1,1,9,0,0.717508," ","integrate(x/(x^2-1)^(3/4),x, algorithm=""maxima"")","2 \, {\left(x^{2} - 1\right)}^{\frac{1}{4}}"," ",0,"2*(x^2 - 1)^(1/4)","A",0
2,1,10,0,0.606711," ","integrate((3*x^2+1)/(x^3+x-1)^(1/2),x, algorithm=""maxima"")","2 \, \sqrt{x^{3} + x - 1}"," ",0,"2*sqrt(x^3 + x - 1)","A",0
3,1,27,0,1.395242," ","integrate((x^8-1)/(x^4-1)^(1/2)/(x^8-2*x^4+1),x, algorithm=""maxima"")","-\frac{\sqrt{x^{2} + 1} \sqrt{x + 1} \sqrt{x - 1} x}{x^{4} - 1}"," ",0,"-sqrt(x^2 + 1)*sqrt(x + 1)*sqrt(x - 1)*x/(x^4 - 1)","B",0
4,1,9,0,0.447906," ","integrate(x/(x^2-1)^(1/3),x, algorithm=""maxima"")","\frac{3}{4} \, {\left(x^{2} - 1\right)}^{\frac{2}{3}}"," ",0,"3/4*(x^2 - 1)^(2/3)","A",0
5,1,9,0,0.427438," ","integrate(x/(x^2-1)^(1/4),x, algorithm=""maxima"")","\frac{2}{3} \, {\left(x^{2} - 1\right)}^{\frac{3}{4}}"," ",0,"2/3*(x^2 - 1)^(3/4)","A",0
6,1,9,0,0.486360," ","integrate(x*(x^2-1)^(1/4),x, algorithm=""maxima"")","\frac{2}{5} \, {\left(x^{2} - 1\right)}^{\frac{5}{4}}"," ",0,"2/5*(x^2 - 1)^(5/4)","A",0
7,1,9,0,0.641753," ","integrate(x*(x^2-1)^(1/3),x, algorithm=""maxima"")","\frac{3}{8} \, {\left(x^{2} - 1\right)}^{\frac{4}{3}}"," ",0,"3/8*(x^2 - 1)^(4/3)","A",0
8,1,9,0,0.622480," ","integrate(x*(x^2-1)^(2/3),x, algorithm=""maxima"")","\frac{3}{10} \, {\left(x^{2} - 1\right)}^{\frac{5}{3}}"," ",0,"3/10*(x^2 - 1)^(5/3)","A",0
9,1,9,0,0.666341," ","integrate(x*(x^2-1)^(3/4),x, algorithm=""maxima"")","\frac{2}{7} \, {\left(x^{2} - 1\right)}^{\frac{7}{4}}"," ",0,"2/7*(x^2 - 1)^(7/4)","A",0
10,1,9,0,0.837213," ","integrate(x/(x^2+1)^(1/3),x, algorithm=""maxima"")","\frac{3}{4} \, {\left(x^{2} + 1\right)}^{\frac{2}{3}}"," ",0,"3/4*(x^2 + 1)^(2/3)","A",0
11,1,9,0,0.379035," ","integrate(x/(x^2+1)^(1/4),x, algorithm=""maxima"")","\frac{2}{3} \, {\left(x^{2} + 1\right)}^{\frac{3}{4}}"," ",0,"2/3*(x^2 + 1)^(3/4)","A",0
12,1,9,0,0.453293," ","integrate(x*(x^2+1)^(1/4),x, algorithm=""maxima"")","\frac{2}{5} \, {\left(x^{2} + 1\right)}^{\frac{5}{4}}"," ",0,"2/5*(x^2 + 1)^(5/4)","A",0
13,1,9,0,0.617151," ","integrate(x*(x^2+1)^(1/3),x, algorithm=""maxima"")","\frac{3}{8} \, {\left(x^{2} + 1\right)}^{\frac{4}{3}}"," ",0,"3/8*(x^2 + 1)^(4/3)","A",0
14,1,9,0,0.346798," ","integrate(x*(x^2+1)^(3/4),x, algorithm=""maxima"")","\frac{2}{7} \, {\left(x^{2} + 1\right)}^{\frac{7}{4}}"," ",0,"2/7*(x^2 + 1)^(7/4)","A",0
15,1,9,0,0.682015," ","integrate(x^2/(x^3-1)^(1/4),x, algorithm=""maxima"")","\frac{4}{9} \, {\left(x^{3} - 1\right)}^{\frac{3}{4}}"," ",0,"4/9*(x^3 - 1)^(3/4)","A",0
16,1,9,0,0.430982," ","integrate(x^2*(x^3-1)^(1/4),x, algorithm=""maxima"")","\frac{4}{15} \, {\left(x^{3} - 1\right)}^{\frac{5}{4}}"," ",0,"4/15*(x^3 - 1)^(5/4)","A",0
17,1,9,0,0.401976," ","integrate(x^2*(x^3-1)^(3/4),x, algorithm=""maxima"")","\frac{4}{21} \, {\left(x^{3} - 1\right)}^{\frac{7}{4}}"," ",0,"4/21*(x^3 - 1)^(7/4)","A",0
18,1,9,0,0.709657," ","integrate(x^2/(x^3+1)^(1/2),x, algorithm=""maxima"")","\frac{2}{3} \, \sqrt{x^{3} + 1}"," ",0,"2/3*sqrt(x^3 + 1)","A",0
19,1,9,0,0.580072," ","integrate(x^2/(x^3+1)^(1/4),x, algorithm=""maxima"")","\frac{4}{9} \, {\left(x^{3} + 1\right)}^{\frac{3}{4}}"," ",0,"4/9*(x^3 + 1)^(3/4)","A",0
20,1,9,0,0.648320," ","integrate(x^2*(x^3+1)^(1/4),x, algorithm=""maxima"")","\frac{4}{15} \, {\left(x^{3} + 1\right)}^{\frac{5}{4}}"," ",0,"4/15*(x^3 + 1)^(5/4)","A",0
21,1,9,0,0.779603," ","integrate(x^2*(x^3+1)^(1/3),x, algorithm=""maxima"")","\frac{1}{4} \, {\left(x^{3} + 1\right)}^{\frac{4}{3}}"," ",0,"1/4*(x^3 + 1)^(4/3)","A",0
22,1,9,0,0.700879," ","integrate(x^2*(x^3+1)^(1/2),x, algorithm=""maxima"")","\frac{2}{9} \, {\left(x^{3} + 1\right)}^{\frac{3}{2}}"," ",0,"2/9*(x^3 + 1)^(3/2)","A",0
23,1,9,0,0.328067," ","integrate(x^2*(x^3+1)^(2/3),x, algorithm=""maxima"")","\frac{1}{5} \, {\left(x^{3} + 1\right)}^{\frac{5}{3}}"," ",0,"1/5*(x^3 + 1)^(5/3)","A",0
24,1,9,0,0.459835," ","integrate(x^2*(x^3+1)^(3/4),x, algorithm=""maxima"")","\frac{4}{21} \, {\left(x^{3} + 1\right)}^{\frac{7}{4}}"," ",0,"4/21*(x^3 + 1)^(7/4)","A",0
25,1,9,0,0.368465," ","integrate((3*x^2+1)*(x^3+x)^(1/3),x, algorithm=""maxima"")","\frac{3}{4} \, {\left(x^{3} + x\right)}^{\frac{4}{3}}"," ",0,"3/4*(x^3 + x)^(4/3)","A",0
26,1,11,0,0.471776," ","integrate(1/x^2/(x^4-1)^(3/4),x, algorithm=""maxima"")","\frac{{\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x}"," ",0,"(x^4 - 1)^(1/4)/x","A",0
27,1,9,0,0.424523," ","integrate(x^3/(x^4-1)^(1/3),x, algorithm=""maxima"")","\frac{3}{8} \, {\left(x^{4} - 1\right)}^{\frac{2}{3}}"," ",0,"3/8*(x^4 - 1)^(2/3)","A",0
28,1,9,0,0.449707," ","integrate(x^3*(x^4-1)^(1/3),x, algorithm=""maxima"")","\frac{3}{16} \, {\left(x^{4} - 1\right)}^{\frac{4}{3}}"," ",0,"3/16*(x^4 - 1)^(4/3)","A",0
29,1,9,0,0.492138," ","integrate(x^3*(x^4-1)^(2/3),x, algorithm=""maxima"")","\frac{3}{20} \, {\left(x^{4} - 1\right)}^{\frac{5}{3}}"," ",0,"3/20*(x^4 - 1)^(5/3)","A",0
30,1,9,0,0.322751," ","integrate(x^3*(x^4-1)^(3/4),x, algorithm=""maxima"")","\frac{1}{7} \, {\left(x^{4} - 1\right)}^{\frac{7}{4}}"," ",0,"1/7*(x^4 - 1)^(7/4)","A",0
31,1,11,0,0.518202," ","integrate((x^4-1)/x^2/(x^4+1)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{x^{4} + 1}}{x}"," ",0,"sqrt(x^4 + 1)/x","A",0
32,1,9,0,0.415729," ","integrate(x^3/(x^4+1)^(1/3),x, algorithm=""maxima"")","\frac{3}{8} \, {\left(x^{4} + 1\right)}^{\frac{2}{3}}"," ",0,"3/8*(x^4 + 1)^(2/3)","A",0
33,1,9,0,0.323951," ","integrate(x^3*(x^4+1)^(1/4),x, algorithm=""maxima"")","\frac{1}{5} \, {\left(x^{4} + 1\right)}^{\frac{5}{4}}"," ",0,"1/5*(x^4 + 1)^(5/4)","A",0
34,1,9,0,0.319833," ","integrate(x^3*(x^4+1)^(1/3),x, algorithm=""maxima"")","\frac{3}{16} \, {\left(x^{4} + 1\right)}^{\frac{4}{3}}"," ",0,"3/16*(x^4 + 1)^(4/3)","A",0
35,1,9,0,0.335095," ","integrate(x^3*(x^4+1)^(2/3),x, algorithm=""maxima"")","\frac{3}{20} \, {\left(x^{4} + 1\right)}^{\frac{5}{3}}"," ",0,"3/20*(x^4 + 1)^(5/3)","A",0
36,1,9,0,0.330502," ","integrate(x^4*(x^5-1)^(2/3),x, algorithm=""maxima"")","\frac{3}{25} \, {\left(x^{5} - 1\right)}^{\frac{5}{3}}"," ",0,"3/25*(x^5 - 1)^(5/3)","A",0
37,1,9,0,0.338945," ","integrate(x^4*(x^5+1)^(2/3),x, algorithm=""maxima"")","\frac{3}{25} \, {\left(x^{5} + 1\right)}^{\frac{5}{3}}"," ",0,"3/25*(x^5 + 1)^(5/3)","A",0
38,1,9,0,0.324606," ","integrate(x^5/(x^6-1)^(1/3),x, algorithm=""maxima"")","\frac{1}{4} \, {\left(x^{6} - 1\right)}^{\frac{2}{3}}"," ",0,"1/4*(x^6 - 1)^(2/3)","A",0
39,1,9,0,0.349472," ","integrate(x^5*(x^6-1)^(1/4),x, algorithm=""maxima"")","\frac{2}{15} \, {\left(x^{6} - 1\right)}^{\frac{5}{4}}"," ",0,"2/15*(x^6 - 1)^(5/4)","A",0
40,1,9,0,0.343203," ","integrate(x^5*(x^6-1)^(1/3),x, algorithm=""maxima"")","\frac{1}{8} \, {\left(x^{6} - 1\right)}^{\frac{4}{3}}"," ",0,"1/8*(x^6 - 1)^(4/3)","A",0
41,1,9,0,0.317870," ","integrate(x^5*(x^6-1)^(1/2),x, algorithm=""maxima"")","\frac{1}{9} \, {\left(x^{6} - 1\right)}^{\frac{3}{2}}"," ",0,"1/9*(x^6 - 1)^(3/2)","A",0
42,1,9,0,0.315211," ","integrate(x^5*(x^6-1)^(3/4),x, algorithm=""maxima"")","\frac{2}{21} \, {\left(x^{6} - 1\right)}^{\frac{7}{4}}"," ",0,"2/21*(x^6 - 1)^(7/4)","A",0
43,1,23,0,0.485901," ","integrate((x^6-2)/x^3/(x^6+1)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{x^{4} - x^{2} + 1} \sqrt{x^{2} + 1}}{x^{2}}"," ",0,"sqrt(x^4 - x^2 + 1)*sqrt(x^2 + 1)/x^2","B",0
44,1,9,0,0.405784," ","integrate(x^5/(x^6+1)^(1/3),x, algorithm=""maxima"")","\frac{1}{4} \, {\left(x^{6} + 1\right)}^{\frac{2}{3}}"," ",0,"1/4*(x^6 + 1)^(2/3)","A",0
45,1,9,0,0.318493," ","integrate(x^5*(x^6+1)^(1/4),x, algorithm=""maxima"")","\frac{2}{15} \, {\left(x^{6} + 1\right)}^{\frac{5}{4}}"," ",0,"2/15*(x^6 + 1)^(5/4)","A",0
46,1,9,0,0.317533," ","integrate(x^5*(x^6+1)^(1/3),x, algorithm=""maxima"")","\frac{1}{8} \, {\left(x^{6} + 1\right)}^{\frac{4}{3}}"," ",0,"1/8*(x^6 + 1)^(4/3)","A",0
47,1,18,0,0.591213," ","integrate((x^3-4)/x^2/(x^3-1)^(3/4),x, algorithm=""maxima"")","-\frac{4 \, {\left(x^{2} + x + 1\right)}^{\frac{1}{4}} {\left(x - 1\right)}^{\frac{1}{4}}}{x}"," ",0,"-4*(x^2 + x + 1)^(1/4)*(x - 1)^(1/4)/x","A",0
48,1,25,0,0.491436," ","integrate(1/x/(x^3+1)^(1/2),x, algorithm=""maxima"")","-\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
49,1,20,0,0.731533," ","integrate((x^3+4)/x^2/(x^3+1)^(3/4),x, algorithm=""maxima"")","-\frac{4 \, {\left(x^{2} - x + 1\right)}^{\frac{1}{4}} {\left(x + 1\right)}^{\frac{1}{4}}}{x}"," ",0,"-4*(x^2 - x + 1)^(1/4)*(x + 1)^(1/4)/x","A",0
50,0,0,0,0.000000," ","integrate((3*x^2+2)*(x^3+x)^(1/3)/(x^2+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} + x\right)}^{\frac{1}{3}} {\left(3 \, x^{2} + 2\right)}}{x^{2} + 1}\,{d x}"," ",0,"integrate((x^3 + x)^(1/3)*(3*x^2 + 2)/(x^2 + 1), x)","F",0
51,0,0,0,0.000000," ","integrate((-2+x)/(-1+x)/(x^3-x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{x - 2}{{\left(x^{3} - x^{2}\right)}^{\frac{1}{4}} {\left(x - 1\right)}}\,{d x}"," ",0,"integrate((x - 2)/((x^3 - x^2)^(1/4)*(x - 1)), x)","F",0
52,0,0,0,0.000000," ","integrate((2+x)/(1+x)/(x^3+x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{x + 2}{{\left(x^{3} + x^{2}\right)}^{\frac{1}{4}} {\left(x + 1\right)}}\,{d x}"," ",0,"integrate((x + 2)/((x^3 + x^2)^(1/4)*(x + 1)), x)","F",0
53,1,12,0,0.427774," ","integrate(1/x^2/(x^4+1)^(3/4),x, algorithm=""maxima"")","-\frac{{\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}"," ",0,"-(x^4 + 1)^(1/4)/x","A",0
54,1,12,0,0.571994," ","integrate((x^4+3)/x^4/(x^4+1)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{x^{4} + 1}}{x^{3}}"," ",0,"-sqrt(x^4 + 1)/x^3","A",0
55,1,12,0,0.443720," ","integrate((4*x^3-1)/(2*x^4-2*x-1)^(1/2),x, algorithm=""maxima"")","\sqrt{2 \, x^{4} - 2 \, x - 1}"," ",0,"sqrt(2*x^4 - 2*x - 1)","A",0
56,1,28,0,0.527696," ","integrate((x^5-4)/x^2/(x^5+1)^(3/4),x, algorithm=""maxima"")","\frac{4 \, {\left(x^{4} - x^{3} + x^{2} - x + 1\right)}^{\frac{1}{4}} {\left(x + 1\right)}^{\frac{1}{4}}}{x}"," ",0,"4*(x^4 - x^3 + x^2 - x + 1)^(1/4)*(x + 1)^(1/4)/x","B",0
57,1,24,0,0.657555," ","integrate((x^5+4)/x^2/(x^5-1)^(3/4),x, algorithm=""maxima"")","\frac{4 \, {\left(x^{4} + x^{3} + x^{2} + x + 1\right)}^{\frac{1}{4}} {\left(x - 1\right)}^{\frac{1}{4}}}{x}"," ",0,"4*(x^4 + x^3 + x^2 + x + 1)^(1/4)*(x - 1)^(1/4)/x","A",0
58,0,0,0,0.000000," ","integrate((5*x^3+2)/(x^3+1)^(1/2)/(x^5+x^2+1),x, algorithm=""maxima"")","\int \frac{5 \, x^{3} + 2}{{\left(x^{5} + x^{2} + 1\right)} \sqrt{x^{3} + 1}}\,{d x}"," ",0,"integrate((5*x^3 + 2)/((x^5 + x^2 + 1)*sqrt(x^3 + 1)), x)","F",0
59,1,10,0,0.597187," ","integrate(1/x/(x^6-1)^(1/2),x, algorithm=""maxima"")","\frac{1}{3} \, \arctan\left(\sqrt{x^{6} - 1}\right)"," ",0,"1/3*arctan(sqrt(x^6 - 1))","A",0
60,1,24,0,0.783301," ","integrate((x^6-2)/x^2/(x^6+1)^(3/4),x, algorithm=""maxima"")","\frac{2 \, {\left(x^{4} - x^{2} + 1\right)}^{\frac{1}{4}} {\left(x^{2} + 1\right)}^{\frac{1}{4}}}{x}"," ",0,"2*(x^4 - x^2 + 1)^(1/4)*(x^2 + 1)^(1/4)/x","A",0
61,1,25,0,0.506632," ","integrate(1/x/(x^6+1)^(1/2),x, algorithm=""maxima"")","-\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
62,1,33,0,0.503192," ","integrate((x^6+2)/x^2/(x^6-1)^(3/4),x, algorithm=""maxima"")","\frac{2 \, {\left(x^{2} + x + 1\right)}^{\frac{1}{4}} {\left(x^{2} - x + 1\right)}^{\frac{1}{4}} {\left(x + 1\right)}^{\frac{1}{4}} {\left(x - 1\right)}^{\frac{1}{4}}}{x}"," ",0,"2*(x^2 + x + 1)^(1/4)*(x^2 - x + 1)^(1/4)*(x + 1)^(1/4)*(x - 1)^(1/4)/x","B",0
63,0,0,0,0.000000," ","integrate((2*x^6-1)/(x^6+1)^(1/2)/(x^6-x^2+1),x, algorithm=""maxima"")","\int \frac{2 \, x^{6} - 1}{{\left(x^{6} - x^{2} + 1\right)} \sqrt{x^{6} + 1}}\,{d x}"," ",0,"integrate((2*x^6 - 1)/((x^6 - x^2 + 1)*sqrt(x^6 + 1)), x)","F",0
64,0,0,0,0.000000," ","integrate((2*x^6+1)/(x^6-1)^(1/2)/(x^6+x^2-1),x, algorithm=""maxima"")","\int \frac{2 \, x^{6} + 1}{{\left(x^{6} + x^{2} - 1\right)} \sqrt{x^{6} - 1}}\,{d x}"," ",0,"integrate((2*x^6 + 1)/((x^6 + x^2 - 1)*sqrt(x^6 - 1)), x)","F",0
65,1,11,0,0.480429," ","integrate((3*x^2-1)/(x^3-x)^(1/3),x, algorithm=""maxima"")","\frac{3}{2} \, {\left(x^{3} - x\right)}^{\frac{2}{3}}"," ",0,"3/2*(x^3 - x)^(2/3)","A",0
66,1,11,0,0.364328," ","integrate((3*x^2-1)*(x^3-x)^(1/3),x, algorithm=""maxima"")","\frac{3}{4} \, {\left(x^{3} - x\right)}^{\frac{4}{3}}"," ",0,"3/4*(x^3 - x)^(4/3)","A",0
67,0,0,0,0.000000," ","integrate((-x^3+x+2)/(x^3+x+1)^(1/2)/(x^3-x^2+x+1),x, algorithm=""maxima"")","-\int \frac{x^{3} - x - 2}{{\left(x^{3} - x^{2} + x + 1\right)} \sqrt{x^{3} + x + 1}}\,{d x}"," ",0,"-integrate((x^3 - x - 2)/((x^3 - x^2 + x + 1)*sqrt(x^3 + x + 1)), x)","F",0
68,0,0,0,0.000000," ","integrate((x^4+1)/(-x^4+1)/(x^4+x^2-1)^(1/2),x, algorithm=""maxima"")","-\int \frac{x^{4} + 1}{\sqrt{x^{4} + x^{2} - 1} {\left(x^{4} - 1\right)}}\,{d x}"," ",0,"-integrate((x^4 + 1)/(sqrt(x^4 + x^2 - 1)*(x^4 - 1)), x)","F",0
69,1,12,0,0.681854," ","integrate((x^3-4)/x^4/(x^3-1)^(1/4),x, algorithm=""maxima"")","-\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
70,1,12,0,0.430292," ","integrate((x^3-1)^(1/3)/x^5,x, algorithm=""maxima"")","\frac{{\left(x^{3} - 1\right)}^{\frac{4}{3}}}{4 \, x^{4}}"," ",0,"1/4*(x^3 - 1)^(4/3)/x^4","A",0
71,1,12,0,0.403197," ","integrate((x^3-1)^(2/3)/x^6,x, algorithm=""maxima"")","\frac{{\left(x^{3} - 1\right)}^{\frac{5}{3}}}{5 \, x^{5}}"," ",0,"1/5*(x^3 - 1)^(5/3)/x^5","A",0
72,1,12,0,0.548537," ","integrate((x^3+1)^(1/3)/x^5,x, algorithm=""maxima"")","-\frac{{\left(x^{3} + 1\right)}^{\frac{4}{3}}}{4 \, x^{4}}"," ",0,"-1/4*(x^3 + 1)^(4/3)/x^4","A",0
73,1,12,0,0.516619," ","integrate((x^3+1)^(2/3)/x^6,x, algorithm=""maxima"")","-\frac{{\left(x^{3} + 1\right)}^{\frac{5}{3}}}{5 \, x^{5}}"," ",0,"-1/5*(x^3 + 1)^(5/3)/x^5","A",0
74,1,30,0,0.511472," ","integrate((x^3-2)*(x^3+1)^(3/2)/x^6,x, algorithm=""maxima"")","\frac{2 \, {\left(x^{6} + 2 \, x^{3} + 1\right)} \sqrt{x^{2} - x + 1} \sqrt{x + 1}}{5 \, x^{5}}"," ",0,"2/5*(x^6 + 2*x^3 + 1)*sqrt(x^2 - x + 1)*sqrt(x + 1)/x^5","B",0
75,1,12,0,0.564558," ","integrate((x^3+4)/x^4/(x^3+1)^(1/4),x, algorithm=""maxima"")","-\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
76,1,17,0,0.503045," ","integrate(1/x^2/(x^3+x)^(1/3),x, algorithm=""maxima"")","-\frac{3 \, {\left(x^{3} + x\right)}}{4 \, {\left(x^{2} + 1\right)}^{\frac{1}{3}} x^{\frac{7}{3}}}"," ",0,"-3/4*(x^3 + x)/((x^2 + 1)^(1/3)*x^(7/3))","A",0
77,0,0,0,0.000000," ","integrate((x^2+1)*(x^2+3)/x^6/(x^3+x)^(1/4),x, algorithm=""maxima"")","\int \frac{{\left(x^{2} + 3\right)} {\left(x^{2} + 1\right)}}{{\left(x^{3} + x\right)}^{\frac{1}{4}} x^{6}}\,{d x}"," ",0,"integrate((x^2 + 3)*(x^2 + 1)/((x^3 + x)^(1/4)*x^6), x)","F",0
78,1,17,0,0.506633," ","integrate((x^3+x)^(1/3)/x^4,x, algorithm=""maxima"")","-\frac{3 \, {\left(x^{3} + x\right)} {\left(x^{2} + 1\right)}^{\frac{1}{3}}}{8 \, x^{\frac{11}{3}}}"," ",0,"-3/8*(x^3 + x)*(x^2 + 1)^(1/3)/x^(11/3)","A",0
79,1,12,0,0.363526," ","integrate(1/x^4/(x^4-1)^(1/4),x, algorithm=""maxima"")","\frac{{\left(x^{4} - 1\right)}^{\frac{3}{4}}}{3 \, x^{3}}"," ",0,"1/3*(x^4 - 1)^(3/4)/x^3","A",0
80,1,12,0,0.312379," ","integrate((x^4-1)^(3/4)/x^8,x, algorithm=""maxima"")","\frac{{\left(x^{4} - 1\right)}^{\frac{7}{4}}}{7 \, x^{7}}"," ",0,"1/7*(x^4 - 1)^(7/4)/x^7","A",0
81,0,0,0,0.000000," ","integrate((x^4-1)/x^2/(x^3+x)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{4} - 1}{\sqrt{x^{3} + x} x^{2}}\,{d x}"," ",0,"integrate((x^4 - 1)/(sqrt(x^3 + x)*x^2), x)","F",0
82,1,12,0,0.418274," ","integrate(1/x^4/(x^4+1)^(1/4),x, algorithm=""maxima"")","-\frac{{\left(x^{4} + 1\right)}^{\frac{3}{4}}}{3 \, x^{3}}"," ",0,"-1/3*(x^4 + 1)^(3/4)/x^3","A",0
83,1,22,0,0.463420," ","integrate((x^4-3)*(x^4+1)^(1/3)/x^5,x, algorithm=""maxima"")","\frac{3}{4} \, {\left(x^{4} + 1\right)}^{\frac{1}{3}} + \frac{3 \, {\left(x^{4} + 1\right)}^{\frac{1}{3}}}{4 \, x^{4}}"," ",0,"3/4*(x^4 + 1)^(1/3) + 3/4*(x^4 + 1)^(1/3)/x^4","A",0
84,1,12,0,0.544789," ","integrate((x^2-1)*(x^2+1)*(x^4+1)^(1/2)/x^4,x, algorithm=""maxima"")","\frac{{\left(x^{4} + 1\right)}^{\frac{3}{2}}}{3 \, x^{3}}"," ",0,"1/3*(x^4 + 1)^(3/2)/x^3","A",0
85,1,12,0,0.624875," ","integrate((x^4-3)*(x^4+1)^(2/3)/x^6,x, algorithm=""maxima"")","\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
86,1,12,0,0.495644," ","integrate((x^4+1)^(3/4)/x^8,x, algorithm=""maxima"")","-\frac{{\left(x^{4} + 1\right)}^{\frac{7}{4}}}{7 \, x^{7}}"," ",0,"-1/7*(x^4 + 1)^(7/4)/x^7","A",0
87,1,27,0,0.601924," ","integrate((x^4-1)^(2/3)*(x^4+3)/x^6,x, algorithm=""maxima"")","\frac{3 \, {\left(x^{4} - 1\right)} {\left(x^{2} + 1\right)}^{\frac{2}{3}} {\left(x + 1\right)}^{\frac{2}{3}} {\left(x - 1\right)}^{\frac{2}{3}}}{5 \, x^{5}}"," ",0,"3/5*(x^4 - 1)*(x^2 + 1)^(2/3)*(x + 1)^(2/3)*(x - 1)^(2/3)/x^5","B",0
88,1,50,0,0.591615," ","integrate((x^4+1)^(1/3)*(x^4+3)/x^9,x, algorithm=""maxima"")","\frac{{\left(x^{4} + 1\right)}^{\frac{4}{3}} + 2 \, {\left(x^{4} + 1\right)}^{\frac{1}{3}}}{8 \, {\left(2 \, x^{4} - {\left(x^{4} + 1\right)}^{2} + 1\right)}} - \frac{{\left(x^{4} + 1\right)}^{\frac{1}{3}}}{4 \, x^{4}}"," ",0,"1/8*((x^4 + 1)^(4/3) + 2*(x^4 + 1)^(1/3))/(2*x^4 - (x^4 + 1)^2 + 1) - 1/4*(x^4 + 1)^(1/3)/x^4","B",0
89,1,25,0,0.674137," ","integrate(1/x^2/(x^4+x)^(1/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(x^{4} + x\right)}}{3 \, \sqrt{x^{2} - x + 1} \sqrt{x + 1} x^{\frac{5}{2}}}"," ",0,"-2/3*(x^4 + x)/(sqrt(x^2 - x + 1)*sqrt(x + 1)*x^(5/2))","B",0
90,1,58,0,0.439332," ","integrate((x^3+1)/x^6/(x^4+x)^(1/4),x, algorithm=""maxima"")","-\frac{4 \, {\left(x^{4} + x\right)}}{9 \, {\left(x^{2} - x + 1\right)}^{\frac{1}{4}} {\left(x + 1\right)}^{\frac{1}{4}} x^{\frac{13}{4}}} + \frac{4 \, {\left(4 \, x^{7} + x^{4} - 3 \, x\right)}}{63 \, {\left(x^{2} - x + 1\right)}^{\frac{1}{4}} {\left(x + 1\right)}^{\frac{1}{4}} x^{\frac{25}{4}}}"," ",0,"-4/9*(x^4 + x)/((x^2 - x + 1)^(1/4)*(x + 1)^(1/4)*x^(13/4)) + 4/63*(4*x^7 + x^4 - 3*x)/((x^2 - x + 1)^(1/4)*(x + 1)^(1/4)*x^(25/4))","B",0
91,0,0,0,0.000000," ","integrate((x^3-2)*(x^4+x)^(1/3)/(x^3+1)^2,x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + x\right)}^{\frac{1}{3}} {\left(x^{3} - 2\right)}}{{\left(x^{3} + 1\right)}^{2}}\,{d x}"," ",0,"integrate((x^4 + x)^(1/3)*(x^3 - 2)/(x^3 + 1)^2, x)","F",0
92,1,17,0,0.668168," ","integrate((x^4+x^2)^(1/4)/x^2/(x^2+1),x, algorithm=""maxima"")","-\frac{2 \, {\left(x^{3} + x\right)}}{{\left(x^{2} + 1\right)}^{\frac{3}{4}} x^{\frac{3}{2}}}"," ",0,"-2*(x^3 + x)/((x^2 + 1)^(3/4)*x^(3/2))","A",0
93,1,50,0,0.662847," ","integrate((x^5-6)*(x^5-1)^(2/3)/x^11,x, algorithm=""maxima"")","-\frac{2 \, {\left(x^{5} - 1\right)}^{\frac{5}{3}} - {\left(x^{5} - 1\right)}^{\frac{2}{3}}}{5 \, {\left(2 \, x^{5} + {\left(x^{5} - 1\right)}^{2} - 1\right)}} - \frac{{\left(x^{5} - 1\right)}^{\frac{2}{3}}}{5 \, x^{5}}"," ",0,"-1/5*(2*(x^5 - 1)^(5/3) - (x^5 - 1)^(2/3))/(2*x^5 + (x^5 - 1)^2 - 1) - 1/5*(x^5 - 1)^(2/3)/x^5","B",0
94,1,33,0,0.894629," ","integrate((x^5-4)*(x^5+1)^(3/4)/x^8,x, algorithm=""maxima"")","\frac{4 \, {\left(x^{5} + 1\right)} {\left(x^{4} - x^{3} + x^{2} - x + 1\right)}^{\frac{3}{4}} {\left(x + 1\right)}^{\frac{3}{4}}}{7 \, x^{7}}"," ",0,"4/7*(x^5 + 1)*(x^4 - x^3 + x^2 - x + 1)^(3/4)*(x + 1)^(3/4)/x^7","B",0
95,1,29,0,0.653933," ","integrate((x^5-1)^(3/4)*(x^5+4)/x^8,x, algorithm=""maxima"")","\frac{4 \, {\left(x^{5} - 1\right)} {\left(x^{4} + x^{3} + x^{2} + x + 1\right)}^{\frac{3}{4}} {\left(x - 1\right)}^{\frac{3}{4}}}{7 \, x^{7}}"," ",0,"4/7*(x^5 - 1)*(x^4 + x^3 + x^2 + x + 1)^(3/4)*(x - 1)^(3/4)/x^7","B",0
96,1,50,0,0.573535," ","integrate((x^5+1)^(2/3)*(x^5+6)/x^11,x, algorithm=""maxima"")","\frac{2 \, {\left(x^{5} + 1\right)}^{\frac{5}{3}} + {\left(x^{5} + 1\right)}^{\frac{2}{3}}}{5 \, {\left(2 \, x^{5} - {\left(x^{5} + 1\right)}^{2} + 1\right)}} - \frac{{\left(x^{5} + 1\right)}^{\frac{2}{3}}}{5 \, x^{5}}"," ",0,"1/5*(2*(x^5 + 1)^(5/3) + (x^5 + 1)^(2/3))/(2*x^5 - (x^5 + 1)^2 + 1) - 1/5*(x^5 + 1)^(2/3)/x^5","B",0
97,0,0,0,0.000000," ","integrate((x^4-3)*(x^4+1)/x^6/(x^5+x)^(1/4),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + 1\right)} {\left(x^{4} - 3\right)}}{{\left(x^{5} + x\right)}^{\frac{1}{4}} x^{6}}\,{d x}"," ",0,"integrate((x^4 + 1)*(x^4 - 3)/((x^5 + x)^(1/4)*x^6), x)","F",0
98,0,0,0,0.000000," ","integrate((x^2-1)*(x^5+x^3)^(1/4)/x^2/(x^2+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(x^{2} - 1\right)}}{{\left(x^{2} + 1\right)} x^{2}}\,{d x}"," ",0,"integrate((x^5 + x^3)^(1/4)*(x^2 - 1)/((x^2 + 1)*x^2), x)","F",0
99,0,0,0,0.000000," ","integrate((3*a*x^5-2*b)/(a*x^5+b)^(1/2)/(a*x^5+x^2+b),x, algorithm=""maxima"")","\int \frac{3 \, a x^{5} - 2 \, b}{{\left(a x^{5} + x^{2} + b\right)} \sqrt{a x^{5} + b}}\,{d x}"," ",0,"integrate((3*a*x^5 - 2*b)/((a*x^5 + x^2 + b)*sqrt(a*x^5 + b)), x)","F",0
100,1,12,0,0.453176," ","integrate(1/x^4/(x^6-1)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{x^{6} - 1}}{3 \, x^{3}}"," ",0,"1/3*sqrt(x^6 - 1)/x^3","A",0
101,1,12,0,0.453161," ","integrate((x^6-1)^(1/3)/x^9,x, algorithm=""maxima"")","\frac{{\left(x^{6} - 1\right)}^{\frac{4}{3}}}{8 \, x^{8}}"," ",0,"1/8*(x^6 - 1)^(4/3)/x^8","A",0
102,1,12,0,0.534444," ","integrate((x^6-1)^(1/2)/x^10,x, algorithm=""maxima"")","\frac{{\left(x^{6} - 1\right)}^{\frac{3}{2}}}{9 \, x^{9}}"," ",0,"1/9*(x^6 - 1)^(3/2)/x^9","A",0
103,1,12,0,0.375312," ","integrate(1/x^4/(x^6+1)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{x^{6} + 1}}{3 \, x^{3}}"," ",0,"-1/3*sqrt(x^6 + 1)/x^3","A",0
104,1,12,0,0.373895," ","integrate(1/x^5/(x^6+1)^(1/3),x, algorithm=""maxima"")","-\frac{{\left(x^{6} + 1\right)}^{\frac{2}{3}}}{4 \, x^{4}}"," ",0,"-1/4*(x^6 + 1)^(2/3)/x^4","A",0
105,1,29,0,0.548505," ","integrate((x^6-2)/x^4/(x^6+1)^(1/4),x, algorithm=""maxima"")","\frac{2 \, {\left(x^{6} + 1\right)}}{3 \, {\left(x^{4} - x^{2} + 1\right)}^{\frac{1}{4}} {\left(x^{2} + 1\right)}^{\frac{1}{4}} x^{3}}"," ",0,"2/3*(x^6 + 1)/((x^4 - x^2 + 1)^(1/4)*(x^2 + 1)^(1/4)*x^3)","B",0
106,1,12,0,0.353917," ","integrate((x^6+1)^(1/2)/x^10,x, algorithm=""maxima"")","-\frac{{\left(x^{6} + 1\right)}^{\frac{3}{2}}}{9 \, x^{9}}"," ",0,"-1/9*(x^6 + 1)^(3/2)/x^9","A",0
107,1,29,0,0.542388," ","integrate((x^6-2)*(x^6+1)^(3/4)/x^8,x, algorithm=""maxima"")","\frac{2 \, {\left(x^{6} + 1\right)} {\left(x^{4} - x^{2} + 1\right)}^{\frac{3}{4}} {\left(x^{2} + 1\right)}^{\frac{3}{4}}}{7 \, x^{7}}"," ",0,"2/7*(x^6 + 1)*(x^4 - x^2 + 1)^(3/4)*(x^2 + 1)^(3/4)/x^7","B",0
108,1,38,0,0.490310," ","integrate((x^6-1)^(1/3)*(x^6+1)/x^5,x, algorithm=""maxima"")","\frac{{\left(x^{6} - 1\right)} {\left(x^{2} + x + 1\right)}^{\frac{1}{3}} {\left(x^{2} - x + 1\right)}^{\frac{1}{3}} {\left(x + 1\right)}^{\frac{1}{3}} {\left(x - 1\right)}^{\frac{1}{3}}}{4 \, x^{4}}"," ",0,"1/4*(x^6 - 1)*(x^2 + x + 1)^(1/3)*(x^2 - x + 1)^(1/3)*(x + 1)^(1/3)*(x - 1)^(1/3)/x^4","B",0
109,1,38,0,0.553304," ","integrate((x^6+2)/x^4/(x^6-1)^(1/4),x, algorithm=""maxima"")","\frac{2 \, {\left(x^{6} - 1\right)}}{3 \, {\left(x^{2} + x + 1\right)}^{\frac{1}{4}} {\left(x^{2} - x + 1\right)}^{\frac{1}{4}} {\left(x + 1\right)}^{\frac{1}{4}} {\left(x - 1\right)}^{\frac{1}{4}} x^{3}}"," ",0,"2/3*(x^6 - 1)/((x^2 + x + 1)^(1/4)*(x^2 - x + 1)^(1/4)*(x + 1)^(1/4)*(x - 1)^(1/4)*x^3)","B",0
110,1,38,0,0.575346," ","integrate((x^6-1)^(3/4)*(x^6+2)/x^8,x, algorithm=""maxima"")","\frac{2 \, {\left(x^{6} - 1\right)} {\left(x^{2} + x + 1\right)}^{\frac{3}{4}} {\left(x^{2} - x + 1\right)}^{\frac{3}{4}} {\left(x + 1\right)}^{\frac{3}{4}} {\left(x - 1\right)}^{\frac{3}{4}}}{7 \, x^{7}}"," ",0,"2/7*(x^6 - 1)*(x^2 + x + 1)^(3/4)*(x^2 - x + 1)^(3/4)*(x + 1)^(3/4)*(x - 1)^(3/4)/x^7","B",0
111,0,0,0,0.000000," ","integrate((2*x^5-3)/x^3/(x^6+x)^(1/4),x, algorithm=""maxima"")","\int \frac{2 \, x^{5} - 3}{{\left(x^{6} + x\right)}^{\frac{1}{4}} x^{3}}\,{d x}"," ",0,"integrate((2*x^5 - 3)/((x^6 + x)^(1/4)*x^3), x)","F",0
112,0,0,0,0.000000," ","integrate((x^4+x)^(1/3)*(x^6-x^3-2)/x^6,x, algorithm=""maxima"")","\int \frac{{\left(x^{6} - x^{3} - 2\right)} {\left(x^{4} + x\right)}^{\frac{1}{3}}}{x^{6}}\,{d x}"," ",0,"integrate((x^6 - x^3 - 2)*(x^4 + x)^(1/3)/x^6, x)","F",0
113,0,0,0,0.000000," ","integrate(x*(x^6+2)/(x^6-1)^(1/2)/(x^6-x^4-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} + 2\right)} x}{{\left(x^{6} - x^{4} - 1\right)} \sqrt{x^{6} - 1}}\,{d x}"," ",0,"integrate((x^6 + 2)*x/((x^6 - x^4 - 1)*sqrt(x^6 - 1)), x)","F",0
114,1,27,0,0.964792," ","integrate((x^8-1)/x^4/(x^4-1)^(1/2),x, algorithm=""maxima"")","\frac{{\left(x^{4} - 1\right)} \sqrt{x^{2} + 1} \sqrt{x + 1} \sqrt{x - 1}}{3 \, x^{3}}"," ",0,"1/3*(x^4 - 1)*sqrt(x^2 + 1)*sqrt(x + 1)*sqrt(x - 1)/x^3","B",0
115,1,12,0,0.580827," ","integrate((x^8-1)*(x^8+1)^(1/2)/x^7,x, algorithm=""maxima"")","\frac{{\left(x^{8} + 1\right)}^{\frac{3}{2}}}{6 \, x^{6}}"," ",0,"1/6*(x^8 + 1)^(3/2)/x^6","A",0
116,0,0,0,0.000000," ","integrate((2*x^2+x+2)/(-1+2*x)/(x^4+x)^(1/2),x, algorithm=""maxima"")","\int \frac{2 \, x^{2} + x + 2}{\sqrt{x^{4} + x} {\left(2 \, x - 1\right)}}\,{d x}"," ",0,"integrate((2*x^2 + x + 2)/(sqrt(x^4 + x)*(2*x - 1)), x)","F",0
117,0,0,0,0.000000," ","integrate((x^2-1)/(x^2+1)/(x^4+x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} - 1}{\sqrt{x^{4} + x^{2} + 1} {\left(x^{2} + 1\right)}}\,{d x}"," ",0,"integrate((x^2 - 1)/(sqrt(x^4 + x^2 + 1)*(x^2 + 1)), x)","F",0
118,0,0,0,0.000000," ","integrate((x^4-1)/(x^4+1)/(x^4+x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{4} - 1}{\sqrt{x^{4} + x^{2} + 1} {\left(x^{4} + 1\right)}}\,{d x}"," ",0,"integrate((x^4 - 1)/(sqrt(x^4 + x^2 + 1)*(x^4 + 1)), x)","F",0
119,0,0,0,0.000000," ","integrate((2*x^4+2*x^2-1)/(2*x^2+1)/(x^6-1)^(1/2),x, algorithm=""maxima"")","\int \frac{2 \, x^{4} + 2 \, x^{2} - 1}{\sqrt{x^{6} - 1} {\left(2 \, x^{2} + 1\right)}}\,{d x}"," ",0,"integrate((2*x^4 + 2*x^2 - 1)/(sqrt(x^6 - 1)*(2*x^2 + 1)), x)","F",0
120,1,19,0,0.339600," ","integrate(x^3/(x^2-1)^(3/4),x, algorithm=""maxima"")","\frac{2}{5} \, {\left(x^{2} - 1\right)}^{\frac{5}{4}} + 2 \, {\left(x^{2} - 1\right)}^{\frac{1}{4}}"," ",0,"2/5*(x^2 - 1)^(5/4) + 2*(x^2 - 1)^(1/4)","A",0
121,1,12,0,0.537682," ","integrate((3+x)/(-1+x)^2/(x^2-1)^(1/3),x, algorithm=""maxima"")","-\frac{3 \, {\left(x + 1\right)}^{\frac{2}{3}}}{2 \, {\left(x - 1\right)}^{\frac{4}{3}}}"," ",0,"-3/2*(x + 1)^(2/3)/(x - 1)^(4/3)","A",0
122,1,19,0,0.529664," ","integrate(x^3/(x^2+1)^(2/3),x, algorithm=""maxima"")","\frac{3}{8} \, {\left(x^{2} + 1\right)}^{\frac{4}{3}} - \frac{3}{2} \, {\left(x^{2} + 1\right)}^{\frac{1}{3}}"," ",0,"3/8*(x^2 + 1)^(4/3) - 3/2*(x^2 + 1)^(1/3)","A",0
123,1,22,0,0.566669," ","integrate(1/x^2/(x^3-x)^(1/3),x, algorithm=""maxima"")","\frac{3 \, {\left(x^{3} - x\right)}}{4 \, {\left(x + 1\right)}^{\frac{1}{3}} {\left(x - 1\right)}^{\frac{1}{3}} x^{\frac{7}{3}}}"," ",0,"3/4*(x^3 - x)/((x + 1)^(1/3)*(x - 1)^(1/3)*x^(7/3))","A",0
124,1,22,0,0.407656," ","integrate((x^3-x)^(1/3)/x^4,x, algorithm=""maxima"")","\frac{3 \, {\left(x^{3} - x\right)} {\left(x + 1\right)}^{\frac{1}{3}} {\left(x - 1\right)}^{\frac{1}{3}}}{8 \, x^{\frac{11}{3}}}"," ",0,"3/8*(x^3 - x)*(x + 1)^(1/3)*(x - 1)^(1/3)/x^(11/3)","A",0
125,0,0,0,0.000000," ","integrate((x^2-1)/(x^2+1)/(x^3+x)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} - 1}{\sqrt{x^{3} + x} {\left(x^{2} + 1\right)}}\,{d x}"," ",0,"integrate((x^2 - 1)/(sqrt(x^3 + x)*(x^2 + 1)), x)","F",0
126,0,0,0,0.000000," ","integrate(1/x/(x^3+x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x}\,{d x}"," ",0,"integrate(1/((x^3 + x^2)^(1/3)*x), x)","F",0
127,0,0,0,0.000000," ","integrate((2+x)/x^2/(x^3+x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{x + 2}{{\left(x^{3} + x^{2}\right)}^{\frac{1}{4}} x^{2}}\,{d x}"," ",0,"integrate((x + 2)/((x^3 + x^2)^(1/4)*x^2), x)","F",0
128,1,107,0,0.454499," ","integrate((a*x^3-2*b)*(a*x^3+b)^(1/2)/x^4,x, algorithm=""maxima"")","\frac{1}{3} \, {\left(\sqrt{b} \log\left(\frac{\sqrt{a x^{3} + b} - \sqrt{b}}{\sqrt{a x^{3} + b} + \sqrt{b}}\right) + 2 \, \sqrt{a x^{3} + b}\right)} a - \frac{1}{3} \, {\left(\frac{a \log\left(\frac{\sqrt{a x^{3} + b} - \sqrt{b}}{\sqrt{a x^{3} + b} + \sqrt{b}}\right)}{\sqrt{b}} - \frac{2 \, \sqrt{a x^{3} + b}}{x^{3}}\right)} b"," ",0,"1/3*(sqrt(b)*log((sqrt(a*x^3 + b) - sqrt(b))/(sqrt(a*x^3 + b) + sqrt(b))) + 2*sqrt(a*x^3 + b))*a - 1/3*(a*log((sqrt(a*x^3 + b) - sqrt(b))/(sqrt(a*x^3 + b) + sqrt(b)))/sqrt(b) - 2*sqrt(a*x^3 + b)/x^3)*b","B",0
129,1,28,0,0.592793," ","integrate((x^2+x+1)/(-1+x)^2/(x^4-1)^(1/2),x, algorithm=""maxima"")","-\frac{x^{3} + x^{2} + x + 1}{2 \, \sqrt{x^{2} + 1} \sqrt{x + 1} {\left(x - 1\right)}^{\frac{3}{2}}}"," ",0,"-1/2*(x^3 + x^2 + x + 1)/(sqrt(x^2 + 1)*sqrt(x + 1)*(x - 1)^(3/2))","A",0
130,0,0,0,0.000000," ","integrate((x^4-1)/x^2/(x^3-x)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{4} - 1}{\sqrt{x^{3} - x} x^{2}}\,{d x}"," ",0,"integrate((x^4 - 1)/(sqrt(x^3 - x)*x^2), x)","F",0
131,1,25,0,0.699179," ","integrate(1/x^2/(x^4-x)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(x^{4} - x\right)}}{3 \, \sqrt{x^{2} + x + 1} \sqrt{x - 1} x^{\frac{5}{2}}}"," ",0,"2/3*(x^4 - x)/(sqrt(x^2 + x + 1)*sqrt(x - 1)*x^(5/2))","A",0
132,1,25,0,0.576095," ","integrate(1/x^3/(x^4-x)^(1/4),x, algorithm=""maxima"")","\frac{4 \, {\left(x^{4} - x\right)}}{9 \, {\left(x^{2} + x + 1\right)}^{\frac{1}{4}} {\left(x - 1\right)}^{\frac{1}{4}} x^{\frac{13}{4}}}"," ",0,"4/9*(x^4 - x)/((x^2 + x + 1)^(1/4)*(x - 1)^(1/4)*x^(13/4))","A",0
133,1,58,0,0.751841," ","integrate((x^3-1)/x^6/(x^4-x)^(1/4),x, algorithm=""maxima"")","\frac{4 \, {\left(x^{4} - x\right)}}{9 \, {\left(x^{2} + x + 1\right)}^{\frac{1}{4}} {\left(x - 1\right)}^{\frac{1}{4}} x^{\frac{13}{4}}} - \frac{4 \, {\left(4 \, x^{7} - x^{4} - 3 \, x\right)}}{63 \, {\left(x^{2} + x + 1\right)}^{\frac{1}{4}} {\left(x - 1\right)}^{\frac{1}{4}} x^{\frac{25}{4}}}"," ",0,"4/9*(x^4 - x)/((x^2 + x + 1)^(1/4)*(x - 1)^(1/4)*x^(13/4)) - 4/63*(4*x^7 - x^4 - 3*x)/((x^2 + x + 1)^(1/4)*(x - 1)^(1/4)*x^(25/4))","B",0
134,1,25,0,0.672102," ","integrate((x^4-x)^(1/4)/x^5,x, algorithm=""maxima"")","\frac{4 \, {\left(x^{4} - x\right)} {\left(x^{2} + x + 1\right)}^{\frac{1}{4}} {\left(x - 1\right)}^{\frac{1}{4}}}{15 \, x^{\frac{19}{4}}}"," ",0,"4/15*(x^4 - x)*(x^2 + x + 1)^(1/4)*(x - 1)^(1/4)/x^(19/4)","A",0
135,0,0,0,0.000000," ","integrate((x^3+2)*(x^4-x)^(1/3)/(x^3-1)^2,x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - x\right)}^{\frac{1}{3}} {\left(x^{3} + 2\right)}}{{\left(x^{3} - 1\right)}^{2}}\,{d x}"," ",0,"integrate((x^4 - x)^(1/3)*(x^3 + 2)/(x^3 - 1)^2, x)","F",0
136,1,25,0,0.772208," ","integrate((x^4-x)^(1/2)/x^6,x, algorithm=""maxima"")","\frac{2 \, {\left(x^{4} - x\right)} \sqrt{x^{2} + x + 1} \sqrt{x - 1}}{9 \, x^{\frac{11}{2}}}"," ",0,"2/9*(x^4 - x)*sqrt(x^2 + x + 1)*sqrt(x - 1)/x^(11/2)","A",0
137,0,0,0,0.000000," ","integrate(x/(x^4+x)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{x^{4} + x}}\,{d x}"," ",0,"integrate(x/sqrt(x^4 + x), x)","F",0
138,0,0,0,0.000000," ","integrate((x^3-2)/(x^3+1)/(x^4+x)^(1/3),x, algorithm=""maxima"")","\int \frac{x^{3} - 2}{{\left(x^{4} + x\right)}^{\frac{1}{3}} {\left(x^{3} + 1\right)}}\,{d x}"," ",0,"integrate((x^3 - 2)/((x^4 + x)^(1/3)*(x^3 + 1)), x)","F",0
139,0,0,0,0.000000," ","integrate((x^2-1)/x/(x^4+x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{x^{2} - 1}{{\left(x^{4} + x^{2}\right)}^{\frac{1}{3}} x}\,{d x}"," ",0,"integrate((x^2 - 1)/((x^4 + x^2)^(1/3)*x), x)","F",0
140,1,17,0,0.541661," ","integrate(1/x^2/(x^4+x^2)^(1/4),x, algorithm=""maxima"")","-\frac{2 \, {\left(x^{3} + x\right)}}{3 \, {\left(x^{2} + 1\right)}^{\frac{1}{4}} x^{\frac{5}{2}}}"," ",0,"-2/3*(x^3 + x)/((x^2 + 1)^(1/4)*x^(5/2))","A",0
141,1,17,0,0.507618," ","integrate((x^4+x^2)^(1/4)/x^4,x, algorithm=""maxima"")","-\frac{2 \, {\left(x^{3} + x\right)} {\left(x^{2} + 1\right)}^{\frac{1}{4}}}{5 \, x^{\frac{7}{2}}}"," ",0,"-2/5*(x^3 + x)*(x^2 + 1)^(1/4)/x^(7/2)","A",0
142,0,0,0,0.000000," ","integrate((x^2-1)*(x^4+x^2)^(1/3)/x^3,x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + x^{2}\right)}^{\frac{1}{3}} {\left(x^{2} - 1\right)}}{x^{3}}\,{d x}"," ",0,"integrate((x^4 + x^2)^(1/3)*(x^2 - 1)/x^3, x)","F",0
143,0,0,0,0.000000," ","integrate(1/x/(x^4+x^3)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x}\,{d x}"," ",0,"integrate(1/((x^4 + x^3)^(1/4)*x), x)","F",0
144,0,0,0,0.000000," ","integrate((1+x)*(x^4+x^3)^(1/4)/x^4,x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(x + 1\right)}}{x^{4}}\,{d x}"," ",0,"integrate((x^4 + x^3)^(1/4)*(x + 1)/x^4, x)","F",0
145,0,0,0,0.000000," ","integrate((2*x^4-x-2)/(x^4+x+1)/(x^4+x^2+x+1)^(1/2),x, algorithm=""maxima"")","\int \frac{2 \, x^{4} - x - 2}{\sqrt{x^{4} + x^{2} + x + 1} {\left(x^{4} + x + 1\right)}}\,{d x}"," ",0,"integrate((2*x^4 - x - 2)/(sqrt(x^4 + x^2 + x + 1)*(x^4 + x + 1)), x)","F",0
146,0,0,0,0.000000," ","integrate((x^4+3)/x^3/(x^5-x)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{4} + 3}{{\left(x^{5} - x\right)}^{\frac{1}{4}} x^{3}}\,{d x}"," ",0,"integrate((x^4 + 3)/((x^5 - x)^(1/4)*x^3), x)","F",0
147,0,0,0,0.000000," ","integrate((x^4-1)*(x^4+3)/x^6/(x^5-x)^(1/4),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + 3\right)} {\left(x^{4} - 1\right)}}{{\left(x^{5} - x\right)}^{\frac{1}{4}} x^{6}}\,{d x}"," ",0,"integrate((x^4 + 3)*(x^4 - 1)/((x^5 - x)^(1/4)*x^6), x)","F",0
148,0,0,0,0.000000," ","integrate((x^4-3)/(x^4+1)/(x^5+x)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{4} - 3}{{\left(x^{5} + x\right)}^{\frac{1}{4}} {\left(x^{4} + 1\right)}}\,{d x}"," ",0,"integrate((x^4 - 3)/((x^5 + x)^(1/4)*(x^4 + 1)), x)","F",0
149,0,0,0,0.000000," ","integrate((2*x^3-1)*(x^5+x^2)^(1/3)/x^3,x, algorithm=""maxima"")","\int \frac{{\left(x^{5} + x^{2}\right)}^{\frac{1}{3}} {\left(2 \, x^{3} - 1\right)}}{x^{3}}\,{d x}"," ",0,"integrate((x^5 + x^2)^(1/3)*(2*x^3 - 1)/x^3, x)","F",0
150,0,0,0,0.000000," ","integrate((x^2-1)/x/(x^5+x^3)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{2} - 1}{{\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} x}\,{d x}"," ",0,"integrate((x^2 - 1)/((x^5 + x^3)^(1/4)*x), x)","F",0
151,0,0,0,0.000000," ","integrate((x^4-1)*(x^5+x^3)^(1/4)/x^4,x, algorithm=""maxima"")","\int \frac{{\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(x^{4} - 1\right)}}{x^{4}}\,{d x}"," ",0,"integrate((x^5 + x^3)^(1/4)*(x^4 - 1)/x^4, x)","F",0
152,1,33,0,0.486157," ","integrate(x^2/(x^6-1)^(1/2),x, algorithm=""maxima"")","\frac{1}{6} \, \log\left(\frac{\sqrt{x^{6} - 1}}{x^{3}} + 1\right) - \frac{1}{6} \, \log\left(\frac{\sqrt{x^{6} - 1}}{x^{3}} - 1\right)"," ",0,"1/6*log(sqrt(x^6 - 1)/x^3 + 1) - 1/6*log(sqrt(x^6 - 1)/x^3 - 1)","B",0
153,1,33,0,0.507230," ","integrate(x^2/(x^6+1)^(1/2),x, algorithm=""maxima"")","\frac{1}{6} \, \log\left(\frac{\sqrt{x^{6} + 1}}{x^{3}} + 1\right) - \frac{1}{6} \, \log\left(\frac{\sqrt{x^{6} + 1}}{x^{3}} - 1\right)"," ",0,"1/6*log(sqrt(x^6 + 1)/x^3 + 1) - 1/6*log(sqrt(x^6 + 1)/x^3 - 1)","B",0
154,0,0,0,0.000000," ","integrate((x^5-1)*(2*x^5+3)/x^6/(x^6-x)^(1/4),x, algorithm=""maxima"")","\int \frac{{\left(2 \, x^{5} + 3\right)} {\left(x^{5} - 1\right)}}{{\left(x^{6} - x\right)}^{\frac{1}{4}} x^{6}}\,{d x}"," ",0,"integrate((2*x^5 + 3)*(x^5 - 1)/((x^6 - x)^(1/4)*x^6), x)","F",0
155,1,21,0,0.694343," ","integrate(1/x^3/(x^6+x^2)^(1/3),x, algorithm=""maxima"")","-\frac{3 \, {\left(x^{6} + x^{2}\right)}}{8 \, {\left(x^{4} + 1\right)}^{\frac{1}{3}} {\left(x^{2}\right)}^{\frac{7}{3}}}"," ",0,"-3/8*(x^6 + x^2)/((x^4 + 1)^(1/3)*(x^2)^(7/3))","A",0
156,0,0,0,0.000000," ","integrate((x^4-1)/x^2/(x^6+x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{4} - 1}{{\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} x^{2}}\,{d x}"," ",0,"integrate((x^4 - 1)/((x^6 + x^2)^(1/4)*x^2), x)","F",0
157,0,0,0,0.000000," ","integrate((x^4-1)*(x^6+x^2)^(1/4)/x^4,x, algorithm=""maxima"")","\int \frac{{\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} - 1\right)}}{x^{4}}\,{d x}"," ",0,"integrate((x^6 + x^2)^(1/4)*(x^4 - 1)/x^4, x)","F",0
158,0,0,0,0.000000," ","integrate((1+(x^2+1)^(1/2))^(1/2)/(x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{\sqrt{x^{2} + 1} + 1}}{\sqrt{x^{2} + 1}}\,{d x}"," ",0,"integrate(sqrt(sqrt(x^2 + 1) + 1)/sqrt(x^2 + 1), x)","F",0
159,1,15,0,0.761822," ","integrate((x^2-2*x-2)/(x^2+x+1)/(x^3-1)^(1/2),x, algorithm=""maxima"")","-\frac{2 \, \sqrt{x - 1}}{\sqrt{x^{2} + x + 1}}"," ",0,"-2*sqrt(x - 1)/sqrt(x^2 + x + 1)","A",0
160,0,0,0,0.000000," ","integrate((a*x^2+b)/x/(a*x^3-b*x)^(1/2),x, algorithm=""maxima"")","\int \frac{a x^{2} + b}{\sqrt{a x^{3} - b x} x}\,{d x}"," ",0,"integrate((a*x^2 + b)/(sqrt(a*x^3 - b*x)*x), x)","F",0
161,0,0,0,0.000000," ","integrate((2*x^2-2*x-1)/(2*x^2+1)/(x^4+x)^(1/2),x, algorithm=""maxima"")","\int \frac{2 \, x^{2} - 2 \, x - 1}{\sqrt{x^{4} + x} {\left(2 \, x^{2} + 1\right)}}\,{d x}"," ",0,"integrate((2*x^2 - 2*x - 1)/(sqrt(x^4 + x)*(2*x^2 + 1)), x)","F",0
162,0,0,0,0.000000," ","integrate((x^4+1)/(x^4-1)/(x^4-x^2-1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{4} + 1}{\sqrt{x^{4} - x^{2} - 1} {\left(x^{4} - 1\right)}}\,{d x}"," ",0,"integrate((x^4 + 1)/(sqrt(x^4 - x^2 - 1)*(x^4 - 1)), x)","F",0
163,1,15,0,0.322086," ","integrate(x/(x^4-4*x^3+6*x^2-4*x+1)^(1/5),x, algorithm=""maxima"")","\frac{5 \, {\left(x^{2} + 4 \, x - 5\right)}}{6 \, {\left(x - 1\right)}^{\frac{4}{5}}}"," ",0,"5/6*(x^2 + 4*x - 5)/(x - 1)^(4/5)","A",0
164,1,15,0,0.582041," ","integrate((x^6-2)/x^4/(x^6+x^4+1)^(1/4),x, algorithm=""maxima"")","\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
165,1,15,0,0.534286," ","integrate((x^8+1)/x^4/(x^8+x^4-1)^(1/4),x, algorithm=""maxima"")","\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
166,1,43,0,0.558178," ","integrate((x^8-1)/x^4/(x^8+x^4+1)^(1/4),x, algorithm=""maxima"")","\frac{x^{8} + x^{4} + 1}{3 \, {\left(x^{4} - x^{2} + 1\right)}^{\frac{1}{4}} {\left(x^{2} + x + 1\right)}^{\frac{1}{4}} {\left(x^{2} - x + 1\right)}^{\frac{1}{4}} x^{3}}"," ",0,"1/3*(x^8 + x^4 + 1)/((x^4 - x^2 + 1)^(1/4)*(x^2 + x + 1)^(1/4)*(x^2 - x + 1)^(1/4)*x^3)","B",0
167,0,0,0,0.000000," ","integrate((x^2+1)/(x^2-1)/(x^3-x)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} + 1}{\sqrt{x^{3} - x} {\left(x^{2} - 1\right)}}\,{d x}"," ",0,"integrate((x^2 + 1)/(sqrt(x^3 - x)*(x^2 - 1)), x)","F",0
168,0,0,0,0.000000," ","integrate(1/(x^2+1)/(x^3+x)^(1/3),x, algorithm=""maxima"")","-\frac{3 \, {\left(x^{3} + x\right)}}{4 \, {\left(x^{\frac{7}{3}} + x^{\frac{1}{3}}\right)} {\left(x^{2} + 1\right)}^{\frac{1}{3}}} + \int \frac{3 \, {\left(x^{2} + 1\right)}^{\frac{2}{3}}}{2 \, {\left(x^{\frac{13}{3}} + 2 \, x^{\frac{7}{3}} + x^{\frac{1}{3}}\right)}}\,{d x}"," ",0,"-3/4*(x^3 + x)/((x^(7/3) + x^(1/3))*(x^2 + 1)^(1/3)) + integrate(3/2*(x^2 + 1)^(2/3)/(x^(13/3) + 2*x^(7/3) + x^(1/3)), x)","F",0
169,0,0,0,0.000000," ","integrate(1/x/(x^3-x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x}\,{d x}"," ",0,"integrate(1/((x^3 - x^2)^(1/3)*x), x)","F",0
170,1,16,0,0.419781," ","integrate(x^2/(a*x^3-b)^(1/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{a x^{3} - b}}{3 \, a}"," ",0,"2/3*sqrt(a*x^3 - b)/a","A",0
171,1,16,0,0.554539," ","integrate(x^2*(a*x^3-b)^(1/2),x, algorithm=""maxima"")","\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
172,1,79,0,0.732285," ","integrate((a*x^3-b)^(1/2)*(a*x^3+2*b)/x^4,x, algorithm=""maxima"")","-\frac{2}{3} \, {\left(\sqrt{b} \arctan\left(\frac{\sqrt{a x^{3} - b}}{\sqrt{b}}\right) - \sqrt{a x^{3} - b}\right)} a + \frac{2}{3} \, {\left(\frac{a \arctan\left(\frac{\sqrt{a x^{3} - b}}{\sqrt{b}}\right)}{\sqrt{b}} - \frac{\sqrt{a x^{3} - b}}{x^{3}}\right)} b"," ",0,"-2/3*(sqrt(b)*arctan(sqrt(a*x^3 - b)/sqrt(b)) - sqrt(a*x^3 - b))*a + 2/3*(a*arctan(sqrt(a*x^3 - b)/sqrt(b))/sqrt(b) - sqrt(a*x^3 - b)/x^3)*b","B",0
173,1,22,0,0.606321," ","integrate(1/x^2/(x^4-x^2)^(1/4),x, algorithm=""maxima"")","\frac{2 \, {\left(x^{3} - x\right)}}{3 \, {\left(x + 1\right)}^{\frac{1}{4}} {\left(x - 1\right)}^{\frac{1}{4}} x^{\frac{5}{2}}}"," ",0,"2/3*(x^3 - x)/((x + 1)^(1/4)*(x - 1)^(1/4)*x^(5/2))","A",0
174,1,22,0,0.420544," ","integrate((x^4-x^2)^(1/4)/x^4,x, algorithm=""maxima"")","\frac{2 \, {\left(x^{3} - x\right)} {\left(x + 1\right)}^{\frac{1}{4}} {\left(x - 1\right)}^{\frac{1}{4}}}{5 \, x^{\frac{7}{2}}}"," ",0,"2/5*(x^3 - x)*(x + 1)^(1/4)*(x - 1)^(1/4)/x^(7/2)","A",0
175,0,0,0,0.000000," ","integrate((x^2+1)*(x^4-x^2)^(1/3)/x^3,x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} {\left(x^{2} + 1\right)}}{x^{3}}\,{d x}"," ",0,"integrate((x^4 - x^2)^(1/3)*(x^2 + 1)/x^3, x)","F",0
176,0,0,0,0.000000," ","integrate(1/x/(x^4-x^3)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} x}\,{d x}"," ",0,"integrate(1/((x^4 - x^3)^(1/4)*x), x)","F",0
177,0,0,0,0.000000," ","integrate((-1+x)*(x^4-x^3)^(1/4)/x^4,x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(x - 1\right)}}{x^{4}}\,{d x}"," ",0,"integrate((x^4 - x^3)^(1/4)*(x - 1)/x^4, x)","F",0
178,0,0,0,0.000000," ","integrate((x^4-x^3)^(1/4)/x^3,x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x^{3}}\,{d x}"," ",0,"integrate((x^4 - x^3)^(1/4)/x^3, x)","F",0
179,1,16,0,0.551906," ","integrate(x*(2*x^2+1)*(2*x^4+2*x^2-1)^(1/2),x, algorithm=""maxima"")","\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
180,0,0,0,0.000000," ","integrate((2*x^3+1)*(x^5-x^2)^(1/3)/x^3,x, algorithm=""maxima"")","\int \frac{{\left(x^{5} - x^{2}\right)}^{\frac{1}{3}} {\left(2 \, x^{3} + 1\right)}}{x^{3}}\,{d x}"," ",0,"integrate((x^5 - x^2)^(1/3)*(2*x^3 + 1)/x^3, x)","F",0
181,0,0,0,0.000000," ","integrate((x^4-1)/x^2/(x^5-x^3)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{4} - 1}{{\left(x^{5} - x^{3}\right)}^{\frac{1}{4}} x^{2}}\,{d x}"," ",0,"integrate((x^4 - 1)/((x^5 - x^3)^(1/4)*x^2), x)","F",0
182,0,0,0,0.000000," ","integrate((x^4-1)*(x^5-x^3)^(1/4)/x^4,x, algorithm=""maxima"")","\int \frac{{\left(x^{5} - x^{3}\right)}^{\frac{1}{4}} {\left(x^{4} - 1\right)}}{x^{4}}\,{d x}"," ",0,"integrate((x^5 - x^3)^(1/4)*(x^4 - 1)/x^4, x)","F",0
183,1,23,0,0.815328," ","integrate((2*x^4-2*x^2-1)/x^2/(x^2+1)/(x^6+1)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{x^{4} - x^{2} + 1}}{\sqrt{x^{2} + 1} x}"," ",0,"sqrt(x^4 - x^2 + 1)/(sqrt(x^2 + 1)*x)","A",0
184,1,30,0,0.413645," ","integrate(1/x^3/(x^6-x^2)^(1/3),x, algorithm=""maxima"")","\frac{3 \, {\left(x^{6} - x^{2}\right)}}{8 \, {\left(x^{2} + 1\right)}^{\frac{1}{3}} {\left(x^{2} - 1\right)}^{\frac{1}{3}} {\left(x^{2}\right)}^{\frac{7}{3}}}"," ",0,"3/8*(x^6 - x^2)/((x^2 + 1)^(1/3)*(x^2 - 1)^(1/3)*(x^2)^(7/3))","A",0
185,0,0,0,0.000000," ","integrate((x^4+1)/x^2/(x^6-x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{4} + 1}{{\left(x^{6} - x^{2}\right)}^{\frac{1}{4}} x^{2}}\,{d x}"," ",0,"integrate((x^4 + 1)/((x^6 - x^2)^(1/4)*x^2), x)","F",0
186,0,0,0,0.000000," ","integrate((x^4+1)*(x^6-x^2)^(1/4)/x^4,x, algorithm=""maxima"")","\int \frac{{\left(x^{6} - x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} + 1\right)}}{x^{4}}\,{d x}"," ",0,"integrate((x^6 - x^2)^(1/4)*(x^4 + 1)/x^4, x)","F",0
187,0,0,0,0.000000," ","integrate((x^8-1)/x^4/(x^6-x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{8} - 1}{{\left(x^{6} - x^{2}\right)}^{\frac{1}{4}} x^{4}}\,{d x}"," ",0,"integrate((x^8 - 1)/((x^6 - x^2)^(1/4)*x^4), x)","F",0
188,1,29,0,0.602651," ","integrate((x^8+1)/(-x^8+1)^(1/4)/(x^8-1),x, algorithm=""maxima"")","-\frac{x}{{\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(x^{2} + 1\right)}^{\frac{1}{4}} {\left(x + 1\right)}^{\frac{1}{4}} {\left(-x + 1\right)}^{\frac{1}{4}}}"," ",0,"-x/((x^4 + 1)^(1/4)*(x^2 + 1)^(1/4)*(x + 1)^(1/4)*(-x + 1)^(1/4))","A",0
189,0,0,0,0.000000," ","integrate(1/(x^8-x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{8} - x^{2}}}\,{d x}"," ",0,"integrate(1/sqrt(x^8 - x^2), x)","F",0
190,0,0,0,0.000000," ","integrate((1+(x^2+1)^(1/2))^(1/2)/(x^2+1),x, algorithm=""maxima"")","\int \frac{\sqrt{\sqrt{x^{2} + 1} + 1}}{x^{2} + 1}\,{d x}"," ",0,"integrate(sqrt(sqrt(x^2 + 1) + 1)/(x^2 + 1), x)","F",0
191,0,0,0,0.000000," ","integrate((-1+x)/(2+x)/(x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{x - 1}{\sqrt{x^{3} - 1} {\left(x + 2\right)}}\,{d x}"," ",0,"integrate((x - 1)/(sqrt(x^3 - 1)*(x + 2)), x)","F",0
192,0,0,0,0.000000," ","integrate((x^2-2*x-2)/(x^2+2)/(x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} - 2 \, x - 2}{\sqrt{x^{3} - 1} {\left(x^{2} + 2\right)}}\,{d x}"," ",0,"integrate((x^2 - 2*x - 2)/(sqrt(x^3 - 1)*(x^2 + 2)), x)","F",0
193,0,0,0,0.000000," ","integrate((x^2-2*x-2)/(x^2+2*x)/(x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} - 2 \, x - 2}{\sqrt{x^{3} - 1} {\left(x^{2} + 2 \, x\right)}}\,{d x}"," ",0,"integrate((x^2 - 2*x - 2)/(sqrt(x^3 - 1)*(x^2 + 2*x)), x)","F",0
194,0,0,0,0.000000," ","integrate((2*x^2+2*x-1)/(-1+x)/x/(x^4-x)^(1/2),x, algorithm=""maxima"")","\int \frac{2 \, x^{2} + 2 \, x - 1}{\sqrt{x^{4} - x} {\left(x - 1\right)} x}\,{d x}"," ",0,"integrate((2*x^2 + 2*x - 1)/(sqrt(x^4 - x)*(x - 1)*x), x)","F",0
195,0,0,0,0.000000," ","integrate((2*x^2+2*x-1)/(2*x^2+1)/(x^4-x)^(1/2),x, algorithm=""maxima"")","\int \frac{2 \, x^{2} + 2 \, x - 1}{\sqrt{x^{4} - x} {\left(2 \, x^{2} + 1\right)}}\,{d x}"," ",0,"integrate((2*x^2 + 2*x - 1)/(sqrt(x^4 - x)*(2*x^2 + 1)), x)","F",0
196,0,0,0,0.000000," ","integrate((2*x^2-2*x-1)/(-1+2*x)/(x^4+x)^(1/2),x, algorithm=""maxima"")","\int \frac{2 \, x^{2} - 2 \, x - 1}{\sqrt{x^{4} + x} {\left(2 \, x - 1\right)}}\,{d x}"," ",0,"integrate((2*x^2 - 2*x - 1)/(sqrt(x^4 + x)*(2*x - 1)), x)","F",0
197,0,0,0,0.000000," ","integrate((2*x^2-2*x-1)/(x^2-x+1)/(x^4+x)^(1/2),x, algorithm=""maxima"")","\int \frac{2 \, x^{2} - 2 \, x - 1}{\sqrt{x^{4} + x} {\left(x^{2} - x + 1\right)}}\,{d x}"," ",0,"integrate((2*x^2 - 2*x - 1)/(sqrt(x^4 + x)*(x^2 - x + 1)), x)","F",0
198,0,0,0,0.000000," ","integrate(1/(1+x)/(x^4+x^3)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(x + 1\right)}}\,{d x}"," ",0,"integrate(1/((x^4 + x^3)^(1/4)*(x + 1)), x)","F",0
199,0,0,0,0.000000," ","integrate((2*x^4+1)/(2*x^4-1)/(2*x^4-x^2-1)^(1/2),x, algorithm=""maxima"")","\int \frac{2 \, x^{4} + 1}{\sqrt{2 \, x^{4} - x^{2} - 1} {\left(2 \, x^{4} - 1\right)}}\,{d x}"," ",0,"integrate((2*x^4 + 1)/(sqrt(2*x^4 - x^2 - 1)*(2*x^4 - 1)), x)","F",0
200,0,0,0,0.000000," ","integrate((2*x^4-1)/(2*x^4+2*x^2+1)/(2*x^4+3*x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{2 \, x^{4} - 1}{\sqrt{2 \, x^{4} + 3 \, x^{2} + 1} {\left(2 \, x^{4} + 2 \, x^{2} + 1\right)}}\,{d x}"," ",0,"integrate((2*x^4 - 1)/(sqrt(2*x^4 + 3*x^2 + 1)*(2*x^4 + 2*x^2 + 1)), x)","F",0
201,1,27,0,0.737327," ","integrate((-x^5+x^4-1)^(1/4)*(x^5-4)/x^6,x, algorithm=""maxima"")","\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
202,1,17,0,0.638675," ","integrate((x^8+1)*(x^8-2*x^4-1)^(1/2)/x^7,x, algorithm=""maxima"")","\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
203,0,0,0,0.000000," ","integrate(x^2*(x^3-2)*(x^3+1)^(1/2)/(4*x^9+13*x^6+12*x^3+4),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{3} + 1} {\left(x^{3} - 2\right)} x^{2}}{4 \, x^{9} + 13 \, x^{6} + 12 \, x^{3} + 4}\,{d x}"," ",0,"integrate(sqrt(x^3 + 1)*(x^3 - 2)*x^2/(4*x^9 + 13*x^6 + 12*x^3 + 4), x)","F",0
204,0,0,0,0.000000," ","integrate(1/(x^2-1)/(x^3-x)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{3} - x\right)}^{\frac{1}{3}} {\left(x^{2} - 1\right)}}\,{d x}"," ",0,"integrate(1/((x^3 - x)^(1/3)*(x^2 - 1)), x)","F",0
205,0,0,0,0.000000," ","integrate(1/(x^3-1)/(x^4-x)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{4} - x\right)}^{\frac{1}{4}} {\left(x^{3} - 1\right)}}\,{d x}"," ",0,"integrate(1/((x^4 - x)^(1/4)*(x^3 - 1)), x)","F",0
206,0,0,0,0.000000," ","integrate((b+(a*x^2+b^2)^(1/2))^(1/2)/(a*x^2+b^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{b + \sqrt{a x^{2} + b^{2}}}}{\sqrt{a x^{2} + b^{2}}}\,{d x}"," ",0,"integrate(sqrt(b + sqrt(a*x^2 + b^2))/sqrt(a*x^2 + b^2), x)","F",0
207,1,33,0,0.453827," ","integrate(1/x/(x^2+1)^(1/4),x, algorithm=""maxima"")","\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
208,1,23,0,0.319721," ","integrate((-5+2*x)/(x^2-4*x+4)^(1/4),x, algorithm=""maxima"")","\frac{4 \, {\left(x^{2} + 2 \, x - 8\right)}}{3 \, \sqrt{x - 2}} - 10 \, \sqrt{x - 2}"," ",0,"4/3*(x^2 + 2*x - 8)/sqrt(x - 2) - 10*sqrt(x - 2)","A",0
209,1,19,0,0.371733," ","integrate(x^5*(x^3+1)^(1/3),x, algorithm=""maxima"")","\frac{1}{7} \, {\left(x^{3} + 1\right)}^{\frac{7}{3}} - \frac{1}{4} \, {\left(x^{3} + 1\right)}^{\frac{4}{3}}"," ",0,"1/7*(x^3 + 1)^(7/3) - 1/4*(x^3 + 1)^(4/3)","A",0
210,0,0,0,0.000000," ","integrate((3*x^2+1)*(x^3-x)^(1/3)/x^2,x, algorithm=""maxima"")","\int \frac{{\left(x^{3} - x\right)}^{\frac{1}{3}} {\left(3 \, x^{2} + 1\right)}}{x^{2}}\,{d x}"," ",0,"integrate((x^3 - x)^(1/3)*(3*x^2 + 1)/x^2, x)","F",0
211,0,0,0,0.000000," ","integrate(1/(-1+x)/(x^3-x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(x - 1\right)}}\,{d x}"," ",0,"integrate(1/((x^3 - x^2)^(1/3)*(x - 1)), x)","F",0
212,0,0,0,0.000000," ","integrate(1/x^2/(x^3+x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x^{2}}\,{d x}"," ",0,"integrate(1/((x^3 + x^2)^(1/3)*x^2), x)","F",0
213,0,0,0,0.000000," ","integrate((2*x^2+3)*(2*x^3+x)^(1/2)/(2*x^2+1)^2,x, algorithm=""maxima"")","\int \frac{\sqrt{2 \, x^{3} + x} {\left(2 \, x^{2} + 3\right)}}{{\left(2 \, x^{2} + 1\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(2*x^3 + x)*(2*x^2 + 3)/(2*x^2 + 1)^2, x)","F",0
214,1,24,0,0.315130," ","integrate(1/x^6/(x^4-1)^(3/4),x, algorithm=""maxima"")","\frac{{\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x} - \frac{{\left(x^{4} - 1\right)}^{\frac{5}{4}}}{5 \, x^{5}}"," ",0,"(x^4 - 1)^(1/4)/x - 1/5*(x^4 - 1)^(5/4)/x^5","A",0
215,1,23,0,0.335083," ","integrate(1/x^4/(x^4+1)^(5/4),x, algorithm=""maxima"")","-\frac{x}{{\left(x^{4} + 1\right)}^{\frac{1}{4}}} - \frac{{\left(x^{4} + 1\right)}^{\frac{3}{4}}}{3 \, x^{3}}"," ",0,"-x/(x^4 + 1)^(1/4) - 1/3*(x^4 + 1)^(3/4)/x^3","A",0
216,1,24,0,0.379512," ","integrate(1/x^6/(x^4+1)^(3/4),x, algorithm=""maxima"")","\frac{{\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x} - \frac{{\left(x^{4} + 1\right)}^{\frac{5}{4}}}{5 \, x^{5}}"," ",0,"(x^4 + 1)^(1/4)/x - 1/5*(x^4 + 1)^(5/4)/x^5","A",0
217,1,25,0,0.326292," ","integrate((x^4-1)/x^6/(x^4+1)^(3/4),x, algorithm=""maxima"")","-\frac{2 \, {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x} + \frac{{\left(x^{4} + 1\right)}^{\frac{5}{4}}}{5 \, x^{5}}"," ",0,"-2*(x^4 + 1)^(1/4)/x + 1/5*(x^4 + 1)^(5/4)/x^5","A",0
218,0,0,0,0.000000," ","integrate((x^2+1)/(-x^2+1)/(x^4+1)^(1/2),x, algorithm=""maxima"")","-\int \frac{x^{2} + 1}{\sqrt{x^{4} + 1} {\left(x^{2} - 1\right)}}\,{d x}"," ",0,"-integrate((x^2 + 1)/(sqrt(x^4 + 1)*(x^2 - 1)), x)","F",0
219,0,0,0,0.000000," ","integrate((2*x^2+2*x-1)/(1+2*x)/(x^4-x)^(1/2),x, algorithm=""maxima"")","\int \frac{2 \, x^{2} + 2 \, x - 1}{\sqrt{x^{4} - x} {\left(2 \, x + 1\right)}}\,{d x}"," ",0,"integrate((2*x^2 + 2*x - 1)/(sqrt(x^4 - x)*(2*x + 1)), x)","F",0
220,1,32,0,0.909792," ","integrate(1/x^5/(x^4+x)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(2 \, x^{7} + x^{4} - x\right)}}{9 \, \sqrt{x^{2} - x + 1} \sqrt{x + 1} x^{\frac{11}{2}}}"," ",0,"2/9*(2*x^7 + x^4 - x)/(sqrt(x^2 - x + 1)*sqrt(x + 1)*x^(11/2))","A",0
221,1,58,0,0.634405," ","integrate((x^3-1)/x^6/(x^4+x)^(1/4),x, algorithm=""maxima"")","-\frac{4 \, {\left(x^{4} + x\right)}}{9 \, {\left(x^{2} - x + 1\right)}^{\frac{1}{4}} {\left(x + 1\right)}^{\frac{1}{4}} x^{\frac{13}{4}}} - \frac{4 \, {\left(4 \, x^{7} + x^{4} - 3 \, x\right)}}{63 \, {\left(x^{2} - x + 1\right)}^{\frac{1}{4}} {\left(x + 1\right)}^{\frac{1}{4}} x^{\frac{25}{4}}}"," ",0,"-4/9*(x^4 + x)/((x^2 - x + 1)^(1/4)*(x + 1)^(1/4)*x^(13/4)) - 4/63*(4*x^7 + x^4 - 3*x)/((x^2 - x + 1)^(1/4)*(x + 1)^(1/4)*x^(25/4))","B",0
222,1,58,0,0.838766," ","integrate((2*x^3+1)/x^6/(x^4+x)^(1/4),x, algorithm=""maxima"")","-\frac{8 \, {\left(x^{4} + x\right)}}{9 \, {\left(x^{2} - x + 1\right)}^{\frac{1}{4}} {\left(x + 1\right)}^{\frac{1}{4}} x^{\frac{13}{4}}} + \frac{4 \, {\left(4 \, x^{7} + x^{4} - 3 \, x\right)}}{63 \, {\left(x^{2} - x + 1\right)}^{\frac{1}{4}} {\left(x + 1\right)}^{\frac{1}{4}} x^{\frac{25}{4}}}"," ",0,"-8/9*(x^4 + x)/((x^2 - x + 1)^(1/4)*(x + 1)^(1/4)*x^(13/4)) + 4/63*(4*x^7 + x^4 - 3*x)/((x^2 - x + 1)^(1/4)*(x + 1)^(1/4)*x^(25/4))","B",0
223,0,0,0,0.000000," ","integrate((x^2-1)/(x^2+1)/(x^4+x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{x^{2} - 1}{{\left(x^{4} + x^{2}\right)}^{\frac{1}{3}} {\left(x^{2} + 1\right)}}\,{d x}"," ",0,"integrate((x^2 - 1)/((x^4 + x^2)^(1/3)*(x^2 + 1)), x)","F",0
224,0,0,0,0.000000," ","integrate(1/(x^2+1)/(x^4+x^2)^(1/4),x, algorithm=""maxima"")","-\frac{2 \, {\left(x^{3} + x\right)}}{3 \, {\left(x^{\frac{5}{2}} + \sqrt{x}\right)} {\left(x^{2} + 1\right)}^{\frac{1}{4}}} + \int \frac{4 \, {\left(x^{2} + 1\right)}^{\frac{3}{4}}}{3 \, {\left(x^{\frac{9}{2}} + 2 \, x^{\frac{5}{2}} + \sqrt{x}\right)}}\,{d x}"," ",0,"-2/3*(x^3 + x)/((x^(5/2) + sqrt(x))*(x^2 + 1)^(1/4)) + integrate(4/3*(x^2 + 1)^(3/4)/(x^(9/2) + 2*x^(5/2) + sqrt(x)), x)","F",0
225,0,0,0,0.000000," ","integrate(1/(-1+x)/(x^4-x^3)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(x - 1\right)}}\,{d x}"," ",0,"integrate(1/((x^4 - x^3)^(1/4)*(x - 1)), x)","F",0
226,0,0,0,0.000000," ","integrate(1/x/(x^4+x^3)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{4} + x^{3}} x}\,{d x}"," ",0,"integrate(1/(sqrt(x^4 + x^3)*x), x)","F",0
227,0,0,0,0.000000," ","integrate(1/x^2/(x^4+x^3)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x^{2}}\,{d x}"," ",0,"integrate(1/((x^4 + x^3)^(1/4)*x^2), x)","F",0
228,0,0,0,0.000000," ","integrate((1+2*x)/(x^4+2*x^3+x^2+3)^(1/2),x, algorithm=""maxima"")","\int \frac{2 \, x + 1}{\sqrt{x^{4} + 2 \, x^{3} + x^{2} + 3}}\,{d x}"," ",0,"integrate((2*x + 1)/sqrt(x^4 + 2*x^3 + x^2 + 3), x)","F",0
229,1,25,0,0.614278," ","integrate((2*x^4-1)/x^8/(x^4-1)^(1/4),x, algorithm=""maxima"")","\frac{{\left(x^{4} - 1\right)}^{\frac{3}{4}}}{3 \, x^{3}} + \frac{{\left(x^{4} - 1\right)}^{\frac{7}{4}}}{7 \, x^{7}}"," ",0,"1/3*(x^4 - 1)^(3/4)/x^3 + 1/7*(x^4 - 1)^(7/4)/x^7","A",0
230,1,22,0,0.377475," ","integrate((2*x^4+1)/x^4/(x^4+1)^(5/4),x, algorithm=""maxima"")","\frac{x}{{\left(x^{4} + 1\right)}^{\frac{1}{4}}} - \frac{{\left(x^{4} + 1\right)}^{\frac{3}{4}}}{3 \, x^{3}}"," ",0,"x/(x^4 + 1)^(1/4) - 1/3*(x^4 + 1)^(3/4)/x^3","A",0
231,0,0,0,0.000000," ","integrate((4*x^3+1)*(2*x^4+2*x+1)/(x^4+x)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(2 \, x^{4} + 2 \, x + 1\right)} {\left(4 \, x^{3} + 1\right)}}{\sqrt{x^{4} + x}}\,{d x}"," ",0,"integrate((2*x^4 + 2*x + 1)*(4*x^3 + 1)/sqrt(x^4 + x), x)","F",0
232,0,0,0,0.000000," ","integrate((x^2-1)/(x^2+1)/(x^5+x^3)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{2} - 1}{{\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(x^{2} + 1\right)}}\,{d x}"," ",0,"integrate((x^2 - 1)/((x^5 + x^3)^(1/4)*(x^2 + 1)), x)","F",0
233,1,25,0,0.325215," ","integrate(1/x^10/(x^6-1)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{x^{6} - 1}}{3 \, x^{3}} - \frac{{\left(x^{6} - 1\right)}^{\frac{3}{2}}}{9 \, x^{9}}"," ",0,"1/3*sqrt(x^6 - 1)/x^3 - 1/9*(x^6 - 1)^(3/2)/x^9","A",0
234,1,25,0,0.671911," ","integrate((x^6+1)/x^10/(x^6-1)^(1/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{x^{6} - 1}}{3 \, x^{3}} - \frac{{\left(x^{6} - 1\right)}^{\frac{3}{2}}}{9 \, x^{9}}"," ",0,"2/3*sqrt(x^6 - 1)/x^3 - 1/9*(x^6 - 1)^(3/2)/x^9","A",0
235,0,0,0,0.000000," ","integrate((3*x^4-1)/(x^4+1)/(x^6+x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{3 \, x^{4} - 1}{{\left(x^{6} + x^{2}\right)}^{\frac{1}{3}} {\left(x^{4} + 1\right)}}\,{d x}"," ",0,"integrate((3*x^4 - 1)/((x^6 + x^2)^(1/3)*(x^4 + 1)), x)","F",0
236,0,0,0,0.000000," ","integrate((x^4-1)/(x^4+1)/(x^6+x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{4} - 1}{{\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} + 1\right)}}\,{d x}"," ",0,"integrate((x^4 - 1)/((x^6 + x^2)^(1/4)*(x^4 + 1)), x)","F",0
237,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(2 \, x^{6} + x^{2} + 1\right)} {\left(2 \, x^{2} + 3\right)} x^{2}}{\sqrt{x^{6} + x^{2} + 1} {\left(x^{2} + 1\right)}^{2}}\,{d x}"," ",0,"integrate((2*x^6 + x^2 + 1)*(2*x^2 + 3)*x^2/(sqrt(x^6 + x^2 + 1)*(x^2 + 1)^2), x)","F",0
238,0,0,0,0.000000," ","integrate(1/(x^3+x^2-5*x+3)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{3} + x^{2} - 5 \, x + 3}}\,{d x}"," ",0,"integrate(1/sqrt(x^3 + x^2 - 5*x + 3), x)","F",0
239,0,0,0,0.000000," ","integrate((-1+x)/(1+x)/(x^3+x^2+x)^(1/2),x, algorithm=""maxima"")","\int \frac{x - 1}{\sqrt{x^{3} + x^{2} + x} {\left(x + 1\right)}}\,{d x}"," ",0,"integrate((x - 1)/(sqrt(x^3 + x^2 + x)*(x + 1)), x)","F",0
240,0,0,0,0.000000," ","integrate((x^2-1)/(x^2+1)/(x^3+x^2+x)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} - 1}{\sqrt{x^{3} + x^{2} + x} {\left(x^{2} + 1\right)}}\,{d x}"," ",0,"integrate((x^2 - 1)/(sqrt(x^3 + x^2 + x)*(x^2 + 1)), x)","F",0
241,0,0,0,0.000000," ","integrate((x^2-1)/(x^2+1)/(x^4+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} - 1}{\sqrt{x^{4} + 1} {\left(x^{2} + 1\right)}}\,{d x}"," ",0,"integrate((x^2 - 1)/(sqrt(x^4 + 1)*(x^2 + 1)), x)","F",0
242,0,0,0,0.000000," ","integrate((x^2+1)/(x^2-1)/(x^4+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} + 1}{\sqrt{x^{4} + 1} {\left(x^{2} - 1\right)}}\,{d x}"," ",0,"integrate((x^2 + 1)/(sqrt(x^4 + 1)*(x^2 - 1)), x)","F",0
243,0,0,0,0.000000," ","integrate((-3*x^5+2)/(x^5+1)^(1/2)/(x^5-a*x^2+1),x, algorithm=""maxima"")","-\int \frac{3 \, x^{5} - 2}{{\left(x^{5} - a x^{2} + 1\right)} \sqrt{x^{5} + 1}}\,{d x}"," ",0,"-integrate((3*x^5 - 2)/((x^5 - a*x^2 + 1)*sqrt(x^5 + 1)), x)","F",0
244,0,0,0,0.000000," ","integrate((3*x^5+2)/(x^5-1)^(1/2)/(x^5-a*x^2-1),x, algorithm=""maxima"")","\int \frac{3 \, x^{5} + 2}{{\left(x^{5} - a x^{2} - 1\right)} \sqrt{x^{5} - 1}}\,{d x}"," ",0,"integrate((3*x^5 + 2)/((x^5 - a*x^2 - 1)*sqrt(x^5 - 1)), x)","F",0
245,0,0,0,0.000000," ","integrate((3*x^5+2)/(x^5-1)^(1/2)/(a*x^5-x^2-a),x, algorithm=""maxima"")","\int \frac{3 \, x^{5} + 2}{{\left(a x^{5} - x^{2} - a\right)} \sqrt{x^{5} - 1}}\,{d x}"," ",0,"integrate((3*x^5 + 2)/((a*x^5 - x^2 - a)*sqrt(x^5 - 1)), x)","F",0
246,0,0,0,0.000000," ","integrate((3*x^5-2)/(x^5+1)^(1/2)/(a*x^5-x^2+a),x, algorithm=""maxima"")","\int \frac{3 \, x^{5} - 2}{{\left(a x^{5} - x^{2} + a\right)} \sqrt{x^{5} + 1}}\,{d x}"," ",0,"integrate((3*x^5 - 2)/((a*x^5 - x^2 + a)*sqrt(x^5 + 1)), x)","F",0
247,1,26,0,0.540724," ","integrate((2*x^4-2*x^2-1)/(x^4-x^2+1)/(x^6+1)^(1/2),x, algorithm=""maxima"")","-\frac{x^{3} + x}{\sqrt{x^{4} - x^{2} + 1} \sqrt{x^{2} + 1}}"," ",0,"-(x^3 + x)/(sqrt(x^4 - x^2 + 1)*sqrt(x^2 + 1))","A",0
248,0,0,0,0.000000," ","integrate((4*x^5-1)/(x^5-a*x+1)/(x^6+x)^(1/2),x, algorithm=""maxima"")","\int \frac{4 \, x^{5} - 1}{\sqrt{x^{6} + x} {\left(x^{5} - a x + 1\right)}}\,{d x}"," ",0,"integrate((4*x^5 - 1)/(sqrt(x^6 + x)*(x^5 - a*x + 1)), x)","F",0
249,0,0,0,0.000000," ","integrate((4*x^5-1)/(a*x^5+a-x)/(x^6+x)^(1/2),x, algorithm=""maxima"")","\int \frac{4 \, x^{5} - 1}{{\left(a x^{5} + a - x\right)} \sqrt{x^{6} + x}}\,{d x}"," ",0,"integrate((4*x^5 - 1)/((a*x^5 + a - x)*sqrt(x^6 + x)), x)","F",0
250,1,19,0,0.339782," ","integrate(x^3*(x^2-1)^(2/3),x, algorithm=""maxima"")","\frac{3}{16} \, {\left(x^{2} - 1\right)}^{\frac{8}{3}} + \frac{3}{10} \, {\left(x^{2} - 1\right)}^{\frac{5}{3}}"," ",0,"3/16*(x^2 - 1)^(8/3) + 3/10*(x^2 - 1)^(5/3)","A",0
251,1,19,0,0.342730," ","integrate(x^3*(x^2-1)^(3/4),x, algorithm=""maxima"")","\frac{2}{11} \, {\left(x^{2} - 1\right)}^{\frac{11}{4}} + \frac{2}{7} \, {\left(x^{2} - 1\right)}^{\frac{7}{4}}"," ",0,"2/11*(x^2 - 1)^(11/4) + 2/7*(x^2 - 1)^(7/4)","A",0
252,1,35,0,0.527353," ","integrate(1/x/(x^2+1)^(3/4),x, algorithm=""maxima"")","-\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
253,1,19,0,0.324157," ","integrate(x^3*(x^2+1)^(3/4),x, algorithm=""maxima"")","\frac{2}{11} \, {\left(x^{2} + 1\right)}^{\frac{11}{4}} - \frac{2}{7} \, {\left(x^{2} + 1\right)}^{\frac{7}{4}}"," ",0,"2/11*(x^2 + 1)^(11/4) - 2/7*(x^2 + 1)^(7/4)","A",0
254,1,19,0,0.573646," ","integrate(x^5*(x^3-1)^(1/3),x, algorithm=""maxima"")","\frac{1}{7} \, {\left(x^{3} - 1\right)}^{\frac{7}{3}} + \frac{1}{4} \, {\left(x^{3} - 1\right)}^{\frac{4}{3}}"," ",0,"1/7*(x^3 - 1)^(7/3) + 1/4*(x^3 - 1)^(4/3)","A",0
255,1,19,0,0.458252," ","integrate(x^5*(x^3-1)^(3/4),x, algorithm=""maxima"")","\frac{4}{33} \, {\left(x^{3} - 1\right)}^{\frac{11}{4}} + \frac{4}{21} \, {\left(x^{3} - 1\right)}^{\frac{7}{4}}"," ",0,"4/33*(x^3 - 1)^(11/4) + 4/21*(x^3 - 1)^(7/4)","A",0
256,1,28,0,0.322139," ","integrate(x^8/(x^3+1)^(1/4),x, algorithm=""maxima"")","\frac{4}{33} \, {\left(x^{3} + 1\right)}^{\frac{11}{4}} - \frac{8}{21} \, {\left(x^{3} + 1\right)}^{\frac{7}{4}} + \frac{4}{9} \, {\left(x^{3} + 1\right)}^{\frac{3}{4}}"," ",0,"4/33*(x^3 + 1)^(11/4) - 8/21*(x^3 + 1)^(7/4) + 4/9*(x^3 + 1)^(3/4)","A",0
257,1,19,0,0.421873," ","integrate(x^5*(x^3+1)^(2/3),x, algorithm=""maxima"")","\frac{1}{8} \, {\left(x^{3} + 1\right)}^{\frac{8}{3}} - \frac{1}{5} \, {\left(x^{3} + 1\right)}^{\frac{5}{3}}"," ",0,"1/8*(x^3 + 1)^(8/3) - 1/5*(x^3 + 1)^(5/3)","A",0
258,0,0,0,0.000000," ","integrate(1/x^2/(x^3-x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x^{2}}\,{d x}"," ",0,"integrate(1/((x^3 - x^2)^(1/3)*x^2), x)","F",0
259,1,19,0,0.441708," ","integrate(x^7*(x^4+1)^(2/3),x, algorithm=""maxima"")","\frac{3}{32} \, {\left(x^{4} + 1\right)}^{\frac{8}{3}} - \frac{3}{20} \, {\left(x^{4} + 1\right)}^{\frac{5}{3}}"," ",0,"3/32*(x^4 + 1)^(8/3) - 3/20*(x^4 + 1)^(5/3)","A",0
260,1,32,0,0.796754," ","integrate(1/x^5/(x^4-x)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(2 \, x^{7} - x^{4} - x\right)}}{9 \, \sqrt{x^{2} + x + 1} \sqrt{x - 1} x^{\frac{11}{2}}}"," ",0,"2/9*(2*x^7 - x^4 - x)/(sqrt(x^2 + x + 1)*sqrt(x - 1)*x^(11/2))","A",0
261,1,58,0,0.826872," ","integrate((x^3+1)/x^6/(x^4-x)^(1/4),x, algorithm=""maxima"")","\frac{4 \, {\left(x^{4} - x\right)}}{9 \, {\left(x^{2} + x + 1\right)}^{\frac{1}{4}} {\left(x - 1\right)}^{\frac{1}{4}} x^{\frac{13}{4}}} + \frac{4 \, {\left(4 \, x^{7} - x^{4} - 3 \, x\right)}}{63 \, {\left(x^{2} + x + 1\right)}^{\frac{1}{4}} {\left(x - 1\right)}^{\frac{1}{4}} x^{\frac{25}{4}}}"," ",0,"4/9*(x^4 - x)/((x^2 + x + 1)^(1/4)*(x - 1)^(1/4)*x^(13/4)) + 4/63*(4*x^7 - x^4 - 3*x)/((x^2 + x + 1)^(1/4)*(x - 1)^(1/4)*x^(25/4))","B",0
262,0,0,0,0.000000," ","integrate((x^2+1)/(x^2-1)/(x^4-x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{x^{2} + 1}{{\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} {\left(x^{2} - 1\right)}}\,{d x}"," ",0,"integrate((x^2 + 1)/((x^4 - x^2)^(1/3)*(x^2 - 1)), x)","F",0
263,0,0,0,0.000000," ","integrate(1/(x^2-1)/(x^4-x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{4} - x^{2}\right)}^{\frac{1}{4}} {\left(x^{2} - 1\right)}}\,{d x}"," ",0,"integrate(1/((x^4 - x^2)^(1/4)*(x^2 - 1)), x)","F",0
264,1,24,0,0.439007," ","integrate(1/x^4/(x^4+x^2)^(1/4),x, algorithm=""maxima"")","\frac{2 \, {\left(4 \, x^{5} + x^{3} - 3 \, x\right)}}{21 \, {\left(x^{2} + 1\right)}^{\frac{1}{4}} x^{\frac{9}{2}}}"," ",0,"2/21*(4*x^5 + x^3 - 3*x)/((x^2 + 1)^(1/4)*x^(9/2))","A",0
265,0,0,0,0.000000," ","integrate((-1+2*x)/(x^4-2*x^3+x^2-3)^(1/2),x, algorithm=""maxima"")","\int \frac{2 \, x - 1}{\sqrt{x^{4} - 2 \, x^{3} + x^{2} - 3}}\,{d x}"," ",0,"integrate((2*x - 1)/sqrt(x^4 - 2*x^3 + x^2 - 3), x)","F",0
266,0,0,0,0.000000," ","integrate((-1+2*x)/(x^4-2*x^3+x^2+4)^(1/2),x, algorithm=""maxima"")","\int \frac{2 \, x - 1}{\sqrt{x^{4} - 2 \, x^{3} + x^{2} + 4}}\,{d x}"," ",0,"integrate((2*x - 1)/sqrt(x^4 - 2*x^3 + x^2 + 4), x)","F",0
267,0,0,0,0.000000," ","integrate((-1+2*x)/(x^4-2*x^3+x^2+13)^(1/2),x, algorithm=""maxima"")","\int \frac{2 \, x - 1}{\sqrt{x^{4} - 2 \, x^{3} + x^{2} + 13}}\,{d x}"," ",0,"integrate((2*x - 1)/sqrt(x^4 - 2*x^3 + x^2 + 13), x)","F",0
268,0,0,0,0.000000," ","integrate(1/x^2/(x^4-x^3)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} x^{2}}\,{d x}"," ",0,"integrate(1/((x^4 - x^3)^(1/4)*x^2), x)","F",0
269,1,29,0,0.419958," ","integrate((x^4-1)/x^8/(2*x^4-1)^(1/4),x, algorithm=""maxima"")","-\frac{{\left(2 \, x^{4} - 1\right)}^{\frac{3}{4}}}{3 \, x^{3}} + \frac{{\left(2 \, x^{4} - 1\right)}^{\frac{7}{4}}}{7 \, x^{7}}"," ",0,"-1/3*(2*x^4 - 1)^(3/4)/x^3 + 1/7*(2*x^4 - 1)^(7/4)/x^7","A",0
270,0,0,0,0.000000," ","integrate((x^2+1)/(x^2-1)/(x^5-x^3)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{2} + 1}{{\left(x^{5} - x^{3}\right)}^{\frac{1}{4}} {\left(x^{2} - 1\right)}}\,{d x}"," ",0,"integrate((x^2 + 1)/((x^5 - x^3)^(1/4)*(x^2 - 1)), x)","F",0
271,0,0,0,0.000000," ","integrate((3*x^4+1)/(x^4-1)/(x^6-x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{3 \, x^{4} + 1}{{\left(x^{6} - x^{2}\right)}^{\frac{1}{3}} {\left(x^{4} - 1\right)}}\,{d x}"," ",0,"integrate((3*x^4 + 1)/((x^6 - x^2)^(1/3)*(x^4 - 1)), x)","F",0
272,0,0,0,0.000000," ","integrate((x^4+1)/(x^4-1)/(x^6-x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{4} + 1}{{\left(x^{6} - x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} - 1\right)}}\,{d x}"," ",0,"integrate((x^4 + 1)/((x^6 - x^2)^(1/4)*(x^4 - 1)), x)","F",0
273,1,28,0,0.585273," ","integrate(1/x^7/(x^6+x^2)^(1/3),x, algorithm=""maxima"")","\frac{3 \, {\left(3 \, x^{10} + x^{6} - 2 \, x^{2}\right)}}{40 \, {\left(x^{4} + 1\right)}^{\frac{1}{3}} {\left(x^{2}\right)}^{\frac{13}{3}}}"," ",0,"3/40*(3*x^10 + x^6 - 2*x^2)/((x^4 + 1)^(1/3)*(x^2)^(13/3))","A",0
274,1,25,0,0.364693," ","integrate((x^3-1)^(1/3)/x^8,x, algorithm=""maxima"")","\frac{{\left(x^{3} - 1\right)}^{\frac{4}{3}}}{4 \, x^{4}} - \frac{{\left(x^{3} - 1\right)}^{\frac{7}{3}}}{7 \, x^{7}}"," ",0,"1/4*(x^3 - 1)^(4/3)/x^4 - 1/7*(x^3 - 1)^(7/3)/x^7","A",0
275,0,0,0,0.000000," ","integrate((a*x^2+b)/(a*x^2-b)/(a*x^3-b*x)^(1/2),x, algorithm=""maxima"")","\int \frac{a x^{2} + b}{\sqrt{a x^{3} - b x} {\left(a x^{2} - b\right)}}\,{d x}"," ",0,"integrate((a*x^2 + b)/(sqrt(a*x^3 - b*x)*(a*x^2 - b)), x)","F",0
276,0,0,0,0.000000," ","integrate((a*x^3-2*b)/(a*x^3+b)^(1/2)/(a*x^3-c*x^2+b),x, algorithm=""maxima"")","\int \frac{a x^{3} - 2 \, b}{{\left(a x^{3} - c x^{2} + b\right)} \sqrt{a x^{3} + b}}\,{d x}"," ",0,"integrate((a*x^3 - 2*b)/((a*x^3 - c*x^2 + b)*sqrt(a*x^3 + b)), x)","F",0
277,0,0,0,0.000000," ","integrate((a*x^3-2*b)/(a*x^3+b)^(1/2)/(a*x^3+c*x^2+b),x, algorithm=""maxima"")","\int \frac{a x^{3} - 2 \, b}{{\left(a x^{3} + c x^{2} + b\right)} \sqrt{a x^{3} + b}}\,{d x}"," ",0,"integrate((a*x^3 - 2*b)/((a*x^3 + c*x^2 + b)*sqrt(a*x^3 + b)), x)","F",0
278,0,0,0,0.000000," ","integrate((x^2+1)/(x^2-1)/(x^2+2)/(x^4-3)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} + 1}{\sqrt{x^{4} - 3} {\left(x^{2} + 2\right)} {\left(x^{2} - 1\right)}}\,{d x}"," ",0,"integrate((x^2 + 1)/(sqrt(x^4 - 3)*(x^2 + 2)*(x^2 - 1)), x)","F",0
279,1,25,0,0.359492," ","integrate((x^4-4)*(x^4+1)^(3/4)/x^12,x, algorithm=""maxima"")","-\frac{5 \, {\left(x^{4} + 1\right)}^{\frac{7}{4}}}{7 \, x^{7}} + \frac{4 \, {\left(x^{4} + 1\right)}^{\frac{11}{4}}}{11 \, x^{11}}"," ",0,"-5/7*(x^4 + 1)^(7/4)/x^7 + 4/11*(x^4 + 1)^(11/4)/x^11","A",0
280,0,0,0,0.000000," ","integrate((x^4-1)^(1/2)*(x^4+1)/x^2/(x^4+x^2-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + 1\right)} \sqrt{x^{4} - 1}}{{\left(x^{4} + x^{2} - 1\right)} x^{2}}\,{d x}"," ",0,"integrate((x^4 + 1)*sqrt(x^4 - 1)/((x^4 + x^2 - 1)*x^2), x)","F",0
281,1,22,0,0.767391," ","integrate((x^4-1)*(x^4+x^2+1)/x^4/(x^4+1)^(1/2),x, algorithm=""maxima"")","\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
282,1,38,0,0.762258," ","integrate((x^3-4)*(x^4+x^3-1)/x^6/(x^3-1)^(3/4),x, algorithm=""maxima"")","-\frac{4 \, {\left(5 \, x^{7} + x^{6} - 5 \, x^{4} - 2 \, x^{3} + 1\right)}}{5 \, {\left(x^{2} + x + 1\right)}^{\frac{3}{4}} {\left(x - 1\right)}^{\frac{3}{4}} x^{5}}"," ",0,"-4/5*(5*x^7 + x^6 - 5*x^4 - 2*x^3 + 1)/((x^2 + x + 1)^(3/4)*(x - 1)^(3/4)*x^5)","A",0
283,0,0,0,0.000000," ","integrate((3*x^4+1)/(x^4-a*x-1)/(x^5-x)^(1/2),x, algorithm=""maxima"")","\int \frac{3 \, x^{4} + 1}{\sqrt{x^{5} - x} {\left(x^{4} - a x - 1\right)}}\,{d x}"," ",0,"integrate((3*x^4 + 1)/(sqrt(x^5 - x)*(x^4 - a*x - 1)), x)","F",0
284,0,0,0,0.000000," ","integrate((3*x^4+1)/(a*x^4-a-x)/(x^5-x)^(1/2),x, algorithm=""maxima"")","\int \frac{3 \, x^{4} + 1}{{\left(a x^{4} - a - x\right)} \sqrt{x^{5} - x}}\,{d x}"," ",0,"integrate((3*x^4 + 1)/((a*x^4 - a - x)*sqrt(x^5 - x)), x)","F",0
285,0,0,0,0.000000," ","integrate((x^5+4)*(x^5+x^4-1)/x^6/(x^5-1)^(3/4),x, algorithm=""maxima"")","-\frac{3}{5} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, {\left(x^{5} - 1\right)}^{\frac{1}{4}}\right)}\right) - \frac{3}{5} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, {\left(x^{5} - 1\right)}^{\frac{1}{4}}\right)}\right) - \frac{3}{10} \, \sqrt{2} \log\left(\sqrt{2} {\left(x^{5} - 1\right)}^{\frac{1}{4}} + \sqrt{x^{5} - 1} + 1\right) + \frac{3}{10} \, \sqrt{2} \log\left(-\sqrt{2} {\left(x^{5} - 1\right)}^{\frac{1}{4}} + \sqrt{x^{5} - 1} + 1\right) - \frac{4 \, {\left(x^{5} - 1\right)}^{\frac{1}{4}}}{5 \, x^{5}} + \int \frac{{\left(x^{6} + x^{5} + 3 \, x + 4\right)} {\left(x^{4} + x^{3} + x^{2} + x + 1\right)}^{\frac{1}{4}} {\left(x - 1\right)}^{\frac{1}{4}}}{x^{7} - x^{2}}\,{d x}"," ",0,"-3/5*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*(x^5 - 1)^(1/4))) - 3/5*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*(x^5 - 1)^(1/4))) - 3/10*sqrt(2)*log(sqrt(2)*(x^5 - 1)^(1/4) + sqrt(x^5 - 1) + 1) + 3/10*sqrt(2)*log(-sqrt(2)*(x^5 - 1)^(1/4) + sqrt(x^5 - 1) + 1) - 4/5*(x^5 - 1)^(1/4)/x^5 + integrate((x^6 + x^5 + 3*x + 4)*(x^4 + x^3 + x^2 + x + 1)^(1/4)*(x - 1)^(1/4)/(x^7 - x^2), x)","F",0
286,0,0,0,0.000000," ","integrate((x^5-4)*(x^5+x^4+1)/x^6/(x^5+1)^(3/4),x, algorithm=""maxima"")","\frac{4 \, {\left(x^{5} + 1\right)}^{\frac{1}{4}}}{5 \, x^{5}} - \frac{6}{5} \, \arctan\left({\left(x^{5} + 1\right)}^{\frac{1}{4}}\right) + \int \frac{{\left(x^{6} + x^{5} - 3 \, x - 4\right)} {\left(x^{4} - x^{3} + x^{2} - x + 1\right)}^{\frac{1}{4}} {\left(x + 1\right)}^{\frac{1}{4}}}{x^{7} + x^{2}}\,{d x} - \frac{3}{5} \, \log\left({\left(x^{5} + 1\right)}^{\frac{1}{4}} + 1\right) + \frac{3}{5} \, \log\left({\left(x^{5} + 1\right)}^{\frac{1}{4}} - 1\right)"," ",0,"4/5*(x^5 + 1)^(1/4)/x^5 - 6/5*arctan((x^5 + 1)^(1/4)) + integrate((x^6 + x^5 - 3*x - 4)*(x^4 - x^3 + x^2 - x + 1)^(1/4)*(x + 1)^(1/4)/(x^7 + x^2), x) - 3/5*log((x^5 + 1)^(1/4) + 1) + 3/5*log((x^5 + 1)^(1/4) - 1)","F",0
287,1,25,0,0.595708," ","integrate((x^6-1)^(1/2)/x^16,x, algorithm=""maxima"")","\frac{{\left(x^{6} - 1\right)}^{\frac{3}{2}}}{9 \, x^{9}} - \frac{{\left(x^{6} - 1\right)}^{\frac{5}{2}}}{15 \, x^{15}}"," ",0,"1/9*(x^6 - 1)^(3/2)/x^9 - 1/15*(x^6 - 1)^(5/2)/x^15","A",0
288,0,0,0,0.000000," ","integrate((2*x^4-2*x^2-1)/(2*x^4+1)/(x^6+1)^(1/2),x, algorithm=""maxima"")","\int \frac{2 \, x^{4} - 2 \, x^{2} - 1}{\sqrt{x^{6} + 1} {\left(2 \, x^{4} + 1\right)}}\,{d x}"," ",0,"integrate((2*x^4 - 2*x^2 - 1)/(sqrt(x^6 + 1)*(2*x^4 + 1)), x)","F",0
289,0,0,0,0.000000," ","integrate((4*x^5+1)/(x^5-a*x-1)/(x^6-x)^(1/2),x, algorithm=""maxima"")","\int \frac{4 \, x^{5} + 1}{\sqrt{x^{6} - x} {\left(x^{5} - a x - 1\right)}}\,{d x}"," ",0,"integrate((4*x^5 + 1)/(sqrt(x^6 - x)*(x^5 - a*x - 1)), x)","F",0
290,0,0,0,0.000000," ","integrate((4*x^5+1)/(a*x^5-a-x)/(x^6-x)^(1/2),x, algorithm=""maxima"")","\int \frac{4 \, x^{5} + 1}{{\left(a x^{5} - a - x\right)} \sqrt{x^{6} - x}}\,{d x}"," ",0,"integrate((4*x^5 + 1)/((a*x^5 - a - x)*sqrt(x^6 - x)), x)","F",0
291,1,53,0,0.709348," ","integrate((x^6+2)*(x^6-x^4-1)/x^6/(x^6-1)^(3/4),x, algorithm=""maxima"")","\frac{2 \, {\left(x^{12} - 5 \, x^{10} - 2 \, x^{6} + 5 \, x^{4} + 1\right)}}{5 \, {\left(x^{2} + x + 1\right)}^{\frac{3}{4}} {\left(x^{2} - x + 1\right)}^{\frac{3}{4}} {\left(x + 1\right)}^{\frac{3}{4}} {\left(x - 1\right)}^{\frac{3}{4}} x^{5}}"," ",0,"2/5*(x^12 - 5*x^10 - 2*x^6 + 5*x^4 + 1)/((x^2 + x + 1)^(3/4)*(x^2 - x + 1)^(3/4)*(x + 1)^(3/4)*(x - 1)^(3/4)*x^5)","B",0
292,1,44,0,0.575844," ","integrate((x^6-2)*(x^6-x^4+1)/x^6/(x^6+1)^(3/4),x, algorithm=""maxima"")","\frac{2 \, {\left(x^{12} - 5 \, x^{10} + 2 \, x^{6} - 5 \, x^{4} + 1\right)}}{5 \, {\left(x^{4} - x^{2} + 1\right)}^{\frac{3}{4}} {\left(x^{2} + 1\right)}^{\frac{3}{4}} x^{5}}"," ",0,"2/5*(x^12 - 5*x^10 + 2*x^6 - 5*x^4 + 1)/((x^4 - x^2 + 1)^(3/4)*(x^2 + 1)^(3/4)*x^5)","A",0
293,0,0,0,0.000000," ","integrate((x^6-1)^(1/2)*(2*x^6+1)/x^2/(x^6+x^2-1),x, algorithm=""maxima"")","\int \frac{{\left(2 \, x^{6} + 1\right)} \sqrt{x^{6} - 1}}{{\left(x^{6} + x^{2} - 1\right)} x^{2}}\,{d x}"," ",0,"integrate((2*x^6 + 1)*sqrt(x^6 - 1)/((x^6 + x^2 - 1)*x^2), x)","F",0
294,1,62,0,0.670884," ","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=""maxima"")","\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
295,0,0,0,0.000000," ","integrate(x^4*(4*x^5+9)/(x^6+x)^(1/2)/(x^9-a*x^5-a),x, algorithm=""maxima"")","\int \frac{{\left(4 \, x^{5} + 9\right)} x^{4}}{{\left(x^{9} - a x^{5} - a\right)} \sqrt{x^{6} + x}}\,{d x}"," ",0,"integrate((4*x^5 + 9)*x^4/((x^9 - a*x^5 - a)*sqrt(x^6 + x)), x)","F",0
296,0,0,0,0.000000," ","integrate(x^4*(5*x^4+9)/(x^5+x)^(1/2)/(a*x^9-x^4-1),x, algorithm=""maxima"")","\int \frac{{\left(5 \, x^{4} + 9\right)} x^{4}}{{\left(a x^{9} - x^{4} - 1\right)} \sqrt{x^{5} + x}}\,{d x}"," ",0,"integrate((5*x^4 + 9)*x^4/((a*x^9 - x^4 - 1)*sqrt(x^5 + x)), x)","F",0
297,0,0,0,0.000000," ","integrate(x^4*(4*x^5+9)/(x^6+x)^(1/2)/(a*x^9-x^5-1),x, algorithm=""maxima"")","\int \frac{{\left(4 \, x^{5} + 9\right)} x^{4}}{{\left(a x^{9} - x^{5} - 1\right)} \sqrt{x^{6} + x}}\,{d x}"," ",0,"integrate((4*x^5 + 9)*x^4/((a*x^9 - x^5 - 1)*sqrt(x^6 + x)), x)","F",0
298,1,23,0,0.322277," ","integrate(x^5*(-2*x^3+1)^(1/2),x, algorithm=""maxima"")","\frac{1}{30} \, {\left(-2 \, x^{3} + 1\right)}^{\frac{5}{2}} - \frac{1}{18} \, {\left(-2 \, x^{3} + 1\right)}^{\frac{3}{2}}"," ",0,"1/30*(-2*x^3 + 1)^(5/2) - 1/18*(-2*x^3 + 1)^(3/2)","A",0
299,0,0,0,0.000000," ","integrate((2+x)/(-1+x)/(x^3+3*x-1)^(1/2),x, algorithm=""maxima"")","\int \frac{x + 2}{\sqrt{x^{3} + 3 \, x - 1} {\left(x - 1\right)}}\,{d x}"," ",0,"integrate((x + 2)/(sqrt(x^3 + 3*x - 1)*(x - 1)), x)","F",0
300,0,0,0,0.000000," ","integrate((-1+2*x)/(1+x)/(x^3-x^2-x)^(1/2),x, algorithm=""maxima"")","\int \frac{2 \, x - 1}{\sqrt{x^{3} - x^{2} - x} {\left(x + 1\right)}}\,{d x}"," ",0,"integrate((2*x - 1)/(sqrt(x^3 - x^2 - x)*(x + 1)), x)","F",0
301,1,30,0,0.442533," ","integrate(x^5/(a*x^3+b)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(a x^{3} + b\right)}^{\frac{3}{2}}}{9 \, a^{2}} - \frac{2 \, \sqrt{a x^{3} + b} b}{3 \, a^{2}}"," ",0,"2/9*(a*x^3 + b)^(3/2)/a^2 - 2/3*sqrt(a*x^3 + b)*b/a^2","A",0
302,1,29,0,0.650461," ","integrate(1/x^4/(x^4-x^2)^(1/4),x, algorithm=""maxima"")","\frac{2 \, {\left(4 \, x^{5} - x^{3} - 3 \, x\right)}}{21 \, {\left(x + 1\right)}^{\frac{1}{4}} {\left(x - 1\right)}^{\frac{1}{4}} x^{\frac{9}{2}}}"," ",0,"2/21*(4*x^5 - x^3 - 3*x)/((x + 1)^(1/4)*(x - 1)^(1/4)*x^(9/2))","A",0
303,1,37,0,0.802417," ","integrate(1/x/(a*x^4+b)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(\frac{\sqrt{a x^{4} + b} - \sqrt{b}}{\sqrt{a x^{4} + b} + \sqrt{b}}\right)}{4 \, \sqrt{b}}"," ",0,"1/4*log((sqrt(a*x^4 + b) - sqrt(b))/(sqrt(a*x^4 + b) + sqrt(b)))/sqrt(b)","A",0
304,1,37,0,0.475083," ","integrate(1/x^7/(x^6-x^2)^(1/3),x, algorithm=""maxima"")","\frac{3 \, {\left(3 \, x^{10} - x^{6} - 2 \, x^{2}\right)}}{40 \, {\left(x^{2} + 1\right)}^{\frac{1}{3}} {\left(x^{2} - 1\right)}^{\frac{1}{3}} {\left(x^{2}\right)}^{\frac{13}{3}}}"," ",0,"3/40*(3*x^10 - x^6 - 2*x^2)/((x^2 + 1)^(1/3)*(x^2 - 1)^(1/3)*(x^2)^(13/3))","A",0
305,1,20,0,0.497108," ","integrate((x^3-1)^(1/2)/x,x, algorithm=""maxima"")","\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
306,1,25,0,0.614700," ","integrate((x^3-1)*(x^3+1)^(1/3)/x^8,x, algorithm=""maxima"")","-\frac{{\left(x^{3} + 1\right)}^{\frac{4}{3}}}{2 \, x^{4}} + \frac{{\left(x^{3} + 1\right)}^{\frac{7}{3}}}{7 \, x^{7}}"," ",0,"-1/2*(x^3 + 1)^(4/3)/x^4 + 1/7*(x^3 + 1)^(7/3)/x^7","A",0
307,1,34,0,0.465880," ","integrate((x^3+1)^(1/2)/x,x, algorithm=""maxima"")","\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
308,1,25,0,0.375437," ","integrate((x^3-1)^(1/3)*(x^3+1)/x^8,x, algorithm=""maxima"")","\frac{{\left(x^{3} - 1\right)}^{\frac{4}{3}}}{2 \, x^{4}} - \frac{{\left(x^{3} - 1\right)}^{\frac{7}{3}}}{7 \, x^{7}}"," ",0,"1/2*(x^3 - 1)^(4/3)/x^4 - 1/7*(x^3 - 1)^(7/3)/x^7","A",0
309,1,25,0,0.321954," ","integrate((x^3-1)^(2/3)*(x^3+2)/x^9,x, algorithm=""maxima"")","\frac{3 \, {\left(x^{3} - 1\right)}^{\frac{5}{3}}}{5 \, x^{5}} - \frac{{\left(x^{3} - 1\right)}^{\frac{8}{3}}}{4 \, x^{8}}"," ",0,"3/5*(x^3 - 1)^(5/3)/x^5 - 1/4*(x^3 - 1)^(8/3)/x^8","A",0
310,1,25,0,0.645669," ","integrate((x^3+1)^(2/3)*(x^3+2)/x^9,x, algorithm=""maxima"")","\frac{{\left(x^{3} + 1\right)}^{\frac{5}{3}}}{5 \, x^{5}} - \frac{{\left(x^{3} + 1\right)}^{\frac{8}{3}}}{4 \, x^{8}}"," ",0,"1/5*(x^3 + 1)^(5/3)/x^5 - 1/4*(x^3 + 1)^(8/3)/x^8","A",0
311,1,31,0,0.710108," ","integrate(1/x^6/(x^3+x)^(1/3),x, algorithm=""maxima"")","-\frac{3 \, {\left(9 \, x^{7} + 3 \, x^{5} - x^{3} + 5 \, x\right)}}{80 \, {\left(x^{2} + 1\right)}^{\frac{1}{3}} x^{\frac{19}{3}}}"," ",0,"-3/80*(9*x^7 + 3*x^5 - x^3 + 5*x)/((x^2 + 1)^(1/3)*x^(19/3))","A",0
312,0,0,0,0.000000," ","integrate((2*x^2-x-2)/(-1+x)/x/(x^3-x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{2 \, x^{2} - x - 2}{{\left(x^{3} - x^{2}\right)}^{\frac{1}{4}} {\left(x - 1\right)} x}\,{d x}"," ",0,"integrate((2*x^2 - x - 2)/((x^3 - x^2)^(1/4)*(x - 1)*x), x)","F",0
313,0,0,0,0.000000," ","integrate((2+x)/(-1+x)/(x^3-x^2-x)^(1/2),x, algorithm=""maxima"")","\int \frac{x + 2}{\sqrt{x^{3} - x^{2} - x} {\left(x - 1\right)}}\,{d x}"," ",0,"integrate((x + 2)/(sqrt(x^3 - x^2 - x)*(x - 1)), x)","F",0
314,0,0,0,0.000000," ","integrate((x^2+3)*(x^3+x^2+1)/x^6/(x^3+x)^(1/4),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} + x^{2} + 1\right)} {\left(x^{2} + 3\right)}}{{\left(x^{3} + x\right)}^{\frac{1}{4}} x^{6}}\,{d x}"," ",0,"integrate((x^3 + x^2 + 1)*(x^2 + 3)/((x^3 + x)^(1/4)*x^6), x)","F",0
315,1,25,0,0.354778," ","integrate((x^3-1)^(1/3)*(2*x^3-1)/x^11,x, algorithm=""maxima"")","\frac{{\left(x^{3} - 1\right)}^{\frac{4}{3}}}{4 \, x^{4}} - \frac{{\left(x^{3} - 1\right)}^{\frac{10}{3}}}{10 \, x^{10}}"," ",0,"1/4*(x^3 - 1)^(4/3)/x^4 - 1/10*(x^3 - 1)^(10/3)/x^10","A",0
316,1,25,0,0.568532," ","integrate((x^3-1)^(1/3)*(2*x^3-1)/x^8,x, algorithm=""maxima"")","\frac{{\left(x^{3} - 1\right)}^{\frac{4}{3}}}{4 \, x^{4}} + \frac{{\left(x^{3} - 1\right)}^{\frac{7}{3}}}{7 \, x^{7}}"," ",0,"1/4*(x^3 - 1)^(4/3)/x^4 + 1/7*(x^3 - 1)^(7/3)/x^7","A",0
317,0,0,0,0.000000," ","integrate((x^2+3)*(2*x^3-x^2-1)/x^6/(x^3+x)^(1/4),x, algorithm=""maxima"")","\int \frac{{\left(2 \, x^{3} - x^{2} - 1\right)} {\left(x^{2} + 3\right)}}{{\left(x^{3} + x\right)}^{\frac{1}{4}} x^{6}}\,{d x}"," ",0,"integrate((2*x^3 - x^2 - 1)*(x^2 + 3)/((x^3 + x)^(1/4)*x^6), x)","F",0
318,0,0,0,0.000000," ","integrate((a*x^3+2*b)/(a*x^3-b)^(1/2)/(a*x^3+x^2-b),x, algorithm=""maxima"")","\int \frac{a x^{3} + 2 \, b}{{\left(a x^{3} + x^{2} - b\right)} \sqrt{a x^{3} - b}}\,{d x}"," ",0,"integrate((a*x^3 + 2*b)/((a*x^3 + x^2 - b)*sqrt(a*x^3 - b)), x)","F",0
319,1,25,0,0.316729," ","integrate((x^4-4)*(x^4-1)^(3/4)/x^12,x, algorithm=""maxima"")","-\frac{3 \, {\left(x^{4} - 1\right)}^{\frac{7}{4}}}{7 \, x^{7}} + \frac{4 \, {\left(x^{4} - 1\right)}^{\frac{11}{4}}}{11 \, x^{11}}"," ",0,"-3/7*(x^4 - 1)^(7/4)/x^7 + 4/11*(x^4 - 1)^(11/4)/x^11","A",0
320,1,34,0,0.424540," ","integrate((x^4+1)^(1/2)/x,x, algorithm=""maxima"")","\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
321,1,30,0,0.574000," ","integrate((x^4-x)^(1/4)/x^8,x, algorithm=""maxima"")","\frac{4 \, {\left(4 \, x^{7} + x^{4} - 5 \, x\right)} {\left(x^{2} + x + 1\right)}^{\frac{1}{4}} {\left(x - 1\right)}^{\frac{1}{4}}}{135 \, x^{\frac{31}{4}}}"," ",0,"4/135*(4*x^7 + x^4 - 5*x)*(x^2 + x + 1)^(1/4)*(x - 1)^(1/4)/x^(31/4)","A",0
322,1,34,0,0.777369," ","integrate((x^4+x)^(1/4)/x^8,x, algorithm=""maxima"")","\frac{4 \, {\left(4 \, x^{7} - x^{4} - 5 \, x\right)} {\left(x^{2} - x + 1\right)}^{\frac{1}{4}} {\left(x + 1\right)}^{\frac{1}{4}}}{135 \, x^{\frac{31}{4}}}"," ",0,"4/135*(4*x^7 - x^4 - 5*x)*(x^2 - x + 1)^(1/4)*(x + 1)^(1/4)/x^(31/4)","A",0
323,0,0,0,0.000000," ","integrate((x^2+2)/(x^2-1)/(x^4-x^2-1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} + 2}{\sqrt{x^{4} - x^{2} - 1} {\left(x^{2} - 1\right)}}\,{d x}"," ",0,"integrate((x^2 + 2)/(sqrt(x^4 - x^2 - 1)*(x^2 - 1)), x)","F",0
324,1,42,0,0.766303," ","integrate((x^3+4)*(x^4-x^3-1)/x^6/(x^3+1)^(3/4),x, algorithm=""maxima"")","-\frac{4 \, {\left(5 \, x^{7} - x^{6} + 5 \, x^{4} - 2 \, x^{3} - 1\right)}}{5 \, {\left(x^{2} - x + 1\right)}^{\frac{3}{4}} {\left(x + 1\right)}^{\frac{3}{4}} x^{5}}"," ",0,"-4/5*(5*x^7 - x^6 + 5*x^4 - 2*x^3 - 1)/((x^2 - x + 1)^(3/4)*(x + 1)^(3/4)*x^5)","A",0
325,1,42,0,0.607667," ","integrate((x^3+4)*(x^4-x^3-1)/x^8/(x^3+1)^(1/4),x, algorithm=""maxima"")","-\frac{4 \, {\left(7 \, x^{7} - 3 \, x^{6} + 7 \, x^{4} - 6 \, x^{3} - 3\right)}}{21 \, {\left(x^{2} - x + 1\right)}^{\frac{1}{4}} {\left(x + 1\right)}^{\frac{1}{4}} x^{7}}"," ",0,"-4/21*(7*x^7 - 3*x^6 + 7*x^4 - 6*x^3 - 3)/((x^2 - x + 1)^(1/4)*(x + 1)^(1/4)*x^7)","A",0
326,1,40,0,0.662148," ","integrate((x^3-4)*(x^4-x^3+1)/x^8/(x^3-1)^(1/4),x, algorithm=""maxima"")","-\frac{4 \, {\left(7 \, x^{7} - 3 \, x^{6} - 7 \, x^{4} + 6 \, x^{3} - 3\right)}}{21 \, {\left(x^{2} + x + 1\right)}^{\frac{1}{4}} {\left(x - 1\right)}^{\frac{1}{4}} x^{7}}"," ",0,"-4/21*(7*x^7 - 3*x^6 - 7*x^4 + 6*x^3 - 3)/((x^2 + x + 1)^(1/4)*(x - 1)^(1/4)*x^7)","A",0
327,0,0,0,0.000000," ","integrate(x/(x^4+x^3)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{x^{4} + x^{3}}}\,{d x}"," ",0,"integrate(x/sqrt(x^4 + x^3), x)","F",0
328,0,0,0,0.000000," ","integrate(1/x/(1+x)/(x^4+x^3)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(x + 1\right)} x}\,{d x}"," ",0,"integrate(1/((x^4 + x^3)^(1/4)*(x + 1)*x), x)","F",0
329,1,42,0,0.615315," ","integrate((x^3+4)*(2*x^4-x^3-1)/x^6/(x^3+1)^(3/4),x, algorithm=""maxima"")","-\frac{4 \, {\left(10 \, x^{7} - x^{6} + 10 \, x^{4} - 2 \, x^{3} - 1\right)}}{5 \, {\left(x^{2} - x + 1\right)}^{\frac{3}{4}} {\left(x + 1\right)}^{\frac{3}{4}} x^{5}}"," ",0,"-4/5*(10*x^7 - x^6 + 10*x^4 - 2*x^3 - 1)/((x^2 - x + 1)^(3/4)*(x + 1)^(3/4)*x^5)","A",0
330,0,0,0,0.000000," ","integrate((x^4-3)*(x^4-x^3+1)/x^6/(x^5+x)^(1/4),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - x^{3} + 1\right)} {\left(x^{4} - 3\right)}}{{\left(x^{5} + x\right)}^{\frac{1}{4}} x^{6}}\,{d x}"," ",0,"integrate((x^4 - x^3 + 1)*(x^4 - 3)/((x^5 + x)^(1/4)*x^6), x)","F",0
331,1,20,0,0.506110," ","integrate((x^6-1)^(1/2)/x,x, algorithm=""maxima"")","\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
332,1,34,0,0.553228," ","integrate((x^6-1)/x/(x^6+1)^(1/2),x, algorithm=""maxima"")","\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
333,1,34,0,0.369325," ","integrate((x^6+1)^(1/2)/x,x, algorithm=""maxima"")","\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
334,1,25,0,0.435661," ","integrate((x^6-1)^(1/3)*(x^6+1)/x^15,x, algorithm=""maxima"")","\frac{{\left(x^{6} - 1\right)}^{\frac{4}{3}}}{4 \, x^{8}} - \frac{{\left(x^{6} - 1\right)}^{\frac{7}{3}}}{14 \, x^{14}}"," ",0,"1/4*(x^6 - 1)^(4/3)/x^8 - 1/14*(x^6 - 1)^(7/3)/x^14","A",0
335,0,0,0,0.000000," ","integrate((x^5-x^3+1)*(2*x^5-3)/x^6/(x^6+x)^(1/4),x, algorithm=""maxima"")","\int \frac{{\left(2 \, x^{5} - 3\right)} {\left(x^{5} - x^{3} + 1\right)}}{{\left(x^{6} + x\right)}^{\frac{1}{4}} x^{6}}\,{d x}"," ",0,"integrate((2*x^5 - 3)*(x^5 - x^3 + 1)/((x^6 + x)^(1/4)*x^6), x)","F",0
336,1,46,0,0.670227," ","integrate((x^6-2)*(x^6-x^4+1)/x^8/(x^6+1)^(1/4),x, algorithm=""maxima"")","\frac{2 \, {\left(3 \, x^{12} - 7 \, x^{10} + 6 \, x^{6} - 7 \, x^{4} + 3\right)}}{21 \, {\left(x^{4} - x^{2} + 1\right)}^{\frac{1}{4}} {\left(x^{2} + 1\right)}^{\frac{1}{4}} x^{7}}"," ",0,"2/21*(3*x^12 - 7*x^10 + 6*x^6 - 7*x^4 + 3)/((x^4 - x^2 + 1)^(1/4)*(x^2 + 1)^(1/4)*x^7)","A",0
337,1,25,0,0.564147," ","integrate((x^6-1)^(1/3)*(2*x^6-1)/x^15,x, algorithm=""maxima"")","\frac{{\left(x^{6} - 1\right)}^{\frac{4}{3}}}{8 \, x^{8}} + \frac{{\left(x^{6} - 1\right)}^{\frac{7}{3}}}{14 \, x^{14}}"," ",0,"1/8*(x^6 - 1)^(4/3)/x^8 + 1/14*(x^6 - 1)^(7/3)/x^14","A",0
338,0,0,0,0.000000," ","integrate(x^2*(x^3-2)*(x^3+1)^(1/2)/(x^9+3*x^3+1),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{3} + 1} {\left(x^{3} - 2\right)} x^{2}}{x^{9} + 3 \, x^{3} + 1}\,{d x}"," ",0,"integrate(sqrt(x^3 + 1)*(x^3 - 2)*x^2/(x^9 + 3*x^3 + 1), x)","F",0
339,0,0,0,0.000000," ","integrate(x^4*(4*x^5-9)/(x^6-x)^(1/2)/(x^9-a*x^5+a),x, algorithm=""maxima"")","\int \frac{{\left(4 \, x^{5} - 9\right)} x^{4}}{{\left(x^{9} - a x^{5} + a\right)} \sqrt{x^{6} - x}}\,{d x}"," ",0,"integrate((4*x^5 - 9)*x^4/((x^9 - a*x^5 + a)*sqrt(x^6 - x)), x)","F",0
340,0,0,0,0.000000," ","integrate(x^4*(5*x^4-9)/(x^5-x)^(1/2)/(a*x^9-x^4+1),x, algorithm=""maxima"")","\int \frac{{\left(5 \, x^{4} - 9\right)} x^{4}}{{\left(a x^{9} - x^{4} + 1\right)} \sqrt{x^{5} - x}}\,{d x}"," ",0,"integrate((5*x^4 - 9)*x^4/((a*x^9 - x^4 + 1)*sqrt(x^5 - x)), x)","F",0
341,0,0,0,0.000000," ","integrate(x^4*(4*x^5-9)/(x^6-x)^(1/2)/(a*x^9-x^5+1),x, algorithm=""maxima"")","\int \frac{{\left(4 \, x^{5} - 9\right)} x^{4}}{{\left(a x^{9} - x^{5} + 1\right)} \sqrt{x^{6} - x}}\,{d x}"," ",0,"integrate((4*x^5 - 9)*x^4/((a*x^9 - x^5 + 1)*sqrt(x^6 - x)), x)","F",0
342,1,37,0,0.472939," ","integrate((x^12+1)/x^16/(x^6-1)^(1/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{x^{6} - 1}}{3 \, x^{3}} - \frac{2 \, {\left(x^{6} - 1\right)}^{\frac{3}{2}}}{9 \, x^{9}} + \frac{{\left(x^{6} - 1\right)}^{\frac{5}{2}}}{15 \, x^{15}}"," ",0,"2/3*sqrt(x^6 - 1)/x^3 - 2/9*(x^6 - 1)^(3/2)/x^9 + 1/15*(x^6 - 1)^(5/2)/x^15","A",0
343,0,0,0,0.000000," ","integrate((-1+x)/(-3+x)/(1+x)/(x^2-2*x-2)^(1/4),x, algorithm=""maxima"")","\int \frac{x - 1}{{\left(x^{2} - 2 \, x - 2\right)}^{\frac{1}{4}} {\left(x + 1\right)} {\left(x - 3\right)}}\,{d x}"," ",0,"integrate((x - 1)/((x^2 - 2*x - 2)^(1/4)*(x + 1)*(x - 3)), x)","F",0
344,0,0,0,0.000000," ","integrate(1/(-1+x)/(x^2-2*x+2)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{2} - 2 \, x + 2\right)}^{\frac{1}{4}} {\left(x - 1\right)}}\,{d x}"," ",0,"integrate(1/((x^2 - 2*x + 2)^(1/4)*(x - 1)), x)","F",0
345,0,0,0,0.000000," ","integrate(1/(1+x)/(x^2+2*x+2)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{2} + 2 \, x + 2\right)}^{\frac{1}{4}} {\left(x + 1\right)}}\,{d x}"," ",0,"integrate(1/((x^2 + 2*x + 2)^(1/4)*(x + 1)), x)","F",0
346,1,35,0,0.520118," ","integrate(1/x/(x^3+1)^(1/4),x, algorithm=""maxima"")","\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
347,1,21,0,0.775752," ","integrate(1/x/(a*x^3-b)^(1/2),x, algorithm=""maxima"")","\frac{2 \, \arctan\left(\frac{\sqrt{a x^{3} - b}}{\sqrt{b}}\right)}{3 \, \sqrt{b}}"," ",0,"2/3*arctan(sqrt(a*x^3 - b)/sqrt(b))/sqrt(b)","A",0
348,1,34,0,0.341442," ","integrate(x^5/(a*x^3-b)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(a x^{3} - b\right)}^{\frac{3}{2}}}{9 \, a^{2}} + \frac{2 \, \sqrt{a x^{3} - b} b}{3 \, a^{2}}"," ",0,"2/9*(a*x^3 - b)^(3/2)/a^2 + 2/3*sqrt(a*x^3 - b)*b/a^2","A",0
349,0,0,0,0.000000," ","integrate((1+x)/(-1+x)/(x^4-x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x + 1}{\sqrt{x^{4} - x^{2} + 1} {\left(x - 1\right)}}\,{d x}"," ",0,"integrate((x + 1)/(sqrt(x^4 - x^2 + 1)*(x - 1)), x)","F",0
350,1,56,0,0.514966," ","integrate((x^4-1)*(x^4+1)/(x^4+x^2+1)^(5/2),x, algorithm=""maxima"")","-\frac{{\left(3 \, x^{5} + 2 \, x^{3} + 3 \, x\right)} \sqrt{x^{2} + x + 1} \sqrt{x^{2} - x + 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^2 + x + 1)*sqrt(x^2 - x + 1)/(x^8 + 2*x^6 + 3*x^4 + 2*x^2 + 1)","B",0
351,0,0,0,0.000000," ","integrate(x^2*(x^3-4)/(x^3-1)^(3/4)/(x^4-x^3+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} - 4\right)} x^{2}}{{\left(x^{4} - x^{3} + 1\right)} {\left(x^{3} - 1\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((x^3 - 4)*x^2/((x^4 - x^3 + 1)*(x^3 - 1)^(3/4)), x)","F",0
352,0,0,0,0.000000," ","integrate((1+2*x)/(x^4+2*x^3-3*x^2-4*x-4)^(1/2),x, algorithm=""maxima"")","\int \frac{2 \, x + 1}{\sqrt{x^{4} + 2 \, x^{3} - 3 \, x^{2} - 4 \, x - 4}}\,{d x}"," ",0,"integrate((2*x + 1)/sqrt(x^4 + 2*x^3 - 3*x^2 - 4*x - 4), x)","F",0
353,1,21,0,0.700537," ","integrate(1/x/(a*x^4-b)^(1/2),x, algorithm=""maxima"")","\frac{\arctan\left(\frac{\sqrt{a x^{4} - b}}{\sqrt{b}}\right)}{2 \, \sqrt{b}}"," ",0,"1/2*arctan(sqrt(a*x^4 - b)/sqrt(b))/sqrt(b)","A",0
354,0,0,0,0.000000," ","integrate((2*x^6-1)/(x^6+1)/(x^6-2*x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{2 \, x^{6} - 1}{\sqrt{x^{6} - 2 \, x^{2} + 1} {\left(x^{6} + 1\right)}}\,{d x}"," ",0,"integrate((2*x^6 - 1)/(sqrt(x^6 - 2*x^2 + 1)*(x^6 + 1)), x)","F",0
355,0,0,0,0.000000," ","integrate((2*x^6+1)/(x^6-1)/(x^6-2*x^2-1)^(1/2),x, algorithm=""maxima"")","\int \frac{2 \, x^{6} + 1}{\sqrt{x^{6} - 2 \, x^{2} - 1} {\left(x^{6} - 1\right)}}\,{d x}"," ",0,"integrate((2*x^6 + 1)/(sqrt(x^6 - 2*x^2 - 1)*(x^6 - 1)), x)","F",0
356,1,28,0,0.542684," ","integrate(x^8*(x^3-1)^(1/3),x, algorithm=""maxima"")","\frac{1}{10} \, {\left(x^{3} - 1\right)}^{\frac{10}{3}} + \frac{2}{7} \, {\left(x^{3} - 1\right)}^{\frac{7}{3}} + \frac{1}{4} \, {\left(x^{3} - 1\right)}^{\frac{4}{3}}"," ",0,"1/10*(x^3 - 1)^(10/3) + 2/7*(x^3 - 1)^(7/3) + 1/4*(x^3 - 1)^(4/3)","A",0
357,1,28,0,0.395297," ","integrate(x^8*(x^3+1)^(1/4),x, algorithm=""maxima"")","\frac{4}{39} \, {\left(x^{3} + 1\right)}^{\frac{13}{4}} - \frac{8}{27} \, {\left(x^{3} + 1\right)}^{\frac{9}{4}} + \frac{4}{15} \, {\left(x^{3} + 1\right)}^{\frac{5}{4}}"," ",0,"4/39*(x^3 + 1)^(13/4) - 8/27*(x^3 + 1)^(9/4) + 4/15*(x^3 + 1)^(5/4)","A",0
358,1,34,0,0.629440," ","integrate(1/x^6/(x^3-x)^(1/3),x, algorithm=""maxima"")","\frac{3 \, {\left(9 \, x^{7} - 3 \, x^{5} - x^{3} - 5 \, x\right)}}{80 \, {\left(x + 1\right)}^{\frac{1}{3}} {\left(x - 1\right)}^{\frac{1}{3}} x^{\frac{19}{3}}}"," ",0,"3/80*(9*x^7 - 3*x^5 - x^3 - 5*x)/((x + 1)^(1/3)*(x - 1)^(1/3)*x^(19/3))","A",0
359,0,0,0,0.000000," ","integrate(1/x^3/(x^3-x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x^{3}}\,{d x}"," ",0,"integrate(1/((x^3 - x^2)^(1/3)*x^3), x)","F",0
360,0,0,0,0.000000," ","integrate((x^2-3)*(x^3-x^2+1)/x^6/(x^3-x)^(1/4),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} - x^{2} + 1\right)} {\left(x^{2} - 3\right)}}{{\left(x^{3} - x\right)}^{\frac{1}{4}} x^{6}}\,{d x}"," ",0,"integrate((x^3 - x^2 + 1)*(x^2 - 3)/((x^3 - x)^(1/4)*x^6), x)","F",0
361,0,0,0,0.000000," ","integrate((x^2+1)/(x^2-1)/(x^3-x^2-x)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} + 1}{\sqrt{x^{3} - x^{2} - x} {\left(x^{2} - 1\right)}}\,{d x}"," ",0,"integrate((x^2 + 1)/(sqrt(x^3 - x^2 - x)*(x^2 - 1)), x)","F",0
362,0,0,0,0.000000," ","integrate((x^3-1)/x^3/(x^3+1)/(x^4+x)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{3} - 1}{{\left(x^{4} + x\right)}^{\frac{1}{4}} {\left(x^{3} + 1\right)} x^{3}}\,{d x}"," ",0,"integrate((x^3 - 1)/((x^4 + x)^(1/4)*(x^3 + 1)*x^3), x)","F",0
363,1,27,0,0.716044," ","integrate((x^4-x^2)^(1/4)/x^6,x, algorithm=""maxima"")","\frac{2 \, {\left(4 \, x^{5} + x^{3} - 5 \, x\right)} {\left(x + 1\right)}^{\frac{1}{4}} {\left(x - 1\right)}^{\frac{1}{4}}}{45 \, x^{\frac{11}{2}}}"," ",0,"2/45*(4*x^5 + x^3 - 5*x)*(x + 1)^(1/4)*(x - 1)^(1/4)/x^(11/2)","A",0
364,0,0,0,0.000000," ","integrate((-1+2*x)/(x^4-2*x^3+x+1)^(1/2),x, algorithm=""maxima"")","\int \frac{2 \, x - 1}{\sqrt{x^{4} - 2 \, x^{3} + x + 1}}\,{d x}"," ",0,"integrate((2*x - 1)/sqrt(x^4 - 2*x^3 + x + 1), x)","F",0
365,0,0,0,0.000000," ","integrate((1+x)/(-1+x)/x/(x^4-x^3)^(1/4),x, algorithm=""maxima"")","\int \frac{x + 1}{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(x - 1\right)} x}\,{d x}"," ",0,"integrate((x + 1)/((x^4 - x^3)^(1/4)*(x - 1)*x), x)","F",0
366,0,0,0,0.000000," ","integrate((x^4+3)*(x^4-x^3-1)/x^6/(x^5-x)^(1/4),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - x^{3} - 1\right)} {\left(x^{4} + 3\right)}}{{\left(x^{5} - x\right)}^{\frac{1}{4}} x^{6}}\,{d x}"," ",0,"integrate((x^4 - x^3 - 1)*(x^4 + 3)/((x^5 - x)^(1/4)*x^6), x)","F",0
367,0,0,0,0.000000," ","integrate((x^4+3)*(x^4+x^3-1)/x^6/(x^5-x)^(1/4),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + x^{3} - 1\right)} {\left(x^{4} + 3\right)}}{{\left(x^{5} - x\right)}^{\frac{1}{4}} x^{6}}\,{d x}"," ",0,"integrate((x^4 + x^3 - 1)*(x^4 + 3)/((x^5 - x)^(1/4)*x^6), x)","F",0
368,0,0,0,0.000000," ","integrate((3*x^4-1)/(x^4-a*x+1)/(x^5+x)^(1/2),x, algorithm=""maxima"")","\int \frac{3 \, x^{4} - 1}{\sqrt{x^{5} + x} {\left(x^{4} - a x + 1\right)}}\,{d x}"," ",0,"integrate((3*x^4 - 1)/(sqrt(x^5 + x)*(x^4 - a*x + 1)), x)","F",0
369,0,0,0,0.000000," ","integrate((3*x^4-1)/(a*x^4+a-x)/(x^5+x)^(1/2),x, algorithm=""maxima"")","\int \frac{3 \, x^{4} - 1}{{\left(a x^{4} + a - x\right)} \sqrt{x^{5} + x}}\,{d x}"," ",0,"integrate((3*x^4 - 1)/((a*x^4 + a - x)*sqrt(x^5 + x)), x)","F",0
370,0,0,0,0.000000," ","integrate((x^6-1)^(1/2)*(x^6+2)/x^3/(x^6-x^4-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} + 2\right)} \sqrt{x^{6} - 1}}{{\left(x^{6} - x^{4} - 1\right)} x^{3}}\,{d x}"," ",0,"integrate((x^6 + 2)*sqrt(x^6 - 1)/((x^6 - x^4 - 1)*x^3), x)","F",0
371,0,0,0,0.000000," ","integrate((-x^6+1)^(1/2)*(2*x^6+1)/x^2/(x^6-x^2-1),x, algorithm=""maxima"")","\int \frac{{\left(2 \, x^{6} + 1\right)} \sqrt{-x^{6} + 1}}{{\left(x^{6} - x^{2} - 1\right)} x^{2}}\,{d x}"," ",0,"integrate((2*x^6 + 1)*sqrt(-x^6 + 1)/((x^6 - x^2 - 1)*x^2), x)","F",0
372,1,23,0,0.484712," ","integrate(1/x^4/(x^3-1)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{x^{3} - 1}}{3 \, x^{3}} + \frac{1}{3} \, \arctan\left(\sqrt{x^{3} - 1}\right)"," ",0,"1/3*sqrt(x^3 - 1)/x^3 + 1/3*arctan(sqrt(x^3 - 1))","A",0
373,0,0,0,0.000000," ","integrate((x^2-2*x-2)/(x^2-x+3)/(x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} - 2 \, x - 2}{\sqrt{x^{3} - 1} {\left(x^{2} - x + 3\right)}}\,{d x}"," ",0,"integrate((x^2 - 2*x - 2)/(sqrt(x^3 - 1)*(x^2 - x + 3)), x)","F",0
374,0,0,0,0.000000," ","integrate((x^2-2*x-2)/(x^2+3*x-1)/(x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} - 2 \, x - 2}{\sqrt{x^{3} - 1} {\left(x^{2} + 3 \, x - 1\right)}}\,{d x}"," ",0,"integrate((x^2 - 2*x - 2)/(sqrt(x^3 - 1)*(x^2 + 3*x - 1)), x)","F",0
375,1,23,0,0.732211," ","integrate((x^3-1)^(1/2)/x^4,x, algorithm=""maxima"")","-\frac{\sqrt{x^{3} - 1}}{3 \, x^{3}} + \frac{1}{3} \, \arctan\left(\sqrt{x^{3} - 1}\right)"," ",0,"-1/3*sqrt(x^3 - 1)/x^3 + 1/3*arctan(sqrt(x^3 - 1))","A",0
376,1,37,0,0.348119," ","integrate(1/x^4/(x^3+1)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{x^{3} + 1}}{3 \, x^{3}} + \frac{1}{6} \, \log\left(\sqrt{x^{3} + 1} + 1\right) - \frac{1}{6} \, \log\left(\sqrt{x^{3} + 1} - 1\right)"," ",0,"-1/3*sqrt(x^3 + 1)/x^3 + 1/6*log(sqrt(x^3 + 1) + 1) - 1/6*log(sqrt(x^3 + 1) - 1)","A",0
377,0,0,0,0.000000," ","integrate((1+x)/(-2+x)/(x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x + 1}{\sqrt{x^{3} + 1} {\left(x - 2\right)}}\,{d x}"," ",0,"integrate((x + 1)/(sqrt(x^3 + 1)*(x - 2)), x)","F",0
378,1,37,0,0.319100," ","integrate((x^3+1)^(1/2)/x^4,x, algorithm=""maxima"")","-\frac{\sqrt{x^{3} + 1}}{3 \, x^{3}} - \frac{1}{6} \, \log\left(\sqrt{x^{3} + 1} + 1\right) + \frac{1}{6} \, \log\left(\sqrt{x^{3} + 1} - 1\right)"," ",0,"-1/3*sqrt(x^3 + 1)/x^3 - 1/6*log(sqrt(x^3 + 1) + 1) + 1/6*log(sqrt(x^3 + 1) - 1)","A",0
379,0,0,0,0.000000," ","integrate((1+x)/(-1+2*x)/(x^4+x)^(1/2),x, algorithm=""maxima"")","\int \frac{x + 1}{\sqrt{x^{4} + x} {\left(2 \, x - 1\right)}}\,{d x}"," ",0,"integrate((x + 1)/(sqrt(x^4 + x)*(2*x - 1)), x)","F",0
380,0,0,0,0.000000," ","integrate((-1+x)/(x^4-4*x^3+4*x^2-5)^(1/2),x, algorithm=""maxima"")","\int \frac{x - 1}{\sqrt{x^{4} - 4 \, x^{3} + 4 \, x^{2} - 5}}\,{d x}"," ",0,"integrate((x - 1)/sqrt(x^4 - 4*x^3 + 4*x^2 - 5), x)","F",0
381,0,0,0,0.000000," ","integrate((2+x)/(x^4+8*x^3+16*x^2+13)^(1/2),x, algorithm=""maxima"")","\int \frac{x + 2}{\sqrt{x^{4} + 8 \, x^{3} + 16 \, x^{2} + 13}}\,{d x}"," ",0,"integrate((x + 2)/sqrt(x^4 + 8*x^3 + 16*x^2 + 13), x)","F",0
382,1,45,0,0.552346," ","integrate(x/(a*x^4+b)^(1/2),x, algorithm=""maxima"")","-\frac{\log\left(-\frac{\sqrt{a} - \frac{\sqrt{a x^{4} + b}}{x^{2}}}{\sqrt{a} + \frac{\sqrt{a x^{4} + b}}{x^{2}}}\right)}{4 \, \sqrt{a}}"," ",0,"-1/4*log(-(sqrt(a) - sqrt(a*x^4 + b)/x^2)/(sqrt(a) + sqrt(a*x^4 + b)/x^2))/sqrt(a)","A",0
383,1,23,0,0.470837," ","integrate(1/x^7/(x^6-1)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{x^{6} - 1}}{6 \, x^{6}} + \frac{1}{6} \, \arctan\left(\sqrt{x^{6} - 1}\right)"," ",0,"1/6*sqrt(x^6 - 1)/x^6 + 1/6*arctan(sqrt(x^6 - 1))","A",0
384,1,23,0,0.492111," ","integrate((x^6-1)^(1/2)/x^7,x, algorithm=""maxima"")","-\frac{\sqrt{x^{6} - 1}}{6 \, x^{6}} + \frac{1}{6} \, \arctan\left(\sqrt{x^{6} - 1}\right)"," ",0,"-1/6*sqrt(x^6 - 1)/x^6 + 1/6*arctan(sqrt(x^6 - 1))","A",0
385,1,37,0,0.448921," ","integrate((x^6-1)/x^7/(x^6+1)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{x^{6} + 1}}{6 \, x^{6}} - \frac{1}{4} \, \log\left(\sqrt{x^{6} + 1} + 1\right) + \frac{1}{4} \, \log\left(\sqrt{x^{6} + 1} - 1\right)"," ",0,"1/6*sqrt(x^6 + 1)/x^6 - 1/4*log(sqrt(x^6 + 1) + 1) + 1/4*log(sqrt(x^6 + 1) - 1)","A",0
386,1,37,0,0.578046," ","integrate((x^6+1)^(1/2)/x^7,x, algorithm=""maxima"")","-\frac{\sqrt{x^{6} + 1}}{6 \, x^{6}} - \frac{1}{12} \, \log\left(\sqrt{x^{6} + 1} + 1\right) + \frac{1}{12} \, \log\left(\sqrt{x^{6} + 1} - 1\right)"," ",0,"-1/6*sqrt(x^6 + 1)/x^6 - 1/12*log(sqrt(x^6 + 1) + 1) + 1/12*log(sqrt(x^6 + 1) - 1)","A",0
387,1,58,0,0.895022," ","integrate((x^6+2)*(x^12+x^8-2*x^6+1)/x^10/(x^6-1)^(3/4),x, algorithm=""maxima"")","\frac{2 \, {\left(x^{18} + 9 \, x^{14} - 3 \, x^{12} - 9 \, x^{8} + 3 \, x^{6} - 1\right)}}{9 \, {\left(x^{2} + x + 1\right)}^{\frac{3}{4}} {\left(x^{2} - x + 1\right)}^{\frac{3}{4}} {\left(x + 1\right)}^{\frac{3}{4}} {\left(x - 1\right)}^{\frac{3}{4}} x^{9}}"," ",0,"2/9*(x^18 + 9*x^14 - 3*x^12 - 9*x^8 + 3*x^6 - 1)/((x^2 + x + 1)^(3/4)*(x^2 - x + 1)^(3/4)*(x + 1)^(3/4)*(x - 1)^(3/4)*x^9)","B",0
388,0,0,0,0.000000," ","integrate((2*x^2+2*x-1)/(3*x^2-x+1)/(x^4-x)^(1/2),x, algorithm=""maxima"")","\int \frac{2 \, x^{2} + 2 \, x - 1}{\sqrt{x^{4} - x} {\left(3 \, x^{2} - x + 1\right)}}\,{d x}"," ",0,"integrate((2*x^2 + 2*x - 1)/(sqrt(x^4 - x)*(3*x^2 - x + 1)), x)","F",0
389,0,0,0,0.000000," ","integrate((x^3+1)/x^3/(x^3-1)/(x^4-x)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{3} + 1}{{\left(x^{4} - x\right)}^{\frac{1}{4}} {\left(x^{3} - 1\right)} x^{3}}\,{d x}"," ",0,"integrate((x^3 + 1)/((x^4 - x)^(1/4)*(x^3 - 1)*x^3), x)","F",0
390,0,0,0,0.000000," ","integrate((2*x^2-2*x-1)/(x^2+3*x-1)/(x^4+x)^(1/2),x, algorithm=""maxima"")","\int \frac{2 \, x^{2} - 2 \, x - 1}{\sqrt{x^{4} + x} {\left(x^{2} + 3 \, x - 1\right)}}\,{d x}"," ",0,"integrate((2*x^2 - 2*x - 1)/(sqrt(x^4 + x)*(x^2 + 3*x - 1)), x)","F",0
391,0,0,0,0.000000," ","integrate((x^2-1)/x^2/(x^2+1)/(x^4+x^2)^(1/4),x, algorithm=""maxima"")","-\frac{2 \, {\left(8 \, x^{5} + 7 \, {\left(x^{3} + x\right)} x^{2} + 9 \, x^{3} + x\right)}}{21 \, {\left(x^{\frac{9}{2}} + x^{\frac{5}{2}}\right)} {\left(x^{2} + 1\right)}^{\frac{1}{4}}} + \int \frac{8 \, {\left(4 \, x^{4} + x^{2} - 3\right)}}{21 \, {\left(x^{\frac{13}{2}} + 2 \, x^{\frac{9}{2}} + x^{\frac{5}{2}}\right)} {\left(x^{2} + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"-2/21*(8*x^5 + 7*(x^3 + x)*x^2 + 9*x^3 + x)/((x^(9/2) + x^(5/2))*(x^2 + 1)^(1/4)) + integrate(8/21*(4*x^4 + x^2 - 3)/((x^(13/2) + 2*x^(9/2) + x^(5/2))*(x^2 + 1)^(1/4)), x)","F",0
392,0,0,0,0.000000," ","integrate((-1+2*x)/(x^4-2*x^3+9*x^2-8*x)^(1/2),x, algorithm=""maxima"")","\int \frac{2 \, x - 1}{\sqrt{x^{4} - 2 \, x^{3} + 9 \, x^{2} - 8 \, x}}\,{d x}"," ",0,"integrate((2*x - 1)/sqrt(x^4 - 2*x^3 + 9*x^2 - 8*x), x)","F",0
393,0,0,0,0.000000," ","integrate((-a+2*x)/(-a*x+x^2+b-1)/(-a*x+x^2+b)^(1/4),x, algorithm=""maxima"")","\int \frac{a - 2 \, x}{{\left(a x - x^{2} - b + 1\right)} {\left(-a x + x^{2} + b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((a - 2*x)/((a*x - x^2 - b + 1)*(-a*x + x^2 + b)^(1/4)), x)","F",0
394,1,37,0,0.397888," ","integrate((x^3-4)*(x^3-1)^(2/3)/x^12,x, algorithm=""maxima"")","-\frac{3 \, {\left(x^{3} - 1\right)}^{\frac{5}{3}}}{5 \, x^{5}} + \frac{7 \, {\left(x^{3} - 1\right)}^{\frac{8}{3}}}{8 \, x^{8}} - \frac{4 \, {\left(x^{3} - 1\right)}^{\frac{11}{3}}}{11 \, x^{11}}"," ",0,"-3/5*(x^3 - 1)^(5/3)/x^5 + 7/8*(x^3 - 1)^(8/3)/x^8 - 4/11*(x^3 - 1)^(11/3)/x^11","A",0
395,0,0,0,0.000000," ","integrate((x^2+2*x-2)/(x^2-3*x-1)/(x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} + 2 \, x - 2}{\sqrt{x^{3} + 1} {\left(x^{2} - 3 \, x - 1\right)}}\,{d x}"," ",0,"integrate((x^2 + 2*x - 2)/(sqrt(x^3 + 1)*(x^2 - 3*x - 1)), x)","F",0
396,0,0,0,0.000000," ","integrate((x^2+2*x-2)/(2*x^2-x+3)/(x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} + 2 \, x - 2}{\sqrt{x^{3} + 1} {\left(2 \, x^{2} - x + 3\right)}}\,{d x}"," ",0,"integrate((x^2 + 2*x - 2)/(sqrt(x^3 + 1)*(2*x^2 - x + 3)), x)","F",0
397,0,0,0,0.000000," ","integrate((x^2+2*x-2)/(3*x^2-4*x+2)/(x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} + 2 \, x - 2}{\sqrt{x^{3} + 1} {\left(3 \, x^{2} - 4 \, x + 2\right)}}\,{d x}"," ",0,"integrate((x^2 + 2*x - 2)/(sqrt(x^3 + 1)*(3*x^2 - 4*x + 2)), x)","F",0
398,1,37,0,0.339066," ","integrate((x^3-1)*(x^3+1)^(1/3)/x^11,x, algorithm=""maxima"")","\frac{{\left(x^{3} + 1\right)}^{\frac{4}{3}}}{2 \, x^{4}} - \frac{3 \, {\left(x^{3} + 1\right)}^{\frac{7}{3}}}{7 \, x^{7}} + \frac{{\left(x^{3} + 1\right)}^{\frac{10}{3}}}{10 \, x^{10}}"," ",0,"1/2*(x^3 + 1)^(4/3)/x^4 - 3/7*(x^3 + 1)^(7/3)/x^7 + 1/10*(x^3 + 1)^(10/3)/x^10","A",0
399,1,37,0,0.353088," ","integrate((x^3-1)^(1/3)*(x^3+1)/x^11,x, algorithm=""maxima"")","\frac{{\left(x^{3} - 1\right)}^{\frac{4}{3}}}{2 \, x^{4}} - \frac{3 \, {\left(x^{3} - 1\right)}^{\frac{7}{3}}}{7 \, x^{7}} + \frac{{\left(x^{3} - 1\right)}^{\frac{10}{3}}}{10 \, x^{10}}"," ",0,"1/2*(x^3 - 1)^(4/3)/x^4 - 3/7*(x^3 - 1)^(7/3)/x^7 + 1/10*(x^3 - 1)^(10/3)/x^10","A",0
400,1,72,0,0.337518," ","integrate((3*x^3+x^2-2*x-1)/(x^3-3*x^2+3*x-1)^(1/4),x, algorithm=""maxima"")","\frac{4 \, {\left(15 \, x^{4} + 5 \, x^{3} + 12 \, x^{2} + 96 \, x - 128\right)}}{65 \, {\left(x - 1\right)}^{\frac{3}{4}}} + \frac{4 \, {\left(5 \, x^{3} + 3 \, x^{2} + 24 \, x - 32\right)}}{45 \, {\left(x - 1\right)}^{\frac{3}{4}}} - \frac{8 \, {\left(x^{2} + 3 \, x - 4\right)}}{5 \, {\left(x - 1\right)}^{\frac{3}{4}}} - 4 \, {\left(x - 1\right)}^{\frac{1}{4}}"," ",0,"4/65*(15*x^4 + 5*x^3 + 12*x^2 + 96*x - 128)/(x - 1)^(3/4) + 4/45*(5*x^3 + 3*x^2 + 24*x - 32)/(x - 1)^(3/4) - 8/5*(x^2 + 3*x - 4)/(x - 1)^(3/4) - 4*(x - 1)^(1/4)","B",0
401,1,74,0,0.339230," ","integrate((x^3-3*x^2+3*x-1)^(1/4)*(3*x^3+x^2-2*x-1),x, algorithm=""maxima"")","\frac{12}{7315} \, {\left(385 \, x^{4} - 77 \, x^{3} - 84 \, x^{2} - 96 \, x - 128\right)} {\left(x - 1\right)}^{\frac{3}{4}} + \frac{4}{1155} \, {\left(77 \, x^{3} - 21 \, x^{2} - 24 \, x - 32\right)} {\left(x - 1\right)}^{\frac{3}{4}} - \frac{8}{77} \, {\left(7 \, x^{2} - 3 \, x - 4\right)} {\left(x - 1\right)}^{\frac{3}{4}} - \frac{4}{7} \, {\left(x - 1\right)}^{\frac{7}{4}}"," ",0,"12/7315*(385*x^4 - 77*x^3 - 84*x^2 - 96*x - 128)*(x - 1)^(3/4) + 4/1155*(77*x^3 - 21*x^2 - 24*x - 32)*(x - 1)^(3/4) - 8/77*(7*x^2 - 3*x - 4)*(x - 1)^(3/4) - 4/7*(x - 1)^(7/4)","B",0
402,0,0,0,0.000000," ","integrate((a*x^3-2*b)*(a*x^3+b)^(1/2)/x^2/(a*x^3-x^2+b),x, algorithm=""maxima"")","\int \frac{\sqrt{a x^{3} + b} {\left(a x^{3} - 2 \, b\right)}}{{\left(a x^{3} - x^{2} + b\right)} x^{2}}\,{d x}"," ",0,"integrate(sqrt(a*x^3 + b)*(a*x^3 - 2*b)/((a*x^3 - x^2 + b)*x^2), x)","F",0
403,1,47,0,0.590258," ","integrate(1/(x^4+1)^(1/4),x, algorithm=""maxima"")","-\frac{1}{2} \, \arctan\left(\frac{{\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{4} \, \log\left(\frac{{\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x} + 1\right) - \frac{1}{4} \, \log\left(\frac{{\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x} - 1\right)"," ",0,"-1/2*arctan((x^4 + 1)^(1/4)/x) + 1/4*log((x^4 + 1)^(1/4)/x + 1) - 1/4*log((x^4 + 1)^(1/4)/x - 1)","A",0
404,0,0,0,0.000000," ","integrate((2*x^2-2*x-1)/(4*x^2+2*x+1)/(x^4+x)^(1/2),x, algorithm=""maxima"")","\int \frac{2 \, x^{2} - 2 \, x - 1}{\sqrt{x^{4} + x} {\left(4 \, x^{2} + 2 \, x + 1\right)}}\,{d x}"," ",0,"integrate((2*x^2 - 2*x - 1)/(sqrt(x^4 + x)*(4*x^2 + 2*x + 1)), x)","F",0
405,0,0,0,0.000000," ","integrate((x^4+x)^(1/2),x, algorithm=""maxima"")","\int \sqrt{x^{4} + x}\,{d x}"," ",0,"integrate(sqrt(x^4 + x), x)","F",0
406,0,0,0,0.000000," ","integrate(1/(x^4-x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{4} - x^{2}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((x^4 - x^2)^(-1/4), x)","F",0
407,0,0,0,0.000000," ","integrate((a*x^2+2*b)/(a*x^2+b)^(1/4)/(x^4-a*x^2-b),x, algorithm=""maxima"")","\int \frac{a x^{2} + 2 \, b}{{\left(x^{4} - a x^{2} - b\right)} {\left(a x^{2} + b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((a*x^2 + 2*b)/((x^4 - a*x^2 - b)*(a*x^2 + b)^(1/4)), x)","F",0
408,0,0,0,0.000000," ","integrate((-1+2*x)/(x^4-2*x^3+3*x^2-2*x-2)^(1/2),x, algorithm=""maxima"")","\int \frac{2 \, x - 1}{\sqrt{x^{4} - 2 \, x^{3} + 3 \, x^{2} - 2 \, x - 2}}\,{d x}"," ",0,"integrate((2*x - 1)/sqrt(x^4 - 2*x^3 + 3*x^2 - 2*x - 2), x)","F",0
409,0,0,0,0.000000," ","integrate((-1+2*x)/(x^4-2*x^3+5*x^2-4*x-4)^(1/2),x, algorithm=""maxima"")","\int \frac{2 \, x - 1}{\sqrt{x^{4} - 2 \, x^{3} + 5 \, x^{2} - 4 \, x - 4}}\,{d x}"," ",0,"integrate((2*x - 1)/sqrt(x^4 - 2*x^3 + 5*x^2 - 4*x - 4), x)","F",0
410,0,0,0,0.000000," ","integrate(1/x^4/(x^4+x^3)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x^{4}}\,{d x}"," ",0,"integrate(1/((x^4 + x^3)^(1/4)*x^4), x)","F",0
411,1,49,0,0.786133," ","integrate(x/(a*x^4-b)^(1/2),x, algorithm=""maxima"")","-\frac{\log\left(-\frac{\sqrt{a} - \frac{\sqrt{a x^{4} - b}}{x^{2}}}{\sqrt{a} + \frac{\sqrt{a x^{4} - b}}{x^{2}}}\right)}{4 \, \sqrt{a}}"," ",0,"-1/4*log(-(sqrt(a) - sqrt(a*x^4 - b)/x^2)/(sqrt(a) + sqrt(a*x^4 - b)/x^2))/sqrt(a)","A",0
412,1,37,0,0.451905," ","integrate((x^3+1)^(2/3)*(2*x^6-x^3+1)/x^12,x, algorithm=""maxima"")","-\frac{4 \, {\left(x^{3} + 1\right)}^{\frac{5}{3}}}{5 \, x^{5}} + \frac{3 \, {\left(x^{3} + 1\right)}^{\frac{8}{3}}}{8 \, x^{8}} - \frac{{\left(x^{3} + 1\right)}^{\frac{11}{3}}}{11 \, x^{11}}"," ",0,"-4/5*(x^3 + 1)^(5/3)/x^5 + 3/8*(x^3 + 1)^(8/3)/x^8 - 1/11*(x^3 + 1)^(11/3)/x^11","A",0
413,0,0,0,0.000000," ","integrate((x^4+3)*(-x^5+x)^(1/2)/(x^8-x^6-2*x^4+1),x, algorithm=""maxima"")","\int \frac{\sqrt{-x^{5} + x} {\left(x^{4} + 3\right)}}{x^{8} - x^{6} - 2 \, x^{4} + 1}\,{d x}"," ",0,"integrate(sqrt(-x^5 + x)*(x^4 + 3)/(x^8 - x^6 - 2*x^4 + 1), x)","F",0
414,1,39,0,0.527530," ","integrate((x^16-1)/x^8/(x^4-1)^(1/2),x, algorithm=""maxima"")","\frac{{\left(3 \, x^{12} + 5 \, x^{8} - 5 \, x^{4} - 3\right)} \sqrt{x^{2} + 1} \sqrt{x + 1} \sqrt{x - 1}}{21 \, x^{7}}"," ",0,"1/21*(3*x^12 + 5*x^8 - 5*x^4 - 3)*sqrt(x^2 + 1)*sqrt(x + 1)*sqrt(x - 1)/x^7","A",0
415,1,15,0,0.340481," ","integrate(((-1+x)^(3/2)+(1+x)^(3/2))/(-1+x)^(3/2)/(1+x)^(3/2),x, algorithm=""maxima"")","-\frac{2}{\sqrt{x + 1}} - \frac{2}{\sqrt{x - 1}}"," ",0,"-2/sqrt(x + 1) - 2/sqrt(x - 1)","A",0
416,0,0,0,0.000000," ","integrate((1+x)/(-1+x)/(x^3+x^2+x)^(1/2),x, algorithm=""maxima"")","\int \frac{x + 1}{\sqrt{x^{3} + x^{2} + x} {\left(x - 1\right)}}\,{d x}"," ",0,"integrate((x + 1)/(sqrt(x^3 + x^2 + x)*(x - 1)), x)","F",0
417,0,0,0,0.000000," ","integrate((x^2-1)/(x^2-x+1)/(x^3+x^2+x)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} - 1}{\sqrt{x^{3} + x^{2} + x} {\left(x^{2} - x + 1\right)}}\,{d x}"," ",0,"integrate((x^2 - 1)/(sqrt(x^3 + x^2 + x)*(x^2 - x + 1)), x)","F",0
418,0,0,0,0.000000," ","integrate((-1+x)/(1+x)/(x^4+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x - 1}{\sqrt{x^{4} + 1} {\left(x + 1\right)}}\,{d x}"," ",0,"integrate((x - 1)/(sqrt(x^4 + 1)*(x + 1)), x)","F",0
419,0,0,0,0.000000," ","integrate((1+x)/(-1+x)/(x^4+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x + 1}{\sqrt{x^{4} + 1} {\left(x - 1\right)}}\,{d x}"," ",0,"integrate((x + 1)/(sqrt(x^4 + 1)*(x - 1)), x)","F",0
420,0,0,0,0.000000," ","integrate((1+x)/(-1+x)/(x^4+x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x + 1}{\sqrt{x^{4} + x^{2} + 1} {\left(x - 1\right)}}\,{d x}"," ",0,"integrate((x + 1)/(sqrt(x^4 + x^2 + 1)*(x - 1)), x)","F",0
421,0,0,0,0.000000," ","integrate((x^2+1)/(x^2-1)/(x^4+x^3-x^2-x+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} + 1}{\sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(x^{2} - 1\right)}}\,{d x}"," ",0,"integrate((x^2 + 1)/(sqrt(x^4 + x^3 - x^2 - x + 1)*(x^2 - 1)), x)","F",0
422,0,0,0,0.000000," ","integrate(x/(x^4+2*x^3-3*x^2-11*x+11)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{x^{4} + 2 \, x^{3} - 3 \, x^{2} - 11 \, x + 11}}\,{d x}"," ",0,"integrate(x/sqrt(x^4 + 2*x^3 - 3*x^2 - 11*x + 11), x)","F",0
423,0,0,0,0.000000," ","integrate((1+x)/(x^4+2*x^3-3*x^2-5*x+2)^(1/2),x, algorithm=""maxima"")","\int \frac{x + 1}{\sqrt{x^{4} + 2 \, x^{3} - 3 \, x^{2} - 5 \, x + 2}}\,{d x}"," ",0,"integrate((x + 1)/sqrt(x^4 + 2*x^3 - 3*x^2 - 5*x + 2), x)","F",0
424,0,0,0,0.000000," ","integrate(x/(x^4+2*x^3-3*x^2+3*x-3)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{x^{4} + 2 \, x^{3} - 3 \, x^{2} + 3 \, x - 3}}\,{d x}"," ",0,"integrate(x/sqrt(x^4 + 2*x^3 - 3*x^2 + 3*x - 3), x)","F",0
425,0,0,0,0.000000," ","integrate((-x^6+1)^(1/2)*(x^6+2)/x^3/(x^6+x^4-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} + 2\right)} \sqrt{-x^{6} + 1}}{{\left(x^{6} + x^{4} - 1\right)} x^{3}}\,{d x}"," ",0,"integrate((x^6 + 2)*sqrt(-x^6 + 1)/((x^6 + x^4 - 1)*x^3), x)","F",0
426,1,45,0,0.533527," ","integrate(x^(1/2)/(x^2-2)^(3/4),x, algorithm=""maxima"")","\arctan\left(\frac{{\left(x^{2} - 2\right)}^{\frac{1}{4}}}{\sqrt{x}}\right) + \frac{1}{2} \, \log\left(\frac{{\left(x^{2} - 2\right)}^{\frac{1}{4}}}{\sqrt{x}} + 1\right) - \frac{1}{2} \, \log\left(\frac{{\left(x^{2} - 2\right)}^{\frac{1}{4}}}{\sqrt{x}} - 1\right)"," ",0,"arctan((x^2 - 2)^(1/4)/sqrt(x)) + 1/2*log((x^2 - 2)^(1/4)/sqrt(x) + 1) - 1/2*log((x^2 - 2)^(1/4)/sqrt(x) - 1)","A",0
427,0,0,0,0.000000," ","integrate((a+x)/(2*a*x+x^2+2*b-1)/(2*a*x+x^2+2*b)^(1/4),x, algorithm=""maxima"")","\int \frac{a + x}{{\left(2 \, a x + x^{2} + 2 \, b\right)}^{\frac{1}{4}} {\left(2 \, a x + x^{2} + 2 \, b - 1\right)}}\,{d x}"," ",0,"integrate((a + x)/((2*a*x + x^2 + 2*b)^(1/4)*(2*a*x + x^2 + 2*b - 1)), x)","F",0
428,-2,0,0,0.000000," ","integrate(1/(a*x^2+b*x+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
429,1,37,0,0.525118," ","integrate(x^11*(x^3-1)^(1/3),x, algorithm=""maxima"")","\frac{1}{13} \, {\left(x^{3} - 1\right)}^{\frac{13}{3}} + \frac{3}{10} \, {\left(x^{3} - 1\right)}^{\frac{10}{3}} + \frac{3}{7} \, {\left(x^{3} - 1\right)}^{\frac{7}{3}} + \frac{1}{4} \, {\left(x^{3} - 1\right)}^{\frac{4}{3}}"," ",0,"1/13*(x^3 - 1)^(13/3) + 3/10*(x^3 - 1)^(10/3) + 3/7*(x^3 - 1)^(7/3) + 1/4*(x^3 - 1)^(4/3)","A",0
430,0,0,0,0.000000," ","integrate((x^2-2*x-1)/(3*x^2+2*x+1)/(x^3-x)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} - 2 \, x - 1}{\sqrt{x^{3} - x} {\left(3 \, x^{2} + 2 \, x + 1\right)}}\,{d x}"," ",0,"integrate((x^2 - 2*x - 1)/(sqrt(x^3 - x)*(3*x^2 + 2*x + 1)), x)","F",0
431,1,31,0,0.463367," ","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=""maxima"")","\frac{\sqrt{x^{2} + x + 1} \sqrt{-x^{2} - 3 \, x - 1}}{x^{2} + 3 \, x + 1}"," ",0,"sqrt(x^2 + x + 1)*sqrt(-x^2 - 3*x - 1)/(x^2 + 3*x + 1)","A",0
432,1,45,0,0.532509," ","integrate((x^4-1)/x^3/(x^4+1)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{x^{4} + 1}}{2 \, x^{2}} + \frac{1}{4} \, \log\left(\frac{\sqrt{x^{4} + 1}}{x^{2}} + 1\right) - \frac{1}{4} \, \log\left(\frac{\sqrt{x^{4} + 1}}{x^{2}} - 1\right)"," ",0,"1/2*sqrt(x^4 + 1)/x^2 + 1/4*log(sqrt(x^4 + 1)/x^2 + 1) - 1/4*log(sqrt(x^4 + 1)/x^2 - 1)","A",0
433,0,0,0,0.000000," ","integrate((x^3-1)/x^6/(x^3+1)/(x^4+x)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{3} - 1}{{\left(x^{4} + x\right)}^{\frac{1}{4}} {\left(x^{3} + 1\right)} x^{6}}\,{d x}"," ",0,"integrate((x^3 - 1)/((x^4 + x)^(1/4)*(x^3 + 1)*x^6), x)","F",0
434,0,0,0,0.000000," ","integrate((x^4+x)^(1/2)/x^3,x, algorithm=""maxima"")","\int \frac{\sqrt{x^{4} + x}}{x^{3}}\,{d x}"," ",0,"integrate(sqrt(x^4 + x)/x^3, x)","F",0
435,1,36,0,0.595077," ","integrate(1/x^8/(x^4+x^2)^(1/4),x, algorithm=""maxima"")","\frac{2 \, {\left(128 \, x^{9} + 32 \, x^{7} - 12 \, x^{5} + 7 \, x^{3} - 77 \, x\right)}}{1155 \, {\left(x^{2} + 1\right)}^{\frac{1}{4}} x^{\frac{17}{2}}}"," ",0,"2/1155*(128*x^9 + 32*x^7 - 12*x^5 + 7*x^3 - 77*x)/((x^2 + 1)^(1/4)*x^(17/2))","A",0
436,0,0,0,0.000000," ","integrate((1-2*x)/(x^4-2*x^3-4*x^2+5*x+5)^(1/2),x, algorithm=""maxima"")","-\int \frac{2 \, x - 1}{\sqrt{x^{4} - 2 \, x^{3} - 4 \, x^{2} + 5 \, x + 5}}\,{d x}"," ",0,"-integrate((2*x - 1)/sqrt(x^4 - 2*x^3 - 4*x^2 + 5*x + 5), x)","F",0
437,0,0,0,0.000000," ","integrate(1/x^4/(x^4-x^3)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} x^{4}}\,{d x}"," ",0,"integrate(1/((x^4 - x^3)^(1/4)*x^4), x)","F",0
438,0,0,0,0.000000," ","integrate((1+2*x)/(x^4+2*x^3-2*x^2-3*x-4)^(1/2),x, algorithm=""maxima"")","\int \frac{2 \, x + 1}{\sqrt{x^{4} + 2 \, x^{3} - 2 \, x^{2} - 3 \, x - 4}}\,{d x}"," ",0,"integrate((2*x + 1)/sqrt(x^4 + 2*x^3 - 2*x^2 - 3*x - 4), x)","F",0
439,0,0,0,0.000000," ","integrate((a*x^3+4*b)/(a*x^3+b)^(1/4)/(-a*x^3+x^4-b),x, algorithm=""maxima"")","-\int \frac{a x^{3} + 4 \, b}{{\left(a x^{3} - x^{4} + b\right)} {\left(a x^{3} + b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"-integrate((a*x^3 + 4*b)/((a*x^3 - x^4 + b)*(a*x^3 + b)^(1/4)), x)","F",0
440,1,58,0,0.341633," ","integrate(x^8/(x^6-1)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{x^{6} - 1}}{6 \, x^{3} {\left(\frac{x^{6} - 1}{x^{6}} - 1\right)}} + \frac{1}{12} \, \log\left(\frac{\sqrt{x^{6} - 1}}{x^{3}} + 1\right) - \frac{1}{12} \, \log\left(\frac{\sqrt{x^{6} - 1}}{x^{3}} - 1\right)"," ",0,"-1/6*sqrt(x^6 - 1)/(x^3*((x^6 - 1)/x^6 - 1)) + 1/12*log(sqrt(x^6 - 1)/x^3 + 1) - 1/12*log(sqrt(x^6 - 1)/x^3 - 1)","B",0
441,1,45,0,0.399502," ","integrate((x^6-1)^(1/2)/x^4,x, algorithm=""maxima"")","-\frac{\sqrt{x^{6} - 1}}{3 \, x^{3}} + \frac{1}{6} \, \log\left(\frac{\sqrt{x^{6} - 1}}{x^{3}} + 1\right) - \frac{1}{6} \, \log\left(\frac{\sqrt{x^{6} - 1}}{x^{3}} - 1\right)"," ",0,"-1/3*sqrt(x^6 - 1)/x^3 + 1/6*log(sqrt(x^6 - 1)/x^3 + 1) - 1/6*log(sqrt(x^6 - 1)/x^3 - 1)","A",0
442,1,58,0,0.395323," ","integrate(x^2*(x^6-1)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{x^{6} - 1}}{6 \, x^{3} {\left(\frac{x^{6} - 1}{x^{6}} - 1\right)}} - \frac{1}{12} \, \log\left(\frac{\sqrt{x^{6} - 1}}{x^{3}} + 1\right) + \frac{1}{12} \, \log\left(\frac{\sqrt{x^{6} - 1}}{x^{3}} - 1\right)"," ",0,"-1/6*sqrt(x^6 - 1)/(x^3*((x^6 - 1)/x^6 - 1)) - 1/12*log(sqrt(x^6 - 1)/x^3 + 1) + 1/12*log(sqrt(x^6 - 1)/x^3 - 1)","B",0
443,1,58,0,0.335236," ","integrate(x^8/(x^6+1)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{x^{6} + 1}}{6 \, x^{3} {\left(\frac{x^{6} + 1}{x^{6}} - 1\right)}} - \frac{1}{12} \, \log\left(\frac{\sqrt{x^{6} + 1}}{x^{3}} + 1\right) + \frac{1}{12} \, \log\left(\frac{\sqrt{x^{6} + 1}}{x^{3}} - 1\right)"," ",0,"1/6*sqrt(x^6 + 1)/(x^3*((x^6 + 1)/x^6 - 1)) - 1/12*log(sqrt(x^6 + 1)/x^3 + 1) + 1/12*log(sqrt(x^6 + 1)/x^3 - 1)","B",0
444,1,45,0,0.373855," ","integrate((x^6+1)^(1/2)/x^4,x, algorithm=""maxima"")","-\frac{\sqrt{x^{6} + 1}}{3 \, x^{3}} + \frac{1}{6} \, \log\left(\frac{\sqrt{x^{6} + 1}}{x^{3}} + 1\right) - \frac{1}{6} \, \log\left(\frac{\sqrt{x^{6} + 1}}{x^{3}} - 1\right)"," ",0,"-1/3*sqrt(x^6 + 1)/x^3 + 1/6*log(sqrt(x^6 + 1)/x^3 + 1) - 1/6*log(sqrt(x^6 + 1)/x^3 - 1)","A",0
445,0,0,0,0.000000," ","integrate((x^6+1)/x^6/(x^3+1)/(x^4+x)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{6} + 1}{{\left(x^{4} + x\right)}^{\frac{1}{4}} {\left(x^{3} + 1\right)} x^{6}}\,{d x}"," ",0,"integrate((x^6 + 1)/((x^4 + x)^(1/4)*(x^3 + 1)*x^6), x)","F",0
446,0,0,0,0.000000," ","integrate(x*(x^6+x)^(1/2),x, algorithm=""maxima"")","\int \sqrt{x^{6} + x} x\,{d x}"," ",0,"integrate(sqrt(x^6 + x)*x, x)","F",0
447,0,0,0,0.000000," ","integrate((a*c*x^6-2*b*c)/(a*x^6+b)^(1/4)/(-c^4*x^4+a*x^6+b),x, algorithm=""maxima"")","-\int \frac{a c x^{6} - 2 \, b c}{{\left(c^{4} x^{4} - a x^{6} - b\right)} {\left(a x^{6} + b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"-integrate((a*c*x^6 - 2*b*c)/((c^4*x^4 - a*x^6 - b)*(a*x^6 + b)^(1/4)), x)","F",0
448,0,0,0,0.000000," ","integrate(1/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x + \sqrt{x^{2} + 1}}}\,{d x}"," ",0,"integrate(1/sqrt(x + sqrt(x^2 + 1)), x)","F",0
449,1,44,0,0.551794," ","integrate((x^2+1)^(1/4)/x,x, algorithm=""maxima"")","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
450,1,46,0,0.460541," ","integrate((x^3-1)^(1/2)/x^7,x, algorithm=""maxima"")","\frac{{\left(x^{3} - 1\right)}^{\frac{3}{2}} - \sqrt{x^{3} - 1}}{12 \, {\left(2 \, x^{3} + {\left(x^{3} - 1\right)}^{2} - 1\right)}} + \frac{1}{12} \, \arctan\left(\sqrt{x^{3} - 1}\right)"," ",0,"1/12*((x^3 - 1)^(3/2) - sqrt(x^3 - 1))/(2*x^3 + (x^3 - 1)^2 - 1) + 1/12*arctan(sqrt(x^3 - 1))","A",0
451,-2,0,0,0.000000," ","integrate((a*x^2-b)/(a*x^2+c*x+b)/(a*x^3+b*x)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(c^2-4*a*b>0)', see `assume?` for more details)Is c^2-4*a*b positive, negative or zero?","F(-2)",0
452,0,0,0,0.000000," ","integrate((-1+x)/(x^4-4*x^3+6*x^2-x-2)^(1/2),x, algorithm=""maxima"")","\int \frac{x - 1}{\sqrt{x^{4} - 4 \, x^{3} + 6 \, x^{2} - x - 2}}\,{d x}"," ",0,"integrate((x - 1)/sqrt(x^4 - 4*x^3 + 6*x^2 - x - 2), x)","F",0
453,1,46,0,0.736773," ","integrate((x^6-1)^(1/2)/x^13,x, algorithm=""maxima"")","\frac{{\left(x^{6} - 1\right)}^{\frac{3}{2}} - \sqrt{x^{6} - 1}}{24 \, {\left(2 \, x^{6} + {\left(x^{6} - 1\right)}^{2} - 1\right)}} + \frac{1}{24} \, \arctan\left(\sqrt{x^{6} - 1}\right)"," ",0,"1/24*((x^6 - 1)^(3/2) - sqrt(x^6 - 1))/(2*x^6 + (x^6 - 1)^2 - 1) + 1/24*arctan(sqrt(x^6 - 1))","A",0
454,0,0,0,0.000000," ","integrate((2*x^4-2*x^2-1)/(x^4-3*x^2+2)/(x^6+1)^(1/2),x, algorithm=""maxima"")","\int \frac{2 \, x^{4} - 2 \, x^{2} - 1}{\sqrt{x^{6} + 1} {\left(x^{4} - 3 \, x^{2} + 2\right)}}\,{d x}"," ",0,"integrate((2*x^4 - 2*x^2 - 1)/(sqrt(x^6 + 1)*(x^4 - 3*x^2 + 2)), x)","F",0
455,0,0,0,0.000000," ","integrate((k*x-1)/(k*x+1)/((1-x)*x*(-k^2*x+1))^(1/2),x, algorithm=""maxima"")","\int \frac{k x - 1}{\sqrt{{\left(k^{2} x - 1\right)} {\left(x - 1\right)} x} {\left(k x + 1\right)}}\,{d x}"," ",0,"integrate((k*x - 1)/(sqrt((k^2*x - 1)*(x - 1)*x)*(k*x + 1)), x)","F",0
456,0,0,0,0.000000," ","integrate((k*x+1)/(k*x-1)/((1-x)*x*(-k^2*x+1))^(1/2),x, algorithm=""maxima"")","\int \frac{k x + 1}{\sqrt{{\left(k^{2} x - 1\right)} {\left(x - 1\right)} x} {\left(k x - 1\right)}}\,{d x}"," ",0,"integrate((k*x + 1)/(sqrt((k^2*x - 1)*(x - 1)*x)*(k*x - 1)), x)","F",0
457,0,0,0,0.000000," ","integrate((x^2-1)*(x^4+1)^(1/2)/x^2/(x^2+1),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{4} + 1} {\left(x^{2} - 1\right)}}{{\left(x^{2} + 1\right)} x^{2}}\,{d x}"," ",0,"integrate(sqrt(x^4 + 1)*(x^2 - 1)/((x^2 + 1)*x^2), x)","F",0
458,0,0,0,0.000000," ","integrate((x^3+1)/x^6/(x^3-1)/(x^4-x)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{3} + 1}{{\left(x^{4} - x\right)}^{\frac{1}{4}} {\left(x^{3} - 1\right)} x^{6}}\,{d x}"," ",0,"integrate((x^3 + 1)/((x^4 - x)^(1/4)*(x^3 - 1)*x^6), x)","F",0
459,0,0,0,0.000000," ","integrate((x^4-x)^(1/2),x, algorithm=""maxima"")","\int \sqrt{x^{4} - x}\,{d x}"," ",0,"integrate(sqrt(x^4 - x), x)","F",0
460,1,39,0,0.360517," ","integrate(1/x^8/(x^4-x^2)^(1/4),x, algorithm=""maxima"")","\frac{2 \, {\left(128 \, x^{9} - 32 \, x^{7} - 12 \, x^{5} - 7 \, x^{3} - 77 \, x\right)}}{1155 \, {\left(x + 1\right)}^{\frac{1}{4}} {\left(x - 1\right)}^{\frac{1}{4}} x^{\frac{17}{2}}}"," ",0,"2/1155*(128*x^9 - 32*x^7 - 12*x^5 - 7*x^3 - 77*x)/((x + 1)^(1/4)*(x - 1)^(1/4)*x^(17/2))","A",0
461,0,0,0,0.000000," ","integrate((-1+x)/(x^4-4*x^3+2*x^2+4*x-1)^(1/2),x, algorithm=""maxima"")","\int \frac{x - 1}{\sqrt{x^{4} - 4 \, x^{3} + 2 \, x^{2} + 4 \, x - 1}}\,{d x}"," ",0,"integrate((x - 1)/sqrt(x^4 - 4*x^3 + 2*x^2 + 4*x - 1), x)","F",0
462,0,0,0,0.000000," ","integrate((x^4-x^3)^(1/4)/(-1+x)/x,x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{{\left(x - 1\right)} x}\,{d x}"," ",0,"integrate((x^4 - x^3)^(1/4)/((x - 1)*x), x)","F",0
463,1,43,0,0.534775," ","integrate((x^3-2)/x/(x^6-1)^(1/2),x, algorithm=""maxima"")","-\frac{2}{3} \, \arctan\left(\sqrt{x^{6} - 1}\right) + \frac{1}{6} \, \log\left(\frac{\sqrt{x^{6} - 1}}{x^{3}} + 1\right) - \frac{1}{6} \, \log\left(\frac{\sqrt{x^{6} - 1}}{x^{3}} - 1\right)"," ",0,"-2/3*arctan(sqrt(x^6 - 1)) + 1/6*log(sqrt(x^6 - 1)/x^3 + 1) - 1/6*log(sqrt(x^6 - 1)/x^3 - 1)","A",0
464,1,43,0,0.490233," ","integrate((x^3+1)/x/(x^6-1)^(1/2),x, algorithm=""maxima"")","\frac{1}{3} \, \arctan\left(\sqrt{x^{6} - 1}\right) + \frac{1}{6} \, \log\left(\frac{\sqrt{x^{6} - 1}}{x^{3}} + 1\right) - \frac{1}{6} \, \log\left(\frac{\sqrt{x^{6} - 1}}{x^{3}} - 1\right)"," ",0,"1/3*arctan(sqrt(x^6 - 1)) + 1/6*log(sqrt(x^6 - 1)/x^3 + 1) - 1/6*log(sqrt(x^6 - 1)/x^3 - 1)","A",0
465,1,43,0,0.766986," ","integrate((2*x^3-1)/x/(x^6-1)^(1/2),x, algorithm=""maxima"")","-\frac{1}{3} \, \arctan\left(\sqrt{x^{6} - 1}\right) + \frac{1}{3} \, \log\left(\frac{\sqrt{x^{6} - 1}}{x^{3}} + 1\right) - \frac{1}{3} \, \log\left(\frac{\sqrt{x^{6} - 1}}{x^{3}} - 1\right)"," ",0,"-1/3*arctan(sqrt(x^6 - 1)) + 1/3*log(sqrt(x^6 - 1)/x^3 + 1) - 1/3*log(sqrt(x^6 - 1)/x^3 - 1)","A",0
466,1,43,0,0.922989," ","integrate((2*x^3+1)/x/(x^6-1)^(1/2),x, algorithm=""maxima"")","\frac{1}{3} \, \arctan\left(\sqrt{x^{6} - 1}\right) + \frac{1}{3} \, \log\left(\frac{\sqrt{x^{6} - 1}}{x^{3}} + 1\right) - \frac{1}{3} \, \log\left(\frac{\sqrt{x^{6} - 1}}{x^{3}} - 1\right)"," ",0,"1/3*arctan(sqrt(x^6 - 1)) + 1/3*log(sqrt(x^6 - 1)/x^3 + 1) - 1/3*log(sqrt(x^6 - 1)/x^3 - 1)","A",0
467,1,43,0,0.586736," ","integrate((4*x^3+1)/x/(x^6-1)^(1/2),x, algorithm=""maxima"")","\frac{1}{3} \, \arctan\left(\sqrt{x^{6} - 1}\right) + \frac{2}{3} \, \log\left(\frac{\sqrt{x^{6} - 1}}{x^{3}} + 1\right) - \frac{2}{3} \, \log\left(\frac{\sqrt{x^{6} - 1}}{x^{3}} - 1\right)"," ",0,"1/3*arctan(sqrt(x^6 - 1)) + 2/3*log(sqrt(x^6 - 1)/x^3 + 1) - 2/3*log(sqrt(x^6 - 1)/x^3 - 1)","A",0
468,0,0,0,0.000000," ","integrate((x^6+1)/x^6/(x^3-1)/(x^4-x)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{6} + 1}{{\left(x^{4} - x\right)}^{\frac{1}{4}} {\left(x^{3} - 1\right)} x^{6}}\,{d x}"," ",0,"integrate((x^6 + 1)/((x^4 - x)^(1/4)*(x^3 - 1)*x^6), x)","F",0
469,0,0,0,0.000000," ","integrate(x*(5*a*x^3+8*b)/(a*x^3+b)^(1/4)/(x^8-a*x^3-b),x, algorithm=""maxima"")","\int \frac{{\left(5 \, a x^{3} + 8 \, b\right)} x}{{\left(x^{8} - a x^{3} - b\right)} {\left(a x^{3} + b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((5*a*x^3 + 8*b)*x/((x^8 - a*x^3 - b)*(a*x^3 + b)^(1/4)), x)","F",0
470,0,0,0,0.000000," ","integrate((x+(x^2+1)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{x + \sqrt{x^{2} + 1}}\,{d x}"," ",0,"integrate(sqrt(x + sqrt(x^2 + 1)), x)","F",0
471,-2,0,0,0.000000," ","integrate((a*b-x^2)/(x*(-a+x)*(-b+x))^(1/2)/(a*b-(a+b+d)*x+x^2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume((d+b+a)^2-4*a*b>0)', see `assume?` for more details)Is (d+b+a)^2-4*a*b    positive, negative or zero?","F(-2)",0
472,-2,0,0,0.000000," ","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=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume((b*d+a*d+1)^2>0)', see `assume?` for more details)Is (b*d+a*d+1)^2    -4*a*b*d^2 positive, negative or zero?","F(-2)",0
473,0,0,0,0.000000," ","integrate((k*x^2-1)/(k*x^2+1)/((-x^2+1)*(-k^2*x^2+1))^(1/2),x, algorithm=""maxima"")","\int \frac{k x^{2} - 1}{{\left(k x^{2} + 1\right)} \sqrt{{\left(k^{2} x^{2} - 1\right)} {\left(x^{2} - 1\right)}}}\,{d x}"," ",0,"integrate((k*x^2 - 1)/((k*x^2 + 1)*sqrt((k^2*x^2 - 1)*(x^2 - 1))), x)","F",0
474,0,0,0,0.000000," ","integrate((k*x^2+1)/(k*x^2-1)/((-x^2+1)*(-k^2*x^2+1))^(1/2),x, algorithm=""maxima"")","\int \frac{k x^{2} + 1}{{\left(k x^{2} - 1\right)} \sqrt{{\left(k^{2} x^{2} - 1\right)} {\left(x^{2} - 1\right)}}}\,{d x}"," ",0,"integrate((k*x^2 + 1)/((k*x^2 - 1)*sqrt((k^2*x^2 - 1)*(x^2 - 1))), x)","F",0
475,0,0,0,0.000000," ","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=""maxima"")","\int \frac{k^{2} x^{2} - 2 \, k^{2} x + 1}{{\left(k^{2} x - 1\right)} \sqrt{{\left(k^{2} x - 1\right)} {\left(x - 1\right)} x} x}\,{d x}"," ",0,"integrate((k^2*x^2 - 2*k^2*x + 1)/((k^2*x - 1)*sqrt((k^2*x - 1)*(x - 1)*x)*x), x)","F",0
476,1,48,0,0.422412," ","integrate(1/x^7/(x^3-1)^(1/2),x, algorithm=""maxima"")","\frac{3 \, {\left(x^{3} - 1\right)}^{\frac{3}{2}} + 5 \, \sqrt{x^{3} - 1}}{12 \, {\left(2 \, x^{3} + {\left(x^{3} - 1\right)}^{2} - 1\right)}} + \frac{1}{4} \, \arctan\left(\sqrt{x^{3} - 1}\right)"," ",0,"1/12*(3*(x^3 - 1)^(3/2) + 5*sqrt(x^3 - 1))/(2*x^3 + (x^3 - 1)^2 - 1) + 1/4*arctan(sqrt(x^3 - 1))","A",0
477,1,64,0,0.320664," ","integrate(1/x^7/(x^3+1)^(1/2),x, algorithm=""maxima"")","-\frac{3 \, {\left(x^{3} + 1\right)}^{\frac{3}{2}} - 5 \, \sqrt{x^{3} + 1}}{12 \, {\left(2 \, x^{3} - {\left(x^{3} + 1\right)}^{2} + 1\right)}} - \frac{1}{8} \, \log\left(\sqrt{x^{3} + 1} + 1\right) + \frac{1}{8} \, \log\left(\sqrt{x^{3} + 1} - 1\right)"," ",0,"-1/12*(3*(x^3 + 1)^(3/2) - 5*sqrt(x^3 + 1))/(2*x^3 - (x^3 + 1)^2 + 1) - 1/8*log(sqrt(x^3 + 1) + 1) + 1/8*log(sqrt(x^3 + 1) - 1)","B",0
478,1,60,0,0.320608," ","integrate((x^3+1)^(1/2)/x^7,x, algorithm=""maxima"")","\frac{{\left(x^{3} + 1\right)}^{\frac{3}{2}} + \sqrt{x^{3} + 1}}{12 \, {\left(2 \, x^{3} - {\left(x^{3} + 1\right)}^{2} + 1\right)}} + \frac{1}{24} \, \log\left(\sqrt{x^{3} + 1} + 1\right) - \frac{1}{24} \, \log\left(\sqrt{x^{3} + 1} - 1\right)"," ",0,"1/12*((x^3 + 1)^(3/2) + sqrt(x^3 + 1))/(2*x^3 - (x^3 + 1)^2 + 1) + 1/24*log(sqrt(x^3 + 1) + 1) - 1/24*log(sqrt(x^3 + 1) - 1)","B",0
479,1,60,0,0.426544," ","integrate((x^3+1)/x^7/(x^3-1)^(1/2),x, algorithm=""maxima"")","\frac{3 \, {\left(x^{3} - 1\right)}^{\frac{3}{2}} + 5 \, \sqrt{x^{3} - 1}}{12 \, {\left(2 \, x^{3} + {\left(x^{3} - 1\right)}^{2} - 1\right)}} + \frac{\sqrt{x^{3} - 1}}{3 \, x^{3}} + \frac{7}{12} \, \arctan\left(\sqrt{x^{3} - 1}\right)"," ",0,"1/12*(3*(x^3 - 1)^(3/2) + 5*sqrt(x^3 - 1))/(2*x^3 + (x^3 - 1)^2 - 1) + 1/3*sqrt(x^3 - 1)/x^3 + 7/12*arctan(sqrt(x^3 - 1))","A",0
480,0,0,0,0.000000," ","integrate((x^3-1)^(1/2)*(x^3+2)/x^2/(2*x^3-4*x^2-2),x, algorithm=""maxima"")","\frac{1}{2} \, \int \frac{{\left(x^{3} + 2\right)} \sqrt{x^{3} - 1}}{{\left(x^{3} - 2 \, x^{2} - 1\right)} x^{2}}\,{d x}"," ",0,"1/2*integrate((x^3 + 2)*sqrt(x^3 - 1)/((x^3 - 2*x^2 - 1)*x^2), x)","F",0
481,1,30,0,0.321103," ","integrate(x^5*(a*x^3+b)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(a x^{3} + b\right)}^{\frac{5}{2}}}{15 \, a^{2}} - \frac{2 \, {\left(a x^{3} + b\right)}^{\frac{3}{2}} b}{9 \, a^{2}}"," ",0,"2/15*(a*x^3 + b)^(5/2)/a^2 - 2/9*(a*x^3 + b)^(3/2)*b/a^2","A",0
482,1,34,0,0.456743," ","integrate((x^4-3)*(x^4+1)^(1/3)*(x^4+x^3+1)/x^8,x, algorithm=""maxima"")","\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
483,0,0,0,0.000000," ","integrate((x^4-3)*(x^4+1)^(2/3)*(x^4+x^3+1)/x^9,x, algorithm=""maxima"")","\frac{1}{12} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{4} + 1\right)}^{\frac{1}{3}} + 1\right)}\right) - \frac{2 \, {\left(x^{4} + 1\right)}^{\frac{5}{3}} + {\left(x^{4} + 1\right)}^{\frac{2}{3}}}{8 \, {\left(2 \, x^{4} - {\left(x^{4} + 1\right)}^{2} + 1\right)}} + \int \frac{{\left(x^{5} + x^{4} - 2 \, x - 3\right)} {\left(x^{4} + 1\right)}^{\frac{2}{3}}}{x^{6}}\,{d x} - \frac{1}{24} \, \log\left({\left(x^{4} + 1\right)}^{\frac{2}{3}} + {\left(x^{4} + 1\right)}^{\frac{1}{3}} + 1\right) + \frac{1}{12} \, \log\left({\left(x^{4} + 1\right)}^{\frac{1}{3}} - 1\right)"," ",0,"1/12*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^4 + 1)^(1/3) + 1)) - 1/8*(2*(x^4 + 1)^(5/3) + (x^4 + 1)^(2/3))/(2*x^4 - (x^4 + 1)^2 + 1) + integrate((x^5 + x^4 - 2*x - 3)*(x^4 + 1)^(2/3)/x^6, x) - 1/24*log((x^4 + 1)^(2/3) + (x^4 + 1)^(1/3) + 1) + 1/12*log((x^4 + 1)^(1/3) - 1)","F",0
484,0,0,0,0.000000," ","integrate((x^4-1)^(2/3)*(x^4+3)*(2*x^4-x^3-2)/x^9,x, algorithm=""maxima"")","-\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{4} - 1\right)}^{\frac{1}{3}} - 1\right)}\right) - \frac{2 \, {\left(x^{4} - 1\right)}^{\frac{5}{3}} - {\left(x^{4} - 1\right)}^{\frac{2}{3}}}{4 \, {\left(2 \, x^{4} + {\left(x^{4} - 1\right)}^{2} - 1\right)}} + \int \frac{{\left(2 \, x^{5} - x^{4} + 4 \, x - 3\right)} {\left(x^{2} + 1\right)}^{\frac{2}{3}} {\left(x + 1\right)}^{\frac{2}{3}} {\left(x - 1\right)}^{\frac{2}{3}}}{x^{6}}\,{d x} - \frac{1}{12} \, \log\left({\left(x^{4} - 1\right)}^{\frac{2}{3}} - {\left(x^{4} - 1\right)}^{\frac{1}{3}} + 1\right) + \frac{1}{6} \, \log\left({\left(x^{4} - 1\right)}^{\frac{1}{3}} + 1\right)"," ",0,"-1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^4 - 1)^(1/3) - 1)) - 1/4*(2*(x^4 - 1)^(5/3) - (x^4 - 1)^(2/3))/(2*x^4 + (x^4 - 1)^2 - 1) + integrate((2*x^5 - x^4 + 4*x - 3)*(x^2 + 1)^(2/3)*(x + 1)^(2/3)*(x - 1)^(2/3)/x^6, x) - 1/12*log((x^4 - 1)^(2/3) - (x^4 - 1)^(1/3) + 1) + 1/6*log((x^4 - 1)^(1/3) + 1)","F",0
485,1,46,0,0.484643," ","integrate((x^5-1)^(3/4)*(x^5+4)*(x^5-x^4-1)/x^12,x, algorithm=""maxima"")","\frac{4 \, {\left(7 \, x^{10} - 11 \, x^{9} - 14 \, x^{5} + 11 \, x^{4} + 7\right)} {\left(x^{4} + x^{3} + x^{2} + x + 1\right)}^{\frac{3}{4}} {\left(x - 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^4 + x^3 + x^2 + x + 1)^(3/4)*(x - 1)^(3/4)/x^11","A",0
486,1,50,0,0.514648," ","integrate((x^5+1)^(2/3)*(x^5+x^3+1)*(2*x^5-3)/x^9,x, algorithm=""maxima"")","\frac{3 \, {\left(5 \, x^{10} + 8 \, x^{8} + 10 \, x^{5} + 8 \, x^{3} + 5\right)} {\left(x^{4} - x^{3} + x^{2} - x + 1\right)}^{\frac{2}{3}} {\left(x + 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^4 - x^3 + x^2 - x + 1)^(2/3)*(x + 1)^(2/3)/x^8","A",0
487,1,46,0,0.513494," ","integrate((x^5-1)^(2/3)*(x^5+x^3-1)*(2*x^5+3)/x^9,x, algorithm=""maxima"")","\frac{3 \, {\left(5 \, x^{10} + 8 \, x^{8} - 10 \, x^{5} - 8 \, x^{3} + 5\right)} {\left(x^{4} + x^{3} + x^{2} + x + 1\right)}^{\frac{2}{3}} {\left(x - 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^4 + x^3 + x^2 + x + 1)^(2/3)*(x - 1)^(2/3)/x^8","A",0
488,1,50,0,0.519416," ","integrate((x^5-4)*(x^5+1)^(3/4)*(2*x^5-x^4+2)/x^12,x, algorithm=""maxima"")","\frac{4 \, {\left(14 \, x^{10} - 11 \, x^{9} + 28 \, x^{5} - 11 \, x^{4} + 14\right)} {\left(x^{4} - x^{3} + x^{2} - x + 1\right)}^{\frac{3}{4}} {\left(x + 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^4 - x^3 + x^2 - x + 1)^(3/4)*(x + 1)^(3/4)/x^11","A",0
489,1,50,0,0.499658," ","integrate((x^5+1)^(2/3)*(2*x^5-3)*(4*x^5+3*x^3+4)/x^9,x, algorithm=""maxima"")","\frac{3 \, {\left(5 \, x^{10} + 6 \, x^{8} + 10 \, x^{5} + 6 \, x^{3} + 5\right)} {\left(x^{4} - x^{3} + x^{2} - x + 1\right)}^{\frac{2}{3}} {\left(x + 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^4 - x^3 + x^2 - x + 1)^(2/3)*(x + 1)^(2/3)/x^8","A",0
490,1,48,0,0.441975," ","integrate(1/x^13/(x^6-1)^(1/2),x, algorithm=""maxima"")","\frac{3 \, {\left(x^{6} - 1\right)}^{\frac{3}{2}} + 5 \, \sqrt{x^{6} - 1}}{24 \, {\left(2 \, x^{6} + {\left(x^{6} - 1\right)}^{2} - 1\right)}} + \frac{1}{8} \, \arctan\left(\sqrt{x^{6} - 1}\right)"," ",0,"1/24*(3*(x^6 - 1)^(3/2) + 5*sqrt(x^6 - 1))/(2*x^6 + (x^6 - 1)^2 - 1) + 1/8*arctan(sqrt(x^6 - 1))","A",0
491,1,76,0,0.435622," ","integrate((x^6-1)/x^13/(x^6+1)^(1/2),x, algorithm=""maxima"")","\frac{3 \, {\left(x^{6} + 1\right)}^{\frac{3}{2}} - 5 \, \sqrt{x^{6} + 1}}{24 \, {\left(2 \, x^{6} - {\left(x^{6} + 1\right)}^{2} + 1\right)}} - \frac{\sqrt{x^{6} + 1}}{6 \, x^{6}} + \frac{7}{48} \, \log\left(\sqrt{x^{6} + 1} + 1\right) - \frac{7}{48} \, \log\left(\sqrt{x^{6} + 1} - 1\right)"," ",0,"1/24*(3*(x^6 + 1)^(3/2) - 5*sqrt(x^6 + 1))/(2*x^6 - (x^6 + 1)^2 + 1) - 1/6*sqrt(x^6 + 1)/x^6 + 7/48*log(sqrt(x^6 + 1) + 1) - 7/48*log(sqrt(x^6 + 1) - 1)","B",0
492,1,60,0,0.355078," ","integrate((x^6+1)^(1/2)/x^13,x, algorithm=""maxima"")","\frac{{\left(x^{6} + 1\right)}^{\frac{3}{2}} + \sqrt{x^{6} + 1}}{24 \, {\left(2 \, x^{6} - {\left(x^{6} + 1\right)}^{2} + 1\right)}} + \frac{1}{48} \, \log\left(\sqrt{x^{6} + 1} + 1\right) - \frac{1}{48} \, \log\left(\sqrt{x^{6} + 1} - 1\right)"," ",0,"1/24*((x^6 + 1)^(3/2) + sqrt(x^6 + 1))/(2*x^6 - (x^6 + 1)^2 + 1) + 1/48*log(sqrt(x^6 + 1) + 1) - 1/48*log(sqrt(x^6 + 1) - 1)","B",0
493,1,60,0,0.605942," ","integrate((x^6+1)/x^13/(x^6-1)^(1/2),x, algorithm=""maxima"")","\frac{3 \, {\left(x^{6} - 1\right)}^{\frac{3}{2}} + 5 \, \sqrt{x^{6} - 1}}{24 \, {\left(2 \, x^{6} + {\left(x^{6} - 1\right)}^{2} - 1\right)}} + \frac{\sqrt{x^{6} - 1}}{6 \, x^{6}} + \frac{7}{24} \, \arctan\left(\sqrt{x^{6} - 1}\right)"," ",0,"1/24*(3*(x^6 - 1)^(3/2) + 5*sqrt(x^6 - 1))/(2*x^6 + (x^6 - 1)^2 - 1) + 1/6*sqrt(x^6 - 1)/x^6 + 7/24*arctan(sqrt(x^6 - 1))","A",0
494,1,55,0,0.818507," ","integrate((x^6-1)^(1/3)*(x^6+1)*(x^6+x^3-1)/x^8,x, algorithm=""maxima"")","\frac{{\left(4 \, x^{12} + 7 \, x^{9} - 8 \, x^{6} - 7 \, x^{3} + 4\right)} {\left(x^{2} + x + 1\right)}^{\frac{1}{3}} {\left(x^{2} - x + 1\right)}^{\frac{1}{3}} {\left(x + 1\right)}^{\frac{1}{3}} {\left(x - 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^2 + x + 1)^(1/3)*(x^2 - x + 1)^(1/3)*(x + 1)^(1/3)*(x - 1)^(1/3)/x^7","A",0
495,1,55,0,0.768424," ","integrate((x^6-1)^(3/4)*(x^6+2)*(x^6-x^4-1)/x^12,x, algorithm=""maxima"")","\frac{2 \, {\left(7 \, x^{12} - 11 \, x^{10} - 14 \, x^{6} + 11 \, x^{4} + 7\right)} {\left(x^{2} + x + 1\right)}^{\frac{3}{4}} {\left(x^{2} - x + 1\right)}^{\frac{3}{4}} {\left(x + 1\right)}^{\frac{3}{4}} {\left(x - 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^2 + x + 1)^(3/4)*(x^2 - x + 1)^(3/4)*(x + 1)^(3/4)*(x - 1)^(3/4)/x^11","A",0
496,1,46,0,0.773180," ","integrate((x^6-2)*(x^6+1)^(3/4)*(x^6-x^4+1)/x^12,x, algorithm=""maxima"")","\frac{2 \, {\left(7 \, x^{12} - 11 \, x^{10} + 14 \, x^{6} - 11 \, x^{4} + 7\right)} {\left(x^{4} - x^{2} + 1\right)}^{\frac{3}{4}} {\left(x^{2} + 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^4 - x^2 + 1)^(3/4)*(x^2 + 1)^(3/4)/x^11","A",0
497,0,0,0,0.000000," ","integrate((3*x^2-2*x)/(x^6-2*x^5+x^4+4*x^3-4*x^2+5)^(1/2),x, algorithm=""maxima"")","\int \frac{3 \, x^{2} - 2 \, x}{\sqrt{x^{6} - 2 \, x^{5} + x^{4} + 4 \, x^{3} - 4 \, x^{2} + 5}}\,{d x}"," ",0,"integrate((3*x^2 - 2*x)/sqrt(x^6 - 2*x^5 + x^4 + 4*x^3 - 4*x^2 + 5), x)","F",0
498,0,0,0,0.000000," ","integrate((5*x^6-2)/x/(x^6-1)^(1/2)/(x^6+2),x, algorithm=""maxima"")","\int \frac{5 \, x^{6} - 2}{{\left(x^{6} + 2\right)} \sqrt{x^{6} - 1} x}\,{d x}"," ",0,"integrate((5*x^6 - 2)/((x^6 + 2)*sqrt(x^6 - 1)*x), x)","F",0
499,0,0,0,0.000000," ","integrate((10*x^6-1)/x/(x^6-1)^(1/2)/(4*x^6-1),x, algorithm=""maxima"")","\int \frac{10 \, x^{6} - 1}{{\left(4 \, x^{6} - 1\right)} \sqrt{x^{6} - 1} x}\,{d x}"," ",0,"integrate((10*x^6 - 1)/((4*x^6 - 1)*sqrt(x^6 - 1)*x), x)","F",0
500,0,0,0,0.000000," ","integrate((x^2+x+2)/x^2/(x^2+1)^(3/4),x, algorithm=""maxima"")","\int \frac{x^{2} + x + 2}{{\left(x^{2} + 1\right)}^{\frac{3}{4}} x^{2}}\,{d x}"," ",0,"integrate((x^2 + x + 2)/((x^2 + 1)^(3/4)*x^2), x)","F",0
501,0,0,0,0.000000," ","integrate((-3+2*x)/(x^2-x)^(1/4)/(x^3-x+1),x, algorithm=""maxima"")","\int \frac{2 \, x - 3}{{\left(x^{3} - x + 1\right)} {\left(x^{2} - x\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((2*x - 3)/((x^3 - x + 1)*(x^2 - x)^(1/4)), x)","F",0
502,0,0,0,0.000000," ","integrate((x^2-1)*(x^3+x)^(1/2)/(x^2+1)/(x^2+x+1)^2,x, algorithm=""maxima"")","\int \frac{\sqrt{x^{3} + x} {\left(x^{2} - 1\right)}}{{\left(x^{2} + x + 1\right)}^{2} {\left(x^{2} + 1\right)}}\,{d x}"," ",0,"integrate(sqrt(x^3 + x)*(x^2 - 1)/((x^2 + x + 1)^2*(x^2 + 1)), x)","F",0
503,0,0,0,0.000000," ","integrate((x^3-2)*(2*x^3+x^2+2)^(1/2)/(x^3+1)/(x^3+x^2+1),x, algorithm=""maxima"")","\int \frac{\sqrt{2 \, x^{3} + x^{2} + 2} {\left(x^{3} - 2\right)}}{{\left(x^{3} + x^{2} + 1\right)} {\left(x^{3} + 1\right)}}\,{d x}"," ",0,"integrate(sqrt(2*x^3 + x^2 + 2)*(x^3 - 2)/((x^3 + x^2 + 1)*(x^3 + 1)), x)","F",0
504,0,0,0,0.000000," ","integrate((a*x^2+b)/(a*x^2+c*x-b)/(a*x^3-b*x)^(1/2),x, algorithm=""maxima"")","\int \frac{a x^{2} + b}{\sqrt{a x^{3} - b x} {\left(a x^{2} + c x - b\right)}}\,{d x}"," ",0,"integrate((a*x^2 + b)/(sqrt(a*x^3 - b*x)*(a*x^2 + c*x - b)), x)","F",0
505,1,58,0,0.317060," ","integrate(x*(x^4-1)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{x^{4} - 1}}{4 \, x^{2} {\left(\frac{x^{4} - 1}{x^{4}} - 1\right)}} - \frac{1}{8} \, \log\left(\frac{\sqrt{x^{4} - 1}}{x^{2}} + 1\right) + \frac{1}{8} \, \log\left(\frac{\sqrt{x^{4} - 1}}{x^{2}} - 1\right)"," ",0,"-1/4*sqrt(x^4 - 1)/(x^2*((x^4 - 1)/x^4 - 1)) - 1/8*log(sqrt(x^4 - 1)/x^2 + 1) + 1/8*log(sqrt(x^4 - 1)/x^2 - 1)","A",0
506,0,0,0,0.000000," ","integrate((x^4-x)^(1/2)/x^3,x, algorithm=""maxima"")","\int \frac{\sqrt{x^{4} - x}}{x^{3}}\,{d x}"," ",0,"integrate(sqrt(x^4 - x)/x^3, x)","F",0
507,0,0,0,0.000000," ","integrate(x^3*(x^4+x)^(1/2),x, algorithm=""maxima"")","\int \sqrt{x^{4} + x} x^{3}\,{d x}"," ",0,"integrate(sqrt(x^4 + x)*x^3, x)","F",0
508,0,0,0,0.000000," ","integrate((1+x)/(x^4+4*x^3+13*x^2+18*x+16)^(1/2),x, algorithm=""maxima"")","\int \frac{x + 1}{\sqrt{x^{4} + 4 \, x^{3} + 13 \, x^{2} + 18 \, x + 16}}\,{d x}"," ",0,"integrate((x + 1)/sqrt(x^4 + 4*x^3 + 13*x^2 + 18*x + 16), x)","F",0
509,0,0,0,0.000000," ","integrate((x^5-1)^(1/2)*(3*x^5+2)/x^2/(x^5-a*x^2-1),x, algorithm=""maxima"")","\int \frac{{\left(3 \, x^{5} + 2\right)} \sqrt{x^{5} - 1}}{{\left(x^{5} - a x^{2} - 1\right)} x^{2}}\,{d x}"," ",0,"integrate((3*x^5 + 2)*sqrt(x^5 - 1)/((x^5 - a*x^2 - 1)*x^2), x)","F",0
510,0,0,0,0.000000," ","integrate(x*(x^6-x)^(1/2),x, algorithm=""maxima"")","\int \sqrt{x^{6} - x} x\,{d x}"," ",0,"integrate(sqrt(x^6 - x)*x, x)","F",0
511,0,0,0,0.000000," ","integrate((x^5+1)*(4*x^5-1)/x/(x^5-a*x+1)/(x^6+x)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(4 \, x^{5} - 1\right)} {\left(x^{5} + 1\right)}}{\sqrt{x^{6} + x} {\left(x^{5} - a x + 1\right)} x}\,{d x}"," ",0,"integrate((4*x^5 - 1)*(x^5 + 1)/(sqrt(x^6 + x)*(x^5 - a*x + 1)*x), x)","F",0
512,0,0,0,0.000000," ","integrate(1/(x-(x^2-1)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x - \sqrt{x^{2} - 1}}}\,{d x}"," ",0,"integrate(1/sqrt(x - sqrt(x^2 - 1)), x)","F",0
513,0,0,0,0.000000," ","integrate((x^2+1)/(x^2+2*x-1)/(x^3-x^2-x)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} + 1}{\sqrt{x^{3} - x^{2} - x} {\left(x^{2} + 2 \, x - 1\right)}}\,{d x}"," ",0,"integrate((x^2 + 1)/(sqrt(x^3 - x^2 - x)*(x^2 + 2*x - 1)), x)","F",0
514,0,0,0,0.000000," ","integrate((x^3+2)*(x^3+x^2-1)^(1/2)/(x^3-1)^2,x, algorithm=""maxima"")","\int \frac{\sqrt{x^{3} + x^{2} - 1} {\left(x^{3} + 2\right)}}{{\left(x^{3} - 1\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(x^3 + x^2 - 1)*(x^3 + 2)/(x^3 - 1)^2, x)","F",0
515,0,0,0,0.000000," ","integrate((x^2+2)/(x^2-2)/(x^3+2*x^2-2*x)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} + 2}{\sqrt{x^{3} + 2 \, x^{2} - 2 \, x} {\left(x^{2} - 2\right)}}\,{d x}"," ",0,"integrate((x^2 + 2)/(sqrt(x^3 + 2*x^2 - 2*x)*(x^2 - 2)), x)","F",0
516,0,0,0,0.000000," ","integrate((2+x)/(-1+x)/(a*x^2+x^3+3*x-1)^(1/2),x, algorithm=""maxima"")","\int \frac{x + 2}{\sqrt{a x^{2} + x^{3} + 3 \, x - 1} {\left(x - 1\right)}}\,{d x}"," ",0,"integrate((x + 2)/(sqrt(a*x^2 + x^3 + 3*x - 1)*(x - 1)), x)","F",0
517,0,0,0,0.000000," ","integrate((-2+x)/(1+x)/(a*x^2+x^3+3*x+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x - 2}{\sqrt{a x^{2} + x^{3} + 3 \, x + 1} {\left(x + 1\right)}}\,{d x}"," ",0,"integrate((x - 2)/(sqrt(a*x^2 + x^3 + 3*x + 1)*(x + 1)), x)","F",0
518,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(3 \, a b - 2 \, {\left(a + b\right)} x + x^{2}\right)} x}{{\left(a b d - {\left(a + b\right)} d x + d x^{2} - x^{3}\right)} \sqrt{{\left(a - x\right)} {\left(b - x\right)} x}}\,{d x}"," ",0,"-integrate((3*a*b - 2*(a + b)*x + x^2)*x/((a*b*d - (a + b)*d*x + d*x^2 - x^3)*sqrt((a - x)*(b - x)*x)), x)","F",0
519,0,0,0,0.000000," ","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=""maxima"")","\int \frac{3 \, a b x - 2 \, {\left(a + b\right)} x^{2} + x^{3}}{{\left(d x^{3} - a b + {\left(a + b\right)} x - x^{2}\right)} \sqrt{{\left(a - x\right)} {\left(b - x\right)} x}}\,{d x}"," ",0,"integrate((3*a*b*x - 2*(a + b)*x^2 + x^3)/((d*x^3 - a*b + (a + b)*x - x^2)*sqrt((a - x)*(b - x)*x)), x)","F",0
520,1,34,0,0.574980," ","integrate((x^2-1)*((x^2+1)^2)^(1/2)/(x^2+1)/(x^4+1),x, algorithm=""maxima"")","-\frac{1}{4} \, \sqrt{2} \log\left(x^{2} + \sqrt{2} x + 1\right) + \frac{1}{4} \, \sqrt{2} \log\left(x^{2} - \sqrt{2} x + 1\right)"," ",0,"-1/4*sqrt(2)*log(x^2 + sqrt(2)*x + 1) + 1/4*sqrt(2)*log(x^2 - sqrt(2)*x + 1)","A",0
521,0,0,0,0.000000," ","integrate((-1+x)/(x^4-12*x^3+14*x^2+4*x-7)^(1/2),x, algorithm=""maxima"")","\int \frac{x - 1}{\sqrt{x^{4} - 12 \, x^{3} + 14 \, x^{2} + 4 \, x - 7}}\,{d x}"," ",0,"integrate((x - 1)/sqrt(x^4 - 12*x^3 + 14*x^2 + 4*x - 7), x)","F",0
522,1,34,0,0.695029," ","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=""maxima"")","-\frac{x^{2} - 1}{\sqrt{k x + 1} \sqrt{k x - 1} \sqrt{x + 1} \sqrt{x - 1} x}"," ",0,"-(x^2 - 1)/(sqrt(k*x + 1)*sqrt(k*x - 1)*sqrt(x + 1)*sqrt(x - 1)*x)","A",0
523,0,0,0,0.000000," ","integrate((x^6-2)/x/(x^6-1)^(1/2)/(x^6+2),x, algorithm=""maxima"")","\int \frac{x^{6} - 2}{{\left(x^{6} + 2\right)} \sqrt{x^{6} - 1} x}\,{d x}"," ",0,"integrate((x^6 - 2)/((x^6 + 2)*sqrt(x^6 - 1)*x), x)","F",0
524,1,52,0,0.462211," ","integrate((x^3+2)*(x^6+x^3+1)/x/(x^3+1)^(1/2),x, algorithm=""maxima"")","\frac{2}{15} \, {\left(x^{3} + 1\right)}^{\frac{5}{2}} + \frac{2}{9} \, {\left(x^{3} + 1\right)}^{\frac{3}{2}} + \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,"2/15*(x^3 + 1)^(5/2) + 2/9*(x^3 + 1)^(3/2) + 2/3*sqrt(x^3 + 1) - 2/3*log(sqrt(x^3 + 1) + 1) + 2/3*log(sqrt(x^3 + 1) - 1)","A",0
525,0,0,0,0.000000," ","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=""maxima"")","\int \frac{3 \, x^{2} + 4 \, x}{\sqrt{x^{6} + 4 \, x^{5} + 4 \, x^{4} + 2 \, x^{3} + 4 \, x^{2} - 5}}\,{d x}"," ",0,"integrate((3*x^2 + 4*x)/sqrt(x^6 + 4*x^5 + 4*x^4 + 2*x^3 + 4*x^2 - 5), x)","F",0
526,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(3 \, p x^{5} - 2 \, q\right)} \sqrt{p x^{5} + q} x^{2}}{b x^{6} + {\left(p x^{5} + q\right)}^{3} a}\,{d x}"," ",0,"integrate((3*p*x^5 - 2*q)*sqrt(p*x^5 + q)*x^2/(b*x^6 + (p*x^5 + q)^3*a), x)","F",0
527,1,53,0,0.464184," ","integrate(x^8/(a*x^3-b)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(a x^{3} - b\right)}^{\frac{5}{2}}}{15 \, a^{3}} + \frac{4 \, {\left(a x^{3} - b\right)}^{\frac{3}{2}} b}{9 \, a^{3}} + \frac{2 \, \sqrt{a x^{3} - b} b^{2}}{3 \, a^{3}}"," ",0,"2/15*(a*x^3 - b)^(5/2)/a^3 + 4/9*(a*x^3 - b)^(3/2)*b/a^3 + 2/3*sqrt(a*x^3 - b)*b^2/a^3","A",0
528,1,34,0,0.401768," ","integrate(x^5*(a*x^3-b)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(a x^{3} - b\right)}^{\frac{5}{2}}}{15 \, a^{2}} + \frac{2 \, {\left(a x^{3} - b\right)}^{\frac{3}{2}} b}{9 \, a^{2}}"," ",0,"2/15*(a*x^3 - b)^(5/2)/a^2 + 2/9*(a*x^3 - b)^(3/2)*b/a^2","A",0
529,0,0,0,0.000000," ","integrate((a*x^3+2*b)/(a*x^3-b)^(1/2)/(2*a*x^3-3*x^2-2*b),x, algorithm=""maxima"")","\int \frac{a x^{3} + 2 \, b}{{\left(2 \, a x^{3} - 3 \, x^{2} - 2 \, b\right)} \sqrt{a x^{3} - b}}\,{d x}"," ",0,"integrate((a*x^3 + 2*b)/((2*a*x^3 - 3*x^2 - 2*b)*sqrt(a*x^3 - b)), x)","F",0
530,0,0,0,0.000000," ","integrate((x^4-1)*(x^4+1)^(1/2)*(x^4+x^2+1)/x^4/(x^4-x^2+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + x^{2} + 1\right)} \sqrt{x^{4} + 1} {\left(x^{4} - 1\right)}}{{\left(x^{4} - x^{2} + 1\right)} x^{4}}\,{d x}"," ",0,"integrate((x^4 + x^2 + 1)*sqrt(x^4 + 1)*(x^4 - 1)/((x^4 - x^2 + 1)*x^4), x)","F",0
531,0,0,0,0.000000," ","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=""maxima"")","\int \frac{2 \, a x^{2} + 3 \, b x + 4 \, c}{{\left(x^{4} - a x^{2} - b x - c\right)} {\left(a x^{2} + b x + c\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((2*a*x^2 + 3*b*x + 4*c)/((x^4 - a*x^2 - b*x - c)*(a*x^2 + b*x + c)^(1/4)), x)","F",0
532,1,55,0,0.672817," ","integrate((x^3+2)*(x^6+x^3+1)/x^4/(x^3+1)^(1/2),x, algorithm=""maxima"")","\frac{2}{9} \, {\left(x^{3} + 1\right)}^{\frac{3}{2}} + \frac{4}{3} \, \sqrt{x^{3} + 1} - \frac{2 \, \sqrt{x^{3} + 1}}{3 \, x^{3}} - \frac{2}{3} \, \log\left(\sqrt{x^{3} + 1} + 1\right) + \frac{2}{3} \, \log\left(\sqrt{x^{3} + 1} - 1\right)"," ",0,"2/9*(x^3 + 1)^(3/2) + 4/3*sqrt(x^3 + 1) - 2/3*sqrt(x^3 + 1)/x^3 - 2/3*log(sqrt(x^3 + 1) + 1) + 2/3*log(sqrt(x^3 + 1) - 1)","A",0
533,1,113,0,0.681971," ","integrate((x^3-1)^(1/2)*(2*x^6+x^3-2)/x^10,x, algorithm=""maxima"")","-\frac{3 \, {\left(x^{3} - 1\right)}^{\frac{5}{2}} + 8 \, {\left(x^{3} - 1\right)}^{\frac{3}{2}} - 3 \, \sqrt{x^{3} - 1}}{36 \, {\left({\left(x^{3} - 1\right)}^{3} + 3 \, x^{3} + 3 \, {\left(x^{3} - 1\right)}^{2} - 2\right)}} + \frac{{\left(x^{3} - 1\right)}^{\frac{3}{2}} - \sqrt{x^{3} - 1}}{12 \, {\left(2 \, x^{3} + {\left(x^{3} - 1\right)}^{2} - 1\right)}} - \frac{2 \, \sqrt{x^{3} - 1}}{3 \, x^{3}} + \frac{2}{3} \, \arctan\left(\sqrt{x^{3} - 1}\right)"," ",0,"-1/36*(3*(x^3 - 1)^(5/2) + 8*(x^3 - 1)^(3/2) - 3*sqrt(x^3 - 1))/((x^3 - 1)^3 + 3*x^3 + 3*(x^3 - 1)^2 - 2) + 1/12*((x^3 - 1)^(3/2) - sqrt(x^3 - 1))/(2*x^3 + (x^3 - 1)^2 - 1) - 2/3*sqrt(x^3 - 1)/x^3 + 2/3*arctan(sqrt(x^3 - 1))","B",0
534,0,0,0,0.000000," ","integrate((13*x^6-4)/x/(x^6-1)^(1/2)/(4*x^6-1),x, algorithm=""maxima"")","\int \frac{13 \, x^{6} - 4}{{\left(4 \, x^{6} - 1\right)} \sqrt{x^{6} - 1} x}\,{d x}"," ",0,"integrate((13*x^6 - 4)/((4*x^6 - 1)*sqrt(x^6 - 1)*x), x)","F",0
535,0,0,0,0.000000," ","integrate((2*a*x^3-b)/(a*x^3+b-x)/(a*x^6+b*x^3)^(1/4),x, algorithm=""maxima"")","\int \frac{2 \, a x^{3} - b}{{\left(a x^{6} + b x^{3}\right)}^{\frac{1}{4}} {\left(a x^{3} + b - x\right)}}\,{d x}"," ",0,"integrate((2*a*x^3 - b)/((a*x^6 + b*x^3)^(1/4)*(a*x^3 + b - x)), x)","F",0
536,0,0,0,0.000000," ","integrate(x^3*(2*a*x^5+b)/(a*x^6+b*x)^(1/4)/(a*x^10+b*x^5-1),x, algorithm=""maxima"")","\int \frac{{\left(2 \, a x^{5} + b\right)} x^{3}}{{\left(a x^{10} + b x^{5} - 1\right)} {\left(a x^{6} + b x\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((2*a*x^5 + b)*x^3/((a*x^10 + b*x^5 - 1)*(a*x^6 + b*x)^(1/4)), x)","F",0
537,1,44,0,0.588282," ","integrate((x^3+1)^(1/4)/x,x, algorithm=""maxima"")","\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
538,0,0,0,0.000000," ","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=""maxima"")","\int \frac{a p x^{3} + 3 \, b p x^{2} - 2 \, a q}{{\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}}\,{d x}"," ",0,"integrate((a*p*x^3 + 3*b*p*x^2 - 2*a*q)/((a^2*c*x^2 + d*p*x^3 + 2*a*b*c*x + b^2*c + d*q)*sqrt(p*x^3 + q)), x)","F",0
539,0,0,0,0.000000," ","integrate((x^3-1)*(x^6-1)^(1/2)/x^7/(x^3+1),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{6} - 1} {\left(x^{3} - 1\right)}}{{\left(x^{3} + 1\right)} x^{7}}\,{d x}"," ",0,"integrate(sqrt(x^6 - 1)*(x^3 - 1)/((x^3 + 1)*x^7), x)","F",0
540,0,0,0,0.000000," ","integrate((x^3+1)*(x^6-1)^(1/2)/x^7/(x^3-1),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{6} - 1} {\left(x^{3} + 1\right)}}{{\left(x^{3} - 1\right)} x^{7}}\,{d x}"," ",0,"integrate(sqrt(x^6 - 1)*(x^3 + 1)/((x^3 - 1)*x^7), x)","F",0
541,1,44,0,0.560483," ","integrate((x^6+1)^(1/4)/x,x, algorithm=""maxima"")","\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
542,1,70,0,0.544223," ","integrate((x^12+1)/x^4/(x^6-1)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{x^{6} - 1}}{3 \, x^{3}} - \frac{\sqrt{x^{6} - 1}}{6 \, x^{3} {\left(\frac{x^{6} - 1}{x^{6}} - 1\right)}} + \frac{1}{12} \, \log\left(\frac{\sqrt{x^{6} - 1}}{x^{3}} + 1\right) - \frac{1}{12} \, \log\left(\frac{\sqrt{x^{6} - 1}}{x^{3}} - 1\right)"," ",0,"1/3*sqrt(x^6 - 1)/x^3 - 1/6*sqrt(x^6 - 1)/(x^3*((x^6 - 1)/x^6 - 1)) + 1/12*log(sqrt(x^6 - 1)/x^3 + 1) - 1/12*log(sqrt(x^6 - 1)/x^3 - 1)","B",0
543,1,80,0,0.398502," ","integrate(1/x^10/(x^3+1)^(1/2),x, algorithm=""maxima"")","-\frac{15 \, {\left(x^{3} + 1\right)}^{\frac{5}{2}} - 40 \, {\left(x^{3} + 1\right)}^{\frac{3}{2}} + 33 \, \sqrt{x^{3} + 1}}{72 \, {\left({\left(x^{3} + 1\right)}^{3} + 3 \, x^{3} - 3 \, {\left(x^{3} + 1\right)}^{2} + 2\right)}} + \frac{5}{48} \, \log\left(\sqrt{x^{3} + 1} + 1\right) - \frac{5}{48} \, \log\left(\sqrt{x^{3} + 1} - 1\right)"," ",0,"-1/72*(15*(x^3 + 1)^(5/2) - 40*(x^3 + 1)^(3/2) + 33*sqrt(x^3 + 1))/((x^3 + 1)^3 + 3*x^3 - 3*(x^3 + 1)^2 + 2) + 5/48*log(sqrt(x^3 + 1) + 1) - 5/48*log(sqrt(x^3 + 1) - 1)","B",0
544,0,0,0,0.000000," ","integrate((x^3-1)/x^6/(x^3+x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{x^{3} - 1}{{\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x^{6}}\,{d x}"," ",0,"integrate((x^3 - 1)/((x^3 + x^2)^(1/3)*x^6), x)","F",0
545,0,0,0,0.000000," ","integrate((x^3-2)*(x^3+1)^(1/2)*(2*x^3+x^2+2)/x^4/(x^3+x^2+1),x, algorithm=""maxima"")","\int \frac{{\left(2 \, x^{3} + x^{2} + 2\right)} \sqrt{x^{3} + 1} {\left(x^{3} - 2\right)}}{{\left(x^{3} + x^{2} + 1\right)} x^{4}}\,{d x}"," ",0,"integrate((2*x^3 + x^2 + 2)*sqrt(x^3 + 1)*(x^3 - 2)/((x^3 + x^2 + 1)*x^4), x)","F",0
546,0,0,0,0.000000," ","integrate((x^4-1)*(x^4+x^2+1)^(1/2)/(x^4+1)/(x^4-x^2+1),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{4} + x^{2} + 1} {\left(x^{4} - 1\right)}}{{\left(x^{4} - x^{2} + 1\right)} {\left(x^{4} + 1\right)}}\,{d x}"," ",0,"integrate(sqrt(x^4 + x^2 + 1)*(x^4 - 1)/((x^4 - x^2 + 1)*(x^4 + 1)), x)","F",0
547,0,0,0,0.000000," ","integrate((x^4+x^2+x+1)^(1/2)*(2*x^4-x-2)/(x^4+x+1)^2,x, algorithm=""maxima"")","\int \frac{{\left(2 \, x^{4} - x - 2\right)} \sqrt{x^{4} + x^{2} + x + 1}}{{\left(x^{4} + x + 1\right)}^{2}}\,{d x}"," ",0,"integrate((2*x^4 - x - 2)*sqrt(x^4 + x^2 + x + 1)/(x^4 + x + 1)^2, x)","F",0
548,0,0,0,0.000000," ","integrate((x^4-1)*(3*x^4+1)/x/(x^4-a*x-1)/(x^5-x)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(3 \, x^{4} + 1\right)} {\left(x^{4} - 1\right)}}{\sqrt{x^{5} - x} {\left(x^{4} - a x - 1\right)} x}\,{d x}"," ",0,"integrate((3*x^4 + 1)*(x^4 - 1)/(sqrt(x^5 - x)*(x^4 - a*x - 1)*x), x)","F",0
549,1,66,0,0.420439," ","integrate(1/x^19/(x^6-1)^(1/2),x, algorithm=""maxima"")","\frac{15 \, {\left(x^{6} - 1\right)}^{\frac{5}{2}} + 40 \, {\left(x^{6} - 1\right)}^{\frac{3}{2}} + 33 \, \sqrt{x^{6} - 1}}{144 \, {\left(3 \, x^{6} + {\left(x^{6} - 1\right)}^{3} + 3 \, {\left(x^{6} - 1\right)}^{2} - 2\right)}} + \frac{5}{48} \, \arctan\left(\sqrt{x^{6} - 1}\right)"," ",0,"1/144*(15*(x^6 - 1)^(5/2) + 40*(x^6 - 1)^(3/2) + 33*sqrt(x^6 - 1))/(3*x^6 + (x^6 - 1)^3 + 3*(x^6 - 1)^2 - 2) + 5/48*arctan(sqrt(x^6 - 1))","A",0
550,1,86,0,0.328998," ","integrate(x^14/(x^6-1)^(1/2),x, algorithm=""maxima"")","-\frac{\frac{5 \, \sqrt{x^{6} - 1}}{x^{3}} - \frac{3 \, {\left(x^{6} - 1\right)}^{\frac{3}{2}}}{x^{9}}}{24 \, {\left(\frac{2 \, {\left(x^{6} - 1\right)}}{x^{6}} - \frac{{\left(x^{6} - 1\right)}^{2}}{x^{12}} - 1\right)}} + \frac{1}{16} \, \log\left(\frac{\sqrt{x^{6} - 1}}{x^{3}} + 1\right) - \frac{1}{16} \, \log\left(\frac{\sqrt{x^{6} - 1}}{x^{3}} - 1\right)"," ",0,"-1/24*(5*sqrt(x^6 - 1)/x^3 - 3*(x^6 - 1)^(3/2)/x^9)/(2*(x^6 - 1)/x^6 - (x^6 - 1)^2/x^12 - 1) + 1/16*log(sqrt(x^6 - 1)/x^3 + 1) - 1/16*log(sqrt(x^6 - 1)/x^3 - 1)","B",0
551,1,66,0,0.492456," ","integrate((x^6-1)^(1/2)/x^19,x, algorithm=""maxima"")","\frac{3 \, {\left(x^{6} - 1\right)}^{\frac{5}{2}} + 8 \, {\left(x^{6} - 1\right)}^{\frac{3}{2}} - 3 \, \sqrt{x^{6} - 1}}{144 \, {\left(3 \, x^{6} + {\left(x^{6} - 1\right)}^{3} + 3 \, {\left(x^{6} - 1\right)}^{2} - 2\right)}} + \frac{1}{48} \, \arctan\left(\sqrt{x^{6} - 1}\right)"," ",0,"1/144*(3*(x^6 - 1)^(5/2) + 8*(x^6 - 1)^(3/2) - 3*sqrt(x^6 - 1))/(3*x^6 + (x^6 - 1)^3 + 3*(x^6 - 1)^2 - 2) + 1/48*arctan(sqrt(x^6 - 1))","A",0
552,1,84,0,0.344858," ","integrate(x^8*(x^6-1)^(1/2),x, algorithm=""maxima"")","-\frac{\frac{\sqrt{x^{6} - 1}}{x^{3}} + \frac{{\left(x^{6} - 1\right)}^{\frac{3}{2}}}{x^{9}}}{24 \, {\left(\frac{2 \, {\left(x^{6} - 1\right)}}{x^{6}} - \frac{{\left(x^{6} - 1\right)}^{2}}{x^{12}} - 1\right)}} - \frac{1}{48} \, \log\left(\frac{\sqrt{x^{6} - 1}}{x^{3}} + 1\right) + \frac{1}{48} \, \log\left(\frac{\sqrt{x^{6} - 1}}{x^{3}} - 1\right)"," ",0,"-1/24*(sqrt(x^6 - 1)/x^3 + (x^6 - 1)^(3/2)/x^9)/(2*(x^6 - 1)/x^6 - (x^6 - 1)^2/x^12 - 1) - 1/48*log(sqrt(x^6 - 1)/x^3 + 1) + 1/48*log(sqrt(x^6 - 1)/x^3 - 1)","B",0
553,0,0,0,0.000000," ","integrate((x^6-1)/(x^4+1)^(1/2)/(x^6+1),x, algorithm=""maxima"")","\int \frac{x^{6} - 1}{{\left(x^{6} + 1\right)} \sqrt{x^{4} + 1}}\,{d x}"," ",0,"integrate((x^6 - 1)/((x^6 + 1)*sqrt(x^4 + 1)), x)","F",0
554,1,86,0,0.316907," ","integrate(x^14/(x^6+1)^(1/2),x, algorithm=""maxima"")","-\frac{\frac{5 \, \sqrt{x^{6} + 1}}{x^{3}} - \frac{3 \, {\left(x^{6} + 1\right)}^{\frac{3}{2}}}{x^{9}}}{24 \, {\left(\frac{2 \, {\left(x^{6} + 1\right)}}{x^{6}} - \frac{{\left(x^{6} + 1\right)}^{2}}{x^{12}} - 1\right)}} + \frac{1}{16} \, \log\left(\frac{\sqrt{x^{6} + 1}}{x^{3}} + 1\right) - \frac{1}{16} \, \log\left(\frac{\sqrt{x^{6} + 1}}{x^{3}} - 1\right)"," ",0,"-1/24*(5*sqrt(x^6 + 1)/x^3 - 3*(x^6 + 1)^(3/2)/x^9)/(2*(x^6 + 1)/x^6 - (x^6 + 1)^2/x^12 - 1) + 1/16*log(sqrt(x^6 + 1)/x^3 + 1) - 1/16*log(sqrt(x^6 + 1)/x^3 - 1)","B",0
555,1,119,0,0.489436," ","integrate((x^6-1)/x^19/(x^6+1)^(1/2),x, algorithm=""maxima"")","\frac{15 \, {\left(x^{6} + 1\right)}^{\frac{5}{2}} - 40 \, {\left(x^{6} + 1\right)}^{\frac{3}{2}} + 33 \, \sqrt{x^{6} + 1}}{144 \, {\left(3 \, x^{6} + {\left(x^{6} + 1\right)}^{3} - 3 \, {\left(x^{6} + 1\right)}^{2} + 2\right)}} - \frac{3 \, {\left(x^{6} + 1\right)}^{\frac{3}{2}} - 5 \, \sqrt{x^{6} + 1}}{24 \, {\left(2 \, x^{6} - {\left(x^{6} + 1\right)}^{2} + 1\right)}} - \frac{11}{96} \, \log\left(\sqrt{x^{6} + 1} + 1\right) + \frac{11}{96} \, \log\left(\sqrt{x^{6} + 1} - 1\right)"," ",0,"1/144*(15*(x^6 + 1)^(5/2) - 40*(x^6 + 1)^(3/2) + 33*sqrt(x^6 + 1))/(3*x^6 + (x^6 + 1)^3 - 3*(x^6 + 1)^2 + 2) - 1/24*(3*(x^6 + 1)^(3/2) - 5*sqrt(x^6 + 1))/(2*x^6 - (x^6 + 1)^2 + 1) - 11/96*log(sqrt(x^6 + 1) + 1) + 11/96*log(sqrt(x^6 + 1) - 1)","B",0
556,0,0,0,0.000000," ","integrate((x^6+1)/(x^4+1)^(1/2)/(-x^6+1),x, algorithm=""maxima"")","-\int \frac{x^{6} + 1}{{\left(x^{6} - 1\right)} \sqrt{x^{4} + 1}}\,{d x}"," ",0,"-integrate((x^6 + 1)/((x^6 - 1)*sqrt(x^4 + 1)), x)","F",0
557,0,0,0,0.000000," ","integrate((x^6+1)/(x^4+1)^(1/2)/(x^6-1),x, algorithm=""maxima"")","\int \frac{x^{6} + 1}{{\left(x^{6} - 1\right)} \sqrt{x^{4} + 1}}\,{d x}"," ",0,"integrate((x^6 + 1)/((x^6 - 1)*sqrt(x^4 + 1)), x)","F",0
558,0,0,0,0.000000," ","integrate((x^5-1)*(4*x^5+1)/x/(x^5-a*x-1)/(x^6-x)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(4 \, x^{5} + 1\right)} {\left(x^{5} - 1\right)}}{\sqrt{x^{6} - x} {\left(x^{5} - a x - 1\right)} x}\,{d x}"," ",0,"integrate((4*x^5 + 1)*(x^5 - 1)/(sqrt(x^6 - x)*(x^5 - a*x - 1)*x), x)","F",0
559,1,85,0,0.502679," ","integrate((x^3+2)*(x^6+x^3+1)/x^7/(x^3+1)^(1/2),x, algorithm=""maxima"")","\frac{2}{3} \, \sqrt{x^{3} + 1} - \frac{3 \, {\left(x^{3} + 1\right)}^{\frac{3}{2}} - 5 \, \sqrt{x^{3} + 1}}{6 \, {\left(2 \, x^{3} - {\left(x^{3} + 1\right)}^{2} + 1\right)}} - \frac{\sqrt{x^{3} + 1}}{x^{3}} - \frac{3}{4} \, \log\left(\sqrt{x^{3} + 1} + 1\right) + \frac{3}{4} \, \log\left(\sqrt{x^{3} + 1} - 1\right)"," ",0,"2/3*sqrt(x^3 + 1) - 1/6*(3*(x^3 + 1)^(3/2) - 5*sqrt(x^3 + 1))/(2*x^3 - (x^3 + 1)^2 + 1) - sqrt(x^3 + 1)/x^3 - 3/4*log(sqrt(x^3 + 1) + 1) + 3/4*log(sqrt(x^3 + 1) - 1)","B",0
560,0,0,0,0.000000," ","integrate((4*x^6-x)/(x^5+1)/(a*x^5+a-x)/(x^6+x)^(1/2),x, algorithm=""maxima"")","\int \frac{4 \, x^{6} - x}{{\left(a x^{5} + a - x\right)} \sqrt{x^{6} + x} {\left(x^{5} + 1\right)}}\,{d x}"," ",0,"integrate((4*x^6 - x)/((a*x^5 + a - x)*sqrt(x^6 + x)*(x^5 + 1)), x)","F",0
561,0,0,0,0.000000," ","integrate((x^6+x^3+2)/x/(x^6+1)^(1/4)/(x^9-4*x^6+5*x^3-4),x, algorithm=""maxima"")","\int \frac{x^{6} + x^{3} + 2}{{\left(x^{9} - 4 \, x^{6} + 5 \, x^{3} - 4\right)} {\left(x^{6} + 1\right)}^{\frac{1}{4}} x}\,{d x}"," ",0,"integrate((x^6 + x^3 + 2)/((x^9 - 4*x^6 + 5*x^3 - 4)*(x^6 + 1)^(1/4)*x), x)","F",0
562,1,14,0,0.349277," ","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=""maxima"")","\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
563,0,0,0,0.000000," ","integrate((2*a*x^8-b*x^3)/(a*x^6-b*x)^(1/4)/(a*x^10-b*x^5-1),x, algorithm=""maxima"")","\int \frac{2 \, a x^{8} - b x^{3}}{{\left(a x^{10} - b x^{5} - 1\right)} {\left(a x^{6} - b x\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((2*a*x^8 - b*x^3)/((a*x^10 - b*x^5 - 1)*(a*x^6 - b*x)^(1/4)), x)","F",0
564,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(10 \, a x^{3} - 7 \, b\right)} x^{5}}{{\left(a x^{10} - b x^{7} - 1\right)} {\left(a x^{6} - b x^{3}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((10*a*x^3 - 7*b)*x^5/((a*x^10 - b*x^7 - 1)*(a*x^6 - b*x^3)^(1/4)), x)","F",0
565,0,0,0,0.000000," ","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=""maxima"")","\int \frac{1}{\sqrt{a x^{2} + \sqrt{\frac{a^{2} x^{2}}{b^{2}} - \frac{a}{b^{2}}} b x} \sqrt{\frac{a^{2} x^{2}}{b^{2}} - \frac{a}{b^{2}}} x}\,{d x}"," ",0,"integrate(1/(sqrt(a*x^2 + sqrt(a^2*x^2/b^2 - a/b^2)*b*x)*sqrt(a^2*x^2/b^2 - a/b^2)*x), x)","F",0
566,-2,0,0,0.000000," ","integrate((a*b-2*a*x+x^2)/(x*(-a+x)*(-b+x))^(1/2)/(a*d-(b+d)*x+x^2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume((d+b)^2-4*a*d>0)', see `assume?` for more details)Is (d+b)^2-4*a*d    positive, negative or zero?","F(-2)",0
567,-2,0,0,0.000000," ","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=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume((b*d+1)^2-4*a*d>0)', see `assume?` for more details)Is (b*d+1)^2-4*a*d    positive, negative or zero?","F(-2)",0
568,0,0,0,0.000000," ","integrate((x^3-2)*(x^3-x^2+1)^(1/2)/(x^3+1)^2,x, algorithm=""maxima"")","\int \frac{\sqrt{x^{3} - x^{2} + 1} {\left(x^{3} - 2\right)}}{{\left(x^{3} + 1\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(x^3 - x^2 + 1)*(x^3 - 2)/(x^3 + 1)^2, x)","F",0
569,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{a^{2} b - {\left(2 \, a - b\right)} a x + {\left(a - 2 \, b\right)} x^{2} + x^{3}}{{\left(a^{3} + {\left(3 \, a + d\right)} x^{2} - x^{3} - {\left(3 \, a^{2} + b d\right)} x\right)} \sqrt{{\left(a - x\right)} {\left(b - x\right)} x}}\,{d x}"," ",0,"-integrate((a^2*b - (2*a - b)*a*x + (a - 2*b)*x^2 + x^3)/((a^3 + (3*a + d)*x^2 - x^3 - (3*a^2 + b*d)*x)*sqrt((a - x)*(b - x)*x)), x)","F",0
570,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{a^{2} b - {\left(2 \, a - b\right)} a x + {\left(a - 2 \, b\right)} x^{2} + x^{3}}{{\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{{\left(a - x\right)} {\left(b - x\right)} x}}\,{d x}"," ",0,"-integrate((a^2*b - (2*a - b)*a*x + (a - 2*b)*x^2 + x^3)/((a^3*d - d*x^3 + (3*a*d + 1)*x^2 - (3*a^2*d + b)*x)*sqrt((a - x)*(b - x)*x)), x)","F",0
571,0,0,0,0.000000," ","integrate((2*x^2-3*x)/(x^3+2*x-2)/(3*x^4+2*x^2-2*x)^(1/2),x, algorithm=""maxima"")","\int \frac{2 \, x^{2} - 3 \, x}{\sqrt{3 \, x^{4} + 2 \, x^{2} - 2 \, x} {\left(x^{3} + 2 \, x - 2\right)}}\,{d x}"," ",0,"integrate((2*x^2 - 3*x)/(sqrt(3*x^4 + 2*x^2 - 2*x)*(x^3 + 2*x - 2)), x)","F",0
572,0,0,0,0.000000," ","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=""maxima"")","\int \frac{a p x^{4} - 3 \, b p x^{2} + 4 \, a q x}{{\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}}\,{d x}"," ",0,"integrate((a*p*x^4 - 3*b*p*x^2 + 4*a*q*x)/((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)), x)","F",0
573,1,57,0,0.450728," ","integrate((x^12+1)/x^10/(x^6-1)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{x^{6} - 1}}{3 \, x^{3}} - \frac{{\left(x^{6} - 1\right)}^{\frac{3}{2}}}{9 \, x^{9}} + \frac{1}{6} \, \log\left(\frac{\sqrt{x^{6} - 1}}{x^{3}} + 1\right) - \frac{1}{6} \, \log\left(\frac{\sqrt{x^{6} - 1}}{x^{3}} - 1\right)"," ",0,"1/3*sqrt(x^6 - 1)/x^3 - 1/9*(x^6 - 1)^(3/2)/x^9 + 1/6*log(sqrt(x^6 - 1)/x^3 + 1) - 1/6*log(sqrt(x^6 - 1)/x^3 - 1)","A",0
574,0,0,0,0.000000," ","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=""maxima"")","\int \frac{x^{2} - 1}{{\left(x^{20} + 5 \, x^{16} + 10 \, x^{12} + 10 \, x^{8} + 5 \, x^{4} + 1\right)}^{\frac{1}{10}} {\left(x^{2} + 1\right)}}\,{d x}"," ",0,"integrate((x^2 - 1)/((x^20 + 5*x^16 + 10*x^12 + 10*x^8 + 5*x^4 + 1)^(1/10)*(x^2 + 1)), x)","F",0
575,0,0,0,0.000000," ","integrate((b+(a*x^2+b^2)^(1/2))^(1/2)/(a*x^2+b^2),x, algorithm=""maxima"")","\int \frac{\sqrt{b + \sqrt{a x^{2} + b^{2}}}}{a x^{2} + b^{2}}\,{d x}"," ",0,"integrate(sqrt(b + sqrt(a*x^2 + b^2))/(a*x^2 + b^2), x)","F",0
576,0,0,0,0.000000," ","integrate((x^2+(x^4+1)^(1/2))^(1/2)/(x^4+1)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{2} + \sqrt{x^{4} + 1}}}{\sqrt{x^{4} + 1}}\,{d x}"," ",0,"integrate(sqrt(x^2 + sqrt(x^4 + 1))/sqrt(x^4 + 1), x)","F",0
577,1,47,0,0.449204," ","integrate(1/x^3/(x^2+1)^(3/4),x, algorithm=""maxima"")","-\frac{{\left(x^{2} + 1\right)}^{\frac{1}{4}}}{2 \, x^{2}} + \frac{3}{4} \, \arctan\left({\left(x^{2} + 1\right)}^{\frac{1}{4}}\right) + \frac{3}{8} \, \log\left({\left(x^{2} + 1\right)}^{\frac{1}{4}} + 1\right) - \frac{3}{8} \, \log\left({\left(x^{2} + 1\right)}^{\frac{1}{4}} - 1\right)"," ",0,"-1/2*(x^2 + 1)^(1/4)/x^2 + 3/4*arctan((x^2 + 1)^(1/4)) + 3/8*log((x^2 + 1)^(1/4) + 1) - 3/8*log((x^2 + 1)^(1/4) - 1)","A",0
578,1,47,0,0.444462," ","integrate(1/x^4/(x^3+1)^(1/4),x, algorithm=""maxima"")","-\frac{{\left(x^{3} + 1\right)}^{\frac{3}{4}}}{3 \, x^{3}} - \frac{1}{6} \, \arctan\left({\left(x^{3} + 1\right)}^{\frac{1}{4}}\right) + \frac{1}{12} \, \log\left({\left(x^{3} + 1\right)}^{\frac{1}{4}} + 1\right) - \frac{1}{12} \, \log\left({\left(x^{3} + 1\right)}^{\frac{1}{4}} - 1\right)"," ",0,"-1/3*(x^3 + 1)^(3/4)/x^3 - 1/6*arctan((x^3 + 1)^(1/4)) + 1/12*log((x^3 + 1)^(1/4) + 1) - 1/12*log((x^3 + 1)^(1/4) - 1)","A",0
579,1,47,0,0.520590," ","integrate((x^3+1)^(1/4)/x^4,x, algorithm=""maxima"")","-\frac{{\left(x^{3} + 1\right)}^{\frac{1}{4}}}{3 \, x^{3}} - \frac{1}{6} \, \arctan\left({\left(x^{3} + 1\right)}^{\frac{1}{4}}\right) - \frac{1}{12} \, \log\left({\left(x^{3} + 1\right)}^{\frac{1}{4}} + 1\right) + \frac{1}{12} \, \log\left({\left(x^{3} + 1\right)}^{\frac{1}{4}} - 1\right)"," ",0,"-1/3*(x^3 + 1)^(1/4)/x^3 - 1/6*arctan((x^3 + 1)^(1/4)) - 1/12*log((x^3 + 1)^(1/4) + 1) + 1/12*log((x^3 + 1)^(1/4) - 1)","A",0
580,0,0,0,0.000000," ","integrate(x^3*(x^4-x)^(1/2),x, algorithm=""maxima"")","\int \sqrt{x^{4} - x} x^{3}\,{d x}"," ",0,"integrate(sqrt(x^4 - x)*x^3, x)","F",0
581,0,0,0,0.000000," ","integrate((x^4+1)*(3*x^4-1)/x/(x^4-a*x+1)/(x^5+x)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(3 \, x^{4} - 1\right)} {\left(x^{4} + 1\right)}}{\sqrt{x^{5} + x} {\left(x^{4} - a x + 1\right)} x}\,{d x}"," ",0,"integrate((3*x^4 - 1)*(x^4 + 1)/(sqrt(x^5 + x)*(x^4 - a*x + 1)*x), x)","F",0
582,0,0,0,0.000000," ","integrate((x^5+x^2+1)^(1/2)*(3*x^5-2)/(x^5+1)/(x^5-x^2+1),x, algorithm=""maxima"")","\int \frac{{\left(3 \, x^{5} - 2\right)} \sqrt{x^{5} + x^{2} + 1}}{{\left(x^{5} - x^{2} + 1\right)} {\left(x^{5} + 1\right)}}\,{d x}"," ",0,"integrate((3*x^5 - 2)*sqrt(x^5 + x^2 + 1)/((x^5 - x^2 + 1)*(x^5 + 1)), x)","F",0
583,1,47,0,0.448283," ","integrate((x^6+1)^(1/4)/x^7,x, algorithm=""maxima"")","-\frac{{\left(x^{6} + 1\right)}^{\frac{1}{4}}}{6 \, x^{6}} - \frac{1}{12} \, \arctan\left({\left(x^{6} + 1\right)}^{\frac{1}{4}}\right) - \frac{1}{24} \, \log\left({\left(x^{6} + 1\right)}^{\frac{1}{4}} + 1\right) + \frac{1}{24} \, \log\left({\left(x^{6} + 1\right)}^{\frac{1}{4}} - 1\right)"," ",0,"-1/6*(x^6 + 1)^(1/4)/x^6 - 1/12*arctan((x^6 + 1)^(1/4)) - 1/24*log((x^6 + 1)^(1/4) + 1) + 1/24*log((x^6 + 1)^(1/4) - 1)","A",0
584,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(5 \, x^{3} + 5 \, x^{2} - 8 \, x - 10\right)} {\left(x - 1\right)}^{2}}{{\left(x^{6} - 4 \, x^{5} + 4 \, x^{4} + 4 \, x^{3} - 11 \, x^{2} + 7 \, x - 3\right)} {\left(x^{2} - 2\right)} \left(\frac{x + 1}{x^{2} - 2}\right)^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((5*x^3 + 5*x^2 - 8*x - 10)*(x - 1)^2/((x^6 - 4*x^5 + 4*x^4 + 4*x^3 - 11*x^2 + 7*x - 3)*(x^2 - 2)*((x + 1)/(x^2 - 2))^(3/4)), x)","F",0
585,0,0,0,0.000000," ","integrate(x^2*(9*a*x+10*b)/(a*x^3+b*x^2)^(1/4)/(x^10-a*x-b),x, algorithm=""maxima"")","\int \frac{{\left(9 \, a x + 10 \, b\right)} x^{2}}{{\left(x^{10} - a x - b\right)} {\left(a x^{3} + b x^{2}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((9*a*x + 10*b)*x^2/((x^10 - a*x - b)*(a*x^3 + b*x^2)^(1/4)), x)","F",0
586,0,0,0,0.000000," ","integrate((x^16-1)/(x^4+1)^(1/2)/(x^16+1),x, algorithm=""maxima"")","\int \frac{x^{16} - 1}{{\left(x^{16} + 1\right)} \sqrt{x^{4} + 1}}\,{d x}"," ",0,"integrate((x^16 - 1)/((x^16 + 1)*sqrt(x^4 + 1)), x)","F",0
587,0,0,0,0.000000," ","integrate((x^16-1)/(x^4-1)^(1/2)/(x^16-x^8+1),x, algorithm=""maxima"")","\int \frac{x^{16} - 1}{{\left(x^{16} - x^{8} + 1\right)} \sqrt{x^{4} - 1}}\,{d x}"," ",0,"integrate((x^16 - 1)/((x^16 - x^8 + 1)*sqrt(x^4 - 1)), x)","F",0
588,0,0,0,0.000000," ","integrate((x^2+x*(x^2-1)^(1/2))^(1/2)/x/(x^2-1)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{2} + \sqrt{x^{2} - 1} x}}{\sqrt{x^{2} - 1} x}\,{d x}"," ",0,"integrate(sqrt(x^2 + sqrt(x^2 - 1)*x)/(sqrt(x^2 - 1)*x), x)","F",0
589,0,0,0,0.000000," ","integrate(x^6*(x^4+x)^(1/2),x, algorithm=""maxima"")","\int \sqrt{x^{4} + x} x^{6}\,{d x}"," ",0,"integrate(sqrt(x^4 + x)*x^6, x)","F",0
590,0,0,0,0.000000," ","integrate((-1+x)*(1+x)^3/(x^2+1)^2/(x^4+x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(x + 1\right)}^{3} {\left(x - 1\right)}}{\sqrt{x^{4} + x^{2} + 1} {\left(x^{2} + 1\right)}^{2}}\,{d x}"," ",0,"integrate((x + 1)^3*(x - 1)/(sqrt(x^4 + x^2 + 1)*(x^2 + 1)^2), x)","F",0
591,0,0,0,0.000000," ","integrate((x^2-1)/(x^2+1)/(x^4-x^3-x^2-x+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} - 1}{\sqrt{x^{4} - x^{3} - x^{2} - x + 1} {\left(x^{2} + 1\right)}}\,{d x}"," ",0,"integrate((x^2 - 1)/(sqrt(x^4 - x^3 - x^2 - x + 1)*(x^2 + 1)), x)","F",0
592,0,0,0,0.000000," ","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=""maxima"")","\int \frac{3 \, x^{2} - 2 \, x - 1}{\sqrt{x^{6} - 2 \, x^{5} - x^{4} + 4 \, x^{3} - x^{2} - 2 \, x - 3}}\,{d x}"," ",0,"integrate((3*x^2 - 2*x - 1)/sqrt(x^6 - 2*x^5 - x^4 + 4*x^3 - x^2 - 2*x - 3), x)","F",0
593,0,0,0,0.000000," ","integrate((x^2-x)/(x^6-2*x^5+x^4-2*x^3+4*x^2-2*x)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} - x}{\sqrt{x^{6} - 2 \, x^{5} + x^{4} - 2 \, x^{3} + 4 \, x^{2} - 2 \, x}}\,{d x}"," ",0,"integrate((x^2 - x)/sqrt(x^6 - 2*x^5 + x^4 - 2*x^3 + 4*x^2 - 2*x), x)","F",0
594,1,59,0,0.527324," ","integrate((x^4-1)^(1/4)/x^2,x, algorithm=""maxima"")","-\frac{{\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x} + \frac{1}{2} \, \arctan\left(\frac{{\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{4} \, \log\left(\frac{{\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x} + 1\right) - \frac{1}{4} \, \log\left(\frac{{\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x} - 1\right)"," ",0,"-(x^4 - 1)^(1/4)/x + 1/2*arctan((x^4 - 1)^(1/4)/x) + 1/4*log((x^4 - 1)^(1/4)/x + 1) - 1/4*log((x^4 - 1)^(1/4)/x - 1)","A",0
595,1,53,0,0.485969," ","integrate((x^4-1)*(x^4+1)^(1/4)/x,x, algorithm=""maxima"")","\frac{1}{5} \, {\left(x^{4} + 1\right)}^{\frac{5}{4}} - {\left(x^{4} + 1\right)}^{\frac{1}{4}} + \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)^(5/4) - (x^4 + 1)^(1/4) + 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
596,0,0,0,0.000000," ","integrate(1/(x^4+4*x+3)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{4} + 4 \, x + 3}}\,{d x}"," ",0,"integrate(1/sqrt(x^4 + 4*x + 3), x)","F",0
597,0,0,0,0.000000," ","integrate((x^4+1)*(x^4+2*x^2-1)^(1/2)/(x^4-1)/(x^4+x^2-1),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{4} + 2 \, x^{2} - 1} {\left(x^{4} + 1\right)}}{{\left(x^{4} + x^{2} - 1\right)} {\left(x^{4} - 1\right)}}\,{d x}"," ",0,"integrate(sqrt(x^4 + 2*x^2 - 1)*(x^4 + 1)/((x^4 + x^2 - 1)*(x^4 - 1)), x)","F",0
598,0,0,0,0.000000," ","integrate((x^4-x^2+x-1)^(1/2)*(2*x^4-x+2)/(x^4+x-1)^2,x, algorithm=""maxima"")","\int \frac{{\left(2 \, x^{4} - x + 2\right)} \sqrt{x^{4} - x^{2} + x - 1}}{{\left(x^{4} + x - 1\right)}^{2}}\,{d x}"," ",0,"integrate((2*x^4 - x + 2)*sqrt(x^4 - x^2 + x - 1)/(x^4 + x - 1)^2, x)","F",0
599,0,0,0,0.000000," ","integrate((3*x^5+x)/(x^4-1)/(a*x^4-a-x)/(x^5-x)^(1/2),x, algorithm=""maxima"")","\int \frac{3 \, x^{5} + x}{{\left(a x^{4} - a - x\right)} \sqrt{x^{5} - x} {\left(x^{4} - 1\right)}}\,{d x}"," ",0,"integrate((3*x^5 + x)/((a*x^4 - a - x)*sqrt(x^5 - x)*(x^4 - 1)), x)","F",0
600,0,0,0,0.000000," ","integrate((x^6+x^2+1)^(1/2)*(2*x^6-1)/(x^6+1)/(2*x^6-x^2+2),x, algorithm=""maxima"")","\int \frac{{\left(2 \, x^{6} - 1\right)} \sqrt{x^{6} + x^{2} + 1}}{{\left(2 \, x^{6} - x^{2} + 2\right)} {\left(x^{6} + 1\right)}}\,{d x}"," ",0,"integrate((2*x^6 - 1)*sqrt(x^6 + x^2 + 1)/((2*x^6 - x^2 + 2)*(x^6 + 1)), x)","F",0
601,0,0,0,0.000000," ","integrate((4*x^6+x)/(x^5-1)/(a*x^5-a-x)/(x^6-x)^(1/2),x, algorithm=""maxima"")","\int \frac{4 \, x^{6} + x}{{\left(a x^{5} - a - x\right)} \sqrt{x^{6} - x} {\left(x^{5} - 1\right)}}\,{d x}"," ",0,"integrate((4*x^6 + x)/((a*x^5 - a - x)*sqrt(x^6 - x)*(x^5 - 1)), x)","F",0
602,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{2 \, x^{5} + x} {\left(6 \, x^{4} - 1\right)}}{{\left(4 \, x^{8} + 4 \, x^{4} - x^{2} + 1\right)} {\left(2 \, x^{4} + 1\right)}}\,{d x}"," ",0,"integrate(sqrt(2*x^5 + x)*(6*x^4 - 1)/((4*x^8 + 4*x^4 - x^2 + 1)*(2*x^4 + 1)), x)","F",0
603,1,23,0,0.319315," ","integrate((1+(1+x)^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{4}{5} \, {\left(\sqrt{x + 1} + 1\right)}^{\frac{5}{2}} - \frac{4}{3} \, {\left(\sqrt{x + 1} + 1\right)}^{\frac{3}{2}}"," ",0,"4/5*(sqrt(x + 1) + 1)^(5/2) - 4/3*(sqrt(x + 1) + 1)^(3/2)","C",0
604,1,56,0,0.449573," ","integrate((1+(x^2+1)^(1/2))^(1/2)/x,x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{2} \log\left(-\frac{\sqrt{2} - \sqrt{\sqrt{x^{2} + 1} + 1}}{\sqrt{2} + \sqrt{\sqrt{x^{2} + 1} + 1}}\right) + 2 \, \sqrt{\sqrt{x^{2} + 1} + 1}"," ",0,"1/2*sqrt(2)*log(-(sqrt(2) - sqrt(sqrt(x^2 + 1) + 1))/(sqrt(2) + sqrt(sqrt(x^2 + 1) + 1))) + 2*sqrt(sqrt(x^2 + 1) + 1)","A",0
605,0,0,0,0.000000," ","integrate(1/(1+(x^2-6*x+9)^(1/4)),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{2} - 6 \, x + 9\right)}^{\frac{1}{4}} + 1}\,{d x}"," ",0,"integrate(1/((x^2 - 6*x + 9)^(1/4) + 1), x)","F",0
606,0,0,0,0.000000," ","integrate(x^2/(x^2-2)/(x^2-1)^(3/4),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(x^{2} - 1\right)}^{\frac{3}{4}} {\left(x^{2} - 2\right)}}\,{d x}"," ",0,"integrate(x^2/((x^2 - 1)^(3/4)*(x^2 - 2)), x)","F",0
607,0,0,0,0.000000," ","integrate((x^2-1)*(x^4+1)^(1/2)/(x^2+1)^3,x, algorithm=""maxima"")","\int \frac{\sqrt{x^{4} + 1} {\left(x^{2} - 1\right)}}{{\left(x^{2} + 1\right)}^{3}}\,{d x}"," ",0,"integrate(sqrt(x^4 + 1)*(x^2 - 1)/(x^2 + 1)^3, x)","F",0
608,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{5 \, x^{2} - 46 \, x + 77}{\sqrt{x^{4} - 3 \, x^{3} - 21 \, x^{2} + 83 \, x - 60} {\left(23 \, x^{2} - 82 \, x + 23\right)}}\,{d x}"," ",0,"-integrate((5*x^2 - 46*x + 77)/(sqrt(x^4 - 3*x^3 - 21*x^2 + 83*x - 60)*(23*x^2 - 82*x + 23)), x)","F",0
609,0,0,0,0.000000," ","integrate((-1+x)*(x^4+x^3)^(1/4)/x/(1+x),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(x - 1\right)}}{{\left(x + 1\right)} x}\,{d x}"," ",0,"integrate((x^4 + x^3)^(1/4)*(x - 1)/((x + 1)*x), x)","F",0
610,0,0,0,0.000000," ","integrate((x^4-1)*(x^4+x^3)^(1/4)/x^8,x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(x^{4} - 1\right)}}{x^{8}}\,{d x}"," ",0,"integrate((x^4 + x^3)^(1/4)*(x^4 - 1)/x^8, x)","F",0
611,0,0,0,0.000000," ","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=""maxima"")","\int \frac{4 \, x^{4} - 4 \, x^{2} + 4 \, x - 1}{{\left(4 \, x^{4} - 8 \, x^{3} + 12 \, x^{2} - 4 \, x - 1\right)} {\left(2 \, x^{2} + 1\right)} \sqrt{-\frac{2 \, x^{2} - 1}{2 \, x^{2} + 1}}}\,{d x}"," ",0,"integrate((4*x^4 - 4*x^2 + 4*x - 1)/((4*x^4 - 8*x^3 + 12*x^2 - 4*x - 1)*(2*x^2 + 1)*sqrt(-(2*x^2 - 1)/(2*x^2 + 1))), x)","F",0
612,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{4} - x^{3} + 1\right)} {\left(x^{4} - 2 \, x^{3} + 1\right)} {\left(x^{4} - 3\right)}}{{\left(x^{5} + x\right)}^{\frac{1}{4}} {\left(x^{4} + 1\right)} x^{6}}\,{d x}"," ",0,"integrate((x^4 - x^3 + 1)*(x^4 - 2*x^3 + 1)*(x^4 - 3)/((x^5 + x)^(1/4)*(x^4 + 1)*x^6), x)","F",0
613,1,109,0,0.315266," ","integrate(x^20/(x^6-1)^(1/2),x, algorithm=""maxima"")","-\frac{\frac{33 \, \sqrt{x^{6} - 1}}{x^{3}} - \frac{40 \, {\left(x^{6} - 1\right)}^{\frac{3}{2}}}{x^{9}} + \frac{15 \, {\left(x^{6} - 1\right)}^{\frac{5}{2}}}{x^{15}}}{144 \, {\left(\frac{3 \, {\left(x^{6} - 1\right)}}{x^{6}} - \frac{3 \, {\left(x^{6} - 1\right)}^{2}}{x^{12}} + \frac{{\left(x^{6} - 1\right)}^{3}}{x^{18}} - 1\right)}} + \frac{5}{96} \, \log\left(\frac{\sqrt{x^{6} - 1}}{x^{3}} + 1\right) - \frac{5}{96} \, \log\left(\frac{\sqrt{x^{6} - 1}}{x^{3}} - 1\right)"," ",0,"-1/144*(33*sqrt(x^6 - 1)/x^3 - 40*(x^6 - 1)^(3/2)/x^9 + 15*(x^6 - 1)^(5/2)/x^15)/(3*(x^6 - 1)/x^6 - 3*(x^6 - 1)^2/x^12 + (x^6 - 1)^3/x^18 - 1) + 5/96*log(sqrt(x^6 - 1)/x^3 + 1) - 5/96*log(sqrt(x^6 - 1)/x^3 - 1)","B",0
614,1,109,0,0.319240," ","integrate(x^14*(x^6-1)^(1/2),x, algorithm=""maxima"")","-\frac{\frac{3 \, \sqrt{x^{6} - 1}}{x^{3}} + \frac{8 \, {\left(x^{6} - 1\right)}^{\frac{3}{2}}}{x^{9}} - \frac{3 \, {\left(x^{6} - 1\right)}^{\frac{5}{2}}}{x^{15}}}{144 \, {\left(\frac{3 \, {\left(x^{6} - 1\right)}}{x^{6}} - \frac{3 \, {\left(x^{6} - 1\right)}^{2}}{x^{12}} + \frac{{\left(x^{6} - 1\right)}^{3}}{x^{18}} - 1\right)}} - \frac{1}{96} \, \log\left(\frac{\sqrt{x^{6} - 1}}{x^{3}} + 1\right) + \frac{1}{96} \, \log\left(\frac{\sqrt{x^{6} - 1}}{x^{3}} - 1\right)"," ",0,"-1/144*(3*sqrt(x^6 - 1)/x^3 + 8*(x^6 - 1)^(3/2)/x^9 - 3*(x^6 - 1)^(5/2)/x^15)/(3*(x^6 - 1)/x^6 - 3*(x^6 - 1)^2/x^12 + (x^6 - 1)^3/x^18 - 1) - 1/96*log(sqrt(x^6 - 1)/x^3 + 1) + 1/96*log(sqrt(x^6 - 1)/x^3 - 1)","B",0
615,1,109,0,0.329771," ","integrate(x^20/(x^6+1)^(1/2),x, algorithm=""maxima"")","\frac{\frac{33 \, \sqrt{x^{6} + 1}}{x^{3}} - \frac{40 \, {\left(x^{6} + 1\right)}^{\frac{3}{2}}}{x^{9}} + \frac{15 \, {\left(x^{6} + 1\right)}^{\frac{5}{2}}}{x^{15}}}{144 \, {\left(\frac{3 \, {\left(x^{6} + 1\right)}}{x^{6}} - \frac{3 \, {\left(x^{6} + 1\right)}^{2}}{x^{12}} + \frac{{\left(x^{6} + 1\right)}^{3}}{x^{18}} - 1\right)}} - \frac{5}{96} \, \log\left(\frac{\sqrt{x^{6} + 1}}{x^{3}} + 1\right) + \frac{5}{96} \, \log\left(\frac{\sqrt{x^{6} + 1}}{x^{3}} - 1\right)"," ",0,"1/144*(33*sqrt(x^6 + 1)/x^3 - 40*(x^6 + 1)^(3/2)/x^9 + 15*(x^6 + 1)^(5/2)/x^15)/(3*(x^6 + 1)/x^6 - 3*(x^6 + 1)^2/x^12 + (x^6 + 1)^3/x^18 - 1) - 5/96*log(sqrt(x^6 + 1)/x^3 + 1) + 5/96*log(sqrt(x^6 + 1)/x^3 - 1)","B",0
616,0,0,0,0.000000," ","integrate((-4*x^6+x)/(x^6+x)^(1/2)/(x^10+2*x^5-a*x^2+1),x, algorithm=""maxima"")","-\int \frac{4 \, x^{6} - x}{{\left(x^{10} + 2 \, x^{5} - a x^{2} + 1\right)} \sqrt{x^{6} + x}}\,{d x}"," ",0,"-integrate((4*x^6 - x)/((x^10 + 2*x^5 - a*x^2 + 1)*sqrt(x^6 + x)), x)","F",0
617,0,0,0,0.000000," ","integrate((4*x^6-x)/(x^6+x)^(1/2)/(a*x^10+2*a*x^5-x^2+a),x, algorithm=""maxima"")","\int \frac{4 \, x^{6} - x}{{\left(a x^{10} + 2 \, a x^{5} - x^{2} + a\right)} \sqrt{x^{6} + x}}\,{d x}"," ",0,"integrate((4*x^6 - x)/((a*x^10 + 2*a*x^5 - x^2 + a)*sqrt(x^6 + x)), x)","F",0
618,0,0,0,0.000000," ","integrate((1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{\sqrt{x^{2} + 1}}\,{d x}"," ",0,"integrate(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/sqrt(x^2 + 1), x)","F",0
619,0,0,0,0.000000," ","integrate((2*a*x-3*b)/(a*x^2-b*x)^(1/4)/(x^3-a*x+b),x, algorithm=""maxima"")","\int \frac{2 \, a x - 3 \, b}{{\left(a x^{2} - b x\right)}^{\frac{1}{4}} {\left(x^{3} - a x + b\right)}}\,{d x}"," ",0,"integrate((2*a*x - 3*b)/((a*x^2 - b*x)^(1/4)*(x^3 - a*x + b)), x)","F",0
620,0,0,0,0.000000," ","integrate((x^3-4)*(x^3-x^2+2)^(1/2)/(x^3+2)/(x^3+x^2+2),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{3} - x^{2} + 2} {\left(x^{3} - 4\right)}}{{\left(x^{3} + x^{2} + 2\right)} {\left(x^{3} + 2\right)}}\,{d x}"," ",0,"integrate(sqrt(x^3 - x^2 + 2)*(x^3 - 4)/((x^3 + x^2 + 2)*(x^3 + 2)), x)","F",0
621,1,72,0,0.406287," ","integrate(x^2*(x^4-1)^(1/4),x, algorithm=""maxima"")","-\frac{{\left(x^{4} - 1\right)}^{\frac{1}{4}}}{4 \, x {\left(\frac{x^{4} - 1}{x^{4}} - 1\right)}} - \frac{1}{8} \, \arctan\left(\frac{{\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{16} \, \log\left(\frac{{\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x} + 1\right) + \frac{1}{16} \, \log\left(\frac{{\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x} - 1\right)"," ",0,"-1/4*(x^4 - 1)^(1/4)/(x*((x^4 - 1)/x^4 - 1)) - 1/8*arctan((x^4 - 1)^(1/4)/x) - 1/16*log((x^4 - 1)^(1/4)/x + 1) + 1/16*log((x^4 - 1)^(1/4)/x - 1)","A",0
622,1,72,0,0.422370," ","integrate(x^2*(x^4+1)^(1/4),x, algorithm=""maxima"")","\frac{{\left(x^{4} + 1\right)}^{\frac{1}{4}}}{4 \, x {\left(\frac{x^{4} + 1}{x^{4}} - 1\right)}} + \frac{1}{8} \, \arctan\left(\frac{{\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{16} \, \log\left(\frac{{\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x} + 1\right) - \frac{1}{16} \, \log\left(\frac{{\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x} - 1\right)"," ",0,"1/4*(x^4 + 1)^(1/4)/(x*((x^4 + 1)/x^4 - 1)) + 1/8*arctan((x^4 + 1)^(1/4)/x) + 1/16*log((x^4 + 1)^(1/4)/x + 1) - 1/16*log((x^4 + 1)^(1/4)/x - 1)","A",0
623,0,0,0,0.000000," ","integrate((a*x^3-b)*(x^4+x)^(1/2)/x^3,x, algorithm=""maxima"")","\int \frac{{\left(a x^{3} - b\right)} \sqrt{x^{4} + x}}{x^{3}}\,{d x}"," ",0,"integrate((a*x^3 - b)*sqrt(x^4 + x)/x^3, x)","F",0
624,0,0,0,0.000000," ","integrate(1/(x^4-2)/(x^4+x^2)^(1/4),x, algorithm=""maxima"")","\frac{2 \, {\left(4 \, x^{5} + x^{3} - 3 \, x\right)}}{21 \, {\left(x^{\frac{9}{2}} - 2 \, \sqrt{x}\right)} {\left(x^{2} + 1\right)}^{\frac{1}{4}}} + \int \frac{16 \, {\left(4 \, x^{4} + x^{2} - 3\right)}}{21 \, {\left(x^{\frac{17}{2}} - 4 \, x^{\frac{9}{2}} + 4 \, \sqrt{x}\right)} {\left(x^{2} + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"2/21*(4*x^5 + x^3 - 3*x)/((x^(9/2) - 2*sqrt(x))*(x^2 + 1)^(1/4)) + integrate(16/21*(4*x^4 + x^2 - 3)/((x^(17/2) - 4*x^(9/2) + 4*sqrt(x))*(x^2 + 1)^(1/4)), x)","F",0
625,0,0,0,0.000000," ","integrate((a*x^3-4*b)/(a*x^3-b)^(1/4)/(-a*x^3+x^4+b),x, algorithm=""maxima"")","-\int \frac{a x^{3} - 4 \, b}{{\left(a x^{3} - x^{4} - b\right)} {\left(a x^{3} - b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"-integrate((a*x^3 - 4*b)/((a*x^3 - x^4 - b)*(a*x^3 - b)^(1/4)), x)","F",0
626,0,0,0,0.000000," ","integrate((3*x^5-x)/(x^4+1)/(a*x^4+a-x)/(x^5+x)^(1/2),x, algorithm=""maxima"")","\int \frac{3 \, x^{5} - x}{{\left(a x^{4} + a - x\right)} \sqrt{x^{5} + x} {\left(x^{4} + 1\right)}}\,{d x}"," ",0,"integrate((3*x^5 - x)/((a*x^4 + a - x)*sqrt(x^5 + x)*(x^4 + 1)), x)","F",0
627,1,35,0,0.528064," ","integrate((x^3-1)*(x^6-1)^(1/2)/x^10,x, algorithm=""maxima"")","-\frac{\sqrt{x^{6} - 1}}{6 \, x^{6}} - \frac{{\left(x^{6} - 1\right)}^{\frac{3}{2}}}{9 \, x^{9}} + \frac{1}{6} \, \arctan\left(\sqrt{x^{6} - 1}\right)"," ",0,"-1/6*sqrt(x^6 - 1)/x^6 - 1/9*(x^6 - 1)^(3/2)/x^9 + 1/6*arctan(sqrt(x^6 - 1))","A",0
628,0,0,0,0.000000," ","integrate((x^6+1)/(x^5-x^3)^(1/4)/(-x^6+x^3+1),x, algorithm=""maxima"")","-\int \frac{x^{6} + 1}{{\left(x^{6} - x^{3} - 1\right)} {\left(x^{5} - x^{3}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"-integrate((x^6 + 1)/((x^6 - x^3 - 1)*(x^5 - x^3)^(1/4)), x)","F",0
629,0,0,0,0.000000," ","integrate((x^6+1)/(x^5-x^3)^(1/4)/(-x^6+x^3+1),x, algorithm=""maxima"")","-\int \frac{x^{6} + 1}{{\left(x^{6} - x^{3} - 1\right)} {\left(x^{5} - x^{3}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"-integrate((x^6 + 1)/((x^6 - x^3 - 1)*(x^5 - x^3)^(1/4)), x)","F",0
630,0,0,0,0.000000," ","integrate(x*(5*a*x+6*b)/(a*x^3+b*x^2)^(1/4)/(x^6-a*x-b),x, algorithm=""maxima"")","\int \frac{{\left(5 \, a x + 6 \, b\right)} x}{{\left(x^{6} - a x - b\right)} {\left(a x^{3} + b x^{2}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((5*a*x + 6*b)*x/((x^6 - a*x - b)*(a*x^3 + b*x^2)^(1/4)), x)","F",0
631,0,0,0,0.000000," ","integrate((x^5-1)^(1/2)*(3*x^5+2)/(x^10-a*x^4-2*x^5+1),x, algorithm=""maxima"")","\int \frac{{\left(3 \, x^{5} + 2\right)} \sqrt{x^{5} - 1}}{x^{10} - a x^{4} - 2 \, x^{5} + 1}\,{d x}"," ",0,"integrate((3*x^5 + 2)*sqrt(x^5 - 1)/(x^10 - a*x^4 - 2*x^5 + 1), x)","F",0
632,0,0,0,0.000000," ","integrate((x^5-1)^(1/2)*(3*x^5+2)/(a*x^10-2*a*x^5-x^4+a),x, algorithm=""maxima"")","\int \frac{{\left(3 \, x^{5} + 2\right)} \sqrt{x^{5} - 1}}{a x^{10} - 2 \, a x^{5} - x^{4} + a}\,{d x}"," ",0,"integrate((3*x^5 + 2)*sqrt(x^5 - 1)/(a*x^10 - 2*a*x^5 - x^4 + a), x)","F",0
633,0,0,0,0.000000," ","integrate((x^5+1)^(1/2)*(3*x^5-2)/(a*x^10+2*a*x^5-x^4+a),x, algorithm=""maxima"")","\int \frac{{\left(3 \, x^{5} - 2\right)} \sqrt{x^{5} + 1}}{a x^{10} + 2 \, a x^{5} - x^{4} + a}\,{d x}"," ",0,"integrate((3*x^5 - 2)*sqrt(x^5 + 1)/(a*x^10 + 2*a*x^5 - x^4 + a), x)","F",0
634,0,0,0,0.000000," ","integrate(1/(1+(x^2+1)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{\sqrt{x^{2} + 1} + 1}}\,{d x}"," ",0,"integrate(1/sqrt(sqrt(x^2 + 1) + 1), x)","F",0
635,0,0,0,0.000000," ","integrate(x^6*(x^4-x)^(1/2),x, algorithm=""maxima"")","\int \sqrt{x^{4} - x} x^{6}\,{d x}"," ",0,"integrate(sqrt(x^4 - x)*x^6, x)","F",0
636,0,0,0,0.000000," ","integrate((x^2-1)*(x^4-x^3)^(1/4)/x^8,x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(x^{2} - 1\right)}}{x^{8}}\,{d x}"," ",0,"integrate((x^4 - x^3)^(1/4)*(x^2 - 1)/x^8, x)","F",0
637,0,0,0,0.000000," ","integrate((x^3-1)*(x^6-1)^(1/2)/x/(x^3+1),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{6} - 1} {\left(x^{3} - 1\right)}}{{\left(x^{3} + 1\right)} x}\,{d x}"," ",0,"integrate(sqrt(x^6 - 1)*(x^3 - 1)/((x^3 + 1)*x), x)","F",0
638,0,0,0,0.000000," ","integrate((x^3+1)*(x^6-1)^(1/2)/x/(x^3-1),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{6} - 1} {\left(x^{3} + 1\right)}}{{\left(x^{3} - 1\right)} x}\,{d x}"," ",0,"integrate(sqrt(x^6 - 1)*(x^3 + 1)/((x^3 - 1)*x), x)","F",0
639,0,0,0,0.000000," ","integrate((a*x^4+2*b)/(a*x^4+b)^(1/4)/(x^8-2*a*x^4-2*b),x, algorithm=""maxima"")","\int \frac{a x^{4} + 2 \, b}{{\left(x^{8} - 2 \, a x^{4} - 2 \, b\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((a*x^4 + 2*b)/((x^8 - 2*a*x^4 - 2*b)*(a*x^4 + b)^(1/4)), x)","F",0
640,0,0,0,0.000000," ","integrate((a*x^4+2*b)/(a*x^4+b)^(1/4)/(x^8-2*a*x^4-2*b),x, algorithm=""maxima"")","\int \frac{a x^{4} + 2 \, b}{{\left(x^{8} - 2 \, a x^{4} - 2 \, b\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((a*x^4 + 2*b)/((x^8 - 2*a*x^4 - 2*b)*(a*x^4 + b)^(1/4)), x)","F",0
641,0,0,0,0.000000," ","integrate((x^6-1)*(x^6+1)/(x^7-x^4+x)^(1/4)/(x^12+3*x^6+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} + 1\right)} {\left(x^{6} - 1\right)}}{{\left(x^{12} + 3 \, x^{6} + 1\right)} {\left(x^{7} - x^{4} + x\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((x^6 + 1)*(x^6 - 1)/((x^12 + 3*x^6 + 1)*(x^7 - x^4 + x)^(1/4)), x)","F",0
642,0,0,0,0.000000," ","integrate((1+(x^2+1)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{\sqrt{x^{2} + 1} + 1}\,{d x}"," ",0,"integrate(sqrt(sqrt(x^2 + 1) + 1), x)","F",0
643,0,0,0,0.000000," ","integrate((1+(x^2+1)^(1/2))^(1/2)/x^2,x, algorithm=""maxima"")","\int \frac{\sqrt{\sqrt{x^{2} + 1} + 1}}{x^{2}}\,{d x}"," ",0,"integrate(sqrt(sqrt(x^2 + 1) + 1)/x^2, x)","F",0
644,1,57,0,0.427222," ","integrate(1/x/(a*x^2+b)^(3/4),x, algorithm=""maxima"")","-\frac{\arctan\left(\frac{{\left(a x^{2} + b\right)}^{\frac{1}{4}}}{b^{\frac{1}{4}}}\right)}{b^{\frac{3}{4}}} + \frac{\log\left(\frac{{\left(a x^{2} + b\right)}^{\frac{1}{4}} - b^{\frac{1}{4}}}{{\left(a x^{2} + b\right)}^{\frac{1}{4}} + b^{\frac{1}{4}}}\right)}{2 \, b^{\frac{3}{4}}}"," ",0,"-arctan((a*x^2 + b)^(1/4)/b^(1/4))/b^(3/4) + 1/2*log(((a*x^2 + b)^(1/4) - b^(1/4))/((a*x^2 + b)^(1/4) + b^(1/4)))/b^(3/4)","A",0
645,0,0,0,0.000000," ","integrate((-7+x)/(-11+5*x)/(x^4-3*x^3-21*x^2+83*x-60)^(1/2),x, algorithm=""maxima"")","\int \frac{x - 7}{\sqrt{x^{4} - 3 \, x^{3} - 21 \, x^{2} + 83 \, x - 60} {\left(5 \, x - 11\right)}}\,{d x}"," ",0,"integrate((x - 7)/(sqrt(x^4 - 3*x^3 - 21*x^2 + 83*x - 60)*(5*x - 11)), x)","F",0
646,0,0,0,0.000000," ","integrate((x^6-2)*(x^6-1)^(1/2)/x/(x^6+2),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{6} - 1} {\left(x^{6} - 2\right)}}{{\left(x^{6} + 2\right)} x}\,{d x}"," ",0,"integrate(sqrt(x^6 - 1)*(x^6 - 2)/((x^6 + 2)*x), x)","F",0
647,0,0,0,0.000000," ","integrate((x^6-x^2-1)^(1/2)*(2*x^6+1)/(x^6-1)/(2*x^6+x^2-2),x, algorithm=""maxima"")","\int \frac{{\left(2 \, x^{6} + 1\right)} \sqrt{x^{6} - x^{2} - 1}}{{\left(2 \, x^{6} + x^{2} - 2\right)} {\left(x^{6} - 1\right)}}\,{d x}"," ",0,"integrate((2*x^6 + 1)*sqrt(x^6 - x^2 - 1)/((2*x^6 + x^2 - 2)*(x^6 - 1)), x)","F",0
648,0,0,0,0.000000," ","integrate(x*(5*a*x^3-8*b)/(a*x^3-b)^(1/4)/(x^8-a*x^3+b),x, algorithm=""maxima"")","\int \frac{{\left(5 \, a x^{3} - 8 \, b\right)} x}{{\left(x^{8} - a x^{3} + b\right)} {\left(a x^{3} - b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((5*a*x^3 - 8*b)*x/((x^8 - a*x^3 + b)*(a*x^3 - b)^(1/4)), x)","F",0
649,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{9 \, x^{3} + x^{2} - 16 \, x - 2}{{\left(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)} {\left(x^{2} - 2\right)} \left(\frac{x + 1}{x^{2} - 2}\right)^{\frac{1}{4}}}\,{d x}"," ",0,"-integrate((9*x^3 + x^2 - 16*x - 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^2 - 2)*((x + 1)/(x^2 - 2))^(1/4)), x)","F",0
650,0,0,0,0.000000," ","integrate((7*x^8-1)/(x^8+1)/(3*x^16-x^9+6*x^8+x^2-x+3)^(1/2),x, algorithm=""maxima"")","\int \frac{7 \, x^{8} - 1}{\sqrt{3 \, x^{16} - x^{9} + 6 \, x^{8} + x^{2} - x + 3} {\left(x^{8} + 1\right)}}\,{d x}"," ",0,"integrate((7*x^8 - 1)/(sqrt(3*x^16 - x^9 + 6*x^8 + x^2 - x + 3)*(x^8 + 1)), x)","F",0
651,0,0,0,0.000000," ","integrate((1+(x^2+1)^(1/2))^(1/2)/x^2/(x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{\sqrt{x^{2} + 1} + 1}}{\sqrt{x^{2} + 1} x^{2}}\,{d x}"," ",0,"integrate(sqrt(sqrt(x^2 + 1) + 1)/(sqrt(x^2 + 1)*x^2), x)","F",0
652,1,71,0,0.428887," ","integrate(x/(x+(1+(1+x)^(1/2))^(1/2)),x, algorithm=""maxima"")","{\left(\sqrt{x + 1} + 1\right)}^{2} - \frac{4}{5} \, \sqrt{5} \log\left(-\frac{\sqrt{5} - 2 \, \sqrt{\sqrt{x + 1} + 1} - 1}{\sqrt{5} + 2 \, \sqrt{\sqrt{x + 1} + 1} + 1}\right) - 2 \, \sqrt{x + 1} - 4 \, \sqrt{\sqrt{x + 1} + 1} - 2"," ",0,"(sqrt(x + 1) + 1)^2 - 4/5*sqrt(5)*log(-(sqrt(5) - 2*sqrt(sqrt(x + 1) + 1) - 1)/(sqrt(5) + 2*sqrt(sqrt(x + 1) + 1) + 1)) - 2*sqrt(x + 1) - 4*sqrt(sqrt(x + 1) + 1) - 2","A",0
653,0,0,0,0.000000," ","integrate((a+2*x)/(a*x+x^2+b)^(1/4)/(2*a*x+2*x^2+2*b-1),x, algorithm=""maxima"")","\int \frac{a + 2 \, x}{{\left(2 \, a x + 2 \, x^{2} + 2 \, b - 1\right)} {\left(a x + x^{2} + b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((a + 2*x)/((2*a*x + 2*x^2 + 2*b - 1)*(a*x + x^2 + b)^(1/4)), x)","F",0
654,1,74,0,0.423501," ","integrate(1/x^7/(x^3+1)^(1/4),x, algorithm=""maxima"")","-\frac{5 \, {\left(x^{3} + 1\right)}^{\frac{7}{4}} - 9 \, {\left(x^{3} + 1\right)}^{\frac{3}{4}}}{24 \, {\left(2 \, x^{3} - {\left(x^{3} + 1\right)}^{2} + 1\right)}} + \frac{5}{48} \, \arctan\left({\left(x^{3} + 1\right)}^{\frac{1}{4}}\right) - \frac{5}{96} \, \log\left({\left(x^{3} + 1\right)}^{\frac{1}{4}} + 1\right) + \frac{5}{96} \, \log\left({\left(x^{3} + 1\right)}^{\frac{1}{4}} - 1\right)"," ",0,"-1/24*(5*(x^3 + 1)^(7/4) - 9*(x^3 + 1)^(3/4))/(2*x^3 - (x^3 + 1)^2 + 1) + 5/48*arctan((x^3 + 1)^(1/4)) - 5/96*log((x^3 + 1)^(1/4) + 1) + 5/96*log((x^3 + 1)^(1/4) - 1)","A",0
655,1,72,0,0.416987," ","integrate((x^3+1)^(1/4)/x^7,x, algorithm=""maxima"")","\frac{{\left(x^{3} + 1\right)}^{\frac{5}{4}} + 3 \, {\left(x^{3} + 1\right)}^{\frac{1}{4}}}{24 \, {\left(2 \, x^{3} - {\left(x^{3} + 1\right)}^{2} + 1\right)}} + \frac{1}{16} \, \arctan\left({\left(x^{3} + 1\right)}^{\frac{1}{4}}\right) + \frac{1}{32} \, \log\left({\left(x^{3} + 1\right)}^{\frac{1}{4}} + 1\right) - \frac{1}{32} \, \log\left({\left(x^{3} + 1\right)}^{\frac{1}{4}} - 1\right)"," ",0,"1/24*((x^3 + 1)^(5/4) + 3*(x^3 + 1)^(1/4))/(2*x^3 - (x^3 + 1)^2 + 1) + 1/16*arctan((x^3 + 1)^(1/4)) + 1/32*log((x^3 + 1)^(1/4) + 1) - 1/32*log((x^3 + 1)^(1/4) - 1)","A",0
656,1,63,0,0.415421," ","integrate((a*x^3+b)^(1/2)*(a*x^3+2*b)/x,x, algorithm=""maxima"")","\frac{2}{3} \, {\left(\sqrt{b} \log\left(\frac{\sqrt{a x^{3} + b} - \sqrt{b}}{\sqrt{a x^{3} + b} + \sqrt{b}}\right) + 2 \, \sqrt{a x^{3} + b}\right)} b + \frac{2}{9} \, {\left(a x^{3} + b\right)}^{\frac{3}{2}}"," ",0,"2/3*(sqrt(b)*log((sqrt(a*x^3 + b) - sqrt(b))/(sqrt(a*x^3 + b) + sqrt(b))) + 2*sqrt(a*x^3 + b))*b + 2/9*(a*x^3 + b)^(3/2)","A",0
657,0,0,0,0.000000," ","integrate((x^3+1)*(x^6-1)^(1/2)/x^13/(x^3-1),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{6} - 1} {\left(x^{3} + 1\right)}}{{\left(x^{3} - 1\right)} x^{13}}\,{d x}"," ",0,"integrate(sqrt(x^6 - 1)*(x^3 + 1)/((x^3 - 1)*x^13), x)","F",0
658,0,0,0,0.000000," ","integrate((x^4+x)^(1/2)*(a*x^6-b)/x^6,x, algorithm=""maxima"")","\int \frac{{\left(a x^{6} - b\right)} \sqrt{x^{4} + x}}{x^{6}}\,{d x}"," ",0,"integrate((a*x^6 - b)*sqrt(x^4 + x)/x^6, x)","F",0
659,0,0,0,0.000000," ","integrate((5*a*x^3-7*b*x)/(a*x^3-b*x)^(1/4)/(x^7-a*x^2+b),x, algorithm=""maxima"")","\int \frac{5 \, a x^{3} - 7 \, b x}{{\left(x^{7} - a x^{2} + b\right)} {\left(a x^{3} - b x\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((5*a*x^3 - 7*b*x)/((x^7 - a*x^2 + b)*(a*x^3 - b*x)^(1/4)), x)","F",0
660,0,0,0,0.000000," ","integrate((3*x^5+x)/(x^5-x)^(1/2)/(x^8-2*x^4-a*x^2+1),x, algorithm=""maxima"")","\int \frac{3 \, x^{5} + x}{{\left(x^{8} - 2 \, x^{4} - a x^{2} + 1\right)} \sqrt{x^{5} - x}}\,{d x}"," ",0,"integrate((3*x^5 + x)/((x^8 - 2*x^4 - a*x^2 + 1)*sqrt(x^5 - x)), x)","F",0
661,0,0,0,0.000000," ","integrate((3*x^5+x)/(x^5-x)^(1/2)/(a*x^8-2*a*x^4-x^2+a),x, algorithm=""maxima"")","\int \frac{3 \, x^{5} + x}{{\left(a x^{8} - 2 \, a x^{4} - x^{2} + a\right)} \sqrt{x^{5} - x}}\,{d x}"," ",0,"integrate((3*x^5 + x)/((a*x^8 - 2*a*x^4 - x^2 + a)*sqrt(x^5 - x)), x)","F",0
662,0,0,0,0.000000," ","integrate((4*x^6+x)/(x^6-x)^(1/2)/(x^10-2*x^5-a*x^2+1),x, algorithm=""maxima"")","\int \frac{4 \, x^{6} + x}{{\left(x^{10} - 2 \, x^{5} - a x^{2} + 1\right)} \sqrt{x^{6} - x}}\,{d x}"," ",0,"integrate((4*x^6 + x)/((x^10 - 2*x^5 - a*x^2 + 1)*sqrt(x^6 - x)), x)","F",0
663,0,0,0,0.000000," ","integrate((4*x^6+x)/(x^6-x)^(1/2)/(a*x^10-2*a*x^5-x^2+a),x, algorithm=""maxima"")","\int \frac{4 \, x^{6} + x}{{\left(a x^{10} - 2 \, a x^{5} - x^{2} + a\right)} \sqrt{x^{6} - x}}\,{d x}"," ",0,"integrate((4*x^6 + x)/((a*x^10 - 2*a*x^5 - x^2 + a)*sqrt(x^6 - x)), x)","F",0
664,0,0,0,0.000000," ","integrate(1/(-5+2*x)^2/(x^2-4*x+4)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{2} - 4 \, x + 4\right)}^{\frac{1}{4}} {\left(2 \, x - 5\right)}^{2}}\,{d x}"," ",0,"integrate(1/((x^2 - 4*x + 4)^(1/4)*(2*x - 5)^2), x)","F",0
665,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(2 \, x^{3} - x^{2} + 2\right)} \sqrt{x^{3} + 1} {\left(x^{3} - 2\right)}}{{\left(x^{3} - 3 \, x^{2} + 1\right)} x^{4}}\,{d x}"," ",0,"integrate((2*x^3 - x^2 + 2)*sqrt(x^3 + 1)*(x^3 - 2)/((x^3 - 3*x^2 + 1)*x^4), x)","F",0
666,1,63,0,0.665529," ","integrate((a*x^3-b)*(a*x^3+b)^(1/2)/x,x, algorithm=""maxima"")","-\frac{1}{3} \, {\left(\sqrt{b} \log\left(\frac{\sqrt{a x^{3} + b} - \sqrt{b}}{\sqrt{a x^{3} + b} + \sqrt{b}}\right) + 2 \, \sqrt{a x^{3} + b}\right)} b + \frac{2}{9} \, {\left(a x^{3} + b\right)}^{\frac{3}{2}}"," ",0,"-1/3*(sqrt(b)*log((sqrt(a*x^3 + b) - sqrt(b))/(sqrt(a*x^3 + b) + sqrt(b))) + 2*sqrt(a*x^3 + b))*b + 2/9*(a*x^3 + b)^(3/2)","A",0
667,0,0,0,0.000000," ","integrate(x^2/(x^4-1)/(x^4+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{\sqrt{x^{4} + 1} {\left(x^{4} - 1\right)}}\,{d x}"," ",0,"integrate(x^2/(sqrt(x^4 + 1)*(x^4 - 1)), x)","F",0
668,0,0,0,0.000000," ","integrate((x^4+1)^(1/2)/(x^4-1),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{4} + 1}}{x^{4} - 1}\,{d x}"," ",0,"integrate(sqrt(x^4 + 1)/(x^4 - 1), x)","F",0
669,0,0,0,0.000000," ","integrate((a*x^3+b)*(x^4+x)^(1/2),x, algorithm=""maxima"")","\int {\left(a x^{3} + b\right)} \sqrt{x^{4} + x}\,{d x}"," ",0,"integrate((a*x^3 + b)*sqrt(x^4 + x), x)","F",0
670,0,0,0,0.000000," ","integrate((x^4+x^2)^(1/4),x, algorithm=""maxima"")","\int {\left(x^{4} + x^{2}\right)}^{\frac{1}{4}}\,{d x}"," ",0,"integrate((x^4 + x^2)^(1/4), x)","F",0
671,0,0,0,0.000000," ","integrate((x^4-1)*(x^4+1)^(1/2)/(x^4+3*x^2+1)^2,x, algorithm=""maxima"")","\int \frac{\sqrt{x^{4} + 1} {\left(x^{4} - 1\right)}}{{\left(x^{4} + 3 \, x^{2} + 1\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(x^4 + 1)*(x^4 - 1)/(x^4 + 3*x^2 + 1)^2, x)","F",0
672,0,0,0,0.000000," ","integrate(1/x^8/(x^4+x^3)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x^{8}}\,{d x}"," ",0,"integrate(1/((x^4 + x^3)^(1/4)*x^8), x)","F",0
673,0,0,0,0.000000," ","integrate((1+4*x)/(x^4+2*x^3+3*x^2-2*x+1)^(1/2),x, algorithm=""maxima"")","\int \frac{4 \, x + 1}{\sqrt{x^{4} + 2 \, x^{3} + 3 \, x^{2} - 2 \, x + 1}}\,{d x}"," ",0,"integrate((4*x + 1)/sqrt(x^4 + 2*x^3 + 3*x^2 - 2*x + 1), x)","F",0
674,0,0,0,0.000000," ","integrate(1/(x^4-1)^(1/4)/(3*x^4+1),x, algorithm=""maxima"")","\int \frac{1}{{\left(3 \, x^{4} + 1\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((3*x^4 + 1)*(x^4 - 1)^(1/4)), x)","F",0
675,0,0,0,0.000000," ","integrate((a*x^4-3*b)/(a*x^4-x^3+b)/(a*x^5+b*x)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{4} - 3 \, b}{{\left(a x^{5} + b x\right)}^{\frac{1}{4}} {\left(a x^{4} - x^{3} + b\right)}}\,{d x}"," ",0,"integrate((a*x^4 - 3*b)/((a*x^5 + b*x)^(1/4)*(a*x^4 - x^3 + b)), x)","F",0
676,1,134,0,0.312292," ","integrate(x^20*(x^6-1)^(1/2),x, algorithm=""maxima"")","-\frac{\frac{15 \, \sqrt{x^{6} - 1}}{x^{3}} + \frac{73 \, {\left(x^{6} - 1\right)}^{\frac{3}{2}}}{x^{9}} - \frac{55 \, {\left(x^{6} - 1\right)}^{\frac{5}{2}}}{x^{15}} + \frac{15 \, {\left(x^{6} - 1\right)}^{\frac{7}{2}}}{x^{21}}}{1152 \, {\left(\frac{4 \, {\left(x^{6} - 1\right)}}{x^{6}} - \frac{6 \, {\left(x^{6} - 1\right)}^{2}}{x^{12}} + \frac{4 \, {\left(x^{6} - 1\right)}^{3}}{x^{18}} - \frac{{\left(x^{6} - 1\right)}^{4}}{x^{24}} - 1\right)}} - \frac{5}{768} \, \log\left(\frac{\sqrt{x^{6} - 1}}{x^{3}} + 1\right) + \frac{5}{768} \, \log\left(\frac{\sqrt{x^{6} - 1}}{x^{3}} - 1\right)"," ",0,"-1/1152*(15*sqrt(x^6 - 1)/x^3 + 73*(x^6 - 1)^(3/2)/x^9 - 55*(x^6 - 1)^(5/2)/x^15 + 15*(x^6 - 1)^(7/2)/x^21)/(4*(x^6 - 1)/x^6 - 6*(x^6 - 1)^2/x^12 + 4*(x^6 - 1)^3/x^18 - (x^6 - 1)^4/x^24 - 1) - 5/768*log(sqrt(x^6 - 1)/x^3 + 1) + 5/768*log(sqrt(x^6 - 1)/x^3 - 1)","B",0
677,0,0,0,0.000000," ","integrate((x^3-1)*(x^6-1)^(1/2)/x^4/(x^3+1),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{6} - 1} {\left(x^{3} - 1\right)}}{{\left(x^{3} + 1\right)} x^{4}}\,{d x}"," ",0,"integrate(sqrt(x^6 - 1)*(x^3 - 1)/((x^3 + 1)*x^4), x)","F",0
678,0,0,0,0.000000," ","integrate((x^6+1)/(x^4-x^2+1)^(1/2)/(-x^6+1),x, algorithm=""maxima"")","-\int \frac{x^{6} + 1}{{\left(x^{6} - 1\right)} \sqrt{x^{4} - x^{2} + 1}}\,{d x}"," ",0,"-integrate((x^6 + 1)/((x^6 - 1)*sqrt(x^4 - x^2 + 1)), x)","F",0
679,0,0,0,0.000000," ","integrate((x^6-2)*(x^6-1)^(1/2)/x^7/(x^6+2),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{6} - 1} {\left(x^{6} - 2\right)}}{{\left(x^{6} + 2\right)} x^{7}}\,{d x}"," ",0,"integrate(sqrt(x^6 - 1)*(x^6 - 2)/((x^6 + 2)*x^7), x)","F",0
680,0,0,0,0.000000," ","integrate(x*(5*a*x-6*b)/(a*x^3-b*x^2)^(1/4)/(x^6-a*x+b),x, algorithm=""maxima"")","\int \frac{{\left(5 \, a x - 6 \, b\right)} x}{{\left(x^{6} - a x + b\right)} {\left(a x^{3} - b x^{2}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((5*a*x - 6*b)*x/((x^6 - a*x + b)*(a*x^3 - b*x^2)^(1/4)), x)","F",0
681,0,0,0,0.000000," ","integrate((x^3+1)^(1/2)*(x^6+2*x^3+2)/x/(x^6-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} + 2 \, x^{3} + 2\right)} \sqrt{x^{3} + 1}}{{\left(x^{6} - 1\right)} x}\,{d x}"," ",0,"integrate((x^6 + 2*x^3 + 2)*sqrt(x^3 + 1)/((x^6 - 1)*x), x)","F",0
682,0,0,0,0.000000," ","integrate((x^4-1)*(x^4+1)^(1/2)/(x^8+1),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{4} + 1} {\left(x^{4} - 1\right)}}{x^{8} + 1}\,{d x}"," ",0,"integrate(sqrt(x^4 + 1)*(x^4 - 1)/(x^8 + 1), x)","F",0
683,0,0,0,0.000000," ","integrate((x^8-1)/(x^4+1)^(1/2)/(x^8+1),x, algorithm=""maxima"")","\int \frac{x^{8} - 1}{{\left(x^{8} + 1\right)} \sqrt{x^{4} + 1}}\,{d x}"," ",0,"integrate((x^8 - 1)/((x^8 + 1)*sqrt(x^4 + 1)), x)","F",0
684,0,0,0,0.000000," ","integrate((x^4-2)^(1/2)*(x^4+2)/(x^8-6*x^4+4),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + 2\right)} \sqrt{x^{4} - 2}}{x^{8} - 6 \, x^{4} + 4}\,{d x}"," ",0,"integrate((x^4 + 2)*sqrt(x^4 - 2)/(x^8 - 6*x^4 + 4), x)","F",0
685,0,0,0,0.000000," ","integrate((a*x^4-2*b)/(a*x^4-b)^(1/4)/(2*x^8+a*x^4-b),x, algorithm=""maxima"")","\int \frac{a x^{4} - 2 \, b}{{\left(2 \, x^{8} + a x^{4} - b\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((a*x^4 - 2*b)/((2*x^8 + a*x^4 - b)*(a*x^4 - b)^(1/4)), x)","F",0
686,0,0,0,0.000000," ","integrate(1/x^2/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x + \sqrt{x^{2} + 1}} x^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(x + sqrt(x^2 + 1))*x^2), x)","F",0
687,0,0,0,0.000000," ","integrate((-1+k^(1/2)*x)/(1+k^(1/2)*x)/((-x^2+1)*(-k^2*x^2+1))^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{k} x - 1}{\sqrt{{\left(k^{2} x^{2} - 1\right)} {\left(x^{2} - 1\right)}} {\left(\sqrt{k} x + 1\right)}}\,{d x}"," ",0,"integrate((sqrt(k)*x - 1)/(sqrt((k^2*x^2 - 1)*(x^2 - 1))*(sqrt(k)*x + 1)), x)","F",0
688,0,0,0,0.000000," ","integrate((1+k^(1/2)*x)/(-1+k^(1/2)*x)/((-x^2+1)*(-k^2*x^2+1))^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{k} x + 1}{\sqrt{{\left(k^{2} x^{2} - 1\right)} {\left(x^{2} - 1\right)}} {\left(\sqrt{k} x - 1\right)}}\,{d x}"," ",0,"integrate((sqrt(k)*x + 1)/(sqrt((k^2*x^2 - 1)*(x^2 - 1))*(sqrt(k)*x - 1)), x)","F",0
689,0,0,0,0.000000," ","integrate((2+x)/(-1+x)/(-a*x^2+x^3+3*x-1)^(1/2),x, algorithm=""maxima"")","\int \frac{x + 2}{\sqrt{-a x^{2} + x^{3} + 3 \, x - 1} {\left(x - 1\right)}}\,{d x}"," ",0,"integrate((x + 2)/(sqrt(-a*x^2 + x^3 + 3*x - 1)*(x - 1)), x)","F",0
690,0,0,0,0.000000," ","integrate((-2+x)/(1+x)/(-a*x^2+x^3+3*x+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x - 2}{\sqrt{-a x^{2} + x^{3} + 3 \, x + 1} {\left(x + 1\right)}}\,{d x}"," ",0,"integrate((x - 2)/(sqrt(-a*x^2 + x^3 + 3*x + 1)*(x + 1)), x)","F",0
691,1,83,0,0.420579," ","integrate((x^4-1)*(x^4+1)^(1/4)/x^2,x, algorithm=""maxima"")","\frac{{\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x} + \frac{{\left(x^{4} + 1\right)}^{\frac{1}{4}}}{4 \, x {\left(\frac{x^{4} + 1}{x^{4}} - 1\right)}} - \frac{3}{8} \, \arctan\left(\frac{{\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right) - \frac{3}{16} \, \log\left(\frac{{\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x} + 1\right) + \frac{3}{16} \, \log\left(\frac{{\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x} - 1\right)"," ",0,"(x^4 + 1)^(1/4)/x + 1/4*(x^4 + 1)^(1/4)/(x*((x^4 + 1)/x^4 - 1)) - 3/8*arctan((x^4 + 1)^(1/4)/x) - 3/16*log((x^4 + 1)^(1/4)/x + 1) + 3/16*log((x^4 + 1)^(1/4)/x - 1)","A",0
692,0,0,0,0.000000," ","integrate((a*x^2+2*b)/(a*x^2+b)^(1/4)/(x^4-2*a*x^2-2*b),x, algorithm=""maxima"")","\int \frac{a x^{2} + 2 \, b}{{\left(x^{4} - 2 \, a x^{2} - 2 \, b\right)} {\left(a x^{2} + b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((a*x^2 + 2*b)/((x^4 - 2*a*x^2 - 2*b)*(a*x^2 + b)^(1/4)), x)","F",0
693,0,0,0,0.000000," ","integrate((x^4-x^3)^(1/4)/x,x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x}\,{d x}"," ",0,"integrate((x^4 - x^3)^(1/4)/x, x)","F",0
694,1,58,0,0.430530," ","integrate((x^3-1)*(x^6-1)^(1/2)/x^13,x, algorithm=""maxima"")","-\frac{{\left(x^{6} - 1\right)}^{\frac{3}{2}} - \sqrt{x^{6} - 1}}{24 \, {\left(2 \, x^{6} + {\left(x^{6} - 1\right)}^{2} - 1\right)}} + \frac{{\left(x^{6} - 1\right)}^{\frac{3}{2}}}{9 \, x^{9}} - \frac{1}{24} \, \arctan\left(\sqrt{x^{6} - 1}\right)"," ",0,"-1/24*((x^6 - 1)^(3/2) - sqrt(x^6 - 1))/(2*x^6 + (x^6 - 1)^2 - 1) + 1/9*(x^6 - 1)^(3/2)/x^9 - 1/24*arctan(sqrt(x^6 - 1))","A",0
695,0,0,0,0.000000," ","integrate((x^3+2)*(-x^4+x)^(1/3)/(x^6-x^5-x^4-2*x^3+x^2+1),x, algorithm=""maxima"")","\int \frac{{\left(-x^{4} + x\right)}^{\frac{1}{3}} {\left(x^{3} + 2\right)}}{x^{6} - x^{5} - x^{4} - 2 \, x^{3} + x^{2} + 1}\,{d x}"," ",0,"integrate((-x^4 + x)^(1/3)*(x^3 + 2)/(x^6 - x^5 - x^4 - 2*x^3 + x^2 + 1), x)","F",0
696,0,0,0,0.000000," ","integrate((x^3+2)*(-x^4+x)^(1/3)/(x^6-x^5-x^4-2*x^3+x^2+1),x, algorithm=""maxima"")","\int \frac{{\left(-x^{4} + x\right)}^{\frac{1}{3}} {\left(x^{3} + 2\right)}}{x^{6} - x^{5} - x^{4} - 2 \, x^{3} + x^{2} + 1}\,{d x}"," ",0,"integrate((-x^4 + x)^(1/3)*(x^3 + 2)/(x^6 - x^5 - x^4 - 2*x^3 + x^2 + 1), x)","F",0
697,0,0,0,0.000000," ","integrate(1/(x^8+2*x^4+1)^(1/8),x, algorithm=""maxima"")","\frac{x}{{\left(x^{4} + 1\right)}^{\frac{1}{4}}} + \int \frac{x^{4}}{{\left(x^{4} + 1\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"x/(x^4 + 1)^(1/4) + integrate(x^4/(x^4 + 1)^(5/4), x)","F",0
698,0,0,0,0.000000," ","integrate(1/x/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x + \sqrt{x^{2} + 1}} x}\,{d x}"," ",0,"integrate(1/(sqrt(x + sqrt(x^2 + 1))*x), x)","F",0
699,-2,0,0,0.000000," ","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=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(k-1>0)', see `assume?` for more details)Is k-1 positive, negative or zero?","F(-2)",0
700,1,57,0,0.413293," ","integrate(1/x/(a*x^3+b)^(3/4),x, algorithm=""maxima"")","-\frac{2 \, \arctan\left(\frac{{\left(a x^{3} + b\right)}^{\frac{1}{4}}}{b^{\frac{1}{4}}}\right)}{3 \, b^{\frac{3}{4}}} + \frac{\log\left(\frac{{\left(a x^{3} + b\right)}^{\frac{1}{4}} - b^{\frac{1}{4}}}{{\left(a x^{3} + b\right)}^{\frac{1}{4}} + b^{\frac{1}{4}}}\right)}{3 \, b^{\frac{3}{4}}}"," ",0,"-2/3*arctan((a*x^3 + b)^(1/4)/b^(1/4))/b^(3/4) + 1/3*log(((a*x^3 + b)^(1/4) - b^(1/4))/((a*x^3 + b)^(1/4) + b^(1/4)))/b^(3/4)","A",0
701,1,107,0,0.429290," ","integrate((a*x^3-b)*(a*x^3+b)^(1/2)/x^4,x, algorithm=""maxima"")","\frac{1}{3} \, {\left(\sqrt{b} \log\left(\frac{\sqrt{a x^{3} + b} - \sqrt{b}}{\sqrt{a x^{3} + b} + \sqrt{b}}\right) + 2 \, \sqrt{a x^{3} + b}\right)} a - \frac{1}{6} \, {\left(\frac{a \log\left(\frac{\sqrt{a x^{3} + b} - \sqrt{b}}{\sqrt{a x^{3} + b} + \sqrt{b}}\right)}{\sqrt{b}} - \frac{2 \, \sqrt{a x^{3} + b}}{x^{3}}\right)} b"," ",0,"1/3*(sqrt(b)*log((sqrt(a*x^3 + b) - sqrt(b))/(sqrt(a*x^3 + b) + sqrt(b))) + 2*sqrt(a*x^3 + b))*a - 1/6*(a*log((sqrt(a*x^3 + b) - sqrt(b))/(sqrt(a*x^3 + b) + sqrt(b)))/sqrt(b) - 2*sqrt(a*x^3 + b)/x^3)*b","B",0
702,-2,0,0,0.000000," ","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=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(k-1>0)', see `assume?` for more details)Is k-1 positive, negative or zero?","F(-2)",0
703,1,79,0,0.428899," ","integrate((2+x)/x/(x^4+1)^(1/4),x, algorithm=""maxima"")","\arctan\left({\left(x^{4} + 1\right)}^{\frac{1}{4}}\right) - \frac{1}{2} \, \arctan\left(\frac{{\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{2} \, \log\left({\left(x^{4} + 1\right)}^{\frac{1}{4}} + 1\right) + \frac{1}{2} \, \log\left({\left(x^{4} + 1\right)}^{\frac{1}{4}} - 1\right) + \frac{1}{4} \, \log\left(\frac{{\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x} + 1\right) - \frac{1}{4} \, \log\left(\frac{{\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x} - 1\right)"," ",0,"arctan((x^4 + 1)^(1/4)) - 1/2*arctan((x^4 + 1)^(1/4)/x) - 1/2*log((x^4 + 1)^(1/4) + 1) + 1/2*log((x^4 + 1)^(1/4) - 1) + 1/4*log((x^4 + 1)^(1/4)/x + 1) - 1/4*log((x^4 + 1)^(1/4)/x - 1)","A",0
704,1,99,0,0.419866," ","integrate(x^6*(x^4+1)^(1/4),x, algorithm=""maxima"")","-\frac{\frac{3 \, {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x} + \frac{{\left(x^{4} + 1\right)}^{\frac{5}{4}}}{x^{5}}}{32 \, {\left(\frac{2 \, {\left(x^{4} + 1\right)}}{x^{4}} - \frac{{\left(x^{4} + 1\right)}^{2}}{x^{8}} - 1\right)}} - \frac{3}{64} \, \arctan\left(\frac{{\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right) - \frac{3}{128} \, \log\left(\frac{{\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x} + 1\right) + \frac{3}{128} \, \log\left(\frac{{\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x} - 1\right)"," ",0,"-1/32*(3*(x^4 + 1)^(1/4)/x + (x^4 + 1)^(5/4)/x^5)/(2*(x^4 + 1)/x^4 - (x^4 + 1)^2/x^8 - 1) - 3/64*arctan((x^4 + 1)^(1/4)/x) - 3/128*log((x^4 + 1)^(1/4)/x + 1) + 3/128*log((x^4 + 1)^(1/4)/x - 1)","B",0
705,0,0,0,0.000000," ","integrate((x^4-x)^(1/4)/x^2,x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - x\right)}^{\frac{1}{4}}}{x^{2}}\,{d x}"," ",0,"integrate((x^4 - x)^(1/4)/x^2, x)","F",0
706,0,0,0,0.000000," ","integrate(x*(x^4-x)^(1/4),x, algorithm=""maxima"")","\int {\left(x^{4} - x\right)}^{\frac{1}{4}} x\,{d x}"," ",0,"integrate((x^4 - x)^(1/4)*x, x)","F",0
707,0,0,0,0.000000," ","integrate((a*x^3-b)*(x^4-x)^(1/2)/x^3,x, algorithm=""maxima"")","\int \frac{{\left(a x^{3} - b\right)} \sqrt{x^{4} - x}}{x^{3}}\,{d x}"," ",0,"integrate((a*x^3 - b)*sqrt(x^4 - x)/x^3, x)","F",0
708,0,0,0,0.000000," ","integrate((x^4-x^3)^(1/4)/x^2,x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x^{2}}\,{d x}"," ",0,"integrate((x^4 - x^3)^(1/4)/x^2, x)","F",0
709,0,0,0,0.000000," ","integrate(x/(x^4+6*x^3-11*x^2+18*x-17)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{x^{4} + 6 \, x^{3} - 11 \, x^{2} + 18 \, x - 17}}\,{d x}"," ",0,"integrate(x/sqrt(x^4 + 6*x^3 - 11*x^2 + 18*x - 17), x)","F",0
710,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(2 \, x^{4} + x + 2\right)} \sqrt{x^{4} - x^{2} - x - 1}}{{\left(x^{4} + x^{2} - x - 1\right)} {\left(x^{4} - x - 1\right)}}\,{d x}"," ",0,"integrate((2*x^4 + x + 2)*sqrt(x^4 - x^2 - x - 1)/((x^4 + x^2 - x - 1)*(x^4 - x - 1)), x)","F",0
711,1,57,0,0.429649," ","integrate(1/x/(a*x^4+b)^(3/4),x, algorithm=""maxima"")","-\frac{\arctan\left(\frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{b^{\frac{1}{4}}}\right)}{2 \, b^{\frac{3}{4}}} + \frac{\log\left(\frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}} - b^{\frac{1}{4}}}{{\left(a x^{4} + b\right)}^{\frac{1}{4}} + b^{\frac{1}{4}}}\right)}{4 \, b^{\frac{3}{4}}}"," ",0,"-1/2*arctan((a*x^4 + b)^(1/4)/b^(1/4))/b^(3/4) + 1/4*log(((a*x^4 + b)^(1/4) - b^(1/4))/((a*x^4 + b)^(1/4) + b^(1/4)))/b^(3/4)","A",0
712,1,57,0,0.429106," ","integrate(1/x/(a*x^4+b)^(1/4),x, algorithm=""maxima"")","\frac{\arctan\left(\frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{b^{\frac{1}{4}}}\right)}{2 \, b^{\frac{1}{4}}} + \frac{\log\left(\frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}} - b^{\frac{1}{4}}}{{\left(a x^{4} + b\right)}^{\frac{1}{4}} + b^{\frac{1}{4}}}\right)}{4 \, b^{\frac{1}{4}}}"," ",0,"1/2*arctan((a*x^4 + b)^(1/4)/b^(1/4))/b^(1/4) + 1/4*log(((a*x^4 + b)^(1/4) - b^(1/4))/((a*x^4 + b)^(1/4) + b^(1/4)))/b^(1/4)","A",0
713,1,57,0,0.428774," ","integrate(1/x/(a*x^5+b)^(3/4),x, algorithm=""maxima"")","-\frac{2 \, \arctan\left(\frac{{\left(a x^{5} + b\right)}^{\frac{1}{4}}}{b^{\frac{1}{4}}}\right)}{5 \, b^{\frac{3}{4}}} + \frac{\log\left(\frac{{\left(a x^{5} + b\right)}^{\frac{1}{4}} - b^{\frac{1}{4}}}{{\left(a x^{5} + b\right)}^{\frac{1}{4}} + b^{\frac{1}{4}}}\right)}{5 \, b^{\frac{3}{4}}}"," ",0,"-2/5*arctan((a*x^5 + b)^(1/4)/b^(1/4))/b^(3/4) + 1/5*log(((a*x^5 + b)^(1/4) - b^(1/4))/((a*x^5 + b)^(1/4) + b^(1/4)))/b^(3/4)","A",0
714,1,77,0,0.431935," ","integrate((2*x^3+1)*(x^6-1)^(1/2)/x,x, algorithm=""maxima"")","\frac{1}{3} \, \sqrt{x^{6} - 1} - \frac{\sqrt{x^{6} - 1}}{3 \, x^{3} {\left(\frac{x^{6} - 1}{x^{6}} - 1\right)}} - \frac{1}{3} \, \arctan\left(\sqrt{x^{6} - 1}\right) - \frac{1}{6} \, \log\left(\frac{\sqrt{x^{6} - 1}}{x^{3}} + 1\right) + \frac{1}{6} \, \log\left(\frac{\sqrt{x^{6} - 1}}{x^{3}} - 1\right)"," ",0,"1/3*sqrt(x^6 - 1) - 1/3*sqrt(x^6 - 1)/(x^3*((x^6 - 1)/x^6 - 1)) - 1/3*arctan(sqrt(x^6 - 1)) - 1/6*log(sqrt(x^6 - 1)/x^3 + 1) + 1/6*log(sqrt(x^6 - 1)/x^3 - 1)","A",0
715,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{4} + x^{3} + x\right)}^{\frac{1}{3}} {\left(x^{3} - 2\right)}}{x^{6} + x^{5} + x^{4} + 2 \, x^{3} + x^{2} + 1}\,{d x}"," ",0,"integrate((x^4 + x^3 + x)^(1/3)*(x^3 - 2)/(x^6 + x^5 + x^4 + 2*x^3 + x^2 + 1), x)","F",0
716,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{4} + x^{3} + x\right)}^{\frac{1}{3}} {\left(x^{3} - 2\right)}}{x^{6} + x^{5} + x^{4} + 2 \, x^{3} + x^{2} + 1}\,{d x}"," ",0,"integrate((x^4 + x^3 + x)^(1/3)*(x^3 - 2)/(x^6 + x^5 + x^4 + 2*x^3 + x^2 + 1), x)","F",0
717,1,57,0,0.424499," ","integrate(1/x/(a*x^6+b)^(3/4),x, algorithm=""maxima"")","-\frac{\arctan\left(\frac{{\left(a x^{6} + b\right)}^{\frac{1}{4}}}{b^{\frac{1}{4}}}\right)}{3 \, b^{\frac{3}{4}}} + \frac{\log\left(\frac{{\left(a x^{6} + b\right)}^{\frac{1}{4}} - b^{\frac{1}{4}}}{{\left(a x^{6} + b\right)}^{\frac{1}{4}} + b^{\frac{1}{4}}}\right)}{6 \, b^{\frac{3}{4}}}"," ",0,"-1/3*arctan((a*x^6 + b)^(1/4)/b^(1/4))/b^(3/4) + 1/6*log(((a*x^6 + b)^(1/4) - b^(1/4))/((a*x^6 + b)^(1/4) + b^(1/4)))/b^(3/4)","A",0
718,0,0,0,0.000000," ","integrate((a*x^4-2*b)/(a*x^4+b)^(1/4)/(x^8+a*x^4-b),x, algorithm=""maxima"")","\int \frac{a x^{4} - 2 \, b}{{\left(x^{8} + a x^{4} - b\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((a*x^4 - 2*b)/((x^8 + a*x^4 - b)*(a*x^4 + b)^(1/4)), x)","F",0
719,0,0,0,0.000000," ","integrate((a*x^4-2*b)/(a*x^4+b)^(1/4)/(x^8+a*x^4-b),x, algorithm=""maxima"")","\int \frac{a x^{4} - 2 \, b}{{\left(x^{8} + a x^{4} - b\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((a*x^4 - 2*b)/((x^8 + a*x^4 - b)*(a*x^4 + b)^(1/4)), x)","F",0
720,0,0,0,0.000000," ","integrate(x^2/(a*x^4+b)^(3/4)/(a^2*x^8+b^2),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(a^{2} x^{8} + b^{2}\right)} {\left(a x^{4} + b\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(x^2/((a^2*x^8 + b^2)*(a*x^4 + b)^(3/4)), x)","F",0
721,0,0,0,0.000000," ","integrate(1/(-1+x)/(-x^(1/2)+x)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x - \sqrt{x}} {\left(x - 1\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(x - sqrt(x))*(x - 1)), x)","F",0
722,0,0,0,0.000000," ","integrate(1/(1+2*x)/(2*x^2+2*x+1)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(2 \, x^{2} + 2 \, x + 1\right)}^{\frac{1}{4}} {\left(2 \, x + 1\right)}}\,{d x}"," ",0,"integrate(1/((2*x^2 + 2*x + 1)^(1/4)*(2*x + 1)), x)","F",0
723,1,107,0,0.435729," ","integrate((a*x^3+b)^(1/2)*(a*x^3+2*b)/x^4,x, algorithm=""maxima"")","\frac{1}{3} \, {\left(\sqrt{b} \log\left(\frac{\sqrt{a x^{3} + b} - \sqrt{b}}{\sqrt{a x^{3} + b} + \sqrt{b}}\right) + 2 \, \sqrt{a x^{3} + b}\right)} a + \frac{1}{3} \, {\left(\frac{a \log\left(\frac{\sqrt{a x^{3} + b} - \sqrt{b}}{\sqrt{a x^{3} + b} + \sqrt{b}}\right)}{\sqrt{b}} - \frac{2 \, \sqrt{a x^{3} + b}}{x^{3}}\right)} b"," ",0,"1/3*(sqrt(b)*log((sqrt(a*x^3 + b) - sqrt(b))/(sqrt(a*x^3 + b) + sqrt(b))) + 2*sqrt(a*x^3 + b))*a + 1/3*(a*log((sqrt(a*x^3 + b) - sqrt(b))/(sqrt(a*x^3 + b) + sqrt(b)))/sqrt(b) - 2*sqrt(a*x^3 + b)/x^3)*b","B",0
724,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{p x^{3} + q} {\left(p x^{3} - 2 \, q\right)}}{{\left(a p x^{3} + b x^{2} + a q\right)} x^{2}}\,{d x}"," ",0,"integrate(sqrt(p*x^3 + q)*(p*x^3 - 2*q)/((a*p*x^3 + b*x^2 + a*q)*x^2), x)","F",0
725,0,0,0,0.000000," ","integrate((-1+2*x)/(x^4-10*x^3-3*x^2+4*x-8)^(1/2),x, algorithm=""maxima"")","\int \frac{2 \, x - 1}{\sqrt{x^{4} - 10 \, x^{3} - 3 \, x^{2} + 4 \, x - 8}}\,{d x}"," ",0,"integrate((2*x - 1)/sqrt(x^4 - 10*x^3 - 3*x^2 + 4*x - 8), x)","F",0
726,0,0,0,0.000000," ","integrate((-1+x)/(x^4-8*x^3+12*x^2-16*x+4)^(1/2),x, algorithm=""maxima"")","\int \frac{x - 1}{\sqrt{x^{4} - 8 \, x^{3} + 12 \, x^{2} - 16 \, x + 4}}\,{d x}"," ",0,"integrate((x - 1)/sqrt(x^4 - 8*x^3 + 12*x^2 - 16*x + 4), x)","F",0
727,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(3 \, p x^{5} - 2 \, q\right)} \sqrt{p x^{5} + q}}{{\left(a p x^{5} + b x^{2} + a q\right)} x^{2}}\,{d x}"," ",0,"integrate((3*p*x^5 - 2*q)*sqrt(p*x^5 + q)/((a*p*x^5 + b*x^2 + a*q)*x^2), x)","F",0
728,0,0,0,0.000000," ","integrate(x^2*(4*x^5-1)/(x^5+1)^2/(a*x^5+a-x)/(x^6+x)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(4 \, x^{5} - 1\right)} x^{2}}{{\left(a x^{5} + a - x\right)} \sqrt{x^{6} + x} {\left(x^{5} + 1\right)}^{2}}\,{d x}"," ",0,"integrate((4*x^5 - 1)*x^2/((a*x^5 + a - x)*sqrt(x^6 + x)*(x^5 + 1)^2), x)","F",0
729,0,0,0,0.000000," ","integrate((x^4-x)^(1/2)*(a*x^6-b)/x^6,x, algorithm=""maxima"")","\int \frac{{\left(a x^{6} - b\right)} \sqrt{x^{4} - x}}{x^{6}}\,{d x}"," ",0,"integrate((a*x^6 - b)*sqrt(x^4 - x)/x^6, x)","F",0
730,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{p x^{6} + q} {\left(p x^{6} - 2 \, q\right)}}{{\left(a p x^{6} + b x^{4} + a q\right)} x^{3}}\,{d x}"," ",0,"integrate(sqrt(p*x^6 + q)*(p*x^6 - 2*q)/((a*p*x^6 + b*x^4 + a*q)*x^3), x)","F",0
731,1,52,0,0.367374," ","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=""maxima"")","\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
732,0,0,0,0.000000," ","integrate(1/x^3/(x^8-16*x^6+96*x^4-256*x^2+256)^(1/8),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{8} - 16 \, x^{6} + 96 \, x^{4} - 256 \, x^{2} + 256\right)}^{\frac{1}{8}} x^{3}}\,{d x}"," ",0,"integrate(1/((x^8 - 16*x^6 + 96*x^4 - 256*x^2 + 256)^(1/8)*x^3), x)","F",0
733,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(8 \, a x^{3} + 5 \, b\right)} x^{3}}{{\left(a x^{8} + b x^{5} - 2\right)} {\left(a x^{4} + b x\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((8*a*x^3 + 5*b)*x^3/((a*x^8 + b*x^5 - 2)*(a*x^4 + b*x)^(1/4)), x)","F",0
734,-2,0,0,0.000000," ","integrate((-y^4-x^2+1)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume((y-1)*(y+1)>0)', see `assume?` for more details)Is (y-1)*(y+1) positive or negative?","F(-2)",0
735,0,0,0,0.000000," ","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=""maxima"")","\int \frac{k^{2} x^{2} - 2 \, k^{2} x + 1}{\sqrt{{\left(k^{2} x - 1\right)} {\left(x - 1\right)} x} {\left({\left(a k^{2} + b k^{2}\right)} x^{2} - b x - a\right)}}\,{d x}"," ",0,"integrate((k^2*x^2 - 2*k^2*x + 1)/(sqrt((k^2*x - 1)*(x - 1)*x)*((a*k^2 + b*k^2)*x^2 - b*x - a)), x)","F",0
736,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{a b c - {\left(a + b + c\right)} x^{2} + 2 \, x^{3}}{{\left(a b c d + {\left(a + b + c\right)} d x^{2} - d x^{3} - {\left(a b d + a c d + b c d - 1\right)} x\right)} \sqrt{-{\left(a - x\right)} {\left(b - x\right)} {\left(c - x\right)} x}}\,{d x}"," ",0,"-integrate((a*b*c - (a + b + c)*x^2 + 2*x^3)/((a*b*c*d + (a + b + c)*d*x^2 - d*x^3 - (a*b*d + a*c*d + b*c*d - 1)*x)*sqrt(-(a - x)*(b - x)*(c - x)*x)), x)","F",0
737,1,99,0,0.428843," ","integrate(x^6*(x^4-1)^(1/4),x, algorithm=""maxima"")","-\frac{\frac{3 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x} + \frac{{\left(x^{4} - 1\right)}^{\frac{5}{4}}}{x^{5}}}{32 \, {\left(\frac{2 \, {\left(x^{4} - 1\right)}}{x^{4}} - \frac{{\left(x^{4} - 1\right)}^{2}}{x^{8}} - 1\right)}} - \frac{3}{64} \, \arctan\left(\frac{{\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x}\right) - \frac{3}{128} \, \log\left(\frac{{\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x} + 1\right) + \frac{3}{128} \, \log\left(\frac{{\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x} - 1\right)"," ",0,"-1/32*(3*(x^4 - 1)^(1/4)/x + (x^4 - 1)^(5/4)/x^5)/(2*(x^4 - 1)/x^4 - (x^4 - 1)^2/x^8 - 1) - 3/64*arctan((x^4 - 1)^(1/4)/x) - 3/128*log((x^4 - 1)^(1/4)/x + 1) + 3/128*log((x^4 - 1)^(1/4)/x - 1)","B",0
738,0,0,0,0.000000," ","integrate((-1+2*x)*(x^4+x^3)^(1/4)/x,x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(2 \, x - 1\right)}}{x}\,{d x}"," ",0,"integrate((x^4 + x^3)^(1/4)*(2*x - 1)/x, x)","F",0
739,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{4} - x^{3} + 1\right)} \sqrt{x^{4} - 2 \, x^{3} + x^{2} - 1}}{{\left(2 \, x^{4} - 4 \, x^{3} - x^{2} - 2\right)} {\left(x^{4} - 2 \, x^{3} - 1\right)}}\,{d x}"," ",0,"integrate((x^4 - x^3 + 1)*sqrt(x^4 - 2*x^3 + x^2 - 1)/((2*x^4 - 4*x^3 - x^2 - 2)*(x^4 - 2*x^3 - 1)), x)","F",0
740,1,68,0,0.423915," ","integrate(x^2/(a*x^4+b)^(3/4),x, algorithm=""maxima"")","\frac{\arctan\left(\frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}} x}\right)}{2 \, a^{\frac{3}{4}}} - \frac{\log\left(-\frac{a^{\frac{1}{4}} - \frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}}{a^{\frac{1}{4}} + \frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}}\right)}{4 \, a^{\frac{3}{4}}}"," ",0,"1/2*arctan((a*x^4 + b)^(1/4)/(a^(1/4)*x))/a^(3/4) - 1/4*log(-(a^(1/4) - (a*x^4 + b)^(1/4)/x)/(a^(1/4) + (a*x^4 + b)^(1/4)/x))/a^(3/4)","A",0
741,0,0,0,0.000000," ","integrate(1/(a*x^4+b)^(1/4)/(a*x^8-b),x, algorithm=""maxima"")","\int \frac{1}{{\left(a x^{8} - b\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((a*x^8 - b)*(a*x^4 + b)^(1/4)), x)","F",0
742,0,0,0,0.000000," ","integrate((a*x^8-b)/(a*x^8+b)^(1/4)/(a*x^8-c*x^4+b),x, algorithm=""maxima"")","\int \frac{a x^{8} - b}{{\left(a x^{8} - c x^{4} + b\right)} {\left(a x^{8} + b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((a*x^8 - b)/((a*x^8 - c*x^4 + b)*(a*x^8 + b)^(1/4)), x)","F",0
743,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{10} + x^{6} + 2 \, x^{5} + 1\right)} {\left(2 \, x^{5} - 3\right)}}{{\left(x^{6} + x\right)}^{\frac{1}{4}} {\left(x^{5} - x^{3} + 1\right)} x^{6}}\,{d x}"," ",0,"integrate((x^10 + x^6 + 2*x^5 + 1)*(2*x^5 - 3)/((x^6 + x)^(1/4)*(x^5 - x^3 + 1)*x^6), x)","F",0
744,0,0,0,0.000000," ","integrate((x^2+(x^4+1)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{x^{2} + \sqrt{x^{4} + 1}}\,{d x}"," ",0,"integrate(sqrt(x^2 + sqrt(x^4 + 1)), x)","F",0
745,0,0,0,0.000000," ","integrate((x^2-x-1)/(x^2+1)/(x^3-x)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} - x - 1}{\sqrt{x^{3} - x} {\left(x^{2} + 1\right)}}\,{d x}"," ",0,"integrate((x^2 - x - 1)/(sqrt(x^3 - x)*(x^2 + 1)), x)","F",0
746,0,0,0,0.000000," ","integrate((x^2+x-1)/(x^2+1)/(x^3-x)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} + x - 1}{\sqrt{x^{3} - x} {\left(x^{2} + 1\right)}}\,{d x}"," ",0,"integrate((x^2 + x - 1)/(sqrt(x^3 - x)*(x^2 + 1)), x)","F",0
747,0,0,0,0.000000," ","integrate((7*x^2+x-7)/(x^2+1)/(x^3-x)^(1/2),x, algorithm=""maxima"")","\int \frac{7 \, x^{2} + x - 7}{\sqrt{x^{3} - x} {\left(x^{2} + 1\right)}}\,{d x}"," ",0,"integrate((7*x^2 + x - 7)/(sqrt(x^3 - x)*(x^2 + 1)), x)","F",0
748,0,0,0,0.000000," ","integrate(1/(-2+x)/(x^3-x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{3} - x^{2}\right)}^{\frac{1}{4}} {\left(x - 2\right)}}\,{d x}"," ",0,"integrate(1/((x^3 - x^2)^(1/4)*(x - 2)), x)","F",0
749,0,0,0,0.000000," ","integrate((a*x^3+b)*(x^4-x)^(1/2),x, algorithm=""maxima"")","\int {\left(a x^{3} + b\right)} \sqrt{x^{4} - x}\,{d x}"," ",0,"integrate((a*x^3 + b)*sqrt(x^4 - x), x)","F",0
750,0,0,0,0.000000," ","integrate((2*x^2-x-2)/(x^2+1)/(x^4+x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{2 \, x^{2} - x - 2}{\sqrt{x^{4} + x^{2} + 1} {\left(x^{2} + 1\right)}}\,{d x}"," ",0,"integrate((2*x^2 - x - 2)/(sqrt(x^4 + x^2 + 1)*(x^2 + 1)), x)","F",0
751,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(9 \, a x^{4} - 5 \, b\right)} x^{3}}{{\left(a x^{9} - b x^{5} - 2\right)} {\left(a x^{5} - b x\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((9*a*x^4 - 5*b)*x^3/((a*x^9 - b*x^5 - 2)*(a*x^5 - b*x)^(1/4)), x)","F",0
752,0,0,0,0.000000," ","integrate((x^2+1)/(x^2-1)/(x^3+x^2+x)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} + 1}{\sqrt{x^{3} + x^{2} + x} {\left(x^{2} - 1\right)}}\,{d x}"," ",0,"integrate((x^2 + 1)/(sqrt(x^3 + x^2 + x)*(x^2 - 1)), x)","F",0
753,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{a b c - {\left(a + b + c\right)} x^{2} + 2 \, x^{3}}{\sqrt{-{\left(a - x\right)} {\left(b - x\right)} {\left(c - x\right)} x} {\left(a b c + {\left(a + b + c\right)} x^{2} - x^{3} - {\left(a b + a c + b c - d\right)} x\right)}}\,{d x}"," ",0,"-integrate((a*b*c - (a + b + c)*x^2 + 2*x^3)/(sqrt(-(a - x)*(b - x)*(c - x)*x)*(a*b*c + (a + b + c)*x^2 - x^3 - (a*b + a*c + b*c - d)*x)), x)","F",0
754,1,158,0,0.421145," ","integrate((a*x^3-b)*(a*x^3+b)^(1/2)/x^7,x, algorithm=""maxima"")","\frac{1}{6} \, {\left(\frac{a \log\left(\frac{\sqrt{a x^{3} + b} - \sqrt{b}}{\sqrt{a x^{3} + b} + \sqrt{b}}\right)}{\sqrt{b}} - \frac{2 \, \sqrt{a x^{3} + b}}{x^{3}}\right)} a + \frac{1}{24} \, {\left(\frac{a^{2} \log\left(\frac{\sqrt{a x^{3} + b} - \sqrt{b}}{\sqrt{a x^{3} + b} + \sqrt{b}}\right)}{b^{\frac{3}{2}}} + \frac{2 \, {\left({\left(a x^{3} + b\right)}^{\frac{3}{2}} a^{2} + \sqrt{a x^{3} + b} a^{2} b\right)}}{{\left(a x^{3} + b\right)}^{2} b - 2 \, {\left(a x^{3} + b\right)} b^{2} + b^{3}}\right)} b"," ",0,"1/6*(a*log((sqrt(a*x^3 + b) - sqrt(b))/(sqrt(a*x^3 + b) + sqrt(b)))/sqrt(b) - 2*sqrt(a*x^3 + b)/x^3)*a + 1/24*(a^2*log((sqrt(a*x^3 + b) - sqrt(b))/(sqrt(a*x^3 + b) + sqrt(b)))/b^(3/2) + 2*((a*x^3 + b)^(3/2)*a^2 + sqrt(a*x^3 + b)*a^2*b)/((a*x^3 + b)^2*b - 2*(a*x^3 + b)*b^2 + b^3))*b","B",0
755,1,158,0,0.434270," ","integrate((a*x^3+b)^(1/2)*(a*x^3+2*b)/x^7,x, algorithm=""maxima"")","\frac{1}{6} \, {\left(\frac{a \log\left(\frac{\sqrt{a x^{3} + b} - \sqrt{b}}{\sqrt{a x^{3} + b} + \sqrt{b}}\right)}{\sqrt{b}} - \frac{2 \, \sqrt{a x^{3} + b}}{x^{3}}\right)} a - \frac{1}{12} \, {\left(\frac{a^{2} \log\left(\frac{\sqrt{a x^{3} + b} - \sqrt{b}}{\sqrt{a x^{3} + b} + \sqrt{b}}\right)}{b^{\frac{3}{2}}} + \frac{2 \, {\left({\left(a x^{3} + b\right)}^{\frac{3}{2}} a^{2} + \sqrt{a x^{3} + b} a^{2} b\right)}}{{\left(a x^{3} + b\right)}^{2} b - 2 \, {\left(a x^{3} + b\right)} b^{2} + b^{3}}\right)} b"," ",0,"1/6*(a*log((sqrt(a*x^3 + b) - sqrt(b))/(sqrt(a*x^3 + b) + sqrt(b)))/sqrt(b) - 2*sqrt(a*x^3 + b)/x^3)*a - 1/12*(a^2*log((sqrt(a*x^3 + b) - sqrt(b))/(sqrt(a*x^3 + b) + sqrt(b)))/b^(3/2) + 2*((a*x^3 + b)^(3/2)*a^2 + sqrt(a*x^3 + b)*a^2*b)/((a*x^3 + b)^2*b - 2*(a*x^3 + b)*b^2 + b^3))*b","B",0
756,0,0,0,0.000000," ","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=""maxima"")","\int \frac{3 \, a b c x + {\left(a + b + c\right)} x^{3} - 2 \, {\left(a b + a c + b c\right)} x^{2}}{\sqrt{-{\left(a - x\right)} {\left(b - x\right)} {\left(c - x\right)} x} {\left({\left(d - 1\right)} x^{3} + a b c + {\left(a + b + c\right)} x^{2} - {\left(a b + a c + b c\right)} x\right)}}\,{d x}"," ",0,"integrate((3*a*b*c*x + (a + b + c)*x^3 - 2*(a*b + a*c + b*c)*x^2)/(sqrt(-(a - x)*(b - x)*(c - x)*x)*((d - 1)*x^3 + a*b*c + (a + b + c)*x^2 - (a*b + a*c + b*c)*x)), x)","F",0
757,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(3 \, a b c + {\left(a + b + c\right)} x^{2} - 2 \, {\left(a b + a c + b c\right)} x\right)} x}{{\left(a b c d + {\left(a + b + c\right)} d x^{2} - {\left(d - 1\right)} x^{3} - {\left(a b + a c + b c\right)} d x\right)} \sqrt{-{\left(a - x\right)} {\left(b - x\right)} {\left(c - x\right)} x}}\,{d x}"," ",0,"-integrate((3*a*b*c + (a + b + c)*x^2 - 2*(a*b + a*c + b*c)*x)*x/((a*b*c*d + (a + b + c)*d*x^2 - (d - 1)*x^3 - (a*b + a*c + b*c)*d*x)*sqrt(-(a - x)*(b - x)*(c - x)*x)), x)","F",0
758,0,0,0,0.000000," ","integrate((x^4-x^2)^(1/4),x, algorithm=""maxima"")","\int {\left(x^{4} - x^{2}\right)}^{\frac{1}{4}}\,{d x}"," ",0,"integrate((x^4 - x^2)^(1/4), x)","F",0
759,0,0,0,0.000000," ","integrate(x^2*(x^4+x^2)^(1/4),x, algorithm=""maxima"")","\int {\left(x^{4} + x^{2}\right)}^{\frac{1}{4}} x^{2}\,{d x}"," ",0,"integrate((x^4 + x^2)^(1/4)*x^2, x)","F",0
760,0,0,0,0.000000," ","integrate((2*x^4-1)*(2*x^4+3*x^2+1)^(1/2)/(2*x^4+2*x^2+1)^2,x, algorithm=""maxima"")","\int \frac{\sqrt{2 \, x^{4} + 3 \, x^{2} + 1} {\left(2 \, x^{4} - 1\right)}}{{\left(2 \, x^{4} + 2 \, x^{2} + 1\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(2*x^4 + 3*x^2 + 1)*(2*x^4 - 1)/(2*x^4 + 2*x^2 + 1)^2, x)","F",0
761,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(2 \, x^{4} - x^{3} + 2\right)} \sqrt{2 \, x^{4} - 2 \, x^{3} + x^{2} - 2}}{{\left(2 \, x^{4} - 2 \, x^{3} - x^{2} - 2\right)} {\left(x^{4} - x^{3} - 1\right)}}\,{d x}"," ",0,"integrate((2*x^4 - x^3 + 2)*sqrt(2*x^4 - 2*x^3 + x^2 - 2)/((2*x^4 - 2*x^3 - x^2 - 2)*(x^4 - x^3 - 1)), x)","F",0
762,0,0,0,0.000000," ","integrate((a*x^2-b)/(a*x^2+b)/(a^2*x^4+b^2)^(1/2),x, algorithm=""maxima"")","\int \frac{a x^{2} - b}{\sqrt{a^{2} x^{4} + b^{2}} {\left(a x^{2} + b\right)}}\,{d x}"," ",0,"integrate((a*x^2 - b)/(sqrt(a^2*x^4 + b^2)*(a*x^2 + b)), x)","F",0
763,0,0,0,0.000000," ","integrate((a*x^4+3*b)/(a*x^4-x^3-b)/(a*x^5-b*x)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{4} + 3 \, b}{{\left(a x^{5} - b x\right)}^{\frac{1}{4}} {\left(a x^{4} - x^{3} - b\right)}}\,{d x}"," ",0,"integrate((a*x^4 + 3*b)/((a*x^5 - b*x)^(1/4)*(a*x^4 - x^3 - b)), x)","F",0
764,1,77,0,0.429025," ","integrate((x^3-1)*(x^6-1)^(1/2)/x,x, algorithm=""maxima"")","-\frac{1}{3} \, \sqrt{x^{6} - 1} - \frac{\sqrt{x^{6} - 1}}{6 \, x^{3} {\left(\frac{x^{6} - 1}{x^{6}} - 1\right)}} + \frac{1}{3} \, \arctan\left(\sqrt{x^{6} - 1}\right) - \frac{1}{12} \, \log\left(\frac{\sqrt{x^{6} - 1}}{x^{3}} + 1\right) + \frac{1}{12} \, \log\left(\frac{\sqrt{x^{6} - 1}}{x^{3}} - 1\right)"," ",0,"-1/3*sqrt(x^6 - 1) - 1/6*sqrt(x^6 - 1)/(x^3*((x^6 - 1)/x^6 - 1)) + 1/3*arctan(sqrt(x^6 - 1)) - 1/12*log(sqrt(x^6 - 1)/x^3 + 1) + 1/12*log(sqrt(x^6 - 1)/x^3 - 1)","A",0
765,0,0,0,0.000000," ","integrate(x*(3+4*x)*(x^3-2*x-1)^(1/3)/(x^6-8*x^2-8*x-2),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} - 2 \, x - 1\right)}^{\frac{1}{3}} {\left(4 \, x + 3\right)} x}{x^{6} - 8 \, x^{2} - 8 \, x - 2}\,{d x}"," ",0,"integrate((x^3 - 2*x - 1)^(1/3)*(4*x + 3)*x/(x^6 - 8*x^2 - 8*x - 2), x)","F",0
766,0,0,0,0.000000," ","integrate(x*(3+4*x)*(x^3-2*x-1)^(1/3)/(x^6-8*x^2-8*x-2),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} - 2 \, x - 1\right)}^{\frac{1}{3}} {\left(4 \, x + 3\right)} x}{x^{6} - 8 \, x^{2} - 8 \, x - 2}\,{d x}"," ",0,"integrate((x^3 - 2*x - 1)^(1/3)*(4*x + 3)*x/(x^6 - 8*x^2 - 8*x - 2), x)","F",0
767,0,0,0,0.000000," ","integrate((3+2*x)*(x^3+x+1)^(2/3)/(x^6+x^4+x^3+x^2+2*x+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} + x + 1\right)}^{\frac{2}{3}} {\left(2 \, x + 3\right)}}{x^{6} + x^{4} + x^{3} + x^{2} + 2 \, x + 1}\,{d x}"," ",0,"integrate((x^3 + x + 1)^(2/3)*(2*x + 3)/(x^6 + x^4 + x^3 + x^2 + 2*x + 1), x)","F",0
768,0,0,0,0.000000," ","integrate((3+2*x)*(x^3+x+1)^(2/3)/(x^6+x^4+x^3+x^2+2*x+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} + x + 1\right)}^{\frac{2}{3}} {\left(2 \, x + 3\right)}}{x^{6} + x^{4} + x^{3} + x^{2} + 2 \, x + 1}\,{d x}"," ",0,"integrate((x^3 + x + 1)^(2/3)*(2*x + 3)/(x^6 + x^4 + x^3 + x^2 + 2*x + 1), x)","F",0
769,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(-x^{4} + x^{3} + x\right)}^{\frac{1}{3}} {\left(x^{3} + 2\right)}}{x^{6} - x^{5} + x^{4} - 2 \, x^{3} + x^{2} + 1}\,{d x}"," ",0,"integrate((-x^4 + x^3 + x)^(1/3)*(x^3 + 2)/(x^6 - x^5 + x^4 - 2*x^3 + x^2 + 1), x)","F",0
770,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(-x^{4} + x^{3} + x\right)}^{\frac{1}{3}} {\left(x^{3} + 2\right)}}{x^{6} - x^{5} + x^{4} - 2 \, x^{3} + x^{2} + 1}\,{d x}"," ",0,"integrate((-x^4 + x^3 + x)^(1/3)*(x^3 + 2)/(x^6 - x^5 + x^4 - 2*x^3 + x^2 + 1), x)","F",0
771,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{3} + x^{2} + 1\right)}^{\frac{2}{3}} {\left(x^{2} + 3\right)}}{x^{6} + x^{5} - x^{4} + x^{3} - 2 \, x^{2} - 1}\,{d x}"," ",0,"integrate((x^3 + x^2 + 1)^(2/3)*(x^2 + 3)/(x^6 + x^5 - x^4 + x^3 - 2*x^2 - 1), x)","F",0
772,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{3} + x^{2} + 1\right)}^{\frac{2}{3}} {\left(x^{2} + 3\right)}}{x^{6} + x^{5} - x^{4} + x^{3} - 2 \, x^{2} - 1}\,{d x}"," ",0,"integrate((x^3 + x^2 + 1)^(2/3)*(x^2 + 3)/(x^6 + x^5 - x^4 + x^3 - 2*x^2 - 1), x)","F",0
773,0,0,0,0.000000," ","integrate((a*x^8+b)/(-a*x^8+b)^(1/4)/(a*x^8+c*x^4-b),x, algorithm=""maxima"")","\int \frac{a x^{8} + b}{{\left(a x^{8} + c x^{4} - b\right)} {\left(-a x^{8} + b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((a*x^8 + b)/((a*x^8 + c*x^4 - b)*(-a*x^8 + b)^(1/4)), x)","F",0
774,0,0,0,0.000000," ","integrate(x*(x^8-x^3+2)^(1/3)*(5*x^8-6)/(x^16+4*x^8+x^6+4),x, algorithm=""maxima"")","\int \frac{{\left(5 \, x^{8} - 6\right)} {\left(x^{8} - x^{3} + 2\right)}^{\frac{1}{3}} x}{x^{16} + 4 \, x^{8} + x^{6} + 4}\,{d x}"," ",0,"integrate((5*x^8 - 6)*(x^8 - x^3 + 2)^(1/3)*x/(x^16 + 4*x^8 + x^6 + 4), x)","F",0
775,-2,0,0,0.000000," ","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=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume((d+c+b)^2>0)', see `assume?` for more details)Is (d+c+b)^2    -4*(a*d+b*c)    positive, negative or zero?","F(-2)",0
776,-2,0,0,0.000000," ","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=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume((c*d+b*d+1)^2>0)', see `assume?` for more details)Is (c*d+b*d+1)^2    -4*d*(b*c*d+a)    positive, negative or zero?","F(-2)",0
777,0,0,0,0.000000," ","integrate((k^2*x^2-1)/((1-x)*x*(-k^2*x+1))^(1/2)/(k^2*x^2+1),x, algorithm=""maxima"")","\int \frac{k^{2} x^{2} - 1}{{\left(k^{2} x^{2} + 1\right)} \sqrt{{\left(k^{2} x - 1\right)} {\left(x - 1\right)} x}}\,{d x}"," ",0,"integrate((k^2*x^2 - 1)/((k^2*x^2 + 1)*sqrt((k^2*x - 1)*(x - 1)*x)), x)","F",0
778,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(a - 2 \, b - 2 \, c\right)} x^{2} + x^{3} + {\left(a b + a c - 3 \, b c\right)} a - {\left(2 \, a^{2} - a b - a c - 3 \, b c\right)} x}{{\left(a^{3} + b c d + {\left(3 \, a + d\right)} x^{2} - x^{3} - {\left(3 \, a^{2} + b d + c d\right)} x\right)} \sqrt{-{\left(a - x\right)} {\left(b - x\right)} {\left(c - x\right)}}}\,{d x}"," ",0,"-integrate(((a - 2*b - 2*c)*x^2 + x^3 + (a*b + a*c - 3*b*c)*a - (2*a^2 - a*b - a*c - 3*b*c)*x)/((a^3 + b*c*d + (3*a + d)*x^2 - x^3 - (3*a^2 + b*d + c*d)*x)*sqrt(-(a - x)*(b - x)*(c - x))), x)","F",0
779,0,0,0,0.000000," ","integrate((a*x^3-2*c)*(a*x^3+b*x^2+c)^(1/2)/(a*x^3+c)^2,x, algorithm=""maxima"")","\int \frac{\sqrt{a x^{3} + b x^{2} + c} {\left(a x^{3} - 2 \, c\right)}}{{\left(a x^{3} + c\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(a*x^3 + b*x^2 + c)*(a*x^3 - 2*c)/(a*x^3 + c)^2, x)","F",0
780,-2,0,0,0.000000," ","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=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b-1>0)', see `assume?` for more details)Is b-1 positive, negative or zero?","F(-2)",0
781,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(a - 2 \, b - 2 \, c\right)} x^{2} + x^{3} + {\left(a b + a c - 3 \, b c\right)} a - {\left(2 \, a^{2} - a b - a c - 3 \, b c\right)} x}{{\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{-{\left(a - x\right)} {\left(b - x\right)} {\left(c - x\right)}}}\,{d x}"," ",0,"-integrate(((a - 2*b - 2*c)*x^2 + x^3 + (a*b + a*c - 3*b*c)*a - (2*a^2 - a*b - a*c - 3*b*c)*x)/((a^3*d - d*x^3 + (3*a*d + 1)*x^2 + b*c - (3*a^2*d + b + c)*x)*sqrt(-(a - x)*(b - x)*(c - x))), x)","F",0
782,1,81,0,0.422771," ","integrate((x^2-1)*(x^4+1)^(1/2)/x^5,x, algorithm=""maxima"")","-\frac{\sqrt{x^{4} + 1}}{2 \, x^{2}} + \frac{\sqrt{x^{4} + 1}}{4 \, x^{4}} + \frac{1}{8} \, \log\left(\sqrt{x^{4} + 1} + 1\right) - \frac{1}{8} \, \log\left(\sqrt{x^{4} + 1} - 1\right) + \frac{1}{4} \, \log\left(\frac{\sqrt{x^{4} + 1}}{x^{2}} + 1\right) - \frac{1}{4} \, \log\left(\frac{\sqrt{x^{4} + 1}}{x^{2}} - 1\right)"," ",0,"-1/2*sqrt(x^4 + 1)/x^2 + 1/4*sqrt(x^4 + 1)/x^4 + 1/8*log(sqrt(x^4 + 1) + 1) - 1/8*log(sqrt(x^4 + 1) - 1) + 1/4*log(sqrt(x^4 + 1)/x^2 + 1) - 1/4*log(sqrt(x^4 + 1)/x^2 - 1)","A",0
783,1,78,0,0.416891," ","integrate((x^2-1)*(x^4+1)^(1/2)/x^3,x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{x^{4} + 1} + \frac{\sqrt{x^{4} + 1}}{2 \, x^{2}} - \frac{1}{4} \, \log\left(\sqrt{x^{4} + 1} + 1\right) + \frac{1}{4} \, \log\left(\sqrt{x^{4} + 1} - 1\right) - \frac{1}{4} \, \log\left(\frac{\sqrt{x^{4} + 1}}{x^{2}} + 1\right) + \frac{1}{4} \, \log\left(\frac{\sqrt{x^{4} + 1}}{x^{2}} - 1\right)"," ",0,"1/2*sqrt(x^4 + 1) + 1/2*sqrt(x^4 + 1)/x^2 - 1/4*log(sqrt(x^4 + 1) + 1) + 1/4*log(sqrt(x^4 + 1) - 1) - 1/4*log(sqrt(x^4 + 1)/x^2 + 1) + 1/4*log(sqrt(x^4 + 1)/x^2 - 1)","A",0
784,1,67,0,0.422095," ","integrate((2*x^3+1)*(x^6-1)^(1/2)/x^7,x, algorithm=""maxima"")","-\frac{2 \, \sqrt{x^{6} - 1}}{3 \, x^{3}} - \frac{\sqrt{x^{6} - 1}}{6 \, x^{6}} + \frac{1}{6} \, \arctan\left(\sqrt{x^{6} - 1}\right) + \frac{1}{3} \, \log\left(\frac{\sqrt{x^{6} - 1}}{x^{3}} + 1\right) - \frac{1}{3} \, \log\left(\frac{\sqrt{x^{6} - 1}}{x^{3}} - 1\right)"," ",0,"-2/3*sqrt(x^6 - 1)/x^3 - 1/6*sqrt(x^6 - 1)/x^6 + 1/6*arctan(sqrt(x^6 - 1)) + 1/3*log(sqrt(x^6 - 1)/x^3 + 1) - 1/3*log(sqrt(x^6 - 1)/x^3 - 1)","A",0
785,1,64,0,0.419377," ","integrate((2*x^3+1)*(x^6-1)^(1/2)/x^4,x, algorithm=""maxima"")","\frac{2}{3} \, \sqrt{x^{6} - 1} - \frac{\sqrt{x^{6} - 1}}{3 \, x^{3}} - \frac{2}{3} \, \arctan\left(\sqrt{x^{6} - 1}\right) + \frac{1}{6} \, \log\left(\frac{\sqrt{x^{6} - 1}}{x^{3}} + 1\right) - \frac{1}{6} \, \log\left(\frac{\sqrt{x^{6} - 1}}{x^{3}} - 1\right)"," ",0,"2/3*sqrt(x^6 - 1) - 1/3*sqrt(x^6 - 1)/x^3 - 2/3*arctan(sqrt(x^6 - 1)) + 1/6*log(sqrt(x^6 - 1)/x^3 + 1) - 1/6*log(sqrt(x^6 - 1)/x^3 - 1)","A",0
786,0,0,0,0.000000," ","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=""maxima"")","\int \frac{a^{6} x^{6} + b^{6}}{{\left(a^{6} x^{6} - b^{6} + c x^{3}\right)} \sqrt{a^{2} x^{3} - b^{2} x}}\,{d x}"," ",0,"integrate((a^6*x^6 + b^6)/((a^6*x^6 - b^6 + c*x^3)*sqrt(a^2*x^3 - b^2*x)), x)","F",0
787,0,0,0,0.000000," ","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=""maxima"")","\int \frac{a^{6} x^{6} + b^{6}}{{\left(a^{6} x^{6} - b^{6} + c x^{3}\right)} \sqrt{a^{2} x^{3} - b^{2} x}}\,{d x}"," ",0,"integrate((a^6*x^6 + b^6)/((a^6*x^6 - b^6 + c*x^3)*sqrt(a^2*x^3 - b^2*x)), x)","F",0
788,0,0,0,0.000000," ","integrate((-3*x^5+x)/(x^5+x)^(1/2)/(x^8+2*x^4-a*x^2+1),x, algorithm=""maxima"")","-\int \frac{3 \, x^{5} - x}{{\left(x^{8} + 2 \, x^{4} - a x^{2} + 1\right)} \sqrt{x^{5} + x}}\,{d x}"," ",0,"-integrate((3*x^5 - x)/((x^8 + 2*x^4 - a*x^2 + 1)*sqrt(x^5 + x)), x)","F",0
789,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(2 \, x^{8} + 1\right)} {\left(2 \, x^{8} - 1\right)} \sqrt{-2 \, x^{8} + 1}}{{\left(2 \, x^{8} + x^{4} - 1\right)} x^{7}}\,{d x}"," ",0,"integrate((2*x^8 + 1)*(2*x^8 - 1)*sqrt(-2*x^8 + 1)/((2*x^8 + x^4 - 1)*x^7), x)","F",0
790,0,0,0,0.000000," ","integrate((3*x^5-x)/(x^5+x)^(1/2)/(a*x^8+2*a*x^4-x^2+a),x, algorithm=""maxima"")","\int \frac{3 \, x^{5} - x}{{\left(a x^{8} + 2 \, a x^{4} - x^{2} + a\right)} \sqrt{x^{5} + x}}\,{d x}"," ",0,"integrate((3*x^5 - x)/((a*x^8 + 2*a*x^4 - x^2 + a)*sqrt(x^5 + x)), x)","F",0
791,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(9 \, a x^{2} + 7 \, b\right)} x^{5}}{{\left(a x^{9} + b x^{7} - 2\right)} {\left(a x^{5} + b x^{3}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((9*a*x^2 + 7*b)*x^5/((a*x^9 + b*x^7 - 2)*(a*x^5 + b*x^3)^(1/4)), x)","F",0
792,1,27,0,0.405054," ","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=""maxima"")","\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
793,0,0,0,0.000000," ","integrate((x^2-2*x+1)^(1/3)/(x^2+2),x, algorithm=""maxima"")","\int \frac{{\left(x^{2} - 2 \, x + 1\right)}^{\frac{1}{3}}}{x^{2} + 2}\,{d x}"," ",0,"integrate((x^2 - 2*x + 1)^(1/3)/(x^2 + 2), x)","F",0
794,0,0,0,0.000000," ","integrate((x^2+2*x+1)^(1/3)/(x^2+3),x, algorithm=""maxima"")","\int \frac{{\left(x^{2} + 2 \, x + 1\right)}^{\frac{1}{3}}}{x^{2} + 3}\,{d x}"," ",0,"integrate((x^2 + 2*x + 1)^(1/3)/(x^2 + 3), x)","F",0
795,0,0,0,0.000000," ","integrate(1/(-1+x)/(x^3+x)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{3} + x\right)}^{\frac{1}{4}} {\left(x - 1\right)}}\,{d x}"," ",0,"integrate(1/((x^3 + x)^(1/4)*(x - 1)), x)","F",0
796,0,0,0,0.000000," ","integrate((x^4-1)/(x^3+x)^(1/2)/(x^4+1),x, algorithm=""maxima"")","\int \frac{x^{4} - 1}{{\left(x^{4} + 1\right)} \sqrt{x^{3} + x}}\,{d x}"," ",0,"integrate((x^4 - 1)/((x^4 + 1)*sqrt(x^3 + x)), x)","F",0
797,0,0,0,0.000000," ","integrate((x^3+1)/(x^3-1)/(x^4+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{3} + 1}{\sqrt{x^{4} + 1} {\left(x^{3} - 1\right)}}\,{d x}"," ",0,"integrate((x^3 + 1)/(sqrt(x^4 + 1)*(x^3 - 1)), x)","F",0
798,1,81,0,0.417641," ","integrate((-1+x)/x/(x^4+1)^(1/4),x, algorithm=""maxima"")","-\frac{1}{2} \, \arctan\left({\left(x^{4} + 1\right)}^{\frac{1}{4}}\right) - \frac{1}{2} \, \arctan\left(\frac{{\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\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) + \frac{1}{4} \, \log\left(\frac{{\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x} + 1\right) - \frac{1}{4} \, \log\left(\frac{{\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x} - 1\right)"," ",0,"-1/2*arctan((x^4 + 1)^(1/4)) - 1/2*arctan((x^4 + 1)^(1/4)/x) + 1/4*log((x^4 + 1)^(1/4) + 1) - 1/4*log((x^4 + 1)^(1/4) - 1) + 1/4*log((x^4 + 1)^(1/4)/x + 1) - 1/4*log((x^4 + 1)^(1/4)/x - 1)","A",0
799,1,74,0,0.404097," ","integrate(x^2/(a*x^4-b)^(3/4),x, algorithm=""maxima"")","\frac{\arctan\left(\frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}} x}\right)}{2 \, a^{\frac{3}{4}}} - \frac{\log\left(-\frac{a^{\frac{1}{4}} - \frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}}{a^{\frac{1}{4}} + \frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}}\right)}{4 \, a^{\frac{3}{4}}}"," ",0,"1/2*arctan((a*x^4 - b)^(1/4)/(a^(1/4)*x))/a^(3/4) - 1/4*log(-(a^(1/4) - (a*x^4 - b)^(1/4)/x)/(a^(1/4) + (a*x^4 - b)^(1/4)/x))/a^(3/4)","A",0
800,0,0,0,0.000000," ","integrate((x^4+6)*(x^5+x^4-2*x)^(1/2)/(x^4-2)/(x^4-x^3-2),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{5} + x^{4} - 2 \, x} {\left(x^{4} + 6\right)}}{{\left(x^{4} - x^{3} - 2\right)} {\left(x^{4} - 2\right)}}\,{d x}"," ",0,"integrate(sqrt(x^5 + x^4 - 2*x)*(x^4 + 6)/((x^4 - x^3 - 2)*(x^4 - 2)), x)","F",0
801,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{3} - x^{2} + 1\right)}^{\frac{2}{3}} {\left(x^{2} - 3\right)}}{x^{6} + x^{5} + x^{4} - x^{3} - 2 \, x^{2} + 1}\,{d x}"," ",0,"integrate((x^3 - x^2 + 1)^(2/3)*(x^2 - 3)/(x^6 + x^5 + x^4 - x^3 - 2*x^2 + 1), x)","F",0
802,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{3} - x^{2} + 1\right)}^{\frac{2}{3}} {\left(x^{2} - 3\right)}}{x^{6} + x^{5} + x^{4} - x^{3} - 2 \, x^{2} + 1}\,{d x}"," ",0,"integrate((x^3 - x^2 + 1)^(2/3)*(x^2 - 3)/(x^6 + x^5 + x^4 - x^3 - 2*x^2 + 1), x)","F",0
803,0,0,0,0.000000," ","integrate((x^6-1)^(1/2)*(2*x^6-1)^2/x/(4*x^6-1),x, algorithm=""maxima"")","\int \frac{{\left(2 \, x^{6} - 1\right)}^{2} \sqrt{x^{6} - 1}}{{\left(4 \, x^{6} - 1\right)} x}\,{d x}"," ",0,"integrate((2*x^6 - 1)^2*sqrt(x^6 - 1)/((4*x^6 - 1)*x), x)","F",0
804,0,0,0,0.000000," ","integrate(1/(x^3+x)^(1/3)/(a*x^6+b),x, algorithm=""maxima"")","-\frac{3 \, {\left(9 \, x^{7} + 3 \, x^{5} - x^{3} + 5 \, x\right)}}{80 \, {\left(a x^{\frac{19}{3}} + b x^{\frac{1}{3}}\right)} {\left(x^{2} + 1\right)}^{\frac{1}{3}}} + \int \frac{9 \, {\left(9 \, b x^{6} + 3 \, b x^{4} - b x^{2} + 5 \, b\right)}}{40 \, {\left(a^{2} x^{\frac{37}{3}} + 2 \, a b x^{\frac{19}{3}} + b^{2} x^{\frac{1}{3}}\right)} {\left(x^{2} + 1\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"-3/80*(9*x^7 + 3*x^5 - x^3 + 5*x)/((a*x^(19/3) + b*x^(1/3))*(x^2 + 1)^(1/3)) + integrate(9/40*(9*b*x^6 + 3*b*x^4 - b*x^2 + 5*b)/((a^2*x^(37/3) + 2*a*b*x^(19/3) + b^2*x^(1/3))*(x^2 + 1)^(1/3)), x)","F",0
805,0,0,0,0.000000," ","integrate(1/(x^3+x)^(1/3)/(a*x^6+b),x, algorithm=""maxima"")","-\frac{3 \, {\left(9 \, x^{7} + 3 \, x^{5} - x^{3} + 5 \, x\right)}}{80 \, {\left(a x^{\frac{19}{3}} + b x^{\frac{1}{3}}\right)} {\left(x^{2} + 1\right)}^{\frac{1}{3}}} + \int \frac{9 \, {\left(9 \, b x^{6} + 3 \, b x^{4} - b x^{2} + 5 \, b\right)}}{40 \, {\left(a^{2} x^{\frac{37}{3}} + 2 \, a b x^{\frac{19}{3}} + b^{2} x^{\frac{1}{3}}\right)} {\left(x^{2} + 1\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"-3/80*(9*x^7 + 3*x^5 - x^3 + 5*x)/((a*x^(19/3) + b*x^(1/3))*(x^2 + 1)^(1/3)) + integrate(9/40*(9*b*x^6 + 3*b*x^4 - b*x^2 + 5*b)/((a^2*x^(37/3) + 2*a*b*x^(19/3) + b^2*x^(1/3))*(x^2 + 1)^(1/3)), x)","F",0
806,0,0,0,0.000000," ","integrate((a*x^4-b)/(a*x^4-2*x^2+b)/(a*x^6+b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{4} - b}{{\left(a x^{6} + b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{4} - 2 \, x^{2} + b\right)}}\,{d x}"," ",0,"integrate((a*x^4 - b)/((a*x^6 + b*x^2)^(1/4)*(a*x^4 - 2*x^2 + b)), x)","F",0
807,0,0,0,0.000000," ","integrate((x^5+4)*(x^10+x^8-2*x^5+1)^(1/2)/x^9,x, algorithm=""maxima"")","\int \frac{\sqrt{x^{10} + x^{8} - 2 \, x^{5} + 1} {\left(x^{5} + 4\right)}}{x^{9}}\,{d x}"," ",0,"integrate(sqrt(x^10 + x^8 - 2*x^5 + 1)*(x^5 + 4)/x^9, x)","F",0
808,0,0,0,0.000000," ","integrate((x^6+1)*(x^6+x^3-1)^(2/3)/(x^12-x^6+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} + x^{3} - 1\right)}^{\frac{2}{3}} {\left(x^{6} + 1\right)}}{x^{12} - x^{6} + 1}\,{d x}"," ",0,"integrate((x^6 + x^3 - 1)^(2/3)*(x^6 + 1)/(x^12 - x^6 + 1), x)","F",0
809,0,0,0,0.000000," ","integrate((x^6+1)*(x^6+x^3-1)^(2/3)/(x^12-x^6+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} + x^{3} - 1\right)}^{\frac{2}{3}} {\left(x^{6} + 1\right)}}{x^{12} - x^{6} + 1}\,{d x}"," ",0,"integrate((x^6 + x^3 - 1)^(2/3)*(x^6 + 1)/(x^12 - x^6 + 1), x)","F",0
810,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(2 \, x^{8} + x^{3} + 2 \, x\right)}^{\frac{1}{3}} {\left(5 \, x^{7} - 2\right)}}{4 \, x^{14} + 8 \, x^{7} + x^{4} + 4}\,{d x}"," ",0,"integrate((2*x^8 + x^3 + 2*x)^(1/3)*(5*x^7 - 2)/(4*x^14 + 8*x^7 + x^4 + 4), x)","F",0
811,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(2 \, x^{8} + x^{3} + 2 \, x\right)}^{\frac{1}{3}} {\left(5 \, x^{7} - 2\right)}}{4 \, x^{14} + 8 \, x^{7} + x^{4} + 4}\,{d x}"," ",0,"integrate((2*x^8 + x^3 + 2*x)^(1/3)*(5*x^7 - 2)/(4*x^14 + 8*x^7 + x^4 + 4), x)","F",0
812,0,0,0,0.000000," ","integrate(1/(a*x+(a^2*x^2+b^2)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}}\,{d x}"," ",0,"integrate(1/sqrt(a*x + sqrt(a^2*x^2 + b^2)), x)","F",0
813,1,123,0,0.402624," ","integrate(x^10*(x^4-1)^(1/4),x, algorithm=""maxima"")","-\frac{\frac{21 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x} + \frac{18 \, {\left(x^{4} - 1\right)}^{\frac{5}{4}}}{x^{5}} - \frac{7 \, {\left(x^{4} - 1\right)}^{\frac{9}{4}}}{x^{9}}}{384 \, {\left(\frac{3 \, {\left(x^{4} - 1\right)}}{x^{4}} - \frac{3 \, {\left(x^{4} - 1\right)}^{2}}{x^{8}} + \frac{{\left(x^{4} - 1\right)}^{3}}{x^{12}} - 1\right)}} - \frac{7}{256} \, \arctan\left(\frac{{\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x}\right) - \frac{7}{512} \, \log\left(\frac{{\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x} + 1\right) + \frac{7}{512} \, \log\left(\frac{{\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x} - 1\right)"," ",0,"-1/384*(21*(x^4 - 1)^(1/4)/x + 18*(x^4 - 1)^(5/4)/x^5 - 7*(x^4 - 1)^(9/4)/x^9)/(3*(x^4 - 1)/x^4 - 3*(x^4 - 1)^2/x^8 + (x^4 - 1)^3/x^12 - 1) - 7/256*arctan((x^4 - 1)^(1/4)/x) - 7/512*log((x^4 - 1)^(1/4)/x + 1) + 7/512*log((x^4 - 1)^(1/4)/x - 1)","B",0
814,1,123,0,0.409134," ","integrate(x^10*(x^4+1)^(1/4),x, algorithm=""maxima"")","\frac{\frac{21 \, {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x} + \frac{18 \, {\left(x^{4} + 1\right)}^{\frac{5}{4}}}{x^{5}} - \frac{7 \, {\left(x^{4} + 1\right)}^{\frac{9}{4}}}{x^{9}}}{384 \, {\left(\frac{3 \, {\left(x^{4} + 1\right)}}{x^{4}} - \frac{3 \, {\left(x^{4} + 1\right)}^{2}}{x^{8}} + \frac{{\left(x^{4} + 1\right)}^{3}}{x^{12}} - 1\right)}} + \frac{7}{256} \, \arctan\left(\frac{{\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\right) + \frac{7}{512} \, \log\left(\frac{{\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x} + 1\right) - \frac{7}{512} \, \log\left(\frac{{\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x} - 1\right)"," ",0,"1/384*(21*(x^4 + 1)^(1/4)/x + 18*(x^4 + 1)^(5/4)/x^5 - 7*(x^4 + 1)^(9/4)/x^9)/(3*(x^4 + 1)/x^4 - 3*(x^4 + 1)^2/x^8 + (x^4 + 1)^3/x^12 - 1) + 7/256*arctan((x^4 + 1)^(1/4)/x) + 7/512*log((x^4 + 1)^(1/4)/x + 1) - 7/512*log((x^4 + 1)^(1/4)/x - 1)","B",0
815,0,0,0,0.000000," ","integrate((x^2+1)/(x^4-x^2+1)/(x^4+x^2)^(1/4),x, algorithm=""maxima"")","\frac{2 \, {\left(8 \, x^{5} - 7 \, {\left(x^{3} + x\right)} x^{2} + 9 \, x^{3} + x\right)}}{21 \, {\left(x^{\frac{9}{2}} - x^{\frac{5}{2}} + \sqrt{x}\right)} {\left(x^{2} + 1\right)}^{\frac{1}{4}}} + \int -\frac{4 \, {\left(16 \, x^{4} - 8 \, {\left(x^{4} + 2 \, x^{2} + 1\right)} x^{2} + 11 \, x^{2} - 5\right)}}{21 \, {\left(x^{\frac{17}{2}} - 2 \, x^{\frac{13}{2}} + 3 \, x^{\frac{9}{2}} - 2 \, x^{\frac{5}{2}} + \sqrt{x}\right)} {\left(x^{2} + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"2/21*(8*x^5 - 7*(x^3 + x)*x^2 + 9*x^3 + x)/((x^(9/2) - x^(5/2) + sqrt(x))*(x^2 + 1)^(1/4)) + integrate(-4/21*(16*x^4 - 8*(x^4 + 2*x^2 + 1)*x^2 + 11*x^2 - 5)/((x^(17/2) - 2*x^(13/2) + 3*x^(9/2) - 2*x^(5/2) + sqrt(x))*(x^2 + 1)^(1/4)), x)","F",0
816,0,0,0,0.000000," ","integrate(1/(a*x^4-b)/(a*x^4-b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{4} - b\right)}}\,{d x}"," ",0,"integrate(1/((a*x^4 - b*x^2)^(1/4)*(a*x^4 - b)), x)","F",0
817,0,0,0,0.000000," ","integrate(1/(a*x^4-b)/(a*x^4-b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{4} - b\right)}}\,{d x}"," ",0,"integrate(1/((a*x^4 - b*x^2)^(1/4)*(a*x^4 - b)), x)","F",0
818,0,0,0,0.000000," ","integrate((-x^2+1)/x/(a*x^4+b*x^3+c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","-\int \frac{x^{2} - 1}{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} x}\,{d x}"," ",0,"-integrate((x^2 - 1)/(sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*x), x)","F",0
819,0,0,0,0.000000," ","integrate(x^2*(3*x^4-1)/(x^4+1)^2/(a*x^4+a-x)/(x^5+x)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(3 \, x^{4} - 1\right)} x^{2}}{{\left(a x^{4} + a - x\right)} \sqrt{x^{5} + x} {\left(x^{4} + 1\right)}^{2}}\,{d x}"," ",0,"integrate((3*x^4 - 1)*x^2/((a*x^4 + a - x)*sqrt(x^5 + x)*(x^4 + 1)^2), x)","F",0
820,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{8} - x^{7} - x^{6} + 2 \, x^{4} - x^{3} + 1\right)} {\left(x^{4} - 3\right)}}{{\left(x^{5} + x\right)}^{\frac{1}{4}} {\left(x^{4} - x^{3} + 1\right)} x^{6}}\,{d x}"," ",0,"integrate((x^8 - x^7 - x^6 + 2*x^4 - x^3 + 1)*(x^4 - 3)/((x^5 + x)^(1/4)*(x^4 - x^3 + 1)*x^6), x)","F",0
821,1,67,0,1.052542," ","integrate((x^2+1)/(1+(1+x)^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{4}{11} \, {\left(\sqrt{x + 1} + 1\right)}^{\frac{11}{2}} - \frac{20}{9} \, {\left(\sqrt{x + 1} + 1\right)}^{\frac{9}{2}} + \frac{32}{7} \, {\left(\sqrt{x + 1} + 1\right)}^{\frac{7}{2}} - \frac{16}{5} \, {\left(\sqrt{x + 1} + 1\right)}^{\frac{5}{2}} + \frac{4}{3} \, {\left(\sqrt{x + 1} + 1\right)}^{\frac{3}{2}} - 4 \, \sqrt{\sqrt{x + 1} + 1}"," ",0,"4/11*(sqrt(x + 1) + 1)^(11/2) - 20/9*(sqrt(x + 1) + 1)^(9/2) + 32/7*(sqrt(x + 1) + 1)^(7/2) - 16/5*(sqrt(x + 1) + 1)^(5/2) + 4/3*(sqrt(x + 1) + 1)^(3/2) - 4*sqrt(sqrt(x + 1) + 1)","A",0
822,0,0,0,0.000000," ","integrate((-1+2*x)/(1+x)/(-a^2*x^2+(1+x)^6)^(1/2),x, algorithm=""maxima"")","\int \frac{2 \, x - 1}{\sqrt{{\left(x + 1\right)}^{6} - a^{2} x^{2}} {\left(x + 1\right)}}\,{d x}"," ",0,"integrate((2*x - 1)/(sqrt((x + 1)^6 - a^2*x^2)*(x + 1)), x)","F",0
823,0,0,0,0.000000," ","integrate(x/(a^2*x^2-b)^(1/2)/(a*x+(a^2*x^2-b)^(1/2))^(1/4),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{a^{2} x^{2} - b} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(x/(sqrt(a^2*x^2 - b)*(a*x + sqrt(a^2*x^2 - b))^(1/4)), x)","F",0
824,0,0,0,0.000000," ","integrate((a*x+(a^2*x^2+b^2)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}\,{d x}"," ",0,"integrate(sqrt(a*x + sqrt(a^2*x^2 + b^2)), x)","F",0
825,0,0,0,0.000000," ","integrate(1/(1+x^(1/2))/(-x^(1/2)+x)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x - \sqrt{x}} {\left(\sqrt{x} + 1\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(x - sqrt(x))*(sqrt(x) + 1)), x)","F",0
826,0,0,0,0.000000," ","integrate(x/(x^2-1)/(x^3+x^2+x)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{x^{3} + x^{2} + x} {\left(x^{2} - 1\right)}}\,{d x}"," ",0,"integrate(x/(sqrt(x^3 + x^2 + x)*(x^2 - 1)), x)","F",0
827,0,0,0,0.000000," ","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=""maxima"")","\int \frac{a b c - 2 \, a {\left(b + c\right)} x + {\left(3 \, a + b + c\right)} x^{2} - 2 \, x^{3}}{\sqrt{-{\left(a - x\right)} {\left(b - x\right)} {\left(c - x\right)} x} {\left({\left(b + c\right)} x^{2} - x^{3} - a d - {\left(b c - d\right)} x\right)}}\,{d x}"," ",0,"integrate((a*b*c - 2*a*(b + c)*x + (3*a + b + c)*x^2 - 2*x^3)/(sqrt(-(a - x)*(b - x)*(c - x)*x)*((b + c)*x^2 - x^3 - a*d - (b*c - d)*x)), x)","F",0
828,0,0,0,0.000000," ","integrate((a*x^3+3*b)/x/(a*x^3-b)/(a*x^3+b)^(1/2),x, algorithm=""maxima"")","\int \frac{a x^{3} + 3 \, b}{\sqrt{a x^{3} + b} {\left(a x^{3} - b\right)} x}\,{d x}"," ",0,"integrate((a*x^3 + 3*b)/(sqrt(a*x^3 + b)*(a*x^3 - b)*x), x)","F",0
829,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{\sqrt{a x^{3} + b x^{2} + c} {\left(a x^{3} - 2 \, c\right)}}{{\left(a x^{3} + {\left(b - 2\right)} x^{2} + c\right)} {\left(a x^{3} + {\left(b - 3\right)} x^{2} + c\right)}}\,{d x}"," ",0,"-integrate(sqrt(a*x^3 + b*x^2 + c)*(a*x^3 - 2*c)/((a*x^3 + (b - 2)*x^2 + c)*(a*x^3 + (b - 3)*x^2 + c)), x)","F",0
830,0,0,0,0.000000," ","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=""maxima"")","\int \frac{a b c - 2 \, a {\left(b + c\right)} x + {\left(3 \, a + b + c\right)} x^{2} - 2 \, x^{3}}{\sqrt{-{\left(a - x\right)} {\left(b - x\right)} {\left(c - x\right)} x} {\left({\left(b + c\right)} d x^{2} - d x^{3} - {\left(b c d - 1\right)} x - a\right)}}\,{d x}"," ",0,"integrate((a*b*c - 2*a*(b + c)*x + (3*a + b + c)*x^2 - 2*x^3)/(sqrt(-(a - x)*(b - x)*(c - x)*x)*((b + c)*d*x^2 - d*x^3 - (b*c*d - 1)*x - a)), x)","F",0
831,0,0,0,0.000000," ","integrate((x^3-1)/(x^3+1)/(x^4+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{3} - 1}{\sqrt{x^{4} + 1} {\left(x^{3} + 1\right)}}\,{d x}"," ",0,"integrate((x^3 - 1)/(sqrt(x^4 + 1)*(x^3 + 1)), x)","F",0
832,0,0,0,0.000000," ","integrate(x^4*(x^4-x)^(1/4),x, algorithm=""maxima"")","\int {\left(x^{4} - x\right)}^{\frac{1}{4}} x^{4}\,{d x}"," ",0,"integrate((x^4 - x)^(1/4)*x^4, x)","F",0
833,0,0,0,0.000000," ","integrate((x^4-x^3)^(1/4),x, algorithm=""maxima"")","\int {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}\,{d x}"," ",0,"integrate((x^4 - x^3)^(1/4), x)","F",0
834,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(2 \, x^{4} + x^{3} + 4\right)} \sqrt{-x^{4} - x^{3} + 2}}{{\left(x^{4} + x^{3} - x^{2} - 2\right)} {\left(x^{4} + x^{3} - 3 \, x^{2} - 2\right)}}\,{d x}"," ",0,"integrate((2*x^4 + x^3 + 4)*sqrt(-x^4 - x^3 + 2)/((x^4 + x^3 - x^2 - 2)*(x^4 + x^3 - 3*x^2 - 2)), x)","F",0
835,0,0,0,0.000000," ","integrate((a*x^4+b*x^3)^(1/4)/x/(a*x+x^2+b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{{\left(a x + x^{2} + b\right)} x}\,{d x}"," ",0,"integrate((a*x^4 + b*x^3)^(1/4)/((a*x + x^2 + b)*x), x)","F",0
836,0,0,0,0.000000," ","integrate((a*x^4+b*x^3)^(1/4)/x/(a*x+x^2+b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{{\left(a x + x^{2} + b\right)} x}\,{d x}"," ",0,"integrate((a*x^4 + b*x^3)^(1/4)/((a*x + x^2 + b)*x), x)","F",0
837,0,0,0,0.000000," ","integrate(x^2*(x^6-4)/(x^6-1)^(1/2)/(x^6+2),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} - 4\right)} x^{2}}{{\left(x^{6} + 2\right)} \sqrt{x^{6} - 1}}\,{d x}"," ",0,"integrate((x^6 - 4)*x^2/((x^6 + 2)*sqrt(x^6 - 1)), x)","F",0
838,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(2 \, x^{5} + 3\right)} {\left(x^{5} + x^{3} - 1\right)} {\left(x^{5} - 1\right)}}{{\left(x^{6} - x\right)}^{\frac{1}{4}} {\left(x^{5} - x^{3} - 1\right)} x^{6}}\,{d x}"," ",0,"integrate((2*x^5 + 3)*(x^5 + x^3 - 1)*(x^5 - 1)/((x^6 - x)^(1/4)*(x^5 - x^3 - 1)*x^6), x)","F",0
839,0,0,0,0.000000," ","integrate((x^3+1)^(1/2)*(x^6+2*x^3+2)/x^7/(x^6-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} + 2 \, x^{3} + 2\right)} \sqrt{x^{3} + 1}}{{\left(x^{6} - 1\right)} x^{7}}\,{d x}"," ",0,"integrate((x^6 + 2*x^3 + 2)*sqrt(x^3 + 1)/((x^6 - 1)*x^7), x)","F",0
840,0,0,0,0.000000," ","integrate((x^5+x^2-1)^(1/2)*(3*x^5+2)/(x^10-2*x^5+x^4+1),x, algorithm=""maxima"")","\int \frac{{\left(3 \, x^{5} + 2\right)} \sqrt{x^{5} + x^{2} - 1}}{x^{10} - 2 \, x^{5} + x^{4} + 1}\,{d x}"," ",0,"integrate((3*x^5 + 2)*sqrt(x^5 + x^2 - 1)/(x^10 - 2*x^5 + x^4 + 1), x)","F",0
841,0,0,0,0.000000," ","integrate(1/x/(x^2+x)^(1/2)/(x^2+x*(x^2+x)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{2} + \sqrt{x^{2} + x} x} \sqrt{x^{2} + x} x}\,{d x}"," ",0,"integrate(1/(sqrt(x^2 + sqrt(x^2 + x)*x)*sqrt(x^2 + x)*x), x)","F",0
842,0,0,0,0.000000," ","integrate((b+(a*x^2+b^2)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{b + \sqrt{a x^{2} + b^{2}}}\,{d x}"," ",0,"integrate(sqrt(b + sqrt(a*x^2 + b^2)), x)","F",0
843,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{\sqrt{x^{2} + 1} \sqrt{x + \sqrt{x^{2} + 1}}}\,{d x}"," ",0,"integrate(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/(sqrt(x^2 + 1)*sqrt(x + sqrt(x^2 + 1))), x)","F",0
844,0,0,0,0.000000," ","integrate((a*x-b)/(a*x+b)/(a^2*x^3+b^2*x)^(1/2),x, algorithm=""maxima"")","\int \frac{a x - b}{\sqrt{a^{2} x^{3} + b^{2} x} {\left(a x + b\right)}}\,{d x}"," ",0,"integrate((a*x - b)/(sqrt(a^2*x^3 + b^2*x)*(a*x + b)), x)","F",0
845,0,0,0,0.000000," ","integrate((a*x+b)/(a*x-b)/(a^2*x^3+b^2*x)^(1/2),x, algorithm=""maxima"")","\int \frac{a x + b}{\sqrt{a^{2} x^{3} + b^{2} x} {\left(a x - b\right)}}\,{d x}"," ",0,"integrate((a*x + b)/(sqrt(a^2*x^3 + b^2*x)*(a*x - b)), x)","F",0
846,0,0,0,0.000000," ","integrate((a*x^3-b*x^2)/(a*x^3+b*x^2)/(a^2*x^3+b^2*x)^(1/2),x, algorithm=""maxima"")","\int \frac{a x^{3} - b x^{2}}{\sqrt{a^{2} x^{3} + b^{2} x} {\left(a x^{3} + b x^{2}\right)}}\,{d x}"," ",0,"integrate((a*x^3 - b*x^2)/(sqrt(a^2*x^3 + b^2*x)*(a*x^3 + b*x^2)), x)","F",0
847,0,0,0,0.000000," ","integrate((2+5*x)/(x^4+2*x^3+5*x^2+20*x-12)^(1/2),x, algorithm=""maxima"")","\int \frac{5 \, x + 2}{\sqrt{x^{4} + 2 \, x^{3} + 5 \, x^{2} + 20 \, x - 12}}\,{d x}"," ",0,"integrate((5*x + 2)/sqrt(x^4 + 2*x^3 + 5*x^2 + 20*x - 12), x)","F",0
848,1,67,0,0.427130," ","integrate((x^3-1)*(x^6-1)^(1/2)/x^7,x, algorithm=""maxima"")","-\frac{\sqrt{x^{6} - 1}}{3 \, x^{3}} + \frac{\sqrt{x^{6} - 1}}{6 \, x^{6}} - \frac{1}{6} \, \arctan\left(\sqrt{x^{6} - 1}\right) + \frac{1}{6} \, \log\left(\frac{\sqrt{x^{6} - 1}}{x^{3}} + 1\right) - \frac{1}{6} \, \log\left(\frac{\sqrt{x^{6} - 1}}{x^{3}} - 1\right)"," ",0,"-1/3*sqrt(x^6 - 1)/x^3 + 1/6*sqrt(x^6 - 1)/x^6 - 1/6*arctan(sqrt(x^6 - 1)) + 1/6*log(sqrt(x^6 - 1)/x^3 + 1) - 1/6*log(sqrt(x^6 - 1)/x^3 - 1)","A",0
849,0,0,0,0.000000," ","integrate((x^6-1)^(1/2)*(2*x^6-1)^2/x^7/(4*x^6-1),x, algorithm=""maxima"")","\int \frac{{\left(2 \, x^{6} - 1\right)}^{2} \sqrt{x^{6} - 1}}{{\left(4 \, x^{6} - 1\right)} x^{7}}\,{d x}"," ",0,"integrate((2*x^6 - 1)^2*sqrt(x^6 - 1)/((4*x^6 - 1)*x^7), x)","F",0
850,0,0,0,0.000000," ","integrate((x^4-2)/(x^4+1)^(1/4)/(2*x^8+x^4-1),x, algorithm=""maxima"")","\int \frac{x^{4} - 2}{{\left(2 \, x^{8} + x^{4} - 1\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((x^4 - 2)/((2*x^8 + x^4 - 1)*(x^4 + 1)^(1/4)), x)","F",0
851,0,0,0,0.000000," ","integrate((10*x^8-x^2)/(x^6-1)^(1/2)/(4*x^6-1),x, algorithm=""maxima"")","\int \frac{10 \, x^{8} - x^{2}}{{\left(4 \, x^{6} - 1\right)} \sqrt{x^{6} - 1}}\,{d x}"," ",0,"integrate((10*x^8 - x^2)/((4*x^6 - 1)*sqrt(x^6 - 1)), x)","F",0
852,1,80,0,0.415624," ","integrate((x^2+1)/(x^2-1)/(2*x^2+1)^(3/2),x, algorithm=""maxima"")","-\frac{1}{9} \, \sqrt{3} \operatorname{arsinh}\left(\frac{2 \, \sqrt{2} x}{{\left| 2 \, x + 2 \right|}} - \frac{\sqrt{2}}{{\left| 2 \, x + 2 \right|}}\right) - \frac{1}{9} \, \sqrt{3} \operatorname{arsinh}\left(\frac{2 \, \sqrt{2} x}{{\left| 2 \, x - 2 \right|}} + \frac{\sqrt{2}}{{\left| 2 \, x - 2 \right|}}\right) - \frac{x}{3 \, \sqrt{2 \, x^{2} + 1}}"," ",0,"-1/9*sqrt(3)*arcsinh(2*sqrt(2)*x/abs(2*x + 2) - sqrt(2)/abs(2*x + 2)) - 1/9*sqrt(3)*arcsinh(2*sqrt(2)*x/abs(2*x - 2) + sqrt(2)/abs(2*x - 2)) - 1/3*x/sqrt(2*x^2 + 1)","A",0
853,1,71,0,0.412525," ","integrate((a*x^2+b)^(3/4)/x,x, algorithm=""maxima"")","\frac{1}{2} \, b {\left(\frac{2 \, \arctan\left(\frac{{\left(a x^{2} + b\right)}^{\frac{1}{4}}}{b^{\frac{1}{4}}}\right)}{b^{\frac{1}{4}}} + \frac{\log\left(\frac{{\left(a x^{2} + b\right)}^{\frac{1}{4}} - b^{\frac{1}{4}}}{{\left(a x^{2} + b\right)}^{\frac{1}{4}} + b^{\frac{1}{4}}}\right)}{b^{\frac{1}{4}}}\right)} + \frac{2}{3} \, {\left(a x^{2} + b\right)}^{\frac{3}{4}}"," ",0,"1/2*b*(2*arctan((a*x^2 + b)^(1/4)/b^(1/4))/b^(1/4) + log(((a*x^2 + b)^(1/4) - b^(1/4))/((a*x^2 + b)^(1/4) + b^(1/4)))/b^(1/4)) + 2/3*(a*x^2 + b)^(3/4)","A",0
854,0,0,0,0.000000," ","integrate((x^2-x+1)/(x^2-1)/(x^3+x)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} - x + 1}{\sqrt{x^{3} + x} {\left(x^{2} - 1\right)}}\,{d x}"," ",0,"integrate((x^2 - x + 1)/(sqrt(x^3 + x)*(x^2 - 1)), x)","F",0
855,0,0,0,0.000000," ","integrate((2*x^2-1)/(x^2+1)/(x^4-x^2-1)^(1/2),x, algorithm=""maxima"")","\int \frac{2 \, x^{2} - 1}{\sqrt{x^{4} - x^{2} - 1} {\left(x^{2} + 1\right)}}\,{d x}"," ",0,"integrate((2*x^2 - 1)/(sqrt(x^4 - x^2 - 1)*(x^2 + 1)), x)","F",0
856,0,0,0,0.000000," ","integrate(1/(a*x^4-2*b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{4} - 2 \, b\right)}}\,{d x}"," ",0,"integrate(1/((a*x^4 + b*x^2)^(1/4)*(a*x^4 - 2*b)), x)","F",0
857,0,0,0,0.000000," ","integrate(1/(a*x^4-2*b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{4} - 2 \, b\right)}}\,{d x}"," ",0,"integrate(1/((a*x^4 + b*x^2)^(1/4)*(a*x^4 - 2*b)), x)","F",0
858,0,0,0,0.000000," ","integrate((c*x^2-2*b)/(c*x^2-b)/(a*x^4+c*x^2-b)^(1/4),x, algorithm=""maxima"")","\int \frac{c x^{2} - 2 \, b}{{\left(a x^{4} + c x^{2} - b\right)}^{\frac{1}{4}} {\left(c x^{2} - b\right)}}\,{d x}"," ",0,"integrate((c*x^2 - 2*b)/((a*x^4 + c*x^2 - b)^(1/4)*(c*x^2 - b)), x)","F",0
859,0,0,0,0.000000," ","integrate((a*x^3-4*b)/(a*x^3-b)/(c*x^4-a*x^3+b)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{3} - 4 \, b}{{\left(c x^{4} - a x^{3} + b\right)}^{\frac{1}{4}} {\left(a x^{3} - b\right)}}\,{d x}"," ",0,"integrate((a*x^3 - 4*b)/((c*x^4 - a*x^3 + b)^(1/4)*(a*x^3 - b)), x)","F",0
860,0,0,0,0.000000," ","integrate((a*x^6-b)/(a*x^6+b)/(a*x^6+a^3*x^3-b)^(1/3),x, algorithm=""maxima"")","\int \frac{a x^{6} - b}{{\left(a x^{6} + a^{3} x^{3} - b\right)}^{\frac{1}{3}} {\left(a x^{6} + b\right)}}\,{d x}"," ",0,"integrate((a*x^6 - b)/((a*x^6 + a^3*x^3 - b)^(1/3)*(a*x^6 + b)), x)","F",0
861,0,0,0,0.000000," ","integrate((a*x^6-b)/(a*x^6+b)/(a*x^6+a^3*x^3-b)^(1/3),x, algorithm=""maxima"")","\int \frac{a x^{6} - b}{{\left(a x^{6} + a^{3} x^{3} - b\right)}^{\frac{1}{3}} {\left(a x^{6} + b\right)}}\,{d x}"," ",0,"integrate((a*x^6 - b)/((a*x^6 + a^3*x^3 - b)^(1/3)*(a*x^6 + b)), x)","F",0
862,0,0,0,0.000000," ","integrate((-x^4+1)^(1/2)*(x^4+1)/(4*x^8-7*x^4+4),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + 1\right)} \sqrt{-x^{4} + 1}}{4 \, x^{8} - 7 \, x^{4} + 4}\,{d x}"," ",0,"integrate((x^4 + 1)*sqrt(-x^4 + 1)/(4*x^8 - 7*x^4 + 4), x)","F",0
863,0,0,0,0.000000," ","integrate(x^4/(a*x^4-b)^(1/4)/(a*x^8-b),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(a x^{8} - b\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(x^4/((a*x^8 - b)*(a*x^4 - b)^(1/4)), x)","F",0
864,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{x + \sqrt{x^{2} + 1}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{x^{2} + 1}\,{d x}"," ",0,"integrate(sqrt(x + sqrt(x^2 + 1))*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/(x^2 + 1), x)","F",0
865,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{x + \sqrt{x^{2} + 1}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{x^{2} + 1}\,{d x}"," ",0,"integrate(sqrt(x + sqrt(x^2 + 1))*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/(x^2 + 1), x)","F",0
866,0,0,0,0.000000," ","integrate((a*x^3-b)^(1/2)/x/(a*x^3+2*b),x, algorithm=""maxima"")","\int \frac{\sqrt{a x^{3} - b}}{{\left(a x^{3} + 2 \, b\right)} x}\,{d x}"," ",0,"integrate(sqrt(a*x^3 - b)/((a*x^3 + 2*b)*x), x)","F",0
867,0,0,0,0.000000," ","integrate((4*a*x^3-b)/x/(a*x^3-b)^(1/2)/(a*x^3+2*b),x, algorithm=""maxima"")","\int \frac{4 \, a x^{3} - b}{{\left(a x^{3} + 2 \, b\right)} \sqrt{a x^{3} - b} x}\,{d x}"," ",0,"integrate((4*a*x^3 - b)/((a*x^3 + 2*b)*sqrt(a*x^3 - b)*x), x)","F",0
868,0,0,0,0.000000," ","integrate((x^4+6*x^2+1)^(1/2)/(-1+x)/(1+x)^3,x, algorithm=""maxima"")","\int \frac{\sqrt{x^{4} + 6 \, x^{2} + 1}}{{\left(x + 1\right)}^{3} {\left(x - 1\right)}}\,{d x}"," ",0,"integrate(sqrt(x^4 + 6*x^2 + 1)/((x + 1)^3*(x - 1)), x)","F",0
869,1,66,0,0.408636," ","integrate((a*x^4+b)^(1/4)/x,x, algorithm=""maxima"")","-\frac{1}{2} \, b^{\frac{1}{4}} \arctan\left(\frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{b^{\frac{1}{4}}}\right) + \frac{1}{4} \, b^{\frac{1}{4}} \log\left(\frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}} - b^{\frac{1}{4}}}{{\left(a x^{4} + b\right)}^{\frac{1}{4}} + b^{\frac{1}{4}}}\right) + {\left(a x^{4} + b\right)}^{\frac{1}{4}}"," ",0,"-1/2*b^(1/4)*arctan((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) + b^(1/4))) + (a*x^4 + b)^(1/4)","A",0
870,0,0,0,0.000000," ","integrate(1/(a*x^4-2*b)/(a*x^4-b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{4} - 2 \, b\right)}}\,{d x}"," ",0,"integrate(1/((a*x^4 - b*x^2)^(1/4)*(a*x^4 - 2*b)), x)","F",0
871,0,0,0,0.000000," ","integrate(1/(a*x^4-2*b)/(a*x^4-b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{4} - 2 \, b\right)}}\,{d x}"," ",0,"integrate(1/((a*x^4 - b*x^2)^(1/4)*(a*x^4 - 2*b)), x)","F",0
872,0,0,0,0.000000," ","integrate(x^6/(a*x^4+b)^(3/4)/(a^2*x^8+b^2),x, algorithm=""maxima"")","\int \frac{x^{6}}{{\left(a^{2} x^{8} + b^{2}\right)} {\left(a x^{4} + b\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(x^6/((a^2*x^8 + b^2)*(a*x^4 + b)^(3/4)), x)","F",0
873,0,0,0,0.000000," ","integrate((x^3+x^2*(x^2-1)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{x^{3} + \sqrt{x^{2} - 1} x^{2}}\,{d x}"," ",0,"integrate(sqrt(x^3 + sqrt(x^2 - 1)*x^2), x)","F",0
874,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(a b - x^{2}\right)} {\left(a - x\right)} {\left(b - x\right)}}{\sqrt{{\left(a - x\right)} {\left(b - x\right)} x} {\left(a b - {\left(a + b + d\right)} x + x^{2}\right)} x}\,{d x}"," ",0,"-integrate((a*b - x^2)*(a - x)*(b - x)/(sqrt((a - x)*(b - x)*x)*(a*b - (a + b + d)*x + x^2)*x), x)","F",0
875,0,0,0,0.000000," ","integrate(1/(a^3*x^2+b)/(a^3*x^3-b*x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} x^{2} + b\right)}}\,{d x}"," ",0,"integrate(1/((a^3*x^3 - b*x^2)^(1/3)*(a^3*x^2 + b)), x)","F",0
876,0,0,0,0.000000," ","integrate(1/(a^3*x^2+b)/(a^3*x^3-b*x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} x^{2} + b\right)}}\,{d x}"," ",0,"integrate(1/((a^3*x^3 - b*x^2)^(1/3)*(a^3*x^2 + b)), x)","F",0
877,0,0,0,0.000000," ","integrate((x^4-1)^(1/2)/(x^4+1),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{4} - 1}}{x^{4} + 1}\,{d x}"," ",0,"integrate(sqrt(x^4 - 1)/(x^4 + 1), x)","F",0
878,0,0,0,0.000000," ","integrate(x^2*(x^4-x^2)^(1/4),x, algorithm=""maxima"")","\int {\left(x^{4} - x^{2}\right)}^{\frac{1}{4}} x^{2}\,{d x}"," ",0,"integrate((x^4 - x^2)^(1/4)*x^2, x)","F",0
879,0,0,0,0.000000," ","integrate(x/(x^4-2*x^3+3*x^2+4*x+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{x^{4} - 2 \, x^{3} + 3 \, x^{2} + 4 \, x + 1}}\,{d x}"," ",0,"integrate(x/sqrt(x^4 - 2*x^3 + 3*x^2 + 4*x + 1), x)","F",0
880,0,0,0,0.000000," ","integrate(x/(x^4+2*x^3+3*x^2-4*x+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{x^{4} + 2 \, x^{3} + 3 \, x^{2} - 4 \, x + 1}}\,{d x}"," ",0,"integrate(x/sqrt(x^4 + 2*x^3 + 3*x^2 - 4*x + 1), x)","F",0
881,0,0,0,0.000000," ","integrate((2*x^4-3*x^2+3)/(x^2-1)^(1/4)/(x^4-3*x^2+2),x, algorithm=""maxima"")","\int \frac{2 \, x^{4} - 3 \, x^{2} + 3}{{\left(x^{4} - 3 \, x^{2} + 2\right)} {\left(x^{2} - 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((2*x^4 - 3*x^2 + 3)/((x^4 - 3*x^2 + 2)*(x^2 - 1)^(1/4)), x)","F",0
882,0,0,0,0.000000," ","integrate(x^2/(a*x^4-b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{4} - b\right)}}\,{d x}"," ",0,"integrate(x^2/((a*x^4 + b*x^2)^(1/4)*(a*x^4 - b)), x)","F",0
883,0,0,0,0.000000," ","integrate(x^2/(a*x^4-b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{4} - b\right)}}\,{d x}"," ",0,"integrate(x^2/((a*x^4 + b*x^2)^(1/4)*(a*x^4 - b)), x)","F",0
884,0,0,0,0.000000," ","integrate((x^3+4*b)/(x^3+b)/(a*x^4-x^3-b)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{3} + 4 \, b}{{\left(a x^{4} - x^{3} - b\right)}^{\frac{1}{4}} {\left(x^{3} + b\right)}}\,{d x}"," ",0,"integrate((x^3 + 4*b)/((a*x^4 - x^3 - b)^(1/4)*(x^3 + b)), x)","F",0
885,0,0,0,0.000000," ","integrate((a*x^5+4*b)/(a*x^5-b)/(a*x^5+c*x^4-b)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{5} + 4 \, b}{{\left(a x^{5} + c x^{4} - b\right)}^{\frac{1}{4}} {\left(a x^{5} - b\right)}}\,{d x}"," ",0,"integrate((a*x^5 + 4*b)/((a*x^5 + c*x^4 - b)^(1/4)*(a*x^5 - b)), x)","F",0
886,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(4 \, x^{6} + 1\right)} \sqrt{-2 \, x^{6} + x^{2} + 1}}{{\left(2 \, x^{6} - 2 \, x^{2} - 1\right)} {\left(2 \, x^{6} - 4 \, x^{2} - 1\right)}}\,{d x}"," ",0,"integrate((4*x^6 + 1)*sqrt(-2*x^6 + x^2 + 1)/((2*x^6 - 2*x^2 - 1)*(2*x^6 - 4*x^2 - 1)), x)","F",0
887,0,0,0,0.000000," ","integrate(x^4/(x^4-1)^(1/4)/(x^8-1),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(x^{8} - 1\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(x^4/((x^8 - 1)*(x^4 - 1)^(1/4)), x)","F",0
888,0,0,0,0.000000," ","integrate(1/(x^4+1)^(1/4)/(x^8-1),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{8} - 1\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((x^8 - 1)*(x^4 + 1)^(1/4)), x)","F",0
889,0,0,0,0.000000," ","integrate((2*x^4-1)/(x^4-1)^(1/4)/(x^8-1),x, algorithm=""maxima"")","\int \frac{2 \, x^{4} - 1}{{\left(x^{8} - 1\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((2*x^4 - 1)/((x^8 - 1)*(x^4 - 1)^(1/4)), x)","F",0
890,0,0,0,0.000000," ","integrate((x^8+1)/(x^4+1)^(1/2)/(x^8-1),x, algorithm=""maxima"")","\int \frac{x^{8} + 1}{{\left(x^{8} - 1\right)} \sqrt{x^{4} + 1}}\,{d x}"," ",0,"integrate((x^8 + 1)/((x^8 - 1)*sqrt(x^4 + 1)), x)","F",0
891,0,0,0,0.000000," ","integrate((x^12-1)/(x^4+1)^(1/2)/(x^12+1),x, algorithm=""maxima"")","\int \frac{x^{12} - 1}{{\left(x^{12} + 1\right)} \sqrt{x^{4} + 1}}\,{d x}"," ",0,"integrate((x^12 - 1)/((x^12 + 1)*sqrt(x^4 + 1)), x)","F",0
892,0,0,0,0.000000," ","integrate((x^2-1)/(x^2+1)^(1/2)/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} - 1}{\sqrt{x^{2} + 1} \sqrt{x + \sqrt{x^{2} + 1}}}\,{d x}"," ",0,"integrate((x^2 - 1)/(sqrt(x^2 + 1)*sqrt(x + sqrt(x^2 + 1))), x)","F",0
893,0,0,0,0.000000," ","integrate((x^2+1)^(1/2)/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{2} + 1}}{\sqrt{x + \sqrt{x^{2} + 1}}}\,{d x}"," ",0,"integrate(sqrt(x^2 + 1)/sqrt(x + sqrt(x^2 + 1)), x)","F",0
894,0,0,0,0.000000," ","integrate(1/(a^3*x^2-b)/(a^3*x^3-b*x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} x^{2} - b\right)}}\,{d x}"," ",0,"integrate(1/((a^3*x^3 - b*x^2)^(1/3)*(a^3*x^2 - b)), x)","F",0
895,0,0,0,0.000000," ","integrate(1/(a^3*x^2-b)/(a^3*x^3-b*x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} x^{2} - b\right)}}\,{d x}"," ",0,"integrate(1/((a^3*x^3 - b*x^2)^(1/3)*(a^3*x^2 - b)), x)","F",0
896,0,0,0,0.000000," ","integrate(1/(a*x^2+b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a x^{2} + b\right)}}\,{d x}"," ",0,"integrate(1/((a^3*x^3 + b^2*x^2)^(1/3)*(a*x^2 + b)), x)","F",0
897,0,0,0,0.000000," ","integrate(1/(a*x^2+b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a x^{2} + b\right)}}\,{d x}"," ",0,"integrate(1/((a^3*x^3 + b^2*x^2)^(1/3)*(a*x^2 + b)), x)","F",0
898,0,0,0,0.000000," ","integrate(x^7*(x^4-x)^(1/4),x, algorithm=""maxima"")","\int {\left(x^{4} - x\right)}^{\frac{1}{4}} x^{7}\,{d x}"," ",0,"integrate((x^4 - x)^(1/4)*x^7, x)","F",0
899,0,0,0,0.000000," ","integrate((x^2+2)*(x^4-x^2-1)^(1/4)*(x^4+x^2+1)/x^6/(x^2+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + x^{2} + 1\right)} {\left(x^{4} - x^{2} - 1\right)}^{\frac{1}{4}} {\left(x^{2} + 2\right)}}{{\left(x^{2} + 1\right)} x^{6}}\,{d x}"," ",0,"integrate((x^4 + x^2 + 1)*(x^4 - x^2 - 1)^(1/4)*(x^2 + 2)/((x^2 + 1)*x^6), x)","F",0
900,0,0,0,0.000000," ","integrate((x^4+x^3)^(1/4)/x^2/(x^2-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{{\left(x^{2} - 1\right)} x^{2}}\,{d x}"," ",0,"integrate((x^4 + x^3)^(1/4)/((x^2 - 1)*x^2), x)","F",0
901,1,86,0,0.411873," ","integrate((2*a*x^4+b)/x^2/(a*x^4+b)^(3/4),x, algorithm=""maxima"")","\frac{1}{2} \, a {\left(\frac{2 \, \arctan\left(\frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}} x}\right)}{a^{\frac{3}{4}}} - \frac{\log\left(-\frac{a^{\frac{1}{4}} - \frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}}{a^{\frac{1}{4}} + \frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}}\right)}{a^{\frac{3}{4}}}\right)} - \frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}"," ",0,"1/2*a*(2*arctan((a*x^4 + b)^(1/4)/(a^(1/4)*x))/a^(3/4) - log(-(a^(1/4) - (a*x^4 + b)^(1/4)/x)/(a^(1/4) + (a*x^4 + b)^(1/4)/x))/a^(3/4)) - (a*x^4 + b)^(1/4)/x","A",0
902,0,0,0,0.000000," ","integrate((x^2+1)*(x^6+x^2)^(1/4)/x^2/(x^2-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(x^{2} + 1\right)}}{{\left(x^{2} - 1\right)} x^{2}}\,{d x}"," ",0,"integrate((x^6 + x^2)^(1/4)*(x^2 + 1)/((x^2 - 1)*x^2), x)","F",0
903,0,0,0,0.000000," ","integrate((x^3-1)^(1/2)*(x^6-x^3+1)/x^10/(x^3+2),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} - x^{3} + 1\right)} \sqrt{x^{3} - 1}}{{\left(x^{3} + 2\right)} x^{10}}\,{d x}"," ",0,"integrate((x^6 - x^3 + 1)*sqrt(x^3 - 1)/((x^3 + 2)*x^10), x)","F",0
904,0,0,0,0.000000," ","integrate((x^2+x*(x^2+x)^(1/2))^(1/2)/x/(x^2+x)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{2} + \sqrt{x^{2} + x} x}}{\sqrt{x^{2} + x} x}\,{d x}"," ",0,"integrate(sqrt(x^2 + sqrt(x^2 + x)*x)/(sqrt(x^2 + x)*x), x)","F",0
905,0,0,0,0.000000," ","integrate(1/(a*x^2-b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a x^{2} - b\right)}}\,{d x}"," ",0,"integrate(1/((a^3*x^3 + b^2*x^2)^(1/3)*(a*x^2 - b)), x)","F",0
906,0,0,0,0.000000," ","integrate(1/(a*x^2-b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a x^{2} - b\right)}}\,{d x}"," ",0,"integrate(1/((a^3*x^3 + b^2*x^2)^(1/3)*(a*x^2 - b)), x)","F",0
907,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(3 \, a b - 2 \, {\left(a + b\right)} x + x^{2}\right)} {\left(a - x\right)} {\left(b - x\right)}}{{\left(d x^{3} - a b + {\left(a + b\right)} x - x^{2}\right)} \sqrt{{\left(a - x\right)} {\left(b - x\right)} x} x^{2}}\,{d x}"," ",0,"integrate((3*a*b - 2*(a + b)*x + x^2)*(a - x)*(b - x)/((d*x^3 - a*b + (a + b)*x - x^2)*sqrt((a - x)*(b - x)*x)*x^2), x)","F",0
908,0,0,0,0.000000," ","integrate(1/(x^3+1)/(x^4-x)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{4} - x\right)}^{\frac{1}{4}} {\left(x^{3} + 1\right)}}\,{d x}"," ",0,"integrate(1/((x^4 - x)^(1/4)*(x^3 + 1)), x)","F",0
909,0,0,0,0.000000," ","integrate(x*(x^4-x^2)^(1/2)/(2*x^2-3),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{4} - x^{2}} x}{2 \, x^{2} - 3}\,{d x}"," ",0,"integrate(sqrt(x^4 - x^2)*x/(2*x^2 - 3), x)","F",0
910,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{x^{4} - x^{2} - 1} {\left(x^{4} + 1\right)} {\left(x^{4} - 1\right)}}{{\left(2 \, x^{4} + x^{2} - 2\right)} {\left(2 \, x^{4} - x^{2} - 2\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(x^4 - x^2 - 1)*(x^4 + 1)*(x^4 - 1)/((2*x^4 + x^2 - 2)*(2*x^4 - x^2 - 2)^2), x)","F",0
911,0,0,0,0.000000," ","integrate((a*x^2+b)/(x^4+a*x^2+b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{2} + b}{{\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} + a x^{2} + b\right)}}\,{d x}"," ",0,"integrate((a*x^2 + b)/((a*x^4 + b*x^2)^(1/4)*(x^4 + a*x^2 + b)), x)","F",0
912,0,0,0,0.000000," ","integrate((a*x^2+b)/(x^4+a*x^2+b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{2} + b}{{\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} + a x^{2} + b\right)}}\,{d x}"," ",0,"integrate((a*x^2 + b)/((a*x^4 + b*x^2)^(1/4)*(x^4 + a*x^2 + b)), x)","F",0
913,0,0,0,0.000000," ","integrate((a*x^2-b)*(a^2*x^4+b^2)^(1/2)/x^2/(a*x^2+b),x, algorithm=""maxima"")","\int \frac{\sqrt{a^{2} x^{4} + b^{2}} {\left(a x^{2} - b\right)}}{{\left(a x^{2} + b\right)} x^{2}}\,{d x}"," ",0,"integrate(sqrt(a^2*x^4 + b^2)*(a*x^2 - b)/((a*x^2 + b)*x^2), x)","F",0
914,0,0,0,0.000000," ","integrate((a*x^3+4*b)/(a*x^3+b)/(c*x^4-a*x^3-b)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{3} + 4 \, b}{{\left(c x^{4} - a x^{3} - b\right)}^{\frac{1}{4}} {\left(a x^{3} + b\right)}}\,{d x}"," ",0,"integrate((a*x^3 + 4*b)/((c*x^4 - a*x^3 - b)^(1/4)*(a*x^3 + b)), x)","F",0
915,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{4} + x^{3} + 1\right)} {\left(x^{4} + 1\right)} {\left(x^{4} - 3\right)}}{{\left(x^{5} + x\right)}^{\frac{1}{4}} {\left(x^{4} - x^{3} + 1\right)} x^{6}}\,{d x}"," ",0,"integrate((x^4 + x^3 + 1)*(x^4 + 1)*(x^4 - 3)/((x^5 + x)^(1/4)*(x^4 - x^3 + 1)*x^6), x)","F",0
916,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{8} + x^{6} + 2 \, x^{4} + 1\right)} {\left(x^{4} - 3\right)}}{{\left(x^{5} + x\right)}^{\frac{1}{4}} {\left(x^{4} - x^{3} + 1\right)} x^{6}}\,{d x}"," ",0,"integrate((x^8 + x^6 + 2*x^4 + 1)*(x^4 - 3)/((x^5 + x)^(1/4)*(x^4 - x^3 + 1)*x^6), x)","F",0
917,1,71,0,0.410584," ","integrate((a*x^3+b)^(3/4)/x,x, algorithm=""maxima"")","\frac{1}{3} \, b {\left(\frac{2 \, \arctan\left(\frac{{\left(a x^{3} + b\right)}^{\frac{1}{4}}}{b^{\frac{1}{4}}}\right)}{b^{\frac{1}{4}}} + \frac{\log\left(\frac{{\left(a x^{3} + b\right)}^{\frac{1}{4}} - b^{\frac{1}{4}}}{{\left(a x^{3} + b\right)}^{\frac{1}{4}} + b^{\frac{1}{4}}}\right)}{b^{\frac{1}{4}}}\right)} + \frac{4}{9} \, {\left(a x^{3} + b\right)}^{\frac{3}{4}}"," ",0,"1/3*b*(2*arctan((a*x^3 + b)^(1/4)/b^(1/4))/b^(1/4) + log(((a*x^3 + b)^(1/4) - b^(1/4))/((a*x^3 + b)^(1/4) + b^(1/4)))/b^(1/4)) + 4/9*(a*x^3 + b)^(3/4)","A",0
918,1,88,0,0.402782," ","integrate((3*x^4+3*x+1)/x/(x^4+1)^(1/4),x, algorithm=""maxima"")","{\left(x^{4} + 1\right)}^{\frac{3}{4}} + \frac{1}{2} \, \arctan\left({\left(x^{4} + 1\right)}^{\frac{1}{4}}\right) - \frac{3}{2} \, \arctan\left(\frac{{\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\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) + \frac{3}{4} \, \log\left(\frac{{\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x} + 1\right) - \frac{3}{4} \, \log\left(\frac{{\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x} - 1\right)"," ",0,"(x^4 + 1)^(3/4) + 1/2*arctan((x^4 + 1)^(1/4)) - 3/2*arctan((x^4 + 1)^(1/4)/x) - 1/4*log((x^4 + 1)^(1/4) + 1) + 1/4*log((x^4 + 1)^(1/4) - 1) + 3/4*log((x^4 + 1)^(1/4)/x + 1) - 3/4*log((x^4 + 1)^(1/4)/x - 1)","A",0
919,1,71,0,0.415365," ","integrate((a*x^4+b)^(3/4)/x,x, algorithm=""maxima"")","\frac{1}{4} \, b {\left(\frac{2 \, \arctan\left(\frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{b^{\frac{1}{4}}}\right)}{b^{\frac{1}{4}}} + \frac{\log\left(\frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}} - b^{\frac{1}{4}}}{{\left(a x^{4} + b\right)}^{\frac{1}{4}} + b^{\frac{1}{4}}}\right)}{b^{\frac{1}{4}}}\right)} + \frac{1}{3} \, {\left(a x^{4} + b\right)}^{\frac{3}{4}}"," ",0,"1/4*b*(2*arctan((a*x^4 + b)^(1/4)/b^(1/4))/b^(1/4) + log(((a*x^4 + b)^(1/4) - b^(1/4))/((a*x^4 + b)^(1/4) + b^(1/4)))/b^(1/4)) + 1/3*(a*x^4 + b)^(3/4)","A",0
920,0,0,0,0.000000," ","integrate((x^2-1)/(x^2+1)/(a*x^4+b*x^3+c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} - 1}{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left(x^{2} + 1\right)}}\,{d x}"," ",0,"integrate((x^2 - 1)/(sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*(x^2 + 1)), x)","F",0
921,0,0,0,0.000000," ","integrate((a*x^2+b)*(a^2*x^4+b^2)^(1/2)/x^2/(a*x^2-b),x, algorithm=""maxima"")","\int \frac{\sqrt{a^{2} x^{4} + b^{2}} {\left(a x^{2} + b\right)}}{{\left(a x^{2} - b\right)} x^{2}}\,{d x}"," ",0,"integrate(sqrt(a^2*x^4 + b^2)*(a*x^2 + b)/((a*x^2 - b)*x^2), x)","F",0
922,1,71,0,0.444181," ","integrate((a*x^5+b)^(3/4)/x,x, algorithm=""maxima"")","\frac{1}{5} \, b {\left(\frac{2 \, \arctan\left(\frac{{\left(a x^{5} + b\right)}^{\frac{1}{4}}}{b^{\frac{1}{4}}}\right)}{b^{\frac{1}{4}}} + \frac{\log\left(\frac{{\left(a x^{5} + b\right)}^{\frac{1}{4}} - b^{\frac{1}{4}}}{{\left(a x^{5} + b\right)}^{\frac{1}{4}} + b^{\frac{1}{4}}}\right)}{b^{\frac{1}{4}}}\right)} + \frac{4}{15} \, {\left(a x^{5} + b\right)}^{\frac{3}{4}}"," ",0,"1/5*b*(2*arctan((a*x^5 + b)^(1/4)/b^(1/4))/b^(1/4) + log(((a*x^5 + b)^(1/4) - b^(1/4))/((a*x^5 + b)^(1/4) + b^(1/4)))/b^(1/4)) + 4/15*(a*x^5 + b)^(3/4)","A",0
923,0,0,0,0.000000," ","integrate((2*x^5+3)*(-x^6-2*x^4+x)^(1/2)/(x^5-1)^2,x, algorithm=""maxima"")","\int \frac{\sqrt{-x^{6} - 2 \, x^{4} + x} {\left(2 \, x^{5} + 3\right)}}{{\left(x^{5} - 1\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(-x^6 - 2*x^4 + x)*(2*x^5 + 3)/(x^5 - 1)^2, x)","F",0
924,0,0,0,0.000000," ","integrate((x^6-2)*(x^6+1)*(x^6-x^4+1)^(1/4)/x^6/(x^6-2*x^4+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} - x^{4} + 1\right)}^{\frac{1}{4}} {\left(x^{6} + 1\right)} {\left(x^{6} - 2\right)}}{{\left(x^{6} - 2 \, x^{4} + 1\right)} x^{6}}\,{d x}"," ",0,"integrate((x^6 - x^4 + 1)^(1/4)*(x^6 + 1)*(x^6 - 2)/((x^6 - 2*x^4 + 1)*x^6), x)","F",0
925,1,71,0,0.400784," ","integrate((a*x^6+b)^(3/4)/x,x, algorithm=""maxima"")","\frac{1}{6} \, b {\left(\frac{2 \, \arctan\left(\frac{{\left(a x^{6} + b\right)}^{\frac{1}{4}}}{b^{\frac{1}{4}}}\right)}{b^{\frac{1}{4}}} + \frac{\log\left(\frac{{\left(a x^{6} + b\right)}^{\frac{1}{4}} - b^{\frac{1}{4}}}{{\left(a x^{6} + b\right)}^{\frac{1}{4}} + b^{\frac{1}{4}}}\right)}{b^{\frac{1}{4}}}\right)} + \frac{2}{9} \, {\left(a x^{6} + b\right)}^{\frac{3}{4}}"," ",0,"1/6*b*(2*arctan((a*x^6 + b)^(1/4)/b^(1/4))/b^(1/4) + log(((a*x^6 + b)^(1/4) - b^(1/4))/((a*x^6 + b)^(1/4) + b^(1/4)))/b^(1/4)) + 2/9*(a*x^6 + b)^(3/4)","A",0
926,0,0,0,0.000000," ","integrate((1+x)^(1/2)/(x+(1+x)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{x + 1}}{\sqrt{x + \sqrt{x + 1}}}\,{d x}"," ",0,"integrate(sqrt(x + 1)/sqrt(x + sqrt(x + 1)), x)","F",0
927,0,0,0,0.000000," ","integrate((x+(1+x)^(1/2))^(1/2)/(1+x)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{x + \sqrt{x + 1}}}{\sqrt{x + 1}}\,{d x}"," ",0,"integrate(sqrt(x + sqrt(x + 1))/sqrt(x + 1), x)","F",0
928,0,0,0,0.000000," ","integrate((x^2-1)*(1+(x^2+1)^(1/2))^(1/2)/(x^2+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{2} - 1\right)} \sqrt{\sqrt{x^{2} + 1} + 1}}{x^{2} + 1}\,{d x}"," ",0,"integrate((x^2 - 1)*sqrt(sqrt(x^2 + 1) + 1)/(x^2 + 1), x)","F",0
929,0,0,0,0.000000," ","integrate(1/(x^2+(x^4+1)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{2} + \sqrt{x^{4} + 1}}}\,{d x}"," ",0,"integrate(1/sqrt(x^2 + sqrt(x^4 + 1)), x)","F",0
930,0,0,0,0.000000," ","integrate((x^2+(x^4+1)^(1/2))^(1/2)/x^2,x, algorithm=""maxima"")","\int \frac{\sqrt{x^{2} + \sqrt{x^{4} + 1}}}{x^{2}}\,{d x}"," ",0,"integrate(sqrt(x^2 + sqrt(x^4 + 1))/x^2, x)","F",0
931,0,0,0,0.000000," ","integrate(1/((-1+x)^(1/2)+2*x^(1/2))^2/(-1+x)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x - 1} {\left(\sqrt{x - 1} + 2 \, \sqrt{x}\right)}^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(x - 1)*(sqrt(x - 1) + 2*sqrt(x))^2), x)","F",0
932,0,0,0,0.000000," ","integrate(1/(x^2-1)^(1/2)/(3*x^2-4)^2,x, algorithm=""maxima"")","\int \frac{1}{{\left(3 \, x^{2} - 4\right)}^{2} \sqrt{x^{2} - 1}}\,{d x}"," ",0,"integrate(1/((3*x^2 - 4)^2*sqrt(x^2 - 1)), x)","F",0
933,1,54,0,0.471244," ","integrate(1/x/(x^3+1)^(1/3),x, algorithm=""maxima"")","\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{3} + 1\right)}^{\frac{1}{3}} + 1\right)}\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(1/3*sqrt(3)*(2*(x^3 + 1)^(1/3) + 1)) - 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
934,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(k x^{2} - 2 \, {\left(k + 1\right)} x + 3\right)} x^{2}}{{\left(d x^{3} - k x^{2} + {\left(k + 1\right)} x - 1\right)} \left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((k*x^2 - 2*(k + 1)*x + 3)*x^2/((d*x^3 - k*x^2 + (k + 1)*x - 1)*((k*x - 1)*(x - 1)*x)^(3/4)), x)","F",0
935,0,0,0,0.000000," ","integrate((a*x^2-b)/(x^4+a*x^2-b)/(a*x^4-b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{2} - b}{{\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} + a x^{2} - b\right)}}\,{d x}"," ",0,"integrate((a*x^2 - b)/((a*x^4 - b*x^2)^(1/4)*(x^4 + a*x^2 - b)), x)","F",0
936,0,0,0,0.000000," ","integrate((a*x^2-b)/(x^4+a*x^2-b)/(a*x^4-b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{2} - b}{{\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} + a x^{2} - b\right)}}\,{d x}"," ",0,"integrate((a*x^2 - b)/((a*x^4 - b*x^2)^(1/4)*(x^4 + a*x^2 - b)), x)","F",0
937,0,0,0,0.000000," ","integrate((x^3-x)^(1/3)/(a*x^6+b),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} - x\right)}^{\frac{1}{3}}}{a x^{6} + b}\,{d x}"," ",0,"integrate((x^3 - x)^(1/3)/(a*x^6 + b), x)","F",0
938,0,0,0,0.000000," ","integrate((x^3-x)^(1/3)/(a*x^6+b),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} - x\right)}^{\frac{1}{3}}}{a x^{6} + b}\,{d x}"," ",0,"integrate((x^3 - x)^(1/3)/(a*x^6 + b), x)","F",0
939,0,0,0,0.000000," ","integrate((a*x^6-2*b)*(a*x^6+b)^(3/4)/x^4/(a*x^6-c*x^4+b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{6} + b\right)}^{\frac{3}{4}} {\left(a x^{6} - 2 \, b\right)}}{{\left(a x^{6} - c x^{4} + b\right)} x^{4}}\,{d x}"," ",0,"integrate((a*x^6 + b)^(3/4)*(a*x^6 - 2*b)/((a*x^6 - c*x^4 + b)*x^4), x)","F",0
940,0,0,0,0.000000," ","integrate((a*x^8+b)/(a*x^8-b)/(a*x^8+c*x^4-b)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{8} + b}{{\left(a x^{8} + c x^{4} - b\right)}^{\frac{1}{4}} {\left(a x^{8} - b\right)}}\,{d x}"," ",0,"integrate((a*x^8 + b)/((a*x^8 + c*x^4 - b)^(1/4)*(a*x^8 - b)), x)","F",0
941,0,0,0,0.000000," ","integrate((x^5+1)^(1/2)*(3*x^5-2)/(x^10+2*x^5+x^4+1),x, algorithm=""maxima"")","\int \frac{{\left(3 \, x^{5} - 2\right)} \sqrt{x^{5} + 1}}{x^{10} + 2 \, x^{5} + x^{4} + 1}\,{d x}"," ",0,"integrate((3*x^5 - 2)*sqrt(x^5 + 1)/(x^10 + 2*x^5 + x^4 + 1), x)","F",0
942,0,0,0,0.000000," ","integrate(1/(2*x+(x^2+1)^(1/2))^2,x, algorithm=""maxima"")","\int \frac{1}{{\left(2 \, x + \sqrt{x^{2} + 1}\right)}^{2}}\,{d x}"," ",0,"integrate((2*x + sqrt(x^2 + 1))^(-2), x)","F",0
943,0,0,0,0.000000," ","integrate((a*x^2+x*(a^2*x^2-b)^(1/2))^(1/2)/x/(a^2*x^2-b)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{a x^{2} + \sqrt{a^{2} x^{2} - b} x}}{\sqrt{a^{2} x^{2} - b} x}\,{d x}"," ",0,"integrate(sqrt(a*x^2 + sqrt(a^2*x^2 - b)*x)/(sqrt(a^2*x^2 - b)*x), x)","F",0
944,0,0,0,0.000000," ","integrate((1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(x^2+1),x, algorithm=""maxima"")","\int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{x^{2} + 1}\,{d x}"," ",0,"integrate(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/(x^2 + 1), x)","F",0
945,0,0,0,0.000000," ","integrate((1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(x^2+1),x, algorithm=""maxima"")","\int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{x^{2} + 1}\,{d x}"," ",0,"integrate(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/(x^2 + 1), x)","F",0
946,0,0,0,0.000000," ","integrate((x^2+2*x+1)^(1/3)/(x^3+x^2+x+4),x, algorithm=""maxima"")","\int \frac{{\left(x^{2} + 2 \, x + 1\right)}^{\frac{1}{3}}}{x^{3} + x^{2} + x + 4}\,{d x}"," ",0,"integrate((x^2 + 2*x + 1)^(1/3)/(x^3 + x^2 + x + 4), x)","F",0
947,0,0,0,0.000000," ","integrate((x^2-1)*(x^4+1)^(1/2)/(x^2-x+1)/(x^2+x+1)^2,x, algorithm=""maxima"")","\int \frac{\sqrt{x^{4} + 1} {\left(x^{2} - 1\right)}}{{\left(x^{2} + x + 1\right)}^{2} {\left(x^{2} - x + 1\right)}}\,{d x}"," ",0,"integrate(sqrt(x^4 + 1)*(x^2 - 1)/((x^2 + x + 1)^2*(x^2 - x + 1)), x)","F",0
948,0,0,0,0.000000," ","integrate(x^4*(x^4-x^2)^(1/4),x, algorithm=""maxima"")","\int {\left(x^{4} - x^{2}\right)}^{\frac{1}{4}} x^{4}\,{d x}"," ",0,"integrate((x^4 - x^2)^(1/4)*x^4, x)","F",0
949,0,0,0,0.000000," ","integrate(x^4*(x^4+x^3)^(1/4)/(1+x),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x^{4}}{x + 1}\,{d x}"," ",0,"integrate((x^4 + x^3)^(1/4)*x^4/(x + 1), x)","F",0
950,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a x^{3} - x^{4} + b\right)} {\left(a x^{3} + 4 \, b\right)}}{{\left(a x^{3} - 2 \, x^{4} + b\right)} {\left(a x^{3} + b\right)}^{\frac{1}{4}} x^{4}}\,{d x}"," ",0,"integrate((a*x^3 - x^4 + b)*(a*x^3 + 4*b)/((a*x^3 - 2*x^4 + b)*(a*x^3 + b)^(1/4)*x^4), x)","F",0
951,0,0,0,0.000000," ","integrate((a*x^2+b)/(a*x^4+b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{2} + b}{{\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{4} + b\right)}}\,{d x}"," ",0,"integrate((a*x^2 + b)/((a*x^4 + b*x^2)^(1/4)*(a*x^4 + b)), x)","F",0
952,0,0,0,0.000000," ","integrate((a*x^2+b)/(a*x^4+b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{2} + b}{{\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{4} + b\right)}}\,{d x}"," ",0,"integrate((a*x^2 + b)/((a*x^4 + b*x^2)^(1/4)*(a*x^4 + b)), x)","F",0
953,0,0,0,0.000000," ","integrate((1-x)/(x^6+2*x^5+x^4-4*x^3-5*x^2+2*x+3)^(1/2),x, algorithm=""maxima"")","-\int \frac{x - 1}{\sqrt{x^{6} + 2 \, x^{5} + x^{4} - 4 \, x^{3} - 5 \, x^{2} + 2 \, x + 3}}\,{d x}"," ",0,"-integrate((x - 1)/sqrt(x^6 + 2*x^5 + x^4 - 4*x^3 - 5*x^2 + 2*x + 3), x)","F",0
954,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{x^{8} + 2 \, x^{4} + x^{2} + 1} {\left(3 \, x^{4} - 1\right)}}{{\left(x^{4} + x + 1\right)} {\left(x^{4} - x + 1\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(x^8 + 2*x^4 + x^2 + 1)*(3*x^4 - 1)/((x^4 + x + 1)*(x^4 - x + 1)^2), x)","F",0
955,-2,0,0,0.000000," ","integrate((a*x^2+b*x+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
956,0,0,0,0.000000," ","integrate((-1+x)/(x^2-2*x-1)/(x^3-x)^(1/2),x, algorithm=""maxima"")","\int \frac{x - 1}{\sqrt{x^{3} - x} {\left(x^{2} - 2 \, x - 1\right)}}\,{d x}"," ",0,"integrate((x - 1)/(sqrt(x^3 - x)*(x^2 - 2*x - 1)), x)","F",0
957,0,0,0,0.000000," ","integrate((x^2+3*x-2)/(x^2-2*x-1)/(x^3-x)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} + 3 \, x - 2}{\sqrt{x^{3} - x} {\left(x^{2} - 2 \, x - 1\right)}}\,{d x}"," ",0,"integrate((x^2 + 3*x - 2)/(sqrt(x^3 - x)*(x^2 - 2*x - 1)), x)","F",0
958,0,0,0,0.000000," ","integrate(x*(x^2-3)/(x^2-1)^(2/3)/(x^3-x^2+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{2} - 3\right)} x}{{\left(x^{3} - x^{2} + 1\right)} {\left(x^{2} - 1\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((x^2 - 3)*x/((x^3 - x^2 + 1)*(x^2 - 1)^(2/3)), x)","F",0
959,0,0,0,0.000000," ","integrate(x^2*(x^4-x^3)^(1/4),x, algorithm=""maxima"")","\int {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} x^{2}\,{d x}"," ",0,"integrate((x^4 - x^3)^(1/4)*x^2, x)","F",0
960,0,0,0,0.000000," ","integrate((x^4+3)*(-x^5+x^4+x)^(1/2)/(x^4-1)/(x^4+x^3-1),x, algorithm=""maxima"")","\int \frac{\sqrt{-x^{5} + x^{4} + x} {\left(x^{4} + 3\right)}}{{\left(x^{4} + x^{3} - 1\right)} {\left(x^{4} - 1\right)}}\,{d x}"," ",0,"integrate(sqrt(-x^5 + x^4 + x)*(x^4 + 3)/((x^4 + x^3 - 1)*(x^4 - 1)), x)","F",0
961,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{a x^{3} + b x} {\left(a x^{2} - b\right)}}{a^{2} x^{5} + 2 \, {\left(a b - 1\right)} x^{3} + b^{2} x}\,{d x}"," ",0,"integrate(sqrt(a*x^3 + b*x)*(a*x^2 - b)/(a^2*x^5 + 2*(a*b - 1)*x^3 + b^2*x), x)","F",0
962,0,0,0,0.000000," ","integrate((x^3-2)*(x^3+1)^(2/3)/x^3/(x^6+x^3+2),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} + 1\right)}^{\frac{2}{3}} {\left(x^{3} - 2\right)}}{{\left(x^{6} + x^{3} + 2\right)} x^{3}}\,{d x}"," ",0,"integrate((x^3 + 1)^(2/3)*(x^3 - 2)/((x^6 + x^3 + 2)*x^3), x)","F",0
963,0,0,0,0.000000," ","integrate((x^3-2)*(x^3+1)^(2/3)/x^3/(x^6+x^3+2),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} + 1\right)}^{\frac{2}{3}} {\left(x^{3} - 2\right)}}{{\left(x^{6} + x^{3} + 2\right)} x^{3}}\,{d x}"," ",0,"integrate((x^3 + 1)^(2/3)*(x^3 - 2)/((x^6 + x^3 + 2)*x^3), x)","F",0
964,0,0,0,0.000000," ","integrate((2*x^5-3)*(x^6+2*x^4+x)^(1/2)/(x^5+1)/(x^5+x^3+1),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{6} + 2 \, x^{4} + x} {\left(2 \, x^{5} - 3\right)}}{{\left(x^{5} + x^{3} + 1\right)} {\left(x^{5} + 1\right)}}\,{d x}"," ",0,"integrate(sqrt(x^6 + 2*x^4 + x)*(2*x^5 - 3)/((x^5 + x^3 + 1)*(x^5 + 1)), x)","F",0
965,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(2 \, x^{6} + x^{4} + 1\right)} \sqrt{x^{6} + x^{4} + x^{2} - 1}}{x^{12} + 2 \, x^{10} + x^{8} - 2 \, x^{6} - x^{4} + 1}\,{d x}"," ",0,"integrate((2*x^6 + x^4 + 1)*sqrt(x^6 + x^4 + x^2 - 1)/(x^12 + 2*x^10 + x^8 - 2*x^6 - x^4 + 1), x)","F",0
966,0,0,0,0.000000," ","integrate((x^2-x*(x^2-x)^(1/2))^(1/2)/x^3,x, algorithm=""maxima"")","\int \frac{\sqrt{x^{2} - \sqrt{x^{2} - x} x}}{x^{3}}\,{d x}"," ",0,"integrate(sqrt(x^2 - sqrt(x^2 - x)*x)/x^3, x)","F",0
967,1,54,0,0.444872," ","integrate(1/x/(x^2+1)^(2/3),x, algorithm=""maxima"")","-\frac{1}{2} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{2} + 1\right)}^{\frac{1}{3}} + 1\right)}\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(1/3*sqrt(3)*(2*(x^2 + 1)^(1/3) + 1)) - 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
968,1,54,0,0.469613," ","integrate(1/x/(x^2+1)^(1/3),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{2} + 1\right)}^{\frac{1}{3}} + 1\right)}\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(1/3*sqrt(3)*(2*(x^2 + 1)^(1/3) + 1)) - 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
969,0,0,0,0.000000," ","integrate(1/(x^3-1)/(x^3-x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(x^{3} - 1\right)}}\,{d x}"," ",0,"integrate(1/((x^3 - x^2)^(1/3)*(x^3 - 1)), x)","F",0
970,0,0,0,0.000000," ","integrate(1/(x^3-1)/(x^3-x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(x^{3} - 1\right)}}\,{d x}"," ",0,"integrate(1/((x^3 - x^2)^(1/3)*(x^3 - 1)), x)","F",0
971,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{3} - x^{2} - 1\right)}^{2} {\left(x^{3} + 2\right)} \sqrt{x^{3} - 1}}{{\left(2 \, x^{3} - 3 \, x^{2} - 2\right)} x^{6}}\,{d x}"," ",0,"integrate((x^3 - x^2 - 1)^2*(x^3 + 2)*sqrt(x^3 - 1)/((2*x^3 - 3*x^2 - 2)*x^6), x)","F",0
972,0,0,0,0.000000," ","integrate((x^3-3*x^2+3*x-1)^(1/4)/(3*x^3+x^2-2*x-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}^{\frac{1}{4}}}{3 \, x^{3} + x^{2} - 2 \, x - 1}\,{d x}"," ",0,"integrate((x^3 - 3*x^2 + 3*x - 1)^(1/4)/(3*x^3 + x^2 - 2*x - 1), x)","F",0
973,0,0,0,0.000000," ","integrate((x^2+x+1)*(x^2+2*x)*(-x^4+x^2+2*x+1)^(1/2)/(1+x)^4,x, algorithm=""maxima"")","\int \frac{\sqrt{-x^{4} + x^{2} + 2 \, x + 1} {\left(x^{2} + 2 \, x\right)} {\left(x^{2} + x + 1\right)}}{{\left(x + 1\right)}^{4}}\,{d x}"," ",0,"integrate(sqrt(-x^4 + x^2 + 2*x + 1)*(x^2 + 2*x)*(x^2 + x + 1)/(x + 1)^4, x)","F",0
974,1,90,0,0.418924," ","integrate((x^4-x-1)/x/(x^4+1)^(1/4),x, algorithm=""maxima"")","\frac{1}{3} \, {\left(x^{4} + 1\right)}^{\frac{3}{4}} - \frac{1}{2} \, \arctan\left({\left(x^{4} + 1\right)}^{\frac{1}{4}}\right) + \frac{1}{2} \, \arctan\left(\frac{{\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x}\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) - \frac{1}{4} \, \log\left(\frac{{\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x} + 1\right) + \frac{1}{4} \, \log\left(\frac{{\left(x^{4} + 1\right)}^{\frac{1}{4}}}{x} - 1\right)"," ",0,"1/3*(x^4 + 1)^(3/4) - 1/2*arctan((x^4 + 1)^(1/4)) + 1/2*arctan((x^4 + 1)^(1/4)/x) + 1/4*log((x^4 + 1)^(1/4) + 1) - 1/4*log((x^4 + 1)^(1/4) - 1) - 1/4*log((x^4 + 1)^(1/4)/x + 1) + 1/4*log((x^4 + 1)^(1/4)/x - 1)","A",0
975,0,0,0,0.000000," ","integrate((x^4-x^3)^(1/4)/x^2/(x^2-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{{\left(x^{2} - 1\right)} x^{2}}\,{d x}"," ",0,"integrate((x^4 - x^3)^(1/4)/((x^2 - 1)*x^2), x)","F",0
976,0,0,0,0.000000," ","integrate((x^4-3)/(x^4+1)^(1/3)/(x^4-x^3+1),x, algorithm=""maxima"")","\int \frac{x^{4} - 3}{{\left(x^{4} - x^{3} + 1\right)} {\left(x^{4} + 1\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((x^4 - 3)/((x^4 - x^3 + 1)*(x^4 + 1)^(1/3)), x)","F",0
977,0,0,0,0.000000," ","integrate((a*x^2+b)/(x^4-a*x^2+b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{2} + b}{{\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} - a x^{2} + b\right)}}\,{d x}"," ",0,"integrate((a*x^2 + b)/((a*x^4 + b*x^2)^(1/4)*(x^4 - a*x^2 + b)), x)","F",0
978,0,0,0,0.000000," ","integrate((a*x^2+b)/(x^4-a*x^2+b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{2} + b}{{\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} - a x^{2} + b\right)}}\,{d x}"," ",0,"integrate((a*x^2 + b)/((a*x^4 + b*x^2)^(1/4)*(x^4 - a*x^2 + b)), x)","F",0
979,1,94,0,0.495053," ","integrate((2*a*x^4-b)/x^2/(a*x^4-b)^(3/4),x, algorithm=""maxima"")","\frac{1}{2} \, a {\left(\frac{2 \, \arctan\left(\frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}} x}\right)}{a^{\frac{3}{4}}} - \frac{\log\left(-\frac{a^{\frac{1}{4}} - \frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}}{a^{\frac{1}{4}} + \frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}}\right)}{a^{\frac{3}{4}}}\right)} - \frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}"," ",0,"1/2*a*(2*arctan((a*x^4 - b)^(1/4)/(a^(1/4)*x))/a^(3/4) - log(-(a^(1/4) - (a*x^4 - b)^(1/4)/x)/(a^(1/4) + (a*x^4 - b)^(1/4)/x))/a^(3/4)) - (a*x^4 - b)^(1/4)/x","A",0
980,1,54,0,0.534928," ","integrate(1/x/(x^6+1)^(1/3),x, algorithm=""maxima"")","\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{6} + 1\right)}^{\frac{1}{3}} + 1\right)}\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(1/3*sqrt(3)*(2*(x^6 + 1)^(1/3) + 1)) - 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
981,0,0,0,0.000000," ","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=""maxima"")","\int \frac{2 \, x^{6} - 9 \, x^{4} + 3}{{\left(2 \, x^{2} + 1\right)} {\left(2 \, x^{2} - 1\right)} {\left(x^{2} + 1\right)}^{2} x \sqrt{-\frac{2 \, x^{2} - 1}{2 \, x^{2} + 1}}}\,{d x}"," ",0,"integrate((2*x^6 - 9*x^4 + 3)/((2*x^2 + 1)*(2*x^2 - 1)*(x^2 + 1)^2*x*sqrt(-(2*x^2 - 1)/(2*x^2 + 1))), x)","F",0
982,0,0,0,0.000000," ","integrate((2*x^4-1)^(1/4)*(x^8-2)/x^6/(x^4-1)^2,x, algorithm=""maxima"")","\int \frac{{\left(x^{8} - 2\right)} {\left(2 \, x^{4} - 1\right)}^{\frac{1}{4}}}{{\left(x^{4} - 1\right)}^{2} x^{6}}\,{d x}"," ",0,"integrate((x^8 - 2)*(2*x^4 - 1)^(1/4)/((x^4 - 1)^2*x^6), x)","F",0
983,1,74,0,0.740134," ","integrate((a*x^2+b)^(3/4)/x^3,x, algorithm=""maxima"")","\frac{3}{8} \, a {\left(\frac{2 \, \arctan\left(\frac{{\left(a x^{2} + b\right)}^{\frac{1}{4}}}{b^{\frac{1}{4}}}\right)}{b^{\frac{1}{4}}} + \frac{\log\left(\frac{{\left(a x^{2} + b\right)}^{\frac{1}{4}} - b^{\frac{1}{4}}}{{\left(a x^{2} + b\right)}^{\frac{1}{4}} + b^{\frac{1}{4}}}\right)}{b^{\frac{1}{4}}}\right)} - \frac{{\left(a x^{2} + b\right)}^{\frac{3}{4}}}{2 \, x^{2}}"," ",0,"3/8*a*(2*arctan((a*x^2 + b)^(1/4)/b^(1/4))/b^(1/4) + log(((a*x^2 + b)^(1/4) - b^(1/4))/((a*x^2 + b)^(1/4) + b^(1/4)))/b^(1/4)) - 1/2*(a*x^2 + b)^(3/4)/x^2","A",0
984,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{k x^{2} - 2 \, {\left(k + 1\right)} x + 3}{{\left(d k x^{2} - d {\left(k + 1\right)} x - x^{3} + d\right)} \left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{1}{4}}}\,{d x}"," ",0,"-integrate((k*x^2 - 2*(k + 1)*x + 3)/((d*k*x^2 - d*(k + 1)*x - x^3 + d)*((k*x - 1)*(x - 1)*x)^(1/4)), x)","F",0
985,0,0,0,0.000000," ","integrate(1/(x^3-3*x^2+3*x-1)^(1/4)/(3*x^3+x^2-2*x-1),x, algorithm=""maxima"")","\int \frac{1}{{\left(3 \, x^{3} + x^{2} - 2 \, x - 1\right)} {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((3*x^3 + x^2 - 2*x - 1)*(x^3 - 3*x^2 + 3*x - 1)^(1/4)), x)","F",0
986,1,74,0,0.442052," ","integrate((a*x^3+b)^(3/4)/x^4,x, algorithm=""maxima"")","\frac{1}{4} \, a {\left(\frac{2 \, \arctan\left(\frac{{\left(a x^{3} + b\right)}^{\frac{1}{4}}}{b^{\frac{1}{4}}}\right)}{b^{\frac{1}{4}}} + \frac{\log\left(\frac{{\left(a x^{3} + b\right)}^{\frac{1}{4}} - b^{\frac{1}{4}}}{{\left(a x^{3} + b\right)}^{\frac{1}{4}} + b^{\frac{1}{4}}}\right)}{b^{\frac{1}{4}}}\right)} - \frac{{\left(a x^{3} + b\right)}^{\frac{3}{4}}}{3 \, x^{3}}"," ",0,"1/4*a*(2*arctan((a*x^3 + b)^(1/4)/b^(1/4))/b^(1/4) + log(((a*x^3 + b)^(1/4) - b^(1/4))/((a*x^3 + b)^(1/4) + b^(1/4)))/b^(1/4)) - 1/3*(a*x^3 + b)^(3/4)/x^3","A",0
987,0,0,0,0.000000," ","integrate((x^4+x^2)^(1/4)/x^4/(x^4-1),x, algorithm=""maxima"")","-\frac{2 \, {\left(32 \, x^{7} - 8 \, x^{5} + 5 \, x^{3} + 45 \, x\right)} {\left(x^{2} + 1\right)}^{\frac{1}{4}}}{585 \, {\left(x^{\frac{15}{2}} - x^{\frac{7}{2}}\right)}} - \int \frac{8 \, {\left(32 \, x^{6} - 8 \, x^{4} + 5 \, x^{2} + 45\right)} {\left(x^{2} + 1\right)}^{\frac{1}{4}}}{585 \, {\left(x^{\frac{23}{2}} - 2 \, x^{\frac{15}{2}} + x^{\frac{7}{2}}\right)}}\,{d x}"," ",0,"-2/585*(32*x^7 - 8*x^5 + 5*x^3 + 45*x)*(x^2 + 1)^(1/4)/(x^(15/2) - x^(7/2)) - integrate(8/585*(32*x^6 - 8*x^4 + 5*x^2 + 45)*(x^2 + 1)^(1/4)/(x^(23/2) - 2*x^(15/2) + x^(7/2)), x)","F",0
988,0,0,0,0.000000," ","integrate(x*(x^4-3)/(x^4+1)^(2/3)/(x^4+x^3+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - 3\right)} x}{{\left(x^{4} + x^{3} + 1\right)} {\left(x^{4} + 1\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((x^4 - 3)*x/((x^4 + x^3 + 1)*(x^4 + 1)^(2/3)), x)","F",0
989,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(2 \, x^{4} + 1\right)} \sqrt{-4 \, x^{4} - x^{2} + 2}}{{\left(2 \, x^{4} - x^{2} - 1\right)} {\left(2 \, x^{4} - 1\right)}}\,{d x}"," ",0,"integrate((2*x^4 + 1)*sqrt(-4*x^4 - x^2 + 2)/((2*x^4 - x^2 - 1)*(2*x^4 - 1)), x)","F",0
990,1,102,0,0.440401," ","integrate((a*x^4+b)^(3/4),x, algorithm=""maxima"")","-\frac{3}{16} \, b {\left(\frac{2 \, \arctan\left(\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}} - \frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}}{a^{\frac{1}{4}} + \frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}}\right)}{a^{\frac{1}{4}}}\right)} - \frac{{\left(a x^{4} + b\right)}^{\frac{3}{4}} b}{4 \, {\left(a - \frac{a x^{4} + b}{x^{4}}\right)} x^{3}}"," ",0,"-3/16*b*(2*arctan((a*x^4 + b)^(1/4)/(a^(1/4)*x))/a^(1/4) + log(-(a^(1/4) - (a*x^4 + b)^(1/4)/x)/(a^(1/4) + (a*x^4 + b)^(1/4)/x))/a^(1/4)) - 1/4*(a*x^4 + b)^(3/4)*b/((a - (a*x^4 + b)/x^4)*x^3)","A",0
991,1,85,0,0.439451," ","integrate((a*x^4+b)^(3/4)/x^4,x, algorithm=""maxima"")","-\frac{1}{4} \, a {\left(\frac{2 \, \arctan\left(\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}} - \frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}}{a^{\frac{1}{4}} + \frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}}\right)}{a^{\frac{1}{4}}}\right)} - \frac{{\left(a x^{4} + b\right)}^{\frac{3}{4}}}{3 \, x^{3}}"," ",0,"-1/4*a*(2*arctan((a*x^4 + b)^(1/4)/(a^(1/4)*x))/a^(1/4) + log(-(a^(1/4) - (a*x^4 + b)^(1/4)/x)/(a^(1/4) + (a*x^4 + b)^(1/4)/x))/a^(1/4)) - 1/3*(a*x^4 + b)^(3/4)/x^3","A",0
992,1,74,0,0.435872," ","integrate((a*x^5+b)^(3/4)/x^6,x, algorithm=""maxima"")","\frac{3}{20} \, a {\left(\frac{2 \, \arctan\left(\frac{{\left(a x^{5} + b\right)}^{\frac{1}{4}}}{b^{\frac{1}{4}}}\right)}{b^{\frac{1}{4}}} + \frac{\log\left(\frac{{\left(a x^{5} + b\right)}^{\frac{1}{4}} - b^{\frac{1}{4}}}{{\left(a x^{5} + b\right)}^{\frac{1}{4}} + b^{\frac{1}{4}}}\right)}{b^{\frac{1}{4}}}\right)} - \frac{{\left(a x^{5} + b\right)}^{\frac{3}{4}}}{5 \, x^{5}}"," ",0,"3/20*a*(2*arctan((a*x^5 + b)^(1/4)/b^(1/4))/b^(1/4) + log(((a*x^5 + b)^(1/4) - b^(1/4))/((a*x^5 + b)^(1/4) + b^(1/4)))/b^(1/4)) - 1/5*(a*x^5 + b)^(3/4)/x^5","A",0
993,0,0,0,0.000000," ","integrate((-3*x^5+2)/(x^5-x^2+1)/(x^6+x)^(1/3),x, algorithm=""maxima"")","-\int \frac{3 \, x^{5} - 2}{{\left(x^{6} + x\right)}^{\frac{1}{3}} {\left(x^{5} - x^{2} + 1\right)}}\,{d x}"," ",0,"-integrate((3*x^5 - 2)/((x^6 + x)^(1/3)*(x^5 - x^2 + 1)), x)","F",0
994,1,74,0,0.413807," ","integrate((a*x^6+b)^(3/4)/x^7,x, algorithm=""maxima"")","\frac{1}{8} \, a {\left(\frac{2 \, \arctan\left(\frac{{\left(a x^{6} + b\right)}^{\frac{1}{4}}}{b^{\frac{1}{4}}}\right)}{b^{\frac{1}{4}}} + \frac{\log\left(\frac{{\left(a x^{6} + b\right)}^{\frac{1}{4}} - b^{\frac{1}{4}}}{{\left(a x^{6} + b\right)}^{\frac{1}{4}} + b^{\frac{1}{4}}}\right)}{b^{\frac{1}{4}}}\right)} - \frac{{\left(a x^{6} + b\right)}^{\frac{3}{4}}}{6 \, x^{6}}"," ",0,"1/8*a*(2*arctan((a*x^6 + b)^(1/4)/b^(1/4))/b^(1/4) + log(((a*x^6 + b)^(1/4) - b^(1/4))/((a*x^6 + b)^(1/4) + b^(1/4)))/b^(1/4)) - 1/6*(a*x^6 + b)^(3/4)/x^6","A",0
995,0,0,0,0.000000," ","integrate((a*x^6+2*b)/(a*x^6-b)^(1/4)/(a*x^6-2*x^4-b),x, algorithm=""maxima"")","\int \frac{a x^{6} + 2 \, b}{{\left(a x^{6} - 2 \, x^{4} - b\right)} {\left(a x^{6} - b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((a*x^6 + 2*b)/((a*x^6 - 2*x^4 - b)*(a*x^6 - b)^(1/4)), x)","F",0
996,0,0,0,0.000000," ","integrate((x^4-1)*(x^4+1)^(1/2)/(x^8+3*x^4+1),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{4} + 1} {\left(x^{4} - 1\right)}}{x^{8} + 3 \, x^{4} + 1}\,{d x}"," ",0,"integrate(sqrt(x^4 + 1)*(x^4 - 1)/(x^8 + 3*x^4 + 1), x)","F",0
997,-2,0,0,0.000000," ","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=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(2*a*k-b>0)', see `assume?` for more details)Is 2*a*k-b positive, negative or zero?","F(-2)",0
998,1,56,0,0.417104," ","integrate(1/x/(x^4-1)^(1/3),x, algorithm=""maxima"")","\frac{1}{4} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{4} - 1\right)}^{\frac{1}{3}} - 1\right)}\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(1/3*sqrt(3)*(2*(x^4 - 1)^(1/3) - 1)) + 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
999,0,0,0,0.000000," ","integrate(x^2*(a*x^2-2*b)/(a*x^2-b)^(3/4)/(x^4-4*a*x^2+4*b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{2} - 2 \, b\right)} x^{2}}{{\left(x^{4} - 4 \, a x^{2} + 4 \, b\right)} {\left(a x^{2} - b\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((a*x^2 - 2*b)*x^2/((x^4 - 4*a*x^2 + 4*b)*(a*x^2 - b)^(3/4)), x)","F",0
1000,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{a b x - x^{3}}{{\left(a^{2} b^{2} - 2 \, {\left(a + b\right)} a b x - 2 \, {\left(a + b\right)} x^{3} + x^{4} + {\left(a^{2} + 4 \, a b + b^{2} - d\right)} x^{2}\right)} \sqrt{{\left(a - x\right)} {\left(b - x\right)} x}}\,{d x}"," ",0,"-integrate((a*b*x - x^3)/((a^2*b^2 - 2*(a + b)*a*b*x - 2*(a + b)*x^3 + x^4 + (a^2 + 4*a*b + b^2 - d)*x^2)*sqrt((a - x)*(b - x)*x)), x)","F",0
1001,0,0,0,0.000000," ","integrate((-x^4-1)^(1/4)*(x^4-1)/x^6/(2*x^4+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - 1\right)} {\left(-x^{4} - 1\right)}^{\frac{1}{4}}}{{\left(2 \, x^{4} + 1\right)} x^{6}}\,{d x}"," ",0,"integrate((x^4 - 1)*(-x^4 - 1)^(1/4)/((2*x^4 + 1)*x^6), x)","F",0
1002,0,0,0,0.000000," ","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=""maxima"")","\int \frac{a b x - x^{3}}{{\left(a^{2} b^{2} d - 2 \, {\left(a + b\right)} a b d x - 2 \, {\left(a + b\right)} d x^{3} + d x^{4} + {\left(a^{2} d + 4 \, a b d + b^{2} d - 1\right)} x^{2}\right)} \sqrt{{\left(a - x\right)} {\left(b - x\right)} x}}\,{d x}"," ",0,"integrate((a*b*x - x^3)/((a^2*b^2*d - 2*(a + b)*a*b*d*x - 2*(a + b)*d*x^3 + d*x^4 + (a^2*d + 4*a*b*d + b^2*d - 1)*x^2)*sqrt((a - x)*(b - x)*x)), x)","F",0
1003,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{a b x - x^{3}}{{\left(a^{2} b^{2} d - 2 \, {\left(a + b\right)} a b d x - 2 \, {\left(a + b\right)} d x^{3} + d x^{4} + {\left(a^{2} d + 4 \, a b d + b^{2} d - 1\right)} x^{2}\right)} \sqrt{{\left(a - x\right)} {\left(b - x\right)} x}}\,{d x}"," ",0,"-integrate((a*b*x - x^3)/((a^2*b^2*d - 2*(a + b)*a*b*d*x - 2*(a + b)*d*x^3 + d*x^4 + (a^2*d + 4*a*b*d + b^2*d - 1)*x^2)*sqrt((a - x)*(b - x)*x)), x)","F",0
1004,1,56,0,0.427264," ","integrate(1/x/(x^6-1)^(1/3),x, algorithm=""maxima"")","\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{6} - 1\right)}^{\frac{1}{3}} - 1\right)}\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(1/3*sqrt(3)*(2*(x^6 - 1)^(1/3) - 1)) + 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
1005,0,0,0,0.000000," ","integrate((x^3+1)^(2/3)*(2*x^6+x^3+2)/x^6/(x^6+x^3+1),x, algorithm=""maxima"")","\int \frac{{\left(2 \, x^{6} + x^{3} + 2\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{{\left(x^{6} + x^{3} + 1\right)} x^{6}}\,{d x}"," ",0,"integrate((2*x^6 + x^3 + 2)*(x^3 + 1)^(2/3)/((x^6 + x^3 + 1)*x^6), x)","F",0
1006,0,0,0,0.000000," ","integrate((x^3+1)^(2/3)*(2*x^6+x^3+2)/x^6/(x^6+x^3+1),x, algorithm=""maxima"")","\int \frac{{\left(2 \, x^{6} + x^{3} + 2\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{{\left(x^{6} + x^{3} + 1\right)} x^{6}}\,{d x}"," ",0,"integrate((2*x^6 + x^3 + 2)*(x^3 + 1)^(2/3)/((x^6 + x^3 + 1)*x^6), x)","F",0
1007,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{4 \, x^{4} - x^{2} + 4} {\left(x^{4} - x^{2} + 1\right)} {\left(x^{4} - 1\right)}}{{\left(4 \, x^{8} + 7 \, x^{4} + 4\right)} {\left(x^{4} + 1\right)}}\,{d x}"," ",0,"integrate(sqrt(4*x^4 - x^2 + 4)*(x^4 - x^2 + 1)*(x^4 - 1)/((4*x^8 + 7*x^4 + 4)*(x^4 + 1)), x)","F",0
1008,1,29,0,0.433286," ","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=""maxima"")","-\frac{1}{910} \, {\left(210 \, x^{4} - 7 \, x^{3} - 3 \, x^{2} + 681 \, x - 229\right)} {\left(3 \, x - 1\right)}^{\frac{1}{3}}"," ",0,"-1/910*(210*x^4 - 7*x^3 - 3*x^2 + 681*x - 229)*(3*x - 1)^(1/3)","A",0
1009,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a b - 2 \, a x + x^{2}\right)} {\left(b - x\right)} x}{\sqrt{{\left(a - x\right)} {\left(b - x\right)} x} {\left(a d - {\left(b + d\right)} x + x^{2}\right)} {\left(a - x\right)}}\,{d x}"," ",0,"integrate((a*b - 2*a*x + x^2)*(b - x)*x/(sqrt((a - x)*(b - x)*x)*(a*d - (b + d)*x + x^2)*(a - x)), x)","F",0
1010,0,0,0,0.000000," ","integrate((k^2*x^2+1)/((1-x)*x*(-k^2*x+1))^(1/2)/(k^2*x^2-1),x, algorithm=""maxima"")","\int \frac{k^{2} x^{2} + 1}{{\left(k^{2} x^{2} - 1\right)} \sqrt{{\left(k^{2} x - 1\right)} {\left(x - 1\right)} x}}\,{d x}"," ",0,"integrate((k^2*x^2 + 1)/((k^2*x^2 - 1)*sqrt((k^2*x - 1)*(x - 1)*x)), x)","F",0
1011,1,69,0,0.431705," ","integrate(1/(x^3+1)^(1/3),x, algorithm=""maxima"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x} + 1\right)}\right) + \frac{1}{6} \, \log\left(\frac{{\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x} + \frac{{\left(x^{3} + 1\right)}^{\frac{2}{3}}}{x^{2}} + 1\right) - \frac{1}{3} \, \log\left(\frac{{\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x} - 1\right)"," ",0,"-1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^3 + 1)^(1/3)/x + 1)) + 1/6*log((x^3 + 1)^(1/3)/x + (x^3 + 1)^(2/3)/x^2 + 1) - 1/3*log((x^3 + 1)^(1/3)/x - 1)","A",0
1012,0,0,0,0.000000," ","integrate((x^2+x)/(x^2-2*x-1)/(x^3-x)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} + x}{\sqrt{x^{3} - x} {\left(x^{2} - 2 \, x - 1\right)}}\,{d x}"," ",0,"integrate((x^2 + x)/(sqrt(x^3 - x)*(x^2 - 2*x - 1)), x)","F",0
1013,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(3 \, a b - 2 \, {\left(a + b\right)} x + x^{2}\right)} x^{2}}{{\left(d x^{3} - a b + {\left(a + b\right)} x - x^{2}\right)} \left({\left(a - x\right)} {\left(b - x\right)} x\right)^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((3*a*b - 2*(a + b)*x + x^2)*x^2/((d*x^3 - a*b + (a + b)*x - x^2)*((a - x)*(b - x)*x)^(3/4)), x)","F",0
1014,1,102,0,0.436042," ","integrate(1/x/(x^4-1)^(1/4),x, algorithm=""maxima"")","\frac{1}{4} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}}\right)}\right) + \frac{1}{4} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}}\right)}\right) - \frac{1}{8} \, \sqrt{2} \log\left(\sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} + \sqrt{x^{4} - 1} + 1\right) + \frac{1}{8} \, \sqrt{2} \log\left(-\sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} + \sqrt{x^{4} - 1} + 1\right)"," ",0,"1/4*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*(x^4 - 1)^(1/4))) + 1/4*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*(x^4 - 1)^(1/4))) - 1/8*sqrt(2)*log(sqrt(2)*(x^4 - 1)^(1/4) + sqrt(x^4 - 1) + 1) + 1/8*sqrt(2)*log(-sqrt(2)*(x^4 - 1)^(1/4) + sqrt(x^4 - 1) + 1)","A",0
1015,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(a b - x^{2}\right)} {\left(a - x\right)} {\left(b - x\right)}}{{\left(a^{2} b^{2} - 2 \, {\left(a + b\right)} a b x - 2 \, {\left(a + b\right)} x^{3} + x^{4} + {\left(a^{2} + 4 \, a b + b^{2} - d\right)} x^{2}\right)} \sqrt{{\left(a - x\right)} {\left(b - x\right)} x}}\,{d x}"," ",0,"-integrate((a*b - x^2)*(a - x)*(b - x)/((a^2*b^2 - 2*(a + b)*a*b*x - 2*(a + b)*x^3 + x^4 + (a^2 + 4*a*b + b^2 - d)*x^2)*sqrt((a - x)*(b - x)*x)), x)","F",0
1016,1,185,0,0.442235," ","integrate(x^2*(a*x^4-b)/(a*x^4+b)^(3/4),x, algorithm=""maxima"")","-\frac{1}{4} \, b {\left(\frac{2 \, \arctan\left(\frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}} x}\right)}{a^{\frac{3}{4}}} - \frac{\log\left(-\frac{a^{\frac{1}{4}} - \frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}}{a^{\frac{1}{4}} + \frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}}\right)}{a^{\frac{3}{4}}}\right)} - \frac{1}{16} \, a {\left(\frac{3 \, {\left(\frac{2 \, b \arctan\left(\frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}} x}\right)}{a^{\frac{3}{4}}} - \frac{b \log\left(-\frac{a^{\frac{1}{4}} - \frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}}{a^{\frac{1}{4}} + \frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}}\right)}{a^{\frac{3}{4}}}\right)}}{a} + \frac{4 \, {\left(a x^{4} + b\right)}^{\frac{1}{4}} b}{{\left(a^{2} - \frac{{\left(a x^{4} + b\right)} a}{x^{4}}\right)} x}\right)}"," ",0,"-1/4*b*(2*arctan((a*x^4 + b)^(1/4)/(a^(1/4)*x))/a^(3/4) - log(-(a^(1/4) - (a*x^4 + b)^(1/4)/x)/(a^(1/4) + (a*x^4 + b)^(1/4)/x))/a^(3/4)) - 1/16*a*(3*(2*b*arctan((a*x^4 + b)^(1/4)/(a^(1/4)*x))/a^(3/4) - b*log(-(a^(1/4) - (a*x^4 + b)^(1/4)/x)/(a^(1/4) + (a*x^4 + b)^(1/4)/x))/a^(3/4))/a + 4*(a*x^4 + b)^(1/4)*b/((a^2 - (a*x^4 + b)*a/x^4)*x))","B",0
1017,0,0,0,0.000000," ","integrate(1/(a*x^4+b*x)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(a x^{4} + b x\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((a*x^4 + b*x)^(-1/4), x)","F",0
1018,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(a b - x^{2}\right)} {\left(a - x\right)} {\left(b - x\right)}}{{\left(a^{2} b^{2} d - 2 \, {\left(a + b\right)} a b d x - 2 \, {\left(a + b\right)} d x^{3} + d x^{4} + {\left(a^{2} d + 4 \, a b d + b^{2} d - 1\right)} x^{2}\right)} \sqrt{{\left(a - x\right)} {\left(b - x\right)} x}}\,{d x}"," ",0,"-integrate((a*b - x^2)*(a - x)*(b - x)/((a^2*b^2*d - 2*(a + b)*a*b*d*x - 2*(a + b)*d*x^3 + d*x^4 + (a^2*d + 4*a*b*d + b^2*d - 1)*x^2)*sqrt((a - x)*(b - x)*x)), x)","F",0
1019,1,102,0,0.433033," ","integrate(1/x/(x^6-1)^(1/4),x, algorithm=""maxima"")","\frac{1}{6} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, {\left(x^{6} - 1\right)}^{\frac{1}{4}}\right)}\right) + \frac{1}{6} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, {\left(x^{6} - 1\right)}^{\frac{1}{4}}\right)}\right) - \frac{1}{12} \, \sqrt{2} \log\left(\sqrt{2} {\left(x^{6} - 1\right)}^{\frac{1}{4}} + \sqrt{x^{6} - 1} + 1\right) + \frac{1}{12} \, \sqrt{2} \log\left(-\sqrt{2} {\left(x^{6} - 1\right)}^{\frac{1}{4}} + \sqrt{x^{6} - 1} + 1\right)"," ",0,"1/6*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*(x^6 - 1)^(1/4))) + 1/6*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*(x^6 - 1)^(1/4))) - 1/12*sqrt(2)*log(sqrt(2)*(x^6 - 1)^(1/4) + sqrt(x^6 - 1) + 1) + 1/12*sqrt(2)*log(-sqrt(2)*(x^6 - 1)^(1/4) + sqrt(x^6 - 1) + 1)","A",0
1020,0,0,0,0.000000," ","integrate(1/(a*x^3-b*x)^(1/3)/(c*x^6+d),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{6} + d\right)} {\left(a x^{3} - b x\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((c*x^6 + d)*(a*x^3 - b*x)^(1/3)), x)","F",0
1021,0,0,0,0.000000," ","integrate(1/(a*x^3-b*x)^(1/3)/(c*x^6+d),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{6} + d\right)} {\left(a x^{3} - b x\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((c*x^6 + d)*(a*x^3 - b*x)^(1/3)), x)","F",0
1022,0,0,0,0.000000," ","integrate((x^2-1)*(-1+x*(-x^4+3*x^2-1)^(1/2)),x, algorithm=""maxima"")","-\frac{1}{3} \, x^{3} + x + \int {\left(x^{3} - x\right)} \sqrt{x^{2} + x - 1} \sqrt{-x^{2} + x + 1}\,{d x}"," ",0,"-1/3*x^3 + x + integrate((x^3 - x)*sqrt(x^2 + x - 1)*sqrt(-x^2 + x + 1), x)","F",0
1023,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{{\left(x^{2} + 1\right)} \sqrt{x + \sqrt{x^{2} + 1}}}\,{d x}"," ",0,"integrate(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/((x^2 + 1)*sqrt(x + sqrt(x^2 + 1))), x)","F",0
1024,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{{\left(x^{2} + 1\right)} \sqrt{x + \sqrt{x^{2} + 1}}}\,{d x}"," ",0,"integrate(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/((x^2 + 1)*sqrt(x + sqrt(x^2 + 1))), x)","F",0
1025,0,0,0,0.000000," ","integrate((c+(a*x+(a^2*x^2+b)^(1/2))^(1/2))^(1/2)/(a^2*x^2+b)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}}}{\sqrt{a^{2} x^{2} + b}}\,{d x}"," ",0,"integrate(sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b)))/sqrt(a^2*x^2 + b), x)","F",0
1026,1,53,0,0.439770," ","integrate((x^2-1)^(1/2)/(-I+x)^2,x, algorithm=""maxima"")","\frac{1}{2} i \, \sqrt{2} \arcsin\left(\frac{i \, x}{{\left| x - i \right|}} - \frac{1}{{\left| x - i \right|}}\right) - \frac{\sqrt{x^{2} - 1}}{x - i} + \log\left(2 \, x + 2 \, \sqrt{x^{2} - 1}\right)"," ",0,"1/2*I*sqrt(2)*arcsin(I*x/abs(x - I) - 1/abs(x - I)) - sqrt(x^2 - 1)/(x - I) + log(2*x + 2*sqrt(x^2 - 1))","A",0
1027,1,94,0,0.420847," ","integrate(1/x^3/(a*x^2+b)^(3/4),x, algorithm=""maxima"")","-\frac{{\left(a x^{2} + b\right)}^{\frac{1}{4}} a}{2 \, {\left({\left(a x^{2} + b\right)} b - b^{2}\right)}} + \frac{3 \, {\left(\frac{2 \, a \arctan\left(\frac{{\left(a x^{2} + b\right)}^{\frac{1}{4}}}{b^{\frac{1}{4}}}\right)}{b^{\frac{3}{4}}} - \frac{a \log\left(\frac{{\left(a x^{2} + b\right)}^{\frac{1}{4}} - b^{\frac{1}{4}}}{{\left(a x^{2} + b\right)}^{\frac{1}{4}} + b^{\frac{1}{4}}}\right)}{b^{\frac{3}{4}}}\right)}}{8 \, b}"," ",0,"-1/2*(a*x^2 + b)^(1/4)*a/((a*x^2 + b)*b - b^2) + 3/8*(2*a*arctan((a*x^2 + b)^(1/4)/b^(1/4))/b^(3/4) - a*log(((a*x^2 + b)^(1/4) - b^(1/4))/((a*x^2 + b)^(1/4) + b^(1/4)))/b^(3/4))/b","A",0
1028,1,540,0,0.358071," ","integrate((3*x^3+x^2-2*x-1)^4/(x^3-3*x^2+3*x-1)^(1/4),x, algorithm=""maxima"")","\frac{108 \, {\left(729183975 \, x^{13} + 48612265 \, x^{12} + 56911920 \, x^{11} + 67679040 \, x^{10} + 82035200 \, x^{9} + 101836800 \, x^{8} + 130351104 \, x^{7} + 173801472 \, x^{6} + 245366784 \, x^{5} + 377487360 \, x^{4} + 671088640 \, x^{3} + 1610612736 \, x^{2} + 12884901888 \, x - 17179869184\right)}}{11910004925 \, {\left(x - 1\right)}^{\frac{3}{4}}} + \frac{48 \, {\left(48612265 \, x^{12} + 3556995 \, x^{11} + 4229940 \, x^{10} + 5127200 \, x^{9} + 6364800 \, x^{8} + 8146944 \, x^{7} + 10862592 \, x^{6} + 15335424 \, x^{5} + 23592960 \, x^{4} + 41943040 \, x^{3} + 100663296 \, x^{2} + 805306368 \, x - 1073741824\right)}}{243061325 \, {\left(x - 1\right)}^{\frac{3}{4}}} - \frac{648 \, {\left(13042315 \, x^{11} + 1057485 \, x^{10} + 1281800 \, x^{9} + 1591200 \, x^{8} + 2036736 \, x^{7} + 2715648 \, x^{6} + 3833856 \, x^{5} + 5898240 \, x^{4} + 10485760 \, x^{3} + 25165824 \, x^{2} + 201326592 \, x - 268435456\right)}}{534734915 \, {\left(x - 1\right)}^{\frac{3}{4}}} - \frac{96 \, {\left(1762475 \, x^{10} + 160225 \, x^{9} + 198900 \, x^{8} + 254592 \, x^{7} + 339456 \, x^{6} + 479232 \, x^{5} + 737280 \, x^{4} + 1310720 \, x^{3} + 3145728 \, x^{2} + 25165824 \, x - 33554432\right)}}{5016275 \, {\left(x - 1\right)}^{\frac{3}{4}}} + \frac{148 \, {\left(480675 \, x^{9} + 49725 \, x^{8} + 63648 \, x^{7} + 84864 \, x^{6} + 119808 \, x^{5} + 184320 \, x^{4} + 327680 \, x^{3} + 786432 \, x^{2} + 6291456 \, x - 8388608\right)}}{15862275 \, {\left(x - 1\right)}^{\frac{3}{4}}} + \frac{1264 \, {\left(16575 \, x^{8} + 1989 \, x^{7} + 2652 \, x^{6} + 3744 \, x^{5} + 5760 \, x^{4} + 10240 \, x^{3} + 24576 \, x^{2} + 196608 \, x - 262144\right)}}{480675 \, {\left(x - 1\right)}^{\frac{3}{4}}} + \frac{488 \, {\left(4641 \, x^{7} + 663 \, x^{6} + 936 \, x^{5} + 1440 \, x^{4} + 2560 \, x^{3} + 6144 \, x^{2} + 49152 \, x - 65536\right)}}{116025 \, {\left(x - 1\right)}^{\frac{3}{4}}} - \frac{464 \, {\left(663 \, x^{6} + 117 \, x^{5} + 180 \, x^{4} + 320 \, x^{3} + 768 \, x^{2} + 6144 \, x - 8192\right)}}{13923 \, {\left(x - 1\right)}^{\frac{3}{4}}} - \frac{392 \, {\left(195 \, x^{5} + 45 \, x^{4} + 80 \, x^{3} + 192 \, x^{2} + 1536 \, x - 2048\right)}}{3315 \, {\left(x - 1\right)}^{\frac{3}{4}}} - \frac{16 \, {\left(15 \, x^{4} + 5 \, x^{3} + 12 \, x^{2} + 96 \, x - 128\right)}}{195 \, {\left(x - 1\right)}^{\frac{3}{4}}} + \frac{16 \, {\left(5 \, x^{3} + 3 \, x^{2} + 24 \, x - 32\right)}}{9 \, {\left(x - 1\right)}^{\frac{3}{4}}} + \frac{32 \, {\left(x^{2} + 3 \, x - 4\right)}}{5 \, {\left(x - 1\right)}^{\frac{3}{4}}} + 4 \, {\left(x - 1\right)}^{\frac{1}{4}}"," ",0,"108/11910004925*(729183975*x^13 + 48612265*x^12 + 56911920*x^11 + 67679040*x^10 + 82035200*x^9 + 101836800*x^8 + 130351104*x^7 + 173801472*x^6 + 245366784*x^5 + 377487360*x^4 + 671088640*x^3 + 1610612736*x^2 + 12884901888*x - 17179869184)/(x - 1)^(3/4) + 48/243061325*(48612265*x^12 + 3556995*x^11 + 4229940*x^10 + 5127200*x^9 + 6364800*x^8 + 8146944*x^7 + 10862592*x^6 + 15335424*x^5 + 23592960*x^4 + 41943040*x^3 + 100663296*x^2 + 805306368*x - 1073741824)/(x - 1)^(3/4) - 648/534734915*(13042315*x^11 + 1057485*x^10 + 1281800*x^9 + 1591200*x^8 + 2036736*x^7 + 2715648*x^6 + 3833856*x^5 + 5898240*x^4 + 10485760*x^3 + 25165824*x^2 + 201326592*x - 268435456)/(x - 1)^(3/4) - 96/5016275*(1762475*x^10 + 160225*x^9 + 198900*x^8 + 254592*x^7 + 339456*x^6 + 479232*x^5 + 737280*x^4 + 1310720*x^3 + 3145728*x^2 + 25165824*x - 33554432)/(x - 1)^(3/4) + 148/15862275*(480675*x^9 + 49725*x^8 + 63648*x^7 + 84864*x^6 + 119808*x^5 + 184320*x^4 + 327680*x^3 + 786432*x^2 + 6291456*x - 8388608)/(x - 1)^(3/4) + 1264/480675*(16575*x^8 + 1989*x^7 + 2652*x^6 + 3744*x^5 + 5760*x^4 + 10240*x^3 + 24576*x^2 + 196608*x - 262144)/(x - 1)^(3/4) + 488/116025*(4641*x^7 + 663*x^6 + 936*x^5 + 1440*x^4 + 2560*x^3 + 6144*x^2 + 49152*x - 65536)/(x - 1)^(3/4) - 464/13923*(663*x^6 + 117*x^5 + 180*x^4 + 320*x^3 + 768*x^2 + 6144*x - 8192)/(x - 1)^(3/4) - 392/3315*(195*x^5 + 45*x^4 + 80*x^3 + 192*x^2 + 1536*x - 2048)/(x - 1)^(3/4) - 16/195*(15*x^4 + 5*x^3 + 12*x^2 + 96*x - 128)/(x - 1)^(3/4) + 16/9*(5*x^3 + 3*x^2 + 24*x - 32)/(x - 1)^(3/4) + 32/5*(x^2 + 3*x - 4)/(x - 1)^(3/4) + 4*(x - 1)^(1/4)","B",0
1029,1,94,0,0.425985," ","integrate(1/x^4/(a*x^3+b)^(3/4),x, algorithm=""maxima"")","-\frac{{\left(a x^{3} + b\right)}^{\frac{1}{4}} a}{3 \, {\left({\left(a x^{3} + b\right)} b - b^{2}\right)}} + \frac{\frac{2 \, a \arctan\left(\frac{{\left(a x^{3} + b\right)}^{\frac{1}{4}}}{b^{\frac{1}{4}}}\right)}{b^{\frac{3}{4}}} - \frac{a \log\left(\frac{{\left(a x^{3} + b\right)}^{\frac{1}{4}} - b^{\frac{1}{4}}}{{\left(a x^{3} + b\right)}^{\frac{1}{4}} + b^{\frac{1}{4}}}\right)}{b^{\frac{3}{4}}}}{4 \, b}"," ",0,"-1/3*(a*x^3 + b)^(1/4)*a/((a*x^3 + b)*b - b^2) + 1/4*(2*a*arctan((a*x^3 + b)^(1/4)/b^(1/4))/b^(3/4) - a*log(((a*x^3 + b)^(1/4) - b^(1/4))/((a*x^3 + b)^(1/4) + b^(1/4)))/b^(3/4))/b","A",0
1030,0,0,0,0.000000," ","integrate(x/(x^4+10*x^2-96*x-71)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{x^{4} + 10 \, x^{2} - 96 \, x - 71}}\,{d x}"," ",0,"integrate(x/sqrt(x^4 + 10*x^2 - 96*x - 71), x)","F",0
1031,0,0,0,0.000000," ","integrate((8+3*x)*(2*x^4-x-2)^(1/4)/x^2/(x^4+x+2),x, algorithm=""maxima"")","\int \frac{{\left(2 \, x^{4} - x - 2\right)}^{\frac{1}{4}} {\left(3 \, x + 8\right)}}{{\left(x^{4} + x + 2\right)} x^{2}}\,{d x}"," ",0,"integrate((2*x^4 - x - 2)^(1/4)*(3*x + 8)/((x^4 + x + 2)*x^2), x)","F",0
1032,1,94,0,0.431154," ","integrate(1/x^5/(a*x^4+b)^(3/4),x, algorithm=""maxima"")","-\frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}} a}{4 \, {\left({\left(a x^{4} + b\right)} b - b^{2}\right)}} + \frac{3 \, {\left(\frac{2 \, a \arctan\left(\frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{b^{\frac{1}{4}}}\right)}{b^{\frac{3}{4}}} - \frac{a \log\left(\frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}} - b^{\frac{1}{4}}}{{\left(a x^{4} + b\right)}^{\frac{1}{4}} + b^{\frac{1}{4}}}\right)}{b^{\frac{3}{4}}}\right)}}{16 \, b}"," ",0,"-1/4*(a*x^4 + b)^(1/4)*a/((a*x^4 + b)*b - b^2) + 3/16*(2*a*arctan((a*x^4 + b)^(1/4)/b^(1/4))/b^(3/4) - a*log(((a*x^4 + b)^(1/4) - b^(1/4))/((a*x^4 + b)^(1/4) + b^(1/4)))/b^(3/4))/b","A",0
1033,1,94,0,0.431451," ","integrate(1/x^6/(a*x^5+b)^(3/4),x, algorithm=""maxima"")","-\frac{{\left(a x^{5} + b\right)}^{\frac{1}{4}} a}{5 \, {\left({\left(a x^{5} + b\right)} b - b^{2}\right)}} + \frac{3 \, {\left(\frac{2 \, a \arctan\left(\frac{{\left(a x^{5} + b\right)}^{\frac{1}{4}}}{b^{\frac{1}{4}}}\right)}{b^{\frac{3}{4}}} - \frac{a \log\left(\frac{{\left(a x^{5} + b\right)}^{\frac{1}{4}} - b^{\frac{1}{4}}}{{\left(a x^{5} + b\right)}^{\frac{1}{4}} + b^{\frac{1}{4}}}\right)}{b^{\frac{3}{4}}}\right)}}{20 \, b}"," ",0,"-1/5*(a*x^5 + b)^(1/4)*a/((a*x^5 + b)*b - b^2) + 3/20*(2*a*arctan((a*x^5 + b)^(1/4)/b^(1/4))/b^(3/4) - a*log(((a*x^5 + b)^(1/4) - b^(1/4))/((a*x^5 + b)^(1/4) + b^(1/4)))/b^(3/4))/b","A",0
1034,0,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(x^6-2*x^3+1)/x^6/(x^6-x^3+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} - 2 \, x^{3} + 1\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{{\left(x^{6} - x^{3} + 1\right)} x^{6}}\,{d x}"," ",0,"integrate((x^6 - 2*x^3 + 1)*(x^3 - 1)^(2/3)/((x^6 - x^3 + 1)*x^6), x)","F",0
1035,0,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(x^6-2*x^3+1)/x^6/(x^6-x^3+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} - 2 \, x^{3} + 1\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{{\left(x^{6} - x^{3} + 1\right)} x^{6}}\,{d x}"," ",0,"integrate((x^6 - 2*x^3 + 1)*(x^3 - 1)^(2/3)/((x^6 - x^3 + 1)*x^6), x)","F",0
1036,1,94,0,0.434998," ","integrate(1/x^7/(a*x^6+b)^(3/4),x, algorithm=""maxima"")","-\frac{{\left(a x^{6} + b\right)}^{\frac{1}{4}} a}{6 \, {\left({\left(a x^{6} + b\right)} b - b^{2}\right)}} + \frac{\frac{2 \, a \arctan\left(\frac{{\left(a x^{6} + b\right)}^{\frac{1}{4}}}{b^{\frac{1}{4}}}\right)}{b^{\frac{3}{4}}} - \frac{a \log\left(\frac{{\left(a x^{6} + b\right)}^{\frac{1}{4}} - b^{\frac{1}{4}}}{{\left(a x^{6} + b\right)}^{\frac{1}{4}} + b^{\frac{1}{4}}}\right)}{b^{\frac{3}{4}}}}{8 \, b}"," ",0,"-1/6*(a*x^6 + b)^(1/4)*a/((a*x^6 + b)*b - b^2) + 1/8*(2*a*arctan((a*x^6 + b)^(1/4)/b^(1/4))/b^(3/4) - a*log(((a*x^6 + b)^(1/4) - b^(1/4))/((a*x^6 + b)^(1/4) + b^(1/4)))/b^(3/4))/b","A",0
1037,0,0,0,0.000000," ","integrate((x^4-1)^(1/4)*(x^8-1)/x^6/(x^8+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{8} - 1\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{{\left(x^{8} + 1\right)} x^{6}}\,{d x}"," ",0,"integrate((x^8 - 1)*(x^4 - 1)^(1/4)/((x^8 + 1)*x^6), x)","F",0
1038,0,0,0,0.000000," ","integrate((x^8-1)/(x^4+1)^(1/4)/(x^8+1),x, algorithm=""maxima"")","\int \frac{x^{8} - 1}{{\left(x^{8} + 1\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((x^8 - 1)/((x^8 + 1)*(x^4 + 1)^(1/4)), x)","F",0
1039,0,0,0,0.000000," ","integrate((x^8-1)/(x^4+1)^(1/4)/(x^8+1),x, algorithm=""maxima"")","\int \frac{x^{8} - 1}{{\left(x^{8} + 1\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((x^8 - 1)/((x^8 + 1)*(x^4 + 1)^(1/4)), x)","F",0
1040,0,0,0,0.000000," ","integrate((x^4-1)^(1/4)*(x^8-x^4+1)/x^6/(2*x^8+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{8} - x^{4} + 1\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{{\left(2 \, x^{8} + 1\right)} x^{6}}\,{d x}"," ",0,"integrate((x^8 - x^4 + 1)*(x^4 - 1)^(1/4)/((2*x^8 + 1)*x^6), x)","F",0
1041,0,0,0,0.000000," ","integrate((x^4-1)^(1/4)*(x^8-x^4+1)/x^6/(2*x^8+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{8} - x^{4} + 1\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{{\left(2 \, x^{8} + 1\right)} x^{6}}\,{d x}"," ",0,"integrate((x^8 - x^4 + 1)*(x^4 - 1)^(1/4)/((2*x^8 + 1)*x^6), x)","F",0
1042,1,114,0,0.432289," ","integrate((2*x^4+1)*(2*x^8+1)^(1/2)/x,x, algorithm=""maxima"")","-\frac{1}{16} \, \sqrt{2} \log\left(-\frac{\sqrt{2} - \frac{\sqrt{2 \, x^{8} + 1}}{x^{4}}}{\sqrt{2} + \frac{\sqrt{2 \, x^{8} + 1}}{x^{4}}}\right) + \frac{1}{4} \, \sqrt{2 \, x^{8} + 1} + \frac{\sqrt{2 \, x^{8} + 1}}{4 \, x^{4} {\left(\frac{2 \, x^{8} + 1}{x^{8}} - 2\right)}} - \frac{1}{8} \, \log\left(\sqrt{2 \, x^{8} + 1} + 1\right) + \frac{1}{8} \, \log\left(\sqrt{2 \, x^{8} + 1} - 1\right)"," ",0,"-1/16*sqrt(2)*log(-(sqrt(2) - sqrt(2*x^8 + 1)/x^4)/(sqrt(2) + sqrt(2*x^8 + 1)/x^4)) + 1/4*sqrt(2*x^8 + 1) + 1/4*sqrt(2*x^8 + 1)/(x^4*((2*x^8 + 1)/x^8 - 2)) - 1/8*log(sqrt(2*x^8 + 1) + 1) + 1/8*log(sqrt(2*x^8 + 1) - 1)","A",0
1043,0,0,0,0.000000," ","integrate((x+(1+x)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{x + \sqrt{x + 1}}\,{d x}"," ",0,"integrate(sqrt(x + sqrt(x + 1)), x)","F",0
1044,1,92,0,0.419312," ","integrate((a*x^2+2*b)/x/(a^2*x^2+b^2)^(3/4),x, algorithm=""maxima"")","-b {\left(\frac{2 \, \arctan\left(\frac{{\left(a^{2} x^{2} + b^{2}\right)}^{\frac{1}{4}}}{\sqrt{b}}\right)}{b^{\frac{3}{2}}} - \frac{\log\left(-\frac{\sqrt{b} - {\left(a^{2} x^{2} + b^{2}\right)}^{\frac{1}{4}}}{\sqrt{b} + {\left(a^{2} x^{2} + b^{2}\right)}^{\frac{1}{4}}}\right)}{b^{\frac{3}{2}}}\right)} + \frac{2 \, {\left(a^{2} x^{2} + b^{2}\right)}^{\frac{1}{4}}}{a}"," ",0,"-b*(2*arctan((a^2*x^2 + b^2)^(1/4)/sqrt(b))/b^(3/2) - log(-(sqrt(b) - (a^2*x^2 + b^2)^(1/4))/(sqrt(b) + (a^2*x^2 + b^2)^(1/4)))/b^(3/2)) + 2*(a^2*x^2 + b^2)^(1/4)/a","A",0
1045,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{a b x - x^{3}}{{\left(a b d + d x^{2} - {\left(a d + b d + 1\right)} x\right)} \sqrt{{\left(a - x\right)} {\left(b - x\right)} x} {\left(a - x\right)} {\left(b - x\right)}}\,{d x}"," ",0,"-integrate((a*b*x - x^3)/((a*b*d + d*x^2 - (a*d + b*d + 1)*x)*sqrt((a - x)*(b - x)*x)*(a - x)*(b - x)), x)","F",0
1046,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{k x^{2} + 2 \, {\left(k - 1\right)} x - 1}{\left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{1}{4}} {\left({\left(d k + 3\right)} x^{2} - x^{3} - {\left(d + 3\right)} x + 1\right)}}\,{d x}"," ",0,"-integrate((k*x^2 + 2*(k - 1)*x - 1)/(((k*x - 1)*(x - 1)*x)^(1/4)*((d*k + 3)*x^2 - x^3 - (d + 3)*x + 1)), x)","F",0
1047,0,0,0,0.000000," ","integrate((x^4+1)/(x^3-x)^(1/2)/(x^4-1),x, algorithm=""maxima"")","\int \frac{x^{4} + 1}{{\left(x^{4} - 1\right)} \sqrt{x^{3} - x}}\,{d x}"," ",0,"integrate((x^4 + 1)/((x^4 - 1)*sqrt(x^3 - x)), x)","F",0
1048,0,0,0,0.000000," ","integrate((x^2+2)*(x^4-5*x^2+4)^(1/2)/x^2/(x^2+2*x-2),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{4} - 5 \, x^{2} + 4} {\left(x^{2} + 2\right)}}{{\left(x^{2} + 2 \, x - 2\right)} x^{2}}\,{d x}"," ",0,"integrate(sqrt(x^4 - 5*x^2 + 4)*(x^2 + 2)/((x^2 + 2*x - 2)*x^2), x)","F",0
1049,0,0,0,0.000000," ","integrate(x^2/(x^4-1)/(x^4+x^2)^(1/4),x, algorithm=""maxima"")","-\frac{2 \, {\left(x^{3} + x\right)} x^{\frac{3}{2}}}{3 \, {\left(x^{4} - 1\right)} {\left(x^{2} + 1\right)}^{\frac{1}{4}}} - \int \frac{8 \, {\left(x^{2} + 1\right)}^{\frac{3}{4}} x^{\frac{3}{2}}}{3 \, {\left(x^{8} - 2 \, x^{4} + 1\right)}}\,{d x}"," ",0,"-2/3*(x^3 + x)*x^(3/2)/((x^4 - 1)*(x^2 + 1)^(1/4)) - integrate(8/3*(x^2 + 1)^(3/4)*x^(3/2)/(x^8 - 2*x^4 + 1), x)","F",0
1050,0,0,0,0.000000," ","integrate((x^6-2)*(x^6-1)^(1/2)/x^4/(x^6+2),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{6} - 1} {\left(x^{6} - 2\right)}}{{\left(x^{6} + 2\right)} x^{4}}\,{d x}"," ",0,"integrate(sqrt(x^6 - 1)*(x^6 - 2)/((x^6 + 2)*x^4), x)","F",0
1051,0,0,0,0.000000," ","integrate((x^6-4)*(x^6-x^4+2)^(5/2)/x^7/(x^6+2)^2,x, algorithm=""maxima"")","\int \frac{{\left(x^{6} - x^{4} + 2\right)}^{\frac{5}{2}} {\left(x^{6} - 4\right)}}{{\left(x^{6} + 2\right)}^{2} x^{7}}\,{d x}"," ",0,"integrate((x^6 - x^4 + 2)^(5/2)*(x^6 - 4)/((x^6 + 2)^2*x^7), x)","F",0
1052,0,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(x^3+2)/x^6/(2*x^6+x^3+2),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} + 2\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{{\left(2 \, x^{6} + x^{3} + 2\right)} x^{6}}\,{d x}"," ",0,"integrate((x^3 + 2)*(x^3 - 1)^(2/3)/((2*x^6 + x^3 + 2)*x^6), x)","F",0
1053,0,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(x^3+2)/x^6/(2*x^6+x^3+2),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} + 2\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{{\left(2 \, x^{6} + x^{3} + 2\right)} x^{6}}\,{d x}"," ",0,"integrate((x^3 + 2)*(x^3 - 1)^(2/3)/((2*x^6 + x^3 + 2)*x^6), x)","F",0
1054,0,0,0,0.000000," ","integrate((x^7+x)/(x^6-1)^(2/3)/(x^6+x^3-1),x, algorithm=""maxima"")","\int \frac{x^{7} + x}{{\left(x^{6} + x^{3} - 1\right)} {\left(x^{6} - 1\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((x^7 + x)/((x^6 + x^3 - 1)*(x^6 - 1)^(2/3)), x)","F",0
1055,0,0,0,0.000000," ","integrate((-x^6+1)^(1/2)*(2*x^6+1)/(x^12-2*x^6+x^4+1),x, algorithm=""maxima"")","\int \frac{{\left(2 \, x^{6} + 1\right)} \sqrt{-x^{6} + 1}}{x^{12} - 2 \, x^{6} + x^{4} + 1}\,{d x}"," ",0,"integrate((2*x^6 + 1)*sqrt(-x^6 + 1)/(x^12 - 2*x^6 + x^4 + 1), x)","F",0
1056,0,0,0,0.000000," ","integrate((x^2+1)^(1/2)/(1+(x^2+1)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{2} + 1}}{\sqrt{\sqrt{x^{2} + 1} + 1}}\,{d x}"," ",0,"integrate(sqrt(x^2 + 1)/sqrt(sqrt(x^2 + 1) + 1), x)","F",0
1057,0,0,0,0.000000," ","integrate((x^2+1)/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} + 1}{\sqrt{x + \sqrt{x^{2} + 1}}}\,{d x}"," ",0,"integrate((x^2 + 1)/sqrt(x + sqrt(x^2 + 1)), x)","F",0
1058,0,0,0,0.000000," ","integrate(x^2/(x^2+(x^4+1)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{\sqrt{x^{2} + \sqrt{x^{4} + 1}}}\,{d x}"," ",0,"integrate(x^2/sqrt(x^2 + sqrt(x^4 + 1)), x)","F",0
1059,0,0,0,0.000000," ","integrate((x^4+1)^(1/2)/(x^2+(x^4+1)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{4} + 1}}{\sqrt{x^{2} + \sqrt{x^{4} + 1}}}\,{d x}"," ",0,"integrate(sqrt(x^4 + 1)/sqrt(x^2 + sqrt(x^4 + 1)), x)","F",0
1060,0,0,0,0.000000," ","integrate((x^2-3)/(x^2-1)^(1/3)/(x^3+x^2-1),x, algorithm=""maxima"")","\int \frac{x^{2} - 3}{{\left(x^{3} + x^{2} - 1\right)} {\left(x^{2} - 1\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((x^2 - 3)/((x^3 + x^2 - 1)*(x^2 - 1)^(1/3)), x)","F",0
1061,0,0,0,0.000000," ","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=""maxima"")","\int \frac{a^{2} b - {\left(2 \, a + b\right)} a x + 3 \, a x^{2} - x^{3}}{\sqrt{{\left(a - x\right)} {\left(b - x\right)} x} {\left(d x^{2} - {\left(b d + 1\right)} x + a\right)} {\left(b - x\right)} x}\,{d x}"," ",0,"integrate((a^2*b - (2*a + b)*a*x + 3*a*x^2 - x^3)/(sqrt((a - x)*(b - x)*x)*(d*x^2 - (b*d + 1)*x + a)*(b - x)*x), x)","F",0
1062,0,0,0,0.000000," ","integrate(1/(a^3*x^3+b)/(a^3*x^3-b*x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} x^{3} + b\right)}}\,{d x}"," ",0,"integrate(1/((a^3*x^3 - b*x^2)^(1/3)*(a^3*x^3 + b)), x)","F",0
1063,0,0,0,0.000000," ","integrate(1/(a^3*x^3+b)/(a^3*x^3-b*x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} x^{3} + b\right)}}\,{d x}"," ",0,"integrate(1/((a^3*x^3 - b*x^2)^(1/3)*(a^3*x^3 + b)), x)","F",0
1064,0,0,0,0.000000," ","integrate(x^2*(x^3-4)/(x^3-1)^(3/4)/(x^4+x^3-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} - 4\right)} x^{2}}{{\left(x^{4} + x^{3} - 1\right)} {\left(x^{3} - 1\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((x^3 - 4)*x^2/((x^4 + x^3 - 1)*(x^3 - 1)^(3/4)), x)","F",0
1065,1,110,0,0.418688," ","integrate(x^6/(a*x^4+b)^(3/4),x, algorithm=""maxima"")","-\frac{3 \, {\left(\frac{2 \, b \arctan\left(\frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}} x}\right)}{a^{\frac{3}{4}}} - \frac{b \log\left(-\frac{a^{\frac{1}{4}} - \frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}}{a^{\frac{1}{4}} + \frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}}\right)}{a^{\frac{3}{4}}}\right)}}{16 \, a} - \frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}} b}{4 \, {\left(a^{2} - \frac{{\left(a x^{4} + b\right)} a}{x^{4}}\right)} x}"," ",0,"-3/16*(2*b*arctan((a*x^4 + b)^(1/4)/(a^(1/4)*x))/a^(3/4) - b*log(-(a^(1/4) - (a*x^4 + b)^(1/4)/x)/(a^(1/4) + (a*x^4 + b)^(1/4)/x))/a^(3/4))/a - 1/4*(a*x^4 + b)^(1/4)*b/((a^2 - (a*x^4 + b)*a/x^4)*x)","A",0
1066,0,0,0,0.000000," ","integrate((a*x^4+b*x^2)^(1/4)/x^2,x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}}}{x^{2}}\,{d x}"," ",0,"integrate((a*x^4 + b*x^2)^(1/4)/x^2, x)","F",0
1067,0,0,0,0.000000," ","integrate((x^4+2)^(1/4)*(x^8-4)/x^6/(x^8-2*x^4-4),x, algorithm=""maxima"")","\int \frac{{\left(x^{8} - 4\right)} {\left(x^{4} + 2\right)}^{\frac{1}{4}}}{{\left(x^{8} - 2 \, x^{4} - 4\right)} x^{6}}\,{d x}"," ",0,"integrate((x^8 - 4)*(x^4 + 2)^(1/4)/((x^8 - 2*x^4 - 4)*x^6), x)","F",0
1068,0,0,0,0.000000," ","integrate((x^4+2)^(1/4)*(x^8-4)/x^6/(x^8-2*x^4-4),x, algorithm=""maxima"")","\int \frac{{\left(x^{8} - 4\right)} {\left(x^{4} + 2\right)}^{\frac{1}{4}}}{{\left(x^{8} - 2 \, x^{4} - 4\right)} x^{6}}\,{d x}"," ",0,"integrate((x^8 - 4)*(x^4 + 2)^(1/4)/((x^8 - 2*x^4 - 4)*x^6), x)","F",0
1069,0,0,0,0.000000," ","integrate((x^4-1)^(1/4)*(2*x^8+x^4-1)/x^6/(x^8-x^4+1),x, algorithm=""maxima"")","\int \frac{{\left(2 \, x^{8} + x^{4} - 1\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{{\left(x^{8} - x^{4} + 1\right)} x^{6}}\,{d x}"," ",0,"integrate((2*x^8 + x^4 - 1)*(x^4 - 1)^(1/4)/((x^8 - x^4 + 1)*x^6), x)","F",0
1070,0,0,0,0.000000," ","integrate((x^4-1)^(1/4)*(2*x^8+x^4-1)/x^6/(x^8-x^4+1),x, algorithm=""maxima"")","\int \frac{{\left(2 \, x^{8} + x^{4} - 1\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{{\left(x^{8} - x^{4} + 1\right)} x^{6}}\,{d x}"," ",0,"integrate((2*x^8 + x^4 - 1)*(x^4 - 1)^(1/4)/((x^8 - x^4 + 1)*x^6), x)","F",0
1071,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{2 \, a b - {\left(a + b\right)} x}{\left({\left(a - x\right)} {\left(b - x\right)} x^{2}\right)^{\frac{1}{4}} {\left(a b d - {\left(a + b\right)} d x + {\left(d - 1\right)} x^{2}\right)}}\,{d x}"," ",0,"-integrate((2*a*b - (a + b)*x)/(((a - x)*(b - x)*x^2)^(1/4)*(a*b*d - (a + b)*d*x + (d - 1)*x^2)), x)","F",0
1072,1,61,0,0.429825," ","integrate((x^3+1)^(1/3)/x,x, algorithm=""maxima"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{3} + 1\right)}^{\frac{1}{3}} + 1\right)}\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(1/3*sqrt(3)*(2*(x^3 + 1)^(1/3) + 1)) + (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
1073,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{3 \, a b - 2 \, {\left(a + b\right)} x + x^{2}}{{\left(a b d - {\left(a + b\right)} d x + d x^{2} - x^{3}\right)} \left({\left(a - x\right)} {\left(b - x\right)} x\right)^{\frac{1}{4}}}\,{d x}"," ",0,"-integrate((3*a*b - 2*(a + b)*x + x^2)/((a*b*d - (a + b)*d*x + d*x^2 - x^3)*((a - x)*(b - x)*x)^(1/4)), x)","F",0
1074,0,0,0,0.000000," ","integrate(1/(a^3*x^3-b)/(a^3*x^3-b*x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} x^{3} - b\right)}}\,{d x}"," ",0,"integrate(1/((a^3*x^3 - b*x^2)^(1/3)*(a^3*x^3 - b)), x)","F",0
1075,0,0,0,0.000000," ","integrate(1/(a^3*x^3-b)/(a^3*x^3-b*x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} x^{3} - b\right)}}\,{d x}"," ",0,"integrate(1/((a^3*x^3 - b*x^2)^(1/3)*(a^3*x^3 - b)), x)","F",0
1076,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{2 \, a b x^{2} - {\left(a + b\right)} x^{3}}{\left({\left(a - x\right)} {\left(b - x\right)} x^{2}\right)^{\frac{3}{4}} {\left({\left(d - 1\right)} x^{2} - a b + {\left(a + b\right)} x\right)}}\,{d x}"," ",0,"-integrate((2*a*b*x^2 - (a + b)*x^3)/(((a - x)*(b - x)*x^2)^(3/4)*((d - 1)*x^2 - a*b + (a + b)*x)), x)","F",0
1077,0,0,0,0.000000," ","integrate((x^4-1)^(3/4)/(x^4+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - 1\right)}^{\frac{3}{4}}}{x^{4} + 1}\,{d x}"," ",0,"integrate((x^4 - 1)^(3/4)/(x^4 + 1), x)","F",0
1078,0,0,0,0.000000," ","integrate((x^4-x^2)^(1/4)/x^4/(x^4-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - x^{2}\right)}^{\frac{1}{4}}}{{\left(x^{4} - 1\right)} x^{4}}\,{d x}"," ",0,"integrate((x^4 - x^2)^(1/4)/((x^4 - 1)*x^4), x)","F",0
1079,0,0,0,0.000000," ","integrate((-x^2+1)^2/(x^2+1)/(x^4+6*x^2+1)^(3/4),x, algorithm=""maxima"")","\int \frac{{\left(x^{2} - 1\right)}^{2}}{{\left(x^{4} + 6 \, x^{2} + 1\right)}^{\frac{3}{4}} {\left(x^{2} + 1\right)}}\,{d x}"," ",0,"integrate((x^2 - 1)^2/((x^4 + 6*x^2 + 1)^(3/4)*(x^2 + 1)), x)","F",0
1080,0,0,0,0.000000," ","integrate(1/(1+x)/(x^4+6*x^2+1)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{4} + 6 \, x^{2} + 1\right)}^{\frac{1}{4}} {\left(x + 1\right)}}\,{d x}"," ",0,"integrate(1/((x^4 + 6*x^2 + 1)^(1/4)*(x + 1)), x)","F",0
1081,0,0,0,0.000000," ","integrate((1+x)/(x^4-12*x^3+14*x^2+4*x-7)^(1/2),x, algorithm=""maxima"")","\int \frac{x + 1}{\sqrt{x^{4} - 12 \, x^{3} + 14 \, x^{2} + 4 \, x - 7}}\,{d x}"," ",0,"integrate((x + 1)/sqrt(x^4 - 12*x^3 + 14*x^2 + 4*x - 7), x)","F",0
1082,0,0,0,0.000000," ","integrate((x^4+3)/(x^4-1)^(1/3)/(x^4-8*x^3-1),x, algorithm=""maxima"")","\int \frac{x^{4} + 3}{{\left(x^{4} - 8 \, x^{3} - 1\right)} {\left(x^{4} - 1\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((x^4 + 3)/((x^4 - 8*x^3 - 1)*(x^4 - 1)^(1/3)), x)","F",0
1083,0,0,0,0.000000," ","integrate((-3+2*x)*(3*x^4+2*x^2-2*x)^(1/2)/(x^3+2*x-2)^2,x, algorithm=""maxima"")","\int \frac{\sqrt{3 \, x^{4} + 2 \, x^{2} - 2 \, x} {\left(2 \, x - 3\right)}}{{\left(x^{3} + 2 \, x - 2\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(3*x^4 + 2*x^2 - 2*x)*(2*x - 3)/(x^3 + 2*x - 2)^2, x)","F",0
1084,1,93,0,0.429317," ","integrate((a*x^4-2*b)/x^4/(a*x^4-b)^(1/4),x, algorithm=""maxima"")","-\frac{1}{4} \, a {\left(\frac{2 \, \arctan\left(\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}} - \frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}}{a^{\frac{1}{4}} + \frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}}\right)}{a^{\frac{1}{4}}}\right)} - \frac{2 \, {\left(a x^{4} - b\right)}^{\frac{3}{4}}}{3 \, x^{3}}"," ",0,"-1/4*a*(2*arctan((a*x^4 - b)^(1/4)/(a^(1/4)*x))/a^(1/4) + log(-(a^(1/4) - (a*x^4 - b)^(1/4)/x)/(a^(1/4) + (a*x^4 - b)^(1/4)/x))/a^(1/4)) - 2/3*(a*x^4 - b)^(3/4)/x^3","A",0
1085,1,112,0,0.428549," ","integrate((a*x^4-b)^(3/4),x, algorithm=""maxima"")","\frac{3}{16} \, b {\left(\frac{2 \, \arctan\left(\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}} - \frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}}{a^{\frac{1}{4}} + \frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}}\right)}{a^{\frac{1}{4}}}\right)} + \frac{{\left(a x^{4} - b\right)}^{\frac{3}{4}} b}{4 \, {\left(a - \frac{a x^{4} - b}{x^{4}}\right)} x^{3}}"," ",0,"3/16*b*(2*arctan((a*x^4 - b)^(1/4)/(a^(1/4)*x))/a^(1/4) + log(-(a^(1/4) - (a*x^4 - b)^(1/4)/x)/(a^(1/4) + (a*x^4 - b)^(1/4)/x))/a^(1/4)) + 1/4*(a*x^4 - b)^(3/4)*b/((a - (a*x^4 - b)/x^4)*x^3)","A",0
1086,1,93,0,0.437122," ","integrate((a*x^4-b)^(3/4)/x^4,x, algorithm=""maxima"")","-\frac{1}{4} \, a {\left(\frac{2 \, \arctan\left(\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}} - \frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}}{a^{\frac{1}{4}} + \frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}}\right)}{a^{\frac{1}{4}}}\right)} - \frac{{\left(a x^{4} - b\right)}^{\frac{3}{4}}}{3 \, x^{3}}"," ",0,"-1/4*a*(2*arctan((a*x^4 - b)^(1/4)/(a^(1/4)*x))/a^(1/4) + log(-(a^(1/4) - (a*x^4 - b)^(1/4)/x)/(a^(1/4) + (a*x^4 - b)^(1/4)/x))/a^(1/4)) - 1/3*(a*x^4 - b)^(3/4)/x^3","A",0
1087,0,0,0,0.000000," ","integrate(1/(a*x^3-b*x^2)^(1/3)/(a*x^4+b),x, algorithm=""maxima"")","\int \frac{1}{{\left(a x^{4} + b\right)} {\left(a x^{3} - b x^{2}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((a*x^4 + b)*(a*x^3 - b*x^2)^(1/3)), x)","F",0
1088,0,0,0,0.000000," ","integrate(1/(a*x^3-b*x^2)^(1/3)/(a*x^4+b),x, algorithm=""maxima"")","\int \frac{1}{{\left(a x^{4} + b\right)} {\left(a x^{3} - b x^{2}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((a*x^4 + b)*(a*x^3 - b*x^2)^(1/3)), x)","F",0
1089,0,0,0,0.000000," ","integrate((a*x^4+b*x^3)^(1/4)/x^2,x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x^{2}}\,{d x}"," ",0,"integrate((a*x^4 + b*x^3)^(1/4)/x^2, x)","F",0
1090,0,0,0,0.000000," ","integrate((x^6+x^4-x^3+1)^(3/4)*(2*x^6+x^3-4)/(x^6-x^3+1)^2,x, algorithm=""maxima"")","\int \frac{{\left(2 \, x^{6} + x^{3} - 4\right)} {\left(x^{6} + x^{4} - x^{3} + 1\right)}^{\frac{3}{4}}}{{\left(x^{6} - x^{3} + 1\right)}^{2}}\,{d x}"," ",0,"integrate((2*x^6 + x^3 - 4)*(x^6 + x^4 - x^3 + 1)^(3/4)/(x^6 - x^3 + 1)^2, x)","F",0
1091,0,0,0,0.000000," ","integrate((2*x^4+1)/(x^4+1)^(1/4)/(x^8-x^4-2),x, algorithm=""maxima"")","\int \frac{2 \, x^{4} + 1}{{\left(x^{8} - x^{4} - 2\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((2*x^4 + 1)/((x^8 - x^4 - 2)*(x^4 + 1)^(1/4)), x)","F",0
1092,0,0,0,0.000000," ","integrate(1/(a*x^4-b*x^2)^(1/4)/(a*x^8+b),x, algorithm=""maxima"")","\int \frac{1}{{\left(a x^{8} + b\right)} {\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((a*x^8 + b)*(a*x^4 - b*x^2)^(1/4)), x)","F",0
1093,0,0,0,0.000000," ","integrate(1/(a*x^4-b*x^2)^(1/4)/(a*x^8+b),x, algorithm=""maxima"")","\int \frac{1}{{\left(a x^{8} + b\right)} {\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((a*x^8 + b)*(a*x^4 - b*x^2)^(1/4)), x)","F",0
1094,0,0,0,0.000000," ","integrate((a^4*x^4-b^4)*(a^4*x^4+b^4)^(1/2)/(a^8*x^8+b^8),x, algorithm=""maxima"")","\int \frac{\sqrt{a^{4} x^{4} + b^{4}} {\left(a^{4} x^{4} - b^{4}\right)}}{a^{8} x^{8} + b^{8}}\,{d x}"," ",0,"integrate(sqrt(a^4*x^4 + b^4)*(a^4*x^4 - b^4)/(a^8*x^8 + b^8), x)","F",0
1095,0,0,0,0.000000," ","integrate((a^8*x^8-b^8)/(a^4*x^4+b^4)^(1/2)/(a^8*x^8+b^8),x, algorithm=""maxima"")","\int \frac{a^{8} x^{8} - b^{8}}{{\left(a^{8} x^{8} + b^{8}\right)} \sqrt{a^{4} x^{4} + b^{4}}}\,{d x}"," ",0,"integrate((a^8*x^8 - b^8)/((a^8*x^8 + b^8)*sqrt(a^4*x^4 + b^4)), x)","F",0
1096,0,0,0,0.000000," ","integrate((b+(a*x^2+b^2)^(1/2))^(1/2)/(a*x^2+b^2)^(3/2),x, algorithm=""maxima"")","\int \frac{\sqrt{b + \sqrt{a x^{2} + b^{2}}}}{{\left(a x^{2} + b^{2}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(b + sqrt(a*x^2 + b^2))/(a*x^2 + b^2)^(3/2), x)","F",0
1097,0,0,0,0.000000," ","integrate((a*x^2+(a^2*x^4+b)^(1/2))^(1/2)/(a^2*x^4+b)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}{\sqrt{a^{2} x^{4} + b}}\,{d x}"," ",0,"integrate(sqrt(a*x^2 + sqrt(a^2*x^4 + b))/sqrt(a^2*x^4 + b), x)","F",0
1098,0,0,0,0.000000," ","integrate(1/(a*x^3-b*x^2)^(1/3)/(a*x^4-b),x, algorithm=""maxima"")","\int \frac{1}{{\left(a x^{4} - b\right)} {\left(a x^{3} - b x^{2}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((a*x^4 - b)*(a*x^3 - b*x^2)^(1/3)), x)","F",0
1099,0,0,0,0.000000," ","integrate(1/(a*x^3-b*x^2)^(1/3)/(a*x^4-b),x, algorithm=""maxima"")","\int \frac{1}{{\left(a x^{4} - b\right)} {\left(a x^{3} - b x^{2}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((a*x^4 - b)*(a*x^3 - b*x^2)^(1/3)), x)","F",0
1100,0,0,0,0.000000," ","integrate((a*x^4-b*x^3)^(1/4)/x/(a*x^3+b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}}}{{\left(a x^{3} + b\right)} x}\,{d x}"," ",0,"integrate((a*x^4 - b*x^3)^(1/4)/((a*x^3 + b)*x), x)","F",0
1101,0,0,0,0.000000," ","integrate((a*x^4-b*x^3)^(1/4)/x/(a*x^3+b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}}}{{\left(a x^{3} + b\right)} x}\,{d x}"," ",0,"integrate((a*x^4 - b*x^3)^(1/4)/((a*x^3 + b)*x), x)","F",0
1102,0,0,0,0.000000," ","integrate((a*x^4+b*x^3)^(1/4)/x,x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x}\,{d x}"," ",0,"integrate((a*x^4 + b*x^3)^(1/4)/x, x)","F",0
1103,0,0,0,0.000000," ","integrate((a*x-b)*(a*x^4+b*x^3)^(1/4)/x/(a*x+b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} {\left(a x - b\right)}}{{\left(a x + b\right)} x}\,{d x}"," ",0,"integrate((a*x^4 + b*x^3)^(1/4)*(a*x - b)/((a*x + b)*x), x)","F",0
1104,0,0,0,0.000000," ","integrate((3*x^4-1)/(x^4-x+1)/(x^6+x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{3 \, x^{4} - 1}{{\left(x^{6} + x^{2}\right)}^{\frac{1}{3}} {\left(x^{4} - x + 1\right)}}\,{d x}"," ",0,"integrate((3*x^4 - 1)/((x^6 + x^2)^(1/3)*(x^4 - x + 1)), x)","F",0
1105,0,0,0,0.000000," ","integrate(1/(a*x^4-b*x^2)^(1/4)/(a*x^8-b),x, algorithm=""maxima"")","\int \frac{1}{{\left(a x^{8} - b\right)} {\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((a*x^8 - b)*(a*x^4 - b*x^2)^(1/4)), x)","F",0
1106,0,0,0,0.000000," ","integrate(1/(a*x^4-b*x^2)^(1/4)/(a*x^8-b),x, algorithm=""maxima"")","\int \frac{1}{{\left(a x^{8} - b\right)} {\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((a*x^8 - b)*(a*x^4 - b*x^2)^(1/4)), x)","F",0
1107,1,127,0,0.421633," ","integrate((a*x^8-b)/x^2/(a*x^4+b)^(3/4),x, algorithm=""maxima"")","-\frac{1}{16} \, a {\left(\frac{3 \, {\left(\frac{2 \, b \arctan\left(\frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}} x}\right)}{a^{\frac{3}{4}}} - \frac{b \log\left(-\frac{a^{\frac{1}{4}} - \frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}}{a^{\frac{1}{4}} + \frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}}\right)}{a^{\frac{3}{4}}}\right)}}{a} + \frac{4 \, {\left(a x^{4} + b\right)}^{\frac{1}{4}} b}{{\left(a^{2} - \frac{{\left(a x^{4} + b\right)} a}{x^{4}}\right)} x}\right)} + \frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}"," ",0,"-1/16*a*(3*(2*b*arctan((a*x^4 + b)^(1/4)/(a^(1/4)*x))/a^(3/4) - b*log(-(a^(1/4) - (a*x^4 + b)^(1/4)/x)/(a^(1/4) + (a*x^4 + b)^(1/4)/x))/a^(3/4))/a + 4*(a*x^4 + b)^(1/4)*b/((a^2 - (a*x^4 + b)*a/x^4)*x)) + (a*x^4 + b)^(1/4)/x","B",0
1108,0,0,0,0.000000," ","integrate(x^5*(5*a*x^2-4*b)/(a*x^2-b)^(1/4)/(a*x^10-b*x^8+b),x, algorithm=""maxima"")","\int \frac{{\left(5 \, a x^{2} - 4 \, b\right)} x^{5}}{{\left(a x^{10} - b x^{8} + b\right)} {\left(a x^{2} - b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((5*a*x^2 - 4*b)*x^5/((a*x^10 - b*x^8 + b)*(a*x^2 - b)^(1/4)), x)","F",0
1109,0,0,0,0.000000," ","integrate(1/(x^3+x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((x^3 + x^2)^(-1/3), x)","F",0
1110,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{a - 3 \, b + 2 \, x}{{\left(a^{3} + 3 \, a x^{2} - x^{3} - b d - {\left(3 \, a^{2} - d\right)} x\right)} \left({\left(a - x\right)} {\left(b - x\right)}\right)^{\frac{1}{4}}}\,{d x}"," ",0,"-integrate((a - 3*b + 2*x)/((a^3 + 3*a*x^2 - x^3 - b*d - (3*a^2 - d)*x)*((a - x)*(b - x))^(1/4)), x)","F",0
1111,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a^{2} - 2 \, a x + x^{2}\right)} {\left(a - 3 \, b + 2 \, x\right)}}{{\left(a^{3} d + 3 \, a d x^{2} - d x^{3} - {\left(3 \, a^{2} d - 1\right)} x - b\right)} \left({\left(a - x\right)} {\left(b - x\right)}\right)^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((a^2 - 2*a*x + x^2)*(a - 3*b + 2*x)/((a^3*d + 3*a*d*x^2 - d*x^3 - (3*a^2*d - 1)*x - b)*((a - x)*(b - x))^(3/4)), x)","F",0
1112,0,0,0,0.000000," ","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=""maxima"")","\int \frac{k x^{2} - 2 \, {\left(k - 1\right)} x - 1}{{\left(k^{3} x^{3} - {\left(3 \, k^{2} + d\right)} x^{2} + {\left(d + 3 \, k\right)} x - 1\right)} \left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((k*x^2 - 2*(k - 1)*x - 1)/((k^3*x^3 - (3*k^2 + d)*x^2 + (d + 3*k)*x - 1)*((k*x - 1)*(x - 1)*x)^(1/4)), x)","F",0
1113,0,0,0,0.000000," ","integrate((x^4+6*x^2+1)^(1/2)/x/(x^2+1),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{4} + 6 \, x^{2} + 1}}{{\left(x^{2} + 1\right)} x}\,{d x}"," ",0,"integrate(sqrt(x^4 + 6*x^2 + 1)/((x^2 + 1)*x), x)","F",0
1114,0,0,0,0.000000," ","integrate((x^2-1)*(2*x^4+2*x^2-1)^(1/4)/x^2/(2*x^2-1),x, algorithm=""maxima"")","\int \frac{{\left(2 \, x^{4} + 2 \, x^{2} - 1\right)}^{\frac{1}{4}} {\left(x^{2} - 1\right)}}{{\left(2 \, x^{2} - 1\right)} x^{2}}\,{d x}"," ",0,"integrate((2*x^4 + 2*x^2 - 1)^(1/4)*(x^2 - 1)/((2*x^2 - 1)*x^2), x)","F",0
1115,0,0,0,0.000000," ","integrate(1/(a*x^4+b)^(1/4)/(a*x^4+2*b),x, algorithm=""maxima"")","\int \frac{1}{{\left(a x^{4} + 2 \, b\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((a*x^4 + 2*b)*(a*x^4 + b)^(1/4)), x)","F",0
1116,0,0,0,0.000000," ","integrate((a*x^4-b*x^2)^(1/4)/x^2,x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}}}{x^{2}}\,{d x}"," ",0,"integrate((a*x^4 - b*x^2)^(1/4)/x^2, x)","F",0
1117,0,0,0,0.000000," ","integrate(1/(a*x^4-b*x^2)^(1/4)/(b*x^8+a),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{8} + a\right)} {\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((b*x^8 + a)*(a*x^4 - b*x^2)^(1/4)), x)","F",0
1118,0,0,0,0.000000," ","integrate(1/(a*x^4-b*x^2)^(1/4)/(b*x^8+a),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{8} + a\right)} {\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((b*x^8 + a)*(a*x^4 - b*x^2)^(1/4)), x)","F",0
1119,0,0,0,0.000000," ","integrate((-1+x)*(x+(1+x)^(1/2))^(1/2)/(1+x)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{x + \sqrt{x + 1}} {\left(x - 1\right)}}{\sqrt{x + 1}}\,{d x}"," ",0,"integrate(sqrt(x + sqrt(x + 1))*(x - 1)/sqrt(x + 1), x)","F",0
1120,0,0,0,0.000000," ","integrate(x*(x+(1+x)^(1/2))^(1/2)/(1+x)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{x + \sqrt{x + 1}} x}{\sqrt{x + 1}}\,{d x}"," ",0,"integrate(sqrt(x + sqrt(x + 1))*x/sqrt(x + 1), x)","F",0
1121,0,0,0,0.000000," ","integrate((1+x)^(1/2)*(x+(1+x)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{x + \sqrt{x + 1}} \sqrt{x + 1}\,{d x}"," ",0,"integrate(sqrt(x + sqrt(x + 1))*sqrt(x + 1), x)","F",0
1122,0,0,0,0.000000," ","integrate((1+(x^2+1)^(1/2))/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{2} + 1} + 1}{\sqrt{x + \sqrt{x^{2} + 1}}}\,{d x}"," ",0,"integrate((sqrt(x^2 + 1) + 1)/sqrt(x + sqrt(x^2 + 1)), x)","F",0
1123,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(x^{2} - 4 \, x + 1\right)}^{\frac{3}{2}} + \sqrt{x^{2} - 4 \, x + 1}}{{\left(x^{2} - 4 \, x + 1\right)}^{\frac{5}{2}} - {\left(x^{2} - 4 \, x + 1\right)}^{\frac{3}{2}} - \sqrt{x^{2} - 4 \, x + 1}}\,{d x}"," ",0,"-integrate(((x^2 - 4*x + 1)^(3/2) + sqrt(x^2 - 4*x + 1))/((x^2 - 4*x + 1)^(5/2) - (x^2 - 4*x + 1)^(3/2) - sqrt(x^2 - 4*x + 1)), x)","F",0
1124,0,0,0,0.000000," ","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=""maxima"")","\int \frac{x^{2}}{\sqrt{a^{2} x^{2} - b x} {\left(a x^{2} + \sqrt{a^{2} x^{2} - b x} x\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^2/(sqrt(a^2*x^2 - b*x)*(a*x^2 + sqrt(a^2*x^2 - b*x)*x)^(3/2)), x)","F",0
1125,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{a^{2} b - {\left(2 \, a + b\right)} a x + 3 \, a x^{2} - x^{3}}{\sqrt{{\left(a - x\right)} {\left(b - x\right)} x} {\left(d x^{2} - {\left(b d + 1\right)} x + a\right)} {\left(b - x\right)} x}\,{d x}"," ",0,"-integrate((a^2*b - (2*a + b)*a*x + 3*a*x^2 - x^3)/(sqrt((a - x)*(b - x)*x)*(d*x^2 - (b*d + 1)*x + a)*(b - x)*x), x)","F",0
1126,1,63,0,0.489169," ","integrate((x^3+1)^(2/3)/x,x, algorithm=""maxima"")","\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{3} + 1\right)}^{\frac{1}{3}} + 1\right)}\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(1/3*sqrt(3)*(2*(x^3 + 1)^(1/3) + 1)) + 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
1127,0,0,0,0.000000," ","integrate((2*a*x^2-b)*(a*x^4+b*x^2)^(1/4)/(a*x^2+b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}} {\left(2 \, a x^{2} - b\right)}}{a x^{2} + b}\,{d x}"," ",0,"integrate((a*x^4 + b*x^2)^(1/4)*(2*a*x^2 - b)/(a*x^2 + b), x)","F",0
1128,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{8} + x^{6} + 3 \, x^{4} + x^{2} + 1\right)} \sqrt{x^{4} + x^{2} + 1} {\left(x^{4} - 1\right)}}{{\left(x^{4} - x^{2} + 1\right)} {\left(x^{4} + 1\right)}^{3}}\,{d x}"," ",0,"integrate((x^8 + x^6 + 3*x^4 + x^2 + 1)*sqrt(x^4 + x^2 + 1)*(x^4 - 1)/((x^4 - x^2 + 1)*(x^4 + 1)^3), x)","F",0
1129,0,0,0,0.000000," ","integrate((x^6+1)*(x^6+x^3-1)*(x^12+1)^(1/2)/x^7/(x^6-x^3-1),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{12} + 1} {\left(x^{6} + x^{3} - 1\right)} {\left(x^{6} + 1\right)}}{{\left(x^{6} - x^{3} - 1\right)} x^{7}}\,{d x}"," ",0,"integrate(sqrt(x^12 + 1)*(x^6 + x^3 - 1)*(x^6 + 1)/((x^6 - x^3 - 1)*x^7), x)","F",0
1130,1,43,0,0.321421," ","integrate((d+c*(a*x+b)^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{4 \, {\left(\frac{3 \, {\left(\sqrt{a x + b} c + d\right)}^{\frac{5}{2}}}{c^{2}} - \frac{5 \, {\left(\sqrt{a x + b} c + d\right)}^{\frac{3}{2}} d}{c^{2}}\right)}}{15 \, a}"," ",0,"4/15*(3*(sqrt(a*x + b)*c + d)^(5/2)/c^2 - 5*(sqrt(a*x + b)*c + d)^(3/2)*d/c^2)/a","A",0
1131,1,63,0,0.426414," ","integrate((2*x^2+1)/x/(x^2+1)^(2/3),x, algorithm=""maxima"")","-\frac{1}{2} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{2} + 1\right)}^{\frac{1}{3}} + 1\right)}\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(1/3*sqrt(3)*(2*(x^2 + 1)^(1/3) + 1)) + 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
1132,0,0,0,0.000000," ","integrate(x/((1-x)*x*(-k^2*x+1))^(1/2)/(k^2*x^2-1),x, algorithm=""maxima"")","\int \frac{x}{{\left(k^{2} x^{2} - 1\right)} \sqrt{{\left(k^{2} x - 1\right)} {\left(x - 1\right)} x}}\,{d x}"," ",0,"integrate(x/((k^2*x^2 - 1)*sqrt((k^2*x - 1)*(x - 1)*x)), x)","F",0
1133,0,0,0,0.000000," ","integrate((1+x)/(x^2+2*x-1)/(x^3-x)^(1/2),x, algorithm=""maxima"")","\int \frac{x + 1}{\sqrt{x^{3} - x} {\left(x^{2} + 2 \, x - 1\right)}}\,{d x}"," ",0,"integrate((x + 1)/(sqrt(x^3 - x)*(x^2 + 2*x - 1)), x)","F",0
1134,0,0,0,0.000000," ","integrate((x^2-x)/(x^2+2*x-1)/(x^3-x)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} - x}{\sqrt{x^{3} - x} {\left(x^{2} + 2 \, x - 1\right)}}\,{d x}"," ",0,"integrate((x^2 - x)/(sqrt(x^3 - x)*(x^2 + 2*x - 1)), x)","F",0
1135,0,0,0,0.000000," ","integrate((x^2+3)/(x^2+1)^(1/3)/(x^3+x^2+1),x, algorithm=""maxima"")","\int \frac{x^{2} + 3}{{\left(x^{3} + x^{2} + 1\right)} {\left(x^{2} + 1\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((x^2 + 3)/((x^3 + x^2 + 1)*(x^2 + 1)^(1/3)), x)","F",0
1136,0,0,0,0.000000," ","integrate(x/(x^3-1)/(2*x^3-1)^(2/3),x, algorithm=""maxima"")","\int \frac{x}{{\left(2 \, x^{3} - 1\right)}^{\frac{2}{3}} {\left(x^{3} - 1\right)}}\,{d x}"," ",0,"integrate(x/((2*x^3 - 1)^(2/3)*(x^3 - 1)), x)","F",0
1137,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(k^{2} x^{2} - 2 \, k x + 1\right)} {\left(k x^{2} - 2 \, {\left(k - 1\right)} x - 1\right)}}{{\left(d k^{3} x^{3} - {\left(3 \, d k^{2} + 1\right)} x^{2} + {\left(3 \, d k + 1\right)} x - d\right)} \left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((k^2*x^2 - 2*k*x + 1)*(k*x^2 - 2*(k - 1)*x - 1)/((d*k^3*x^3 - (3*d*k^2 + 1)*x^2 + (3*d*k + 1)*x - d)*((k*x - 1)*(x - 1)*x)^(3/4)), x)","F",0
1138,0,0,0,0.000000," ","integrate((x^4-1)/(x^3-x)^(1/2)/(x^4+1),x, algorithm=""maxima"")","\int \frac{x^{4} - 1}{{\left(x^{4} + 1\right)} \sqrt{x^{3} - x}}\,{d x}"," ",0,"integrate((x^4 - 1)/((x^4 + 1)*sqrt(x^3 - x)), x)","F",0
1139,0,0,0,0.000000," ","integrate((x^2-1)/(x^2+x+1)/(x^4+x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{x^{2} - 1}{{\left(x^{4} + x^{2}\right)}^{\frac{1}{3}} {\left(x^{2} + x + 1\right)}}\,{d x}"," ",0,"integrate((x^2 - 1)/((x^4 + x^2)^(1/3)*(x^2 + x + 1)), x)","F",0
1140,1,103,0,0.414888," ","integrate((a*x^4-2*b)*(a*x^4+b)^(3/4)/x^8,x, algorithm=""maxima"")","-\frac{1}{12} \, {\left(3 \, a {\left(\frac{2 \, \arctan\left(\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}} - \frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}}{a^{\frac{1}{4}} + \frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}}\right)}{a^{\frac{1}{4}}}\right)} + \frac{4 \, {\left(a x^{4} + b\right)}^{\frac{3}{4}}}{x^{3}}\right)} a + \frac{2 \, {\left(a x^{4} + b\right)}^{\frac{7}{4}}}{7 \, x^{7}}"," ",0,"-1/12*(3*a*(2*arctan((a*x^4 + b)^(1/4)/(a^(1/4)*x))/a^(1/4) + log(-(a^(1/4) - (a*x^4 + b)^(1/4)/x)/(a^(1/4) + (a*x^4 + b)^(1/4)/x))/a^(1/4)) + 4*(a*x^4 + b)^(3/4)/x^3)*a + 2/7*(a*x^4 + b)^(7/4)/x^7","A",0
1141,1,113,0,0.417492," ","integrate((a*x^4-b)^(3/4)*(2*a*x^4-b)/x^8,x, algorithm=""maxima"")","-\frac{1}{6} \, {\left(3 \, a {\left(\frac{2 \, \arctan\left(\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}} - \frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}}{a^{\frac{1}{4}} + \frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}}\right)}{a^{\frac{1}{4}}}\right)} + \frac{4 \, {\left(a x^{4} - b\right)}^{\frac{3}{4}}}{x^{3}}\right)} a - \frac{{\left(a x^{4} - b\right)}^{\frac{7}{4}}}{7 \, x^{7}}"," ",0,"-1/6*(3*a*(2*arctan((a*x^4 - b)^(1/4)/(a^(1/4)*x))/a^(1/4) + log(-(a^(1/4) - (a*x^4 - b)^(1/4)/x)/(a^(1/4) + (a*x^4 - b)^(1/4)/x))/a^(1/4)) + 4*(a*x^4 - b)^(3/4)/x^3)*a - 1/7*(a*x^4 - b)^(7/4)/x^7","A",0
1142,0,0,0,0.000000," ","integrate((p*x^2-q)*(a*p*x^2+a*q+b*x)*(p^2*x^4+q^2)^(1/2)/x^4,x, algorithm=""maxima"")","\int \frac{\sqrt{p^{2} x^{4} + q^{2}} {\left(a p x^{2} + a q + b x\right)} {\left(p x^{2} - q\right)}}{x^{4}}\,{d x}"," ",0,"integrate(sqrt(p^2*x^4 + q^2)*(a*p*x^2 + a*q + b*x)*(p*x^2 - q)/x^4, x)","F",0
1143,0,0,0,0.000000," ","integrate((2*x^3-1)/(x^3+x+1)/(x^5+x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{2 \, x^{3} - 1}{{\left(x^{5} + x^{2}\right)}^{\frac{1}{3}} {\left(x^{3} + x + 1\right)}}\,{d x}"," ",0,"integrate((2*x^3 - 1)/((x^5 + x^2)^(1/3)*(x^3 + x + 1)), x)","F",0
1144,0,0,0,0.000000," ","integrate((3*x^5+2)/(x^5+x^2-1)/(x^6-x)^(1/3),x, algorithm=""maxima"")","\int \frac{3 \, x^{5} + 2}{{\left(x^{6} - x\right)}^{\frac{1}{3}} {\left(x^{5} + x^{2} - 1\right)}}\,{d x}"," ",0,"integrate((3*x^5 + 2)/((x^6 - x)^(1/3)*(x^5 + x^2 - 1)), x)","F",0
1145,0,0,0,0.000000," ","integrate((x^6-1)^(1/2)*(2*x^6-1)^2/x^4/(4*x^6-1),x, algorithm=""maxima"")","\int \frac{{\left(2 \, x^{6} - 1\right)}^{2} \sqrt{x^{6} - 1}}{{\left(4 \, x^{6} - 1\right)} x^{4}}\,{d x}"," ",0,"integrate((2*x^6 - 1)^2*sqrt(x^6 - 1)/((4*x^6 - 1)*x^4), x)","F",0
1146,0,0,0,0.000000," ","integrate((x^4+1)/(x^4-1)^(1/4)/(x^8+x^4+1),x, algorithm=""maxima"")","\int \frac{x^{4} + 1}{{\left(x^{8} + x^{4} + 1\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((x^4 + 1)/((x^8 + x^4 + 1)*(x^4 - 1)^(1/4)), x)","F",0
1147,0,0,0,0.000000," ","integrate((2*x^4-1)/(x^4-1)^(1/4)/(2*x^8-x^4-2),x, algorithm=""maxima"")","\int \frac{2 \, x^{4} - 1}{{\left(2 \, x^{8} - x^{4} - 2\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((2*x^4 - 1)/((2*x^8 - x^4 - 2)*(x^4 - 1)^(1/4)), x)","F",0
1148,0,0,0,0.000000," ","integrate((2*x^8+x^4-1)/(x^4-1)^(1/4)/(x^8-x^4+1),x, algorithm=""maxima"")","\int \frac{2 \, x^{8} + x^{4} - 1}{{\left(x^{8} - x^{4} + 1\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((2*x^8 + x^4 - 1)/((x^8 - x^4 + 1)*(x^4 - 1)^(1/4)), x)","F",0
1149,0,0,0,0.000000," ","integrate(1/(a*x^4+b*x^2)^(1/4)/(a*x^8-2*b),x, algorithm=""maxima"")","\int \frac{1}{{\left(a x^{8} - 2 \, b\right)} {\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((a*x^8 - 2*b)*(a*x^4 + b*x^2)^(1/4)), x)","F",0
1150,0,0,0,0.000000," ","integrate(1/(a*x^4+b*x^2)^(1/4)/(a*x^8-2*b),x, algorithm=""maxima"")","\int \frac{1}{{\left(a x^{8} - 2 \, b\right)} {\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((a*x^8 - 2*b)*(a*x^4 + b*x^2)^(1/4)), x)","F",0
1151,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(2 \, x^{10} + x^{8} - 4 \, x^{5} + 2\right)} {\left(2 \, x^{5} + x^{4} - 2\right)}^{\frac{1}{4}} {\left(x^{5} + 4\right)}}{{\left(x^{5} - 1\right)} x^{10}}\,{d x}"," ",0,"integrate((2*x^10 + x^8 - 4*x^5 + 2)*(2*x^5 + x^4 - 2)^(1/4)*(x^5 + 4)/((x^5 - 1)*x^10), x)","F",0
1152,0,0,0,0.000000," ","integrate((x^12+1)/(x^4+1)^(1/2)/(x^12-1),x, algorithm=""maxima"")","\int \frac{x^{12} + 1}{{\left(x^{12} - 1\right)} \sqrt{x^{4} + 1}}\,{d x}"," ",0,"integrate((x^12 + 1)/((x^12 - 1)*sqrt(x^4 + 1)), x)","F",0
1153,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{12} - x^{8} - 2 \, x^{6} - x^{4} + x^{2} + 1\right)} {\left(2 \, x^{6} + 1\right)} \sqrt{-x^{6} + 1}}{{\left(x^{18} - 3 \, x^{12} + 2 \, x^{6} - 1\right)} {\left(x^{6} - 1\right)}}\,{d x}"," ",0,"integrate((x^12 - x^8 - 2*x^6 - x^4 + x^2 + 1)*(2*x^6 + 1)*sqrt(-x^6 + 1)/((x^18 - 3*x^12 + 2*x^6 - 1)*(x^6 - 1)), x)","F",0
1154,0,0,0,0.000000," ","integrate((x^2-(x^2+1)^(1/2))/(1+(x^2+1)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} - \sqrt{x^{2} + 1}}{\sqrt{\sqrt{x^{2} + 1} + 1}}\,{d x}"," ",0,"integrate((x^2 - sqrt(x^2 + 1))/sqrt(sqrt(x^2 + 1) + 1), x)","F",0
1155,0,0,0,0.000000," ","integrate(1/(-1+x)/(x^2-2*x+2)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{2} - 2 \, x + 2\right)}^{\frac{1}{3}} {\left(x - 1\right)}}\,{d x}"," ",0,"integrate(1/((x^2 - 2*x + 2)^(1/3)*(x - 1)), x)","F",0
1156,0,0,0,0.000000," ","integrate(1/(1+x)/(x^2+2*x+2)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{2} + 2 \, x + 2\right)}^{\frac{1}{3}} {\left(x + 1\right)}}\,{d x}"," ",0,"integrate(1/((x^2 + 2*x + 2)^(1/3)*(x + 1)), x)","F",0
1157,1,65,0,0.721198," ","integrate((x^3-1)^(2/3)/x,x, algorithm=""maxima"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}} - 1\right)}\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(1/3*sqrt(3)*(2*(x^3 - 1)^(1/3) - 1)) + 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
1158,0,0,0,0.000000," ","integrate((x^2+3)/(x^2+1)^(1/3)/(x^3-x^2-1),x, algorithm=""maxima"")","\int \frac{x^{2} + 3}{{\left(x^{3} - x^{2} - 1\right)} {\left(x^{2} + 1\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((x^2 + 3)/((x^3 - x^2 - 1)*(x^2 + 1)^(1/3)), x)","F",0
1159,0,0,0,0.000000," ","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=""maxima"")","\int \frac{2 \, k^{2} x^{2} - {\left(k + 1\right)} {\left(k - 1\right)} x - 2}{{\left({\left(d k^{2} - 1\right)} x^{3} - {\left(d k^{2} + 3\right)} x^{2} - {\left(d + 3\right)} x + d - 1\right)} \left({\left(k^{2} x^{2} - 1\right)} {\left(x^{2} - 1\right)}\right)^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((2*k^2*x^2 - (k + 1)*(k - 1)*x - 2)/(((d*k^2 - 1)*x^3 - (d*k^2 + 3)*x^2 - (d + 3)*x + d - 1)*((k^2*x^2 - 1)*(x^2 - 1))^(1/4)), x)","F",0
1160,0,0,0,0.000000," ","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=""maxima"")","\int \frac{2 \, k^{2} x^{2} + {\left(k + 1\right)} {\left(k - 1\right)} x - 2}{{\left({\left(d k^{2} - 1\right)} x^{3} + {\left(d k^{2} + 3\right)} x^{2} - {\left(d + 3\right)} x - d + 1\right)} \left({\left(k^{2} x^{2} - 1\right)} {\left(x^{2} - 1\right)}\right)^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((2*k^2*x^2 + (k + 1)*(k - 1)*x - 2)/(((d*k^2 - 1)*x^3 + (d*k^2 + 3)*x^2 - (d + 3)*x - d + 1)*((k^2*x^2 - 1)*(x^2 - 1))^(1/4)), x)","F",0
1161,1,109,0,0.486495," ","integrate((x^4-1)^(1/4)/x,x, algorithm=""maxima"")","-\frac{1}{4} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}}\right)}\right) - \frac{1}{4} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}}\right)}\right) - \frac{1}{8} \, \sqrt{2} \log\left(\sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} + \sqrt{x^{4} - 1} + 1\right) + \frac{1}{8} \, \sqrt{2} \log\left(-\sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} + \sqrt{x^{4} - 1} + 1\right) + {\left(x^{4} - 1\right)}^{\frac{1}{4}}"," ",0,"-1/4*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*(x^4 - 1)^(1/4))) - 1/4*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*(x^4 - 1)^(1/4))) - 1/8*sqrt(2)*log(sqrt(2)*(x^4 - 1)^(1/4) + sqrt(x^4 - 1) + 1) + 1/8*sqrt(2)*log(-sqrt(2)*(x^4 - 1)^(1/4) + sqrt(x^4 - 1) + 1) + (x^4 - 1)^(1/4)","A",0
1162,0,0,0,0.000000," ","integrate((x^4-x)^(1/2)/(a*x^3-b),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{4} - x}}{a x^{3} - b}\,{d x}"," ",0,"integrate(sqrt(x^4 - x)/(a*x^3 - b), x)","F",0
1163,0,0,0,0.000000," ","integrate(1/(x^4-1)/(x^4-x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{4} - x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} - 1\right)}}\,{d x}"," ",0,"integrate(1/((x^4 - x^2)^(1/4)*(x^4 - 1)), x)","F",0
1164,0,0,0,0.000000," ","integrate((x^4-x^3)^(1/4)/(x^2-2*x-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x^{2} - 2 \, x - 1}\,{d x}"," ",0,"integrate((x^4 - x^3)^(1/4)/(x^2 - 2*x - 1), x)","F",0
1165,0,0,0,0.000000," ","integrate((x^4-x^3)^(1/4)/(x^2-2*x-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x^{2} - 2 \, x - 1}\,{d x}"," ",0,"integrate((x^4 - x^3)^(1/4)/(x^2 - 2*x - 1), x)","F",0
1166,1,120,0,0.414419," ","integrate(x^6/(a*x^4-b)^(3/4),x, algorithm=""maxima"")","\frac{3 \, {\left(\frac{2 \, b \arctan\left(\frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}} x}\right)}{a^{\frac{3}{4}}} - \frac{b \log\left(-\frac{a^{\frac{1}{4}} - \frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}}{a^{\frac{1}{4}} + \frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}}\right)}{a^{\frac{3}{4}}}\right)}}{16 \, a} + \frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}} b}{4 \, {\left(a^{2} - \frac{{\left(a x^{4} - b\right)} a}{x^{4}}\right)} x}"," ",0,"3/16*(2*b*arctan((a*x^4 - b)^(1/4)/(a^(1/4)*x))/a^(3/4) - b*log(-(a^(1/4) - (a*x^4 - b)^(1/4)/x)/(a^(1/4) + (a*x^4 - b)^(1/4)/x))/a^(3/4))/a + 1/4*(a*x^4 - b)^(1/4)*b/((a^2 - (a*x^4 - b)*a/x^4)*x)","A",0
1167,1,190,0,0.417030," ","integrate((a*x^4-b)*(a*x^4+b)^(1/4)/x^2,x, algorithm=""maxima"")","\frac{1}{16} \, {\left(\frac{2 \, b \arctan\left(\frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}} x}\right)}{a^{\frac{3}{4}}} - \frac{b \log\left(-\frac{a^{\frac{1}{4}} - \frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}}{a^{\frac{1}{4}} + \frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}}\right)}{a^{\frac{3}{4}}} - \frac{4 \, {\left(a x^{4} + b\right)}^{\frac{1}{4}} b}{{\left(a - \frac{a x^{4} + b}{x^{4}}\right)} x}\right)} a - \frac{1}{4} \, {\left(2 \, a^{\frac{1}{4}} \arctan\left(\frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}} x}\right) - a^{\frac{1}{4}} \log\left(-\frac{a^{\frac{1}{4}} - \frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}}{a^{\frac{1}{4}} + \frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}}\right) - \frac{4 \, {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}\right)} b"," ",0,"1/16*(2*b*arctan((a*x^4 + b)^(1/4)/(a^(1/4)*x))/a^(3/4) - b*log(-(a^(1/4) - (a*x^4 + b)^(1/4)/x)/(a^(1/4) + (a*x^4 + b)^(1/4)/x))/a^(3/4) - 4*(a*x^4 + b)^(1/4)*b/((a - (a*x^4 + b)/x^4)*x))*a - 1/4*(2*a^(1/4)*arctan((a*x^4 + b)^(1/4)/(a^(1/4)*x)) - a^(1/4)*log(-(a^(1/4) - (a*x^4 + b)^(1/4)/x)/(a^(1/4) + (a*x^4 + b)^(1/4)/x)) - 4*(a*x^4 + b)^(1/4)/x)*b","B",0
1168,0,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(x^3+2)/x^6/(x^6-2*x^3-4),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} + 2\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{{\left(x^{6} - 2 \, x^{3} - 4\right)} x^{6}}\,{d x}"," ",0,"integrate((x^3 + 2)*(x^3 - 1)^(2/3)/((x^6 - 2*x^3 - 4)*x^6), x)","F",0
1169,0,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(x^3+2)/x^6/(x^6-2*x^3-4),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} + 2\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{{\left(x^{6} - 2 \, x^{3} - 4\right)} x^{6}}\,{d x}"," ",0,"integrate((x^3 + 2)*(x^3 - 1)^(2/3)/((x^6 - 2*x^3 - 4)*x^6), x)","F",0
1170,0,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(x^6-2*x^3+4)/x^6/(x^6+4*x^3-8),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} - 2 \, x^{3} + 4\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{{\left(x^{6} + 4 \, x^{3} - 8\right)} x^{6}}\,{d x}"," ",0,"integrate((x^6 - 2*x^3 + 4)*(x^3 - 1)^(2/3)/((x^6 + 4*x^3 - 8)*x^6), x)","F",0
1171,0,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(x^6-2*x^3+4)/x^6/(x^6+4*x^3-8),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} - 2 \, x^{3} + 4\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{{\left(x^{6} + 4 \, x^{3} - 8\right)} x^{6}}\,{d x}"," ",0,"integrate((x^6 - 2*x^3 + 4)*(x^3 - 1)^(2/3)/((x^6 + 4*x^3 - 8)*x^6), x)","F",0
1172,0,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(x^6-2*x^3+2)/x^6/(x^6+4*x^3-4),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} - 2 \, x^{3} + 2\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{{\left(x^{6} + 4 \, x^{3} - 4\right)} x^{6}}\,{d x}"," ",0,"integrate((x^6 - 2*x^3 + 2)*(x^3 - 1)^(2/3)/((x^6 + 4*x^3 - 4)*x^6), x)","F",0
1173,0,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(x^6-2*x^3+2)/x^6/(x^6+4*x^3-4),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} - 2 \, x^{3} + 2\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{{\left(x^{6} + 4 \, x^{3} - 4\right)} x^{6}}\,{d x}"," ",0,"integrate((x^6 - 2*x^3 + 2)*(x^3 - 1)^(2/3)/((x^6 + 4*x^3 - 4)*x^6), x)","F",0
1174,0,0,0,0.000000," ","integrate((x^4+2)/(x^4-1)^(1/4)/(x^8-2),x, algorithm=""maxima"")","\int \frac{x^{4} + 2}{{\left(x^{8} - 2\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((x^4 + 2)/((x^8 - 2)*(x^4 - 1)^(1/4)), x)","F",0
1175,1,107,0,0.493883," ","integrate((a*x^8-b)/x^6/(a*x^4+b)^(3/4),x, algorithm=""maxima"")","\frac{1}{4} \, a {\left(\frac{2 \, \arctan\left(\frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}} x}\right)}{a^{\frac{3}{4}}} - \frac{\log\left(-\frac{a^{\frac{1}{4}} - \frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}}{a^{\frac{1}{4}} + \frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}}\right)}{a^{\frac{3}{4}}}\right)} - \frac{\frac{5 \, {\left(a x^{4} + b\right)}^{\frac{1}{4}} a}{x} - \frac{{\left(a x^{4} + b\right)}^{\frac{5}{4}}}{x^{5}}}{5 \, b}"," ",0,"1/4*a*(2*arctan((a*x^4 + b)^(1/4)/(a^(1/4)*x))/a^(3/4) - log(-(a^(1/4) - (a*x^4 + b)^(1/4)/x)/(a^(1/4) + (a*x^4 + b)^(1/4)/x))/a^(3/4)) - 1/5*(5*(a*x^4 + b)^(1/4)*a/x - (a*x^4 + b)^(5/4)/x^5)/b","A",0
1176,0,0,0,0.000000," ","integrate(x^(1/2)/(-1+x)/(-x^(1/2)+x)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{x}}{\sqrt{x - \sqrt{x}} {\left(x - 1\right)}}\,{d x}"," ",0,"integrate(sqrt(x)/(sqrt(x - sqrt(x))*(x - 1)), x)","F",0
1177,1,66,0,0.569732," ","integrate(1/x^3/(x^2+1)^(2/3),x, algorithm=""maxima"")","\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{2} + 1\right)}^{\frac{1}{3}} + 1\right)}\right) - \frac{{\left(x^{2} + 1\right)}^{\frac{1}{3}}}{2 \, x^{2}} + \frac{1}{6} \, \log\left({\left(x^{2} + 1\right)}^{\frac{2}{3}} + {\left(x^{2} + 1\right)}^{\frac{1}{3}} + 1\right) - \frac{1}{3} \, \log\left({\left(x^{2} + 1\right)}^{\frac{1}{3}} - 1\right)"," ",0,"1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^2 + 1)^(1/3) + 1)) - 1/2*(x^2 + 1)^(1/3)/x^2 + 1/6*log((x^2 + 1)^(2/3) + (x^2 + 1)^(1/3) + 1) - 1/3*log((x^2 + 1)^(1/3) - 1)","A",0
1178,1,66,0,0.406019," ","integrate((x^2+1)^(2/3)/x^3,x, algorithm=""maxima"")","\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{2} + 1\right)}^{\frac{1}{3}} + 1\right)}\right) - \frac{{\left(x^{2} + 1\right)}^{\frac{2}{3}}}{2 \, x^{2}} - \frac{1}{6} \, \log\left({\left(x^{2} + 1\right)}^{\frac{2}{3}} + {\left(x^{2} + 1\right)}^{\frac{1}{3}} + 1\right) + \frac{1}{3} \, \log\left({\left(x^{2} + 1\right)}^{\frac{1}{3}} - 1\right)"," ",0,"1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^2 + 1)^(1/3) + 1)) - 1/2*(x^2 + 1)^(2/3)/x^2 - 1/6*log((x^2 + 1)^(2/3) + (x^2 + 1)^(1/3) + 1) + 1/3*log((x^2 + 1)^(1/3) - 1)","A",0
1179,1,63,0,0.414311," ","integrate((x^2+1)^(2/3)/x,x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{2} + 1\right)}^{\frac{1}{3}} + 1\right)}\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(1/3*sqrt(3)*(2*(x^2 + 1)^(1/3) + 1)) + 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
1180,0,0,0,0.000000," ","integrate((3+4*x)*(-2*x^4+2*x^2+x)^(1/2)/(1+2*x)/(x^3+2*x+1),x, algorithm=""maxima"")","\int \frac{\sqrt{-2 \, x^{4} + 2 \, x^{2} + x} {\left(4 \, x + 3\right)}}{{\left(x^{3} + 2 \, x + 1\right)} {\left(2 \, x + 1\right)}}\,{d x}"," ",0,"integrate(sqrt(-2*x^4 + 2*x^2 + x)*(4*x + 3)/((x^3 + 2*x + 1)*(2*x + 1)), x)","F",0
1181,1,63,0,0.435858," ","integrate((x^4+1)^(2/3)/x,x, algorithm=""maxima"")","\frac{1}{4} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{4} + 1\right)}^{\frac{1}{3}} + 1\right)}\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(1/3*sqrt(3)*(2*(x^4 + 1)^(1/3) + 1)) + 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
1182,0,0,0,0.000000," ","integrate((x^4-1)^(1/3)*(x^4+3)/x^2/(x^4-x^3-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + 3\right)} {\left(x^{4} - 1\right)}^{\frac{1}{3}}}{{\left(x^{4} - x^{3} - 1\right)} x^{2}}\,{d x}"," ",0,"integrate((x^4 + 3)*(x^4 - 1)^(1/3)/((x^4 - x^3 - 1)*x^2), x)","F",0
1183,0,0,0,0.000000," ","integrate(x^2*(x^3+4)/(x^3+1)^(3/4)/(x^4+x^3+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} + 4\right)} x^{2}}{{\left(x^{4} + x^{3} + 1\right)} {\left(x^{3} + 1\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((x^3 + 4)*x^2/((x^4 + x^3 + 1)*(x^3 + 1)^(3/4)), x)","F",0
1184,0,0,0,0.000000," ","integrate(x^2/(a*x^4-b)^(3/4)/(a*x^4+b),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(a x^{4} + b\right)} {\left(a x^{4} - b\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(x^2/((a*x^4 + b)*(a*x^4 - b)^(3/4)), x)","F",0
1185,0,0,0,0.000000," ","integrate(1/(a*x^4-b)^(1/4)/(a*x^4+b),x, algorithm=""maxima"")","\int \frac{1}{{\left(a x^{4} + b\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((a*x^4 + b)*(a*x^4 - b)^(1/4)), x)","F",0
1186,0,0,0,0.000000," ","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=""maxima"")","\int \frac{a^{2} b - {\left(2 \, a + b\right)} a x + 3 \, a x^{2} - x^{3}}{{\left(2 \, b d x^{3} - d x^{4} - {\left(b^{2} d - 1\right)} x^{2} + a^{2} - 2 \, a x\right)} \sqrt{{\left(a - x\right)} {\left(b - x\right)} x}}\,{d x}"," ",0,"integrate((a^2*b - (2*a + b)*a*x + 3*a*x^2 - x^3)/((2*b*d*x^3 - d*x^4 - (b^2*d - 1)*x^2 + a^2 - 2*a*x)*sqrt((a - x)*(b - x)*x)), x)","F",0
1187,0,0,0,0.000000," ","integrate((k^2*x^4+1)/((-x^2+1)*(-k^2*x^2+1))^(1/2)/(k^2*x^4-1),x, algorithm=""maxima"")","\int \frac{k^{2} x^{4} + 1}{{\left(k^{2} x^{4} - 1\right)} \sqrt{{\left(k^{2} x^{2} - 1\right)} {\left(x^{2} - 1\right)}}}\,{d x}"," ",0,"integrate((k^2*x^4 + 1)/((k^2*x^4 - 1)*sqrt((k^2*x^2 - 1)*(x^2 - 1))), x)","F",0
1188,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left({\left(2 \, k - 1\right)} x - 1\right)} {\left(k x - 1\right)} x}{{\left({\left(b k^{2} + c k - 1\right)} x^{4} - {\left(2 \, b k + 2 \, c k + c - 4\right)} x^{3} + {\left(c k + b + 2 \, c - 6\right)} x^{2} - {\left(c - 4\right)} x - 1\right)} \left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(((2*k - 1)*x - 1)*(k*x - 1)*x/(((b*k^2 + c*k - 1)*x^4 - (2*b*k + 2*c*k + c - 4)*x^3 + (c*k + b + 2*c - 6)*x^2 - (c - 4)*x - 1)*((k*x - 1)*(x - 1)*x)^(1/3)), x)","F",0
1189,1,63,0,0.450811," ","integrate((x^5+1)^(2/3)/x,x, algorithm=""maxima"")","\frac{1}{5} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{5} + 1\right)}^{\frac{1}{3}} + 1\right)}\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(1/3*sqrt(3)*(2*(x^5 + 1)^(1/3) + 1)) + 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
1190,1,63,0,0.419153," ","integrate((x^6+1)^(2/3)/x,x, algorithm=""maxima"")","\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{6} + 1\right)}^{\frac{1}{3}} + 1\right)}\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(1/3*sqrt(3)*(2*(x^6 + 1)^(1/3) + 1)) + 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
1191,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{-x^{6} - x^{4} - x^{2} + 1} {\left(2 \, x^{4} - x^{2} + 1\right)}}{{\left(x^{6} + x^{4} - 1\right)} {\left(x^{2} + 1\right)} {\left(x^{2} - 1\right)}}\,{d x}"," ",0,"integrate(sqrt(-x^6 - x^4 - x^2 + 1)*(2*x^4 - x^2 + 1)/((x^6 + x^4 - 1)*(x^2 + 1)*(x^2 - 1)), x)","F",0
1192,0,0,0,0.000000," ","integrate((x^8-1)^(1/3)*(5*x^8+3)/x^2/(x^8-x^3-1),x, algorithm=""maxima"")","\int \frac{{\left(5 \, x^{8} + 3\right)} {\left(x^{8} - 1\right)}^{\frac{1}{3}}}{{\left(x^{8} - x^{3} - 1\right)} x^{2}}\,{d x}"," ",0,"integrate((5*x^8 + 3)*(x^8 - 1)^(1/3)/((x^8 - x^3 - 1)*x^2), x)","F",0
1193,1,62,0,0.448141," ","integrate((x^8+2)*(x^16-2*x^8+4)^(1/2)/x^9,x, algorithm=""maxima"")","\frac{1}{8} \, \sqrt{x^{16} - 2 \, x^{8} + 4} - \frac{\sqrt{x^{16} - 2 \, x^{8} + 4}}{4 \, x^{8}} + \frac{1}{8} \, \operatorname{arsinh}\left(\frac{1}{3} \, \sqrt{3} {\left(x^{8} - 1\right)}\right) - \frac{1}{8} \, \operatorname{arsinh}\left(-\frac{1}{3} \, \sqrt{3} + \frac{4 \, \sqrt{3}}{3 \, x^{8}}\right)"," ",0,"1/8*sqrt(x^16 - 2*x^8 + 4) - 1/4*sqrt(x^16 - 2*x^8 + 4)/x^8 + 1/8*arcsinh(1/3*sqrt(3)*(x^8 - 1)) - 1/8*arcsinh(-1/3*sqrt(3) + 4/3*sqrt(3)/x^8)","A",0
1194,0,0,0,0.000000," ","integrate((x+(1+x)^(1/2))^(1/2)/(1-(1+x)^(1/2)),x, algorithm=""maxima"")","-\int \frac{\sqrt{x + \sqrt{x + 1}}}{\sqrt{x + 1} - 1}\,{d x}"," ",0,"-integrate(sqrt(x + sqrt(x + 1))/(sqrt(x + 1) - 1), x)","F",0
1195,1,88,0,0.414368," ","integrate((c+(a*x+b)^(1/2))^(1/2)/(d-(a*x+b)^(1/2)),x, algorithm=""maxima"")","-\frac{2 \, {\left(2 \, {\left(c + \sqrt{a x + b}\right)}^{\frac{3}{2}} + 6 \, \sqrt{c + \sqrt{a x + b}} d + \frac{3 \, {\left(c d + d^{2}\right)} \log\left(-\frac{\sqrt{c + d} - \sqrt{c + \sqrt{a x + b}}}{\sqrt{c + d} + \sqrt{c + \sqrt{a x + b}}}\right)}{\sqrt{c + d}}\right)}}{3 \, a}"," ",0,"-2/3*(2*(c + sqrt(a*x + b))^(3/2) + 6*sqrt(c + sqrt(a*x + b))*d + 3*(c*d + d^2)*log(-(sqrt(c + d) - sqrt(c + sqrt(a*x + b)))/(sqrt(c + d) + sqrt(c + sqrt(a*x + b))))/sqrt(c + d))/a","A",0
1196,0,0,0,0.000000," ","integrate((a*x^2+b^2)*(b+(a*x^2+b^2)^(1/2))^(1/2),x, algorithm=""maxima"")","\int {\left(a x^{2} + b^{2}\right)} \sqrt{b + \sqrt{a x^{2} + b^{2}}}\,{d x}"," ",0,"integrate((a*x^2 + b^2)*sqrt(b + sqrt(a*x^2 + b^2)), x)","F",0
1197,0,0,0,0.000000," ","integrate(1/(x+(x+(x^2+1)^(1/2))^(1/2)),x, algorithm=""maxima"")","\int \frac{1}{x + \sqrt{x + \sqrt{x^{2} + 1}}}\,{d x}"," ",0,"integrate(1/(x + sqrt(x + sqrt(x^2 + 1))), x)","F",0
1198,0,0,0,0.000000," ","integrate(1/(x+(x+(x^2+1)^(1/2))^(1/2)),x, algorithm=""maxima"")","\int \frac{1}{x + \sqrt{x + \sqrt{x^{2} + 1}}}\,{d x}"," ",0,"integrate(1/(x + sqrt(x + sqrt(x^2 + 1))), x)","F",0
1199,0,0,0,0.000000," ","integrate(1/(-2+x)/(x^2-4*x-4)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{2} - 4 \, x - 4\right)}^{\frac{1}{3}} {\left(x - 2\right)}}\,{d x}"," ",0,"integrate(1/((x^2 - 4*x - 4)^(1/3)*(x - 2)), x)","F",0
1200,0,0,0,0.000000," ","integrate((k*x^2-1)/(b*x+a)/((1-x)*x*(-k*x+1))^(1/2)/(a*k*x+b),x, algorithm=""maxima"")","\int \frac{k x^{2} - 1}{{\left(a k x + b\right)} \sqrt{{\left(k x - 1\right)} {\left(x - 1\right)} x} {\left(b x + a\right)}}\,{d x}"," ",0,"integrate((k*x^2 - 1)/((a*k*x + b)*sqrt((k*x - 1)*(x - 1)*x)*(b*x + a)), x)","F",0
1201,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a b - 2 \, a x + x^{2}\right)} {\left(b - x\right)} x}{{\left(2 \, b d x^{3} - d x^{4} - {\left(b^{2} d - 1\right)} x^{2} + a^{2} - 2 \, a x\right)} \sqrt{{\left(a - x\right)} {\left(b - x\right)} x}}\,{d x}"," ",0,"integrate((a*b - 2*a*x + x^2)*(b - x)*x/((2*b*d*x^3 - d*x^4 - (b^2*d - 1)*x^2 + a^2 - 2*a*x)*sqrt((a - x)*(b - x)*x)), x)","F",0
1202,0,0,0,0.000000," ","integrate((x^4+1)/(x^4-x^2-1)/(x^5-x)^(1/3),x, algorithm=""maxima"")","\int \frac{x^{4} + 1}{{\left(x^{5} - x\right)}^{\frac{1}{3}} {\left(x^{4} - x^{2} - 1\right)}}\,{d x}"," ",0,"integrate((x^4 + 1)/((x^5 - x)^(1/3)*(x^4 - x^2 - 1)), x)","F",0
1203,1,69,0,0.491491," ","integrate(x^3/(x^6-1)^(2/3),x, algorithm=""maxima"")","\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}} + 1\right)}\right) + \frac{1}{12} \, \log\left(\frac{{\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}} + \frac{{\left(x^{6} - 1\right)}^{\frac{2}{3}}}{x^{4}} + 1\right) - \frac{1}{6} \, \log\left(\frac{{\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}} - 1\right)"," ",0,"1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^6 - 1)^(1/3)/x^2 + 1)) + 1/12*log((x^6 - 1)^(1/3)/x^2 + (x^6 - 1)^(2/3)/x^4 + 1) - 1/6*log((x^6 - 1)^(1/3)/x^2 - 1)","A",0
1204,1,69,0,0.404892," ","integrate(x/(x^6-1)^(1/3),x, algorithm=""maxima"")","-\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}} + 1\right)}\right) + \frac{1}{12} \, \log\left(\frac{{\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}} + \frac{{\left(x^{6} - 1\right)}^{\frac{2}{3}}}{x^{4}} + 1\right) - \frac{1}{6} \, \log\left(\frac{{\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}} - 1\right)"," ",0,"-1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^6 - 1)^(1/3)/x^2 + 1)) + 1/12*log((x^6 - 1)^(1/3)/x^2 + (x^6 - 1)^(2/3)/x^4 + 1) - 1/6*log((x^6 - 1)^(1/3)/x^2 - 1)","A",0
1205,1,69,0,0.447783," ","integrate(x^3/(x^6+1)^(2/3),x, algorithm=""maxima"")","\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{6} + 1\right)}^{\frac{1}{3}}}{x^{2}} + 1\right)}\right) + \frac{1}{12} \, \log\left(\frac{{\left(x^{6} + 1\right)}^{\frac{1}{3}}}{x^{2}} + \frac{{\left(x^{6} + 1\right)}^{\frac{2}{3}}}{x^{4}} + 1\right) - \frac{1}{6} \, \log\left(\frac{{\left(x^{6} + 1\right)}^{\frac{1}{3}}}{x^{2}} - 1\right)"," ",0,"1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^6 + 1)^(1/3)/x^2 + 1)) + 1/12*log((x^6 + 1)^(1/3)/x^2 + (x^6 + 1)^(2/3)/x^4 + 1) - 1/6*log((x^6 + 1)^(1/3)/x^2 - 1)","A",0
1206,1,69,0,0.439375," ","integrate(x/(x^6+1)^(1/3),x, algorithm=""maxima"")","-\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{6} + 1\right)}^{\frac{1}{3}}}{x^{2}} + 1\right)}\right) + \frac{1}{12} \, \log\left(\frac{{\left(x^{6} + 1\right)}^{\frac{1}{3}}}{x^{2}} + \frac{{\left(x^{6} + 1\right)}^{\frac{2}{3}}}{x^{4}} + 1\right) - \frac{1}{6} \, \log\left(\frac{{\left(x^{6} + 1\right)}^{\frac{1}{3}}}{x^{2}} - 1\right)"," ",0,"-1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^6 + 1)^(1/3)/x^2 + 1)) + 1/12*log((x^6 + 1)^(1/3)/x^2 + (x^6 + 1)^(2/3)/x^4 + 1) - 1/6*log((x^6 + 1)^(1/3)/x^2 - 1)","A",0
1207,1,140,0,0.449834," ","integrate((a*x^8-b)/x^2/(a*x^4-b)^(3/4),x, algorithm=""maxima"")","\frac{1}{16} \, a {\left(\frac{3 \, {\left(\frac{2 \, b \arctan\left(\frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}} x}\right)}{a^{\frac{3}{4}}} - \frac{b \log\left(-\frac{a^{\frac{1}{4}} - \frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}}{a^{\frac{1}{4}} + \frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}}\right)}{a^{\frac{3}{4}}}\right)}}{a} + \frac{4 \, {\left(a x^{4} - b\right)}^{\frac{1}{4}} b}{{\left(a^{2} - \frac{{\left(a x^{4} - b\right)} a}{x^{4}}\right)} x}\right)} - \frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}"," ",0,"1/16*a*(3*(2*b*arctan((a*x^4 - b)^(1/4)/(a^(1/4)*x))/a^(3/4) - b*log(-(a^(1/4) - (a*x^4 - b)^(1/4)/x)/(a^(1/4) + (a*x^4 - b)^(1/4)/x))/a^(3/4))/a + 4*(a*x^4 - b)^(1/4)*b/((a^2 - (a*x^4 - b)*a/x^4)*x)) - (a*x^4 - b)^(1/4)/x","B",0
1208,1,116,0,0.425542," ","integrate((2*a*x^8-3*b)/x^8/(a*x^4-b)^(1/4),x, algorithm=""maxima"")","-\frac{1}{2} \, a {\left(\frac{2 \, \arctan\left(\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}} - \frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}}{a^{\frac{1}{4}} + \frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}}\right)}{a^{\frac{1}{4}}}\right)} - \frac{\frac{7 \, {\left(a x^{4} - b\right)}^{\frac{3}{4}} a}{x^{3}} - \frac{3 \, {\left(a x^{4} - b\right)}^{\frac{7}{4}}}{x^{7}}}{7 \, b}"," ",0,"-1/2*a*(2*arctan((a*x^4 - b)^(1/4)/(a^(1/4)*x))/a^(1/4) + log(-(a^(1/4) - (a*x^4 - b)^(1/4)/x)/(a^(1/4) + (a*x^4 - b)^(1/4)/x))/a^(1/4)) - 1/7*(7*(a*x^4 - b)^(3/4)*a/x^3 - 3*(a*x^4 - b)^(7/4)/x^7)/b","A",0
1209,0,0,0,0.000000," ","integrate((a^2*x^8-b^2)/x^2/(a*x^4+b)^(3/4)/(a^2*x^8+b^2),x, algorithm=""maxima"")","\int \frac{a^{2} x^{8} - b^{2}}{{\left(a^{2} x^{8} + b^{2}\right)} {\left(a x^{4} + b\right)}^{\frac{3}{4}} x^{2}}\,{d x}"," ",0,"integrate((a^2*x^8 - b^2)/((a^2*x^8 + b^2)*(a*x^4 + b)^(3/4)*x^2), x)","F",0
1210,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{a x^{2} + \sqrt{\frac{a^{2} x^{2}}{b^{2}} - \frac{a}{b^{2}}} b x}}{\sqrt{\frac{a^{2} x^{2}}{b^{2}} - \frac{a}{b^{2}}} x}\,{d x}"," ",0,"integrate(sqrt(a*x^2 + sqrt(a^2*x^2/b^2 - a/b^2)*b*x)/(sqrt(a^2*x^2/b^2 - a/b^2)*x), x)","F",0
1211,1,65,0,0.440152," ","integrate((x^2-1)^(2/3)/x,x, algorithm=""maxima"")","-\frac{1}{2} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{2} - 1\right)}^{\frac{1}{3}} - 1\right)}\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(1/3*sqrt(3)*(2*(x^2 - 1)^(1/3) - 1)) + 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
1212,0,0,0,0.000000," ","integrate((-3+x)/(x^2-1)^(1/3)/(x^2+x+2),x, algorithm=""maxima"")","\int \frac{x - 3}{{\left(x^{2} + x + 2\right)} {\left(x^{2} - 1\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((x - 3)/((x^2 + x + 2)*(x^2 - 1)^(1/3)), x)","F",0
1213,0,0,0,0.000000," ","integrate((x^2+2)/(x^2-2*x-2)/(x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} + 2}{\sqrt{x^{3} - 1} {\left(x^{2} - 2 \, x - 2\right)}}\,{d x}"," ",0,"integrate((x^2 + 2)/(sqrt(x^3 - 1)*(x^2 - 2*x - 2)), x)","F",0
1214,1,72,0,0.439125," ","integrate((x^3-1)*(x^3+1)^(1/3)/x,x, algorithm=""maxima"")","\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{3} + 1\right)}^{\frac{1}{3}} + 1\right)}\right) + \frac{1}{4} \, {\left(x^{3} + 1\right)}^{\frac{4}{3}} - {\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(1/3*sqrt(3)*(2*(x^3 + 1)^(1/3) + 1)) + 1/4*(x^3 + 1)^(4/3) - (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
1215,0,0,0,0.000000," ","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=""maxima"")","\int \frac{a b - 2 \, {\left(a - b\right)} x - x^{2}}{{\left(a^{3} + {\left(3 \, a + d\right)} x^{2} - x^{3} - {\left(3 \, a^{2} + b d\right)} x\right)} \left({\left(a - x\right)} {\left(b - x\right)} x\right)^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((a*b - 2*(a - b)*x - x^2)/((a^3 + (3*a + d)*x^2 - x^3 - (3*a^2 + b*d)*x)*((a - x)*(b - x)*x)^(1/4)), x)","F",0
1216,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(k x^{2} + 2 \, {\left(k - 1\right)} x - 1\right)} {\left(x^{2} - 2 \, x + 1\right)}}{{\left(d x^{3} - {\left(3 \, d + k\right)} x^{2} + {\left(3 \, d + 1\right)} x - d\right)} \left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((k*x^2 + 2*(k - 1)*x - 1)*(x^2 - 2*x + 1)/((d*x^3 - (3*d + k)*x^2 + (3*d + 1)*x - d)*((k*x - 1)*(x - 1)*x)^(3/4)), x)","F",0
1217,0,0,0,0.000000," ","integrate(x^2/(x^3+x^2+x)^(1/2)/(x^4-1),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(x^{4} - 1\right)} \sqrt{x^{3} + x^{2} + x}}\,{d x}"," ",0,"integrate(x^2/((x^4 - 1)*sqrt(x^3 + x^2 + x)), x)","F",0
1218,0,0,0,0.000000," ","integrate((x^3+x^2+x)^(1/2)/(x^4-1),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{3} + x^{2} + x}}{x^{4} - 1}\,{d x}"," ",0,"integrate(sqrt(x^3 + x^2 + x)/(x^4 - 1), x)","F",0
1219,1,65,0,0.562162," ","integrate((x^4-1)^(2/3)/x,x, algorithm=""maxima"")","-\frac{1}{4} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{4} - 1\right)}^{\frac{1}{3}} - 1\right)}\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(1/3*sqrt(3)*(2*(x^4 - 1)^(1/3) - 1)) + 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
1220,0,0,0,0.000000," ","integrate((x^4-x^2+1)/(x^3+x^2+x)^(1/2)/(x^4-1),x, algorithm=""maxima"")","\int \frac{x^{4} - x^{2} + 1}{{\left(x^{4} - 1\right)} \sqrt{x^{3} + x^{2} + x}}\,{d x}"," ",0,"integrate((x^4 - x^2 + 1)/((x^4 - 1)*sqrt(x^3 + x^2 + x)), x)","F",0
1221,0,0,0,0.000000," ","integrate((x^2-x+1)/(x^2-1)/(x^4-x^3+x^2-x+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} - x + 1}{\sqrt{x^{4} - x^{3} + x^{2} - x + 1} {\left(x^{2} - 1\right)}}\,{d x}"," ",0,"integrate((x^2 - x + 1)/(sqrt(x^4 - x^3 + x^2 - x + 1)*(x^2 - 1)), x)","F",0
1222,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(2 \, x^{3} - 2 \, x^{2} + x\right)} {\left(x - 1\right)}^{2}}{{\left(2 \, x^{4} - 4 \, x^{3} + 3 \, x^{2} + 4 \, x - 2\right)} {\left(2 \, x - 1\right)} \sqrt{-\frac{2 \, x - 1}{2 \, x^{2} + 1}}}\,{d x}"," ",0,"integrate((2*x^3 - 2*x^2 + x)*(x - 1)^2/((2*x^4 - 4*x^3 + 3*x^2 + 4*x - 2)*(2*x - 1)*sqrt(-(2*x - 1)/(2*x^2 + 1))), x)","F",0
1223,1,65,0,0.412945," ","integrate((x^5-1)^(2/3)/x,x, algorithm=""maxima"")","-\frac{1}{5} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{5} - 1\right)}^{\frac{1}{3}} - 1\right)}\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(1/3*sqrt(3)*(2*(x^5 - 1)^(1/3) - 1)) + 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
1224,1,65,0,0.409623," ","integrate((x^6-1)^(2/3)/x,x, algorithm=""maxima"")","-\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{6} - 1\right)}^{\frac{1}{3}} - 1\right)}\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(1/3*sqrt(3)*(2*(x^6 - 1)^(1/3) - 1)) + 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
1225,0,0,0,0.000000," ","integrate((a*x^2+(a^2*x^4+b)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}\,{d x}"," ",0,"integrate(sqrt(a*x^2 + sqrt(a^2*x^4 + b)), x)","F",0
1226,1,68,0,0.413669," ","integrate((x^2-1)^(2/3)/x^3,x, algorithm=""maxima"")","\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{2} - 1\right)}^{\frac{1}{3}} - 1\right)}\right) - \frac{{\left(x^{2} - 1\right)}^{\frac{2}{3}}}{2 \, x^{2}} + \frac{1}{6} \, \log\left({\left(x^{2} - 1\right)}^{\frac{2}{3}} - {\left(x^{2} - 1\right)}^{\frac{1}{3}} + 1\right) - \frac{1}{3} \, \log\left({\left(x^{2} - 1\right)}^{\frac{1}{3}} + 1\right)"," ",0,"1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^2 - 1)^(1/3) - 1)) - 1/2*(x^2 - 1)^(2/3)/x^2 + 1/6*log((x^2 - 1)^(2/3) - (x^2 - 1)^(1/3) + 1) - 1/3*log((x^2 - 1)^(1/3) + 1)","A",0
1227,0,0,0,0.000000," ","integrate((x^2+x-2)/x^2/(x^2-1)^(3/4),x, algorithm=""maxima"")","\int \frac{x^{2} + x - 2}{{\left(x^{2} - 1\right)}^{\frac{3}{4}} x^{2}}\,{d x}"," ",0,"integrate((x^2 + x - 2)/((x^2 - 1)^(3/4)*x^2), x)","F",0
1228,1,66,0,0.438632," ","integrate((x^3+1)^(1/3)/x^4,x, algorithm=""maxima"")","-\frac{1}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{3} + 1\right)}^{\frac{1}{3}} + 1\right)}\right) - \frac{{\left(x^{3} + 1\right)}^{\frac{1}{3}}}{3 \, x^{3}} - \frac{1}{18} \, \log\left({\left(x^{3} + 1\right)}^{\frac{2}{3}} + {\left(x^{3} + 1\right)}^{\frac{1}{3}} + 1\right) + \frac{1}{9} \, \log\left({\left(x^{3} + 1\right)}^{\frac{1}{3}} - 1\right)"," ",0,"-1/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^3 + 1)^(1/3) + 1)) - 1/3*(x^3 + 1)^(1/3)/x^3 - 1/18*log((x^3 + 1)^(2/3) + (x^3 + 1)^(1/3) + 1) + 1/9*log((x^3 + 1)^(1/3) - 1)","A",0
1229,1,66,0,0.492581," ","integrate((x^3+1)^(2/3)/x^4,x, algorithm=""maxima"")","\frac{2}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{3} + 1\right)}^{\frac{1}{3}} + 1\right)}\right) - \frac{{\left(x^{3} + 1\right)}^{\frac{2}{3}}}{3 \, x^{3}} - \frac{1}{9} \, \log\left({\left(x^{3} + 1\right)}^{\frac{2}{3}} + {\left(x^{3} + 1\right)}^{\frac{1}{3}} + 1\right) + \frac{2}{9} \, \log\left({\left(x^{3} + 1\right)}^{\frac{1}{3}} - 1\right)"," ",0,"2/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^3 + 1)^(1/3) + 1)) - 1/3*(x^3 + 1)^(2/3)/x^3 - 1/9*log((x^3 + 1)^(2/3) + (x^3 + 1)^(1/3) + 1) + 2/9*log((x^3 + 1)^(1/3) - 1)","A",0
1230,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(k + 1\right)} {\left(k - 1\right)} x - 2 \, k x^{2} + 2 \, k}{{\left({\left(k^{2} - d\right)} k x^{3} + {\left(d + 3\right)} k x - {\left(3 \, k^{2} + d\right)} x^{2} + d - 1\right)} \left({\left(k^{2} x^{2} - 1\right)} {\left(x^{2} - 1\right)}\right)^{\frac{1}{4}}}\,{d x}"," ",0,"-integrate(((k + 1)*(k - 1)*x - 2*k*x^2 + 2*k)/(((k^2 - d)*k*x^3 + (d + 3)*k*x - (3*k^2 + d)*x^2 + d - 1)*((k^2*x^2 - 1)*(x^2 - 1))^(1/4)), x)","F",0
1231,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(k + 1\right)} {\left(k - 1\right)} x + 2 \, k x^{2} - 2 \, k}{{\left({\left(k^{2} - d\right)} k x^{3} + {\left(d + 3\right)} k x + {\left(3 \, k^{2} + d\right)} x^{2} - d + 1\right)} \left({\left(k^{2} x^{2} - 1\right)} {\left(x^{2} - 1\right)}\right)^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(((k + 1)*(k - 1)*x + 2*k*x^2 - 2*k)/(((k^2 - d)*k*x^3 + (d + 3)*k*x + (3*k^2 + d)*x^2 - d + 1)*((k^2*x^2 - 1)*(x^2 - 1))^(1/4)), x)","F",0
1232,1,80,0,0.447906," ","integrate((x^2+1)*(-2*x^4+1)^(1/2)/x^5,x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{2} \arctan\left(\frac{\sqrt{2} \sqrt{-2 \, x^{4} + 1}}{2 \, x^{2}}\right) - \frac{\sqrt{-2 \, x^{4} + 1}}{2 \, x^{2}} - \frac{\sqrt{-2 \, x^{4} + 1}}{4 \, x^{4}} + \frac{1}{4} \, \log\left(\sqrt{-2 \, x^{4} + 1} + 1\right) - \frac{1}{4} \, \log\left(\sqrt{-2 \, x^{4} + 1} - 1\right)"," ",0,"1/2*sqrt(2)*arctan(1/2*sqrt(2)*sqrt(-2*x^4 + 1)/x^2) - 1/2*sqrt(-2*x^4 + 1)/x^2 - 1/4*sqrt(-2*x^4 + 1)/x^4 + 1/4*log(sqrt(-2*x^4 + 1) + 1) - 1/4*log(sqrt(-2*x^4 + 1) - 1)","A",0
1233,1,66,0,0.413626," ","integrate((x^4+1)^(2/3)/x^5,x, algorithm=""maxima"")","\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{4} + 1\right)}^{\frac{1}{3}} + 1\right)}\right) - \frac{{\left(x^{4} + 1\right)}^{\frac{2}{3}}}{4 \, x^{4}} - \frac{1}{12} \, \log\left({\left(x^{4} + 1\right)}^{\frac{2}{3}} + {\left(x^{4} + 1\right)}^{\frac{1}{3}} + 1\right) + \frac{1}{6} \, \log\left({\left(x^{4} + 1\right)}^{\frac{1}{3}} - 1\right)"," ",0,"1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^4 + 1)^(1/3) + 1)) - 1/4*(x^4 + 1)^(2/3)/x^4 - 1/12*log((x^4 + 1)^(2/3) + (x^4 + 1)^(1/3) + 1) + 1/6*log((x^4 + 1)^(1/3) - 1)","A",0
1234,0,0,0,0.000000," ","integrate((x^4-3)*(x^4+1)^(2/3)/x^3/(x^4-x^3+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + 1\right)}^{\frac{2}{3}} {\left(x^{4} - 3\right)}}{{\left(x^{4} - x^{3} + 1\right)} x^{3}}\,{d x}"," ",0,"integrate((x^4 + 1)^(2/3)*(x^4 - 3)/((x^4 - x^3 + 1)*x^3), x)","F",0
1235,0,0,0,0.000000," ","integrate((x^4-1)^(1/3)*(x^4+3)/x^2/(x^4+x^3-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + 3\right)} {\left(x^{4} - 1\right)}^{\frac{1}{3}}}{{\left(x^{4} + x^{3} - 1\right)} x^{2}}\,{d x}"," ",0,"integrate((x^4 + 3)*(x^4 - 1)^(1/3)/((x^4 + x^3 - 1)*x^2), x)","F",0
1236,0,0,0,0.000000," ","integrate((x^4-1)^(2/3)*(x^4+3)/x^3/(x^4+x^3-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + 3\right)} {\left(x^{4} - 1\right)}^{\frac{2}{3}}}{{\left(x^{4} + x^{3} - 1\right)} x^{3}}\,{d x}"," ",0,"integrate((x^4 + 3)*(x^4 - 1)^(2/3)/((x^4 + x^3 - 1)*x^3), x)","F",0
1237,0,0,0,0.000000," ","integrate((x^4-3)*(x^4+1)^(1/3)/x^2/(x^4+x^3+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + 1\right)}^{\frac{1}{3}} {\left(x^{4} - 3\right)}}{{\left(x^{4} + x^{3} + 1\right)} x^{2}}\,{d x}"," ",0,"integrate((x^4 + 1)^(1/3)*(x^4 - 3)/((x^4 + x^3 + 1)*x^2), x)","F",0
1238,0,0,0,0.000000," ","integrate((4+3*x)*(x^4-x-1)*(2*x^4-x-1)^(1/4)/x^6/(x^4+x+1),x, algorithm=""maxima"")","\int \frac{{\left(2 \, x^{4} - x - 1\right)}^{\frac{1}{4}} {\left(x^{4} - x - 1\right)} {\left(3 \, x + 4\right)}}{{\left(x^{4} + x + 1\right)} x^{6}}\,{d x}"," ",0,"integrate((2*x^4 - x - 1)^(1/4)*(x^4 - x - 1)*(3*x + 4)/((x^4 + x + 1)*x^6), x)","F",0
1239,0,0,0,0.000000," ","integrate((3*x^4+1)^(1/2)/(3*x^4-1),x, algorithm=""maxima"")","\int \frac{\sqrt{3 \, x^{4} + 1}}{3 \, x^{4} - 1}\,{d x}"," ",0,"integrate(sqrt(3*x^4 + 1)/(3*x^4 - 1), x)","F",0
1240,0,0,0,0.000000," ","integrate((a*x^2+b)*(a*x^4-b*x^2)^(1/4)/(a*x^2-b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{2} + b\right)}}{a x^{2} - b}\,{d x}"," ",0,"integrate((a*x^4 - b*x^2)^(1/4)*(a*x^2 + b)/(a*x^2 - b), x)","F",0
1241,0,0,0,0.000000," ","integrate((2*a*x^2-b)/(a*x^2+b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{2 \, a x^{2} - b}{{\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{2} + b\right)}}\,{d x}"," ",0,"integrate((2*a*x^2 - b)/((a*x^4 + b*x^2)^(1/4)*(a*x^2 + b)), x)","F",0
1242,1,66,0,0.418305," ","integrate((x^5+1)^(2/3)/x^6,x, algorithm=""maxima"")","\frac{2}{15} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{5} + 1\right)}^{\frac{1}{3}} + 1\right)}\right) - \frac{{\left(x^{5} + 1\right)}^{\frac{2}{3}}}{5 \, x^{5}} - \frac{1}{15} \, \log\left({\left(x^{5} + 1\right)}^{\frac{2}{3}} + {\left(x^{5} + 1\right)}^{\frac{1}{3}} + 1\right) + \frac{2}{15} \, \log\left({\left(x^{5} + 1\right)}^{\frac{1}{3}} - 1\right)"," ",0,"2/15*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^5 + 1)^(1/3) + 1)) - 1/5*(x^5 + 1)^(2/3)/x^5 - 1/15*log((x^5 + 1)^(2/3) + (x^5 + 1)^(1/3) + 1) + 2/15*log((x^5 + 1)^(1/3) - 1)","A",0
1243,0,0,0,0.000000," ","integrate((x^5+1)^(2/3)*(2*x^5-3)/x^3/(x^5-x^3+1),x, algorithm=""maxima"")","\int \frac{{\left(2 \, x^{5} - 3\right)} {\left(x^{5} + 1\right)}^{\frac{2}{3}}}{{\left(x^{5} - x^{3} + 1\right)} x^{3}}\,{d x}"," ",0,"integrate((2*x^5 - 3)*(x^5 + 1)^(2/3)/((x^5 - x^3 + 1)*x^3), x)","F",0
1244,0,0,0,0.000000," ","integrate((x^5-1)^(2/3)*(2*x^5+3)/x^3/(x^5-x^3-1),x, algorithm=""maxima"")","\int \frac{{\left(2 \, x^{5} + 3\right)} {\left(x^{5} - 1\right)}^{\frac{2}{3}}}{{\left(x^{5} - x^{3} - 1\right)} x^{3}}\,{d x}"," ",0,"integrate((2*x^5 + 3)*(x^5 - 1)^(2/3)/((x^5 - x^3 - 1)*x^3), x)","F",0
1245,1,111,0,0.410947," ","integrate((x^6-1)^(1/4)/x,x, algorithm=""maxima"")","-\frac{1}{6} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, {\left(x^{6} - 1\right)}^{\frac{1}{4}}\right)}\right) - \frac{1}{6} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, {\left(x^{6} - 1\right)}^{\frac{1}{4}}\right)}\right) - \frac{1}{12} \, \sqrt{2} \log\left(\sqrt{2} {\left(x^{6} - 1\right)}^{\frac{1}{4}} + \sqrt{x^{6} - 1} + 1\right) + \frac{1}{12} \, \sqrt{2} \log\left(-\sqrt{2} {\left(x^{6} - 1\right)}^{\frac{1}{4}} + \sqrt{x^{6} - 1} + 1\right) + \frac{2}{3} \, {\left(x^{6} - 1\right)}^{\frac{1}{4}}"," ",0,"-1/6*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*(x^6 - 1)^(1/4))) - 1/6*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*(x^6 - 1)^(1/4))) - 1/12*sqrt(2)*log(sqrt(2)*(x^6 - 1)^(1/4) + sqrt(x^6 - 1) + 1) + 1/12*sqrt(2)*log(-sqrt(2)*(x^6 - 1)^(1/4) + sqrt(x^6 - 1) + 1) + 2/3*(x^6 - 1)^(1/4)","A",0
1246,1,66,0,0.418451," ","integrate(1/x^7/(x^6+1)^(1/3),x, algorithm=""maxima"")","-\frac{1}{18} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{6} + 1\right)}^{\frac{1}{3}} + 1\right)}\right) - \frac{{\left(x^{6} + 1\right)}^{\frac{2}{3}}}{6 \, x^{6}} + \frac{1}{36} \, \log\left({\left(x^{6} + 1\right)}^{\frac{2}{3}} + {\left(x^{6} + 1\right)}^{\frac{1}{3}} + 1\right) - \frac{1}{18} \, \log\left({\left(x^{6} + 1\right)}^{\frac{1}{3}} - 1\right)"," ",0,"-1/18*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^6 + 1)^(1/3) + 1)) - 1/6*(x^6 + 1)^(2/3)/x^6 + 1/36*log((x^6 + 1)^(2/3) + (x^6 + 1)^(1/3) + 1) - 1/18*log((x^6 + 1)^(1/3) - 1)","A",0
1247,1,66,0,0.411038," ","integrate((x^6+1)^(2/3)/x^7,x, algorithm=""maxima"")","\frac{1}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{6} + 1\right)}^{\frac{1}{3}} + 1\right)}\right) - \frac{{\left(x^{6} + 1\right)}^{\frac{2}{3}}}{6 \, x^{6}} - \frac{1}{18} \, \log\left({\left(x^{6} + 1\right)}^{\frac{2}{3}} + {\left(x^{6} + 1\right)}^{\frac{1}{3}} + 1\right) + \frac{1}{9} \, \log\left({\left(x^{6} + 1\right)}^{\frac{1}{3}} - 1\right)"," ",0,"1/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^6 + 1)^(1/3) + 1)) - 1/6*(x^6 + 1)^(2/3)/x^6 - 1/18*log((x^6 + 1)^(2/3) + (x^6 + 1)^(1/3) + 1) + 1/9*log((x^6 + 1)^(1/3) - 1)","A",0
1248,0,0,0,0.000000," ","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=""maxima"")","\int \frac{2 \, k^{2} x^{3} + {\left(k^{2} - 3\right)} x}{{\left(x^{6} - 3 \, x^{4} - {\left(d k^{2} - 3\right)} x^{2} + d - 1\right)} \left({\left(k^{2} x^{2} - 1\right)} {\left(x^{2} - 1\right)}\right)^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((2*k^2*x^3 + (k^2 - 3)*x)/((x^6 - 3*x^4 - (d*k^2 - 3)*x^2 + d - 1)*((k^2*x^2 - 1)*(x^2 - 1))^(1/4)), x)","F",0
1249,0,0,0,0.000000," ","integrate((x^7-1)^(2/3)*(4*x^7+3)/x^3/(x^7+x^3-1),x, algorithm=""maxima"")","\int \frac{{\left(4 \, x^{7} + 3\right)} {\left(x^{7} - 1\right)}^{\frac{2}{3}}}{{\left(x^{7} + x^{3} - 1\right)} x^{3}}\,{d x}"," ",0,"integrate((4*x^7 + 3)*(x^7 - 1)^(2/3)/((x^7 + x^3 - 1)*x^3), x)","F",0
1250,0,0,0,0.000000," ","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=""maxima"")","\int \frac{x}{\sqrt{a^{2} x^{2} - b x} {\left(a x^{2} + \sqrt{a^{2} x^{2} - b x} x\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x/(sqrt(a^2*x^2 - b*x)*(a*x^2 + sqrt(a^2*x^2 - b*x)*x)^(3/2)), x)","F",0
1251,0,0,0,0.000000," ","integrate((-(a*b)^(1/2)+x)/(x*(a+x)*(b+x))^(1/2)/((a*b)^(1/2)+x),x, algorithm=""maxima"")","\int \frac{x - \sqrt{a b}}{\sqrt{{\left(a + x\right)} {\left(b + x\right)} x} {\left(x + \sqrt{a b}\right)}}\,{d x}"," ",0,"integrate((x - sqrt(a*b))/(sqrt((a + x)*(b + x)*x)*(x + sqrt(a*b))), x)","F",0
1252,0,0,0,0.000000," ","integrate(1/(x^3-x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((x^3 - x^2)^(-1/3), x)","F",0
1253,0,0,0,0.000000," ","integrate((-x^2+3)/(-x^2+1)/(x^4-6*x^2+1)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{2} - 3}{{\left(x^{4} - 6 \, x^{2} + 1\right)}^{\frac{1}{4}} {\left(x^{2} - 1\right)}}\,{d x}"," ",0,"integrate((x^2 - 3)/((x^4 - 6*x^2 + 1)^(1/4)*(x^2 - 1)), x)","F",0
1254,0,0,0,0.000000," ","integrate((x^4-3)/(x^4+1)/(-3*x^5+4*x^4-3*x)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{4} - 3}{{\left(-3 \, x^{5} + 4 \, x^{4} - 3 \, x\right)}^{\frac{1}{4}} {\left(x^{4} + 1\right)}}\,{d x}"," ",0,"integrate((x^4 - 3)/((-3*x^5 + 4*x^4 - 3*x)^(1/4)*(x^4 + 1)), x)","F",0
1255,0,0,0,0.000000," ","integrate((x^6-1)^(1/3)*(x^6+1)/x^2/(x^6+x^3-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} + 1\right)} {\left(x^{6} - 1\right)}^{\frac{1}{3}}}{{\left(x^{6} + x^{3} - 1\right)} x^{2}}\,{d x}"," ",0,"integrate((x^6 + 1)*(x^6 - 1)^(1/3)/((x^6 + x^3 - 1)*x^2), x)","F",0
1256,0,0,0,0.000000," ","integrate((x^4-1)*(x^4+1)^(1/2)/(x^8+x^6+3*x^4+x^2+1),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{4} + 1} {\left(x^{4} - 1\right)}}{x^{8} + x^{6} + 3 \, x^{4} + x^{2} + 1}\,{d x}"," ",0,"integrate(sqrt(x^4 + 1)*(x^4 - 1)/(x^8 + x^6 + 3*x^4 + x^2 + 1), x)","F",0
1257,0,0,0,0.000000," ","integrate((2*x^8-1)/(x^4+1)^(1/4)/(x^8-1),x, algorithm=""maxima"")","\int \frac{2 \, x^{8} - 1}{{\left(x^{8} - 1\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((2*x^8 - 1)/((x^8 - 1)*(x^4 + 1)^(1/4)), x)","F",0
1258,0,0,0,0.000000," ","integrate((a*x^8+b*x^5)^(1/4),x, algorithm=""maxima"")","\int {\left(a x^{8} + b x^{5}\right)}^{\frac{1}{4}}\,{d x}"," ",0,"integrate((a*x^8 + b*x^5)^(1/4), x)","F",0
1259,0,0,0,0.000000," ","integrate((x-(x^2+1)^(1/2))^(1/2)/(1-(x^2+1)^(1/2)),x, algorithm=""maxima"")","-\int \frac{\sqrt{x - \sqrt{x^{2} + 1}}}{\sqrt{x^{2} + 1} - 1}\,{d x}"," ",0,"-integrate(sqrt(x - sqrt(x^2 + 1))/(sqrt(x^2 + 1) - 1), x)","F",0
1260,0,0,0,0.000000," ","integrate((-1+x)*(3+x)/(x^2-1)^(2/3)/(x^2-x+2),x, algorithm=""maxima"")","\int \frac{{\left(x + 3\right)} {\left(x - 1\right)}}{{\left(x^{2} - x + 2\right)} {\left(x^{2} - 1\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((x + 3)*(x - 1)/((x^2 - x + 2)*(x^2 - 1)^(2/3)), x)","F",0
1261,1,68,0,0.623950," ","integrate((x^3-1)^(1/3)/x^4,x, algorithm=""maxima"")","\frac{1}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}} - 1\right)}\right) - \frac{{\left(x^{3} - 1\right)}^{\frac{1}{3}}}{3 \, x^{3}} - \frac{1}{18} \, \log\left({\left(x^{3} - 1\right)}^{\frac{2}{3}} - {\left(x^{3} - 1\right)}^{\frac{1}{3}} + 1\right) + \frac{1}{9} \, \log\left({\left(x^{3} - 1\right)}^{\frac{1}{3}} + 1\right)"," ",0,"1/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^3 - 1)^(1/3) - 1)) - 1/3*(x^3 - 1)^(1/3)/x^3 - 1/18*log((x^3 - 1)^(2/3) - (x^3 - 1)^(1/3) + 1) + 1/9*log((x^3 - 1)^(1/3) + 1)","A",0
1262,1,68,0,0.940658," ","integrate((x^3-1)^(2/3)/x^4,x, algorithm=""maxima"")","\frac{2}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}} - 1\right)}\right) - \frac{{\left(x^{3} - 1\right)}^{\frac{2}{3}}}{3 \, x^{3}} + \frac{1}{9} \, \log\left({\left(x^{3} - 1\right)}^{\frac{2}{3}} - {\left(x^{3} - 1\right)}^{\frac{1}{3}} + 1\right) - \frac{2}{9} \, \log\left({\left(x^{3} - 1\right)}^{\frac{1}{3}} + 1\right)"," ",0,"2/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^3 - 1)^(1/3) - 1)) - 1/3*(x^3 - 1)^(2/3)/x^3 + 1/9*log((x^3 - 1)^(2/3) - (x^3 - 1)^(1/3) + 1) - 2/9*log((x^3 - 1)^(1/3) + 1)","A",0
1263,1,81,0,1.023933," ","integrate((x^3+1)^(1/3)/x^2,x, algorithm=""maxima"")","\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x} + 1\right)}\right) - \frac{{\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x} + \frac{1}{6} \, \log\left(\frac{{\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x} + \frac{{\left(x^{3} + 1\right)}^{\frac{2}{3}}}{x^{2}} + 1\right) - \frac{1}{3} \, \log\left(\frac{{\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x} - 1\right)"," ",0,"1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^3 + 1)^(1/3)/x + 1)) - (x^3 + 1)^(1/3)/x + 1/6*log((x^3 + 1)^(1/3)/x + (x^3 + 1)^(2/3)/x^2 + 1) - 1/3*log((x^3 + 1)^(1/3)/x - 1)","A",0
1264,0,0,0,0.000000," ","integrate((-1+x)/(1+x)/(x^3+2)^(1/3),x, algorithm=""maxima"")","\int \frac{x - 1}{{\left(x^{3} + 2\right)}^{\frac{1}{3}} {\left(x + 1\right)}}\,{d x}"," ",0,"integrate((x - 1)/((x^3 + 2)^(1/3)*(x + 1)), x)","F",0
1265,1,132,0,0.498537," ","integrate(1/x^7/(a*x^3+b)^(3/4),x, algorithm=""maxima"")","\frac{7 \, {\left(a x^{3} + b\right)}^{\frac{5}{4}} a^{2} - 11 \, {\left(a x^{3} + b\right)}^{\frac{1}{4}} a^{2} b}{24 \, {\left({\left(a x^{3} + b\right)}^{2} b^{2} - 2 \, {\left(a x^{3} + b\right)} b^{3} + b^{4}\right)}} - \frac{7 \, {\left(\frac{2 \, a^{2} \arctan\left(\frac{{\left(a x^{3} + b\right)}^{\frac{1}{4}}}{b^{\frac{1}{4}}}\right)}{b^{\frac{3}{4}}} - \frac{a^{2} \log\left(\frac{{\left(a x^{3} + b\right)}^{\frac{1}{4}} - b^{\frac{1}{4}}}{{\left(a x^{3} + b\right)}^{\frac{1}{4}} + b^{\frac{1}{4}}}\right)}{b^{\frac{3}{4}}}\right)}}{32 \, b^{2}}"," ",0,"1/24*(7*(a*x^3 + b)^(5/4)*a^2 - 11*(a*x^3 + b)^(1/4)*a^2*b)/((a*x^3 + b)^2*b^2 - 2*(a*x^3 + b)*b^3 + b^4) - 7/32*(2*a^2*arctan((a*x^3 + b)^(1/4)/b^(1/4))/b^(3/4) - a^2*log(((a*x^3 + b)^(1/4) - b^(1/4))/((a*x^3 + b)^(1/4) + b^(1/4)))/b^(3/4))/b^2","A",0
1266,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(2 \, k^{2} x^{2} - {\left(k + 1\right)} {\left(k - 1\right)} x - 2\right)} {\left(x^{2} + 2 \, x + 1\right)}}{{\left({\left(k^{2} - d\right)} x^{3} - {\left(k^{2} + 3 \, d\right)} x^{2} - {\left(3 \, d + 1\right)} x - d + 1\right)} \left({\left(k^{2} x^{2} - 1\right)} {\left(x^{2} - 1\right)}\right)^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((2*k^2*x^2 - (k + 1)*(k - 1)*x - 2)*(x^2 + 2*x + 1)/(((k^2 - d)*x^3 - (k^2 + 3*d)*x^2 - (3*d + 1)*x - d + 1)*((k^2*x^2 - 1)*(x^2 - 1))^(3/4)), x)","F",0
1267,1,68,0,0.498938," ","integrate(1/x^5/(x^4-1)^(1/3),x, algorithm=""maxima"")","\frac{1}{12} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{4} - 1\right)}^{\frac{1}{3}} - 1\right)}\right) + \frac{{\left(x^{4} - 1\right)}^{\frac{2}{3}}}{4 \, x^{4}} + \frac{1}{24} \, \log\left({\left(x^{4} - 1\right)}^{\frac{2}{3}} - {\left(x^{4} - 1\right)}^{\frac{1}{3}} + 1\right) - \frac{1}{12} \, \log\left({\left(x^{4} - 1\right)}^{\frac{1}{3}} + 1\right)"," ",0,"1/12*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^4 - 1)^(1/3) - 1)) + 1/4*(x^4 - 1)^(2/3)/x^4 + 1/24*log((x^4 - 1)^(2/3) - (x^4 - 1)^(1/3) + 1) - 1/12*log((x^4 - 1)^(1/3) + 1)","A",0
1268,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a b - 2 \, a x + x^{2}\right)} {\left(b - x\right)} x}{{\left(2 \, b x^{3} - x^{4} + a^{2} d - 2 \, a d x - {\left(b^{2} - d\right)} x^{2}\right)} \sqrt{{\left(a - x\right)} {\left(b - x\right)} x}}\,{d x}"," ",0,"integrate((a*b - 2*a*x + x^2)*(b - x)*x/((2*b*x^3 - x^4 + a^2*d - 2*a*d*x - (b^2 - d)*x^2)*sqrt((a - x)*(b - x)*x)), x)","F",0
1269,1,132,0,0.553877," ","integrate(1/x^9/(a*x^4+b)^(3/4),x, algorithm=""maxima"")","\frac{7 \, {\left(a x^{4} + b\right)}^{\frac{5}{4}} a^{2} - 11 \, {\left(a x^{4} + b\right)}^{\frac{1}{4}} a^{2} b}{32 \, {\left({\left(a x^{4} + b\right)}^{2} b^{2} - 2 \, {\left(a x^{4} + b\right)} b^{3} + b^{4}\right)}} - \frac{21 \, {\left(\frac{2 \, a^{2} \arctan\left(\frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{b^{\frac{1}{4}}}\right)}{b^{\frac{3}{4}}} - \frac{a^{2} \log\left(\frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}} - b^{\frac{1}{4}}}{{\left(a x^{4} + b\right)}^{\frac{1}{4}} + b^{\frac{1}{4}}}\right)}{b^{\frac{3}{4}}}\right)}}{128 \, b^{2}}"," ",0,"1/32*(7*(a*x^4 + b)^(5/4)*a^2 - 11*(a*x^4 + b)^(1/4)*a^2*b)/((a*x^4 + b)^2*b^2 - 2*(a*x^4 + b)*b^3 + b^4) - 21/128*(2*a^2*arctan((a*x^4 + b)^(1/4)/b^(1/4))/b^(3/4) - a^2*log(((a*x^4 + b)^(1/4) - b^(1/4))/((a*x^4 + b)^(1/4) + b^(1/4)))/b^(3/4))/b^2","A",0
1270,1,148,0,0.699024," ","integrate(x^4*(a*x^4+b)^(3/4),x, algorithm=""maxima"")","\frac{3 \, b^{2} {\left(\frac{2 \, \arctan\left(\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}} - \frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}}{a^{\frac{1}{4}} + \frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}}\right)}{a^{\frac{1}{4}}}\right)}}{128 \, a} + \frac{\frac{{\left(a x^{4} + b\right)}^{\frac{3}{4}} a b^{2}}{x^{3}} + \frac{3 \, {\left(a x^{4} + b\right)}^{\frac{7}{4}} b^{2}}{x^{7}}}{32 \, {\left(a^{3} - \frac{2 \, {\left(a x^{4} + b\right)} a^{2}}{x^{4}} + \frac{{\left(a x^{4} + b\right)}^{2} a}{x^{8}}\right)}}"," ",0,"3/128*b^2*(2*arctan((a*x^4 + b)^(1/4)/(a^(1/4)*x))/a^(1/4) + log(-(a^(1/4) - (a*x^4 + b)^(1/4)/x)/(a^(1/4) + (a*x^4 + b)^(1/4)/x))/a^(1/4))/a + 1/32*((a*x^4 + b)^(3/4)*a*b^2/x^3 + 3*(a*x^4 + b)^(7/4)*b^2/x^7)/(a^3 - 2*(a*x^4 + b)*a^2/x^4 + (a*x^4 + b)^2*a/x^8)","B",0
1271,0,0,0,0.000000," ","integrate((a*x^4-b*x^3)^(1/4)/x/(c*x+x^2+d),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}}}{{\left(c x + x^{2} + d\right)} x}\,{d x}"," ",0,"integrate((a*x^4 - b*x^3)^(1/4)/((c*x + x^2 + d)*x), x)","F",0
1272,0,0,0,0.000000," ","integrate((a*x^4-b*x^3)^(1/4)/x/(c*x+x^2+d),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}}}{{\left(c x + x^{2} + d\right)} x}\,{d x}"," ",0,"integrate((a*x^4 - b*x^3)^(1/4)/((c*x + x^2 + d)*x), x)","F",0
1273,1,68,0,0.471814," ","integrate((x^5-1)^(2/3)/x^6,x, algorithm=""maxima"")","\frac{2}{15} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{5} - 1\right)}^{\frac{1}{3}} - 1\right)}\right) - \frac{{\left(x^{5} - 1\right)}^{\frac{2}{3}}}{5 \, x^{5}} + \frac{1}{15} \, \log\left({\left(x^{5} - 1\right)}^{\frac{2}{3}} - {\left(x^{5} - 1\right)}^{\frac{1}{3}} + 1\right) - \frac{2}{15} \, \log\left({\left(x^{5} - 1\right)}^{\frac{1}{3}} + 1\right)"," ",0,"2/15*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^5 - 1)^(1/3) - 1)) - 1/5*(x^5 - 1)^(2/3)/x^5 + 1/15*log((x^5 - 1)^(2/3) - (x^5 - 1)^(1/3) + 1) - 2/15*log((x^5 - 1)^(1/3) + 1)","A",0
1274,1,132,0,0.484487," ","integrate(1/x^11/(a*x^5+b)^(3/4),x, algorithm=""maxima"")","\frac{7 \, {\left(a x^{5} + b\right)}^{\frac{5}{4}} a^{2} - 11 \, {\left(a x^{5} + b\right)}^{\frac{1}{4}} a^{2} b}{40 \, {\left({\left(a x^{5} + b\right)}^{2} b^{2} - 2 \, {\left(a x^{5} + b\right)} b^{3} + b^{4}\right)}} - \frac{21 \, {\left(\frac{2 \, a^{2} \arctan\left(\frac{{\left(a x^{5} + b\right)}^{\frac{1}{4}}}{b^{\frac{1}{4}}}\right)}{b^{\frac{3}{4}}} - \frac{a^{2} \log\left(\frac{{\left(a x^{5} + b\right)}^{\frac{1}{4}} - b^{\frac{1}{4}}}{{\left(a x^{5} + b\right)}^{\frac{1}{4}} + b^{\frac{1}{4}}}\right)}{b^{\frac{3}{4}}}\right)}}{160 \, b^{2}}"," ",0,"1/40*(7*(a*x^5 + b)^(5/4)*a^2 - 11*(a*x^5 + b)^(1/4)*a^2*b)/((a*x^5 + b)^2*b^2 - 2*(a*x^5 + b)*b^3 + b^4) - 21/160*(2*a^2*arctan((a*x^5 + b)^(1/4)/b^(1/4))/b^(3/4) - a^2*log(((a*x^5 + b)^(1/4) - b^(1/4))/((a*x^5 + b)^(1/4) + b^(1/4)))/b^(3/4))/b^2","A",0
1275,1,68,0,0.628836," ","integrate(1/x^7/(x^6-1)^(1/3),x, algorithm=""maxima"")","\frac{1}{18} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{6} - 1\right)}^{\frac{1}{3}} - 1\right)}\right) + \frac{{\left(x^{6} - 1\right)}^{\frac{2}{3}}}{6 \, x^{6}} + \frac{1}{36} \, \log\left({\left(x^{6} - 1\right)}^{\frac{2}{3}} - {\left(x^{6} - 1\right)}^{\frac{1}{3}} + 1\right) - \frac{1}{18} \, \log\left({\left(x^{6} - 1\right)}^{\frac{1}{3}} + 1\right)"," ",0,"1/18*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^6 - 1)^(1/3) - 1)) + 1/6*(x^6 - 1)^(2/3)/x^6 + 1/36*log((x^6 - 1)^(2/3) - (x^6 - 1)^(1/3) + 1) - 1/18*log((x^6 - 1)^(1/3) + 1)","A",0
1276,1,68,0,0.514524," ","integrate((x^6-1)^(2/3)/x^7,x, algorithm=""maxima"")","\frac{1}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{6} - 1\right)}^{\frac{1}{3}} - 1\right)}\right) - \frac{{\left(x^{6} - 1\right)}^{\frac{2}{3}}}{6 \, x^{6}} + \frac{1}{18} \, \log\left({\left(x^{6} - 1\right)}^{\frac{2}{3}} - {\left(x^{6} - 1\right)}^{\frac{1}{3}} + 1\right) - \frac{1}{9} \, \log\left({\left(x^{6} - 1\right)}^{\frac{1}{3}} + 1\right)"," ",0,"1/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^6 - 1)^(1/3) - 1)) - 1/6*(x^6 - 1)^(2/3)/x^6 + 1/18*log((x^6 - 1)^(2/3) - (x^6 - 1)^(1/3) + 1) - 1/9*log((x^6 - 1)^(1/3) + 1)","A",0
1277,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{7} + x^{5} + x\right)}^{\frac{1}{3}} {\left(2 \, x^{6} + x^{4} - 1\right)}}{{\left(x^{6} + x^{4} - x^{2} + 1\right)} {\left(x^{6} + x^{4} + 1\right)}}\,{d x}"," ",0,"integrate((x^7 + x^5 + x)^(1/3)*(2*x^6 + x^4 - 1)/((x^6 + x^4 - x^2 + 1)*(x^6 + x^4 + 1)), x)","F",0
1278,1,132,0,1.056574," ","integrate((1+(1+x)^(1/2))^(1/2)/(x-(1+x)^(1/2)),x, algorithm=""maxima"")","\frac{3}{5} \, \sqrt{5} \log\left(-\frac{\sqrt{5} - 2 \, \sqrt{\sqrt{x + 1} + 1} + 1}{\sqrt{5} + 2 \, \sqrt{\sqrt{x + 1} + 1} - 1}\right) + \frac{3}{5} \, \sqrt{5} \log\left(-\frac{\sqrt{5} - 2 \, \sqrt{\sqrt{x + 1} + 1} - 1}{\sqrt{5} + 2 \, \sqrt{\sqrt{x + 1} + 1} + 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(-(sqrt(5) - 2*sqrt(sqrt(x + 1) + 1) + 1)/(sqrt(5) + 2*sqrt(sqrt(x + 1) + 1) - 1)) + 3/5*sqrt(5)*log(-(sqrt(5) - 2*sqrt(sqrt(x + 1) + 1) - 1)/(sqrt(5) + 2*sqrt(sqrt(x + 1) + 1) + 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))","A",0
1279,1,114,0,0.755276," ","integrate(1/x^3/(x^2-1)^(3/4),x, algorithm=""maxima"")","\frac{3}{8} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, {\left(x^{2} - 1\right)}^{\frac{1}{4}}\right)}\right) + \frac{3}{8} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, {\left(x^{2} - 1\right)}^{\frac{1}{4}}\right)}\right) + \frac{3}{16} \, \sqrt{2} \log\left(\sqrt{2} {\left(x^{2} - 1\right)}^{\frac{1}{4}} + \sqrt{x^{2} - 1} + 1\right) - \frac{3}{16} \, \sqrt{2} \log\left(-\sqrt{2} {\left(x^{2} - 1\right)}^{\frac{1}{4}} + \sqrt{x^{2} - 1} + 1\right) + \frac{{\left(x^{2} - 1\right)}^{\frac{1}{4}}}{2 \, x^{2}}"," ",0,"3/8*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*(x^2 - 1)^(1/4))) + 3/8*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*(x^2 - 1)^(1/4))) + 3/16*sqrt(2)*log(sqrt(2)*(x^2 - 1)^(1/4) + sqrt(x^2 - 1) + 1) - 3/16*sqrt(2)*log(-sqrt(2)*(x^2 - 1)^(1/4) + sqrt(x^2 - 1) + 1) + 1/2*(x^2 - 1)^(1/4)/x^2","A",0
1280,1,81,0,0.567801," ","integrate((x^3-1)^(2/3)/x^3,x, algorithm=""maxima"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} + 1\right)}\right) - \frac{{\left(x^{3} - 1\right)}^{\frac{2}{3}}}{2 \, x^{2}} + \frac{1}{6} \, \log\left(\frac{{\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} + \frac{{\left(x^{3} - 1\right)}^{\frac{2}{3}}}{x^{2}} + 1\right) - \frac{1}{3} \, \log\left(\frac{{\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} - 1\right)"," ",0,"-1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^3 - 1)^(1/3)/x + 1)) - 1/2*(x^3 - 1)^(2/3)/x^2 + 1/6*log((x^3 - 1)^(1/3)/x + (x^3 - 1)^(2/3)/x^2 + 1) - 1/3*log((x^3 - 1)^(1/3)/x - 1)","A",0
1281,0,0,0,0.000000," ","integrate((x^2+2)/(x^2+2*x-2)/(x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} + 2}{\sqrt{x^{3} + 1} {\left(x^{2} + 2 \, x - 2\right)}}\,{d x}"," ",0,"integrate((x^2 + 2)/(sqrt(x^3 + 1)*(x^2 + 2*x - 2)), x)","F",0
1282,1,81,0,1.515202," ","integrate((x^3+1)^(2/3)/x^3,x, algorithm=""maxima"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x} + 1\right)}\right) - \frac{{\left(x^{3} + 1\right)}^{\frac{2}{3}}}{2 \, x^{2}} + \frac{1}{6} \, \log\left(\frac{{\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x} + \frac{{\left(x^{3} + 1\right)}^{\frac{2}{3}}}{x^{2}} + 1\right) - \frac{1}{3} \, \log\left(\frac{{\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x} - 1\right)"," ",0,"-1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^3 + 1)^(1/3)/x + 1)) - 1/2*(x^3 + 1)^(2/3)/x^2 + 1/6*log((x^3 + 1)^(1/3)/x + (x^3 + 1)^(2/3)/x^2 + 1) - 1/3*log((x^3 + 1)^(1/3)/x - 1)","A",0
1283,0,0,0,0.000000," ","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=""maxima"")","\int \frac{2 \, a b x - {\left(3 \, a - b\right)} x^{2}}{\left({\left(a - x\right)} {\left(b - x\right)} x^{2}\right)^{\frac{1}{4}} {\left({\left(d - 1\right)} x^{3} + a^{3} - 3 \, a^{2} x - {\left(b d - 3 \, a\right)} x^{2}\right)}}\,{d x}"," ",0,"integrate((2*a*b*x - (3*a - b)*x^2)/(((a - x)*(b - x)*x^2)^(1/4)*((d - 1)*x^3 + a^3 - 3*a^2*x - (b*d - 3*a)*x^2)), x)","F",0
1284,1,114,0,0.661196," ","integrate((x^4-1)^(1/4)/x^5,x, algorithm=""maxima"")","\frac{1}{16} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}}\right)}\right) + \frac{1}{16} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}}\right)}\right) + \frac{1}{32} \, \sqrt{2} \log\left(\sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} + \sqrt{x^{4} - 1} + 1\right) - \frac{1}{32} \, \sqrt{2} \log\left(-\sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} + \sqrt{x^{4} - 1} + 1\right) - \frac{{\left(x^{4} - 1\right)}^{\frac{1}{4}}}{4 \, x^{4}}"," ",0,"1/16*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*(x^4 - 1)^(1/4))) + 1/16*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*(x^4 - 1)^(1/4))) + 1/32*sqrt(2)*log(sqrt(2)*(x^4 - 1)^(1/4) + sqrt(x^4 - 1) + 1) - 1/32*sqrt(2)*log(-sqrt(2)*(x^4 - 1)^(1/4) + sqrt(x^4 - 1) + 1) - 1/4*(x^4 - 1)^(1/4)/x^4","A",0
1285,0,0,0,0.000000," ","integrate((x^2+1)/(x^2+x-1)/(x^4-x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{x^{2} + 1}{{\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} {\left(x^{2} + x - 1\right)}}\,{d x}"," ",0,"integrate((x^2 + 1)/((x^4 - x^2)^(1/3)*(x^2 + x - 1)), x)","F",0
1286,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{x^{4} - 2 \, x^{3} + x^{2} - 2} {\left(x^{2} - x + 2\right)} {\left(2 \, x - 1\right)}}{2 \, x^{2} - 2 \, x + 3}\,{d x}"," ",0,"integrate(sqrt(x^4 - 2*x^3 + x^2 - 2)*(x^2 - x + 2)*(2*x - 1)/(2*x^2 - 2*x + 3), x)","F",0
1287,0,0,0,0.000000," ","integrate((x^4-x^3)^(1/4)/x/(1+x),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{{\left(x + 1\right)} x}\,{d x}"," ",0,"integrate((x^4 - x^3)^(1/4)/((x + 1)*x), x)","F",0
1288,0,0,0,0.000000," ","integrate((2*x^3+1)/(x^3+x-1)/(x^5-x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{2 \, x^{3} + 1}{{\left(x^{5} - x^{2}\right)}^{\frac{1}{3}} {\left(x^{3} + x - 1\right)}}\,{d x}"," ",0,"integrate((2*x^3 + 1)/((x^5 - x^2)^(1/3)*(x^3 + x - 1)), x)","F",0
1289,1,114,0,0.582038," ","integrate((x^6-1)^(1/4)/x^7,x, algorithm=""maxima"")","\frac{1}{24} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, {\left(x^{6} - 1\right)}^{\frac{1}{4}}\right)}\right) + \frac{1}{24} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, {\left(x^{6} - 1\right)}^{\frac{1}{4}}\right)}\right) + \frac{1}{48} \, \sqrt{2} \log\left(\sqrt{2} {\left(x^{6} - 1\right)}^{\frac{1}{4}} + \sqrt{x^{6} - 1} + 1\right) - \frac{1}{48} \, \sqrt{2} \log\left(-\sqrt{2} {\left(x^{6} - 1\right)}^{\frac{1}{4}} + \sqrt{x^{6} - 1} + 1\right) - \frac{{\left(x^{6} - 1\right)}^{\frac{1}{4}}}{6 \, x^{6}}"," ",0,"1/24*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*(x^6 - 1)^(1/4))) + 1/24*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*(x^6 - 1)^(1/4))) + 1/48*sqrt(2)*log(sqrt(2)*(x^6 - 1)^(1/4) + sqrt(x^6 - 1) + 1) - 1/48*sqrt(2)*log(-sqrt(2)*(x^6 - 1)^(1/4) + sqrt(x^6 - 1) + 1) - 1/6*(x^6 - 1)^(1/4)/x^6","A",0
1290,0,0,0,0.000000," ","integrate((3*x^4+1)/(x^4+x-1)/(x^6-x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{3 \, x^{4} + 1}{{\left(x^{6} - x^{2}\right)}^{\frac{1}{3}} {\left(x^{4} + x - 1\right)}}\,{d x}"," ",0,"integrate((3*x^4 + 1)/((x^6 - x^2)^(1/3)*(x^4 + x - 1)), x)","F",0
1291,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{x^{3} - x^{2} - 1} {\left(x^{3} + 2\right)}}{x^{6} + x^{5} - x^{4} - 2 \, x^{3} - x^{2} + 1}\,{d x}"," ",0,"integrate(sqrt(x^3 - x^2 - 1)*(x^3 + 2)/(x^6 + x^5 - x^4 - 2*x^3 - x^2 + 1), x)","F",0
1292,0,0,0,0.000000," ","integrate((x^4+1)*(x^4-x^2-1)^(1/2)/(x^8+x^6-3*x^4-x^2+1),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{4} - x^{2} - 1} {\left(x^{4} + 1\right)}}{x^{8} + x^{6} - 3 \, x^{4} - x^{2} + 1}\,{d x}"," ",0,"integrate(sqrt(x^4 - x^2 - 1)*(x^4 + 1)/(x^8 + x^6 - 3*x^4 - x^2 + 1), x)","F",0
1293,0,0,0,0.000000," ","integrate(x^2*(x+(1+x)^(1/2))^(1/2)/(1+x)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{x + \sqrt{x + 1}} x^{2}}{\sqrt{x + 1}}\,{d x}"," ",0,"integrate(sqrt(x + sqrt(x + 1))*x^2/sqrt(x + 1), x)","F",0
1294,1,94,0,0.780142," ","integrate((x^3-1)^(2/3),x, algorithm=""maxima"")","\frac{2}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} + 1\right)}\right) - \frac{{\left(x^{3} - 1\right)}^{\frac{2}{3}}}{3 \, x^{2} {\left(\frac{x^{3} - 1}{x^{3}} - 1\right)}} - \frac{1}{9} \, \log\left(\frac{{\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} + \frac{{\left(x^{3} - 1\right)}^{\frac{2}{3}}}{x^{2}} + 1\right) + \frac{2}{9} \, \log\left(\frac{{\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} - 1\right)"," ",0,"2/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^3 - 1)^(1/3)/x + 1)) - 1/3*(x^3 - 1)^(2/3)/(x^2*((x^3 - 1)/x^3 - 1)) - 1/9*log((x^3 - 1)^(1/3)/x + (x^3 - 1)^(2/3)/x^2 + 1) + 2/9*log((x^3 - 1)^(1/3)/x - 1)","A",0
1295,1,94,0,0.756871," ","integrate((x^3+1)^(2/3),x, algorithm=""maxima"")","-\frac{2}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x} + 1\right)}\right) + \frac{{\left(x^{3} + 1\right)}^{\frac{2}{3}}}{3 \, x^{2} {\left(\frac{x^{3} + 1}{x^{3}} - 1\right)}} + \frac{1}{9} \, \log\left(\frac{{\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x} + \frac{{\left(x^{3} + 1\right)}^{\frac{2}{3}}}{x^{2}} + 1\right) - \frac{2}{9} \, \log\left(\frac{{\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x} - 1\right)"," ",0,"-2/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^3 + 1)^(1/3)/x + 1)) + 1/3*(x^3 + 1)^(2/3)/(x^2*((x^3 + 1)/x^3 - 1)) + 1/9*log((x^3 + 1)^(1/3)/x + (x^3 + 1)^(2/3)/x^2 + 1) - 2/9*log((x^3 + 1)^(1/3)/x - 1)","A",0
1296,1,94,0,0.899602," ","integrate((x^3-1)/(x^3+2)^(1/3),x, algorithm=""maxima"")","\frac{5}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{3} + 2\right)}^{\frac{1}{3}}}{x} + 1\right)}\right) + \frac{2 \, {\left(x^{3} + 2\right)}^{\frac{2}{3}}}{3 \, x^{2} {\left(\frac{x^{3} + 2}{x^{3}} - 1\right)}} - \frac{5}{18} \, \log\left(\frac{{\left(x^{3} + 2\right)}^{\frac{1}{3}}}{x} + \frac{{\left(x^{3} + 2\right)}^{\frac{2}{3}}}{x^{2}} + 1\right) + \frac{5}{9} \, \log\left(\frac{{\left(x^{3} + 2\right)}^{\frac{1}{3}}}{x} - 1\right)"," ",0,"5/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^3 + 2)^(1/3)/x + 1)) + 2/3*(x^3 + 2)^(2/3)/(x^2*((x^3 + 2)/x^3 - 1)) - 5/18*log((x^3 + 2)^(1/3)/x + (x^3 + 2)^(2/3)/x^2 + 1) + 5/9*log((x^3 + 2)^(1/3)/x - 1)","A",0
1297,0,0,0,0.000000," ","integrate((x^3+x)^(1/3),x, algorithm=""maxima"")","\int {\left(x^{3} + x\right)}^{\frac{1}{3}}\,{d x}"," ",0,"integrate((x^3 + x)^(1/3), x)","F",0
1298,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(k^{2} x^{2} + 2 \, k x + 1\right)} {\left({\left(k + 1\right)} {\left(k - 1\right)} x + 2 \, k x^{2} - 2 \, k\right)}}{{\left({\left(d k^{2} - 1\right)} k x^{3} + {\left(3 \, d + 1\right)} k x + {\left(3 \, d k^{2} + 1\right)} x^{2} + d - 1\right)} \left({\left(k^{2} x^{2} - 1\right)} {\left(x^{2} - 1\right)}\right)^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((k^2*x^2 + 2*k*x + 1)*((k + 1)*(k - 1)*x + 2*k*x^2 - 2*k)/(((d*k^2 - 1)*k*x^3 + (3*d + 1)*k*x + (3*d*k^2 + 1)*x^2 + d - 1)*((k^2*x^2 - 1)*(x^2 - 1))^(3/4)), x)","F",0
1299,0,0,0,0.000000," ","integrate((x^4-1)^(3/4)*(x^4+4)/x^8/(x^4-4),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + 4\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}}}{{\left(x^{4} - 4\right)} x^{8}}\,{d x}"," ",0,"integrate((x^4 + 4)*(x^4 - 1)^(3/4)/((x^4 - 4)*x^8), x)","F",0
1300,0,0,0,0.000000," ","integrate((a*x^3+4*b)/(a*x^3+b)^(1/4)/(a*x^3+x^4+b),x, algorithm=""maxima"")","\int \frac{a x^{3} + 4 \, b}{{\left(a x^{3} + x^{4} + b\right)} {\left(a x^{3} + b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((a*x^3 + 4*b)/((a*x^3 + x^4 + b)*(a*x^3 + b)^(1/4)), x)","F",0
1301,0,0,0,0.000000," ","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=""maxima"")","\int \frac{a^{2} b - {\left(2 \, a + b\right)} a x + 3 \, a x^{2} - x^{3}}{{\left(2 \, b x^{3} - x^{4} + a^{2} d - 2 \, a d x - {\left(b^{2} - d\right)} x^{2}\right)} \sqrt{{\left(a - x\right)} {\left(b - x\right)} x}}\,{d x}"," ",0,"integrate((a^2*b - (2*a + b)*a*x + 3*a*x^2 - x^3)/((2*b*x^3 - x^4 + a^2*d - 2*a*d*x - (b^2 - d)*x^2)*sqrt((a - x)*(b - x)*x)), x)","F",0
1302,0,0,0,0.000000," ","integrate((a*x^4-2*b)/x^4/(a*x^4+b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{4} - 2 \, b}{{\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}} x^{4}}\,{d x}"," ",0,"integrate((a*x^4 - 2*b)/((a*x^4 + b*x^2)^(1/4)*x^4), x)","F",0
1303,0,0,0,0.000000," ","integrate((a*x^4+2*b)/x^4/(a*x^4+b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{4} + 2 \, b}{{\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}} x^{4}}\,{d x}"," ",0,"integrate((a*x^4 + 2*b)/((a*x^4 + b*x^2)^(1/4)*x^4), x)","F",0
1304,0,0,0,0.000000," ","integrate((-1+x)/(1+x)/(a*x^4+b*x^3+c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x - 1}{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left(x + 1\right)}}\,{d x}"," ",0,"integrate((x - 1)/(sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*(x + 1)), x)","F",0
1305,0,0,0,0.000000," ","integrate((1+x)/(-1+x)/(a*x^4+b*x^3+c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x + 1}{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left(x - 1\right)}}\,{d x}"," ",0,"integrate((x + 1)/(sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*(x - 1)), x)","F",0
1306,0,0,0,0.000000," ","integrate(x^2/((-x^2+1)*(-k^2*x^2+1))^(1/2)/(k^2*x^4-1),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(k^{2} x^{4} - 1\right)} \sqrt{{\left(k^{2} x^{2} - 1\right)} {\left(x^{2} - 1\right)}}}\,{d x}"," ",0,"integrate(x^2/((k^2*x^4 - 1)*sqrt((k^2*x^2 - 1)*(x^2 - 1))), x)","F",0
1307,0,0,0,0.000000," ","integrate((x^6-1)^(2/3)*(x^6+1)/x^3/(x^6-x^3-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} + 1\right)} {\left(x^{6} - 1\right)}^{\frac{2}{3}}}{{\left(x^{6} - x^{3} - 1\right)} x^{3}}\,{d x}"," ",0,"integrate((x^6 + 1)*(x^6 - 1)^(2/3)/((x^6 - x^3 - 1)*x^3), x)","F",0
1308,0,0,0,0.000000," ","integrate((x^6-1)*(x^6+1)^(2/3)/x^3/(x^6-x^3+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} + 1\right)}^{\frac{2}{3}} {\left(x^{6} - 1\right)}}{{\left(x^{6} - x^{3} + 1\right)} x^{3}}\,{d x}"," ",0,"integrate((x^6 + 1)^(2/3)*(x^6 - 1)/((x^6 - x^3 + 1)*x^3), x)","F",0
1309,0,0,0,0.000000," ","integrate((x^8-1)/(x^4-x^2)^(1/4)/(x^8+1),x, algorithm=""maxima"")","\int \frac{x^{8} - 1}{{\left(x^{8} + 1\right)} {\left(x^{4} - x^{2}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((x^8 - 1)/((x^8 + 1)*(x^4 - x^2)^(1/4)), x)","F",0
1310,0,0,0,0.000000," ","integrate((x^8-1)/(x^4-x^2)^(1/4)/(x^8+1),x, algorithm=""maxima"")","\int \frac{x^{8} - 1}{{\left(x^{8} + 1\right)} {\left(x^{4} - x^{2}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((x^8 - 1)/((x^8 + 1)*(x^4 - x^2)^(1/4)), x)","F",0
1311,0,0,0,0.000000," ","integrate((x^8+3*x^4+1)/x^2/(x^4+1)^(3/4)/(3*x^8+3*x^4+1),x, algorithm=""maxima"")","\int \frac{x^{8} + 3 \, x^{4} + 1}{{\left(3 \, x^{8} + 3 \, x^{4} + 1\right)} {\left(x^{4} + 1\right)}^{\frac{3}{4}} x^{2}}\,{d x}"," ",0,"integrate((x^8 + 3*x^4 + 1)/((3*x^8 + 3*x^4 + 1)*(x^4 + 1)^(3/4)*x^2), x)","F",0
1312,0,0,0,0.000000," ","integrate((c+(a*x+(a^2*x^2+b)^(1/2))^(1/2))^(1/2)/(a^2*x^2+b),x, algorithm=""maxima"")","\int \frac{\sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}}}{a^{2} x^{2} + b}\,{d x}"," ",0,"integrate(sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b)))/(a^2*x^2 + b), x)","F",0
1313,0,0,0,0.000000," ","integrate((c+(a*x+(a^2*x^2+b)^(1/2))^(1/2))^(1/2)/(a^2*x^2+b),x, algorithm=""maxima"")","\int \frac{\sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}}}{a^{2} x^{2} + b}\,{d x}"," ",0,"integrate(sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b)))/(a^2*x^2 + b), x)","F",0
1314,1,78,0,0.470295," ","integrate((-1+x)/x^4/(x^3+1)^(1/3),x, algorithm=""maxima"")","\frac{1}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{3} + 1\right)}^{\frac{1}{3}} + 1\right)}\right) - \frac{{\left(x^{3} + 1\right)}^{\frac{2}{3}}}{2 \, x^{2}} + \frac{{\left(x^{3} + 1\right)}^{\frac{2}{3}}}{3 \, x^{3}} - \frac{1}{18} \, \log\left({\left(x^{3} + 1\right)}^{\frac{2}{3}} + {\left(x^{3} + 1\right)}^{\frac{1}{3}} + 1\right) + \frac{1}{9} \, \log\left({\left(x^{3} + 1\right)}^{\frac{1}{3}} - 1\right)"," ",0,"1/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^3 + 1)^(1/3) + 1)) - 1/2*(x^3 + 1)^(2/3)/x^2 + 1/3*(x^3 + 1)^(2/3)/x^3 - 1/18*log((x^3 + 1)^(2/3) + (x^3 + 1)^(1/3) + 1) + 1/9*log((x^3 + 1)^(1/3) - 1)","A",0
1315,0,0,0,0.000000," ","integrate((3+2*x)*(x^3+x+1)^(1/3)/x^2/(1+x),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} + x + 1\right)}^{\frac{1}{3}} {\left(2 \, x + 3\right)}}{{\left(x + 1\right)} x^{2}}\,{d x}"," ",0,"integrate((x^3 + x + 1)^(1/3)*(2*x + 3)/((x + 1)*x^2), x)","F",0
1316,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a^{2} - 2 \, a x + x^{2}\right)} {\left(a b - 2 \, {\left(a - b\right)} x - x^{2}\right)}}{{\left(a^{3} d - d x^{3} + {\left(3 \, a d + 1\right)} x^{2} - {\left(3 \, a^{2} d + b\right)} x\right)} \left({\left(a - x\right)} {\left(b - x\right)} x\right)^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((a^2 - 2*a*x + x^2)*(a*b - 2*(a - b)*x - x^2)/((a^3*d - d*x^3 + (3*a*d + 1)*x^2 - (3*a^2*d + b)*x)*((a - x)*(b - x)*x)^(3/4)), x)","F",0
1317,0,0,0,0.000000," ","integrate((x^2+1)^2/(-x^2+1)/(x^4-6*x^2+1)^(3/4),x, algorithm=""maxima"")","-\int \frac{{\left(x^{2} + 1\right)}^{2}}{{\left(x^{4} - 6 \, x^{2} + 1\right)}^{\frac{3}{4}} {\left(x^{2} - 1\right)}}\,{d x}"," ",0,"-integrate((x^2 + 1)^2/((x^4 - 6*x^2 + 1)^(3/4)*(x^2 - 1)), x)","F",0
1318,0,0,0,0.000000," ","integrate((x^3-4)*(x^4-x^3+1)/x^2/(x^3-1)^(3/4)/(x^4+x^3-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - x^{3} + 1\right)} {\left(x^{3} - 4\right)}}{{\left(x^{4} + x^{3} - 1\right)} {\left(x^{3} - 1\right)}^{\frac{3}{4}} x^{2}}\,{d x}"," ",0,"integrate((x^4 - x^3 + 1)*(x^3 - 4)/((x^4 + x^3 - 1)*(x^3 - 1)^(3/4)*x^2), x)","F",0
1319,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{4} - x^{3} - 1\right)} {\left(x^{4} + 3\right)} {\left(x^{4} - 1\right)}}{{\left(x^{5} - x\right)}^{\frac{1}{4}} {\left(x^{4} - 2 \, x^{3} - 1\right)} x^{6}}\,{d x}"," ",0,"integrate((x^4 - x^3 - 1)*(x^4 + 3)*(x^4 - 1)/((x^5 - x)^(1/4)*(x^4 - 2*x^3 - 1)*x^6), x)","F",0
1320,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a x^{5} + c x^{4} - b\right)} {\left(a x^{5} + 4 \, b\right)}}{{\left(a x^{5} - c x^{4} - b\right)} {\left(a x^{5} - b\right)}^{\frac{3}{4}} x^{2}}\,{d x}"," ",0,"integrate((a*x^5 + c*x^4 - b)*(a*x^5 + 4*b)/((a*x^5 - c*x^4 - b)*(a*x^5 - b)^(3/4)*x^2), x)","F",0
1321,0,0,0,0.000000," ","integrate((x^6-2)*(x^6-x^4+1)/x^4/(x^6+1)^(1/4)/(x^6+x^4+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} - x^{4} + 1\right)} {\left(x^{6} - 2\right)}}{{\left(x^{6} + x^{4} + 1\right)} {\left(x^{6} + 1\right)}^{\frac{1}{4}} x^{4}}\,{d x}"," ",0,"integrate((x^6 - x^4 + 1)*(x^6 - 2)/((x^6 + x^4 + 1)*(x^6 + 1)^(1/4)*x^4), x)","F",0
1322,0,0,0,0.000000," ","integrate(x^4*(a*x^6+2*b)/(a*x^6-b)^(1/4)/(a*x^6-x^4-b)^2,x, algorithm=""maxima"")","\int \frac{{\left(a x^{6} + 2 \, b\right)} x^{4}}{{\left(a x^{6} - x^{4} - b\right)}^{2} {\left(a x^{6} - b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((a*x^6 + 2*b)*x^4/((a*x^6 - x^4 - b)^2*(a*x^6 - b)^(1/4)), x)","F",0
1323,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a x^{6} - x^{4} - b\right)} {\left(a x^{6} + 2 \, b\right)}}{{\left(a x^{6} - 2 \, x^{4} - b\right)} {\left(a x^{6} - b\right)}^{\frac{1}{4}} x^{4}}\,{d x}"," ",0,"integrate((a*x^6 - x^4 - b)*(a*x^6 + 2*b)/((a*x^6 - 2*x^4 - b)*(a*x^6 - b)^(1/4)*x^4), x)","F",0
1324,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(3 \, x^{8} + x^{3} - 1\right)} \sqrt{-x^{8} - 2 \, x^{3} - 2 \, x^{2} - 1}}{{\left(x^{8} + 2 \, x^{3} + x^{2} + 1\right)} {\left(x^{8} + 2 \, x^{3} + 1\right)}}\,{d x}"," ",0,"integrate((3*x^8 + x^3 - 1)*sqrt(-x^8 - 2*x^3 - 2*x^2 - 1)/((x^8 + 2*x^3 + x^2 + 1)*(x^8 + 2*x^3 + 1)), x)","F",0
1325,0,0,0,0.000000," ","integrate((x^6+1)*(x^6-x^2-2)^(1/2)/(x^12-4*x^6-3*x^4+4),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{6} - x^{2} - 2} {\left(x^{6} + 1\right)}}{x^{12} - 4 \, x^{6} - 3 \, x^{4} + 4}\,{d x}"," ",0,"integrate(sqrt(x^6 - x^2 - 2)*(x^6 + 1)/(x^12 - 4*x^6 - 3*x^4 + 4), x)","F",0
1326,1,94,0,0.415831," ","integrate(x*(x^3-1)^(1/3),x, algorithm=""maxima"")","-\frac{1}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} + 1\right)}\right) - \frac{{\left(x^{3} - 1\right)}^{\frac{1}{3}}}{3 \, x {\left(\frac{x^{3} - 1}{x^{3}} - 1\right)}} - \frac{1}{18} \, \log\left(\frac{{\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} + \frac{{\left(x^{3} - 1\right)}^{\frac{2}{3}}}{x^{2}} + 1\right) + \frac{1}{9} \, \log\left(\frac{{\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} - 1\right)"," ",0,"-1/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^3 - 1)^(1/3)/x + 1)) - 1/3*(x^3 - 1)^(1/3)/(x*((x^3 - 1)/x^3 - 1)) - 1/18*log((x^3 - 1)^(1/3)/x + (x^3 - 1)^(2/3)/x^2 + 1) + 1/9*log((x^3 - 1)^(1/3)/x - 1)","A",0
1327,1,94,0,0.445747," ","integrate(x*(x^3+1)^(1/3),x, algorithm=""maxima"")","\frac{1}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x} + 1\right)}\right) + \frac{{\left(x^{3} + 1\right)}^{\frac{1}{3}}}{3 \, x {\left(\frac{x^{3} + 1}{x^{3}} - 1\right)}} + \frac{1}{18} \, \log\left(\frac{{\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x} + \frac{{\left(x^{3} + 1\right)}^{\frac{2}{3}}}{x^{2}} + 1\right) - \frac{1}{9} \, \log\left(\frac{{\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x} - 1\right)"," ",0,"1/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^3 + 1)^(1/3)/x + 1)) + 1/3*(x^3 + 1)^(1/3)/(x*((x^3 + 1)/x^3 - 1)) + 1/18*log((x^3 + 1)^(1/3)/x + (x^3 + 1)^(2/3)/x^2 + 1) - 1/9*log((x^3 + 1)^(1/3)/x - 1)","A",0
1328,0,0,0,0.000000," ","integrate((x^3+x)^(1/3)/x^2,x, algorithm=""maxima"")","\int \frac{{\left(x^{3} + x\right)}^{\frac{1}{3}}}{x^{2}}\,{d x}"," ",0,"integrate((x^3 + x)^(1/3)/x^2, x)","F",0
1329,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(k x^{2} - 2 \, {\left(k + 1\right)} x + 3\right)} {\left(k x - 1\right)} {\left(x - 1\right)}}{{\left(d x^{3} - k x^{2} + {\left(k + 1\right)} x - 1\right)} \left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{3}{4}} x}\,{d x}"," ",0,"integrate((k*x^2 - 2*(k + 1)*x + 3)*(k*x - 1)*(x - 1)/((d*x^3 - k*x^2 + (k + 1)*x - 1)*((k*x - 1)*(x - 1)*x)^(3/4)*x), x)","F",0
1330,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(2 \, k^{2} x^{2} + {\left(k + 1\right)} {\left(k - 1\right)} x - 2\right)} {\left(x^{2} - 2 \, x + 1\right)}}{{\left({\left(k^{2} - d\right)} x^{3} + {\left(k^{2} + 3 \, d\right)} x^{2} - {\left(3 \, d + 1\right)} x + d - 1\right)} \left({\left(k^{2} x^{2} - 1\right)} {\left(x^{2} - 1\right)}\right)^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((2*k^2*x^2 + (k + 1)*(k - 1)*x - 2)*(x^2 - 2*x + 1)/(((k^2 - d)*x^3 + (k^2 + 3*d)*x^2 - (3*d + 1)*x + d - 1)*((k^2*x^2 - 1)*(x^2 - 1))^(3/4)), x)","F",0
1331,0,0,0,0.000000," ","integrate(x^2/(a*x^2-b)/(a*x^4-b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{2} - b\right)}}\,{d x}"," ",0,"integrate(x^2/((a*x^4 - b*x^2)^(1/4)*(a*x^2 - b)), x)","F",0
1332,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a p x^{5} + b x^{2} + a q\right)} {\left(3 \, p x^{5} - 2 \, q\right)} \sqrt{p x^{5} + q}}{{\left(c p x^{5} + d x^{2} + c q\right)} x^{4}}\,{d x}"," ",0,"integrate((a*p*x^5 + b*x^2 + a*q)*(3*p*x^5 - 2*q)*sqrt(p*x^5 + q)/((c*p*x^5 + d*x^2 + c*q)*x^4), x)","F",0
1333,0,0,0,0.000000," ","integrate(x/(x^6+x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{x}{{\left(x^{6} + x^{2}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(x/(x^6 + x^2)^(1/3), x)","F",0
1334,0,0,0,0.000000," ","integrate((x^4-1)/(x^4+x^2+1)/(x^6+x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{4} - 1}{{\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} + x^{2} + 1\right)}}\,{d x}"," ",0,"integrate((x^4 - 1)/((x^6 + x^2)^(1/4)*(x^4 + x^2 + 1)), x)","F",0
1335,0,0,0,0.000000," ","integrate((x^4-1)/(x^4+x^2+1)/(x^6+x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{4} - 1}{{\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} + x^{2} + 1\right)}}\,{d x}"," ",0,"integrate((x^4 - 1)/((x^6 + x^2)^(1/4)*(x^4 + x^2 + 1)), x)","F",0
1336,0,0,0,0.000000," ","integrate(x^2*(a*x^6+2*b)/(a*x^6-b)^(3/4)/(a*x^6-2*c*x^4-b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{6} + 2 \, b\right)} x^{2}}{{\left(a x^{6} - 2 \, c x^{4} - b\right)} {\left(a x^{6} - b\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((a*x^6 + 2*b)*x^2/((a*x^6 - 2*c*x^4 - b)*(a*x^6 - b)^(3/4)), x)","F",0
1337,0,0,0,0.000000," ","integrate(1/(a*x^4+b)^(1/4)/(x^8-2*a*x^4-2*b),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{8} - 2 \, a x^{4} - 2 \, b\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((x^8 - 2*a*x^4 - 2*b)*(a*x^4 + b)^(1/4)), x)","F",0
1338,0,0,0,0.000000," ","integrate(1/(a*x^4+b)^(1/4)/(x^8-2*a*x^4-2*b),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{8} - 2 \, a x^{4} - 2 \, b\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((x^8 - 2*a*x^4 - 2*b)*(a*x^4 + b)^(1/4)), x)","F",0
1339,0,0,0,0.000000," ","integrate((a*x^4-2*b)/(a*x^4+b)^(1/4)/(2*x^8-a*x^4-b),x, algorithm=""maxima"")","\int \frac{a x^{4} - 2 \, b}{{\left(2 \, x^{8} - a x^{4} - b\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((a*x^4 - 2*b)/((2*x^8 - a*x^4 - b)*(a*x^4 + b)^(1/4)), x)","F",0
1340,0,0,0,0.000000," ","integrate((k^2*x^2+b*x+1)/((1-x)*x*(-k^2*x+1))^(1/2)/(k^2*x^2-1),x, algorithm=""maxima"")","\int \frac{k^{2} x^{2} + b x + 1}{{\left(k^{2} x^{2} - 1\right)} \sqrt{{\left(k^{2} x - 1\right)} {\left(x - 1\right)} x}}\,{d x}"," ",0,"integrate((k^2*x^2 + b*x + 1)/((k^2*x^2 - 1)*sqrt((k^2*x - 1)*(x - 1)*x)), x)","F",0
1341,1,91,0,0.763597," ","integrate((x^3-1)^(1/3)/x^7,x, algorithm=""maxima"")","\frac{1}{27} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}} - 1\right)}\right) + \frac{{\left(x^{3} - 1\right)}^{\frac{4}{3}} - 2 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{18 \, {\left(2 \, x^{3} + {\left(x^{3} - 1\right)}^{2} - 1\right)}} - \frac{1}{54} \, \log\left({\left(x^{3} - 1\right)}^{\frac{2}{3}} - {\left(x^{3} - 1\right)}^{\frac{1}{3}} + 1\right) + \frac{1}{27} \, \log\left({\left(x^{3} - 1\right)}^{\frac{1}{3}} + 1\right)"," ",0,"1/27*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^3 - 1)^(1/3) - 1)) + 1/18*((x^3 - 1)^(4/3) - 2*(x^3 - 1)^(1/3))/(2*x^3 + (x^3 - 1)^2 - 1) - 1/54*log((x^3 - 1)^(2/3) - (x^3 - 1)^(1/3) + 1) + 1/27*log((x^3 - 1)^(1/3) + 1)","A",0
1342,1,91,0,0.590219," ","integrate((x^3+1)^(1/3)/x^7,x, algorithm=""maxima"")","\frac{1}{27} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{3} + 1\right)}^{\frac{1}{3}} + 1\right)}\right) + \frac{{\left(x^{3} + 1\right)}^{\frac{4}{3}} + 2 \, {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{18 \, {\left(2 \, x^{3} - {\left(x^{3} + 1\right)}^{2} + 1\right)}} + \frac{1}{54} \, \log\left({\left(x^{3} + 1\right)}^{\frac{2}{3}} + {\left(x^{3} + 1\right)}^{\frac{1}{3}} + 1\right) - \frac{1}{27} \, \log\left({\left(x^{3} + 1\right)}^{\frac{1}{3}} - 1\right)"," ",0,"1/27*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^3 + 1)^(1/3) + 1)) + 1/18*((x^3 + 1)^(4/3) + 2*(x^3 + 1)^(1/3))/(2*x^3 - (x^3 + 1)^2 + 1) + 1/54*log((x^3 + 1)^(2/3) + (x^3 + 1)^(1/3) + 1) - 1/27*log((x^3 + 1)^(1/3) - 1)","A",0
1343,1,73,0,0.429690," ","integrate((x^3-1)*(x^3+1)^(1/3)/x^4,x, algorithm=""maxima"")","-\frac{2}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{3} + 1\right)}^{\frac{1}{3}} + 1\right)}\right) + {\left(x^{3} + 1\right)}^{\frac{1}{3}} + \frac{{\left(x^{3} + 1\right)}^{\frac{1}{3}}}{3 \, x^{3}} - \frac{1}{9} \, \log\left({\left(x^{3} + 1\right)}^{\frac{2}{3}} + {\left(x^{3} + 1\right)}^{\frac{1}{3}} + 1\right) + \frac{2}{9} \, \log\left({\left(x^{3} + 1\right)}^{\frac{1}{3}} - 1\right)"," ",0,"-2/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^3 + 1)^(1/3) + 1)) + (x^3 + 1)^(1/3) + 1/3*(x^3 + 1)^(1/3)/x^3 - 1/9*log((x^3 + 1)^(2/3) + (x^3 + 1)^(1/3) + 1) + 2/9*log((x^3 + 1)^(1/3) - 1)","A",0
1344,0,0,0,0.000000," ","integrate((1+x)/(x^3-x-1)/(x^3-x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{x + 1}{{\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(x^{3} - x - 1\right)}}\,{d x}"," ",0,"integrate((x + 1)/((x^3 - x^2)^(1/3)*(x^3 - x - 1)), x)","F",0
1345,0,0,0,0.000000," ","integrate((1+x)/(x^3-x-1)/(x^3-x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{x + 1}{{\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(x^{3} - x - 1\right)}}\,{d x}"," ",0,"integrate((x + 1)/((x^3 - x^2)^(1/3)*(x^3 - x - 1)), x)","F",0
1346,0,0,0,0.000000," ","integrate((x^2-1)/(x^2+1)/(x^3-x^2-x)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} - 1}{\sqrt{x^{3} - x^{2} - x} {\left(x^{2} + 1\right)}}\,{d x}"," ",0,"integrate((x^2 - 1)/(sqrt(x^3 - x^2 - x)*(x^2 + 1)), x)","F",0
1347,0,0,0,0.000000," ","integrate((x^3+x^2)^(1/3)/x,x, algorithm=""maxima"")","\int \frac{{\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{x}\,{d x}"," ",0,"integrate((x^3 + x^2)^(1/3)/x, x)","F",0
1348,0,0,0,0.000000," ","integrate((x^3+1)^(2/3)*(x^3+2)/x^6/(2*x^3+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} + 2\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{{\left(2 \, x^{3} + 1\right)} x^{6}}\,{d x}"," ",0,"integrate((x^3 + 2)*(x^3 + 1)^(2/3)/((2*x^3 + 1)*x^6), x)","F",0
1349,1,103,0,0.413540," ","integrate((x^4-3)*(x^4+1)^(1/3)/x^9,x, algorithm=""maxima"")","-\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{4} + 1\right)}^{\frac{1}{3}} + 1\right)}\right) - \frac{{\left(x^{4} + 1\right)}^{\frac{4}{3}} + 2 \, {\left(x^{4} + 1\right)}^{\frac{1}{3}}}{8 \, {\left(2 \, x^{4} - {\left(x^{4} + 1\right)}^{2} + 1\right)}} - \frac{{\left(x^{4} + 1\right)}^{\frac{1}{3}}}{4 \, x^{4}} - \frac{1}{12} \, \log\left({\left(x^{4} + 1\right)}^{\frac{2}{3}} + {\left(x^{4} + 1\right)}^{\frac{1}{3}} + 1\right) + \frac{1}{6} \, \log\left({\left(x^{4} + 1\right)}^{\frac{1}{3}} - 1\right)"," ",0,"-1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^4 + 1)^(1/3) + 1)) - 1/8*((x^4 + 1)^(4/3) + 2*(x^4 + 1)^(1/3))/(2*x^4 - (x^4 + 1)^2 + 1) - 1/4*(x^4 + 1)^(1/3)/x^4 - 1/12*log((x^4 + 1)^(2/3) + (x^4 + 1)^(1/3) + 1) + 1/6*log((x^4 + 1)^(1/3) - 1)","A",0
1350,0,0,0,0.000000," ","integrate((a*x^3-b)/x^3/(a*x^4+b*x)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{3} - b}{{\left(a x^{4} + b x\right)}^{\frac{1}{4}} x^{3}}\,{d x}"," ",0,"integrate((a*x^3 - b)/((a*x^4 + b*x)^(1/4)*x^3), x)","F",0
1351,0,0,0,0.000000," ","integrate((a*x^3+b)/x^3/(a*x^4+b*x)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{3} + b}{{\left(a x^{4} + b x\right)}^{\frac{1}{4}} x^{3}}\,{d x}"," ",0,"integrate((a*x^3 + b)/((a*x^4 + b*x)^(1/4)*x^3), x)","F",0
1352,1,93,0,0.415742," ","integrate(1/x^13/(x^6+1)^(1/3),x, algorithm=""maxima"")","\frac{1}{27} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{6} + 1\right)}^{\frac{1}{3}} + 1\right)}\right) - \frac{4 \, {\left(x^{6} + 1\right)}^{\frac{5}{3}} - 7 \, {\left(x^{6} + 1\right)}^{\frac{2}{3}}}{36 \, {\left(2 \, x^{6} - {\left(x^{6} + 1\right)}^{2} + 1\right)}} - \frac{1}{54} \, \log\left({\left(x^{6} + 1\right)}^{\frac{2}{3}} + {\left(x^{6} + 1\right)}^{\frac{1}{3}} + 1\right) + \frac{1}{27} \, \log\left({\left(x^{6} + 1\right)}^{\frac{1}{3}} - 1\right)"," ",0,"1/27*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^6 + 1)^(1/3) + 1)) - 1/36*(4*(x^6 + 1)^(5/3) - 7*(x^6 + 1)^(2/3))/(2*x^6 - (x^6 + 1)^2 + 1) - 1/54*log((x^6 + 1)^(2/3) + (x^6 + 1)^(1/3) + 1) + 1/27*log((x^6 + 1)^(1/3) - 1)","A",0
1353,0,0,0,0.000000," ","integrate((5*x^8-3)/(x^8+1)/(x^8-x^3+1)^(1/3),x, algorithm=""maxima"")","\int \frac{5 \, x^{8} - 3}{{\left(x^{8} - x^{3} + 1\right)}^{\frac{1}{3}} {\left(x^{8} + 1\right)}}\,{d x}"," ",0,"integrate((5*x^8 - 3)/((x^8 - x^3 + 1)^(1/3)*(x^8 + 1)), x)","F",0
1354,0,0,0,0.000000," ","integrate((x+(1+x)^(1/2))^(1/2)/(1+(1+x)^(1/2)),x, algorithm=""maxima"")","\int \frac{\sqrt{x + \sqrt{x + 1}}}{\sqrt{x + 1} + 1}\,{d x}"," ",0,"integrate(sqrt(x + sqrt(x + 1))/(sqrt(x + 1) + 1), x)","F",0
1355,0,0,0,0.000000," ","integrate((x+(x^2+1)^(1/2))/(1+(x+(x^2+1)^(1/2))^(1/2)),x, algorithm=""maxima"")","\frac{1}{4} \, x^{2} + \frac{1}{2} \, \int \sqrt{x^{2} + 1}\,{d x} - \int \frac{2 \, x^{2} + \sqrt{x^{2} + 1} {\left(2 \, x - 1\right)} - x + 1}{2 \, {\left(x + \sqrt{x^{2} + 1} + 2 \, \sqrt{x + \sqrt{x^{2} + 1}} + 1\right)}}\,{d x}"," ",0,"1/4*x^2 + 1/2*integrate(sqrt(x^2 + 1), x) - integrate(1/2*(2*x^2 + sqrt(x^2 + 1)*(2*x - 1) - x + 1)/(x + sqrt(x^2 + 1) + 2*sqrt(x + sqrt(x^2 + 1)) + 1), x)","F",0
1356,0,0,0,0.000000," ","integrate(x^2/(a*x^2-2*b)/(a*x^2-b)^(3/4),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(a x^{2} - b\right)}^{\frac{3}{4}} {\left(a x^{2} - 2 \, b\right)}}\,{d x}"," ",0,"integrate(x^2/((a*x^2 - b)^(3/4)*(a*x^2 - 2*b)), x)","F",0
1357,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(k^{2} x^{2} - 2 \, k x + 1\right)} {\left({\left(k + 1\right)} {\left(k - 1\right)} x - 2 \, k x^{2} + 2 \, k\right)}}{{\left({\left(d k^{2} - 1\right)} k x^{3} + {\left(3 \, d + 1\right)} k x - {\left(3 \, d k^{2} + 1\right)} x^{2} - d + 1\right)} \left({\left(k^{2} x^{2} - 1\right)} {\left(x^{2} - 1\right)}\right)^{\frac{3}{4}}}\,{d x}"," ",0,"-integrate((k^2*x^2 - 2*k*x + 1)*((k + 1)*(k - 1)*x - 2*k*x^2 + 2*k)/(((d*k^2 - 1)*k*x^3 + (3*d + 1)*k*x - (3*d*k^2 + 1)*x^2 - d + 1)*((k^2*x^2 - 1)*(x^2 - 1))^(3/4)), x)","F",0
1358,0,0,0,0.000000," ","integrate((x^2-1)*(x^2+1)*(x^4+3*x^2+1)^(1/2)/x^2/(x^2+x+1)^2,x, algorithm=""maxima"")","\int \frac{\sqrt{x^{4} + 3 \, x^{2} + 1} {\left(x^{2} + 1\right)} {\left(x^{2} - 1\right)}}{{\left(x^{2} + x + 1\right)}^{2} x^{2}}\,{d x}"," ",0,"integrate(sqrt(x^4 + 3*x^2 + 1)*(x^2 + 1)*(x^2 - 1)/((x^2 + x + 1)^2*x^2), x)","F",0
1359,0,0,0,0.000000," ","integrate((x^2+2)*(2*x^2+x-4)*(2*x^4-7*x^2+8)^(1/2)/x^4,x, algorithm=""maxima"")","\int \frac{\sqrt{2 \, x^{4} - 7 \, x^{2} + 8} {\left(2 \, x^{2} + x - 4\right)} {\left(x^{2} + 2\right)}}{x^{4}}\,{d x}"," ",0,"integrate(sqrt(2*x^4 - 7*x^2 + 8)*(2*x^2 + x - 4)*(x^2 + 2)/x^4, x)","F",0
1360,1,162,0,0.417181," ","integrate(x^4*(a*x^4-b)^(3/4),x, algorithm=""maxima"")","\frac{3 \, b^{2} {\left(\frac{2 \, \arctan\left(\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}} - \frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}}{a^{\frac{1}{4}} + \frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}}\right)}{a^{\frac{1}{4}}}\right)}}{128 \, a} + \frac{\frac{{\left(a x^{4} - b\right)}^{\frac{3}{4}} a b^{2}}{x^{3}} + \frac{3 \, {\left(a x^{4} - b\right)}^{\frac{7}{4}} b^{2}}{x^{7}}}{32 \, {\left(a^{3} - \frac{2 \, {\left(a x^{4} - b\right)} a^{2}}{x^{4}} + \frac{{\left(a x^{4} - b\right)}^{2} a}{x^{8}}\right)}}"," ",0,"3/128*b^2*(2*arctan((a*x^4 - b)^(1/4)/(a^(1/4)*x))/a^(1/4) + log(-(a^(1/4) - (a*x^4 - b)^(1/4)/x)/(a^(1/4) + (a*x^4 - b)^(1/4)/x))/a^(1/4))/a + 1/32*((a*x^4 - b)^(3/4)*a*b^2/x^3 + 3*(a*x^4 - b)^(7/4)*b^2/x^7)/(a^3 - 2*(a*x^4 - b)*a^2/x^4 + (a*x^4 - b)^2*a/x^8)","B",0
1361,0,0,0,0.000000," ","integrate((a*x^2-2*b)*(a*x^4+b*x^2)^(1/4)/x^2,x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{2} - 2 \, b\right)}}{x^{2}}\,{d x}"," ",0,"integrate((a*x^4 + b*x^2)^(1/4)*(a*x^2 - 2*b)/x^2, x)","F",0
1362,0,0,0,0.000000," ","integrate((a*x^2+2*b)*(a*x^4+b*x^2)^(1/4)/x^2,x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{2} + 2 \, b\right)}}{x^{2}}\,{d x}"," ",0,"integrate((a*x^4 + b*x^2)^(1/4)*(a*x^2 + 2*b)/x^2, x)","F",0
1363,0,0,0,0.000000," ","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=""maxima"")","\int \frac{2 \, k^{2} x^{3} - {\left(3 \, k^{2} - 1\right)} x}{{\left(k^{6} x^{6} - 3 \, k^{4} x^{4} + {\left(3 \, k^{2} - d\right)} x^{2} + d - 1\right)} \left({\left(k^{2} x^{2} - 1\right)} {\left(x^{2} - 1\right)}\right)^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((2*k^2*x^3 - (3*k^2 - 1)*x)/((k^6*x^6 - 3*k^4*x^4 + (3*k^2 - d)*x^2 + d - 1)*((k^2*x^2 - 1)*(x^2 - 1))^(1/4)), x)","F",0
1364,0,0,0,0.000000," ","integrate((a*x^4-b)/(a*x^4+b)^(1/4)/(x^8-a*x^4+b),x, algorithm=""maxima"")","\int \frac{a x^{4} - b}{{\left(x^{8} - a x^{4} + b\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((a*x^4 - b)/((x^8 - a*x^4 + b)*(a*x^4 + b)^(1/4)), x)","F",0
1365,0,0,0,0.000000," ","integrate((a*x^4-b)/(a*x^4+b)^(1/4)/(x^8-a*x^4+b),x, algorithm=""maxima"")","\int \frac{a x^{4} - b}{{\left(x^{8} - a x^{4} + b\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((a*x^4 - b)/((x^8 - a*x^4 + b)*(a*x^4 + b)^(1/4)), x)","F",0
1366,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{10} + x^{9} + x^{8} - 2 \, x^{5} - x^{4} + 1\right)} {\left(x^{5} + 4\right)}}{{\left(x^{10} - x^{9} - x^{8} - 2 \, x^{5} + x^{4} + 1\right)} {\left(x^{5} - 1\right)}^{\frac{3}{4}} x^{2}}\,{d x}"," ",0,"integrate((x^10 + x^9 + x^8 - 2*x^5 - x^4 + 1)*(x^5 + 4)/((x^10 - x^9 - x^8 - 2*x^5 + x^4 + 1)*(x^5 - 1)^(3/4)*x^2), x)","F",0
1367,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{10} + x^{9} + x^{8} - 2 \, x^{5} - x^{4} + 1\right)} {\left(x^{5} + 4\right)}}{{\left(x^{10} - x^{9} - x^{8} - 2 \, x^{5} + x^{4} + 1\right)} {\left(x^{5} - 1\right)}^{\frac{3}{4}} x^{2}}\,{d x}"," ",0,"integrate((x^10 + x^9 + x^8 - 2*x^5 - x^4 + 1)*(x^5 + 4)/((x^10 - x^9 - x^8 - 2*x^5 + x^4 + 1)*(x^5 - 1)^(3/4)*x^2), x)","F",0
1368,0,0,0,0.000000," ","integrate(1/(a*x^2+(a^2*x^4+b)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}\,{d x}"," ",0,"integrate(1/sqrt(a*x^2 + sqrt(a^2*x^4 + b)), x)","F",0
1369,1,107,0,0.441759," ","integrate((2*a*x^2-3*b)*(a^2*x^2+b^2)^(3/4)/x,x, algorithm=""maxima"")","-\frac{1}{2} \, {\left(6 \, b^{\frac{3}{2}} \arctan\left(\frac{{\left(a^{2} x^{2} + b^{2}\right)}^{\frac{1}{4}}}{\sqrt{b}}\right) + 3 \, b^{\frac{3}{2}} \log\left(-\frac{\sqrt{b} - {\left(a^{2} x^{2} + b^{2}\right)}^{\frac{1}{4}}}{\sqrt{b} + {\left(a^{2} x^{2} + b^{2}\right)}^{\frac{1}{4}}}\right) + 4 \, {\left(a^{2} x^{2} + b^{2}\right)}^{\frac{3}{4}}\right)} b + \frac{4 \, {\left(a^{2} x^{2} + b^{2}\right)}^{\frac{7}{4}}}{7 \, a}"," ",0,"-1/2*(6*b^(3/2)*arctan((a^2*x^2 + b^2)^(1/4)/sqrt(b)) + 3*b^(3/2)*log(-(sqrt(b) - (a^2*x^2 + b^2)^(1/4))/(sqrt(b) + (a^2*x^2 + b^2)^(1/4))) + 4*(a^2*x^2 + b^2)^(3/4))*b + 4/7*(a^2*x^2 + b^2)^(7/4)/a","A",0
1370,0,0,0,0.000000," ","integrate((-1+x)/(x^2-2*x-2)/(x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{x - 1}{\sqrt{x^{3} - 1} {\left(x^{2} - 2 \, x - 2\right)}}\,{d x}"," ",0,"integrate((x - 1)/(sqrt(x^3 - 1)*(x^2 - 2*x - 2)), x)","F",0
1371,0,0,0,0.000000," ","integrate((x^2-x+3)/(x^2-2*x-2)/(x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} - x + 3}{\sqrt{x^{3} - 1} {\left(x^{2} - 2 \, x - 2\right)}}\,{d x}"," ",0,"integrate((x^2 - x + 3)/(sqrt(x^3 - 1)*(x^2 - 2*x - 2)), x)","F",0
1372,0,0,0,0.000000," ","integrate((x^2+2*x)/(x^2-2*x-2)/(x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} + 2 \, x}{\sqrt{x^{3} - 1} {\left(x^{2} - 2 \, x - 2\right)}}\,{d x}"," ",0,"integrate((x^2 + 2*x)/(sqrt(x^3 - 1)*(x^2 - 2*x - 2)), x)","F",0
1373,1,103,0,0.477958," ","integrate((x^3-1)^(1/3)*(x^3+1)/x^7,x, algorithm=""maxima"")","\frac{4}{27} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}} - 1\right)}\right) + \frac{{\left(x^{3} - 1\right)}^{\frac{4}{3}} - 2 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{18 \, {\left(2 \, x^{3} + {\left(x^{3} - 1\right)}^{2} - 1\right)}} - \frac{{\left(x^{3} - 1\right)}^{\frac{1}{3}}}{3 \, x^{3}} - \frac{2}{27} \, \log\left({\left(x^{3} - 1\right)}^{\frac{2}{3}} - {\left(x^{3} - 1\right)}^{\frac{1}{3}} + 1\right) + \frac{4}{27} \, \log\left({\left(x^{3} - 1\right)}^{\frac{1}{3}} + 1\right)"," ",0,"4/27*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^3 - 1)^(1/3) - 1)) + 1/18*((x^3 - 1)^(4/3) - 2*(x^3 - 1)^(1/3))/(2*x^3 + (x^3 - 1)^2 - 1) - 1/3*(x^3 - 1)^(1/3)/x^3 - 2/27*log((x^3 - 1)^(2/3) - (x^3 - 1)^(1/3) + 1) + 4/27*log((x^3 - 1)^(1/3) + 1)","A",0
1374,1,103,0,0.636968," ","integrate((x^3-1)^(1/3)*(2*x^3-1)/x^7,x, algorithm=""maxima"")","\frac{5}{27} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}} - 1\right)}\right) - \frac{{\left(x^{3} - 1\right)}^{\frac{4}{3}} - 2 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{18 \, {\left(2 \, x^{3} + {\left(x^{3} - 1\right)}^{2} - 1\right)}} - \frac{2 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{3 \, x^{3}} - \frac{5}{54} \, \log\left({\left(x^{3} - 1\right)}^{\frac{2}{3}} - {\left(x^{3} - 1\right)}^{\frac{1}{3}} + 1\right) + \frac{5}{27} \, \log\left({\left(x^{3} - 1\right)}^{\frac{1}{3}} + 1\right)"," ",0,"5/27*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^3 - 1)^(1/3) - 1)) - 1/18*((x^3 - 1)^(4/3) - 2*(x^3 - 1)^(1/3))/(2*x^3 + (x^3 - 1)^2 - 1) - 2/3*(x^3 - 1)^(1/3)/x^3 - 5/54*log((x^3 - 1)^(2/3) - (x^3 - 1)^(1/3) + 1) + 5/27*log((x^3 - 1)^(1/3) + 1)","A",0
1375,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(2 \, a b x - {\left(3 \, a - b\right)} x^{2}\right)} {\left(a^{2} - 2 \, a x + x^{2}\right)}}{{\left(a^{3} d - 3 \, a^{2} d x - {\left(d - 1\right)} x^{3} + {\left(3 \, a d - b\right)} x^{2}\right)} \left({\left(a - x\right)} {\left(b - x\right)} x^{2}\right)^{\frac{3}{4}}}\,{d x}"," ",0,"-integrate((2*a*b*x - (3*a - b)*x^2)*(a^2 - 2*a*x + x^2)/((a^3*d - 3*a^2*d*x - (d - 1)*x^3 + (3*a*d - b)*x^2)*((a - x)*(b - x)*x^2)^(3/4)), x)","F",0
1376,0,0,0,0.000000," ","integrate((x^2+1)/((2*x^2-x-2)/(x^2+x-1))^(1/2)/(x^4-x^2+1),x, algorithm=""maxima"")","\int \frac{x^{2} + 1}{{\left(x^{4} - x^{2} + 1\right)} \sqrt{\frac{2 \, x^{2} - x - 2}{x^{2} + x - 1}}}\,{d x}"," ",0,"integrate((x^2 + 1)/((x^4 - x^2 + 1)*sqrt((2*x^2 - x - 2)/(x^2 + x - 1))), x)","F",0
1377,0,0,0,0.000000," ","integrate((a*x^4-2*b)/x^4/(a*x^4+b)/(a*x^4-b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{4} - 2 \, b}{{\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{4} + b\right)} x^{4}}\,{d x}"," ",0,"integrate((a*x^4 - 2*b)/((a*x^4 - b*x^2)^(1/4)*(a*x^4 + b)*x^4), x)","F",0
1378,0,0,0,0.000000," ","integrate((a*x^4-2*b)/x^4/(a*x^4+b)/(a*x^4-b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{4} - 2 \, b}{{\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{4} + b\right)} x^{4}}\,{d x}"," ",0,"integrate((a*x^4 - 2*b)/((a*x^4 - b*x^2)^(1/4)*(a*x^4 + b)*x^4), x)","F",0
1379,0,0,0,0.000000," ","integrate((a*x^4+b*x^3)^(1/4),x, algorithm=""maxima"")","\int {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}\,{d x}"," ",0,"integrate((a*x^4 + b*x^3)^(1/4), x)","F",0
1380,1,93,0,0.416827," ","integrate(1/x^13/(x^6-1)^(1/3),x, algorithm=""maxima"")","\frac{1}{27} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{6} - 1\right)}^{\frac{1}{3}} - 1\right)}\right) + \frac{4 \, {\left(x^{6} - 1\right)}^{\frac{5}{3}} + 7 \, {\left(x^{6} - 1\right)}^{\frac{2}{3}}}{36 \, {\left(2 \, x^{6} + {\left(x^{6} - 1\right)}^{2} - 1\right)}} + \frac{1}{54} \, \log\left({\left(x^{6} - 1\right)}^{\frac{2}{3}} - {\left(x^{6} - 1\right)}^{\frac{1}{3}} + 1\right) - \frac{1}{27} \, \log\left({\left(x^{6} - 1\right)}^{\frac{1}{3}} + 1\right)"," ",0,"1/27*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^6 - 1)^(1/3) - 1)) + 1/36*(4*(x^6 - 1)^(5/3) + 7*(x^6 - 1)^(2/3))/(2*x^6 + (x^6 - 1)^2 - 1) + 1/54*log((x^6 - 1)^(2/3) - (x^6 - 1)^(1/3) + 1) - 1/27*log((x^6 - 1)^(1/3) + 1)","A",0
1381,0,0,0,0.000000," ","integrate((2*a*x^4+b)/(a*x^4+b)^(1/4)/(x^8-a*x^4-2*b),x, algorithm=""maxima"")","\int \frac{2 \, a x^{4} + b}{{\left(x^{8} - a x^{4} - 2 \, b\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((2*a*x^4 + b)/((x^8 - a*x^4 - 2*b)*(a*x^4 + b)^(1/4)), x)","F",0
1382,0,0,0,0.000000," ","integrate((a*x^4+2*b)/(a*x^4+b*x^2)^(1/4)/(2*x^8-a*x^4-b),x, algorithm=""maxima"")","\int \frac{a x^{4} + 2 \, b}{{\left(2 \, x^{8} - a x^{4} - b\right)} {\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((a*x^4 + 2*b)/((2*x^8 - a*x^4 - b)*(a*x^4 + b*x^2)^(1/4)), x)","F",0
1383,0,0,0,0.000000," ","integrate((a*x^4+2*b)/(a*x^4+b*x^2)^(1/4)/(2*x^8-a*x^4-b),x, algorithm=""maxima"")","\int \frac{a x^{4} + 2 \, b}{{\left(2 \, x^{8} - a x^{4} - b\right)} {\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((a*x^4 + 2*b)/((2*x^8 - a*x^4 - b)*(a*x^4 + b*x^2)^(1/4)), x)","F",0
1384,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(4 \, x^{4} - 4 \, x^{2} + 4 \, x - 1\right)} {\left(2 \, x^{2} - 1\right)}}{{\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)} {\left(2 \, x^{2} + 1\right)} \sqrt{-\frac{2 \, x^{2} - 1}{2 \, x^{2} + 1}}}\,{d x}"," ",0,"integrate((4*x^4 - 4*x^2 + 4*x - 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)*(2*x^2 + 1)*sqrt(-(2*x^2 - 1)/(2*x^2 + 1))), x)","F",0
1385,0,0,0,0.000000," ","integrate((x^2+1)^(1/2)/(x^2+(x+(x^2+1)^(1/2))^(1/2)),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{2} + 1}}{x^{2} + \sqrt{x + \sqrt{x^{2} + 1}}}\,{d x}"," ",0,"integrate(sqrt(x^2 + 1)/(x^2 + sqrt(x + sqrt(x^2 + 1))), x)","F",0
1386,0,0,0,0.000000," ","integrate((x^2+1)^(1/2)/(x^2+(x+(x^2+1)^(1/2))^(1/2)),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{2} + 1}}{x^{2} + \sqrt{x + \sqrt{x^{2} + 1}}}\,{d x}"," ",0,"integrate(sqrt(x^2 + 1)/(x^2 + sqrt(x + sqrt(x^2 + 1))), x)","F",0
1387,0,0,0,0.000000," ","integrate((k*x^2+1)/(c*k*x+k*x^2-1)/((-x^2+1)*(-k^2*x^2+1))^(1/2),x, algorithm=""maxima"")","\int \frac{k x^{2} + 1}{{\left(c k x + k x^{2} - 1\right)} \sqrt{{\left(k^{2} x^{2} - 1\right)} {\left(x^{2} - 1\right)}}}\,{d x}"," ",0,"integrate((k*x^2 + 1)/((c*k*x + k*x^2 - 1)*sqrt((k^2*x^2 - 1)*(x^2 - 1))), x)","F",0
1388,-2,0,0,0.000000," ","integrate((k*x^2-1)/(c*k*x+k*x^2+1)/((-x^2+1)*(-k^2*x^2+1))^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(c^2*k-4>0)', see `assume?` for more details)Is c^2*k-4 positive, negative or zero?","F(-2)",0
1389,0,0,0,0.000000," ","integrate(x^2*(x^3+x)^(1/3),x, algorithm=""maxima"")","\int {\left(x^{3} + x\right)}^{\frac{1}{3}} x^{2}\,{d x}"," ",0,"integrate((x^3 + x)^(1/3)*x^2, x)","F",0
1390,0,0,0,0.000000," ","integrate((x^2+2*x+6)/(x^2+2)^(1/3)/(x^3-2*x^2+3*x+1),x, algorithm=""maxima"")","\int \frac{x^{2} + 2 \, x + 6}{{\left(x^{3} - 2 \, x^{2} + 3 \, x + 1\right)} {\left(x^{2} + 2\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((x^2 + 2*x + 6)/((x^3 - 2*x^2 + 3*x + 1)*(x^2 + 2)^(1/3)), x)","F",0
1391,0,0,0,0.000000," ","integrate((x^3+x^2)^(1/3)/x^2,x, algorithm=""maxima"")","\int \frac{{\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}{x^{2}}\,{d x}"," ",0,"integrate((x^3 + x^2)^(1/3)/x^2, x)","F",0
1392,1,146,0,0.457582," ","integrate((x^4+1)^(1/3)*(x^4+3)/x^13,x, algorithm=""maxima"")","-\frac{1}{54} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{4} + 1\right)}^{\frac{1}{3}} + 1\right)}\right) + \frac{5 \, {\left(x^{4} + 1\right)}^{\frac{7}{3}} - 13 \, {\left(x^{4} + 1\right)}^{\frac{4}{3}} - 10 \, {\left(x^{4} + 1\right)}^{\frac{1}{3}}}{72 \, {\left(3 \, x^{4} + {\left(x^{4} + 1\right)}^{3} - 3 \, {\left(x^{4} + 1\right)}^{2} + 2\right)}} + \frac{{\left(x^{4} + 1\right)}^{\frac{4}{3}} + 2 \, {\left(x^{4} + 1\right)}^{\frac{1}{3}}}{24 \, {\left(2 \, x^{4} - {\left(x^{4} + 1\right)}^{2} + 1\right)}} - \frac{1}{108} \, \log\left({\left(x^{4} + 1\right)}^{\frac{2}{3}} + {\left(x^{4} + 1\right)}^{\frac{1}{3}} + 1\right) + \frac{1}{54} \, \log\left({\left(x^{4} + 1\right)}^{\frac{1}{3}} - 1\right)"," ",0,"-1/54*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^4 + 1)^(1/3) + 1)) + 1/72*(5*(x^4 + 1)^(7/3) - 13*(x^4 + 1)^(4/3) - 10*(x^4 + 1)^(1/3))/(3*x^4 + (x^4 + 1)^3 - 3*(x^4 + 1)^2 + 2) + 1/24*((x^4 + 1)^(4/3) + 2*(x^4 + 1)^(1/3))/(2*x^4 - (x^4 + 1)^2 + 1) - 1/108*log((x^4 + 1)^(2/3) + (x^4 + 1)^(1/3) + 1) + 1/54*log((x^4 + 1)^(1/3) - 1)","A",0
1393,0,0,0,0.000000," ","integrate((x^4-1)^(2/3)*(x^4+3)*(x^4+x^3-1)/x^6/(x^4-x^3-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + x^{3} - 1\right)} {\left(x^{4} + 3\right)} {\left(x^{4} - 1\right)}^{\frac{2}{3}}}{{\left(x^{4} - x^{3} - 1\right)} x^{6}}\,{d x}"," ",0,"integrate((x^4 + x^3 - 1)*(x^4 + 3)*(x^4 - 1)^(2/3)/((x^4 - x^3 - 1)*x^6), x)","F",0
1394,0,0,0,0.000000," ","integrate((x^4-3)*(x^4+1)^(2/3)*(x^4+x^3+1)/x^6/(x^4-x^3+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + x^{3} + 1\right)} {\left(x^{4} + 1\right)}^{\frac{2}{3}} {\left(x^{4} - 3\right)}}{{\left(x^{4} - x^{3} + 1\right)} x^{6}}\,{d x}"," ",0,"integrate((x^4 + x^3 + 1)*(x^4 + 1)^(2/3)*(x^4 - 3)/((x^4 - x^3 + 1)*x^6), x)","F",0
1395,0,0,0,0.000000," ","integrate((a*x^2-b)/(x^4+a*x^2+b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{2} - b}{{\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} + a x^{2} + b\right)}}\,{d x}"," ",0,"integrate((a*x^2 - b)/((a*x^4 + b*x^2)^(1/4)*(x^4 + a*x^2 + b)), x)","F",0
1396,0,0,0,0.000000," ","integrate((a*x^2-b)/(x^4+a*x^2+b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{2} - b}{{\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} + a x^{2} + b\right)}}\,{d x}"," ",0,"integrate((a*x^2 - b)/((a*x^4 + b*x^2)^(1/4)*(x^4 + a*x^2 + b)), x)","F",0
1397,0,0,0,0.000000," ","integrate((x^3-1)*(x^3+1)^(2/3)/x^3/(x^6-x^3-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} + 1\right)}^{\frac{2}{3}} {\left(x^{3} - 1\right)}}{{\left(x^{6} - x^{3} - 1\right)} x^{3}}\,{d x}"," ",0,"integrate((x^3 + 1)^(2/3)*(x^3 - 1)/((x^6 - x^3 - 1)*x^3), x)","F",0
1398,0,0,0,0.000000," ","integrate((x^3-1)*(x^3+1)^(2/3)/x^3/(x^6-x^3-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} + 1\right)}^{\frac{2}{3}} {\left(x^{3} - 1\right)}}{{\left(x^{6} - x^{3} - 1\right)} x^{3}}\,{d x}"," ",0,"integrate((x^3 + 1)^(2/3)*(x^3 - 1)/((x^6 - x^3 - 1)*x^3), x)","F",0
1399,0,0,0,0.000000," ","integrate((2*x^7+1)^(1/3)*(8*x^7-3)/x^2/(2*x^7+x^3+1),x, algorithm=""maxima"")","\int \frac{{\left(8 \, x^{7} - 3\right)} {\left(2 \, x^{7} + 1\right)}^{\frac{1}{3}}}{{\left(2 \, x^{7} + x^{3} + 1\right)} x^{2}}\,{d x}"," ",0,"integrate((8*x^7 - 3)*(2*x^7 + 1)^(1/3)/((2*x^7 + x^3 + 1)*x^2), x)","F",0
1400,0,0,0,0.000000," ","integrate((2*a*x^4-b)/(a*x^4+b)^(1/4)/(x^8+a*x^4-b),x, algorithm=""maxima"")","\int \frac{2 \, a x^{4} - b}{{\left(x^{8} + a x^{4} - b\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((2*a*x^4 - b)/((x^8 + a*x^4 - b)*(a*x^4 + b)^(1/4)), x)","F",0
1401,0,0,0,0.000000," ","integrate((2*a*x^4-b)/(a*x^4+b)^(1/4)/(x^8+a*x^4-b),x, algorithm=""maxima"")","\int \frac{2 \, a x^{4} - b}{{\left(x^{8} + a x^{4} - b\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((2*a*x^4 - b)/((x^8 + a*x^4 - b)*(a*x^4 + b)^(1/4)), x)","F",0
1402,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{x^{8} + x^{5} + 2 \, x^{4} + x + 1} {\left(3 \, x^{4} - 1\right)}}{{\left(4 \, x^{4} + x + 4\right)} x^{2}}\,{d x}"," ",0,"integrate(sqrt(x^8 + x^5 + 2*x^4 + x + 1)*(3*x^4 - 1)/((4*x^4 + x + 4)*x^2), x)","F",0
1403,1,217,0,0.420649," ","integrate((a*x^8+c*x^4-b)/x^2/(a*x^4-b)^(3/4),x, algorithm=""maxima"")","\frac{1}{4} \, c {\left(\frac{2 \, \arctan\left(\frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}} x}\right)}{a^{\frac{3}{4}}} - \frac{\log\left(-\frac{a^{\frac{1}{4}} - \frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}}{a^{\frac{1}{4}} + \frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}}\right)}{a^{\frac{3}{4}}}\right)} + \frac{1}{16} \, a {\left(\frac{3 \, {\left(\frac{2 \, b \arctan\left(\frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}} x}\right)}{a^{\frac{3}{4}}} - \frac{b \log\left(-\frac{a^{\frac{1}{4}} - \frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}}{a^{\frac{1}{4}} + \frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}}\right)}{a^{\frac{3}{4}}}\right)}}{a} + \frac{4 \, {\left(a x^{4} - b\right)}^{\frac{1}{4}} b}{{\left(a^{2} - \frac{{\left(a x^{4} - b\right)} a}{x^{4}}\right)} x}\right)} - \frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}"," ",0,"1/4*c*(2*arctan((a*x^4 - b)^(1/4)/(a^(1/4)*x))/a^(3/4) - log(-(a^(1/4) - (a*x^4 - b)^(1/4)/x)/(a^(1/4) + (a*x^4 - b)^(1/4)/x))/a^(3/4)) + 1/16*a*(3*(2*b*arctan((a*x^4 - b)^(1/4)/(a^(1/4)*x))/a^(3/4) - b*log(-(a^(1/4) - (a*x^4 - b)^(1/4)/x)/(a^(1/4) + (a*x^4 - b)^(1/4)/x))/a^(3/4))/a + 4*(a*x^4 - b)^(1/4)*b/((a^2 - (a*x^4 - b)*a/x^4)*x)) - (a*x^4 - b)^(1/4)/x","B",0
1404,0,0,0,0.000000," ","integrate(1/(1+x)/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x + \sqrt{x^{2} + 1}} {\left(x + 1\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(x + sqrt(x^2 + 1))*(x + 1)), x)","F",0
1405,0,0,0,0.000000," ","integrate(1/x/(a*x+(a^2*x^2+b^2)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} x}\,{d x}"," ",0,"integrate(1/(sqrt(a*x + sqrt(a^2*x^2 + b^2))*x), x)","F",0
1406,1,168,0,0.418070," ","integrate((-3+x)^6*(x^2-x-1)^(3/2)/(-1+x),x, algorithm=""maxima"")","\frac{1}{9} \, {\left(x^{2} - x - 1\right)}^{\frac{5}{2}} x^{4} - \frac{293}{144} \, {\left(x^{2} - x - 1\right)}^{\frac{5}{2}} x^{3} + \frac{30889}{2016} \, {\left(x^{2} - x - 1\right)}^{\frac{5}{2}} x^{2} - \frac{482705}{8064} \, {\left(x^{2} - x - 1\right)}^{\frac{5}{2}} x + \frac{9904793}{80640} \, {\left(x^{2} - x - 1\right)}^{\frac{5}{2}} - \frac{213909}{2048} \, {\left(x^{2} - x - 1\right)}^{\frac{3}{2}} x + \frac{903871}{12288} \, {\left(x^{2} - x - 1\right)}^{\frac{3}{2}} + \frac{3470779}{16384} \, \sqrt{x^{2} - x - 1} x - \frac{5567931}{32768} \, \sqrt{x^{2} - x - 1} + 64 \, \arcsin\left(\frac{\sqrt{5} x}{5 \, {\left| x - 1 \right|}} - \frac{3 \, \sqrt{5}}{5 \, {\left| x - 1 \right|}}\right) - \frac{19451047}{65536} \, \log\left(2 \, x + 2 \, \sqrt{x^{2} - x - 1} - 1\right)"," ",0,"1/9*(x^2 - x - 1)^(5/2)*x^4 - 293/144*(x^2 - x - 1)^(5/2)*x^3 + 30889/2016*(x^2 - x - 1)^(5/2)*x^2 - 482705/8064*(x^2 - x - 1)^(5/2)*x + 9904793/80640*(x^2 - x - 1)^(5/2) - 213909/2048*(x^2 - x - 1)^(3/2)*x + 903871/12288*(x^2 - x - 1)^(3/2) + 3470779/16384*sqrt(x^2 - x - 1)*x - 5567931/32768*sqrt(x^2 - x - 1) + 64*arcsin(1/5*sqrt(5)*x/abs(x - 1) - 3/5*sqrt(5)/abs(x - 1)) - 19451047/65536*log(2*x + 2*sqrt(x^2 - x - 1) - 1)","A",0
1407,1,93,0,0.418579," ","integrate((x^3-1)*(x^3+1)^(1/3)/x^5,x, algorithm=""maxima"")","\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x} + 1\right)}\right) - \frac{{\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x} + \frac{{\left(x^{3} + 1\right)}^{\frac{4}{3}}}{4 \, x^{4}} + \frac{1}{6} \, \log\left(\frac{{\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x} + \frac{{\left(x^{3} + 1\right)}^{\frac{2}{3}}}{x^{2}} + 1\right) - \frac{1}{3} \, \log\left(\frac{{\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x} - 1\right)"," ",0,"1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^3 + 1)^(1/3)/x + 1)) - (x^3 + 1)^(1/3)/x + 1/4*(x^3 + 1)^(4/3)/x^4 + 1/6*log((x^3 + 1)^(1/3)/x + (x^3 + 1)^(2/3)/x^2 + 1) - 1/3*log((x^3 + 1)^(1/3)/x - 1)","A",0
1408,1,105,0,0.457855," ","integrate((x^3-1)*(x^3+1)^(1/3)/x^2,x, algorithm=""maxima"")","-\frac{2}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x} + 1\right)}\right) + \frac{{\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x} + \frac{{\left(x^{3} + 1\right)}^{\frac{1}{3}}}{3 \, x {\left(\frac{x^{3} + 1}{x^{3}} - 1\right)}} - \frac{1}{9} \, \log\left(\frac{{\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x} + \frac{{\left(x^{3} + 1\right)}^{\frac{2}{3}}}{x^{2}} + 1\right) + \frac{2}{9} \, \log\left(\frac{{\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x} - 1\right)"," ",0,"-2/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^3 + 1)^(1/3)/x + 1)) + (x^3 + 1)^(1/3)/x + 1/3*(x^3 + 1)^(1/3)/(x*((x^3 + 1)/x^3 - 1)) - 1/9*log((x^3 + 1)^(1/3)/x + (x^3 + 1)^(2/3)/x^2 + 1) + 2/9*log((x^3 + 1)^(1/3)/x - 1)","A",0
1409,1,93,0,0.442351," ","integrate((x^3-1)^(1/3)*(x^3+1)/x^5,x, algorithm=""maxima"")","\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} + 1\right)}\right) - \frac{{\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} + \frac{{\left(x^{3} - 1\right)}^{\frac{4}{3}}}{4 \, x^{4}} + \frac{1}{6} \, \log\left(\frac{{\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} + \frac{{\left(x^{3} - 1\right)}^{\frac{2}{3}}}{x^{2}} + 1\right) - \frac{1}{3} \, \log\left(\frac{{\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} - 1\right)"," ",0,"1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^3 - 1)^(1/3)/x + 1)) - (x^3 - 1)^(1/3)/x + 1/4*(x^3 - 1)^(4/3)/x^4 + 1/6*log((x^3 - 1)^(1/3)/x + (x^3 - 1)^(2/3)/x^2 + 1) - 1/3*log((x^3 - 1)^(1/3)/x - 1)","A",0
1410,0,0,0,0.000000," ","integrate(x/(x^2+1)/(x^3-x^2-x)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{x^{3} - x^{2} - x} {\left(x^{2} + 1\right)}}\,{d x}"," ",0,"integrate(x/(sqrt(x^3 - x^2 - x)*(x^2 + 1)), x)","F",0
1411,0,0,0,0.000000," ","integrate((x^2+x-1)/(x^2+1)/(x^3-x^2-x)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} + x - 1}{\sqrt{x^{3} - x^{2} - x} {\left(x^{2} + 1\right)}}\,{d x}"," ",0,"integrate((x^2 + x - 1)/(sqrt(x^3 - x^2 - x)*(x^2 + 1)), x)","F",0
1412,0,0,0,0.000000," ","integrate(x/(x^3+x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{x}{{\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(x/(x^3 + x^2)^(1/3), x)","F",0
1413,0,0,0,0.000000," ","integrate(1/x^6/(x^3+1)/(x^3+x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(x^{3} + 1\right)} x^{6}}\,{d x}"," ",0,"integrate(1/((x^3 + x^2)^(1/3)*(x^3 + 1)*x^6), x)","F",0
1414,0,0,0,0.000000," ","integrate(1/x^6/(x^3+1)/(x^3+x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(x^{3} + 1\right)} x^{6}}\,{d x}"," ",0,"integrate(1/((x^3 + x^2)^(1/3)*(x^3 + 1)*x^6), x)","F",0
1415,1,93,0,0.443881," ","integrate((x^3-1)^(1/3)*(2*x^3-1)/x^5,x, algorithm=""maxima"")","\frac{2}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} + 1\right)}\right) - \frac{2 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} - \frac{{\left(x^{3} - 1\right)}^{\frac{4}{3}}}{4 \, x^{4}} + \frac{1}{3} \, \log\left(\frac{{\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} + \frac{{\left(x^{3} - 1\right)}^{\frac{2}{3}}}{x^{2}} + 1\right) - \frac{2}{3} \, \log\left(\frac{{\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} - 1\right)"," ",0,"2/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^3 - 1)^(1/3)/x + 1)) - 2*(x^3 - 1)^(1/3)/x - 1/4*(x^3 - 1)^(4/3)/x^4 + 1/3*log((x^3 - 1)^(1/3)/x + (x^3 - 1)^(2/3)/x^2 + 1) - 2/3*log((x^3 - 1)^(1/3)/x - 1)","A",0
1416,0,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(3*x^3-1)/x^6/(2*x^3-1),x, algorithm=""maxima"")","\int \frac{{\left(3 \, x^{3} - 1\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{{\left(2 \, x^{3} - 1\right)} x^{6}}\,{d x}"," ",0,"integrate((3*x^3 - 1)*(x^3 - 1)^(2/3)/((2*x^3 - 1)*x^6), x)","F",0
1417,0,0,0,0.000000," ","integrate(x^4/(x^4-1)^2/(x^4+x^2)^(1/4),x, algorithm=""maxima"")","\frac{2 \, {\left(4 \, x^{5} + x^{3} - 3 \, x\right)} x^{\frac{7}{2}}}{21 \, {\left(x^{8} - 2 \, x^{4} + 1\right)} {\left(x^{2} + 1\right)}^{\frac{1}{4}}} + \int \frac{16 \, {\left(4 \, x^{4} + x^{2} - 3\right)} x^{\frac{7}{2}}}{21 \, {\left(x^{12} - 3 \, x^{8} + 3 \, x^{4} - 1\right)} {\left(x^{2} + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"2/21*(4*x^5 + x^3 - 3*x)*x^(7/2)/((x^8 - 2*x^4 + 1)*(x^2 + 1)^(1/4)) + integrate(16/21*(4*x^4 + x^2 - 3)*x^(7/2)/((x^12 - 3*x^8 + 3*x^4 - 1)*(x^2 + 1)^(1/4)), x)","F",0
1418,0,0,0,0.000000," ","integrate((x^2+1)*(x^4+x^3)^(1/4)/x^2/(x^2-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(x^{2} + 1\right)}}{{\left(x^{2} - 1\right)} x^{2}}\,{d x}"," ",0,"integrate((x^4 + x^3)^(1/4)*(x^2 + 1)/((x^2 - 1)*x^2), x)","F",0
1419,0,0,0,0.000000," ","integrate((x^3+4)*(x^4-x^3-1)/x^2/(x^3+1)^(3/4)/(x^4+x^3+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - x^{3} - 1\right)} {\left(x^{3} + 4\right)}}{{\left(x^{4} + x^{3} + 1\right)} {\left(x^{3} + 1\right)}^{\frac{3}{4}} x^{2}}\,{d x}"," ",0,"integrate((x^4 - x^3 - 1)*(x^3 + 4)/((x^4 + x^3 + 1)*(x^3 + 1)^(3/4)*x^2), x)","F",0
1420,0,0,0,0.000000," ","integrate((2*x^4+x^2+1)/(x^2+1)^(1/4)/(x^4+3*x^2+2),x, algorithm=""maxima"")","\int \frac{2 \, x^{4} + x^{2} + 1}{{\left(x^{4} + 3 \, x^{2} + 2\right)} {\left(x^{2} + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((2*x^4 + x^2 + 1)/((x^4 + 3*x^2 + 2)*(x^2 + 1)^(1/4)), x)","F",0
1421,0,0,0,0.000000," ","integrate((a*x^2-b)*(a*x^4-b*x^2)^(1/4)/x^2,x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{2} - b\right)}}{x^{2}}\,{d x}"," ",0,"integrate((a*x^4 - b*x^2)^(1/4)*(a*x^2 - b)/x^2, x)","F",0
1422,0,0,0,0.000000," ","integrate((a*x^4+b)/x^4/(a*x^4+2*b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{4} + b}{{\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{4} + 2 \, b\right)} x^{4}}\,{d x}"," ",0,"integrate((a*x^4 + b)/((a*x^4 + b*x^2)^(1/4)*(a*x^4 + 2*b)*x^4), x)","F",0
1423,0,0,0,0.000000," ","integrate((a*x^4+b)/x^4/(a*x^4+2*b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{4} + b}{{\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{4} + 2 \, b\right)} x^{4}}\,{d x}"," ",0,"integrate((a*x^4 + b)/((a*x^4 + b*x^2)^(1/4)*(a*x^4 + 2*b)*x^4), x)","F",0
1424,0,0,0,0.000000," ","integrate((-x^4+1)/x^2/(a*x^4+b*x^3+c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","-\int \frac{x^{4} - 1}{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} x^{2}}\,{d x}"," ",0,"-integrate((x^4 - 1)/(sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*x^2), x)","F",0
1425,0,0,0,0.000000," ","integrate((x^2-1)/(x^2+1)/(x^6+x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{2} - 1}{{\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(x^{2} + 1\right)}}\,{d x}"," ",0,"integrate((x^2 - 1)/((x^6 + x^2)^(1/4)*(x^2 + 1)), x)","F",0
1426,0,0,0,0.000000," ","integrate((x^2-1)/(x^2+1)/(x^6+x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{2} - 1}{{\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(x^{2} + 1\right)}}\,{d x}"," ",0,"integrate((x^2 - 1)/((x^6 + x^2)^(1/4)*(x^2 + 1)), x)","F",0
1427,0,0,0,0.000000," ","integrate((x^4-x^3)^(1/4)*(x^8-1)/x^4,x, algorithm=""maxima"")","\int \frac{{\left(x^{8} - 1\right)} {\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{x^{4}}\,{d x}"," ",0,"integrate((x^8 - 1)*(x^4 - x^3)^(1/4)/x^4, x)","F",0
1428,0,0,0,0.000000," ","integrate((x^4+1)^(1/4)*(x^4+2)/x^2/(x^8+2*x^4-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + 2\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{{\left(x^{8} + 2 \, x^{4} - 1\right)} x^{2}}\,{d x}"," ",0,"integrate((x^4 + 2)*(x^4 + 1)^(1/4)/((x^8 + 2*x^4 - 1)*x^2), x)","F",0
1429,0,0,0,0.000000," ","integrate((x^4+1)^(1/4)*(x^4+2)/x^2/(x^8+2*x^4-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + 2\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}}}{{\left(x^{8} + 2 \, x^{4} - 1\right)} x^{2}}\,{d x}"," ",0,"integrate((x^4 + 2)*(x^4 + 1)^(1/4)/((x^8 + 2*x^4 - 1)*x^2), x)","F",0
1430,0,0,0,0.000000," ","integrate((2*a*x^4-b)/(a*x^4-b)^(1/4)/(a*x^8-b),x, algorithm=""maxima"")","\int \frac{2 \, a x^{4} - b}{{\left(a x^{8} - b\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((2*a*x^4 - b)/((a*x^8 - b)*(a*x^4 - b)^(1/4)), x)","F",0
1431,0,0,0,0.000000," ","integrate((2*x^6+1)^(1/2)*(4*x^6-1)/(8*x^12+8*x^6+x^4+2),x, algorithm=""maxima"")","\int \frac{{\left(4 \, x^{6} - 1\right)} \sqrt{2 \, x^{6} + 1}}{8 \, x^{12} + 8 \, x^{6} + x^{4} + 2}\,{d x}"," ",0,"integrate((4*x^6 - 1)*sqrt(2*x^6 + 1)/(8*x^12 + 8*x^6 + x^4 + 2), x)","F",0
1432,0,0,0,0.000000," ","integrate((x^2-1)*(1+(1+x)^(1/2))^(1/2)/(x^2+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{2} - 1\right)} \sqrt{\sqrt{x + 1} + 1}}{x^{2} + 1}\,{d x}"," ",0,"integrate((x^2 - 1)*sqrt(sqrt(x + 1) + 1)/(x^2 + 1), x)","F",0
1433,0,0,0,0.000000," ","integrate((x^2-1)*(1+(1+x)^(1/2))^(1/2)/(x^2+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{2} - 1\right)} \sqrt{\sqrt{x + 1} + 1}}{x^{2} + 1}\,{d x}"," ",0,"integrate((x^2 - 1)*sqrt(sqrt(x + 1) + 1)/(x^2 + 1), x)","F",0
1434,0,0,0,0.000000," ","integrate(x^2*(x^2+(x^4+1)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{x^{2} + \sqrt{x^{4} + 1}} x^{2}\,{d x}"," ",0,"integrate(sqrt(x^2 + sqrt(x^4 + 1))*x^2, x)","F",0
1435,0,0,0,0.000000," ","integrate((x^4-1)*(x^2+(x^4+1)^(1/2))^(1/2)/(x^4+1)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - 1\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}}}{\sqrt{x^{4} + 1}}\,{d x}"," ",0,"integrate((x^4 - 1)*sqrt(x^2 + sqrt(x^4 + 1))/sqrt(x^4 + 1), x)","F",0
1436,0,0,0,0.000000," ","integrate((x^4+1)^(1/2)*(x^2+(x^4+1)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{x^{4} + 1} \sqrt{x^{2} + \sqrt{x^{4} + 1}}\,{d x}"," ",0,"integrate(sqrt(x^4 + 1)*sqrt(x^2 + sqrt(x^4 + 1)), x)","F",0
1437,1,121,0,0.420184," ","integrate(x^3*(x^3-1)^(2/3),x, algorithm=""maxima"")","\frac{1}{27} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} + 1\right)}\right) - \frac{\frac{{\left(x^{3} - 1\right)}^{\frac{2}{3}}}{x^{2}} + \frac{2 \, {\left(x^{3} - 1\right)}^{\frac{5}{3}}}{x^{5}}}{18 \, {\left(\frac{2 \, {\left(x^{3} - 1\right)}}{x^{3}} - \frac{{\left(x^{3} - 1\right)}^{2}}{x^{6}} - 1\right)}} - \frac{1}{54} \, \log\left(\frac{{\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} + \frac{{\left(x^{3} - 1\right)}^{\frac{2}{3}}}{x^{2}} + 1\right) + \frac{1}{27} \, \log\left(\frac{{\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} - 1\right)"," ",0,"1/27*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^3 - 1)^(1/3)/x + 1)) - 1/18*((x^3 - 1)^(2/3)/x^2 + 2*(x^3 - 1)^(5/3)/x^5)/(2*(x^3 - 1)/x^3 - (x^3 - 1)^2/x^6 - 1) - 1/54*log((x^3 - 1)^(1/3)/x + (x^3 - 1)^(2/3)/x^2 + 1) + 1/27*log((x^3 - 1)^(1/3)/x - 1)","A",0
1438,1,121,0,0.421983," ","integrate(x^4*(x^3+1)^(1/3),x, algorithm=""maxima"")","-\frac{1}{27} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x} + 1\right)}\right) - \frac{\frac{2 \, {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x} + \frac{{\left(x^{3} + 1\right)}^{\frac{4}{3}}}{x^{4}}}{18 \, {\left(\frac{2 \, {\left(x^{3} + 1\right)}}{x^{3}} - \frac{{\left(x^{3} + 1\right)}^{2}}{x^{6}} - 1\right)}} - \frac{1}{54} \, \log\left(\frac{{\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x} + \frac{{\left(x^{3} + 1\right)}^{\frac{2}{3}}}{x^{2}} + 1\right) + \frac{1}{27} \, \log\left(\frac{{\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x} - 1\right)"," ",0,"-1/27*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^3 + 1)^(1/3)/x + 1)) - 1/18*(2*(x^3 + 1)^(1/3)/x + (x^3 + 1)^(4/3)/x^4)/(2*(x^3 + 1)/x^3 - (x^3 + 1)^2/x^6 - 1) - 1/54*log((x^3 + 1)^(1/3)/x + (x^3 + 1)^(2/3)/x^2 + 1) + 1/27*log((x^3 + 1)^(1/3)/x - 1)","A",0
1439,1,121,0,0.412978," ","integrate(x^3*(x^3+1)^(2/3),x, algorithm=""maxima"")","\frac{1}{27} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x} + 1\right)}\right) - \frac{\frac{{\left(x^{3} + 1\right)}^{\frac{2}{3}}}{x^{2}} + \frac{2 \, {\left(x^{3} + 1\right)}^{\frac{5}{3}}}{x^{5}}}{18 \, {\left(\frac{2 \, {\left(x^{3} + 1\right)}}{x^{3}} - \frac{{\left(x^{3} + 1\right)}^{2}}{x^{6}} - 1\right)}} - \frac{1}{54} \, \log\left(\frac{{\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x} + \frac{{\left(x^{3} + 1\right)}^{\frac{2}{3}}}{x^{2}} + 1\right) + \frac{1}{27} \, \log\left(\frac{{\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x} - 1\right)"," ",0,"1/27*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^3 + 1)^(1/3)/x + 1)) - 1/18*((x^3 + 1)^(2/3)/x^2 + 2*(x^3 + 1)^(5/3)/x^5)/(2*(x^3 + 1)/x^3 - (x^3 + 1)^2/x^6 - 1) - 1/54*log((x^3 + 1)^(1/3)/x + (x^3 + 1)^(2/3)/x^2 + 1) + 1/27*log((x^3 + 1)^(1/3)/x - 1)","A",0
1440,0,0,0,0.000000," ","integrate((x^3-2)^(2/3)*(x^3+4)/x^6/(x^3-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} + 4\right)} {\left(x^{3} - 2\right)}^{\frac{2}{3}}}{{\left(x^{3} - 1\right)} x^{6}}\,{d x}"," ",0,"integrate((x^3 + 4)*(x^3 - 2)^(2/3)/((x^3 - 1)*x^6), x)","F",0
1441,0,0,0,0.000000," ","integrate((a*x^2+3*b)/(a*x^2+x^3+b)/(a*x^3+b*x)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{2} + 3 \, b}{{\left(a x^{3} + b x\right)}^{\frac{1}{4}} {\left(a x^{2} + x^{3} + b\right)}}\,{d x}"," ",0,"integrate((a*x^2 + 3*b)/((a*x^3 + b*x)^(1/4)*(a*x^2 + x^3 + b)), x)","F",0
1442,1,146,0,0.446815," ","integrate((x^4-3)*(x^4+1)^(1/3)/x^13,x, algorithm=""maxima"")","\frac{2}{27} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{4} + 1\right)}^{\frac{1}{3}} + 1\right)}\right) - \frac{5 \, {\left(x^{4} + 1\right)}^{\frac{7}{3}} - 13 \, {\left(x^{4} + 1\right)}^{\frac{4}{3}} - 10 \, {\left(x^{4} + 1\right)}^{\frac{1}{3}}}{72 \, {\left(3 \, x^{4} + {\left(x^{4} + 1\right)}^{3} - 3 \, {\left(x^{4} + 1\right)}^{2} + 2\right)}} + \frac{{\left(x^{4} + 1\right)}^{\frac{4}{3}} + 2 \, {\left(x^{4} + 1\right)}^{\frac{1}{3}}}{24 \, {\left(2 \, x^{4} - {\left(x^{4} + 1\right)}^{2} + 1\right)}} + \frac{1}{27} \, \log\left({\left(x^{4} + 1\right)}^{\frac{2}{3}} + {\left(x^{4} + 1\right)}^{\frac{1}{3}} + 1\right) - \frac{2}{27} \, \log\left({\left(x^{4} + 1\right)}^{\frac{1}{3}} - 1\right)"," ",0,"2/27*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^4 + 1)^(1/3) + 1)) - 1/72*(5*(x^4 + 1)^(7/3) - 13*(x^4 + 1)^(4/3) - 10*(x^4 + 1)^(1/3))/(3*x^4 + (x^4 + 1)^3 - 3*(x^4 + 1)^2 + 2) + 1/24*((x^4 + 1)^(4/3) + 2*(x^4 + 1)^(1/3))/(2*x^4 - (x^4 + 1)^2 + 1) + 1/27*log((x^4 + 1)^(2/3) + (x^4 + 1)^(1/3) + 1) - 2/27*log((x^4 + 1)^(1/3) - 1)","A",0
1443,0,0,0,0.000000," ","integrate((a*x^2-2*b)/(a*x^2-b)^(1/4)/(x^4+a*x^2-b),x, algorithm=""maxima"")","\int \frac{a x^{2} - 2 \, b}{{\left(x^{4} + a x^{2} - b\right)} {\left(a x^{2} - b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((a*x^2 - 2*b)/((x^4 + a*x^2 - b)*(a*x^2 - b)^(1/4)), x)","F",0
1444,0,0,0,0.000000," ","integrate((a*x^3-4*b)/(a*x^3-b)^(1/4)/(a*x^3+x^4-b),x, algorithm=""maxima"")","\int \frac{a x^{3} - 4 \, b}{{\left(a x^{3} + x^{4} - b\right)} {\left(a x^{3} - b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((a*x^3 - 4*b)/((a*x^3 + x^4 - b)*(a*x^3 - b)^(1/4)), x)","F",0
1445,0,0,0,0.000000," ","integrate((a*x^2+b)/(x^4-a*x^2+b)/(a*x^4-b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{2} + b}{{\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} - a x^{2} + b\right)}}\,{d x}"," ",0,"integrate((a*x^2 + b)/((a*x^4 - b*x^2)^(1/4)*(x^4 - a*x^2 + b)), x)","F",0
1446,0,0,0,0.000000," ","integrate((a*x^2+b)/(x^4-a*x^2+b)/(a*x^4-b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{2} + b}{{\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} - a x^{2} + b\right)}}\,{d x}"," ",0,"integrate((a*x^2 + b)/((a*x^4 - b*x^2)^(1/4)*(x^4 - a*x^2 + b)), x)","F",0
1447,0,0,0,0.000000," ","integrate((a*x^4+b)/x^4/(a*x^4-2*b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{4} + b}{{\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{4} - 2 \, b\right)} x^{4}}\,{d x}"," ",0,"integrate((a*x^4 + b)/((a*x^4 + b*x^2)^(1/4)*(a*x^4 - 2*b)*x^4), x)","F",0
1448,0,0,0,0.000000," ","integrate((a*x^4+b)/x^4/(a*x^4-2*b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{4} + b}{{\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{4} - 2 \, b\right)} x^{4}}\,{d x}"," ",0,"integrate((a*x^4 + b)/((a*x^4 + b*x^2)^(1/4)*(a*x^4 - 2*b)*x^4), x)","F",0
1449,0,0,0,0.000000," ","integrate((x^3-1)*(x^3+1)^3*(x^6+1)^(2/3)/x^6/(x^6-x^3+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} + 1\right)}^{\frac{2}{3}} {\left(x^{3} + 1\right)}^{3} {\left(x^{3} - 1\right)}}{{\left(x^{6} - x^{3} + 1\right)} x^{6}}\,{d x}"," ",0,"integrate((x^6 + 1)^(2/3)*(x^3 + 1)^3*(x^3 - 1)/((x^6 - x^3 + 1)*x^6), x)","F",0
1450,0,0,0,0.000000," ","integrate((x^6-1)^(2/3)*(x^6+1)*(2*x^6+x^3-2)/x^6/(x^6-x^3-1),x, algorithm=""maxima"")","\int \frac{{\left(2 \, x^{6} + x^{3} - 2\right)} {\left(x^{6} + 1\right)} {\left(x^{6} - 1\right)}^{\frac{2}{3}}}{{\left(x^{6} - x^{3} - 1\right)} x^{6}}\,{d x}"," ",0,"integrate((2*x^6 + x^3 - 2)*(x^6 + 1)*(x^6 - 1)^(2/3)/((x^6 - x^3 - 1)*x^6), x)","F",0
1451,0,0,0,0.000000," ","integrate(1/(a*x^4+b)^(1/4)/(x^8+a*x^4-b),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{8} + a x^{4} - b\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((x^8 + a*x^4 - b)*(a*x^4 + b)^(1/4)), x)","F",0
1452,0,0,0,0.000000," ","integrate(1/(a*x^4+b)^(1/4)/(x^8+a*x^4-b),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{8} + a x^{4} - b\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((x^8 + a*x^4 - b)*(a*x^4 + b)^(1/4)), x)","F",0
1453,0,0,0,0.000000," ","integrate((a*x^4-b)/(a*x^4-b*x^2)^(1/4)/(2*x^8+2*a*x^4-b),x, algorithm=""maxima"")","\int \frac{a x^{4} - b}{{\left(2 \, x^{8} + 2 \, a x^{4} - b\right)} {\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((a*x^4 - b)/((2*x^8 + 2*a*x^4 - b)*(a*x^4 - b*x^2)^(1/4)), x)","F",0
1454,0,0,0,0.000000," ","integrate((a*x^4-b)/(a*x^4-b*x^2)^(1/4)/(2*x^8+2*a*x^4-b),x, algorithm=""maxima"")","\int \frac{a x^{4} - b}{{\left(2 \, x^{8} + 2 \, a x^{4} - b\right)} {\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((a*x^4 - b)/((2*x^8 + 2*a*x^4 - b)*(a*x^4 - b*x^2)^(1/4)), x)","F",0
1455,0,0,0,0.000000," ","integrate((c*x^2-x*(a*x^2-b*x)^(1/2))^(1/2)/x^3,x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2} - \sqrt{a x^{2} - b x} x}}{x^{3}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 - sqrt(a*x^2 - b*x)*x)/x^3, x)","F",0
1456,0,0,0,0.000000," ","integrate(x/(x+(x+(x^2+1)^(1/2))^(1/2)),x, algorithm=""maxima"")","\int \frac{x}{x + \sqrt{x + \sqrt{x^{2} + 1}}}\,{d x}"," ",0,"integrate(x/(x + sqrt(x + sqrt(x^2 + 1))), x)","F",0
1457,0,0,0,0.000000," ","integrate(x/(x+(x+(x^2+1)^(1/2))^(1/2)),x, algorithm=""maxima"")","\int \frac{x}{x + \sqrt{x + \sqrt{x^{2} + 1}}}\,{d x}"," ",0,"integrate(x/(x + sqrt(x + sqrt(x^2 + 1))), x)","F",0
1458,0,0,0,0.000000," ","integrate((1+x)/(x^2+2*x-2)/(x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x + 1}{\sqrt{x^{3} + 1} {\left(x^{2} + 2 \, x - 2\right)}}\,{d x}"," ",0,"integrate((x + 1)/(sqrt(x^3 + 1)*(x^2 + 2*x - 2)), x)","F",0
1459,0,0,0,0.000000," ","integrate((x^2+x+3)/(x^2+2*x-2)/(x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} + x + 3}{\sqrt{x^{3} + 1} {\left(x^{2} + 2 \, x - 2\right)}}\,{d x}"," ",0,"integrate((x^2 + x + 3)/(sqrt(x^3 + 1)*(x^2 + 2*x - 2)), x)","F",0
1460,0,0,0,0.000000," ","integrate((2*x^2-x+3)/(x^2+2*x-2)/(x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{2 \, x^{2} - x + 3}{\sqrt{x^{3} + 1} {\left(x^{2} + 2 \, x - 2\right)}}\,{d x}"," ",0,"integrate((2*x^2 - x + 3)/(sqrt(x^3 + 1)*(x^2 + 2*x - 2)), x)","F",0
1461,1,106,0,0.558923," ","integrate((x^3-1)^(2/3)*(x^3+1)/x^3,x, algorithm=""maxima"")","-\frac{1}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} + 1\right)}\right) - \frac{{\left(x^{3} - 1\right)}^{\frac{2}{3}}}{2 \, x^{2}} - \frac{{\left(x^{3} - 1\right)}^{\frac{2}{3}}}{3 \, x^{2} {\left(\frac{x^{3} - 1}{x^{3}} - 1\right)}} + \frac{1}{18} \, \log\left(\frac{{\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} + \frac{{\left(x^{3} - 1\right)}^{\frac{2}{3}}}{x^{2}} + 1\right) - \frac{1}{9} \, \log\left(\frac{{\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} - 1\right)"," ",0,"-1/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^3 - 1)^(1/3)/x + 1)) - 1/2*(x^3 - 1)^(2/3)/x^2 - 1/3*(x^3 - 1)^(2/3)/(x^2*((x^3 - 1)/x^3 - 1)) + 1/18*log((x^3 - 1)^(1/3)/x + (x^3 - 1)^(2/3)/x^2 + 1) - 1/9*log((x^3 - 1)^(1/3)/x - 1)","A",0
1462,1,189,0,0.513994," ","integrate(x^8*(a*x^4+b)^(3/4),x, algorithm=""maxima"")","-\frac{5 \, b^{3} {\left(\frac{2 \, \arctan\left(\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}} - \frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}}{a^{\frac{1}{4}} + \frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}}\right)}{a^{\frac{1}{4}}}\right)}}{512 \, a^{2}} - \frac{\frac{5 \, {\left(a x^{4} + b\right)}^{\frac{3}{4}} a^{2} b^{3}}{x^{3}} + \frac{42 \, {\left(a x^{4} + b\right)}^{\frac{7}{4}} a b^{3}}{x^{7}} - \frac{15 \, {\left(a x^{4} + b\right)}^{\frac{11}{4}} b^{3}}{x^{11}}}{384 \, {\left(a^{5} - \frac{3 \, {\left(a x^{4} + b\right)} a^{4}}{x^{4}} + \frac{3 \, {\left(a x^{4} + b\right)}^{2} a^{3}}{x^{8}} - \frac{{\left(a x^{4} + b\right)}^{3} a^{2}}{x^{12}}\right)}}"," ",0,"-5/512*b^3*(2*arctan((a*x^4 + b)^(1/4)/(a^(1/4)*x))/a^(1/4) + log(-(a^(1/4) - (a*x^4 + b)^(1/4)/x)/(a^(1/4) + (a*x^4 + b)^(1/4)/x))/a^(1/4))/a^2 - 1/384*(5*(a*x^4 + b)^(3/4)*a^2*b^3/x^3 + 42*(a*x^4 + b)^(7/4)*a*b^3/x^7 - 15*(a*x^4 + b)^(11/4)*b^3/x^11)/(a^5 - 3*(a*x^4 + b)*a^4/x^4 + 3*(a*x^4 + b)^2*a^3/x^8 - (a*x^4 + b)^3*a^2/x^12)","B",0
1463,0,0,0,0.000000," ","integrate(1/(a*x^3-b)/(a*x^4+b*x)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(a x^{4} + b x\right)}^{\frac{1}{4}} {\left(a x^{3} - b\right)}}\,{d x}"," ",0,"integrate(1/((a*x^4 + b*x)^(1/4)*(a*x^3 - b)), x)","F",0
1464,0,0,0,0.000000," ","integrate((x^3-2)*(x^3+1)^(2/3)/x^3/(2*x^6+x^3-2),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} + 1\right)}^{\frac{2}{3}} {\left(x^{3} - 2\right)}}{{\left(2 \, x^{6} + x^{3} - 2\right)} x^{3}}\,{d x}"," ",0,"integrate((x^3 + 1)^(2/3)*(x^3 - 2)/((2*x^6 + x^3 - 2)*x^3), x)","F",0
1465,0,0,0,0.000000," ","integrate((x^3-2)*(x^3+1)^(2/3)/x^3/(2*x^6+x^3-2),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} + 1\right)}^{\frac{2}{3}} {\left(x^{3} - 2\right)}}{{\left(2 \, x^{6} + x^{3} - 2\right)} x^{3}}\,{d x}"," ",0,"integrate((x^3 + 1)^(2/3)*(x^3 - 2)/((2*x^6 + x^3 - 2)*x^3), x)","F",0
1466,0,0,0,0.000000," ","integrate(x^2*(x^4-2)/(x^5-x)^(1/3)/(x^8+x^4-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - 2\right)} x^{2}}{{\left(x^{8} + x^{4} - 1\right)} {\left(x^{5} - x\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((x^4 - 2)*x^2/((x^8 + x^4 - 1)*(x^5 - x)^(1/3)), x)","F",0
1467,0,0,0,0.000000," ","integrate((2*a*x^4-b)/(a*x^4-b)^(1/4)/(x^8-a*x^4-b),x, algorithm=""maxima"")","\int \frac{2 \, a x^{4} - b}{{\left(x^{8} - a x^{4} - b\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((2*a*x^4 - b)/((x^8 - a*x^4 - b)*(a*x^4 - b)^(1/4)), x)","F",0
1468,0,0,0,0.000000," ","integrate((a*x^4-2*b)/(a*x^4+b)^(1/4)/(x^8+a*x^4-2*b),x, algorithm=""maxima"")","\int \frac{a x^{4} - 2 \, b}{{\left(x^{8} + a x^{4} - 2 \, b\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((a*x^4 - 2*b)/((x^8 + a*x^4 - 2*b)*(a*x^4 + b)^(1/4)), x)","F",0
1469,0,0,0,0.000000," ","integrate(1/x^2/(a*x+(a^2*x^2+b^2)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} x^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(a*x + sqrt(a^2*x^2 + b^2))*x^2), x)","F",0
1470,1,111,0,0.408678," ","integrate((x^3-1)^(1/3)/x^10,x, algorithm=""maxima"")","\frac{5}{243} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}} - 1\right)}\right) + \frac{5 \, {\left(x^{3} - 1\right)}^{\frac{7}{3}} + 13 \, {\left(x^{3} - 1\right)}^{\frac{4}{3}} - 10 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{162 \, {\left({\left(x^{3} - 1\right)}^{3} + 3 \, x^{3} + 3 \, {\left(x^{3} - 1\right)}^{2} - 2\right)}} - \frac{5}{486} \, \log\left({\left(x^{3} - 1\right)}^{\frac{2}{3}} - {\left(x^{3} - 1\right)}^{\frac{1}{3}} + 1\right) + \frac{5}{243} \, \log\left({\left(x^{3} - 1\right)}^{\frac{1}{3}} + 1\right)"," ",0,"5/243*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^3 - 1)^(1/3) - 1)) + 1/162*(5*(x^3 - 1)^(7/3) + 13*(x^3 - 1)^(4/3) - 10*(x^3 - 1)^(1/3))/((x^3 - 1)^3 + 3*x^3 + 3*(x^3 - 1)^2 - 2) - 5/486*log((x^3 - 1)^(2/3) - (x^3 - 1)^(1/3) + 1) + 5/243*log((x^3 - 1)^(1/3) + 1)","A",0
1471,1,121,0,0.460929," ","integrate(x^4*(x^3-1)^(1/3),x, algorithm=""maxima"")","-\frac{1}{27} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} + 1\right)}\right) - \frac{\frac{2 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} + \frac{{\left(x^{3} - 1\right)}^{\frac{4}{3}}}{x^{4}}}{18 \, {\left(\frac{2 \, {\left(x^{3} - 1\right)}}{x^{3}} - \frac{{\left(x^{3} - 1\right)}^{2}}{x^{6}} - 1\right)}} - \frac{1}{54} \, \log\left(\frac{{\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} + \frac{{\left(x^{3} - 1\right)}^{\frac{2}{3}}}{x^{2}} + 1\right) + \frac{1}{27} \, \log\left(\frac{{\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} - 1\right)"," ",0,"-1/27*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^3 - 1)^(1/3)/x + 1)) - 1/18*(2*(x^3 - 1)^(1/3)/x + (x^3 - 1)^(4/3)/x^4)/(2*(x^3 - 1)/x^3 - (x^3 - 1)^2/x^6 - 1) - 1/54*log((x^3 - 1)^(1/3)/x + (x^3 - 1)^(2/3)/x^2 + 1) + 1/27*log((x^3 - 1)^(1/3)/x - 1)","A",0
1472,0,0,0,0.000000," ","integrate((x^3-x)^(1/3),x, algorithm=""maxima"")","\int {\left(x^{3} - x\right)}^{\frac{1}{3}}\,{d x}"," ",0,"integrate((x^3 - x)^(1/3), x)","F",0
1473,1,146,0,0.405539," ","integrate((x^3-1)^(1/3)*(2*x^3-1)/x^10,x, algorithm=""maxima"")","\frac{13}{243} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}} - 1\right)}\right) - \frac{5 \, {\left(x^{3} - 1\right)}^{\frac{7}{3}} + 13 \, {\left(x^{3} - 1\right)}^{\frac{4}{3}} - 10 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{162 \, {\left({\left(x^{3} - 1\right)}^{3} + 3 \, x^{3} + 3 \, {\left(x^{3} - 1\right)}^{2} - 2\right)}} + \frac{{\left(x^{3} - 1\right)}^{\frac{4}{3}} - 2 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{9 \, {\left(2 \, x^{3} + {\left(x^{3} - 1\right)}^{2} - 1\right)}} - \frac{13}{486} \, \log\left({\left(x^{3} - 1\right)}^{\frac{2}{3}} - {\left(x^{3} - 1\right)}^{\frac{1}{3}} + 1\right) + \frac{13}{243} \, \log\left({\left(x^{3} - 1\right)}^{\frac{1}{3}} + 1\right)"," ",0,"13/243*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^3 - 1)^(1/3) - 1)) - 1/162*(5*(x^3 - 1)^(7/3) + 13*(x^3 - 1)^(4/3) - 10*(x^3 - 1)^(1/3))/((x^3 - 1)^3 + 3*x^3 + 3*(x^3 - 1)^2 - 2) + 1/9*((x^3 - 1)^(4/3) - 2*(x^3 - 1)^(1/3))/(2*x^3 + (x^3 - 1)^2 - 1) - 13/486*log((x^3 - 1)^(2/3) - (x^3 - 1)^(1/3) + 1) + 13/243*log((x^3 - 1)^(1/3) + 1)","A",0
1474,0,0,0,0.000000," ","integrate((k^3*x^3+1)/((1-x)*x*(-k^2*x+1))^(1/2)/(k^3*x^3-1),x, algorithm=""maxima"")","\int \frac{k^{3} x^{3} + 1}{{\left(k^{3} x^{3} - 1\right)} \sqrt{{\left(k^{2} x - 1\right)} {\left(x - 1\right)} x}}\,{d x}"," ",0,"integrate((k^3*x^3 + 1)/((k^3*x^3 - 1)*sqrt((k^2*x - 1)*(x - 1)*x)), x)","F",0
1475,0,0,0,0.000000," ","integrate((x^4-3)*(x^4+1)^(2/3)*(x^4+2*x^3+1)/x^6/(x^4-x^3+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + 2 \, x^{3} + 1\right)} {\left(x^{4} + 1\right)}^{\frac{2}{3}} {\left(x^{4} - 3\right)}}{{\left(x^{4} - x^{3} + 1\right)} x^{6}}\,{d x}"," ",0,"integrate((x^4 + 2*x^3 + 1)*(x^4 + 1)^(2/3)*(x^4 - 3)/((x^4 - x^3 + 1)*x^6), x)","F",0
1476,0,0,0,0.000000," ","integrate((a*x^4+b)^(3/4)/x^4/(a*x^4+2*b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} + b\right)}^{\frac{3}{4}}}{{\left(a x^{4} + 2 \, b\right)} x^{4}}\,{d x}"," ",0,"integrate((a*x^4 + b)^(3/4)/((a*x^4 + 2*b)*x^4), x)","F",0
1477,0,0,0,0.000000," ","integrate((a*x^3-b)/x^3/(a*x^4-b*x)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{3} - b}{{\left(a x^{4} - b x\right)}^{\frac{1}{4}} x^{3}}\,{d x}"," ",0,"integrate((a*x^3 - b)/((a*x^4 - b*x)^(1/4)*x^3), x)","F",0
1478,0,0,0,0.000000," ","integrate((a*x^3+b)/x^3/(a*x^4-b*x)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{3} + b}{{\left(a x^{4} - b x\right)}^{\frac{1}{4}} x^{3}}\,{d x}"," ",0,"integrate((a*x^3 + b)/((a*x^4 - b*x)^(1/4)*x^3), x)","F",0
1479,0,0,0,0.000000," ","integrate((a*x^4-b*x)^(1/4)/x^2,x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} - b x\right)}^{\frac{1}{4}}}{x^{2}}\,{d x}"," ",0,"integrate((a*x^4 - b*x)^(1/4)/x^2, x)","F",0
1480,0,0,0,0.000000," ","integrate(1/(x^4-a*x^2+b)/(a*x^4-b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} - a x^{2} + b\right)}}\,{d x}"," ",0,"integrate(1/((a*x^4 - b*x^2)^(1/4)*(x^4 - a*x^2 + b)), x)","F",0
1481,0,0,0,0.000000," ","integrate(1/(x^4-a*x^2+b)/(a*x^4-b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} - a x^{2} + b\right)}}\,{d x}"," ",0,"integrate(1/((a*x^4 - b*x^2)^(1/4)*(x^4 - a*x^2 + b)), x)","F",0
1482,1,115,0,0.413080," ","integrate((a*x^4-b)/x^4/(2*a*x^4-b)^(1/4),x, algorithm=""maxima"")","-\frac{1}{8} \, {\left(\frac{2 \cdot 2^{\frac{3}{4}} \arctan\left(\frac{2^{\frac{3}{4}} {\left(2 \, a x^{4} - b\right)}^{\frac{1}{4}}}{2 \, a^{\frac{1}{4}} x}\right)}{a^{\frac{1}{4}}} + \frac{2^{\frac{3}{4}} \log\left(-\frac{2^{\frac{1}{4}} a^{\frac{1}{4}} - \frac{{\left(2 \, a x^{4} - b\right)}^{\frac{1}{4}}}{x}}{2^{\frac{1}{4}} a^{\frac{1}{4}} + \frac{{\left(2 \, a x^{4} - b\right)}^{\frac{1}{4}}}{x}}\right)}{a^{\frac{1}{4}}}\right)} a - \frac{{\left(2 \, a x^{4} - b\right)}^{\frac{3}{4}}}{3 \, x^{3}}"," ",0,"-1/8*(2*2^(3/4)*arctan(1/2*2^(3/4)*(2*a*x^4 - b)^(1/4)/(a^(1/4)*x))/a^(1/4) + 2^(3/4)*log(-(2^(1/4)*a^(1/4) - (2*a*x^4 - b)^(1/4)/x)/(2^(1/4)*a^(1/4) + (2*a*x^4 - b)^(1/4)/x))/a^(1/4))*a - 1/3*(2*a*x^4 - b)^(3/4)/x^3","A",0
1483,0,0,0,0.000000," ","integrate(x^4*(a*x^5+4*b)/(a*x^5-b)^2/(a*x^5+c*x^4-b)^(1/4),x, algorithm=""maxima"")","\int \frac{{\left(a x^{5} + 4 \, b\right)} x^{4}}{{\left(a x^{5} + c x^{4} - b\right)}^{\frac{1}{4}} {\left(a x^{5} - b\right)}^{2}}\,{d x}"," ",0,"integrate((a*x^5 + 4*b)*x^4/((a*x^5 + c*x^4 - b)^(1/4)*(a*x^5 - b)^2), x)","F",0
1484,1,111,0,0.426864," ","integrate(1/x^19/(x^6-1)^(1/3),x, algorithm=""maxima"")","\frac{7}{243} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{6} - 1\right)}^{\frac{1}{3}} - 1\right)}\right) + \frac{28 \, {\left(x^{6} - 1\right)}^{\frac{8}{3}} + 77 \, {\left(x^{6} - 1\right)}^{\frac{5}{3}} + 67 \, {\left(x^{6} - 1\right)}^{\frac{2}{3}}}{324 \, {\left(3 \, x^{6} + {\left(x^{6} - 1\right)}^{3} + 3 \, {\left(x^{6} - 1\right)}^{2} - 2\right)}} + \frac{7}{486} \, \log\left({\left(x^{6} - 1\right)}^{\frac{2}{3}} - {\left(x^{6} - 1\right)}^{\frac{1}{3}} + 1\right) - \frac{7}{243} \, \log\left({\left(x^{6} - 1\right)}^{\frac{1}{3}} + 1\right)"," ",0,"7/243*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^6 - 1)^(1/3) - 1)) + 1/324*(28*(x^6 - 1)^(8/3) + 77*(x^6 - 1)^(5/3) + 67*(x^6 - 1)^(2/3))/(3*x^6 + (x^6 - 1)^3 + 3*(x^6 - 1)^2 - 2) + 7/486*log((x^6 - 1)^(2/3) - (x^6 - 1)^(1/3) + 1) - 7/243*log((x^6 - 1)^(1/3) + 1)","A",0
1485,1,94,0,0.431655," ","integrate(x^7/(x^6-1)^(1/3),x, algorithm=""maxima"")","-\frac{1}{18} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}} + 1\right)}\right) - \frac{{\left(x^{6} - 1\right)}^{\frac{2}{3}}}{6 \, x^{4} {\left(\frac{x^{6} - 1}{x^{6}} - 1\right)}} + \frac{1}{36} \, \log\left(\frac{{\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}} + \frac{{\left(x^{6} - 1\right)}^{\frac{2}{3}}}{x^{4}} + 1\right) - \frac{1}{18} \, \log\left(\frac{{\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}} - 1\right)"," ",0,"-1/18*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^6 - 1)^(1/3)/x^2 + 1)) - 1/6*(x^6 - 1)^(2/3)/(x^4*((x^6 - 1)/x^6 - 1)) + 1/36*log((x^6 - 1)^(1/3)/x^2 + (x^6 - 1)^(2/3)/x^4 + 1) - 1/18*log((x^6 - 1)^(1/3)/x^2 - 1)","A",0
1486,1,94,0,0.415140," ","integrate(x^3*(x^6-1)^(1/3),x, algorithm=""maxima"")","-\frac{1}{18} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}} + 1\right)}\right) - \frac{{\left(x^{6} - 1\right)}^{\frac{1}{3}}}{6 \, x^{2} {\left(\frac{x^{6} - 1}{x^{6}} - 1\right)}} - \frac{1}{36} \, \log\left(\frac{{\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}} + \frac{{\left(x^{6} - 1\right)}^{\frac{2}{3}}}{x^{4}} + 1\right) + \frac{1}{18} \, \log\left(\frac{{\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}} - 1\right)"," ",0,"-1/18*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^6 - 1)^(1/3)/x^2 + 1)) - 1/6*(x^6 - 1)^(1/3)/(x^2*((x^6 - 1)/x^6 - 1)) - 1/36*log((x^6 - 1)^(1/3)/x^2 + (x^6 - 1)^(2/3)/x^4 + 1) + 1/18*log((x^6 - 1)^(1/3)/x^2 - 1)","A",0
1487,1,94,0,0.424691," ","integrate(x*(x^6-1)^(2/3),x, algorithm=""maxima"")","\frac{1}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}} + 1\right)}\right) - \frac{{\left(x^{6} - 1\right)}^{\frac{2}{3}}}{6 \, x^{4} {\left(\frac{x^{6} - 1}{x^{6}} - 1\right)}} - \frac{1}{18} \, \log\left(\frac{{\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}} + \frac{{\left(x^{6} - 1\right)}^{\frac{2}{3}}}{x^{4}} + 1\right) + \frac{1}{9} \, \log\left(\frac{{\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}} - 1\right)"," ",0,"1/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^6 - 1)^(1/3)/x^2 + 1)) - 1/6*(x^6 - 1)^(2/3)/(x^4*((x^6 - 1)/x^6 - 1)) - 1/18*log((x^6 - 1)^(1/3)/x^2 + (x^6 - 1)^(2/3)/x^4 + 1) + 1/9*log((x^6 - 1)^(1/3)/x^2 - 1)","A",0
1488,1,94,0,0.415511," ","integrate(x^7/(x^6+1)^(1/3),x, algorithm=""maxima"")","\frac{1}{18} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{6} + 1\right)}^{\frac{1}{3}}}{x^{2}} + 1\right)}\right) + \frac{{\left(x^{6} + 1\right)}^{\frac{2}{3}}}{6 \, x^{4} {\left(\frac{x^{6} + 1}{x^{6}} - 1\right)}} - \frac{1}{36} \, \log\left(\frac{{\left(x^{6} + 1\right)}^{\frac{1}{3}}}{x^{2}} + \frac{{\left(x^{6} + 1\right)}^{\frac{2}{3}}}{x^{4}} + 1\right) + \frac{1}{18} \, \log\left(\frac{{\left(x^{6} + 1\right)}^{\frac{1}{3}}}{x^{2}} - 1\right)"," ",0,"1/18*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^6 + 1)^(1/3)/x^2 + 1)) + 1/6*(x^6 + 1)^(2/3)/(x^4*((x^6 + 1)/x^6 - 1)) - 1/36*log((x^6 + 1)^(1/3)/x^2 + (x^6 + 1)^(2/3)/x^4 + 1) + 1/18*log((x^6 + 1)^(1/3)/x^2 - 1)","A",0
1489,1,94,0,0.414756," ","integrate(x^3*(x^6+1)^(1/3),x, algorithm=""maxima"")","\frac{1}{18} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{6} + 1\right)}^{\frac{1}{3}}}{x^{2}} + 1\right)}\right) + \frac{{\left(x^{6} + 1\right)}^{\frac{1}{3}}}{6 \, x^{2} {\left(\frac{x^{6} + 1}{x^{6}} - 1\right)}} + \frac{1}{36} \, \log\left(\frac{{\left(x^{6} + 1\right)}^{\frac{1}{3}}}{x^{2}} + \frac{{\left(x^{6} + 1\right)}^{\frac{2}{3}}}{x^{4}} + 1\right) - \frac{1}{18} \, \log\left(\frac{{\left(x^{6} + 1\right)}^{\frac{1}{3}}}{x^{2}} - 1\right)"," ",0,"1/18*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^6 + 1)^(1/3)/x^2 + 1)) + 1/6*(x^6 + 1)^(1/3)/(x^2*((x^6 + 1)/x^6 - 1)) + 1/36*log((x^6 + 1)^(1/3)/x^2 + (x^6 + 1)^(2/3)/x^4 + 1) - 1/18*log((x^6 + 1)^(1/3)/x^2 - 1)","A",0
1490,1,94,0,0.422688," ","integrate(x*(x^6+1)^(2/3),x, algorithm=""maxima"")","-\frac{1}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{6} + 1\right)}^{\frac{1}{3}}}{x^{2}} + 1\right)}\right) + \frac{{\left(x^{6} + 1\right)}^{\frac{2}{3}}}{6 \, x^{4} {\left(\frac{x^{6} + 1}{x^{6}} - 1\right)}} + \frac{1}{18} \, \log\left(\frac{{\left(x^{6} + 1\right)}^{\frac{1}{3}}}{x^{2}} + \frac{{\left(x^{6} + 1\right)}^{\frac{2}{3}}}{x^{4}} + 1\right) - \frac{1}{9} \, \log\left(\frac{{\left(x^{6} + 1\right)}^{\frac{1}{3}}}{x^{2}} - 1\right)"," ",0,"-1/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^6 + 1)^(1/3)/x^2 + 1)) + 1/6*(x^6 + 1)^(2/3)/(x^4*((x^6 + 1)/x^6 - 1)) + 1/18*log((x^6 + 1)^(1/3)/x^2 + (x^6 + 1)^(2/3)/x^4 + 1) - 1/9*log((x^6 + 1)^(1/3)/x^2 - 1)","A",0
1491,0,0,0,0.000000," ","integrate((x^5-x^3+1)*(2*x^5-3)/x^3/(x^5+x^3+1)/(x^6+x)^(1/4),x, algorithm=""maxima"")","\int \frac{{\left(2 \, x^{5} - 3\right)} {\left(x^{5} - x^{3} + 1\right)}}{{\left(x^{6} + x\right)}^{\frac{1}{4}} {\left(x^{5} + x^{3} + 1\right)} x^{3}}\,{d x}"," ",0,"integrate((2*x^5 - 3)*(x^5 - x^3 + 1)/((x^6 + x)^(1/4)*(x^5 + x^3 + 1)*x^3), x)","F",0
1492,0,0,0,0.000000," ","integrate(x/(x^6-x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{x}{{\left(x^{6} - x^{2}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(x/(x^6 - x^2)^(1/3), x)","F",0
1493,0,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(x^3+2)/x^3/(x^6+x^3-4),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} + 2\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{{\left(x^{6} + x^{3} - 4\right)} x^{3}}\,{d x}"," ",0,"integrate((x^3 + 2)*(x^3 - 1)^(2/3)/((x^6 + x^3 - 4)*x^3), x)","F",0
1494,0,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(x^3+2)/x^3/(x^6+x^3-4),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} + 2\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{{\left(x^{6} + x^{3} - 4\right)} x^{3}}\,{d x}"," ",0,"integrate((x^3 + 2)*(x^3 - 1)^(2/3)/((x^6 + x^3 - 4)*x^3), x)","F",0
1495,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{3} - x + 1\right)}^{\frac{2}{3}} {\left(2 \, x - 3\right)}}{2 \, x^{6} - 2 \, x^{4} + 2 \, x^{3} + x^{2} - 2 \, x + 1}\,{d x}"," ",0,"integrate((x^3 - x + 1)^(2/3)*(2*x - 3)/(2*x^6 - 2*x^4 + 2*x^3 + x^2 - 2*x + 1), x)","F",0
1496,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{6} + 2 \, x^{4} - 2\right)}^{\frac{1}{4}} {\left(x^{6} + 4\right)} {\left(x^{6} - 2\right)}}{{\left(2 \, x^{6} - x^{4} - 4\right)} x^{6}}\,{d x}"," ",0,"integrate((x^6 + 2*x^4 - 2)^(1/4)*(x^6 + 4)*(x^6 - 2)/((2*x^6 - x^4 - 4)*x^6), x)","F",0
1497,0,0,0,0.000000," ","integrate((x^3+1)^(2/3)*(3*x^6-1)/x^9/(2*x^3+1),x, algorithm=""maxima"")","\int \frac{{\left(3 \, x^{6} - 1\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{{\left(2 \, x^{3} + 1\right)} x^{9}}\,{d x}"," ",0,"integrate((3*x^6 - 1)*(x^3 + 1)^(2/3)/((2*x^3 + 1)*x^9), x)","F",0
1498,0,0,0,0.000000," ","integrate((-x^4+1)^(1/2)*(x^4+1)/(x^8-x^4+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + 1\right)} \sqrt{-x^{4} + 1}}{x^{8} - x^{4} + 1}\,{d x}"," ",0,"integrate((x^4 + 1)*sqrt(-x^4 + 1)/(x^8 - x^4 + 1), x)","F",0
1499,0,0,0,0.000000," ","integrate(x^2/(a*x^4+b)^(3/4)/(a^2*x^8-b^2),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(a^{2} x^{8} - b^{2}\right)} {\left(a x^{4} + b\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(x^2/((a^2*x^8 - b^2)*(a*x^4 + b)^(3/4)), x)","F",0
1500,0,0,0,0.000000," ","integrate((1+(x^2+1)^(1/2))^(1/2)/(x+(x^2+1)^(1/2)),x, algorithm=""maxima"")","\int \frac{\sqrt{\sqrt{x^{2} + 1} + 1}}{x + \sqrt{x^{2} + 1}}\,{d x}"," ",0,"integrate(sqrt(sqrt(x^2 + 1) + 1)/(x + sqrt(x^2 + 1)), x)","F",0
1501,0,0,0,0.000000," ","integrate((2+x)^2/x/(x^2-2*x+4)/(x^2+x+1)^(1/3),x, algorithm=""maxima"")","\int \frac{{\left(x + 2\right)}^{2}}{{\left(x^{2} + x + 1\right)}^{\frac{1}{3}} {\left(x^{2} - 2 \, x + 4\right)} x}\,{d x}"," ",0,"integrate((x + 2)^2/((x^2 + x + 1)^(1/3)*(x^2 - 2*x + 4)*x), x)","F",0
1502,0,0,0,0.000000," ","integrate(1/(a*x^2-2*b)/(a*x^2-b)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(a x^{2} - b\right)}^{\frac{1}{4}} {\left(a x^{2} - 2 \, b\right)}}\,{d x}"," ",0,"integrate(1/((a*x^2 - b)^(1/4)*(a*x^2 - 2*b)), x)","F",0
1503,1,117,0,0.428904," ","integrate((-1+x)/x^7/(x^3+1)^(1/3),x, algorithm=""maxima"")","-\frac{2}{27} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{3} + 1\right)}^{\frac{1}{3}} + 1\right)}\right) + \frac{4 \, {\left(x^{3} + 1\right)}^{\frac{5}{3}} - 7 \, {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{18 \, {\left(2 \, x^{3} - {\left(x^{3} + 1\right)}^{2} + 1\right)}} + \frac{{\left(x^{3} + 1\right)}^{\frac{2}{3}}}{2 \, x^{2}} - \frac{{\left(x^{3} + 1\right)}^{\frac{5}{3}}}{5 \, x^{5}} + \frac{1}{27} \, \log\left({\left(x^{3} + 1\right)}^{\frac{2}{3}} + {\left(x^{3} + 1\right)}^{\frac{1}{3}} + 1\right) - \frac{2}{27} \, \log\left({\left(x^{3} + 1\right)}^{\frac{1}{3}} - 1\right)"," ",0,"-2/27*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^3 + 1)^(1/3) + 1)) + 1/18*(4*(x^3 + 1)^(5/3) - 7*(x^3 + 1)^(2/3))/(2*x^3 - (x^3 + 1)^2 + 1) + 1/2*(x^3 + 1)^(2/3)/x^2 - 1/5*(x^3 + 1)^(5/3)/x^5 + 1/27*log((x^3 + 1)^(2/3) + (x^3 + 1)^(1/3) + 1) - 2/27*log((x^3 + 1)^(1/3) - 1)","A",0
1504,0,0,0,0.000000," ","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=""maxima"")","\int \frac{a x^{2} + 2 \, b x + 3 \, c}{{\left(a x^{2} + x^{3} + b x + c\right)} {\left(a x^{2} + b x + c\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((a*x^2 + 2*b*x + 3*c)/((a*x^2 + x^3 + b*x + c)*(a*x^2 + b*x + c)^(1/3)), x)","F",0
1505,0,0,0,0.000000," ","integrate((a*x^2-b)/(a*x^4+b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{2} - b}{{\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{4} + b\right)}}\,{d x}"," ",0,"integrate((a*x^2 - b)/((a*x^4 + b*x^2)^(1/4)*(a*x^4 + b)), x)","F",0
1506,0,0,0,0.000000," ","integrate((a*x^2-b)/(a*x^4+b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{2} - b}{{\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{4} + b\right)}}\,{d x}"," ",0,"integrate((a*x^2 - b)/((a*x^4 + b*x^2)^(1/4)*(a*x^4 + b)), x)","F",0
1507,0,0,0,0.000000," ","integrate((a*x^4+b*x^2)^(1/4)/x^4/(a*x^4+b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}}}{{\left(a x^{4} + b\right)} x^{4}}\,{d x}"," ",0,"integrate((a*x^4 + b*x^2)^(1/4)/((a*x^4 + b)*x^4), x)","F",0
1508,0,0,0,0.000000," ","integrate((a*x^4+b*x^2)^(1/4)/x^4/(a*x^4+b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}}}{{\left(a x^{4} + b\right)} x^{4}}\,{d x}"," ",0,"integrate((a*x^4 + b*x^2)^(1/4)/((a*x^4 + b)*x^4), x)","F",0
1509,0,0,0,0.000000," ","integrate((a*x^4+b*x^2)^(1/4)/x^4/(a*x^4+b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}}}{{\left(a x^{4} + b\right)} x^{4}}\,{d x}"," ",0,"integrate((a*x^4 + b*x^2)^(1/4)/((a*x^4 + b)*x^4), x)","F",0
1510,0,0,0,0.000000," ","integrate(x*(5*x^2+3)/(x^2+1)^(1/3)/(x^5+x^3-1),x, algorithm=""maxima"")","\int \frac{{\left(5 \, x^{2} + 3\right)} x}{{\left(x^{5} + x^{3} - 1\right)} {\left(x^{2} + 1\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((5*x^2 + 3)*x/((x^5 + x^3 - 1)*(x^2 + 1)^(1/3)), x)","F",0
1511,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(2 \, x^{5} + x^{3} - 2\right)} {\left(2 \, x^{5} + 3\right)} {\left(x^{5} - 1\right)}^{\frac{2}{3}}}{{\left(x^{5} + x^{3} - 1\right)} x^{6}}\,{d x}"," ",0,"integrate((2*x^5 + x^3 - 2)*(2*x^5 + 3)*(x^5 - 1)^(2/3)/((x^5 + x^3 - 1)*x^6), x)","F",0
1512,1,105,0,0.412066," ","integrate((x^3+1)^(2/3)*(x^6+x^3-2)/x^9,x, algorithm=""maxima"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x} + 1\right)}\right) - \frac{{\left(x^{3} + 1\right)}^{\frac{2}{3}}}{2 \, x^{2}} - \frac{3 \, {\left(x^{3} + 1\right)}^{\frac{5}{3}}}{5 \, x^{5}} + \frac{{\left(x^{3} + 1\right)}^{\frac{8}{3}}}{4 \, x^{8}} + \frac{1}{6} \, \log\left(\frac{{\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x} + \frac{{\left(x^{3} + 1\right)}^{\frac{2}{3}}}{x^{2}} + 1\right) - \frac{1}{3} \, \log\left(\frac{{\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x} - 1\right)"," ",0,"-1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^3 + 1)^(1/3)/x + 1)) - 1/2*(x^3 + 1)^(2/3)/x^2 - 3/5*(x^3 + 1)^(5/3)/x^5 + 1/4*(x^3 + 1)^(8/3)/x^8 + 1/6*log((x^3 + 1)^(1/3)/x + (x^3 + 1)^(2/3)/x^2 + 1) - 1/3*log((x^3 + 1)^(1/3)/x - 1)","A",0
1513,0,0,0,0.000000," ","integrate((x^6-1)^(2/3)*(x^6+1)*(x^6-x^3-1)/x^6/(x^6+x^3-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} - x^{3} - 1\right)} {\left(x^{6} + 1\right)} {\left(x^{6} - 1\right)}^{\frac{2}{3}}}{{\left(x^{6} + x^{3} - 1\right)} x^{6}}\,{d x}"," ",0,"integrate((x^6 - x^3 - 1)*(x^6 + 1)*(x^6 - 1)^(2/3)/((x^6 + x^3 - 1)*x^6), x)","F",0
1514,1,93,0,0.416613," ","integrate((x^3-1)^(2/3)*(x^6+2*x^3-2)/x^9,x, algorithm=""maxima"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} + 1\right)}\right) - \frac{{\left(x^{3} - 1\right)}^{\frac{2}{3}}}{2 \, x^{2}} + \frac{{\left(x^{3} - 1\right)}^{\frac{8}{3}}}{4 \, x^{8}} + \frac{1}{6} \, \log\left(\frac{{\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} + \frac{{\left(x^{3} - 1\right)}^{\frac{2}{3}}}{x^{2}} + 1\right) - \frac{1}{3} \, \log\left(\frac{{\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} - 1\right)"," ",0,"-1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^3 - 1)^(1/3)/x + 1)) - 1/2*(x^3 - 1)^(2/3)/x^2 + 1/4*(x^3 - 1)^(8/3)/x^8 + 1/6*log((x^3 - 1)^(1/3)/x + (x^3 - 1)^(2/3)/x^2 + 1) - 1/3*log((x^3 - 1)^(1/3)/x - 1)","A",0
1515,0,0,0,0.000000," ","integrate((x^4-2)/(x^4+1)^(1/4)/(x^8+x^4-2),x, algorithm=""maxima"")","\int \frac{x^{4} - 2}{{\left(x^{8} + x^{4} - 2\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((x^4 - 2)/((x^8 + x^4 - 2)*(x^4 + 1)^(1/4)), x)","F",0
1516,0,0,0,0.000000," ","integrate((x^4-1)^(1/4)*(x^4+2)/x^2/(x^8+2*x^4+2),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + 2\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{{\left(x^{8} + 2 \, x^{4} + 2\right)} x^{2}}\,{d x}"," ",0,"integrate((x^4 + 2)*(x^4 - 1)^(1/4)/((x^8 + 2*x^4 + 2)*x^2), x)","F",0
1517,0,0,0,0.000000," ","integrate((x^4-1)^(1/4)*(x^4+2)/x^2/(x^8+2*x^4+2),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + 2\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{{\left(x^{8} + 2 \, x^{4} + 2\right)} x^{2}}\,{d x}"," ",0,"integrate((x^4 + 2)*(x^4 - 1)^(1/4)/((x^8 + 2*x^4 + 2)*x^2), x)","F",0
1518,1,192,0,0.415987," ","integrate((x^8-2*a*x^4-2*b)/x^4/(a*x^4+b)^(1/4),x, algorithm=""maxima"")","\frac{1}{2} \, a {\left(\frac{2 \, \arctan\left(\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}} - \frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}}{a^{\frac{1}{4}} + \frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}}\right)}{a^{\frac{1}{4}}}\right)} + \frac{b {\left(\frac{2 \, \arctan\left(\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}} - \frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}}{a^{\frac{1}{4}} + \frac{{\left(a x^{4} + b\right)}^{\frac{1}{4}}}{x}}\right)}{a^{\frac{1}{4}}}\right)}}{16 \, a} + \frac{2 \, {\left(a x^{4} + b\right)}^{\frac{3}{4}}}{3 \, x^{3}} - \frac{{\left(a x^{4} + b\right)}^{\frac{3}{4}} b}{4 \, {\left(a^{2} - \frac{{\left(a x^{4} + b\right)} a}{x^{4}}\right)} x^{3}}"," ",0,"1/2*a*(2*arctan((a*x^4 + b)^(1/4)/(a^(1/4)*x))/a^(1/4) + log(-(a^(1/4) - (a*x^4 + b)^(1/4)/x)/(a^(1/4) + (a*x^4 + b)^(1/4)/x))/a^(1/4)) + 1/16*b*(2*arctan((a*x^4 + b)^(1/4)/(a^(1/4)*x))/a^(1/4) + log(-(a^(1/4) - (a*x^4 + b)^(1/4)/x)/(a^(1/4) + (a*x^4 + b)^(1/4)/x))/a^(1/4))/a + 2/3*(a*x^4 + b)^(3/4)/x^3 - 1/4*(a*x^4 + b)^(3/4)*b/((a^2 - (a*x^4 + b)*a/x^4)*x^3)","B",0
1519,0,0,0,0.000000," ","integrate((2*x^8-2*x^4+1)/(x^4+1)^(1/4)/(x^8-x^4-2),x, algorithm=""maxima"")","\int \frac{2 \, x^{8} - 2 \, x^{4} + 1}{{\left(x^{8} - x^{4} - 2\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((2*x^8 - 2*x^4 + 1)/((x^8 - x^4 - 2)*(x^4 + 1)^(1/4)), x)","F",0
1520,0,0,0,0.000000," ","integrate((x^8+x^3+1)^(2/3)*(5*x^8-3)/x^3/(x^8+1),x, algorithm=""maxima"")","\int \frac{{\left(5 \, x^{8} - 3\right)} {\left(x^{8} + x^{3} + 1\right)}^{\frac{2}{3}}}{{\left(x^{8} + 1\right)} x^{3}}\,{d x}"," ",0,"integrate((5*x^8 - 3)*(x^8 + x^3 + 1)^(2/3)/((x^8 + 1)*x^3), x)","F",0
1521,0,0,0,0.000000," ","integrate((2*a*x^8-b)/(a*x^4+b)^(1/4)/(a*x^8-b),x, algorithm=""maxima"")","\int \frac{2 \, a x^{8} - b}{{\left(a x^{8} - b\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((2*a*x^8 - b)/((a*x^8 - b)*(a*x^4 + b)^(1/4)), x)","F",0
1522,0,0,0,0.000000," ","integrate((x^6-x^2-1)^(1/2)*(2*x^6+1)/(8*x^12-16*x^6-x^4+8),x, algorithm=""maxima"")","\int \frac{{\left(2 \, x^{6} + 1\right)} \sqrt{x^{6} - x^{2} - 1}}{8 \, x^{12} - 16 \, x^{6} - x^{4} + 8}\,{d x}"," ",0,"integrate((2*x^6 + 1)*sqrt(x^6 - x^2 - 1)/(8*x^12 - 16*x^6 - x^4 + 8), x)","F",0
1523,0,0,0,0.000000," ","integrate(1/(x^2+1)/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{2} + 1\right)} \sqrt{x + \sqrt{x^{2} + 1}}}\,{d x}"," ",0,"integrate(1/((x^2 + 1)*sqrt(x + sqrt(x^2 + 1))), x)","F",0
1524,0,0,0,0.000000," ","integrate((x-(x^2+1)^(1/2))^(1/2)/(x^2+(x^2+1)^(1/2)),x, algorithm=""maxima"")","\int \frac{\sqrt{x - \sqrt{x^{2} + 1}}}{x^{2} + \sqrt{x^{2} + 1}}\,{d x}"," ",0,"integrate(sqrt(x - sqrt(x^2 + 1))/(x^2 + sqrt(x^2 + 1)), x)","F",0
1525,0,0,0,0.000000," ","integrate((a*x^2+(a^2*x^4+b)^(1/2))^(1/2)/x^2,x, algorithm=""maxima"")","\int \frac{\sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}{x^{2}}\,{d x}"," ",0,"integrate(sqrt(a*x^2 + sqrt(a^2*x^4 + b))/x^2, x)","F",0
1526,1,107,0,0.413481," ","integrate((-1+x)/(1+x)/(1+(1+(1+x)^(1/2))^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{8}{7} \, {\left(\sqrt{\sqrt{x + 1} + 1} + 1\right)}^{\frac{7}{2}} - \frac{24}{5} \, {\left(\sqrt{\sqrt{x + 1} + 1} + 1\right)}^{\frac{5}{2}} + \frac{16}{3} \, {\left(\sqrt{\sqrt{x + 1} + 1} + 1\right)}^{\frac{3}{2}} - 2 \, \sqrt{2} \log\left(-\frac{\sqrt{2} - \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}}{\sqrt{2} + \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}}\right) + \frac{8}{\sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}}"," ",0,"8/7*(sqrt(sqrt(x + 1) + 1) + 1)^(7/2) - 24/5*(sqrt(sqrt(x + 1) + 1) + 1)^(5/2) + 16/3*(sqrt(sqrt(x + 1) + 1) + 1)^(3/2) - 2*sqrt(2)*log(-(sqrt(2) - sqrt(sqrt(sqrt(x + 1) + 1) + 1))/(sqrt(2) + sqrt(sqrt(sqrt(x + 1) + 1) + 1))) + 8/sqrt(sqrt(sqrt(x + 1) + 1) + 1)","A",0
1527,0,0,0,0.000000," ","integrate(1/(-2+x)/(x^2+2*x+1)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{2} + 2 \, x + 1\right)}^{\frac{1}{3}} {\left(x - 2\right)}}\,{d x}"," ",0,"integrate(1/((x^2 + 2*x + 1)^(1/3)*(x - 2)), x)","F",0
1528,0,0,0,0.000000," ","integrate((x^3-x)^(1/3)/x^2,x, algorithm=""maxima"")","\int \frac{{\left(x^{3} - x\right)}^{\frac{1}{3}}}{x^{2}}\,{d x}"," ",0,"integrate((x^3 - x)^(1/3)/x^2, x)","F",0
1529,0,0,0,0.000000," ","integrate((x^3-x^2)^(1/3)/x,x, algorithm=""maxima"")","\int \frac{{\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{x}\,{d x}"," ",0,"integrate((x^3 - x^2)^(1/3)/x, x)","F",0
1530,0,0,0,0.000000," ","integrate((a*x^2-3*b)/(a*x^2+x^3-b)/(a*x^3-b*x)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{2} - 3 \, b}{{\left(a x^{3} - b x\right)}^{\frac{1}{4}} {\left(a x^{2} + x^{3} - b\right)}}\,{d x}"," ",0,"integrate((a*x^2 - 3*b)/((a*x^3 - b*x)^(1/4)*(a*x^2 + x^3 - b)), x)","F",0
1531,0,0,0,0.000000," ","integrate(1/(a*x-2*b)/(a*x^3-b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(a x^{3} - b x^{2}\right)}^{\frac{1}{4}} {\left(a x - 2 \, b\right)}}\,{d x}"," ",0,"integrate(1/((a*x^3 - b*x^2)^(1/4)*(a*x - 2*b)), x)","F",0
1532,0,0,0,0.000000," ","integrate((a*x^4-b)*(a*x^4-b*x^2)^(1/4)/x^4/(a*x^4+b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{4} - b\right)}}{{\left(a x^{4} + b\right)} x^{4}}\,{d x}"," ",0,"integrate((a*x^4 - b*x^2)^(1/4)*(a*x^4 - b)/((a*x^4 + b)*x^4), x)","F",0
1533,0,0,0,0.000000," ","integrate((a*x^4-b)*(a*x^4-b*x^2)^(1/4)/x^4/(a*x^4+b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{4} - b\right)}}{{\left(a x^{4} + b\right)} x^{4}}\,{d x}"," ",0,"integrate((a*x^4 - b*x^2)^(1/4)*(a*x^4 - b)/((a*x^4 + b)*x^4), x)","F",0
1534,0,0,0,0.000000," ","integrate((a*x^2-b)/(x^4-a*x^2+b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{2} - b}{{\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} - a x^{2} + b\right)}}\,{d x}"," ",0,"integrate((a*x^2 - b)/((a*x^4 + b*x^2)^(1/4)*(x^4 - a*x^2 + b)), x)","F",0
1535,0,0,0,0.000000," ","integrate((a*x^2-b)/(x^4-a*x^2+b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{2} - b}{{\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} - a x^{2} + b\right)}}\,{d x}"," ",0,"integrate((a*x^2 - b)/((a*x^4 + b*x^2)^(1/4)*(x^4 - a*x^2 + b)), x)","F",0
1536,0,0,0,0.000000," ","integrate((a*x^4+b*x^2)^(1/4)/x^4/(a*x^4-b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}}}{{\left(a x^{4} - b\right)} x^{4}}\,{d x}"," ",0,"integrate((a*x^4 + b*x^2)^(1/4)/((a*x^4 - b)*x^4), x)","F",0
1537,0,0,0,0.000000," ","integrate((a*x^4+b*x^2)^(1/4)/x^4/(a*x^4-b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}}}{{\left(a x^{4} - b\right)} x^{4}}\,{d x}"," ",0,"integrate((a*x^4 + b*x^2)^(1/4)/((a*x^4 - b)*x^4), x)","F",0
1538,0,0,0,0.000000," ","integrate((a^3*x^3+b^3)/(a^3*x^3-b^3)/(a^4*x^4+b^4)^(1/2),x, algorithm=""maxima"")","\int \frac{a^{3} x^{3} + b^{3}}{\sqrt{a^{4} x^{4} + b^{4}} {\left(a^{3} x^{3} - b^{3}\right)}}\,{d x}"," ",0,"integrate((a^3*x^3 + b^3)/(sqrt(a^4*x^4 + b^4)*(a^3*x^3 - b^3)), x)","F",0
1539,0,0,0,0.000000," ","integrate((x^3+1)^(2/3)*(2*x^6+x^3+1)/x^6/(2*x^6-1),x, algorithm=""maxima"")","\int \frac{{\left(2 \, x^{6} + x^{3} + 1\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{{\left(2 \, x^{6} - 1\right)} x^{6}}\,{d x}"," ",0,"integrate((2*x^6 + x^3 + 1)*(x^3 + 1)^(2/3)/((2*x^6 - 1)*x^6), x)","F",0
1540,0,0,0,0.000000," ","integrate((x^3+1)^(2/3)*(2*x^6+x^3+1)/x^6/(2*x^6-1),x, algorithm=""maxima"")","\int \frac{{\left(2 \, x^{6} + x^{3} + 1\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{{\left(2 \, x^{6} - 1\right)} x^{6}}\,{d x}"," ",0,"integrate((2*x^6 + x^3 + 1)*(x^3 + 1)^(2/3)/((2*x^6 - 1)*x^6), x)","F",0
1541,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(2 \, x^{6} + x^{4} - 1\right)}^{\frac{5}{4}} {\left(2 \, x^{6} - 1\right)} {\left(x^{6} + 1\right)}}{{\left(2 \, x^{6} - x^{4} - 1\right)} x^{10}}\,{d x}"," ",0,"integrate((2*x^6 + x^4 - 1)^(5/4)*(2*x^6 - 1)*(x^6 + 1)/((2*x^6 - x^4 - 1)*x^10), x)","F",0
1542,0,0,0,0.000000," ","integrate(1/(a^3*x^3+b^2*x^2)^(1/3)/(a^6*x^6+b),x, algorithm=""maxima"")","\int \frac{1}{{\left(a^{6} x^{6} + b\right)} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((a^6*x^6 + b)*(a^3*x^3 + b^2*x^2)^(1/3)), x)","F",0
1543,0,0,0,0.000000," ","integrate(1/(a^3*x^3+b^2*x^2)^(1/3)/(a^6*x^6+b),x, algorithm=""maxima"")","\int \frac{1}{{\left(a^{6} x^{6} + b\right)} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((a^6*x^6 + b)*(a^3*x^3 + b^2*x^2)^(1/3)), x)","F",0
1544,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(k^{4} x^{4} - 2 \, k^{2} x^{2} + 1\right)} {\left(2 \, k^{2} x^{3} - {\left(3 \, k^{2} - 1\right)} x\right)}}{{\left(d k^{6} x^{6} - 3 \, d k^{4} x^{4} + {\left(3 \, d k^{2} - 1\right)} x^{2} - d + 1\right)} \left({\left(k^{2} x^{2} - 1\right)} {\left(x^{2} - 1\right)}\right)^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((k^4*x^4 - 2*k^2*x^2 + 1)*(2*k^2*x^3 - (3*k^2 - 1)*x)/((d*k^6*x^6 - 3*d*k^4*x^4 + (3*d*k^2 - 1)*x^2 - d + 1)*((k^2*x^2 - 1)*(x^2 - 1))^(3/4)), x)","F",0
1545,0,0,0,0.000000," ","integrate((2*x^4-1)^(1/4)*(x^8+x^4-1)/x^6/(x^4-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{8} + x^{4} - 1\right)} {\left(2 \, x^{4} - 1\right)}^{\frac{1}{4}}}{{\left(x^{4} - 1\right)} x^{6}}\,{d x}"," ",0,"integrate((x^8 + x^4 - 1)*(2*x^4 - 1)^(1/4)/((x^4 - 1)*x^6), x)","F",0
1546,0,0,0,0.000000," ","integrate(1/(a*x^4-b)^(1/4)/(x^8-a*x^4-b),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{8} - a x^{4} - b\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((x^8 - a*x^4 - b)*(a*x^4 - b)^(1/4)), x)","F",0
1547,0,0,0,0.000000," ","integrate(1/(a*x^4-b)^(1/4)/(x^8-a*x^4-b),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{8} - a x^{4} - b\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((x^8 - a*x^4 - b)*(a*x^4 - b)^(1/4)), x)","F",0
1548,1,145,0,0.413476," ","integrate(x^6*(x^3-1)^(2/3),x, algorithm=""maxima"")","\frac{4}{243} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} + 1\right)}\right) - \frac{\frac{2 \, {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{x^{2}} + \frac{11 \, {\left(x^{3} - 1\right)}^{\frac{5}{3}}}{x^{5}} - \frac{4 \, {\left(x^{3} - 1\right)}^{\frac{8}{3}}}{x^{8}}}{81 \, {\left(\frac{3 \, {\left(x^{3} - 1\right)}}{x^{3}} - \frac{3 \, {\left(x^{3} - 1\right)}^{2}}{x^{6}} + \frac{{\left(x^{3} - 1\right)}^{3}}{x^{9}} - 1\right)}} - \frac{2}{243} \, \log\left(\frac{{\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} + \frac{{\left(x^{3} - 1\right)}^{\frac{2}{3}}}{x^{2}} + 1\right) + \frac{4}{243} \, \log\left(\frac{{\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} - 1\right)"," ",0,"4/243*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^3 - 1)^(1/3)/x + 1)) - 1/81*(2*(x^3 - 1)^(2/3)/x^2 + 11*(x^3 - 1)^(5/3)/x^5 - 4*(x^3 - 1)^(8/3)/x^8)/(3*(x^3 - 1)/x^3 - 3*(x^3 - 1)^2/x^6 + (x^3 - 1)^3/x^9 - 1) - 2/243*log((x^3 - 1)^(1/3)/x + (x^3 - 1)^(2/3)/x^2 + 1) + 4/243*log((x^3 - 1)^(1/3)/x - 1)","A",0
1549,1,145,0,0.409486," ","integrate(x^6*(x^3+1)^(2/3),x, algorithm=""maxima"")","-\frac{4}{243} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x} + 1\right)}\right) + \frac{\frac{2 \, {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{x^{2}} + \frac{11 \, {\left(x^{3} + 1\right)}^{\frac{5}{3}}}{x^{5}} - \frac{4 \, {\left(x^{3} + 1\right)}^{\frac{8}{3}}}{x^{8}}}{81 \, {\left(\frac{3 \, {\left(x^{3} + 1\right)}}{x^{3}} - \frac{3 \, {\left(x^{3} + 1\right)}^{2}}{x^{6}} + \frac{{\left(x^{3} + 1\right)}^{3}}{x^{9}} - 1\right)}} + \frac{2}{243} \, \log\left(\frac{{\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x} + \frac{{\left(x^{3} + 1\right)}^{\frac{2}{3}}}{x^{2}} + 1\right) - \frac{4}{243} \, \log\left(\frac{{\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x} - 1\right)"," ",0,"-4/243*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^3 + 1)^(1/3)/x + 1)) + 1/81*(2*(x^3 + 1)^(2/3)/x^2 + 11*(x^3 + 1)^(5/3)/x^5 - 4*(x^3 + 1)^(8/3)/x^8)/(3*(x^3 + 1)/x^3 - 3*(x^3 + 1)^2/x^6 + (x^3 + 1)^3/x^9 - 1) + 2/243*log((x^3 + 1)^(1/3)/x + (x^3 + 1)^(2/3)/x^2 + 1) - 4/243*log((x^3 + 1)^(1/3)/x - 1)","A",0
1550,0,0,0,0.000000," ","integrate(x^4*(x^3+x)^(1/3),x, algorithm=""maxima"")","\int {\left(x^{3} + x\right)}^{\frac{1}{3}} x^{4}\,{d x}"," ",0,"integrate((x^3 + x)^(1/3)*x^4, x)","F",0
1551,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(3 \, a b^{2} - 2 \, {\left(2 \, a + b\right)} b x + {\left(a + 2 \, b\right)} x^{2}\right)} x^{2}}{\left(-{\left(a - x\right)} {\left(b - x\right)}^{2} x\right)^{\frac{3}{4}} {\left({\left(d - 1\right)} x^{3} + a b^{2} - {\left(2 \, a + b\right)} b x + {\left(a + 2 \, b\right)} x^{2}\right)}}\,{d x}"," ",0,"integrate((3*a*b^2 - 2*(2*a + b)*b*x + (a + 2*b)*x^2)*x^2/((-(a - x)*(b - x)^2*x)^(3/4)*((d - 1)*x^3 + a*b^2 - (2*a + b)*b*x + (a + 2*b)*x^2)), x)","F",0
1552,1,182,0,0.429520," ","integrate((x^4+1)^(1/3)*(x^4+3)/x^17,x, algorithm=""maxima"")","\frac{5}{324} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{4} + 1\right)}^{\frac{1}{3}} + 1\right)}\right) - \frac{20 \, {\left(x^{4} + 1\right)}^{\frac{10}{3}} - 72 \, {\left(x^{4} + 1\right)}^{\frac{7}{3}} + 93 \, {\left(x^{4} + 1\right)}^{\frac{4}{3}} + 40 \, {\left(x^{4} + 1\right)}^{\frac{1}{3}}}{432 \, {\left({\left(x^{4} + 1\right)}^{4} - 4 \, x^{4} - 4 \, {\left(x^{4} + 1\right)}^{3} + 6 \, {\left(x^{4} + 1\right)}^{2} - 3\right)}} + \frac{5 \, {\left(x^{4} + 1\right)}^{\frac{7}{3}} - 13 \, {\left(x^{4} + 1\right)}^{\frac{4}{3}} - 10 \, {\left(x^{4} + 1\right)}^{\frac{1}{3}}}{216 \, {\left(3 \, x^{4} + {\left(x^{4} + 1\right)}^{3} - 3 \, {\left(x^{4} + 1\right)}^{2} + 2\right)}} + \frac{5}{648} \, \log\left({\left(x^{4} + 1\right)}^{\frac{2}{3}} + {\left(x^{4} + 1\right)}^{\frac{1}{3}} + 1\right) - \frac{5}{324} \, \log\left({\left(x^{4} + 1\right)}^{\frac{1}{3}} - 1\right)"," ",0,"5/324*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^4 + 1)^(1/3) + 1)) - 1/432*(20*(x^4 + 1)^(10/3) - 72*(x^4 + 1)^(7/3) + 93*(x^4 + 1)^(4/3) + 40*(x^4 + 1)^(1/3))/((x^4 + 1)^4 - 4*x^4 - 4*(x^4 + 1)^3 + 6*(x^4 + 1)^2 - 3) + 1/216*(5*(x^4 + 1)^(7/3) - 13*(x^4 + 1)^(4/3) - 10*(x^4 + 1)^(1/3))/(3*x^4 + (x^4 + 1)^3 - 3*(x^4 + 1)^2 + 2) + 5/648*log((x^4 + 1)^(2/3) + (x^4 + 1)^(1/3) + 1) - 5/324*log((x^4 + 1)^(1/3) - 1)","B",0
1553,0,0,0,0.000000," ","integrate((x^2-2)*(x^3+x)^(1/3)/x^2/(x^4-2*x^2+4),x, algorithm=""maxima"")","-\frac{3 \, {\left({\left(x^{3} + x\right)} x^{2} - 2 \, x^{3} - 2 \, x\right)} {\left(x^{2} + 1\right)}^{\frac{1}{3}}}{8 \, {\left(x^{\frac{17}{3}} - 2 \, x^{\frac{11}{3}} + 4 \, x^{\frac{5}{3}}\right)}} + \int \frac{6 \, {\left({\left(x^{2} + 1\right)} x^{2} - x^{2} - 1\right)} {\left(x^{2} + 1\right)}^{\frac{1}{3}}}{x^{\frac{29}{3}} - 4 \, x^{\frac{23}{3}} + 12 \, x^{\frac{17}{3}} - 16 \, x^{\frac{11}{3}} + 16 \, x^{\frac{5}{3}}}\,{d x}"," ",0,"-3/8*((x^3 + x)*x^2 - 2*x^3 - 2*x)*(x^2 + 1)^(1/3)/(x^(17/3) - 2*x^(11/3) + 4*x^(5/3)) + integrate(6*((x^2 + 1)*x^2 - x^2 - 1)*(x^2 + 1)^(1/3)/(x^(29/3) - 4*x^(23/3) + 12*x^(17/3) - 16*x^(11/3) + 16*x^(5/3)), x)","F",0
1554,0,0,0,0.000000," ","integrate((x^2-2)*(x^3+x)^(1/3)/x^2/(x^4-2*x^2+4),x, algorithm=""maxima"")","-\frac{3 \, {\left({\left(x^{3} + x\right)} x^{2} - 2 \, x^{3} - 2 \, x\right)} {\left(x^{2} + 1\right)}^{\frac{1}{3}}}{8 \, {\left(x^{\frac{17}{3}} - 2 \, x^{\frac{11}{3}} + 4 \, x^{\frac{5}{3}}\right)}} + \int \frac{6 \, {\left({\left(x^{2} + 1\right)} x^{2} - x^{2} - 1\right)} {\left(x^{2} + 1\right)}^{\frac{1}{3}}}{x^{\frac{29}{3}} - 4 \, x^{\frac{23}{3}} + 12 \, x^{\frac{17}{3}} - 16 \, x^{\frac{11}{3}} + 16 \, x^{\frac{5}{3}}}\,{d x}"," ",0,"-3/8*((x^3 + x)*x^2 - 2*x^3 - 2*x)*(x^2 + 1)^(1/3)/(x^(17/3) - 2*x^(11/3) + 4*x^(5/3)) + integrate(6*((x^2 + 1)*x^2 - x^2 - 1)*(x^2 + 1)^(1/3)/(x^(29/3) - 4*x^(23/3) + 12*x^(17/3) - 16*x^(11/3) + 16*x^(5/3)), x)","F",0
1555,0,0,0,0.000000," ","integrate(1/(x^4-1)^2/(x^4-x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{4} - x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} - 1\right)}^{2}}\,{d x}"," ",0,"integrate(1/((x^4 - x^2)^(1/4)*(x^4 - 1)^2), x)","F",0
1556,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{4} - x^{3} + x^{2} - x + 1\right)} {\left(x^{2} - 1\right)}}{\sqrt{x^{4} + 3 \, x^{2} + 1} {\left(x^{2} + x + 1\right)} {\left(x^{2} - x + 1\right)}^{2}}\,{d x}"," ",0,"integrate((x^4 - x^3 + x^2 - x + 1)*(x^2 - 1)/(sqrt(x^4 + 3*x^2 + 1)*(x^2 + x + 1)*(x^2 - x + 1)^2), x)","F",0
1557,0,0,0,0.000000," ","integrate((a*x^3+b)*(2*a*x^3+b)/x^6/(a*x^4+b*x)^(1/4),x, algorithm=""maxima"")","\int \frac{{\left(2 \, a x^{3} + b\right)} {\left(a x^{3} + b\right)}}{{\left(a x^{4} + b x\right)}^{\frac{1}{4}} x^{6}}\,{d x}"," ",0,"integrate((2*a*x^3 + b)*(a*x^3 + b)/((a*x^4 + b*x)^(1/4)*x^6), x)","F",0
1558,0,0,0,0.000000," ","integrate((a^3*x^3-b^3)/(a^3*x^3+b^3)/(a^4*x^4+b^4)^(1/2),x, algorithm=""maxima"")","\int \frac{a^{3} x^{3} - b^{3}}{\sqrt{a^{4} x^{4} + b^{4}} {\left(a^{3} x^{3} + b^{3}\right)}}\,{d x}"," ",0,"integrate((a^3*x^3 - b^3)/(sqrt(a^4*x^4 + b^4)*(a^3*x^3 + b^3)), x)","F",0
1559,0,0,0,0.000000," ","integrate(x^4*(a*x^2-2*b)/(a*x^2-b)^2/(c*x^4+a*x^2-b)^(1/4),x, algorithm=""maxima"")","\int \frac{{\left(a x^{2} - 2 \, b\right)} x^{4}}{{\left(c x^{4} + a x^{2} - b\right)}^{\frac{1}{4}} {\left(a x^{2} - b\right)}^{2}}\,{d x}"," ",0,"integrate((a*x^2 - 2*b)*x^4/((c*x^4 + a*x^2 - b)^(1/4)*(a*x^2 - b)^2), x)","F",0
1560,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{2} + 2 \, x - 1\right)} {\left(x^{2} - 2 \, x - 1\right)}}{{\left(x^{5} - x\right)}^{\frac{1}{3}} {\left(x^{4} + x^{3} + 2 \, x^{2} - x + 1\right)}}\,{d x}"," ",0,"integrate((x^2 + 2*x - 1)*(x^2 - 2*x - 1)/((x^5 - x)^(1/3)*(x^4 + x^3 + 2*x^2 - x + 1)), x)","F",0
1561,0,0,0,0.000000," ","integrate((x^6-a*x^3-b)/x^6/(a*x^4+b*x)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{6} - a x^{3} - b}{{\left(a x^{4} + b x\right)}^{\frac{1}{4}} x^{6}}\,{d x}"," ",0,"integrate((x^6 - a*x^3 - b)/((a*x^4 + b*x)^(1/4)*x^6), x)","F",0
1562,0,0,0,0.000000," ","integrate(1/(a^3*x^3+b^2*x^2)^(1/3)/(a^6*x^6-b),x, algorithm=""maxima"")","\int \frac{1}{{\left(a^{6} x^{6} - b\right)} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((a^6*x^6 - b)*(a^3*x^3 + b^2*x^2)^(1/3)), x)","F",0
1563,0,0,0,0.000000," ","integrate(1/(a^3*x^3+b^2*x^2)^(1/3)/(a^6*x^6-b),x, algorithm=""maxima"")","\int \frac{1}{{\left(a^{6} x^{6} - b\right)} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((a^6*x^6 - b)*(a^3*x^3 + b^2*x^2)^(1/3)), x)","F",0
1564,0,0,0,0.000000," ","integrate(1/(a^3*x^3+b^2*x^2)^(1/3)/(2*a^6*x^6-b),x, algorithm=""maxima"")","\int \frac{1}{{\left(2 \, a^{6} x^{6} - b\right)} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((2*a^6*x^6 - b)*(a^3*x^3 + b^2*x^2)^(1/3)), x)","F",0
1565,0,0,0,0.000000," ","integrate(1/(a^3*x^3+b^2*x^2)^(1/3)/(2*a^6*x^6-b),x, algorithm=""maxima"")","\int \frac{1}{{\left(2 \, a^{6} x^{6} - b\right)} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((2*a^6*x^6 - b)*(a^3*x^3 + b^2*x^2)^(1/3)), x)","F",0
1566,0,0,0,0.000000," ","integrate(1/(a^3*x^3+b^2*x^2)^(1/3)/(2*a^6*x^6+b),x, algorithm=""maxima"")","\int \frac{1}{{\left(2 \, a^{6} x^{6} + b\right)} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((2*a^6*x^6 + b)*(a^3*x^3 + b^2*x^2)^(1/3)), x)","F",0
1567,0,0,0,0.000000," ","integrate(1/(a^3*x^3+b^2*x^2)^(1/3)/(2*a^6*x^6+b),x, algorithm=""maxima"")","\int \frac{1}{{\left(2 \, a^{6} x^{6} + b\right)} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((2*a^6*x^6 + b)*(a^3*x^3 + b^2*x^2)^(1/3)), x)","F",0
1568,0,0,0,0.000000," ","integrate(x^4*(x^3-4)/(x^3-1)^(1/4)/(x^8-x^6+2*x^3-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} - 4\right)} x^{4}}{{\left(x^{8} - x^{6} + 2 \, x^{3} - 1\right)} {\left(x^{3} - 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((x^3 - 4)*x^4/((x^8 - x^6 + 2*x^3 - 1)*(x^3 - 1)^(1/4)), x)","F",0
1569,0,0,0,0.000000," ","integrate(x^6/(a*x^4+b)^(3/4)/(a^2*x^8-b^2),x, algorithm=""maxima"")","\int \frac{x^{6}}{{\left(a^{2} x^{8} - b^{2}\right)} {\left(a x^{4} + b\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(x^6/((a^2*x^8 - b^2)*(a*x^4 + b)^(3/4)), x)","F",0
1570,0,0,0,0.000000," ","integrate((a*x^2-b^2)*(b+(a*x^2+b^2)^(1/2))^(1/2)/(a*x^2+b^2),x, algorithm=""maxima"")","\int \frac{{\left(a x^{2} - b^{2}\right)} \sqrt{b + \sqrt{a x^{2} + b^{2}}}}{a x^{2} + b^{2}}\,{d x}"," ",0,"integrate((a*x^2 - b^2)*sqrt(b + sqrt(a*x^2 + b^2))/(a*x^2 + b^2), x)","F",0
1571,0,0,0,0.000000," ","integrate((x^3+x^2)^(1/3),x, algorithm=""maxima"")","\int {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}\,{d x}"," ",0,"integrate((x^3 + x^2)^(1/3), x)","F",0
1572,0,0,0,0.000000," ","integrate((k^3*x^3-1)/((1-x)*x*(-k^2*x+1))^(1/2)/(k^3*x^3+1),x, algorithm=""maxima"")","\int \frac{k^{3} x^{3} - 1}{{\left(k^{3} x^{3} + 1\right)} \sqrt{{\left(k^{2} x - 1\right)} {\left(x - 1\right)} x}}\,{d x}"," ",0,"integrate((k^3*x^3 - 1)/((k^3*x^3 + 1)*sqrt((k^2*x - 1)*(x - 1)*x)), x)","F",0
1573,0,0,0,0.000000," ","integrate((a*x^2+b)/(x^4+a*x^2+b)/(a*x^4-b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{2} + b}{{\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} + a x^{2} + b\right)}}\,{d x}"," ",0,"integrate((a*x^2 + b)/((a*x^4 - b*x^2)^(1/4)*(x^4 + a*x^2 + b)), x)","F",0
1574,0,0,0,0.000000," ","integrate((a*x^2+b)/(x^4+a*x^2+b)/(a*x^4-b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{2} + b}{{\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} + a x^{2} + b\right)}}\,{d x}"," ",0,"integrate((a*x^2 + b)/((a*x^4 - b*x^2)^(1/4)*(x^4 + a*x^2 + b)), x)","F",0
1575,0,0,0,0.000000," ","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=""maxima"")","\int \frac{c k^{2} x^{4} + b x^{2} + c}{{\left(k^{2} x^{4} - 1\right)} \sqrt{{\left(k^{2} x^{2} - 1\right)} {\left(x^{2} - 1\right)}}}\,{d x}"," ",0,"integrate((c*k^2*x^4 + b*x^2 + c)/((k^2*x^4 - 1)*sqrt((k^2*x^2 - 1)*(x^2 - 1))), x)","F",0
1576,0,0,0,0.000000," ","integrate((a*x^4+3*b)/(a*x^4+x^3-b)/(a*x^5-b*x)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{4} + 3 \, b}{{\left(a x^{5} - b x\right)}^{\frac{1}{4}} {\left(a x^{4} + x^{3} - b\right)}}\,{d x}"," ",0,"integrate((a*x^4 + 3*b)/((a*x^5 - b*x)^(1/4)*(a*x^4 + x^3 - b)), x)","F",0
1577,0,0,0,0.000000," ","integrate((x^6-1)/x^6/(x^3+x)^(1/3),x, algorithm=""maxima"")","\int \frac{x^{6} - 1}{{\left(x^{3} + x\right)}^{\frac{1}{3}} x^{6}}\,{d x}"," ",0,"integrate((x^6 - 1)/((x^3 + x)^(1/3)*x^6), x)","F",0
1578,1,106,0,0.413642," ","integrate((x^3-1)^(2/3)*(x^6+2)/x^6,x, algorithm=""maxima"")","\frac{2}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} + 1\right)}\right) - \frac{{\left(x^{3} - 1\right)}^{\frac{2}{3}}}{3 \, x^{2} {\left(\frac{x^{3} - 1}{x^{3}} - 1\right)}} + \frac{2 \, {\left(x^{3} - 1\right)}^{\frac{5}{3}}}{5 \, x^{5}} - \frac{1}{9} \, \log\left(\frac{{\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} + \frac{{\left(x^{3} - 1\right)}^{\frac{2}{3}}}{x^{2}} + 1\right) + \frac{2}{9} \, \log\left(\frac{{\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} - 1\right)"," ",0,"2/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^3 - 1)^(1/3)/x + 1)) - 1/3*(x^3 - 1)^(2/3)/(x^2*((x^3 - 1)/x^3 - 1)) + 2/5*(x^3 - 1)^(5/3)/x^5 - 1/9*log((x^3 - 1)^(1/3)/x + (x^3 - 1)^(2/3)/x^2 + 1) + 2/9*log((x^3 - 1)^(1/3)/x - 1)","A",0
1579,1,118,0,0.416980," ","integrate((x^3-1)^(2/3)*(x^6+x^3-2)/x^6,x, algorithm=""maxima"")","-\frac{1}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} + 1\right)}\right) - \frac{{\left(x^{3} - 1\right)}^{\frac{2}{3}}}{2 \, x^{2}} - \frac{{\left(x^{3} - 1\right)}^{\frac{2}{3}}}{3 \, x^{2} {\left(\frac{x^{3} - 1}{x^{3}} - 1\right)}} - \frac{2 \, {\left(x^{3} - 1\right)}^{\frac{5}{3}}}{5 \, x^{5}} + \frac{1}{18} \, \log\left(\frac{{\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} + \frac{{\left(x^{3} - 1\right)}^{\frac{2}{3}}}{x^{2}} + 1\right) - \frac{1}{9} \, \log\left(\frac{{\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} - 1\right)"," ",0,"-1/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^3 - 1)^(1/3)/x + 1)) - 1/2*(x^3 - 1)^(2/3)/x^2 - 1/3*(x^3 - 1)^(2/3)/(x^2*((x^3 - 1)/x^3 - 1)) - 2/5*(x^3 - 1)^(5/3)/x^5 + 1/18*log((x^3 - 1)^(1/3)/x + (x^3 - 1)^(2/3)/x^2 + 1) - 1/9*log((x^3 - 1)^(1/3)/x - 1)","A",0
1580,1,106,0,0.412742," ","integrate((x^3+1)^(2/3)*(2*x^6+1)/x^6,x, algorithm=""maxima"")","-\frac{4}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x} + 1\right)}\right) + \frac{2 \, {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{3 \, x^{2} {\left(\frac{x^{3} + 1}{x^{3}} - 1\right)}} - \frac{{\left(x^{3} + 1\right)}^{\frac{5}{3}}}{5 \, x^{5}} + \frac{2}{9} \, \log\left(\frac{{\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x} + \frac{{\left(x^{3} + 1\right)}^{\frac{2}{3}}}{x^{2}} + 1\right) - \frac{4}{9} \, \log\left(\frac{{\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x} - 1\right)"," ",0,"-4/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^3 + 1)^(1/3)/x + 1)) + 2/3*(x^3 + 1)^(2/3)/(x^2*((x^3 + 1)/x^3 - 1)) - 1/5*(x^3 + 1)^(5/3)/x^5 + 2/9*log((x^3 + 1)^(1/3)/x + (x^3 + 1)^(2/3)/x^2 + 1) - 4/9*log((x^3 + 1)^(1/3)/x - 1)","A",0
1581,0,0,0,0.000000," ","integrate((2*a*x^5+3*b)/(a*x^5+x^3-b)/(a*x^6-b*x)^(1/4),x, algorithm=""maxima"")","\int \frac{2 \, a x^{5} + 3 \, b}{{\left(a x^{6} - b x\right)}^{\frac{1}{4}} {\left(a x^{5} + x^{3} - b\right)}}\,{d x}"," ",0,"integrate((2*a*x^5 + 3*b)/((a*x^6 - b*x)^(1/4)*(a*x^5 + x^3 - b)), x)","F",0
1582,0,0,0,0.000000," ","integrate((x^4-1)^(1/4)*(x^8+x^4+1)/x^6/(2*x^8-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{8} + x^{4} + 1\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{{\left(2 \, x^{8} - 1\right)} x^{6}}\,{d x}"," ",0,"integrate((x^8 + x^4 + 1)*(x^4 - 1)^(1/4)/((2*x^8 - 1)*x^6), x)","F",0
1583,0,0,0,0.000000," ","integrate((x^4-1)^(1/4)*(x^8+x^4+1)/x^6/(2*x^8-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{8} + x^{4} + 1\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{{\left(2 \, x^{8} - 1\right)} x^{6}}\,{d x}"," ",0,"integrate((x^8 + x^4 + 1)*(x^4 - 1)^(1/4)/((2*x^8 - 1)*x^6), x)","F",0
1584,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{a^{2} x^{2} - b x}}{{\left(a x^{2} + \sqrt{a^{2} x^{2} - b x} x\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(a^2*x^2 - b*x)/(a*x^2 + sqrt(a^2*x^2 - b*x)*x)^(3/2), x)","F",0
1585,1,145,0,0.419825," ","integrate(x^7*(x^3-1)^(1/3),x, algorithm=""maxima"")","-\frac{5}{243} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} + 1\right)}\right) - \frac{\frac{10 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} + \frac{13 \, {\left(x^{3} - 1\right)}^{\frac{4}{3}}}{x^{4}} - \frac{5 \, {\left(x^{3} - 1\right)}^{\frac{7}{3}}}{x^{7}}}{162 \, {\left(\frac{3 \, {\left(x^{3} - 1\right)}}{x^{3}} - \frac{3 \, {\left(x^{3} - 1\right)}^{2}}{x^{6}} + \frac{{\left(x^{3} - 1\right)}^{3}}{x^{9}} - 1\right)}} - \frac{5}{486} \, \log\left(\frac{{\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} + \frac{{\left(x^{3} - 1\right)}^{\frac{2}{3}}}{x^{2}} + 1\right) + \frac{5}{243} \, \log\left(\frac{{\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} - 1\right)"," ",0,"-5/243*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^3 - 1)^(1/3)/x + 1)) - 1/162*(10*(x^3 - 1)^(1/3)/x + 13*(x^3 - 1)^(4/3)/x^4 - 5*(x^3 - 1)^(7/3)/x^7)/(3*(x^3 - 1)/x^3 - 3*(x^3 - 1)^2/x^6 + (x^3 - 1)^3/x^9 - 1) - 5/486*log((x^3 - 1)^(1/3)/x + (x^3 - 1)^(2/3)/x^2 + 1) + 5/243*log((x^3 - 1)^(1/3)/x - 1)","A",0
1586,1,145,0,0.430402," ","integrate(x^7*(x^3+1)^(1/3),x, algorithm=""maxima"")","\frac{5}{243} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x} + 1\right)}\right) + \frac{\frac{10 \, {\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x} + \frac{13 \, {\left(x^{3} + 1\right)}^{\frac{4}{3}}}{x^{4}} - \frac{5 \, {\left(x^{3} + 1\right)}^{\frac{7}{3}}}{x^{7}}}{162 \, {\left(\frac{3 \, {\left(x^{3} + 1\right)}}{x^{3}} - \frac{3 \, {\left(x^{3} + 1\right)}^{2}}{x^{6}} + \frac{{\left(x^{3} + 1\right)}^{3}}{x^{9}} - 1\right)}} + \frac{5}{486} \, \log\left(\frac{{\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x} + \frac{{\left(x^{3} + 1\right)}^{\frac{2}{3}}}{x^{2}} + 1\right) - \frac{5}{243} \, \log\left(\frac{{\left(x^{3} + 1\right)}^{\frac{1}{3}}}{x} - 1\right)"," ",0,"5/243*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^3 + 1)^(1/3)/x + 1)) + 1/162*(10*(x^3 + 1)^(1/3)/x + 13*(x^3 + 1)^(4/3)/x^4 - 5*(x^3 + 1)^(7/3)/x^7)/(3*(x^3 + 1)/x^3 - 3*(x^3 + 1)^2/x^6 + (x^3 + 1)^3/x^9 - 1) + 5/486*log((x^3 + 1)^(1/3)/x + (x^3 + 1)^(2/3)/x^2 + 1) - 5/243*log((x^3 + 1)^(1/3)/x - 1)","A",0
1587,1,184,0,0.420834," ","integrate((x^3-1)^(1/3)*(x^3+1)/x^13,x, algorithm=""maxima"")","\frac{25}{729} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}} - 1\right)}\right) + \frac{20 \, {\left(x^{3} - 1\right)}^{\frac{10}{3}} + 72 \, {\left(x^{3} - 1\right)}^{\frac{7}{3}} + 93 \, {\left(x^{3} - 1\right)}^{\frac{4}{3}} - 40 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{972 \, {\left({\left(x^{3} - 1\right)}^{4} + 4 \, {\left(x^{3} - 1\right)}^{3} + 4 \, x^{3} + 6 \, {\left(x^{3} - 1\right)}^{2} - 3\right)}} + \frac{5 \, {\left(x^{3} - 1\right)}^{\frac{7}{3}} + 13 \, {\left(x^{3} - 1\right)}^{\frac{4}{3}} - 10 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{162 \, {\left({\left(x^{3} - 1\right)}^{3} + 3 \, x^{3} + 3 \, {\left(x^{3} - 1\right)}^{2} - 2\right)}} - \frac{25}{1458} \, \log\left({\left(x^{3} - 1\right)}^{\frac{2}{3}} - {\left(x^{3} - 1\right)}^{\frac{1}{3}} + 1\right) + \frac{25}{729} \, \log\left({\left(x^{3} - 1\right)}^{\frac{1}{3}} + 1\right)"," ",0,"25/729*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^3 - 1)^(1/3) - 1)) + 1/972*(20*(x^3 - 1)^(10/3) + 72*(x^3 - 1)^(7/3) + 93*(x^3 - 1)^(4/3) - 40*(x^3 - 1)^(1/3))/((x^3 - 1)^4 + 4*(x^3 - 1)^3 + 4*x^3 + 6*(x^3 - 1)^2 - 3) + 1/162*(5*(x^3 - 1)^(7/3) + 13*(x^3 - 1)^(4/3) - 10*(x^3 - 1)^(1/3))/((x^3 - 1)^3 + 3*x^3 + 3*(x^3 - 1)^2 - 2) - 25/1458*log((x^3 - 1)^(2/3) - (x^3 - 1)^(1/3) + 1) + 25/729*log((x^3 - 1)^(1/3) + 1)","B",0
1588,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(a - 3 \, b + 2 \, x\right)} {\left(b - x\right)}}{{\left(a^{3} d + 3 \, a d x^{2} - d x^{3} - {\left(3 \, a^{2} d - 1\right)} x - b\right)} \left({\left(a - x\right)} {\left(b - x\right)}\right)^{\frac{3}{4}} {\left(a - x\right)}}\,{d x}"," ",0,"-integrate((a - 3*b + 2*x)*(b - x)/((a^3*d + 3*a*d*x^2 - d*x^3 - (3*a^2*d - 1)*x - b)*((a - x)*(b - x))^(3/4)*(a - x)), x)","F",0
1589,1,207,0,0.410337," ","integrate(x^8*(a*x^4-b)^(3/4),x, algorithm=""maxima"")","\frac{5 \, b^{3} {\left(\frac{2 \, \arctan\left(\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}} - \frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}}{a^{\frac{1}{4}} + \frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}}\right)}{a^{\frac{1}{4}}}\right)}}{512 \, a^{2}} + \frac{\frac{5 \, {\left(a x^{4} - b\right)}^{\frac{3}{4}} a^{2} b^{3}}{x^{3}} + \frac{42 \, {\left(a x^{4} - b\right)}^{\frac{7}{4}} a b^{3}}{x^{7}} - \frac{15 \, {\left(a x^{4} - b\right)}^{\frac{11}{4}} b^{3}}{x^{11}}}{384 \, {\left(a^{5} - \frac{3 \, {\left(a x^{4} - b\right)} a^{4}}{x^{4}} + \frac{3 \, {\left(a x^{4} - b\right)}^{2} a^{3}}{x^{8}} - \frac{{\left(a x^{4} - b\right)}^{3} a^{2}}{x^{12}}\right)}}"," ",0,"5/512*b^3*(2*arctan((a*x^4 - b)^(1/4)/(a^(1/4)*x))/a^(1/4) + log(-(a^(1/4) - (a*x^4 - b)^(1/4)/x)/(a^(1/4) + (a*x^4 - b)^(1/4)/x))/a^(1/4))/a^2 + 1/384*(5*(a*x^4 - b)^(3/4)*a^2*b^3/x^3 + 42*(a*x^4 - b)^(7/4)*a*b^3/x^7 - 15*(a*x^4 - b)^(11/4)*b^3/x^11)/(a^5 - 3*(a*x^4 - b)*a^4/x^4 + 3*(a*x^4 - b)^2*a^3/x^8 - (a*x^4 - b)^3*a^2/x^12)","B",0
1590,0,0,0,0.000000," ","integrate(1/(a*x^3+b)/(a*x^4-b*x)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(a x^{4} - b x\right)}^{\frac{1}{4}} {\left(a x^{3} + b\right)}}\,{d x}"," ",0,"integrate(1/((a*x^4 - b*x)^(1/4)*(a*x^3 + b)), x)","F",0
1591,0,0,0,0.000000," ","integrate((a*x^4-b*x^2)^(1/4)/x^4/(a*x^4-b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}}}{{\left(a x^{4} - b\right)} x^{4}}\,{d x}"," ",0,"integrate((a*x^4 - b*x^2)^(1/4)/((a*x^4 - b)*x^4), x)","F",0
1592,0,0,0,0.000000," ","integrate((a*x^4-b*x^2)^(1/4)/x^4/(a*x^4-b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}}}{{\left(a x^{4} - b\right)} x^{4}}\,{d x}"," ",0,"integrate((a*x^4 - b*x^2)^(1/4)/((a*x^4 - b)*x^4), x)","F",0
1593,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left({\left(a + k\right)} x^{2} - {\left(k + 1\right)} x + 1\right)} {\left({\left(k + 1\right)} x - 2\right)}}{{\left({\left(c k + k^{2} - b\right)} x^{4} - {\left(c k + 2 \, k^{2} + c + 2 \, k\right)} x^{3} + {\left(k^{2} + c + 4 \, k + 1\right)} x^{2} - 2 \, {\left(k + 1\right)} x + 1\right)} \left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(((a + k)*x^2 - (k + 1)*x + 1)*((k + 1)*x - 2)/(((c*k + k^2 - b)*x^4 - (c*k + 2*k^2 + c + 2*k)*x^3 + (k^2 + c + 4*k + 1)*x^2 - 2*(k + 1)*x + 1)*((k*x - 1)*(x - 1)*x)^(1/3)), x)","F",0
1594,1,106,0,0.423724," ","integrate((x^6-1)^(1/3)*(x^6+1)/x^3,x, algorithm=""maxima"")","\frac{1}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}} + 1\right)}\right) - \frac{{\left(x^{6} - 1\right)}^{\frac{1}{3}}}{2 \, x^{2}} - \frac{{\left(x^{6} - 1\right)}^{\frac{1}{3}}}{6 \, x^{2} {\left(\frac{x^{6} - 1}{x^{6}} - 1\right)}} + \frac{1}{18} \, \log\left(\frac{{\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}} + \frac{{\left(x^{6} - 1\right)}^{\frac{2}{3}}}{x^{4}} + 1\right) - \frac{1}{9} \, \log\left(\frac{{\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}} - 1\right)"," ",0,"1/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^6 - 1)^(1/3)/x^2 + 1)) - 1/2*(x^6 - 1)^(1/3)/x^2 - 1/6*(x^6 - 1)^(1/3)/(x^2*((x^6 - 1)/x^6 - 1)) + 1/18*log((x^6 - 1)^(1/3)/x^2 + (x^6 - 1)^(2/3)/x^4 + 1) - 1/9*log((x^6 - 1)^(1/3)/x^2 - 1)","A",0
1595,0,0,0,0.000000," ","integrate((x^3+1)^(2/3)*(x^6-2*x^3+1)/x^6/(x^6-2),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} - 2 \, x^{3} + 1\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{{\left(x^{6} - 2\right)} x^{6}}\,{d x}"," ",0,"integrate((x^6 - 2*x^3 + 1)*(x^3 + 1)^(2/3)/((x^6 - 2)*x^6), x)","F",0
1596,0,0,0,0.000000," ","integrate((x^3+1)^(2/3)*(x^6-2*x^3+1)/x^6/(x^6-2),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} - 2 \, x^{3} + 1\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{{\left(x^{6} - 2\right)} x^{6}}\,{d x}"," ",0,"integrate((x^6 - 2*x^3 + 1)*(x^3 + 1)^(2/3)/((x^6 - 2)*x^6), x)","F",0
1597,1,93,0,0.424695," ","integrate((x^6-1)^(1/3)*(2*x^6-1)/x^9,x, algorithm=""maxima"")","\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}} + 1\right)}\right) - \frac{{\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}} - \frac{{\left(x^{6} - 1\right)}^{\frac{4}{3}}}{8 \, x^{8}} + \frac{1}{6} \, \log\left(\frac{{\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}} + \frac{{\left(x^{6} - 1\right)}^{\frac{2}{3}}}{x^{4}} + 1\right) - \frac{1}{3} \, \log\left(\frac{{\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}} - 1\right)"," ",0,"1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^6 - 1)^(1/3)/x^2 + 1)) - (x^6 - 1)^(1/3)/x^2 - 1/8*(x^6 - 1)^(4/3)/x^8 + 1/6*log((x^6 - 1)^(1/3)/x^2 + (x^6 - 1)^(2/3)/x^4 + 1) - 1/3*log((x^6 - 1)^(1/3)/x^2 - 1)","A",0
1598,0,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(x^6-1)/x^6/(2*x^6+x^3-2),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} - 1\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{{\left(2 \, x^{6} + x^{3} - 2\right)} x^{6}}\,{d x}"," ",0,"integrate((x^6 - 1)*(x^3 - 1)^(2/3)/((2*x^6 + x^3 - 2)*x^6), x)","F",0
1599,0,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(x^6-1)/x^6/(2*x^6+x^3-2),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} - 1\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{{\left(2 \, x^{6} + x^{3} - 2\right)} x^{6}}\,{d x}"," ",0,"integrate((x^6 - 1)*(x^3 - 1)^(2/3)/((2*x^6 + x^3 - 2)*x^6), x)","F",0
1600,0,0,0,0.000000," ","integrate((x^4-1)^(1/4)*(2*x^8-x^4+2)/x^10/(2*x^4-1),x, algorithm=""maxima"")","\int \frac{{\left(2 \, x^{8} - x^{4} + 2\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}}{{\left(2 \, x^{4} - 1\right)} x^{10}}\,{d x}"," ",0,"integrate((2*x^8 - x^4 + 2)*(x^4 - 1)^(1/4)/((2*x^4 - 1)*x^10), x)","F",0
1601,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{12} + x^{8} - 2 \, x^{6} + 1\right)} {\left(x^{6} + 2\right)}}{{\left(x^{6} + x^{4} - 1\right)} {\left(x^{6} - 1\right)}^{\frac{1}{4}} x^{8}}\,{d x}"," ",0,"integrate((x^12 + x^8 - 2*x^6 + 1)*(x^6 + 2)/((x^6 + x^4 - 1)*(x^6 - 1)^(1/4)*x^8), x)","F",0
1602,0,0,0,0.000000," ","integrate((x^2+x)^(1/2)/x/(x^2+x*(x^2+x)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{2} + x}}{\sqrt{x^{2} + \sqrt{x^{2} + x} x} x}\,{d x}"," ",0,"integrate(sqrt(x^2 + x)/(sqrt(x^2 + sqrt(x^2 + x)*x)*x), x)","F",0
1603,0,0,0,0.000000," ","integrate((x^2+x*(x^2+x)^(1/2))^(1/2)/(x^2+x)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{2} + \sqrt{x^{2} + x} x}}{\sqrt{x^{2} + x}}\,{d x}"," ",0,"integrate(sqrt(x^2 + sqrt(x^2 + x)*x)/sqrt(x^2 + x), x)","F",0
1604,0,0,0,0.000000," ","integrate(1/(b+(a*x^2+b^2)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b + \sqrt{a x^{2} + b^{2}}}}\,{d x}"," ",0,"integrate(1/sqrt(b + sqrt(a*x^2 + b^2)), x)","F",0
1605,0,0,0,0.000000," ","integrate((a*x^2+b^2)^2*(b+(a*x^2+b^2)^(1/2))^(1/2),x, algorithm=""maxima"")","\int {\left(a x^{2} + b^{2}\right)}^{2} \sqrt{b + \sqrt{a x^{2} + b^{2}}}\,{d x}"," ",0,"integrate((a*x^2 + b^2)^2*sqrt(b + sqrt(a*x^2 + b^2)), x)","F",0
1606,0,0,0,0.000000," ","integrate(1/(1-3*x)/(x^3-x)^(1/3),x, algorithm=""maxima"")","-\int \frac{1}{{\left(x^{3} - x\right)}^{\frac{1}{3}} {\left(3 \, x - 1\right)}}\,{d x}"," ",0,"-integrate(1/((x^3 - x)^(1/3)*(3*x - 1)), x)","F",0
1607,0,0,0,0.000000," ","integrate(1/(1+3*x)/(x^3-x)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{3} - x\right)}^{\frac{1}{3}} {\left(3 \, x + 1\right)}}\,{d x}"," ",0,"integrate(1/((x^3 - x)^(1/3)*(3*x + 1)), x)","F",0
1608,0,0,0,0.000000," ","integrate(x/(x^3-x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{x}{{\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(x/(x^3 - x^2)^(1/3), x)","F",0
1609,0,0,0,0.000000," ","integrate((-x^3+1)^(2/3)*(x^3-1)/x^6/(2*x^3-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} - 1\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}}}{{\left(2 \, x^{3} - 1\right)} x^{6}}\,{d x}"," ",0,"integrate((x^3 - 1)*(-x^3 + 1)^(2/3)/((2*x^3 - 1)*x^6), x)","F",0
1610,0,0,0,0.000000," ","integrate((a*x+2*b)/(a*x+x^2+b)/(a*x^3+b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{a x + 2 \, b}{{\left(a x^{3} + b x^{2}\right)}^{\frac{1}{4}} {\left(a x + x^{2} + b\right)}}\,{d x}"," ",0,"integrate((a*x + 2*b)/((a*x^3 + b*x^2)^(1/4)*(a*x + x^2 + b)), x)","F",0
1611,0,0,0,0.000000," ","integrate(x^3*(x^4+x)^(1/2)/(a*x^3-b),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{4} + x} x^{3}}{a x^{3} - b}\,{d x}"," ",0,"integrate(sqrt(x^4 + x)*x^3/(a*x^3 - b), x)","F",0
1612,1,121,0,0.423061," ","integrate(x^9*(x^6+1)^(1/3),x, algorithm=""maxima"")","-\frac{1}{54} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{6} + 1\right)}^{\frac{1}{3}}}{x^{2}} + 1\right)}\right) - \frac{\frac{2 \, {\left(x^{6} + 1\right)}^{\frac{1}{3}}}{x^{2}} + \frac{{\left(x^{6} + 1\right)}^{\frac{4}{3}}}{x^{8}}}{36 \, {\left(\frac{2 \, {\left(x^{6} + 1\right)}}{x^{6}} - \frac{{\left(x^{6} + 1\right)}^{2}}{x^{12}} - 1\right)}} - \frac{1}{108} \, \log\left(\frac{{\left(x^{6} + 1\right)}^{\frac{1}{3}}}{x^{2}} + \frac{{\left(x^{6} + 1\right)}^{\frac{2}{3}}}{x^{4}} + 1\right) + \frac{1}{54} \, \log\left(\frac{{\left(x^{6} + 1\right)}^{\frac{1}{3}}}{x^{2}} - 1\right)"," ",0,"-1/54*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^6 + 1)^(1/3)/x^2 + 1)) - 1/36*(2*(x^6 + 1)^(1/3)/x^2 + (x^6 + 1)^(4/3)/x^8)/(2*(x^6 + 1)/x^6 - (x^6 + 1)^2/x^12 - 1) - 1/108*log((x^6 + 1)^(1/3)/x^2 + (x^6 + 1)^(2/3)/x^4 + 1) + 1/54*log((x^6 + 1)^(1/3)/x^2 - 1)","A",0
1613,0,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(x^3+2)/x^6/(x^6+4),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} + 2\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{{\left(x^{6} + 4\right)} x^{6}}\,{d x}"," ",0,"integrate((x^3 + 2)*(x^3 - 1)^(2/3)/((x^6 + 4)*x^6), x)","F",0
1614,0,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(x^3+2)/x^6/(x^6+4),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} + 2\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{{\left(x^{6} + 4\right)} x^{6}}\,{d x}"," ",0,"integrate((x^3 + 2)*(x^3 - 1)^(2/3)/((x^6 + 4)*x^6), x)","F",0
1615,0,0,0,0.000000," ","integrate((x^6-a*x^3+b)/x^6/(a*x^4+b*x)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{6} - a x^{3} + b}{{\left(a x^{4} + b x\right)}^{\frac{1}{4}} x^{6}}\,{d x}"," ",0,"integrate((x^6 - a*x^3 + b)/((a*x^4 + b*x)^(1/4)*x^6), x)","F",0
1616,0,0,0,0.000000," ","integrate((a*x^6-b)/x^6/(a*x^4+b*x)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{6} - b}{{\left(a x^{4} + b x\right)}^{\frac{1}{4}} x^{6}}\,{d x}"," ",0,"integrate((a*x^6 - b)/((a*x^4 + b*x)^(1/4)*x^6), x)","F",0
1617,0,0,0,0.000000," ","integrate((a*x^6+b)/x^6/(a*x^4+b*x)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{6} + b}{{\left(a x^{4} + b x\right)}^{\frac{1}{4}} x^{6}}\,{d x}"," ",0,"integrate((a*x^6 + b)/((a*x^4 + b*x)^(1/4)*x^6), x)","F",0
1618,0,0,0,0.000000," ","integrate((2*a*x^5-3*b)/(2*a*x^5+x^3+2*b)/(a*x^6+b*x)^(1/4),x, algorithm=""maxima"")","\int \frac{2 \, a x^{5} - 3 \, b}{{\left(a x^{6} + b x\right)}^{\frac{1}{4}} {\left(2 \, a x^{5} + x^{3} + 2 \, b\right)}}\,{d x}"," ",0,"integrate((2*a*x^5 - 3*b)/((a*x^6 + b*x)^(1/4)*(2*a*x^5 + x^3 + 2*b)), x)","F",0
1619,0,0,0,0.000000," ","integrate(1/(a^3*x^3+b^2*x^2)^(1/3)/(a^6*x^6+2*b),x, algorithm=""maxima"")","\int \frac{1}{{\left(a^{6} x^{6} + 2 \, b\right)} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((a^6*x^6 + 2*b)*(a^3*x^3 + b^2*x^2)^(1/3)), x)","F",0
1620,0,0,0,0.000000," ","integrate(1/(a^3*x^3+b^2*x^2)^(1/3)/(a^6*x^6+2*b),x, algorithm=""maxima"")","\int \frac{1}{{\left(a^{6} x^{6} + 2 \, b\right)} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((a^6*x^6 + 2*b)*(a^3*x^3 + b^2*x^2)^(1/3)), x)","F",0
1621,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{8} + x^{6} + 3 \, x^{4} + x^{2} + 1\right)} {\left(x^{4} - 1\right)}}{{\left(x^{8} + 3 \, x^{6} + 5 \, x^{4} + 3 \, x^{2} + 1\right)} {\left(x^{4} + x^{2} + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((x^8 + x^6 + 3*x^4 + x^2 + 1)*(x^4 - 1)/((x^8 + 3*x^6 + 5*x^4 + 3*x^2 + 1)*(x^4 + x^2 + 1)^(3/2)), x)","F",0
1622,0,0,0,0.000000," ","integrate((a*x^8-b)/(a*x^4+b)^(1/4)/(a*x^8+b),x, algorithm=""maxima"")","\int \frac{a x^{8} - b}{{\left(a x^{8} + b\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((a*x^8 - b)/((a*x^8 + b)*(a*x^4 + b)^(1/4)), x)","F",0
1623,0,0,0,0.000000," ","integrate((a*x^8-b)/(a*x^4+b)^(1/4)/(a*x^8+b),x, algorithm=""maxima"")","\int \frac{a x^{8} - b}{{\left(a x^{8} + b\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((a*x^8 - b)/((a*x^8 + b)*(a*x^4 + b)^(1/4)), x)","F",0
1624,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{x^{6} - x^{2} + x} {\left(2 \, x^{5} + 2 \, x - 3\right)}}{x^{10} - x^{8} - 3 \, x^{6} + 2 \, x^{5} + x^{4} - x^{3} + x^{2} - 2 \, x + 1}\,{d x}"," ",0,"integrate(sqrt(x^6 - x^2 + x)*(2*x^5 + 2*x - 3)/(x^10 - x^8 - 3*x^6 + 2*x^5 + x^4 - x^3 + x^2 - 2*x + 1), x)","F",0
1625,0,0,0,0.000000," ","integrate((x+(1+x)^(1/2))^(1/2)/x^2/(1+x)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{x + \sqrt{x + 1}}}{\sqrt{x + 1} x^{2}}\,{d x}"," ",0,"integrate(sqrt(x + sqrt(x + 1))/(sqrt(x + 1)*x^2), x)","F",0
1626,0,0,0,0.000000," ","integrate((x+(1+x)^(1/2))^(1/2)/x/(1+x)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{x + \sqrt{x + 1}}}{\sqrt{x + 1} x}\,{d x}"," ",0,"integrate(sqrt(x + sqrt(x + 1))/(sqrt(x + 1)*x), x)","F",0
1627,0,0,0,0.000000," ","integrate((a*x+(a*x-b)^(1/2))^(1/2)/(a*x-b)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{a x + \sqrt{a x - b}}}{\sqrt{a x - b}}\,{d x}"," ",0,"integrate(sqrt(a*x + sqrt(a*x - b))/sqrt(a*x - b), x)","F",0
1628,1,125,0,0.309865," ","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=""maxima"")","\frac{{\left(a^{2} + 1\right)} b^{2} \log\left(\sqrt{b x + a} a b^{2} + b x\right) - 2 \, \sqrt{b x + a} a - \frac{{\left({\left(a^{3} + a\right)} b^{4} - 2 \, b\right)} \log\left(\frac{a b^{2} - \sqrt{{\left(a b^{4} + 4\right)} a} + 2 \, \sqrt{b x + a}}{a b^{2} + \sqrt{{\left(a b^{4} + 4\right)} a} + 2 \, \sqrt{b x + a}}\right)}{\sqrt{{\left(a b^{4} + 4\right)} a}}}{b}"," ",0,"((a^2 + 1)*b^2*log(sqrt(b*x + a)*a*b^2 + b*x) - 2*sqrt(b*x + a)*a - ((a^3 + a)*b^4 - 2*b)*log((a*b^2 - sqrt((a*b^4 + 4)*a) + 2*sqrt(b*x + a))/(a*b^2 + sqrt((a*b^4 + 4)*a) + 2*sqrt(b*x + a)))/sqrt((a*b^4 + 4)*a))/b","A",0
1629,0,0,0,0.000000," ","integrate((b+(a*x^2+b^2)^(1/2))^(1/2)/x^2,x, algorithm=""maxima"")","\int \frac{\sqrt{b + \sqrt{a x^{2} + b^{2}}}}{x^{2}}\,{d x}"," ",0,"integrate(sqrt(b + sqrt(a*x^2 + b^2))/x^2, x)","F",0
1630,0,0,0,0.000000," ","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=""maxima"")","\int \frac{1}{\sqrt{a^{2} x^{2} - b x} {\left(a x^{2} + \sqrt{a^{2} x^{2} - b x} x\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(a^2*x^2 - b*x)*(a*x^2 + sqrt(a^2*x^2 - b*x)*x)^(3/2)), x)","F",0
1631,0,0,0,0.000000," ","integrate(1/(1+(x+(x^2+1)^(1/2))^(1/2)),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\,{d x}"," ",0,"integrate(1/(sqrt(x + sqrt(x^2 + 1)) + 1), x)","F",0
1632,0,0,0,0.000000," ","integrate((-2+x)/(x^2+2)/(2*x^2+x-1)^(1/3),x, algorithm=""maxima"")","\int \frac{x - 2}{{\left(2 \, x^{2} + x - 1\right)}^{\frac{1}{3}} {\left(x^{2} + 2\right)}}\,{d x}"," ",0,"integrate((x - 2)/((2*x^2 + x - 1)^(1/3)*(x^2 + 2)), x)","F",0
1633,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(2 \, a b - {\left(a + b\right)} x\right)} {\left(a - x\right)} {\left(b - x\right)}}{\left({\left(a - x\right)} {\left(b - x\right)} x^{2}\right)^{\frac{3}{4}} {\left({\left(d - 1\right)} x^{2} - a b + {\left(a + b\right)} x\right)}}\,{d x}"," ",0,"-integrate((2*a*b - (a + b)*x)*(a - x)*(b - x)/(((a - x)*(b - x)*x^2)^(3/4)*((d - 1)*x^2 - a*b + (a + b)*x)), x)","F",0
1634,0,0,0,0.000000," ","integrate((x^2-x+1)/(x^2+2*x-2)/(x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} - x + 1}{\sqrt{x^{3} + 1} {\left(x^{2} + 2 \, x - 2\right)}}\,{d x}"," ",0,"integrate((x^2 - x + 1)/(sqrt(x^3 + 1)*(x^2 + 2*x - 2)), x)","F",0
1635,0,0,0,0.000000," ","integrate((-1+x)/x/(x^3-x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{x - 1}{{\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x}\,{d x}"," ",0,"integrate((x - 1)/((x^3 - x^2)^(1/3)*x), x)","F",0
1636,0,0,0,0.000000," ","integrate((1+x)/x/(x^3-x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{x + 1}{{\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x}\,{d x}"," ",0,"integrate((x + 1)/((x^3 - x^2)^(1/3)*x), x)","F",0
1637,0,0,0,0.000000," ","integrate(x^2/(x^3+x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(x^{3} + x^{2}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(x^2/(x^3 + x^2)^(1/3), x)","F",0
1638,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(a^{3} - 3 \, a^{2} x + 3 \, a x^{2} - x^{3}\right)} {\left(a - 3 \, b + 2 \, x\right)}}{{\left(a^{3} + 3 \, a x^{2} - x^{3} - b d - {\left(3 \, a^{2} - d\right)} x\right)} \left({\left(a - x\right)} {\left(b - x\right)}\right)^{\frac{1}{4}} {\left(b - x\right)}}\,{d x}"," ",0,"-integrate((a^3 - 3*a^2*x + 3*a*x^2 - x^3)*(a - 3*b + 2*x)/((a^3 + 3*a*x^2 - x^3 - b*d - (3*a^2 - d)*x)*((a - x)*(b - x))^(1/4)*(b - x)), x)","F",0
1639,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(k x^{2} - 2 \, {\left(k + 1\right)} x + 3\right)} x^{3}}{{\left(d k x^{2} - d {\left(k + 1\right)} x - x^{3} + d\right)} \left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{1}{4}} {\left(k x - 1\right)} {\left(x - 1\right)}}\,{d x}"," ",0,"-integrate((k*x^2 - 2*(k + 1)*x + 3)*x^3/((d*k*x^2 - d*(k + 1)*x - x^3 + d)*((k*x - 1)*(x - 1)*x)^(1/4)*(k*x - 1)*(x - 1)), x)","F",0
1640,0,0,0,0.000000," ","integrate((x^3+2)*(2*x^3+1)^(2/3)/x^6/(x^3+1),x, algorithm=""maxima"")","\int \frac{{\left(2 \, x^{3} + 1\right)}^{\frac{2}{3}} {\left(x^{3} + 2\right)}}{{\left(x^{3} + 1\right)} x^{6}}\,{d x}"," ",0,"integrate((2*x^3 + 1)^(2/3)*(x^3 + 2)/((x^3 + 1)*x^6), x)","F",0
1641,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{3 \, a b^{2} - 2 \, {\left(2 \, a + b\right)} b x + {\left(a + 2 \, b\right)} x^{2}}{{\left(a b^{2} d - {\left(2 \, a + b\right)} b d x + {\left(a + 2 \, b\right)} d x^{2} - {\left(d - 1\right)} x^{3}\right)} \left(-{\left(a - x\right)} {\left(b - x\right)}^{2} x\right)^{\frac{1}{4}}}\,{d x}"," ",0,"-integrate((3*a*b^2 - 2*(2*a + b)*b*x + (a + 2*b)*x^2)/((a*b^2*d - (2*a + b)*b*d*x + (a + 2*b)*d*x^2 - (d - 1)*x^3)*(-(a - x)*(b - x)^2*x)^(1/4)), x)","F",0
1642,0,0,0,0.000000," ","integrate((c*x+d)*(a*x^4-b*x^3)^(1/4)/x^2,x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} {\left(c x + d\right)}}{x^{2}}\,{d x}"," ",0,"integrate((a*x^4 - b*x^3)^(1/4)*(c*x + d)/x^2, x)","F",0
1643,0,0,0,0.000000," ","integrate((x^5+3)*(x^5+x^3-2)^(1/3)/x^2/(x^5-2),x, algorithm=""maxima"")","\int \frac{{\left(x^{5} + x^{3} - 2\right)}^{\frac{1}{3}} {\left(x^{5} + 3\right)}}{{\left(x^{5} - 2\right)} x^{2}}\,{d x}"," ",0,"integrate((x^5 + x^3 - 2)^(1/3)*(x^5 + 3)/((x^5 - 2)*x^2), x)","F",0
1644,0,0,0,0.000000," ","integrate((x^5-3)*(x^5+x^3+2)^(2/3)/x^3/(x^5+2),x, algorithm=""maxima"")","\int \frac{{\left(x^{5} + x^{3} + 2\right)}^{\frac{2}{3}} {\left(x^{5} - 3\right)}}{{\left(x^{5} + 2\right)} x^{3}}\,{d x}"," ",0,"integrate((x^5 + x^3 + 2)^(2/3)*(x^5 - 3)/((x^5 + 2)*x^3), x)","F",0
1645,1,93,0,0.448713," ","integrate((x^6-1)^(1/3)*(x^6+1)/x^9,x, algorithm=""maxima"")","\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}} + 1\right)}\right) - \frac{{\left(x^{6} - 1\right)}^{\frac{1}{3}}}{2 \, x^{2}} + \frac{{\left(x^{6} - 1\right)}^{\frac{4}{3}}}{8 \, x^{8}} + \frac{1}{12} \, \log\left(\frac{{\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}} + \frac{{\left(x^{6} - 1\right)}^{\frac{2}{3}}}{x^{4}} + 1\right) - \frac{1}{6} \, \log\left(\frac{{\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}} - 1\right)"," ",0,"1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^6 - 1)^(1/3)/x^2 + 1)) - 1/2*(x^6 - 1)^(1/3)/x^2 + 1/8*(x^6 - 1)^(4/3)/x^8 + 1/12*log((x^6 - 1)^(1/3)/x^2 + (x^6 - 1)^(2/3)/x^4 + 1) - 1/6*log((x^6 - 1)^(1/3)/x^2 - 1)","A",0
1646,0,0,0,0.000000," ","integrate(1/(a^3*x^3+b^2*x^2)^(1/3)/(a^6*x^6-2*b),x, algorithm=""maxima"")","\int \frac{1}{{\left(a^{6} x^{6} - 2 \, b\right)} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((a^6*x^6 - 2*b)*(a^3*x^3 + b^2*x^2)^(1/3)), x)","F",0
1647,0,0,0,0.000000," ","integrate(1/(a^3*x^3+b^2*x^2)^(1/3)/(a^6*x^6-2*b),x, algorithm=""maxima"")","\int \frac{1}{{\left(a^{6} x^{6} - 2 \, b\right)} {\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((a^6*x^6 - 2*b)*(a^3*x^3 + b^2*x^2)^(1/3)), x)","F",0
1648,0,0,0,0.000000," ","integrate(1/(x^20+3*x^16+2*x^12-2*x^8-3*x^4-1)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{20} + 3 \, x^{16} + 2 \, x^{12} - 2 \, x^{8} - 3 \, x^{4} - 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((x^20 + 3*x^16 + 2*x^12 - 2*x^8 - 3*x^4 - 1)^(-1/4), x)","F",0
1649,1,162,0,0.309778," ","integrate((x^2+1)/(a*x+b)^(1/2)/(c+(a*x+b)^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{4 \, {\left(315 \, \sqrt{c + \sqrt{a x + b}} + \frac{35 \, {\left(c + \sqrt{a x + b}\right)}^{\frac{9}{2}} - 180 \, {\left(c + \sqrt{a x + b}\right)}^{\frac{7}{2}} c + 378 \, {\left(c + \sqrt{a x + b}\right)}^{\frac{5}{2}} c^{2} - 420 \, {\left(c + \sqrt{a x + b}\right)}^{\frac{3}{2}} c^{3} + 315 \, \sqrt{c + \sqrt{a x + b}} c^{4} + 315 \, b^{2} \sqrt{c + \sqrt{a x + b}} - 42 \, {\left(3 \, {\left(c + \sqrt{a x + b}\right)}^{\frac{5}{2}} - 10 \, {\left(c + \sqrt{a x + b}\right)}^{\frac{3}{2}} c + 15 \, \sqrt{c + \sqrt{a x + b}} c^{2}\right)} b}{a^{2}}\right)}}{315 \, a}"," ",0,"4/315*(315*sqrt(c + sqrt(a*x + b)) + (35*(c + sqrt(a*x + b))^(9/2) - 180*(c + sqrt(a*x + b))^(7/2)*c + 378*(c + sqrt(a*x + b))^(5/2)*c^2 - 420*(c + sqrt(a*x + b))^(3/2)*c^3 + 315*sqrt(c + sqrt(a*x + b))*c^4 + 315*b^2*sqrt(c + sqrt(a*x + b)) - 42*(3*(c + sqrt(a*x + b))^(5/2) - 10*(c + sqrt(a*x + b))^(3/2)*c + 15*sqrt(c + sqrt(a*x + b))*c^2)*b)/a^2)/a","A",0
1650,0,0,0,0.000000," ","integrate(x^2/(a^2*x^2-b)^(1/2)/(a*x+(a^2*x^2-b)^(1/2))^(1/4),x, algorithm=""maxima"")","\int \frac{x^{2}}{\sqrt{a^{2} x^{2} - b} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(x^2/(sqrt(a^2*x^2 - b)*(a*x + sqrt(a^2*x^2 - b))^(1/4)), x)","F",0
1651,0,0,0,0.000000," ","integrate(x^2*(x^3-x)^(1/3),x, algorithm=""maxima"")","\int {\left(x^{3} - x\right)}^{\frac{1}{3}} x^{2}\,{d x}"," ",0,"integrate((x^3 - x)^(1/3)*x^2, x)","F",0
1652,0,0,0,0.000000," ","integrate(x^6*(x^3+x)^(1/3),x, algorithm=""maxima"")","\int {\left(x^{3} + x\right)}^{\frac{1}{3}} x^{6}\,{d x}"," ",0,"integrate((x^3 + x)^(1/3)*x^6, x)","F",0
1653,1,148,0,0.418633," ","integrate((-3+2*x)/x/(x^4-1)^(1/4),x, algorithm=""maxima"")","-\frac{3}{4} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}}\right)}\right) - \frac{3}{4} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}}\right)}\right) + \frac{3}{8} \, \sqrt{2} \log\left(\sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} + \sqrt{x^{4} - 1} + 1\right) - \frac{3}{8} \, \sqrt{2} \log\left(-\sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} + \sqrt{x^{4} - 1} + 1\right) - \arctan\left(\frac{{\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x}\right) + \frac{1}{2} \, \log\left(\frac{{\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x} + 1\right) - \frac{1}{2} \, \log\left(\frac{{\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x} - 1\right)"," ",0,"-3/4*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*(x^4 - 1)^(1/4))) - 3/4*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*(x^4 - 1)^(1/4))) + 3/8*sqrt(2)*log(sqrt(2)*(x^4 - 1)^(1/4) + sqrt(x^4 - 1) + 1) - 3/8*sqrt(2)*log(-sqrt(2)*(x^4 - 1)^(1/4) + sqrt(x^4 - 1) + 1) - arctan((x^4 - 1)^(1/4)/x) + 1/2*log((x^4 - 1)^(1/4)/x + 1) - 1/2*log((x^4 - 1)^(1/4)/x - 1)","A",0
1654,0,0,0,0.000000," ","integrate((-x^4+x^3-1)^(1/3)*(x^4-3)/x^2/(x^4+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - 3\right)} {\left(-x^{4} + x^{3} - 1\right)}^{\frac{1}{3}}}{{\left(x^{4} + 1\right)} x^{2}}\,{d x}"," ",0,"integrate((x^4 - 3)*(-x^4 + x^3 - 1)^(1/3)/((x^4 + 1)*x^2), x)","F",0
1655,0,0,0,0.000000," ","integrate(x^3*(x^4-x)^(1/2)/(a*x^3-b),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{4} - x} x^{3}}{a x^{3} - b}\,{d x}"," ",0,"integrate(sqrt(x^4 - x)*x^3/(a*x^3 - b), x)","F",0
1656,0,0,0,0.000000," ","integrate((2*x^4+1)/(x^4-1)/(x^4+x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{2 \, x^{4} + 1}{{\left(x^{4} + x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} - 1\right)}}\,{d x}"," ",0,"integrate((2*x^4 + 1)/((x^4 + x^2)^(1/4)*(x^4 - 1)), x)","F",0
1657,0,0,0,0.000000," ","integrate((a*x^2+b)/x^2/(a*x^2-b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{2} + b}{{\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{2} - b\right)} x^{2}}\,{d x}"," ",0,"integrate((a*x^2 + b)/((a*x^4 + b*x^2)^(1/4)*(a*x^2 - b)*x^2), x)","F",0
1658,0,0,0,0.000000," ","integrate(x*(a*x^4+b*x^3)^(1/4),x, algorithm=""maxima"")","\int {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} x\,{d x}"," ",0,"integrate((a*x^4 + b*x^3)^(1/4)*x, x)","F",0
1659,0,0,0,0.000000," ","integrate((a*x^3-2*b)/(a*x^3+x^2+b)/(a*x^5+b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{3} - 2 \, b}{{\left(a x^{5} + b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{3} + x^{2} + b\right)}}\,{d x}"," ",0,"integrate((a*x^3 - 2*b)/((a*x^5 + b*x^2)^(1/4)*(a*x^3 + x^2 + b)), x)","F",0
1660,0,0,0,0.000000," ","integrate((a*x^2-b)/(a*x^2+b+x)/(a*x^5+b*x^3)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{2} - b}{{\left(a x^{5} + b x^{3}\right)}^{\frac{1}{4}} {\left(a x^{2} + b + x\right)}}\,{d x}"," ",0,"integrate((a*x^2 - b)/((a*x^5 + b*x^3)^(1/4)*(a*x^2 + b + x)), x)","F",0
1661,1,122,0,0.411592," ","integrate(x^13/(x^6-1)^(1/3),x, algorithm=""maxima"")","-\frac{1}{27} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}} + 1\right)}\right) - \frac{\frac{7 \, {\left(x^{6} - 1\right)}^{\frac{2}{3}}}{x^{4}} - \frac{4 \, {\left(x^{6} - 1\right)}^{\frac{5}{3}}}{x^{10}}}{36 \, {\left(\frac{2 \, {\left(x^{6} - 1\right)}}{x^{6}} - \frac{{\left(x^{6} - 1\right)}^{2}}{x^{12}} - 1\right)}} + \frac{1}{54} \, \log\left(\frac{{\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}} + \frac{{\left(x^{6} - 1\right)}^{\frac{2}{3}}}{x^{4}} + 1\right) - \frac{1}{27} \, \log\left(\frac{{\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}} - 1\right)"," ",0,"-1/27*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^6 - 1)^(1/3)/x^2 + 1)) - 1/36*(7*(x^6 - 1)^(2/3)/x^4 - 4*(x^6 - 1)^(5/3)/x^10)/(2*(x^6 - 1)/x^6 - (x^6 - 1)^2/x^12 - 1) + 1/54*log((x^6 - 1)^(1/3)/x^2 + (x^6 - 1)^(2/3)/x^4 + 1) - 1/27*log((x^6 - 1)^(1/3)/x^2 - 1)","A",0
1662,1,121,0,0.417698," ","integrate(x^9*(x^6-1)^(1/3),x, algorithm=""maxima"")","-\frac{1}{54} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}} + 1\right)}\right) - \frac{\frac{2 \, {\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}} + \frac{{\left(x^{6} - 1\right)}^{\frac{4}{3}}}{x^{8}}}{36 \, {\left(\frac{2 \, {\left(x^{6} - 1\right)}}{x^{6}} - \frac{{\left(x^{6} - 1\right)}^{2}}{x^{12}} - 1\right)}} - \frac{1}{108} \, \log\left(\frac{{\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}} + \frac{{\left(x^{6} - 1\right)}^{\frac{2}{3}}}{x^{4}} + 1\right) + \frac{1}{54} \, \log\left(\frac{{\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}} - 1\right)"," ",0,"-1/54*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^6 - 1)^(1/3)/x^2 + 1)) - 1/36*(2*(x^6 - 1)^(1/3)/x^2 + (x^6 - 1)^(4/3)/x^8)/(2*(x^6 - 1)/x^6 - (x^6 - 1)^2/x^12 - 1) - 1/108*log((x^6 - 1)^(1/3)/x^2 + (x^6 - 1)^(2/3)/x^4 + 1) + 1/54*log((x^6 - 1)^(1/3)/x^2 - 1)","A",0
1663,1,121,0,0.416631," ","integrate(x^7*(x^6-1)^(2/3),x, algorithm=""maxima"")","\frac{1}{54} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}} + 1\right)}\right) - \frac{\frac{{\left(x^{6} - 1\right)}^{\frac{2}{3}}}{x^{4}} + \frac{2 \, {\left(x^{6} - 1\right)}^{\frac{5}{3}}}{x^{10}}}{36 \, {\left(\frac{2 \, {\left(x^{6} - 1\right)}}{x^{6}} - \frac{{\left(x^{6} - 1\right)}^{2}}{x^{12}} - 1\right)}} - \frac{1}{108} \, \log\left(\frac{{\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}} + \frac{{\left(x^{6} - 1\right)}^{\frac{2}{3}}}{x^{4}} + 1\right) + \frac{1}{54} \, \log\left(\frac{{\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}} - 1\right)"," ",0,"1/54*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^6 - 1)^(1/3)/x^2 + 1)) - 1/36*((x^6 - 1)^(2/3)/x^4 + 2*(x^6 - 1)^(5/3)/x^10)/(2*(x^6 - 1)/x^6 - (x^6 - 1)^2/x^12 - 1) - 1/108*log((x^6 - 1)^(1/3)/x^2 + (x^6 - 1)^(2/3)/x^4 + 1) + 1/54*log((x^6 - 1)^(1/3)/x^2 - 1)","A",0
1664,1,122,0,0.424721," ","integrate(x^13/(x^6+1)^(1/3),x, algorithm=""maxima"")","-\frac{1}{27} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{6} + 1\right)}^{\frac{1}{3}}}{x^{2}} + 1\right)}\right) - \frac{\frac{7 \, {\left(x^{6} + 1\right)}^{\frac{2}{3}}}{x^{4}} - \frac{4 \, {\left(x^{6} + 1\right)}^{\frac{5}{3}}}{x^{10}}}{36 \, {\left(\frac{2 \, {\left(x^{6} + 1\right)}}{x^{6}} - \frac{{\left(x^{6} + 1\right)}^{2}}{x^{12}} - 1\right)}} + \frac{1}{54} \, \log\left(\frac{{\left(x^{6} + 1\right)}^{\frac{1}{3}}}{x^{2}} + \frac{{\left(x^{6} + 1\right)}^{\frac{2}{3}}}{x^{4}} + 1\right) - \frac{1}{27} \, \log\left(\frac{{\left(x^{6} + 1\right)}^{\frac{1}{3}}}{x^{2}} - 1\right)"," ",0,"-1/27*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^6 + 1)^(1/3)/x^2 + 1)) - 1/36*(7*(x^6 + 1)^(2/3)/x^4 - 4*(x^6 + 1)^(5/3)/x^10)/(2*(x^6 + 1)/x^6 - (x^6 + 1)^2/x^12 - 1) + 1/54*log((x^6 + 1)^(1/3)/x^2 + (x^6 + 1)^(2/3)/x^4 + 1) - 1/27*log((x^6 + 1)^(1/3)/x^2 - 1)","A",0
1665,1,121,0,0.409341," ","integrate(x^7*(x^6+1)^(2/3),x, algorithm=""maxima"")","\frac{1}{54} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{6} + 1\right)}^{\frac{1}{3}}}{x^{2}} + 1\right)}\right) - \frac{\frac{{\left(x^{6} + 1\right)}^{\frac{2}{3}}}{x^{4}} + \frac{2 \, {\left(x^{6} + 1\right)}^{\frac{5}{3}}}{x^{10}}}{36 \, {\left(\frac{2 \, {\left(x^{6} + 1\right)}}{x^{6}} - \frac{{\left(x^{6} + 1\right)}^{2}}{x^{12}} - 1\right)}} - \frac{1}{108} \, \log\left(\frac{{\left(x^{6} + 1\right)}^{\frac{1}{3}}}{x^{2}} + \frac{{\left(x^{6} + 1\right)}^{\frac{2}{3}}}{x^{4}} + 1\right) + \frac{1}{54} \, \log\left(\frac{{\left(x^{6} + 1\right)}^{\frac{1}{3}}}{x^{2}} - 1\right)"," ",0,"1/54*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^6 + 1)^(1/3)/x^2 + 1)) - 1/36*((x^6 + 1)^(2/3)/x^4 + 2*(x^6 + 1)^(5/3)/x^10)/(2*(x^6 + 1)/x^6 - (x^6 + 1)^2/x^12 - 1) - 1/108*log((x^6 + 1)^(1/3)/x^2 + (x^6 + 1)^(2/3)/x^4 + 1) + 1/54*log((x^6 + 1)^(1/3)/x^2 - 1)","A",0
1666,0,0,0,0.000000," ","integrate((x^3+1)^(2/3)*(x^3+4)/x^6/(x^6-4*x^3+8),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} + 4\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{{\left(x^{6} - 4 \, x^{3} + 8\right)} x^{6}}\,{d x}"," ",0,"integrate((x^3 + 4)*(x^3 + 1)^(2/3)/((x^6 - 4*x^3 + 8)*x^6), x)","F",0
1667,0,0,0,0.000000," ","integrate((x^3+1)^(2/3)*(x^3+4)/x^6/(x^6-4*x^3+8),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} + 4\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{{\left(x^{6} - 4 \, x^{3} + 8\right)} x^{6}}\,{d x}"," ",0,"integrate((x^3 + 4)*(x^3 + 1)^(2/3)/((x^6 - 4*x^3 + 8)*x^6), x)","F",0
1668,0,0,0,0.000000," ","integrate((x^3+1)^(2/3)*(x^3+2)*(3*x^3+4)/x^6/(x^6+2*x^3+4),x, algorithm=""maxima"")","\int \frac{{\left(3 \, x^{3} + 4\right)} {\left(x^{3} + 2\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{{\left(x^{6} + 2 \, x^{3} + 4\right)} x^{6}}\,{d x}"," ",0,"integrate((3*x^3 + 4)*(x^3 + 2)*(x^3 + 1)^(2/3)/((x^6 + 2*x^3 + 4)*x^6), x)","F",0
1669,0,0,0,0.000000," ","integrate((x^3+1)^(2/3)*(x^3+2)*(3*x^3+4)/x^6/(x^6+2*x^3+4),x, algorithm=""maxima"")","\int \frac{{\left(3 \, x^{3} + 4\right)} {\left(x^{3} + 2\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{{\left(x^{6} + 2 \, x^{3} + 4\right)} x^{6}}\,{d x}"," ",0,"integrate((3*x^3 + 4)*(x^3 + 2)*(x^3 + 1)^(2/3)/((x^6 + 2*x^3 + 4)*x^6), x)","F",0
1670,0,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(x^6+4)/x^6/(x^6+2*x^3+4),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} + 4\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{{\left(x^{6} + 2 \, x^{3} + 4\right)} x^{6}}\,{d x}"," ",0,"integrate((x^6 + 4)*(x^3 - 1)^(2/3)/((x^6 + 2*x^3 + 4)*x^6), x)","F",0
1671,0,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(x^6+4)/x^6/(x^6+2*x^3+4),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} + 4\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{{\left(x^{6} + 2 \, x^{3} + 4\right)} x^{6}}\,{d x}"," ",0,"integrate((x^6 + 4)*(x^3 - 1)^(2/3)/((x^6 + 2*x^3 + 4)*x^6), x)","F",0
1672,0,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(x^6-x^3+1)/x^6/(2*x^6-x^3-2),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} - x^{3} + 1\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{{\left(2 \, x^{6} - x^{3} - 2\right)} x^{6}}\,{d x}"," ",0,"integrate((x^6 - x^3 + 1)*(x^3 - 1)^(2/3)/((2*x^6 - x^3 - 2)*x^6), x)","F",0
1673,0,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(x^6-x^3+1)/x^6/(2*x^6-x^3-2),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} - x^{3} + 1\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{{\left(2 \, x^{6} - x^{3} - 2\right)} x^{6}}\,{d x}"," ",0,"integrate((x^6 - x^3 + 1)*(x^3 - 1)^(2/3)/((2*x^6 - x^3 - 2)*x^6), x)","F",0
1674,0,0,0,0.000000," ","integrate((x^3+1)^(2/3)*(3*x^6+6*x^3+4)/x^6/(3*x^6+6*x^3+8),x, algorithm=""maxima"")","\int \frac{{\left(3 \, x^{6} + 6 \, x^{3} + 4\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{{\left(3 \, x^{6} + 6 \, x^{3} + 8\right)} x^{6}}\,{d x}"," ",0,"integrate((3*x^6 + 6*x^3 + 4)*(x^3 + 1)^(2/3)/((3*x^6 + 6*x^3 + 8)*x^6), x)","F",0
1675,0,0,0,0.000000," ","integrate((x^3+1)^(2/3)*(3*x^6+6*x^3+4)/x^6/(3*x^6+6*x^3+8),x, algorithm=""maxima"")","\int \frac{{\left(3 \, x^{6} + 6 \, x^{3} + 4\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{{\left(3 \, x^{6} + 6 \, x^{3} + 8\right)} x^{6}}\,{d x}"," ",0,"integrate((3*x^6 + 6*x^3 + 4)*(x^3 + 1)^(2/3)/((3*x^6 + 6*x^3 + 8)*x^6), x)","F",0
1676,0,0,0,0.000000," ","integrate((x^8+2*x^3-1)^(1/3)*(5*x^8+3)/x^2/(x^8+x^3-1),x, algorithm=""maxima"")","\int \frac{{\left(5 \, x^{8} + 3\right)} {\left(x^{8} + 2 \, x^{3} - 1\right)}^{\frac{1}{3}}}{{\left(x^{8} + x^{3} - 1\right)} x^{2}}\,{d x}"," ",0,"integrate((5*x^8 + 3)*(x^8 + 2*x^3 - 1)^(1/3)/((x^8 + x^3 - 1)*x^2), x)","F",0
1677,0,0,0,0.000000," ","integrate((x^4-1)*(1+(x^2+1)^(1/2))^(1/2)/(x^4+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - 1\right)} \sqrt{\sqrt{x^{2} + 1} + 1}}{x^{4} + 1}\,{d x}"," ",0,"integrate((x^4 - 1)*sqrt(sqrt(x^2 + 1) + 1)/(x^4 + 1), x)","F",0
1678,0,0,0,0.000000," ","integrate((x^4-1)*(1+(x^2+1)^(1/2))^(1/2)/(x^4+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - 1\right)} \sqrt{\sqrt{x^{2} + 1} + 1}}{x^{4} + 1}\,{d x}"," ",0,"integrate((x^4 - 1)*sqrt(sqrt(x^2 + 1) + 1)/(x^4 + 1), x)","F",0
1679,0,0,0,0.000000," ","integrate((a^2*x^2+b^2)^(1/2)/(a*x+(a^2*x^2+b^2)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{a^{2} x^{2} + b^{2}}}{\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}}\,{d x}"," ",0,"integrate(sqrt(a^2*x^2 + b^2)/sqrt(a*x + sqrt(a^2*x^2 + b^2)), x)","F",0
1680,0,0,0,0.000000," ","integrate((-2*a+b+x)/((-a+x)*(-b+x)^2)^(1/4)/(b^2+a*d-(2*b+d)*x+x^2),x, algorithm=""maxima"")","-\int \frac{2 \, a - b - x}{\left(-{\left(a - x\right)} {\left(b - x\right)}^{2}\right)^{\frac{1}{4}} {\left(b^{2} + a d - {\left(2 \, b + d\right)} x + x^{2}\right)}}\,{d x}"," ",0,"-integrate((2*a - b - x)/((-(a - x)*(b - x)^2)^(1/4)*(b^2 + a*d - (2*b + d)*x + x^2)), x)","F",0
1681,0,0,0,0.000000," ","integrate(x*(x^3+x^2)^(1/3),x, algorithm=""maxima"")","\int {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x\,{d x}"," ",0,"integrate((x^3 + x^2)^(1/3)*x, x)","F",0
1682,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(2 \, a - 3 \, b\right)} b - 2 \, {\left(a - 2 \, b\right)} x - x^{2}}{{\left(a^{3} + b^{2} d + {\left(3 \, a + d\right)} x^{2} - x^{3} - {\left(3 \, a^{2} + 2 \, b d\right)} x\right)} \left(-{\left(a - x\right)} {\left(b - x\right)}^{2}\right)^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(((2*a - 3*b)*b - 2*(a - 2*b)*x - x^2)/((a^3 + b^2*d + (3*a + d)*x^2 - x^3 - (3*a^2 + 2*b*d)*x)*(-(a - x)*(b - x)^2)^(1/4)), x)","F",0
1683,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(k x^{2} + 2 \, {\left(k - 1\right)} x - 1\right)} {\left(x - 1\right)}^{3}}{\left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{1}{4}} {\left({\left(d k + 3\right)} x^{2} - x^{3} - {\left(d + 3\right)} x + 1\right)} {\left(k x - 1\right)} x}\,{d x}"," ",0,"-integrate((k*x^2 + 2*(k - 1)*x - 1)*(x - 1)^3/(((k*x - 1)*(x - 1)*x)^(1/4)*((d*k + 3)*x^2 - x^3 - (d + 3)*x + 1)*(k*x - 1)*x), x)","F",0
1684,0,0,0,0.000000," ","integrate((a*x^2+b)/(a*x^2-b)/(a*x^3+b*x)^(1/2),x, algorithm=""maxima"")","\int \frac{a x^{2} + b}{\sqrt{a x^{3} + b x} {\left(a x^{2} - b\right)}}\,{d x}"," ",0,"integrate((a*x^2 + b)/(sqrt(a*x^3 + b*x)*(a*x^2 - b)), x)","F",0
1685,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a^{2} - 2 \, a x + x^{2}\right)} {\left({\left(2 \, a - 3 \, b\right)} b - 2 \, {\left(a - 2 \, b\right)} x - x^{2}\right)}}{{\left(a^{3} d - d x^{3} + {\left(3 \, a d + 1\right)} x^{2} + b^{2} - {\left(3 \, a^{2} d + 2 \, b\right)} x\right)} \left(-{\left(a - x\right)} {\left(b - x\right)}^{2}\right)^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((a^2 - 2*a*x + x^2)*((2*a - 3*b)*b - 2*(a - 2*b)*x - x^2)/((a^3*d - d*x^3 + (3*a*d + 1)*x^2 + b^2 - (3*a^2*d + 2*b)*x)*(-(a - x)*(b - x)^2)^(3/4)), x)","F",0
1686,0,0,0,0.000000," ","integrate((x^3-1)*(x^4+x^3)^(1/4)/(x^3+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(x^{3} - 1\right)}}{x^{3} + 1}\,{d x}"," ",0,"integrate((x^4 + x^3)^(1/4)*(x^3 - 1)/(x^3 + 1), x)","F",0
1687,0,0,0,0.000000," ","integrate((a*x^2-b)/x^2/(a*x^2+b)/(a*x^4-b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{2} - b}{{\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{2} + b\right)} x^{2}}\,{d x}"," ",0,"integrate((a*x^2 - b)/((a*x^4 - b*x^2)^(1/4)*(a*x^2 + b)*x^2), x)","F",0
1688,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(6 \, a - b - 5 \, x\right)} {\left(b - x\right)}}{{\left(b^{6} + 15 \, b^{4} x^{2} - 20 \, b^{3} x^{3} + 15 \, b^{2} x^{4} - 6 \, b x^{5} + x^{6} + a d - {\left(6 \, b^{5} + d\right)} x\right)} \left(-{\left(a - x\right)} {\left(b - x\right)}^{2}\right)^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((6*a - b - 5*x)*(b - x)/((b^6 + 15*b^4*x^2 - 20*b^3*x^3 + 15*b^2*x^4 - 6*b*x^5 + x^6 + a*d - (6*b^5 + d)*x)*(-(a - x)*(b - x)^2)^(1/4)), x)","F",0
1689,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(b^{5} - 5 \, b^{4} x + 10 \, b^{3} x^{2} - 10 \, b^{2} x^{3} + 5 \, b x^{4} - x^{5}\right)} {\left(6 \, a - b - 5 \, x\right)}}{{\left(b^{6} d + 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} - {\left(6 \, b^{5} d + 1\right)} x + a\right)} \left(-{\left(a - x\right)} {\left(b - x\right)}^{2}\right)^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((b^5 - 5*b^4*x + 10*b^3*x^2 - 10*b^2*x^3 + 5*b*x^4 - x^5)*(6*a - b - 5*x)/((b^6*d + 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 - (6*b^5*d + 1)*x + a)*(-(a - x)*(b - x)^2)^(3/4)), x)","F",0
1690,0,0,0,0.000000," ","integrate(x^4*(x^4+x^2)^(1/4)/(x^8-1),x, algorithm=""maxima"")","-\frac{2 \, {\left(x^{3} + x\right)} {\left(x^{2} + 1\right)}^{\frac{1}{4}} x^{\frac{9}{2}}}{5 \, {\left(x^{8} - 1\right)}} - \int \frac{16 \, {\left(x^{2} + 1\right)}^{\frac{5}{4}} x^{\frac{9}{2}}}{5 \, {\left(x^{16} - 2 \, x^{8} + 1\right)}}\,{d x}"," ",0,"-2/5*(x^3 + x)*(x^2 + 1)^(1/4)*x^(9/2)/(x^8 - 1) - integrate(16/5*(x^2 + 1)^(5/4)*x^(9/2)/(x^16 - 2*x^8 + 1), x)","F",0
1691,0,0,0,0.000000," ","integrate(x^4*(x^4+x^2)^(1/4)/(x^8-1),x, algorithm=""maxima"")","-\frac{2 \, {\left(x^{3} + x\right)} {\left(x^{2} + 1\right)}^{\frac{1}{4}} x^{\frac{9}{2}}}{5 \, {\left(x^{8} - 1\right)}} - \int \frac{16 \, {\left(x^{2} + 1\right)}^{\frac{5}{4}} x^{\frac{9}{2}}}{5 \, {\left(x^{16} - 2 \, x^{8} + 1\right)}}\,{d x}"," ",0,"-2/5*(x^3 + x)*(x^2 + 1)^(1/4)*x^(9/2)/(x^8 - 1) - integrate(16/5*(x^2 + 1)^(5/4)*x^(9/2)/(x^16 - 2*x^8 + 1), x)","F",0
1692,0,0,0,0.000000," ","integrate(x^4/(x^4+x^2)^(1/4)/(x^8+x^4+1),x, algorithm=""maxima"")","\frac{2 \, {\left(4 \, x^{5} + x^{3} - 3 \, x\right)} x^{\frac{7}{2}}}{21 \, {\left(x^{8} + x^{4} + 1\right)} {\left(x^{2} + 1\right)}^{\frac{1}{4}}} - \int \frac{8 \, {\left({\left(4 \, x^{4} + x^{2} - 3\right)} x^{\frac{15}{2}} + 2 \, {\left(4 \, x^{4} + x^{2} - 3\right)} x^{\frac{7}{2}}\right)}}{21 \, {\left(x^{16} + 2 \, x^{12} + 3 \, x^{8} + 2 \, x^{4} + 1\right)} {\left(x^{2} + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"2/21*(4*x^5 + x^3 - 3*x)*x^(7/2)/((x^8 + x^4 + 1)*(x^2 + 1)^(1/4)) - integrate(8/21*((4*x^4 + x^2 - 3)*x^(15/2) + 2*(4*x^4 + x^2 - 3)*x^(7/2))/((x^16 + 2*x^12 + 3*x^8 + 2*x^4 + 1)*(x^2 + 1)^(1/4)), x)","F",0
1693,0,0,0,0.000000," ","integrate(x^4/(x^4+x^2)^(1/4)/(x^8+x^4+1),x, algorithm=""maxima"")","\frac{2 \, {\left(4 \, x^{5} + x^{3} - 3 \, x\right)} x^{\frac{7}{2}}}{21 \, {\left(x^{8} + x^{4} + 1\right)} {\left(x^{2} + 1\right)}^{\frac{1}{4}}} - \int \frac{8 \, {\left({\left(4 \, x^{4} + x^{2} - 3\right)} x^{\frac{15}{2}} + 2 \, {\left(4 \, x^{4} + x^{2} - 3\right)} x^{\frac{7}{2}}\right)}}{21 \, {\left(x^{16} + 2 \, x^{12} + 3 \, x^{8} + 2 \, x^{4} + 1\right)} {\left(x^{2} + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"2/21*(4*x^5 + x^3 - 3*x)*x^(7/2)/((x^8 + x^4 + 1)*(x^2 + 1)^(1/4)) - integrate(8/21*((4*x^4 + x^2 - 3)*x^(15/2) + 2*(4*x^4 + x^2 - 3)*x^(7/2))/((x^16 + 2*x^12 + 3*x^8 + 2*x^4 + 1)*(x^2 + 1)^(1/4)), x)","F",0
1694,0,0,0,0.000000," ","integrate(x^6*(x^3+4)/(x^3+1)^(3/4)/(x^8-x^6-2*x^3-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} + 4\right)} x^{6}}{{\left(x^{8} - x^{6} - 2 \, x^{3} - 1\right)} {\left(x^{3} + 1\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((x^3 + 4)*x^6/((x^8 - x^6 - 2*x^3 - 1)*(x^3 + 1)^(3/4)), x)","F",0
1695,1,170,0,0.428110," ","integrate(x^10*(x^3-1)^(1/3),x, algorithm=""maxima"")","-\frac{10}{729} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} + 1\right)}\right) - \frac{\frac{40 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} + \frac{93 \, {\left(x^{3} - 1\right)}^{\frac{4}{3}}}{x^{4}} - \frac{72 \, {\left(x^{3} - 1\right)}^{\frac{7}{3}}}{x^{7}} + \frac{20 \, {\left(x^{3} - 1\right)}^{\frac{10}{3}}}{x^{10}}}{972 \, {\left(\frac{4 \, {\left(x^{3} - 1\right)}}{x^{3}} - \frac{6 \, {\left(x^{3} - 1\right)}^{2}}{x^{6}} + \frac{4 \, {\left(x^{3} - 1\right)}^{3}}{x^{9}} - \frac{{\left(x^{3} - 1\right)}^{4}}{x^{12}} - 1\right)}} - \frac{5}{729} \, \log\left(\frac{{\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} + \frac{{\left(x^{3} - 1\right)}^{\frac{2}{3}}}{x^{2}} + 1\right) + \frac{10}{729} \, \log\left(\frac{{\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} - 1\right)"," ",0,"-10/729*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^3 - 1)^(1/3)/x + 1)) - 1/972*(40*(x^3 - 1)^(1/3)/x + 93*(x^3 - 1)^(4/3)/x^4 - 72*(x^3 - 1)^(7/3)/x^7 + 20*(x^3 - 1)^(10/3)/x^10)/(4*(x^3 - 1)/x^3 - 6*(x^3 - 1)^2/x^6 + 4*(x^3 - 1)^3/x^9 - (x^3 - 1)^4/x^12 - 1) - 5/729*log((x^3 - 1)^(1/3)/x + (x^3 - 1)^(2/3)/x^2 + 1) + 10/729*log((x^3 - 1)^(1/3)/x - 1)","A",0
1696,0,0,0,0.000000," ","integrate(x/(-1+x)/(x^3-x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{x}{{\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(x - 1\right)}}\,{d x}"," ",0,"integrate(x/((x^3 - x^2)^(1/3)*(x - 1)), x)","F",0
1697,0,0,0,0.000000," ","integrate((1+x)/(-1+x)/(x^3-x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{x + 1}{{\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(x - 1\right)}}\,{d x}"," ",0,"integrate((x + 1)/((x^3 - x^2)^(1/3)*(x - 1)), x)","F",0
1698,0,0,0,0.000000," ","integrate((a*x-2*b)/(a*x+x^2-b)/(a*x^3-b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{a x - 2 \, b}{{\left(a x^{3} - b x^{2}\right)}^{\frac{1}{4}} {\left(a x + x^{2} - b\right)}}\,{d x}"," ",0,"integrate((a*x - 2*b)/((a*x^3 - b*x^2)^(1/4)*(a*x + x^2 - b)), x)","F",0
1699,0,0,0,0.000000," ","integrate((x^2+1)*(2*x^3-x)^(1/3)/x^2/(x^4+1),x, algorithm=""maxima"")","\int \frac{{\left(2 \, x^{3} - x\right)}^{\frac{1}{3}} {\left(x^{2} + 1\right)}}{{\left(x^{4} + 1\right)} x^{2}}\,{d x}"," ",0,"integrate((2*x^3 - x)^(1/3)*(x^2 + 1)/((x^4 + 1)*x^2), x)","F",0
1700,0,0,0,0.000000," ","integrate((-1+x)/(x^2+x+1)/(x^4+1)^(1/4),x, algorithm=""maxima"")","\int \frac{x - 1}{{\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(x^{2} + x + 1\right)}}\,{d x}"," ",0,"integrate((x - 1)/((x^4 + 1)^(1/4)*(x^2 + x + 1)), x)","F",0
1701,0,0,0,0.000000," ","integrate(x^2*(x^4+x^3)^(1/4)/(-1+x),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x^{2}}{x - 1}\,{d x}"," ",0,"integrate((x^4 + x^3)^(1/4)*x^2/(x - 1), x)","F",0
1702,0,0,0,0.000000," ","integrate((a*x^3-b)*(2*a*x^3-b)/x^6/(a*x^4-b*x)^(1/4),x, algorithm=""maxima"")","\int \frac{{\left(2 \, a x^{3} - b\right)} {\left(a x^{3} - b\right)}}{{\left(a x^{4} - b x\right)}^{\frac{1}{4}} x^{6}}\,{d x}"," ",0,"integrate((2*a*x^3 - b)*(a*x^3 - b)/((a*x^4 - b*x)^(1/4)*x^6), x)","F",0
1703,0,0,0,0.000000," ","integrate((x^8+a*x^4-b)/x^8/(a*x^4-b)/(a*x^4+b)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{8} + a x^{4} - b}{{\left(a x^{4} + b\right)}^{\frac{1}{4}} {\left(a x^{4} - b\right)} x^{8}}\,{d x}"," ",0,"integrate((x^8 + a*x^4 - b)/((a*x^4 + b)^(1/4)*(a*x^4 - b)*x^8), x)","F",0
1704,0,0,0,0.000000," ","integrate((x^4+1)/x^4/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{x^{4} + 1}{\sqrt{x + \sqrt{x^{2} + 1}} x^{4}}\,{d x}"," ",0,"integrate((x^4 + 1)/(sqrt(x + sqrt(x^2 + 1))*x^4), x)","F",0
1705,0,0,0,0.000000," ","integrate((b+(a*x^2+b^2)^(1/2))^(1/2)/x^2/(a*x^2+b^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{b + \sqrt{a x^{2} + b^{2}}}}{\sqrt{a x^{2} + b^{2}} x^{2}}\,{d x}"," ",0,"integrate(sqrt(b + sqrt(a*x^2 + b^2))/(sqrt(a*x^2 + b^2)*x^2), x)","F",0
1706,0,0,0,0.000000," ","integrate((x^2+2)/x/(x^2-2*x+2)/(x^2-x+1)^(1/3),x, algorithm=""maxima"")","\int \frac{x^{2} + 2}{{\left(x^{2} - x + 1\right)}^{\frac{1}{3}} {\left(x^{2} - 2 \, x + 2\right)} x}\,{d x}"," ",0,"integrate((x^2 + 2)/((x^2 - x + 1)^(1/3)*(x^2 - 2*x + 2)*x), x)","F",0
1707,1,145,0,0.428961," ","integrate((-1+x)/x^10/(x^3+1)^(1/3),x, algorithm=""maxima"")","\frac{14}{243} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{3} + 1\right)}^{\frac{1}{3}} + 1\right)}\right) + \frac{28 \, {\left(x^{3} + 1\right)}^{\frac{8}{3}} - 77 \, {\left(x^{3} + 1\right)}^{\frac{5}{3}} + 67 \, {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{162 \, {\left({\left(x^{3} + 1\right)}^{3} + 3 \, x^{3} - 3 \, {\left(x^{3} + 1\right)}^{2} + 2\right)}} - \frac{{\left(x^{3} + 1\right)}^{\frac{2}{3}}}{2 \, x^{2}} + \frac{2 \, {\left(x^{3} + 1\right)}^{\frac{5}{3}}}{5 \, x^{5}} - \frac{{\left(x^{3} + 1\right)}^{\frac{8}{3}}}{8 \, x^{8}} - \frac{7}{243} \, \log\left({\left(x^{3} + 1\right)}^{\frac{2}{3}} + {\left(x^{3} + 1\right)}^{\frac{1}{3}} + 1\right) + \frac{14}{243} \, \log\left({\left(x^{3} + 1\right)}^{\frac{1}{3}} - 1\right)"," ",0,"14/243*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^3 + 1)^(1/3) + 1)) + 1/162*(28*(x^3 + 1)^(8/3) - 77*(x^3 + 1)^(5/3) + 67*(x^3 + 1)^(2/3))/((x^3 + 1)^3 + 3*x^3 - 3*(x^3 + 1)^2 + 2) - 1/2*(x^3 + 1)^(2/3)/x^2 + 2/5*(x^3 + 1)^(5/3)/x^5 - 1/8*(x^3 + 1)^(8/3)/x^8 - 7/243*log((x^3 + 1)^(2/3) + (x^3 + 1)^(1/3) + 1) + 14/243*log((x^3 + 1)^(1/3) - 1)","A",0
1708,1,86,0,0.428997," ","integrate(1/x/(a*x^3+b)^(1/3),x, algorithm=""maxima"")","\frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(a x^{3} + b\right)}^{\frac{1}{3}} + b^{\frac{1}{3}}\right)}}{3 \, b^{\frac{1}{3}}}\right)}{3 \, b^{\frac{1}{3}}} - \frac{\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)}{6 \, b^{\frac{1}{3}}} + \frac{\log\left({\left(a x^{3} + b\right)}^{\frac{1}{3}} - b^{\frac{1}{3}}\right)}{3 \, b^{\frac{1}{3}}}"," ",0,"1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*(a*x^3 + b)^(1/3) + b^(1/3))/b^(1/3))/b^(1/3) - 1/6*log((a*x^3 + b)^(2/3) + (a*x^3 + b)^(1/3)*b^(1/3) + b^(2/3))/b^(1/3) + 1/3*log((a*x^3 + b)^(1/3) - b^(1/3))/b^(1/3)","A",0
1709,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(k^{3} x^{3} - 3 \, k^{2} x^{2} + 3 \, k x - 1\right)} {\left(k x^{2} - 2 \, {\left(k - 1\right)} x - 1\right)}}{{\left(k^{3} x^{3} - {\left(3 \, k^{2} + d\right)} x^{2} + {\left(d + 3 \, k\right)} x - 1\right)} \left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{1}{4}} {\left(x - 1\right)} x}\,{d x}"," ",0,"integrate((k^3*x^3 - 3*k^2*x^2 + 3*k*x - 1)*(k*x^2 - 2*(k - 1)*x - 1)/((k^3*x^3 - (3*k^2 + d)*x^2 + (d + 3*k)*x - 1)*((k*x - 1)*(x - 1)*x)^(1/4)*(x - 1)*x), x)","F",0
1710,0,0,0,0.000000," ","integrate((x^4+3)*(x^4-x^3-1)^(2/3)/x^3/(x^4-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - x^{3} - 1\right)}^{\frac{2}{3}} {\left(x^{4} + 3\right)}}{{\left(x^{4} - 1\right)} x^{3}}\,{d x}"," ",0,"integrate((x^4 - x^3 - 1)^(2/3)*(x^4 + 3)/((x^4 - 1)*x^3), x)","F",0
1711,0,0,0,0.000000," ","integrate((2*x^2+1)*(2*x^3+x)^(1/3)/x^4/(2*x^4+1),x, algorithm=""maxima"")","\int \frac{{\left(2 \, x^{3} + x\right)}^{\frac{1}{3}} {\left(2 \, x^{2} + 1\right)}}{{\left(2 \, x^{4} + 1\right)} x^{4}}\,{d x}"," ",0,"integrate((2*x^3 + x)^(1/3)*(2*x^2 + 1)/((2*x^4 + 1)*x^4), x)","F",0
1712,0,0,0,0.000000," ","integrate(1/(x-(a*x+b)^(1/2)*(c+(a*x+b)^(1/2))^(1/2)),x, algorithm=""maxima"")","-\int \frac{1}{\sqrt{a x + b} \sqrt{c + \sqrt{a x + b}} - x}\,{d x}"," ",0,"-integrate(1/(sqrt(a*x + b)*sqrt(c + sqrt(a*x + b)) - x), x)","F",0
1713,0,0,0,0.000000," ","integrate(1/(x-(a*x+b)^(1/2)*(c+(a*x+b)^(1/2))^(1/2)),x, algorithm=""maxima"")","-\int \frac{1}{\sqrt{a x + b} \sqrt{c + \sqrt{a x + b}} - x}\,{d x}"," ",0,"-integrate(1/(sqrt(a*x + b)*sqrt(c + sqrt(a*x + b)) - x), x)","F",0
1714,0,0,0,0.000000," ","integrate((x^2-x+2)/(x^2-1)^(1/3)/(x^2+4*x+3),x, algorithm=""maxima"")","\int \frac{x^{2} - x + 2}{{\left(x^{2} + 4 \, x + 3\right)} {\left(x^{2} - 1\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((x^2 - x + 2)/((x^2 + 4*x + 3)*(x^2 - 1)^(1/3)), x)","F",0
1715,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(k x^{2} + 2 \, {\left(k - 1\right)} x - 1\right)} {\left(k x - 1\right)} x}{{\left(d x^{3} - {\left(3 \, d + k\right)} x^{2} + {\left(3 \, d + 1\right)} x - d\right)} \left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{3}{4}} {\left(x - 1\right)}}\,{d x}"," ",0,"integrate((k*x^2 + 2*(k - 1)*x - 1)*(k*x - 1)*x/((d*x^3 - (3*d + k)*x^2 + (3*d + 1)*x - d)*((k*x - 1)*(x - 1)*x)^(3/4)*(x - 1)), x)","F",0
1716,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(k x^{2} - 2 \, {\left(k - 1\right)} x - 1\right)} {\left(x - 1\right)} x}{{\left(d k^{3} x^{3} - {\left(3 \, d k^{2} + 1\right)} x^{2} + {\left(3 \, d k + 1\right)} x - d\right)} \left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{3}{4}} {\left(k x - 1\right)}}\,{d x}"," ",0,"integrate((k*x^2 - 2*(k - 1)*x - 1)*(x - 1)*x/((d*k^3*x^3 - (3*d*k^2 + 1)*x^2 + (3*d*k + 1)*x - d)*((k*x - 1)*(x - 1)*x)^(3/4)*(k*x - 1)), x)","F",0
1717,0,0,0,0.000000," ","integrate((x^2+4)*(x^3-2*x)^(1/3)/x^4/(x^4-4*x^2-4),x, algorithm=""maxima"")","\frac{3 \, {\left(36 \, x^{7} - 36 \, x^{5} + 5 \, {\left(3 \, x^{5} + 2 \, x^{3} - 16 \, x\right)} x^{2} - 8 \, x^{3} - 128 \, x\right)} {\left(x^{2} - 2\right)}^{\frac{1}{3}}}{1120 \, {\left(x^{\frac{23}{3}} - 4 \, x^{\frac{17}{3}} - 4 \, x^{\frac{11}{3}}\right)}} + \int \frac{3 \, {\left(36 \, x^{6} - 6 \, x^{4} + {\left(18 \, x^{6} + 27 \, x^{4} + 26 \, x^{2} - 304\right)} x^{2} + 12 \, x^{2} - 288\right)} {\left(x^{2} - 2\right)}^{\frac{1}{3}}}{70 \, {\left(x^{\frac{35}{3}} - 8 \, x^{\frac{29}{3}} + 8 \, x^{\frac{23}{3}} + 32 \, x^{\frac{17}{3}} + 16 \, x^{\frac{11}{3}}\right)}}\,{d x}"," ",0,"3/1120*(36*x^7 - 36*x^5 + 5*(3*x^5 + 2*x^3 - 16*x)*x^2 - 8*x^3 - 128*x)*(x^2 - 2)^(1/3)/(x^(23/3) - 4*x^(17/3) - 4*x^(11/3)) + integrate(3/70*(36*x^6 - 6*x^4 + (18*x^6 + 27*x^4 + 26*x^2 - 304)*x^2 + 12*x^2 - 288)*(x^2 - 2)^(1/3)/(x^(35/3) - 8*x^(29/3) + 8*x^(23/3) + 32*x^(17/3) + 16*x^(11/3)), x)","F",0
1718,0,0,0,0.000000," ","integrate((x^2+4)*(x^3-2*x)^(1/3)/x^4/(x^4-4*x^2-4),x, algorithm=""maxima"")","\frac{3 \, {\left(36 \, x^{7} - 36 \, x^{5} + 5 \, {\left(3 \, x^{5} + 2 \, x^{3} - 16 \, x\right)} x^{2} - 8 \, x^{3} - 128 \, x\right)} {\left(x^{2} - 2\right)}^{\frac{1}{3}}}{1120 \, {\left(x^{\frac{23}{3}} - 4 \, x^{\frac{17}{3}} - 4 \, x^{\frac{11}{3}}\right)}} + \int \frac{3 \, {\left(36 \, x^{6} - 6 \, x^{4} + {\left(18 \, x^{6} + 27 \, x^{4} + 26 \, x^{2} - 304\right)} x^{2} + 12 \, x^{2} - 288\right)} {\left(x^{2} - 2\right)}^{\frac{1}{3}}}{70 \, {\left(x^{\frac{35}{3}} - 8 \, x^{\frac{29}{3}} + 8 \, x^{\frac{23}{3}} + 32 \, x^{\frac{17}{3}} + 16 \, x^{\frac{11}{3}}\right)}}\,{d x}"," ",0,"3/1120*(36*x^7 - 36*x^5 + 5*(3*x^5 + 2*x^3 - 16*x)*x^2 - 8*x^3 - 128*x)*(x^2 - 2)^(1/3)/(x^(23/3) - 4*x^(17/3) - 4*x^(11/3)) + integrate(3/70*(36*x^6 - 6*x^4 + (18*x^6 + 27*x^4 + 26*x^2 - 304)*x^2 + 12*x^2 - 288)*(x^2 - 2)^(1/3)/(x^(35/3) - 8*x^(29/3) + 8*x^(23/3) + 32*x^(17/3) + 16*x^(11/3)), x)","F",0
1719,0,0,0,0.000000," ","integrate((a*x^3+2*b)/(a*x^3+x^2-b)/(a*x^5-b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{3} + 2 \, b}{{\left(a x^{5} - b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{3} + x^{2} - b\right)}}\,{d x}"," ",0,"integrate((a*x^3 + 2*b)/((a*x^5 - b*x^2)^(1/4)*(a*x^3 + x^2 - b)), x)","F",0
1720,0,0,0,0.000000," ","integrate((a*x^2+b)/(a*x^2-b+x)/(a*x^5-b*x^3)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{2} + b}{{\left(a x^{5} - b x^{3}\right)}^{\frac{1}{4}} {\left(a x^{2} - b + x\right)}}\,{d x}"," ",0,"integrate((a*x^2 + b)/((a*x^5 - b*x^3)^(1/4)*(a*x^2 - b + x)), x)","F",0
1721,0,0,0,0.000000," ","integrate((a*x^4+b)/(a*x^4+x^2-b)/(a*x^6-b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{4} + b}{{\left(a x^{6} - b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{4} + x^{2} - b\right)}}\,{d x}"," ",0,"integrate((a*x^4 + b)/((a*x^6 - b*x^2)^(1/4)*(a*x^4 + x^2 - b)), x)","F",0
1722,0,0,0,0.000000," ","integrate((2*a*x^3+b)/(a*x^3-b+x)/(a*x^6-b*x^3)^(1/4),x, algorithm=""maxima"")","\int \frac{2 \, a x^{3} + b}{{\left(a x^{6} - b x^{3}\right)}^{\frac{1}{4}} {\left(a x^{3} - b + x\right)}}\,{d x}"," ",0,"integrate((2*a*x^3 + b)/((a*x^6 - b*x^3)^(1/4)*(a*x^3 - b + x)), x)","F",0
1723,0,0,0,0.000000," ","integrate(1/(a*x^4-b)^(1/4)/(a*x^8-x^4-b),x, algorithm=""maxima"")","\int \frac{1}{{\left(a x^{8} - x^{4} - b\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((a*x^8 - x^4 - b)*(a*x^4 - b)^(1/4)), x)","F",0
1724,0,0,0,0.000000," ","integrate(1/(a*x^4-b)^(1/4)/(a*x^8-x^4-b),x, algorithm=""maxima"")","\int \frac{1}{{\left(a x^{8} - x^{4} - b\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((a*x^8 - x^4 - b)*(a*x^4 - b)^(1/4)), x)","F",0
1725,0,0,0,0.000000," ","integrate((a*x^4+b)/(a*x^4-b)^(1/4)/(a*x^8+c*x^4+b),x, algorithm=""maxima"")","\int \frac{a x^{4} + b}{{\left(a x^{8} + c x^{4} + b\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((a*x^4 + b)/((a*x^8 + c*x^4 + b)*(a*x^4 - b)^(1/4)), x)","F",0
1726,0,0,0,0.000000," ","integrate((a*x^4+b)/(a*x^4-b)^(1/4)/(a*x^8+c*x^4+b),x, algorithm=""maxima"")","\int \frac{a x^{4} + b}{{\left(a x^{8} + c x^{4} + b\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((a*x^4 + b)/((a*x^8 + c*x^4 + b)*(a*x^4 - b)^(1/4)), x)","F",0
1727,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(2 \, x^{5} - 3\right)} {\left(x^{5} + x^{3} + 1\right)}^{\frac{1}{3}} {\left(x^{5} + 1\right)}}{{\left(2 \, x^{10} - 2 \, x^{8} - x^{6} + 4 \, x^{5} - 2 \, x^{3} + 2\right)} x^{2}}\,{d x}"," ",0,"integrate((2*x^5 - 3)*(x^5 + x^3 + 1)^(1/3)*(x^5 + 1)/((2*x^10 - 2*x^8 - x^6 + 4*x^5 - 2*x^3 + 2)*x^2), x)","F",0
1728,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(2 \, x^{5} - 3\right)} {\left(x^{5} + x^{3} + 1\right)}^{\frac{1}{3}} {\left(x^{5} + 1\right)}}{{\left(2 \, x^{10} - 2 \, x^{8} - x^{6} + 4 \, x^{5} - 2 \, x^{3} + 2\right)} x^{2}}\,{d x}"," ",0,"integrate((2*x^5 - 3)*(x^5 + x^3 + 1)^(1/3)*(x^5 + 1)/((2*x^10 - 2*x^8 - x^6 + 4*x^5 - 2*x^3 + 2)*x^2), x)","F",0
1729,0,0,0,0.000000," ","integrate(x^4*(x^3-x)^(1/3),x, algorithm=""maxima"")","\int {\left(x^{3} - x\right)}^{\frac{1}{3}} x^{4}\,{d x}"," ",0,"integrate((x^3 - x)^(1/3)*x^4, x)","F",0
1730,0,0,0,0.000000," ","integrate(x/(a*x^2-b)/(a*x^3+b*x)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{a x^{3} + b x} {\left(a x^{2} - b\right)}}\,{d x}"," ",0,"integrate(x/(sqrt(a*x^3 + b*x)*(a*x^2 - b)), x)","F",0
1731,0,0,0,0.000000," ","integrate((a*x^3+b*x)^(1/2)/(a^2*x^4-b^2),x, algorithm=""maxima"")","\int \frac{\sqrt{a x^{3} + b x}}{a^{2} x^{4} - b^{2}}\,{d x}"," ",0,"integrate(sqrt(a*x^3 + b*x)/(a^2*x^4 - b^2), x)","F",0
1732,1,145,0,0.406190," ","integrate(x^19/(x^6-1)^(1/3),x, algorithm=""maxima"")","-\frac{7}{243} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}} + 1\right)}\right) - \frac{\frac{67 \, {\left(x^{6} - 1\right)}^{\frac{2}{3}}}{x^{4}} - \frac{77 \, {\left(x^{6} - 1\right)}^{\frac{5}{3}}}{x^{10}} + \frac{28 \, {\left(x^{6} - 1\right)}^{\frac{8}{3}}}{x^{16}}}{324 \, {\left(\frac{3 \, {\left(x^{6} - 1\right)}}{x^{6}} - \frac{3 \, {\left(x^{6} - 1\right)}^{2}}{x^{12}} + \frac{{\left(x^{6} - 1\right)}^{3}}{x^{18}} - 1\right)}} + \frac{7}{486} \, \log\left(\frac{{\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}} + \frac{{\left(x^{6} - 1\right)}^{\frac{2}{3}}}{x^{4}} + 1\right) - \frac{7}{243} \, \log\left(\frac{{\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}} - 1\right)"," ",0,"-7/243*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^6 - 1)^(1/3)/x^2 + 1)) - 1/324*(67*(x^6 - 1)^(2/3)/x^4 - 77*(x^6 - 1)^(5/3)/x^10 + 28*(x^6 - 1)^(8/3)/x^16)/(3*(x^6 - 1)/x^6 - 3*(x^6 - 1)^2/x^12 + (x^6 - 1)^3/x^18 - 1) + 7/486*log((x^6 - 1)^(1/3)/x^2 + (x^6 - 1)^(2/3)/x^4 + 1) - 7/243*log((x^6 - 1)^(1/3)/x^2 - 1)","A",0
1733,1,145,0,0.406119," ","integrate(x^15*(x^6-1)^(1/3),x, algorithm=""maxima"")","-\frac{5}{486} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}} + 1\right)}\right) - \frac{\frac{10 \, {\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}} + \frac{13 \, {\left(x^{6} - 1\right)}^{\frac{4}{3}}}{x^{8}} - \frac{5 \, {\left(x^{6} - 1\right)}^{\frac{7}{3}}}{x^{14}}}{324 \, {\left(\frac{3 \, {\left(x^{6} - 1\right)}}{x^{6}} - \frac{3 \, {\left(x^{6} - 1\right)}^{2}}{x^{12}} + \frac{{\left(x^{6} - 1\right)}^{3}}{x^{18}} - 1\right)}} - \frac{5}{972} \, \log\left(\frac{{\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}} + \frac{{\left(x^{6} - 1\right)}^{\frac{2}{3}}}{x^{4}} + 1\right) + \frac{5}{486} \, \log\left(\frac{{\left(x^{6} - 1\right)}^{\frac{1}{3}}}{x^{2}} - 1\right)"," ",0,"-5/486*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^6 - 1)^(1/3)/x^2 + 1)) - 1/324*(10*(x^6 - 1)^(1/3)/x^2 + 13*(x^6 - 1)^(4/3)/x^8 - 5*(x^6 - 1)^(7/3)/x^14)/(3*(x^6 - 1)/x^6 - 3*(x^6 - 1)^2/x^12 + (x^6 - 1)^3/x^18 - 1) - 5/972*log((x^6 - 1)^(1/3)/x^2 + (x^6 - 1)^(2/3)/x^4 + 1) + 5/486*log((x^6 - 1)^(1/3)/x^2 - 1)","A",0
1734,1,145,0,0.412216," ","integrate(x^19/(x^6+1)^(1/3),x, algorithm=""maxima"")","\frac{7}{243} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{6} + 1\right)}^{\frac{1}{3}}}{x^{2}} + 1\right)}\right) + \frac{\frac{67 \, {\left(x^{6} + 1\right)}^{\frac{2}{3}}}{x^{4}} - \frac{77 \, {\left(x^{6} + 1\right)}^{\frac{5}{3}}}{x^{10}} + \frac{28 \, {\left(x^{6} + 1\right)}^{\frac{8}{3}}}{x^{16}}}{324 \, {\left(\frac{3 \, {\left(x^{6} + 1\right)}}{x^{6}} - \frac{3 \, {\left(x^{6} + 1\right)}^{2}}{x^{12}} + \frac{{\left(x^{6} + 1\right)}^{3}}{x^{18}} - 1\right)}} - \frac{7}{486} \, \log\left(\frac{{\left(x^{6} + 1\right)}^{\frac{1}{3}}}{x^{2}} + \frac{{\left(x^{6} + 1\right)}^{\frac{2}{3}}}{x^{4}} + 1\right) + \frac{7}{243} \, \log\left(\frac{{\left(x^{6} + 1\right)}^{\frac{1}{3}}}{x^{2}} - 1\right)"," ",0,"7/243*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^6 + 1)^(1/3)/x^2 + 1)) + 1/324*(67*(x^6 + 1)^(2/3)/x^4 - 77*(x^6 + 1)^(5/3)/x^10 + 28*(x^6 + 1)^(8/3)/x^16)/(3*(x^6 + 1)/x^6 - 3*(x^6 + 1)^2/x^12 + (x^6 + 1)^3/x^18 - 1) - 7/486*log((x^6 + 1)^(1/3)/x^2 + (x^6 + 1)^(2/3)/x^4 + 1) + 7/243*log((x^6 + 1)^(1/3)/x^2 - 1)","A",0
1735,1,145,0,0.411079," ","integrate(x^15*(x^6+1)^(1/3),x, algorithm=""maxima"")","\frac{5}{486} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{6} + 1\right)}^{\frac{1}{3}}}{x^{2}} + 1\right)}\right) + \frac{\frac{10 \, {\left(x^{6} + 1\right)}^{\frac{1}{3}}}{x^{2}} + \frac{13 \, {\left(x^{6} + 1\right)}^{\frac{4}{3}}}{x^{8}} - \frac{5 \, {\left(x^{6} + 1\right)}^{\frac{7}{3}}}{x^{14}}}{324 \, {\left(\frac{3 \, {\left(x^{6} + 1\right)}}{x^{6}} - \frac{3 \, {\left(x^{6} + 1\right)}^{2}}{x^{12}} + \frac{{\left(x^{6} + 1\right)}^{3}}{x^{18}} - 1\right)}} + \frac{5}{972} \, \log\left(\frac{{\left(x^{6} + 1\right)}^{\frac{1}{3}}}{x^{2}} + \frac{{\left(x^{6} + 1\right)}^{\frac{2}{3}}}{x^{4}} + 1\right) - \frac{5}{486} \, \log\left(\frac{{\left(x^{6} + 1\right)}^{\frac{1}{3}}}{x^{2}} - 1\right)"," ",0,"5/486*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^6 + 1)^(1/3)/x^2 + 1)) + 1/324*(10*(x^6 + 1)^(1/3)/x^2 + 13*(x^6 + 1)^(4/3)/x^8 - 5*(x^6 + 1)^(7/3)/x^14)/(3*(x^6 + 1)/x^6 - 3*(x^6 + 1)^2/x^12 + (x^6 + 1)^3/x^18 - 1) + 5/972*log((x^6 + 1)^(1/3)/x^2 + (x^6 + 1)^(2/3)/x^4 + 1) - 5/486*log((x^6 + 1)^(1/3)/x^2 - 1)","A",0
1736,0,0,0,0.000000," ","integrate((x^6-a*x^3-b)/x^6/(a*x^4-b*x)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{6} - a x^{3} - b}{{\left(a x^{4} - b x\right)}^{\frac{1}{4}} x^{6}}\,{d x}"," ",0,"integrate((x^6 - a*x^3 - b)/((a*x^4 - b*x)^(1/4)*x^6), x)","F",0
1737,0,0,0,0.000000," ","integrate((3*x^6-x^4-3)/(x^6-x^4+1)/(x^6-x^4-x^3+1)^(1/3),x, algorithm=""maxima"")","\int \frac{3 \, x^{6} - x^{4} - 3}{{\left(x^{6} - x^{4} - x^{3} + 1\right)}^{\frac{1}{3}} {\left(x^{6} - x^{4} + 1\right)}}\,{d x}"," ",0,"integrate((3*x^6 - x^4 - 3)/((x^6 - x^4 - x^3 + 1)^(1/3)*(x^6 - x^4 + 1)), x)","F",0
1738,0,0,0,0.000000," ","integrate((a*x^6-b)/x^6/(a*x^4-b*x)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{6} - b}{{\left(a x^{4} - b x\right)}^{\frac{1}{4}} x^{6}}\,{d x}"," ",0,"integrate((a*x^6 - b)/((a*x^4 - b*x)^(1/4)*x^6), x)","F",0
1739,0,0,0,0.000000," ","integrate((a*x^6+b)/x^6/(a*x^4-b*x)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{6} + b}{{\left(a x^{4} - b x\right)}^{\frac{1}{4}} x^{6}}\,{d x}"," ",0,"integrate((a*x^6 + b)/((a*x^4 - b*x)^(1/4)*x^6), x)","F",0
1740,0,0,0,0.000000," ","integrate((x^4+x^2)^(1/4)*(x^8-x^4-1)/(x^4-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{8} - x^{4} - 1\right)} {\left(x^{4} + x^{2}\right)}^{\frac{1}{4}}}{x^{4} - 1}\,{d x}"," ",0,"integrate((x^8 - x^4 - 1)*(x^4 + x^2)^(1/4)/(x^4 - 1), x)","F",0
1741,0,0,0,0.000000," ","integrate((2*x^8-a*x^4-b)/(a*x^4+b)^(1/4)/(x^8-a*x^4-b),x, algorithm=""maxima"")","\int \frac{2 \, x^{8} - a x^{4} - b}{{\left(x^{8} - a x^{4} - b\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((2*x^8 - a*x^4 - b)/((x^8 - a*x^4 - b)*(a*x^4 + b)^(1/4)), x)","F",0
1742,0,0,0,0.000000," ","integrate((2*x^8-a*x^4-b)/(a*x^4+b)^(1/4)/(x^8-a*x^4-b),x, algorithm=""maxima"")","\int \frac{2 \, x^{8} - a x^{4} - b}{{\left(x^{8} - a x^{4} - b\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((2*x^8 - a*x^4 - b)/((x^8 - a*x^4 - b)*(a*x^4 + b)^(1/4)), x)","F",0
1743,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{c x^{2} - \sqrt{a x^{2} - b x} x}}{\sqrt{a x^{2} - b x} x^{3}}\,{d x}"," ",0,"integrate(sqrt(c*x^2 - sqrt(a*x^2 - b*x)*x)/(sqrt(a*x^2 - b*x)*x^3), x)","F",0
1744,1,170,0,0.410563," ","integrate((x^3+b)/(x^3+a)^(1/3),x, algorithm=""maxima"")","\frac{1}{9} \, \sqrt{3} a \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{3} + a\right)}^{\frac{1}{3}}}{x} + 1\right)}\right) - \frac{1}{6} \, {\left(2 \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{3} + a\right)}^{\frac{1}{3}}}{x} + 1\right)}\right) - \log\left(\frac{{\left(x^{3} + a\right)}^{\frac{1}{3}}}{x} + \frac{{\left(x^{3} + a\right)}^{\frac{2}{3}}}{x^{2}} + 1\right) + 2 \, \log\left(\frac{{\left(x^{3} + a\right)}^{\frac{1}{3}}}{x} - 1\right)\right)} b - \frac{1}{18} \, a \log\left(\frac{{\left(x^{3} + a\right)}^{\frac{1}{3}}}{x} + \frac{{\left(x^{3} + a\right)}^{\frac{2}{3}}}{x^{2}} + 1\right) + \frac{1}{9} \, a \log\left(\frac{{\left(x^{3} + a\right)}^{\frac{1}{3}}}{x} - 1\right) + \frac{{\left(x^{3} + a\right)}^{\frac{2}{3}} a}{3 \, x^{2} {\left(\frac{x^{3} + a}{x^{3}} - 1\right)}}"," ",0,"1/9*sqrt(3)*a*arctan(1/3*sqrt(3)*(2*(x^3 + a)^(1/3)/x + 1)) - 1/6*(2*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^3 + a)^(1/3)/x + 1)) - log((x^3 + a)^(1/3)/x + (x^3 + a)^(2/3)/x^2 + 1) + 2*log((x^3 + a)^(1/3)/x - 1))*b - 1/18*a*log((x^3 + a)^(1/3)/x + (x^3 + a)^(2/3)/x^2 + 1) + 1/9*a*log((x^3 + a)^(1/3)/x - 1) + 1/3*(x^3 + a)^(2/3)*a/(x^2*((x^3 + a)/x^3 - 1))","A",0
1745,0,0,0,0.000000," ","integrate((a*x^2+b)/(x^3+x)^(1/3),x, algorithm=""maxima"")","\int \frac{a x^{2} + b}{{\left(x^{3} + x\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((a*x^2 + b)/(x^3 + x)^(1/3), x)","F",0
1746,0,0,0,0.000000," ","integrate((x^3-x^2)^(1/3),x, algorithm=""maxima"")","\int {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}\,{d x}"," ",0,"integrate((x^3 - x^2)^(1/3), x)","F",0
1747,0,0,0,0.000000," ","integrate(x^2*(x^3+x^2)^(1/3),x, algorithm=""maxima"")","\int {\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} x^{2}\,{d x}"," ",0,"integrate((x^3 + x^2)^(1/3)*x^2, x)","F",0
1748,0,0,0,0.000000," ","integrate(x^4/(x^4+1)^2/(x^4+x^2)^(1/4),x, algorithm=""maxima"")","\frac{2 \, {\left(4 \, x^{5} + x^{3} - 3 \, x\right)} x^{\frac{7}{2}}}{21 \, {\left(x^{8} + 2 \, x^{4} + 1\right)} {\left(x^{2} + 1\right)}^{\frac{1}{4}}} - \int \frac{16 \, {\left(4 \, x^{4} + x^{2} - 3\right)} x^{\frac{7}{2}}}{21 \, {\left(x^{12} + 3 \, x^{8} + 3 \, x^{4} + 1\right)} {\left(x^{2} + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"2/21*(4*x^5 + x^3 - 3*x)*x^(7/2)/((x^8 + 2*x^4 + 1)*(x^2 + 1)^(1/4)) - integrate(16/21*(4*x^4 + x^2 - 3)*x^(7/2)/((x^12 + 3*x^8 + 3*x^4 + 1)*(x^2 + 1)^(1/4)), x)","F",0
1749,0,0,0,0.000000," ","integrate(x^4/(x^4+1)^2/(x^4+x^2)^(1/4),x, algorithm=""maxima"")","\frac{2 \, {\left(4 \, x^{5} + x^{3} - 3 \, x\right)} x^{\frac{7}{2}}}{21 \, {\left(x^{8} + 2 \, x^{4} + 1\right)} {\left(x^{2} + 1\right)}^{\frac{1}{4}}} - \int \frac{16 \, {\left(4 \, x^{4} + x^{2} - 3\right)} x^{\frac{7}{2}}}{21 \, {\left(x^{12} + 3 \, x^{8} + 3 \, x^{4} + 1\right)} {\left(x^{2} + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"2/21*(4*x^5 + x^3 - 3*x)*x^(7/2)/((x^8 + 2*x^4 + 1)*(x^2 + 1)^(1/4)) - integrate(16/21*(4*x^4 + x^2 - 3)*x^(7/2)/((x^12 + 3*x^8 + 3*x^4 + 1)*(x^2 + 1)^(1/4)), x)","F",0
1750,0,0,0,0.000000," ","integrate((x^4-3)*(x^4-x^3+1)*(x^4+x^3+1)^(2/3)/x^6/(x^4+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + x^{3} + 1\right)}^{\frac{2}{3}} {\left(x^{4} - x^{3} + 1\right)} {\left(x^{4} - 3\right)}}{{\left(x^{4} + 1\right)} x^{6}}\,{d x}"," ",0,"integrate((x^4 + x^3 + 1)^(2/3)*(x^4 - x^3 + 1)*(x^4 - 3)/((x^4 + 1)*x^6), x)","F",0
1751,0,0,0,0.000000," ","integrate((2*a*x^4-b)/(a*x^4+b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{2 \, a x^{4} - b}{{\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{4} + b\right)}}\,{d x}"," ",0,"integrate((2*a*x^4 - b)/((a*x^4 + b*x^2)^(1/4)*(a*x^4 + b)), x)","F",0
1752,0,0,0,0.000000," ","integrate((2*a*x^4-b)/(a*x^4+b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{2 \, a x^{4} - b}{{\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{4} + b\right)}}\,{d x}"," ",0,"integrate((2*a*x^4 - b)/((a*x^4 + b*x^2)^(1/4)*(a*x^4 + b)), x)","F",0
1753,0,0,0,0.000000," ","integrate((x^2+1)/(x^2-1)/(x^5+x)^(1/3),x, algorithm=""maxima"")","\int \frac{x^{2} + 1}{{\left(x^{5} + x\right)}^{\frac{1}{3}} {\left(x^{2} - 1\right)}}\,{d x}"," ",0,"integrate((x^2 + 1)/((x^5 + x)^(1/3)*(x^2 - 1)), x)","F",0
1754,0,0,0,0.000000," ","integrate((x^2-1)*(x^6+x^2)^(1/4)/x^2/(x^2+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(x^{2} - 1\right)}}{{\left(x^{2} + 1\right)} x^{2}}\,{d x}"," ",0,"integrate((x^6 + x^2)^(1/4)*(x^2 - 1)/((x^2 + 1)*x^2), x)","F",0
1755,0,0,0,0.000000," ","integrate((x^2-1)*(x^6+x^2)^(1/4)/x^2/(x^2+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(x^{2} - 1\right)}}{{\left(x^{2} + 1\right)} x^{2}}\,{d x}"," ",0,"integrate((x^6 + x^2)^(1/4)*(x^2 - 1)/((x^2 + 1)*x^2), x)","F",0
1756,0,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(4*x^6-5*x^3+1)/x^6/(2*x^3-1)^2,x, algorithm=""maxima"")","\int \frac{{\left(4 \, x^{6} - 5 \, x^{3} + 1\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{{\left(2 \, x^{3} - 1\right)}^{2} x^{6}}\,{d x}"," ",0,"integrate((4*x^6 - 5*x^3 + 1)*(x^3 - 1)^(2/3)/((2*x^3 - 1)^2*x^6), x)","F",0
1757,1,145,0,0.435712," ","integrate((1+x)^(1/2)*(1+(1+x)^(1/2))^(1/2)/(x-(1+x)^(1/2)),x, algorithm=""maxima"")","\frac{4}{3} \, {\left(\sqrt{x + 1} + 1\right)}^{\frac{3}{2}} + \frac{4}{5} \, \sqrt{5} \log\left(-\frac{\sqrt{5} - 2 \, \sqrt{\sqrt{x + 1} + 1} + 1}{\sqrt{5} + 2 \, \sqrt{\sqrt{x + 1} + 1} - 1}\right) + \frac{4}{5} \, \sqrt{5} \log\left(-\frac{\sqrt{5} - 2 \, \sqrt{\sqrt{x + 1} + 1} - 1}{\sqrt{5} + 2 \, \sqrt{\sqrt{x + 1} + 1} + 1}\right) + 4 \, \sqrt{\sqrt{x + 1} + 1} - 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) + 1)^(3/2) + 4/5*sqrt(5)*log(-(sqrt(5) - 2*sqrt(sqrt(x + 1) + 1) + 1)/(sqrt(5) + 2*sqrt(sqrt(x + 1) + 1) - 1)) + 4/5*sqrt(5)*log(-(sqrt(5) - 2*sqrt(sqrt(x + 1) + 1) - 1)/(sqrt(5) + 2*sqrt(sqrt(x + 1) + 1) + 1)) + 4*sqrt(sqrt(x + 1) + 1) - 2*log(sqrt(x + 1) + sqrt(sqrt(x + 1) + 1)) + 2*log(sqrt(x + 1) - sqrt(sqrt(x + 1) + 1))","A",0
1758,0,0,0,0.000000," ","integrate((a*x+b)^(1/2)/(a*b*x+(a*x+b)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{a x + b}}{\sqrt{a b x + \sqrt{a x + b}}}\,{d x}"," ",0,"integrate(sqrt(a*x + b)/sqrt(a*b*x + sqrt(a*x + b)), x)","F",0
1759,0,0,0,0.000000," ","integrate((a^2*x^4+b)^(1/2)/(a*x^2+(a^2*x^4+b)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{a^{2} x^{4} + b}}{\sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}\,{d x}"," ",0,"integrate(sqrt(a^2*x^4 + b)/sqrt(a*x^2 + sqrt(a^2*x^4 + b)), x)","F",0
1760,0,0,0,0.000000," ","integrate(1/(e*x+f)/(d+(c+(a*x+b)^(1/2))^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(e x + f\right)} \sqrt{d + \sqrt{c + \sqrt{a x + b}}}}\,{d x}"," ",0,"integrate(1/((e*x + f)*sqrt(d + sqrt(c + sqrt(a*x + b)))), x)","F",0
1761,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{a b + {\left(a - 2 \, b\right)} x}{\left(-{\left(a - x\right)} {\left(b - x\right)}^{2} x\right)^{\frac{1}{4}} {\left({\left(d - 1\right)} x^{2} - b^{2} - {\left(a d - 2 \, b\right)} x\right)}}\,{d x}"," ",0,"-integrate((a*b + (a - 2*b)*x)/((-(a - x)*(b - x)^2*x)^(1/4)*((d - 1)*x^2 - b^2 - (a*d - 2*b)*x)), x)","F",0
1762,1,193,0,0.423474," ","integrate(x^13*(x^3-1)^(1/3),x, algorithm=""maxima"")","-\frac{22}{2187} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} + 1\right)}\right) - \frac{\frac{440 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} + \frac{1555 \, {\left(x^{3} - 1\right)}^{\frac{4}{3}}}{x^{4}} - \frac{1815 \, {\left(x^{3} - 1\right)}^{\frac{7}{3}}}{x^{7}} + \frac{1012 \, {\left(x^{3} - 1\right)}^{\frac{10}{3}}}{x^{10}} - \frac{220 \, {\left(x^{3} - 1\right)}^{\frac{13}{3}}}{x^{13}}}{14580 \, {\left(\frac{5 \, {\left(x^{3} - 1\right)}}{x^{3}} - \frac{10 \, {\left(x^{3} - 1\right)}^{2}}{x^{6}} + \frac{10 \, {\left(x^{3} - 1\right)}^{3}}{x^{9}} - \frac{5 \, {\left(x^{3} - 1\right)}^{4}}{x^{12}} + \frac{{\left(x^{3} - 1\right)}^{5}}{x^{15}} - 1\right)}} - \frac{11}{2187} \, \log\left(\frac{{\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} + \frac{{\left(x^{3} - 1\right)}^{\frac{2}{3}}}{x^{2}} + 1\right) + \frac{22}{2187} \, \log\left(\frac{{\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} - 1\right)"," ",0,"-22/2187*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^3 - 1)^(1/3)/x + 1)) - 1/14580*(440*(x^3 - 1)^(1/3)/x + 1555*(x^3 - 1)^(4/3)/x^4 - 1815*(x^3 - 1)^(7/3)/x^7 + 1012*(x^3 - 1)^(10/3)/x^10 - 220*(x^3 - 1)^(13/3)/x^13)/(5*(x^3 - 1)/x^3 - 10*(x^3 - 1)^2/x^6 + 10*(x^3 - 1)^3/x^9 - 5*(x^3 - 1)^4/x^12 + (x^3 - 1)^5/x^15 - 1) - 11/2187*log((x^3 - 1)^(1/3)/x + (x^3 - 1)^(2/3)/x^2 + 1) + 22/2187*log((x^3 - 1)^(1/3)/x - 1)","A",0
1763,0,0,0,0.000000," ","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=""maxima"")","\int \frac{a b^{2} - 2 \, {\left(2 \, a - b\right)} b x + {\left(3 \, a - 2 \, b\right)} x^{2}}{\left(-{\left(a - x\right)} {\left(b - x\right)}^{2} x\right)^{\frac{1}{4}} {\left({\left(d - 1\right)} x^{3} + a^{3} - {\left(2 \, b d - 3 \, a\right)} x^{2} + {\left(b^{2} d - 3 \, a^{2}\right)} x\right)}}\,{d x}"," ",0,"integrate((a*b^2 - 2*(2*a - b)*b*x + (3*a - 2*b)*x^2)/((-(a - x)*(b - x)^2*x)^(1/4)*((d - 1)*x^3 + a^3 - (2*b*d - 3*a)*x^2 + (b^2*d - 3*a^2)*x)), x)","F",0
1764,0,0,0,0.000000," ","integrate((2*x^3+x)^(1/3)*(x^4-1)/x^4/(x^4-x^2+2),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - 1\right)} {\left(2 \, x^{3} + x\right)}^{\frac{1}{3}}}{{\left(x^{4} - x^{2} + 2\right)} x^{4}}\,{d x}"," ",0,"integrate((x^4 - 1)*(2*x^3 + x)^(1/3)/((x^4 - x^2 + 2)*x^4), x)","F",0
1765,0,0,0,0.000000," ","integrate((2*a*x^4+b)/(a*x^4-b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{2 \, a x^{4} + b}{{\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{4} - b\right)}}\,{d x}"," ",0,"integrate((2*a*x^4 + b)/((a*x^4 + b*x^2)^(1/4)*(a*x^4 - b)), x)","F",0
1766,0,0,0,0.000000," ","integrate((2*a*x^4+b)/(a*x^4-b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{2 \, a x^{4} + b}{{\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{4} - b\right)}}\,{d x}"," ",0,"integrate((2*a*x^4 + b)/((a*x^4 + b*x^2)^(1/4)*(a*x^4 - b)), x)","F",0
1767,0,0,0,0.000000," ","integrate((x^6+1)*(x^6-x^3-1)^(2/3)/x^3/(x^6-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} - x^{3} - 1\right)}^{\frac{2}{3}} {\left(x^{6} + 1\right)}}{{\left(x^{6} - 1\right)} x^{3}}\,{d x}"," ",0,"integrate((x^6 - x^3 - 1)^(2/3)*(x^6 + 1)/((x^6 - 1)*x^3), x)","F",0
1768,0,0,0,0.000000," ","integrate((x^6+4)*(x^6-x^4-2)^(1/4)/x^2/(x^6-2),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} - x^{4} - 2\right)}^{\frac{1}{4}} {\left(x^{6} + 4\right)}}{{\left(x^{6} - 2\right)} x^{2}}\,{d x}"," ",0,"integrate((x^6 - x^4 - 2)^(1/4)*(x^6 + 4)/((x^6 - 2)*x^2), x)","F",0
1769,0,0,0,0.000000," ","integrate((a*x^8+b*x^7)^(1/4),x, algorithm=""maxima"")","\int {\left(a x^{8} + b x^{7}\right)}^{\frac{1}{4}}\,{d x}"," ",0,"integrate((a*x^8 + b*x^7)^(1/4), x)","F",0
1770,0,0,0,0.000000," ","integrate((x^10-1)/(x^4+1)^(1/2)/(x^10+1),x, algorithm=""maxima"")","\int \frac{x^{10} - 1}{{\left(x^{10} + 1\right)} \sqrt{x^{4} + 1}}\,{d x}"," ",0,"integrate((x^10 - 1)/((x^10 + 1)*sqrt(x^4 + 1)), x)","F",0
1771,0,0,0,0.000000," ","integrate((x^10+1)/(x^4+1)^(1/2)/(x^10-1),x, algorithm=""maxima"")","\int \frac{x^{10} + 1}{{\left(x^{10} - 1\right)} \sqrt{x^{4} + 1}}\,{d x}"," ",0,"integrate((x^10 + 1)/((x^10 - 1)*sqrt(x^4 + 1)), x)","F",0
1772,0,0,0,0.000000," ","integrate((x^16+1)/(x^4+1)^(1/2)/(x^16-1),x, algorithm=""maxima"")","\int \frac{x^{16} + 1}{{\left(x^{16} - 1\right)} \sqrt{x^{4} + 1}}\,{d x}"," ",0,"integrate((x^16 + 1)/((x^16 - 1)*sqrt(x^4 + 1)), x)","F",0
1773,1,95,0,1.800508," ","integrate((a*x+b)^(1/2)*(c+(a*x+b)^(1/2))^(1/2)/(1-(a*x+b)^(1/2)),x, algorithm=""maxima"")","-\frac{2 \, {\left(6 \, {\left(c + \sqrt{a x + b}\right)}^{\frac{5}{2}} - 10 \, {\left(c + \sqrt{a x + b}\right)}^{\frac{3}{2}} {\left(c - 1\right)} + 15 \, \sqrt{c + 1} \log\left(\frac{\sqrt{c + \sqrt{a x + b}} - \sqrt{c + 1}}{\sqrt{c + \sqrt{a x + b}} + \sqrt{c + 1}}\right) + 30 \, \sqrt{c + \sqrt{a x + b}}\right)}}{15 \, a}"," ",0,"-2/15*(6*(c + sqrt(a*x + b))^(5/2) - 10*(c + sqrt(a*x + b))^(3/2)*(c - 1) + 15*sqrt(c + 1)*log((sqrt(c + sqrt(a*x + b)) - sqrt(c + 1))/(sqrt(c + sqrt(a*x + b)) + sqrt(c + 1))) + 30*sqrt(c + sqrt(a*x + b)))/a","A",0
1774,0,0,0,0.000000," ","integrate(x*(x^2-1)^(1/2)*(x^2+x*(x^2-1)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{x^{2} + \sqrt{x^{2} - 1} x} \sqrt{x^{2} - 1} x\,{d x}"," ",0,"integrate(sqrt(x^2 + sqrt(x^2 - 1)*x)*sqrt(x^2 - 1)*x, x)","F",0
1775,0,0,0,0.000000," ","integrate((p*x^2-q)*(p^2*x^4+q^2)^(1/2)*(b*x^3+a*(p*x^2+q)^3)/x^6,x, algorithm=""maxima"")","\int \frac{\sqrt{p^{2} x^{4} + q^{2}} {\left({\left(p x^{2} + q\right)}^{3} a + b x^{3}\right)} {\left(p x^{2} - q\right)}}{x^{6}}\,{d x}"," ",0,"integrate(sqrt(p^2*x^4 + q^2)*((p*x^2 + q)^3*a + b*x^3)*(p*x^2 - q)/x^6, x)","F",0
1776,0,0,0,0.000000," ","integrate((x^2-1)*(x^2+(x^4+1)^(1/2))^(1/2)/(x^4+1)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(x^{2} - 1\right)}}{\sqrt{x^{4} + 1}}\,{d x}"," ",0,"integrate(sqrt(x^2 + sqrt(x^4 + 1))*(x^2 - 1)/sqrt(x^4 + 1), x)","F",0
1777,1,102,0,0.859960," ","integrate(x*(1+x)^(1/2)/(x+(1+(1+x)^(1/2))^(1/2)),x, algorithm=""maxima"")","\frac{2}{3} \, {\left(\sqrt{x + 1} + 1\right)}^{3} - 2 \, {\left(\sqrt{x + 1} + 1\right)}^{2} - \frac{4}{3} \, {\left(\sqrt{x + 1} + 1\right)}^{\frac{3}{2}} - \frac{2}{5} \, \sqrt{5} \log\left(-\frac{\sqrt{5} - 2 \, \sqrt{\sqrt{x + 1} + 1} - 1}{\sqrt{5} + 2 \, \sqrt{\sqrt{x + 1} + 1} + 1}\right) + 2 \, \sqrt{x + 1} + 2 \, \log\left(\sqrt{x + 1} + \sqrt{\sqrt{x + 1} + 1}\right) + 2"," ",0,"2/3*(sqrt(x + 1) + 1)^3 - 2*(sqrt(x + 1) + 1)^2 - 4/3*(sqrt(x + 1) + 1)^(3/2) - 2/5*sqrt(5)*log(-(sqrt(5) - 2*sqrt(sqrt(x + 1) + 1) - 1)/(sqrt(5) + 2*sqrt(sqrt(x + 1) + 1) + 1)) + 2*sqrt(x + 1) + 2*log(sqrt(x + 1) + sqrt(sqrt(x + 1) + 1)) + 2","A",0
1778,0,0,0,0.000000," ","integrate((x^3-x)^(1/3)*(x^4-10*x^2+8)/x^4/(x^4-2*x^2+4),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - 10 \, x^{2} + 8\right)} {\left(x^{3} - x\right)}^{\frac{1}{3}}}{{\left(x^{4} - 2 \, x^{2} + 4\right)} x^{4}}\,{d x}"," ",0,"integrate((x^4 - 10*x^2 + 8)*(x^3 - x)^(1/3)/((x^4 - 2*x^2 + 4)*x^4), x)","F",0
1779,0,0,0,0.000000," ","integrate((x^3-x)^(1/3)*(x^4-10*x^2+8)/x^4/(x^4-2*x^2+4),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - 10 \, x^{2} + 8\right)} {\left(x^{3} - x\right)}^{\frac{1}{3}}}{{\left(x^{4} - 2 \, x^{2} + 4\right)} x^{4}}\,{d x}"," ",0,"integrate((x^4 - 10*x^2 + 8)*(x^3 - x)^(1/3)/((x^4 - 2*x^2 + 4)*x^4), x)","F",0
1780,0,0,0,0.000000," ","integrate((x^2-1)/(x^2+1)/(x^4+x^3-x^2-x+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} - 1}{\sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(x^{2} + 1\right)}}\,{d x}"," ",0,"integrate((x^2 - 1)/(sqrt(x^4 + x^3 - x^2 - x + 1)*(x^2 + 1)), x)","F",0
1781,0,0,0,0.000000," ","integrate((x^2-1)/(x^2+1)/(x^4+x^3-x^2-x+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} - 1}{\sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(x^{2} + 1\right)}}\,{d x}"," ",0,"integrate((x^2 - 1)/(sqrt(x^4 + x^3 - x^2 - x + 1)*(x^2 + 1)), x)","F",0
1782,0,0,0,0.000000," ","integrate((x^4-1)/(x^4+1)/(x^4+x^3-x^2-x+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{4} - 1}{\sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(x^{4} + 1\right)}}\,{d x}"," ",0,"integrate((x^4 - 1)/(sqrt(x^4 + x^3 - x^2 - x + 1)*(x^4 + 1)), x)","F",0
1783,0,0,0,0.000000," ","integrate((x^4-1)/(x^4+1)/(x^4+x^3-x^2-x+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{4} - 1}{\sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(x^{4} + 1\right)}}\,{d x}"," ",0,"integrate((x^4 - 1)/(sqrt(x^4 + x^3 - x^2 - x + 1)*(x^4 + 1)), x)","F",0
1784,0,0,0,0.000000," ","integrate((a*x^8+b)/x^6/(a*x^4-b)/(a*x^4+b)^(3/4),x, algorithm=""maxima"")","\int \frac{a x^{8} + b}{{\left(a x^{4} + b\right)}^{\frac{3}{4}} {\left(a x^{4} - b\right)} x^{6}}\,{d x}"," ",0,"integrate((a*x^8 + b)/((a*x^4 + b)^(3/4)*(a*x^4 - b)*x^6), x)","F",0
1785,0,0,0,0.000000," ","integrate((2*a*x^4-b)/(a*x^4-b)^(1/4)/(2*a*x^8-c*x^4-2*b),x, algorithm=""maxima"")","\int \frac{2 \, a x^{4} - b}{{\left(2 \, a x^{8} - c x^{4} - 2 \, b\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((2*a*x^4 - b)/((2*a*x^8 - c*x^4 - 2*b)*(a*x^4 - b)^(1/4)), x)","F",0
1786,0,0,0,0.000000," ","integrate((2*a*x^4-b)/(a*x^4-b)^(1/4)/(2*a*x^8-c*x^4-2*b),x, algorithm=""maxima"")","\int \frac{2 \, a x^{4} - b}{{\left(2 \, a x^{8} - c x^{4} - 2 \, b\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((2*a*x^4 - b)/((2*a*x^8 - c*x^4 - 2*b)*(a*x^4 - b)^(1/4)), x)","F",0
1787,0,0,0,0.000000," ","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=""maxima"")","\int \frac{a b + a c - 3 \, b c - 2 \, {\left(a - b - c\right)} x - x^{2}}{{\left(a^{3} + b c d + {\left(3 \, a + d\right)} x^{2} - x^{3} - {\left(3 \, a^{2} + b d + c d\right)} x\right)} \left(-{\left(a - x\right)} {\left(b - x\right)} {\left(c - x\right)}\right)^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((a*b + a*c - 3*b*c - 2*(a - b - c)*x - x^2)/((a^3 + b*c*d + (3*a + d)*x^2 - x^3 - (3*a^2 + b*d + c*d)*x)*(-(a - x)*(b - x)*(c - x))^(1/4)), x)","F",0
1788,0,0,0,0.000000," ","integrate(1/(a*x-b)/(a^2*x^3+b^2*x)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(a^{2} x^{3} + b^{2} x\right)}^{\frac{1}{4}} {\left(a x - b\right)}}\,{d x}"," ",0,"integrate(1/((a^2*x^3 + b^2*x)^(1/4)*(a*x - b)), x)","F",0
1789,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{x^{4} - 3 \, x^{2} + 4} {\left(x^{2} - 2 \, x - 2\right)} {\left(x^{2} + 2\right)}}{{\left(2 \, x^{2} + x - 4\right)} {\left(x^{2} - 2\right)} x^{2}}\,{d x}"," ",0,"integrate(sqrt(x^4 - 3*x^2 + 4)*(x^2 - 2*x - 2)*(x^2 + 2)/((2*x^2 + x - 4)*(x^2 - 2)*x^2), x)","F",0
1790,0,0,0,0.000000," ","integrate((1+x)/(-1+x)/(x^4+x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{x + 1}{{\left(x^{4} + x^{2}\right)}^{\frac{1}{3}} {\left(x - 1\right)}}\,{d x}"," ",0,"integrate((x + 1)/((x^4 + x^2)^(1/3)*(x - 1)), x)","F",0
1791,0,0,0,0.000000," ","integrate((a^4*x^4-b^2)/(a^2*x^3+b*x)^(1/2)/(a^4*x^4+b^2),x, algorithm=""maxima"")","\int \frac{a^{4} x^{4} - b^{2}}{{\left(a^{4} x^{4} + b^{2}\right)} \sqrt{a^{2} x^{3} + b x}}\,{d x}"," ",0,"integrate((a^4*x^4 - b^2)/((a^4*x^4 + b^2)*sqrt(a^2*x^3 + b*x)), x)","F",0
1792,0,0,0,0.000000," ","integrate((x^2-1)/(x^2+1)/(x^5+x)^(1/3),x, algorithm=""maxima"")","\int \frac{x^{2} - 1}{{\left(x^{5} + x\right)}^{\frac{1}{3}} {\left(x^{2} + 1\right)}}\,{d x}"," ",0,"integrate((x^2 - 1)/((x^5 + x)^(1/3)*(x^2 + 1)), x)","F",0
1793,0,0,0,0.000000," ","integrate((x^4+1)*(x^4-x^2)^(1/4)/(x^8+x^4+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} + 1\right)}}{x^{8} + x^{4} + 1}\,{d x}"," ",0,"integrate((x^4 - x^2)^(1/4)*(x^4 + 1)/(x^8 + x^4 + 1), x)","F",0
1794,0,0,0,0.000000," ","integrate((x^4+1)*(x^4-x^2)^(1/4)/(x^8+x^4+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} + 1\right)}}{x^{8} + x^{4} + 1}\,{d x}"," ",0,"integrate((x^4 - x^2)^(1/4)*(x^4 + 1)/(x^8 + x^4 + 1), x)","F",0
1795,0,0,0,0.000000," ","integrate((2*x^8-2*x^4+1)/(x^4-1)^(1/4)/(2*x^8-x^4-2),x, algorithm=""maxima"")","\int \frac{2 \, x^{8} - 2 \, x^{4} + 1}{{\left(2 \, x^{8} - x^{4} - 2\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((2*x^8 - 2*x^4 + 1)/((2*x^8 - x^4 - 2)*(x^4 - 1)^(1/4)), x)","F",0
1796,0,0,0,0.000000," ","integrate((x^2-x)^(1/2)*(x^2-x*(x^2-x)^(1/2))^(1/2)/x^3,x, algorithm=""maxima"")","\int \frac{\sqrt{x^{2} - \sqrt{x^{2} - x} x} \sqrt{x^{2} - x}}{x^{3}}\,{d x}"," ",0,"integrate(sqrt(x^2 - sqrt(x^2 - x)*x)*sqrt(x^2 - x)/x^3, x)","F",0
1797,0,0,0,0.000000," ","integrate((2*a*x+b)/(a*x^2+b*x+c)^(1/4)/(4*a*x^2+4*b*x+5*c),x, algorithm=""maxima"")","\int \frac{2 \, a x + b}{{\left(4 \, a x^{2} + 4 \, b x + 5 \, c\right)} {\left(a x^{2} + b x + c\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((2*a*x + b)/((4*a*x^2 + 4*b*x + 5*c)*(a*x^2 + b*x + c)^(1/4)), x)","F",0
1798,0,0,0,0.000000," ","integrate(x^6*(x^3-x)^(1/3),x, algorithm=""maxima"")","\int {\left(x^{3} - x\right)}^{\frac{1}{3}} x^{6}\,{d x}"," ",0,"integrate((x^3 - x)^(1/3)*x^6, x)","F",0
1799,0,0,0,0.000000," ","integrate(1/(x^3+x^2-x-1)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{3} + x^{2} - x - 1\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((x^3 + x^2 - x - 1)^(-1/3), x)","F",0
1800,0,0,0,0.000000," ","integrate((2*x^4+1)/(x^4-1)/(x^4-x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{2 \, x^{4} + 1}{{\left(x^{4} - x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} - 1\right)}}\,{d x}"," ",0,"integrate((2*x^4 + 1)/((x^4 - x^2)^(1/4)*(x^4 - 1)), x)","F",0
1801,0,0,0,0.000000," ","integrate((a*x^4-b)*(a*x^4+b*x^2)^(1/4)/x^2,x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{4} - b\right)}}{x^{2}}\,{d x}"," ",0,"integrate((a*x^4 + b*x^2)^(1/4)*(a*x^4 - b)/x^2, x)","F",0
1802,0,0,0,0.000000," ","integrate((a*x^4+b)*(a*x^4+b*x^2)^(1/4)/x^2,x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{4} + b\right)}}{x^{2}}\,{d x}"," ",0,"integrate((a*x^4 + b*x^2)^(1/4)*(a*x^4 + b)/x^2, x)","F",0
1803,0,0,0,0.000000," ","integrate((2*a*x^4+b)/(a*x^4-b)/(a*x^4-b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{2 \, a x^{4} + b}{{\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{4} - b\right)}}\,{d x}"," ",0,"integrate((2*a*x^4 + b)/((a*x^4 - b*x^2)^(1/4)*(a*x^4 - b)), x)","F",0
1804,0,0,0,0.000000," ","integrate((2*a*x^4+b)/(a*x^4-b)/(a*x^4-b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{2 \, a x^{4} + b}{{\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{4} - b\right)}}\,{d x}"," ",0,"integrate((2*a*x^4 + b)/((a*x^4 - b*x^2)^(1/4)*(a*x^4 - b)), x)","F",0
1805,1,361,0,0.733552," ","integrate((2*x^8-2*a*x^4-b)/(a*x^4-b)^(1/4),x, algorithm=""maxima"")","\frac{1}{8} \, a {\left(\frac{b {\left(\frac{2 \, \arctan\left(\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}} - \frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}}{a^{\frac{1}{4}} + \frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}}\right)}{a^{\frac{1}{4}}}\right)}}{a} - \frac{4 \, {\left(a x^{4} - b\right)}^{\frac{3}{4}} b}{{\left(a^{2} - \frac{{\left(a x^{4} - b\right)} a}{x^{4}}\right)} x^{3}}\right)} + \frac{1}{4} \, b {\left(\frac{2 \, \arctan\left(\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}} - \frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}}{a^{\frac{1}{4}} + \frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}}\right)}{a^{\frac{1}{4}}}\right)} - \frac{5 \, b^{2} {\left(\frac{2 \, \arctan\left(\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}} - \frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}}{a^{\frac{1}{4}} + \frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}}}{x}}\right)}{a^{\frac{1}{4}}}\right)}}{64 \, a^{2}} + \frac{\frac{9 \, {\left(a x^{4} - b\right)}^{\frac{3}{4}} a b^{2}}{x^{3}} - \frac{5 \, {\left(a x^{4} - b\right)}^{\frac{7}{4}} b^{2}}{x^{7}}}{16 \, {\left(a^{4} - \frac{2 \, {\left(a x^{4} - b\right)} a^{3}}{x^{4}} + \frac{{\left(a x^{4} - b\right)}^{2} a^{2}}{x^{8}}\right)}}"," ",0,"1/8*a*(b*(2*arctan((a*x^4 - b)^(1/4)/(a^(1/4)*x))/a^(1/4) + log(-(a^(1/4) - (a*x^4 - b)^(1/4)/x)/(a^(1/4) + (a*x^4 - b)^(1/4)/x))/a^(1/4))/a - 4*(a*x^4 - b)^(3/4)*b/((a^2 - (a*x^4 - b)*a/x^4)*x^3)) + 1/4*b*(2*arctan((a*x^4 - b)^(1/4)/(a^(1/4)*x))/a^(1/4) + log(-(a^(1/4) - (a*x^4 - b)^(1/4)/x)/(a^(1/4) + (a*x^4 - b)^(1/4)/x))/a^(1/4)) - 5/64*b^2*(2*arctan((a*x^4 - b)^(1/4)/(a^(1/4)*x))/a^(1/4) + log(-(a^(1/4) - (a*x^4 - b)^(1/4)/x)/(a^(1/4) + (a*x^4 - b)^(1/4)/x))/a^(1/4))/a^2 + 1/16*(9*(a*x^4 - b)^(3/4)*a*b^2/x^3 - 5*(a*x^4 - b)^(7/4)*b^2/x^7)/(a^4 - 2*(a*x^4 - b)*a^3/x^4 + (a*x^4 - b)^2*a^2/x^8)","B",0
1806,0,0,0,0.000000," ","integrate((-1+x)/(x^2-2*x-4)/(x^2-2*x-2)^(1/3),x, algorithm=""maxima"")","\int \frac{x - 1}{{\left(x^{2} - 2 \, x - 2\right)}^{\frac{1}{3}} {\left(x^{2} - 2 \, x - 4\right)}}\,{d x}"," ",0,"integrate((x - 1)/((x^2 - 2*x - 2)^(1/3)*(x^2 - 2*x - 4)), x)","F",0
1807,0,0,0,0.000000," ","integrate(1/(1+x)/(x^2+2*x+3)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{2} + 2 \, x + 3\right)}^{\frac{1}{3}} {\left(x + 1\right)}}\,{d x}"," ",0,"integrate(1/((x^2 + 2*x + 3)^(1/3)*(x + 1)), x)","F",0
1808,1,162,0,2.055458," ","integrate(1/x/(a*x^2-b)^(3/4),x, algorithm=""maxima"")","\frac{\sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} + 2 \, {\left(a x^{2} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{2 \, b^{\frac{3}{4}}} + \frac{\sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} - 2 \, {\left(a x^{2} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{2 \, b^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(\sqrt{2} {\left(a x^{2} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{2} - b} + \sqrt{b}\right)}{4 \, b^{\frac{3}{4}}} - \frac{\sqrt{2} \log\left(-\sqrt{2} {\left(a x^{2} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{2} - b} + \sqrt{b}\right)}{4 \, b^{\frac{3}{4}}}"," ",0,"1/2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4) + 2*(a*x^2 - b)^(1/4))/b^(1/4))/b^(3/4) + 1/2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4) - 2*(a*x^2 - b)^(1/4))/b^(1/4))/b^(3/4) + 1/4*sqrt(2)*log(sqrt(2)*(a*x^2 - b)^(1/4)*b^(1/4) + sqrt(a*x^2 - b) + sqrt(b))/b^(3/4) - 1/4*sqrt(2)*log(-sqrt(2)*(a*x^2 - b)^(1/4)*b^(1/4) + sqrt(a*x^2 - b) + sqrt(b))/b^(3/4)","A",0
1809,1,95,0,1.448910," ","integrate(1/x/(a*x^3-b)^(1/3),x, algorithm=""maxima"")","\frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(a x^{3} - b\right)}^{\frac{1}{3}} - b^{\frac{1}{3}}\right)}}{3 \, b^{\frac{1}{3}}}\right)}{3 \, b^{\frac{1}{3}}} + \frac{\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)}{6 \, b^{\frac{1}{3}}} - \frac{\log\left({\left(a x^{3} - b\right)}^{\frac{1}{3}} + b^{\frac{1}{3}}\right)}{3 \, b^{\frac{1}{3}}}"," ",0,"1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*(a*x^3 - b)^(1/3) - b^(1/3))/b^(1/3))/b^(1/3) + 1/6*log((a*x^3 - b)^(2/3) - (a*x^3 - b)^(1/3)*b^(1/3) + b^(2/3))/b^(1/3) - 1/3*log((a*x^3 - b)^(1/3) + b^(1/3))/b^(1/3)","A",0
1810,0,0,0,0.000000," ","integrate((a^3*x^3-b^3)/(a^2*x^3+b^2*x)^(1/2)/(a^3*x^3+b^3),x, algorithm=""maxima"")","\int \frac{a^{3} x^{3} - b^{3}}{{\left(a^{3} x^{3} + b^{3}\right)} \sqrt{a^{2} x^{3} + b^{2} x}}\,{d x}"," ",0,"integrate((a^3*x^3 - b^3)/((a^3*x^3 + b^3)*sqrt(a^2*x^3 + b^2*x)), x)","F",0
1811,0,0,0,0.000000," ","integrate((a^3*x^3+b^3)/(a^2*x^3+b^2*x)^(1/2)/(a^3*x^3-b^3),x, algorithm=""maxima"")","\int \frac{a^{3} x^{3} + b^{3}}{{\left(a^{3} x^{3} - b^{3}\right)} \sqrt{a^{2} x^{3} + b^{2} x}}\,{d x}"," ",0,"integrate((a^3*x^3 + b^3)/((a^3*x^3 - b^3)*sqrt(a^2*x^3 + b^2*x)), x)","F",0
1812,0,0,0,0.000000," ","integrate((x^4+x^3)^(1/4)/(2*x^2+x-2),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + x^{3}\right)}^{\frac{1}{4}}}{2 \, x^{2} + x - 2}\,{d x}"," ",0,"integrate((x^4 + x^3)^(1/4)/(2*x^2 + x - 2), x)","F",0
1813,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(a x^{3} - x^{4} - b\right)} {\left(a x^{3} - 4 \, b\right)}}{{\left(a x^{3} + x^{4} - b\right)} {\left(a x^{3} - b\right)}^{\frac{1}{4}} x^{4}}\,{d x}"," ",0,"-integrate((a*x^3 - x^4 - b)*(a*x^3 - 4*b)/((a*x^3 + x^4 - b)*(a*x^3 - b)^(1/4)*x^4), x)","F",0
1814,0,0,0,0.000000," ","integrate((x^2-2)*(x^2-1)*(x^4+x^2-1)^(1/4)/x^6/(2*x^4+x^2-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + x^{2} - 1\right)}^{\frac{1}{4}} {\left(x^{2} - 1\right)} {\left(x^{2} - 2\right)}}{{\left(2 \, x^{4} + x^{2} - 1\right)} x^{6}}\,{d x}"," ",0,"integrate((x^4 + x^2 - 1)^(1/4)*(x^2 - 1)*(x^2 - 2)/((2*x^4 + x^2 - 1)*x^6), x)","F",0
1815,0,0,0,0.000000," ","integrate(x^2*(a*x^4+b*x^3)^(1/4),x, algorithm=""maxima"")","\int {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} x^{2}\,{d x}"," ",0,"integrate((a*x^4 + b*x^3)^(1/4)*x^2, x)","F",0
1816,0,0,0,0.000000," ","integrate((x^6+1)/(x^3+x^2+x)^(1/2)/(-x^6+1),x, algorithm=""maxima"")","-\int \frac{x^{6} + 1}{{\left(x^{6} - 1\right)} \sqrt{x^{3} + x^{2} + x}}\,{d x}"," ",0,"-integrate((x^6 + 1)/((x^6 - 1)*sqrt(x^3 + x^2 + x)), x)","F",0
1817,0,0,0,0.000000," ","integrate((3*x^6-3*x^3+1)/x^6/(2*x^3-1)/(x^4-x)^(1/4),x, algorithm=""maxima"")","\int \frac{3 \, x^{6} - 3 \, x^{3} + 1}{{\left(x^{4} - x\right)}^{\frac{1}{4}} {\left(2 \, x^{3} - 1\right)} x^{6}}\,{d x}"," ",0,"integrate((3*x^6 - 3*x^3 + 1)/((x^4 - x)^(1/4)*(2*x^3 - 1)*x^6), x)","F",0
1818,0,0,0,0.000000," ","integrate((a*x^6+b)/x^3/(a*x^3+b)/(a*x^4+b*x)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{6} + b}{{\left(a x^{4} + b x\right)}^{\frac{1}{4}} {\left(a x^{3} + b\right)} x^{3}}\,{d x}"," ",0,"integrate((a*x^6 + b)/((a*x^4 + b*x)^(1/4)*(a*x^3 + b)*x^3), x)","F",0
1819,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(2 \, x^{4} + x + 2\right)} {\left(x^{4} - x^{2} - x - 1\right)}}{{\left(4 \, x^{8} + x^{6} - 8 \, x^{5} - 7 \, x^{4} - x^{3} + 3 \, x^{2} + 8 \, x + 4\right)} \sqrt{x^{4} - x - 1}}\,{d x}"," ",0,"integrate((2*x^4 + x + 2)*(x^4 - x^2 - x - 1)/((4*x^8 + x^6 - 8*x^5 - 7*x^4 - x^3 + 3*x^2 + 8*x + 4)*sqrt(x^4 - x - 1)), x)","F",0
1820,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(2 \, x^{6} - 1\right)} {\left(x^{6} + 1\right)}^{2}}{{\left(x^{12} - x^{8} + 2 \, x^{6} - x^{4} - x^{2} + 1\right)} {\left(x^{6} - x^{2} + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((2*x^6 - 1)*(x^6 + 1)^2/((x^12 - x^8 + 2*x^6 - x^4 - x^2 + 1)*(x^6 - x^2 + 1)^(3/2)), x)","F",0
1821,0,0,0,0.000000," ","integrate(1/(2*x^(1/2)+(1+x)^(1/2))^2,x, algorithm=""maxima"")","\int \frac{1}{{\left(\sqrt{x + 1} + 2 \, \sqrt{x}\right)}^{2}}\,{d x}"," ",0,"integrate((sqrt(x + 1) + 2*sqrt(x))^(-2), x)","F",0
1822,0,0,0,0.000000," ","integrate(1/x^3/(a*x^2+b*x*(-a/b^2+a^2*x^2/b^2)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{a x^{2} + \sqrt{\frac{a^{2} x^{2}}{b^{2}} - \frac{a}{b^{2}}} b x} x^{3}}\,{d x}"," ",0,"integrate(1/(sqrt(a*x^2 + sqrt(a^2*x^2/b^2 - a/b^2)*b*x)*x^3), x)","F",0
1823,1,162,0,0.557132," ","integrate(1/x/(a*x^2-b)^(1/4),x, algorithm=""maxima"")","\frac{\sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} + 2 \, {\left(a x^{2} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{2 \, b^{\frac{1}{4}}} + \frac{\sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} - 2 \, {\left(a x^{2} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{2 \, b^{\frac{1}{4}}} - \frac{\sqrt{2} \log\left(\sqrt{2} {\left(a x^{2} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{2} - b} + \sqrt{b}\right)}{4 \, b^{\frac{1}{4}}} + \frac{\sqrt{2} \log\left(-\sqrt{2} {\left(a x^{2} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{2} - b} + \sqrt{b}\right)}{4 \, b^{\frac{1}{4}}}"," ",0,"1/2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4) + 2*(a*x^2 - b)^(1/4))/b^(1/4))/b^(1/4) + 1/2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4) - 2*(a*x^2 - b)^(1/4))/b^(1/4))/b^(1/4) - 1/4*sqrt(2)*log(sqrt(2)*(a*x^2 - b)^(1/4)*b^(1/4) + sqrt(a*x^2 - b) + sqrt(b))/b^(1/4) + 1/4*sqrt(2)*log(-sqrt(2)*(a*x^2 - b)^(1/4)*b^(1/4) + sqrt(a*x^2 - b) + sqrt(b))/b^(1/4)","A",0
1824,0,0,0,0.000000," ","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=""maxima"")","\int \frac{k^{\frac{3}{2}} x^{3} + 1}{{\left(k^{\frac{3}{2}} x^{3} - 1\right)} \sqrt{{\left(k^{2} x^{2} - 1\right)} {\left(x^{2} - 1\right)}}}\,{d x}"," ",0,"integrate((k^(3/2)*x^3 + 1)/((k^(3/2)*x^3 - 1)*sqrt((k^2*x^2 - 1)*(x^2 - 1))), x)","F",0
1825,0,0,0,0.000000," ","integrate((2*c*x-d)*(a*x^4+b*x^3)^(1/4)/x,x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} {\left(2 \, c x - d\right)}}{x}\,{d x}"," ",0,"integrate((a*x^4 + b*x^3)^(1/4)*(2*c*x - d)/x, x)","F",0
1826,0,0,0,0.000000," ","integrate((x^6-1)/(x^6+1)/(a^3*x^3+x^6+1)^(1/3),x, algorithm=""maxima"")","\int \frac{x^{6} - 1}{{\left(a^{3} x^{3} + x^{6} + 1\right)}^{\frac{1}{3}} {\left(x^{6} + 1\right)}}\,{d x}"," ",0,"integrate((x^6 - 1)/((a^3*x^3 + x^6 + 1)^(1/3)*(x^6 + 1)), x)","F",0
1827,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(-x^{7} - x^{4} + 2 \, x^{3} + x\right)}^{\frac{1}{3}} {\left(4 \, x^{6} + x^{3} + 2\right)}}{{\left(x^{6} + x^{3} - x^{2} - 1\right)} {\left(x^{6} + x^{3} - 2 \, x^{2} - 1\right)}}\,{d x}"," ",0,"integrate((-x^7 - x^4 + 2*x^3 + x)^(1/3)*(4*x^6 + x^3 + 2)/((x^6 + x^3 - x^2 - 1)*(x^6 + x^3 - 2*x^2 - 1)), x)","F",0
1828,0,0,0,0.000000," ","integrate(x^2/(a*x^2+(a^2*x^4+b)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{\sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}\,{d x}"," ",0,"integrate(x^2/sqrt(a*x^2 + sqrt(a^2*x^4 + b)), x)","F",0
1829,0,0,0,0.000000," ","integrate((1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(x^2+1)^(3/2),x, algorithm=""maxima"")","\int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{{\left(x^{2} + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/(x^2 + 1)^(3/2), x)","F",0
1830,0,0,0,0.000000," ","integrate((1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(x^2+1)^(3/2),x, algorithm=""maxima"")","\int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{{\left(x^{2} + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/(x^2 + 1)^(3/2), x)","F",0
1831,0,0,0,0.000000," ","integrate((1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(x^2+1)^(3/2),x, algorithm=""maxima"")","\int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{{\left(x^{2} + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/(x^2 + 1)^(3/2), x)","F",0
1832,0,0,0,0.000000," ","integrate(1/(-1+x)/(x^2-2*x-3)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{2} - 2 \, x - 3\right)}^{\frac{1}{3}} {\left(x - 1\right)}}\,{d x}"," ",0,"integrate(1/((x^2 - 2*x - 3)^(1/3)*(x - 1)), x)","F",0
1833,0,0,0,0.000000," ","integrate(1/(-1+x)/(x^2-2*x-1)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{2} - 2 \, x - 1\right)}^{\frac{1}{3}} {\left(x - 1\right)}}\,{d x}"," ",0,"integrate(1/((x^2 - 2*x - 1)^(1/3)*(x - 1)), x)","F",0
1834,0,0,0,0.000000," ","integrate(1/(1+x)/(x^2+2*x-1)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{2} + 2 \, x - 1\right)}^{\frac{1}{3}} {\left(x + 1\right)}}\,{d x}"," ",0,"integrate(1/((x^2 + 2*x - 1)^(1/3)*(x + 1)), x)","F",0
1835,0,0,0,0.000000," ","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=""maxima"")","\int \frac{2 \, a b x^{2} - {\left(a + b\right)} x^{3}}{\left({\left(a - x\right)} {\left(b - x\right)} x^{2}\right)^{\frac{1}{4}} {\left(a b d - {\left(a + b\right)} d x + {\left(d - 1\right)} x^{2}\right)} {\left(a - x\right)} {\left(b - x\right)}}\,{d x}"," ",0,"integrate((2*a*b*x^2 - (a + b)*x^3)/(((a - x)*(b - x)*x^2)^(1/4)*(a*b*d - (a + b)*d*x + (d - 1)*x^2)*(a - x)*(b - x)), x)","F",0
1836,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a b^{2} - 2 \, {\left(2 \, a - b\right)} b x + {\left(3 \, a - 2 \, b\right)} x^{2}\right)} {\left(a^{2} - 2 \, a x + x^{2}\right)}}{{\left(a^{3} d - {\left(d - 1\right)} x^{3} + {\left(3 \, a d - 2 \, b\right)} x^{2} - {\left(3 \, a^{2} d - b^{2}\right)} x\right)} \left(-{\left(a - x\right)} {\left(b - x\right)}^{2} x\right)^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((a*b^2 - 2*(2*a - b)*b*x + (3*a - 2*b)*x^2)*(a^2 - 2*a*x + x^2)/((a^3*d - (d - 1)*x^3 + (3*a*d - 2*b)*x^2 - (3*a^2*d - b^2)*x)*(-(a - x)*(b - x)^2*x)^(3/4)), x)","F",0
1837,0,0,0,0.000000," ","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=""maxima"")","\int \frac{k^{\frac{3}{2}} x^{3} - 1}{{\left(k^{\frac{3}{2}} x^{3} + 1\right)} \sqrt{{\left(k^{2} x^{2} - 1\right)} {\left(x^{2} - 1\right)}}}\,{d x}"," ",0,"integrate((k^(3/2)*x^3 - 1)/((k^(3/2)*x^3 + 1)*sqrt((k^2*x^2 - 1)*(x^2 - 1))), x)","F",0
1838,0,0,0,0.000000," ","integrate((x^3-x^2-x)^(1/2)/(x^4-1),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{3} - x^{2} - x}}{x^{4} - 1}\,{d x}"," ",0,"integrate(sqrt(x^3 - x^2 - x)/(x^4 - 1), x)","F",0
1839,0,0,0,0.000000," ","integrate((a*x^3+b)*(x^4+x)^(1/2)/(c*x^3-d),x, algorithm=""maxima"")","\int \frac{{\left(a x^{3} + b\right)} \sqrt{x^{4} + x}}{c x^{3} - d}\,{d x}"," ",0,"integrate((a*x^3 + b)*sqrt(x^4 + x)/(c*x^3 - d), x)","F",0
1840,1,155,0,0.431213," ","integrate((2*x^4-2*x+1)/x/(x^4-1)^(1/4),x, algorithm=""maxima"")","\frac{1}{4} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}}\right)}\right) + \frac{1}{4} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, {\left(x^{4} - 1\right)}^{\frac{1}{4}}\right)}\right) - \frac{1}{8} \, \sqrt{2} \log\left(\sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} + \sqrt{x^{4} - 1} + 1\right) + \frac{1}{8} \, \sqrt{2} \log\left(-\sqrt{2} {\left(x^{4} - 1\right)}^{\frac{1}{4}} + \sqrt{x^{4} - 1} + 1\right) + \frac{2}{3} \, {\left(x^{4} - 1\right)}^{\frac{3}{4}} + \arctan\left(\frac{{\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x}\right) - \frac{1}{2} \, \log\left(\frac{{\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x} + 1\right) + \frac{1}{2} \, \log\left(\frac{{\left(x^{4} - 1\right)}^{\frac{1}{4}}}{x} - 1\right)"," ",0,"1/4*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*(x^4 - 1)^(1/4))) + 1/4*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*(x^4 - 1)^(1/4))) - 1/8*sqrt(2)*log(sqrt(2)*(x^4 - 1)^(1/4) + sqrt(x^4 - 1) + 1) + 1/8*sqrt(2)*log(-sqrt(2)*(x^4 - 1)^(1/4) + sqrt(x^4 - 1) + 1) + 2/3*(x^4 - 1)^(3/4) + arctan((x^4 - 1)^(1/4)/x) - 1/2*log((x^4 - 1)^(1/4)/x + 1) + 1/2*log((x^4 - 1)^(1/4)/x - 1)","A",0
1841,0,0,0,0.000000," ","integrate(x^2*(a*x^5-4*b)/(a*x^5+b)^(3/4)/(a*x^5+c*x^4+b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{5} - 4 \, b\right)} x^{2}}{{\left(a x^{5} + c x^{4} + b\right)} {\left(a x^{5} + b\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((a*x^5 - 4*b)*x^2/((a*x^5 + c*x^4 + b)*(a*x^5 + b)^(3/4)), x)","F",0
1842,0,0,0,0.000000," ","integrate(1/(x^6+2*x^5-x^4-4*x^3-x^2+2*x+1)^(1/6),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{6} + 2 \, x^{5} - x^{4} - 4 \, x^{3} - x^{2} + 2 \, x + 1\right)}^{\frac{1}{6}}}\,{d x}"," ",0,"integrate((x^6 + 2*x^5 - x^4 - 4*x^3 - x^2 + 2*x + 1)^(-1/6), x)","F",0
1843,0,0,0,0.000000," ","integrate(x^2*(a*x^6-2*b)/(a*x^6+b)^(3/4)/(a*x^6+c*x^4+b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{6} - 2 \, b\right)} x^{2}}{{\left(a x^{6} + c x^{4} + b\right)} {\left(a x^{6} + b\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((a*x^6 - 2*b)*x^2/((a*x^6 + c*x^4 + b)*(a*x^6 + b)^(3/4)), x)","F",0
1844,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{8} + x^{6} + 2 \, x^{3} + 1\right)} {\left(x^{3} + 4\right)}}{{\left(x^{8} - x^{6} - 2 \, x^{3} - 1\right)} {\left(x^{3} + 1\right)}^{\frac{1}{4}} x^{4}}\,{d x}"," ",0,"integrate((x^8 + x^6 + 2*x^3 + 1)*(x^3 + 4)/((x^8 - x^6 - 2*x^3 - 1)*(x^3 + 1)^(1/4)*x^4), x)","F",0
1845,0,0,0,0.000000," ","integrate((2*x^8-x^4+2)/(x^4+1)^(1/4)/(x^8+x^4-2),x, algorithm=""maxima"")","\int \frac{2 \, x^{8} - x^{4} + 2}{{\left(x^{8} + x^{4} - 2\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((2*x^8 - x^4 + 2)/((x^8 + x^4 - 2)*(x^4 + 1)^(1/4)), x)","F",0
1846,0,0,0,0.000000," ","integrate((b+(a*x^2+b^2)^(1/2))^(1/2)/(a*x^2+b^2)^2,x, algorithm=""maxima"")","\int \frac{\sqrt{b + \sqrt{a x^{2} + b^{2}}}}{{\left(a x^{2} + b^{2}\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(b + sqrt(a*x^2 + b^2))/(a*x^2 + b^2)^2, x)","F",0
1847,0,0,0,0.000000," ","integrate((a*x^3+b)*(x^4-x)^(1/2)/(c*x^3-d),x, algorithm=""maxima"")","\int \frac{{\left(a x^{3} + b\right)} \sqrt{x^{4} - x}}{c x^{3} - d}\,{d x}"," ",0,"integrate((a*x^3 + b)*sqrt(x^4 - x)/(c*x^3 - d), x)","F",0
1848,0,0,0,0.000000," ","integrate((a*x^3+b)/x^3/(a*x^3-b)/(a*x^4+b*x)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{3} + b}{{\left(a x^{4} + b x\right)}^{\frac{1}{4}} {\left(a x^{3} - b\right)} x^{3}}\,{d x}"," ",0,"integrate((a*x^3 + b)/((a*x^4 + b*x)^(1/4)*(a*x^3 - b)*x^3), x)","F",0
1849,0,0,0,0.000000," ","integrate((2*x^6+1)*(-x^7+x^3+x)^(1/3)/(x^6-1)^2,x, algorithm=""maxima"")","\int \frac{{\left(-x^{7} + x^{3} + x\right)}^{\frac{1}{3}} {\left(2 \, x^{6} + 1\right)}}{{\left(x^{6} - 1\right)}^{2}}\,{d x}"," ",0,"integrate((-x^7 + x^3 + x)^(1/3)*(2*x^6 + 1)/(x^6 - 1)^2, x)","F",0
1850,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(2 \, a - b\right)} b^{2} - {\left(4 \, a - b\right)} b x + {\left(2 \, a + b\right)} x^{2} - x^{3}}{\left(-{\left(a - x\right)} {\left(b - x\right)}^{2}\right)^{\frac{3}{4}} {\left(b^{2} d + d x^{2} - {\left(2 \, b d + 1\right)} x + a\right)}}\,{d x}"," ",0,"-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)*(b^2*d + d*x^2 - (2*b*d + 1)*x + a)), x)","F",0
1851,0,0,0,0.000000," ","integrate((x^4+2)/(x^4+x^2)^(1/4)/(2*x^8-x^4-1),x, algorithm=""maxima"")","\frac{2 \, {\left(64 \, x^{9} + 16 \, x^{7} + 11 \, {\left(4 \, x^{5} + x^{3} - 3 \, x\right)} x^{4} - 28 \, x^{5} - 2 \, x^{3} - 22 \, x\right)}}{231 \, {\left(2 \, x^{\frac{17}{2}} - x^{\frac{9}{2}} - \sqrt{x}\right)} {\left(x^{2} + 1\right)}^{\frac{1}{4}}} + \int \frac{4 \, {\left(256 \, x^{8} + 64 \, x^{6} + {\left(128 \, x^{8} + 32 \, x^{6} + 164 \, x^{4} + 51 \, x^{2} - 209\right)} x^{4} - 68 \, x^{4} + 3 \, x^{2} - 121\right)}}{231 \, {\left(4 \, x^{\frac{33}{2}} - 4 \, x^{\frac{25}{2}} - 3 \, x^{\frac{17}{2}} + 2 \, x^{\frac{9}{2}} + \sqrt{x}\right)} {\left(x^{2} + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"2/231*(64*x^9 + 16*x^7 + 11*(4*x^5 + x^3 - 3*x)*x^4 - 28*x^5 - 2*x^3 - 22*x)/((2*x^(17/2) - x^(9/2) - sqrt(x))*(x^2 + 1)^(1/4)) + integrate(4/231*(256*x^8 + 64*x^6 + (128*x^8 + 32*x^6 + 164*x^4 + 51*x^2 - 209)*x^4 - 68*x^4 + 3*x^2 - 121)/((4*x^(33/2) - 4*x^(25/2) - 3*x^(17/2) + 2*x^(9/2) + sqrt(x))*(x^2 + 1)^(1/4)), x)","F",0
1852,0,0,0,0.000000," ","integrate((x^4+2)/(x^4+x^2)^(1/4)/(2*x^8-x^4-1),x, algorithm=""maxima"")","\frac{2 \, {\left(64 \, x^{9} + 16 \, x^{7} + 11 \, {\left(4 \, x^{5} + x^{3} - 3 \, x\right)} x^{4} - 28 \, x^{5} - 2 \, x^{3} - 22 \, x\right)}}{231 \, {\left(2 \, x^{\frac{17}{2}} - x^{\frac{9}{2}} - \sqrt{x}\right)} {\left(x^{2} + 1\right)}^{\frac{1}{4}}} + \int \frac{4 \, {\left(256 \, x^{8} + 64 \, x^{6} + {\left(128 \, x^{8} + 32 \, x^{6} + 164 \, x^{4} + 51 \, x^{2} - 209\right)} x^{4} - 68 \, x^{4} + 3 \, x^{2} - 121\right)}}{231 \, {\left(4 \, x^{\frac{33}{2}} - 4 \, x^{\frac{25}{2}} - 3 \, x^{\frac{17}{2}} + 2 \, x^{\frac{9}{2}} + \sqrt{x}\right)} {\left(x^{2} + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"2/231*(64*x^9 + 16*x^7 + 11*(4*x^5 + x^3 - 3*x)*x^4 - 28*x^5 - 2*x^3 - 22*x)/((2*x^(17/2) - x^(9/2) - sqrt(x))*(x^2 + 1)^(1/4)) + integrate(4/231*(256*x^8 + 64*x^6 + (128*x^8 + 32*x^6 + 164*x^4 + 51*x^2 - 209)*x^4 - 68*x^4 + 3*x^2 - 121)/((4*x^(33/2) - 4*x^(25/2) - 3*x^(17/2) + 2*x^(9/2) + sqrt(x))*(x^2 + 1)^(1/4)), x)","F",0
1853,0,0,0,0.000000," ","integrate((x+(1+x)^(1/2))^(1/2)/x^2,x, algorithm=""maxima"")","\int \frac{\sqrt{x + \sqrt{x + 1}}}{x^{2}}\,{d x}"," ",0,"integrate(sqrt(x + sqrt(x + 1))/x^2, x)","F",0
1854,0,0,0,0.000000," ","integrate((-1+x)*(x+(x^2+1)^(1/2))^(1/2)/(1+x),x, algorithm=""maxima"")","\int \frac{\sqrt{x + \sqrt{x^{2} + 1}} {\left(x - 1\right)}}{x + 1}\,{d x}"," ",0,"integrate(sqrt(x + sqrt(x^2 + 1))*(x - 1)/(x + 1), x)","F",0
1855,0,0,0,0.000000," ","integrate((1+x)*(x+(x^2+1)^(1/2))^(1/2)/(-1+x),x, algorithm=""maxima"")","\int \frac{\sqrt{x + \sqrt{x^{2} + 1}} {\left(x + 1\right)}}{x - 1}\,{d x}"," ",0,"integrate(sqrt(x + sqrt(x^2 + 1))*(x + 1)/(x - 1), x)","F",0
1856,0,0,0,0.000000," ","integrate((x^2+2*x+6)/(1+x)/(x^2+x+2)^(1/3)/(2*x^2-x+2),x, algorithm=""maxima"")","\int \frac{x^{2} + 2 \, x + 6}{{\left(2 \, x^{2} - x + 2\right)} {\left(x^{2} + x + 2\right)}^{\frac{1}{3}} {\left(x + 1\right)}}\,{d x}"," ",0,"integrate((x^2 + 2*x + 6)/((2*x^2 - x + 2)*(x^2 + x + 2)^(1/3)*(x + 1)), x)","F",0
1857,1,162,0,0.432184," ","integrate(1/x/(a*x^3-b)^(3/4),x, algorithm=""maxima"")","\frac{\sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} + 2 \, {\left(a x^{3} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{3 \, b^{\frac{3}{4}}} + \frac{\sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} - 2 \, {\left(a x^{3} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{3 \, b^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(\sqrt{2} {\left(a x^{3} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{3} - b} + \sqrt{b}\right)}{6 \, b^{\frac{3}{4}}} - \frac{\sqrt{2} \log\left(-\sqrt{2} {\left(a x^{3} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{3} - b} + \sqrt{b}\right)}{6 \, b^{\frac{3}{4}}}"," ",0,"1/3*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4) + 2*(a*x^3 - b)^(1/4))/b^(1/4))/b^(3/4) + 1/3*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4) - 2*(a*x^3 - b)^(1/4))/b^(1/4))/b^(3/4) + 1/6*sqrt(2)*log(sqrt(2)*(a*x^3 - b)^(1/4)*b^(1/4) + sqrt(a*x^3 - b) + sqrt(b))/b^(3/4) - 1/6*sqrt(2)*log(-sqrt(2)*(a*x^3 - b)^(1/4)*b^(1/4) + sqrt(a*x^3 - b) + sqrt(b))/b^(3/4)","A",0
1858,1,162,0,0.436592," ","integrate(1/x/(a*x^3-b)^(1/4),x, algorithm=""maxima"")","\frac{\sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} + 2 \, {\left(a x^{3} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{3 \, b^{\frac{1}{4}}} + \frac{\sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} - 2 \, {\left(a x^{3} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{3 \, b^{\frac{1}{4}}} - \frac{\sqrt{2} \log\left(\sqrt{2} {\left(a x^{3} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{3} - b} + \sqrt{b}\right)}{6 \, b^{\frac{1}{4}}} + \frac{\sqrt{2} \log\left(-\sqrt{2} {\left(a x^{3} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{3} - b} + \sqrt{b}\right)}{6 \, b^{\frac{1}{4}}}"," ",0,"1/3*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4) + 2*(a*x^3 - b)^(1/4))/b^(1/4))/b^(1/4) + 1/3*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4) - 2*(a*x^3 - b)^(1/4))/b^(1/4))/b^(1/4) - 1/6*sqrt(2)*log(sqrt(2)*(a*x^3 - b)^(1/4)*b^(1/4) + sqrt(a*x^3 - b) + sqrt(b))/b^(1/4) + 1/6*sqrt(2)*log(-sqrt(2)*(a*x^3 - b)^(1/4)*b^(1/4) + sqrt(a*x^3 - b) + sqrt(b))/b^(1/4)","A",0
1859,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(a x^{2} - x^{3} - b\right)} {\left(a x^{2} - 3 \, b\right)}}{{\left(a x^{3} - b x\right)}^{\frac{1}{4}} {\left(a x^{2} + x^{3} - b\right)} x^{3}}\,{d x}"," ",0,"-integrate((a*x^2 - x^3 - b)*(a*x^2 - 3*b)/((a*x^3 - b*x)^(1/4)*(a*x^2 + x^3 - b)*x^3), x)","F",0
1860,1,162,0,0.437090," ","integrate(1/x/(a*x^4-b)^(3/4),x, algorithm=""maxima"")","\frac{\sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} + 2 \, {\left(a x^{4} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{4 \, b^{\frac{3}{4}}} + \frac{\sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} - 2 \, {\left(a x^{4} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{4 \, b^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(\sqrt{2} {\left(a x^{4} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{4} - b} + \sqrt{b}\right)}{8 \, b^{\frac{3}{4}}} - \frac{\sqrt{2} \log\left(-\sqrt{2} {\left(a x^{4} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{4} - b} + \sqrt{b}\right)}{8 \, b^{\frac{3}{4}}}"," ",0,"1/4*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4) + 2*(a*x^4 - b)^(1/4))/b^(1/4))/b^(3/4) + 1/4*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4) - 2*(a*x^4 - b)^(1/4))/b^(1/4))/b^(3/4) + 1/8*sqrt(2)*log(sqrt(2)*(a*x^4 - b)^(1/4)*b^(1/4) + sqrt(a*x^4 - b) + sqrt(b))/b^(3/4) - 1/8*sqrt(2)*log(-sqrt(2)*(a*x^4 - b)^(1/4)*b^(1/4) + sqrt(a*x^4 - b) + sqrt(b))/b^(3/4)","A",0
1861,1,162,0,0.429054," ","integrate(1/x/(a*x^4-b)^(1/4),x, algorithm=""maxima"")","\frac{\sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} + 2 \, {\left(a x^{4} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{4 \, b^{\frac{1}{4}}} + \frac{\sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} - 2 \, {\left(a x^{4} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{4 \, b^{\frac{1}{4}}} - \frac{\sqrt{2} \log\left(\sqrt{2} {\left(a x^{4} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{4} - b} + \sqrt{b}\right)}{8 \, b^{\frac{1}{4}}} + \frac{\sqrt{2} \log\left(-\sqrt{2} {\left(a x^{4} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{4} - b} + \sqrt{b}\right)}{8 \, b^{\frac{1}{4}}}"," ",0,"1/4*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4) + 2*(a*x^4 - b)^(1/4))/b^(1/4))/b^(1/4) + 1/4*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4) - 2*(a*x^4 - b)^(1/4))/b^(1/4))/b^(1/4) - 1/8*sqrt(2)*log(sqrt(2)*(a*x^4 - b)^(1/4)*b^(1/4) + sqrt(a*x^4 - b) + sqrt(b))/b^(1/4) + 1/8*sqrt(2)*log(-sqrt(2)*(a*x^4 - b)^(1/4)*b^(1/4) + sqrt(a*x^4 - b) + sqrt(b))/b^(1/4)","A",0
1862,-2,0,0,0.000000," ","integrate((-x^5+1)/(b*x+a)^(1/2)/(x^5+1),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a-4*b>0)', see `assume?` for more details)Is 4*a-4*b positive or negative?","F(-2)",0
1863,1,162,0,0.409771," ","integrate(1/x/(a*x^5-b)^(3/4),x, algorithm=""maxima"")","\frac{\sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} + 2 \, {\left(a x^{5} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{5 \, b^{\frac{3}{4}}} + \frac{\sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} - 2 \, {\left(a x^{5} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{5 \, b^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(\sqrt{2} {\left(a x^{5} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{5} - b} + \sqrt{b}\right)}{10 \, b^{\frac{3}{4}}} - \frac{\sqrt{2} \log\left(-\sqrt{2} {\left(a x^{5} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{5} - b} + \sqrt{b}\right)}{10 \, b^{\frac{3}{4}}}"," ",0,"1/5*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4) + 2*(a*x^5 - b)^(1/4))/b^(1/4))/b^(3/4) + 1/5*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4) - 2*(a*x^5 - b)^(1/4))/b^(1/4))/b^(3/4) + 1/10*sqrt(2)*log(sqrt(2)*(a*x^5 - b)^(1/4)*b^(1/4) + sqrt(a*x^5 - b) + sqrt(b))/b^(3/4) - 1/10*sqrt(2)*log(-sqrt(2)*(a*x^5 - b)^(1/4)*b^(1/4) + sqrt(a*x^5 - b) + sqrt(b))/b^(3/4)","A",0
1864,1,162,0,0.408096," ","integrate(1/x/(a*x^6-b)^(3/4),x, algorithm=""maxima"")","\frac{\sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} + 2 \, {\left(a x^{6} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{6 \, b^{\frac{3}{4}}} + \frac{\sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} - 2 \, {\left(a x^{6} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{6 \, b^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(\sqrt{2} {\left(a x^{6} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{6} - b} + \sqrt{b}\right)}{12 \, b^{\frac{3}{4}}} - \frac{\sqrt{2} \log\left(-\sqrt{2} {\left(a x^{6} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{6} - b} + \sqrt{b}\right)}{12 \, b^{\frac{3}{4}}}"," ",0,"1/6*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4) + 2*(a*x^6 - b)^(1/4))/b^(1/4))/b^(3/4) + 1/6*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4) - 2*(a*x^6 - b)^(1/4))/b^(1/4))/b^(3/4) + 1/12*sqrt(2)*log(sqrt(2)*(a*x^6 - b)^(1/4)*b^(1/4) + sqrt(a*x^6 - b) + sqrt(b))/b^(3/4) - 1/12*sqrt(2)*log(-sqrt(2)*(a*x^6 - b)^(1/4)*b^(1/4) + sqrt(a*x^6 - b) + sqrt(b))/b^(3/4)","A",0
1865,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{4} + x^{2} - 1\right)}^{\frac{3}{2}} {\left(x^{4} + 1\right)}}{{\left(x^{8} - x^{6} - x^{4} + x^{2} + 1\right)} {\left(x^{4} - 1\right)}}\,{d x}"," ",0,"integrate((x^4 + x^2 - 1)^(3/2)*(x^4 + 1)/((x^8 - x^6 - x^4 + x^2 + 1)*(x^4 - 1)), x)","F",0
1866,0,0,0,0.000000," ","integrate((x^6-1)*(x^6+x^3+1)^(2/3)/(x^12+x^6+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} + x^{3} + 1\right)}^{\frac{2}{3}} {\left(x^{6} - 1\right)}}{x^{12} + x^{6} + 1}\,{d x}"," ",0,"integrate((x^6 + x^3 + 1)^(2/3)*(x^6 - 1)/(x^12 + x^6 + 1), x)","F",0
1867,0,0,0,0.000000," ","integrate((x^3-1)^3*(x^3+1)*(2*x^12+3*x^6+2)^(1/2)/x^7/(x^6+1),x, algorithm=""maxima"")","\int \frac{\sqrt{2 \, x^{12} + 3 \, x^{6} + 2} {\left(x^{3} + 1\right)} {\left(x^{3} - 1\right)}^{3}}{{\left(x^{6} + 1\right)} x^{7}}\,{d x}"," ",0,"integrate(sqrt(2*x^12 + 3*x^6 + 2)*(x^3 + 1)*(x^3 - 1)^3/((x^6 + 1)*x^7), x)","F",0
1868,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{a x - \sqrt{a^{2} x^{2} + b}}}{a^{2} x^{2} + \sqrt{a^{2} x^{2} + b}}\,{d x}"," ",0,"integrate(sqrt(a*x - sqrt(a^2*x^2 + b))/(a^2*x^2 + sqrt(a^2*x^2 + b)), x)","F",0
1869,0,0,0,0.000000," ","integrate((c*x+d)/(a*x+(a^2*x^2+b^2)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{c x + d}{\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}}\,{d x}"," ",0,"integrate((c*x + d)/sqrt(a*x + sqrt(a^2*x^2 + b^2)), x)","F",0
1870,1,46,0,0.321661," ","integrate(1/(1+(1+(1+x)^(1/2))^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{8}{7} \, {\left(\sqrt{\sqrt{x + 1} + 1} + 1\right)}^{\frac{7}{2}} - \frac{24}{5} \, {\left(\sqrt{\sqrt{x + 1} + 1} + 1\right)}^{\frac{5}{2}} + \frac{16}{3} \, {\left(\sqrt{\sqrt{x + 1} + 1} + 1\right)}^{\frac{3}{2}}"," ",0,"8/7*(sqrt(sqrt(x + 1) + 1) + 1)^(7/2) - 24/5*(sqrt(sqrt(x + 1) + 1) + 1)^(5/2) + 16/3*(sqrt(sqrt(x + 1) + 1) + 1)^(3/2)","C",0
1871,0,0,0,0.000000," ","integrate((a*x^2-b)*(x^3+x)^(1/3)/x^2,x, algorithm=""maxima"")","\int \frac{{\left(a x^{2} - b\right)} {\left(x^{3} + x\right)}^{\frac{1}{3}}}{x^{2}}\,{d x}"," ",0,"integrate((a*x^2 - b)*(x^3 + x)^(1/3)/x^2, x)","F",0
1872,0,0,0,0.000000," ","integrate(1/x^3/(a*x^3-b*x^2)^(1/3)/(c*x^3+d),x, algorithm=""maxima"")","\int \frac{1}{{\left(a x^{3} - b x^{2}\right)}^{\frac{1}{3}} {\left(c x^{3} + d\right)} x^{3}}\,{d x}"," ",0,"integrate(1/((a*x^3 - b*x^2)^(1/3)*(c*x^3 + d)*x^3), x)","F",0
1873,0,0,0,0.000000," ","integrate((x^4-1)/(x^3-x^2-x)^(1/2)/(x^4+1),x, algorithm=""maxima"")","\int \frac{x^{4} - 1}{{\left(x^{4} + 1\right)} \sqrt{x^{3} - x^{2} - x}}\,{d x}"," ",0,"integrate((x^4 - 1)/((x^4 + 1)*sqrt(x^3 - x^2 - x)), x)","F",0
1874,0,0,0,0.000000," ","integrate((x^6+9*x^5+16*x^4-27*x^3-36*x^2-11*x-1)^(1/2),x, algorithm=""maxima"")","\int \sqrt{x^{6} + 9 \, x^{5} + 16 \, x^{4} - 27 \, x^{3} - 36 \, x^{2} - 11 \, x - 1}\,{d x}"," ",0,"integrate(sqrt(x^6 + 9*x^5 + 16*x^4 - 27*x^3 - 36*x^2 - 11*x - 1), x)","F",0
1875,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{p^{2} x^{6} + 2 \, p q x^{3} - 2 \, p q x^{2} + q^{2}} {\left(a p x^{3} + a q + b x\right)} {\left(2 \, p x^{3} - q\right)}}{x^{4}}\,{d x}"," ",0,"integrate(sqrt(p^2*x^6 + 2*p*q*x^3 - 2*p*q*x^2 + q^2)*(a*p*x^3 + a*q + b*x)*(2*p*x^3 - q)/x^4, x)","F",0
1876,0,0,0,0.000000," ","integrate((2*x^8-x^4-2)/(x^4-1)^(1/4)/(x^8-x^4-2),x, algorithm=""maxima"")","\int \frac{2 \, x^{8} - x^{4} - 2}{{\left(x^{8} - x^{4} - 2\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((2*x^8 - x^4 - 2)/((x^8 - x^4 - 2)*(x^4 - 1)^(1/4)), x)","F",0
1877,0,0,0,0.000000," ","integrate((x^4-1)*(1+(1+x)^(1/2))^(1/2)/(x^4+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - 1\right)} \sqrt{\sqrt{x + 1} + 1}}{x^{4} + 1}\,{d x}"," ",0,"integrate((x^4 - 1)*sqrt(sqrt(x + 1) + 1)/(x^4 + 1), x)","F",0
1878,0,0,0,0.000000," ","integrate((x^4-1)*(1+(1+x)^(1/2))^(1/2)/(x^4+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - 1\right)} \sqrt{\sqrt{x + 1} + 1}}{x^{4} + 1}\,{d x}"," ",0,"integrate((x^4 - 1)*sqrt(sqrt(x + 1) + 1)/(x^4 + 1), x)","F",0
1879,0,0,0,0.000000," ","integrate((a*x^2+b)*(a*x^3+b*x)^(1/2)/x^2/(a*x^2-b),x, algorithm=""maxima"")","\int \frac{\sqrt{a x^{3} + b x} {\left(a x^{2} + b\right)}}{{\left(a x^{2} - b\right)} x^{2}}\,{d x}"," ",0,"integrate(sqrt(a*x^3 + b*x)*(a*x^2 + b)/((a*x^2 - b)*x^2), x)","F",0
1880,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(a^{3} - 3 \, a^{2} x + 3 \, a x^{2} - x^{3}\right)} {\left(2 \, a b - {\left(3 \, a - b\right)} x\right)}}{\left({\left(a - x\right)} {\left(b - x\right)} x^{2}\right)^{\frac{1}{4}} {\left({\left(d - 1\right)} x^{3} + a^{3} - 3 \, a^{2} x - {\left(b d - 3 \, a\right)} x^{2}\right)} {\left(b - x\right)} x}\,{d x}"," ",0,"-integrate((a^3 - 3*a^2*x + 3*a*x^2 - x^3)*(2*a*b - (3*a - b)*x)/(((a - x)*(b - x)*x^2)^(1/4)*((d - 1)*x^3 + a^3 - 3*a^2*x - (b*d - 3*a)*x^2)*(b - x)*x), x)","F",0
1881,0,0,0,0.000000," ","integrate((a*x^2+2*b)/(a*x^2+b)^(1/4)/(2*x^4+1881*a*x^2+1881*b),x, algorithm=""maxima"")","\int \frac{a x^{2} + 2 \, b}{{\left(2 \, x^{4} + 1881 \, a x^{2} + 1881 \, b\right)} {\left(a x^{2} + b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((a*x^2 + 2*b)/((2*x^4 + 1881*a*x^2 + 1881*b)*(a*x^2 + b)^(1/4)), x)","F",0
1882,0,0,0,0.000000," ","integrate((1+x)^(1/2)*(x^2-1)/(x^2+1)/(1+(1+x)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(x^{2} - 1\right)} \sqrt{x + 1}}{{\left(x^{2} + 1\right)} \sqrt{\sqrt{x + 1} + 1}}\,{d x}"," ",0,"integrate((x^2 - 1)*sqrt(x + 1)/((x^2 + 1)*sqrt(sqrt(x + 1) + 1)), x)","F",0
1883,0,0,0,0.000000," ","integrate((1+x)^(1/2)*(x^2-1)/(x^2+1)/(1+(1+x)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(x^{2} - 1\right)} \sqrt{x + 1}}{{\left(x^{2} + 1\right)} \sqrt{\sqrt{x + 1} + 1}}\,{d x}"," ",0,"integrate((x^2 - 1)*sqrt(x + 1)/((x^2 + 1)*sqrt(sqrt(x + 1) + 1)), x)","F",0
1884,0,0,0,0.000000," ","integrate((x^4-1)*(1+(1+x)^(1/2))^(1/2)/(1+x)^(1/2)/(x^4+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - 1\right)} \sqrt{\sqrt{x + 1} + 1}}{{\left(x^{4} + 1\right)} \sqrt{x + 1}}\,{d x}"," ",0,"integrate((x^4 - 1)*sqrt(sqrt(x + 1) + 1)/((x^4 + 1)*sqrt(x + 1)), x)","F",0
1885,0,0,0,0.000000," ","integrate((x^4-1)*(1+(1+x)^(1/2))^(1/2)/(1+x)^(1/2)/(x^4+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - 1\right)} \sqrt{\sqrt{x + 1} + 1}}{{\left(x^{4} + 1\right)} \sqrt{x + 1}}\,{d x}"," ",0,"integrate((x^4 - 1)*sqrt(sqrt(x + 1) + 1)/((x^4 + 1)*sqrt(x + 1)), x)","F",0
1886,0,0,0,0.000000," ","integrate((a*x^2+1)/(a*x^2-1)/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{a x^{2} + 1}{{\left(a x^{2} - 1\right)} \sqrt{x + \sqrt{x^{2} + 1}}}\,{d x}"," ",0,"integrate((a*x^2 + 1)/((a*x^2 - 1)*sqrt(x + sqrt(x^2 + 1))), x)","F",0
1887,0,0,0,0.000000," ","integrate(x*(x^2+x)^(1/2)/(x^2+x*(x^2+x)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{2} + x} x}{\sqrt{x^{2} + \sqrt{x^{2} + x} x}}\,{d x}"," ",0,"integrate(sqrt(x^2 + x)*x/sqrt(x^2 + sqrt(x^2 + x)*x), x)","F",0
1888,0,0,0,0.000000," ","integrate((1+x)^(1/2)/(1+(x+(1+x)^(1/2))^(1/2)),x, algorithm=""maxima"")","\int \frac{\sqrt{x + 1}}{\sqrt{x + \sqrt{x + 1}} + 1}\,{d x}"," ",0,"integrate(sqrt(x + 1)/(sqrt(x + sqrt(x + 1)) + 1), x)","F",0
1889,0,0,0,0.000000," ","integrate((1+x)/(-1+x)/(1+2*x)/(3*x^2-1)^(1/3),x, algorithm=""maxima"")","\int \frac{x + 1}{{\left(3 \, x^{2} - 1\right)}^{\frac{1}{3}} {\left(2 \, x + 1\right)} {\left(x - 1\right)}}\,{d x}"," ",0,"integrate((x + 1)/((3*x^2 - 1)^(1/3)*(2*x + 1)*(x - 1)), x)","F",0
1890,0,0,0,0.000000," ","integrate((a*x^2-b)/x^2/(x^3-x)^(1/3),x, algorithm=""maxima"")","\int \frac{a x^{2} - b}{{\left(x^{3} - x\right)}^{\frac{1}{3}} x^{2}}\,{d x}"," ",0,"integrate((a*x^2 - b)/((x^3 - x)^(1/3)*x^2), x)","F",0
1891,0,0,0,0.000000," ","integrate((x^4+1)/(x^3-x^2-x)^(1/2)/(x^4-1),x, algorithm=""maxima"")","\int \frac{x^{4} + 1}{{\left(x^{4} - 1\right)} \sqrt{x^{3} - x^{2} - x}}\,{d x}"," ",0,"integrate((x^4 + 1)/((x^4 - 1)*sqrt(x^3 - x^2 - x)), x)","F",0
1892,0,0,0,0.000000," ","integrate((x^3-1)*(x^6+1)^(1/3)/x^2/(x^3+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} + 1\right)}^{\frac{1}{3}} {\left(x^{3} - 1\right)}}{{\left(x^{3} + 1\right)} x^{2}}\,{d x}"," ",0,"integrate((x^6 + 1)^(1/3)*(x^3 - 1)/((x^3 + 1)*x^2), x)","F",0
1893,0,0,0,0.000000," ","integrate((x^6-2)*(x^6+2)^(1/3)/x^2/(x^6+2*x^3+2),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} + 2\right)}^{\frac{1}{3}} {\left(x^{6} - 2\right)}}{{\left(x^{6} + 2 \, x^{3} + 2\right)} x^{2}}\,{d x}"," ",0,"integrate((x^6 + 2)^(1/3)*(x^6 - 2)/((x^6 + 2*x^3 + 2)*x^2), x)","F",0
1894,0,0,0,0.000000," ","integrate((x^3+1)^(2/3)*(2*x^6-2*x^3-1)/x^6/(2*x^6+x^3-1),x, algorithm=""maxima"")","\int \frac{{\left(2 \, x^{6} - 2 \, x^{3} - 1\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{{\left(2 \, x^{6} + x^{3} - 1\right)} x^{6}}\,{d x}"," ",0,"integrate((2*x^6 - 2*x^3 - 1)*(x^3 + 1)^(2/3)/((2*x^6 + x^3 - 1)*x^6), x)","F",0
1895,0,0,0,0.000000," ","integrate((x^3+1)*(-x^4+x)^(1/2)/(3*x^6+4*x^3+2),x, algorithm=""maxima"")","\int \frac{\sqrt{-x^{4} + x} {\left(x^{3} + 1\right)}}{3 \, x^{6} + 4 \, x^{3} + 2}\,{d x}"," ",0,"integrate(sqrt(-x^4 + x)*(x^3 + 1)/(3*x^6 + 4*x^3 + 2), x)","F",0
1896,0,0,0,0.000000," ","integrate((a*x^4-2)/(a*x^4+b)^(1/4)/(2*x^8+a*x^4-b),x, algorithm=""maxima"")","\int \frac{a x^{4} - 2}{{\left(2 \, x^{8} + a x^{4} - b\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((a*x^4 - 2)/((2*x^8 + a*x^4 - b)*(a*x^4 + b)^(1/4)), x)","F",0
1897,0,0,0,0.000000," ","integrate((-1+x)/(1+x)/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{x - 1}{\sqrt{x + \sqrt{x^{2} + 1}} {\left(x + 1\right)}}\,{d x}"," ",0,"integrate((x - 1)/(sqrt(x + sqrt(x^2 + 1))*(x + 1)), x)","F",0
1898,0,0,0,0.000000," ","integrate((1+x)/(-1+x)/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{x + 1}{\sqrt{x + \sqrt{x^{2} + 1}} {\left(x - 1\right)}}\,{d x}"," ",0,"integrate((x + 1)/(sqrt(x + sqrt(x^2 + 1))*(x - 1)), x)","F",0
1899,0,0,0,0.000000," ","integrate((x^2-x)^(1/2)/(x^2-x*(x^2-x)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{2} - x}}{\sqrt{x^{2} - \sqrt{x^{2} - x} x}}\,{d x}"," ",0,"integrate(sqrt(x^2 - x)/sqrt(x^2 - sqrt(x^2 - x)*x), x)","F",0
1900,0,0,0,0.000000," ","integrate((x^2+2*x+6)/(2+x)/(x^2+2)/(x^2+x+2)^(1/3),x, algorithm=""maxima"")","\int \frac{x^{2} + 2 \, x + 6}{{\left(x^{2} + x + 2\right)}^{\frac{1}{3}} {\left(x^{2} + 2\right)} {\left(x + 2\right)}}\,{d x}"," ",0,"integrate((x^2 + 2*x + 6)/((x^2 + x + 2)^(1/3)*(x^2 + 2)*(x + 2)), x)","F",0
1901,0,0,0,0.000000," ","integrate((-1+x)/x/(x^3+2*x^2+2*x+1)^(1/3),x, algorithm=""maxima"")","\int \frac{x - 1}{{\left(x^{3} + 2 \, x^{2} + 2 \, x + 1\right)}^{\frac{1}{3}} x}\,{d x}"," ",0,"integrate((x - 1)/((x^3 + 2*x^2 + 2*x + 1)^(1/3)*x), x)","F",0
1902,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{p^{2} x^{6} - 2 \, p q x^{4} + 2 \, p q x^{3} + q^{2}} {\left(a p x^{3} + b x^{2} + a q\right)} {\left(p x^{3} - 2 \, q\right)}}{x^{7}}\,{d x}"," ",0,"integrate(sqrt(p^2*x^6 - 2*p*q*x^4 + 2*p*q*x^3 + q^2)*(a*p*x^3 + b*x^2 + a*q)*(p*x^3 - 2*q)/x^7, x)","F",0
1903,0,0,0,0.000000," ","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=""maxima"")","\int \frac{x^{2}}{{\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(x^{2} + 1\right)}}\,{d x}"," ",0,"integrate(x^2/((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^2 + 1)), x)","F",0
1904,0,0,0,0.000000," ","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=""maxima"")","\int \frac{1}{\sqrt{a^{2} x^{2} - b x} {\left(a x^{2} + \sqrt{a^{2} x^{2} - b x} x\right)}^{\frac{3}{2}} x}\,{d x}"," ",0,"integrate(1/(sqrt(a^2*x^2 - b*x)*(a*x^2 + sqrt(a^2*x^2 - b*x)*x)^(3/2)*x), x)","F",0
1905,0,0,0,0.000000," ","integrate((x^2+(x^4+1)^(1/2))^(1/2)/(x^2-1)/(x^4+1)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{2} + \sqrt{x^{4} + 1}}}{\sqrt{x^{4} + 1} {\left(x^{2} - 1\right)}}\,{d x}"," ",0,"integrate(sqrt(x^2 + sqrt(x^4 + 1))/(sqrt(x^4 + 1)*(x^2 - 1)), x)","F",0
1906,0,0,0,0.000000," ","integrate(1/(1+2*x)/(4*x^2+4*x-1)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(4 \, x^{2} + 4 \, x - 1\right)}^{\frac{1}{3}} {\left(2 \, x + 1\right)}}\,{d x}"," ",0,"integrate(1/((4*x^2 + 4*x - 1)^(1/3)*(2*x + 1)), x)","F",0
1907,0,0,0,0.000000," ","integrate(1/x^3/(a*x^3-b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a x^{3} - b\right)} x^{3}}\,{d x}"," ",0,"integrate(1/((a^3*x^3 + b^2*x^2)^(1/3)*(a*x^3 - b)*x^3), x)","F",0
1908,0,0,0,0.000000," ","integrate(1/x^3/(a*x^3-b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a x^{3} - b\right)} x^{3}}\,{d x}"," ",0,"integrate(1/((a^3*x^3 + b^2*x^2)^(1/3)*(a*x^3 - b)*x^3), x)","F",0
1909,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(2 \, a b - {\left(3 \, a - b\right)} x\right)} {\left(b - x\right)} x^{3}}{{\left(a^{3} d - 3 \, a^{2} d x - {\left(d - 1\right)} x^{3} + {\left(3 \, a d - b\right)} x^{2}\right)} \left({\left(a - x\right)} {\left(b - x\right)} x^{2}\right)^{\frac{3}{4}} {\left(a - x\right)}}\,{d x}"," ",0,"integrate((2*a*b - (3*a - b)*x)*(b - x)*x^3/((a^3*d - 3*a^2*d*x - (d - 1)*x^3 + (3*a*d - b)*x^2)*((a - x)*(b - x)*x^2)^(3/4)*(a - x)), x)","F",0
1910,0,0,0,0.000000," ","integrate(x^2/(x^3-x^2-x)^(1/2)/(x^4-1),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(x^{4} - 1\right)} \sqrt{x^{3} - x^{2} - x}}\,{d x}"," ",0,"integrate(x^2/((x^4 - 1)*sqrt(x^3 - x^2 - x)), x)","F",0
1911,0,0,0,0.000000," ","integrate((x^2-1)*(x^4+x^2+1)^(1/2)/(x^2+1)/(x^4+x^3+x^2+x+1),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{4} + x^{2} + 1} {\left(x^{2} - 1\right)}}{{\left(x^{4} + x^{3} + x^{2} + x + 1\right)} {\left(x^{2} + 1\right)}}\,{d x}"," ",0,"integrate(sqrt(x^4 + x^2 + 1)*(x^2 - 1)/((x^4 + x^3 + x^2 + x + 1)*(x^2 + 1)), x)","F",0
1912,0,0,0,0.000000," ","integrate(x^6/(a*x^4-b)/(a*x^4+b)^(3/4),x, algorithm=""maxima"")","\int \frac{x^{6}}{{\left(a x^{4} + b\right)}^{\frac{3}{4}} {\left(a x^{4} - b\right)}}\,{d x}"," ",0,"integrate(x^6/((a*x^4 + b)^(3/4)*(a*x^4 - b)), x)","F",0
1913,0,0,0,0.000000," ","integrate((a*x^3-b)/x^3/(a*x^3+b)/(a*x^4-b*x)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{3} - b}{{\left(a x^{4} - b x\right)}^{\frac{1}{4}} {\left(a x^{3} + b\right)} x^{3}}\,{d x}"," ",0,"integrate((a*x^3 - b)/((a*x^4 - b*x)^(1/4)*(a*x^3 + b)*x^3), x)","F",0
1914,0,0,0,0.000000," ","integrate((a*x^4-b)/(a*x^4+b)^(1/4)/(3*a*x^4-b),x, algorithm=""maxima"")","\int \frac{a x^{4} - b}{{\left(3 \, a x^{4} - b\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((a*x^4 - b)/((3*a*x^4 - b)*(a*x^4 + b)^(1/4)), x)","F",0
1915,0,0,0,0.000000," ","integrate((a*x^2-2*b)/(a*x^2-b)^(1/4)/(c*x^4+a*x^2-b),x, algorithm=""maxima"")","\int \frac{a x^{2} - 2 \, b}{{\left(c x^{4} + a x^{2} - b\right)} {\left(a x^{2} - b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((a*x^2 - 2*b)/((c*x^4 + a*x^2 - b)*(a*x^2 - b)^(1/4)), x)","F",0
1916,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{p^{2} x^{4} + q^{2}} {\left(p x^{2} - q\right)}}{{\left(a p x^{2} + a q + b x\right)} x^{2}}\,{d x}"," ",0,"integrate(sqrt(p^2*x^4 + q^2)*(p*x^2 - q)/((a*p*x^2 + a*q + b*x)*x^2), x)","F",0
1917,0,0,0,0.000000," ","integrate((x^5+1)^(1/3)*(2*x^5-3)/x^2/(2*x^5-x^3+2),x, algorithm=""maxima"")","\int \frac{{\left(2 \, x^{5} - 3\right)} {\left(x^{5} + 1\right)}^{\frac{1}{3}}}{{\left(2 \, x^{5} - x^{3} + 2\right)} x^{2}}\,{d x}"," ",0,"integrate((2*x^5 - 3)*(x^5 + 1)^(1/3)/((2*x^5 - x^3 + 2)*x^2), x)","F",0
1918,0,0,0,0.000000," ","integrate(x^2*(a*x^5+4*b)/(a*x^5-b)^(3/4)/(a*x^5+c*x^4-b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{5} + 4 \, b\right)} x^{2}}{{\left(a x^{5} + c x^{4} - b\right)} {\left(a x^{5} - b\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((a*x^5 + 4*b)*x^2/((a*x^5 + c*x^4 - b)*(a*x^5 - b)^(3/4)), x)","F",0
1919,0,0,0,0.000000," ","integrate((x^6-1)*(x^6+1)^(2/3)/x^3/(2*x^6-x^3+2),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} + 1\right)}^{\frac{2}{3}} {\left(x^{6} - 1\right)}}{{\left(2 \, x^{6} - x^{3} + 2\right)} x^{3}}\,{d x}"," ",0,"integrate((x^6 + 1)^(2/3)*(x^6 - 1)/((2*x^6 - x^3 + 2)*x^3), x)","F",0
1920,0,0,0,0.000000," ","integrate(x^2*(a*x^6+2*b)/(a*x^6-b)^(3/4)/(a*x^6+c*x^4-b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{6} + 2 \, b\right)} x^{2}}{{\left(a x^{6} + c x^{4} - b\right)} {\left(a x^{6} - b\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((a*x^6 + 2*b)*x^2/((a*x^6 + c*x^4 - b)*(a*x^6 - b)^(3/4)), x)","F",0
1921,0,0,0,0.000000," ","integrate(x^2*(x^4+1)^(1/2)*(x^2+(x^4+1)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{x^{4} + 1} \sqrt{x^{2} + \sqrt{x^{4} + 1}} x^{2}\,{d x}"," ",0,"integrate(sqrt(x^4 + 1)*sqrt(x^2 + sqrt(x^4 + 1))*x^2, x)","F",0
1922,1,46,0,0.310275," ","integrate((1+(1+(1+x)^(1/2))^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{8}{9} \, {\left(\sqrt{\sqrt{x + 1} + 1} + 1\right)}^{\frac{9}{2}} - \frac{24}{7} \, {\left(\sqrt{\sqrt{x + 1} + 1} + 1\right)}^{\frac{7}{2}} + \frac{16}{5} \, {\left(\sqrt{\sqrt{x + 1} + 1} + 1\right)}^{\frac{5}{2}}"," ",0,"8/9*(sqrt(sqrt(x + 1) + 1) + 1)^(9/2) - 24/7*(sqrt(sqrt(x + 1) + 1) + 1)^(7/2) + 16/5*(sqrt(sqrt(x + 1) + 1) + 1)^(5/2)","C",0
1923,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{{\left(x^{2} - 1\right)} \sqrt{x + \sqrt{x^{2} + 1}}}\,{d x}"," ",0,"-integrate(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/((x^2 - 1)*sqrt(x + sqrt(x^2 + 1))), x)","F",0
1924,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{{\left(x^{2} - 1\right)} \sqrt{x + \sqrt{x^{2} + 1}}}\,{d x}"," ",0,"-integrate(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/((x^2 - 1)*sqrt(x + sqrt(x^2 + 1))), x)","F",0
1925,0,0,0,0.000000," ","integrate((x^3-2)*(x^3+1)^(2/3)/x^6/(2*x^3-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} + 1\right)}^{\frac{2}{3}} {\left(x^{3} - 2\right)}}{{\left(2 \, x^{3} - 1\right)} x^{6}}\,{d x}"," ",0,"integrate((x^3 + 1)^(2/3)*(x^3 - 2)/((2*x^3 - 1)*x^6), x)","F",0
1926,0,0,0,0.000000," ","integrate(1/x^3/(a*x^3+b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a x^{3} + b\right)} x^{3}}\,{d x}"," ",0,"integrate(1/((a^3*x^3 + b^2*x^2)^(1/3)*(a*x^3 + b)*x^3), x)","F",0
1927,0,0,0,0.000000," ","integrate(1/x^3/(a*x^3+b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a x^{3} + b\right)} x^{3}}\,{d x}"," ",0,"integrate(1/((a^3*x^3 + b^2*x^2)^(1/3)*(a*x^3 + b)*x^3), x)","F",0
1928,0,0,0,0.000000," ","integrate((x^4+x-1)*(x^4-x^3)^(1/4)/(1+x),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(x^{4} + x - 1\right)}}{x + 1}\,{d x}"," ",0,"integrate((x^4 - x^3)^(1/4)*(x^4 + x - 1)/(x + 1), x)","F",0
1929,0,0,0,0.000000," ","integrate((x^4-3)*(x^4+1)^(2/3)/x^3/(2*x^4+x^3+2),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + 1\right)}^{\frac{2}{3}} {\left(x^{4} - 3\right)}}{{\left(2 \, x^{4} + x^{3} + 2\right)} x^{3}}\,{d x}"," ",0,"integrate((x^4 + 1)^(2/3)*(x^4 - 3)/((2*x^4 + x^3 + 2)*x^3), x)","F",0
1930,0,0,0,0.000000," ","integrate((a*x^4-4*b)*(a*x^4+b)^(3/4)/x^8/(a*x^4+4*b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} + b\right)}^{\frac{3}{4}} {\left(a x^{4} - 4 \, b\right)}}{{\left(a x^{4} + 4 \, b\right)} x^{8}}\,{d x}"," ",0,"integrate((a*x^4 + b)^(3/4)*(a*x^4 - 4*b)/((a*x^4 + 4*b)*x^8), x)","F",0
1931,0,0,0,0.000000," ","integrate((a*x^4+b)^(3/4)*(a*x^4+2*b)/x^8/(a*x^4+4*b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} + 2 \, b\right)} {\left(a x^{4} + b\right)}^{\frac{3}{4}}}{{\left(a x^{4} + 4 \, b\right)} x^{8}}\,{d x}"," ",0,"integrate((a*x^4 + 2*b)*(a*x^4 + b)^(3/4)/((a*x^4 + 4*b)*x^8), x)","F",0
1932,0,0,0,0.000000," ","integrate(x^4*(a*x^4+b*x^3)^(1/4)/(a*x+b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} x^{4}}{a x + b}\,{d x}"," ",0,"integrate((a*x^4 + b*x^3)^(1/4)*x^4/(a*x + b), x)","F",0
1933,0,0,0,0.000000," ","integrate((a*x^2+b)/(a*x^2-b)/(a^2*x^4+b^2)^(1/2),x, algorithm=""maxima"")","\int \frac{a x^{2} + b}{\sqrt{a^{2} x^{4} + b^{2}} {\left(a x^{2} - b\right)}}\,{d x}"," ",0,"integrate((a*x^2 + b)/(sqrt(a^2*x^4 + b^2)*(a*x^2 - b)), x)","F",0
1934,0,0,0,0.000000," ","integrate((x^2+1)*(1+(x^2+1)^(1/2))^(1/2)/(x^2-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{2} + 1\right)} \sqrt{\sqrt{x^{2} + 1} + 1}}{x^{2} - 1}\,{d x}"," ",0,"integrate((x^2 + 1)*sqrt(sqrt(x^2 + 1) + 1)/(x^2 - 1), x)","F",0
1935,1,108,0,0.431402," ","integrate(1/(a*x^3-b)^(1/3),x, algorithm=""maxima"")","-\frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(a^{\frac{1}{3}} + \frac{2 \, {\left(a x^{3} - b\right)}^{\frac{1}{3}}}{x}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{3 \, a^{\frac{1}{3}}} + \frac{\log\left(a^{\frac{2}{3}} + \frac{{\left(a x^{3} - b\right)}^{\frac{1}{3}} a^{\frac{1}{3}}}{x} + \frac{{\left(a x^{3} - b\right)}^{\frac{2}{3}}}{x^{2}}\right)}{6 \, a^{\frac{1}{3}}} - \frac{\log\left(-a^{\frac{1}{3}} + \frac{{\left(a x^{3} - b\right)}^{\frac{1}{3}}}{x}\right)}{3 \, a^{\frac{1}{3}}}"," ",0,"-1/3*sqrt(3)*arctan(1/3*sqrt(3)*(a^(1/3) + 2*(a*x^3 - b)^(1/3)/x)/a^(1/3))/a^(1/3) + 1/6*log(a^(2/3) + (a*x^3 - b)^(1/3)*a^(1/3)/x + (a*x^3 - b)^(2/3)/x^2)/a^(1/3) - 1/3*log(-a^(1/3) + (a*x^3 - b)^(1/3)/x)/a^(1/3)","A",0
1936,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a^{2} - 2 \, a x + x^{2}\right)} {\left(a b + a c - 3 \, b c - 2 \, {\left(a - b - c\right)} x - x^{2}\right)}}{{\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)} \left(-{\left(a - x\right)} {\left(b - x\right)} {\left(c - x\right)}\right)^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((a^2 - 2*a*x + x^2)*(a*b + a*c - 3*b*c - 2*(a - b - c)*x - x^2)/((a^3*d - d*x^3 + (3*a*d + 1)*x^2 + b*c - (3*a^2*d + b + c)*x)*(-(a - x)*(b - x)*(c - x))^(3/4)), x)","F",0
1937,0,0,0,0.000000," ","integrate((x^5-4)*(x^5-2*x^4+1)^(1/4)/x^2/(x^5+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{5} - 2 \, x^{4} + 1\right)}^{\frac{1}{4}} {\left(x^{5} - 4\right)}}{{\left(x^{5} + 1\right)} x^{2}}\,{d x}"," ",0,"integrate((x^5 - 2*x^4 + 1)^(1/4)*(x^5 - 4)/((x^5 + 1)*x^2), x)","F",0
1938,0,0,0,0.000000," ","integrate((a*x^6+b)/x^6/(x^3+x)^(1/3),x, algorithm=""maxima"")","\int \frac{a x^{6} + b}{{\left(x^{3} + x\right)}^{\frac{1}{3}} x^{6}}\,{d x}"," ",0,"integrate((a*x^6 + b)/((x^3 + x)^(1/3)*x^6), x)","F",0
1939,0,0,0,0.000000," ","integrate((a^2*x^2+b^2)/(a*x+(a^2*x^2+b^2)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{a^{2} x^{2} + b^{2}}{\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}}\,{d x}"," ",0,"integrate((a^2*x^2 + b^2)/sqrt(a*x + sqrt(a^2*x^2 + b^2)), x)","F",0
1940,0,0,0,0.000000," ","integrate(x^2/(a*x^2+b)^(3/4)/(a*x^2+2*b),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(a x^{2} + 2 \, b\right)} {\left(a x^{2} + b\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(x^2/((a*x^2 + 2*b)*(a*x^2 + b)^(3/4)), x)","F",0
1941,1,108,0,0.427345," ","integrate(x/(a*x^3-b)^(2/3),x, algorithm=""maxima"")","\frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(a^{\frac{1}{3}} + \frac{2 \, {\left(a x^{3} - b\right)}^{\frac{1}{3}}}{x}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{3 \, a^{\frac{2}{3}}} + \frac{\log\left(a^{\frac{2}{3}} + \frac{{\left(a x^{3} - b\right)}^{\frac{1}{3}} a^{\frac{1}{3}}}{x} + \frac{{\left(a x^{3} - b\right)}^{\frac{2}{3}}}{x^{2}}\right)}{6 \, a^{\frac{2}{3}}} - \frac{\log\left(-a^{\frac{1}{3}} + \frac{{\left(a x^{3} - b\right)}^{\frac{1}{3}}}{x}\right)}{3 \, a^{\frac{2}{3}}}"," ",0,"1/3*sqrt(3)*arctan(1/3*sqrt(3)*(a^(1/3) + 2*(a*x^3 - b)^(1/3)/x)/a^(1/3))/a^(2/3) + 1/6*log(a^(2/3) + (a*x^3 - b)^(1/3)*a^(1/3)/x + (a*x^3 - b)^(2/3)/x^2)/a^(2/3) - 1/3*log(-a^(1/3) + (a*x^3 - b)^(1/3)/x)/a^(2/3)","A",0
1942,0,0,0,0.000000," ","integrate(x*(x^4+x^2)^(1/3)/(2*x^2+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + x^{2}\right)}^{\frac{1}{3}} x}{2 \, x^{2} + 1}\,{d x}"," ",0,"integrate((x^4 + x^2)^(1/3)*x/(2*x^2 + 1), x)","F",0
1943,0,0,0,0.000000," ","integrate((a*x^3+b)/x^6/(a*x^3-b)/(a*x^4+b*x)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{3} + b}{{\left(a x^{4} + b x\right)}^{\frac{1}{4}} {\left(a x^{3} - b\right)} x^{6}}\,{d x}"," ",0,"integrate((a*x^3 + b)/((a*x^4 + b*x)^(1/4)*(a*x^3 - b)*x^6), x)","F",0
1944,0,0,0,0.000000," ","integrate((x^4-1)*(x^6+x^2)^(1/4)/(x^8+x^4+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} - 1\right)}}{x^{8} + x^{4} + 1}\,{d x}"," ",0,"integrate((x^6 + x^2)^(1/4)*(x^4 - 1)/(x^8 + x^4 + 1), x)","F",0
1945,0,0,0,0.000000," ","integrate((x^4-1)*(x^6+x^2)^(1/4)/(x^8+x^4+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} - 1\right)}}{x^{8} + x^{4} + 1}\,{d x}"," ",0,"integrate((x^6 + x^2)^(1/4)*(x^4 - 1)/(x^8 + x^4 + 1), x)","F",0
1946,0,0,0,0.000000," ","integrate(x*(a*x+(a*x-b)^(1/2))^(1/2)/(a*x-b)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{a x + \sqrt{a x - b}} x}{\sqrt{a x - b}}\,{d x}"," ",0,"integrate(sqrt(a*x + sqrt(a*x - b))*x/sqrt(a*x - b), x)","F",0
1947,0,0,0,0.000000," ","integrate((a*x-1)*(a*x+(a*x-b)^(1/2))^(1/2)/(a*x-b)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{a x + \sqrt{a x - b}} {\left(a x - 1\right)}}{\sqrt{a x - b}}\,{d x}"," ",0,"integrate(sqrt(a*x + sqrt(a*x - b))*(a*x - 1)/sqrt(a*x - b), x)","F",0
1948,0,0,0,0.000000," ","integrate((x^4-1)/(x^4+1)/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{x^{4} - 1}{{\left(x^{4} + 1\right)} \sqrt{x + \sqrt{x^{2} + 1}}}\,{d x}"," ",0,"integrate((x^4 - 1)/((x^4 + 1)*sqrt(x + sqrt(x^2 + 1))), x)","F",0
1949,0,0,0,0.000000," ","integrate((x^4-1)/(x^4+1)/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{x^{4} - 1}{{\left(x^{4} + 1\right)} \sqrt{x + \sqrt{x^{2} + 1}}}\,{d x}"," ",0,"integrate((x^4 - 1)/((x^4 + 1)*sqrt(x + sqrt(x^2 + 1))), x)","F",0
1950,0,0,0,0.000000," ","integrate(1/(x^4-x^2)^(1/4)/(x^8-1),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{8} - 1\right)} {\left(x^{4} - x^{2}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((x^8 - 1)*(x^4 - x^2)^(1/4)), x)","F",0
1951,0,0,0,0.000000," ","integrate(1/(x^4-x^2)^(1/4)/(x^8-1),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{8} - 1\right)} {\left(x^{4} - x^{2}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((x^8 - 1)*(x^4 - x^2)^(1/4)), x)","F",0
1952,0,0,0,0.000000," ","integrate((x^4-2)/(x^4+1)^(1/4)/(2*x^8-x^4-1),x, algorithm=""maxima"")","\int \frac{x^{4} - 2}{{\left(2 \, x^{8} - x^{4} - 1\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((x^4 - 2)/((2*x^8 - x^4 - 1)*(x^4 + 1)^(1/4)), x)","F",0
1953,0,0,0,0.000000," ","integrate((b+(a*x^2+b^2)^(1/2))^(1/2)/(a*x^2+b^2)^(5/2),x, algorithm=""maxima"")","\int \frac{\sqrt{b + \sqrt{a x^{2} + b^{2}}}}{{\left(a x^{2} + b^{2}\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(b + sqrt(a*x^2 + b^2))/(a*x^2 + b^2)^(5/2), x)","F",0
1954,1,175,0,0.417871," ","integrate((a*x^2-b)^(1/4)/x,x, algorithm=""maxima"")","-\frac{1}{2} \, \sqrt{2} b^{\frac{1}{4}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} + 2 \, {\left(a x^{2} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right) - \frac{1}{2} \, \sqrt{2} b^{\frac{1}{4}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} - 2 \, {\left(a x^{2} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right) - \frac{1}{4} \, \sqrt{2} b^{\frac{1}{4}} \log\left(\sqrt{2} {\left(a x^{2} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{2} - b} + \sqrt{b}\right) + \frac{1}{4} \, \sqrt{2} b^{\frac{1}{4}} \log\left(-\sqrt{2} {\left(a x^{2} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{2} - b} + \sqrt{b}\right) + 2 \, {\left(a x^{2} - b\right)}^{\frac{1}{4}}"," ",0,"-1/2*sqrt(2)*b^(1/4)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4) + 2*(a*x^2 - b)^(1/4))/b^(1/4)) - 1/2*sqrt(2)*b^(1/4)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4) - 2*(a*x^2 - b)^(1/4))/b^(1/4)) - 1/4*sqrt(2)*b^(1/4)*log(sqrt(2)*(a*x^2 - b)^(1/4)*b^(1/4) + sqrt(a*x^2 - b) + sqrt(b)) + 1/4*sqrt(2)*b^(1/4)*log(-sqrt(2)*(a*x^2 - b)^(1/4)*b^(1/4) + sqrt(a*x^2 - b) + sqrt(b)) + 2*(a*x^2 - b)^(1/4)","A",0
1955,0,0,0,0.000000," ","integrate((a*x^2+b)*(x^3-x)^(1/3)/x^2,x, algorithm=""maxima"")","\int \frac{{\left(a x^{2} + b\right)} {\left(x^{3} - x\right)}^{\frac{1}{3}}}{x^{2}}\,{d x}"," ",0,"integrate((a*x^2 + b)*(x^3 - x)^(1/3)/x^2, x)","F",0
1956,1,213,0,0.412692," ","integrate((a*x-b)/x/(a^3*x^3+b^3)^(1/3),x, algorithm=""maxima"")","-\frac{1}{6} \, a {\left(\frac{2 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(a + \frac{2 \, {\left(a^{3} x^{3} + b^{3}\right)}^{\frac{1}{3}}}{x}\right)}}{3 \, a}\right)}{a} - \frac{\log\left(a^{2} + \frac{{\left(a^{3} x^{3} + b^{3}\right)}^{\frac{1}{3}} a}{x} + \frac{{\left(a^{3} x^{3} + b^{3}\right)}^{\frac{2}{3}}}{x^{2}}\right)}{a} + \frac{2 \, \log\left(-a + \frac{{\left(a^{3} x^{3} + b^{3}\right)}^{\frac{1}{3}}}{x}\right)}{a}\right)} - \frac{1}{6} \, b {\left(\frac{2 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(b + 2 \, {\left(a^{3} x^{3} + b^{3}\right)}^{\frac{1}{3}}\right)}}{3 \, b}\right)}{b} - \frac{\log\left(b^{2} + {\left(a^{3} x^{3} + b^{3}\right)}^{\frac{1}{3}} b + {\left(a^{3} x^{3} + b^{3}\right)}^{\frac{2}{3}}\right)}{b} + \frac{2 \, \log\left(-b + {\left(a^{3} x^{3} + b^{3}\right)}^{\frac{1}{3}}\right)}{b}\right)}"," ",0,"-1/6*a*(2*sqrt(3)*arctan(1/3*sqrt(3)*(a + 2*(a^3*x^3 + b^3)^(1/3)/x)/a)/a - log(a^2 + (a^3*x^3 + b^3)^(1/3)*a/x + (a^3*x^3 + b^3)^(2/3)/x^2)/a + 2*log(-a + (a^3*x^3 + b^3)^(1/3)/x)/a) - 1/6*b*(2*sqrt(3)*arctan(1/3*sqrt(3)*(b + 2*(a^3*x^3 + b^3)^(1/3))/b)/b - log(b^2 + (a^3*x^3 + b^3)^(1/3)*b + (a^3*x^3 + b^3)^(2/3))/b + 2*log(-b + (a^3*x^3 + b^3)^(1/3))/b)","A",0
1957,0,0,0,0.000000," ","integrate(x^2*(x^4-x^3)^(1/4)/(2+x),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} x^{2}}{x + 2}\,{d x}"," ",0,"integrate((x^4 - x^3)^(1/4)*x^2/(x + 2), x)","F",0
1958,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(12 \, x^{4} - 8 \, x^{2} + 8 \, x - 3\right)} {\left(x - 1\right)}}{{\left(2 \, x^{4} - 6 \, x^{3} + 7 \, x^{2} - 7 \, x + 3\right)} {\left(2 \, x^{2} + 1\right)} x \left(-\frac{2 \, x^{2} - 1}{2 \, x^{2} + 1}\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((12*x^4 - 8*x^2 + 8*x - 3)*(x - 1)/((2*x^4 - 6*x^3 + 7*x^2 - 7*x + 3)*(2*x^2 + 1)*x*(-(2*x^2 - 1)/(2*x^2 + 1))^(2/3)), x)","F",0
1959,0,0,0,0.000000," ","integrate((-a*x^5+b)/(b*x+a)^(1/2)/(x^5+a*b),x, algorithm=""maxima"")","-\int \frac{a x^{5} - b}{{\left(x^{5} + a b\right)} \sqrt{b x + a}}\,{d x}"," ",0,"-integrate((a*x^5 - b)/((x^5 + a*b)*sqrt(b*x + a)), x)","F",0
1960,0,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(x^6+x^3+1)/x^6/(x^6-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} + x^{3} + 1\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{{\left(x^{6} - 1\right)} x^{6}}\,{d x}"," ",0,"integrate((x^6 + x^3 + 1)*(x^3 - 1)^(2/3)/((x^6 - 1)*x^6), x)","F",0
1961,0,0,0,0.000000," ","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=""maxima"")","\int \frac{x^{2} - 1}{{\left(x^{2} + 1\right)} \sqrt{x + 1} \sqrt{\sqrt{x + 1} + 1} \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}}\,{d x}"," ",0,"integrate((x^2 - 1)/((x^2 + 1)*sqrt(x + 1)*sqrt(sqrt(x + 1) + 1)*sqrt(sqrt(sqrt(x + 1) + 1) + 1)), x)","F",0
1962,0,0,0,0.000000," ","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=""maxima"")","\int \frac{x^{2} - 1}{{\left(x^{2} + 1\right)} \sqrt{x + 1} \sqrt{\sqrt{x + 1} + 1} \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}}\,{d x}"," ",0,"integrate((x^2 - 1)/((x^2 + 1)*sqrt(x + 1)*sqrt(sqrt(x + 1) + 1)*sqrt(sqrt(sqrt(x + 1) + 1) + 1)), x)","F",0
1963,0,0,0,0.000000," ","integrate(x/(x^2*(-a+x))^(2/3)/(-a*d+(-1+d)*x),x, algorithm=""maxima"")","-\int \frac{x}{\left(-{\left(a - x\right)} x^{2}\right)^{\frac{2}{3}} {\left(a d - {\left(d - 1\right)} x\right)}}\,{d x}"," ",0,"-integrate(x/((-(a - x)*x^2)^(2/3)*(a*d - (d - 1)*x)), x)","F",0
1964,1,178,0,0.418443," ","integrate((a*x^2-b)^(3/4)/x,x, algorithm=""maxima"")","-\frac{1}{4} \, {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} + 2 \, {\left(a x^{2} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{1}{4}}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} - 2 \, {\left(a x^{2} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{1}{4}}} - \frac{\sqrt{2} \log\left(\sqrt{2} {\left(a x^{2} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{2} - b} + \sqrt{b}\right)}{b^{\frac{1}{4}}} + \frac{\sqrt{2} \log\left(-\sqrt{2} {\left(a x^{2} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{2} - b} + \sqrt{b}\right)}{b^{\frac{1}{4}}}\right)} b + \frac{2}{3} \, {\left(a x^{2} - b\right)}^{\frac{3}{4}}"," ",0,"-1/4*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4) + 2*(a*x^2 - b)^(1/4))/b^(1/4))/b^(1/4) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4) - 2*(a*x^2 - b)^(1/4))/b^(1/4))/b^(1/4) - sqrt(2)*log(sqrt(2)*(a*x^2 - b)^(1/4)*b^(1/4) + sqrt(a*x^2 - b) + sqrt(b))/b^(1/4) + sqrt(2)*log(-sqrt(2)*(a*x^2 - b)^(1/4)*b^(1/4) + sqrt(a*x^2 - b) + sqrt(b))/b^(1/4))*b + 2/3*(a*x^2 - b)^(3/4)","A",0
1965,0,0,0,0.000000," ","integrate((x^2-2*x)/(x^2-x+1)/(x^4+1)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{2} - 2 \, x}{{\left(x^{4} + 1\right)}^{\frac{1}{4}} {\left(x^{2} - x + 1\right)}}\,{d x}"," ",0,"integrate((x^2 - 2*x)/((x^4 + 1)^(1/4)*(x^2 - x + 1)), x)","F",0
1966,0,0,0,0.000000," ","integrate((k^4*x^4+1)/((1-x)*x*(-k^2*x+1))^(1/2)/(k^4*x^4-1),x, algorithm=""maxima"")","\int \frac{k^{4} x^{4} + 1}{{\left(k^{4} x^{4} - 1\right)} \sqrt{{\left(k^{2} x - 1\right)} {\left(x - 1\right)} x}}\,{d x}"," ",0,"integrate((k^4*x^4 + 1)/((k^4*x^4 - 1)*sqrt((k^2*x - 1)*(x - 1)*x)), x)","F",0
1967,0,0,0,0.000000," ","integrate((a*x^8-b)/(a*x^4-b*x^2)^(1/4)/(a*x^8+b),x, algorithm=""maxima"")","\int \frac{a x^{8} - b}{{\left(a x^{8} + b\right)} {\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((a*x^8 - b)/((a*x^8 + b)*(a*x^4 - b*x^2)^(1/4)), x)","F",0
1968,0,0,0,0.000000," ","integrate((a*x^8-b)/(a*x^4-b*x^2)^(1/4)/(a*x^8+b),x, algorithm=""maxima"")","\int \frac{a x^{8} - b}{{\left(a x^{8} + b\right)} {\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((a*x^8 - b)/((a*x^8 + b)*(a*x^4 - b*x^2)^(1/4)), x)","F",0
1969,0,0,0,0.000000," ","integrate((x^8-1)*(x^8+1)/(x^8-x^4-1)^(1/4)/(x^16-3*x^8+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{8} + 1\right)} {\left(x^{8} - 1\right)}}{{\left(x^{16} - 3 \, x^{8} + 1\right)} {\left(x^{8} - x^{4} - 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((x^8 + 1)*(x^8 - 1)/((x^16 - 3*x^8 + 1)*(x^8 - x^4 - 1)^(1/4)), x)","F",0
1970,0,0,0,0.000000," ","integrate(1/(x^2*(-a+x))^(1/3)/(-a*d+(-1+d)*x),x, algorithm=""maxima"")","-\int \frac{1}{\left(-{\left(a - x\right)} x^{2}\right)^{\frac{1}{3}} {\left(a d - {\left(d - 1\right)} x\right)}}\,{d x}"," ",0,"-integrate(1/((-(a - x)*x^2)^(1/3)*(a*d - (d - 1)*x)), x)","F",0
1971,0,0,0,0.000000," ","integrate((x^2+2*x+6)^(1/3)/(1+x),x, algorithm=""maxima"")","\int \frac{{\left(x^{2} + 2 \, x + 6\right)}^{\frac{1}{3}}}{x + 1}\,{d x}"," ",0,"integrate((x^2 + 2*x + 6)^(1/3)/(x + 1), x)","F",0
1972,1,124,0,0.410956," ","integrate((-1+x)/x/(x^3-1)^(1/3),x, algorithm=""maxima"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}} - 1\right)}\right) - \frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} + 1\right)}\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) + \frac{1}{6} \, \log\left(\frac{{\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} + \frac{{\left(x^{3} - 1\right)}^{\frac{2}{3}}}{x^{2}} + 1\right) - \frac{1}{3} \, \log\left(\frac{{\left(x^{3} - 1\right)}^{\frac{1}{3}}}{x} - 1\right)"," ",0,"-1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^3 - 1)^(1/3) - 1)) - 1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^3 - 1)^(1/3)/x + 1)) - 1/6*log((x^3 - 1)^(2/3) - (x^3 - 1)^(1/3) + 1) + 1/3*log((x^3 - 1)^(1/3) + 1) + 1/6*log((x^3 - 1)^(1/3)/x + (x^3 - 1)^(2/3)/x^2 + 1) - 1/3*log((x^3 - 1)^(1/3)/x - 1)","A",0
1973,0,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(x^3+1)/x^6/(x^3-2),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} + 1\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{{\left(x^{3} - 2\right)} x^{6}}\,{d x}"," ",0,"integrate((x^3 + 1)*(x^3 - 1)^(2/3)/((x^3 - 2)*x^6), x)","F",0
1974,0,0,0,0.000000," ","integrate((x^2-4)*(x^3+x)^(1/3)/x^4/(x^2+2),x, algorithm=""maxima"")","-\frac{3 \, {\left(18 \, x^{5} + 7 \, {\left(x^{3} + x\right)} x^{2} + 8 \, x^{3} - 10 \, x\right)} {\left(x^{2} + 1\right)}^{\frac{1}{3}}}{56 \, {\left(x^{\frac{17}{3}} + 2 \, x^{\frac{11}{3}}\right)}} + \int \frac{9 \, {\left(3 \, x^{4} - x^{2} - 4\right)} {\left(x^{2} + 1\right)}^{\frac{1}{3}}}{7 \, {\left(x^{\frac{23}{3}} + 4 \, x^{\frac{17}{3}} + 4 \, x^{\frac{11}{3}}\right)}}\,{d x}"," ",0,"-3/56*(18*x^5 + 7*(x^3 + x)*x^2 + 8*x^3 - 10*x)*(x^2 + 1)^(1/3)/(x^(17/3) + 2*x^(11/3)) + integrate(9/7*(3*x^4 - x^2 - 4)*(x^2 + 1)^(1/3)/(x^(23/3) + 4*x^(17/3) + 4*x^(11/3)), x)","F",0
1975,0,0,0,0.000000," ","integrate((x^2+2)/(x^2+1)/(x^3-x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{x^{2} + 2}{{\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(x^{2} + 1\right)}}\,{d x}"," ",0,"integrate((x^2 + 2)/((x^3 - x^2)^(1/3)*(x^2 + 1)), x)","F",0
1976,0,0,0,0.000000," ","integrate(x/(a*x^2+b)/(a*x^3-b*x)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{a x^{3} - b x} {\left(a x^{2} + b\right)}}\,{d x}"," ",0,"integrate(x/(sqrt(a*x^3 - b*x)*(a*x^2 + b)), x)","F",0
1977,0,0,0,0.000000," ","integrate((a*x^2-b)/(a*x^2+b)/(a*x^3-b*x)^(1/2),x, algorithm=""maxima"")","\int \frac{a x^{2} - b}{\sqrt{a x^{3} - b x} {\left(a x^{2} + b\right)}}\,{d x}"," ",0,"integrate((a*x^2 - b)/(sqrt(a*x^3 - b*x)*(a*x^2 + b)), x)","F",0
1978,0,0,0,0.000000," ","integrate((a*x^3-b*x)^(1/2)/(a^2*x^4-b^2),x, algorithm=""maxima"")","\int \frac{\sqrt{a x^{3} - b x}}{a^{2} x^{4} - b^{2}}\,{d x}"," ",0,"integrate(sqrt(a*x^3 - b*x)/(a^2*x^4 - b^2), x)","F",0
1979,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(2 \, x^{5} + x^{3} + 2\right)} {\left(2 \, x^{5} - 3\right)} {\left(x^{5} + 1\right)}^{\frac{2}{3}}}{{\left(2 \, x^{5} - x^{3} + 2\right)} x^{6}}\,{d x}"," ",0,"integrate((2*x^5 + x^3 + 2)*(2*x^5 - 3)*(x^5 + 1)^(2/3)/((2*x^5 - x^3 + 2)*x^6), x)","F",0
1980,0,0,0,0.000000," ","integrate((a*x^6+b)/(a*x^6-b)/(a*x^6+a^3*x^3-b)^(1/3),x, algorithm=""maxima"")","\int \frac{a x^{6} + b}{{\left(a x^{6} + a^{3} x^{3} - b\right)}^{\frac{1}{3}} {\left(a x^{6} - b\right)}}\,{d x}"," ",0,"integrate((a*x^6 + b)/((a*x^6 + a^3*x^3 - b)^(1/3)*(a*x^6 - b)), x)","F",0
1981,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{x^{8} + x^{6} + x^{4} + x^{2} + 1} {\left(x^{8} + 1\right)} {\left(x^{2} + 1\right)}}{{\left(x^{2} - 1\right)} x^{7}}\,{d x}"," ",0,"integrate(sqrt(x^8 + x^6 + x^4 + x^2 + 1)*(x^8 + 1)*(x^2 + 1)/((x^2 - 1)*x^7), x)","F",0
1982,0,0,0,0.000000," ","integrate((a*x^8+b)/(a*x^4-b*x^2)^(1/4)/(a*x^8-b),x, algorithm=""maxima"")","\int \frac{a x^{8} + b}{{\left(a x^{8} - b\right)} {\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((a*x^8 + b)/((a*x^8 - b)*(a*x^4 - b*x^2)^(1/4)), x)","F",0
1983,0,0,0,0.000000," ","integrate((a*x^8+b)/(a*x^4-b*x^2)^(1/4)/(a*x^8-b),x, algorithm=""maxima"")","\int \frac{a x^{8} + b}{{\left(a x^{8} - b\right)} {\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((a*x^8 + b)/((a*x^8 - b)*(a*x^4 - b*x^2)^(1/4)), x)","F",0
1984,0,0,0,0.000000," ","integrate((x^4-1)*(x+(x^2+1)^(1/2))^(1/2)/(x^4+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - 1\right)} \sqrt{x + \sqrt{x^{2} + 1}}}{x^{4} + 1}\,{d x}"," ",0,"integrate((x^4 - 1)*sqrt(x + sqrt(x^2 + 1))/(x^4 + 1), x)","F",0
1985,0,0,0,0.000000," ","integrate((x^4-1)*(x+(x^2+1)^(1/2))^(1/2)/(x^4+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - 1\right)} \sqrt{x + \sqrt{x^{2} + 1}}}{x^{4} + 1}\,{d x}"," ",0,"integrate((x^4 - 1)*sqrt(x + sqrt(x^2 + 1))/(x^4 + 1), x)","F",0
1986,0,0,0,0.000000," ","integrate(x^2*(x^2+x)^(1/2)/(x^2+x*(x^2+x)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{2} + x} x^{2}}{\sqrt{x^{2} + \sqrt{x^{2} + x} x}}\,{d x}"," ",0,"integrate(sqrt(x^2 + x)*x^2/sqrt(x^2 + sqrt(x^2 + x)*x), x)","F",0
1987,0,0,0,0.000000," ","integrate(1/(c*x^2+d)/(a*x+(a^2*x^2+b^2)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + d\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}}\,{d x}"," ",0,"integrate(1/((c*x^2 + d)*sqrt(a*x + sqrt(a^2*x^2 + b^2))), x)","F",0
1988,0,0,0,0.000000," ","integrate(1/(c*x^2+d)/(a*x+(a^2*x^2+b^2)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + d\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}}\,{d x}"," ",0,"integrate(1/((c*x^2 + d)*sqrt(a*x + sqrt(a^2*x^2 + b^2))), x)","F",0
1989,0,0,0,0.000000," ","integrate((1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^2+1)/(x^2+1)^(1/2),x, algorithm=""maxima"")","-\int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{\sqrt{x^{2} + 1} {\left(x^{2} - 1\right)}}\,{d x}"," ",0,"-integrate(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/(sqrt(x^2 + 1)*(x^2 - 1)), x)","F",0
1990,0,0,0,0.000000," ","integrate((1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^2+1)/(x^2+1)^(1/2),x, algorithm=""maxima"")","-\int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{\sqrt{x^{2} + 1} {\left(x^{2} - 1\right)}}\,{d x}"," ",0,"-integrate(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/(sqrt(x^2 + 1)*(x^2 - 1)), x)","F",0
1991,0,0,0,0.000000," ","integrate((a^2*x^2+b)^(1/2)/(x^2-(a*x-(a^2*x^2+b)^(1/2))^(1/3)),x, algorithm=""maxima"")","\int \frac{\sqrt{a^{2} x^{2} + b}}{x^{2} - {\left(a x - \sqrt{a^{2} x^{2} + b}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(sqrt(a^2*x^2 + b)/(x^2 - (a*x - sqrt(a^2*x^2 + b))^(1/3)), x)","F",0
1992,0,0,0,0.000000," ","integrate((a^2*x^2+b)^(1/2)/(x^2-(a*x-(a^2*x^2+b)^(1/2))^(1/2)),x, algorithm=""maxima"")","\int \frac{\sqrt{a^{2} x^{2} + b}}{x^{2} - \sqrt{a x - \sqrt{a^{2} x^{2} + b}}}\,{d x}"," ",0,"integrate(sqrt(a^2*x^2 + b)/(x^2 - sqrt(a*x - sqrt(a^2*x^2 + b))), x)","F",0
1993,0,0,0,0.000000," ","integrate((x^2-2*x-6)^(1/3)/(-1+x),x, algorithm=""maxima"")","\int \frac{{\left(x^{2} - 2 \, x - 6\right)}^{\frac{1}{3}}}{x - 1}\,{d x}"," ",0,"integrate((x^2 - 2*x - 6)^(1/3)/(x - 1), x)","F",0
1994,0,0,0,0.000000," ","integrate((-1+x)/(x^3-x^2-x+1)^(1/3),x, algorithm=""maxima"")","\int \frac{x - 1}{{\left(x^{3} - x^{2} - x + 1\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((x - 1)/(x^3 - x^2 - x + 1)^(1/3), x)","F",0
1995,0,0,0,0.000000," ","integrate(x/(x^3+x^2-x-1)^(1/3),x, algorithm=""maxima"")","\int \frac{x}{{\left(x^{3} + x^{2} - x - 1\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(x/(x^3 + x^2 - x - 1)^(1/3), x)","F",0
1996,0,0,0,0.000000," ","integrate((3+2*x)*(3*x^3+x+1)^(2/3)/x^3/(x^3+x+1),x, algorithm=""maxima"")","\int \frac{{\left(3 \, x^{3} + x + 1\right)}^{\frac{2}{3}} {\left(2 \, x + 3\right)}}{{\left(x^{3} + x + 1\right)} x^{3}}\,{d x}"," ",0,"integrate((3*x^3 + x + 1)^(2/3)*(2*x + 3)/((x^3 + x + 1)*x^3), x)","F",0
1997,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(3 \, a b^{3} - 2 \, {\left(3 \, a + b\right)} b^{2} x + 3 \, {\left(a + b\right)} b x^{2} - x^{4}\right)} x^{2}}{\left({\left(a - x\right)} {\left(b - x\right)}^{3} x\right)^{\frac{3}{4}} {\left(a b^{3} - {\left(3 \, a + b\right)} b^{2} x + 3 \, {\left(a + b\right)} b x^{2} - {\left(a + 3 \, b + d\right)} x^{3} + x^{4}\right)}}\,{d x}"," ",0,"-integrate((3*a*b^3 - 2*(3*a + b)*b^2*x + 3*(a + b)*b*x^2 - x^4)*x^2/(((a - x)*(b - x)^3*x)^(3/4)*(a*b^3 - (3*a + b)*b^2*x + 3*(a + b)*b*x^2 - (a + 3*b + d)*x^3 + x^4)), x)","F",0
1998,0,0,0,0.000000," ","integrate(x^6/(a*x^4-b)^(3/4)/(a*x^4+b),x, algorithm=""maxima"")","\int \frac{x^{6}}{{\left(a x^{4} + b\right)} {\left(a x^{4} - b\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(x^6/((a*x^4 + b)*(a*x^4 - b)^(3/4)), x)","F",0
1999,0,0,0,0.000000," ","integrate((2*a*x^2-b)/(a*x^2-b)/(a*x^4+b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{2 \, a x^{2} - b}{{\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{2} - b\right)}}\,{d x}"," ",0,"integrate((2*a*x^2 - b)/((a*x^4 + b*x^2)^(1/4)*(a*x^2 - b)), x)","F",0
2000,0,0,0,0.000000," ","integrate((2*a*x^4-3*b)/(a*x^4-2*b)/(a*x^4+b)^(1/4),x, algorithm=""maxima"")","\int \frac{2 \, a x^{4} - 3 \, b}{{\left(a x^{4} + b\right)}^{\frac{1}{4}} {\left(a x^{4} - 2 \, b\right)}}\,{d x}"," ",0,"integrate((2*a*x^4 - 3*b)/((a*x^4 + b)^(1/4)*(a*x^4 - 2*b)), x)","F",0
2001,0,0,0,0.000000," ","integrate((a*x^4+b)/(a*x^4-b)^(1/4)/(3*a*x^4+b),x, algorithm=""maxima"")","\int \frac{a x^{4} + b}{{\left(3 \, a x^{4} + b\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((a*x^4 + b)/((3*a*x^4 + b)*(a*x^4 - b)^(1/4)), x)","F",0
2002,0,0,0,0.000000," ","integrate((x^6+2)*(x^6-x^4-1)/(-x^6-x^4+1)^(1/4)/(x^6-1)^2,x, algorithm=""maxima"")","\int \frac{{\left(x^{6} - x^{4} - 1\right)} {\left(x^{6} + 2\right)}}{{\left(x^{6} - 1\right)}^{2} {\left(-x^{6} - x^{4} + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((x^6 - x^4 - 1)*(x^6 + 2)/((x^6 - 1)^2*(-x^6 - x^4 + 1)^(1/4)), x)","F",0
2003,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a x^{6} - c x^{4} + b\right)} {\left(a x^{6} - 2 \, b\right)}}{{\left(a x^{6} + c x^{4} + b\right)} {\left(a x^{6} + b\right)}^{\frac{3}{4}} x^{2}}\,{d x}"," ",0,"integrate((a*x^6 - c*x^4 + b)*(a*x^6 - 2*b)/((a*x^6 + c*x^4 + b)*(a*x^6 + b)^(3/4)*x^2), x)","F",0
2004,0,0,0,0.000000," ","integrate((2*x^4+1)^(1/4)*(2*x^8-x^4-1)/x^6/(x^4+2),x, algorithm=""maxima"")","\int \frac{{\left(2 \, x^{8} - x^{4} - 1\right)} {\left(2 \, x^{4} + 1\right)}^{\frac{1}{4}}}{{\left(x^{4} + 2\right)} x^{6}}\,{d x}"," ",0,"integrate((2*x^8 - x^4 - 1)*(2*x^4 + 1)^(1/4)/((x^4 + 2)*x^6), x)","F",0
2005,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{b^{8} - 2 \, a^{4} x^{4}}{{\left(a^{8} x^{8} - b^{8} - c x^{4}\right)} {\left(-b^{8} + a^{4} x^{4}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"-integrate((b^8 - 2*a^4*x^4)/((a^8*x^8 - b^8 - c*x^4)*(-b^8 + a^4*x^4)^(1/4)), x)","F",0
2006,0,0,0,0.000000," ","integrate((x^2-1)/(x^2+1)/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} - 1}{{\left(x^{2} + 1\right)} \sqrt{x + \sqrt{x^{2} + 1}}}\,{d x}"," ",0,"integrate((x^2 - 1)/((x^2 + 1)*sqrt(x + sqrt(x^2 + 1))), x)","F",0
2007,0,0,0,0.000000," ","integrate((x^2+1)*(2*x^3+x)^(1/3)/x^4/(x^2-1),x, algorithm=""maxima"")","\int \frac{{\left(2 \, x^{3} + x\right)}^{\frac{1}{3}} {\left(x^{2} + 1\right)}}{{\left(x^{2} - 1\right)} x^{4}}\,{d x}"," ",0,"integrate((2*x^3 + x)^(1/3)*(x^2 + 1)/((x^2 - 1)*x^4), x)","F",0
2008,1,133,0,0.422401," ","integrate((a^3*x^3-b)*(a^3*x^3+b)^(1/3)/x^5,x, algorithm=""maxima"")","\frac{1}{6} \, {\left(2 \, \sqrt{3} a \arctan\left(\frac{\sqrt{3} {\left(a + \frac{2 \, {\left(a^{3} x^{3} + b\right)}^{\frac{1}{3}}}{x}\right)}}{3 \, a}\right) + a \log\left(a^{2} + \frac{{\left(a^{3} x^{3} + b\right)}^{\frac{1}{3}} a}{x} + \frac{{\left(a^{3} x^{3} + b\right)}^{\frac{2}{3}}}{x^{2}}\right) - 2 \, a \log\left(-a + \frac{{\left(a^{3} x^{3} + b\right)}^{\frac{1}{3}}}{x}\right) - \frac{6 \, {\left(a^{3} x^{3} + b\right)}^{\frac{1}{3}}}{x}\right)} a^{3} + \frac{{\left(a^{3} x^{3} + b\right)}^{\frac{4}{3}}}{4 \, x^{4}}"," ",0,"1/6*(2*sqrt(3)*a*arctan(1/3*sqrt(3)*(a + 2*(a^3*x^3 + b)^(1/3)/x)/a) + a*log(a^2 + (a^3*x^3 + b)^(1/3)*a/x + (a^3*x^3 + b)^(2/3)/x^2) - 2*a*log(-a + (a^3*x^3 + b)^(1/3)/x) - 6*(a^3*x^3 + b)^(1/3)/x)*a^3 + 1/4*(a^3*x^3 + b)^(4/3)/x^4","A",0
2009,0,0,0,0.000000," ","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=""maxima"")","\int \frac{a x^{2} - 3 \, b}{{\left(3 \, x^{4} - 2 \, a x^{2} + 3 \, b\right)} {\left(-2 \, a x^{2} + 3 \, b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((a*x^2 - 3*b)/((3*x^4 - 2*a*x^2 + 3*b)*(-2*a*x^2 + 3*b)^(1/4)), x)","F",0
2010,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a x^{5} - c x^{4} + b\right)} {\left(a x^{5} - 4 \, b\right)}}{{\left(a x^{5} + c x^{4} + b\right)} {\left(a x^{5} + b\right)}^{\frac{3}{4}} x^{2}}\,{d x}"," ",0,"integrate((a*x^5 - c*x^4 + b)*(a*x^5 - 4*b)/((a*x^5 + c*x^4 + b)*(a*x^5 + b)^(3/4)*x^2), x)","F",0
2011,0,0,0,0.000000," ","integrate((x^3-1)*(x^6+1)^(2/3)*(x^6-x^3+1)/x^6/(x^3+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} - x^{3} + 1\right)} {\left(x^{6} + 1\right)}^{\frac{2}{3}} {\left(x^{3} - 1\right)}}{{\left(x^{3} + 1\right)} x^{6}}\,{d x}"," ",0,"integrate((x^6 - x^3 + 1)*(x^6 + 1)^(2/3)*(x^3 - 1)/((x^3 + 1)*x^6), x)","F",0
2012,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a x^{2} - b^{2}\right)}^{2} \sqrt{b + \sqrt{a x^{2} + b^{2}}}}{{\left(a x^{2} + b^{2}\right)}^{2}}\,{d x}"," ",0,"integrate((a*x^2 - b^2)^2*sqrt(b + sqrt(a*x^2 + b^2))/(a*x^2 + b^2)^2, x)","F",0
2013,0,0,0,0.000000," ","integrate((x^3+2)*(2*x^3+1)^(2/3)/x^6/(x^3-1),x, algorithm=""maxima"")","\int \frac{{\left(2 \, x^{3} + 1\right)}^{\frac{2}{3}} {\left(x^{3} + 2\right)}}{{\left(x^{3} - 1\right)} x^{6}}\,{d x}"," ",0,"integrate((2*x^3 + 1)^(2/3)*(x^3 + 2)/((x^3 - 1)*x^6), x)","F",0
2014,0,0,0,0.000000," ","integrate((x^2-4)*(-2*x^4-x^2+2)^(1/4)/x^2/(x^2-2),x, algorithm=""maxima"")","\int \frac{{\left(-2 \, x^{4} - x^{2} + 2\right)}^{\frac{1}{4}} {\left(x^{2} - 4\right)}}{{\left(x^{2} - 2\right)} x^{2}}\,{d x}"," ",0,"integrate((-2*x^4 - x^2 + 2)^(1/4)*(x^2 - 4)/((x^2 - 2)*x^2), x)","F",0
2015,0,0,0,0.000000," ","integrate(1/(1+x)/(-x^4+x^2+2*x-2)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(-x^{4} + x^{2} + 2 \, x - 2\right)}^{\frac{3}{2}} {\left(x + 1\right)}}\,{d x}"," ",0,"integrate(1/((-x^4 + x^2 + 2*x - 2)^(3/2)*(x + 1)), x)","F",0
2016,0,0,0,0.000000," ","integrate((2*x^4-3)*(2*x^4+1)^(2/3)/x^3/(4*x^4-x^3+2),x, algorithm=""maxima"")","\int \frac{{\left(2 \, x^{4} + 1\right)}^{\frac{2}{3}} {\left(2 \, x^{4} - 3\right)}}{{\left(4 \, x^{4} - x^{3} + 2\right)} x^{3}}\,{d x}"," ",0,"integrate((2*x^4 + 1)^(2/3)*(2*x^4 - 3)/((4*x^4 - x^3 + 2)*x^3), x)","F",0
2017,0,0,0,0.000000," ","integrate((a*x^3-b)/x^6/(a*x^3+b)/(a*x^4-b*x)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{3} - b}{{\left(a x^{4} - b x\right)}^{\frac{1}{4}} {\left(a x^{3} + b\right)} x^{6}}\,{d x}"," ",0,"integrate((a*x^3 - b)/((a*x^4 - b*x)^(1/4)*(a*x^3 + b)*x^6), x)","F",0
2018,0,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(x^6+4*x^3+4)/x^9/(x^3+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} + 4 \, x^{3} + 4\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{{\left(x^{3} + 1\right)} x^{9}}\,{d x}"," ",0,"integrate((x^6 + 4*x^3 + 4)*(x^3 - 1)^(2/3)/((x^3 + 1)*x^9), x)","F",0
2019,0,0,0,0.000000," ","integrate((x^3+1)^(2/3)*(2*x^6-2*x^3-1)/x^9/(x^3-1),x, algorithm=""maxima"")","\int \frac{{\left(2 \, x^{6} - 2 \, x^{3} - 1\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{{\left(x^{3} - 1\right)} x^{9}}\,{d x}"," ",0,"integrate((2*x^6 - 2*x^3 - 1)*(x^3 + 1)^(2/3)/((x^3 - 1)*x^9), x)","F",0
2020,0,0,0,0.000000," ","integrate(1/(a^4*x^4-b^4)^(1/4)/(a^8*x^8-b^8-c*x^4),x, algorithm=""maxima"")","\int \frac{1}{{\left(a^{8} x^{8} - b^{8} - c x^{4}\right)} {\left(a^{4} x^{4} - b^{4}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((a^8*x^8 - b^8 - c*x^4)*(a^4*x^4 - b^4)^(1/4)), x)","F",0
2021,0,0,0,0.000000," ","integrate(1/(a^4*x^4-b^4)^(1/4)/(a^8*x^8-b^8-c*x^4),x, algorithm=""maxima"")","\int \frac{1}{{\left(a^{8} x^{8} - b^{8} - c x^{4}\right)} {\left(a^{4} x^{4} - b^{4}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((a^8*x^8 - b^8 - c*x^4)*(a^4*x^4 - b^4)^(1/4)), x)","F",0
2022,0,0,0,0.000000," ","integrate((x-(x^2+1)^(1/2))/(1+(x^2+1)^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{2}{3} \, {\left(\sqrt{x^{2} + 1} + 1\right)}^{\frac{3}{2}} - 2 \, \sqrt{\sqrt{x^{2} + 1} + 1} - \int \frac{\sqrt{x^{2} + 1}}{\sqrt{\sqrt{x^{2} + 1} + 1}}\,{d x}"," ",0,"2/3*(sqrt(x^2 + 1) + 1)^(3/2) - 2*sqrt(sqrt(x^2 + 1) + 1) - integrate(sqrt(x^2 + 1)/sqrt(sqrt(x^2 + 1) + 1), x)","F",0
2023,0,0,0,0.000000," ","integrate((x^3-4)*(x^3-2)*(x^3-1)^(2/3)/x^9/(3*x^3-2),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} - 1\right)}^{\frac{2}{3}} {\left(x^{3} - 2\right)} {\left(x^{3} - 4\right)}}{{\left(3 \, x^{3} - 2\right)} x^{9}}\,{d x}"," ",0,"integrate((x^3 - 1)^(2/3)*(x^3 - 2)*(x^3 - 4)/((3*x^3 - 2)*x^9), x)","F",0
2024,0,0,0,0.000000," ","integrate(1/(-1+x)/(x^4-3*x^3-2*x^2)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{4} - 3 \, x^{3} - 2 \, x^{2}\right)}^{\frac{3}{2}} {\left(x - 1\right)}}\,{d x}"," ",0,"integrate(1/((x^4 - 3*x^3 - 2*x^2)^(3/2)*(x - 1)), x)","F",0
2025,0,0,0,0.000000," ","integrate(1/(2*a*x^3+b)/(a*x^4+b*x)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(a x^{4} + b x\right)}^{\frac{1}{4}} {\left(2 \, a x^{3} + b\right)}}\,{d x}"," ",0,"integrate(1/((a*x^4 + b*x)^(1/4)*(2*a*x^3 + b)), x)","F",0
2026,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(4 \, x^{7} + 3\right)} {\left(2 \, x^{7} + x^{3} - 2\right)} {\left(-x^{7} + 1\right)}^{\frac{1}{3}}}{{\left(4 \, x^{7} + x^{3} - 4\right)} {\left(x^{7} - 1\right)} x^{2}}\,{d x}"," ",0,"integrate((4*x^7 + 3)*(2*x^7 + x^3 - 2)*(-x^7 + 1)^(1/3)/((4*x^7 + x^3 - 4)*(x^7 - 1)*x^2), x)","F",0
2027,0,0,0,0.000000," ","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=""maxima"")","\sqrt{2} \log\left(x^{2} + \sqrt{2} x + 1\right) - \sqrt{2} \log\left(x^{2} - \sqrt{2} x + 1\right) + 5 \, \int \frac{x^{6} - x^{4} + x^{2} - 1}{x^{8} - x^{6} + x^{4} - x^{2} + 1}\,{d x}"," ",0,"sqrt(2)*log(x^2 + sqrt(2)*x + 1) - sqrt(2)*log(x^2 - sqrt(2)*x + 1) + 5*integrate((x^6 - x^4 + x^2 - 1)/(x^8 - x^6 + x^4 - x^2 + 1), x)","F",0
2028,0,0,0,0.000000," ","integrate(1/x^2/(b+(a*x^2+b^2)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b + \sqrt{a x^{2} + b^{2}}} x^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(b + sqrt(a*x^2 + b^2))*x^2), x)","F",0
2029,1,175,0,0.429086," ","integrate((a*x^3-b)^(1/4)/x,x, algorithm=""maxima"")","-\frac{1}{3} \, \sqrt{2} b^{\frac{1}{4}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} + 2 \, {\left(a x^{3} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right) - \frac{1}{3} \, \sqrt{2} b^{\frac{1}{4}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} - 2 \, {\left(a x^{3} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right) - \frac{1}{6} \, \sqrt{2} b^{\frac{1}{4}} \log\left(\sqrt{2} {\left(a x^{3} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{3} - b} + \sqrt{b}\right) + \frac{1}{6} \, \sqrt{2} b^{\frac{1}{4}} \log\left(-\sqrt{2} {\left(a x^{3} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{3} - b} + \sqrt{b}\right) + \frac{4}{3} \, {\left(a x^{3} - b\right)}^{\frac{1}{4}}"," ",0,"-1/3*sqrt(2)*b^(1/4)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4) + 2*(a*x^3 - b)^(1/4))/b^(1/4)) - 1/3*sqrt(2)*b^(1/4)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4) - 2*(a*x^3 - b)^(1/4))/b^(1/4)) - 1/6*sqrt(2)*b^(1/4)*log(sqrt(2)*(a*x^3 - b)^(1/4)*b^(1/4) + sqrt(a*x^3 - b) + sqrt(b)) + 1/6*sqrt(2)*b^(1/4)*log(-sqrt(2)*(a*x^3 - b)^(1/4)*b^(1/4) + sqrt(a*x^3 - b) + sqrt(b)) + 4/3*(a*x^3 - b)^(1/4)","A",0
2030,1,178,0,0.514287," ","integrate((a*x^3-b)^(3/4)/x,x, algorithm=""maxima"")","-\frac{1}{6} \, {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} + 2 \, {\left(a x^{3} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{1}{4}}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} - 2 \, {\left(a x^{3} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{1}{4}}} - \frac{\sqrt{2} \log\left(\sqrt{2} {\left(a x^{3} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{3} - b} + \sqrt{b}\right)}{b^{\frac{1}{4}}} + \frac{\sqrt{2} \log\left(-\sqrt{2} {\left(a x^{3} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{3} - b} + \sqrt{b}\right)}{b^{\frac{1}{4}}}\right)} b + \frac{4}{9} \, {\left(a x^{3} - b\right)}^{\frac{3}{4}}"," ",0,"-1/6*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4) + 2*(a*x^3 - b)^(1/4))/b^(1/4))/b^(1/4) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4) - 2*(a*x^3 - b)^(1/4))/b^(1/4))/b^(1/4) - sqrt(2)*log(sqrt(2)*(a*x^3 - b)^(1/4)*b^(1/4) + sqrt(a*x^3 - b) + sqrt(b))/b^(1/4) + sqrt(2)*log(-sqrt(2)*(a*x^3 - b)^(1/4)*b^(1/4) + sqrt(a*x^3 - b) + sqrt(b))/b^(1/4))*b + 4/9*(a*x^3 - b)^(3/4)","A",0
2031,0,0,0,0.000000," ","integrate((x^4-1)^(2/3)*(x^4+3)*(x^4-x^3-1)/x^6/(2*x^4-x^3-2),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - x^{3} - 1\right)} {\left(x^{4} + 3\right)} {\left(x^{4} - 1\right)}^{\frac{2}{3}}}{{\left(2 \, x^{4} - x^{3} - 2\right)} x^{6}}\,{d x}"," ",0,"integrate((x^4 - x^3 - 1)*(x^4 + 3)*(x^4 - 1)^(2/3)/((2*x^4 - x^3 - 2)*x^6), x)","F",0
2032,1,178,0,0.410666," ","integrate((a*x^4-b)^(3/4)/x,x, algorithm=""maxima"")","-\frac{1}{8} \, {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} + 2 \, {\left(a x^{4} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{1}{4}}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} - 2 \, {\left(a x^{4} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{1}{4}}} - \frac{\sqrt{2} \log\left(\sqrt{2} {\left(a x^{4} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{4} - b} + \sqrt{b}\right)}{b^{\frac{1}{4}}} + \frac{\sqrt{2} \log\left(-\sqrt{2} {\left(a x^{4} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{4} - b} + \sqrt{b}\right)}{b^{\frac{1}{4}}}\right)} b + \frac{1}{3} \, {\left(a x^{4} - b\right)}^{\frac{3}{4}}"," ",0,"-1/8*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4) + 2*(a*x^4 - b)^(1/4))/b^(1/4))/b^(1/4) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4) - 2*(a*x^4 - b)^(1/4))/b^(1/4))/b^(1/4) - sqrt(2)*log(sqrt(2)*(a*x^4 - b)^(1/4)*b^(1/4) + sqrt(a*x^4 - b) + sqrt(b))/b^(1/4) + sqrt(2)*log(-sqrt(2)*(a*x^4 - b)^(1/4)*b^(1/4) + sqrt(a*x^4 - b) + sqrt(b))/b^(1/4))*b + 1/3*(a*x^4 - b)^(3/4)","A",0
2033,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{3 \, a b^{3} - 2 \, {\left(3 \, a + b\right)} b^{2} x + 3 \, {\left(a + b\right)} b x^{2} - x^{4}}{{\left(a b^{3} d - {\left(3 \, a + b\right)} b^{2} d x + 3 \, {\left(a + b\right)} b d x^{2} + d x^{4} - {\left(a d + 3 \, b d + 1\right)} x^{3}\right)} \left({\left(a - x\right)} {\left(b - x\right)}^{3} x\right)^{\frac{1}{4}}}\,{d x}"," ",0,"-integrate((3*a*b^3 - 2*(3*a + b)*b^2*x + 3*(a + b)*b*x^2 - x^4)/((a*b^3*d - (3*a + b)*b^2*d*x + 3*(a + b)*b*d*x^2 + d*x^4 - (a*d + 3*b*d + 1)*x^3)*((a - x)*(b - x)^3*x)^(1/4)), x)","F",0
2034,1,178,0,0.420295," ","integrate((a*x^5-b)^(3/4)/x,x, algorithm=""maxima"")","-\frac{1}{10} \, {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} + 2 \, {\left(a x^{5} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{1}{4}}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} - 2 \, {\left(a x^{5} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{1}{4}}} - \frac{\sqrt{2} \log\left(\sqrt{2} {\left(a x^{5} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{5} - b} + \sqrt{b}\right)}{b^{\frac{1}{4}}} + \frac{\sqrt{2} \log\left(-\sqrt{2} {\left(a x^{5} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{5} - b} + \sqrt{b}\right)}{b^{\frac{1}{4}}}\right)} b + \frac{4}{15} \, {\left(a x^{5} - b\right)}^{\frac{3}{4}}"," ",0,"-1/10*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4) + 2*(a*x^5 - b)^(1/4))/b^(1/4))/b^(1/4) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4) - 2*(a*x^5 - b)^(1/4))/b^(1/4))/b^(1/4) - sqrt(2)*log(sqrt(2)*(a*x^5 - b)^(1/4)*b^(1/4) + sqrt(a*x^5 - b) + sqrt(b))/b^(1/4) + sqrt(2)*log(-sqrt(2)*(a*x^5 - b)^(1/4)*b^(1/4) + sqrt(a*x^5 - b) + sqrt(b))/b^(1/4))*b + 4/15*(a*x^5 - b)^(3/4)","A",0
2035,0,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(x^6+x^3+4)/x^9/(x^3-2),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} + x^{3} + 4\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{{\left(x^{3} - 2\right)} x^{9}}\,{d x}"," ",0,"integrate((x^6 + x^3 + 4)*(x^3 - 1)^(2/3)/((x^3 - 2)*x^9), x)","F",0
2036,0,0,0,0.000000," ","integrate((3*x^6-4*x-3)/(x^6+2*x+1)/(x^6+2*x^3+2*x+1)^(1/3),x, algorithm=""maxima"")","\int \frac{3 \, x^{6} - 4 \, x - 3}{{\left(x^{6} + 2 \, x^{3} + 2 \, x + 1\right)}^{\frac{1}{3}} {\left(x^{6} + 2 \, x + 1\right)}}\,{d x}"," ",0,"integrate((3*x^6 - 4*x - 3)/((x^6 + 2*x^3 + 2*x + 1)^(1/3)*(x^6 + 2*x + 1)), x)","F",0
2037,1,178,0,0.422714," ","integrate((a*x^6-b)^(3/4)/x,x, algorithm=""maxima"")","-\frac{1}{12} \, {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} + 2 \, {\left(a x^{6} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{1}{4}}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} - 2 \, {\left(a x^{6} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{1}{4}}} - \frac{\sqrt{2} \log\left(\sqrt{2} {\left(a x^{6} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{6} - b} + \sqrt{b}\right)}{b^{\frac{1}{4}}} + \frac{\sqrt{2} \log\left(-\sqrt{2} {\left(a x^{6} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{6} - b} + \sqrt{b}\right)}{b^{\frac{1}{4}}}\right)} b + \frac{2}{9} \, {\left(a x^{6} - b\right)}^{\frac{3}{4}}"," ",0,"-1/12*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4) + 2*(a*x^6 - b)^(1/4))/b^(1/4))/b^(1/4) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4) - 2*(a*x^6 - b)^(1/4))/b^(1/4))/b^(1/4) - sqrt(2)*log(sqrt(2)*(a*x^6 - b)^(1/4)*b^(1/4) + sqrt(a*x^6 - b) + sqrt(b))/b^(1/4) + sqrt(2)*log(-sqrt(2)*(a*x^6 - b)^(1/4)*b^(1/4) + sqrt(a*x^6 - b) + sqrt(b))/b^(1/4))*b + 2/9*(a*x^6 - b)^(3/4)","A",0
2038,0,0,0,0.000000," ","integrate((a*x^6+b)/(x^3-x)^(1/3),x, algorithm=""maxima"")","\int \frac{a x^{6} + b}{{\left(x^{3} - x\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((a*x^6 + b)/(x^3 - x)^(1/3), x)","F",0
2039,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a x^{2} + \sqrt{\frac{a^{2} x^{2}}{b^{2}} - \frac{a}{b^{2}}} b x\right)}^{\frac{1}{4}}}{\sqrt{\frac{a^{2} x^{2}}{b^{2}} - \frac{a}{b^{2}}}}\,{d x}"," ",0,"integrate((a*x^2 + sqrt(a^2*x^2/b^2 - a/b^2)*b*x)^(1/4)/sqrt(a^2*x^2/b^2 - a/b^2), x)","F",0
2040,0,0,0,0.000000," ","integrate(1/(x^2*(-a+x))^(1/3)/(a+(-1+d)*x),x, algorithm=""maxima"")","\int \frac{1}{\left(-{\left(a - x\right)} x^{2}\right)^{\frac{1}{3}} {\left({\left(d - 1\right)} x + a\right)}}\,{d x}"," ",0,"integrate(1/((-(a - x)*x^2)^(1/3)*((d - 1)*x + a)), x)","F",0
2041,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{4} + x^{3} - x - 2\right)} {\left(x^{4} + 2 \, x + 6\right)} {\left(-x^{4} - x^{3} + x + 2\right)}^{\frac{2}{3}}}{{\left(x^{4} + 2 \, x^{3} - x - 2\right)} x^{6}}\,{d x}"," ",0,"integrate((x^4 + x^3 - x - 2)*(x^4 + 2*x + 6)*(-x^4 - x^3 + x + 2)^(2/3)/((x^4 + 2*x^3 - x - 2)*x^6), x)","F",0
2042,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(2 \, x^{4} + x^{3} + 2\right)} {\left(x^{4} + 1\right)}^{\frac{2}{3}} {\left(x^{4} - 3\right)}}{{\left(4 \, x^{4} - x^{3} + 4\right)} x^{6}}\,{d x}"," ",0,"integrate((2*x^4 + x^3 + 2)*(x^4 + 1)^(2/3)*(x^4 - 3)/((4*x^4 - x^3 + 4)*x^6), x)","F",0
2043,0,0,0,0.000000," ","integrate((2*x^6-x^4-1)*(x^7-x^5+x)^(1/3)/(x^6-x^4+x^2+1)^2,x, algorithm=""maxima"")","\int \frac{{\left(x^{7} - x^{5} + x\right)}^{\frac{1}{3}} {\left(2 \, x^{6} - x^{4} - 1\right)}}{{\left(x^{6} - x^{4} + x^{2} + 1\right)}^{2}}\,{d x}"," ",0,"integrate((x^7 - x^5 + x)^(1/3)*(2*x^6 - x^4 - 1)/(x^6 - x^4 + x^2 + 1)^2, x)","F",0
2044,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(a x^{3} - 4 \, b\right)} x^{4}}{{\left(a^{2} x^{6} - x^{8} - 2 \, a b x^{3} + b^{2}\right)} {\left(a x^{3} - b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"-integrate((a*x^3 - 4*b)*x^4/((a^2*x^6 - x^8 - 2*a*b*x^3 + b^2)*(a*x^3 - b)^(1/4)), x)","F",0
2045,0,0,0,0.000000," ","integrate((x^2-1)^(1/2)*(x^2+x*(x^2-1)^(1/2))^(1/2)/(x^2+1),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{2} + \sqrt{x^{2} - 1} x} \sqrt{x^{2} - 1}}{x^{2} + 1}\,{d x}"," ",0,"integrate(sqrt(x^2 + sqrt(x^2 - 1)*x)*sqrt(x^2 - 1)/(x^2 + 1), x)","F",0
2046,0,0,0,0.000000," ","integrate(x/(x^2*(-a+x))^(2/3)/(a+(-1+d)*x),x, algorithm=""maxima"")","\int \frac{x}{\left(-{\left(a - x\right)} x^{2}\right)^{\frac{2}{3}} {\left({\left(d - 1\right)} x + a\right)}}\,{d x}"," ",0,"integrate(x/((-(a - x)*x^2)^(2/3)*((d - 1)*x + a)), x)","F",0
2047,0,0,0,0.000000," ","integrate((x^2+x+2)/(x^2+2*x+3)/(x^3+x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{x^{2} + x + 2}{{\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(x^{2} + 2 \, x + 3\right)}}\,{d x}"," ",0,"integrate((x^2 + x + 2)/((x^3 + x^2)^(1/3)*(x^2 + 2*x + 3)), x)","F",0
2048,0,0,0,0.000000," ","integrate((x^2+x+2)/(x^2+2*x+3)/(x^3+x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{x^{2} + x + 2}{{\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(x^{2} + 2 \, x + 3\right)}}\,{d x}"," ",0,"integrate((x^2 + x + 2)/((x^3 + x^2)^(1/3)*(x^2 + 2*x + 3)), x)","F",0
2049,0,0,0,0.000000," ","integrate((a*x^2-c*x+b)/(a*x^2-b)/(a*x^3+b*x)^(1/2),x, algorithm=""maxima"")","\int \frac{a x^{2} - c x + b}{\sqrt{a x^{3} + b x} {\left(a x^{2} - b\right)}}\,{d x}"," ",0,"integrate((a*x^2 - c*x + b)/(sqrt(a*x^3 + b*x)*(a*x^2 - b)), x)","F",0
2050,0,0,0,0.000000," ","integrate((a*x^2+c*x+b)/(a*x^2-b)/(a*x^3+b*x)^(1/2),x, algorithm=""maxima"")","\int \frac{a x^{2} + c x + b}{\sqrt{a x^{3} + b x} {\left(a x^{2} - b\right)}}\,{d x}"," ",0,"integrate((a*x^2 + c*x + b)/(sqrt(a*x^3 + b*x)*(a*x^2 - b)), x)","F",0
2051,0,0,0,0.000000," ","integrate((1+x)*(x^4-x^3)^(1/4)/(x^2-x+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(x + 1\right)}}{x^{2} - x + 1}\,{d x}"," ",0,"integrate((x^4 - x^3)^(1/4)*(x + 1)/(x^2 - x + 1), x)","F",0
2052,0,0,0,0.000000," ","integrate((1+x)*(x^4-x^3)^(1/4)/(x^2-x+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(x + 1\right)}}{x^{2} - x + 1}\,{d x}"," ",0,"integrate((x^4 - x^3)^(1/4)*(x + 1)/(x^2 - x + 1), x)","F",0
2053,0,0,0,0.000000," ","integrate((-a*x^6+b)^(1/3)*(a*x^6+b)/x^2/(a*x^6+c*x^3-b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{6} + b\right)} {\left(-a x^{6} + b\right)}^{\frac{1}{3}}}{{\left(a x^{6} + c x^{3} - b\right)} x^{2}}\,{d x}"," ",0,"integrate((a*x^6 + b)*(-a*x^6 + b)^(1/3)/((a*x^6 + c*x^3 - b)*x^2), x)","F",0
2054,0,0,0,0.000000," ","integrate(x^2*(7*x^3+4)/(x^4+x)^(1/3)/(x^7+x^4-1),x, algorithm=""maxima"")","\int \frac{{\left(7 \, x^{3} + 4\right)} x^{2}}{{\left(x^{7} + x^{4} - 1\right)} {\left(x^{4} + x\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((7*x^3 + 4)*x^2/((x^7 + x^4 - 1)*(x^4 + x)^(1/3)), x)","F",0
2055,0,0,0,0.000000," ","integrate((c*x^4+2*d)/(a*x^4-b)^(1/4)/(e*x^8-2*f),x, algorithm=""maxima"")","\int \frac{c x^{4} + 2 \, d}{{\left(e x^{8} - 2 \, f\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((c*x^4 + 2*d)/((e*x^8 - 2*f)*(a*x^4 - b)^(1/4)), x)","F",0
2056,0,0,0,0.000000," ","integrate((1+x)^(1/2)*(x^2+1)/(x^2-1)/(x+(1+x)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(x^{2} + 1\right)} \sqrt{x + 1}}{{\left(x^{2} - 1\right)} \sqrt{x + \sqrt{x + 1}}}\,{d x}"," ",0,"integrate((x^2 + 1)*sqrt(x + 1)/((x^2 - 1)*sqrt(x + sqrt(x + 1))), x)","F",0
2057,0,0,0,0.000000," ","integrate((1+x)^(1/2)*(x^2+1)/(x^2-1)/(x+(1+x)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(x^{2} + 1\right)} \sqrt{x + 1}}{{\left(x^{2} - 1\right)} \sqrt{x + \sqrt{x + 1}}}\,{d x}"," ",0,"integrate((x^2 + 1)*sqrt(x + 1)/((x^2 - 1)*sqrt(x + sqrt(x + 1))), x)","F",0
2058,0,0,0,0.000000," ","integrate((x-(x^2-1)^(1/2))^(1/2)/x^2,x, algorithm=""maxima"")","\int \frac{\sqrt{x - \sqrt{x^{2} - 1}}}{x^{2}}\,{d x}"," ",0,"integrate(sqrt(x - sqrt(x^2 - 1))/x^2, x)","F",0
2059,0,0,0,0.000000," ","integrate((a*x+(a^2*x^2-b*x)^(1/2))^(3/4)/(a^2*x^2-b*x)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(a x + \sqrt{a^{2} x^{2} - b x}\right)}^{\frac{3}{4}}}{\sqrt{a^{2} x^{2} - b x}}\,{d x}"," ",0,"integrate((a*x + sqrt(a^2*x^2 - b*x))^(3/4)/sqrt(a^2*x^2 - b*x), x)","F",0
2060,0,0,0,0.000000," ","integrate((1+x)*(x^4+x^3)^(1/4)/x/(x^3-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(x + 1\right)}}{{\left(x^{3} - 1\right)} x}\,{d x}"," ",0,"integrate((x^4 + x^3)^(1/4)*(x + 1)/((x^3 - 1)*x), x)","F",0
2061,0,0,0,0.000000," ","integrate((a*x^4-b*x^3)^(1/4)*(c*x^4-d)/x^4,x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} {\left(c x^{4} - d\right)}}{x^{4}}\,{d x}"," ",0,"integrate((a*x^4 - b*x^3)^(1/4)*(c*x^4 - d)/x^4, x)","F",0
2062,0,0,0,0.000000," ","integrate((x^3+1)^(2/3)*(x^3+2)/x^6/(x^3+4),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} + 2\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{{\left(x^{3} + 4\right)} x^{6}}\,{d x}"," ",0,"integrate((x^3 + 2)*(x^3 + 1)^(2/3)/((x^3 + 4)*x^6), x)","F",0
2063,0,0,0,0.000000," ","integrate((x^3-1)*(3*x^3+1)^(2/3)/x^6/(x^3+1),x, algorithm=""maxima"")","\int \frac{{\left(3 \, x^{3} + 1\right)}^{\frac{2}{3}} {\left(x^{3} - 1\right)}}{{\left(x^{3} + 1\right)} x^{6}}\,{d x}"," ",0,"integrate((3*x^3 + 1)^(2/3)*(x^3 - 1)/((x^3 + 1)*x^6), x)","F",0
2064,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{12 \, x^{4} - 8 \, x^{2} + 8 \, x - 3}{{\left(2 \, x^{4} - 6 \, x^{3} + 7 \, x^{2} - 7 \, x + 3\right)} {\left(2 \, x^{2} + 1\right)} x \left(-\frac{2 \, x^{2} - 1}{2 \, x^{2} + 1}\right)^{\frac{1}{3}}}\,{d x}"," ",0,"-integrate((12*x^4 - 8*x^2 + 8*x - 3)/((2*x^4 - 6*x^3 + 7*x^2 - 7*x + 3)*(2*x^2 + 1)*x*(-(2*x^2 - 1)/(2*x^2 + 1))^(1/3)), x)","F",0
2065,0,0,0,0.000000," ","integrate(x^2/(a*x^3+b*x)^(1/2)/(a^2*x^4-b^2),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(a^{2} x^{4} - b^{2}\right)} \sqrt{a x^{3} + b x}}\,{d x}"," ",0,"integrate(x^2/((a^2*x^4 - b^2)*sqrt(a*x^3 + b*x)), x)","F",0
2066,0,0,0,0.000000," ","integrate((a*x^6+b)/x^6/(a*x^3-b)/(a*x^4+b*x)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{6} + b}{{\left(a x^{4} + b x\right)}^{\frac{1}{4}} {\left(a x^{3} - b\right)} x^{6}}\,{d x}"," ",0,"integrate((a*x^6 + b)/((a*x^4 + b*x)^(1/4)*(a*x^3 - b)*x^6), x)","F",0
2067,0,0,0,0.000000," ","integrate((x^8+2*x^3-1)^(1/3)*(5*x^8+3)/x^2/(x^8-1),x, algorithm=""maxima"")","\int \frac{{\left(5 \, x^{8} + 3\right)} {\left(x^{8} + 2 \, x^{3} - 1\right)}^{\frac{1}{3}}}{{\left(x^{8} - 1\right)} x^{2}}\,{d x}"," ",0,"integrate((5*x^8 + 3)*(x^8 + 2*x^3 - 1)^(1/3)/((x^8 - 1)*x^2), x)","F",0
2068,0,0,0,0.000000," ","integrate((a*x^2+b^2)^(1/2)/(b+(a*x^2+b^2)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{a x^{2} + b^{2}}}{\sqrt{b + \sqrt{a x^{2} + b^{2}}}}\,{d x}"," ",0,"integrate(sqrt(a*x^2 + b^2)/sqrt(b + sqrt(a*x^2 + b^2)), x)","F",0
2069,0,0,0,0.000000," ","integrate((b+(a*x^2+b^2)^(1/2))^(1/2)/(a*x^2+b^2)^3,x, algorithm=""maxima"")","\int \frac{\sqrt{b + \sqrt{a x^{2} + b^{2}}}}{{\left(a x^{2} + b^{2}\right)}^{3}}\,{d x}"," ",0,"integrate(sqrt(b + sqrt(a*x^2 + b^2))/(a*x^2 + b^2)^3, x)","F",0
2070,1,181,0,0.408058," ","integrate((a*x^2-b)^(3/4)/x^3,x, algorithm=""maxima"")","\frac{3}{16} \, {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} + 2 \, {\left(a x^{2} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{1}{4}}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} - 2 \, {\left(a x^{2} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{1}{4}}} - \frac{\sqrt{2} \log\left(\sqrt{2} {\left(a x^{2} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{2} - b} + \sqrt{b}\right)}{b^{\frac{1}{4}}} + \frac{\sqrt{2} \log\left(-\sqrt{2} {\left(a x^{2} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{2} - b} + \sqrt{b}\right)}{b^{\frac{1}{4}}}\right)} a - \frac{{\left(a x^{2} - b\right)}^{\frac{3}{4}}}{2 \, x^{2}}"," ",0,"3/16*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4) + 2*(a*x^2 - b)^(1/4))/b^(1/4))/b^(1/4) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4) - 2*(a*x^2 - b)^(1/4))/b^(1/4))/b^(1/4) - sqrt(2)*log(sqrt(2)*(a*x^2 - b)^(1/4)*b^(1/4) + sqrt(a*x^2 - b) + sqrt(b))/b^(1/4) + sqrt(2)*log(-sqrt(2)*(a*x^2 - b)^(1/4)*b^(1/4) + sqrt(a*x^2 - b) + sqrt(b))/b^(1/4))*a - 1/2*(a*x^2 - b)^(3/4)/x^2","A",0
2071,0,0,0,0.000000," ","integrate((x^3+1)*(2*x^3-1)^(2/3)/x^6/(2*x^3+1),x, algorithm=""maxima"")","\int \frac{{\left(2 \, x^{3} - 1\right)}^{\frac{2}{3}} {\left(x^{3} + 1\right)}}{{\left(2 \, x^{3} + 1\right)} x^{6}}\,{d x}"," ",0,"integrate((2*x^3 - 1)^(2/3)*(x^3 + 1)/((2*x^3 + 1)*x^6), x)","F",0
2072,0,0,0,0.000000," ","integrate((-x^3+1)^(2/3)*(4*x^3-1)/x^6/(3*x^3-2),x, algorithm=""maxima"")","\int \frac{{\left(4 \, x^{3} - 1\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}}}{{\left(3 \, x^{3} - 2\right)} x^{6}}\,{d x}"," ",0,"integrate((4*x^3 - 1)*(-x^3 + 1)^(2/3)/((3*x^3 - 2)*x^6), x)","F",0
2073,1,182,0,0.405519," ","integrate((a*x^3-b)^(1/4)/x^4,x, algorithm=""maxima"")","\frac{\sqrt{2} a \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} + 2 \, {\left(a x^{3} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{12 \, b^{\frac{3}{4}}} + \frac{\sqrt{2} a \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} - 2 \, {\left(a x^{3} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{12 \, b^{\frac{3}{4}}} + \frac{\sqrt{2} a \log\left(\sqrt{2} {\left(a x^{3} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{3} - b} + \sqrt{b}\right)}{24 \, b^{\frac{3}{4}}} - \frac{\sqrt{2} a \log\left(-\sqrt{2} {\left(a x^{3} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{3} - b} + \sqrt{b}\right)}{24 \, b^{\frac{3}{4}}} - \frac{{\left(a x^{3} - b\right)}^{\frac{1}{4}}}{3 \, x^{3}}"," ",0,"1/12*sqrt(2)*a*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4) + 2*(a*x^3 - b)^(1/4))/b^(1/4))/b^(3/4) + 1/12*sqrt(2)*a*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4) - 2*(a*x^3 - b)^(1/4))/b^(1/4))/b^(3/4) + 1/24*sqrt(2)*a*log(sqrt(2)*(a*x^3 - b)^(1/4)*b^(1/4) + sqrt(a*x^3 - b) + sqrt(b))/b^(3/4) - 1/24*sqrt(2)*a*log(-sqrt(2)*(a*x^3 - b)^(1/4)*b^(1/4) + sqrt(a*x^3 - b) + sqrt(b))/b^(3/4) - 1/3*(a*x^3 - b)^(1/4)/x^3","A",0
2074,1,181,0,0.406080," ","integrate((a*x^3-b)^(3/4)/x^4,x, algorithm=""maxima"")","\frac{1}{8} \, {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} + 2 \, {\left(a x^{3} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{1}{4}}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} - 2 \, {\left(a x^{3} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{1}{4}}} - \frac{\sqrt{2} \log\left(\sqrt{2} {\left(a x^{3} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{3} - b} + \sqrt{b}\right)}{b^{\frac{1}{4}}} + \frac{\sqrt{2} \log\left(-\sqrt{2} {\left(a x^{3} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{3} - b} + \sqrt{b}\right)}{b^{\frac{1}{4}}}\right)} a - \frac{{\left(a x^{3} - b\right)}^{\frac{3}{4}}}{3 \, x^{3}}"," ",0,"1/8*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4) + 2*(a*x^3 - b)^(1/4))/b^(1/4))/b^(1/4) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4) - 2*(a*x^3 - b)^(1/4))/b^(1/4))/b^(1/4) - sqrt(2)*log(sqrt(2)*(a*x^3 - b)^(1/4)*b^(1/4) + sqrt(a*x^3 - b) + sqrt(b))/b^(1/4) + sqrt(2)*log(-sqrt(2)*(a*x^3 - b)^(1/4)*b^(1/4) + sqrt(a*x^3 - b) + sqrt(b))/b^(1/4))*a - 1/3*(a*x^3 - b)^(3/4)/x^3","A",0
2075,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(b^{3} - 3 \, b^{2} x + 3 \, b x^{2} - x^{3}\right)} {\left(3 \, a b - {\left(a + 2 \, b\right)} x\right)} {\left(a - x\right)}}{\left(-{\left(a - x\right)} {\left(b - x\right)}^{2} x\right)^{\frac{3}{4}} {\left({\left(d - 1\right)} x^{3} + a b^{2} - {\left(2 \, a + b\right)} b x + {\left(a + 2 \, b\right)} x^{2}\right)} x}\,{d x}"," ",0,"-integrate((b^3 - 3*b^2*x + 3*b*x^2 - x^3)*(3*a*b - (a + 2*b)*x)*(a - x)/((-(a - x)*(b - x)^2*x)^(3/4)*((d - 1)*x^3 + a*b^2 - (2*a + b)*b*x + (a + 2*b)*x^2)*x), x)","F",0
2076,1,181,0,0.406701," ","integrate((a*x^5-b)^(3/4)/x^6,x, algorithm=""maxima"")","\frac{3}{40} \, {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} + 2 \, {\left(a x^{5} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{1}{4}}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} - 2 \, {\left(a x^{5} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{1}{4}}} - \frac{\sqrt{2} \log\left(\sqrt{2} {\left(a x^{5} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{5} - b} + \sqrt{b}\right)}{b^{\frac{1}{4}}} + \frac{\sqrt{2} \log\left(-\sqrt{2} {\left(a x^{5} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{5} - b} + \sqrt{b}\right)}{b^{\frac{1}{4}}}\right)} a - \frac{{\left(a x^{5} - b\right)}^{\frac{3}{4}}}{5 \, x^{5}}"," ",0,"3/40*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4) + 2*(a*x^5 - b)^(1/4))/b^(1/4))/b^(1/4) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4) - 2*(a*x^5 - b)^(1/4))/b^(1/4))/b^(1/4) - sqrt(2)*log(sqrt(2)*(a*x^5 - b)^(1/4)*b^(1/4) + sqrt(a*x^5 - b) + sqrt(b))/b^(1/4) + sqrt(2)*log(-sqrt(2)*(a*x^5 - b)^(1/4)*b^(1/4) + sqrt(a*x^5 - b) + sqrt(b))/b^(1/4))*a - 1/5*(a*x^5 - b)^(3/4)/x^5","A",0
2077,1,181,0,0.513879," ","integrate((a*x^6-b)^(3/4)/x^7,x, algorithm=""maxima"")","\frac{1}{16} \, {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} + 2 \, {\left(a x^{6} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{1}{4}}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} - 2 \, {\left(a x^{6} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{1}{4}}} - \frac{\sqrt{2} \log\left(\sqrt{2} {\left(a x^{6} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{6} - b} + \sqrt{b}\right)}{b^{\frac{1}{4}}} + \frac{\sqrt{2} \log\left(-\sqrt{2} {\left(a x^{6} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{6} - b} + \sqrt{b}\right)}{b^{\frac{1}{4}}}\right)} a - \frac{{\left(a x^{6} - b\right)}^{\frac{3}{4}}}{6 \, x^{6}}"," ",0,"1/16*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4) + 2*(a*x^6 - b)^(1/4))/b^(1/4))/b^(1/4) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4) - 2*(a*x^6 - b)^(1/4))/b^(1/4))/b^(1/4) - sqrt(2)*log(sqrt(2)*(a*x^6 - b)^(1/4)*b^(1/4) + sqrt(a*x^6 - b) + sqrt(b))/b^(1/4) + sqrt(2)*log(-sqrt(2)*(a*x^6 - b)^(1/4)*b^(1/4) + sqrt(a*x^6 - b) + sqrt(b))/b^(1/4))*a - 1/6*(a*x^6 - b)^(3/4)/x^6","A",0
2078,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(-x^{8} + 2 \, x^{3} - 2 \, x\right)}^{\frac{1}{3}} {\left(5 \, x^{7} - 4\right)}}{{\left(x^{7} - 2 \, x^{2} + 2\right)} {\left(x^{7} + 2\right)}}\,{d x}"," ",0,"integrate((-x^8 + 2*x^3 - 2*x)^(1/3)*(5*x^7 - 4)/((x^7 - 2*x^2 + 2)*(x^7 + 2)), x)","F",0
2079,0,0,0,0.000000," ","integrate((2*x^8-2*a*x^4+b)/(a*x^4+b)^(1/4)/(x^8-a*x^4-2*b),x, algorithm=""maxima"")","\int \frac{2 \, x^{8} - 2 \, a x^{4} + b}{{\left(x^{8} - a x^{4} - 2 \, b\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((2*x^8 - 2*a*x^4 + b)/((x^8 - a*x^4 - 2*b)*(a*x^4 + b)^(1/4)), x)","F",0
2080,0,0,0,0.000000," ","integrate((2*x^8+2*a*x^4-b)/(a*x^4+b)^(1/4)/(x^8+a*x^4-b),x, algorithm=""maxima"")","\int \frac{2 \, x^{8} + 2 \, a x^{4} - b}{{\left(x^{8} + a x^{4} - b\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((2*x^8 + 2*a*x^4 - b)/((x^8 + a*x^4 - b)*(a*x^4 + b)^(1/4)), x)","F",0
2081,0,0,0,0.000000," ","integrate((2*x^8+2*a*x^4-b)/(a*x^4+b)^(1/4)/(x^8+a*x^4-b),x, algorithm=""maxima"")","\int \frac{2 \, x^{8} + 2 \, a x^{4} - b}{{\left(x^{8} + a x^{4} - b\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((2*x^8 + 2*a*x^4 - b)/((x^8 + a*x^4 - b)*(a*x^4 + b)^(1/4)), x)","F",0
2082,0,0,0,0.000000," ","integrate((a^4*x^4-b^4)^(1/2)*(a^4*x^4+b^4)/(a^8*x^8+b^8),x, algorithm=""maxima"")","\int \frac{{\left(a^{4} x^{4} + b^{4}\right)} \sqrt{a^{4} x^{4} - b^{4}}}{a^{8} x^{8} + b^{8}}\,{d x}"," ",0,"integrate((a^4*x^4 + b^4)*sqrt(a^4*x^4 - b^4)/(a^8*x^8 + b^8), x)","F",0
2083,0,0,0,0.000000," ","integrate((a^8*x^8-b^8)/(a^4*x^4-b^4)^(1/2)/(a^8*x^8+b^8),x, algorithm=""maxima"")","\int \frac{a^{8} x^{8} - b^{8}}{{\left(a^{8} x^{8} + b^{8}\right)} \sqrt{a^{4} x^{4} - b^{4}}}\,{d x}"," ",0,"integrate((a^8*x^8 - b^8)/((a^8*x^8 + b^8)*sqrt(a^4*x^4 - b^4)), x)","F",0
2084,0,0,0,0.000000," ","integrate(x^3*(x^2+x)^(1/2)/(x^2+x*(x^2+x)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{2} + x} x^{3}}{\sqrt{x^{2} + \sqrt{x^{2} + x} x}}\,{d x}"," ",0,"integrate(sqrt(x^2 + x)*x^3/sqrt(x^2 + sqrt(x^2 + x)*x), x)","F",0
2085,1,195,0,0.409561," ","integrate((a*x^2-b)^(3/4)*(2*a*x^2+3*b)/x,x, algorithm=""maxima"")","-\frac{1}{4} \, {\left(3 \, {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} + 2 \, {\left(a x^{2} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{1}{4}}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} - 2 \, {\left(a x^{2} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{1}{4}}} - \frac{\sqrt{2} \log\left(\sqrt{2} {\left(a x^{2} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{2} - b} + \sqrt{b}\right)}{b^{\frac{1}{4}}} + \frac{\sqrt{2} \log\left(-\sqrt{2} {\left(a x^{2} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{2} - b} + \sqrt{b}\right)}{b^{\frac{1}{4}}}\right)} b - 8 \, {\left(a x^{2} - b\right)}^{\frac{3}{4}}\right)} b + \frac{4}{7} \, {\left(a x^{2} - b\right)}^{\frac{7}{4}}"," ",0,"-1/4*(3*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4) + 2*(a*x^2 - b)^(1/4))/b^(1/4))/b^(1/4) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4) - 2*(a*x^2 - b)^(1/4))/b^(1/4))/b^(1/4) - sqrt(2)*log(sqrt(2)*(a*x^2 - b)^(1/4)*b^(1/4) + sqrt(a*x^2 - b) + sqrt(b))/b^(1/4) + sqrt(2)*log(-sqrt(2)*(a*x^2 - b)^(1/4)*b^(1/4) + sqrt(a*x^2 - b) + sqrt(b))/b^(1/4))*b - 8*(a*x^2 - b)^(3/4))*b + 4/7*(a*x^2 - b)^(7/4)","A",0
2086,0,0,0,0.000000," ","integrate((x^2-6)*(x^3-x^2+2)^(2/3)/x^3/(x^3+x^2-2),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} - x^{2} + 2\right)}^{\frac{2}{3}} {\left(x^{2} - 6\right)}}{{\left(x^{3} + x^{2} - 2\right)} x^{3}}\,{d x}"," ",0,"integrate((x^3 - x^2 + 2)^(2/3)*(x^2 - 6)/((x^3 + x^2 - 2)*x^3), x)","F",0
2087,0,0,0,0.000000," ","integrate(x^3*(-4*a+3*x)/(x^2*(-a+x))^(2/3)/(x^4+a*d-d*x),x, algorithm=""maxima"")","-\int \frac{{\left(4 \, a - 3 \, x\right)} x^{3}}{{\left(x^{4} + a d - d x\right)} \left(-{\left(a - x\right)} x^{2}\right)^{\frac{2}{3}}}\,{d x}"," ",0,"-integrate((4*a - 3*x)*x^3/((x^4 + a*d - d*x)*(-(a - x)*x^2)^(2/3)), x)","F",0
2088,0,0,0,0.000000," ","integrate((k^4*x^4-1)/((1-x)*x*(-k^2*x+1))^(1/2)/(k^4*x^4+1),x, algorithm=""maxima"")","\int \frac{k^{4} x^{4} - 1}{{\left(k^{4} x^{4} + 1\right)} \sqrt{{\left(k^{2} x - 1\right)} {\left(x - 1\right)} x}}\,{d x}"," ",0,"integrate((k^4*x^4 - 1)/((k^4*x^4 + 1)*sqrt((k^2*x - 1)*(x - 1)*x)), x)","F",0
2089,0,0,0,0.000000," ","integrate((-x^4+1)/(x^4+1)/(x^5+x^3)^(1/4),x, algorithm=""maxima"")","-\int \frac{x^{4} - 1}{{\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(x^{4} + 1\right)}}\,{d x}"," ",0,"-integrate((x^4 - 1)/((x^5 + x^3)^(1/4)*(x^4 + 1)), x)","F",0
2090,0,0,0,0.000000," ","integrate((x^3+1)^(2/3)*(x^6+2)/x^6/(x^3-1)^2,x, algorithm=""maxima"")","\int \frac{{\left(x^{6} + 2\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{{\left(x^{3} - 1\right)}^{2} x^{6}}\,{d x}"," ",0,"integrate((x^6 + 2)*(x^3 + 1)^(2/3)/((x^3 - 1)^2*x^6), x)","F",0
2091,0,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(x^6+2*x^3-2)/x^6/(x^3+1)^2,x, algorithm=""maxima"")","\int \frac{{\left(x^{6} + 2 \, x^{3} - 2\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{{\left(x^{3} + 1\right)}^{2} x^{6}}\,{d x}"," ",0,"integrate((x^6 + 2*x^3 - 2)*(x^3 - 1)^(2/3)/((x^3 + 1)^2*x^6), x)","F",0
2092,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a x^{6} - c x^{4} - b\right)} {\left(a x^{6} + 2 \, b\right)}}{{\left(a x^{6} + c x^{4} - b\right)} {\left(a x^{6} - b\right)}^{\frac{3}{4}} x^{2}}\,{d x}"," ",0,"integrate((a*x^6 - c*x^4 - b)*(a*x^6 + 2*b)/((a*x^6 + c*x^4 - b)*(a*x^6 - b)^(3/4)*x^2), x)","F",0
2093,0,0,0,0.000000," ","integrate((c+d*(a*x^2+b)^(1/2))^(1/2)/x,x, algorithm=""maxima"")","\int \frac{\sqrt{\sqrt{a x^{2} + b} d + c}}{x}\,{d x}"," ",0,"integrate(sqrt(sqrt(a*x^2 + b)*d + c)/x, x)","F",0
2094,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a^{2} x^{4} - b\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}{\sqrt{a^{2} x^{4} + b}}\,{d x}"," ",0,"integrate((a^2*x^4 - b)*sqrt(a*x^2 + sqrt(a^2*x^4 + b))/sqrt(a^2*x^4 + b), x)","F",0
2095,0,0,0,0.000000," ","integrate((a^2*x^4+b)^(1/2)*(a*x^2+(a^2*x^4+b)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{a^{2} x^{4} + b} \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}\,{d x}"," ",0,"integrate(sqrt(a^2*x^4 + b)*sqrt(a*x^2 + sqrt(a^2*x^4 + b)), x)","F",0
2096,0,0,0,0.000000," ","integrate(1/(a*x+2*b)/(a*x^3+b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(a x^{3} + b x^{2}\right)}^{\frac{1}{4}} {\left(a x + 2 \, b\right)}}\,{d x}"," ",0,"integrate(1/((a*x^3 + b*x^2)^(1/4)*(a*x + 2*b)), x)","F",0
2097,0,0,0,0.000000," ","integrate(x*(-4*a+3*x)/(x^2*(-a+x))^(1/3)/(x^4+a*d-d*x),x, algorithm=""maxima"")","-\int \frac{{\left(4 \, a - 3 \, x\right)} x}{{\left(x^{4} + a d - d x\right)} \left(-{\left(a - x\right)} x^{2}\right)^{\frac{1}{3}}}\,{d x}"," ",0,"-integrate((4*a - 3*x)*x/((x^4 + a*d - d*x)*(-(a - x)*x^2)^(1/3)), x)","F",0
2098,0,0,0,0.000000," ","integrate((a*x^5-b)^(3/4)*(a*x^5+4*b)/x^4/(a*x^5+c*x^4-b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{5} + 4 \, b\right)} {\left(a x^{5} - b\right)}^{\frac{3}{4}}}{{\left(a x^{5} + c x^{4} - b\right)} x^{4}}\,{d x}"," ",0,"integrate((a*x^5 + 4*b)*(a*x^5 - b)^(3/4)/((a*x^5 + c*x^4 - b)*x^4), x)","F",0
2099,0,0,0,0.000000," ","integrate((x^8+1)^(3/4)/(x^8-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{8} + 1\right)}^{\frac{3}{4}}}{x^{8} - 1}\,{d x}"," ",0,"integrate((x^8 + 1)^(3/4)/(x^8 - 1), x)","F",0
2100,0,0,0,0.000000," ","integrate(x^4/(x^4-1)^(1/4)/(x^8+2*x^4-1),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(x^{8} + 2 \, x^{4} - 1\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(x^4/((x^8 + 2*x^4 - 1)*(x^4 - 1)^(1/4)), x)","F",0
2101,0,0,0,0.000000," ","integrate((x^4-1)^(3/4)/(x^8+2*x^4-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - 1\right)}^{\frac{3}{4}}}{x^{8} + 2 \, x^{4} - 1}\,{d x}"," ",0,"integrate((x^4 - 1)^(3/4)/(x^8 + 2*x^4 - 1), x)","F",0
2102,0,0,0,0.000000," ","integrate((x^4+1)/(x^4-1)/(1+(x^2+1)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{x^{4} + 1}{{\left(x^{4} - 1\right)} \sqrt{\sqrt{x^{2} + 1} + 1}}\,{d x}"," ",0,"integrate((x^4 + 1)/((x^4 - 1)*sqrt(sqrt(x^2 + 1) + 1)), x)","F",0
2103,1,202,0,0.506983," ","integrate(1/x^3/(a*x^2-b)^(3/4),x, algorithm=""maxima"")","\frac{{\left(a x^{2} - b\right)}^{\frac{1}{4}} a}{2 \, {\left({\left(a x^{2} - b\right)} b + b^{2}\right)}} + \frac{3 \, {\left(\frac{2 \, \sqrt{2} a \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} + 2 \, {\left(a x^{2} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{3}{4}}} + \frac{2 \, \sqrt{2} a \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} - 2 \, {\left(a x^{2} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{3}{4}}} + \frac{\sqrt{2} a \log\left(\sqrt{2} {\left(a x^{2} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{2} - b} + \sqrt{b}\right)}{b^{\frac{3}{4}}} - \frac{\sqrt{2} a \log\left(-\sqrt{2} {\left(a x^{2} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{2} - b} + \sqrt{b}\right)}{b^{\frac{3}{4}}}\right)}}{16 \, b}"," ",0,"1/2*(a*x^2 - b)^(1/4)*a/((a*x^2 - b)*b + b^2) + 3/16*(2*sqrt(2)*a*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4) + 2*(a*x^2 - b)^(1/4))/b^(1/4))/b^(3/4) + 2*sqrt(2)*a*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4) - 2*(a*x^2 - b)^(1/4))/b^(1/4))/b^(3/4) + sqrt(2)*a*log(sqrt(2)*(a*x^2 - b)^(1/4)*b^(1/4) + sqrt(a*x^2 - b) + sqrt(b))/b^(3/4) - sqrt(2)*a*log(-sqrt(2)*(a*x^2 - b)^(1/4)*b^(1/4) + sqrt(a*x^2 - b) + sqrt(b))/b^(3/4))/b","A",0
2104,0,0,0,0.000000," ","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=""maxima"")","\int \frac{a b - 2 \, b x + x^{2}}{\left({\left(a - x\right)} {\left(b - x\right)}^{3} x\right)^{\frac{1}{4}} {\left(d x^{2} - {\left(a d + 1\right)} x + b\right)}}\,{d x}"," ",0,"integrate((a*b - 2*b*x + x^2)/(((a - x)*(b - x)^3*x)^(1/4)*(d*x^2 - (a*d + 1)*x + b)), x)","F",0
2105,1,202,0,0.402653," ","integrate(1/x^4/(a*x^3-b)^(3/4),x, algorithm=""maxima"")","\frac{{\left(a x^{3} - b\right)}^{\frac{1}{4}} a}{3 \, {\left({\left(a x^{3} - b\right)} b + b^{2}\right)}} + \frac{\frac{2 \, \sqrt{2} a \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} + 2 \, {\left(a x^{3} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{3}{4}}} + \frac{2 \, \sqrt{2} a \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} - 2 \, {\left(a x^{3} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{3}{4}}} + \frac{\sqrt{2} a \log\left(\sqrt{2} {\left(a x^{3} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{3} - b} + \sqrt{b}\right)}{b^{\frac{3}{4}}} - \frac{\sqrt{2} a \log\left(-\sqrt{2} {\left(a x^{3} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{3} - b} + \sqrt{b}\right)}{b^{\frac{3}{4}}}}{8 \, b}"," ",0,"1/3*(a*x^3 - b)^(1/4)*a/((a*x^3 - b)*b + b^2) + 1/8*(2*sqrt(2)*a*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4) + 2*(a*x^3 - b)^(1/4))/b^(1/4))/b^(3/4) + 2*sqrt(2)*a*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4) - 2*(a*x^3 - b)^(1/4))/b^(1/4))/b^(3/4) + sqrt(2)*a*log(sqrt(2)*(a*x^3 - b)^(1/4)*b^(1/4) + sqrt(a*x^3 - b) + sqrt(b))/b^(3/4) - sqrt(2)*a*log(-sqrt(2)*(a*x^3 - b)^(1/4)*b^(1/4) + sqrt(a*x^3 - b) + sqrt(b))/b^(3/4))/b","A",0
2106,1,199,0,0.410173," ","integrate(1/x^4/(a*x^3-b)^(1/4),x, algorithm=""maxima"")","\frac{{\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} + 2 \, {\left(a x^{3} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{1}{4}}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} - 2 \, {\left(a x^{3} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{1}{4}}} - \frac{\sqrt{2} \log\left(\sqrt{2} {\left(a x^{3} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{3} - b} + \sqrt{b}\right)}{b^{\frac{1}{4}}} + \frac{\sqrt{2} \log\left(-\sqrt{2} {\left(a x^{3} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{3} - b} + \sqrt{b}\right)}{b^{\frac{1}{4}}}\right)} a}{24 \, b} + \frac{{\left(a x^{3} - b\right)}^{\frac{3}{4}} a}{3 \, {\left({\left(a x^{3} - b\right)} b + b^{2}\right)}}"," ",0,"1/24*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4) + 2*(a*x^3 - b)^(1/4))/b^(1/4))/b^(1/4) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4) - 2*(a*x^3 - b)^(1/4))/b^(1/4))/b^(1/4) - sqrt(2)*log(sqrt(2)*(a*x^3 - b)^(1/4)*b^(1/4) + sqrt(a*x^3 - b) + sqrt(b))/b^(1/4) + sqrt(2)*log(-sqrt(2)*(a*x^3 - b)^(1/4)*b^(1/4) + sqrt(a*x^3 - b) + sqrt(b))/b^(1/4))*a/b + 1/3*(a*x^3 - b)^(3/4)*a/((a*x^3 - b)*b + b^2)","A",0
2107,0,0,0,0.000000," ","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=""maxima"")","\frac{1}{2} \, \int \frac{{\left(x^{2} - x - 1\right)} {\left(x + 2\right)} \left(-\frac{2 \, x^{2} - x - 1}{4 \, x^{2} + x + 1}\right)^{\frac{1}{4}}}{{\left(x^{4} + x^{2} + 2 \, x + 1\right)} x}\,{d x}"," ",0,"1/2*integrate((x^2 - x - 1)*(x + 2)*(-(2*x^2 - x - 1)/(4*x^2 + x + 1))^(1/4)/((x^4 + x^2 + 2*x + 1)*x), x)","F",0
2108,0,0,0,0.000000," ","integrate((x^4+1)/(x^4-1)/(x^4+x^3-x^2-x+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{4} + 1}{\sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(x^{4} - 1\right)}}\,{d x}"," ",0,"integrate((x^4 + 1)/(sqrt(x^4 + x^3 - x^2 - x + 1)*(x^4 - 1)), x)","F",0
2109,1,202,0,0.639852," ","integrate(1/x^5/(a*x^4-b)^(3/4),x, algorithm=""maxima"")","\frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}} a}{4 \, {\left({\left(a x^{4} - b\right)} b + b^{2}\right)}} + \frac{3 \, {\left(\frac{2 \, \sqrt{2} a \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} + 2 \, {\left(a x^{4} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{3}{4}}} + \frac{2 \, \sqrt{2} a \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} - 2 \, {\left(a x^{4} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{3}{4}}} + \frac{\sqrt{2} a \log\left(\sqrt{2} {\left(a x^{4} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{4} - b} + \sqrt{b}\right)}{b^{\frac{3}{4}}} - \frac{\sqrt{2} a \log\left(-\sqrt{2} {\left(a x^{4} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{4} - b} + \sqrt{b}\right)}{b^{\frac{3}{4}}}\right)}}{32 \, b}"," ",0,"1/4*(a*x^4 - b)^(1/4)*a/((a*x^4 - b)*b + b^2) + 3/32*(2*sqrt(2)*a*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4) + 2*(a*x^4 - b)^(1/4))/b^(1/4))/b^(3/4) + 2*sqrt(2)*a*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4) - 2*(a*x^4 - b)^(1/4))/b^(1/4))/b^(3/4) + sqrt(2)*a*log(sqrt(2)*(a*x^4 - b)^(1/4)*b^(1/4) + sqrt(a*x^4 - b) + sqrt(b))/b^(3/4) - sqrt(2)*a*log(-sqrt(2)*(a*x^4 - b)^(1/4)*b^(1/4) + sqrt(a*x^4 - b) + sqrt(b))/b^(3/4))/b","A",0
2110,0,0,0,0.000000," ","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=""maxima"")","\int \frac{a b^{3} - 2 \, {\left(3 \, a - b\right)} b^{2} x + 3 \, {\left(3 \, a - b\right)} b x^{2} - 4 \, a x^{3} + x^{4}}{\left({\left(a - x\right)} {\left(b - x\right)}^{3} x\right)^{\frac{1}{4}} {\left(d x^{4} - {\left(3 \, b d + 1\right)} x^{3} + a^{3} + 3 \, {\left(b^{2} d + a\right)} x^{2} - {\left(b^{3} d + 3 \, a^{2}\right)} x\right)}}\,{d x}"," ",0,"integrate((a*b^3 - 2*(3*a - b)*b^2*x + 3*(3*a - b)*b*x^2 - 4*a*x^3 + x^4)/(((a - x)*(b - x)^3*x)^(1/4)*(d*x^4 - (3*b*d + 1)*x^3 + a^3 + 3*(b^2*d + a)*x^2 - (b^3*d + 3*a^2)*x)), x)","F",0
2111,1,202,0,0.582231," ","integrate(1/x^6/(a*x^5-b)^(3/4),x, algorithm=""maxima"")","\frac{{\left(a x^{5} - b\right)}^{\frac{1}{4}} a}{5 \, {\left({\left(a x^{5} - b\right)} b + b^{2}\right)}} + \frac{3 \, {\left(\frac{2 \, \sqrt{2} a \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} + 2 \, {\left(a x^{5} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{3}{4}}} + \frac{2 \, \sqrt{2} a \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} - 2 \, {\left(a x^{5} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{3}{4}}} + \frac{\sqrt{2} a \log\left(\sqrt{2} {\left(a x^{5} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{5} - b} + \sqrt{b}\right)}{b^{\frac{3}{4}}} - \frac{\sqrt{2} a \log\left(-\sqrt{2} {\left(a x^{5} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{5} - b} + \sqrt{b}\right)}{b^{\frac{3}{4}}}\right)}}{40 \, b}"," ",0,"1/5*(a*x^5 - b)^(1/4)*a/((a*x^5 - b)*b + b^2) + 3/40*(2*sqrt(2)*a*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4) + 2*(a*x^5 - b)^(1/4))/b^(1/4))/b^(3/4) + 2*sqrt(2)*a*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4) - 2*(a*x^5 - b)^(1/4))/b^(1/4))/b^(3/4) + sqrt(2)*a*log(sqrt(2)*(a*x^5 - b)^(1/4)*b^(1/4) + sqrt(a*x^5 - b) + sqrt(b))/b^(3/4) - sqrt(2)*a*log(-sqrt(2)*(a*x^5 - b)^(1/4)*b^(1/4) + sqrt(a*x^5 - b) + sqrt(b))/b^(3/4))/b","A",0
2112,1,202,0,0.425776," ","integrate(1/x^7/(a*x^6-b)^(3/4),x, algorithm=""maxima"")","\frac{{\left(a x^{6} - b\right)}^{\frac{1}{4}} a}{6 \, {\left({\left(a x^{6} - b\right)} b + b^{2}\right)}} + \frac{\frac{2 \, \sqrt{2} a \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} + 2 \, {\left(a x^{6} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{3}{4}}} + \frac{2 \, \sqrt{2} a \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} - 2 \, {\left(a x^{6} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{3}{4}}} + \frac{\sqrt{2} a \log\left(\sqrt{2} {\left(a x^{6} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{6} - b} + \sqrt{b}\right)}{b^{\frac{3}{4}}} - \frac{\sqrt{2} a \log\left(-\sqrt{2} {\left(a x^{6} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{6} - b} + \sqrt{b}\right)}{b^{\frac{3}{4}}}}{16 \, b}"," ",0,"1/6*(a*x^6 - b)^(1/4)*a/((a*x^6 - b)*b + b^2) + 1/16*(2*sqrt(2)*a*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4) + 2*(a*x^6 - b)^(1/4))/b^(1/4))/b^(3/4) + 2*sqrt(2)*a*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4) - 2*(a*x^6 - b)^(1/4))/b^(1/4))/b^(3/4) + sqrt(2)*a*log(sqrt(2)*(a*x^6 - b)^(1/4)*b^(1/4) + sqrt(a*x^6 - b) + sqrt(b))/b^(3/4) - sqrt(2)*a*log(-sqrt(2)*(a*x^6 - b)^(1/4)*b^(1/4) + sqrt(a*x^6 - b) + sqrt(b))/b^(3/4))/b","A",0
2113,0,0,0,0.000000," ","integrate((a^6*x^6+b^6)/(a^4*x^4+b^4)^(1/2)/(a^6*x^6-b^6),x, algorithm=""maxima"")","\int \frac{a^{6} x^{6} + b^{6}}{{\left(a^{6} x^{6} - b^{6}\right)} \sqrt{a^{4} x^{4} + b^{4}}}\,{d x}"," ",0,"integrate((a^6*x^6 + b^6)/((a^6*x^6 - b^6)*sqrt(a^4*x^4 + b^4)), x)","F",0
2114,0,0,0,0.000000," ","integrate((x^2-1)^(1/2)*(x^2+x*(x^2-1)^(1/2))^(1/2)/(1+x),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{2} + \sqrt{x^{2} - 1} x} \sqrt{x^{2} - 1}}{x + 1}\,{d x}"," ",0,"integrate(sqrt(x^2 + sqrt(x^2 - 1)*x)*sqrt(x^2 - 1)/(x + 1), x)","F",0
2115,0,0,0,0.000000," ","integrate((x^4+1)*(1+(x^2+1)^(1/2))^(1/2)/(x^4-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + 1\right)} \sqrt{\sqrt{x^{2} + 1} + 1}}{x^{4} - 1}\,{d x}"," ",0,"integrate((x^4 + 1)*sqrt(sqrt(x^2 + 1) + 1)/(x^4 - 1), x)","F",0
2116,0,0,0,0.000000," ","integrate((a*x^2-b^2)/(a*x^2+b^2)/(b+(a*x^2+b^2)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{a x^{2} - b^{2}}{{\left(a x^{2} + b^{2}\right)} \sqrt{b + \sqrt{a x^{2} + b^{2}}}}\,{d x}"," ",0,"integrate((a*x^2 - b^2)/((a*x^2 + b^2)*sqrt(b + sqrt(a*x^2 + b^2))), x)","F",0
2117,0,0,0,0.000000," ","integrate(x/(1+(x+(x^2+1)^(1/2))^(1/2)),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\,{d x}"," ",0,"integrate(x/(sqrt(x + sqrt(x^2 + 1)) + 1), x)","F",0
2118,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(k + 1\right)} x^{2} - 2 \, x}{{\left(b {\left(k + 1\right)} x - {\left(b k - 1\right)} x^{2} - b\right)} \left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{2}{3}}}\,{d x}"," ",0,"-integrate(((k + 1)*x^2 - 2*x)/((b*(k + 1)*x - (b*k - 1)*x^2 - b)*((k*x - 1)*(x - 1)*x)^(2/3)), x)","F",0
2119,0,0,0,0.000000," ","integrate((a*x^2-b)*(a*x^3-b*x)^(1/2)/x^2/(a*x^2+b),x, algorithm=""maxima"")","\int \frac{\sqrt{a x^{3} - b x} {\left(a x^{2} - b\right)}}{{\left(a x^{2} + b\right)} x^{2}}\,{d x}"," ",0,"integrate(sqrt(a*x^3 - b*x)*(a*x^2 - b)/((a*x^2 + b)*x^2), x)","F",0
2120,0,0,0,0.000000," ","integrate((x^4-x^3)^(1/4)/x/(x^3+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{{\left(x^{3} + 1\right)} x}\,{d x}"," ",0,"integrate((x^4 - x^3)^(1/4)/((x^3 + 1)*x), x)","F",0
2121,0,0,0,0.000000," ","integrate((x^4-x^3)^(1/4)/x/(x^3+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{{\left(x^{3} + 1\right)} x}\,{d x}"," ",0,"integrate((x^4 - x^3)^(1/4)/((x^3 + 1)*x), x)","F",0
2122,0,0,0,0.000000," ","integrate((x^4-3)*(x^4-x^3+1)^(2/3)/x^3/(x^4+x^3+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - x^{3} + 1\right)}^{\frac{2}{3}} {\left(x^{4} - 3\right)}}{{\left(x^{4} + x^{3} + 1\right)} x^{3}}\,{d x}"," ",0,"integrate((x^4 - x^3 + 1)^(2/3)*(x^4 - 3)/((x^4 + x^3 + 1)*x^3), x)","F",0
2123,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a x^{5} + b\right)}^{\frac{3}{4}} {\left(a x^{5} - 4 \, b\right)}}{{\left(2 \, a x^{5} + c x^{4} + 2 \, b\right)} x^{4}}\,{d x}"," ",0,"integrate((a*x^5 + b)^(3/4)*(a*x^5 - 4*b)/((2*a*x^5 + c*x^4 + 2*b)*x^4), x)","F",0
2124,0,0,0,0.000000," ","integrate((x^6-1)/(x^4+x^2)^(1/3)/(x^6+1),x, algorithm=""maxima"")","\int \frac{x^{6} - 1}{{\left(x^{6} + 1\right)} {\left(x^{4} + x^{2}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((x^6 - 1)/((x^6 + 1)*(x^4 + x^2)^(1/3)), x)","F",0
2125,0,0,0,0.000000," ","integrate((3*x^4+2)^(1/4)*(x^8+6*x^4+4)/x^6/(x^4+1)/(2*x^4+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{8} + 6 \, x^{4} + 4\right)} {\left(3 \, x^{4} + 2\right)}^{\frac{1}{4}}}{{\left(2 \, x^{4} + 1\right)} {\left(x^{4} + 1\right)} x^{6}}\,{d x}"," ",0,"integrate((x^8 + 6*x^4 + 4)*(3*x^4 + 2)^(1/4)/((2*x^4 + 1)*(x^4 + 1)*x^6), x)","F",0
2126,0,0,0,0.000000," ","integrate((x^8-16*x^6+96*x^4-256*x^2+256)^(1/8)/(x^3-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{8} - 16 \, x^{6} + 96 \, x^{4} - 256 \, x^{2} + 256\right)}^{\frac{1}{8}}}{x^{3} - 1}\,{d x}"," ",0,"integrate((x^8 - 16*x^6 + 96*x^4 - 256*x^2 + 256)^(1/8)/(x^3 - 1), x)","F",0
2127,0,0,0,0.000000," ","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=""maxima"")","\int \frac{x^{6} + 6 \, x^{3} - 6 \, x^{2} - 36}{{\left(x^{8} - 6 \, x^{7} + 15 \, x^{6} - 26 \, x^{5} + 51 \, x^{4} - 96 \, x^{3} + 122 \, x^{2} - 90 \, x + 36\right)} {\left(x^{3} - 6\right)} x \left(\frac{x^{3} + 6}{x^{3} - 6}\right)^{\frac{1}{6}}}\,{d x}"," ",0,"integrate((x^6 + 6*x^3 - 6*x^2 - 36)/((x^8 - 6*x^7 + 15*x^6 - 26*x^5 + 51*x^4 - 96*x^3 + 122*x^2 - 90*x + 36)*(x^3 - 6)*x*((x^3 + 6)/(x^3 - 6))^(1/6)), x)","F",0
2128,0,0,0,0.000000," ","integrate((2*x^8-a*x^4+2*b)/(a*x^4+b)^(1/4)/(x^8+a*x^4-2*b),x, algorithm=""maxima"")","\int \frac{2 \, x^{8} - a x^{4} + 2 \, b}{{\left(x^{8} + a x^{4} - 2 \, b\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((2*x^8 - a*x^4 + 2*b)/((x^8 + a*x^4 - 2*b)*(a*x^4 + b)^(1/4)), x)","F",0
2129,0,0,0,0.000000," ","integrate((2*x^8-a*x^4+2*b)/(a*x^4+b)^(1/4)/(x^8+a*x^4-2*b),x, algorithm=""maxima"")","\int \frac{2 \, x^{8} - a x^{4} + 2 \, b}{{\left(x^{8} + a x^{4} - 2 \, b\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((2*x^8 - a*x^4 + 2*b)/((x^8 + a*x^4 - 2*b)*(a*x^4 + b)^(1/4)), x)","F",0
2130,0,0,0,0.000000," ","integrate((a*x^8-b)/(a*x^8+b)/(a*x^8-c*x^4+b)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{8} - b}{{\left(a x^{8} - c x^{4} + b\right)}^{\frac{1}{4}} {\left(a x^{8} + b\right)}}\,{d x}"," ",0,"integrate((a*x^8 - b)/((a*x^8 - c*x^4 + b)^(1/4)*(a*x^8 + b)), x)","F",0
2131,0,0,0,0.000000," ","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=""maxima"")","\int \frac{1}{\sqrt{a^{2} x^{2} - b x} {\left(a x^{2} + \sqrt{a^{2} x^{2} - b x} x\right)}^{\frac{3}{2}} x^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(a^2*x^2 - b*x)*(a*x^2 + sqrt(a^2*x^2 - b*x)*x)^(3/2)*x^2), x)","F",0
2132,0,0,0,0.000000," ","integrate((1+(x^2+1)^(1/2))/(1+(x+(x^2+1)^(1/2))^(1/2)),x, algorithm=""maxima"")","\frac{1}{2} \, x + \frac{1}{2} \, \int \sqrt{x^{2} + 1}\,{d x} - \int \frac{x^{2} + \sqrt{x^{2} + 1} x + x}{2 \, {\left(x + \sqrt{x^{2} + 1} + 2 \, \sqrt{x + \sqrt{x^{2} + 1}} + 1\right)}}\,{d x}"," ",0,"1/2*x + 1/2*integrate(sqrt(x^2 + 1), x) - integrate(1/2*(x^2 + sqrt(x^2 + 1)*x + x)/(x + sqrt(x^2 + 1) + 2*sqrt(x + sqrt(x^2 + 1)) + 1), x)","F",0
2133,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(k + 1\right)} x - 2}{{\left(b {\left(k + 1\right)} x - {\left(b k - 1\right)} x^{2} - b\right)} \left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{1}{3}}}\,{d x}"," ",0,"-integrate(((k + 1)*x - 2)/((b*(k + 1)*x - (b*k - 1)*x^2 - b)*((k*x - 1)*(x - 1)*x)^(1/3)), x)","F",0
2134,0,0,0,0.000000," ","integrate((a*x^4-b)^(1/4)*(a*x^8-8*b)/x^10/(a*x^4+b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{8} - 8 \, b\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{{\left(a x^{4} + b\right)} x^{10}}\,{d x}"," ",0,"integrate((a*x^8 - 8*b)*(a*x^4 - b)^(1/4)/((a*x^4 + b)*x^10), x)","F",0
2135,0,0,0,0.000000," ","integrate(x/(x+(x+(1+x)^(1/2))^(1/2)),x, algorithm=""maxima"")","\int \frac{x}{x + \sqrt{x + \sqrt{x + 1}}}\,{d x}"," ",0,"integrate(x/(x + sqrt(x + sqrt(x + 1))), x)","F",0
2136,0,0,0,0.000000," ","integrate(x/(x+(x+(1+x)^(1/2))^(1/2)),x, algorithm=""maxima"")","\int \frac{x}{x + \sqrt{x + \sqrt{x + 1}}}\,{d x}"," ",0,"integrate(x/(x + sqrt(x + sqrt(x + 1))), x)","F",0
2137,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(2 \, x^{3} + x^{2} - 2\right)}^{\frac{1}{3}} {\left(x^{3} - x^{2} + 2\right)} {\left(x^{2} - 2\right)} {\left(x^{2} - 6\right)}}{{\left(x^{3} + x^{2} - 2\right)}^{2} x^{5}}\,{d x}"," ",0,"integrate((2*x^3 + x^2 - 2)^(1/3)*(x^3 - x^2 + 2)*(x^2 - 2)*(x^2 - 6)/((x^3 + x^2 - 2)^2*x^5), x)","F",0
2138,0,0,0,0.000000," ","integrate((-1+x)*(x^4-x^3)^(1/4)/x/(x^3+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(x - 1\right)}}{{\left(x^{3} + 1\right)} x}\,{d x}"," ",0,"integrate((x^4 - x^3)^(1/4)*(x - 1)/((x^3 + 1)*x), x)","F",0
2139,0,0,0,0.000000," ","integrate((-1+x)*(x^4-x^3)^(1/4)/x/(x^3+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(x - 1\right)}}{{\left(x^{3} + 1\right)} x}\,{d x}"," ",0,"integrate((x^4 - x^3)^(1/4)*(x - 1)/((x^3 + 1)*x), x)","F",0
2140,0,0,0,0.000000," ","integrate((1+x)*(x^5+x^3)^(1/4)/x/(x^3-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(x + 1\right)}}{{\left(x^{3} - 1\right)} x}\,{d x}"," ",0,"integrate((x^5 + x^3)^(1/4)*(x + 1)/((x^3 - 1)*x), x)","F",0
2141,0,0,0,0.000000," ","integrate(x^3/(a*x^3-b*x^2)^(1/3)/(a^2*x^6-b^2),x, algorithm=""maxima"")","\int \frac{x^{3}}{{\left(a^{2} x^{6} - b^{2}\right)} {\left(a x^{3} - b x^{2}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(x^3/((a^2*x^6 - b^2)*(a*x^3 - b*x^2)^(1/3)), x)","F",0
2142,0,0,0,0.000000," ","integrate((x^2+1)/(x^2-1)/(1+(1+(1+x)^(1/2))^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} + 1}{{\left(x^{2} - 1\right)} \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}}\,{d x}"," ",0,"integrate((x^2 + 1)/((x^2 - 1)*sqrt(sqrt(sqrt(x + 1) + 1) + 1)), x)","F",0
2143,0,0,0,0.000000," ","integrate((x^2+1)/(x^2-1)/(1+(1+(1+x)^(1/2))^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} + 1}{{\left(x^{2} - 1\right)} \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}}\,{d x}"," ",0,"integrate((x^2 + 1)/((x^2 - 1)*sqrt(sqrt(sqrt(x + 1) + 1) + 1)), x)","F",0
2144,0,0,0,0.000000," ","integrate((x^3+x-1)/(x^3-x+1)/(x^3-x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{x^{3} + x - 1}{{\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(x^{3} - x + 1\right)}}\,{d x}"," ",0,"integrate((x^3 + x - 1)/((x^3 - x^2)^(1/3)*(x^3 - x + 1)), x)","F",0
2145,0,0,0,0.000000," ","integrate((x^3+x-1)/(x^3-x+1)/(x^3-x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{x^{3} + x - 1}{{\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(x^{3} - x + 1\right)}}\,{d x}"," ",0,"integrate((x^3 + x - 1)/((x^3 - x^2)^(1/3)*(x^3 - x + 1)), x)","F",0
2146,0,0,0,0.000000," ","integrate((2*x^3+1)^(4/3)*(3*x^3+1)/x^8/(4*x^3+1),x, algorithm=""maxima"")","\int \frac{{\left(3 \, x^{3} + 1\right)} {\left(2 \, x^{3} + 1\right)}^{\frac{4}{3}}}{{\left(4 \, x^{3} + 1\right)} x^{8}}\,{d x}"," ",0,"integrate((3*x^3 + 1)*(2*x^3 + 1)^(4/3)/((4*x^3 + 1)*x^8), x)","F",0
2147,0,0,0,0.000000," ","integrate((x^2-1)/(x^2+1)/(x^4-x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{x^{2} - 1}{{\left(x^{4} - x^{2}\right)}^{\frac{1}{3}} {\left(x^{2} + 1\right)}}\,{d x}"," ",0,"integrate((x^2 - 1)/((x^4 - x^2)^(1/3)*(x^2 + 1)), x)","F",0
2148,0,0,0,0.000000," ","integrate((a*x^4-b*x^2)^(1/4)*(2*a*x^4-b)/(a*x^4+b),x, algorithm=""maxima"")","\int \frac{{\left(2 \, a x^{4} - b\right)} {\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}}}{a x^{4} + b}\,{d x}"," ",0,"integrate((2*a*x^4 - b)*(a*x^4 - b*x^2)^(1/4)/(a*x^4 + b), x)","F",0
2149,0,0,0,0.000000," ","integrate((a*x^4-b*x^2)^(1/4)*(2*a*x^4-b)/(a*x^4+b),x, algorithm=""maxima"")","\int \frac{{\left(2 \, a x^{4} - b\right)} {\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}}}{a x^{4} + b}\,{d x}"," ",0,"integrate((2*a*x^4 - b)*(a*x^4 - b*x^2)^(1/4)/(a*x^4 + b), x)","F",0
2150,0,0,0,0.000000," ","integrate(x^3*(-4*a+3*x)/(x^2*(-a+x))^(2/3)/(d*x^4+a-x),x, algorithm=""maxima"")","-\int \frac{{\left(4 \, a - 3 \, x\right)} x^{3}}{{\left(d x^{4} + a - x\right)} \left(-{\left(a - x\right)} x^{2}\right)^{\frac{2}{3}}}\,{d x}"," ",0,"-integrate((4*a - 3*x)*x^3/((d*x^4 + a - x)*(-(a - x)*x^2)^(2/3)), x)","F",0
2151,0,0,0,0.000000," ","integrate((a*x^6+b)/x^6/(a*x^3+b)/(a*x^4-b*x)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{6} + b}{{\left(a x^{4} - b x\right)}^{\frac{1}{4}} {\left(a x^{3} + b\right)} x^{6}}\,{d x}"," ",0,"integrate((a*x^6 + b)/((a*x^4 - b*x)^(1/4)*(a*x^3 + b)*x^6), x)","F",0
2152,0,0,0,0.000000," ","integrate((x^2-1)/(1+x)^(1/2)/(x^2+1)/(x+(1+x)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} - 1}{{\left(x^{2} + 1\right)} \sqrt{x + \sqrt{x + 1}} \sqrt{x + 1}}\,{d x}"," ",0,"integrate((x^2 - 1)/((x^2 + 1)*sqrt(x + sqrt(x + 1))*sqrt(x + 1)), x)","F",0
2153,0,0,0,0.000000," ","integrate((x^2-1)/(1+x)^(1/2)/(x^2+1)/(x+(1+x)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} - 1}{{\left(x^{2} + 1\right)} \sqrt{x + \sqrt{x + 1}} \sqrt{x + 1}}\,{d x}"," ",0,"integrate((x^2 - 1)/((x^2 + 1)*sqrt(x + sqrt(x + 1))*sqrt(x + 1)), x)","F",0
2154,0,0,0,0.000000," ","integrate(x^2*(a*x^2+(a^2*x^4+b)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}} x^{2}\,{d x}"," ",0,"integrate(sqrt(a*x^2 + sqrt(a^2*x^4 + b))*x^2, x)","F",0
2155,0,0,0,0.000000," ","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=""maxima"")","\int \frac{1}{\sqrt{a^{2} x^{2} - b} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{3}} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{3}}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/(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))^(1/4)), x)","F",0
2156,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(a^{3} - 3 \, a^{2} x + 3 \, a x^{2} - x^{3}\right)} {\left(2 \, a - 3 \, b + x\right)}}{{\left(a^{3} + b^{2} d + {\left(3 \, a + d\right)} x^{2} - x^{3} - {\left(3 \, a^{2} + 2 \, b d\right)} x\right)} \left(-{\left(a - x\right)} {\left(b - x\right)}^{2}\right)^{\frac{1}{4}} {\left(b - x\right)}}\,{d x}"," ",0,"-integrate((a^3 - 3*a^2*x + 3*a*x^2 - x^3)*(2*a - 3*b + x)/((a^3 + b^2*d + (3*a + d)*x^2 - x^3 - (3*a^2 + 2*b*d)*x)*(-(a - x)*(b - x)^2)^(1/4)*(b - x)), x)","F",0
2157,0,0,0,0.000000," ","integrate((2*x^2-x+2)*(x^4-x^3)^(1/4)/(x^2-2*x-2),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(2 \, x^{2} - x + 2\right)}}{x^{2} - 2 \, x - 2}\,{d x}"," ",0,"integrate((x^4 - x^3)^(1/4)*(2*x^2 - x + 2)/(x^2 - 2*x - 2), x)","F",0
2158,0,0,0,0.000000," ","integrate((2*x^2-x+2)*(x^4-x^3)^(1/4)/(x^2-2*x-2),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(2 \, x^{2} - x + 2\right)}}{x^{2} - 2 \, x - 2}\,{d x}"," ",0,"integrate((x^4 - x^3)^(1/4)*(2*x^2 - x + 2)/(x^2 - 2*x - 2), x)","F",0
2159,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(2 \, x^{4} + 1\right)} \sqrt{-2 \, x^{4} - 3 \, x^{2} + 1}}{{\left(2 \, x^{4} + 2 \, x^{2} - 1\right)} {\left(2 \, x^{4} + x^{2} - 1\right)}}\,{d x}"," ",0,"integrate((2*x^4 + 1)*sqrt(-2*x^4 - 3*x^2 + 1)/((2*x^4 + 2*x^2 - 1)*(2*x^4 + x^2 - 1)), x)","F",0
2160,0,0,0,0.000000," ","integrate((a*x^4+b*x^2)^(1/4)*(2*a*x^4-b)/(a*x^4-2*b),x, algorithm=""maxima"")","\int \frac{{\left(2 \, a x^{4} - b\right)} {\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}}}{a x^{4} - 2 \, b}\,{d x}"," ",0,"integrate((2*a*x^4 - b)*(a*x^4 + b*x^2)^(1/4)/(a*x^4 - 2*b), x)","F",0
2161,0,0,0,0.000000," ","integrate((a*x^4+b*x^2)^(1/4)*(2*a*x^4-b)/(a*x^4-2*b),x, algorithm=""maxima"")","\int \frac{{\left(2 \, a x^{4} - b\right)} {\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}}}{a x^{4} - 2 \, b}\,{d x}"," ",0,"integrate((2*a*x^4 - b)*(a*x^4 + b*x^2)^(1/4)/(a*x^4 - 2*b), x)","F",0
2162,0,0,0,0.000000," ","integrate(x*(-4*a+3*x)/(x^2*(-a+x))^(1/3)/(d*x^4+a-x),x, algorithm=""maxima"")","-\int \frac{{\left(4 \, a - 3 \, x\right)} x}{{\left(d x^{4} + a - x\right)} \left(-{\left(a - x\right)} x^{2}\right)^{\frac{1}{3}}}\,{d x}"," ",0,"-integrate((4*a - 3*x)*x/((d*x^4 + a - x)*(-(a - x)*x^2)^(1/3)), x)","F",0
2163,0,0,0,0.000000," ","integrate((2*x^8-2*a*x^4-b)/(a*x^4-b)^(1/4)/(x^8-a*x^4-b),x, algorithm=""maxima"")","\int \frac{2 \, x^{8} - 2 \, a x^{4} - b}{{\left(x^{8} - a x^{4} - b\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((2*x^8 - 2*a*x^4 - b)/((x^8 - a*x^4 - b)*(a*x^4 - b)^(1/4)), x)","F",0
2164,0,0,0,0.000000," ","integrate((2*x^8-2*a*x^4-b)/(a*x^4-b)^(1/4)/(x^8-a*x^4-b),x, algorithm=""maxima"")","\int \frac{2 \, x^{8} - 2 \, a x^{4} - b}{{\left(x^{8} - a x^{4} - b\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((2*x^8 - 2*a*x^4 - b)/((x^8 - a*x^4 - b)*(a*x^4 - b)^(1/4)), x)","F",0
2165,0,0,0,0.000000," ","integrate(1/(x^2-1)/(x^3-x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(x^{2} - 1\right)}}\,{d x}"," ",0,"integrate(1/((x^3 - x^2)^(1/3)*(x^2 - 1)), x)","F",0
2166,0,0,0,0.000000," ","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=""maxima"")","\int \frac{a^{2} x^{4} - b^{2}}{{\left(a^{2} x^{4} + c x^{2} + b^{2}\right)} \sqrt{a x^{3} - b x}}\,{d x}"," ",0,"integrate((a^2*x^4 - b^2)/((a^2*x^4 + c*x^2 + b^2)*sqrt(a*x^3 - b*x)), x)","F",0
2167,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{p^{2} x^{6} + 2 \, p q x^{3} - 2 \, p q x^{2} + q^{2}} {\left(2 \, p x^{3} - q\right)}}{{\left({\left(p x^{3} + q\right)}^{2} a + b x^{2}\right)} x}\,{d x}"," ",0,"integrate(sqrt(p^2*x^6 + 2*p*q*x^3 - 2*p*q*x^2 + q^2)*(2*p*x^3 - q)/(((p*x^3 + q)^2*a + b*x^2)*x), x)","F",0
2168,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{p^{2} x^{6} - 2 \, p q x^{4} + 2 \, p q x^{3} + q^{2}} {\left(p x^{3} - 2 \, q\right)}}{{\left(b x^{4} + {\left(p x^{3} + q\right)}^{2} a\right)} x}\,{d x}"," ",0,"integrate(sqrt(p^2*x^6 - 2*p*q*x^4 + 2*p*q*x^3 + q^2)*(p*x^3 - 2*q)/((b*x^4 + (p*x^3 + q)^2*a)*x), x)","F",0
2169,0,0,0,0.000000," ","integrate((x^2-(x^2+1)^(1/2))/(x^2+(x+(x^2+1)^(1/2))^(1/2)),x, algorithm=""maxima"")","\frac{x^{2} + \sqrt{x^{2} + 1}}{2 \, x} + \int \frac{x^{6} - x^{3} + x^{2} - {\left(x^{4} + x^{2} - x\right)} \sqrt{x^{2} + 1} + 1}{2 \, {\left(x^{6} + 2 \, \sqrt{x + \sqrt{x^{2} + 1}} x^{4} + x^{3} + \sqrt{x^{2} + 1} x^{2}\right)}}\,{d x} - \int \frac{1}{2 \, \sqrt{x^{2} + 1}}\,{d x}"," ",0,"1/2*(x^2 + sqrt(x^2 + 1))/x + integrate(1/2*(x^6 - x^3 + x^2 - (x^4 + x^2 - x)*sqrt(x^2 + 1) + 1)/(x^6 + 2*sqrt(x + sqrt(x^2 + 1))*x^4 + x^3 + sqrt(x^2 + 1)*x^2), x) - integrate(1/2/sqrt(x^2 + 1), x)","F",0
2170,0,0,0,0.000000," ","integrate((x^2-(x^2+1)^(1/2))/(x^2+(x+(x^2+1)^(1/2))^(1/2)),x, algorithm=""maxima"")","\frac{x^{2} + \sqrt{x^{2} + 1}}{2 \, x} + \int \frac{x^{6} - x^{3} + x^{2} - {\left(x^{4} + x^{2} - x\right)} \sqrt{x^{2} + 1} + 1}{2 \, {\left(x^{6} + 2 \, \sqrt{x + \sqrt{x^{2} + 1}} x^{4} + x^{3} + \sqrt{x^{2} + 1} x^{2}\right)}}\,{d x} - \int \frac{1}{2 \, \sqrt{x^{2} + 1}}\,{d x}"," ",0,"1/2*(x^2 + sqrt(x^2 + 1))/x + integrate(1/2*(x^6 - x^3 + x^2 - (x^4 + x^2 - x)*sqrt(x^2 + 1) + 1)/(x^6 + 2*sqrt(x + sqrt(x^2 + 1))*x^4 + x^3 + sqrt(x^2 + 1)*x^2), x) - integrate(1/2/sqrt(x^2 + 1), x)","F",0
2171,0,0,0,0.000000," ","integrate((1+(1-(1+1/x^2)^(1/2))^(1/2))^(1/2)/x,x, algorithm=""maxima"")","\int \frac{\sqrt{\sqrt{-\sqrt{\frac{1}{x^{2}} + 1} + 1} + 1}}{x}\,{d x}"," ",0,"integrate(sqrt(sqrt(-sqrt(1/x^2 + 1) + 1) + 1)/x, x)","F",0
2172,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(k + 1\right)} x^{2} - 2 \, x}{\left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{2}{3}} {\left({\left(b - k\right)} x^{2} + {\left(k + 1\right)} x - 1\right)}}\,{d x}"," ",0,"-integrate(((k + 1)*x^2 - 2*x)/(((k*x - 1)*(x - 1)*x)^(2/3)*((b - k)*x^2 + (k + 1)*x - 1)), x)","F",0
2173,0,0,0,0.000000," ","integrate((2-(1+k)*x)/((1-x)*x*(-k*x+1))^(1/3)/(1-(1+k)*x),x, algorithm=""maxima"")","\int \frac{{\left(k + 1\right)} x - 2}{\left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{1}{3}} {\left({\left(k + 1\right)} x - 1\right)}}\,{d x}"," ",0,"integrate(((k + 1)*x - 2)/(((k*x - 1)*(x - 1)*x)^(1/3)*((k + 1)*x - 1)), x)","F",0
2174,0,0,0,0.000000," ","integrate((-2+(1+k)*x)/((1-x)*x*(-k*x+1))^(1/3)/(1-(1+k)*x+(-b+k)*x^2),x, algorithm=""maxima"")","-\int \frac{{\left(k + 1\right)} x - 2}{\left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{1}{3}} {\left({\left(b - k\right)} x^{2} + {\left(k + 1\right)} x - 1\right)}}\,{d x}"," ",0,"-integrate(((k + 1)*x - 2)/(((k*x - 1)*(x - 1)*x)^(1/3)*((b - k)*x^2 + (k + 1)*x - 1)), x)","F",0
2175,0,0,0,0.000000," ","integrate((2*x^2+3)*(2*x^3+2*x^2+1)^(2/3)/x^3/(x^3-2*x^2-1),x, algorithm=""maxima"")","\int \frac{{\left(2 \, x^{3} + 2 \, x^{2} + 1\right)}^{\frac{2}{3}} {\left(2 \, x^{2} + 3\right)}}{{\left(x^{3} - 2 \, x^{2} - 1\right)} x^{3}}\,{d x}"," ",0,"integrate((2*x^3 + 2*x^2 + 1)^(2/3)*(2*x^2 + 3)/((x^3 - 2*x^2 - 1)*x^3), x)","F",0
2176,0,0,0,0.000000," ","integrate((a*x^2+c*x-b)/(a*x^2+b)/(a*x^3-b*x)^(1/2),x, algorithm=""maxima"")","\int \frac{a x^{2} + c x - b}{\sqrt{a x^{3} - b x} {\left(a x^{2} + b\right)}}\,{d x}"," ",0,"integrate((a*x^2 + c*x - b)/(sqrt(a*x^3 - b*x)*(a*x^2 + b)), x)","F",0
2177,0,0,0,0.000000," ","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=""maxima"")","\int \frac{x^{4} + 2 \, x^{2} - 2 \, x - 4}{{\left(x^{5} - 4 \, x^{4} + 4 \, x^{3} + 4 \, x^{2} - 10 \, x + 8\right)} {\left(x^{2} - 2\right)} x \left(\frac{x^{2} + 2}{x^{2} - 2}\right)^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((x^4 + 2*x^2 - 2*x - 4)/((x^5 - 4*x^4 + 4*x^3 + 4*x^2 - 10*x + 8)*(x^2 - 2)*x*((x^2 + 2)/(x^2 - 2))^(1/4)), x)","F",0
2178,0,0,0,0.000000," ","integrate((1+x)^(1/2)*(x^4-1)*(1+(1+x)^(1/2))^(1/2)/(x^4+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - 1\right)} \sqrt{x + 1} \sqrt{\sqrt{x + 1} + 1}}{x^{4} + 1}\,{d x}"," ",0,"integrate((x^4 - 1)*sqrt(x + 1)*sqrt(sqrt(x + 1) + 1)/(x^4 + 1), x)","F",0
2179,0,0,0,0.000000," ","integrate((1+x)^(1/2)*(x^4-1)*(1+(1+x)^(1/2))^(1/2)/(x^4+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - 1\right)} \sqrt{x + 1} \sqrt{\sqrt{x + 1} + 1}}{x^{4} + 1}\,{d x}"," ",0,"integrate((x^4 - 1)*sqrt(x + 1)*sqrt(sqrt(x + 1) + 1)/(x^4 + 1), x)","F",0
2180,1,152,0,0.453055," ","integrate((c*x-d)/x^4/(a*x^3-b)^(1/3),x, algorithm=""maxima"")","-\frac{1}{18} \, {\left(\frac{2 \, \sqrt{3} a \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(a x^{3} - b\right)}^{\frac{1}{3}} - b^{\frac{1}{3}}\right)}}{3 \, b^{\frac{1}{3}}}\right)}{b^{\frac{4}{3}}} + \frac{6 \, {\left(a x^{3} - b\right)}^{\frac{2}{3}} a}{{\left(a x^{3} - b\right)} b + b^{2}} + \frac{a \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)}{b^{\frac{4}{3}}} - \frac{2 \, a \log\left({\left(a x^{3} - b\right)}^{\frac{1}{3}} + b^{\frac{1}{3}}\right)}{b^{\frac{4}{3}}}\right)} d + \frac{{\left(a x^{3} - b\right)}^{\frac{2}{3}} c}{2 \, b x^{2}}"," ",0,"-1/18*(2*sqrt(3)*a*arctan(1/3*sqrt(3)*(2*(a*x^3 - b)^(1/3) - b^(1/3))/b^(1/3))/b^(4/3) + 6*(a*x^3 - b)^(2/3)*a/((a*x^3 - b)*b + b^2) + a*log((a*x^3 - b)^(2/3) - (a*x^3 - b)^(1/3)*b^(1/3) + b^(2/3))/b^(4/3) - 2*a*log((a*x^3 - b)^(1/3) + b^(1/3))/b^(4/3))*d + 1/2*(a*x^3 - b)^(2/3)*c/(b*x^2)","A",0
2181,0,0,0,0.000000," ","integrate((a*x^4-b*x^3)^(1/4)*(c*x^4-d)/x^2,x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}} {\left(c x^{4} - d\right)}}{x^{2}}\,{d x}"," ",0,"integrate((a*x^4 - b*x^3)^(1/4)*(c*x^4 - d)/x^2, x)","F",0
2182,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(3 \, k x^{2} - 4 \, {\left(k + 1\right)} x + 5\right)} x^{3}}{{\left(x^{5} - b k x^{2} + b {\left(k + 1\right)} x - b\right)} \left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((3*k*x^2 - 4*(k + 1)*x + 5)*x^3/((x^5 - b*k*x^2 + b*(k + 1)*x - b)*((k*x - 1)*(x - 1)*x)^(2/3)), x)","F",0
2183,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{5} - 3 \, x^{4} + 2\right)}^{\frac{1}{4}} {\left(x^{5} + 2\right)} {\left(x^{5} - 8\right)}}{{\left(2 \, x^{5} - 3 \, x^{4} + 4\right)} x^{6}}\,{d x}"," ",0,"integrate((x^5 - 3*x^4 + 2)^(1/4)*(x^5 + 2)*(x^5 - 8)/((2*x^5 - 3*x^4 + 4)*x^6), x)","F",0
2184,0,0,0,0.000000," ","integrate(x^2/(x^4-1)/(x^6+x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} - 1\right)}}\,{d x}"," ",0,"integrate(x^2/((x^6 + x^2)^(1/4)*(x^4 - 1)), x)","F",0
2185,0,0,0,0.000000," ","integrate(x^2/(x^4-1)/(x^6+x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} - 1\right)}}\,{d x}"," ",0,"integrate(x^2/((x^6 + x^2)^(1/4)*(x^4 - 1)), x)","F",0
2186,0,0,0,0.000000," ","integrate((x^4+1)/(x^4-1)/(x^6+x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{4} + 1}{{\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} - 1\right)}}\,{d x}"," ",0,"integrate((x^4 + 1)/((x^6 + x^2)^(1/4)*(x^4 - 1)), x)","F",0
2187,0,0,0,0.000000," ","integrate((x^4+1)/(x^4-1)/(x^6+x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{4} + 1}{{\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} - 1\right)}}\,{d x}"," ",0,"integrate((x^4 + 1)/((x^6 + x^2)^(1/4)*(x^4 - 1)), x)","F",0
2188,0,0,0,0.000000," ","integrate((x^4-x^2+1)/(x^4-1)/(x^6+x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{4} - x^{2} + 1}{{\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} - 1\right)}}\,{d x}"," ",0,"integrate((x^4 - x^2 + 1)/((x^6 + x^2)^(1/4)*(x^4 - 1)), x)","F",0
2189,0,0,0,0.000000," ","integrate((x^4-x^2+1)/(x^4-1)/(x^6+x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{4} - x^{2} + 1}{{\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} - 1\right)}}\,{d x}"," ",0,"integrate((x^4 - x^2 + 1)/((x^6 + x^2)^(1/4)*(x^4 - 1)), x)","F",0
2190,0,0,0,0.000000," ","integrate((x^4+x^2+1)/(x^4-1)/(x^6+x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{4} + x^{2} + 1}{{\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} - 1\right)}}\,{d x}"," ",0,"integrate((x^4 + x^2 + 1)/((x^6 + x^2)^(1/4)*(x^4 - 1)), x)","F",0
2191,0,0,0,0.000000," ","integrate((x^4+x^2+1)/(x^4-1)/(x^6+x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{4} + x^{2} + 1}{{\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} - 1\right)}}\,{d x}"," ",0,"integrate((x^4 + x^2 + 1)/((x^6 + x^2)^(1/4)*(x^4 - 1)), x)","F",0
2192,0,0,0,0.000000," ","integrate((x^3-4)*(x^3-2)*(x^3-1)^(2/3)/x^6/(x^6+x^3-2),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} - 1\right)}^{\frac{2}{3}} {\left(x^{3} - 2\right)} {\left(x^{3} - 4\right)}}{{\left(x^{6} + x^{3} - 2\right)} x^{6}}\,{d x}"," ",0,"integrate((x^3 - 1)^(2/3)*(x^3 - 2)*(x^3 - 4)/((x^6 + x^3 - 2)*x^6), x)","F",0
2193,0,0,0,0.000000," ","integrate((x^4-1)*(x^6+x^2)^(1/4)/(x^8+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} - 1\right)}}{x^{8} + 1}\,{d x}"," ",0,"integrate((x^6 + x^2)^(1/4)*(x^4 - 1)/(x^8 + 1), x)","F",0
2194,0,0,0,0.000000," ","integrate((x^4-1)*(x^6+x^2)^(1/4)/(x^8+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} - 1\right)}}{x^{8} + 1}\,{d x}"," ",0,"integrate((x^6 + x^2)^(1/4)*(x^4 - 1)/(x^8 + 1), x)","F",0
2195,0,0,0,0.000000," ","integrate((x^8-1)/(x^6+x^2)^(1/4)/(x^8+1),x, algorithm=""maxima"")","\int \frac{x^{8} - 1}{{\left(x^{8} + 1\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((x^8 - 1)/((x^8 + 1)*(x^6 + x^2)^(1/4)), x)","F",0
2196,0,0,0,0.000000," ","integrate((x^8-1)/(x^6+x^2)^(1/4)/(x^8+1),x, algorithm=""maxima"")","\int \frac{x^{8} - 1}{{\left(x^{8} + 1\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((x^8 - 1)/((x^8 + 1)*(x^6 + x^2)^(1/4)), x)","F",0
2197,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(6 \, k x^{2} - 7 \, {\left(k + 1\right)} x + 8\right)} x^{5}}{{\left(x^{8} - b k x^{2} + b {\left(k + 1\right)} x - b\right)} \left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((6*k*x^2 - 7*(k + 1)*x + 8)*x^5/((x^8 - b*k*x^2 + b*(k + 1)*x - b)*((k*x - 1)*(x - 1)*x)^(2/3)), x)","F",0
2198,0,0,0,0.000000," ","integrate((2*x^8-a*x^4-2*b)/(a*x^4-b)^(1/4)/(x^8-a*x^4-2*b),x, algorithm=""maxima"")","\int \frac{2 \, x^{8} - a x^{4} - 2 \, b}{{\left(x^{8} - a x^{4} - 2 \, b\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((2*x^8 - a*x^4 - 2*b)/((x^8 - a*x^4 - 2*b)*(a*x^4 - b)^(1/4)), x)","F",0
2199,0,0,0,0.000000," ","integrate((b+(a*x^2+b^2)^(1/2))^(1/2)/x^4,x, algorithm=""maxima"")","\int \frac{\sqrt{b + \sqrt{a x^{2} + b^{2}}}}{x^{4}}\,{d x}"," ",0,"integrate(sqrt(b + sqrt(a*x^2 + b^2))/x^4, x)","F",0
2200,0,0,0,0.000000," ","integrate((b+(a*x^2+b^2)^(1/2))^(1/2)/x^4/(a*x^2+b^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{b + \sqrt{a x^{2} + b^{2}}}}{\sqrt{a x^{2} + b^{2}} x^{4}}\,{d x}"," ",0,"integrate(sqrt(b + sqrt(a*x^2 + b^2))/(sqrt(a*x^2 + b^2)*x^4), x)","F",0
2201,0,0,0,0.000000," ","integrate(1/(x^3+x)^(1/3)/(x^6-1),x, algorithm=""maxima"")","-\frac{3 \, {\left(9 \, x^{7} + 3 \, x^{5} - x^{3} + 5 \, x\right)}}{80 \, {\left(x^{\frac{19}{3}} - x^{\frac{1}{3}}\right)} {\left(x^{2} + 1\right)}^{\frac{1}{3}}} - \int \frac{9 \, {\left(9 \, x^{6} + 3 \, x^{4} - x^{2} + 5\right)}}{40 \, {\left(x^{\frac{37}{3}} - 2 \, x^{\frac{19}{3}} + x^{\frac{1}{3}}\right)} {\left(x^{2} + 1\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"-3/80*(9*x^7 + 3*x^5 - x^3 + 5*x)/((x^(19/3) - x^(1/3))*(x^2 + 1)^(1/3)) - integrate(9/40*(9*x^6 + 3*x^4 - x^2 + 5)/((x^(37/3) - 2*x^(19/3) + x^(1/3))*(x^2 + 1)^(1/3)), x)","F",0
2202,0,0,0,0.000000," ","integrate(1/(x^3+x)^(1/3)/(x^6-1),x, algorithm=""maxima"")","-\frac{3 \, {\left(9 \, x^{7} + 3 \, x^{5} - x^{3} + 5 \, x\right)}}{80 \, {\left(x^{\frac{19}{3}} - x^{\frac{1}{3}}\right)} {\left(x^{2} + 1\right)}^{\frac{1}{3}}} - \int \frac{9 \, {\left(9 \, x^{6} + 3 \, x^{4} - x^{2} + 5\right)}}{40 \, {\left(x^{\frac{37}{3}} - 2 \, x^{\frac{19}{3}} + x^{\frac{1}{3}}\right)} {\left(x^{2} + 1\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"-3/80*(9*x^7 + 3*x^5 - x^3 + 5*x)/((x^(19/3) - x^(1/3))*(x^2 + 1)^(1/3)) - integrate(9/40*(9*x^6 + 3*x^4 - x^2 + 5)/((x^(37/3) - 2*x^(19/3) + x^(1/3))*(x^2 + 1)^(1/3)), x)","F",0
2203,0,0,0,0.000000," ","integrate((x^3+1)*(x^6-x^3-2)^(1/2)/x^4/(x^6-2*x^3-1),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{6} - x^{3} - 2} {\left(x^{3} + 1\right)}}{{\left(x^{6} - 2 \, x^{3} - 1\right)} x^{4}}\,{d x}"," ",0,"integrate(sqrt(x^6 - x^3 - 2)*(x^3 + 1)/((x^6 - 2*x^3 - 1)*x^4), x)","F",0
2204,0,0,0,0.000000," ","integrate(x^2*(7*x^3-4)/(x^4-x)^(1/3)/(x^7-x^4-1),x, algorithm=""maxima"")","\int \frac{{\left(7 \, x^{3} - 4\right)} x^{2}}{{\left(x^{7} - x^{4} - 1\right)} {\left(x^{4} - x\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((7*x^3 - 4)*x^2/((x^7 - x^4 - 1)*(x^4 - x)^(1/3)), x)","F",0
2205,0,0,0,0.000000," ","integrate((x^8+a*x^4)/(a*x^4-b*x^2)^(1/4)/(x^8+2*a*x^4-b),x, algorithm=""maxima"")","\int \frac{x^{8} + a x^{4}}{{\left(x^{8} + 2 \, a x^{4} - b\right)} {\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((x^8 + a*x^4)/((x^8 + 2*a*x^4 - b)*(a*x^4 - b*x^2)^(1/4)), x)","F",0
2206,0,0,0,0.000000," ","integrate((x^8+a*x^4)/(a*x^4-b*x^2)^(1/4)/(x^8+2*a*x^4-b),x, algorithm=""maxima"")","\int \frac{x^{8} + a x^{4}}{{\left(x^{8} + 2 \, a x^{4} - b\right)} {\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((x^8 + a*x^4)/((x^8 + 2*a*x^4 - b)*(a*x^4 - b*x^2)^(1/4)), x)","F",0
2207,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{4} + 1\right)} {\left(x^{4} - 1\right)} \sqrt{-x^{4} + 2 \, x^{2} + 1}}{{\left(x^{8} - 3 \, x^{6} - x^{4} + 3 \, x^{2} + 1\right)} {\left(x^{4} - x^{2} - 1\right)}}\,{d x}"," ",0,"integrate((x^4 + 1)*(x^4 - 1)*sqrt(-x^4 + 2*x^2 + 1)/((x^8 - 3*x^6 - x^4 + 3*x^2 + 1)*(x^4 - x^2 - 1)), x)","F",0
2208,0,0,0,0.000000," ","integrate(1/(x^2-1)/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{2} - 1\right)} \sqrt{x + \sqrt{x^{2} + 1}}}\,{d x}"," ",0,"integrate(1/((x^2 - 1)*sqrt(x + sqrt(x^2 + 1))), x)","F",0
2209,0,0,0,0.000000," ","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))^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{\frac{a^{2} x^{2}}{b^{2}} - \frac{a}{b^{2}}}}{\sqrt{a x^{2} + \sqrt{\frac{a^{2} x^{2}}{b^{2}} - \frac{a}{b^{2}}} b x}}\,{d x}"," ",0,"integrate(sqrt(a^2*x^2/b^2 - a/b^2)/sqrt(a*x^2 + sqrt(a^2*x^2/b^2 - a/b^2)*b*x), x)","F",0
2210,0,0,0,0.000000," ","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))^(1/2),x, algorithm=""maxima"")","\int \sqrt{a x^{2} + \sqrt{\frac{a^{2} x^{2}}{b^{2}} - \frac{a}{b^{2}}} b x} \sqrt{\frac{a^{2} x^{2}}{b^{2}} - \frac{a}{b^{2}}}\,{d x}"," ",0,"integrate(sqrt(a*x^2 + sqrt(a^2*x^2/b^2 - a/b^2)*b*x)*sqrt(a^2*x^2/b^2 - a/b^2), x)","F",0
2211,0,0,0,0.000000," ","integrate((-3+x)*(-2+x)*(2*x^3-x+2)^(2/3)/x^6/(2*x^3+x-2),x, algorithm=""maxima"")","\int \frac{{\left(2 \, x^{3} - x + 2\right)}^{\frac{2}{3}} {\left(x - 2\right)} {\left(x - 3\right)}}{{\left(2 \, x^{3} + x - 2\right)} x^{6}}\,{d x}"," ",0,"integrate((2*x^3 - x + 2)^(2/3)*(x - 2)*(x - 3)/((2*x^3 + x - 2)*x^6), x)","F",0
2212,0,0,0,0.000000," ","integrate((x^3+1)^(2/3)*(x^3+2)/x^6/(x^6-x^3-2),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} + 2\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{{\left(x^{6} - x^{3} - 2\right)} x^{6}}\,{d x}"," ",0,"integrate((x^3 + 2)*(x^3 + 1)^(2/3)/((x^6 - x^3 - 2)*x^6), x)","F",0
2213,0,0,0,0.000000," ","integrate((a*x^6+b)/(x^3+x)^(1/3)/(c*x^6+d),x, algorithm=""maxima"")","\int \frac{a x^{6} + b}{{\left(c x^{6} + d\right)} {\left(x^{3} + x\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((a*x^6 + b)/((c*x^6 + d)*(x^3 + x)^(1/3)), x)","F",0
2214,0,0,0,0.000000," ","integrate((a*x^6+b)/(x^3+x)^(1/3)/(c*x^6+d),x, algorithm=""maxima"")","\int \frac{a x^{6} + b}{{\left(c x^{6} + d\right)} {\left(x^{3} + x\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((a*x^6 + b)/((c*x^6 + d)*(x^3 + x)^(1/3)), x)","F",0
2215,0,0,0,0.000000," ","integrate(1/(2+x)/(x^2+x+1)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{2} + x + 1\right)}^{\frac{1}{3}} {\left(x + 2\right)}}\,{d x}"," ",0,"integrate(1/((x^2 + x + 1)^(1/3)*(x + 2)), x)","F",0
2216,0,0,0,0.000000," ","integrate((-3+2*x)*(x^3+x-1)^(1/3)/x^2/(x^3-2*x+2),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} + x - 1\right)}^{\frac{1}{3}} {\left(2 \, x - 3\right)}}{{\left(x^{3} - 2 \, x + 2\right)} x^{2}}\,{d x}"," ",0,"integrate((x^3 + x - 1)^(1/3)*(2*x - 3)/((x^3 - 2*x + 2)*x^2), x)","F",0
2217,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(2 \, a - b\right)} b^{2} - {\left(4 \, a - b\right)} b x + {\left(2 \, a + b\right)} x^{2} - x^{3}}{\left(-{\left(a - x\right)} {\left(b - x\right)}^{2}\right)^{\frac{1}{4}} {\left(b^{2} + a d - {\left(2 \, b + d\right)} x + x^{2}\right)} {\left(a - x\right)}}\,{d x}"," ",0,"integrate(((2*a - b)*b^2 - (4*a - b)*b*x + (2*a + b)*x^2 - x^3)/((-(a - x)*(b - x)^2)^(1/4)*(b^2 + a*d - (2*b + d)*x + x^2)*(a - x)), x)","F",0
2218,0,0,0,0.000000," ","integrate(x^4/(a*x^4+b)^2/(a*x^4+b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{4} + b\right)}^{2}}\,{d x}"," ",0,"integrate(x^4/((a*x^4 + b*x^2)^(1/4)*(a*x^4 + b)^2), x)","F",0
2219,0,0,0,0.000000," ","integrate(x^4/(a*x^4+b)^2/(a*x^4+b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{4} + b\right)}^{2}}\,{d x}"," ",0,"integrate(x^4/((a*x^4 + b*x^2)^(1/4)*(a*x^4 + b)^2), x)","F",0
2220,0,0,0,0.000000," ","integrate(x^4/(a*x^4+b)^2/(a*x^4+b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{4} + b\right)}^{2}}\,{d x}"," ",0,"integrate(x^4/((a*x^4 + b*x^2)^(1/4)*(a*x^4 + b)^2), x)","F",0
2221,0,0,0,0.000000," ","integrate((a*x^4-b)*(a*x^4+b)^(3/4)/x^8/(2*a*x^4+b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} + b\right)}^{\frac{3}{4}} {\left(a x^{4} - b\right)}}{{\left(2 \, a x^{4} + b\right)} x^{8}}\,{d x}"," ",0,"integrate((a*x^4 + b)^(3/4)*(a*x^4 - b)/((2*a*x^4 + b)*x^8), x)","F",0
2222,0,0,0,0.000000," ","integrate(x*(a*x+b)^(1/2)/(x+(c+(a*x+b)^(1/2))^(1/2)),x, algorithm=""maxima"")","\int \frac{\sqrt{a x + b} x}{x + \sqrt{c + \sqrt{a x + b}}}\,{d x}"," ",0,"integrate(sqrt(a*x + b)*x/(x + sqrt(c + sqrt(a*x + b))), x)","F",0
2223,0,0,0,0.000000," ","integrate(x*(a*x+b)^(1/2)/(x+(c+(a*x+b)^(1/2))^(1/2)),x, algorithm=""maxima"")","\int \frac{\sqrt{a x + b} x}{x + \sqrt{c + \sqrt{a x + b}}}\,{d x}"," ",0,"integrate(sqrt(a*x + b)*x/(x + sqrt(c + sqrt(a*x + b))), x)","F",0
2224,0,0,0,0.000000," ","integrate((1-(1-(1-1/x)^(1/2))^(1/2))^(1/2)/x,x, algorithm=""maxima"")","\int \frac{\sqrt{-\sqrt{-\sqrt{-\frac{1}{x} + 1} + 1} + 1}}{x}\,{d x}"," ",0,"integrate(sqrt(-sqrt(-sqrt(-1/x + 1) + 1) + 1)/x, x)","F",0
2225,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{2 \, a b x - {\left(a + b\right)} x^{2}}{{\left(a b d - {\left(a + b\right)} d x + {\left(d - 1\right)} x^{2}\right)} \left({\left(a - x\right)} {\left(b - x\right)} x\right)^{\frac{2}{3}}}\,{d x}"," ",0,"-integrate((2*a*b*x - (a + b)*x^2)/((a*b*d - (a + b)*d*x + (d - 1)*x^2)*((a - x)*(b - x)*x)^(2/3)), x)","F",0
2226,1,247,0,0.454572," ","integrate((a*x^3-b)^(1/4)/x^7,x, algorithm=""maxima"")","\frac{{\left(a x^{3} - b\right)}^{\frac{5}{4}} a^{2} - 3 \, {\left(a x^{3} - b\right)}^{\frac{1}{4}} a^{2} b}{24 \, {\left({\left(a x^{3} - b\right)}^{2} b + 2 \, {\left(a x^{3} - b\right)} b^{2} + b^{3}\right)}} + \frac{\frac{2 \, \sqrt{2} a^{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} + 2 \, {\left(a x^{3} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{3}{4}}} + \frac{2 \, \sqrt{2} a^{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} - 2 \, {\left(a x^{3} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{3}{4}}} + \frac{\sqrt{2} a^{2} \log\left(\sqrt{2} {\left(a x^{3} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{3} - b} + \sqrt{b}\right)}{b^{\frac{3}{4}}} - \frac{\sqrt{2} a^{2} \log\left(-\sqrt{2} {\left(a x^{3} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{3} - b} + \sqrt{b}\right)}{b^{\frac{3}{4}}}}{64 \, b}"," ",0,"1/24*((a*x^3 - b)^(5/4)*a^2 - 3*(a*x^3 - b)^(1/4)*a^2*b)/((a*x^3 - b)^2*b + 2*(a*x^3 - b)*b^2 + b^3) + 1/64*(2*sqrt(2)*a^2*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4) + 2*(a*x^3 - b)^(1/4))/b^(1/4))/b^(3/4) + 2*sqrt(2)*a^2*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4) - 2*(a*x^3 - b)^(1/4))/b^(1/4))/b^(3/4) + sqrt(2)*a^2*log(sqrt(2)*(a*x^3 - b)^(1/4)*b^(1/4) + sqrt(a*x^3 - b) + sqrt(b))/b^(3/4) - sqrt(2)*a^2*log(-sqrt(2)*(a*x^3 - b)^(1/4)*b^(1/4) + sqrt(a*x^3 - b) + sqrt(b))/b^(3/4))/b","A",0
2227,0,0,0,0.000000," ","integrate((2*a*x^2+b)*(a*x^4+b*x^2)^(1/4)/(a*x^2-b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}} {\left(2 \, a x^{2} + b\right)}}{a x^{2} - b}\,{d x}"," ",0,"integrate((a*x^4 + b*x^2)^(1/4)*(2*a*x^2 + b)/(a*x^2 - b), x)","F",0
2228,0,0,0,0.000000," ","integrate((a^4*x^4-b^4)/(a^2*x^3-b^2*x)^(1/2)/(a^4*x^4+b^4),x, algorithm=""maxima"")","\int \frac{a^{4} x^{4} - b^{4}}{{\left(a^{4} x^{4} + b^{4}\right)} \sqrt{a^{2} x^{3} - b^{2} x}}\,{d x}"," ",0,"integrate((a^4*x^4 - b^4)/((a^4*x^4 + b^4)*sqrt(a^2*x^3 - b^2*x)), x)","F",0
2229,0,0,0,0.000000," ","integrate((x^5-1)/(x^4+1)^(1/2)/(x^5+1),x, algorithm=""maxima"")","\int \frac{x^{5} - 1}{{\left(x^{5} + 1\right)} \sqrt{x^{4} + 1}}\,{d x}"," ",0,"integrate((x^5 - 1)/((x^5 + 1)*sqrt(x^4 + 1)), x)","F",0
2230,0,0,0,0.000000," ","integrate((x^5-1)/(x^4+1)^(1/2)/(x^5+1),x, algorithm=""maxima"")","\int \frac{x^{5} - 1}{{\left(x^{5} + 1\right)} \sqrt{x^{4} + 1}}\,{d x}"," ",0,"integrate((x^5 - 1)/((x^5 + 1)*sqrt(x^4 + 1)), x)","F",0
2231,0,0,0,0.000000," ","integrate((x^5+1)/(x^4+1)^(1/2)/(x^5-1),x, algorithm=""maxima"")","\int \frac{x^{5} + 1}{{\left(x^{5} - 1\right)} \sqrt{x^{4} + 1}}\,{d x}"," ",0,"integrate((x^5 + 1)/((x^5 - 1)*sqrt(x^4 + 1)), x)","F",0
2232,0,0,0,0.000000," ","integrate((x^5+1)/(x^4+1)^(1/2)/(x^5-1),x, algorithm=""maxima"")","\int \frac{x^{5} + 1}{{\left(x^{5} - 1\right)} \sqrt{x^{4} + 1}}\,{d x}"," ",0,"integrate((x^5 + 1)/((x^5 - 1)*sqrt(x^4 + 1)), x)","F",0
2233,0,0,0,0.000000," ","integrate((a^6*x^6-b^6)/(a^4*x^4+b^4)^(1/2)/(a^6*x^6+b^6),x, algorithm=""maxima"")","\int \frac{a^{6} x^{6} - b^{6}}{{\left(a^{6} x^{6} + b^{6}\right)} \sqrt{a^{4} x^{4} + b^{4}}}\,{d x}"," ",0,"integrate((a^6*x^6 - b^6)/((a^6*x^6 + b^6)*sqrt(a^4*x^4 + b^4)), x)","F",0
2234,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{2 \, a b - {\left(a + b\right)} x}{{\left(a b d - {\left(a + b\right)} d x + {\left(d - 1\right)} x^{2}\right)} \left({\left(a - x\right)} {\left(b - x\right)} x\right)^{\frac{1}{3}}}\,{d x}"," ",0,"-integrate((2*a*b - (a + b)*x)/((a*b*d - (a + b)*d*x + (d - 1)*x^2)*((a - x)*(b - x)*x)^(1/3)), x)","F",0
2235,1,250,0,0.420511," ","integrate(1/x^7/(a*x^3-b)^(3/4),x, algorithm=""maxima"")","\frac{7 \, {\left(a x^{3} - b\right)}^{\frac{5}{4}} a^{2} + 11 \, {\left(a x^{3} - b\right)}^{\frac{1}{4}} a^{2} b}{24 \, {\left({\left(a x^{3} - b\right)}^{2} b^{2} + 2 \, {\left(a x^{3} - b\right)} b^{3} + b^{4}\right)}} + \frac{7 \, {\left(\frac{2 \, \sqrt{2} a^{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} + 2 \, {\left(a x^{3} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{3}{4}}} + \frac{2 \, \sqrt{2} a^{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} - 2 \, {\left(a x^{3} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{3}{4}}} + \frac{\sqrt{2} a^{2} \log\left(\sqrt{2} {\left(a x^{3} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{3} - b} + \sqrt{b}\right)}{b^{\frac{3}{4}}} - \frac{\sqrt{2} a^{2} \log\left(-\sqrt{2} {\left(a x^{3} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{3} - b} + \sqrt{b}\right)}{b^{\frac{3}{4}}}\right)}}{64 \, b^{2}}"," ",0,"1/24*(7*(a*x^3 - b)^(5/4)*a^2 + 11*(a*x^3 - b)^(1/4)*a^2*b)/((a*x^3 - b)^2*b^2 + 2*(a*x^3 - b)*b^3 + b^4) + 7/64*(2*sqrt(2)*a^2*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4) + 2*(a*x^3 - b)^(1/4))/b^(1/4))/b^(3/4) + 2*sqrt(2)*a^2*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4) - 2*(a*x^3 - b)^(1/4))/b^(1/4))/b^(3/4) + sqrt(2)*a^2*log(sqrt(2)*(a*x^3 - b)^(1/4)*b^(1/4) + sqrt(a*x^3 - b) + sqrt(b))/b^(3/4) - sqrt(2)*a^2*log(-sqrt(2)*(a*x^3 - b)^(1/4)*b^(1/4) + sqrt(a*x^3 - b) + sqrt(b))/b^(3/4))/b^2","A",0
2236,1,241,0,0.434863," ","integrate(1/x^7/(a*x^3-b)^(1/4),x, algorithm=""maxima"")","\frac{5 \, {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} + 2 \, {\left(a x^{3} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{1}{4}}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} - 2 \, {\left(a x^{3} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{1}{4}}} - \frac{\sqrt{2} \log\left(\sqrt{2} {\left(a x^{3} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{3} - b} + \sqrt{b}\right)}{b^{\frac{1}{4}}} + \frac{\sqrt{2} \log\left(-\sqrt{2} {\left(a x^{3} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{3} - b} + \sqrt{b}\right)}{b^{\frac{1}{4}}}\right)} a^{2}}{192 \, b^{2}} + \frac{5 \, {\left(a x^{3} - b\right)}^{\frac{7}{4}} a^{2} + 9 \, {\left(a x^{3} - b\right)}^{\frac{3}{4}} a^{2} b}{24 \, {\left({\left(a x^{3} - b\right)}^{2} b^{2} + 2 \, {\left(a x^{3} - b\right)} b^{3} + b^{4}\right)}}"," ",0,"5/192*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4) + 2*(a*x^3 - b)^(1/4))/b^(1/4))/b^(1/4) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4) - 2*(a*x^3 - b)^(1/4))/b^(1/4))/b^(1/4) - sqrt(2)*log(sqrt(2)*(a*x^3 - b)^(1/4)*b^(1/4) + sqrt(a*x^3 - b) + sqrt(b))/b^(1/4) + sqrt(2)*log(-sqrt(2)*(a*x^3 - b)^(1/4)*b^(1/4) + sqrt(a*x^3 - b) + sqrt(b))/b^(1/4))*a^2/b^2 + 1/24*(5*(a*x^3 - b)^(7/4)*a^2 + 9*(a*x^3 - b)^(3/4)*a^2*b)/((a*x^3 - b)^2*b^2 + 2*(a*x^3 - b)*b^3 + b^4)","A",0
2237,0,0,0,0.000000," ","integrate((x^2+1)/(x^2-1)/(x^4+x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{x^{2} + 1}{{\left(x^{4} + x^{2}\right)}^{\frac{1}{3}} {\left(x^{2} - 1\right)}}\,{d x}"," ",0,"integrate((x^2 + 1)/((x^4 + x^2)^(1/3)*(x^2 - 1)), x)","F",0
2238,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(2 \, x^{4} - x^{3} - 2\right)} {\left(x^{4} + 3\right)} {\left(x^{4} - 1\right)}^{\frac{2}{3}}}{{\left(2 \, x^{4} + 3 \, x^{3} - 2\right)} x^{6}}\,{d x}"," ",0,"integrate((2*x^4 - x^3 - 2)*(x^4 + 3)*(x^4 - 1)^(2/3)/((2*x^4 + 3*x^3 - 2)*x^6), x)","F",0
2239,1,250,0,0.419303," ","integrate(1/x^9/(a*x^4-b)^(3/4),x, algorithm=""maxima"")","\frac{7 \, {\left(a x^{4} - b\right)}^{\frac{5}{4}} a^{2} + 11 \, {\left(a x^{4} - b\right)}^{\frac{1}{4}} a^{2} b}{32 \, {\left({\left(a x^{4} - b\right)}^{2} b^{2} + 2 \, {\left(a x^{4} - b\right)} b^{3} + b^{4}\right)}} + \frac{21 \, {\left(\frac{2 \, \sqrt{2} a^{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} + 2 \, {\left(a x^{4} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{3}{4}}} + \frac{2 \, \sqrt{2} a^{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} - 2 \, {\left(a x^{4} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{3}{4}}} + \frac{\sqrt{2} a^{2} \log\left(\sqrt{2} {\left(a x^{4} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{4} - b} + \sqrt{b}\right)}{b^{\frac{3}{4}}} - \frac{\sqrt{2} a^{2} \log\left(-\sqrt{2} {\left(a x^{4} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{4} - b} + \sqrt{b}\right)}{b^{\frac{3}{4}}}\right)}}{256 \, b^{2}}"," ",0,"1/32*(7*(a*x^4 - b)^(5/4)*a^2 + 11*(a*x^4 - b)^(1/4)*a^2*b)/((a*x^4 - b)^2*b^2 + 2*(a*x^4 - b)*b^3 + b^4) + 21/256*(2*sqrt(2)*a^2*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4) + 2*(a*x^4 - b)^(1/4))/b^(1/4))/b^(3/4) + 2*sqrt(2)*a^2*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4) - 2*(a*x^4 - b)^(1/4))/b^(1/4))/b^(3/4) + sqrt(2)*a^2*log(sqrt(2)*(a*x^4 - b)^(1/4)*b^(1/4) + sqrt(a*x^4 - b) + sqrt(b))/b^(3/4) - sqrt(2)*a^2*log(-sqrt(2)*(a*x^4 - b)^(1/4)*b^(1/4) + sqrt(a*x^4 - b) + sqrt(b))/b^(3/4))/b^2","A",0
2240,0,0,0,0.000000," ","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=""maxima"")","\int \frac{a^{2} x^{4} + c x^{2} + b^{2}}{{\left(a^{2} x^{4} - b^{2}\right)} \sqrt{a x^{3} + b x}}\,{d x}"," ",0,"integrate((a^2*x^4 + c*x^2 + b^2)/((a^2*x^4 - b^2)*sqrt(a*x^3 + b*x)), x)","F",0
2241,1,250,0,0.490879," ","integrate(1/x^11/(a*x^5-b)^(3/4),x, algorithm=""maxima"")","\frac{7 \, {\left(a x^{5} - b\right)}^{\frac{5}{4}} a^{2} + 11 \, {\left(a x^{5} - b\right)}^{\frac{1}{4}} a^{2} b}{40 \, {\left({\left(a x^{5} - b\right)}^{2} b^{2} + 2 \, {\left(a x^{5} - b\right)} b^{3} + b^{4}\right)}} + \frac{21 \, {\left(\frac{2 \, \sqrt{2} a^{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} + 2 \, {\left(a x^{5} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{3}{4}}} + \frac{2 \, \sqrt{2} a^{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} - 2 \, {\left(a x^{5} - b\right)}^{\frac{1}{4}}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{3}{4}}} + \frac{\sqrt{2} a^{2} \log\left(\sqrt{2} {\left(a x^{5} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{5} - b} + \sqrt{b}\right)}{b^{\frac{3}{4}}} - \frac{\sqrt{2} a^{2} \log\left(-\sqrt{2} {\left(a x^{5} - b\right)}^{\frac{1}{4}} b^{\frac{1}{4}} + \sqrt{a x^{5} - b} + \sqrt{b}\right)}{b^{\frac{3}{4}}}\right)}}{320 \, b^{2}}"," ",0,"1/40*(7*(a*x^5 - b)^(5/4)*a^2 + 11*(a*x^5 - b)^(1/4)*a^2*b)/((a*x^5 - b)^2*b^2 + 2*(a*x^5 - b)*b^3 + b^4) + 21/320*(2*sqrt(2)*a^2*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4) + 2*(a*x^5 - b)^(1/4))/b^(1/4))/b^(3/4) + 2*sqrt(2)*a^2*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4) - 2*(a*x^5 - b)^(1/4))/b^(1/4))/b^(3/4) + sqrt(2)*a^2*log(sqrt(2)*(a*x^5 - b)^(1/4)*b^(1/4) + sqrt(a*x^5 - b) + sqrt(b))/b^(3/4) - sqrt(2)*a^2*log(-sqrt(2)*(a*x^5 - b)^(1/4)*b^(1/4) + sqrt(a*x^5 - b) + sqrt(b))/b^(3/4))/b^2","A",0
2242,0,0,0,0.000000," ","integrate((x^6+1)/(x^4-x^2)^(1/3)/(x^6-1),x, algorithm=""maxima"")","\int \frac{x^{6} + 1}{{\left(x^{6} - 1\right)} {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((x^6 + 1)/((x^6 - 1)*(x^4 - x^2)^(1/3)), x)","F",0
2243,0,0,0,0.000000," ","integrate((a^6*x^6-b^6)/(a^2*x^3+b^2*x)^(1/2)/(a^6*x^6+b^6),x, algorithm=""maxima"")","\int \frac{a^{6} x^{6} - b^{6}}{{\left(a^{6} x^{6} + b^{6}\right)} \sqrt{a^{2} x^{3} + b^{2} x}}\,{d x}"," ",0,"integrate((a^6*x^6 - b^6)/((a^6*x^6 + b^6)*sqrt(a^2*x^3 + b^2*x)), x)","F",0
2244,0,0,0,0.000000," ","integrate((a*x^2+1)/(a*x^2-1)/(a*x+(a^2*x^2+b)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{a x^{2} + 1}{{\left(a x^{2} - 1\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b}}}\,{d x}"," ",0,"integrate((a*x^2 + 1)/((a*x^2 - 1)*sqrt(a*x + sqrt(a^2*x^2 + b))), x)","F",0
2245,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{\frac{a^{2} x^{2}}{b^{2}} - \frac{a}{b^{2}}}}{\sqrt{a x^{2} + \sqrt{\frac{a^{2} x^{2}}{b^{2}} - \frac{a}{b^{2}}} b x} x^{2}}\,{d x}"," ",0,"integrate(sqrt(a^2*x^2/b^2 - a/b^2)/(sqrt(a*x^2 + sqrt(a^2*x^2/b^2 - a/b^2)*b*x)*x^2), x)","F",0
2246,0,0,0,0.000000," ","integrate((p*x^3-2*q)*(p*x^3+q)^(1/2)/(b*x^4+a*(p*x^3+q)^2),x, algorithm=""maxima"")","\int \frac{\sqrt{p x^{3} + q} {\left(p x^{3} - 2 \, q\right)}}{b x^{4} + {\left(p x^{3} + q\right)}^{2} a}\,{d x}"," ",0,"integrate(sqrt(p*x^3 + q)*(p*x^3 - 2*q)/(b*x^4 + (p*x^3 + q)^2*a), x)","F",0
2247,0,0,0,0.000000," ","integrate(x^4*(x^4+1)^(1/2)*(x^2+(x^4+1)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{x^{4} + 1} \sqrt{x^{2} + \sqrt{x^{4} + 1}} x^{4}\,{d x}"," ",0,"integrate(sqrt(x^4 + 1)*sqrt(x^2 + sqrt(x^4 + 1))*x^4, x)","F",0
2248,0,0,0,0.000000," ","integrate((p*x^5+q)^(1/2)*(3*p*x^5-2*q)/(b*x^4+a*(p*x^5+q)^2),x, algorithm=""maxima"")","\int \frac{{\left(3 \, p x^{5} - 2 \, q\right)} \sqrt{p x^{5} + q}}{b x^{4} + {\left(p x^{5} + q\right)}^{2} a}\,{d x}"," ",0,"integrate((3*p*x^5 - 2*q)*sqrt(p*x^5 + q)/(b*x^4 + (p*x^5 + q)^2*a), x)","F",0
2249,0,0,0,0.000000," ","integrate((-3+x)/(-x^2+1)^(1/3)/(x^2+3),x, algorithm=""maxima"")","\int \frac{x - 3}{{\left(x^{2} + 3\right)} {\left(-x^{2} + 1\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((x - 3)/((x^2 + 3)*(-x^2 + 1)^(1/3)), x)","F",0
2250,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(3 \, a b - {\left(a + 2 \, b\right)} x\right)} x^{3}}{{\left(a b^{2} d - {\left(2 \, a + b\right)} b d x + {\left(a + 2 \, b\right)} d x^{2} - {\left(d - 1\right)} x^{3}\right)} \left(-{\left(a - x\right)} {\left(b - x\right)}^{2} x\right)^{\frac{1}{4}} {\left(a - x\right)} {\left(b - x\right)}}\,{d x}"," ",0,"integrate((3*a*b - (a + 2*b)*x)*x^3/((a*b^2*d - (2*a + b)*b*d*x + (a + 2*b)*d*x^2 - (d - 1)*x^3)*(-(a - x)*(b - x)^2*x)^(1/4)*(a - x)*(b - x)), x)","F",0
2251,0,0,0,0.000000," ","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=""maxima"")","\frac{a x^{2}}{4 \, b} + \frac{\frac{b^{2} \operatorname{arsinh}\left(\frac{a x}{b}\right)}{2 \, a} + \frac{1}{2} \, \sqrt{a^{2} x^{2} + b^{2}} x}{2 \, b} - \int -\frac{a b^{2} x - 2 \, a^{2} x^{2} - b^{2} + \sqrt{a^{2} x^{2} + b^{2}} {\left(b^{2} - 2 \, a x\right)}}{2 \, {\left(b^{3} + a b x + 2 \, \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} b^{2} + \sqrt{a^{2} x^{2} + b^{2}} b\right)}}\,{d x}"," ",0,"1/4*a*x^2/b + 1/2*integrate(sqrt(a^2*x^2 + b^2), x)/b - integrate(-1/2*(a*b^2*x - 2*a^2*x^2 - b^2 + sqrt(a^2*x^2 + b^2)*(b^2 - 2*a*x))/(b^3 + a*b*x + 2*sqrt(a*x + sqrt(a^2*x^2 + b^2))*b^2 + sqrt(a^2*x^2 + b^2)*b), x)","F",0
2252,0,0,0,0.000000," ","integrate(1/(x^2+3)/(3*x^2+1)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(3 \, x^{2} + 1\right)}^{\frac{1}{3}} {\left(x^{2} + 3\right)}}\,{d x}"," ",0,"integrate(1/((3*x^2 + 1)^(1/3)*(x^2 + 3)), x)","F",0
2253,0,0,0,0.000000," ","integrate((x^2+1)*(x^5+x^3)^(1/4)/x^2/(x^2-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(x^{2} + 1\right)}}{{\left(x^{2} - 1\right)} x^{2}}\,{d x}"," ",0,"integrate((x^5 + x^3)^(1/4)*(x^2 + 1)/((x^2 - 1)*x^2), x)","F",0
2254,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(2 \, x^{5} - 2 \, x^{4} - x^{2} - 2\right)}^{\frac{1}{4}} {\left(x^{5} + x^{2} + 4\right)}}{{\left(2 \, x^{5} - x^{2} - 2\right)} x^{2}}\,{d x}"," ",0,"integrate((2*x^5 - 2*x^4 - x^2 - 2)^(1/4)*(x^5 + x^2 + 4)/((2*x^5 - x^2 - 2)*x^2), x)","F",0
2255,0,0,0,0.000000," ","integrate((x^4-1)^2*(x^2+(x^4+1)^(1/2))^(1/2)/(x^4+1)^2,x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - 1\right)}^{2} \sqrt{x^{2} + \sqrt{x^{4} + 1}}}{{\left(x^{4} + 1\right)}^{2}}\,{d x}"," ",0,"integrate((x^4 - 1)^2*sqrt(x^2 + sqrt(x^4 + 1))/(x^4 + 1)^2, x)","F",0
2256,0,0,0,0.000000," ","integrate((x^2-1)/(1+x)^(1/2)/(x^2+1)/(1+(1+(1+x)^(1/2))^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} - 1}{{\left(x^{2} + 1\right)} \sqrt{x + 1} \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}}\,{d x}"," ",0,"integrate((x^2 - 1)/((x^2 + 1)*sqrt(x + 1)*sqrt(sqrt(sqrt(x + 1) + 1) + 1)), x)","F",0
2257,0,0,0,0.000000," ","integrate((x^2-1)/(1+x)^(1/2)/(x^2+1)/(1+(1+(1+x)^(1/2))^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} - 1}{{\left(x^{2} + 1\right)} \sqrt{x + 1} \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}}\,{d x}"," ",0,"integrate((x^2 - 1)/((x^2 + 1)*sqrt(x + 1)*sqrt(sqrt(sqrt(x + 1) + 1) + 1)), x)","F",0
2258,0,0,0,0.000000," ","integrate(1/(1-x^(1/2))^(1/2)-(1-x^(1/2)-x)^(1/2),x, algorithm=""maxima"")","\frac{4}{3} \, {\left(-\sqrt{x} + 1\right)}^{\frac{3}{2}} - 4 \, \sqrt{-\sqrt{x} + 1} - \int \sqrt{-x - \sqrt{x} + 1}\,{d x}"," ",0,"4/3*(-sqrt(x) + 1)^(3/2) - 4*sqrt(-sqrt(x) + 1) - integrate(sqrt(-x - sqrt(x) + 1), x)","F",0
2259,0,0,0,0.000000," ","integrate((-5+x)/(x^2-x-2)^(1/3)/(x^2+4*x-3),x, algorithm=""maxima"")","\int \frac{x - 5}{{\left(x^{2} + 4 \, x - 3\right)} {\left(x^{2} - x - 2\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((x - 5)/((x^2 + 4*x - 3)*(x^2 - x - 2)^(1/3)), x)","F",0
2260,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(2 \, a - b - x\right)} {\left(a - x\right)}}{\left(-{\left(a - x\right)} {\left(b - x\right)}^{2}\right)^{\frac{3}{4}} {\left(b^{2} d + d x^{2} - {\left(2 \, b d + 1\right)} x + a\right)}}\,{d x}"," ",0,"integrate((2*a - b - x)*(a - x)/((-(a - x)*(b - x)^2)^(3/4)*(b^2*d + d*x^2 - (2*b*d + 1)*x + a)), x)","F",0
2261,0,0,0,0.000000," ","integrate((1+x)/(x^2+4*x+1)/(-x^3+1)^(1/3),x, algorithm=""maxima"")","\int \frac{x + 1}{{\left(-x^{3} + 1\right)}^{\frac{1}{3}} {\left(x^{2} + 4 \, x + 1\right)}}\,{d x}"," ",0,"integrate((x + 1)/((-x^3 + 1)^(1/3)*(x^2 + 4*x + 1)), x)","F",0
2262,0,0,0,0.000000," ","integrate(x^4/(a*x^4-b)^2/(a*x^4+b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{4} - b\right)}^{2}}\,{d x}"," ",0,"integrate(x^4/((a*x^4 + b*x^2)^(1/4)*(a*x^4 - b)^2), x)","F",0
2263,0,0,0,0.000000," ","integrate(x^4/(a*x^4-b)^2/(a*x^4+b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{4} - b\right)}^{2}}\,{d x}"," ",0,"integrate(x^4/((a*x^4 + b*x^2)^(1/4)*(a*x^4 - b)^2), x)","F",0
2264,0,0,0,0.000000," ","integrate(x^4/(a*x^4-b)^2/(a*x^4+b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{4} - b\right)}^{2}}\,{d x}"," ",0,"integrate(x^4/((a*x^4 + b*x^2)^(1/4)*(a*x^4 - b)^2), x)","F",0
2265,0,0,0,0.000000," ","integrate(x^8/(x^4-1)^(1/2)/(x^16-1),x, algorithm=""maxima"")","\int \frac{x^{8}}{{\left(x^{16} - 1\right)} \sqrt{x^{4} - 1}}\,{d x}"," ",0,"integrate(x^8/((x^16 - 1)*sqrt(x^4 - 1)), x)","F",0
2266,0,0,0,0.000000," ","integrate((b+(a*x^2+b^2)^(1/2))^(1/2)/(a*x^2+b^2)^4,x, algorithm=""maxima"")","\int \frac{\sqrt{b + \sqrt{a x^{2} + b^{2}}}}{{\left(a x^{2} + b^{2}\right)}^{4}}\,{d x}"," ",0,"integrate(sqrt(b + sqrt(a*x^2 + b^2))/(a*x^2 + b^2)^4, x)","F",0
2267,0,0,0,0.000000," ","integrate((x^2+(x^4+1)^(1/2))^(1/2)/(x^2+1),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{2} + \sqrt{x^{4} + 1}}}{x^{2} + 1}\,{d x}"," ",0,"integrate(sqrt(x^2 + sqrt(x^4 + 1))/(x^2 + 1), x)","F",0
2268,0,0,0,0.000000," ","integrate((1-(1-(1-1/x^2)^(1/2))^(1/2))^(1/2)/x,x, algorithm=""maxima"")","\int \frac{\sqrt{-\sqrt{-\sqrt{-\frac{1}{x^{2}} + 1} + 1} + 1}}{x}\,{d x}"," ",0,"integrate(sqrt(-sqrt(-sqrt(-1/x^2 + 1) + 1) + 1)/x, x)","F",0
2269,0,0,0,0.000000," ","integrate(1/(1+x)/(-x^3+1)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(-x^{3} + 1\right)}^{\frac{1}{3}} {\left(x + 1\right)}}\,{d x}"," ",0,"integrate(1/((-x^3 + 1)^(1/3)*(x + 1)), x)","F",0
2270,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a b - 2 \, b x + x^{2}\right)} {\left(b^{2} - 2 \, b x + x^{2}\right)}}{\left({\left(a - x\right)} {\left(b - x\right)}^{3} x\right)^{\frac{3}{4}} {\left(b d - {\left(a + d\right)} x + x^{2}\right)}}\,{d x}"," ",0,"integrate((a*b - 2*b*x + x^2)*(b^2 - 2*b*x + x^2)/(((a - x)*(b - x)^3*x)^(3/4)*(b*d - (a + d)*x + x^2)), x)","F",0
2271,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{2 \, a b - {\left(a + b\right)} x}{\left({\left(a - x\right)} {\left(b - x\right)} x\right)^{\frac{1}{3}} {\left({\left(d - 1\right)} x^{2} - a b + {\left(a + b\right)} x\right)}}\,{d x}"," ",0,"-integrate((2*a*b - (a + b)*x)/(((a - x)*(b - x)*x)^(1/3)*((d - 1)*x^2 - a*b + (a + b)*x)), x)","F",0
2272,0,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(x^3+1)/x^6/(x^3+2),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} + 1\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{{\left(x^{3} + 2\right)} x^{6}}\,{d x}"," ",0,"integrate((x^3 + 1)*(x^3 - 1)^(2/3)/((x^3 + 2)*x^6), x)","F",0
2273,0,0,0,0.000000," ","integrate(1/(1+x)/(-2*x^4+3*x^3-2*x^2+3*x-2)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(-2 \, x^{4} + 3 \, x^{3} - 2 \, x^{2} + 3 \, x - 2\right)}^{\frac{3}{2}} {\left(x + 1\right)}}\,{d x}"," ",0,"integrate(1/((-2*x^4 + 3*x^3 - 2*x^2 + 3*x - 2)^(3/2)*(x + 1)), x)","F",0
2274,0,0,0,0.000000," ","integrate(x^2*(x^4+x^3)^(1/4)/(x^4-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x^{2}}{x^{4} - 1}\,{d x}"," ",0,"integrate((x^4 + x^3)^(1/4)*x^2/(x^4 - 1), x)","F",0
2275,0,0,0,0.000000," ","integrate(x^2*(x^4+x^3)^(1/4)/(x^4-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} x^{2}}{x^{4} - 1}\,{d x}"," ",0,"integrate((x^4 + x^3)^(1/4)*x^2/(x^4 - 1), x)","F",0
2276,0,0,0,0.000000," ","integrate(1/(x^3-x)^(1/3)/(x^6+1),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{6} + 1\right)} {\left(x^{3} - x\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((x^6 + 1)*(x^3 - x)^(1/3)), x)","F",0
2277,0,0,0,0.000000," ","integrate(1/(x^3-x)^(1/3)/(x^6+1),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{6} + 1\right)} {\left(x^{3} - x\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((x^6 + 1)*(x^3 - x)^(1/3)), x)","F",0
2278,0,0,0,0.000000," ","integrate((x^4-x)^(1/2)/(a*x^6-b),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{4} - x}}{a x^{6} - b}\,{d x}"," ",0,"integrate(sqrt(x^4 - x)/(a*x^6 - b), x)","F",0
2279,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(4 \, x^{16} - 3 \, x^{8} + 1\right)} {\left(2 \, x^{8} - 2 \, x^{4} - 1\right)}^{\frac{1}{4}} {\left(2 \, x^{8} + 1\right)}}{{\left(2 \, x^{8} - 1\right)} x^{10}}\,{d x}"," ",0,"integrate((4*x^16 - 3*x^8 + 1)*(2*x^8 - 2*x^4 - 1)^(1/4)*(2*x^8 + 1)/((2*x^8 - 1)*x^10), x)","F",0
2280,0,0,0,0.000000," ","integrate((a*x^2+b^2)^(3/2)/(b+(a*x^2+b^2)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(a x^{2} + b^{2}\right)}^{\frac{3}{2}}}{\sqrt{b + \sqrt{a x^{2} + b^{2}}}}\,{d x}"," ",0,"integrate((a*x^2 + b^2)^(3/2)/sqrt(b + sqrt(a*x^2 + b^2)), x)","F",0
2281,0,0,0,0.000000," ","integrate(x*(p*x^6-2*q)*(p*x^6+q)^(1/2)/(b*x^8+a*(p*x^6+q)^2),x, algorithm=""maxima"")","\int \frac{\sqrt{p x^{6} + q} {\left(p x^{6} - 2 \, q\right)} x}{b x^{8} + {\left(p x^{6} + q\right)}^{2} a}\,{d x}"," ",0,"integrate(sqrt(p*x^6 + q)*(p*x^6 - 2*q)*x/(b*x^8 + (p*x^6 + q)^2*a), x)","F",0
2282,0,0,0,0.000000," ","integrate((6*x^2-2*x-1)^(1/3)/(-1+6*x),x, algorithm=""maxima"")","\int \frac{{\left(6 \, x^{2} - 2 \, x - 1\right)}^{\frac{1}{3}}}{6 \, x - 1}\,{d x}"," ",0,"integrate((6*x^2 - 2*x - 1)^(1/3)/(6*x - 1), x)","F",0
2283,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{2 \, a b x - {\left(a + b\right)} x^{2}}{\left({\left(a - x\right)} {\left(b - x\right)} x\right)^{\frac{2}{3}} {\left({\left(d - 1\right)} x^{2} - a b + {\left(a + b\right)} x\right)}}\,{d x}"," ",0,"-integrate((2*a*b*x - (a + b)*x^2)/(((a - x)*(b - x)*x)^(2/3)*((d - 1)*x^2 - a*b + (a + b)*x)), x)","F",0
2284,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(a b - x^{2}\right)} x}{\left({\left(a - x\right)} {\left(b - x\right)} x^{2}\right)^{\frac{2}{3}} {\left(a b d + d x^{2} - {\left(a d + b d + 1\right)} x\right)}}\,{d x}"," ",0,"-integrate((a*b - x^2)*x/(((a - x)*(b - x)*x^2)^(2/3)*(a*b*d + d*x^2 - (a*d + b*d + 1)*x)), x)","F",0
2285,0,0,0,0.000000," ","integrate((x^3-2)*(x^3-1)^(2/3)/x^3/(2*x^3-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} - 1\right)}^{\frac{2}{3}} {\left(x^{3} - 2\right)}}{{\left(2 \, x^{3} - 1\right)} x^{3}}\,{d x}"," ",0,"integrate((x^3 - 1)^(2/3)*(x^3 - 2)/((2*x^3 - 1)*x^3), x)","F",0
2286,0,0,0,0.000000," ","integrate((a*x^2-b)*(a*x^4-b*x^2)^(1/4)/(a*x^2+b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{2} - b\right)}}{a x^{2} + b}\,{d x}"," ",0,"integrate((a*x^4 - b*x^2)^(1/4)*(a*x^2 - b)/(a*x^2 + b), x)","F",0
2287,0,0,0,0.000000," ","integrate((x^3+1)/(x^3-1)/(a*x^4+b*x^3+c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{3} + 1}{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left(x^{3} - 1\right)}}\,{d x}"," ",0,"integrate((x^3 + 1)/(sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*(x^3 - 1)), x)","F",0
2288,0,0,0,0.000000," ","integrate((a*x^6-b)/(x^3-x)^(1/3)/(c*x^6-d),x, algorithm=""maxima"")","\int \frac{a x^{6} - b}{{\left(c x^{6} - d\right)} {\left(x^{3} - x\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((a*x^6 - b)/((c*x^6 - d)*(x^3 - x)^(1/3)), x)","F",0
2289,0,0,0,0.000000," ","integrate((a*x^6-b)/(x^3-x)^(1/3)/(c*x^6-d),x, algorithm=""maxima"")","\int \frac{a x^{6} - b}{{\left(c x^{6} - d\right)} {\left(x^{3} - x\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((a*x^6 - b)/((c*x^6 - d)*(x^3 - x)^(1/3)), x)","F",0
2290,1,92,0,0.313731," ","integrate(1/(d+(c+(a*x+b)^(1/2))^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{8 \, {\left(15 \, {\left(d + \sqrt{c + \sqrt{a x + b}}\right)}^{\frac{7}{2}} - 63 \, {\left(d + \sqrt{c + \sqrt{a x + b}}\right)}^{\frac{5}{2}} d + 35 \, {\left(3 \, d^{2} - c\right)} {\left(d + \sqrt{c + \sqrt{a x + b}}\right)}^{\frac{3}{2}} - 105 \, {\left(d^{3} - c d\right)} \sqrt{d + \sqrt{c + \sqrt{a x + b}}}\right)}}{105 \, a}"," ",0,"8/105*(15*(d + sqrt(c + sqrt(a*x + b)))^(7/2) - 63*(d + sqrt(c + sqrt(a*x + b)))^(5/2)*d + 35*(3*d^2 - c)*(d + sqrt(c + sqrt(a*x + b)))^(3/2) - 105*(d^3 - c*d)*sqrt(d + sqrt(c + sqrt(a*x + b))))/a","A",0
2291,0,0,0,0.000000," ","integrate(1/x/(x^2+3*x+3)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{2} + 3 \, x + 3\right)}^{\frac{1}{3}} x}\,{d x}"," ",0,"integrate(1/((x^2 + 3*x + 3)^(1/3)*x), x)","F",0
2292,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{a b - x^{2}}{\left({\left(a - x\right)} {\left(b - x\right)} x^{2}\right)^{\frac{1}{3}} {\left(a b d + d x^{2} - {\left(a d + b d + 1\right)} x\right)}}\,{d x}"," ",0,"-integrate((a*b - x^2)/(((a - x)*(b - x)*x^2)^(1/3)*(a*b*d + d*x^2 - (a*d + b*d + 1)*x)), x)","F",0
2293,0,0,0,0.000000," ","integrate((-3+2*x)*(x^3-x+1)^(2/3)/x^3/(x^3+2*x-2),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} - x + 1\right)}^{\frac{2}{3}} {\left(2 \, x - 3\right)}}{{\left(x^{3} + 2 \, x - 2\right)} x^{3}}\,{d x}"," ",0,"integrate((x^3 - x + 1)^(2/3)*(2*x - 3)/((x^3 + 2*x - 2)*x^3), x)","F",0
2294,0,0,0,0.000000," ","integrate((-3+4*x)*(x^3+2*x-1)^(2/3)/x^3/(x^3-4*x+2),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} + 2 \, x - 1\right)}^{\frac{2}{3}} {\left(4 \, x - 3\right)}}{{\left(x^{3} - 4 \, x + 2\right)} x^{3}}\,{d x}"," ",0,"integrate((x^3 + 2*x - 1)^(2/3)*(4*x - 3)/((x^3 - 4*x + 2)*x^3), x)","F",0
2295,0,0,0,0.000000," ","integrate((x^6-13*x^5+65*x^4-150*x^3+135*x^2+27*x-81)^(1/2)/(-1+x),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{6} - 13 \, x^{5} + 65 \, x^{4} - 150 \, x^{3} + 135 \, x^{2} + 27 \, x - 81}}{x - 1}\,{d x}"," ",0,"integrate(sqrt(x^6 - 13*x^5 + 65*x^4 - 150*x^3 + 135*x^2 + 27*x - 81)/(x - 1), x)","F",0
2296,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{p^{2} x^{6} + 2 \, p q x^{3} - 2 \, p q x^{2} + q^{2}} {\left(2 \, p x^{3} - q\right)}}{{\left(a p x^{3} + a q + b x\right)} x^{2}}\,{d x}"," ",0,"integrate(sqrt(p^2*x^6 + 2*p*q*x^3 - 2*p*q*x^2 + q^2)*(2*p*x^3 - q)/((a*p*x^3 + a*q + b*x)*x^2), x)","F",0
2297,0,0,0,0.000000," ","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=""maxima"")","\int \frac{1}{{\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^{2}}\,{d x}"," ",0,"integrate(1/((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^2), x)","F",0
2298,0,0,0,0.000000," ","integrate((x^2+1)*(x^2+(x^4+1)^(1/2))^(1/2)/(x^2-1)/(x^4+1)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(x^{2} + 1\right)}}{\sqrt{x^{4} + 1} {\left(x^{2} - 1\right)}}\,{d x}"," ",0,"integrate(sqrt(x^2 + sqrt(x^4 + 1))*(x^2 + 1)/(sqrt(x^4 + 1)*(x^2 - 1)), x)","F",0
2299,0,0,0,0.000000," ","integrate((2+x)/(-3+x)/(-x^2+1)^(1/4)/(x^2+1),x, algorithm=""maxima"")","\int \frac{x + 2}{{\left(x^{2} + 1\right)} {\left(-x^{2} + 1\right)}^{\frac{1}{4}} {\left(x - 3\right)}}\,{d x}"," ",0,"integrate((x + 2)/((x^2 + 1)*(-x^2 + 1)^(1/4)*(x - 3)), x)","F",0
2300,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a^{2} x^{6} + c x^{3} + 2 \, b^{2}\right)} \sqrt{a^{2} x^{3} + b^{2}}}{{\left(a^{2} x^{6} - b^{2}\right)} x}\,{d x}"," ",0,"integrate((a^2*x^6 + c*x^3 + 2*b^2)*sqrt(a^2*x^3 + b^2)/((a^2*x^6 - b^2)*x), x)","F",0
2301,0,0,0,0.000000," ","integrate((2*x^8-x^4+1)/(x^4+1)^(1/4)/(x^8-2*x^4-1),x, algorithm=""maxima"")","\int \frac{2 \, x^{8} - x^{4} + 1}{{\left(x^{8} - 2 \, x^{4} - 1\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((2*x^8 - x^4 + 1)/((x^8 - 2*x^4 - 1)*(x^4 + 1)^(1/4)), x)","F",0
2302,0,0,0,0.000000," ","integrate((x^2-1)*(x^2+(x^4+1)^(1/2))^(1/2)/(x^2+1)/(x^4+1)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(x^{2} - 1\right)}}{\sqrt{x^{4} + 1} {\left(x^{2} + 1\right)}}\,{d x}"," ",0,"integrate(sqrt(x^2 + sqrt(x^4 + 1))*(x^2 - 1)/(sqrt(x^4 + 1)*(x^2 + 1)), x)","F",0
2303,0,0,0,0.000000," ","integrate(x/(x+(c+(a*x+b)^(1/2))^(1/2)),x, algorithm=""maxima"")","\int \frac{x}{x + \sqrt{c + \sqrt{a x + b}}}\,{d x}"," ",0,"integrate(x/(x + sqrt(c + sqrt(a*x + b))), x)","F",0
2304,0,0,0,0.000000," ","integrate(x/(x+(c+(a*x+b)^(1/2))^(1/2)),x, algorithm=""maxima"")","\int \frac{x}{x + \sqrt{c + \sqrt{a x + b}}}\,{d x}"," ",0,"integrate(x/(x + sqrt(c + sqrt(a*x + b))), x)","F",0
2305,0,0,0,0.000000," ","integrate(1/(1+x)/(x^2-x+1)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{2} - x + 1\right)}^{\frac{1}{3}} {\left(x + 1\right)}}\,{d x}"," ",0,"integrate(1/((x^2 - x + 1)^(1/3)*(x + 1)), x)","F",0
2306,0,0,0,0.000000," ","integrate((x^4+1)*(x^4-x^3)^(1/4)/x^4/(x^4-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(x^{4} + 1\right)}}{{\left(x^{4} - 1\right)} x^{4}}\,{d x}"," ",0,"integrate((x^4 - x^3)^(1/4)*(x^4 + 1)/((x^4 - 1)*x^4), x)","F",0
2307,0,0,0,0.000000," ","integrate((x^4+1)*(x^4-x^3)^(1/4)/x^4/(x^4-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(x^{4} + 1\right)}}{{\left(x^{4} - 1\right)} x^{4}}\,{d x}"," ",0,"integrate((x^4 - x^3)^(1/4)*(x^4 + 1)/((x^4 - 1)*x^4), x)","F",0
2308,0,0,0,0.000000," ","integrate((a*x^3+b*x)^(1/3)*(a*x^4+b)/x^4,x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} + b\right)} {\left(a x^{3} + b x\right)}^{\frac{1}{3}}}{x^{4}}\,{d x}"," ",0,"integrate((a*x^4 + b)*(a*x^3 + b*x)^(1/3)/x^4, x)","F",0
2309,0,0,0,0.000000," ","integrate((a^4*x^4+b^4)/(a^2*x^3-b^2*x)^(1/2)/(a^4*x^4-b^4),x, algorithm=""maxima"")","\int \frac{a^{4} x^{4} + b^{4}}{{\left(a^{4} x^{4} - b^{4}\right)} \sqrt{a^{2} x^{3} - b^{2} x}}\,{d x}"," ",0,"integrate((a^4*x^4 + b^4)/((a^4*x^4 - b^4)*sqrt(a^2*x^3 - b^2*x)), x)","F",0
2310,0,0,0,0.000000," ","integrate((1+x)/(x^3-1)/(x^8-16*x^6+96*x^4-256*x^2+256)^(1/8),x, algorithm=""maxima"")","\int \frac{x + 1}{{\left(x^{8} - 16 \, x^{6} + 96 \, x^{4} - 256 \, x^{2} + 256\right)}^{\frac{1}{8}} {\left(x^{3} - 1\right)}}\,{d x}"," ",0,"integrate((x + 1)/((x^8 - 16*x^6 + 96*x^4 - 256*x^2 + 256)^(1/8)*(x^3 - 1)), x)","F",0
2311,0,0,0,0.000000," ","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=""maxima"")","\int \frac{1}{{\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^{2}}\,{d x}"," ",0,"integrate(1/((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)","F",0
2312,0,0,0,0.000000," ","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=""maxima"")","c \int \frac{{\left(a x^{5} - 4 \, b\right)} x^{6}}{{\left(a^{2} x^{10} - c^{2} x^{8} + 2 \, a b x^{5} + b^{2}\right)} {\left(a x^{5} + b\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"c*integrate((a*x^5 - 4*b)*x^6/((a^2*x^10 - c^2*x^8 + 2*a*b*x^5 + b^2)*(a*x^5 + b)^(3/4)), x)","F",0
2313,0,0,0,0.000000," ","integrate(x^2*(a*x+(a*x-b)^(1/2))^(1/2)/(a*x-b)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{a x + \sqrt{a x - b}} x^{2}}{\sqrt{a x - b}}\,{d x}"," ",0,"integrate(sqrt(a*x + sqrt(a*x - b))*x^2/sqrt(a*x - b), x)","F",0
2314,0,0,0,0.000000," ","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=""maxima"")","\int \frac{a k^{4} x^{4} + b x^{2} + a}{{\left(k^{4} x^{4} - 1\right)} \sqrt{{\left(k^{2} x - 1\right)} {\left(x - 1\right)} x}}\,{d x}"," ",0,"integrate((a*k^4*x^4 + b*x^2 + a)/((k^4*x^4 - 1)*sqrt((k^2*x - 1)*(x - 1)*x)), x)","F",0
2315,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a p^{2} x^{6} + 2 \, a p q x^{3} + b x^{4} + a q^{2}\right)} \sqrt{p^{2} x^{6} - 2 \, p q x^{4} + 2 \, p q x^{3} + q^{2}} {\left(p x^{3} - 2 \, q\right)}}{x^{9}}\,{d x}"," ",0,"integrate((a*p^2*x^6 + 2*a*p*q*x^3 + b*x^4 + a*q^2)*sqrt(p^2*x^6 - 2*p*q*x^4 + 2*p*q*x^3 + q^2)*(p*x^3 - 2*q)/x^9, x)","F",0
2316,0,0,0,0.000000," ","integrate((x^3-1)/(x^3+1)/(a*x^4+b*x^3+c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{3} - 1}{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left(x^{3} + 1\right)}}\,{d x}"," ",0,"integrate((x^3 - 1)/(sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*(x^3 + 1)), x)","F",0
2317,0,0,0,0.000000," ","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=""maxima"")","\int \frac{3 \, k x^{3} - 4 \, {\left(k + 1\right)} x^{2} + 5 \, x}{{\left(b x^{5} - k x^{2} + {\left(k + 1\right)} x - 1\right)} \left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((3*k*x^3 - 4*(k + 1)*x^2 + 5*x)/((b*x^5 - k*x^2 + (k + 1)*x - 1)*((k*x - 1)*(x - 1)*x)^(1/3)), x)","F",0
2318,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(6 \, k x^{2} - 7 \, {\left(k + 1\right)} x + 8\right)} x^{2}}{{\left(b x^{8} - k x^{2} + {\left(k + 1\right)} x - 1\right)} \left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((6*k*x^2 - 7*(k + 1)*x + 8)*x^2/((b*x^8 - k*x^2 + (k + 1)*x - 1)*((k*x - 1)*(x - 1)*x)^(1/3)), x)","F",0
2319,0,0,0,0.000000," ","integrate(x*(-a*b+x^2)/(x^2*(-a+x)*(-b+x))^(2/3)/(a*b-(a+b+d)*x+x^2),x, algorithm=""maxima"")","-\int \frac{{\left(a b - x^{2}\right)} x}{\left({\left(a - x\right)} {\left(b - x\right)} x^{2}\right)^{\frac{2}{3}} {\left(a b - {\left(a + b + d\right)} x + x^{2}\right)}}\,{d x}"," ",0,"-integrate((a*b - x^2)*x/(((a - x)*(b - x)*x^2)^(2/3)*(a*b - (a + b + d)*x + x^2)), x)","F",0
2320,1,412,0,0.431096," ","integrate((x^3+b)*(x^3+c)/(x^3+a)^(1/3),x, algorithm=""maxima"")","-\frac{2}{27} \, \sqrt{3} a^{2} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{3} + a\right)}^{\frac{1}{3}}}{x} + 1\right)}\right) - \frac{1}{6} \, {\left(2 \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{3} + a\right)}^{\frac{1}{3}}}{x} + 1\right)}\right) - \log\left(\frac{{\left(x^{3} + a\right)}^{\frac{1}{3}}}{x} + \frac{{\left(x^{3} + a\right)}^{\frac{2}{3}}}{x^{2}} + 1\right) + 2 \, \log\left(\frac{{\left(x^{3} + a\right)}^{\frac{1}{3}}}{x} - 1\right)\right)} b c + \frac{1}{27} \, a^{2} \log\left(\frac{{\left(x^{3} + a\right)}^{\frac{1}{3}}}{x} + \frac{{\left(x^{3} + a\right)}^{\frac{2}{3}}}{x^{2}} + 1\right) - \frac{2}{27} \, a^{2} \log\left(\frac{{\left(x^{3} + a\right)}^{\frac{1}{3}}}{x} - 1\right) + \frac{1}{18} \, {\left(2 \, \sqrt{3} a \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{3} + a\right)}^{\frac{1}{3}}}{x} + 1\right)}\right) - a \log\left(\frac{{\left(x^{3} + a\right)}^{\frac{1}{3}}}{x} + \frac{{\left(x^{3} + a\right)}^{\frac{2}{3}}}{x^{2}} + 1\right) + 2 \, a \log\left(\frac{{\left(x^{3} + a\right)}^{\frac{1}{3}}}{x} - 1\right) + \frac{6 \, {\left(x^{3} + a\right)}^{\frac{2}{3}} a}{x^{2} {\left(\frac{x^{3} + a}{x^{3}} - 1\right)}}\right)} b + \frac{1}{18} \, {\left(2 \, \sqrt{3} a \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{3} + a\right)}^{\frac{1}{3}}}{x} + 1\right)}\right) - a \log\left(\frac{{\left(x^{3} + a\right)}^{\frac{1}{3}}}{x} + \frac{{\left(x^{3} + a\right)}^{\frac{2}{3}}}{x^{2}} + 1\right) + 2 \, a \log\left(\frac{{\left(x^{3} + a\right)}^{\frac{1}{3}}}{x} - 1\right) + \frac{6 \, {\left(x^{3} + a\right)}^{\frac{2}{3}} a}{x^{2} {\left(\frac{x^{3} + a}{x^{3}} - 1\right)}}\right)} c - \frac{\frac{7 \, {\left(x^{3} + a\right)}^{\frac{2}{3}} a^{2}}{x^{2}} - \frac{4 \, {\left(x^{3} + a\right)}^{\frac{5}{3}} a^{2}}{x^{5}}}{18 \, {\left(\frac{2 \, {\left(x^{3} + a\right)}}{x^{3}} - \frac{{\left(x^{3} + a\right)}^{2}}{x^{6}} - 1\right)}}"," ",0,"-2/27*sqrt(3)*a^2*arctan(1/3*sqrt(3)*(2*(x^3 + a)^(1/3)/x + 1)) - 1/6*(2*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^3 + a)^(1/3)/x + 1)) - log((x^3 + a)^(1/3)/x + (x^3 + a)^(2/3)/x^2 + 1) + 2*log((x^3 + a)^(1/3)/x - 1))*b*c + 1/27*a^2*log((x^3 + a)^(1/3)/x + (x^3 + a)^(2/3)/x^2 + 1) - 2/27*a^2*log((x^3 + a)^(1/3)/x - 1) + 1/18*(2*sqrt(3)*a*arctan(1/3*sqrt(3)*(2*(x^3 + a)^(1/3)/x + 1)) - a*log((x^3 + a)^(1/3)/x + (x^3 + a)^(2/3)/x^2 + 1) + 2*a*log((x^3 + a)^(1/3)/x - 1) + 6*(x^3 + a)^(2/3)*a/(x^2*((x^3 + a)/x^3 - 1)))*b + 1/18*(2*sqrt(3)*a*arctan(1/3*sqrt(3)*(2*(x^3 + a)^(1/3)/x + 1)) - a*log((x^3 + a)^(1/3)/x + (x^3 + a)^(2/3)/x^2 + 1) + 2*a*log((x^3 + a)^(1/3)/x - 1) + 6*(x^3 + a)^(2/3)*a/(x^2*((x^3 + a)/x^3 - 1)))*c - 1/18*(7*(x^3 + a)^(2/3)*a^2/x^2 - 4*(x^3 + a)^(5/3)*a^2/x^5)/(2*(x^3 + a)/x^3 - (x^3 + a)^2/x^6 - 1)","B",0
2321,0,0,0,0.000000," ","integrate(1/(x^3+1)/(x^3-x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(x^{3} + 1\right)}}\,{d x}"," ",0,"integrate(1/((x^3 - x^2)^(1/3)*(x^3 + 1)), x)","F",0
2322,0,0,0,0.000000," ","integrate(1/(x^3+1)/(x^3-x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(x^{3} + 1\right)}}\,{d x}"," ",0,"integrate(1/((x^3 - x^2)^(1/3)*(x^3 + 1)), x)","F",0
2323,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{p^{2} x^{6} - 2 \, p q x^{4} + 2 \, p q x^{3} + q^{2}} {\left(p x^{3} - 2 \, q\right)}}{{\left(a p x^{3} + b x^{2} + a q\right)} x^{3}}\,{d x}"," ",0,"integrate(sqrt(p^2*x^6 - 2*p*q*x^4 + 2*p*q*x^3 + q^2)*(p*x^3 - 2*q)/((a*p*x^3 + b*x^2 + a*q)*x^3), x)","F",0
2324,0,0,0,0.000000," ","integrate((x^6+x^2)^(1/4)*(x^8+1)/x^4/(x^4-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{8} + 1\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}}}{{\left(x^{4} - 1\right)} x^{4}}\,{d x}"," ",0,"integrate((x^8 + 1)*(x^6 + x^2)^(1/4)/((x^4 - 1)*x^4), x)","F",0
2325,0,0,0,0.000000," ","integrate((x^6+x^2)^(1/4)*(x^8+1)/x^4/(x^4-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{8} + 1\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}}}{{\left(x^{4} - 1\right)} x^{4}}\,{d x}"," ",0,"integrate((x^8 + 1)*(x^6 + x^2)^(1/4)/((x^4 - 1)*x^4), x)","F",0
2326,0,0,0,0.000000," ","integrate(1/x/(x^2-3*x+2)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{2} - 3 \, x + 2\right)}^{\frac{1}{3}} x}\,{d x}"," ",0,"integrate(1/((x^2 - 3*x + 2)^(1/3)*x), x)","F",0
2327,0,0,0,0.000000," ","integrate((a*b-x^2)/(x^2*(-a+x)*(-b+x))^(1/3)/(a*b-(a+b+d)*x+x^2),x, algorithm=""maxima"")","\int \frac{a b - x^{2}}{\left({\left(a - x\right)} {\left(b - x\right)} x^{2}\right)^{\frac{1}{3}} {\left(a b - {\left(a + b + d\right)} x + x^{2}\right)}}\,{d x}"," ",0,"integrate((a*b - x^2)/(((a - x)*(b - x)*x^2)^(1/3)*(a*b - (a + b + d)*x + x^2)), x)","F",0
2328,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{p^{2} x^{6} + 2 \, p q x^{3} - 2 \, p q x^{2} + q^{2}} {\left(2 \, p x^{3} - q\right)} {\left({\left(p x^{3} + q\right)}^{2} a + b x^{2}\right)}}{x^{5}}\,{d x}"," ",0,"integrate(sqrt(p^2*x^6 + 2*p*q*x^3 - 2*p*q*x^2 + q^2)*(2*p*x^3 - q)*((p*x^3 + q)^2*a + b*x^2)/x^5, x)","F",0
2329,0,0,0,0.000000," ","integrate((1+x)/(-1+x)/(1+(1+(1+x)^(1/2))^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{x + 1}{{\left(x - 1\right)} \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}}\,{d x}"," ",0,"integrate((x + 1)/((x - 1)*sqrt(sqrt(sqrt(x + 1) + 1) + 1)), x)","F",0
2330,0,0,0,0.000000," ","integrate((1+x)/(-1+x)/(1+(1+(1+x)^(1/2))^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{x + 1}{{\left(x - 1\right)} \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}}\,{d x}"," ",0,"integrate((x + 1)/((x - 1)*sqrt(sqrt(sqrt(x + 1) + 1) + 1)), x)","F",0
2331,0,0,0,0.000000," ","integrate(1/(d+c*x+(a*x+(a^2*x^2+b^2)^(1/2))^(1/2)),x, algorithm=""maxima"")","\int \frac{1}{c x + d + \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}}\,{d x}"," ",0,"integrate(1/(c*x + d + sqrt(a*x + sqrt(a^2*x^2 + b^2))), x)","F",0
2332,0,0,0,0.000000," ","integrate(1/(d+c*x+(a*x+(a^2*x^2+b^2)^(1/2))^(1/2)),x, algorithm=""maxima"")","\int \frac{1}{c x + d + \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}}\,{d x}"," ",0,"integrate(1/(c*x + d + sqrt(a*x + sqrt(a^2*x^2 + b^2))), x)","F",0
2333,1,219,0,0.672951," ","integrate((c*x-d)/x^7/(a*x^3-b)^(1/3),x, algorithm=""maxima"")","-\frac{1}{54} \, {\left(\frac{4 \, \sqrt{3} a^{2} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(a x^{3} - b\right)}^{\frac{1}{3}} - b^{\frac{1}{3}}\right)}}{3 \, b^{\frac{1}{3}}}\right)}{b^{\frac{7}{3}}} + \frac{2 \, a^{2} \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)}{b^{\frac{7}{3}}} - \frac{4 \, a^{2} \log\left({\left(a x^{3} - b\right)}^{\frac{1}{3}} + b^{\frac{1}{3}}\right)}{b^{\frac{7}{3}}} + \frac{3 \, {\left(4 \, {\left(a x^{3} - b\right)}^{\frac{5}{3}} a^{2} + 7 \, {\left(a x^{3} - b\right)}^{\frac{2}{3}} a^{2} b\right)}}{{\left(a x^{3} - b\right)}^{2} b^{2} + 2 \, {\left(a x^{3} - b\right)} b^{3} + b^{4}}\right)} d + \frac{c {\left(\frac{5 \, {\left(a x^{3} - b\right)}^{\frac{2}{3}} a}{x^{2}} - \frac{2 \, {\left(a x^{3} - b\right)}^{\frac{5}{3}}}{x^{5}}\right)}}{10 \, b^{2}}"," ",0,"-1/54*(4*sqrt(3)*a^2*arctan(1/3*sqrt(3)*(2*(a*x^3 - b)^(1/3) - b^(1/3))/b^(1/3))/b^(7/3) + 2*a^2*log((a*x^3 - b)^(2/3) - (a*x^3 - b)^(1/3)*b^(1/3) + b^(2/3))/b^(7/3) - 4*a^2*log((a*x^3 - b)^(1/3) + b^(1/3))/b^(7/3) + 3*(4*(a*x^3 - b)^(5/3)*a^2 + 7*(a*x^3 - b)^(2/3)*a^2*b)/((a*x^3 - b)^2*b^2 + 2*(a*x^3 - b)*b^3 + b^4))*d + 1/10*c*(5*(a*x^3 - b)^(2/3)*a/x^2 - 2*(a*x^3 - b)^(5/3)/x^5)/b^2","A",0
2334,0,0,0,0.000000," ","integrate((x^4+x^2+1)/(-x^4+1)/(x^5+x^3)^(1/4),x, algorithm=""maxima"")","-\int \frac{x^{4} + x^{2} + 1}{{\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(x^{4} - 1\right)}}\,{d x}"," ",0,"-integrate((x^4 + x^2 + 1)/((x^5 + x^3)^(1/4)*(x^4 - 1)), x)","F",0
2335,0,0,0,0.000000," ","integrate((2*x^4-1)^(1/2)*(2*x^8-1)/x^7/(x^8+2*x^4-1),x, algorithm=""maxima"")","\int \frac{{\left(2 \, x^{8} - 1\right)} \sqrt{2 \, x^{4} - 1}}{{\left(x^{8} + 2 \, x^{4} - 1\right)} x^{7}}\,{d x}"," ",0,"integrate((2*x^8 - 1)*sqrt(2*x^4 - 1)/((x^8 + 2*x^4 - 1)*x^7), x)","F",0
2336,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{x + 1} \sqrt{\sqrt{x + 1} + 1}}{x \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}}\,{d x}"," ",0,"integrate(sqrt(x + 1)*sqrt(sqrt(x + 1) + 1)/(x*sqrt(sqrt(sqrt(x + 1) + 1) + 1)), x)","F",0
2337,0,0,0,0.000000," ","integrate((1+x)/(3+x)/(1+2*x)/(x^2+1)^(1/3),x, algorithm=""maxima"")","\int \frac{x + 1}{{\left(x^{2} + 1\right)}^{\frac{1}{3}} {\left(2 \, x + 1\right)} {\left(x + 3\right)}}\,{d x}"," ",0,"integrate((x + 1)/((x^2 + 1)^(1/3)*(2*x + 1)*(x + 3)), x)","F",0
2338,0,0,0,0.000000," ","integrate((x^3-x^2)^(1/3)/(x^2+x+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{x^{2} + x + 1}\,{d x}"," ",0,"integrate((x^3 - x^2)^(1/3)/(x^2 + x + 1), x)","F",0
2339,0,0,0,0.000000," ","integrate((x^3-x^2)^(1/3)/(x^2+x+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{x^{2} + x + 1}\,{d x}"," ",0,"integrate((x^3 - x^2)^(1/3)/(x^2 + x + 1), x)","F",0
2340,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(3 \, k x^{2} - 4 \, {\left(k + 1\right)} x + 5\right)} x}{{\left(x^{5} - b k x^{2} + {\left(b k + b\right)} x - b\right)} \left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((3*k*x^2 - 4*(k + 1)*x + 5)*x/((x^5 - b*k*x^2 + (b*k + b)*x - b)*((k*x - 1)*(x - 1)*x)^(1/3)), x)","F",0
2341,0,0,0,0.000000," ","integrate((x^4+1)/(-x^4+1)/(x^5+x^3)^(1/4),x, algorithm=""maxima"")","-\int \frac{x^{4} + 1}{{\left(x^{5} + x^{3}\right)}^{\frac{1}{4}} {\left(x^{4} - 1\right)}}\,{d x}"," ",0,"-integrate((x^4 + 1)/((x^5 + x^3)^(1/4)*(x^4 - 1)), x)","F",0
2342,0,0,0,0.000000," ","integrate((x^3+1)^(2/3)*(x^6+x^3+2)/x^6/(x^3-2)^2,x, algorithm=""maxima"")","\int \frac{{\left(x^{6} + x^{3} + 2\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{{\left(x^{3} - 2\right)}^{2} x^{6}}\,{d x}"," ",0,"integrate((x^6 + x^3 + 2)*(x^3 + 1)^(2/3)/((x^3 - 2)^2*x^6), x)","F",0
2343,0,0,0,0.000000," ","integrate((x^8+1)/(x^6+x^2)^(1/4)/(x^8-1),x, algorithm=""maxima"")","\int \frac{x^{8} + 1}{{\left(x^{8} - 1\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((x^8 + 1)/((x^8 - 1)*(x^6 + x^2)^(1/4)), x)","F",0
2344,0,0,0,0.000000," ","integrate((x^8+1)/(x^6+x^2)^(1/4)/(x^8-1),x, algorithm=""maxima"")","\int \frac{x^{8} + 1}{{\left(x^{8} - 1\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((x^8 + 1)/((x^8 - 1)*(x^6 + x^2)^(1/4)), x)","F",0
2345,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(6 \, k x^{2} - 7 \, {\left(k + 1\right)} x + 8\right)} x^{2}}{{\left(x^{8} - b k x^{2} + b {\left(k + 1\right)} x - b\right)} \left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((6*k*x^2 - 7*(k + 1)*x + 8)*x^2/((x^8 - b*k*x^2 + b*(k + 1)*x - b)*((k*x - 1)*(x - 1)*x)^(1/3)), x)","F",0
2346,0,0,0,0.000000," ","integrate(1/(x^2+1)^2/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{2} + 1\right)}^{2} \sqrt{x + \sqrt{x^{2} + 1}}}\,{d x}"," ",0,"integrate(1/((x^2 + 1)^2*sqrt(x + sqrt(x^2 + 1))), x)","F",0
2347,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(a b + {\left(a - 2 \, b\right)} x\right)} {\left(a - x\right)} x}{\left(-{\left(a - x\right)} {\left(b - x\right)}^{2} x\right)^{\frac{3}{4}} {\left(b^{2} d + {\left(d - 1\right)} x^{2} - {\left(2 \, b d - a\right)} x\right)}}\,{d x}"," ",0,"-integrate((a*b + (a - 2*b)*x)*(a - x)*x/((-(a - x)*(b - x)^2*x)^(3/4)*(b^2*d + (d - 1)*x^2 - (2*b*d - a)*x)), x)","F",0
2348,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{4} - 3 \, x^{2} + 1\right)} {\left(x^{2} + 1\right)}}{{\left(x^{4} + x^{3} - 3 \, x^{2} - x + 1\right)} x^{2} \sqrt{\frac{2 \, x^{2} + x - 2}{x^{2} + x - 1}}}\,{d x}"," ",0,"integrate((x^4 - 3*x^2 + 1)*(x^2 + 1)/((x^4 + x^3 - 3*x^2 - x + 1)*x^2*sqrt((2*x^2 + x - 2)/(x^2 + x - 1))), x)","F",0
2349,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(3 \, k x^{2} - 4 \, {\left(k + 1\right)} x + 5\right)} x^{3}}{{\left(b x^{5} - k x^{2} + {\left(k + 1\right)} x - 1\right)} \left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((3*k*x^2 - 4*(k + 1)*x + 5)*x^3/((b*x^5 - k*x^2 + (k + 1)*x - 1)*((k*x - 1)*(x - 1)*x)^(2/3)), x)","F",0
2350,0,0,0,0.000000," ","integrate((x^4-2)*(x^4+2)^(1/2)/(x^8+3*x^4+4),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{4} + 2} {\left(x^{4} - 2\right)}}{x^{8} + 3 \, x^{4} + 4}\,{d x}"," ",0,"integrate(sqrt(x^4 + 2)*(x^4 - 2)/(x^8 + 3*x^4 + 4), x)","F",0
2351,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\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^{2}}\,{d x}"," ",0,"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)","F",0
2352,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a^{2} x^{2} - b\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}{\sqrt{a^{2} x^{4} + b}}\,{d x}"," ",0,"integrate((a^2*x^2 - b)*sqrt(a*x^2 + sqrt(a^2*x^4 + b))/sqrt(a^2*x^4 + b), x)","F",0
2353,0,0,0,0.000000," ","integrate((1+x)^(1/2)/(x+(x+(1+x)^(1/2))^(1/2)),x, algorithm=""maxima"")","\int \frac{\sqrt{x + 1}}{x + \sqrt{x + \sqrt{x + 1}}}\,{d x}"," ",0,"integrate(sqrt(x + 1)/(x + sqrt(x + sqrt(x + 1))), x)","F",0
2354,0,0,0,0.000000," ","integrate((1+x)^(1/2)/(x+(x+(1+x)^(1/2))^(1/2)),x, algorithm=""maxima"")","\int \frac{\sqrt{x + 1}}{x + \sqrt{x + \sqrt{x + 1}}}\,{d x}"," ",0,"integrate(sqrt(x + 1)/(x + sqrt(x + sqrt(x + 1))), x)","F",0
2355,0,0,0,0.000000," ","integrate((-I+k^(1/2)*x)/(I+k^(1/2)*x)/((-x^2+1)*(-k^2*x^2+1))^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{k} x - i}{\sqrt{{\left(k^{2} x^{2} - 1\right)} {\left(x^{2} - 1\right)}} {\left(\sqrt{k} x + i\right)}}\,{d x}"," ",0,"integrate((sqrt(k)*x - I)/(sqrt((k^2*x^2 - 1)*(x^2 - 1))*(sqrt(k)*x + I)), x)","F",0
2356,0,0,0,0.000000," ","integrate((I+k^(1/2)*x)/(-I+k^(1/2)*x)/((-x^2+1)*(-k^2*x^2+1))^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{k} x + i}{\sqrt{{\left(k^{2} x^{2} - 1\right)} {\left(x^{2} - 1\right)}} {\left(\sqrt{k} x - i\right)}}\,{d x}"," ",0,"integrate((sqrt(k)*x + I)/(sqrt((k^2*x^2 - 1)*(x^2 - 1))*(sqrt(k)*x - I)), x)","F",0
2357,0,0,0,0.000000," ","integrate(1/(x^3-3*x^2+3*x-1)^(1/4)/(3*x^3+x^2-2*x-1)^4,x, algorithm=""maxima"")","\int \frac{1}{{\left(3 \, x^{3} + x^{2} - 2 \, x - 1\right)}^{4} {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((3*x^3 + x^2 - 2*x - 1)^4*(x^3 - 3*x^2 + 3*x - 1)^(1/4)), x)","F",0
2358,0,0,0,0.000000," ","integrate((a*x^4+b*x^3)^(1/4)/x^2/(c*x^2-d),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{{\left(c x^{2} - d\right)} x^{2}}\,{d x}"," ",0,"integrate((a*x^4 + b*x^3)^(1/4)/((c*x^2 - d)*x^2), x)","F",0
2359,0,0,0,0.000000," ","integrate((a*x^4+b*x^3)^(1/4)/x^2/(c*x^2-d),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{{\left(c x^{2} - d\right)} x^{2}}\,{d x}"," ",0,"integrate((a*x^4 + b*x^3)^(1/4)/((c*x^2 - d)*x^2), x)","F",0
2360,0,0,0,0.000000," ","integrate(x^4/(x^6+x^2)^(1/4)/(x^8-1),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(x^{8} - 1\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(x^4/((x^8 - 1)*(x^6 + x^2)^(1/4)), x)","F",0
2361,0,0,0,0.000000," ","integrate(x^4/(x^6+x^2)^(1/4)/(x^8-1),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(x^{8} - 1\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(x^4/((x^8 - 1)*(x^6 + x^2)^(1/4)), x)","F",0
2362,0,0,0,0.000000," ","integrate((x^4-1)*(x^6+x^2)^(1/4)/(x^8-x^4+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} - 1\right)}}{x^{8} - x^{4} + 1}\,{d x}"," ",0,"integrate((x^6 + x^2)^(1/4)*(x^4 - 1)/(x^8 - x^4 + 1), x)","F",0
2363,0,0,0,0.000000," ","integrate((x^4-1)*(x^6+x^2)^(1/4)/(x^8-x^4+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} + x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} - 1\right)}}{x^{8} - x^{4} + 1}\,{d x}"," ",0,"integrate((x^6 + x^2)^(1/4)*(x^4 - 1)/(x^8 - x^4 + 1), x)","F",0
2364,0,0,0,0.000000," ","integrate((x^8-x^4+1)/(x^6+x^2)^(1/4)/(x^8-1),x, algorithm=""maxima"")","\int \frac{x^{8} - x^{4} + 1}{{\left(x^{8} - 1\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((x^8 - x^4 + 1)/((x^8 - 1)*(x^6 + x^2)^(1/4)), x)","F",0
2365,0,0,0,0.000000," ","integrate((x^8-x^4+1)/(x^6+x^2)^(1/4)/(x^8-1),x, algorithm=""maxima"")","\int \frac{x^{8} - x^{4} + 1}{{\left(x^{8} - 1\right)} {\left(x^{6} + x^{2}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((x^8 - x^4 + 1)/((x^8 - 1)*(x^6 + x^2)^(1/4)), x)","F",0
2366,0,0,0,0.000000," ","integrate(1/(a*x-b)/(x^4-x^3)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(a x - b\right)}}\,{d x}"," ",0,"integrate(1/((x^4 - x^3)^(1/4)*(a*x - b)), x)","F",0
2367,-2,0,0,0.000000," ","integrate((x^2-x)/((1-x)*x*(-k^2*x+1))^(1/2)/(k^2*x^2-2*x+1),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(k-1>0)', see `assume?` for more details)Is k-1 positive, negative or zero?","F(-2)",0
2368,0,0,0,0.000000," ","integrate((a^3*x^2-b)/(a^3*x^2+b)/(a^3*x^3-b*x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{a^{3} x^{2} - b}{{\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} x^{2} + b\right)}}\,{d x}"," ",0,"integrate((a^3*x^2 - b)/((a^3*x^3 - b*x^2)^(1/3)*(a^3*x^2 + b)), x)","F",0
2369,0,0,0,0.000000," ","integrate((a^3*x^2-b)/(a^3*x^2+b)/(a^3*x^3-b*x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{a^{3} x^{2} - b}{{\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} x^{2} + b\right)}}\,{d x}"," ",0,"integrate((a^3*x^2 - b)/((a^3*x^3 - b*x^2)^(1/3)*(a^3*x^2 + b)), x)","F",0
2370,0,0,0,0.000000," ","integrate((x^2+1)/(x^2-1)/(a*x^4+b*x^3+c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} + 1}{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left(x^{2} - 1\right)}}\,{d x}"," ",0,"integrate((x^2 + 1)/(sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*(x^2 - 1)), x)","F",0
2371,0,0,0,0.000000," ","integrate(x^4*(x^4-x^2)^(1/4)/(x^8+x^4+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - x^{2}\right)}^{\frac{1}{4}} x^{4}}{x^{8} + x^{4} + 1}\,{d x}"," ",0,"integrate((x^4 - x^2)^(1/4)*x^4/(x^8 + x^4 + 1), x)","F",0
2372,0,0,0,0.000000," ","integrate(x^4*(x^4-x^2)^(1/4)/(x^8+x^4+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - x^{2}\right)}^{\frac{1}{4}} x^{4}}{x^{8} + x^{4} + 1}\,{d x}"," ",0,"integrate((x^4 - x^2)^(1/4)*x^4/(x^8 + x^4 + 1), x)","F",0
2373,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{p x^{3} + q} {\left(p x^{3} - 2 \, q\right)}}{c x^{4} + {\left(p x^{3} + q\right)} b x^{2} + {\left(p x^{3} + q\right)}^{2} a}\,{d x}"," ",0,"integrate(sqrt(p*x^3 + q)*(p*x^3 - 2*q)/(c*x^4 + (p*x^3 + q)*b*x^2 + (p*x^3 + q)^2*a), x)","F",0
2374,0,0,0,0.000000," ","integrate((x^4-1)^2/(x^4+1)^2/(x^2+(x^4+1)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - 1\right)}^{2}}{{\left(x^{4} + 1\right)}^{2} \sqrt{x^{2} + \sqrt{x^{4} + 1}}}\,{d x}"," ",0,"integrate((x^4 - 1)^2/((x^4 + 1)^2*sqrt(x^2 + sqrt(x^4 + 1))), x)","F",0
2375,0,0,0,0.000000," ","integrate((x^2+(x^4+1)^(1/2))^(1/2)/(x^2+1)^2/(x^4+1)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{2} + \sqrt{x^{4} + 1}}}{\sqrt{x^{4} + 1} {\left(x^{2} + 1\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(x^2 + sqrt(x^4 + 1))/(sqrt(x^4 + 1)*(x^2 + 1)^2), x)","F",0
2376,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(3 \, p x^{5} - 2 \, q\right)} \sqrt{p x^{5} + q}}{c x^{4} + {\left(p x^{5} + q\right)} b x^{2} + {\left(p x^{5} + q\right)}^{2} a}\,{d x}"," ",0,"integrate((3*p*x^5 - 2*q)*sqrt(p*x^5 + q)/(c*x^4 + (p*x^5 + q)*b*x^2 + (p*x^5 + q)^2*a), x)","F",0
2377,0,0,0,0.000000," ","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=""maxima"")","\int \frac{1}{\sqrt{a x + \sqrt{a^{2} x^{2} - b}} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} - b}}} x}\,{d x}"," ",0,"integrate(1/(sqrt(a*x + sqrt(a^2*x^2 - b))*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 - b)))*x), x)","F",0
2378,0,0,0,0.000000," ","integrate(1/(x^2+1)^(1/3)/(x^2+9),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{2} + 9\right)} {\left(x^{2} + 1\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((x^2 + 9)*(x^2 + 1)^(1/3)), x)","F",0
2379,0,0,0,0.000000," ","integrate((a^3*x^2+b)/(a^3*x^2-b)/(a^3*x^3-b*x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{a^{3} x^{2} + b}{{\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} x^{2} - b\right)}}\,{d x}"," ",0,"integrate((a^3*x^2 + b)/((a^3*x^3 - b*x^2)^(1/3)*(a^3*x^2 - b)), x)","F",0
2380,0,0,0,0.000000," ","integrate((a^3*x^2+b)/(a^3*x^2-b)/(a^3*x^3-b*x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{a^{3} x^{2} + b}{{\left(a^{3} x^{3} - b x^{2}\right)}^{\frac{1}{3}} {\left(a^{3} x^{2} - b\right)}}\,{d x}"," ",0,"integrate((a^3*x^2 + b)/((a^3*x^3 - b*x^2)^(1/3)*(a^3*x^2 - b)), x)","F",0
2381,0,0,0,0.000000," ","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=""maxima"")","\int \frac{k^{2} x^{4} + 4 \, k^{2} x^{3} + {\left(k^{2} + 1\right)} x^{2} - 2 \, {\left(k^{2} + 1\right)} x - 3}{{\left(d k^{2} x^{3} - {\left(d k^{2} + 1\right)} x^{2} - {\left(d + 2\right)} x + d - 1\right)} \left({\left(k^{2} x^{2} - 1\right)} {\left(x^{2} - 1\right)}\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((k^2*x^4 + 4*k^2*x^3 + (k^2 + 1)*x^2 - 2*(k^2 + 1)*x - 3)/((d*k^2*x^3 - (d*k^2 + 1)*x^2 - (d + 2)*x + d - 1)*((k^2*x^2 - 1)*(x^2 - 1))^(2/3)), x)","F",0
2382,0,0,0,0.000000," ","integrate((x^5+x^3)^(1/4)*(x^8+x^4+1)/x^4/(x^4-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{8} + x^{4} + 1\right)} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}}}{{\left(x^{4} - 1\right)} x^{4}}\,{d x}"," ",0,"integrate((x^8 + x^4 + 1)*(x^5 + x^3)^(1/4)/((x^4 - 1)*x^4), x)","F",0
2383,0,0,0,0.000000," ","integrate(1/(a*x^2+b)/(x^3+x)^(1/3),x, algorithm=""maxima"")","-\frac{3 \, {\left(x^{3} + x\right)}}{4 \, {\left(a x^{\frac{7}{3}} + b x^{\frac{1}{3}}\right)} {\left(x^{2} + 1\right)}^{\frac{1}{3}}} + \int \frac{3 \, {\left(b x^{2} + b\right)}}{2 \, {\left(a^{2} x^{\frac{13}{3}} + 2 \, a b x^{\frac{7}{3}} + b^{2} x^{\frac{1}{3}}\right)} {\left(x^{2} + 1\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"-3/4*(x^3 + x)/((a*x^(7/3) + b*x^(1/3))*(x^2 + 1)^(1/3)) + integrate(3/2*(b*x^2 + b)/((a^2*x^(13/3) + 2*a*b*x^(7/3) + b^2*x^(1/3))*(x^2 + 1)^(1/3)), x)","F",0
2384,0,0,0,0.000000," ","integrate((a*x^4-b*x^3)^(1/4)/x^2/(c*x^2-d),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}}}{{\left(c x^{2} - d\right)} x^{2}}\,{d x}"," ",0,"integrate((a*x^4 - b*x^3)^(1/4)/((c*x^2 - d)*x^2), x)","F",0
2385,0,0,0,0.000000," ","integrate((a*x^4-b*x^3)^(1/4)/x^2/(c*x^2-d),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}}}{{\left(c x^{2} - d\right)} x^{2}}\,{d x}"," ",0,"integrate((a*x^4 - b*x^3)^(1/4)/((c*x^2 - d)*x^2), x)","F",0
2386,0,0,0,0.000000," ","integrate((x^3+x)^(1/3)*(a*x^6+b)/(c*x^6+d),x, algorithm=""maxima"")","\int \frac{{\left(a x^{6} + b\right)} {\left(x^{3} + x\right)}^{\frac{1}{3}}}{c x^{6} + d}\,{d x}"," ",0,"integrate((a*x^6 + b)*(x^3 + x)^(1/3)/(c*x^6 + d), x)","F",0
2387,0,0,0,0.000000," ","integrate((x^3+x)^(1/3)*(a*x^6+b)/(c*x^6+d),x, algorithm=""maxima"")","\int \frac{{\left(a x^{6} + b\right)} {\left(x^{3} + x\right)}^{\frac{1}{3}}}{c x^{6} + d}\,{d x}"," ",0,"integrate((a*x^6 + b)*(x^3 + x)^(1/3)/(c*x^6 + d), x)","F",0
2388,0,0,0,0.000000," ","integrate((2*x^6-1)*(x^7+x)^(1/3)/(x^6-2*x^2+1)/(x^6-x^2+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{7} + x\right)}^{\frac{1}{3}} {\left(2 \, x^{6} - 1\right)}}{{\left(x^{6} - x^{2} + 1\right)} {\left(x^{6} - 2 \, x^{2} + 1\right)}}\,{d x}"," ",0,"integrate((x^7 + x)^(1/3)*(2*x^6 - 1)/((x^6 - x^2 + 1)*(x^6 - 2*x^2 + 1)), x)","F",0
2389,0,0,0,0.000000," ","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^3+a*(p*x^3+q)^3)/x^6,x, algorithm=""maxima"")","\int \frac{\sqrt{p^{2} x^{6} + 2 \, p q x^{3} - 2 \, p q x^{2} + q^{2}} {\left({\left(p x^{3} + q\right)}^{3} a + b x^{3}\right)} {\left(2 \, p x^{3} - q\right)}}{x^{6}}\,{d x}"," ",0,"integrate(sqrt(p^2*x^6 + 2*p*q*x^3 - 2*p*q*x^2 + q^2)*((p*x^3 + q)^3*a + b*x^3)*(2*p*x^3 - q)/x^6, x)","F",0
2390,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(2 \, k - 1\right)} x - 1}{\left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{1}{3}} {\left({\left(b k + 1\right)} x^{2} - {\left(b + 2\right)} x + 1\right)}}\,{d x}"," ",0,"integrate(((2*k - 1)*x - 1)/(((k*x - 1)*(x - 1)*x)^(1/3)*((b*k + 1)*x^2 - (b + 2)*x + 1)), x)","F",0
2391,0,0,0,0.000000," ","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=""maxima"")","\int \frac{k^{2} x^{4} - 4 \, k^{2} x^{3} + {\left(k^{2} + 1\right)} x^{2} + 2 \, {\left(k^{2} + 1\right)} x - 3}{{\left(d k^{2} x^{3} + {\left(d k^{2} + 1\right)} x^{2} - {\left(d + 2\right)} x - d + 1\right)} \left({\left(k^{2} x^{2} - 1\right)} {\left(x^{2} - 1\right)}\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((k^2*x^4 - 4*k^2*x^3 + (k^2 + 1)*x^2 + 2*(k^2 + 1)*x - 3)/((d*k^2*x^3 + (d*k^2 + 1)*x^2 - (d + 2)*x - d + 1)*((k^2*x^2 - 1)*(x^2 - 1))^(2/3)), x)","F",0
2392,0,0,0,0.000000," ","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=""maxima"")","\int \frac{3 \, x^{6} - 3 \, a x^{3} + b}{{\left(a x^{4} - b x\right)}^{\frac{1}{4}} {\left(2 \, a x^{3} - b\right)} x^{6}}\,{d x}"," ",0,"integrate((3*x^6 - 3*a*x^3 + b)/((a*x^4 - b*x)^(1/4)*(2*a*x^3 - b)*x^6), x)","F",0
2393,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{p^{2} x^{6} - 2 \, p q x^{4} + 2 \, p q x^{3} + q^{2}} {\left(b x^{6} + {\left(p x^{3} + q\right)}^{3} a\right)} {\left(p x^{3} - 2 \, q\right)}}{x^{11}}\,{d x}"," ",0,"integrate(sqrt(p^2*x^6 - 2*p*q*x^4 + 2*p*q*x^3 + q^2)*(b*x^6 + (p*x^3 + q)^3*a)*(p*x^3 - 2*q)/x^11, x)","F",0
2394,0,0,0,0.000000," ","integrate(x*(1+x)^(1/2)/(x+(x+(1+x)^(1/2))^(1/2)),x, algorithm=""maxima"")","\int \frac{\sqrt{x + 1} x}{x + \sqrt{x + \sqrt{x + 1}}}\,{d x}"," ",0,"integrate(sqrt(x + 1)*x/(x + sqrt(x + sqrt(x + 1))), x)","F",0
2395,0,0,0,0.000000," ","integrate(x*(1+x)^(1/2)/(x+(x+(1+x)^(1/2))^(1/2)),x, algorithm=""maxima"")","\int \frac{\sqrt{x + 1} x}{x + \sqrt{x + \sqrt{x + 1}}}\,{d x}"," ",0,"integrate(sqrt(x + 1)*x/(x + sqrt(x + sqrt(x + 1))), x)","F",0
2396,1,355,0,0.450315," ","integrate(x^2/((a*x+b)/(c*x+d))^(1/2),x, algorithm=""maxima"")","-\frac{3 \, {\left(5 \, b^{3} c^{5} - 3 \, a b^{2} c^{4} d - a^{2} b c^{3} d^{2} - a^{3} c^{2} d^{3}\right)} \left(\frac{a x + b}{c x + d}\right)^{\frac{5}{2}} - 8 \, {\left(5 \, a b^{3} c^{4} - 3 \, a^{2} b^{2} c^{3} d - 3 \, a^{3} b c^{2} d^{2} + a^{4} c d^{3}\right)} \left(\frac{a x + b}{c x + d}\right)^{\frac{3}{2}} + 3 \, {\left(11 \, a^{2} b^{3} c^{3} - 13 \, a^{3} b^{2} c^{2} d + a^{4} b c d^{2} + a^{5} d^{3}\right)} \sqrt{\frac{a x + b}{c x + d}}}{24 \, {\left(a^{6} c^{2} - \frac{3 \, {\left(a x + b\right)} a^{5} c^{3}}{c x + d} + \frac{3 \, {\left(a x + b\right)}^{2} a^{4} c^{4}}{{\left(c x + d\right)}^{2}} - \frac{{\left(a x + b\right)}^{3} a^{3} c^{5}}{{\left(c x + d\right)}^{3}}\right)}} + \frac{{\left(5 \, b^{3} c^{3} - 3 \, a b^{2} c^{2} d - a^{2} b c d^{2} - a^{3} d^{3}\right)} \log\left(\frac{c \sqrt{\frac{a x + b}{c x + d}} - \sqrt{a c}}{c \sqrt{\frac{a x + b}{c x + d}} + \sqrt{a c}}\right)}{16 \, \sqrt{a c} a^{3} c^{2}}"," ",0,"-1/24*(3*(5*b^3*c^5 - 3*a*b^2*c^4*d - a^2*b*c^3*d^2 - a^3*c^2*d^3)*((a*x + b)/(c*x + d))^(5/2) - 8*(5*a*b^3*c^4 - 3*a^2*b^2*c^3*d - 3*a^3*b*c^2*d^2 + a^4*c*d^3)*((a*x + b)/(c*x + d))^(3/2) + 3*(11*a^2*b^3*c^3 - 13*a^3*b^2*c^2*d + a^4*b*c*d^2 + a^5*d^3)*sqrt((a*x + b)/(c*x + d)))/(a^6*c^2 - 3*(a*x + b)*a^5*c^3/(c*x + d) + 3*(a*x + b)^2*a^4*c^4/(c*x + d)^2 - (a*x + b)^3*a^3*c^5/(c*x + d)^3) + 1/16*(5*b^3*c^3 - 3*a*b^2*c^2*d - a^2*b*c*d^2 - a^3*d^3)*log((c*sqrt((a*x + b)/(c*x + d)) - sqrt(a*c))/(c*sqrt((a*x + b)/(c*x + d)) + sqrt(a*c)))/(sqrt(a*c)*a^3*c^2)","A",0
2397,0,0,0,0.000000," ","integrate((2*a*x+b)/(a*x-b)/(a*x+2*b)/(a*x^2+b*x-1)^(1/4),x, algorithm=""maxima"")","\int \frac{2 \, a x + b}{{\left(a x^{2} + b x - 1\right)}^{\frac{1}{4}} {\left(a x + 2 \, b\right)} {\left(a x - b\right)}}\,{d x}"," ",0,"integrate((2*a*x + b)/((a*x^2 + b*x - 1)^(1/4)*(a*x + 2*b)*(a*x - b)), x)","F",0
2398,0,0,0,0.000000," ","integrate((a*k*x+k*x^2-1)/(k*x^2+1)/((-x^2+1)*(-k^2*x^2+1))^(1/2),x, algorithm=""maxima"")","\int \frac{a k x + k x^{2} - 1}{{\left(k x^{2} + 1\right)} \sqrt{{\left(k^{2} x^{2} - 1\right)} {\left(x^{2} - 1\right)}}}\,{d x}"," ",0,"integrate((a*k*x + k*x^2 - 1)/((k*x^2 + 1)*sqrt((k^2*x^2 - 1)*(x^2 - 1))), x)","F",0
2399,0,0,0,0.000000," ","integrate((x^3-b)*(x^3+b)/(a*x^2+x^3)^(1/3),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} + b\right)} {\left(x^{3} - b\right)}}{{\left(a x^{2} + x^{3}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((x^3 + b)*(x^3 - b)/(a*x^2 + x^3)^(1/3), x)","F",0
2400,0,0,0,0.000000," ","integrate(x/(-x^2+1)/(a*x^4+b*x^3+c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","-\int \frac{x}{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left(x^{2} - 1\right)}}\,{d x}"," ",0,"-integrate(x/(sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*(x^2 - 1)), x)","F",0
2401,0,0,0,0.000000," ","integrate(1/(x^4-1)^(1/4)/(x^8-x^4-1),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{8} - x^{4} - 1\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((x^8 - x^4 - 1)*(x^4 - 1)^(1/4)), x)","F",0
2402,0,0,0,0.000000," ","integrate((2*x^4-1)/(x^4-1)^(1/4)/(x^8-x^4-1),x, algorithm=""maxima"")","\int \frac{2 \, x^{4} - 1}{{\left(x^{8} - x^{4} - 1\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((2*x^4 - 1)/((x^8 - x^4 - 1)*(x^4 - 1)^(1/4)), x)","F",0
2403,0,0,0,0.000000," ","integrate(1/(x^4+1)^(1/4)/(x^8+x^4-1),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{8} + x^{4} - 1\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((x^8 + x^4 - 1)*(x^4 + 1)^(1/4)), x)","F",0
2404,0,0,0,0.000000," ","integrate((x^4-2)/(x^4+1)^(1/4)/(x^8+x^4-1),x, algorithm=""maxima"")","\int \frac{x^{4} - 2}{{\left(x^{8} + x^{4} - 1\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((x^4 - 2)/((x^8 + x^4 - 1)*(x^4 + 1)^(1/4)), x)","F",0
2405,0,0,0,0.000000," ","integrate((a*x^4+b*x^3)^(1/4)*(c*x^8-d)/x^8,x, algorithm=""maxima"")","\int \frac{{\left(c x^{8} - d\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x^{8}}\,{d x}"," ",0,"integrate((c*x^8 - d)*(a*x^4 + b*x^3)^(1/4)/x^8, x)","F",0
2406,0,0,0,0.000000," ","integrate(x^4*(x^5+2)/(x^5+1)^(1/2)/(a*x^10-x^5-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{5} + 2\right)} x^{4}}{{\left(a x^{10} - x^{5} - 1\right)} \sqrt{x^{5} + 1}}\,{d x}"," ",0,"integrate((x^5 + 2)*x^4/((a*x^10 - x^5 - 1)*sqrt(x^5 + 1)), x)","F",0
2407,0,0,0,0.000000," ","integrate(x^4*(x^5-2)/(x^5-1)^(1/2)/(a*x^10-x^5+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{5} - 2\right)} x^{4}}{{\left(a x^{10} - x^{5} + 1\right)} \sqrt{x^{5} - 1}}\,{d x}"," ",0,"integrate((x^5 - 2)*x^4/((a*x^10 - x^5 + 1)*sqrt(x^5 - 1)), x)","F",0
2408,0,0,0,0.000000," ","integrate(x^4*(x^5+3)/(x^5+1)^(1/2)/(-1+a-(1+2*a)*x^5+a*x^10),x, algorithm=""maxima"")","\int \frac{{\left(x^{5} + 3\right)} x^{4}}{{\left(a x^{10} - {\left(2 \, a + 1\right)} x^{5} + a - 1\right)} \sqrt{x^{5} + 1}}\,{d x}"," ",0,"integrate((x^5 + 3)*x^4/((a*x^10 - (2*a + 1)*x^5 + a - 1)*sqrt(x^5 + 1)), x)","F",0
2409,0,0,0,0.000000," ","integrate(1/(x^2-(a*x+b)^(1/2)*(c+(a*x+b)^(1/2))^(1/2)),x, algorithm=""maxima"")","\int \frac{1}{x^{2} - \sqrt{a x + b} \sqrt{c + \sqrt{a x + b}}}\,{d x}"," ",0,"integrate(1/(x^2 - sqrt(a*x + b)*sqrt(c + sqrt(a*x + b))), x)","F",0
2410,0,0,0,0.000000," ","integrate(1/(x^2-(a*x+b)^(1/2)*(c+(a*x+b)^(1/2))^(1/2)),x, algorithm=""maxima"")","\int \frac{1}{x^{2} - \sqrt{a x + b} \sqrt{c + \sqrt{a x + b}}}\,{d x}"," ",0,"integrate(1/(x^2 - sqrt(a*x + b)*sqrt(c + sqrt(a*x + b))), x)","F",0
2411,0,0,0,0.000000," ","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=""maxima"")","\int \frac{1}{\sqrt{a^{2} x^{2} - b} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(1/(sqrt(a^2*x^2 - b)*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(2/3)), x)","F",0
2412,0,0,0,0.000000," ","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=""maxima"")","\int \frac{1}{\sqrt{a^{2} x^{2} - b} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/(sqrt(a^2*x^2 - b)*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3)), x)","F",0
2413,0,0,0,0.000000," ","integrate(1/(-3*x^2+1)^(1/3)/(x^2-3),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{2} - 3\right)} {\left(-3 \, x^{2} + 1\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((x^2 - 3)*(-3*x^2 + 1)^(1/3)), x)","F",0
2414,0,0,0,0.000000," ","integrate((-a+x)/(x^2*(-a+x))^(1/3)/(a^2*d-2*a*d*x+(-1+d)*x^2),x, algorithm=""maxima"")","-\int \frac{a - x}{{\left(a^{2} d - 2 \, a d x + {\left(d - 1\right)} x^{2}\right)} \left(-{\left(a - x\right)} x^{2}\right)^{\frac{1}{3}}}\,{d x}"," ",0,"-integrate((a - x)/((a^2*d - 2*a*d*x + (d - 1)*x^2)*(-(a - x)*x^2)^(1/3)), x)","F",0
2415,0,0,0,0.000000," ","integrate((2*x^8-a*x^4+b)/(a*x^4-b)^(1/4)/(3*a*x^4+b),x, algorithm=""maxima"")","\int \frac{2 \, x^{8} - a x^{4} + b}{{\left(3 \, a x^{4} + b\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((2*x^8 - a*x^4 + b)/((3*a*x^4 + b)*(a*x^4 - b)^(1/4)), x)","F",0
2416,0,0,0,0.000000," ","integrate((c*x^2+d)/(a*x+(a^2*x^2+b^2)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{c x^{2} + d}{\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}}\,{d x}"," ",0,"integrate((c*x^2 + d)/sqrt(a*x + sqrt(a^2*x^2 + b^2)), x)","F",0
2417,0,0,0,0.000000," ","integrate((a*x^4+b*x^3)^(1/4)*(d*x^8-c)/x^4,x, algorithm=""maxima"")","\int \frac{{\left(d x^{8} - c\right)} {\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{x^{4}}\,{d x}"," ",0,"integrate((d*x^8 - c)*(a*x^4 + b*x^3)^(1/4)/x^4, x)","F",0
2418,0,0,0,0.000000," ","integrate((a*x^2+b^2)^(5/2)/(b+(a*x^2+b^2)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(a x^{2} + b^{2}\right)}^{\frac{5}{2}}}{\sqrt{b + \sqrt{a x^{2} + b^{2}}}}\,{d x}"," ",0,"integrate((a*x^2 + b^2)^(5/2)/sqrt(b + sqrt(a*x^2 + b^2)), x)","F",0
2419,0,0,0,0.000000," ","integrate((x+(x^2+1)^(1/2))^(1/2)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{x + \sqrt{x^{2} + 1}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\,{d x}"," ",0,"integrate(sqrt(x + sqrt(x^2 + 1))*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1), x)","F",0
2420,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(3 \, _{C_{3}} x^{2} + 3 \, _{C_{4}} + x\right)} {\left(_{C_{3}} x^{2} - _{C_{4}}\right)}}{{\left(_{C_{3}}^{2} x^{4} + 2 \, _{C_{3}} _{C_{4}} x^{2} + _{C_{4}}^{2} - x^{2}\right)} x \sqrt{\frac{_{C_{3}} x^{2} + _{C_{0}} x + _{C_{4}}}{_{C_{3}} x^{2} + _{C_{1}} x + _{C_{4}}}}}\,{d x}"," ",0,"integrate((3*_C3*x^2 + 3*_C4 + x)*(_C3*x^2 - _C4)/((_C3^2*x^4 + 2*_C3*_C4*x^2 + _C4^2 - x^2)*x*sqrt((_C3*x^2 + _C0*x + _C4)/(_C3*x^2 + _C1*x + _C4))), x)","F",0
2421,0,0,0,0.000000," ","integrate((x^6+1)/(x^5+x)^(1/3)/(x^6-1),x, algorithm=""maxima"")","\int \frac{x^{6} + 1}{{\left(x^{6} - 1\right)} {\left(x^{5} + x\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((x^6 + 1)/((x^6 - 1)*(x^5 + x)^(1/3)), x)","F",0
2422,0,0,0,0.000000," ","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=""maxima"")","\int \frac{1}{{\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^{2}}\,{d x}"," ",0,"integrate(1/((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^2), x)","F",0
2423,0,0,0,0.000000," ","integrate((a^8*x^8+b^8)/(a^4*x^4+b^4)^(1/2)/(a^8*x^8-b^8),x, algorithm=""maxima"")","\int \frac{a^{8} x^{8} + b^{8}}{{\left(a^{8} x^{8} - b^{8}\right)} \sqrt{a^{4} x^{4} + b^{4}}}\,{d x}"," ",0,"integrate((a^8*x^8 + b^8)/((a^8*x^8 - b^8)*sqrt(a^4*x^4 + b^4)), x)","F",0
2424,0,0,0,0.000000," ","integrate((x+(1+x)^(1/2))^(1/2)/(x-(1+x)^(1/2)),x, algorithm=""maxima"")","\int \frac{\sqrt{x + \sqrt{x + 1}}}{x - \sqrt{x + 1}}\,{d x}"," ",0,"integrate(sqrt(x + sqrt(x + 1))/(x - sqrt(x + 1)), x)","F",0
2425,0,0,0,0.000000," ","integrate((x+(1+x)^(1/2))^(1/2)/(x-(1+x)^(1/2)),x, algorithm=""maxima"")","\int \frac{\sqrt{x + \sqrt{x + 1}}}{x - \sqrt{x + 1}}\,{d x}"," ",0,"integrate(sqrt(x + sqrt(x + 1))/(x - sqrt(x + 1)), x)","F",0
2426,0,0,0,0.000000," ","integrate((c*x^2+d)*(a*x+(a^2*x^2+b^2)^(1/2))^(1/2)/(c*x^2-d),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + d\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}}{c x^{2} - d}\,{d x}"," ",0,"integrate((c*x^2 + d)*sqrt(a*x + sqrt(a^2*x^2 + b^2))/(c*x^2 - d), x)","F",0
2427,0,0,0,0.000000," ","integrate((c*x^2+d)*(a*x+(a^2*x^2+b^2)^(1/2))^(1/2)/(c*x^2-d),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + d\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}}{c x^{2} - d}\,{d x}"," ",0,"integrate((c*x^2 + d)*sqrt(a*x + sqrt(a^2*x^2 + b^2))/(c*x^2 - d), x)","F",0
2428,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{\frac{a^{2} x^{2}}{b^{2}} - \frac{a}{b^{2}}}}{\sqrt{a x^{2} + \sqrt{\frac{a^{2} x^{2}}{b^{2}} - \frac{a}{b^{2}}} b x} x}\,{d x}"," ",0,"integrate(sqrt(a^2*x^2/b^2 - a/b^2)/(sqrt(a*x^2 + sqrt(a^2*x^2/b^2 - a/b^2)*b*x)*x), x)","F",0
2429,0,0,0,0.000000," ","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=""maxima"")","\int \frac{x^{2} - 1}{{\left(x^{2} + 1\right)} \sqrt{\sqrt{x + 1} + 1} \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}}\,{d x}"," ",0,"integrate((x^2 - 1)/((x^2 + 1)*sqrt(sqrt(x + 1) + 1)*sqrt(sqrt(sqrt(x + 1) + 1) + 1)), x)","F",0
2430,0,0,0,0.000000," ","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=""maxima"")","\int \frac{x^{2} - 1}{{\left(x^{2} + 1\right)} \sqrt{\sqrt{x + 1} + 1} \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}}\,{d x}"," ",0,"integrate((x^2 - 1)/((x^2 + 1)*sqrt(sqrt(x + 1) + 1)*sqrt(sqrt(sqrt(x + 1) + 1) + 1)), x)","F",0
2431,0,0,0,0.000000," ","integrate((1+(x+(x^2+1)^(1/2))^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\,{d x}"," ",0,"integrate(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1), x)","F",0
2432,0,0,0,0.000000," ","integrate((2+3*x)/(3*x^2+4)^(1/3)/(9*x^2+52*x-12),x, algorithm=""maxima"")","\int \frac{3 \, x + 2}{{\left(9 \, x^{2} + 52 \, x - 12\right)} {\left(3 \, x^{2} + 4\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((3*x + 2)/((9*x^2 + 52*x - 12)*(3*x^2 + 4)^(1/3)), x)","F",0
2433,-2,0,0,0.000000," ","integrate((a*x^2+b*x+c)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
2434,0,0,0,0.000000," ","integrate((x^8-x^4+1)/x^2/(x^4-1)^(3/4)/(x^8-x^4-1),x, algorithm=""maxima"")","\int \frac{x^{8} - x^{4} + 1}{{\left(x^{8} - x^{4} - 1\right)} {\left(x^{4} - 1\right)}^{\frac{3}{4}} x^{2}}\,{d x}"," ",0,"integrate((x^8 - x^4 + 1)/((x^8 - x^4 - 1)*(x^4 - 1)^(3/4)*x^2), x)","F",0
2435,0,0,0,0.000000," ","integrate((c*x^2-d)*(a*x+(a^2*x^2+b^2)^(1/2))^(1/2)/(c*x^2+d),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} - d\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}}{c x^{2} + d}\,{d x}"," ",0,"integrate((c*x^2 - d)*sqrt(a*x + sqrt(a^2*x^2 + b^2))/(c*x^2 + d), x)","F",0
2436,0,0,0,0.000000," ","integrate((c*x^2-d)*(a*x+(a^2*x^2+b^2)^(1/2))^(1/2)/(c*x^2+d),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} - d\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}}{c x^{2} + d}\,{d x}"," ",0,"integrate((c*x^2 - d)*sqrt(a*x + sqrt(a^2*x^2 + b^2))/(c*x^2 + d), x)","F",0
2437,0,0,0,0.000000," ","integrate((1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{\sqrt{x + \sqrt{x^{2} + 1}}}\,{d x}"," ",0,"integrate(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/sqrt(x + sqrt(x^2 + 1)), x)","F",0
2438,0,0,0,0.000000," ","integrate(1/x/(3*x^2-6*x+4)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(3 \, x^{2} - 6 \, x + 4\right)}^{\frac{1}{3}} x}\,{d x}"," ",0,"integrate(1/((3*x^2 - 6*x + 4)^(1/3)*x), x)","F",0
2439,0,0,0,0.000000," ","integrate(x^2*(a*x^4+b*x^3)^(1/4)/(a*x-b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} x^{2}}{a x - b}\,{d x}"," ",0,"integrate((a*x^4 + b*x^3)^(1/4)*x^2/(a*x - b), x)","F",0
2440,0,0,0,0.000000," ","integrate((x^6-1)/(x^5+x)^(1/3)/(x^6+1),x, algorithm=""maxima"")","\int \frac{x^{6} - 1}{{\left(x^{6} + 1\right)} {\left(x^{5} + x\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((x^6 - 1)/((x^6 + 1)*(x^5 + x)^(1/3)), x)","F",0
2441,0,0,0,0.000000," ","integrate((a*x^8-2*x^4+b)/(a*x^4-b)^(1/4)/(2*a*x^8-2*x^4+b),x, algorithm=""maxima"")","\int \frac{a x^{8} - 2 \, x^{4} + b}{{\left(2 \, a x^{8} - 2 \, x^{4} + b\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((a*x^8 - 2*x^4 + b)/((2*a*x^8 - 2*x^4 + b)*(a*x^4 - b)^(1/4)), x)","F",0
2442,0,0,0,0.000000," ","integrate((a*x^8-2*x^4+b)/(a*x^4-b)^(1/4)/(2*a*x^8-2*x^4+b),x, algorithm=""maxima"")","\int \frac{a x^{8} - 2 \, x^{4} + b}{{\left(2 \, a x^{8} - 2 \, x^{4} + b\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((a*x^8 - 2*x^4 + b)/((2*a*x^8 - 2*x^4 + b)*(a*x^4 - b)^(1/4)), x)","F",0
2443,0,0,0,0.000000," ","integrate((2*a*x^8+c*x^4-b)/(a*x^4-b)^(1/4)/(a*x^8-c*x^4+b),x, algorithm=""maxima"")","\int \frac{2 \, a x^{8} + c x^{4} - b}{{\left(a x^{8} - c x^{4} + b\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((2*a*x^8 + c*x^4 - b)/((a*x^8 - c*x^4 + b)*(a*x^4 - b)^(1/4)), x)","F",0
2444,0,0,0,0.000000," ","integrate((2*a*x^8+c*x^4-b)/(a*x^4-b)^(1/4)/(a*x^8-c*x^4+b),x, algorithm=""maxima"")","\int \frac{2 \, a x^{8} + c x^{4} - b}{{\left(a x^{8} - c x^{4} + b\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((2*a*x^8 + c*x^4 - b)/((a*x^8 - c*x^4 + b)*(a*x^4 - b)^(1/4)), x)","F",0
2445,0,0,0,0.000000," ","integrate((a*x^4-b*x^3)^(1/4)*(c*x^8-d)/x^4,x, algorithm=""maxima"")","\int \frac{{\left(c x^{8} - d\right)} {\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}}}{x^{4}}\,{d x}"," ",0,"integrate((c*x^8 - d)*(a*x^4 - b*x^3)^(1/4)/x^4, x)","F",0
2446,0,0,0,0.000000," ","integrate((b+(a*x^2+b^2)^(1/2))^(1/2)/x^6,x, algorithm=""maxima"")","\int \frac{\sqrt{b + \sqrt{a x^{2} + b^{2}}}}{x^{6}}\,{d x}"," ",0,"integrate(sqrt(b + sqrt(a*x^2 + b^2))/x^6, x)","F",0
2447,0,0,0,0.000000," ","integrate((b+(a*x^2+b^2)^(1/2))^(1/2)/x^6/(a*x^2+b^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{b + \sqrt{a x^{2} + b^{2}}}}{\sqrt{a x^{2} + b^{2}} x^{6}}\,{d x}"," ",0,"integrate(sqrt(b + sqrt(a*x^2 + b^2))/(sqrt(a*x^2 + b^2)*x^6), x)","F",0
2448,1,92,0,0.338417," ","integrate((d+(c+(a*x+b)^(1/2))^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{8 \, {\left(35 \, {\left(d + \sqrt{c + \sqrt{a x + b}}\right)}^{\frac{9}{2}} - 135 \, {\left(d + \sqrt{c + \sqrt{a x + b}}\right)}^{\frac{7}{2}} d + 63 \, {\left(3 \, d^{2} - c\right)} {\left(d + \sqrt{c + \sqrt{a x + b}}\right)}^{\frac{5}{2}} - 105 \, {\left(d^{3} - c d\right)} {\left(d + \sqrt{c + \sqrt{a x + b}}\right)}^{\frac{3}{2}}\right)}}{315 \, a}"," ",0,"8/315*(35*(d + sqrt(c + sqrt(a*x + b)))^(9/2) - 135*(d + sqrt(c + sqrt(a*x + b)))^(7/2)*d + 63*(3*d^2 - c)*(d + sqrt(c + sqrt(a*x + b)))^(5/2) - 105*(d^3 - c*d)*(d + sqrt(c + sqrt(a*x + b)))^(3/2))/a","A",0
2449,0,0,0,0.000000," ","integrate(1/(a*x^2-b)/(x^3-x)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(a x^{2} - b\right)} {\left(x^{3} - x\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((a*x^2 - b)*(x^3 - x)^(1/3)), x)","F",0
2450,0,0,0,0.000000," ","integrate(1/x^3/(x^3-1)/(x^3+x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(x^{3} - 1\right)} x^{3}}\,{d x}"," ",0,"integrate(1/((x^3 + x^2)^(1/3)*(x^3 - 1)*x^3), x)","F",0
2451,0,0,0,0.000000," ","integrate(1/x^3/(x^3-1)/(x^3+x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(x^{3} - 1\right)} x^{3}}\,{d x}"," ",0,"integrate(1/((x^3 + x^2)^(1/3)*(x^3 - 1)*x^3), x)","F",0
2452,0,0,0,0.000000," ","integrate(1/x^6/(a*x^3-b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a x^{3} - b\right)} x^{6}}\,{d x}"," ",0,"integrate(1/((a^3*x^3 + b^2*x^2)^(1/3)*(a*x^3 - b)*x^6), x)","F",0
2453,0,0,0,0.000000," ","integrate(1/x^6/(a*x^3-b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a x^{3} - b\right)} x^{6}}\,{d x}"," ",0,"integrate(1/((a^3*x^3 + b^2*x^2)^(1/3)*(a*x^3 - b)*x^6), x)","F",0
2454,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{x^{4} + 3 \, x^{2} + 1} {\left(x^{2} + x + 1\right)} {\left(x^{2} - 1\right)}}{{\left(x^{4} + x^{3} + x^{2} + x + 1\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(x^4 + 3*x^2 + 1)*(x^2 + x + 1)*(x^2 - 1)/(x^4 + x^3 + x^2 + x + 1)^2, x)","F",0
2455,0,0,0,0.000000," ","integrate((a*x^4+b)/(a*x^4-b)/(a^2*x^8+c*x^4+b^2)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{4} + b}{{\left(a^{2} x^{8} + c x^{4} + b^{2}\right)}^{\frac{1}{4}} {\left(a x^{4} - b\right)}}\,{d x}"," ",0,"integrate((a*x^4 + b)/((a^2*x^8 + c*x^4 + b^2)^(1/4)*(a*x^4 - b)), x)","F",0
2456,0,0,0,0.000000," ","integrate((-x^9+2*x^4)/(x^5-1)^(1/2)/(x^10-a*x^5+a),x, algorithm=""maxima"")","-\int \frac{x^{9} - 2 \, x^{4}}{{\left(x^{10} - a x^{5} + a\right)} \sqrt{x^{5} - 1}}\,{d x}"," ",0,"-integrate((x^9 - 2*x^4)/((x^10 - a*x^5 + a)*sqrt(x^5 - 1)), x)","F",0
2457,0,0,0,0.000000," ","integrate((x^2+1)/(x^2-1)/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} + 1}{{\left(x^{2} - 1\right)} \sqrt{x + \sqrt{x^{2} + 1}}}\,{d x}"," ",0,"integrate((x^2 + 1)/((x^2 - 1)*sqrt(x + sqrt(x^2 + 1))), x)","F",0
2458,0,0,0,0.000000," ","integrate((c*x^2+d)/(c*x^2-d)/(a*x+(a^2*x^2+b^2)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{c x^{2} + d}{{\left(c x^{2} - d\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}}\,{d x}"," ",0,"integrate((c*x^2 + d)/((c*x^2 - d)*sqrt(a*x + sqrt(a^2*x^2 + b^2))), x)","F",0
2459,0,0,0,0.000000," ","integrate((c*x^2+d)/(c*x^2-d)/(a*x+(a^2*x^2+b^2)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{c x^{2} + d}{{\left(c x^{2} - d\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}}\,{d x}"," ",0,"integrate((c*x^2 + d)/((c*x^2 - d)*sqrt(a*x + sqrt(a^2*x^2 + b^2))), x)","F",0
2460,0,0,0,0.000000," ","integrate(1/x^6/(a*x^3+b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a x^{3} + b\right)} x^{6}}\,{d x}"," ",0,"integrate(1/((a^3*x^3 + b^2*x^2)^(1/3)*(a*x^3 + b)*x^6), x)","F",0
2461,0,0,0,0.000000," ","integrate(1/x^6/(a*x^3+b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a x^{3} + b\right)} x^{6}}\,{d x}"," ",0,"integrate(1/((a^3*x^3 + b^2*x^2)^(1/3)*(a*x^3 + b)*x^6), x)","F",0
2462,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{p^{2} x^{4} + q^{2}} {\left(a p x^{2} + a q + b x\right)} {\left(p x^{2} - q\right)}}{{\left(c p x^{2} + c q + d x\right)} x^{3}}\,{d x}"," ",0,"integrate(sqrt(p^2*x^4 + q^2)*(a*p*x^2 + a*q + b*x)*(p*x^2 - q)/((c*p*x^2 + c*q + d*x)*x^3), x)","F",0
2463,0,0,0,0.000000," ","integrate(x*(7*x^4+3)/(x^4+1)^(1/3)/(x^7+x^3-4),x, algorithm=""maxima"")","\int \frac{{\left(7 \, x^{4} + 3\right)} x}{{\left(x^{7} + x^{3} - 4\right)} {\left(x^{4} + 1\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((7*x^4 + 3)*x/((x^7 + x^3 - 4)*(x^4 + 1)^(1/3)), x)","F",0
2464,0,0,0,0.000000," ","integrate((c*x^2-d)/(c*x^2+d)/(a*x+(a^2*x^2+b^2)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{c x^{2} - d}{{\left(c x^{2} + d\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}}\,{d x}"," ",0,"integrate((c*x^2 - d)/((c*x^2 + d)*sqrt(a*x + sqrt(a^2*x^2 + b^2))), x)","F",0
2465,0,0,0,0.000000," ","integrate((c*x^2-d)/(c*x^2+d)/(a*x+(a^2*x^2+b^2)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{c x^{2} - d}{{\left(c x^{2} + d\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}}\,{d x}"," ",0,"integrate((c*x^2 - d)/((c*x^2 + d)*sqrt(a*x + sqrt(a^2*x^2 + b^2))), x)","F",0
2466,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{a^{2} x^{2} - b x}}{\sqrt{a x^{2} + \sqrt{a^{2} x^{2} - b x} x}}\,{d x}"," ",0,"integrate(sqrt(a^2*x^2 - b*x)/sqrt(a*x^2 + sqrt(a^2*x^2 - b*x)*x), x)","F",0
2467,0,0,0,0.000000," ","integrate((a-2*b+x)/((-a+x)*(-b+x))^(1/3)/(a^2+b*d-(2*a+d)*x+x^2),x, algorithm=""maxima"")","\int \frac{a - 2 \, b + x}{{\left(a^{2} + b d - {\left(2 \, a + d\right)} x + x^{2}\right)} \left({\left(a - x\right)} {\left(b - x\right)}\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((a - 2*b + x)/((a^2 + b*d - (2*a + d)*x + x^2)*((a - x)*(b - x))^(1/3)), x)","F",0
2468,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(a - 2 \, b\right)} a + 2 \, b x - x^{2}}{{\left(a^{2} d + d x^{2} - {\left(2 \, a d + 1\right)} x + b\right)} \left({\left(a - x\right)} {\left(b - x\right)}\right)^{\frac{2}{3}}}\,{d x}"," ",0,"-integrate(((a - 2*b)*a + 2*b*x - x^2)/((a^2*d + d*x^2 - (2*a*d + 1)*x + b)*((a - x)*(b - x))^(2/3)), x)","F",0
2469,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(k - 2\right)} x + 1}{\left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{1}{3}} {\left({\left(k^{2} + b\right)} x^{2} - {\left(b + 2 \, k\right)} x + 1\right)}}\,{d x}"," ",0,"-integrate(((k - 2)*x + 1)/(((k*x - 1)*(x - 1)*x)^(1/3)*((k^2 + b)*x^2 - (b + 2*k)*x + 1)), x)","F",0
2470,0,0,0,0.000000," ","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=""maxima"")","\int \frac{k^{3} x^{4} + 4 \, k^{2} x^{3} + {\left(k^{2} + 1\right)} k x^{2} - 2 \, {\left(k^{2} + 1\right)} x - 3 \, k}{{\left(d k x^{3} - {\left(d + 2\right)} k x - {\left(k^{2} + d\right)} x^{2} + d - 1\right)} \left({\left(k^{2} x^{2} - 1\right)} {\left(x^{2} - 1\right)}\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((k^3*x^4 + 4*k^2*x^3 + (k^2 + 1)*k*x^2 - 2*(k^2 + 1)*x - 3*k)/((d*k*x^3 - (d + 2)*k*x - (k^2 + d)*x^2 + d - 1)*((k^2*x^2 - 1)*(x^2 - 1))^(2/3)), x)","F",0
2471,0,0,0,0.000000," ","integrate((2*x^4-1)/(x^4+1)^(1/4)/(x^8+x^4-1),x, algorithm=""maxima"")","\int \frac{2 \, x^{4} - 1}{{\left(x^{8} + x^{4} - 1\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((2*x^4 - 1)/((x^8 + x^4 - 1)*(x^4 + 1)^(1/4)), x)","F",0
2472,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a {\left(k + 1\right)} x - {\left(a k + 1\right)} x^{2} - a\right)} {\left({\left(k + 1\right)} x^{2} - 2 \, x\right)}}{{\left(b {\left(k + 1\right)} x - {\left(b k - 1\right)} x^{2} - b\right)} \left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{2}{3}} {\left(k x - 1\right)} {\left(x - 1\right)}}\,{d x}"," ",0,"integrate((a*(k + 1)*x - (a*k + 1)*x^2 - a)*((k + 1)*x^2 - 2*x)/((b*(k + 1)*x - (b*k - 1)*x^2 - b)*((k*x - 1)*(x - 1)*x)^(2/3)*(k*x - 1)*(x - 1)), x)","F",0
2473,0,0,0,0.000000," ","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=""maxima"")","\int \frac{k^{3} x^{4} - 4 \, k^{2} x^{3} + {\left(k^{2} + 1\right)} k x^{2} + 2 \, {\left(k^{2} + 1\right)} x - 3 \, k}{{\left(d k x^{3} - {\left(d + 2\right)} k x + {\left(k^{2} + d\right)} x^{2} - d + 1\right)} \left({\left(k^{2} x^{2} - 1\right)} {\left(x^{2} - 1\right)}\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((k^3*x^4 - 4*k^2*x^3 + (k^2 + 1)*k*x^2 + 2*(k^2 + 1)*x - 3*k)/((d*k*x^3 - (d + 2)*k*x + (k^2 + d)*x^2 - d + 1)*((k^2*x^2 - 1)*(x^2 - 1))^(2/3)), x)","F",0
2474,0,0,0,0.000000," ","integrate((x^3-x)^(1/3)*(a*x^6-b)/(c*x^6-d),x, algorithm=""maxima"")","\int \frac{{\left(a x^{6} - b\right)} {\left(x^{3} - x\right)}^{\frac{1}{3}}}{c x^{6} - d}\,{d x}"," ",0,"integrate((a*x^6 - b)*(x^3 - x)^(1/3)/(c*x^6 - d), x)","F",0
2475,0,0,0,0.000000," ","integrate((x^3-x)^(1/3)*(a*x^6-b)/(c*x^6-d),x, algorithm=""maxima"")","\int \frac{{\left(a x^{6} - b\right)} {\left(x^{3} - x\right)}^{\frac{1}{3}}}{c x^{6} - d}\,{d x}"," ",0,"integrate((a*x^6 - b)*(x^3 - x)^(1/3)/(c*x^6 - d), x)","F",0
2476,0,0,0,0.000000," ","integrate(1/(1-x*(a*x^2+b*x+c)^(1/2)),x, algorithm=""maxima"")","-\int \frac{1}{\sqrt{a x^{2} + b x + c} x - 1}\,{d x}"," ",0,"-integrate(1/(sqrt(a*x^2 + b*x + c)*x - 1), x)","F",0
2477,0,0,0,0.000000," ","integrate((a*x^2-b)/(2*a*x^2-b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{a x^{2} - b}{{\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(2 \, a x^{2} - b\right)}}\,{d x}"," ",0,"integrate((a*x^2 - b)/((a^3*x^3 + b^2*x^2)^(1/3)*(2*a*x^2 - b)), x)","F",0
2478,0,0,0,0.000000," ","integrate((a*x^2-b)/(2*a*x^2-b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{a x^{2} - b}{{\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(2 \, a x^{2} - b\right)}}\,{d x}"," ",0,"integrate((a*x^2 - b)/((a^3*x^3 + b^2*x^2)^(1/3)*(2*a*x^2 - b)), x)","F",0
2479,0,0,0,0.000000," ","integrate((a*x^2+b)/(2*a*x^2+b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{a x^{2} + b}{{\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(2 \, a x^{2} + b\right)}}\,{d x}"," ",0,"integrate((a*x^2 + b)/((a^3*x^3 + b^2*x^2)^(1/3)*(2*a*x^2 + b)), x)","F",0
2480,0,0,0,0.000000," ","integrate((a*x^2+b)/(2*a*x^2+b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{a x^{2} + b}{{\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(2 \, a x^{2} + b\right)}}\,{d x}"," ",0,"integrate((a*x^2 + b)/((a^3*x^3 + b^2*x^2)^(1/3)*(2*a*x^2 + b)), x)","F",0
2481,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(4 \, a b - 3 \, {\left(a + b\right)} x + 2 \, x^{2}\right)} x}{{\left(d x^{4} - a b + {\left(a + b\right)} x - x^{2}\right)} \left({\left(a - x\right)} {\left(b - x\right)} x^{2}\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((4*a*b - 3*(a + b)*x + 2*x^2)*x/((d*x^4 - a*b + (a + b)*x - x^2)*((a - x)*(b - x)*x^2)^(1/3)), x)","F",0
2482,0,0,0,0.000000," ","integrate((a*x^4+b)^(1/4)*(3*a*x^4+2*b)/x^6/(a*x^8+b),x, algorithm=""maxima"")","\int \frac{{\left(3 \, a x^{4} + 2 \, b\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{{\left(a x^{8} + b\right)} x^{6}}\,{d x}"," ",0,"integrate((3*a*x^4 + 2*b)*(a*x^4 + b)^(1/4)/((a*x^8 + b)*x^6), x)","F",0
2483,0,0,0,0.000000," ","integrate((a*x^4+b)^(1/4)*(3*a*x^4+2*b)/x^6/(a*x^8+b),x, algorithm=""maxima"")","\int \frac{{\left(3 \, a x^{4} + 2 \, b\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}}{{\left(a x^{8} + b\right)} x^{6}}\,{d x}"," ",0,"integrate((3*a*x^4 + 2*b)*(a*x^4 + b)^(1/4)/((a*x^8 + b)*x^6), x)","F",0
2484,0,0,0,0.000000," ","integrate((x+(1+x)^(1/2))^(1/2)/(x^2+1),x, algorithm=""maxima"")","\int \frac{\sqrt{x + \sqrt{x + 1}}}{x^{2} + 1}\,{d x}"," ",0,"integrate(sqrt(x + sqrt(x + 1))/(x^2 + 1), x)","F",0
2485,0,0,0,0.000000," ","integrate((x+(1+x)^(1/2))^(1/2)/(x^2+1),x, algorithm=""maxima"")","\int \frac{\sqrt{x + \sqrt{x + 1}}}{x^{2} + 1}\,{d x}"," ",0,"integrate(sqrt(x + sqrt(x + 1))/(x^2 + 1), x)","F",0
2486,0,0,0,0.000000," ","integrate((x+(1+x)^(1/2))^(1/2)/(x^2-(1+x)^(1/2)),x, algorithm=""maxima"")","\int \frac{\sqrt{x + \sqrt{x + 1}}}{x^{2} - \sqrt{x + 1}}\,{d x}"," ",0,"integrate(sqrt(x + sqrt(x + 1))/(x^2 - sqrt(x + 1)), x)","F",0
2487,0,0,0,0.000000," ","integrate((x+(1+x)^(1/2))^(1/2)/(x^2-(1+x)^(1/2)),x, algorithm=""maxima"")","\int \frac{\sqrt{x + \sqrt{x + 1}}}{x^{2} - \sqrt{x + 1}}\,{d x}"," ",0,"integrate(sqrt(x + sqrt(x + 1))/(x^2 - sqrt(x + 1)), x)","F",0
2488,0,0,0,0.000000," ","integrate(x^2/(x^2*(-a+x))^(2/3)/(-a^2+2*a*x+(-1+d)*x^2),x, algorithm=""maxima"")","\int \frac{x^{2}}{\left(-{\left(a - x\right)} x^{2}\right)^{\frac{2}{3}} {\left({\left(d - 1\right)} x^{2} - a^{2} + 2 \, a x\right)}}\,{d x}"," ",0,"integrate(x^2/((-(a - x)*x^2)^(2/3)*((d - 1)*x^2 - a^2 + 2*a*x)), x)","F",0
2489,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left({\left(a + k\right)} x^{2} - {\left(k + 1\right)} x + 1\right)} {\left({\left(k + 1\right)} x - 2\right)}}{\left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{2}{3}} {\left({\left(b - k\right)} x^{2} + {\left(k + 1\right)} x - 1\right)} x}\,{d x}"," ",0,"-integrate(((a + k)*x^2 - (k + 1)*x + 1)*((k + 1)*x - 2)/(((k*x - 1)*(x - 1)*x)^(2/3)*((b - k)*x^2 + (k + 1)*x - 1)*x), x)","F",0
2490,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{2 \, a^{2} b x - {\left(3 \, a + 2 \, b\right)} a x^{2} + 4 \, a x^{3} - x^{4}}{\left({\left(a - x\right)} {\left(b - x\right)} x^{2}\right)^{\frac{2}{3}} {\left(d x^{3} - {\left(b d + 1\right)} x^{2} - a^{2} + 2 \, a x\right)}}\,{d x}"," ",0,"-integrate((2*a^2*b*x - (3*a + 2*b)*a*x^2 + 4*a*x^3 - x^4)/(((a - x)*(b - x)*x^2)^(2/3)*(d*x^3 - (b*d + 1)*x^2 - a^2 + 2*a*x)), x)","F",0
2491,0,0,0,0.000000," ","integrate(1/(81*x^4-135*x^3+54*x^2+12*x-8)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(81 \, x^{4} - 135 \, x^{3} + 54 \, x^{2} + 12 \, x - 8\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((81*x^4 - 135*x^3 + 54*x^2 + 12*x - 8)^(-1/3), x)","F",0
2492,0,0,0,0.000000," ","integrate((x^2+1)/(x^2-x-1)/(x^6-1)^(1/3),x, algorithm=""maxima"")","\int \frac{x^{2} + 1}{{\left(x^{6} - 1\right)}^{\frac{1}{3}} {\left(x^{2} - x - 1\right)}}\,{d x}"," ",0,"integrate((x^2 + 1)/((x^6 - 1)^(1/3)*(x^2 - x - 1)), x)","F",0
2493,0,0,0,0.000000," ","integrate((x^2+1)/(x^2-x-1)/(x^6-1)^(1/3),x, algorithm=""maxima"")","\int \frac{x^{2} + 1}{{\left(x^{6} - 1\right)}^{\frac{1}{3}} {\left(x^{2} - x - 1\right)}}\,{d x}"," ",0,"integrate((x^2 + 1)/((x^6 - 1)^(1/3)*(x^2 - x - 1)), x)","F",0
2494,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{7} + x^{6} - x^{5} + 2 \, x^{3} - x\right)}^{\frac{1}{3}} {\left(4 \, x^{6} + 3 \, x^{5} - 2 \, x^{4} + 2\right)}}{{\left(x^{6} + x^{5} - x^{4} + x^{2} - 1\right)}^{2}}\,{d x}"," ",0,"integrate((x^7 + x^6 - x^5 + 2*x^3 - x)^(1/3)*(4*x^6 + 3*x^5 - 2*x^4 + 2)/(x^6 + x^5 - x^4 + x^2 - 1)^2, x)","F",0
2495,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(2 \, k - 1\right)} x - 1}{\left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{1}{3}} {\left({\left(b + k\right)} x^{2} - {\left(2 \, b + 1\right)} x + b\right)}}\,{d x}"," ",0,"integrate(((2*k - 1)*x - 1)/(((k*x - 1)*(x - 1)*x)^(1/3)*((b + k)*x^2 - (2*b + 1)*x + b)), x)","F",0
2496,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a^{2} x^{6} + c x^{3} + 2 \, b^{2}\right)} \sqrt{a^{2} x^{3} + b^{2}}}{{\left(a^{2} x^{6} - b^{2}\right)} x^{7}}\,{d x}"," ",0,"integrate((a^2*x^6 + c*x^3 + 2*b^2)*sqrt(a^2*x^3 + b^2)/((a^2*x^6 - b^2)*x^7), x)","F",0
2497,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(4 \, a - 3 \, x\right)} x^{7}}{{\left(d x^{8} - a^{2} + 2 \, a x - x^{2}\right)} \left(-{\left(a - x\right)} x^{2}\right)^{\frac{2}{3}}}\,{d x}"," ",0,"-integrate((4*a - 3*x)*x^7/((d*x^8 - a^2 + 2*a*x - x^2)*(-(a - x)*x^2)^(2/3)), x)","F",0
2498,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(k^{2} - 2 \, k\right)} x^{2} + 2 \, x - 1}{\left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{2}{3}} {\left({\left(b k^{2} + 1\right)} x^{2} - {\left(2 \, b k + 1\right)} x + b\right)}}\,{d x}"," ",0,"integrate(((k^2 - 2*k)*x^2 + 2*x - 1)/(((k*x - 1)*(x - 1)*x)^(2/3)*((b*k^2 + 1)*x^2 - (2*b*k + 1)*x + b)), x)","F",0
2499,0,0,0,0.000000," ","integrate(1/(x^3-x^2)^(1/3)/(x^4-1),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{4} - 1\right)} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((x^4 - 1)*(x^3 - x^2)^(1/3)), x)","F",0
2500,0,0,0,0.000000," ","integrate(1/(x^3-x^2)^(1/3)/(x^4-1),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{4} - 1\right)} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((x^4 - 1)*(x^3 - x^2)^(1/3)), x)","F",0
2501,0,0,0,0.000000," ","integrate((x^4-x^2)^(1/3)/x/(x^2+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - x^{2}\right)}^{\frac{1}{3}}}{{\left(x^{2} + 1\right)} x}\,{d x}"," ",0,"integrate((x^4 - x^2)^(1/3)/((x^2 + 1)*x), x)","F",0
2502,0,0,0,0.000000," ","integrate((a*x^6+b)/x^3/(a*x^3-b)/(a*x^4+b*x)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{6} + b}{{\left(a x^{4} + b x\right)}^{\frac{1}{4}} {\left(a x^{3} - b\right)} x^{3}}\,{d x}"," ",0,"integrate((a*x^6 + b)/((a*x^4 + b*x)^(1/4)*(a*x^3 - b)*x^3), x)","F",0
2503,0,0,0,0.000000," ","integrate((a*x+(a*x-b)^(1/2))^(1/2)/x^2/(a*x-b)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{a x + \sqrt{a x - b}}}{\sqrt{a x - b} x^{2}}\,{d x}"," ",0,"integrate(sqrt(a*x + sqrt(a*x - b))/(sqrt(a*x - b)*x^2), x)","F",0
2504,0,0,0,0.000000," ","integrate((3+x)/(x^2-1)^(1/3)/(2*x^2-x+5),x, algorithm=""maxima"")","\int \frac{x + 3}{{\left(2 \, x^{2} - x + 5\right)} {\left(x^{2} - 1\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((x + 3)/((2*x^2 - x + 5)*(x^2 - 1)^(1/3)), x)","F",0
2505,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left({\left(a + k\right)} x^{2} - {\left(k + 1\right)} x + 1\right)} {\left({\left(k + 1\right)} x - 2\right)}}{\left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{1}{3}} {\left({\left(b - k\right)} x^{2} + {\left(k + 1\right)} x - 1\right)} x^{2}}\,{d x}"," ",0,"-integrate(((a + k)*x^2 - (k + 1)*x + 1)*((k + 1)*x - 2)/(((k*x - 1)*(x - 1)*x)^(1/3)*((b - k)*x^2 + (k + 1)*x - 1)*x^2), x)","F",0
2506,0,0,0,0.000000," ","integrate((x^3-2)*(x^4+x^3+x)^(1/3)/(x^3+1)/(x^3-x^2+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + x^{3} + x\right)}^{\frac{1}{3}} {\left(x^{3} - 2\right)}}{{\left(x^{3} - x^{2} + 1\right)} {\left(x^{3} + 1\right)}}\,{d x}"," ",0,"integrate((x^4 + x^3 + x)^(1/3)*(x^3 - 2)/((x^3 - x^2 + 1)*(x^3 + 1)), x)","F",0
2507,0,0,0,0.000000," ","integrate((a*x^4+b*x^3)^(1/4)/(a*x+2*x^2-2*b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{a x + 2 \, x^{2} - 2 \, b}\,{d x}"," ",0,"integrate((a*x^4 + b*x^3)^(1/4)/(a*x + 2*x^2 - 2*b), x)","F",0
2508,0,0,0,0.000000," ","integrate((a*x^4+b*x^3)^(1/4)/(a*x+2*x^2-2*b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}}}{a x + 2 \, x^{2} - 2 \, b}\,{d x}"," ",0,"integrate((a*x^4 + b*x^3)^(1/4)/(a*x + 2*x^2 - 2*b), x)","F",0
2509,0,0,0,0.000000," ","integrate((x^3+1)^(2/3)*(2*x^6-1)/x^6/(2*x^3-1),x, algorithm=""maxima"")","\int \frac{{\left(2 \, x^{6} - 1\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{{\left(2 \, x^{3} - 1\right)} x^{6}}\,{d x}"," ",0,"integrate((2*x^6 - 1)*(x^3 + 1)^(2/3)/((2*x^3 - 1)*x^6), x)","F",0
2510,0,0,0,0.000000," ","integrate((a*x^4-b)/(a*x^4+b)/(a^2*x^8+c*x^4+b^2)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{4} - b}{{\left(a^{2} x^{8} + c x^{4} + b^{2}\right)}^{\frac{1}{4}} {\left(a x^{4} + b\right)}}\,{d x}"," ",0,"integrate((a*x^4 - b)/((a^2*x^8 + c*x^4 + b^2)^(1/4)*(a*x^4 + b)), x)","F",0
2511,0,0,0,0.000000," ","integrate((x+(1+x)^(1/2))^(1/2)/(1+x)^(1/2)/(x^2+1),x, algorithm=""maxima"")","\int \frac{\sqrt{x + \sqrt{x + 1}}}{{\left(x^{2} + 1\right)} \sqrt{x + 1}}\,{d x}"," ",0,"integrate(sqrt(x + sqrt(x + 1))/((x^2 + 1)*sqrt(x + 1)), x)","F",0
2512,0,0,0,0.000000," ","integrate((x+(1+x)^(1/2))^(1/2)/(1+x)^(1/2)/(x^2+1),x, algorithm=""maxima"")","\int \frac{\sqrt{x + \sqrt{x + 1}}}{{\left(x^{2} + 1\right)} \sqrt{x + 1}}\,{d x}"," ",0,"integrate(sqrt(x + sqrt(x + 1))/((x^2 + 1)*sqrt(x + 1)), x)","F",0
2513,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(9 \, x^{3} - 30 \, x^{2} + 66 \, x - 19\right)}^{\frac{1}{3}} {\left(x + 2\right)}^{2}}{{\left(x^{3} - 6 \, x^{2} + 6 \, x - 5\right)} {\left(2 \, x - 3\right)}^{2}}\,{d x}"," ",0,"integrate((9*x^3 - 30*x^2 + 66*x - 19)^(1/3)*(x + 2)^2/((x^3 - 6*x^2 + 6*x - 5)*(2*x - 3)^2), x)","F",0
2514,0,0,0,0.000000," ","integrate((x^3+1)/(x^3-1)/(x^4+x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{x^{3} + 1}{{\left(x^{4} + x^{2}\right)}^{\frac{1}{3}} {\left(x^{3} - 1\right)}}\,{d x}"," ",0,"integrate((x^3 + 1)/((x^4 + x^2)^(1/3)*(x^3 - 1)), x)","F",0
2515,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(4 \, a b - 3 \, {\left(a + b\right)} x + 2 \, x^{2}\right)} x}{\left({\left(a - x\right)} {\left(b - x\right)} x^{2}\right)^{\frac{1}{3}} {\left(x^{4} - a b d + {\left(a + b\right)} d x - d x^{2}\right)}}\,{d x}"," ",0,"integrate((4*a*b - 3*(a + b)*x + 2*x^2)*x/(((a - x)*(b - x)*x^2)^(1/3)*(x^4 - a*b*d + (a + b)*d*x - d*x^2)), x)","F",0
2516,0,0,0,0.000000," ","integrate((a*x^4+b)^(1/2)/(a*x^4-b),x, algorithm=""maxima"")","\int \frac{\sqrt{a x^{4} + b}}{a x^{4} - b}\,{d x}"," ",0,"integrate(sqrt(a*x^4 + b)/(a*x^4 - b), x)","F",0
2517,0,0,0,0.000000," ","integrate((x^2+1)/(x^2+x-1)/(x^6-1)^(1/3),x, algorithm=""maxima"")","\int \frac{x^{2} + 1}{{\left(x^{6} - 1\right)}^{\frac{1}{3}} {\left(x^{2} + x - 1\right)}}\,{d x}"," ",0,"integrate((x^2 + 1)/((x^6 - 1)^(1/3)*(x^2 + x - 1)), x)","F",0
2518,0,0,0,0.000000," ","integrate((x^2+1)/(x^2+x-1)/(x^6-1)^(1/3),x, algorithm=""maxima"")","\int \frac{x^{2} + 1}{{\left(x^{6} - 1\right)}^{\frac{1}{3}} {\left(x^{2} + x - 1\right)}}\,{d x}"," ",0,"integrate((x^2 + 1)/((x^6 - 1)^(1/3)*(x^2 + x - 1)), x)","F",0
2519,0,0,0,0.000000," ","integrate(x^3*(x^3-x^2)^(1/3)/(x^6+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} x^{3}}{x^{6} + 1}\,{d x}"," ",0,"integrate((x^3 - x^2)^(1/3)*x^3/(x^6 + 1), x)","F",0
2520,0,0,0,0.000000," ","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=""maxima"")","\int \frac{2 \, a x^{8} - 2 \, c x^{4} + b}{{\left(2 \, a x^{8} - c x^{4} - 2 \, b\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((2*a*x^8 - 2*c*x^4 + b)/((2*a*x^8 - c*x^4 - 2*b)*(a*x^4 - b)^(1/4)), x)","F",0
2521,0,0,0,0.000000," ","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=""maxima"")","\int \frac{2 \, a x^{8} - 2 \, c x^{4} + b}{{\left(2 \, a x^{8} - c x^{4} - 2 \, b\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((2*a*x^8 - 2*c*x^4 + b)/((2*a*x^8 - c*x^4 - 2*b)*(a*x^4 - b)^(1/4)), x)","F",0
2522,0,0,0,0.000000," ","integrate(1/x^3/(x^3+1)/(x^3-x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(x^{3} + 1\right)} x^{3}}\,{d x}"," ",0,"integrate(1/((x^3 - x^2)^(1/3)*(x^3 + 1)*x^3), x)","F",0
2523,0,0,0,0.000000," ","integrate((x^2-1)*(x^4+x^3)^(1/4)/(x^4+x^2+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(x^{2} - 1\right)}}{x^{4} + x^{2} + 1}\,{d x}"," ",0,"integrate((x^4 + x^3)^(1/4)*(x^2 - 1)/(x^4 + x^2 + 1), x)","F",0
2524,0,0,0,0.000000," ","integrate((x^2-1)*(x^4+x^3)^(1/4)/(x^4+x^2+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(x^{2} - 1\right)}}{x^{4} + x^{2} + 1}\,{d x}"," ",0,"integrate((x^4 + x^3)^(1/4)*(x^2 - 1)/(x^4 + x^2 + 1), x)","F",0
2525,0,0,0,0.000000," ","integrate((a*x^2-b)*(a*x^4-b*x^2)^(1/4)/(x^4-a*x^2+b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{2} - b\right)}}{x^{4} - a x^{2} + b}\,{d x}"," ",0,"integrate((a*x^4 - b*x^2)^(1/4)*(a*x^2 - b)/(x^4 - a*x^2 + b), x)","F",0
2526,0,0,0,0.000000," ","integrate((a*x^2-b)*(a*x^4-b*x^2)^(1/4)/(x^4-a*x^2+b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{2} - b\right)}}{x^{4} - a x^{2} + b}\,{d x}"," ",0,"integrate((a*x^4 - b*x^2)^(1/4)*(a*x^2 - b)/(x^4 - a*x^2 + b), x)","F",0
2527,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a x^{2} - b^{2}\right)}^{2}}{{\left(a x^{2} + b^{2}\right)}^{2} \sqrt{b + \sqrt{a x^{2} + b^{2}}}}\,{d x}"," ",0,"integrate((a*x^2 - b^2)^2/((a*x^2 + b^2)^2*sqrt(b + sqrt(a*x^2 + b^2))), x)","F",0
2528,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a {\left(k + 1\right)} x - {\left(a k + 1\right)} x^{2} - a\right)} {\left({\left(k + 1\right)} x - 2\right)}}{{\left(b {\left(k + 1\right)} x - {\left(b k - 1\right)} x^{2} - b\right)} \left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{1}{3}} {\left(k x - 1\right)} {\left(x - 1\right)}}\,{d x}"," ",0,"integrate((a*(k + 1)*x - (a*k + 1)*x^2 - a)*((k + 1)*x - 2)/((b*(k + 1)*x - (b*k - 1)*x^2 - b)*((k*x - 1)*(x - 1)*x)^(1/3)*(k*x - 1)*(x - 1)), x)","F",0
2529,1,480,0,0.596771," ","integrate((x^3+b)^3/(x^3+a)^(1/3),x, algorithm=""maxima"")","\frac{14}{243} \, \sqrt{3} a^{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{3} + a\right)}^{\frac{1}{3}}}{x} + 1\right)}\right) - \frac{1}{6} \, {\left(2 \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{3} + a\right)}^{\frac{1}{3}}}{x} + 1\right)}\right) - \log\left(\frac{{\left(x^{3} + a\right)}^{\frac{1}{3}}}{x} + \frac{{\left(x^{3} + a\right)}^{\frac{2}{3}}}{x^{2}} + 1\right) + 2 \, \log\left(\frac{{\left(x^{3} + a\right)}^{\frac{1}{3}}}{x} - 1\right)\right)} b^{3} - \frac{7}{243} \, a^{3} \log\left(\frac{{\left(x^{3} + a\right)}^{\frac{1}{3}}}{x} + \frac{{\left(x^{3} + a\right)}^{\frac{2}{3}}}{x^{2}} + 1\right) + \frac{14}{243} \, a^{3} \log\left(\frac{{\left(x^{3} + a\right)}^{\frac{1}{3}}}{x} - 1\right) + \frac{1}{6} \, {\left(2 \, \sqrt{3} a \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{3} + a\right)}^{\frac{1}{3}}}{x} + 1\right)}\right) - a \log\left(\frac{{\left(x^{3} + a\right)}^{\frac{1}{3}}}{x} + \frac{{\left(x^{3} + a\right)}^{\frac{2}{3}}}{x^{2}} + 1\right) + 2 \, a \log\left(\frac{{\left(x^{3} + a\right)}^{\frac{1}{3}}}{x} - 1\right) + \frac{6 \, {\left(x^{3} + a\right)}^{\frac{2}{3}} a}{x^{2} {\left(\frac{x^{3} + a}{x^{3}} - 1\right)}}\right)} b^{2} - \frac{1}{18} \, {\left(4 \, \sqrt{3} a^{2} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{3} + a\right)}^{\frac{1}{3}}}{x} + 1\right)}\right) - 2 \, a^{2} \log\left(\frac{{\left(x^{3} + a\right)}^{\frac{1}{3}}}{x} + \frac{{\left(x^{3} + a\right)}^{\frac{2}{3}}}{x^{2}} + 1\right) + 4 \, a^{2} \log\left(\frac{{\left(x^{3} + a\right)}^{\frac{1}{3}}}{x} - 1\right) + \frac{3 \, {\left(\frac{7 \, {\left(x^{3} + a\right)}^{\frac{2}{3}} a^{2}}{x^{2}} - \frac{4 \, {\left(x^{3} + a\right)}^{\frac{5}{3}} a^{2}}{x^{5}}\right)}}{\frac{2 \, {\left(x^{3} + a\right)}}{x^{3}} - \frac{{\left(x^{3} + a\right)}^{2}}{x^{6}} - 1}\right)} b + \frac{\frac{67 \, {\left(x^{3} + a\right)}^{\frac{2}{3}} a^{3}}{x^{2}} - \frac{77 \, {\left(x^{3} + a\right)}^{\frac{5}{3}} a^{3}}{x^{5}} + \frac{28 \, {\left(x^{3} + a\right)}^{\frac{8}{3}} a^{3}}{x^{8}}}{162 \, {\left(\frac{3 \, {\left(x^{3} + a\right)}}{x^{3}} - \frac{3 \, {\left(x^{3} + a\right)}^{2}}{x^{6}} + \frac{{\left(x^{3} + a\right)}^{3}}{x^{9}} - 1\right)}}"," ",0,"14/243*sqrt(3)*a^3*arctan(1/3*sqrt(3)*(2*(x^3 + a)^(1/3)/x + 1)) - 1/6*(2*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^3 + a)^(1/3)/x + 1)) - log((x^3 + a)^(1/3)/x + (x^3 + a)^(2/3)/x^2 + 1) + 2*log((x^3 + a)^(1/3)/x - 1))*b^3 - 7/243*a^3*log((x^3 + a)^(1/3)/x + (x^3 + a)^(2/3)/x^2 + 1) + 14/243*a^3*log((x^3 + a)^(1/3)/x - 1) + 1/6*(2*sqrt(3)*a*arctan(1/3*sqrt(3)*(2*(x^3 + a)^(1/3)/x + 1)) - a*log((x^3 + a)^(1/3)/x + (x^3 + a)^(2/3)/x^2 + 1) + 2*a*log((x^3 + a)^(1/3)/x - 1) + 6*(x^3 + a)^(2/3)*a/(x^2*((x^3 + a)/x^3 - 1)))*b^2 - 1/18*(4*sqrt(3)*a^2*arctan(1/3*sqrt(3)*(2*(x^3 + a)^(1/3)/x + 1)) - 2*a^2*log((x^3 + a)^(1/3)/x + (x^3 + a)^(2/3)/x^2 + 1) + 4*a^2*log((x^3 + a)^(1/3)/x - 1) + 3*(7*(x^3 + a)^(2/3)*a^2/x^2 - 4*(x^3 + a)^(5/3)*a^2/x^5)/(2*(x^3 + a)/x^3 - (x^3 + a)^2/x^6 - 1))*b + 1/162*(67*(x^3 + a)^(2/3)*a^3/x^2 - 77*(x^3 + a)^(5/3)*a^3/x^5 + 28*(x^3 + a)^(8/3)*a^3/x^8)/(3*(x^3 + a)/x^3 - 3*(x^3 + a)^2/x^6 + (x^3 + a)^3/x^9 - 1)","B",0
2530,0,0,0,0.000000," ","integrate((x^3-x^2+1)/(x^3-x^2-1)/(x^3+x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{x^{3} - x^{2} + 1}{{\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(x^{3} - x^{2} - 1\right)}}\,{d x}"," ",0,"integrate((x^3 - x^2 + 1)/((x^3 + x^2)^(1/3)*(x^3 - x^2 - 1)), x)","F",0
2531,0,0,0,0.000000," ","integrate((x^3-x^2+1)/(x^3-x^2-1)/(x^3+x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{x^{3} - x^{2} + 1}{{\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(x^{3} - x^{2} - 1\right)}}\,{d x}"," ",0,"integrate((x^3 - x^2 + 1)/((x^3 + x^2)^(1/3)*(x^3 - x^2 - 1)), x)","F",0
2532,0,0,0,0.000000," ","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=""maxima"")","\int \frac{k^{2} x^{3} + 3 \, k^{2} x^{2} - {\left(2 \, k^{2} - 1\right)} x - 3}{{\left(d k^{2} x^{3} - {\left(d k^{2} + 1\right)} x^{2} - {\left(d + 2\right)} x + d - 1\right)} \left({\left(k^{2} x^{2} - 1\right)} {\left(x^{2} - 1\right)}\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((k^2*x^3 + 3*k^2*x^2 - (2*k^2 - 1)*x - 3)/((d*k^2*x^3 - (d*k^2 + 1)*x^2 - (d + 2)*x + d - 1)*((k^2*x^2 - 1)*(x^2 - 1))^(1/3)), x)","F",0
2533,0,0,0,0.000000," ","integrate(x^2/(a*x^4-b)/(a*x^4+b)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{\sqrt{a x^{4} + b} {\left(a x^{4} - b\right)}}\,{d x}"," ",0,"integrate(x^2/(sqrt(a*x^4 + b)*(a*x^4 - b)), x)","F",0
2534,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left({\left(k + 1\right)} x - 2\right)} {\left(k x - 1\right)} {\left(x - 1\right)}}{{\left(2 \, b {\left(k + 1\right)} k x^{3} - {\left(b k^{2} - 1\right)} x^{4} - {\left(b k^{2} + 4 \, b k + b\right)} x^{2} + 2 \, {\left(b k + b\right)} x - b\right)} \left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{1}{3}}}\,{d x}"," ",0,"-integrate(((k + 1)*x - 2)*(k*x - 1)*(x - 1)/((2*b*(k + 1)*k*x^3 - (b*k^2 - 1)*x^4 - (b*k^2 + 4*b*k + b)*x^2 + 2*(b*k + b)*x - b)*((k*x - 1)*(x - 1)*x)^(1/3)), x)","F",0
2535,0,0,0,0.000000," ","integrate((f*x^2-g)*(c+(a*x+b)^(1/2))^(1/2)/(d*x^2+e),x, algorithm=""maxima"")","\int \frac{{\left(f x^{2} - g\right)} \sqrt{c + \sqrt{a x + b}}}{d x^{2} + e}\,{d x}"," ",0,"integrate((f*x^2 - g)*sqrt(c + sqrt(a*x + b))/(d*x^2 + e), x)","F",0
2536,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{a^{2} x^{2} + b^{2}}}{c x^{2} + d + \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}}\,{d x}"," ",0,"integrate(sqrt(a^2*x^2 + b^2)/(c*x^2 + d + sqrt(a*x + sqrt(a^2*x^2 + b^2))), x)","F",0
2537,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{a^{2} x^{2} + b^{2}}}{c x^{2} + d + \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}}\,{d x}"," ",0,"integrate(sqrt(a^2*x^2 + b^2)/(c*x^2 + d + sqrt(a*x + sqrt(a^2*x^2 + b^2))), x)","F",0
2538,0,0,0,0.000000," ","integrate((1-(1-(1-1/x)^(1/2))^(1/2))^(1/2)/x^2,x, algorithm=""maxima"")","\int \frac{\sqrt{-\sqrt{-\sqrt{-\frac{1}{x} + 1} + 1} + 1}}{x^{2}}\,{d x}"," ",0,"integrate(sqrt(-sqrt(-sqrt(-1/x + 1) + 1) + 1)/x^2, x)","F",0
2539,0,0,0,0.000000," ","integrate((x^4+x^2)^(1/3)/x/(x^2-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + x^{2}\right)}^{\frac{1}{3}}}{{\left(x^{2} - 1\right)} x}\,{d x}"," ",0,"integrate((x^4 + x^2)^(1/3)/((x^2 - 1)*x), x)","F",0
2540,0,0,0,0.000000," ","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=""maxima"")","\int \frac{1}{\sqrt{a^{2} x^{2} + b} \sqrt{a x - \sqrt{a^{2} x^{2} + b}} {\left(d x + c\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(a^2*x^2 + b)*sqrt(a*x - sqrt(a^2*x^2 + b))*(d*x + c)), x)","F",0
2541,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{x + 1} \sqrt{\sqrt{x + 1} + 1}}{x^{2} \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}}\,{d x}"," ",0,"integrate(sqrt(x + 1)*sqrt(sqrt(x + 1) + 1)/(x^2*sqrt(sqrt(sqrt(x + 1) + 1) + 1)), x)","F",0
2542,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(k - 2\right)} x + 1}{\left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{1}{3}} {\left({\left(b k^{2} + 1\right)} x^{2} - {\left(2 \, b k + 1\right)} x + b\right)}}\,{d x}"," ",0,"-integrate(((k - 2)*x + 1)/(((k*x - 1)*(x - 1)*x)^(1/3)*((b*k^2 + 1)*x^2 - (2*b*k + 1)*x + b)), x)","F",0
2543,0,0,0,0.000000," ","integrate(1/x^6/(x^3-1)/(x^3+x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(x^{3} - 1\right)} x^{6}}\,{d x}"," ",0,"integrate(1/((x^3 + x^2)^(1/3)*(x^3 - 1)*x^6), x)","F",0
2544,0,0,0,0.000000," ","integrate(1/x^6/(x^3-1)/(x^3+x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(x^{3} - 1\right)} x^{6}}\,{d x}"," ",0,"integrate(1/((x^3 + x^2)^(1/3)*(x^3 - 1)*x^6), x)","F",0
2545,0,0,0,0.000000," ","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=""maxima"")","\int \frac{k^{2} x^{3} - 3 \, k^{2} x^{2} - {\left(2 \, k^{2} - 1\right)} x + 3}{{\left(d k^{2} x^{3} + {\left(d k^{2} + 1\right)} x^{2} - {\left(d + 2\right)} x - d + 1\right)} \left({\left(k^{2} x^{2} - 1\right)} {\left(x^{2} - 1\right)}\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((k^2*x^3 - 3*k^2*x^2 - (2*k^2 - 1)*x + 3)/((d*k^2*x^3 + (d*k^2 + 1)*x^2 - (d + 2)*x - d + 1)*((k^2*x^2 - 1)*(x^2 - 1))^(1/3)), x)","F",0
2546,0,0,0,0.000000," ","integrate((x^3+1)^(2/3)*(x^6-4*x^3+8)/x^6/(x^3+2),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} - 4 \, x^{3} + 8\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{{\left(x^{3} + 2\right)} x^{6}}\,{d x}"," ",0,"integrate((x^6 - 4*x^3 + 8)*(x^3 + 1)^(2/3)/((x^3 + 2)*x^6), x)","F",0
2547,0,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(x^6+2*x^3+8)/x^6/(x^3-2),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} + 2 \, x^{3} + 8\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{{\left(x^{3} - 2\right)} x^{6}}\,{d x}"," ",0,"integrate((x^6 + 2*x^3 + 8)*(x^3 - 1)^(2/3)/((x^3 - 2)*x^6), x)","F",0
2548,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{p^{2} x^{6} - 2 \, p q x^{4} + 2 \, p q x^{3} + q^{2}} {\left(c x^{4} + {\left(p x^{3} + q\right)} b x^{2} + {\left(p x^{3} + q\right)}^{2} a\right)} {\left(p x^{3} - 2 \, q\right)}}{x^{9}}\,{d x}"," ",0,"integrate(sqrt(p^2*x^6 - 2*p*q*x^4 + 2*p*q*x^3 + q^2)*(c*x^4 + (p*x^3 + q)*b*x^2 + (p*x^3 + q)^2*a)*(p*x^3 - 2*q)/x^9, x)","F",0
2549,0,0,0,0.000000," ","integrate((a*x^2-b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{a x^{2} - b}{{\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((a*x^2 - b)/(a^3*x^3 + b^2*x^2)^(1/3), x)","F",0
2550,0,0,0,0.000000," ","integrate((a*x^2+b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{a x^{2} + b}{{\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((a*x^2 + b)/(a^3*x^3 + b^2*x^2)^(1/3), x)","F",0
2551,0,0,0,0.000000," ","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=""maxima"")","\int \frac{a^{2} b - 4 \, a b x + {\left(2 \, a + 3 \, b\right)} x^{2} - 2 \, x^{3}}{\left(-{\left(a - x\right)}^{2} {\left(b - x\right)}^{3} x\right)^{\frac{1}{4}} {\left(2 \, a d x^{2} - d x^{3} - {\left(a^{2} d - 1\right)} x - b\right)}}\,{d x}"," ",0,"integrate((a^2*b - 4*a*b*x + (2*a + 3*b)*x^2 - 2*x^3)/((-(a - x)^2*(b - x)^3*x)^(1/4)*(2*a*d*x^2 - d*x^3 - (a^2*d - 1)*x - b)), x)","F",0
2552,0,0,0,0.000000," ","integrate((a*x^2+b)*(a*x^4+b*x^3)^(1/4)/x^2/(a*x^2-b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} {\left(a x^{2} + b\right)}}{{\left(a x^{2} - b\right)} x^{2}}\,{d x}"," ",0,"integrate((a*x^4 + b*x^3)^(1/4)*(a*x^2 + b)/((a*x^2 - b)*x^2), x)","F",0
2553,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{a b^{3} - {\left(6 \, a - b\right)} b^{2} x + 9 \, a b x^{2} - {\left(4 \, a + 3 \, b\right)} x^{3} + 2 \, x^{4}}{\left(-{\left(a - x\right)}^{2} {\left(b - x\right)}^{3} x\right)^{\frac{1}{4}} {\left(3 \, b d x^{3} - d x^{4} - {\left(3 \, b^{2} d - 1\right)} x^{2} + a^{2} + {\left(b^{3} d - 2 \, a\right)} x\right)}}\,{d x}"," ",0,"-integrate((a*b^3 - (6*a - b)*b^2*x + 9*a*b*x^2 - (4*a + 3*b)*x^3 + 2*x^4)/((-(a - x)^2*(b - x)^3*x)^(1/4)*(3*b*d*x^3 - d*x^4 - (3*b^2*d - 1)*x^2 + a^2 + (b^3*d - 2*a)*x)), x)","F",0
2554,0,0,0,0.000000," ","integrate((a*x^4-b)^(1/4)*(a*x^8+c*x^4+b)/x^6/(2*a*x^8+b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{8} + c x^{4} + b\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{{\left(2 \, a x^{8} + b\right)} x^{6}}\,{d x}"," ",0,"integrate((a*x^8 + c*x^4 + b)*(a*x^4 - b)^(1/4)/((2*a*x^8 + b)*x^6), x)","F",0
2555,0,0,0,0.000000," ","integrate((a*x^4-b)^(1/4)*(a*x^8+c*x^4+b)/x^6/(2*a*x^8+b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{8} + c x^{4} + b\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}{{\left(2 \, a x^{8} + b\right)} x^{6}}\,{d x}"," ",0,"integrate((a*x^8 + c*x^4 + b)*(a*x^4 - b)^(1/4)/((2*a*x^8 + b)*x^6), x)","F",0
2556,0,0,0,0.000000," ","integrate(1/(c*x+d)/(a*x+(a^2*x^2+b^2)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} {\left(c x + d\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(a*x + sqrt(a^2*x^2 + b^2))*(c*x + d)), x)","F",0
2557,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{p^{2} x^{6} + 2 \, p q x^{3} - 2 \, p q x^{2} + q^{2}} {\left(b p x^{4} + {\left(p x^{3} + q\right)}^{2} a + b q x + c x^{2}\right)} {\left(2 \, p x^{3} - q\right)}}{x^{5}}\,{d x}"," ",0,"integrate(sqrt(p^2*x^6 + 2*p*q*x^3 - 2*p*q*x^2 + q^2)*(b*p*x^4 + (p*x^3 + q)^2*a + b*q*x + c*x^2)*(2*p*x^3 - q)/x^5, x)","F",0
2558,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(a - 2 \, b\right)} a + 2 \, b x - x^{2}}{{\left(a^{2} + b d - {\left(2 \, a + d\right)} x + x^{2}\right)} \left({\left(a - x\right)} {\left(b - x\right)}\right)^{\frac{2}{3}}}\,{d x}"," ",0,"-integrate(((a - 2*b)*a + 2*b*x - x^2)/((a^2 + b*d - (2*a + d)*x + x^2)*((a - x)*(b - x))^(2/3)), x)","F",0
2559,0,0,0,0.000000," ","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=""maxima"")","\int \frac{a - 2 \, b + x}{{\left(a^{2} d + d x^{2} - {\left(2 \, a d + 1\right)} x + b\right)} \left({\left(a - x\right)} {\left(b - x\right)}\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((a - 2*b + x)/((a^2*d + d*x^2 - (2*a*d + 1)*x + b)*((a - x)*(b - x))^(1/3)), x)","F",0
2560,0,0,0,0.000000," ","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=""maxima"")","\int \frac{a - 2 \, b + x}{{\left(a^{2} d + d x^{2} - {\left(2 \, a d + 1\right)} x + b\right)} \left({\left(a - x\right)} {\left(b - x\right)}\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((a - 2*b + x)/((a^2*d + d*x^2 - (2*a*d + 1)*x + b)*((a - x)*(b - x))^(1/3)), x)","F",0
2561,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(2 \, k - 1\right)} x^{2} - 2 \, k x + 1}{\left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{2}{3}} {\left({\left(b + k\right)} x^{2} - {\left(2 \, b + 1\right)} x + b\right)}}\,{d x}"," ",0,"-integrate(((2*k - 1)*x^2 - 2*k*x + 1)/(((k*x - 1)*(x - 1)*x)^(2/3)*((b + k)*x^2 - (2*b + 1)*x + b)), x)","F",0
2562,0,0,0,0.000000," ","integrate((-1+x)/(1+x)/(x^3-x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{x - 1}{{\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(x + 1\right)}}\,{d x}"," ",0,"integrate((x - 1)/((x^3 - x^2)^(1/3)*(x + 1)), x)","F",0
2563,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(3 \, x^{6} - 2 \, x + 3\right)} {\left(x^{6} + x^{3} + x - 1\right)}^{\frac{2}{3}}}{{\left(x^{6} - x^{3} + x - 1\right)} {\left(x^{6} + x - 1\right)}}\,{d x}"," ",0,"integrate((3*x^6 - 2*x + 3)*(x^6 + x^3 + x - 1)^(2/3)/((x^6 - x^3 + x - 1)*(x^6 + x - 1)), x)","F",0
2564,0,0,0,0.000000," ","integrate((2*x^8-2*x^4-1)/(x^4-1)^(1/4)/(x^8-x^4-1),x, algorithm=""maxima"")","\int \frac{2 \, x^{8} - 2 \, x^{4} - 1}{{\left(x^{8} - x^{4} - 1\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((2*x^8 - 2*x^4 - 1)/((x^8 - x^4 - 1)*(x^4 - 1)^(1/4)), x)","F",0
2565,0,0,0,0.000000," ","integrate((2*x^8+2*x^4-1)/(x^4+1)^(1/4)/(x^8+x^4-1),x, algorithm=""maxima"")","\int \frac{2 \, x^{8} + 2 \, x^{4} - 1}{{\left(x^{8} + x^{4} - 1\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((2*x^8 + 2*x^4 - 1)/((x^8 + x^4 - 1)*(x^4 + 1)^(1/4)), x)","F",0
2566,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{a b - {\left(2 \, a - b\right)} x}{\left({\left(a - x\right)} {\left(b - x\right)} x\right)^{\frac{1}{3}} {\left({\left(d - 1\right)} x^{2} - a^{2} - {\left(b d - 2 \, a\right)} x\right)}}\,{d x}"," ",0,"-integrate((a*b - (2*a - b)*x)/(((a - x)*(b - x)*x)^(1/3)*((d - 1)*x^2 - a^2 - (b*d - 2*a)*x)), x)","F",0
2567,0,0,0,0.000000," ","integrate((a*x^4-4*b)*(a*x^4-b)^(1/4)/x^6/(a*x^8-8*b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}} {\left(a x^{4} - 4 \, b\right)}}{{\left(a x^{8} - 8 \, b\right)} x^{6}}\,{d x}"," ",0,"integrate((a*x^4 - b)^(1/4)*(a*x^4 - 4*b)/((a*x^8 - 8*b)*x^6), x)","F",0
2568,0,0,0,0.000000," ","integrate((a*x^4-4*b)*(a*x^4-b)^(1/4)/x^6/(a*x^8-8*b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} - b\right)}^{\frac{1}{4}} {\left(a x^{4} - 4 \, b\right)}}{{\left(a x^{8} - 8 \, b\right)} x^{6}}\,{d x}"," ",0,"integrate((a*x^4 - b)^(1/4)*(a*x^4 - 4*b)/((a*x^8 - 8*b)*x^6), x)","F",0
2569,0,0,0,0.000000," ","integrate(x/(1+x)/(x^3-x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{x}{{\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(x + 1\right)}}\,{d x}"," ",0,"integrate(x/((x^3 - x^2)^(1/3)*(x + 1)), x)","F",0
2570,0,0,0,0.000000," ","integrate((x^3-x^2)^(1/3)/(x^2-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}{x^{2} - 1}\,{d x}"," ",0,"integrate((x^3 - x^2)^(1/3)/(x^2 - 1), x)","F",0
2571,0,0,0,0.000000," ","integrate(x^2*(a^2*x^4+b)^(1/2)*(a*x^2+(a^2*x^4+b)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{a^{2} x^{4} + b} \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}} x^{2}\,{d x}"," ",0,"integrate(sqrt(a^2*x^4 + b)*sqrt(a*x^2 + sqrt(a^2*x^4 + b))*x^2, x)","F",0
2572,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a^{2} x^{2} - b x\right)}^{\frac{3}{2}}}{{\left(a x^{2} + \sqrt{a^{2} x^{2} - b x} x\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((a^2*x^2 - b*x)^(3/2)/(a*x^2 + sqrt(a^2*x^2 - b*x)*x)^(3/2), x)","F",0
2573,0,0,0,0.000000," ","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=""maxima"")","\int \frac{k^{2} x^{3} + 3 \, k x^{2} + {\left(k^{2} - 2\right)} x - 3 \, k}{{\left(d k x^{3} - {\left(d + 2\right)} k x - {\left(k^{2} + d\right)} x^{2} + d - 1\right)} \left({\left(k^{2} x^{2} - 1\right)} {\left(x^{2} - 1\right)}\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((k^2*x^3 + 3*k*x^2 + (k^2 - 2)*x - 3*k)/((d*k*x^3 - (d + 2)*k*x - (k^2 + d)*x^2 + d - 1)*((k^2*x^2 - 1)*(x^2 - 1))^(1/3)), x)","F",0
2574,0,0,0,0.000000," ","integrate((b*x+a)/x/(c*x-d)/(x^4-x^3)^(1/4),x, algorithm=""maxima"")","\int \frac{b x + a}{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(c x - d\right)} x}\,{d x}"," ",0,"integrate((b*x + a)/((x^4 - x^3)^(1/4)*(c*x - d)*x), x)","F",0
2575,0,0,0,0.000000," ","integrate((-4+3*x)*((b*x^4+a*x-a)/(d*x^4+c*x-c))^(1/4)/(-1+x)/x,x, algorithm=""maxima"")","\int \frac{{\left(3 \, x - 4\right)} \left(\frac{b x^{4} + a x - a}{d x^{4} + c x - c}\right)^{\frac{1}{4}}}{{\left(x - 1\right)} x}\,{d x}"," ",0,"integrate((3*x - 4)*((b*x^4 + a*x - a)/(d*x^4 + c*x - c))^(1/4)/((x - 1)*x), x)","F",0
2576,0,0,0,0.000000," ","integrate((x^3+1)^(2/3)*(2*x^6-2*x^3+1)/x^6/(2*x^6-x^3-1),x, algorithm=""maxima"")","\int \frac{{\left(2 \, x^{6} - 2 \, x^{3} + 1\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{{\left(2 \, x^{6} - x^{3} - 1\right)} x^{6}}\,{d x}"," ",0,"integrate((2*x^6 - 2*x^3 + 1)*(x^3 + 1)^(2/3)/((2*x^6 - x^3 - 1)*x^6), x)","F",0
2577,0,0,0,0.000000," ","integrate(2/(3+x)/(8*x^2-8*x+2)^(2/3),x, algorithm=""maxima"")","2 \, \int \frac{1}{{\left(8 \, x^{2} - 8 \, x + 2\right)}^{\frac{2}{3}} {\left(x + 3\right)}}\,{d x}"," ",0,"2*integrate(1/((8*x^2 - 8*x + 2)^(2/3)*(x + 3)), x)","F",0
2578,0,0,0,0.000000," ","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=""maxima"")","\int \frac{3 \, k x^{3} - {\left(k + 4\right)} x^{2} - {\left(2 \, k - 3\right)} x + 1}{{\left(x^{5} - 5 \, x^{4} - {\left(b k + 10\right)} x^{2} + 10 \, x^{3} + {\left(b + 5\right)} x - 1\right)} \left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((3*k*x^3 - (k + 4)*x^2 - (2*k - 3)*x + 1)/((x^5 - 5*x^4 - (b*k + 10)*x^2 + 10*x^3 + (b + 5)*x - 1)*((k*x - 1)*(x - 1)*x)^(1/3)), x)","F",0
2579,0,0,0,0.000000," ","integrate(1/x/((1+x)*(2*q*x+x^2+q))^(1/3),x, algorithm=""maxima"")","\int \frac{1}{\left({\left(2 \, q x + x^{2} + q\right)} {\left(x + 1\right)}\right)^{\frac{1}{3}} x}\,{d x}"," ",0,"integrate(1/(((2*q*x + x^2 + q)*(x + 1))^(1/3)*x), x)","F",0
2580,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(k^{2} - 2 \, k\right)} x^{2} + 2 \, x - 1}{\left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{2}{3}} {\left({\left(k^{2} + b\right)} x^{2} - {\left(b + 2 \, k\right)} x + 1\right)}}\,{d x}"," ",0,"integrate(((k^2 - 2*k)*x^2 + 2*x - 1)/(((k*x - 1)*(x - 1)*x)^(2/3)*((k^2 + b)*x^2 - (b + 2*k)*x + 1)), x)","F",0
2581,0,0,0,0.000000," ","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=""maxima"")","\int \frac{k^{2} x^{3} - 3 \, k x^{2} + {\left(k^{2} - 2\right)} x + 3 \, k}{{\left(d k x^{3} - {\left(d + 2\right)} k x + {\left(k^{2} + d\right)} x^{2} - d + 1\right)} \left({\left(k^{2} x^{2} - 1\right)} {\left(x^{2} - 1\right)}\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((k^2*x^3 - 3*k*x^2 + (k^2 - 2)*x + 3*k)/((d*k*x^3 - (d + 2)*k*x + (k^2 + d)*x^2 - d + 1)*((k^2*x^2 - 1)*(x^2 - 1))^(1/3)), x)","F",0
2582,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{k^{2} x^{4} + 4 \, k^{2} x^{3} + {\left(k^{2} + 1\right)} x^{2} - 2 \, {\left(k^{2} + 1\right)} x - 3}{{\left(k^{2} x^{3} - {\left(k^{2} + d\right)} x^{2} - {\left(2 \, d + 1\right)} x - d + 1\right)} \left({\left(k^{2} x^{2} - 1\right)} {\left(x^{2} - 1\right)}\right)^{\frac{2}{3}}}\,{d x}"," ",0,"-integrate((k^2*x^4 + 4*k^2*x^3 + (k^2 + 1)*x^2 - 2*(k^2 + 1)*x - 3)/((k^2*x^3 - (k^2 + d)*x^2 - (2*d + 1)*x - d + 1)*((k^2*x^2 - 1)*(x^2 - 1))^(2/3)), x)","F",0
2583,1,243,0,0.419518," ","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=""maxima"")","-\frac{1}{72} \cdot 2^{\frac{1}{4}} {\left(165 \, \sqrt{2} + 37\right)} \arctan\left(\frac{1}{2} \cdot 2^{\frac{3}{4}} \left(\frac{x - 1}{2 \, x + 1}\right)^{\frac{1}{4}}\right) - \frac{1}{144} \cdot 2^{\frac{1}{4}} {\left(165 \, \sqrt{2} - 37\right)} \log\left(-\frac{2^{\frac{1}{4}} - \left(\frac{x - 1}{2 \, x + 1}\right)^{\frac{1}{4}}}{2^{\frac{1}{4}} + \left(\frac{x - 1}{2 \, x + 1}\right)^{\frac{1}{4}}}\right) + \frac{3 \, \left(\frac{x - 1}{2 \, x + 1}\right)^{\frac{3}{4}} - \left(\frac{x - 1}{2 \, x + 1}\right)^{\frac{1}{4}}}{2 \, {\left(\frac{x - 1}{2 \, x + 1} - 2\right)}} - \frac{2}{9} \, \arctan\left(2 \, \left(\frac{x - 1}{2 \, x + 1}\right)^{\frac{1}{4}} + 1\right) - \frac{2}{9} \, \arctan\left(2 \, \left(\frac{x - 1}{2 \, x + 1}\right)^{\frac{1}{4}} - 1\right) + \frac{5}{9} \, \log\left(2 \, \sqrt{\frac{x - 1}{2 \, x + 1}} + 2 \, \left(\frac{x - 1}{2 \, x + 1}\right)^{\frac{1}{4}} + 1\right) - \frac{5}{9} \, \log\left(2 \, \sqrt{\frac{x - 1}{2 \, x + 1}} - 2 \, \left(\frac{x - 1}{2 \, x + 1}\right)^{\frac{1}{4}} + 1\right)"," ",0,"-1/72*2^(1/4)*(165*sqrt(2) + 37)*arctan(1/2*2^(3/4)*((x - 1)/(2*x + 1))^(1/4)) - 1/144*2^(1/4)*(165*sqrt(2) - 37)*log(-(2^(1/4) - ((x - 1)/(2*x + 1))^(1/4))/(2^(1/4) + ((x - 1)/(2*x + 1))^(1/4))) + 1/2*(3*((x - 1)/(2*x + 1))^(3/4) - ((x - 1)/(2*x + 1))^(1/4))/((x - 1)/(2*x + 1) - 2) - 2/9*arctan(2*((x - 1)/(2*x + 1))^(1/4) + 1) - 2/9*arctan(2*((x - 1)/(2*x + 1))^(1/4) - 1) + 5/9*log(2*sqrt((x - 1)/(2*x + 1)) + 2*((x - 1)/(2*x + 1))^(1/4) + 1) - 5/9*log(2*sqrt((x - 1)/(2*x + 1)) - 2*((x - 1)/(2*x + 1))^(1/4) + 1)","A",0
2584,0,0,0,0.000000," ","integrate((p*x^2-q)*(p^2*x^4+q^2)^(1/2)/(b*x^3+a*(p*x^2+q)^3),x, algorithm=""maxima"")","\int \frac{\sqrt{p^{2} x^{4} + q^{2}} {\left(p x^{2} - q\right)}}{{\left(p x^{2} + q\right)}^{3} a + b x^{3}}\,{d x}"," ",0,"integrate(sqrt(p^2*x^4 + q^2)*(p*x^2 - q)/((p*x^2 + q)^3*a + b*x^3), x)","F",0
2585,0,0,0,0.000000," ","integrate((p*x^2-q)*(p^2*x^4+q^2)^(1/2)/(b*x^3+a*(p*x^2+q)^3),x, algorithm=""maxima"")","\int \frac{\sqrt{p^{2} x^{4} + q^{2}} {\left(p x^{2} - q\right)}}{{\left(p x^{2} + q\right)}^{3} a + b x^{3}}\,{d x}"," ",0,"integrate(sqrt(p^2*x^4 + q^2)*(p*x^2 - q)/((p*x^2 + q)^3*a + b*x^3), x)","F",0
2586,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{2} - 1\right)}^{2}}{\sqrt{x^{4} + 1} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(x^{2} + 1\right)}^{2}}\,{d x}"," ",0,"integrate((x^2 - 1)^2/(sqrt(x^4 + 1)*sqrt(x^2 + sqrt(x^4 + 1))*(x^2 + 1)^2), x)","F",0
2587,0,0,0,0.000000," ","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=""maxima"")","\int \frac{k^{2} x^{4} - 4 \, k^{2} x^{3} + {\left(k^{2} + 1\right)} x^{2} + 2 \, {\left(k^{2} + 1\right)} x - 3}{{\left(k^{2} x^{3} + {\left(k^{2} + d\right)} x^{2} - {\left(2 \, d + 1\right)} x + d - 1\right)} \left({\left(k^{2} x^{2} - 1\right)} {\left(x^{2} - 1\right)}\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((k^2*x^4 - 4*k^2*x^3 + (k^2 + 1)*x^2 + 2*(k^2 + 1)*x - 3)/((k^2*x^3 + (k^2 + d)*x^2 - (2*d + 1)*x + d - 1)*((k^2*x^2 - 1)*(x^2 - 1))^(2/3)), x)","F",0
2588,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left({\left(k + 1\right)} x - 2\right)} x^{3}}{{\left({\left(k^{2} - b\right)} x^{4} - 2 \, {\left(k^{2} + k\right)} x^{3} + {\left(k^{2} + 4 \, k + 1\right)} x^{2} - 2 \, {\left(k + 1\right)} x + 1\right)} \left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(((k + 1)*x - 2)*x^3/(((k^2 - b)*x^4 - 2*(k^2 + k)*x^3 + (k^2 + 4*k + 1)*x^2 - 2*(k + 1)*x + 1)*((k*x - 1)*(x - 1)*x)^(2/3)), x)","F",0
2589,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{2} + 1\right)}^{2}}{\sqrt{x^{4} + 1} \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(x^{2} - 1\right)}^{2}}\,{d x}"," ",0,"integrate((x^2 + 1)^2/(sqrt(x^4 + 1)*sqrt(x^2 + sqrt(x^4 + 1))*(x^2 - 1)^2), x)","F",0
2590,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(x^{2} - 1\right)}^{2}}{\sqrt{x^{4} + 1} {\left(x^{2} + 1\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(x^2 + sqrt(x^4 + 1))*(x^2 - 1)^2/(sqrt(x^4 + 1)*(x^2 + 1)^2), x)","F",0
2591,0,0,0,0.000000," ","integrate((x^2-1)/(x^2+1)/(1+(1+(1+x)^(1/2))^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} - 1}{{\left(x^{2} + 1\right)} \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}}\,{d x}"," ",0,"integrate((x^2 - 1)/((x^2 + 1)*sqrt(sqrt(sqrt(x + 1) + 1) + 1)), x)","F",0
2592,0,0,0,0.000000," ","integrate((x^2-1)/(x^2+1)/(1+(1+(1+x)^(1/2))^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} - 1}{{\left(x^{2} + 1\right)} \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}}\,{d x}"," ",0,"integrate((x^2 - 1)/((x^2 + 1)*sqrt(sqrt(sqrt(x + 1) + 1) + 1)), x)","F",0
2593,0,0,0,0.000000," ","integrate((-2+x)*(x^3-x^2+x)^(1/3)/(-1+x)/(x^2+x-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} - x^{2} + x\right)}^{\frac{1}{3}} {\left(x - 2\right)}}{{\left(x^{2} + x - 1\right)} {\left(x - 1\right)}}\,{d x}"," ",0,"integrate((x^3 - x^2 + x)^(1/3)*(x - 2)/((x^2 + x - 1)*(x - 1)), x)","F",0
2594,0,0,0,0.000000," ","integrate((x^2+1)*(x^3+x^2)^(1/3)/(x^2-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(x^{2} + 1\right)}}{x^{2} - 1}\,{d x}"," ",0,"integrate((x^3 + x^2)^(1/3)*(x^2 + 1)/(x^2 - 1), x)","F",0
2595,1,227,0,0.422326," ","integrate((a*x-b)/x/(a^3*x^3-b^3)^(1/3),x, algorithm=""maxima"")","-\frac{1}{6} \, a {\left(\frac{2 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(a + \frac{2 \, {\left(a^{3} x^{3} - b^{3}\right)}^{\frac{1}{3}}}{x}\right)}}{3 \, a}\right)}{a} - \frac{\log\left(a^{2} + \frac{{\left(a^{3} x^{3} - b^{3}\right)}^{\frac{1}{3}} a}{x} + \frac{{\left(a^{3} x^{3} - b^{3}\right)}^{\frac{2}{3}}}{x^{2}}\right)}{a} + \frac{2 \, \log\left(-a + \frac{{\left(a^{3} x^{3} - b^{3}\right)}^{\frac{1}{3}}}{x}\right)}{a}\right)} - \frac{1}{6} \, b {\left(\frac{2 \, \sqrt{3} \arctan\left(-\frac{\sqrt{3} {\left(b - 2 \, {\left(a^{3} x^{3} - b^{3}\right)}^{\frac{1}{3}}\right)}}{3 \, b}\right)}{b} + \frac{\log\left(b^{2} - {\left(a^{3} x^{3} - b^{3}\right)}^{\frac{1}{3}} b + {\left(a^{3} x^{3} - b^{3}\right)}^{\frac{2}{3}}\right)}{b} - \frac{2 \, \log\left(b + {\left(a^{3} x^{3} - b^{3}\right)}^{\frac{1}{3}}\right)}{b}\right)}"," ",0,"-1/6*a*(2*sqrt(3)*arctan(1/3*sqrt(3)*(a + 2*(a^3*x^3 - b^3)^(1/3)/x)/a)/a - log(a^2 + (a^3*x^3 - b^3)^(1/3)*a/x + (a^3*x^3 - b^3)^(2/3)/x^2)/a + 2*log(-a + (a^3*x^3 - b^3)^(1/3)/x)/a) - 1/6*b*(2*sqrt(3)*arctan(-1/3*sqrt(3)*(b - 2*(a^3*x^3 - b^3)^(1/3))/b)/b + log(b^2 - (a^3*x^3 - b^3)^(1/3)*b + (a^3*x^3 - b^3)^(2/3))/b - 2*log(b + (a^3*x^3 - b^3)^(1/3))/b)","A",0
2596,0,0,0,0.000000," ","integrate((x^3-2)*(x^4+2*x^3+x)^(1/3)/(x^3+1)/(x^3+x^2+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + 2 \, x^{3} + x\right)}^{\frac{1}{3}} {\left(x^{3} - 2\right)}}{{\left(x^{3} + x^{2} + 1\right)} {\left(x^{3} + 1\right)}}\,{d x}"," ",0,"integrate((x^4 + 2*x^3 + x)^(1/3)*(x^3 - 2)/((x^3 + x^2 + 1)*(x^3 + 1)), x)","F",0
2597,0,0,0,0.000000," ","integrate(x^4/(x^4-1)^(1/4)/(2*x^8-2*x^4+1),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(2 \, x^{8} - 2 \, x^{4} + 1\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(x^4/((2*x^8 - 2*x^4 + 1)*(x^4 - 1)^(1/4)), x)","F",0
2598,0,0,0,0.000000," ","integrate((x^4-1)^(3/4)/(2*x^8-2*x^4+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - 1\right)}^{\frac{3}{4}}}{2 \, x^{8} - 2 \, x^{4} + 1}\,{d x}"," ",0,"integrate((x^4 - 1)^(3/4)/(2*x^8 - 2*x^4 + 1), x)","F",0
2599,0,0,0,0.000000," ","integrate(x^4/(x^4+1)^(1/4)/(2*x^8+2*x^4+1),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(2 \, x^{8} + 2 \, x^{4} + 1\right)} {\left(x^{4} + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(x^4/((2*x^8 + 2*x^4 + 1)*(x^4 + 1)^(1/4)), x)","F",0
2600,0,0,0,0.000000," ","integrate((x^4+1)^(3/4)/(2*x^8+2*x^4+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + 1\right)}^{\frac{3}{4}}}{2 \, x^{8} + 2 \, x^{4} + 1}\,{d x}"," ",0,"integrate((x^4 + 1)^(3/4)/(2*x^8 + 2*x^4 + 1), x)","F",0
2601,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{a^{2} x^{2} - b x} x^{2}}{{\left(a x^{2} + \sqrt{a^{2} x^{2} - b x} x\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(a^2*x^2 - b*x)*x^2/(a*x^2 + sqrt(a^2*x^2 - b*x)*x)^(3/2), x)","F",0
2602,0,0,0,0.000000," ","integrate((x^2+(x^4+1)^(1/2))^(1/2)/(1+x)/(x^4+1)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{2} + \sqrt{x^{4} + 1}}}{\sqrt{x^{4} + 1} {\left(x + 1\right)}}\,{d x}"," ",0,"integrate(sqrt(x^2 + sqrt(x^4 + 1))/(sqrt(x^4 + 1)*(x + 1)), x)","F",0
2603,0,0,0,0.000000," ","integrate((a*x^2-b)/(2*a*x^3-b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{a x^{2} - b}{{\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(2 \, a x^{3} - b\right)}}\,{d x}"," ",0,"integrate((a*x^2 - b)/((a^3*x^3 + b^2*x^2)^(1/3)*(2*a*x^3 - b)), x)","F",0
2604,0,0,0,0.000000," ","integrate((a*x^2-b)/(2*a*x^3-b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{a x^{2} - b}{{\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(2 \, a x^{3} - b\right)}}\,{d x}"," ",0,"integrate((a*x^2 - b)/((a^3*x^3 + b^2*x^2)^(1/3)*(2*a*x^3 - b)), x)","F",0
2605,0,0,0,0.000000," ","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=""maxima"")","\int \frac{2 \, a b x - 3 \, a x^{2} + x^{3}}{\left({\left(a - x\right)} {\left(b - x\right)} x^{2}\right)^{\frac{1}{3}} {\left(d x^{3} - {\left(b d + 1\right)} x^{2} - a^{2} + 2 \, a x\right)}}\,{d x}"," ",0,"integrate((2*a*b*x - 3*a*x^2 + x^3)/(((a - x)*(b - x)*x^2)^(1/3)*(d*x^3 - (b*d + 1)*x^2 - a^2 + 2*a*x)), x)","F",0
2606,0,0,0,0.000000," ","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=""maxima"")","\int \frac{k^{2} x^{3} + {\left(k^{2} - 2\right)} x}{{\left(x^{4} + {\left(d k^{2} - 2\right)} x^{2} - d + 1\right)} \left({\left(k^{2} x^{2} - 1\right)} {\left(x^{2} - 1\right)}\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((k^2*x^3 + (k^2 - 2)*x)/((x^4 + (d*k^2 - 2)*x^2 - d + 1)*((k^2*x^2 - 1)*(x^2 - 1))^(1/3)), x)","F",0
2607,0,0,0,0.000000," ","integrate((1+2*x)*(x^4+x^3)^(1/4)/(x^2+x-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(2 \, x + 1\right)}}{x^{2} + x - 1}\,{d x}"," ",0,"integrate((x^4 + x^3)^(1/4)*(2*x + 1)/(x^2 + x - 1), x)","F",0
2608,0,0,0,0.000000," ","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=""maxima"")","\int \frac{k^{4} x^{5} - 2 \, k^{4} x^{3} + {\left(2 \, k^{2} - 1\right)} x}{{\left(d k^{4} x^{4} - {\left(2 \, d k^{2} - 1\right)} x^{2} + d - 1\right)} \left({\left(k^{2} x^{2} - 1\right)} {\left(x^{2} - 1\right)}\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((k^4*x^5 - 2*k^4*x^3 + (2*k^2 - 1)*x)/((d*k^4*x^4 - (2*d*k^2 - 1)*x^2 + d - 1)*((k^2*x^2 - 1)*(x^2 - 1))^(2/3)), x)","F",0
2609,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(2 \, a b - {\left(a + b\right)} x\right)} {\left(a - x\right)} {\left(b - x\right)}}{{\left(a^{2} b^{2} d - 2 \, {\left(a + b\right)} a b d x - 2 \, {\left(a + b\right)} d x^{3} + {\left(d - 1\right)} x^{4} + {\left(a^{2} + 4 \, a b + b^{2}\right)} d x^{2}\right)} \left({\left(a - x\right)} {\left(b - x\right)} x\right)^{\frac{1}{3}}}\,{d x}"," ",0,"-integrate((2*a*b - (a + b)*x)*(a - x)*(b - x)/((a^2*b^2*d - 2*(a + b)*a*b*d*x - 2*(a + b)*d*x^3 + (d - 1)*x^4 + (a^2 + 4*a*b + b^2)*d*x^2)*((a - x)*(b - x)*x)^(1/3)), x)","F",0
2610,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a^{2} x^{6} + c x^{3} + 2 \, b^{2}\right)} \sqrt{a^{2} x^{3} + b^{2}}}{{\left(a^{2} x^{6} + b^{2}\right)} x}\,{d x}"," ",0,"integrate((a^2*x^6 + c*x^3 + 2*b^2)*sqrt(a^2*x^3 + b^2)/((a^2*x^6 + b^2)*x), x)","F",0
2611,0,0,0,0.000000," ","integrate((x^4+x)^(1/2)*(a*x^6+b)/(c*x^6-d),x, algorithm=""maxima"")","\int \frac{{\left(a x^{6} + b\right)} \sqrt{x^{4} + x}}{c x^{6} - d}\,{d x}"," ",0,"integrate((a*x^6 + b)*sqrt(x^4 + x)/(c*x^6 - d), x)","F",0
2612,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left({\left(2 \, k - 1\right)} x^{2} - 2 \, k x + 1\right)} {\left(k x - 1\right)} x}{{\left({\left(b k^{2} - 1\right)} x^{4} - 2 \, {\left(b k - 2\right)} x^{3} + {\left(b - 6\right)} x^{2} + 4 \, x - 1\right)} \left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(((2*k - 1)*x^2 - 2*k*x + 1)*(k*x - 1)*x/(((b*k^2 - 1)*x^4 - 2*(b*k - 2)*x^3 + (b - 6)*x^2 + 4*x - 1)*((k*x - 1)*(x - 1)*x)^(2/3)), x)","F",0
2613,0,0,0,0.000000," ","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=""maxima"")","\int \frac{a p x^{4} + 4 \, b p x^{3} - 3 \, a q}{{\left(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\right)} {\left(p x^{4} + q\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((a*p*x^4 + 4*b*p*x^3 - 3*a*q)/((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)*(p*x^4 + q)^(1/3)), x)","F",0
2614,0,0,0,0.000000," ","integrate(x^2/(x^2-(a*x+b)^(1/2)*(c+(a*x+b)^(1/2))^(1/2)),x, algorithm=""maxima"")","\int \frac{x^{2}}{x^{2} - \sqrt{a x + b} \sqrt{c + \sqrt{a x + b}}}\,{d x}"," ",0,"integrate(x^2/(x^2 - sqrt(a*x + b)*sqrt(c + sqrt(a*x + b))), x)","F",0
2615,0,0,0,0.000000," ","integrate(x^2/(x^2-(a*x+b)^(1/2)*(c+(a*x+b)^(1/2))^(1/2)),x, algorithm=""maxima"")","\int \frac{x^{2}}{x^{2} - \sqrt{a x + b} \sqrt{c + \sqrt{a x + b}}}\,{d x}"," ",0,"integrate(x^2/(x^2 - sqrt(a*x + b)*sqrt(c + sqrt(a*x + b))), x)","F",0
2616,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{k^{2} x^{3} + 3 \, k^{2} x^{2} - {\left(2 \, k^{2} - 1\right)} x - 3}{{\left(k^{2} x^{3} - {\left(k^{2} + d\right)} x^{2} - {\left(2 \, d + 1\right)} x - d + 1\right)} \left({\left(k^{2} x^{2} - 1\right)} {\left(x^{2} - 1\right)}\right)^{\frac{1}{3}}}\,{d x}"," ",0,"-integrate((k^2*x^3 + 3*k^2*x^2 - (2*k^2 - 1)*x - 3)/((k^2*x^3 - (k^2 + d)*x^2 - (2*d + 1)*x - d + 1)*((k^2*x^2 - 1)*(x^2 - 1))^(1/3)), x)","F",0
2617,0,0,0,0.000000," ","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=""maxima"")","\int \frac{k^{2} x^{3} - 3 \, k^{2} x^{2} - {\left(2 \, k^{2} - 1\right)} x + 3}{{\left(k^{2} x^{3} + {\left(k^{2} + d\right)} x^{2} - {\left(2 \, d + 1\right)} x + d - 1\right)} \left({\left(k^{2} x^{2} - 1\right)} {\left(x^{2} - 1\right)}\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((k^2*x^3 - 3*k^2*x^2 - (2*k^2 - 1)*x + 3)/((k^2*x^3 + (k^2 + d)*x^2 - (2*d + 1)*x + d - 1)*((k^2*x^2 - 1)*(x^2 - 1))^(1/3)), x)","F",0
2618,0,0,0,0.000000," ","integrate((a^4*x^4-b^4)^(1/2)*(a^4*x^4+b^4)/(a^8*x^8+b^8-c*x^4),x, algorithm=""maxima"")","\int \frac{{\left(a^{4} x^{4} + b^{4}\right)} \sqrt{a^{4} x^{4} - b^{4}}}{a^{8} x^{8} + b^{8} - c x^{4}}\,{d x}"," ",0,"integrate((a^4*x^4 + b^4)*sqrt(a^4*x^4 - b^4)/(a^8*x^8 + b^8 - c*x^4), x)","F",0
2619,0,0,0,0.000000," ","integrate((a^8*x^8-b^8)/(a^4*x^4-b^4)^(1/2)/(a^8*x^8+b^8-c*x^4),x, algorithm=""maxima"")","\int \frac{a^{8} x^{8} - b^{8}}{{\left(a^{8} x^{8} + b^{8} - c x^{4}\right)} \sqrt{a^{4} x^{4} - b^{4}}}\,{d x}"," ",0,"integrate((a^8*x^8 - b^8)/((a^8*x^8 + b^8 - c*x^4)*sqrt(a^4*x^4 - b^4)), x)","F",0
2620,0,0,0,0.000000," ","integrate((a*x+(a*x-b)^(1/2))^(1/2)/x^2,x, algorithm=""maxima"")","\int \frac{\sqrt{a x + \sqrt{a x - b}}}{x^{2}}\,{d x}"," ",0,"integrate(sqrt(a*x + sqrt(a*x - b))/x^2, x)","F",0
2621,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(2 \, k - 1\right)} x^{2} - 2 \, k x + 1}{\left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{2}{3}} {\left({\left(b k + 1\right)} x^{2} - {\left(b + 2\right)} x + 1\right)}}\,{d x}"," ",0,"-integrate(((2*k - 1)*x^2 - 2*k*x + 1)/(((k*x - 1)*(x - 1)*x)^(2/3)*((b*k + 1)*x^2 - (b + 2)*x + 1)), x)","F",0
2622,0,0,0,0.000000," ","integrate(x^3*(x^2+3)/(x^2+1)/(-x^3+x^2+1)^(1/3)/(x^3+x^2+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{2} + 3\right)} x^{3}}{{\left(x^{3} + x^{2} + 1\right)} {\left(-x^{3} + x^{2} + 1\right)}^{\frac{1}{3}} {\left(x^{2} + 1\right)}}\,{d x}"," ",0,"integrate((x^2 + 3)*x^3/((x^3 + x^2 + 1)*(-x^3 + x^2 + 1)^(1/3)*(x^2 + 1)), x)","F",0
2623,0,0,0,0.000000," ","integrate((x^2+1)*(x^4-x^3)^(1/4)/(2*x^2+x-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(x^{2} + 1\right)}}{2 \, x^{2} + x - 1}\,{d x}"," ",0,"integrate((x^4 - x^3)^(1/4)*(x^2 + 1)/(2*x^2 + x - 1), x)","F",0
2624,0,0,0,0.000000," ","integrate((a*x^4+b*x^2)^(1/4)*(x^8+a*x^4+b)/(a*x^4+b),x, algorithm=""maxima"")","\int \frac{{\left(x^{8} + a x^{4} + b\right)} {\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}}}{a x^{4} + b}\,{d x}"," ",0,"integrate((x^8 + a*x^4 + b)*(a*x^4 + b*x^2)^(1/4)/(a*x^4 + b), x)","F",0
2625,0,0,0,0.000000," ","integrate((a*x^4+b*x^2)^(1/4)*(x^8+a*x^4+b)/(a*x^4+b),x, algorithm=""maxima"")","\int \frac{{\left(x^{8} + a x^{4} + b\right)} {\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}}}{a x^{4} + b}\,{d x}"," ",0,"integrate((x^8 + a*x^4 + b)*(a*x^4 + b*x^2)^(1/4)/(a*x^4 + b), x)","F",0
2626,0,0,0,0.000000," ","integrate(1/(x^2-1)^(1/3)/(x^2+3),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{2} + 3\right)} {\left(x^{2} - 1\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((x^2 + 3)*(x^2 - 1)^(1/3)), x)","F",0
2627,0,0,0,0.000000," ","integrate((1+x)/(x^2+3*x+1)/(-x^3+1)^(1/3),x, algorithm=""maxima"")","\int \frac{x + 1}{{\left(-x^{3} + 1\right)}^{\frac{1}{3}} {\left(x^{2} + 3 \, x + 1\right)}}\,{d x}"," ",0,"integrate((x + 1)/((-x^3 + 1)^(1/3)*(x^2 + 3*x + 1)), x)","F",0
2628,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{k^{3} x^{4} + 4 \, k^{2} x^{3} + {\left(k^{2} + 1\right)} k x^{2} - 2 \, {\left(k^{2} + 1\right)} x - 3 \, k}{{\left(k x^{3} - {\left(2 \, d + 1\right)} k x - {\left(d k^{2} + 1\right)} x^{2} - d + 1\right)} \left({\left(k^{2} x^{2} - 1\right)} {\left(x^{2} - 1\right)}\right)^{\frac{2}{3}}}\,{d x}"," ",0,"-integrate((k^3*x^4 + 4*k^2*x^3 + (k^2 + 1)*k*x^2 - 2*(k^2 + 1)*x - 3*k)/((k*x^3 - (2*d + 1)*k*x - (d*k^2 + 1)*x^2 - d + 1)*((k^2*x^2 - 1)*(x^2 - 1))^(2/3)), x)","F",0
2629,0,0,0,0.000000," ","integrate((x^4-x)^(1/2)*(a*x^6+b)/(c*x^6-d),x, algorithm=""maxima"")","\int \frac{{\left(a x^{6} + b\right)} \sqrt{x^{4} - x}}{c x^{6} - d}\,{d x}"," ",0,"integrate((a*x^6 + b)*sqrt(x^4 - x)/(c*x^6 - d), x)","F",0
2630,0,0,0,0.000000," ","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=""maxima"")","\int \frac{a^{2} b - 2 \, a^{2} x + {\left(2 \, a - b\right)} x^{2}}{{\left(a^{2} d + {\left(d - 1\right)} x^{2} - {\left(2 \, a d - b\right)} x\right)} \left({\left(a - x\right)} {\left(b - x\right)} x\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((a^2*b - 2*a^2*x + (2*a - b)*x^2)/((a^2*d + (d - 1)*x^2 - (2*a*d - b)*x)*((a - x)*(b - x)*x)^(2/3)), x)","F",0
2631,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{2 \, a b^{2} x - {\left(2 \, a + b\right)} b x^{2} + x^{4}}{\left(-{\left(a - x\right)} {\left(b - x\right)}^{2} x\right)^{\frac{2}{3}} {\left(a b^{2} - {\left(2 \, a + b\right)} b x + {\left(a + 2 \, b + d\right)} x^{2} - x^{3}\right)}}\,{d x}"," ",0,"-integrate((2*a*b^2*x - (2*a + b)*b*x^2 + x^4)/((-(a - x)*(b - x)^2*x)^(2/3)*(a*b^2 - (2*a + b)*b*x + (a + 2*b + d)*x^2 - x^3)), x)","F",0
2632,0,0,0,0.000000," ","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=""maxima"")","\int \frac{k^{3} x^{4} - 4 \, k^{2} x^{3} + {\left(k^{2} + 1\right)} k x^{2} + 2 \, {\left(k^{2} + 1\right)} x - 3 \, k}{{\left(k x^{3} - {\left(2 \, d + 1\right)} k x + {\left(d k^{2} + 1\right)} x^{2} + d - 1\right)} \left({\left(k^{2} x^{2} - 1\right)} {\left(x^{2} - 1\right)}\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((k^3*x^4 - 4*k^2*x^3 + (k^2 + 1)*k*x^2 + 2*(k^2 + 1)*x - 3*k)/((k*x^3 - (2*d + 1)*k*x + (d*k^2 + 1)*x^2 + d - 1)*((k^2*x^2 - 1)*(x^2 - 1))^(2/3)), x)","F",0
2633,0,0,0,0.000000," ","integrate((1-((-1+3*x)*(3+4*x))^(3/2))/(1+((-1+3*x)*(3+4*x))^(3/2)),x, algorithm=""maxima"")","-\int \frac{\left({\left(4 \, x + 3\right)} {\left(3 \, x - 1\right)}\right)^{\frac{3}{2}} - 1}{\left({\left(4 \, x + 3\right)} {\left(3 \, x - 1\right)}\right)^{\frac{3}{2}} + 1}\,{d x}"," ",0,"-integrate((((4*x + 3)*(3*x - 1))^(3/2) - 1)/(((4*x + 3)*(3*x - 1))^(3/2) + 1), x)","F",0
2634,0,0,0,0.000000," ","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=""maxima"")","\int \frac{1}{{\left(a^{2} x^{2} - b x\right)}^{\frac{3}{2}} {\left(a x^{2} + \sqrt{a^{2} x^{2} - b x} x\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((a^2*x^2 - b*x)^(3/2)*(a*x^2 + sqrt(a^2*x^2 - b*x)*x)^(3/2)), x)","F",0
2635,0,0,0,0.000000," ","integrate(1/x/((-1+x)*(-2*q*x+x^2+q))^(1/3),x, algorithm=""maxima"")","\int \frac{1}{\left(-{\left(2 \, q x - x^{2} - q\right)} {\left(x - 1\right)}\right)^{\frac{1}{3}} x}\,{d x}"," ",0,"integrate(1/((-(2*q*x - x^2 - q)*(x - 1))^(1/3)*x), x)","F",0
2636,0,0,0,0.000000," ","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=""maxima"")","\int \frac{a b - {\left(2 \, a - b\right)} x}{{\left(a^{2} d + {\left(d - 1\right)} x^{2} - {\left(2 \, a d - b\right)} x\right)} \left({\left(a - x\right)} {\left(b - x\right)} x\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((a*b - (2*a - b)*x)/((a^2*d + (d - 1)*x^2 - (2*a*d - b)*x)*((a - x)*(b - x)*x)^(1/3)), x)","F",0
2637,0,0,0,0.000000," ","integrate((x^4+1)/(x^4-x^2-1)/(x^4-x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{4} + 1}{{\left(x^{4} - x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} - x^{2} - 1\right)}}\,{d x}"," ",0,"integrate((x^4 + 1)/((x^4 - x^2)^(1/4)*(x^4 - x^2 - 1)), x)","F",0
2638,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{\frac{a^{2} x^{2}}{b^{2}} - \frac{a}{b^{2}}} x^{3}}{\sqrt{a x^{2} + \sqrt{\frac{a^{2} x^{2}}{b^{2}} - \frac{a}{b^{2}}} b x}}\,{d x}"," ",0,"integrate(sqrt(a^2*x^2/b^2 - a/b^2)*x^3/sqrt(a*x^2 + sqrt(a^2*x^2/b^2 - a/b^2)*b*x), x)","F",0
2639,0,0,0,0.000000," ","integrate((x^3-x)^(1/3)*(x^4-2)/x^4/(x^2+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - 2\right)} {\left(x^{3} - x\right)}^{\frac{1}{3}}}{{\left(x^{2} + 1\right)} x^{4}}\,{d x}"," ",0,"integrate((x^4 - 2)*(x^3 - x)^(1/3)/((x^2 + 1)*x^4), x)","F",0
2640,0,0,0,0.000000," ","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=""maxima"")","2 \, \int \frac{a p x^{5} - 2 \, b p x^{3} + 3 \, a q x}{{\left(a^{3} d x^{6} + 3 \, a b^{2} d x^{2} + {\left(3 \, a^{2} b d + c p\right)} x^{4} + b^{3} d + c q\right)} {\left(p x^{4} + q\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"2*integrate((a*p*x^5 - 2*b*p*x^3 + 3*a*q*x)/((a^3*d*x^6 + 3*a*b^2*d*x^2 + (3*a^2*b*d + c*p)*x^4 + b^3*d + c*q)*(p*x^4 + q)^(1/3)), x)","F",0
2641,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a^{2} b - 4 \, a b x + {\left(2 \, a + 3 \, b\right)} x^{2} - 2 \, x^{3}\right)} {\left(b^{2} - 2 \, b x + x^{2}\right)}}{\left(-{\left(a - x\right)}^{2} {\left(b - x\right)}^{3} x\right)^{\frac{3}{4}} {\left(2 \, a x^{2} - x^{3} - b d - {\left(a^{2} - d\right)} x\right)}}\,{d x}"," ",0,"integrate((a^2*b - 4*a*b*x + (2*a + 3*b)*x^2 - 2*x^3)*(b^2 - 2*b*x + x^2)/((-(a - x)^2*(b - x)^3*x)^(3/4)*(2*a*x^2 - x^3 - b*d - (a^2 - d)*x)), x)","F",0
2642,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left({\left(k^{2} + a\right)} x^{4} - 2 \, {\left(k^{2} + k\right)} x^{3} + {\left(k^{2} + 4 \, k + 1\right)} x^{2} - 2 \, {\left(k + 1\right)} x + 1\right)} {\left({\left(k + 1\right)} x - 2\right)}}{\left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{2}{3}} {\left({\left(b - k\right)} x^{2} + {\left(k + 1\right)} x - 1\right)} x^{3}}\,{d x}"," ",0,"-integrate(((k^2 + a)*x^4 - 2*(k^2 + k)*x^3 + (k^2 + 4*k + 1)*x^2 - 2*(k + 1)*x + 1)*((k + 1)*x - 2)/(((k*x - 1)*(x - 1)*x)^(2/3)*((b - k)*x^2 + (k + 1)*x - 1)*x^3), x)","F",0
2643,0,0,0,0.000000," ","integrate((x^3+1)*(x^3-x^2)^(1/3)/(x^6+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(x^{3} + 1\right)}}{x^{6} + 1}\,{d x}"," ",0,"integrate((x^3 - x^2)^(1/3)*(x^3 + 1)/(x^6 + 1), x)","F",0
2644,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}{\sqrt{a^{2} x^{4} + b} {\left(c x^{2} + d\right)}}\,{d x}"," ",0,"integrate(sqrt(a*x^2 + sqrt(a^2*x^4 + b))/(sqrt(a^2*x^4 + b)*(c*x^2 + d)), x)","F",0
2645,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}{\sqrt{a^{2} x^{4} + b} {\left(c x^{2} + d\right)}}\,{d x}"," ",0,"integrate(sqrt(a*x^2 + sqrt(a^2*x^4 + b))/(sqrt(a^2*x^4 + b)*(c*x^2 + d)), x)","F",0
2646,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{a x + \sqrt{a^{2} x^{2} + b}} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}}}{{\left(a^{2} x^{2} + b\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(a*x + sqrt(a^2*x^2 + b))*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b)))/(a^2*x^2 + b)^(3/2), x)","F",0
2647,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{a x + \sqrt{a^{2} x^{2} + b}} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}}}{{\left(a^{2} x^{2} + b\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(a*x + sqrt(a^2*x^2 + b))*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b)))/(a^2*x^2 + b)^(3/2), x)","F",0
2648,0,0,0,0.000000," ","integrate((a*k*x+k*x^2+1)/(k*x^2-1)/((-x^2+1)*(-k^2*x^2+1))^(1/2),x, algorithm=""maxima"")","\int \frac{a k x + k x^{2} + 1}{{\left(k x^{2} - 1\right)} \sqrt{{\left(k^{2} x^{2} - 1\right)} {\left(x^{2} - 1\right)}}}\,{d x}"," ",0,"integrate((a*k*x + k*x^2 + 1)/((k*x^2 - 1)*sqrt((k^2*x^2 - 1)*(x^2 - 1))), x)","F",0
2649,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{k^{2} x^{3} + 3 \, k x^{2} + {\left(k^{2} - 2\right)} x - 3 \, k}{{\left(k x^{3} - {\left(2 \, d + 1\right)} k x - {\left(d k^{2} + 1\right)} x^{2} - d + 1\right)} \left({\left(k^{2} x^{2} - 1\right)} {\left(x^{2} - 1\right)}\right)^{\frac{1}{3}}}\,{d x}"," ",0,"-integrate((k^2*x^3 + 3*k*x^2 + (k^2 - 2)*x - 3*k)/((k*x^3 - (2*d + 1)*k*x - (d*k^2 + 1)*x^2 - d + 1)*((k^2*x^2 - 1)*(x^2 - 1))^(1/3)), x)","F",0
2650,0,0,0,0.000000," ","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=""maxima"")","\int \frac{k^{2} x^{3} - 3 \, k x^{2} + {\left(k^{2} - 2\right)} x + 3 \, k}{{\left(k x^{3} - {\left(2 \, d + 1\right)} k x + {\left(d k^{2} + 1\right)} x^{2} + d - 1\right)} \left({\left(k^{2} x^{2} - 1\right)} {\left(x^{2} - 1\right)}\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((k^2*x^3 - 3*k*x^2 + (k^2 - 2)*x + 3*k)/((k*x^3 - (2*d + 1)*k*x + (d*k^2 + 1)*x^2 + d - 1)*((k^2*x^2 - 1)*(x^2 - 1))^(1/3)), x)","F",0
2651,0,0,0,0.000000," ","integrate((a*x^4-b*x^3)^(1/4)/(c*x^2+d),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}}}{c x^{2} + d}\,{d x}"," ",0,"integrate((a*x^4 - b*x^3)^(1/4)/(c*x^2 + d), x)","F",0
2652,0,0,0,0.000000," ","integrate((a*x^4-b*x^3)^(1/4)/(c*x^2+d),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}}}{c x^{2} + d}\,{d x}"," ",0,"integrate((a*x^4 - b*x^3)^(1/4)/(c*x^2 + d), x)","F",0
2653,0,0,0,0.000000," ","integrate((c*x^4+d)/x/(a*x+(a^2*x^2+b^2)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{c x^{4} + d}{\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} x}\,{d x}"," ",0,"integrate((c*x^4 + d)/(sqrt(a*x + sqrt(a^2*x^2 + b^2))*x), x)","F",0
2654,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{x^{2} + 1} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{\sqrt{x + \sqrt{x^{2} + 1}}}\,{d x}"," ",0,"integrate(sqrt(x^2 + 1)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/sqrt(x + sqrt(x^2 + 1)), x)","F",0
2655,0,0,0,0.000000," ","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=""maxima"")","\int \sqrt{x^{2} + 1} \sqrt{x + \sqrt{x^{2} + 1}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\,{d x}"," ",0,"integrate(sqrt(x^2 + 1)*sqrt(x + sqrt(x^2 + 1))*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1), x)","F",0
2656,0,0,0,0.000000," ","integrate((x^4-x^3)^(1/4)/x/(a*x-b),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}}}{{\left(a x - b\right)} x}\,{d x}"," ",0,"integrate((x^4 - x^3)^(1/4)/((a*x - b)*x), x)","F",0
2657,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(2 \, a b - {\left(a + b\right)} x\right)} x^{3}}{{\left({\left(d - 1\right)} x^{4} - a^{2} b^{2} + 2 \, {\left(a + b\right)} a b x + 2 \, {\left(a + b\right)} x^{3} - {\left(a^{2} + 4 \, a b + b^{2}\right)} x^{2}\right)} \left({\left(a - x\right)} {\left(b - x\right)} x\right)^{\frac{2}{3}}}\,{d x}"," ",0,"-integrate((2*a*b - (a + b)*x)*x^3/(((d - 1)*x^4 - a^2*b^2 + 2*(a + b)*a*b*x + 2*(a + b)*x^3 - (a^2 + 4*a*b + b^2)*x^2)*((a - x)*(b - x)*x)^(2/3)), x)","F",0
2658,0,0,0,0.000000," ","integrate((2*x^6+1)/(x^3+x)^(1/3)/(x^6-1),x, algorithm=""maxima"")","\int \frac{2 \, x^{6} + 1}{{\left(x^{6} - 1\right)} {\left(x^{3} + x\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((2*x^6 + 1)/((x^6 - 1)*(x^3 + x)^(1/3)), x)","F",0
2659,0,0,0,0.000000," ","integrate((2*x^6+1)/(x^3+x)^(1/3)/(x^6-1),x, algorithm=""maxima"")","\int \frac{2 \, x^{6} + 1}{{\left(x^{6} - 1\right)} {\left(x^{3} + x\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((2*x^6 + 1)/((x^6 - 1)*(x^3 + x)^(1/3)), x)","F",0
2660,0,0,0,0.000000," ","integrate((a*x^3-4*b)*(a*x^3+b)^(1/3)/x^5/(a*x^3-2*b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{3} + b\right)}^{\frac{1}{3}} {\left(a x^{3} - 4 \, b\right)}}{{\left(a x^{3} - 2 \, b\right)} x^{5}}\,{d x}"," ",0,"integrate((a*x^3 + b)^(1/3)*(a*x^3 - 4*b)/((a*x^3 - 2*b)*x^5), x)","F",0
2661,0,0,0,0.000000," ","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=""maxima"")","\int \frac{2 \, a^{2} b x - {\left(3 \, a + 2 \, b\right)} a x^{2} + 4 \, a x^{3} - x^{4}}{\left({\left(a - x\right)} {\left(b - x\right)} x^{2}\right)^{\frac{2}{3}} {\left(a^{2} d - 2 \, a d x + {\left(b + d\right)} x^{2} - x^{3}\right)}}\,{d x}"," ",0,"integrate((2*a^2*b*x - (3*a + 2*b)*a*x^2 + 4*a*x^3 - x^4)/(((a - x)*(b - x)*x^2)^(2/3)*(a^2*d - 2*a*d*x + (b + d)*x^2 - x^3)), x)","F",0
2662,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left({\left(k^{2} + a\right)} x^{4} - 2 \, {\left(k^{2} + k\right)} x^{3} + {\left(k^{2} + 4 \, k + 1\right)} x^{2} - 2 \, {\left(k + 1\right)} x + 1\right)} {\left({\left(k + 1\right)} x - 2\right)}}{\left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{1}{3}} {\left({\left(b - k\right)} x^{2} + {\left(k + 1\right)} x - 1\right)} x^{4}}\,{d x}"," ",0,"-integrate(((k^2 + a)*x^4 - 2*(k^2 + k)*x^3 + (k^2 + 4*k + 1)*x^2 - 2*(k + 1)*x + 1)*((k + 1)*x - 2)/(((k*x - 1)*(x - 1)*x)^(1/3)*((b - k)*x^2 + (k + 1)*x - 1)*x^4), x)","F",0
2663,0,0,0,0.000000," ","integrate(x^6*(x^4+x)^(1/2)/(a*x^6+b),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{4} + x} x^{6}}{a x^{6} + b}\,{d x}"," ",0,"integrate(sqrt(x^4 + x)*x^6/(a*x^6 + b), x)","F",0
2664,0,0,0,0.000000," ","integrate((a*x^4+b*x^2)^(1/4)*(x^8-a*x^4-b)/(a*x^4-b),x, algorithm=""maxima"")","\int \frac{{\left(x^{8} - a x^{4} - b\right)} {\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}}}{a x^{4} - b}\,{d x}"," ",0,"integrate((x^8 - a*x^4 - b)*(a*x^4 + b*x^2)^(1/4)/(a*x^4 - b), x)","F",0
2665,0,0,0,0.000000," ","integrate((a*x^4+b*x^2)^(1/4)*(x^8-a*x^4-b)/(a*x^4-b),x, algorithm=""maxima"")","\int \frac{{\left(x^{8} - a x^{4} - b\right)} {\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}}}{a x^{4} - b}\,{d x}"," ",0,"integrate((x^8 - a*x^4 - b)*(a*x^4 + b*x^2)^(1/4)/(a*x^4 - b), x)","F",0
2666,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{8} + x^{5} - x^{3} + x\right)}^{\frac{1}{3}} {\left(5 \, x^{7} + 2 \, x^{4} - 2\right)}}{{\left(2 \, x^{7} + 2 \, x^{4} + x^{2} + 2\right)}^{2}}\,{d x}"," ",0,"integrate((x^8 + x^5 - x^3 + x)^(1/3)*(5*x^7 + 2*x^4 - 2)/(2*x^7 + 2*x^4 + x^2 + 2)^2, x)","F",0
2667,0,0,0,0.000000," ","integrate((a^5*x^5-b^5)/(a^2*x^3+b^2*x)^(1/2)/(a^5*x^5+b^5),x, algorithm=""maxima"")","\int \frac{a^{5} x^{5} - b^{5}}{{\left(a^{5} x^{5} + b^{5}\right)} \sqrt{a^{2} x^{3} + b^{2} x}}\,{d x}"," ",0,"integrate((a^5*x^5 - b^5)/((a^5*x^5 + b^5)*sqrt(a^2*x^3 + b^2*x)), x)","F",0
2668,0,0,0,0.000000," ","integrate((a^5*x^5+b^5)/(a^2*x^3+b^2*x)^(1/2)/(a^5*x^5-b^5),x, algorithm=""maxima"")","\int \frac{a^{5} x^{5} + b^{5}}{{\left(a^{5} x^{5} - b^{5}\right)} \sqrt{a^{2} x^{3} + b^{2} x}}\,{d x}"," ",0,"integrate((a^5*x^5 + b^5)/((a^5*x^5 - b^5)*sqrt(a^2*x^3 + b^2*x)), x)","F",0
2669,0,0,0,0.000000," ","integrate((2*x^8-a*x^4-2*b)/x^4/(a*x^4-b)^(1/4)/(2*a*x^4-b),x, algorithm=""maxima"")","\int \frac{2 \, x^{8} - a x^{4} - 2 \, b}{{\left(2 \, a x^{4} - b\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}} x^{4}}\,{d x}"," ",0,"integrate((2*x^8 - a*x^4 - 2*b)/((2*a*x^4 - b)*(a*x^4 - b)^(1/4)*x^4), x)","F",0
2670,0,0,0,0.000000," ","integrate((x^16-1)/(x^4-1)^(1/2)/(x^16+x^8+1),x, algorithm=""maxima"")","\int \frac{x^{16} - 1}{{\left(x^{16} + x^{8} + 1\right)} \sqrt{x^{4} - 1}}\,{d x}"," ",0,"integrate((x^16 - 1)/((x^16 + x^8 + 1)*sqrt(x^4 - 1)), x)","F",0
2671,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{2 \, a b x - 3 \, a x^{2} + x^{3}}{\left({\left(a - x\right)} {\left(b - x\right)} x^{2}\right)^{\frac{1}{3}} {\left(a^{2} d - 2 \, a d x + {\left(b + d\right)} x^{2} - x^{3}\right)}}\,{d x}"," ",0,"-integrate((2*a*b*x - 3*a*x^2 + x^3)/(((a - x)*(b - x)*x^2)^(1/3)*(a^2*d - 2*a*d*x + (b + d)*x^2 - x^3)), x)","F",0
2672,0,0,0,0.000000," ","integrate((c*x^2+d)*(a*x^4+b*x^3)^(1/4)/x^2/(c*x^2-d),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} {\left(c x^{2} + d\right)}}{{\left(c x^{2} - d\right)} x^{2}}\,{d x}"," ",0,"integrate((a*x^4 + b*x^3)^(1/4)*(c*x^2 + d)/((c*x^2 - d)*x^2), x)","F",0
2673,0,0,0,0.000000," ","integrate((c*x^2+d)*(a*x^4+b*x^3)^(1/4)/x^2/(c*x^2-d),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} {\left(c x^{2} + d\right)}}{{\left(c x^{2} - d\right)} x^{2}}\,{d x}"," ",0,"integrate((a*x^4 + b*x^3)^(1/4)*(c*x^2 + d)/((c*x^2 - d)*x^2), x)","F",0
2674,0,0,0,0.000000," ","integrate((x^4-1)/(x^4+1)/(a*x^4+b*x^3+c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{4} - 1}{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left(x^{4} + 1\right)}}\,{d x}"," ",0,"integrate((x^4 - 1)/(sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*(x^4 + 1)), x)","F",0
2675,0,0,0,0.000000," ","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=""maxima"")","\int \frac{k^{2} x^{3} + {\left(k^{2} - 2\right)} x}{{\left(d x^{4} + {\left(k^{2} - 2 \, d\right)} x^{2} + d - 1\right)} \left({\left(k^{2} x^{2} - 1\right)} {\left(x^{2} - 1\right)}\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((k^2*x^3 + (k^2 - 2)*x)/((d*x^4 + (k^2 - 2*d)*x^2 + d - 1)*((k^2*x^2 - 1)*(x^2 - 1))^(1/3)), x)","F",0
2676,0,0,0,0.000000," ","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=""maxima"")","\int \frac{k^{4} x^{5} - 2 \, k^{4} x^{3} + {\left(2 \, k^{2} - 1\right)} x}{{\left(k^{4} x^{4} - {\left(2 \, k^{2} - d\right)} x^{2} - d + 1\right)} \left({\left(k^{2} x^{2} - 1\right)} {\left(x^{2} - 1\right)}\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((k^4*x^5 - 2*k^4*x^3 + (2*k^2 - 1)*x)/((k^4*x^4 - (2*k^2 - d)*x^2 - d + 1)*((k^2*x^2 - 1)*(x^2 - 1))^(2/3)), x)","F",0
2677,0,0,0,0.000000," ","integrate((x^6-2)*(x^6-x^4+1)/(x^6+1)^(1/4)/(x^12+x^8+2*x^6+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} - x^{4} + 1\right)} {\left(x^{6} - 2\right)}}{{\left(x^{12} + x^{8} + 2 \, x^{6} + 1\right)} {\left(x^{6} + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((x^6 - x^4 + 1)*(x^6 - 2)/((x^12 + x^8 + 2*x^6 + 1)*(x^6 + 1)^(1/4)), x)","F",0
2678,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{p^{2} x^{6} + 2 \, p q x^{3} - 2 \, p q x^{2} + q^{2}} {\left(a p x^{3} + a q + b x\right)} {\left(2 \, p x^{3} - q\right)}}{{\left(c p x^{3} + c q + d x\right)} x^{3}}\,{d x}"," ",0,"integrate(sqrt(p^2*x^6 + 2*p*q*x^3 - 2*p*q*x^2 + q^2)*(a*p*x^3 + a*q + b*x)*(2*p*x^3 - q)/((c*p*x^3 + c*q + d*x)*x^3), x)","F",0
2679,0,0,0,0.000000," ","integrate((x^2-1)/(x^2+1)/(x^2+(x^4+1)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} - 1}{\sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(x^{2} + 1\right)}}\,{d x}"," ",0,"integrate((x^2 - 1)/(sqrt(x^2 + sqrt(x^4 + 1))*(x^2 + 1)), x)","F",0
2680,0,0,0,0.000000," ","integrate((x^2-1)*(x^2+(x^4+1)^(1/2))^(1/2)/(x^2+1),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(x^{2} - 1\right)}}{x^{2} + 1}\,{d x}"," ",0,"integrate(sqrt(x^2 + sqrt(x^4 + 1))*(x^2 - 1)/(x^2 + 1), x)","F",0
2681,0,0,0,0.000000," ","integrate((x^2+1)^(1/2)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{x^{2} + 1} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\,{d x}"," ",0,"integrate(sqrt(x^2 + 1)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1), x)","F",0
2682,0,0,0,0.000000," ","integrate(x*(-a+x)/(x^2*(-a+x))^(2/3)/(a^2*d-2*a*d*x+(-1+d)*x^2),x, algorithm=""maxima"")","-\int \frac{{\left(a - x\right)} x}{{\left(a^{2} d - 2 \, a d x + {\left(d - 1\right)} x^{2}\right)} \left(-{\left(a - x\right)} x^{2}\right)^{\frac{2}{3}}}\,{d x}"," ",0,"-integrate((a - x)*x/((a^2*d - 2*a*d*x + (d - 1)*x^2)*(-(a - x)*x^2)^(2/3)), x)","F",0
2683,0,0,0,0.000000," ","integrate(x/(x^2*(-a+x))^(1/3)/(a^2*d-2*a*d*x+(-1+d)*x^2),x, algorithm=""maxima"")","\int \frac{x}{{\left(a^{2} d - 2 \, a d x + {\left(d - 1\right)} x^{2}\right)} \left(-{\left(a - x\right)} x^{2}\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(x/((a^2*d - 2*a*d*x + (d - 1)*x^2)*(-(a - x)*x^2)^(1/3)), x)","F",0
2684,0,0,0,0.000000," ","integrate((-a*x+x^2)/(x^2*(-a+x))^(2/3)/(a^2*d-2*a*d*x+(-1+d)*x^2),x, algorithm=""maxima"")","-\int \frac{a x - x^{2}}{{\left(a^{2} d - 2 \, a d x + {\left(d - 1\right)} x^{2}\right)} \left(-{\left(a - x\right)} x^{2}\right)^{\frac{2}{3}}}\,{d x}"," ",0,"-integrate((a*x - x^2)/((a^2*d - 2*a*d*x + (d - 1)*x^2)*(-(a - x)*x^2)^(2/3)), x)","F",0
2685,0,0,0,0.000000," ","integrate((-1+x)/(1+x)/(x^3-1)^(1/3),x, algorithm=""maxima"")","\int \frac{x - 1}{{\left(x^{3} - 1\right)}^{\frac{1}{3}} {\left(x + 1\right)}}\,{d x}"," ",0,"integrate((x - 1)/((x^3 - 1)^(1/3)*(x + 1)), x)","F",0
2686,0,0,0,0.000000," ","integrate((x^2+1)*(x^3-x^2)^(1/3)/(x^2-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} - x^{2}\right)}^{\frac{1}{3}} {\left(x^{2} + 1\right)}}{x^{2} - 1}\,{d x}"," ",0,"integrate((x^3 - x^2)^(1/3)*(x^2 + 1)/(x^2 - 1), x)","F",0
2687,0,0,0,0.000000," ","integrate((a*x^4+b)/(x^4-a*x^2-b)/(a*x^4-b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{4} + b}{{\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} - a x^{2} - b\right)}}\,{d x}"," ",0,"integrate((a*x^4 + b)/((a*x^4 - b*x^2)^(1/4)*(x^4 - a*x^2 - b)), x)","F",0
2688,0,0,0,0.000000," ","integrate((a*x^4+b)/(x^4-a*x^2-b)/(a*x^4-b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{a x^{4} + b}{{\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} - a x^{2} - b\right)}}\,{d x}"," ",0,"integrate((a*x^4 + b)/((a*x^4 - b*x^2)^(1/4)*(x^4 - a*x^2 - b)), x)","F",0
2689,0,0,0,0.000000," ","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=""maxima"")","\int \frac{k^{2} x^{3} - {\left(2 \, k^{2} - 1\right)} x}{{\left(k^{4} x^{4} - {\left(2 \, k^{2} - d\right)} x^{2} - d + 1\right)} \left({\left(k^{2} x^{2} - 1\right)} {\left(x^{2} - 1\right)}\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((k^2*x^3 - (2*k^2 - 1)*x)/((k^4*x^4 - (2*k^2 - d)*x^2 - d + 1)*((k^2*x^2 - 1)*(x^2 - 1))^(1/3)), x)","F",0
2690,0,0,0,0.000000," ","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=""maxima"")","\int \frac{k^{2} x^{5} - 2 \, x^{3} - {\left(k^{2} - 2\right)} x}{{\left(d x^{4} + {\left(k^{2} - 2 \, d\right)} x^{2} + d - 1\right)} \left({\left(k^{2} x^{2} - 1\right)} {\left(x^{2} - 1\right)}\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((k^2*x^5 - 2*x^3 - (k^2 - 2)*x)/((d*x^4 + (k^2 - 2*d)*x^2 + d - 1)*((k^2*x^2 - 1)*(x^2 - 1))^(2/3)), x)","F",0
2691,0,0,0,0.000000," ","integrate(1/x^4/(b+(a*x^2+b^2)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b + \sqrt{a x^{2} + b^{2}}} x^{4}}\,{d x}"," ",0,"integrate(1/(sqrt(b + sqrt(a*x^2 + b^2))*x^4), x)","F",0
2692,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a - 5 \, b\right)} a + {\left(3 \, a + 5 \, b\right)} x - 4 \, x^{2}}{{\left(a^{5} + 10 \, a^{3} x^{2} - 10 \, a^{2} x^{3} + 5 \, a x^{4} - x^{5} - b d - {\left(5 \, a^{4} - d\right)} x\right)} \left({\left(a - x\right)} {\left(b - x\right)}\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(((a - 5*b)*a + (3*a + 5*b)*x - 4*x^2)/((a^5 + 10*a^3*x^2 - 10*a^2*x^3 + 5*a*x^4 - x^5 - b*d - (5*a^4 - d)*x)*((a - x)*(b - x))^(1/3)), x)","F",0
2693,0,0,0,0.000000," ","integrate(x^6*(x^4-x)^(1/2)/(a*x^6+b),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{4} - x} x^{6}}{a x^{6} + b}\,{d x}"," ",0,"integrate(sqrt(x^4 - x)*x^6/(a*x^6 + b), x)","F",0
2694,0,0,0,0.000000," ","integrate((a^6*x^6+b^6)/(a^2*x^3-b^2*x)^(1/2)/(a^6*x^6-b^6),x, algorithm=""maxima"")","\int \frac{a^{6} x^{6} + b^{6}}{{\left(a^{6} x^{6} - b^{6}\right)} \sqrt{a^{2} x^{3} - b^{2} x}}\,{d x}"," ",0,"integrate((a^6*x^6 + b^6)/((a^6*x^6 - b^6)*sqrt(a^2*x^3 - b^2*x)), x)","F",0
2695,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{a^{2} b - 2 \, a^{2} x + {\left(2 \, a - b\right)} x^{2}}{\left({\left(a - x\right)} {\left(b - x\right)} x\right)^{\frac{2}{3}} {\left({\left(d - 1\right)} x^{2} - a^{2} - {\left(b d - 2 \, a\right)} x\right)}}\,{d x}"," ",0,"-integrate((a^2*b - 2*a^2*x + (2*a - b)*x^2)/(((a - x)*(b - x)*x)^(2/3)*((d - 1)*x^2 - a^2 - (b*d - 2*a)*x)), x)","F",0
2696,0,0,0,0.000000," ","integrate((a^6*x^6+b^6)/(a^2*x^3+b^2*x)^(1/2)/(a^6*x^6-b^6),x, algorithm=""maxima"")","\int \frac{a^{6} x^{6} + b^{6}}{{\left(a^{6} x^{6} - b^{6}\right)} \sqrt{a^{2} x^{3} + b^{2} x}}\,{d x}"," ",0,"integrate((a^6*x^6 + b^6)/((a^6*x^6 - b^6)*sqrt(a^2*x^3 + b^2*x)), x)","F",0
2697,0,0,0,0.000000," ","integrate((5*x^7+2)*(x^8-x^3-x)^(1/3)/(x^7-1)/(x^7+x^2-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{8} - x^{3} - x\right)}^{\frac{1}{3}} {\left(5 \, x^{7} + 2\right)}}{{\left(x^{7} + x^{2} - 1\right)} {\left(x^{7} - 1\right)}}\,{d x}"," ",0,"integrate((x^8 - x^3 - x)^(1/3)*(5*x^7 + 2)/((x^7 + x^2 - 1)*(x^7 - 1)), x)","F",0
2698,0,0,0,0.000000," ","integrate(x^6*(x^3-4)/(x^3-1)^(3/4)/(x^8+x^6-2*x^3+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} - 4\right)} x^{6}}{{\left(x^{8} + x^{6} - 2 \, x^{3} + 1\right)} {\left(x^{3} - 1\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((x^3 - 4)*x^6/((x^8 + x^6 - 2*x^3 + 1)*(x^3 - 1)^(3/4)), x)","F",0
2699,0,0,0,0.000000," ","integrate(x^6*(x^5+4)/(x^5-1)^(3/4)/(x^10+x^8-2*x^5+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{5} + 4\right)} x^{6}}{{\left(x^{10} + x^{8} - 2 \, x^{5} + 1\right)} {\left(x^{5} - 1\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((x^5 + 4)*x^6/((x^10 + x^8 - 2*x^5 + 1)*(x^5 - 1)^(3/4)), x)","F",0
2700,0,0,0,0.000000," ","integrate((a*x+b)^(1/2)*(f*x^2-g)/(d*x^2+e)/(c+(a*x+b)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(f x^{2} - g\right)} \sqrt{a x + b}}{{\left(d x^{2} + e\right)} \sqrt{c + \sqrt{a x + b}}}\,{d x}"," ",0,"integrate((f*x^2 - g)*sqrt(a*x + b)/((d*x^2 + e)*sqrt(c + sqrt(a*x + b))), x)","F",0
2701,0,0,0,0.000000," ","integrate((x^4+1)^(1/2)*(x^2+(x^4+1)^(1/2))^(1/2)/(x^2+1),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{4} + 1} \sqrt{x^{2} + \sqrt{x^{4} + 1}}}{x^{2} + 1}\,{d x}"," ",0,"integrate(sqrt(x^4 + 1)*sqrt(x^2 + sqrt(x^4 + 1))/(x^2 + 1), x)","F",0
2702,0,0,0,0.000000," ","integrate(x/(x^2-(1+x)^(1/2)*(1+(1+x)^(1/2))^(1/2)),x, algorithm=""maxima"")","\int \frac{x}{x^{2} - \sqrt{x + 1} \sqrt{\sqrt{x + 1} + 1}}\,{d x}"," ",0,"integrate(x/(x^2 - sqrt(x + 1)*sqrt(sqrt(x + 1) + 1)), x)","F",0
2703,0,0,0,0.000000," ","integrate(x/(x^2-(1+x)^(1/2)*(1+(1+x)^(1/2))^(1/2)),x, algorithm=""maxima"")","\int \frac{x}{x^{2} - \sqrt{x + 1} \sqrt{\sqrt{x + 1} + 1}}\,{d x}"," ",0,"integrate(x/(x^2 - sqrt(x + 1)*sqrt(sqrt(x + 1) + 1)), x)","F",0
2704,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{a x + b} \sqrt{\sqrt{a x + b} + 1}}{x^{2} \sqrt{\sqrt{\sqrt{a x + b} + 1} + 1}}\,{d x}"," ",0,"integrate(sqrt(a*x + b)*sqrt(sqrt(a*x + b) + 1)/(x^2*sqrt(sqrt(sqrt(a*x + b) + 1) + 1)), x)","F",0
2705,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{a x + b} \sqrt{\sqrt{a x + b} + 1}}{x^{2} \sqrt{\sqrt{\sqrt{a x + b} + 1} + 1}}\,{d x}"," ",0,"integrate(sqrt(a*x + b)*sqrt(sqrt(a*x + b) + 1)/(x^2*sqrt(sqrt(sqrt(a*x + b) + 1) + 1)), x)","F",0
2706,0,0,0,0.000000," ","integrate(x^4*(a*x^4+b*x^2)^(1/4)/(x^4+a*x^2+b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}} x^{4}}{x^{4} + a x^{2} + b}\,{d x}"," ",0,"integrate((a*x^4 + b*x^2)^(1/4)*x^4/(x^4 + a*x^2 + b), x)","F",0
2707,0,0,0,0.000000," ","integrate(x^4*(a*x^4+b*x^2)^(1/4)/(x^4+a*x^2+b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}} x^{4}}{x^{4} + a x^{2} + b}\,{d x}"," ",0,"integrate((a*x^4 + b*x^2)^(1/4)*x^4/(x^4 + a*x^2 + b), x)","F",0
2708,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a p x^{4} + 4 \, b p x^{3} - 3 \, a q\right)} {\left(a x + b\right)}}{{\left(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\right)} {\left(p x^{4} + q\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((a*p*x^4 + 4*b*p*x^3 - 3*a*q)*(a*x + b)/((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)*(p*x^4 + q)^(2/3)), x)","F",0
2709,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a^{2} x^{6} + c x^{3} + 2 \, b^{2}\right)} \sqrt{a^{2} x^{3} + b^{2}}}{{\left(a^{2} x^{6} + b^{2}\right)} x^{7}}\,{d x}"," ",0,"integrate((a^2*x^6 + c*x^3 + 2*b^2)*sqrt(a^2*x^3 + b^2)/((a^2*x^6 + b^2)*x^7), x)","F",0
2710,0,0,0,0.000000," ","integrate((x^4-2)*(x^4+2)^(1/2)/(x^4+x^2+2)/(x^4+2*x^2+2),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{4} + 2} {\left(x^{4} - 2\right)}}{{\left(x^{4} + 2 \, x^{2} + 2\right)} {\left(x^{4} + x^{2} + 2\right)}}\,{d x}"," ",0,"integrate(sqrt(x^4 + 2)*(x^4 - 2)/((x^4 + 2*x^2 + 2)*(x^4 + x^2 + 2)), x)","F",0
2711,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{8} - 2 \, x^{4} + 2\right)}^{\frac{1}{4}} {\left(x^{8} - 2\right)} x^{2}}{{\left(2 \, x^{8} - x^{4} + 4\right)} {\left(x^{8} + 2\right)}}\,{d x}"," ",0,"integrate((x^8 - 2*x^4 + 2)^(1/4)*(x^8 - 2)*x^2/((2*x^8 - x^4 + 4)*(x^8 + 2)), x)","F",0
2712,0,0,0,0.000000," ","integrate((x^2-1)/(x^2+1)/(x+(1+x)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} - 1}{{\left(x^{2} + 1\right)} \sqrt{x + \sqrt{x + 1}}}\,{d x}"," ",0,"integrate((x^2 - 1)/((x^2 + 1)*sqrt(x + sqrt(x + 1))), x)","F",0
2713,0,0,0,0.000000," ","integrate((x^2-1)/(x^2+1)/(x+(1+x)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} - 1}{{\left(x^{2} + 1\right)} \sqrt{x + \sqrt{x + 1}}}\,{d x}"," ",0,"integrate((x^2 - 1)/((x^2 + 1)*sqrt(x + sqrt(x + 1))), x)","F",0
2714,0,0,0,0.000000," ","integrate(1/(a^2*x^2-b)^(1/2)/(a*x^2+x*(a^2*x^2-b)^(1/2))^(1/3),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{a^{2} x^{2} - b} {\left(a x^{2} + \sqrt{a^{2} x^{2} - b} x\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/(sqrt(a^2*x^2 - b)*(a*x^2 + sqrt(a^2*x^2 - b)*x)^(1/3)), x)","F",0
2715,0,0,0,0.000000," ","integrate((a*x-b)^(1/2)/(1+(a*x+(a*x-b)^(1/2))^(1/2)),x, algorithm=""maxima"")","\int \frac{\sqrt{a x - b}}{\sqrt{a x + \sqrt{a x - b}} + 1}\,{d x}"," ",0,"integrate(sqrt(a*x - b)/(sqrt(a*x + sqrt(a*x - b)) + 1), x)","F",0
2716,1,107,0,0.518280," ","integrate(x*(1+2^(1/2)+2^(1/2)*x+x^2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{4} \, \sqrt{2} {\left(\sqrt{2} + 1\right)} \operatorname{arsinh}\left(\frac{2 \, x + \sqrt{2}}{\sqrt{4 \, \sqrt{2} + 2}}\right) - \frac{1}{4} \, \sqrt{2} \sqrt{x^{2} + \sqrt{2} x + \sqrt{2} + 1} x + \frac{1}{3} \, {\left(x^{2} + \sqrt{2} x + \sqrt{2} + 1\right)}^{\frac{3}{2}} + \frac{1}{8} \, \sqrt{2} \operatorname{arsinh}\left(\frac{2 \, x + \sqrt{2}}{\sqrt{4 \, \sqrt{2} + 2}}\right) - \frac{1}{4} \, \sqrt{x^{2} + \sqrt{2} x + \sqrt{2} + 1}"," ",0,"-1/4*sqrt(2)*(sqrt(2) + 1)*arcsinh((2*x + sqrt(2))/sqrt(4*sqrt(2) + 2)) - 1/4*sqrt(2)*sqrt(x^2 + sqrt(2)*x + sqrt(2) + 1)*x + 1/3*(x^2 + sqrt(2)*x + sqrt(2) + 1)^(3/2) + 1/8*sqrt(2)*arcsinh((2*x + sqrt(2))/sqrt(4*sqrt(2) + 2)) - 1/4*sqrt(x^2 + sqrt(2)*x + sqrt(2) + 1)","A",0
2717,0,0,0,0.000000," ","integrate((-a*x+x^2)/(x^2*(-a+x))^(2/3)/(a^2-2*a*x+(1-d)*x^2),x, algorithm=""maxima"")","\int \frac{a x - x^{2}}{\left(-{\left(a - x\right)} x^{2}\right)^{\frac{2}{3}} {\left({\left(d - 1\right)} x^{2} - a^{2} + 2 \, a x\right)}}\,{d x}"," ",0,"integrate((a*x - x^2)/((-(a - x)*x^2)^(2/3)*((d - 1)*x^2 - a^2 + 2*a*x)), x)","F",0
2718,0,0,0,0.000000," ","integrate(x/(x^2*(-a+x))^(1/3)/(-a^2+2*a*x+(-1+d)*x^2),x, algorithm=""maxima"")","\int \frac{x}{\left(-{\left(a - x\right)} x^{2}\right)^{\frac{1}{3}} {\left({\left(d - 1\right)} x^{2} - a^{2} + 2 \, a x\right)}}\,{d x}"," ",0,"integrate(x/((-(a - x)*x^2)^(1/3)*((d - 1)*x^2 - a^2 + 2*a*x)), x)","F",0
2719,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{a b x^{2} - x^{4}}{{\left(a^{2} b^{2} - 2 \, {\left(a + b\right)} a b x - 2 \, {\left(a + b\right)} x^{3} + x^{4} + {\left(a^{2} + 4 \, a b + b^{2} - d\right)} x^{2}\right)} \left({\left(a - x\right)} {\left(b - x\right)} x^{2}\right)^{\frac{2}{3}}}\,{d x}"," ",0,"-integrate((a*b*x^2 - x^4)/((a^2*b^2 - 2*(a + b)*a*b*x - 2*(a + b)*x^3 + x^4 + (a^2 + 4*a*b + b^2 - d)*x^2)*((a - x)*(b - x)*x^2)^(2/3)), x)","F",0
2720,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\left(\frac{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}}\right)^{\frac{1}{4}}}{x}\,{d x}"," ",0,"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)","F",0
2721,0,0,0,0.000000," ","integrate((8*x^2-8*x+2)^(1/3)/(3+x),x, algorithm=""maxima"")","\int \frac{{\left(8 \, x^{2} - 8 \, x + 2\right)}^{\frac{1}{3}}}{x + 3}\,{d x}"," ",0,"integrate((8*x^2 - 8*x + 2)^(1/3)/(x + 3), x)","F",0
2722,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(b p x^{2} - a q\right)} {\left(a x + b\right)}}{{\left(3 \, a^{2} b c x^{2} + 3 \, a b^{2} c x + b^{3} c + {\left(a^{3} c + d p\right)} x^{3} + d q\right)} {\left(p x^{3} + q\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((b*p*x^2 - a*q)*(a*x + b)/((3*a^2*b*c*x^2 + 3*a*b^2*c*x + b^3*c + (a^3*c + d*p)*x^3 + d*q)*(p*x^3 + q)^(2/3)), x)","F",0
2723,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left({\left(a - 2 \, b\right)} a + 2 \, b x - x^{2}\right)} {\left(b - x\right)}}{{\left(a^{4} - 4 \, a x^{3} + x^{4} - b^{2} d + {\left(6 \, a^{2} - d\right)} x^{2} - 2 \, {\left(2 \, a^{3} - b d\right)} x\right)} \left({\left(a - x\right)} {\left(b - x\right)}\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(((a - 2*b)*a + 2*b*x - x^2)*(b - x)/((a^4 - 4*a*x^3 + x^4 - b^2*d + (6*a^2 - d)*x^2 - 2*(2*a^3 - b*d)*x)*((a - x)*(b - x))^(2/3)), x)","F",0
2724,0,0,0,0.000000," ","integrate((x^5+1)^(1/2)*(x^5+2)/x^6/(a*x^10-x^5-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{5} + 2\right)} \sqrt{x^{5} + 1}}{{\left(a x^{10} - x^{5} - 1\right)} x^{6}}\,{d x}"," ",0,"integrate((x^5 + 2)*sqrt(x^5 + 1)/((a*x^10 - x^5 - 1)*x^6), x)","F",0
2725,0,0,0,0.000000," ","integrate((x^5-2)*(x^5-1)^(1/2)/x^6/(a*x^10-x^5+1),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{5} - 1} {\left(x^{5} - 2\right)}}{{\left(a x^{10} - x^{5} + 1\right)} x^{6}}\,{d x}"," ",0,"integrate(sqrt(x^5 - 1)*(x^5 - 2)/((a*x^10 - x^5 + 1)*x^6), x)","F",0
2726,0,0,0,0.000000," ","integrate(1/(x^2-(1+x)^(1/2)*(1+(1+x)^(1/2))^(1/2)),x, algorithm=""maxima"")","\int \frac{1}{x^{2} - \sqrt{x + 1} \sqrt{\sqrt{x + 1} + 1}}\,{d x}"," ",0,"integrate(1/(x^2 - sqrt(x + 1)*sqrt(sqrt(x + 1) + 1)), x)","F",0
2727,0,0,0,0.000000," ","integrate(1/(x^2-(1+x)^(1/2)*(1+(1+x)^(1/2))^(1/2)),x, algorithm=""maxima"")","\int \frac{1}{x^{2} - \sqrt{x + 1} \sqrt{\sqrt{x + 1} + 1}}\,{d x}"," ",0,"integrate(1/(x^2 - sqrt(x + 1)*sqrt(sqrt(x + 1) + 1)), x)","F",0
2728,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(_{C_{3}} x^{2} - _{C_{4}}\right)} x}{{\left(_{C_{3}}^{2} x^{4} + 2 \, _{C_{3}} _{C_{4}} x^{2} + _{C_{4}}^{2} - x^{2}\right)} {\left(3 \, _{C_{3}} x^{2} + 3 \, _{C_{4}} + x\right)} \sqrt{\frac{_{C_{3}} x^{2} + _{C_{0}} x + _{C_{4}}}{_{C_{3}} x^{2} + _{C_{1}} x + _{C_{4}}}}}\,{d x}"," ",0,"integrate((_C3*x^2 - _C4)*x/((_C3^2*x^4 + 2*_C3*_C4*x^2 + _C4^2 - x^2)*(3*_C3*x^2 + 3*_C4 + x)*sqrt((_C3*x^2 + _C0*x + _C4)/(_C3*x^2 + _C1*x + _C4))), x)","F",0
2729,0,0,0,0.000000," ","integrate(1/(a*x^4-b)^2/(a*x^4-b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{4} - b\right)}^{2}}\,{d x}"," ",0,"integrate(1/((a*x^4 - b*x^2)^(1/4)*(a*x^4 - b)^2), x)","F",0
2730,0,0,0,0.000000," ","integrate(1/(a*x^4-b)^2/(a*x^4-b*x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{4} - b\right)}^{2}}\,{d x}"," ",0,"integrate(1/((a*x^4 - b*x^2)^(1/4)*(a*x^4 - b)^2), x)","F",0
2731,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{p^{2} x^{6} - 2 \, p q x^{4} + 2 \, p q x^{3} + q^{2}} {\left(a p x^{3} + b x^{2} + a q\right)} {\left(p x^{3} - 2 \, q\right)}}{{\left(c p x^{3} + d x^{2} + c q\right)} x^{5}}\,{d x}"," ",0,"integrate(sqrt(p^2*x^6 - 2*p*q*x^4 + 2*p*q*x^3 + q^2)*(a*p*x^3 + b*x^2 + a*q)*(p*x^3 - 2*q)/((c*p*x^3 + d*x^2 + c*q)*x^5), x)","F",0
2732,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left({\left(k^{2} - 2 \, k\right)} x^{2} + 2 \, x - 1\right)} {\left(x - 1\right)} x}{{\left({\left(k^{4} - b\right)} x^{4} - 2 \, {\left(2 \, k^{3} - b\right)} x^{3} + {\left(6 \, k^{2} - b\right)} x^{2} - 4 \, k x + 1\right)} \left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{2}{3}}}\,{d x}"," ",0,"-integrate(((k^2 - 2*k)*x^2 + 2*x - 1)*(x - 1)*x/(((k^4 - b)*x^4 - 2*(2*k^3 - b)*x^3 + (6*k^2 - b)*x^2 - 4*k*x + 1)*((k*x - 1)*(x - 1)*x)^(2/3)), x)","F",0
2733,0,0,0,0.000000," ","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^8+a*(p*x^3+q)^4)/x^13,x, algorithm=""maxima"")","\int \frac{{\left(b x^{8} + {\left(p x^{3} + q\right)}^{4} a\right)} \sqrt{p^{2} x^{6} - 2 \, p q x^{4} + 2 \, p q x^{3} + q^{2}} {\left(p x^{3} - 2 \, q\right)}}{x^{13}}\,{d x}"," ",0,"integrate((b*x^8 + (p*x^3 + q)^4*a)*sqrt(p^2*x^6 - 2*p*q*x^4 + 2*p*q*x^3 + q^2)*(p*x^3 - 2*q)/x^13, x)","F",0
2734,0,0,0,0.000000," ","integrate(x^2/(x^2-(1+x)^(1/2)*(1+(1+x)^(1/2))^(1/2)),x, algorithm=""maxima"")","\int \frac{x^{2}}{x^{2} - \sqrt{x + 1} \sqrt{\sqrt{x + 1} + 1}}\,{d x}"," ",0,"integrate(x^2/(x^2 - sqrt(x + 1)*sqrt(sqrt(x + 1) + 1)), x)","F",0
2735,0,0,0,0.000000," ","integrate(x^2/(x^2-(1+x)^(1/2)*(1+(1+x)^(1/2))^(1/2)),x, algorithm=""maxima"")","\int \frac{x^{2}}{x^{2} - \sqrt{x + 1} \sqrt{\sqrt{x + 1} + 1}}\,{d x}"," ",0,"integrate(x^2/(x^2 - sqrt(x + 1)*sqrt(sqrt(x + 1) + 1)), x)","F",0
2736,0,0,0,0.000000," ","integrate(1/x/(x^4-4*x^3+6*x^2-4*x+1)^(1/5),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1\right)}^{\frac{1}{5}} x}\,{d x}"," ",0,"integrate(1/((x^4 - 4*x^3 + 6*x^2 - 4*x + 1)^(1/5)*x), x)","F",0
2737,0,0,0,0.000000," ","integrate((x^2-x+1)/(x^2-1)/(x^4+x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{x^{2} - x + 1}{{\left(x^{4} + x^{2}\right)}^{\frac{1}{3}} {\left(x^{2} - 1\right)}}\,{d x}"," ",0,"integrate((x^2 - x + 1)/((x^4 + x^2)^(1/3)*(x^2 - 1)), x)","F",0
2738,0,0,0,0.000000," ","integrate((x^2+x+1)/(x^2-1)/(x^4+x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{x^{2} + x + 1}{{\left(x^{4} + x^{2}\right)}^{\frac{1}{3}} {\left(x^{2} - 1\right)}}\,{d x}"," ",0,"integrate((x^2 + x + 1)/((x^4 + x^2)^(1/3)*(x^2 - 1)), x)","F",0
2739,0,0,0,0.000000," ","integrate((x^2-1)*(x^4+x^3-x^2-x+1)^(1/2)/x^2/(x^2+1),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(x^{2} - 1\right)}}{{\left(x^{2} + 1\right)} x^{2}}\,{d x}"," ",0,"integrate(sqrt(x^4 + x^3 - x^2 - x + 1)*(x^2 - 1)/((x^2 + 1)*x^2), x)","F",0
2740,0,0,0,0.000000," ","integrate((x^2-1)*(x^4+x^3-x^2-x+1)^(1/2)/x^2/(x^2+1),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{4} + x^{3} - x^{2} - x + 1} {\left(x^{2} - 1\right)}}{{\left(x^{2} + 1\right)} x^{2}}\,{d x}"," ",0,"integrate(sqrt(x^4 + x^3 - x^2 - x + 1)*(x^2 - 1)/((x^2 + 1)*x^2), x)","F",0
2741,0,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(x^3+4)/x^6/(x^6-x^3-2),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} + 4\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{{\left(x^{6} - x^{3} - 2\right)} x^{6}}\,{d x}"," ",0,"integrate((x^3 + 4)*(x^3 - 1)^(2/3)/((x^6 - x^3 - 2)*x^6), x)","F",0
2742,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}}}{\sqrt{a^{2} x^{2} - b} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3)/(sqrt(a^2*x^2 - b)*(a*x + sqrt(a^2*x^2 - b))^(1/4)), x)","F",0
2743,0,0,0,0.000000," ","integrate((x^2+x)*(x^4+x^3)^(1/4)/(x^2+x-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + x^{3}\right)}^{\frac{1}{4}} {\left(x^{2} + x\right)}}{x^{2} + x - 1}\,{d x}"," ",0,"integrate((x^4 + x^3)^(1/4)*(x^2 + x)/(x^2 + x - 1), x)","F",0
2744,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{4} + b\right)}^{2}}{{\left(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}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"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)","F",0
2745,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{p^{2} x^{6} + 2 \, p q x^{3} - 2 \, p q x^{2} + q^{2}} {\left({\left(p x^{3} + q\right)}^{4} a + b x^{4}\right)} {\left(2 \, p x^{3} - q\right)}}{x^{7}}\,{d x}"," ",0,"integrate(sqrt(p^2*x^6 + 2*p*q*x^3 - 2*p*q*x^2 + q^2)*((p*x^3 + q)^4*a + b*x^4)*(2*p*x^3 - q)/x^7, x)","F",0
2746,0,0,0,0.000000," ","integrate((1-(x-(x^2+1)^(1/2))^(1/2))/(x^4-2*x^2*(x^2+1)^(1/2)),x, algorithm=""maxima"")","-\frac{1}{6 \, x^{3}} - \int \frac{{\left(x^{2} - 2 \, \sqrt{x^{2} + 1}\right)} \sqrt{x - \sqrt{x^{2} + 1}}}{x^{6} - 4 \, \sqrt{x^{2} + 1} x^{4} + 4 \, x^{4} + 4 \, x^{2}}\,{d x} - \int -\frac{x^{4} - 4 \, x^{2} - 4}{2 \, {\left(x^{8} - 4 \, \sqrt{x^{2} + 1} x^{6} + 4 \, x^{6} + 4 \, x^{4}\right)}}\,{d x}"," ",0,"-1/6/x^3 - integrate((x^2 - 2*sqrt(x^2 + 1))*sqrt(x - sqrt(x^2 + 1))/(x^6 - 4*sqrt(x^2 + 1)*x^4 + 4*x^4 + 4*x^2), x) - integrate(-1/2*(x^4 - 4*x^2 - 4)/(x^8 - 4*sqrt(x^2 + 1)*x^6 + 4*x^6 + 4*x^4), x)","F",0
2747,0,0,0,0.000000," ","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=""maxima"")","\int \frac{1}{\sqrt{a^{2} x^{2} - b} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{6}}}\,{d x}"," ",0,"integrate(1/(sqrt(a^2*x^2 - b)*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/6)), x)","F",0
2748,0,0,0,0.000000," ","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=""maxima"")","\int \frac{k^{2} x^{3} - {\left(2 \, k^{2} - 1\right)} x}{{\left(d k^{4} x^{4} - {\left(2 \, d k^{2} - 1\right)} x^{2} + d - 1\right)} \left({\left(k^{2} x^{2} - 1\right)} {\left(x^{2} - 1\right)}\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((k^2*x^3 - (2*k^2 - 1)*x)/((d*k^4*x^4 - (2*d*k^2 - 1)*x^2 + d - 1)*((k^2*x^2 - 1)*(x^2 - 1))^(1/3)), x)","F",0
2749,0,0,0,0.000000," ","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=""maxima"")","\int \frac{k^{2} x^{5} - 2 \, x^{3} - {\left(k^{2} - 2\right)} x}{{\left(x^{4} + {\left(d k^{2} - 2\right)} x^{2} - d + 1\right)} \left({\left(k^{2} x^{2} - 1\right)} {\left(x^{2} - 1\right)}\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((k^2*x^5 - 2*x^3 - (k^2 - 2)*x)/((x^4 + (d*k^2 - 2)*x^2 - d + 1)*((k^2*x^2 - 1)*(x^2 - 1))^(2/3)), x)","F",0
2750,0,0,0,0.000000," ","integrate((x^4-1)*(x^4-x^2)^(1/4)/(x^4-x^2-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} - 1\right)}}{x^{4} - x^{2} - 1}\,{d x}"," ",0,"integrate((x^4 - x^2)^(1/4)*(x^4 - 1)/(x^4 - x^2 - 1), x)","F",0
2751,0,0,0,0.000000," ","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=""maxima"")","\int \frac{3 \, k x^{3} - {\left(k + 4\right)} x^{2} - {\left(2 \, k - 3\right)} x + 1}{{\left(b x^{5} - 5 \, b x^{4} + 10 \, b x^{3} - {\left(10 \, b + k\right)} x^{2} + {\left(5 \, b + 1\right)} x - b\right)} \left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((3*k*x^3 - (k + 4)*x^2 - (2*k - 3)*x + 1)/((b*x^5 - 5*b*x^4 + 10*b*x^3 - (10*b + k)*x^2 + (5*b + 1)*x - b)*((k*x - 1)*(x - 1)*x)^(1/3)), x)","F",0
2752,0,0,0,0.000000," ","integrate(x^3/(x^3-x^2)^(1/3)/(x^6-1),x, algorithm=""maxima"")","\int \frac{x^{3}}{{\left(x^{6} - 1\right)} {\left(x^{3} - x^{2}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(x^3/((x^6 - 1)*(x^3 - x^2)^(1/3)), x)","F",0
2753,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{\sqrt{x + \sqrt{x^{2} + 1}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{x^{2} - 1}\,{d x}"," ",0,"-integrate(sqrt(x + sqrt(x^2 + 1))*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/(x^2 - 1), x)","F",0
2754,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{\sqrt{x + \sqrt{x^{2} + 1}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{x^{2} - 1}\,{d x}"," ",0,"-integrate(sqrt(x + sqrt(x^2 + 1))*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/(x^2 - 1), x)","F",0
2755,0,0,0,0.000000," ","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=""maxima"")","\int \frac{1}{\sqrt{a^{2} x^{2} - b} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/(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)), x)","F",0
2756,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(a b - 2 \, b x + x^{2}\right)} {\left(b - x\right)}}{\left(-{\left(a - x\right)} {\left(b - x\right)}^{2} x\right)^{\frac{2}{3}} {\left(d x^{2} - {\left(a d + 1\right)} x + b\right)}}\,{d x}"," ",0,"-integrate((a*b - 2*b*x + x^2)*(b - x)/((-(a - x)*(b - x)^2*x)^(2/3)*(d*x^2 - (a*d + 1)*x + b)), x)","F",0
2757,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a^{3} - 3 \, a^{2} x + 3 \, a x^{2} - x^{3}\right)} {\left(a - 5 \, b + 4 \, x\right)}}{{\left(a^{5} + 10 \, a^{3} x^{2} - 10 \, a^{2} x^{3} + 5 \, a x^{4} - x^{5} - b d - {\left(5 \, a^{4} - d\right)} x\right)} \left({\left(a - x\right)} {\left(b - x\right)}\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((a^3 - 3*a^2*x + 3*a*x^2 - x^3)*(a - 5*b + 4*x)/((a^5 + 10*a^3*x^2 - 10*a^2*x^3 + 5*a*x^4 - x^5 - b*d - (5*a^4 - d)*x)*((a - x)*(b - x))^(2/3)), x)","F",0
2758,0,0,0,0.000000," ","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=""maxima"")","-\frac{3}{315392} \, {\left(11264 \, x^{4} + 2560 \, x^{3} - 3600 \, x^{2} + 5400 \, x - 10125\right)} {\left(4 \, x + 5\right)}^{\frac{2}{3}} - \frac{7}{34} \, \sqrt{17} \log\left(-\frac{\sqrt{17} - 2 \, \sqrt{4 \, x + 5} + 1}{\sqrt{17} + 2 \, \sqrt{4 \, x + 5} - 1}\right) - \frac{3}{186368} \, {\left(7168 \, x^{4} + 896 \, x^{3} - 1440 \, x^{2} + 2700 \, x - 10125\right)} {\left(4 \, x + 5\right)}^{\frac{1}{3}} - \frac{3}{15865304} \, {\left(857584 \, x^{6} + 1314040 \, x^{5} + 12103 \, x^{4} - 436618 \, x^{3} - 7070 \, x^{2} + 15150 \, x - 113625\right)} {\left(4 \, x + 5\right)}^{\frac{1}{6}} - \int -\frac{2 \, {\left(4 \, x^{6} + 5 \, x^{5} - x^{3}\right)} {\left(4 \, x + 5\right)}^{\frac{1}{3}} + {\left(16 \, x^{8} + 40 \, x^{7} + 25 \, x^{6} - x^{2}\right)} {\left(4 \, x + 5\right)}^{\frac{1}{6}}}{4 \, {\left(4 \, x^{3} + 5 \, x^{2} - 2 \, \sqrt{4 \, x + 5} x + 1\right)}}\,{d x} + \frac{1}{2} \, \log\left(4 \, x - \sqrt{4 \, x + 5} + 1\right) - \log\left(\sqrt{4 \, x + 5} + 1\right)"," ",0,"-3/315392*(11264*x^4 + 2560*x^3 - 3600*x^2 + 5400*x - 10125)*(4*x + 5)^(2/3) - 7/34*sqrt(17)*log(-(sqrt(17) - 2*sqrt(4*x + 5) + 1)/(sqrt(17) + 2*sqrt(4*x + 5) - 1)) - 3/186368*(7168*x^4 + 896*x^3 - 1440*x^2 + 2700*x - 10125)*(4*x + 5)^(1/3) - 3/15865304*(857584*x^6 + 1314040*x^5 + 12103*x^4 - 436618*x^3 - 7070*x^2 + 15150*x - 113625)*(4*x + 5)^(1/6) - integrate(-1/4*(2*(4*x^6 + 5*x^5 - x^3)*(4*x + 5)^(1/3) + (16*x^8 + 40*x^7 + 25*x^6 - x^2)*(4*x + 5)^(1/6))/(4*x^3 + 5*x^2 - 2*sqrt(4*x + 5)*x + 1), x) + 1/2*log(4*x - sqrt(4*x + 5) + 1) - log(sqrt(4*x + 5) + 1)","F",0
2759,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(_{C_{3}} x^{3} - 2 \, _{C_{4}}\right)} x^{3} \sqrt{\frac{_{C_{3}} x^{3} + _{C_{0}} x^{2} + _{C_{4}}}{_{C_{3}} x^{3} + _{C_{1}} x^{2} + _{C_{4}}}}}{{\left(_{C_{3}}^{2} x^{6} + 2 \, _{C_{3}} _{C_{4}} x^{3} - x^{4} + _{C_{4}}^{2}\right)} {\left(2 \, _{C_{3}} x^{3} + x^{2} + 2 \, _{C_{4}}\right)}}\,{d x}"," ",0,"integrate((_C3*x^3 - 2*_C4)*x^3*sqrt((_C3*x^3 + _C0*x^2 + _C4)/(_C3*x^3 + _C1*x^2 + _C4))/((_C3^2*x^6 + 2*_C3*_C4*x^3 - x^4 + _C4^2)*(2*_C3*x^3 + x^2 + 2*_C4)), x)","F",0
2760,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(2 \, _{C_{3}} x^{5} - 3 \, _{C_{4}}\right)} x^{5} \sqrt{\frac{_{C_{3}} x^{5} + _{C_{0}} x^{3} + _{C_{4}}}{_{C_{3}} x^{5} + _{C_{1}} x^{3} + _{C_{4}}}}}{{\left(_{C_{3}}^{2} x^{10} + 2 \, _{C_{3}} _{C_{4}} x^{5} - x^{6} + _{C_{4}}^{2}\right)} {\left(2 \, _{C_{3}} x^{5} + x^{3} + 2 \, _{C_{4}}\right)}}\,{d x}"," ",0,"integrate((2*_C3*x^5 - 3*_C4)*x^5*sqrt((_C3*x^5 + _C0*x^3 + _C4)/(_C3*x^5 + _C1*x^3 + _C4))/((_C3^2*x^10 + 2*_C3*_C4*x^5 - x^6 + _C4^2)*(2*_C3*x^5 + x^3 + 2*_C4)), x)","F",0
2761,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{3} + x\right)} {\left(x^{2} - 1\right)}^{2}}{{\left(x^{8} - 2 \, x^{6} + 4 \, x^{4} - 2 \, x^{2} + 1\right)} \sqrt{x^{4} + 1}}\,{d x}"," ",0,"integrate((x^3 + x)*(x^2 - 1)^2/((x^8 - 2*x^6 + 4*x^4 - 2*x^2 + 1)*sqrt(x^4 + 1)), x)","F",0
2762,0,0,0,0.000000," ","integrate((2*x^2+x-1)*(x^4-x^3)^(1/4)/(x^2-x-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(2 \, x^{2} + x - 1\right)}}{x^{2} - x - 1}\,{d x}"," ",0,"integrate((x^4 - x^3)^(1/4)*(2*x^2 + x - 1)/(x^2 - x - 1), x)","F",0
2763,0,0,0,0.000000," ","integrate((x^6+2)*(x^6+x^4-1)/(x^6-1)^(1/4)/(x^12+x^8-2*x^6+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} + x^{4} - 1\right)} {\left(x^{6} + 2\right)}}{{\left(x^{12} + x^{8} - 2 \, x^{6} + 1\right)} {\left(x^{6} - 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((x^6 + x^4 - 1)*(x^6 + 2)/((x^12 + x^8 - 2*x^6 + 1)*(x^6 - 1)^(1/4)), x)","F",0
2764,0,0,0,0.000000," ","integrate(1/(c*x+d)^2/(a*x+(a^2*x^2+b^2)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} {\left(c x + d\right)}^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(a*x + sqrt(a^2*x^2 + b^2))*(c*x + d)^2), x)","F",0
2765,0,0,0,0.000000," ","integrate((x^2+1)^2/(x^2-1)^2/(x^2+(x^4+1)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(x^{2} + 1\right)}^{2}}{\sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(x^{2} - 1\right)}^{2}}\,{d x}"," ",0,"integrate((x^2 + 1)^2/(sqrt(x^2 + sqrt(x^4 + 1))*(x^2 - 1)^2), x)","F",0
2766,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(2 \, a - b - c\right)} x^{2} + {\left(a b + a c - 2 \, b c\right)} a - 2 \, {\left(a^{2} - b c\right)} x}{\left(-{\left(a - x\right)} {\left(b - x\right)} {\left(c - x\right)}\right)^{\frac{2}{3}} {\left(b c d + {\left(d - 1\right)} x^{2} - a^{2} - {\left(b d + c d - 2 \, a\right)} x\right)}}\,{d x}"," ",0,"-integrate(((2*a - b - c)*x^2 + (a*b + a*c - 2*b*c)*a - 2*(a^2 - b*c)*x)/((-(a - x)*(b - x)*(c - x))^(2/3)*(b*c*d + (d - 1)*x^2 - a^2 - (b*d + c*d - 2*a)*x)), x)","F",0
2767,0,0,0,0.000000," ","integrate((x^4+1)/(x^4-1)/(a*x^4+b*x^3+c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{4} + 1}{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left(x^{4} - 1\right)}}\,{d x}"," ",0,"integrate((x^4 + 1)/(sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*(x^4 - 1)), x)","F",0
2768,0,0,0,0.000000," ","integrate((x^2-1)^2/(x^2+1)^2/(x^2+(x^4+1)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(x^{2} - 1\right)}^{2}}{\sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(x^{2} + 1\right)}^{2}}\,{d x}"," ",0,"integrate((x^2 - 1)^2/(sqrt(x^2 + sqrt(x^4 + 1))*(x^2 + 1)^2), x)","F",0
2769,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{2 \, a b^{2} - {\left(2 \, a + b\right)} b x + x^{3}}{\left(-{\left(a - x\right)} {\left(b - x\right)}^{2} x\right)^{\frac{1}{3}} {\left(a b^{2} - {\left(2 \, a + b\right)} b x + {\left(a + 2 \, b + d\right)} x^{2} - x^{3}\right)}}\,{d x}"," ",0,"-integrate((2*a*b^2 - (2*a + b)*b*x + x^3)/((-(a - x)*(b - x)^2*x)^(1/3)*(a*b^2 - (2*a + b)*b*x + (a + 2*b + d)*x^2 - x^3)), x)","F",0
2770,1,209,0,0.438032," ","integrate((c*x-d)/x/(a*x^3-b)^(1/3),x, algorithm=""maxima"")","-\frac{1}{6} \, {\left(\frac{2 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(a^{\frac{1}{3}} + \frac{2 \, {\left(a x^{3} - b\right)}^{\frac{1}{3}}}{x}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{a^{\frac{1}{3}}} - \frac{\log\left(a^{\frac{2}{3}} + \frac{{\left(a x^{3} - b\right)}^{\frac{1}{3}} a^{\frac{1}{3}}}{x} + \frac{{\left(a x^{3} - b\right)}^{\frac{2}{3}}}{x^{2}}\right)}{a^{\frac{1}{3}}} + \frac{2 \, \log\left(-a^{\frac{1}{3}} + \frac{{\left(a x^{3} - b\right)}^{\frac{1}{3}}}{x}\right)}{a^{\frac{1}{3}}}\right)} c - \frac{1}{6} \, {\left(\frac{2 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(a x^{3} - b\right)}^{\frac{1}{3}} - b^{\frac{1}{3}}\right)}}{3 \, b^{\frac{1}{3}}}\right)}{b^{\frac{1}{3}}} + \frac{\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)}{b^{\frac{1}{3}}} - \frac{2 \, \log\left({\left(a x^{3} - b\right)}^{\frac{1}{3}} + b^{\frac{1}{3}}\right)}{b^{\frac{1}{3}}}\right)} d"," ",0,"-1/6*(2*sqrt(3)*arctan(1/3*sqrt(3)*(a^(1/3) + 2*(a*x^3 - b)^(1/3)/x)/a^(1/3))/a^(1/3) - log(a^(2/3) + (a*x^3 - b)^(1/3)*a^(1/3)/x + (a*x^3 - b)^(2/3)/x^2)/a^(1/3) + 2*log(-a^(1/3) + (a*x^3 - b)^(1/3)/x)/a^(1/3))*c - 1/6*(2*sqrt(3)*arctan(1/3*sqrt(3)*(2*(a*x^3 - b)^(1/3) - b^(1/3))/b^(1/3))/b^(1/3) + log((a*x^3 - b)^(2/3) - (a*x^3 - b)^(1/3)*b^(1/3) + b^(2/3))/b^(1/3) - 2*log((a*x^3 - b)^(1/3) + b^(1/3))/b^(1/3))*d","A",0
2771,0,0,0,0.000000," ","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=""maxima"")","\int \frac{a^{4} x^{4} - b^{4} + c^{2} x^{2}}{{\left(a^{4} x^{4} + b^{4}\right)} \sqrt{a^{4} x^{4} - b^{4}}}\,{d x}"," ",0,"integrate((a^4*x^4 - b^4 + c^2*x^2)/((a^4*x^4 + b^4)*sqrt(a^4*x^4 - b^4)), x)","F",0
2772,0,0,0,0.000000," ","integrate(x^2/(-x^4+1)/(a*x^4+b*x^3+c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","-\int \frac{x^{2}}{\sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a} {\left(x^{4} - 1\right)}}\,{d x}"," ",0,"-integrate(x^2/(sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)*(x^4 - 1)), x)","F",0
2773,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a^{2} b - 2 \, a^{2} x + {\left(2 \, a - b\right)} x^{2}\right)} {\left(b - x\right)} x}{{\left({\left(d - 1\right)} x^{4} - a^{4} + 4 \, a^{3} x - 2 \, {\left(b d - 2 \, a\right)} x^{3} + {\left(b^{2} d - 6 \, a^{2}\right)} x^{2}\right)} \left({\left(a - x\right)} {\left(b - x\right)} x\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((a^2*b - 2*a^2*x + (2*a - b)*x^2)*(b - x)*x/(((d - 1)*x^4 - a^4 + 4*a^3*x - 2*(b*d - 2*a)*x^3 + (b^2*d - 6*a^2)*x^2)*((a - x)*(b - x)*x)^(2/3)), x)","F",0
2774,0,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(x^6-8*x^3+8)/x^6/(x^3-4)/(x^3-2),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} - 8 \, x^{3} + 8\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{{\left(x^{3} - 2\right)} {\left(x^{3} - 4\right)} x^{6}}\,{d x}"," ",0,"integrate((x^6 - 8*x^3 + 8)*(x^3 - 1)^(2/3)/((x^3 - 2)*(x^3 - 4)*x^6), x)","F",0
2775,0,0,0,0.000000," ","integrate((c+(a*x+(a^2*x^2-b)^(1/2))^(3/4))^(4/3)/(a^2*x^2-b)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{3}{4}}\right)}^{\frac{4}{3}}}{\sqrt{a^{2} x^{2} - b}}\,{d x}"," ",0,"integrate((c + (a*x + sqrt(a^2*x^2 - b))^(3/4))^(4/3)/sqrt(a^2*x^2 - b), x)","F",0
2776,0,0,0,0.000000," ","integrate(1/(a*x-b)/(a^3*x^3+b^3)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(a^{3} x^{3} + b^{3}\right)}^{\frac{1}{3}} {\left(a x - b\right)}}\,{d x}"," ",0,"integrate(1/((a^3*x^3 + b^3)^(1/3)*(a*x - b)), x)","F",0
2777,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a x^{2} + \sqrt{\frac{a^{2} x^{2}}{b^{2}} - \frac{a}{b^{2}}} b x\right)}^{\frac{1}{3}}}{\sqrt{\frac{a^{2} x^{2}}{b^{2}} - \frac{a}{b^{2}}}}\,{d x}"," ",0,"integrate((a*x^2 + sqrt(a^2*x^2/b^2 - a/b^2)*b*x)^(1/3)/sqrt(a^2*x^2/b^2 - a/b^2), x)","F",0
2778,0,0,0,0.000000," ","integrate((x^2+1)^(1/2)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^2+1),x, algorithm=""maxima"")","-\int \frac{\sqrt{x^{2} + 1} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{x^{2} - 1}\,{d x}"," ",0,"-integrate(sqrt(x^2 + 1)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/(x^2 - 1), x)","F",0
2779,0,0,0,0.000000," ","integrate((x^2+1)^(1/2)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^2+1),x, algorithm=""maxima"")","-\int \frac{\sqrt{x^{2} + 1} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{x^{2} - 1}\,{d x}"," ",0,"-integrate(sqrt(x^2 + 1)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/(x^2 - 1), x)","F",0
2780,0,0,0,0.000000," ","integrate((-b+x)/((-a+x)*(-b+x)^2)^(2/3)/(b-a*d+(-1+d)*x),x, algorithm=""maxima"")","\int \frac{b - x}{\left(-{\left(a - x\right)} {\left(b - x\right)}^{2}\right)^{\frac{2}{3}} {\left(a d - {\left(d - 1\right)} x - b\right)}}\,{d x}"," ",0,"integrate((b - x)/((-(a - x)*(b - x)^2)^(2/3)*(a*d - (d - 1)*x - b)), x)","F",0
2781,0,0,0,0.000000," ","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=""maxima"")","\int \frac{b p x^{3} - a q x}{{\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}}\,{d x}"," ",0,"integrate((b*p*x^3 - a*q*x)/((2*a*b*c*x^2 + (a^2*c + d*p)*x^4 + b^2*c + d*q)*sqrt(p*x^4 + q)), x)","F",0
2782,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a p x^{3} + 3 \, b p x^{2} - 2 \, a q\right)} {\left(a x + b\right)}^{2}}{{\left(a^{4} c x^{4} + d p^{2} x^{6} + 6 \, a^{2} b^{2} c x^{2} + 4 \, a b^{3} c x + b^{4} c + 2 \, {\left(2 \, a^{3} b c + d p q\right)} x^{3} + d q^{2}\right)} \sqrt{p x^{3} + q}}\,{d x}"," ",0,"integrate((a*p*x^3 + 3*b*p*x^2 - 2*a*q)*(a*x + b)^2/((a^4*c*x^4 + d*p^2*x^6 + 6*a^2*b^2*c*x^2 + 4*a*b^3*c*x + b^4*c + 2*(2*a^3*b*c + d*p*q)*x^3 + d*q^2)*sqrt(p*x^3 + q)), x)","F",0
2783,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{2} + 1\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{{\left(x^{2} - 1\right)}^{2} \sqrt{x + \sqrt{x^{2} + 1}}}\,{d x}"," ",0,"integrate((x^2 + 1)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/((x^2 - 1)^2*sqrt(x + sqrt(x^2 + 1))), x)","F",0
2784,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{2} + 1\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{{\left(x^{2} - 1\right)}^{2} \sqrt{x + \sqrt{x^{2} + 1}}}\,{d x}"," ",0,"integrate((x^2 + 1)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/((x^2 - 1)^2*sqrt(x + sqrt(x^2 + 1))), x)","F",0
2785,0,0,0,0.000000," ","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=""maxima"")","\int \frac{k^{4} x^{4} - 1}{{\left(a k^{4} x^{4} + b x^{2} + a\right)} \sqrt{{\left(k^{2} x - 1\right)} {\left(x - 1\right)} x}}\,{d x}"," ",0,"integrate((k^4*x^4 - 1)/((a*k^4*x^4 + b*x^2 + a)*sqrt((k^2*x - 1)*(x - 1)*x)), x)","F",0
2786,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(4 \, a - 3 \, x\right)} x^{5}}{{\left(d x^{8} - a^{2} + 2 \, a x - x^{2}\right)} \left(-{\left(a - x\right)} x^{2}\right)^{\frac{1}{3}}}\,{d x}"," ",0,"-integrate((4*a - 3*x)*x^5/((d*x^8 - a^2 + 2*a*x - x^2)*(-(a - x)*x^2)^(1/3)), x)","F",0
2787,1,64,0,0.308923," ","integrate(1/8*(1-x)^(1/2)/(1+x)^(7/2),x, algorithm=""maxima"")","-\frac{\sqrt{-x^{2} + 1}}{20 \, {\left(x^{3} + 3 \, x^{2} + 3 \, x + 1\right)}} + \frac{\sqrt{-x^{2} + 1}}{120 \, {\left(x^{2} + 2 \, x + 1\right)}} + \frac{\sqrt{-x^{2} + 1}}{120 \, {\left(x + 1\right)}}"," ",0,"-1/20*sqrt(-x^2 + 1)/(x^3 + 3*x^2 + 3*x + 1) + 1/120*sqrt(-x^2 + 1)/(x^2 + 2*x + 1) + 1/120*sqrt(-x^2 + 1)/(x + 1)","A",0
2788,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{2 \, a b^{2} - {\left(2 \, a + b\right)} b x + x^{3}}{{\left(a b^{2} d - {\left(2 \, a + b\right)} b d x - d x^{3} + {\left(a d + 2 \, b d + 1\right)} x^{2}\right)} \left(-{\left(a - x\right)} {\left(b - x\right)}^{2} x\right)^{\frac{1}{3}}}\,{d x}"," ",0,"-integrate((2*a*b^2 - (2*a + b)*b*x + x^3)/((a*b^2*d - (2*a + b)*b*d*x - d*x^3 + (a*d + 2*b*d + 1)*x^2)*(-(a - x)*(b - x)^2*x)^(1/3)), x)","F",0
2789,0,0,0,0.000000," ","integrate((x^2-x)*(x^4-x^3)^(1/4)/(x^2-x-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} - x^{3}\right)}^{\frac{1}{4}} {\left(x^{2} - x\right)}}{x^{2} - x - 1}\,{d x}"," ",0,"integrate((x^4 - x^3)^(1/4)*(x^2 - x)/(x^2 - x - 1), x)","F",0
2790,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{a x + b} \sqrt{c + \sqrt{a x + b}}}{\sqrt{d + \sqrt{c + \sqrt{a x + b}}} x}\,{d x}"," ",0,"integrate(sqrt(a*x + b)*sqrt(c + sqrt(a*x + b))/(sqrt(d + sqrt(c + sqrt(a*x + b)))*x), x)","F",0
2791,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{a x + b} \sqrt{c + \sqrt{a x + b}}}{\sqrt{d + \sqrt{c + \sqrt{a x + b}}} x}\,{d x}"," ",0,"integrate(sqrt(a*x + b)*sqrt(c + sqrt(a*x + b))/(sqrt(d + sqrt(c + sqrt(a*x + b)))*x), x)","F",0
2792,0,0,0,0.000000," ","integrate(1/(1+(a*x+(a^2*x^2-b)^(1/2))^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{\sqrt{a x + \sqrt{a^{2} x^{2} - b}} + 1}}\,{d x}"," ",0,"integrate(1/sqrt(sqrt(a*x + sqrt(a^2*x^2 - b)) + 1), x)","F",0
2793,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left({\left(k + 1\right)} x^{2} - 2 \, x\right)} {\left(k x - 1\right)} {\left(x - 1\right)}}{{\left(2 \, b {\left(k + 1\right)} k x^{3} - {\left(b k^{2} - 1\right)} x^{4} + 2 \, b {\left(k + 1\right)} x - {\left(b k^{2} + 4 \, b k + b\right)} x^{2} - b\right)} \left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{2}{3}}}\,{d x}"," ",0,"-integrate(((k + 1)*x^2 - 2*x)*(k*x - 1)*(x - 1)/((2*b*(k + 1)*k*x^3 - (b*k^2 - 1)*x^4 + 2*b*(k + 1)*x - (b*k^2 + 4*b*k + b)*x^2 - b)*((k*x - 1)*(x - 1)*x)^(2/3)), x)","F",0
2794,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(3 \, k x^{2} + 2 \, {\left(k - 2\right)} x - 1\right)} {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}}{{\left(b x^{5} - 5 \, b x^{4} + 10 \, b x^{3} - {\left(10 \, b + k\right)} x^{2} + {\left(5 \, b + 1\right)} x - b\right)} \left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((3*k*x^2 + 2*(k - 2)*x - 1)*(x^3 - 3*x^2 + 3*x - 1)/((b*x^5 - 5*b*x^4 + 10*b*x^3 - (10*b + k)*x^2 + (5*b + 1)*x - b)*((k*x - 1)*(x - 1)*x)^(2/3)), x)","F",0
2795,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a x^{8} - 4 \, b\right)} {\left(a x^{4} + 2 \, b\right)}^{\frac{1}{4}}}{{\left(a x^{8} + c x^{4} - 4 \, b\right)} x^{6}}\,{d x}"," ",0,"integrate((a*x^8 - 4*b)*(a*x^4 + 2*b)^(1/4)/((a*x^8 + c*x^4 - 4*b)*x^6), x)","F",0
2796,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a x^{8} - 4 \, b\right)} {\left(a x^{4} + 2 \, b\right)}^{\frac{1}{4}}}{{\left(a x^{8} + c x^{4} - 4 \, b\right)} x^{6}}\,{d x}"," ",0,"integrate((a*x^8 - 4*b)*(a*x^4 + 2*b)^(1/4)/((a*x^8 + c*x^4 - 4*b)*x^6), x)","F",0
2797,0,0,0,0.000000," ","integrate((a^12*x^12-b^12)/(a^4*x^4-b^4)^(1/2)/(a^12*x^12+b^12),x, algorithm=""maxima"")","\int \frac{a^{12} x^{12} - b^{12}}{{\left(a^{12} x^{12} + b^{12}\right)} \sqrt{a^{4} x^{4} - b^{4}}}\,{d x}"," ",0,"integrate((a^12*x^12 - b^12)/((a^12*x^12 + b^12)*sqrt(a^4*x^4 - b^4)), x)","F",0
2798,0,0,0,0.000000," ","integrate(1/(1-(1+x)*(a*x^2+b*x+c)^(1/2)),x, algorithm=""maxima"")","-\int \frac{1}{\sqrt{a x^{2} + b x + c} {\left(x + 1\right)} - 1}\,{d x}"," ",0,"-integrate(1/(sqrt(a*x^2 + b*x + c)*(x + 1) - 1), x)","F",0
2799,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(-x^{9} + x^{8} + 4 \, x^{7} - 4 \, x^{6} - 6 \, x^{5} + 6 \, x^{4} + 4 \, x^{3} - 4 \, x^{2} - x + 1\right)}^{\frac{1}{4}} {\left(x^{4} - 1\right)}}{x^{4} + 1}\,{d x}"," ",0,"-integrate((-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^4 + 1), x)","F",0
2800,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a - 5 \, b\right)} a + {\left(3 \, a + 5 \, b\right)} x - 4 \, x^{2}}{{\left(a^{5} d + 10 \, a^{3} d x^{2} - 10 \, a^{2} d x^{3} + 5 \, a d x^{4} - d x^{5} - {\left(5 \, a^{4} d - 1\right)} x - b\right)} \left({\left(a - x\right)} {\left(b - x\right)}\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(((a - 5*b)*a + (3*a + 5*b)*x - 4*x^2)/((a^5*d + 10*a^3*d*x^2 - 10*a^2*d*x^3 + 5*a*d*x^4 - d*x^5 - (5*a^4*d - 1)*x - b)*((a - x)*(b - x))^(1/3)), x)","F",0
2801,0,0,0,0.000000," ","integrate((x^8+1)/(x^4-x^2)^(1/4)/(x^8-1),x, algorithm=""maxima"")","\int \frac{x^{8} + 1}{{\left(x^{8} - 1\right)} {\left(x^{4} - x^{2}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((x^8 + 1)/((x^8 - 1)*(x^4 - x^2)^(1/4)), x)","F",0
2802,0,0,0,0.000000," ","integrate((x^8+1)/(x^4-x^2)^(1/4)/(x^8-1),x, algorithm=""maxima"")","\int \frac{x^{8} + 1}{{\left(x^{8} - 1\right)} {\left(x^{4} - x^{2}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((x^8 + 1)/((x^8 - 1)*(x^4 - x^2)^(1/4)), x)","F",0
2803,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{a b - {\left(a + b\right)} x + x^{2}}{\left(-{\left(a - x\right)} {\left(b - x\right)}^{2}\right)^{\frac{2}{3}} {\left(b^{2} d + {\left(d - 1\right)} x^{2} - a^{2} - 2 \, {\left(b d - a\right)} x\right)}}\,{d x}"," ",0,"-integrate((a*b - (a + b)*x + x^2)/((-(a - x)*(b - x)^2)^(2/3)*(b^2*d + (d - 1)*x^2 - a^2 - 2*(b*d - a)*x)), x)","F",0
2804,0,0,0,0.000000," ","integrate((x^2+(x^4+1)^(1/2))^(1/2)/(x^4-1)/(x^4+1)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{2} + \sqrt{x^{4} + 1}}}{\sqrt{x^{4} + 1} {\left(x^{4} - 1\right)}}\,{d x}"," ",0,"integrate(sqrt(x^2 + sqrt(x^4 + 1))/(sqrt(x^4 + 1)*(x^4 - 1)), x)","F",0
2805,0,0,0,0.000000," ","integrate((x^6-1)/(x^4-x^2)^(1/3)/(x^6+1),x, algorithm=""maxima"")","\int \frac{x^{6} - 1}{{\left(x^{6} + 1\right)} {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((x^6 - 1)/((x^6 + 1)*(x^4 - x^2)^(1/3)), x)","F",0
2806,0,0,0,0.000000," ","integrate((x^2+(x^4+1)^(1/2))^(1/2)/(1+x),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{2} + \sqrt{x^{4} + 1}}}{x + 1}\,{d x}"," ",0,"integrate(sqrt(x^2 + sqrt(x^4 + 1))/(x + 1), x)","F",0
2807,0,0,0,0.000000," ","integrate((a*x^2+b)/(-a*x^2+b)/(a*x^5+b*x^3)^(1/4),x, algorithm=""maxima"")","-\int \frac{a x^{2} + b}{{\left(a x^{5} + b x^{3}\right)}^{\frac{1}{4}} {\left(a x^{2} - b\right)}}\,{d x}"," ",0,"-integrate((a*x^2 + b)/((a*x^5 + b*x^3)^(1/4)*(a*x^2 - b)), x)","F",0
2808,0,0,0,0.000000," ","integrate((x^3+4)*(x^4+x^3+1)/(x^3+1)^(1/4)/(x^8+x^6+2*x^3+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + x^{3} + 1\right)} {\left(x^{3} + 4\right)}}{{\left(x^{8} + x^{6} + 2 \, x^{3} + 1\right)} {\left(x^{3} + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((x^4 + x^3 + 1)*(x^3 + 4)/((x^8 + x^6 + 2*x^3 + 1)*(x^3 + 1)^(1/4)), x)","F",0
2809,0,0,0,0.000000," ","integrate(x^2*(1+x)^(1/2)/(x^2-(1+x)^(1/2)*(1+(1+x)^(1/2))^(1/2)),x, algorithm=""maxima"")","\int \frac{\sqrt{x + 1} x^{2}}{x^{2} - \sqrt{x + 1} \sqrt{\sqrt{x + 1} + 1}}\,{d x}"," ",0,"integrate(sqrt(x + 1)*x^2/(x^2 - sqrt(x + 1)*sqrt(sqrt(x + 1) + 1)), x)","F",0
2810,0,0,0,0.000000," ","integrate(x^2*(1+x)^(1/2)/(x^2-(1+x)^(1/2)*(1+(1+x)^(1/2))^(1/2)),x, algorithm=""maxima"")","\int \frac{\sqrt{x + 1} x^{2}}{x^{2} - \sqrt{x + 1} \sqrt{\sqrt{x + 1} + 1}}\,{d x}"," ",0,"integrate(sqrt(x + 1)*x^2/(x^2 - sqrt(x + 1)*sqrt(sqrt(x + 1) + 1)), x)","F",0
2811,0,0,0,0.000000," ","integrate((x^4-a*x-b)*(a*x^4+b*x^3)^(1/4)/(a*x-b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} {\left(x^{4} - a x - b\right)}}{a x - b}\,{d x}"," ",0,"integrate((a*x^4 + b*x^3)^(1/4)*(x^4 - a*x - b)/(a*x - b), x)","F",0
2812,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(b^{3} - 3 \, b^{2} x + 3 \, b x^{2} - x^{3}\right)} {\left(4 \, a - b - 3 \, x\right)}}{{\left(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)} \left(-{\left(a - x\right)} {\left(b - x\right)}^{2}\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((b^3 - 3*b^2*x + 3*b*x^2 - x^3)*(4*a - b - 3*x)/((b^4*d + 6*b^2*d*x^2 - 4*b*d*x^3 + d*x^4 - (4*b^3*d + 1)*x + a)*(-(a - x)*(b - x)^2)^(2/3)), x)","F",0
2813,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left({\left(k + 1\right)} x - 2\right)} x^{2}}{{\left({\left(k^{2} - b\right)} x^{4} - 2 \, {\left(k^{2} + k\right)} x^{3} + {\left(k^{2} + 4 \, k + 1\right)} x^{2} - 2 \, {\left(k + 1\right)} x + 1\right)} \left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(((k + 1)*x - 2)*x^2/(((k^2 - b)*x^4 - 2*(k^2 + k)*x^3 + (k^2 + 4*k + 1)*x^2 - 2*(k + 1)*x + 1)*((k*x - 1)*(x - 1)*x)^(1/3)), x)","F",0
2814,0,0,0,0.000000," ","integrate(1/(c+(a*x+(a^2*x^2+b^2)^(1/2))^(1/2)),x, algorithm=""maxima"")","\int \frac{1}{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}}\,{d x}"," ",0,"integrate(1/(c + sqrt(a*x + sqrt(a^2*x^2 + b^2))), x)","F",0
2815,0,0,0,0.000000," ","integrate((-7+x)*(3*x^3-5*x^2+x+1)^(1/3)/(-5+x)/(-1+x)^3,x, algorithm=""maxima"")","\int \frac{{\left(3 \, x^{3} - 5 \, x^{2} + x + 1\right)}^{\frac{1}{3}} {\left(x - 7\right)}}{{\left(x - 1\right)}^{3} {\left(x - 5\right)}}\,{d x}"," ",0,"integrate((3*x^3 - 5*x^2 + x + 1)^(1/3)*(x - 7)/((x - 1)^3*(x - 5)), x)","F",0
2816,0,0,0,0.000000," ","integrate((a^2*x^2+b^2)/(a^2*x^2-b^2)^3/(a*x^3-b*x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{a^{2} x^{2} + b^{2}}{{\left(a^{2} x^{2} - b^{2}\right)}^{3} {\left(a x^{3} - b x^{2}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((a^2*x^2 + b^2)/((a^2*x^2 - b^2)^3*(a*x^3 - b*x^2)^(1/3)), x)","F",0
2817,0,0,0,0.000000," ","integrate((c*x+d)/(c*x-d)/(a*x+(a^2*x^2+b^2)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{c x + d}{\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} {\left(c x - d\right)}}\,{d x}"," ",0,"integrate((c*x + d)/(sqrt(a*x + sqrt(a^2*x^2 + b^2))*(c*x - d)), x)","F",0
2818,0,0,0,0.000000," ","integrate((a*x^4-b*x^3)^(1/4)/(-2*c*x+x^2-d),x, algorithm=""maxima"")","-\int \frac{{\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}}}{2 \, c x - x^{2} + d}\,{d x}"," ",0,"-integrate((a*x^4 - b*x^3)^(1/4)/(2*c*x - x^2 + d), x)","F",0
2819,0,0,0,0.000000," ","integrate((a*x^4-b*x^3)^(1/4)/(-2*c*x+x^2-d),x, algorithm=""maxima"")","-\int \frac{{\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}}}{2 \, c x - x^{2} + d}\,{d x}"," ",0,"-integrate((a*x^4 - b*x^3)^(1/4)/(2*c*x - x^2 + d), x)","F",0
2820,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left({\left(2 \, k - 1\right)} x - 1\right)} {\left(k x - 1\right)} x}{{\left({\left(b k^{2} - 1\right)} x^{4} - 2 \, {\left(b k - 2\right)} x^{3} + {\left(b - 6\right)} x^{2} + 4 \, x - 1\right)} \left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(((2*k - 1)*x - 1)*(k*x - 1)*x/(((b*k^2 - 1)*x^4 - 2*(b*k - 2)*x^3 + (b - 6)*x^2 + 4*x - 1)*((k*x - 1)*(x - 1)*x)^(1/3)), x)","F",0
2821,0,0,0,0.000000," ","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=""maxima"")","\int \frac{3 \, k^{2} x^{3} - {\left(4 \, k^{2} + k\right)} x^{2} + {\left(3 \, k - 2\right)} x + 1}{{\left(b k^{5} x^{5} - 5 \, b k^{4} x^{4} + 10 \, b k^{3} x^{3} - {\left(10 \, b k^{2} + 1\right)} x^{2} + {\left(5 \, b k + 1\right)} x - b\right)} \left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((3*k^2*x^3 - (4*k^2 + k)*x^2 + (3*k - 2)*x + 1)/((b*k^5*x^5 - 5*b*k^4*x^4 + 10*b*k^3*x^3 - (10*b*k^2 + 1)*x^2 + (5*b*k + 1)*x - b)*((k*x - 1)*(x - 1)*x)^(1/3)), x)","F",0
2822,0,0,0,0.000000," ","integrate((c*x+d)^2/(a*x+(a^2*x^2+b^2)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(c x + d\right)}^{2}}{\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}}\,{d x}"," ",0,"integrate((c*x + d)^2/sqrt(a*x + sqrt(a^2*x^2 + b^2)), x)","F",0
2823,0,0,0,0.000000," ","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=""maxima"")","-x - \int -\frac{x^{2} + 1}{x^{2} - {\left(x^{3} + 1\right)} {\left(3 \, x - 1\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"-x - integrate(-(x^2 + 1)/(x^2 - (x^3 + 1)*(3*x - 1)^(1/3)), x)","F",0
2824,0,0,0,0.000000," ","integrate((-k*x+1)/(1+(-2+k)*x)/((1-x)*x*(-k*x+1))^(2/3),x, algorithm=""maxima"")","-\int \frac{k x - 1}{\left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{2}{3}} {\left({\left(k - 2\right)} x + 1\right)}}\,{d x}"," ",0,"-integrate((k*x - 1)/(((k*x - 1)*(x - 1)*x)^(2/3)*((k - 2)*x + 1)), x)","F",0
2825,0,0,0,0.000000," ","integrate((x^3+x^2+1)/(x^3+x^2-1)/(x^3+x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{x^{3} + x^{2} + 1}{{\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(x^{3} + x^{2} - 1\right)}}\,{d x}"," ",0,"integrate((x^3 + x^2 + 1)/((x^3 + x^2)^(1/3)*(x^3 + x^2 - 1)), x)","F",0
2826,0,0,0,0.000000," ","integrate((x^3+x^2+1)/(x^3+x^2-1)/(x^3+x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{x^{3} + x^{2} + 1}{{\left(x^{3} + x^{2}\right)}^{\frac{1}{3}} {\left(x^{3} + x^{2} - 1\right)}}\,{d x}"," ",0,"integrate((x^3 + x^2 + 1)/((x^3 + x^2)^(1/3)*(x^3 + x^2 - 1)), x)","F",0
2827,0,0,0,0.000000," ","integrate((a*x+(a*x-b)^(1/2))^(1/2)/x/(a*x-b)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{a x + \sqrt{a x - b}}}{\sqrt{a x - b} x}\,{d x}"," ",0,"integrate(sqrt(a*x + sqrt(a*x - b))/(sqrt(a*x - b)*x), x)","F",0
2828,0,0,0,0.000000," ","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),x, algorithm=""maxima"")","\int \sqrt{a x + \sqrt{a^{2} x^{2} + b}} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}}\,{d x}"," ",0,"integrate(sqrt(a*x + sqrt(a^2*x^2 + b))*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b))), x)","F",0
2829,0,0,0,0.000000," ","integrate(x^4*(a^2*x^4+b)^(1/2)*(a*x^2+(a^2*x^4+b)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{a^{2} x^{4} + b} \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}} x^{4}\,{d x}"," ",0,"integrate(sqrt(a^2*x^4 + b)*sqrt(a*x^2 + sqrt(a^2*x^4 + b))*x^4, x)","F",0
2830,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}}}{{\left(a^{2} x^{2} + b\right)}^{\frac{3}{2}} \sqrt{a x + \sqrt{a^{2} x^{2} + b}}}\,{d x}"," ",0,"integrate(sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b)))/((a^2*x^2 + b)^(3/2)*sqrt(a*x + sqrt(a^2*x^2 + b))), x)","F",0
2831,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}}}{{\left(a^{2} x^{2} + b\right)}^{\frac{3}{2}} \sqrt{a x + \sqrt{a^{2} x^{2} + b}}}\,{d x}"," ",0,"integrate(sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b)))/((a^2*x^2 + b)^(3/2)*sqrt(a*x + sqrt(a^2*x^2 + b))), x)","F",0
2832,0,0,0,0.000000," ","integrate(x^2/(a*x^2+b)/(x^3+x)^(1/3),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(a x^{2} + b\right)} {\left(x^{3} + x\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(x^2/((a*x^2 + b)*(x^3 + x)^(1/3)), x)","F",0
2833,0,0,0,0.000000," ","integrate((x^6+1)/(x^4+x^2)^(1/3)/(x^6-1),x, algorithm=""maxima"")","\int \frac{x^{6} + 1}{{\left(x^{6} - 1\right)} {\left(x^{4} + x^{2}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((x^6 + 1)/((x^6 - 1)*(x^4 + x^2)^(1/3)), x)","F",0
2834,0,0,0,0.000000," ","integrate((3*x^4-2)^(1/2)*(3*x^4-1)/x^3/(3*x^8-3*x^4+1),x, algorithm=""maxima"")","\int \frac{{\left(3 \, x^{4} - 1\right)} \sqrt{3 \, x^{4} - 2}}{{\left(3 \, x^{8} - 3 \, x^{4} + 1\right)} x^{3}}\,{d x}"," ",0,"integrate((3*x^4 - 1)*sqrt(3*x^4 - 2)/((3*x^8 - 3*x^4 + 1)*x^3), x)","F",0
2835,0,0,0,0.000000," ","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=""maxima"")","\int \frac{1}{{\left(a^{2} x^{2} - b x\right)}^{\frac{5}{2}} {\left(a x^{2} + \sqrt{a^{2} x^{2} - b x} x\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((a^2*x^2 - b*x)^(5/2)*(a*x^2 + sqrt(a^2*x^2 - b*x)*x)^(3/2)), x)","F",0
2836,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(a - 2 \, b + x\right)} {\left(b - x\right)}}{{\left(a^{4} - 4 \, a x^{3} + x^{4} - b^{2} d + {\left(6 \, a^{2} - d\right)} x^{2} - 2 \, {\left(2 \, a^{3} - b d\right)} x\right)} \left({\left(a - x\right)} {\left(b - x\right)}\right)^{\frac{1}{3}}}\,{d x}"," ",0,"-integrate((a - 2*b + x)*(b - x)/((a^4 - 4*a*x^3 + x^4 - b^2*d + (6*a^2 - d)*x^2 - 2*(2*a^3 - b*d)*x)*((a - x)*(b - x))^(1/3)), x)","F",0
2837,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left({\left(k - 2\right)} x + 1\right)} {\left(x - 1\right)} x}{{\left({\left(k^{4} - b\right)} x^{4} - 2 \, {\left(2 \, k^{3} - b\right)} x^{3} + {\left(6 \, k^{2} - b\right)} x^{2} - 4 \, k x + 1\right)} \left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(((k - 2)*x + 1)*(x - 1)*x/(((k^4 - b)*x^4 - 2*(2*k^3 - b)*x^3 + (6*k^2 - b)*x^2 - 4*k*x + 1)*((k*x - 1)*(x - 1)*x)^(1/3)), x)","F",0
2838,0,0,0,0.000000," ","integrate((x^3-1)^(2/3)*(x^6+4)/x^6/(x^6-4),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} + 4\right)} {\left(x^{3} - 1\right)}^{\frac{2}{3}}}{{\left(x^{6} - 4\right)} x^{6}}\,{d x}"," ",0,"integrate((x^6 + 4)*(x^3 - 1)^(2/3)/((x^6 - 4)*x^6), x)","F",0
2839,0,0,0,0.000000," ","integrate((c+(a*x+(a^2*x^2-b)^(1/2))^(1/4))^(1/6)/(a^2*x^2-b)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{6}}}{\sqrt{a^{2} x^{2} - b}}\,{d x}"," ",0,"integrate((c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/6)/sqrt(a^2*x^2 - b), x)","F",0
2840,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(a b - 2 \, b x + x^{2}\right)} {\left(b - x\right)}}{\left(-{\left(a - x\right)} {\left(b - x\right)}^{2} x\right)^{\frac{2}{3}} {\left(b d - {\left(a + d\right)} x + x^{2}\right)}}\,{d x}"," ",0,"-integrate((a*b - 2*b*x + x^2)*(b - x)/((-(a - x)*(b - x)^2*x)^(2/3)*(b*d - (a + d)*x + x^2)), x)","F",0
2841,1,250,0,0.878240," ","integrate((c*x^4-d)/x/(a*x^3-b)^(1/3),x, algorithm=""maxima"")","-\frac{1}{18} \, {\left(\frac{2 \, \sqrt{3} b \arctan\left(\frac{\sqrt{3} {\left(a^{\frac{1}{3}} + \frac{2 \, {\left(a x^{3} - b\right)}^{\frac{1}{3}}}{x}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{a^{\frac{4}{3}}} - \frac{b \log\left(a^{\frac{2}{3}} + \frac{{\left(a x^{3} - b\right)}^{\frac{1}{3}} a^{\frac{1}{3}}}{x} + \frac{{\left(a x^{3} - b\right)}^{\frac{2}{3}}}{x^{2}}\right)}{a^{\frac{4}{3}}} + \frac{2 \, b \log\left(-a^{\frac{1}{3}} + \frac{{\left(a x^{3} - b\right)}^{\frac{1}{3}}}{x}\right)}{a^{\frac{4}{3}}} - \frac{6 \, {\left(a x^{3} - b\right)}^{\frac{2}{3}} b}{{\left(a^{2} - \frac{{\left(a x^{3} - b\right)} a}{x^{3}}\right)} x^{2}}\right)} c - \frac{1}{6} \, {\left(\frac{2 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(a x^{3} - b\right)}^{\frac{1}{3}} - b^{\frac{1}{3}}\right)}}{3 \, b^{\frac{1}{3}}}\right)}{b^{\frac{1}{3}}} + \frac{\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)}{b^{\frac{1}{3}}} - \frac{2 \, \log\left({\left(a x^{3} - b\right)}^{\frac{1}{3}} + b^{\frac{1}{3}}\right)}{b^{\frac{1}{3}}}\right)} d"," ",0,"-1/18*(2*sqrt(3)*b*arctan(1/3*sqrt(3)*(a^(1/3) + 2*(a*x^3 - b)^(1/3)/x)/a^(1/3))/a^(4/3) - b*log(a^(2/3) + (a*x^3 - b)^(1/3)*a^(1/3)/x + (a*x^3 - b)^(2/3)/x^2)/a^(4/3) + 2*b*log(-a^(1/3) + (a*x^3 - b)^(1/3)/x)/a^(4/3) - 6*(a*x^3 - b)^(2/3)*b/((a^2 - (a*x^3 - b)*a/x^3)*x^2))*c - 1/6*(2*sqrt(3)*arctan(1/3*sqrt(3)*(2*(a*x^3 - b)^(1/3) - b^(1/3))/b^(1/3))/b^(1/3) + log((a*x^3 - b)^(2/3) - (a*x^3 - b)^(1/3)*b^(1/3) + b^(2/3))/b^(1/3) - 2*log((a*x^3 - b)^(1/3) + b^(1/3))/b^(1/3))*d","A",0
2842,0,0,0,0.000000," ","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=""maxima"")","\int \frac{a b - 2 \, b x + x^{2}}{\left(-{\left(a - x\right)} {\left(b - x\right)}^{2} x\right)^{\frac{1}{3}} {\left(d x^{2} - {\left(a d + 1\right)} x + b\right)}}\,{d x}"," ",0,"integrate((a*b - 2*b*x + x^2)/((-(a - x)*(b - x)^2*x)^(1/3)*(d*x^2 - (a*d + 1)*x + b)), x)","F",0
2843,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{a b^{2} - {\left(4 \, a - b\right)} b x + 3 \, a x^{2} - x^{3}}{\left(-{\left(a - x\right)} {\left(b - x\right)}^{2} x\right)^{\frac{1}{3}} {\left(d x^{3} - {\left(2 \, b d + 1\right)} x^{2} - a^{2} + {\left(b^{2} d + 2 \, a\right)} x\right)}}\,{d x}"," ",0,"-integrate((a*b^2 - (4*a - b)*b*x + 3*a*x^2 - x^3)/((-(a - x)*(b - x)^2*x)^(1/3)*(d*x^3 - (2*b*d + 1)*x^2 - a^2 + (b^2*d + 2*a)*x)), x)","F",0
2844,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(b^{3} - 3 \, b^{2} x + 3 \, b x^{2} - x^{3}\right)} {\left(4 \, a - b - 3 \, x\right)}}{{\left(b^{4} + 6 \, b^{2} x^{2} - 4 \, b x^{3} + x^{4} + a d - {\left(4 \, b^{3} + d\right)} x\right)} \left(-{\left(a - x\right)} {\left(b - x\right)}^{2}\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((b^3 - 3*b^2*x + 3*b*x^2 - x^3)*(4*a - b - 3*x)/((b^4 + 6*b^2*x^2 - 4*b*x^3 + x^4 + a*d - (4*b^3 + d)*x)*(-(a - x)*(b - x)^2)^(2/3)), x)","F",0
2845,0,0,0,0.000000," ","integrate((a*x^4-b*x^3)^(1/4)/x/(c*x-d),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} - b x^{3}\right)}^{\frac{1}{4}}}{{\left(c x - d\right)} x}\,{d x}"," ",0,"integrate((a*x^4 - b*x^3)^(1/4)/((c*x - d)*x), x)","F",0
2846,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(2 \, a b x - {\left(a + b\right)} x^{2}\right)} {\left(a - x\right)} {\left(b - x\right)}}{{\left(a^{2} b^{2} d - 2 \, {\left(a + b\right)} a b d x - 2 \, {\left(a + b\right)} d x^{3} + {\left(d - 1\right)} x^{4} + {\left(a^{2} + 4 \, a b + b^{2}\right)} d x^{2}\right)} \left({\left(a - x\right)} {\left(b - x\right)} x\right)^{\frac{2}{3}}}\,{d x}"," ",0,"-integrate((2*a*b*x - (a + b)*x^2)*(a - x)*(b - x)/((a^2*b^2*d - 2*(a + b)*a*b*d*x - 2*(a + b)*d*x^3 + (d - 1)*x^4 + (a^2 + 4*a*b + b^2)*d*x^2)*((a - x)*(b - x)*x)^(2/3)), x)","F",0
2847,0,0,0,0.000000," ","integrate((x^6+x^3+1)/(x^5+x^3)^(1/4)/(-x^6+1),x, algorithm=""maxima"")","-\int \frac{x^{6} + x^{3} + 1}{{\left(x^{6} - 1\right)} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"-integrate((x^6 + x^3 + 1)/((x^6 - 1)*(x^5 + x^3)^(1/4)), x)","F",0
2848,-2,0,0,0.000000," ","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=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(k-1>0)', see `assume?` for more details)Is k-1 positive, negative or zero?","F(-2)",0
2849,0,0,0,0.000000," ","integrate((x^8-2*x^4+1)/(x^4-1)^(1/4)/(2*x^8-2*x^4+1),x, algorithm=""maxima"")","\int \frac{x^{8} - 2 \, x^{4} + 1}{{\left(2 \, x^{8} - 2 \, x^{4} + 1\right)} {\left(x^{4} - 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((x^8 - 2*x^4 + 1)/((2*x^8 - 2*x^4 + 1)*(x^4 - 1)^(1/4)), x)","F",0
2850,0,0,0,0.000000," ","integrate((c+(a*x+(a^2*x^2+b)^(1/2))^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}}\,{d x}"," ",0,"integrate(sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b))), x)","F",0
2851,0,0,0,0.000000," ","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=""maxima"")","\int \frac{x^{3}}{{\left({\left(d - 1\right)} x^{4} - a^{4} + 4 \, a^{3} x - 6 \, a^{2} x^{2} + 4 \, a x^{3}\right)} \left(-{\left(a - x\right)} x^{2}\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(x^3/(((d - 1)*x^4 - a^4 + 4*a^3*x - 6*a^2*x^2 + 4*a*x^3)*(-(a - x)*x^2)^(1/3)), x)","F",0
2852,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{c + \sqrt{a x^{2} + \sqrt{a^{2} x^{2} - b} x}}}{\sqrt{a^{2} x^{2} - b}}\,{d x}"," ",0,"integrate(sqrt(c + sqrt(a*x^2 + sqrt(a^2*x^2 - b)*x))/sqrt(a^2*x^2 - b), x)","F",0
2853,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(2 \, a - b - c\right)} x^{2} + {\left(a b + a c - 2 \, b c\right)} a - 2 \, {\left(a^{2} - b c\right)} x}{\left(-{\left(a - x\right)} {\left(b - x\right)} {\left(c - x\right)}\right)^{\frac{2}{3}} {\left(a^{2} d + {\left(d - 1\right)} x^{2} - b c - {\left(2 \, a d - b - c\right)} x\right)}}\,{d x}"," ",0,"-integrate(((2*a - b - c)*x^2 + (a*b + a*c - 2*b*c)*a - 2*(a^2 - b*c)*x)/((-(a - x)*(b - x)*(c - x))^(2/3)*(a^2*d + (d - 1)*x^2 - b*c - (2*a*d - b - c)*x)), x)","F",0
2854,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(2 \, a b - {\left(a + b\right)} x\right)} x^{2}}{{\left({\left(d - 1\right)} x^{4} - a^{2} b^{2} + 2 \, {\left(a + b\right)} a b x + 2 \, {\left(a + b\right)} x^{3} - {\left(a^{2} + 4 \, a b + b^{2}\right)} x^{2}\right)} \left({\left(a - x\right)} {\left(b - x\right)} x\right)^{\frac{1}{3}}}\,{d x}"," ",0,"-integrate((2*a*b - (a + b)*x)*x^2/(((d - 1)*x^4 - a^2*b^2 + 2*(a + b)*a*b*x + 2*(a + b)*x^3 - (a^2 + 4*a*b + b^2)*x^2)*((a - x)*(b - x)*x)^(1/3)), x)","F",0
2855,0,0,0,0.000000," ","integrate((x^6+1)/(x^5+x^3)^(1/4)/(-x^6+1),x, algorithm=""maxima"")","-\int \frac{x^{6} + 1}{{\left(x^{6} - 1\right)} {\left(x^{5} + x^{3}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"-integrate((x^6 + 1)/((x^6 - 1)*(x^5 + x^3)^(1/4)), x)","F",0
2856,0,0,0,0.000000," ","integrate((a^16*x^16+b^16)/(a^4*x^4-b^4)^(1/2)/(a^16*x^16-b^16),x, algorithm=""maxima"")","\int \frac{a^{16} x^{16} + b^{16}}{{\left(a^{16} x^{16} - b^{16}\right)} \sqrt{a^{4} x^{4} - b^{4}}}\,{d x}"," ",0,"integrate((a^16*x^16 + b^16)/((a^16*x^16 - b^16)*sqrt(a^4*x^4 - b^4)), x)","F",0
2857,0,0,0,0.000000," ","integrate((a^3*x^3-b^2*x^2)^(1/3)/(a*x^2+b),x, algorithm=""maxima"")","\int \frac{{\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}}}{a x^{2} + b}\,{d x}"," ",0,"integrate((a^3*x^3 - b^2*x^2)^(1/3)/(a*x^2 + b), x)","F",0
2858,0,0,0,0.000000," ","integrate((a^3*x^3-b^2*x^2)^(1/3)/(a*x^2+b),x, algorithm=""maxima"")","\int \frac{{\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}}}{a x^{2} + b}\,{d x}"," ",0,"integrate((a^3*x^3 - b^2*x^2)^(1/3)/(a*x^2 + b), x)","F",0
2859,0,0,0,0.000000," ","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=""maxima"")","\int \frac{a^{8} x^{8} + b^{8} + x^{4}}{{\left(a^{8} x^{8} - b^{8}\right)} \sqrt{a^{4} x^{4} - b^{4}}}\,{d x}"," ",0,"integrate((a^8*x^8 + b^8 + x^4)/((a^8*x^8 - b^8)*sqrt(a^4*x^4 - b^4)), x)","F",0
2860,0,0,0,0.000000," ","integrate((a^3*x^3-b^2*x^2)^(1/3)/(a*x^2-b),x, algorithm=""maxima"")","\int \frac{{\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}}}{a x^{2} - b}\,{d x}"," ",0,"integrate((a^3*x^3 - b^2*x^2)^(1/3)/(a*x^2 - b), x)","F",0
2861,0,0,0,0.000000," ","integrate((a^3*x^3-b^2*x^2)^(1/3)/(a*x^2-b),x, algorithm=""maxima"")","\int \frac{{\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}}}{a x^{2} - b}\,{d x}"," ",0,"integrate((a^3*x^3 - b^2*x^2)^(1/3)/(a*x^2 - b), x)","F",0
2862,0,0,0,0.000000," ","integrate((-b+x)/((-a+x)*(-b+x)^2)^(2/3)/(a-b*d+(-1+d)*x),x, algorithm=""maxima"")","\int \frac{b - x}{\left(-{\left(a - x\right)} {\left(b - x\right)}^{2}\right)^{\frac{2}{3}} {\left(b d - {\left(d - 1\right)} x - a\right)}}\,{d x}"," ",0,"integrate((b - x)/((-(a - x)*(b - x)^2)^(2/3)*(b*d - (d - 1)*x - a)), x)","F",0
2863,0,0,0,0.000000," ","integrate((x^2-b)^(1/2)*(x^4+c)*(x+(x^2-b)^(1/2))^(1/2)/x,x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + c\right)} \sqrt{x^{2} - b} \sqrt{x + \sqrt{x^{2} - b}}}{x}\,{d x}"," ",0,"integrate((x^4 + c)*sqrt(x^2 - b)*sqrt(x + sqrt(x^2 - b))/x, x)","F",0
2864,0,0,0,0.000000," ","integrate(x^8/(a^4*x^4-b^4)^(1/2)/(a^16*x^16-b^16),x, algorithm=""maxima"")","\int \frac{x^{8}}{{\left(a^{16} x^{16} - b^{16}\right)} \sqrt{a^{4} x^{4} - b^{4}}}\,{d x}"," ",0,"integrate(x^8/((a^16*x^16 - b^16)*sqrt(a^4*x^4 - b^4)), x)","F",0
2865,0,0,0,0.000000," ","integrate(x^2/(a*x^2-b)/(x^3-x)^(1/3),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(a x^{2} - b\right)} {\left(x^{3} - x\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(x^2/((a*x^2 - b)*(x^3 - x)^(1/3)), x)","F",0
2866,0,0,0,0.000000," ","integrate((x^4+1)*(x+(x^2+1)^(1/2))^(1/2)/(x^4-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + 1\right)} \sqrt{x + \sqrt{x^{2} + 1}}}{x^{4} - 1}\,{d x}"," ",0,"integrate((x^4 + 1)*sqrt(x + sqrt(x^2 + 1))/(x^4 - 1), x)","F",0
2867,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a - x\right)} {\left(b - x\right)}}{\left(-{\left(a - x\right)} {\left(b - x\right)}^{2}\right)^{\frac{2}{3}} {\left(a^{2} d + {\left(d - 1\right)} x^{2} - b^{2} - 2 \, {\left(a d - b\right)} x\right)}}\,{d x}"," ",0,"integrate((a - x)*(b - x)/((-(a - x)*(b - x)^2)^(2/3)*(a^2*d + (d - 1)*x^2 - b^2 - 2*(a*d - b)*x)), x)","F",0
2868,0,0,0,0.000000," ","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=""maxima"")","\int \frac{a b - {\left(a + b\right)} x + x^{2}}{\left(-{\left(a - x\right)} {\left(b - x\right)}^{2}\right)^{\frac{2}{3}} {\left(a^{2} d + {\left(d - 1\right)} x^{2} - b^{2} - 2 \, {\left(a d - b\right)} x\right)}}\,{d x}"," ",0,"integrate((a*b - (a + b)*x + x^2)/((-(a - x)*(b - x)^2)^(2/3)*(a^2*d + (d - 1)*x^2 - b^2 - 2*(a*d - b)*x)), x)","F",0
2869,0,0,0,0.000000," ","integrate(x/(x^2-(a*x+b)^(1/2)*(c+(a*x+b)^(1/2))^(1/2)),x, algorithm=""maxima"")","\int \frac{x}{x^{2} - \sqrt{a x + b} \sqrt{c + \sqrt{a x + b}}}\,{d x}"," ",0,"integrate(x/(x^2 - sqrt(a*x + b)*sqrt(c + sqrt(a*x + b))), x)","F",0
2870,0,0,0,0.000000," ","integrate(x/(x^2-(a*x+b)^(1/2)*(c+(a*x+b)^(1/2))^(1/2)),x, algorithm=""maxima"")","\int \frac{x}{x^{2} - \sqrt{a x + b} \sqrt{c + \sqrt{a x + b}}}\,{d x}"," ",0,"integrate(x/(x^2 - sqrt(a*x + b)*sqrt(c + sqrt(a*x + b))), x)","F",0
2871,0,0,0,0.000000," ","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=""maxima"")","\int \frac{a b - 2 \, b x + x^{2}}{\left(-{\left(a - x\right)} {\left(b - x\right)}^{2} x\right)^{\frac{1}{3}} {\left(b d - {\left(a + d\right)} x + x^{2}\right)}}\,{d x}"," ",0,"integrate((a*b - 2*b*x + x^2)/((-(a - x)*(b - x)^2*x)^(1/3)*(b*d - (a + d)*x + x^2)), x)","F",0
2872,0,0,0,0.000000," ","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=""maxima"")","\int \frac{a b^{2} - {\left(4 \, a - b\right)} b x + 3 \, a x^{2} - x^{3}}{\left(-{\left(a - x\right)} {\left(b - x\right)}^{2} x\right)^{\frac{1}{3}} {\left(a^{2} d + {\left(2 \, b + d\right)} x^{2} - x^{3} - {\left(b^{2} + 2 \, a d\right)} x\right)}}\,{d x}"," ",0,"integrate((a*b^2 - (4*a - b)*b*x + 3*a*x^2 - x^3)/((-(a - x)*(b - x)^2*x)^(1/3)*(a^2*d + (2*b + d)*x^2 - x^3 - (b^2 + 2*a*d)*x)), x)","F",0
2873,1,301,0,1.187700," ","integrate((c*x^7-d)/x/(a*x^3-b)^(1/3),x, algorithm=""maxima"")","-\frac{1}{54} \, {\left(\frac{4 \, \sqrt{3} b^{2} \arctan\left(\frac{\sqrt{3} {\left(a^{\frac{1}{3}} + \frac{2 \, {\left(a x^{3} - b\right)}^{\frac{1}{3}}}{x}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{a^{\frac{7}{3}}} - \frac{2 \, b^{2} \log\left(a^{\frac{2}{3}} + \frac{{\left(a x^{3} - b\right)}^{\frac{1}{3}} a^{\frac{1}{3}}}{x} + \frac{{\left(a x^{3} - b\right)}^{\frac{2}{3}}}{x^{2}}\right)}{a^{\frac{7}{3}}} + \frac{4 \, b^{2} \log\left(-a^{\frac{1}{3}} + \frac{{\left(a x^{3} - b\right)}^{\frac{1}{3}}}{x}\right)}{a^{\frac{7}{3}}} - \frac{3 \, {\left(\frac{7 \, {\left(a x^{3} - b\right)}^{\frac{2}{3}} a b^{2}}{x^{2}} - \frac{4 \, {\left(a x^{3} - b\right)}^{\frac{5}{3}} b^{2}}{x^{5}}\right)}}{a^{4} - \frac{2 \, {\left(a x^{3} - b\right)} a^{3}}{x^{3}} + \frac{{\left(a x^{3} - b\right)}^{2} a^{2}}{x^{6}}}\right)} c - \frac{1}{6} \, {\left(\frac{2 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(a x^{3} - b\right)}^{\frac{1}{3}} - b^{\frac{1}{3}}\right)}}{3 \, b^{\frac{1}{3}}}\right)}{b^{\frac{1}{3}}} + \frac{\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)}{b^{\frac{1}{3}}} - \frac{2 \, \log\left({\left(a x^{3} - b\right)}^{\frac{1}{3}} + b^{\frac{1}{3}}\right)}{b^{\frac{1}{3}}}\right)} d"," ",0,"-1/54*(4*sqrt(3)*b^2*arctan(1/3*sqrt(3)*(a^(1/3) + 2*(a*x^3 - b)^(1/3)/x)/a^(1/3))/a^(7/3) - 2*b^2*log(a^(2/3) + (a*x^3 - b)^(1/3)*a^(1/3)/x + (a*x^3 - b)^(2/3)/x^2)/a^(7/3) + 4*b^2*log(-a^(1/3) + (a*x^3 - b)^(1/3)/x)/a^(7/3) - 3*(7*(a*x^3 - b)^(2/3)*a*b^2/x^2 - 4*(a*x^3 - b)^(5/3)*b^2/x^5)/(a^4 - 2*(a*x^3 - b)*a^3/x^3 + (a*x^3 - b)^2*a^2/x^6))*c - 1/6*(2*sqrt(3)*arctan(1/3*sqrt(3)*(2*(a*x^3 - b)^(1/3) - b^(1/3))/b^(1/3))/b^(1/3) + log((a*x^3 - b)^(2/3) - (a*x^3 - b)^(1/3)*b^(1/3) + b^(2/3))/b^(1/3) - 2*log((a*x^3 - b)^(1/3) + b^(1/3))/b^(1/3))*d","A",0
2874,0,0,0,0.000000," ","integrate((c+(a*x+b)^(1/2))^(1/2)/(x-(a*x+b)^(1/2)),x, algorithm=""maxima"")","\int \frac{\sqrt{c + \sqrt{a x + b}}}{x - \sqrt{a x + b}}\,{d x}"," ",0,"integrate(sqrt(c + sqrt(a*x + b))/(x - sqrt(a*x + b)), x)","F",0
2875,0,0,0,0.000000," ","integrate((1+x)/(1+2*x)/(x^5+9*x^4+28*x^3+36*x^2+27*x+27)^(1/3),x, algorithm=""maxima"")","\int \frac{x + 1}{{\left(x^{5} + 9 \, x^{4} + 28 \, x^{3} + 36 \, x^{2} + 27 \, x + 27\right)}^{\frac{1}{3}} {\left(2 \, x + 1\right)}}\,{d x}"," ",0,"integrate((x + 1)/((x^5 + 9*x^4 + 28*x^3 + 36*x^2 + 27*x + 27)^(1/3)*(2*x + 1)), x)","F",0
2876,0,0,0,0.000000," ","integrate((a*x^3-b*x)/(2*a*x^3-b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{a x^{3} - b x}{{\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(2 \, a x^{3} - b\right)}}\,{d x}"," ",0,"integrate((a*x^3 - b*x)/((a^3*x^3 + b^2*x^2)^(1/3)*(2*a*x^3 - b)), x)","F",0
2877,0,0,0,0.000000," ","integrate((a*x^3-b*x)/(2*a*x^3-b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{a x^{3} - b x}{{\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(2 \, a x^{3} - b\right)}}\,{d x}"," ",0,"integrate((a*x^3 - b*x)/((a^3*x^3 + b^2*x^2)^(1/3)*(2*a*x^3 - b)), x)","F",0
2878,0,0,0,0.000000," ","integrate((a*x^3+b*x)/(2*a*x^3+b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{a x^{3} + b x}{{\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(2 \, a x^{3} + b\right)}}\,{d x}"," ",0,"integrate((a*x^3 + b*x)/((a^3*x^3 + b^2*x^2)^(1/3)*(2*a*x^3 + b)), x)","F",0
2879,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(a b - {\left(2 \, a - b\right)} x\right)} {\left(b - x\right)} x}{{\left({\left(d - 1\right)} x^{4} - a^{4} + 4 \, a^{3} x - 2 \, {\left(b d - 2 \, a\right)} x^{3} + {\left(b^{2} d - 6 \, a^{2}\right)} x^{2}\right)} \left({\left(a - x\right)} {\left(b - x\right)} x\right)^{\frac{1}{3}}}\,{d x}"," ",0,"-integrate((a*b - (2*a - b)*x)*(b - x)*x/(((d - 1)*x^4 - a^4 + 4*a^3*x - 2*(b*d - 2*a)*x^3 + (b^2*d - 6*a^2)*x^2)*((a - x)*(b - x)*x)^(1/3)), x)","F",0
2880,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{a b + a c - 2 \, b c - {\left(2 \, a - b - c\right)} x}{\left(-{\left(a - x\right)} {\left(b - x\right)} {\left(c - x\right)}\right)^{\frac{1}{3}} {\left(a^{2} d + {\left(d - 1\right)} x^{2} - b c - {\left(2 \, a d - b - c\right)} x\right)}}\,{d x}"," ",0,"-integrate((a*b + a*c - 2*b*c - (2*a - b - c)*x)/((-(a - x)*(b - x)*(c - x))^(1/3)*(a^2*d + (d - 1)*x^2 - b*c - (2*a*d - b - c)*x)), x)","F",0
2881,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(a b - x^{2}\right)} x}{{\left(a^{2} b^{2} - 2 \, {\left(a + b\right)} a b x - 2 \, {\left(a + b\right)} x^{3} + x^{4} + {\left(a^{2} + 4 \, a b + b^{2} - d\right)} x^{2}\right)} \left({\left(a - x\right)} {\left(b - x\right)} x^{2}\right)^{\frac{1}{3}}}\,{d x}"," ",0,"-integrate((a*b - x^2)*x/((a^2*b^2 - 2*(a + b)*a*b*x - 2*(a + b)*x^3 + x^4 + (a^2 + 4*a*b + b^2 - d)*x^2)*((a - x)*(b - x)*x^2)^(1/3)), x)","F",0
2882,0,0,0,0.000000," ","integrate((a^6*x^6-b^6)/(a^2*x^3-b^2*x)^(1/2)/(a^6*x^6+b^6),x, algorithm=""maxima"")","\int \frac{a^{6} x^{6} - b^{6}}{{\left(a^{6} x^{6} + b^{6}\right)} \sqrt{a^{2} x^{3} - b^{2} x}}\,{d x}"," ",0,"integrate((a^6*x^6 - b^6)/((a^6*x^6 + b^6)*sqrt(a^2*x^3 - b^2*x)), x)","F",0
2883,0,0,0,0.000000," ","integrate((x^4+1)^(1/2)*(x^2+(x^4+1)^(1/2))^(1/2)/(x^4-1),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{4} + 1} \sqrt{x^{2} + \sqrt{x^{4} + 1}}}{x^{4} - 1}\,{d x}"," ",0,"integrate(sqrt(x^4 + 1)*sqrt(x^2 + sqrt(x^4 + 1))/(x^4 - 1), x)","F",0
2884,0,0,0,0.000000," ","integrate(x^4/(1-x*(x^2+1)^(1/2)*(x-(x^2+1)^(1/2))^(1/2)),x, algorithm=""maxima"")","-\int \frac{x^{4}}{\sqrt{x^{2} + 1} \sqrt{x - \sqrt{x^{2} + 1}} x - 1}\,{d x}"," ",0,"-integrate(x^4/(sqrt(x^2 + 1)*sqrt(x - sqrt(x^2 + 1))*x - 1), x)","F",0
2885,0,0,0,0.000000," ","integrate((x^2+(x^4+1)^(1/2))^(1/2)/(1+x)^2/(x^4+1)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{2} + \sqrt{x^{4} + 1}}}{\sqrt{x^{4} + 1} {\left(x + 1\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(x^2 + sqrt(x^4 + 1))/(sqrt(x^4 + 1)*(x + 1)^2), x)","F",0
2886,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a b - 2 \, b x + x^{2}\right)} {\left(b - x\right)}}{\left(-{\left(a - x\right)} {\left(b - x\right)}^{2} x\right)^{\frac{1}{3}} {\left(2 \, a x^{3} - x^{4} + b^{2} d - 2 \, b d x - {\left(a^{2} - d\right)} x^{2}\right)}}\,{d x}"," ",0,"integrate((a*b - 2*b*x + x^2)*(b - x)/((-(a - x)*(b - x)^2*x)^(1/3)*(2*a*x^3 - x^4 + b^2*d - 2*b*d*x - (a^2 - d)*x^2)), x)","F",0
2887,0,0,0,0.000000," ","integrate((a^8*x^8+b^8)/(a^4*x^4-b^4)^(1/2)/(a^8*x^8-b^8),x, algorithm=""maxima"")","\int \frac{a^{8} x^{8} + b^{8}}{{\left(a^{8} x^{8} - b^{8}\right)} \sqrt{a^{4} x^{4} - b^{4}}}\,{d x}"," ",0,"integrate((a^8*x^8 + b^8)/((a^8*x^8 - b^8)*sqrt(a^4*x^4 - b^4)), x)","F",0
2888,0,0,0,0.000000," ","integrate(1/(x^2-1)^(1/2)/(x^(1/2)+(x^2-1)^(1/2))^2,x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{2} - 1} {\left(\sqrt{x^{2} - 1} + \sqrt{x}\right)}^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(x^2 - 1)*(sqrt(x^2 - 1) + sqrt(x))^2), x)","F",0
2889,0,0,0,0.000000," ","integrate((a*x^2+b)/(c*x^2+d)/(x^3+x)^(1/3),x, algorithm=""maxima"")","\int \frac{a x^{2} + b}{{\left(c x^{2} + d\right)} {\left(x^{3} + x\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((a*x^2 + b)/((c*x^2 + d)*(x^3 + x)^(1/3)), x)","F",0
2890,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(4 \, a b - 3 \, {\left(a + b\right)} x + 2 \, x^{2}\right)} x^{3}}{{\left(d x^{4} - a b + {\left(a + b\right)} x - x^{2}\right)} \left({\left(a - x\right)} {\left(b - x\right)} x^{2}\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((4*a*b - 3*(a + b)*x + 2*x^2)*x^3/((d*x^4 - a*b + (a + b)*x - x^2)*((a - x)*(b - x)*x^2)^(2/3)), x)","F",0
2891,0,0,0,0.000000," ","integrate((a*x^3+b*x)/(2*a*x^3+b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{a x^{3} + b x}{{\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(2 \, a x^{3} + b\right)}}\,{d x}"," ",0,"integrate((a*x^3 + b*x)/((a^3*x^3 + b^2*x^2)^(1/3)*(2*a*x^3 + b)), x)","F",0
2892,0,0,0,0.000000," ","integrate(1/((-1+2*x)^(1/2)*(4+3*x)+(1+x)*(-3+4*x)^(1/2)),x, algorithm=""maxima"")","\int \frac{1}{{\left(3 \, x + 4\right)} \sqrt{2 \, x - 1} + \sqrt{4 \, x - 3} {\left(x + 1\right)}}\,{d x}"," ",0,"integrate(1/((3*x + 4)*sqrt(2*x - 1) + sqrt(4*x - 3)*(x + 1)), x)","F",0
2893,0,0,0,0.000000," ","integrate((e*x+f)/(g*x+h)/(d+(c+(a*x+b)^(1/2))^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{e x + f}{{\left(g x + h\right)} \sqrt{d + \sqrt{c + \sqrt{a x + b}}}}\,{d x}"," ",0,"integrate((e*x + f)/((g*x + h)*sqrt(d + sqrt(c + sqrt(a*x + b)))), x)","F",0
2894,0,0,0,0.000000," ","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=""maxima"")","\int {\left(x^{2} + 1\right)}^{\frac{3}{2}} \sqrt{x + \sqrt{x^{2} + 1}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\,{d x}"," ",0,"integrate((x^2 + 1)^(3/2)*sqrt(x + sqrt(x^2 + 1))*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1), x)","F",0
2895,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a^{3} - 3 \, a^{2} x + 3 \, a x^{2} - x^{3}\right)} {\left(a - 5 \, b + 4 \, x\right)}}{{\left(a^{5} d + 10 \, a^{3} d x^{2} - 10 \, a^{2} d x^{3} + 5 \, a d x^{4} - d x^{5} - {\left(5 \, a^{4} d - 1\right)} x - b\right)} \left({\left(a - x\right)} {\left(b - x\right)}\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((a^3 - 3*a^2*x + 3*a*x^2 - x^3)*(a - 5*b + 4*x)/((a^5*d + 10*a^3*d*x^2 - 10*a^2*d*x^3 + 5*a*d*x^4 - d*x^5 - (5*a^4*d - 1)*x - b)*((a - x)*(b - x))^(2/3)), x)","F",0
2896,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{6} - x^{4} - x^{3} - x\right)}^{\frac{1}{3}} {\left(3 \, x^{4} - 3 \, x^{3} + 2 \, x^{2} - 2 \, x + 2\right)}}{{\left(x^{5} - x^{3} - 1\right)} {\left(x^{3} - 2 \, x^{2} + 2 \, x - 1\right)} {\left(x + 1\right)}}\,{d x}"," ",0,"integrate((x^6 - x^4 - x^3 - x)^(1/3)*(3*x^4 - 3*x^3 + 2*x^2 - 2*x + 2)/((x^5 - x^3 - 1)*(x^3 - 2*x^2 + 2*x - 1)*(x + 1)), x)","F",0
2897,0,0,0,0.000000," ","integrate(1/(a*x-b)/(a^3*x^3-b^2*x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a x - b\right)}}\,{d x}"," ",0,"integrate(1/((a^3*x^3 - b^2*x^2)^(1/3)*(a*x - b)), x)","F",0
2898,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(4 \, a - b - 3 \, x\right)} {\left(b - x\right)}}{{\left(b^{4} + 6 \, b^{2} x^{2} - 4 \, b x^{3} + x^{4} + a d - {\left(4 \, b^{3} + d\right)} x\right)} \left(-{\left(a - x\right)} {\left(b - x\right)}^{2}\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((4*a - b - 3*x)*(b - x)/((b^4 + 6*b^2*x^2 - 4*b*x^3 + x^4 + a*d - (4*b^3 + d)*x)*(-(a - x)*(b - x)^2)^(1/3)), x)","F",0
2899,0,0,0,0.000000," ","integrate(x^4/(a^4*x^4-b^4)^(1/2)/(a^8*x^8-b^8),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(a^{8} x^{8} - b^{8}\right)} \sqrt{a^{4} x^{4} - b^{4}}}\,{d x}"," ",0,"integrate(x^4/((a^8*x^8 - b^8)*sqrt(a^4*x^4 - b^4)), x)","F",0
2900,0,0,0,0.000000," ","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=""maxima"")","\int \frac{1}{\sqrt{a^{2} x^{2} - b} \sqrt{a x + \sqrt{a^{2} x^{2} - b}} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/(sqrt(a^2*x^2 - b)*sqrt(a*x + sqrt(a^2*x^2 - b))*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3)), x)","F",0
2901,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(x^{2} + 1\right)}^{2}}{{\left(x^{4} + x^{2} - 1\right)} \sqrt{x^{4} + 1}}\,{d x}"," ",0,"integrate(sqrt(x^2 + sqrt(x^4 + 1))*(x^2 + 1)^2/((x^4 + x^2 - 1)*sqrt(x^4 + 1)), x)","F",0
2902,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(x^{2} + 1\right)}^{2}}{{\left(x^{4} + x^{2} - 1\right)} \sqrt{x^{4} + 1}}\,{d x}"," ",0,"integrate(sqrt(x^2 + sqrt(x^4 + 1))*(x^2 + 1)^2/((x^4 + x^2 - 1)*sqrt(x^4 + 1)), x)","F",0
2903,0,0,0,0.000000," ","integrate(x^2*(a*x^4+b*x^3)^(1/4)/(a*x^4-b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} x^{2}}{a x^{4} - b}\,{d x}"," ",0,"integrate((a*x^4 + b*x^3)^(1/4)*x^2/(a*x^4 - b), x)","F",0
2904,0,0,0,0.000000," ","integrate(x^2*(a*x^4+b*x^3)^(1/4)/(a*x^4-b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} x^{2}}{a x^{4} - b}\,{d x}"," ",0,"integrate((a*x^4 + b*x^3)^(1/4)*x^2/(a*x^4 - b), x)","F",0
2905,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{2} + 1\right)} \sqrt{x + \sqrt{x^{2} + 1}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{{\left(x^{2} - 1\right)}^{2}}\,{d x}"," ",0,"integrate((x^2 + 1)*sqrt(x + sqrt(x^2 + 1))*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/(x^2 - 1)^2, x)","F",0
2906,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{2} + 1\right)} \sqrt{x + \sqrt{x^{2} + 1}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{{\left(x^{2} - 1\right)}^{2}}\,{d x}"," ",0,"integrate((x^2 + 1)*sqrt(x + sqrt(x^2 + 1))*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/(x^2 - 1)^2, x)","F",0
2907,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(2 \, a b - 3 \, a x + x^{2}\right)} {\left(b - x\right)} x^{3}}{{\left(2 \, b d x^{5} - d x^{6} - {\left(b^{2} d - 1\right)} x^{4} + a^{4} - 4 \, a^{3} x + 6 \, a^{2} x^{2} - 4 \, a x^{3}\right)} \left({\left(a - x\right)} {\left(b - x\right)} x^{2}\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((2*a*b - 3*a*x + x^2)*(b - x)*x^3/((2*b*d*x^5 - d*x^6 - (b^2*d - 1)*x^4 + a^4 - 4*a^3*x + 6*a^2*x^2 - 4*a*x^3)*((a - x)*(b - x)*x^2)^(1/3)), x)","F",0
2908,0,0,0,0.000000," ","integrate((x^3+1)^(2/3)*(x^6-1)/x^6/(2*x^6-2*x^3-1),x, algorithm=""maxima"")","\int \frac{{\left(x^{6} - 1\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{{\left(2 \, x^{6} - 2 \, x^{3} - 1\right)} x^{6}}\,{d x}"," ",0,"integrate((x^6 - 1)*(x^3 + 1)^(2/3)/((2*x^6 - 2*x^3 - 1)*x^6), x)","F",0
2909,0,0,0,0.000000," ","integrate((x^4+1)/(x^4-1)/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{x^{4} + 1}{{\left(x^{4} - 1\right)} \sqrt{x + \sqrt{x^{2} + 1}}}\,{d x}"," ",0,"integrate((x^4 + 1)/((x^4 - 1)*sqrt(x + sqrt(x^2 + 1))), x)","F",0
2910,0,0,0,0.000000," ","integrate((2*a*x+b)*(a*x^4+b*x^3)^(1/4)/(a*x+x^2-b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} {\left(2 \, a x + b\right)}}{a x + x^{2} - b}\,{d x}"," ",0,"integrate((a*x^4 + b*x^3)^(1/4)*(2*a*x + b)/(a*x + x^2 - b), x)","F",0
2911,0,0,0,0.000000," ","integrate((2*a*x+b)*(a*x^4+b*x^3)^(1/4)/(a*x+x^2-b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} {\left(2 \, a x + b\right)}}{a x + x^{2} - b}\,{d x}"," ",0,"integrate((a*x^4 + b*x^3)^(1/4)*(2*a*x + b)/(a*x + x^2 - b), x)","F",0
2912,0,0,0,0.000000," ","integrate(x^3/(x^4-x^2)^(1/3)/(x^6+1),x, algorithm=""maxima"")","\int \frac{x^{3}}{{\left(x^{6} + 1\right)} {\left(x^{4} - x^{2}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(x^3/((x^6 + 1)*(x^4 - x^2)^(1/3)), x)","F",0
2913,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{a^{2} x^{2} + b} x^{4}}{x^{2} - \sqrt{a x - \sqrt{a^{2} x^{2} + b}}}\,{d x}"," ",0,"integrate(sqrt(a^2*x^2 + b)*x^4/(x^2 - sqrt(a*x - sqrt(a^2*x^2 + b))), x)","F",0
2914,1,487,0,1.653065," ","integrate((x^2-1)/((a*x+b)/(c*x+d))^(1/4),x, algorithm=""maxima"")","\frac{3 \, {\left(3 \, a^{2} b c^{3} d^{2} + 7 \, a^{3} c^{2} d^{3} + {\left(32 \, a^{2} b - 15 \, b^{3}\right)} c^{5} - {\left(32 \, a^{3} - 5 \, a b^{2}\right)} c^{4} d\right)} \left(\frac{a x + b}{c x + d}\right)^{\frac{11}{4}} - 6 \, {\left(17 \, a^{3} b c^{2} d^{2} - 3 \, a^{4} c d^{3} + {\left(32 \, a^{3} b - 21 \, a b^{3}\right)} c^{4} - {\left(32 \, a^{4} - 7 \, a^{2} b^{2}\right)} c^{3} d\right)} \left(\frac{a x + b}{c x + d}\right)^{\frac{7}{4}} - {\left(3 \, a^{4} b c d^{2} + 7 \, a^{5} d^{3} - {\left(96 \, a^{4} b - 113 \, a^{2} b^{3}\right)} c^{3} + 3 \, {\left(32 \, a^{5} - 41 \, a^{3} b^{2}\right)} c^{2} d\right)} \left(\frac{a x + b}{c x + d}\right)^{\frac{3}{4}}}{96 \, {\left(a^{6} c^{2} - \frac{3 \, {\left(a x + b\right)} a^{5} c^{3}}{c x + d} + \frac{3 \, {\left(a x + b\right)}^{2} a^{4} c^{4}}{{\left(c x + d\right)}^{2}} - \frac{{\left(a x + b\right)}^{3} a^{3} c^{5}}{{\left(c x + d\right)}^{3}}\right)}} - \frac{{\left(3 \, a^{2} b c d^{2} + 7 \, a^{3} d^{3} + {\left(32 \, a^{2} b - 15 \, b^{3}\right)} c^{3} - {\left(32 \, a^{3} - 5 \, a b^{2}\right)} c^{2} d\right)} {\left(\frac{2 \, \arctan\left(\frac{\sqrt{c} \left(\frac{a x + b}{c x + d}\right)^{\frac{1}{4}}}{\sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{\log\left(\frac{\sqrt{c} \left(\frac{a x + b}{c x + d}\right)^{\frac{1}{4}} - \sqrt{\sqrt{a} \sqrt{c}}}{\sqrt{c} \left(\frac{a x + b}{c x + d}\right)^{\frac{1}{4}} + \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}}\right)}}{128 \, a^{3} c^{2}}"," ",0,"1/96*(3*(3*a^2*b*c^3*d^2 + 7*a^3*c^2*d^3 + (32*a^2*b - 15*b^3)*c^5 - (32*a^3 - 5*a*b^2)*c^4*d)*((a*x + b)/(c*x + d))^(11/4) - 6*(17*a^3*b*c^2*d^2 - 3*a^4*c*d^3 + (32*a^3*b - 21*a*b^3)*c^4 - (32*a^4 - 7*a^2*b^2)*c^3*d)*((a*x + b)/(c*x + d))^(7/4) - (3*a^4*b*c*d^2 + 7*a^5*d^3 - (96*a^4*b - 113*a^2*b^3)*c^3 + 3*(32*a^5 - 41*a^3*b^2)*c^2*d)*((a*x + b)/(c*x + d))^(3/4))/(a^6*c^2 - 3*(a*x + b)*a^5*c^3/(c*x + d) + 3*(a*x + b)^2*a^4*c^4/(c*x + d)^2 - (a*x + b)^3*a^3*c^5/(c*x + d)^3) - 1/128*(3*a^2*b*c*d^2 + 7*a^3*d^3 + (32*a^2*b - 15*b^3)*c^3 - (32*a^3 - 5*a*b^2)*c^2*d)*(2*arctan(sqrt(c)*((a*x + b)/(c*x + d))^(1/4)/sqrt(sqrt(a)*sqrt(c)))/(sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + log((sqrt(c)*((a*x + b)/(c*x + d))^(1/4) - sqrt(sqrt(a)*sqrt(c)))/(sqrt(c)*((a*x + b)/(c*x + d))^(1/4) + sqrt(sqrt(a)*sqrt(c))))/(sqrt(sqrt(a)*sqrt(c))*sqrt(c)))/(a^3*c^2)","A",0
2915,0,0,0,0.000000," ","integrate((a*x^4-b)/(a*x^4+b)^(1/2)/(a*x^4-c^2*x^2+b),x, algorithm=""maxima"")","\int \frac{a x^{4} - b}{{\left(a x^{4} - c^{2} x^{2} + b\right)} \sqrt{a x^{4} + b}}\,{d x}"," ",0,"integrate((a*x^4 - b)/((a*x^4 - c^2*x^2 + b)*sqrt(a*x^4 + b)), x)","F",0
2916,0,0,0,0.000000," ","integrate((x^2+1)*(x^6+x^4-x^2-1)^(1/3)/x,x, algorithm=""maxima"")","\int \frac{{\left(x^{6} + x^{4} - x^{2} - 1\right)}^{\frac{1}{3}} {\left(x^{2} + 1\right)}}{x}\,{d x}"," ",0,"integrate((x^6 + x^4 - x^2 - 1)^(1/3)*(x^2 + 1)/x, x)","F",0
2917,0,0,0,0.000000," ","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=""maxima"")","\int {\left(a x^{2} + \sqrt{\frac{a^{2} x^{2}}{b^{2}} - \frac{a}{b^{2}}} b x\right)}^{\frac{1}{3}} \sqrt{\frac{a^{2} x^{2}}{b^{2}} - \frac{a}{b^{2}}}\,{d x}"," ",0,"integrate((a*x^2 + sqrt(a^2*x^2/b^2 - a/b^2)*b*x)^(1/3)*sqrt(a^2*x^2/b^2 - a/b^2), x)","F",0
2918,0,0,0,0.000000," ","integrate((a*x^2-b)/(c*x^2-d)/(x^3-x)^(1/3),x, algorithm=""maxima"")","\int \frac{a x^{2} - b}{{\left(c x^{2} - d\right)} {\left(x^{3} - x\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((a*x^2 - b)/((c*x^2 - d)*(x^3 - x)^(1/3)), x)","F",0
2919,0,0,0,0.000000," ","integrate(1/(a*x+b)/(a^3*x^3-b^3)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(a^{3} x^{3} - b^{3}\right)}^{\frac{1}{3}} {\left(a x + b\right)}}\,{d x}"," ",0,"integrate(1/((a^3*x^3 - b^3)^(1/3)*(a*x + b)), x)","F",0
2920,0,0,0,0.000000," ","integrate((a^12*x^12-b^12)/(a^4*x^4+b^4)^(1/2)/(a^12*x^12+b^12),x, algorithm=""maxima"")","\int \frac{a^{12} x^{12} - b^{12}}{{\left(a^{12} x^{12} + b^{12}\right)} \sqrt{a^{4} x^{4} + b^{4}}}\,{d x}"," ",0,"integrate((a^12*x^12 - b^12)/((a^12*x^12 + b^12)*sqrt(a^4*x^4 + b^4)), x)","F",0
2921,-2,0,0,0.000000," ","integrate((a*x^2+b*x+c)^(5/2)/(b*x+c),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
2922,0,0,0,0.000000," ","integrate((x^4-a*x^2-b)*(a*x^4+b*x^2)^(1/4)/(a*x^4+b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} - a x^{2} - b\right)}}{a x^{4} + b}\,{d x}"," ",0,"integrate((a*x^4 + b*x^2)^(1/4)*(x^4 - a*x^2 - b)/(a*x^4 + b), x)","F",0
2923,0,0,0,0.000000," ","integrate((x^4-a*x^2-b)*(a*x^4+b*x^2)^(1/4)/(a*x^4+b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} + b x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} - a x^{2} - b\right)}}{a x^{4} + b}\,{d x}"," ",0,"integrate((a*x^4 + b*x^2)^(1/4)*(x^4 - a*x^2 - b)/(a*x^4 + b), x)","F",0
2924,0,0,0,0.000000," ","integrate((1+x)^(1/2)*(x^2-1)/(x^2+1)/(x+(1+x)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(x^{2} - 1\right)} \sqrt{x + 1}}{{\left(x^{2} + 1\right)} \sqrt{x + \sqrt{x + 1}}}\,{d x}"," ",0,"integrate((x^2 - 1)*sqrt(x + 1)/((x^2 + 1)*sqrt(x + sqrt(x + 1))), x)","F",0
2925,0,0,0,0.000000," ","integrate((1+x)^(1/2)*(x^2-1)/(x^2+1)/(x+(1+x)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(x^{2} - 1\right)} \sqrt{x + 1}}{{\left(x^{2} + 1\right)} \sqrt{x + \sqrt{x + 1}}}\,{d x}"," ",0,"integrate((x^2 - 1)*sqrt(x + 1)/((x^2 + 1)*sqrt(x + sqrt(x + 1))), x)","F",0
2926,0,0,0,0.000000," ","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=""maxima"")","-x^{2} - \int -\frac{256 \, x^{16} - 128 \, x^{15} + 1024 \, x^{14} - 448 \, x^{13} + 1792 \, x^{12} - 640 \, x^{11} + 1824 \, x^{10} - 496 \, x^{9} + 1188 \, x^{8} - 234 \, x^{7} + 508 \, x^{6} - 69 \, x^{5} + 142 \, x^{4} - 12 \, x^{3} + 24 \, x^{2} - x + 2}{384 \, x^{15} + 1344 \, x^{13} + 2176 \, x^{11} + 2000 \, x^{9} + 1086 \, x^{7} + 335 \, x^{5} + 52 \, x^{3} - {\left(256 \, x^{16} + 1024 \, x^{14} + 1984 \, x^{12} + 2272 \, x^{10} + 1636 \, x^{8} + 724 \, x^{6} + 181 \, x^{4} + 22 \, x^{2} + 1\right)} \sqrt{2 \, x^{2} + 1} + 3 \, x}\,{d x} + \frac{2}{3} \, \int \frac{8 \, x^{5} + 14 \, x^{3} - 3 \, x^{2} + 8 \, x}{8 \, x^{6} + 12 \, x^{4} + 9 \, x^{2} + 1}\,{d x} + \frac{1}{6} \, \log\left(2 \, x^{2} + 1\right) - 2 \, \log\left(x\right)"," ",0,"-x^2 - integrate(-(256*x^16 - 128*x^15 + 1024*x^14 - 448*x^13 + 1792*x^12 - 640*x^11 + 1824*x^10 - 496*x^9 + 1188*x^8 - 234*x^7 + 508*x^6 - 69*x^5 + 142*x^4 - 12*x^3 + 24*x^2 - x + 2)/(384*x^15 + 1344*x^13 + 2176*x^11 + 2000*x^9 + 1086*x^7 + 335*x^5 + 52*x^3 - (256*x^16 + 1024*x^14 + 1984*x^12 + 2272*x^10 + 1636*x^8 + 724*x^6 + 181*x^4 + 22*x^2 + 1)*sqrt(2*x^2 + 1) + 3*x), x) + 2/3*integrate((8*x^5 + 14*x^3 - 3*x^2 + 8*x)/(8*x^6 + 12*x^4 + 9*x^2 + 1), x) + 1/6*log(2*x^2 + 1) - 2*log(x)","F",0
2927,0,0,0,0.000000," ","integrate((x^3-b)*(x^3+b)*(x^3-c)/(a*x^2+x^3)^(1/3),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} + b\right)} {\left(x^{3} - b\right)} {\left(x^{3} - c\right)}}{{\left(a x^{2} + x^{3}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((x^3 + b)*(x^3 - b)*(x^3 - c)/(a*x^2 + x^3)^(1/3), x)","F",0
2928,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(a b - 2 \, b x + x^{2}\right)} {\left(a - x\right)} {\left(b - x\right)} x}{{\left(2 \, a d x^{3} - d x^{4} - {\left(a^{2} d - 1\right)} x^{2} + b^{2} - 2 \, b x\right)} \left(-{\left(a - x\right)} {\left(b - x\right)}^{2} x\right)^{\frac{2}{3}}}\,{d x}"," ",0,"-integrate((a*b - 2*b*x + x^2)*(a - x)*(b - x)*x/((2*a*d*x^3 - d*x^4 - (a^2*d - 1)*x^2 + b^2 - 2*b*x)*(-(a - x)*(b - x)^2*x)^(2/3)), x)","F",0
2929,0,0,0,0.000000," ","integrate((x^4-a*x^2-b)*(a*x^4-b*x^2)^(1/4)/(a*x^4+b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} - a x^{2} - b\right)}}{a x^{4} + b}\,{d x}"," ",0,"integrate((a*x^4 - b*x^2)^(1/4)*(x^4 - a*x^2 - b)/(a*x^4 + b), x)","F",0
2930,0,0,0,0.000000," ","integrate((x^4-a*x^2-b)*(a*x^4-b*x^2)^(1/4)/(a*x^4+b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} - a x^{2} - b\right)}}{a x^{4} + b}\,{d x}"," ",0,"integrate((a*x^4 - b*x^2)^(1/4)*(x^4 - a*x^2 - b)/(a*x^4 + b), x)","F",0
2931,0,0,0,0.000000," ","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=""maxima"")","\int \frac{a^{2} x^{2} + a b c - b^{2} x}{\sqrt{a x^{2} + b x + c} {\left(b x^{2} + c\right)}}\,{d x}"," ",0,"integrate((a^2*x^2 + a*b*c - b^2*x)/(sqrt(a*x^2 + b*x + c)*(b*x^2 + c)), x)","F",0
2932,0,0,0,0.000000," ","integrate((x^4+a*x^2+b)*(a*x^4-b*x^2)^(1/4)/(a*x^4-b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} + a x^{2} + b\right)}}{a x^{4} - b}\,{d x}"," ",0,"integrate((a*x^4 - b*x^2)^(1/4)*(x^4 + a*x^2 + b)/(a*x^4 - b), x)","F",0
2933,0,0,0,0.000000," ","integrate((x^4+a*x^2+b)*(a*x^4-b*x^2)^(1/4)/(a*x^4-b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} + a x^{2} + b\right)}}{a x^{4} - b}\,{d x}"," ",0,"integrate((a*x^4 - b*x^2)^(1/4)*(x^4 + a*x^2 + b)/(a*x^4 - b), x)","F",0
2934,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left({\left(2 \, k - 1\right)} x - 1\right)} {\left(x^{2} - 2 \, x + 1\right)}}{{\left({\left(k^{2} - b\right)} x^{4} + 2 \, {\left(2 \, b - k\right)} x^{3} - {\left(6 \, b - 1\right)} x^{2} + 4 \, b x - b\right)} \left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(((2*k - 1)*x - 1)*(x^2 - 2*x + 1)/(((k^2 - b)*x^4 + 2*(2*b - k)*x^3 - (6*b - 1)*x^2 + 4*b*x - b)*((k*x - 1)*(x - 1)*x)^(1/3)), x)","F",0
2935,0,0,0,0.000000," ","integrate(1/(a*x+b)/(a^2*x^3+b^2*x)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(a^{2} x^{3} + b^{2} x\right)}^{\frac{1}{4}} {\left(a x + b\right)}}\,{d x}"," ",0,"integrate(1/((a^2*x^3 + b^2*x)^(1/4)*(a*x + b)), x)","F",0
2936,0,0,0,0.000000," ","integrate((a*x^4-b)*(a*x^4-b*x^2)^(1/4)/(x^4-a*x^2-b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{4} - b\right)}}{x^{4} - a x^{2} - b}\,{d x}"," ",0,"integrate((a*x^4 - b*x^2)^(1/4)*(a*x^4 - b)/(x^4 - a*x^2 - b), x)","F",0
2937,0,0,0,0.000000," ","integrate((a*x^4-b)*(a*x^4-b*x^2)^(1/4)/(x^4-a*x^2-b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} - b x^{2}\right)}^{\frac{1}{4}} {\left(a x^{4} - b\right)}}{x^{4} - a x^{2} - b}\,{d x}"," ",0,"integrate((a*x^4 - b*x^2)^(1/4)*(a*x^4 - b)/(x^4 - a*x^2 - b), x)","F",0
2938,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(4 \, a - b - 3 \, x\right)} {\left(b - x\right)}}{{\left(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)} \left(-{\left(a - x\right)} {\left(b - x\right)}^{2}\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((4*a - b - 3*x)*(b - x)/((b^4*d + 6*b^2*d*x^2 - 4*b*d*x^3 + d*x^4 - (4*b^3*d + 1)*x + a)*(-(a - x)*(b - x)^2)^(1/3)), x)","F",0
2939,0,0,0,0.000000," ","integrate((c*x^2+d)*(a*x+(a^2*x^2+b^2)^(1/2))^(1/2)/(e*x^2+f),x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + d\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}}{e x^{2} + f}\,{d x}"," ",0,"integrate((c*x^2 + d)*sqrt(a*x + sqrt(a^2*x^2 + b^2))/(e*x^2 + f), x)","F",0
2940,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(x^{2} + 1\right)}}{{\left(x^{4} + x^{2} - 1\right)} \sqrt{x^{4} + 1}}\,{d x}"," ",0,"integrate(sqrt(x^2 + sqrt(x^4 + 1))*(x^2 + 1)/((x^4 + x^2 - 1)*sqrt(x^4 + 1)), x)","F",0
2941,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(x^{2} + 1\right)}}{{\left(x^{4} + x^{2} - 1\right)} \sqrt{x^{4} + 1}}\,{d x}"," ",0,"integrate(sqrt(x^2 + sqrt(x^4 + 1))*(x^2 + 1)/((x^4 + x^2 - 1)*sqrt(x^4 + 1)), x)","F",0
2942,0,0,0,0.000000," ","integrate((-x^4+1)/(x^4+x^2+1)/(x^5-x^3)^(1/4),x, algorithm=""maxima"")","-\int \frac{x^{4} - 1}{{\left(x^{5} - x^{3}\right)}^{\frac{1}{4}} {\left(x^{4} + x^{2} + 1\right)}}\,{d x}"," ",0,"-integrate((x^4 - 1)/((x^5 - x^3)^(1/4)*(x^4 + x^2 + 1)), x)","F",0
2943,0,0,0,0.000000," ","integrate((a^2*x^2-b)^(1/2)/(a*x^2+x*(a^2*x^2-b)^(1/2))^(1/3),x, algorithm=""maxima"")","\int \frac{\sqrt{a^{2} x^{2} - b}}{{\left(a x^{2} + \sqrt{a^{2} x^{2} - b} x\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(sqrt(a^2*x^2 - b)/(a*x^2 + sqrt(a^2*x^2 - b)*x)^(1/3), x)","F",0
2944,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a^{2} x^{2} + b\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}{\sqrt{a^{2} x^{4} + b} {\left(a^{2} x^{2} - b\right)}}\,{d x}"," ",0,"integrate((a^2*x^2 + b)*sqrt(a*x^2 + sqrt(a^2*x^4 + b))/(sqrt(a^2*x^4 + b)*(a^2*x^2 - b)), x)","F",0
2945,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a^{2} x^{2} + b\right)} \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}{\sqrt{a^{2} x^{4} + b} {\left(a^{2} x^{2} - b\right)}}\,{d x}"," ",0,"integrate((a^2*x^2 + b)*sqrt(a*x^2 + sqrt(a^2*x^4 + b))/(sqrt(a^2*x^4 + b)*(a^2*x^2 - b)), x)","F",0
2946,0,0,0,0.000000," ","integrate(x^3/(a*x^4+b*x^3+c*x^2+b*x+a)^(1/2)/(-x^6+1),x, algorithm=""maxima"")","-\int \frac{x^{3}}{{\left(x^{6} - 1\right)} \sqrt{a x^{4} + b x^{3} + c x^{2} + b x + a}}\,{d x}"," ",0,"-integrate(x^3/((x^6 - 1)*sqrt(a*x^4 + b*x^3 + c*x^2 + b*x + a)), x)","F",0
2947,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{p^{2} x^{6} + 2 \, p q x^{3} - 2 \, p q x^{2} + q^{2}} {\left({\left(p x^{3} + q\right)}^{6} a + b x^{6}\right)} {\left(2 \, p x^{3} - q\right)}}{x^{9}}\,{d x}"," ",0,"integrate(sqrt(p^2*x^6 + 2*p*q*x^3 - 2*p*q*x^2 + q^2)*((p*x^3 + q)^6*a + b*x^6)*(2*p*x^3 - q)/x^9, x)","F",0
2948,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(b x^{12} + {\left(p x^{3} + q\right)}^{6} a\right)} \sqrt{p^{2} x^{6} - 2 \, p q x^{4} + 2 \, p q x^{3} + q^{2}} {\left(p x^{3} - 2 \, q\right)}}{x^{17}}\,{d x}"," ",0,"integrate((b*x^12 + (p*x^3 + q)^6*a)*sqrt(p^2*x^6 - 2*p*q*x^4 + 2*p*q*x^3 + q^2)*(p*x^3 - 2*q)/x^17, x)","F",0
2949,0,0,0,0.000000," ","integrate((p*x^4-q)*(p*x^4+q)^(1/2)/(b*x^4+a*(p*x^4+q)^2),x, algorithm=""maxima"")","\int \frac{\sqrt{p x^{4} + q} {\left(p x^{4} - q\right)}}{b x^{4} + {\left(p x^{4} + q\right)}^{2} a}\,{d x}"," ",0,"integrate(sqrt(p*x^4 + q)*(p*x^4 - q)/(b*x^4 + (p*x^4 + q)^2*a), x)","F",0
2950,0,0,0,0.000000," ","integrate((a*x-3*b)/(-a^2*x^2+b^2)^(1/3)/(a^2*x^2+3*b^2),x, algorithm=""maxima"")","\int \frac{a x - 3 \, b}{{\left(a^{2} x^{2} + 3 \, b^{2}\right)} {\left(-a^{2} x^{2} + b^{2}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((a*x - 3*b)/((a^2*x^2 + 3*b^2)*(-a^2*x^2 + b^2)^(1/3)), x)","F",0
2951,0,0,0,0.000000," ","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=""maxima"")","\frac{1}{4} \, x^{2} - \frac{1}{2} \, x + \int -\frac{2 \, x^{6} + 7 \, x^{5} + 13 \, x^{4} + 15 \, x^{3} + 11 \, x^{2} + 4 \, x}{2 \, {\left(2 \, x^{5} + 5 \, x^{4} + 8 \, x^{3} + 7 \, x^{2} - 2 \, {\left(x^{2} + x + 1\right)} \sqrt{2 \, x + 1} + 4 \, x + 2\right)}}\,{d x}"," ",0,"1/4*x^2 - 1/2*x + integrate(-1/2*(2*x^6 + 7*x^5 + 13*x^4 + 15*x^3 + 11*x^2 + 4*x)/(2*x^5 + 5*x^4 + 8*x^3 + 7*x^2 - 2*(x^2 + x + 1)*sqrt(2*x + 1) + 4*x + 2), x)","F",0
2952,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(4 \, a b - 3 \, {\left(a + b\right)} x + 2 \, x^{2}\right)} x^{3}}{\left({\left(a - x\right)} {\left(b - x\right)} x^{2}\right)^{\frac{2}{3}} {\left(x^{4} - a b d + {\left(a + b\right)} d x - d x^{2}\right)}}\,{d x}"," ",0,"integrate((4*a*b - 3*(a + b)*x + 2*x^2)*x^3/(((a - x)*(b - x)*x^2)^(2/3)*(x^4 - a*b*d + (a + b)*d*x - d*x^2)), x)","F",0
2953,0,0,0,0.000000," ","integrate(x^3/(x^4+x^2)^(1/3)/(x^6-1),x, algorithm=""maxima"")","\int \frac{x^{3}}{{\left(x^{6} - 1\right)} {\left(x^{4} + x^{2}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(x^3/((x^6 - 1)*(x^4 + x^2)^(1/3)), x)","F",0
2954,0,0,0,0.000000," ","integrate((1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^2+1)^2/(x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{\sqrt{x^{2} + 1} {\left(x^{2} - 1\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/(sqrt(x^2 + 1)*(x^2 - 1)^2), x)","F",0
2955,0,0,0,0.000000," ","integrate((1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^2+1)^2/(x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{\sqrt{x^{2} + 1} {\left(x^{2} - 1\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/(sqrt(x^2 + 1)*(x^2 - 1)^2), x)","F",0
2956,0,0,0,0.000000," ","integrate((x^2+1)^(1/2)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^2+1)^2,x, algorithm=""maxima"")","\int \frac{\sqrt{x^{2} + 1} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{{\left(x^{2} - 1\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(x^2 + 1)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/(x^2 - 1)^2, x)","F",0
2957,0,0,0,0.000000," ","integrate((x^2+1)^(1/2)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^2+1)^2,x, algorithm=""maxima"")","\int \frac{\sqrt{x^{2} + 1} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{{\left(x^{2} - 1\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(x^2 + 1)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/(x^2 - 1)^2, x)","F",0
2958,0,0,0,0.000000," ","integrate((x^2+1)^(1/2)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^2+1)^2,x, algorithm=""maxima"")","\int \frac{\sqrt{x^{2} + 1} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{{\left(x^{2} - 1\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(x^2 + 1)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/(x^2 - 1)^2, x)","F",0
2959,-2,0,0,0.000000," ","integrate((a*x^2+b*x+c)^(5/2)/(b*x+c)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
2960,0,0,0,0.000000," ","integrate((x^4+1)^2/(x^4-1)^2/(x^2+(x^4+1)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + 1\right)}^{2}}{{\left(x^{4} - 1\right)}^{2} \sqrt{x^{2} + \sqrt{x^{4} + 1}}}\,{d x}"," ",0,"integrate((x^4 + 1)^2/((x^4 - 1)^2*sqrt(x^2 + sqrt(x^4 + 1))), x)","F",0
2961,0,0,0,0.000000," ","integrate((a*x+(a*x-b)^(1/2))^(1/2)/(1+(a*x-b)^(1/2)),x, algorithm=""maxima"")","\int \frac{\sqrt{a x + \sqrt{a x - b}}}{\sqrt{a x - b} + 1}\,{d x}"," ",0,"integrate(sqrt(a*x + sqrt(a*x - b))/(sqrt(a*x - b) + 1), x)","F",0
2962,0,0,0,0.000000," ","integrate((a*x^2+b*x)*(a*x^4+b*x^3)^(1/4)/(a*x+x^2-b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} {\left(a x^{2} + b x\right)}}{a x + x^{2} - b}\,{d x}"," ",0,"integrate((a*x^4 + b*x^3)^(1/4)*(a*x^2 + b*x)/(a*x + x^2 - b), x)","F",0
2963,0,0,0,0.000000," ","integrate((a*x^2+b*x)*(a*x^4+b*x^3)^(1/4)/(a*x+x^2-b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} + b x^{3}\right)}^{\frac{1}{4}} {\left(a x^{2} + b x\right)}}{a x + x^{2} - b}\,{d x}"," ",0,"integrate((a*x^4 + b*x^3)^(1/4)*(a*x^2 + b*x)/(a*x + x^2 - b), x)","F",0
2964,0,0,0,0.000000," ","integrate((a^10*x^10-b^10)/(a^4*x^4+b^4)^(1/2)/(a^10*x^10+b^10),x, algorithm=""maxima"")","\int \frac{a^{10} x^{10} - b^{10}}{{\left(a^{10} x^{10} + b^{10}\right)} \sqrt{a^{4} x^{4} + b^{4}}}\,{d x}"," ",0,"integrate((a^10*x^10 - b^10)/((a^10*x^10 + b^10)*sqrt(a^4*x^4 + b^4)), x)","F",0
2965,0,0,0,0.000000," ","integrate((a^10*x^10-b^10)/(a^4*x^4+b^4)^(1/2)/(a^10*x^10+b^10),x, algorithm=""maxima"")","\int \frac{a^{10} x^{10} - b^{10}}{{\left(a^{10} x^{10} + b^{10}\right)} \sqrt{a^{4} x^{4} + b^{4}}}\,{d x}"," ",0,"integrate((a^10*x^10 - b^10)/((a^10*x^10 + b^10)*sqrt(a^4*x^4 + b^4)), x)","F",0
2966,0,0,0,0.000000," ","integrate((a*x^2+b)*(x^3+x)^(1/3)/(c*x^2+d),x, algorithm=""maxima"")","\int \frac{{\left(a x^{2} + b\right)} {\left(x^{3} + x\right)}^{\frac{1}{3}}}{c x^{2} + d}\,{d x}"," ",0,"integrate((a*x^2 + b)*(x^3 + x)^(1/3)/(c*x^2 + d), x)","F",0
2967,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(2 \, a p x^{3} - b p + 3 \, a q\right)} {\left(a x^{3} + b\right)} x^{2}}{{\left(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(p x^{3} + q\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((2*a*p*x^3 - b*p + 3*a*q)*(a*x^3 + b)*x^2/((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)*(p*x^3 + q)^(2/3)), x)","F",0
2968,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{a b + a c - 2 \, b c - {\left(2 \, a - b - c\right)} x}{\left(-{\left(a - x\right)} {\left(b - x\right)} {\left(c - x\right)}\right)^{\frac{1}{3}} {\left(b c d + {\left(d - 1\right)} x^{2} - a^{2} - {\left(b d + c d - 2 \, a\right)} x\right)}}\,{d x}"," ",0,"-integrate((a*b + a*c - 2*b*c - (2*a - b - c)*x)/((-(a - x)*(b - x)*(c - x))^(1/3)*(b*c*d + (d - 1)*x^2 - a^2 - (b*d + c*d - 2*a)*x)), x)","F",0
2969,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{2} - x + 1\right)} {\left(x - 2\right)}}{{\left(x^{2} + x - 1\right)} x^{3} \left(\frac{2 \, x^{2} - x + 1}{3 \, x^{2} - x + 1}\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((x^2 - x + 1)*(x - 2)/((x^2 + x - 1)*x^3*((2*x^2 - x + 1)/(3*x^2 - x + 1))^(1/3)), x)","F",0
2970,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(9 \, a x^{4} + 5 \, b\right)} x^{3}}{{\left(a x^{9} + b x^{5} + 1\right)} {\left(a x^{5} + b x\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((9*a*x^4 + 5*b)*x^3/((a*x^9 + b*x^5 + 1)*(a*x^5 + b*x)^(1/4)), x)","F",0
2971,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(x^{4} + 1\right)} \sqrt{x^{2} + 1} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{x^{4} - 1}\,{d x}"," ",0,"-integrate((x^4 + 1)*sqrt(x^2 + 1)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/(x^4 - 1), x)","F",0
2972,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(x^{4} + 1\right)} \sqrt{x^{2} + 1} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{x^{4} - 1}\,{d x}"," ",0,"-integrate((x^4 + 1)*sqrt(x^2 + 1)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/(x^4 - 1), x)","F",0
2973,0,0,0,0.000000," ","integrate((a^12*x^12+b^12)/(a^4*x^4-b^4)^(1/2)/(a^12*x^12-b^12),x, algorithm=""maxima"")","\int \frac{a^{12} x^{12} + b^{12}}{{\left(a^{12} x^{12} - b^{12}\right)} \sqrt{a^{4} x^{4} - b^{4}}}\,{d x}"," ",0,"integrate((a^12*x^12 + b^12)/((a^12*x^12 - b^12)*sqrt(a^4*x^4 - b^4)), x)","F",0
2974,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}{\sqrt{a^{2} x^{4} + b} {\left(c x^{4} + d\right)}}\,{d x}"," ",0,"integrate(sqrt(a*x^2 + sqrt(a^2*x^4 + b))/(sqrt(a^2*x^4 + b)*(c*x^4 + d)), x)","F",0
2975,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}{\sqrt{a^{2} x^{4} + b} {\left(c x^{4} + d\right)}}\,{d x}"," ",0,"integrate(sqrt(a*x^2 + sqrt(a^2*x^4 + b))/(sqrt(a^2*x^4 + b)*(c*x^4 + d)), x)","F",0
2976,0,0,0,0.000000," ","integrate(x/(x-(a*x+b)^(1/2)*(c+(a*x+b)^(1/2))^(1/2)),x, algorithm=""maxima"")","-\int \frac{x}{\sqrt{a x + b} \sqrt{c + \sqrt{a x + b}} - x}\,{d x}"," ",0,"-integrate(x/(sqrt(a*x + b)*sqrt(c + sqrt(a*x + b)) - x), x)","F",0
2977,0,0,0,0.000000," ","integrate(x/(x-(a*x+b)^(1/2)*(c+(a*x+b)^(1/2))^(1/2)),x, algorithm=""maxima"")","-\int \frac{x}{\sqrt{a x + b} \sqrt{c + \sqrt{a x + b}} - x}\,{d x}"," ",0,"-integrate(x/(sqrt(a*x + b)*sqrt(c + sqrt(a*x + b)) - x), x)","F",0
2978,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left({\left(a + k\right)} x^{2} - {\left(k + 1\right)} x + 1\right)} {\left({\left(k + 1\right)} x^{2} - 2 \, x\right)}}{{\left({\left(k^{2} - b\right)} x^{4} - 2 \, {\left(k^{2} + k\right)} x^{3} + {\left(k^{2} + 4 \, k + 1\right)} x^{2} - 2 \, {\left(k + 1\right)} x + 1\right)} \left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(((a + k)*x^2 - (k + 1)*x + 1)*((k + 1)*x^2 - 2*x)/(((k^2 - b)*x^4 - 2*(k^2 + k)*x^3 + (k^2 + 4*k + 1)*x^2 - 2*(k + 1)*x + 1)*((k*x - 1)*(x - 1)*x)^(2/3)), x)","F",0
2979,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left({\left(a + k\right)} x^{2} - {\left(k + 1\right)} x + 1\right)} {\left({\left(k + 1\right)} x - 2\right)}}{{\left({\left(k^{2} - b\right)} x^{4} - 2 \, {\left(k^{2} + k\right)} x^{3} + {\left(k^{2} + 4 \, k + 1\right)} x^{2} - 2 \, {\left(k + 1\right)} x + 1\right)} \left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(((a + k)*x^2 - (k + 1)*x + 1)*((k + 1)*x - 2)/(((k^2 - b)*x^4 - 2*(k^2 + k)*x^3 + (k^2 + 4*k + 1)*x^2 - 2*(k + 1)*x + 1)*((k*x - 1)*(x - 1)*x)^(1/3)), x)","F",0
2980,0,0,0,0.000000," ","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=""maxima"")","\int \frac{1}{\sqrt{a^{2} x^{2} - b} \sqrt{a x + \sqrt{a^{2} x^{2} - b}} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{6}}}\,{d x}"," ",0,"integrate(1/(sqrt(a^2*x^2 - b)*sqrt(a*x + sqrt(a^2*x^2 - b))*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/6)), x)","F",0
2981,0,0,0,0.000000," ","integrate(x/(1+(a*x+(a^2*x^2-b)^(1/2))^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{\sqrt{a x + \sqrt{a^{2} x^{2} - b}} + 1}}\,{d x}"," ",0,"integrate(x/sqrt(sqrt(a*x + sqrt(a^2*x^2 - b)) + 1), x)","F",0
2982,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(c x^{2} + d\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{5}{4}}}{{\left(a^{2} x^{2} - b\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + d)*(a*x + sqrt(a^2*x^2 - b))^(5/4)/(a^2*x^2 - b)^(3/2), x)","F",0
2983,0,0,0,0.000000," ","integrate((a*x^2-b)*(x^3-x)^(1/3)/(c*x^2-d),x, algorithm=""maxima"")","\int \frac{{\left(a x^{2} - b\right)} {\left(x^{3} - x\right)}^{\frac{1}{3}}}{c x^{2} - d}\,{d x}"," ",0,"integrate((a*x^2 - b)*(x^3 - x)^(1/3)/(c*x^2 - d), x)","F",0
2984,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(a^{2} - 2 \, a x + x^{2}\right)} {\left(a b - {\left(2 \, a - b\right)} x\right)}}{{\left(a^{4} d - 4 \, a^{3} d x + {\left(d - 1\right)} x^{4} - 2 \, {\left(2 \, a d - b\right)} x^{3} + {\left(6 \, a^{2} d - b^{2}\right)} x^{2}\right)} \left({\left(a - x\right)} {\left(b - x\right)} x\right)^{\frac{1}{3}}}\,{d x}"," ",0,"-integrate((a^2 - 2*a*x + x^2)*(a*b - (2*a - b)*x)/((a^4*d - 4*a^3*d*x + (d - 1)*x^4 - 2*(2*a*d - b)*x^3 + (6*a^2*d - b^2)*x^2)*((a - x)*(b - x)*x)^(1/3)), x)","F",0
2985,1,535,0,0.430852," ","integrate((d*x+b)/x^4/((a*x+b)/(c*x+d))^(1/4),x, algorithm=""maxima"")","-\frac{3 \, {\left(7 \, b^{3} c^{3} d^{2} + 3 \, a b^{2} c^{2} d^{3} + 20 \, a^{2} d^{6} - {\left(15 \, a^{3} + 8 \, a b c\right)} d^{5} + {\left(5 \, a^{2} b c - 12 \, b^{2} c^{2}\right)} d^{4}\right)} \left(\frac{a x + b}{c x + d}\right)^{\frac{11}{4}} + 6 \, {\left(3 \, b^{4} c^{3} d - 17 \, a b^{3} c^{2} d^{2} - 28 \, a^{2} b d^{5} + 3 \, {\left(7 \, a^{3} b + 8 \, a b^{2} c\right)} d^{4} - {\left(7 \, a^{2} b^{2} c - 4 \, b^{3} c^{2}\right)} d^{3}\right)} \left(\frac{a x + b}{c x + d}\right)^{\frac{7}{4}} - {\left(7 \, b^{5} c^{3} + 3 \, a b^{4} c^{2} d - 108 \, a^{2} b^{2} d^{4} + {\left(113 \, a^{3} b^{2} + 120 \, a b^{3} c\right)} d^{3} - 3 \, {\left(41 \, a^{2} b^{3} c + 4 \, b^{4} c^{2}\right)} d^{2}\right)} \left(\frac{a x + b}{c x + d}\right)^{\frac{3}{4}}}{96 \, {\left(b^{5} d^{2} - \frac{3 \, {\left(a x + b\right)} b^{4} d^{3}}{c x + d} + \frac{3 \, {\left(a x + b\right)}^{2} b^{3} d^{4}}{{\left(c x + d\right)}^{2}} - \frac{{\left(a x + b\right)}^{3} b^{2} d^{5}}{{\left(c x + d\right)}^{3}}\right)}} + \frac{{\left(7 \, b^{3} c^{3} + 3 \, a b^{2} c^{2} d + 20 \, a^{2} d^{4} - {\left(15 \, a^{3} + 8 \, a b c\right)} d^{3} + {\left(5 \, a^{2} b c - 12 \, b^{2} c^{2}\right)} d^{2}\right)} {\left(\frac{2 \, \arctan\left(\frac{\sqrt{d} \left(\frac{a x + b}{c x + d}\right)^{\frac{1}{4}}}{\sqrt{\sqrt{b} \sqrt{d}}}\right)}{\sqrt{\sqrt{b} \sqrt{d}} \sqrt{d}} + \frac{\log\left(\frac{\sqrt{d} \left(\frac{a x + b}{c x + d}\right)^{\frac{1}{4}} - \sqrt{\sqrt{b} \sqrt{d}}}{\sqrt{d} \left(\frac{a x + b}{c x + d}\right)^{\frac{1}{4}} + \sqrt{\sqrt{b} \sqrt{d}}}\right)}{\sqrt{\sqrt{b} \sqrt{d}} \sqrt{d}}\right)}}{128 \, b^{2} d^{2}}"," ",0,"-1/96*(3*(7*b^3*c^3*d^2 + 3*a*b^2*c^2*d^3 + 20*a^2*d^6 - (15*a^3 + 8*a*b*c)*d^5 + (5*a^2*b*c - 12*b^2*c^2)*d^4)*((a*x + b)/(c*x + d))^(11/4) + 6*(3*b^4*c^3*d - 17*a*b^3*c^2*d^2 - 28*a^2*b*d^5 + 3*(7*a^3*b + 8*a*b^2*c)*d^4 - (7*a^2*b^2*c - 4*b^3*c^2)*d^3)*((a*x + b)/(c*x + d))^(7/4) - (7*b^5*c^3 + 3*a*b^4*c^2*d - 108*a^2*b^2*d^4 + (113*a^3*b^2 + 120*a*b^3*c)*d^3 - 3*(41*a^2*b^3*c + 4*b^4*c^2)*d^2)*((a*x + b)/(c*x + d))^(3/4))/(b^5*d^2 - 3*(a*x + b)*b^4*d^3/(c*x + d) + 3*(a*x + b)^2*b^3*d^4/(c*x + d)^2 - (a*x + b)^3*b^2*d^5/(c*x + d)^3) + 1/128*(7*b^3*c^3 + 3*a*b^2*c^2*d + 20*a^2*d^4 - (15*a^3 + 8*a*b*c)*d^3 + (5*a^2*b*c - 12*b^2*c^2)*d^2)*(2*arctan(sqrt(d)*((a*x + b)/(c*x + d))^(1/4)/sqrt(sqrt(b)*sqrt(d)))/(sqrt(sqrt(b)*sqrt(d))*sqrt(d)) + log((sqrt(d)*((a*x + b)/(c*x + d))^(1/4) - sqrt(sqrt(b)*sqrt(d)))/(sqrt(d)*((a*x + b)/(c*x + d))^(1/4) + sqrt(sqrt(b)*sqrt(d))))/(sqrt(sqrt(b)*sqrt(d))*sqrt(d)))/(b^2*d^2)","A",0
2986,0,0,0,0.000000," ","integrate((e*x+f)/(d+c*x+(a*x+(a^2*x^2+b^2)^(1/2))^(1/2)),x, algorithm=""maxima"")","\frac{e x}{2 \, c} - \frac{{\left(d e - c f\right)} \log\left(c x + d\right)}{2 \, c^{2}} - \int -\frac{c^{2} e x^{3} + d^{2} f + {\left(2 \, c d e + c^{2} f - a e\right)} x^{2} + {\left(d^{2} e + 2 \, c d f - a f\right)} x - \sqrt{a^{2} x^{2} + b^{2}} {\left(e x + f\right)}}{2 \, {\left(c^{3} x^{3} + d^{3} + {\left(3 \, c^{2} d + a c\right)} x^{2} + {\left(3 \, c d^{2} + a d\right)} x + 2 \, {\left(c^{2} x^{2} + 2 \, c d x + d^{2}\right)} \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} + \sqrt{a^{2} x^{2} + b^{2}} {\left(c x + d\right)}\right)}}\,{d x}"," ",0,"1/2*e*x/c - 1/2*(d*e - c*f)*log(c*x + d)/c^2 - integrate(-1/2*(c^2*e*x^3 + d^2*f + (2*c*d*e + c^2*f - a*e)*x^2 + (d^2*e + 2*c*d*f - a*f)*x - sqrt(a^2*x^2 + b^2)*(e*x + f))/(c^3*x^3 + d^3 + (3*c^2*d + a*c)*x^2 + (3*c*d^2 + a*d)*x + 2*(c^2*x^2 + 2*c*d*x + d^2)*sqrt(a*x + sqrt(a^2*x^2 + b^2)) + sqrt(a^2*x^2 + b^2)*(c*x + d)), x)","F",0
2987,0,0,0,0.000000," ","integrate((x^6+1)/(x^5-x^3)^(1/4)/(-x^6+1),x, algorithm=""maxima"")","-\int \frac{x^{6} + 1}{{\left(x^{6} - 1\right)} {\left(x^{5} - x^{3}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"-integrate((x^6 + 1)/((x^6 - 1)*(x^5 - x^3)^(1/4)), x)","F",0
2988,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(c x^{4} + d\right)} \sqrt{a^{2} x^{2} - b} \sqrt{a x + \sqrt{a^{2} x^{2} - b}}}{x^{2}}\,{d x}"," ",0,"integrate((c*x^4 + d)*sqrt(a^2*x^2 - b)*sqrt(a*x + sqrt(a^2*x^2 - b))/x^2, x)","F",0
2989,0,0,0,0.000000," ","integrate((x^2+1)^(3/2)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^2+1)^2,x, algorithm=""maxima"")","\int \frac{{\left(x^{2} + 1\right)}^{\frac{3}{2}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{{\left(x^{2} - 1\right)}^{2}}\,{d x}"," ",0,"integrate((x^2 + 1)^(3/2)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/(x^2 - 1)^2, x)","F",0
2990,0,0,0,0.000000," ","integrate((x^2+1)^(3/2)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^2+1)^2,x, algorithm=""maxima"")","\int \frac{{\left(x^{2} + 1\right)}^{\frac{3}{2}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{{\left(x^{2} - 1\right)}^{2}}\,{d x}"," ",0,"integrate((x^2 + 1)^(3/2)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/(x^2 - 1)^2, x)","F",0
2991,0,0,0,0.000000," ","integrate((x^2+1)^(3/2)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^2+1)^2,x, algorithm=""maxima"")","\int \frac{{\left(x^{2} + 1\right)}^{\frac{3}{2}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{{\left(x^{2} - 1\right)}^{2}}\,{d x}"," ",0,"integrate((x^2 + 1)^(3/2)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/(x^2 - 1)^2, x)","F",0
2992,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{4} + x^{2} + 1\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}}}{{\left(x^{4} + x^{2} - 1\right)} \sqrt{x^{4} + 1}}\,{d x}"," ",0,"integrate((x^4 + x^2 + 1)*sqrt(x^2 + sqrt(x^4 + 1))/((x^4 + x^2 - 1)*sqrt(x^4 + 1)), x)","F",0
2993,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{4} + x^{2} + 1\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}}}{{\left(x^{4} + x^{2} - 1\right)} \sqrt{x^{4} + 1}}\,{d x}"," ",0,"integrate((x^4 + x^2 + 1)*sqrt(x^2 + sqrt(x^4 + 1))/((x^4 + x^2 - 1)*sqrt(x^4 + 1)), x)","F",0
2994,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(c x^{4} + d\right)} \sqrt{a^{2} x^{2} - b} \sqrt{a x + \sqrt{a^{2} x^{2} - b}}}{x}\,{d x}"," ",0,"integrate((c*x^4 + d)*sqrt(a^2*x^2 - b)*sqrt(a*x + sqrt(a^2*x^2 - b))/x, x)","F",0
2995,0,0,0,0.000000," ","integrate((a*x^2+(a^2*x^4+b)^(1/2))^(1/2)/(c*x^2+d),x, algorithm=""maxima"")","\int \frac{\sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}{c x^{2} + d}\,{d x}"," ",0,"integrate(sqrt(a*x^2 + sqrt(a^2*x^4 + b))/(c*x^2 + d), x)","F",0
2996,0,0,0,0.000000," ","integrate((a*x^2+(a^2*x^4+b)^(1/2))^(1/2)/(c*x^2+d),x, algorithm=""maxima"")","\int \frac{\sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}{c x^{2} + d}\,{d x}"," ",0,"integrate(sqrt(a*x^2 + sqrt(a^2*x^4 + b))/(c*x^2 + d), x)","F",0
2997,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(10 \, a x^{3} + 7 \, b\right)} x^{5}}{{\left(a x^{10} + b x^{7} + 1\right)} {\left(a x^{6} + b x^{3}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((10*a*x^3 + 7*b)*x^5/((a*x^10 + b*x^7 + 1)*(a*x^6 + b*x^3)^(1/4)), x)","F",0
2998,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{p x^{3} + q} {\left(p x^{3} - 2 \, q\right)} x^{4}}{b x^{8} + {\left(p x^{3} + q\right)}^{4} a}\,{d x}"," ",0,"integrate(sqrt(p*x^3 + q)*(p*x^3 - 2*q)*x^4/(b*x^8 + (p*x^3 + q)^4*a), x)","F",0
2999,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{x + \sqrt{x^{2} + 1}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{{\left(x^{2} + 1\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(x + sqrt(x^2 + 1))*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/(x^2 + 1)^2, x)","F",0
3000,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{x + \sqrt{x^{2} + 1}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{{\left(x^{2} + 1\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(x + sqrt(x^2 + 1))*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/(x^2 + 1)^2, x)","F",0
3001,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{x + \sqrt{x^{2} + 1}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{{\left(x^{2} - 1\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(x + sqrt(x^2 + 1))*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/(x^2 - 1)^2, x)","F",0
3002,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{x + \sqrt{x^{2} + 1}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{{\left(x^{2} - 1\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(x + sqrt(x^2 + 1))*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/(x^2 - 1)^2, x)","F",0
3003,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{{\left(x^{2} + 1\right)}^{2} \sqrt{x + \sqrt{x^{2} + 1}}}\,{d x}"," ",0,"integrate(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/((x^2 + 1)^2*sqrt(x + sqrt(x^2 + 1))), x)","F",0
3004,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{{\left(x^{2} + 1\right)}^{2} \sqrt{x + \sqrt{x^{2} + 1}}}\,{d x}"," ",0,"integrate(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/((x^2 + 1)^2*sqrt(x + sqrt(x^2 + 1))), x)","F",0
3005,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(k^{2} x^{2} - 2 \, k x + 1\right)} {\left({\left(k - 2\right)} x + 1\right)}}{{\left({\left(b k^{4} - 1\right)} x^{4} - 2 \, {\left(2 \, b k^{3} - 1\right)} x^{3} - 4 \, b k x + {\left(6 \, b k^{2} - 1\right)} x^{2} + b\right)} \left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((k^2*x^2 - 2*k*x + 1)*((k - 2)*x + 1)/(((b*k^4 - 1)*x^4 - 2*(2*b*k^3 - 1)*x^3 - 4*b*k*x + (6*b*k^2 - 1)*x^2 + b)*((k*x - 1)*(x - 1)*x)^(1/3)), x)","F",0
3006,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{{\left(x^{2} - 1\right)}^{2} \sqrt{x + \sqrt{x^{2} + 1}}}\,{d x}"," ",0,"integrate(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/((x^2 - 1)^2*sqrt(x + sqrt(x^2 + 1))), x)","F",0
3007,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{{\left(x^{2} - 1\right)}^{2} \sqrt{x + \sqrt{x^{2} + 1}}}\,{d x}"," ",0,"integrate(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/((x^2 - 1)^2*sqrt(x + sqrt(x^2 + 1))), x)","F",0
3008,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a^{2} - 2 \, a x + x^{2}\right)} {\left(a - 2 \, b + x\right)}}{{\left(a^{4} d - 4 \, a d x^{3} + d x^{4} + {\left(6 \, a^{2} d - 1\right)} x^{2} - b^{2} - 2 \, {\left(2 \, a^{3} d - b\right)} x\right)} \left({\left(a - x\right)} {\left(b - x\right)}\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((a^2 - 2*a*x + x^2)*(a - 2*b + x)/((a^4*d - 4*a*d*x^3 + d*x^4 + (6*a^2*d - 1)*x^2 - b^2 - 2*(2*a^3*d - b)*x)*((a - x)*(b - x))^(1/3)), x)","F",0
3009,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(x^{4} + 1\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{{\left(x^{4} - 1\right)} \sqrt{x + \sqrt{x^{2} + 1}}}\,{d x}"," ",0,"-integrate((x^4 + 1)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/((x^4 - 1)*sqrt(x + sqrt(x^2 + 1))), x)","F",0
3010,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(x^{4} + 1\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{{\left(x^{4} - 1\right)} \sqrt{x + \sqrt{x^{2} + 1}}}\,{d x}"," ",0,"-integrate((x^4 + 1)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/((x^4 - 1)*sqrt(x + sqrt(x^2 + 1))), x)","F",0
3011,0,0,0,0.000000," ","integrate((a*x+b)^(1/2)*(c+(a*x+b)^(1/2))^(1/2)/(x-(a*x+b)^(1/2)),x, algorithm=""maxima"")","\int \frac{\sqrt{a x + b} \sqrt{c + \sqrt{a x + b}}}{x - \sqrt{a x + b}}\,{d x}"," ",0,"integrate(sqrt(a*x + b)*sqrt(c + sqrt(a*x + b))/(x - sqrt(a*x + b)), x)","F",0
3012,-2,0,0,0.000000," ","integrate((1+x)/(-a*x+1)/((-b*x+1)/(c+x))^(1/4),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b-a>0)', see `assume?` for more details)Is b-a positive, negative or zero?","F(-2)",0
3013,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(9 \, a x^{2} - 7 \, b\right)} x^{5}}{{\left(a x^{9} - b x^{7} + 1\right)} {\left(a x^{5} - b x^{3}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((9*a*x^2 - 7*b)*x^5/((a*x^9 - b*x^7 + 1)*(a*x^5 - b*x^3)^(1/4)), x)","F",0
3014,0,0,0,0.000000," ","integrate((a*x^4+b)/(a*x^4-b)^(1/2)/(a*x^4+c^2*x^2-b),x, algorithm=""maxima"")","\int \frac{a x^{4} + b}{{\left(a x^{4} + c^{2} x^{2} - b\right)} \sqrt{a x^{4} - b}}\,{d x}"," ",0,"integrate((a*x^4 + b)/((a*x^4 + c^2*x^2 - b)*sqrt(a*x^4 - b)), x)","F",0
3015,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a b - 2 \, b x + x^{2}\right)} {\left(a - x\right)} x}{{\left(2 \, a d x^{3} - d x^{4} - {\left(a^{2} d - 1\right)} x^{2} + b^{2} - 2 \, b x\right)} \left(-{\left(a - x\right)} {\left(b - x\right)}^{2} x\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((a*b - 2*b*x + x^2)*(a - x)*x/((2*a*d*x^3 - d*x^4 - (a^2*d - 1)*x^2 + b^2 - 2*b*x)*(-(a - x)*(b - x)^2*x)^(1/3)), x)","F",0
3016,0,0,0,0.000000," ","integrate((a*x+b)/(a*x-b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{a x + b}{{\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a x - b\right)}}\,{d x}"," ",0,"integrate((a*x + b)/((a^3*x^3 + b^2*x^2)^(1/3)*(a*x - b)), x)","F",0
3017,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{a^{2} x^{4} + b} \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}{a^{2} x^{4} - b}\,{d x}"," ",0,"integrate(sqrt(a^2*x^4 + b)*sqrt(a*x^2 + sqrt(a^2*x^4 + b))/(a^2*x^4 - b), x)","F",0
3018,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{a^{2} x^{4} + b} \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}{a^{2} x^{4} - b}\,{d x}"," ",0,"integrate(sqrt(a^2*x^4 + b)*sqrt(a*x^2 + sqrt(a^2*x^4 + b))/(a^2*x^4 - b), x)","F",0
3019,0,0,0,0.000000," ","integrate(1/((-a+x)*(-b+x)^2)^(1/3)/(b-a*d+(-1+d)*x),x, algorithm=""maxima"")","-\int \frac{1}{\left(-{\left(a - x\right)} {\left(b - x\right)}^{2}\right)^{\frac{1}{3}} {\left(a d - {\left(d - 1\right)} x - b\right)}}\,{d x}"," ",0,"-integrate(1/((-(a - x)*(b - x)^2)^(1/3)*(a*d - (d - 1)*x - b)), x)","F",0
3020,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{4} - x^{2} + x + 1\right)} {\left(2 \, x^{2} - 3 \, x - 4\right)} \left(\frac{2 \, x^{4} - x^{2} + x + 1}{3 \, x^{4} - x^{2} + x + 1}\right)^{\frac{1}{3}}}{{\left(x^{4} + x^{2} - x - 1\right)} x^{5}}\,{d x}"," ",0,"integrate((x^4 - x^2 + x + 1)*(2*x^2 - 3*x - 4)*((2*x^4 - x^2 + x + 1)/(3*x^4 - x^2 + x + 1))^(1/3)/((x^4 + x^2 - x - 1)*x^5), x)","F",0
3021,0,0,0,0.000000," ","integrate((a*x-b)/(a*x+b)/(a^3*x^3-b^2*x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{a x - b}{{\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a x + b\right)}}\,{d x}"," ",0,"integrate((a*x - b)/((a^3*x^3 - b^2*x^2)^(1/3)*(a*x + b)), x)","F",0
3022,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{p x^{4} + q} {\left(p x^{4} - q\right)}}{c x^{4} + {\left(p x^{4} + q\right)} b x^{2} + {\left(p x^{4} + q\right)}^{2} a}\,{d x}"," ",0,"integrate(sqrt(p*x^4 + q)*(p*x^4 - q)/(c*x^4 + (p*x^4 + q)*b*x^2 + (p*x^4 + q)^2*a), x)","F",0
3023,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(x^{4} + 1\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{{\left(x^{4} - 1\right)} \sqrt{x^{2} + 1}}\,{d x}"," ",0,"-integrate((x^4 + 1)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/((x^4 - 1)*sqrt(x^2 + 1)), x)","F",0
3024,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(x^{4} + 1\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{{\left(x^{4} - 1\right)} \sqrt{x^{2} + 1}}\,{d x}"," ",0,"-integrate((x^4 + 1)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/((x^4 - 1)*sqrt(x^2 + 1)), x)","F",0
3025,0,0,0,0.000000," ","integrate((x^6-x^3+1)/(x^4+x^2)^(1/3)/(x^6-1),x, algorithm=""maxima"")","\int \frac{x^{6} - x^{3} + 1}{{\left(x^{6} - 1\right)} {\left(x^{4} + x^{2}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((x^6 - x^3 + 1)/((x^6 - 1)*(x^4 + x^2)^(1/3)), x)","F",0
3026,0,0,0,0.000000," ","integrate((x^6+x^3+1)/(x^4+x^2)^(1/3)/(x^6-1),x, algorithm=""maxima"")","\int \frac{x^{6} + x^{3} + 1}{{\left(x^{6} - 1\right)} {\left(x^{4} + x^{2}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((x^6 + x^3 + 1)/((x^6 - 1)*(x^4 + x^2)^(1/3)), x)","F",0
3027,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\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}}}}\,{d x}"," ",0,"integrate(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))), x)","F",0
3028,0,0,0,0.000000," ","integrate((a*x^8-1)*(a*x^8+1)^(3/4)/(a^2*x^16+x^8+1),x, algorithm=""maxima"")","\int \frac{{\left(a x^{8} + 1\right)}^{\frac{3}{4}} {\left(a x^{8} - 1\right)}}{a^{2} x^{16} + x^{8} + 1}\,{d x}"," ",0,"integrate((a*x^8 + 1)^(3/4)*(a*x^8 - 1)/(a^2*x^16 + x^8 + 1), x)","F",0
3029,0,0,0,0.000000," ","integrate((a*x-b)/(a*x+b)/(a^3*x^3+b^2*x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{a x - b}{{\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a x + b\right)}}\,{d x}"," ",0,"integrate((a*x - b)/((a^3*x^3 + b^2*x^2)^(1/3)*(a*x + b)), x)","F",0
3030,0,0,0,0.000000," ","integrate(1/(x^2-1)^2/(x+(x^2+1)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{2} - 1\right)}^{2} \sqrt{x + \sqrt{x^{2} + 1}}}\,{d x}"," ",0,"integrate(1/((x^2 - 1)^2*sqrt(x + sqrt(x^2 + 1))), x)","F",0
3031,0,0,0,0.000000," ","integrate((a*x^2+b*x+c)^(3/2)/(1-x*(a*x^2+b*x+c)^(1/2)),x, algorithm=""maxima"")","-\frac{1}{2} \, a x^{2} - b x - c \log\left(x\right) - \int \frac{a x^{2} + b x + c}{\sqrt{a x^{2} + b x + c} x^{2} - x}\,{d x}"," ",0,"-1/2*a*x^2 - b*x - c*log(x) - integrate((a*x^2 + b*x + c)/(sqrt(a*x^2 + b*x + c)*x^2 - x), x)","F",0
3032,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(b - x\right)}^{2}}{\left(-{\left(a - x\right)} {\left(b - x\right)}^{2}\right)^{\frac{2}{3}} {\left(b^{2} d + {\left(d - 1\right)} x^{2} - a^{2} - 2 \, {\left(b d - a\right)} x\right)}}\,{d x}"," ",0,"integrate((b - x)^2/((-(a - x)*(b - x)^2)^(2/3)*(b^2*d + (d - 1)*x^2 - a^2 - 2*(b*d - a)*x)), x)","F",0
3033,0,0,0,0.000000," ","integrate((a*x+b)/(a*x-b)/(a^3*x^3-b^2*x^2)^(1/3),x, algorithm=""maxima"")","\int \frac{a x + b}{{\left(a^{3} x^{3} - b^{2} x^{2}\right)}^{\frac{1}{3}} {\left(a x - b\right)}}\,{d x}"," ",0,"integrate((a*x + b)/((a^3*x^3 - b^2*x^2)^(1/3)*(a*x - b)), x)","F",0
3034,0,0,0,0.000000," ","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=""maxima"")","\int \frac{1}{{\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{3}} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{3}}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(1/((a*x + sqrt(a^2*x^2 - b))^(1/3)*(c + (a*x + sqrt(a^2*x^2 - b))^(1/3))^(1/4)), x)","F",0
3035,0,0,0,0.000000," ","integrate(x^4/(a*x^4-b)^(1/4)/(x^8+2*a*x^4-b),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(x^{8} + 2 \, a x^{4} - b\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(x^4/((x^8 + 2*a*x^4 - b)*(a*x^4 - b)^(1/4)), x)","F",0
3036,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(c x^{2} + d\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{3}{4}}}{{\left(a^{2} x^{2} - b\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((c*x^2 + d)*(a*x + sqrt(a^2*x^2 - b))^(3/4)/(a^2*x^2 - b)^(5/2), x)","F",0
3037,0,0,0,0.000000," ","integrate(x^2/(x^4+1)/(x^6-x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(x^{6} - x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} + 1\right)}}\,{d x}"," ",0,"integrate(x^2/((x^6 - x^2)^(1/4)*(x^4 + 1)), x)","F",0
3038,0,0,0,0.000000," ","integrate(x^2/(x^4+1)/(x^6-x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(x^{6} - x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} + 1\right)}}\,{d x}"," ",0,"integrate(x^2/((x^6 - x^2)^(1/4)*(x^4 + 1)), x)","F",0
3039,0,0,0,0.000000," ","integrate((x^4-1)/(x^4+1)/(x^6-x^2)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{4} - 1}{{\left(x^{6} - x^{2}\right)}^{\frac{1}{4}} {\left(x^{4} + 1\right)}}\,{d x}"," ",0,"integrate((x^4 - 1)/((x^6 - x^2)^(1/4)*(x^4 + 1)), x)","F",0
3040,0,0,0,0.000000," ","integrate((a*x^4-b)^(3/4)/(x^8+2*a*x^4-b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} - b\right)}^{\frac{3}{4}}}{x^{8} + 2 \, a x^{4} - b}\,{d x}"," ",0,"integrate((a*x^4 - b)^(3/4)/(x^8 + 2*a*x^4 - b), x)","F",0
3041,0,0,0,0.000000," ","integrate((1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(x^2+1)^(5/2),x, algorithm=""maxima"")","\int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{{\left(x^{2} + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/(x^2 + 1)^(5/2), x)","F",0
3042,0,0,0,0.000000," ","integrate((1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(x^2+1)^(5/2),x, algorithm=""maxima"")","\int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{{\left(x^{2} + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/(x^2 + 1)^(5/2), x)","F",0
3043,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{a x + b} x^{2}}{x^{2} - \sqrt{a x + b} \sqrt{c + \sqrt{a x + b}}}\,{d x}"," ",0,"integrate(sqrt(a*x + b)*x^2/(x^2 - sqrt(a*x + b)*sqrt(c + sqrt(a*x + b))), x)","F",0
3044,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{a x + b} x^{2}}{x^{2} - \sqrt{a x + b} \sqrt{c + \sqrt{a x + b}}}\,{d x}"," ",0,"integrate(sqrt(a*x + b)*x^2/(x^2 - sqrt(a*x + b)*sqrt(c + sqrt(a*x + b))), x)","F",0
3045,0,0,0,0.000000," ","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=""maxima"")","\int \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}}}\,{d x}"," ",0,"integrate(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))), x)","F",0
3046,0,0,0,0.000000," ","integrate(x^4/(a*x^4+b)^(1/4)/(2*x^8+2*a*x^4+b),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(2 \, x^{8} + 2 \, a x^{4} + b\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(x^4/((2*x^8 + 2*a*x^4 + b)*(a*x^4 + b)^(1/4)), x)","F",0
3047,0,0,0,0.000000," ","integrate(x^4*(p*x^4-q)*(p*x^4+q)^(1/2)/(b*x^8+a*(p*x^4+q)^4),x, algorithm=""maxima"")","\int \frac{\sqrt{p x^{4} + q} {\left(p x^{4} - q\right)} x^{4}}{b x^{8} + {\left(p x^{4} + q\right)}^{4} a}\,{d x}"," ",0,"integrate(sqrt(p*x^4 + q)*(p*x^4 - q)*x^4/(b*x^8 + (p*x^4 + q)^4*a), x)","F",0
3048,0,0,0,0.000000," ","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, algorithm=""maxima"")","\int \frac{1}{{\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}}}\,{d x}"," ",0,"integrate((-3*x^10 + x^9 - 9*x^7 + 3*x^6 - 9*x^4 + 3*x^3 - 3*x + 1)^(-1/3), x)","F",0
3049,0,0,0,0.000000," ","integrate((a*x^4+b)^(3/4)/(2*x^8+2*a*x^4+b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} + b\right)}^{\frac{3}{4}}}{2 \, x^{8} + 2 \, a x^{4} + b}\,{d x}"," ",0,"integrate((a*x^4 + b)^(3/4)/(2*x^8 + 2*a*x^4 + b), x)","F",0
3050,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}{\sqrt{a^{2} x^{4} + b} {\left(c x + d\right)}}\,{d x}"," ",0,"integrate(sqrt(a*x^2 + sqrt(a^2*x^4 + b))/(sqrt(a^2*x^4 + b)*(c*x + d)), x)","F",0
3051,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}{\sqrt{a^{2} x^{4} + b} {\left(c x + d\right)}}\,{d x}"," ",0,"integrate(sqrt(a*x^2 + sqrt(a^2*x^4 + b))/(sqrt(a^2*x^4 + b)*(c*x + d)), x)","F",0
3052,0,0,0,0.000000," ","integrate(1/(a*x^2+b*x+c)^(1/2)/(a^3*b^3*x^3+c^3),x, algorithm=""maxima"")","\int \frac{1}{{\left(a^{3} b^{3} x^{3} + c^{3}\right)} \sqrt{a x^{2} + b x + c}}\,{d x}"," ",0,"integrate(1/((a^3*b^3*x^3 + c^3)*sqrt(a*x^2 + b*x + c)), x)","F",0
3053,0,0,0,0.000000," ","integrate((c*x^2-d)*(a*x^2+(a^2*x^4+b)^(1/2))^(1/2)/(c*x^2+d),x, algorithm=""maxima"")","\int \frac{\sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}} {\left(c x^{2} - d\right)}}{c x^{2} + d}\,{d x}"," ",0,"integrate(sqrt(a*x^2 + sqrt(a^2*x^4 + b))*(c*x^2 - d)/(c*x^2 + d), x)","F",0
3054,0,0,0,0.000000," ","integrate((c*x^2-d)*(a*x^2+(a^2*x^4+b)^(1/2))^(1/2)/(c*x^2+d),x, algorithm=""maxima"")","\int \frac{\sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}} {\left(c x^{2} - d\right)}}{c x^{2} + d}\,{d x}"," ",0,"integrate(sqrt(a*x^2 + sqrt(a^2*x^4 + b))*(c*x^2 - d)/(c*x^2 + d), x)","F",0
3055,0,0,0,0.000000," ","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=""maxima"")","\int \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}}\,{d x}"," ",0,"integrate(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)), x)","F",0
3056,0,0,0,0.000000," ","integrate((1+x)/(x^2-3)/(x^2+1)^(1/3),x, algorithm=""maxima"")","\int \frac{x + 1}{{\left(x^{2} + 1\right)}^{\frac{1}{3}} {\left(x^{2} - 3\right)}}\,{d x}"," ",0,"integrate((x + 1)/((x^2 + 1)^(1/3)*(x^2 - 3)), x)","F",0
3057,0,0,0,0.000000," ","integrate((-x^4+1)/(x^4+1)/(x^5-x^3)^(1/4),x, algorithm=""maxima"")","-\int \frac{x^{4} - 1}{{\left(x^{5} - x^{3}\right)}^{\frac{1}{4}} {\left(x^{4} + 1\right)}}\,{d x}"," ",0,"-integrate((x^4 - 1)/((x^5 - x^3)^(1/4)*(x^4 + 1)), x)","F",0
3058,0,0,0,0.000000," ","integrate((x^8-1)/(x^6-x^2)^(1/4)/(x^8+1),x, algorithm=""maxima"")","\int \frac{x^{8} - 1}{{\left(x^{8} + 1\right)} {\left(x^{6} - x^{2}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((x^8 - 1)/((x^8 + 1)*(x^6 - x^2)^(1/4)), x)","F",0
3059,0,0,0,0.000000," ","integrate((x^8-1)/(x^6-x^2)^(1/4)/(x^8+1),x, algorithm=""maxima"")","\int \frac{x^{8} - 1}{{\left(x^{8} + 1\right)} {\left(x^{6} - x^{2}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((x^8 - 1)/((x^8 + 1)*(x^6 - x^2)^(1/4)), x)","F",0
3060,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{3}}}{{\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{3}}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((a*x + sqrt(a^2*x^2 - b))^(1/3)/(c + (a*x + sqrt(a^2*x^2 - b))^(1/3))^(1/4), x)","F",0
3061,0,0,0,0.000000," ","integrate((a*x+b^2)/(a*x-b^2)/(b+(a*x^2+b^2)^(1/2))^(1/2),x, algorithm=""maxima"")","-\int \frac{b^{2} + a x}{{\left(b^{2} - a x\right)} \sqrt{b + \sqrt{a x^{2} + b^{2}}}}\,{d x}"," ",0,"-integrate((b^2 + a*x)/((b^2 - a*x)*sqrt(b + sqrt(a*x^2 + b^2))), x)","F",0
3062,0,0,0,0.000000," ","integrate((a*x^4-b)^(3/4)/(2*x^8-2*a*x^4+b),x, algorithm=""maxima"")","\int \frac{{\left(a x^{4} - b\right)}^{\frac{3}{4}}}{2 \, x^{8} - 2 \, a x^{4} + b}\,{d x}"," ",0,"integrate((a*x^4 - b)^(3/4)/(2*x^8 - 2*a*x^4 + b), x)","F",0
3063,0,0,0,0.000000," ","integrate((c*x^2-d)/(c*x^2+d)/(a*x^2+(a^2*x^4+b)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{c x^{2} - d}{\sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}} {\left(c x^{2} + d\right)}}\,{d x}"," ",0,"integrate((c*x^2 - d)/(sqrt(a*x^2 + sqrt(a^2*x^4 + b))*(c*x^2 + d)), x)","F",0
3064,0,0,0,0.000000," ","integrate((c*x^2-d)/(c*x^2+d)/(a*x^2+(a^2*x^4+b)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{c x^{2} - d}{\sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}} {\left(c x^{2} + d\right)}}\,{d x}"," ",0,"integrate((c*x^2 - d)/(sqrt(a*x^2 + sqrt(a^2*x^4 + b))*(c*x^2 + d)), x)","F",0
3065,0,0,0,0.000000," ","integrate(x^4/(a*x^4-b)^(1/4)/(2*x^8-2*a*x^4+b),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(2 \, x^{8} - 2 \, a x^{4} + b\right)} {\left(a x^{4} - b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(x^4/((2*x^8 - 2*a*x^4 + b)*(a*x^4 - b)^(1/4)), x)","F",0
3066,0,0,0,0.000000," ","integrate(x^3*(6*a*x-5*b)/(a*x^2-b*x)^(1/4)/(a*x^6-b*x^5+c),x, algorithm=""maxima"")","\int \frac{{\left(6 \, a x - 5 \, b\right)} x^{3}}{{\left(a x^{6} - b x^{5} + c\right)} {\left(a x^{2} - b x\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((6*a*x - 5*b)*x^3/((a*x^6 - b*x^5 + c)*(a*x^2 - b*x)^(1/4)), x)","F",0
3067,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{a - x}{\left(-{\left(a - x\right)} {\left(b - x\right)}^{2}\right)^{\frac{1}{3}} {\left(a^{2} d + {\left(d - 1\right)} x^{2} - b^{2} - 2 \, {\left(a d - b\right)} x\right)}}\,{d x}"," ",0,"-integrate((a - x)/((-(a - x)*(b - x)^2)^(1/3)*(a^2*d + (d - 1)*x^2 - b^2 - 2*(a*d - b)*x)), x)","F",0
3068,0,0,0,0.000000," ","integrate((2*x^8-a*x^4+b)/(a*x^4+b)^(1/4)/(x^8-2*a*x^4-b),x, algorithm=""maxima"")","\int \frac{2 \, x^{8} - a x^{4} + b}{{\left(x^{8} - 2 \, a x^{4} - b\right)} {\left(a x^{4} + b\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((2*x^8 - a*x^4 + b)/((x^8 - 2*a*x^4 - b)*(a*x^4 + b)^(1/4)), x)","F",0
3069,0,0,0,0.000000," ","integrate((a^2*x^2-b)^(1/2)/(c+(a*x+(a^2*x^2-b)^(1/2))^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{a^{2} x^{2} - b}}{\sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} - b}}}}\,{d x}"," ",0,"integrate(sqrt(a^2*x^2 - b)/sqrt(c + sqrt(a*x + sqrt(a^2*x^2 - b))), x)","F",0
3070,0,0,0,0.000000," ","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=""maxima"")","\int \frac{x + 1}{{\left(8 \, x^{8} + 84 \, x^{7} + 338 \, x^{6} + 679 \, x^{5} + 825 \, x^{4} + 784 \, x^{3} + 522 \, x^{2} + 189 \, x + 27\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((x + 1)/(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)","F",0
3071,0,0,0,0.000000," ","integrate((k^2*x^4-1)/((-x^2+1)*(-k^2*x^2+1))^(1/2)/(k^2*x^4+1),x, algorithm=""maxima"")","\int \frac{k^{2} x^{4} - 1}{{\left(k^{2} x^{4} + 1\right)} \sqrt{{\left(k^{2} x^{2} - 1\right)} {\left(x^{2} - 1\right)}}}\,{d x}"," ",0,"integrate((k^2*x^4 - 1)/((k^2*x^4 + 1)*sqrt((k^2*x^2 - 1)*(x^2 - 1))), x)","F",0
3072,0,0,0,0.000000," ","integrate((1+2*x)/(x^2-1)^(1/3)/(x^2+3),x, algorithm=""maxima"")","\int \frac{2 \, x + 1}{{\left(x^{2} + 3\right)} {\left(x^{2} - 1\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((2*x + 1)/((x^2 + 3)*(x^2 - 1)^(1/3)), x)","F",0
3073,0,0,0,0.000000," ","integrate(x/(1-(1-(1-1/x)^(1/2))^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{-\sqrt{-\sqrt{-\frac{1}{x} + 1} + 1} + 1}}\,{d x}"," ",0,"integrate(x/sqrt(-sqrt(-sqrt(-1/x + 1) + 1) + 1), x)","F",0
3074,0,0,0,0.000000," ","integrate((x^6-x^2)^(1/4)*(x^8-x^4+1)/x^4/(x^4+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{8} - x^{4} + 1\right)} {\left(x^{6} - x^{2}\right)}^{\frac{1}{4}}}{{\left(x^{4} + 1\right)} x^{4}}\,{d x}"," ",0,"integrate((x^8 - x^4 + 1)*(x^6 - x^2)^(1/4)/((x^4 + 1)*x^4), x)","F",0
3075,0,0,0,0.000000," ","integrate((x^6-x^2)^(1/4)*(x^8-x^4+1)/x^4/(x^4+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{8} - x^{4} + 1\right)} {\left(x^{6} - x^{2}\right)}^{\frac{1}{4}}}{{\left(x^{4} + 1\right)} x^{4}}\,{d x}"," ",0,"integrate((x^8 - x^4 + 1)*(x^6 - x^2)^(1/4)/((x^4 + 1)*x^4), x)","F",0
3076,0,0,0,0.000000," ","integrate((x^6-x^2)^(1/4)*(x^8+x^4+1)/x^4/(x^4+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{8} + x^{4} + 1\right)} {\left(x^{6} - x^{2}\right)}^{\frac{1}{4}}}{{\left(x^{4} + 1\right)} x^{4}}\,{d x}"," ",0,"integrate((x^8 + x^4 + 1)*(x^6 - x^2)^(1/4)/((x^4 + 1)*x^4), x)","F",0
3077,0,0,0,0.000000," ","integrate((x^6-x^2)^(1/4)*(x^8+x^4+1)/x^4/(x^4+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{8} + x^{4} + 1\right)} {\left(x^{6} - x^{2}\right)}^{\frac{1}{4}}}{{\left(x^{4} + 1\right)} x^{4}}\,{d x}"," ",0,"integrate((x^8 + x^4 + 1)*(x^6 - x^2)^(1/4)/((x^4 + 1)*x^4), x)","F",0
3078,0,0,0,0.000000," ","integrate((a^3*x^3+b^2*x^2)^(1/3)/(a*x-b),x, algorithm=""maxima"")","\int \frac{{\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}{a x - b}\,{d x}"," ",0,"integrate((a^3*x^3 + b^2*x^2)^(1/3)/(a*x - b), x)","F",0
3079,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\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}}}}\,{d x}"," ",0,"integrate(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)))), x)","F",0
3080,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{6} + x^{4} - 2 \, x^{2} + 1\right)} {\left(x^{2} - 3\right)}}{x^{10} \left(\frac{b x^{3} + a x^{2} - a}{d x^{3} + c x^{2} - c}\right)^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((x^6 + x^4 - 2*x^2 + 1)*(x^2 - 3)/(x^10*((b*x^3 + a*x^2 - a)/(d*x^3 + c*x^2 - c))^(1/4)), x)","F",0
3081,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(x^{4} + 1\right)} \sqrt{x + \sqrt{x^{2} + 1}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{x^{4} - 1}\,{d x}"," ",0,"-integrate((x^4 + 1)*sqrt(x + sqrt(x^2 + 1))*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/(x^4 - 1), x)","F",0
3082,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{{\left(x^{4} + 1\right)} \sqrt{x + \sqrt{x^{2} + 1}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{x^{4} - 1}\,{d x}"," ",0,"-integrate((x^4 + 1)*sqrt(x + sqrt(x^2 + 1))*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/(x^4 - 1), x)","F",0
3083,0,0,0,0.000000," ","integrate((a^2*x^2+b)^(1/2)*(c+(a*x+(a^2*x^2+b)^(1/2))^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{a^{2} x^{2} + b} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}}\,{d x}"," ",0,"integrate(sqrt(a^2*x^2 + b)*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b))), x)","F",0
3084,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{{\left(x^{6} - 13 \, x^{5} + 65 \, x^{4} - 150 \, x^{3} + 135 \, x^{2} + 27 \, x - 81\right)}^{3}}}{x - 1}\,{d x}"," ",0,"integrate(sqrt((x^6 - 13*x^5 + 65*x^4 - 150*x^3 + 135*x^2 + 27*x - 81)^3)/(x - 1), x)","F",0
3085,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{4} + x^{2} + 1\right)}^{2} \sqrt{x^{2} + \sqrt{x^{4} + 1}}}{{\left(x^{4} + x^{2} - 1\right)}^{2} \sqrt{x^{4} + 1}}\,{d x}"," ",0,"integrate((x^4 + x^2 + 1)^2*sqrt(x^2 + sqrt(x^4 + 1))/((x^4 + x^2 - 1)^2*sqrt(x^4 + 1)), x)","F",0
3086,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{4} + x^{2} + 1\right)}^{2} \sqrt{x^{2} + \sqrt{x^{4} + 1}}}{{\left(x^{4} + x^{2} - 1\right)}^{2} \sqrt{x^{4} + 1}}\,{d x}"," ",0,"integrate((x^4 + x^2 + 1)^2*sqrt(x^2 + sqrt(x^4 + 1))/((x^4 + x^2 - 1)^2*sqrt(x^4 + 1)), x)","F",0
3087,0,0,0,0.000000," ","integrate((p*x^4-q)*(p*x^4+q)^(1/2)/x^2/(a*p*x^4+b*x^2+a*q),x, algorithm=""maxima"")","\int \frac{\sqrt{p x^{4} + q} {\left(p x^{4} - q\right)}}{{\left(a p x^{4} + b x^{2} + a q\right)} x^{2}}\,{d x}"," ",0,"integrate(sqrt(p*x^4 + q)*(p*x^4 - q)/((a*p*x^4 + b*x^2 + a*q)*x^2), x)","F",0
3088,0,0,0,0.000000," ","integrate((a^3*x^3+b^2*x^2)^(1/3)/(a*x+b),x, algorithm=""maxima"")","\int \frac{{\left(a^{3} x^{3} + b^{2} x^{2}\right)}^{\frac{1}{3}}}{a x + b}\,{d x}"," ",0,"integrate((a^3*x^3 + b^2*x^2)^(1/3)/(a*x + b), x)","F",0
3089,0,0,0,0.000000," ","integrate((a^2*x^2-b)^(3/2)*(a*x+(a^2*x^2-b)^(1/2))^(1/4)/x,x, algorithm=""maxima"")","\int \frac{{\left(a^{2} x^{2} - b\right)}^{\frac{3}{2}} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}}{x}\,{d x}"," ",0,"integrate((a^2*x^2 - b)^(3/2)*(a*x + sqrt(a^2*x^2 - b))^(1/4)/x, x)","F",0
3090,0,0,0,0.000000," ","integrate((a*x^2+b^2)*(b+(a*x^2+b^2)^(1/2))^(1/2)/(a*x^2-b^2),x, algorithm=""maxima"")","\int \frac{{\left(a x^{2} + b^{2}\right)} \sqrt{b + \sqrt{a x^{2} + b^{2}}}}{a x^{2} - b^{2}}\,{d x}"," ",0,"integrate((a*x^2 + b^2)*sqrt(b + sqrt(a*x^2 + b^2))/(a*x^2 - b^2), x)","F",0
3091,0,0,0,0.000000," ","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=""maxima"")","\int \frac{c x^{4} + d}{\sqrt{a^{2} x^{2} - b} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}} x}\,{d x}"," ",0,"integrate((c*x^4 + d)/(sqrt(a^2*x^2 - b)*(a*x + sqrt(a^2*x^2 - b))^(1/4)*x), x)","F",0
3092,0,0,0,0.000000," ","integrate((a^2*x^2-b)^(3/2)*(a*x+(a^2*x^2-b)^(1/2))^(1/4)/x^2,x, algorithm=""maxima"")","\int \frac{{\left(a^{2} x^{2} - b\right)}^{\frac{3}{2}} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}}{x^{2}}\,{d x}"," ",0,"integrate((a^2*x^2 - b)^(3/2)*(a*x + sqrt(a^2*x^2 - b))^(1/4)/x^2, x)","F",0
3093,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{b - x}{\left(-{\left(a - x\right)} {\left(b - x\right)}^{2}\right)^{\frac{1}{3}} {\left(b^{2} d + {\left(d - 1\right)} x^{2} - a^{2} - 2 \, {\left(b d - a\right)} x\right)}}\,{d x}"," ",0,"-integrate((b - x)/((-(a - x)*(b - x)^2)^(1/3)*(b^2*d + (d - 1)*x^2 - a^2 - 2*(b*d - a)*x)), x)","F",0
3094,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{b - x}{\left(-{\left(a - x\right)} {\left(b - x\right)}^{2}\right)^{\frac{1}{3}} {\left(b^{2} d + {\left(d - 1\right)} x^{2} - a^{2} - 2 \, {\left(b d - a\right)} x\right)}}\,{d x}"," ",0,"-integrate((b - x)/((-(a - x)*(b - x)^2)^(1/3)*(b^2*d + (d - 1)*x^2 - a^2 - 2*(b*d - a)*x)), x)","F",0
3095,0,0,0,0.000000," ","integrate((a*x^2+b^2)/(a*x^2-b^2)/(b+(a*x^2+b^2)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{a x^{2} + b^{2}}{{\left(a x^{2} - b^{2}\right)} \sqrt{b + \sqrt{a x^{2} + b^{2}}}}\,{d x}"," ",0,"integrate((a*x^2 + b^2)/((a*x^2 - b^2)*sqrt(b + sqrt(a*x^2 + b^2))), x)","F",0
3096,0,0,0,0.000000," ","integrate(1/((-a+x)*(-b+x)^2)^(1/3)/(a-b*d+(-1+d)*x),x, algorithm=""maxima"")","-\int \frac{1}{\left(-{\left(a - x\right)} {\left(b - x\right)}^{2}\right)^{\frac{1}{3}} {\left(b d - {\left(d - 1\right)} x - a\right)}}\,{d x}"," ",0,"-integrate(1/((-(a - x)*(b - x)^2)^(1/3)*(b*d - (d - 1)*x - a)), x)","F",0
3097,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{a^{2} x^{4} + b} \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}{c x^{2} + d}\,{d x}"," ",0,"integrate(sqrt(a^2*x^4 + b)*sqrt(a*x^2 + sqrt(a^2*x^4 + b))/(c*x^2 + d), x)","F",0
3098,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{a^{2} x^{4} + b} \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}{c x^{2} + d}\,{d x}"," ",0,"integrate(sqrt(a^2*x^4 + b)*sqrt(a*x^2 + sqrt(a^2*x^4 + b))/(c*x^2 + d), x)","F",0
3099,0,0,0,0.000000," ","integrate((x^2+(x^4+1)^(1/2))^(1/2)/(a*x+1),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{2} + \sqrt{x^{4} + 1}}}{a x + 1}\,{d x}"," ",0,"integrate(sqrt(x^2 + sqrt(x^4 + 1))/(a*x + 1), x)","F",0
3100,0,0,0,0.000000," ","integrate(1/(_C4+((_C1*x+_C0)/(_C3*x+_C2))^(1/2)*_C5)^(1/2)/(_C7*x+_C6),x, algorithm=""maxima"")","\int \frac{1}{{\left(_{C_{7}} x + _{C_{6}}\right)} \sqrt{_{C_{5}} \sqrt{\frac{_{C_{1}} x + _{C_{0}}}{_{C_{3}} x + _{C_{2}}}} + _{C_{4}}}}\,{d x}"," ",0,"integrate(1/((_C7*x + _C6)*sqrt(_C5*sqrt((_C1*x + _C0)/(_C3*x + _C2)) + _C4)), x)","F",0
3101,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{b - x}{\left(-{\left(a - x\right)} {\left(b - x\right)}^{2}\right)^{\frac{1}{3}} {\left(a^{2} d + {\left(d - 1\right)} x^{2} - b^{2} - 2 \, {\left(a d - b\right)} x\right)}}\,{d x}"," ",0,"-integrate((b - x)/((-(a - x)*(b - x)^2)^(1/3)*(a^2*d + (d - 1)*x^2 - b^2 - 2*(a*d - b)*x)), x)","F",0
3102,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a x^{2} + b^{2}\right)}^{2}}{{\left(a x^{2} - b^{2}\right)}^{2} \sqrt{b + \sqrt{a x^{2} + b^{2}}}}\,{d x}"," ",0,"integrate((a*x^2 + b^2)^2/((a*x^2 - b^2)^2*sqrt(b + sqrt(a*x^2 + b^2))), x)","F",0
3103,0,0,0,0.000000," ","integrate((a*x+(a*x-b)^(1/2))^(1/2)/(a*x-b)^(1/2)/(a^2*x^2+1),x, algorithm=""maxima"")","\int \frac{\sqrt{a x + \sqrt{a x - b}}}{{\left(a^{2} x^{2} + 1\right)} \sqrt{a x - b}}\,{d x}"," ",0,"integrate(sqrt(a*x + sqrt(a*x - b))/((a^2*x^2 + 1)*sqrt(a*x - b)), x)","F",0
3104,0,0,0,0.000000," ","integrate((x^4+1)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^4+1),x, algorithm=""maxima"")","-\int \frac{{\left(x^{4} + 1\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{x^{4} - 1}\,{d x}"," ",0,"-integrate((x^4 + 1)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/(x^4 - 1), x)","F",0
3105,0,0,0,0.000000," ","integrate((x^4+1)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^4+1),x, algorithm=""maxima"")","-\int \frac{{\left(x^{4} + 1\right)} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{x^{4} - 1}\,{d x}"," ",0,"-integrate((x^4 + 1)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/(x^4 - 1), x)","F",0
3106,0,0,0,0.000000," ","integrate((x^2+1)^(5/2)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^2+1)^2,x, algorithm=""maxima"")","\int \frac{{\left(x^{2} + 1\right)}^{\frac{5}{2}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{{\left(x^{2} - 1\right)}^{2}}\,{d x}"," ",0,"integrate((x^2 + 1)^(5/2)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/(x^2 - 1)^2, x)","F",0
3107,0,0,0,0.000000," ","integrate((x^2+1)^(5/2)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(-x^2+1)^2,x, algorithm=""maxima"")","\int \frac{{\left(x^{2} + 1\right)}^{\frac{5}{2}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{{\left(x^{2} - 1\right)}^{2}}\,{d x}"," ",0,"integrate((x^2 + 1)^(5/2)*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/(x^2 - 1)^2, x)","F",0
3108,0,0,0,0.000000," ","integrate((x^4+1)^(1/2)/(1+x)^3/(x^2+(x^4+1)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{x^{4} + 1}}{\sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(x + 1\right)}^{3}}\,{d x}"," ",0,"integrate(sqrt(x^4 + 1)/(sqrt(x^2 + sqrt(x^4 + 1))*(x + 1)^3), x)","F",0
3109,0,0,0,0.000000," ","integrate(x^2/(1-(1-(1-1/x)^(1/2))^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{\sqrt{-\sqrt{-\sqrt{-\frac{1}{x} + 1} + 1} + 1}}\,{d x}"," ",0,"integrate(x^2/sqrt(-sqrt(-sqrt(-1/x + 1) + 1) + 1), x)","F",0
3110,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a x^{2} - b x - a\right)} {\left(x^{2} + 1\right)}}{{\left(c x^{2} + d x - c\right)} x^{2} \left(\frac{_{C_{0}} x - x^{2} + 1}{_{C_{1}} x - x^{2} + 1}\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((a*x^2 - b*x - a)*(x^2 + 1)/((c*x^2 + d*x - c)*x^2*((_C0*x - x^2 + 1)/(_C1*x - x^2 + 1))^(1/3)), x)","F",0
3111,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{2} + 1\right)}^{2} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{{\left(x^{2} - 1\right)}^{2} \sqrt{x + \sqrt{x^{2} + 1}}}\,{d x}"," ",0,"integrate((x^2 + 1)^2*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/((x^2 - 1)^2*sqrt(x + sqrt(x^2 + 1))), x)","F",0
3112,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{2} + 1\right)}^{2} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{{\left(x^{2} - 1\right)}^{2} \sqrt{x + \sqrt{x^{2} + 1}}}\,{d x}"," ",0,"integrate((x^2 + 1)^2*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/((x^2 - 1)^2*sqrt(x + sqrt(x^2 + 1))), x)","F",0
3113,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{2} + 1\right)}^{2} \sqrt{x + \sqrt{x^{2} + 1}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{{\left(x^{2} - 1\right)}^{2}}\,{d x}"," ",0,"integrate((x^2 + 1)^2*sqrt(x + sqrt(x^2 + 1))*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/(x^2 - 1)^2, x)","F",0
3114,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(x^{2} + 1\right)}^{2} \sqrt{x + \sqrt{x^{2} + 1}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{{\left(x^{2} - 1\right)}^{2}}\,{d x}"," ",0,"integrate((x^2 + 1)^2*sqrt(x + sqrt(x^2 + 1))*sqrt(sqrt(x + sqrt(x^2 + 1)) + 1)/(x^2 - 1)^2, x)","F",0
3115,0,0,0,0.000000," ","integrate(x^2/(1+(a*x+(a^2*x^2-b)^(1/2))^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{\sqrt{\sqrt{a x + \sqrt{a^{2} x^{2} - b}} + 1}}\,{d x}"," ",0,"integrate(x^2/sqrt(sqrt(a*x + sqrt(a^2*x^2 - b)) + 1), x)","F",0
3116,0,0,0,0.000000," ","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=""maxima"")","\int \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}}\,{d x}"," ",0,"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)","F",0
3117,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{a^{2} x^{2} - b} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{3}}}{{\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{3}}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(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))^(1/4), x)","F",0
3118,0,0,0,0.000000," ","integrate((a*x+(a^2*x^2-b)^(1/2))^(1/6)/x^3/(a^2*x^2-b)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{6}}}{\sqrt{a^{2} x^{2} - b} x^{3}}\,{d x}"," ",0,"integrate((a*x + sqrt(a^2*x^2 - b))^(1/6)/(sqrt(a^2*x^2 - b)*x^3), x)","F",0
3119,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(_{C_{3}} x^{2} - _{C_{4}}\right)} x^{2} \left(\frac{_{C_{3}} x^{2} + _{C_{0}} x + _{C_{4}}}{_{C_{3}} x^{2} + _{C_{1}} x + _{C_{4}}}\right)^{\frac{1}{4}}}{{\left(_{C_{3}}^{2} x^{4} + 2 \, _{C_{3}} _{C_{4}} x^{2} + _{C_{4}}^{2} + x^{2}\right)} {\left(_{C_{3}} x^{2} + _{C_{4}} + x\right)} {\left(_{C_{3}} x^{2} + _{C_{4}} - x\right)}}\,{d x}"," ",0,"integrate((_C3*x^2 - _C4)*x^2*((_C3*x^2 + _C0*x + _C4)/(_C3*x^2 + _C1*x + _C4))^(1/4)/((_C3^2*x^4 + 2*_C3*_C4*x^2 + _C4^2 + x^2)*(_C3*x^2 + _C4 + x)*(_C3*x^2 + _C4 - x)), x)","F",0
3120,0,0,0,0.000000," ","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=""maxima"")","\int \frac{1}{{\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((a*x + sqrt(a^2*x^2 - b))^(1/4)*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3)), x)","F",0
3121,0,0,0,0.000000," ","integrate(1/(c+(a*x+(a^2*x^2-b)^(1/2))^(1/4))^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(-1/3), x)","F",0
3122,0,0,0,0.000000," ","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=""maxima"")","\int \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}}\,{d x}"," ",0,"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)","F",0
3123,0,0,0,0.000000," ","integrate((c+(a*x+(a^2*x^2-b)^(1/2))^(1/4))^(1/3),x, algorithm=""maxima"")","\int {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}}\,{d x}"," ",0,"integrate((c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3), x)","F",0
3124,0,0,0,0.000000," ","integrate((a*x+(a^2*x^2-b)^(1/2))^(1/4)/x/(a^2*x^2-b)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}}{{\left(a^{2} x^{2} - b\right)}^{\frac{3}{2}} x}\,{d x}"," ",0,"integrate((a*x + sqrt(a^2*x^2 - b))^(1/4)/((a^2*x^2 - b)^(3/2)*x), x)","F",0
3125,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(2 \, _{C_{3}} x^{3} - _{C_{4}}\right)} x}{{\left(_{C_{3}}^{2} x^{6} + 2 \, _{C_{3}} _{C_{4}} x^{3} + _{C_{3}} x^{4} + _{C_{4}}^{2} + _{C_{4}} x + x^{2}\right)} {\left(_{C_{3}} x^{3} + _{C_{4}} - x\right)} \left(\frac{_{C_{3}} x^{3} + _{C_{0}} x + _{C_{4}}}{_{C_{3}} x^{3} + _{C_{1}} x + _{C_{4}}}\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((2*_C3*x^3 - _C4)*x/((_C3^2*x^6 + 2*_C3*_C4*x^3 + _C3*x^4 + _C4^2 + _C4*x + x^2)*(_C3*x^3 + _C4 - x)*((_C3*x^3 + _C0*x + _C4)/(_C3*x^3 + _C1*x + _C4))^(1/3)), x)","F",0
3126,0,0,0,0.000000," ","integrate((c*x-d)*(a*x+(a^2*x^2+b^2)^(1/2))^(1/2)/(c*x+d),x, algorithm=""maxima"")","\int \frac{\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} {\left(c x - d\right)}}{c x + d}\,{d x}"," ",0,"integrate(sqrt(a*x + sqrt(a^2*x^2 + b^2))*(c*x - d)/(c*x + d), x)","F",0
3127,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\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}}}{x^{3}}\,{d x}"," ",0,"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)","F",0
3128,0,0,0,0.000000," ","integrate(1/(a*b*c-(a*b*x+c)^2*(a*x^2+b*x+c)^(1/2)),x, algorithm=""maxima"")","\int \frac{1}{a b c - {\left(a b x + c\right)}^{2} \sqrt{a x^{2} + b x + c}}\,{d x}"," ",0,"integrate(1/(a*b*c - (a*b*x + c)^2*sqrt(a*x^2 + b*x + c)), x)","F",0
3129,0,0,0,0.000000," ","integrate((a*x+(a^2*x^2-b)^(1/2))^(1/4)/x^2/(a^2*x^2-b)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}}{{\left(a^{2} x^{2} - b\right)}^{\frac{3}{2}} x^{2}}\,{d x}"," ",0,"integrate((a*x + sqrt(a^2*x^2 - b))^(1/4)/((a^2*x^2 - b)^(3/2)*x^2), x)","F",0
3130,0,0,0,0.000000," ","integrate((x^2-1)*(_C4+((_C1*x+_C0)/(_C3*x+_C2))^(1/2)*_C5)^(1/2)/(x^2+1),x, algorithm=""maxima"")","\int \frac{{\left(x^{2} - 1\right)} \sqrt{_{C_{5}} \sqrt{\frac{_{C_{1}} x + _{C_{0}}}{_{C_{3}} x + _{C_{2}}}} + _{C_{4}}}}{x^{2} + 1}\,{d x}"," ",0,"integrate((x^2 - 1)*sqrt(_C5*sqrt((_C1*x + _C0)/(_C3*x + _C2)) + _C4)/(x^2 + 1), x)","F",0
3131,0,0,0,0.000000," ","integrate((a^2*x^2-b)^(1/2)/(c+(a*x+(a^2*x^2-b)^(1/2))^(1/3))^(1/4),x, algorithm=""maxima"")","\int \frac{\sqrt{a^{2} x^{2} - b}}{{\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{3}}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(sqrt(a^2*x^2 - b)/(c + (a*x + sqrt(a^2*x^2 - b))^(1/3))^(1/4), x)","F",0
3132,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{a^{2} x^{2} - b}}{{\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{3}} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{3}}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(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))^(1/4)), x)","F",0
3133,0,0,0,0.000000," ","integrate((a*x^4+b)*(a*x^4-c*x^2-b)^(1/2)/(a*x^4-b)^2,x, algorithm=""maxima"")","\int \frac{\sqrt{a x^{4} - c x^{2} - b} {\left(a x^{4} + b\right)}}{{\left(a x^{4} - b\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(a*x^4 - c*x^2 - b)*(a*x^4 + b)/(a*x^4 - b)^2, x)","F",0
3134,0,0,0,0.000000," ","integrate((-a-b*c+(1+c)*x)/((-a+x)*(-b+x)^2)^(2/3)/(a-b*d+(-1+d)*x),x, algorithm=""maxima"")","\int \frac{b c - {\left(c + 1\right)} x + a}{\left(-{\left(a - x\right)} {\left(b - x\right)}^{2}\right)^{\frac{2}{3}} {\left(b d - {\left(d - 1\right)} x - a\right)}}\,{d x}"," ",0,"integrate((b*c - (c + 1)*x + a)/((-(a - x)*(b - x)^2)^(2/3)*(b*d - (d - 1)*x - a)), x)","F",0
3135,0,0,0,0.000000," ","integrate((-a-b*c+(1+c)*x)/(-b+x)/((-a+x)*(-b+x)^2)^(1/3)/(a-b*d+(-1+d)*x),x, algorithm=""maxima"")","-\int \frac{b c - {\left(c + 1\right)} x + a}{\left(-{\left(a - x\right)} {\left(b - x\right)}^{2}\right)^{\frac{1}{3}} {\left(b d - {\left(d - 1\right)} x - a\right)} {\left(b - x\right)}}\,{d x}"," ",0,"-integrate((b*c - (c + 1)*x + a)/((-(a - x)*(b - x)^2)^(1/3)*(b*d - (d - 1)*x - a)*(b - x)), x)","F",0
3136,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(c x^{2} + d\right)} {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{5}{4}}}{{\left(a^{2} x^{2} - b\right)}^{\frac{5}{2}} x}\,{d x}"," ",0,"integrate((c*x^2 + d)*(a*x + sqrt(a^2*x^2 - b))^(5/4)/((a^2*x^2 - b)^(5/2)*x), x)","F",0
3137,-2,0,0,0.000000," ","integrate(1/(_C4+((_C1*x+_C0)/(_C3*x+_C2))^(1/2)*_C5)^(1/2)/(_C7*x+_C6)^2,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.","F(-2)",0
3138,-2,0,0,0.000000," ","integrate(((-b*x+1)/(c+x))^(1/6)*(d*x^2+1)/(b*x+1)/(c*x+1),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b*c-1>0)', see `assume?` for more details)Is b*c-1 positive or negative?","F(-2)",0
3139,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{a^{2} x^{2} - b} {\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}}}\,{d x}"," ",0,"integrate(sqrt(a^2*x^2 - b)*(a*x + sqrt(a^2*x^2 - b))^(3/4)/(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(2/3), x)","F",0
3140,0,0,0,0.000000," ","integrate((_C7*x+_C6)/(_C4+((_C1*x+_C0)/(_C3*x+_C2))^(1/2)*_C5)^(1/2),x, algorithm=""maxima"")","\int \frac{_{C_{7}} x + _{C_{6}}}{\sqrt{_{C_{5}} \sqrt{\frac{_{C_{1}} x + _{C_{0}}}{_{C_{3}} x + _{C_{2}}}} + _{C_{4}}}}\,{d x}"," ",0,"integrate((_C7*x + _C6)/sqrt(_C5*sqrt((_C1*x + _C0)/(_C3*x + _C2)) + _C4), x)","F",0
3141,0,0,0,0.000000," ","integrate((a^2*x^2-b)^(1/2)/(c+(a*x+(a^2*x^2-b)^(1/2))^(1/4))^(2/3),x, algorithm=""maxima"")","\int \frac{\sqrt{a^{2} x^{2} - b}}{{\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(sqrt(a^2*x^2 - b)/(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(2/3), x)","F",0
3142,0,0,0,0.000000," ","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=""maxima"")","\int {\left(a^{2} x^{2} + b\right)}^{\frac{3}{2}} \sqrt{a x + \sqrt{a^{2} x^{2} + b}} \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}}\,{d x}"," ",0,"integrate((a^2*x^2 + b)^(3/2)*sqrt(a*x + sqrt(a^2*x^2 + b))*sqrt(c + sqrt(a*x + sqrt(a^2*x^2 + b))), x)","F",0
3143,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{a^{2} x^{2} - b} {\left(c + {\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}\right)}^{\frac{1}{3}}}{{\left(a x + \sqrt{a^{2} x^{2} - b}\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(sqrt(a^2*x^2 - b)*(c + (a*x + sqrt(a^2*x^2 - b))^(1/4))^(1/3)/(a*x + sqrt(a^2*x^2 - b))^(1/4), x)","F",0
3144,0,0,0,0.000000," ","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=""maxima"")","\int \frac{a^{2} x^{2} + a b c - b^{2} x}{\sqrt{a x^{2} + b x + c} {\left(b x^{2} + c\right)}^{2}}\,{d x}"," ",0,"integrate((a^2*x^2 + a*b*c - b^2*x)/(sqrt(a*x^2 + b*x + c)*(b*x^2 + c)^2), x)","F",0
3145,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a x^{2} + b^{2}\right)}^{2} \sqrt{b + \sqrt{a x^{2} + b^{2}}}}{{\left(a x^{2} - b^{2}\right)}^{2}}\,{d x}"," ",0,"integrate((a*x^2 + b^2)^2*sqrt(b + sqrt(a*x^2 + b^2))/(a*x^2 - b^2)^2, x)","F",0
3146,0,0,0,0.000000," ","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=""maxima"")","\int \frac{\sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}{\sqrt{a^{2} x^{4} + b} {\left(c x + d\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(a*x^2 + sqrt(a^2*x^4 + b))/(sqrt(a^2*x^4 + b)*(c*x + d)^2), x)","F",0
3147,0,0,0,0.000000," ","integrate((-b-a*c+(1+c)*x)/(-a+x)/((-a+x)*(-b+x)^2)^(1/3)/(b-a*d+(-1+d)*x),x, algorithm=""maxima"")","-\int \frac{a c - {\left(c + 1\right)} x + b}{\left(-{\left(a - x\right)} {\left(b - x\right)}^{2}\right)^{\frac{1}{3}} {\left(a d - {\left(d - 1\right)} x - b\right)} {\left(a - x\right)}}\,{d x}"," ",0,"-integrate((a*c - (c + 1)*x + b)/((-(a - x)*(b - x)^2)^(1/3)*(a*d - (d - 1)*x - b)*(a - x)), x)","F",0
3148,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{b c - {\left(c + 1\right)} x + a}{\left(-{\left(a - x\right)} {\left(b - x\right)}^{2}\right)^{\frac{1}{3}} {\left(b^{2} d + {\left(d - 1\right)} x^{2} - a^{2} - 2 \, {\left(b d - a\right)} x\right)}}\,{d x}"," ",0,"-integrate((b*c - (c + 1)*x + a)/((-(a - x)*(b - x)^2)^(1/3)*(b^2*d + (d - 1)*x^2 - a^2 - 2*(b*d - a)*x)), x)","F",0
3149,0,0,0,0.000000," ","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=""maxima"")","-\int \frac{a c - {\left(c + 1\right)} x + b}{\left(-{\left(a - x\right)} {\left(b - x\right)}^{2}\right)^{\frac{1}{3}} {\left(a^{2} d + {\left(d - 1\right)} x^{2} - b^{2} - 2 \, {\left(a d - b\right)} x\right)}}\,{d x}"," ",0,"-integrate((a*c - (c + 1)*x + b)/((-(a - x)*(b - x)^2)^(1/3)*(a^2*d + (d - 1)*x^2 - b^2 - 2*(a*d - b)*x)), x)","F",0
3150,0,0,0,0.000000," ","integrate((_C9*x+_C8)/(_C4+((_C1*x+_C0)/(_C3*x+_C2))^(1/2)*_C5)^(1/2)/(_C7*x+_C6),x, algorithm=""maxima"")","\int \frac{_{C_{9}} x + _{C_{8}}}{{\left(_{C_{7}} x + _{C_{6}}\right)} \sqrt{_{C_{5}} \sqrt{\frac{_{C_{1}} x + _{C_{0}}}{_{C_{3}} x + _{C_{2}}}} + _{C_{4}}}}\,{d x}"," ",0,"integrate((_C9*x + _C8)/((_C7*x + _C6)*sqrt(_C5*sqrt((_C1*x + _C0)/(_C3*x + _C2)) + _C4)), x)","F",0
3151,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(b c - {\left(c + 1\right)} x + a\right)} {\left(b - x\right)}}{\left(-{\left(a - x\right)} {\left(b - x\right)}^{2}\right)^{\frac{2}{3}} {\left(b^{2} d + {\left(d - 1\right)} x^{2} - a^{2} - 2 \, {\left(b d - a\right)} x\right)}}\,{d x}"," ",0,"integrate((b*c - (c + 1)*x + a)*(b - x)/((-(a - x)*(b - x)^2)^(2/3)*(b^2*d + (d - 1)*x^2 - a^2 - 2*(b*d - a)*x)), x)","F",0
3152,0,0,0,0.000000," ","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=""maxima"")","\int \frac{{\left(a c - {\left(c + 1\right)} x + b\right)} {\left(b - x\right)}}{\left(-{\left(a - x\right)} {\left(b - x\right)}^{2}\right)^{\frac{2}{3}} {\left(a^{2} d + {\left(d - 1\right)} x^{2} - b^{2} - 2 \, {\left(a d - b\right)} x\right)}}\,{d x}"," ",0,"integrate((a*c - (c + 1)*x + b)*(b - x)/((-(a - x)*(b - x)^2)^(2/3)*(a^2*d + (d - 1)*x^2 - b^2 - 2*(a*d - b)*x)), x)","F",0
3153,1,2606,0,0.966540," ","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=""maxima"")","-\frac{2 \, {\left(a^{3} b^{7} c^{2} - b^{10} c - {\left(a^{8} c - a^{5} b^{3}\right)} d^{3} + {\left(a^{7} b c^{2} - 2 \, a^{3} b^{6} + {\left(2 \, a^{6} b^{3} - a^{4} b^{4}\right)} c\right)} d^{2} - {\left(2 \, a^{5} b^{4} c^{2} - a b^{9} + {\left(a^{4} b^{6} - 2 \, a^{2} b^{7}\right)} c\right)} d\right)} \log\left(b \sqrt{\frac{a x + b}{c x + d}} - a\right)}{a^{3} b^{9} - 4 \, a^{4} b^{7} c + 6 \, a^{5} b^{5} c^{2} - 4 \, a^{6} b^{3} c^{3} + a^{7} b c^{4}} + \frac{{\left(a^{3} b^{6} c^{5} - b^{9} c^{4} + {\left(a^{4} b^{7} - 4 \, a^{5} b^{5} c + 6 \, a^{6} b^{3} c^{2} - {\left(4 \, a^{7} b - a^{5} b^{2}\right)} c^{3}\right)} d^{3} - {\left(a^{3} b^{8} c - 4 \, a^{4} b^{6} c^{2} - {\left(6 \, a^{6} b^{2} - a^{4} b^{3}\right)} c^{4} + 2 \, {\left(3 \, a^{5} b^{4} + a^{3} b^{5}\right)} c^{3}\right)} d^{2} - {\left(2 \, a^{5} b^{3} c^{5} - a b^{8} c^{3} + {\left(a^{4} b^{5} - 2 \, a^{2} b^{6}\right)} c^{4}\right)} d\right)} \log\left(-a + \frac{{\left(a x + b\right)} c}{c x + d}\right)}{a^{3} b^{8} c^{3} - 4 \, a^{4} b^{6} c^{4} + 6 \, a^{5} b^{4} c^{5} - 4 \, a^{6} b^{2} c^{6} + a^{7} c^{7}} - \frac{{\left({\left(a^{5} b^{3} + a^{3} b^{4}\right)} c^{6} - {\left(9 \, a^{4} b^{5} + 5 \, a^{2} b^{6}\right)} c^{5} - 3 \, {\left(3 \, a^{3} b^{7} - 5 \, a b^{8}\right)} c^{4} + {\left(a^{2} b^{9} + 5 \, b^{10}\right)} c^{3} - {\left(5 \, a^{5} b^{6} + a^{3} b^{7} - 5 \, {\left(7 \, a^{8} - a^{6} b\right)} c^{3} + 5 \, {\left(7 \, a^{7} b^{2} + 3 \, a^{5} b^{3}\right)} c^{2} - {\left(21 \, a^{6} b^{4} + 5 \, a^{4} b^{5}\right)} c\right)} d^{3} - {\left(3 \, {\left(15 \, a^{7} b - a^{5} b^{2}\right)} c^{4} - {\left(5 \, a^{6} b^{3} + 33 \, a^{4} b^{4}\right)} c^{3} + {\left(11 \, a^{5} b^{5} - 13 \, a^{3} b^{6}\right)} c^{2} - {\left(3 \, a^{4} b^{7} - a^{2} b^{8}\right)} c\right)} d^{2} + {\left({\left(9 \, a^{6} b^{2} + a^{4} b^{3}\right)} c^{5} + 13 \, {\left(3 \, a^{5} b^{4} - a^{3} b^{5}\right)} c^{4} - {\left(a^{4} b^{6} + 33 \, a^{2} b^{7}\right)} c^{3} + {\left(a^{3} b^{8} - 3 \, a b^{9}\right)} c^{2}\right)} d\right)} \log\left(\frac{c \sqrt{\frac{a x + b}{c x + d}} - \sqrt{a c}}{c \sqrt{\frac{a x + b}{c x + d}} + \sqrt{a c}}\right)}{16 \, {\left(a^{3} b^{8} c^{2} - 4 \, a^{4} b^{6} c^{3} + 6 \, a^{5} b^{4} c^{4} - 4 \, a^{6} b^{2} c^{5} + a^{7} c^{6}\right)} \sqrt{a c}} + \frac{4 \, a^{4} b^{8} c^{3} + 8 \, a^{5} b^{3} c^{6} - 4 \, {\left(2 \, a^{6} b^{4} + 7 \, a^{4} b^{5}\right)} c^{5} - 4 \, {\left(5 \, a^{5} b^{6} - 11 \, a^{3} b^{7}\right)} c^{4} + 4 \, {\left(11 \, a^{7} b^{5} - 2 \, a^{8} c^{3} + {\left(26 \, a^{9} b - 5 \, a^{7} b^{2}\right)} c^{2} - {\left(31 \, a^{8} b^{3} - a^{6} b^{4}\right)} c\right)} d^{3} - 3 \, {\left({\left(a^{4} b^{3} + a^{2} b^{4}\right)} c^{8} + 4 \, {\left(2 \, a^{3} b^{5} - a b^{6}\right)} c^{7} - {\left(a^{2} b^{7} + 5 \, b^{8}\right)} c^{6} - {\left({\left(29 \, a^{7} - 11 \, a^{5} b\right)} c^{5} - 4 \, {\left(8 \, a^{6} b^{2} - a^{4} b^{3}\right)} c^{4} + {\left(11 \, a^{5} b^{4} - a^{3} b^{5}\right)} c^{3}\right)} d^{3} + {\left({\left(51 \, a^{6} b - 13 \, a^{4} b^{2}\right)} c^{6} - 4 \, {\left(10 \, a^{5} b^{3} + 3 \, a^{3} b^{4}\right)} c^{5} + {\left(13 \, a^{4} b^{5} + a^{2} b^{6}\right)} c^{4}\right)} d^{2} + {\left(20 \, a^{2} b^{5} c^{6} - {\left(23 \, a^{5} b^{2} - a^{3} b^{3}\right)} c^{7} - {\left(a^{3} b^{6} - 3 \, a b^{7}\right)} c^{5}\right)} d\right)} \left(\frac{a x + b}{c x + d}\right)^{\frac{5}{2}} - 12 \, {\left(5 \, a^{6} b^{6} c + {\left(16 \, a^{8} b^{2} - 5 \, a^{6} b^{3}\right)} c^{3} - {\left(15 \, a^{7} b^{4} + a^{5} b^{5}\right)} c^{2}\right)} d^{2} - 8 \, {\left({\left(a^{5} b^{3} - a^{3} b^{4}\right)} c^{7} - 2 \, {\left(4 \, a^{4} b^{5} - a^{2} b^{6}\right)} c^{6} + {\left(a^{3} b^{7} + 5 \, a b^{8}\right)} c^{5} + {\left({\left(17 \, a^{8} - 5 \, a^{6} b\right)} c^{4} - 2 \, {\left(8 \, a^{7} b^{2} + a^{5} b^{3}\right)} c^{3} + {\left(5 \, a^{6} b^{4} + a^{4} b^{5}\right)} c^{2}\right)} d^{3} - 3 \, {\left({\left(9 \, a^{7} b - a^{5} b^{2}\right)} c^{5} - 2 \, {\left(2 \, a^{6} b^{3} + 3 \, a^{4} b^{4}\right)} c^{4} + {\left(a^{5} b^{5} + a^{3} b^{6}\right)} c^{3}\right)} d^{2} + 3 \, {\left({\left(3 \, a^{6} b^{2} + a^{4} b^{3}\right)} c^{6} + 2 \, {\left(2 \, a^{5} b^{4} - 3 \, a^{3} b^{5}\right)} c^{5} - {\left(a^{4} b^{6} + a^{2} b^{7}\right)} c^{4}\right)} d\right)} \left(\frac{a x + b}{c x + d}\right)^{\frac{3}{2}} + 12 \, {\left(a^{5} b^{7} c^{2} + {\left(8 \, a^{7} b^{3} - a^{5} b^{4}\right)} c^{4} - {\left(3 \, a^{6} b^{5} + 5 \, a^{4} b^{6}\right)} c^{3}\right)} d + 3 \, {\left({\left(a^{6} b^{3} + a^{4} b^{4}\right)} c^{6} - 4 \, {\left(2 \, a^{5} b^{5} + a^{3} b^{6}\right)} c^{5} - {\left(a^{4} b^{7} - 11 \, a^{2} b^{8}\right)} c^{4} + {\left({\left(19 \, a^{9} - 5 \, a^{7} b\right)} c^{3} - 4 \, {\left(4 \, a^{8} b^{2} + a^{6} b^{3}\right)} c^{2} + {\left(5 \, a^{7} b^{4} + a^{5} b^{5}\right)} c\right)} d^{3} - {\left({\left(29 \, a^{8} b - 3 \, a^{6} b^{2}\right)} c^{4} - 4 \, {\left(2 \, a^{7} b^{3} + 5 \, a^{5} b^{4}\right)} c^{3} + {\left(3 \, a^{6} b^{5} - a^{4} b^{6}\right)} c^{2}\right)} d^{2} + {\left({\left(9 \, a^{7} b^{2} + a^{5} b^{3}\right)} c^{5} + 4 \, {\left(4 \, a^{6} b^{4} - 3 \, a^{4} b^{5}\right)} c^{4} - {\left(a^{5} b^{6} + 13 \, a^{3} b^{7}\right)} c^{3}\right)} d\right)} \sqrt{\frac{a x + b}{c x + d}} - \frac{24 \, {\left(a^{4} b^{4} c^{7} - a b^{7} c^{6} - {\left(3 \, a^{5} b^{5} c^{2} - 8 \, a^{6} b^{3} c^{3} + 6 \, a^{7} b c^{4} - a^{6} c^{5}\right)} d^{3} + {\left(5 \, a^{4} b^{6} c^{3} - 14 \, a^{5} b^{4} c^{4} - a^{5} b c^{6} + 2 \, {\left(6 \, a^{6} b^{2} - a^{4} b^{3}\right)} c^{5}\right)} d^{2} - {\left(2 \, a^{3} b^{7} c^{4} + {\left(7 \, a^{5} b^{3} - 2 \, a^{3} b^{4}\right)} c^{6} - {\left(6 \, a^{4} b^{5} + a^{2} b^{6}\right)} c^{5}\right)} d\right)} {\left(a x + b\right)}^{2}}{{\left(c x + d\right)}^{2}} - \frac{12 \, {\left(a^{3} b^{8} c^{4} - {\left(2 \, a^{5} b^{4} + a^{3} b^{5}\right)} c^{6} - {\left(3 \, a^{4} b^{6} - 5 \, a^{2} b^{7}\right)} c^{5} + {\left(9 \, a^{6} b^{5} c - 2 \, a^{7} c^{4} + {\left(20 \, a^{8} b - 3 \, a^{6} b^{2}\right)} c^{3} - {\left(25 \, a^{7} b^{3} - a^{5} b^{4}\right)} c^{2}\right)} d^{3} - {\left(13 \, a^{5} b^{6} c^{2} + {\left(38 \, a^{7} b^{2} - 13 \, a^{5} b^{3}\right)} c^{4} - {\left(39 \, a^{6} b^{4} - a^{4} b^{5}\right)} c^{3}\right)} d^{2} + {\left(3 \, a^{4} b^{7} c^{3} + 2 \, a^{5} b^{2} c^{6} + {\left(20 \, a^{6} b^{3} - 9 \, a^{4} b^{4}\right)} c^{5} - {\left(11 \, a^{5} b^{5} + 5 \, a^{3} b^{6}\right)} c^{4}\right)} d\right)} {\left(a x + b\right)}}{c x + d}}{24 \, {\left(a^{6} b^{6} c^{3} - 3 \, a^{7} b^{4} c^{4} + 3 \, a^{8} b^{2} c^{5} - a^{9} c^{6} - \frac{{\left(a^{3} b^{6} c^{6} - 3 \, a^{4} b^{4} c^{7} + 3 \, a^{5} b^{2} c^{8} - a^{6} c^{9}\right)} {\left(a x + b\right)}^{3}}{{\left(c x + d\right)}^{3}} + \frac{3 \, {\left(a^{4} b^{6} c^{5} - 3 \, a^{5} b^{4} c^{6} + 3 \, a^{6} b^{2} c^{7} - a^{7} c^{8}\right)} {\left(a x + b\right)}^{2}}{{\left(c x + d\right)}^{2}} - \frac{3 \, {\left(a^{5} b^{6} c^{4} - 3 \, a^{6} b^{4} c^{5} + 3 \, a^{7} b^{2} c^{6} - a^{8} c^{7}\right)} {\left(a x + b\right)}}{c x + d}\right)}}"," ",0,"-2*(a^3*b^7*c^2 - b^10*c - (a^8*c - a^5*b^3)*d^3 + (a^7*b*c^2 - 2*a^3*b^6 + (2*a^6*b^3 - a^4*b^4)*c)*d^2 - (2*a^5*b^4*c^2 - a*b^9 + (a^4*b^6 - 2*a^2*b^7)*c)*d)*log(b*sqrt((a*x + b)/(c*x + d)) - a)/(a^3*b^9 - 4*a^4*b^7*c + 6*a^5*b^5*c^2 - 4*a^6*b^3*c^3 + a^7*b*c^4) + (a^3*b^6*c^5 - b^9*c^4 + (a^4*b^7 - 4*a^5*b^5*c + 6*a^6*b^3*c^2 - (4*a^7*b - a^5*b^2)*c^3)*d^3 - (a^3*b^8*c - 4*a^4*b^6*c^2 - (6*a^6*b^2 - a^4*b^3)*c^4 + 2*(3*a^5*b^4 + a^3*b^5)*c^3)*d^2 - (2*a^5*b^3*c^5 - a*b^8*c^3 + (a^4*b^5 - 2*a^2*b^6)*c^4)*d)*log(-a + (a*x + b)*c/(c*x + d))/(a^3*b^8*c^3 - 4*a^4*b^6*c^4 + 6*a^5*b^4*c^5 - 4*a^6*b^2*c^6 + a^7*c^7) - 1/16*((a^5*b^3 + a^3*b^4)*c^6 - (9*a^4*b^5 + 5*a^2*b^6)*c^5 - 3*(3*a^3*b^7 - 5*a*b^8)*c^4 + (a^2*b^9 + 5*b^10)*c^3 - (5*a^5*b^6 + a^3*b^7 - 5*(7*a^8 - a^6*b)*c^3 + 5*(7*a^7*b^2 + 3*a^5*b^3)*c^2 - (21*a^6*b^4 + 5*a^4*b^5)*c)*d^3 - (3*(15*a^7*b - a^5*b^2)*c^4 - (5*a^6*b^3 + 33*a^4*b^4)*c^3 + (11*a^5*b^5 - 13*a^3*b^6)*c^2 - (3*a^4*b^7 - a^2*b^8)*c)*d^2 + ((9*a^6*b^2 + a^4*b^3)*c^5 + 13*(3*a^5*b^4 - a^3*b^5)*c^4 - (a^4*b^6 + 33*a^2*b^7)*c^3 + (a^3*b^8 - 3*a*b^9)*c^2)*d)*log((c*sqrt((a*x + b)/(c*x + d)) - sqrt(a*c))/(c*sqrt((a*x + b)/(c*x + d)) + sqrt(a*c)))/((a^3*b^8*c^2 - 4*a^4*b^6*c^3 + 6*a^5*b^4*c^4 - 4*a^6*b^2*c^5 + a^7*c^6)*sqrt(a*c)) + 1/24*(4*a^4*b^8*c^3 + 8*a^5*b^3*c^6 - 4*(2*a^6*b^4 + 7*a^4*b^5)*c^5 - 4*(5*a^5*b^6 - 11*a^3*b^7)*c^4 + 4*(11*a^7*b^5 - 2*a^8*c^3 + (26*a^9*b - 5*a^7*b^2)*c^2 - (31*a^8*b^3 - a^6*b^4)*c)*d^3 - 3*((a^4*b^3 + a^2*b^4)*c^8 + 4*(2*a^3*b^5 - a*b^6)*c^7 - (a^2*b^7 + 5*b^8)*c^6 - ((29*a^7 - 11*a^5*b)*c^5 - 4*(8*a^6*b^2 - a^4*b^3)*c^4 + (11*a^5*b^4 - a^3*b^5)*c^3)*d^3 + ((51*a^6*b - 13*a^4*b^2)*c^6 - 4*(10*a^5*b^3 + 3*a^3*b^4)*c^5 + (13*a^4*b^5 + a^2*b^6)*c^4)*d^2 + (20*a^2*b^5*c^6 - (23*a^5*b^2 - a^3*b^3)*c^7 - (a^3*b^6 - 3*a*b^7)*c^5)*d)*((a*x + b)/(c*x + d))^(5/2) - 12*(5*a^6*b^6*c + (16*a^8*b^2 - 5*a^6*b^3)*c^3 - (15*a^7*b^4 + a^5*b^5)*c^2)*d^2 - 8*((a^5*b^3 - a^3*b^4)*c^7 - 2*(4*a^4*b^5 - a^2*b^6)*c^6 + (a^3*b^7 + 5*a*b^8)*c^5 + ((17*a^8 - 5*a^6*b)*c^4 - 2*(8*a^7*b^2 + a^5*b^3)*c^3 + (5*a^6*b^4 + a^4*b^5)*c^2)*d^3 - 3*((9*a^7*b - a^5*b^2)*c^5 - 2*(2*a^6*b^3 + 3*a^4*b^4)*c^4 + (a^5*b^5 + a^3*b^6)*c^3)*d^2 + 3*((3*a^6*b^2 + a^4*b^3)*c^6 + 2*(2*a^5*b^4 - 3*a^3*b^5)*c^5 - (a^4*b^6 + a^2*b^7)*c^4)*d)*((a*x + b)/(c*x + d))^(3/2) + 12*(a^5*b^7*c^2 + (8*a^7*b^3 - a^5*b^4)*c^4 - (3*a^6*b^5 + 5*a^4*b^6)*c^3)*d + 3*((a^6*b^3 + a^4*b^4)*c^6 - 4*(2*a^5*b^5 + a^3*b^6)*c^5 - (a^4*b^7 - 11*a^2*b^8)*c^4 + ((19*a^9 - 5*a^7*b)*c^3 - 4*(4*a^8*b^2 + a^6*b^3)*c^2 + (5*a^7*b^4 + a^5*b^5)*c)*d^3 - ((29*a^8*b - 3*a^6*b^2)*c^4 - 4*(2*a^7*b^3 + 5*a^5*b^4)*c^3 + (3*a^6*b^5 - a^4*b^6)*c^2)*d^2 + ((9*a^7*b^2 + a^5*b^3)*c^5 + 4*(4*a^6*b^4 - 3*a^4*b^5)*c^4 - (a^5*b^6 + 13*a^3*b^7)*c^3)*d)*sqrt((a*x + b)/(c*x + d)) - 24*(a^4*b^4*c^7 - a*b^7*c^6 - (3*a^5*b^5*c^2 - 8*a^6*b^3*c^3 + 6*a^7*b*c^4 - a^6*c^5)*d^3 + (5*a^4*b^6*c^3 - 14*a^5*b^4*c^4 - a^5*b*c^6 + 2*(6*a^6*b^2 - a^4*b^3)*c^5)*d^2 - (2*a^3*b^7*c^4 + (7*a^5*b^3 - 2*a^3*b^4)*c^6 - (6*a^4*b^5 + a^2*b^6)*c^5)*d)*(a*x + b)^2/(c*x + d)^2 - 12*(a^3*b^8*c^4 - (2*a^5*b^4 + a^3*b^5)*c^6 - (3*a^4*b^6 - 5*a^2*b^7)*c^5 + (9*a^6*b^5*c - 2*a^7*c^4 + (20*a^8*b - 3*a^6*b^2)*c^3 - (25*a^7*b^3 - a^5*b^4)*c^2)*d^3 - (13*a^5*b^6*c^2 + (38*a^7*b^2 - 13*a^5*b^3)*c^4 - (39*a^6*b^4 - a^4*b^5)*c^3)*d^2 + (3*a^4*b^7*c^3 + 2*a^5*b^2*c^6 + (20*a^6*b^3 - 9*a^4*b^4)*c^5 - (11*a^5*b^5 + 5*a^3*b^6)*c^4)*d)*(a*x + b)/(c*x + d))/(a^6*b^6*c^3 - 3*a^7*b^4*c^4 + 3*a^8*b^2*c^5 - a^9*c^6 - (a^3*b^6*c^6 - 3*a^4*b^4*c^7 + 3*a^5*b^2*c^8 - a^6*c^9)*(a*x + b)^3/(c*x + d)^3 + 3*(a^4*b^6*c^5 - 3*a^5*b^4*c^6 + 3*a^6*b^2*c^7 - a^7*c^8)*(a*x + b)^2/(c*x + d)^2 - 3*(a^5*b^6*c^4 - 3*a^6*b^4*c^5 + 3*a^7*b^2*c^6 - a^8*c^7)*(a*x + b)/(c*x + d))","A",0
3154,0,0,0,0.000000," ","integrate((_C7*x+_C6)^2/(_C4+((_C1*x+_C0)/(_C3*x+_C2))^(1/2)*_C5)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(_{C_{7}} x + _{C_{6}}\right)}^{2}}{\sqrt{_{C_{5}} \sqrt{\frac{_{C_{1}} x + _{C_{0}}}{_{C_{3}} x + _{C_{2}}}} + _{C_{4}}}}\,{d x}"," ",0,"integrate((_C7*x + _C6)^2/sqrt(_C5*sqrt((_C1*x + _C0)/(_C3*x + _C2)) + _C4), x)","F",0
