1,1,9,11,0.404622,"\text{Not used}","int(x/(x^2 - 1)^(3/4),x)","2\,{\left(x^2-1\right)}^{1/4}","Not used",1,"2*(x^2 - 1)^(1/4)","B"
2,1,10,12,0.095872,"\text{Not used}","int((3*x^2 + 1)/(x + x^3 - 1)^(1/2),x)","2\,\sqrt{x^3+x-1}","Not used",1,"2*(x + x^3 - 1)^(1/2)","B"
3,1,10,12,0.164754,"\text{Not used}","int((x^8 - 1)/((x^4 - 1)^(1/2)*(x^8 - 2*x^4 + 1)),x)","-\frac{x}{\sqrt{x^4-1}}","Not used",1,"-x/(x^4 - 1)^(1/2)","B"
4,1,9,13,0.110997,"\text{Not used}","int(x/(x^2 - 1)^(1/3),x)","\frac{3\,{\left(x^2-1\right)}^{2/3}}{4}","Not used",1,"(3*(x^2 - 1)^(2/3))/4","B"
5,1,9,13,0.102623,"\text{Not used}","int(x/(x^2 - 1)^(1/4),x)","\frac{2\,{\left(x^2-1\right)}^{3/4}}{3}","Not used",1,"(2*(x^2 - 1)^(3/4))/3","B"
6,1,9,13,0.078280,"\text{Not used}","int(x*(x^2 - 1)^(1/4),x)","\frac{2\,{\left(x^2-1\right)}^{5/4}}{5}","Not used",1,"(2*(x^2 - 1)^(5/4))/5","B"
7,1,9,13,0.077599,"\text{Not used}","int(x*(x^2 - 1)^(1/3),x)","\frac{3\,{\left(x^2-1\right)}^{4/3}}{8}","Not used",1,"(3*(x^2 - 1)^(4/3))/8","B"
8,1,9,13,0.078775,"\text{Not used}","int(x*(x^2 - 1)^(2/3),x)","\frac{3\,{\left(x^2-1\right)}^{5/3}}{10}","Not used",1,"(3*(x^2 - 1)^(5/3))/10","B"
9,1,9,13,0.080400,"\text{Not used}","int(x*(x^2 - 1)^(3/4),x)","\frac{2\,{\left(x^2-1\right)}^{7/4}}{7}","Not used",1,"(2*(x^2 - 1)^(7/4))/7","B"
10,1,9,13,0.084150,"\text{Not used}","int(x/(x^2 + 1)^(1/3),x)","\frac{3\,{\left(x^2+1\right)}^{2/3}}{4}","Not used",1,"(3*(x^2 + 1)^(2/3))/4","B"
11,1,9,13,0.089940,"\text{Not used}","int(x/(x^2 + 1)^(1/4),x)","\frac{2\,{\left(x^2+1\right)}^{3/4}}{3}","Not used",1,"(2*(x^2 + 1)^(3/4))/3","B"
12,1,9,13,0.077306,"\text{Not used}","int(x*(x^2 + 1)^(1/4),x)","\frac{2\,{\left(x^2+1\right)}^{5/4}}{5}","Not used",1,"(2*(x^2 + 1)^(5/4))/5","B"
13,1,9,13,0.047860,"\text{Not used}","int(x*(x^2 + 1)^(1/3),x)","\frac{3\,{\left(x^2+1\right)}^{4/3}}{8}","Not used",1,"(3*(x^2 + 1)^(4/3))/8","B"
14,1,9,13,0.048905,"\text{Not used}","int(x*(x^2 + 1)^(3/4),x)","\frac{2\,{\left(x^2+1\right)}^{7/4}}{7}","Not used",1,"(2*(x^2 + 1)^(7/4))/7","B"
15,1,9,13,0.241852,"\text{Not used}","int(x^2/(x^3 - 1)^(1/4),x)","\frac{4\,{\left(x^3-1\right)}^{3/4}}{9}","Not used",1,"(4*(x^3 - 1)^(3/4))/9","B"
16,1,9,13,0.127100,"\text{Not used}","int(x^2*(x^3 - 1)^(1/4),x)","\frac{4\,{\left(x^3-1\right)}^{5/4}}{15}","Not used",1,"(4*(x^3 - 1)^(5/4))/15","B"
17,1,9,13,0.128618,"\text{Not used}","int(x^2*(x^3 - 1)^(3/4),x)","\frac{4\,{\left(x^3-1\right)}^{7/4}}{21}","Not used",1,"(4*(x^3 - 1)^(7/4))/21","B"
18,1,9,13,0.068760,"\text{Not used}","int(x^2/(x^3 + 1)^(1/2),x)","\frac{2\,\sqrt{x^3+1}}{3}","Not used",1,"(2*(x^3 + 1)^(1/2))/3","B"
19,1,9,13,0.173772,"\text{Not used}","int(x^2/(x^3 + 1)^(1/4),x)","\frac{4\,{\left(x^3+1\right)}^{3/4}}{9}","Not used",1,"(4*(x^3 + 1)^(3/4))/9","B"
20,1,9,13,0.121835,"\text{Not used}","int(x^2*(x^3 + 1)^(1/4),x)","\frac{4\,{\left(x^3+1\right)}^{5/4}}{15}","Not used",1,"(4*(x^3 + 1)^(5/4))/15","B"
21,1,9,13,0.133943,"\text{Not used}","int(x^2*(x^3 + 1)^(1/3),x)","\frac{{\left(x^3+1\right)}^{4/3}}{4}","Not used",1,"(x^3 + 1)^(4/3)/4","B"
22,1,9,13,0.021850,"\text{Not used}","int(x^2*(x^3 + 1)^(1/2),x)","\frac{2\,{\left(x^3+1\right)}^{3/2}}{9}","Not used",1,"(2*(x^3 + 1)^(3/2))/9","B"
23,1,9,13,0.128031,"\text{Not used}","int(x^2*(x^3 + 1)^(2/3),x)","\frac{{\left(x^3+1\right)}^{5/3}}{5}","Not used",1,"(x^3 + 1)^(5/3)/5","B"
24,1,9,13,0.121379,"\text{Not used}","int(x^2*(x^3 + 1)^(3/4),x)","\frac{4\,{\left(x^3+1\right)}^{7/4}}{21}","Not used",1,"(4*(x^3 + 1)^(7/4))/21","B"
25,1,9,13,0.092005,"\text{Not used}","int((3*x^2 + 1)*(x + x^3)^(1/3),x)","\frac{3\,{\left(x^3+x\right)}^{4/3}}{4}","Not used",1,"(3*(x + x^3)^(4/3))/4","B"
26,1,11,13,0.208647,"\text{Not used}","int(1/(x^2*(x^4 - 1)^(3/4)),x)","\frac{{\left(x^4-1\right)}^{1/4}}{x}","Not used",1,"(x^4 - 1)^(1/4)/x","B"
27,1,9,13,0.168043,"\text{Not used}","int(x^3/(x^4 - 1)^(1/3),x)","\frac{3\,{\left(x^4-1\right)}^{2/3}}{8}","Not used",1,"(3*(x^4 - 1)^(2/3))/8","B"
28,1,9,13,0.126269,"\text{Not used}","int(x^3*(x^4 - 1)^(1/3),x)","\frac{3\,{\left(x^4-1\right)}^{4/3}}{16}","Not used",1,"(3*(x^4 - 1)^(4/3))/16","B"
29,1,9,13,0.127438,"\text{Not used}","int(x^3*(x^4 - 1)^(2/3),x)","\frac{3\,{\left(x^4-1\right)}^{5/3}}{20}","Not used",1,"(3*(x^4 - 1)^(5/3))/20","B"
30,1,9,13,0.130611,"\text{Not used}","int(x^3*(x^4 - 1)^(3/4),x)","\frac{{\left(x^4-1\right)}^{7/4}}{7}","Not used",1,"(x^4 - 1)^(7/4)/7","B"
31,1,11,13,0.047147,"\text{Not used}","int((x^4 - 1)/(x^2*(x^4 + 1)^(1/2)),x)","\frac{\sqrt{x^4+1}}{x}","Not used",1,"(x^4 + 1)^(1/2)/x","B"
32,1,9,13,0.108181,"\text{Not used}","int(x^3/(x^4 + 1)^(1/3),x)","\frac{3\,{\left(x^4+1\right)}^{2/3}}{8}","Not used",1,"(3*(x^4 + 1)^(2/3))/8","B"
33,1,9,13,0.133777,"\text{Not used}","int(x^3*(x^4 + 1)^(1/4),x)","\frac{{\left(x^4+1\right)}^{5/4}}{5}","Not used",1,"(x^4 + 1)^(5/4)/5","B"
34,1,9,13,0.126714,"\text{Not used}","int(x^3*(x^4 + 1)^(1/3),x)","\frac{3\,{\left(x^4+1\right)}^{4/3}}{16}","Not used",1,"(3*(x^4 + 1)^(4/3))/16","B"
35,1,9,13,0.131169,"\text{Not used}","int(x^3*(x^4 + 1)^(2/3),x)","\frac{3\,{\left(x^4+1\right)}^{5/3}}{20}","Not used",1,"(3*(x^4 + 1)^(5/3))/20","B"
36,1,9,13,0.163519,"\text{Not used}","int(x^4*(x^5 - 1)^(2/3),x)","\frac{3\,{\left(x^5-1\right)}^{5/3}}{25}","Not used",1,"(3*(x^5 - 1)^(5/3))/25","B"
37,1,9,13,0.144898,"\text{Not used}","int(x^4*(x^5 + 1)^(2/3),x)","\frac{3\,{\left(x^5+1\right)}^{5/3}}{25}","Not used",1,"(3*(x^5 + 1)^(5/3))/25","B"
38,1,9,13,0.226422,"\text{Not used}","int(x^5/(x^6 - 1)^(1/3),x)","\frac{{\left(x^6-1\right)}^{2/3}}{4}","Not used",1,"(x^6 - 1)^(2/3)/4","B"
39,1,9,13,0.139517,"\text{Not used}","int(x^5*(x^6 - 1)^(1/4),x)","\frac{2\,{\left(x^6-1\right)}^{5/4}}{15}","Not used",1,"(2*(x^6 - 1)^(5/4))/15","B"
40,1,9,13,0.136041,"\text{Not used}","int(x^5*(x^6 - 1)^(1/3),x)","\frac{{\left(x^6-1\right)}^{4/3}}{8}","Not used",1,"(x^6 - 1)^(4/3)/8","B"
41,1,9,13,0.187923,"\text{Not used}","int(x^5*(x^6 - 1)^(1/2),x)","\frac{{\left(x^6-1\right)}^{3/2}}{9}","Not used",1,"(x^6 - 1)^(3/2)/9","B"
42,1,9,13,0.131940,"\text{Not used}","int(x^5*(x^6 - 1)^(3/4),x)","\frac{2\,{\left(x^6-1\right)}^{7/4}}{21}","Not used",1,"(2*(x^6 - 1)^(7/4))/21","B"
43,1,11,13,0.095382,"\text{Not used}","int((x^6 - 2)/(x^3*(x^6 + 1)^(1/2)),x)","\frac{\sqrt{x^6+1}}{x^2}","Not used",1,"(x^6 + 1)^(1/2)/x^2","B"
44,1,9,13,0.079653,"\text{Not used}","int(x^5/(x^6 + 1)^(1/3),x)","\frac{{\left(x^6+1\right)}^{2/3}}{4}","Not used",1,"(x^6 + 1)^(2/3)/4","B"
45,1,9,13,0.130103,"\text{Not used}","int(x^5*(x^6 + 1)^(1/4),x)","\frac{2\,{\left(x^6+1\right)}^{5/4}}{15}","Not used",1,"(2*(x^6 + 1)^(5/4))/15","B"
46,1,9,13,0.128573,"\text{Not used}","int(x^5*(x^6 + 1)^(1/3),x)","\frac{{\left(x^6+1\right)}^{4/3}}{8}","Not used",1,"(x^6 + 1)^(4/3)/8","B"
47,1,12,14,0.119136,"\text{Not used}","int((x^3 - 4)/(x^2*(x^3 - 1)^(3/4)),x)","-\frac{4\,{\left(x^3-1\right)}^{1/4}}{x}","Not used",1,"-(4*(x^3 - 1)^(1/4))/x","B"
48,1,164,14,0.254242,"\text{Not used}","int(1/(x*(x^3 + 1)^(1/2)),x)","-\frac{\left(3+\sqrt{3}\,1{}\mathrm{i}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"-((3^(1/2)*1i + 3)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi((3^(1/2)*1i)/2 + 3/2, asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2)","B"
49,1,12,14,0.073453,"\text{Not used}","int((x^3 + 4)/(x^2*(x^3 + 1)^(3/4)),x)","-\frac{4\,{\left(x^3+1\right)}^{1/4}}{x}","Not used",1,"-(4*(x^3 + 1)^(1/4))/x","B"
50,1,10,14,0.186227,"\text{Not used}","int(((3*x^2 + 2)*(x + x^3)^(1/3))/(x^2 + 1),x)","\frac{3\,x\,{\left(x^3+x\right)}^{1/3}}{2}","Not used",1,"(3*x*(x + x^3)^(1/3))/2","B"
51,1,21,14,0.162982,"\text{Not used}","int((x - 2)/((x^3 - x^2)^(1/4)*(x - 1)),x)","\frac{4\,{\left(x^3-x^2\right)}^{3/4}}{x\,\left(x-1\right)}","Not used",1,"(4*(x^3 - x^2)^(3/4))/(x*(x - 1))","B"
52,1,19,14,0.125772,"\text{Not used}","int((x + 2)/((x^2 + x^3)^(1/4)*(x + 1)),x)","\frac{4\,{\left(x^3+x^2\right)}^{3/4}}{x\,\left(x+1\right)}","Not used",1,"(4*(x^2 + x^3)^(3/4))/(x*(x + 1))","B"
53,1,12,14,0.153357,"\text{Not used}","int(1/(x^2*(x^4 + 1)^(3/4)),x)","-\frac{{\left(x^4+1\right)}^{1/4}}{x}","Not used",1,"-(x^4 + 1)^(1/4)/x","B"
54,1,12,14,0.083040,"\text{Not used}","int((x^4 + 3)/(x^4*(x^4 + 1)^(1/2)),x)","-\frac{\sqrt{x^4+1}}{x^3}","Not used",1,"-(x^4 + 1)^(1/2)/x^3","B"
55,1,12,14,0.202055,"\text{Not used}","int((4*x^3 - 1)/(2*x^4 - 2*x - 1)^(1/2),x)","\sqrt{2\,x^4-2\,x-1}","Not used",1,"(2*x^4 - 2*x - 1)^(1/2)","B"
56,1,12,14,0.097310,"\text{Not used}","int((x^5 - 4)/(x^2*(x^5 + 1)^(3/4)),x)","\frac{4\,{\left(x^5+1\right)}^{1/4}}{x}","Not used",1,"(4*(x^5 + 1)^(1/4))/x","B"
57,1,12,14,0.129449,"\text{Not used}","int((x^5 + 4)/(x^2*(x^5 - 1)^(3/4)),x)","\frac{4\,{\left(x^5-1\right)}^{1/4}}{x}","Not used",1,"(4*(x^5 - 1)^(1/4))/x","B"
58,1,163,14,1.530185,"\text{Not used}","int((5*x^3 + 2)/((x^3 + 1)^(1/2)*(x^2 + x^5 + 1)),x)","\sum _{k=1}^5\left(-\frac{\sqrt{6}\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{-\left(-3+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(x+1\right)}\,\Pi \left(\frac{3+\sqrt{3}\,1{}\mathrm{i}}{2\,\left(\mathrm{root}\left(z^5+z^2+1,z,k\right)+1\right)};\mathrm{asin}\left(\frac{\sqrt{6}\,\sqrt{-\left(-3+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(x+1\right)}}{6}\right)\middle|\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{3-3\,x+\sqrt{3}\,x\,1{}\mathrm{i}+\sqrt{3}\,1{}\mathrm{i}}\,\sqrt{3-3\,x-\sqrt{3}\,x\,1{}\mathrm{i}-\sqrt{3}\,1{}\mathrm{i}}}{18\,\sqrt{x^3+1}\,\left(\mathrm{root}\left(z^5+z^2+1,z,k\right)+1\right)\,\mathrm{root}\left(z^5+z^2+1,z,k\right)}\right)","Not used",1,"symsum(-(6^(1/2)*((3^(1/2)*1i)/2 + 3/2)*(-(3^(1/2)*1i - 3)*(x + 1))^(1/2)*ellipticPi((3^(1/2)*1i + 3)/(2*(root(z^5 + z^2 + 1, z, k) + 1)), asin((6^(1/2)*(-(3^(1/2)*1i - 3)*(x + 1))^(1/2))/6), (3^(1/2)*1i)/2 + 1/2)*(3^(1/2)*x*1i - 3*x + 3^(1/2)*1i + 3)^(1/2)*(3 - 3^(1/2)*x*1i - 3^(1/2)*1i - 3*x)^(1/2))/(18*(x^3 + 1)^(1/2)*(root(z^5 + z^2 + 1, z, k) + 1)*root(z^5 + z^2 + 1, z, k)), k, 1, 5)","B"
59,1,10,14,0.178695,"\text{Not used}","int(1/(x*(x^6 - 1)^(1/2)),x)","\frac{\mathrm{atan}\left(\sqrt{x^6-1}\right)}{3}","Not used",1,"atan((x^6 - 1)^(1/2))/3","B"
60,1,12,14,0.107253,"\text{Not used}","int((x^6 - 2)/(x^2*(x^6 + 1)^(3/4)),x)","\frac{2\,{\left(x^6+1\right)}^{1/4}}{x}","Not used",1,"(2*(x^6 + 1)^(1/4))/x","B"
61,1,10,14,0.116361,"\text{Not used}","int(1/(x*(x^6 + 1)^(1/2)),x)","-\frac{\mathrm{atanh}\left(\sqrt{x^6+1}\right)}{3}","Not used",1,"-atanh((x^6 + 1)^(1/2))/3","B"
62,1,12,14,0.141158,"\text{Not used}","int((x^6 + 2)/(x^2*(x^6 - 1)^(3/4)),x)","\frac{2\,{\left(x^6-1\right)}^{1/4}}{x}","Not used",1,"(2*(x^6 - 1)^(1/4))/x","B"
63,0,-1,14,0.000000,"\text{Not used}","int((2*x^6 - 1)/((x^6 + 1)^(1/2)*(x^6 - x^2 + 1)),x)","\int \frac{2\,x^6-1}{\sqrt{x^6+1}\,\left(x^6-x^2+1\right)} \,d x","Not used",1,"int((2*x^6 - 1)/((x^6 + 1)^(1/2)*(x^6 - x^2 + 1)), x)","F"
64,0,-1,14,0.000000,"\text{Not used}","int((2*x^6 + 1)/((x^6 - 1)^(1/2)*(x^2 + x^6 - 1)),x)","\int \frac{2\,x^6+1}{\sqrt{x^6-1}\,\left(x^6+x^2-1\right)} \,d x","Not used",1,"int((2*x^6 + 1)/((x^6 - 1)^(1/2)*(x^2 + x^6 - 1)), x)","F"
65,1,11,15,0.293710,"\text{Not used}","int((3*x^2 - 1)/(x^3 - x)^(1/3),x)","\frac{3\,{\left(x^3-x\right)}^{2/3}}{2}","Not used",1,"(3*(x^3 - x)^(2/3))/2","B"
66,1,11,15,0.114399,"\text{Not used}","int((x^3 - x)^(1/3)*(3*x^2 - 1),x)","\frac{3\,{\left(x^3-x\right)}^{4/3}}{4}","Not used",1,"(3*(x^3 - x)^(4/3))/4","B"
67,1,2490,15,1.882729,"\text{Not used}","int((x - x^3 + 2)/((x + x^3 + 1)^(1/2)*(x - x^2 + x^3 + 1)),x)","\left(\sum _{k=1}^3\left(-\frac{2\,\sqrt{-\frac{x+\frac{1}{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}-{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}{\frac{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}{2}-\frac{1}{2\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+\frac{\sqrt{3}\,\left(\frac{1}{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x-\frac{1}{6\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+\frac{{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}{2}+\frac{\sqrt{3}\,\left(\frac{1}{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}}{\frac{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}{2}-\frac{1}{2\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+\frac{\sqrt{3}\,\left(\frac{1}{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}}}\,\left(\frac{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}{2}-\frac{1}{2\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+\frac{\sqrt{3}\,\left(\frac{1}{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)\,\Pi \left(\frac{\frac{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}{2}-\frac{1}{2\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+\frac{\sqrt{3}\,\left(\frac{1}{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}}{\mathrm{root}\left(z^3-z^2+z+1,z,k\right)-\frac{1}{6\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+\frac{{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}{2}+\frac{\sqrt{3}\,\left(\frac{1}{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}};\mathrm{asin}\left(\sqrt{\frac{x-\frac{1}{6\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+\frac{{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}{2}+\frac{\sqrt{3}\,\left(\frac{1}{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}}{\frac{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}{2}-\frac{1}{2\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+\frac{\sqrt{3}\,\left(\frac{1}{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\sqrt{3}\,\left(\frac{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}{2}-\frac{1}{2\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+\frac{\sqrt{3}\,\left(\frac{1}{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)\,1{}\mathrm{i}}{3\,\left(\frac{1}{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}\right)}\right)\,\left(-{\mathrm{root}\left(z^3-z^2+z+1,z,k\right)}^2+2\,\mathrm{root}\left(z^3-z^2+z+1,z,k\right)+3\right)\,\sqrt{\frac{\sqrt{3}\,\left(x-\frac{1}{6\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+\frac{{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}{2}-\frac{\sqrt{3}\,\left(\frac{1}{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)\,1{}\mathrm{i}}{3\,\left(\frac{1}{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}\right)}}}{\sqrt{x^3+\left(\left(\frac{1}{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}-{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}\right)\,\left(\frac{{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}{2}-\frac{1}{6\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+\frac{\sqrt{3}\,\left(\frac{1}{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)-\left(\frac{1}{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}-{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}\right)\,\left(\frac{1}{6\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}-\frac{{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}{2}+\frac{\sqrt{3}\,\left(\frac{1}{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)-\left(\frac{{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}{2}-\frac{1}{6\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+\frac{\sqrt{3}\,\left(\frac{1}{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{6\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}-\frac{{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}{2}+\frac{\sqrt{3}\,\left(\frac{1}{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)\right)\,x-\left(\frac{1}{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}-{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}\right)\,\left(\frac{{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}{2}-\frac{1}{6\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+\frac{\sqrt{3}\,\left(\frac{1}{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{6\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}-\frac{{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}{2}+\frac{\sqrt{3}\,\left(\frac{1}{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)}\,\left(3\,{\mathrm{root}\left(z^3-z^2+z+1,z,k\right)}^2-2\,\mathrm{root}\left(z^3-z^2+z+1,z,k\right)+1\right)\,\left(\mathrm{root}\left(z^3-z^2+z+1,z,k\right)-\frac{1}{6\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+\frac{{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}{2}+\frac{\sqrt{3}\,\left(\frac{1}{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)}\right)\right)-\frac{2\,\sqrt{-\frac{x+\frac{1}{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}-{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}{\frac{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}{2}-\frac{1}{2\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+\frac{\sqrt{3}\,\left(\frac{1}{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}}}\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{x-\frac{1}{6\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+\frac{{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}{2}+\frac{\sqrt{3}\,\left(\frac{1}{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}}{\frac{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}{2}-\frac{1}{2\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+\frac{\sqrt{3}\,\left(\frac{1}{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\sqrt{3}\,\left(\frac{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}{2}-\frac{1}{2\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+\frac{\sqrt{3}\,\left(\frac{1}{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)\,1{}\mathrm{i}}{3\,\left(\frac{1}{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}\right)}\right)\,\sqrt{\frac{x-\frac{1}{6\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+\frac{{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}{2}+\frac{\sqrt{3}\,\left(\frac{1}{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}}{\frac{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}{2}-\frac{1}{2\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+\frac{\sqrt{3}\,\left(\frac{1}{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}}}\,\left(\frac{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}{2}-\frac{1}{2\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+\frac{\sqrt{3}\,\left(\frac{1}{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{\sqrt{3}\,\left(x-\frac{1}{6\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+\frac{{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}{2}-\frac{\sqrt{3}\,\left(\frac{1}{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)\,1{}\mathrm{i}}{3\,\left(\frac{1}{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}\right)}}}{\sqrt{x^3+\left(\left(\frac{1}{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}-{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}\right)\,\left(\frac{{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}{2}-\frac{1}{6\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+\frac{\sqrt{3}\,\left(\frac{1}{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)-\left(\frac{1}{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}-{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}\right)\,\left(\frac{1}{6\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}-\frac{{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}{2}+\frac{\sqrt{3}\,\left(\frac{1}{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)-\left(\frac{{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}{2}-\frac{1}{6\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+\frac{\sqrt{3}\,\left(\frac{1}{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{6\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}-\frac{{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}{2}+\frac{\sqrt{3}\,\left(\frac{1}{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)\right)\,x-\left(\frac{1}{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}-{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}\right)\,\left(\frac{{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}{2}-\frac{1}{6\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+\frac{\sqrt{3}\,\left(\frac{1}{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{6\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}-\frac{{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}{2}+\frac{\sqrt{3}\,\left(\frac{1}{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}-\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"symsum(-(2*(-(x + 1/(3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) - ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))/((3^(1/2)*(1/(3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))*1i)/2 - 1/(2*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + (3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))/2))^(1/2)*((x + (3^(1/2)*(1/(3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))*1i)/2 - 1/(6*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)/2)/((3^(1/2)*(1/(3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))*1i)/2 - 1/(2*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + (3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))/2))^(1/2)*((3^(1/2)*(1/(3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))*1i)/2 - 1/(2*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + (3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))/2)*ellipticPi(((3^(1/2)*(1/(3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))*1i)/2 - 1/(2*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + (3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))/2)/(root(z^3 - z^2 + z + 1, z, k) + (3^(1/2)*(1/(3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))*1i)/2 - 1/(6*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)/2), asin(((x + (3^(1/2)*(1/(3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))*1i)/2 - 1/(6*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)/2)/((3^(1/2)*(1/(3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))*1i)/2 - 1/(2*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + (3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))/2))^(1/2)), -(3^(1/2)*((3^(1/2)*(1/(3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))*1i)/2 - 1/(2*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + (3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))/2)*1i)/(3*(1/(3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))))*(2*root(z^3 - z^2 + z + 1, z, k) - root(z^3 - z^2 + z + 1, z, k)^2 + 3)*((3^(1/2)*(x - (3^(1/2)*(1/(3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))*1i)/2 - 1/(6*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)/2)*1i)/(3*(1/(3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))))^(1/2))/((x^3 - x*((1/(3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) - ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))*((3^(1/2)*(1/(3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))*1i)/2 + 1/(6*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) - ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)/2) - (1/(3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) - ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))*((3^(1/2)*(1/(3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))*1i)/2 - 1/(6*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)/2) + ((3^(1/2)*(1/(3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))*1i)/2 - 1/(6*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)/2)*((3^(1/2)*(1/(3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))*1i)/2 + 1/(6*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) - ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)/2)) - (1/(3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) - ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))*((3^(1/2)*(1/(3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))*1i)/2 - 1/(6*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)/2)*((3^(1/2)*(1/(3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))*1i)/2 + 1/(6*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) - ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)/2))^(1/2)*(3*root(z^3 - z^2 + z + 1, z, k)^2 - 2*root(z^3 - z^2 + z + 1, z, k) + 1)*(root(z^3 - z^2 + z + 1, z, k) + (3^(1/2)*(1/(3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))*1i)/2 - 1/(6*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)/2)), k, 1, 3) - (2*(-(x + 1/(3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) - ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))/((3^(1/2)*(1/(3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))*1i)/2 - 1/(2*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + (3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))/2))^(1/2)*ellipticF(asin(((x + (3^(1/2)*(1/(3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))*1i)/2 - 1/(6*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)/2)/((3^(1/2)*(1/(3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))*1i)/2 - 1/(2*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + (3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))/2))^(1/2)), -(3^(1/2)*((3^(1/2)*(1/(3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))*1i)/2 - 1/(2*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + (3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))/2)*1i)/(3*(1/(3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))))*((x + (3^(1/2)*(1/(3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))*1i)/2 - 1/(6*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)/2)/((3^(1/2)*(1/(3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))*1i)/2 - 1/(2*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + (3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))/2))^(1/2)*((3^(1/2)*(1/(3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))*1i)/2 - 1/(2*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + (3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))/2)*((3^(1/2)*(x - (3^(1/2)*(1/(3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))*1i)/2 - 1/(6*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)/2)*1i)/(3*(1/(3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))))^(1/2))/(x^3 - x*((1/(3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) - ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))*((3^(1/2)*(1/(3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))*1i)/2 + 1/(6*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) - ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)/2) - (1/(3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) - ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))*((3^(1/2)*(1/(3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))*1i)/2 - 1/(6*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)/2) + ((3^(1/2)*(1/(3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))*1i)/2 - 1/(6*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)/2)*((3^(1/2)*(1/(3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))*1i)/2 + 1/(6*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) - ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)/2)) - (1/(3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) - ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))*((3^(1/2)*(1/(3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))*1i)/2 - 1/(6*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)/2)*((3^(1/2)*(1/(3*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) + ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3))*1i)/2 + 1/(6*((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)) - ((31^(1/2)*108^(1/2))/108 - 1/2)^(1/3)/2))^(1/2)","B"
68,0,-1,15,0.000000,"\text{Not used}","int(-(x^4 + 1)/((x^4 - 1)*(x^2 + x^4 - 1)^(1/2)),x)","\int -\frac{x^4+1}{\left(x^4-1\right)\,\sqrt{x^4+x^2-1}} \,d x","Not used",1,"int(-(x^4 + 1)/((x^4 - 1)*(x^2 + x^4 - 1)^(1/2)), x)","F"
69,1,12,16,0.158816,"\text{Not used}","int((x^3 - 4)/(x^4*(x^3 - 1)^(1/4)),x)","-\frac{4\,{\left(x^3-1\right)}^{3/4}}{3\,x^3}","Not used",1,"-(4*(x^3 - 1)^(3/4))/(3*x^3)","B"
70,1,25,16,0.191257,"\text{Not used}","int((x^3 - 1)^(1/3)/x^5,x)","-\frac{{\left(x^3-1\right)}^{1/3}-x^3\,{\left(x^3-1\right)}^{1/3}}{4\,x^4}","Not used",1,"-((x^3 - 1)^(1/3) - x^3*(x^3 - 1)^(1/3))/(4*x^4)","B"
71,1,25,16,0.190963,"\text{Not used}","int((x^3 - 1)^(2/3)/x^6,x)","-\frac{{\left(x^3-1\right)}^{2/3}-x^3\,{\left(x^3-1\right)}^{2/3}}{5\,x^5}","Not used",1,"-((x^3 - 1)^(2/3) - x^3*(x^3 - 1)^(2/3))/(5*x^5)","B"
72,1,24,16,0.187290,"\text{Not used}","int((x^3 + 1)^(1/3)/x^5,x)","-\frac{{\left(x^3+1\right)}^{1/3}+x^3\,{\left(x^3+1\right)}^{1/3}}{4\,x^4}","Not used",1,"-((x^3 + 1)^(1/3) + x^3*(x^3 + 1)^(1/3))/(4*x^4)","B"
73,1,24,16,0.185163,"\text{Not used}","int((x^3 + 1)^(2/3)/x^6,x)","-\frac{{\left(x^3+1\right)}^{2/3}+x^3\,{\left(x^3+1\right)}^{2/3}}{5\,x^5}","Not used",1,"-((x^3 + 1)^(2/3) + x^3*(x^3 + 1)^(2/3))/(5*x^5)","B"
74,1,12,16,0.036662,"\text{Not used}","int(((x^3 + 1)^(3/2)*(x^3 - 2))/x^6,x)","\frac{2\,{\left(x^3+1\right)}^{5/2}}{5\,x^5}","Not used",1,"(2*(x^3 + 1)^(5/2))/(5*x^5)","B"
75,1,12,16,0.149771,"\text{Not used}","int((x^3 + 4)/(x^4*(x^3 + 1)^(1/4)),x)","-\frac{4\,{\left(x^3+1\right)}^{3/4}}{3\,x^3}","Not used",1,"-(4*(x^3 + 1)^(3/4))/(3*x^3)","B"
76,1,12,16,0.147366,"\text{Not used}","int(1/(x^2*(x + x^3)^(1/3)),x)","-\frac{3\,{\left(x^3+x\right)}^{2/3}}{4\,x^2}","Not used",1,"-(3*(x + x^3)^(2/3))/(4*x^2)","B"
77,1,27,16,0.349333,"\text{Not used}","int(((x^2 + 1)*(x^2 + 3))/(x^6*(x + x^3)^(1/4)),x)","-\frac{4\,{\left(x^3+x\right)}^{3/4}+4\,x^2\,{\left(x^3+x\right)}^{3/4}}{7\,x^6}","Not used",1,"-(4*(x + x^3)^(3/4) + 4*x^2*(x + x^3)^(3/4))/(7*x^6)","B"
78,1,27,16,0.161639,"\text{Not used}","int((x + x^3)^(1/3)/x^4,x)","-\frac{3\,{\left(x^3+x\right)}^{1/3}+3\,x^2\,{\left(x^3+x\right)}^{1/3}}{8\,x^3}","Not used",1,"-(3*(x + x^3)^(1/3) + 3*x^2*(x + x^3)^(1/3))/(8*x^3)","B"
79,1,12,16,0.217349,"\text{Not used}","int(1/(x^4*(x^4 - 1)^(1/4)),x)","\frac{{\left(x^4-1\right)}^{3/4}}{3\,x^3}","Not used",1,"(x^4 - 1)^(3/4)/(3*x^3)","B"
80,1,25,16,0.206079,"\text{Not used}","int((x^4 - 1)^(3/4)/x^8,x)","-\frac{{\left(x^4-1\right)}^{3/4}-x^4\,{\left(x^4-1\right)}^{3/4}}{7\,x^7}","Not used",1,"-((x^4 - 1)^(3/4) - x^4*(x^4 - 1)^(3/4))/(7*x^7)","B"
81,1,9,16,0.026293,"\text{Not used}","int((x^4 - 1)/(x^2*(x + x^3)^(1/2)),x)","\frac{4\,\sqrt{x^3+x}}{3}","Not used",1,"(4*(x + x^3)^(1/2))/3","B"
82,1,12,16,0.163191,"\text{Not used}","int(1/(x^4*(x^4 + 1)^(1/4)),x)","-\frac{{\left(x^4+1\right)}^{3/4}}{3\,x^3}","Not used",1,"-(x^4 + 1)^(3/4)/(3*x^3)","B"
83,1,12,16,0.098779,"\text{Not used}","int(((x^4 + 1)^(1/3)*(x^4 - 3))/x^5,x)","\frac{3\,{\left(x^4+1\right)}^{4/3}}{4\,x^4}","Not used",1,"(3*(x^4 + 1)^(4/3))/(4*x^4)","B"
84,1,12,16,0.183757,"\text{Not used}","int(((x^2 - 1)*(x^2 + 1)*(x^4 + 1)^(1/2))/x^4,x)","\frac{{\left(x^4+1\right)}^{3/2}}{3\,x^3}","Not used",1,"(x^4 + 1)^(3/2)/(3*x^3)","B"
85,1,27,16,0.191071,"\text{Not used}","int(((x^4 + 1)^(2/3)*(x^4 - 3))/x^6,x)","\frac{3\,{\left(x^4+1\right)}^{2/3}+3\,x^4\,{\left(x^4+1\right)}^{2/3}}{5\,x^5}","Not used",1,"(3*(x^4 + 1)^(2/3) + 3*x^4*(x^4 + 1)^(2/3))/(5*x^5)","B"
86,1,24,16,0.207933,"\text{Not used}","int((x^4 + 1)^(3/4)/x^8,x)","-\frac{{\left(x^4+1\right)}^{3/4}+x^4\,{\left(x^4+1\right)}^{3/4}}{7\,x^7}","Not used",1,"-((x^4 + 1)^(3/4) + x^4*(x^4 + 1)^(3/4))/(7*x^7)","B"
87,1,27,16,0.193503,"\text{Not used}","int(((x^4 - 1)^(2/3)*(x^4 + 3))/x^6,x)","-\frac{3\,{\left(x^4-1\right)}^{2/3}-3\,x^4\,{\left(x^4-1\right)}^{2/3}}{5\,x^5}","Not used",1,"-(3*(x^4 - 1)^(2/3) - 3*x^4*(x^4 - 1)^(2/3))/(5*x^5)","B"
88,1,12,16,0.225603,"\text{Not used}","int(((x^4 + 1)^(1/3)*(x^4 + 3))/x^9,x)","-\frac{3\,{\left(x^4+1\right)}^{4/3}}{8\,x^8}","Not used",1,"-(3*(x^4 + 1)^(4/3))/(8*x^8)","B"
89,1,12,16,0.175119,"\text{Not used}","int(1/(x^2*(x + x^4)^(1/2)),x)","-\frac{2\,\sqrt{x^4+x}}{3\,x^2}","Not used",1,"-(2*(x + x^4)^(1/2))/(3*x^2)","B"
90,1,27,16,0.266715,"\text{Not used}","int((x^3 + 1)/(x^6*(x + x^4)^(1/4)),x)","-\frac{4\,{\left(x^4+x\right)}^{3/4}+4\,x^3\,{\left(x^4+x\right)}^{3/4}}{21\,x^6}","Not used",1,"-(4*(x + x^4)^(3/4) + 4*x^3*(x + x^4)^(3/4))/(21*x^6)","B"
91,1,19,16,0.132942,"\text{Not used}","int(((x^3 - 2)*(x + x^4)^(1/3))/(x^3 + 1)^2,x)","-\frac{3\,x\,{\left(x^4+x\right)}^{1/3}}{2\,\left(x^3+1\right)}","Not used",1,"-(3*x*(x + x^4)^(1/3))/(2*(x^3 + 1))","B"
92,1,14,16,0.125839,"\text{Not used}","int((x^2 + x^4)^(1/4)/(x^2*(x^2 + 1)),x)","-\frac{2\,{\left(x^4+x^2\right)}^{1/4}}{x}","Not used",1,"-(2*(x^2 + x^4)^(1/4))/x","B"
93,1,12,16,0.267117,"\text{Not used}","int(((x^5 - 1)^(2/3)*(x^5 - 6))/x^11,x)","-\frac{3\,{\left(x^5-1\right)}^{5/3}}{5\,x^{10}}","Not used",1,"-(3*(x^5 - 1)^(5/3))/(5*x^10)","B"
94,1,27,16,0.235026,"\text{Not used}","int(((x^5 + 1)^(3/4)*(x^5 - 4))/x^8,x)","\frac{4\,{\left(x^5+1\right)}^{3/4}+4\,x^5\,{\left(x^5+1\right)}^{3/4}}{7\,x^7}","Not used",1,"(4*(x^5 + 1)^(3/4) + 4*x^5*(x^5 + 1)^(3/4))/(7*x^7)","B"
95,1,27,16,0.221043,"\text{Not used}","int(((x^5 - 1)^(3/4)*(x^5 + 4))/x^8,x)","-\frac{4\,{\left(x^5-1\right)}^{3/4}-4\,x^5\,{\left(x^5-1\right)}^{3/4}}{7\,x^7}","Not used",1,"-(4*(x^5 - 1)^(3/4) - 4*x^5*(x^5 - 1)^(3/4))/(7*x^7)","B"
96,1,12,16,0.247683,"\text{Not used}","int(((x^5 + 1)^(2/3)*(x^5 + 6))/x^11,x)","-\frac{3\,{\left(x^5+1\right)}^{5/3}}{5\,x^{10}}","Not used",1,"-(3*(x^5 + 1)^(5/3))/(5*x^10)","B"
97,1,27,16,0.293446,"\text{Not used}","int(((x^4 + 1)*(x^4 - 3))/(x^6*(x + x^5)^(1/4)),x)","\frac{4\,{\left(x^5+x\right)}^{3/4}+4\,x^4\,{\left(x^5+x\right)}^{3/4}}{7\,x^6}","Not used",1,"(4*(x + x^5)^(3/4) + 4*x^4*(x + x^5)^(3/4))/(7*x^6)","B"
98,1,14,16,0.187737,"\text{Not used}","int(((x^3 + x^5)^(1/4)*(x^2 - 1))/(x^2*(x^2 + 1)),x)","\frac{4\,{\left(x^5+x^3\right)}^{1/4}}{x}","Not used",1,"(4*(x^3 + x^5)^(1/4))/x","B"
99,1,42,16,2.261249,"\text{Not used}","int(-(2*b - 3*a*x^5)/((b + a*x^5)^(1/2)*(b + a*x^5 + x^2)),x)","\ln\left(\frac{b+a\,x^5-x^2+x\,\sqrt{a\,x^5+b}\,2{}\mathrm{i}}{a\,x^5+x^2+b}\right)\,1{}\mathrm{i}","Not used",1,"log((b + x*(b + a*x^5)^(1/2)*2i + a*x^5 - x^2)/(b + a*x^5 + x^2))*1i","B"
100,1,12,16,0.297012,"\text{Not used}","int(1/(x^4*(x^6 - 1)^(1/2)),x)","\frac{\sqrt{x^6-1}}{3\,x^3}","Not used",1,"(x^6 - 1)^(1/2)/(3*x^3)","B"
101,1,12,16,0.234800,"\text{Not used}","int((x^6 - 1)^(1/3)/x^9,x)","\frac{{\left(x^6-1\right)}^{4/3}}{8\,x^8}","Not used",1,"(x^6 - 1)^(4/3)/(8*x^8)","B"
102,1,12,16,0.283995,"\text{Not used}","int((x^6 - 1)^(1/2)/x^10,x)","\frac{{\left(x^6-1\right)}^{3/2}}{9\,x^9}","Not used",1,"(x^6 - 1)^(3/2)/(9*x^9)","B"
103,1,12,16,0.218182,"\text{Not used}","int(1/(x^4*(x^6 + 1)^(1/2)),x)","-\frac{\sqrt{x^6+1}}{3\,x^3}","Not used",1,"-(x^6 + 1)^(1/2)/(3*x^3)","B"
104,1,12,16,0.181314,"\text{Not used}","int(1/(x^5*(x^6 + 1)^(1/3)),x)","-\frac{{\left(x^6+1\right)}^{2/3}}{4\,x^4}","Not used",1,"-(x^6 + 1)^(2/3)/(4*x^4)","B"
105,1,12,16,0.042953,"\text{Not used}","int((x^6 - 2)/(x^4*(x^6 + 1)^(1/4)),x)","\frac{2\,{\left(x^6+1\right)}^{3/4}}{3\,x^3}","Not used",1,"(2*(x^6 + 1)^(3/4))/(3*x^3)","B"
106,1,12,16,0.278332,"\text{Not used}","int((x^6 + 1)^(1/2)/x^10,x)","-\frac{{\left(x^6+1\right)}^{3/2}}{9\,x^9}","Not used",1,"-(x^6 + 1)^(3/2)/(9*x^9)","B"
107,1,27,16,0.225494,"\text{Not used}","int(((x^6 + 1)^(3/4)*(x^6 - 2))/x^8,x)","\frac{2\,{\left(x^6+1\right)}^{3/4}+2\,x^6\,{\left(x^6+1\right)}^{3/4}}{7\,x^7}","Not used",1,"(2*(x^6 + 1)^(3/4) + 2*x^6*(x^6 + 1)^(3/4))/(7*x^7)","B"
108,1,12,16,0.204952,"\text{Not used}","int(((x^6 - 1)^(1/3)*(x^6 + 1))/x^5,x)","\frac{{\left(x^6-1\right)}^{4/3}}{4\,x^4}","Not used",1,"(x^6 - 1)^(4/3)/(4*x^4)","B"
109,1,12,16,0.150656,"\text{Not used}","int((x^6 + 2)/(x^4*(x^6 - 1)^(1/4)),x)","\frac{2\,{\left(x^6-1\right)}^{3/4}}{3\,x^3}","Not used",1,"(2*(x^6 - 1)^(3/4))/(3*x^3)","B"
110,1,27,16,0.221002,"\text{Not used}","int(((x^6 - 1)^(3/4)*(x^6 + 2))/x^8,x)","-\frac{2\,{\left(x^6-1\right)}^{3/4}-2\,x^6\,{\left(x^6-1\right)}^{3/4}}{7\,x^7}","Not used",1,"-(2*(x^6 - 1)^(3/4) - 2*x^6*(x^6 - 1)^(3/4))/(7*x^7)","B"
111,1,12,16,0.252040,"\text{Not used}","int((2*x^5 - 3)/(x^3*(x + x^6)^(1/4)),x)","\frac{4\,{\left(x^6+x\right)}^{3/4}}{3\,x^3}","Not used",1,"(4*(x + x^6)^(3/4))/(3*x^3)","B"
112,1,19,16,0.333411,"\text{Not used}","int(-((x + x^4)^(1/3)*(x^3 - x^6 + 2))/x^6,x)","\frac{3\,{\left(x^3+1\right)}^2\,{\left(x^4+x\right)}^{1/3}}{7\,x^5}","Not used",1,"(3*(x^3 + 1)^2*(x + x^4)^(1/3))/(7*x^5)","B"
113,0,-1,16,0.000000,"\text{Not used}","int(-(x*(x^6 + 2))/((x^6 - 1)^(1/2)*(x^4 - x^6 + 1)),x)","\int -\frac{x\,\left(x^6+2\right)}{\sqrt{x^6-1}\,\left(-x^6+x^4+1\right)} \,d x","Not used",1,"int(-(x*(x^6 + 2))/((x^6 - 1)^(1/2)*(x^4 - x^6 + 1)), x)","F"
114,1,12,16,0.207562,"\text{Not used}","int((x^8 - 1)/(x^4*(x^4 - 1)^(1/2)),x)","\frac{{\left(x^4-1\right)}^{3/2}}{3\,x^3}","Not used",1,"(x^4 - 1)^(3/2)/(3*x^3)","B"
115,1,12,16,0.227680,"\text{Not used}","int(((x^8 - 1)*(x^8 + 1)^(1/2))/x^7,x)","\frac{{\left(x^8+1\right)}^{3/2}}{6\,x^6}","Not used",1,"(x^8 + 1)^(3/2)/(6*x^6)","B"
116,0,-1,17,0.000000,"\text{Not used}","int((x + 2*x^2 + 2)/((2*x - 1)*(x + x^4)^(1/2)),x)","\int \frac{2\,x^2+x+2}{\left(2\,x-1\right)\,\sqrt{x^4+x}} \,d x","Not used",1,"int((x + 2*x^2 + 2)/((2*x - 1)*(x + x^4)^(1/2)), x)","F"
117,0,-1,17,0.000000,"\text{Not used}","int((x^2 - 1)/((x^2 + 1)*(x^2 + x^4 + 1)^(1/2)),x)","\int \frac{x^2-1}{\left(x^2+1\right)\,\sqrt{x^4+x^2+1}} \,d x","Not used",1,"int((x^2 - 1)/((x^2 + 1)*(x^2 + x^4 + 1)^(1/2)), x)","F"
118,0,-1,17,0.000000,"\text{Not used}","int((x^4 - 1)/((x^4 + 1)*(x^2 + x^4 + 1)^(1/2)),x)","\int \frac{x^4-1}{\left(x^4+1\right)\,\sqrt{x^4+x^2+1}} \,d x","Not used",1,"int((x^4 - 1)/((x^4 + 1)*(x^2 + x^4 + 1)^(1/2)), x)","F"
119,0,-1,17,0.000000,"\text{Not used}","int((2*x^2 + 2*x^4 - 1)/((x^6 - 1)^(1/2)*(2*x^2 + 1)),x)","\int \frac{2\,x^4+2\,x^2-1}{\sqrt{x^6-1}\,\left(2\,x^2+1\right)} \,d x","Not used",1,"int((2*x^2 + 2*x^4 - 1)/((x^6 - 1)^(1/2)*(2*x^2 + 1)), x)","F"
120,1,14,18,0.213729,"\text{Not used}","int(x^3/(x^2 - 1)^(3/4),x)","\frac{2\,{\left(x^2-1\right)}^{1/4}\,\left(x^2+4\right)}{5}","Not used",1,"(2*(x^2 - 1)^(1/4)*(x^2 + 4))/5","B"
121,1,14,18,0.142395,"\text{Not used}","int((x + 3)/((x^2 - 1)^(1/3)*(x - 1)^2),x)","-\frac{3\,{\left(x^2-1\right)}^{2/3}}{2\,{\left(x-1\right)}^2}","Not used",1,"-(3*(x^2 - 1)^(2/3))/(2*(x - 1)^2)","B"
122,1,14,18,0.196688,"\text{Not used}","int(x^3/(x^2 + 1)^(2/3),x)","\frac{3\,{\left(x^2+1\right)}^{1/3}\,\left(x^2-3\right)}{8}","Not used",1,"(3*(x^2 + 1)^(1/3)*(x^2 - 3))/8","B"
123,1,14,18,0.167112,"\text{Not used}","int(1/(x^2*(x^3 - x)^(1/3)),x)","\frac{3\,{\left(x^3-x\right)}^{2/3}}{4\,x^2}","Not used",1,"(3*(x^3 - x)^(2/3))/(4*x^2)","B"
124,1,31,18,0.169166,"\text{Not used}","int((x^3 - x)^(1/3)/x^4,x)","-\frac{3\,{\left(x^3-x\right)}^{1/3}-3\,x^2\,{\left(x^3-x\right)}^{1/3}}{8\,x^3}","Not used",1,"-(3*(x^3 - x)^(1/3) - 3*x^2*(x^3 - x)^(1/3))/(8*x^3)","B"
125,1,10,18,0.051185,"\text{Not used}","int((x^2 - 1)/((x^2 + 1)*(x + x^3)^(1/2)),x)","-\frac{2\,x}{\sqrt{x^3+x}}","Not used",1,"-(2*x)/(x + x^3)^(1/2)","B"
126,1,14,18,0.173192,"\text{Not used}","int(1/(x*(x^2 + x^3)^(1/3)),x)","-\frac{3\,{\left(x^3+x^2\right)}^{2/3}}{2\,x^2}","Not used",1,"-(3*(x^2 + x^3)^(2/3))/(2*x^2)","B"
127,1,14,18,0.228620,"\text{Not used}","int((x + 2)/(x^2*(x^2 + x^3)^(1/4)),x)","-\frac{4\,{\left(x^3+x^2\right)}^{3/4}}{3\,x^3}","Not used",1,"-(4*(x^2 + x^3)^(3/4))/(3*x^3)","B"
128,1,14,18,0.254461,"\text{Not used}","int(-((b + a*x^3)^(1/2)*(2*b - a*x^3))/x^4,x)","\frac{2\,{\left(a\,x^3+b\right)}^{3/2}}{3\,x^3}","Not used",1,"(2*(b + a*x^3)^(3/2))/(3*x^3)","B"
129,1,14,18,0.139065,"\text{Not used}","int((x + x^2 + 1)/((x^4 - 1)^(1/2)*(x - 1)^2),x)","-\frac{\sqrt{x^4-1}}{2\,{\left(x-1\right)}^2}","Not used",1,"-(x^4 - 1)^(1/2)/(2*(x - 1)^2)","B"
130,1,1,18,0.011030,"\text{Not used}","int((x^4 - 1)/(x^2*(x^3 - x)^(1/2)),x)","0","Not used",1,"0","B"
131,1,14,18,0.189445,"\text{Not used}","int(1/(x^2*(x^4 - x)^(1/2)),x)","\frac{2\,\sqrt{x^4-x}}{3\,x^2}","Not used",1,"(2*(x^4 - x)^(1/2))/(3*x^2)","B"
132,1,14,18,0.183642,"\text{Not used}","int(1/(x^3*(x^4 - x)^(1/4)),x)","\frac{4\,{\left(x^4-x\right)}^{3/4}}{9\,x^3}","Not used",1,"(4*(x^4 - x)^(3/4))/(9*x^3)","B"
133,1,31,18,0.243032,"\text{Not used}","int((x^3 - 1)/(x^6*(x^4 - x)^(1/4)),x)","-\frac{4\,{\left(x^4-x\right)}^{3/4}-4\,x^3\,{\left(x^4-x\right)}^{3/4}}{21\,x^6}","Not used",1,"-(4*(x^4 - x)^(3/4) - 4*x^3*(x^4 - x)^(3/4))/(21*x^6)","B"
134,1,31,18,0.192594,"\text{Not used}","int((x^4 - x)^(1/4)/x^5,x)","-\frac{4\,{\left(x^4-x\right)}^{1/4}-4\,x^3\,{\left(x^4-x\right)}^{1/4}}{15\,x^4}","Not used",1,"-(4*(x^4 - x)^(1/4) - 4*x^3*(x^4 - x)^(1/4))/(15*x^4)","B"
135,1,21,18,0.152713,"\text{Not used}","int(((x^4 - x)^(1/3)*(x^3 + 2))/(x^3 - 1)^2,x)","-\frac{3\,x\,{\left(x^4-x\right)}^{1/3}}{2\,\left(x^3-1\right)}","Not used",1,"-(3*x*(x^4 - x)^(1/3))/(2*(x^3 - 1))","B"
136,1,19,18,0.200811,"\text{Not used}","int((x^4 - x)^(1/2)/x^6,x)","\frac{2\,\sqrt{x^4-x}\,\left(x^3-1\right)}{9\,x^5}","Not used",1,"(2*(x^4 - x)^(1/2)*(x^3 - 1))/(9*x^5)","B"
137,0,-1,18,0.000000,"\text{Not used}","int(x/(x + x^4)^(1/2),x)","\int \frac{x}{\sqrt{x^4+x}} \,d x","Not used",1,"int(x/(x + x^4)^(1/2), x)","F"
138,1,16,18,0.146011,"\text{Not used}","int((x^3 - 2)/((x^3 + 1)*(x + x^4)^(1/3)),x)","-\frac{3\,{\left(x^4+x\right)}^{2/3}}{x^3+1}","Not used",1,"-(3*(x + x^4)^(2/3))/(x^3 + 1)","B"
139,1,14,18,0.152576,"\text{Not used}","int((x^2 - 1)/(x*(x^2 + x^4)^(1/3)),x)","\frac{3\,{\left(x^4+x^2\right)}^{2/3}}{2\,x^2}","Not used",1,"(3*(x^2 + x^4)^(2/3))/(2*x^2)","B"
140,1,14,18,0.122499,"\text{Not used}","int(1/(x^2*(x^2 + x^4)^(1/4)),x)","-\frac{2\,{\left(x^4+x^2\right)}^{3/4}}{3\,x^3}","Not used",1,"-(2*(x^2 + x^4)^(3/4))/(3*x^3)","B"
141,1,29,18,0.172692,"\text{Not used}","int((x^2 + x^4)^(1/4)/x^4,x)","-\frac{2\,{\left(x^4+x^2\right)}^{1/4}}{5\,x}-\frac{2\,{\left(x^4+x^2\right)}^{1/4}}{5\,x^3}","Not used",1,"- (2*(x^2 + x^4)^(1/4))/(5*x) - (2*(x^2 + x^4)^(1/4))/(5*x^3)","B"
142,1,19,18,0.211331,"\text{Not used}","int(((x^2 + x^4)^(1/3)*(x^2 - 1))/x^3,x)","\frac{3\,{\left(x^4+x^2\right)}^{1/3}\,\left(x^2+1\right)}{4\,x^2}","Not used",1,"(3*(x^2 + x^4)^(1/3)*(x^2 + 1))/(4*x^2)","B"
143,1,14,18,0.260767,"\text{Not used}","int(1/(x*(x^3 + x^4)^(1/4)),x)","-\frac{4\,{\left(x^4+x^3\right)}^{3/4}}{3\,x^3}","Not used",1,"-(4*(x^3 + x^4)^(3/4))/(3*x^3)","B"
144,1,43,18,0.242907,"\text{Not used}","int(((x^3 + x^4)^(1/4)*(x + 1))/x^4,x)","-\frac{8\,x\,{\left(x^4+x^3\right)}^{1/4}+4\,{\left(x^4+x^3\right)}^{1/4}+4\,x^2\,{\left(x^4+x^3\right)}^{1/4}}{9\,x^3}","Not used",1,"-(8*x*(x^3 + x^4)^(1/4) + 4*(x^3 + x^4)^(1/4) + 4*x^2*(x^3 + x^4)^(1/4))/(9*x^3)","B"
145,0,-1,18,0.000000,"\text{Not used}","int(-(x - 2*x^4 + 2)/((x + x^4 + 1)*(x + x^2 + x^4 + 1)^(1/2)),x)","\int -\frac{-2\,x^4+x+2}{\left(x^4+x+1\right)\,\sqrt{x^4+x^2+x+1}} \,d x","Not used",1,"int(-(x - 2*x^4 + 2)/((x + x^4 + 1)*(x + x^2 + x^4 + 1)^(1/2)), x)","F"
146,1,14,18,0.249325,"\text{Not used}","int((x^4 + 3)/(x^3*(x^5 - x)^(1/4)),x)","\frac{4\,{\left(x^5-x\right)}^{3/4}}{3\,x^3}","Not used",1,"(4*(x^5 - x)^(3/4))/(3*x^3)","B"
147,1,31,18,0.281212,"\text{Not used}","int(((x^4 - 1)*(x^4 + 3))/(x^6*(x^5 - x)^(1/4)),x)","-\frac{4\,{\left(x^5-x\right)}^{3/4}-4\,x^4\,{\left(x^5-x\right)}^{3/4}}{7\,x^6}","Not used",1,"-(4*(x^5 - x)^(3/4) - 4*x^4*(x^5 - x)^(3/4))/(7*x^6)","B"
148,1,16,18,0.162170,"\text{Not used}","int((x^4 - 3)/((x^4 + 1)*(x + x^5)^(1/4)),x)","-\frac{4\,{\left(x^5+x\right)}^{3/4}}{x^4+1}","Not used",1,"-(4*(x + x^5)^(3/4))/(x^4 + 1)","B"
149,1,19,18,0.210695,"\text{Not used}","int(((x^2 + x^5)^(1/3)*(2*x^3 - 1))/x^3,x)","\frac{3\,{\left(x^5+x^2\right)}^{1/3}\,\left(x^3+1\right)}{4\,x^2}","Not used",1,"(3*(x^2 + x^5)^(1/3)*(x^3 + 1))/(4*x^2)","B"
150,1,14,18,0.190919,"\text{Not used}","int((x^2 - 1)/(x*(x^3 + x^5)^(1/4)),x)","\frac{4\,{\left(x^5+x^3\right)}^{3/4}}{3\,x^3}","Not used",1,"(4*(x^3 + x^5)^(3/4))/(3*x^3)","B"
151,1,41,18,0.267713,"\text{Not used}","int(((x^3 + x^5)^(1/4)*(x^4 - 1))/x^4,x)","\frac{4\,x\,{\left(x^5+x^3\right)}^{1/4}}{9}+\frac{8\,{\left(x^5+x^3\right)}^{1/4}}{9\,x}+\frac{4\,{\left(x^5+x^3\right)}^{1/4}}{9\,x^3}","Not used",1,"(4*x*(x^3 + x^5)^(1/4))/9 + (8*(x^3 + x^5)^(1/4))/(9*x) + (4*(x^3 + x^5)^(1/4))/(9*x^3)","B"
152,0,-1,18,0.000000,"\text{Not used}","int(x^2/(x^6 - 1)^(1/2),x)","\int \frac{x^2}{\sqrt{x^6-1}} \,d x","Not used",1,"int(x^2/(x^6 - 1)^(1/2), x)","F"
153,0,-1,18,0.000000,"\text{Not used}","int(x^2/(x^6 + 1)^(1/2),x)","\int \frac{x^2}{\sqrt{x^6+1}} \,d x","Not used",1,"int(x^2/(x^6 + 1)^(1/2), x)","F"
154,1,31,18,0.283957,"\text{Not used}","int(((x^5 - 1)*(2*x^5 + 3))/(x^6*(x^6 - x)^(1/4)),x)","-\frac{4\,{\left(x^6-x\right)}^{3/4}-4\,x^5\,{\left(x^6-x\right)}^{3/4}}{7\,x^6}","Not used",1,"-(4*(x^6 - x)^(3/4) - 4*x^5*(x^6 - x)^(3/4))/(7*x^6)","B"
155,1,14,18,0.151685,"\text{Not used}","int(1/(x^3*(x^2 + x^6)^(1/3)),x)","-\frac{3\,{\left(x^6+x^2\right)}^{2/3}}{8\,x^4}","Not used",1,"-(3*(x^2 + x^6)^(2/3))/(8*x^4)","B"
156,1,14,18,0.130308,"\text{Not used}","int((x^4 - 1)/(x^2*(x^2 + x^6)^(1/4)),x)","\frac{2\,{\left(x^6+x^2\right)}^{3/4}}{3\,x^3}","Not used",1,"(2*(x^2 + x^6)^(3/4))/(3*x^3)","B"
157,1,19,18,0.207492,"\text{Not used}","int(((x^2 + x^6)^(1/4)*(x^4 - 1))/x^4,x)","\frac{2\,{\left(x^6+x^2\right)}^{1/4}\,\left(x^4+1\right)}{5\,x^3}","Not used",1,"(2*(x^2 + x^6)^(1/4)*(x^4 + 1))/(5*x^3)","B"
158,0,-1,18,0.000000,"\text{Not used}","int(((x^2 + 1)^(1/2) + 1)^(1/2)/(x^2 + 1)^(1/2),x)","\int \frac{\sqrt{\sqrt{x^2+1}+1}}{\sqrt{x^2+1}} \,d x","Not used",1,"int(((x^2 + 1)^(1/2) + 1)^(1/2)/(x^2 + 1)^(1/2), x)","F"
159,1,276,19,0.188858,"\text{Not used}","int(-(2*x - x^2 + 2)/((x^3 - 1)^(1/2)*(x + x^2 + 1)),x)","\frac{\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\left(6+9\,\sin\left(2\,\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\right)\,\sqrt{\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}+1}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}-6\,x+\sqrt{3}\,x\,2{}\mathrm{i}+\sqrt{3}\,2{}\mathrm{i}-\sqrt{3}\,x^2\,4{}\mathrm{i}-\sqrt{3}\,\sin\left(2\,\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\right)\,\sqrt{\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}+1}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,3{}\mathrm{i}\right)}{6\,\sqrt{1-\frac{x-1}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}+1}\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"((-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(3^(1/2)*x*2i - 6*x + 3^(1/2)*2i - 3^(1/2)*x^2*4i + 9*sin(2*asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)))*((x - 1)/((3^(1/2)*1i)/2 + 3/2) + 1)^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2) - 3^(1/2)*sin(2*asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)))*((x - 1)/((3^(1/2)*1i)/2 + 3/2) + 1)^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*3i + 6))/(6*(1 - (x - 1)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x - 1)/((3^(1/2)*1i)/2 + 3/2) + 1)^(1/2)*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2))","B"
160,1,17,19,0.211989,"\text{Not used}","int((b + a*x^2)/(x*(a*x^3 - b*x)^(1/2)),x)","\frac{2\,\sqrt{a\,x^3-b\,x}}{x}","Not used",1,"(2*(a*x^3 - b*x)^(1/2))/x","B"
161,0,-1,19,0.000000,"\text{Not used}","int(-(2*x - 2*x^2 + 1)/((2*x^2 + 1)*(x + x^4)^(1/2)),x)","\int -\frac{-2\,x^2+2\,x+1}{\left(2\,x^2+1\right)\,\sqrt{x^4+x}} \,d x","Not used",1,"int(-(2*x - 2*x^2 + 1)/((2*x^2 + 1)*(x + x^4)^(1/2)), x)","F"
162,0,-1,19,0.000000,"\text{Not used}","int((x^4 + 1)/((x^4 - 1)*(x^4 - x^2 - 1)^(1/2)),x)","\int \frac{x^4+1}{\left(x^4-1\right)\,\sqrt{x^4-x^2-1}} \,d x","Not used",1,"int((x^4 + 1)/((x^4 - 1)*(x^4 - x^2 - 1)^(1/2)), x)","F"
163,1,30,19,0.198843,"\text{Not used}","int(x/(6*x^2 - 4*x - 4*x^3 + x^4 + 1)^(1/5),x)","\frac{5\,\left(x+5\right)\,{\left(x^4-4\,x^3+6\,x^2-4\,x+1\right)}^{4/5}}{6\,{\left(x-1\right)}^3}","Not used",1,"(5*(x + 5)*(6*x^2 - 4*x - 4*x^3 + x^4 + 1)^(4/5))/(6*(x - 1)^3)","B"
164,1,15,19,0.141745,"\text{Not used}","int((x^6 - 2)/(x^4*(x^4 + x^6 + 1)^(1/4)),x)","\frac{2\,{\left(x^6+x^4+1\right)}^{3/4}}{3\,x^3}","Not used",1,"(2*(x^4 + x^6 + 1)^(3/4))/(3*x^3)","B"
165,1,15,19,0.220216,"\text{Not used}","int((x^8 + 1)/(x^4*(x^4 + x^8 - 1)^(1/4)),x)","\frac{{\left(x^8+x^4-1\right)}^{3/4}}{3\,x^3}","Not used",1,"(x^4 + x^8 - 1)^(3/4)/(3*x^3)","B"
166,1,15,19,0.145971,"\text{Not used}","int((x^8 - 1)/(x^4*(x^4 + x^8 + 1)^(1/4)),x)","\frac{{\left(x^8+x^4+1\right)}^{3/4}}{3\,x^3}","Not used",1,"(x^4 + x^8 + 1)^(3/4)/(3*x^3)","B"
167,1,12,20,0.067400,"\text{Not used}","int((x^2 + 1)/((x^3 - x)^(1/2)*(x^2 - 1)),x)","-\frac{2\,x}{\sqrt{x^3-x}}","Not used",1,"-(2*x)/(x^3 - x)^(1/2)","B"
168,1,18,20,0.152652,"\text{Not used}","int(1/((x^2 + 1)*(x + x^3)^(1/3)),x)","\frac{3\,{\left(x^3+x\right)}^{2/3}}{2\,\left(x^2+1\right)}","Not used",1,"(3*(x + x^3)^(2/3))/(2*(x^2 + 1))","B"
169,1,16,20,0.198458,"\text{Not used}","int(1/(x*(x^3 - x^2)^(1/3)),x)","\frac{3\,{\left(x^3-x^2\right)}^{2/3}}{2\,x^2}","Not used",1,"(3*(x^3 - x^2)^(2/3))/(2*x^2)","B"
170,1,16,20,0.303843,"\text{Not used}","int(x^2/(a*x^3 - b)^(1/2),x)","\frac{2\,\sqrt{a\,x^3-b}}{3\,a}","Not used",1,"(2*(a*x^3 - b)^(1/2))/(3*a)","B"
171,1,16,20,0.239776,"\text{Not used}","int(x^2*(a*x^3 - b)^(1/2),x)","\frac{2\,{\left(a\,x^3-b\right)}^{3/2}}{9\,a}","Not used",1,"(2*(a*x^3 - b)^(3/2))/(9*a)","B"
172,1,16,20,0.235020,"\text{Not used}","int(((a*x^3 - b)^(1/2)*(2*b + a*x^3))/x^4,x)","\frac{2\,{\left(a\,x^3-b\right)}^{3/2}}{3\,x^3}","Not used",1,"(2*(a*x^3 - b)^(3/2))/(3*x^3)","B"
173,1,16,20,0.365470,"\text{Not used}","int(1/(x^2*(x^4 - x^2)^(1/4)),x)","\frac{2\,{\left(x^4-x^2\right)}^{3/4}}{3\,x^3}","Not used",1,"(2*(x^4 - x^2)^(3/4))/(3*x^3)","B"
174,1,33,20,0.176547,"\text{Not used}","int((x^4 - x^2)^(1/4)/x^4,x)","\frac{2\,{\left(x^4-x^2\right)}^{1/4}}{5\,x}-\frac{2\,{\left(x^4-x^2\right)}^{1/4}}{5\,x^3}","Not used",1,"(2*(x^4 - x^2)^(1/4))/(5*x) - (2*(x^4 - x^2)^(1/4))/(5*x^3)","B"
175,1,21,20,0.205317,"\text{Not used}","int(((x^2 + 1)*(x^4 - x^2)^(1/3))/x^3,x)","\frac{3\,\left(x^2-1\right)\,{\left(x^4-x^2\right)}^{1/3}}{4\,x^2}","Not used",1,"(3*(x^2 - 1)*(x^4 - x^2)^(1/3))/(4*x^2)","B"
176,1,16,20,0.301279,"\text{Not used}","int(1/(x*(x^4 - x^3)^(1/4)),x)","\frac{4\,{\left(x^4-x^3\right)}^{3/4}}{3\,x^3}","Not used",1,"(4*(x^4 - x^3)^(3/4))/(3*x^3)","B"
177,1,49,20,0.248433,"\text{Not used}","int(((x^4 - x^3)^(1/4)*(x - 1))/x^4,x)","\frac{4\,x^2\,{\left(x^4-x^3\right)}^{1/4}-8\,x\,{\left(x^4-x^3\right)}^{1/4}+4\,{\left(x^4-x^3\right)}^{1/4}}{9\,x^3}","Not used",1,"(4*x^2*(x^4 - x^3)^(1/4) - 8*x*(x^4 - x^3)^(1/4) + 4*(x^4 - x^3)^(1/4))/(9*x^3)","B"
178,1,33,20,0.166305,"\text{Not used}","int((x^4 - x^3)^(1/4)/x^3,x)","\frac{4\,x\,{\left(x^4-x^3\right)}^{1/4}-4\,{\left(x^4-x^3\right)}^{1/4}}{5\,x^2}","Not used",1,"(4*x*(x^4 - x^3)^(1/4) - 4*(x^4 - x^3)^(1/4))/(5*x^2)","B"
179,1,16,20,0.168006,"\text{Not used}","int(x*(2*x^2 + 1)*(2*x^2 + 2*x^4 - 1)^(1/2),x)","\frac{{\left(2\,x^4+2\,x^2-1\right)}^{3/2}}{6}","Not used",1,"(2*x^2 + 2*x^4 - 1)^(3/2)/6","B"
180,1,21,20,0.222145,"\text{Not used}","int(((x^5 - x^2)^(1/3)*(2*x^3 + 1))/x^3,x)","\frac{3\,\left(x^3-1\right)\,{\left(x^5-x^2\right)}^{1/3}}{4\,x^2}","Not used",1,"(3*(x^3 - 1)*(x^5 - x^2)^(1/3))/(4*x^2)","B"
181,1,35,20,0.282618,"\text{Not used}","int((x^4 - 1)/(x^2*(x^5 - x^3)^(1/4)),x)","\frac{4\,x^2\,{\left(x^5-x^3\right)}^{3/4}-4\,{\left(x^5-x^3\right)}^{3/4}}{7\,x^4}","Not used",1,"(4*x^2*(x^5 - x^3)^(3/4) - 4*(x^5 - x^3)^(3/4))/(7*x^4)","B"
182,1,47,20,0.262365,"\text{Not used}","int(((x^4 - 1)*(x^5 - x^3)^(1/4))/x^4,x)","\frac{4\,{\left(x^5-x^3\right)}^{1/4}}{9\,x^3}-\frac{8\,{\left(x^5-x^3\right)}^{1/4}}{9\,x}+\frac{4\,x\,{\left(x^5-x^3\right)}^{1/4}}{9}","Not used",1,"(4*(x^5 - x^3)^(1/4))/(9*x^3) - (8*(x^5 - x^3)^(1/4))/(9*x) + (4*x*(x^5 - x^3)^(1/4))/9","B"
183,1,18,20,0.166756,"\text{Not used}","int(-(2*x^2 - 2*x^4 + 1)/(x^2*(x^2 + 1)*(x^6 + 1)^(1/2)),x)","\frac{\sqrt{x^6+1}}{x\,\left(x^2+1\right)}","Not used",1,"(x^6 + 1)^(1/2)/(x*(x^2 + 1))","B"
184,1,16,20,0.239385,"\text{Not used}","int(1/(x^3*(x^6 - x^2)^(1/3)),x)","\frac{3\,{\left(x^6-x^2\right)}^{2/3}}{8\,x^4}","Not used",1,"(3*(x^6 - x^2)^(2/3))/(8*x^4)","B"
185,1,16,20,0.213641,"\text{Not used}","int((x^4 + 1)/(x^2*(x^6 - x^2)^(1/4)),x)","\frac{2\,{\left(x^6-x^2\right)}^{3/4}}{3\,x^3}","Not used",1,"(2*(x^6 - x^2)^(3/4))/(3*x^3)","B"
186,1,21,20,0.210496,"\text{Not used}","int(((x^4 + 1)*(x^6 - x^2)^(1/4))/x^4,x)","\frac{2\,\left(x^4-1\right)\,{\left(x^6-x^2\right)}^{1/4}}{5\,x^3}","Not used",1,"(2*(x^4 - 1)*(x^6 - x^2)^(1/4))/(5*x^3)","B"
187,1,33,20,0.255020,"\text{Not used}","int((x^8 - 1)/(x^4*(x^6 - x^2)^(1/4)),x)","\frac{2\,{\left(x^6-x^2\right)}^{3/4}}{7\,x}-\frac{2\,{\left(x^6-x^2\right)}^{3/4}}{7\,x^5}","Not used",1,"(2*(x^6 - x^2)^(3/4))/(7*x) - (2*(x^6 - x^2)^(3/4))/(7*x^5)","B"
188,1,12,20,0.241090,"\text{Not used}","int(-(x^8 + 1)/(1 - x^8)^(5/4),x)","-\frac{x}{{\left(1-x^8\right)}^{1/4}}","Not used",1,"-x/(1 - x^8)^(1/4)","B"
189,0,-1,20,0.000000,"\text{Not used}","int(1/(x^8 - x^2)^(1/2),x)","\int \frac{1}{\sqrt{x^8-x^2}} \,d x","Not used",1,"int(1/(x^8 - x^2)^(1/2), x)","F"
190,0,-1,20,0.000000,"\text{Not used}","int(((x^2 + 1)^(1/2) + 1)^(1/2)/(x^2 + 1),x)","\int \frac{\sqrt{\sqrt{x^2+1}+1}}{x^2+1} \,d x","Not used",1,"int(((x^2 + 1)^(1/2) + 1)^(1/2)/(x^2 + 1), x)","F"
191,1,206,21,0.302015,"\text{Not used}","int((x - 1)/((x^3 - 1)^(1/2)*(x + 2)),x)","-\frac{\left(3+\sqrt{3}\,1{}\mathrm{i}\right)\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\left(\mathrm{F}\left(\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)-\Pi \left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6};\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)\right)\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}}{\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"-((3^(1/2)*1i + 3)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(ellipticF(asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)) - ellipticPi((3^(1/2)*1i)/6 + 1/2, asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2))/(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2)","B"
192,1,275,21,0.172270,"\text{Not used}","int(-(2*x - x^2 + 2)/((x^2 + 2)*(x^3 - 1)^(1/2)),x)","\frac{\left(3+\sqrt{3}\,1{}\mathrm{i}\right)\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\left(-\mathrm{F}\left(\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)+\Pi \left(\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{1+\sqrt{2}\,1{}\mathrm{i}};\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)+\Pi \left(-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-1+\sqrt{2}\,1{}\mathrm{i}};\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)\right)}{\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"((3^(1/2)*1i + 3)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(ellipticPi(((3^(1/2)*1i)/2 + 3/2)/(2^(1/2)*1i + 1), asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)) - ellipticF(asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)) + ellipticPi(-((3^(1/2)*1i)/2 + 3/2)/(2^(1/2)*1i - 1), asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2))))/(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2)","B"
193,1,252,21,0.155820,"\text{Not used}","int(-(2*x - x^2 + 2)/((2*x + x^2)*(x^3 - 1)^(1/2)),x)","\frac{\left(3+\sqrt{3}\,1{}\mathrm{i}\right)\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\left(-\mathrm{F}\left(\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)+\Pi \left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)+\Pi \left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6};\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)\right)}{\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"((3^(1/2)*1i + 3)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(ellipticPi((3^(1/2)*1i)/2 + 3/2, asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)) - ellipticF(asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)) + ellipticPi((3^(1/2)*1i)/6 + 1/2, asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2))))/(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2)","B"
194,1,19,21,0.192658,"\text{Not used}","int((2*x + 2*x^2 - 1)/(x*(x^4 - x)^(1/2)*(x - 1)),x)","-\frac{2\,\sqrt{x^4-x}}{x\,\left(x-1\right)}","Not used",1,"-(2*(x^4 - x)^(1/2))/(x*(x - 1))","B"
195,0,-1,21,0.000000,"\text{Not used}","int((2*x + 2*x^2 - 1)/((x^4 - x)^(1/2)*(2*x^2 + 1)),x)","\int \frac{2\,x^2+2\,x-1}{\sqrt{x^4-x}\,\left(2\,x^2+1\right)} \,d x","Not used",1,"int((2*x + 2*x^2 - 1)/((x^4 - x)^(1/2)*(2*x^2 + 1)), x)","F"
196,0,-1,21,0.000000,"\text{Not used}","int(-(2*x - 2*x^2 + 1)/((2*x - 1)*(x + x^4)^(1/2)),x)","\int -\frac{-2\,x^2+2\,x+1}{\left(2\,x-1\right)\,\sqrt{x^4+x}} \,d x","Not used",1,"int(-(2*x - 2*x^2 + 1)/((2*x - 1)*(x + x^4)^(1/2)), x)","F"
197,1,19,21,0.171340,"\text{Not used}","int(-(2*x - 2*x^2 + 1)/((x + x^4)^(1/2)*(x^2 - x + 1)),x)","-\frac{2\,\sqrt{x^4+x}}{x^2-x+1}","Not used",1,"-(2*(x + x^4)^(1/2))/(x^2 - x + 1)","B"
198,1,19,21,0.166010,"\text{Not used}","int(1/((x^3 + x^4)^(1/4)*(x + 1)),x)","\frac{4\,{\left(x^4+x^3\right)}^{3/4}}{x^2\,\left(x+1\right)}","Not used",1,"(4*(x^3 + x^4)^(3/4))/(x^2*(x + 1))","B"
199,0,-1,21,0.000000,"\text{Not used}","int((2*x^4 + 1)/((2*x^4 - 1)*(2*x^4 - x^2 - 1)^(1/2)),x)","\int \frac{2\,x^4+1}{\left(2\,x^4-1\right)\,\sqrt{2\,x^4-x^2-1}} \,d x","Not used",1,"int((2*x^4 + 1)/((2*x^4 - 1)*(2*x^4 - x^2 - 1)^(1/2)), x)","F"
200,0,-1,21,0.000000,"\text{Not used}","int((2*x^4 - 1)/((2*x^2 + 2*x^4 + 1)*(3*x^2 + 2*x^4 + 1)^(1/2)),x)","\int \frac{2\,x^4-1}{\left(2\,x^4+2\,x^2+1\right)\,\sqrt{2\,x^4+3\,x^2+1}} \,d x","Not used",1,"int((2*x^4 - 1)/((2*x^2 + 2*x^4 + 1)*(3*x^2 + 2*x^4 + 1)^(1/2)), x)","F"
201,1,17,21,0.323413,"\text{Not used}","int(((x^5 - 4)*(x^4 - x^5 - 1)^(1/4))/x^6,x)","-\frac{4\,{\left(-x^5+x^4-1\right)}^{5/4}}{5\,x^5}","Not used",1,"-(4*(x^4 - x^5 - 1)^(5/4))/(5*x^5)","B"
202,1,17,21,0.361291,"\text{Not used}","int(((x^8 + 1)*(x^8 - 2*x^4 - 1)^(1/2))/x^7,x)","\frac{{\left(x^8-2\,x^4-1\right)}^{3/2}}{6\,x^6}","Not used",1,"(x^8 - 2*x^4 - 1)^(3/2)/(6*x^6)","B"
203,1,2737,21,0.099587,"\text{Not used}","int((x^2*(x^3 + 1)^(1/2)*(x^3 - 2))/(12*x^3 + 13*x^6 + 4*x^9 + 4),x)","-\frac{\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{{\left(-1\right)}^{1/3}\,2^{1/3}+1};\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{3\,\left({\left(-1\right)}^{1/3}\,2^{1/3}+1\right)\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}+\frac{2\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{{\left(-\frac{5}{8}-\frac{\sqrt{7}\,1{}\mathrm{i}}{8}\right)}^{1/3}+1};\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)\,\left(2\,{\left(-\frac{5}{8}-\frac{\sqrt{7}\,1{}\mathrm{i}}{8}\right)}^{2/3}+{\left(-\frac{5}{8}-\frac{\sqrt{7}\,1{}\mathrm{i}}{8}\right)}^{5/3}-{\left(-\frac{5}{8}-\frac{\sqrt{7}\,1{}\mathrm{i}}{8}\right)}^{8/3}\right)}{\left({\left(-\frac{5}{8}-\frac{\sqrt{7}\,1{}\mathrm{i}}{8}\right)}^{1/3}+1\right)\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}\,\left(36\,{\left(-\frac{5}{8}-\frac{\sqrt{7}\,1{}\mathrm{i}}{8}\right)}^{2/3}+78\,{\left(-\frac{5}{8}-\frac{\sqrt{7}\,1{}\mathrm{i}}{8}\right)}^{5/3}+36\,{\left(-\frac{5}{8}-\frac{\sqrt{7}\,1{}\mathrm{i}}{8}\right)}^{8/3}\right)}+\frac{2\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{{\left(-\frac{5}{8}+\frac{\sqrt{7}\,1{}\mathrm{i}}{8}\right)}^{1/3}+1};\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)\,\left(2\,{\left(-\frac{5}{8}+\frac{\sqrt{7}\,1{}\mathrm{i}}{8}\right)}^{2/3}+{\left(-\frac{5}{8}+\frac{\sqrt{7}\,1{}\mathrm{i}}{8}\right)}^{5/3}-{\left(-\frac{5}{8}+\frac{\sqrt{7}\,1{}\mathrm{i}}{8}\right)}^{8/3}\right)}{\left({\left(-\frac{5}{8}+\frac{\sqrt{7}\,1{}\mathrm{i}}{8}\right)}^{1/3}+1\right)\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}\,\left(36\,{\left(-\frac{5}{8}+\frac{\sqrt{7}\,1{}\mathrm{i}}{8}\right)}^{2/3}+78\,{\left(-\frac{5}{8}+\frac{\sqrt{7}\,1{}\mathrm{i}}{8}\right)}^{5/3}+36\,{\left(-\frac{5}{8}+\frac{\sqrt{7}\,1{}\mathrm{i}}{8}\right)}^{8/3}\right)}+\frac{2\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{5}{8}-\frac{\sqrt{7}\,1{}\mathrm{i}}{8}\right)}^{1/3}+1};\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)\,\left(2\,{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\,{\left(-\frac{5}{8}-\frac{\sqrt{7}\,1{}\mathrm{i}}{8}\right)}^{2/3}+{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^5\,{\left(-\frac{5}{8}-\frac{\sqrt{7}\,1{}\mathrm{i}}{8}\right)}^{5/3}-{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^8\,{\left(-\frac{5}{8}-\frac{\sqrt{7}\,1{}\mathrm{i}}{8}\right)}^{8/3}\right)}{\left(\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{5}{8}-\frac{\sqrt{7}\,1{}\mathrm{i}}{8}\right)}^{1/3}+1\right)\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}\,\left(36\,{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\,{\left(-\frac{5}{8}-\frac{\sqrt{7}\,1{}\mathrm{i}}{8}\right)}^{2/3}+78\,{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^5\,{\left(-\frac{5}{8}-\frac{\sqrt{7}\,1{}\mathrm{i}}{8}\right)}^{5/3}+36\,{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^8\,{\left(-\frac{5}{8}-\frac{\sqrt{7}\,1{}\mathrm{i}}{8}\right)}^{8/3}\right)}+\frac{2\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{5}{8}+\frac{\sqrt{7}\,1{}\mathrm{i}}{8}\right)}^{1/3}+1};\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)\,\left(2\,{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\,{\left(-\frac{5}{8}+\frac{\sqrt{7}\,1{}\mathrm{i}}{8}\right)}^{2/3}+{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^5\,{\left(-\frac{5}{8}+\frac{\sqrt{7}\,1{}\mathrm{i}}{8}\right)}^{5/3}-{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^8\,{\left(-\frac{5}{8}+\frac{\sqrt{7}\,1{}\mathrm{i}}{8}\right)}^{8/3}\right)}{\left(\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{5}{8}+\frac{\sqrt{7}\,1{}\mathrm{i}}{8}\right)}^{1/3}+1\right)\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}\,\left(36\,{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\,{\left(-\frac{5}{8}+\frac{\sqrt{7}\,1{}\mathrm{i}}{8}\right)}^{2/3}+78\,{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^5\,{\left(-\frac{5}{8}+\frac{\sqrt{7}\,1{}\mathrm{i}}{8}\right)}^{5/3}+36\,{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^8\,{\left(-\frac{5}{8}+\frac{\sqrt{7}\,1{}\mathrm{i}}{8}\right)}^{8/3}\right)}+\frac{2\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{5}{8}-\frac{\sqrt{7}\,1{}\mathrm{i}}{8}\right)}^{1/3}-1};\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)\,\left(-2\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\,{\left(-\frac{5}{8}-\frac{\sqrt{7}\,1{}\mathrm{i}}{8}\right)}^{2/3}+{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^5\,{\left(-\frac{5}{8}-\frac{\sqrt{7}\,1{}\mathrm{i}}{8}\right)}^{5/3}+{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^8\,{\left(-\frac{5}{8}-\frac{\sqrt{7}\,1{}\mathrm{i}}{8}\right)}^{8/3}\right)}{\left(\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{5}{8}-\frac{\sqrt{7}\,1{}\mathrm{i}}{8}\right)}^{1/3}-1\right)\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}\,\left(36\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\,{\left(-\frac{5}{8}-\frac{\sqrt{7}\,1{}\mathrm{i}}{8}\right)}^{2/3}-78\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^5\,{\left(-\frac{5}{8}-\frac{\sqrt{7}\,1{}\mathrm{i}}{8}\right)}^{5/3}+36\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^8\,{\left(-\frac{5}{8}-\frac{\sqrt{7}\,1{}\mathrm{i}}{8}\right)}^{8/3}\right)}+\frac{2\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{5}{8}+\frac{\sqrt{7}\,1{}\mathrm{i}}{8}\right)}^{1/3}-1};\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)\,\left(-2\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\,{\left(-\frac{5}{8}+\frac{\sqrt{7}\,1{}\mathrm{i}}{8}\right)}^{2/3}+{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^5\,{\left(-\frac{5}{8}+\frac{\sqrt{7}\,1{}\mathrm{i}}{8}\right)}^{5/3}+{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^8\,{\left(-\frac{5}{8}+\frac{\sqrt{7}\,1{}\mathrm{i}}{8}\right)}^{8/3}\right)}{\left(\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{5}{8}+\frac{\sqrt{7}\,1{}\mathrm{i}}{8}\right)}^{1/3}-1\right)\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}\,\left(36\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\,{\left(-\frac{5}{8}+\frac{\sqrt{7}\,1{}\mathrm{i}}{8}\right)}^{2/3}-78\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^5\,{\left(-\frac{5}{8}+\frac{\sqrt{7}\,1{}\mathrm{i}}{8}\right)}^{5/3}+36\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^8\,{\left(-\frac{5}{8}+\frac{\sqrt{7}\,1{}\mathrm{i}}{8}\right)}^{8/3}\right)}-\frac{2\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\left(-2\,{\left(-1\right)}^{2/3}\,2^{2/3}\,{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2+2\,{\left(-1\right)}^{2/3}\,2^{2/3}\,{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^5+4\,{\left(-1\right)}^{2/3}\,2^{2/3}\,{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^8\right)\,\Pi \left(\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{{\left(-1\right)}^{1/3}\,2^{1/3}\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)+1};\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{\left({\left(-1\right)}^{1/3}\,2^{1/3}\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)+1\right)\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}\,\left(36\,{\left(-1\right)}^{2/3}\,2^{2/3}\,{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2-156\,{\left(-1\right)}^{2/3}\,2^{2/3}\,{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^5+144\,{\left(-1\right)}^{2/3}\,2^{2/3}\,{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^8\right)}-\frac{2\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\left(2\,{\left(-1\right)}^{2/3}\,2^{2/3}\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2+2\,{\left(-1\right)}^{2/3}\,2^{2/3}\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^5-4\,{\left(-1\right)}^{2/3}\,2^{2/3}\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^8\right)\,\Pi \left(-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{{\left(-1\right)}^{1/3}\,2^{1/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1};\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{\left({\left(-1\right)}^{1/3}\,2^{1/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}\,\left(36\,{\left(-1\right)}^{2/3}\,2^{2/3}\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2+156\,{\left(-1\right)}^{2/3}\,2^{2/3}\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^5+144\,{\left(-1\right)}^{2/3}\,2^{2/3}\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^8\right)}","Not used",1,"(2*((3^(1/2)*1i)/2 + 3/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi(((3^(1/2)*1i)/2 + 3/2)/((- (7^(1/2)*1i)/8 - 5/8)^(1/3) + 1), asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2))*(2*(- (7^(1/2)*1i)/8 - 5/8)^(2/3) + (- (7^(1/2)*1i)/8 - 5/8)^(5/3) - (- (7^(1/2)*1i)/8 - 5/8)^(8/3)))/(((- (7^(1/2)*1i)/8 - 5/8)^(1/3) + 1)*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2)*(36*(- (7^(1/2)*1i)/8 - 5/8)^(2/3) + 78*(- (7^(1/2)*1i)/8 - 5/8)^(5/3) + 36*(- (7^(1/2)*1i)/8 - 5/8)^(8/3))) - (((3^(1/2)*1i)/2 + 3/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi(((3^(1/2)*1i)/2 + 3/2)/((-1)^(1/3)*2^(1/3) + 1), asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(3*((-1)^(1/3)*2^(1/3) + 1)*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2)) + (2*((3^(1/2)*1i)/2 + 3/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi(((3^(1/2)*1i)/2 + 3/2)/(((7^(1/2)*1i)/8 - 5/8)^(1/3) + 1), asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2))*(2*((7^(1/2)*1i)/8 - 5/8)^(2/3) + ((7^(1/2)*1i)/8 - 5/8)^(5/3) - ((7^(1/2)*1i)/8 - 5/8)^(8/3)))/((((7^(1/2)*1i)/8 - 5/8)^(1/3) + 1)*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2)*(36*((7^(1/2)*1i)/8 - 5/8)^(2/3) + 78*((7^(1/2)*1i)/8 - 5/8)^(5/3) + 36*((7^(1/2)*1i)/8 - 5/8)^(8/3))) + (2*((3^(1/2)*1i)/2 + 3/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi(((3^(1/2)*1i)/2 + 3/2)/(((3^(1/2)*1i)/2 - 1/2)*(- (7^(1/2)*1i)/8 - 5/8)^(1/3) + 1), asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2))*(2*((3^(1/2)*1i)/2 - 1/2)^2*(- (7^(1/2)*1i)/8 - 5/8)^(2/3) + ((3^(1/2)*1i)/2 - 1/2)^5*(- (7^(1/2)*1i)/8 - 5/8)^(5/3) - ((3^(1/2)*1i)/2 - 1/2)^8*(- (7^(1/2)*1i)/8 - 5/8)^(8/3)))/((((3^(1/2)*1i)/2 - 1/2)*(- (7^(1/2)*1i)/8 - 5/8)^(1/3) + 1)*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2)*(36*((3^(1/2)*1i)/2 - 1/2)^2*(- (7^(1/2)*1i)/8 - 5/8)^(2/3) + 78*((3^(1/2)*1i)/2 - 1/2)^5*(- (7^(1/2)*1i)/8 - 5/8)^(5/3) + 36*((3^(1/2)*1i)/2 - 1/2)^8*(- (7^(1/2)*1i)/8 - 5/8)^(8/3))) + (2*((3^(1/2)*1i)/2 + 3/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi(((3^(1/2)*1i)/2 + 3/2)/(((3^(1/2)*1i)/2 - 1/2)*((7^(1/2)*1i)/8 - 5/8)^(1/3) + 1), asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2))*(2*((3^(1/2)*1i)/2 - 1/2)^2*((7^(1/2)*1i)/8 - 5/8)^(2/3) + ((3^(1/2)*1i)/2 - 1/2)^5*((7^(1/2)*1i)/8 - 5/8)^(5/3) - ((3^(1/2)*1i)/2 - 1/2)^8*((7^(1/2)*1i)/8 - 5/8)^(8/3)))/((((3^(1/2)*1i)/2 - 1/2)*((7^(1/2)*1i)/8 - 5/8)^(1/3) + 1)*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2)*(36*((3^(1/2)*1i)/2 - 1/2)^2*((7^(1/2)*1i)/8 - 5/8)^(2/3) + 78*((3^(1/2)*1i)/2 - 1/2)^5*((7^(1/2)*1i)/8 - 5/8)^(5/3) + 36*((3^(1/2)*1i)/2 - 1/2)^8*((7^(1/2)*1i)/8 - 5/8)^(8/3))) + (2*((3^(1/2)*1i)/2 + 3/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi(-((3^(1/2)*1i)/2 + 3/2)/(((3^(1/2)*1i)/2 + 1/2)*(- (7^(1/2)*1i)/8 - 5/8)^(1/3) - 1), asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2))*(((3^(1/2)*1i)/2 + 1/2)^5*(- (7^(1/2)*1i)/8 - 5/8)^(5/3) - 2*((3^(1/2)*1i)/2 + 1/2)^2*(- (7^(1/2)*1i)/8 - 5/8)^(2/3) + ((3^(1/2)*1i)/2 + 1/2)^8*(- (7^(1/2)*1i)/8 - 5/8)^(8/3)))/((((3^(1/2)*1i)/2 + 1/2)*(- (7^(1/2)*1i)/8 - 5/8)^(1/3) - 1)*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2)*(36*((3^(1/2)*1i)/2 + 1/2)^2*(- (7^(1/2)*1i)/8 - 5/8)^(2/3) - 78*((3^(1/2)*1i)/2 + 1/2)^5*(- (7^(1/2)*1i)/8 - 5/8)^(5/3) + 36*((3^(1/2)*1i)/2 + 1/2)^8*(- (7^(1/2)*1i)/8 - 5/8)^(8/3))) + (2*((3^(1/2)*1i)/2 + 3/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi(-((3^(1/2)*1i)/2 + 3/2)/(((3^(1/2)*1i)/2 + 1/2)*((7^(1/2)*1i)/8 - 5/8)^(1/3) - 1), asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2))*(((3^(1/2)*1i)/2 + 1/2)^5*((7^(1/2)*1i)/8 - 5/8)^(5/3) - 2*((3^(1/2)*1i)/2 + 1/2)^2*((7^(1/2)*1i)/8 - 5/8)^(2/3) + ((3^(1/2)*1i)/2 + 1/2)^8*((7^(1/2)*1i)/8 - 5/8)^(8/3)))/((((3^(1/2)*1i)/2 + 1/2)*((7^(1/2)*1i)/8 - 5/8)^(1/3) - 1)*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2)*(36*((3^(1/2)*1i)/2 + 1/2)^2*((7^(1/2)*1i)/8 - 5/8)^(2/3) - 78*((3^(1/2)*1i)/2 + 1/2)^5*((7^(1/2)*1i)/8 - 5/8)^(5/3) + 36*((3^(1/2)*1i)/2 + 1/2)^8*((7^(1/2)*1i)/8 - 5/8)^(8/3))) - (2*((3^(1/2)*1i)/2 + 3/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(2*(-1)^(2/3)*2^(2/3)*((3^(1/2)*1i)/2 - 1/2)^5 - 2*(-1)^(2/3)*2^(2/3)*((3^(1/2)*1i)/2 - 1/2)^2 + 4*(-1)^(2/3)*2^(2/3)*((3^(1/2)*1i)/2 - 1/2)^8)*ellipticPi(((3^(1/2)*1i)/2 + 3/2)/((-1)^(1/3)*2^(1/3)*((3^(1/2)*1i)/2 - 1/2) + 1), asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(((-1)^(1/3)*2^(1/3)*((3^(1/2)*1i)/2 - 1/2) + 1)*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2)*(36*(-1)^(2/3)*2^(2/3)*((3^(1/2)*1i)/2 - 1/2)^2 - 156*(-1)^(2/3)*2^(2/3)*((3^(1/2)*1i)/2 - 1/2)^5 + 144*(-1)^(2/3)*2^(2/3)*((3^(1/2)*1i)/2 - 1/2)^8)) - (2*((3^(1/2)*1i)/2 + 3/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(2*(-1)^(2/3)*2^(2/3)*((3^(1/2)*1i)/2 + 1/2)^2 + 2*(-1)^(2/3)*2^(2/3)*((3^(1/2)*1i)/2 + 1/2)^5 - 4*(-1)^(2/3)*2^(2/3)*((3^(1/2)*1i)/2 + 1/2)^8)*ellipticPi(-((3^(1/2)*1i)/2 + 3/2)/((-1)^(1/3)*2^(1/3)*((3^(1/2)*1i)/2 + 1/2) - 1), asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(((-1)^(1/3)*2^(1/3)*((3^(1/2)*1i)/2 + 1/2) - 1)*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2)*(36*(-1)^(2/3)*2^(2/3)*((3^(1/2)*1i)/2 + 1/2)^2 + 156*(-1)^(2/3)*2^(2/3)*((3^(1/2)*1i)/2 + 1/2)^5 + 144*(-1)^(2/3)*2^(2/3)*((3^(1/2)*1i)/2 + 1/2)^8))","B"
204,1,20,22,0.164865,"\text{Not used}","int(1/((x^3 - x)^(1/3)*(x^2 - 1)),x)","-\frac{3\,{\left(x^3-x\right)}^{2/3}}{2\,\left(x^2-1\right)}","Not used",1,"-(3*(x^3 - x)^(2/3))/(2*(x^2 - 1))","B"
205,1,20,22,0.151637,"\text{Not used}","int(1/((x^4 - x)^(1/4)*(x^3 - 1)),x)","-\frac{4\,{\left(x^4-x\right)}^{3/4}}{3\,\left(x^3-1\right)}","Not used",1,"-(4*(x^4 - x)^(3/4))/(3*(x^3 - 1))","B"
206,0,-1,22,0.000000,"\text{Not used}","int((b + (a*x^2 + b^2)^(1/2))^(1/2)/(a*x^2 + b^2)^(1/2),x)","\int \frac{\sqrt{b+\sqrt{b^2+a\,x^2}}}{\sqrt{b^2+a\,x^2}} \,d x","Not used",1,"int((b + (a*x^2 + b^2)^(1/2))^(1/2)/(a*x^2 + b^2)^(1/2), x)","F"
207,1,19,23,0.250152,"\text{Not used}","int(1/(x*(x^2 + 1)^(1/4)),x)","\mathrm{atan}\left({\left(x^2+1\right)}^{1/4}\right)-\mathrm{atanh}\left({\left(x^2+1\right)}^{1/4}\right)","Not used",1,"atan((x^2 + 1)^(1/4)) - atanh((x^2 + 1)^(1/4))","B"
208,1,24,23,0.105904,"\text{Not used}","int((2*x - 5)/(x^2 - 4*x + 4)^(1/4),x)","\frac{2\,\left(2\,x-7\right)\,{\left(x^2-4\,x+4\right)}^{3/4}}{3\,\left(x-2\right)}","Not used",1,"(2*(2*x - 7)*(x^2 - 4*x + 4)^(3/4))/(3*(x - 2))","B"
209,1,20,23,0.193709,"\text{Not used}","int(x^5*(x^3 + 1)^(1/3),x)","{\left(x^3+1\right)}^{1/3}\,\left(\frac{x^6}{7}+\frac{x^3}{28}-\frac{3}{28}\right)","Not used",1,"(x^3 + 1)^(1/3)*(x^3/28 + x^6/7 - 3/28)","B"
210,1,19,23,0.175341,"\text{Not used}","int(((x^3 - x)^(1/3)*(3*x^2 + 1))/x^2,x)","\frac{3\,{\left(x^3-x\right)}^{1/3}\,\left(x^2-1\right)}{2\,x}","Not used",1,"(3*(x^3 - x)^(1/3)*(x^2 - 1))/(2*x)","B"
211,1,21,23,0.159185,"\text{Not used}","int(1/((x^3 - x^2)^(1/3)*(x - 1)),x)","-\frac{3\,{\left(x^3-x^2\right)}^{2/3}}{x\,\left(x-1\right)}","Not used",1,"-(3*(x^3 - x^2)^(2/3))/(x*(x - 1))","B"
212,1,29,23,0.141874,"\text{Not used}","int(1/(x^2*(x^2 + x^3)^(1/3)),x)","\frac{9\,x\,{\left(x^3+x^2\right)}^{2/3}-6\,{\left(x^3+x^2\right)}^{2/3}}{10\,x^3}","Not used",1,"(9*x*(x^2 + x^3)^(2/3) - 6*(x^2 + x^3)^(2/3))/(10*x^3)","B"
213,1,14,23,0.165701,"\text{Not used}","int(((x + 2*x^3)^(1/2)*(2*x^2 + 3))/(2*x^2 + 1)^2,x)","\frac{2\,x^2}{\sqrt{2\,x^3+x}}","Not used",1,"(2*x^2)/(x + 2*x^3)^(1/2)","B"
214,1,25,23,0.220229,"\text{Not used}","int(1/(x^6*(x^4 - 1)^(3/4)),x)","\frac{{\left(x^4-1\right)}^{1/4}+4\,x^4\,{\left(x^4-1\right)}^{1/4}}{5\,x^5}","Not used",1,"((x^4 - 1)^(1/4) + 4*x^4*(x^4 - 1)^(1/4))/(5*x^5)","B"
215,1,19,23,0.201801,"\text{Not used}","int(1/(x^4*(x^4 + 1)^(5/4)),x)","-\frac{4\,x^4+1}{3\,x^3\,{\left(x^4+1\right)}^{1/4}}","Not used",1,"-(4*x^4 + 1)/(3*x^3*(x^4 + 1)^(1/4))","B"
216,1,25,23,0.197001,"\text{Not used}","int(1/(x^6*(x^4 + 1)^(3/4)),x)","-\frac{{\left(x^4+1\right)}^{1/4}-4\,x^4\,{\left(x^4+1\right)}^{1/4}}{5\,x^5}","Not used",1,"-((x^4 + 1)^(1/4) - 4*x^4*(x^4 + 1)^(1/4))/(5*x^5)","B"
217,1,25,23,0.075288,"\text{Not used}","int((x^4 - 1)/(x^6*(x^4 + 1)^(3/4)),x)","\frac{{\left(x^4+1\right)}^{1/4}-9\,x^4\,{\left(x^4+1\right)}^{1/4}}{5\,x^5}","Not used",1,"((x^4 + 1)^(1/4) - 9*x^4*(x^4 + 1)^(1/4))/(5*x^5)","B"
218,0,-1,23,0.000000,"\text{Not used}","int(-(x^2 + 1)/((x^2 - 1)*(x^4 + 1)^(1/2)),x)","\int -\frac{x^2+1}{\left(x^2-1\right)\,\sqrt{x^4+1}} \,d x","Not used",1,"int(-(x^2 + 1)/((x^2 - 1)*(x^4 + 1)^(1/2)), x)","F"
219,0,-1,23,0.000000,"\text{Not used}","int((2*x + 2*x^2 - 1)/((x^4 - x)^(1/2)*(2*x + 1)),x)","\int \frac{2\,x^2+2\,x-1}{\sqrt{x^4-x}\,\left(2\,x+1\right)} \,d x","Not used",1,"int((2*x + 2*x^2 - 1)/((x^4 - x)^(1/2)*(2*x + 1)), x)","F"
220,1,19,23,0.157774,"\text{Not used}","int(1/(x^5*(x + x^4)^(1/2)),x)","\frac{2\,\left(2\,x^3-1\right)\,\sqrt{x^4+x}}{9\,x^5}","Not used",1,"(2*(2*x^3 - 1)*(x + x^4)^(1/2))/(9*x^5)","B"
221,1,27,23,0.178562,"\text{Not used}","int((x^3 - 1)/(x^6*(x + x^4)^(1/4)),x)","\frac{12\,{\left(x^4+x\right)}^{3/4}-44\,x^3\,{\left(x^4+x\right)}^{3/4}}{63\,x^6}","Not used",1,"(12*(x + x^4)^(3/4) - 44*x^3*(x + x^4)^(3/4))/(63*x^6)","B"
222,1,27,23,0.165407,"\text{Not used}","int((2*x^3 + 1)/(x^6*(x + x^4)^(1/4)),x)","-\frac{12\,{\left(x^4+x\right)}^{3/4}+40\,x^3\,{\left(x^4+x\right)}^{3/4}}{63\,x^6}","Not used",1,"-(12*(x + x^4)^(3/4) + 40*x^3*(x + x^4)^(3/4))/(63*x^6)","B"
223,1,21,23,0.152518,"\text{Not used}","int((x^2 - 1)/((x^2 + x^4)^(1/3)*(x^2 + 1)),x)","-\frac{3\,{\left(x^4+x^2\right)}^{2/3}}{x\,\left(x^2+1\right)}","Not used",1,"-(3*(x^2 + x^4)^(2/3))/(x*(x^2 + 1))","B"
224,1,21,23,0.122650,"\text{Not used}","int(1/((x^2 + x^4)^(1/4)*(x^2 + 1)),x)","\frac{2\,{\left(x^4+x^2\right)}^{3/4}}{x\,\left(x^2+1\right)}","Not used",1,"(2*(x^2 + x^4)^(3/4))/(x*(x^2 + 1))","B"
225,1,21,23,0.172697,"\text{Not used}","int(1/((x^4 - x^3)^(1/4)*(x - 1)),x)","-\frac{4\,{\left(x^4-x^3\right)}^{3/4}}{x^2\,\left(x-1\right)}","Not used",1,"-(4*(x^4 - x^3)^(3/4))/(x^2*(x - 1))","B"
226,1,29,23,0.131536,"\text{Not used}","int(1/(x*(x^3 + x^4)^(1/2)),x)","\frac{4\,x\,\sqrt{x^4+x^3}-2\,\sqrt{x^4+x^3}}{3\,x^3}","Not used",1,"(4*x*(x^3 + x^4)^(1/2) - 2*(x^3 + x^4)^(1/2))/(3*x^3)","B"
227,1,29,23,0.127534,"\text{Not used}","int(1/(x^2*(x^3 + x^4)^(1/4)),x)","\frac{16\,x\,{\left(x^4+x^3\right)}^{3/4}-12\,{\left(x^4+x^3\right)}^{3/4}}{21\,x^4}","Not used",1,"(16*x*(x^3 + x^4)^(3/4) - 12*(x^3 + x^4)^(3/4))/(21*x^4)","B"
228,0,-1,23,0.000000,"\text{Not used}","int((2*x + 1)/(x^2 + 2*x^3 + x^4 + 3)^(1/2),x)","\int \frac{2\,x+1}{\sqrt{x^4+2\,x^3+x^2+3}} \,d x","Not used",1,"int((2*x + 1)/(x^2 + 2*x^3 + x^4 + 3)^(1/2), x)","F"
229,1,27,23,0.165557,"\text{Not used}","int((2*x^4 - 1)/(x^8*(x^4 - 1)^(1/4)),x)","-\frac{3\,{\left(x^4-1\right)}^{3/4}-10\,x^4\,{\left(x^4-1\right)}^{3/4}}{21\,x^7}","Not used",1,"-(3*(x^4 - 1)^(3/4) - 10*x^4*(x^4 - 1)^(3/4))/(21*x^7)","B"
230,1,19,23,0.070779,"\text{Not used}","int((2*x^4 + 1)/(x^4*(x^4 + 1)^(5/4)),x)","\frac{2\,x^4-1}{3\,x^3\,{\left(x^4+1\right)}^{1/4}}","Not used",1,"(2*x^4 - 1)/(3*x^3*(x^4 + 1)^(1/4))","B"
231,1,19,23,0.189217,"\text{Not used}","int(((4*x^3 + 1)*(2*x + 2*x^4 + 1))/(x + x^4)^(1/2),x)","\frac{2\,\sqrt{x^4+x}\,\left(2\,x^4+2\,x+3\right)}{3}","Not used",1,"(2*(x + x^4)^(1/2)*(2*x + 2*x^4 + 3))/3","B"
232,1,21,23,0.151822,"\text{Not used}","int((x^2 - 1)/((x^3 + x^5)^(1/4)*(x^2 + 1)),x)","-\frac{4\,{\left(x^5+x^3\right)}^{3/4}}{x^2\,\left(x^2+1\right)}","Not used",1,"-(4*(x^3 + x^5)^(3/4))/(x^2*(x^2 + 1))","B"
233,1,25,23,0.286669,"\text{Not used}","int(1/(x^10*(x^6 - 1)^(1/2)),x)","\frac{\sqrt{x^6-1}+2\,x^6\,\sqrt{x^6-1}}{9\,x^9}","Not used",1,"((x^6 - 1)^(1/2) + 2*x^6*(x^6 - 1)^(1/2))/(9*x^9)","B"
234,1,25,23,0.172609,"\text{Not used}","int((x^6 + 1)/(x^10*(x^6 - 1)^(1/2)),x)","\frac{\sqrt{x^6-1}+5\,x^6\,\sqrt{x^6-1}}{9\,x^9}","Not used",1,"((x^6 - 1)^(1/2) + 5*x^6*(x^6 - 1)^(1/2))/(9*x^9)","B"
235,1,21,23,0.161333,"\text{Not used}","int((3*x^4 - 1)/((x^2 + x^6)^(1/3)*(x^4 + 1)),x)","-\frac{3\,{\left(x^6+x^2\right)}^{2/3}}{x\,\left(x^4+1\right)}","Not used",1,"-(3*(x^2 + x^6)^(2/3))/(x*(x^4 + 1))","B"
236,1,21,23,0.132028,"\text{Not used}","int((x^4 - 1)/((x^2 + x^6)^(1/4)*(x^4 + 1)),x)","-\frac{2\,{\left(x^6+x^2\right)}^{3/4}}{x\,\left(x^4+1\right)}","Not used",1,"-(2*(x^2 + x^6)^(3/4))/(x*(x^4 + 1))","B"
237,1,21,23,0.248642,"\text{Not used}","int((x^2*(2*x^2 + 3)*(x^2 + 2*x^6 + 1))/((x^2 + 1)^2*(x^2 + x^6 + 1)^(1/2)),x)","\frac{x^3\,\sqrt{x^6+x^2+1}}{x^2+1}","Not used",1,"(x^3*(x^2 + x^6 + 1)^(1/2))/(x^2 + 1)","B"
238,0,-1,24,0.000000,"\text{Not used}","int(1/(x^2 - 5*x + x^3 + 3)^(1/2),x)","\int \frac{1}{\sqrt{x^3+x^2-5\,x+3}} \,d x","Not used",1,"int(1/(x^2 - 5*x + x^3 + 3)^(1/2), x)","F"
239,1,179,24,0.298015,"\text{Not used}","int((x - 1)/((x + 1)*(x + x^2 + x^3)^(1/2)),x)","\frac{\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\left(\sqrt{3}+1{}\mathrm{i}\right)\,\left(\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)-2\,\Pi \left(\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)\right)\,1{}\mathrm{i}}{\sqrt{x^3+x^2-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,x}}","Not used",1,"((x/((3^(1/2)*1i)/2 - 1/2))^(1/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 1/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 1/2))^(1/2)*(3^(1/2) + 1i)*(ellipticF(asin((x/((3^(1/2)*1i)/2 - 1/2))^(1/2)), -((3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 + 1/2)) - 2*ellipticPi(1/2 - (3^(1/2)*1i)/2, asin((x/((3^(1/2)*1i)/2 - 1/2))^(1/2)), -((3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 + 1/2)))*1i)/(x^2 + x^3 - x*((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2)","B"
240,1,223,24,0.151127,"\text{Not used}","int((x^2 - 1)/((x^2 + 1)*(x + x^2 + x^3)^(1/2)),x)","-\frac{\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\left(\sqrt{3}+1{}\mathrm{i}\right)\,\left(-\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)+\Pi \left(-\frac{\sqrt{3}}{2}-\frac{1}{2}{}\mathrm{i};\mathrm{asin}\left(\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)+\Pi \left(\frac{\sqrt{3}}{2}+\frac{1}{2}{}\mathrm{i};\mathrm{asin}\left(\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)\right)\,1{}\mathrm{i}}{\sqrt{x^3+x^2-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,x}}","Not used",1,"-((x/((3^(1/2)*1i)/2 - 1/2))^(1/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 1/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 1/2))^(1/2)*(3^(1/2) + 1i)*(ellipticPi(- 3^(1/2)/2 - 1i/2, asin((x/((3^(1/2)*1i)/2 - 1/2))^(1/2)), -((3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 + 1/2)) - ellipticF(asin((x/((3^(1/2)*1i)/2 - 1/2))^(1/2)), -((3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 + 1/2)) + ellipticPi(3^(1/2)/2 + 1i/2, asin((x/((3^(1/2)*1i)/2 - 1/2))^(1/2)), -((3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 + 1/2)))*1i)/(x^2 + x^3 - x*((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2)","B"
241,0,-1,24,0.000000,"\text{Not used}","int((x^2 - 1)/((x^2 + 1)*(x^4 + 1)^(1/2)),x)","\int \frac{x^2-1}{\left(x^2+1\right)\,\sqrt{x^4+1}} \,d x","Not used",1,"int((x^2 - 1)/((x^2 + 1)*(x^4 + 1)^(1/2)), x)","F"
242,0,-1,24,0.000000,"\text{Not used}","int((x^2 + 1)/((x^2 - 1)*(x^4 + 1)^(1/2)),x)","\int \frac{x^2+1}{\left(x^2-1\right)\,\sqrt{x^4+1}} \,d x","Not used",1,"int((x^2 + 1)/((x^2 - 1)*(x^4 + 1)^(1/2)), x)","F"
243,1,44,24,0.753165,"\text{Not used}","int(-(3*x^5 - 2)/((x^5 + 1)^(1/2)*(x^5 - a*x^2 + 1)),x)","\frac{\ln\left(\frac{a\,x^2+x^5+2\,\sqrt{a}\,x\,\sqrt{x^5+1}+1}{4\,x^5-4\,a\,x^2+4}\right)}{\sqrt{a}}","Not used",1,"log((a*x^2 + x^5 + 2*a^(1/2)*x*(x^5 + 1)^(1/2) + 1)/(4*x^5 - 4*a*x^2 + 4))/a^(1/2)","B"
244,1,44,24,0.747950,"\text{Not used}","int(-(3*x^5 + 2)/((x^5 - 1)^(1/2)*(a*x^2 - x^5 + 1)),x)","\frac{\ln\left(\frac{a\,x^2+x^5-2\,\sqrt{a}\,x\,\sqrt{x^5-1}-1}{-4\,x^5+4\,a\,x^2+4}\right)}{\sqrt{a}}","Not used",1,"log((a*x^2 + x^5 - 2*a^(1/2)*x*(x^5 - 1)^(1/2) - 1)/(4*a*x^2 - 4*x^5 + 4))/a^(1/2)","B"
245,1,52,24,0.856121,"\text{Not used}","int(-(3*x^5 + 2)/((x^5 - 1)^(1/2)*(a - a*x^5 + x^2)),x)","\frac{\ln\left(\frac{a^4\,\left(x^5-1\right)+a^3\,x^2-2\,a^{7/2}\,x\,\sqrt{x^5-1}}{4\,x^2-4\,a\,\left(x^5-1\right)}\right)}{\sqrt{a}}","Not used",1,"log((a^4*(x^5 - 1) + a^3*x^2 - 2*a^(7/2)*x*(x^5 - 1)^(1/2))/(4*x^2 - 4*a*(x^5 - 1)))/a^(1/2)","B"
246,1,46,24,0.807186,"\text{Not used}","int((3*x^5 - 2)/((x^5 + 1)^(1/2)*(a + a*x^5 - x^2)),x)","\frac{\ln\left(\frac{a+a\,x^5+x^2-2\,\sqrt{a}\,x\,\sqrt{x^5+1}}{4\,a\,x^5-4\,x^2+4\,a}\right)}{\sqrt{a}}","Not used",1,"log((a + a*x^5 + x^2 - 2*a^(1/2)*x*(x^5 + 1)^(1/2))/(4*a + 4*a*x^5 - 4*x^2))/a^(1/2)","B"
247,1,22,24,0.082568,"\text{Not used}","int(-(2*x^2 - 2*x^4 + 1)/((x^6 + 1)^(1/2)*(x^4 - x^2 + 1)),x)","-\frac{x\,\sqrt{x^6+1}}{x^4-x^2+1}","Not used",1,"-(x*(x^6 + 1)^(1/2))/(x^4 - x^2 + 1)","B"
248,0,-1,24,0.000000,"\text{Not used}","int((4*x^5 - 1)/((x + x^6)^(1/2)*(x^5 - a*x + 1)),x)","\int \frac{4\,x^5-1}{\sqrt{x^6+x}\,\left(x^5-a\,x+1\right)} \,d x","Not used",1,"int((4*x^5 - 1)/((x + x^6)^(1/2)*(x^5 - a*x + 1)), x)","F"
249,0,-1,24,0.000000,"\text{Not used}","int((4*x^5 - 1)/((x + x^6)^(1/2)*(a - x + a*x^5)),x)","\int \frac{4\,x^5-1}{\sqrt{x^6+x}\,\left(a\,x^5-x+a\right)} \,d x","Not used",1,"int((4*x^5 - 1)/((x + x^6)^(1/2)*(a - x + a*x^5)), x)","F"
250,1,21,25,0.210947,"\text{Not used}","int(x^3*(x^2 - 1)^(2/3),x)","-{\left(x^2-1\right)}^{2/3}\,\left(-\frac{3\,x^4}{16}+\frac{3\,x^2}{40}+\frac{9}{80}\right)","Not used",1,"-(x^2 - 1)^(2/3)*((3*x^2)/40 - (3*x^4)/16 + 9/80)","B"
251,1,21,25,0.194796,"\text{Not used}","int(x^3*(x^2 - 1)^(3/4),x)","-{\left(x^2-1\right)}^{3/4}\,\left(-\frac{2\,x^4}{11}+\frac{6\,x^2}{77}+\frac{8}{77}\right)","Not used",1,"-(x^2 - 1)^(3/4)*((6*x^2)/77 - (2*x^4)/11 + 8/77)","B"
252,1,21,25,0.226007,"\text{Not used}","int(1/(x*(x^2 + 1)^(3/4)),x)","-\mathrm{atan}\left({\left(x^2+1\right)}^{1/4}\right)-\mathrm{atanh}\left({\left(x^2+1\right)}^{1/4}\right)","Not used",1,"- atan((x^2 + 1)^(1/4)) - atanh((x^2 + 1)^(1/4))","B"
253,1,20,25,0.191567,"\text{Not used}","int(x^3*(x^2 + 1)^(3/4),x)","{\left(x^2+1\right)}^{3/4}\,\left(\frac{2\,x^4}{11}+\frac{6\,x^2}{77}-\frac{8}{77}\right)","Not used",1,"(x^2 + 1)^(3/4)*((6*x^2)/77 + (2*x^4)/11 - 8/77)","B"
254,1,21,25,0.202129,"\text{Not used}","int(x^5*(x^3 - 1)^(1/3),x)","-{\left(x^3-1\right)}^{1/3}\,\left(-\frac{x^6}{7}+\frac{x^3}{28}+\frac{3}{28}\right)","Not used",1,"-(x^3 - 1)^(1/3)*(x^3/28 - x^6/7 + 3/28)","B"
255,1,21,25,0.199913,"\text{Not used}","int(x^5*(x^3 - 1)^(3/4),x)","-{\left(x^3-1\right)}^{3/4}\,\left(-\frac{4\,x^6}{33}+\frac{4\,x^3}{77}+\frac{16}{231}\right)","Not used",1,"-(x^3 - 1)^(3/4)*((4*x^3)/77 - (4*x^6)/33 + 16/231)","B"
256,1,20,25,0.228079,"\text{Not used}","int(x^8/(x^3 + 1)^(1/4),x)","{\left(x^3+1\right)}^{3/4}\,\left(\frac{4\,x^6}{33}-\frac{32\,x^3}{231}+\frac{128}{693}\right)","Not used",1,"(x^3 + 1)^(3/4)*((4*x^6)/33 - (32*x^3)/231 + 128/693)","B"
257,1,20,25,0.186227,"\text{Not used}","int(x^5*(x^3 + 1)^(2/3),x)","{\left(x^3+1\right)}^{2/3}\,\left(\frac{x^6}{8}+\frac{x^3}{20}-\frac{3}{40}\right)","Not used",1,"(x^3 + 1)^(2/3)*(x^3/20 + x^6/8 - 3/40)","B"
258,1,33,25,0.162966,"\text{Not used}","int(1/(x^2*(x^3 - x^2)^(1/3)),x)","\frac{9\,x\,{\left(x^3-x^2\right)}^{2/3}+6\,{\left(x^3-x^2\right)}^{2/3}}{10\,x^3}","Not used",1,"(9*x*(x^3 - x^2)^(2/3) + 6*(x^3 - x^2)^(2/3))/(10*x^3)","B"
259,1,20,25,0.215640,"\text{Not used}","int(x^7*(x^4 + 1)^(2/3),x)","{\left(x^4+1\right)}^{2/3}\,\left(\frac{3\,x^8}{32}+\frac{3\,x^4}{80}-\frac{9}{160}\right)","Not used",1,"(x^4 + 1)^(2/3)*((3*x^4)/80 + (3*x^8)/32 - 9/160)","B"
260,1,21,25,0.189794,"\text{Not used}","int(1/(x^5*(x^4 - x)^(1/2)),x)","\frac{2\,\sqrt{x^4-x}\,\left(2\,x^3+1\right)}{9\,x^5}","Not used",1,"(2*(x^4 - x)^(1/2)*(2*x^3 + 1))/(9*x^5)","B"
261,1,31,25,0.207946,"\text{Not used}","int((x^3 + 1)/(x^6*(x^4 - x)^(1/4)),x)","\frac{12\,{\left(x^4-x\right)}^{3/4}+44\,x^3\,{\left(x^4-x\right)}^{3/4}}{63\,x^6}","Not used",1,"(12*(x^4 - x)^(3/4) + 44*x^3*(x^4 - x)^(3/4))/(63*x^6)","B"
262,1,23,25,0.192633,"\text{Not used}","int((x^2 + 1)/((x^2 - 1)*(x^4 - x^2)^(1/3)),x)","-\frac{3\,{\left(x^4-x^2\right)}^{2/3}}{x\,\left(x^2-1\right)}","Not used",1,"-(3*(x^4 - x^2)^(2/3))/(x*(x^2 - 1))","B"
263,1,23,25,0.156694,"\text{Not used}","int(1/((x^2 - 1)*(x^4 - x^2)^(1/4)),x)","-\frac{2\,{\left(x^4-x^2\right)}^{3/4}}{x\,\left(x^2-1\right)}","Not used",1,"-(2*(x^4 - x^2)^(3/4))/(x*(x^2 - 1))","B"
264,1,31,25,0.176458,"\text{Not used}","int(1/(x^4*(x^2 + x^4)^(1/4)),x)","-\frac{6\,{\left(x^4+x^2\right)}^{3/4}-8\,x^2\,{\left(x^4+x^2\right)}^{3/4}}{21\,x^5}","Not used",1,"-(6*(x^2 + x^4)^(3/4) - 8*x^2*(x^2 + x^4)^(3/4))/(21*x^5)","B"
265,0,-1,25,0.000000,"\text{Not used}","int((2*x - 1)/(x^2 - 2*x^3 + x^4 - 3)^(1/2),x)","\int \frac{2\,x-1}{\sqrt{x^4-2\,x^3+x^2-3}} \,d x","Not used",1,"int((2*x - 1)/(x^2 - 2*x^3 + x^4 - 3)^(1/2), x)","F"
266,0,-1,25,0.000000,"\text{Not used}","int((2*x - 1)/(x^2 - 2*x^3 + x^4 + 4)^(1/2),x)","\int \frac{2\,x-1}{\sqrt{x^4-2\,x^3+x^2+4}} \,d x","Not used",1,"int((2*x - 1)/(x^2 - 2*x^3 + x^4 + 4)^(1/2), x)","F"
267,0,-1,25,0.000000,"\text{Not used}","int((2*x - 1)/(x^2 - 2*x^3 + x^4 + 13)^(1/2),x)","\int \frac{2\,x-1}{\sqrt{x^4-2\,x^3+x^2+13}} \,d x","Not used",1,"int((2*x - 1)/(x^2 - 2*x^3 + x^4 + 13)^(1/2), x)","F"
268,1,33,25,0.161987,"\text{Not used}","int(1/(x^2*(x^4 - x^3)^(1/4)),x)","\frac{16\,x\,{\left(x^4-x^3\right)}^{3/4}+12\,{\left(x^4-x^3\right)}^{3/4}}{21\,x^4}","Not used",1,"(16*x*(x^4 - x^3)^(3/4) + 12*(x^4 - x^3)^(3/4))/(21*x^4)","B"
269,1,30,25,0.200562,"\text{Not used}","int((x^4 - 1)/(x^8*(2*x^4 - 1)^(1/4)),x)","-\frac{x^4\,{\left(2\,x^4-1\right)}^{3/4}+3\,{\left(2\,x^4-1\right)}^{3/4}}{21\,x^7}","Not used",1,"-(x^4*(2*x^4 - 1)^(3/4) + 3*(2*x^4 - 1)^(3/4))/(21*x^7)","B"
270,1,23,25,0.193047,"\text{Not used}","int((x^2 + 1)/((x^2 - 1)*(x^5 - x^3)^(1/4)),x)","-\frac{4\,{\left(x^5-x^3\right)}^{3/4}}{x^2\,\left(x^2-1\right)}","Not used",1,"-(4*(x^5 - x^3)^(3/4))/(x^2*(x^2 - 1))","B"
271,1,23,25,0.208344,"\text{Not used}","int((3*x^4 + 1)/((x^4 - 1)*(x^6 - x^2)^(1/3)),x)","-\frac{3\,{\left(x^6-x^2\right)}^{2/3}}{x\,\left(x^4-1\right)}","Not used",1,"-(3*(x^6 - x^2)^(2/3))/(x*(x^4 - 1))","B"
272,1,23,25,0.168182,"\text{Not used}","int((x^4 + 1)/((x^4 - 1)*(x^6 - x^2)^(1/4)),x)","-\frac{2\,{\left(x^6-x^2\right)}^{3/4}}{x\,\left(x^4-1\right)}","Not used",1,"-(2*(x^6 - x^2)^(3/4))/(x*(x^4 - 1))","B"
273,1,31,25,0.206616,"\text{Not used}","int(1/(x^7*(x^2 + x^6)^(1/3)),x)","-\frac{6\,{\left(x^6+x^2\right)}^{2/3}-9\,x^4\,{\left(x^6+x^2\right)}^{2/3}}{40\,x^8}","Not used",1,"-(6*(x^2 + x^6)^(2/3) - 9*x^4*(x^2 + x^6)^(2/3))/(40*x^8)","B"
274,1,38,26,0.246486,"\text{Not used}","int((x^3 - 1)^(1/3)/x^8,x)","\frac{x^3\,{\left(x^3-1\right)}^{1/3}-4\,{\left(x^3-1\right)}^{1/3}+3\,x^6\,{\left(x^3-1\right)}^{1/3}}{28\,x^7}","Not used",1,"(x^3*(x^3 - 1)^(1/3) - 4*(x^3 - 1)^(1/3) + 3*x^6*(x^3 - 1)^(1/3))/(28*x^7)","B"
275,1,24,26,0.235785,"\text{Not used}","int(-(b + a*x^2)/((a*x^3 - b*x)^(1/2)*(b - a*x^2)),x)","\frac{2\,\sqrt{a\,x^3-b\,x}}{b-a\,x^2}","Not used",1,"(2*(a*x^3 - b*x)^(1/2))/(b - a*x^2)","B"
276,1,40,26,1.109341,"\text{Not used}","int(-(2*b - a*x^3)/((b + a*x^3)^(1/2)*(b + a*x^3 - c*x^2)),x)","\frac{\ln\left(\frac{\sqrt{c}\,x-\sqrt{a\,x^3+b}}{\sqrt{c}\,x+\sqrt{a\,x^3+b}}\right)}{\sqrt{c}}","Not used",1,"log((c^(1/2)*x - (b + a*x^3)^(1/2))/(c^(1/2)*x + (b + a*x^3)^(1/2)))/c^(1/2)","B"
277,1,51,26,3.382547,"\text{Not used}","int(-(2*b - a*x^3)/((b + a*x^3)^(1/2)*(b + a*x^3 + c*x^2)),x)","\frac{\ln\left(\frac{b+a\,x^3-c\,x^2+\sqrt{c}\,x\,\sqrt{a\,x^3+b}\,2{}\mathrm{i}}{a\,x^3+c\,x^2+b}\right)\,1{}\mathrm{i}}{\sqrt{c}}","Not used",1,"(log((b + a*x^3 - c*x^2 + c^(1/2)*x*(b + a*x^3)^(1/2)*2i)/(b + a*x^3 + c*x^2))*1i)/c^(1/2)","B"
278,0,-1,26,0.000000,"\text{Not used}","int((x^2 + 1)/((x^2 - 1)*(x^2 + 2)*(x^4 - 3)^(1/2)),x)","\int \frac{x^2+1}{\left(x^2-1\right)\,\left(x^2+2\right)\,\sqrt{x^4-3}} \,d x","Not used",1,"int((x^2 + 1)/((x^2 - 1)*(x^2 + 2)*(x^4 - 3)^(1/2)), x)","F"
279,1,38,26,0.314895,"\text{Not used}","int(((x^4 + 1)^(3/4)*(x^4 - 4))/x^12,x)","\frac{28\,{\left(x^4+1\right)}^{3/4}+x^4\,{\left(x^4+1\right)}^{3/4}-27\,x^8\,{\left(x^4+1\right)}^{3/4}}{77\,x^{11}}","Not used",1,"(28*(x^4 + 1)^(3/4) + x^4*(x^4 + 1)^(3/4) - 27*x^8*(x^4 + 1)^(3/4))/(77*x^11)","B"
280,0,-1,26,0.000000,"\text{Not used}","int(((x^4 - 1)^(1/2)*(x^4 + 1))/(x^2*(x^2 + x^4 - 1)),x)","\int \frac{\sqrt{x^4-1}\,\left(x^4+1\right)}{x^2\,\left(x^4+x^2-1\right)} \,d x","Not used",1,"int(((x^4 - 1)^(1/2)*(x^4 + 1))/(x^2*(x^2 + x^4 - 1)), x)","F"
281,1,25,26,0.241442,"\text{Not used}","int(((x^4 - 1)*(x^2 + x^4 + 1))/(x^4*(x^4 + 1)^(1/2)),x)","\frac{{\left(x^4+1\right)}^{3/2}+3\,x^2\,\sqrt{x^4+1}}{3\,x^3}","Not used",1,"((x^4 + 1)^(3/2) + 3*x^2*(x^4 + 1)^(1/2))/(3*x^3)","B"
282,1,39,26,0.243470,"\text{Not used}","int(((x^3 - 4)*(x^3 + x^4 - 1))/(x^6*(x^3 - 1)^(3/4)),x)","-\frac{4\,x^3\,{\left(x^3-1\right)}^{1/4}-4\,{\left(x^3-1\right)}^{1/4}+20\,x^4\,{\left(x^3-1\right)}^{1/4}}{5\,x^5}","Not used",1,"-(4*x^3*(x^3 - 1)^(1/4) - 4*(x^3 - 1)^(1/4) + 20*x^4*(x^3 - 1)^(1/4))/(5*x^5)","B"
283,1,40,26,0.457786,"\text{Not used}","int(-(3*x^4 + 1)/((x^5 - x)^(1/2)*(a*x - x^4 + 1)),x)","\frac{\ln\left(\frac{a\,x-2\,\sqrt{a}\,\sqrt{x^5-x}+x^4-1}{-x^4+a\,x+1}\right)}{\sqrt{a}}","Not used",1,"log((a*x - 2*a^(1/2)*(x^5 - x)^(1/2) + x^4 - 1)/(a*x - x^4 + 1))/a^(1/2)","B"
284,1,42,26,0.441686,"\text{Not used}","int(-(3*x^4 + 1)/((x^5 - x)^(1/2)*(a + x - a*x^4)),x)","\frac{\ln\left(\frac{a-x+2\,\sqrt{a}\,\sqrt{x^5-x}-a\,x^4}{-a\,x^4+x+a}\right)}{\sqrt{a}}","Not used",1,"log((a - x + 2*a^(1/2)*(x^5 - x)^(1/2) - a*x^4)/(a + x - a*x^4))/a^(1/2)","B"
285,1,27,26,0.282622,"\text{Not used}","int(((x^5 + 4)*(x^4 + x^5 - 1))/(x^6*(x^5 - 1)^(3/4)),x)","\frac{4\,{\left(x^5-1\right)}^{5/4}+20\,x^4\,{\left(x^5-1\right)}^{1/4}}{5\,x^5}","Not used",1,"(4*(x^5 - 1)^(5/4) + 20*x^4*(x^5 - 1)^(1/4))/(5*x^5)","B"
286,1,27,26,0.175624,"\text{Not used}","int(((x^5 - 4)*(x^4 + x^5 + 1))/(x^6*(x^5 + 1)^(3/4)),x)","\frac{4\,{\left(x^5+1\right)}^{5/4}+20\,x^4\,{\left(x^5+1\right)}^{1/4}}{5\,x^5}","Not used",1,"(4*(x^5 + 1)^(5/4) + 20*x^4*(x^5 + 1)^(1/4))/(5*x^5)","B"
287,1,24,26,0.385451,"\text{Not used}","int((x^6 - 1)^(1/2)/x^16,x)","\frac{5\,{\left(x^6-1\right)}^{3/2}+2\,{\left(x^6-1\right)}^{5/2}}{45\,x^{15}}","Not used",1,"(5*(x^6 - 1)^(3/2) + 2*(x^6 - 1)^(5/2))/(45*x^15)","B"
288,0,-1,26,0.000000,"\text{Not used}","int(-(2*x^2 - 2*x^4 + 1)/((x^6 + 1)^(1/2)*(2*x^4 + 1)),x)","\int -\frac{-2\,x^4+2\,x^2+1}{\sqrt{x^6+1}\,\left(2\,x^4+1\right)} \,d x","Not used",1,"int(-(2*x^2 - 2*x^4 + 1)/((x^6 + 1)^(1/2)*(2*x^4 + 1)), x)","F"
289,0,-1,26,0.000000,"\text{Not used}","int(-(4*x^5 + 1)/((x^6 - x)^(1/2)*(a*x - x^5 + 1)),x)","\int -\frac{4\,x^5+1}{\sqrt{x^6-x}\,\left(-x^5+a\,x+1\right)} \,d x","Not used",1,"int(-(4*x^5 + 1)/((x^6 - x)^(1/2)*(a*x - x^5 + 1)), x)","F"
290,0,-1,26,0.000000,"\text{Not used}","int(-(4*x^5 + 1)/((x^6 - x)^(1/2)*(a + x - a*x^5)),x)","\int -\frac{4\,x^5+1}{\sqrt{x^6-x}\,\left(-a\,x^5+x+a\right)} \,d x","Not used",1,"int(-(4*x^5 + 1)/((x^6 - x)^(1/2)*(a + x - a*x^5)), x)","F"
291,1,27,26,0.304844,"\text{Not used}","int(-((x^6 + 2)*(x^4 - x^6 + 1))/(x^6*(x^6 - 1)^(3/4)),x)","\frac{2\,{\left(x^6-1\right)}^{5/4}-10\,x^4\,{\left(x^6-1\right)}^{1/4}}{5\,x^5}","Not used",1,"(2*(x^6 - 1)^(5/4) - 10*x^4*(x^6 - 1)^(1/4))/(5*x^5)","B"
292,1,27,26,0.295615,"\text{Not used}","int(((x^6 - 2)*(x^6 - x^4 + 1))/(x^6*(x^6 + 1)^(3/4)),x)","\frac{2\,{\left(x^6+1\right)}^{5/4}-10\,x^4\,{\left(x^6+1\right)}^{1/4}}{5\,x^5}","Not used",1,"(2*(x^6 + 1)^(5/4) - 10*x^4*(x^6 + 1)^(1/4))/(5*x^5)","B"
293,0,-1,26,0.000000,"\text{Not used}","int(((x^6 - 1)^(1/2)*(2*x^6 + 1))/(x^2*(x^2 + x^6 - 1)),x)","\int \frac{\sqrt{x^6-1}\,\left(2\,x^6+1\right)}{x^2\,\left(x^6+x^2-1\right)} \,d x","Not used",1,"int(((x^6 - 1)^(1/2)*(2*x^6 + 1))/(x^2*(x^2 + x^6 - 1)), x)","F"
294,1,147,26,1.519692,"\text{Not used}","int(-((2*x^5 + 8*x^7 - 3)*(x^3 - x^5 - 2*x^7 - 1)^(5/3))/x^9,x)","\frac{3\,{\left(-2\,x^7-x^5+x^3-1\right)}^{2/3}}{2\,x}+\frac{3\,{\left(-2\,x^7-x^5+x^3-1\right)}^{2/3}}{8\,x^2}+\frac{3\,{\left(-2\,x^7-x^5+x^3-1\right)}^{2/3}}{4\,x^3}-\frac{3\,{\left(-2\,x^7-x^5+x^3-1\right)}^{2/3}}{4\,x^5}+\frac{3\,{\left(-2\,x^7-x^5+x^3-1\right)}^{2/3}}{8\,x^8}-\left(-\frac{3\,x^6}{2}-\frac{3\,x^4}{2}+\frac{9\,x^2}{8}+\frac{3}{4}\right)\,{\left(-2\,x^7-x^5+x^3-1\right)}^{2/3}","Not used",1,"(3*(x^3 - x^5 - 2*x^7 - 1)^(2/3))/(2*x) + (3*(x^3 - x^5 - 2*x^7 - 1)^(2/3))/(8*x^2) + (3*(x^3 - x^5 - 2*x^7 - 1)^(2/3))/(4*x^3) - (3*(x^3 - x^5 - 2*x^7 - 1)^(2/3))/(4*x^5) + (3*(x^3 - x^5 - 2*x^7 - 1)^(2/3))/(8*x^8) - ((9*x^2)/8 - (3*x^4)/2 - (3*x^6)/2 + 3/4)*(x^3 - x^5 - 2*x^7 - 1)^(2/3)","B"
295,0,-1,26,0.000000,"\text{Not used}","int(-(x^4*(4*x^5 + 9))/((x + x^6)^(1/2)*(a + a*x^5 - x^9)),x)","\int -\frac{x^4\,\left(4\,x^5+9\right)}{\sqrt{x^6+x}\,\left(-x^9+a\,x^5+a\right)} \,d x","Not used",1,"int(-(x^4*(4*x^5 + 9))/((x + x^6)^(1/2)*(a + a*x^5 - x^9)), x)","F"
296,1,46,26,0.932133,"\text{Not used}","int(-(x^4*(5*x^4 + 9))/((x + x^5)^(1/2)*(x^4 - a*x^9 + 1)),x)","\frac{\ln\left(\frac{a\,x^9+x^4-2\,\sqrt{a}\,x^4\,\sqrt{x^5+x}+1}{-4\,a\,x^9+4\,x^4+4}\right)}{\sqrt{a}}","Not used",1,"log((a*x^9 + x^4 - 2*a^(1/2)*x^4*(x + x^5)^(1/2) + 1)/(4*x^4 - 4*a*x^9 + 4))/a^(1/2)","B"
297,0,-1,26,0.000000,"\text{Not used}","int(-(x^4*(4*x^5 + 9))/((x + x^6)^(1/2)*(x^5 - a*x^9 + 1)),x)","\int -\frac{x^4\,\left(4\,x^5+9\right)}{\sqrt{x^6+x}\,\left(-a\,x^9+x^5+1\right)} \,d x","Not used",1,"int(-(x^4*(4*x^5 + 9))/((x + x^6)^(1/2)*(x^5 - a*x^9 + 1)), x)","F"
298,1,34,27,0.149945,"\text{Not used}","int(x^5*(1 - 2*x^3)^(1/2),x)","-\frac{\frac{5\,{\left(2\,x^3-1\right)}^2}{2}+\frac{3\,{\left(2\,x^3-1\right)}^3}{2}}{45\,\sqrt{1-2\,x^3}}","Not used",1,"-((5*(2*x^3 - 1)^2)/2 + (3*(2*x^3 - 1)^3)/2)/(45*(1 - 2*x^3)^(1/2))","B"
299,1,1872,27,1.367086,"\text{Not used}","int((x + 2)/((x - 1)*(3*x + x^3 - 1)^(1/2)),x)","\frac{2\,\sqrt{-\frac{x+\frac{1}{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}-{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}{\frac{3\,{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}{2}-\frac{3}{2\,{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+\frac{\sqrt{3}\,\left(\frac{1}{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}}}\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{x-\frac{1}{2\,{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+\frac{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}{2}+\frac{\sqrt{3}\,\left(\frac{1}{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}}{\frac{3\,{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}{2}-\frac{3}{2\,{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+\frac{\sqrt{3}\,\left(\frac{1}{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\sqrt{3}\,\left(\frac{3\,{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}{2}-\frac{3}{2\,{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+\frac{\sqrt{3}\,\left(\frac{1}{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)\,1{}\mathrm{i}}{3\,\left(\frac{1}{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}\right)}\right)\,\sqrt{\frac{x-\frac{1}{2\,{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+\frac{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}{2}+\frac{\sqrt{3}\,\left(\frac{1}{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}}{\frac{3\,{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}{2}-\frac{3}{2\,{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+\frac{\sqrt{3}\,\left(\frac{1}{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}}}\,\left(\frac{3\,{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}{2}-\frac{3}{2\,{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+\frac{\sqrt{3}\,\left(\frac{1}{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{\sqrt{3}\,\left(x-\frac{1}{2\,{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+\frac{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}{2}-\frac{\sqrt{3}\,\left(\frac{1}{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)\,1{}\mathrm{i}}{3\,\left(\frac{1}{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}\right)}}}{\sqrt{x^3+\left(\left(\frac{1}{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}-{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}\right)\,\left(\frac{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}{2}-\frac{1}{2\,{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+\frac{\sqrt{3}\,\left(\frac{1}{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)-\left(\frac{1}{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}-{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}\right)\,\left(\frac{1}{2\,{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}-\frac{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}{2}+\frac{\sqrt{3}\,\left(\frac{1}{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)-\left(\frac{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}{2}-\frac{1}{2\,{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+\frac{\sqrt{3}\,\left(\frac{1}{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2\,{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}-\frac{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}{2}+\frac{\sqrt{3}\,\left(\frac{1}{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)\right)\,x-\left(\frac{1}{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}-{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}\right)\,\left(\frac{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}{2}-\frac{1}{2\,{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+\frac{\sqrt{3}\,\left(\frac{1}{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2\,{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}-\frac{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}{2}+\frac{\sqrt{3}\,\left(\frac{1}{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)}}-\frac{6\,\sqrt{-\frac{x+\frac{1}{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}-{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}{\frac{3\,{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}{2}-\frac{3}{2\,{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+\frac{\sqrt{3}\,\left(\frac{1}{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x-\frac{1}{2\,{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+\frac{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}{2}+\frac{\sqrt{3}\,\left(\frac{1}{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}}{\frac{3\,{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}{2}-\frac{3}{2\,{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+\frac{\sqrt{3}\,\left(\frac{1}{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}}}\,\left(\frac{3\,{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}{2}-\frac{3}{2\,{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+\frac{\sqrt{3}\,\left(\frac{1}{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)\,\Pi \left(\frac{\frac{3\,{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}{2}-\frac{3}{2\,{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+\frac{\sqrt{3}\,\left(\frac{1}{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}}{\frac{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}{2}-\frac{1}{2\,{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+1+\frac{\sqrt{3}\,\left(\frac{1}{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}};\mathrm{asin}\left(\sqrt{\frac{x-\frac{1}{2\,{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+\frac{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}{2}+\frac{\sqrt{3}\,\left(\frac{1}{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}}{\frac{3\,{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}{2}-\frac{3}{2\,{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+\frac{\sqrt{3}\,\left(\frac{1}{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\sqrt{3}\,\left(\frac{3\,{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}{2}-\frac{3}{2\,{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+\frac{\sqrt{3}\,\left(\frac{1}{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)\,1{}\mathrm{i}}{3\,\left(\frac{1}{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}\right)}\right)\,\sqrt{\frac{\sqrt{3}\,\left(x-\frac{1}{2\,{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+\frac{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}{2}-\frac{\sqrt{3}\,\left(\frac{1}{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)\,1{}\mathrm{i}}{3\,\left(\frac{1}{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}\right)}}}{\sqrt{x^3+\left(\left(\frac{1}{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}-{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}\right)\,\left(\frac{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}{2}-\frac{1}{2\,{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+\frac{\sqrt{3}\,\left(\frac{1}{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)-\left(\frac{1}{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}-{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}\right)\,\left(\frac{1}{2\,{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}-\frac{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}{2}+\frac{\sqrt{3}\,\left(\frac{1}{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)-\left(\frac{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}{2}-\frac{1}{2\,{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+\frac{\sqrt{3}\,\left(\frac{1}{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2\,{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}-\frac{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}{2}+\frac{\sqrt{3}\,\left(\frac{1}{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)\right)\,x-\left(\frac{1}{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}-{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}\right)\,\left(\frac{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}{2}-\frac{1}{2\,{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+\frac{\sqrt{3}\,\left(\frac{1}{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2\,{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}-\frac{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}{2}+\frac{\sqrt{3}\,\left(\frac{1}{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)}\,\left(\frac{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}{2}-\frac{1}{2\,{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+1+\frac{\sqrt{3}\,\left(\frac{1}{{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}}+{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)}","Not used",1,"(2*(-(x + 1/(5^(1/2)/2 + 1/2)^(1/3) - (5^(1/2)/2 + 1/2)^(1/3))/((3^(1/2)*(1/(5^(1/2)/2 + 1/2)^(1/3) + (5^(1/2)/2 + 1/2)^(1/3))*1i)/2 - 3/(2*(5^(1/2)/2 + 1/2)^(1/3)) + (3*(5^(1/2)/2 + 1/2)^(1/3))/2))^(1/2)*ellipticF(asin(((x + (3^(1/2)*(1/(5^(1/2)/2 + 1/2)^(1/3) + (5^(1/2)/2 + 1/2)^(1/3))*1i)/2 - 1/(2*(5^(1/2)/2 + 1/2)^(1/3)) + (5^(1/2)/2 + 1/2)^(1/3)/2)/((3^(1/2)*(1/(5^(1/2)/2 + 1/2)^(1/3) + (5^(1/2)/2 + 1/2)^(1/3))*1i)/2 - 3/(2*(5^(1/2)/2 + 1/2)^(1/3)) + (3*(5^(1/2)/2 + 1/2)^(1/3))/2))^(1/2)), -(3^(1/2)*((3^(1/2)*(1/(5^(1/2)/2 + 1/2)^(1/3) + (5^(1/2)/2 + 1/2)^(1/3))*1i)/2 - 3/(2*(5^(1/2)/2 + 1/2)^(1/3)) + (3*(5^(1/2)/2 + 1/2)^(1/3))/2)*1i)/(3*(1/(5^(1/2)/2 + 1/2)^(1/3) + (5^(1/2)/2 + 1/2)^(1/3))))*((x + (3^(1/2)*(1/(5^(1/2)/2 + 1/2)^(1/3) + (5^(1/2)/2 + 1/2)^(1/3))*1i)/2 - 1/(2*(5^(1/2)/2 + 1/2)^(1/3)) + (5^(1/2)/2 + 1/2)^(1/3)/2)/((3^(1/2)*(1/(5^(1/2)/2 + 1/2)^(1/3) + (5^(1/2)/2 + 1/2)^(1/3))*1i)/2 - 3/(2*(5^(1/2)/2 + 1/2)^(1/3)) + (3*(5^(1/2)/2 + 1/2)^(1/3))/2))^(1/2)*((3^(1/2)*(1/(5^(1/2)/2 + 1/2)^(1/3) + (5^(1/2)/2 + 1/2)^(1/3))*1i)/2 - 3/(2*(5^(1/2)/2 + 1/2)^(1/3)) + (3*(5^(1/2)/2 + 1/2)^(1/3))/2)*((3^(1/2)*(x - (3^(1/2)*(1/(5^(1/2)/2 + 1/2)^(1/3) + (5^(1/2)/2 + 1/2)^(1/3))*1i)/2 - 1/(2*(5^(1/2)/2 + 1/2)^(1/3)) + (5^(1/2)/2 + 1/2)^(1/3)/2)*1i)/(3*(1/(5^(1/2)/2 + 1/2)^(1/3) + (5^(1/2)/2 + 1/2)^(1/3))))^(1/2))/(x^3 - x*((1/(5^(1/2)/2 + 1/2)^(1/3) - (5^(1/2)/2 + 1/2)^(1/3))*((3^(1/2)*(1/(5^(1/2)/2 + 1/2)^(1/3) + (5^(1/2)/2 + 1/2)^(1/3))*1i)/2 + 1/(2*(5^(1/2)/2 + 1/2)^(1/3)) - (5^(1/2)/2 + 1/2)^(1/3)/2) - (1/(5^(1/2)/2 + 1/2)^(1/3) - (5^(1/2)/2 + 1/2)^(1/3))*((3^(1/2)*(1/(5^(1/2)/2 + 1/2)^(1/3) + (5^(1/2)/2 + 1/2)^(1/3))*1i)/2 - 1/(2*(5^(1/2)/2 + 1/2)^(1/3)) + (5^(1/2)/2 + 1/2)^(1/3)/2) + ((3^(1/2)*(1/(5^(1/2)/2 + 1/2)^(1/3) + (5^(1/2)/2 + 1/2)^(1/3))*1i)/2 - 1/(2*(5^(1/2)/2 + 1/2)^(1/3)) + (5^(1/2)/2 + 1/2)^(1/3)/2)*((3^(1/2)*(1/(5^(1/2)/2 + 1/2)^(1/3) + (5^(1/2)/2 + 1/2)^(1/3))*1i)/2 + 1/(2*(5^(1/2)/2 + 1/2)^(1/3)) - (5^(1/2)/2 + 1/2)^(1/3)/2)) - (1/(5^(1/2)/2 + 1/2)^(1/3) - (5^(1/2)/2 + 1/2)^(1/3))*((3^(1/2)*(1/(5^(1/2)/2 + 1/2)^(1/3) + (5^(1/2)/2 + 1/2)^(1/3))*1i)/2 - 1/(2*(5^(1/2)/2 + 1/2)^(1/3)) + (5^(1/2)/2 + 1/2)^(1/3)/2)*((3^(1/2)*(1/(5^(1/2)/2 + 1/2)^(1/3) + (5^(1/2)/2 + 1/2)^(1/3))*1i)/2 + 1/(2*(5^(1/2)/2 + 1/2)^(1/3)) - (5^(1/2)/2 + 1/2)^(1/3)/2))^(1/2) - (6*(-(x + 1/(5^(1/2)/2 + 1/2)^(1/3) - (5^(1/2)/2 + 1/2)^(1/3))/((3^(1/2)*(1/(5^(1/2)/2 + 1/2)^(1/3) + (5^(1/2)/2 + 1/2)^(1/3))*1i)/2 - 3/(2*(5^(1/2)/2 + 1/2)^(1/3)) + (3*(5^(1/2)/2 + 1/2)^(1/3))/2))^(1/2)*((x + (3^(1/2)*(1/(5^(1/2)/2 + 1/2)^(1/3) + (5^(1/2)/2 + 1/2)^(1/3))*1i)/2 - 1/(2*(5^(1/2)/2 + 1/2)^(1/3)) + (5^(1/2)/2 + 1/2)^(1/3)/2)/((3^(1/2)*(1/(5^(1/2)/2 + 1/2)^(1/3) + (5^(1/2)/2 + 1/2)^(1/3))*1i)/2 - 3/(2*(5^(1/2)/2 + 1/2)^(1/3)) + (3*(5^(1/2)/2 + 1/2)^(1/3))/2))^(1/2)*((3^(1/2)*(1/(5^(1/2)/2 + 1/2)^(1/3) + (5^(1/2)/2 + 1/2)^(1/3))*1i)/2 - 3/(2*(5^(1/2)/2 + 1/2)^(1/3)) + (3*(5^(1/2)/2 + 1/2)^(1/3))/2)*ellipticPi(((3^(1/2)*(1/(5^(1/2)/2 + 1/2)^(1/3) + (5^(1/2)/2 + 1/2)^(1/3))*1i)/2 - 3/(2*(5^(1/2)/2 + 1/2)^(1/3)) + (3*(5^(1/2)/2 + 1/2)^(1/3))/2)/((3^(1/2)*(1/(5^(1/2)/2 + 1/2)^(1/3) + (5^(1/2)/2 + 1/2)^(1/3))*1i)/2 - 1/(2*(5^(1/2)/2 + 1/2)^(1/3)) + (5^(1/2)/2 + 1/2)^(1/3)/2 + 1), asin(((x + (3^(1/2)*(1/(5^(1/2)/2 + 1/2)^(1/3) + (5^(1/2)/2 + 1/2)^(1/3))*1i)/2 - 1/(2*(5^(1/2)/2 + 1/2)^(1/3)) + (5^(1/2)/2 + 1/2)^(1/3)/2)/((3^(1/2)*(1/(5^(1/2)/2 + 1/2)^(1/3) + (5^(1/2)/2 + 1/2)^(1/3))*1i)/2 - 3/(2*(5^(1/2)/2 + 1/2)^(1/3)) + (3*(5^(1/2)/2 + 1/2)^(1/3))/2))^(1/2)), -(3^(1/2)*((3^(1/2)*(1/(5^(1/2)/2 + 1/2)^(1/3) + (5^(1/2)/2 + 1/2)^(1/3))*1i)/2 - 3/(2*(5^(1/2)/2 + 1/2)^(1/3)) + (3*(5^(1/2)/2 + 1/2)^(1/3))/2)*1i)/(3*(1/(5^(1/2)/2 + 1/2)^(1/3) + (5^(1/2)/2 + 1/2)^(1/3))))*((3^(1/2)*(x - (3^(1/2)*(1/(5^(1/2)/2 + 1/2)^(1/3) + (5^(1/2)/2 + 1/2)^(1/3))*1i)/2 - 1/(2*(5^(1/2)/2 + 1/2)^(1/3)) + (5^(1/2)/2 + 1/2)^(1/3)/2)*1i)/(3*(1/(5^(1/2)/2 + 1/2)^(1/3) + (5^(1/2)/2 + 1/2)^(1/3))))^(1/2))/((x^3 - x*((1/(5^(1/2)/2 + 1/2)^(1/3) - (5^(1/2)/2 + 1/2)^(1/3))*((3^(1/2)*(1/(5^(1/2)/2 + 1/2)^(1/3) + (5^(1/2)/2 + 1/2)^(1/3))*1i)/2 + 1/(2*(5^(1/2)/2 + 1/2)^(1/3)) - (5^(1/2)/2 + 1/2)^(1/3)/2) - (1/(5^(1/2)/2 + 1/2)^(1/3) - (5^(1/2)/2 + 1/2)^(1/3))*((3^(1/2)*(1/(5^(1/2)/2 + 1/2)^(1/3) + (5^(1/2)/2 + 1/2)^(1/3))*1i)/2 - 1/(2*(5^(1/2)/2 + 1/2)^(1/3)) + (5^(1/2)/2 + 1/2)^(1/3)/2) + ((3^(1/2)*(1/(5^(1/2)/2 + 1/2)^(1/3) + (5^(1/2)/2 + 1/2)^(1/3))*1i)/2 - 1/(2*(5^(1/2)/2 + 1/2)^(1/3)) + (5^(1/2)/2 + 1/2)^(1/3)/2)*((3^(1/2)*(1/(5^(1/2)/2 + 1/2)^(1/3) + (5^(1/2)/2 + 1/2)^(1/3))*1i)/2 + 1/(2*(5^(1/2)/2 + 1/2)^(1/3)) - (5^(1/2)/2 + 1/2)^(1/3)/2)) - (1/(5^(1/2)/2 + 1/2)^(1/3) - (5^(1/2)/2 + 1/2)^(1/3))*((3^(1/2)*(1/(5^(1/2)/2 + 1/2)^(1/3) + (5^(1/2)/2 + 1/2)^(1/3))*1i)/2 - 1/(2*(5^(1/2)/2 + 1/2)^(1/3)) + (5^(1/2)/2 + 1/2)^(1/3)/2)*((3^(1/2)*(1/(5^(1/2)/2 + 1/2)^(1/3) + (5^(1/2)/2 + 1/2)^(1/3))*1i)/2 + 1/(2*(5^(1/2)/2 + 1/2)^(1/3)) - (5^(1/2)/2 + 1/2)^(1/3)/2))^(1/2)*((3^(1/2)*(1/(5^(1/2)/2 + 1/2)^(1/3) + (5^(1/2)/2 + 1/2)^(1/3))*1i)/2 - 1/(2*(5^(1/2)/2 + 1/2)^(1/3)) + (5^(1/2)/2 + 1/2)^(1/3)/2 + 1))","B"
300,1,167,27,0.283597,"\text{Not used}","int((2*x - 1)/((x + 1)*(x^3 - x^2 - x)^(1/2)),x)","\frac{\left(2\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\right)\middle|-\frac{\frac{\sqrt{5}}{2}+\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}\right)-3\,\Pi \left(-\frac{\sqrt{5}}{2}-\frac{1}{2};\mathrm{asin}\left(\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\right)\middle|-\frac{\frac{\sqrt{5}}{2}+\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}\right)\right)\,\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\,\sqrt{\frac{x+\frac{\sqrt{5}}{2}-\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}}\,\left(\sqrt{5}+1\right)\,\sqrt{\frac{\frac{\sqrt{5}}{2}-x+\frac{1}{2}}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}}{\sqrt{x^3-x^2-\left(\frac{\sqrt{5}}{2}-\frac{1}{2}\right)\,\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)\,x}}","Not used",1,"((2*ellipticF(asin((x/(5^(1/2)/2 + 1/2))^(1/2)), -(5^(1/2)/2 + 1/2)/(5^(1/2)/2 - 1/2)) - 3*ellipticPi(- 5^(1/2)/2 - 1/2, asin((x/(5^(1/2)/2 + 1/2))^(1/2)), -(5^(1/2)/2 + 1/2)/(5^(1/2)/2 - 1/2)))*(x/(5^(1/2)/2 + 1/2))^(1/2)*((x + 5^(1/2)/2 - 1/2)/(5^(1/2)/2 - 1/2))^(1/2)*(5^(1/2) + 1)*((5^(1/2)/2 - x + 1/2)/(5^(1/2)/2 + 1/2))^(1/2))/(x^3 - x^2 - x*(5^(1/2)/2 - 1/2)*(5^(1/2)/2 + 1/2))^(1/2)","B"
301,1,24,27,0.308549,"\text{Not used}","int(x^5/(b + a*x^3)^(1/2),x)","-\frac{2\,\sqrt{a\,x^3+b}\,\left(2\,b-a\,x^3\right)}{9\,a^2}","Not used",1,"-(2*(b + a*x^3)^(1/2)*(2*b - a*x^3))/(9*a^2)","B"
302,1,35,27,0.244167,"\text{Not used}","int(1/(x^4*(x^4 - x^2)^(1/4)),x)","\frac{8\,x^2\,{\left(x^4-x^2\right)}^{3/4}+6\,{\left(x^4-x^2\right)}^{3/4}}{21\,x^5}","Not used",1,"(8*x^2*(x^4 - x^2)^(3/4) + 6*(x^4 - x^2)^(3/4))/(21*x^5)","B"
303,1,19,27,0.385172,"\text{Not used}","int(1/(x*(b + a*x^4)^(1/2)),x)","-\frac{\mathrm{atanh}\left(\frac{\sqrt{a\,x^4+b}}{\sqrt{b}}\right)}{2\,\sqrt{b}}","Not used",1,"-atanh((b + a*x^4)^(1/2)/b^(1/2))/(2*b^(1/2))","B"
304,1,35,27,0.243696,"\text{Not used}","int(1/(x^7*(x^6 - x^2)^(1/3)),x)","\frac{9\,x^4\,{\left(x^6-x^2\right)}^{2/3}+6\,{\left(x^6-x^2\right)}^{2/3}}{40\,x^8}","Not used",1,"(9*x^4*(x^6 - x^2)^(2/3) + 6*(x^6 - x^2)^(2/3))/(40*x^8)","B"
305,1,174,28,0.156765,"\text{Not used}","int((x^3 - 1)^(1/2)/x,x)","\frac{2\,\sqrt{x^3-1}}{3}+\frac{2\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(2*(x^3 - 1)^(1/2))/3 + (2*((3^(1/2)*1i)/2 + 3/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi((3^(1/2)*1i)/2 + 3/2, asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2)","B"
306,1,39,28,0.160249,"\text{Not used}","int(((x^3 - 1)*(x^3 + 1)^(1/3))/x^8,x)","-\frac{3\,x^3\,{\left(x^3+1\right)}^{1/3}-2\,{\left(x^3+1\right)}^{1/3}+5\,x^6\,{\left(x^3+1\right)}^{1/3}}{14\,x^7}","Not used",1,"-(3*x^3*(x^3 + 1)^(1/3) - 2*(x^3 + 1)^(1/3) + 5*x^6*(x^3 + 1)^(1/3))/(14*x^7)","B"
307,1,174,28,0.157335,"\text{Not used}","int((x^3 + 1)^(1/2)/x,x)","\frac{2\,\sqrt{x^3+1}}{3}-\frac{2\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(2*(x^3 + 1)^(1/2))/3 - (2*((3^(1/2)*1i)/2 + 3/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi((3^(1/2)*1i)/2 + 3/2, asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2)","B"
308,1,39,28,0.250121,"\text{Not used}","int(((x^3 - 1)^(1/3)*(x^3 + 1))/x^8,x)","-\frac{2\,{\left(x^3-1\right)}^{1/3}+3\,x^3\,{\left(x^3-1\right)}^{1/3}-5\,x^6\,{\left(x^3-1\right)}^{1/3}}{14\,x^7}","Not used",1,"-(2*(x^3 - 1)^(1/3) + 3*x^3*(x^3 - 1)^(1/3) - 5*x^6*(x^3 - 1)^(1/3))/(14*x^7)","B"
309,1,24,28,0.290498,"\text{Not used}","int(((x^3 - 1)^(2/3)*(x^3 + 2))/x^9,x)","-\frac{{\left(x^3-1\right)}^{2/3}\,\left(-7\,x^6+2\,x^3+5\right)}{20\,x^8}","Not used",1,"-((x^3 - 1)^(2/3)*(2*x^3 - 7*x^6 + 5))/(20*x^8)","B"
310,1,22,28,0.291302,"\text{Not used}","int(((x^3 + 1)^(2/3)*(x^3 + 2))/x^9,x)","-\frac{{\left(x^3+1\right)}^{2/3}\,\left(x^6+6\,x^3+5\right)}{20\,x^8}","Not used",1,"-((x^3 + 1)^(2/3)*(6*x^3 + x^6 + 5))/(20*x^8)","B"
311,1,24,28,0.211264,"\text{Not used}","int(1/(x^6*(x + x^3)^(1/3)),x)","-\frac{3\,{\left(x^3+x\right)}^{2/3}\,\left(9\,x^4-6\,x^2+5\right)}{80\,x^6}","Not used",1,"-(3*(x + x^3)^(2/3)*(9*x^4 - 6*x^2 + 5))/(80*x^6)","B"
312,1,17,28,0.247685,"\text{Not used}","int(-(x - 2*x^2 + 2)/(x*(x^3 - x^2)^(1/4)*(x - 1)),x)","\frac{8\,x-4}{{\left(x^3-x^2\right)}^{1/4}}","Not used",1,"(8*x - 4)/(x^3 - x^2)^(1/4)","B"
313,1,165,28,0.252780,"\text{Not used}","int((x + 2)/((x - 1)*(x^3 - x^2 - x)^(1/2)),x)","\frac{\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\,\sqrt{\frac{x+\frac{\sqrt{5}}{2}-\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}}\,\left(\sqrt{5}+1\right)\,\left(\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\right)\middle|-\frac{\frac{\sqrt{5}}{2}+\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}\right)-3\,\Pi \left(\frac{\sqrt{5}}{2}+\frac{1}{2};\mathrm{asin}\left(\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\right)\middle|-\frac{\frac{\sqrt{5}}{2}+\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}\right)\right)\,\sqrt{\frac{\frac{\sqrt{5}}{2}-x+\frac{1}{2}}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}}{\sqrt{x^3-x^2-\left(\frac{\sqrt{5}}{2}-\frac{1}{2}\right)\,\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)\,x}}","Not used",1,"((x/(5^(1/2)/2 + 1/2))^(1/2)*((x + 5^(1/2)/2 - 1/2)/(5^(1/2)/2 - 1/2))^(1/2)*(5^(1/2) + 1)*(ellipticF(asin((x/(5^(1/2)/2 + 1/2))^(1/2)), -(5^(1/2)/2 + 1/2)/(5^(1/2)/2 - 1/2)) - 3*ellipticPi(5^(1/2)/2 + 1/2, asin((x/(5^(1/2)/2 + 1/2))^(1/2)), -(5^(1/2)/2 + 1/2)/(5^(1/2)/2 - 1/2)))*((5^(1/2)/2 - x + 1/2)/(5^(1/2)/2 + 1/2))^(1/2))/(x^3 - x^2 - x*(5^(1/2)/2 - 1/2)*(5^(1/2)/2 + 1/2))^(1/2)","B"
314,1,39,28,0.237204,"\text{Not used}","int(((x^2 + 3)*(x^2 + x^3 + 1))/(x^6*(x + x^3)^(1/4)),x)","-\frac{12\,{\left(x^3+x\right)}^{3/4}+12\,x^2\,{\left(x^3+x\right)}^{3/4}+28\,x^3\,{\left(x^3+x\right)}^{3/4}}{21\,x^6}","Not used",1,"-(12*(x + x^3)^(3/4) + 12*x^2*(x + x^3)^(3/4) + 28*x^3*(x + x^3)^(3/4))/(21*x^6)","B"
315,1,49,28,0.356072,"\text{Not used}","int(((x^3 - 1)^(1/3)*(2*x^3 - 1))/x^11,x)","\frac{3\,{\left(x^3-1\right)}^{1/3}}{20\,x}+\frac{{\left(x^3-1\right)}^{1/3}}{20\,x^4}-\frac{3\,{\left(x^3-1\right)}^{1/3}}{10\,x^7}+\frac{{\left(x^3-1\right)}^{1/3}}{10\,x^{10}}","Not used",1,"(3*(x^3 - 1)^(1/3))/(20*x) + (x^3 - 1)^(1/3)/(20*x^4) - (3*(x^3 - 1)^(1/3))/(10*x^7) + (x^3 - 1)^(1/3)/(10*x^10)","B"
316,1,39,28,0.271282,"\text{Not used}","int(((x^3 - 1)^(1/3)*(2*x^3 - 1))/x^8,x)","\frac{4\,{\left(x^3-1\right)}^{1/3}-15\,x^3\,{\left(x^3-1\right)}^{1/3}+11\,x^6\,{\left(x^3-1\right)}^{1/3}}{28\,x^7}","Not used",1,"(4*(x^3 - 1)^(1/3) - 15*x^3*(x^3 - 1)^(1/3) + 11*x^6*(x^3 - 1)^(1/3))/(28*x^7)","B"
317,1,39,28,0.241886,"\text{Not used}","int(-((x^2 + 3)*(x^2 - 2*x^3 + 1))/(x^6*(x + x^3)^(1/4)),x)","\frac{12\,{\left(x^3+x\right)}^{3/4}+12\,x^2\,{\left(x^3+x\right)}^{3/4}-56\,x^3\,{\left(x^3+x\right)}^{3/4}}{21\,x^6}","Not used",1,"(12*(x + x^3)^(3/4) + 12*x^2*(x + x^3)^(3/4) - 56*x^3*(x + x^3)^(3/4))/(21*x^6)","B"
318,1,45,28,2.058894,"\text{Not used}","int((2*b + a*x^3)/((a*x^3 - b)^(1/2)*(a*x^3 - b + x^2)),x)","\ln\left(\frac{b-a\,x^3+x^2-x\,\sqrt{a\,x^3-b}\,2{}\mathrm{i}}{a\,x^3+x^2-b}\right)\,1{}\mathrm{i}","Not used",1,"log((b - a*x^3 + x^2 - x*(a*x^3 - b)^(1/2)*2i)/(a*x^3 - b + x^2))*1i","B"
319,1,39,28,0.356868,"\text{Not used}","int(((x^4 - 1)^(3/4)*(x^4 - 4))/x^12,x)","-\frac{23\,x^4\,{\left(x^4-1\right)}^{3/4}-28\,{\left(x^4-1\right)}^{3/4}+5\,x^8\,{\left(x^4-1\right)}^{3/4}}{77\,x^{11}}","Not used",1,"-(23*x^4*(x^4 - 1)^(3/4) - 28*(x^4 - 1)^(3/4) + 5*x^8*(x^4 - 1)^(3/4))/(77*x^11)","B"
320,1,20,28,0.281333,"\text{Not used}","int((x^4 + 1)^(1/2)/x,x)","\frac{\sqrt{x^4+1}}{2}-\frac{\mathrm{atanh}\left(\sqrt{x^4+1}\right)}{2}","Not used",1,"(x^4 + 1)^(1/2)/2 - atanh((x^4 + 1)^(1/2))/2","B"
321,1,24,28,0.349236,"\text{Not used}","int((x^4 - x)^(1/4)/x^8,x)","\frac{4\,{\left(x^4-x\right)}^{1/4}\,\left(4\,x^6+x^3-5\right)}{135\,x^7}","Not used",1,"(4*(x^4 - x)^(1/4)*(x^3 + 4*x^6 - 5))/(135*x^7)","B"
322,1,22,28,0.338584,"\text{Not used}","int((x + x^4)^(1/4)/x^8,x)","-\frac{4\,{\left(x^4+x\right)}^{1/4}\,\left(-4\,x^6+x^3+5\right)}{135\,x^7}","Not used",1,"-(4*(x + x^4)^(1/4)*(x^3 - 4*x^6 + 5))/(135*x^7)","B"
323,0,-1,28,0.000000,"\text{Not used}","int((x^2 + 2)/((x^2 - 1)*(x^4 - x^2 - 1)^(1/2)),x)","\int \frac{x^2+2}{\left(x^2-1\right)\,\sqrt{x^4-x^2-1}} \,d x","Not used",1,"int((x^2 + 2)/((x^2 - 1)*(x^4 - x^2 - 1)^(1/2)), x)","F"
324,1,39,28,0.244622,"\text{Not used}","int(-((x^3 + 4)*(x^3 - x^4 + 1))/(x^6*(x^3 + 1)^(3/4)),x)","\frac{4\,{\left(x^3+1\right)}^{1/4}+4\,x^3\,{\left(x^3+1\right)}^{1/4}-20\,x^4\,{\left(x^3+1\right)}^{1/4}}{5\,x^5}","Not used",1,"(4*(x^3 + 1)^(1/4) + 4*x^3*(x^3 + 1)^(1/4) - 20*x^4*(x^3 + 1)^(1/4))/(5*x^5)","B"
325,1,39,28,0.140062,"\text{Not used}","int(-((x^3 + 4)*(x^3 - x^4 + 1))/(x^8*(x^3 + 1)^(1/4)),x)","\frac{12\,{\left(x^3+1\right)}^{3/4}+12\,x^3\,{\left(x^3+1\right)}^{3/4}-28\,x^4\,{\left(x^3+1\right)}^{3/4}}{21\,x^7}","Not used",1,"(12*(x^3 + 1)^(3/4) + 12*x^3*(x^3 + 1)^(3/4) - 28*x^4*(x^3 + 1)^(3/4))/(21*x^7)","B"
326,1,39,28,0.256574,"\text{Not used}","int(((x^3 - 4)*(x^4 - x^3 + 1))/(x^8*(x^3 - 1)^(1/4)),x)","-\frac{12\,{\left(x^3-1\right)}^{3/4}-12\,x^3\,{\left(x^3-1\right)}^{3/4}+28\,x^4\,{\left(x^3-1\right)}^{3/4}}{21\,x^7}","Not used",1,"-(12*(x^3 - 1)^(3/4) - 12*x^3*(x^3 - 1)^(3/4) + 28*x^4*(x^3 - 1)^(3/4))/(21*x^7)","B"
327,0,-1,28,0.000000,"\text{Not used}","int(x/(x^3 + x^4)^(1/2),x)","\int \frac{x}{\sqrt{x^4+x^3}} \,d x","Not used",1,"int(x/(x^3 + x^4)^(1/2), x)","F"
328,1,16,28,0.172656,"\text{Not used}","int(1/(x*(x^3 + x^4)^(1/4)*(x + 1)),x)","-\frac{16\,x+4}{3\,{\left(x^4+x^3\right)}^{1/4}}","Not used",1,"-(16*x + 4)/(3*(x^3 + x^4)^(1/4))","B"
329,1,39,28,0.236876,"\text{Not used}","int(-((x^3 + 4)*(x^3 - 2*x^4 + 1))/(x^6*(x^3 + 1)^(3/4)),x)","\frac{4\,{\left(x^3+1\right)}^{1/4}+4\,x^3\,{\left(x^3+1\right)}^{1/4}-40\,x^4\,{\left(x^3+1\right)}^{1/4}}{5\,x^5}","Not used",1,"(4*(x^3 + 1)^(1/4) + 4*x^3*(x^3 + 1)^(1/4) - 40*x^4*(x^3 + 1)^(1/4))/(5*x^5)","B"
330,1,39,28,0.293644,"\text{Not used}","int(((x^4 - 3)*(x^4 - x^3 + 1))/(x^6*(x + x^5)^(1/4)),x)","\frac{12\,{\left(x^5+x\right)}^{3/4}-28\,x^3\,{\left(x^5+x\right)}^{3/4}+12\,x^4\,{\left(x^5+x\right)}^{3/4}}{21\,x^6}","Not used",1,"(12*(x + x^5)^(3/4) - 28*x^3*(x + x^5)^(3/4) + 12*x^4*(x + x^5)^(3/4))/(21*x^6)","B"
331,1,20,28,0.293534,"\text{Not used}","int((x^6 - 1)^(1/2)/x,x)","\frac{\sqrt{x^6-1}}{3}-\frac{\mathrm{atan}\left(\sqrt{x^6-1}\right)}{3}","Not used",1,"(x^6 - 1)^(1/2)/3 - atan((x^6 - 1)^(1/2))/3","B"
332,1,20,28,0.297940,"\text{Not used}","int((x^6 - 1)/(x*(x^6 + 1)^(1/2)),x)","\frac{\mathrm{atanh}\left(\sqrt{x^6+1}\right)}{3}+\frac{\sqrt{x^6+1}}{3}","Not used",1,"atanh((x^6 + 1)^(1/2))/3 + (x^6 + 1)^(1/2)/3","B"
333,1,20,28,0.269662,"\text{Not used}","int((x^6 + 1)^(1/2)/x,x)","\frac{\sqrt{x^6+1}}{3}-\frac{\mathrm{atanh}\left(\sqrt{x^6+1}\right)}{3}","Not used",1,"(x^6 + 1)^(1/2)/3 - atanh((x^6 + 1)^(1/2))/3","B"
334,1,24,28,0.338935,"\text{Not used}","int(((x^6 - 1)^(1/3)*(x^6 + 1))/x^15,x)","\frac{7\,{\left(x^6-1\right)}^{4/3}+5\,{\left(x^6-1\right)}^{7/3}}{28\,x^{14}}","Not used",1,"(7*(x^6 - 1)^(4/3) + 5*(x^6 - 1)^(7/3))/(28*x^14)","B"
335,1,39,28,0.323664,"\text{Not used}","int(((2*x^5 - 3)*(x^5 - x^3 + 1))/(x^6*(x + x^6)^(1/4)),x)","\frac{12\,{\left(x^6+x\right)}^{3/4}-28\,x^3\,{\left(x^6+x\right)}^{3/4}+12\,x^5\,{\left(x^6+x\right)}^{3/4}}{21\,x^6}","Not used",1,"(12*(x + x^6)^(3/4) - 28*x^3*(x + x^6)^(3/4) + 12*x^5*(x + x^6)^(3/4))/(21*x^6)","B"
336,1,39,28,0.184776,"\text{Not used}","int(((x^6 - 2)*(x^6 - x^4 + 1))/(x^8*(x^6 + 1)^(1/4)),x)","\frac{6\,{\left(x^6+1\right)}^{3/4}-14\,x^4\,{\left(x^6+1\right)}^{3/4}+6\,x^6\,{\left(x^6+1\right)}^{3/4}}{21\,x^7}","Not used",1,"(6*(x^6 + 1)^(3/4) - 14*x^4*(x^6 + 1)^(3/4) + 6*x^6*(x^6 + 1)^(3/4))/(21*x^7)","B"
337,1,24,28,0.363123,"\text{Not used}","int(((x^6 - 1)^(1/3)*(2*x^6 - 1))/x^15,x)","\frac{7\,{\left(x^6-1\right)}^{4/3}+11\,{\left(x^6-1\right)}^{7/3}}{56\,x^{14}}","Not used",1,"(7*(x^6 - 1)^(4/3) + 11*(x^6 - 1)^(7/3))/(56*x^14)","B"
338,1,236,28,1.488750,"\text{Not used}","int((x^2*(x^3 + 1)^(1/2)*(x^3 - 2))/(3*x^3 + x^9 + 1),x)","\sum _{k=1}^9\frac{\sqrt{6}\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{-\left(-3+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(x+1\right)}\,\Pi \left(\frac{3+\sqrt{3}\,1{}\mathrm{i}}{2\,\left(\mathrm{root}\left(z^9+3\,z^3+1,z,k\right)+1\right)};\mathrm{asin}\left(\frac{\sqrt{6}\,\sqrt{-\left(-3+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(x+1\right)}}{6}\right)\middle|\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(-{\mathrm{root}\left(z^9+3\,z^3+1,z,k\right)}^6+{\mathrm{root}\left(z^9+3\,z^3+1,z,k\right)}^3+2\right)\,{\mathrm{root}\left(z^9+3\,z^3+1,z,k\right)}^2\,\sqrt{3-3\,x+\sqrt{3}\,x\,1{}\mathrm{i}+\sqrt{3}\,1{}\mathrm{i}}\,\sqrt{3-3\,x-\sqrt{3}\,x\,1{}\mathrm{i}-\sqrt{3}\,1{}\mathrm{i}}}{162\,\left(\mathrm{root}\left(z^9+3\,z^3+1,z,k\right)+1\right)\,\sqrt{x^3+1}\,\left({\mathrm{root}\left(z^9+3\,z^3+1,z,k\right)}^8+{\mathrm{root}\left(z^9+3\,z^3+1,z,k\right)}^2\right)}","Not used",1,"symsum((6^(1/2)*((3^(1/2)*1i)/2 + 3/2)*(-(3^(1/2)*1i - 3)*(x + 1))^(1/2)*ellipticPi((3^(1/2)*1i + 3)/(2*(root(z^9 + 3*z^3 + 1, z, k) + 1)), asin((6^(1/2)*(-(3^(1/2)*1i - 3)*(x + 1))^(1/2))/6), (3^(1/2)*1i)/2 + 1/2)*(root(z^9 + 3*z^3 + 1, z, k)^3 - root(z^9 + 3*z^3 + 1, z, k)^6 + 2)*root(z^9 + 3*z^3 + 1, z, k)^2*(3^(1/2)*x*1i - 3*x + 3^(1/2)*1i + 3)^(1/2)*(3 - 3^(1/2)*x*1i - 3^(1/2)*1i - 3*x)^(1/2))/(162*(root(z^9 + 3*z^3 + 1, z, k) + 1)*(x^3 + 1)^(1/2)*(root(z^9 + 3*z^3 + 1, z, k)^2 + root(z^9 + 3*z^3 + 1, z, k)^8)), k, 1, 9)","B"
339,0,-1,28,0.000000,"\text{Not used}","int((x^4*(4*x^5 - 9))/((x^6 - x)^(1/2)*(a - a*x^5 + x^9)),x)","\int \frac{x^4\,\left(4\,x^5-9\right)}{\sqrt{x^6-x}\,\left(x^9-a\,x^5+a\right)} \,d x","Not used",1,"int((x^4*(4*x^5 - 9))/((x^6 - x)^(1/2)*(a - a*x^5 + x^9)), x)","F"
340,1,48,28,1.000552,"\text{Not used}","int((x^4*(5*x^4 - 9))/((x^5 - x)^(1/2)*(a*x^9 - x^4 + 1)),x)","\frac{\ln\left(\frac{a\,x^9+x^4-2\,\sqrt{a}\,x^4\,\sqrt{x\,\left(x^4-1\right)}-1}{4\,a\,x^9-4\,x^4+4}\right)}{\sqrt{a}}","Not used",1,"log((a*x^9 + x^4 - 2*a^(1/2)*x^4*(x*(x^4 - 1))^(1/2) - 1)/(4*a*x^9 - 4*x^4 + 4))/a^(1/2)","B"
341,0,-1,28,0.000000,"\text{Not used}","int((x^4*(4*x^5 - 9))/((x^6 - x)^(1/2)*(a*x^9 - x^5 + 1)),x)","\int \frac{x^4\,\left(4\,x^5-9\right)}{\sqrt{x^6-x}\,\left(a\,x^9-x^5+1\right)} \,d x","Not used",1,"int((x^4*(4*x^5 - 9))/((x^6 - x)^(1/2)*(a*x^9 - x^5 + 1)), x)","F"
342,1,24,28,0.324526,"\text{Not used}","int((x^12 + 1)/(x^16*(x^6 - 1)^(1/2)),x)","\frac{\sqrt{x^6-1}\,\left(23\,x^{12}+4\,x^6+3\right)}{45\,x^{15}}","Not used",1,"((x^6 - 1)^(1/2)*(4*x^6 + 23*x^12 + 3))/(45*x^15)","B"
343,1,25,29,0.393863,"\text{Not used}","int((x - 1)/((x + 1)*(x - 3)*(x^2 - 2*x - 2)^(1/4)),x)","\mathrm{atan}\left({\left(x^2-2\,x-2\right)}^{1/4}\right)-\mathrm{atanh}\left({\left(x^2-2\,x-2\right)}^{1/4}\right)","Not used",1,"atan((x^2 - 2*x - 2)^(1/4)) - atanh((x^2 - 2*x - 2)^(1/4))","B"
344,0,-1,29,0.000000,"\text{Not used}","int(1/((x - 1)*(x^2 - 2*x + 2)^(1/4)),x)","\int \frac{1}{\left(x-1\right)\,{\left(x^2-2\,x+2\right)}^{1/4}} \,d x","Not used",1,"int(1/((x - 1)*(x^2 - 2*x + 2)^(1/4)), x)","F"
345,0,-1,29,0.000000,"\text{Not used}","int(1/((x + 1)*(2*x + x^2 + 2)^(1/4)),x)","\int \frac{1}{\left(x+1\right)\,{\left(x^2+2\,x+2\right)}^{1/4}} \,d x","Not used",1,"int(1/((x + 1)*(2*x + x^2 + 2)^(1/4)), x)","F"
346,1,21,29,0.249874,"\text{Not used}","int(1/(x*(x^3 + 1)^(1/4)),x)","\frac{2\,\mathrm{atan}\left({\left(x^3+1\right)}^{1/4}\right)}{3}-\frac{2\,\mathrm{atanh}\left({\left(x^3+1\right)}^{1/4}\right)}{3}","Not used",1,"(2*atan((x^3 + 1)^(1/4)))/3 - (2*atanh((x^3 + 1)^(1/4)))/3","B"
347,1,37,29,1.081108,"\text{Not used}","int(1/(x*(a*x^3 - b)^(1/2)),x)","\frac{\ln\left(\frac{a\,x^3-2\,b+\sqrt{b}\,\sqrt{a\,x^3-b}\,2{}\mathrm{i}}{x^3}\right)\,1{}\mathrm{i}}{3\,\sqrt{b}}","Not used",1,"(log((b^(1/2)*(a*x^3 - b)^(1/2)*2i - 2*b + a*x^3)/x^3)*1i)/(3*b^(1/2))","B"
348,1,25,29,0.395684,"\text{Not used}","int(x^5/(a*x^3 - b)^(1/2),x)","\frac{2\,\sqrt{a\,x^3-b}\,\left(a\,x^3+2\,b\right)}{9\,a^2}","Not used",1,"(2*(a*x^3 - b)^(1/2)*(2*b + a*x^3))/(9*a^2)","B"
349,0,-1,29,0.000000,"\text{Not used}","int((x + 1)/((x - 1)*(x^4 - x^2 + 1)^(1/2)),x)","\int \frac{x+1}{\left(x-1\right)\,\sqrt{x^4-x^2+1}} \,d x","Not used",1,"int((x + 1)/((x - 1)*(x^4 - x^2 + 1)^(1/2)), x)","F"
350,1,25,29,0.125729,"\text{Not used}","int(((x^4 - 1)*(x^4 + 1))/(x^2 + x^4 + 1)^(5/2),x)","-\frac{x\,\left(3\,x^4+2\,x^2+3\right)}{3\,{\left(x^4+x^2+1\right)}^{3/2}}","Not used",1,"-(x*(2*x^2 + 3*x^4 + 3))/(3*(x^2 + x^4 + 1)^(3/2))","B"
351,0,-1,29,0.000000,"\text{Not used}","int((x^2*(x^3 - 4))/((x^3 - 1)^(3/4)*(x^4 - x^3 + 1)),x)","\int \frac{x^2\,\left(x^3-4\right)}{{\left(x^3-1\right)}^{3/4}\,\left(x^4-x^3+1\right)} \,d x","Not used",1,"int((x^2*(x^3 - 4))/((x^3 - 1)^(3/4)*(x^4 - x^3 + 1)), x)","F"
352,0,-1,29,0.000000,"\text{Not used}","int((2*x + 1)/(2*x^3 - 3*x^2 - 4*x + x^4 - 4)^(1/2),x)","\int \frac{2\,x+1}{\sqrt{x^4+2\,x^3-3\,x^2-4\,x-4}} \,d x","Not used",1,"int((2*x + 1)/(2*x^3 - 3*x^2 - 4*x + x^4 - 4)^(1/2), x)","F"
353,1,21,29,0.382290,"\text{Not used}","int(1/(x*(a*x^4 - b)^(1/2)),x)","\frac{\mathrm{atan}\left(\frac{\sqrt{a\,x^4-b}}{\sqrt{b}}\right)}{2\,\sqrt{b}}","Not used",1,"atan((a*x^4 - b)^(1/2)/b^(1/2))/(2*b^(1/2))","B"
354,0,-1,29,0.000000,"\text{Not used}","int((2*x^6 - 1)/((x^6 + 1)*(x^6 - 2*x^2 + 1)^(1/2)),x)","\int \frac{2\,x^6-1}{\left(x^6+1\right)\,\sqrt{x^6-2\,x^2+1}} \,d x","Not used",1,"int((2*x^6 - 1)/((x^6 + 1)*(x^6 - 2*x^2 + 1)^(1/2)), x)","F"
355,0,-1,29,0.000000,"\text{Not used}","int((2*x^6 + 1)/((x^6 - 1)*(x^6 - 2*x^2 - 1)^(1/2)),x)","\int \frac{2\,x^6+1}{\left(x^6-1\right)\,\sqrt{x^6-2\,x^2-1}} \,d x","Not used",1,"int((2*x^6 + 1)/((x^6 - 1)*(x^6 - 2*x^2 - 1)^(1/2)), x)","F"
356,1,26,30,0.220467,"\text{Not used}","int(x^8*(x^3 - 1)^(1/3),x)","-{\left(x^3-1\right)}^{1/3}\,\left(-\frac{x^9}{10}+\frac{x^6}{70}+\frac{3\,x^3}{140}+\frac{9}{140}\right)","Not used",1,"-(x^3 - 1)^(1/3)*((3*x^3)/140 + x^6/70 - x^9/10 + 9/140)","B"
357,1,25,30,0.210986,"\text{Not used}","int(x^8*(x^3 + 1)^(1/4),x)","{\left(x^3+1\right)}^{1/4}\,\left(\frac{4\,x^9}{39}+\frac{4\,x^6}{351}-\frac{32\,x^3}{1755}+\frac{128}{1755}\right)","Not used",1,"(x^3 + 1)^(1/4)*((4*x^6)/351 - (32*x^3)/1755 + (4*x^9)/39 + 128/1755)","B"
358,1,26,30,0.231137,"\text{Not used}","int(1/(x^6*(x^3 - x)^(1/3)),x)","\frac{3\,{\left(x^3-x\right)}^{2/3}\,\left(9\,x^4+6\,x^2+5\right)}{80\,x^6}","Not used",1,"(3*(x^3 - x)^(2/3)*(6*x^2 + 9*x^4 + 5))/(80*x^6)","B"
359,1,49,30,0.192657,"\text{Not used}","int(1/(x^3*(x^3 - x^2)^(1/3)),x)","\frac{27\,x^2\,{\left(x^3-x^2\right)}^{2/3}+18\,x\,{\left(x^3-x^2\right)}^{2/3}+15\,{\left(x^3-x^2\right)}^{2/3}}{40\,x^4}","Not used",1,"(27*x^2*(x^3 - x^2)^(2/3) + 18*x*(x^3 - x^2)^(2/3) + 15*(x^3 - x^2)^(2/3))/(40*x^4)","B"
360,1,45,30,0.250088,"\text{Not used}","int(((x^2 - 3)*(x^3 - x^2 + 1))/(x^6*(x^3 - x)^(1/4)),x)","-\frac{12\,{\left(x^3-x\right)}^{3/4}-12\,x^2\,{\left(x^3-x\right)}^{3/4}+28\,x^3\,{\left(x^3-x\right)}^{3/4}}{21\,x^6}","Not used",1,"-(12*(x^3 - x)^(3/4) - 12*x^2*(x^3 - x)^(3/4) + 28*x^3*(x^3 - x)^(3/4))/(21*x^6)","B"
361,1,206,30,0.137528,"\text{Not used}","int((x^2 + 1)/((x^2 - 1)*(x^3 - x^2 - x)^(1/2)),x)","-\frac{\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\,\sqrt{\frac{x+\frac{\sqrt{5}}{2}-\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}}\,\left(\sqrt{5}+1\right)\,\sqrt{\frac{\frac{\sqrt{5}}{2}-x+\frac{1}{2}}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\,\left(\Pi \left(-\frac{\sqrt{5}}{2}-\frac{1}{2};\mathrm{asin}\left(\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\right)\middle|-\frac{\frac{\sqrt{5}}{2}+\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}\right)-\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\right)\middle|-\frac{\frac{\sqrt{5}}{2}+\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}\right)+\Pi \left(\frac{\sqrt{5}}{2}+\frac{1}{2};\mathrm{asin}\left(\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\right)\middle|-\frac{\frac{\sqrt{5}}{2}+\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}\right)\right)}{\sqrt{x^3-x^2-\left(\frac{\sqrt{5}}{2}-\frac{1}{2}\right)\,\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)\,x}}","Not used",1,"-((x/(5^(1/2)/2 + 1/2))^(1/2)*((x + 5^(1/2)/2 - 1/2)/(5^(1/2)/2 - 1/2))^(1/2)*(5^(1/2) + 1)*((5^(1/2)/2 - x + 1/2)/(5^(1/2)/2 + 1/2))^(1/2)*(ellipticPi(- 5^(1/2)/2 - 1/2, asin((x/(5^(1/2)/2 + 1/2))^(1/2)), -(5^(1/2)/2 + 1/2)/(5^(1/2)/2 - 1/2)) - ellipticF(asin((x/(5^(1/2)/2 + 1/2))^(1/2)), -(5^(1/2)/2 + 1/2)/(5^(1/2)/2 - 1/2)) + ellipticPi(5^(1/2)/2 + 1/2, asin((x/(5^(1/2)/2 + 1/2))^(1/2)), -(5^(1/2)/2 + 1/2)/(5^(1/2)/2 - 1/2))))/(x^3 - x^2 - x*(5^(1/2)/2 - 1/2)*(5^(1/2)/2 + 1/2))^(1/2)","B"
362,1,26,30,0.230994,"\text{Not used}","int((x^3 - 1)/(x^3*(x^3 + 1)*(x + x^4)^(1/4)),x)","\frac{4\,\left(7\,x^3+1\right)\,{\left(x^4+x\right)}^{3/4}}{9\,x^3\,\left(x^3+1\right)}","Not used",1,"(4*(7*x^3 + 1)*(x + x^4)^(3/4))/(9*x^3*(x^3 + 1))","B"
363,1,26,30,0.332095,"\text{Not used}","int((x^4 - x^2)^(1/4)/x^6,x)","\frac{2\,{\left(x^4-x^2\right)}^{1/4}\,\left(4\,x^4+x^2-5\right)}{45\,x^5}","Not used",1,"(2*(x^4 - x^2)^(1/4)*(x^2 + 4*x^4 - 5))/(45*x^5)","B"
364,0,-1,30,0.000000,"\text{Not used}","int((2*x - 1)/(x - 2*x^3 + x^4 + 1)^(1/2),x)","\int \frac{2\,x-1}{\sqrt{x^4-2\,x^3+x+1}} \,d x","Not used",1,"int((2*x - 1)/(x - 2*x^3 + x^4 + 1)^(1/2), x)","F"
365,1,18,30,0.227426,"\text{Not used}","int((x + 1)/(x*(x^4 - x^3)^(1/4)*(x - 1)),x)","-\frac{28\,x-4}{3\,{\left(x^4-x^3\right)}^{1/4}}","Not used",1,"-(28*x - 4)/(3*(x^4 - x^3)^(1/4))","B"
366,1,45,30,0.302262,"\text{Not used}","int(-((x^4 + 3)*(x^3 - x^4 + 1))/(x^6*(x^5 - x)^(1/4)),x)","-\frac{12\,{\left(x^5-x\right)}^{3/4}+28\,x^3\,{\left(x^5-x\right)}^{3/4}-12\,x^4\,{\left(x^5-x\right)}^{3/4}}{21\,x^6}","Not used",1,"-(12*(x^5 - x)^(3/4) + 28*x^3*(x^5 - x)^(3/4) - 12*x^4*(x^5 - x)^(3/4))/(21*x^6)","B"
367,1,45,30,0.253770,"\text{Not used}","int(((x^4 + 3)*(x^3 + x^4 - 1))/(x^6*(x^5 - x)^(1/4)),x)","\frac{28\,x^3\,{\left(x^5-x\right)}^{3/4}-12\,{\left(x^5-x\right)}^{3/4}+12\,x^4\,{\left(x^5-x\right)}^{3/4}}{21\,x^6}","Not used",1,"(28*x^3*(x^5 - x)^(3/4) - 12*(x^5 - x)^(3/4) + 12*x^4*(x^5 - x)^(3/4))/(21*x^6)","B"
368,1,37,30,0.418179,"\text{Not used}","int((3*x^4 - 1)/((x + x^5)^(1/2)*(x^4 - a*x + 1)),x)","\frac{\ln\left(\frac{a\,x-2\,\sqrt{a}\,\sqrt{x^5+x}+x^4+1}{x^4-a\,x+1}\right)}{\sqrt{a}}","Not used",1,"log((a*x - 2*a^(1/2)*(x + x^5)^(1/2) + x^4 + 1)/(x^4 - a*x + 1))/a^(1/2)","B"
369,1,38,30,0.421726,"\text{Not used}","int((3*x^4 - 1)/((x + x^5)^(1/2)*(a - x + a*x^4)),x)","\frac{\ln\left(\frac{a+x-2\,\sqrt{a}\,\sqrt{x^5+x}+a\,x^4}{a\,x^4-x+a}\right)}{\sqrt{a}}","Not used",1,"log((a + x - 2*a^(1/2)*(x + x^5)^(1/2) + a*x^4)/(a - x + a*x^4))/a^(1/2)","B"
370,0,-1,30,0.000000,"\text{Not used}","int(-((x^6 - 1)^(1/2)*(x^6 + 2))/(x^3*(x^4 - x^6 + 1)),x)","\int -\frac{\sqrt{x^6-1}\,\left(x^6+2\right)}{x^3\,\left(-x^6+x^4+1\right)} \,d x","Not used",1,"int(-((x^6 - 1)^(1/2)*(x^6 + 2))/(x^3*(x^4 - x^6 + 1)), x)","F"
371,0,-1,30,0.000000,"\text{Not used}","int(-((1 - x^6)^(1/2)*(2*x^6 + 1))/(x^2*(x^2 - x^6 + 1)),x)","\int -\frac{\sqrt{1-x^6}\,\left(2\,x^6+1\right)}{x^2\,\left(-x^6+x^2+1\right)} \,d x","Not used",1,"int(-((1 - x^6)^(1/2)*(2*x^6 + 1))/(x^2*(x^2 - x^6 + 1)), x)","F"
372,1,177,31,0.171122,"\text{Not used}","int(1/(x^4*(x^3 - 1)^(1/2)),x)","\frac{\sqrt{x^3-1}}{3\,x^3}-\frac{\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(x^3 - 1)^(1/2)/(3*x^3) - (((3^(1/2)*1i)/2 + 3/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi((3^(1/2)*1i)/2 + 3/2, asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2)","B"
373,1,275,31,0.202877,"\text{Not used}","int(-(2*x - x^2 + 2)/((x^3 - 1)^(1/2)*(x^2 - x + 3)),x)","\frac{\left(3+\sqrt{3}\,1{}\mathrm{i}\right)\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\left(-\mathrm{F}\left(\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)+\Pi \left(\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{11}\,1{}\mathrm{i}}{2}};\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)+\Pi \left(-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{1}{2}+\frac{\sqrt{11}\,1{}\mathrm{i}}{2}};\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)\right)}{\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"((3^(1/2)*1i + 3)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(ellipticPi(((3^(1/2)*1i)/2 + 3/2)/((11^(1/2)*1i)/2 + 1/2), asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)) - ellipticF(asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)) + ellipticPi(-((3^(1/2)*1i)/2 + 3/2)/((11^(1/2)*1i)/2 - 1/2), asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2))))/(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2)","B"
374,1,273,31,0.097372,"\text{Not used}","int(-(2*x - x^2 + 2)/((x^3 - 1)^(1/2)*(3*x + x^2 - 1)),x)","\frac{\left(3+\sqrt{3}\,1{}\mathrm{i}\right)\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\left(-\mathrm{F}\left(\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)+\Pi \left(\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{\sqrt{13}}{2}+\frac{5}{2}};\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)+\Pi \left(-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{\sqrt{13}}{2}-\frac{5}{2}};\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)\right)}{\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"((3^(1/2)*1i + 3)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(ellipticPi(((3^(1/2)*1i)/2 + 3/2)/(13^(1/2)/2 + 5/2), asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)) - ellipticF(asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)) + ellipticPi(-((3^(1/2)*1i)/2 + 3/2)/(13^(1/2)/2 - 5/2), asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2))))/(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2)","B"
375,1,177,31,0.170844,"\text{Not used}","int((x^3 - 1)^(1/2)/x^4,x)","-\frac{\sqrt{x^3-1}}{3\,x^3}-\frac{\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"- (x^3 - 1)^(1/2)/(3*x^3) - (((3^(1/2)*1i)/2 + 3/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi((3^(1/2)*1i)/2 + 3/2, asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2)","B"
376,1,176,31,0.159498,"\text{Not used}","int(1/(x^4*(x^3 + 1)^(1/2)),x)","-\frac{\sqrt{x^3+1}}{3\,x^3}+\frac{\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(((3^(1/2)*1i)/2 + 3/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi((3^(1/2)*1i)/2 + 3/2, asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2) - (x^3 + 1)^(1/2)/(3*x^3)","B"
377,1,204,31,0.227328,"\text{Not used}","int((x + 1)/((x^3 + 1)^(1/2)*(x - 2)),x)","\frac{\left(3+\sqrt{3}\,1{}\mathrm{i}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\left(\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)-\Pi \left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6};\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)\right)\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}}{\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"((3^(1/2)*1i + 3)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*(ellipticF(asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)) - ellipticPi((3^(1/2)*1i)/6 + 1/2, asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2))/(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2)","B"
378,1,177,31,0.064438,"\text{Not used}","int((x^3 + 1)^(1/2)/x^4,x)","-\frac{\sqrt{x^3+1}}{3\,x^3}-\frac{\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"- (x^3 + 1)^(1/2)/(3*x^3) - (((3^(1/2)*1i)/2 + 3/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi((3^(1/2)*1i)/2 + 3/2, asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2)","B"
379,0,-1,31,0.000000,"\text{Not used}","int((x + 1)/((2*x - 1)*(x + x^4)^(1/2)),x)","\int \frac{x+1}{\left(2\,x-1\right)\,\sqrt{x^4+x}} \,d x","Not used",1,"int((x + 1)/((2*x - 1)*(x + x^4)^(1/2)), x)","F"
380,0,-1,31,0.000000,"\text{Not used}","int((x - 1)/(4*x^2 - 4*x^3 + x^4 - 5)^(1/2),x)","\int \frac{x-1}{\sqrt{x^4-4\,x^3+4\,x^2-5}} \,d x","Not used",1,"int((x - 1)/(4*x^2 - 4*x^3 + x^4 - 5)^(1/2), x)","F"
381,0,-1,31,0.000000,"\text{Not used}","int((x + 2)/(16*x^2 + 8*x^3 + x^4 + 13)^(1/2),x)","\int \frac{x+2}{\sqrt{x^4+8\,x^3+16\,x^2+13}} \,d x","Not used",1,"int((x + 2)/(16*x^2 + 8*x^3 + x^4 + 13)^(1/2), x)","F"
382,0,-1,31,0.000000,"\text{Not used}","int(x/(b + a*x^4)^(1/2),x)","\int \frac{x}{\sqrt{a\,x^4+b}} \,d x","Not used",1,"int(x/(b + a*x^4)^(1/2), x)","F"
383,1,23,31,0.374080,"\text{Not used}","int(1/(x^7*(x^6 - 1)^(1/2)),x)","\frac{\mathrm{atan}\left(\sqrt{x^6-1}\right)}{6}+\frac{\sqrt{x^6-1}}{6\,x^6}","Not used",1,"atan((x^6 - 1)^(1/2))/6 + (x^6 - 1)^(1/2)/(6*x^6)","B"
384,1,23,31,0.335220,"\text{Not used}","int((x^6 - 1)^(1/2)/x^7,x)","\frac{\mathrm{atan}\left(\sqrt{x^6-1}\right)}{6}-\frac{\sqrt{x^6-1}}{6\,x^6}","Not used",1,"atan((x^6 - 1)^(1/2))/6 - (x^6 - 1)^(1/2)/(6*x^6)","B"
385,1,23,31,0.516385,"\text{Not used}","int((x^6 - 1)/(x^7*(x^6 + 1)^(1/2)),x)","\frac{\sqrt{x^6+1}}{6\,x^6}-\frac{\mathrm{atanh}\left(\sqrt{x^6+1}\right)}{2}","Not used",1,"(x^6 + 1)^(1/2)/(6*x^6) - atanh((x^6 + 1)^(1/2))/2","B"
386,1,23,31,0.327278,"\text{Not used}","int((x^6 + 1)^(1/2)/x^7,x)","-\frac{\mathrm{atanh}\left(\sqrt{x^6+1}\right)}{6}-\frac{\sqrt{x^6+1}}{6\,x^6}","Not used",1,"- atanh((x^6 + 1)^(1/2))/6 - (x^6 + 1)^(1/2)/(6*x^6)","B"
387,1,49,31,0.402176,"\text{Not used}","int(((x^6 + 2)*(x^8 - 2*x^6 + x^12 + 1))/(x^10*(x^6 - 1)^(3/4)),x)","\frac{2\,{\left(x^6-1\right)}^{1/4}}{x}-\frac{4\,{\left(x^6-1\right)}^{1/4}}{9\,x^3}+\frac{2\,x^3\,{\left(x^6-1\right)}^{1/4}}{9}+\frac{2\,{\left(x^6-1\right)}^{1/4}}{9\,x^9}","Not used",1,"(2*(x^6 - 1)^(1/4))/x - (4*(x^6 - 1)^(1/4))/(9*x^3) + (2*x^3*(x^6 - 1)^(1/4))/9 + (2*(x^6 - 1)^(1/4))/(9*x^9)","B"
388,0,-1,32,0.000000,"\text{Not used}","int((2*x + 2*x^2 - 1)/((x^4 - x)^(1/2)*(3*x^2 - x + 1)),x)","\int \frac{2\,x^2+2\,x-1}{\sqrt{x^4-x}\,\left(3\,x^2-x+1\right)} \,d x","Not used",1,"int((2*x + 2*x^2 - 1)/((x^4 - x)^(1/2)*(3*x^2 - x + 1)), x)","F"
389,1,28,32,0.236712,"\text{Not used}","int((x^3 + 1)/(x^3*(x^4 - x)^(1/4)*(x^3 - 1)),x)","-\frac{4\,{\left(x^4-x\right)}^{3/4}\,\left(7\,x^3-1\right)}{9\,x^3\,\left(x^3-1\right)}","Not used",1,"-(4*(x^4 - x)^(3/4)*(7*x^3 - 1))/(9*x^3*(x^3 - 1))","B"
390,0,-1,32,0.000000,"\text{Not used}","int(-(2*x - 2*x^2 + 1)/((x + x^4)^(1/2)*(3*x + x^2 - 1)),x)","\int -\frac{-2\,x^2+2\,x+1}{\sqrt{x^4+x}\,\left(x^2+3\,x-1\right)} \,d x","Not used",1,"int(-(2*x - 2*x^2 + 1)/((x + x^4)^(1/2)*(3*x + x^2 - 1)), x)","F"
391,1,28,32,0.222473,"\text{Not used}","int((x^2 - 1)/(x^2*(x^2 + x^4)^(1/4)*(x^2 + 1)),x)","\frac{2\,{\left(x^4+x^2\right)}^{3/4}\,\left(7\,x^2+1\right)}{3\,x^3\,\left(x^2+1\right)}","Not used",1,"(2*(x^2 + x^4)^(3/4)*(7*x^2 + 1))/(3*x^3*(x^2 + 1))","B"
392,0,-1,32,0.000000,"\text{Not used}","int((2*x - 1)/(9*x^2 - 8*x - 2*x^3 + x^4)^(1/2),x)","\int \frac{2\,x-1}{\sqrt{x^4-2\,x^3+9\,x^2-8\,x}} \,d x","Not used",1,"int((2*x - 1)/(9*x^2 - 8*x - 2*x^3 + x^4)^(1/2), x)","F"
393,1,29,33,0.545172,"\text{Not used}","int(-(a - 2*x)/((b - a*x + x^2)^(1/4)*(b - a*x + x^2 - 1)),x)","2\,\mathrm{atan}\left({\left(x^2-a\,x+b\right)}^{1/4}\right)-2\,\mathrm{atanh}\left({\left(x^2-a\,x+b\right)}^{1/4}\right)","Not used",1,"2*atan((b - a*x + x^2)^(1/4)) - 2*atanh((b - a*x + x^2)^(1/4))","B"
394,1,49,33,0.372823,"\text{Not used}","int(((x^3 - 1)^(2/3)*(x^3 - 4))/x^12,x)","\frac{4\,{\left(x^3-1\right)}^{2/3}}{11\,x^{11}}-\frac{13\,{\left(x^3-1\right)}^{2/3}}{220\,x^5}-\frac{19\,{\left(x^3-1\right)}^{2/3}}{88\,x^8}-\frac{39\,{\left(x^3-1\right)}^{2/3}}{440\,x^2}","Not used",1,"(4*(x^3 - 1)^(2/3))/(11*x^11) - (13*(x^3 - 1)^(2/3))/(220*x^5) - (19*(x^3 - 1)^(2/3))/(88*x^8) - (39*(x^3 - 1)^(2/3))/(440*x^2)","B"
395,1,272,33,0.305574,"\text{Not used}","int(-(2*x + x^2 - 2)/((x^3 + 1)^(1/2)*(3*x - x^2 + 1)),x)","-\frac{\left(3+\sqrt{3}\,1{}\mathrm{i}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\left(-\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)+\Pi \left(\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{\sqrt{13}}{2}+\frac{5}{2}};\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)+\Pi \left(-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{\sqrt{13}}{2}-\frac{5}{2}};\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)\right)}{\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"-((3^(1/2)*1i + 3)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(ellipticPi(((3^(1/2)*1i)/2 + 3/2)/(13^(1/2)/2 + 5/2), asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)) - ellipticF(asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)) + ellipticPi(-((3^(1/2)*1i)/2 + 3/2)/(13^(1/2)/2 - 5/2), asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2))))/(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2)","B"
396,1,274,33,0.096160,"\text{Not used}","int((2*x + x^2 - 2)/((x^3 + 1)^(1/2)*(2*x^2 - x + 3)),x)","-\frac{\left(3+\sqrt{3}\,1{}\mathrm{i}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\left(-\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)+\Pi \left(\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{5}{4}+\frac{\sqrt{23}\,1{}\mathrm{i}}{4}};\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)+\Pi \left(-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{5}{4}+\frac{\sqrt{23}\,1{}\mathrm{i}}{4}};\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)\right)}{2\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"-((3^(1/2)*1i + 3)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(ellipticPi(((3^(1/2)*1i)/2 + 3/2)/((23^(1/2)*1i)/4 + 5/4), asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)) - ellipticF(asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)) + ellipticPi(-((3^(1/2)*1i)/2 + 3/2)/((23^(1/2)*1i)/4 - 5/4), asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2))))/(2*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2))","B"
397,1,274,33,0.207315,"\text{Not used}","int((2*x + x^2 - 2)/((x^3 + 1)^(1/2)*(3*x^2 - 4*x + 2)),x)","-\frac{\left(3+\sqrt{3}\,1{}\mathrm{i}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\left(-\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)+\Pi \left(\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{5}{3}+\frac{\sqrt{2}\,1{}\mathrm{i}}{3}};\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)+\Pi \left(-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{5}{3}+\frac{\sqrt{2}\,1{}\mathrm{i}}{3}};\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)\right)}{3\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"-((3^(1/2)*1i + 3)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(ellipticPi(((3^(1/2)*1i)/2 + 3/2)/((2^(1/2)*1i)/3 + 5/3), asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)) - ellipticF(asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)) + ellipticPi(-((3^(1/2)*1i)/2 + 3/2)/((2^(1/2)*1i)/3 - 5/3), asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2))))/(3*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2))","B"
398,1,49,33,0.326623,"\text{Not used}","int(((x^3 - 1)*(x^3 + 1)^(1/3))/x^11,x)","\frac{6\,{\left(x^3+1\right)}^{1/3}}{35\,x}-\frac{2\,{\left(x^3+1\right)}^{1/3}}{35\,x^4}-\frac{9\,{\left(x^3+1\right)}^{1/3}}{70\,x^7}+\frac{{\left(x^3+1\right)}^{1/3}}{10\,x^{10}}","Not used",1,"(6*(x^3 + 1)^(1/3))/(35*x) - (2*(x^3 + 1)^(1/3))/(35*x^4) - (9*(x^3 + 1)^(1/3))/(70*x^7) + (x^3 + 1)^(1/3)/(10*x^10)","B"
399,1,49,33,0.321913,"\text{Not used}","int(((x^3 - 1)^(1/3)*(x^3 + 1))/x^11,x)","\frac{6\,{\left(x^3-1\right)}^{1/3}}{35\,x}+\frac{2\,{\left(x^3-1\right)}^{1/3}}{35\,x^4}-\frac{9\,{\left(x^3-1\right)}^{1/3}}{70\,x^7}-\frac{{\left(x^3-1\right)}^{1/3}}{10\,x^{10}}","Not used",1,"(6*(x^3 - 1)^(1/3))/(35*x) + (2*(x^3 - 1)^(1/3))/(35*x^4) - (9*(x^3 - 1)^(1/3))/(70*x^7) - (x^3 - 1)^(1/3)/(10*x^10)","B"
400,1,41,33,0.259839,"\text{Not used}","int(-(2*x - x^2 - 3*x^3 + 1)/(3*x - 3*x^2 + x^3 - 1)^(1/4),x)","\frac{{\left(x^3-3\,x^2+3\,x-1\right)}^{3/4}\,\left(\frac{12\,x^3}{13}+\frac{196\,x^2}{117}+\frac{632\,x}{585}+\frac{188}{585}\right)}{x^2-2\,x+1}","Not used",1,"((3*x - 3*x^2 + x^3 - 1)^(3/4)*((632*x)/585 + (196*x^2)/117 + (12*x^3)/13 + 188/585))/(x^2 - 2*x + 1)","B"
401,1,35,33,0.197635,"\text{Not used}","int(-(3*x - 3*x^2 + x^3 - 1)^(1/4)*(2*x - x^2 - 3*x^3 + 1),x)","-\frac{4\,\left(x-1\right)\,{\left(x^3-3\,x^2+3\,x-1\right)}^{1/4}\,\left(-693\,x^3-847\,x^2+182\,x+731\right)}{4389}","Not used",1,"-(4*(x - 1)*(3*x - 3*x^2 + x^3 - 1)^(1/4)*(182*x - 847*x^2 - 693*x^3 + 731))/4389","B"
402,1,43,33,0.924886,"\text{Not used}","int(-((b + a*x^3)^(1/2)*(2*b - a*x^3))/(x^2*(b + a*x^3 - x^2)),x)","\ln\left(\frac{x-\sqrt{a\,x^3+b}}{x+\sqrt{a\,x^3+b}}\right)+\frac{2\,\sqrt{a\,x^3+b}}{x}","Not used",1,"log((x - (b + a*x^3)^(1/2))/(x + (b + a*x^3)^(1/2))) + (2*(b + a*x^3)^(1/2))/x","B"
403,1,12,33,0.202553,"\text{Not used}","int(1/(x^4 + 1)^(1/4),x)","x\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{1}{4};\ \frac{5}{4};\ -x^4\right)","Not used",1,"x*hypergeom([1/4, 1/4], 5/4, -x^4)","B"
404,0,-1,33,0.000000,"\text{Not used}","int(-(2*x - 2*x^2 + 1)/((x + x^4)^(1/2)*(2*x + 4*x^2 + 1)),x)","\int -\frac{-2\,x^2+2\,x+1}{\sqrt{x^4+x}\,\left(4\,x^2+2\,x+1\right)} \,d x","Not used",1,"int(-(2*x - 2*x^2 + 1)/((x + x^4)^(1/2)*(2*x + 4*x^2 + 1)), x)","F"
405,1,27,33,0.297081,"\text{Not used}","int((x + x^4)^(1/2),x)","\frac{2\,x\,\sqrt{x^4+x}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{2},\frac{1}{2};\ \frac{3}{2};\ -x^3\right)}{3\,\sqrt{x^3+1}}","Not used",1,"(2*x*(x + x^4)^(1/2)*hypergeom([-1/2, 1/2], 3/2, -x^3))/(3*(x^3 + 1)^(1/2))","B"
406,1,31,33,0.395900,"\text{Not used}","int(1/(x^4 - x^2)^(1/4),x)","\frac{2\,x\,{\left(1-x^2\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{1}{4};\ \frac{5}{4};\ x^2\right)}{{\left(x^4-x^2\right)}^{1/4}}","Not used",1,"(2*x*(1 - x^2)^(1/4)*hypergeom([1/4, 1/4], 5/4, x^2))/(x^4 - x^2)^(1/4)","B"
407,0,-1,33,0.000000,"\text{Not used}","int(-(2*b + a*x^2)/((b + a*x^2)^(1/4)*(b + a*x^2 - x^4)),x)","\int -\frac{a\,x^2+2\,b}{{\left(a\,x^2+b\right)}^{1/4}\,\left(-x^4+a\,x^2+b\right)} \,d x","Not used",1,"int(-(2*b + a*x^2)/((b + a*x^2)^(1/4)*(b + a*x^2 - x^4)), x)","F"
408,0,-1,33,0.000000,"\text{Not used}","int((2*x - 1)/(3*x^2 - 2*x - 2*x^3 + x^4 - 2)^(1/2),x)","\int \frac{2\,x-1}{\sqrt{x^4-2\,x^3+3\,x^2-2\,x-2}} \,d x","Not used",1,"int((2*x - 1)/(3*x^2 - 2*x - 2*x^3 + x^4 - 2)^(1/2), x)","F"
409,0,-1,33,0.000000,"\text{Not used}","int((2*x - 1)/(5*x^2 - 4*x - 2*x^3 + x^4 - 4)^(1/2),x)","\int \frac{2\,x-1}{\sqrt{x^4-2\,x^3+5\,x^2-4\,x-4}} \,d x","Not used",1,"int((2*x - 1)/(5*x^2 - 4*x - 2*x^3 + x^4 - 4)^(1/2), x)","F"
410,1,57,33,0.195800,"\text{Not used}","int(1/(x^4*(x^3 + x^4)^(1/4)),x)","\frac{512\,{\left(x^4+x^3\right)}^{3/4}}{1155\,x^3}-\frac{128\,{\left(x^4+x^3\right)}^{3/4}}{385\,x^4}+\frac{16\,{\left(x^4+x^3\right)}^{3/4}}{55\,x^5}-\frac{4\,{\left(x^4+x^3\right)}^{3/4}}{15\,x^6}","Not used",1,"(512*(x^3 + x^4)^(3/4))/(1155*x^3) - (128*(x^3 + x^4)^(3/4))/(385*x^4) + (16*(x^3 + x^4)^(3/4))/(55*x^5) - (4*(x^3 + x^4)^(3/4))/(15*x^6)","B"
411,0,-1,33,0.000000,"\text{Not used}","int(x/(a*x^4 - b)^(1/2),x)","\int \frac{x}{\sqrt{a\,x^4-b}} \,d x","Not used",1,"int(x/(a*x^4 - b)^(1/2), x)","F"
412,1,49,33,0.411916,"\text{Not used}","int(((x^3 + 1)^(2/3)*(2*x^6 - x^3 + 1))/x^12,x)","\frac{9\,{\left(x^3+1\right)}^{2/3}}{88\,x^8}-\frac{71\,{\left(x^3+1\right)}^{2/3}}{220\,x^5}-\frac{227\,{\left(x^3+1\right)}^{2/3}}{440\,x^2}-\frac{{\left(x^3+1\right)}^{2/3}}{11\,x^{11}}","Not used",1,"(9*(x^3 + 1)^(2/3))/(88*x^8) - (71*(x^3 + 1)^(2/3))/(220*x^5) - (227*(x^3 + 1)^(2/3))/(440*x^2) - (x^3 + 1)^(2/3)/(11*x^11)","B"
413,1,75,33,3.242782,"\text{Not used}","int(-((x - x^5)^(1/2)*(x^4 + 3))/(2*x^4 + x^6 - x^8 - 1),x)","\frac{\ln\left(\frac{2\,x\,\sqrt{x-x^5}+x^3-x^4+1}{x^4+x^3-1}\right)}{2}+\frac{\ln\left(\frac{x^3+x^4-1+x\,\sqrt{x-x^5}\,2{}\mathrm{i}}{-x^4+x^3+1}\right)\,1{}\mathrm{i}}{2}","Not used",1,"log((2*x*(x - x^5)^(1/2) + x^3 - x^4 + 1)/(x^3 + x^4 - 1))/2 + (log((x*(x - x^5)^(1/2)*2i + x^3 + x^4 - 1)/(x^3 - x^4 + 1))*1i)/2","B"
414,1,29,33,0.341662,"\text{Not used}","int((x^16 - 1)/(x^8*(x^4 - 1)^(1/2)),x)","-\frac{\sqrt{x^4-1}\,\left(-3\,x^{12}-5\,x^8+5\,x^4+3\right)}{21\,x^7}","Not used",1,"-((x^4 - 1)^(1/2)*(5*x^4 - 5*x^8 - 3*x^12 + 3))/(21*x^7)","B"
415,1,15,33,0.277838,"\text{Not used}","int(((x - 1)^(3/2) + (x + 1)^(3/2))/((x - 1)^(3/2)*(x + 1)^(3/2)),x)","-\frac{2}{\sqrt{x-1}}-\frac{2}{\sqrt{x+1}}","Not used",1,"- 2/(x - 1)^(1/2) - 2/(x + 1)^(1/2)","B"
416,1,179,34,0.322158,"\text{Not used}","int((x + 1)/((x - 1)*(x + x^2 + x^3)^(1/2)),x)","\frac{\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\left(\sqrt{3}+1{}\mathrm{i}\right)\,\left(\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)-2\,\Pi \left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)\right)\,1{}\mathrm{i}}{\sqrt{x^3+x^2-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,x}}","Not used",1,"((x/((3^(1/2)*1i)/2 - 1/2))^(1/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 1/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 1/2))^(1/2)*(3^(1/2) + 1i)*(ellipticF(asin((x/((3^(1/2)*1i)/2 - 1/2))^(1/2)), -((3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 + 1/2)) - 2*ellipticPi((3^(1/2)*1i)/2 - 1/2, asin((x/((3^(1/2)*1i)/2 - 1/2))^(1/2)), -((3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 + 1/2)))*1i)/(x^2 + x^3 - x*((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2)","B"
417,1,227,34,0.082288,"\text{Not used}","int((x^2 - 1)/((x^2 - x + 1)*(x + x^2 + x^3)^(1/2)),x)","-\frac{\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\left(\sqrt{3}+1{}\mathrm{i}\right)\,\left(-\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)+\Pi \left(\frac{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}};\mathrm{asin}\left(\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)+\Pi \left(-1;\mathrm{asin}\left(\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)\right)\,1{}\mathrm{i}}{\sqrt{x^3+x^2-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,x}}","Not used",1,"-((x/((3^(1/2)*1i)/2 - 1/2))^(1/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 1/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 1/2))^(1/2)*(3^(1/2) + 1i)*(ellipticPi(((3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 + 1/2), asin((x/((3^(1/2)*1i)/2 - 1/2))^(1/2)), -((3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 + 1/2)) - ellipticF(asin((x/((3^(1/2)*1i)/2 - 1/2))^(1/2)), -((3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 + 1/2)) + ellipticPi(-1, asin((x/((3^(1/2)*1i)/2 - 1/2))^(1/2)), -((3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 + 1/2)))*1i)/(x^2 + x^3 - x*((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2)","B"
418,0,-1,34,0.000000,"\text{Not used}","int((x - 1)/((x^4 + 1)^(1/2)*(x + 1)),x)","\int \frac{x-1}{\sqrt{x^4+1}\,\left(x+1\right)} \,d x","Not used",1,"int((x - 1)/((x^4 + 1)^(1/2)*(x + 1)), x)","F"
419,0,-1,34,0.000000,"\text{Not used}","int((x + 1)/((x^4 + 1)^(1/2)*(x - 1)),x)","\int \frac{x+1}{\sqrt{x^4+1}\,\left(x-1\right)} \,d x","Not used",1,"int((x + 1)/((x^4 + 1)^(1/2)*(x - 1)), x)","F"
420,0,-1,34,0.000000,"\text{Not used}","int((x + 1)/((x - 1)*(x^2 + x^4 + 1)^(1/2)),x)","\int \frac{x+1}{\left(x-1\right)\,\sqrt{x^4+x^2+1}} \,d x","Not used",1,"int((x + 1)/((x - 1)*(x^2 + x^4 + 1)^(1/2)), x)","F"
421,0,-1,34,0.000000,"\text{Not used}","int((x^2 + 1)/((x^2 - 1)*(x^3 - x^2 - x + x^4 + 1)^(1/2)),x)","\int \frac{x^2+1}{\left(x^2-1\right)\,\sqrt{x^4+x^3-x^2-x+1}} \,d x","Not used",1,"int((x^2 + 1)/((x^2 - 1)*(x^3 - x^2 - x + x^4 + 1)^(1/2)), x)","F"
422,0,-1,34,0.000000,"\text{Not used}","int(x/(2*x^3 - 3*x^2 - 11*x + x^4 + 11)^(1/2),x)","\int \frac{x}{\sqrt{x^4+2\,x^3-3\,x^2-11\,x+11}} \,d x","Not used",1,"int(x/(2*x^3 - 3*x^2 - 11*x + x^4 + 11)^(1/2), x)","F"
423,0,-1,34,0.000000,"\text{Not used}","int((x + 1)/(2*x^3 - 3*x^2 - 5*x + x^4 + 2)^(1/2),x)","\int \frac{x+1}{\sqrt{x^4+2\,x^3-3\,x^2-5\,x+2}} \,d x","Not used",1,"int((x + 1)/(2*x^3 - 3*x^2 - 5*x + x^4 + 2)^(1/2), x)","F"
424,0,-1,34,0.000000,"\text{Not used}","int(x/(3*x - 3*x^2 + 2*x^3 + x^4 - 3)^(1/2),x)","\int \frac{x}{\sqrt{x^4+2\,x^3-3\,x^2+3\,x-3}} \,d x","Not used",1,"int(x/(3*x - 3*x^2 + 2*x^3 + x^4 - 3)^(1/2), x)","F"
425,0,-1,34,0.000000,"\text{Not used}","int(((1 - x^6)^(1/2)*(x^6 + 2))/(x^3*(x^4 + x^6 - 1)),x)","\int \frac{\sqrt{1-x^6}\,\left(x^6+2\right)}{x^3\,\left(x^6+x^4-1\right)} \,d x","Not used",1,"int(((1 - x^6)^(1/2)*(x^6 + 2))/(x^3*(x^4 + x^6 - 1)), x)","F"
426,0,-1,35,0.000000,"\text{Not used}","int(x^(1/2)/(x^2 - 2)^(3/4),x)","\int \frac{\sqrt{x}}{{\left(x^2-2\right)}^{3/4}} \,d x","Not used",1,"int(x^(1/2)/(x^2 - 2)^(3/4), x)","F"
427,1,31,35,0.610202,"\text{Not used}","int((a + x)/((2*b + 2*a*x + x^2)^(1/4)*(2*b + 2*a*x + x^2 - 1)),x)","\mathrm{atan}\left({\left(x^2+2\,a\,x+2\,b\right)}^{1/4}\right)-\mathrm{atanh}\left({\left(x^2+2\,a\,x+2\,b\right)}^{1/4}\right)","Not used",1,"atan((2*b + 2*a*x + x^2)^(1/4)) - atanh((2*b + 2*a*x + x^2)^(1/4))","B"
428,1,29,35,0.280270,"\text{Not used}","int(1/(c + b*x + a*x^2)^(1/2),x)","\frac{\ln\left(\frac{\frac{b}{2}+a\,x}{\sqrt{a}}+\sqrt{a\,x^2+b\,x+c}\right)}{\sqrt{a}}","Not used",1,"log((b/2 + a*x)/a^(1/2) + (c + b*x + a*x^2)^(1/2))/a^(1/2)","B"
429,1,31,35,0.236371,"\text{Not used}","int(x^11*(x^3 - 1)^(1/3),x)","-{\left(x^3-1\right)}^{1/3}\,\left(-\frac{x^{12}}{13}+\frac{x^9}{130}+\frac{9\,x^6}{910}+\frac{27\,x^3}{1820}+\frac{81}{1820}\right)","Not used",1,"-(x^3 - 1)^(1/3)*((27*x^3)/1820 + (9*x^6)/910 + x^9/130 - x^12/13 + 81/1820)","B"
430,1,175,35,0.218605,"\text{Not used}","int(-(2*x - x^2 + 1)/((x^3 - x)^(1/2)*(2*x + 3*x^2 + 1)),x)","-\frac{2\,\sqrt{-x}\,\sqrt{1-x}\,\sqrt{x+1}\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{-x}\right)\middle|-1\right)}{3\,\sqrt{x^3-x}}-\frac{\sqrt{2}\,\sqrt{-x}\,\left(-\frac{4}{9}+\frac{\sqrt{2}\,8{}\mathrm{i}}{9}\right)\,\sqrt{1-x}\,\sqrt{x+1}\,\Pi \left(\frac{1}{\frac{1}{3}+\frac{\sqrt{2}\,1{}\mathrm{i}}{3}};\mathrm{asin}\left(\sqrt{-x}\right)\middle|-1\right)\,1{}\mathrm{i}}{2\,\sqrt{x^3-x}\,\left(\frac{1}{3}+\frac{\sqrt{2}\,1{}\mathrm{i}}{3}\right)}+\frac{\sqrt{2}\,\sqrt{-x}\,\left(\frac{4}{9}+\frac{\sqrt{2}\,8{}\mathrm{i}}{9}\right)\,\sqrt{1-x}\,\sqrt{x+1}\,\Pi \left(-\frac{1}{-\frac{1}{3}+\frac{\sqrt{2}\,1{}\mathrm{i}}{3}};\mathrm{asin}\left(\sqrt{-x}\right)\middle|-1\right)\,1{}\mathrm{i}}{2\,\sqrt{x^3-x}\,\left(-\frac{1}{3}+\frac{\sqrt{2}\,1{}\mathrm{i}}{3}\right)}","Not used",1,"(2^(1/2)*(-x)^(1/2)*((2^(1/2)*8i)/9 + 4/9)*(1 - x)^(1/2)*(x + 1)^(1/2)*ellipticPi(-1/((2^(1/2)*1i)/3 - 1/3), asin((-x)^(1/2)), -1)*1i)/(2*(x^3 - x)^(1/2)*((2^(1/2)*1i)/3 - 1/3)) - (2^(1/2)*(-x)^(1/2)*((2^(1/2)*8i)/9 - 4/9)*(1 - x)^(1/2)*(x + 1)^(1/2)*ellipticPi(1/((2^(1/2)*1i)/3 + 1/3), asin((-x)^(1/2)), -1)*1i)/(2*(x^3 - x)^(1/2)*((2^(1/2)*1i)/3 + 1/3)) - (2*(-x)^(1/2)*(1 - x)^(1/2)*(x + 1)^(1/2)*ellipticF(asin((-x)^(1/2)), -1))/(3*(x^3 - x)^(1/2))","B"
431,1,33,35,0.285999,"\text{Not used}","int(((x^2 - 1)*(- 4*x - 5*x^2 - 4*x^3 - x^4 - 1)^(1/2))/((3*x + x^2 + 1)^2*(x + x^2 + 1)),x)","\frac{\sqrt{-x^4-4\,x^3-5\,x^2-4\,x-1}}{x^2+3\,x+1}","Not used",1,"(- 4*x - 5*x^2 - 4*x^3 - x^4 - 1)^(1/2)/(3*x + x^2 + 1)","B"
432,1,19,35,0.392807,"\text{Not used}","int((x^4 - 1)/(x^3*(x^4 + 1)^(1/2)),x)","\frac{\mathrm{asinh}\left(x^2\right)}{2}+\frac{\sqrt{x^4+1}}{2\,x^2}","Not used",1,"asinh(x^2)/2 + (x^4 + 1)^(1/2)/(2*x^2)","B"
433,1,31,35,0.305683,"\text{Not used}","int((x^3 - 1)/(x^6*(x^3 + 1)*(x + x^4)^(1/4)),x)","-\frac{4\,{\left(x^4+x\right)}^{3/4}\,\left(20\,x^6+5\,x^3-1\right)}{21\,x^6\,\left(x^3+1\right)}","Not used",1,"-(4*(x + x^4)^(3/4)*(5*x^3 + 20*x^6 - 1))/(21*x^6*(x^3 + 1))","B"
434,0,-1,35,0.000000,"\text{Not used}","int((x + x^4)^(1/2)/x^3,x)","\int \frac{\sqrt{x^4+x}}{x^3} \,d x","Not used",1,"int((x + x^4)^(1/2)/x^3, x)","F"
435,1,57,35,0.254428,"\text{Not used}","int(1/(x^8*(x^2 + x^4)^(1/4)),x)","\frac{256\,{\left(x^4+x^2\right)}^{3/4}}{1155\,x^3}-\frac{64\,{\left(x^4+x^2\right)}^{3/4}}{385\,x^5}+\frac{8\,{\left(x^4+x^2\right)}^{3/4}}{55\,x^7}-\frac{2\,{\left(x^4+x^2\right)}^{3/4}}{15\,x^9}","Not used",1,"(256*(x^2 + x^4)^(3/4))/(1155*x^3) - (64*(x^2 + x^4)^(3/4))/(385*x^5) + (8*(x^2 + x^4)^(3/4))/(55*x^7) - (2*(x^2 + x^4)^(3/4))/(15*x^9)","B"
436,0,-1,35,0.000000,"\text{Not used}","int(-(2*x - 1)/(5*x - 4*x^2 - 2*x^3 + x^4 + 5)^(1/2),x)","\int -\frac{2\,x-1}{\sqrt{x^4-2\,x^3-4\,x^2+5\,x+5}} \,d x","Not used",1,"int(-(2*x - 1)/(5*x - 4*x^2 - 2*x^3 + x^4 + 5)^(1/2), x)","F"
437,1,65,35,0.218723,"\text{Not used}","int(1/(x^4*(x^4 - x^3)^(1/4)),x)","\frac{512\,{\left(x^4-x^3\right)}^{3/4}}{1155\,x^3}+\frac{128\,{\left(x^4-x^3\right)}^{3/4}}{385\,x^4}+\frac{16\,{\left(x^4-x^3\right)}^{3/4}}{55\,x^5}+\frac{4\,{\left(x^4-x^3\right)}^{3/4}}{15\,x^6}","Not used",1,"(512*(x^4 - x^3)^(3/4))/(1155*x^3) + (128*(x^4 - x^3)^(3/4))/(385*x^4) + (16*(x^4 - x^3)^(3/4))/(55*x^5) + (4*(x^4 - x^3)^(3/4))/(15*x^6)","B"
438,0,-1,35,0.000000,"\text{Not used}","int((2*x + 1)/(2*x^3 - 2*x^2 - 3*x + x^4 - 4)^(1/2),x)","\int \frac{2\,x+1}{\sqrt{x^4+2\,x^3-2\,x^2-3\,x-4}} \,d x","Not used",1,"int((2*x + 1)/(2*x^3 - 2*x^2 - 3*x + x^4 - 4)^(1/2), x)","F"
439,0,-1,35,0.000000,"\text{Not used}","int(-(4*b + a*x^3)/((b + a*x^3)^(1/4)*(b + a*x^3 - x^4)),x)","\int -\frac{a\,x^3+4\,b}{{\left(a\,x^3+b\right)}^{1/4}\,\left(-x^4+a\,x^3+b\right)} \,d x","Not used",1,"int(-(4*b + a*x^3)/((b + a*x^3)^(1/4)*(b + a*x^3 - x^4)), x)","F"
440,0,-1,35,0.000000,"\text{Not used}","int(x^8/(x^6 - 1)^(1/2),x)","\int \frac{x^8}{\sqrt{x^6-1}} \,d x","Not used",1,"int(x^8/(x^6 - 1)^(1/2), x)","F"
441,0,-1,35,0.000000,"\text{Not used}","int((x^6 - 1)^(1/2)/x^4,x)","\int \frac{\sqrt{x^6-1}}{x^4} \,d x","Not used",1,"int((x^6 - 1)^(1/2)/x^4, x)","F"
442,0,-1,35,0.000000,"\text{Not used}","int(x^2*(x^6 - 1)^(1/2),x)","\int x^2\,\sqrt{x^6-1} \,d x","Not used",1,"int(x^2*(x^6 - 1)^(1/2), x)","F"
443,0,-1,35,0.000000,"\text{Not used}","int(x^8/(x^6 + 1)^(1/2),x)","\int \frac{x^8}{\sqrt{x^6+1}} \,d x","Not used",1,"int(x^8/(x^6 + 1)^(1/2), x)","F"
444,0,-1,35,0.000000,"\text{Not used}","int((x^6 + 1)^(1/2)/x^4,x)","\int \frac{\sqrt{x^6+1}}{x^4} \,d x","Not used",1,"int((x^6 + 1)^(1/2)/x^4, x)","F"
445,1,31,35,0.300699,"\text{Not used}","int((x^6 + 1)/(x^6*(x^3 + 1)*(x + x^4)^(1/4)),x)","\frac{4\,{\left(x^4+x\right)}^{3/4}\,\left(53\,x^6+8\,x^3-3\right)}{63\,x^6\,\left(x^3+1\right)}","Not used",1,"(4*(x + x^4)^(3/4)*(8*x^3 + 53*x^6 - 3))/(63*x^6*(x^3 + 1))","B"
446,0,-1,35,0.000000,"\text{Not used}","int(x*(x + x^6)^(1/2),x)","\int x\,\sqrt{x^6+x} \,d x","Not used",1,"int(x*(x + x^6)^(1/2), x)","F"
447,0,-1,35,0.000000,"\text{Not used}","int(-(2*b*c - a*c*x^6)/((b + a*x^6)^(1/4)*(b + a*x^6 - c^4*x^4)),x)","\int -\frac{2\,b\,c-a\,c\,x^6}{{\left(a\,x^6+b\right)}^{1/4}\,\left(-c^4\,x^4+a\,x^6+b\right)} \,d x","Not used",1,"int(-(2*b*c - a*c*x^6)/((b + a*x^6)^(1/4)*(b + a*x^6 - c^4*x^4)), x)","F"
448,0,-1,35,0.000000,"\text{Not used}","int(1/(x + (x^2 + 1)^(1/2))^(1/2),x)","\int \frac{1}{\sqrt{x+\sqrt{x^2+1}}} \,d x","Not used",1,"int(1/(x + (x^2 + 1)^(1/2))^(1/2), x)","F"
449,1,30,36,0.250270,"\text{Not used}","int((x^2 + 1)^(1/4)/x,x)","2\,{\left(x^2+1\right)}^{1/4}-\mathrm{atanh}\left({\left(x^2+1\right)}^{1/4}\right)-\mathrm{atan}\left({\left(x^2+1\right)}^{1/4}\right)","Not used",1,"2*(x^2 + 1)^(1/4) - atanh((x^2 + 1)^(1/4)) - atan((x^2 + 1)^(1/4))","B"
450,1,189,36,0.073877,"\text{Not used}","int((x^3 - 1)^(1/2)/x^7,x)","\frac{\sqrt{x^3-1}}{12\,x^3}-\frac{\sqrt{x^3-1}}{6\,x^6}-\frac{\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{4\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(x^3 - 1)^(1/2)/(12*x^3) - (x^3 - 1)^(1/2)/(6*x^6) - (((3^(1/2)*1i)/2 + 3/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi((3^(1/2)*1i)/2 + 3/2, asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(4*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2))","B"
451,1,51,36,2.250914,"\text{Not used}","int(-(b - a*x^2)/((b*x + a*x^3)^(1/2)*(b + c*x + a*x^2)),x)","\frac{\ln\left(\frac{\frac{b}{2}-\frac{c\,x}{2}+\frac{a\,x^2}{2}+\sqrt{c}\,\sqrt{a\,x^3+b\,x}\,1{}\mathrm{i}}{a\,x^2+c\,x+b}\right)\,1{}\mathrm{i}}{\sqrt{c}}","Not used",1,"(log((b/2 - (c*x)/2 + (a*x^2)/2 + c^(1/2)*(b*x + a*x^3)^(1/2)*1i)/(b + c*x + a*x^2))*1i)/c^(1/2)","B"
452,0,-1,36,0.000000,"\text{Not used}","int((x - 1)/(6*x^2 - x - 4*x^3 + x^4 - 2)^(1/2),x)","\int \frac{x-1}{\sqrt{x^4-4\,x^3+6\,x^2-x-2}} \,d x","Not used",1,"int((x - 1)/(6*x^2 - x - 4*x^3 + x^4 - 2)^(1/2), x)","F"
453,1,35,36,0.436526,"\text{Not used}","int((x^6 - 1)^(1/2)/x^13,x)","\frac{\mathrm{atan}\left(\sqrt{x^6-1}\right)}{24}-\frac{\frac{\sqrt{x^6-1}}{24}-\frac{{\left(x^6-1\right)}^{3/2}}{24}}{x^{12}}","Not used",1,"atan((x^6 - 1)^(1/2))/24 - ((x^6 - 1)^(1/2)/24 - (x^6 - 1)^(3/2)/24)/x^12","B"
454,0,-1,36,0.000000,"\text{Not used}","int(-(2*x^2 - 2*x^4 + 1)/((x^6 + 1)^(1/2)*(x^4 - 3*x^2 + 2)),x)","\int -\frac{-2\,x^4+2\,x^2+1}{\sqrt{x^6+1}\,\left(x^4-3\,x^2+2\right)} \,d x","Not used",1,"int(-(2*x^2 - 2*x^4 + 1)/((x^6 + 1)^(1/2)*(x^4 - 3*x^2 + 2)), x)","F"
455,-1,-1,37,0.000000,"\text{Not used}","int((k*x - 1)/((k*x + 1)*(x*(k^2*x - 1)*(x - 1))^(1/2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
456,-1,-1,37,0.000000,"\text{Not used}","int((k*x + 1)/((k*x - 1)*(x*(k^2*x - 1)*(x - 1))^(1/2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
457,0,-1,37,0.000000,"\text{Not used}","int(((x^2 - 1)*(x^4 + 1)^(1/2))/(x^2*(x^2 + 1)),x)","\int \frac{\left(x^2-1\right)\,\sqrt{x^4+1}}{x^2\,\left(x^2+1\right)} \,d x","Not used",1,"int(((x^2 - 1)*(x^4 + 1)^(1/2))/(x^2*(x^2 + 1)), x)","F"
458,1,33,37,0.325649,"\text{Not used}","int((x^3 + 1)/(x^6*(x^4 - x)^(1/4)*(x^3 - 1)),x)","\frac{4\,{\left(x^4-x\right)}^{3/4}\,\left(-20\,x^6+5\,x^3+1\right)}{21\,x^6\,\left(x^3-1\right)}","Not used",1,"(4*(x^4 - x)^(3/4)*(5*x^3 - 20*x^6 + 1))/(21*x^6*(x^3 - 1))","B"
459,1,29,37,0.301348,"\text{Not used}","int((x^4 - x)^(1/2),x)","\frac{2\,x\,\sqrt{x^4-x}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{2},\frac{1}{2};\ \frac{3}{2};\ x^3\right)}{3\,\sqrt{1-x^3}}","Not used",1,"(2*x*(x^4 - x)^(1/2)*hypergeom([-1/2, 1/2], 3/2, x^3))/(3*(1 - x^3)^(1/2))","B"
460,1,65,37,0.292661,"\text{Not used}","int(1/(x^8*(x^4 - x^2)^(1/4)),x)","\frac{256\,{\left(x^4-x^2\right)}^{3/4}}{1155\,x^3}+\frac{64\,{\left(x^4-x^2\right)}^{3/4}}{385\,x^5}+\frac{8\,{\left(x^4-x^2\right)}^{3/4}}{55\,x^7}+\frac{2\,{\left(x^4-x^2\right)}^{3/4}}{15\,x^9}","Not used",1,"(256*(x^4 - x^2)^(3/4))/(1155*x^3) + (64*(x^4 - x^2)^(3/4))/(385*x^5) + (8*(x^4 - x^2)^(3/4))/(55*x^7) + (2*(x^4 - x^2)^(3/4))/(15*x^9)","B"
461,0,-1,37,0.000000,"\text{Not used}","int((x - 1)/(4*x + 2*x^2 - 4*x^3 + x^4 - 1)^(1/2),x)","\int \frac{x-1}{\sqrt{x^4-4\,x^3+2\,x^2+4\,x-1}} \,d x","Not used",1,"int((x - 1)/(4*x + 2*x^2 - 4*x^3 + x^4 - 1)^(1/2), x)","F"
462,0,-1,37,0.000000,"\text{Not used}","int((x^4 - x^3)^(1/4)/(x*(x - 1)),x)","\int \frac{{\left(x^4-x^3\right)}^{1/4}}{x\,\left(x-1\right)} \,d x","Not used",1,"int((x^4 - x^3)^(1/4)/(x*(x - 1)), x)","F"
463,1,25,37,0.748743,"\text{Not used}","int((x^3 - 2)/(x*(x^6 - 1)^(1/2)),x)","\frac{\ln\left(\sqrt{x^6-1}+x^3\right)}{3}-\frac{2\,\mathrm{atan}\left(\sqrt{x^6-1}\right)}{3}","Not used",1,"log((x^6 - 1)^(1/2) + x^3)/3 - (2*atan((x^6 - 1)^(1/2)))/3","B"
464,1,25,37,0.289556,"\text{Not used}","int((x^3 + 1)/(x*(x^6 - 1)^(1/2)),x)","\frac{\ln\left(\sqrt{x^6-1}+x^3\right)}{3}+\frac{\mathrm{atan}\left(\sqrt{x^6-1}\right)}{3}","Not used",1,"log((x^6 - 1)^(1/2) + x^3)/3 + atan((x^6 - 1)^(1/2))/3","B"
465,1,25,37,0.492907,"\text{Not used}","int((2*x^3 - 1)/(x*(x^6 - 1)^(1/2)),x)","\frac{2\,\ln\left(\sqrt{x^6-1}+x^3\right)}{3}-\frac{\mathrm{atan}\left(\sqrt{x^6-1}\right)}{3}","Not used",1,"(2*log((x^6 - 1)^(1/2) + x^3))/3 - atan((x^6 - 1)^(1/2))/3","B"
466,1,25,37,0.293023,"\text{Not used}","int((2*x^3 + 1)/(x*(x^6 - 1)^(1/2)),x)","\frac{2\,\ln\left(\sqrt{x^6-1}+x^3\right)}{3}+\frac{\mathrm{atan}\left(\sqrt{x^6-1}\right)}{3}","Not used",1,"(2*log((x^6 - 1)^(1/2) + x^3))/3 + atan((x^6 - 1)^(1/2))/3","B"
467,1,25,37,0.549391,"\text{Not used}","int((4*x^3 + 1)/(x*(x^6 - 1)^(1/2)),x)","\frac{4\,\ln\left(\sqrt{x^6-1}+x^3\right)}{3}+\frac{\mathrm{atan}\left(\sqrt{x^6-1}\right)}{3}","Not used",1,"(4*log((x^6 - 1)^(1/2) + x^3))/3 + atan((x^6 - 1)^(1/2))/3","B"
468,1,33,37,0.422225,"\text{Not used}","int((x^6 + 1)/(x^6*(x^4 - x)^(1/4)*(x^3 - 1)),x)","\frac{4\,{\left(x^4-x\right)}^{3/4}\,\left(-53\,x^6+8\,x^3+3\right)}{63\,x^6\,\left(x^3-1\right)}","Not used",1,"(4*(x^4 - x)^(3/4)*(8*x^3 - 53*x^6 + 3))/(63*x^6*(x^3 - 1))","B"
469,0,-1,37,0.000000,"\text{Not used}","int(-(x*(8*b + 5*a*x^3))/((b + a*x^3)^(1/4)*(b + a*x^3 - x^8)),x)","\int -\frac{x\,\left(5\,a\,x^3+8\,b\right)}{{\left(a\,x^3+b\right)}^{1/4}\,\left(-x^8+a\,x^3+b\right)} \,d x","Not used",1,"int(-(x*(8*b + 5*a*x^3))/((b + a*x^3)^(1/4)*(b + a*x^3 - x^8)), x)","F"
470,0,-1,37,0.000000,"\text{Not used}","int((x + (x^2 + 1)^(1/2))^(1/2),x)","\int \sqrt{x+\sqrt{x^2+1}} \,d x","Not used",1,"int((x + (x^2 + 1)^(1/2))^(1/2), x)","F"
471,1,532,38,0.337043,"\text{Not used}","int((a*b - x^2)/((x*(a - x)*(b - x))^(1/2)*(a*b - x*(a + b + d) + x^2)),x)","\frac{2\,b\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{b-x}{b}}\right)\middle|-\frac{b}{a-b}\right)\,\sqrt{\frac{x}{b}}\,\sqrt{\frac{b-x}{b}}\,\sqrt{\frac{a-x}{a-b}}}{\sqrt{x^3+\left(-a-b\right)\,x^2+a\,b\,x}}-\frac{2\,b\,\sqrt{\frac{x}{b}}\,\sqrt{\frac{b-x}{b}}\,\sqrt{\frac{a-x}{a-b}}\,\left(2\,a\,b-\left(a+b+d\right)\,\left(\frac{a}{2}+\frac{b}{2}+\frac{d}{2}-\frac{\sqrt{a^2-2\,a\,b+2\,a\,d+b^2+2\,b\,d+d^2}}{2}\right)\right)\,\Pi \left(-\frac{b}{\frac{a}{2}-\frac{b}{2}+\frac{d}{2}-\frac{\sqrt{a^2-2\,a\,b+2\,a\,d+b^2+2\,b\,d+d^2}}{2}};\mathrm{asin}\left(\sqrt{\frac{b-x}{b}}\right)\middle|-\frac{b}{a-b}\right)}{\sqrt{x^3+\left(-a-b\right)\,x^2+a\,b\,x}\,\left(\frac{a}{2}-\frac{b}{2}+\frac{d}{2}-\frac{\sqrt{a^2-2\,a\,b+2\,a\,d+b^2+2\,b\,d+d^2}}{2}\right)\,\sqrt{a^2-2\,a\,b+2\,a\,d+b^2+2\,b\,d+d^2}}+\frac{2\,b\,\sqrt{\frac{x}{b}}\,\sqrt{\frac{b-x}{b}}\,\sqrt{\frac{a-x}{a-b}}\,\left(2\,a\,b-\left(a+b+d\right)\,\left(\frac{a}{2}+\frac{b}{2}+\frac{d}{2}+\frac{\sqrt{a^2-2\,a\,b+2\,a\,d+b^2+2\,b\,d+d^2}}{2}\right)\right)\,\Pi \left(-\frac{b}{\frac{a}{2}-\frac{b}{2}+\frac{d}{2}+\frac{\sqrt{a^2-2\,a\,b+2\,a\,d+b^2+2\,b\,d+d^2}}{2}};\mathrm{asin}\left(\sqrt{\frac{b-x}{b}}\right)\middle|-\frac{b}{a-b}\right)}{\sqrt{x^3+\left(-a-b\right)\,x^2+a\,b\,x}\,\left(\frac{a}{2}-\frac{b}{2}+\frac{d}{2}+\frac{\sqrt{a^2-2\,a\,b+2\,a\,d+b^2+2\,b\,d+d^2}}{2}\right)\,\sqrt{a^2-2\,a\,b+2\,a\,d+b^2+2\,b\,d+d^2}}","Not used",1,"(2*b*ellipticF(asin(((b - x)/b)^(1/2)), -b/(a - b))*(x/b)^(1/2)*((b - x)/b)^(1/2)*((a - x)/(a - b))^(1/2))/(x^3 - x^2*(a + b) + a*b*x)^(1/2) - (2*b*(x/b)^(1/2)*((b - x)/b)^(1/2)*((a - x)/(a - b))^(1/2)*(2*a*b - (a + b + d)*(a/2 + b/2 + d/2 - (2*a*d - 2*a*b + 2*b*d + a^2 + b^2 + d^2)^(1/2)/2))*ellipticPi(-b/(a/2 - b/2 + d/2 - (2*a*d - 2*a*b + 2*b*d + a^2 + b^2 + d^2)^(1/2)/2), asin(((b - x)/b)^(1/2)), -b/(a - b)))/((x^3 - x^2*(a + b) + a*b*x)^(1/2)*(a/2 - b/2 + d/2 - (2*a*d - 2*a*b + 2*b*d + a^2 + b^2 + d^2)^(1/2)/2)*(2*a*d - 2*a*b + 2*b*d + a^2 + b^2 + d^2)^(1/2)) + (2*b*(x/b)^(1/2)*((b - x)/b)^(1/2)*((a - x)/(a - b))^(1/2)*(2*a*b - (a + b + d)*(a/2 + b/2 + d/2 + (2*a*d - 2*a*b + 2*b*d + a^2 + b^2 + d^2)^(1/2)/2))*ellipticPi(-b/(a/2 - b/2 + d/2 + (2*a*d - 2*a*b + 2*b*d + a^2 + b^2 + d^2)^(1/2)/2), asin(((b - x)/b)^(1/2)), -b/(a - b)))/((x^3 - x^2*(a + b) + a*b*x)^(1/2)*(a/2 - b/2 + d/2 + (2*a*d - 2*a*b + 2*b*d + a^2 + b^2 + d^2)^(1/2)/2)*(2*a*d - 2*a*b + 2*b*d + a^2 + b^2 + d^2)^(1/2))","B"
472,1,531,38,0.353680,"\text{Not used}","int((a*b - x^2)/((d*x^2 - x*(a*d + b*d + 1) + a*b*d)*(x*(a - x)*(b - x))^(1/2)),x)","\frac{2\,b\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{b-x}{b}}\right)\middle|-\frac{b}{a-b}\right)\,\sqrt{\frac{x}{b}}\,\sqrt{\frac{b-x}{b}}\,\sqrt{\frac{a-x}{a-b}}}{d\,\sqrt{x^3+\left(-a-b\right)\,x^2+a\,b\,x}}+\frac{b\,\sqrt{\frac{x}{b}}\,\sqrt{\frac{b-x}{b}}\,\sqrt{\frac{a-x}{a-b}}\,\Pi \left(\frac{b}{b-\frac{a\,d+b\,d+\sqrt{a^2\,d^2-2\,a\,b\,d^2+2\,a\,d+b^2\,d^2+2\,b\,d+1}+1}{2\,d}};\mathrm{asin}\left(\sqrt{\frac{b-x}{b}}\right)\middle|-\frac{b}{a-b}\right)\,\left(a\,d+b\,d+\sqrt{a^2\,d^2-2\,a\,b\,d^2+2\,a\,d+b^2\,d^2+2\,b\,d+1}+1\right)}{d^2\,\left(b-\frac{a\,d+b\,d+\sqrt{a^2\,d^2-2\,a\,b\,d^2+2\,a\,d+b^2\,d^2+2\,b\,d+1}+1}{2\,d}\right)\,\sqrt{x^3+\left(-a-b\right)\,x^2+a\,b\,x}}+\frac{b\,\sqrt{\frac{x}{b}}\,\sqrt{\frac{b-x}{b}}\,\sqrt{\frac{a-x}{a-b}}\,\Pi \left(\frac{b}{b-\frac{a\,d+b\,d-\sqrt{a^2\,d^2-2\,a\,b\,d^2+2\,a\,d+b^2\,d^2+2\,b\,d+1}+1}{2\,d}};\mathrm{asin}\left(\sqrt{\frac{b-x}{b}}\right)\middle|-\frac{b}{a-b}\right)\,\left(a\,d+b\,d-\sqrt{a^2\,d^2-2\,a\,b\,d^2+2\,a\,d+b^2\,d^2+2\,b\,d+1}+1\right)}{d^2\,\left(b-\frac{a\,d+b\,d-\sqrt{a^2\,d^2-2\,a\,b\,d^2+2\,a\,d+b^2\,d^2+2\,b\,d+1}+1}{2\,d}\right)\,\sqrt{x^3+\left(-a-b\right)\,x^2+a\,b\,x}}","Not used",1,"(2*b*ellipticF(asin(((b - x)/b)^(1/2)), -b/(a - b))*(x/b)^(1/2)*((b - x)/b)^(1/2)*((a - x)/(a - b))^(1/2))/(d*(x^3 - x^2*(a + b) + a*b*x)^(1/2)) + (b*(x/b)^(1/2)*((b - x)/b)^(1/2)*((a - x)/(a - b))^(1/2)*ellipticPi(b/(b - (a*d + b*d + (2*a*d + 2*b*d + a^2*d^2 + b^2*d^2 - 2*a*b*d^2 + 1)^(1/2) + 1)/(2*d)), asin(((b - x)/b)^(1/2)), -b/(a - b))*(a*d + b*d + (2*a*d + 2*b*d + a^2*d^2 + b^2*d^2 - 2*a*b*d^2 + 1)^(1/2) + 1))/(d^2*(b - (a*d + b*d + (2*a*d + 2*b*d + a^2*d^2 + b^2*d^2 - 2*a*b*d^2 + 1)^(1/2) + 1)/(2*d))*(x^3 - x^2*(a + b) + a*b*x)^(1/2)) + (b*(x/b)^(1/2)*((b - x)/b)^(1/2)*((a - x)/(a - b))^(1/2)*ellipticPi(b/(b - (a*d + b*d - (2*a*d + 2*b*d + a^2*d^2 + b^2*d^2 - 2*a*b*d^2 + 1)^(1/2) + 1)/(2*d)), asin(((b - x)/b)^(1/2)), -b/(a - b))*(a*d + b*d - (2*a*d + 2*b*d + a^2*d^2 + b^2*d^2 - 2*a*b*d^2 + 1)^(1/2) + 1))/(d^2*(b - (a*d + b*d - (2*a*d + 2*b*d + a^2*d^2 + b^2*d^2 - 2*a*b*d^2 + 1)^(1/2) + 1)/(2*d))*(x^3 - x^2*(a + b) + a*b*x)^(1/2))","B"
473,0,-1,38,0.000000,"\text{Not used}","int((k*x^2 - 1)/((k*x^2 + 1)*((x^2 - 1)*(k^2*x^2 - 1))^(1/2)),x)","\int \frac{k\,x^2-1}{\left(k\,x^2+1\right)\,\sqrt{\left(x^2-1\right)\,\left(k^2\,x^2-1\right)}} \,d x","Not used",1,"int((k*x^2 - 1)/((k*x^2 + 1)*((x^2 - 1)*(k^2*x^2 - 1))^(1/2)), x)","F"
474,0,-1,38,0.000000,"\text{Not used}","int((k*x^2 + 1)/((k*x^2 - 1)*((x^2 - 1)*(k^2*x^2 - 1))^(1/2)),x)","\int \frac{k\,x^2+1}{\left(k\,x^2-1\right)\,\sqrt{\left(x^2-1\right)\,\left(k^2\,x^2-1\right)}} \,d x","Not used",1,"int((k*x^2 + 1)/((k*x^2 - 1)*((x^2 - 1)*(k^2*x^2 - 1))^(1/2)), x)","F"
475,1,28,38,0.293120,"\text{Not used}","int((k^2*x^2 - 2*k^2*x + 1)/(x*(k^2*x - 1)*(x*(k^2*x - 1)*(x - 1))^(1/2)),x)","-\frac{2\,\sqrt{x\,\left(k^2\,x-1\right)\,\left(x-1\right)}}{x\,\left(k^2\,x-1\right)}","Not used",1,"-(2*(x*(k^2*x - 1)*(x - 1))^(1/2))/(x*(k^2*x - 1))","B"
476,1,189,38,0.200373,"\text{Not used}","int(1/(x^7*(x^3 - 1)^(1/2)),x)","\frac{\sqrt{x^3-1}}{4\,x^3}+\frac{\sqrt{x^3-1}}{6\,x^6}-\frac{3\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{4\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(x^3 - 1)^(1/2)/(4*x^3) + (x^3 - 1)^(1/2)/(6*x^6) - (3*((3^(1/2)*1i)/2 + 3/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi((3^(1/2)*1i)/2 + 3/2, asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(4*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2))","B"
477,1,189,38,0.069133,"\text{Not used}","int(1/(x^7*(x^3 + 1)^(1/2)),x)","\frac{\sqrt{x^3+1}}{4\,x^3}-\frac{\sqrt{x^3+1}}{6\,x^6}-\frac{3\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{4\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(x^3 + 1)^(1/2)/(4*x^3) - (x^3 + 1)^(1/2)/(6*x^6) - (3*((3^(1/2)*1i)/2 + 3/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi((3^(1/2)*1i)/2 + 3/2, asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(4*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2))","B"
478,1,189,38,0.062957,"\text{Not used}","int((x^3 + 1)^(1/2)/x^7,x)","-\frac{\sqrt{x^3+1}}{12\,x^3}-\frac{\sqrt{x^3+1}}{6\,x^6}+\frac{\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{4\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(((3^(1/2)*1i)/2 + 3/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi((3^(1/2)*1i)/2 + 3/2, asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(4*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2)) - (x^3 + 1)^(1/2)/(6*x^6) - (x^3 + 1)^(1/2)/(12*x^3)","B"
479,1,189,38,0.061789,"\text{Not used}","int((x^3 + 1)/(x^7*(x^3 - 1)^(1/2)),x)","\frac{7\,\sqrt{x^3-1}}{12\,x^3}+\frac{\sqrt{x^3-1}}{6\,x^6}-\frac{7\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{4\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(7*(x^3 - 1)^(1/2))/(12*x^3) + (x^3 - 1)^(1/2)/(6*x^6) - (7*((3^(1/2)*1i)/2 + 3/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi((3^(1/2)*1i)/2 + 3/2, asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(4*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2))","B"
480,1,56,38,0.821481,"\text{Not used}","int(-((x^3 - 1)^(1/2)*(x^3 + 2))/(x^2*(4*x^2 - 2*x^3 + 2)),x)","\frac{\sqrt{x^3-1}}{x}+\frac{\sqrt{2}\,\ln\left(\frac{2\,x^2+x^3-2\,\sqrt{2}\,x\,\sqrt{x^3-1}-1}{-8\,x^3+16\,x^2+8}\right)}{2}","Not used",1,"(x^3 - 1)^(1/2)/x + (2^(1/2)*log((2*x^2 + x^3 - 2*2^(1/2)*x*(x^3 - 1)^(1/2) - 1)/(16*x^2 - 8*x^3 + 8)))/2","B"
481,1,29,38,0.332504,"\text{Not used}","int(x^5*(b + a*x^3)^(1/2),x)","-\frac{10\,b\,{\left(a\,x^3+b\right)}^{3/2}-6\,{\left(a\,x^3+b\right)}^{5/2}}{45\,a^2}","Not used",1,"-(10*b*(b + a*x^3)^(3/2) - 6*(b + a*x^3)^(5/2))/(45*a^2)","B"
482,1,50,38,0.452280,"\text{Not used}","int(((x^4 + 1)^(1/3)*(x^4 - 3)*(x^3 + x^4 + 1))/x^8,x)","\left(\frac{3\,x}{7}+\frac{3}{4}\right)\,{\left(x^4+1\right)}^{1/3}+\frac{6\,{\left(x^4+1\right)}^{1/3}}{7\,x^3}+\frac{3\,{\left(x^4+1\right)}^{1/3}}{4\,x^4}+\frac{3\,{\left(x^4+1\right)}^{1/3}}{7\,x^7}","Not used",1,"((3*x)/7 + 3/4)*(x^4 + 1)^(1/3) + (6*(x^4 + 1)^(1/3))/(7*x^3) + (3*(x^4 + 1)^(1/3))/(4*x^4) + (3*(x^4 + 1)^(1/3))/(7*x^7)","B"
483,1,58,38,0.471344,"\text{Not used}","int(((x^4 + 1)^(2/3)*(x^4 - 3)*(x^3 + x^4 + 1))/x^9,x)","\frac{3\,{\left(x^4+1\right)}^{2/3}}{8}+\frac{3\,{\left(x^4+1\right)}^{2/3}}{5\,x}+\frac{3\,{\left(x^4+1\right)}^{2/3}}{4\,x^4}+\frac{3\,{\left(x^4+1\right)}^{2/3}}{5\,x^5}+\frac{3\,{\left(x^4+1\right)}^{2/3}}{8\,x^8}","Not used",1,"(3*(x^4 + 1)^(2/3))/8 + (3*(x^4 + 1)^(2/3))/(5*x) + (3*(x^4 + 1)^(2/3))/(4*x^4) + (3*(x^4 + 1)^(2/3))/(5*x^5) + (3*(x^4 + 1)^(2/3))/(8*x^8)","B"
484,1,58,38,0.543160,"\text{Not used}","int(-((x^4 - 1)^(2/3)*(x^4 + 3)*(x^3 - 2*x^4 + 2))/x^9,x)","\frac{3\,{\left(x^4-1\right)}^{2/3}}{4}-\frac{3\,{\left(x^4-1\right)}^{2/3}}{5\,x}-\frac{3\,{\left(x^4-1\right)}^{2/3}}{2\,x^4}+\frac{3\,{\left(x^4-1\right)}^{2/3}}{5\,x^5}+\frac{3\,{\left(x^4-1\right)}^{2/3}}{4\,x^8}","Not used",1,"(3*(x^4 - 1)^(2/3))/4 - (3*(x^4 - 1)^(2/3))/(5*x) - (3*(x^4 - 1)^(2/3))/(2*x^4) + (3*(x^4 - 1)^(2/3))/(5*x^5) + (3*(x^4 - 1)^(2/3))/(4*x^8)","B"
485,1,61,38,0.826287,"\text{Not used}","int(-((x^5 - 1)^(3/4)*(x^5 + 4)*(x^4 - x^5 + 1))/x^12,x)","\frac{4\,{\left(x^5-1\right)}^{3/4}}{11\,x}-\frac{4\,{\left(x^5-1\right)}^{3/4}}{7\,x^2}-\frac{8\,{\left(x^5-1\right)}^{3/4}}{11\,x^6}+\frac{4\,{\left(x^5-1\right)}^{3/4}}{7\,x^7}+\frac{4\,{\left(x^5-1\right)}^{3/4}}{11\,x^{11}}","Not used",1,"(4*(x^5 - 1)^(3/4))/(11*x) - (4*(x^5 - 1)^(3/4))/(7*x^2) - (8*(x^5 - 1)^(3/4))/(11*x^6) + (4*(x^5 - 1)^(3/4))/(7*x^7) + (4*(x^5 - 1)^(3/4))/(11*x^11)","B"
486,1,52,38,0.375675,"\text{Not used}","int(((x^5 + 1)^(2/3)*(2*x^5 - 3)*(x^3 + x^5 + 1))/x^9,x)","{\left(x^5+1\right)}^{2/3}\,\left(\frac{3\,x^2}{8}+\frac{3}{5}\right)+\frac{3\,{\left(x^5+1\right)}^{2/3}}{4\,x^3}+\frac{3\,{\left(x^5+1\right)}^{2/3}}{5\,x^5}+\frac{3\,{\left(x^5+1\right)}^{2/3}}{8\,x^8}","Not used",1,"(x^5 + 1)^(2/3)*((3*x^2)/8 + 3/5) + (3*(x^5 + 1)^(2/3))/(4*x^3) + (3*(x^5 + 1)^(2/3))/(5*x^5) + (3*(x^5 + 1)^(2/3))/(8*x^8)","B"
487,1,52,38,0.492444,"\text{Not used}","int(((x^5 - 1)^(2/3)*(2*x^5 + 3)*(x^3 + x^5 - 1))/x^9,x)","{\left(x^5-1\right)}^{2/3}\,\left(\frac{3\,x^2}{8}+\frac{3}{5}\right)-\frac{3\,{\left(x^5-1\right)}^{2/3}}{4\,x^3}-\frac{3\,{\left(x^5-1\right)}^{2/3}}{5\,x^5}+\frac{3\,{\left(x^5-1\right)}^{2/3}}{8\,x^8}","Not used",1,"(x^5 - 1)^(2/3)*((3*x^2)/8 + 3/5) - (3*(x^5 - 1)^(2/3))/(4*x^3) - (3*(x^5 - 1)^(2/3))/(5*x^5) + (3*(x^5 - 1)^(2/3))/(8*x^8)","B"
488,1,61,38,0.699322,"\text{Not used}","int(((x^5 + 1)^(3/4)*(x^5 - 4)*(2*x^5 - x^4 + 2))/x^12,x)","\frac{8\,{\left(x^5+1\right)}^{3/4}}{11\,x}-\frac{4\,{\left(x^5+1\right)}^{3/4}}{7\,x^2}+\frac{16\,{\left(x^5+1\right)}^{3/4}}{11\,x^6}-\frac{4\,{\left(x^5+1\right)}^{3/4}}{7\,x^7}+\frac{8\,{\left(x^5+1\right)}^{3/4}}{11\,x^{11}}","Not used",1,"(8*(x^5 + 1)^(3/4))/(11*x) - (4*(x^5 + 1)^(3/4))/(7*x^2) + (16*(x^5 + 1)^(3/4))/(11*x^6) - (4*(x^5 + 1)^(3/4))/(7*x^7) + (8*(x^5 + 1)^(3/4))/(11*x^11)","B"
489,1,52,38,0.487537,"\text{Not used}","int(((x^5 + 1)^(2/3)*(2*x^5 - 3)*(3*x^3 + 4*x^5 + 4))/x^9,x)","{\left(x^5+1\right)}^{2/3}\,\left(\frac{3\,x^2}{2}+\frac{9}{5}\right)+\frac{3\,{\left(x^5+1\right)}^{2/3}}{x^3}+\frac{9\,{\left(x^5+1\right)}^{2/3}}{5\,x^5}+\frac{3\,{\left(x^5+1\right)}^{2/3}}{2\,x^8}","Not used",1,"(x^5 + 1)^(2/3)*((3*x^2)/2 + 9/5) + (3*(x^5 + 1)^(2/3))/x^3 + (9*(x^5 + 1)^(2/3))/(5*x^5) + (3*(x^5 + 1)^(2/3))/(2*x^8)","B"
490,1,35,38,0.444766,"\text{Not used}","int(1/(x^13*(x^6 - 1)^(1/2)),x)","\frac{\mathrm{atan}\left(\sqrt{x^6-1}\right)}{8}+\frac{\sqrt{x^6-1}}{8\,x^6}+\frac{\sqrt{x^6-1}}{12\,x^{12}}","Not used",1,"atan((x^6 - 1)^(1/2))/8 + (x^6 - 1)^(1/2)/(8*x^6) + (x^6 - 1)^(1/2)/(12*x^12)","B"
491,1,47,38,0.845078,"\text{Not used}","int((x^6 - 1)/(x^13*(x^6 + 1)^(1/2)),x)","\frac{7\,\mathrm{atanh}\left(\sqrt{x^6+1}\right)}{24}-\frac{\sqrt{x^6+1}}{6\,x^6}+\frac{5\,\sqrt{x^6+1}}{24\,x^{12}}-\frac{{\left(x^6+1\right)}^{3/2}}{8\,x^{12}}","Not used",1,"(7*atanh((x^6 + 1)^(1/2)))/24 - (x^6 + 1)^(1/2)/(6*x^6) + (5*(x^6 + 1)^(1/2))/(24*x^12) - (x^6 + 1)^(3/2)/(8*x^12)","B"
492,1,49,38,0.452975,"\text{Not used}","int((x^6 + 1)^(1/2)/x^13,x)","\frac{\mathrm{atanh}\left(\sqrt{x^6+1}\right)}{24}+\frac{\frac{\sqrt{x^6+1}}{24}+\frac{{\left(x^6+1\right)}^{3/2}}{24}}{2\,x^6-{\left(x^6+1\right)}^2+1}","Not used",1,"atanh((x^6 + 1)^(1/2))/24 + ((x^6 + 1)^(1/2)/24 + (x^6 + 1)^(3/2)/24)/(2*x^6 - (x^6 + 1)^2 + 1)","B"
493,1,35,38,0.579665,"\text{Not used}","int((x^6 + 1)/(x^13*(x^6 - 1)^(1/2)),x)","\frac{7\,\mathrm{atan}\left(\sqrt{x^6-1}\right)}{24}+\frac{7\,\sqrt{x^6-1}}{24\,x^6}+\frac{\sqrt{x^6-1}}{12\,x^{12}}","Not used",1,"(7*atan((x^6 - 1)^(1/2)))/24 + (7*(x^6 - 1)^(1/2))/(24*x^6) + (x^6 - 1)^(1/2)/(12*x^12)","B"
494,1,56,38,0.460982,"\text{Not used}","int(((x^6 - 1)^(1/3)*(x^6 + 1)*(x^3 + x^6 - 1))/x^8,x)","{\left(x^6-1\right)}^{1/3}\,\left(\frac{x^5}{7}+\frac{x^2}{4}\right)-\frac{2\,{\left(x^6-1\right)}^{1/3}}{7\,x}-\frac{{\left(x^6-1\right)}^{1/3}}{4\,x^4}+\frac{{\left(x^6-1\right)}^{1/3}}{7\,x^7}","Not used",1,"(x^6 - 1)^(1/3)*(x^2/4 + x^5/7) - (2*(x^6 - 1)^(1/3))/(7*x) - (x^6 - 1)^(1/3)/(4*x^4) + (x^6 - 1)^(1/3)/(7*x^7)","B"
495,1,59,38,0.593124,"\text{Not used}","int(-((x^6 - 1)^(3/4)*(x^6 + 2)*(x^4 - x^6 + 1))/x^12,x)","\frac{2\,x\,{\left(x^6-1\right)}^{3/4}}{11}-\frac{2\,{\left(x^6-1\right)}^{3/4}}{7\,x}-\frac{4\,{\left(x^6-1\right)}^{3/4}}{11\,x^5}+\frac{2\,{\left(x^6-1\right)}^{3/4}}{7\,x^7}+\frac{2\,{\left(x^6-1\right)}^{3/4}}{11\,x^{11}}","Not used",1,"(2*x*(x^6 - 1)^(3/4))/11 - (2*(x^6 - 1)^(3/4))/(7*x) - (4*(x^6 - 1)^(3/4))/(11*x^5) + (2*(x^6 - 1)^(3/4))/(7*x^7) + (2*(x^6 - 1)^(3/4))/(11*x^11)","B"
496,1,59,38,0.718400,"\text{Not used}","int(((x^6 + 1)^(3/4)*(x^6 - 2)*(x^6 - x^4 + 1))/x^12,x)","\frac{2\,x\,{\left(x^6+1\right)}^{3/4}}{11}-\frac{2\,{\left(x^6+1\right)}^{3/4}}{7\,x}+\frac{4\,{\left(x^6+1\right)}^{3/4}}{11\,x^5}-\frac{2\,{\left(x^6+1\right)}^{3/4}}{7\,x^7}+\frac{2\,{\left(x^6+1\right)}^{3/4}}{11\,x^{11}}","Not used",1,"(2*x*(x^6 + 1)^(3/4))/11 - (2*(x^6 + 1)^(3/4))/(7*x) + (4*(x^6 + 1)^(3/4))/(11*x^5) - (2*(x^6 + 1)^(3/4))/(7*x^7) + (2*(x^6 + 1)^(3/4))/(11*x^11)","B"
497,0,-1,38,0.000000,"\text{Not used}","int(-(2*x - 3*x^2)/(4*x^3 - 4*x^2 + x^4 - 2*x^5 + x^6 + 5)^(1/2),x)","\int -\frac{2\,x-3\,x^2}{\sqrt{x^6-2\,x^5+x^4+4\,x^3-4\,x^2+5}} \,d x","Not used",1,"int(-(2*x - 3*x^2)/(4*x^3 - 4*x^2 + x^4 - 2*x^5 + x^6 + 5)^(1/2), x)","F"
498,1,29,38,0.509436,"\text{Not used}","int((5*x^6 - 2)/(x*(x^6 - 1)^(1/2)*(x^6 + 2)),x)","\frac{2\,\sqrt{3}\,\mathrm{atan}\left(\frac{\sqrt{3}\,\sqrt{x^6-1}}{3}\right)}{3}-\frac{\mathrm{atan}\left(\sqrt{x^6-1}\right)}{3}","Not used",1,"(2*3^(1/2)*atan((3^(1/2)*(x^6 - 1)^(1/2))/3))/3 - atan((x^6 - 1)^(1/2))/3","B"
499,1,29,38,0.485401,"\text{Not used}","int((10*x^6 - 1)/(x*(x^6 - 1)^(1/2)*(4*x^6 - 1)),x)","\frac{\mathrm{atan}\left(\sqrt{x^6-1}\right)}{3}+\frac{\sqrt{3}\,\mathrm{atan}\left(\frac{2\,\sqrt{3}\,\sqrt{x^6-1}}{3}\right)}{3}","Not used",1,"atan((x^6 - 1)^(1/2))/3 + (3^(1/2)*atan((2*3^(1/2)*(x^6 - 1)^(1/2))/3))/3","B"
500,1,48,39,0.545030,"\text{Not used}","int((x + x^2 + 2)/(x^2*(x^2 + 1)^(3/4)),x)","x\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2},\frac{3}{4};\ \frac{3}{2};\ -x^2\right)-\mathrm{atanh}\left({\left(x^2+1\right)}^{1/4}\right)-\mathrm{atan}\left({\left(x^2+1\right)}^{1/4}\right)-\frac{2\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{2},\frac{3}{4};\ \frac{1}{2};\ -x^2\right)}{x}","Not used",1,"x*hypergeom([1/2, 3/4], 3/2, -x^2) - atanh((x^2 + 1)^(1/4)) - atan((x^2 + 1)^(1/4)) - (2*hypergeom([-1/2, 3/4], 1/2, -x^2))/x","B"
501,0,-1,39,0.000000,"\text{Not used}","int((2*x - 3)/((x^2 - x)^(1/4)*(x^3 - x + 1)),x)","\int \frac{2\,x-3}{{\left(x^2-x\right)}^{1/4}\,\left(x^3-x+1\right)} \,d x","Not used",1,"int((2*x - 3)/((x^2 - x)^(1/4)*(x^3 - x + 1)), x)","F"
502,1,49,39,0.726027,"\text{Not used}","int(((x^2 - 1)*(x + x^3)^(1/2))/((x^2 + 1)*(x + x^2 + 1)^2),x)","\frac{\sqrt{x^3+x}}{x^2+x+1}-\frac{\ln\left(x^2+x+1\right)\,1{}\mathrm{i}}{2}+\frac{\ln\left(x^2-x+1+\sqrt{x^3+x}\,2{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}","Not used",1,"(log((x + x^3)^(1/2)*2i - x + x^2 + 1)*1i)/2 - (log(x + x^2 + 1)*1i)/2 + (x + x^3)^(1/2)/(x + x^2 + 1)","B"
503,1,2611,39,1.595373,"\text{Not used}","int(((x^3 - 2)*(x^2 + 2*x^3 + 2)^(1/2))/((x^3 + 1)*(x^2 + x^3 + 1)),x)","\left(\sum _{_{\mathrm{X187}}\in \left\{-1,\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2},\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right\}\cup \mathrm{root}\left(z^3+z^2+1,z\right)}\left(-\frac{2\,\sqrt{-\frac{x-\frac{1}{72\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}-\frac{{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}{2}+\frac{1}{6}+\frac{\sqrt{3}\,\left(\frac{1}{36\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}-{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}}{\frac{1}{24\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}+\frac{3\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}{2}-\frac{\sqrt{3}\,\left(\frac{1}{36\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}-{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{36\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}+{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}+\frac{1}{6}}{\frac{1}{24\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}+\frac{3\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}{2}-\frac{\sqrt{3}\,\left(\frac{1}{36\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}-{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}}}\,\sqrt{x^3+\frac{x^2}{2}+1}\,\left(\frac{1}{24\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}+\frac{3\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}{2}-\frac{\sqrt{3}\,\left(\frac{1}{36\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}-{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)\,\Pi \left(-\frac{\frac{1}{24\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}+\frac{3\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}{2}-\frac{\sqrt{3}\,\left(\frac{1}{36\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}-{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}}{_{\mathrm{X187}}-\frac{1}{72\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}-\frac{{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}{2}+\frac{1}{6}+\frac{\sqrt{3}\,\left(\frac{1}{36\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}-{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}};\mathrm{asin}\left(\sqrt{-\frac{x-\frac{1}{72\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}-\frac{{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}{2}+\frac{1}{6}+\frac{\sqrt{3}\,\left(\frac{1}{36\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}-{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}}{\frac{1}{24\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}+\frac{3\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}{2}-\frac{\sqrt{3}\,\left(\frac{1}{36\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}-{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}}}\right)\middle|\frac{\sqrt{3}\,\left(\frac{1}{24\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}+\frac{3\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}{2}-\frac{\sqrt{3}\,\left(\frac{1}{36\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}-{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)\,1{}\mathrm{i}}{3\,\left(\frac{1}{36\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}-{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}\right)}\right)\,\sqrt{-\frac{\sqrt{3}\,\left(\frac{1}{72\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}-x+\frac{{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}{2}-\frac{1}{6}+\frac{\sqrt{3}\,\left(\frac{1}{36\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}-{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)\,1{}\mathrm{i}}{3\,\left(\frac{1}{36\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}-{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}\right)}}\,\left({_{\mathrm{X187}}}^5+6\,{_{\mathrm{X187}}}^3+4\,{_{\mathrm{X187}}}^2+6\right)}{\left(\left({_{\mathrm{X187}}}^3+1\right)\,\left(3\,{_{\mathrm{X187}}}^2+2\,_{\mathrm{X187}}\right)+3\,{_{\mathrm{X187}}}^2\,\left({_{\mathrm{X187}}}^3+{_{\mathrm{X187}}}^2+1\right)\right)\,\sqrt{2\,x^3+x^2+2}\,\sqrt{x^3+\frac{x^2}{2}+\left(-\left(\frac{1}{6}-\frac{{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}{2}-\frac{1}{72\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}+\frac{\sqrt{3}\,\left(\frac{1}{36\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}-{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{72\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}+\frac{{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}{2}-\frac{1}{6}+\frac{\sqrt{3}\,\left(\frac{1}{36\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}-{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)+\left(\frac{1}{36\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}+{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}+\frac{1}{6}\right)\,\left(\frac{1}{6}-\frac{{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}{2}-\frac{1}{72\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}+\frac{\sqrt{3}\,\left(\frac{1}{36\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}-{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)-\left(\frac{1}{36\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}+{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}+\frac{1}{6}\right)\,\left(\frac{1}{72\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}+\frac{{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}{2}-\frac{1}{6}+\frac{\sqrt{3}\,\left(\frac{1}{36\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}-{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)\right)\,x-\left(\frac{1}{36\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}+{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}+\frac{1}{6}\right)\,\left(\frac{1}{6}-\frac{{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}{2}-\frac{1}{72\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}+\frac{\sqrt{3}\,\left(\frac{1}{36\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}-{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{72\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}+\frac{{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}{2}-\frac{1}{6}+\frac{\sqrt{3}\,\left(\frac{1}{36\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}-{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)}\,\left(_{\mathrm{X187}}-\frac{1}{72\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}-\frac{{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}{2}+\frac{1}{6}+\frac{\sqrt{3}\,\left(\frac{1}{36\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}-{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)}\right)\right)-\frac{4\,\sqrt{-\frac{x-\frac{1}{72\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}-\frac{{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}{2}+\frac{1}{6}+\frac{\sqrt{3}\,\left(\frac{1}{36\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}-{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}}{\frac{1}{24\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}+\frac{3\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}{2}-\frac{\sqrt{3}\,\left(\frac{1}{36\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}-{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{36\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}+{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}+\frac{1}{6}}{\frac{1}{24\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}+\frac{3\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}{2}-\frac{\sqrt{3}\,\left(\frac{1}{36\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}-{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}}}\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{-\frac{x-\frac{1}{72\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}-\frac{{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}{2}+\frac{1}{6}+\frac{\sqrt{3}\,\left(\frac{1}{36\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}-{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}}{\frac{1}{24\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}+\frac{3\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}{2}-\frac{\sqrt{3}\,\left(\frac{1}{36\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}-{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}}}\right)\middle|\frac{\sqrt{3}\,\left(\frac{1}{24\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}+\frac{3\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}{2}-\frac{\sqrt{3}\,\left(\frac{1}{36\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}-{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)\,1{}\mathrm{i}}{3\,\left(\frac{1}{36\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}-{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}\right)}\right)\,\sqrt{x^3+\frac{x^2}{2}+1}\,\left(\frac{1}{24\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}+\frac{3\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}{2}-\frac{\sqrt{3}\,\left(\frac{1}{36\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}-{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)\,\sqrt{-\frac{\sqrt{3}\,\left(\frac{1}{72\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}-x+\frac{{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}{2}-\frac{1}{6}+\frac{\sqrt{3}\,\left(\frac{1}{36\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}-{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)\,1{}\mathrm{i}}{3\,\left(\frac{1}{36\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}-{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}\right)}}}{\sqrt{2\,x^3+x^2+2}\,\sqrt{x^3+\frac{x^2}{2}+\left(-\left(\frac{1}{6}-\frac{{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}{2}-\frac{1}{72\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}+\frac{\sqrt{3}\,\left(\frac{1}{36\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}-{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{72\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}+\frac{{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}{2}-\frac{1}{6}+\frac{\sqrt{3}\,\left(\frac{1}{36\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}-{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)+\left(\frac{1}{36\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}+{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}+\frac{1}{6}\right)\,\left(\frac{1}{6}-\frac{{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}{2}-\frac{1}{72\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}+\frac{\sqrt{3}\,\left(\frac{1}{36\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}-{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)-\left(\frac{1}{36\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}+{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}+\frac{1}{6}\right)\,\left(\frac{1}{72\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}+\frac{{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}{2}-\frac{1}{6}+\frac{\sqrt{3}\,\left(\frac{1}{36\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}-{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)\right)\,x-\left(\frac{1}{36\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}+{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}+\frac{1}{6}\right)\,\left(\frac{1}{6}-\frac{{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}{2}-\frac{1}{72\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}+\frac{\sqrt{3}\,\left(\frac{1}{36\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}-{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{72\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}+\frac{{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}{2}-\frac{1}{6}+\frac{\sqrt{3}\,\left(\frac{1}{36\,{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}}-{\left(\frac{109}{216}-\frac{\sqrt{55}\,\sqrt{216}}{216}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"symsum(-(2*(-(x + (3^(1/2)*(1/(36*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3))*1i)/2 - 1/(72*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)/2 + 1/6)/(1/(24*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (3^(1/2)*(1/(36*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3))*1i)/2 + (3*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3))/2))^(1/2)*((x + 1/(36*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) + (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3) + 1/6)/(1/(24*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (3^(1/2)*(1/(36*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3))*1i)/2 + (3*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3))/2))^(1/2)*(x^2/2 + x^3 + 1)^(1/2)*(1/(24*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (3^(1/2)*(1/(36*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3))*1i)/2 + (3*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3))/2)*ellipticPi(-(1/(24*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (3^(1/2)*(1/(36*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3))*1i)/2 + (3*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3))/2)/(_X187 + (3^(1/2)*(1/(36*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3))*1i)/2 - 1/(72*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)/2 + 1/6), asin((-(x + (3^(1/2)*(1/(36*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3))*1i)/2 - 1/(72*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)/2 + 1/6)/(1/(24*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (3^(1/2)*(1/(36*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3))*1i)/2 + (3*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3))/2))^(1/2)), (3^(1/2)*(1/(24*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (3^(1/2)*(1/(36*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3))*1i)/2 + (3*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3))/2)*1i)/(3*(1/(36*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3))))*(-(3^(1/2)*((3^(1/2)*(1/(36*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3))*1i)/2 - x + 1/(72*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) + (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)/2 - 1/6)*1i)/(3*(1/(36*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3))))^(1/2)*(4*_X187^2 + 6*_X187^3 + _X187^5 + 6))/(((_X187^3 + 1)*(2*_X187 + 3*_X187^2) + 3*_X187^2*(_X187^2 + _X187^3 + 1))*(x^2 + 2*x^3 + 2)^(1/2)*(x^2/2 - x*(((3^(1/2)*(1/(36*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3))*1i)/2 - 1/(72*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)/2 + 1/6)*((3^(1/2)*(1/(36*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3))*1i)/2 + 1/(72*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) + (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)/2 - 1/6) - (1/(36*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) + (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3) + 1/6)*((3^(1/2)*(1/(36*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3))*1i)/2 - 1/(72*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)/2 + 1/6) + (1/(36*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) + (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3) + 1/6)*((3^(1/2)*(1/(36*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3))*1i)/2 + 1/(72*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) + (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)/2 - 1/6)) + x^3 - (1/(36*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) + (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3) + 1/6)*((3^(1/2)*(1/(36*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3))*1i)/2 - 1/(72*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)/2 + 1/6)*((3^(1/2)*(1/(36*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3))*1i)/2 + 1/(72*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) + (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)/2 - 1/6))^(1/2)*(_X187 + (3^(1/2)*(1/(36*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3))*1i)/2 - 1/(72*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)/2 + 1/6)), _X187 in {-1, 1/2 - (3^(1/2)*1i)/2, (3^(1/2)*1i)/2 + 1/2} union root(z^3 + z^2 + 1, z)) - (4*(-(x + (3^(1/2)*(1/(36*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3))*1i)/2 - 1/(72*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)/2 + 1/6)/(1/(24*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (3^(1/2)*(1/(36*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3))*1i)/2 + (3*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3))/2))^(1/2)*((x + 1/(36*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) + (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3) + 1/6)/(1/(24*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (3^(1/2)*(1/(36*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3))*1i)/2 + (3*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3))/2))^(1/2)*ellipticF(asin((-(x + (3^(1/2)*(1/(36*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3))*1i)/2 - 1/(72*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)/2 + 1/6)/(1/(24*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (3^(1/2)*(1/(36*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3))*1i)/2 + (3*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3))/2))^(1/2)), (3^(1/2)*(1/(24*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (3^(1/2)*(1/(36*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3))*1i)/2 + (3*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3))/2)*1i)/(3*(1/(36*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3))))*(x^2/2 + x^3 + 1)^(1/2)*(1/(24*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (3^(1/2)*(1/(36*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3))*1i)/2 + (3*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3))/2)*(-(3^(1/2)*((3^(1/2)*(1/(36*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3))*1i)/2 - x + 1/(72*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) + (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)/2 - 1/6)*1i)/(3*(1/(36*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3))))^(1/2))/((x^2 + 2*x^3 + 2)^(1/2)*(x^2/2 - x*(((3^(1/2)*(1/(36*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3))*1i)/2 - 1/(72*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)/2 + 1/6)*((3^(1/2)*(1/(36*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3))*1i)/2 + 1/(72*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) + (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)/2 - 1/6) - (1/(36*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) + (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3) + 1/6)*((3^(1/2)*(1/(36*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3))*1i)/2 - 1/(72*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)/2 + 1/6) + (1/(36*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) + (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3) + 1/6)*((3^(1/2)*(1/(36*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3))*1i)/2 + 1/(72*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) + (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)/2 - 1/6)) + x^3 - (1/(36*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) + (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3) + 1/6)*((3^(1/2)*(1/(36*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3))*1i)/2 - 1/(72*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)/2 + 1/6)*((3^(1/2)*(1/(36*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) - (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3))*1i)/2 + 1/(72*(109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)) + (109/216 - (55^(1/2)*216^(1/2))/216)^(1/3)/2 - 1/6))^(1/2))","B"
504,1,51,39,2.186617,"\text{Not used}","int((b + a*x^2)/((a*x^3 - b*x)^(1/2)*(c*x - b + a*x^2)),x)","\frac{\ln\left(\frac{b+c\,x-a\,x^2-\sqrt{c}\,\sqrt{a\,x^3-b\,x}\,2{}\mathrm{i}}{a\,x^2+c\,x-b}\right)\,1{}\mathrm{i}}{\sqrt{c}}","Not used",1,"(log((b + c*x - a*x^2 - c^(1/2)*(a*x^3 - b*x)^(1/2)*2i)/(c*x - b + a*x^2))*1i)/c^(1/2)","B"
505,0,-1,39,0.000000,"\text{Not used}","int(x*(x^4 - 1)^(1/2),x)","\int x\,\sqrt{x^4-1} \,d x","Not used",1,"int(x*(x^4 - 1)^(1/2), x)","F"
506,0,-1,39,0.000000,"\text{Not used}","int((x^4 - x)^(1/2)/x^3,x)","\int \frac{\sqrt{x^4-x}}{x^3} \,d x","Not used",1,"int((x^4 - x)^(1/2)/x^3, x)","F"
507,0,-1,39,0.000000,"\text{Not used}","int(x^3*(x + x^4)^(1/2),x)","\int x^3\,\sqrt{x^4+x} \,d x","Not used",1,"int(x^3*(x + x^4)^(1/2), x)","F"
508,0,-1,39,0.000000,"\text{Not used}","int((x + 1)/(18*x + 13*x^2 + 4*x^3 + x^4 + 16)^(1/2),x)","\int \frac{x+1}{\sqrt{x^4+4\,x^3+13\,x^2+18\,x+16}} \,d x","Not used",1,"int((x + 1)/(18*x + 13*x^2 + 4*x^3 + x^4 + 16)^(1/2), x)","F"
509,1,56,39,0.894733,"\text{Not used}","int(-((x^5 - 1)^(1/2)*(3*x^5 + 2))/(x^2*(a*x^2 - x^5 + 1)),x)","\sqrt{a}\,\ln\left(\frac{a\,x^2+x^5-2\,\sqrt{a}\,x\,\sqrt{x^5-1}-1}{-x^5+a\,x^2+1}\right)+\frac{2\,\sqrt{x^5-1}}{x}","Not used",1,"a^(1/2)*log((a*x^2 + x^5 - 2*a^(1/2)*x*(x^5 - 1)^(1/2) - 1)/(a*x^2 - x^5 + 1)) + (2*(x^5 - 1)^(1/2))/x","B"
510,0,-1,39,0.000000,"\text{Not used}","int(x*(x^6 - x)^(1/2),x)","\int x\,\sqrt{x^6-x} \,d x","Not used",1,"int(x*(x^6 - x)^(1/2), x)","F"
511,0,-1,39,0.000000,"\text{Not used}","int(((x^5 + 1)*(4*x^5 - 1))/(x*(x + x^6)^(1/2)*(x^5 - a*x + 1)),x)","\int \frac{\left(x^5+1\right)\,\left(4\,x^5-1\right)}{x\,\sqrt{x^6+x}\,\left(x^5-a\,x+1\right)} \,d x","Not used",1,"int(((x^5 + 1)*(4*x^5 - 1))/(x*(x + x^6)^(1/2)*(x^5 - a*x + 1)), x)","F"
512,0,-1,39,0.000000,"\text{Not used}","int(1/(x - (x^2 - 1)^(1/2))^(1/2),x)","\int \frac{1}{\sqrt{x-\sqrt{x^2-1}}} \,d x","Not used",1,"int(1/(x - (x^2 - 1)^(1/2))^(1/2), x)","F"
513,1,223,40,0.154665,"\text{Not used}","int((x^2 + 1)/((2*x + x^2 - 1)*(x^3 - x^2 - x)^(1/2)),x)","-\frac{\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\,\sqrt{\frac{x+\frac{\sqrt{5}}{2}-\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}}\,\left(\sqrt{5}+1\right)\,\sqrt{\frac{\frac{\sqrt{5}}{2}-x+\frac{1}{2}}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\,\left(\Pi \left(\frac{\frac{\sqrt{5}}{2}+\frac{1}{2}}{\sqrt{2}-1};\mathrm{asin}\left(\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\right)\middle|-\frac{\frac{\sqrt{5}}{2}+\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}\right)-\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\right)\middle|-\frac{\frac{\sqrt{5}}{2}+\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}\right)+\Pi \left(-\frac{\frac{\sqrt{5}}{2}+\frac{1}{2}}{\sqrt{2}+1};\mathrm{asin}\left(\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\right)\middle|-\frac{\frac{\sqrt{5}}{2}+\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}\right)\right)}{\sqrt{x^3-x^2-\left(\frac{\sqrt{5}}{2}-\frac{1}{2}\right)\,\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)\,x}}","Not used",1,"-((x/(5^(1/2)/2 + 1/2))^(1/2)*((x + 5^(1/2)/2 - 1/2)/(5^(1/2)/2 - 1/2))^(1/2)*(5^(1/2) + 1)*((5^(1/2)/2 - x + 1/2)/(5^(1/2)/2 + 1/2))^(1/2)*(ellipticPi((5^(1/2)/2 + 1/2)/(2^(1/2) - 1), asin((x/(5^(1/2)/2 + 1/2))^(1/2)), -(5^(1/2)/2 + 1/2)/(5^(1/2)/2 - 1/2)) - ellipticF(asin((x/(5^(1/2)/2 + 1/2))^(1/2)), -(5^(1/2)/2 + 1/2)/(5^(1/2)/2 - 1/2)) + ellipticPi(-(5^(1/2)/2 + 1/2)/(2^(1/2) + 1), asin((x/(5^(1/2)/2 + 1/2))^(1/2)), -(5^(1/2)/2 + 1/2)/(5^(1/2)/2 - 1/2))))/(x^3 - x^2 - x*(5^(1/2)/2 - 1/2)*(5^(1/2)/2 + 1/2))^(1/2)","B"
514,1,57,40,0.700170,"\text{Not used}","int(((x^3 + 2)*(x^2 + x^3 - 1)^(1/2))/(x^3 - 1)^2,x)","\frac{\ln\left(\frac{2\,x\,\sqrt{x^3+x^2-1}-2\,x^2-x^3+1}{x^3-1}\right)}{2}-\frac{x\,\sqrt{x^3+x^2-1}}{x^3-1}","Not used",1,"log((2*x*(x^2 + x^3 - 1)^(1/2) - 2*x^2 - x^3 + 1)/(x^3 - 1))/2 - (x*(x^2 + x^3 - 1)^(1/2))/(x^3 - 1)","B"
515,1,227,40,0.151427,"\text{Not used}","int((x^2 + 2)/((x^2 - 2)*(2*x^2 - 2*x + x^3)^(1/2)),x)","-\frac{2\,\sqrt{x}\,\sqrt{\frac{1}{\sqrt{3}+1}}\,\Pi \left(\sqrt{2}\,\left(\frac{\sqrt{3}}{2}-\frac{1}{2}\right);\mathrm{asin}\left(\sqrt{\frac{x}{\sqrt{3}-1}}\right)\middle|-\frac{\sqrt{3}-1}{\sqrt{3}+1}\right)\,\sqrt{x+\sqrt{3}+1}\,\sqrt{\sqrt{3}-x-1}+2\,\sqrt{x}\,\sqrt{\frac{1}{\sqrt{3}+1}}\,\Pi \left(-\sqrt{2}\,\left(\frac{\sqrt{3}}{2}-\frac{1}{2}\right);\mathrm{asin}\left(\sqrt{\frac{x}{\sqrt{3}-1}}\right)\middle|-\frac{\sqrt{3}-1}{\sqrt{3}+1}\right)\,\sqrt{x+\sqrt{3}+1}\,\sqrt{\sqrt{3}-x-1}-2\,\sqrt{x}\,\sqrt{\frac{1}{\sqrt{3}+1}}\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{x}{\sqrt{3}-1}}\right)\middle|-\frac{\sqrt{3}-1}{\sqrt{3}+1}\right)\,\sqrt{x+\sqrt{3}+1}\,\sqrt{\sqrt{3}-x-1}}{\sqrt{x^3+2\,x^2-\left(\sqrt{3}-1\right)\,\left(\sqrt{3}+1\right)\,x}}","Not used",1,"-(2*x^(1/2)*(1/(3^(1/2) + 1))^(1/2)*ellipticPi(2^(1/2)*(3^(1/2)/2 - 1/2), asin((x/(3^(1/2) - 1))^(1/2)), -(3^(1/2) - 1)/(3^(1/2) + 1))*(x + 3^(1/2) + 1)^(1/2)*(3^(1/2) - x - 1)^(1/2) + 2*x^(1/2)*(1/(3^(1/2) + 1))^(1/2)*ellipticPi(-2^(1/2)*(3^(1/2)/2 - 1/2), asin((x/(3^(1/2) - 1))^(1/2)), -(3^(1/2) - 1)/(3^(1/2) + 1))*(x + 3^(1/2) + 1)^(1/2)*(3^(1/2) - x - 1)^(1/2) - 2*x^(1/2)*(1/(3^(1/2) + 1))^(1/2)*ellipticF(asin((x/(3^(1/2) - 1))^(1/2)), -(3^(1/2) - 1)/(3^(1/2) + 1))*(x + 3^(1/2) + 1)^(1/2)*(3^(1/2) - x - 1)^(1/2))/(2*x^2 + x^3 - x*(3^(1/2) - 1)*(3^(1/2) + 1))^(1/2)","B"
516,1,62,40,0.705592,"\text{Not used}","int((x + 2)/((x - 1)*(3*x + a*x^2 + x^3 - 1)^(1/2)),x)","\frac{\ln\left(\frac{\left(\sqrt{x^3+a\,x^2+3\,x-1}+x\,\sqrt{a+3}\right)\,{\left(\sqrt{x^3+a\,x^2+3\,x-1}-x\,\sqrt{a+3}\right)}^3}{{\left(x-1\right)}^6}\right)}{\sqrt{a+3}}","Not used",1,"log((((3*x + a*x^2 + x^3 - 1)^(1/2) + x*(a + 3)^(1/2))*((3*x + a*x^2 + x^3 - 1)^(1/2) - x*(a + 3)^(1/2))^3)/(x - 1)^6)/(a + 3)^(1/2)","B"
517,1,62,40,0.692994,"\text{Not used}","int((x - 2)/((x + 1)*(3*x + a*x^2 + x^3 + 1)^(1/2)),x)","\frac{\ln\left(\frac{\left(\sqrt{x^3+a\,x^2+3\,x+1}+x\,\sqrt{a-3}\right)\,{\left(\sqrt{x^3+a\,x^2+3\,x+1}-x\,\sqrt{a-3}\right)}^3}{{\left(x+1\right)}^6}\right)}{\sqrt{a-3}}","Not used",1,"log((((3*x + a*x^2 + x^3 + 1)^(1/2) + x*(a - 3)^(1/2))*((3*x + a*x^2 + x^3 + 1)^(1/2) - x*(a - 3)^(1/2))^3)/(x + 1)^6)/(a - 3)^(1/2)","B"
518,1,457,40,0.746403,"\text{Not used}","int(-(x*(3*a*b + x^2 - 2*x*(a + b)))/((x*(a - x)*(b - x))^(1/2)*(d*x^2 - x^3 - d*x*(a + b) + a*b*d)),x)","\left(\sum _{k=1}^3\left(-\frac{2\,b\,\sqrt{\frac{x}{b}}\,\sqrt{\frac{b-x}{b}}\,\sqrt{\frac{a-x}{a-b}}\,\Pi \left(-\frac{b}{\mathrm{root}\left(z^3-d\,z^2+d\,z\,\left(a+b\right)-a\,b\,d,z,k\right)-b};\mathrm{asin}\left(\sqrt{\frac{b-x}{b}}\right)\middle|-\frac{b}{a-b}\right)\,\left(2\,a\,{\mathrm{root}\left(z^3-d\,z^2+d\,z\,\left(a+b\right)-a\,b\,d,z,k\right)}^2+2\,b\,{\mathrm{root}\left(z^3-d\,z^2+d\,z\,\left(a+b\right)-a\,b\,d,z,k\right)}^2-d\,{\mathrm{root}\left(z^3-d\,z^2+d\,z\,\left(a+b\right)-a\,b\,d,z,k\right)}^2-3\,a\,b\,\mathrm{root}\left(z^3-d\,z^2+d\,z\,\left(a+b\right)-a\,b\,d,z,k\right)+a\,d\,\mathrm{root}\left(z^3-d\,z^2+d\,z\,\left(a+b\right)-a\,b\,d,z,k\right)+b\,d\,\mathrm{root}\left(z^3-d\,z^2+d\,z\,\left(a+b\right)-a\,b\,d,z,k\right)-a\,b\,d\right)}{\left(\mathrm{root}\left(z^3-d\,z^2+d\,z\,\left(a+b\right)-a\,b\,d,z,k\right)-b\right)\,\sqrt{x\,\left(a-x\right)\,\left(b-x\right)}\,\left(3\,{\mathrm{root}\left(z^3-d\,z^2+d\,z\,\left(a+b\right)-a\,b\,d,z,k\right)}^2-2\,d\,\mathrm{root}\left(z^3-d\,z^2+d\,z\,\left(a+b\right)-a\,b\,d,z,k\right)+a\,d+b\,d\right)}\right)\right)-\frac{2\,b\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{b-x}{b}}\right)\middle|-\frac{b}{a-b}\right)\,\sqrt{\frac{x}{b}}\,\sqrt{\frac{b-x}{b}}\,\sqrt{\frac{a-x}{a-b}}}{\sqrt{x^3+\left(-a-b\right)\,x^2+a\,b\,x}}","Not used",1,"symsum(-(2*b*(x/b)^(1/2)*((b - x)/b)^(1/2)*((a - x)/(a - b))^(1/2)*ellipticPi(-b/(root(z^3 - d*z^2 + d*z*(a + b) - a*b*d, z, k) - b), asin(((b - x)/b)^(1/2)), -b/(a - b))*(2*a*root(z^3 - d*z^2 + d*z*(a + b) - a*b*d, z, k)^2 + 2*b*root(z^3 - d*z^2 + d*z*(a + b) - a*b*d, z, k)^2 - d*root(z^3 - d*z^2 + d*z*(a + b) - a*b*d, z, k)^2 - 3*a*b*root(z^3 - d*z^2 + d*z*(a + b) - a*b*d, z, k) + a*d*root(z^3 - d*z^2 + d*z*(a + b) - a*b*d, z, k) + b*d*root(z^3 - d*z^2 + d*z*(a + b) - a*b*d, z, k) - a*b*d))/((root(z^3 - d*z^2 + d*z*(a + b) - a*b*d, z, k) - b)*(x*(a - x)*(b - x))^(1/2)*(a*d + b*d + 3*root(z^3 - d*z^2 + d*z*(a + b) - a*b*d, z, k)^2 - 2*d*root(z^3 - d*z^2 + d*z*(a + b) - a*b*d, z, k))), k, 1, 3) - (2*b*ellipticF(asin(((b - x)/b)^(1/2)), -b/(a - b))*(x/b)^(1/2)*((b - x)/b)^(1/2)*((a - x)/(a - b))^(1/2))/(x^3 - x^2*(a + b) + a*b*x)^(1/2)","B"
519,1,69,40,3.306666,"\text{Not used}","int(-(x^3 - 2*x^2*(a + b) + 3*a*b*x)/((x*(a - x)*(b - x))^(1/2)*(a*b - d*x^3 + x^2 - x*(a + b))),x)","\frac{\ln\left(\frac{a\,b-a\,x-b\,x+d\,x^3+x^2-2\,\sqrt{d}\,x\,\sqrt{x\,\left(a-x\right)\,\left(b-x\right)}}{a\,x-a\,b+b\,x+d\,x^3-x^2}\right)}{\sqrt{d}}","Not used",1,"log((a*b - a*x - b*x + d*x^3 + x^2 - 2*d^(1/2)*x*(x*(a - x)*(b - x))^(1/2))/(a*x - a*b + b*x + d*x^3 - x^2))/d^(1/2)","B"
520,1,18,40,0.087901,"\text{Not used}","int(((x^2 - 1)*((x^2 + 1)^2)^(1/2))/((x^2 + 1)*(x^4 + 1)),x)","-\frac{\sqrt{2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,x}{x^2+1}\right)}{2}","Not used",1,"-(2^(1/2)*atanh((2^(1/2)*x)/(x^2 + 1)))/2","B"
521,0,-1,40,0.000000,"\text{Not used}","int((x - 1)/(4*x + 14*x^2 - 12*x^3 + x^4 - 7)^(1/2),x)","\int \frac{x-1}{\sqrt{x^4-12\,x^3+14\,x^2+4\,x-7}} \,d x","Not used",1,"int((x - 1)/(4*x + 14*x^2 - 12*x^3 + x^4 - 7)^(1/2), x)","F"
522,1,33,40,0.325915,"\text{Not used}","int((k^2*x^4 - 2*k^2*x^2 + 1)/(x^2*(k^2*x^2 - 1)*((x^2 - 1)*(k^2*x^2 - 1))^(1/2)),x)","-\frac{\sqrt{\left(x^2-1\right)\,\left(k^2\,x^2-1\right)}}{x\,\left(k^2\,x^2-1\right)}","Not used",1,"-((x^2 - 1)*(k^2*x^2 - 1))^(1/2)/(x*(k^2*x^2 - 1))","B"
523,1,29,40,0.394766,"\text{Not used}","int((x^6 - 2)/(x*(x^6 - 1)^(1/2)*(x^6 + 2)),x)","\frac{2\,\sqrt{3}\,\mathrm{atan}\left(\frac{\sqrt{3}\,\sqrt{x^6-1}}{3}\right)}{9}-\frac{\mathrm{atan}\left(\sqrt{x^6-1}\right)}{3}","Not used",1,"(2*3^(1/2)*atan((3^(1/2)*(x^6 - 1)^(1/2))/3))/9 - atan((x^6 - 1)^(1/2))/3","B"
524,1,198,40,0.200827,"\text{Not used}","int(((x^3 + 2)*(x^3 + x^6 + 1))/(x*(x^3 + 1)^(1/2)),x)","\frac{46\,\sqrt{x^3+1}}{45}+\frac{22\,x^3\,\sqrt{x^3+1}}{45}+\frac{2\,x^6\,\sqrt{x^3+1}}{15}-\frac{4\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(46*(x^3 + 1)^(1/2))/45 + (22*x^3*(x^3 + 1)^(1/2))/45 + (2*x^6*(x^3 + 1)^(1/2))/15 - (4*((3^(1/2)*1i)/2 + 3/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi((3^(1/2)*1i)/2 + 3/2, asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2)","B"
525,0,-1,40,0.000000,"\text{Not used}","int((4*x + 3*x^2)/(4*x^2 + 2*x^3 + 4*x^4 + 4*x^5 + x^6 - 5)^(1/2),x)","\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","Not used",1,"int((4*x + 3*x^2)/(4*x^2 + 2*x^3 + 4*x^4 + 4*x^5 + x^6 - 5)^(1/2), x)","F"
526,-1,-1,40,0.000000,"\text{Not used}","int(-(x^2*(q + p*x^5)^(1/2)*(2*q - 3*p*x^5))/(a*(q + p*x^5)^3 + b*x^6),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
527,1,37,41,0.616827,"\text{Not used}","int(x^8/(a*x^3 - b)^(1/2),x)","\frac{2\,\sqrt{a\,x^3-b}\,\left(3\,a^2\,x^6+4\,a\,b\,x^3+8\,b^2\right)}{45\,a^3}","Not used",1,"(2*(a*x^3 - b)^(1/2)*(8*b^2 + 3*a^2*x^6 + 4*a*b*x^3))/(45*a^3)","B"
528,1,33,41,0.552774,"\text{Not used}","int(x^5*(a*x^3 - b)^(1/2),x)","\frac{6\,{\left(a\,x^3-b\right)}^{5/2}+10\,b\,{\left(a\,x^3-b\right)}^{3/2}}{45\,a^2}","Not used",1,"(6*(a*x^3 - b)^(5/2) + 10*b*(a*x^3 - b)^(3/2))/(45*a^2)","B"
529,1,56,41,1.637834,"\text{Not used}","int(-(2*b + a*x^3)/((a*x^3 - b)^(1/2)*(2*b - 2*a*x^3 + 3*x^2)),x)","\frac{\sqrt{6}\,\ln\left(\frac{2\,b-2\,a\,x^3-3\,x^2+2\,\sqrt{6}\,x\,\sqrt{a\,x^3-b}}{-2\,a\,x^3+3\,x^2+2\,b}\right)}{6}","Not used",1,"(6^(1/2)*log((2*b - 2*a*x^3 - 3*x^2 + 2*6^(1/2)*x*(a*x^3 - b)^(1/2))/(2*b - 2*a*x^3 + 3*x^2)))/6","B"
530,0,-1,41,0.000000,"\text{Not used}","int(((x^4 - 1)*(x^4 + 1)^(1/2)*(x^2 + x^4 + 1))/(x^4*(x^4 - x^2 + 1)),x)","\int \frac{\left(x^4-1\right)\,\sqrt{x^4+1}\,\left(x^4+x^2+1\right)}{x^4\,\left(x^4-x^2+1\right)} \,d x","Not used",1,"int(((x^4 - 1)*(x^4 + 1)^(1/2)*(x^2 + x^4 + 1))/(x^4*(x^4 - x^2 + 1)), x)","F"
531,0,-1,41,0.000000,"\text{Not used}","int(-(4*c + 3*b*x + 2*a*x^2)/((c + b*x + a*x^2)^(1/4)*(c + b*x + a*x^2 - x^4)),x)","\int -\frac{2\,a\,x^2+3\,b\,x+4\,c}{{\left(a\,x^2+b\,x+c\right)}^{1/4}\,\left(-x^4+a\,x^2+b\,x+c\right)} \,d x","Not used",1,"int(-(4*c + 3*b*x + 2*a*x^2)/((c + b*x + a*x^2)^(1/4)*(c + b*x + a*x^2 - x^4)), x)","F"
532,1,198,41,0.053412,"\text{Not used}","int(((x^3 + 2)*(x^3 + x^6 + 1))/(x^4*(x^3 + 1)^(1/2)),x)","\frac{14\,\sqrt{x^3+1}}{9}-\frac{2\,\sqrt{x^3+1}}{3\,x^3}+\frac{2\,x^3\,\sqrt{x^3+1}}{9}-\frac{4\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(14*(x^3 + 1)^(1/2))/9 - (2*(x^3 + 1)^(1/2))/(3*x^3) + (2*x^3*(x^3 + 1)^(1/2))/9 - (4*((3^(1/2)*1i)/2 + 3/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi((3^(1/2)*1i)/2 + 3/2, asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2)","B"
533,1,201,41,0.219880,"\text{Not used}","int(((x^3 - 1)^(1/2)*(x^3 + 2*x^6 - 2))/x^10,x)","\frac{2\,\sqrt{x^3-1}}{9\,x^9}-\frac{2\,\sqrt{x^3-1}}{9\,x^6}-\frac{2\,\sqrt{x^3-1}}{3\,x^3}-\frac{2\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(2*(x^3 - 1)^(1/2))/(9*x^9) - (2*(x^3 - 1)^(1/2))/(9*x^6) - (2*(x^3 - 1)^(1/2))/(3*x^3) - (2*((3^(1/2)*1i)/2 + 3/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi((3^(1/2)*1i)/2 + 3/2, asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2)","B"
534,1,29,41,0.537926,"\text{Not used}","int((13*x^6 - 4)/(x*(x^6 - 1)^(1/2)*(4*x^6 - 1)),x)","\frac{4\,\mathrm{atan}\left(\sqrt{x^6-1}\right)}{3}-\frac{\sqrt{3}\,\mathrm{atan}\left(\frac{2\,\sqrt{3}\,\sqrt{x^6-1}}{3}\right)}{6}","Not used",1,"(4*atan((x^6 - 1)^(1/2)))/3 - (3^(1/2)*atan((2*3^(1/2)*(x^6 - 1)^(1/2))/3))/6","B"
535,0,-1,41,0.000000,"\text{Not used}","int(-(b - 2*a*x^3)/((a*x^6 + b*x^3)^(1/4)*(b - x + a*x^3)),x)","\int -\frac{b-2\,a\,x^3}{{\left(a\,x^6+b\,x^3\right)}^{1/4}\,\left(a\,x^3-x+b\right)} \,d x","Not used",1,"int(-(b - 2*a*x^3)/((a*x^6 + b*x^3)^(1/4)*(b - x + a*x^3)), x)","F"
536,0,-1,41,0.000000,"\text{Not used}","int((x^3*(b + 2*a*x^5))/((b*x + a*x^6)^(1/4)*(a*x^10 + b*x^5 - 1)),x)","\int \frac{x^3\,\left(2\,a\,x^5+b\right)}{{\left(a\,x^6+b\,x\right)}^{1/4}\,\left(a\,x^{10}+b\,x^5-1\right)} \,d x","Not used",1,"int((x^3*(b + 2*a*x^5))/((b*x + a*x^6)^(1/4)*(a*x^10 + b*x^5 - 1)), x)","F"
537,1,30,42,0.279749,"\text{Not used}","int((x^3 + 1)^(1/4)/x,x)","\frac{4\,{\left(x^3+1\right)}^{1/4}}{3}-\frac{2\,\mathrm{atanh}\left({\left(x^3+1\right)}^{1/4}\right)}{3}-\frac{2\,\mathrm{atan}\left({\left(x^3+1\right)}^{1/4}\right)}{3}","Not used",1,"(4*(x^3 + 1)^(1/4))/3 - (2*atanh((x^3 + 1)^(1/4)))/3 - (2*atan((x^3 + 1)^(1/4)))/3","B"
538,1,456,42,10.902260,"\text{Not used}","int((a*p*x^3 - 2*a*q + 3*b*p*x^2)/((q + p*x^3)^(1/2)*(d*q + b^2*c + d*p*x^3 + a^2*c*x^2 + 2*a*b*c*x)),x)","\frac{\ln\left(\frac{\left(a^3\,b\,c\,1{}\mathrm{i}-b^2\,d\,p\,1{}\mathrm{i}+a^4\,c\,x\,1{}\mathrm{i}+2\,a^3\,\sqrt{c}\,\sqrt{d}\,\sqrt{p\,x^3+q}-a^2\,d\,p\,x^2\,1{}\mathrm{i}+a\,b\,d\,p\,x\,1{}\mathrm{i}\right)\,\left(a^3\,b^3\,c^2\,1{}\mathrm{i}+a^6\,c^2\,x^3\,1{}\mathrm{i}+a^4\,b^2\,c^2\,x\,3{}\mathrm{i}+a^5\,b\,c^2\,x^2\,3{}\mathrm{i}-b^4\,c\,d\,p\,1{}\mathrm{i}+b^2\,d^2\,p\,\left(p\,x^3+q\right)\,1{}\mathrm{i}+a^2\,d^2\,p\,x^2\,\left(p\,x^3+q\right)\,1{}\mathrm{i}+a^3\,b\,c\,d\,q\,1{}\mathrm{i}+a^3\,b\,c\,d\,\left(p\,x^3+q\right)\,2{}\mathrm{i}+a^4\,c\,d\,q\,x\,1{}\mathrm{i}+a^4\,c\,d\,x\,\left(p\,x^3+q\right)\,2{}\mathrm{i}+2\,a^3\,\sqrt{c}\,d^{3/2}\,q\,\sqrt{p\,x^3+q}-2\,b^3\,\sqrt{c}\,d^{3/2}\,p\,\sqrt{p\,x^3+q}-a\,b^3\,c\,d\,p\,x\,1{}\mathrm{i}-a\,b\,d^2\,p\,x\,\left(p\,x^3+q\right)\,1{}\mathrm{i}\right)}{\left(c\,a^2\,x^2+2\,c\,a\,b\,x+c\,b^2+d\,p\,x^3+d\,q\right)\,\left(a^8\,c^2\,x^2+2\,a^7\,b\,c^2\,x+a^6\,b^2\,c^2+2\,a^6\,c\,d\,p\,x^3+4\,q\,a^6\,c\,d+a^4\,d^2\,p^2\,x^4-2\,a^3\,b^3\,c\,d\,p-2\,a^3\,b\,d^2\,p^2\,x^3+3\,a^2\,b^2\,d^2\,p^2\,x^2-2\,a\,b^3\,d^2\,p^2\,x+b^4\,d^2\,p^2\right)}\right)\,1{}\mathrm{i}}{\sqrt{c}\,\sqrt{d}}","Not used",1,"(log(((a^3*b*c*1i - b^2*d*p*1i + a^4*c*x*1i + 2*a^3*c^(1/2)*d^(1/2)*(q + p*x^3)^(1/2) - a^2*d*p*x^2*1i + a*b*d*p*x*1i)*(a^3*b^3*c^2*1i + a^6*c^2*x^3*1i + a^4*b^2*c^2*x*3i + a^5*b*c^2*x^2*3i - b^4*c*d*p*1i + b^2*d^2*p*(q + p*x^3)*1i + a^2*d^2*p*x^2*(q + p*x^3)*1i + a^3*b*c*d*q*1i + a^3*b*c*d*(q + p*x^3)*2i + a^4*c*d*q*x*1i + a^4*c*d*x*(q + p*x^3)*2i + 2*a^3*c^(1/2)*d^(3/2)*q*(q + p*x^3)^(1/2) - 2*b^3*c^(1/2)*d^(3/2)*p*(q + p*x^3)^(1/2) - a*b^3*c*d*p*x*1i - a*b*d^2*p*x*(q + p*x^3)*1i))/((d*q + b^2*c + d*p*x^3 + a^2*c*x^2 + 2*a*b*c*x)*(a^6*b^2*c^2 + b^4*d^2*p^2 + a^8*c^2*x^2 + 4*a^6*c*d*q + a^4*d^2*p^2*x^4 + 2*a^7*b*c^2*x - 2*a^3*b^3*c*d*p + 2*a^6*c*d*p*x^3 + 3*a^2*b^2*d^2*p^2*x^2 - 2*a*b^3*d^2*p^2*x - 2*a^3*b*d^2*p^2*x^3)))*1i)/(c^(1/2)*d^(1/2))","B"
539,0,-1,42,0.000000,"\text{Not used}","int(((x^3 - 1)*(x^6 - 1)^(1/2))/(x^7*(x^3 + 1)),x)","\int \frac{\left(x^3-1\right)\,\sqrt{x^6-1}}{x^7\,\left(x^3+1\right)} \,d x","Not used",1,"int(((x^3 - 1)*(x^6 - 1)^(1/2))/(x^7*(x^3 + 1)), x)","F"
540,0,-1,42,0.000000,"\text{Not used}","int(((x^3 + 1)*(x^6 - 1)^(1/2))/(x^7*(x^3 - 1)),x)","\int \frac{\left(x^3+1\right)\,\sqrt{x^6-1}}{x^7\,\left(x^3-1\right)} \,d x","Not used",1,"int(((x^3 + 1)*(x^6 - 1)^(1/2))/(x^7*(x^3 - 1)), x)","F"
541,1,30,42,0.308720,"\text{Not used}","int((x^6 + 1)^(1/4)/x,x)","\frac{2\,{\left(x^6+1\right)}^{1/4}}{3}-\frac{\mathrm{atanh}\left({\left(x^6+1\right)}^{1/4}\right)}{3}-\frac{\mathrm{atan}\left({\left(x^6+1\right)}^{1/4}\right)}{3}","Not used",1,"(2*(x^6 + 1)^(1/4))/3 - atanh((x^6 + 1)^(1/4))/3 - atan((x^6 + 1)^(1/4))/3","B"
542,0,-1,42,0.000000,"\text{Not used}","int((x^12 + 1)/(x^4*(x^6 - 1)^(1/2)),x)","\int \frac{x^{12}+1}{x^4\,\sqrt{x^6-1}} \,d x","Not used",1,"int((x^12 + 1)/(x^4*(x^6 - 1)^(1/2)), x)","F"
543,1,201,43,0.045144,"\text{Not used}","int(1/(x^10*(x^3 + 1)^(1/2)),x)","\frac{5\,\sqrt{x^3+1}}{36\,x^6}-\frac{5\,\sqrt{x^3+1}}{24\,x^3}-\frac{\sqrt{x^3+1}}{9\,x^9}+\frac{5\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{8\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(5*(x^3 + 1)^(1/2))/(36*x^6) - (5*(x^3 + 1)^(1/2))/(24*x^3) - (x^3 + 1)^(1/2)/(9*x^9) + (5*((3^(1/2)*1i)/2 + 3/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi((3^(1/2)*1i)/2 + 3/2, asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(8*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2))","B"
544,1,85,43,0.300595,"\text{Not used}","int((x^3 - 1)/(x^6*(x^2 + x^3)^(1/3)),x)","\frac{19071\,{\left(x^3+x^2\right)}^{2/3}}{26180\,x^3}-\frac{57213\,{\left(x^3+x^2\right)}^{2/3}}{52360\,x^2}-\frac{6357\,{\left(x^3+x^2\right)}^{2/3}}{10472\,x^4}+\frac{270\,{\left(x^3+x^2\right)}^{2/3}}{1309\,x^5}-\frac{45\,{\left(x^3+x^2\right)}^{2/3}}{238\,x^6}+\frac{3\,{\left(x^3+x^2\right)}^{2/3}}{17\,x^7}","Not used",1,"(19071*(x^2 + x^3)^(2/3))/(26180*x^3) - (57213*(x^2 + x^3)^(2/3))/(52360*x^2) - (6357*(x^2 + x^3)^(2/3))/(10472*x^4) + (270*(x^2 + x^3)^(2/3))/(1309*x^5) - (45*(x^2 + x^3)^(2/3))/(238*x^6) + (3*(x^2 + x^3)^(2/3))/(17*x^7)","B"
545,1,70,43,1.307272,"\text{Not used}","int(((x^3 + 1)^(1/2)*(x^3 - 2)*(x^2 + 2*x^3 + 2))/(x^4*(x^2 + x^3 + 1)),x)","\frac{4\,\sqrt{x^3+1}}{3}-\frac{2\,\sqrt{x^3+1}}{x}+\frac{4\,\sqrt{x^3+1}}{3\,x^3}+\ln\left(\frac{x^3-x^2+1+x\,\sqrt{x^3+1}\,2{}\mathrm{i}}{x^3+x^2+1}\right)\,1{}\mathrm{i}","Not used",1,"log((x*(x^3 + 1)^(1/2)*2i - x^2 + x^3 + 1)/(x^2 + x^3 + 1))*1i + (4*(x^3 + 1)^(1/2))/3 - (2*(x^3 + 1)^(1/2))/x + (4*(x^3 + 1)^(1/2))/(3*x^3)","B"
546,0,-1,43,0.000000,"\text{Not used}","int(((x^4 - 1)*(x^2 + x^4 + 1)^(1/2))/((x^4 + 1)*(x^4 - x^2 + 1)),x)","\int \frac{\left(x^4-1\right)\,\sqrt{x^4+x^2+1}}{\left(x^4+1\right)\,\left(x^4-x^2+1\right)} \,d x","Not used",1,"int(((x^4 - 1)*(x^2 + x^4 + 1)^(1/2))/((x^4 + 1)*(x^4 - x^2 + 1)), x)","F"
547,0,-1,43,0.000000,"\text{Not used}","int(-((x - 2*x^4 + 2)*(x + x^2 + x^4 + 1)^(1/2))/(x + x^4 + 1)^2,x)","\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","Not used",1,"int(-((x - 2*x^4 + 2)*(x + x^2 + x^4 + 1)^(1/2))/(x + x^4 + 1)^2, x)","F"
548,1,55,43,0.566119,"\text{Not used}","int(-((x^4 - 1)*(3*x^4 + 1))/(x*(x^5 - x)^(1/2)*(a*x - x^4 + 1)),x)","\sqrt{a}\,\ln\left(\frac{a\,x-2\,\sqrt{a}\,\sqrt{x^5-x}+x^4-1}{-x^4+a\,x+1}\right)+\frac{2\,\sqrt{x^5-x}}{x}","Not used",1,"a^(1/2)*log((a*x - 2*a^(1/2)*(x^5 - x)^(1/2) + x^4 - 1)/(a*x - x^4 + 1)) + (2*(x^5 - x)^(1/2))/x","B"
549,1,47,43,0.593874,"\text{Not used}","int(1/(x^19*(x^6 - 1)^(1/2)),x)","\frac{5\,\mathrm{atan}\left(\sqrt{x^6-1}\right)}{48}+\frac{11\,\sqrt{x^6-1}}{48\,x^{18}}+\frac{5\,{\left(x^6-1\right)}^{3/2}}{18\,x^{18}}+\frac{5\,{\left(x^6-1\right)}^{5/2}}{48\,x^{18}}","Not used",1,"(5*atan((x^6 - 1)^(1/2)))/48 + (11*(x^6 - 1)^(1/2))/(48*x^18) + (5*(x^6 - 1)^(3/2))/(18*x^18) + (5*(x^6 - 1)^(5/2))/(48*x^18)","B"
550,0,-1,43,0.000000,"\text{Not used}","int(x^14/(x^6 - 1)^(1/2),x)","\int \frac{x^{14}}{\sqrt{x^6-1}} \,d x","Not used",1,"int(x^14/(x^6 - 1)^(1/2), x)","F"
551,1,47,43,0.549670,"\text{Not used}","int((x^6 - 1)^(1/2)/x^19,x)","\frac{\mathrm{atan}\left(\sqrt{x^6-1}\right)}{48}-\frac{\sqrt{x^6-1}}{48\,x^{18}}+\frac{{\left(x^6-1\right)}^{3/2}}{18\,x^{18}}+\frac{{\left(x^6-1\right)}^{5/2}}{48\,x^{18}}","Not used",1,"atan((x^6 - 1)^(1/2))/48 - (x^6 - 1)^(1/2)/(48*x^18) + (x^6 - 1)^(3/2)/(18*x^18) + (x^6 - 1)^(5/2)/(48*x^18)","B"
552,0,-1,43,0.000000,"\text{Not used}","int(x^8*(x^6 - 1)^(1/2),x)","\int x^8\,\sqrt{x^6-1} \,d x","Not used",1,"int(x^8*(x^6 - 1)^(1/2), x)","F"
553,0,-1,43,0.000000,"\text{Not used}","int((x^6 - 1)/((x^4 + 1)^(1/2)*(x^6 + 1)),x)","\int \frac{x^6-1}{\sqrt{x^4+1}\,\left(x^6+1\right)} \,d x","Not used",1,"int((x^6 - 1)/((x^4 + 1)^(1/2)*(x^6 + 1)), x)","F"
554,0,-1,43,0.000000,"\text{Not used}","int(x^14/(x^6 + 1)^(1/2),x)","\int \frac{x^{14}}{\sqrt{x^6+1}} \,d x","Not used",1,"int(x^14/(x^6 + 1)^(1/2), x)","F"
555,1,85,43,1.011846,"\text{Not used}","int((x^6 - 1)/(x^19*(x^6 + 1)^(1/2)),x)","\frac{\frac{5\,\sqrt{x^6+1}}{24}-\frac{{\left(x^6+1\right)}^{3/2}}{8}}{2\,x^6-{\left(x^6+1\right)}^2+1}-\frac{11\,\mathrm{atanh}\left(\sqrt{x^6+1}\right)}{48}+\frac{11\,\sqrt{x^6+1}}{48\,x^{18}}-\frac{5\,{\left(x^6+1\right)}^{3/2}}{18\,x^{18}}+\frac{5\,{\left(x^6+1\right)}^{5/2}}{48\,x^{18}}","Not used",1,"((5*(x^6 + 1)^(1/2))/24 - (x^6 + 1)^(3/2)/8)/(2*x^6 - (x^6 + 1)^2 + 1) - (11*atanh((x^6 + 1)^(1/2)))/48 + (11*(x^6 + 1)^(1/2))/(48*x^18) - (5*(x^6 + 1)^(3/2))/(18*x^18) + (5*(x^6 + 1)^(5/2))/(48*x^18)","B"
556,0,-1,43,0.000000,"\text{Not used}","int(-(x^6 + 1)/((x^4 + 1)^(1/2)*(x^6 - 1)),x)","\int -\frac{x^6+1}{\sqrt{x^4+1}\,\left(x^6-1\right)} \,d x","Not used",1,"int(-(x^6 + 1)/((x^4 + 1)^(1/2)*(x^6 - 1)), x)","F"
557,0,-1,43,0.000000,"\text{Not used}","int((x^6 + 1)/((x^4 + 1)^(1/2)*(x^6 - 1)),x)","\int \frac{x^6+1}{\sqrt{x^4+1}\,\left(x^6-1\right)} \,d x","Not used",1,"int((x^6 + 1)/((x^4 + 1)^(1/2)*(x^6 - 1)), x)","F"
558,0,-1,43,0.000000,"\text{Not used}","int(-((x^5 - 1)*(4*x^5 + 1))/(x*(x^6 - x)^(1/2)*(a*x - x^5 + 1)),x)","-\int \frac{\left(x^5-1\right)\,\left(4\,x^5+1\right)}{x\,\sqrt{x^6-x}\,\left(-x^5+a\,x+1\right)} \,d x","Not used",1,"-int(((x^5 - 1)*(4*x^5 + 1))/(x*(x^6 - x)^(1/2)*(a*x - x^5 + 1)), x)","F"
559,1,198,43,0.236936,"\text{Not used}","int(((x^3 + 2)*(x^3 + x^6 + 1))/(x^7*(x^3 + 1)^(1/2)),x)","\frac{2\,\sqrt{x^3+1}}{3}-\frac{\sqrt{x^3+1}}{2\,x^3}-\frac{\sqrt{x^3+1}}{3\,x^6}-\frac{9\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{2\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(2*(x^3 + 1)^(1/2))/3 - (x^3 + 1)^(1/2)/(2*x^3) - (x^3 + 1)^(1/2)/(3*x^6) - (9*((3^(1/2)*1i)/2 + 3/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi((3^(1/2)*1i)/2 + 3/2, asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(2*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2))","B"
560,0,-1,43,0.000000,"\text{Not used}","int(-(x - 4*x^6)/((x^5 + 1)*(x + x^6)^(1/2)*(a - x + a*x^5)),x)","\int -\frac{x-4\,x^6}{\left(x^5+1\right)\,\sqrt{x^6+x}\,\left(a\,x^5-x+a\right)} \,d x","Not used",1,"int(-(x - 4*x^6)/((x^5 + 1)*(x + x^6)^(1/2)*(a - x + a*x^5)), x)","F"
561,0,-1,43,0.000000,"\text{Not used}","int((x^3 + x^6 + 2)/(x*(x^6 + 1)^(1/4)*(5*x^3 - 4*x^6 + x^9 - 4)),x)","\int \frac{x^6+x^3+2}{x\,{\left(x^6+1\right)}^{1/4}\,\left(x^9-4\,x^6+5\,x^3-4\right)} \,d x","Not used",1,"int((x^3 + x^6 + 2)/(x*(x^6 + 1)^(1/4)*(5*x^3 - 4*x^6 + x^9 - 4)), x)","F"
562,0,-1,43,0.000000,"\text{Not used}","int((47250*x^2 - 5265*x - 225810*x^3 + 615255*x^4 - 954733*x^5 + 820340*x^6 - 401440*x^7 + 112000*x^8 - 16640*x^9 + 1024*x^10 + 243)^(1/5),x)","\int {\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)}^{1/5} \,d x","Not used",1,"int((47250*x^2 - 5265*x - 225810*x^3 + 615255*x^4 - 954733*x^5 + 820340*x^6 - 401440*x^7 + 112000*x^8 - 16640*x^9 + 1024*x^10 + 243)^(1/5), x)","F"
563,0,-1,43,0.000000,"\text{Not used}","int(-(2*a*x^8 - b*x^3)/((a*x^6 - b*x)^(1/4)*(b*x^5 - a*x^10 + 1)),x)","\int -\frac{2\,a\,x^8-b\,x^3}{{\left(a\,x^6-b\,x\right)}^{1/4}\,\left(-a\,x^{10}+b\,x^5+1\right)} \,d x","Not used",1,"int(-(2*a*x^8 - b*x^3)/((a*x^6 - b*x)^(1/4)*(b*x^5 - a*x^10 + 1)), x)","F"
564,0,-1,43,0.000000,"\text{Not used}","int((x^5*(7*b - 10*a*x^3))/((a*x^6 - b*x^3)^(1/4)*(b*x^7 - a*x^10 + 1)),x)","\int \frac{x^5\,\left(7\,b-10\,a\,x^3\right)}{{\left(a\,x^6-b\,x^3\right)}^{1/4}\,\left(-a\,x^{10}+b\,x^7+1\right)} \,d x","Not used",1,"int((x^5*(7*b - 10*a*x^3))/((a*x^6 - b*x^3)^(1/4)*(b*x^7 - a*x^10 + 1)), x)","F"
565,0,-1,43,0.000000,"\text{Not used}","int(1/(x*(a*x^2 + b*x*((a^2*x^2)/b^2 - a/b^2)^(1/2))^(1/2)*((a^2*x^2)/b^2 - a/b^2)^(1/2)),x)","\int \frac{1}{x\,\sqrt{a\,x^2+b\,x\,\sqrt{\frac{a^2\,x^2}{b^2}-\frac{a}{b^2}}}\,\sqrt{\frac{a^2\,x^2}{b^2}-\frac{a}{b^2}}} \,d x","Not used",1,"int(1/(x*(a*x^2 + b*x*((a^2*x^2)/b^2 - a/b^2)^(1/2))^(1/2)*((a^2*x^2)/b^2 - a/b^2)^(1/2)), x)","F"
566,1,465,44,0.372915,"\text{Not used}","int((a*b - 2*a*x + x^2)/((x*(a - x)*(b - x))^(1/2)*(a*d + x^2 - x*(b + d))),x)","\frac{2\,b\,\sqrt{\frac{x}{b}}\,\sqrt{\frac{b-x}{b}}\,\sqrt{\frac{a-x}{a-b}}\,\Pi \left(\frac{b}{\frac{b}{2}-\frac{d}{2}+\frac{\sqrt{b^2+2\,b\,d+d^2-4\,a\,d}}{2}};\mathrm{asin}\left(\sqrt{\frac{b-x}{b}}\right)\middle|-\frac{b}{a-b}\right)\,\left(\left(\frac{b}{2}+\frac{d}{2}-\frac{\sqrt{b^2+2\,b\,d+d^2-4\,a\,d}}{2}\right)\,\left(b-2\,a+d\right)+a\,b-a\,d\right)}{\sqrt{x^3+\left(-a-b\right)\,x^2+a\,b\,x}\,\left(\frac{b}{2}-\frac{d}{2}+\frac{\sqrt{b^2+2\,b\,d+d^2-4\,a\,d}}{2}\right)\,\sqrt{b^2+2\,b\,d+d^2-4\,a\,d}}-\frac{2\,b\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{b-x}{b}}\right)\middle|-\frac{b}{a-b}\right)\,\sqrt{\frac{x}{b}}\,\sqrt{\frac{b-x}{b}}\,\sqrt{\frac{a-x}{a-b}}}{\sqrt{x^3+\left(-a-b\right)\,x^2+a\,b\,x}}+\frac{2\,b\,\sqrt{\frac{x}{b}}\,\sqrt{\frac{b-x}{b}}\,\sqrt{\frac{a-x}{a-b}}\,\Pi \left(-\frac{b}{\frac{d}{2}-\frac{b}{2}+\frac{\sqrt{b^2+2\,b\,d+d^2-4\,a\,d}}{2}};\mathrm{asin}\left(\sqrt{\frac{b-x}{b}}\right)\middle|-\frac{b}{a-b}\right)\,\left(\left(\frac{b}{2}+\frac{d}{2}+\frac{\sqrt{b^2+2\,b\,d+d^2-4\,a\,d}}{2}\right)\,\left(b-2\,a+d\right)+a\,b-a\,d\right)}{\sqrt{x^3+\left(-a-b\right)\,x^2+a\,b\,x}\,\left(\frac{d}{2}-\frac{b}{2}+\frac{\sqrt{b^2+2\,b\,d+d^2-4\,a\,d}}{2}\right)\,\sqrt{b^2+2\,b\,d+d^2-4\,a\,d}}","Not used",1,"(2*b*(x/b)^(1/2)*((b - x)/b)^(1/2)*((a - x)/(a - b))^(1/2)*ellipticPi(b/(b/2 - d/2 + (2*b*d - 4*a*d + b^2 + d^2)^(1/2)/2), asin(((b - x)/b)^(1/2)), -b/(a - b))*((b/2 + d/2 - (2*b*d - 4*a*d + b^2 + d^2)^(1/2)/2)*(b - 2*a + d) + a*b - a*d))/((x^3 - x^2*(a + b) + a*b*x)^(1/2)*(b/2 - d/2 + (2*b*d - 4*a*d + b^2 + d^2)^(1/2)/2)*(2*b*d - 4*a*d + b^2 + d^2)^(1/2)) - (2*b*ellipticF(asin(((b - x)/b)^(1/2)), -b/(a - b))*(x/b)^(1/2)*((b - x)/b)^(1/2)*((a - x)/(a - b))^(1/2))/(x^3 - x^2*(a + b) + a*b*x)^(1/2) + (2*b*(x/b)^(1/2)*((b - x)/b)^(1/2)*((a - x)/(a - b))^(1/2)*ellipticPi(-b/(d/2 - b/2 + (2*b*d - 4*a*d + b^2 + d^2)^(1/2)/2), asin(((b - x)/b)^(1/2)), -b/(a - b))*((b/2 + d/2 + (2*b*d - 4*a*d + b^2 + d^2)^(1/2)/2)*(b - 2*a + d) + a*b - a*d))/((x^3 - x^2*(a + b) + a*b*x)^(1/2)*(d/2 - b/2 + (2*b*d - 4*a*d + b^2 + d^2)^(1/2)/2)*(2*b*d - 4*a*d + b^2 + d^2)^(1/2))","B"
567,1,437,44,0.380341,"\text{Not used}","int((a*b - 2*a*x + x^2)/((x*(a - x)*(b - x))^(1/2)*(a - x*(b*d + 1) + d*x^2)),x)","\frac{b\,\sqrt{\frac{x}{b}}\,\sqrt{\frac{b-x}{b}}\,\sqrt{\frac{a-x}{a-b}}\,\Pi \left(\frac{b}{b-\frac{b\,d-\sqrt{b^2\,d^2+2\,b\,d-4\,a\,d+1}+1}{2\,d}};\mathrm{asin}\left(\sqrt{\frac{b-x}{b}}\right)\middle|-\frac{b}{a-b}\right)\,\left(2\,a\,d-b\,d+\sqrt{b^2\,d^2+2\,b\,d-4\,a\,d+1}-1\right)}{d^2\,\left(b-\frac{b\,d-\sqrt{b^2\,d^2+2\,b\,d-4\,a\,d+1}+1}{2\,d}\right)\,\sqrt{x^3+\left(-a-b\right)\,x^2+a\,b\,x}}-\frac{2\,b\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{b-x}{b}}\right)\middle|-\frac{b}{a-b}\right)\,\sqrt{\frac{x}{b}}\,\sqrt{\frac{b-x}{b}}\,\sqrt{\frac{a-x}{a-b}}}{d\,\sqrt{x^3+\left(-a-b\right)\,x^2+a\,b\,x}}-\frac{b\,\sqrt{\frac{x}{b}}\,\sqrt{\frac{b-x}{b}}\,\sqrt{\frac{a-x}{a-b}}\,\Pi \left(\frac{b}{b-\frac{b\,d+\sqrt{b^2\,d^2+2\,b\,d-4\,a\,d+1}+1}{2\,d}};\mathrm{asin}\left(\sqrt{\frac{b-x}{b}}\right)\middle|-\frac{b}{a-b}\right)\,\left(b\,d-2\,a\,d+\sqrt{b^2\,d^2+2\,b\,d-4\,a\,d+1}+1\right)}{d^2\,\left(b-\frac{b\,d+\sqrt{b^2\,d^2+2\,b\,d-4\,a\,d+1}+1}{2\,d}\right)\,\sqrt{x^3+\left(-a-b\right)\,x^2+a\,b\,x}}","Not used",1,"(b*(x/b)^(1/2)*((b - x)/b)^(1/2)*((a - x)/(a - b))^(1/2)*ellipticPi(b/(b - (b*d - (2*b*d - 4*a*d + b^2*d^2 + 1)^(1/2) + 1)/(2*d)), asin(((b - x)/b)^(1/2)), -b/(a - b))*(2*a*d - b*d + (2*b*d - 4*a*d + b^2*d^2 + 1)^(1/2) - 1))/(d^2*(b - (b*d - (2*b*d - 4*a*d + b^2*d^2 + 1)^(1/2) + 1)/(2*d))*(x^3 - x^2*(a + b) + a*b*x)^(1/2)) - (2*b*ellipticF(asin(((b - x)/b)^(1/2)), -b/(a - b))*(x/b)^(1/2)*((b - x)/b)^(1/2)*((a - x)/(a - b))^(1/2))/(d*(x^3 - x^2*(a + b) + a*b*x)^(1/2)) - (b*(x/b)^(1/2)*((b - x)/b)^(1/2)*((a - x)/(a - b))^(1/2)*ellipticPi(b/(b - (b*d + (2*b*d - 4*a*d + b^2*d^2 + 1)^(1/2) + 1)/(2*d)), asin(((b - x)/b)^(1/2)), -b/(a - b))*(b*d - 2*a*d + (2*b*d - 4*a*d + b^2*d^2 + 1)^(1/2) + 1))/(d^2*(b - (b*d + (2*b*d - 4*a*d + b^2*d^2 + 1)^(1/2) + 1)/(2*d))*(x^3 - x^2*(a + b) + a*b*x)^(1/2))","B"
568,1,61,44,1.131226,"\text{Not used}","int(((x^3 - 2)*(x^3 - x^2 + 1)^(1/2))/(x^3 + 1)^2,x)","-\frac{x\,\sqrt{x^3-x^2+1}}{x^3+1}+\frac{\ln\left(\frac{x^3-2\,x^2+1+x\,\sqrt{x^3-x^2+1}\,2{}\mathrm{i}}{x^3+1}\right)\,1{}\mathrm{i}}{2}","Not used",1,"(log((x*(x^3 - x^2 + 1)^(1/2)*2i - 2*x^2 + x^3 + 1)/(x^3 + 1))*1i)/2 - (x*(x^3 - x^2 + 1)^(1/2))/(x^3 + 1)","B"
569,1,589,44,0.688232,"\text{Not used}","int((a^2*b + x^2*(a - 2*b) + x^3 - a*x*(2*a - b))/((x*(a - x)*(b - x))^(1/2)*(x*(b*d + 3*a^2) - x^2*(3*a + d) - a^3 + x^3)),x)","\left(\sum _{k=1}^3\frac{2\,b\,\sqrt{\frac{x}{b}}\,\sqrt{\frac{b-x}{b}}\,\sqrt{\frac{a-x}{a-b}}\,\Pi \left(-\frac{b}{\mathrm{root}\left(z^3-z^2\,\left(3\,a+d\right)+z\,\left(b\,d+3\,a^2\right)-a^3,z,k\right)-b};\mathrm{asin}\left(\sqrt{\frac{b-x}{b}}\right)\middle|-\frac{b}{a-b}\right)\,\left(a^2\,b+a^3+4\,a\,{\mathrm{root}\left(z^3-z^2\,\left(3\,a+d\right)+z\,\left(b\,d+3\,a^2\right)-a^3,z,k\right)}^2-5\,a^2\,\mathrm{root}\left(z^3-z^2\,\left(3\,a+d\right)+z\,\left(b\,d+3\,a^2\right)-a^3,z,k\right)-2\,b\,{\mathrm{root}\left(z^3-z^2\,\left(3\,a+d\right)+z\,\left(b\,d+3\,a^2\right)-a^3,z,k\right)}^2+d\,{\mathrm{root}\left(z^3-z^2\,\left(3\,a+d\right)+z\,\left(b\,d+3\,a^2\right)-a^3,z,k\right)}^2+a\,b\,\mathrm{root}\left(z^3-z^2\,\left(3\,a+d\right)+z\,\left(b\,d+3\,a^2\right)-a^3,z,k\right)-b\,d\,\mathrm{root}\left(z^3-z^2\,\left(3\,a+d\right)+z\,\left(b\,d+3\,a^2\right)-a^3,z,k\right)\right)}{\left(\mathrm{root}\left(z^3-z^2\,\left(3\,a+d\right)+z\,\left(b\,d+3\,a^2\right)-a^3,z,k\right)-b\right)\,\sqrt{x\,\left(a-x\right)\,\left(b-x\right)}\,\left(3\,a^2-6\,a\,\mathrm{root}\left(z^3-z^2\,\left(3\,a+d\right)+z\,\left(b\,d+3\,a^2\right)-a^3,z,k\right)+3\,{\mathrm{root}\left(z^3-z^2\,\left(3\,a+d\right)+z\,\left(b\,d+3\,a^2\right)-a^3,z,k\right)}^2-2\,d\,\mathrm{root}\left(z^3-z^2\,\left(3\,a+d\right)+z\,\left(b\,d+3\,a^2\right)-a^3,z,k\right)+b\,d\right)}\right)-\frac{2\,b\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{b-x}{b}}\right)\middle|-\frac{b}{a-b}\right)\,\sqrt{\frac{x}{b}}\,\sqrt{\frac{b-x}{b}}\,\sqrt{\frac{a-x}{a-b}}}{\sqrt{x^3+\left(-a-b\right)\,x^2+a\,b\,x}}","Not used",1,"symsum((2*b*(x/b)^(1/2)*((b - x)/b)^(1/2)*((a - x)/(a - b))^(1/2)*ellipticPi(-b/(root(z^3 - z^2*(3*a + d) + z*(b*d + 3*a^2) - a^3, z, k) - b), asin(((b - x)/b)^(1/2)), -b/(a - b))*(a^2*b + a^3 + 4*a*root(z^3 - z^2*(3*a + d) + z*(b*d + 3*a^2) - a^3, z, k)^2 - 5*a^2*root(z^3 - z^2*(3*a + d) + z*(b*d + 3*a^2) - a^3, z, k) - 2*b*root(z^3 - z^2*(3*a + d) + z*(b*d + 3*a^2) - a^3, z, k)^2 + d*root(z^3 - z^2*(3*a + d) + z*(b*d + 3*a^2) - a^3, z, k)^2 + a*b*root(z^3 - z^2*(3*a + d) + z*(b*d + 3*a^2) - a^3, z, k) - b*d*root(z^3 - z^2*(3*a + d) + z*(b*d + 3*a^2) - a^3, z, k)))/((root(z^3 - z^2*(3*a + d) + z*(b*d + 3*a^2) - a^3, z, k) - b)*(x*(a - x)*(b - x))^(1/2)*(b*d + 3*root(z^3 - z^2*(3*a + d) + z*(b*d + 3*a^2) - a^3, z, k)^2 - 6*a*root(z^3 - z^2*(3*a + d) + z*(b*d + 3*a^2) - a^3, z, k) - 2*d*root(z^3 - z^2*(3*a + d) + z*(b*d + 3*a^2) - a^3, z, k) + 3*a^2)), k, 1, 3) - (2*b*ellipticF(asin(((b - x)/b)^(1/2)), -b/(a - b))*(x/b)^(1/2)*((b - x)/b)^(1/2)*((a - x)/(a - b))^(1/2))/(x^3 - x^2*(a + b) + a*b*x)^(1/2)","B"
570,1,368,44,5.924124,"\text{Not used}","int((a^2*b + x^2*(a - 2*b) + x^3 - a*x*(2*a - b))/((x*(a - x)*(b - x))^(1/2)*(x*(b + 3*a^2*d) - a^3*d + d*x^3 - x^2*(3*a*d + 1))),x)","\frac{\ln\left(\frac{\left(a-b+x+a^2\,d-2\,\sqrt{d}\,\sqrt{x\,\left(a-x\right)\,\left(b-x\right)}+d\,x^2-2\,a\,d\,x\right)\,\left(a\,x^2-a^4\,d-2\,b\,x^2+b^2\,x-2\,d\,x^4+x^3-a^5\,d^2+d^2\,x^5+2\,a^2\,\sqrt{d}\,\sqrt{x\,\left(a-x\right)\,\left(b-x\right)}-3\,a^2\,d\,x^2-5\,a\,d^2\,x^4+5\,a^4\,d^2\,x-a\,b\,x+10\,a^2\,d^2\,x^3-10\,a^3\,d^2\,x^2+a^3\,b\,d+4\,a\,d\,x^3+2\,a^3\,d\,x+2\,b\,d\,x^3-2\,a\,b\,\sqrt{d}\,\sqrt{x\,\left(a-x\right)\,\left(b-x\right)}-3\,a\,b\,d\,x^2\right)}{\left(-d\,a^3+3\,d\,a^2\,x-3\,d\,a\,x^2+d\,x^3-x^2+b\,x\right)\,\left(a^4\,d^2-4\,a^3\,d^2\,x+2\,a^3\,d-2\,a^2\,b\,d+6\,a^2\,d^2\,x^2-2\,a^2\,d\,x+a^2-2\,a\,b-4\,a\,d^2\,x^3+2\,a\,d\,x^2+2\,a\,x+b^2+2\,b\,d\,x^2-2\,b\,x+d^2\,x^4-2\,d\,x^3+x^2\right)}\right)}{\sqrt{d}}","Not used",1,"log(((a - b + x + a^2*d - 2*d^(1/2)*(x*(a - x)*(b - x))^(1/2) + d*x^2 - 2*a*d*x)*(a*x^2 - a^4*d - 2*b*x^2 + b^2*x - 2*d*x^4 + x^3 - a^5*d^2 + d^2*x^5 + 2*a^2*d^(1/2)*(x*(a - x)*(b - x))^(1/2) - 3*a^2*d*x^2 - 5*a*d^2*x^4 + 5*a^4*d^2*x - a*b*x + 10*a^2*d^2*x^3 - 10*a^3*d^2*x^2 + a^3*b*d + 4*a*d*x^3 + 2*a^3*d*x + 2*b*d*x^3 - 2*a*b*d^(1/2)*(x*(a - x)*(b - x))^(1/2) - 3*a*b*d*x^2))/((b*x - a^3*d + d*x^3 - x^2 - 3*a*d*x^2 + 3*a^2*d*x)*(2*a*x - 2*a*b - 2*b*x + 2*a^3*d - 2*d*x^3 + a^2 + b^2 + x^2 + a^4*d^2 + d^2*x^4 - 4*a*d^2*x^3 - 4*a^3*d^2*x + 6*a^2*d^2*x^2 - 2*a^2*b*d + 2*a*d*x^2 - 2*a^2*d*x + 2*b*d*x^2)))/d^(1/2)","B"
571,0,-1,44,0.000000,"\text{Not used}","int(-(3*x - 2*x^2)/((2*x + x^3 - 2)*(2*x^2 - 2*x + 3*x^4)^(1/2)),x)","-\int \frac{3\,x-2\,x^2}{\left(x^3+2\,x-2\right)\,\sqrt{3\,x^4+2\,x^2-2\,x}} \,d x","Not used",1,"-int((3*x - 2*x^2)/((2*x + x^3 - 2)*(2*x^2 - 2*x + 3*x^4)^(1/2)), x)","F"
572,1,1058,44,80.208427,"\text{Not used}","int((a*p*x^4 - 3*b*p*x^2 + 4*a*q*x)/((q + p*x^3)^(1/2)*(d*q + b^2*c + d*p*x^3 + a^2*c*x^4 + 2*a*b*c*x^2)),x)","\frac{\ln\left(\frac{\left(-2\,a\,\sqrt{c}\,\sqrt{d}\,\sqrt{p\,x^3+q}+a^2\,c\,x^2\,1{}\mathrm{i}+a\,b\,c\,1{}\mathrm{i}-d\,p\,x\,1{}\mathrm{i}\right)\,\left(a^4\,b^2\,c^2\,q\,1{}\mathrm{i}+a^6\,c^2\,q\,x^4\,1{}\mathrm{i}-b^2\,d^2\,p^3\,x\,1{}\mathrm{i}+a^4\,c\,d\,q^2\,4{}\mathrm{i}+a\,b^3\,c\,d\,p^2\,1{}\mathrm{i}+a^3\,b^3\,c^2\,p\,x\,1{}\mathrm{i}+a^5\,b\,c^2\,p\,x^5\,1{}\mathrm{i}+a\,b\,d^2\,p^3\,x^3\,1{}\mathrm{i}+a^5\,b\,c^2\,q\,x^2\,2{}\mathrm{i}+a^4\,b^2\,c^2\,p\,x^3\,2{}\mathrm{i}+a^2\,d^2\,p^2\,q\,x^2\,1{}\mathrm{i}-a^2\,b^2\,c\,d\,p^2\,x^2\,1{}\mathrm{i}+a^4\,c\,d\,p\,q\,x^3\,2{}\mathrm{i}+2\,a\,b^2\,\sqrt{c}\,d^{3/2}\,p^2\,\sqrt{p\,x^3+q}+a^3\,b\,c\,d\,p^2\,x^4\,2{}\mathrm{i}+a^3\,b\,c\,d\,p\,q\,x\,2{}\mathrm{i}\right)\,\left(-a^3\,b^3\,c^2\,q\,2{}\mathrm{i}+a^3\,b^3\,c^2\,\left(p\,x^3+q\right)\,3{}\mathrm{i}+a^6\,c^2\,q\,x^6\,1{}\mathrm{i}-b^2\,d^2\,p^2\,\left(p\,x^3+q\right)\,1{}\mathrm{i}+b^4\,c\,d\,p^2\,1{}\mathrm{i}+a^3\,b\,c\,d\,q^2\,1{}\mathrm{i}+a^3\,b\,c\,d\,{\left(p\,x^3+q\right)}^2\,2{}\mathrm{i}-2\,a^3\,\sqrt{c}\,d^{3/2}\,q^2\,\sqrt{p\,x^3+q}-2\,b^3\,\sqrt{c}\,d^{3/2}\,p^2\,\sqrt{p\,x^3+q}+a^2\,b^4\,c^2\,p\,x\,1{}\mathrm{i}+a^5\,b\,c^2\,q\,x^4\,2{}\mathrm{i}+a^4\,c\,d\,q^2\,x^2\,1{}\mathrm{i}+a^5\,b\,c^2\,x^4\,\left(p\,x^3+q\right)\,1{}\mathrm{i}+a^4\,b^2\,c^2\,x^2\,\left(p\,x^3+q\right)\,3{}\mathrm{i}+a\,b\,d^2\,p^2\,x^2\,\left(p\,x^3+q\right)\,1{}\mathrm{i}+a^4\,c\,d\,q\,x^2\,\left(p\,x^3+q\right)\,2{}\mathrm{i}+a^2\,d^2\,p\,q\,x\,\left(p\,x^3+q\right)\,1{}\mathrm{i}+a\,b^3\,c\,d\,p^2\,x^2\,1{}\mathrm{i}+a^2\,b^2\,c\,d\,p\,x\,\left(p\,x^3+q\right)\,2{}\mathrm{i}\right)}{\left(c\,a^2\,x^4+2\,c\,a\,b\,x^2+c\,b^2+d\,p\,x^3+d\,q\right)\,\left(a^4\,c^2\,x^4+2\,a^3\,b\,c^2\,x^2+a^2\,b^2\,c^2+2\,a^2\,c\,d\,p\,x^3+4\,q\,a^2\,c\,d-2\,a\,b\,c\,d\,p\,x+d^2\,p^2\,x^2\right)\,\left(a^8\,c^2\,q^2\,x^4+2\,a^7\,b\,c^2\,p\,q\,x^5+2\,a^7\,b\,c^2\,q^2\,x^2+a^6\,b^2\,c^2\,p^2\,x^6+4\,a^6\,b^2\,c^2\,p\,q\,x^3+a^6\,b^2\,c^2\,q^2+2\,a^6\,c\,d\,p\,q^2\,x^3+4\,a^6\,c\,d\,q^3+2\,a^5\,b^3\,c^2\,p^2\,x^4+2\,a^5\,b^3\,c^2\,p\,q\,x+4\,a^5\,b\,c\,d\,p^2\,q\,x^4+6\,a^5\,b\,c\,d\,p\,q^2\,x+a^4\,b^4\,c^2\,p^2\,x^2+2\,a^4\,b^2\,c\,d\,p^3\,x^5+2\,a^4\,b^2\,c\,d\,p^2\,q\,x^2+a^4\,d^2\,p^2\,q^2\,x^2+2\,a^3\,b^3\,c\,d\,p^2\,q+2\,a^3\,b\,d^2\,p^3\,q\,x^3+2\,a^2\,b^4\,c\,d\,p^3\,x+a^2\,b^2\,d^2\,p^4\,x^4-2\,a^2\,b^2\,d^2\,p^3\,q\,x-2\,a\,b^3\,d^2\,p^4\,x^2+b^4\,d^2\,p^4\right)}\right)\,1{}\mathrm{i}}{\sqrt{c}\,\sqrt{d}}","Not used",1,"(log(((a^2*c*x^2*1i + a*b*c*1i - d*p*x*1i - 2*a*c^(1/2)*d^(1/2)*(q + p*x^3)^(1/2))*(a^4*b^2*c^2*q*1i + a^6*c^2*q*x^4*1i - b^2*d^2*p^3*x*1i + a^4*c*d*q^2*4i + a*b^3*c*d*p^2*1i + a^3*b^3*c^2*p*x*1i + a^5*b*c^2*p*x^5*1i + a*b*d^2*p^3*x^3*1i + a^5*b*c^2*q*x^2*2i + a^4*b^2*c^2*p*x^3*2i + a^2*d^2*p^2*q*x^2*1i - a^2*b^2*c*d*p^2*x^2*1i + a^4*c*d*p*q*x^3*2i + 2*a*b^2*c^(1/2)*d^(3/2)*p^2*(q + p*x^3)^(1/2) + a^3*b*c*d*p^2*x^4*2i + a^3*b*c*d*p*q*x*2i)*(a^3*b^3*c^2*(q + p*x^3)*3i - a^3*b^3*c^2*q*2i + a^6*c^2*q*x^6*1i - b^2*d^2*p^2*(q + p*x^3)*1i + b^4*c*d*p^2*1i + a^3*b*c*d*q^2*1i + a^3*b*c*d*(q + p*x^3)^2*2i - 2*a^3*c^(1/2)*d^(3/2)*q^2*(q + p*x^3)^(1/2) - 2*b^3*c^(1/2)*d^(3/2)*p^2*(q + p*x^3)^(1/2) + a^2*b^4*c^2*p*x*1i + a^5*b*c^2*q*x^4*2i + a^4*c*d*q^2*x^2*1i + a^5*b*c^2*x^4*(q + p*x^3)*1i + a^4*b^2*c^2*x^2*(q + p*x^3)*3i + a*b*d^2*p^2*x^2*(q + p*x^3)*1i + a^4*c*d*q*x^2*(q + p*x^3)*2i + a^2*d^2*p*q*x*(q + p*x^3)*1i + a*b^3*c*d*p^2*x^2*1i + a^2*b^2*c*d*p*x*(q + p*x^3)*2i))/((d*q + b^2*c + d*p*x^3 + a^2*c*x^4 + 2*a*b*c*x^2)*(a^2*b^2*c^2 + a^4*c^2*x^4 + d^2*p^2*x^2 + 2*a^3*b*c^2*x^2 + 4*a^2*c*d*q + 2*a^2*c*d*p*x^3 - 2*a*b*c*d*p*x)*(b^4*d^2*p^4 + a^6*b^2*c^2*q^2 + a^8*c^2*q^2*x^4 + 4*a^6*c*d*q^3 + a^4*b^4*c^2*p^2*x^2 + 2*a^5*b^3*c^2*p^2*x^4 + a^6*b^2*c^2*p^2*x^6 + a^2*b^2*d^2*p^4*x^4 + a^4*d^2*p^2*q^2*x^2 - 2*a*b^3*d^2*p^4*x^2 + 2*a^7*b*c^2*q^2*x^2 + 2*a^4*b^2*c*d*p^3*x^5 + 4*a^6*b^2*c^2*p*q*x^3 - 2*a^2*b^2*d^2*p^3*q*x + 2*a^3*b*d^2*p^3*q*x^3 + 2*a^3*b^3*c*d*p^2*q + 2*a^2*b^4*c*d*p^3*x + 2*a^5*b^3*c^2*p*q*x + 2*a^7*b*c^2*p*q*x^5 + 2*a^6*c*d*p*q^2*x^3 + 6*a^5*b*c*d*p*q^2*x + 4*a^5*b*c*d*p^2*q*x^4 + 2*a^4*b^2*c*d*p^2*q*x^2)))*1i)/(c^(1/2)*d^(1/2))","B"
573,0,-1,44,0.000000,"\text{Not used}","int((x^12 + 1)/(x^10*(x^6 - 1)^(1/2)),x)","\int \frac{x^{12}+1}{x^{10}\,\sqrt{x^6-1}} \,d x","Not used",1,"int((x^12 + 1)/(x^10*(x^6 - 1)^(1/2)), x)","F"
574,0,-1,44,0.000000,"\text{Not used}","int((x^2 - 1)/((x^2 + 1)*(5*x^4 + 10*x^8 + 10*x^12 + 5*x^16 + x^20 + 1)^(1/10)),x)","\int \frac{x^2-1}{\left(x^2+1\right)\,{\left(x^{20}+5\,x^{16}+10\,x^{12}+10\,x^8+5\,x^4+1\right)}^{1/10}} \,d x","Not used",1,"int((x^2 - 1)/((x^2 + 1)*(5*x^4 + 10*x^8 + 10*x^12 + 5*x^16 + x^20 + 1)^(1/10)), x)","F"
575,0,-1,44,0.000000,"\text{Not used}","int((b + (a*x^2 + b^2)^(1/2))^(1/2)/(a*x^2 + b^2),x)","\int \frac{\sqrt{b+\sqrt{b^2+a\,x^2}}}{b^2+a\,x^2} \,d x","Not used",1,"int((b + (a*x^2 + b^2)^(1/2))^(1/2)/(a*x^2 + b^2), x)","F"
576,0,-1,44,0.000000,"\text{Not used}","int(((x^4 + 1)^(1/2) + x^2)^(1/2)/(x^4 + 1)^(1/2),x)","\int \frac{\sqrt{\sqrt{x^4+1}+x^2}}{\sqrt{x^4+1}} \,d x","Not used",1,"int(((x^4 + 1)^(1/2) + x^2)^(1/2)/(x^4 + 1)^(1/2), x)","F"
577,1,33,45,0.563585,"\text{Not used}","int(1/(x^3*(x^2 + 1)^(3/4)),x)","\frac{3\,\mathrm{atan}\left({\left(x^2+1\right)}^{1/4}\right)}{4}+\frac{3\,\mathrm{atanh}\left({\left(x^2+1\right)}^{1/4}\right)}{4}-\frac{{\left(x^2+1\right)}^{1/4}}{2\,x^2}","Not used",1,"(3*atan((x^2 + 1)^(1/4)))/4 + (3*atanh((x^2 + 1)^(1/4)))/4 - (x^2 + 1)^(1/4)/(2*x^2)","B"
578,1,33,45,0.581695,"\text{Not used}","int(1/(x^4*(x^3 + 1)^(1/4)),x)","\frac{\mathrm{atanh}\left({\left(x^3+1\right)}^{1/4}\right)}{6}-\frac{\mathrm{atan}\left({\left(x^3+1\right)}^{1/4}\right)}{6}-\frac{{\left(x^3+1\right)}^{3/4}}{3\,x^3}","Not used",1,"atanh((x^3 + 1)^(1/4))/6 - atan((x^3 + 1)^(1/4))/6 - (x^3 + 1)^(3/4)/(3*x^3)","B"
579,1,33,45,0.542900,"\text{Not used}","int((x^3 + 1)^(1/4)/x^4,x)","-\frac{\mathrm{atan}\left({\left(x^3+1\right)}^{1/4}\right)}{6}-\frac{\mathrm{atanh}\left({\left(x^3+1\right)}^{1/4}\right)}{6}-\frac{{\left(x^3+1\right)}^{1/4}}{3\,x^3}","Not used",1,"- atan((x^3 + 1)^(1/4))/6 - atanh((x^3 + 1)^(1/4))/6 - (x^3 + 1)^(1/4)/(3*x^3)","B"
580,0,-1,45,0.000000,"\text{Not used}","int(x^3*(x^4 - x)^(1/2),x)","\int x^3\,\sqrt{x^4-x} \,d x","Not used",1,"int(x^3*(x^4 - x)^(1/2), x)","F"
581,1,50,45,0.713113,"\text{Not used}","int(((x^4 + 1)*(3*x^4 - 1))/(x*(x + x^5)^(1/2)*(x^4 - a*x + 1)),x)","\frac{2\,\sqrt{x^5+x}}{x}+\sqrt{a}\,\ln\left(\frac{a\,x-2\,\sqrt{a}\,\sqrt{x^5+x}+x^4+1}{x^4-a\,x+1}\right)","Not used",1,"(2*(x + x^5)^(1/2))/x + a^(1/2)*log((a*x - 2*a^(1/2)*(x + x^5)^(1/2) + x^4 + 1)/(x^4 - a*x + 1))","B"
582,1,77,45,3.552547,"\text{Not used}","int(((3*x^5 - 2)*(x^2 + x^5 + 1)^(1/2))/((x^5 + 1)*(x^5 - x^2 + 1)),x)","\ln\left(\frac{2\,x\,\sqrt{x^5+x^2+1}+2\,x^2+x^5+1}{x^5+1}\right)+\sqrt{2}\,\ln\left(\frac{3\,x^2+x^5-2\,\sqrt{2}\,x\,\sqrt{x^5+x^2+1}+1}{x^5-x^2+1}\right)","Not used",1,"log((2*x*(x^2 + x^5 + 1)^(1/2) + 2*x^2 + x^5 + 1)/(x^5 + 1)) + 2^(1/2)*log((3*x^2 + x^5 - 2*2^(1/2)*x*(x^2 + x^5 + 1)^(1/2) + 1)/(x^5 - x^2 + 1))","B"
583,1,33,45,0.601071,"\text{Not used}","int((x^6 + 1)^(1/4)/x^7,x)","-\frac{\mathrm{atan}\left({\left(x^6+1\right)}^{1/4}\right)}{12}-\frac{\mathrm{atanh}\left({\left(x^6+1\right)}^{1/4}\right)}{12}-\frac{{\left(x^6+1\right)}^{1/4}}{6\,x^6}","Not used",1,"- atan((x^6 + 1)^(1/4))/12 - atanh((x^6 + 1)^(1/4))/12 - (x^6 + 1)^(1/4)/(6*x^6)","B"
584,0,-1,45,0.000000,"\text{Not used}","int(-((x - 1)^2*(8*x - 5*x^2 - 5*x^3 + 10))/((x^2 - 2)*((x + 1)/(x^2 - 2))^(3/4)*(7*x - 11*x^2 + 4*x^3 + 4*x^4 - 4*x^5 + x^6 - 3)),x)","\int -\frac{{\left(x-1\right)}^2\,\left(-5\,x^3-5\,x^2+8\,x+10\right)}{\left(x^2-2\right)\,{\left(\frac{x+1}{x^2-2}\right)}^{3/4}\,\left(x^6-4\,x^5+4\,x^4+4\,x^3-11\,x^2+7\,x-3\right)} \,d x","Not used",1,"int(-((x - 1)^2*(8*x - 5*x^2 - 5*x^3 + 10))/((x^2 - 2)*((x + 1)/(x^2 - 2))^(3/4)*(7*x - 11*x^2 + 4*x^3 + 4*x^4 - 4*x^5 + x^6 - 3)), x)","F"
585,0,-1,45,0.000000,"\text{Not used}","int(-(x^2*(10*b + 9*a*x))/((a*x^3 + b*x^2)^(1/4)*(b + a*x - x^10)),x)","\int -\frac{x^2\,\left(10\,b+9\,a\,x\right)}{{\left(a\,x^3+b\,x^2\right)}^{1/4}\,\left(-x^{10}+a\,x+b\right)} \,d x","Not used",1,"int(-(x^2*(10*b + 9*a*x))/((a*x^3 + b*x^2)^(1/4)*(b + a*x - x^10)), x)","F"
586,0,-1,45,0.000000,"\text{Not used}","int((x^16 - 1)/((x^4 + 1)^(1/2)*(x^16 + 1)),x)","\int \frac{x^{16}-1}{\sqrt{x^4+1}\,\left(x^{16}+1\right)} \,d x","Not used",1,"int((x^16 - 1)/((x^4 + 1)^(1/2)*(x^16 + 1)), x)","F"
587,0,-1,45,0.000000,"\text{Not used}","int((x^16 - 1)/((x^4 - 1)^(1/2)*(x^16 - x^8 + 1)),x)","\int \frac{x^{16}-1}{\sqrt{x^4-1}\,\left(x^{16}-x^8+1\right)} \,d x","Not used",1,"int((x^16 - 1)/((x^4 - 1)^(1/2)*(x^16 - x^8 + 1)), x)","F"
588,0,-1,45,0.000000,"\text{Not used}","int((x*(x^2 - 1)^(1/2) + x^2)^(1/2)/(x*(x^2 - 1)^(1/2)),x)","\int \frac{\sqrt{x\,\sqrt{x^2-1}+x^2}}{x\,\sqrt{x^2-1}} \,d x","Not used",1,"int((x*(x^2 - 1)^(1/2) + x^2)^(1/2)/(x*(x^2 - 1)^(1/2)), x)","F"
589,0,-1,46,0.000000,"\text{Not used}","int(x^6*(x + x^4)^(1/2),x)","\int x^6\,\sqrt{x^4+x} \,d x","Not used",1,"int(x^6*(x + x^4)^(1/2), x)","F"
590,0,-1,46,0.000000,"\text{Not used}","int(((x - 1)*(x + 1)^3)/((x^2 + 1)^2*(x^2 + x^4 + 1)^(1/2)),x)","\int \frac{\left(x-1\right)\,{\left(x+1\right)}^3}{{\left(x^2+1\right)}^2\,\sqrt{x^4+x^2+1}} \,d x","Not used",1,"int(((x - 1)*(x + 1)^3)/((x^2 + 1)^2*(x^2 + x^4 + 1)^(1/2)), x)","F"
591,0,-1,46,0.000000,"\text{Not used}","int((x^2 - 1)/((x^2 + 1)*(x^4 - x^2 - x^3 - x + 1)^(1/2)),x)","\int \frac{x^2-1}{\left(x^2+1\right)\,\sqrt{x^4-x^3-x^2-x+1}} \,d x","Not used",1,"int((x^2 - 1)/((x^2 + 1)*(x^4 - x^2 - x^3 - x + 1)^(1/2)), x)","F"
592,0,-1,46,0.000000,"\text{Not used}","int(-(2*x - 3*x^2 + 1)/(4*x^3 - x^2 - 2*x - x^4 - 2*x^5 + x^6 - 3)^(1/2),x)","\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","Not used",1,"int(-(2*x - 3*x^2 + 1)/(4*x^3 - x^2 - 2*x - x^4 - 2*x^5 + x^6 - 3)^(1/2), x)","F"
593,0,-1,46,0.000000,"\text{Not used}","int(-(x - x^2)/(4*x^2 - 2*x - 2*x^3 + x^4 - 2*x^5 + x^6)^(1/2),x)","\int -\frac{x-x^2}{\sqrt{x^6-2\,x^5+x^4-2\,x^3+4\,x^2-2\,x}} \,d x","Not used",1,"int(-(x - x^2)/(4*x^2 - 2*x - 2*x^3 + x^4 - 2*x^5 + x^6)^(1/2), x)","F"
594,1,29,47,0.680657,"\text{Not used}","int((x^4 - 1)^(1/4)/x^2,x)","-\frac{{\left(x^4-1\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{4},-\frac{1}{4};\ \frac{3}{4};\ x^4\right)}{x\,{\left(1-x^4\right)}^{1/4}}","Not used",1,"-((x^4 - 1)^(1/4)*hypergeom([-1/4, -1/4], 3/4, x^4))/(x*(1 - x^4)^(1/4))","B"
595,1,39,47,0.733451,"\text{Not used}","int(((x^4 - 1)*(x^4 + 1)^(1/4))/x,x)","\frac{\mathrm{atan}\left({\left(x^4+1\right)}^{1/4}\right)}{2}+\frac{\mathrm{atanh}\left({\left(x^4+1\right)}^{1/4}\right)}{2}-{\left(x^4+1\right)}^{1/4}+\frac{{\left(x^4+1\right)}^{5/4}}{5}","Not used",1,"atan((x^4 + 1)^(1/4))/2 + atanh((x^4 + 1)^(1/4))/2 - (x^4 + 1)^(1/4) + (x^4 + 1)^(5/4)/5","B"
596,0,-1,47,0.000000,"\text{Not used}","int(1/(4*x + x^4 + 3)^(1/2),x)","\int \frac{1}{\sqrt{x^4+4\,x+3}} \,d x","Not used",1,"int(1/(4*x + x^4 + 3)^(1/2), x)","F"
597,0,-1,47,0.000000,"\text{Not used}","int(((x^4 + 1)*(2*x^2 + x^4 - 1)^(1/2))/((x^4 - 1)*(x^2 + x^4 - 1)),x)","\int \frac{\left(x^4+1\right)\,\sqrt{x^4+2\,x^2-1}}{\left(x^4-1\right)\,\left(x^4+x^2-1\right)} \,d x","Not used",1,"int(((x^4 + 1)*(2*x^2 + x^4 - 1)^(1/2))/((x^4 - 1)*(x^2 + x^4 - 1)), x)","F"
598,0,-1,47,0.000000,"\text{Not used}","int(((2*x^4 - x + 2)*(x - x^2 + x^4 - 1)^(1/2))/(x + x^4 - 1)^2,x)","\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","Not used",1,"int(((2*x^4 - x + 2)*(x - x^2 + x^4 - 1)^(1/2))/(x + x^4 - 1)^2, x)","F"
599,1,61,47,0.785486,"\text{Not used}","int(-(x + 3*x^5)/((x^5 - x)^(1/2)*(x^4 - 1)*(a + x - a*x^4)),x)","\frac{2\,\sqrt{x^5-x}}{x^4-1}+\sqrt{a}\,\ln\left(\frac{a-x+2\,\sqrt{a}\,\sqrt{x^5-x}-a\,x^4}{-a\,x^4+x+a}\right)","Not used",1,"(2*(x^5 - x)^(1/2))/(x^4 - 1) + a^(1/2)*log((a - x + 2*a^(1/2)*(x^5 - x)^(1/2) - a*x^4)/(a + x - a*x^4))","B"
600,0,-1,47,0.000000,"\text{Not used}","int(((2*x^6 - 1)*(x^2 + x^6 + 1)^(1/2))/((x^6 + 1)*(2*x^6 - x^2 + 2)),x)","\int \frac{\left(2\,x^6-1\right)\,\sqrt{x^6+x^2+1}}{\left(x^6+1\right)\,\left(2\,x^6-x^2+2\right)} \,d x","Not used",1,"int(((2*x^6 - 1)*(x^2 + x^6 + 1)^(1/2))/((x^6 + 1)*(2*x^6 - x^2 + 2)), x)","F"
601,0,-1,47,0.000000,"\text{Not used}","int(-(x + 4*x^6)/((x^6 - x)^(1/2)*(x^5 - 1)*(a + x - a*x^5)),x)","-\int \frac{4\,x^6+x}{\sqrt{x^6-x}\,\left(x^5-1\right)\,\left(-a\,x^5+x+a\right)} \,d x","Not used",1,"-int((x + 4*x^6)/((x^6 - x)^(1/2)*(x^5 - 1)*(a + x - a*x^5)), x)","F"
602,1,72,47,1.341145,"\text{Not used}","int(((x + 2*x^5)^(1/2)*(6*x^4 - 1))/((2*x^4 + 1)*(4*x^4 - x^2 + 4*x^8 + 1)),x)","\frac{\ln\left(\frac{x}{2}-\sqrt{2\,x^5+x}+x^4+\frac{1}{2}\right)}{2}-\frac{\ln\left(2\,x^4-x+1\right)}{2}+\frac{\ln\left(x^4-\frac{x}{2}+\frac{1}{2}-\sqrt{2\,x^5+x}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}-\frac{\ln\left(2\,x^4+x+1\right)\,1{}\mathrm{i}}{2}","Not used",1,"log(x/2 - (x + 2*x^5)^(1/2) + x^4 + 1/2)/2 + (log(x^4 - (x + 2*x^5)^(1/2)*1i - x/2 + 1/2)*1i)/2 - (log(x + 2*x^4 + 1)*1i)/2 - log(2*x^4 - x + 1)/2","B"
603,1,16,47,0.516996,"\text{Not used}","int(((x + 1)^(1/2) + 1)^(1/2),x)","\left(x+1\right)\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{2},2;\ 3;\ -\sqrt{x+1}\right)","Not used",1,"(x + 1)*hypergeom([-1/2, 2], 3, -(x + 1)^(1/2))","B"
604,0,-1,47,0.000000,"\text{Not used}","int(((x^2 + 1)^(1/2) + 1)^(1/2)/x,x)","\int \frac{\sqrt{\sqrt{x^2+1}+1}}{x} \,d x","Not used",1,"int(((x^2 + 1)^(1/2) + 1)^(1/2)/x, x)","F"
605,0,-1,47,0.000000,"\text{Not used}","int(1/((x^2 - 6*x + 9)^(1/4) + 1),x)","\int \frac{1}{{\left(x^2-6\,x+9\right)}^{1/4}+1} \,d x","Not used",1,"int(1/((x^2 - 6*x + 9)^(1/4) + 1), x)","F"
606,0,-1,48,0.000000,"\text{Not used}","int(x^2/((x^2 - 1)^(3/4)*(x^2 - 2)),x)","\int \frac{x^2}{{\left(x^2-1\right)}^{3/4}\,\left(x^2-2\right)} \,d x","Not used",1,"int(x^2/((x^2 - 1)^(3/4)*(x^2 - 2)), x)","F"
607,0,-1,48,0.000000,"\text{Not used}","int(((x^2 - 1)*(x^4 + 1)^(1/2))/(x^2 + 1)^3,x)","\int \frac{\left(x^2-1\right)\,\sqrt{x^4+1}}{{\left(x^2+1\right)}^3} \,d x","Not used",1,"int(((x^2 - 1)*(x^4 + 1)^(1/2))/(x^2 + 1)^3, x)","F"
608,0,-1,48,0.000000,"\text{Not used}","int(-(5*x^2 - 46*x + 77)/((23*x^2 - 82*x + 23)*(83*x - 21*x^2 - 3*x^3 + x^4 - 60)^(1/2)),x)","\int -\frac{5\,x^2-46\,x+77}{\left(23\,x^2-82\,x+23\right)\,\sqrt{x^4-3\,x^3-21\,x^2+83\,x-60}} \,d x","Not used",1,"int(-(5*x^2 - 46*x + 77)/((23*x^2 - 82*x + 23)*(83*x - 21*x^2 - 3*x^3 + x^4 - 60)^(1/2)), x)","F"
609,0,-1,48,0.000000,"\text{Not used}","int(((x^3 + x^4)^(1/4)*(x - 1))/(x*(x + 1)),x)","\int \frac{{\left(x^4+x^3\right)}^{1/4}\,\left(x-1\right)}{x\,\left(x+1\right)} \,d x","Not used",1,"int(((x^3 + x^4)^(1/4)*(x - 1))/(x*(x + 1)), x)","F"
610,1,99,48,1.102257,"\text{Not used}","int(((x^3 + x^4)^(1/4)*(x^4 - 1))/x^8,x)","\frac{90992\,{\left(x^4+x^3\right)}^{1/4}}{348075\,x}-\frac{22748\,{\left(x^4+x^3\right)}^{1/4}}{348075\,x^2}-\frac{31964\,{\left(x^4+x^3\right)}^{1/4}}{69615\,x^3}+\frac{256\,{\left(x^4+x^3\right)}^{1/4}}{23205\,x^4}-\frac{16\,{\left(x^4+x^3\right)}^{1/4}}{1785\,x^5}+\frac{4\,{\left(x^4+x^3\right)}^{1/4}}{525\,x^6}+\frac{4\,{\left(x^4+x^3\right)}^{1/4}}{25\,x^7}","Not used",1,"(90992*(x^3 + x^4)^(1/4))/(348075*x) - (22748*(x^3 + x^4)^(1/4))/(348075*x^2) - (31964*(x^3 + x^4)^(1/4))/(69615*x^3) + (256*(x^3 + x^4)^(1/4))/(23205*x^4) - (16*(x^3 + x^4)^(1/4))/(1785*x^5) + (4*(x^3 + x^4)^(1/4))/(525*x^6) + (4*(x^3 + x^4)^(1/4))/(25*x^7)","B"
611,0,-1,48,0.000000,"\text{Not used}","int(-(4*x - 4*x^2 + 4*x^4 - 1)/((2*x^2 + 1)*(-(2*x^2 - 1)/(2*x^2 + 1))^(1/2)*(4*x - 12*x^2 + 8*x^3 - 4*x^4 + 1)),x)","-\int \frac{4\,x^4-4\,x^2+4\,x-1}{\left(2\,x^2+1\right)\,\sqrt{-\frac{2\,x^2-1}{2\,x^2+1}}\,\left(-4\,x^4+8\,x^3-12\,x^2+4\,x+1\right)} \,d x","Not used",1,"-int((4*x - 4*x^2 + 4*x^4 - 1)/((2*x^2 + 1)*(-(2*x^2 - 1)/(2*x^2 + 1))^(1/2)*(4*x - 12*x^2 + 8*x^3 - 4*x^4 + 1)), x)","F"
612,1,53,48,0.658398,"\text{Not used}","int(((x^4 - 3)*(x^4 - x^3 + 1)*(x^4 - 2*x^3 + 1))/(x^6*(x^4 + 1)*(x + x^5)^(1/4)),x)","\frac{4\,{\left(x^5+x\right)}^{3/4}}{7\,x^2}-\frac{8\,{\left(x^5+x\right)}^{3/4}}{x^4+1}-\frac{4\,{\left(x^5+x\right)}^{3/4}}{x^3}+\frac{4\,{\left(x^5+x\right)}^{3/4}}{7\,x^6}","Not used",1,"(4*(x + x^5)^(3/4))/(7*x^2) - (8*(x + x^5)^(3/4))/(x^4 + 1) - (4*(x + x^5)^(3/4))/x^3 + (4*(x + x^5)^(3/4))/(7*x^6)","B"
613,0,-1,48,0.000000,"\text{Not used}","int(x^20/(x^6 - 1)^(1/2),x)","\int \frac{x^{20}}{\sqrt{x^6-1}} \,d x","Not used",1,"int(x^20/(x^6 - 1)^(1/2), x)","F"
614,0,-1,48,0.000000,"\text{Not used}","int(x^14*(x^6 - 1)^(1/2),x)","\int x^{14}\,\sqrt{x^6-1} \,d x","Not used",1,"int(x^14*(x^6 - 1)^(1/2), x)","F"
615,0,-1,48,0.000000,"\text{Not used}","int(x^20/(x^6 + 1)^(1/2),x)","\int \frac{x^{20}}{\sqrt{x^6+1}} \,d x","Not used",1,"int(x^20/(x^6 + 1)^(1/2), x)","F"
616,0,-1,48,0.000000,"\text{Not used}","int((x - 4*x^6)/((x + x^6)^(1/2)*(2*x^5 - a*x^2 + x^10 + 1)),x)","\int \frac{x-4\,x^6}{\sqrt{x^6+x}\,\left(x^{10}+2\,x^5-a\,x^2+1\right)} \,d x","Not used",1,"int((x - 4*x^6)/((x + x^6)^(1/2)*(2*x^5 - a*x^2 + x^10 + 1)), x)","F"
617,0,-1,48,0.000000,"\text{Not used}","int(-(x - 4*x^6)/((x + x^6)^(1/2)*(a + 2*a*x^5 + a*x^10 - x^2)),x)","-\int \frac{x-4\,x^6}{\sqrt{x^6+x}\,\left(a\,x^{10}+2\,a\,x^5-x^2+a\right)} \,d x","Not used",1,"-int((x - 4*x^6)/((x + x^6)^(1/2)*(a + 2*a*x^5 + a*x^10 - x^2)), x)","F"
618,0,-1,48,0.000000,"\text{Not used}","int(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)/(x^2 + 1)^(1/2),x)","\int \frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}}{\sqrt{x^2+1}} \,d x","Not used",1,"int(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)/(x^2 + 1)^(1/2), x)","F"
619,0,-1,49,0.000000,"\text{Not used}","int(-(3*b - 2*a*x)/((a*x^2 - b*x)^(1/4)*(b - a*x + x^3)),x)","\int -\frac{3\,b-2\,a\,x}{{\left(a\,x^2-b\,x\right)}^{1/4}\,\left(x^3-a\,x+b\right)} \,d x","Not used",1,"int(-(3*b - 2*a*x)/((a*x^2 - b*x)^(1/4)*(b - a*x + x^3)), x)","F"
620,1,235,49,0.597191,"\text{Not used}","int(((x^3 - 4)*(x^3 - x^2 + 2)^(1/2))/((x^3 + 2)*(x^2 + x^3 + 2)),x)","\left(\sum _{_{\mathrm{X264}}\in \left\{-2^{1/3},2^{1/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right),-2^{1/3}\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\right\}\cup \mathrm{root}\left(z^3+z^2+2,z\right)}\frac{\sqrt{5}\,\sqrt{x\,\left(2-\mathrm{i}\right)+2-\mathrm{i}}\,\sqrt{3+x\,\left(-2+1{}\mathrm{i}\right)+1{}\mathrm{i}}\,\sqrt{3+x\,\left(-2-\mathrm{i}\right)-\mathrm{i}}\,\Pi \left(\frac{2+1{}\mathrm{i}}{_{\mathrm{X264}}+1};\mathrm{asin}\left(\frac{\sqrt{5}\,\sqrt{x\,\left(2-\mathrm{i}\right)+2-\mathrm{i}}}{5}\right)\middle|\frac{3}{5}+\frac{4}{5}{}\mathrm{i}\right)\,\left(2\,{_{\mathrm{X264}}}^5+6\,{_{\mathrm{X264}}}^3-2\,{_{\mathrm{X264}}}^2+12\right)\,\left(\frac{4}{25}+\frac{2}{25}{}\mathrm{i}\right)}{_{\mathrm{X264}}\,\left(_{\mathrm{X264}}+1\right)\,\sqrt{x^3-x^2+2}\,\left(6\,{_{\mathrm{X264}}}^4+5\,{_{\mathrm{X264}}}^3+12\,_{\mathrm{X264}}+4\right)}\right)+\frac{\sqrt{x\,\left(\frac{2}{5}-\frac{1}{5}{}\mathrm{i}\right)+\frac{2}{5}-\frac{1}{5}{}\mathrm{i}}\,\sqrt{\frac{3}{5}+x\,\left(-\frac{2}{5}+\frac{1}{5}{}\mathrm{i}\right)+\frac{1}{5}{}\mathrm{i}}\,\sqrt{\frac{3}{5}+x\,\left(-\frac{2}{5}-\frac{1}{5}{}\mathrm{i}\right)-\frac{1}{5}{}\mathrm{i}}\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{x\,\left(\frac{2}{5}-\frac{1}{5}{}\mathrm{i}\right)+\frac{2}{5}-\frac{1}{5}{}\mathrm{i}}\right)\middle|\frac{3}{5}+\frac{4}{5}{}\mathrm{i}\right)\,\left(4+2{}\mathrm{i}\right)}{\sqrt{x^3-x^2+2}}","Not used",1,"symsum((5^(1/2)*(x*(2 - 1i) + (2 - 1i))^(1/2)*((3 + 1i) - x*(2 - 1i))^(1/2)*((3 - 1i) - x*(2 + 1i))^(1/2)*ellipticPi((2 + 1i)/(_X264 + 1), asin((5^(1/2)*(x*(2 - 1i) + (2 - 1i))^(1/2))/5), 3/5 + 4i/5)*(6*_X264^3 - 2*_X264^2 + 2*_X264^5 + 12)*(4/25 + 2i/25))/(_X264*(_X264 + 1)*(x^3 - x^2 + 2)^(1/2)*(12*_X264 + 5*_X264^3 + 6*_X264^4 + 4)), _X264 in {-2^(1/3), 2^(1/3)*((3^(1/2)*1i)/2 + 1/2), -2^(1/3)*((3^(1/2)*1i)/2 - 1/2)} union root(z^3 + z^2 + 2, z)) + ((x*(2/5 - 1i/5) + (2/5 - 1i/5))^(1/2)*((3/5 + 1i/5) - x*(2/5 - 1i/5))^(1/2)*((3/5 - 1i/5) - x*(2/5 + 1i/5))^(1/2)*ellipticF(asin((x*(2/5 - 1i/5) + (2/5 - 1i/5))^(1/2)), 3/5 + 4i/5)*(4 + 2i))/(x^3 - x^2 + 2)^(1/2)","B"
621,0,-1,49,0.000000,"\text{Not used}","int(x^2*(x^4 - 1)^(1/4),x)","\int x^2\,{\left(x^4-1\right)}^{1/4} \,d x","Not used",1,"int(x^2*(x^4 - 1)^(1/4), x)","F"
622,0,-1,49,0.000000,"\text{Not used}","int(x^2*(x^4 + 1)^(1/4),x)","\int x^2\,{\left(x^4+1\right)}^{1/4} \,d x","Not used",1,"int(x^2*(x^4 + 1)^(1/4), x)","F"
623,0,-1,49,0.000000,"\text{Not used}","int(-((b - a*x^3)*(x + x^4)^(1/2))/x^3,x)","-\int \frac{\left(b-a\,x^3\right)\,\sqrt{x^4+x}}{x^3} \,d x","Not used",1,"-int(((b - a*x^3)*(x + x^4)^(1/2))/x^3, x)","F"
624,0,-1,49,0.000000,"\text{Not used}","int(1/((x^2 + x^4)^(1/4)*(x^4 - 2)),x)","\int \frac{1}{{\left(x^4+x^2\right)}^{1/4}\,\left(x^4-2\right)} \,d x","Not used",1,"int(1/((x^2 + x^4)^(1/4)*(x^4 - 2)), x)","F"
625,0,-1,49,0.000000,"\text{Not used}","int(-(4*b - a*x^3)/((a*x^3 - b)^(1/4)*(b - a*x^3 + x^4)),x)","\int -\frac{4\,b-a\,x^3}{{\left(a\,x^3-b\right)}^{1/4}\,\left(x^4-a\,x^3+b\right)} \,d x","Not used",1,"int(-(4*b - a*x^3)/((a*x^3 - b)^(1/4)*(b - a*x^3 + x^4)), x)","F"
626,1,55,49,0.772377,"\text{Not used}","int(-(x - 3*x^5)/((x^4 + 1)*(x + x^5)^(1/2)*(a - x + a*x^4)),x)","\frac{2\,\sqrt{x^5+x}}{x^4+1}+\sqrt{a}\,\ln\left(\frac{a+x-2\,\sqrt{a}\,\sqrt{x^5+x}+a\,x^4}{a\,x^4-x+a}\right)","Not used",1,"(2*(x + x^5)^(1/2))/(x^4 + 1) + a^(1/2)*log((a + x - 2*a^(1/2)*(x + x^5)^(1/2) + a*x^4)/(a - x + a*x^4))","B"
627,1,35,49,1.096167,"\text{Not used}","int(((x^3 - 1)*(x^6 - 1)^(1/2))/x^10,x)","\frac{\mathrm{atan}\left(\sqrt{x^6-1}\right)}{6}-\frac{\sqrt{x^6-1}}{6\,x^6}-\frac{{\left(x^6-1\right)}^{3/2}}{9\,x^9}","Not used",1,"atan((x^6 - 1)^(1/2))/6 - (x^6 - 1)^(1/2)/(6*x^6) - (x^6 - 1)^(3/2)/(9*x^9)","B"
628,0,-1,49,0.000000,"\text{Not used}","int((x^6 + 1)/((x^5 - x^3)^(1/4)*(x^3 - x^6 + 1)),x)","\int \frac{x^6+1}{{\left(x^5-x^3\right)}^{1/4}\,\left(-x^6+x^3+1\right)} \,d x","Not used",1,"int((x^6 + 1)/((x^5 - x^3)^(1/4)*(x^3 - x^6 + 1)), x)","F"
629,0,-1,49,0.000000,"\text{Not used}","int((x^6 + 1)/((x^5 - x^3)^(1/4)*(x^3 - x^6 + 1)),x)","\int \frac{x^6+1}{{\left(x^5-x^3\right)}^{1/4}\,\left(-x^6+x^3+1\right)} \,d x","Not used",1,"int((x^6 + 1)/((x^5 - x^3)^(1/4)*(x^3 - x^6 + 1)), x)","F"
630,0,-1,49,0.000000,"\text{Not used}","int(-(x*(6*b + 5*a*x))/((a*x^3 + b*x^2)^(1/4)*(b + a*x - x^6)),x)","\int -\frac{x\,\left(6\,b+5\,a\,x\right)}{{\left(a\,x^3+b\,x^2\right)}^{1/4}\,\left(-x^6+a\,x+b\right)} \,d x","Not used",1,"int(-(x*(6*b + 5*a*x))/((a*x^3 + b*x^2)^(1/4)*(b + a*x - x^6)), x)","F"
631,1,98,49,8.019984,"\text{Not used}","int(-((x^5 - 1)^(1/2)*(3*x^5 + 2))/(a*x^4 + 2*x^5 - x^10 - 1),x)","\frac{\ln\left(\frac{x^5+\sqrt{a}\,x^2-2\,a^{1/4}\,x\,\sqrt{x^5-1}-1}{\sqrt{a}\,x^2-x^5+1}\right)}{2\,a^{1/4}}+\frac{\ln\left(\frac{x^5-\sqrt{a}\,x^2-1+a^{1/4}\,x\,\sqrt{x^5-1}\,2{}\mathrm{i}}{x^5+\sqrt{a}\,x^2-1}\right)\,1{}\mathrm{i}}{2\,a^{1/4}}","Not used",1,"log((x^5 + a^(1/2)*x^2 - 2*a^(1/4)*x*(x^5 - 1)^(1/2) - 1)/(a^(1/2)*x^2 - x^5 + 1))/(2*a^(1/4)) + (log((x^5 - a^(1/2)*x^2 + a^(1/4)*x*(x^5 - 1)^(1/2)*2i - 1)/(x^5 + a^(1/2)*x^2 - 1))*1i)/(2*a^(1/4))","B"
632,1,311,49,14.908577,"\text{Not used}","int(((x^5 - 1)^(1/2)*(3*x^5 + 2))/(a - 2*a*x^5 + a*x^10 - x^4),x)","\frac{\ln\left(\frac{\left(x\,\sqrt{a^3}+a^2\,x^4-2\,a\,\sqrt{x^5-1}\,{\left(a^3\right)}^{1/4}\right)\,\left(2\,x^6\,\sqrt{a^3}-a\,x^3-3\,x\,\sqrt{a^3}+a^2\,x^4-a^2\,x^9+2\,a\,\sqrt{x^5-1}\,{\left(a^3\right)}^{1/4}\right)}{\left(x^2\,\sqrt{a^3}+a^2-a^2\,x^5\right)\,\left(4\,\sqrt{a^3}-2\,x^5\,\sqrt{a^3}+a\,x^2+a^2\,x^8\right)}\right)}{2\,{\left(a^3\right)}^{1/4}}+\frac{\ln\left(\frac{\left(2\,a\,\sqrt{x^5-1}\,{\left(a^3\right)}^{1/4}+x\,\sqrt{a^3}\,1{}\mathrm{i}-a^2\,x^4\,1{}\mathrm{i}\right)\,\left(-2\,a\,\sqrt{x^5-1}\,{\left(a^3\right)}^{1/4}+x^6\,\sqrt{a^3}\,2{}\mathrm{i}+a\,x^3\,1{}\mathrm{i}-x\,\sqrt{a^3}\,3{}\mathrm{i}-a^2\,x^4\,1{}\mathrm{i}+a^2\,x^9\,1{}\mathrm{i}\right)}{\left(x^2\,\sqrt{a^3}-a^2+a^2\,x^5\right)\,\left(2\,x^5\,\sqrt{a^3}-4\,\sqrt{a^3}+a\,x^2+a^2\,x^8\right)}\right)\,1{}\mathrm{i}}{2\,{\left(a^3\right)}^{1/4}}","Not used",1,"(log(((x*(a^3)^(1/2)*1i - a^2*x^4*1i + 2*a*(x^5 - 1)^(1/2)*(a^3)^(1/4))*(x^6*(a^3)^(1/2)*2i + a*x^3*1i - x*(a^3)^(1/2)*3i - a^2*x^4*1i + a^2*x^9*1i - 2*a*(x^5 - 1)^(1/2)*(a^3)^(1/4)))/((x^2*(a^3)^(1/2) - a^2 + a^2*x^5)*(2*x^5*(a^3)^(1/2) - 4*(a^3)^(1/2) + a*x^2 + a^2*x^8)))*1i)/(2*(a^3)^(1/4)) + log(((x*(a^3)^(1/2) + a^2*x^4 - 2*a*(x^5 - 1)^(1/2)*(a^3)^(1/4))*(2*x^6*(a^3)^(1/2) - a*x^3 - 3*x*(a^3)^(1/2) + a^2*x^4 - a^2*x^9 + 2*a*(x^5 - 1)^(1/2)*(a^3)^(1/4)))/((x^2*(a^3)^(1/2) + a^2 - a^2*x^5)*(4*(a^3)^(1/2) - 2*x^5*(a^3)^(1/2) + a*x^2 + a^2*x^8)))/(2*(a^3)^(1/4))","B"
633,1,309,49,14.589207,"\text{Not used}","int(((x^5 + 1)^(1/2)*(3*x^5 - 2))/(a + 2*a*x^5 + a*x^10 - x^4),x)","\frac{\ln\left(\frac{\left(x\,\sqrt{a^3}+a^2\,x^4-2\,a\,\sqrt{x^5+1}\,{\left(a^3\right)}^{1/4}\right)\,\left(a\,x^3-2\,x^6\,\sqrt{a^3}-3\,x\,\sqrt{a^3}+a^2\,x^4+a^2\,x^9+2\,a\,\sqrt{x^5+1}\,{\left(a^3\right)}^{1/4}\right)}{\left(a^2-x^2\,\sqrt{a^3}+a^2\,x^5\right)\,\left(4\,\sqrt{a^3}+2\,x^5\,\sqrt{a^3}-a\,x^2-a^2\,x^8\right)}\right)}{2\,{\left(a^3\right)}^{1/4}}+\frac{\ln\left(\frac{\left(2\,a\,\sqrt{x^5+1}\,{\left(a^3\right)}^{1/4}+x\,\sqrt{a^3}\,1{}\mathrm{i}-a^2\,x^4\,1{}\mathrm{i}\right)\,\left(2\,a\,\sqrt{x^5+1}\,{\left(a^3\right)}^{1/4}+x^6\,\sqrt{a^3}\,2{}\mathrm{i}+a\,x^3\,1{}\mathrm{i}+x\,\sqrt{a^3}\,3{}\mathrm{i}+a^2\,x^4\,1{}\mathrm{i}+a^2\,x^9\,1{}\mathrm{i}\right)}{\left(x^2\,\sqrt{a^3}+a^2+a^2\,x^5\right)\,\left(4\,\sqrt{a^3}+2\,x^5\,\sqrt{a^3}+a\,x^2+a^2\,x^8\right)}\right)\,1{}\mathrm{i}}{2\,{\left(a^3\right)}^{1/4}}","Not used",1,"log(((x*(a^3)^(1/2) + a^2*x^4 - 2*a*(x^5 + 1)^(1/2)*(a^3)^(1/4))*(a*x^3 - 2*x^6*(a^3)^(1/2) - 3*x*(a^3)^(1/2) + a^2*x^4 + a^2*x^9 + 2*a*(x^5 + 1)^(1/2)*(a^3)^(1/4)))/((a^2 - x^2*(a^3)^(1/2) + a^2*x^5)*(4*(a^3)^(1/2) + 2*x^5*(a^3)^(1/2) - a*x^2 - a^2*x^8)))/(2*(a^3)^(1/4)) + (log(((x*(a^3)^(1/2)*1i - a^2*x^4*1i + 2*a*(x^5 + 1)^(1/2)*(a^3)^(1/4))*(x^6*(a^3)^(1/2)*2i + a*x^3*1i + x*(a^3)^(1/2)*3i + a^2*x^4*1i + a^2*x^9*1i + 2*a*(x^5 + 1)^(1/2)*(a^3)^(1/4)))/((x^2*(a^3)^(1/2) + a^2 + a^2*x^5)*(4*(a^3)^(1/2) + 2*x^5*(a^3)^(1/2) + a*x^2 + a^2*x^8)))*1i)/(2*(a^3)^(1/4))","B"
634,0,-1,49,0.000000,"\text{Not used}","int(1/((x^2 + 1)^(1/2) + 1)^(1/2),x)","\int \frac{1}{\sqrt{\sqrt{x^2+1}+1}} \,d x","Not used",1,"int(1/((x^2 + 1)^(1/2) + 1)^(1/2), x)","F"
635,0,-1,50,0.000000,"\text{Not used}","int(x^6*(x^4 - x)^(1/2),x)","\int x^6\,\sqrt{x^4-x} \,d x","Not used",1,"int(x^6*(x^4 - x)^(1/2), x)","F"
636,1,113,50,1.233018,"\text{Not used}","int(((x^2 - 1)*(x^4 - x^3)^(1/4))/x^8,x)","\frac{20992\,{\left(x^4-x^3\right)}^{1/4}}{348075\,x}+\frac{5248\,{\left(x^4-x^3\right)}^{1/4}}{348075\,x^2}+\frac{656\,{\left(x^4-x^3\right)}^{1/4}}{69615\,x^3}+\frac{164\,{\left(x^4-x^3\right)}^{1/4}}{23205\,x^4}-\frac{436\,{\left(x^4-x^3\right)}^{1/4}}{1785\,x^5}-\frac{4\,{\left(x^4-x^3\right)}^{1/4}}{525\,x^6}+\frac{4\,{\left(x^4-x^3\right)}^{1/4}}{25\,x^7}","Not used",1,"(20992*(x^4 - x^3)^(1/4))/(348075*x) + (5248*(x^4 - x^3)^(1/4))/(348075*x^2) + (656*(x^4 - x^3)^(1/4))/(69615*x^3) + (164*(x^4 - x^3)^(1/4))/(23205*x^4) - (436*(x^4 - x^3)^(1/4))/(1785*x^5) - (4*(x^4 - x^3)^(1/4))/(525*x^6) + (4*(x^4 - x^3)^(1/4))/(25*x^7)","B"
637,0,-1,50,0.000000,"\text{Not used}","int(((x^3 - 1)*(x^6 - 1)^(1/2))/(x*(x^3 + 1)),x)","\int \frac{\left(x^3-1\right)\,\sqrt{x^6-1}}{x\,\left(x^3+1\right)} \,d x","Not used",1,"int(((x^3 - 1)*(x^6 - 1)^(1/2))/(x*(x^3 + 1)), x)","F"
638,0,-1,50,0.000000,"\text{Not used}","int(((x^3 + 1)*(x^6 - 1)^(1/2))/(x*(x^3 - 1)),x)","\int \frac{\left(x^3+1\right)\,\sqrt{x^6-1}}{x\,\left(x^3-1\right)} \,d x","Not used",1,"int(((x^3 + 1)*(x^6 - 1)^(1/2))/(x*(x^3 - 1)), x)","F"
639,0,-1,50,0.000000,"\text{Not used}","int(-(2*b + a*x^4)/((b + a*x^4)^(1/4)*(2*b + 2*a*x^4 - x^8)),x)","\int -\frac{a\,x^4+2\,b}{{\left(a\,x^4+b\right)}^{1/4}\,\left(-x^8+2\,a\,x^4+2\,b\right)} \,d x","Not used",1,"int(-(2*b + a*x^4)/((b + a*x^4)^(1/4)*(2*b + 2*a*x^4 - x^8)), x)","F"
640,0,-1,50,0.000000,"\text{Not used}","int(-(2*b + a*x^4)/((b + a*x^4)^(1/4)*(2*b + 2*a*x^4 - x^8)),x)","\int -\frac{a\,x^4+2\,b}{{\left(a\,x^4+b\right)}^{1/4}\,\left(-x^8+2\,a\,x^4+2\,b\right)} \,d x","Not used",1,"int(-(2*b + a*x^4)/((b + a*x^4)^(1/4)*(2*b + 2*a*x^4 - x^8)), x)","F"
641,0,-1,50,0.000000,"\text{Not used}","int(((x^6 - 1)*(x^6 + 1))/((3*x^6 + x^12 + 1)*(x - x^4 + x^7)^(1/4)),x)","\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)}^{1/4}} \,d x","Not used",1,"int(((x^6 - 1)*(x^6 + 1))/((3*x^6 + x^12 + 1)*(x - x^4 + x^7)^(1/4)), x)","F"
642,0,-1,50,0.000000,"\text{Not used}","int(((x^2 + 1)^(1/2) + 1)^(1/2),x)","\int \sqrt{\sqrt{x^2+1}+1} \,d x","Not used",1,"int(((x^2 + 1)^(1/2) + 1)^(1/2), x)","F"
643,0,-1,50,0.000000,"\text{Not used}","int(((x^2 + 1)^(1/2) + 1)^(1/2)/x^2,x)","\int \frac{\sqrt{\sqrt{x^2+1}+1}}{x^2} \,d x","Not used",1,"int(((x^2 + 1)^(1/2) + 1)^(1/2)/x^2, x)","F"
644,1,34,51,0.700912,"\text{Not used}","int(1/(x*(b + a*x^2)^(3/4)),x)","-\frac{\mathrm{atan}\left(\frac{{\left(a\,x^2+b\right)}^{1/4}}{b^{1/4}}\right)+\mathrm{atanh}\left(\frac{{\left(a\,x^2+b\right)}^{1/4}}{b^{1/4}}\right)}{b^{3/4}}","Not used",1,"-(atan((b + a*x^2)^(1/4)/b^(1/4)) + atanh((b + a*x^2)^(1/4)/b^(1/4)))/b^(3/4)","B"
645,0,-1,51,0.000000,"\text{Not used}","int((x - 7)/((5*x - 11)*(83*x - 21*x^2 - 3*x^3 + x^4 - 60)^(1/2)),x)","\int \frac{x-7}{\left(5\,x-11\right)\,\sqrt{x^4-3\,x^3-21\,x^2+83\,x-60}} \,d x","Not used",1,"int((x - 7)/((5*x - 11)*(83*x - 21*x^2 - 3*x^3 + x^4 - 60)^(1/2)), x)","F"
646,1,38,51,0.855864,"\text{Not used}","int(((x^6 - 1)^(1/2)*(x^6 - 2))/(x*(x^6 + 2)),x)","\frac{\mathrm{atan}\left(\sqrt{x^6-1}\right)}{3}-\frac{2\,\sqrt{3}\,\mathrm{atan}\left(\frac{\sqrt{3}\,\sqrt{x^6-1}}{3}\right)}{3}+\frac{\sqrt{x^6-1}}{3}","Not used",1,"atan((x^6 - 1)^(1/2))/3 - (2*3^(1/2)*atan((3^(1/2)*(x^6 - 1)^(1/2))/3))/3 + (x^6 - 1)^(1/2)/3","B"
647,0,-1,51,0.000000,"\text{Not used}","int(((2*x^6 + 1)*(x^6 - x^2 - 1)^(1/2))/((x^6 - 1)*(x^2 + 2*x^6 - 2)),x)","\int \frac{\left(2\,x^6+1\right)\,\sqrt{x^6-x^2-1}}{\left(x^6-1\right)\,\left(2\,x^6+x^2-2\right)} \,d x","Not used",1,"int(((2*x^6 + 1)*(x^6 - x^2 - 1)^(1/2))/((x^6 - 1)*(x^2 + 2*x^6 - 2)), x)","F"
648,0,-1,51,0.000000,"\text{Not used}","int(-(x*(8*b - 5*a*x^3))/((a*x^3 - b)^(1/4)*(b - a*x^3 + x^8)),x)","\int -\frac{x\,\left(8\,b-5\,a\,x^3\right)}{{\left(a\,x^3-b\right)}^{1/4}\,\left(x^8-a\,x^3+b\right)} \,d x","Not used",1,"int(-(x*(8*b - 5*a*x^3))/((a*x^3 - b)^(1/4)*(b - a*x^3 + x^8)), x)","F"
649,0,-1,51,0.000000,"\text{Not used}","int((16*x - x^2 - 9*x^3 + 2)/((x^2 - 2)*((x + 1)/(x^2 - 2))^(1/4)*(2*x + 7*x^2 - 7*x^3 - 9*x^4 + 9*x^5 + 5*x^6 - 5*x^7 - x^8 + x^9 - 3)),x)","\int \frac{-9\,x^3-x^2+16\,x+2}{\left(x^2-2\right)\,{\left(\frac{x+1}{x^2-2}\right)}^{1/4}\,\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)} \,d x","Not used",1,"int((16*x - x^2 - 9*x^3 + 2)/((x^2 - 2)*((x + 1)/(x^2 - 2))^(1/4)*(2*x + 7*x^2 - 7*x^3 - 9*x^4 + 9*x^5 + 5*x^6 - 5*x^7 - x^8 + x^9 - 3)), x)","F"
650,0,-1,51,0.000000,"\text{Not used}","int((7*x^8 - 1)/((x^8 + 1)*(x^2 - x + 6*x^8 - x^9 + 3*x^16 + 3)^(1/2)),x)","\int \frac{7\,x^8-1}{\left(x^8+1\right)\,\sqrt{3\,x^{16}-x^9+6\,x^8+x^2-x+3}} \,d x","Not used",1,"int((7*x^8 - 1)/((x^8 + 1)*(x^2 - x + 6*x^8 - x^9 + 3*x^16 + 3)^(1/2)), x)","F"
651,0,-1,51,0.000000,"\text{Not used}","int(((x^2 + 1)^(1/2) + 1)^(1/2)/(x^2*(x^2 + 1)^(1/2)),x)","\int \frac{\sqrt{\sqrt{x^2+1}+1}}{x^2\,\sqrt{x^2+1}} \,d x","Not used",1,"int(((x^2 + 1)^(1/2) + 1)^(1/2)/(x^2*(x^2 + 1)^(1/2)), x)","F"
652,0,-1,51,0.000000,"\text{Not used}","int(x/(x + ((x + 1)^(1/2) + 1)^(1/2)),x)","\int \frac{x}{x+\sqrt{\sqrt{x+1}+1}} \,d x","Not used",1,"int(x/(x + ((x + 1)^(1/2) + 1)^(1/2)), x)","F"
653,1,39,52,0.987719,"\text{Not used}","int((a + 2*x)/((b + a*x + x^2)^(1/4)*(2*b + 2*a*x + 2*x^2 - 1)),x)","2^{1/4}\,\left(\mathrm{atan}\left({\left(2\,x^2+2\,a\,x+2\,b\right)}^{1/4}\right)-\mathrm{atanh}\left({\left(2\,x^2+2\,a\,x+2\,b\right)}^{1/4}\right)\right)","Not used",1,"2^(1/4)*(atan((2*b + 2*a*x + 2*x^2)^(1/4)) - atanh((2*b + 2*a*x + 2*x^2)^(1/4)))","B"
654,1,45,52,0.793397,"\text{Not used}","int(1/(x^7*(x^3 + 1)^(1/4)),x)","\frac{5\,\mathrm{atan}\left({\left(x^3+1\right)}^{1/4}\right)}{48}-\frac{5\,\mathrm{atanh}\left({\left(x^3+1\right)}^{1/4}\right)}{48}-\frac{3\,{\left(x^3+1\right)}^{3/4}}{8\,x^6}+\frac{5\,{\left(x^3+1\right)}^{7/4}}{24\,x^6}","Not used",1,"(5*atan((x^3 + 1)^(1/4)))/48 - (5*atanh((x^3 + 1)^(1/4)))/48 - (3*(x^3 + 1)^(3/4))/(8*x^6) + (5*(x^3 + 1)^(7/4))/(24*x^6)","B"
655,1,45,52,0.688729,"\text{Not used}","int((x^3 + 1)^(1/4)/x^7,x)","\frac{\mathrm{atan}\left({\left(x^3+1\right)}^{1/4}\right)}{16}+\frac{\mathrm{atanh}\left({\left(x^3+1\right)}^{1/4}\right)}{16}-\frac{{\left(x^3+1\right)}^{1/4}}{8\,x^6}-\frac{{\left(x^3+1\right)}^{5/4}}{24\,x^6}","Not used",1,"atan((x^3 + 1)^(1/4))/16 + atanh((x^3 + 1)^(1/4))/16 - (x^3 + 1)^(1/4)/(8*x^6) - (x^3 + 1)^(5/4)/(24*x^6)","B"
656,1,68,52,0.699758,"\text{Not used}","int(((b + a*x^3)^(1/2)*(2*b + a*x^3))/x,x)","\frac{2\,b^{3/2}\,\ln\left(\frac{{\left(\sqrt{a\,x^3+b}-\sqrt{b}\right)}^3\,\left(\sqrt{a\,x^3+b}+\sqrt{b}\right)}{x^6}\right)}{3}+\frac{14\,b\,\sqrt{a\,x^3+b}}{9}+\frac{2\,a\,x^3\,\sqrt{a\,x^3+b}}{9}","Not used",1,"(2*b^(3/2)*log((((b + a*x^3)^(1/2) - b^(1/2))^3*((b + a*x^3)^(1/2) + b^(1/2)))/x^6))/3 + (14*b*(b + a*x^3)^(1/2))/9 + (2*a*x^3*(b + a*x^3)^(1/2))/9","B"
657,0,-1,52,0.000000,"\text{Not used}","int(((x^3 + 1)*(x^6 - 1)^(1/2))/(x^13*(x^3 - 1)),x)","\int \frac{\left(x^3+1\right)\,\sqrt{x^6-1}}{x^{13}\,\left(x^3-1\right)} \,d x","Not used",1,"int(((x^3 + 1)*(x^6 - 1)^(1/2))/(x^13*(x^3 - 1)), x)","F"
658,1,47,52,0.993080,"\text{Not used}","int(-((b - a*x^6)*(x + x^4)^(1/2))/x^6,x)","\frac{2\,b\,\left(x^3+1\right)\,\sqrt{x^4+x}}{9\,x^5}+\frac{2\,a\,x\,\sqrt{x^4+x}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{2},\frac{1}{2};\ \frac{3}{2};\ -x^3\right)}{3\,\sqrt{x^3+1}}","Not used",1,"(2*b*(x^3 + 1)*(x + x^4)^(1/2))/(9*x^5) + (2*a*x*(x + x^4)^(1/2)*hypergeom([-1/2, 1/2], 3/2, -x^3))/(3*(x^3 + 1)^(1/2))","B"
659,0,-1,52,0.000000,"\text{Not used}","int(-(7*b*x - 5*a*x^3)/((a*x^3 - b*x)^(1/4)*(b - a*x^2 + x^7)),x)","-\int \frac{7\,b\,x-5\,a\,x^3}{{\left(a\,x^3-b\,x\right)}^{1/4}\,\left(x^7-a\,x^2+b\right)} \,d x","Not used",1,"-int((7*b*x - 5*a*x^3)/((a*x^3 - b*x)^(1/4)*(b - a*x^2 + x^7)), x)","F"
660,1,134,52,4.013991,"\text{Not used}","int(-(x + 3*x^5)/((x^5 - x)^(1/2)*(a*x^2 + 2*x^4 - x^8 - 1)),x)","\frac{\ln\left(\frac{a^2+2\,\sqrt{x^5-x}\,{\left(a^3\right)}^{3/4}-a^2\,x^4-a\,x\,\sqrt{a^3}}{a-a\,x^4+x\,\sqrt{a^3}}\right)}{2\,{\left(a^3\right)}^{1/4}}+\frac{\ln\left(\frac{a^2\,1{}\mathrm{i}-2\,\sqrt{x^5-x}\,{\left(a^3\right)}^{3/4}-a^2\,x^4\,1{}\mathrm{i}+a\,x\,\sqrt{a^3}\,1{}\mathrm{i}}{a\,x^4-a+x\,\sqrt{a^3}}\right)\,1{}\mathrm{i}}{2\,{\left(a^3\right)}^{1/4}}","Not used",1,"(log((a^2*1i - 2*(x^5 - x)^(1/2)*(a^3)^(3/4) - a^2*x^4*1i + a*x*(a^3)^(1/2)*1i)/(a*x^4 - a + x*(a^3)^(1/2)))*1i)/(2*(a^3)^(1/4)) + log((a^2 + 2*(x^5 - x)^(1/2)*(a^3)^(3/4) - a^2*x^4 - a*x*(a^3)^(1/2))/(a - a*x^4 + x*(a^3)^(1/2)))/(2*(a^3)^(1/4))","B"
661,1,103,52,3.557306,"\text{Not used}","int((x + 3*x^5)/((x^5 - x)^(1/2)*(a - 2*a*x^4 + a*x^8 - x^2)),x)","\frac{\ln\left(\frac{x-2\,a^{1/4}\,\sqrt{x^5-x}-\sqrt{a}+\sqrt{a}\,x^4}{x+\sqrt{a}-\sqrt{a}\,x^4}\right)}{2\,a^{1/4}}+\frac{\ln\left(\frac{x+\sqrt{a}-\sqrt{a}\,x^4+a^{1/4}\,\sqrt{x^5-x}\,2{}\mathrm{i}}{x-\sqrt{a}+\sqrt{a}\,x^4}\right)\,1{}\mathrm{i}}{2\,a^{1/4}}","Not used",1,"log((x - 2*a^(1/4)*(x^5 - x)^(1/2) - a^(1/2) + a^(1/2)*x^4)/(x + a^(1/2) - a^(1/2)*x^4))/(2*a^(1/4)) + (log((x + a^(1/4)*(x^5 - x)^(1/2)*2i + a^(1/2) - a^(1/2)*x^4)/(x - a^(1/2) + a^(1/2)*x^4))*1i)/(2*a^(1/4))","B"
662,0,-1,52,0.000000,"\text{Not used}","int(-(x + 4*x^6)/((x^6 - x)^(1/2)*(a*x^2 + 2*x^5 - x^10 - 1)),x)","\int -\frac{4\,x^6+x}{\sqrt{x^6-x}\,\left(-x^{10}+2\,x^5+a\,x^2-1\right)} \,d x","Not used",1,"int(-(x + 4*x^6)/((x^6 - x)^(1/2)*(a*x^2 + 2*x^5 - x^10 - 1)), x)","F"
663,0,-1,52,0.000000,"\text{Not used}","int((x + 4*x^6)/((x^6 - x)^(1/2)*(a - 2*a*x^5 + a*x^10 - x^2)),x)","\int \frac{4\,x^6+x}{\sqrt{x^6-x}\,\left(a\,x^{10}-2\,a\,x^5-x^2+a\right)} \,d x","Not used",1,"int((x + 4*x^6)/((x^6 - x)^(1/2)*(a - 2*a*x^5 + a*x^10 - x^2)), x)","F"
664,0,-1,53,0.000000,"\text{Not used}","int(1/((2*x - 5)^2*(x^2 - 4*x + 4)^(1/4)),x)","\int \frac{1}{{\left(2\,x-5\right)}^2\,{\left(x^2-4\,x+4\right)}^{1/4}} \,d x","Not used",1,"int(1/((2*x - 5)^2*(x^2 - 4*x + 4)^(1/4)), x)","F"
665,1,76,53,1.134956,"\text{Not used}","int(((x^3 + 1)^(1/2)*(x^3 - 2)*(2*x^3 - x^2 + 2))/(x^4*(x^3 - 3*x^2 + 1)),x)","5\,\sqrt{3}\,\ln\left(\frac{3\,x^2+x^3-2\,\sqrt{3}\,x\,\sqrt{x^3+1}+1}{x^3-3\,x^2+1}\right)+\frac{4\,\sqrt{x^3+1}}{3}+\frac{10\,\sqrt{x^3+1}}{x}+\frac{4\,\sqrt{x^3+1}}{3\,x^3}","Not used",1,"5*3^(1/2)*log((3*x^2 + x^3 - 2*3^(1/2)*x*(x^3 + 1)^(1/2) + 1)/(x^3 - 3*x^2 + 1)) + (4*(x^3 + 1)^(1/2))/3 + (10*(x^3 + 1)^(1/2))/x + (4*(x^3 + 1)^(1/2))/(3*x^3)","B"
666,1,68,53,0.706926,"\text{Not used}","int(-((b + a*x^3)^(1/2)*(b - a*x^3))/x,x)","\frac{b^{3/2}\,\ln\left(\frac{\left(\sqrt{a\,x^3+b}-\sqrt{b}\right)\,{\left(\sqrt{a\,x^3+b}+\sqrt{b}\right)}^3}{x^6}\right)}{3}-\frac{4\,b\,\sqrt{a\,x^3+b}}{9}+\frac{2\,a\,x^3\,\sqrt{a\,x^3+b}}{9}","Not used",1,"(b^(3/2)*log((((b + a*x^3)^(1/2) - b^(1/2))*((b + a*x^3)^(1/2) + b^(1/2))^3)/x^6))/3 - (4*b*(b + a*x^3)^(1/2))/9 + (2*a*x^3*(b + a*x^3)^(1/2))/9","B"
667,0,-1,53,0.000000,"\text{Not used}","int(x^2/((x^4 - 1)*(x^4 + 1)^(1/2)),x)","\int \frac{x^2}{\left(x^4-1\right)\,\sqrt{x^4+1}} \,d x","Not used",1,"int(x^2/((x^4 - 1)*(x^4 + 1)^(1/2)), x)","F"
668,0,-1,53,0.000000,"\text{Not used}","int((x^4 + 1)^(1/2)/(x^4 - 1),x)","\int \frac{\sqrt{x^4+1}}{x^4-1} \,d x","Not used",1,"int((x^4 + 1)^(1/2)/(x^4 - 1), x)","F"
669,0,-1,53,0.000000,"\text{Not used}","int((b + a*x^3)*(x + x^4)^(1/2),x)","\int \left(a\,x^3+b\right)\,\sqrt{x^4+x} \,d x","Not used",1,"int((b + a*x^3)*(x + x^4)^(1/2), x)","F"
670,1,29,53,0.571510,"\text{Not used}","int((x^2 + x^4)^(1/4),x)","\frac{2\,x\,{\left(x^4+x^2\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{4},\frac{3}{4};\ \frac{7}{4};\ -x^2\right)}{3\,{\left(x^2+1\right)}^{1/4}}","Not used",1,"(2*x*(x^2 + x^4)^(1/4)*hypergeom([-1/4, 3/4], 7/4, -x^2))/(3*(x^2 + 1)^(1/4))","B"
671,0,-1,53,0.000000,"\text{Not used}","int(((x^4 - 1)*(x^4 + 1)^(1/2))/(3*x^2 + x^4 + 1)^2,x)","\int \frac{\left(x^4-1\right)\,\sqrt{x^4+1}}{{\left(x^4+3\,x^2+1\right)}^2} \,d x","Not used",1,"int(((x^4 - 1)*(x^4 + 1)^(1/2))/(3*x^2 + x^4 + 1)^2, x)","F"
672,1,113,53,0.576995,"\text{Not used}","int(1/(x^8*(x^3 + x^4)^(1/4)),x)","\frac{1048576\,{\left(x^4+x^3\right)}^{3/4}}{4023459\,x^3}-\frac{262144\,{\left(x^4+x^3\right)}^{3/4}}{1341153\,x^4}+\frac{229376\,{\left(x^4+x^3\right)}^{3/4}}{1341153\,x^5}-\frac{57344\,{\left(x^4+x^3\right)}^{3/4}}{365769\,x^6}+\frac{17920\,{\left(x^4+x^3\right)}^{3/4}}{121923\,x^7}-\frac{896\,{\left(x^4+x^3\right)}^{3/4}}{6417\,x^8}+\frac{112\,{\left(x^4+x^3\right)}^{3/4}}{837\,x^9}-\frac{4\,{\left(x^4+x^3\right)}^{3/4}}{31\,x^{10}}","Not used",1,"(1048576*(x^3 + x^4)^(3/4))/(4023459*x^3) - (262144*(x^3 + x^4)^(3/4))/(1341153*x^4) + (229376*(x^3 + x^4)^(3/4))/(1341153*x^5) - (57344*(x^3 + x^4)^(3/4))/(365769*x^6) + (17920*(x^3 + x^4)^(3/4))/(121923*x^7) - (896*(x^3 + x^4)^(3/4))/(6417*x^8) + (112*(x^3 + x^4)^(3/4))/(837*x^9) - (4*(x^3 + x^4)^(3/4))/(31*x^10)","B"
673,0,-1,53,0.000000,"\text{Not used}","int((4*x + 1)/(3*x^2 - 2*x + 2*x^3 + x^4 + 1)^(1/2),x)","\int \frac{4\,x+1}{\sqrt{x^4+2\,x^3+3\,x^2-2\,x+1}} \,d x","Not used",1,"int((4*x + 1)/(3*x^2 - 2*x + 2*x^3 + x^4 + 1)^(1/2), x)","F"
674,0,-1,53,0.000000,"\text{Not used}","int(1/((x^4 - 1)^(1/4)*(3*x^4 + 1)),x)","\int \frac{1}{{\left(x^4-1\right)}^{1/4}\,\left(3\,x^4+1\right)} \,d x","Not used",1,"int(1/((x^4 - 1)^(1/4)*(3*x^4 + 1)), x)","F"
675,0,-1,53,0.000000,"\text{Not used}","int(-(3*b - a*x^4)/((b*x + a*x^5)^(1/4)*(b + a*x^4 - x^3)),x)","\int -\frac{3\,b-a\,x^4}{{\left(a\,x^5+b\,x\right)}^{1/4}\,\left(a\,x^4-x^3+b\right)} \,d x","Not used",1,"int(-(3*b - a*x^4)/((b*x + a*x^5)^(1/4)*(b + a*x^4 - x^3)), x)","F"
676,0,-1,53,0.000000,"\text{Not used}","int(x^20*(x^6 - 1)^(1/2),x)","\int x^{20}\,\sqrt{x^6-1} \,d x","Not used",1,"int(x^20*(x^6 - 1)^(1/2), x)","F"
677,0,-1,53,0.000000,"\text{Not used}","int(((x^3 - 1)*(x^6 - 1)^(1/2))/(x^4*(x^3 + 1)),x)","\int \frac{\left(x^3-1\right)\,\sqrt{x^6-1}}{x^4\,\left(x^3+1\right)} \,d x","Not used",1,"int(((x^3 - 1)*(x^6 - 1)^(1/2))/(x^4*(x^3 + 1)), x)","F"
678,0,-1,53,0.000000,"\text{Not used}","int(-(x^6 + 1)/((x^6 - 1)*(x^4 - x^2 + 1)^(1/2)),x)","\int -\frac{x^6+1}{\left(x^6-1\right)\,\sqrt{x^4-x^2+1}} \,d x","Not used",1,"int(-(x^6 + 1)/((x^6 - 1)*(x^4 - x^2 + 1)^(1/2)), x)","F"
679,1,41,53,1.017020,"\text{Not used}","int(((x^6 - 1)^(1/2)*(x^6 - 2))/(x^7*(x^6 + 2)),x)","\frac{\sqrt{3}\,\mathrm{atan}\left(\frac{\sqrt{3}\,\sqrt{x^6-1}}{3}\right)}{3}-\frac{\mathrm{atan}\left(\sqrt{x^6-1}\right)}{2}+\frac{\sqrt{x^6-1}}{6\,x^6}","Not used",1,"(3^(1/2)*atan((3^(1/2)*(x^6 - 1)^(1/2))/3))/3 - atan((x^6 - 1)^(1/2))/2 + (x^6 - 1)^(1/2)/(6*x^6)","B"
680,0,-1,53,0.000000,"\text{Not used}","int(-(x*(6*b - 5*a*x))/((a*x^3 - b*x^2)^(1/4)*(b - a*x + x^6)),x)","-\int \frac{x\,\left(6\,b-5\,a\,x\right)}{{\left(a\,x^3-b\,x^2\right)}^{1/4}\,\left(x^6-a\,x+b\right)} \,d x","Not used",1,"-int((x*(6*b - 5*a*x))/((a*x^3 - b*x^2)^(1/4)*(b - a*x + x^6)), x)","F"
681,1,775,53,0.044547,"\text{Not used}","int(((x^3 + 1)^(1/2)*(2*x^3 + x^6 + 2))/(x*(x^6 - 1)),x)","\frac{\frac{2\,x^3}{3}+\frac{2}{3}}{\sqrt{x^3+1}}+\frac{4\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}-\frac{5\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{3}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4};\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{3\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}-\frac{2\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(3\,{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^3+2\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}};\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(4\,{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^3-1\right)\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}+\frac{2\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(3\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^3-2\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}};\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(4\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^3+1\right)\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"((2*x^3)/3 + 2/3)/(x^3 + 1)^(1/2) + (4*((3^(1/2)*1i)/2 + 3/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi((3^(1/2)*1i)/2 + 3/2, asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2) - (5*((3^(1/2)*1i)/2 + 3/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi((3^(1/2)*1i)/4 + 3/4, asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(3*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2)) - (2*((3^(1/2)*1i)/2 + 3/2)*(3*((3^(1/2)*1i)/2 - 1/2)^3 + 2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi(((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 + 1/2), asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(((3^(1/2)*1i)/2 + 1/2)*(4*((3^(1/2)*1i)/2 - 1/2)^3 - 1)*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2)) + (2*((3^(1/2)*1i)/2 + 3/2)*(3*((3^(1/2)*1i)/2 + 1/2)^3 - 2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi(-((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 1/2), asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(((3^(1/2)*1i)/2 - 1/2)*(4*((3^(1/2)*1i)/2 + 1/2)^3 + 1)*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2))","B"
682,0,-1,53,0.000000,"\text{Not used}","int(((x^4 - 1)*(x^4 + 1)^(1/2))/(x^8 + 1),x)","\int \frac{\left(x^4-1\right)\,\sqrt{x^4+1}}{x^8+1} \,d x","Not used",1,"int(((x^4 - 1)*(x^4 + 1)^(1/2))/(x^8 + 1), x)","F"
683,0,-1,53,0.000000,"\text{Not used}","int((x^8 - 1)/((x^4 + 1)^(1/2)*(x^8 + 1)),x)","\int \frac{x^8-1}{\sqrt{x^4+1}\,\left(x^8+1\right)} \,d x","Not used",1,"int((x^8 - 1)/((x^4 + 1)^(1/2)*(x^8 + 1)), x)","F"
684,0,-1,53,0.000000,"\text{Not used}","int(((x^4 - 2)^(1/2)*(x^4 + 2))/(x^8 - 6*x^4 + 4),x)","\int \frac{\sqrt{x^4-2}\,\left(x^4+2\right)}{x^8-6\,x^4+4} \,d x","Not used",1,"int(((x^4 - 2)^(1/2)*(x^4 + 2))/(x^8 - 6*x^4 + 4), x)","F"
685,0,-1,53,0.000000,"\text{Not used}","int(-(2*b - a*x^4)/((a*x^4 - b)^(1/4)*(a*x^4 - b + 2*x^8)),x)","\int -\frac{2\,b-a\,x^4}{{\left(a\,x^4-b\right)}^{1/4}\,\left(2\,x^8+a\,x^4-b\right)} \,d x","Not used",1,"int(-(2*b - a*x^4)/((a*x^4 - b)^(1/4)*(a*x^4 - b + 2*x^8)), x)","F"
686,0,-1,53,0.000000,"\text{Not used}","int(1/(x^2*(x + (x^2 + 1)^(1/2))^(1/2)),x)","\int \frac{1}{x^2\,\sqrt{x+\sqrt{x^2+1}}} \,d x","Not used",1,"int(1/(x^2*(x + (x^2 + 1)^(1/2))^(1/2)), x)","F"
687,0,-1,54,0.000000,"\text{Not used}","int((k^(1/2)*x - 1)/((k^(1/2)*x + 1)*((x^2 - 1)*(k^2*x^2 - 1))^(1/2)),x)","\int \frac{\sqrt{k}\,x-1}{\left(\sqrt{k}\,x+1\right)\,\sqrt{\left(x^2-1\right)\,\left(k^2\,x^2-1\right)}} \,d x","Not used",1,"int((k^(1/2)*x - 1)/((k^(1/2)*x + 1)*((x^2 - 1)*(k^2*x^2 - 1))^(1/2)), x)","F"
688,0,-1,54,0.000000,"\text{Not used}","int((k^(1/2)*x + 1)/((k^(1/2)*x - 1)*((x^2 - 1)*(k^2*x^2 - 1))^(1/2)),x)","\int \frac{\sqrt{k}\,x+1}{\left(\sqrt{k}\,x-1\right)\,\sqrt{\left(x^2-1\right)\,\left(k^2\,x^2-1\right)}} \,d x","Not used",1,"int((k^(1/2)*x + 1)/((k^(1/2)*x - 1)*((x^2 - 1)*(k^2*x^2 - 1))^(1/2)), x)","F"
689,0,-1,54,0.000000,"\text{Not used}","int((x + 2)/((x - 1)*(3*x - a*x^2 + x^3 - 1)^(1/2)),x)","\int \frac{x+2}{\left(x-1\right)\,\sqrt{x^3-a\,x^2+3\,x-1}} \,d x","Not used",1,"int((x + 2)/((x - 1)*(3*x - a*x^2 + x^3 - 1)^(1/2)), x)","F"
690,0,-1,54,0.000000,"\text{Not used}","int((x - 2)/((x + 1)*(3*x - a*x^2 + x^3 + 1)^(1/2)),x)","\int \frac{x-2}{\left(x+1\right)\,\sqrt{x^3-a\,x^2+3\,x+1}} \,d x","Not used",1,"int((x - 2)/((x + 1)*(3*x - a*x^2 + x^3 + 1)^(1/2)), x)","F"
691,0,-1,54,0.000000,"\text{Not used}","int(((x^4 - 1)*(x^4 + 1)^(1/4))/x^2,x)","\int \frac{\left(x^4-1\right)\,{\left(x^4+1\right)}^{1/4}}{x^2} \,d x","Not used",1,"int(((x^4 - 1)*(x^4 + 1)^(1/4))/x^2, x)","F"
692,0,-1,54,0.000000,"\text{Not used}","int(-(2*b + a*x^2)/((b + a*x^2)^(1/4)*(2*b + 2*a*x^2 - x^4)),x)","\int -\frac{a\,x^2+2\,b}{{\left(a\,x^2+b\right)}^{1/4}\,\left(-x^4+2\,a\,x^2+2\,b\right)} \,d x","Not used",1,"int(-(2*b + a*x^2)/((b + a*x^2)^(1/4)*(2*b + 2*a*x^2 - x^4)), x)","F"
693,0,-1,54,0.000000,"\text{Not used}","int((x^4 - x^3)^(1/4)/x,x)","\int \frac{{\left(x^4-x^3\right)}^{1/4}}{x} \,d x","Not used",1,"int((x^4 - x^3)^(1/4)/x, x)","F"
694,1,46,54,1.361967,"\text{Not used}","int(((x^3 - 1)*(x^6 - 1)^(1/2))/x^13,x)","\frac{\frac{\sqrt{x^6-1}}{24}-\frac{{\left(x^6-1\right)}^{3/2}}{24}}{x^{12}}-\frac{\mathrm{atan}\left(\sqrt{x^6-1}\right)}{24}+\frac{{\left(x^6-1\right)}^{3/2}}{9\,x^9}","Not used",1,"((x^6 - 1)^(1/2)/24 - (x^6 - 1)^(3/2)/24)/x^12 - atan((x^6 - 1)^(1/2))/24 + (x^6 - 1)^(3/2)/(9*x^9)","B"
695,0,-1,54,0.000000,"\text{Not used}","int(((x - x^4)^(1/3)*(x^3 + 2))/(x^2 - 2*x^3 - x^4 - x^5 + x^6 + 1),x)","\int \frac{{\left(x-x^4\right)}^{1/3}\,\left(x^3+2\right)}{x^6-x^5-x^4-2\,x^3+x^2+1} \,d x","Not used",1,"int(((x - x^4)^(1/3)*(x^3 + 2))/(x^2 - 2*x^3 - x^4 - x^5 + x^6 + 1), x)","F"
696,0,-1,54,0.000000,"\text{Not used}","int(((x - x^4)^(1/3)*(x^3 + 2))/(x^2 - 2*x^3 - x^4 - x^5 + x^6 + 1),x)","\int \frac{{\left(x-x^4\right)}^{1/3}\,\left(x^3+2\right)}{x^6-x^5-x^4-2\,x^3+x^2+1} \,d x","Not used",1,"int(((x - x^4)^(1/3)*(x^3 + 2))/(x^2 - 2*x^3 - x^4 - x^5 + x^6 + 1), x)","F"
697,0,-1,54,0.000000,"\text{Not used}","int(1/(2*x^4 + x^8 + 1)^(1/8),x)","\int \frac{1}{{\left(x^8+2\,x^4+1\right)}^{1/8}} \,d x","Not used",1,"int(1/(2*x^4 + x^8 + 1)^(1/8), x)","F"
698,0,-1,54,0.000000,"\text{Not used}","int(1/(x*(x + (x^2 + 1)^(1/2))^(1/2)),x)","\int \frac{1}{x\,\sqrt{x+\sqrt{x^2+1}}} \,d x","Not used",1,"int(1/(x*(x + (x^2 + 1)^(1/2))^(1/2)), x)","F"
699,1,84,55,3.101554,"\text{Not used}","int((k^2*x^2 - 2*x + 1)/((2*x + x^2*(k^2 - 2) - 1)*(x*(k^2*x - 1)*(x - 1))^(1/2)),x)","\frac{\ln\left(\frac{x\,2{}\mathrm{i}+k^2\,x^2\,1{}\mathrm{i}-k^2\,x\,2{}\mathrm{i}-x^2\,2{}\mathrm{i}-2\,\sqrt{k^2-2}\,\sqrt{x\,\left(k^2\,x-1\right)\,\left(x-1\right)}+1{}\mathrm{i}}{2\,k^2\,x^2-4\,x^2+4\,x-2}\right)\,1{}\mathrm{i}}{\sqrt{k^2-2}}","Not used",1,"(log((x*2i + k^2*x^2*1i - k^2*x*2i - x^2*2i - 2*(k^2 - 2)^(1/2)*(x*(k^2*x - 1)*(x - 1))^(1/2) + 1i)/(4*x + 2*k^2*x^2 - 4*x^2 - 2))*1i)/(k^2 - 2)^(1/2)","B"
700,1,39,55,0.714023,"\text{Not used}","int(1/(x*(b + a*x^3)^(3/4)),x)","-\frac{2\,\mathrm{atan}\left(\frac{{\left(a\,x^3+b\right)}^{1/4}}{b^{1/4}}\right)}{3\,b^{3/4}}-\frac{2\,\mathrm{atanh}\left(\frac{{\left(a\,x^3+b\right)}^{1/4}}{b^{1/4}}\right)}{3\,b^{3/4}}","Not used",1,"- (2*atan((b + a*x^3)^(1/4)/b^(1/4)))/(3*b^(3/4)) - (2*atanh((b + a*x^3)^(1/4)/b^(1/4)))/(3*b^(3/4))","B"
701,1,69,55,0.812664,"\text{Not used}","int(-((b + a*x^3)^(1/2)*(b - a*x^3))/x^4,x)","\frac{2\,a\,\sqrt{a\,x^3+b}}{3}+\frac{b\,\sqrt{a\,x^3+b}}{3\,x^3}+\frac{a\,\sqrt{b}\,\ln\left(\frac{{\left(\sqrt{a\,x^3+b}-\sqrt{b}\right)}^3\,\left(\sqrt{a\,x^3+b}+\sqrt{b}\right)}{x^6}\right)}{6}","Not used",1,"(2*a*(b + a*x^3)^(1/2))/3 + (b*(b + a*x^3)^(1/2))/(3*x^3) + (a*b^(1/2)*log((((b + a*x^3)^(1/2) - b^(1/2))^3*((b + a*x^3)^(1/2) + b^(1/2)))/x^6))/6","B"
702,1,84,55,1.825753,"\text{Not used}","int((k^2*x^2 - 2*x + 1)/((x - k^2*x^2 + k^2*x^3 - x^2)^(1/2)*(2*x + k^2*x^2 - 2*x^2 - 1)),x)","\frac{\ln\left(\frac{x\,2{}\mathrm{i}+k^2\,x^2\,1{}\mathrm{i}-k^2\,x\,2{}\mathrm{i}-x^2\,2{}\mathrm{i}-2\,\sqrt{k^2-2}\,\sqrt{x\,\left(k^2\,x-1\right)\,\left(x-1\right)}+1{}\mathrm{i}}{2\,k^2\,x^2-4\,x^2+4\,x-2}\right)\,1{}\mathrm{i}}{\sqrt{k^2-2}}","Not used",1,"(log((x*2i + k^2*x^2*1i - k^2*x*2i - x^2*2i - 2*(k^2 - 2)^(1/2)*(x*(k^2*x - 1)*(x - 1))^(1/2) + 1i)/(4*x + 2*k^2*x^2 - 4*x^2 - 2))*1i)/(k^2 - 2)^(1/2)","B"
703,1,31,55,0.776604,"\text{Not used}","int((x + 2)/(x*(x^4 + 1)^(1/4)),x)","\mathrm{atan}\left({\left(x^4+1\right)}^{1/4}\right)-\mathrm{atanh}\left({\left(x^4+1\right)}^{1/4}\right)+x\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{1}{4};\ \frac{5}{4};\ -x^4\right)","Not used",1,"atan((x^4 + 1)^(1/4)) - atanh((x^4 + 1)^(1/4)) + x*hypergeom([1/4, 1/4], 5/4, -x^4)","B"
704,0,-1,55,0.000000,"\text{Not used}","int(x^6*(x^4 + 1)^(1/4),x)","\int x^6\,{\left(x^4+1\right)}^{1/4} \,d x","Not used",1,"int(x^6*(x^4 + 1)^(1/4), x)","F"
705,0,-1,55,0.000000,"\text{Not used}","int((x^4 - x)^(1/4)/x^2,x)","\int \frac{{\left(x^4-x\right)}^{1/4}}{x^2} \,d x","Not used",1,"int((x^4 - x)^(1/4)/x^2, x)","F"
706,0,-1,55,0.000000,"\text{Not used}","int(x*(x^4 - x)^(1/4),x)","\int x\,{\left(x^4-x\right)}^{1/4} \,d x","Not used",1,"int(x*(x^4 - x)^(1/4), x)","F"
707,0,-1,55,0.000000,"\text{Not used}","int(-((x^4 - x)^(1/2)*(b - a*x^3))/x^3,x)","-\int \frac{\sqrt{x^4-x}\,\left(b-a\,x^3\right)}{x^3} \,d x","Not used",1,"-int(((x^4 - x)^(1/2)*(b - a*x^3))/x^3, x)","F"
708,1,29,55,0.717035,"\text{Not used}","int((x^4 - x^3)^(1/4)/x^2,x)","-\frac{4\,{\left(x^4-x^3\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{4},-\frac{1}{4};\ \frac{3}{4};\ x\right)}{x\,{\left(1-x\right)}^{1/4}}","Not used",1,"-(4*(x^4 - x^3)^(1/4)*hypergeom([-1/4, -1/4], 3/4, x))/(x*(1 - x)^(1/4))","B"
709,0,-1,55,0.000000,"\text{Not used}","int(x/(18*x - 11*x^2 + 6*x^3 + x^4 - 17)^(1/2),x)","\int \frac{x}{\sqrt{x^4+6\,x^3-11\,x^2+18\,x-17}} \,d x","Not used",1,"int(x/(18*x - 11*x^2 + 6*x^3 + x^4 - 17)^(1/2), x)","F"
710,0,-1,55,0.000000,"\text{Not used}","int(((x + 2*x^4 + 2)*(x^4 - x^2 - x - 1)^(1/2))/((x - x^4 + 1)*(x - x^2 - x^4 + 1)),x)","\int \frac{\left(2\,x^4+x+2\right)\,\sqrt{x^4-x^2-x-1}}{\left(-x^4+x+1\right)\,\left(-x^4-x^2+x+1\right)} \,d x","Not used",1,"int(((x + 2*x^4 + 2)*(x^4 - x^2 - x - 1)^(1/2))/((x - x^4 + 1)*(x - x^2 - x^4 + 1)), x)","F"
711,1,34,55,0.696539,"\text{Not used}","int(1/(x*(b + a*x^4)^(3/4)),x)","-\frac{\mathrm{atan}\left(\frac{{\left(a\,x^4+b\right)}^{1/4}}{b^{1/4}}\right)+\mathrm{atanh}\left(\frac{{\left(a\,x^4+b\right)}^{1/4}}{b^{1/4}}\right)}{2\,b^{3/4}}","Not used",1,"-(atan((b + a*x^4)^(1/4)/b^(1/4)) + atanh((b + a*x^4)^(1/4)/b^(1/4)))/(2*b^(3/4))","B"
712,1,36,55,0.665735,"\text{Not used}","int(1/(x*(b + a*x^4)^(1/4)),x)","\frac{\mathrm{atan}\left(\frac{{\left(a\,x^4+b\right)}^{1/4}}{b^{1/4}}\right)-\mathrm{atanh}\left(\frac{{\left(a\,x^4+b\right)}^{1/4}}{b^{1/4}}\right)}{2\,b^{1/4}}","Not used",1,"(atan((b + a*x^4)^(1/4)/b^(1/4)) - atanh((b + a*x^4)^(1/4)/b^(1/4)))/(2*b^(1/4))","B"
713,1,39,55,0.709033,"\text{Not used}","int(1/(x*(b + a*x^5)^(3/4)),x)","-\frac{2\,\mathrm{atan}\left(\frac{{\left(a\,x^5+b\right)}^{1/4}}{b^{1/4}}\right)}{5\,b^{3/4}}-\frac{2\,\mathrm{atanh}\left(\frac{{\left(a\,x^5+b\right)}^{1/4}}{b^{1/4}}\right)}{5\,b^{3/4}}","Not used",1,"- (2*atan((b + a*x^5)^(1/4)/b^(1/4)))/(5*b^(3/4)) - (2*atanh((b + a*x^5)^(1/4)/b^(1/4)))/(5*b^(3/4))","B"
714,1,54,55,1.123171,"\text{Not used}","int(((x^6 - 1)^(1/2)*(2*x^3 + 1))/x,x)","\frac{\sqrt{x^6-1}}{3}-\frac{\ln\left(\sqrt{x^6-1}+x^3\right)}{3}+\frac{x^3\,\sqrt{x^6-1}}{3}-\frac{\ln\left(\frac{\sqrt{x^6-1}+1{}\mathrm{i}}{x^3}\right)\,1{}\mathrm{i}}{3}","Not used",1,"(x^6 - 1)^(1/2)/3 - (log(((x^6 - 1)^(1/2) + 1i)/x^3)*1i)/3 - log((x^6 - 1)^(1/2) + x^3)/3 + (x^3*(x^6 - 1)^(1/2))/3","B"
715,0,-1,55,0.000000,"\text{Not used}","int(((x^3 - 2)*(x + x^3 + x^4)^(1/3))/(x^2 + 2*x^3 + x^4 + x^5 + x^6 + 1),x)","\int \frac{\left(x^3-2\right)\,{\left(x^4+x^3+x\right)}^{1/3}}{x^6+x^5+x^4+2\,x^3+x^2+1} \,d x","Not used",1,"int(((x^3 - 2)*(x + x^3 + x^4)^(1/3))/(x^2 + 2*x^3 + x^4 + x^5 + x^6 + 1), x)","F"
716,0,-1,55,0.000000,"\text{Not used}","int(((x^3 - 2)*(x + x^3 + x^4)^(1/3))/(x^2 + 2*x^3 + x^4 + x^5 + x^6 + 1),x)","\int \frac{\left(x^3-2\right)\,{\left(x^4+x^3+x\right)}^{1/3}}{x^6+x^5+x^4+2\,x^3+x^2+1} \,d x","Not used",1,"int(((x^3 - 2)*(x + x^3 + x^4)^(1/3))/(x^2 + 2*x^3 + x^4 + x^5 + x^6 + 1), x)","F"
717,1,34,55,0.720935,"\text{Not used}","int(1/(x*(b + a*x^6)^(3/4)),x)","-\frac{\mathrm{atan}\left(\frac{{\left(a\,x^6+b\right)}^{1/4}}{b^{1/4}}\right)+\mathrm{atanh}\left(\frac{{\left(a\,x^6+b\right)}^{1/4}}{b^{1/4}}\right)}{3\,b^{3/4}}","Not used",1,"-(atan((b + a*x^6)^(1/4)/b^(1/4)) + atanh((b + a*x^6)^(1/4)/b^(1/4)))/(3*b^(3/4))","B"
718,0,-1,55,0.000000,"\text{Not used}","int(-(2*b - a*x^4)/((b + a*x^4)^(1/4)*(a*x^4 - b + x^8)),x)","\int -\frac{2\,b-a\,x^4}{{\left(a\,x^4+b\right)}^{1/4}\,\left(x^8+a\,x^4-b\right)} \,d x","Not used",1,"int(-(2*b - a*x^4)/((b + a*x^4)^(1/4)*(a*x^4 - b + x^8)), x)","F"
719,0,-1,55,0.000000,"\text{Not used}","int(-(2*b - a*x^4)/((b + a*x^4)^(1/4)*(a*x^4 - b + x^8)),x)","\int -\frac{2\,b-a\,x^4}{{\left(a\,x^4+b\right)}^{1/4}\,\left(x^8+a\,x^4-b\right)} \,d x","Not used",1,"int(-(2*b - a*x^4)/((b + a*x^4)^(1/4)*(a*x^4 - b + x^8)), x)","F"
720,0,-1,55,0.000000,"\text{Not used}","int(x^2/((b^2 + a^2*x^8)*(b + a*x^4)^(3/4)),x)","\int \frac{x^2}{\left(a^2\,x^8+b^2\right)\,{\left(a\,x^4+b\right)}^{3/4}} \,d x","Not used",1,"int(x^2/((b^2 + a^2*x^8)*(b + a*x^4)^(3/4)), x)","F"
721,0,-1,56,0.000000,"\text{Not used}","int(1/((x - x^(1/2))^(1/2)*(x - 1)),x)","\int \frac{1}{\sqrt{x-\sqrt{x}}\,\left(x-1\right)} \,d x","Not used",1,"int(1/((x - x^(1/2))^(1/2)*(x - 1)), x)","F"
722,0,-1,56,0.000000,"\text{Not used}","int(1/((2*x + 1)*(2*x + 2*x^2 + 1)^(1/4)),x)","\int \frac{1}{\left(2\,x+1\right)\,{\left(2\,x^2+2\,x+1\right)}^{1/4}} \,d x","Not used",1,"int(1/((2*x + 1)*(2*x + 2*x^2 + 1)^(1/4)), x)","F"
723,1,69,56,0.776610,"\text{Not used}","int(((b + a*x^3)^(1/2)*(2*b + a*x^3))/x^4,x)","\frac{2\,a\,\sqrt{a\,x^3+b}}{3}-\frac{2\,b\,\sqrt{a\,x^3+b}}{3\,x^3}+\frac{2\,a\,\sqrt{b}\,\ln\left(\frac{{\left(\sqrt{a\,x^3+b}-\sqrt{b}\right)}^3\,\left(\sqrt{a\,x^3+b}+\sqrt{b}\right)}{x^6}\right)}{3}","Not used",1,"(2*a*(b + a*x^3)^(1/2))/3 - (2*b*(b + a*x^3)^(1/2))/(3*x^3) + (2*a*b^(1/2)*log((((b + a*x^3)^(1/2) - b^(1/2))^3*((b + a*x^3)^(1/2) + b^(1/2)))/x^6))/3","B"
724,1,102,56,5.990733,"\text{Not used}","int(-((q + p*x^3)^(1/2)*(2*q - p*x^3))/(x^2*(a*q + b*x^2 + a*p*x^3)),x)","\frac{2\,\sqrt{p\,x^3+q}}{a\,x}+\frac{\sqrt{b}\,\ln\left(\frac{a^5\,b\,p^4\,x^2-a^6\,p^4\,\left(p\,x^3+q\right)+a^{11/2}\,\sqrt{b}\,p^4\,x\,\sqrt{p\,x^3+q}\,2{}\mathrm{i}}{4\,b^2\,q\,x^2+4\,a\,b\,q\,\left(p\,x^3+q\right)}\right)\,1{}\mathrm{i}}{a^{3/2}}","Not used",1,"(2*(q + p*x^3)^(1/2))/(a*x) + (b^(1/2)*log((a^5*b*p^4*x^2 - a^6*p^4*(q + p*x^3) + a^(11/2)*b^(1/2)*p^4*x*(q + p*x^3)^(1/2)*2i)/(4*b^2*q*x^2 + 4*a*b*q*(q + p*x^3)))*1i)/a^(3/2)","B"
725,0,-1,56,0.000000,"\text{Not used}","int((2*x - 1)/(4*x - 3*x^2 - 10*x^3 + x^4 - 8)^(1/2),x)","\int \frac{2\,x-1}{\sqrt{x^4-10\,x^3-3\,x^2+4\,x-8}} \,d x","Not used",1,"int((2*x - 1)/(4*x - 3*x^2 - 10*x^3 + x^4 - 8)^(1/2), x)","F"
726,0,-1,56,0.000000,"\text{Not used}","int((x - 1)/(12*x^2 - 16*x - 8*x^3 + x^4 + 4)^(1/2),x)","\int \frac{x-1}{\sqrt{x^4-8\,x^3+12\,x^2-16\,x+4}} \,d x","Not used",1,"int((x - 1)/(12*x^2 - 16*x - 8*x^3 + x^4 + 4)^(1/2), x)","F"
727,1,102,56,6.400020,"\text{Not used}","int(-((q + p*x^5)^(1/2)*(2*q - 3*p*x^5))/(x^2*(a*q + b*x^2 + a*p*x^5)),x)","\frac{2\,\sqrt{p\,x^5+q}}{a\,x}+\frac{\sqrt{b}\,\ln\left(\frac{a^5\,b\,p^4\,x^2-a^6\,p^4\,\left(p\,x^5+q\right)+a^{11/2}\,\sqrt{b}\,p^4\,x\,\sqrt{p\,x^5+q}\,2{}\mathrm{i}}{4\,b^2\,q\,x^2+4\,a\,b\,q\,\left(p\,x^5+q\right)}\right)\,1{}\mathrm{i}}{a^{3/2}}","Not used",1,"(2*(q + p*x^5)^(1/2))/(a*x) + (b^(1/2)*log((a^5*b*p^4*x^2 - a^6*p^4*(q + p*x^5) + a^(11/2)*b^(1/2)*p^4*x*(q + p*x^5)^(1/2)*2i)/(4*b^2*q*x^2 + 4*a*b*q*(q + p*x^5)))*1i)/a^(3/2)","B"
728,0,-1,56,0.000000,"\text{Not used}","int((x^2*(4*x^5 - 1))/((x^5 + 1)^2*(x + x^6)^(1/2)*(a - x + a*x^5)),x)","\int \frac{x^2\,\left(4\,x^5-1\right)}{{\left(x^5+1\right)}^2\,\sqrt{x^6+x}\,\left(a\,x^5-x+a\right)} \,d x","Not used",1,"int((x^2*(4*x^5 - 1))/((x^5 + 1)^2*(x + x^6)^(1/2)*(a - x + a*x^5)), x)","F"
729,1,51,56,1.046701,"\text{Not used}","int(-((x^4 - x)^(1/2)*(b - a*x^6))/x^6,x)","\frac{2\,a\,x\,\sqrt{x^4-x}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{2},\frac{1}{2};\ \frac{3}{2};\ x^3\right)}{3\,\sqrt{1-x^3}}-\frac{2\,b\,\sqrt{x^4-x}\,\left(x^3-1\right)}{9\,x^5}","Not used",1,"(2*a*x*(x^4 - x)^(1/2)*hypergeom([-1/2, 1/2], 3/2, x^3))/(3*(1 - x^3)^(1/2)) - (2*b*(x^4 - x)^(1/2)*(x^3 - 1))/(9*x^5)","B"
730,0,-1,56,0.000000,"\text{Not used}","int(-((q + p*x^6)^(1/2)*(2*q - p*x^6))/(x^3*(a*q + b*x^4 + a*p*x^6)),x)","\int -\frac{\sqrt{p\,x^6+q}\,\left(2\,q-p\,x^6\right)}{x^3\,\left(a\,p\,x^6+b\,x^4+a\,q\right)} \,d x","Not used",1,"int(-((q + p*x^6)^(1/2)*(2*q - p*x^6))/(x^3*(a*q + b*x^4 + a*p*x^6)), x)","F"
731,1,76,56,1.689999,"\text{Not used}","int(-(2*(q + p*x^6)^(1/2)*(2*q - p*x^6)*(a*q + b*x^4 + a*p*x^6))/x^11,x)","\sqrt{p\,x^6+q}\,\left(\frac{2\,a\,p^2\,x^2}{5}+\frac{2\,b\,p}{3}\right)+\frac{2\,a\,q^2\,\sqrt{p\,x^6+q}}{5\,x^{10}}+\frac{2\,b\,q\,\sqrt{p\,x^6+q}}{3\,x^6}+\frac{4\,a\,p\,q\,\sqrt{p\,x^6+q}}{5\,x^4}","Not used",1,"(q + p*x^6)^(1/2)*((2*b*p)/3 + (2*a*p^2*x^2)/5) + (2*a*q^2*(q + p*x^6)^(1/2))/(5*x^10) + (2*b*q*(q + p*x^6)^(1/2))/(3*x^6) + (4*a*p*q*(q + p*x^6)^(1/2))/(5*x^4)","B"
732,0,-1,56,0.000000,"\text{Not used}","int(1/(x^3*(96*x^4 - 256*x^2 - 16*x^6 + x^8 + 256)^(1/8)),x)","\int \frac{1}{x^3\,{\left(x^8-16\,x^6+96\,x^4-256\,x^2+256\right)}^{1/8}} \,d x","Not used",1,"int(1/(x^3*(96*x^4 - 256*x^2 - 16*x^6 + x^8 + 256)^(1/8)), x)","F"
733,0,-1,56,0.000000,"\text{Not used}","int((x^3*(5*b + 8*a*x^3))/((b*x + a*x^4)^(1/4)*(a*x^8 + b*x^5 - 2)),x)","\int \frac{x^3\,\left(8\,a\,x^3+5\,b\right)}{{\left(a\,x^4+b\,x\right)}^{1/4}\,\left(a\,x^8+b\,x^5-2\right)} \,d x","Not used",1,"int((x^3*(5*b + 8*a*x^3))/((b*x + a*x^4)^(1/4)*(a*x^8 + b*x^5 - 2)), x)","F"
734,1,48,56,0.097770,"\text{Not used}","int((1 - y^4 - x^2)^(1/2),x)","\frac{x\,\sqrt{-x^2-y^4+1}}{2}+\ln\left(\sqrt{-x^2-y^4+1}+x\,1{}\mathrm{i}\right)\,\left(\frac{y^4\,1{}\mathrm{i}}{2}-\frac{1}{2}{}\mathrm{i}\right)","Not used",1,"(x*(1 - y^4 - x^2)^(1/2))/2 + log(x*1i + (1 - y^4 - x^2)^(1/2))*((y^4*1i)/2 - 1i/2)","B"
735,1,122,57,3.841670,"\text{Not used}","int(-(k^2*x^2 - 2*k^2*x + 1)/((a + b*x - x^2*(a*k^2 + b*k^2))*(x*(k^2*x - 1)*(x - 1))^(1/2)),x)","\frac{\ln\left(\frac{a\,\sqrt{a\,\left(a+b\right)}-2\,a\,x\,\sqrt{a\,\left(a+b\right)}-b\,x\,\sqrt{a\,\left(a+b\right)}+a\,k^2\,x^2\,\sqrt{a\,\left(a+b\right)}+b\,k^2\,x^2\,\sqrt{a\,\left(a+b\right)}+a\,\left(a+b\right)\,\sqrt{x\,\left(k^2\,x-1\right)\,\left(x-1\right)}\,2{}\mathrm{i}}{a+b\,x-a\,k^2\,x^2-b\,k^2\,x^2}\right)\,1{}\mathrm{i}}{\sqrt{a^2+b\,a}}","Not used",1,"(log((a*(a*(a + b))^(1/2) - 2*a*x*(a*(a + b))^(1/2) - b*x*(a*(a + b))^(1/2) + a*(a + b)*(x*(k^2*x - 1)*(x - 1))^(1/2)*2i + a*k^2*x^2*(a*(a + b))^(1/2) + b*k^2*x^2*(a*(a + b))^(1/2))/(a + b*x - a*k^2*x^2 - b*k^2*x^2))*1i)/(a*b + a^2)^(1/2)","B"
736,0,-1,57,0.000000,"\text{Not used}","int((2*x^3 - x^2*(a + b + c) + a*b*c)/((-x*(a - x)*(b - x)*(c - x))^(1/2)*(d*x^3 + x*(a*b*d + a*c*d + b*c*d - 1) - d*x^2*(a + b + c) - a*b*c*d)),x)","\int \frac{2\,x^3+\left(-a-b-c\right)\,x^2+a\,b\,c}{\sqrt{-x\,\left(a-x\right)\,\left(b-x\right)\,\left(c-x\right)}\,\left(d\,x^3-d\,\left(a+b+c\right)\,x^2+\left(a\,b\,d+a\,c\,d+b\,c\,d-1\right)\,x-a\,b\,c\,d\right)} \,d x","Not used",1,"int((2*x^3 - x^2*(a + b + c) + a*b*c)/((-x*(a - x)*(b - x)*(c - x))^(1/2)*(d*x^3 + x*(a*b*d + a*c*d + b*c*d - 1) - d*x^2*(a + b + c) - a*b*c*d)), x)","F"
737,0,-1,57,0.000000,"\text{Not used}","int(x^6*(x^4 - 1)^(1/4),x)","\int x^6\,{\left(x^4-1\right)}^{1/4} \,d x","Not used",1,"int(x^6*(x^4 - 1)^(1/4), x)","F"
738,0,-1,57,0.000000,"\text{Not used}","int(((x^3 + x^4)^(1/4)*(2*x - 1))/x,x)","\int \frac{{\left(x^4+x^3\right)}^{1/4}\,\left(2\,x-1\right)}{x} \,d x","Not used",1,"int(((x^3 + x^4)^(1/4)*(2*x - 1))/x, x)","F"
739,0,-1,57,0.000000,"\text{Not used}","int(((x^4 - x^3 + 1)*(x^2 - 2*x^3 + x^4 - 1)^(1/2))/((2*x^3 - x^4 + 1)*(x^2 + 4*x^3 - 2*x^4 + 2)),x)","\int \frac{\left(x^4-x^3+1\right)\,\sqrt{x^4-2\,x^3+x^2-1}}{\left(-x^4+2\,x^3+1\right)\,\left(-2\,x^4+4\,x^3+x^2+2\right)} \,d x","Not used",1,"int(((x^4 - x^3 + 1)*(x^2 - 2*x^3 + x^4 - 1)^(1/2))/((2*x^3 - x^4 + 1)*(x^2 + 4*x^3 - 2*x^4 + 2)), x)","F"
740,0,-1,57,0.000000,"\text{Not used}","int(x^2/(b + a*x^4)^(3/4),x)","\int \frac{x^2}{{\left(a\,x^4+b\right)}^{3/4}} \,d x","Not used",1,"int(x^2/(b + a*x^4)^(3/4), x)","F"
741,0,-1,57,0.000000,"\text{Not used}","int(-1/((b + a*x^4)^(1/4)*(b - a*x^8)),x)","-\int \frac{1}{{\left(a\,x^4+b\right)}^{1/4}\,\left(b-a\,x^8\right)} \,d x","Not used",1,"-int(1/((b + a*x^4)^(1/4)*(b - a*x^8)), x)","F"
742,0,-1,57,0.000000,"\text{Not used}","int(-(b - a*x^8)/((b + a*x^8)^(1/4)*(b + a*x^8 - c*x^4)),x)","\int -\frac{b-a\,x^8}{{\left(a\,x^8+b\right)}^{1/4}\,\left(a\,x^8-c\,x^4+b\right)} \,d x","Not used",1,"int(-(b - a*x^8)/((b + a*x^8)^(1/4)*(b + a*x^8 - c*x^4)), x)","F"
743,0,-1,57,0.000000,"\text{Not used}","int(((2*x^5 - 3)*(2*x^5 + x^6 + x^10 + 1))/(x^6*(x + x^6)^(1/4)*(x^5 - x^3 + 1)),x)","\int \frac{\left(2\,x^5-3\right)\,\left(x^{10}+x^6+2\,x^5+1\right)}{x^6\,{\left(x^6+x\right)}^{1/4}\,\left(x^5-x^3+1\right)} \,d x","Not used",1,"int(((2*x^5 - 3)*(2*x^5 + x^6 + x^10 + 1))/(x^6*(x + x^6)^(1/4)*(x^5 - x^3 + 1)), x)","F"
744,0,-1,57,0.000000,"\text{Not used}","int(((x^4 + 1)^(1/2) + x^2)^(1/2),x)","\int \sqrt{\sqrt{x^4+1}+x^2} \,d x","Not used",1,"int(((x^4 + 1)^(1/2) + x^2)^(1/2), x)","F"
745,1,100,58,0.081104,"\text{Not used}","int(-(x - x^2 + 1)/((x^3 - x)^(1/2)*(x^2 + 1)),x)","\frac{-2\,\sqrt{-x}\,\sqrt{1-x}\,\sqrt{x+1}\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{-x}\right)\middle|-1\right)+\sqrt{-x}\,\sqrt{1-x}\,\sqrt{x+1}\,\Pi \left(-\mathrm{i};\mathrm{asin}\left(\sqrt{-x}\right)\middle|-1\right)\,\left(2-\mathrm{i}\right)+\sqrt{-x}\,\sqrt{1-x}\,\sqrt{x+1}\,\Pi \left(1{}\mathrm{i};\mathrm{asin}\left(\sqrt{-x}\right)\middle|-1\right)\,\left(2+1{}\mathrm{i}\right)}{\sqrt{x^3-x}}","Not used",1,"((-x)^(1/2)*(1 - x)^(1/2)*(x + 1)^(1/2)*ellipticPi(-1i, asin((-x)^(1/2)), -1)*(2 - 1i) - 2*(-x)^(1/2)*(1 - x)^(1/2)*(x + 1)^(1/2)*ellipticF(asin((-x)^(1/2)), -1) + (-x)^(1/2)*(1 - x)^(1/2)*(x + 1)^(1/2)*ellipticPi(1i, asin((-x)^(1/2)), -1)*(2 + 1i))/(x^3 - x)^(1/2)","B"
746,1,100,58,0.559907,"\text{Not used}","int((x + x^2 - 1)/((x^3 - x)^(1/2)*(x^2 + 1)),x)","\frac{-2\,\sqrt{-x}\,\sqrt{1-x}\,\sqrt{x+1}\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{-x}\right)\middle|-1\right)+\sqrt{-x}\,\sqrt{1-x}\,\sqrt{x+1}\,\Pi \left(-\mathrm{i};\mathrm{asin}\left(\sqrt{-x}\right)\middle|-1\right)\,\left(2+1{}\mathrm{i}\right)+\sqrt{-x}\,\sqrt{1-x}\,\sqrt{x+1}\,\Pi \left(1{}\mathrm{i};\mathrm{asin}\left(\sqrt{-x}\right)\middle|-1\right)\,\left(2-\mathrm{i}\right)}{\sqrt{x^3-x}}","Not used",1,"((-x)^(1/2)*(1 - x)^(1/2)*(x + 1)^(1/2)*ellipticPi(-1i, asin((-x)^(1/2)), -1)*(2 + 1i) - 2*(-x)^(1/2)*(1 - x)^(1/2)*(x + 1)^(1/2)*ellipticF(asin((-x)^(1/2)), -1) + (-x)^(1/2)*(1 - x)^(1/2)*(x + 1)^(1/2)*ellipticPi(1i, asin((-x)^(1/2)), -1)*(2 - 1i))/(x^3 - x)^(1/2)","B"
747,1,100,58,0.562824,"\text{Not used}","int((x + 7*x^2 - 7)/((x^3 - x)^(1/2)*(x^2 + 1)),x)","\frac{-14\,\sqrt{-x}\,\sqrt{1-x}\,\sqrt{x+1}\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{-x}\right)\middle|-1\right)+\sqrt{-x}\,\sqrt{1-x}\,\sqrt{x+1}\,\Pi \left(-\mathrm{i};\mathrm{asin}\left(\sqrt{-x}\right)\middle|-1\right)\,\left(14+1{}\mathrm{i}\right)+\sqrt{-x}\,\sqrt{1-x}\,\sqrt{x+1}\,\Pi \left(1{}\mathrm{i};\mathrm{asin}\left(\sqrt{-x}\right)\middle|-1\right)\,\left(14-\mathrm{i}\right)}{\sqrt{x^3-x}}","Not used",1,"((-x)^(1/2)*(1 - x)^(1/2)*(x + 1)^(1/2)*ellipticPi(-1i, asin((-x)^(1/2)), -1)*(14 + 1i) - 14*(-x)^(1/2)*(1 - x)^(1/2)*(x + 1)^(1/2)*ellipticF(asin((-x)^(1/2)), -1) + (-x)^(1/2)*(1 - x)^(1/2)*(x + 1)^(1/2)*ellipticPi(1i, asin((-x)^(1/2)), -1)*(14 - 1i))/(x^3 - x)^(1/2)","B"
748,0,-1,58,0.000000,"\text{Not used}","int(1/((x^3 - x^2)^(1/4)*(x - 2)),x)","\int \frac{1}{{\left(x^3-x^2\right)}^{1/4}\,\left(x-2\right)} \,d x","Not used",1,"int(1/((x^3 - x^2)^(1/4)*(x - 2)), x)","F"
749,0,-1,58,0.000000,"\text{Not used}","int((x^4 - x)^(1/2)*(b + a*x^3),x)","\int \sqrt{x^4-x}\,\left(a\,x^3+b\right) \,d x","Not used",1,"int((x^4 - x)^(1/2)*(b + a*x^3), x)","F"
750,0,-1,58,0.000000,"\text{Not used}","int(-(x - 2*x^2 + 2)/((x^2 + 1)*(x^2 + x^4 + 1)^(1/2)),x)","\int -\frac{-2\,x^2+x+2}{\left(x^2+1\right)\,\sqrt{x^4+x^2+1}} \,d x","Not used",1,"int(-(x - 2*x^2 + 2)/((x^2 + 1)*(x^2 + x^4 + 1)^(1/2)), x)","F"
751,0,-1,58,0.000000,"\text{Not used}","int((x^3*(5*b - 9*a*x^4))/((a*x^5 - b*x)^(1/4)*(b*x^5 - a*x^9 + 2)),x)","\int \frac{x^3\,\left(5\,b-9\,a\,x^4\right)}{{\left(a\,x^5-b\,x\right)}^{1/4}\,\left(-a\,x^9+b\,x^5+2\right)} \,d x","Not used",1,"int((x^3*(5*b - 9*a*x^4))/((a*x^5 - b*x)^(1/4)*(b*x^5 - a*x^9 + 2)), x)","F"
752,1,223,59,0.170363,"\text{Not used}","int((x^2 + 1)/((x^2 - 1)*(x + x^2 + x^3)^(1/2)),x)","-\frac{\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\left(\sqrt{3}+1{}\mathrm{i}\right)\,\left(-\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)+\Pi \left(\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)+\Pi \left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)\right)\,1{}\mathrm{i}}{\sqrt{x^3+x^2-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,x}}","Not used",1,"-((x/((3^(1/2)*1i)/2 - 1/2))^(1/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 1/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 1/2))^(1/2)*(3^(1/2) + 1i)*(ellipticPi(1/2 - (3^(1/2)*1i)/2, asin((x/((3^(1/2)*1i)/2 - 1/2))^(1/2)), -((3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 + 1/2)) - ellipticF(asin((x/((3^(1/2)*1i)/2 - 1/2))^(1/2)), -((3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 + 1/2)) + ellipticPi((3^(1/2)*1i)/2 - 1/2, asin((x/((3^(1/2)*1i)/2 - 1/2))^(1/2)), -((3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 + 1/2)))*1i)/(x^2 + x^3 - x*((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2)","B"
753,0,-1,59,0.000000,"\text{Not used}","int((2*x^3 - x^2*(a + b + c) + a*b*c)/((-x*(a - x)*(b - x)*(c - x))^(1/2)*(x*(a*b - d + a*c + b*c) - x^2*(a + b + c) + x^3 - a*b*c)),x)","\int \frac{2\,x^3+\left(-a-b-c\right)\,x^2+a\,b\,c}{\sqrt{-x\,\left(a-x\right)\,\left(b-x\right)\,\left(c-x\right)}\,\left(x^3+\left(-a-b-c\right)\,x^2+\left(a\,b-d+a\,c+b\,c\right)\,x-a\,b\,c\right)} \,d x","Not used",1,"int((2*x^3 - x^2*(a + b + c) + a*b*c)/((-x*(a - x)*(b - x)*(c - x))^(1/2)*(x*(a*b - d + a*c + b*c) - x^2*(a + b + c) + x^3 - a*b*c)), x)","F"
754,1,74,59,0.956198,"\text{Not used}","int(-((b + a*x^3)^(1/2)*(b - a*x^3))/x^7,x)","\frac{b\,\sqrt{a\,x^3+b}}{6\,x^6}-\frac{a\,\sqrt{a\,x^3+b}}{4\,x^3}+\frac{5\,a^2\,\ln\left(\frac{{\left(\sqrt{a\,x^3+b}-\sqrt{b}\right)}^3\,\left(\sqrt{a\,x^3+b}+\sqrt{b}\right)}{x^6}\right)}{24\,\sqrt{b}}","Not used",1,"(b*(b + a*x^3)^(1/2))/(6*x^6) - (a*(b + a*x^3)^(1/2))/(4*x^3) + (5*a^2*log((((b + a*x^3)^(1/2) - b^(1/2))^3*((b + a*x^3)^(1/2) + b^(1/2)))/x^6))/(24*b^(1/2))","B"
755,1,74,59,0.931084,"\text{Not used}","int(((b + a*x^3)^(1/2)*(2*b + a*x^3))/x^7,x)","\frac{a^2\,\ln\left(\frac{{\left(\sqrt{a\,x^3+b}-\sqrt{b}\right)}^3\,\left(\sqrt{a\,x^3+b}+\sqrt{b}\right)}{x^6}\right)}{12\,\sqrt{b}}-\frac{b\,\sqrt{a\,x^3+b}}{3\,x^6}-\frac{a\,\sqrt{a\,x^3+b}}{2\,x^3}","Not used",1,"(a^2*log((((b + a*x^3)^(1/2) - b^(1/2))^3*((b + a*x^3)^(1/2) + b^(1/2)))/x^6))/(12*b^(1/2)) - (b*(b + a*x^3)^(1/2))/(3*x^6) - (a*(b + a*x^3)^(1/2))/(2*x^3)","B"
756,0,-1,59,0.000000,"\text{Not used}","int((x^3*(a + b + c) - 2*x^2*(a*b + a*c + b*c) + 3*a*b*c*x)/((x^2*(a + b + c) - x*(a*b + a*c + b*c) + x^3*(d - 1) + a*b*c)*(-x*(a - x)*(b - x)*(c - x))^(1/2)),x)","\int \frac{x^3\,\left(a+b+c\right)-2\,x^2\,\left(a\,b+a\,c+b\,c\right)+3\,a\,b\,c\,x}{\left(\left(d-1\right)\,x^3+\left(a+b+c\right)\,x^2+\left(-a\,b-a\,c-b\,c\right)\,x+a\,b\,c\right)\,\sqrt{-x\,\left(a-x\right)\,\left(b-x\right)\,\left(c-x\right)}} \,d x","Not used",1,"int((x^3*(a + b + c) - 2*x^2*(a*b + a*c + b*c) + 3*a*b*c*x)/((x^2*(a + b + c) - x*(a*b + a*c + b*c) + x^3*(d - 1) + a*b*c)*(-x*(a - x)*(b - x)*(c - x))^(1/2)), x)","F"
757,0,-1,59,0.000000,"\text{Not used}","int((x*(x^2*(a + b + c) - 2*x*(a*b + a*c + b*c) + 3*a*b*c))/((x^3*(d - 1) + d*x*(a*b + a*c + b*c) - d*x^2*(a + b + c) - a*b*c*d)*(-x*(a - x)*(b - x)*(c - x))^(1/2)),x)","\int \frac{x\,\left(x^2\,\left(a+b+c\right)-2\,x\,\left(a\,b+a\,c+b\,c\right)+3\,a\,b\,c\right)}{\left(\left(d-1\right)\,x^3-d\,\left(a+b+c\right)\,x^2+d\,\left(a\,b+a\,c+b\,c\right)\,x-a\,b\,c\,d\right)\,\sqrt{-x\,\left(a-x\right)\,\left(b-x\right)\,\left(c-x\right)}} \,d x","Not used",1,"int((x*(x^2*(a + b + c) - 2*x*(a*b + a*c + b*c) + 3*a*b*c))/((x^3*(d - 1) + d*x*(a*b + a*c + b*c) - d*x^2*(a + b + c) - a*b*c*d)*(-x*(a - x)*(b - x)*(c - x))^(1/2)), x)","F"
758,1,31,59,0.767985,"\text{Not used}","int((x^4 - x^2)^(1/4),x)","\frac{2\,x\,{\left(x^4-x^2\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{4},\frac{3}{4};\ \frac{7}{4};\ x^2\right)}{3\,{\left(1-x^2\right)}^{1/4}}","Not used",1,"(2*x*(x^4 - x^2)^(1/4)*hypergeom([-1/4, 3/4], 7/4, x^2))/(3*(1 - x^2)^(1/4))","B"
759,0,-1,59,0.000000,"\text{Not used}","int(x^2*(x^2 + x^4)^(1/4),x)","\int x^2\,{\left(x^4+x^2\right)}^{1/4} \,d x","Not used",1,"int(x^2*(x^2 + x^4)^(1/4), x)","F"
760,0,-1,59,0.000000,"\text{Not used}","int(((2*x^4 - 1)*(3*x^2 + 2*x^4 + 1)^(1/2))/(2*x^2 + 2*x^4 + 1)^2,x)","\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)}^2} \,d x","Not used",1,"int(((2*x^4 - 1)*(3*x^2 + 2*x^4 + 1)^(1/2))/(2*x^2 + 2*x^4 + 1)^2, x)","F"
761,0,-1,59,0.000000,"\text{Not used}","int(((2*x^4 - x^3 + 2)*(x^2 - 2*x^3 + 2*x^4 - 2)^(1/2))/((x^3 - x^4 + 1)*(x^2 + 2*x^3 - 2*x^4 + 2)),x)","\int \frac{\left(2\,x^4-x^3+2\right)\,\sqrt{2\,x^4-2\,x^3+x^2-2}}{\left(-x^4+x^3+1\right)\,\left(-2\,x^4+2\,x^3+x^2+2\right)} \,d x","Not used",1,"int(((2*x^4 - x^3 + 2)*(x^2 - 2*x^3 + 2*x^4 - 2)^(1/2))/((x^3 - x^4 + 1)*(x^2 + 2*x^3 - 2*x^4 + 2)), x)","F"
762,0,-1,59,0.000000,"\text{Not used}","int(-(b - a*x^2)/((b^2 + a^2*x^4)^(1/2)*(b + a*x^2)),x)","\int -\frac{b-a\,x^2}{\sqrt{a^2\,x^4+b^2}\,\left(a\,x^2+b\right)} \,d x","Not used",1,"int(-(b - a*x^2)/((b^2 + a^2*x^4)^(1/2)*(b + a*x^2)), x)","F"
763,0,-1,59,0.000000,"\text{Not used}","int(-(3*b + a*x^4)/((a*x^5 - b*x)^(1/4)*(b - a*x^4 + x^3)),x)","\int -\frac{a\,x^4+3\,b}{{\left(a\,x^5-b\,x\right)}^{1/4}\,\left(-a\,x^4+x^3+b\right)} \,d x","Not used",1,"int(-(3*b + a*x^4)/((a*x^5 - b*x)^(1/4)*(b - a*x^4 + x^3)), x)","F"
764,1,54,59,1.038069,"\text{Not used}","int(((x^3 - 1)*(x^6 - 1)^(1/2))/x,x)","\frac{x^3\,\sqrt{x^6-1}}{6}-\frac{\sqrt{x^6-1}}{3}-\frac{\ln\left(\sqrt{x^6-1}+x^3\right)}{6}+\frac{\ln\left(\frac{\sqrt{x^6-1}+1{}\mathrm{i}}{x^3}\right)\,1{}\mathrm{i}}{3}","Not used",1,"(log(((x^6 - 1)^(1/2) + 1i)/x^3)*1i)/3 - log((x^6 - 1)^(1/2) + x^3)/6 - (x^6 - 1)^(1/2)/3 + (x^3*(x^6 - 1)^(1/2))/6","B"
765,0,-1,59,0.000000,"\text{Not used}","int(-(x*(4*x + 3)*(x^3 - 2*x - 1)^(1/3))/(8*x + 8*x^2 - x^6 + 2),x)","\int -\frac{x\,\left(4\,x+3\right)\,{\left(x^3-2\,x-1\right)}^{1/3}}{-x^6+8\,x^2+8\,x+2} \,d x","Not used",1,"int(-(x*(4*x + 3)*(x^3 - 2*x - 1)^(1/3))/(8*x + 8*x^2 - x^6 + 2), x)","F"
766,0,-1,59,0.000000,"\text{Not used}","int(-(x*(4*x + 3)*(x^3 - 2*x - 1)^(1/3))/(8*x + 8*x^2 - x^6 + 2),x)","\int -\frac{x\,\left(4\,x+3\right)\,{\left(x^3-2\,x-1\right)}^{1/3}}{-x^6+8\,x^2+8\,x+2} \,d x","Not used",1,"int(-(x*(4*x + 3)*(x^3 - 2*x - 1)^(1/3))/(8*x + 8*x^2 - x^6 + 2), x)","F"
767,0,-1,59,0.000000,"\text{Not used}","int(((2*x + 3)*(x + x^3 + 1)^(2/3))/(2*x + x^2 + x^3 + x^4 + x^6 + 1),x)","\int \frac{\left(2\,x+3\right)\,{\left(x^3+x+1\right)}^{2/3}}{x^6+x^4+x^3+x^2+2\,x+1} \,d x","Not used",1,"int(((2*x + 3)*(x + x^3 + 1)^(2/3))/(2*x + x^2 + x^3 + x^4 + x^6 + 1), x)","F"
768,0,-1,59,0.000000,"\text{Not used}","int(((2*x + 3)*(x + x^3 + 1)^(2/3))/(2*x + x^2 + x^3 + x^4 + x^6 + 1),x)","\int \frac{\left(2\,x+3\right)\,{\left(x^3+x+1\right)}^{2/3}}{x^6+x^4+x^3+x^2+2\,x+1} \,d x","Not used",1,"int(((2*x + 3)*(x + x^3 + 1)^(2/3))/(2*x + x^2 + x^3 + x^4 + x^6 + 1), x)","F"
769,0,-1,59,0.000000,"\text{Not used}","int(((x^3 + 2)*(x + x^3 - x^4)^(1/3))/(x^2 - 2*x^3 + x^4 - x^5 + x^6 + 1),x)","\int \frac{\left(x^3+2\right)\,{\left(-x^4+x^3+x\right)}^{1/3}}{x^6-x^5+x^4-2\,x^3+x^2+1} \,d x","Not used",1,"int(((x^3 + 2)*(x + x^3 - x^4)^(1/3))/(x^2 - 2*x^3 + x^4 - x^5 + x^6 + 1), x)","F"
770,0,-1,59,0.000000,"\text{Not used}","int(((x^3 + 2)*(x + x^3 - x^4)^(1/3))/(x^2 - 2*x^3 + x^4 - x^5 + x^6 + 1),x)","\int \frac{\left(x^3+2\right)\,{\left(-x^4+x^3+x\right)}^{1/3}}{x^6-x^5+x^4-2\,x^3+x^2+1} \,d x","Not used",1,"int(((x^3 + 2)*(x + x^3 - x^4)^(1/3))/(x^2 - 2*x^3 + x^4 - x^5 + x^6 + 1), x)","F"
771,0,-1,59,0.000000,"\text{Not used}","int(-((x^2 + 3)*(x^2 + x^3 + 1)^(2/3))/(2*x^2 - x^3 + x^4 - x^5 - x^6 + 1),x)","\int -\frac{\left(x^2+3\right)\,{\left(x^3+x^2+1\right)}^{2/3}}{-x^6-x^5+x^4-x^3+2\,x^2+1} \,d x","Not used",1,"int(-((x^2 + 3)*(x^2 + x^3 + 1)^(2/3))/(2*x^2 - x^3 + x^4 - x^5 - x^6 + 1), x)","F"
772,0,-1,59,0.000000,"\text{Not used}","int(-((x^2 + 3)*(x^2 + x^3 + 1)^(2/3))/(2*x^2 - x^3 + x^4 - x^5 - x^6 + 1),x)","\int -\frac{\left(x^2+3\right)\,{\left(x^3+x^2+1\right)}^{2/3}}{-x^6-x^5+x^4-x^3+2\,x^2+1} \,d x","Not used",1,"int(-((x^2 + 3)*(x^2 + x^3 + 1)^(2/3))/(2*x^2 - x^3 + x^4 - x^5 - x^6 + 1), x)","F"
773,0,-1,59,0.000000,"\text{Not used}","int((b + a*x^8)/((b - a*x^8)^(1/4)*(a*x^8 - b + c*x^4)),x)","\int \frac{a\,x^8+b}{{\left(b-a\,x^8\right)}^{1/4}\,\left(a\,x^8+c\,x^4-b\right)} \,d x","Not used",1,"int((b + a*x^8)/((b - a*x^8)^(1/4)*(a*x^8 - b + c*x^4)), x)","F"
774,0,-1,59,0.000000,"\text{Not used}","int((x*(5*x^8 - 6)*(x^8 - x^3 + 2)^(1/3))/(x^6 + 4*x^8 + x^16 + 4),x)","\int \frac{x\,\left(5\,x^8-6\right)\,{\left(x^8-x^3+2\right)}^{1/3}}{x^{16}+4\,x^8+x^6+4} \,d x","Not used",1,"int((x*(5*x^8 - 6)*(x^8 - x^3 + 2)^(1/3))/(x^6 + 4*x^8 + x^16 + 4), x)","F"
775,1,711,60,0.822117,"\text{Not used}","int((a*b + a*c - b*c - 2*a*x + x^2)/((-(a - x)*(b - x)*(c - x))^(1/2)*(a*d + b*c - x*(b + c + d) + x^2)),x)","\frac{2\,\left(a-c\right)\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{-\frac{c-x}{a-c}}\right)\middle|\frac{a-c}{b-c}\right)\,\sqrt{\frac{a-x}{a-c}}\,\sqrt{-\frac{c-x}{a-c}}\,\sqrt{\frac{b-x}{b-c}}}{\sqrt{x^3+\left(-a-b-c\right)\,x^2+\left(a\,b+a\,c+b\,c\right)\,x-a\,b\,c}}+\frac{2\,\left(a-c\right)\,\sqrt{\frac{a-x}{a-c}}\,\sqrt{-\frac{c-x}{a-c}}\,\sqrt{\frac{b-x}{b-c}}\,\Pi \left(\frac{a-c}{\frac{b}{2}-\frac{c}{2}+\frac{d}{2}-\frac{\sqrt{b^2-2\,b\,c+2\,b\,d+c^2+2\,c\,d+d^2-4\,a\,d}}{2}};\mathrm{asin}\left(\sqrt{-\frac{c-x}{a-c}}\right)\middle|\frac{a-c}{b-c}\right)\,\left(a\,b+a\,c-a\,d-2\,b\,c+\left(b-2\,a+c+d\right)\,\left(\frac{b}{2}+\frac{c}{2}+\frac{d}{2}-\frac{\sqrt{b^2-2\,b\,c+2\,b\,d+c^2+2\,c\,d+d^2-4\,a\,d}}{2}\right)\right)}{\sqrt{x^3+\left(-a-b-c\right)\,x^2+\left(a\,b+a\,c+b\,c\right)\,x-a\,b\,c}\,\left(\frac{b}{2}-\frac{c}{2}+\frac{d}{2}-\frac{\sqrt{b^2-2\,b\,c+2\,b\,d+c^2+2\,c\,d+d^2-4\,a\,d}}{2}\right)\,\sqrt{b^2-2\,b\,c+2\,b\,d+c^2+2\,c\,d+d^2-4\,a\,d}}-\frac{2\,\left(a-c\right)\,\sqrt{\frac{a-x}{a-c}}\,\sqrt{-\frac{c-x}{a-c}}\,\sqrt{\frac{b-x}{b-c}}\,\Pi \left(\frac{a-c}{\frac{b}{2}-\frac{c}{2}+\frac{d}{2}+\frac{\sqrt{b^2-2\,b\,c+2\,b\,d+c^2+2\,c\,d+d^2-4\,a\,d}}{2}};\mathrm{asin}\left(\sqrt{-\frac{c-x}{a-c}}\right)\middle|\frac{a-c}{b-c}\right)\,\left(a\,b+a\,c-a\,d-2\,b\,c+\left(b-2\,a+c+d\right)\,\left(\frac{b}{2}+\frac{c}{2}+\frac{d}{2}+\frac{\sqrt{b^2-2\,b\,c+2\,b\,d+c^2+2\,c\,d+d^2-4\,a\,d}}{2}\right)\right)}{\sqrt{x^3+\left(-a-b-c\right)\,x^2+\left(a\,b+a\,c+b\,c\right)\,x-a\,b\,c}\,\left(\frac{b}{2}-\frac{c}{2}+\frac{d}{2}+\frac{\sqrt{b^2-2\,b\,c+2\,b\,d+c^2+2\,c\,d+d^2-4\,a\,d}}{2}\right)\,\sqrt{b^2-2\,b\,c+2\,b\,d+c^2+2\,c\,d+d^2-4\,a\,d}}","Not used",1,"(2*(a - c)*ellipticF(asin((-(c - x)/(a - c))^(1/2)), (a - c)/(b - c))*((a - x)/(a - c))^(1/2)*(-(c - x)/(a - c))^(1/2)*((b - x)/(b - c))^(1/2))/(x*(a*b + a*c + b*c) - x^2*(a + b + c) + x^3 - a*b*c)^(1/2) + (2*(a - c)*((a - x)/(a - c))^(1/2)*(-(c - x)/(a - c))^(1/2)*((b - x)/(b - c))^(1/2)*ellipticPi((a - c)/(b/2 - c/2 + d/2 - (2*b*d - 2*b*c - 4*a*d + 2*c*d + b^2 + c^2 + d^2)^(1/2)/2), asin((-(c - x)/(a - c))^(1/2)), (a - c)/(b - c))*(a*b + a*c - a*d - 2*b*c + (b - 2*a + c + d)*(b/2 + c/2 + d/2 - (2*b*d - 2*b*c - 4*a*d + 2*c*d + b^2 + c^2 + d^2)^(1/2)/2)))/((x*(a*b + a*c + b*c) - x^2*(a + b + c) + x^3 - a*b*c)^(1/2)*(b/2 - c/2 + d/2 - (2*b*d - 2*b*c - 4*a*d + 2*c*d + b^2 + c^2 + d^2)^(1/2)/2)*(2*b*d - 2*b*c - 4*a*d + 2*c*d + b^2 + c^2 + d^2)^(1/2)) - (2*(a - c)*((a - x)/(a - c))^(1/2)*(-(c - x)/(a - c))^(1/2)*((b - x)/(b - c))^(1/2)*ellipticPi((a - c)/(b/2 - c/2 + d/2 + (2*b*d - 2*b*c - 4*a*d + 2*c*d + b^2 + c^2 + d^2)^(1/2)/2), asin((-(c - x)/(a - c))^(1/2)), (a - c)/(b - c))*(a*b + a*c - a*d - 2*b*c + (b - 2*a + c + d)*(b/2 + c/2 + d/2 + (2*b*d - 2*b*c - 4*a*d + 2*c*d + b^2 + c^2 + d^2)^(1/2)/2)))/((x*(a*b + a*c + b*c) - x^2*(a + b + c) + x^3 - a*b*c)^(1/2)*(b/2 - c/2 + d/2 + (2*b*d - 2*b*c - 4*a*d + 2*c*d + b^2 + c^2 + d^2)^(1/2)/2)*(2*b*d - 2*b*c - 4*a*d + 2*c*d + b^2 + c^2 + d^2)^(1/2))","B"
776,1,690,60,0.792152,"\text{Not used}","int((a*b + a*c - b*c - 2*a*x + x^2)/((-(a - x)*(b - x)*(c - x))^(1/2)*(a - x*(b*d + c*d + 1) + d*x^2 + b*c*d)),x)","\frac{2\,\left(a-c\right)\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{-\frac{c-x}{a-c}}\right)\middle|\frac{a-c}{b-c}\right)\,\sqrt{\frac{a-x}{a-c}}\,\sqrt{-\frac{c-x}{a-c}}\,\sqrt{\frac{b-x}{b-c}}}{d\,\sqrt{x^3+\left(-a-b-c\right)\,x^2+\left(a\,b+a\,c+b\,c\right)\,x-a\,b\,c}}+\frac{\left(a-c\right)\,\sqrt{\frac{a-x}{a-c}}\,\sqrt{-\frac{c-x}{a-c}}\,\sqrt{\frac{b-x}{b-c}}\,\Pi \left(-\frac{a-c}{c-\frac{b\,d+c\,d+\sqrt{b^2\,d^2-2\,b\,c\,d^2+2\,b\,d+c^2\,d^2+2\,c\,d-4\,a\,d+1}+1}{2\,d}};\mathrm{asin}\left(\sqrt{-\frac{c-x}{a-c}}\right)\middle|\frac{a-c}{b-c}\right)\,\left(b\,d-2\,a\,d+c\,d+\sqrt{b^2\,d^2-2\,b\,c\,d^2+2\,b\,d+c^2\,d^2+2\,c\,d-4\,a\,d+1}+1\right)}{d^2\,\left(c-\frac{b\,d+c\,d+\sqrt{b^2\,d^2-2\,b\,c\,d^2+2\,b\,d+c^2\,d^2+2\,c\,d-4\,a\,d+1}+1}{2\,d}\right)\,\sqrt{x^3+\left(-a-b-c\right)\,x^2+\left(a\,b+a\,c+b\,c\right)\,x-a\,b\,c}}+\frac{\left(a-c\right)\,\sqrt{\frac{a-x}{a-c}}\,\sqrt{-\frac{c-x}{a-c}}\,\sqrt{\frac{b-x}{b-c}}\,\Pi \left(-\frac{a-c}{c-\frac{b\,d+c\,d-\sqrt{b^2\,d^2-2\,b\,c\,d^2+2\,b\,d+c^2\,d^2+2\,c\,d-4\,a\,d+1}+1}{2\,d}};\mathrm{asin}\left(\sqrt{-\frac{c-x}{a-c}}\right)\middle|\frac{a-c}{b-c}\right)\,\left(b\,d-2\,a\,d+c\,d-\sqrt{b^2\,d^2-2\,b\,c\,d^2+2\,b\,d+c^2\,d^2+2\,c\,d-4\,a\,d+1}+1\right)}{d^2\,\left(c-\frac{b\,d+c\,d-\sqrt{b^2\,d^2-2\,b\,c\,d^2+2\,b\,d+c^2\,d^2+2\,c\,d-4\,a\,d+1}+1}{2\,d}\right)\,\sqrt{x^3+\left(-a-b-c\right)\,x^2+\left(a\,b+a\,c+b\,c\right)\,x-a\,b\,c}}","Not used",1,"(2*(a - c)*ellipticF(asin((-(c - x)/(a - c))^(1/2)), (a - c)/(b - c))*((a - x)/(a - c))^(1/2)*(-(c - x)/(a - c))^(1/2)*((b - x)/(b - c))^(1/2))/(d*(x*(a*b + a*c + b*c) - x^2*(a + b + c) + x^3 - a*b*c)^(1/2)) + ((a - c)*((a - x)/(a - c))^(1/2)*(-(c - x)/(a - c))^(1/2)*((b - x)/(b - c))^(1/2)*ellipticPi(-(a - c)/(c - (b*d + c*d + (2*b*d - 4*a*d + 2*c*d + b^2*d^2 + c^2*d^2 - 2*b*c*d^2 + 1)^(1/2) + 1)/(2*d)), asin((-(c - x)/(a - c))^(1/2)), (a - c)/(b - c))*(b*d - 2*a*d + c*d + (2*b*d - 4*a*d + 2*c*d + b^2*d^2 + c^2*d^2 - 2*b*c*d^2 + 1)^(1/2) + 1))/(d^2*(c - (b*d + c*d + (2*b*d - 4*a*d + 2*c*d + b^2*d^2 + c^2*d^2 - 2*b*c*d^2 + 1)^(1/2) + 1)/(2*d))*(x*(a*b + a*c + b*c) - x^2*(a + b + c) + x^3 - a*b*c)^(1/2)) + ((a - c)*((a - x)/(a - c))^(1/2)*(-(c - x)/(a - c))^(1/2)*((b - x)/(b - c))^(1/2)*ellipticPi(-(a - c)/(c - (b*d + c*d - (2*b*d - 4*a*d + 2*c*d + b^2*d^2 + c^2*d^2 - 2*b*c*d^2 + 1)^(1/2) + 1)/(2*d)), asin((-(c - x)/(a - c))^(1/2)), (a - c)/(b - c))*(b*d - 2*a*d + c*d - (2*b*d - 4*a*d + 2*c*d + b^2*d^2 + c^2*d^2 - 2*b*c*d^2 + 1)^(1/2) + 1))/(d^2*(c - (b*d + c*d - (2*b*d - 4*a*d + 2*c*d + b^2*d^2 + c^2*d^2 - 2*b*c*d^2 + 1)^(1/2) + 1)/(2*d))*(x*(a*b + a*c + b*c) - x^2*(a + b + c) + x^3 - a*b*c)^(1/2))","B"
777,1,64,60,2.760569,"\text{Not used}","int((k^2*x^2 - 1)/((k^2*x^2 + 1)*(x*(k^2*x - 1)*(x - 1))^(1/2)),x)","\frac{\ln\left(\frac{k^2\,x^2-2\,x\,\left(k^2+1\right)+1+\sqrt{k^2+1}\,\sqrt{x\,\left(k^2\,x-1\right)\,\left(x-1\right)}\,2{}\mathrm{i}}{k^2\,x^2+1}\right)\,1{}\mathrm{i}}{\sqrt{k^2+1}}","Not used",1,"(log((k^2*x^2 - 2*x*(k^2 + 1) + (k^2 + 1)^(1/2)*(x*(k^2*x - 1)*(x - 1))^(1/2)*2i + 1)/(k^2*x^2 + 1))*1i)/(k^2 + 1)^(1/2)","B"
778,1,946,60,1.734930,"\text{Not used}","int(-(a*(a*b + a*c - 3*b*c) + x*(a*b + a*c + 3*b*c - 2*a^2) + x^3 - x^2*(2*b - a + 2*c))/((-(a - x)*(b - x)*(c - x))^(1/2)*(x^2*(3*a + d) - x*(b*d + c*d + 3*a^2) + a^3 - x^3 + b*c*d)),x)","\left(\sum _{k=1}^3\left(-\frac{2\,\left(a-c\right)\,\sqrt{\frac{a-x}{a-c}}\,\sqrt{-\frac{c-x}{a-c}}\,\sqrt{\frac{b-x}{b-c}}\,\Pi \left(\frac{a-c}{\mathrm{root}\left(z^3-z^2\,\left(3\,a+d\right)+z\,\left(b\,d+c\,d+3\,a^2\right)-b\,c\,d-a^3,z,k\right)-c};\mathrm{asin}\left(\sqrt{-\frac{c-x}{a-c}}\right)\middle|\frac{a-c}{b-c}\right)\,\left(a^2\,b+a^2\,c+4\,a\,{\mathrm{root}\left(z^3-z^2\,\left(3\,a+d\right)+z\,\left(b\,d+c\,d+3\,a^2\right)-b\,c\,d-a^3,z,k\right)}^2-5\,a^2\,\mathrm{root}\left(z^3-z^2\,\left(3\,a+d\right)+z\,\left(b\,d+c\,d+3\,a^2\right)-b\,c\,d-a^3,z,k\right)-2\,b\,{\mathrm{root}\left(z^3-z^2\,\left(3\,a+d\right)+z\,\left(b\,d+c\,d+3\,a^2\right)-b\,c\,d-a^3,z,k\right)}^2-2\,c\,{\mathrm{root}\left(z^3-z^2\,\left(3\,a+d\right)+z\,\left(b\,d+c\,d+3\,a^2\right)-b\,c\,d-a^3,z,k\right)}^2+d\,{\mathrm{root}\left(z^3-z^2\,\left(3\,a+d\right)+z\,\left(b\,d+c\,d+3\,a^2\right)-b\,c\,d-a^3,z,k\right)}^2+a^3-3\,a\,b\,c+b\,c\,d+a\,b\,\mathrm{root}\left(z^3-z^2\,\left(3\,a+d\right)+z\,\left(b\,d+c\,d+3\,a^2\right)-b\,c\,d-a^3,z,k\right)+a\,c\,\mathrm{root}\left(z^3-z^2\,\left(3\,a+d\right)+z\,\left(b\,d+c\,d+3\,a^2\right)-b\,c\,d-a^3,z,k\right)+3\,b\,c\,\mathrm{root}\left(z^3-z^2\,\left(3\,a+d\right)+z\,\left(b\,d+c\,d+3\,a^2\right)-b\,c\,d-a^3,z,k\right)-b\,d\,\mathrm{root}\left(z^3-z^2\,\left(3\,a+d\right)+z\,\left(b\,d+c\,d+3\,a^2\right)-b\,c\,d-a^3,z,k\right)-c\,d\,\mathrm{root}\left(z^3-z^2\,\left(3\,a+d\right)+z\,\left(b\,d+c\,d+3\,a^2\right)-b\,c\,d-a^3,z,k\right)\right)}{\left(\mathrm{root}\left(z^3-z^2\,\left(3\,a+d\right)+z\,\left(b\,d+c\,d+3\,a^2\right)-b\,c\,d-a^3,z,k\right)-c\right)\,\sqrt{-\left(a-x\right)\,\left(b-x\right)\,\left(c-x\right)}\,\left(3\,a^2-6\,a\,\mathrm{root}\left(z^3-z^2\,\left(3\,a+d\right)+z\,\left(b\,d+c\,d+3\,a^2\right)-b\,c\,d-a^3,z,k\right)+3\,{\mathrm{root}\left(z^3-z^2\,\left(3\,a+d\right)+z\,\left(b\,d+c\,d+3\,a^2\right)-b\,c\,d-a^3,z,k\right)}^2-2\,d\,\mathrm{root}\left(z^3-z^2\,\left(3\,a+d\right)+z\,\left(b\,d+c\,d+3\,a^2\right)-b\,c\,d-a^3,z,k\right)+b\,d+c\,d\right)}\right)\right)+\frac{2\,\left(a-c\right)\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{-\frac{c-x}{a-c}}\right)\middle|\frac{a-c}{b-c}\right)\,\sqrt{\frac{a-x}{a-c}}\,\sqrt{-\frac{c-x}{a-c}}\,\sqrt{\frac{b-x}{b-c}}}{\sqrt{x^3+\left(-a-b-c\right)\,x^2+\left(a\,b+a\,c+b\,c\right)\,x-a\,b\,c}}","Not used",1,"symsum(-(2*(a - c)*((a - x)/(a - c))^(1/2)*(-(c - x)/(a - c))^(1/2)*((b - x)/(b - c))^(1/2)*ellipticPi((a - c)/(root(z^3 - z^2*(3*a + d) + z*(b*d + c*d + 3*a^2) - b*c*d - a^3, z, k) - c), asin((-(c - x)/(a - c))^(1/2)), (a - c)/(b - c))*(a^2*b + a^2*c + 4*a*root(z^3 - z^2*(3*a + d) + z*(b*d + c*d + 3*a^2) - b*c*d - a^3, z, k)^2 - 5*a^2*root(z^3 - z^2*(3*a + d) + z*(b*d + c*d + 3*a^2) - b*c*d - a^3, z, k) - 2*b*root(z^3 - z^2*(3*a + d) + z*(b*d + c*d + 3*a^2) - b*c*d - a^3, z, k)^2 - 2*c*root(z^3 - z^2*(3*a + d) + z*(b*d + c*d + 3*a^2) - b*c*d - a^3, z, k)^2 + d*root(z^3 - z^2*(3*a + d) + z*(b*d + c*d + 3*a^2) - b*c*d - a^3, z, k)^2 + a^3 - 3*a*b*c + b*c*d + a*b*root(z^3 - z^2*(3*a + d) + z*(b*d + c*d + 3*a^2) - b*c*d - a^3, z, k) + a*c*root(z^3 - z^2*(3*a + d) + z*(b*d + c*d + 3*a^2) - b*c*d - a^3, z, k) + 3*b*c*root(z^3 - z^2*(3*a + d) + z*(b*d + c*d + 3*a^2) - b*c*d - a^3, z, k) - b*d*root(z^3 - z^2*(3*a + d) + z*(b*d + c*d + 3*a^2) - b*c*d - a^3, z, k) - c*d*root(z^3 - z^2*(3*a + d) + z*(b*d + c*d + 3*a^2) - b*c*d - a^3, z, k)))/((root(z^3 - z^2*(3*a + d) + z*(b*d + c*d + 3*a^2) - b*c*d - a^3, z, k) - c)*(-(a - x)*(b - x)*(c - x))^(1/2)*(b*d + c*d - 6*a*root(z^3 - z^2*(3*a + d) + z*(b*d + c*d + 3*a^2) - b*c*d - a^3, z, k) - 2*d*root(z^3 - z^2*(3*a + d) + z*(b*d + c*d + 3*a^2) - b*c*d - a^3, z, k) + 3*a^2 + 3*root(z^3 - z^2*(3*a + d) + z*(b*d + c*d + 3*a^2) - b*c*d - a^3, z, k)^2)), k, 1, 3) + (2*(a - c)*ellipticF(asin((-(c - x)/(a - c))^(1/2)), (a - c)/(b - c))*((a - x)/(a - c))^(1/2)*(-(c - x)/(a - c))^(1/2)*((b - x)/(b - c))^(1/2))/(x*(a*b + a*c + b*c) - x^2*(a + b + c) + x^3 - a*b*c)^(1/2)","B"
779,1,79,60,1.473096,"\text{Not used}","int(-((2*c - a*x^3)*(c + a*x^3 + b*x^2)^(1/2))/(c + a*x^3)^2,x)","\frac{\ln\left(\frac{c+a\,x^3+2\,b\,x^2-2\,\sqrt{b}\,x\,\sqrt{a\,x^3+b\,x^2+c}}{c^2+a\,c\,x^3}\right)}{2\,\sqrt{b}}-\frac{x\,\sqrt{a\,x^3+b\,x^2+c}}{a\,x^3+c}","Not used",1,"log((c + a*x^3 + 2*b*x^2 - 2*b^(1/2)*x*(c + a*x^3 + b*x^2)^(1/2))/(c^2 + a*c*x^3))/(2*b^(1/2)) - (x*(c + a*x^3 + b*x^2)^(1/2))/(c + a*x^3)","B"
780,1,78,60,3.280814,"\text{Not used}","int(-(b - a^2*x^2)/((b*x + a^2*x^3)^(1/2)*(b + a^2*x^2 + 2*a*b*x)),x)","\frac{\sqrt{2}\,\ln\left(\frac{\frac{\sqrt{2}\,b}{4}+\frac{\sqrt{2}\,a^2\,x^2}{4}-\frac{\sqrt{2}\,a\,b\,x}{2}+\sqrt{a}\,\sqrt{b}\,\sqrt{a^2\,x^3+b\,x}\,1{}\mathrm{i}}{a^2\,x^2+2\,b\,a\,x+b}\right)\,1{}\mathrm{i}}{2\,\sqrt{a}\,\sqrt{b}}","Not used",1,"(2^(1/2)*log(((2^(1/2)*b)/4 + (2^(1/2)*a^2*x^2)/4 + a^(1/2)*b^(1/2)*(b*x + a^2*x^3)^(1/2)*1i - (2^(1/2)*a*b*x)/2)/(b + a^2*x^2 + 2*a*b*x))*1i)/(2*a^(1/2)*b^(1/2))","B"
781,1,569,60,19.257727,"\text{Not used}","int(-(a*(a*b + a*c - 3*b*c) + x*(a*b + a*c + 3*b*c - 2*a^2) + x^3 - x^2*(2*b - a + 2*c))/((-(a - x)*(b - x)*(c - x))^(1/2)*(b*c - x*(b + c + 3*a^2*d) + a^3*d - d*x^3 + x^2*(3*a*d + 1))),x)","\frac{\ln\left(\frac{\left(a-b-c+x+a^2\,d+d\,x^2-2\,\sqrt{d}\,\sqrt{-\left(a-x\right)\,\left(b-x\right)\,\left(c-x\right)}-2\,a\,d\,x\right)\,\left(b\,c^2+b^2\,c+a^4\,d-a\,x^2+2\,b\,x^2-b^2\,x+2\,c\,x^2-c^2\,x+2\,d\,x^4-x^3+a^5\,d^2-d^2\,x^5+3\,a^2\,d\,x^2+5\,a\,d^2\,x^4-5\,a^4\,d^2\,x-2\,a^2\,\sqrt{d}\,\sqrt{-\left(a-x\right)\,\left(b-x\right)\,\left(c-x\right)}-a\,b\,c+a\,b\,x+a\,c\,x-3\,b\,c\,x-10\,a^2\,d^2\,x^3+10\,a^3\,d^2\,x^2-a^3\,b\,d-a^3\,c\,d-4\,a\,d\,x^3-2\,a^3\,d\,x-2\,b\,d\,x^3-2\,c\,d\,x^3+3\,a^2\,b\,c\,d+3\,a\,b\,d\,x^2+3\,a\,c\,d\,x^2+3\,b\,c\,d\,x^2+2\,a\,b\,\sqrt{d}\,\sqrt{-\left(a-x\right)\,\left(b-x\right)\,\left(c-x\right)}+2\,a\,c\,\sqrt{d}\,\sqrt{-\left(a-x\right)\,\left(b-x\right)\,\left(c-x\right)}-2\,b\,c\,\sqrt{d}\,\sqrt{-\left(a-x\right)\,\left(b-x\right)\,\left(c-x\right)}-6\,a\,b\,c\,d\,x\right)}{\left(b\,c-b\,x-c\,x+a^3\,d-d\,x^3+x^2+3\,a\,d\,x^2-3\,a^2\,d\,x\right)\,\left(a^4\,d^2-4\,a^3\,d^2\,x+2\,a^3\,d-2\,a^2\,b\,d-2\,a^2\,c\,d+6\,a^2\,d^2\,x^2-2\,a^2\,d\,x+a^2+4\,a\,b\,c\,d-2\,a\,b-2\,a\,c-4\,a\,d^2\,x^3+2\,a\,d\,x^2+2\,a\,x+b^2-4\,b\,c\,d\,x+2\,b\,c+2\,b\,d\,x^2-2\,b\,x+c^2+2\,c\,d\,x^2-2\,c\,x+d^2\,x^4-2\,d\,x^3+x^2\right)}\right)}{\sqrt{d}}","Not used",1,"log(((a - b - c + x + a^2*d + d*x^2 - 2*d^(1/2)*(-(a - x)*(b - x)*(c - x))^(1/2) - 2*a*d*x)*(b*c^2 + b^2*c + a^4*d - a*x^2 + 2*b*x^2 - b^2*x + 2*c*x^2 - c^2*x + 2*d*x^4 - x^3 + a^5*d^2 - d^2*x^5 + 3*a^2*d*x^2 + 5*a*d^2*x^4 - 5*a^4*d^2*x - 2*a^2*d^(1/2)*(-(a - x)*(b - x)*(c - x))^(1/2) - a*b*c + a*b*x + a*c*x - 3*b*c*x - 10*a^2*d^2*x^3 + 10*a^3*d^2*x^2 - a^3*b*d - a^3*c*d - 4*a*d*x^3 - 2*a^3*d*x - 2*b*d*x^3 - 2*c*d*x^3 + 3*a^2*b*c*d + 3*a*b*d*x^2 + 3*a*c*d*x^2 + 3*b*c*d*x^2 + 2*a*b*d^(1/2)*(-(a - x)*(b - x)*(c - x))^(1/2) + 2*a*c*d^(1/2)*(-(a - x)*(b - x)*(c - x))^(1/2) - 2*b*c*d^(1/2)*(-(a - x)*(b - x)*(c - x))^(1/2) - 6*a*b*c*d*x))/((b*c - b*x - c*x + a^3*d - d*x^3 + x^2 + 3*a*d*x^2 - 3*a^2*d*x)*(2*b*c - 2*a*c - 2*a*b + 2*a*x - 2*b*x - 2*c*x + 2*a^3*d - 2*d*x^3 + a^2 + b^2 + c^2 + x^2 + a^4*d^2 + d^2*x^4 - 4*a*d^2*x^3 - 4*a^3*d^2*x + 6*a^2*d^2*x^2 - 2*a^2*b*d - 2*a^2*c*d + 2*a*d*x^2 - 2*a^2*d*x + 2*b*d*x^2 + 2*c*d*x^2 - 4*b*c*d*x + 4*a*b*c*d)))/d^(1/2)","B"
782,1,45,60,0.966128,"\text{Not used}","int(((x^2 - 1)*(x^4 + 1)^(1/2))/x^5,x)","\frac{\mathrm{asinh}\left(x^2\right)}{2}-\frac{\sqrt{x^4+1}}{2\,x^2}+\frac{\sqrt{x^4+1}}{4\,x^4}-\frac{\mathrm{atan}\left(\sqrt{x^4+1}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{4}","Not used",1,"asinh(x^2)/2 - (atan((x^4 + 1)^(1/2)*1i)*1i)/4 - (x^4 + 1)^(1/2)/(2*x^2) + (x^4 + 1)^(1/2)/(4*x^4)","B"
783,1,42,60,1.023719,"\text{Not used}","int(((x^2 - 1)*(x^4 + 1)^(1/2))/x^3,x)","\frac{\sqrt{x^4+1}}{2}-\frac{\mathrm{asinh}\left(x^2\right)}{2}+\frac{\sqrt{x^4+1}}{2\,x^2}+\frac{\mathrm{atan}\left(\sqrt{x^4+1}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}","Not used",1,"(atan((x^4 + 1)^(1/2)*1i)*1i)/2 - asinh(x^2)/2 + (x^4 + 1)^(1/2)/2 + (x^4 + 1)^(1/2)/(2*x^2)","B"
784,0,-1,60,0.000000,"\text{Not used}","int(((x^6 - 1)^(1/2)*(2*x^3 + 1))/x^7,x)","\int \frac{\sqrt{x^6-1}\,\left(2\,x^3+1\right)}{x^7} \,d x","Not used",1,"int(((x^6 - 1)^(1/2)*(2*x^3 + 1))/x^7, x)","F"
785,0,-1,60,0.000000,"\text{Not used}","int(((x^6 - 1)^(1/2)*(2*x^3 + 1))/x^4,x)","\int \frac{\sqrt{x^6-1}\,\left(2\,x^3+1\right)}{x^4} \,d x","Not used",1,"int(((x^6 - 1)^(1/2)*(2*x^3 + 1))/x^4, x)","F"
786,0,-1,60,0.000000,"\text{Not used}","int((b^6 + a^6*x^6)/((a^2*x^3 - b^2*x)^(1/2)*(c*x^3 - b^6 + a^6*x^6)),x)","\int \frac{a^6\,x^6+b^6}{\sqrt{a^2\,x^3-b^2\,x}\,\left(a^6\,x^6-b^6+c\,x^3\right)} \,d x","Not used",1,"int((b^6 + a^6*x^6)/((a^2*x^3 - b^2*x)^(1/2)*(c*x^3 - b^6 + a^6*x^6)), x)","F"
787,0,-1,60,0.000000,"\text{Not used}","int((b^6 + a^6*x^6)/((a^2*x^3 - b^2*x)^(1/2)*(c*x^3 - b^6 + a^6*x^6)),x)","\int \frac{a^6\,x^6+b^6}{\sqrt{a^2\,x^3-b^2\,x}\,\left(a^6\,x^6-b^6+c\,x^3\right)} \,d x","Not used",1,"int((b^6 + a^6*x^6)/((a^2*x^3 - b^2*x)^(1/2)*(c*x^3 - b^6 + a^6*x^6)), x)","F"
788,1,217,60,4.756551,"\text{Not used}","int((x - 3*x^5)/((x + x^5)^(1/2)*(2*x^4 - a*x^2 + x^8 + 1)),x)","\frac{\ln\left(\frac{512\,\sqrt{x^5+x}\,{\left(a^3\right)}^{7/4}+256\,a^5-27\,a^7+256\,a^5\,x^4-27\,x\,{\left(a^3\right)}^{5/2}-27\,a^7\,x^4-54\,a^5\,\sqrt{x^5+x}\,{\left(a^3\right)}^{3/4}+256\,a^4\,x\,\sqrt{a^3}}{a+a\,x^4-x\,\sqrt{a^3}}\right)}{2\,{\left(a^3\right)}^{1/4}}+\frac{\ln\left(\frac{54\,a^6\,\sqrt{x^5+x}\,{\left(a^3\right)}^{3/4}-512\,a\,\sqrt{x^5+x}\,{\left(a^3\right)}^{7/4}+a^6\,256{}\mathrm{i}-a^8\,27{}\mathrm{i}+a^6\,x^4\,256{}\mathrm{i}-a^8\,x^4\,27{}\mathrm{i}-a^5\,x\,\sqrt{a^3}\,256{}\mathrm{i}+a^7\,x\,\sqrt{a^3}\,27{}\mathrm{i}}{a+a\,x^4+x\,\sqrt{a^3}}\right)\,1{}\mathrm{i}}{2\,{\left(a^3\right)}^{1/4}}","Not used",1,"log((512*(x + x^5)^(1/2)*(a^3)^(7/4) + 256*a^5 - 27*a^7 + 256*a^5*x^4 - 27*x*(a^3)^(5/2) - 27*a^7*x^4 - 54*a^5*(x + x^5)^(1/2)*(a^3)^(3/4) + 256*a^4*x*(a^3)^(1/2))/(a + a*x^4 - x*(a^3)^(1/2)))/(2*(a^3)^(1/4)) + (log((a^6*256i - a^8*27i + a^6*x^4*256i - a^8*x^4*27i + 54*a^6*(x + x^5)^(1/2)*(a^3)^(3/4) - a^5*x*(a^3)^(1/2)*256i + a^7*x*(a^3)^(1/2)*27i - 512*a*(x + x^5)^(1/2)*(a^3)^(7/4))/(a + a*x^4 + x*(a^3)^(1/2)))*1i)/(2*(a^3)^(1/4))","B"
789,0,-1,60,0.000000,"\text{Not used}","int(-((1 - 2*x^8)^(3/2)*(2*x^8 + 1))/(x^7*(x^4 + 2*x^8 - 1)),x)","\int -\frac{{\left(1-2\,x^8\right)}^{3/2}\,\left(2\,x^8+1\right)}{x^7\,\left(2\,x^8+x^4-1\right)} \,d x","Not used",1,"int(-((1 - 2*x^8)^(3/2)*(2*x^8 + 1))/(x^7*(x^4 + 2*x^8 - 1)), x)","F"
790,1,98,60,3.426644,"\text{Not used}","int(-(x - 3*x^5)/((x + x^5)^(1/2)*(a + 2*a*x^4 + a*x^8 - x^2)),x)","\frac{\ln\left(\frac{x-2\,a^{1/4}\,\sqrt{x^5+x}+\sqrt{a}+\sqrt{a}\,x^4}{\sqrt{a}-x+\sqrt{a}\,x^4}\right)}{2\,a^{1/4}}+\frac{\ln\left(\frac{x-\sqrt{a}-\sqrt{a}\,x^4+a^{1/4}\,\sqrt{x^5+x}\,2{}\mathrm{i}}{x+\sqrt{a}+\sqrt{a}\,x^4}\right)\,1{}\mathrm{i}}{2\,a^{1/4}}","Not used",1,"log((x - 2*a^(1/4)*(x + x^5)^(1/2) + a^(1/2) + a^(1/2)*x^4)/(a^(1/2) - x + a^(1/2)*x^4))/(2*a^(1/4)) + (log((x + a^(1/4)*(x + x^5)^(1/2)*2i - a^(1/2) - a^(1/2)*x^4)/(x + a^(1/2) + a^(1/2)*x^4))*1i)/(2*a^(1/4))","B"
791,0,-1,60,0.000000,"\text{Not used}","int((x^5*(7*b + 9*a*x^2))/((a*x^5 + b*x^3)^(1/4)*(a*x^9 + b*x^7 - 2)),x)","\int \frac{x^5\,\left(9\,a\,x^2+7\,b\right)}{{\left(a\,x^5+b\,x^3\right)}^{1/4}\,\left(a\,x^9+b\,x^7-2\right)} \,d x","Not used",1,"int((x^5*(7*b + 9*a*x^2))/((a*x^5 + b*x^3)^(1/4)*(a*x^9 + b*x^7 - 2)), x)","F"
792,0,-1,60,0.000000,"\text{Not used}","int(x^2/((x^2 + 1)*(47250*x^2 - 5265*x - 225810*x^3 + 615255*x^4 - 954733*x^5 + 820340*x^6 - 401440*x^7 + 112000*x^8 - 16640*x^9 + 1024*x^10 + 243)^(1/5)),x)","\int \frac{x^2}{\left(x^2+1\right)\,{\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)}^{1/5}} \,d x","Not used",1,"int(x^2/((x^2 + 1)*(47250*x^2 - 5265*x - 225810*x^3 + 615255*x^4 - 954733*x^5 + 820340*x^6 - 401440*x^7 + 112000*x^8 - 16640*x^9 + 1024*x^10 + 243)^(1/5)), x)","F"
793,0,-1,61,0.000000,"\text{Not used}","int((x^2 - 2*x + 1)^(1/3)/(x^2 + 2),x)","\int \frac{{\left(x^2-2\,x+1\right)}^{1/3}}{x^2+2} \,d x","Not used",1,"int((x^2 - 2*x + 1)^(1/3)/(x^2 + 2), x)","F"
794,0,-1,61,0.000000,"\text{Not used}","int((2*x + x^2 + 1)^(1/3)/(x^2 + 3),x)","\int \frac{{\left(x^2+2\,x+1\right)}^{1/3}}{x^2+3} \,d x","Not used",1,"int((2*x + x^2 + 1)^(1/3)/(x^2 + 3), x)","F"
795,0,-1,61,0.000000,"\text{Not used}","int(1/((x + x^3)^(1/4)*(x - 1)),x)","\int \frac{1}{{\left(x^3+x\right)}^{1/4}\,\left(x-1\right)} \,d x","Not used",1,"int(1/((x + x^3)^(1/4)*(x - 1)), x)","F"
796,1,234,61,0.592912,"\text{Not used}","int((x^4 - 1)/((x^4 + 1)*(x + x^3)^(1/2)),x)","-\frac{\sqrt{1-x\,1{}\mathrm{i}}\,\sqrt{1+x\,1{}\mathrm{i}}\,\sqrt{-x\,1{}\mathrm{i}}\,\Pi \left(\sqrt{2}\,\left(-\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right);\mathrm{asin}\left(\sqrt{-x\,1{}\mathrm{i}}\right)\middle|-1\right)\,1{}\mathrm{i}}{\sqrt{x^3+x}}-\frac{\sqrt{1-x\,1{}\mathrm{i}}\,\sqrt{1+x\,1{}\mathrm{i}}\,\sqrt{-x\,1{}\mathrm{i}}\,\Pi \left(\sqrt{2}\,\left(-\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right);\mathrm{asin}\left(\sqrt{-x\,1{}\mathrm{i}}\right)\middle|-1\right)\,1{}\mathrm{i}}{\sqrt{x^3+x}}-\frac{\sqrt{1-x\,1{}\mathrm{i}}\,\sqrt{1+x\,1{}\mathrm{i}}\,\sqrt{-x\,1{}\mathrm{i}}\,\Pi \left(\sqrt{2}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right);\mathrm{asin}\left(\sqrt{-x\,1{}\mathrm{i}}\right)\middle|-1\right)\,1{}\mathrm{i}}{\sqrt{x^3+x}}-\frac{\sqrt{1-x\,1{}\mathrm{i}}\,\sqrt{1+x\,1{}\mathrm{i}}\,\sqrt{-x\,1{}\mathrm{i}}\,\Pi \left(\sqrt{2}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right);\mathrm{asin}\left(\sqrt{-x\,1{}\mathrm{i}}\right)\middle|-1\right)\,1{}\mathrm{i}}{\sqrt{x^3+x}}+\frac{\sqrt{1-x\,1{}\mathrm{i}}\,\sqrt{1+x\,1{}\mathrm{i}}\,\sqrt{-x\,1{}\mathrm{i}}\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{-x\,1{}\mathrm{i}}\right)\middle|-1\right)\,2{}\mathrm{i}}{\sqrt{x^3+x}}","Not used",1,"((1 - x*1i)^(1/2)*(x*1i + 1)^(1/2)*(-x*1i)^(1/2)*ellipticF(asin((-x*1i)^(1/2)), -1)*2i)/(x + x^3)^(1/2) - ((1 - x*1i)^(1/2)*(x*1i + 1)^(1/2)*(-x*1i)^(1/2)*ellipticPi(2^(1/2)*(- 1/2 + 1i/2), asin((-x*1i)^(1/2)), -1)*1i)/(x + x^3)^(1/2) - ((1 - x*1i)^(1/2)*(x*1i + 1)^(1/2)*(-x*1i)^(1/2)*ellipticPi(2^(1/2)*(1/2 - 1i/2), asin((-x*1i)^(1/2)), -1)*1i)/(x + x^3)^(1/2) - ((1 - x*1i)^(1/2)*(x*1i + 1)^(1/2)*(-x*1i)^(1/2)*ellipticPi(2^(1/2)*(1/2 + 1i/2), asin((-x*1i)^(1/2)), -1)*1i)/(x + x^3)^(1/2) - ((1 - x*1i)^(1/2)*(x*1i + 1)^(1/2)*(-x*1i)^(1/2)*ellipticPi(2^(1/2)*(- 1/2 - 1i/2), asin((-x*1i)^(1/2)), -1)*1i)/(x + x^3)^(1/2)","B"
797,0,-1,61,0.000000,"\text{Not used}","int((x^3 + 1)/((x^3 - 1)*(x^4 + 1)^(1/2)),x)","\int \frac{x^3+1}{\left(x^3-1\right)\,\sqrt{x^4+1}} \,d x","Not used",1,"int((x^3 + 1)/((x^3 - 1)*(x^4 + 1)^(1/2)), x)","F"
798,1,33,61,0.772247,"\text{Not used}","int((x - 1)/(x*(x^4 + 1)^(1/4)),x)","\frac{\mathrm{atanh}\left({\left(x^4+1\right)}^{1/4}\right)}{2}-\frac{\mathrm{atan}\left({\left(x^4+1\right)}^{1/4}\right)}{2}+x\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{1}{4};\ \frac{5}{4};\ -x^4\right)","Not used",1,"atanh((x^4 + 1)^(1/4))/2 - atan((x^4 + 1)^(1/4))/2 + x*hypergeom([1/4, 1/4], 5/4, -x^4)","B"
799,0,-1,61,0.000000,"\text{Not used}","int(x^2/(a*x^4 - b)^(3/4),x)","\int \frac{x^2}{{\left(a\,x^4-b\right)}^{3/4}} \,d x","Not used",1,"int(x^2/(a*x^4 - b)^(3/4), x)","F"
800,1,81,61,3.442919,"\text{Not used}","int(-((x^4 + 6)*(x^4 - 2*x + x^5)^(1/2))/((x^4 - 2)*(x^3 - x^4 + 2)),x)","\ln\left(\frac{2\,x\,\sqrt{x\,\left(x^4+x^3-2\right)}+2\,x^3+x^4-2}{x^4-2}\right)+\sqrt{2}\,\ln\left(\frac{3\,x^3+x^4-2\,\sqrt{2}\,x\,\sqrt{x\,\left(x^4+x^3-2\right)}-2}{-x^4+x^3+2}\right)","Not used",1,"log((2*x*(x*(x^3 + x^4 - 2))^(1/2) + 2*x^3 + x^4 - 2)/(x^4 - 2)) + 2^(1/2)*log((3*x^3 + x^4 - 2*2^(1/2)*x*(x*(x^3 + x^4 - 2))^(1/2) - 2)/(x^3 - x^4 + 2))","B"
801,0,-1,61,0.000000,"\text{Not used}","int(((x^2 - 3)*(x^3 - x^2 + 1)^(2/3))/(x^4 - x^3 - 2*x^2 + x^5 + x^6 + 1),x)","\int \frac{\left(x^2-3\right)\,{\left(x^3-x^2+1\right)}^{2/3}}{x^6+x^5+x^4-x^3-2\,x^2+1} \,d x","Not used",1,"int(((x^2 - 3)*(x^3 - x^2 + 1)^(2/3))/(x^4 - x^3 - 2*x^2 + x^5 + x^6 + 1), x)","F"
802,0,-1,61,0.000000,"\text{Not used}","int(((x^2 - 3)*(x^3 - x^2 + 1)^(2/3))/(x^4 - x^3 - 2*x^2 + x^5 + x^6 + 1),x)","\int \frac{\left(x^2-3\right)\,{\left(x^3-x^2+1\right)}^{2/3}}{x^6+x^5+x^4-x^3-2\,x^2+1} \,d x","Not used",1,"int(((x^2 - 3)*(x^3 - x^2 + 1)^(2/3))/(x^4 - x^3 - 2*x^2 + x^5 + x^6 + 1), x)","F"
803,1,47,61,0.782764,"\text{Not used}","int(((x^6 - 1)^(1/2)*(2*x^6 - 1)^2)/(x*(4*x^6 - 1)),x)","\frac{\mathrm{atan}\left(\sqrt{x^6-1}\right)}{3}-\frac{\sqrt{3}\,\mathrm{atan}\left(\frac{2\,\sqrt{3}\,\sqrt{x^6-1}}{3}\right)}{24}-\frac{\sqrt{x^6-1}}{4}+\frac{{\left(x^6-1\right)}^{3/2}}{9}","Not used",1,"atan((x^6 - 1)^(1/2))/3 - (3^(1/2)*atan((2*3^(1/2)*(x^6 - 1)^(1/2))/3))/24 - (x^6 - 1)^(1/2)/4 + (x^6 - 1)^(3/2)/9","B"
804,0,-1,61,0.000000,"\text{Not used}","int(1/((b + a*x^6)*(x + x^3)^(1/3)),x)","\int \frac{1}{\left(a\,x^6+b\right)\,{\left(x^3+x\right)}^{1/3}} \,d x","Not used",1,"int(1/((b + a*x^6)*(x + x^3)^(1/3)), x)","F"
805,0,-1,61,0.000000,"\text{Not used}","int(1/((b + a*x^6)*(x + x^3)^(1/3)),x)","\int \frac{1}{\left(a\,x^6+b\right)\,{\left(x^3+x\right)}^{1/3}} \,d x","Not used",1,"int(1/((b + a*x^6)*(x + x^3)^(1/3)), x)","F"
806,0,-1,61,0.000000,"\text{Not used}","int(-(b - a*x^4)/((a*x^6 + b*x^2)^(1/4)*(b + a*x^4 - 2*x^2)),x)","\int -\frac{b-a\,x^4}{{\left(a\,x^6+b\,x^2\right)}^{1/4}\,\left(a\,x^4-2\,x^2+b\right)} \,d x","Not used",1,"int(-(b - a*x^4)/((a*x^6 + b*x^2)^(1/4)*(b + a*x^4 - 2*x^2)), x)","F"
807,0,-1,61,0.000000,"\text{Not used}","int(((x^5 + 4)*(x^8 - 2*x^5 + x^10 + 1)^(1/2))/x^9,x)","\int \frac{\left(x^5+4\right)\,\sqrt{x^{10}+x^8-2\,x^5+1}}{x^9} \,d x","Not used",1,"int(((x^5 + 4)*(x^8 - 2*x^5 + x^10 + 1)^(1/2))/x^9, x)","F"
808,0,-1,61,0.000000,"\text{Not used}","int(((x^6 + 1)*(x^3 + x^6 - 1)^(2/3))/(x^12 - x^6 + 1),x)","\int \frac{\left(x^6+1\right)\,{\left(x^6+x^3-1\right)}^{2/3}}{x^{12}-x^6+1} \,d x","Not used",1,"int(((x^6 + 1)*(x^3 + x^6 - 1)^(2/3))/(x^12 - x^6 + 1), x)","F"
809,0,-1,61,0.000000,"\text{Not used}","int(((x^6 + 1)*(x^3 + x^6 - 1)^(2/3))/(x^12 - x^6 + 1),x)","\int \frac{\left(x^6+1\right)\,{\left(x^6+x^3-1\right)}^{2/3}}{x^{12}-x^6+1} \,d x","Not used",1,"int(((x^6 + 1)*(x^3 + x^6 - 1)^(2/3))/(x^12 - x^6 + 1), x)","F"
810,0,-1,61,0.000000,"\text{Not used}","int(((5*x^7 - 2)*(2*x + x^3 + 2*x^8)^(1/3))/(x^4 + 8*x^7 + 4*x^14 + 4),x)","\int \frac{\left(5\,x^7-2\right)\,{\left(2\,x^8+x^3+2\,x\right)}^{1/3}}{4\,x^{14}+8\,x^7+x^4+4} \,d x","Not used",1,"int(((5*x^7 - 2)*(2*x + x^3 + 2*x^8)^(1/3))/(x^4 + 8*x^7 + 4*x^14 + 4), x)","F"
811,0,-1,61,0.000000,"\text{Not used}","int(((5*x^7 - 2)*(2*x + x^3 + 2*x^8)^(1/3))/(x^4 + 8*x^7 + 4*x^14 + 4),x)","\int \frac{\left(5\,x^7-2\right)\,{\left(2\,x^8+x^3+2\,x\right)}^{1/3}}{4\,x^{14}+8\,x^7+x^4+4} \,d x","Not used",1,"int(((5*x^7 - 2)*(2*x + x^3 + 2*x^8)^(1/3))/(x^4 + 8*x^7 + 4*x^14 + 4), x)","F"
812,0,-1,61,0.000000,"\text{Not used}","int(1/(a*x + (b^2 + a^2*x^2)^(1/2))^(1/2),x)","\int \frac{1}{\sqrt{a\,x+\sqrt{a^2\,x^2+b^2}}} \,d x","Not used",1,"int(1/(a*x + (b^2 + a^2*x^2)^(1/2))^(1/2), x)","F"
813,0,-1,62,0.000000,"\text{Not used}","int(x^10*(x^4 - 1)^(1/4),x)","\int x^{10}\,{\left(x^4-1\right)}^{1/4} \,d x","Not used",1,"int(x^10*(x^4 - 1)^(1/4), x)","F"
814,0,-1,62,0.000000,"\text{Not used}","int(x^10*(x^4 + 1)^(1/4),x)","\int x^{10}\,{\left(x^4+1\right)}^{1/4} \,d x","Not used",1,"int(x^10*(x^4 + 1)^(1/4), x)","F"
815,0,-1,62,0.000000,"\text{Not used}","int((x^2 + 1)/((x^2 + x^4)^(1/4)*(x^4 - x^2 + 1)),x)","\int \frac{x^2+1}{{\left(x^4+x^2\right)}^{1/4}\,\left(x^4-x^2+1\right)} \,d x","Not used",1,"int((x^2 + 1)/((x^2 + x^4)^(1/4)*(x^4 - x^2 + 1)), x)","F"
816,0,-1,62,0.000000,"\text{Not used}","int(-1/((b - a*x^4)*(a*x^4 - b*x^2)^(1/4)),x)","-\int \frac{1}{\left(b-a\,x^4\right)\,{\left(a\,x^4-b\,x^2\right)}^{1/4}} \,d x","Not used",1,"-int(1/((b - a*x^4)*(a*x^4 - b*x^2)^(1/4)), x)","F"
817,0,-1,62,0.000000,"\text{Not used}","int(-1/((b - a*x^4)*(a*x^4 - b*x^2)^(1/4)),x)","-\int \frac{1}{\left(b-a\,x^4\right)\,{\left(a\,x^4-b\,x^2\right)}^{1/4}} \,d x","Not used",1,"-int(1/((b - a*x^4)*(a*x^4 - b*x^2)^(1/4)), x)","F"
818,0,-1,62,0.000000,"\text{Not used}","int(-(x^2 - 1)/(x*(a + b*x + a*x^4 + b*x^3 + c*x^2)^(1/2)),x)","\int -\frac{x^2-1}{x\,\sqrt{a\,x^4+b\,x^3+c\,x^2+b\,x+a}} \,d x","Not used",1,"int(-(x^2 - 1)/(x*(a + b*x + a*x^4 + b*x^3 + c*x^2)^(1/2)), x)","F"
819,1,73,62,0.929254,"\text{Not used}","int((x^2*(3*x^4 - 1))/((x^4 + 1)^2*(x + x^5)^(1/2)*(a - x + a*x^4)),x)","a^{3/2}\,\ln\left(\frac{a+x-2\,\sqrt{a}\,\sqrt{x^5+x}+a\,x^4}{a\,x^4-x+a}\right)+\frac{2\,a\,\sqrt{x^5+x}}{x^4+1}+\frac{2\,x\,\sqrt{x^5+x}}{3\,{\left(x^4+1\right)}^2}","Not used",1,"a^(3/2)*log((a + x - 2*a^(1/2)*(x + x^5)^(1/2) + a*x^4)/(a - x + a*x^4)) + (2*a*(x + x^5)^(1/2))/(x^4 + 1) + (2*x*(x + x^5)^(1/2))/(3*(x^4 + 1)^2)","B"
820,0,-1,62,0.000000,"\text{Not used}","int(-((x^4 - 3)*(x^3 - 2*x^4 + x^6 + x^7 - x^8 - 1))/(x^6*(x + x^5)^(1/4)*(x^4 - x^3 + 1)),x)","\int -\frac{\left(x^4-3\right)\,\left(-x^8+x^7+x^6-2\,x^4+x^3-1\right)}{x^6\,{\left(x^5+x\right)}^{1/4}\,\left(x^4-x^3+1\right)} \,d x","Not used",1,"int(-((x^4 - 3)*(x^3 - 2*x^4 + x^6 + x^7 - x^8 - 1))/(x^6*(x + x^5)^(1/4)*(x^4 - x^3 + 1)), x)","F"
821,0,-1,62,0.000000,"\text{Not used}","int((x^2 + 1)/((x + 1)^(1/2) + 1)^(1/2),x)","\int \frac{x^2+1}{\sqrt{\sqrt{x+1}+1}} \,d x","Not used",1,"int((x^2 + 1)/((x + 1)^(1/2) + 1)^(1/2), x)","F"
822,0,-1,62,0.000000,"\text{Not used}","int((2*x - 1)/(((x + 1)^6 - a^2*x^2)^(1/2)*(x + 1)),x)","\int \frac{2\,x-1}{\sqrt{{\left(x+1\right)}^6-a^2\,x^2}\,\left(x+1\right)} \,d x","Not used",1,"int((2*x - 1)/(((x + 1)^6 - a^2*x^2)^(1/2)*(x + 1)), x)","F"
823,0,-1,62,0.000000,"\text{Not used}","int(x/((a*x + (a^2*x^2 - b)^(1/2))^(1/4)*(a^2*x^2 - b)^(1/2)),x)","\int \frac{x}{{\left(a\,x+\sqrt{a^2\,x^2-b}\right)}^{1/4}\,\sqrt{a^2\,x^2-b}} \,d x","Not used",1,"int(x/((a*x + (a^2*x^2 - b)^(1/2))^(1/4)*(a^2*x^2 - b)^(1/2)), x)","F"
824,0,-1,62,0.000000,"\text{Not used}","int((a*x + (b^2 + a^2*x^2)^(1/2))^(1/2),x)","\int \sqrt{a\,x+\sqrt{a^2\,x^2+b^2}} \,d x","Not used",1,"int((a*x + (b^2 + a^2*x^2)^(1/2))^(1/2), x)","F"
825,0,-1,63,0.000000,"\text{Not used}","int(1/((x - x^(1/2))^(1/2)*(x^(1/2) + 1)),x)","\int \frac{1}{\sqrt{x-\sqrt{x}}\,\left(\sqrt{x}+1\right)} \,d x","Not used",1,"int(1/((x - x^(1/2))^(1/2)*(x^(1/2) + 1)), x)","F"
826,1,187,63,0.760628,"\text{Not used}","int(x/((x^2 - 1)*(x + x^2 + x^3)^(1/2)),x)","\frac{\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\left(\sqrt{3}+1{}\mathrm{i}\right)\,\left(\Pi \left(\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)-\Pi \left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)\right)\,1{}\mathrm{i}}{2\,\sqrt{x^3+x^2-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,x}}","Not used",1,"((x/((3^(1/2)*1i)/2 - 1/2))^(1/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 1/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 1/2))^(1/2)*(3^(1/2) + 1i)*(ellipticPi(1/2 - (3^(1/2)*1i)/2, asin((x/((3^(1/2)*1i)/2 - 1/2))^(1/2)), -((3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 + 1/2)) - ellipticPi((3^(1/2)*1i)/2 - 1/2, asin((x/((3^(1/2)*1i)/2 - 1/2))^(1/2)), -((3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 + 1/2)))*1i)/(2*(x^2 + x^3 - x*((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2))","B"
827,0,-1,63,0.000000,"\text{Not used}","int(-(x^2*(3*a + b + c) - 2*x^3 - 2*a*x*(b + c) + a*b*c)/((a*d - x^2*(b + c) - x*(d - b*c) + x^3)*(-x*(a - x)*(b - x)*(c - x))^(1/2)),x)","-\int \frac{-2\,x^3+\left(3\,a+b+c\right)\,x^2-2\,a\,\left(b+c\right)\,x+a\,b\,c}{\left(x^3+\left(-b-c\right)\,x^2+\left(b\,c-d\right)\,x+a\,d\right)\,\sqrt{-x\,\left(a-x\right)\,\left(b-x\right)\,\left(c-x\right)}} \,d x","Not used",1,"-int((x^2*(3*a + b + c) - 2*x^3 - 2*a*x*(b + c) + a*b*c)/((a*d - x^2*(b + c) - x*(d - b*c) + x^3)*(-x*(a - x)*(b - x)*(c - x))^(1/2)), x)","F"
828,1,89,63,1.320746,"\text{Not used}","int(-(3*b + a*x^3)/(x*(b + a*x^3)^(1/2)*(b - a*x^3)),x)","\frac{\ln\left(\frac{\left(\sqrt{a\,x^3+b}-\sqrt{b}\right)\,{\left(\sqrt{a\,x^3+b}+\sqrt{b}\right)}^3}{x^6}\right)}{\sqrt{b}}+\frac{2\,\sqrt{2}\,\ln\left(\frac{3\,\sqrt{2}\,b-4\,\sqrt{b}\,\sqrt{a\,x^3+b}+\sqrt{2}\,a\,x^3}{b-a\,x^3}\right)}{3\,\sqrt{b}}","Not used",1,"log((((b + a*x^3)^(1/2) - b^(1/2))*((b + a*x^3)^(1/2) + b^(1/2))^3)/x^6)/b^(1/2) + (2*2^(1/2)*log((3*2^(1/2)*b - 4*b^(1/2)*(b + a*x^3)^(1/2) + 2^(1/2)*a*x^3)/(b - a*x^3)))/(3*b^(1/2))","B"
829,1,125,63,34.979996,"\text{Not used}","int(((2*c - a*x^3)*(c + a*x^3 + b*x^2)^(1/2))/((c + a*x^3 + x^2*(b - 2))*(c + a*x^3 + x^2*(b - 3))),x)","\sqrt{2}\,\ln\left(\frac{c+a\,x^3+b\,x^2+2\,x^2-2\,\sqrt{2}\,x\,\sqrt{a\,x^3+b\,x^2+c}}{c+a\,x^3+b\,x^2-2\,x^2}\right)+\sqrt{3}\,\ln\left(\frac{c+a\,x^3+b\,x^2+3\,x^2+2\,\sqrt{3}\,x\,\sqrt{a\,x^3+b\,x^2+c}}{c+a\,x^3+b\,x^2-3\,x^2}\right)","Not used",1,"2^(1/2)*log((c + a*x^3 + b*x^2 + 2*x^2 - 2*2^(1/2)*x*(c + a*x^3 + b*x^2)^(1/2))/(c + a*x^3 + b*x^2 - 2*x^2)) + 3^(1/2)*log((c + a*x^3 + b*x^2 + 3*x^2 + 2*3^(1/2)*x*(c + a*x^3 + b*x^2)^(1/2))/(c + a*x^3 + b*x^2 - 3*x^2))","B"
830,0,-1,63,0.000000,"\text{Not used}","int(-(x^2*(3*a + b + c) - 2*x^3 - 2*a*x*(b + c) + a*b*c)/((-x*(a - x)*(b - x)*(c - x))^(1/2)*(a + d*x^3 + x*(b*c*d - 1) - d*x^2*(b + c))),x)","-\int \frac{-2\,x^3+\left(3\,a+b+c\right)\,x^2-2\,a\,\left(b+c\right)\,x+a\,b\,c}{\sqrt{-x\,\left(a-x\right)\,\left(b-x\right)\,\left(c-x\right)}\,\left(d\,x^3-d\,\left(b+c\right)\,x^2+\left(b\,c\,d-1\right)\,x+a\right)} \,d x","Not used",1,"-int((x^2*(3*a + b + c) - 2*x^3 - 2*a*x*(b + c) + a*b*c)/((-x*(a - x)*(b - x)*(c - x))^(1/2)*(a + d*x^3 + x*(b*c*d - 1) - d*x^2*(b + c))), x)","F"
831,0,-1,63,0.000000,"\text{Not used}","int((x^3 - 1)/((x^3 + 1)*(x^4 + 1)^(1/2)),x)","\int \frac{x^3-1}{\left(x^3+1\right)\,\sqrt{x^4+1}} \,d x","Not used",1,"int((x^3 - 1)/((x^3 + 1)*(x^4 + 1)^(1/2)), x)","F"
832,0,-1,63,0.000000,"\text{Not used}","int(x^4*(x^4 - x)^(1/4),x)","\int x^4\,{\left(x^4-x\right)}^{1/4} \,d x","Not used",1,"int(x^4*(x^4 - x)^(1/4), x)","F"
833,1,27,63,0.837787,"\text{Not used}","int((x^4 - x^3)^(1/4),x)","\frac{4\,x\,{\left(x^4-x^3\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{4},\frac{7}{4};\ \frac{11}{4};\ x\right)}{7\,{\left(1-x\right)}^{1/4}}","Not used",1,"(4*x*(x^4 - x^3)^(1/4)*hypergeom([-1/4, 7/4], 11/4, x))/(7*(1 - x)^(1/4))","B"
834,0,-1,63,0.000000,"\text{Not used}","int(((2 - x^4 - x^3)^(1/2)*(x^3 + 2*x^4 + 4))/((3*x^2 - x^3 - x^4 + 2)*(x^2 - x^3 - x^4 + 2)),x)","\int \frac{\sqrt{-x^4-x^3+2}\,\left(2\,x^4+x^3+4\right)}{\left(-x^4-x^3+3\,x^2+2\right)\,\left(-x^4-x^3+x^2+2\right)} \,d x","Not used",1,"int(((2 - x^4 - x^3)^(1/2)*(x^3 + 2*x^4 + 4))/((3*x^2 - x^3 - x^4 + 2)*(x^2 - x^3 - x^4 + 2)), x)","F"
835,0,-1,63,0.000000,"\text{Not used}","int((a*x^4 + b*x^3)^(1/4)/(x*(b + a*x + x^2)),x)","\int \frac{{\left(a\,x^4+b\,x^3\right)}^{1/4}}{x\,\left(x^2+a\,x+b\right)} \,d x","Not used",1,"int((a*x^4 + b*x^3)^(1/4)/(x*(b + a*x + x^2)), x)","F"
836,0,-1,63,0.000000,"\text{Not used}","int((a*x^4 + b*x^3)^(1/4)/(x*(b + a*x + x^2)),x)","\int \frac{{\left(a\,x^4+b\,x^3\right)}^{1/4}}{x\,\left(x^2+a\,x+b\right)} \,d x","Not used",1,"int((a*x^4 + b*x^3)^(1/4)/(x*(b + a*x + x^2)), x)","F"
837,0,-1,63,0.000000,"\text{Not used}","int((x^2*(x^6 - 4))/((x^6 - 1)^(1/2)*(x^6 + 2)),x)","\int \frac{x^2\,\left(x^6-4\right)}{\sqrt{x^6-1}\,\left(x^6+2\right)} \,d x","Not used",1,"int((x^2*(x^6 - 4))/((x^6 - 1)^(1/2)*(x^6 + 2)), x)","F"
838,0,-1,63,0.000000,"\text{Not used}","int(-((x^5 - 1)*(2*x^5 + 3)*(x^3 + x^5 - 1))/(x^6*(x^6 - x)^(1/4)*(x^3 - x^5 + 1)),x)","\int -\frac{\left(x^5-1\right)\,\left(2\,x^5+3\right)\,\left(x^5+x^3-1\right)}{x^6\,{\left(x^6-x\right)}^{1/4}\,\left(-x^5+x^3+1\right)} \,d x","Not used",1,"int(-((x^5 - 1)*(2*x^5 + 3)*(x^3 + x^5 - 1))/(x^6*(x^6 - x)^(1/4)*(x^3 - x^5 + 1)), x)","F"
839,1,724,63,0.051215,"\text{Not used}","int(((x^3 + 1)^(1/2)*(2*x^3 + x^6 + 2))/(x^7*(x^6 - 1)),x)","\frac{5\,\sqrt{x^3+1}}{6\,x^3}+\frac{\sqrt{x^3+1}}{3\,x^6}+\frac{15\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{2\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}-\frac{5\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{3}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4};\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{3\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}-\frac{10\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}};\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{3\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}+\frac{10\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}};\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{3\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(5*(x^3 + 1)^(1/2))/(6*x^3) + (x^3 + 1)^(1/2)/(3*x^6) + (15*((3^(1/2)*1i)/2 + 3/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi((3^(1/2)*1i)/2 + 3/2, asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(2*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2)) - (5*((3^(1/2)*1i)/2 + 3/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi((3^(1/2)*1i)/4 + 3/4, asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(3*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2)) - (10*((3^(1/2)*1i)/2 + 3/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi(((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 + 1/2), asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(3*((3^(1/2)*1i)/2 + 1/2)*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2)) + (10*((3^(1/2)*1i)/2 + 3/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi(-((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 1/2), asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(3*((3^(1/2)*1i)/2 - 1/2)*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2))","B"
840,0,-1,63,0.000000,"\text{Not used}","int(((3*x^5 + 2)*(x^2 + x^5 - 1)^(1/2))/(x^4 - 2*x^5 + x^10 + 1),x)","\int \frac{\left(3\,x^5+2\right)\,\sqrt{x^5+x^2-1}}{x^{10}-2\,x^5+x^4+1} \,d x","Not used",1,"int(((3*x^5 + 2)*(x^2 + x^5 - 1)^(1/2))/(x^4 - 2*x^5 + x^10 + 1), x)","F"
841,0,-1,63,0.000000,"\text{Not used}","int(1/(x*(x^2 + x*(x + x^2)^(1/2))^(1/2)*(x + x^2)^(1/2)),x)","\int \frac{1}{x\,\sqrt{x^2+x\,\sqrt{x^2+x}}\,\sqrt{x^2+x}} \,d x","Not used",1,"int(1/(x*(x^2 + x*(x + x^2)^(1/2))^(1/2)*(x + x^2)^(1/2)), x)","F"
842,0,-1,63,0.000000,"\text{Not used}","int((b + (a*x^2 + b^2)^(1/2))^(1/2),x)","\int \sqrt{b+\sqrt{b^2+a\,x^2}} \,d x","Not used",1,"int((b + (a*x^2 + b^2)^(1/2))^(1/2), x)","F"
843,1,121,63,1.488042,"\text{Not used}","int(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)/((x^2 + 1)^(1/2)*(x + (x^2 + 1)^(1/2))^(1/2)),x)","-\frac{2\,\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}}{\sqrt{x+\sqrt{x^2+1}}}-\frac{\ln\left(\sqrt{\frac{1}{x+\sqrt{x^2+1}}+\frac{1}{\sqrt{x+\sqrt{x^2+1}}}}+\frac{1}{\sqrt{x+\sqrt{x^2+1}}}+\frac{1}{2}\right)\,\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}}{\sqrt{x+\sqrt{x^2+1}}\,\sqrt{\frac{1}{x+\sqrt{x^2+1}}+\frac{1}{\sqrt{x+\sqrt{x^2+1}}}}}","Not used",1,"- (2*((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2))/(x + (x^2 + 1)^(1/2))^(1/2) - (log((1/(x + (x^2 + 1)^(1/2)) + 1/(x + (x^2 + 1)^(1/2))^(1/2))^(1/2) + 1/(x + (x^2 + 1)^(1/2))^(1/2) + 1/2)*((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2))/((x + (x^2 + 1)^(1/2))^(1/2)*(1/(x + (x^2 + 1)^(1/2)) + 1/(x + (x^2 + 1)^(1/2))^(1/2))^(1/2))","B"
844,-1,-1,64,0.000000,"\text{Not used}","int(-(b - a*x)/((b^2*x + a^2*x^3)^(1/2)*(b + a*x)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
845,-1,-1,64,0.000000,"\text{Not used}","int(-(b + a*x)/((b^2*x + a^2*x^3)^(1/2)*(b - a*x)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
846,-1,-1,64,0.000000,"\text{Not used}","int((a*x^3 - b*x^2)/((a*x^3 + b*x^2)*(b^2*x + a^2*x^3)^(1/2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
847,0,-1,64,0.000000,"\text{Not used}","int((5*x + 2)/(20*x + 5*x^2 + 2*x^3 + x^4 - 12)^(1/2),x)","\int \frac{5\,x+2}{\sqrt{x^4+2\,x^3+5\,x^2+20\,x-12}} \,d x","Not used",1,"int((5*x + 2)/(20*x + 5*x^2 + 2*x^3 + x^4 - 12)^(1/2), x)","F"
848,0,-1,64,0.000000,"\text{Not used}","int(((x^3 - 1)*(x^6 - 1)^(1/2))/x^7,x)","\int \frac{\left(x^3-1\right)\,\sqrt{x^6-1}}{x^7} \,d x","Not used",1,"int(((x^3 - 1)*(x^6 - 1)^(1/2))/x^7, x)","F"
849,1,50,64,0.982553,"\text{Not used}","int(((x^6 - 1)^(1/2)*(2*x^6 - 1)^2)/(x^7*(4*x^6 - 1)),x)","\frac{\sqrt{x^6-1}}{3}-\frac{\sqrt{3}\,\mathrm{atan}\left(\frac{2\,\sqrt{3}\,\sqrt{x^6-1}}{3}\right)}{6}-\frac{\mathrm{atan}\left(\sqrt{x^6-1}\right)}{6}+\frac{\sqrt{x^6-1}}{6\,x^6}","Not used",1,"(x^6 - 1)^(1/2)/3 - (3^(1/2)*atan((2*3^(1/2)*(x^6 - 1)^(1/2))/3))/6 - atan((x^6 - 1)^(1/2))/6 + (x^6 - 1)^(1/2)/(6*x^6)","B"
850,0,-1,64,0.000000,"\text{Not used}","int((x^4 - 2)/((x^4 + 1)^(1/4)*(x^4 + 2*x^8 - 1)),x)","\int \frac{x^4-2}{{\left(x^4+1\right)}^{1/4}\,\left(2\,x^8+x^4-1\right)} \,d x","Not used",1,"int((x^4 - 2)/((x^4 + 1)^(1/4)*(x^4 + 2*x^8 - 1)), x)","F"
851,0,-1,64,0.000000,"\text{Not used}","int(-(x^2 - 10*x^8)/((x^6 - 1)^(1/2)*(4*x^6 - 1)),x)","\int -\frac{x^2-10\,x^8}{\sqrt{x^6-1}\,\left(4\,x^6-1\right)} \,d x","Not used",1,"int(-(x^2 - 10*x^8)/((x^6 - 1)^(1/2)*(4*x^6 - 1)), x)","F"
852,1,111,65,0.831727,"\text{Not used}","int((x^2 + 1)/((x^2 - 1)*(2*x^2 + 1)^(3/2)),x)","\frac{\sqrt{3}\,\left(\ln\left(x-1\right)-\ln\left(x+\frac{\sqrt{2}\,\sqrt{3}\,\sqrt{x^2+\frac{1}{2}}}{2}+\frac{1}{2}\right)\right)}{9}-\frac{\sqrt{3}\,\left(\ln\left(x+1\right)-\ln\left(x-\frac{\sqrt{2}\,\sqrt{3}\,\sqrt{x^2+\frac{1}{2}}}{2}-\frac{1}{2}\right)\right)}{9}-\frac{\sqrt{2}\,\sqrt{x^2+\frac{1}{2}}}{12\,\left(x-\frac{\sqrt{2}\,1{}\mathrm{i}}{2}\right)}-\frac{\sqrt{2}\,\sqrt{x^2+\frac{1}{2}}}{12\,\left(x+\frac{\sqrt{2}\,1{}\mathrm{i}}{2}\right)}","Not used",1,"(3^(1/2)*(log(x - 1) - log(x + (2^(1/2)*3^(1/2)*(x^2 + 1/2)^(1/2))/2 + 1/2)))/9 - (3^(1/2)*(log(x + 1) - log(x - (2^(1/2)*3^(1/2)*(x^2 + 1/2)^(1/2))/2 - 1/2)))/9 - (2^(1/2)*(x^2 + 1/2)^(1/2))/(12*(x - (2^(1/2)*1i)/2)) - (2^(1/2)*(x^2 + 1/2)^(1/2))/(12*(x + (2^(1/2)*1i)/2))","B"
853,1,49,65,0.811744,"\text{Not used}","int((b + a*x^2)^(3/4)/x,x)","b^{3/4}\,\mathrm{atan}\left(\frac{{\left(a\,x^2+b\right)}^{1/4}}{b^{1/4}}\right)-b^{3/4}\,\mathrm{atanh}\left(\frac{{\left(a\,x^2+b\right)}^{1/4}}{b^{1/4}}\right)+\frac{2\,{\left(a\,x^2+b\right)}^{3/4}}{3}","Not used",1,"b^(3/4)*atan((b + a*x^2)^(1/4)/b^(1/4)) - b^(3/4)*atanh((b + a*x^2)^(1/4)/b^(1/4)) + (2*(b + a*x^2)^(3/4))/3","B"
854,1,116,65,0.717394,"\text{Not used}","int((x^2 - x + 1)/((x^2 - 1)*(x + x^3)^(1/2)),x)","-\frac{-\sqrt{1-x\,1{}\mathrm{i}}\,\sqrt{1+x\,1{}\mathrm{i}}\,\sqrt{-x\,1{}\mathrm{i}}\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{-x\,1{}\mathrm{i}}\right)\middle|-1\right)\,2{}\mathrm{i}+\sqrt{1-x\,1{}\mathrm{i}}\,\sqrt{1+x\,1{}\mathrm{i}}\,\sqrt{-x\,1{}\mathrm{i}}\,\Pi \left(-\mathrm{i};\mathrm{asin}\left(\sqrt{-x\,1{}\mathrm{i}}\right)\middle|-1\right)\,3{}\mathrm{i}+\sqrt{1-x\,1{}\mathrm{i}}\,\sqrt{1+x\,1{}\mathrm{i}}\,\sqrt{-x\,1{}\mathrm{i}}\,\Pi \left(1{}\mathrm{i};\mathrm{asin}\left(\sqrt{-x\,1{}\mathrm{i}}\right)\middle|-1\right)\,1{}\mathrm{i}}{\sqrt{x^3+x}}","Not used",1,"-((1 - x*1i)^(1/2)*(x*1i + 1)^(1/2)*(-x*1i)^(1/2)*ellipticPi(-1i, asin((-x*1i)^(1/2)), -1)*3i - (1 - x*1i)^(1/2)*(x*1i + 1)^(1/2)*(-x*1i)^(1/2)*ellipticF(asin((-x*1i)^(1/2)), -1)*2i + (1 - x*1i)^(1/2)*(x*1i + 1)^(1/2)*(-x*1i)^(1/2)*ellipticPi(1i, asin((-x*1i)^(1/2)), -1)*1i)/(x + x^3)^(1/2)","B"
855,0,-1,65,0.000000,"\text{Not used}","int((2*x^2 - 1)/((x^2 + 1)*(x^4 - x^2 - 1)^(1/2)),x)","\int \frac{2\,x^2-1}{\left(x^2+1\right)\,\sqrt{x^4-x^2-1}} \,d x","Not used",1,"int((2*x^2 - 1)/((x^2 + 1)*(x^4 - x^2 - 1)^(1/2)), x)","F"
856,0,-1,65,0.000000,"\text{Not used}","int(-1/((a*x^4 + b*x^2)^(1/4)*(2*b - a*x^4)),x)","-\int \frac{1}{{\left(a\,x^4+b\,x^2\right)}^{1/4}\,\left(2\,b-a\,x^4\right)} \,d x","Not used",1,"-int(1/((a*x^4 + b*x^2)^(1/4)*(2*b - a*x^4)), x)","F"
857,0,-1,65,0.000000,"\text{Not used}","int(-1/((a*x^4 + b*x^2)^(1/4)*(2*b - a*x^4)),x)","-\int \frac{1}{{\left(a\,x^4+b\,x^2\right)}^{1/4}\,\left(2\,b-a\,x^4\right)} \,d x","Not used",1,"-int(1/((a*x^4 + b*x^2)^(1/4)*(2*b - a*x^4)), x)","F"
858,0,-1,65,0.000000,"\text{Not used}","int((2*b - c*x^2)/((b - c*x^2)*(a*x^4 - b + c*x^2)^(1/4)),x)","\int \frac{2\,b-c\,x^2}{\left(b-c\,x^2\right)\,{\left(a\,x^4+c\,x^2-b\right)}^{1/4}} \,d x","Not used",1,"int((2*b - c*x^2)/((b - c*x^2)*(a*x^4 - b + c*x^2)^(1/4)), x)","F"
859,0,-1,65,0.000000,"\text{Not used}","int((4*b - a*x^3)/((b - a*x^3)*(b - a*x^3 + c*x^4)^(1/4)),x)","\int \frac{4\,b-a\,x^3}{\left(b-a\,x^3\right)\,{\left(c\,x^4-a\,x^3+b\right)}^{1/4}} \,d x","Not used",1,"int((4*b - a*x^3)/((b - a*x^3)*(b - a*x^3 + c*x^4)^(1/4)), x)","F"
860,0,-1,65,0.000000,"\text{Not used}","int(-(b - a*x^6)/((b + a*x^6)*(a*x^6 - b + a^3*x^3)^(1/3)),x)","\int -\frac{b-a\,x^6}{\left(a\,x^6+b\right)\,{\left(a^3\,x^3+a\,x^6-b\right)}^{1/3}} \,d x","Not used",1,"int(-(b - a*x^6)/((b + a*x^6)*(a*x^6 - b + a^3*x^3)^(1/3)), x)","F"
861,0,-1,65,0.000000,"\text{Not used}","int(-(b - a*x^6)/((b + a*x^6)*(a*x^6 - b + a^3*x^3)^(1/3)),x)","\int -\frac{b-a\,x^6}{\left(a\,x^6+b\right)\,{\left(a^3\,x^3+a\,x^6-b\right)}^{1/3}} \,d x","Not used",1,"int(-(b - a*x^6)/((b + a*x^6)*(a*x^6 - b + a^3*x^3)^(1/3)), x)","F"
862,0,-1,65,0.000000,"\text{Not used}","int(((1 - x^4)^(1/2)*(x^4 + 1))/(4*x^8 - 7*x^4 + 4),x)","\int \frac{\sqrt{1-x^4}\,\left(x^4+1\right)}{4\,x^8-7\,x^4+4} \,d x","Not used",1,"int(((1 - x^4)^(1/2)*(x^4 + 1))/(4*x^8 - 7*x^4 + 4), x)","F"
863,0,-1,65,0.000000,"\text{Not used}","int(-x^4/((a*x^4 - b)^(1/4)*(b - a*x^8)),x)","-\int \frac{x^4}{{\left(a\,x^4-b\right)}^{1/4}\,\left(b-a\,x^8\right)} \,d x","Not used",1,"-int(x^4/((a*x^4 - b)^(1/4)*(b - a*x^8)), x)","F"
864,0,-1,65,0.000000,"\text{Not used}","int((((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x + (x^2 + 1)^(1/2))^(1/2))/(x^2 + 1),x)","\int \frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}\,\sqrt{x+\sqrt{x^2+1}}}{x^2+1} \,d x","Not used",1,"int((((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x + (x^2 + 1)^(1/2))^(1/2))/(x^2 + 1), x)","F"
865,0,-1,65,0.000000,"\text{Not used}","int((((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x + (x^2 + 1)^(1/2))^(1/2))/(x^2 + 1),x)","\int \frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}\,\sqrt{x+\sqrt{x^2+1}}}{x^2+1} \,d x","Not used",1,"int((((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x + (x^2 + 1)^(1/2))^(1/2))/(x^2 + 1), x)","F"
866,1,96,66,3.503057,"\text{Not used}","int((a*x^3 - b)^(1/2)/(x*(2*b + a*x^3)),x)","\frac{\ln\left(\frac{2\,b-a\,x^3+\sqrt{b}\,\sqrt{a\,x^3-b}\,2{}\mathrm{i}}{x^3}\right)\,1{}\mathrm{i}}{6\,\sqrt{b}}+\frac{\sqrt{3}\,\ln\left(\frac{\sqrt{3}\,b\,4{}\mathrm{i}+6\,\sqrt{b}\,\sqrt{a\,x^3-b}-\sqrt{3}\,a\,x^3\,1{}\mathrm{i}}{2\,a\,x^3+4\,b}\right)\,1{}\mathrm{i}}{6\,\sqrt{b}}","Not used",1,"(log((2*b + b^(1/2)*(a*x^3 - b)^(1/2)*2i - a*x^3)/x^3)*1i)/(6*b^(1/2)) + (3^(1/2)*log((3^(1/2)*b*4i + 6*b^(1/2)*(a*x^3 - b)^(1/2) - 3^(1/2)*a*x^3*1i)/(4*b + 2*a*x^3))*1i)/(6*b^(1/2))","B"
867,1,96,66,2.947379,"\text{Not used}","int(-(b - 4*a*x^3)/(x*(a*x^3 - b)^(1/2)*(2*b + a*x^3)),x)","\frac{\ln\left(\frac{2\,b-a\,x^3+\sqrt{b}\,\sqrt{a\,x^3-b}\,2{}\mathrm{i}}{x^3}\right)\,1{}\mathrm{i}}{6\,\sqrt{b}}+\frac{\sqrt{3}\,\ln\left(\frac{\sqrt{3}\,b\,4{}\mathrm{i}+6\,\sqrt{b}\,\sqrt{a\,x^3-b}-\sqrt{3}\,a\,x^3\,1{}\mathrm{i}}{6\,a\,x^3+12\,b}\right)\,1{}\mathrm{i}}{2\,\sqrt{b}}","Not used",1,"(log((2*b + b^(1/2)*(a*x^3 - b)^(1/2)*2i - a*x^3)/x^3)*1i)/(6*b^(1/2)) + (3^(1/2)*log((3^(1/2)*b*4i + 6*b^(1/2)*(a*x^3 - b)^(1/2) - 3^(1/2)*a*x^3*1i)/(12*b + 6*a*x^3))*1i)/(2*b^(1/2))","B"
868,0,-1,66,0.000000,"\text{Not used}","int((6*x^2 + x^4 + 1)^(1/2)/((x - 1)*(x + 1)^3),x)","\int \frac{\sqrt{x^4+6\,x^2+1}}{\left(x-1\right)\,{\left(x+1\right)}^3} \,d x","Not used",1,"int((6*x^2 + x^4 + 1)^(1/2)/((x - 1)*(x + 1)^3), x)","F"
869,1,48,66,0.822691,"\text{Not used}","int((b + a*x^4)^(1/4)/x,x)","{\left(a\,x^4+b\right)}^{1/4}-\frac{b^{1/4}\,\mathrm{atanh}\left(\frac{{\left(a\,x^4+b\right)}^{1/4}}{b^{1/4}}\right)}{2}-\frac{b^{1/4}\,\mathrm{atan}\left(\frac{{\left(a\,x^4+b\right)}^{1/4}}{b^{1/4}}\right)}{2}","Not used",1,"(b + a*x^4)^(1/4) - (b^(1/4)*atanh((b + a*x^4)^(1/4)/b^(1/4)))/2 - (b^(1/4)*atan((b + a*x^4)^(1/4)/b^(1/4)))/2","B"
870,0,-1,66,0.000000,"\text{Not used}","int(-1/((a*x^4 - b*x^2)^(1/4)*(2*b - a*x^4)),x)","-\int \frac{1}{{\left(a\,x^4-b\,x^2\right)}^{1/4}\,\left(2\,b-a\,x^4\right)} \,d x","Not used",1,"-int(1/((a*x^4 - b*x^2)^(1/4)*(2*b - a*x^4)), x)","F"
871,0,-1,66,0.000000,"\text{Not used}","int(-1/((a*x^4 - b*x^2)^(1/4)*(2*b - a*x^4)),x)","-\int \frac{1}{{\left(a\,x^4-b\,x^2\right)}^{1/4}\,\left(2\,b-a\,x^4\right)} \,d x","Not used",1,"-int(1/((a*x^4 - b*x^2)^(1/4)*(2*b - a*x^4)), x)","F"
872,0,-1,66,0.000000,"\text{Not used}","int(x^6/((b^2 + a^2*x^8)*(b + a*x^4)^(3/4)),x)","\int \frac{x^6}{\left(a^2\,x^8+b^2\right)\,{\left(a\,x^4+b\right)}^{3/4}} \,d x","Not used",1,"int(x^6/((b^2 + a^2*x^8)*(b + a*x^4)^(3/4)), x)","F"
873,0,-1,66,0.000000,"\text{Not used}","int((x^2*(x^2 - 1)^(1/2) + x^3)^(1/2),x)","\int \sqrt{x^2\,\sqrt{x^2-1}+x^3} \,d x","Not used",1,"int((x^2*(x^2 - 1)^(1/2) + x^3)^(1/2), x)","F"
874,1,722,67,0.106740,"\text{Not used}","int(-((a - x)*(b - x)*(a*b - x^2))/(x*(x*(a - x)*(b - x))^(1/2)*(a*b - x*(a + b + d) + x^2)),x)","\frac{b\,d\,\sqrt{\frac{x}{b}}\,\sqrt{\frac{b-x}{b}}\,\sqrt{\frac{a-x}{a-b}}\,\Pi \left(-\frac{b}{\frac{a}{2}-\frac{b}{2}+\frac{d}{2}-\frac{\sqrt{a^2-2\,a\,b+2\,a\,d+b^2+2\,b\,d+d^2}}{2}};\mathrm{asin}\left(\sqrt{\frac{b-x}{b}}\right)\middle|-\frac{b}{a-b}\right)\,\left(a+b+d-\sqrt{a^2-2\,a\,b+2\,a\,d+b^2+2\,b\,d+d^2}\right)}{\sqrt{x^3+\left(-a-b\right)\,x^2+a\,b\,x}\,\left(\frac{a}{2}-\frac{b}{2}+\frac{d}{2}-\frac{\sqrt{a^2-2\,a\,b+2\,a\,d+b^2+2\,b\,d+d^2}}{2}\right)}-\frac{2\,a\,b\,\left(\frac{\mathrm{E}\left(\mathrm{asin}\left(\sqrt{\frac{b-x}{b}}\right)\middle|-\frac{b}{a-b}\right)-\frac{\sqrt{\frac{b-x}{a-b}+1}\,\sqrt{\frac{b-x}{b}}}{\sqrt{1-\frac{b-x}{b}}}}{\frac{b}{a-b}+1}-\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{b-x}{b}}\right)\middle|-\frac{b}{a-b}\right)\right)\,\sqrt{\frac{x}{b}}\,\sqrt{\frac{b-x}{b}}\,\sqrt{\frac{a-x}{a-b}}}{\sqrt{x^3+\left(-a-b\right)\,x^2+a\,b\,x}}-\frac{2\,b\,d\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{b-x}{b}}\right)\middle|-\frac{b}{a-b}\right)\,\sqrt{\frac{x}{b}}\,\sqrt{\frac{b-x}{b}}\,\sqrt{\frac{a-x}{a-b}}}{\sqrt{x^3+\left(-a-b\right)\,x^2+a\,b\,x}}-\frac{2\,b\,\left(a\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{b-x}{b}}\right)\middle|-\frac{b}{a-b}\right)-\left(a-b\right)\,\mathrm{E}\left(\mathrm{asin}\left(\sqrt{\frac{b-x}{b}}\right)\middle|-\frac{b}{a-b}\right)\right)\,\sqrt{\frac{x}{b}}\,\sqrt{\frac{b-x}{b}}\,\sqrt{\frac{a-x}{a-b}}}{\sqrt{x^3+\left(-a-b\right)\,x^2+a\,b\,x}}+\frac{b\,d\,\sqrt{\frac{x}{b}}\,\sqrt{\frac{b-x}{b}}\,\sqrt{\frac{a-x}{a-b}}\,\Pi \left(-\frac{b}{\frac{a}{2}-\frac{b}{2}+\frac{d}{2}+\frac{\sqrt{a^2-2\,a\,b+2\,a\,d+b^2+2\,b\,d+d^2}}{2}};\mathrm{asin}\left(\sqrt{\frac{b-x}{b}}\right)\middle|-\frac{b}{a-b}\right)\,\left(a+b+d+\sqrt{a^2-2\,a\,b+2\,a\,d+b^2+2\,b\,d+d^2}\right)}{\sqrt{x^3+\left(-a-b\right)\,x^2+a\,b\,x}\,\left(\frac{a}{2}-\frac{b}{2}+\frac{d}{2}+\frac{\sqrt{a^2-2\,a\,b+2\,a\,d+b^2+2\,b\,d+d^2}}{2}\right)}","Not used",1,"(b*d*(x/b)^(1/2)*((b - x)/b)^(1/2)*((a - x)/(a - b))^(1/2)*ellipticPi(-b/(a/2 - b/2 + d/2 - (2*a*d - 2*a*b + 2*b*d + a^2 + b^2 + d^2)^(1/2)/2), asin(((b - x)/b)^(1/2)), -b/(a - b))*(a + b + d - (2*a*d - 2*a*b + 2*b*d + a^2 + b^2 + d^2)^(1/2)))/((x^3 - x^2*(a + b) + a*b*x)^(1/2)*(a/2 - b/2 + d/2 - (2*a*d - 2*a*b + 2*b*d + a^2 + b^2 + d^2)^(1/2)/2)) - (2*a*b*((ellipticE(asin(((b - x)/b)^(1/2)), -b/(a - b)) - (((b - x)/(a - b) + 1)^(1/2)*((b - x)/b)^(1/2))/(1 - (b - x)/b)^(1/2))/(b/(a - b) + 1) - ellipticF(asin(((b - x)/b)^(1/2)), -b/(a - b)))*(x/b)^(1/2)*((b - x)/b)^(1/2)*((a - x)/(a - b))^(1/2))/(x^3 - x^2*(a + b) + a*b*x)^(1/2) - (2*b*d*ellipticF(asin(((b - x)/b)^(1/2)), -b/(a - b))*(x/b)^(1/2)*((b - x)/b)^(1/2)*((a - x)/(a - b))^(1/2))/(x^3 - x^2*(a + b) + a*b*x)^(1/2) - (2*b*(a*ellipticF(asin(((b - x)/b)^(1/2)), -b/(a - b)) - (a - b)*ellipticE(asin(((b - x)/b)^(1/2)), -b/(a - b)))*(x/b)^(1/2)*((b - x)/b)^(1/2)*((a - x)/(a - b))^(1/2))/(x^3 - x^2*(a + b) + a*b*x)^(1/2) + (b*d*(x/b)^(1/2)*((b - x)/b)^(1/2)*((a - x)/(a - b))^(1/2)*ellipticPi(-b/(a/2 - b/2 + d/2 + (2*a*d - 2*a*b + 2*b*d + a^2 + b^2 + d^2)^(1/2)/2), asin(((b - x)/b)^(1/2)), -b/(a - b))*(a + b + d + (2*a*d - 2*a*b + 2*b*d + a^2 + b^2 + d^2)^(1/2)))/((x^3 - x^2*(a + b) + a*b*x)^(1/2)*(a/2 - b/2 + d/2 + (2*a*d - 2*a*b + 2*b*d + a^2 + b^2 + d^2)^(1/2)/2))","B"
875,0,-1,67,0.000000,"\text{Not used}","int(1/((b + a^3*x^2)*(a^3*x^3 - b*x^2)^(1/3)),x)","\int \frac{1}{\left(a^3\,x^2+b\right)\,{\left(a^3\,x^3-b\,x^2\right)}^{1/3}} \,d x","Not used",1,"int(1/((b + a^3*x^2)*(a^3*x^3 - b*x^2)^(1/3)), x)","F"
876,0,-1,67,0.000000,"\text{Not used}","int(1/((b + a^3*x^2)*(a^3*x^3 - b*x^2)^(1/3)),x)","\int \frac{1}{\left(a^3\,x^2+b\right)\,{\left(a^3\,x^3-b\,x^2\right)}^{1/3}} \,d x","Not used",1,"int(1/((b + a^3*x^2)*(a^3*x^3 - b*x^2)^(1/3)), x)","F"
877,0,-1,67,0.000000,"\text{Not used}","int((x^4 - 1)^(1/2)/(x^4 + 1),x)","\int \frac{\sqrt{x^4-1}}{x^4+1} \,d x","Not used",1,"int((x^4 - 1)^(1/2)/(x^4 + 1), x)","F"
878,0,-1,67,0.000000,"\text{Not used}","int(x^2*(x^4 - x^2)^(1/4),x)","\int x^2\,{\left(x^4-x^2\right)}^{1/4} \,d x","Not used",1,"int(x^2*(x^4 - x^2)^(1/4), x)","F"
879,0,-1,67,0.000000,"\text{Not used}","int(x/(4*x + 3*x^2 - 2*x^3 + x^4 + 1)^(1/2),x)","\int \frac{x}{\sqrt{x^4-2\,x^3+3\,x^2+4\,x+1}} \,d x","Not used",1,"int(x/(4*x + 3*x^2 - 2*x^3 + x^4 + 1)^(1/2), x)","F"
880,0,-1,67,0.000000,"\text{Not used}","int(x/(3*x^2 - 4*x + 2*x^3 + x^4 + 1)^(1/2),x)","\int \frac{x}{\sqrt{x^4+2\,x^3+3\,x^2-4\,x+1}} \,d x","Not used",1,"int(x/(3*x^2 - 4*x + 2*x^3 + x^4 + 1)^(1/2), x)","F"
881,0,-1,67,0.000000,"\text{Not used}","int((2*x^4 - 3*x^2 + 3)/((x^2 - 1)^(1/4)*(x^4 - 3*x^2 + 2)),x)","\int \frac{2\,x^4-3\,x^2+3}{{\left(x^2-1\right)}^{1/4}\,\left(x^4-3\,x^2+2\right)} \,d x","Not used",1,"int((2*x^4 - 3*x^2 + 3)/((x^2 - 1)^(1/4)*(x^4 - 3*x^2 + 2)), x)","F"
882,0,-1,67,0.000000,"\text{Not used}","int(-x^2/((b - a*x^4)*(a*x^4 + b*x^2)^(1/4)),x)","-\int \frac{x^2}{\left(b-a\,x^4\right)\,{\left(a\,x^4+b\,x^2\right)}^{1/4}} \,d x","Not used",1,"-int(x^2/((b - a*x^4)*(a*x^4 + b*x^2)^(1/4)), x)","F"
883,0,-1,67,0.000000,"\text{Not used}","int(-x^2/((b - a*x^4)*(a*x^4 + b*x^2)^(1/4)),x)","-\int \frac{x^2}{\left(b-a\,x^4\right)\,{\left(a\,x^4+b\,x^2\right)}^{1/4}} \,d x","Not used",1,"-int(x^2/((b - a*x^4)*(a*x^4 + b*x^2)^(1/4)), x)","F"
884,0,-1,67,0.000000,"\text{Not used}","int((4*b + x^3)/((b + x^3)*(a*x^4 - b - x^3)^(1/4)),x)","\int \frac{x^3+4\,b}{\left(x^3+b\right)\,{\left(a\,x^4-x^3-b\right)}^{1/4}} \,d x","Not used",1,"int((4*b + x^3)/((b + x^3)*(a*x^4 - b - x^3)^(1/4)), x)","F"
885,0,-1,67,0.000000,"\text{Not used}","int(-(4*b + a*x^5)/((b - a*x^5)*(a*x^5 - b + c*x^4)^(1/4)),x)","\int -\frac{a\,x^5+4\,b}{\left(b-a\,x^5\right)\,{\left(a\,x^5+c\,x^4-b\right)}^{1/4}} \,d x","Not used",1,"int(-(4*b + a*x^5)/((b - a*x^5)*(a*x^5 - b + c*x^4)^(1/4)), x)","F"
886,0,-1,67,0.000000,"\text{Not used}","int(((4*x^6 + 1)*(x^2 - 2*x^6 + 1)^(1/2))/((2*x^2 - 2*x^6 + 1)*(4*x^2 - 2*x^6 + 1)),x)","\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","Not used",1,"int(((4*x^6 + 1)*(x^2 - 2*x^6 + 1)^(1/2))/((2*x^2 - 2*x^6 + 1)*(4*x^2 - 2*x^6 + 1)), x)","F"
887,0,-1,67,0.000000,"\text{Not used}","int(x^4/((x^4 - 1)^(1/4)*(x^8 - 1)),x)","\int \frac{x^4}{{\left(x^4-1\right)}^{1/4}\,\left(x^8-1\right)} \,d x","Not used",1,"int(x^4/((x^4 - 1)^(1/4)*(x^8 - 1)), x)","F"
888,0,-1,67,0.000000,"\text{Not used}","int(1/((x^4 + 1)^(1/4)*(x^8 - 1)),x)","\int \frac{1}{{\left(x^4+1\right)}^{1/4}\,\left(x^8-1\right)} \,d x","Not used",1,"int(1/((x^4 + 1)^(1/4)*(x^8 - 1)), x)","F"
889,0,-1,67,0.000000,"\text{Not used}","int((2*x^4 - 1)/((x^4 - 1)^(1/4)*(x^8 - 1)),x)","\int \frac{2\,x^4-1}{{\left(x^4-1\right)}^{1/4}\,\left(x^8-1\right)} \,d x","Not used",1,"int((2*x^4 - 1)/((x^4 - 1)^(1/4)*(x^8 - 1)), x)","F"
890,0,-1,67,0.000000,"\text{Not used}","int((x^8 + 1)/((x^4 + 1)^(1/2)*(x^8 - 1)),x)","\int \frac{x^8+1}{\sqrt{x^4+1}\,\left(x^8-1\right)} \,d x","Not used",1,"int((x^8 + 1)/((x^4 + 1)^(1/2)*(x^8 - 1)), x)","F"
891,0,-1,67,0.000000,"\text{Not used}","int((x^12 - 1)/((x^4 + 1)^(1/2)*(x^12 + 1)),x)","\int \frac{x^{12}-1}{\sqrt{x^4+1}\,\left(x^{12}+1\right)} \,d x","Not used",1,"int((x^12 - 1)/((x^4 + 1)^(1/2)*(x^12 + 1)), x)","F"
892,0,-1,67,0.000000,"\text{Not used}","int((x^2 - 1)/((x^2 + 1)^(1/2)*(x + (x^2 + 1)^(1/2))^(1/2)),x)","\int \frac{x^2-1}{\sqrt{x^2+1}\,\sqrt{x+\sqrt{x^2+1}}} \,d x","Not used",1,"int((x^2 - 1)/((x^2 + 1)^(1/2)*(x + (x^2 + 1)^(1/2))^(1/2)), x)","F"
893,0,-1,67,0.000000,"\text{Not used}","int((x^2 + 1)^(1/2)/(x + (x^2 + 1)^(1/2))^(1/2),x)","\int \frac{\sqrt{x^2+1}}{\sqrt{x+\sqrt{x^2+1}}} \,d x","Not used",1,"int((x^2 + 1)^(1/2)/(x + (x^2 + 1)^(1/2))^(1/2), x)","F"
894,0,-1,68,0.000000,"\text{Not used}","int(-1/((b - a^3*x^2)*(a^3*x^3 - b*x^2)^(1/3)),x)","-\int \frac{1}{\left(b-a^3\,x^2\right)\,{\left(a^3\,x^3-b\,x^2\right)}^{1/3}} \,d x","Not used",1,"-int(1/((b - a^3*x^2)*(a^3*x^3 - b*x^2)^(1/3)), x)","F"
895,0,-1,68,0.000000,"\text{Not used}","int(-1/((b - a^3*x^2)*(a^3*x^3 - b*x^2)^(1/3)),x)","-\int \frac{1}{\left(b-a^3\,x^2\right)\,{\left(a^3\,x^3-b\,x^2\right)}^{1/3}} \,d x","Not used",1,"-int(1/((b - a^3*x^2)*(a^3*x^3 - b*x^2)^(1/3)), x)","F"
896,0,-1,68,0.000000,"\text{Not used}","int(1/((a^3*x^3 + b^2*x^2)^(1/3)*(b + a*x^2)),x)","\int \frac{1}{{\left(a^3\,x^3+b^2\,x^2\right)}^{1/3}\,\left(a\,x^2+b\right)} \,d x","Not used",1,"int(1/((a^3*x^3 + b^2*x^2)^(1/3)*(b + a*x^2)), x)","F"
897,0,-1,68,0.000000,"\text{Not used}","int(1/((a^3*x^3 + b^2*x^2)^(1/3)*(b + a*x^2)),x)","\int \frac{1}{{\left(a^3\,x^3+b^2\,x^2\right)}^{1/3}\,\left(a\,x^2+b\right)} \,d x","Not used",1,"int(1/((a^3*x^3 + b^2*x^2)^(1/3)*(b + a*x^2)), x)","F"
898,0,-1,68,0.000000,"\text{Not used}","int(x^7*(x^4 - x)^(1/4),x)","\int x^7\,{\left(x^4-x\right)}^{1/4} \,d x","Not used",1,"int(x^7*(x^4 - x)^(1/4), x)","F"
899,0,-1,68,0.000000,"\text{Not used}","int(((x^2 + 2)*(x^2 + x^4 + 1)*(x^4 - x^2 - 1)^(1/4))/(x^6*(x^2 + 1)),x)","\int \frac{\left(x^2+2\right)\,\left(x^4+x^2+1\right)\,{\left(x^4-x^2-1\right)}^{1/4}}{x^6\,\left(x^2+1\right)} \,d x","Not used",1,"int(((x^2 + 2)*(x^2 + x^4 + 1)*(x^4 - x^2 - 1)^(1/4))/(x^6*(x^2 + 1)), x)","F"
900,0,-1,68,0.000000,"\text{Not used}","int((x^3 + x^4)^(1/4)/(x^2*(x^2 - 1)),x)","-\int \frac{{\left(x^4+x^3\right)}^{1/4}}{x^2-x^4} \,d x","Not used",1,"-int((x^3 + x^4)^(1/4)/(x^2 - x^4), x)","F"
901,0,-1,68,0.000000,"\text{Not used}","int((b + 2*a*x^4)/(x^2*(b + a*x^4)^(3/4)),x)","\int \frac{2\,a\,x^4+b}{x^2\,{\left(a\,x^4+b\right)}^{3/4}} \,d x","Not used",1,"int((b + 2*a*x^4)/(x^2*(b + a*x^4)^(3/4)), x)","F"
902,0,-1,68,0.000000,"\text{Not used}","int(((x^2 + x^6)^(1/4)*(x^2 + 1))/(x^2*(x^2 - 1)),x)","\int \frac{{\left(x^6+x^2\right)}^{1/4}\,\left(x^2+1\right)}{x^2\,\left(x^2-1\right)} \,d x","Not used",1,"int(((x^2 + x^6)^(1/4)*(x^2 + 1))/(x^2*(x^2 - 1)), x)","F"
903,1,107,68,2.508422,"\text{Not used}","int(((x^3 - 1)^(1/2)*(x^6 - x^3 + 1))/(x^10*(x^3 + 2)),x)","\frac{5\,\sqrt{x^3-1}}{36\,x^6}-\frac{\sqrt{x^3-1}}{3\,x^3}-\frac{\sqrt{x^3-1}}{18\,x^9}+\frac{\ln\left(\frac{\left(\sqrt{x^3-1}-\mathrm{i}\right)\,{\left(\sqrt{x^3-1}+1{}\mathrm{i}\right)}^3}{x^6}\right)\,13{}\mathrm{i}}{48}+\frac{\sqrt{3}\,\ln\left(\frac{6\,\sqrt{x^3-1}-\sqrt{3}\,4{}\mathrm{i}+\sqrt{3}\,x^3\,1{}\mathrm{i}}{x^3+2}\right)\,7{}\mathrm{i}}{48}","Not used",1,"(log((((x^3 - 1)^(1/2) - 1i)*((x^3 - 1)^(1/2) + 1i)^3)/x^6)*13i)/48 + (3^(1/2)*log((3^(1/2)*x^3*1i - 3^(1/2)*4i + 6*(x^3 - 1)^(1/2))/(x^3 + 2))*7i)/48 - (x^3 - 1)^(1/2)/(3*x^3) + (5*(x^3 - 1)^(1/2))/(36*x^6) - (x^3 - 1)^(1/2)/(18*x^9)","B"
904,0,-1,68,0.000000,"\text{Not used}","int((x^2 + x*(x + x^2)^(1/2))^(1/2)/(x*(x + x^2)^(1/2)),x)","\int \frac{\sqrt{x^2+x\,\sqrt{x^2+x}}}{x\,\sqrt{x^2+x}} \,d x","Not used",1,"int((x^2 + x*(x + x^2)^(1/2))^(1/2)/(x*(x + x^2)^(1/2)), x)","F"
905,0,-1,69,0.000000,"\text{Not used}","int(-1/((a^3*x^3 + b^2*x^2)^(1/3)*(b - a*x^2)),x)","-\int \frac{1}{{\left(a^3\,x^3+b^2\,x^2\right)}^{1/3}\,\left(b-a\,x^2\right)} \,d x","Not used",1,"-int(1/((a^3*x^3 + b^2*x^2)^(1/3)*(b - a*x^2)), x)","F"
906,0,-1,69,0.000000,"\text{Not used}","int(-1/((a^3*x^3 + b^2*x^2)^(1/3)*(b - a*x^2)),x)","-\int \frac{1}{{\left(a^3\,x^3+b^2\,x^2\right)}^{1/3}\,\left(b-a\,x^2\right)} \,d x","Not used",1,"-int(1/((a^3*x^3 + b^2*x^2)^(1/3)*(b - a*x^2)), x)","F"
907,1,97,69,4.614032,"\text{Not used}","int(-((a - x)*(b - x)*(3*a*b + x^2 - 2*x*(a + b)))/(x^2*(x*(a - x)*(b - x))^(1/2)*(a*b - d*x^3 + x^2 - x*(a + b))),x)","\sqrt{d}\,\ln\left(\frac{a\,b-a\,x-b\,x+d\,x^3+x^2-2\,\sqrt{d}\,x\,\sqrt{x\,\left(a-x\right)\,\left(b-x\right)}}{a\,x-a\,b+b\,x+d\,x^3-x^2}\right)+\frac{2\,\sqrt{x^3-b\,x^2-a\,x^2+a\,b\,x}}{x^2}","Not used",1,"d^(1/2)*log((a*b - a*x - b*x + d*x^3 + x^2 - 2*d^(1/2)*x*(x*(a - x)*(b - x))^(1/2))/(a*x - a*b + b*x + d*x^3 - x^2)) + (2*(x^3 - b*x^2 - a*x^2 + a*b*x)^(1/2))/x^2","B"
908,0,-1,69,0.000000,"\text{Not used}","int(1/((x^4 - x)^(1/4)*(x^3 + 1)),x)","\int \frac{1}{{\left(x^4-x\right)}^{1/4}\,\left(x^3+1\right)} \,d x","Not used",1,"int(1/((x^4 - x)^(1/4)*(x^3 + 1)), x)","F"
909,0,-1,69,0.000000,"\text{Not used}","int((x*(x^4 - x^2)^(1/2))/(2*x^2 - 3),x)","\int \frac{x\,\sqrt{x^4-x^2}}{2\,x^2-3} \,d x","Not used",1,"int((x*(x^4 - x^2)^(1/2))/(2*x^2 - 3), x)","F"
910,0,-1,69,0.000000,"\text{Not used}","int(((x^4 - 1)*(x^4 + 1)*(x^4 - x^2 - 1)^(1/2))/((x^2 - 2*x^4 + 2)^2*(x^2 + 2*x^4 - 2)),x)","\int \frac{\left(x^4-1\right)\,\left(x^4+1\right)\,\sqrt{x^4-x^2-1}}{{\left(-2\,x^4+x^2+2\right)}^2\,\left(2\,x^4+x^2-2\right)} \,d x","Not used",1,"int(((x^4 - 1)*(x^4 + 1)*(x^4 - x^2 - 1)^(1/2))/((x^2 - 2*x^4 + 2)^2*(x^2 + 2*x^4 - 2)), x)","F"
911,0,-1,69,0.000000,"\text{Not used}","int((b + a*x^2)/((a*x^4 + b*x^2)^(1/4)*(b + a*x^2 + x^4)),x)","\int \frac{a\,x^2+b}{{\left(a\,x^4+b\,x^2\right)}^{1/4}\,\left(x^4+a\,x^2+b\right)} \,d x","Not used",1,"int((b + a*x^2)/((a*x^4 + b*x^2)^(1/4)*(b + a*x^2 + x^4)), x)","F"
912,0,-1,69,0.000000,"\text{Not used}","int((b + a*x^2)/((a*x^4 + b*x^2)^(1/4)*(b + a*x^2 + x^4)),x)","\int \frac{a\,x^2+b}{{\left(a\,x^4+b\,x^2\right)}^{1/4}\,\left(x^4+a\,x^2+b\right)} \,d x","Not used",1,"int((b + a*x^2)/((a*x^4 + b*x^2)^(1/4)*(b + a*x^2 + x^4)), x)","F"
913,0,-1,69,0.000000,"\text{Not used}","int(-((b^2 + a^2*x^4)^(1/2)*(b - a*x^2))/(x^2*(b + a*x^2)),x)","\int -\frac{\sqrt{a^2\,x^4+b^2}\,\left(b-a\,x^2\right)}{x^2\,\left(a\,x^2+b\right)} \,d x","Not used",1,"int(-((b^2 + a^2*x^4)^(1/2)*(b - a*x^2))/(x^2*(b + a*x^2)), x)","F"
914,0,-1,69,0.000000,"\text{Not used}","int((4*b + a*x^3)/((b + a*x^3)*(c*x^4 - a*x^3 - b)^(1/4)),x)","\int \frac{a\,x^3+4\,b}{\left(a\,x^3+b\right)\,{\left(c\,x^4-a\,x^3-b\right)}^{1/4}} \,d x","Not used",1,"int((4*b + a*x^3)/((b + a*x^3)*(c*x^4 - a*x^3 - b)^(1/4)), x)","F"
915,0,-1,69,0.000000,"\text{Not used}","int(((x^4 + 1)*(x^4 - 3)*(x^3 + x^4 + 1))/(x^6*(x + x^5)^(1/4)*(x^4 - x^3 + 1)),x)","\int \frac{\left(x^4+1\right)\,\left(x^4-3\right)\,\left(x^4+x^3+1\right)}{x^6\,{\left(x^5+x\right)}^{1/4}\,\left(x^4-x^3+1\right)} \,d x","Not used",1,"int(((x^4 + 1)*(x^4 - 3)*(x^3 + x^4 + 1))/(x^6*(x + x^5)^(1/4)*(x^4 - x^3 + 1)), x)","F"
916,0,-1,69,0.000000,"\text{Not used}","int(((x^4 - 3)*(2*x^4 + x^6 + x^8 + 1))/(x^6*(x + x^5)^(1/4)*(x^4 - x^3 + 1)),x)","\int \frac{\left(x^4-3\right)\,\left(x^8+x^6+2\,x^4+1\right)}{x^6\,{\left(x^5+x\right)}^{1/4}\,\left(x^4-x^3+1\right)} \,d x","Not used",1,"int(((x^4 - 3)*(2*x^4 + x^6 + x^8 + 1))/(x^6*(x + x^5)^(1/4)*(x^4 - x^3 + 1)), x)","F"
917,1,50,70,0.839032,"\text{Not used}","int((b + a*x^3)^(3/4)/x,x)","\frac{2\,b^{3/4}\,\mathrm{atan}\left(\frac{{\left(a\,x^3+b\right)}^{1/4}}{b^{1/4}}\right)}{3}-\frac{2\,b^{3/4}\,\mathrm{atanh}\left(\frac{{\left(a\,x^3+b\right)}^{1/4}}{b^{1/4}}\right)}{3}+\frac{4\,{\left(a\,x^3+b\right)}^{3/4}}{9}","Not used",1,"(2*b^(3/4)*atan((b + a*x^3)^(1/4)/b^(1/4)))/3 - (2*b^(3/4)*atanh((b + a*x^3)^(1/4)/b^(1/4)))/3 + (4*(b + a*x^3)^(3/4))/9","B"
918,1,41,70,1.028479,"\text{Not used}","int((3*x + 3*x^4 + 1)/(x*(x^4 + 1)^(1/4)),x)","\frac{\mathrm{atan}\left({\left(x^4+1\right)}^{1/4}\right)}{2}-\frac{\mathrm{atanh}\left({\left(x^4+1\right)}^{1/4}\right)}{2}+3\,x\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{1}{4};\ \frac{5}{4};\ -x^4\right)+{\left(x^4+1\right)}^{3/4}","Not used",1,"atan((x^4 + 1)^(1/4))/2 - atanh((x^4 + 1)^(1/4))/2 + 3*x*hypergeom([1/4, 1/4], 5/4, -x^4) + (x^4 + 1)^(3/4)","B"
919,1,50,70,0.812977,"\text{Not used}","int((b + a*x^4)^(3/4)/x,x)","\frac{b^{3/4}\,\mathrm{atan}\left(\frac{{\left(a\,x^4+b\right)}^{1/4}}{b^{1/4}}\right)}{2}-\frac{b^{3/4}\,\mathrm{atanh}\left(\frac{{\left(a\,x^4+b\right)}^{1/4}}{b^{1/4}}\right)}{2}+\frac{{\left(a\,x^4+b\right)}^{3/4}}{3}","Not used",1,"(b^(3/4)*atan((b + a*x^4)^(1/4)/b^(1/4)))/2 - (b^(3/4)*atanh((b + a*x^4)^(1/4)/b^(1/4)))/2 + (b + a*x^4)^(3/4)/3","B"
920,0,-1,70,0.000000,"\text{Not used}","int((x^2 - 1)/((x^2 + 1)*(a + b*x + a*x^4 + b*x^3 + c*x^2)^(1/2)),x)","\int \frac{x^2-1}{\left(x^2+1\right)\,\sqrt{a\,x^4+b\,x^3+c\,x^2+b\,x+a}} \,d x","Not used",1,"int((x^2 - 1)/((x^2 + 1)*(a + b*x + a*x^4 + b*x^3 + c*x^2)^(1/2)), x)","F"
921,0,-1,70,0.000000,"\text{Not used}","int(-((b^2 + a^2*x^4)^(1/2)*(b + a*x^2))/(x^2*(b - a*x^2)),x)","-\int \frac{\sqrt{a^2\,x^4+b^2}\,\left(a\,x^2+b\right)}{x^2\,\left(b-a\,x^2\right)} \,d x","Not used",1,"-int(((b^2 + a^2*x^4)^(1/2)*(b + a*x^2))/(x^2*(b - a*x^2)), x)","F"
922,1,50,70,0.878135,"\text{Not used}","int((b + a*x^5)^(3/4)/x,x)","\frac{2\,b^{3/4}\,\mathrm{atan}\left(\frac{{\left(a\,x^5+b\right)}^{1/4}}{b^{1/4}}\right)}{5}-\frac{2\,b^{3/4}\,\mathrm{atanh}\left(\frac{{\left(a\,x^5+b\right)}^{1/4}}{b^{1/4}}\right)}{5}+\frac{4\,{\left(a\,x^5+b\right)}^{3/4}}{15}","Not used",1,"(2*b^(3/4)*atan((b + a*x^5)^(1/4)/b^(1/4)))/5 - (2*b^(3/4)*atanh((b + a*x^5)^(1/4)/b^(1/4)))/5 + (4*(b + a*x^5)^(3/4))/15","B"
923,0,-1,70,0.000000,"\text{Not used}","int(((2*x^5 + 3)*(x - 2*x^4 - x^6)^(1/2))/(x^5 - 1)^2,x)","\int \frac{\left(2\,x^5+3\right)\,\sqrt{-x^6-2\,x^4+x}}{{\left(x^5-1\right)}^2} \,d x","Not used",1,"int(((2*x^5 + 3)*(x - 2*x^4 - x^6)^(1/2))/(x^5 - 1)^2, x)","F"
924,0,-1,70,0.000000,"\text{Not used}","int(((x^6 + 1)*(x^6 - 2)*(x^6 - x^4 + 1)^(1/4))/(x^6*(x^6 - 2*x^4 + 1)),x)","\int \frac{\left(x^6+1\right)\,\left(x^6-2\right)\,{\left(x^6-x^4+1\right)}^{1/4}}{x^6\,\left(x^6-2\,x^4+1\right)} \,d x","Not used",1,"int(((x^6 + 1)*(x^6 - 2)*(x^6 - x^4 + 1)^(1/4))/(x^6*(x^6 - 2*x^4 + 1)), x)","F"
925,1,50,70,0.833745,"\text{Not used}","int((b + a*x^6)^(3/4)/x,x)","\frac{b^{3/4}\,\mathrm{atan}\left(\frac{{\left(a\,x^6+b\right)}^{1/4}}{b^{1/4}}\right)}{3}-\frac{b^{3/4}\,\mathrm{atanh}\left(\frac{{\left(a\,x^6+b\right)}^{1/4}}{b^{1/4}}\right)}{3}+\frac{2\,{\left(a\,x^6+b\right)}^{3/4}}{9}","Not used",1,"(b^(3/4)*atan((b + a*x^6)^(1/4)/b^(1/4)))/3 - (b^(3/4)*atanh((b + a*x^6)^(1/4)/b^(1/4)))/3 + (2*(b + a*x^6)^(3/4))/9","B"
926,0,-1,70,0.000000,"\text{Not used}","int((x + 1)^(1/2)/(x + (x + 1)^(1/2))^(1/2),x)","\int \frac{\sqrt{x+1}}{\sqrt{x+\sqrt{x+1}}} \,d x","Not used",1,"int((x + 1)^(1/2)/(x + (x + 1)^(1/2))^(1/2), x)","F"
927,0,-1,70,0.000000,"\text{Not used}","int((x + (x + 1)^(1/2))^(1/2)/(x + 1)^(1/2),x)","\int \frac{\sqrt{x+\sqrt{x+1}}}{\sqrt{x+1}} \,d x","Not used",1,"int((x + (x + 1)^(1/2))^(1/2)/(x + 1)^(1/2), x)","F"
928,0,-1,70,0.000000,"\text{Not used}","int(((x^2 - 1)*((x^2 + 1)^(1/2) + 1)^(1/2))/(x^2 + 1),x)","\int \frac{\left(x^2-1\right)\,\sqrt{\sqrt{x^2+1}+1}}{x^2+1} \,d x","Not used",1,"int(((x^2 - 1)*((x^2 + 1)^(1/2) + 1)^(1/2))/(x^2 + 1), x)","F"
929,0,-1,70,0.000000,"\text{Not used}","int(1/((x^4 + 1)^(1/2) + x^2)^(1/2),x)","\int \frac{1}{\sqrt{\sqrt{x^4+1}+x^2}} \,d x","Not used",1,"int(1/((x^4 + 1)^(1/2) + x^2)^(1/2), x)","F"
930,0,-1,70,0.000000,"\text{Not used}","int(((x^4 + 1)^(1/2) + x^2)^(1/2)/x^2,x)","\int \frac{\sqrt{\sqrt{x^4+1}+x^2}}{x^2} \,d x","Not used",1,"int(((x^4 + 1)^(1/2) + x^2)^(1/2)/x^2, x)","F"
931,1,96,71,1.956120,"\text{Not used}","int(1/(((x - 1)^(1/2) + 2*x^(1/2))^2*(x - 1)^(1/2)),x)","\frac{4\,\sqrt{x}}{3\,\left(3\,x+1\right)}-\frac{2\,\sqrt{x-1}}{3\,\left(3\,x+1\right)}+\frac{\sqrt{3}\,\ln\left(\frac{12\,\sqrt{x-1}-\sqrt{3}\,x\,3{}\mathrm{i}+\sqrt{3}\,7{}\mathrm{i}}{3\,x+1}\right)\,2{}\mathrm{i}}{9}+\frac{\sqrt{3}\,\ln\left(\frac{\sqrt{3}-3\,\sqrt{3}\,x+\sqrt{x}\,6{}\mathrm{i}}{x\,3{}\mathrm{i}+1{}\mathrm{i}}\right)\,2{}\mathrm{i}}{9}","Not used",1,"(3^(1/2)*log((12*(x - 1)^(1/2) - 3^(1/2)*x*3i + 3^(1/2)*7i)/(3*x + 1))*2i)/9 - (2*(x - 1)^(1/2))/(3*(3*x + 1)) + (3^(1/2)*log((3^(1/2) - 3*3^(1/2)*x + x^(1/2)*6i)/(x*3i + 1i))*2i)/9 + (4*x^(1/2))/(3*(3*x + 1))","B"
932,0,-1,71,0.000000,"\text{Not used}","int(1/((x^2 - 1)^(1/2)*(3*x^2 - 4)^2),x)","\int \frac{1}{\sqrt{x^2-1}\,{\left(3\,x^2-4\right)}^2} \,d x","Not used",1,"int(1/((x^2 - 1)^(1/2)*(3*x^2 - 4)^2), x)","F"
933,1,74,71,0.898722,"\text{Not used}","int(1/(x*(x^3 + 1)^(1/3)),x)","\frac{\ln\left({\left(x^3+1\right)}^{1/3}-1\right)}{3}+\ln\left({\left(x^3+1\right)}^{1/3}-9\,{\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}^2\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)-\ln\left({\left(x^3+1\right)}^{1/3}-9\,{\left(\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}^2\right)\,\left(\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)","Not used",1,"log((x^3 + 1)^(1/3) - 1)/3 + log((x^3 + 1)^(1/3) - 9*((3^(1/2)*1i)/6 - 1/6)^2)*((3^(1/2)*1i)/6 - 1/6) - log((x^3 + 1)^(1/3) - 9*((3^(1/2)*1i)/6 + 1/6)^2)*((3^(1/2)*1i)/6 + 1/6)","B"
934,0,-1,71,0.000000,"\text{Not used}","int((x^2*(k*x^2 - 2*x*(k + 1) + 3))/((x*(k*x - 1)*(x - 1))^(3/4)*(d*x^3 + x*(k + 1) - k*x^2 - 1)),x)","\int \frac{x^2\,\left(k\,x^2-2\,x\,\left(k+1\right)+3\right)}{{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{3/4}\,\left(d\,x^3-k\,x^2+\left(k+1\right)\,x-1\right)} \,d x","Not used",1,"int((x^2*(k*x^2 - 2*x*(k + 1) + 3))/((x*(k*x - 1)*(x - 1))^(3/4)*(d*x^3 + x*(k + 1) - k*x^2 - 1)), x)","F"
935,0,-1,71,0.000000,"\text{Not used}","int(-(b - a*x^2)/((a*x^4 - b*x^2)^(1/4)*(a*x^2 - b + x^4)),x)","\int -\frac{b-a\,x^2}{{\left(a\,x^4-b\,x^2\right)}^{1/4}\,\left(x^4+a\,x^2-b\right)} \,d x","Not used",1,"int(-(b - a*x^2)/((a*x^4 - b*x^2)^(1/4)*(a*x^2 - b + x^4)), x)","F"
936,0,-1,71,0.000000,"\text{Not used}","int(-(b - a*x^2)/((a*x^4 - b*x^2)^(1/4)*(a*x^2 - b + x^4)),x)","\int -\frac{b-a\,x^2}{{\left(a\,x^4-b\,x^2\right)}^{1/4}\,\left(x^4+a\,x^2-b\right)} \,d x","Not used",1,"int(-(b - a*x^2)/((a*x^4 - b*x^2)^(1/4)*(a*x^2 - b + x^4)), x)","F"
937,0,-1,71,0.000000,"\text{Not used}","int((x^3 - x)^(1/3)/(b + a*x^6),x)","\int \frac{{\left(x^3-x\right)}^{1/3}}{a\,x^6+b} \,d x","Not used",1,"int((x^3 - x)^(1/3)/(b + a*x^6), x)","F"
938,0,-1,71,0.000000,"\text{Not used}","int((x^3 - x)^(1/3)/(b + a*x^6),x)","\int \frac{{\left(x^3-x\right)}^{1/3}}{a\,x^6+b} \,d x","Not used",1,"int((x^3 - x)^(1/3)/(b + a*x^6), x)","F"
939,0,-1,71,0.000000,"\text{Not used}","int(-((b + a*x^6)^(3/4)*(2*b - a*x^6))/(x^4*(b + a*x^6 - c*x^4)),x)","\int -\frac{{\left(a\,x^6+b\right)}^{3/4}\,\left(2\,b-a\,x^6\right)}{x^4\,\left(a\,x^6-c\,x^4+b\right)} \,d x","Not used",1,"int(-((b + a*x^6)^(3/4)*(2*b - a*x^6))/(x^4*(b + a*x^6 - c*x^4)), x)","F"
940,0,-1,71,0.000000,"\text{Not used}","int(-(b + a*x^8)/((b - a*x^8)*(a*x^8 - b + c*x^4)^(1/4)),x)","\int -\frac{a\,x^8+b}{\left(b-a\,x^8\right)\,{\left(a\,x^8+c\,x^4-b\right)}^{1/4}} \,d x","Not used",1,"int(-(b + a*x^8)/((b - a*x^8)*(a*x^8 - b + c*x^4)^(1/4)), x)","F"
941,1,173,71,12.785204,"\text{Not used}","int(((x^5 + 1)^(1/2)*(3*x^5 - 2))/(x^4 + 2*x^5 + x^10 + 1),x)","\frac{{\left(-1\right)}^{1/4}\,\ln\left(2\,x^5-x^4+x^{10}+1-x^2\,2{}\mathrm{i}-x^7\,2{}\mathrm{i}+\sqrt{2}\,x^3\,\sqrt{x^5+1}\,\left(1+1{}\mathrm{i}\right)+\sqrt{2}\,x\,{\left(x^5+1\right)}^{3/2}\,\left(-1+1{}\mathrm{i}\right)\right)}{2}-\frac{{\left(-1\right)}^{1/4}\,\ln\left(x^{10}+2\,x^5+x^4+1\right)}{2}+\sqrt{2}\,\ln\left(2\,x^5-x^4+x^{10}+1+x^2\,2{}\mathrm{i}+x^7\,2{}\mathrm{i}+\sqrt{2}\,x^3\,\sqrt{x^5+1}\,\left(1-\mathrm{i}\right)+\sqrt{2}\,x\,{\left(x^5+1\right)}^{3/2}\,\left(-1-\mathrm{i}\right)\right)\,\left(\frac{1}{4}-\frac{1}{4}{}\mathrm{i}\right)+\sqrt{2}\,\ln\left(x^{10}+2\,x^5+x^4+1\right)\,\left(-\frac{1}{4}+\frac{1}{4}{}\mathrm{i}\right)","Not used",1,"2^(1/2)*log(x^2*2i - x^4 + 2*x^5 + x^7*2i + x^10 + 2^(1/2)*x^3*(x^5 + 1)^(1/2)*(1 - 1i) - 2^(1/2)*x*(x^5 + 1)^(3/2)*(1 + 1i) + 1)*(1/4 - 1i/4) + ((-1)^(1/4)*log(2*x^5 - x^4 - x^2*2i - x^7*2i + x^10 + 2^(1/2)*x^3*(x^5 + 1)^(1/2)*(1 + 1i) - 2^(1/2)*x*(x^5 + 1)^(3/2)*(1 - 1i) + 1))/2 - 2^(1/2)*log(x^4 + 2*x^5 + x^10 + 1)*(1/4 - 1i/4) - ((-1)^(1/4)*log(x^4 + 2*x^5 + x^10 + 1))/2","B"
942,1,204,71,0.209854,"\text{Not used}","int(1/(2*x + (x^2 + 1)^(1/2))^2,x)","\frac{\sqrt{3}\,\left(\ln\left(x-\frac{\sqrt{3}}{3}\right)-\ln\left(x+\sqrt{3}+2\,\sqrt{x^2+1}\right)\right)}{18}-\frac{4\,x}{9\,\left(x^2-\frac{1}{3}\right)}+\frac{\sqrt{3}\,\left(\ln\left(x+\frac{\sqrt{3}}{3}\right)-\ln\left(x-\sqrt{3}-2\,\sqrt{x^2+1}\right)\right)}{18}-\frac{\sqrt{3}\,\left(6\,\ln\left(x-\frac{\sqrt{3}}{3}\right)-6\,\ln\left(x+\sqrt{3}+2\,\sqrt{x^2+1}\right)\right)}{54}-\frac{\sqrt{3}\,\left(6\,\ln\left(x+\frac{\sqrt{3}}{3}\right)-6\,\ln\left(x-\sqrt{3}-2\,\sqrt{x^2+1}\right)\right)}{54}+\frac{\sqrt{3}\,\sqrt{x^2+1}}{9\,\left(x-\frac{\sqrt{3}}{3}\right)}-\frac{\sqrt{3}\,\sqrt{x^2+1}}{9\,\left(x+\frac{\sqrt{3}}{3}\right)}+\frac{\sqrt{3}\,\mathrm{atan}\left(\sqrt{3}\,x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{9}","Not used",1,"(3^(1/2)*(log(x - 3^(1/2)/3) - log(x + 3^(1/2) + 2*(x^2 + 1)^(1/2))))/18 + (3^(1/2)*atan(3^(1/2)*x*1i)*1i)/9 - (4*x)/(9*(x^2 - 1/3)) + (3^(1/2)*(log(x + 3^(1/2)/3) - log(x - 3^(1/2) - 2*(x^2 + 1)^(1/2))))/18 - (3^(1/2)*(6*log(x - 3^(1/2)/3) - 6*log(x + 3^(1/2) + 2*(x^2 + 1)^(1/2))))/54 - (3^(1/2)*(6*log(x + 3^(1/2)/3) - 6*log(x - 3^(1/2) - 2*(x^2 + 1)^(1/2))))/54 + (3^(1/2)*(x^2 + 1)^(1/2))/(9*(x - 3^(1/2)/3)) - (3^(1/2)*(x^2 + 1)^(1/2))/(9*(x + 3^(1/2)/3))","B"
943,0,-1,71,0.000000,"\text{Not used}","int((x*(a^2*x^2 - b)^(1/2) + a*x^2)^(1/2)/(x*(a^2*x^2 - b)^(1/2)),x)","\int \frac{\sqrt{x\,\sqrt{a^2\,x^2-b}+a\,x^2}}{x\,\sqrt{a^2\,x^2-b}} \,d x","Not used",1,"int((x*(a^2*x^2 - b)^(1/2) + a*x^2)^(1/2)/(x*(a^2*x^2 - b)^(1/2)), x)","F"
944,0,-1,71,0.000000,"\text{Not used}","int(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)/(x^2 + 1),x)","\int \frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}}{x^2+1} \,d x","Not used",1,"int(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)/(x^2 + 1), x)","F"
945,0,-1,71,0.000000,"\text{Not used}","int(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)/(x^2 + 1),x)","\int \frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}}{x^2+1} \,d x","Not used",1,"int(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)/(x^2 + 1), x)","F"
946,0,-1,72,0.000000,"\text{Not used}","int((2*x + x^2 + 1)^(1/3)/(x + x^2 + x^3 + 4),x)","\int \frac{{\left(x^2+2\,x+1\right)}^{1/3}}{x^3+x^2+x+4} \,d x","Not used",1,"int((2*x + x^2 + 1)^(1/3)/(x + x^2 + x^3 + 4), x)","F"
947,0,-1,72,0.000000,"\text{Not used}","int(((x^2 - 1)*(x^4 + 1)^(1/2))/((x^2 - x + 1)*(x + x^2 + 1)^2),x)","\int \frac{\left(x^2-1\right)\,\sqrt{x^4+1}}{\left(x^2-x+1\right)\,{\left(x^2+x+1\right)}^2} \,d x","Not used",1,"int(((x^2 - 1)*(x^4 + 1)^(1/2))/((x^2 - x + 1)*(x + x^2 + 1)^2), x)","F"
948,0,-1,72,0.000000,"\text{Not used}","int(x^4*(x^4 - x^2)^(1/4),x)","\int x^4\,{\left(x^4-x^2\right)}^{1/4} \,d x","Not used",1,"int(x^4*(x^4 - x^2)^(1/4), x)","F"
949,0,-1,72,0.000000,"\text{Not used}","int((x^4*(x^3 + x^4)^(1/4))/(x + 1),x)","\int \frac{x^4\,{\left(x^4+x^3\right)}^{1/4}}{x+1} \,d x","Not used",1,"int((x^4*(x^3 + x^4)^(1/4))/(x + 1), x)","F"
950,0,-1,72,0.000000,"\text{Not used}","int(((4*b + a*x^3)*(b + a*x^3 - x^4))/(x^4*(b + a*x^3)^(1/4)*(b + a*x^3 - 2*x^4)),x)","\int \frac{\left(a\,x^3+4\,b\right)\,\left(-x^4+a\,x^3+b\right)}{x^4\,{\left(a\,x^3+b\right)}^{1/4}\,\left(-2\,x^4+a\,x^3+b\right)} \,d x","Not used",1,"int(((4*b + a*x^3)*(b + a*x^3 - x^4))/(x^4*(b + a*x^3)^(1/4)*(b + a*x^3 - 2*x^4)), x)","F"
951,0,-1,72,0.000000,"\text{Not used}","int((b + a*x^2)/((b + a*x^4)*(a*x^4 + b*x^2)^(1/4)),x)","\int \frac{a\,x^2+b}{\left(a\,x^4+b\right)\,{\left(a\,x^4+b\,x^2\right)}^{1/4}} \,d x","Not used",1,"int((b + a*x^2)/((b + a*x^4)*(a*x^4 + b*x^2)^(1/4)), x)","F"
952,0,-1,72,0.000000,"\text{Not used}","int((b + a*x^2)/((b + a*x^4)*(a*x^4 + b*x^2)^(1/4)),x)","\int \frac{a\,x^2+b}{\left(a\,x^4+b\right)\,{\left(a\,x^4+b\,x^2\right)}^{1/4}} \,d x","Not used",1,"int((b + a*x^2)/((b + a*x^4)*(a*x^4 + b*x^2)^(1/4)), x)","F"
953,0,-1,72,0.000000,"\text{Not used}","int(-(x - 1)/(2*x - 5*x^2 - 4*x^3 + x^4 + 2*x^5 + x^6 + 3)^(1/2),x)","\int -\frac{x-1}{\sqrt{x^6+2\,x^5+x^4-4\,x^3-5\,x^2+2\,x+3}} \,d x","Not used",1,"int(-(x - 1)/(2*x - 5*x^2 - 4*x^3 + x^4 + 2*x^5 + x^6 + 3)^(1/2), x)","F"
954,0,-1,72,0.000000,"\text{Not used}","int(((3*x^4 - 1)*(x^2 + 2*x^4 + x^8 + 1)^(1/2))/((x^4 - x + 1)^2*(x + x^4 + 1)),x)","\int \frac{\left(3\,x^4-1\right)\,\sqrt{x^8+2\,x^4+x^2+1}}{{\left(x^4-x+1\right)}^2\,\left(x^4+x+1\right)} \,d x","Not used",1,"int(((3*x^4 - 1)*(x^2 + 2*x^4 + x^8 + 1)^(1/2))/((x^4 - x + 1)^2*(x + x^4 + 1)), x)","F"
955,1,63,73,0.117010,"\text{Not used}","int((c + b*x + a*x^2)^(1/2),x)","\left(\frac{x}{2}+\frac{b}{4\,a}\right)\,\sqrt{a\,x^2+b\,x+c}+\frac{\ln\left(\frac{\frac{b}{2}+a\,x}{\sqrt{a}}+\sqrt{a\,x^2+b\,x+c}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,a^{3/2}}","Not used",1,"(x/2 + b/(4*a))*(c + b*x + a*x^2)^(1/2) + (log((b/2 + a*x)/a^(1/2) + (c + b*x + a*x^2)^(1/2))*(a*c - b^2/4))/(2*a^(3/2))","B"
956,1,102,73,0.108274,"\text{Not used}","int(-(x - 1)/((x^3 - x)^(1/2)*(2*x - x^2 + 1)),x)","\frac{\sqrt{-x}\,\sqrt{1-x}\,\sqrt{x+1}\,\Pi \left(-\frac{1}{\sqrt{2}+1};\mathrm{asin}\left(\sqrt{-x}\right)\middle|-1\right)}{\sqrt{x^3-x}\,\left(\sqrt{2}+1\right)}-\frac{\sqrt{-x}\,\sqrt{1-x}\,\sqrt{x+1}\,\Pi \left(\frac{1}{\sqrt{2}-1};\mathrm{asin}\left(\sqrt{-x}\right)\middle|-1\right)}{\sqrt{x^3-x}\,\left(\sqrt{2}-1\right)}","Not used",1,"((-x)^(1/2)*(1 - x)^(1/2)*(x + 1)^(1/2)*ellipticPi(-1/(2^(1/2) + 1), asin((-x)^(1/2)), -1))/((x^3 - x)^(1/2)*(2^(1/2) + 1)) - ((-x)^(1/2)*(1 - x)^(1/2)*(x + 1)^(1/2)*ellipticPi(1/(2^(1/2) - 1), asin((-x)^(1/2)), -1))/((x^3 - x)^(1/2)*(2^(1/2) - 1))","B"
957,1,159,73,0.071855,"\text{Not used}","int(-(3*x + x^2 - 2)/((x^3 - x)^(1/2)*(2*x - x^2 + 1)),x)","\frac{\sqrt{2}\,\sqrt{-x}\,\left(5\,\sqrt{2}+4\right)\,\sqrt{1-x}\,\sqrt{x+1}\,\Pi \left(-\frac{1}{\sqrt{2}+1};\mathrm{asin}\left(\sqrt{-x}\right)\middle|-1\right)}{2\,\sqrt{x^3-x}\,\left(\sqrt{2}+1\right)}-\frac{\sqrt{2}\,\sqrt{-x}\,\left(5\,\sqrt{2}-4\right)\,\sqrt{1-x}\,\sqrt{x+1}\,\Pi \left(\frac{1}{\sqrt{2}-1};\mathrm{asin}\left(\sqrt{-x}\right)\middle|-1\right)}{2\,\sqrt{x^3-x}\,\left(\sqrt{2}-1\right)}-\frac{2\,\sqrt{-x}\,\sqrt{1-x}\,\sqrt{x+1}\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{-x}\right)\middle|-1\right)}{\sqrt{x^3-x}}","Not used",1,"(2^(1/2)*(-x)^(1/2)*(5*2^(1/2) + 4)*(1 - x)^(1/2)*(x + 1)^(1/2)*ellipticPi(-1/(2^(1/2) + 1), asin((-x)^(1/2)), -1))/(2*(x^3 - x)^(1/2)*(2^(1/2) + 1)) - (2^(1/2)*(-x)^(1/2)*(5*2^(1/2) - 4)*(1 - x)^(1/2)*(x + 1)^(1/2)*ellipticPi(1/(2^(1/2) - 1), asin((-x)^(1/2)), -1))/(2*(x^3 - x)^(1/2)*(2^(1/2) - 1)) - (2*(-x)^(1/2)*(1 - x)^(1/2)*(x + 1)^(1/2)*ellipticF(asin((-x)^(1/2)), -1))/(x^3 - x)^(1/2)","B"
958,0,-1,73,0.000000,"\text{Not used}","int((x*(x^2 - 3))/((x^2 - 1)^(2/3)*(x^3 - x^2 + 1)),x)","\int \frac{x\,\left(x^2-3\right)}{{\left(x^2-1\right)}^{2/3}\,\left(x^3-x^2+1\right)} \,d x","Not used",1,"int((x*(x^2 - 3))/((x^2 - 1)^(2/3)*(x^3 - x^2 + 1)), x)","F"
959,0,-1,73,0.000000,"\text{Not used}","int(x^2*(x^4 - x^3)^(1/4),x)","\int x^2\,{\left(x^4-x^3\right)}^{1/4} \,d x","Not used",1,"int(x^2*(x^4 - x^3)^(1/4), x)","F"
960,1,81,73,3.473146,"\text{Not used}","int(((x^4 + 3)*(x + x^4 - x^5)^(1/2))/((x^4 - 1)*(x^3 + x^4 - 1)),x)","\ln\left(\frac{2\,x\,\sqrt{-x^5+x^4+x}-2\,x^3+x^4-1}{x^4-1}\right)+\sqrt{2}\,\ln\left(\frac{3\,x^3-x^4+2\,\sqrt{2}\,x\,\sqrt{-x^5+x^4+x}+1}{x^4+x^3-1}\right)","Not used",1,"log((2*x*(x + x^4 - x^5)^(1/2) - 2*x^3 + x^4 - 1)/(x^4 - 1)) + 2^(1/2)*log((3*x^3 - x^4 + 2*2^(1/2)*x*(x + x^4 - x^5)^(1/2) + 1)/(x^3 + x^4 - 1))","B"
961,1,119,73,4.363702,"\text{Not used}","int(-((b*x + a*x^3)^(1/2)*(b - a*x^2))/(b^2*x + 2*x^3*(a*b - 1) + a^2*x^5),x)","\frac{2^{3/4}\,\ln\left(\frac{2^{3/4}\,b+2\,2^{1/4}\,x-4\,\sqrt{x\,\left(a\,x^2+b\right)}+2^{3/4}\,a\,x^2}{4\,a\,x^2-4\,\sqrt{2}\,x+4\,b}\right)}{4}+\frac{2^{3/4}\,\ln\left(\frac{2^{3/4}\,b\,1{}\mathrm{i}-2^{1/4}\,x\,2{}\mathrm{i}-4\,\sqrt{x\,\left(a\,x^2+b\right)}+2^{3/4}\,a\,x^2\,1{}\mathrm{i}}{a\,x^2+\sqrt{2}\,x+b}\right)\,1{}\mathrm{i}}{4}","Not used",1,"(2^(3/4)*log((2^(3/4)*b*1i - 2^(1/4)*x*2i - 4*(x*(b + a*x^2))^(1/2) + 2^(3/4)*a*x^2*1i)/(b + 2^(1/2)*x + a*x^2))*1i)/4 + (2^(3/4)*log((2^(3/4)*b + 2*2^(1/4)*x - 4*(x*(b + a*x^2))^(1/2) + 2^(3/4)*a*x^2)/(4*b - 4*2^(1/2)*x + 4*a*x^2)))/4","B"
962,0,-1,73,0.000000,"\text{Not used}","int(((x^3 + 1)^(2/3)*(x^3 - 2))/(x^3*(x^3 + x^6 + 2)),x)","\int \frac{{\left(x^3+1\right)}^{2/3}\,\left(x^3-2\right)}{x^3\,\left(x^6+x^3+2\right)} \,d x","Not used",1,"int(((x^3 + 1)^(2/3)*(x^3 - 2))/(x^3*(x^3 + x^6 + 2)), x)","F"
963,0,-1,73,0.000000,"\text{Not used}","int(((x^3 + 1)^(2/3)*(x^3 - 2))/(x^3*(x^3 + x^6 + 2)),x)","\int \frac{{\left(x^3+1\right)}^{2/3}\,\left(x^3-2\right)}{x^3\,\left(x^6+x^3+2\right)} \,d x","Not used",1,"int(((x^3 + 1)^(2/3)*(x^3 - 2))/(x^3*(x^3 + x^6 + 2)), x)","F"
964,0,-1,73,0.000000,"\text{Not used}","int(((2*x^5 - 3)*(x + 2*x^4 + x^6)^(1/2))/((x^5 + 1)*(x^3 + x^5 + 1)),x)","\int \frac{\left(2\,x^5-3\right)\,\sqrt{x^6+2\,x^4+x}}{\left(x^5+1\right)\,\left(x^5+x^3+1\right)} \,d x","Not used",1,"int(((2*x^5 - 3)*(x + 2*x^4 + x^6)^(1/2))/((x^5 + 1)*(x^3 + x^5 + 1)), x)","F"
965,0,-1,73,0.000000,"\text{Not used}","int(((x^4 + 2*x^6 + 1)*(x^2 + x^4 + x^6 - 1)^(1/2))/(x^8 - 2*x^6 - x^4 + 2*x^10 + x^12 + 1),x)","\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","Not used",1,"int(((x^4 + 2*x^6 + 1)*(x^2 + x^4 + x^6 - 1)^(1/2))/(x^8 - 2*x^6 - x^4 + 2*x^10 + x^12 + 1), x)","F"
966,0,-1,73,0.000000,"\text{Not used}","int((x^2 - x*(x^2 - x)^(1/2))^(1/2)/x^3,x)","\int \frac{\sqrt{x^2-x\,\sqrt{x^2-x}}}{x^3} \,d x","Not used",1,"int((x^2 - x*(x^2 - x)^(1/2))^(1/2)/x^3, x)","F"
967,1,70,74,0.870992,"\text{Not used}","int(1/(x*(x^2 + 1)^(2/3)),x)","\frac{\ln\left(\frac{9\,{\left(x^2+1\right)}^{1/3}}{4}-\frac{9}{4}\right)}{2}+\ln\left(\frac{9\,{\left(x^2+1\right)}^{1/3}}{2}+\frac{9}{4}-\frac{\sqrt{3}\,9{}\mathrm{i}}{4}\right)\,\left(-\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4}\right)-\ln\left(\frac{9\,{\left(x^2+1\right)}^{1/3}}{2}+\frac{9}{4}+\frac{\sqrt{3}\,9{}\mathrm{i}}{4}\right)\,\left(\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4}\right)","Not used",1,"log((9*(x^2 + 1)^(1/3))/4 - 9/4)/2 + log((9*(x^2 + 1)^(1/3))/2 - (3^(1/2)*9i)/4 + 9/4)*((3^(1/2)*1i)/4 - 1/4) - log((3^(1/2)*9i)/4 + (9*(x^2 + 1)^(1/3))/2 + 9/4)*((3^(1/2)*1i)/4 + 1/4)","B"
968,1,80,74,0.873070,"\text{Not used}","int(1/(x*(x^2 + 1)^(1/3)),x)","\frac{\ln\left(\frac{9\,{\left(x^2+1\right)}^{1/3}}{4}-\frac{9}{4}\right)}{2}+\ln\left(\frac{9\,{\left(x^2+1\right)}^{1/3}}{4}-9\,{\left(-\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4}\right)}^2\right)\,\left(-\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4}\right)-\ln\left(\frac{9\,{\left(x^2+1\right)}^{1/3}}{4}-9\,{\left(\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4}\right)}^2\right)\,\left(\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4}\right)","Not used",1,"log((9*(x^2 + 1)^(1/3))/4 - 9/4)/2 + log((9*(x^2 + 1)^(1/3))/4 - 9*((3^(1/2)*1i)/4 - 1/4)^2)*((3^(1/2)*1i)/4 - 1/4) - log((9*(x^2 + 1)^(1/3))/4 - 9*((3^(1/2)*1i)/4 + 1/4)^2)*((3^(1/2)*1i)/4 + 1/4)","B"
969,0,-1,74,0.000000,"\text{Not used}","int(1/((x^3 - 1)*(x^3 - x^2)^(1/3)),x)","\int \frac{1}{\left(x^3-1\right)\,{\left(x^3-x^2\right)}^{1/3}} \,d x","Not used",1,"int(1/((x^3 - 1)*(x^3 - x^2)^(1/3)), x)","F"
970,0,-1,74,0.000000,"\text{Not used}","int(1/((x^3 - 1)*(x^3 - x^2)^(1/3)),x)","\int \frac{1}{\left(x^3-1\right)\,{\left(x^3-x^2\right)}^{1/3}} \,d x","Not used",1,"int(1/((x^3 - 1)*(x^3 - x^2)^(1/3)), x)","F"
971,1,117,74,1.879286,"\text{Not used}","int(-((x^3 - 1)^(1/2)*(x^3 + 2)*(x^2 - x^3 + 1)^2)/(x^6*(3*x^2 - 2*x^3 + 2)),x)","\frac{x\,\sqrt{x^3-1}}{5}-\frac{\sqrt{x^3-1}}{6}+\frac{\sqrt{x^3-1}}{4\,x}-\frac{2\,\sqrt{x^3-1}}{5\,x^2}+\frac{\sqrt{x^3-1}}{6\,x^3}+\frac{\sqrt{x^3-1}}{5\,x^5}+\frac{\sqrt{2}\,\sqrt{3}\,\ln\left(\frac{3\,x^2+2\,x^3-2\,\sqrt{6}\,x\,\sqrt{x^3-1}-2}{-12\,x^3+18\,x^2+12}\right)}{16}","Not used",1,"(x*(x^3 - 1)^(1/2))/5 - (x^3 - 1)^(1/2)/6 + (x^3 - 1)^(1/2)/(4*x) - (2*(x^3 - 1)^(1/2))/(5*x^2) + (x^3 - 1)^(1/2)/(6*x^3) + (x^3 - 1)^(1/2)/(5*x^5) + (2^(1/2)*3^(1/2)*log((3*x^2 + 2*x^3 - 2*6^(1/2)*x*(x^3 - 1)^(1/2) - 2)/(18*x^2 - 12*x^3 + 12)))/16","B"
972,0,-1,74,0.000000,"\text{Not used}","int(-(3*x - 3*x^2 + x^3 - 1)^(1/4)/(2*x - x^2 - 3*x^3 + 1),x)","-\int \frac{{\left(x^3-3\,x^2+3\,x-1\right)}^{1/4}}{-3\,x^3-x^2+2\,x+1} \,d x","Not used",1,"-int((3*x - 3*x^2 + x^3 - 1)^(1/4)/(2*x - x^2 - 3*x^3 + 1), x)","F"
973,0,-1,74,0.000000,"\text{Not used}","int(((2*x + x^2)*(x + x^2 + 1)*(2*x + x^2 - x^4 + 1)^(1/2))/(x + 1)^4,x)","\int \frac{\left(x^2+2\,x\right)\,\left(x^2+x+1\right)\,\sqrt{-x^4+x^2+2\,x+1}}{{\left(x+1\right)}^4} \,d x","Not used",1,"int(((2*x + x^2)*(x + x^2 + 1)*(2*x + x^2 - x^4 + 1)^(1/2))/(x + 1)^4, x)","F"
974,1,43,74,1.237090,"\text{Not used}","int(-(x - x^4 + 1)/(x*(x^4 + 1)^(1/4)),x)","\frac{\mathrm{atanh}\left({\left(x^4+1\right)}^{1/4}\right)}{2}-\frac{\mathrm{atan}\left({\left(x^4+1\right)}^{1/4}\right)}{2}-x\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{1}{4};\ \frac{5}{4};\ -x^4\right)+\frac{{\left(x^4+1\right)}^{3/4}}{3}","Not used",1,"atanh((x^4 + 1)^(1/4))/2 - atan((x^4 + 1)^(1/4))/2 - x*hypergeom([1/4, 1/4], 5/4, -x^4) + (x^4 + 1)^(3/4)/3","B"
975,0,-1,74,0.000000,"\text{Not used}","int((x^4 - x^3)^(1/4)/(x^2*(x^2 - 1)),x)","-\int \frac{{\left(x^4-x^3\right)}^{1/4}}{x^2-x^4} \,d x","Not used",1,"-int((x^4 - x^3)^(1/4)/(x^2 - x^4), x)","F"
976,0,-1,74,0.000000,"\text{Not used}","int((x^4 - 3)/((x^4 + 1)^(1/3)*(x^4 - x^3 + 1)),x)","\int \frac{x^4-3}{{\left(x^4+1\right)}^{1/3}\,\left(x^4-x^3+1\right)} \,d x","Not used",1,"int((x^4 - 3)/((x^4 + 1)^(1/3)*(x^4 - x^3 + 1)), x)","F"
977,0,-1,74,0.000000,"\text{Not used}","int((b + a*x^2)/((a*x^4 + b*x^2)^(1/4)*(b - a*x^2 + x^4)),x)","\int \frac{a\,x^2+b}{{\left(a\,x^4+b\,x^2\right)}^{1/4}\,\left(x^4-a\,x^2+b\right)} \,d x","Not used",1,"int((b + a*x^2)/((a*x^4 + b*x^2)^(1/4)*(b - a*x^2 + x^4)), x)","F"
978,0,-1,74,0.000000,"\text{Not used}","int((b + a*x^2)/((a*x^4 + b*x^2)^(1/4)*(b - a*x^2 + x^4)),x)","\int \frac{a\,x^2+b}{{\left(a\,x^4+b\,x^2\right)}^{1/4}\,\left(x^4-a\,x^2+b\right)} \,d x","Not used",1,"int((b + a*x^2)/((a*x^4 + b*x^2)^(1/4)*(b - a*x^2 + x^4)), x)","F"
979,0,-1,74,0.000000,"\text{Not used}","int(-(b - 2*a*x^4)/(x^2*(a*x^4 - b)^(3/4)),x)","-\int \frac{b-2\,a\,x^4}{x^2\,{\left(a\,x^4-b\right)}^{3/4}} \,d x","Not used",1,"-int((b - 2*a*x^4)/(x^2*(a*x^4 - b)^(3/4)), x)","F"
980,1,80,74,0.864872,"\text{Not used}","int(1/(x*(x^6 + 1)^(1/3)),x)","\frac{\ln\left(\frac{{\left(x^6+1\right)}^{1/3}}{4}-\frac{1}{4}\right)}{6}+\ln\left(\frac{{\left(x^6+1\right)}^{1/3}}{4}-9\,{\left(-\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)}^2\right)\,\left(-\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)-\ln\left(\frac{{\left(x^6+1\right)}^{1/3}}{4}-9\,{\left(\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)}^2\right)\,\left(\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)","Not used",1,"log((x^6 + 1)^(1/3)/4 - 1/4)/6 + log((x^6 + 1)^(1/3)/4 - 9*((3^(1/2)*1i)/12 - 1/12)^2)*((3^(1/2)*1i)/12 - 1/12) - log((x^6 + 1)^(1/3)/4 - 9*((3^(1/2)*1i)/12 + 1/12)^2)*((3^(1/2)*1i)/12 + 1/12)","B"
981,1,270,74,1.421392,"\text{Not used}","int((2*x^6 - 9*x^4 + 3)/(x*(x^2 + 1)^2*(2*x^2 - 1)*(2*x^2 + 1)*(-(2*x^2 - 1)/(2*x^2 + 1))^(1/2)),x)","3\,\mathrm{atanh}\left(\sqrt{-\frac{2\,x^2-1}{2\,x^2+1}}\right)-\sqrt{3}\,\mathrm{atan}\left(\frac{\sqrt{3}\,\sqrt{-\frac{2\,x^2-1}{2\,x^2+1}}}{3}\right)+\frac{2\,\sqrt{3}\,\mathrm{atan}\left(\frac{\sqrt{3}\,\sqrt{1-2\,x^2}\,\sqrt{\frac{1}{2\,x^2+1}}}{3}\right)}{2\,x^2+2}-\frac{\left(x^2+\frac{1}{2}\right)\,\left(\frac{x^2}{3}-\frac{1}{3}\right)\,\sqrt{-\frac{2\,x^2-1}{2\,x^2+1}}}{2\,x^4+x^2-1}+\frac{3\,x^2}{\sqrt{1-2\,x^2}\,\left(2\,x^2+2\right)\,\sqrt{\frac{1}{2\,x^2+1}}}+\frac{2\,\sqrt{3}\,x^2\,\mathrm{atan}\left(\frac{\sqrt{3}\,\sqrt{1-2\,x^2}\,\sqrt{\frac{1}{2\,x^2+1}}}{3}\right)}{2\,x^2+2}-\frac{2{}\mathrm{i}}{\sqrt{-\frac{2\,x^2-1}{2\,x^2+1}}\,3{}\mathrm{i}+{\left(-\frac{2\,x^2-1}{2\,x^2+1}\right)}^{3/2}\,1{}\mathrm{i}}","Not used",1,"3*atanh((-(2*x^2 - 1)/(2*x^2 + 1))^(1/2)) - 2i/((-(2*x^2 - 1)/(2*x^2 + 1))^(1/2)*3i + (-(2*x^2 - 1)/(2*x^2 + 1))^(3/2)*1i) - 3^(1/2)*atan((3^(1/2)*(-(2*x^2 - 1)/(2*x^2 + 1))^(1/2))/3) + (2*3^(1/2)*atan((3^(1/2)*(1 - 2*x^2)^(1/2)*(1/(2*x^2 + 1))^(1/2))/3))/(2*x^2 + 2) - ((x^2 + 1/2)*(x^2/3 - 1/3)*(-(2*x^2 - 1)/(2*x^2 + 1))^(1/2))/(x^2 + 2*x^4 - 1) + (3*x^2)/((1 - 2*x^2)^(1/2)*(2*x^2 + 2)*(1/(2*x^2 + 1))^(1/2)) + (2*3^(1/2)*x^2*atan((3^(1/2)*(1 - 2*x^2)^(1/2)*(1/(2*x^2 + 1))^(1/2))/3))/(2*x^2 + 2)","B"
982,0,-1,74,0.000000,"\text{Not used}","int(((x^8 - 2)*(2*x^4 - 1)^(1/4))/(x^6*(x^4 - 1)^2),x)","\int \frac{\left(x^8-2\right)\,{\left(2\,x^4-1\right)}^{1/4}}{x^6\,{\left(x^4-1\right)}^2} \,d x","Not used",1,"int(((x^8 - 2)*(2*x^4 - 1)^(1/4))/(x^6*(x^4 - 1)^2), x)","F"
983,1,55,75,0.961183,"\text{Not used}","int((b + a*x^2)^(3/4)/x^3,x)","\frac{3\,a\,\mathrm{atan}\left(\frac{{\left(a\,x^2+b\right)}^{1/4}}{b^{1/4}}\right)}{4\,b^{1/4}}-\frac{{\left(a\,x^2+b\right)}^{3/4}}{2\,x^2}-\frac{3\,a\,\mathrm{atanh}\left(\frac{{\left(a\,x^2+b\right)}^{1/4}}{b^{1/4}}\right)}{4\,b^{1/4}}","Not used",1,"(3*a*atan((b + a*x^2)^(1/4)/b^(1/4)))/(4*b^(1/4)) - (b + a*x^2)^(3/4)/(2*x^2) - (3*a*atanh((b + a*x^2)^(1/4)/b^(1/4)))/(4*b^(1/4))","B"
984,0,-1,75,0.000000,"\text{Not used}","int(-(k*x^2 - 2*x*(k + 1) + 3)/((x*(k*x - 1)*(x - 1))^(1/4)*(d - x^3 - d*x*(k + 1) + d*k*x^2)),x)","-\int \frac{k\,x^2-2\,x\,\left(k+1\right)+3}{{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{1/4}\,\left(-x^3+d\,k\,x^2-d\,\left(k+1\right)\,x+d\right)} \,d x","Not used",1,"-int((k*x^2 - 2*x*(k + 1) + 3)/((x*(k*x - 1)*(x - 1))^(1/4)*(d - x^3 - d*x*(k + 1) + d*k*x^2)), x)","F"
985,0,-1,75,0.000000,"\text{Not used}","int(-1/((3*x - 3*x^2 + x^3 - 1)^(1/4)*(2*x - x^2 - 3*x^3 + 1)),x)","-\int \frac{1}{{\left(x^3-3\,x^2+3\,x-1\right)}^{1/4}\,\left(-3\,x^3-x^2+2\,x+1\right)} \,d x","Not used",1,"-int(1/((3*x - 3*x^2 + x^3 - 1)^(1/4)*(2*x - x^2 - 3*x^3 + 1)), x)","F"
986,1,55,75,0.965993,"\text{Not used}","int((b + a*x^3)^(3/4)/x^4,x)","\frac{a\,\mathrm{atan}\left(\frac{{\left(a\,x^3+b\right)}^{1/4}}{b^{1/4}}\right)}{2\,b^{1/4}}-\frac{{\left(a\,x^3+b\right)}^{3/4}}{3\,x^3}-\frac{a\,\mathrm{atanh}\left(\frac{{\left(a\,x^3+b\right)}^{1/4}}{b^{1/4}}\right)}{2\,b^{1/4}}","Not used",1,"(a*atan((b + a*x^3)^(1/4)/b^(1/4)))/(2*b^(1/4)) - (b + a*x^3)^(3/4)/(3*x^3) - (a*atanh((b + a*x^3)^(1/4)/b^(1/4)))/(2*b^(1/4))","B"
987,0,-1,75,0.000000,"\text{Not used}","int((x^2 + x^4)^(1/4)/(x^4*(x^4 - 1)),x)","-\int \frac{{\left(x^4+x^2\right)}^{1/4}}{x^4-x^8} \,d x","Not used",1,"-int((x^2 + x^4)^(1/4)/(x^4 - x^8), x)","F"
988,0,-1,75,0.000000,"\text{Not used}","int((x*(x^4 - 3))/((x^4 + 1)^(2/3)*(x^3 + x^4 + 1)),x)","\int \frac{x\,\left(x^4-3\right)}{{\left(x^4+1\right)}^{2/3}\,\left(x^4+x^3+1\right)} \,d x","Not used",1,"int((x*(x^4 - 3))/((x^4 + 1)^(2/3)*(x^3 + x^4 + 1)), x)","F"
989,0,-1,75,0.000000,"\text{Not used}","int(-((2*x^4 + 1)*(2 - 4*x^4 - x^2)^(1/2))/((2*x^4 - 1)*(x^2 - 2*x^4 + 1)),x)","-\int \frac{\left(2\,x^4+1\right)\,\sqrt{-4\,x^4-x^2+2}}{\left(2\,x^4-1\right)\,\left(-2\,x^4+x^2+1\right)} \,d x","Not used",1,"-int(((2*x^4 + 1)*(2 - 4*x^4 - x^2)^(1/2))/((2*x^4 - 1)*(x^2 - 2*x^4 + 1)), x)","F"
990,1,37,75,0.784893,"\text{Not used}","int((b + a*x^4)^(3/4),x)","\frac{x\,{\left(a\,x^4+b\right)}^{3/4}\,{{}}_2{\mathrm{F}}_1\left(-\frac{3}{4},\frac{1}{4};\ \frac{5}{4};\ -\frac{a\,x^4}{b}\right)}{{\left(\frac{a\,x^4}{b}+1\right)}^{3/4}}","Not used",1,"(x*(b + a*x^4)^(3/4)*hypergeom([-3/4, 1/4], 5/4, -(a*x^4)/b))/((a*x^4)/b + 1)^(3/4)","B"
991,0,-1,75,0.000000,"\text{Not used}","int((b + a*x^4)^(3/4)/x^4,x)","\int \frac{{\left(a\,x^4+b\right)}^{3/4}}{x^4} \,d x","Not used",1,"int((b + a*x^4)^(3/4)/x^4, x)","F"
992,1,55,75,1.029334,"\text{Not used}","int((b + a*x^5)^(3/4)/x^6,x)","\frac{3\,a\,\mathrm{atan}\left(\frac{{\left(a\,x^5+b\right)}^{1/4}}{b^{1/4}}\right)}{10\,b^{1/4}}-\frac{{\left(a\,x^5+b\right)}^{3/4}}{5\,x^5}-\frac{3\,a\,\mathrm{atanh}\left(\frac{{\left(a\,x^5+b\right)}^{1/4}}{b^{1/4}}\right)}{10\,b^{1/4}}","Not used",1,"(3*a*atan((b + a*x^5)^(1/4)/b^(1/4)))/(10*b^(1/4)) - (b + a*x^5)^(3/4)/(5*x^5) - (3*a*atanh((b + a*x^5)^(1/4)/b^(1/4)))/(10*b^(1/4))","B"
993,0,-1,75,0.000000,"\text{Not used}","int(-(3*x^5 - 2)/((x + x^6)^(1/3)*(x^5 - x^2 + 1)),x)","-\int \frac{3\,x^5-2}{{\left(x^6+x\right)}^{1/3}\,\left(x^5-x^2+1\right)} \,d x","Not used",1,"-int((3*x^5 - 2)/((x + x^6)^(1/3)*(x^5 - x^2 + 1)), x)","F"
994,1,55,75,1.035216,"\text{Not used}","int((b + a*x^6)^(3/4)/x^7,x)","\frac{a\,\mathrm{atan}\left(\frac{{\left(a\,x^6+b\right)}^{1/4}}{b^{1/4}}\right)}{4\,b^{1/4}}-\frac{{\left(a\,x^6+b\right)}^{3/4}}{6\,x^6}-\frac{a\,\mathrm{atanh}\left(\frac{{\left(a\,x^6+b\right)}^{1/4}}{b^{1/4}}\right)}{4\,b^{1/4}}","Not used",1,"(a*atan((b + a*x^6)^(1/4)/b^(1/4)))/(4*b^(1/4)) - (b + a*x^6)^(3/4)/(6*x^6) - (a*atanh((b + a*x^6)^(1/4)/b^(1/4)))/(4*b^(1/4))","B"
995,0,-1,75,0.000000,"\text{Not used}","int(-(2*b + a*x^6)/((a*x^6 - b)^(1/4)*(b - a*x^6 + 2*x^4)),x)","\int -\frac{a\,x^6+2\,b}{{\left(a\,x^6-b\right)}^{1/4}\,\left(-a\,x^6+2\,x^4+b\right)} \,d x","Not used",1,"int(-(2*b + a*x^6)/((a*x^6 - b)^(1/4)*(b - a*x^6 + 2*x^4)), x)","F"
996,0,-1,75,0.000000,"\text{Not used}","int(((x^4 - 1)*(x^4 + 1)^(1/2))/(3*x^4 + x^8 + 1),x)","\int \frac{\left(x^4-1\right)\,\sqrt{x^4+1}}{x^8+3\,x^4+1} \,d x","Not used",1,"int(((x^4 - 1)*(x^4 + 1)^(1/2))/(3*x^4 + x^8 + 1), x)","F"
997,1,90,76,3.764720,"\text{Not used}","int((k^2*x^2 - 1)/((a + b*x + a*k^2*x^2)*(x*(k^2*x - 1)*(x - 1))^(1/2)),x)","\frac{\ln\left(\frac{a-2\,a\,x-b\,x-2\,a\,k^2\,x+a\,k^2\,x^2+\sqrt{a\,\left(a\,k^2+a+b\right)}\,\sqrt{x\,\left(k^2\,x-1\right)\,\left(x-1\right)}\,2{}\mathrm{i}}{a\,k^2\,x^2+b\,x+a}\right)\,1{}\mathrm{i}}{\sqrt{a^2\,k^2+a^2+b\,a}}","Not used",1,"(log((a - 2*a*x - b*x + (a*(a + b + a*k^2))^(1/2)*(x*(k^2*x - 1)*(x - 1))^(1/2)*2i - 2*a*k^2*x + a*k^2*x^2)/(a + b*x + a*k^2*x^2))*1i)/(a*b + a^2 + a^2*k^2)^(1/2)","B"
998,1,80,76,0.980241,"\text{Not used}","int(1/(x*(x^4 - 1)^(1/3)),x)","-\frac{\ln\left(\frac{9\,{\left(x^4-1\right)}^{1/3}}{16}+\frac{9}{16}\right)}{4}-\ln\left(9\,{\left(-\frac{1}{8}+\frac{\sqrt{3}\,1{}\mathrm{i}}{8}\right)}^2+\frac{9\,{\left(x^4-1\right)}^{1/3}}{16}\right)\,\left(-\frac{1}{8}+\frac{\sqrt{3}\,1{}\mathrm{i}}{8}\right)+\ln\left(9\,{\left(\frac{1}{8}+\frac{\sqrt{3}\,1{}\mathrm{i}}{8}\right)}^2+\frac{9\,{\left(x^4-1\right)}^{1/3}}{16}\right)\,\left(\frac{1}{8}+\frac{\sqrt{3}\,1{}\mathrm{i}}{8}\right)","Not used",1,"log(9*((3^(1/2)*1i)/8 + 1/8)^2 + (9*(x^4 - 1)^(1/3))/16)*((3^(1/2)*1i)/8 + 1/8) - log(9*((3^(1/2)*1i)/8 - 1/8)^2 + (9*(x^4 - 1)^(1/3))/16)*((3^(1/2)*1i)/8 - 1/8) - log((9*(x^4 - 1)^(1/3))/16 + 9/16)/4","B"
999,0,-1,76,0.000000,"\text{Not used}","int(-(x^2*(2*b - a*x^2))/((a*x^2 - b)^(3/4)*(4*b - 4*a*x^2 + x^4)),x)","-\int \frac{x^2\,\left(2\,b-a\,x^2\right)}{{\left(a\,x^2-b\right)}^{3/4}\,\left(x^4-4\,a\,x^2+4\,b\right)} \,d x","Not used",1,"-int((x^2*(2*b - a*x^2))/((a*x^2 - b)^(3/4)*(4*b - 4*a*x^2 + x^4)), x)","F"
1000,1,714,76,1.532146,"\text{Not used}","int((x^3 - a*b*x)/((x*(a - x)*(b - x))^(1/2)*(x^4 - 2*x^3*(a + b) + a^2*b^2 + x^2*(4*a*b - d + a^2 + b^2) - 2*a*b*x*(a + b))),x)","\sum _{k=1}^4\left(-\frac{b\,\left({\mathrm{root}\left(z^4-z^3\,\left(2\,a+2\,b\right)+z^2\,\left(-d+4\,a\,b+a^2+b^2\right)-2\,a\,b\,z\,\left(a+b\right)+a^2\,b^2,z,k\right)}^3-a\,b\,\mathrm{root}\left(z^4-z^3\,\left(2\,a+2\,b\right)+z^2\,\left(-d+4\,a\,b+a^2+b^2\right)-2\,a\,b\,z\,\left(a+b\right)+a^2\,b^2,z,k\right)\right)\,\sqrt{\frac{x}{b}}\,\sqrt{\frac{b-x}{b}}\,\sqrt{\frac{a-x}{a-b}}\,\Pi \left(-\frac{b}{\mathrm{root}\left(z^4-z^3\,\left(2\,a+2\,b\right)+z^2\,\left(-d+4\,a\,b+a^2+b^2\right)-2\,a\,b\,z\,\left(a+b\right)+a^2\,b^2,z,k\right)-b};\mathrm{asin}\left(\sqrt{\frac{b-x}{b}}\right)\middle|-\frac{b}{a-b}\right)}{\left(\mathrm{root}\left(z^4-z^3\,\left(2\,a+2\,b\right)+z^2\,\left(-d+4\,a\,b+a^2+b^2\right)-2\,a\,b\,z\,\left(a+b\right)+a^2\,b^2,z,k\right)-b\right)\,\sqrt{x\,\left(a-x\right)\,\left(b-x\right)}\,\left(a^2\,b-a^2\,\mathrm{root}\left(z^4-z^3\,\left(2\,a+2\,b\right)+z^2\,\left(-d+4\,a\,b+a^2+b^2\right)-2\,a\,b\,z\,\left(a+b\right)+a^2\,b^2,z,k\right)+a\,b^2-4\,a\,b\,\mathrm{root}\left(z^4-z^3\,\left(2\,a+2\,b\right)+z^2\,\left(-d+4\,a\,b+a^2+b^2\right)-2\,a\,b\,z\,\left(a+b\right)+a^2\,b^2,z,k\right)+3\,a\,{\mathrm{root}\left(z^4-z^3\,\left(2\,a+2\,b\right)+z^2\,\left(-d+4\,a\,b+a^2+b^2\right)-2\,a\,b\,z\,\left(a+b\right)+a^2\,b^2,z,k\right)}^2-b^2\,\mathrm{root}\left(z^4-z^3\,\left(2\,a+2\,b\right)+z^2\,\left(-d+4\,a\,b+a^2+b^2\right)-2\,a\,b\,z\,\left(a+b\right)+a^2\,b^2,z,k\right)+3\,b\,{\mathrm{root}\left(z^4-z^3\,\left(2\,a+2\,b\right)+z^2\,\left(-d+4\,a\,b+a^2+b^2\right)-2\,a\,b\,z\,\left(a+b\right)+a^2\,b^2,z,k\right)}^2-2\,{\mathrm{root}\left(z^4-z^3\,\left(2\,a+2\,b\right)+z^2\,\left(-d+4\,a\,b+a^2+b^2\right)-2\,a\,b\,z\,\left(a+b\right)+a^2\,b^2,z,k\right)}^3+d\,\mathrm{root}\left(z^4-z^3\,\left(2\,a+2\,b\right)+z^2\,\left(-d+4\,a\,b+a^2+b^2\right)-2\,a\,b\,z\,\left(a+b\right)+a^2\,b^2,z,k\right)\right)}\right)","Not used",1,"symsum(-(b*(root(z^4 - z^3*(2*a + 2*b) + z^2*(- d + 4*a*b + a^2 + b^2) - 2*a*b*z*(a + b) + a^2*b^2, z, k)^3 - a*b*root(z^4 - z^3*(2*a + 2*b) + z^2*(- d + 4*a*b + a^2 + b^2) - 2*a*b*z*(a + b) + a^2*b^2, z, k))*(x/b)^(1/2)*((b - x)/b)^(1/2)*((a - x)/(a - b))^(1/2)*ellipticPi(-b/(root(z^4 - z^3*(2*a + 2*b) + z^2*(- d + 4*a*b + a^2 + b^2) - 2*a*b*z*(a + b) + a^2*b^2, z, k) - b), asin(((b - x)/b)^(1/2)), -b/(a - b)))/((root(z^4 - z^3*(2*a + 2*b) + z^2*(- d + 4*a*b + a^2 + b^2) - 2*a*b*z*(a + b) + a^2*b^2, z, k) - b)*(x*(a - x)*(b - x))^(1/2)*(3*a*root(z^4 - z^3*(2*a + 2*b) + z^2*(- d + 4*a*b + a^2 + b^2) - 2*a*b*z*(a + b) + a^2*b^2, z, k)^2 - a^2*root(z^4 - z^3*(2*a + 2*b) + z^2*(- d + 4*a*b + a^2 + b^2) - 2*a*b*z*(a + b) + a^2*b^2, z, k) + 3*b*root(z^4 - z^3*(2*a + 2*b) + z^2*(- d + 4*a*b + a^2 + b^2) - 2*a*b*z*(a + b) + a^2*b^2, z, k)^2 - b^2*root(z^4 - z^3*(2*a + 2*b) + z^2*(- d + 4*a*b + a^2 + b^2) - 2*a*b*z*(a + b) + a^2*b^2, z, k) + a*b^2 + a^2*b - 2*root(z^4 - z^3*(2*a + 2*b) + z^2*(- d + 4*a*b + a^2 + b^2) - 2*a*b*z*(a + b) + a^2*b^2, z, k)^3 + d*root(z^4 - z^3*(2*a + 2*b) + z^2*(- d + 4*a*b + a^2 + b^2) - 2*a*b*z*(a + b) + a^2*b^2, z, k) - 4*a*b*root(z^4 - z^3*(2*a + 2*b) + z^2*(- d + 4*a*b + a^2 + b^2) - 2*a*b*z*(a + b) + a^2*b^2, z, k))), k, 1, 4)","B"
1001,0,-1,76,0.000000,"\text{Not used}","int(((x^4 - 1)*(- x^4 - 1)^(1/4))/(x^6*(2*x^4 + 1)),x)","\int \frac{\left(x^4-1\right)\,{\left(-x^4-1\right)}^{1/4}}{x^6\,\left(2\,x^4+1\right)} \,d x","Not used",1,"int(((x^4 - 1)*(- x^4 - 1)^(1/4))/(x^6*(2*x^4 + 1)), x)","F"
1002,1,175,76,7.780413,"\text{Not used}","int(-(x^3 - a*b*x)/((x*(a - x)*(b - x))^(1/2)*(x^2*(a^2*d + b^2*d + 4*a*b*d - 1) + d*x^4 + a^2*b^2*d - 2*d*x^3*(a + b) - 2*a*b*d*x*(a + b))),x)","\frac{\ln\left(\frac{x+2\,d^{1/4}\,\sqrt{x\,\left(a-x\right)\,\left(b-x\right)}+\sqrt{d}\,x^2+a\,b\,\sqrt{d}-a\,\sqrt{d}\,x-b\,\sqrt{d}\,x}{x-\sqrt{d}\,x^2-a\,b\,\sqrt{d}+a\,\sqrt{d}\,x+b\,\sqrt{d}\,x}\right)}{2\,d^{1/4}}+\frac{\ln\left(\frac{x-\sqrt{d}\,x^2-a\,b\,\sqrt{d}+a\,\sqrt{d}\,x+b\,\sqrt{d}\,x-d^{1/4}\,\sqrt{x\,\left(a-x\right)\,\left(b-x\right)}\,2{}\mathrm{i}}{x+\sqrt{d}\,x^2+a\,b\,\sqrt{d}-a\,\sqrt{d}\,x-b\,\sqrt{d}\,x}\right)\,1{}\mathrm{i}}{2\,d^{1/4}}","Not used",1,"log((x + 2*d^(1/4)*(x*(a - x)*(b - x))^(1/2) + d^(1/2)*x^2 + a*b*d^(1/2) - a*d^(1/2)*x - b*d^(1/2)*x)/(x - d^(1/2)*x^2 - a*b*d^(1/2) + a*d^(1/2)*x + b*d^(1/2)*x))/(2*d^(1/4)) + (log((x - d^(1/4)*(x*(a - x)*(b - x))^(1/2)*2i - d^(1/2)*x^2 - a*b*d^(1/2) + a*d^(1/2)*x + b*d^(1/2)*x)/(x + d^(1/2)*x^2 + a*b*d^(1/2) - a*d^(1/2)*x - b*d^(1/2)*x))*1i)/(2*d^(1/4))","B"
1003,1,175,76,7.316352,"\text{Not used}","int((x^3 - a*b*x)/((x*(a - x)*(b - x))^(1/2)*(x^2*(a^2*d + b^2*d + 4*a*b*d - 1) + d*x^4 + a^2*b^2*d - 2*d*x^3*(a + b) - 2*a*b*d*x*(a + b))),x)","\frac{\ln\left(\frac{x-2\,d^{1/4}\,\sqrt{x\,\left(a-x\right)\,\left(b-x\right)}+\sqrt{d}\,x^2+a\,b\,\sqrt{d}-a\,\sqrt{d}\,x-b\,\sqrt{d}\,x}{x-\sqrt{d}\,x^2-a\,b\,\sqrt{d}+a\,\sqrt{d}\,x+b\,\sqrt{d}\,x}\right)}{2\,d^{1/4}}+\frac{\ln\left(\frac{x-\sqrt{d}\,x^2-a\,b\,\sqrt{d}+a\,\sqrt{d}\,x+b\,\sqrt{d}\,x+d^{1/4}\,\sqrt{x\,\left(a-x\right)\,\left(b-x\right)}\,2{}\mathrm{i}}{x+\sqrt{d}\,x^2+a\,b\,\sqrt{d}-a\,\sqrt{d}\,x-b\,\sqrt{d}\,x}\right)\,1{}\mathrm{i}}{2\,d^{1/4}}","Not used",1,"log((x - 2*d^(1/4)*(x*(a - x)*(b - x))^(1/2) + d^(1/2)*x^2 + a*b*d^(1/2) - a*d^(1/2)*x - b*d^(1/2)*x)/(x - d^(1/2)*x^2 - a*b*d^(1/2) + a*d^(1/2)*x + b*d^(1/2)*x))/(2*d^(1/4)) + (log((x + d^(1/4)*(x*(a - x)*(b - x))^(1/2)*2i - d^(1/2)*x^2 - a*b*d^(1/2) + a*d^(1/2)*x + b*d^(1/2)*x)/(x + d^(1/2)*x^2 + a*b*d^(1/2) - a*d^(1/2)*x - b*d^(1/2)*x))*1i)/(2*d^(1/4))","B"
1004,1,80,76,1.096251,"\text{Not used}","int(1/(x*(x^6 - 1)^(1/3)),x)","-\frac{\ln\left(\frac{{\left(x^6-1\right)}^{1/3}}{4}+\frac{1}{4}\right)}{6}-\ln\left(9\,{\left(-\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)}^2+\frac{{\left(x^6-1\right)}^{1/3}}{4}\right)\,\left(-\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)+\ln\left(9\,{\left(\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)}^2+\frac{{\left(x^6-1\right)}^{1/3}}{4}\right)\,\left(\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)","Not used",1,"log(9*((3^(1/2)*1i)/12 + 1/12)^2 + (x^6 - 1)^(1/3)/4)*((3^(1/2)*1i)/12 + 1/12) - log(9*((3^(1/2)*1i)/12 - 1/12)^2 + (x^6 - 1)^(1/3)/4)*((3^(1/2)*1i)/12 - 1/12) - log((x^6 - 1)^(1/3)/4 + 1/4)/6","B"
1005,0,-1,76,0.000000,"\text{Not used}","int(((x^3 + 1)^(2/3)*(x^3 + 2*x^6 + 2))/(x^6*(x^3 + x^6 + 1)),x)","\int \frac{{\left(x^3+1\right)}^{2/3}\,\left(2\,x^6+x^3+2\right)}{x^6\,\left(x^6+x^3+1\right)} \,d x","Not used",1,"int(((x^3 + 1)^(2/3)*(x^3 + 2*x^6 + 2))/(x^6*(x^3 + x^6 + 1)), x)","F"
1006,0,-1,76,0.000000,"\text{Not used}","int(((x^3 + 1)^(2/3)*(x^3 + 2*x^6 + 2))/(x^6*(x^3 + x^6 + 1)),x)","\int \frac{{\left(x^3+1\right)}^{2/3}\,\left(2\,x^6+x^3+2\right)}{x^6\,\left(x^6+x^3+1\right)} \,d x","Not used",1,"int(((x^3 + 1)^(2/3)*(x^3 + 2*x^6 + 2))/(x^6*(x^3 + x^6 + 1)), x)","F"
1007,0,-1,76,0.000000,"\text{Not used}","int(((x^4 - 1)*(x^4 - x^2 + 1)*(4*x^4 - x^2 + 4)^(1/2))/((x^4 + 1)*(7*x^4 + 4*x^8 + 4)),x)","\int \frac{\left(x^4-1\right)\,\left(x^4-x^2+1\right)\,\sqrt{4\,x^4-x^2+4}}{\left(x^4+1\right)\,\left(4\,x^8+7\,x^4+4\right)} \,d x","Not used",1,"int(((x^4 - 1)*(x^4 - x^2 + 1)*(4*x^4 - x^2 + 4)^(1/2))/((x^4 + 1)*(7*x^4 + 4*x^8 + 4)), x)","F"
1008,1,64,76,0.775075,"\text{Not used}","int((3*x^3 - 3*x - 9*x^4 + 3*x^6 - 9*x^7 + x^9 - 3*x^10 + 1)^(1/3),x)","-\frac{\left(-\frac{3\,x^4}{13}+\frac{x^3}{130}+\frac{3\,x^2}{910}-\frac{681\,x}{910}+\frac{229}{910}\right)\,{\left(-3\,x^{10}+x^9-9\,x^7+3\,x^6-9\,x^4+3\,x^3-3\,x+1\right)}^{1/3}}{x^3+1}","Not used",1,"-(((3*x^2)/910 - (681*x)/910 + x^3/130 - (3*x^4)/13 + 229/910)*(3*x^3 - 3*x - 9*x^4 + 3*x^6 - 9*x^7 + x^9 - 3*x^10 + 1)^(1/3))/(x^3 + 1)","B"
1009,1,754,77,0.870418,"\text{Not used}","int((x*(b - x)*(a*b - 2*a*x + x^2))/((a - x)*(x*(a - x)*(b - x))^(1/2)*(a*d + x^2 - x*(b + d))),x)","\frac{2\,a\,b\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{b-x}{b}}\right)\middle|-\frac{b}{a-b}\right)\,\sqrt{\frac{x}{b}}\,\sqrt{\frac{b-x}{b}}\,\sqrt{\frac{a-x}{a-b}}}{\sqrt{x^3+\left(-a-b\right)\,x^2+a\,b\,x}}-\frac{2\,b\,\left(a\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{b-x}{b}}\right)\middle|-\frac{b}{a-b}\right)-\left(a-b\right)\,\mathrm{E}\left(\mathrm{asin}\left(\sqrt{\frac{b-x}{b}}\right)\middle|-\frac{b}{a-b}\right)\right)\,\sqrt{\frac{x}{b}}\,\sqrt{\frac{b-x}{b}}\,\sqrt{\frac{a-x}{a-b}}}{\sqrt{x^3+\left(-a-b\right)\,x^2+a\,b\,x}}-\frac{2\,b\,d\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{b-x}{b}}\right)\middle|-\frac{b}{a-b}\right)\,\sqrt{\frac{x}{b}}\,\sqrt{\frac{b-x}{b}}\,\sqrt{\frac{a-x}{a-b}}}{\sqrt{x^3+\left(-a-b\right)\,x^2+a\,b\,x}}+\frac{2\,b\,\sqrt{\frac{x}{b}}\,\sqrt{\frac{b-x}{b}}\,\sqrt{\frac{a-x}{a-b}}\,\Pi \left(\frac{b}{\frac{b}{2}-\frac{d}{2}+\frac{\sqrt{b^2+2\,b\,d+d^2-4\,a\,d}}{2}};\mathrm{asin}\left(\sqrt{\frac{b-x}{b}}\right)\middle|-\frac{b}{a-b}\right)\,\left(a\,d-\frac{b\,d}{2}+\frac{d\,\sqrt{b^2+2\,b\,d+d^2-4\,a\,d}}{2}-\frac{d^2}{2}\right)}{\sqrt{x^3+\left(-a-b\right)\,x^2+a\,b\,x}\,\left(\frac{b}{2}-\frac{d}{2}+\frac{\sqrt{b^2+2\,b\,d+d^2-4\,a\,d}}{2}\right)}+\frac{2\,b\,\sqrt{\frac{x}{b}}\,\sqrt{\frac{b-x}{b}}\,\sqrt{\frac{a-x}{a-b}}\,\Pi \left(-\frac{b}{\frac{d}{2}-\frac{b}{2}+\frac{\sqrt{b^2+2\,b\,d+d^2-4\,a\,d}}{2}};\mathrm{asin}\left(\sqrt{\frac{b-x}{b}}\right)\middle|-\frac{b}{a-b}\right)\,\left(\frac{b\,d}{2}-a\,d+\frac{d\,\sqrt{b^2+2\,b\,d+d^2-4\,a\,d}}{2}+\frac{d^2}{2}\right)}{\sqrt{x^3+\left(-a-b\right)\,x^2+a\,b\,x}\,\left(\frac{d}{2}-\frac{b}{2}+\frac{\sqrt{b^2+2\,b\,d+d^2-4\,a\,d}}{2}\right)}+\frac{2\,b\,\left(\mathrm{E}\left(\mathrm{asin}\left(\sqrt{\frac{b-x}{b}}\right)\middle|-\frac{b}{a-b}\right)+\frac{b\,\sin\left(2\,\mathrm{asin}\left(\sqrt{\frac{b-x}{b}}\right)\right)}{2\,\sqrt{\frac{b-x}{a-b}+1}\,\left(a-b\right)}\right)\,\sqrt{\frac{x}{b}}\,\left(a\,b-a^2\right)\,\sqrt{\frac{b-x}{b}}\,\sqrt{\frac{a-x}{a-b}}}{\left(\frac{b}{a-b}+1\right)\,\left(a-b\right)\,\sqrt{x^3+\left(-a-b\right)\,x^2+a\,b\,x}}","Not used",1,"(2*a*b*ellipticF(asin(((b - x)/b)^(1/2)), -b/(a - b))*(x/b)^(1/2)*((b - x)/b)^(1/2)*((a - x)/(a - b))^(1/2))/(x^3 - x^2*(a + b) + a*b*x)^(1/2) - (2*b*(a*ellipticF(asin(((b - x)/b)^(1/2)), -b/(a - b)) - (a - b)*ellipticE(asin(((b - x)/b)^(1/2)), -b/(a - b)))*(x/b)^(1/2)*((b - x)/b)^(1/2)*((a - x)/(a - b))^(1/2))/(x^3 - x^2*(a + b) + a*b*x)^(1/2) - (2*b*d*ellipticF(asin(((b - x)/b)^(1/2)), -b/(a - b))*(x/b)^(1/2)*((b - x)/b)^(1/2)*((a - x)/(a - b))^(1/2))/(x^3 - x^2*(a + b) + a*b*x)^(1/2) + (2*b*(x/b)^(1/2)*((b - x)/b)^(1/2)*((a - x)/(a - b))^(1/2)*ellipticPi(b/(b/2 - d/2 + (2*b*d - 4*a*d + b^2 + d^2)^(1/2)/2), asin(((b - x)/b)^(1/2)), -b/(a - b))*(a*d - (b*d)/2 + (d*(2*b*d - 4*a*d + b^2 + d^2)^(1/2))/2 - d^2/2))/((x^3 - x^2*(a + b) + a*b*x)^(1/2)*(b/2 - d/2 + (2*b*d - 4*a*d + b^2 + d^2)^(1/2)/2)) + (2*b*(x/b)^(1/2)*((b - x)/b)^(1/2)*((a - x)/(a - b))^(1/2)*ellipticPi(-b/(d/2 - b/2 + (2*b*d - 4*a*d + b^2 + d^2)^(1/2)/2), asin(((b - x)/b)^(1/2)), -b/(a - b))*((b*d)/2 - a*d + (d*(2*b*d - 4*a*d + b^2 + d^2)^(1/2))/2 + d^2/2))/((x^3 - x^2*(a + b) + a*b*x)^(1/2)*(d/2 - b/2 + (2*b*d - 4*a*d + b^2 + d^2)^(1/2)/2)) + (2*b*(ellipticE(asin(((b - x)/b)^(1/2)), -b/(a - b)) + (b*sin(2*asin(((b - x)/b)^(1/2))))/(2*((b - x)/(a - b) + 1)^(1/2)*(a - b)))*(x/b)^(1/2)*(a*b - a^2)*((b - x)/b)^(1/2)*((a - x)/(a - b))^(1/2))/((b/(a - b) + 1)*(a - b)*(x^3 - x^2*(a + b) + a*b*x)^(1/2))","B"
1010,-1,-1,77,0.000000,"\text{Not used}","int((k^2*x^2 + 1)/((k^2*x^2 - 1)*(x*(k^2*x - 1)*(x - 1))^(1/2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
1011,1,12,77,0.772175,"\text{Not used}","int(1/(x^3 + 1)^(1/3),x)","x\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{3},\frac{1}{3};\ \frac{4}{3};\ -x^3\right)","Not used",1,"x*hypergeom([1/3, 1/3], 4/3, -x^3)","B"
1012,1,159,77,0.816813,"\text{Not used}","int(-(x + x^2)/((x^3 - x)^(1/2)*(2*x - x^2 + 1)),x)","\frac{\sqrt{2}\,\sqrt{-x}\,\left(3\,\sqrt{2}+4\right)\,\sqrt{1-x}\,\sqrt{x+1}\,\Pi \left(-\frac{1}{\sqrt{2}+1};\mathrm{asin}\left(\sqrt{-x}\right)\middle|-1\right)}{2\,\sqrt{x^3-x}\,\left(\sqrt{2}+1\right)}-\frac{\sqrt{2}\,\sqrt{-x}\,\left(3\,\sqrt{2}-4\right)\,\sqrt{1-x}\,\sqrt{x+1}\,\Pi \left(\frac{1}{\sqrt{2}-1};\mathrm{asin}\left(\sqrt{-x}\right)\middle|-1\right)}{2\,\sqrt{x^3-x}\,\left(\sqrt{2}-1\right)}-\frac{2\,\sqrt{-x}\,\sqrt{1-x}\,\sqrt{x+1}\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{-x}\right)\middle|-1\right)}{\sqrt{x^3-x}}","Not used",1,"(2^(1/2)*(-x)^(1/2)*(3*2^(1/2) + 4)*(1 - x)^(1/2)*(x + 1)^(1/2)*ellipticPi(-1/(2^(1/2) + 1), asin((-x)^(1/2)), -1))/(2*(x^3 - x)^(1/2)*(2^(1/2) + 1)) - (2^(1/2)*(-x)^(1/2)*(3*2^(1/2) - 4)*(1 - x)^(1/2)*(x + 1)^(1/2)*ellipticPi(1/(2^(1/2) - 1), asin((-x)^(1/2)), -1))/(2*(x^3 - x)^(1/2)*(2^(1/2) - 1)) - (2*(-x)^(1/2)*(1 - x)^(1/2)*(x + 1)^(1/2)*ellipticF(asin((-x)^(1/2)), -1))/(x^3 - x)^(1/2)","B"
1013,0,-1,77,0.000000,"\text{Not used}","int(-(x^2*(3*a*b + x^2 - 2*x*(a + b)))/((x*(a - x)*(b - x))^(3/4)*(a*b - d*x^3 + x^2 - x*(a + b))),x)","-\int \frac{x^2\,\left(3\,a\,b+x^2-2\,x\,\left(a+b\right)\right)}{{\left(x\,\left(a-x\right)\,\left(b-x\right)\right)}^{3/4}\,\left(-d\,x^3+x^2+\left(-a-b\right)\,x+a\,b\right)} \,d x","Not used",1,"-int((x^2*(3*a*b + x^2 - 2*x*(a + b)))/((x*(a - x)*(b - x))^(3/4)*(a*b - d*x^3 + x^2 - x*(a + b))), x)","F"
1014,1,45,77,0.891113,"\text{Not used}","int(1/(x*(x^4 - 1)^(1/4)),x)","\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,{\left(x^4-1\right)}^{1/4}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{4}-\frac{1}{4}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,{\left(x^4-1\right)}^{1/4}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{4}+\frac{1}{4}{}\mathrm{i}\right)","Not used",1,"2^(1/2)*atan(2^(1/2)*(x^4 - 1)^(1/4)*(1/2 - 1i/2))*(1/4 - 1i/4) + 2^(1/2)*atan(2^(1/2)*(x^4 - 1)^(1/4)*(1/2 + 1i/2))*(1/4 + 1i/4)","B"
1015,1,1150,77,1.782741,"\text{Not used}","int(-((a - x)*(b - x)*(a*b - x^2))/((x*(a - x)*(b - x))^(1/2)*(x^4 - 2*x^3*(a + b) + a^2*b^2 + x^2*(4*a*b - d + a^2 + b^2) - 2*a*b*x*(a + b))),x)","\left(\sum _{k=1}^4\left(-\frac{b\,\sqrt{\frac{x}{b}}\,\sqrt{\frac{b-x}{b}}\,\sqrt{\frac{a-x}{a-b}}\,\Pi \left(-\frac{b}{\mathrm{root}\left(z^4-z^3\,\left(2\,a+2\,b\right)+z^2\,\left(-d+4\,a\,b+a^2+b^2\right)-2\,a\,b\,z\,\left(a+b\right)+a^2\,b^2,z,k\right)-b};\mathrm{asin}\left(\sqrt{\frac{b-x}{b}}\right)\middle|-\frac{b}{a-b}\right)\,\left(-2\,a^2\,b^2+a^2\,b\,\mathrm{root}\left(z^4-z^3\,\left(2\,a+2\,b\right)+z^2\,\left(-d+4\,a\,b+a^2+b^2\right)-2\,a\,b\,z\,\left(a+b\right)+a^2\,b^2,z,k\right)\,3-a^2\,{\mathrm{root}\left(z^4-z^3\,\left(2\,a+2\,b\right)+z^2\,\left(-d+4\,a\,b+a^2+b^2\right)-2\,a\,b\,z\,\left(a+b\right)+a^2\,b^2,z,k\right)}^2+3\,a\,b^2\,\mathrm{root}\left(z^4-z^3\,\left(2\,a+2\,b\right)+z^2\,\left(-d+4\,a\,b+a^2+b^2\right)-2\,a\,b\,z\,\left(a+b\right)+a^2\,b^2,z,k\right)-4\,a\,b\,{\mathrm{root}\left(z^4-z^3\,\left(2\,a+2\,b\right)+z^2\,\left(-d+4\,a\,b+a^2+b^2\right)-2\,a\,b\,z\,\left(a+b\right)+a^2\,b^2,z,k\right)}^2+a\,{\mathrm{root}\left(z^4-z^3\,\left(2\,a+2\,b\right)+z^2\,\left(-d+4\,a\,b+a^2+b^2\right)-2\,a\,b\,z\,\left(a+b\right)+a^2\,b^2,z,k\right)}^3-b^2\,{\mathrm{root}\left(z^4-z^3\,\left(2\,a+2\,b\right)+z^2\,\left(-d+4\,a\,b+a^2+b^2\right)-2\,a\,b\,z\,\left(a+b\right)+a^2\,b^2,z,k\right)}^2+b\,{\mathrm{root}\left(z^4-z^3\,\left(2\,a+2\,b\right)+z^2\,\left(-d+4\,a\,b+a^2+b^2\right)-2\,a\,b\,z\,\left(a+b\right)+a^2\,b^2,z,k\right)}^3+d\,{\mathrm{root}\left(z^4-z^3\,\left(2\,a+2\,b\right)+z^2\,\left(-d+4\,a\,b+a^2+b^2\right)-2\,a\,b\,z\,\left(a+b\right)+a^2\,b^2,z,k\right)}^2\right)}{\left(\mathrm{root}\left(z^4-z^3\,\left(2\,a+2\,b\right)+z^2\,\left(-d+4\,a\,b+a^2+b^2\right)-2\,a\,b\,z\,\left(a+b\right)+a^2\,b^2,z,k\right)-b\right)\,\sqrt{x\,\left(a-x\right)\,\left(b-x\right)}\,\left(a^2\,b-a^2\,\mathrm{root}\left(z^4-z^3\,\left(2\,a+2\,b\right)+z^2\,\left(-d+4\,a\,b+a^2+b^2\right)-2\,a\,b\,z\,\left(a+b\right)+a^2\,b^2,z,k\right)+a\,b^2-4\,a\,b\,\mathrm{root}\left(z^4-z^3\,\left(2\,a+2\,b\right)+z^2\,\left(-d+4\,a\,b+a^2+b^2\right)-2\,a\,b\,z\,\left(a+b\right)+a^2\,b^2,z,k\right)+3\,a\,{\mathrm{root}\left(z^4-z^3\,\left(2\,a+2\,b\right)+z^2\,\left(-d+4\,a\,b+a^2+b^2\right)-2\,a\,b\,z\,\left(a+b\right)+a^2\,b^2,z,k\right)}^2-b^2\,\mathrm{root}\left(z^4-z^3\,\left(2\,a+2\,b\right)+z^2\,\left(-d+4\,a\,b+a^2+b^2\right)-2\,a\,b\,z\,\left(a+b\right)+a^2\,b^2,z,k\right)+3\,b\,{\mathrm{root}\left(z^4-z^3\,\left(2\,a+2\,b\right)+z^2\,\left(-d+4\,a\,b+a^2+b^2\right)-2\,a\,b\,z\,\left(a+b\right)+a^2\,b^2,z,k\right)}^2-2\,{\mathrm{root}\left(z^4-z^3\,\left(2\,a+2\,b\right)+z^2\,\left(-d+4\,a\,b+a^2+b^2\right)-2\,a\,b\,z\,\left(a+b\right)+a^2\,b^2,z,k\right)}^3+d\,\mathrm{root}\left(z^4-z^3\,\left(2\,a+2\,b\right)+z^2\,\left(-d+4\,a\,b+a^2+b^2\right)-2\,a\,b\,z\,\left(a+b\right)+a^2\,b^2,z,k\right)\right)}\right)\right)-\frac{2\,b\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{b-x}{b}}\right)\middle|-\frac{b}{a-b}\right)\,\sqrt{\frac{x}{b}}\,\sqrt{\frac{b-x}{b}}\,\sqrt{\frac{a-x}{a-b}}}{\sqrt{x^3+\left(-a-b\right)\,x^2+a\,b\,x}}","Not used",1,"symsum(-(b*(x/b)^(1/2)*((b - x)/b)^(1/2)*((a - x)/(a - b))^(1/2)*ellipticPi(-b/(root(z^4 - z^3*(2*a + 2*b) + z^2*(- d + 4*a*b + a^2 + b^2) - 2*a*b*z*(a + b) + a^2*b^2, z, k) - b), asin(((b - x)/b)^(1/2)), -b/(a - b))*(a*root(z^4 - z^3*(2*a + 2*b) + z^2*(- d + 4*a*b + a^2 + b^2) - 2*a*b*z*(a + b) + a^2*b^2, z, k)^3 + b*root(z^4 - z^3*(2*a + 2*b) + z^2*(- d + 4*a*b + a^2 + b^2) - 2*a*b*z*(a + b) + a^2*b^2, z, k)^3 + d*root(z^4 - z^3*(2*a + 2*b) + z^2*(- d + 4*a*b + a^2 + b^2) - 2*a*b*z*(a + b) + a^2*b^2, z, k)^2 - a^2*root(z^4 - z^3*(2*a + 2*b) + z^2*(- d + 4*a*b + a^2 + b^2) - 2*a*b*z*(a + b) + a^2*b^2, z, k)^2 - b^2*root(z^4 - z^3*(2*a + 2*b) + z^2*(- d + 4*a*b + a^2 + b^2) - 2*a*b*z*(a + b) + a^2*b^2, z, k)^2 - 2*a^2*b^2 - 4*a*b*root(z^4 - z^3*(2*a + 2*b) + z^2*(- d + 4*a*b + a^2 + b^2) - 2*a*b*z*(a + b) + a^2*b^2, z, k)^2 + 3*a*b^2*root(z^4 - z^3*(2*a + 2*b) + z^2*(- d + 4*a*b + a^2 + b^2) - 2*a*b*z*(a + b) + a^2*b^2, z, k) + 3*b*a^2*root(z^4 - z^3*(2*a + 2*b) + z^2*(- d + 4*a*b + a^2 + b^2) - 2*a*b*z*(a + b) + a^2*b^2, z, k)))/((root(z^4 - z^3*(2*a + 2*b) + z^2*(- d + 4*a*b + a^2 + b^2) - 2*a*b*z*(a + b) + a^2*b^2, z, k) - b)*(x*(a - x)*(b - x))^(1/2)*(3*a*root(z^4 - z^3*(2*a + 2*b) + z^2*(- d + 4*a*b + a^2 + b^2) - 2*a*b*z*(a + b) + a^2*b^2, z, k)^2 - a^2*root(z^4 - z^3*(2*a + 2*b) + z^2*(- d + 4*a*b + a^2 + b^2) - 2*a*b*z*(a + b) + a^2*b^2, z, k) + 3*b*root(z^4 - z^3*(2*a + 2*b) + z^2*(- d + 4*a*b + a^2 + b^2) - 2*a*b*z*(a + b) + a^2*b^2, z, k)^2 - b^2*root(z^4 - z^3*(2*a + 2*b) + z^2*(- d + 4*a*b + a^2 + b^2) - 2*a*b*z*(a + b) + a^2*b^2, z, k) + a*b^2 + a^2*b - 2*root(z^4 - z^3*(2*a + 2*b) + z^2*(- d + 4*a*b + a^2 + b^2) - 2*a*b*z*(a + b) + a^2*b^2, z, k)^3 + d*root(z^4 - z^3*(2*a + 2*b) + z^2*(- d + 4*a*b + a^2 + b^2) - 2*a*b*z*(a + b) + a^2*b^2, z, k) - 4*a*b*root(z^4 - z^3*(2*a + 2*b) + z^2*(- d + 4*a*b + a^2 + b^2) - 2*a*b*z*(a + b) + a^2*b^2, z, k))), k, 1, 4) - (2*b*ellipticF(asin(((b - x)/b)^(1/2)), -b/(a - b))*(x/b)^(1/2)*((b - x)/b)^(1/2)*((a - x)/(a - b))^(1/2))/(x^3 - x^2*(a + b) + a*b*x)^(1/2)","B"
1016,0,-1,77,0.000000,"\text{Not used}","int(-(x^2*(b - a*x^4))/(b + a*x^4)^(3/4),x)","-\int \frac{x^2\,\left(b-a\,x^4\right)}{{\left(a\,x^4+b\right)}^{3/4}} \,d x","Not used",1,"-int((x^2*(b - a*x^4))/(b + a*x^4)^(3/4), x)","F"
1017,1,40,77,0.834618,"\text{Not used}","int(1/(b*x + a*x^4)^(1/4),x)","\frac{4\,x\,{\left(\frac{a\,x^3}{b}+1\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{1}{4};\ \frac{5}{4};\ -\frac{a\,x^3}{b}\right)}{3\,{\left(a\,x^4+b\,x\right)}^{1/4}}","Not used",1,"(4*x*((a*x^3)/b + 1)^(1/4)*hypergeom([1/4, 1/4], 5/4, -(a*x^3)/b))/(3*(b*x + a*x^4)^(1/4))","B"
1018,0,-1,77,0.000000,"\text{Not used}","int(-((a - x)*(b - x)*(a*b - x^2))/((x*(a - x)*(b - x))^(1/2)*(x^2*(a^2*d + b^2*d + 4*a*b*d - 1) + d*x^4 + a^2*b^2*d - 2*d*x^3*(a + b) - 2*a*b*d*x*(a + b))),x)","-\int \frac{\left(a-x\right)\,\left(b-x\right)\,\left(a\,b-x^2\right)}{\sqrt{x\,\left(a-x\right)\,\left(b-x\right)}\,\left(x^2\,\left(d\,a^2+4\,d\,a\,b+d\,b^2-1\right)+d\,x^4+a^2\,b^2\,d-2\,d\,x^3\,\left(a+b\right)-2\,a\,b\,d\,x\,\left(a+b\right)\right)} \,d x","Not used",1,"-int(((a - x)*(b - x)*(a*b - x^2))/((x*(a - x)*(b - x))^(1/2)*(x^2*(a^2*d + b^2*d + 4*a*b*d - 1) + d*x^4 + a^2*b^2*d - 2*d*x^3*(a + b) - 2*a*b*d*x*(a + b))), x)","F"
1019,1,45,77,0.900052,"\text{Not used}","int(1/(x*(x^6 - 1)^(1/4)),x)","\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,{\left(x^6-1\right)}^{1/4}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{6}-\frac{1}{6}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,{\left(x^6-1\right)}^{1/4}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{6}+\frac{1}{6}{}\mathrm{i}\right)","Not used",1,"2^(1/2)*atan(2^(1/2)*(x^6 - 1)^(1/4)*(1/2 - 1i/2))*(1/6 - 1i/6) + 2^(1/2)*atan(2^(1/2)*(x^6 - 1)^(1/4)*(1/2 + 1i/2))*(1/6 + 1i/6)","B"
1020,0,-1,77,0.000000,"\text{Not used}","int(1/((a*x^3 - b*x)^(1/3)*(d + c*x^6)),x)","\int \frac{1}{{\left(a\,x^3-b\,x\right)}^{1/3}\,\left(c\,x^6+d\right)} \,d x","Not used",1,"int(1/((a*x^3 - b*x)^(1/3)*(d + c*x^6)), x)","F"
1021,0,-1,77,0.000000,"\text{Not used}","int(1/((a*x^3 - b*x)^(1/3)*(d + c*x^6)),x)","\int \frac{1}{{\left(a\,x^3-b\,x\right)}^{1/3}\,\left(c\,x^6+d\right)} \,d x","Not used",1,"int(1/((a*x^3 - b*x)^(1/3)*(d + c*x^6)), x)","F"
1022,1,111,77,0.403130,"\text{Not used}","int((x^2 - 1)*(x*(3*x^2 - x^4 - 1)^(1/2) - 1),x)","x-\frac{\left(\frac{x^2}{2}-\frac{3}{4}\right)\,\sqrt{-x^4+3\,x^2-1}}{2}-\frac{\sqrt{-x^4+3\,x^2-1}\,\left(-8\,x^4+6\,x^2+19\right)}{48}-\frac{x^3}{3}-\frac{\ln\left(x^2-\frac{3}{2}-\sqrt{-x^4+3\,x^2-1}\,1{}\mathrm{i}\right)\,15{}\mathrm{i}}{32}+\frac{\ln\left(\sqrt{-x^4+3\,x^2-1}+x^2\,1{}\mathrm{i}-\frac{3}{2}{}\mathrm{i}\right)\,5{}\mathrm{i}}{16}","Not used",1,"x - (log(x^2 - (3*x^2 - x^4 - 1)^(1/2)*1i - 3/2)*15i)/32 + (log((3*x^2 - x^4 - 1)^(1/2) + x^2*1i - 3i/2)*5i)/16 - ((x^2/2 - 3/4)*(3*x^2 - x^4 - 1)^(1/2))/2 - ((3*x^2 - x^4 - 1)^(1/2)*(6*x^2 - 8*x^4 + 19))/48 - x^3/3","B"
1023,0,-1,77,0.000000,"\text{Not used}","int(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)/((x^2 + 1)*(x + (x^2 + 1)^(1/2))^(1/2)),x)","\int \frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}}{\left(x^2+1\right)\,\sqrt{x+\sqrt{x^2+1}}} \,d x","Not used",1,"int(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)/((x^2 + 1)*(x + (x^2 + 1)^(1/2))^(1/2)), x)","F"
1024,0,-1,77,0.000000,"\text{Not used}","int(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)/((x^2 + 1)*(x + (x^2 + 1)^(1/2))^(1/2)),x)","\int \frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}}{\left(x^2+1\right)\,\sqrt{x+\sqrt{x^2+1}}} \,d x","Not used",1,"int(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)/((x^2 + 1)*(x + (x^2 + 1)^(1/2))^(1/2)), x)","F"
1025,0,-1,77,0.000000,"\text{Not used}","int((c + ((b + a^2*x^2)^(1/2) + a*x)^(1/2))^(1/2)/(b + a^2*x^2)^(1/2),x)","\int \frac{\sqrt{c+\sqrt{\sqrt{a^2\,x^2+b}+a\,x}}}{\sqrt{a^2\,x^2+b}} \,d x","Not used",1,"int((c + ((b + a^2*x^2)^(1/2) + a*x)^(1/2))^(1/2)/(b + a^2*x^2)^(1/2), x)","F"
1026,0,-1,78,0.000000,"\text{Not used}","int((x^2 - 1)^(1/2)/(x - 1i)^2,x)","\int \frac{\sqrt{x^2-1}}{{\left(x-\mathrm{i}\right)}^2} \,d x","Not used",1,"int((x^2 - 1)^(1/2)/(x - 1i)^2, x)","F"
1027,1,58,78,0.985973,"\text{Not used}","int(1/(x^3*(b + a*x^2)^(3/4)),x)","\frac{3\,a\,\mathrm{atan}\left(\frac{{\left(a\,x^2+b\right)}^{1/4}}{b^{1/4}}\right)}{4\,b^{7/4}}-\frac{{\left(a\,x^2+b\right)}^{1/4}}{2\,b\,x^2}+\frac{3\,a\,\mathrm{atanh}\left(\frac{{\left(a\,x^2+b\right)}^{1/4}}{b^{1/4}}\right)}{4\,b^{7/4}}","Not used",1,"(3*a*atan((b + a*x^2)^(1/4)/b^(1/4)))/(4*b^(7/4)) - (b + a*x^2)^(1/4)/(2*b*x^2) + (3*a*atanh((b + a*x^2)^(1/4)/b^(1/4)))/(4*b^(7/4))","B"
1028,1,86,78,0.901736,"\text{Not used}","int((2*x - x^2 - 3*x^3 + 1)^4/(3*x - 3*x^2 + x^3 - 1)^(1/4),x)","\frac{{\left(x^3-3\,x^2+3\,x-1\right)}^{3/4}\,\left(\frac{324\,x^{12}}{49}+\frac{816\,x^{11}}{49}+\frac{4152\,x^{10}}{2009}-\frac{2341152\,x^9}{74333}-\frac{73280188\,x^8}{2452989}+\frac{755612080\,x^7}{71136681}+\frac{7981691224\,x^6}{254059575}+\frac{24558982192\,x^5}{1778417025}-\frac{41191965992\,x^4}{6046617885}-\frac{755817342032\,x^3}{78606032505}-\frac{927108501328\,x^2}{235818097515}+\frac{129311109856\,x}{1179090487575}+\frac{5233606389724}{1179090487575}\right)}{x^2-2\,x+1}","Not used",1,"((3*x - 3*x^2 + x^3 - 1)^(3/4)*((129311109856*x)/1179090487575 - (927108501328*x^2)/235818097515 - (755817342032*x^3)/78606032505 - (41191965992*x^4)/6046617885 + (24558982192*x^5)/1778417025 + (7981691224*x^6)/254059575 + (755612080*x^7)/71136681 - (73280188*x^8)/2452989 - (2341152*x^9)/74333 + (4152*x^10)/2009 + (816*x^11)/49 + (324*x^12)/49 + 5233606389724/1179090487575))/(x^2 - 2*x + 1)","B"
1029,1,58,78,1.008871,"\text{Not used}","int(1/(x^4*(b + a*x^3)^(3/4)),x)","\frac{a\,\mathrm{atan}\left(\frac{{\left(a\,x^3+b\right)}^{1/4}}{b^{1/4}}\right)}{2\,b^{7/4}}-\frac{{\left(a\,x^3+b\right)}^{1/4}}{3\,b\,x^3}+\frac{a\,\mathrm{atanh}\left(\frac{{\left(a\,x^3+b\right)}^{1/4}}{b^{1/4}}\right)}{2\,b^{7/4}}","Not used",1,"(a*atan((b + a*x^3)^(1/4)/b^(1/4)))/(2*b^(7/4)) - (b + a*x^3)^(1/4)/(3*b*x^3) + (a*atanh((b + a*x^3)^(1/4)/b^(1/4)))/(2*b^(7/4))","B"
1030,0,-1,78,0.000000,"\text{Not used}","int(x/(10*x^2 - 96*x + x^4 - 71)^(1/2),x)","\int \frac{x}{\sqrt{x^4+10\,x^2-96\,x-71}} \,d x","Not used",1,"int(x/(10*x^2 - 96*x + x^4 - 71)^(1/2), x)","F"
1031,0,-1,78,0.000000,"\text{Not used}","int(((3*x + 8)*(2*x^4 - x - 2)^(1/4))/(x^2*(x + x^4 + 2)),x)","\int \frac{\left(3\,x+8\right)\,{\left(2\,x^4-x-2\right)}^{1/4}}{x^2\,\left(x^4+x+2\right)} \,d x","Not used",1,"int(((3*x + 8)*(2*x^4 - x - 2)^(1/4))/(x^2*(x + x^4 + 2)), x)","F"
1032,1,58,78,1.172684,"\text{Not used}","int(1/(x^5*(b + a*x^4)^(3/4)),x)","\frac{3\,a\,\mathrm{atan}\left(\frac{{\left(a\,x^4+b\right)}^{1/4}}{b^{1/4}}\right)}{8\,b^{7/4}}-\frac{{\left(a\,x^4+b\right)}^{1/4}}{4\,b\,x^4}+\frac{3\,a\,\mathrm{atanh}\left(\frac{{\left(a\,x^4+b\right)}^{1/4}}{b^{1/4}}\right)}{8\,b^{7/4}}","Not used",1,"(3*a*atan((b + a*x^4)^(1/4)/b^(1/4)))/(8*b^(7/4)) - (b + a*x^4)^(1/4)/(4*b*x^4) + (3*a*atanh((b + a*x^4)^(1/4)/b^(1/4)))/(8*b^(7/4))","B"
1033,1,58,78,1.038242,"\text{Not used}","int(1/(x^6*(b + a*x^5)^(3/4)),x)","\frac{3\,a\,\mathrm{atan}\left(\frac{{\left(a\,x^5+b\right)}^{1/4}}{b^{1/4}}\right)}{10\,b^{7/4}}-\frac{{\left(a\,x^5+b\right)}^{1/4}}{5\,b\,x^5}+\frac{3\,a\,\mathrm{atanh}\left(\frac{{\left(a\,x^5+b\right)}^{1/4}}{b^{1/4}}\right)}{10\,b^{7/4}}","Not used",1,"(3*a*atan((b + a*x^5)^(1/4)/b^(1/4)))/(10*b^(7/4)) - (b + a*x^5)^(1/4)/(5*b*x^5) + (3*a*atanh((b + a*x^5)^(1/4)/b^(1/4)))/(10*b^(7/4))","B"
1034,0,-1,78,0.000000,"\text{Not used}","int(((x^3 - 1)^(2/3)*(x^6 - 2*x^3 + 1))/(x^6*(x^6 - x^3 + 1)),x)","\int \frac{{\left(x^3-1\right)}^{2/3}\,\left(x^6-2\,x^3+1\right)}{x^6\,\left(x^6-x^3+1\right)} \,d x","Not used",1,"int(((x^3 - 1)^(2/3)*(x^6 - 2*x^3 + 1))/(x^6*(x^6 - x^3 + 1)), x)","F"
1035,0,-1,78,0.000000,"\text{Not used}","int(((x^3 - 1)^(2/3)*(x^6 - 2*x^3 + 1))/(x^6*(x^6 - x^3 + 1)),x)","\int \frac{{\left(x^3-1\right)}^{2/3}\,\left(x^6-2\,x^3+1\right)}{x^6\,\left(x^6-x^3+1\right)} \,d x","Not used",1,"int(((x^3 - 1)^(2/3)*(x^6 - 2*x^3 + 1))/(x^6*(x^6 - x^3 + 1)), x)","F"
1036,1,58,78,1.068284,"\text{Not used}","int(1/(x^7*(b + a*x^6)^(3/4)),x)","\frac{a\,\mathrm{atan}\left(\frac{{\left(a\,x^6+b\right)}^{1/4}}{b^{1/4}}\right)}{4\,b^{7/4}}-\frac{{\left(a\,x^6+b\right)}^{1/4}}{6\,b\,x^6}+\frac{a\,\mathrm{atanh}\left(\frac{{\left(a\,x^6+b\right)}^{1/4}}{b^{1/4}}\right)}{4\,b^{7/4}}","Not used",1,"(a*atan((b + a*x^6)^(1/4)/b^(1/4)))/(4*b^(7/4)) - (b + a*x^6)^(1/4)/(6*b*x^6) + (a*atanh((b + a*x^6)^(1/4)/b^(1/4)))/(4*b^(7/4))","B"
1037,0,-1,78,0.000000,"\text{Not used}","int(((x^4 - 1)^(1/4)*(x^8 - 1))/(x^6*(x^8 + 1)),x)","\int \frac{{\left(x^4-1\right)}^{1/4}\,\left(x^8-1\right)}{x^6\,\left(x^8+1\right)} \,d x","Not used",1,"int(((x^4 - 1)^(1/4)*(x^8 - 1))/(x^6*(x^8 + 1)), x)","F"
1038,0,-1,78,0.000000,"\text{Not used}","int((x^8 - 1)/((x^4 + 1)^(1/4)*(x^8 + 1)),x)","\int \frac{x^8-1}{{\left(x^4+1\right)}^{1/4}\,\left(x^8+1\right)} \,d x","Not used",1,"int((x^8 - 1)/((x^4 + 1)^(1/4)*(x^8 + 1)), x)","F"
1039,0,-1,78,0.000000,"\text{Not used}","int((x^8 - 1)/((x^4 + 1)^(1/4)*(x^8 + 1)),x)","\int \frac{x^8-1}{{\left(x^4+1\right)}^{1/4}\,\left(x^8+1\right)} \,d x","Not used",1,"int((x^8 - 1)/((x^4 + 1)^(1/4)*(x^8 + 1)), x)","F"
1040,0,-1,78,0.000000,"\text{Not used}","int(((x^4 - 1)^(1/4)*(x^8 - x^4 + 1))/(x^6*(2*x^8 + 1)),x)","\int \frac{{\left(x^4-1\right)}^{1/4}\,\left(x^8-x^4+1\right)}{x^6\,\left(2\,x^8+1\right)} \,d x","Not used",1,"int(((x^4 - 1)^(1/4)*(x^8 - x^4 + 1))/(x^6*(2*x^8 + 1)), x)","F"
1041,0,-1,78,0.000000,"\text{Not used}","int(((x^4 - 1)^(1/4)*(x^8 - x^4 + 1))/(x^6*(2*x^8 + 1)),x)","\int \frac{{\left(x^4-1\right)}^{1/4}\,\left(x^8-x^4+1\right)}{x^6\,\left(2\,x^8+1\right)} \,d x","Not used",1,"int(((x^4 - 1)^(1/4)*(x^8 - x^4 + 1))/(x^6*(2*x^8 + 1)), x)","F"
1042,1,47,78,1.239523,"\text{Not used}","int(((2*x^4 + 1)*(2*x^8 + 1)^(1/2))/x,x)","\frac{\sqrt{2}\,\mathrm{asinh}\left(\sqrt{2}\,x^4\right)}{8}-\frac{\mathrm{atanh}\left(\sqrt{2}\,\sqrt{x^8+\frac{1}{2}}\right)}{4}+\frac{\sqrt{2}\,\sqrt{x^8+\frac{1}{2}}\,\left(\frac{x^4}{2}+\frac{1}{2}\right)}{2}","Not used",1,"(2^(1/2)*asinh(2^(1/2)*x^4))/8 - atanh(2^(1/2)*(x^8 + 1/2)^(1/2))/4 + (2^(1/2)*(x^8 + 1/2)^(1/2)*(x^4/2 + 1/2))/2","B"
1043,0,-1,78,0.000000,"\text{Not used}","int((x + (x + 1)^(1/2))^(1/2),x)","\int \sqrt{x+\sqrt{x+1}} \,d x","Not used",1,"int((x + (x + 1)^(1/2))^(1/2), x)","F"
1044,1,65,79,1.136991,"\text{Not used}","int((2*b + a*x^2)/(x*(b^2 + a^2*x^2)^(3/4)),x)","\frac{2\,{\left(a^2\,x^2+b^2\right)}^{1/4}}{a}-\frac{2\,\mathrm{atanh}\left(\frac{{\left(a^2\,x^2+b^2\right)}^{1/4}}{\sqrt{b}}\right)}{\sqrt{b}}-\frac{2\,\mathrm{atan}\left(\frac{{\left(a^2\,x^2+b^2\right)}^{1/4}}{\sqrt{b}}\right)}{\sqrt{b}}","Not used",1,"(2*(b^2 + a^2*x^2)^(1/4))/a - (2*atanh((b^2 + a^2*x^2)^(1/4)/b^(1/2)))/b^(1/2) - (2*atan((b^2 + a^2*x^2)^(1/4)/b^(1/2)))/b^(1/2)","B"
1045,1,695,79,0.872030,"\text{Not used}","int((x^3 - a*b*x)/((a - x)*(b - x)*(d*x^2 - x*(a*d + b*d + 1) + a*b*d)*(x*(a - x)*(b - x))^(1/2)),x)","-\frac{2\,a\,\sqrt{\frac{x}{a}}\,\left(\mathrm{E}\left(\mathrm{asin}\left(\sqrt{\frac{x}{a}}\right)\middle|\frac{a}{b}\right)-\frac{a\,\sin\left(2\,\mathrm{asin}\left(\sqrt{\frac{x}{a}}\right)\right)}{2\,b\,\sqrt{1-\frac{x}{b}}}\right)\,\sqrt{\frac{a-x}{a}}\,\sqrt{\frac{b-x}{b}}}{\left(\frac{a}{b}-1\right)\,\sqrt{x^3+\left(-a-b\right)\,x^2+a\,b\,x}}-\frac{b\,\sqrt{\frac{x}{b}}\,\sqrt{\frac{b-x}{b}}\,\sqrt{\frac{a-x}{a-b}}\,\Pi \left(\frac{b}{b-\frac{a\,d+b\,d+\sqrt{a^2\,d^2-2\,a\,b\,d^2+2\,a\,d+b^2\,d^2+2\,b\,d+1}+1}{2\,d}};\mathrm{asin}\left(\sqrt{\frac{b-x}{b}}\right)\middle|-\frac{b}{a-b}\right)\,\left(a\,d+b\,d+\sqrt{a^2\,d^2-2\,a\,b\,d^2+2\,a\,d+b^2\,d^2+2\,b\,d+1}+1\right)}{d\,\left(b-\frac{a\,d+b\,d+\sqrt{a^2\,d^2-2\,a\,b\,d^2+2\,a\,d+b^2\,d^2+2\,b\,d+1}+1}{2\,d}\right)\,\sqrt{x^3+\left(-a-b\right)\,x^2+a\,b\,x}}-\frac{b\,\sqrt{\frac{x}{b}}\,\sqrt{\frac{b-x}{b}}\,\sqrt{\frac{a-x}{a-b}}\,\Pi \left(\frac{b}{b-\frac{a\,d+b\,d-\sqrt{a^2\,d^2-2\,a\,b\,d^2+2\,a\,d+b^2\,d^2+2\,b\,d+1}+1}{2\,d}};\mathrm{asin}\left(\sqrt{\frac{b-x}{b}}\right)\middle|-\frac{b}{a-b}\right)\,\left(a\,d+b\,d-\sqrt{a^2\,d^2-2\,a\,b\,d^2+2\,a\,d+b^2\,d^2+2\,b\,d+1}+1\right)}{d\,\left(b-\frac{a\,d+b\,d-\sqrt{a^2\,d^2-2\,a\,b\,d^2+2\,a\,d+b^2\,d^2+2\,b\,d+1}+1}{2\,d}\right)\,\sqrt{x^3+\left(-a-b\right)\,x^2+a\,b\,x}}-\frac{2\,a\,b\,\left(\mathrm{E}\left(\mathrm{asin}\left(\sqrt{\frac{b-x}{b}}\right)\middle|-\frac{b}{a-b}\right)+\frac{b\,\sin\left(2\,\mathrm{asin}\left(\sqrt{\frac{b-x}{b}}\right)\right)}{2\,\sqrt{\frac{b-x}{a-b}+1}\,\left(a-b\right)}\right)\,\sqrt{\frac{x}{b}}\,\sqrt{\frac{b-x}{b}}\,\sqrt{\frac{a-x}{a-b}}}{\left(\frac{b}{a-b}+1\right)\,\left(a-b\right)\,\sqrt{x^3+\left(-a-b\right)\,x^2+a\,b\,x}}","Not used",1,"- (2*a*(x/a)^(1/2)*(ellipticE(asin((x/a)^(1/2)), a/b) - (a*sin(2*asin((x/a)^(1/2))))/(2*b*(1 - x/b)^(1/2)))*((a - x)/a)^(1/2)*((b - x)/b)^(1/2))/((a/b - 1)*(x^3 - x^2*(a + b) + a*b*x)^(1/2)) - (b*(x/b)^(1/2)*((b - x)/b)^(1/2)*((a - x)/(a - b))^(1/2)*ellipticPi(b/(b - (a*d + b*d + (2*a*d + 2*b*d + a^2*d^2 + b^2*d^2 - 2*a*b*d^2 + 1)^(1/2) + 1)/(2*d)), asin(((b - x)/b)^(1/2)), -b/(a - b))*(a*d + b*d + (2*a*d + 2*b*d + a^2*d^2 + b^2*d^2 - 2*a*b*d^2 + 1)^(1/2) + 1))/(d*(b - (a*d + b*d + (2*a*d + 2*b*d + a^2*d^2 + b^2*d^2 - 2*a*b*d^2 + 1)^(1/2) + 1)/(2*d))*(x^3 - x^2*(a + b) + a*b*x)^(1/2)) - (b*(x/b)^(1/2)*((b - x)/b)^(1/2)*((a - x)/(a - b))^(1/2)*ellipticPi(b/(b - (a*d + b*d - (2*a*d + 2*b*d + a^2*d^2 + b^2*d^2 - 2*a*b*d^2 + 1)^(1/2) + 1)/(2*d)), asin(((b - x)/b)^(1/2)), -b/(a - b))*(a*d + b*d - (2*a*d + 2*b*d + a^2*d^2 + b^2*d^2 - 2*a*b*d^2 + 1)^(1/2) + 1))/(d*(b - (a*d + b*d - (2*a*d + 2*b*d + a^2*d^2 + b^2*d^2 - 2*a*b*d^2 + 1)^(1/2) + 1)/(2*d))*(x^3 - x^2*(a + b) + a*b*x)^(1/2)) - (2*a*b*(ellipticE(asin(((b - x)/b)^(1/2)), -b/(a - b)) + (b*sin(2*asin(((b - x)/b)^(1/2))))/(2*((b - x)/(a - b) + 1)^(1/2)*(a - b)))*(x/b)^(1/2)*((b - x)/b)^(1/2)*((a - x)/(a - b))^(1/2))/((b/(a - b) + 1)*(a - b)*(x^3 - x^2*(a + b) + a*b*x)^(1/2))","B"
1046,0,-1,79,0.000000,"\text{Not used}","int((2*x*(k - 1) + k*x^2 - 1)/((x*(k*x - 1)*(x - 1))^(1/4)*(x*(d + 3) - x^2*(d*k + 3) + x^3 - 1)),x)","\int \frac{2\,x\,\left(k-1\right)+k\,x^2-1}{{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{1/4}\,\left(x^3+\left(-d\,k-3\right)\,x^2+\left(d+3\right)\,x-1\right)} \,d x","Not used",1,"int((2*x*(k - 1) + k*x^2 - 1)/((x*(k*x - 1)*(x - 1))^(1/4)*(x*(d + 3) - x^2*(d*k + 3) + x^3 - 1)), x)","F"
1047,1,232,79,0.758726,"\text{Not used}","int((x^4 + 1)/((x^3 - x)^(1/2)*(x^4 - 1)),x)","\frac{\sqrt{-x}\,\left(\frac{\sin\left(2\,\mathrm{asin}\left(\sqrt{-x}\right)\right)}{4\,\sqrt{1-x}}+\frac{\mathrm{E}\left(\mathrm{asin}\left(\sqrt{-x}\right)\middle|-1\right)}{2}\right)\,\sqrt{1-x}\,\sqrt{x+1}}{\sqrt{x^3-x}}+\frac{\sqrt{-x}\,\sqrt{1-x}\,\sqrt{x+1}\,\Pi \left(-\mathrm{i};\mathrm{asin}\left(\sqrt{-x}\right)\middle|-1\right)}{\sqrt{x^3-x}}+\frac{\sqrt{-x}\,\sqrt{1-x}\,\sqrt{x+1}\,\Pi \left(1{}\mathrm{i};\mathrm{asin}\left(\sqrt{-x}\right)\middle|-1\right)}{\sqrt{x^3-x}}-\frac{2\,\sqrt{-x}\,\sqrt{1-x}\,\sqrt{x+1}\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{-x}\right)\middle|-1\right)}{\sqrt{x^3-x}}+\frac{\sqrt{-x}\,\sqrt{1-x}\,\sqrt{x+1}\,\left(\mathrm{F}\left(\mathrm{asin}\left(\sqrt{-x}\right)\middle|-1\right)-\frac{\mathrm{E}\left(\mathrm{asin}\left(\sqrt{-x}\right)\middle|-1\right)}{2}+\frac{\sqrt{-x}\,\sqrt{1-x}}{2\,\sqrt{x+1}}\right)}{\sqrt{x^3-x}}","Not used",1,"((-x)^(1/2)*(1 - x)^(1/2)*(x + 1)^(1/2)*ellipticPi(-1i, asin((-x)^(1/2)), -1))/(x^3 - x)^(1/2) - (2*(-x)^(1/2)*(1 - x)^(1/2)*(x + 1)^(1/2)*ellipticF(asin((-x)^(1/2)), -1))/(x^3 - x)^(1/2) + ((-x)^(1/2)*(1 - x)^(1/2)*(x + 1)^(1/2)*ellipticPi(1i, asin((-x)^(1/2)), -1))/(x^3 - x)^(1/2) + ((-x)^(1/2)*(sin(2*asin((-x)^(1/2)))/(4*(1 - x)^(1/2)) + ellipticE(asin((-x)^(1/2)), -1)/2)*(1 - x)^(1/2)*(x + 1)^(1/2))/(x^3 - x)^(1/2) + ((-x)^(1/2)*(1 - x)^(1/2)*(x + 1)^(1/2)*(ellipticF(asin((-x)^(1/2)), -1) - ellipticE(asin((-x)^(1/2)), -1)/2 + ((-x)^(1/2)*(1 - x)^(1/2))/(2*(x + 1)^(1/2))))/(x^3 - x)^(1/2)","B"
1048,0,-1,79,0.000000,"\text{Not used}","int(((x^2 + 2)*(x^4 - 5*x^2 + 4)^(1/2))/(x^2*(2*x + x^2 - 2)),x)","\int \frac{\left(x^2+2\right)\,\sqrt{x^4-5\,x^2+4}}{x^2\,\left(x^2+2\,x-2\right)} \,d x","Not used",1,"int(((x^2 + 2)*(x^4 - 5*x^2 + 4)^(1/2))/(x^2*(2*x + x^2 - 2)), x)","F"
1049,0,-1,79,0.000000,"\text{Not used}","int(x^2/((x^2 + x^4)^(1/4)*(x^4 - 1)),x)","\int \frac{x^2}{{\left(x^4+x^2\right)}^{1/4}\,\left(x^4-1\right)} \,d x","Not used",1,"int(x^2/((x^2 + x^4)^(1/4)*(x^4 - 1)), x)","F"
1050,0,-1,79,0.000000,"\text{Not used}","int(((x^6 - 1)^(1/2)*(x^6 - 2))/(x^4*(x^6 + 2)),x)","\int \frac{\sqrt{x^6-1}\,\left(x^6-2\right)}{x^4\,\left(x^6+2\right)} \,d x","Not used",1,"int(((x^6 - 1)^(1/2)*(x^6 - 2))/(x^4*(x^6 + 2)), x)","F"
1051,0,-1,79,0.000000,"\text{Not used}","int(((x^6 - 4)*(x^6 - x^4 + 2)^(5/2))/(x^7*(x^6 + 2)^2),x)","\int \frac{\left(x^6-4\right)\,{\left(x^6-x^4+2\right)}^{5/2}}{x^7\,{\left(x^6+2\right)}^2} \,d x","Not used",1,"int(((x^6 - 4)*(x^6 - x^4 + 2)^(5/2))/(x^7*(x^6 + 2)^2), x)","F"
1052,0,-1,79,0.000000,"\text{Not used}","int(((x^3 - 1)^(2/3)*(x^3 + 2))/(x^6*(x^3 + 2*x^6 + 2)),x)","\int \frac{{\left(x^3-1\right)}^{2/3}\,\left(x^3+2\right)}{x^6\,\left(2\,x^6+x^3+2\right)} \,d x","Not used",1,"int(((x^3 - 1)^(2/3)*(x^3 + 2))/(x^6*(x^3 + 2*x^6 + 2)), x)","F"
1053,0,-1,79,0.000000,"\text{Not used}","int(((x^3 - 1)^(2/3)*(x^3 + 2))/(x^6*(x^3 + 2*x^6 + 2)),x)","\int \frac{{\left(x^3-1\right)}^{2/3}\,\left(x^3+2\right)}{x^6\,\left(2\,x^6+x^3+2\right)} \,d x","Not used",1,"int(((x^3 - 1)^(2/3)*(x^3 + 2))/(x^6*(x^3 + 2*x^6 + 2)), x)","F"
1054,0,-1,79,0.000000,"\text{Not used}","int((x + x^7)/((x^6 - 1)^(2/3)*(x^3 + x^6 - 1)),x)","\int \frac{x^7+x}{{\left(x^6-1\right)}^{2/3}\,\left(x^6+x^3-1\right)} \,d x","Not used",1,"int((x + x^7)/((x^6 - 1)^(2/3)*(x^3 + x^6 - 1)), x)","F"
1055,0,-1,79,0.000000,"\text{Not used}","int(((1 - x^6)^(1/2)*(2*x^6 + 1))/(x^4 - 2*x^6 + x^12 + 1),x)","\int \frac{\sqrt{1-x^6}\,\left(2\,x^6+1\right)}{x^{12}-2\,x^6+x^4+1} \,d x","Not used",1,"int(((1 - x^6)^(1/2)*(2*x^6 + 1))/(x^4 - 2*x^6 + x^12 + 1), x)","F"
1056,0,-1,79,0.000000,"\text{Not used}","int((x^2 + 1)^(1/2)/((x^2 + 1)^(1/2) + 1)^(1/2),x)","\int \frac{\sqrt{x^2+1}}{\sqrt{\sqrt{x^2+1}+1}} \,d x","Not used",1,"int((x^2 + 1)^(1/2)/((x^2 + 1)^(1/2) + 1)^(1/2), x)","F"
1057,0,-1,79,0.000000,"\text{Not used}","int((x^2 + 1)/(x + (x^2 + 1)^(1/2))^(1/2),x)","\int \frac{x^2+1}{\sqrt{x+\sqrt{x^2+1}}} \,d x","Not used",1,"int((x^2 + 1)/(x + (x^2 + 1)^(1/2))^(1/2), x)","F"
1058,0,-1,79,0.000000,"\text{Not used}","int(x^2/((x^4 + 1)^(1/2) + x^2)^(1/2),x)","\int \frac{x^2}{\sqrt{\sqrt{x^4+1}+x^2}} \,d x","Not used",1,"int(x^2/((x^4 + 1)^(1/2) + x^2)^(1/2), x)","F"
1059,0,-1,79,0.000000,"\text{Not used}","int((x^4 + 1)^(1/2)/((x^4 + 1)^(1/2) + x^2)^(1/2),x)","\int \frac{\sqrt{x^4+1}}{\sqrt{\sqrt{x^4+1}+x^2}} \,d x","Not used",1,"int((x^4 + 1)^(1/2)/((x^4 + 1)^(1/2) + x^2)^(1/2), x)","F"
1060,0,-1,80,0.000000,"\text{Not used}","int((x^2 - 3)/((x^2 - 1)^(1/3)*(x^2 + x^3 - 1)),x)","\int \frac{x^2-3}{{\left(x^2-1\right)}^{1/3}\,\left(x^3+x^2-1\right)} \,d x","Not used",1,"int((x^2 - 3)/((x^2 - 1)^(1/3)*(x^2 + x^3 - 1)), x)","F"
1061,1,628,80,0.869259,"\text{Not used}","int((a^2*b + 3*a*x^2 - x^3 - a*x*(2*a + b))/(x*(b - x)*(x*(a - x)*(b - x))^(1/2)*(a - x*(b*d + 1) + d*x^2)),x)","\frac{2\,a\,\left(\frac{\mathrm{E}\left(\mathrm{asin}\left(\sqrt{\frac{b-x}{b}}\right)\middle|-\frac{b}{a-b}\right)-\frac{\sqrt{\frac{b-x}{a-b}+1}\,\sqrt{\frac{b-x}{b}}}{\sqrt{1-\frac{b-x}{b}}}}{\frac{b}{a-b}+1}-\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{b-x}{b}}\right)\middle|-\frac{b}{a-b}\right)\right)\,\sqrt{\frac{x}{b}}\,\sqrt{\frac{b-x}{b}}\,\sqrt{\frac{a-x}{a-b}}}{\sqrt{x^3+\left(-a-b\right)\,x^2+a\,b\,x}}+\frac{b\,\sqrt{\frac{x}{b}}\,\sqrt{\frac{b-x}{b}}\,\sqrt{\frac{a-x}{a-b}}\,\Pi \left(\frac{b}{b-\frac{b\,d-\sqrt{b^2\,d^2+2\,b\,d-4\,a\,d+1}+1}{2\,d}};\mathrm{asin}\left(\sqrt{\frac{b-x}{b}}\right)\middle|-\frac{b}{a-b}\right)\,\left(2\,a\,d-b\,d+\sqrt{b^2\,d^2+2\,b\,d-4\,a\,d+1}-1\right)}{d\,\left(b-\frac{b\,d-\sqrt{b^2\,d^2+2\,b\,d-4\,a\,d+1}+1}{2\,d}\right)\,\sqrt{x^3+\left(-a-b\right)\,x^2+a\,b\,x}}+\frac{2\,a\,\left(a-b\right)\,\sqrt{\frac{x}{a}}\,\left(\mathrm{E}\left(\mathrm{asin}\left(\sqrt{\frac{x}{a}}\right)\middle|\frac{a}{b}\right)-\frac{a\,\sin\left(2\,\mathrm{asin}\left(\sqrt{\frac{x}{a}}\right)\right)}{2\,b\,\sqrt{1-\frac{x}{b}}}\right)\,\sqrt{\frac{a-x}{a}}\,\sqrt{\frac{b-x}{b}}}{b\,\left(\frac{a}{b}-1\right)\,\sqrt{x^3+\left(-a-b\right)\,x^2+a\,b\,x}}-\frac{b\,\sqrt{\frac{x}{b}}\,\sqrt{\frac{b-x}{b}}\,\sqrt{\frac{a-x}{a-b}}\,\Pi \left(\frac{b}{b-\frac{b\,d+\sqrt{b^2\,d^2+2\,b\,d-4\,a\,d+1}+1}{2\,d}};\mathrm{asin}\left(\sqrt{\frac{b-x}{b}}\right)\middle|-\frac{b}{a-b}\right)\,\left(b\,d-2\,a\,d+\sqrt{b^2\,d^2+2\,b\,d-4\,a\,d+1}+1\right)}{d\,\left(b-\frac{b\,d+\sqrt{b^2\,d^2+2\,b\,d-4\,a\,d+1}+1}{2\,d}\right)\,\sqrt{x^3+\left(-a-b\right)\,x^2+a\,b\,x}}","Not used",1,"(2*a*((ellipticE(asin(((b - x)/b)^(1/2)), -b/(a - b)) - (((b - x)/(a - b) + 1)^(1/2)*((b - x)/b)^(1/2))/(1 - (b - x)/b)^(1/2))/(b/(a - b) + 1) - ellipticF(asin(((b - x)/b)^(1/2)), -b/(a - b)))*(x/b)^(1/2)*((b - x)/b)^(1/2)*((a - x)/(a - b))^(1/2))/(x^3 - x^2*(a + b) + a*b*x)^(1/2) + (b*(x/b)^(1/2)*((b - x)/b)^(1/2)*((a - x)/(a - b))^(1/2)*ellipticPi(b/(b - (b*d - (2*b*d - 4*a*d + b^2*d^2 + 1)^(1/2) + 1)/(2*d)), asin(((b - x)/b)^(1/2)), -b/(a - b))*(2*a*d - b*d + (2*b*d - 4*a*d + b^2*d^2 + 1)^(1/2) - 1))/(d*(b - (b*d - (2*b*d - 4*a*d + b^2*d^2 + 1)^(1/2) + 1)/(2*d))*(x^3 - x^2*(a + b) + a*b*x)^(1/2)) + (2*a*(a - b)*(x/a)^(1/2)*(ellipticE(asin((x/a)^(1/2)), a/b) - (a*sin(2*asin((x/a)^(1/2))))/(2*b*(1 - x/b)^(1/2)))*((a - x)/a)^(1/2)*((b - x)/b)^(1/2))/(b*(a/b - 1)*(x^3 - x^2*(a + b) + a*b*x)^(1/2)) - (b*(x/b)^(1/2)*((b - x)/b)^(1/2)*((a - x)/(a - b))^(1/2)*ellipticPi(b/(b - (b*d + (2*b*d - 4*a*d + b^2*d^2 + 1)^(1/2) + 1)/(2*d)), asin(((b - x)/b)^(1/2)), -b/(a - b))*(b*d - 2*a*d + (2*b*d - 4*a*d + b^2*d^2 + 1)^(1/2) + 1))/(d*(b - (b*d + (2*b*d - 4*a*d + b^2*d^2 + 1)^(1/2) + 1)/(2*d))*(x^3 - x^2*(a + b) + a*b*x)^(1/2))","B"
1062,0,-1,80,0.000000,"\text{Not used}","int(1/((b + a^3*x^3)*(a^3*x^3 - b*x^2)^(1/3)),x)","\int \frac{1}{\left(a^3\,x^3+b\right)\,{\left(a^3\,x^3-b\,x^2\right)}^{1/3}} \,d x","Not used",1,"int(1/((b + a^3*x^3)*(a^3*x^3 - b*x^2)^(1/3)), x)","F"
1063,0,-1,80,0.000000,"\text{Not used}","int(1/((b + a^3*x^3)*(a^3*x^3 - b*x^2)^(1/3)),x)","\int \frac{1}{\left(a^3\,x^3+b\right)\,{\left(a^3\,x^3-b\,x^2\right)}^{1/3}} \,d x","Not used",1,"int(1/((b + a^3*x^3)*(a^3*x^3 - b*x^2)^(1/3)), x)","F"
1064,0,-1,80,0.000000,"\text{Not used}","int((x^2*(x^3 - 4))/((x^3 - 1)^(3/4)*(x^3 + x^4 - 1)),x)","\int \frac{x^2\,\left(x^3-4\right)}{{\left(x^3-1\right)}^{3/4}\,\left(x^4+x^3-1\right)} \,d x","Not used",1,"int((x^2*(x^3 - 4))/((x^3 - 1)^(3/4)*(x^3 + x^4 - 1)), x)","F"
1065,0,-1,80,0.000000,"\text{Not used}","int(x^6/(b + a*x^4)^(3/4),x)","\int \frac{x^6}{{\left(a\,x^4+b\right)}^{3/4}} \,d x","Not used",1,"int(x^6/(b + a*x^4)^(3/4), x)","F"
1066,1,44,80,0.983141,"\text{Not used}","int((a*x^4 + b*x^2)^(1/4)/x^2,x)","-\frac{2\,{\left(a\,x^4+b\,x^2\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{4},-\frac{1}{4};\ \frac{3}{4};\ -\frac{a\,x^2}{b}\right)}{x\,{\left(\frac{a\,x^2}{b}+1\right)}^{1/4}}","Not used",1,"-(2*(a*x^4 + b*x^2)^(1/4)*hypergeom([-1/4, -1/4], 3/4, -(a*x^2)/b))/(x*((a*x^2)/b + 1)^(1/4))","B"
1067,0,-1,80,0.000000,"\text{Not used}","int(-((x^4 + 2)^(1/4)*(x^8 - 4))/(x^6*(2*x^4 - x^8 + 4)),x)","-\int \frac{{\left(x^4+2\right)}^{1/4}\,\left(x^8-4\right)}{x^6\,\left(-x^8+2\,x^4+4\right)} \,d x","Not used",1,"-int(((x^4 + 2)^(1/4)*(x^8 - 4))/(x^6*(2*x^4 - x^8 + 4)), x)","F"
1068,0,-1,80,0.000000,"\text{Not used}","int(-((x^4 + 2)^(1/4)*(x^8 - 4))/(x^6*(2*x^4 - x^8 + 4)),x)","-\int \frac{{\left(x^4+2\right)}^{1/4}\,\left(x^8-4\right)}{x^6\,\left(-x^8+2\,x^4+4\right)} \,d x","Not used",1,"-int(((x^4 + 2)^(1/4)*(x^8 - 4))/(x^6*(2*x^4 - x^8 + 4)), x)","F"
1069,0,-1,80,0.000000,"\text{Not used}","int(((x^4 - 1)^(1/4)*(x^4 + 2*x^8 - 1))/(x^6*(x^8 - x^4 + 1)),x)","\int \frac{{\left(x^4-1\right)}^{1/4}\,\left(2\,x^8+x^4-1\right)}{x^6\,\left(x^8-x^4+1\right)} \,d x","Not used",1,"int(((x^4 - 1)^(1/4)*(x^4 + 2*x^8 - 1))/(x^6*(x^8 - x^4 + 1)), x)","F"
1070,0,-1,80,0.000000,"\text{Not used}","int(((x^4 - 1)^(1/4)*(x^4 + 2*x^8 - 1))/(x^6*(x^8 - x^4 + 1)),x)","\int \frac{{\left(x^4-1\right)}^{1/4}\,\left(2\,x^8+x^4-1\right)}{x^6\,\left(x^8-x^4+1\right)} \,d x","Not used",1,"int(((x^4 - 1)^(1/4)*(x^4 + 2*x^8 - 1))/(x^6*(x^8 - x^4 + 1)), x)","F"
1071,0,-1,81,0.000000,"\text{Not used}","int(-(2*a*b - x*(a + b))/((x^2*(d - 1) - d*x*(a + b) + a*b*d)*(x^2*(a - x)*(b - x))^(1/4)),x)","\int -\frac{2\,a\,b-x\,\left(a+b\right)}{\left(\left(d-1\right)\,x^2-d\,\left(a+b\right)\,x+a\,b\,d\right)\,{\left(x^2\,\left(a-x\right)\,\left(b-x\right)\right)}^{1/4}} \,d x","Not used",1,"int(-(2*a*b - x*(a + b))/((x^2*(d - 1) - d*x*(a + b) + a*b*d)*(x^2*(a - x)*(b - x))^(1/4)), x)","F"
1072,1,75,81,0.826946,"\text{Not used}","int((x^3 + 1)^(1/3)/x,x)","\frac{\ln\left({\left(x^3+1\right)}^{1/3}-1\right)}{3}+{\left(x^3+1\right)}^{1/3}+\ln\left(3\,{\left(x^3+1\right)}^{1/3}+\frac{3}{2}-\frac{\sqrt{3}\,3{}\mathrm{i}}{2}\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)-\ln\left(3\,{\left(x^3+1\right)}^{1/3}+\frac{3}{2}+\frac{\sqrt{3}\,3{}\mathrm{i}}{2}\right)\,\left(\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)","Not used",1,"log((x^3 + 1)^(1/3) - 1)/3 + (x^3 + 1)^(1/3) + log(3*(x^3 + 1)^(1/3) - (3^(1/2)*3i)/2 + 3/2)*((3^(1/2)*1i)/6 - 1/6) - log((3^(1/2)*3i)/2 + 3*(x^3 + 1)^(1/3) + 3/2)*((3^(1/2)*1i)/6 + 1/6)","B"
1073,0,-1,81,0.000000,"\text{Not used}","int(-(3*a*b + x^2 - 2*x*(a + b))/((x*(a - x)*(b - x))^(1/4)*(d*x^2 - x^3 - d*x*(a + b) + a*b*d)),x)","-\int \frac{3\,a\,b+x^2-2\,x\,\left(a+b\right)}{{\left(x\,\left(a-x\right)\,\left(b-x\right)\right)}^{1/4}\,\left(-x^3+d\,x^2-d\,\left(a+b\right)\,x+a\,b\,d\right)} \,d x","Not used",1,"-int((3*a*b + x^2 - 2*x*(a + b))/((x*(a - x)*(b - x))^(1/4)*(d*x^2 - x^3 - d*x*(a + b) + a*b*d)), x)","F"
1074,0,-1,81,0.000000,"\text{Not used}","int(-1/((b - a^3*x^3)*(a^3*x^3 - b*x^2)^(1/3)),x)","-\int \frac{1}{\left(b-a^3\,x^3\right)\,{\left(a^3\,x^3-b\,x^2\right)}^{1/3}} \,d x","Not used",1,"-int(1/((b - a^3*x^3)*(a^3*x^3 - b*x^2)^(1/3)), x)","F"
1075,0,-1,81,0.000000,"\text{Not used}","int(-1/((b - a^3*x^3)*(a^3*x^3 - b*x^2)^(1/3)),x)","-\int \frac{1}{\left(b-a^3\,x^3\right)\,{\left(a^3\,x^3-b\,x^2\right)}^{1/3}} \,d x","Not used",1,"-int(1/((b - a^3*x^3)*(a^3*x^3 - b*x^2)^(1/3)), x)","F"
1076,0,-1,81,0.000000,"\text{Not used}","int((x^3*(a + b) - 2*a*b*x^2)/((x^2*(a - x)*(b - x))^(3/4)*(x*(a + b) - a*b + x^2*(d - 1))),x)","\int \frac{x^3\,\left(a+b\right)-2\,a\,b\,x^2}{{\left(x^2\,\left(a-x\right)\,\left(b-x\right)\right)}^{3/4}\,\left(\left(d-1\right)\,x^2+\left(a+b\right)\,x-a\,b\right)} \,d x","Not used",1,"int((x^3*(a + b) - 2*a*b*x^2)/((x^2*(a - x)*(b - x))^(3/4)*(x*(a + b) - a*b + x^2*(d - 1))), x)","F"
1077,0,-1,81,0.000000,"\text{Not used}","int((x^4 - 1)^(3/4)/(x^4 + 1),x)","\int \frac{{\left(x^4-1\right)}^{3/4}}{x^4+1} \,d x","Not used",1,"int((x^4 - 1)^(3/4)/(x^4 + 1), x)","F"
1078,0,-1,81,0.000000,"\text{Not used}","int((x^4 - x^2)^(1/4)/(x^4*(x^4 - 1)),x)","-\int \frac{{\left(x^4-x^2\right)}^{1/4}}{x^4-x^8} \,d x","Not used",1,"-int((x^4 - x^2)^(1/4)/(x^4 - x^8), x)","F"
1079,0,-1,81,0.000000,"\text{Not used}","int((x^2 - 1)^2/((x^2 + 1)*(6*x^2 + x^4 + 1)^(3/4)),x)","\int \frac{{\left(x^2-1\right)}^2}{\left(x^2+1\right)\,{\left(x^4+6\,x^2+1\right)}^{3/4}} \,d x","Not used",1,"int((x^2 - 1)^2/((x^2 + 1)*(6*x^2 + x^4 + 1)^(3/4)), x)","F"
1080,0,-1,81,0.000000,"\text{Not used}","int(1/((x + 1)*(6*x^2 + x^4 + 1)^(1/4)),x)","\int \frac{1}{\left(x+1\right)\,{\left(x^4+6\,x^2+1\right)}^{1/4}} \,d x","Not used",1,"int(1/((x + 1)*(6*x^2 + x^4 + 1)^(1/4)), x)","F"
1081,0,-1,81,0.000000,"\text{Not used}","int((x + 1)/(4*x + 14*x^2 - 12*x^3 + x^4 - 7)^(1/2),x)","\int \frac{x+1}{\sqrt{x^4-12\,x^3+14\,x^2+4\,x-7}} \,d x","Not used",1,"int((x + 1)/(4*x + 14*x^2 - 12*x^3 + x^4 - 7)^(1/2), x)","F"
1082,0,-1,81,0.000000,"\text{Not used}","int(-(x^4 + 3)/((x^4 - 1)^(1/3)*(8*x^3 - x^4 + 1)),x)","\int -\frac{x^4+3}{{\left(x^4-1\right)}^{1/3}\,\left(-x^4+8\,x^3+1\right)} \,d x","Not used",1,"int(-(x^4 + 3)/((x^4 - 1)^(1/3)*(8*x^3 - x^4 + 1)), x)","F"
1083,0,-1,81,0.000000,"\text{Not used}","int(((2*x - 3)*(2*x^2 - 2*x + 3*x^4)^(1/2))/(2*x + x^3 - 2)^2,x)","\int \frac{\left(2\,x-3\right)\,\sqrt{3\,x^4+2\,x^2-2\,x}}{{\left(x^3+2\,x-2\right)}^2} \,d x","Not used",1,"int(((2*x - 3)*(2*x^2 - 2*x + 3*x^4)^(1/2))/(2*x + x^3 - 2)^2, x)","F"
1084,1,57,81,1.150757,"\text{Not used}","int(-(2*b - a*x^4)/(x^4*(a*x^4 - b)^(1/4)),x)","\frac{a\,x\,{\left(1-\frac{a\,x^4}{b}\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{1}{4};\ \frac{5}{4};\ \frac{a\,x^4}{b}\right)}{{\left(a\,x^4-b\right)}^{1/4}}-\frac{2\,{\left(a\,x^4-b\right)}^{3/4}}{3\,x^3}","Not used",1,"(a*x*(1 - (a*x^4)/b)^(1/4)*hypergeom([1/4, 1/4], 5/4, (a*x^4)/b))/(a*x^4 - b)^(1/4) - (2*(a*x^4 - b)^(3/4))/(3*x^3)","B"
1085,1,39,81,0.783368,"\text{Not used}","int((a*x^4 - b)^(3/4),x)","\frac{x\,{\left(a\,x^4-b\right)}^{3/4}\,{{}}_2{\mathrm{F}}_1\left(-\frac{3}{4},\frac{1}{4};\ \frac{5}{4};\ \frac{a\,x^4}{b}\right)}{{\left(1-\frac{a\,x^4}{b}\right)}^{3/4}}","Not used",1,"(x*(a*x^4 - b)^(3/4)*hypergeom([-3/4, 1/4], 5/4, (a*x^4)/b))/(1 - (a*x^4)/b)^(3/4)","B"
1086,0,-1,81,0.000000,"\text{Not used}","int((a*x^4 - b)^(3/4)/x^4,x)","\int \frac{{\left(a\,x^4-b\right)}^{3/4}}{x^4} \,d x","Not used",1,"int((a*x^4 - b)^(3/4)/x^4, x)","F"
1087,0,-1,81,0.000000,"\text{Not used}","int(1/((b + a*x^4)*(a*x^3 - b*x^2)^(1/3)),x)","\int \frac{1}{\left(a\,x^4+b\right)\,{\left(a\,x^3-b\,x^2\right)}^{1/3}} \,d x","Not used",1,"int(1/((b + a*x^4)*(a*x^3 - b*x^2)^(1/3)), x)","F"
1088,0,-1,81,0.000000,"\text{Not used}","int(1/((b + a*x^4)*(a*x^3 - b*x^2)^(1/3)),x)","\int \frac{1}{\left(a\,x^4+b\right)\,{\left(a\,x^3-b\,x^2\right)}^{1/3}} \,d x","Not used",1,"int(1/((b + a*x^4)*(a*x^3 - b*x^2)^(1/3)), x)","F"
1089,1,40,81,0.993295,"\text{Not used}","int((a*x^4 + b*x^3)^(1/4)/x^2,x)","-\frac{4\,{\left(a\,x^4+b\,x^3\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{4},-\frac{1}{4};\ \frac{3}{4};\ -\frac{a\,x}{b}\right)}{x\,{\left(\frac{a\,x}{b}+1\right)}^{1/4}}","Not used",1,"-(4*(a*x^4 + b*x^3)^(1/4)*hypergeom([-1/4, -1/4], 3/4, -(a*x)/b))/(x*((a*x)/b + 1)^(1/4))","B"
1090,0,-1,81,0.000000,"\text{Not used}","int(((x^3 + 2*x^6 - 4)*(x^4 - x^3 + x^6 + 1)^(3/4))/(x^6 - x^3 + 1)^2,x)","\int \frac{\left(2\,x^6+x^3-4\right)\,{\left(x^6+x^4-x^3+1\right)}^{3/4}}{{\left(x^6-x^3+1\right)}^2} \,d x","Not used",1,"int(((x^3 + 2*x^6 - 4)*(x^4 - x^3 + x^6 + 1)^(3/4))/(x^6 - x^3 + 1)^2, x)","F"
1091,0,-1,81,0.000000,"\text{Not used}","int(-(2*x^4 + 1)/((x^4 + 1)^(1/4)*(x^4 - x^8 + 2)),x)","\int -\frac{2\,x^4+1}{{\left(x^4+1\right)}^{1/4}\,\left(-x^8+x^4+2\right)} \,d x","Not used",1,"int(-(2*x^4 + 1)/((x^4 + 1)^(1/4)*(x^4 - x^8 + 2)), x)","F"
1092,0,-1,81,0.000000,"\text{Not used}","int(1/((b + a*x^8)*(a*x^4 - b*x^2)^(1/4)),x)","\int \frac{1}{\left(a\,x^8+b\right)\,{\left(a\,x^4-b\,x^2\right)}^{1/4}} \,d x","Not used",1,"int(1/((b + a*x^8)*(a*x^4 - b*x^2)^(1/4)), x)","F"
1093,0,-1,81,0.000000,"\text{Not used}","int(1/((b + a*x^8)*(a*x^4 - b*x^2)^(1/4)),x)","\int \frac{1}{\left(a\,x^8+b\right)\,{\left(a\,x^4-b\,x^2\right)}^{1/4}} \,d x","Not used",1,"int(1/((b + a*x^8)*(a*x^4 - b*x^2)^(1/4)), x)","F"
1094,0,-1,81,0.000000,"\text{Not used}","int(-((b^4 + a^4*x^4)^(1/2)*(b^4 - a^4*x^4))/(b^8 + a^8*x^8),x)","\int -\frac{\sqrt{a^4\,x^4+b^4}\,\left(b^4-a^4\,x^4\right)}{a^8\,x^8+b^8} \,d x","Not used",1,"int(-((b^4 + a^4*x^4)^(1/2)*(b^4 - a^4*x^4))/(b^8 + a^8*x^8), x)","F"
1095,0,-1,81,0.000000,"\text{Not used}","int(-(b^8 - a^8*x^8)/((b^4 + a^4*x^4)^(1/2)*(b^8 + a^8*x^8)),x)","\int -\frac{b^8-a^8\,x^8}{\sqrt{a^4\,x^4+b^4}\,\left(a^8\,x^8+b^8\right)} \,d x","Not used",1,"int(-(b^8 - a^8*x^8)/((b^4 + a^4*x^4)^(1/2)*(b^8 + a^8*x^8)), x)","F"
1096,0,-1,81,0.000000,"\text{Not used}","int((b + (a*x^2 + b^2)^(1/2))^(1/2)/(a*x^2 + b^2)^(3/2),x)","\int \frac{\sqrt{b+\sqrt{b^2+a\,x^2}}}{{\left(b^2+a\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((b + (a*x^2 + b^2)^(1/2))^(1/2)/(a*x^2 + b^2)^(3/2), x)","F"
1097,0,-1,81,0.000000,"\text{Not used}","int(((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)/(b + a^2*x^4)^(1/2),x)","\int \frac{\sqrt{\sqrt{a^2\,x^4+b}+a\,x^2}}{\sqrt{a^2\,x^4+b}} \,d x","Not used",1,"int(((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)/(b + a^2*x^4)^(1/2), x)","F"
1098,0,-1,82,0.000000,"\text{Not used}","int(-1/((b - a*x^4)*(a*x^3 - b*x^2)^(1/3)),x)","-\int \frac{1}{\left(b-a\,x^4\right)\,{\left(a\,x^3-b\,x^2\right)}^{1/3}} \,d x","Not used",1,"-int(1/((b - a*x^4)*(a*x^3 - b*x^2)^(1/3)), x)","F"
1099,0,-1,82,0.000000,"\text{Not used}","int(-1/((b - a*x^4)*(a*x^3 - b*x^2)^(1/3)),x)","-\int \frac{1}{\left(b-a\,x^4\right)\,{\left(a\,x^3-b\,x^2\right)}^{1/3}} \,d x","Not used",1,"-int(1/((b - a*x^4)*(a*x^3 - b*x^2)^(1/3)), x)","F"
1100,0,-1,82,0.000000,"\text{Not used}","int((a*x^4 - b*x^3)^(1/4)/(x*(b + a*x^3)),x)","\int \frac{{\left(a\,x^4-b\,x^3\right)}^{1/4}}{x\,\left(a\,x^3+b\right)} \,d x","Not used",1,"int((a*x^4 - b*x^3)^(1/4)/(x*(b + a*x^3)), x)","F"
1101,0,-1,82,0.000000,"\text{Not used}","int((a*x^4 - b*x^3)^(1/4)/(x*(b + a*x^3)),x)","\int \frac{{\left(a\,x^4-b\,x^3\right)}^{1/4}}{x\,\left(a\,x^3+b\right)} \,d x","Not used",1,"int((a*x^4 - b*x^3)^(1/4)/(x*(b + a*x^3)), x)","F"
1102,0,-1,82,0.000000,"\text{Not used}","int((a*x^4 + b*x^3)^(1/4)/x,x)","\int \frac{{\left(a\,x^4+b\,x^3\right)}^{1/4}}{x} \,d x","Not used",1,"int((a*x^4 + b*x^3)^(1/4)/x, x)","F"
1103,0,-1,82,0.000000,"\text{Not used}","int(-((a*x^4 + b*x^3)^(1/4)*(b - a*x))/(x*(b + a*x)),x)","\int -\frac{{\left(a\,x^4+b\,x^3\right)}^{1/4}\,\left(b-a\,x\right)}{x\,\left(b+a\,x\right)} \,d x","Not used",1,"int(-((a*x^4 + b*x^3)^(1/4)*(b - a*x))/(x*(b + a*x)), x)","F"
1104,0,-1,82,0.000000,"\text{Not used}","int((3*x^4 - 1)/((x^2 + x^6)^(1/3)*(x^4 - x + 1)),x)","\int \frac{3\,x^4-1}{{\left(x^6+x^2\right)}^{1/3}\,\left(x^4-x+1\right)} \,d x","Not used",1,"int((3*x^4 - 1)/((x^2 + x^6)^(1/3)*(x^4 - x + 1)), x)","F"
1105,0,-1,82,0.000000,"\text{Not used}","int(-1/((b - a*x^8)*(a*x^4 - b*x^2)^(1/4)),x)","-\int \frac{1}{\left(b-a\,x^8\right)\,{\left(a\,x^4-b\,x^2\right)}^{1/4}} \,d x","Not used",1,"-int(1/((b - a*x^8)*(a*x^4 - b*x^2)^(1/4)), x)","F"
1106,0,-1,82,0.000000,"\text{Not used}","int(-1/((b - a*x^8)*(a*x^4 - b*x^2)^(1/4)),x)","-\int \frac{1}{\left(b-a\,x^8\right)\,{\left(a\,x^4-b\,x^2\right)}^{1/4}} \,d x","Not used",1,"-int(1/((b - a*x^8)*(a*x^4 - b*x^2)^(1/4)), x)","F"
1107,0,-1,82,0.000000,"\text{Not used}","int(-(b - a*x^8)/(x^2*(b + a*x^4)^(3/4)),x)","-\int \frac{b-a\,x^8}{x^2\,{\left(a\,x^4+b\right)}^{3/4}} \,d x","Not used",1,"-int((b - a*x^8)/(x^2*(b + a*x^4)^(3/4)), x)","F"
1108,1,3940,82,8.842660,"\text{Not used}","int(-(x^5*(4*b - 5*a*x^2))/((a*x^2 - b)^(1/4)*(b + a*x^10 - b*x^8)),x)","\left(\sum _{k=1}^{20}\ln\left(\mathrm{root}\left(3840000000000\,a^8\,b^8\,f^{20}-31250000000000\,a^{12}\,b^4\,f^{20}-209715200000\,a^4\,b^{12}\,f^{20}+4294967296\,b^{16}\,f^{20}+95367431640625\,a^{16}\,f^{20}-29296875000000\,a^{12}\,b^3\,f^{16}+15200000000000\,a^8\,b^7\,f^{16}-1900544000000\,a^4\,b^{11}\,f^{16}+69793218560\,b^{15}\,f^{16}+1626112000000\,a^4\,b^{10}\,f^{12}+2575000000000\,a^8\,b^6\,f^{12}+17280532480\,b^{14}\,f^{12}-58112000000\,a^4\,b^9\,f^8+1614807040\,b^{13}\,f^8+67174400\,b^{12}\,f^4+1048576\,b^{11},f,k\right)\,\left({\mathrm{root}\left(3840000000000\,a^8\,b^8\,f^{20}-31250000000000\,a^{12}\,b^4\,f^{20}-209715200000\,a^4\,b^{12}\,f^{20}+4294967296\,b^{16}\,f^{20}+95367431640625\,a^{16}\,f^{20}-29296875000000\,a^{12}\,b^3\,f^{16}+15200000000000\,a^8\,b^7\,f^{16}-1900544000000\,a^4\,b^{11}\,f^{16}+69793218560\,b^{15}\,f^{16}+1626112000000\,a^4\,b^{10}\,f^{12}+2575000000000\,a^8\,b^6\,f^{12}+17280532480\,b^{14}\,f^{12}-58112000000\,a^4\,b^9\,f^8+1614807040\,b^{13}\,f^8+67174400\,b^{12}\,f^4+1048576\,b^{11},f,k\right)}^3\,\left(\mathrm{root}\left(3840000000000\,a^8\,b^8\,f^{20}-31250000000000\,a^{12}\,b^4\,f^{20}-209715200000\,a^4\,b^{12}\,f^{20}+4294967296\,b^{16}\,f^{20}+95367431640625\,a^{16}\,f^{20}-29296875000000\,a^{12}\,b^3\,f^{16}+15200000000000\,a^8\,b^7\,f^{16}-1900544000000\,a^4\,b^{11}\,f^{16}+69793218560\,b^{15}\,f^{16}+1626112000000\,a^4\,b^{10}\,f^{12}+2575000000000\,a^8\,b^6\,f^{12}+17280532480\,b^{14}\,f^{12}-58112000000\,a^4\,b^9\,f^8+1614807040\,b^{13}\,f^8+67174400\,b^{12}\,f^4+1048576\,b^{11},f,k\right)\,\left({\mathrm{root}\left(3840000000000\,a^8\,b^8\,f^{20}-31250000000000\,a^{12}\,b^4\,f^{20}-209715200000\,a^4\,b^{12}\,f^{20}+4294967296\,b^{16}\,f^{20}+95367431640625\,a^{16}\,f^{20}-29296875000000\,a^{12}\,b^3\,f^{16}+15200000000000\,a^8\,b^7\,f^{16}-1900544000000\,a^4\,b^{11}\,f^{16}+69793218560\,b^{15}\,f^{16}+1626112000000\,a^4\,b^{10}\,f^{12}+2575000000000\,a^8\,b^6\,f^{12}+17280532480\,b^{14}\,f^{12}-58112000000\,a^4\,b^9\,f^8+1614807040\,b^{13}\,f^8+67174400\,b^{12}\,f^4+1048576\,b^{11},f,k\right)}^3\,\left(\mathrm{root}\left(3840000000000\,a^8\,b^8\,f^{20}-31250000000000\,a^{12}\,b^4\,f^{20}-209715200000\,a^4\,b^{12}\,f^{20}+4294967296\,b^{16}\,f^{20}+95367431640625\,a^{16}\,f^{20}-29296875000000\,a^{12}\,b^3\,f^{16}+15200000000000\,a^8\,b^7\,f^{16}-1900544000000\,a^4\,b^{11}\,f^{16}+69793218560\,b^{15}\,f^{16}+1626112000000\,a^4\,b^{10}\,f^{12}+2575000000000\,a^8\,b^6\,f^{12}+17280532480\,b^{14}\,f^{12}-58112000000\,a^4\,b^9\,f^8+1614807040\,b^{13}\,f^8+67174400\,b^{12}\,f^4+1048576\,b^{11},f,k\right)\,\left({\mathrm{root}\left(3840000000000\,a^8\,b^8\,f^{20}-31250000000000\,a^{12}\,b^4\,f^{20}-209715200000\,a^4\,b^{12}\,f^{20}+4294967296\,b^{16}\,f^{20}+95367431640625\,a^{16}\,f^{20}-29296875000000\,a^{12}\,b^3\,f^{16}+15200000000000\,a^8\,b^7\,f^{16}-1900544000000\,a^4\,b^{11}\,f^{16}+69793218560\,b^{15}\,f^{16}+1626112000000\,a^4\,b^{10}\,f^{12}+2575000000000\,a^8\,b^6\,f^{12}+17280532480\,b^{14}\,f^{12}-58112000000\,a^4\,b^9\,f^8+1614807040\,b^{13}\,f^8+67174400\,b^{12}\,f^4+1048576\,b^{11},f,k\right)}^3\,\left(\mathrm{root}\left(3840000000000\,a^8\,b^8\,f^{20}-31250000000000\,a^{12}\,b^4\,f^{20}-209715200000\,a^4\,b^{12}\,f^{20}+4294967296\,b^{16}\,f^{20}+95367431640625\,a^{16}\,f^{20}-29296875000000\,a^{12}\,b^3\,f^{16}+15200000000000\,a^8\,b^7\,f^{16}-1900544000000\,a^4\,b^{11}\,f^{16}+69793218560\,b^{15}\,f^{16}+1626112000000\,a^4\,b^{10}\,f^{12}+2575000000000\,a^8\,b^6\,f^{12}+17280532480\,b^{14}\,f^{12}-58112000000\,a^4\,b^9\,f^8+1614807040\,b^{13}\,f^8+67174400\,b^{12}\,f^4+1048576\,b^{11},f,k\right)\,\left({\left(a\,x^2-b\right)}^{1/4}\,\left(353905305190400000000000\,a^{62}\,b^{22}+223491131508260864000000\,a^{58}\,b^{26}+2375018299490104770560\,a^{54}\,b^{30}\right)+{\mathrm{root}\left(3840000000000\,a^8\,b^8\,f^{20}-31250000000000\,a^{12}\,b^4\,f^{20}-209715200000\,a^4\,b^{12}\,f^{20}+4294967296\,b^{16}\,f^{20}+95367431640625\,a^{16}\,f^{20}-29296875000000\,a^{12}\,b^3\,f^{16}+15200000000000\,a^8\,b^7\,f^{16}-1900544000000\,a^4\,b^{11}\,f^{16}+69793218560\,b^{15}\,f^{16}+1626112000000\,a^4\,b^{10}\,f^{12}+2575000000000\,a^8\,b^6\,f^{12}+17280532480\,b^{14}\,f^{12}-58112000000\,a^4\,b^9\,f^8+1614807040\,b^{13}\,f^8+67174400\,b^{12}\,f^4+1048576\,b^{11},f,k\right)}^3\,\left(9223372036854775808000\,a^{55}\,b^{30}-225179981368524800000000\,a^{59}\,b^{26}+1374389534720000000000000\,a^{63}\,b^{22}+\mathrm{root}\left(3840000000000\,a^8\,b^8\,f^{20}-31250000000000\,a^{12}\,b^4\,f^{20}-209715200000\,a^4\,b^{12}\,f^{20}+4294967296\,b^{16}\,f^{20}+95367431640625\,a^{16}\,f^{20}-29296875000000\,a^{12}\,b^3\,f^{16}+15200000000000\,a^8\,b^7\,f^{16}-1900544000000\,a^4\,b^{11}\,f^{16}+69793218560\,b^{15}\,f^{16}+1626112000000\,a^4\,b^{10}\,f^{12}+2575000000000\,a^8\,b^6\,f^{12}+17280532480\,b^{14}\,f^{12}-58112000000\,a^4\,b^9\,f^8+1614807040\,b^{13}\,f^8+67174400\,b^{12}\,f^4+1048576\,b^{11},f,k\right)\,{\left(a\,x^2-b\right)}^{1/4}\,\left(-2013265920000000000000000\,a^{66}\,b^{19}+1044536046387200000000000\,a^{62}\,b^{23}-130604389193744384000000\,a^{58}\,b^{27}+4796153459164483420160\,a^{54}\,b^{31}\right)\right)\right)-1210567579837189324800\,a^{55}\,b^{29}+15481123719086080000000\,a^{59}\,b^{25}-8589934592000000000000\,a^{63}\,b^{21}\right)+\left(332906084455227064320\,a^{54}\,b^{29}-11980278696247296000000\,a^{58}\,b^{25}\right)\,{\left(a\,x^2-b\right)}^{1/4}\right)-259407338536540569600\,a^{55}\,b^{28}+967570232442880000000\,a^{59}\,b^{24}\right)+18464758472219033600\,a^{54}\,b^{28}\,{\left(a\,x^2-b\right)}^{1/4}\right)-9232379236109516800\,a^{55}\,b^{27}\right)+360287970189639680\,a^{54}\,b^{27}\,{\left(a\,x^2-b\right)}^{1/4}\right)\right)\,\mathrm{root}\left(3840000000000\,a^8\,b^8\,f^{20}-31250000000000\,a^{12}\,b^4\,f^{20}-209715200000\,a^4\,b^{12}\,f^{20}+4294967296\,b^{16}\,f^{20}+95367431640625\,a^{16}\,f^{20}-29296875000000\,a^{12}\,b^3\,f^{16}+15200000000000\,a^8\,b^7\,f^{16}-1900544000000\,a^4\,b^{11}\,f^{16}+69793218560\,b^{15}\,f^{16}+1626112000000\,a^4\,b^{10}\,f^{12}+2575000000000\,a^8\,b^6\,f^{12}+17280532480\,b^{14}\,f^{12}-58112000000\,a^4\,b^9\,f^8+1614807040\,b^{13}\,f^8+67174400\,b^{12}\,f^4+1048576\,b^{11},f,k\right)\right)+\left(\sum _{k=1}^{20}\ln\left({\mathrm{root}\left(32768000000000000000\,a^{12}\,b^9\,f^{20}-4026531840000000000\,a^8\,b^{13}\,f^{20}+219902325555200000\,a^4\,b^{17}\,f^{20}-100000000000000000000\,a^{16}\,b^5\,f^{20}-4503599627370496\,b^{21}\,f^{20}+225280000000000000000\,a^{12}\,b^8\,f^{16}-31250000000000000000\,a^{16}\,b^4\,f^{16}-62495129600000000000\,a^8\,b^{12}\,f^{16}+5772436045824000000\,a^4\,b^{16}\,f^{16}-175921860444160000\,b^{20}\,f^{16}-18376294400000000000\,a^8\,b^{11}\,f^{12}-107374182400000000\,a^4\,b^{15}\,f^{12}-3906250000000000000\,a^{16}\,b^3\,f^{12}-79360000000000000000\,a^{12}\,b^7\,f^{12}+2320000000000000000\,a^{12}\,b^6\,f^8-24576000000000000\,a^8\,b^{10}\,f^8-244140625000000000\,a^{16}\,b^2\,f^8-2500000000000000\,a^{12}\,b^5\,f^4-7629394531250000\,a^{16}\,b\,f^4-95367431640625\,a^{16},f,k\right)}^4\,\left(\mathrm{root}\left(32768000000000000000\,a^{12}\,b^9\,f^{20}-4026531840000000000\,a^8\,b^{13}\,f^{20}+219902325555200000\,a^4\,b^{17}\,f^{20}-100000000000000000000\,a^{16}\,b^5\,f^{20}-4503599627370496\,b^{21}\,f^{20}+225280000000000000000\,a^{12}\,b^8\,f^{16}-31250000000000000000\,a^{16}\,b^4\,f^{16}-62495129600000000000\,a^8\,b^{12}\,f^{16}+5772436045824000000\,a^4\,b^{16}\,f^{16}-175921860444160000\,b^{20}\,f^{16}-18376294400000000000\,a^8\,b^{11}\,f^{12}-107374182400000000\,a^4\,b^{15}\,f^{12}-3906250000000000000\,a^{16}\,b^3\,f^{12}-79360000000000000000\,a^{12}\,b^7\,f^{12}+2320000000000000000\,a^{12}\,b^6\,f^8-24576000000000000\,a^8\,b^{10}\,f^8-244140625000000000\,a^{16}\,b^2\,f^8-2500000000000000\,a^{12}\,b^5\,f^4-7629394531250000\,a^{16}\,b\,f^4-95367431640625\,a^{16},f,k\right)\,\left({\mathrm{root}\left(32768000000000000000\,a^{12}\,b^9\,f^{20}-4026531840000000000\,a^8\,b^{13}\,f^{20}+219902325555200000\,a^4\,b^{17}\,f^{20}-100000000000000000000\,a^{16}\,b^5\,f^{20}-4503599627370496\,b^{21}\,f^{20}+225280000000000000000\,a^{12}\,b^8\,f^{16}-31250000000000000000\,a^{16}\,b^4\,f^{16}-62495129600000000000\,a^8\,b^{12}\,f^{16}+5772436045824000000\,a^4\,b^{16}\,f^{16}-175921860444160000\,b^{20}\,f^{16}-18376294400000000000\,a^8\,b^{11}\,f^{12}-107374182400000000\,a^4\,b^{15}\,f^{12}-3906250000000000000\,a^{16}\,b^3\,f^{12}-79360000000000000000\,a^{12}\,b^7\,f^{12}+2320000000000000000\,a^{12}\,b^6\,f^8-24576000000000000\,a^8\,b^{10}\,f^8-244140625000000000\,a^{16}\,b^2\,f^8-2500000000000000\,a^{12}\,b^5\,f^4-7629394531250000\,a^{16}\,b\,f^4-95367431640625\,a^{16},f,k\right)}^3\,\left(6979321856000000000000\,a^{63}\,b^{20}-3276800000000000000000\,a^{67}\,b^{16}+\mathrm{root}\left(32768000000000000000\,a^{12}\,b^9\,f^{20}-4026531840000000000\,a^8\,b^{13}\,f^{20}+219902325555200000\,a^4\,b^{17}\,f^{20}-100000000000000000000\,a^{16}\,b^5\,f^{20}-4503599627370496\,b^{21}\,f^{20}+225280000000000000000\,a^{12}\,b^8\,f^{16}-31250000000000000000\,a^{16}\,b^4\,f^{16}-62495129600000000000\,a^8\,b^{12}\,f^{16}+5772436045824000000\,a^4\,b^{16}\,f^{16}-175921860444160000\,b^{20}\,f^{16}-18376294400000000000\,a^8\,b^{11}\,f^{12}-107374182400000000\,a^4\,b^{15}\,f^{12}-3906250000000000000\,a^{16}\,b^3\,f^{12}-79360000000000000000\,a^{12}\,b^7\,f^{12}+2320000000000000000\,a^{12}\,b^6\,f^8-24576000000000000\,a^8\,b^{10}\,f^8-244140625000000000\,a^{16}\,b^2\,f^8-2500000000000000\,a^{12}\,b^5\,f^4-7629394531250000\,a^{16}\,b\,f^4-95367431640625\,a^{16},f,k\right)\,\left({\mathrm{root}\left(32768000000000000000\,a^{12}\,b^9\,f^{20}-4026531840000000000\,a^8\,b^{13}\,f^{20}+219902325555200000\,a^4\,b^{17}\,f^{20}-100000000000000000000\,a^{16}\,b^5\,f^{20}-4503599627370496\,b^{21}\,f^{20}+225280000000000000000\,a^{12}\,b^8\,f^{16}-31250000000000000000\,a^{16}\,b^4\,f^{16}-62495129600000000000\,a^8\,b^{12}\,f^{16}+5772436045824000000\,a^4\,b^{16}\,f^{16}-175921860444160000\,b^{20}\,f^{16}-18376294400000000000\,a^8\,b^{11}\,f^{12}-107374182400000000\,a^4\,b^{15}\,f^{12}-3906250000000000000\,a^{16}\,b^3\,f^{12}-79360000000000000000\,a^{12}\,b^7\,f^{12}+2320000000000000000\,a^{12}\,b^6\,f^8-24576000000000000\,a^8\,b^{10}\,f^8-244140625000000000\,a^{16}\,b^2\,f^8-2500000000000000\,a^{12}\,b^5\,f^4-7629394531250000\,a^{16}\,b\,f^4-95367431640625\,a^{16},f,k\right)}^3\,\left(\mathrm{root}\left(32768000000000000000\,a^{12}\,b^9\,f^{20}-4026531840000000000\,a^8\,b^{13}\,f^{20}+219902325555200000\,a^4\,b^{17}\,f^{20}-100000000000000000000\,a^{16}\,b^5\,f^{20}-4503599627370496\,b^{21}\,f^{20}+225280000000000000000\,a^{12}\,b^8\,f^{16}-31250000000000000000\,a^{16}\,b^4\,f^{16}-62495129600000000000\,a^8\,b^{12}\,f^{16}+5772436045824000000\,a^4\,b^{16}\,f^{16}-175921860444160000\,b^{20}\,f^{16}-18376294400000000000\,a^8\,b^{11}\,f^{12}-107374182400000000\,a^4\,b^{15}\,f^{12}-3906250000000000000\,a^{16}\,b^3\,f^{12}-79360000000000000000\,a^{12}\,b^7\,f^{12}+2320000000000000000\,a^{12}\,b^6\,f^8-24576000000000000\,a^8\,b^{10}\,f^8-244140625000000000\,a^{16}\,b^2\,f^8-2500000000000000\,a^{12}\,b^5\,f^4-7629394531250000\,a^{16}\,b\,f^4-95367431640625\,a^{16},f,k\right)\,\left({\left(a\,x^2-b\right)}^{1/4}\,\left(14260633600000000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used",1,"symsum(log(root(3840000000000*a^8*b^8*f^20 - 31250000000000*a^12*b^4*f^20 - 209715200000*a^4*b^12*f^20 + 4294967296*b^16*f^20 + 95367431640625*a^16*f^20 - 29296875000000*a^12*b^3*f^16 + 15200000000000*a^8*b^7*f^16 - 1900544000000*a^4*b^11*f^16 + 69793218560*b^15*f^16 + 1626112000000*a^4*b^10*f^12 + 2575000000000*a^8*b^6*f^12 + 17280532480*b^14*f^12 - 58112000000*a^4*b^9*f^8 + 1614807040*b^13*f^8 + 67174400*b^12*f^4 + 1048576*b^11, f, k)*(root(3840000000000*a^8*b^8*f^20 - 31250000000000*a^12*b^4*f^20 - 209715200000*a^4*b^12*f^20 + 4294967296*b^16*f^20 + 95367431640625*a^16*f^20 - 29296875000000*a^12*b^3*f^16 + 15200000000000*a^8*b^7*f^16 - 1900544000000*a^4*b^11*f^16 + 69793218560*b^15*f^16 + 1626112000000*a^4*b^10*f^12 + 2575000000000*a^8*b^6*f^12 + 17280532480*b^14*f^12 - 58112000000*a^4*b^9*f^8 + 1614807040*b^13*f^8 + 67174400*b^12*f^4 + 1048576*b^11, f, k)^3*(root(3840000000000*a^8*b^8*f^20 - 31250000000000*a^12*b^4*f^20 - 209715200000*a^4*b^12*f^20 + 4294967296*b^16*f^20 + 95367431640625*a^16*f^20 - 29296875000000*a^12*b^3*f^16 + 15200000000000*a^8*b^7*f^16 - 1900544000000*a^4*b^11*f^16 + 69793218560*b^15*f^16 + 1626112000000*a^4*b^10*f^12 + 2575000000000*a^8*b^6*f^12 + 17280532480*b^14*f^12 - 58112000000*a^4*b^9*f^8 + 1614807040*b^13*f^8 + 67174400*b^12*f^4 + 1048576*b^11, f, k)*(root(3840000000000*a^8*b^8*f^20 - 31250000000000*a^12*b^4*f^20 - 209715200000*a^4*b^12*f^20 + 4294967296*b^16*f^20 + 95367431640625*a^16*f^20 - 29296875000000*a^12*b^3*f^16 + 15200000000000*a^8*b^7*f^16 - 1900544000000*a^4*b^11*f^16 + 69793218560*b^15*f^16 + 1626112000000*a^4*b^10*f^12 + 2575000000000*a^8*b^6*f^12 + 17280532480*b^14*f^12 - 58112000000*a^4*b^9*f^8 + 1614807040*b^13*f^8 + 67174400*b^12*f^4 + 1048576*b^11, f, k)^3*(root(3840000000000*a^8*b^8*f^20 - 31250000000000*a^12*b^4*f^20 - 209715200000*a^4*b^12*f^20 + 4294967296*b^16*f^20 + 95367431640625*a^16*f^20 - 29296875000000*a^12*b^3*f^16 + 15200000000000*a^8*b^7*f^16 - 1900544000000*a^4*b^11*f^16 + 69793218560*b^15*f^16 + 1626112000000*a^4*b^10*f^12 + 2575000000000*a^8*b^6*f^12 + 17280532480*b^14*f^12 - 58112000000*a^4*b^9*f^8 + 1614807040*b^13*f^8 + 67174400*b^12*f^4 + 1048576*b^11, f, k)*(root(3840000000000*a^8*b^8*f^20 - 31250000000000*a^12*b^4*f^20 - 209715200000*a^4*b^12*f^20 + 4294967296*b^16*f^20 + 95367431640625*a^16*f^20 - 29296875000000*a^12*b^3*f^16 + 15200000000000*a^8*b^7*f^16 - 1900544000000*a^4*b^11*f^16 + 69793218560*b^15*f^16 + 1626112000000*a^4*b^10*f^12 + 2575000000000*a^8*b^6*f^12 + 17280532480*b^14*f^12 - 58112000000*a^4*b^9*f^8 + 1614807040*b^13*f^8 + 67174400*b^12*f^4 + 1048576*b^11, f, k)^3*(root(3840000000000*a^8*b^8*f^20 - 31250000000000*a^12*b^4*f^20 - 209715200000*a^4*b^12*f^20 + 4294967296*b^16*f^20 + 95367431640625*a^16*f^20 - 29296875000000*a^12*b^3*f^16 + 15200000000000*a^8*b^7*f^16 - 1900544000000*a^4*b^11*f^16 + 69793218560*b^15*f^16 + 1626112000000*a^4*b^10*f^12 + 2575000000000*a^8*b^6*f^12 + 17280532480*b^14*f^12 - 58112000000*a^4*b^9*f^8 + 1614807040*b^13*f^8 + 67174400*b^12*f^4 + 1048576*b^11, f, k)*((a*x^2 - b)^(1/4)*(2375018299490104770560*a^54*b^30 + 223491131508260864000000*a^58*b^26 + 353905305190400000000000*a^62*b^22) + root(3840000000000*a^8*b^8*f^20 - 31250000000000*a^12*b^4*f^20 - 209715200000*a^4*b^12*f^20 + 4294967296*b^16*f^20 + 95367431640625*a^16*f^20 - 29296875000000*a^12*b^3*f^16 + 15200000000000*a^8*b^7*f^16 - 1900544000000*a^4*b^11*f^16 + 69793218560*b^15*f^16 + 1626112000000*a^4*b^10*f^12 + 2575000000000*a^8*b^6*f^12 + 17280532480*b^14*f^12 - 58112000000*a^4*b^9*f^8 + 1614807040*b^13*f^8 + 67174400*b^12*f^4 + 1048576*b^11, f, k)^3*(9223372036854775808000*a^55*b^30 - 225179981368524800000000*a^59*b^26 + 1374389534720000000000000*a^63*b^22 + root(3840000000000*a^8*b^8*f^20 - 31250000000000*a^12*b^4*f^20 - 209715200000*a^4*b^12*f^20 + 4294967296*b^16*f^20 + 95367431640625*a^16*f^20 - 29296875000000*a^12*b^3*f^16 + 15200000000000*a^8*b^7*f^16 - 1900544000000*a^4*b^11*f^16 + 69793218560*b^15*f^16 + 1626112000000*a^4*b^10*f^12 + 2575000000000*a^8*b^6*f^12 + 17280532480*b^14*f^12 - 58112000000*a^4*b^9*f^8 + 1614807040*b^13*f^8 + 67174400*b^12*f^4 + 1048576*b^11, f, k)*(a*x^2 - b)^(1/4)*(4796153459164483420160*a^54*b^31 - 130604389193744384000000*a^58*b^27 + 1044536046387200000000000*a^62*b^23 - 2013265920000000000000000*a^66*b^19))) - 1210567579837189324800*a^55*b^29 + 15481123719086080000000*a^59*b^25 - 8589934592000000000000*a^63*b^21) + (332906084455227064320*a^54*b^29 - 11980278696247296000000*a^58*b^25)*(a*x^2 - b)^(1/4)) - 259407338536540569600*a^55*b^28 + 967570232442880000000*a^59*b^24) + 18464758472219033600*a^54*b^28*(a*x^2 - b)^(1/4)) - 9232379236109516800*a^55*b^27) + 360287970189639680*a^54*b^27*(a*x^2 - b)^(1/4)))*root(3840000000000*a^8*b^8*f^20 - 31250000000000*a^12*b^4*f^20 - 209715200000*a^4*b^12*f^20 + 4294967296*b^16*f^20 + 95367431640625*a^16*f^20 - 29296875000000*a^12*b^3*f^16 + 15200000000000*a^8*b^7*f^16 - 1900544000000*a^4*b^11*f^16 + 69793218560*b^15*f^16 + 1626112000000*a^4*b^10*f^12 + 2575000000000*a^8*b^6*f^12 + 17280532480*b^14*f^12 - 58112000000*a^4*b^9*f^8 + 1614807040*b^13*f^8 + 67174400*b^12*f^4 + 1048576*b^11, f, k), k, 1, 20) + symsum(log(root(32768000000000000000*a^12*b^9*f^20 - 4026531840000000000*a^8*b^13*f^20 + 219902325555200000*a^4*b^17*f^20 - 100000000000000000000*a^16*b^5*f^20 - 4503599627370496*b^21*f^20 + 225280000000000000000*a^12*b^8*f^16 - 31250000000000000000*a^16*b^4*f^16 - 62495129600000000000*a^8*b^12*f^16 + 5772436045824000000*a^4*b^16*f^16 - 175921860444160000*b^20*f^16 - 18376294400000000000*a^8*b^11*f^12 - 107374182400000000*a^4*b^15*f^12 - 3906250000000000000*a^16*b^3*f^12 - 79360000000000000000*a^12*b^7*f^12 + 2320000000000000000*a^12*b^6*f^8 - 24576000000000000*a^8*b^10*f^8 - 244140625000000000*a^16*b^2*f^8 - 2500000000000000*a^12*b^5*f^4 - 7629394531250000*a^16*b*f^4 - 95367431640625*a^16, f, k)^4*(root(32768000000000000000*a^12*b^9*f^20 - 4026531840000000000*a^8*b^13*f^20 + 219902325555200000*a^4*b^17*f^20 - 100000000000000000000*a^16*b^5*f^20 - 4503599627370496*b^21*f^20 + 225280000000000000000*a^12*b^8*f^16 - 31250000000000000000*a^16*b^4*f^16 - 62495129600000000000*a^8*b^12*f^16 + 5772436045824000000*a^4*b^16*f^16 - 175921860444160000*b^20*f^16 - 18376294400000000000*a^8*b^11*f^12 - 107374182400000000*a^4*b^15*f^12 - 3906250000000000000*a^16*b^3*f^12 - 79360000000000000000*a^12*b^7*f^12 + 2320000000000000000*a^12*b^6*f^8 - 24576000000000000*a^8*b^10*f^8 - 244140625000000000*a^16*b^2*f^8 - 2500000000000000*a^12*b^5*f^4 - 7629394531250000*a^16*b*f^4 - 95367431640625*a^16, f, k)*(root(32768000000000000000*a^12*b^9*f^20 - 4026531840000000000*a^8*b^13*f^20 + 219902325555200000*a^4*b^17*f^20 - 100000000000000000000*a^16*b^5*f^20 - 4503599627370496*b^21*f^20 + 225280000000000000000*a^12*b^8*f^16 - 31250000000000000000*a^16*b^4*f^16 - 62495129600000000000*a^8*b^12*f^16 + 5772436045824000000*a^4*b^16*f^16 - 175921860444160000*b^20*f^16 - 18376294400000000000*a^8*b^11*f^12 - 107374182400000000*a^4*b^15*f^12 - 3906250000000000000*a^16*b^3*f^12 - 79360000000000000000*a^12*b^7*f^12 + 2320000000000000000*a^12*b^6*f^8 - 24576000000000000*a^8*b^10*f^8 - 244140625000000000*a^16*b^2*f^8 - 2500000000000000*a^12*b^5*f^4 - 7629394531250000*a^16*b*f^4 - 95367431640625*a^16, f, k)^3*(6979321856000000000000*a^63*b^20 - 3276800000000000000000*a^67*b^16 + root(32768000000000000000*a^12*b^9*f^20 - 4026531840000000000*a^8*b^13*f^20 + 219902325555200000*a^4*b^17*f^20 - 100000000000000000000*a^16*b^5*f^20 - 4503599627370496*b^21*f^20 + 225280000000000000000*a^12*b^8*f^16 - 31250000000000000000*a^16*b^4*f^16 - 62495129600000000000*a^8*b^12*f^16 + 5772436045824000000*a^4*b^16*f^16 - 175921860444160000*b^20*f^16 - 18376294400000000000*a^8*b^11*f^12 - 107374182400000000*a^4*b^15*f^12 - 3906250000000000000*a^16*b^3*f^12 - 79360000000000000000*a^12*b^7*f^12 + 2320000000000000000*a^12*b^6*f^8 - 24576000000000000*a^8*b^10*f^8 - 244140625000000000*a^16*b^2*f^8 - 2500000000000000*a^12*b^5*f^4 - 7629394531250000*a^16*b*f^4 - 95367431640625*a^16, f, k)*(root(32768000000000000000*a^12*b^9*f^20 - 4026531840000000000*a^8*b^13*f^20 + 219902325555200000*a^4*b^17*f^20 - 100000000000000000000*a^16*b^5*f^20 - 4503599627370496*b^21*f^20 + 225280000000000000000*a^12*b^8*f^16 - 31250000000000000000*a^16*b^4*f^16 - 62495129600000000000*a^8*b^12*f^16 + 5772436045824000000*a^4*b^16*f^16 - 175921860444160000*b^20*f^16 - 18376294400000000000*a^8*b^11*f^12 - 107374182400000000*a^4*b^15*f^12 - 3906250000000000000*a^16*b^3*f^12 - 79360000000000000000*a^12*b^7*f^12 + 2320000000000000000*a^12*b^6*f^8 - 24576000000000000*a^8*b^10*f^8 - 244140625000000000*a^16*b^2*f^8 - 2500000000000000*a^12*b^5*f^4 - 7629394531250000*a^16*b*f^4 - 95367431640625*a^16, f, k)^3*(root(32768000000000000000*a^12*b^9*f^20 - 4026531840000000000*a^8*b^13*f^20 + 219902325555200000*a^4*b^17*f^20 - 100000000000000000000*a^16*b^5*f^20 - 4503599627370496*b^21*f^20 + 225280000000000000000*a^12*b^8*f^16 - 31250000000000000000*a^16*b^4*f^16 - 62495129600000000000*a^8*b^12*f^16 + 5772436045824000000*a^4*b^16*f^16 - 175921860444160000*b^20*f^16 - 18376294400000000000*a^8*b^11*f^12 - 107374182400000000*a^4*b^15*f^12 - 3906250000000000000*a^16*b^3*f^12 - 79360000000000000000*a^12*b^7*f^12 + 2320000000000000000*a^12*b^6*f^8 - 24576000000000000*a^8*b^10*f^8 - 244140625000000000*a^16*b^2*f^8 - 2500000000000000*a^12*b^5*f^4 - 7629394531250000*a^16*b*f^4 - 95367431640625*a^16, f, k)*((a*x^2 - b)^(1/4)*(94012642221359104000000*a^58*b^26 + 2171535464857600000000000*a^62*b^22 + 1426063360000000000000000*a^66*b^18) + root(32768000000000000000*a^12*b^9*f^20 - 4026531840000000000*a^8*b^13*f^20 + 219902325555200000*a^4*b^17*f^20 - 100000000000000000000*a^16*b^5*f^20 - 4503599627370496*b^21*f^20 + 225280000000000000000*a^12*b^8*f^16 - 31250000000000000000*a^16*b^4*f^16 - 62495129600000000000*a^8*b^12*f^16 + 5772436045824000000*a^4*b^16*f^16 - 175921860444160000*b^20*f^16 - 18376294400000000000*a^8*b^11*f^12 - 107374182400000000*a^4*b^15*f^12 - 3906250000000000000*a^16*b^3*f^12 - 79360000000000000000*a^12*b^7*f^12 + 2320000000000000000*a^12*b^6*f^8 - 24576000000000000*a^8*b^10*f^8 - 244140625000000000*a^16*b^2*f^8 - 2500000000000000*a^12*b^5*f^4 - 7629394531250000*a^16*b*f^4 - 95367431640625*a^16, f, k)^3*(478507460408115200000000*a^59*b^26 - 18446744073709551616000*a^55*b^30 - 3435973836800000000000000*a^63*b^22 + 4194304000000000000000000*a^67*b^18 + root(32768000000000000000*a^12*b^9*f^20 - 4026531840000000000*a^8*b^13*f^20 + 219902325555200000*a^4*b^17*f^20 - 100000000000000000000*a^16*b^5*f^20 - 4503599627370496*b^21*f^20 + 225280000000000000000*a^12*b^8*f^16 - 31250000000000000000*a^16*b^4*f^16 - 62495129600000000000*a^8*b^12*f^16 + 5772436045824000000*a^4*b^16*f^16 - 175921860444160000*b^20*f^16 - 18376294400000000000*a^8*b^11*f^12 - 107374182400000000*a^4*b^15*f^12 - 3906250000000000000*a^16*b^3*f^12 - 79360000000000000000*a^12*b^7*f^12 + 2320000000000000000*a^12*b^6*f^8 - 24576000000000000*a^8*b^10*f^8 - 244140625000000000*a^16*b^2*f^8 - 2500000000000000*a^12*b^5*f^4 - 7629394531250000*a^16*b*f^4 - 95367431640625*a^16, f, k)*(a*x^2 - b)^(1/4)*(7378697629483820646400*a^54*b^31 - 225179981368524800000000*a^58*b^27 + 2199023255552000000000000*a^62*b^23 - 6710886400000000000000000*a^66*b^19))) + 69313213014999040000000*a^59*b^25 + 1271310319616000000000000*a^63*b^21 + 367001600000000000000000*a^67*b^17) + (3435973836800000000000*a^62*b^21 + 89128960000000000000000*a^66*b^17)*(a*x^2 - b)^(1/4))) - 1638400000000000000000*a^66*b^16*(a*x^2 - b)^(1/4)) - 614400000000000000000*a^67*b^15))*root(32768000000000000000*a^12*b^9*f^20 - 4026531840000000000*a^8*b^13*f^20 + 219902325555200000*a^4*b^17*f^20 - 100000000000000000000*a^16*b^5*f^20 - 4503599627370496*b^21*f^20 + 225280000000000000000*a^12*b^8*f^16 - 31250000000000000000*a^16*b^4*f^16 - 62495129600000000000*a^8*b^12*f^16 + 5772436045824000000*a^4*b^16*f^16 - 175921860444160000*b^20*f^16 - 18376294400000000000*a^8*b^11*f^12 - 107374182400000000*a^4*b^15*f^12 - 3906250000000000000*a^16*b^3*f^12 - 79360000000000000000*a^12*b^7*f^12 + 2320000000000000000*a^12*b^6*f^8 - 24576000000000000*a^8*b^10*f^8 - 244140625000000000*a^16*b^2*f^8 - 2500000000000000*a^12*b^5*f^4 - 7629394531250000*a^16*b*f^4 - 95367431640625*a^16, f, k), k, 1, 20)","B"
1109,1,25,83,0.954797,"\text{Not used}","int(1/(x^2 + x^3)^(1/3),x)","\frac{3\,x\,{\left(x+1\right)}^{1/3}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{3},\frac{1}{3};\ \frac{4}{3};\ -x\right)}{{\left(x^3+x^2\right)}^{1/3}}","Not used",1,"(3*x*(x + 1)^(1/3)*hypergeom([1/3, 1/3], 4/3, -x))/(x^2 + x^3)^(1/3)","B"
1110,0,-1,83,0.000000,"\text{Not used}","int(-(a - 3*b + 2*x)/(((a - x)*(b - x))^(1/4)*(3*a*x^2 - b*d + x*(d - 3*a^2) + a^3 - x^3)),x)","\int -\frac{a-3\,b+2\,x}{{\left(\left(a-x\right)\,\left(b-x\right)\right)}^{1/4}\,\left(3\,a\,x^2-b\,d+x\,\left(d-3\,a^2\right)+a^3-x^3\right)} \,d x","Not used",1,"int(-(a - 3*b + 2*x)/(((a - x)*(b - x))^(1/4)*(3*a*x^2 - b*d + x*(d - 3*a^2) + a^3 - x^3)), x)","F"
1111,0,-1,83,0.000000,"\text{Not used}","int(-((a^2 - 2*a*x + x^2)*(a - 3*b + 2*x))/(((a - x)*(b - x))^(3/4)*(b - a^3*d + d*x^3 + x*(3*a^2*d - 1) - 3*a*d*x^2)),x)","-\int \frac{\left(a^2-2\,a\,x+x^2\right)\,\left(a-3\,b+2\,x\right)}{{\left(\left(a-x\right)\,\left(b-x\right)\right)}^{3/4}\,\left(b-a^3\,d+d\,x^3+x\,\left(3\,a^2\,d-1\right)-3\,a\,d\,x^2\right)} \,d x","Not used",1,"-int(((a^2 - 2*a*x + x^2)*(a - 3*b + 2*x))/(((a - x)*(b - x))^(3/4)*(b - a^3*d + d*x^3 + x*(3*a^2*d - 1) - 3*a*d*x^2)), x)","F"
1112,0,-1,83,0.000000,"\text{Not used}","int(-(2*x*(k - 1) - k*x^2 + 1)/((x*(k*x - 1)*(x - 1))^(1/4)*(k^3*x^3 - x^2*(d + 3*k^2) + x*(d + 3*k) - 1)),x)","\int -\frac{2\,x\,\left(k-1\right)-k\,x^2+1}{{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{1/4}\,\left(k^3\,x^3-x^2\,\left(3\,k^2+d\right)+x\,\left(d+3\,k\right)-1\right)} \,d x","Not used",1,"int(-(2*x*(k - 1) - k*x^2 + 1)/((x*(k*x - 1)*(x - 1))^(1/4)*(k^3*x^3 - x^2*(d + 3*k^2) + x*(d + 3*k) - 1)), x)","F"
1113,0,-1,83,0.000000,"\text{Not used}","int((6*x^2 + x^4 + 1)^(1/2)/(x*(x^2 + 1)),x)","\int \frac{\sqrt{x^4+6\,x^2+1}}{x\,\left(x^2+1\right)} \,d x","Not used",1,"int((6*x^2 + x^4 + 1)^(1/2)/(x*(x^2 + 1)), x)","F"
1114,0,-1,83,0.000000,"\text{Not used}","int(((x^2 - 1)*(2*x^2 + 2*x^4 - 1)^(1/4))/(x^2*(2*x^2 - 1)),x)","\int \frac{\left(x^2-1\right)\,{\left(2\,x^4+2\,x^2-1\right)}^{1/4}}{x^2\,\left(2\,x^2-1\right)} \,d x","Not used",1,"int(((x^2 - 1)*(2*x^2 + 2*x^4 - 1)^(1/4))/(x^2*(2*x^2 - 1)), x)","F"
1115,0,-1,83,0.000000,"\text{Not used}","int(1/((b + a*x^4)^(1/4)*(2*b + a*x^4)),x)","\int \frac{1}{{\left(a\,x^4+b\right)}^{1/4}\,\left(a\,x^4+2\,b\right)} \,d x","Not used",1,"int(1/((b + a*x^4)^(1/4)*(2*b + a*x^4)), x)","F"
1116,1,45,83,1.026613,"\text{Not used}","int((a*x^4 - b*x^2)^(1/4)/x^2,x)","-\frac{2\,{\left(a\,x^4-b\,x^2\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{4},-\frac{1}{4};\ \frac{3}{4};\ \frac{a\,x^2}{b}\right)}{x\,{\left(1-\frac{a\,x^2}{b}\right)}^{1/4}}","Not used",1,"-(2*(a*x^4 - b*x^2)^(1/4)*hypergeom([-1/4, -1/4], 3/4, (a*x^2)/b))/(x*(1 - (a*x^2)/b)^(1/4))","B"
1117,0,-1,83,0.000000,"\text{Not used}","int(1/((a + b*x^8)*(a*x^4 - b*x^2)^(1/4)),x)","\int \frac{1}{\left(b\,x^8+a\right)\,{\left(a\,x^4-b\,x^2\right)}^{1/4}} \,d x","Not used",1,"int(1/((a + b*x^8)*(a*x^4 - b*x^2)^(1/4)), x)","F"
1118,0,-1,83,0.000000,"\text{Not used}","int(1/((a + b*x^8)*(a*x^4 - b*x^2)^(1/4)),x)","\int \frac{1}{\left(b\,x^8+a\right)\,{\left(a\,x^4-b\,x^2\right)}^{1/4}} \,d x","Not used",1,"int(1/((a + b*x^8)*(a*x^4 - b*x^2)^(1/4)), x)","F"
1119,0,-1,83,0.000000,"\text{Not used}","int(((x + (x + 1)^(1/2))^(1/2)*(x - 1))/(x + 1)^(1/2),x)","\int \frac{\sqrt{x+\sqrt{x+1}}\,\left(x-1\right)}{\sqrt{x+1}} \,d x","Not used",1,"int(((x + (x + 1)^(1/2))^(1/2)*(x - 1))/(x + 1)^(1/2), x)","F"
1120,0,-1,83,0.000000,"\text{Not used}","int((x*(x + (x + 1)^(1/2))^(1/2))/(x + 1)^(1/2),x)","\int \frac{x\,\sqrt{x+\sqrt{x+1}}}{\sqrt{x+1}} \,d x","Not used",1,"int((x*(x + (x + 1)^(1/2))^(1/2))/(x + 1)^(1/2), x)","F"
1121,0,-1,83,0.000000,"\text{Not used}","int((x + (x + 1)^(1/2))^(1/2)*(x + 1)^(1/2),x)","\int \sqrt{x+\sqrt{x+1}}\,\sqrt{x+1} \,d x","Not used",1,"int((x + (x + 1)^(1/2))^(1/2)*(x + 1)^(1/2), x)","F"
1122,0,-1,83,0.000000,"\text{Not used}","int(((x^2 + 1)^(1/2) + 1)/(x + (x^2 + 1)^(1/2))^(1/2),x)","\int \frac{\sqrt{x^2+1}+1}{\sqrt{x+\sqrt{x^2+1}}} \,d x","Not used",1,"int(((x^2 + 1)^(1/2) + 1)/(x + (x^2 + 1)^(1/2))^(1/2), x)","F"
1123,1,425,83,0.923582,"\text{Not used}","int(((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)","\frac{\ln\left(x+\frac{\sqrt{2}\,\sqrt{7-\sqrt{5}}}{2}-2\right)\,\left(2\,\sqrt{2}\,\sqrt{7-\sqrt{5}}+{\left(\frac{\sqrt{2}\,\sqrt{7-\sqrt{5}}}{2}-2\right)}^2-6\right)}{17\,\sqrt{2}\,\sqrt{7-\sqrt{5}}+24\,{\left(\frac{\sqrt{2}\,\sqrt{7-\sqrt{5}}}{2}-2\right)}^2+4\,{\left(\frac{\sqrt{2}\,\sqrt{7-\sqrt{5}}}{2}-2\right)}^3-64}+\frac{\ln\left(x-\frac{\sqrt{2}\,\sqrt{\sqrt{5}+7}}{2}-2\right)\,\left(2\,\sqrt{2}\,\sqrt{\sqrt{5}+7}-{\left(\frac{\sqrt{2}\,\sqrt{\sqrt{5}+7}}{2}+2\right)}^2+6\right)}{4\,{\left(\frac{\sqrt{2}\,\sqrt{\sqrt{5}+7}}{2}+2\right)}^3-24\,{\left(\frac{\sqrt{2}\,\sqrt{\sqrt{5}+7}}{2}+2\right)}^2+17\,\sqrt{2}\,\sqrt{\sqrt{5}+7}+64}+\frac{\ln\left(x-\frac{\sqrt{2}\,\sqrt{7-\sqrt{5}}}{2}-2\right)\,\left(2\,\sqrt{2}\,\sqrt{7-\sqrt{5}}-{\left(\frac{\sqrt{2}\,\sqrt{7-\sqrt{5}}}{2}+2\right)}^2+6\right)}{17\,\sqrt{2}\,\sqrt{7-\sqrt{5}}-24\,{\left(\frac{\sqrt{2}\,\sqrt{7-\sqrt{5}}}{2}+2\right)}^2+4\,{\left(\frac{\sqrt{2}\,\sqrt{7-\sqrt{5}}}{2}+2\right)}^3+64}+\frac{\ln\left(x+\frac{\sqrt{2}\,\sqrt{\sqrt{5}+7}}{2}-2\right)\,\left({\left(\frac{\sqrt{2}\,\sqrt{\sqrt{5}+7}}{2}-2\right)}^2+2\,\sqrt{2}\,\sqrt{\sqrt{5}+7}-6\right)}{24\,{\left(\frac{\sqrt{2}\,\sqrt{\sqrt{5}+7}}{2}-2\right)}^2+4\,{\left(\frac{\sqrt{2}\,\sqrt{\sqrt{5}+7}}{2}-2\right)}^3+17\,\sqrt{2}\,\sqrt{\sqrt{5}+7}-64}","Not used",1,"(log(x + (2^(1/2)*(7 - 5^(1/2))^(1/2))/2 - 2)*(2*2^(1/2)*(7 - 5^(1/2))^(1/2) + ((2^(1/2)*(7 - 5^(1/2))^(1/2))/2 - 2)^2 - 6))/(17*2^(1/2)*(7 - 5^(1/2))^(1/2) + 24*((2^(1/2)*(7 - 5^(1/2))^(1/2))/2 - 2)^2 + 4*((2^(1/2)*(7 - 5^(1/2))^(1/2))/2 - 2)^3 - 64) + (log(x - (2^(1/2)*(5^(1/2) + 7)^(1/2))/2 - 2)*(2*2^(1/2)*(5^(1/2) + 7)^(1/2) - ((2^(1/2)*(5^(1/2) + 7)^(1/2))/2 + 2)^2 + 6))/(4*((2^(1/2)*(5^(1/2) + 7)^(1/2))/2 + 2)^3 - 24*((2^(1/2)*(5^(1/2) + 7)^(1/2))/2 + 2)^2 + 17*2^(1/2)*(5^(1/2) + 7)^(1/2) + 64) + (log(x - (2^(1/2)*(7 - 5^(1/2))^(1/2))/2 - 2)*(2*2^(1/2)*(7 - 5^(1/2))^(1/2) - ((2^(1/2)*(7 - 5^(1/2))^(1/2))/2 + 2)^2 + 6))/(17*2^(1/2)*(7 - 5^(1/2))^(1/2) - 24*((2^(1/2)*(7 - 5^(1/2))^(1/2))/2 + 2)^2 + 4*((2^(1/2)*(7 - 5^(1/2))^(1/2))/2 + 2)^3 + 64) + (log(x + (2^(1/2)*(5^(1/2) + 7)^(1/2))/2 - 2)*(((2^(1/2)*(5^(1/2) + 7)^(1/2))/2 - 2)^2 + 2*2^(1/2)*(5^(1/2) + 7)^(1/2) - 6))/(24*((2^(1/2)*(5^(1/2) + 7)^(1/2))/2 - 2)^2 + 4*((2^(1/2)*(5^(1/2) + 7)^(1/2))/2 - 2)^3 + 17*2^(1/2)*(5^(1/2) + 7)^(1/2) - 64)","B"
1124,0,-1,83,0.000000,"\text{Not used}","int(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)","\int \frac{x^2}{\sqrt{a^2\,x^2-b\,x}\,{\left(a\,x^2+x\,\sqrt{a^2\,x^2-b\,x}\right)}^{3/2}} \,d x","Not used",1,"int(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)","F"
1125,1,628,84,0.175570,"\text{Not used}","int(-(a^2*b + 3*a*x^2 - x^3 - a*x*(2*a + b))/(x*(b - x)*(x*(a - x)*(b - x))^(1/2)*(a - x*(b*d + 1) + d*x^2)),x)","\frac{b\,\sqrt{\frac{x}{b}}\,\sqrt{\frac{b-x}{b}}\,\sqrt{\frac{a-x}{a-b}}\,\Pi \left(\frac{b}{b-\frac{b\,d+\sqrt{b^2\,d^2+2\,b\,d-4\,a\,d+1}+1}{2\,d}};\mathrm{asin}\left(\sqrt{\frac{b-x}{b}}\right)\middle|-\frac{b}{a-b}\right)\,\left(b\,d-2\,a\,d+\sqrt{b^2\,d^2+2\,b\,d-4\,a\,d+1}+1\right)}{d\,\left(b-\frac{b\,d+\sqrt{b^2\,d^2+2\,b\,d-4\,a\,d+1}+1}{2\,d}\right)\,\sqrt{x^3+\left(-a-b\right)\,x^2+a\,b\,x}}-\frac{b\,\sqrt{\frac{x}{b}}\,\sqrt{\frac{b-x}{b}}\,\sqrt{\frac{a-x}{a-b}}\,\Pi \left(\frac{b}{b-\frac{b\,d-\sqrt{b^2\,d^2+2\,b\,d-4\,a\,d+1}+1}{2\,d}};\mathrm{asin}\left(\sqrt{\frac{b-x}{b}}\right)\middle|-\frac{b}{a-b}\right)\,\left(2\,a\,d-b\,d+\sqrt{b^2\,d^2+2\,b\,d-4\,a\,d+1}-1\right)}{d\,\left(b-\frac{b\,d-\sqrt{b^2\,d^2+2\,b\,d-4\,a\,d+1}+1}{2\,d}\right)\,\sqrt{x^3+\left(-a-b\right)\,x^2+a\,b\,x}}-\frac{2\,a\,\left(a-b\right)\,\sqrt{\frac{x}{a}}\,\left(\mathrm{E}\left(\mathrm{asin}\left(\sqrt{\frac{x}{a}}\right)\middle|\frac{a}{b}\right)-\frac{a\,\sin\left(2\,\mathrm{asin}\left(\sqrt{\frac{x}{a}}\right)\right)}{2\,b\,\sqrt{1-\frac{x}{b}}}\right)\,\sqrt{\frac{a-x}{a}}\,\sqrt{\frac{b-x}{b}}}{b\,\left(\frac{a}{b}-1\right)\,\sqrt{x^3+\left(-a-b\right)\,x^2+a\,b\,x}}-\frac{2\,a\,\left(\frac{\mathrm{E}\left(\mathrm{asin}\left(\sqrt{\frac{b-x}{b}}\right)\middle|-\frac{b}{a-b}\right)-\frac{\sqrt{\frac{b-x}{a-b}+1}\,\sqrt{\frac{b-x}{b}}}{\sqrt{1-\frac{b-x}{b}}}}{\frac{b}{a-b}+1}-\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{b-x}{b}}\right)\middle|-\frac{b}{a-b}\right)\right)\,\sqrt{\frac{x}{b}}\,\sqrt{\frac{b-x}{b}}\,\sqrt{\frac{a-x}{a-b}}}{\sqrt{x^3+\left(-a-b\right)\,x^2+a\,b\,x}}","Not used",1,"(b*(x/b)^(1/2)*((b - x)/b)^(1/2)*((a - x)/(a - b))^(1/2)*ellipticPi(b/(b - (b*d + (2*b*d - 4*a*d + b^2*d^2 + 1)^(1/2) + 1)/(2*d)), asin(((b - x)/b)^(1/2)), -b/(a - b))*(b*d - 2*a*d + (2*b*d - 4*a*d + b^2*d^2 + 1)^(1/2) + 1))/(d*(b - (b*d + (2*b*d - 4*a*d + b^2*d^2 + 1)^(1/2) + 1)/(2*d))*(x^3 - x^2*(a + b) + a*b*x)^(1/2)) - (b*(x/b)^(1/2)*((b - x)/b)^(1/2)*((a - x)/(a - b))^(1/2)*ellipticPi(b/(b - (b*d - (2*b*d - 4*a*d + b^2*d^2 + 1)^(1/2) + 1)/(2*d)), asin(((b - x)/b)^(1/2)), -b/(a - b))*(2*a*d - b*d + (2*b*d - 4*a*d + b^2*d^2 + 1)^(1/2) - 1))/(d*(b - (b*d - (2*b*d - 4*a*d + b^2*d^2 + 1)^(1/2) + 1)/(2*d))*(x^3 - x^2*(a + b) + a*b*x)^(1/2)) - (2*a*(a - b)*(x/a)^(1/2)*(ellipticE(asin((x/a)^(1/2)), a/b) - (a*sin(2*asin((x/a)^(1/2))))/(2*b*(1 - x/b)^(1/2)))*((a - x)/a)^(1/2)*((b - x)/b)^(1/2))/(b*(a/b - 1)*(x^3 - x^2*(a + b) + a*b*x)^(1/2)) - (2*a*((ellipticE(asin(((b - x)/b)^(1/2)), -b/(a - b)) - (((b - x)/(a - b) + 1)^(1/2)*((b - x)/b)^(1/2))/(1 - (b - x)/b)^(1/2))/(b/(a - b) + 1) - ellipticF(asin(((b - x)/b)^(1/2)), -b/(a - b)))*(x/b)^(1/2)*((b - x)/b)^(1/2)*((a - x)/(a - b))^(1/2))/(x^3 - x^2*(a + b) + a*b*x)^(1/2)","B"
1126,1,83,84,0.815164,"\text{Not used}","int((x^3 + 1)^(2/3)/x,x)","\frac{\ln\left({\left(x^3+1\right)}^{1/3}-1\right)}{3}+\frac{{\left(x^3+1\right)}^{2/3}}{2}+\ln\left({\left(x^3+1\right)}^{1/3}-9\,{\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}^2\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)-\ln\left({\left(x^3+1\right)}^{1/3}-9\,{\left(\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}^2\right)\,\left(\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)","Not used",1,"log((x^3 + 1)^(1/3) - 1)/3 + (x^3 + 1)^(2/3)/2 + log((x^3 + 1)^(1/3) - 9*((3^(1/2)*1i)/6 - 1/6)^2)*((3^(1/2)*1i)/6 - 1/6) - log((x^3 + 1)^(1/3) - 9*((3^(1/2)*1i)/6 + 1/6)^2)*((3^(1/2)*1i)/6 + 1/6)","B"
1127,0,-1,84,0.000000,"\text{Not used}","int(-((b - 2*a*x^2)*(a*x^4 + b*x^2)^(1/4))/(b + a*x^2),x)","\int -\frac{\left(b-2\,a\,x^2\right)\,{\left(a\,x^4+b\,x^2\right)}^{1/4}}{a\,x^2+b} \,d x","Not used",1,"int(-((b - 2*a*x^2)*(a*x^4 + b*x^2)^(1/4))/(b + a*x^2), x)","F"
1128,0,-1,84,0.000000,"\text{Not used}","int(((x^4 - 1)*(x^2 + x^4 + 1)^(1/2)*(x^2 + 3*x^4 + x^6 + x^8 + 1))/((x^4 + 1)^3*(x^4 - x^2 + 1)),x)","\int \frac{\left(x^4-1\right)\,\sqrt{x^4+x^2+1}\,\left(x^8+x^6+3\,x^4+x^2+1\right)}{{\left(x^4+1\right)}^3\,\left(x^4-x^2+1\right)} \,d x","Not used",1,"int(((x^4 - 1)*(x^2 + x^4 + 1)^(1/2)*(x^2 + 3*x^4 + x^6 + x^8 + 1))/((x^4 + 1)^3*(x^4 - x^2 + 1)), x)","F"
1129,0,-1,84,0.000000,"\text{Not used}","int(-((x^6 + 1)*(x^12 + 1)^(1/2)*(x^3 + x^6 - 1))/(x^7*(x^3 - x^6 + 1)),x)","\int -\frac{\left(x^6+1\right)\,\sqrt{x^{12}+1}\,\left(x^6+x^3-1\right)}{x^7\,\left(-x^6+x^3+1\right)} \,d x","Not used",1,"int(-((x^6 + 1)*(x^12 + 1)^(1/2)*(x^3 + x^6 - 1))/(x^7*(x^3 - x^6 + 1)), x)","F"
1130,1,44,84,0.856966,"\text{Not used}","int((d + c*(b + a*x)^(1/2))^(1/2),x)","\frac{4\,{\left(d+c\,\sqrt{b+a\,x}\right)}^{5/2}}{5\,a\,c^2}-\frac{4\,d\,{\left(d+c\,\sqrt{b+a\,x}\right)}^{3/2}}{3\,a\,c^2}","Not used",1,"(4*(d + c*(b + a*x)^(1/2))^(5/2))/(5*a*c^2) - (4*d*(d + c*(b + a*x)^(1/2))^(3/2))/(3*a*c^2)","B"
1131,1,79,85,0.998229,"\text{Not used}","int((2*x^2 + 1)/(x*(x^2 + 1)^(2/3)),x)","\frac{\ln\left(\frac{9\,{\left(x^2+1\right)}^{1/3}}{4}-\frac{9}{4}\right)}{2}+3\,{\left(x^2+1\right)}^{1/3}+\ln\left(\frac{9\,{\left(x^2+1\right)}^{1/3}}{2}+\frac{9}{4}-\frac{\sqrt{3}\,9{}\mathrm{i}}{4}\right)\,\left(-\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4}\right)-\ln\left(\frac{9\,{\left(x^2+1\right)}^{1/3}}{2}+\frac{9}{4}+\frac{\sqrt{3}\,9{}\mathrm{i}}{4}\right)\,\left(\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4}\right)","Not used",1,"log((9*(x^2 + 1)^(1/3))/4 - 9/4)/2 + 3*(x^2 + 1)^(1/3) + log((9*(x^2 + 1)^(1/3))/2 - (3^(1/2)*9i)/4 + 9/4)*((3^(1/2)*1i)/4 - 1/4) - log((3^(1/2)*9i)/4 + (9*(x^2 + 1)^(1/3))/2 + 9/4)*((3^(1/2)*1i)/4 + 1/4)","B"
1132,-1,-1,85,0.000000,"\text{Not used}","int(x/((k^2*x^2 - 1)*(x*(k^2*x - 1)*(x - 1))^(1/2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
1133,1,102,85,0.108375,"\text{Not used}","int((x + 1)/((x^3 - x)^(1/2)*(2*x + x^2 - 1)),x)","\frac{\sqrt{-x}\,\sqrt{1-x}\,\sqrt{x+1}\,\Pi \left(-\frac{1}{\sqrt{2}-1};\mathrm{asin}\left(\sqrt{-x}\right)\middle|-1\right)}{\sqrt{x^3-x}\,\left(\sqrt{2}-1\right)}-\frac{\sqrt{-x}\,\sqrt{1-x}\,\sqrt{x+1}\,\Pi \left(\frac{1}{\sqrt{2}+1};\mathrm{asin}\left(\sqrt{-x}\right)\middle|-1\right)}{\sqrt{x^3-x}\,\left(\sqrt{2}+1\right)}","Not used",1,"((-x)^(1/2)*(1 - x)^(1/2)*(x + 1)^(1/2)*ellipticPi(-1/(2^(1/2) - 1), asin((-x)^(1/2)), -1))/((x^3 - x)^(1/2)*(2^(1/2) - 1)) - ((-x)^(1/2)*(1 - x)^(1/2)*(x + 1)^(1/2)*ellipticPi(1/(2^(1/2) + 1), asin((-x)^(1/2)), -1))/((x^3 - x)^(1/2)*(2^(1/2) + 1))","B"
1134,1,159,85,0.798528,"\text{Not used}","int(-(x - x^2)/((x^3 - x)^(1/2)*(2*x + x^2 - 1)),x)","\frac{\sqrt{2}\,\sqrt{-x}\,\left(3\,\sqrt{2}+4\right)\,\sqrt{1-x}\,\sqrt{x+1}\,\Pi \left(\frac{1}{\sqrt{2}+1};\mathrm{asin}\left(\sqrt{-x}\right)\middle|-1\right)}{2\,\sqrt{x^3-x}\,\left(\sqrt{2}+1\right)}-\frac{2\,\sqrt{-x}\,\sqrt{1-x}\,\sqrt{x+1}\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{-x}\right)\middle|-1\right)}{\sqrt{x^3-x}}-\frac{\sqrt{2}\,\sqrt{-x}\,\left(3\,\sqrt{2}-4\right)\,\sqrt{1-x}\,\sqrt{x+1}\,\Pi \left(-\frac{1}{\sqrt{2}-1};\mathrm{asin}\left(\sqrt{-x}\right)\middle|-1\right)}{2\,\sqrt{x^3-x}\,\left(\sqrt{2}-1\right)}","Not used",1,"(2^(1/2)*(-x)^(1/2)*(3*2^(1/2) + 4)*(1 - x)^(1/2)*(x + 1)^(1/2)*ellipticPi(1/(2^(1/2) + 1), asin((-x)^(1/2)), -1))/(2*(x^3 - x)^(1/2)*(2^(1/2) + 1)) - (2*(-x)^(1/2)*(1 - x)^(1/2)*(x + 1)^(1/2)*ellipticF(asin((-x)^(1/2)), -1))/(x^3 - x)^(1/2) - (2^(1/2)*(-x)^(1/2)*(3*2^(1/2) - 4)*(1 - x)^(1/2)*(x + 1)^(1/2)*ellipticPi(-1/(2^(1/2) - 1), asin((-x)^(1/2)), -1))/(2*(x^3 - x)^(1/2)*(2^(1/2) - 1))","B"
1135,0,-1,85,0.000000,"\text{Not used}","int((x^2 + 3)/((x^2 + 1)^(1/3)*(x^2 + x^3 + 1)),x)","\int \frac{x^2+3}{{\left(x^2+1\right)}^{1/3}\,\left(x^3+x^2+1\right)} \,d x","Not used",1,"int((x^2 + 3)/((x^2 + 1)^(1/3)*(x^2 + x^3 + 1)), x)","F"
1136,0,-1,85,0.000000,"\text{Not used}","int(x/((x^3 - 1)*(2*x^3 - 1)^(2/3)),x)","\int \frac{x}{\left(x^3-1\right)\,{\left(2\,x^3-1\right)}^{2/3}} \,d x","Not used",1,"int(x/((x^3 - 1)*(2*x^3 - 1)^(2/3)), x)","F"
1137,0,-1,85,0.000000,"\text{Not used}","int(((2*x*(k - 1) - k*x^2 + 1)*(k^2*x^2 - 2*k*x + 1))/((x*(k*x - 1)*(x - 1))^(3/4)*(d + x^2*(3*d*k^2 + 1) - x*(3*d*k + 1) - d*k^3*x^3)),x)","\int \frac{\left(2\,x\,\left(k-1\right)-k\,x^2+1\right)\,\left(k^2\,x^2-2\,k\,x+1\right)}{{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{3/4}\,\left(d+x^2\,\left(3\,d\,k^2+1\right)-x\,\left(3\,d\,k+1\right)-d\,k^3\,x^3\right)} \,d x","Not used",1,"int(((2*x*(k - 1) - k*x^2 + 1)*(k^2*x^2 - 2*k*x + 1))/((x*(k*x - 1)*(x - 1))^(3/4)*(d + x^2*(3*d*k^2 + 1) - x*(3*d*k + 1) - d*k^3*x^3)), x)","F"
1138,1,205,85,0.031192,"\text{Not used}","int((x^4 - 1)/((x^3 - x)^(1/2)*(x^4 + 1)),x)","\frac{\sqrt{-x}\,\sqrt{1-x}\,\sqrt{x+1}\,\Pi \left(\sqrt{2}\,\left(-\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right);\mathrm{asin}\left(\sqrt{-x}\right)\middle|-1\right)}{\sqrt{x^3-x}}+\frac{\sqrt{-x}\,\sqrt{1-x}\,\sqrt{x+1}\,\Pi \left(\sqrt{2}\,\left(-\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right);\mathrm{asin}\left(\sqrt{-x}\right)\middle|-1\right)}{\sqrt{x^3-x}}+\frac{\sqrt{-x}\,\sqrt{1-x}\,\sqrt{x+1}\,\Pi \left(\sqrt{2}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right);\mathrm{asin}\left(\sqrt{-x}\right)\middle|-1\right)}{\sqrt{x^3-x}}+\frac{\sqrt{-x}\,\sqrt{1-x}\,\sqrt{x+1}\,\Pi \left(\sqrt{2}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right);\mathrm{asin}\left(\sqrt{-x}\right)\middle|-1\right)}{\sqrt{x^3-x}}-\frac{2\,\sqrt{-x}\,\sqrt{1-x}\,\sqrt{x+1}\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{-x}\right)\middle|-1\right)}{\sqrt{x^3-x}}","Not used",1,"((-x)^(1/2)*(1 - x)^(1/2)*(x + 1)^(1/2)*ellipticPi(2^(1/2)*(- 1/2 - 1i/2), asin((-x)^(1/2)), -1))/(x^3 - x)^(1/2) + ((-x)^(1/2)*(1 - x)^(1/2)*(x + 1)^(1/2)*ellipticPi(2^(1/2)*(- 1/2 + 1i/2), asin((-x)^(1/2)), -1))/(x^3 - x)^(1/2) + ((-x)^(1/2)*(1 - x)^(1/2)*(x + 1)^(1/2)*ellipticPi(2^(1/2)*(1/2 - 1i/2), asin((-x)^(1/2)), -1))/(x^3 - x)^(1/2) + ((-x)^(1/2)*(1 - x)^(1/2)*(x + 1)^(1/2)*ellipticPi(2^(1/2)*(1/2 + 1i/2), asin((-x)^(1/2)), -1))/(x^3 - x)^(1/2) - (2*(-x)^(1/2)*(1 - x)^(1/2)*(x + 1)^(1/2)*ellipticF(asin((-x)^(1/2)), -1))/(x^3 - x)^(1/2)","B"
1139,0,-1,85,0.000000,"\text{Not used}","int((x^2 - 1)/((x^2 + x^4)^(1/3)*(x + x^2 + 1)),x)","\int \frac{x^2-1}{{\left(x^4+x^2\right)}^{1/3}\,\left(x^2+x+1\right)} \,d x","Not used",1,"int((x^2 - 1)/((x^2 + x^4)^(1/3)*(x + x^2 + 1)), x)","F"
1140,0,-1,85,0.000000,"\text{Not used}","int(-((b + a*x^4)^(3/4)*(2*b - a*x^4))/x^8,x)","-\int \frac{{\left(a\,x^4+b\right)}^{3/4}\,\left(2\,b-a\,x^4\right)}{x^8} \,d x","Not used",1,"-int(((b + a*x^4)^(3/4)*(2*b - a*x^4))/x^8, x)","F"
1141,0,-1,85,0.000000,"\text{Not used}","int(-((a*x^4 - b)^(3/4)*(b - 2*a*x^4))/x^8,x)","-\int \frac{{\left(a\,x^4-b\right)}^{3/4}\,\left(b-2\,a\,x^4\right)}{x^8} \,d x","Not used",1,"-int(((a*x^4 - b)^(3/4)*(b - 2*a*x^4))/x^8, x)","F"
1142,0,-1,85,0.000000,"\text{Not used}","int(-((p^2*x^4 + q^2)^(1/2)*(q - p*x^2)*(a*q + b*x + a*p*x^2))/x^4,x)","-\int \frac{\sqrt{p^2\,x^4+q^2}\,\left(q-p\,x^2\right)\,\left(a\,p\,x^2+b\,x+a\,q\right)}{x^4} \,d x","Not used",1,"-int(((p^2*x^4 + q^2)^(1/2)*(q - p*x^2)*(a*q + b*x + a*p*x^2))/x^4, x)","F"
1143,0,-1,85,0.000000,"\text{Not used}","int((2*x^3 - 1)/((x^2 + x^5)^(1/3)*(x + x^3 + 1)),x)","\int \frac{2\,x^3-1}{{\left(x^5+x^2\right)}^{1/3}\,\left(x^3+x+1\right)} \,d x","Not used",1,"int((2*x^3 - 1)/((x^2 + x^5)^(1/3)*(x + x^3 + 1)), x)","F"
1144,0,-1,85,0.000000,"\text{Not used}","int((3*x^5 + 2)/((x^6 - x)^(1/3)*(x^2 + x^5 - 1)),x)","\int \frac{3\,x^5+2}{{\left(x^6-x\right)}^{1/3}\,\left(x^5+x^2-1\right)} \,d x","Not used",1,"int((3*x^5 + 2)/((x^6 - x)^(1/3)*(x^2 + x^5 - 1)), x)","F"
1145,0,-1,85,0.000000,"\text{Not used}","int(((x^6 - 1)^(1/2)*(2*x^6 - 1)^2)/(x^4*(4*x^6 - 1)),x)","\int \frac{\sqrt{x^6-1}\,{\left(2\,x^6-1\right)}^2}{x^4\,\left(4\,x^6-1\right)} \,d x","Not used",1,"int(((x^6 - 1)^(1/2)*(2*x^6 - 1)^2)/(x^4*(4*x^6 - 1)), x)","F"
1146,0,-1,85,0.000000,"\text{Not used}","int((x^4 + 1)/((x^4 - 1)^(1/4)*(x^4 + x^8 + 1)),x)","\int \frac{x^4+1}{{\left(x^4-1\right)}^{1/4}\,\left(x^8+x^4+1\right)} \,d x","Not used",1,"int((x^4 + 1)/((x^4 - 1)^(1/4)*(x^4 + x^8 + 1)), x)","F"
1147,0,-1,85,0.000000,"\text{Not used}","int(-(2*x^4 - 1)/((x^4 - 1)^(1/4)*(x^4 - 2*x^8 + 2)),x)","-\int \frac{2\,x^4-1}{{\left(x^4-1\right)}^{1/4}\,\left(-2\,x^8+x^4+2\right)} \,d x","Not used",1,"-int((2*x^4 - 1)/((x^4 - 1)^(1/4)*(x^4 - 2*x^8 + 2)), x)","F"
1148,0,-1,85,0.000000,"\text{Not used}","int((x^4 + 2*x^8 - 1)/((x^4 - 1)^(1/4)*(x^8 - x^4 + 1)),x)","\int \frac{2\,x^8+x^4-1}{{\left(x^4-1\right)}^{1/4}\,\left(x^8-x^4+1\right)} \,d x","Not used",1,"int((x^4 + 2*x^8 - 1)/((x^4 - 1)^(1/4)*(x^8 - x^4 + 1)), x)","F"
1149,0,-1,85,0.000000,"\text{Not used}","int(-1/((a*x^4 + b*x^2)^(1/4)*(2*b - a*x^8)),x)","-\int \frac{1}{{\left(a\,x^4+b\,x^2\right)}^{1/4}\,\left(2\,b-a\,x^8\right)} \,d x","Not used",1,"-int(1/((a*x^4 + b*x^2)^(1/4)*(2*b - a*x^8)), x)","F"
1150,0,-1,85,0.000000,"\text{Not used}","int(-1/((a*x^4 + b*x^2)^(1/4)*(2*b - a*x^8)),x)","-\int \frac{1}{{\left(a\,x^4+b\,x^2\right)}^{1/4}\,\left(2\,b-a\,x^8\right)} \,d x","Not used",1,"-int(1/((a*x^4 + b*x^2)^(1/4)*(2*b - a*x^8)), x)","F"
1151,0,-1,85,0.000000,"\text{Not used}","int(((x^5 + 4)*(x^4 + 2*x^5 - 2)^(1/4)*(x^8 - 4*x^5 + 2*x^10 + 2))/(x^10*(x^5 - 1)),x)","\int \frac{\left(x^5+4\right)\,{\left(2\,x^5+x^4-2\right)}^{1/4}\,\left(2\,x^{10}+x^8-4\,x^5+2\right)}{x^{10}\,\left(x^5-1\right)} \,d x","Not used",1,"int(((x^5 + 4)*(x^4 + 2*x^5 - 2)^(1/4)*(x^8 - 4*x^5 + 2*x^10 + 2))/(x^10*(x^5 - 1)), x)","F"
1152,0,-1,85,0.000000,"\text{Not used}","int((x^12 + 1)/((x^4 + 1)^(1/2)*(x^12 - 1)),x)","\int \frac{x^{12}+1}{\sqrt{x^4+1}\,\left(x^{12}-1\right)} \,d x","Not used",1,"int((x^12 + 1)/((x^4 + 1)^(1/2)*(x^12 - 1)), x)","F"
1153,0,-1,85,0.000000,"\text{Not used}","int(-((2*x^6 + 1)*(x^2 - x^4 - 2*x^6 - x^8 + x^12 + 1))/((1 - x^6)^(1/2)*(2*x^6 - 3*x^12 + x^18 - 1)),x)","\int -\frac{\left(2\,x^6+1\right)\,\left(x^{12}-x^8-2\,x^6-x^4+x^2+1\right)}{\sqrt{1-x^6}\,\left(x^{18}-3\,x^{12}+2\,x^6-1\right)} \,d x","Not used",1,"int(-((2*x^6 + 1)*(x^2 - x^4 - 2*x^6 - x^8 + x^12 + 1))/((1 - x^6)^(1/2)*(2*x^6 - 3*x^12 + x^18 - 1)), x)","F"
1154,0,-1,85,0.000000,"\text{Not used}","int(-((x^2 + 1)^(1/2) - x^2)/((x^2 + 1)^(1/2) + 1)^(1/2),x)","\int -\frac{\sqrt{x^2+1}-x^2}{\sqrt{\sqrt{x^2+1}+1}} \,d x","Not used",1,"int(-((x^2 + 1)^(1/2) - x^2)/((x^2 + 1)^(1/2) + 1)^(1/2), x)","F"
1155,0,-1,86,0.000000,"\text{Not used}","int(1/((x - 1)*(x^2 - 2*x + 2)^(1/3)),x)","\int \frac{1}{\left(x-1\right)\,{\left(x^2-2\,x+2\right)}^{1/3}} \,d x","Not used",1,"int(1/((x - 1)*(x^2 - 2*x + 2)^(1/3)), x)","F"
1156,0,-1,86,0.000000,"\text{Not used}","int(1/((x + 1)*(2*x + x^2 + 2)^(1/3)),x)","\int \frac{1}{\left(x+1\right)\,{\left(x^2+2\,x+2\right)}^{1/3}} \,d x","Not used",1,"int(1/((x + 1)*(2*x + x^2 + 2)^(1/3)), x)","F"
1157,1,83,86,0.854532,"\text{Not used}","int((x^3 - 1)^(2/3)/x,x)","\frac{\ln\left({\left(x^3-1\right)}^{1/3}+1\right)}{3}+\frac{{\left(x^3-1\right)}^{2/3}}{2}+\ln\left(9\,{\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}^2+{\left(x^3-1\right)}^{1/3}\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)-\ln\left(9\,{\left(\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}^2+{\left(x^3-1\right)}^{1/3}\right)\,\left(\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)","Not used",1,"log((x^3 - 1)^(1/3) + 1)/3 + (x^3 - 1)^(2/3)/2 + log(9*((3^(1/2)*1i)/6 - 1/6)^2 + (x^3 - 1)^(1/3))*((3^(1/2)*1i)/6 - 1/6) - log(9*((3^(1/2)*1i)/6 + 1/6)^2 + (x^3 - 1)^(1/3))*((3^(1/2)*1i)/6 + 1/6)","B"
1158,0,-1,86,0.000000,"\text{Not used}","int(-(x^2 + 3)/((x^2 + 1)^(1/3)*(x^2 - x^3 + 1)),x)","\int -\frac{x^2+3}{{\left(x^2+1\right)}^{1/3}\,\left(-x^3+x^2+1\right)} \,d x","Not used",1,"int(-(x^2 + 3)/((x^2 + 1)^(1/3)*(x^2 - x^3 + 1)), x)","F"
1159,0,-1,86,0.000000,"\text{Not used}","int((x*(k - 1)*(k + 1) - 2*k^2*x^2 + 2)/(((x^2 - 1)*(k^2*x^2 - 1))^(1/4)*(x^2*(d*k^2 + 3) - x^3*(d*k^2 - 1) - d + x*(d + 3) + 1)),x)","\int \frac{x\,\left(k-1\right)\,\left(k+1\right)-2\,k^2\,x^2+2}{{\left(\left(x^2-1\right)\,\left(k^2\,x^2-1\right)\right)}^{1/4}\,\left(\left(1-d\,k^2\right)\,x^3+\left(d\,k^2+3\right)\,x^2+\left(d+3\right)\,x-d+1\right)} \,d x","Not used",1,"int((x*(k - 1)*(k + 1) - 2*k^2*x^2 + 2)/(((x^2 - 1)*(k^2*x^2 - 1))^(1/4)*(x^2*(d*k^2 + 3) - x^3*(d*k^2 - 1) - d + x*(d + 3) + 1)), x)","F"
1160,0,-1,86,0.000000,"\text{Not used}","int((2*k^2*x^2 + x*(k - 1)*(k + 1) - 2)/(((x^2 - 1)*(k^2*x^2 - 1))^(1/4)*(x^3*(d*k^2 - 1) - d + x^2*(d*k^2 + 3) - x*(d + 3) + 1)),x)","\int \frac{2\,k^2\,x^2+x\,\left(k-1\right)\,\left(k+1\right)-2}{{\left(\left(x^2-1\right)\,\left(k^2\,x^2-1\right)\right)}^{1/4}\,\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)} \,d x","Not used",1,"int((2*k^2*x^2 + x*(k - 1)*(k + 1) - 2)/(((x^2 - 1)*(k^2*x^2 - 1))^(1/4)*(x^3*(d*k^2 - 1) - d + x^2*(d*k^2 + 3) - x*(d + 3) + 1)), x)","F"
1161,1,52,86,0.850476,"\text{Not used}","int((x^4 - 1)^(1/4)/x,x)","{\left(x^4-1\right)}^{1/4}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,{\left(x^4-1\right)}^{1/4}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{1}{4}-\frac{1}{4}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,{\left(x^4-1\right)}^{1/4}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{1}{4}+\frac{1}{4}{}\mathrm{i}\right)","Not used",1,"(x^4 - 1)^(1/4) - 2^(1/2)*atan(2^(1/2)*(x^4 - 1)^(1/4)*(1/2 + 1i/2))*(1/4 - 1i/4) - 2^(1/2)*atan(2^(1/2)*(x^4 - 1)^(1/4)*(1/2 - 1i/2))*(1/4 + 1i/4)","B"
1162,0,-1,86,0.000000,"\text{Not used}","int(-(x^4 - x)^(1/2)/(b - a*x^3),x)","-\int \frac{\sqrt{x^4-x}}{b-a\,x^3} \,d x","Not used",1,"-int((x^4 - x)^(1/2)/(b - a*x^3), x)","F"
1163,0,-1,86,0.000000,"\text{Not used}","int(1/((x^4 - 1)*(x^4 - x^2)^(1/4)),x)","\int \frac{1}{\left(x^4-1\right)\,{\left(x^4-x^2\right)}^{1/4}} \,d x","Not used",1,"int(1/((x^4 - 1)*(x^4 - x^2)^(1/4)), x)","F"
1164,0,-1,86,0.000000,"\text{Not used}","int(-(x^4 - x^3)^(1/4)/(2*x - x^2 + 1),x)","-\int \frac{{\left(x^4-x^3\right)}^{1/4}}{-x^2+2\,x+1} \,d x","Not used",1,"-int((x^4 - x^3)^(1/4)/(2*x - x^2 + 1), x)","F"
1165,0,-1,86,0.000000,"\text{Not used}","int(-(x^4 - x^3)^(1/4)/(2*x - x^2 + 1),x)","-\int \frac{{\left(x^4-x^3\right)}^{1/4}}{-x^2+2\,x+1} \,d x","Not used",1,"-int((x^4 - x^3)^(1/4)/(2*x - x^2 + 1), x)","F"
1166,0,-1,86,0.000000,"\text{Not used}","int(x^6/(a*x^4 - b)^(3/4),x)","\int \frac{x^6}{{\left(a\,x^4-b\right)}^{3/4}} \,d x","Not used",1,"int(x^6/(a*x^4 - b)^(3/4), x)","F"
1167,0,-1,86,0.000000,"\text{Not used}","int(-((b + a*x^4)^(1/4)*(b - a*x^4))/x^2,x)","-\int \frac{{\left(a\,x^4+b\right)}^{1/4}\,\left(b-a\,x^4\right)}{x^2} \,d x","Not used",1,"-int(((b + a*x^4)^(1/4)*(b - a*x^4))/x^2, x)","F"
1168,0,-1,86,0.000000,"\text{Not used}","int(-((x^3 - 1)^(2/3)*(x^3 + 2))/(x^6*(2*x^3 - x^6 + 4)),x)","\int -\frac{{\left(x^3-1\right)}^{2/3}\,\left(x^3+2\right)}{x^6\,\left(-x^6+2\,x^3+4\right)} \,d x","Not used",1,"int(-((x^3 - 1)^(2/3)*(x^3 + 2))/(x^6*(2*x^3 - x^6 + 4)), x)","F"
1169,0,-1,86,0.000000,"\text{Not used}","int(-((x^3 - 1)^(2/3)*(x^3 + 2))/(x^6*(2*x^3 - x^6 + 4)),x)","\int -\frac{{\left(x^3-1\right)}^{2/3}\,\left(x^3+2\right)}{x^6\,\left(-x^6+2\,x^3+4\right)} \,d x","Not used",1,"int(-((x^3 - 1)^(2/3)*(x^3 + 2))/(x^6*(2*x^3 - x^6 + 4)), x)","F"
1170,0,-1,86,0.000000,"\text{Not used}","int(((x^3 - 1)^(2/3)*(x^6 - 2*x^3 + 4))/(x^6*(4*x^3 + x^6 - 8)),x)","\int \frac{{\left(x^3-1\right)}^{2/3}\,\left(x^6-2\,x^3+4\right)}{x^6\,\left(x^6+4\,x^3-8\right)} \,d x","Not used",1,"int(((x^3 - 1)^(2/3)*(x^6 - 2*x^3 + 4))/(x^6*(4*x^3 + x^6 - 8)), x)","F"
1171,0,-1,86,0.000000,"\text{Not used}","int(((x^3 - 1)^(2/3)*(x^6 - 2*x^3 + 4))/(x^6*(4*x^3 + x^6 - 8)),x)","\int \frac{{\left(x^3-1\right)}^{2/3}\,\left(x^6-2\,x^3+4\right)}{x^6\,\left(x^6+4\,x^3-8\right)} \,d x","Not used",1,"int(((x^3 - 1)^(2/3)*(x^6 - 2*x^3 + 4))/(x^6*(4*x^3 + x^6 - 8)), x)","F"
1172,0,-1,86,0.000000,"\text{Not used}","int(((x^3 - 1)^(2/3)*(x^6 - 2*x^3 + 2))/(x^6*(4*x^3 + x^6 - 4)),x)","\int \frac{{\left(x^3-1\right)}^{2/3}\,\left(x^6-2\,x^3+2\right)}{x^6\,\left(x^6+4\,x^3-4\right)} \,d x","Not used",1,"int(((x^3 - 1)^(2/3)*(x^6 - 2*x^3 + 2))/(x^6*(4*x^3 + x^6 - 4)), x)","F"
1173,0,-1,86,0.000000,"\text{Not used}","int(((x^3 - 1)^(2/3)*(x^6 - 2*x^3 + 2))/(x^6*(4*x^3 + x^6 - 4)),x)","\int \frac{{\left(x^3-1\right)}^{2/3}\,\left(x^6-2\,x^3+2\right)}{x^6\,\left(x^6+4\,x^3-4\right)} \,d x","Not used",1,"int(((x^3 - 1)^(2/3)*(x^6 - 2*x^3 + 2))/(x^6*(4*x^3 + x^6 - 4)), x)","F"
1174,0,-1,86,0.000000,"\text{Not used}","int((x^4 + 2)/((x^4 - 1)^(1/4)*(x^8 - 2)),x)","\int \frac{x^4+2}{{\left(x^4-1\right)}^{1/4}\,\left(x^8-2\right)} \,d x","Not used",1,"int((x^4 + 2)/((x^4 - 1)^(1/4)*(x^8 - 2)), x)","F"
1175,0,-1,86,0.000000,"\text{Not used}","int(-(b - a*x^8)/(x^6*(b + a*x^4)^(3/4)),x)","-\int \frac{b-a\,x^8}{x^6\,{\left(a\,x^4+b\right)}^{3/4}} \,d x","Not used",1,"-int((b - a*x^8)/(x^6*(b + a*x^4)^(3/4)), x)","F"
1176,0,-1,87,0.000000,"\text{Not used}","int(x^(1/2)/((x - x^(1/2))^(1/2)*(x - 1)),x)","\int \frac{\sqrt{x}}{\sqrt{x-\sqrt{x}}\,\left(x-1\right)} \,d x","Not used",1,"int(x^(1/2)/((x - x^(1/2))^(1/2)*(x - 1)), x)","F"
1177,1,80,87,0.893735,"\text{Not used}","int(1/(x^3*(x^2 + 1)^(2/3)),x)","-\frac{\ln\left({\left(x^2+1\right)}^{1/3}-1\right)}{3}-\frac{{\left(x^2+1\right)}^{1/3}}{2\,x^2}-\ln\left(3\,{\left(x^2+1\right)}^{1/3}+\frac{3}{2}-\frac{\sqrt{3}\,3{}\mathrm{i}}{2}\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)+\ln\left(3\,{\left(x^2+1\right)}^{1/3}+\frac{3}{2}+\frac{\sqrt{3}\,3{}\mathrm{i}}{2}\right)\,\left(\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)","Not used",1,"log((3^(1/2)*3i)/2 + 3*(x^2 + 1)^(1/3) + 3/2)*((3^(1/2)*1i)/6 + 1/6) - (x^2 + 1)^(1/3)/(2*x^2) - log(3*(x^2 + 1)^(1/3) - (3^(1/2)*3i)/2 + 3/2)*((3^(1/2)*1i)/6 - 1/6) - log((x^2 + 1)^(1/3) - 1)/3","B"
1178,1,86,87,0.947287,"\text{Not used}","int((x^2 + 1)^(2/3)/x^3,x)","\frac{\ln\left({\left(x^2+1\right)}^{1/3}-1\right)}{3}+\ln\left({\left(x^2+1\right)}^{1/3}-9\,{\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}^2\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)-\ln\left({\left(x^2+1\right)}^{1/3}-9\,{\left(\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}^2\right)\,\left(\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)-\frac{{\left(x^2+1\right)}^{2/3}}{2\,x^2}","Not used",1,"log((x^2 + 1)^(1/3) - 1)/3 + log((x^2 + 1)^(1/3) - 9*((3^(1/2)*1i)/6 - 1/6)^2)*((3^(1/2)*1i)/6 - 1/6) - log((x^2 + 1)^(1/3) - 9*((3^(1/2)*1i)/6 + 1/6)^2)*((3^(1/2)*1i)/6 + 1/6) - (x^2 + 1)^(2/3)/(2*x^2)","B"
1179,1,89,87,0.867435,"\text{Not used}","int((x^2 + 1)^(2/3)/x,x)","\frac{\ln\left(\frac{9\,{\left(x^2+1\right)}^{1/3}}{4}-\frac{9}{4}\right)}{2}+\ln\left(\frac{9\,{\left(x^2+1\right)}^{1/3}}{4}-9\,{\left(-\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4}\right)}^2\right)\,\left(-\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4}\right)-\ln\left(\frac{9\,{\left(x^2+1\right)}^{1/3}}{4}-9\,{\left(\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4}\right)}^2\right)\,\left(\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4}\right)+\frac{3\,{\left(x^2+1\right)}^{2/3}}{4}","Not used",1,"log((9*(x^2 + 1)^(1/3))/4 - 9/4)/2 + log((9*(x^2 + 1)^(1/3))/4 - 9*((3^(1/2)*1i)/4 - 1/4)^2)*((3^(1/2)*1i)/4 - 1/4) - log((9*(x^2 + 1)^(1/3))/4 - 9*((3^(1/2)*1i)/4 + 1/4)^2)*((3^(1/2)*1i)/4 + 1/4) + (3*(x^2 + 1)^(2/3))/4","B"
1180,0,-1,87,0.000000,"\text{Not used}","int(((4*x + 3)*(x + 2*x^2 - 2*x^4)^(1/2))/((2*x + 1)*(2*x + x^3 + 1)),x)","\int \frac{\left(4\,x+3\right)\,\sqrt{-2\,x^4+2\,x^2+x}}{\left(2\,x+1\right)\,\left(x^3+2\,x+1\right)} \,d x","Not used",1,"int(((4*x + 3)*(x + 2*x^2 - 2*x^4)^(1/2))/((2*x + 1)*(2*x + x^3 + 1)), x)","F"
1181,1,89,87,0.822570,"\text{Not used}","int((x^4 + 1)^(2/3)/x,x)","\frac{\ln\left(\frac{9\,{\left(x^4+1\right)}^{1/3}}{16}-\frac{9}{16}\right)}{4}+\ln\left(\frac{9\,{\left(x^4+1\right)}^{1/3}}{16}-9\,{\left(-\frac{1}{8}+\frac{\sqrt{3}\,1{}\mathrm{i}}{8}\right)}^2\right)\,\left(-\frac{1}{8}+\frac{\sqrt{3}\,1{}\mathrm{i}}{8}\right)-\ln\left(\frac{9\,{\left(x^4+1\right)}^{1/3}}{16}-9\,{\left(\frac{1}{8}+\frac{\sqrt{3}\,1{}\mathrm{i}}{8}\right)}^2\right)\,\left(\frac{1}{8}+\frac{\sqrt{3}\,1{}\mathrm{i}}{8}\right)+\frac{3\,{\left(x^4+1\right)}^{2/3}}{8}","Not used",1,"log((9*(x^4 + 1)^(1/3))/16 - 9/16)/4 + log((9*(x^4 + 1)^(1/3))/16 - 9*((3^(1/2)*1i)/8 - 1/8)^2)*((3^(1/2)*1i)/8 - 1/8) - log((9*(x^4 + 1)^(1/3))/16 - 9*((3^(1/2)*1i)/8 + 1/8)^2)*((3^(1/2)*1i)/8 + 1/8) + (3*(x^4 + 1)^(2/3))/8","B"
1182,0,-1,87,0.000000,"\text{Not used}","int(-((x^4 - 1)^(1/3)*(x^4 + 3))/(x^2*(x^3 - x^4 + 1)),x)","\int -\frac{{\left(x^4-1\right)}^{1/3}\,\left(x^4+3\right)}{x^2\,\left(-x^4+x^3+1\right)} \,d x","Not used",1,"int(-((x^4 - 1)^(1/3)*(x^4 + 3))/(x^2*(x^3 - x^4 + 1)), x)","F"
1183,0,-1,87,0.000000,"\text{Not used}","int((x^2*(x^3 + 4))/((x^3 + 1)^(3/4)*(x^3 + x^4 + 1)),x)","\int \frac{x^2\,\left(x^3+4\right)}{{\left(x^3+1\right)}^{3/4}\,\left(x^4+x^3+1\right)} \,d x","Not used",1,"int((x^2*(x^3 + 4))/((x^3 + 1)^(3/4)*(x^3 + x^4 + 1)), x)","F"
1184,0,-1,87,0.000000,"\text{Not used}","int(x^2/((b + a*x^4)*(a*x^4 - b)^(3/4)),x)","\int \frac{x^2}{\left(a\,x^4+b\right)\,{\left(a\,x^4-b\right)}^{3/4}} \,d x","Not used",1,"int(x^2/((b + a*x^4)*(a*x^4 - b)^(3/4)), x)","F"
1185,0,-1,87,0.000000,"\text{Not used}","int(1/((b + a*x^4)*(a*x^4 - b)^(1/4)),x)","\int \frac{1}{\left(a\,x^4+b\right)\,{\left(a\,x^4-b\right)}^{1/4}} \,d x","Not used",1,"int(1/((b + a*x^4)*(a*x^4 - b)^(1/4)), x)","F"
1186,1,135,87,7.319205,"\text{Not used}","int(-(a^2*b + 3*a*x^2 - x^3 - a*x*(2*a + b))/((x*(a - x)*(b - x))^(1/2)*(x^2*(b^2*d - 1) + 2*a*x + d*x^4 - a^2 - 2*b*d*x^3)),x)","\frac{\ln\left(\frac{a-x+2\,d^{1/4}\,\sqrt{x\,\left(a-x\right)\,\left(b-x\right)}-\sqrt{d}\,x^2+b\,\sqrt{d}\,x}{a-x+\sqrt{d}\,x^2-b\,\sqrt{d}\,x}\right)}{2\,d^{1/4}}+\frac{\ln\left(\frac{x-a-\sqrt{d}\,x^2+b\,\sqrt{d}\,x+d^{1/4}\,\sqrt{x\,\left(a-x\right)\,\left(b-x\right)}\,2{}\mathrm{i}}{a-x-\sqrt{d}\,x^2+b\,\sqrt{d}\,x}\right)\,1{}\mathrm{i}}{2\,d^{1/4}}","Not used",1,"log((a - x + 2*d^(1/4)*(x*(a - x)*(b - x))^(1/2) - d^(1/2)*x^2 + b*d^(1/2)*x)/(a - x + d^(1/2)*x^2 - b*d^(1/2)*x))/(2*d^(1/4)) + (log((x - a + d^(1/4)*(x*(a - x)*(b - x))^(1/2)*2i - d^(1/2)*x^2 + b*d^(1/2)*x)/(a - x - d^(1/2)*x^2 + b*d^(1/2)*x))*1i)/(2*d^(1/4))","B"
1187,0,-1,87,0.000000,"\text{Not used}","int((k^2*x^4 + 1)/((k^2*x^4 - 1)*((x^2 - 1)*(k^2*x^2 - 1))^(1/2)),x)","\int \frac{k^2\,x^4+1}{\left(k^2\,x^4-1\right)\,\sqrt{\left(x^2-1\right)\,\left(k^2\,x^2-1\right)}} \,d x","Not used",1,"int((k^2*x^4 + 1)/((k^2*x^4 - 1)*((x^2 - 1)*(k^2*x^2 - 1))^(1/2)), x)","F"
1188,0,-1,87,0.000000,"\text{Not used}","int(-(x*(x*(2*k - 1) - 1)*(k*x - 1))/((x*(k*x - 1)*(x - 1))^(1/3)*(x^3*(c + 2*b*k + 2*c*k - 4) - x^4*(c*k + b*k^2 - 1) + x*(c - 4) - x^2*(b + 2*c + c*k - 6) + 1)),x)","-\int \frac{x\,\left(x\,\left(2\,k-1\right)-1\right)\,\left(k\,x-1\right)}{{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{1/3}\,\left(\left(-b\,k^2-c\,k+1\right)\,x^4+\left(c+2\,b\,k+2\,c\,k-4\right)\,x^3+\left(6-2\,c-c\,k-b\right)\,x^2+\left(c-4\right)\,x+1\right)} \,d x","Not used",1,"-int((x*(x*(2*k - 1) - 1)*(k*x - 1))/((x*(k*x - 1)*(x - 1))^(1/3)*(x^3*(c + 2*b*k + 2*c*k - 4) - x^4*(c*k + b*k^2 - 1) + x*(c - 4) - x^2*(b + 2*c + c*k - 6) + 1)), x)","F"
1189,1,89,87,1.003356,"\text{Not used}","int((x^5 + 1)^(2/3)/x,x)","\frac{\ln\left(\frac{9\,{\left(x^5+1\right)}^{1/3}}{25}-\frac{9}{25}\right)}{5}+\ln\left(\frac{9\,{\left(x^5+1\right)}^{1/3}}{25}-9\,{\left(-\frac{1}{10}+\frac{\sqrt{3}\,1{}\mathrm{i}}{10}\right)}^2\right)\,\left(-\frac{1}{10}+\frac{\sqrt{3}\,1{}\mathrm{i}}{10}\right)-\ln\left(\frac{9\,{\left(x^5+1\right)}^{1/3}}{25}-9\,{\left(\frac{1}{10}+\frac{\sqrt{3}\,1{}\mathrm{i}}{10}\right)}^2\right)\,\left(\frac{1}{10}+\frac{\sqrt{3}\,1{}\mathrm{i}}{10}\right)+\frac{3\,{\left(x^5+1\right)}^{2/3}}{10}","Not used",1,"log((9*(x^5 + 1)^(1/3))/25 - 9/25)/5 + log((9*(x^5 + 1)^(1/3))/25 - 9*((3^(1/2)*1i)/10 - 1/10)^2)*((3^(1/2)*1i)/10 - 1/10) - log((9*(x^5 + 1)^(1/3))/25 - 9*((3^(1/2)*1i)/10 + 1/10)^2)*((3^(1/2)*1i)/10 + 1/10) + (3*(x^5 + 1)^(2/3))/10","B"
1190,1,89,87,0.842587,"\text{Not used}","int((x^6 + 1)^(2/3)/x,x)","\frac{\ln\left(\frac{{\left(x^6+1\right)}^{1/3}}{4}-\frac{1}{4}\right)}{6}+\ln\left(\frac{{\left(x^6+1\right)}^{1/3}}{4}-9\,{\left(-\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)}^2\right)\,\left(-\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)-\ln\left(\frac{{\left(x^6+1\right)}^{1/3}}{4}-9\,{\left(\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)}^2\right)\,\left(\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)+\frac{{\left(x^6+1\right)}^{2/3}}{4}","Not used",1,"log((x^6 + 1)^(1/3)/4 - 1/4)/6 + log((x^6 + 1)^(1/3)/4 - 9*((3^(1/2)*1i)/12 - 1/12)^2)*((3^(1/2)*1i)/12 - 1/12) - log((x^6 + 1)^(1/3)/4 - 9*((3^(1/2)*1i)/12 + 1/12)^2)*((3^(1/2)*1i)/12 + 1/12) + (x^6 + 1)^(2/3)/4","B"
1191,0,-1,87,0.000000,"\text{Not used}","int(((2*x^4 - x^2 + 1)*(1 - x^4 - x^6 - x^2)^(1/2))/((x^2 - 1)*(x^2 + 1)*(x^4 + x^6 - 1)),x)","\int \frac{\left(2\,x^4-x^2+1\right)\,\sqrt{-x^6-x^4-x^2+1}}{\left(x^2-1\right)\,\left(x^2+1\right)\,\left(x^6+x^4-1\right)} \,d x","Not used",1,"int(((2*x^4 - x^2 + 1)*(1 - x^4 - x^6 - x^2)^(1/2))/((x^2 - 1)*(x^2 + 1)*(x^4 + x^6 - 1)), x)","F"
1192,0,-1,87,0.000000,"\text{Not used}","int(-((x^8 - 1)^(1/3)*(5*x^8 + 3))/(x^2*(x^3 - x^8 + 1)),x)","\int -\frac{{\left(x^8-1\right)}^{1/3}\,\left(5\,x^8+3\right)}{x^2\,\left(-x^8+x^3+1\right)} \,d x","Not used",1,"int(-((x^8 - 1)^(1/3)*(5*x^8 + 3))/(x^2*(x^3 - x^8 + 1)), x)","F"
1193,1,80,87,1.972720,"\text{Not used}","int(((x^8 + 2)*(x^16 - 2*x^8 + 4)^(1/2))/x^9,x)","\frac{\ln\left(\sqrt{x^{16}-2\,x^8+4}+x^8-1\right)}{8}-\frac{\ln\left(\frac{2\,\sqrt{x^{16}-2\,x^8+4}-x^8+4}{x^8}\right)}{8}-\frac{\sqrt{x^{16}-2\,x^8+4}}{4\,x^8}+\frac{\sqrt{x^{16}-2\,x^8+4}}{8}","Not used",1,"log((x^16 - 2*x^8 + 4)^(1/2) + x^8 - 1)/8 - log((2*(x^16 - 2*x^8 + 4)^(1/2) - x^8 + 4)/x^8)/8 - (x^16 - 2*x^8 + 4)^(1/2)/(4*x^8) + (x^16 - 2*x^8 + 4)^(1/2)/8","B"
1194,0,-1,87,0.000000,"\text{Not used}","int(-(x + (x + 1)^(1/2))^(1/2)/((x + 1)^(1/2) - 1),x)","-\int \frac{\sqrt{x+\sqrt{x+1}}}{\sqrt{x+1}-1} \,d x","Not used",1,"-int((x + (x + 1)^(1/2))^(1/2)/((x + 1)^(1/2) - 1), x)","F"
1195,1,63,87,0.962725,"\text{Not used}","int((c + (b + a*x)^(1/2))^(1/2)/(d - (b + a*x)^(1/2)),x)","\frac{4\,d\,\mathrm{atanh}\left(\frac{\sqrt{c+\sqrt{b+a\,x}}}{\sqrt{c+d}}\right)\,\sqrt{c+d}}{a}-\frac{4\,d\,\sqrt{c+\sqrt{b+a\,x}}}{a}-\frac{4\,{\left(c+\sqrt{b+a\,x}\right)}^{3/2}}{3\,a}","Not used",1,"(4*d*atanh((c + (b + a*x)^(1/2))^(1/2)/(c + d)^(1/2))*(c + d)^(1/2))/a - (4*d*(c + (b + a*x)^(1/2))^(1/2))/a - (4*(c + (b + a*x)^(1/2))^(3/2))/(3*a)","B"
1196,0,-1,87,0.000000,"\text{Not used}","int((a*x^2 + b^2)*(b + (a*x^2 + b^2)^(1/2))^(1/2),x)","\int \left(b^2+a\,x^2\right)\,\sqrt{b+\sqrt{b^2+a\,x^2}} \,d x","Not used",1,"int((a*x^2 + b^2)*(b + (a*x^2 + b^2)^(1/2))^(1/2), x)","F"
1197,0,-1,87,0.000000,"\text{Not used}","int(1/(x + (x + (x^2 + 1)^(1/2))^(1/2)),x)","\int \frac{1}{x+\sqrt{x+\sqrt{x^2+1}}} \,d x","Not used",1,"int(1/(x + (x + (x^2 + 1)^(1/2))^(1/2)), x)","F"
1198,0,-1,87,0.000000,"\text{Not used}","int(1/(x + (x + (x^2 + 1)^(1/2))^(1/2)),x)","\int \frac{1}{x+\sqrt{x+\sqrt{x^2+1}}} \,d x","Not used",1,"int(1/(x + (x + (x^2 + 1)^(1/2))^(1/2)), x)","F"
1199,0,-1,88,0.000000,"\text{Not used}","int(1/((x - 2)*(x^2 - 4*x - 4)^(1/3)),x)","\int \frac{1}{\left(x-2\right)\,{\left(x^2-4\,x-4\right)}^{1/3}} \,d x","Not used",1,"int(1/((x - 2)*(x^2 - 4*x - 4)^(1/3)), x)","F"
1200,1,103,88,4.311626,"\text{Not used}","int((k*x^2 - 1)/((b + a*k*x)*(a + b*x)*(x*(k*x - 1)*(x - 1))^(1/2)),x)","\frac{\ln\left(\frac{2\,\sqrt{x\,\left(k\,x-1\right)\,\left(x-1\right)}\,\sqrt{a\,b\,\left(a+b\right)\,\left(b+a\,k\right)}+b^2\,x\,1{}\mathrm{i}-a\,b\,1{}\mathrm{i}+a^2\,k\,x\,1{}\mathrm{i}+a\,b\,x\,2{}\mathrm{i}+a\,b\,k\,x\,2{}\mathrm{i}-a\,b\,k\,x^2\,1{}\mathrm{i}}{\left(b+a\,k\,x\right)\,\left(a+b\,x\right)}\right)\,1{}\mathrm{i}}{\sqrt{a\,b\,\left(a+b\right)\,\left(b+a\,k\right)}}","Not used",1,"(log((b^2*x*1i - a*b*1i + 2*(x*(k*x - 1)*(x - 1))^(1/2)*(a*b*(a + b)*(b + a*k))^(1/2) + a^2*k*x*1i + a*b*x*2i + a*b*k*x*2i - a*b*k*x^2*1i)/((b + a*k*x)*(a + b*x)))*1i)/(a*b*(a + b)*(b + a*k))^(1/2)","B"
1201,0,-1,88,0.000000,"\text{Not used}","int(-(x*(b - x)*(a*b - 2*a*x + x^2))/((x*(a - x)*(b - x))^(1/2)*(x^2*(b^2*d - 1) + 2*a*x + d*x^4 - a^2 - 2*b*d*x^3)),x)","\int -\frac{x\,\left(b-x\right)\,\left(x^2-2\,a\,x+a\,b\right)}{\sqrt{x\,\left(a-x\right)\,\left(b-x\right)}\,\left(-a^2+2\,a\,x+d\,x^4-2\,b\,d\,x^3+\left(b^2\,d-1\right)\,x^2\right)} \,d x","Not used",1,"int(-(x*(b - x)*(a*b - 2*a*x + x^2))/((x*(a - x)*(b - x))^(1/2)*(x^2*(b^2*d - 1) + 2*a*x + d*x^4 - a^2 - 2*b*d*x^3)), x)","F"
1202,0,-1,88,0.000000,"\text{Not used}","int(-(x^4 + 1)/((x^5 - x)^(1/3)*(x^2 - x^4 + 1)),x)","\int -\frac{x^4+1}{{\left(x^5-x\right)}^{1/3}\,\left(-x^4+x^2+1\right)} \,d x","Not used",1,"int(-(x^4 + 1)/((x^5 - x)^(1/3)*(x^2 - x^4 + 1)), x)","F"
1203,0,-1,88,0.000000,"\text{Not used}","int(x^3/(x^6 - 1)^(2/3),x)","\int \frac{x^3}{{\left(x^6-1\right)}^{2/3}} \,d x","Not used",1,"int(x^3/(x^6 - 1)^(2/3), x)","F"
1204,0,-1,88,0.000000,"\text{Not used}","int(x/(x^6 - 1)^(1/3),x)","\int \frac{x}{{\left(x^6-1\right)}^{1/3}} \,d x","Not used",1,"int(x/(x^6 - 1)^(1/3), x)","F"
1205,0,-1,88,0.000000,"\text{Not used}","int(x^3/(x^6 + 1)^(2/3),x)","\int \frac{x^3}{{\left(x^6+1\right)}^{2/3}} \,d x","Not used",1,"int(x^3/(x^6 + 1)^(2/3), x)","F"
1206,0,-1,88,0.000000,"\text{Not used}","int(x/(x^6 + 1)^(1/3),x)","\int \frac{x}{{\left(x^6+1\right)}^{1/3}} \,d x","Not used",1,"int(x/(x^6 + 1)^(1/3), x)","F"
1207,0,-1,88,0.000000,"\text{Not used}","int(-(b - a*x^8)/(x^2*(a*x^4 - b)^(3/4)),x)","-\int \frac{b-a\,x^8}{x^2\,{\left(a\,x^4-b\right)}^{3/4}} \,d x","Not used",1,"-int((b - a*x^8)/(x^2*(a*x^4 - b)^(3/4)), x)","F"
1208,1,71,88,1.304934,"\text{Not used}","int(-(3*b - 2*a*x^8)/(x^8*(a*x^4 - b)^(1/4)),x)","\frac{2\,a\,x\,{\left(1-\frac{a\,x^4}{b}\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{1}{4};\ \frac{5}{4};\ \frac{a\,x^4}{b}\right)}{{\left(a\,x^4-b\right)}^{1/4}}-\frac{{\left(a\,x^4-b\right)}^{3/4}\,\left(4\,a\,x^4+3\,b\right)}{7\,b\,x^7}","Not used",1,"(2*a*x*(1 - (a*x^4)/b)^(1/4)*hypergeom([1/4, 1/4], 5/4, (a*x^4)/b))/(a*x^4 - b)^(1/4) - ((a*x^4 - b)^(3/4)*(3*b + 4*a*x^4))/(7*b*x^7)","B"
1209,0,-1,88,0.000000,"\text{Not used}","int(-(b^2 - a^2*x^8)/(x^2*(b^2 + a^2*x^8)*(b + a*x^4)^(3/4)),x)","\int -\frac{b^2-a^2\,x^8}{x^2\,\left(a^2\,x^8+b^2\right)\,{\left(a\,x^4+b\right)}^{3/4}} \,d x","Not used",1,"int(-(b^2 - a^2*x^8)/(x^2*(b^2 + a^2*x^8)*(b + a*x^4)^(3/4)), x)","F"
1210,0,-1,88,0.000000,"\text{Not used}","int((a*x^2 + b*x*((a^2*x^2)/b^2 - a/b^2)^(1/2))^(1/2)/(x*((a^2*x^2)/b^2 - a/b^2)^(1/2)),x)","\int \frac{\sqrt{a\,x^2+b\,x\,\sqrt{\frac{a^2\,x^2}{b^2}-\frac{a}{b^2}}}}{x\,\sqrt{\frac{a^2\,x^2}{b^2}-\frac{a}{b^2}}} \,d x","Not used",1,"int((a*x^2 + b*x*((a^2*x^2)/b^2 - a/b^2)^(1/2))^(1/2)/(x*((a^2*x^2)/b^2 - a/b^2)^(1/2)), x)","F"
1211,1,89,89,0.829235,"\text{Not used}","int((x^2 - 1)^(2/3)/x,x)","\frac{\ln\left(\frac{9\,{\left(x^2-1\right)}^{1/3}}{4}+\frac{9}{4}\right)}{2}+\ln\left(9\,{\left(-\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4}\right)}^2+\frac{9\,{\left(x^2-1\right)}^{1/3}}{4}\right)\,\left(-\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4}\right)-\ln\left(9\,{\left(\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4}\right)}^2+\frac{9\,{\left(x^2-1\right)}^{1/3}}{4}\right)\,\left(\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4}\right)+\frac{3\,{\left(x^2-1\right)}^{2/3}}{4}","Not used",1,"log((9*(x^2 - 1)^(1/3))/4 + 9/4)/2 + log(9*((3^(1/2)*1i)/4 - 1/4)^2 + (9*(x^2 - 1)^(1/3))/4)*((3^(1/2)*1i)/4 - 1/4) - log(9*((3^(1/2)*1i)/4 + 1/4)^2 + (9*(x^2 - 1)^(1/3))/4)*((3^(1/2)*1i)/4 + 1/4) + (3*(x^2 - 1)^(2/3))/4","B"
1212,0,-1,89,0.000000,"\text{Not used}","int((x - 3)/((x^2 - 1)^(1/3)*(x + x^2 + 2)),x)","\int \frac{x-3}{{\left(x^2-1\right)}^{1/3}\,\left(x^2+x+2\right)} \,d x","Not used",1,"int((x - 3)/((x^2 - 1)^(1/3)*(x + x^2 + 2)), x)","F"
1213,1,509,89,0.203240,"\text{Not used}","int(-(x^2 + 2)/((x^3 - 1)^(1/2)*(2*x - x^2 + 2)),x)","-\frac{2\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}-\frac{\left(2\,\sqrt{3}-6\right)\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{\sqrt{3}\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{3};\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{3\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}+\frac{\left(2\,\sqrt{3}+6\right)\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(-\frac{\sqrt{3}\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{3};\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{3\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"((2*3^(1/2) + 6)*((3^(1/2)*1i)/2 + 3/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi(-(3^(1/2)*((3^(1/2)*1i)/2 + 3/2))/3, asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(3*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2)) - ((2*3^(1/2) - 6)*((3^(1/2)*1i)/2 + 3/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi((3^(1/2)*((3^(1/2)*1i)/2 + 3/2))/3, asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(3*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2)) - (2*((3^(1/2)*1i)/2 + 3/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticF(asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2)","B"
1214,1,86,89,0.951741,"\text{Not used}","int(((x^3 - 1)*(x^3 + 1)^(1/3))/x,x)","\frac{{\left(x^3+1\right)}^{4/3}}{4}-{\left(x^3+1\right)}^{1/3}-\frac{\ln\left({\left(x^3+1\right)}^{1/3}-1\right)}{3}-\ln\left(3\,{\left(x^3+1\right)}^{1/3}+\frac{3}{2}-\frac{\sqrt{3}\,3{}\mathrm{i}}{2}\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)+\ln\left(3\,{\left(x^3+1\right)}^{1/3}+\frac{3}{2}+\frac{\sqrt{3}\,3{}\mathrm{i}}{2}\right)\,\left(\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)","Not used",1,"(x^3 + 1)^(4/3)/4 - (x^3 + 1)^(1/3) - log((x^3 + 1)^(1/3) - 1)/3 - log(3*(x^3 + 1)^(1/3) - (3^(1/2)*3i)/2 + 3/2)*((3^(1/2)*1i)/6 - 1/6) + log((3^(1/2)*3i)/2 + 3*(x^3 + 1)^(1/3) + 3/2)*((3^(1/2)*1i)/6 + 1/6)","B"
1215,0,-1,89,0.000000,"\text{Not used}","int((2*x*(a - b) - a*b + x^2)/((x*(a - x)*(b - x))^(1/4)*(x*(b*d + 3*a^2) - x^2*(3*a + d) - a^3 + x^3)),x)","\int \frac{2\,x\,\left(a-b\right)-a\,b+x^2}{{\left(x\,\left(a-x\right)\,\left(b-x\right)\right)}^{1/4}\,\left(x\,\left(3\,a^2+b\,d\right)-x^2\,\left(3\,a+d\right)-a^3+x^3\right)} \,d x","Not used",1,"int((2*x*(a - b) - a*b + x^2)/((x*(a - x)*(b - x))^(1/4)*(x*(b*d + 3*a^2) - x^2*(3*a + d) - a^3 + x^3)), x)","F"
1216,0,-1,89,0.000000,"\text{Not used}","int(-((x^2 - 2*x + 1)*(2*x*(k - 1) + k*x^2 - 1))/((x*(k*x - 1)*(x - 1))^(3/4)*(d - d*x^3 + x^2*(3*d + k) - x*(3*d + 1))),x)","\int -\frac{\left(x^2-2\,x+1\right)\,\left(2\,x\,\left(k-1\right)+k\,x^2-1\right)}{{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{3/4}\,\left(-d\,x^3+\left(3\,d+k\right)\,x^2+\left(-3\,d-1\right)\,x+d\right)} \,d x","Not used",1,"int(-((x^2 - 2*x + 1)*(2*x*(k - 1) + k*x^2 - 1))/((x*(k*x - 1)*(x - 1))^(3/4)*(d - d*x^3 + x^2*(3*d + k) - x*(3*d + 1))), x)","F"
1217,1,565,89,0.069616,"\text{Not used}","int(x^2/((x^4 - 1)*(x + x^2 + x^3)^(1/2)),x)","\frac{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(-\frac{\sqrt{3}}{2}-\frac{1}{2}{}\mathrm{i};\mathrm{asin}\left(\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{2\,\sqrt{x^3+x^2-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,x}}+\frac{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{\sqrt{3}}{2}+\frac{1}{2}{}\mathrm{i};\mathrm{asin}\left(\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{2\,\sqrt{x^3+x^2-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,x}}-\frac{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{2\,\sqrt{x^3+x^2-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,x}}-\frac{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{2\,\sqrt{x^3+x^2-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,x}}","Not used",1,"(((3^(1/2)*1i)/2 - 1/2)*(x/((3^(1/2)*1i)/2 - 1/2))^(1/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 1/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 1/2))^(1/2)*ellipticPi(- 3^(1/2)/2 - 1i/2, asin((x/((3^(1/2)*1i)/2 - 1/2))^(1/2)), -((3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 + 1/2)))/(2*(x^2 + x^3 - x*((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2)) + (((3^(1/2)*1i)/2 - 1/2)*(x/((3^(1/2)*1i)/2 - 1/2))^(1/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 1/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 1/2))^(1/2)*ellipticPi(3^(1/2)/2 + 1i/2, asin((x/((3^(1/2)*1i)/2 - 1/2))^(1/2)), -((3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 + 1/2)))/(2*(x^2 + x^3 - x*((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2)) - (((3^(1/2)*1i)/2 - 1/2)*(x/((3^(1/2)*1i)/2 - 1/2))^(1/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 1/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 1/2))^(1/2)*ellipticPi(1/2 - (3^(1/2)*1i)/2, asin((x/((3^(1/2)*1i)/2 - 1/2))^(1/2)), -((3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 + 1/2)))/(2*(x^2 + x^3 - x*((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2)) - (((3^(1/2)*1i)/2 - 1/2)*(x/((3^(1/2)*1i)/2 - 1/2))^(1/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 1/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 1/2))^(1/2)*ellipticPi((3^(1/2)*1i)/2 - 1/2, asin((x/((3^(1/2)*1i)/2 - 1/2))^(1/2)), -((3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 + 1/2)))/(2*(x^2 + x^3 - x*((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2))","B"
1218,1,565,89,0.057632,"\text{Not used}","int((x + x^2 + x^3)^(1/2)/(x^4 - 1),x)","\frac{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(-\frac{\sqrt{3}}{2}-\frac{1}{2}{}\mathrm{i};\mathrm{asin}\left(\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{2\,\sqrt{x^3+x^2-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,x}}+\frac{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{\sqrt{3}}{2}+\frac{1}{2}{}\mathrm{i};\mathrm{asin}\left(\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{2\,\sqrt{x^3+x^2-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,x}}+\frac{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{2\,\sqrt{x^3+x^2-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,x}}-\frac{3\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{2\,\sqrt{x^3+x^2-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,x}}","Not used",1,"(((3^(1/2)*1i)/2 - 1/2)*(x/((3^(1/2)*1i)/2 - 1/2))^(1/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 1/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 1/2))^(1/2)*ellipticPi(- 3^(1/2)/2 - 1i/2, asin((x/((3^(1/2)*1i)/2 - 1/2))^(1/2)), -((3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 + 1/2)))/(2*(x^2 + x^3 - x*((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2)) + (((3^(1/2)*1i)/2 - 1/2)*(x/((3^(1/2)*1i)/2 - 1/2))^(1/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 1/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 1/2))^(1/2)*ellipticPi(3^(1/2)/2 + 1i/2, asin((x/((3^(1/2)*1i)/2 - 1/2))^(1/2)), -((3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 + 1/2)))/(2*(x^2 + x^3 - x*((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2)) + (((3^(1/2)*1i)/2 - 1/2)*(x/((3^(1/2)*1i)/2 - 1/2))^(1/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 1/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 1/2))^(1/2)*ellipticPi(1/2 - (3^(1/2)*1i)/2, asin((x/((3^(1/2)*1i)/2 - 1/2))^(1/2)), -((3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 + 1/2)))/(2*(x^2 + x^3 - x*((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2)) - (3*((3^(1/2)*1i)/2 - 1/2)*(x/((3^(1/2)*1i)/2 - 1/2))^(1/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 1/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 1/2))^(1/2)*ellipticPi((3^(1/2)*1i)/2 - 1/2, asin((x/((3^(1/2)*1i)/2 - 1/2))^(1/2)), -((3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 + 1/2)))/(2*(x^2 + x^3 - x*((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2))","B"
1219,1,89,89,0.832059,"\text{Not used}","int((x^4 - 1)^(2/3)/x,x)","\frac{\ln\left(\frac{9\,{\left(x^4-1\right)}^{1/3}}{16}+\frac{9}{16}\right)}{4}+\ln\left(9\,{\left(-\frac{1}{8}+\frac{\sqrt{3}\,1{}\mathrm{i}}{8}\right)}^2+\frac{9\,{\left(x^4-1\right)}^{1/3}}{16}\right)\,\left(-\frac{1}{8}+\frac{\sqrt{3}\,1{}\mathrm{i}}{8}\right)-\ln\left(9\,{\left(\frac{1}{8}+\frac{\sqrt{3}\,1{}\mathrm{i}}{8}\right)}^2+\frac{9\,{\left(x^4-1\right)}^{1/3}}{16}\right)\,\left(\frac{1}{8}+\frac{\sqrt{3}\,1{}\mathrm{i}}{8}\right)+\frac{3\,{\left(x^4-1\right)}^{2/3}}{8}","Not used",1,"log((9*(x^4 - 1)^(1/3))/16 + 9/16)/4 + log(9*((3^(1/2)*1i)/8 - 1/8)^2 + (9*(x^4 - 1)^(1/3))/16)*((3^(1/2)*1i)/8 - 1/8) - log(9*((3^(1/2)*1i)/8 + 1/8)^2 + (9*(x^4 - 1)^(1/3))/16)*((3^(1/2)*1i)/8 + 1/8) + (3*(x^4 - 1)^(2/3))/8","B"
1220,1,698,89,0.032967,"\text{Not used}","int((x^4 - x^2 + 1)/((x^4 - 1)*(x + x^2 + x^3)^(1/2)),x)","\frac{2\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{\sqrt{x^3+x^2-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,x}}-\frac{3\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(-\frac{\sqrt{3}}{2}-\frac{1}{2}{}\mathrm{i};\mathrm{asin}\left(\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{2\,\sqrt{x^3+x^2-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,x}}-\frac{3\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{\sqrt{3}}{2}+\frac{1}{2}{}\mathrm{i};\mathrm{asin}\left(\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{2\,\sqrt{x^3+x^2-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,x}}-\frac{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{2\,\sqrt{x^3+x^2-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,x}}-\frac{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{2\,\sqrt{x^3+x^2-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,x}}","Not used",1,"(2*((3^(1/2)*1i)/2 - 1/2)*(x/((3^(1/2)*1i)/2 - 1/2))^(1/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 1/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 1/2))^(1/2)*ellipticF(asin((x/((3^(1/2)*1i)/2 - 1/2))^(1/2)), -((3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 + 1/2)))/(x^2 + x^3 - x*((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2) - (3*((3^(1/2)*1i)/2 - 1/2)*(x/((3^(1/2)*1i)/2 - 1/2))^(1/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 1/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 1/2))^(1/2)*ellipticPi(- 3^(1/2)/2 - 1i/2, asin((x/((3^(1/2)*1i)/2 - 1/2))^(1/2)), -((3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 + 1/2)))/(2*(x^2 + x^3 - x*((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2)) - (3*((3^(1/2)*1i)/2 - 1/2)*(x/((3^(1/2)*1i)/2 - 1/2))^(1/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 1/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 1/2))^(1/2)*ellipticPi(3^(1/2)/2 + 1i/2, asin((x/((3^(1/2)*1i)/2 - 1/2))^(1/2)), -((3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 + 1/2)))/(2*(x^2 + x^3 - x*((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2)) - (((3^(1/2)*1i)/2 - 1/2)*(x/((3^(1/2)*1i)/2 - 1/2))^(1/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 1/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 1/2))^(1/2)*ellipticPi(1/2 - (3^(1/2)*1i)/2, asin((x/((3^(1/2)*1i)/2 - 1/2))^(1/2)), -((3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 + 1/2)))/(2*(x^2 + x^3 - x*((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2)) - (((3^(1/2)*1i)/2 - 1/2)*(x/((3^(1/2)*1i)/2 - 1/2))^(1/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 1/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 1/2))^(1/2)*ellipticPi((3^(1/2)*1i)/2 - 1/2, asin((x/((3^(1/2)*1i)/2 - 1/2))^(1/2)), -((3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 + 1/2)))/(2*(x^2 + x^3 - x*((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2))","B"
1221,0,-1,89,0.000000,"\text{Not used}","int((x^2 - x + 1)/((x^2 - 1)*(x^2 - x - x^3 + x^4 + 1)^(1/2)),x)","\int \frac{x^2-x+1}{\left(x^2-1\right)\,\sqrt{x^4-x^3+x^2-x+1}} \,d x","Not used",1,"int((x^2 - x + 1)/((x^2 - 1)*(x^2 - x - x^3 + x^4 + 1)^(1/2)), x)","F"
1222,0,-1,89,0.000000,"\text{Not used}","int(((x - 1)^2*(x - 2*x^2 + 2*x^3))/((2*x - 1)*(-(2*x - 1)/(2*x^2 + 1))^(1/2)*(4*x + 3*x^2 - 4*x^3 + 2*x^4 - 2)),x)","\int \frac{{\left(x-1\right)}^2\,\left(2\,x^3-2\,x^2+x\right)}{\left(2\,x-1\right)\,\sqrt{-\frac{2\,x-1}{2\,x^2+1}}\,\left(2\,x^4-4\,x^3+3\,x^2+4\,x-2\right)} \,d x","Not used",1,"int(((x - 1)^2*(x - 2*x^2 + 2*x^3))/((2*x - 1)*(-(2*x - 1)/(2*x^2 + 1))^(1/2)*(4*x + 3*x^2 - 4*x^3 + 2*x^4 - 2)), x)","F"
1223,1,89,89,0.846470,"\text{Not used}","int((x^5 - 1)^(2/3)/x,x)","\frac{\ln\left(\frac{9\,{\left(x^5-1\right)}^{1/3}}{25}+\frac{9}{25}\right)}{5}+\ln\left(9\,{\left(-\frac{1}{10}+\frac{\sqrt{3}\,1{}\mathrm{i}}{10}\right)}^2+\frac{9\,{\left(x^5-1\right)}^{1/3}}{25}\right)\,\left(-\frac{1}{10}+\frac{\sqrt{3}\,1{}\mathrm{i}}{10}\right)-\ln\left(9\,{\left(\frac{1}{10}+\frac{\sqrt{3}\,1{}\mathrm{i}}{10}\right)}^2+\frac{9\,{\left(x^5-1\right)}^{1/3}}{25}\right)\,\left(\frac{1}{10}+\frac{\sqrt{3}\,1{}\mathrm{i}}{10}\right)+\frac{3\,{\left(x^5-1\right)}^{2/3}}{10}","Not used",1,"log((9*(x^5 - 1)^(1/3))/25 + 9/25)/5 + log(9*((3^(1/2)*1i)/10 - 1/10)^2 + (9*(x^5 - 1)^(1/3))/25)*((3^(1/2)*1i)/10 - 1/10) - log(9*((3^(1/2)*1i)/10 + 1/10)^2 + (9*(x^5 - 1)^(1/3))/25)*((3^(1/2)*1i)/10 + 1/10) + (3*(x^5 - 1)^(2/3))/10","B"
1224,1,89,89,0.841480,"\text{Not used}","int((x^6 - 1)^(2/3)/x,x)","\frac{\ln\left(\frac{{\left(x^6-1\right)}^{1/3}}{4}+\frac{1}{4}\right)}{6}+\ln\left(9\,{\left(-\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)}^2+\frac{{\left(x^6-1\right)}^{1/3}}{4}\right)\,\left(-\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)-\ln\left(9\,{\left(\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)}^2+\frac{{\left(x^6-1\right)}^{1/3}}{4}\right)\,\left(\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)+\frac{{\left(x^6-1\right)}^{2/3}}{4}","Not used",1,"log((x^6 - 1)^(1/3)/4 + 1/4)/6 + log(9*((3^(1/2)*1i)/12 - 1/12)^2 + (x^6 - 1)^(1/3)/4)*((3^(1/2)*1i)/12 - 1/12) - log(9*((3^(1/2)*1i)/12 + 1/12)^2 + (x^6 - 1)^(1/3)/4)*((3^(1/2)*1i)/12 + 1/12) + (x^6 - 1)^(2/3)/4","B"
1225,0,-1,89,0.000000,"\text{Not used}","int(((b + a^2*x^4)^(1/2) + a*x^2)^(1/2),x)","\int \sqrt{\sqrt{a^2\,x^4+b}+a\,x^2} \,d x","Not used",1,"int(((b + a^2*x^4)^(1/2) + a*x^2)^(1/2), x)","F"
1226,1,86,90,0.884915,"\text{Not used}","int((x^2 - 1)^(2/3)/x^3,x)","-\frac{\ln\left({\left(x^2-1\right)}^{1/3}+1\right)}{3}-\ln\left(9\,{\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}^2+{\left(x^2-1\right)}^{1/3}\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)+\ln\left(9\,{\left(\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}^2+{\left(x^2-1\right)}^{1/3}\right)\,\left(\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)-\frac{{\left(x^2-1\right)}^{2/3}}{2\,x^2}","Not used",1,"log(9*((3^(1/2)*1i)/6 + 1/6)^2 + (x^2 - 1)^(1/3))*((3^(1/2)*1i)/6 + 1/6) - log(9*((3^(1/2)*1i)/6 - 1/6)^2 + (x^2 - 1)^(1/3))*((3^(1/2)*1i)/6 - 1/6) - log((x^2 - 1)^(1/3) + 1)/3 - (x^2 - 1)^(2/3)/(2*x^2)","B"
1227,1,89,90,1.333345,"\text{Not used}","int((x + x^2 - 2)/(x^2*(x^2 - 1)^(3/4)),x)","\frac{4\,{\left(\frac{1}{x^2}\right)}^{3/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{3}{4},\frac{5}{4};\ \frac{9}{4};\ \frac{1}{x^2}\right)}{5\,x}+\frac{x\,{\left(1-x^2\right)}^{3/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2},\frac{3}{4};\ \frac{3}{2};\ x^2\right)}{{\left(x^2-1\right)}^{3/4}}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,{\left(x^2-1\right)}^{1/4}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,{\left(x^2-1\right)}^{1/4}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)","Not used",1,"2^(1/2)*atan(2^(1/2)*(x^2 - 1)^(1/4)*(1/2 - 1i/2))*(1/2 + 1i/2) + 2^(1/2)*atan(2^(1/2)*(x^2 - 1)^(1/4)*(1/2 + 1i/2))*(1/2 - 1i/2) + (4*(1/x^2)^(3/4)*hypergeom([3/4, 5/4], 9/4, 1/x^2))/(5*x) + (x*(1 - x^2)^(3/4)*hypergeom([1/2, 3/4], 3/2, x^2))/(x^2 - 1)^(3/4)","B"
1228,1,78,90,0.895968,"\text{Not used}","int((x^3 + 1)^(1/3)/x^4,x)","\frac{\ln\left(\frac{{\left(x^3+1\right)}^{1/3}}{9}-\frac{1}{9}\right)}{9}+\ln\left({\left(x^3+1\right)}^{1/3}+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(-\frac{1}{18}+\frac{\sqrt{3}\,1{}\mathrm{i}}{18}\right)-\ln\left({\left(x^3+1\right)}^{1/3}+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{18}+\frac{\sqrt{3}\,1{}\mathrm{i}}{18}\right)-\frac{{\left(x^3+1\right)}^{1/3}}{3\,x^3}","Not used",1,"log((x^3 + 1)^(1/3)/9 - 1/9)/9 + log((x^3 + 1)^(1/3) - (3^(1/2)*1i)/2 + 1/2)*((3^(1/2)*1i)/18 - 1/18) - log((3^(1/2)*1i)/2 + (x^3 + 1)^(1/3) + 1/2)*((3^(1/2)*1i)/18 + 1/18) - (x^3 + 1)^(1/3)/(3*x^3)","B"
1229,1,92,90,0.895189,"\text{Not used}","int((x^3 + 1)^(2/3)/x^4,x)","\frac{2\,\ln\left(\frac{4\,{\left(x^3+1\right)}^{1/3}}{9}-\frac{4}{9}\right)}{9}+\ln\left(\frac{4\,{\left(x^3+1\right)}^{1/3}}{9}-9\,{\left(-\frac{1}{9}+\frac{\sqrt{3}\,1{}\mathrm{i}}{9}\right)}^2\right)\,\left(-\frac{1}{9}+\frac{\sqrt{3}\,1{}\mathrm{i}}{9}\right)-\ln\left(\frac{4\,{\left(x^3+1\right)}^{1/3}}{9}-9\,{\left(\frac{1}{9}+\frac{\sqrt{3}\,1{}\mathrm{i}}{9}\right)}^2\right)\,\left(\frac{1}{9}+\frac{\sqrt{3}\,1{}\mathrm{i}}{9}\right)-\frac{{\left(x^3+1\right)}^{2/3}}{3\,x^3}","Not used",1,"(2*log((4*(x^3 + 1)^(1/3))/9 - 4/9))/9 + log((4*(x^3 + 1)^(1/3))/9 - 9*((3^(1/2)*1i)/9 - 1/9)^2)*((3^(1/2)*1i)/9 - 1/9) - log((4*(x^3 + 1)^(1/3))/9 - 9*((3^(1/2)*1i)/9 + 1/9)^2)*((3^(1/2)*1i)/9 + 1/9) - (x^3 + 1)^(2/3)/(3*x^3)","B"
1230,0,-1,90,0.000000,"\text{Not used}","int((2*k - 2*k*x^2 + x*(k - 1)*(k + 1))/(((x^2 - 1)*(k^2*x^2 - 1))^(1/4)*(x^2*(d + 3*k^2) - d - k*x*(d + 3) + k*x^3*(d - k^2) + 1)),x)","\int \frac{-2\,k\,x^2+\left(k-1\right)\,\left(k+1\right)\,x+2\,k}{{\left(\left(x^2-1\right)\,\left(k^2\,x^2-1\right)\right)}^{1/4}\,\left(k\,\left(d-k^2\right)\,x^3+\left(3\,k^2+d\right)\,x^2-k\,\left(d+3\right)\,x-d+1\right)} \,d x","Not used",1,"int((2*k - 2*k*x^2 + x*(k - 1)*(k + 1))/(((x^2 - 1)*(k^2*x^2 - 1))^(1/4)*(x^2*(d + 3*k^2) - d - k*x*(d + 3) + k*x^3*(d - k^2) + 1)), x)","F"
1231,0,-1,90,0.000000,"\text{Not used}","int((2*k*x^2 - 2*k + x*(k - 1)*(k + 1))/(((x^2 - 1)*(k^2*x^2 - 1))^(1/4)*(x^2*(d + 3*k^2) - d + k*x*(d + 3) - k*x^3*(d - k^2) + 1)),x)","\int \frac{2\,k\,x^2+\left(k-1\right)\,\left(k+1\right)\,x-2\,k}{{\left(\left(x^2-1\right)\,\left(k^2\,x^2-1\right)\right)}^{1/4}\,\left(-k\,\left(d-k^2\right)\,x^3+\left(3\,k^2+d\right)\,x^2+k\,\left(d+3\right)\,x-d+1\right)} \,d x","Not used",1,"int((2*k*x^2 - 2*k + x*(k - 1)*(k + 1))/(((x^2 - 1)*(k^2*x^2 - 1))^(1/4)*(x^2*(d + 3*k^2) - d + k*x*(d + 3) - k*x^3*(d - k^2) + 1)), x)","F"
1232,1,71,90,1.113328,"\text{Not used}","int(((x^2 + 1)*(1 - 2*x^4)^(1/2))/x^5,x)","-\frac{\ln\left(\sqrt{\frac{1}{2\,x^4}-1}-\sqrt{\frac{1}{2\,x^4}}\right)}{2}-\frac{\sqrt{2}\,\mathrm{asin}\left(\sqrt{2}\,x^2\right)}{2}-\frac{\sqrt{2}\,\sqrt{\frac{1}{2}-x^4}}{2\,x^2}-\frac{\sqrt{2}\,\sqrt{\frac{1}{2}-x^4}}{4\,x^4}","Not used",1,"- log((1/(2*x^4) - 1)^(1/2) - (1/(2*x^4))^(1/2))/2 - (2^(1/2)*asin(2^(1/2)*x^2))/2 - (2^(1/2)*(1/2 - x^4)^(1/2))/(2*x^2) - (2^(1/2)*(1/2 - x^4)^(1/2))/(4*x^4)","B"
1233,1,92,90,0.887148,"\text{Not used}","int((x^4 + 1)^(2/3)/x^5,x)","\frac{\ln\left(\frac{{\left(x^4+1\right)}^{1/3}}{4}-\frac{1}{4}\right)}{6}+\ln\left(\frac{{\left(x^4+1\right)}^{1/3}}{4}-9\,{\left(-\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)}^2\right)\,\left(-\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)-\ln\left(\frac{{\left(x^4+1\right)}^{1/3}}{4}-9\,{\left(\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)}^2\right)\,\left(\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)-\frac{{\left(x^4+1\right)}^{2/3}}{4\,x^4}","Not used",1,"log((x^4 + 1)^(1/3)/4 - 1/4)/6 + log((x^4 + 1)^(1/3)/4 - 9*((3^(1/2)*1i)/12 - 1/12)^2)*((3^(1/2)*1i)/12 - 1/12) - log((x^4 + 1)^(1/3)/4 - 9*((3^(1/2)*1i)/12 + 1/12)^2)*((3^(1/2)*1i)/12 + 1/12) - (x^4 + 1)^(2/3)/(4*x^4)","B"
1234,0,-1,90,0.000000,"\text{Not used}","int(((x^4 + 1)^(2/3)*(x^4 - 3))/(x^3*(x^4 - x^3 + 1)),x)","\int \frac{{\left(x^4+1\right)}^{2/3}\,\left(x^4-3\right)}{x^3\,\left(x^4-x^3+1\right)} \,d x","Not used",1,"int(((x^4 + 1)^(2/3)*(x^4 - 3))/(x^3*(x^4 - x^3 + 1)), x)","F"
1235,0,-1,90,0.000000,"\text{Not used}","int(((x^4 - 1)^(1/3)*(x^4 + 3))/(x^2*(x^3 + x^4 - 1)),x)","\int \frac{{\left(x^4-1\right)}^{1/3}\,\left(x^4+3\right)}{x^2\,\left(x^4+x^3-1\right)} \,d x","Not used",1,"int(((x^4 - 1)^(1/3)*(x^4 + 3))/(x^2*(x^3 + x^4 - 1)), x)","F"
1236,0,-1,90,0.000000,"\text{Not used}","int(((x^4 - 1)^(2/3)*(x^4 + 3))/(x^3*(x^3 + x^4 - 1)),x)","\int \frac{{\left(x^4-1\right)}^{2/3}\,\left(x^4+3\right)}{x^3\,\left(x^4+x^3-1\right)} \,d x","Not used",1,"int(((x^4 - 1)^(2/3)*(x^4 + 3))/(x^3*(x^3 + x^4 - 1)), x)","F"
1237,0,-1,90,0.000000,"\text{Not used}","int(((x^4 + 1)^(1/3)*(x^4 - 3))/(x^2*(x^3 + x^4 + 1)),x)","\int \frac{{\left(x^4+1\right)}^{1/3}\,\left(x^4-3\right)}{x^2\,\left(x^4+x^3+1\right)} \,d x","Not used",1,"int(((x^4 + 1)^(1/3)*(x^4 - 3))/(x^2*(x^3 + x^4 + 1)), x)","F"
1238,0,-1,90,0.000000,"\text{Not used}","int(-((3*x + 4)*(x - x^4 + 1)*(2*x^4 - x - 1)^(1/4))/(x^6*(x + x^4 + 1)),x)","\int -\frac{\left(3\,x+4\right)\,\left(-x^4+x+1\right)\,{\left(2\,x^4-x-1\right)}^{1/4}}{x^6\,\left(x^4+x+1\right)} \,d x","Not used",1,"int(-((3*x + 4)*(x - x^4 + 1)*(2*x^4 - x - 1)^(1/4))/(x^6*(x + x^4 + 1)), x)","F"
1239,0,-1,90,0.000000,"\text{Not used}","int((3*x^4 + 1)^(1/2)/(3*x^4 - 1),x)","\int \frac{\sqrt{3\,x^4+1}}{3\,x^4-1} \,d x","Not used",1,"int((3*x^4 + 1)^(1/2)/(3*x^4 - 1), x)","F"
1240,0,-1,90,0.000000,"\text{Not used}","int(-((b + a*x^2)*(a*x^4 - b*x^2)^(1/4))/(b - a*x^2),x)","\int -\frac{\left(a\,x^2+b\right)\,{\left(a\,x^4-b\,x^2\right)}^{1/4}}{b-a\,x^2} \,d x","Not used",1,"int(-((b + a*x^2)*(a*x^4 - b*x^2)^(1/4))/(b - a*x^2), x)","F"
1241,0,-1,90,0.000000,"\text{Not used}","int(-(b - 2*a*x^2)/((b + a*x^2)*(a*x^4 + b*x^2)^(1/4)),x)","\int -\frac{b-2\,a\,x^2}{\left(a\,x^2+b\right)\,{\left(a\,x^4+b\,x^2\right)}^{1/4}} \,d x","Not used",1,"int(-(b - 2*a*x^2)/((b + a*x^2)*(a*x^4 + b*x^2)^(1/4)), x)","F"
1242,1,92,90,0.943290,"\text{Not used}","int((x^5 + 1)^(2/3)/x^6,x)","\frac{2\,\ln\left(\frac{4\,{\left(x^5+1\right)}^{1/3}}{25}-\frac{4}{25}\right)}{15}+\ln\left(\frac{4\,{\left(x^5+1\right)}^{1/3}}{25}-9\,{\left(-\frac{1}{15}+\frac{\sqrt{3}\,1{}\mathrm{i}}{15}\right)}^2\right)\,\left(-\frac{1}{15}+\frac{\sqrt{3}\,1{}\mathrm{i}}{15}\right)-\ln\left(\frac{4\,{\left(x^5+1\right)}^{1/3}}{25}-9\,{\left(\frac{1}{15}+\frac{\sqrt{3}\,1{}\mathrm{i}}{15}\right)}^2\right)\,\left(\frac{1}{15}+\frac{\sqrt{3}\,1{}\mathrm{i}}{15}\right)-\frac{{\left(x^5+1\right)}^{2/3}}{5\,x^5}","Not used",1,"(2*log((4*(x^5 + 1)^(1/3))/25 - 4/25))/15 + log((4*(x^5 + 1)^(1/3))/25 - 9*((3^(1/2)*1i)/15 - 1/15)^2)*((3^(1/2)*1i)/15 - 1/15) - log((4*(x^5 + 1)^(1/3))/25 - 9*((3^(1/2)*1i)/15 + 1/15)^2)*((3^(1/2)*1i)/15 + 1/15) - (x^5 + 1)^(2/3)/(5*x^5)","B"
1243,0,-1,90,0.000000,"\text{Not used}","int(((x^5 + 1)^(2/3)*(2*x^5 - 3))/(x^3*(x^5 - x^3 + 1)),x)","\int \frac{{\left(x^5+1\right)}^{2/3}\,\left(2\,x^5-3\right)}{x^3\,\left(x^5-x^3+1\right)} \,d x","Not used",1,"int(((x^5 + 1)^(2/3)*(2*x^5 - 3))/(x^3*(x^5 - x^3 + 1)), x)","F"
1244,0,-1,90,0.000000,"\text{Not used}","int(-((x^5 - 1)^(2/3)*(2*x^5 + 3))/(x^3*(x^3 - x^5 + 1)),x)","\int -\frac{{\left(x^5-1\right)}^{2/3}\,\left(2\,x^5+3\right)}{x^3\,\left(-x^5+x^3+1\right)} \,d x","Not used",1,"int(-((x^5 - 1)^(2/3)*(2*x^5 + 3))/(x^3*(x^3 - x^5 + 1)), x)","F"
1245,1,54,90,0.910403,"\text{Not used}","int((x^6 - 1)^(1/4)/x,x)","\frac{2\,{\left(x^6-1\right)}^{1/4}}{3}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,{\left(x^6-1\right)}^{1/4}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{1}{6}-\frac{1}{6}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,{\left(x^6-1\right)}^{1/4}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{1}{6}+\frac{1}{6}{}\mathrm{i}\right)","Not used",1,"(2*(x^6 - 1)^(1/4))/3 - 2^(1/2)*atan(2^(1/2)*(x^6 - 1)^(1/4)*(1/2 + 1i/2))*(1/6 - 1i/6) - 2^(1/2)*atan(2^(1/2)*(x^6 - 1)^(1/4)*(1/2 - 1i/2))*(1/6 + 1i/6)","B"
1246,1,92,90,0.940591,"\text{Not used}","int(1/(x^7*(x^6 + 1)^(1/3)),x)","-\frac{\ln\left(\frac{{\left(x^6+1\right)}^{1/3}}{36}-\frac{1}{36}\right)}{18}-\ln\left(\frac{{\left(x^6+1\right)}^{1/3}}{36}-9\,{\left(-\frac{1}{36}+\frac{\sqrt{3}\,1{}\mathrm{i}}{36}\right)}^2\right)\,\left(-\frac{1}{36}+\frac{\sqrt{3}\,1{}\mathrm{i}}{36}\right)+\ln\left(\frac{{\left(x^6+1\right)}^{1/3}}{36}-9\,{\left(\frac{1}{36}+\frac{\sqrt{3}\,1{}\mathrm{i}}{36}\right)}^2\right)\,\left(\frac{1}{36}+\frac{\sqrt{3}\,1{}\mathrm{i}}{36}\right)-\frac{{\left(x^6+1\right)}^{2/3}}{6\,x^6}","Not used",1,"log((x^6 + 1)^(1/3)/36 - 9*((3^(1/2)*1i)/36 + 1/36)^2)*((3^(1/2)*1i)/36 + 1/36) - log((x^6 + 1)^(1/3)/36 - 9*((3^(1/2)*1i)/36 - 1/36)^2)*((3^(1/2)*1i)/36 - 1/36) - log((x^6 + 1)^(1/3)/36 - 1/36)/18 - (x^6 + 1)^(2/3)/(6*x^6)","B"
1247,1,92,90,0.901182,"\text{Not used}","int((x^6 + 1)^(2/3)/x^7,x)","\frac{\ln\left(\frac{{\left(x^6+1\right)}^{1/3}}{9}-\frac{1}{9}\right)}{9}+\ln\left(\frac{{\left(x^6+1\right)}^{1/3}}{9}-9\,{\left(-\frac{1}{18}+\frac{\sqrt{3}\,1{}\mathrm{i}}{18}\right)}^2\right)\,\left(-\frac{1}{18}+\frac{\sqrt{3}\,1{}\mathrm{i}}{18}\right)-\ln\left(\frac{{\left(x^6+1\right)}^{1/3}}{9}-9\,{\left(\frac{1}{18}+\frac{\sqrt{3}\,1{}\mathrm{i}}{18}\right)}^2\right)\,\left(\frac{1}{18}+\frac{\sqrt{3}\,1{}\mathrm{i}}{18}\right)-\frac{{\left(x^6+1\right)}^{2/3}}{6\,x^6}","Not used",1,"log((x^6 + 1)^(1/3)/9 - 1/9)/9 + log((x^6 + 1)^(1/3)/9 - 9*((3^(1/2)*1i)/18 - 1/18)^2)*((3^(1/2)*1i)/18 - 1/18) - log((x^6 + 1)^(1/3)/9 - 9*((3^(1/2)*1i)/18 + 1/18)^2)*((3^(1/2)*1i)/18 + 1/18) - (x^6 + 1)^(2/3)/(6*x^6)","B"
1248,0,-1,90,0.000000,"\text{Not used}","int(-(x*(k^2 - 3) + 2*k^2*x^3)/(((x^2 - 1)*(k^2*x^2 - 1))^(1/4)*(x^2*(d*k^2 - 3) - d + 3*x^4 - x^6 + 1)),x)","-\int \frac{x\,\left(k^2-3\right)+2\,k^2\,x^3}{{\left(\left(x^2-1\right)\,\left(k^2\,x^2-1\right)\right)}^{1/4}\,\left(-x^6+3\,x^4+\left(d\,k^2-3\right)\,x^2-d+1\right)} \,d x","Not used",1,"-int((x*(k^2 - 3) + 2*k^2*x^3)/(((x^2 - 1)*(k^2*x^2 - 1))^(1/4)*(x^2*(d*k^2 - 3) - d + 3*x^4 - x^6 + 1)), x)","F"
1249,0,-1,90,0.000000,"\text{Not used}","int(((x^7 - 1)^(2/3)*(4*x^7 + 3))/(x^3*(x^3 + x^7 - 1)),x)","\int \frac{{\left(x^7-1\right)}^{2/3}\,\left(4\,x^7+3\right)}{x^3\,\left(x^7+x^3-1\right)} \,d x","Not used",1,"int(((x^7 - 1)^(2/3)*(4*x^7 + 3))/(x^3*(x^3 + x^7 - 1)), x)","F"
1250,0,-1,90,0.000000,"\text{Not used}","int(x/((a^2*x^2 - b*x)^(1/2)*(a*x^2 + x*(a^2*x^2 - b*x)^(1/2))^(3/2)),x)","\int \frac{x}{\sqrt{a^2\,x^2-b\,x}\,{\left(a\,x^2+x\,\sqrt{a^2\,x^2-b\,x}\right)}^{3/2}} \,d x","Not used",1,"int(x/((a^2*x^2 - b*x)^(1/2)*(a*x^2 + x*(a^2*x^2 - b*x)^(1/2))^(3/2)), x)","F"
1251,0,-1,91,0.000000,"\text{Not used}","int((x - (a*b)^(1/2))/((x + (a*b)^(1/2))*(x*(a + x)*(b + x))^(1/2)),x)","\int \frac{x-\sqrt{a\,b}}{\left(x+\sqrt{a\,b}\right)\,\sqrt{x\,\left(a+x\right)\,\left(b+x\right)}} \,d x","Not used",1,"int((x - (a*b)^(1/2))/((x + (a*b)^(1/2))*(x*(a + x)*(b + x))^(1/2)), x)","F"
1252,1,27,91,0.975404,"\text{Not used}","int(1/(x^3 - x^2)^(1/3),x)","\frac{3\,x\,{\left(1-x\right)}^{1/3}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{3},\frac{1}{3};\ \frac{4}{3};\ x\right)}{{\left(x^3-x^2\right)}^{1/3}}","Not used",1,"(3*x*(1 - x)^(1/3)*hypergeom([1/3, 1/3], 4/3, x))/(x^3 - x^2)^(1/3)","B"
1253,0,-1,91,0.000000,"\text{Not used}","int((x^2 - 3)/((x^2 - 1)*(x^4 - 6*x^2 + 1)^(1/4)),x)","\int \frac{x^2-3}{\left(x^2-1\right)\,{\left(x^4-6\,x^2+1\right)}^{1/4}} \,d x","Not used",1,"int((x^2 - 3)/((x^2 - 1)*(x^4 - 6*x^2 + 1)^(1/4)), x)","F"
1254,0,-1,91,0.000000,"\text{Not used}","int((x^4 - 3)/((x^4 + 1)*(4*x^4 - 3*x - 3*x^5)^(1/4)),x)","\int \frac{x^4-3}{\left(x^4+1\right)\,{\left(-3\,x^5+4\,x^4-3\,x\right)}^{1/4}} \,d x","Not used",1,"int((x^4 - 3)/((x^4 + 1)*(4*x^4 - 3*x - 3*x^5)^(1/4)), x)","F"
1255,0,-1,91,0.000000,"\text{Not used}","int(((x^6 - 1)^(1/3)*(x^6 + 1))/(x^2*(x^3 + x^6 - 1)),x)","\int \frac{{\left(x^6-1\right)}^{1/3}\,\left(x^6+1\right)}{x^2\,\left(x^6+x^3-1\right)} \,d x","Not used",1,"int(((x^6 - 1)^(1/3)*(x^6 + 1))/(x^2*(x^3 + x^6 - 1)), x)","F"
1256,0,-1,91,0.000000,"\text{Not used}","int(((x^4 - 1)*(x^4 + 1)^(1/2))/(x^2 + 3*x^4 + x^6 + x^8 + 1),x)","\int \frac{\left(x^4-1\right)\,\sqrt{x^4+1}}{x^8+x^6+3\,x^4+x^2+1} \,d x","Not used",1,"int(((x^4 - 1)*(x^4 + 1)^(1/2))/(x^2 + 3*x^4 + x^6 + x^8 + 1), x)","F"
1257,0,-1,91,0.000000,"\text{Not used}","int((2*x^8 - 1)/((x^4 + 1)^(1/4)*(x^8 - 1)),x)","\int \frac{2\,x^8-1}{{\left(x^4+1\right)}^{1/4}\,\left(x^8-1\right)} \,d x","Not used",1,"int((2*x^8 - 1)/((x^4 + 1)^(1/4)*(x^8 - 1)), x)","F"
1258,1,42,91,0.927101,"\text{Not used}","int((a*x^8 + b*x^5)^(1/4),x)","\frac{4\,x\,{\left(a\,x^8+b\,x^5\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{4},\frac{3}{4};\ \frac{7}{4};\ -\frac{a\,x^3}{b}\right)}{9\,{\left(\frac{a\,x^3}{b}+1\right)}^{1/4}}","Not used",1,"(4*x*(a*x^8 + b*x^5)^(1/4)*hypergeom([-1/4, 3/4], 7/4, -(a*x^3)/b))/(9*((a*x^3)/b + 1)^(1/4))","B"
1259,0,-1,91,0.000000,"\text{Not used}","int(-(x - (x^2 + 1)^(1/2))^(1/2)/((x^2 + 1)^(1/2) - 1),x)","-\int \frac{\sqrt{x-\sqrt{x^2+1}}}{\sqrt{x^2+1}-1} \,d x","Not used",1,"-int((x - (x^2 + 1)^(1/2))^(1/2)/((x^2 + 1)^(1/2) - 1), x)","F"
1260,0,-1,92,0.000000,"\text{Not used}","int(((x - 1)*(x + 3))/((x^2 - 1)^(2/3)*(x^2 - x + 2)),x)","\int \frac{\left(x-1\right)\,\left(x+3\right)}{{\left(x^2-1\right)}^{2/3}\,\left(x^2-x+2\right)} \,d x","Not used",1,"int(((x - 1)*(x + 3))/((x^2 - 1)^(2/3)*(x^2 - x + 2)), x)","F"
1261,1,80,92,0.891810,"\text{Not used}","int((x^3 - 1)^(1/3)/x^4,x)","\frac{\ln\left(\frac{{\left(x^3-1\right)}^{1/3}}{9}+\frac{1}{9}\right)}{9}+\ln\left({\left(x^3-1\right)}^{1/3}-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(-\frac{1}{18}+\frac{\sqrt{3}\,1{}\mathrm{i}}{18}\right)-\frac{{\left(x^3-1\right)}^{1/3}}{3\,x^3}-\ln\left(\frac{1}{2}-{\left(x^3-1\right)}^{1/3}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{18}+\frac{\sqrt{3}\,1{}\mathrm{i}}{18}\right)","Not used",1,"log((x^3 - 1)^(1/3)/9 + 1/9)/9 + log((3^(1/2)*1i)/2 + (x^3 - 1)^(1/3) - 1/2)*((3^(1/2)*1i)/18 - 1/18) - (x^3 - 1)^(1/3)/(3*x^3) - log((3^(1/2)*1i)/2 - (x^3 - 1)^(1/3) + 1/2)*((3^(1/2)*1i)/18 + 1/18)","B"
1262,1,92,92,0.888166,"\text{Not used}","int((x^3 - 1)^(2/3)/x^4,x)","-\frac{2\,\ln\left(\frac{4\,{\left(x^3-1\right)}^{1/3}}{9}+\frac{4}{9}\right)}{9}-\ln\left(9\,{\left(-\frac{1}{9}+\frac{\sqrt{3}\,1{}\mathrm{i}}{9}\right)}^2+\frac{4\,{\left(x^3-1\right)}^{1/3}}{9}\right)\,\left(-\frac{1}{9}+\frac{\sqrt{3}\,1{}\mathrm{i}}{9}\right)+\ln\left(9\,{\left(\frac{1}{9}+\frac{\sqrt{3}\,1{}\mathrm{i}}{9}\right)}^2+\frac{4\,{\left(x^3-1\right)}^{1/3}}{9}\right)\,\left(\frac{1}{9}+\frac{\sqrt{3}\,1{}\mathrm{i}}{9}\right)-\frac{{\left(x^3-1\right)}^{2/3}}{3\,x^3}","Not used",1,"log(9*((3^(1/2)*1i)/9 + 1/9)^2 + (4*(x^3 - 1)^(1/3))/9)*((3^(1/2)*1i)/9 + 1/9) - log(9*((3^(1/2)*1i)/9 - 1/9)^2 + (4*(x^3 - 1)^(1/3))/9)*((3^(1/2)*1i)/9 - 1/9) - (2*log((4*(x^3 - 1)^(1/3))/9 + 4/9))/9 - (x^3 - 1)^(2/3)/(3*x^3)","B"
1263,1,15,92,0.896662,"\text{Not used}","int((x^3 + 1)^(1/3)/x^2,x)","-\frac{{{}}_2{\mathrm{F}}_1\left(-\frac{1}{3},-\frac{1}{3};\ \frac{2}{3};\ -x^3\right)}{x}","Not used",1,"-hypergeom([-1/3, -1/3], 2/3, -x^3)/x","B"
1264,0,-1,92,0.000000,"\text{Not used}","int((x - 1)/((x^3 + 2)^(1/3)*(x + 1)),x)","\int \frac{x-1}{{\left(x^3+2\right)}^{1/3}\,\left(x+1\right)} \,d x","Not used",1,"int((x - 1)/((x^3 + 2)^(1/3)*(x + 1)), x)","F"
1265,1,82,92,1.092671,"\text{Not used}","int(1/(x^7*(b + a*x^3)^(3/4)),x)","\frac{7\,{\left(a\,x^3+b\right)}^{5/4}}{24\,b^2\,x^6}-\frac{11\,{\left(a\,x^3+b\right)}^{1/4}}{24\,b\,x^6}-\frac{7\,a^2\,\mathrm{atan}\left(\frac{{\left(a\,x^3+b\right)}^{1/4}}{b^{1/4}}\right)}{16\,b^{11/4}}+\frac{a^2\,\mathrm{atan}\left(\frac{{\left(a\,x^3+b\right)}^{1/4}\,1{}\mathrm{i}}{b^{1/4}}\right)\,7{}\mathrm{i}}{16\,b^{11/4}}","Not used",1,"(a^2*atan(((b + a*x^3)^(1/4)*1i)/b^(1/4))*7i)/(16*b^(11/4)) - (7*a^2*atan((b + a*x^3)^(1/4)/b^(1/4)))/(16*b^(11/4)) - (11*(b + a*x^3)^(1/4))/(24*b*x^6) + (7*(b + a*x^3)^(5/4))/(24*b^2*x^6)","B"
1266,0,-1,92,0.000000,"\text{Not used}","int(((2*x + x^2 + 1)*(x*(k - 1)*(k + 1) - 2*k^2*x^2 + 2))/(((x^2 - 1)*(k^2*x^2 - 1))^(3/4)*(d + x^3*(d - k^2) + x^2*(3*d + k^2) + x*(3*d + 1) - 1)),x)","\int \frac{\left(x^2+2\,x+1\right)\,\left(x\,\left(k-1\right)\,\left(k+1\right)-2\,k^2\,x^2+2\right)}{{\left(\left(x^2-1\right)\,\left(k^2\,x^2-1\right)\right)}^{3/4}\,\left(\left(d-k^2\right)\,x^3+\left(k^2+3\,d\right)\,x^2+\left(3\,d+1\right)\,x+d-1\right)} \,d x","Not used",1,"int(((2*x + x^2 + 1)*(x*(k - 1)*(k + 1) - 2*k^2*x^2 + 2))/(((x^2 - 1)*(k^2*x^2 - 1))^(3/4)*(d + x^3*(d - k^2) + x^2*(3*d + k^2) + x*(3*d + 1) - 1)), x)","F"
1267,1,92,92,0.943487,"\text{Not used}","int(1/(x^5*(x^4 - 1)^(1/3)),x)","\frac{{\left(x^4-1\right)}^{2/3}}{4\,x^4}-\ln\left(9\,{\left(-\frac{1}{24}+\frac{\sqrt{3}\,1{}\mathrm{i}}{24}\right)}^2+\frac{{\left(x^4-1\right)}^{1/3}}{16}\right)\,\left(-\frac{1}{24}+\frac{\sqrt{3}\,1{}\mathrm{i}}{24}\right)+\ln\left(9\,{\left(\frac{1}{24}+\frac{\sqrt{3}\,1{}\mathrm{i}}{24}\right)}^2+\frac{{\left(x^4-1\right)}^{1/3}}{16}\right)\,\left(\frac{1}{24}+\frac{\sqrt{3}\,1{}\mathrm{i}}{24}\right)-\frac{\ln\left(\frac{{\left(x^4-1\right)}^{1/3}}{16}+\frac{1}{16}\right)}{12}","Not used",1,"log(9*((3^(1/2)*1i)/24 + 1/24)^2 + (x^4 - 1)^(1/3)/16)*((3^(1/2)*1i)/24 + 1/24) - log(9*((3^(1/2)*1i)/24 - 1/24)^2 + (x^4 - 1)^(1/3)/16)*((3^(1/2)*1i)/24 - 1/24) - log((x^4 - 1)^(1/3)/16 + 1/16)/12 + (x^4 - 1)^(2/3)/(4*x^4)","B"
1268,1,705,92,1.380440,"\text{Not used}","int((x*(b - x)*(a*b - 2*a*x + x^2))/((x*(a - x)*(b - x))^(1/2)*(x^2*(d - b^2) + a^2*d + 2*b*x^3 - x^4 - 2*a*d*x)),x)","\left(\sum _{k=1}^4\left(-\frac{2\,b\,\sqrt{\frac{x}{b}}\,\sqrt{\frac{b-x}{b}}\,\sqrt{\frac{a-x}{a-b}}\,\Pi \left(-\frac{b}{\mathrm{root}\left(z^4-2\,b\,z^3-z^2\,\left(d-b^2\right)+2\,a\,d\,z-a^2\,d,z,k\right)-b};\mathrm{asin}\left(\sqrt{\frac{b-x}{b}}\right)\middle|-\frac{b}{a-b}\right)\,\left(-d\,a^2+a\,b^2\,\mathrm{root}\left(z^4-2\,b\,z^3-z^2\,\left(d-b^2\right)+2\,a\,d\,z-a^2\,d,z,k\right)-3\,a\,b\,{\mathrm{root}\left(z^4-2\,b\,z^3-z^2\,\left(d-b^2\right)+2\,a\,d\,z-a^2\,d,z,k\right)}^2+2\,a\,{\mathrm{root}\left(z^4-2\,b\,z^3-z^2\,\left(d-b^2\right)+2\,a\,d\,z-a^2\,d,z,k\right)}^3+2\,d\,a\,\mathrm{root}\left(z^4-2\,b\,z^3-z^2\,\left(d-b^2\right)+2\,a\,d\,z-a^2\,d,z,k\right)+b^2\,{\mathrm{root}\left(z^4-2\,b\,z^3-z^2\,\left(d-b^2\right)+2\,a\,d\,z-a^2\,d,z,k\right)}^2-b\,{\mathrm{root}\left(z^4-2\,b\,z^3-z^2\,\left(d-b^2\right)+2\,a\,d\,z-a^2\,d,z,k\right)}^3-d\,{\mathrm{root}\left(z^4-2\,b\,z^3-z^2\,\left(d-b^2\right)+2\,a\,d\,z-a^2\,d,z,k\right)}^2\right)}{\left(\mathrm{root}\left(z^4-2\,b\,z^3-z^2\,\left(d-b^2\right)+2\,a\,d\,z-a^2\,d,z,k\right)-b\right)\,\sqrt{x\,\left(a-x\right)\,\left(b-x\right)}\,\left(2\,b^2\,\mathrm{root}\left(z^4-2\,b\,z^3-z^2\,\left(d-b^2\right)+2\,a\,d\,z-a^2\,d,z,k\right)-6\,b\,{\mathrm{root}\left(z^4-2\,b\,z^3-z^2\,\left(d-b^2\right)+2\,a\,d\,z-a^2\,d,z,k\right)}^2+4\,{\mathrm{root}\left(z^4-2\,b\,z^3-z^2\,\left(d-b^2\right)+2\,a\,d\,z-a^2\,d,z,k\right)}^3-2\,d\,\mathrm{root}\left(z^4-2\,b\,z^3-z^2\,\left(d-b^2\right)+2\,a\,d\,z-a^2\,d,z,k\right)+2\,a\,d\right)}\right)\right)-\frac{2\,b\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{b-x}{b}}\right)\middle|-\frac{b}{a-b}\right)\,\sqrt{\frac{x}{b}}\,\sqrt{\frac{b-x}{b}}\,\sqrt{\frac{a-x}{a-b}}}{\sqrt{x^3+\left(-a-b\right)\,x^2+a\,b\,x}}","Not used",1,"symsum(-(2*b*(x/b)^(1/2)*((b - x)/b)^(1/2)*((a - x)/(a - b))^(1/2)*ellipticPi(-b/(root(z^4 - 2*b*z^3 - z^2*(d - b^2) + 2*a*d*z - a^2*d, z, k) - b), asin(((b - x)/b)^(1/2)), -b/(a - b))*(2*a*root(z^4 - 2*b*z^3 - z^2*(d - b^2) + 2*a*d*z - a^2*d, z, k)^3 - b*root(z^4 - 2*b*z^3 - z^2*(d - b^2) + 2*a*d*z - a^2*d, z, k)^3 - d*root(z^4 - 2*b*z^3 - z^2*(d - b^2) + 2*a*d*z - a^2*d, z, k)^2 - a^2*d + b^2*root(z^4 - 2*b*z^3 - z^2*(d - b^2) + 2*a*d*z - a^2*d, z, k)^2 + 2*a*d*root(z^4 - 2*b*z^3 - z^2*(d - b^2) + 2*a*d*z - a^2*d, z, k) - 3*a*b*root(z^4 - 2*b*z^3 - z^2*(d - b^2) + 2*a*d*z - a^2*d, z, k)^2 + a*b^2*root(z^4 - 2*b*z^3 - z^2*(d - b^2) + 2*a*d*z - a^2*d, z, k)))/((root(z^4 - 2*b*z^3 - z^2*(d - b^2) + 2*a*d*z - a^2*d, z, k) - b)*(x*(a - x)*(b - x))^(1/2)*(2*a*d - 2*d*root(z^4 - 2*b*z^3 - z^2*(d - b^2) + 2*a*d*z - a^2*d, z, k) - 6*b*root(z^4 - 2*b*z^3 - z^2*(d - b^2) + 2*a*d*z - a^2*d, z, k)^2 + 2*b^2*root(z^4 - 2*b*z^3 - z^2*(d - b^2) + 2*a*d*z - a^2*d, z, k) + 4*root(z^4 - 2*b*z^3 - z^2*(d - b^2) + 2*a*d*z - a^2*d, z, k)^3)), k, 1, 4) - (2*b*ellipticF(asin(((b - x)/b)^(1/2)), -b/(a - b))*(x/b)^(1/2)*((b - x)/b)^(1/2)*((a - x)/(a - b))^(1/2))/(x^3 - x^2*(a + b) + a*b*x)^(1/2)","B"
1269,1,82,92,1.194671,"\text{Not used}","int(1/(x^9*(b + a*x^4)^(3/4)),x)","\frac{7\,{\left(a\,x^4+b\right)}^{5/4}}{32\,b^2\,x^8}-\frac{11\,{\left(a\,x^4+b\right)}^{1/4}}{32\,b\,x^8}-\frac{21\,a^2\,\mathrm{atan}\left(\frac{{\left(a\,x^4+b\right)}^{1/4}}{b^{1/4}}\right)}{64\,b^{11/4}}+\frac{a^2\,\mathrm{atan}\left(\frac{{\left(a\,x^4+b\right)}^{1/4}\,1{}\mathrm{i}}{b^{1/4}}\right)\,21{}\mathrm{i}}{64\,b^{11/4}}","Not used",1,"(a^2*atan(((b + a*x^4)^(1/4)*1i)/b^(1/4))*21i)/(64*b^(11/4)) - (21*a^2*atan((b + a*x^4)^(1/4)/b^(1/4)))/(64*b^(11/4)) - (11*(b + a*x^4)^(1/4))/(32*b*x^8) + (7*(b + a*x^4)^(5/4))/(32*b^2*x^8)","B"
1270,0,-1,92,0.000000,"\text{Not used}","int(x^4*(b + a*x^4)^(3/4),x)","\int x^4\,{\left(a\,x^4+b\right)}^{3/4} \,d x","Not used",1,"int(x^4*(b + a*x^4)^(3/4), x)","F"
1271,0,-1,92,0.000000,"\text{Not used}","int((a*x^4 - b*x^3)^(1/4)/(x*(d + c*x + x^2)),x)","\int \frac{{\left(a\,x^4-b\,x^3\right)}^{1/4}}{x\,\left(x^2+c\,x+d\right)} \,d x","Not used",1,"int((a*x^4 - b*x^3)^(1/4)/(x*(d + c*x + x^2)), x)","F"
1272,0,-1,92,0.000000,"\text{Not used}","int((a*x^4 - b*x^3)^(1/4)/(x*(d + c*x + x^2)),x)","\int \frac{{\left(a\,x^4-b\,x^3\right)}^{1/4}}{x\,\left(x^2+c\,x+d\right)} \,d x","Not used",1,"int((a*x^4 - b*x^3)^(1/4)/(x*(d + c*x + x^2)), x)","F"
1273,1,92,92,0.940998,"\text{Not used}","int((x^5 - 1)^(2/3)/x^6,x)","-\frac{2\,\ln\left(\frac{4\,{\left(x^5-1\right)}^{1/3}}{25}+\frac{4}{25}\right)}{15}-\ln\left(9\,{\left(-\frac{1}{15}+\frac{\sqrt{3}\,1{}\mathrm{i}}{15}\right)}^2+\frac{4\,{\left(x^5-1\right)}^{1/3}}{25}\right)\,\left(-\frac{1}{15}+\frac{\sqrt{3}\,1{}\mathrm{i}}{15}\right)+\ln\left(9\,{\left(\frac{1}{15}+\frac{\sqrt{3}\,1{}\mathrm{i}}{15}\right)}^2+\frac{4\,{\left(x^5-1\right)}^{1/3}}{25}\right)\,\left(\frac{1}{15}+\frac{\sqrt{3}\,1{}\mathrm{i}}{15}\right)-\frac{{\left(x^5-1\right)}^{2/3}}{5\,x^5}","Not used",1,"log(9*((3^(1/2)*1i)/15 + 1/15)^2 + (4*(x^5 - 1)^(1/3))/25)*((3^(1/2)*1i)/15 + 1/15) - log(9*((3^(1/2)*1i)/15 - 1/15)^2 + (4*(x^5 - 1)^(1/3))/25)*((3^(1/2)*1i)/15 - 1/15) - (2*log((4*(x^5 - 1)^(1/3))/25 + 4/25))/15 - (x^5 - 1)^(2/3)/(5*x^5)","B"
1274,1,82,92,1.183832,"\text{Not used}","int(1/(x^11*(b + a*x^5)^(3/4)),x)","\frac{7\,{\left(a\,x^5+b\right)}^{5/4}}{40\,b^2\,x^{10}}-\frac{11\,{\left(a\,x^5+b\right)}^{1/4}}{40\,b\,x^{10}}-\frac{21\,a^2\,\mathrm{atan}\left(\frac{{\left(a\,x^5+b\right)}^{1/4}}{b^{1/4}}\right)}{80\,b^{11/4}}+\frac{a^2\,\mathrm{atan}\left(\frac{{\left(a\,x^5+b\right)}^{1/4}\,1{}\mathrm{i}}{b^{1/4}}\right)\,21{}\mathrm{i}}{80\,b^{11/4}}","Not used",1,"(a^2*atan(((b + a*x^5)^(1/4)*1i)/b^(1/4))*21i)/(80*b^(11/4)) - (21*a^2*atan((b + a*x^5)^(1/4)/b^(1/4)))/(80*b^(11/4)) - (11*(b + a*x^5)^(1/4))/(40*b*x^10) + (7*(b + a*x^5)^(5/4))/(40*b^2*x^10)","B"
1275,1,92,92,0.913077,"\text{Not used}","int(1/(x^7*(x^6 - 1)^(1/3)),x)","\frac{{\left(x^6-1\right)}^{2/3}}{6\,x^6}-\ln\left(9\,{\left(-\frac{1}{36}+\frac{\sqrt{3}\,1{}\mathrm{i}}{36}\right)}^2+\frac{{\left(x^6-1\right)}^{1/3}}{36}\right)\,\left(-\frac{1}{36}+\frac{\sqrt{3}\,1{}\mathrm{i}}{36}\right)+\ln\left(9\,{\left(\frac{1}{36}+\frac{\sqrt{3}\,1{}\mathrm{i}}{36}\right)}^2+\frac{{\left(x^6-1\right)}^{1/3}}{36}\right)\,\left(\frac{1}{36}+\frac{\sqrt{3}\,1{}\mathrm{i}}{36}\right)-\frac{\ln\left(\frac{{\left(x^6-1\right)}^{1/3}}{36}+\frac{1}{36}\right)}{18}","Not used",1,"log(9*((3^(1/2)*1i)/36 + 1/36)^2 + (x^6 - 1)^(1/3)/36)*((3^(1/2)*1i)/36 + 1/36) - log(9*((3^(1/2)*1i)/36 - 1/36)^2 + (x^6 - 1)^(1/3)/36)*((3^(1/2)*1i)/36 - 1/36) - log((x^6 - 1)^(1/3)/36 + 1/36)/18 + (x^6 - 1)^(2/3)/(6*x^6)","B"
1276,1,92,92,0.904923,"\text{Not used}","int((x^6 - 1)^(2/3)/x^7,x)","-\frac{\ln\left(\frac{{\left(x^6-1\right)}^{1/3}}{9}+\frac{1}{9}\right)}{9}-\ln\left(9\,{\left(-\frac{1}{18}+\frac{\sqrt{3}\,1{}\mathrm{i}}{18}\right)}^2+\frac{{\left(x^6-1\right)}^{1/3}}{9}\right)\,\left(-\frac{1}{18}+\frac{\sqrt{3}\,1{}\mathrm{i}}{18}\right)+\ln\left(9\,{\left(\frac{1}{18}+\frac{\sqrt{3}\,1{}\mathrm{i}}{18}\right)}^2+\frac{{\left(x^6-1\right)}^{1/3}}{9}\right)\,\left(\frac{1}{18}+\frac{\sqrt{3}\,1{}\mathrm{i}}{18}\right)-\frac{{\left(x^6-1\right)}^{2/3}}{6\,x^6}","Not used",1,"log(9*((3^(1/2)*1i)/18 + 1/18)^2 + (x^6 - 1)^(1/3)/9)*((3^(1/2)*1i)/18 + 1/18) - log(9*((3^(1/2)*1i)/18 - 1/18)^2 + (x^6 - 1)^(1/3)/9)*((3^(1/2)*1i)/18 - 1/18) - log((x^6 - 1)^(1/3)/9 + 1/9)/9 - (x^6 - 1)^(2/3)/(6*x^6)","B"
1277,0,-1,92,0.000000,"\text{Not used}","int(((x^4 + 2*x^6 - 1)*(x + x^5 + x^7)^(1/3))/((x^4 + x^6 + 1)*(x^4 - x^2 + x^6 + 1)),x)","\int \frac{\left(2\,x^6+x^4-1\right)\,{\left(x^7+x^5+x\right)}^{1/3}}{\left(x^6+x^4+1\right)\,\left(x^6+x^4-x^2+1\right)} \,d x","Not used",1,"int(((x^4 + 2*x^6 - 1)*(x + x^5 + x^7)^(1/3))/((x^4 + x^6 + 1)*(x^4 - x^2 + x^6 + 1)), x)","F"
1278,0,-1,92,0.000000,"\text{Not used}","int(((x + 1)^(1/2) + 1)^(1/2)/(x - (x + 1)^(1/2)),x)","\int \frac{\sqrt{\sqrt{x+1}+1}}{x-\sqrt{x+1}} \,d x","Not used",1,"int(((x + 1)^(1/2) + 1)^(1/2)/(x - (x + 1)^(1/2)), x)","F"
1279,1,57,93,0.946796,"\text{Not used}","int(1/(x^3*(x^2 - 1)^(3/4)),x)","\frac{{\left(x^2-1\right)}^{1/4}}{2\,x^2}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,{\left(x^2-1\right)}^{1/4}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{3}{8}+\frac{3}{8}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,{\left(x^2-1\right)}^{1/4}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{3}{8}-\frac{3}{8}{}\mathrm{i}\right)","Not used",1,"2^(1/2)*atan(2^(1/2)*(x^2 - 1)^(1/4)*(1/2 - 1i/2))*(3/8 + 3i/8) + 2^(1/2)*atan(2^(1/2)*(x^2 - 1)^(1/4)*(1/2 + 1i/2))*(3/8 - 3i/8) + (x^2 - 1)^(1/4)/(2*x^2)","B"
1280,0,-1,93,0.000000,"\text{Not used}","int((x^3 - 1)^(2/3)/x^3,x)","\int \frac{{\left(x^3-1\right)}^{2/3}}{x^3} \,d x","Not used",1,"int((x^3 - 1)^(2/3)/x^3, x)","F"
1281,1,509,93,0.198102,"\text{Not used}","int((x^2 + 2)/((x^3 + 1)^(1/2)*(2*x + x^2 - 2)),x)","\frac{2\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}+\frac{\left(2\,\sqrt{3}-6\right)\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{\sqrt{3}\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{3};\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{3\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}-\frac{\left(2\,\sqrt{3}+6\right)\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(-\frac{\sqrt{3}\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{3};\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{3\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(2*((3^(1/2)*1i)/2 + 3/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticF(asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2) + ((2*3^(1/2) - 6)*((3^(1/2)*1i)/2 + 3/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi((3^(1/2)*((3^(1/2)*1i)/2 + 3/2))/3, asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(3*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2)) - ((2*3^(1/2) + 6)*((3^(1/2)*1i)/2 + 3/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi(-(3^(1/2)*((3^(1/2)*1i)/2 + 3/2))/3, asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(3*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2))","B"
1282,0,-1,93,0.000000,"\text{Not used}","int((x^3 + 1)^(2/3)/x^3,x)","\int \frac{{\left(x^3+1\right)}^{2/3}}{x^3} \,d x","Not used",1,"int((x^3 + 1)^(2/3)/x^3, x)","F"
1283,0,-1,93,0.000000,"\text{Not used}","int(-(x^2*(3*a - b) - 2*a*b*x)/((x^2*(a - x)*(b - x))^(1/4)*(x^2*(3*a - b*d) - 3*a^2*x + a^3 + x^3*(d - 1))),x)","\int -\frac{x^2\,\left(3\,a-b\right)-2\,a\,b\,x}{{\left(x^2\,\left(a-x\right)\,\left(b-x\right)\right)}^{1/4}\,\left(x^2\,\left(3\,a-b\,d\right)-3\,a^2\,x+a^3+x^3\,\left(d-1\right)\right)} \,d x","Not used",1,"int(-(x^2*(3*a - b) - 2*a*b*x)/((x^2*(a - x)*(b - x))^(1/4)*(x^2*(3*a - b*d) - 3*a^2*x + a^3 + x^3*(d - 1))), x)","F"
1284,1,57,93,0.969634,"\text{Not used}","int((x^4 - 1)^(1/4)/x^5,x)","-\frac{{\left(x^4-1\right)}^{1/4}}{4\,x^4}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,{\left(x^4-1\right)}^{1/4}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{16}+\frac{1}{16}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,{\left(x^4-1\right)}^{1/4}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{16}-\frac{1}{16}{}\mathrm{i}\right)","Not used",1,"2^(1/2)*atan(2^(1/2)*(x^4 - 1)^(1/4)*(1/2 - 1i/2))*(1/16 + 1i/16) + 2^(1/2)*atan(2^(1/2)*(x^4 - 1)^(1/4)*(1/2 + 1i/2))*(1/16 - 1i/16) - (x^4 - 1)^(1/4)/(4*x^4)","B"
1285,0,-1,93,0.000000,"\text{Not used}","int((x^2 + 1)/((x^4 - x^2)^(1/3)*(x + x^2 - 1)),x)","\int \frac{x^2+1}{{\left(x^4-x^2\right)}^{1/3}\,\left(x^2+x-1\right)} \,d x","Not used",1,"int((x^2 + 1)/((x^4 - x^2)^(1/3)*(x + x^2 - 1)), x)","F"
1286,0,-1,93,0.000000,"\text{Not used}","int(((2*x - 1)*(x^2 - x + 2)*(x^2 - 2*x^3 + x^4 - 2)^(1/2))/(2*x^2 - 2*x + 3),x)","\int \frac{\left(2\,x-1\right)\,\left(x^2-x+2\right)\,\sqrt{x^4-2\,x^3+x^2-2}}{2\,x^2-2\,x+3} \,d x","Not used",1,"int(((2*x - 1)*(x^2 - x + 2)*(x^2 - 2*x^3 + x^4 - 2)^(1/2))/(2*x^2 - 2*x + 3), x)","F"
1287,0,-1,93,0.000000,"\text{Not used}","int((x^4 - x^3)^(1/4)/(x*(x + 1)),x)","\int \frac{{\left(x^4-x^3\right)}^{1/4}}{x\,\left(x+1\right)} \,d x","Not used",1,"int((x^4 - x^3)^(1/4)/(x*(x + 1)), x)","F"
1288,0,-1,93,0.000000,"\text{Not used}","int((2*x^3 + 1)/((x^5 - x^2)^(1/3)*(x + x^3 - 1)),x)","\int \frac{2\,x^3+1}{{\left(x^5-x^2\right)}^{1/3}\,\left(x^3+x-1\right)} \,d x","Not used",1,"int((2*x^3 + 1)/((x^5 - x^2)^(1/3)*(x + x^3 - 1)), x)","F"
1289,1,57,93,0.981509,"\text{Not used}","int((x^6 - 1)^(1/4)/x^7,x)","-\frac{{\left(x^6-1\right)}^{1/4}}{6\,x^6}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,{\left(x^6-1\right)}^{1/4}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{24}+\frac{1}{24}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,{\left(x^6-1\right)}^{1/4}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{24}-\frac{1}{24}{}\mathrm{i}\right)","Not used",1,"2^(1/2)*atan(2^(1/2)*(x^6 - 1)^(1/4)*(1/2 - 1i/2))*(1/24 + 1i/24) + 2^(1/2)*atan(2^(1/2)*(x^6 - 1)^(1/4)*(1/2 + 1i/2))*(1/24 - 1i/24) - (x^6 - 1)^(1/4)/(6*x^6)","B"
1290,0,-1,93,0.000000,"\text{Not used}","int((3*x^4 + 1)/((x^6 - x^2)^(1/3)*(x + x^4 - 1)),x)","\int \frac{3\,x^4+1}{{\left(x^6-x^2\right)}^{1/3}\,\left(x^4+x-1\right)} \,d x","Not used",1,"int((3*x^4 + 1)/((x^6 - x^2)^(1/3)*(x + x^4 - 1)), x)","F"
1291,1,2803,93,3.196243,"\text{Not used}","int(-((x^3 + 2)*(x^3 - x^2 - 1)^(1/2))/(x^2 + 2*x^3 + x^4 - x^5 - x^6 - 1),x)","\left(\sum _{k=1}^6\left(-\frac{2\,\sqrt{\frac{x+\frac{1}{18\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}+\frac{{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}{2}-\frac{1}{3}-\frac{\sqrt{3}\,\left(\frac{1}{9\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}-{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}}{\frac{1}{6\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}+\frac{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}{2}-\frac{\sqrt{3}\,\left(\frac{1}{9\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}-{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{9\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}-x+{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}+\frac{1}{3}}{\frac{1}{6\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}+\frac{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}{2}-\frac{\sqrt{3}\,\left(\frac{1}{9\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}-{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{\frac{1}{6\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}+\frac{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}{2}-\frac{\sqrt{3}\,\left(\frac{1}{9\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}-{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}}{\mathrm{root}\left(z^6+z^5-z^4-2\,z^3-z^2+1,z,k\right)+\frac{1}{18\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}+\frac{{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}{2}-\frac{1}{3}-\frac{\sqrt{3}\,\left(\frac{1}{9\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}-{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}};\mathrm{asin}\left(\sqrt{\frac{x+\frac{1}{18\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}+\frac{{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}{2}-\frac{1}{3}-\frac{\sqrt{3}\,\left(\frac{1}{9\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}-{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}}{\frac{1}{6\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}+\frac{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}{2}-\frac{\sqrt{3}\,\left(\frac{1}{9\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}-{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}}}\right)\middle|\frac{\sqrt{3}\,\left(\frac{1}{6\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}+\frac{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}{2}-\frac{\sqrt{3}\,\left(\frac{1}{9\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}-{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)\,1{}\mathrm{i}}{3\,\left(\frac{1}{9\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}-{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}\right)}\right)\,\left(\frac{1}{6\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}+\frac{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}{2}-\frac{\sqrt{3}\,\left(\frac{1}{9\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}-{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)\,\sqrt{-\frac{\sqrt{3}\,\left(x+\frac{1}{18\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}+\frac{{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}{2}-\frac{1}{3}+\frac{\sqrt{3}\,\left(\frac{1}{9\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}-{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)\,1{}\mathrm{i}}{3\,\left(\frac{1}{9\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}-{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}\right)}}\,\left(2\,{\mathrm{root}\left(z^6+z^5-z^4-2\,z^3-z^2+1,z,k\right)}^5-{\mathrm{root}\left(z^6+z^5-z^4-2\,z^3-z^2+1,z,k\right)}^4-3\,{\mathrm{root}\left(z^6+z^5-z^4-2\,z^3-z^2+1,z,k\right)}^3+{\mathrm{root}\left(z^6+z^5-z^4-2\,z^3-z^2+1,z,k\right)}^2+3\right)}{\sqrt{x^3-x^2+\left(-\left(\frac{1}{3}-\frac{{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}{2}-\frac{1}{18\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}+\frac{\sqrt{3}\,\left(\frac{1}{9\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}-{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{18\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}+\frac{{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}{2}-\frac{1}{3}+\frac{\sqrt{3}\,\left(\frac{1}{9\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}-{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)+\left(\frac{1}{9\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}+{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}+\frac{1}{3}\right)\,\left(\frac{1}{3}-\frac{{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}{2}-\frac{1}{18\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}+\frac{\sqrt{3}\,\left(\frac{1}{9\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}-{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)-\left(\frac{1}{9\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}+{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}+\frac{1}{3}\right)\,\left(\frac{1}{18\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}+\frac{{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}{2}-\frac{1}{3}+\frac{\sqrt{3}\,\left(\frac{1}{9\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}-{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)\right)\,x+\left(\frac{1}{9\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}+{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}+\frac{1}{3}\right)\,\left(\frac{1}{3}-\frac{{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}{2}-\frac{1}{18\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}+\frac{\sqrt{3}\,\left(\frac{1}{9\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}-{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{18\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}+\frac{{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}{2}-\frac{1}{3}+\frac{\sqrt{3}\,\left(\frac{1}{9\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}-{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)}\,\left(\mathrm{root}\left(z^6+z^5-z^4-2\,z^3-z^2+1,z,k\right)+\frac{1}{18\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}+\frac{{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}{2}-\frac{1}{3}-\frac{\sqrt{3}\,\left(\frac{1}{9\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}-{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)\,\left(-6\,{\mathrm{root}\left(z^6+z^5-z^4-2\,z^3-z^2+1,z,k\right)}^5-5\,{\mathrm{root}\left(z^6+z^5-z^4-2\,z^3-z^2+1,z,k\right)}^4+4\,{\mathrm{root}\left(z^6+z^5-z^4-2\,z^3-z^2+1,z,k\right)}^3+6\,{\mathrm{root}\left(z^6+z^5-z^4-2\,z^3-z^2+1,z,k\right)}^2+2\,\mathrm{root}\left(z^6+z^5-z^4-2\,z^3-z^2+1,z,k\right)\right)}\right)\right)+\frac{2\,\sqrt{\frac{x+\frac{1}{18\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}+\frac{{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}{2}-\frac{1}{3}-\frac{\sqrt{3}\,\left(\frac{1}{9\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}-{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}}{\frac{1}{6\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}+\frac{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}{2}-\frac{\sqrt{3}\,\left(\frac{1}{9\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}-{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{9\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}-x+{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}+\frac{1}{3}}{\frac{1}{6\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}+\frac{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}{2}-\frac{\sqrt{3}\,\left(\frac{1}{9\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}-{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}}}\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{x+\frac{1}{18\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}+\frac{{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}{2}-\frac{1}{3}-\frac{\sqrt{3}\,\left(\frac{1}{9\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}-{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}}{\frac{1}{6\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}+\frac{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}{2}-\frac{\sqrt{3}\,\left(\frac{1}{9\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}-{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}}}\right)\middle|\frac{\sqrt{3}\,\left(\frac{1}{6\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}+\frac{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}{2}-\frac{\sqrt{3}\,\left(\frac{1}{9\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}-{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)\,1{}\mathrm{i}}{3\,\left(\frac{1}{9\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}-{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}\right)}\right)\,\left(\frac{1}{6\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}+\frac{3\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}{2}-\frac{\sqrt{3}\,\left(\frac{1}{9\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}-{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)\,\sqrt{-\frac{\sqrt{3}\,\left(x+\frac{1}{18\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}+\frac{{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}{2}-\frac{1}{3}+\frac{\sqrt{3}\,\left(\frac{1}{9\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}-{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)\,1{}\mathrm{i}}{3\,\left(\frac{1}{9\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}-{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}\right)}}}{\sqrt{x^3-x^2+\left(-\left(\frac{1}{3}-\frac{{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}{2}-\frac{1}{18\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}+\frac{\sqrt{3}\,\left(\frac{1}{9\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}-{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{18\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}+\frac{{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}{2}-\frac{1}{3}+\frac{\sqrt{3}\,\left(\frac{1}{9\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}-{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)+\left(\frac{1}{9\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}+{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}+\frac{1}{3}\right)\,\left(\frac{1}{3}-\frac{{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}{2}-\frac{1}{18\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}+\frac{\sqrt{3}\,\left(\frac{1}{9\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}-{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)-\left(\frac{1}{9\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}+{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}+\frac{1}{3}\right)\,\left(\frac{1}{18\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}+\frac{{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}{2}-\frac{1}{3}+\frac{\sqrt{3}\,\left(\frac{1}{9\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}-{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)\right)\,x+\left(\frac{1}{9\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}+{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}+\frac{1}{3}\right)\,\left(\frac{1}{3}-\frac{{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}{2}-\frac{1}{18\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}+\frac{\sqrt{3}\,\left(\frac{1}{9\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}-{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{18\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}+\frac{{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}{2}-\frac{1}{3}+\frac{\sqrt{3}\,\left(\frac{1}{9\,{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}}-{\left(\frac{\sqrt{31}\,\sqrt{108}}{108}+\frac{29}{54}\right)}^{1/3}\right)\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"symsum(-(2*((x - (3^(1/2)*(1/(9*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3))*1i)/2 + 1/(18*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) + ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)/2 - 1/3)/(1/(6*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - (3^(1/2)*(1/(9*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3))*1i)/2 + (3*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3))/2))^(1/2)*((1/(9*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - x + ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3) + 1/3)/(1/(6*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - (3^(1/2)*(1/(9*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3))*1i)/2 + (3*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3))/2))^(1/2)*ellipticPi((1/(6*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - (3^(1/2)*(1/(9*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3))*1i)/2 + (3*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3))/2)/(root(z^6 + z^5 - z^4 - 2*z^3 - z^2 + 1, z, k) - (3^(1/2)*(1/(9*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3))*1i)/2 + 1/(18*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) + ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)/2 - 1/3), asin(((x - (3^(1/2)*(1/(9*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3))*1i)/2 + 1/(18*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) + ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)/2 - 1/3)/(1/(6*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - (3^(1/2)*(1/(9*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3))*1i)/2 + (3*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3))/2))^(1/2)), (3^(1/2)*(1/(6*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - (3^(1/2)*(1/(9*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3))*1i)/2 + (3*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3))/2)*1i)/(3*(1/(9*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3))))*(1/(6*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - (3^(1/2)*(1/(9*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3))*1i)/2 + (3*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3))/2)*(-(3^(1/2)*(x + (3^(1/2)*(1/(9*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3))*1i)/2 + 1/(18*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) + ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)/2 - 1/3)*1i)/(3*(1/(9*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3))))^(1/2)*(root(z^6 + z^5 - z^4 - 2*z^3 - z^2 + 1, z, k)^2 - 3*root(z^6 + z^5 - z^4 - 2*z^3 - z^2 + 1, z, k)^3 - root(z^6 + z^5 - z^4 - 2*z^3 - z^2 + 1, z, k)^4 + 2*root(z^6 + z^5 - z^4 - 2*z^3 - z^2 + 1, z, k)^5 + 3))/((x^3 - x^2 - x*(((3^(1/2)*(1/(9*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3))*1i)/2 - 1/(18*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)/2 + 1/3)*((3^(1/2)*(1/(9*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3))*1i)/2 + 1/(18*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) + ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)/2 - 1/3) - (1/(9*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) + ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3) + 1/3)*((3^(1/2)*(1/(9*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3))*1i)/2 - 1/(18*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)/2 + 1/3) + (1/(9*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) + ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3) + 1/3)*((3^(1/2)*(1/(9*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3))*1i)/2 + 1/(18*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) + ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)/2 - 1/3)) + (1/(9*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) + ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3) + 1/3)*((3^(1/2)*(1/(9*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3))*1i)/2 - 1/(18*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)/2 + 1/3)*((3^(1/2)*(1/(9*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3))*1i)/2 + 1/(18*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) + ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)/2 - 1/3))^(1/2)*(root(z^6 + z^5 - z^4 - 2*z^3 - z^2 + 1, z, k) - (3^(1/2)*(1/(9*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3))*1i)/2 + 1/(18*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) + ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)/2 - 1/3)*(6*root(z^6 + z^5 - z^4 - 2*z^3 - z^2 + 1, z, k)^2 + 4*root(z^6 + z^5 - z^4 - 2*z^3 - z^2 + 1, z, k)^3 - 5*root(z^6 + z^5 - z^4 - 2*z^3 - z^2 + 1, z, k)^4 - 6*root(z^6 + z^5 - z^4 - 2*z^3 - z^2 + 1, z, k)^5 + 2*root(z^6 + z^5 - z^4 - 2*z^3 - z^2 + 1, z, k))), k, 1, 6) + (2*((x - (3^(1/2)*(1/(9*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3))*1i)/2 + 1/(18*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) + ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)/2 - 1/3)/(1/(6*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - (3^(1/2)*(1/(9*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3))*1i)/2 + (3*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3))/2))^(1/2)*((1/(9*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - x + ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3) + 1/3)/(1/(6*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - (3^(1/2)*(1/(9*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3))*1i)/2 + (3*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3))/2))^(1/2)*ellipticF(asin(((x - (3^(1/2)*(1/(9*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3))*1i)/2 + 1/(18*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) + ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)/2 - 1/3)/(1/(6*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - (3^(1/2)*(1/(9*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3))*1i)/2 + (3*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3))/2))^(1/2)), (3^(1/2)*(1/(6*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - (3^(1/2)*(1/(9*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3))*1i)/2 + (3*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3))/2)*1i)/(3*(1/(9*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3))))*(1/(6*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - (3^(1/2)*(1/(9*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3))*1i)/2 + (3*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3))/2)*(-(3^(1/2)*(x + (3^(1/2)*(1/(9*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3))*1i)/2 + 1/(18*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) + ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)/2 - 1/3)*1i)/(3*(1/(9*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3))))^(1/2))/(x^3 - x^2 - x*(((3^(1/2)*(1/(9*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3))*1i)/2 - 1/(18*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)/2 + 1/3)*((3^(1/2)*(1/(9*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3))*1i)/2 + 1/(18*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) + ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)/2 - 1/3) - (1/(9*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) + ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3) + 1/3)*((3^(1/2)*(1/(9*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3))*1i)/2 - 1/(18*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)/2 + 1/3) + (1/(9*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) + ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3) + 1/3)*((3^(1/2)*(1/(9*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3))*1i)/2 + 1/(18*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) + ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)/2 - 1/3)) + (1/(9*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) + ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3) + 1/3)*((3^(1/2)*(1/(9*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3))*1i)/2 - 1/(18*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)/2 + 1/3)*((3^(1/2)*(1/(9*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) - ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3))*1i)/2 + 1/(18*((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)) + ((31^(1/2)*108^(1/2))/108 + 29/54)^(1/3)/2 - 1/3))^(1/2)","B"
1292,0,-1,93,0.000000,"\text{Not used}","int(((x^4 + 1)*(x^4 - x^2 - 1)^(1/2))/(x^6 - 3*x^4 - x^2 + x^8 + 1),x)","\int \frac{\left(x^4+1\right)\,\sqrt{x^4-x^2-1}}{x^8+x^6-3\,x^4-x^2+1} \,d x","Not used",1,"int(((x^4 + 1)*(x^4 - x^2 - 1)^(1/2))/(x^6 - 3*x^4 - x^2 + x^8 + 1), x)","F"
1293,0,-1,93,0.000000,"\text{Not used}","int((x^2*(x + (x + 1)^(1/2))^(1/2))/(x + 1)^(1/2),x)","\int \frac{x^2\,\sqrt{x+\sqrt{x+1}}}{\sqrt{x+1}} \,d x","Not used",1,"int((x^2*(x + (x + 1)^(1/2))^(1/2))/(x + 1)^(1/2), x)","F"
1294,1,26,94,0.848579,"\text{Not used}","int((x^3 - 1)^(2/3),x)","\frac{x\,{\left(x^3-1\right)}^{2/3}\,{{}}_2{\mathrm{F}}_1\left(-\frac{2}{3},\frac{1}{3};\ \frac{4}{3};\ x^3\right)}{{\left(1-x^3\right)}^{2/3}}","Not used",1,"(x*(x^3 - 1)^(2/3)*hypergeom([-2/3, 1/3], 4/3, x^3))/(1 - x^3)^(2/3)","B"
1295,1,12,94,0.767819,"\text{Not used}","int((x^3 + 1)^(2/3),x)","x\,{{}}_2{\mathrm{F}}_1\left(-\frac{2}{3},\frac{1}{3};\ \frac{4}{3};\ -x^3\right)","Not used",1,"x*hypergeom([-2/3, 1/3], 4/3, -x^3)","B"
1296,0,-1,94,0.000000,"\text{Not used}","int((x^3 - 1)/(x^3 + 2)^(1/3),x)","\int \frac{x^3-1}{{\left(x^3+2\right)}^{1/3}} \,d x","Not used",1,"int((x^3 - 1)/(x^3 + 2)^(1/3), x)","F"
1297,1,27,94,0.795379,"\text{Not used}","int((x + x^3)^(1/3),x)","\frac{3\,x\,{\left(x^3+x\right)}^{1/3}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{3},\frac{2}{3};\ \frac{5}{3};\ -x^2\right)}{4\,{\left(x^2+1\right)}^{1/3}}","Not used",1,"(3*x*(x + x^3)^(1/3)*hypergeom([-1/3, 2/3], 5/3, -x^2))/(4*(x^2 + 1)^(1/3))","B"
1298,0,-1,94,0.000000,"\text{Not used}","int(((2*k*x^2 - 2*k + x*(k - 1)*(k + 1))*(k^2*x^2 + 2*k*x + 1))/(((x^2 - 1)*(k^2*x^2 - 1))^(3/4)*(d + x^2*(3*d*k^2 + 1) + k*x*(3*d + 1) + k*x^3*(d*k^2 - 1) - 1)),x)","\int \frac{\left(2\,k\,x^2+\left(k-1\right)\,\left(k+1\right)\,x-2\,k\right)\,\left(k^2\,x^2+2\,k\,x+1\right)}{{\left(\left(x^2-1\right)\,\left(k^2\,x^2-1\right)\right)}^{3/4}\,\left(k\,\left(d\,k^2-1\right)\,x^3+\left(3\,d\,k^2+1\right)\,x^2+k\,\left(3\,d+1\right)\,x+d-1\right)} \,d x","Not used",1,"int(((2*k*x^2 - 2*k + x*(k - 1)*(k + 1))*(k^2*x^2 + 2*k*x + 1))/(((x^2 - 1)*(k^2*x^2 - 1))^(3/4)*(d + x^2*(3*d*k^2 + 1) + k*x*(3*d + 1) + k*x^3*(d*k^2 - 1) - 1)), x)","F"
1299,0,-1,94,0.000000,"\text{Not used}","int(((x^4 - 1)^(3/4)*(x^4 + 4))/(x^8*(x^4 - 4)),x)","\int \frac{{\left(x^4-1\right)}^{3/4}\,\left(x^4+4\right)}{x^8\,\left(x^4-4\right)} \,d x","Not used",1,"int(((x^4 - 1)^(3/4)*(x^4 + 4))/(x^8*(x^4 - 4)), x)","F"
1300,0,-1,94,0.000000,"\text{Not used}","int((4*b + a*x^3)/((b + a*x^3)^(1/4)*(b + a*x^3 + x^4)),x)","\int \frac{a\,x^3+4\,b}{{\left(a\,x^3+b\right)}^{1/4}\,\left(x^4+a\,x^3+b\right)} \,d x","Not used",1,"int((4*b + a*x^3)/((b + a*x^3)^(1/4)*(b + a*x^3 + x^4)), x)","F"
1301,1,453,94,1.443263,"\text{Not used}","int((a^2*b + 3*a*x^2 - x^3 - a*x*(2*a + b))/((x*(a - x)*(b - x))^(1/2)*(x^2*(d - b^2) + a^2*d + 2*b*x^3 - x^4 - 2*a*d*x)),x)","\sum _{k=1}^4\frac{2\,b\,\left(\mathrm{root}\left(z^4-2\,b\,z^3-z^2\,\left(d-b^2\right)+2\,a\,d\,z-a^2\,d,z,k\right)-a\right)\,\sqrt{\frac{x}{b}}\,\sqrt{\frac{b-x}{b}}\,\sqrt{\frac{a-x}{a-b}}\,\Pi \left(-\frac{b}{\mathrm{root}\left(z^4-2\,b\,z^3-z^2\,\left(d-b^2\right)+2\,a\,d\,z-a^2\,d,z,k\right)-b};\mathrm{asin}\left(\sqrt{\frac{b-x}{b}}\right)\middle|-\frac{b}{a-b}\right)\,\left({\mathrm{root}\left(z^4-2\,b\,z^3-z^2\,\left(d-b^2\right)+2\,a\,d\,z-a^2\,d,z,k\right)}^2-2\,a\,\mathrm{root}\left(z^4-2\,b\,z^3-z^2\,\left(d-b^2\right)+2\,a\,d\,z-a^2\,d,z,k\right)+a\,b\right)}{\left(\mathrm{root}\left(z^4-2\,b\,z^3-z^2\,\left(d-b^2\right)+2\,a\,d\,z-a^2\,d,z,k\right)-b\right)\,\sqrt{x\,\left(a-x\right)\,\left(b-x\right)}\,\left(2\,b^2\,\mathrm{root}\left(z^4-2\,b\,z^3-z^2\,\left(d-b^2\right)+2\,a\,d\,z-a^2\,d,z,k\right)-6\,b\,{\mathrm{root}\left(z^4-2\,b\,z^3-z^2\,\left(d-b^2\right)+2\,a\,d\,z-a^2\,d,z,k\right)}^2+4\,{\mathrm{root}\left(z^4-2\,b\,z^3-z^2\,\left(d-b^2\right)+2\,a\,d\,z-a^2\,d,z,k\right)}^3-2\,d\,\mathrm{root}\left(z^4-2\,b\,z^3-z^2\,\left(d-b^2\right)+2\,a\,d\,z-a^2\,d,z,k\right)+2\,a\,d\right)}","Not used",1,"symsum((2*b*(root(z^4 - 2*b*z^3 - z^2*(d - b^2) + 2*a*d*z - a^2*d, z, k) - a)*(x/b)^(1/2)*((b - x)/b)^(1/2)*((a - x)/(a - b))^(1/2)*ellipticPi(-b/(root(z^4 - 2*b*z^3 - z^2*(d - b^2) + 2*a*d*z - a^2*d, z, k) - b), asin(((b - x)/b)^(1/2)), -b/(a - b))*(a*b - 2*a*root(z^4 - 2*b*z^3 - z^2*(d - b^2) + 2*a*d*z - a^2*d, z, k) + root(z^4 - 2*b*z^3 - z^2*(d - b^2) + 2*a*d*z - a^2*d, z, k)^2))/((root(z^4 - 2*b*z^3 - z^2*(d - b^2) + 2*a*d*z - a^2*d, z, k) - b)*(x*(a - x)*(b - x))^(1/2)*(2*a*d - 2*d*root(z^4 - 2*b*z^3 - z^2*(d - b^2) + 2*a*d*z - a^2*d, z, k) - 6*b*root(z^4 - 2*b*z^3 - z^2*(d - b^2) + 2*a*d*z - a^2*d, z, k)^2 + 2*b^2*root(z^4 - 2*b*z^3 - z^2*(d - b^2) + 2*a*d*z - a^2*d, z, k) + 4*root(z^4 - 2*b*z^3 - z^2*(d - b^2) + 2*a*d*z - a^2*d, z, k)^3)), k, 1, 4)","B"
1302,1,75,94,1.251932,"\text{Not used}","int(-(2*b - a*x^4)/(x^4*(a*x^4 + b*x^2)^(1/4)),x)","\frac{4\,{\left(a\,x^4+b\,x^2\right)}^{3/4}\,\left(3\,b-4\,a\,x^2\right)}{21\,b\,x^5}+\frac{2\,a\,x\,{\left(\frac{a\,x^2}{b}+1\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{1}{4};\ \frac{5}{4};\ -\frac{a\,x^2}{b}\right)}{{\left(a\,x^4+b\,x^2\right)}^{1/4}}","Not used",1,"(4*(a*x^4 + b*x^2)^(3/4)*(3*b - 4*a*x^2))/(21*b*x^5) + (2*a*x*((a*x^2)/b + 1)^(1/4)*hypergeom([1/4, 1/4], 5/4, -(a*x^2)/b))/(a*x^4 + b*x^2)^(1/4)","B"
1303,1,75,94,1.052524,"\text{Not used}","int((2*b + a*x^4)/(x^4*(a*x^4 + b*x^2)^(1/4)),x)","\frac{2\,a\,x\,{\left(\frac{a\,x^2}{b}+1\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{1}{4};\ \frac{5}{4};\ -\frac{a\,x^2}{b}\right)}{{\left(a\,x^4+b\,x^2\right)}^{1/4}}-\frac{4\,{\left(a\,x^4+b\,x^2\right)}^{3/4}\,\left(3\,b-4\,a\,x^2\right)}{21\,b\,x^5}","Not used",1,"(2*a*x*((a*x^2)/b + 1)^(1/4)*hypergeom([1/4, 1/4], 5/4, -(a*x^2)/b))/(a*x^4 + b*x^2)^(1/4) - (4*(a*x^4 + b*x^2)^(3/4)*(3*b - 4*a*x^2))/(21*b*x^5)","B"
1304,0,-1,94,0.000000,"\text{Not used}","int((x - 1)/((x + 1)*(a + b*x + a*x^4 + b*x^3 + c*x^2)^(1/2)),x)","\int \frac{x-1}{\left(x+1\right)\,\sqrt{a\,x^4+b\,x^3+c\,x^2+b\,x+a}} \,d x","Not used",1,"int((x - 1)/((x + 1)*(a + b*x + a*x^4 + b*x^3 + c*x^2)^(1/2)), x)","F"
1305,0,-1,94,0.000000,"\text{Not used}","int((x + 1)/((x - 1)*(a + b*x + a*x^4 + b*x^3 + c*x^2)^(1/2)),x)","\int \frac{x+1}{\left(x-1\right)\,\sqrt{a\,x^4+b\,x^3+c\,x^2+b\,x+a}} \,d x","Not used",1,"int((x + 1)/((x - 1)*(a + b*x + a*x^4 + b*x^3 + c*x^2)^(1/2)), x)","F"
1306,0,-1,94,0.000000,"\text{Not used}","int(x^2/((k^2*x^4 - 1)*((x^2 - 1)*(k^2*x^2 - 1))^(1/2)),x)","\int \frac{x^2}{\left(k^2\,x^4-1\right)\,\sqrt{\left(x^2-1\right)\,\left(k^2\,x^2-1\right)}} \,d x","Not used",1,"int(x^2/((k^2*x^4 - 1)*((x^2 - 1)*(k^2*x^2 - 1))^(1/2)), x)","F"
1307,0,-1,94,0.000000,"\text{Not used}","int(-((x^6 - 1)^(2/3)*(x^6 + 1))/(x^3*(x^3 - x^6 + 1)),x)","\int -\frac{{\left(x^6-1\right)}^{2/3}\,\left(x^6+1\right)}{x^3\,\left(-x^6+x^3+1\right)} \,d x","Not used",1,"int(-((x^6 - 1)^(2/3)*(x^6 + 1))/(x^3*(x^3 - x^6 + 1)), x)","F"
1308,0,-1,94,0.000000,"\text{Not used}","int(((x^6 - 1)*(x^6 + 1)^(2/3))/(x^3*(x^6 - x^3 + 1)),x)","\int \frac{\left(x^6-1\right)\,{\left(x^6+1\right)}^{2/3}}{x^3\,\left(x^6-x^3+1\right)} \,d x","Not used",1,"int(((x^6 - 1)*(x^6 + 1)^(2/3))/(x^3*(x^6 - x^3 + 1)), x)","F"
1309,0,-1,94,0.000000,"\text{Not used}","int((x^8 - 1)/((x^8 + 1)*(x^4 - x^2)^(1/4)),x)","\int \frac{x^8-1}{\left(x^8+1\right)\,{\left(x^4-x^2\right)}^{1/4}} \,d x","Not used",1,"int((x^8 - 1)/((x^8 + 1)*(x^4 - x^2)^(1/4)), x)","F"
1310,0,-1,94,0.000000,"\text{Not used}","int((x^8 - 1)/((x^8 + 1)*(x^4 - x^2)^(1/4)),x)","\int \frac{x^8-1}{\left(x^8+1\right)\,{\left(x^4-x^2\right)}^{1/4}} \,d x","Not used",1,"int((x^8 - 1)/((x^8 + 1)*(x^4 - x^2)^(1/4)), x)","F"
1311,0,-1,94,0.000000,"\text{Not used}","int((3*x^4 + x^8 + 1)/(x^2*(x^4 + 1)^(3/4)*(3*x^4 + 3*x^8 + 1)),x)","\int \frac{x^8+3\,x^4+1}{x^2\,{\left(x^4+1\right)}^{3/4}\,\left(3\,x^8+3\,x^4+1\right)} \,d x","Not used",1,"int((3*x^4 + x^8 + 1)/(x^2*(x^4 + 1)^(3/4)*(3*x^4 + 3*x^8 + 1)), x)","F"
1312,0,-1,94,0.000000,"\text{Not used}","int((c + ((b + a^2*x^2)^(1/2) + a*x)^(1/2))^(1/2)/(b + a^2*x^2),x)","\int \frac{\sqrt{c+\sqrt{\sqrt{a^2\,x^2+b}+a\,x}}}{a^2\,x^2+b} \,d x","Not used",1,"int((c + ((b + a^2*x^2)^(1/2) + a*x)^(1/2))^(1/2)/(b + a^2*x^2), x)","F"
1313,0,-1,94,0.000000,"\text{Not used}","int((c + ((b + a^2*x^2)^(1/2) + a*x)^(1/2))^(1/2)/(b + a^2*x^2),x)","\int \frac{\sqrt{c+\sqrt{\sqrt{a^2\,x^2+b}+a\,x}}}{a^2\,x^2+b} \,d x","Not used",1,"int((c + ((b + a^2*x^2)^(1/2) + a*x)^(1/2))^(1/2)/(b + a^2*x^2), x)","F"
1314,1,104,95,1.337336,"\text{Not used}","int((x - 1)/(x^4*(x^3 + 1)^(1/3)),x)","\frac{\ln\left(\frac{{\left(x^3+1\right)}^{1/3}}{9}-\frac{1}{9}\right)}{9}+\ln\left(\frac{{\left(x^3+1\right)}^{1/3}}{9}-9\,{\left(-\frac{1}{18}+\frac{\sqrt{3}\,1{}\mathrm{i}}{18}\right)}^2\right)\,\left(-\frac{1}{18}+\frac{\sqrt{3}\,1{}\mathrm{i}}{18}\right)-\ln\left(\frac{{\left(x^3+1\right)}^{1/3}}{9}-9\,{\left(\frac{1}{18}+\frac{\sqrt{3}\,1{}\mathrm{i}}{18}\right)}^2\right)\,\left(\frac{1}{18}+\frac{\sqrt{3}\,1{}\mathrm{i}}{18}\right)-\frac{{\left(x^3+1\right)}^{2/3}}{2\,x^2}+\frac{{\left(x^3+1\right)}^{2/3}}{3\,x^3}","Not used",1,"log((x^3 + 1)^(1/3)/9 - 1/9)/9 + log((x^3 + 1)^(1/3)/9 - 9*((3^(1/2)*1i)/18 - 1/18)^2)*((3^(1/2)*1i)/18 - 1/18) - log((x^3 + 1)^(1/3)/9 - 9*((3^(1/2)*1i)/18 + 1/18)^2)*((3^(1/2)*1i)/18 + 1/18) - (x^3 + 1)^(2/3)/(2*x^2) + (x^3 + 1)^(2/3)/(3*x^3)","B"
1315,0,-1,95,0.000000,"\text{Not used}","int(((2*x + 3)*(x + x^3 + 1)^(1/3))/(x^2*(x + 1)),x)","\int \frac{\left(2\,x+3\right)\,{\left(x^3+x+1\right)}^{1/3}}{x^2\,\left(x+1\right)} \,d x","Not used",1,"int(((2*x + 3)*(x + x^3 + 1)^(1/3))/(x^2*(x + 1)), x)","F"
1316,0,-1,95,0.000000,"\text{Not used}","int(((a^2 - 2*a*x + x^2)*(2*x*(a - b) - a*b + x^2))/((x*(a - x)*(b - x))^(3/4)*(x*(b + 3*a^2*d) - a^3*d + d*x^3 - x^2*(3*a*d + 1))),x)","\int \frac{\left(a^2-2\,a\,x+x^2\right)\,\left(2\,x\,\left(a-b\right)-a\,b+x^2\right)}{{\left(x\,\left(a-x\right)\,\left(b-x\right)\right)}^{3/4}\,\left(x\,\left(3\,d\,a^2+b\right)-a^3\,d+d\,x^3-x^2\,\left(3\,a\,d+1\right)\right)} \,d x","Not used",1,"int(((a^2 - 2*a*x + x^2)*(2*x*(a - b) - a*b + x^2))/((x*(a - x)*(b - x))^(3/4)*(x*(b + 3*a^2*d) - a^3*d + d*x^3 - x^2*(3*a*d + 1))), x)","F"
1317,0,-1,95,0.000000,"\text{Not used}","int(-(x^2 + 1)^2/((x^2 - 1)*(x^4 - 6*x^2 + 1)^(3/4)),x)","\int -\frac{{\left(x^2+1\right)}^2}{\left(x^2-1\right)\,{\left(x^4-6\,x^2+1\right)}^{3/4}} \,d x","Not used",1,"int(-(x^2 + 1)^2/((x^2 - 1)*(x^4 - 6*x^2 + 1)^(3/4)), x)","F"
1318,0,-1,95,0.000000,"\text{Not used}","int(((x^3 - 4)*(x^4 - x^3 + 1))/(x^2*(x^3 - 1)^(3/4)*(x^3 + x^4 - 1)),x)","\int \frac{\left(x^3-4\right)\,\left(x^4-x^3+1\right)}{x^2\,{\left(x^3-1\right)}^{3/4}\,\left(x^4+x^3-1\right)} \,d x","Not used",1,"int(((x^3 - 4)*(x^4 - x^3 + 1))/(x^2*(x^3 - 1)^(3/4)*(x^3 + x^4 - 1)), x)","F"
1319,0,-1,95,0.000000,"\text{Not used}","int(((x^4 - 1)*(x^4 + 3)*(x^3 - x^4 + 1))/(x^6*(x^5 - x)^(1/4)*(2*x^3 - x^4 + 1)),x)","\int \frac{\left(x^4-1\right)\,\left(x^4+3\right)\,\left(-x^4+x^3+1\right)}{x^6\,{\left(x^5-x\right)}^{1/4}\,\left(-x^4+2\,x^3+1\right)} \,d x","Not used",1,"int(((x^4 - 1)*(x^4 + 3)*(x^3 - x^4 + 1))/(x^6*(x^5 - x)^(1/4)*(2*x^3 - x^4 + 1)), x)","F"
1320,0,-1,95,0.000000,"\text{Not used}","int(-((4*b + a*x^5)*(a*x^5 - b + c*x^4))/(x^2*(a*x^5 - b)^(3/4)*(b - a*x^5 + c*x^4)),x)","\int -\frac{\left(a\,x^5+4\,b\right)\,\left(a\,x^5+c\,x^4-b\right)}{x^2\,{\left(a\,x^5-b\right)}^{3/4}\,\left(-a\,x^5+c\,x^4+b\right)} \,d x","Not used",1,"int(-((4*b + a*x^5)*(a*x^5 - b + c*x^4))/(x^2*(a*x^5 - b)^(3/4)*(b - a*x^5 + c*x^4)), x)","F"
1321,0,-1,95,0.000000,"\text{Not used}","int(((x^6 - 2)*(x^6 - x^4 + 1))/(x^4*(x^6 + 1)^(1/4)*(x^4 + x^6 + 1)),x)","\int \frac{\left(x^6-2\right)\,\left(x^6-x^4+1\right)}{x^4\,{\left(x^6+1\right)}^{1/4}\,\left(x^6+x^4+1\right)} \,d x","Not used",1,"int(((x^6 - 2)*(x^6 - x^4 + 1))/(x^4*(x^6 + 1)^(1/4)*(x^4 + x^6 + 1)), x)","F"
1322,0,-1,95,0.000000,"\text{Not used}","int((x^4*(2*b + a*x^6))/((a*x^6 - b)^(1/4)*(b - a*x^6 + x^4)^2),x)","\int \frac{x^4\,\left(a\,x^6+2\,b\right)}{{\left(a\,x^6-b\right)}^{1/4}\,{\left(-a\,x^6+x^4+b\right)}^2} \,d x","Not used",1,"int((x^4*(2*b + a*x^6))/((a*x^6 - b)^(1/4)*(b - a*x^6 + x^4)^2), x)","F"
1323,0,-1,95,0.000000,"\text{Not used}","int(((2*b + a*x^6)*(b - a*x^6 + x^4))/(x^4*(a*x^6 - b)^(1/4)*(b - a*x^6 + 2*x^4)),x)","\int \frac{\left(a\,x^6+2\,b\right)\,\left(-a\,x^6+x^4+b\right)}{x^4\,{\left(a\,x^6-b\right)}^{1/4}\,\left(-a\,x^6+2\,x^4+b\right)} \,d x","Not used",1,"int(((2*b + a*x^6)*(b - a*x^6 + x^4))/(x^4*(a*x^6 - b)^(1/4)*(b - a*x^6 + 2*x^4)), x)","F"
1324,0,-1,95,0.000000,"\text{Not used}","int(((x^3 + 3*x^8 - 1)*(- 2*x^2 - 2*x^3 - x^8 - 1)^(1/2))/((2*x^3 + x^8 + 1)*(x^2 + 2*x^3 + x^8 + 1)),x)","\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+1\right)\,\left(x^8+2\,x^3+x^2+1\right)} \,d x","Not used",1,"int(((x^3 + 3*x^8 - 1)*(- 2*x^2 - 2*x^3 - x^8 - 1)^(1/2))/((2*x^3 + x^8 + 1)*(x^2 + 2*x^3 + x^8 + 1)), x)","F"
1325,0,-1,95,0.000000,"\text{Not used}","int(-((x^6 + 1)*(x^6 - x^2 - 2)^(1/2))/(3*x^4 + 4*x^6 - x^12 - 4),x)","\int -\frac{\left(x^6+1\right)\,\sqrt{x^6-x^2-2}}{-x^{12}+4\,x^6+3\,x^4-4} \,d x","Not used",1,"int(-((x^6 + 1)*(x^6 - x^2 - 2)^(1/2))/(3*x^4 + 4*x^6 - x^12 - 4), x)","F"
1326,0,-1,96,0.000000,"\text{Not used}","int(x*(x^3 - 1)^(1/3),x)","\int x\,{\left(x^3-1\right)}^{1/3} \,d x","Not used",1,"int(x*(x^3 - 1)^(1/3), x)","F"
1327,0,-1,96,0.000000,"\text{Not used}","int(x*(x^3 + 1)^(1/3),x)","\int x\,{\left(x^3+1\right)}^{1/3} \,d x","Not used",1,"int(x*(x^3 + 1)^(1/3), x)","F"
1328,0,-1,96,0.000000,"\text{Not used}","int((x + x^3)^(1/3)/x^2,x)","\int \frac{{\left(x^3+x\right)}^{1/3}}{x^2} \,d x","Not used",1,"int((x + x^3)^(1/3)/x^2, x)","F"
1329,0,-1,96,0.000000,"\text{Not used}","int(((k*x - 1)*(x - 1)*(k*x^2 - 2*x*(k + 1) + 3))/(x*(x*(k*x - 1)*(x - 1))^(3/4)*(d*x^3 + x*(k + 1) - k*x^2 - 1)),x)","\int \frac{\left(k\,x-1\right)\,\left(x-1\right)\,\left(k\,x^2-2\,x\,\left(k+1\right)+3\right)}{x\,{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{3/4}\,\left(d\,x^3-k\,x^2+\left(k+1\right)\,x-1\right)} \,d x","Not used",1,"int(((k*x - 1)*(x - 1)*(k*x^2 - 2*x*(k + 1) + 3))/(x*(x*(k*x - 1)*(x - 1))^(3/4)*(d*x^3 + x*(k + 1) - k*x^2 - 1)), x)","F"
1330,0,-1,96,0.000000,"\text{Not used}","int(-((x^2 - 2*x + 1)*(2*k^2*x^2 + x*(k - 1)*(k + 1) - 2))/(((x^2 - 1)*(k^2*x^2 - 1))^(3/4)*(x^3*(d - k^2) - d - x^2*(3*d + k^2) + x*(3*d + 1) + 1)),x)","-\int \frac{\left(x^2-2\,x+1\right)\,\left(2\,k^2\,x^2+x\,\left(k-1\right)\,\left(k+1\right)-2\right)}{{\left(\left(x^2-1\right)\,\left(k^2\,x^2-1\right)\right)}^{3/4}\,\left(\left(d-k^2\right)\,x^3+\left(-k^2-3\,d\right)\,x^2+\left(3\,d+1\right)\,x-d+1\right)} \,d x","Not used",1,"-int(((x^2 - 2*x + 1)*(2*k^2*x^2 + x*(k - 1)*(k + 1) - 2))/(((x^2 - 1)*(k^2*x^2 - 1))^(3/4)*(x^3*(d - k^2) - d - x^2*(3*d + k^2) + x*(3*d + 1) + 1)), x)","F"
1331,0,-1,96,0.000000,"\text{Not used}","int(-x^2/((b - a*x^2)*(a*x^4 - b*x^2)^(1/4)),x)","-\int \frac{x^2}{\left(b-a\,x^2\right)\,{\left(a\,x^4-b\,x^2\right)}^{1/4}} \,d x","Not used",1,"-int(x^2/((b - a*x^2)*(a*x^4 - b*x^2)^(1/4)), x)","F"
1332,1,184,96,8.379255,"\text{Not used}","int(-((q + p*x^5)^(1/2)*(2*q - 3*p*x^5)*(a*q + b*x^2 + a*p*x^5))/(x^4*(c*q + d*x^2 + c*p*x^5)),x)","\frac{2\,a\,{\left(p\,x^5+q\right)}^{3/2}}{3\,c\,x^3}+\frac{2\,b\,\sqrt{p\,x^5+q}}{c\,x}-\frac{2\,a\,d\,\sqrt{p\,x^5+q}}{c^2\,x}+\frac{a\,d^{3/2}\,\ln\left(\frac{c\,q-d\,x^2+c\,p\,x^5+\sqrt{c}\,\sqrt{d}\,x\,\sqrt{p\,x^5+q}\,2{}\mathrm{i}}{c\,p\,x^5+d\,x^2+c\,q}\right)\,1{}\mathrm{i}}{c^{5/2}}-\frac{b\,\sqrt{d}\,\ln\left(\frac{c\,q-d\,x^2+c\,p\,x^5+\sqrt{c}\,\sqrt{d}\,x\,\sqrt{p\,x^5+q}\,2{}\mathrm{i}}{c\,p\,x^5+d\,x^2+c\,q}\right)\,1{}\mathrm{i}}{c^{3/2}}","Not used",1,"(a*d^(3/2)*log((c*q - d*x^2 + c*p*x^5 + c^(1/2)*d^(1/2)*x*(q + p*x^5)^(1/2)*2i)/(c*q + d*x^2 + c*p*x^5))*1i)/c^(5/2) - (b*d^(1/2)*log((c*q - d*x^2 + c*p*x^5 + c^(1/2)*d^(1/2)*x*(q + p*x^5)^(1/2)*2i)/(c*q + d*x^2 + c*p*x^5))*1i)/c^(3/2) + (2*a*(q + p*x^5)^(3/2))/(3*c*x^3) + (2*b*(q + p*x^5)^(1/2))/(c*x) - (2*a*d*(q + p*x^5)^(1/2))/(c^2*x)","B"
1333,1,31,96,0.944236,"\text{Not used}","int(x/(x^2 + x^6)^(1/3),x)","\frac{3\,x^2\,{\left(x^4+1\right)}^{1/3}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{3},\frac{1}{3};\ \frac{4}{3};\ -x^4\right)}{4\,{\left(x^6+x^2\right)}^{1/3}}","Not used",1,"(3*x^2*(x^4 + 1)^(1/3)*hypergeom([1/3, 1/3], 4/3, -x^4))/(4*(x^2 + x^6)^(1/3))","B"
1334,0,-1,96,0.000000,"\text{Not used}","int((x^4 - 1)/((x^2 + x^6)^(1/4)*(x^2 + x^4 + 1)),x)","\int \frac{x^4-1}{{\left(x^6+x^2\right)}^{1/4}\,\left(x^4+x^2+1\right)} \,d x","Not used",1,"int((x^4 - 1)/((x^2 + x^6)^(1/4)*(x^2 + x^4 + 1)), x)","F"
1335,0,-1,96,0.000000,"\text{Not used}","int((x^4 - 1)/((x^2 + x^6)^(1/4)*(x^2 + x^4 + 1)),x)","\int \frac{x^4-1}{{\left(x^6+x^2\right)}^{1/4}\,\left(x^4+x^2+1\right)} \,d x","Not used",1,"int((x^4 - 1)/((x^2 + x^6)^(1/4)*(x^2 + x^4 + 1)), x)","F"
1336,0,-1,96,0.000000,"\text{Not used}","int(-(x^2*(2*b + a*x^6))/((a*x^6 - b)^(3/4)*(b - a*x^6 + 2*c*x^4)),x)","\int -\frac{x^2\,\left(a\,x^6+2\,b\right)}{{\left(a\,x^6-b\right)}^{3/4}\,\left(-a\,x^6+2\,c\,x^4+b\right)} \,d x","Not used",1,"int(-(x^2*(2*b + a*x^6))/((a*x^6 - b)^(3/4)*(b - a*x^6 + 2*c*x^4)), x)","F"
1337,0,-1,96,0.000000,"\text{Not used}","int(-1/((b + a*x^4)^(1/4)*(2*b + 2*a*x^4 - x^8)),x)","-\int \frac{1}{{\left(a\,x^4+b\right)}^{1/4}\,\left(-x^8+2\,a\,x^4+2\,b\right)} \,d x","Not used",1,"-int(1/((b + a*x^4)^(1/4)*(2*b + 2*a*x^4 - x^8)), x)","F"
1338,0,-1,96,0.000000,"\text{Not used}","int(-1/((b + a*x^4)^(1/4)*(2*b + 2*a*x^4 - x^8)),x)","-\int \frac{1}{{\left(a\,x^4+b\right)}^{1/4}\,\left(-x^8+2\,a\,x^4+2\,b\right)} \,d x","Not used",1,"-int(1/((b + a*x^4)^(1/4)*(2*b + 2*a*x^4 - x^8)), x)","F"
1339,0,-1,96,0.000000,"\text{Not used}","int((2*b - a*x^4)/((b + a*x^4)^(1/4)*(b + a*x^4 - 2*x^8)),x)","\int \frac{2\,b-a\,x^4}{{\left(a\,x^4+b\right)}^{1/4}\,\left(-2\,x^8+a\,x^4+b\right)} \,d x","Not used",1,"int((2*b - a*x^4)/((b + a*x^4)^(1/4)*(b + a*x^4 - 2*x^8)), x)","F"
1340,-1,-1,97,0.000000,"\text{Not used}","int((k^2*x^2 + b*x + 1)/((k^2*x^2 - 1)*(x*(k^2*x - 1)*(x - 1))^(1/2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
1341,1,107,97,0.955838,"\text{Not used}","int((x^3 - 1)^(1/3)/x^7,x)","\frac{\ln\left(\frac{{\left(x^3-1\right)}^{1/3}}{81}+\frac{1}{81}\right)}{27}-\frac{\frac{{\left(x^3-1\right)}^{1/3}}{9}-\frac{{\left(x^3-1\right)}^{4/3}}{18}}{{\left(x^3-1\right)}^2+2\,x^3-1}-\ln\left(\frac{1}{6}-\frac{{\left(x^3-1\right)}^{1/3}}{3}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)\,\left(\frac{1}{54}+\frac{\sqrt{3}\,1{}\mathrm{i}}{54}\right)+\ln\left(\frac{{\left(x^3-1\right)}^{1/3}}{3}-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)\,\left(-\frac{1}{54}+\frac{\sqrt{3}\,1{}\mathrm{i}}{54}\right)","Not used",1,"log((x^3 - 1)^(1/3)/81 + 1/81)/27 - ((x^3 - 1)^(1/3)/9 - (x^3 - 1)^(4/3)/18)/((x^3 - 1)^2 + 2*x^3 - 1) - log((3^(1/2)*1i)/6 - (x^3 - 1)^(1/3)/3 + 1/6)*((3^(1/2)*1i)/54 + 1/54) + log((3^(1/2)*1i)/6 + (x^3 - 1)^(1/3)/3 - 1/6)*((3^(1/2)*1i)/54 - 1/54)","B"
1342,1,108,97,0.958232,"\text{Not used}","int((x^3 + 1)^(1/3)/x^7,x)","\frac{\frac{{\left(x^3+1\right)}^{1/3}}{9}+\frac{{\left(x^3+1\right)}^{4/3}}{18}}{2\,x^3-{\left(x^3+1\right)}^2+1}-\frac{\ln\left(\frac{{\left(x^3+1\right)}^{1/3}}{81}-\frac{1}{81}\right)}{27}-\ln\left(\frac{{\left(x^3+1\right)}^{1/3}}{3}+\frac{1}{6}-\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)\,\left(-\frac{1}{54}+\frac{\sqrt{3}\,1{}\mathrm{i}}{54}\right)+\ln\left(\frac{{\left(x^3+1\right)}^{1/3}}{3}+\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)\,\left(\frac{1}{54}+\frac{\sqrt{3}\,1{}\mathrm{i}}{54}\right)","Not used",1,"((x^3 + 1)^(1/3)/9 + (x^3 + 1)^(4/3)/18)/(2*x^3 - (x^3 + 1)^2 + 1) - log((x^3 + 1)^(1/3)/81 - 1/81)/27 - log((x^3 + 1)^(1/3)/3 - (3^(1/2)*1i)/6 + 1/6)*((3^(1/2)*1i)/54 - 1/54) + log((3^(1/2)*1i)/6 + (x^3 + 1)^(1/3)/3 + 1/6)*((3^(1/2)*1i)/54 + 1/54)","B"
1343,1,152,97,1.236038,"\text{Not used}","int(((x^3 - 1)*(x^3 + 1)^(1/3))/x^4,x)","\frac{\ln\left({\left(x^3+1\right)}^{1/3}-1\right)}{3}-\frac{\ln\left(\frac{{\left(x^3+1\right)}^{1/3}}{9}-\frac{1}{9}\right)}{9}+{\left(x^3+1\right)}^{1/3}-\ln\left({\left(x^3+1\right)}^{1/3}+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(-\frac{1}{18}+\frac{\sqrt{3}\,1{}\mathrm{i}}{18}\right)+\ln\left({\left(x^3+1\right)}^{1/3}+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{18}+\frac{\sqrt{3}\,1{}\mathrm{i}}{18}\right)+\frac{{\left(x^3+1\right)}^{1/3}}{3\,x^3}+\ln\left(3\,{\left(x^3+1\right)}^{1/3}+\frac{3}{2}-\frac{\sqrt{3}\,3{}\mathrm{i}}{2}\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)-\ln\left(3\,{\left(x^3+1\right)}^{1/3}+\frac{3}{2}+\frac{\sqrt{3}\,3{}\mathrm{i}}{2}\right)\,\left(\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)","Not used",1,"log((x^3 + 1)^(1/3) - 1)/3 - log((x^3 + 1)^(1/3)/9 - 1/9)/9 + (x^3 + 1)^(1/3) - log((x^3 + 1)^(1/3) - (3^(1/2)*1i)/2 + 1/2)*((3^(1/2)*1i)/18 - 1/18) + log((3^(1/2)*1i)/2 + (x^3 + 1)^(1/3) + 1/2)*((3^(1/2)*1i)/18 + 1/18) + (x^3 + 1)^(1/3)/(3*x^3) + log(3*(x^3 + 1)^(1/3) - (3^(1/2)*3i)/2 + 3/2)*((3^(1/2)*1i)/6 - 1/6) - log((3^(1/2)*3i)/2 + 3*(x^3 + 1)^(1/3) + 3/2)*((3^(1/2)*1i)/6 + 1/6)","B"
1344,0,-1,97,0.000000,"\text{Not used}","int(-(x + 1)/((x^3 - x^2)^(1/3)*(x - x^3 + 1)),x)","\int -\frac{x+1}{{\left(x^3-x^2\right)}^{1/3}\,\left(-x^3+x+1\right)} \,d x","Not used",1,"int(-(x + 1)/((x^3 - x^2)^(1/3)*(x - x^3 + 1)), x)","F"
1345,0,-1,97,0.000000,"\text{Not used}","int(-(x + 1)/((x^3 - x^2)^(1/3)*(x - x^3 + 1)),x)","\int -\frac{x+1}{{\left(x^3-x^2\right)}^{1/3}\,\left(-x^3+x+1\right)} \,d x","Not used",1,"int(-(x + 1)/((x^3 - x^2)^(1/3)*(x - x^3 + 1)), x)","F"
1346,1,210,97,0.885325,"\text{Not used}","int((x^2 - 1)/((x^2 + 1)*(x^3 - x^2 - x)^(1/2)),x)","-\frac{\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\,\sqrt{\frac{x+\frac{\sqrt{5}}{2}-\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}}\,\left(\sqrt{5}+1\right)\,\sqrt{\frac{\frac{\sqrt{5}}{2}-x+\frac{1}{2}}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\,\left(-\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\right)\middle|-\frac{\frac{\sqrt{5}}{2}+\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}\right)+\Pi \left(-\frac{\sqrt{5}\,1{}\mathrm{i}}{2}-\frac{1}{2}{}\mathrm{i};\mathrm{asin}\left(\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\right)\middle|-\frac{\frac{\sqrt{5}}{2}+\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}\right)+\Pi \left(\frac{\sqrt{5}\,1{}\mathrm{i}}{2}+\frac{1}{2}{}\mathrm{i};\mathrm{asin}\left(\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\right)\middle|-\frac{\frac{\sqrt{5}}{2}+\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}\right)\right)}{\sqrt{x^3-x^2-\left(\frac{\sqrt{5}}{2}-\frac{1}{2}\right)\,\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)\,x}}","Not used",1,"-((x/(5^(1/2)/2 + 1/2))^(1/2)*((x + 5^(1/2)/2 - 1/2)/(5^(1/2)/2 - 1/2))^(1/2)*(5^(1/2) + 1)*((5^(1/2)/2 - x + 1/2)/(5^(1/2)/2 + 1/2))^(1/2)*(ellipticPi(- (5^(1/2)*1i)/2 - 1i/2, asin((x/(5^(1/2)/2 + 1/2))^(1/2)), -(5^(1/2)/2 + 1/2)/(5^(1/2)/2 - 1/2)) - ellipticF(asin((x/(5^(1/2)/2 + 1/2))^(1/2)), -(5^(1/2)/2 + 1/2)/(5^(1/2)/2 - 1/2)) + ellipticPi((5^(1/2)*1i)/2 + 1i/2, asin((x/(5^(1/2)/2 + 1/2))^(1/2)), -(5^(1/2)/2 + 1/2)/(5^(1/2)/2 - 1/2))))/(x^3 - x^2 - x*(5^(1/2)/2 - 1/2)*(5^(1/2)/2 + 1/2))^(1/2)","B"
1347,0,-1,97,0.000000,"\text{Not used}","int((x^2 + x^3)^(1/3)/x,x)","\int \frac{{\left(x^3+x^2\right)}^{1/3}}{x} \,d x","Not used",1,"int((x^2 + x^3)^(1/3)/x, x)","F"
1348,0,-1,97,0.000000,"\text{Not used}","int(((x^3 + 1)^(2/3)*(x^3 + 2))/(x^6*(2*x^3 + 1)),x)","\int \frac{{\left(x^3+1\right)}^{2/3}\,\left(x^3+2\right)}{x^6\,\left(2\,x^3+1\right)} \,d x","Not used",1,"int(((x^3 + 1)^(2/3)*(x^3 + 2))/(x^6*(2*x^3 + 1)), x)","F"
1349,1,121,97,1.265878,"\text{Not used}","int(((x^4 + 1)^(1/3)*(x^4 - 3))/x^9,x)","\frac{\ln\left(\frac{{\left(x^4+1\right)}^{1/3}}{16}-\frac{1}{16}\right)}{6}-\frac{\frac{{\left(x^4+1\right)}^{1/3}}{4}+\frac{{\left(x^4+1\right)}^{4/3}}{8}}{2\,x^4-{\left(x^4+1\right)}^2+1}-\frac{{\left(x^4+1\right)}^{1/3}}{4\,x^4}+\ln\left(\frac{3\,{\left(x^4+1\right)}^{1/3}}{4}+\frac{3}{8}-\frac{\sqrt{3}\,3{}\mathrm{i}}{8}\right)\,\left(-\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)-\ln\left(\frac{3\,{\left(x^4+1\right)}^{1/3}}{4}+\frac{3}{8}+\frac{\sqrt{3}\,3{}\mathrm{i}}{8}\right)\,\left(\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)","Not used",1,"log((x^4 + 1)^(1/3)/16 - 1/16)/6 - ((x^4 + 1)^(1/3)/4 + (x^4 + 1)^(4/3)/8)/(2*x^4 - (x^4 + 1)^2 + 1) - (x^4 + 1)^(1/3)/(4*x^4) + log((3*(x^4 + 1)^(1/3))/4 - (3^(1/2)*3i)/8 + 3/8)*((3^(1/2)*1i)/12 - 1/12) - log((3^(1/2)*3i)/8 + (3*(x^4 + 1)^(1/3))/4 + 3/8)*((3^(1/2)*1i)/12 + 1/12)","B"
1350,1,58,97,1.144559,"\text{Not used}","int(-(b - a*x^3)/(x^3*(b*x + a*x^4)^(1/4)),x)","\frac{4\,{\left(a\,x^4+b\,x\right)}^{3/4}}{9\,x^3}+\frac{4\,a\,x\,{\left(\frac{a\,x^3}{b}+1\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{1}{4};\ \frac{5}{4};\ -\frac{a\,x^3}{b}\right)}{3\,{\left(a\,x^4+b\,x\right)}^{1/4}}","Not used",1,"(4*(b*x + a*x^4)^(3/4))/(9*x^3) + (4*a*x*((a*x^3)/b + 1)^(1/4)*hypergeom([1/4, 1/4], 5/4, -(a*x^3)/b))/(3*(b*x + a*x^4)^(1/4))","B"
1351,1,58,97,0.962051,"\text{Not used}","int((b + a*x^3)/(x^3*(b*x + a*x^4)^(1/4)),x)","\frac{4\,a\,x\,{\left(\frac{a\,x^3}{b}+1\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{1}{4};\ \frac{5}{4};\ -\frac{a\,x^3}{b}\right)}{3\,{\left(a\,x^4+b\,x\right)}^{1/4}}-\frac{4\,{\left(a\,x^4+b\,x\right)}^{3/4}}{9\,x^3}","Not used",1,"(4*a*x*((a*x^3)/b + 1)^(1/4)*hypergeom([1/4, 1/4], 5/4, -(a*x^3)/b))/(3*(b*x + a*x^4)^(1/4)) - (4*(b*x + a*x^4)^(3/4))/(9*x^3)","B"
1352,1,118,97,0.986306,"\text{Not used}","int(1/(x^13*(x^6 + 1)^(1/3)),x)","\frac{\ln\left(\frac{{\left(x^6+1\right)}^{1/3}}{81}-\frac{1}{81}\right)}{27}+\ln\left(\frac{{\left(x^6+1\right)}^{1/3}}{81}-9\,{\left(-\frac{1}{54}+\frac{\sqrt{3}\,1{}\mathrm{i}}{54}\right)}^2\right)\,\left(-\frac{1}{54}+\frac{\sqrt{3}\,1{}\mathrm{i}}{54}\right)-\ln\left(\frac{{\left(x^6+1\right)}^{1/3}}{81}-9\,{\left(\frac{1}{54}+\frac{\sqrt{3}\,1{}\mathrm{i}}{54}\right)}^2\right)\,\left(\frac{1}{54}+\frac{\sqrt{3}\,1{}\mathrm{i}}{54}\right)+\frac{\frac{7\,{\left(x^6+1\right)}^{2/3}}{36}-\frac{{\left(x^6+1\right)}^{5/3}}{9}}{2\,x^6-{\left(x^6+1\right)}^2+1}","Not used",1,"log((x^6 + 1)^(1/3)/81 - 1/81)/27 + log((x^6 + 1)^(1/3)/81 - 9*((3^(1/2)*1i)/54 - 1/54)^2)*((3^(1/2)*1i)/54 - 1/54) - log((x^6 + 1)^(1/3)/81 - 9*((3^(1/2)*1i)/54 + 1/54)^2)*((3^(1/2)*1i)/54 + 1/54) + ((7*(x^6 + 1)^(2/3))/36 - (x^6 + 1)^(5/3)/9)/(2*x^6 - (x^6 + 1)^2 + 1)","B"
1353,0,-1,97,0.000000,"\text{Not used}","int((5*x^8 - 3)/((x^8 + 1)*(x^8 - x^3 + 1)^(1/3)),x)","\int \frac{5\,x^8-3}{\left(x^8+1\right)\,{\left(x^8-x^3+1\right)}^{1/3}} \,d x","Not used",1,"int((5*x^8 - 3)/((x^8 + 1)*(x^8 - x^3 + 1)^(1/3)), x)","F"
1354,0,-1,97,0.000000,"\text{Not used}","int((x + (x + 1)^(1/2))^(1/2)/((x + 1)^(1/2) + 1),x)","\int \frac{\sqrt{x+\sqrt{x+1}}}{\sqrt{x+1}+1} \,d x","Not used",1,"int((x + (x + 1)^(1/2))^(1/2)/((x + 1)^(1/2) + 1), x)","F"
1355,0,-1,97,0.000000,"\text{Not used}","int((x + (x^2 + 1)^(1/2))/((x + (x^2 + 1)^(1/2))^(1/2) + 1),x)","\int \frac{x+\sqrt{x^2+1}}{\sqrt{x+\sqrt{x^2+1}}+1} \,d x","Not used",1,"int((x + (x^2 + 1)^(1/2))/((x + (x^2 + 1)^(1/2))^(1/2) + 1), x)","F"
1356,0,-1,98,0.000000,"\text{Not used}","int(-x^2/((a*x^2 - b)^(3/4)*(2*b - a*x^2)),x)","-\int \frac{x^2}{{\left(a\,x^2-b\right)}^{3/4}\,\left(2\,b-a\,x^2\right)} \,d x","Not used",1,"-int(x^2/((a*x^2 - b)^(3/4)*(2*b - a*x^2)), x)","F"
1357,0,-1,98,0.000000,"\text{Not used}","int(-((2*k - 2*k*x^2 + x*(k - 1)*(k + 1))*(k^2*x^2 - 2*k*x + 1))/(((x^2 - 1)*(k^2*x^2 - 1))^(3/4)*(k*x*(3*d + 1) - x^2*(3*d*k^2 + 1) - d + k*x^3*(d*k^2 - 1) + 1)),x)","\int -\frac{\left(-2\,k\,x^2+\left(k-1\right)\,\left(k+1\right)\,x+2\,k\right)\,\left(k^2\,x^2-2\,k\,x+1\right)}{{\left(\left(x^2-1\right)\,\left(k^2\,x^2-1\right)\right)}^{3/4}\,\left(k\,\left(d\,k^2-1\right)\,x^3+\left(-3\,d\,k^2-1\right)\,x^2+k\,\left(3\,d+1\right)\,x-d+1\right)} \,d x","Not used",1,"int(-((2*k - 2*k*x^2 + x*(k - 1)*(k + 1))*(k^2*x^2 - 2*k*x + 1))/(((x^2 - 1)*(k^2*x^2 - 1))^(3/4)*(k*x*(3*d + 1) - x^2*(3*d*k^2 + 1) - d + k*x^3*(d*k^2 - 1) + 1)), x)","F"
1358,0,-1,98,0.000000,"\text{Not used}","int(((x^2 - 1)*(x^2 + 1)*(3*x^2 + x^4 + 1)^(1/2))/(x^2*(x + x^2 + 1)^2),x)","\int \frac{\left(x^2-1\right)\,\left(x^2+1\right)\,\sqrt{x^4+3\,x^2+1}}{x^2\,{\left(x^2+x+1\right)}^2} \,d x","Not used",1,"int(((x^2 - 1)*(x^2 + 1)*(3*x^2 + x^4 + 1)^(1/2))/(x^2*(x + x^2 + 1)^2), x)","F"
1359,0,-1,98,0.000000,"\text{Not used}","int(((x^2 + 2)*(x + 2*x^2 - 4)*(2*x^4 - 7*x^2 + 8)^(1/2))/x^4,x)","\int \frac{\left(x^2+2\right)\,\left(2\,x^2+x-4\right)\,\sqrt{2\,x^4-7\,x^2+8}}{x^4} \,d x","Not used",1,"int(((x^2 + 2)*(x + 2*x^2 - 4)*(2*x^4 - 7*x^2 + 8)^(1/2))/x^4, x)","F"
1360,0,-1,98,0.000000,"\text{Not used}","int(x^4*(a*x^4 - b)^(3/4),x)","\int x^4\,{\left(a\,x^4-b\right)}^{3/4} \,d x","Not used",1,"int(x^4*(a*x^4 - b)^(3/4), x)","F"
1361,1,89,98,1.284558,"\text{Not used}","int(-((a*x^4 + b*x^2)^(1/4)*(2*b - a*x^2))/x^2,x)","\frac{2\,a\,x\,{\left(a\,x^4+b\,x^2\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{4},\frac{3}{4};\ \frac{7}{4};\ -\frac{a\,x^2}{b}\right)}{3\,{\left(\frac{a\,x^2}{b}+1\right)}^{1/4}}+\frac{4\,b\,{\left(a\,x^4+b\,x^2\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{4},-\frac{1}{4};\ \frac{3}{4};\ -\frac{a\,x^2}{b}\right)}{x\,{\left(\frac{a\,x^2}{b}+1\right)}^{1/4}}","Not used",1,"(2*a*x*(a*x^4 + b*x^2)^(1/4)*hypergeom([-1/4, 3/4], 7/4, -(a*x^2)/b))/(3*((a*x^2)/b + 1)^(1/4)) + (4*b*(a*x^4 + b*x^2)^(1/4)*hypergeom([-1/4, -1/4], 3/4, -(a*x^2)/b))/(x*((a*x^2)/b + 1)^(1/4))","B"
1362,1,89,98,1.102137,"\text{Not used}","int(((a*x^4 + b*x^2)^(1/4)*(2*b + a*x^2))/x^2,x)","\frac{2\,a\,x\,{\left(a\,x^4+b\,x^2\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{4},\frac{3}{4};\ \frac{7}{4};\ -\frac{a\,x^2}{b}\right)}{3\,{\left(\frac{a\,x^2}{b}+1\right)}^{1/4}}-\frac{4\,b\,{\left(a\,x^4+b\,x^2\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{4},-\frac{1}{4};\ \frac{3}{4};\ -\frac{a\,x^2}{b}\right)}{x\,{\left(\frac{a\,x^2}{b}+1\right)}^{1/4}}","Not used",1,"(2*a*x*(a*x^4 + b*x^2)^(1/4)*hypergeom([-1/4, 3/4], 7/4, -(a*x^2)/b))/(3*((a*x^2)/b + 1)^(1/4)) - (4*b*(a*x^4 + b*x^2)^(1/4)*hypergeom([-1/4, -1/4], 3/4, -(a*x^2)/b))/(x*((a*x^2)/b + 1)^(1/4))","B"
1363,0,-1,98,0.000000,"\text{Not used}","int(-(2*k^2*x^3 - x*(3*k^2 - 1))/(((x^2 - 1)*(k^2*x^2 - 1))^(1/4)*(3*k^4*x^4 - d - k^6*x^6 + x^2*(d - 3*k^2) + 1)),x)","\int -\frac{2\,k^2\,x^3-x\,\left(3\,k^2-1\right)}{{\left(\left(x^2-1\right)\,\left(k^2\,x^2-1\right)\right)}^{1/4}\,\left(3\,k^4\,x^4-d-k^6\,x^6+x^2\,\left(d-3\,k^2\right)+1\right)} \,d x","Not used",1,"int(-(2*k^2*x^3 - x*(3*k^2 - 1))/(((x^2 - 1)*(k^2*x^2 - 1))^(1/4)*(3*k^4*x^4 - d - k^6*x^6 + x^2*(d - 3*k^2) + 1)), x)","F"
1364,0,-1,98,0.000000,"\text{Not used}","int(-(b - a*x^4)/((b + a*x^4)^(1/4)*(b - a*x^4 + x^8)),x)","\int -\frac{b-a\,x^4}{{\left(a\,x^4+b\right)}^{1/4}\,\left(x^8-a\,x^4+b\right)} \,d x","Not used",1,"int(-(b - a*x^4)/((b + a*x^4)^(1/4)*(b - a*x^4 + x^8)), x)","F"
1365,0,-1,98,0.000000,"\text{Not used}","int(-(b - a*x^4)/((b + a*x^4)^(1/4)*(b - a*x^4 + x^8)),x)","\int -\frac{b-a\,x^4}{{\left(a\,x^4+b\right)}^{1/4}\,\left(x^8-a\,x^4+b\right)} \,d x","Not used",1,"int(-(b - a*x^4)/((b + a*x^4)^(1/4)*(b - a*x^4 + x^8)), x)","F"
1366,0,-1,98,0.000000,"\text{Not used}","int(((x^5 + 4)*(x^8 - 2*x^5 - x^4 + x^9 + x^10 + 1))/(x^2*(x^5 - 1)^(3/4)*(x^4 - 2*x^5 - x^8 - x^9 + x^10 + 1)),x)","\int \frac{\left(x^5+4\right)\,\left(x^{10}+x^9+x^8-2\,x^5-x^4+1\right)}{x^2\,{\left(x^5-1\right)}^{3/4}\,\left(x^{10}-x^9-x^8-2\,x^5+x^4+1\right)} \,d x","Not used",1,"int(((x^5 + 4)*(x^8 - 2*x^5 - x^4 + x^9 + x^10 + 1))/(x^2*(x^5 - 1)^(3/4)*(x^4 - 2*x^5 - x^8 - x^9 + x^10 + 1)), x)","F"
1367,0,-1,98,0.000000,"\text{Not used}","int(((x^5 + 4)*(x^8 - 2*x^5 - x^4 + x^9 + x^10 + 1))/(x^2*(x^5 - 1)^(3/4)*(x^4 - 2*x^5 - x^8 - x^9 + x^10 + 1)),x)","\int \frac{\left(x^5+4\right)\,\left(x^{10}+x^9+x^8-2\,x^5-x^4+1\right)}{x^2\,{\left(x^5-1\right)}^{3/4}\,\left(x^{10}-x^9-x^8-2\,x^5+x^4+1\right)} \,d x","Not used",1,"int(((x^5 + 4)*(x^8 - 2*x^5 - x^4 + x^9 + x^10 + 1))/(x^2*(x^5 - 1)^(3/4)*(x^4 - 2*x^5 - x^8 - x^9 + x^10 + 1)), x)","F"
1368,0,-1,98,0.000000,"\text{Not used}","int(1/((b + a^2*x^4)^(1/2) + a*x^2)^(1/2),x)","\int \frac{1}{\sqrt{\sqrt{a^2\,x^4+b}+a\,x^2}} \,d x","Not used",1,"int(1/((b + a^2*x^4)^(1/2) + a*x^2)^(1/2), x)","F"
1369,1,81,99,1.122545,"\text{Not used}","int(-((b^2 + a^2*x^2)^(3/4)*(3*b - 2*a*x^2))/x,x)","3\,b^{5/2}\,\mathrm{atanh}\left(\frac{{\left(a^2\,x^2+b^2\right)}^{1/4}}{\sqrt{b}}\right)-3\,b^{5/2}\,\mathrm{atan}\left(\frac{{\left(a^2\,x^2+b^2\right)}^{1/4}}{\sqrt{b}}\right)-2\,b\,{\left(a^2\,x^2+b^2\right)}^{3/4}+\frac{4\,{\left(a^2\,x^2+b^2\right)}^{7/4}}{7\,a}","Not used",1,"3*b^(5/2)*atanh((b^2 + a^2*x^2)^(1/4)/b^(1/2)) - 3*b^(5/2)*atan((b^2 + a^2*x^2)^(1/4)/b^(1/2)) - 2*b*(b^2 + a^2*x^2)^(3/4) + (4*(b^2 + a^2*x^2)^(7/4))/(7*a)","B"
1370,1,221,99,0.225075,"\text{Not used}","int(-(x - 1)/((x^3 - 1)^(1/2)*(2*x - x^2 + 2)),x)","-\frac{\left(\Pi \left(\sqrt{3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right);\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)-\Pi \left(-\sqrt{3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right);\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)\right)\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\left(\sqrt{3}+1{}\mathrm{i}\right)}{2\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"-((ellipticPi(3^(1/2)*((3^(1/2)*1i)/6 + 1/2), asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)) - ellipticPi(-3^(1/2)*((3^(1/2)*1i)/6 + 1/2), asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(3^(1/2) + 1i))/(2*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2))","B"
1371,1,505,99,0.087349,"\text{Not used}","int(-(x^2 - x + 3)/((x^3 - 1)^(1/2)*(2*x - x^2 + 2)),x)","-\frac{2\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}-\frac{\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\left(\sqrt{3}-6\right)\,\Pi \left(\frac{\sqrt{3}\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{3};\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{3\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}+\frac{\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\left(\sqrt{3}+6\right)\,\Pi \left(-\frac{\sqrt{3}\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{3};\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{3\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(((3^(1/2)*1i)/2 + 3/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(3^(1/2) + 6)*ellipticPi(-(3^(1/2)*((3^(1/2)*1i)/2 + 3/2))/3, asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(3*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2)) - (((3^(1/2)*1i)/2 + 3/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(3^(1/2) - 6)*ellipticPi((3^(1/2)*((3^(1/2)*1i)/2 + 3/2))/3, asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(3*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2)) - (2*((3^(1/2)*1i)/2 + 3/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticF(asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2)","B"
1372,1,509,99,0.830078,"\text{Not used}","int(-(2*x + x^2)/((x^3 - 1)^(1/2)*(2*x - x^2 + 2)),x)","-\frac{2\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}-\frac{\left(4\,\sqrt{3}-6\right)\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{\sqrt{3}\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{3};\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{3\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}+\frac{\left(4\,\sqrt{3}+6\right)\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(-\frac{\sqrt{3}\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{3};\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{3\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"((4*3^(1/2) + 6)*((3^(1/2)*1i)/2 + 3/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi(-(3^(1/2)*((3^(1/2)*1i)/2 + 3/2))/3, asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(3*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2)) - ((4*3^(1/2) - 6)*((3^(1/2)*1i)/2 + 3/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi((3^(1/2)*((3^(1/2)*1i)/2 + 3/2))/3, asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(3*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2)) - (2*((3^(1/2)*1i)/2 + 3/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticF(asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2)","B"
1373,1,186,99,1.038959,"\text{Not used}","int(((x^3 - 1)^(1/3)*(x^3 + 1))/x^7,x)","\frac{\ln\left(\frac{{\left(x^3-1\right)}^{1/3}}{9}+\frac{1}{9}\right)}{9}+\frac{\ln\left(\frac{{\left(x^3-1\right)}^{1/3}}{81}+\frac{1}{81}\right)}{27}-\frac{\frac{{\left(x^3-1\right)}^{1/3}}{9}-\frac{{\left(x^3-1\right)}^{4/3}}{18}}{{\left(x^3-1\right)}^2+2\,x^3-1}+\ln\left({\left(x^3-1\right)}^{1/3}-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(-\frac{1}{18}+\frac{\sqrt{3}\,1{}\mathrm{i}}{18}\right)-\frac{{\left(x^3-1\right)}^{1/3}}{3\,x^3}-\ln\left(\frac{1}{2}-{\left(x^3-1\right)}^{1/3}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{18}+\frac{\sqrt{3}\,1{}\mathrm{i}}{18}\right)-\ln\left(\frac{1}{6}-\frac{{\left(x^3-1\right)}^{1/3}}{3}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)\,\left(\frac{1}{54}+\frac{\sqrt{3}\,1{}\mathrm{i}}{54}\right)+\ln\left(\frac{{\left(x^3-1\right)}^{1/3}}{3}-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)\,\left(-\frac{1}{54}+\frac{\sqrt{3}\,1{}\mathrm{i}}{54}\right)","Not used",1,"log((x^3 - 1)^(1/3)/9 + 1/9)/9 + log((x^3 - 1)^(1/3)/81 + 1/81)/27 - ((x^3 - 1)^(1/3)/9 - (x^3 - 1)^(4/3)/18)/((x^3 - 1)^2 + 2*x^3 - 1) + log((3^(1/2)*1i)/2 + (x^3 - 1)^(1/3) - 1/2)*((3^(1/2)*1i)/18 - 1/18) - (x^3 - 1)^(1/3)/(3*x^3) - log((3^(1/2)*1i)/2 - (x^3 - 1)^(1/3) + 1/2)*((3^(1/2)*1i)/18 + 1/18) - log((3^(1/2)*1i)/6 - (x^3 - 1)^(1/3)/3 + 1/6)*((3^(1/2)*1i)/54 + 1/54) + log((3^(1/2)*1i)/6 + (x^3 - 1)^(1/3)/3 - 1/6)*((3^(1/2)*1i)/54 - 1/54)","B"
1374,1,187,99,1.202852,"\text{Not used}","int(((x^3 - 1)^(1/3)*(2*x^3 - 1))/x^7,x)","\frac{2\,\ln\left(\frac{4\,{\left(x^3-1\right)}^{1/3}}{9}+\frac{4}{9}\right)}{9}-\frac{\ln\left(\frac{{\left(x^3-1\right)}^{1/3}}{81}+\frac{1}{81}\right)}{27}+\frac{\frac{{\left(x^3-1\right)}^{1/3}}{9}-\frac{{\left(x^3-1\right)}^{4/3}}{18}}{{\left(x^3-1\right)}^2+2\,x^3-1}-\frac{2\,{\left(x^3-1\right)}^{1/3}}{3\,x^3}-\ln\left(1-2\,{\left(x^3-1\right)}^{1/3}+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(\frac{1}{9}+\frac{\sqrt{3}\,1{}\mathrm{i}}{9}\right)+\ln\left(2\,{\left(x^3-1\right)}^{1/3}-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(-\frac{1}{9}+\frac{\sqrt{3}\,1{}\mathrm{i}}{9}\right)+\ln\left(\frac{1}{6}-\frac{{\left(x^3-1\right)}^{1/3}}{3}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)\,\left(\frac{1}{54}+\frac{\sqrt{3}\,1{}\mathrm{i}}{54}\right)-\ln\left(\frac{{\left(x^3-1\right)}^{1/3}}{3}-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)\,\left(-\frac{1}{54}+\frac{\sqrt{3}\,1{}\mathrm{i}}{54}\right)","Not used",1,"(2*log((4*(x^3 - 1)^(1/3))/9 + 4/9))/9 - log((x^3 - 1)^(1/3)/81 + 1/81)/27 + ((x^3 - 1)^(1/3)/9 - (x^3 - 1)^(4/3)/18)/((x^3 - 1)^2 + 2*x^3 - 1) - (2*(x^3 - 1)^(1/3))/(3*x^3) - log(3^(1/2)*1i - 2*(x^3 - 1)^(1/3) + 1)*((3^(1/2)*1i)/9 + 1/9) + log(3^(1/2)*1i + 2*(x^3 - 1)^(1/3) - 1)*((3^(1/2)*1i)/9 - 1/9) + log((3^(1/2)*1i)/6 - (x^3 - 1)^(1/3)/3 + 1/6)*((3^(1/2)*1i)/54 + 1/54) - log((3^(1/2)*1i)/6 + (x^3 - 1)^(1/3)/3 - 1/6)*((3^(1/2)*1i)/54 - 1/54)","B"
1375,0,-1,99,0.000000,"\text{Not used}","int(-((x^2*(3*a - b) - 2*a*b*x)*(a^2 - 2*a*x + x^2))/((x^2*(a - x)*(b - x))^(3/4)*(x^2*(b - 3*a*d) - a^3*d + x^3*(d - 1) + 3*a^2*d*x)),x)","\int -\frac{\left(x^2\,\left(3\,a-b\right)-2\,a\,b\,x\right)\,\left(a^2-2\,a\,x+x^2\right)}{{\left(x^2\,\left(a-x\right)\,\left(b-x\right)\right)}^{3/4}\,\left(x^2\,\left(b-3\,a\,d\right)-a^3\,d+x^3\,\left(d-1\right)+3\,a^2\,d\,x\right)} \,d x","Not used",1,"int(-((x^2*(3*a - b) - 2*a*b*x)*(a^2 - 2*a*x + x^2))/((x^2*(a - x)*(b - x))^(3/4)*(x^2*(b - 3*a*d) - a^3*d + x^3*(d - 1) + 3*a^2*d*x)), x)","F"
1376,0,-1,99,0.000000,"\text{Not used}","int((x^2 + 1)/((-(x - 2*x^2 + 2)/(x + x^2 - 1))^(1/2)*(x^4 - x^2 + 1)),x)","\int \frac{x^2+1}{\sqrt{-\frac{-2\,x^2+x+2}{x^2+x-1}}\,\left(x^4-x^2+1\right)} \,d x","Not used",1,"int((x^2 + 1)/((-(x - 2*x^2 + 2)/(x + x^2 - 1))^(1/2)*(x^4 - x^2 + 1)), x)","F"
1377,0,-1,99,0.000000,"\text{Not used}","int(-(2*b - a*x^4)/(x^4*(b + a*x^4)*(a*x^4 - b*x^2)^(1/4)),x)","\int -\frac{2\,b-a\,x^4}{x^4\,\left(a\,x^4+b\right)\,{\left(a\,x^4-b\,x^2\right)}^{1/4}} \,d x","Not used",1,"int(-(2*b - a*x^4)/(x^4*(b + a*x^4)*(a*x^4 - b*x^2)^(1/4)), x)","F"
1378,0,-1,99,0.000000,"\text{Not used}","int(-(2*b - a*x^4)/(x^4*(b + a*x^4)*(a*x^4 - b*x^2)^(1/4)),x)","\int -\frac{2\,b-a\,x^4}{x^4\,\left(a\,x^4+b\right)\,{\left(a\,x^4-b\,x^2\right)}^{1/4}} \,d x","Not used",1,"int(-(2*b - a*x^4)/(x^4*(b + a*x^4)*(a*x^4 - b*x^2)^(1/4)), x)","F"
1379,1,38,99,0.856039,"\text{Not used}","int((a*x^4 + b*x^3)^(1/4),x)","\frac{4\,x\,{\left(a\,x^4+b\,x^3\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{4},\frac{7}{4};\ \frac{11}{4};\ -\frac{a\,x}{b}\right)}{7\,{\left(\frac{a\,x}{b}+1\right)}^{1/4}}","Not used",1,"(4*x*(a*x^4 + b*x^3)^(1/4)*hypergeom([-1/4, 7/4], 11/4, -(a*x)/b))/(7*((a*x)/b + 1)^(1/4))","B"
1380,1,116,99,0.987988,"\text{Not used}","int(1/(x^13*(x^6 - 1)^(1/3)),x)","\frac{\frac{7\,{\left(x^6-1\right)}^{2/3}}{36}+\frac{{\left(x^6-1\right)}^{5/3}}{9}}{{\left(x^6-1\right)}^2+2\,x^6-1}-\ln\left(9\,{\left(-\frac{1}{54}+\frac{\sqrt{3}\,1{}\mathrm{i}}{54}\right)}^2+\frac{{\left(x^6-1\right)}^{1/3}}{81}\right)\,\left(-\frac{1}{54}+\frac{\sqrt{3}\,1{}\mathrm{i}}{54}\right)+\ln\left(9\,{\left(\frac{1}{54}+\frac{\sqrt{3}\,1{}\mathrm{i}}{54}\right)}^2+\frac{{\left(x^6-1\right)}^{1/3}}{81}\right)\,\left(\frac{1}{54}+\frac{\sqrt{3}\,1{}\mathrm{i}}{54}\right)-\frac{\ln\left(\frac{{\left(x^6-1\right)}^{1/3}}{81}+\frac{1}{81}\right)}{27}","Not used",1,"log(9*((3^(1/2)*1i)/54 + 1/54)^2 + (x^6 - 1)^(1/3)/81)*((3^(1/2)*1i)/54 + 1/54) - log(9*((3^(1/2)*1i)/54 - 1/54)^2 + (x^6 - 1)^(1/3)/81)*((3^(1/2)*1i)/54 - 1/54) - log((x^6 - 1)^(1/3)/81 + 1/81)/27 + ((7*(x^6 - 1)^(2/3))/36 + (x^6 - 1)^(5/3)/9)/((x^6 - 1)^2 + 2*x^6 - 1)","B"
1381,0,-1,99,0.000000,"\text{Not used}","int(-(b + 2*a*x^4)/((b + a*x^4)^(1/4)*(2*b + a*x^4 - x^8)),x)","\int -\frac{2\,a\,x^4+b}{{\left(a\,x^4+b\right)}^{1/4}\,\left(-x^8+a\,x^4+2\,b\right)} \,d x","Not used",1,"int(-(b + 2*a*x^4)/((b + a*x^4)^(1/4)*(2*b + a*x^4 - x^8)), x)","F"
1382,0,-1,99,0.000000,"\text{Not used}","int(-(2*b + a*x^4)/((a*x^4 + b*x^2)^(1/4)*(b + a*x^4 - 2*x^8)),x)","\int -\frac{a\,x^4+2\,b}{{\left(a\,x^4+b\,x^2\right)}^{1/4}\,\left(-2\,x^8+a\,x^4+b\right)} \,d x","Not used",1,"int(-(2*b + a*x^4)/((a*x^4 + b*x^2)^(1/4)*(b + a*x^4 - 2*x^8)), x)","F"
1383,0,-1,99,0.000000,"\text{Not used}","int(-(2*b + a*x^4)/((a*x^4 + b*x^2)^(1/4)*(b + a*x^4 - 2*x^8)),x)","\int -\frac{a\,x^4+2\,b}{{\left(a\,x^4+b\,x^2\right)}^{1/4}\,\left(-2\,x^8+a\,x^4+b\right)} \,d x","Not used",1,"int(-(2*b + a*x^4)/((a*x^4 + b*x^2)^(1/4)*(b + a*x^4 - 2*x^8)), x)","F"
1384,0,-1,99,0.000000,"\text{Not used}","int(-((2*x^2 - 1)*(4*x - 4*x^2 + 4*x^4 - 1))/((2*x^2 + 1)*(-(2*x^2 - 1)/(2*x^2 + 1))^(1/2)*(8*x - 32*x^2 + 40*x^3 - 46*x^4 + 64*x^5 - 56*x^6 + 32*x^7 - 8*x^8 + 1)),x)","\int -\frac{\left(2\,x^2-1\right)\,\left(4\,x^4-4\,x^2+4\,x-1\right)}{\left(2\,x^2+1\right)\,\sqrt{-\frac{2\,x^2-1}{2\,x^2+1}}\,\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)} \,d x","Not used",1,"int(-((2*x^2 - 1)*(4*x - 4*x^2 + 4*x^4 - 1))/((2*x^2 + 1)*(-(2*x^2 - 1)/(2*x^2 + 1))^(1/2)*(8*x - 32*x^2 + 40*x^3 - 46*x^4 + 64*x^5 - 56*x^6 + 32*x^7 - 8*x^8 + 1)), x)","F"
1385,0,-1,99,0.000000,"\text{Not used}","int((x^2 + 1)^(1/2)/((x + (x^2 + 1)^(1/2))^(1/2) + x^2),x)","\int \frac{\sqrt{x^2+1}}{\sqrt{x+\sqrt{x^2+1}}+x^2} \,d x","Not used",1,"int((x^2 + 1)^(1/2)/((x + (x^2 + 1)^(1/2))^(1/2) + x^2), x)","F"
1386,0,-1,99,0.000000,"\text{Not used}","int((x^2 + 1)^(1/2)/((x + (x^2 + 1)^(1/2))^(1/2) + x^2),x)","\int \frac{\sqrt{x^2+1}}{\sqrt{x+\sqrt{x^2+1}}+x^2} \,d x","Not used",1,"int((x^2 + 1)^(1/2)/((x + (x^2 + 1)^(1/2))^(1/2) + x^2), x)","F"
1387,0,-1,100,0.000000,"\text{Not used}","int((k*x^2 + 1)/(((x^2 - 1)*(k^2*x^2 - 1))^(1/2)*(k*x^2 + c*k*x - 1)),x)","\int \frac{k\,x^2+1}{\sqrt{\left(x^2-1\right)\,\left(k^2\,x^2-1\right)}\,\left(k\,x^2+c\,k\,x-1\right)} \,d x","Not used",1,"int((k*x^2 + 1)/(((x^2 - 1)*(k^2*x^2 - 1))^(1/2)*(k*x^2 + c*k*x - 1)), x)","F"
1388,0,-1,100,0.000000,"\text{Not used}","int((k*x^2 - 1)/(((x^2 - 1)*(k^2*x^2 - 1))^(1/2)*(k*x^2 + c*k*x + 1)),x)","\int \frac{k\,x^2-1}{\sqrt{\left(x^2-1\right)\,\left(k^2\,x^2-1\right)}\,\left(k\,x^2+c\,k\,x+1\right)} \,d x","Not used",1,"int((k*x^2 - 1)/(((x^2 - 1)*(k^2*x^2 - 1))^(1/2)*(k*x^2 + c*k*x + 1)), x)","F"
1389,0,-1,100,0.000000,"\text{Not used}","int(x^2*(x + x^3)^(1/3),x)","\int x^2\,{\left(x^3+x\right)}^{1/3} \,d x","Not used",1,"int(x^2*(x + x^3)^(1/3), x)","F"
1390,0,-1,100,0.000000,"\text{Not used}","int((2*x + x^2 + 6)/((x^2 + 2)^(1/3)*(3*x - 2*x^2 + x^3 + 1)),x)","\int \frac{x^2+2\,x+6}{{\left(x^2+2\right)}^{1/3}\,\left(x^3-2\,x^2+3\,x+1\right)} \,d x","Not used",1,"int((2*x + x^2 + 6)/((x^2 + 2)^(1/3)*(3*x - 2*x^2 + x^3 + 1)), x)","F"
1391,1,27,100,1.028903,"\text{Not used}","int((x^2 + x^3)^(1/3)/x^2,x)","-\frac{3\,{\left(x^2\,\left(x+1\right)\right)}^{1/3}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{3},-\frac{1}{3};\ \frac{2}{3};\ -x\right)}{x\,{\left(x+1\right)}^{1/3}}","Not used",1,"-(3*(x^2*(x + 1))^(1/3)*hypergeom([-1/3, -1/3], 2/3, -x))/(x*(x + 1)^(1/3))","B"
1392,1,232,100,1.533011,"\text{Not used}","int(((x^4 + 1)^(1/3)*(x^4 + 3))/x^13,x)","\frac{5\,\ln\left(\frac{25\,{\left(x^4+1\right)}^{1/3}}{1296}-\frac{25}{1296}\right)}{108}-\frac{\ln\left(\frac{{\left(x^4+1\right)}^{1/3}}{144}-\frac{1}{144}\right)}{36}-\frac{\frac{5\,{\left(x^4+1\right)}^{1/3}}{36}+\frac{13\,{\left(x^4+1\right)}^{4/3}}{72}-\frac{5\,{\left(x^4+1\right)}^{7/3}}{72}}{{\left(x^4+1\right)}^3-3\,{\left(x^4+1\right)}^2+3\,x^4+2}+\frac{\frac{{\left(x^4+1\right)}^{1/3}}{12}+\frac{{\left(x^4+1\right)}^{4/3}}{24}}{2\,x^4-{\left(x^4+1\right)}^2+1}-\ln\left(\frac{{\left(x^4+1\right)}^{1/3}}{4}+\frac{1}{8}-\frac{\sqrt{3}\,1{}\mathrm{i}}{8}\right)\,\left(-\frac{1}{72}+\frac{\sqrt{3}\,1{}\mathrm{i}}{72}\right)+\ln\left(\frac{{\left(x^4+1\right)}^{1/3}}{4}+\frac{1}{8}+\frac{\sqrt{3}\,1{}\mathrm{i}}{8}\right)\,\left(\frac{1}{72}+\frac{\sqrt{3}\,1{}\mathrm{i}}{72}\right)+\ln\left(\frac{5\,{\left(x^4+1\right)}^{1/3}}{12}+\frac{5}{24}-\frac{\sqrt{3}\,5{}\mathrm{i}}{24}\right)\,\left(-\frac{5}{216}+\frac{\sqrt{3}\,5{}\mathrm{i}}{216}\right)-\ln\left(\frac{5\,{\left(x^4+1\right)}^{1/3}}{12}+\frac{5}{24}+\frac{\sqrt{3}\,5{}\mathrm{i}}{24}\right)\,\left(\frac{5}{216}+\frac{\sqrt{3}\,5{}\mathrm{i}}{216}\right)","Not used",1,"(5*log((25*(x^4 + 1)^(1/3))/1296 - 25/1296))/108 - log((x^4 + 1)^(1/3)/144 - 1/144)/36 - ((5*(x^4 + 1)^(1/3))/36 + (13*(x^4 + 1)^(4/3))/72 - (5*(x^4 + 1)^(7/3))/72)/((x^4 + 1)^3 - 3*(x^4 + 1)^2 + 3*x^4 + 2) + ((x^4 + 1)^(1/3)/12 + (x^4 + 1)^(4/3)/24)/(2*x^4 - (x^4 + 1)^2 + 1) - log((x^4 + 1)^(1/3)/4 - (3^(1/2)*1i)/8 + 1/8)*((3^(1/2)*1i)/72 - 1/72) + log((3^(1/2)*1i)/8 + (x^4 + 1)^(1/3)/4 + 1/8)*((3^(1/2)*1i)/72 + 1/72) + log((5*(x^4 + 1)^(1/3))/12 - (3^(1/2)*5i)/24 + 5/24)*((3^(1/2)*5i)/216 - 5/216) - log((3^(1/2)*5i)/24 + (5*(x^4 + 1)^(1/3))/12 + 5/24)*((3^(1/2)*5i)/216 + 5/216)","B"
1393,0,-1,100,0.000000,"\text{Not used}","int(-((x^4 - 1)^(2/3)*(x^4 + 3)*(x^3 + x^4 - 1))/(x^6*(x^3 - x^4 + 1)),x)","\int -\frac{{\left(x^4-1\right)}^{2/3}\,\left(x^4+3\right)\,\left(x^4+x^3-1\right)}{x^6\,\left(-x^4+x^3+1\right)} \,d x","Not used",1,"int(-((x^4 - 1)^(2/3)*(x^4 + 3)*(x^3 + x^4 - 1))/(x^6*(x^3 - x^4 + 1)), x)","F"
1394,0,-1,100,0.000000,"\text{Not used}","int(((x^4 + 1)^(2/3)*(x^4 - 3)*(x^3 + x^4 + 1))/(x^6*(x^4 - x^3 + 1)),x)","\int \frac{{\left(x^4+1\right)}^{2/3}\,\left(x^4-3\right)\,\left(x^4+x^3+1\right)}{x^6\,\left(x^4-x^3+1\right)} \,d x","Not used",1,"int(((x^4 + 1)^(2/3)*(x^4 - 3)*(x^3 + x^4 + 1))/(x^6*(x^4 - x^3 + 1)), x)","F"
1395,0,-1,100,0.000000,"\text{Not used}","int(-(b - a*x^2)/((a*x^4 + b*x^2)^(1/4)*(b + a*x^2 + x^4)),x)","\int -\frac{b-a\,x^2}{{\left(a\,x^4+b\,x^2\right)}^{1/4}\,\left(x^4+a\,x^2+b\right)} \,d x","Not used",1,"int(-(b - a*x^2)/((a*x^4 + b*x^2)^(1/4)*(b + a*x^2 + x^4)), x)","F"
1396,0,-1,100,0.000000,"\text{Not used}","int(-(b - a*x^2)/((a*x^4 + b*x^2)^(1/4)*(b + a*x^2 + x^4)),x)","\int -\frac{b-a\,x^2}{{\left(a\,x^4+b\,x^2\right)}^{1/4}\,\left(x^4+a\,x^2+b\right)} \,d x","Not used",1,"int(-(b - a*x^2)/((a*x^4 + b*x^2)^(1/4)*(b + a*x^2 + x^4)), x)","F"
1397,0,-1,100,0.000000,"\text{Not used}","int(-((x^3 - 1)*(x^3 + 1)^(2/3))/(x^3*(x^3 - x^6 + 1)),x)","-\int \frac{\left(x^3-1\right)\,{\left(x^3+1\right)}^{2/3}}{x^3\,\left(-x^6+x^3+1\right)} \,d x","Not used",1,"-int(((x^3 - 1)*(x^3 + 1)^(2/3))/(x^3*(x^3 - x^6 + 1)), x)","F"
1398,0,-1,100,0.000000,"\text{Not used}","int(-((x^3 - 1)*(x^3 + 1)^(2/3))/(x^3*(x^3 - x^6 + 1)),x)","-\int \frac{\left(x^3-1\right)\,{\left(x^3+1\right)}^{2/3}}{x^3\,\left(-x^6+x^3+1\right)} \,d x","Not used",1,"-int(((x^3 - 1)*(x^3 + 1)^(2/3))/(x^3*(x^3 - x^6 + 1)), x)","F"
1399,0,-1,100,0.000000,"\text{Not used}","int(((2*x^7 + 1)^(1/3)*(8*x^7 - 3))/(x^2*(x^3 + 2*x^7 + 1)),x)","\int \frac{{\left(2\,x^7+1\right)}^{1/3}\,\left(8\,x^7-3\right)}{x^2\,\left(2\,x^7+x^3+1\right)} \,d x","Not used",1,"int(((2*x^7 + 1)^(1/3)*(8*x^7 - 3))/(x^2*(x^3 + 2*x^7 + 1)), x)","F"
1400,0,-1,100,0.000000,"\text{Not used}","int(-(b - 2*a*x^4)/((b + a*x^4)^(1/4)*(a*x^4 - b + x^8)),x)","\int -\frac{b-2\,a\,x^4}{{\left(a\,x^4+b\right)}^{1/4}\,\left(x^8+a\,x^4-b\right)} \,d x","Not used",1,"int(-(b - 2*a*x^4)/((b + a*x^4)^(1/4)*(a*x^4 - b + x^8)), x)","F"
1401,0,-1,100,0.000000,"\text{Not used}","int(-(b - 2*a*x^4)/((b + a*x^4)^(1/4)*(a*x^4 - b + x^8)),x)","\int -\frac{b-2\,a\,x^4}{{\left(a\,x^4+b\right)}^{1/4}\,\left(x^8+a\,x^4-b\right)} \,d x","Not used",1,"int(-(b - 2*a*x^4)/((b + a*x^4)^(1/4)*(a*x^4 - b + x^8)), x)","F"
1402,0,-1,100,0.000000,"\text{Not used}","int(((3*x^4 - 1)*(x + 2*x^4 + x^5 + x^8 + 1)^(1/2))/(x^2*(x + 4*x^4 + 4)),x)","\int \frac{\left(3\,x^4-1\right)\,\sqrt{x^8+x^5+2\,x^4+x+1}}{x^2\,\left(4\,x^4+x+4\right)} \,d x","Not used",1,"int(((3*x^4 - 1)*(x + 2*x^4 + x^5 + x^8 + 1)^(1/2))/(x^2*(x + 4*x^4 + 4)), x)","F"
1403,0,-1,100,0.000000,"\text{Not used}","int((a*x^8 - b + c*x^4)/(x^2*(a*x^4 - b)^(3/4)),x)","\int \frac{a\,x^8+c\,x^4-b}{x^2\,{\left(a\,x^4-b\right)}^{3/4}} \,d x","Not used",1,"int((a*x^8 - b + c*x^4)/(x^2*(a*x^4 - b)^(3/4)), x)","F"
1404,0,-1,100,0.000000,"\text{Not used}","int(1/((x + (x^2 + 1)^(1/2))^(1/2)*(x + 1)),x)","\int \frac{1}{\sqrt{x+\sqrt{x^2+1}}\,\left(x+1\right)} \,d x","Not used",1,"int(1/((x + (x^2 + 1)^(1/2))^(1/2)*(x + 1)), x)","F"
1405,0,-1,100,0.000000,"\text{Not used}","int(1/(x*(a*x + (b^2 + a^2*x^2)^(1/2))^(1/2)),x)","\int \frac{1}{x\,\sqrt{a\,x+\sqrt{a^2\,x^2+b^2}}} \,d x","Not used",1,"int(1/(x*(a*x + (b^2 + a^2*x^2)^(1/2))^(1/2)), x)","F"
1406,0,-1,101,0.000000,"\text{Not used}","int(((x - 3)^6*(x^2 - x - 1)^(3/2))/(x - 1),x)","\int \frac{{\left(x-3\right)}^6\,{\left(x^2-x-1\right)}^{3/2}}{x-1} \,d x","Not used",1,"int(((x - 3)^6*(x^2 - x - 1)^(3/2))/(x - 1), x)","F"
1407,1,40,101,1.143880,"\text{Not used}","int(((x^3 - 1)*(x^3 + 1)^(1/3))/x^5,x)","\frac{{\left(x^3+1\right)}^{1/3}+x^3\,{\left(x^3+1\right)}^{1/3}}{4\,x^4}-\frac{{{}}_2{\mathrm{F}}_1\left(-\frac{1}{3},-\frac{1}{3};\ \frac{2}{3};\ -x^3\right)}{x}","Not used",1,"((x^3 + 1)^(1/3) + x^3*(x^3 + 1)^(1/3))/(4*x^4) - hypergeom([-1/3, -1/3], 2/3, -x^3)/x","B"
1408,0,-1,101,0.000000,"\text{Not used}","int(((x^3 - 1)*(x^3 + 1)^(1/3))/x^2,x)","\int \frac{\left(x^3-1\right)\,{\left(x^3+1\right)}^{1/3}}{x^2} \,d x","Not used",1,"int(((x^3 - 1)*(x^3 + 1)^(1/3))/x^2, x)","F"
1409,1,55,101,1.172051,"\text{Not used}","int(((x^3 - 1)^(1/3)*(x^3 + 1))/x^5,x)","-\frac{{\left(x^3-1\right)}^{1/3}-x^3\,{\left(x^3-1\right)}^{1/3}}{4\,x^4}-\frac{{\left(x^3-1\right)}^{1/3}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{3},-\frac{1}{3};\ \frac{2}{3};\ x^3\right)}{x\,{\left(1-x^3\right)}^{1/3}}","Not used",1,"- ((x^3 - 1)^(1/3) - x^3*(x^3 - 1)^(1/3))/(4*x^4) - ((x^3 - 1)^(1/3)*hypergeom([-1/3, -1/3], 2/3, x^3))/(x*(1 - x^3)^(1/3))","B"
1410,1,178,101,1.043359,"\text{Not used}","int(x/((x^2 + 1)*(x^3 - x^2 - x)^(1/2)),x)","\frac{\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\,\sqrt{\frac{x+\frac{\sqrt{5}}{2}-\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}}\,\left(\sqrt{5}+1\right)\,\sqrt{\frac{\frac{\sqrt{5}}{2}-x+\frac{1}{2}}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\,\left(\Pi \left(-\frac{\sqrt{5}\,1{}\mathrm{i}}{2}-\frac{1}{2}{}\mathrm{i};\mathrm{asin}\left(\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\right)\middle|-\frac{\frac{\sqrt{5}}{2}+\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}\right)-\Pi \left(\frac{\sqrt{5}\,1{}\mathrm{i}}{2}+\frac{1}{2}{}\mathrm{i};\mathrm{asin}\left(\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\right)\middle|-\frac{\frac{\sqrt{5}}{2}+\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}\right)\right)\,1{}\mathrm{i}}{2\,\sqrt{x^3-x^2-\left(\frac{\sqrt{5}}{2}-\frac{1}{2}\right)\,\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)\,x}}","Not used",1,"((x/(5^(1/2)/2 + 1/2))^(1/2)*((x + 5^(1/2)/2 - 1/2)/(5^(1/2)/2 - 1/2))^(1/2)*(5^(1/2) + 1)*((5^(1/2)/2 - x + 1/2)/(5^(1/2)/2 + 1/2))^(1/2)*(ellipticPi(- (5^(1/2)*1i)/2 - 1i/2, asin((x/(5^(1/2)/2 + 1/2))^(1/2)), -(5^(1/2)/2 + 1/2)/(5^(1/2)/2 - 1/2)) - ellipticPi((5^(1/2)*1i)/2 + 1i/2, asin((x/(5^(1/2)/2 + 1/2))^(1/2)), -(5^(1/2)/2 + 1/2)/(5^(1/2)/2 - 1/2)))*1i)/(2*(x^3 - x^2 - x*(5^(1/2)/2 - 1/2)*(5^(1/2)/2 + 1/2))^(1/2))","B"
1411,1,226,101,0.842515,"\text{Not used}","int((x + x^2 - 1)/((x^2 + 1)*(x^3 - x^2 - x)^(1/2)),x)","\frac{\left(\sqrt{5}\,\left(2+1{}\mathrm{i}\right)+2+1{}\mathrm{i}\right)\,\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\,\sqrt{\frac{x+\frac{\sqrt{5}}{2}-\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}}\,\sqrt{\frac{\frac{\sqrt{5}}{2}-x+\frac{1}{2}}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\,\left(-2\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\right)\middle|-\frac{\frac{\sqrt{5}}{2}+\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}\right)+\Pi \left(-\frac{\sqrt{5}\,1{}\mathrm{i}}{2}-\frac{1}{2}{}\mathrm{i};\mathrm{asin}\left(\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\right)\middle|-\frac{\frac{\sqrt{5}}{2}+\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}\right)\,\left(2-\mathrm{i}\right)+\Pi \left(\frac{\sqrt{5}\,1{}\mathrm{i}}{2}+\frac{1}{2}{}\mathrm{i};\mathrm{asin}\left(\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\right)\middle|-\frac{\frac{\sqrt{5}}{2}+\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}\right)\,\left(2+1{}\mathrm{i}\right)\right)\,\left(-\frac{1}{5}+\frac{1}{10}{}\mathrm{i}\right)}{\sqrt{x^3-x^2-\left(\frac{\sqrt{5}}{2}-\frac{1}{2}\right)\,\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)\,x}}","Not used",1,"((5^(1/2)*(2 + 1i) + (2 + 1i))*(x/(5^(1/2)/2 + 1/2))^(1/2)*((x + 5^(1/2)/2 - 1/2)/(5^(1/2)/2 - 1/2))^(1/2)*((5^(1/2)/2 - x + 1/2)/(5^(1/2)/2 + 1/2))^(1/2)*(ellipticPi(- (5^(1/2)*1i)/2 - 1i/2, asin((x/(5^(1/2)/2 + 1/2))^(1/2)), -(5^(1/2)/2 + 1/2)/(5^(1/2)/2 - 1/2))*(2 - 1i) - 2*ellipticF(asin((x/(5^(1/2)/2 + 1/2))^(1/2)), -(5^(1/2)/2 + 1/2)/(5^(1/2)/2 - 1/2)) + ellipticPi((5^(1/2)*1i)/2 + 1i/2, asin((x/(5^(1/2)/2 + 1/2))^(1/2)), -(5^(1/2)/2 + 1/2)/(5^(1/2)/2 - 1/2))*(2 + 1i))*(- 1/5 + 1i/10))/(x^3 - x^2 - x*(5^(1/2)/2 - 1/2)*(5^(1/2)/2 + 1/2))^(1/2)","B"
1412,0,-1,101,0.000000,"\text{Not used}","int(x/(x^2 + x^3)^(1/3),x)","\int \frac{x}{{\left(x^3+x^2\right)}^{1/3}} \,d x","Not used",1,"int(x/(x^2 + x^3)^(1/3), x)","F"
1413,0,-1,101,0.000000,"\text{Not used}","int(1/(x^6*(x^2 + x^3)^(1/3)*(x^3 + 1)),x)","\int \frac{1}{x^6\,{\left(x^3+x^2\right)}^{1/3}\,\left(x^3+1\right)} \,d x","Not used",1,"int(1/(x^6*(x^2 + x^3)^(1/3)*(x^3 + 1)), x)","F"
1414,0,-1,101,0.000000,"\text{Not used}","int(1/(x^6*(x^2 + x^3)^(1/3)*(x^3 + 1)),x)","\int \frac{1}{x^6\,{\left(x^3+x^2\right)}^{1/3}\,\left(x^3+1\right)} \,d x","Not used",1,"int(1/(x^6*(x^2 + x^3)^(1/3)*(x^3 + 1)), x)","F"
1415,1,55,101,1.119816,"\text{Not used}","int(((x^3 - 1)^(1/3)*(2*x^3 - 1))/x^5,x)","\frac{{\left(x^3-1\right)}^{1/3}-x^3\,{\left(x^3-1\right)}^{1/3}}{4\,x^4}-\frac{2\,{\left(x^3-1\right)}^{1/3}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{3},-\frac{1}{3};\ \frac{2}{3};\ x^3\right)}{x\,{\left(1-x^3\right)}^{1/3}}","Not used",1,"((x^3 - 1)^(1/3) - x^3*(x^3 - 1)^(1/3))/(4*x^4) - (2*(x^3 - 1)^(1/3)*hypergeom([-1/3, -1/3], 2/3, x^3))/(x*(1 - x^3)^(1/3))","B"
1416,0,-1,101,0.000000,"\text{Not used}","int(((x^3 - 1)^(2/3)*(3*x^3 - 1))/(x^6*(2*x^3 - 1)),x)","\int \frac{{\left(x^3-1\right)}^{2/3}\,\left(3\,x^3-1\right)}{x^6\,\left(2\,x^3-1\right)} \,d x","Not used",1,"int(((x^3 - 1)^(2/3)*(3*x^3 - 1))/(x^6*(2*x^3 - 1)), x)","F"
1417,0,-1,101,0.000000,"\text{Not used}","int(x^4/((x^2 + x^4)^(1/4)*(x^4 - 1)^2),x)","\int \frac{x^4}{{\left(x^4+x^2\right)}^{1/4}\,{\left(x^4-1\right)}^2} \,d x","Not used",1,"int(x^4/((x^2 + x^4)^(1/4)*(x^4 - 1)^2), x)","F"
1418,0,-1,101,0.000000,"\text{Not used}","int(((x^3 + x^4)^(1/4)*(x^2 + 1))/(x^2*(x^2 - 1)),x)","\int \frac{{\left(x^4+x^3\right)}^{1/4}\,\left(x^2+1\right)}{x^2\,\left(x^2-1\right)} \,d x","Not used",1,"int(((x^3 + x^4)^(1/4)*(x^2 + 1))/(x^2*(x^2 - 1)), x)","F"
1419,0,-1,101,0.000000,"\text{Not used}","int(-((x^3 + 4)*(x^3 - x^4 + 1))/(x^2*(x^3 + 1)^(3/4)*(x^3 + x^4 + 1)),x)","\int -\frac{\left(x^3+4\right)\,\left(-x^4+x^3+1\right)}{x^2\,{\left(x^3+1\right)}^{3/4}\,\left(x^4+x^3+1\right)} \,d x","Not used",1,"int(-((x^3 + 4)*(x^3 - x^4 + 1))/(x^2*(x^3 + 1)^(3/4)*(x^3 + x^4 + 1)), x)","F"
1420,0,-1,101,0.000000,"\text{Not used}","int((x^2 + 2*x^4 + 1)/((x^2 + 1)^(1/4)*(3*x^2 + x^4 + 2)),x)","\int \frac{2\,x^4+x^2+1}{{\left(x^2+1\right)}^{1/4}\,\left(x^4+3\,x^2+2\right)} \,d x","Not used",1,"int((x^2 + 2*x^4 + 1)/((x^2 + 1)^(1/4)*(3*x^2 + x^4 + 2)), x)","F"
1421,1,91,101,1.361035,"\text{Not used}","int(-((b - a*x^2)*(a*x^4 - b*x^2)^(1/4))/x^2,x)","\frac{2\,a\,x\,{\left(a\,x^4-b\,x^2\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{4},\frac{3}{4};\ \frac{7}{4};\ \frac{a\,x^2}{b}\right)}{3\,{\left(1-\frac{a\,x^2}{b}\right)}^{1/4}}+\frac{2\,b\,{\left(a\,x^4-b\,x^2\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{4},-\frac{1}{4};\ \frac{3}{4};\ \frac{a\,x^2}{b}\right)}{x\,{\left(1-\frac{a\,x^2}{b}\right)}^{1/4}}","Not used",1,"(2*a*x*(a*x^4 - b*x^2)^(1/4)*hypergeom([-1/4, 3/4], 7/4, (a*x^2)/b))/(3*(1 - (a*x^2)/b)^(1/4)) + (2*b*(a*x^4 - b*x^2)^(1/4)*hypergeom([-1/4, -1/4], 3/4, (a*x^2)/b))/(x*(1 - (a*x^2)/b)^(1/4))","B"
1422,0,-1,101,0.000000,"\text{Not used}","int((b + a*x^4)/(x^4*(a*x^4 + b*x^2)^(1/4)*(2*b + a*x^4)),x)","\int \frac{a\,x^4+b}{x^4\,{\left(a\,x^4+b\,x^2\right)}^{1/4}\,\left(a\,x^4+2\,b\right)} \,d x","Not used",1,"int((b + a*x^4)/(x^4*(a*x^4 + b*x^2)^(1/4)*(2*b + a*x^4)), x)","F"
1423,0,-1,101,0.000000,"\text{Not used}","int((b + a*x^4)/(x^4*(a*x^4 + b*x^2)^(1/4)*(2*b + a*x^4)),x)","\int \frac{a\,x^4+b}{x^4\,{\left(a\,x^4+b\,x^2\right)}^{1/4}\,\left(a\,x^4+2\,b\right)} \,d x","Not used",1,"int((b + a*x^4)/(x^4*(a*x^4 + b*x^2)^(1/4)*(2*b + a*x^4)), x)","F"
1424,0,-1,101,0.000000,"\text{Not used}","int(-(x^4 - 1)/(x^2*(a + b*x + a*x^4 + b*x^3 + c*x^2)^(1/2)),x)","-\int \frac{x^4-1}{x^2\,\sqrt{a\,x^4+b\,x^3+c\,x^2+b\,x+a}} \,d x","Not used",1,"-int((x^4 - 1)/(x^2*(a + b*x + a*x^4 + b*x^3 + c*x^2)^(1/2)), x)","F"
1425,0,-1,101,0.000000,"\text{Not used}","int((x^2 - 1)/((x^2 + x^6)^(1/4)*(x^2 + 1)),x)","\int \frac{x^2-1}{{\left(x^6+x^2\right)}^{1/4}\,\left(x^2+1\right)} \,d x","Not used",1,"int((x^2 - 1)/((x^2 + x^6)^(1/4)*(x^2 + 1)), x)","F"
1426,0,-1,101,0.000000,"\text{Not used}","int((x^2 - 1)/((x^2 + x^6)^(1/4)*(x^2 + 1)),x)","\int \frac{x^2-1}{{\left(x^6+x^2\right)}^{1/4}\,\left(x^2+1\right)} \,d x","Not used",1,"int((x^2 - 1)/((x^2 + x^6)^(1/4)*(x^2 + 1)), x)","F"
1427,0,-1,101,0.000000,"\text{Not used}","int(((x^8 - 1)*(x^4 - x^3)^(1/4))/x^4,x)","\int \frac{\left(x^8-1\right)\,{\left(x^4-x^3\right)}^{1/4}}{x^4} \,d x","Not used",1,"int(((x^8 - 1)*(x^4 - x^3)^(1/4))/x^4, x)","F"
1428,0,-1,101,0.000000,"\text{Not used}","int(((x^4 + 1)^(1/4)*(x^4 + 2))/(x^2*(2*x^4 + x^8 - 1)),x)","\int \frac{{\left(x^4+1\right)}^{1/4}\,\left(x^4+2\right)}{x^2\,\left(x^8+2\,x^4-1\right)} \,d x","Not used",1,"int(((x^4 + 1)^(1/4)*(x^4 + 2))/(x^2*(2*x^4 + x^8 - 1)), x)","F"
1429,0,-1,101,0.000000,"\text{Not used}","int(((x^4 + 1)^(1/4)*(x^4 + 2))/(x^2*(2*x^4 + x^8 - 1)),x)","\int \frac{{\left(x^4+1\right)}^{1/4}\,\left(x^4+2\right)}{x^2\,\left(x^8+2\,x^4-1\right)} \,d x","Not used",1,"int(((x^4 + 1)^(1/4)*(x^4 + 2))/(x^2*(2*x^4 + x^8 - 1)), x)","F"
1430,0,-1,101,0.000000,"\text{Not used}","int((b - 2*a*x^4)/((a*x^4 - b)^(1/4)*(b - a*x^8)),x)","\int \frac{b-2\,a\,x^4}{{\left(a\,x^4-b\right)}^{1/4}\,\left(b-a\,x^8\right)} \,d x","Not used",1,"int((b - 2*a*x^4)/((a*x^4 - b)^(1/4)*(b - a*x^8)), x)","F"
1431,0,-1,101,0.000000,"\text{Not used}","int(((2*x^6 + 1)^(1/2)*(4*x^6 - 1))/(x^4 + 8*x^6 + 8*x^12 + 2),x)","\int \frac{\sqrt{2\,x^6+1}\,\left(4\,x^6-1\right)}{8\,x^{12}+8\,x^6+x^4+2} \,d x","Not used",1,"int(((2*x^6 + 1)^(1/2)*(4*x^6 - 1))/(x^4 + 8*x^6 + 8*x^12 + 2), x)","F"
1432,0,-1,101,0.000000,"\text{Not used}","int(((x^2 - 1)*((x + 1)^(1/2) + 1)^(1/2))/(x^2 + 1),x)","\int \frac{\left(x^2-1\right)\,\sqrt{\sqrt{x+1}+1}}{x^2+1} \,d x","Not used",1,"int(((x^2 - 1)*((x + 1)^(1/2) + 1)^(1/2))/(x^2 + 1), x)","F"
1433,0,-1,101,0.000000,"\text{Not used}","int(((x^2 - 1)*((x + 1)^(1/2) + 1)^(1/2))/(x^2 + 1),x)","\int \frac{\left(x^2-1\right)\,\sqrt{\sqrt{x+1}+1}}{x^2+1} \,d x","Not used",1,"int(((x^2 - 1)*((x + 1)^(1/2) + 1)^(1/2))/(x^2 + 1), x)","F"
1434,0,-1,101,0.000000,"\text{Not used}","int(x^2*((x^4 + 1)^(1/2) + x^2)^(1/2),x)","\int x^2\,\sqrt{\sqrt{x^4+1}+x^2} \,d x","Not used",1,"int(x^2*((x^4 + 1)^(1/2) + x^2)^(1/2), x)","F"
1435,0,-1,101,0.000000,"\text{Not used}","int(((x^4 - 1)*((x^4 + 1)^(1/2) + x^2)^(1/2))/(x^4 + 1)^(1/2),x)","\int \frac{\left(x^4-1\right)\,\sqrt{\sqrt{x^4+1}+x^2}}{\sqrt{x^4+1}} \,d x","Not used",1,"int(((x^4 - 1)*((x^4 + 1)^(1/2) + x^2)^(1/2))/(x^4 + 1)^(1/2), x)","F"
1436,0,-1,101,0.000000,"\text{Not used}","int((x^4 + 1)^(1/2)*((x^4 + 1)^(1/2) + x^2)^(1/2),x)","\int \sqrt{x^4+1}\,\sqrt{\sqrt{x^4+1}+x^2} \,d x","Not used",1,"int((x^4 + 1)^(1/2)*((x^4 + 1)^(1/2) + x^2)^(1/2), x)","F"
1437,0,-1,102,0.000000,"\text{Not used}","int(x^3*(x^3 - 1)^(2/3),x)","\int x^3\,{\left(x^3-1\right)}^{2/3} \,d x","Not used",1,"int(x^3*(x^3 - 1)^(2/3), x)","F"
1438,0,-1,102,0.000000,"\text{Not used}","int(x^4*(x^3 + 1)^(1/3),x)","\int x^4\,{\left(x^3+1\right)}^{1/3} \,d x","Not used",1,"int(x^4*(x^3 + 1)^(1/3), x)","F"
1439,0,-1,102,0.000000,"\text{Not used}","int(x^3*(x^3 + 1)^(2/3),x)","\int x^3\,{\left(x^3+1\right)}^{2/3} \,d x","Not used",1,"int(x^3*(x^3 + 1)^(2/3), x)","F"
1440,0,-1,102,0.000000,"\text{Not used}","int(((x^3 - 2)^(2/3)*(x^3 + 4))/(x^6*(x^3 - 1)),x)","\int \frac{{\left(x^3-2\right)}^{2/3}\,\left(x^3+4\right)}{x^6\,\left(x^3-1\right)} \,d x","Not used",1,"int(((x^3 - 2)^(2/3)*(x^3 + 4))/(x^6*(x^3 - 1)), x)","F"
1441,0,-1,102,0.000000,"\text{Not used}","int((3*b + a*x^2)/((b*x + a*x^3)^(1/4)*(b + a*x^2 + x^3)),x)","\int \frac{a\,x^2+3\,b}{{\left(a\,x^3+b\,x\right)}^{1/4}\,\left(x^3+a\,x^2+b\right)} \,d x","Not used",1,"int((3*b + a*x^2)/((b*x + a*x^3)^(1/4)*(b + a*x^2 + x^3)), x)","F"
1442,1,231,102,1.279060,"\text{Not used}","int(((x^4 + 1)^(1/3)*(x^4 - 3))/x^13,x)","\frac{\frac{5\,{\left(x^4+1\right)}^{1/3}}{36}+\frac{13\,{\left(x^4+1\right)}^{4/3}}{72}-\frac{5\,{\left(x^4+1\right)}^{7/3}}{72}}{{\left(x^4+1\right)}^3-3\,{\left(x^4+1\right)}^2+3\,x^4+2}-\frac{5\,\ln\left(\frac{25\,{\left(x^4+1\right)}^{1/3}}{1296}-\frac{25}{1296}\right)}{108}-\frac{\ln\left(\frac{{\left(x^4+1\right)}^{1/3}}{144}-\frac{1}{144}\right)}{36}+\frac{\frac{{\left(x^4+1\right)}^{1/3}}{12}+\frac{{\left(x^4+1\right)}^{4/3}}{24}}{2\,x^4-{\left(x^4+1\right)}^2+1}-\ln\left(\frac{{\left(x^4+1\right)}^{1/3}}{4}+\frac{1}{8}-\frac{\sqrt{3}\,1{}\mathrm{i}}{8}\right)\,\left(-\frac{1}{72}+\frac{\sqrt{3}\,1{}\mathrm{i}}{72}\right)+\ln\left(\frac{{\left(x^4+1\right)}^{1/3}}{4}+\frac{1}{8}+\frac{\sqrt{3}\,1{}\mathrm{i}}{8}\right)\,\left(\frac{1}{72}+\frac{\sqrt{3}\,1{}\mathrm{i}}{72}\right)-\ln\left(\frac{5\,{\left(x^4+1\right)}^{1/3}}{12}+\frac{5}{24}-\frac{\sqrt{3}\,5{}\mathrm{i}}{24}\right)\,\left(-\frac{5}{216}+\frac{\sqrt{3}\,5{}\mathrm{i}}{216}\right)+\ln\left(\frac{5\,{\left(x^4+1\right)}^{1/3}}{12}+\frac{5}{24}+\frac{\sqrt{3}\,5{}\mathrm{i}}{24}\right)\,\left(\frac{5}{216}+\frac{\sqrt{3}\,5{}\mathrm{i}}{216}\right)","Not used",1,"((5*(x^4 + 1)^(1/3))/36 + (13*(x^4 + 1)^(4/3))/72 - (5*(x^4 + 1)^(7/3))/72)/((x^4 + 1)^3 - 3*(x^4 + 1)^2 + 3*x^4 + 2) - (5*log((25*(x^4 + 1)^(1/3))/1296 - 25/1296))/108 - log((x^4 + 1)^(1/3)/144 - 1/144)/36 + ((x^4 + 1)^(1/3)/12 + (x^4 + 1)^(4/3)/24)/(2*x^4 - (x^4 + 1)^2 + 1) - log((x^4 + 1)^(1/3)/4 - (3^(1/2)*1i)/8 + 1/8)*((3^(1/2)*1i)/72 - 1/72) + log((3^(1/2)*1i)/8 + (x^4 + 1)^(1/3)/4 + 1/8)*((3^(1/2)*1i)/72 + 1/72) - log((5*(x^4 + 1)^(1/3))/12 - (3^(1/2)*5i)/24 + 5/24)*((3^(1/2)*5i)/216 - 5/216) + log((3^(1/2)*5i)/24 + (5*(x^4 + 1)^(1/3))/12 + 5/24)*((3^(1/2)*5i)/216 + 5/216)","B"
1443,0,-1,102,0.000000,"\text{Not used}","int(-(2*b - a*x^2)/((a*x^2 - b)^(1/4)*(a*x^2 - b + x^4)),x)","\int -\frac{2\,b-a\,x^2}{{\left(a\,x^2-b\right)}^{1/4}\,\left(x^4+a\,x^2-b\right)} \,d x","Not used",1,"int(-(2*b - a*x^2)/((a*x^2 - b)^(1/4)*(a*x^2 - b + x^4)), x)","F"
1444,0,-1,102,0.000000,"\text{Not used}","int(-(4*b - a*x^3)/((a*x^3 - b)^(1/4)*(a*x^3 - b + x^4)),x)","\int -\frac{4\,b-a\,x^3}{{\left(a\,x^3-b\right)}^{1/4}\,\left(x^4+a\,x^3-b\right)} \,d x","Not used",1,"int(-(4*b - a*x^3)/((a*x^3 - b)^(1/4)*(a*x^3 - b + x^4)), x)","F"
1445,0,-1,102,0.000000,"\text{Not used}","int((b + a*x^2)/((a*x^4 - b*x^2)^(1/4)*(b - a*x^2 + x^4)),x)","\int \frac{a\,x^2+b}{{\left(a\,x^4-b\,x^2\right)}^{1/4}\,\left(x^4-a\,x^2+b\right)} \,d x","Not used",1,"int((b + a*x^2)/((a*x^4 - b*x^2)^(1/4)*(b - a*x^2 + x^4)), x)","F"
1446,0,-1,102,0.000000,"\text{Not used}","int((b + a*x^2)/((a*x^4 - b*x^2)^(1/4)*(b - a*x^2 + x^4)),x)","\int \frac{a\,x^2+b}{{\left(a\,x^4-b\,x^2\right)}^{1/4}\,\left(x^4-a\,x^2+b\right)} \,d x","Not used",1,"int((b + a*x^2)/((a*x^4 - b*x^2)^(1/4)*(b - a*x^2 + x^4)), x)","F"
1447,0,-1,102,0.000000,"\text{Not used}","int(-(b + a*x^4)/(x^4*(a*x^4 + b*x^2)^(1/4)*(2*b - a*x^4)),x)","-\int \frac{a\,x^4+b}{x^4\,{\left(a\,x^4+b\,x^2\right)}^{1/4}\,\left(2\,b-a\,x^4\right)} \,d x","Not used",1,"-int((b + a*x^4)/(x^4*(a*x^4 + b*x^2)^(1/4)*(2*b - a*x^4)), x)","F"
1448,0,-1,102,0.000000,"\text{Not used}","int(-(b + a*x^4)/(x^4*(a*x^4 + b*x^2)^(1/4)*(2*b - a*x^4)),x)","-\int \frac{a\,x^4+b}{x^4\,{\left(a\,x^4+b\,x^2\right)}^{1/4}\,\left(2\,b-a\,x^4\right)} \,d x","Not used",1,"-int((b + a*x^4)/(x^4*(a*x^4 + b*x^2)^(1/4)*(2*b - a*x^4)), x)","F"
1449,0,-1,102,0.000000,"\text{Not used}","int(((x^3 - 1)*(x^3 + 1)^3*(x^6 + 1)^(2/3))/(x^6*(x^6 - x^3 + 1)),x)","\int \frac{\left(x^3-1\right)\,{\left(x^3+1\right)}^3\,{\left(x^6+1\right)}^{2/3}}{x^6\,\left(x^6-x^3+1\right)} \,d x","Not used",1,"int(((x^3 - 1)*(x^3 + 1)^3*(x^6 + 1)^(2/3))/(x^6*(x^6 - x^3 + 1)), x)","F"
1450,0,-1,102,0.000000,"\text{Not used}","int(-((x^6 - 1)^(2/3)*(x^6 + 1)*(x^3 + 2*x^6 - 2))/(x^6*(x^3 - x^6 + 1)),x)","\int -\frac{{\left(x^6-1\right)}^{2/3}\,\left(x^6+1\right)\,\left(2\,x^6+x^3-2\right)}{x^6\,\left(-x^6+x^3+1\right)} \,d x","Not used",1,"int(-((x^6 - 1)^(2/3)*(x^6 + 1)*(x^3 + 2*x^6 - 2))/(x^6*(x^3 - x^6 + 1)), x)","F"
1451,0,-1,102,0.000000,"\text{Not used}","int(1/((b + a*x^4)^(1/4)*(a*x^4 - b + x^8)),x)","\int \frac{1}{{\left(a\,x^4+b\right)}^{1/4}\,\left(x^8+a\,x^4-b\right)} \,d x","Not used",1,"int(1/((b + a*x^4)^(1/4)*(a*x^4 - b + x^8)), x)","F"
1452,0,-1,102,0.000000,"\text{Not used}","int(1/((b + a*x^4)^(1/4)*(a*x^4 - b + x^8)),x)","\int \frac{1}{{\left(a\,x^4+b\right)}^{1/4}\,\left(x^8+a\,x^4-b\right)} \,d x","Not used",1,"int(1/((b + a*x^4)^(1/4)*(a*x^4 - b + x^8)), x)","F"
1453,0,-1,102,0.000000,"\text{Not used}","int(-(b - a*x^4)/((a*x^4 - b*x^2)^(1/4)*(2*a*x^4 - b + 2*x^8)),x)","\int -\frac{b-a\,x^4}{{\left(a\,x^4-b\,x^2\right)}^{1/4}\,\left(2\,x^8+2\,a\,x^4-b\right)} \,d x","Not used",1,"int(-(b - a*x^4)/((a*x^4 - b*x^2)^(1/4)*(2*a*x^4 - b + 2*x^8)), x)","F"
1454,0,-1,102,0.000000,"\text{Not used}","int(-(b - a*x^4)/((a*x^4 - b*x^2)^(1/4)*(2*a*x^4 - b + 2*x^8)),x)","\int -\frac{b-a\,x^4}{{\left(a\,x^4-b\,x^2\right)}^{1/4}\,\left(2\,x^8+2\,a\,x^4-b\right)} \,d x","Not used",1,"int(-(b - a*x^4)/((a*x^4 - b*x^2)^(1/4)*(2*a*x^4 - b + 2*x^8)), x)","F"
1455,0,-1,102,0.000000,"\text{Not used}","int((c*x^2 - x*(a*x^2 - b*x)^(1/2))^(1/2)/x^3,x)","\int \frac{\sqrt{c\,x^2-x\,\sqrt{a\,x^2-b\,x}}}{x^3} \,d x","Not used",1,"int((c*x^2 - x*(a*x^2 - b*x)^(1/2))^(1/2)/x^3, x)","F"
1456,0,-1,102,0.000000,"\text{Not used}","int(x/(x + (x + (x^2 + 1)^(1/2))^(1/2)),x)","\int \frac{x}{x+\sqrt{x+\sqrt{x^2+1}}} \,d x","Not used",1,"int(x/(x + (x + (x^2 + 1)^(1/2))^(1/2)), x)","F"
1457,0,-1,102,0.000000,"\text{Not used}","int(x/(x + (x + (x^2 + 1)^(1/2))^(1/2)),x)","\int \frac{x}{x+\sqrt{x+\sqrt{x^2+1}}} \,d x","Not used",1,"int(x/(x + (x + (x^2 + 1)^(1/2))^(1/2)), x)","F"
1458,1,220,103,0.213143,"\text{Not used}","int((x + 1)/((x^3 + 1)^(1/2)*(2*x + x^2 - 2)),x)","-\frac{\left(\Pi \left(\sqrt{3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right);\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)-\Pi \left(-\sqrt{3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right);\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\left(\sqrt{3}+1{}\mathrm{i}\right)\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}}{2\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"-((ellipticPi(3^(1/2)*((3^(1/2)*1i)/6 + 1/2), asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)) - ellipticPi(-3^(1/2)*((3^(1/2)*1i)/6 + 1/2), asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(3^(1/2) + 1i)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2))/(2*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2))","B"
1459,1,505,103,0.080198,"\text{Not used}","int((x + x^2 + 3)/((x^3 + 1)^(1/2)*(2*x + x^2 - 2)),x)","\frac{2\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}+\frac{\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\left(\sqrt{3}-6\right)\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{\sqrt{3}\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{3};\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{3\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}-\frac{\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\left(\sqrt{3}+6\right)\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(-\frac{\sqrt{3}\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{3};\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{3\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(2*((3^(1/2)*1i)/2 + 3/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticF(asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2) + (((3^(1/2)*1i)/2 + 3/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(3^(1/2) - 6)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi((3^(1/2)*((3^(1/2)*1i)/2 + 3/2))/3, asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(3*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2)) - (((3^(1/2)*1i)/2 + 3/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(3^(1/2) + 6)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi(-(3^(1/2)*((3^(1/2)*1i)/2 + 3/2))/3, asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(3*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2))","B"
1460,1,509,103,0.839468,"\text{Not used}","int((2*x^2 - x + 3)/((x^3 + 1)^(1/2)*(2*x + x^2 - 2)),x)","\frac{4\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}+\frac{\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(5\,\sqrt{3}-12\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{\sqrt{3}\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{3};\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{3\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}-\frac{\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(5\,\sqrt{3}+12\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(-\frac{\sqrt{3}\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{3};\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{3\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(4*((3^(1/2)*1i)/2 + 3/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticF(asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2) + (((3^(1/2)*1i)/2 + 3/2)*(5*3^(1/2) - 12)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi((3^(1/2)*((3^(1/2)*1i)/2 + 3/2))/3, asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(3*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2)) - (((3^(1/2)*1i)/2 + 3/2)*(5*3^(1/2) + 12)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi(-(3^(1/2)*((3^(1/2)*1i)/2 + 3/2))/3, asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(3*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2))","B"
1461,0,-1,103,0.000000,"\text{Not used}","int(((x^3 - 1)^(2/3)*(x^3 + 1))/x^3,x)","\int \frac{{\left(x^3-1\right)}^{2/3}\,\left(x^3+1\right)}{x^3} \,d x","Not used",1,"int(((x^3 - 1)^(2/3)*(x^3 + 1))/x^3, x)","F"
1462,0,-1,103,0.000000,"\text{Not used}","int(x^8*(b + a*x^4)^(3/4),x)","\int x^8\,{\left(a\,x^4+b\right)}^{3/4} \,d x","Not used",1,"int(x^8*(b + a*x^4)^(3/4), x)","F"
1463,0,-1,103,0.000000,"\text{Not used}","int(-1/((b*x + a*x^4)^(1/4)*(b - a*x^3)),x)","-\int \frac{1}{{\left(a\,x^4+b\,x\right)}^{1/4}\,\left(b-a\,x^3\right)} \,d x","Not used",1,"-int(1/((b*x + a*x^4)^(1/4)*(b - a*x^3)), x)","F"
1464,0,-1,103,0.000000,"\text{Not used}","int(((x^3 + 1)^(2/3)*(x^3 - 2))/(x^3*(x^3 + 2*x^6 - 2)),x)","\int \frac{{\left(x^3+1\right)}^{2/3}\,\left(x^3-2\right)}{x^3\,\left(2\,x^6+x^3-2\right)} \,d x","Not used",1,"int(((x^3 + 1)^(2/3)*(x^3 - 2))/(x^3*(x^3 + 2*x^6 - 2)), x)","F"
1465,0,-1,103,0.000000,"\text{Not used}","int(((x^3 + 1)^(2/3)*(x^3 - 2))/(x^3*(x^3 + 2*x^6 - 2)),x)","\int \frac{{\left(x^3+1\right)}^{2/3}\,\left(x^3-2\right)}{x^3\,\left(2\,x^6+x^3-2\right)} \,d x","Not used",1,"int(((x^3 + 1)^(2/3)*(x^3 - 2))/(x^3*(x^3 + 2*x^6 - 2)), x)","F"
1466,0,-1,103,0.000000,"\text{Not used}","int((x^2*(x^4 - 2))/((x^5 - x)^(1/3)*(x^4 + x^8 - 1)),x)","\int \frac{x^2\,\left(x^4-2\right)}{{\left(x^5-x\right)}^{1/3}\,\left(x^8+x^4-1\right)} \,d x","Not used",1,"int((x^2*(x^4 - 2))/((x^5 - x)^(1/3)*(x^4 + x^8 - 1)), x)","F"
1467,0,-1,103,0.000000,"\text{Not used}","int((b - 2*a*x^4)/((a*x^4 - b)^(1/4)*(b + a*x^4 - x^8)),x)","\int \frac{b-2\,a\,x^4}{{\left(a\,x^4-b\right)}^{1/4}\,\left(-x^8+a\,x^4+b\right)} \,d x","Not used",1,"int((b - 2*a*x^4)/((a*x^4 - b)^(1/4)*(b + a*x^4 - x^8)), x)","F"
1468,0,-1,103,0.000000,"\text{Not used}","int(-(2*b - a*x^4)/((b + a*x^4)^(1/4)*(a*x^4 - 2*b + x^8)),x)","\int -\frac{2\,b-a\,x^4}{{\left(a\,x^4+b\right)}^{1/4}\,\left(x^8+a\,x^4-2\,b\right)} \,d x","Not used",1,"int(-(2*b - a*x^4)/((b + a*x^4)^(1/4)*(a*x^4 - 2*b + x^8)), x)","F"
1469,0,-1,103,0.000000,"\text{Not used}","int(1/(x^2*(a*x + (b^2 + a^2*x^2)^(1/2))^(1/2)),x)","\int \frac{1}{x^2\,\sqrt{a\,x+\sqrt{a^2\,x^2+b^2}}} \,d x","Not used",1,"int(1/(x^2*(a*x + (b^2 + a^2*x^2)^(1/2))^(1/2)), x)","F"
1470,1,124,104,0.986124,"\text{Not used}","int((x^3 - 1)^(1/3)/x^10,x)","\frac{5\,\ln\left(\frac{25\,{\left(x^3-1\right)}^{1/3}}{6561}+\frac{25}{6561}\right)}{243}+\frac{\frac{13\,{\left(x^3-1\right)}^{4/3}}{162}-\frac{5\,{\left(x^3-1\right)}^{1/3}}{81}+\frac{5\,{\left(x^3-1\right)}^{7/3}}{162}}{3\,{\left(x^3-1\right)}^2+{\left(x^3-1\right)}^3+3\,x^3-2}-\ln\left(\frac{5}{54}-\frac{5\,{\left(x^3-1\right)}^{1/3}}{27}+\frac{\sqrt{3}\,5{}\mathrm{i}}{54}\right)\,\left(\frac{5}{486}+\frac{\sqrt{3}\,5{}\mathrm{i}}{486}\right)+\ln\left(\frac{5\,{\left(x^3-1\right)}^{1/3}}{27}-\frac{5}{54}+\frac{\sqrt{3}\,5{}\mathrm{i}}{54}\right)\,\left(-\frac{5}{486}+\frac{\sqrt{3}\,5{}\mathrm{i}}{486}\right)","Not used",1,"(5*log((25*(x^3 - 1)^(1/3))/6561 + 25/6561))/243 + ((13*(x^3 - 1)^(4/3))/162 - (5*(x^3 - 1)^(1/3))/81 + (5*(x^3 - 1)^(7/3))/162)/(3*(x^3 - 1)^2 + (x^3 - 1)^3 + 3*x^3 - 2) - log((3^(1/2)*5i)/54 - (5*(x^3 - 1)^(1/3))/27 + 5/54)*((3^(1/2)*5i)/486 + 5/486) + log((3^(1/2)*5i)/54 + (5*(x^3 - 1)^(1/3))/27 - 5/54)*((3^(1/2)*5i)/486 - 5/486)","B"
1471,0,-1,104,0.000000,"\text{Not used}","int(x^4*(x^3 - 1)^(1/3),x)","\int x^4\,{\left(x^3-1\right)}^{1/3} \,d x","Not used",1,"int(x^4*(x^3 - 1)^(1/3), x)","F"
1472,1,29,104,0.934383,"\text{Not used}","int((x^3 - x)^(1/3),x)","\frac{3\,x\,{\left(x^3-x\right)}^{1/3}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{3},\frac{2}{3};\ \frac{5}{3};\ x^2\right)}{4\,{\left(1-x^2\right)}^{1/3}}","Not used",1,"(3*x*(x^3 - x)^(1/3)*hypergeom([-1/3, 2/3], 5/3, x^2))/(4*(1 - x^2)^(1/3))","B"
1473,1,231,104,1.375627,"\text{Not used}","int(((x^3 - 1)^(1/3)*(2*x^3 - 1))/x^10,x)","\frac{2\,\ln\left(\frac{4\,{\left(x^3-1\right)}^{1/3}}{81}+\frac{4}{81}\right)}{27}-\frac{5\,\ln\left(\frac{25\,{\left(x^3-1\right)}^{1/3}}{6561}+\frac{25}{6561}\right)}{243}-\frac{\frac{13\,{\left(x^3-1\right)}^{4/3}}{162}-\frac{5\,{\left(x^3-1\right)}^{1/3}}{81}+\frac{5\,{\left(x^3-1\right)}^{7/3}}{162}}{3\,{\left(x^3-1\right)}^2+{\left(x^3-1\right)}^3+3\,x^3-2}-\frac{\frac{2\,{\left(x^3-1\right)}^{1/3}}{9}-\frac{{\left(x^3-1\right)}^{4/3}}{9}}{{\left(x^3-1\right)}^2+2\,x^3-1}-\ln\left(\frac{1}{3}-\frac{2\,{\left(x^3-1\right)}^{1/3}}{3}+\frac{\sqrt{3}\,1{}\mathrm{i}}{3}\right)\,\left(\frac{1}{27}+\frac{\sqrt{3}\,1{}\mathrm{i}}{27}\right)+\ln\left(\frac{2\,{\left(x^3-1\right)}^{1/3}}{3}-\frac{1}{3}+\frac{\sqrt{3}\,1{}\mathrm{i}}{3}\right)\,\left(-\frac{1}{27}+\frac{\sqrt{3}\,1{}\mathrm{i}}{27}\right)+\ln\left(\frac{5}{54}-\frac{5\,{\left(x^3-1\right)}^{1/3}}{27}+\frac{\sqrt{3}\,5{}\mathrm{i}}{54}\right)\,\left(\frac{5}{486}+\frac{\sqrt{3}\,5{}\mathrm{i}}{486}\right)-\ln\left(\frac{5\,{\left(x^3-1\right)}^{1/3}}{27}-\frac{5}{54}+\frac{\sqrt{3}\,5{}\mathrm{i}}{54}\right)\,\left(-\frac{5}{486}+\frac{\sqrt{3}\,5{}\mathrm{i}}{486}\right)","Not used",1,"(2*log((4*(x^3 - 1)^(1/3))/81 + 4/81))/27 - (5*log((25*(x^3 - 1)^(1/3))/6561 + 25/6561))/243 - ((13*(x^3 - 1)^(4/3))/162 - (5*(x^3 - 1)^(1/3))/81 + (5*(x^3 - 1)^(7/3))/162)/(3*(x^3 - 1)^2 + (x^3 - 1)^3 + 3*x^3 - 2) - ((2*(x^3 - 1)^(1/3))/9 - (x^3 - 1)^(4/3)/9)/((x^3 - 1)^2 + 2*x^3 - 1) - log((3^(1/2)*1i)/3 - (2*(x^3 - 1)^(1/3))/3 + 1/3)*((3^(1/2)*1i)/27 + 1/27) + log((3^(1/2)*1i)/3 + (2*(x^3 - 1)^(1/3))/3 - 1/3)*((3^(1/2)*1i)/27 - 1/27) + log((3^(1/2)*5i)/54 - (5*(x^3 - 1)^(1/3))/27 + 5/54)*((3^(1/2)*5i)/486 + 5/486) - log((3^(1/2)*5i)/54 + (5*(x^3 - 1)^(1/3))/27 - 5/54)*((3^(1/2)*5i)/486 - 5/486)","B"
1474,-1,-1,104,0.000000,"\text{Not used}","int((k^3*x^3 + 1)/((k^3*x^3 - 1)*(x*(k^2*x - 1)*(x - 1))^(1/2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
1475,0,-1,104,0.000000,"\text{Not used}","int(((x^4 + 1)^(2/3)*(x^4 - 3)*(2*x^3 + x^4 + 1))/(x^6*(x^4 - x^3 + 1)),x)","\int \frac{{\left(x^4+1\right)}^{2/3}\,\left(x^4-3\right)\,\left(x^4+2\,x^3+1\right)}{x^6\,\left(x^4-x^3+1\right)} \,d x","Not used",1,"int(((x^4 + 1)^(2/3)*(x^4 - 3)*(2*x^3 + x^4 + 1))/(x^6*(x^4 - x^3 + 1)), x)","F"
1476,0,-1,104,0.000000,"\text{Not used}","int((b + a*x^4)^(3/4)/(x^4*(2*b + a*x^4)),x)","\int \frac{{\left(a\,x^4+b\right)}^{3/4}}{x^4\,\left(a\,x^4+2\,b\right)} \,d x","Not used",1,"int((b + a*x^4)^(3/4)/(x^4*(2*b + a*x^4)), x)","F"
1477,1,60,104,1.206984,"\text{Not used}","int(-(b - a*x^3)/(x^3*(a*x^4 - b*x)^(1/4)),x)","\frac{4\,a\,x\,{\left(1-\frac{a\,x^3}{b}\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{1}{4};\ \frac{5}{4};\ \frac{a\,x^3}{b}\right)}{3\,{\left(a\,x^4-b\,x\right)}^{1/4}}-\frac{4\,{\left(a\,x^4-b\,x\right)}^{3/4}}{9\,x^3}","Not used",1,"(4*a*x*(1 - (a*x^3)/b)^(1/4)*hypergeom([1/4, 1/4], 5/4, (a*x^3)/b))/(3*(a*x^4 - b*x)^(1/4)) - (4*(a*x^4 - b*x)^(3/4))/(9*x^3)","B"
1478,1,60,104,0.960898,"\text{Not used}","int((b + a*x^3)/(x^3*(a*x^4 - b*x)^(1/4)),x)","\frac{4\,{\left(a\,x^4-b\,x\right)}^{3/4}}{9\,x^3}+\frac{4\,a\,x\,{\left(1-\frac{a\,x^3}{b}\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{1}{4};\ \frac{5}{4};\ \frac{a\,x^3}{b}\right)}{3\,{\left(a\,x^4-b\,x\right)}^{1/4}}","Not used",1,"(4*(a*x^4 - b*x)^(3/4))/(9*x^3) + (4*a*x*(1 - (a*x^3)/b)^(1/4)*hypergeom([1/4, 1/4], 5/4, (a*x^3)/b))/(3*(a*x^4 - b*x)^(1/4))","B"
1479,0,-1,104,0.000000,"\text{Not used}","int((a*x^4 - b*x)^(1/4)/x^2,x)","\int \frac{{\left(a\,x^4-b\,x\right)}^{1/4}}{x^2} \,d x","Not used",1,"int((a*x^4 - b*x)^(1/4)/x^2, x)","F"
1480,0,-1,104,0.000000,"\text{Not used}","int(1/((a*x^4 - b*x^2)^(1/4)*(b - a*x^2 + x^4)),x)","\int \frac{1}{{\left(a\,x^4-b\,x^2\right)}^{1/4}\,\left(x^4-a\,x^2+b\right)} \,d x","Not used",1,"int(1/((a*x^4 - b*x^2)^(1/4)*(b - a*x^2 + x^4)), x)","F"
1481,0,-1,104,0.000000,"\text{Not used}","int(1/((a*x^4 - b*x^2)^(1/4)*(b - a*x^2 + x^4)),x)","\int \frac{1}{{\left(a\,x^4-b\,x^2\right)}^{1/4}\,\left(x^4-a\,x^2+b\right)} \,d x","Not used",1,"int(1/((a*x^4 - b*x^2)^(1/4)*(b - a*x^2 + x^4)), x)","F"
1482,1,60,104,1.174192,"\text{Not used}","int(-(b - a*x^4)/(x^4*(2*a*x^4 - b)^(1/4)),x)","\frac{a\,x\,{\left(1-\frac{2\,a\,x^4}{b}\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{1}{4};\ \frac{5}{4};\ \frac{2\,a\,x^4}{b}\right)}{{\left(2\,a\,x^4-b\right)}^{1/4}}-\frac{{\left(2\,a\,x^4-b\right)}^{3/4}}{3\,x^3}","Not used",1,"(a*x*(1 - (2*a*x^4)/b)^(1/4)*hypergeom([1/4, 1/4], 5/4, (2*a*x^4)/b))/(2*a*x^4 - b)^(1/4) - (2*a*x^4 - b)^(3/4)/(3*x^3)","B"
1483,0,-1,104,0.000000,"\text{Not used}","int((x^4*(4*b + a*x^5))/((b - a*x^5)^2*(a*x^5 - b + c*x^4)^(1/4)),x)","\int \frac{x^4\,\left(a\,x^5+4\,b\right)}{{\left(b-a\,x^5\right)}^2\,{\left(a\,x^5+c\,x^4-b\right)}^{1/4}} \,d x","Not used",1,"int((x^4*(4*b + a*x^5))/((b - a*x^5)^2*(a*x^5 - b + c*x^4)^(1/4)), x)","F"
1484,1,134,104,1.062320,"\text{Not used}","int(1/(x^19*(x^6 - 1)^(1/3)),x)","\frac{\frac{67\,{\left(x^6-1\right)}^{2/3}}{324}+\frac{77\,{\left(x^6-1\right)}^{5/3}}{324}+\frac{7\,{\left(x^6-1\right)}^{8/3}}{81}}{3\,{\left(x^6-1\right)}^2+{\left(x^6-1\right)}^3+3\,x^6-2}-\ln\left(9\,{\left(-\frac{7}{486}+\frac{\sqrt{3}\,7{}\mathrm{i}}{486}\right)}^2+\frac{49\,{\left(x^6-1\right)}^{1/3}}{6561}\right)\,\left(-\frac{7}{486}+\frac{\sqrt{3}\,7{}\mathrm{i}}{486}\right)+\ln\left(9\,{\left(\frac{7}{486}+\frac{\sqrt{3}\,7{}\mathrm{i}}{486}\right)}^2+\frac{49\,{\left(x^6-1\right)}^{1/3}}{6561}\right)\,\left(\frac{7}{486}+\frac{\sqrt{3}\,7{}\mathrm{i}}{486}\right)-\frac{7\,\ln\left(\frac{49\,{\left(x^6-1\right)}^{1/3}}{6561}+\frac{49}{6561}\right)}{243}","Not used",1,"log(9*((3^(1/2)*7i)/486 + 7/486)^2 + (49*(x^6 - 1)^(1/3))/6561)*((3^(1/2)*7i)/486 + 7/486) - log(9*((3^(1/2)*7i)/486 - 7/486)^2 + (49*(x^6 - 1)^(1/3))/6561)*((3^(1/2)*7i)/486 - 7/486) - (7*log((49*(x^6 - 1)^(1/3))/6561 + 49/6561))/243 + ((67*(x^6 - 1)^(2/3))/324 + (77*(x^6 - 1)^(5/3))/324 + (7*(x^6 - 1)^(8/3))/81)/(3*(x^6 - 1)^2 + (x^6 - 1)^3 + 3*x^6 - 2)","B"
1485,0,-1,104,0.000000,"\text{Not used}","int(x^7/(x^6 - 1)^(1/3),x)","\int \frac{x^7}{{\left(x^6-1\right)}^{1/3}} \,d x","Not used",1,"int(x^7/(x^6 - 1)^(1/3), x)","F"
1486,0,-1,104,0.000000,"\text{Not used}","int(x^3*(x^6 - 1)^(1/3),x)","\int x^3\,{\left(x^6-1\right)}^{1/3} \,d x","Not used",1,"int(x^3*(x^6 - 1)^(1/3), x)","F"
1487,0,-1,104,0.000000,"\text{Not used}","int(x*(x^6 - 1)^(2/3),x)","\int x\,{\left(x^6-1\right)}^{2/3} \,d x","Not used",1,"int(x*(x^6 - 1)^(2/3), x)","F"
1488,0,-1,104,0.000000,"\text{Not used}","int(x^7/(x^6 + 1)^(1/3),x)","\int \frac{x^7}{{\left(x^6+1\right)}^{1/3}} \,d x","Not used",1,"int(x^7/(x^6 + 1)^(1/3), x)","F"
1489,0,-1,104,0.000000,"\text{Not used}","int(x^3*(x^6 + 1)^(1/3),x)","\int x^3\,{\left(x^6+1\right)}^{1/3} \,d x","Not used",1,"int(x^3*(x^6 + 1)^(1/3), x)","F"
1490,0,-1,104,0.000000,"\text{Not used}","int(x*(x^6 + 1)^(2/3),x)","\int x\,{\left(x^6+1\right)}^{2/3} \,d x","Not used",1,"int(x*(x^6 + 1)^(2/3), x)","F"
1491,0,-1,104,0.000000,"\text{Not used}","int(((2*x^5 - 3)*(x^5 - x^3 + 1))/(x^3*(x + x^6)^(1/4)*(x^3 + x^5 + 1)),x)","\int \frac{\left(2\,x^5-3\right)\,\left(x^5-x^3+1\right)}{x^3\,{\left(x^6+x\right)}^{1/4}\,\left(x^5+x^3+1\right)} \,d x","Not used",1,"int(((2*x^5 - 3)*(x^5 - x^3 + 1))/(x^3*(x + x^6)^(1/4)*(x^3 + x^5 + 1)), x)","F"
1492,1,33,104,1.118487,"\text{Not used}","int(x/(x^6 - x^2)^(1/3),x)","\frac{3\,x^2\,{\left(1-x^4\right)}^{1/3}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{3},\frac{1}{3};\ \frac{4}{3};\ x^4\right)}{4\,{\left(x^6-x^2\right)}^{1/3}}","Not used",1,"(3*x^2*(1 - x^4)^(1/3)*hypergeom([1/3, 1/3], 4/3, x^4))/(4*(x^6 - x^2)^(1/3))","B"
1493,0,-1,104,0.000000,"\text{Not used}","int(((x^3 - 1)^(2/3)*(x^3 + 2))/(x^3*(x^3 + x^6 - 4)),x)","\int \frac{{\left(x^3-1\right)}^{2/3}\,\left(x^3+2\right)}{x^3\,\left(x^6+x^3-4\right)} \,d x","Not used",1,"int(((x^3 - 1)^(2/3)*(x^3 + 2))/(x^3*(x^3 + x^6 - 4)), x)","F"
1494,0,-1,104,0.000000,"\text{Not used}","int(((x^3 - 1)^(2/3)*(x^3 + 2))/(x^3*(x^3 + x^6 - 4)),x)","\int \frac{{\left(x^3-1\right)}^{2/3}\,\left(x^3+2\right)}{x^3\,\left(x^6+x^3-4\right)} \,d x","Not used",1,"int(((x^3 - 1)^(2/3)*(x^3 + 2))/(x^3*(x^3 + x^6 - 4)), x)","F"
1495,0,-1,104,0.000000,"\text{Not used}","int(((2*x - 3)*(x^3 - x + 1)^(2/3))/(x^2 - 2*x + 2*x^3 - 2*x^4 + 2*x^6 + 1),x)","\int \frac{\left(2\,x-3\right)\,{\left(x^3-x+1\right)}^{2/3}}{2\,x^6-2\,x^4+2\,x^3+x^2-2\,x+1} \,d x","Not used",1,"int(((2*x - 3)*(x^3 - x + 1)^(2/3))/(x^2 - 2*x + 2*x^3 - 2*x^4 + 2*x^6 + 1), x)","F"
1496,0,-1,104,0.000000,"\text{Not used}","int(-((x^6 - 2)*(x^6 + 4)*(2*x^4 + x^6 - 2)^(1/4))/(x^6*(x^4 - 2*x^6 + 4)),x)","\int -\frac{\left(x^6-2\right)\,\left(x^6+4\right)\,{\left(x^6+2\,x^4-2\right)}^{1/4}}{x^6\,\left(-2\,x^6+x^4+4\right)} \,d x","Not used",1,"int(-((x^6 - 2)*(x^6 + 4)*(2*x^4 + x^6 - 2)^(1/4))/(x^6*(x^4 - 2*x^6 + 4)), x)","F"
1497,0,-1,104,0.000000,"\text{Not used}","int(((x^3 + 1)^(2/3)*(3*x^6 - 1))/(x^9*(2*x^3 + 1)),x)","\int \frac{{\left(x^3+1\right)}^{2/3}\,\left(3\,x^6-1\right)}{x^9\,\left(2\,x^3+1\right)} \,d x","Not used",1,"int(((x^3 + 1)^(2/3)*(3*x^6 - 1))/(x^9*(2*x^3 + 1)), x)","F"
1498,0,-1,104,0.000000,"\text{Not used}","int(((1 - x^4)^(1/2)*(x^4 + 1))/(x^8 - x^4 + 1),x)","\int \frac{\sqrt{1-x^4}\,\left(x^4+1\right)}{x^8-x^4+1} \,d x","Not used",1,"int(((1 - x^4)^(1/2)*(x^4 + 1))/(x^8 - x^4 + 1), x)","F"
1499,0,-1,104,0.000000,"\text{Not used}","int(-x^2/((b^2 - a^2*x^8)*(b + a*x^4)^(3/4)),x)","-\int \frac{x^2}{\left(b^2-a^2\,x^8\right)\,{\left(a\,x^4+b\right)}^{3/4}} \,d x","Not used",1,"-int(x^2/((b^2 - a^2*x^8)*(b + a*x^4)^(3/4)), x)","F"
1500,0,-1,104,0.000000,"\text{Not used}","int(((x^2 + 1)^(1/2) + 1)^(1/2)/(x + (x^2 + 1)^(1/2)),x)","\int \frac{\sqrt{\sqrt{x^2+1}+1}}{x+\sqrt{x^2+1}} \,d x","Not used",1,"int(((x^2 + 1)^(1/2) + 1)^(1/2)/(x + (x^2 + 1)^(1/2)), x)","F"
1501,0,-1,105,0.000000,"\text{Not used}","int((x + 2)^2/(x*(x^2 - 2*x + 4)*(x + x^2 + 1)^(1/3)),x)","\int \frac{{\left(x+2\right)}^2}{x\,\left(x^2-2\,x+4\right)\,{\left(x^2+x+1\right)}^{1/3}} \,d x","Not used",1,"int((x + 2)^2/(x*(x^2 - 2*x + 4)*(x + x^2 + 1)^(1/3)), x)","F"
1502,0,-1,105,0.000000,"\text{Not used}","int(-1/((a*x^2 - b)^(1/4)*(2*b - a*x^2)),x)","-\int \frac{1}{{\left(a\,x^2-b\right)}^{1/4}\,\left(2\,b-a\,x^2\right)} \,d x","Not used",1,"-int(1/((a*x^2 - b)^(1/4)*(2*b - a*x^2)), x)","F"
1503,1,146,105,1.145472,"\text{Not used}","int((x - 1)/(x^7*(x^3 + 1)^(1/3)),x)","-\frac{2\,\ln\left(\frac{4\,{\left(x^3+1\right)}^{1/3}}{81}-\frac{4}{81}\right)}{27}-\ln\left(\frac{4\,{\left(x^3+1\right)}^{1/3}}{81}-9\,{\left(-\frac{1}{27}+\frac{\sqrt{3}\,1{}\mathrm{i}}{27}\right)}^2\right)\,\left(-\frac{1}{27}+\frac{\sqrt{3}\,1{}\mathrm{i}}{27}\right)+\ln\left(\frac{4\,{\left(x^3+1\right)}^{1/3}}{81}-9\,{\left(\frac{1}{27}+\frac{\sqrt{3}\,1{}\mathrm{i}}{27}\right)}^2\right)\,\left(\frac{1}{27}+\frac{\sqrt{3}\,1{}\mathrm{i}}{27}\right)-\frac{2\,{\left(x^3+1\right)}^{2/3}-3\,x^3\,{\left(x^3+1\right)}^{2/3}}{10\,x^5}-\frac{\frac{7\,{\left(x^3+1\right)}^{2/3}}{18}-\frac{2\,{\left(x^3+1\right)}^{5/3}}{9}}{2\,x^3-{\left(x^3+1\right)}^2+1}","Not used",1,"log((4*(x^3 + 1)^(1/3))/81 - 9*((3^(1/2)*1i)/27 + 1/27)^2)*((3^(1/2)*1i)/27 + 1/27) - log((4*(x^3 + 1)^(1/3))/81 - 9*((3^(1/2)*1i)/27 - 1/27)^2)*((3^(1/2)*1i)/27 - 1/27) - (2*log((4*(x^3 + 1)^(1/3))/81 - 4/81))/27 - (2*(x^3 + 1)^(2/3) - 3*x^3*(x^3 + 1)^(2/3))/(10*x^5) - ((7*(x^3 + 1)^(2/3))/18 - (2*(x^3 + 1)^(5/3))/9)/(2*x^3 - (x^3 + 1)^2 + 1)","B"
1504,0,-1,105,0.000000,"\text{Not used}","int((3*c + 2*b*x + a*x^2)/((c + b*x + a*x^2)^(1/3)*(c + b*x + a*x^2 + x^3)),x)","\int \frac{a\,x^2+2\,b\,x+3\,c}{{\left(a\,x^2+b\,x+c\right)}^{1/3}\,\left(x^3+a\,x^2+b\,x+c\right)} \,d x","Not used",1,"int((3*c + 2*b*x + a*x^2)/((c + b*x + a*x^2)^(1/3)*(c + b*x + a*x^2 + x^3)), x)","F"
1505,0,-1,105,0.000000,"\text{Not used}","int(-(b - a*x^2)/((b + a*x^4)*(a*x^4 + b*x^2)^(1/4)),x)","\int -\frac{b-a\,x^2}{\left(a\,x^4+b\right)\,{\left(a\,x^4+b\,x^2\right)}^{1/4}} \,d x","Not used",1,"int(-(b - a*x^2)/((b + a*x^4)*(a*x^4 + b*x^2)^(1/4)), x)","F"
1506,0,-1,105,0.000000,"\text{Not used}","int(-(b - a*x^2)/((b + a*x^4)*(a*x^4 + b*x^2)^(1/4)),x)","\int -\frac{b-a\,x^2}{\left(a\,x^4+b\right)\,{\left(a\,x^4+b\,x^2\right)}^{1/4}} \,d x","Not used",1,"int(-(b - a*x^2)/((b + a*x^4)*(a*x^4 + b*x^2)^(1/4)), x)","F"
1507,0,-1,105,0.000000,"\text{Not used}","int((a*x^4 + b*x^2)^(1/4)/(x^4*(b + a*x^4)),x)","\int \frac{{\left(a\,x^4+b\,x^2\right)}^{1/4}}{x^4\,\left(a\,x^4+b\right)} \,d x","Not used",1,"int((a*x^4 + b*x^2)^(1/4)/(x^4*(b + a*x^4)), x)","F"
1508,0,-1,105,0.000000,"\text{Not used}","int((a*x^4 + b*x^2)^(1/4)/(x^4*(b + a*x^4)),x)","\int \frac{{\left(a\,x^4+b\,x^2\right)}^{1/4}}{x^4\,\left(a\,x^4+b\right)} \,d x","Not used",1,"int((a*x^4 + b*x^2)^(1/4)/(x^4*(b + a*x^4)), x)","F"
1509,0,-1,105,0.000000,"\text{Not used}","int((a*x^4 + b*x^2)^(1/4)/(x^4*(b + a*x^4)),x)","\int \frac{{\left(a\,x^4+b\,x^2\right)}^{1/4}}{x^4\,\left(a\,x^4+b\right)} \,d x","Not used",1,"int((a*x^4 + b*x^2)^(1/4)/(x^4*(b + a*x^4)), x)","F"
1510,0,-1,105,0.000000,"\text{Not used}","int((x*(5*x^2 + 3))/((x^2 + 1)^(1/3)*(x^3 + x^5 - 1)),x)","\int \frac{x\,\left(5\,x^2+3\right)}{{\left(x^2+1\right)}^{1/3}\,\left(x^5+x^3-1\right)} \,d x","Not used",1,"int((x*(5*x^2 + 3))/((x^2 + 1)^(1/3)*(x^3 + x^5 - 1)), x)","F"
1511,0,-1,105,0.000000,"\text{Not used}","int(((x^5 - 1)^(2/3)*(2*x^5 + 3)*(x^3 + 2*x^5 - 2))/(x^6*(x^3 + x^5 - 1)),x)","\int \frac{{\left(x^5-1\right)}^{2/3}\,\left(2\,x^5+3\right)\,\left(2\,x^5+x^3-2\right)}{x^6\,\left(x^5+x^3-1\right)} \,d x","Not used",1,"int(((x^5 - 1)^(2/3)*(2*x^5 + 3)*(x^3 + 2*x^5 - 2))/(x^6*(x^3 + x^5 - 1)), x)","F"
1512,0,-1,105,0.000000,"\text{Not used}","int(((x^3 + 1)^(2/3)*(x^3 + x^6 - 2))/x^9,x)","\int \frac{{\left(x^3+1\right)}^{2/3}\,\left(x^6+x^3-2\right)}{x^9} \,d x","Not used",1,"int(((x^3 + 1)^(2/3)*(x^3 + x^6 - 2))/x^9, x)","F"
1513,0,-1,105,0.000000,"\text{Not used}","int(-((x^6 - 1)^(2/3)*(x^6 + 1)*(x^3 - x^6 + 1))/(x^6*(x^3 + x^6 - 1)),x)","\int -\frac{{\left(x^6-1\right)}^{2/3}\,\left(x^6+1\right)\,\left(-x^6+x^3+1\right)}{x^6\,\left(x^6+x^3-1\right)} \,d x","Not used",1,"int(-((x^6 - 1)^(2/3)*(x^6 + 1)*(x^3 - x^6 + 1))/(x^6*(x^3 + x^6 - 1)), x)","F"
1514,0,-1,105,0.000000,"\text{Not used}","int(((x^3 - 1)^(2/3)*(2*x^3 + x^6 - 2))/x^9,x)","\int \frac{{\left(x^3-1\right)}^{2/3}\,\left(x^6+2\,x^3-2\right)}{x^9} \,d x","Not used",1,"int(((x^3 - 1)^(2/3)*(2*x^3 + x^6 - 2))/x^9, x)","F"
1515,0,-1,105,0.000000,"\text{Not used}","int((x^4 - 2)/((x^4 + 1)^(1/4)*(x^4 + x^8 - 2)),x)","\int \frac{x^4-2}{{\left(x^4+1\right)}^{1/4}\,\left(x^8+x^4-2\right)} \,d x","Not used",1,"int((x^4 - 2)/((x^4 + 1)^(1/4)*(x^4 + x^8 - 2)), x)","F"
1516,0,-1,105,0.000000,"\text{Not used}","int(((x^4 - 1)^(1/4)*(x^4 + 2))/(x^2*(2*x^4 + x^8 + 2)),x)","\int \frac{{\left(x^4-1\right)}^{1/4}\,\left(x^4+2\right)}{x^2\,\left(x^8+2\,x^4+2\right)} \,d x","Not used",1,"int(((x^4 - 1)^(1/4)*(x^4 + 2))/(x^2*(2*x^4 + x^8 + 2)), x)","F"
1517,0,-1,105,0.000000,"\text{Not used}","int(((x^4 - 1)^(1/4)*(x^4 + 2))/(x^2*(2*x^4 + x^8 + 2)),x)","\int \frac{{\left(x^4-1\right)}^{1/4}\,\left(x^4+2\right)}{x^2\,\left(x^8+2\,x^4+2\right)} \,d x","Not used",1,"int(((x^4 - 1)^(1/4)*(x^4 + 2))/(x^2*(2*x^4 + x^8 + 2)), x)","F"
1518,0,-1,105,0.000000,"\text{Not used}","int(-(2*b + 2*a*x^4 - x^8)/(x^4*(b + a*x^4)^(1/4)),x)","\int -\frac{-x^8+2\,a\,x^4+2\,b}{x^4\,{\left(a\,x^4+b\right)}^{1/4}} \,d x","Not used",1,"int(-(2*b + 2*a*x^4 - x^8)/(x^4*(b + a*x^4)^(1/4)), x)","F"
1519,0,-1,105,0.000000,"\text{Not used}","int(-(2*x^8 - 2*x^4 + 1)/((x^4 + 1)^(1/4)*(x^4 - x^8 + 2)),x)","\int -\frac{2\,x^8-2\,x^4+1}{{\left(x^4+1\right)}^{1/4}\,\left(-x^8+x^4+2\right)} \,d x","Not used",1,"int(-(2*x^8 - 2*x^4 + 1)/((x^4 + 1)^(1/4)*(x^4 - x^8 + 2)), x)","F"
1520,0,-1,105,0.000000,"\text{Not used}","int(((5*x^8 - 3)*(x^3 + x^8 + 1)^(2/3))/(x^3*(x^8 + 1)),x)","\int \frac{\left(5\,x^8-3\right)\,{\left(x^8+x^3+1\right)}^{2/3}}{x^3\,\left(x^8+1\right)} \,d x","Not used",1,"int(((5*x^8 - 3)*(x^3 + x^8 + 1)^(2/3))/(x^3*(x^8 + 1)), x)","F"
1521,0,-1,105,0.000000,"\text{Not used}","int((b - 2*a*x^8)/((b + a*x^4)^(1/4)*(b - a*x^8)),x)","\int \frac{b-2\,a\,x^8}{{\left(a\,x^4+b\right)}^{1/4}\,\left(b-a\,x^8\right)} \,d x","Not used",1,"int((b - 2*a*x^8)/((b + a*x^4)^(1/4)*(b - a*x^8)), x)","F"
1522,0,-1,105,0.000000,"\text{Not used}","int(-((2*x^6 + 1)*(x^6 - x^2 - 1)^(1/2))/(x^4 + 16*x^6 - 8*x^12 - 8),x)","\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","Not used",1,"int(-((2*x^6 + 1)*(x^6 - x^2 - 1)^(1/2))/(x^4 + 16*x^6 - 8*x^12 - 8), x)","F"
1523,0,-1,105,0.000000,"\text{Not used}","int(1/((x^2 + 1)*(x + (x^2 + 1)^(1/2))^(1/2)),x)","\int \frac{1}{\left(x^2+1\right)\,\sqrt{x+\sqrt{x^2+1}}} \,d x","Not used",1,"int(1/((x^2 + 1)*(x + (x^2 + 1)^(1/2))^(1/2)), x)","F"
1524,0,-1,105,0.000000,"\text{Not used}","int((x - (x^2 + 1)^(1/2))^(1/2)/((x^2 + 1)^(1/2) + x^2),x)","\int \frac{\sqrt{x-\sqrt{x^2+1}}}{\sqrt{x^2+1}+x^2} \,d x","Not used",1,"int((x - (x^2 + 1)^(1/2))^(1/2)/((x^2 + 1)^(1/2) + x^2), x)","F"
1525,0,-1,105,0.000000,"\text{Not used}","int(((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)/x^2,x)","\int \frac{\sqrt{\sqrt{a^2\,x^4+b}+a\,x^2}}{x^2} \,d x","Not used",1,"int(((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)/x^2, x)","F"
1526,0,-1,105,0.000000,"\text{Not used}","int((x - 1)/((((x + 1)^(1/2) + 1)^(1/2) + 1)^(1/2)*(x + 1)),x)","\int \frac{x-1}{\sqrt{\sqrt{\sqrt{x+1}+1}+1}\,\left(x+1\right)} \,d x","Not used",1,"int((x - 1)/((((x + 1)^(1/2) + 1)^(1/2) + 1)^(1/2)*(x + 1)), x)","F"
1527,0,-1,106,0.000000,"\text{Not used}","int(1/((x - 2)*(2*x + x^2 + 1)^(1/3)),x)","\int \frac{1}{\left(x-2\right)\,{\left(x^2+2\,x+1\right)}^{1/3}} \,d x","Not used",1,"int(1/((x - 2)*(2*x + x^2 + 1)^(1/3)), x)","F"
1528,0,-1,106,0.000000,"\text{Not used}","int((x^3 - x)^(1/3)/x^2,x)","\int \frac{{\left(x^3-x\right)}^{1/3}}{x^2} \,d x","Not used",1,"int((x^3 - x)^(1/3)/x^2, x)","F"
1529,0,-1,106,0.000000,"\text{Not used}","int((x^3 - x^2)^(1/3)/x,x)","\int \frac{{\left(x^3-x^2\right)}^{1/3}}{x} \,d x","Not used",1,"int((x^3 - x^2)^(1/3)/x, x)","F"
1530,0,-1,106,0.000000,"\text{Not used}","int(-(3*b - a*x^2)/((a*x^3 - b*x)^(1/4)*(a*x^2 - b + x^3)),x)","\int -\frac{3\,b-a\,x^2}{{\left(a\,x^3-b\,x\right)}^{1/4}\,\left(x^3+a\,x^2-b\right)} \,d x","Not used",1,"int(-(3*b - a*x^2)/((a*x^3 - b*x)^(1/4)*(a*x^2 - b + x^3)), x)","F"
1531,0,-1,106,0.000000,"\text{Not used}","int(-1/((2*b - a*x)*(a*x^3 - b*x^2)^(1/4)),x)","-\int \frac{1}{\left(2\,b-a\,x\right)\,{\left(a\,x^3-b\,x^2\right)}^{1/4}} \,d x","Not used",1,"-int(1/((2*b - a*x)*(a*x^3 - b*x^2)^(1/4)), x)","F"
1532,0,-1,106,0.000000,"\text{Not used}","int(-((b - a*x^4)*(a*x^4 - b*x^2)^(1/4))/(x^4*(b + a*x^4)),x)","\int -\frac{\left(b-a\,x^4\right)\,{\left(a\,x^4-b\,x^2\right)}^{1/4}}{x^4\,\left(a\,x^4+b\right)} \,d x","Not used",1,"int(-((b - a*x^4)*(a*x^4 - b*x^2)^(1/4))/(x^4*(b + a*x^4)), x)","F"
1533,0,-1,106,0.000000,"\text{Not used}","int(-((b - a*x^4)*(a*x^4 - b*x^2)^(1/4))/(x^4*(b + a*x^4)),x)","\int -\frac{\left(b-a\,x^4\right)\,{\left(a\,x^4-b\,x^2\right)}^{1/4}}{x^4\,\left(a\,x^4+b\right)} \,d x","Not used",1,"int(-((b - a*x^4)*(a*x^4 - b*x^2)^(1/4))/(x^4*(b + a*x^4)), x)","F"
1534,0,-1,106,0.000000,"\text{Not used}","int(-(b - a*x^2)/((a*x^4 + b*x^2)^(1/4)*(b - a*x^2 + x^4)),x)","\int -\frac{b-a\,x^2}{{\left(a\,x^4+b\,x^2\right)}^{1/4}\,\left(x^4-a\,x^2+b\right)} \,d x","Not used",1,"int(-(b - a*x^2)/((a*x^4 + b*x^2)^(1/4)*(b - a*x^2 + x^4)), x)","F"
1535,0,-1,106,0.000000,"\text{Not used}","int(-(b - a*x^2)/((a*x^4 + b*x^2)^(1/4)*(b - a*x^2 + x^4)),x)","\int -\frac{b-a\,x^2}{{\left(a\,x^4+b\,x^2\right)}^{1/4}\,\left(x^4-a\,x^2+b\right)} \,d x","Not used",1,"int(-(b - a*x^2)/((a*x^4 + b*x^2)^(1/4)*(b - a*x^2 + x^4)), x)","F"
1536,0,-1,106,0.000000,"\text{Not used}","int(-(a*x^4 + b*x^2)^(1/4)/(x^4*(b - a*x^4)),x)","-\int \frac{{\left(a\,x^4+b\,x^2\right)}^{1/4}}{x^4\,\left(b-a\,x^4\right)} \,d x","Not used",1,"-int((a*x^4 + b*x^2)^(1/4)/(x^4*(b - a*x^4)), x)","F"
1537,0,-1,106,0.000000,"\text{Not used}","int(-(a*x^4 + b*x^2)^(1/4)/(x^4*(b - a*x^4)),x)","-\int \frac{{\left(a\,x^4+b\,x^2\right)}^{1/4}}{x^4\,\left(b-a\,x^4\right)} \,d x","Not used",1,"-int((a*x^4 + b*x^2)^(1/4)/(x^4*(b - a*x^4)), x)","F"
1538,0,-1,106,0.000000,"\text{Not used}","int(-(b^3 + a^3*x^3)/((b^3 - a^3*x^3)*(b^4 + a^4*x^4)^(1/2)),x)","\int -\frac{a^3\,x^3+b^3}{\left(b^3-a^3\,x^3\right)\,\sqrt{a^4\,x^4+b^4}} \,d x","Not used",1,"int(-(b^3 + a^3*x^3)/((b^3 - a^3*x^3)*(b^4 + a^4*x^4)^(1/2)), x)","F"
1539,0,-1,106,0.000000,"\text{Not used}","int(((x^3 + 1)^(2/3)*(x^3 + 2*x^6 + 1))/(x^6*(2*x^6 - 1)),x)","\int \frac{{\left(x^3+1\right)}^{2/3}\,\left(2\,x^6+x^3+1\right)}{x^6\,\left(2\,x^6-1\right)} \,d x","Not used",1,"int(((x^3 + 1)^(2/3)*(x^3 + 2*x^6 + 1))/(x^6*(2*x^6 - 1)), x)","F"
1540,0,-1,106,0.000000,"\text{Not used}","int(((x^3 + 1)^(2/3)*(x^3 + 2*x^6 + 1))/(x^6*(2*x^6 - 1)),x)","\int \frac{{\left(x^3+1\right)}^{2/3}\,\left(2\,x^6+x^3+1\right)}{x^6\,\left(2\,x^6-1\right)} \,d x","Not used",1,"int(((x^3 + 1)^(2/3)*(x^3 + 2*x^6 + 1))/(x^6*(2*x^6 - 1)), x)","F"
1541,0,-1,106,0.000000,"\text{Not used}","int(-((x^6 + 1)*(2*x^6 - 1)*(x^4 + 2*x^6 - 1)^(5/4))/(x^10*(x^4 - 2*x^6 + 1)),x)","\int -\frac{\left(x^6+1\right)\,\left(2\,x^6-1\right)\,{\left(2\,x^6+x^4-1\right)}^{5/4}}{x^{10}\,\left(-2\,x^6+x^4+1\right)} \,d x","Not used",1,"int(-((x^6 + 1)*(2*x^6 - 1)*(x^4 + 2*x^6 - 1)^(5/4))/(x^10*(x^4 - 2*x^6 + 1)), x)","F"
1542,0,-1,106,0.000000,"\text{Not used}","int(1/((a^3*x^3 + b^2*x^2)^(1/3)*(b + a^6*x^6)),x)","\int \frac{1}{{\left(a^3\,x^3+b^2\,x^2\right)}^{1/3}\,\left(a^6\,x^6+b\right)} \,d x","Not used",1,"int(1/((a^3*x^3 + b^2*x^2)^(1/3)*(b + a^6*x^6)), x)","F"
1543,0,-1,106,0.000000,"\text{Not used}","int(1/((a^3*x^3 + b^2*x^2)^(1/3)*(b + a^6*x^6)),x)","\int \frac{1}{{\left(a^3\,x^3+b^2\,x^2\right)}^{1/3}\,\left(a^6\,x^6+b\right)} \,d x","Not used",1,"int(1/((a^3*x^3 + b^2*x^2)^(1/3)*(b + a^6*x^6)), x)","F"
1544,0,-1,106,0.000000,"\text{Not used}","int(((2*k^2*x^3 - x*(3*k^2 - 1))*(k^4*x^4 - 2*k^2*x^2 + 1))/(((x^2 - 1)*(k^2*x^2 - 1))^(3/4)*(x^2*(3*d*k^2 - 1) - d - 3*d*k^4*x^4 + d*k^6*x^6 + 1)),x)","\int \frac{\left(2\,k^2\,x^3-x\,\left(3\,k^2-1\right)\right)\,\left(k^4\,x^4-2\,k^2\,x^2+1\right)}{{\left(\left(x^2-1\right)\,\left(k^2\,x^2-1\right)\right)}^{3/4}\,\left(x^2\,\left(3\,d\,k^2-1\right)-d-3\,d\,k^4\,x^4+d\,k^6\,x^6+1\right)} \,d x","Not used",1,"int(((2*k^2*x^3 - x*(3*k^2 - 1))*(k^4*x^4 - 2*k^2*x^2 + 1))/(((x^2 - 1)*(k^2*x^2 - 1))^(3/4)*(x^2*(3*d*k^2 - 1) - d - 3*d*k^4*x^4 + d*k^6*x^6 + 1)), x)","F"
1545,0,-1,106,0.000000,"\text{Not used}","int(((2*x^4 - 1)^(1/4)*(x^4 + x^8 - 1))/(x^6*(x^4 - 1)),x)","\int \frac{{\left(2\,x^4-1\right)}^{1/4}\,\left(x^8+x^4-1\right)}{x^6\,\left(x^4-1\right)} \,d x","Not used",1,"int(((2*x^4 - 1)^(1/4)*(x^4 + x^8 - 1))/(x^6*(x^4 - 1)), x)","F"
1546,0,-1,106,0.000000,"\text{Not used}","int(-1/((a*x^4 - b)^(1/4)*(b + a*x^4 - x^8)),x)","-\int \frac{1}{{\left(a\,x^4-b\right)}^{1/4}\,\left(-x^8+a\,x^4+b\right)} \,d x","Not used",1,"-int(1/((a*x^4 - b)^(1/4)*(b + a*x^4 - x^8)), x)","F"
1547,0,-1,106,0.000000,"\text{Not used}","int(-1/((a*x^4 - b)^(1/4)*(b + a*x^4 - x^8)),x)","-\int \frac{1}{{\left(a\,x^4-b\right)}^{1/4}\,\left(-x^8+a\,x^4+b\right)} \,d x","Not used",1,"-int(1/((a*x^4 - b)^(1/4)*(b + a*x^4 - x^8)), x)","F"
1548,0,-1,107,0.000000,"\text{Not used}","int(x^6*(x^3 - 1)^(2/3),x)","\int x^6\,{\left(x^3-1\right)}^{2/3} \,d x","Not used",1,"int(x^6*(x^3 - 1)^(2/3), x)","F"
1549,0,-1,107,0.000000,"\text{Not used}","int(x^6*(x^3 + 1)^(2/3),x)","\int x^6\,{\left(x^3+1\right)}^{2/3} \,d x","Not used",1,"int(x^6*(x^3 + 1)^(2/3), x)","F"
1550,0,-1,107,0.000000,"\text{Not used}","int(x^4*(x + x^3)^(1/3),x)","\int x^4\,{\left(x^3+x\right)}^{1/3} \,d x","Not used",1,"int(x^4*(x + x^3)^(1/3), x)","F"
1551,0,-1,107,0.000000,"\text{Not used}","int((x^2*(3*a*b^2 + x^2*(a + 2*b) - 2*b*x*(2*a + b)))/((-x*(a - x)*(b - x)^2)^(3/4)*(a*b^2 + x^2*(a + 2*b) + x^3*(d - 1) - b*x*(2*a + b))),x)","\int \frac{x^2\,\left(3\,a\,b^2+x^2\,\left(a+2\,b\right)-2\,b\,x\,\left(2\,a+b\right)\right)}{{\left(-x\,\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{3/4}\,\left(a\,b^2+x^2\,\left(a+2\,b\right)+x^3\,\left(d-1\right)-b\,x\,\left(2\,a+b\right)\right)} \,d x","Not used",1,"int((x^2*(3*a*b^2 + x^2*(a + 2*b) - 2*b*x*(2*a + b)))/((-x*(a - x)*(b - x)^2)^(3/4)*(a*b^2 + x^2*(a + 2*b) + x^3*(d - 1) - b*x*(2*a + b))), x)","F"
1552,1,268,107,1.824248,"\text{Not used}","int(((x^4 + 1)^(1/3)*(x^4 + 3))/x^17,x)","\frac{5\,\ln\left(\frac{25\,{\left(x^4+1\right)}^{1/3}}{11664}-\frac{25}{11664}\right)}{324}-\frac{5\,\ln\left(\frac{25\,{\left(x^4+1\right)}^{1/3}}{2916}-\frac{25}{2916}\right)}{162}-\frac{\frac{5\,{\left(x^4+1\right)}^{1/3}}{108}+\frac{13\,{\left(x^4+1\right)}^{4/3}}{216}-\frac{5\,{\left(x^4+1\right)}^{7/3}}{216}}{{\left(x^4+1\right)}^3-3\,{\left(x^4+1\right)}^2+3\,x^4+2}+\frac{\frac{5\,{\left(x^4+1\right)}^{1/3}}{54}+\frac{31\,{\left(x^4+1\right)}^{4/3}}{144}-\frac{{\left(x^4+1\right)}^{7/3}}{6}+\frac{5\,{\left(x^4+1\right)}^{10/3}}{108}}{4\,{\left(x^4+1\right)}^3-6\,{\left(x^4+1\right)}^2-{\left(x^4+1\right)}^4+4\,x^4+3}-\ln\left(\frac{5\,{\left(x^4+1\right)}^{1/3}}{18}+\frac{5}{36}-\frac{\sqrt{3}\,5{}\mathrm{i}}{36}\right)\,\left(-\frac{5}{324}+\frac{\sqrt{3}\,5{}\mathrm{i}}{324}\right)+\ln\left(\frac{5\,{\left(x^4+1\right)}^{1/3}}{18}+\frac{5}{36}+\frac{\sqrt{3}\,5{}\mathrm{i}}{36}\right)\,\left(\frac{5}{324}+\frac{\sqrt{3}\,5{}\mathrm{i}}{324}\right)+\ln\left(\frac{5\,{\left(x^4+1\right)}^{1/3}}{36}+\frac{5}{72}-\frac{\sqrt{3}\,5{}\mathrm{i}}{72}\right)\,\left(-\frac{5}{648}+\frac{\sqrt{3}\,5{}\mathrm{i}}{648}\right)-\ln\left(\frac{5\,{\left(x^4+1\right)}^{1/3}}{36}+\frac{5}{72}+\frac{\sqrt{3}\,5{}\mathrm{i}}{72}\right)\,\left(\frac{5}{648}+\frac{\sqrt{3}\,5{}\mathrm{i}}{648}\right)","Not used",1,"(5*log((25*(x^4 + 1)^(1/3))/11664 - 25/11664))/324 - (5*log((25*(x^4 + 1)^(1/3))/2916 - 25/2916))/162 - ((5*(x^4 + 1)^(1/3))/108 + (13*(x^4 + 1)^(4/3))/216 - (5*(x^4 + 1)^(7/3))/216)/((x^4 + 1)^3 - 3*(x^4 + 1)^2 + 3*x^4 + 2) + ((5*(x^4 + 1)^(1/3))/54 + (31*(x^4 + 1)^(4/3))/144 - (x^4 + 1)^(7/3)/6 + (5*(x^4 + 1)^(10/3))/108)/(4*(x^4 + 1)^3 - 6*(x^4 + 1)^2 - (x^4 + 1)^4 + 4*x^4 + 3) - log((5*(x^4 + 1)^(1/3))/18 - (3^(1/2)*5i)/36 + 5/36)*((3^(1/2)*5i)/324 - 5/324) + log((3^(1/2)*5i)/36 + (5*(x^4 + 1)^(1/3))/18 + 5/36)*((3^(1/2)*5i)/324 + 5/324) + log((5*(x^4 + 1)^(1/3))/36 - (3^(1/2)*5i)/72 + 5/72)*((3^(1/2)*5i)/648 - 5/648) - log((3^(1/2)*5i)/72 + (5*(x^4 + 1)^(1/3))/36 + 5/72)*((3^(1/2)*5i)/648 + 5/648)","B"
1553,0,-1,107,0.000000,"\text{Not used}","int(((x^2 - 2)*(x + x^3)^(1/3))/(x^2*(x^4 - 2*x^2 + 4)),x)","\int \frac{\left(x^2-2\right)\,{\left(x^3+x\right)}^{1/3}}{x^2\,\left(x^4-2\,x^2+4\right)} \,d x","Not used",1,"int(((x^2 - 2)*(x + x^3)^(1/3))/(x^2*(x^4 - 2*x^2 + 4)), x)","F"
1554,0,-1,107,0.000000,"\text{Not used}","int(((x^2 - 2)*(x + x^3)^(1/3))/(x^2*(x^4 - 2*x^2 + 4)),x)","\int \frac{\left(x^2-2\right)\,{\left(x^3+x\right)}^{1/3}}{x^2\,\left(x^4-2\,x^2+4\right)} \,d x","Not used",1,"int(((x^2 - 2)*(x + x^3)^(1/3))/(x^2*(x^4 - 2*x^2 + 4)), x)","F"
1555,0,-1,107,0.000000,"\text{Not used}","int(1/((x^4 - 1)^2*(x^4 - x^2)^(1/4)),x)","\int \frac{1}{{\left(x^4-1\right)}^2\,{\left(x^4-x^2\right)}^{1/4}} \,d x","Not used",1,"int(1/((x^4 - 1)^2*(x^4 - x^2)^(1/4)), x)","F"
1556,0,-1,107,0.000000,"\text{Not used}","int(((x^2 - 1)*(x^2 - x - x^3 + x^4 + 1))/((x^2 - x + 1)^2*(3*x^2 + x^4 + 1)^(1/2)*(x + x^2 + 1)),x)","\int \frac{\left(x^2-1\right)\,\left(x^4-x^3+x^2-x+1\right)}{{\left(x^2-x+1\right)}^2\,\sqrt{x^4+3\,x^2+1}\,\left(x^2+x+1\right)} \,d x","Not used",1,"int(((x^2 - 1)*(x^2 - x - x^3 + x^4 + 1))/((x^2 - x + 1)^2*(3*x^2 + x^4 + 1)^(1/2)*(x + x^2 + 1)), x)","F"
1557,1,104,107,1.810437,"\text{Not used}","int(((b + a*x^3)*(b + 2*a*x^3))/(x^6*(b*x + a*x^4)^(1/4)),x)","-\frac{12\,b\,\left(a\,x^4+b\,x\right)+68\,a\,x^3\,\left(a\,x^4+b\,x\right)-168\,a^2\,x^7\,{\left(\frac{a\,x^3}{b}+1\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{1}{4};\ \frac{5}{4};\ -\frac{a\,x^3}{b}\right)}{{\left(a\,x^4+b\,x\right)}^{1/4}\,\left(\frac{63\,x^2\,\left(a\,x^4+b\,x\right)}{a}-\frac{63\,b\,x^3}{a}\right)}","Not used",1,"-(12*b*(b*x + a*x^4) + 68*a*x^3*(b*x + a*x^4) - 168*a^2*x^7*((a*x^3)/b + 1)^(1/4)*hypergeom([1/4, 1/4], 5/4, -(a*x^3)/b))/((b*x + a*x^4)^(1/4)*((63*x^2*(b*x + a*x^4))/a - (63*b*x^3)/a))","B"
1558,0,-1,107,0.000000,"\text{Not used}","int(-(b^3 - a^3*x^3)/((b^3 + a^3*x^3)*(b^4 + a^4*x^4)^(1/2)),x)","\int -\frac{b^3-a^3\,x^3}{\left(a^3\,x^3+b^3\right)\,\sqrt{a^4\,x^4+b^4}} \,d x","Not used",1,"int(-(b^3 - a^3*x^3)/((b^3 + a^3*x^3)*(b^4 + a^4*x^4)^(1/2)), x)","F"
1559,0,-1,107,0.000000,"\text{Not used}","int(-(x^4*(2*b - a*x^2))/((b - a*x^2)^2*(a*x^2 - b + c*x^4)^(1/4)),x)","-\int \frac{x^4\,\left(2\,b-a\,x^2\right)}{{\left(b-a\,x^2\right)}^2\,{\left(c\,x^4+a\,x^2-b\right)}^{1/4}} \,d x","Not used",1,"-int((x^4*(2*b - a*x^2))/((b - a*x^2)^2*(a*x^2 - b + c*x^4)^(1/4)), x)","F"
1560,0,-1,107,0.000000,"\text{Not used}","int(-((2*x + x^2 - 1)*(2*x - x^2 + 1))/((x^5 - x)^(1/3)*(2*x^2 - x + x^3 + x^4 + 1)),x)","-\int \frac{\left(x^2+2\,x-1\right)\,\left(-x^2+2\,x+1\right)}{{\left(x^5-x\right)}^{1/3}\,\left(x^4+x^3+2\,x^2-x+1\right)} \,d x","Not used",1,"-int(((2*x + x^2 - 1)*(2*x - x^2 + 1))/((x^5 - x)^(1/3)*(2*x^2 - x + x^3 + x^4 + 1)), x)","F"
1561,1,77,107,1.314815,"\text{Not used}","int(-(b + a*x^3 - x^6)/(x^6*(b*x + a*x^4)^(1/4)),x)","\frac{4\,{\left(a\,x^4+b\,x\right)}^{3/4}}{21\,x^6}+\frac{4\,x\,{\left(\frac{a\,x^3}{b}+1\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{1}{4};\ \frac{5}{4};\ -\frac{a\,x^3}{b}\right)}{3\,{\left(a\,x^4+b\,x\right)}^{1/4}}+\frac{4\,a\,{\left(a\,x^4+b\,x\right)}^{3/4}}{21\,b\,x^3}","Not used",1,"(4*(b*x + a*x^4)^(3/4))/(21*x^6) + (4*x*((a*x^3)/b + 1)^(1/4)*hypergeom([1/4, 1/4], 5/4, -(a*x^3)/b))/(3*(b*x + a*x^4)^(1/4)) + (4*a*(b*x + a*x^4)^(3/4))/(21*b*x^3)","B"
1562,0,-1,107,0.000000,"\text{Not used}","int(-1/((a^3*x^3 + b^2*x^2)^(1/3)*(b - a^6*x^6)),x)","-\int \frac{1}{{\left(a^3\,x^3+b^2\,x^2\right)}^{1/3}\,\left(b-a^6\,x^6\right)} \,d x","Not used",1,"-int(1/((a^3*x^3 + b^2*x^2)^(1/3)*(b - a^6*x^6)), x)","F"
1563,0,-1,107,0.000000,"\text{Not used}","int(-1/((a^3*x^3 + b^2*x^2)^(1/3)*(b - a^6*x^6)),x)","-\int \frac{1}{{\left(a^3\,x^3+b^2\,x^2\right)}^{1/3}\,\left(b-a^6\,x^6\right)} \,d x","Not used",1,"-int(1/((a^3*x^3 + b^2*x^2)^(1/3)*(b - a^6*x^6)), x)","F"
1564,0,-1,107,0.000000,"\text{Not used}","int(-1/((a^3*x^3 + b^2*x^2)^(1/3)*(b - 2*a^6*x^6)),x)","-\int \frac{1}{{\left(a^3\,x^3+b^2\,x^2\right)}^{1/3}\,\left(b-2\,a^6\,x^6\right)} \,d x","Not used",1,"-int(1/((a^3*x^3 + b^2*x^2)^(1/3)*(b - 2*a^6*x^6)), x)","F"
1565,0,-1,107,0.000000,"\text{Not used}","int(-1/((a^3*x^3 + b^2*x^2)^(1/3)*(b - 2*a^6*x^6)),x)","-\int \frac{1}{{\left(a^3\,x^3+b^2\,x^2\right)}^{1/3}\,\left(b-2\,a^6\,x^6\right)} \,d x","Not used",1,"-int(1/((a^3*x^3 + b^2*x^2)^(1/3)*(b - 2*a^6*x^6)), x)","F"
1566,0,-1,107,0.000000,"\text{Not used}","int(1/((a^3*x^3 + b^2*x^2)^(1/3)*(b + 2*a^6*x^6)),x)","\int \frac{1}{{\left(a^3\,x^3+b^2\,x^2\right)}^{1/3}\,\left(2\,a^6\,x^6+b\right)} \,d x","Not used",1,"int(1/((a^3*x^3 + b^2*x^2)^(1/3)*(b + 2*a^6*x^6)), x)","F"
1567,0,-1,107,0.000000,"\text{Not used}","int(1/((a^3*x^3 + b^2*x^2)^(1/3)*(b + 2*a^6*x^6)),x)","\int \frac{1}{{\left(a^3\,x^3+b^2\,x^2\right)}^{1/3}\,\left(2\,a^6\,x^6+b\right)} \,d x","Not used",1,"int(1/((a^3*x^3 + b^2*x^2)^(1/3)*(b + 2*a^6*x^6)), x)","F"
1568,0,-1,107,0.000000,"\text{Not used}","int((x^4*(x^3 - 4))/((x^3 - 1)^(1/4)*(2*x^3 - x^6 + x^8 - 1)),x)","\int \frac{x^4\,\left(x^3-4\right)}{{\left(x^3-1\right)}^{1/4}\,\left(x^8-x^6+2\,x^3-1\right)} \,d x","Not used",1,"int((x^4*(x^3 - 4))/((x^3 - 1)^(1/4)*(2*x^3 - x^6 + x^8 - 1)), x)","F"
1569,0,-1,107,0.000000,"\text{Not used}","int(-x^6/((b^2 - a^2*x^8)*(b + a*x^4)^(3/4)),x)","-\int \frac{x^6}{\left(b^2-a^2\,x^8\right)\,{\left(a\,x^4+b\right)}^{3/4}} \,d x","Not used",1,"-int(x^6/((b^2 - a^2*x^8)*(b + a*x^4)^(3/4)), x)","F"
1570,0,-1,107,0.000000,"\text{Not used}","int(((a*x^2 - b^2)*(b + (a*x^2 + b^2)^(1/2))^(1/2))/(a*x^2 + b^2),x)","\int \frac{\left(a\,x^2-b^2\right)\,\sqrt{b+\sqrt{b^2+a\,x^2}}}{b^2+a\,x^2} \,d x","Not used",1,"int(((a*x^2 - b^2)*(b + (a*x^2 + b^2)^(1/2))^(1/2))/(a*x^2 + b^2), x)","F"
1571,1,25,108,1.134477,"\text{Not used}","int((x^2 + x^3)^(1/3),x)","\frac{3\,x\,{\left(x^3+x^2\right)}^{1/3}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{3},\frac{5}{3};\ \frac{8}{3};\ -x\right)}{5\,{\left(x+1\right)}^{1/3}}","Not used",1,"(3*x*(x^2 + x^3)^(1/3)*hypergeom([-1/3, 5/3], 8/3, -x))/(5*(x + 1)^(1/3))","B"
1572,-1,-1,108,0.000000,"\text{Not used}","int((k^3*x^3 - 1)/((k^3*x^3 + 1)*(x*(k^2*x - 1)*(x - 1))^(1/2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
1573,0,-1,108,0.000000,"\text{Not used}","int((b + a*x^2)/((a*x^4 - b*x^2)^(1/4)*(b + a*x^2 + x^4)),x)","\int \frac{a\,x^2+b}{{\left(a\,x^4-b\,x^2\right)}^{1/4}\,\left(x^4+a\,x^2+b\right)} \,d x","Not used",1,"int((b + a*x^2)/((a*x^4 - b*x^2)^(1/4)*(b + a*x^2 + x^4)), x)","F"
1574,0,-1,108,0.000000,"\text{Not used}","int((b + a*x^2)/((a*x^4 - b*x^2)^(1/4)*(b + a*x^2 + x^4)),x)","\int \frac{a\,x^2+b}{{\left(a\,x^4-b\,x^2\right)}^{1/4}\,\left(x^4+a\,x^2+b\right)} \,d x","Not used",1,"int((b + a*x^2)/((a*x^4 - b*x^2)^(1/4)*(b + a*x^2 + x^4)), x)","F"
1575,0,-1,108,0.000000,"\text{Not used}","int((c + b*x^2 + c*k^2*x^4)/((k^2*x^4 - 1)*((x^2 - 1)*(k^2*x^2 - 1))^(1/2)),x)","\int \frac{c\,k^2\,x^4+b\,x^2+c}{\left(k^2\,x^4-1\right)\,\sqrt{\left(x^2-1\right)\,\left(k^2\,x^2-1\right)}} \,d x","Not used",1,"int((c + b*x^2 + c*k^2*x^4)/((k^2*x^4 - 1)*((x^2 - 1)*(k^2*x^2 - 1))^(1/2)), x)","F"
1576,0,-1,108,0.000000,"\text{Not used}","int((3*b + a*x^4)/((a*x^5 - b*x)^(1/4)*(a*x^4 - b + x^3)),x)","\int \frac{a\,x^4+3\,b}{{\left(a\,x^5-b\,x\right)}^{1/4}\,\left(a\,x^4+x^3-b\right)} \,d x","Not used",1,"int((3*b + a*x^4)/((a*x^5 - b*x)^(1/4)*(a*x^4 - b + x^3)), x)","F"
1577,1,52,108,1.189003,"\text{Not used}","int((x^6 - 1)/(x^6*(x + x^3)^(1/3)),x)","\frac{3\,{\left(x^3+x\right)}^{2/3}\,\left(9\,x^4-6\,x^2+5\right)}{80\,x^6}+\frac{3\,x\,{\left(x^2+1\right)}^{1/3}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{3},\frac{1}{3};\ \frac{4}{3};\ -x^2\right)}{2\,{\left(x^3+x\right)}^{1/3}}","Not used",1,"(3*(x + x^3)^(2/3)*(9*x^4 - 6*x^2 + 5))/(80*x^6) + (3*x*(x^2 + 1)^(1/3)*hypergeom([1/3, 1/3], 4/3, -x^2))/(2*(x + x^3)^(1/3))","B"
1578,1,54,108,1.128506,"\text{Not used}","int(((x^3 - 1)^(2/3)*(x^6 + 2))/x^6,x)","\frac{x\,{\left(x^3-1\right)}^{2/3}\,{{}}_2{\mathrm{F}}_1\left(-\frac{2}{3},\frac{1}{3};\ \frac{4}{3};\ x^3\right)}{{\left(1-x^3\right)}^{2/3}}-\frac{2\,{\left(x^3-1\right)}^{2/3}-2\,x^3\,{\left(x^3-1\right)}^{2/3}}{5\,x^5}","Not used",1,"(x*(x^3 - 1)^(2/3)*hypergeom([-2/3, 1/3], 4/3, x^3))/(1 - x^3)^(2/3) - (2*(x^3 - 1)^(2/3) - 2*x^3*(x^3 - 1)^(2/3))/(5*x^5)","B"
1579,0,-1,108,0.000000,"\text{Not used}","int(((x^3 - 1)^(2/3)*(x^3 + x^6 - 2))/x^6,x)","\int \frac{{\left(x^3-1\right)}^{2/3}\,\left(x^6+x^3-2\right)}{x^6} \,d x","Not used",1,"int(((x^3 - 1)^(2/3)*(x^3 + x^6 - 2))/x^6, x)","F"
1580,1,38,108,1.115219,"\text{Not used}","int(((x^3 + 1)^(2/3)*(2*x^6 + 1))/x^6,x)","2\,x\,{{}}_2{\mathrm{F}}_1\left(-\frac{2}{3},\frac{1}{3};\ \frac{4}{3};\ -x^3\right)-\frac{{\left(x^3+1\right)}^{2/3}+x^3\,{\left(x^3+1\right)}^{2/3}}{5\,x^5}","Not used",1,"2*x*hypergeom([-2/3, 1/3], 4/3, -x^3) - ((x^3 + 1)^(2/3) + x^3*(x^3 + 1)^(2/3))/(5*x^5)","B"
1581,0,-1,108,0.000000,"\text{Not used}","int((3*b + 2*a*x^5)/((a*x^6 - b*x)^(1/4)*(a*x^5 - b + x^3)),x)","\int \frac{2\,a\,x^5+3\,b}{{\left(a\,x^6-b\,x\right)}^{1/4}\,\left(a\,x^5+x^3-b\right)} \,d x","Not used",1,"int((3*b + 2*a*x^5)/((a*x^6 - b*x)^(1/4)*(a*x^5 - b + x^3)), x)","F"
1582,0,-1,108,0.000000,"\text{Not used}","int(((x^4 - 1)^(1/4)*(x^4 + x^8 + 1))/(x^6*(2*x^8 - 1)),x)","\int \frac{{\left(x^4-1\right)}^{1/4}\,\left(x^8+x^4+1\right)}{x^6\,\left(2\,x^8-1\right)} \,d x","Not used",1,"int(((x^4 - 1)^(1/4)*(x^4 + x^8 + 1))/(x^6*(2*x^8 - 1)), x)","F"
1583,0,-1,108,0.000000,"\text{Not used}","int(((x^4 - 1)^(1/4)*(x^4 + x^8 + 1))/(x^6*(2*x^8 - 1)),x)","\int \frac{{\left(x^4-1\right)}^{1/4}\,\left(x^8+x^4+1\right)}{x^6\,\left(2\,x^8-1\right)} \,d x","Not used",1,"int(((x^4 - 1)^(1/4)*(x^4 + x^8 + 1))/(x^6*(2*x^8 - 1)), x)","F"
1584,0,-1,108,0.000000,"\text{Not used}","int((a^2*x^2 - b*x)^(1/2)/(a*x^2 + x*(a^2*x^2 - b*x)^(1/2))^(3/2),x)","\int \frac{\sqrt{a^2\,x^2-b\,x}}{{\left(a\,x^2+x\,\sqrt{a^2\,x^2-b\,x}\right)}^{3/2}} \,d x","Not used",1,"int((a^2*x^2 - b*x)^(1/2)/(a*x^2 + x*(a^2*x^2 - b*x)^(1/2))^(3/2), x)","F"
1585,0,-1,109,0.000000,"\text{Not used}","int(x^7*(x^3 - 1)^(1/3),x)","\int x^7\,{\left(x^3-1\right)}^{1/3} \,d x","Not used",1,"int(x^7*(x^3 - 1)^(1/3), x)","F"
1586,0,-1,109,0.000000,"\text{Not used}","int(x^7*(x^3 + 1)^(1/3),x)","\int x^7\,{\left(x^3+1\right)}^{1/3} \,d x","Not used",1,"int(x^7*(x^3 + 1)^(1/3), x)","F"
1587,1,265,109,1.607350,"\text{Not used}","int(((x^3 - 1)^(1/3)*(x^3 + 1))/x^13,x)","\frac{5\,\ln\left(\frac{25\,{\left(x^3-1\right)}^{1/3}}{6561}+\frac{25}{6561}\right)}{243}+\frac{10\,\ln\left(\frac{100\,{\left(x^3-1\right)}^{1/3}}{59049}+\frac{100}{59049}\right)}{729}+\frac{\frac{31\,{\left(x^3-1\right)}^{4/3}}{324}-\frac{10\,{\left(x^3-1\right)}^{1/3}}{243}+\frac{2\,{\left(x^3-1\right)}^{7/3}}{27}+\frac{5\,{\left(x^3-1\right)}^{10/3}}{243}}{6\,{\left(x^3-1\right)}^2+4\,{\left(x^3-1\right)}^3+{\left(x^3-1\right)}^4+4\,x^3-3}+\frac{\frac{13\,{\left(x^3-1\right)}^{4/3}}{162}-\frac{5\,{\left(x^3-1\right)}^{1/3}}{81}+\frac{5\,{\left(x^3-1\right)}^{7/3}}{162}}{3\,{\left(x^3-1\right)}^2+{\left(x^3-1\right)}^3+3\,x^3-2}-\ln\left(\frac{5}{54}-\frac{5\,{\left(x^3-1\right)}^{1/3}}{27}+\frac{\sqrt{3}\,5{}\mathrm{i}}{54}\right)\,\left(\frac{5}{486}+\frac{\sqrt{3}\,5{}\mathrm{i}}{486}\right)+\ln\left(\frac{5\,{\left(x^3-1\right)}^{1/3}}{27}-\frac{5}{54}+\frac{\sqrt{3}\,5{}\mathrm{i}}{54}\right)\,\left(-\frac{5}{486}+\frac{\sqrt{3}\,5{}\mathrm{i}}{486}\right)-\ln\left(\frac{5}{81}-\frac{10\,{\left(x^3-1\right)}^{1/3}}{81}+\frac{\sqrt{3}\,5{}\mathrm{i}}{81}\right)\,\left(\frac{5}{729}+\frac{\sqrt{3}\,5{}\mathrm{i}}{729}\right)+\ln\left(\frac{10\,{\left(x^3-1\right)}^{1/3}}{81}-\frac{5}{81}+\frac{\sqrt{3}\,5{}\mathrm{i}}{81}\right)\,\left(-\frac{5}{729}+\frac{\sqrt{3}\,5{}\mathrm{i}}{729}\right)","Not used",1,"(5*log((25*(x^3 - 1)^(1/3))/6561 + 25/6561))/243 + (10*log((100*(x^3 - 1)^(1/3))/59049 + 100/59049))/729 + ((31*(x^3 - 1)^(4/3))/324 - (10*(x^3 - 1)^(1/3))/243 + (2*(x^3 - 1)^(7/3))/27 + (5*(x^3 - 1)^(10/3))/243)/(6*(x^3 - 1)^2 + 4*(x^3 - 1)^3 + (x^3 - 1)^4 + 4*x^3 - 3) + ((13*(x^3 - 1)^(4/3))/162 - (5*(x^3 - 1)^(1/3))/81 + (5*(x^3 - 1)^(7/3))/162)/(3*(x^3 - 1)^2 + (x^3 - 1)^3 + 3*x^3 - 2) - log((3^(1/2)*5i)/54 - (5*(x^3 - 1)^(1/3))/27 + 5/54)*((3^(1/2)*5i)/486 + 5/486) + log((3^(1/2)*5i)/54 + (5*(x^3 - 1)^(1/3))/27 - 5/54)*((3^(1/2)*5i)/486 - 5/486) - log((3^(1/2)*5i)/81 - (10*(x^3 - 1)^(1/3))/81 + 5/81)*((3^(1/2)*5i)/729 + 5/729) + log((3^(1/2)*5i)/81 + (10*(x^3 - 1)^(1/3))/81 - 5/81)*((3^(1/2)*5i)/729 - 5/729)","B"
1588,0,-1,109,0.000000,"\text{Not used}","int(((b - x)*(a - 3*b + 2*x))/(((a - x)*(b - x))^(3/4)*(a - x)*(b - a^3*d + d*x^3 + x*(3*a^2*d - 1) - 3*a*d*x^2)),x)","\int \frac{\left(b-x\right)\,\left(a-3\,b+2\,x\right)}{{\left(\left(a-x\right)\,\left(b-x\right)\right)}^{3/4}\,\left(a-x\right)\,\left(b-a^3\,d+d\,x^3+x\,\left(3\,a^2\,d-1\right)-3\,a\,d\,x^2\right)} \,d x","Not used",1,"int(((b - x)*(a - 3*b + 2*x))/(((a - x)*(b - x))^(3/4)*(a - x)*(b - a^3*d + d*x^3 + x*(3*a^2*d - 1) - 3*a*d*x^2)), x)","F"
1589,0,-1,109,0.000000,"\text{Not used}","int(x^8*(a*x^4 - b)^(3/4),x)","\int x^8\,{\left(a\,x^4-b\right)}^{3/4} \,d x","Not used",1,"int(x^8*(a*x^4 - b)^(3/4), x)","F"
1590,0,-1,109,0.000000,"\text{Not used}","int(1/((a*x^4 - b*x)^(1/4)*(b + a*x^3)),x)","\int \frac{1}{{\left(a\,x^4-b\,x\right)}^{1/4}\,\left(a\,x^3+b\right)} \,d x","Not used",1,"int(1/((a*x^4 - b*x)^(1/4)*(b + a*x^3)), x)","F"
1591,0,-1,109,0.000000,"\text{Not used}","int(-(a*x^4 - b*x^2)^(1/4)/(x^4*(b - a*x^4)),x)","-\int \frac{{\left(a\,x^4-b\,x^2\right)}^{1/4}}{x^4\,\left(b-a\,x^4\right)} \,d x","Not used",1,"-int((a*x^4 - b*x^2)^(1/4)/(x^4*(b - a*x^4)), x)","F"
1592,0,-1,109,0.000000,"\text{Not used}","int(-(a*x^4 - b*x^2)^(1/4)/(x^4*(b - a*x^4)),x)","-\int \frac{{\left(a\,x^4-b\,x^2\right)}^{1/4}}{x^4\,\left(b-a\,x^4\right)} \,d x","Not used",1,"-int((a*x^4 - b*x^2)^(1/4)/(x^4*(b - a*x^4)), x)","F"
1593,0,-1,109,0.000000,"\text{Not used}","int(((x*(k + 1) - 2)*(x^2*(a + k) - x*(k + 1) + 1))/((x*(k*x - 1)*(x - 1))^(1/3)*(x^4*(c*k - b + k^2) - x^3*(c + 2*k + c*k + 2*k^2) + x^2*(c + 4*k + k^2 + 1) - 2*x*(k + 1) + 1)),x)","\int \frac{\left(x\,\left(k+1\right)-2\right)\,\left(\left(a+k\right)\,x^2+\left(-k-1\right)\,x+1\right)}{{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{1/3}\,\left(x^4\,\left(k^2+c\,k-b\right)-x^3\,\left(c+2\,k+c\,k+2\,k^2\right)+x^2\,\left(k^2+4\,k+c+1\right)-2\,x\,\left(k+1\right)+1\right)} \,d x","Not used",1,"int(((x*(k + 1) - 2)*(x^2*(a + k) - x*(k + 1) + 1))/((x*(k*x - 1)*(x - 1))^(1/3)*(x^4*(c*k - b + k^2) - x^3*(c + 2*k + c*k + 2*k^2) + x^2*(c + 4*k + k^2 + 1) - 2*x*(k + 1) + 1)), x)","F"
1594,0,-1,109,0.000000,"\text{Not used}","int(((x^6 - 1)^(1/3)*(x^6 + 1))/x^3,x)","\int \frac{{\left(x^6-1\right)}^{1/3}\,\left(x^6+1\right)}{x^3} \,d x","Not used",1,"int(((x^6 - 1)^(1/3)*(x^6 + 1))/x^3, x)","F"
1595,0,-1,109,0.000000,"\text{Not used}","int(((x^3 + 1)^(2/3)*(x^6 - 2*x^3 + 1))/(x^6*(x^6 - 2)),x)","\int \frac{{\left(x^3+1\right)}^{2/3}\,\left(x^6-2\,x^3+1\right)}{x^6\,\left(x^6-2\right)} \,d x","Not used",1,"int(((x^3 + 1)^(2/3)*(x^6 - 2*x^3 + 1))/(x^6*(x^6 - 2)), x)","F"
1596,0,-1,109,0.000000,"\text{Not used}","int(((x^3 + 1)^(2/3)*(x^6 - 2*x^3 + 1))/(x^6*(x^6 - 2)),x)","\int \frac{{\left(x^3+1\right)}^{2/3}\,\left(x^6-2\,x^3+1\right)}{x^6\,\left(x^6-2\right)} \,d x","Not used",1,"int(((x^3 + 1)^(2/3)*(x^6 - 2*x^3 + 1))/(x^6*(x^6 - 2)), x)","F"
1597,0,-1,109,0.000000,"\text{Not used}","int(((x^6 - 1)^(1/3)*(2*x^6 - 1))/x^9,x)","\int \frac{{\left(x^6-1\right)}^{1/3}\,\left(2\,x^6-1\right)}{x^9} \,d x","Not used",1,"int(((x^6 - 1)^(1/3)*(2*x^6 - 1))/x^9, x)","F"
1598,0,-1,109,0.000000,"\text{Not used}","int(((x^3 - 1)^(2/3)*(x^6 - 1))/(x^6*(x^3 + 2*x^6 - 2)),x)","\int \frac{{\left(x^3-1\right)}^{2/3}\,\left(x^6-1\right)}{x^6\,\left(2\,x^6+x^3-2\right)} \,d x","Not used",1,"int(((x^3 - 1)^(2/3)*(x^6 - 1))/(x^6*(x^3 + 2*x^6 - 2)), x)","F"
1599,0,-1,109,0.000000,"\text{Not used}","int(((x^3 - 1)^(2/3)*(x^6 - 1))/(x^6*(x^3 + 2*x^6 - 2)),x)","\int \frac{{\left(x^3-1\right)}^{2/3}\,\left(x^6-1\right)}{x^6\,\left(2\,x^6+x^3-2\right)} \,d x","Not used",1,"int(((x^3 - 1)^(2/3)*(x^6 - 1))/(x^6*(x^3 + 2*x^6 - 2)), x)","F"
1600,0,-1,109,0.000000,"\text{Not used}","int(((x^4 - 1)^(1/4)*(2*x^8 - x^4 + 2))/(x^10*(2*x^4 - 1)),x)","\int \frac{{\left(x^4-1\right)}^{1/4}\,\left(2\,x^8-x^4+2\right)}{x^{10}\,\left(2\,x^4-1\right)} \,d x","Not used",1,"int(((x^4 - 1)^(1/4)*(2*x^8 - x^4 + 2))/(x^10*(2*x^4 - 1)), x)","F"
1601,0,-1,109,0.000000,"\text{Not used}","int(((x^6 + 2)*(x^8 - 2*x^6 + x^12 + 1))/(x^8*(x^6 - 1)^(1/4)*(x^4 + x^6 - 1)),x)","\int \frac{\left(x^6+2\right)\,\left(x^{12}+x^8-2\,x^6+1\right)}{x^8\,{\left(x^6-1\right)}^{1/4}\,\left(x^6+x^4-1\right)} \,d x","Not used",1,"int(((x^6 + 2)*(x^8 - 2*x^6 + x^12 + 1))/(x^8*(x^6 - 1)^(1/4)*(x^4 + x^6 - 1)), x)","F"
1602,0,-1,109,0.000000,"\text{Not used}","int((x + x^2)^(1/2)/(x*(x^2 + x*(x + x^2)^(1/2))^(1/2)),x)","\int \frac{\sqrt{x^2+x}}{x\,\sqrt{x^2+x\,\sqrt{x^2+x}}} \,d x","Not used",1,"int((x + x^2)^(1/2)/(x*(x^2 + x*(x + x^2)^(1/2))^(1/2)), x)","F"
1603,0,-1,109,0.000000,"\text{Not used}","int((x^2 + x*(x + x^2)^(1/2))^(1/2)/(x + x^2)^(1/2),x)","\int \frac{\sqrt{x^2+x\,\sqrt{x^2+x}}}{\sqrt{x^2+x}} \,d x","Not used",1,"int((x^2 + x*(x + x^2)^(1/2))^(1/2)/(x + x^2)^(1/2), x)","F"
1604,0,-1,109,0.000000,"\text{Not used}","int(1/(b + (a*x^2 + b^2)^(1/2))^(1/2),x)","\int \frac{1}{\sqrt{b+\sqrt{b^2+a\,x^2}}} \,d x","Not used",1,"int(1/(b + (a*x^2 + b^2)^(1/2))^(1/2), x)","F"
1605,0,-1,109,0.000000,"\text{Not used}","int((a*x^2 + b^2)^2*(b + (a*x^2 + b^2)^(1/2))^(1/2),x)","\int {\left(b^2+a\,x^2\right)}^2\,\sqrt{b+\sqrt{b^2+a\,x^2}} \,d x","Not used",1,"int((a*x^2 + b^2)^2*(b + (a*x^2 + b^2)^(1/2))^(1/2), x)","F"
1606,0,-1,110,0.000000,"\text{Not used}","int(-1/((x^3 - x)^(1/3)*(3*x - 1)),x)","-\int \frac{1}{{\left(x^3-x\right)}^{1/3}\,\left(3\,x-1\right)} \,d x","Not used",1,"-int(1/((x^3 - x)^(1/3)*(3*x - 1)), x)","F"
1607,0,-1,110,0.000000,"\text{Not used}","int(1/((x^3 - x)^(1/3)*(3*x + 1)),x)","\int \frac{1}{{\left(x^3-x\right)}^{1/3}\,\left(3\,x+1\right)} \,d x","Not used",1,"int(1/((x^3 - x)^(1/3)*(3*x + 1)), x)","F"
1608,0,-1,110,0.000000,"\text{Not used}","int(x/(x^3 - x^2)^(1/3),x)","\int \frac{x}{{\left(x^3-x^2\right)}^{1/3}} \,d x","Not used",1,"int(x/(x^3 - x^2)^(1/3), x)","F"
1609,0,-1,110,0.000000,"\text{Not used}","int(-(1 - x^3)^(5/3)/(x^6*(2*x^3 - 1)),x)","-\int \frac{{\left(1-x^3\right)}^{5/3}}{x^6\,\left(2\,x^3-1\right)} \,d x","Not used",1,"-int((1 - x^3)^(5/3)/(x^6*(2*x^3 - 1)), x)","F"
1610,0,-1,110,0.000000,"\text{Not used}","int((2*b + a*x)/((a*x^3 + b*x^2)^(1/4)*(b + a*x + x^2)),x)","\int \frac{2\,b+a\,x}{{\left(a\,x^3+b\,x^2\right)}^{1/4}\,\left(x^2+a\,x+b\right)} \,d x","Not used",1,"int((2*b + a*x)/((a*x^3 + b*x^2)^(1/4)*(b + a*x + x^2)), x)","F"
1611,0,-1,110,0.000000,"\text{Not used}","int(-(x^3*(x + x^4)^(1/2))/(b - a*x^3),x)","-\int \frac{x^3\,\sqrt{x^4+x}}{b-a\,x^3} \,d x","Not used",1,"-int((x^3*(x + x^4)^(1/2))/(b - a*x^3), x)","F"
1612,0,-1,110,0.000000,"\text{Not used}","int(x^9*(x^6 + 1)^(1/3),x)","\int x^9\,{\left(x^6+1\right)}^{1/3} \,d x","Not used",1,"int(x^9*(x^6 + 1)^(1/3), x)","F"
1613,0,-1,110,0.000000,"\text{Not used}","int(((x^3 - 1)^(2/3)*(x^3 + 2))/(x^6*(x^6 + 4)),x)","\int \frac{{\left(x^3-1\right)}^{2/3}\,\left(x^3+2\right)}{x^6\,\left(x^6+4\right)} \,d x","Not used",1,"int(((x^3 - 1)^(2/3)*(x^3 + 2))/(x^6*(x^6 + 4)), x)","F"
1614,0,-1,110,0.000000,"\text{Not used}","int(((x^3 - 1)^(2/3)*(x^3 + 2))/(x^6*(x^6 + 4)),x)","\int \frac{{\left(x^3-1\right)}^{2/3}\,\left(x^3+2\right)}{x^6\,\left(x^6+4\right)} \,d x","Not used",1,"int(((x^3 - 1)^(2/3)*(x^3 + 2))/(x^6*(x^6 + 4)), x)","F"
1615,1,77,110,1.195637,"\text{Not used}","int((b - a*x^3 + x^6)/(x^6*(b*x + a*x^4)^(1/4)),x)","\frac{4\,x\,{\left(\frac{a\,x^3}{b}+1\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{1}{4};\ \frac{5}{4};\ -\frac{a\,x^3}{b}\right)}{3\,{\left(a\,x^4+b\,x\right)}^{1/4}}-\frac{4\,{\left(a\,x^4+b\,x\right)}^{3/4}}{21\,x^6}+\frac{44\,a\,{\left(a\,x^4+b\,x\right)}^{3/4}}{63\,b\,x^3}","Not used",1,"(4*x*((a*x^3)/b + 1)^(1/4)*hypergeom([1/4, 1/4], 5/4, -(a*x^3)/b))/(3*(b*x + a*x^4)^(1/4)) - (4*(b*x + a*x^4)^(3/4))/(21*x^6) + (44*a*(b*x + a*x^4)^(3/4))/(63*b*x^3)","B"
1616,1,71,110,1.302082,"\text{Not used}","int(-(b - a*x^6)/(x^6*(b*x + a*x^4)^(1/4)),x)","\frac{4\,{\left(a\,x^4+b\,x\right)}^{3/4}\,\left(3\,b-4\,a\,x^3\right)}{63\,b\,x^6}+\frac{4\,a\,x\,{\left(\frac{a\,x^3}{b}+1\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{1}{4};\ \frac{5}{4};\ -\frac{a\,x^3}{b}\right)}{3\,{\left(a\,x^4+b\,x\right)}^{1/4}}","Not used",1,"(4*(b*x + a*x^4)^(3/4)*(3*b - 4*a*x^3))/(63*b*x^6) + (4*a*x*((a*x^3)/b + 1)^(1/4)*hypergeom([1/4, 1/4], 5/4, -(a*x^3)/b))/(3*(b*x + a*x^4)^(1/4))","B"
1617,1,71,110,1.237547,"\text{Not used}","int((b + a*x^6)/(x^6*(b*x + a*x^4)^(1/4)),x)","\frac{4\,a\,x\,{\left(\frac{a\,x^3}{b}+1\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{1}{4};\ \frac{5}{4};\ -\frac{a\,x^3}{b}\right)}{3\,{\left(a\,x^4+b\,x\right)}^{1/4}}-\frac{4\,{\left(a\,x^4+b\,x\right)}^{3/4}\,\left(3\,b-4\,a\,x^3\right)}{63\,b\,x^6}","Not used",1,"(4*a*x*((a*x^3)/b + 1)^(1/4)*hypergeom([1/4, 1/4], 5/4, -(a*x^3)/b))/(3*(b*x + a*x^4)^(1/4)) - (4*(b*x + a*x^4)^(3/4)*(3*b - 4*a*x^3))/(63*b*x^6)","B"
1618,0,-1,110,0.000000,"\text{Not used}","int(-(3*b - 2*a*x^5)/((b*x + a*x^6)^(1/4)*(2*b + 2*a*x^5 + x^3)),x)","\int -\frac{3\,b-2\,a\,x^5}{{\left(a\,x^6+b\,x\right)}^{1/4}\,\left(2\,a\,x^5+x^3+2\,b\right)} \,d x","Not used",1,"int(-(3*b - 2*a*x^5)/((b*x + a*x^6)^(1/4)*(2*b + 2*a*x^5 + x^3)), x)","F"
1619,0,-1,110,0.000000,"\text{Not used}","int(1/((2*b + a^6*x^6)*(a^3*x^3 + b^2*x^2)^(1/3)),x)","\int \frac{1}{\left(a^6\,x^6+2\,b\right)\,{\left(a^3\,x^3+b^2\,x^2\right)}^{1/3}} \,d x","Not used",1,"int(1/((2*b + a^6*x^6)*(a^3*x^3 + b^2*x^2)^(1/3)), x)","F"
1620,0,-1,110,0.000000,"\text{Not used}","int(1/((2*b + a^6*x^6)*(a^3*x^3 + b^2*x^2)^(1/3)),x)","\int \frac{1}{\left(a^6\,x^6+2\,b\right)\,{\left(a^3\,x^3+b^2\,x^2\right)}^{1/3}} \,d x","Not used",1,"int(1/((2*b + a^6*x^6)*(a^3*x^3 + b^2*x^2)^(1/3)), x)","F"
1621,0,-1,110,0.000000,"\text{Not used}","int(((x^4 - 1)*(x^2 + 3*x^4 + x^6 + x^8 + 1))/((x^2 + x^4 + 1)^(3/2)*(3*x^2 + 5*x^4 + 3*x^6 + x^8 + 1)),x)","\int \frac{\left(x^4-1\right)\,\left(x^8+x^6+3\,x^4+x^2+1\right)}{{\left(x^4+x^2+1\right)}^{3/2}\,\left(x^8+3\,x^6+5\,x^4+3\,x^2+1\right)} \,d x","Not used",1,"int(((x^4 - 1)*(x^2 + 3*x^4 + x^6 + x^8 + 1))/((x^2 + x^4 + 1)^(3/2)*(3*x^2 + 5*x^4 + 3*x^6 + x^8 + 1)), x)","F"
1622,0,-1,110,0.000000,"\text{Not used}","int(-(b - a*x^8)/((b + a*x^4)^(1/4)*(b + a*x^8)),x)","\int -\frac{b-a\,x^8}{{\left(a\,x^4+b\right)}^{1/4}\,\left(a\,x^8+b\right)} \,d x","Not used",1,"int(-(b - a*x^8)/((b + a*x^4)^(1/4)*(b + a*x^8)), x)","F"
1623,0,-1,110,0.000000,"\text{Not used}","int(-(b - a*x^8)/((b + a*x^4)^(1/4)*(b + a*x^8)),x)","\int -\frac{b-a\,x^8}{{\left(a\,x^4+b\right)}^{1/4}\,\left(a\,x^8+b\right)} \,d x","Not used",1,"int(-(b - a*x^8)/((b + a*x^4)^(1/4)*(b + a*x^8)), x)","F"
1624,0,-1,110,0.000000,"\text{Not used}","int(((2*x + 2*x^5 - 3)*(x - x^2 + x^6)^(1/2))/(x^2 - 2*x - x^3 + x^4 + 2*x^5 - 3*x^6 - x^8 + x^10 + 1),x)","\int \frac{\left(2\,x^5+2\,x-3\right)\,\sqrt{x^6-x^2+x}}{x^{10}-x^8-3\,x^6+2\,x^5+x^4-x^3+x^2-2\,x+1} \,d x","Not used",1,"int(((2*x + 2*x^5 - 3)*(x - x^2 + x^6)^(1/2))/(x^2 - 2*x - x^3 + x^4 + 2*x^5 - 3*x^6 - x^8 + x^10 + 1), x)","F"
1625,0,-1,110,0.000000,"\text{Not used}","int((x + (x + 1)^(1/2))^(1/2)/(x^2*(x + 1)^(1/2)),x)","\int \frac{\sqrt{x+\sqrt{x+1}}}{x^2\,\sqrt{x+1}} \,d x","Not used",1,"int((x + (x + 1)^(1/2))^(1/2)/(x^2*(x + 1)^(1/2)), x)","F"
1626,0,-1,110,0.000000,"\text{Not used}","int((x + (x + 1)^(1/2))^(1/2)/(x*(x + 1)^(1/2)),x)","\int \frac{\sqrt{x+\sqrt{x+1}}}{x\,\sqrt{x+1}} \,d x","Not used",1,"int((x + (x + 1)^(1/2))^(1/2)/(x*(x + 1)^(1/2)), x)","F"
1627,0,-1,110,0.000000,"\text{Not used}","int((a*x + (a*x - b)^(1/2))^(1/2)/(a*x - b)^(1/2),x)","\int \frac{\sqrt{a\,x+\sqrt{a\,x-b}}}{\sqrt{a\,x-b}} \,d x","Not used",1,"int((a*x + (a*x - b)^(1/2))^(1/2)/(a*x - b)^(1/2), x)","F"
1628,1,279,110,1.189810,"\text{Not used}","int((b*(a + b*x)^(1/2) - a*x + 1)/((x + a*b*(a + b*x)^(1/2))*(a + b*x)^(1/2)),x)","\frac{\ln\left(4\,a+2\,\sqrt{a\,\left(a\,b^4+4\right)}\,\sqrt{a+b\,x}+a^2\,b^4+a\,b^2\,\sqrt{a\,\left(a\,b^4+4\right)}\right)\,\left(a\,b\,\left(a\,b^4+4\right)-2\,\sqrt{a\,\left(a\,b^4+4\right)}+a^3\,b\,\left(a\,b^4+4\right)+a\,b^3\,\sqrt{a\,\left(a\,b^4+4\right)}+a^3\,b^3\,\sqrt{a\,\left(a\,b^4+4\right)}\right)}{a\,\left(a\,b^4+4\right)}-\frac{2\,a\,\sqrt{a+b\,x}}{b}+\frac{\ln\left(4\,a-2\,\sqrt{a\,\left(a\,b^4+4\right)}\,\sqrt{a+b\,x}+a^2\,b^4-a\,b^2\,\sqrt{a\,\left(a\,b^4+4\right)}\right)\,\left(2\,\sqrt{a\,\left(a\,b^4+4\right)}+a\,b\,\left(a\,b^4+4\right)+a^3\,b\,\left(a\,b^4+4\right)-a\,b^3\,\sqrt{a\,\left(a\,b^4+4\right)}-a^3\,b^3\,\sqrt{a\,\left(a\,b^4+4\right)}\right)}{a\,\left(a\,b^4+4\right)}","Not used",1,"(log(4*a + 2*(a*(a*b^4 + 4))^(1/2)*(a + b*x)^(1/2) + a^2*b^4 + a*b^2*(a*(a*b^4 + 4))^(1/2))*(a*b*(a*b^4 + 4) - 2*(a*(a*b^4 + 4))^(1/2) + a^3*b*(a*b^4 + 4) + a*b^3*(a*(a*b^4 + 4))^(1/2) + a^3*b^3*(a*(a*b^4 + 4))^(1/2)))/(a*(a*b^4 + 4)) - (2*a*(a + b*x)^(1/2))/b + (log(4*a - 2*(a*(a*b^4 + 4))^(1/2)*(a + b*x)^(1/2) + a^2*b^4 - a*b^2*(a*(a*b^4 + 4))^(1/2))*(2*(a*(a*b^4 + 4))^(1/2) + a*b*(a*b^4 + 4) + a^3*b*(a*b^4 + 4) - a*b^3*(a*(a*b^4 + 4))^(1/2) - a^3*b^3*(a*(a*b^4 + 4))^(1/2)))/(a*(a*b^4 + 4))","B"
1629,0,-1,110,0.000000,"\text{Not used}","int((b + (a*x^2 + b^2)^(1/2))^(1/2)/x^2,x)","\int \frac{\sqrt{b+\sqrt{b^2+a\,x^2}}}{x^2} \,d x","Not used",1,"int((b + (a*x^2 + b^2)^(1/2))^(1/2)/x^2, x)","F"
1630,0,-1,110,0.000000,"\text{Not used}","int(1/((a^2*x^2 - b*x)^(1/2)*(a*x^2 + x*(a^2*x^2 - b*x)^(1/2))^(3/2)),x)","\int \frac{1}{\sqrt{a^2\,x^2-b\,x}\,{\left(a\,x^2+x\,\sqrt{a^2\,x^2-b\,x}\right)}^{3/2}} \,d x","Not used",1,"int(1/((a^2*x^2 - b*x)^(1/2)*(a*x^2 + x*(a^2*x^2 - b*x)^(1/2))^(3/2)), x)","F"
1631,0,-1,110,0.000000,"\text{Not used}","int(1/((x + (x^2 + 1)^(1/2))^(1/2) + 1),x)","\int \frac{1}{\sqrt{x+\sqrt{x^2+1}}+1} \,d x","Not used",1,"int(1/((x + (x^2 + 1)^(1/2))^(1/2) + 1), x)","F"
1632,0,-1,111,0.000000,"\text{Not used}","int((x - 2)/((x^2 + 2)*(x + 2*x^2 - 1)^(1/3)),x)","\int \frac{x-2}{\left(x^2+2\right)\,{\left(2\,x^2+x-1\right)}^{1/3}} \,d x","Not used",1,"int((x - 2)/((x^2 + 2)*(x + 2*x^2 - 1)^(1/3)), x)","F"
1633,0,-1,111,0.000000,"\text{Not used}","int(-((2*a*b - x*(a + b))*(a - x)*(b - x))/((x^2*(a - x)*(b - x))^(3/4)*(x*(a + b) - a*b + x^2*(d - 1))),x)","\int -\frac{\left(2\,a\,b-x\,\left(a+b\right)\right)\,\left(a-x\right)\,\left(b-x\right)}{{\left(x^2\,\left(a-x\right)\,\left(b-x\right)\right)}^{3/4}\,\left(\left(d-1\right)\,x^2+\left(a+b\right)\,x-a\,b\right)} \,d x","Not used",1,"int(-((2*a*b - x*(a + b))*(a - x)*(b - x))/((x^2*(a - x)*(b - x))^(3/4)*(x*(a + b) - a*b + x^2*(d - 1))), x)","F"
1634,1,509,111,0.968554,"\text{Not used}","int((x^2 - x + 1)/((x^3 + 1)^(1/2)*(2*x + x^2 - 2)),x)","\frac{2\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}+\frac{\left(3\,\sqrt{3}-6\right)\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{\sqrt{3}\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{3};\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{3\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}-\frac{\left(3\,\sqrt{3}+6\right)\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(-\frac{\sqrt{3}\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{3};\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{3\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(2*((3^(1/2)*1i)/2 + 3/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticF(asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2) + ((3*3^(1/2) - 6)*((3^(1/2)*1i)/2 + 3/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi((3^(1/2)*((3^(1/2)*1i)/2 + 3/2))/3, asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(3*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2)) - ((3*3^(1/2) + 6)*((3^(1/2)*1i)/2 + 3/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi(-(3^(1/2)*((3^(1/2)*1i)/2 + 3/2))/3, asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(3*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2))","B"
1635,1,44,111,1.170984,"\text{Not used}","int((x - 1)/(x*(x^3 - x^2)^(1/3)),x)","\frac{3\,x\,{\left(1-x\right)}^{1/3}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{3},\frac{1}{3};\ \frac{4}{3};\ x\right)}{{\left(x^3-x^2\right)}^{1/3}}-\frac{3\,{\left(x^3-x^2\right)}^{2/3}}{2\,x^2}","Not used",1,"(3*x*(1 - x)^(1/3)*hypergeom([1/3, 1/3], 4/3, x))/(x^3 - x^2)^(1/3) - (3*(x^3 - x^2)^(2/3))/(2*x^2)","B"
1636,1,44,111,0.885931,"\text{Not used}","int((x + 1)/(x*(x^3 - x^2)^(1/3)),x)","\frac{3\,{\left(x^3-x^2\right)}^{2/3}}{2\,x^2}+\frac{3\,x\,{\left(1-x\right)}^{1/3}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{3},\frac{1}{3};\ \frac{4}{3};\ x\right)}{{\left(x^3-x^2\right)}^{1/3}}","Not used",1,"(3*(x^3 - x^2)^(2/3))/(2*x^2) + (3*x*(1 - x)^(1/3)*hypergeom([1/3, 1/3], 4/3, x))/(x^3 - x^2)^(1/3)","B"
1637,0,-1,111,0.000000,"\text{Not used}","int(x^2/(x^2 + x^3)^(1/3),x)","\int \frac{x^2}{{\left(x^3+x^2\right)}^{1/3}} \,d x","Not used",1,"int(x^2/(x^2 + x^3)^(1/3), x)","F"
1638,0,-1,111,0.000000,"\text{Not used}","int(-((a - 3*b + 2*x)*(3*a*x^2 - 3*a^2*x + a^3 - x^3))/(((a - x)*(b - x))^(1/4)*(b - x)*(3*a*x^2 - b*d + x*(d - 3*a^2) + a^3 - x^3)),x)","\int -\frac{\left(a-3\,b+2\,x\right)\,\left(a^3-3\,a^2\,x+3\,a\,x^2-x^3\right)}{{\left(\left(a-x\right)\,\left(b-x\right)\right)}^{1/4}\,\left(b-x\right)\,\left(3\,a\,x^2-b\,d+x\,\left(d-3\,a^2\right)+a^3-x^3\right)} \,d x","Not used",1,"int(-((a - 3*b + 2*x)*(3*a*x^2 - 3*a^2*x + a^3 - x^3))/(((a - x)*(b - x))^(1/4)*(b - x)*(3*a*x^2 - b*d + x*(d - 3*a^2) + a^3 - x^3)), x)","F"
1639,0,-1,111,0.000000,"\text{Not used}","int(-(x^3*(k*x^2 - 2*x*(k + 1) + 3))/((k*x - 1)*(x - 1)*(x*(k*x - 1)*(x - 1))^(1/4)*(d - x^3 - d*x*(k + 1) + d*k*x^2)),x)","\int -\frac{x^3\,\left(k\,x^2-2\,x\,\left(k+1\right)+3\right)}{\left(k\,x-1\right)\,\left(x-1\right)\,{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{1/4}\,\left(-x^3+d\,k\,x^2-d\,\left(k+1\right)\,x+d\right)} \,d x","Not used",1,"int(-(x^3*(k*x^2 - 2*x*(k + 1) + 3))/((k*x - 1)*(x - 1)*(x*(k*x - 1)*(x - 1))^(1/4)*(d - x^3 - d*x*(k + 1) + d*k*x^2)), x)","F"
1640,0,-1,111,0.000000,"\text{Not used}","int(((x^3 + 2)*(2*x^3 + 1)^(2/3))/(x^6*(x^3 + 1)),x)","\int \frac{\left(x^3+2\right)\,{\left(2\,x^3+1\right)}^{2/3}}{x^6\,\left(x^3+1\right)} \,d x","Not used",1,"int(((x^3 + 2)*(2*x^3 + 1)^(2/3))/(x^6*(x^3 + 1)), x)","F"
1641,0,-1,111,0.000000,"\text{Not used}","int((3*a*b^2 + x^2*(a + 2*b) - 2*b*x*(2*a + b))/((-x*(a - x)*(b - x)^2)^(1/4)*(x^3*(d - 1) - d*x^2*(a + 2*b) - a*b^2*d + b*d*x*(2*a + b))),x)","\int \frac{3\,a\,b^2+x^2\,\left(a+2\,b\right)-2\,b\,x\,\left(2\,a+b\right)}{{\left(-x\,\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{1/4}\,\left(x^3\,\left(d-1\right)-d\,x^2\,\left(a+2\,b\right)-a\,b^2\,d+b\,d\,x\,\left(2\,a+b\right)\right)} \,d x","Not used",1,"int((3*a*b^2 + x^2*(a + 2*b) - 2*b*x*(2*a + b))/((-x*(a - x)*(b - x)^2)^(1/4)*(x^3*(d - 1) - d*x^2*(a + 2*b) - a*b^2*d + b*d*x*(2*a + b))), x)","F"
1642,0,-1,111,0.000000,"\text{Not used}","int(((a*x^4 - b*x^3)^(1/4)*(d + c*x))/x^2,x)","\int \frac{{\left(a\,x^4-b\,x^3\right)}^{1/4}\,\left(d+c\,x\right)}{x^2} \,d x","Not used",1,"int(((a*x^4 - b*x^3)^(1/4)*(d + c*x))/x^2, x)","F"
1643,0,-1,111,0.000000,"\text{Not used}","int(((x^5 + 3)*(x^3 + x^5 - 2)^(1/3))/(x^2*(x^5 - 2)),x)","\int \frac{\left(x^5+3\right)\,{\left(x^5+x^3-2\right)}^{1/3}}{x^2\,\left(x^5-2\right)} \,d x","Not used",1,"int(((x^5 + 3)*(x^3 + x^5 - 2)^(1/3))/(x^2*(x^5 - 2)), x)","F"
1644,0,-1,111,0.000000,"\text{Not used}","int(((x^5 - 3)*(x^3 + x^5 + 2)^(2/3))/(x^3*(x^5 + 2)),x)","\int \frac{\left(x^5-3\right)\,{\left(x^5+x^3+2\right)}^{2/3}}{x^3\,\left(x^5+2\right)} \,d x","Not used",1,"int(((x^5 - 3)*(x^3 + x^5 + 2)^(2/3))/(x^3*(x^5 + 2)), x)","F"
1645,0,-1,111,0.000000,"\text{Not used}","int(((x^6 - 1)^(1/3)*(x^6 + 1))/x^9,x)","\int \frac{{\left(x^6-1\right)}^{1/3}\,\left(x^6+1\right)}{x^9} \,d x","Not used",1,"int(((x^6 - 1)^(1/3)*(x^6 + 1))/x^9, x)","F"
1646,0,-1,111,0.000000,"\text{Not used}","int(-1/((2*b - a^6*x^6)*(a^3*x^3 + b^2*x^2)^(1/3)),x)","-\int \frac{1}{\left(2\,b-a^6\,x^6\right)\,{\left(a^3\,x^3+b^2\,x^2\right)}^{1/3}} \,d x","Not used",1,"-int(1/((2*b - a^6*x^6)*(a^3*x^3 + b^2*x^2)^(1/3)), x)","F"
1647,0,-1,111,0.000000,"\text{Not used}","int(-1/((2*b - a^6*x^6)*(a^3*x^3 + b^2*x^2)^(1/3)),x)","-\int \frac{1}{\left(2\,b-a^6\,x^6\right)\,{\left(a^3\,x^3+b^2\,x^2\right)}^{1/3}} \,d x","Not used",1,"-int(1/((2*b - a^6*x^6)*(a^3*x^3 + b^2*x^2)^(1/3)), x)","F"
1648,0,-1,111,0.000000,"\text{Not used}","int(1/(2*x^12 - 2*x^8 - 3*x^4 + 3*x^16 + x^20 - 1)^(1/4),x)","\int \frac{1}{{\left(x^{20}+3\,x^{16}+2\,x^{12}-2\,x^8-3\,x^4-1\right)}^{1/4}} \,d x","Not used",1,"int(1/(2*x^12 - 2*x^8 - 3*x^4 + 3*x^16 + x^20 - 1)^(1/4), x)","F"
1649,0,-1,111,0.000000,"\text{Not used}","int((x^2 + 1)/((c + (b + a*x)^(1/2))^(1/2)*(b + a*x)^(1/2)),x)","\int \frac{x^2+1}{\sqrt{c+\sqrt{b+a\,x}}\,\sqrt{b+a\,x}} \,d x","Not used",1,"int((x^2 + 1)/((c + (b + a*x)^(1/2))^(1/2)*(b + a*x)^(1/2)), x)","F"
1650,0,-1,111,0.000000,"\text{Not used}","int(x^2/((a*x + (a^2*x^2 - b)^(1/2))^(1/4)*(a^2*x^2 - b)^(1/2)),x)","\int \frac{x^2}{{\left(a\,x+\sqrt{a^2\,x^2-b}\right)}^{1/4}\,\sqrt{a^2\,x^2-b}} \,d x","Not used",1,"int(x^2/((a*x + (a^2*x^2 - b)^(1/2))^(1/4)*(a^2*x^2 - b)^(1/2)), x)","F"
1651,0,-1,112,0.000000,"\text{Not used}","int(x^2*(x^3 - x)^(1/3),x)","\int x^2\,{\left(x^3-x\right)}^{1/3} \,d x","Not used",1,"int(x^2*(x^3 - x)^(1/3), x)","F"
1652,0,-1,112,0.000000,"\text{Not used}","int(x^6*(x + x^3)^(1/3),x)","\int x^6\,{\left(x^3+x\right)}^{1/3} \,d x","Not used",1,"int(x^6*(x + x^3)^(1/3), x)","F"
1653,1,72,112,1.138035,"\text{Not used}","int((2*x - 3)/(x*(x^4 - 1)^(1/4)),x)","\frac{2\,x\,{\left(1-x^4\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{1}{4};\ \frac{5}{4};\ x^4\right)}{{\left(x^4-1\right)}^{1/4}}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,{\left(x^4-1\right)}^{1/4}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{3}{4}+\frac{3}{4}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,{\left(x^4-1\right)}^{1/4}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{3}{4}-\frac{3}{4}{}\mathrm{i}\right)","Not used",1,"(2*x*(1 - x^4)^(1/4)*hypergeom([1/4, 1/4], 5/4, x^4))/(x^4 - 1)^(1/4) - 2^(1/2)*atan(2^(1/2)*(x^4 - 1)^(1/4)*(1/2 + 1i/2))*(3/4 + 3i/4) - 2^(1/2)*atan(2^(1/2)*(x^4 - 1)^(1/4)*(1/2 - 1i/2))*(3/4 - 3i/4)","B"
1654,0,-1,112,0.000000,"\text{Not used}","int(((x^4 - 3)*(x^3 - x^4 - 1)^(1/3))/(x^2*(x^4 + 1)),x)","\int \frac{\left(x^4-3\right)\,{\left(-x^4+x^3-1\right)}^{1/3}}{x^2\,\left(x^4+1\right)} \,d x","Not used",1,"int(((x^4 - 3)*(x^3 - x^4 - 1)^(1/3))/(x^2*(x^4 + 1)), x)","F"
1655,0,-1,112,0.000000,"\text{Not used}","int(-(x^3*(x^4 - x)^(1/2))/(b - a*x^3),x)","-\int \frac{x^3\,\sqrt{x^4-x}}{b-a\,x^3} \,d x","Not used",1,"-int((x^3*(x^4 - x)^(1/2))/(b - a*x^3), x)","F"
1656,0,-1,112,0.000000,"\text{Not used}","int((2*x^4 + 1)/((x^2 + x^4)^(1/4)*(x^4 - 1)),x)","\int \frac{2\,x^4+1}{{\left(x^4+x^2\right)}^{1/4}\,\left(x^4-1\right)} \,d x","Not used",1,"int((2*x^4 + 1)/((x^2 + x^4)^(1/4)*(x^4 - 1)), x)","F"
1657,0,-1,112,0.000000,"\text{Not used}","int(-(b + a*x^2)/(x^2*(b - a*x^2)*(a*x^4 + b*x^2)^(1/4)),x)","-\int \frac{a\,x^2+b}{x^2\,\left(b-a\,x^2\right)\,{\left(a\,x^4+b\,x^2\right)}^{1/4}} \,d x","Not used",1,"-int((b + a*x^2)/(x^2*(b - a*x^2)*(a*x^4 + b*x^2)^(1/4)), x)","F"
1658,0,-1,112,0.000000,"\text{Not used}","int(x*(a*x^4 + b*x^3)^(1/4),x)","\int x\,{\left(a\,x^4+b\,x^3\right)}^{1/4} \,d x","Not used",1,"int(x*(a*x^4 + b*x^3)^(1/4), x)","F"
1659,0,-1,112,0.000000,"\text{Not used}","int(-(2*b - a*x^3)/((a*x^5 + b*x^2)^(1/4)*(b + a*x^3 + x^2)),x)","\int -\frac{2\,b-a\,x^3}{{\left(a\,x^5+b\,x^2\right)}^{1/4}\,\left(a\,x^3+x^2+b\right)} \,d x","Not used",1,"int(-(2*b - a*x^3)/((a*x^5 + b*x^2)^(1/4)*(b + a*x^3 + x^2)), x)","F"
1660,0,-1,112,0.000000,"\text{Not used}","int(-(b - a*x^2)/((a*x^5 + b*x^3)^(1/4)*(b + x + a*x^2)),x)","\int -\frac{b-a\,x^2}{{\left(a\,x^5+b\,x^3\right)}^{1/4}\,\left(a\,x^2+x+b\right)} \,d x","Not used",1,"int(-(b - a*x^2)/((a*x^5 + b*x^3)^(1/4)*(b + x + a*x^2)), x)","F"
1661,0,-1,112,0.000000,"\text{Not used}","int(x^13/(x^6 - 1)^(1/3),x)","\int \frac{x^{13}}{{\left(x^6-1\right)}^{1/3}} \,d x","Not used",1,"int(x^13/(x^6 - 1)^(1/3), x)","F"
1662,0,-1,112,0.000000,"\text{Not used}","int(x^9*(x^6 - 1)^(1/3),x)","\int x^9\,{\left(x^6-1\right)}^{1/3} \,d x","Not used",1,"int(x^9*(x^6 - 1)^(1/3), x)","F"
1663,0,-1,112,0.000000,"\text{Not used}","int(x^7*(x^6 - 1)^(2/3),x)","\int x^7\,{\left(x^6-1\right)}^{2/3} \,d x","Not used",1,"int(x^7*(x^6 - 1)^(2/3), x)","F"
1664,0,-1,112,0.000000,"\text{Not used}","int(x^13/(x^6 + 1)^(1/3),x)","\int \frac{x^{13}}{{\left(x^6+1\right)}^{1/3}} \,d x","Not used",1,"int(x^13/(x^6 + 1)^(1/3), x)","F"
1665,0,-1,112,0.000000,"\text{Not used}","int(x^7*(x^6 + 1)^(2/3),x)","\int x^7\,{\left(x^6+1\right)}^{2/3} \,d x","Not used",1,"int(x^7*(x^6 + 1)^(2/3), x)","F"
1666,0,-1,112,0.000000,"\text{Not used}","int(((x^3 + 1)^(2/3)*(x^3 + 4))/(x^6*(x^6 - 4*x^3 + 8)),x)","\int \frac{{\left(x^3+1\right)}^{2/3}\,\left(x^3+4\right)}{x^6\,\left(x^6-4\,x^3+8\right)} \,d x","Not used",1,"int(((x^3 + 1)^(2/3)*(x^3 + 4))/(x^6*(x^6 - 4*x^3 + 8)), x)","F"
1667,0,-1,112,0.000000,"\text{Not used}","int(((x^3 + 1)^(2/3)*(x^3 + 4))/(x^6*(x^6 - 4*x^3 + 8)),x)","\int \frac{{\left(x^3+1\right)}^{2/3}\,\left(x^3+4\right)}{x^6\,\left(x^6-4\,x^3+8\right)} \,d x","Not used",1,"int(((x^3 + 1)^(2/3)*(x^3 + 4))/(x^6*(x^6 - 4*x^3 + 8)), x)","F"
1668,0,-1,112,0.000000,"\text{Not used}","int(((x^3 + 1)^(2/3)*(x^3 + 2)*(3*x^3 + 4))/(x^6*(2*x^3 + x^6 + 4)),x)","\int \frac{{\left(x^3+1\right)}^{2/3}\,\left(x^3+2\right)\,\left(3\,x^3+4\right)}{x^6\,\left(x^6+2\,x^3+4\right)} \,d x","Not used",1,"int(((x^3 + 1)^(2/3)*(x^3 + 2)*(3*x^3 + 4))/(x^6*(2*x^3 + x^6 + 4)), x)","F"
1669,0,-1,112,0.000000,"\text{Not used}","int(((x^3 + 1)^(2/3)*(x^3 + 2)*(3*x^3 + 4))/(x^6*(2*x^3 + x^6 + 4)),x)","\int \frac{{\left(x^3+1\right)}^{2/3}\,\left(x^3+2\right)\,\left(3\,x^3+4\right)}{x^6\,\left(x^6+2\,x^3+4\right)} \,d x","Not used",1,"int(((x^3 + 1)^(2/3)*(x^3 + 2)*(3*x^3 + 4))/(x^6*(2*x^3 + x^6 + 4)), x)","F"
1670,0,-1,112,0.000000,"\text{Not used}","int(((x^3 - 1)^(2/3)*(x^6 + 4))/(x^6*(2*x^3 + x^6 + 4)),x)","\int \frac{{\left(x^3-1\right)}^{2/3}\,\left(x^6+4\right)}{x^6\,\left(x^6+2\,x^3+4\right)} \,d x","Not used",1,"int(((x^3 - 1)^(2/3)*(x^6 + 4))/(x^6*(2*x^3 + x^6 + 4)), x)","F"
1671,0,-1,112,0.000000,"\text{Not used}","int(((x^3 - 1)^(2/3)*(x^6 + 4))/(x^6*(2*x^3 + x^6 + 4)),x)","\int \frac{{\left(x^3-1\right)}^{2/3}\,\left(x^6+4\right)}{x^6\,\left(x^6+2\,x^3+4\right)} \,d x","Not used",1,"int(((x^3 - 1)^(2/3)*(x^6 + 4))/(x^6*(2*x^3 + x^6 + 4)), x)","F"
1672,0,-1,112,0.000000,"\text{Not used}","int(-((x^3 - 1)^(2/3)*(x^6 - x^3 + 1))/(x^6*(x^3 - 2*x^6 + 2)),x)","\int -\frac{{\left(x^3-1\right)}^{2/3}\,\left(x^6-x^3+1\right)}{x^6\,\left(-2\,x^6+x^3+2\right)} \,d x","Not used",1,"int(-((x^3 - 1)^(2/3)*(x^6 - x^3 + 1))/(x^6*(x^3 - 2*x^6 + 2)), x)","F"
1673,0,-1,112,0.000000,"\text{Not used}","int(-((x^3 - 1)^(2/3)*(x^6 - x^3 + 1))/(x^6*(x^3 - 2*x^6 + 2)),x)","\int -\frac{{\left(x^3-1\right)}^{2/3}\,\left(x^6-x^3+1\right)}{x^6\,\left(-2\,x^6+x^3+2\right)} \,d x","Not used",1,"int(-((x^3 - 1)^(2/3)*(x^6 - x^3 + 1))/(x^6*(x^3 - 2*x^6 + 2)), x)","F"
1674,0,-1,112,0.000000,"\text{Not used}","int(((x^3 + 1)^(2/3)*(6*x^3 + 3*x^6 + 4))/(x^6*(6*x^3 + 3*x^6 + 8)),x)","\int \frac{{\left(x^3+1\right)}^{2/3}\,\left(3\,x^6+6\,x^3+4\right)}{x^6\,\left(3\,x^6+6\,x^3+8\right)} \,d x","Not used",1,"int(((x^3 + 1)^(2/3)*(6*x^3 + 3*x^6 + 4))/(x^6*(6*x^3 + 3*x^6 + 8)), x)","F"
1675,0,-1,112,0.000000,"\text{Not used}","int(((x^3 + 1)^(2/3)*(6*x^3 + 3*x^6 + 4))/(x^6*(6*x^3 + 3*x^6 + 8)),x)","\int \frac{{\left(x^3+1\right)}^{2/3}\,\left(3\,x^6+6\,x^3+4\right)}{x^6\,\left(3\,x^6+6\,x^3+8\right)} \,d x","Not used",1,"int(((x^3 + 1)^(2/3)*(6*x^3 + 3*x^6 + 4))/(x^6*(6*x^3 + 3*x^6 + 8)), x)","F"
1676,0,-1,112,0.000000,"\text{Not used}","int(((5*x^8 + 3)*(2*x^3 + x^8 - 1)^(1/3))/(x^2*(x^3 + x^8 - 1)),x)","\int \frac{\left(5\,x^8+3\right)\,{\left(x^8+2\,x^3-1\right)}^{1/3}}{x^2\,\left(x^8+x^3-1\right)} \,d x","Not used",1,"int(((5*x^8 + 3)*(2*x^3 + x^8 - 1)^(1/3))/(x^2*(x^3 + x^8 - 1)), x)","F"
1677,0,-1,112,0.000000,"\text{Not used}","int(((x^4 - 1)*((x^2 + 1)^(1/2) + 1)^(1/2))/(x^4 + 1),x)","\int \frac{\left(x^4-1\right)\,\sqrt{\sqrt{x^2+1}+1}}{x^4+1} \,d x","Not used",1,"int(((x^4 - 1)*((x^2 + 1)^(1/2) + 1)^(1/2))/(x^4 + 1), x)","F"
1678,0,-1,112,0.000000,"\text{Not used}","int(((x^4 - 1)*((x^2 + 1)^(1/2) + 1)^(1/2))/(x^4 + 1),x)","\int \frac{\left(x^4-1\right)\,\sqrt{\sqrt{x^2+1}+1}}{x^4+1} \,d x","Not used",1,"int(((x^4 - 1)*((x^2 + 1)^(1/2) + 1)^(1/2))/(x^4 + 1), x)","F"
1679,0,-1,112,0.000000,"\text{Not used}","int((b^2 + a^2*x^2)^(1/2)/(a*x + (b^2 + a^2*x^2)^(1/2))^(1/2),x)","\int \frac{\sqrt{a^2\,x^2+b^2}}{\sqrt{a\,x+\sqrt{a^2\,x^2+b^2}}} \,d x","Not used",1,"int((b^2 + a^2*x^2)^(1/2)/(a*x + (b^2 + a^2*x^2)^(1/2))^(1/2), x)","F"
1680,0,-1,113,0.000000,"\text{Not used}","int((b - 2*a + x)/((-(a - x)*(b - x)^2)^(1/4)*(a*d - x*(2*b + d) + b^2 + x^2)),x)","\int \frac{b-2\,a+x}{{\left(-\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{1/4}\,\left(a\,d-x\,\left(2\,b+d\right)+b^2+x^2\right)} \,d x","Not used",1,"int((b - 2*a + x)/((-(a - x)*(b - x)^2)^(1/4)*(a*d - x*(2*b + d) + b^2 + x^2)), x)","F"
1681,0,-1,113,0.000000,"\text{Not used}","int(x*(x^2 + x^3)^(1/3),x)","\int x\,{\left(x^3+x^2\right)}^{1/3} \,d x","Not used",1,"int(x*(x^2 + x^3)^(1/3), x)","F"
1682,0,-1,113,0.000000,"\text{Not used}","int(-(2*x*(a - 2*b) - b*(2*a - 3*b) + x^2)/((-(a - x)*(b - x)^2)^(1/4)*(b^2*d - x*(2*b*d + 3*a^2) + x^2*(3*a + d) + a^3 - x^3)),x)","\int -\frac{2\,x\,\left(a-2\,b\right)-b\,\left(2\,a-3\,b\right)+x^2}{{\left(-\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{1/4}\,\left(b^2\,d-x\,\left(3\,a^2+2\,b\,d\right)+x^2\,\left(3\,a+d\right)+a^3-x^3\right)} \,d x","Not used",1,"int(-(2*x*(a - 2*b) - b*(2*a - 3*b) + x^2)/((-(a - x)*(b - x)^2)^(1/4)*(b^2*d - x*(2*b*d + 3*a^2) + x^2*(3*a + d) + a^3 - x^3)), x)","F"
1683,0,-1,113,0.000000,"\text{Not used}","int(((x - 1)^3*(2*x*(k - 1) + k*x^2 - 1))/(x*(k*x - 1)*(x*(k*x - 1)*(x - 1))^(1/4)*(x*(d + 3) - x^2*(d*k + 3) + x^3 - 1)),x)","\int \frac{{\left(x-1\right)}^3\,\left(2\,x\,\left(k-1\right)+k\,x^2-1\right)}{x\,\left(k\,x-1\right)\,{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{1/4}\,\left(x^3+\left(-d\,k-3\right)\,x^2+\left(d+3\right)\,x-1\right)} \,d x","Not used",1,"int(((x - 1)^3*(2*x*(k - 1) + k*x^2 - 1))/(x*(k*x - 1)*(x*(k*x - 1)*(x - 1))^(1/4)*(x*(d + 3) - x^2*(d*k + 3) + x^3 - 1)), x)","F"
1684,-1,-1,113,0.000000,"\text{Not used}","int(-(b + a*x^2)/((b*x + a*x^3)^(1/2)*(b - a*x^2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
1685,0,-1,113,0.000000,"\text{Not used}","int(-((a^2 - 2*a*x + x^2)*(2*x*(a - 2*b) - b*(2*a - 3*b) + x^2))/((-(a - x)*(b - x)^2)^(3/4)*(a^3*d - x*(2*b + 3*a^2*d) - d*x^3 + x^2*(3*a*d + 1) + b^2)),x)","\int -\frac{\left(a^2-2\,a\,x+x^2\right)\,\left(2\,x\,\left(a-2\,b\right)-b\,\left(2\,a-3\,b\right)+x^2\right)}{{\left(-\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{3/4}\,\left(a^3\,d-x\,\left(3\,d\,a^2+2\,b\right)-d\,x^3+x^2\,\left(3\,a\,d+1\right)+b^2\right)} \,d x","Not used",1,"int(-((a^2 - 2*a*x + x^2)*(2*x*(a - 2*b) - b*(2*a - 3*b) + x^2))/((-(a - x)*(b - x)^2)^(3/4)*(a^3*d - x*(2*b + 3*a^2*d) - d*x^3 + x^2*(3*a*d + 1) + b^2)), x)","F"
1686,0,-1,113,0.000000,"\text{Not used}","int(((x^3 + x^4)^(1/4)*(x^3 - 1))/(x^3 + 1),x)","\int \frac{{\left(x^4+x^3\right)}^{1/4}\,\left(x^3-1\right)}{x^3+1} \,d x","Not used",1,"int(((x^3 + x^4)^(1/4)*(x^3 - 1))/(x^3 + 1), x)","F"
1687,0,-1,113,0.000000,"\text{Not used}","int(-(b - a*x^2)/(x^2*(b + a*x^2)*(a*x^4 - b*x^2)^(1/4)),x)","\int -\frac{b-a\,x^2}{x^2\,\left(a\,x^2+b\right)\,{\left(a\,x^4-b\,x^2\right)}^{1/4}} \,d x","Not used",1,"int(-(b - a*x^2)/(x^2*(b + a*x^2)*(a*x^4 - b*x^2)^(1/4)), x)","F"
1688,0,-1,113,0.000000,"\text{Not used}","int(-((b - x)*(b - 6*a + 5*x))/((-(a - x)*(b - x)^2)^(1/4)*(a*d - 6*b*x^5 - x*(d + 6*b^5) + b^6 + x^6 + 15*b^2*x^4 - 20*b^3*x^3 + 15*b^4*x^2)),x)","\int -\frac{\left(b-x\right)\,\left(b-6\,a+5\,x\right)}{{\left(-\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{1/4}\,\left(a\,d-6\,b\,x^5-x\,\left(6\,b^5+d\right)+b^6+x^6+15\,b^2\,x^4-20\,b^3\,x^3+15\,b^4\,x^2\right)} \,d x","Not used",1,"int(-((b - x)*(b - 6*a + 5*x))/((-(a - x)*(b - x)^2)^(1/4)*(a*d - 6*b*x^5 - x*(d + 6*b^5) + b^6 + x^6 + 15*b^2*x^4 - 20*b^3*x^3 + 15*b^4*x^2)), x)","F"
1689,0,-1,113,0.000000,"\text{Not used}","int(-((b - 6*a + 5*x)*(5*b*x^4 - 5*b^4*x + b^5 - x^5 - 10*b^2*x^3 + 10*b^3*x^2))/((-(a - x)*(b - x)^2)^(3/4)*(a + b^6*d + d*x^6 - x*(6*b^5*d + 1) + 15*b^2*d*x^4 - 20*b^3*d*x^3 + 15*b^4*d*x^2 - 6*b*d*x^5)),x)","\int -\frac{\left(b-6\,a+5\,x\right)\,\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(-\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{3/4}\,\left(a+b^6\,d+d\,x^6-x\,\left(6\,d\,b^5+1\right)+15\,b^2\,d\,x^4-20\,b^3\,d\,x^3+15\,b^4\,d\,x^2-6\,b\,d\,x^5\right)} \,d x","Not used",1,"int(-((b - 6*a + 5*x)*(5*b*x^4 - 5*b^4*x + b^5 - x^5 - 10*b^2*x^3 + 10*b^3*x^2))/((-(a - x)*(b - x)^2)^(3/4)*(a + b^6*d + d*x^6 - x*(6*b^5*d + 1) + 15*b^2*d*x^4 - 20*b^3*d*x^3 + 15*b^4*d*x^2 - 6*b*d*x^5)), x)","F"
1690,0,-1,113,0.000000,"\text{Not used}","int((x^4*(x^2 + x^4)^(1/4))/(x^8 - 1),x)","\int \frac{x^4\,{\left(x^4+x^2\right)}^{1/4}}{x^8-1} \,d x","Not used",1,"int((x^4*(x^2 + x^4)^(1/4))/(x^8 - 1), x)","F"
1691,0,-1,113,0.000000,"\text{Not used}","int((x^4*(x^2 + x^4)^(1/4))/(x^8 - 1),x)","\int \frac{x^4\,{\left(x^4+x^2\right)}^{1/4}}{x^8-1} \,d x","Not used",1,"int((x^4*(x^2 + x^4)^(1/4))/(x^8 - 1), x)","F"
1692,0,-1,113,0.000000,"\text{Not used}","int(x^4/((x^2 + x^4)^(1/4)*(x^4 + x^8 + 1)),x)","\int \frac{x^4}{{\left(x^4+x^2\right)}^{1/4}\,\left(x^8+x^4+1\right)} \,d x","Not used",1,"int(x^4/((x^2 + x^4)^(1/4)*(x^4 + x^8 + 1)), x)","F"
1693,0,-1,113,0.000000,"\text{Not used}","int(x^4/((x^2 + x^4)^(1/4)*(x^4 + x^8 + 1)),x)","\int \frac{x^4}{{\left(x^4+x^2\right)}^{1/4}\,\left(x^8+x^4+1\right)} \,d x","Not used",1,"int(x^4/((x^2 + x^4)^(1/4)*(x^4 + x^8 + 1)), x)","F"
1694,0,-1,113,0.000000,"\text{Not used}","int(-(x^6*(x^3 + 4))/((x^3 + 1)^(3/4)*(2*x^3 + x^6 - x^8 + 1)),x)","\int -\frac{x^6\,\left(x^3+4\right)}{{\left(x^3+1\right)}^{3/4}\,\left(-x^8+x^6+2\,x^3+1\right)} \,d x","Not used",1,"int(-(x^6*(x^3 + 4))/((x^3 + 1)^(3/4)*(2*x^3 + x^6 - x^8 + 1)), x)","F"
1695,0,-1,114,0.000000,"\text{Not used}","int(x^10*(x^3 - 1)^(1/3),x)","\int x^{10}\,{\left(x^3-1\right)}^{1/3} \,d x","Not used",1,"int(x^10*(x^3 - 1)^(1/3), x)","F"
1696,0,-1,114,0.000000,"\text{Not used}","int(x/((x^3 - x^2)^(1/3)*(x - 1)),x)","\int \frac{x}{{\left(x^3-x^2\right)}^{1/3}\,\left(x-1\right)} \,d x","Not used",1,"int(x/((x^3 - x^2)^(1/3)*(x - 1)), x)","F"
1697,0,-1,114,0.000000,"\text{Not used}","int((x + 1)/((x^3 - x^2)^(1/3)*(x - 1)),x)","\int \frac{x+1}{{\left(x^3-x^2\right)}^{1/3}\,\left(x-1\right)} \,d x","Not used",1,"int((x + 1)/((x^3 - x^2)^(1/3)*(x - 1)), x)","F"
1698,0,-1,114,0.000000,"\text{Not used}","int(-(2*b - a*x)/((a*x^3 - b*x^2)^(1/4)*(a*x - b + x^2)),x)","\int -\frac{2\,b-a\,x}{{\left(a\,x^3-b\,x^2\right)}^{1/4}\,\left(x^2+a\,x-b\right)} \,d x","Not used",1,"int(-(2*b - a*x)/((a*x^3 - b*x^2)^(1/4)*(a*x - b + x^2)), x)","F"
1699,0,-1,114,0.000000,"\text{Not used}","int(((2*x^3 - x)^(1/3)*(x^2 + 1))/(x^2*(x^4 + 1)),x)","\int \frac{{\left(2\,x^3-x\right)}^{1/3}\,\left(x^2+1\right)}{x^2\,\left(x^4+1\right)} \,d x","Not used",1,"int(((2*x^3 - x)^(1/3)*(x^2 + 1))/(x^2*(x^4 + 1)), x)","F"
1700,0,-1,114,0.000000,"\text{Not used}","int((x - 1)/((x^4 + 1)^(1/4)*(x + x^2 + 1)),x)","\int \frac{x-1}{{\left(x^4+1\right)}^{1/4}\,\left(x^2+x+1\right)} \,d x","Not used",1,"int((x - 1)/((x^4 + 1)^(1/4)*(x + x^2 + 1)), x)","F"
1701,0,-1,114,0.000000,"\text{Not used}","int((x^2*(x^3 + x^4)^(1/4))/(x - 1),x)","\int \frac{x^2\,{\left(x^4+x^3\right)}^{1/4}}{x-1} \,d x","Not used",1,"int((x^2*(x^3 + x^4)^(1/4))/(x - 1), x)","F"
1702,1,72,114,1.879265,"\text{Not used}","int(((b - a*x^3)*(b - 2*a*x^3))/(x^6*(a*x^4 - b*x)^(1/4)),x)","-\frac{4\,\left(3\,b^2+17\,a^2\,x^6-20\,a\,b\,x^3-42\,a^2\,x^6\,{\left(1-\frac{a\,x^3}{b}\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{1}{4};\ \frac{5}{4};\ \frac{a\,x^3}{b}\right)\right)}{63\,x^5\,{\left(a\,x^4-b\,x\right)}^{1/4}}","Not used",1,"-(4*(3*b^2 + 17*a^2*x^6 - 20*a*b*x^3 - 42*a^2*x^6*(1 - (a*x^3)/b)^(1/4)*hypergeom([1/4, 1/4], 5/4, (a*x^3)/b)))/(63*x^5*(a*x^4 - b*x)^(1/4))","B"
1703,0,-1,114,0.000000,"\text{Not used}","int(-(a*x^4 - b + x^8)/(x^8*(b + a*x^4)^(1/4)*(b - a*x^4)),x)","-\int \frac{x^8+a\,x^4-b}{x^8\,{\left(a\,x^4+b\right)}^{1/4}\,\left(b-a\,x^4\right)} \,d x","Not used",1,"-int((a*x^4 - b + x^8)/(x^8*(b + a*x^4)^(1/4)*(b - a*x^4)), x)","F"
1704,0,-1,114,0.000000,"\text{Not used}","int((x^4 + 1)/(x^4*(x + (x^2 + 1)^(1/2))^(1/2)),x)","\int \frac{x^4+1}{x^4\,\sqrt{x+\sqrt{x^2+1}}} \,d x","Not used",1,"int((x^4 + 1)/(x^4*(x + (x^2 + 1)^(1/2))^(1/2)), x)","F"
1705,0,-1,114,0.000000,"\text{Not used}","int((b + (a*x^2 + b^2)^(1/2))^(1/2)/(x^2*(a*x^2 + b^2)^(1/2)),x)","\int \frac{\sqrt{b+\sqrt{b^2+a\,x^2}}}{x^2\,\sqrt{b^2+a\,x^2}} \,d x","Not used",1,"int((b + (a*x^2 + b^2)^(1/2))^(1/2)/(x^2*(a*x^2 + b^2)^(1/2)), x)","F"
1706,0,-1,115,0.000000,"\text{Not used}","int((x^2 + 2)/(x*(x^2 - x + 1)^(1/3)*(x^2 - 2*x + 2)),x)","\int \frac{x^2+2}{x\,{\left(x^2-x+1\right)}^{1/3}\,\left(x^2-2\,x+2\right)} \,d x","Not used",1,"int((x^2 + 2)/(x*(x^2 - x + 1)^(1/3)*(x^2 - 2*x + 2)), x)","F"
1707,1,158,115,1.290390,"\text{Not used}","int((x - 1)/(x^10*(x^3 + 1)^(1/3)),x)","\frac{14\,\ln\left(\frac{196\,{\left(x^3+1\right)}^{1/3}}{6561}-\frac{196}{6561}\right)}{243}+\ln\left(\frac{196\,{\left(x^3+1\right)}^{1/3}}{6561}-9\,{\left(-\frac{7}{243}+\frac{\sqrt{3}\,7{}\mathrm{i}}{243}\right)}^2\right)\,\left(-\frac{7}{243}+\frac{\sqrt{3}\,7{}\mathrm{i}}{243}\right)-\ln\left(\frac{196\,{\left(x^3+1\right)}^{1/3}}{6561}-9\,{\left(\frac{7}{243}+\frac{\sqrt{3}\,7{}\mathrm{i}}{243}\right)}^2\right)\,\left(\frac{7}{243}+\frac{\sqrt{3}\,7{}\mathrm{i}}{243}\right)+\frac{\frac{67\,{\left(x^3+1\right)}^{2/3}}{162}-\frac{77\,{\left(x^3+1\right)}^{5/3}}{162}+\frac{14\,{\left(x^3+1\right)}^{8/3}}{81}}{{\left(x^3+1\right)}^3-3\,{\left(x^3+1\right)}^2+3\,x^3+2}-\frac{{\left(x^3+1\right)}^{2/3}\,\left(9\,x^6-6\,x^3+5\right)}{40\,x^8}","Not used",1,"(14*log((196*(x^3 + 1)^(1/3))/6561 - 196/6561))/243 + log((196*(x^3 + 1)^(1/3))/6561 - 9*((3^(1/2)*7i)/243 - 7/243)^2)*((3^(1/2)*7i)/243 - 7/243) - log((196*(x^3 + 1)^(1/3))/6561 - 9*((3^(1/2)*7i)/243 + 7/243)^2)*((3^(1/2)*7i)/243 + 7/243) + ((67*(x^3 + 1)^(2/3))/162 - (77*(x^3 + 1)^(5/3))/162 + (14*(x^3 + 1)^(8/3))/81)/((x^3 + 1)^3 - 3*(x^3 + 1)^2 + 3*x^3 + 2) - ((x^3 + 1)^(2/3)*(9*x^6 - 6*x^3 + 5))/(40*x^8)","B"
1708,1,100,115,1.050776,"\text{Not used}","int(1/(x*(b + a*x^3)^(1/3)),x)","\frac{\ln\left({\left(a\,x^3+b\right)}^{1/3}-b^{1/3}\right)}{3\,b^{1/3}}+\frac{\ln\left({\left(a\,x^3+b\right)}^{1/3}-\frac{b^{1/3}\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{4}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,b^{1/3}}-\frac{\ln\left({\left(a\,x^3+b\right)}^{1/3}-\frac{b^{1/3}\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{4}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,b^{1/3}}","Not used",1,"log((b + a*x^3)^(1/3) - b^(1/3))/(3*b^(1/3)) + (log((b + a*x^3)^(1/3) - (b^(1/3)*(3^(1/2)*1i - 1)^2)/4)*(3^(1/2)*1i - 1))/(6*b^(1/3)) - (log((b + a*x^3)^(1/3) - (b^(1/3)*(3^(1/2)*1i + 1)^2)/4)*(3^(1/2)*1i + 1))/(6*b^(1/3))","B"
1709,0,-1,115,0.000000,"\text{Not used}","int(((2*x*(k - 1) - k*x^2 + 1)*(3*k^2*x^2 - k^3*x^3 - 3*k*x + 1))/(x*(x - 1)*(x*(k*x - 1)*(x - 1))^(1/4)*(k^3*x^3 - x^2*(d + 3*k^2) + x*(d + 3*k) - 1)),x)","\int \frac{\left(2\,x\,\left(k-1\right)-k\,x^2+1\right)\,\left(-k^3\,x^3+3\,k^2\,x^2-3\,k\,x+1\right)}{x\,\left(x-1\right)\,{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{1/4}\,\left(k^3\,x^3-x^2\,\left(3\,k^2+d\right)+x\,\left(d+3\,k\right)-1\right)} \,d x","Not used",1,"int(((2*x*(k - 1) - k*x^2 + 1)*(3*k^2*x^2 - k^3*x^3 - 3*k*x + 1))/(x*(x - 1)*(x*(k*x - 1)*(x - 1))^(1/4)*(k^3*x^3 - x^2*(d + 3*k^2) + x*(d + 3*k) - 1)), x)","F"
1710,0,-1,115,0.000000,"\text{Not used}","int(((x^4 + 3)*(x^4 - x^3 - 1)^(2/3))/(x^3*(x^4 - 1)),x)","\int \frac{\left(x^4+3\right)\,{\left(x^4-x^3-1\right)}^{2/3}}{x^3\,\left(x^4-1\right)} \,d x","Not used",1,"int(((x^4 + 3)*(x^4 - x^3 - 1)^(2/3))/(x^3*(x^4 - 1)), x)","F"
1711,0,-1,115,0.000000,"\text{Not used}","int(((x + 2*x^3)^(1/3)*(2*x^2 + 1))/(x^4*(2*x^4 + 1)),x)","\int \frac{{\left(2\,x^3+x\right)}^{1/3}\,\left(2\,x^2+1\right)}{x^4\,\left(2\,x^4+1\right)} \,d x","Not used",1,"int(((x + 2*x^3)^(1/3)*(2*x^2 + 1))/(x^4*(2*x^4 + 1)), x)","F"
1712,0,-1,115,0.000000,"\text{Not used}","int(1/(x - (c + (b + a*x)^(1/2))^(1/2)*(b + a*x)^(1/2)),x)","\int \frac{1}{x-\sqrt{c+\sqrt{b+a\,x}}\,\sqrt{b+a\,x}} \,d x","Not used",1,"int(1/(x - (c + (b + a*x)^(1/2))^(1/2)*(b + a*x)^(1/2)), x)","F"
1713,0,-1,115,0.000000,"\text{Not used}","int(1/(x - (c + (b + a*x)^(1/2))^(1/2)*(b + a*x)^(1/2)),x)","\int \frac{1}{x-\sqrt{c+\sqrt{b+a\,x}}\,\sqrt{b+a\,x}} \,d x","Not used",1,"int(1/(x - (c + (b + a*x)^(1/2))^(1/2)*(b + a*x)^(1/2)), x)","F"
1714,0,-1,116,0.000000,"\text{Not used}","int((x^2 - x + 2)/((x^2 - 1)^(1/3)*(4*x + x^2 + 3)),x)","\int \frac{x^2-x+2}{{\left(x^2-1\right)}^{1/3}\,\left(x^2+4\,x+3\right)} \,d x","Not used",1,"int((x^2 - x + 2)/((x^2 - 1)^(1/3)*(4*x + x^2 + 3)), x)","F"
1715,0,-1,116,0.000000,"\text{Not used}","int(-(x*(k*x - 1)*(2*x*(k - 1) + k*x^2 - 1))/((x - 1)*(x*(k*x - 1)*(x - 1))^(3/4)*(d - d*x^3 + x^2*(3*d + k) - x*(3*d + 1))),x)","-\int \frac{x\,\left(k\,x-1\right)\,\left(2\,x\,\left(k-1\right)+k\,x^2-1\right)}{\left(x-1\right)\,{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{3/4}\,\left(-d\,x^3+\left(3\,d+k\right)\,x^2+\left(-3\,d-1\right)\,x+d\right)} \,d x","Not used",1,"-int((x*(k*x - 1)*(2*x*(k - 1) + k*x^2 - 1))/((x - 1)*(x*(k*x - 1)*(x - 1))^(3/4)*(d - d*x^3 + x^2*(3*d + k) - x*(3*d + 1))), x)","F"
1716,0,-1,116,0.000000,"\text{Not used}","int((x*(x - 1)*(2*x*(k - 1) - k*x^2 + 1))/((k*x - 1)*(x*(k*x - 1)*(x - 1))^(3/4)*(d + x^2*(3*d*k^2 + 1) - x*(3*d*k + 1) - d*k^3*x^3)),x)","\int \frac{x\,\left(x-1\right)\,\left(2\,x\,\left(k-1\right)-k\,x^2+1\right)}{\left(k\,x-1\right)\,{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{3/4}\,\left(d+x^2\,\left(3\,d\,k^2+1\right)-x\,\left(3\,d\,k+1\right)-d\,k^3\,x^3\right)} \,d x","Not used",1,"int((x*(x - 1)*(2*x*(k - 1) - k*x^2 + 1))/((k*x - 1)*(x*(k*x - 1)*(x - 1))^(3/4)*(d + x^2*(3*d*k^2 + 1) - x*(3*d*k + 1) - d*k^3*x^3)), x)","F"
1717,0,-1,116,0.000000,"\text{Not used}","int(-((x^2 + 4)*(x^3 - 2*x)^(1/3))/(x^4*(4*x^2 - x^4 + 4)),x)","\int -\frac{\left(x^2+4\right)\,{\left(x^3-2\,x\right)}^{1/3}}{x^4\,\left(-x^4+4\,x^2+4\right)} \,d x","Not used",1,"int(-((x^2 + 4)*(x^3 - 2*x)^(1/3))/(x^4*(4*x^2 - x^4 + 4)), x)","F"
1718,0,-1,116,0.000000,"\text{Not used}","int(-((x^2 + 4)*(x^3 - 2*x)^(1/3))/(x^4*(4*x^2 - x^4 + 4)),x)","\int -\frac{\left(x^2+4\right)\,{\left(x^3-2\,x\right)}^{1/3}}{x^4\,\left(-x^4+4\,x^2+4\right)} \,d x","Not used",1,"int(-((x^2 + 4)*(x^3 - 2*x)^(1/3))/(x^4*(4*x^2 - x^4 + 4)), x)","F"
1719,0,-1,116,0.000000,"\text{Not used}","int((2*b + a*x^3)/((a*x^5 - b*x^2)^(1/4)*(a*x^3 - b + x^2)),x)","\int \frac{a\,x^3+2\,b}{{\left(a\,x^5-b\,x^2\right)}^{1/4}\,\left(a\,x^3+x^2-b\right)} \,d x","Not used",1,"int((2*b + a*x^3)/((a*x^5 - b*x^2)^(1/4)*(a*x^3 - b + x^2)), x)","F"
1720,0,-1,116,0.000000,"\text{Not used}","int((b + a*x^2)/((a*x^5 - b*x^3)^(1/4)*(x - b + a*x^2)),x)","\int \frac{a\,x^2+b}{{\left(a\,x^5-b\,x^3\right)}^{1/4}\,\left(a\,x^2+x-b\right)} \,d x","Not used",1,"int((b + a*x^2)/((a*x^5 - b*x^3)^(1/4)*(x - b + a*x^2)), x)","F"
1721,0,-1,116,0.000000,"\text{Not used}","int((b + a*x^4)/((a*x^6 - b*x^2)^(1/4)*(a*x^4 - b + x^2)),x)","\int \frac{a\,x^4+b}{{\left(a\,x^6-b\,x^2\right)}^{1/4}\,\left(a\,x^4+x^2-b\right)} \,d x","Not used",1,"int((b + a*x^4)/((a*x^6 - b*x^2)^(1/4)*(a*x^4 - b + x^2)), x)","F"
1722,0,-1,116,0.000000,"\text{Not used}","int((b + 2*a*x^3)/((a*x^6 - b*x^3)^(1/4)*(x - b + a*x^3)),x)","\int \frac{2\,a\,x^3+b}{{\left(a\,x^6-b\,x^3\right)}^{1/4}\,\left(a\,x^3+x-b\right)} \,d x","Not used",1,"int((b + 2*a*x^3)/((a*x^6 - b*x^3)^(1/4)*(x - b + a*x^3)), x)","F"
1723,0,-1,116,0.000000,"\text{Not used}","int(-1/((a*x^4 - b)^(1/4)*(b - a*x^8 + x^4)),x)","-\int \frac{1}{{\left(a\,x^4-b\right)}^{1/4}\,\left(-a\,x^8+x^4+b\right)} \,d x","Not used",1,"-int(1/((a*x^4 - b)^(1/4)*(b - a*x^8 + x^4)), x)","F"
1724,0,-1,116,0.000000,"\text{Not used}","int(-1/((a*x^4 - b)^(1/4)*(b - a*x^8 + x^4)),x)","-\int \frac{1}{{\left(a\,x^4-b\right)}^{1/4}\,\left(-a\,x^8+x^4+b\right)} \,d x","Not used",1,"-int(1/((a*x^4 - b)^(1/4)*(b - a*x^8 + x^4)), x)","F"
1725,0,-1,116,0.000000,"\text{Not used}","int((b + a*x^4)/((a*x^4 - b)^(1/4)*(b + a*x^8 + c*x^4)),x)","\int \frac{a\,x^4+b}{{\left(a\,x^4-b\right)}^{1/4}\,\left(a\,x^8+c\,x^4+b\right)} \,d x","Not used",1,"int((b + a*x^4)/((a*x^4 - b)^(1/4)*(b + a*x^8 + c*x^4)), x)","F"
1726,0,-1,116,0.000000,"\text{Not used}","int((b + a*x^4)/((a*x^4 - b)^(1/4)*(b + a*x^8 + c*x^4)),x)","\int \frac{a\,x^4+b}{{\left(a\,x^4-b\right)}^{1/4}\,\left(a\,x^8+c\,x^4+b\right)} \,d x","Not used",1,"int((b + a*x^4)/((a*x^4 - b)^(1/4)*(b + a*x^8 + c*x^4)), x)","F"
1727,0,-1,116,0.000000,"\text{Not used}","int(-((x^5 + 1)*(2*x^5 - 3)*(x^3 + x^5 + 1)^(1/3))/(x^2*(2*x^3 - 4*x^5 + x^6 + 2*x^8 - 2*x^10 - 2)),x)","\int -\frac{\left(x^5+1\right)\,\left(2\,x^5-3\right)\,{\left(x^5+x^3+1\right)}^{1/3}}{x^2\,\left(-2\,x^{10}+2\,x^8+x^6-4\,x^5+2\,x^3-2\right)} \,d x","Not used",1,"int(-((x^5 + 1)*(2*x^5 - 3)*(x^3 + x^5 + 1)^(1/3))/(x^2*(2*x^3 - 4*x^5 + x^6 + 2*x^8 - 2*x^10 - 2)), x)","F"
1728,0,-1,116,0.000000,"\text{Not used}","int(-((x^5 + 1)*(2*x^5 - 3)*(x^3 + x^5 + 1)^(1/3))/(x^2*(2*x^3 - 4*x^5 + x^6 + 2*x^8 - 2*x^10 - 2)),x)","\int -\frac{\left(x^5+1\right)\,\left(2\,x^5-3\right)\,{\left(x^5+x^3+1\right)}^{1/3}}{x^2\,\left(-2\,x^{10}+2\,x^8+x^6-4\,x^5+2\,x^3-2\right)} \,d x","Not used",1,"int(-((x^5 + 1)*(2*x^5 - 3)*(x^3 + x^5 + 1)^(1/3))/(x^2*(2*x^3 - 4*x^5 + x^6 + 2*x^8 - 2*x^10 - 2)), x)","F"
1729,0,-1,117,0.000000,"\text{Not used}","int(x^4*(x^3 - x)^(1/3),x)","\int x^4\,{\left(x^3-x\right)}^{1/3} \,d x","Not used",1,"int(x^4*(x^3 - x)^(1/3), x)","F"
1730,-1,-1,117,0.000000,"\text{Not used}","int(-x/((b*x + a*x^3)^(1/2)*(b - a*x^2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
1731,-1,-1,117,0.000000,"\text{Not used}","int(-(b*x + a*x^3)^(1/2)/(b^2 - a^2*x^4),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
1732,0,-1,117,0.000000,"\text{Not used}","int(x^19/(x^6 - 1)^(1/3),x)","\int \frac{x^{19}}{{\left(x^6-1\right)}^{1/3}} \,d x","Not used",1,"int(x^19/(x^6 - 1)^(1/3), x)","F"
1733,0,-1,117,0.000000,"\text{Not used}","int(x^15*(x^6 - 1)^(1/3),x)","\int x^{15}\,{\left(x^6-1\right)}^{1/3} \,d x","Not used",1,"int(x^15*(x^6 - 1)^(1/3), x)","F"
1734,0,-1,117,0.000000,"\text{Not used}","int(x^19/(x^6 + 1)^(1/3),x)","\int \frac{x^{19}}{{\left(x^6+1\right)}^{1/3}} \,d x","Not used",1,"int(x^19/(x^6 + 1)^(1/3), x)","F"
1735,0,-1,117,0.000000,"\text{Not used}","int(x^15*(x^6 + 1)^(1/3),x)","\int x^{15}\,{\left(x^6+1\right)}^{1/3} \,d x","Not used",1,"int(x^15*(x^6 + 1)^(1/3), x)","F"
1736,1,80,117,1.412672,"\text{Not used}","int(-(b + a*x^3 - x^6)/(x^6*(a*x^4 - b*x)^(1/4)),x)","\frac{4\,x\,{\left(1-\frac{a\,x^3}{b}\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{1}{4};\ \frac{5}{4};\ \frac{a\,x^3}{b}\right)}{3\,{\left(a\,x^4-b\,x\right)}^{1/4}}-\frac{4\,{\left(a\,x^4-b\,x\right)}^{3/4}}{21\,x^6}-\frac{44\,a\,{\left(a\,x^4-b\,x\right)}^{3/4}}{63\,b\,x^3}","Not used",1,"(4*x*(1 - (a*x^3)/b)^(1/4)*hypergeom([1/4, 1/4], 5/4, (a*x^3)/b))/(3*(a*x^4 - b*x)^(1/4)) - (4*(a*x^4 - b*x)^(3/4))/(21*x^6) - (44*a*(a*x^4 - b*x)^(3/4))/(63*b*x^3)","B"
1737,0,-1,117,0.000000,"\text{Not used}","int(-(x^4 - 3*x^6 + 3)/((x^6 - x^4 + 1)*(x^6 - x^4 - x^3 + 1)^(1/3)),x)","\int -\frac{-3\,x^6+x^4+3}{\left(x^6-x^4+1\right)\,{\left(x^6-x^4-x^3+1\right)}^{1/3}} \,d x","Not used",1,"int(-(x^4 - 3*x^6 + 3)/((x^6 - x^4 + 1)*(x^6 - x^4 - x^3 + 1)^(1/3)), x)","F"
1738,1,73,117,1.373425,"\text{Not used}","int(-(b - a*x^6)/(x^6*(a*x^4 - b*x)^(1/4)),x)","\frac{4\,a\,x\,{\left(1-\frac{a\,x^3}{b}\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{1}{4};\ \frac{5}{4};\ \frac{a\,x^3}{b}\right)}{3\,{\left(a\,x^4-b\,x\right)}^{1/4}}-\frac{4\,{\left(a\,x^4-b\,x\right)}^{3/4}\,\left(4\,a\,x^3+3\,b\right)}{63\,b\,x^6}","Not used",1,"(4*a*x*(1 - (a*x^3)/b)^(1/4)*hypergeom([1/4, 1/4], 5/4, (a*x^3)/b))/(3*(a*x^4 - b*x)^(1/4)) - (4*(a*x^4 - b*x)^(3/4)*(3*b + 4*a*x^3))/(63*b*x^6)","B"
1739,1,73,117,1.177749,"\text{Not used}","int((b + a*x^6)/(x^6*(a*x^4 - b*x)^(1/4)),x)","\frac{4\,{\left(a\,x^4-b\,x\right)}^{3/4}\,\left(4\,a\,x^3+3\,b\right)}{63\,b\,x^6}+\frac{4\,a\,x\,{\left(1-\frac{a\,x^3}{b}\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{1}{4};\ \frac{5}{4};\ \frac{a\,x^3}{b}\right)}{3\,{\left(a\,x^4-b\,x\right)}^{1/4}}","Not used",1,"(4*(a*x^4 - b*x)^(3/4)*(3*b + 4*a*x^3))/(63*b*x^6) + (4*a*x*(1 - (a*x^3)/b)^(1/4)*hypergeom([1/4, 1/4], 5/4, (a*x^3)/b))/(3*(a*x^4 - b*x)^(1/4))","B"
1740,0,-1,117,0.000000,"\text{Not used}","int(-((x^2 + x^4)^(1/4)*(x^4 - x^8 + 1))/(x^4 - 1),x)","\int -\frac{{\left(x^4+x^2\right)}^{1/4}\,\left(-x^8+x^4+1\right)}{x^4-1} \,d x","Not used",1,"int(-((x^2 + x^4)^(1/4)*(x^4 - x^8 + 1))/(x^4 - 1), x)","F"
1741,0,-1,117,0.000000,"\text{Not used}","int((b + a*x^4 - 2*x^8)/((b + a*x^4)^(1/4)*(b + a*x^4 - x^8)),x)","\int \frac{-2\,x^8+a\,x^4+b}{{\left(a\,x^4+b\right)}^{1/4}\,\left(-x^8+a\,x^4+b\right)} \,d x","Not used",1,"int((b + a*x^4 - 2*x^8)/((b + a*x^4)^(1/4)*(b + a*x^4 - x^8)), x)","F"
1742,0,-1,117,0.000000,"\text{Not used}","int((b + a*x^4 - 2*x^8)/((b + a*x^4)^(1/4)*(b + a*x^4 - x^8)),x)","\int \frac{-2\,x^8+a\,x^4+b}{{\left(a\,x^4+b\right)}^{1/4}\,\left(-x^8+a\,x^4+b\right)} \,d x","Not used",1,"int((b + a*x^4 - 2*x^8)/((b + a*x^4)^(1/4)*(b + a*x^4 - x^8)), x)","F"
1743,0,-1,117,0.000000,"\text{Not used}","int((c*x^2 - x*(a*x^2 - b*x)^(1/2))^(1/2)/(x^3*(a*x^2 - b*x)^(1/2)),x)","\int \frac{\sqrt{c\,x^2-x\,\sqrt{a\,x^2-b\,x}}}{x^3\,\sqrt{a\,x^2-b\,x}} \,d x","Not used",1,"int((c*x^2 - x*(a*x^2 - b*x)^(1/2))^(1/2)/(x^3*(a*x^2 - b*x)^(1/2)), x)","F"
1744,0,-1,118,0.000000,"\text{Not used}","int((b + x^3)/(a + x^3)^(1/3),x)","\int \frac{x^3+b}{{\left(x^3+a\right)}^{1/3}} \,d x","Not used",1,"int((b + x^3)/(a + x^3)^(1/3), x)","F"
1745,0,-1,118,0.000000,"\text{Not used}","int((b + a*x^2)/(x + x^3)^(1/3),x)","\int \frac{a\,x^2+b}{{\left(x^3+x\right)}^{1/3}} \,d x","Not used",1,"int((b + a*x^2)/(x + x^3)^(1/3), x)","F"
1746,1,27,118,1.034810,"\text{Not used}","int((x^3 - x^2)^(1/3),x)","\frac{3\,x\,{\left(x^3-x^2\right)}^{1/3}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{3},\frac{5}{3};\ \frac{8}{3};\ x\right)}{5\,{\left(1-x\right)}^{1/3}}","Not used",1,"(3*x*(x^3 - x^2)^(1/3)*hypergeom([-1/3, 5/3], 8/3, x))/(5*(1 - x)^(1/3))","B"
1747,0,-1,118,0.000000,"\text{Not used}","int(x^2*(x^2 + x^3)^(1/3),x)","\int x^2\,{\left(x^3+x^2\right)}^{1/3} \,d x","Not used",1,"int(x^2*(x^2 + x^3)^(1/3), x)","F"
1748,0,-1,118,0.000000,"\text{Not used}","int(x^4/((x^2 + x^4)^(1/4)*(x^4 + 1)^2),x)","\int \frac{x^4}{{\left(x^4+x^2\right)}^{1/4}\,{\left(x^4+1\right)}^2} \,d x","Not used",1,"int(x^4/((x^2 + x^4)^(1/4)*(x^4 + 1)^2), x)","F"
1749,0,-1,118,0.000000,"\text{Not used}","int(x^4/((x^2 + x^4)^(1/4)*(x^4 + 1)^2),x)","\int \frac{x^4}{{\left(x^4+x^2\right)}^{1/4}\,{\left(x^4+1\right)}^2} \,d x","Not used",1,"int(x^4/((x^2 + x^4)^(1/4)*(x^4 + 1)^2), x)","F"
1750,0,-1,118,0.000000,"\text{Not used}","int(((x^4 - 3)*(x^3 + x^4 + 1)^(2/3)*(x^4 - x^3 + 1))/(x^6*(x^4 + 1)),x)","\int \frac{\left(x^4-3\right)\,{\left(x^4+x^3+1\right)}^{2/3}\,\left(x^4-x^3+1\right)}{x^6\,\left(x^4+1\right)} \,d x","Not used",1,"int(((x^4 - 3)*(x^3 + x^4 + 1)^(2/3)*(x^4 - x^3 + 1))/(x^6*(x^4 + 1)), x)","F"
1751,0,-1,118,0.000000,"\text{Not used}","int(-(b - 2*a*x^4)/((b + a*x^4)*(a*x^4 + b*x^2)^(1/4)),x)","\int -\frac{b-2\,a\,x^4}{\left(a\,x^4+b\right)\,{\left(a\,x^4+b\,x^2\right)}^{1/4}} \,d x","Not used",1,"int(-(b - 2*a*x^4)/((b + a*x^4)*(a*x^4 + b*x^2)^(1/4)), x)","F"
1752,0,-1,118,0.000000,"\text{Not used}","int(-(b - 2*a*x^4)/((b + a*x^4)*(a*x^4 + b*x^2)^(1/4)),x)","\int -\frac{b-2\,a\,x^4}{\left(a\,x^4+b\right)\,{\left(a\,x^4+b\,x^2\right)}^{1/4}} \,d x","Not used",1,"int(-(b - 2*a*x^4)/((b + a*x^4)*(a*x^4 + b*x^2)^(1/4)), x)","F"
1753,0,-1,118,0.000000,"\text{Not used}","int((x^2 + 1)/((x^2 - 1)*(x + x^5)^(1/3)),x)","\int \frac{x^2+1}{\left(x^2-1\right)\,{\left(x^5+x\right)}^{1/3}} \,d x","Not used",1,"int((x^2 + 1)/((x^2 - 1)*(x + x^5)^(1/3)), x)","F"
1754,0,-1,118,0.000000,"\text{Not used}","int(((x^2 + x^6)^(1/4)*(x^2 - 1))/(x^2*(x^2 + 1)),x)","\int \frac{{\left(x^6+x^2\right)}^{1/4}\,\left(x^2-1\right)}{x^2\,\left(x^2+1\right)} \,d x","Not used",1,"int(((x^2 + x^6)^(1/4)*(x^2 - 1))/(x^2*(x^2 + 1)), x)","F"
1755,0,-1,118,0.000000,"\text{Not used}","int(((x^2 + x^6)^(1/4)*(x^2 - 1))/(x^2*(x^2 + 1)),x)","\int \frac{{\left(x^6+x^2\right)}^{1/4}\,\left(x^2-1\right)}{x^2\,\left(x^2+1\right)} \,d x","Not used",1,"int(((x^2 + x^6)^(1/4)*(x^2 - 1))/(x^2*(x^2 + 1)), x)","F"
1756,0,-1,118,0.000000,"\text{Not used}","int(((x^3 - 1)^(2/3)*(4*x^6 - 5*x^3 + 1))/(x^6*(2*x^3 - 1)^2),x)","\int \frac{{\left(x^3-1\right)}^{2/3}\,\left(4\,x^6-5\,x^3+1\right)}{x^6\,{\left(2\,x^3-1\right)}^2} \,d x","Not used",1,"int(((x^3 - 1)^(2/3)*(4*x^6 - 5*x^3 + 1))/(x^6*(2*x^3 - 1)^2), x)","F"
1757,0,-1,118,0.000000,"\text{Not used}","int((((x + 1)^(1/2) + 1)^(1/2)*(x + 1)^(1/2))/(x - (x + 1)^(1/2)),x)","\int \frac{\sqrt{\sqrt{x+1}+1}\,\sqrt{x+1}}{x-\sqrt{x+1}} \,d x","Not used",1,"int((((x + 1)^(1/2) + 1)^(1/2)*(x + 1)^(1/2))/(x - (x + 1)^(1/2)), x)","F"
1758,0,-1,118,0.000000,"\text{Not used}","int((b + a*x)^(1/2)/((b + a*x)^(1/2) + a*b*x)^(1/2),x)","\int \frac{\sqrt{b+a\,x}}{\sqrt{\sqrt{b+a\,x}+a\,b\,x}} \,d x","Not used",1,"int((b + a*x)^(1/2)/((b + a*x)^(1/2) + a*b*x)^(1/2), x)","F"
1759,0,-1,118,0.000000,"\text{Not used}","int((b + a^2*x^4)^(1/2)/((b + a^2*x^4)^(1/2) + a*x^2)^(1/2),x)","\int \frac{\sqrt{a^2\,x^4+b}}{\sqrt{\sqrt{a^2\,x^4+b}+a\,x^2}} \,d x","Not used",1,"int((b + a^2*x^4)^(1/2)/((b + a^2*x^4)^(1/2) + a*x^2)^(1/2), x)","F"
1760,0,-1,118,0.000000,"\text{Not used}","int(1/((f + e*x)*(d + (c + (b + a*x)^(1/2))^(1/2))^(1/2)),x)","\int \frac{1}{\left(f+e\,x\right)\,\sqrt{d+\sqrt{c+\sqrt{b+a\,x}}}} \,d x","Not used",1,"int(1/((f + e*x)*(d + (c + (b + a*x)^(1/2))^(1/2))^(1/2)), x)","F"
1761,0,-1,119,0.000000,"\text{Not used}","int(-(a*b + x*(a - 2*b))/((-x*(a - x)*(b - x)^2)^(1/4)*(x*(2*b - a*d) - b^2 + x^2*(d - 1))),x)","-\int \frac{a\,b+x\,\left(a-2\,b\right)}{{\left(-x\,\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{1/4}\,\left(x\,\left(2\,b-a\,d\right)-b^2+x^2\,\left(d-1\right)\right)} \,d x","Not used",1,"-int((a*b + x*(a - 2*b))/((-x*(a - x)*(b - x)^2)^(1/4)*(x*(2*b - a*d) - b^2 + x^2*(d - 1))), x)","F"
1762,0,-1,119,0.000000,"\text{Not used}","int(x^13*(x^3 - 1)^(1/3),x)","\int x^{13}\,{\left(x^3-1\right)}^{1/3} \,d x","Not used",1,"int(x^13*(x^3 - 1)^(1/3), x)","F"
1763,0,-1,119,0.000000,"\text{Not used}","int((x^2*(3*a - 2*b) + a*b^2 - 2*b*x*(2*a - b))/((-x*(a - x)*(b - x)^2)^(1/4)*(x^2*(3*a - 2*b*d) + a^3 + x*(b^2*d - 3*a^2) + x^3*(d - 1))),x)","\int \frac{x^2\,\left(3\,a-2\,b\right)+a\,b^2-2\,b\,x\,\left(2\,a-b\right)}{{\left(-x\,\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{1/4}\,\left(x^2\,\left(3\,a-2\,b\,d\right)+a^3+x\,\left(b^2\,d-3\,a^2\right)+x^3\,\left(d-1\right)\right)} \,d x","Not used",1,"int((x^2*(3*a - 2*b) + a*b^2 - 2*b*x*(2*a - b))/((-x*(a - x)*(b - x)^2)^(1/4)*(x^2*(3*a - 2*b*d) + a^3 + x*(b^2*d - 3*a^2) + x^3*(d - 1))), x)","F"
1764,0,-1,119,0.000000,"\text{Not used}","int(((x + 2*x^3)^(1/3)*(x^4 - 1))/(x^4*(x^4 - x^2 + 2)),x)","\int \frac{{\left(2\,x^3+x\right)}^{1/3}\,\left(x^4-1\right)}{x^4\,\left(x^4-x^2+2\right)} \,d x","Not used",1,"int(((x + 2*x^3)^(1/3)*(x^4 - 1))/(x^4*(x^4 - x^2 + 2)), x)","F"
1765,0,-1,119,0.000000,"\text{Not used}","int(-(b + 2*a*x^4)/((b - a*x^4)*(a*x^4 + b*x^2)^(1/4)),x)","\int -\frac{2\,a\,x^4+b}{\left(b-a\,x^4\right)\,{\left(a\,x^4+b\,x^2\right)}^{1/4}} \,d x","Not used",1,"int(-(b + 2*a*x^4)/((b - a*x^4)*(a*x^4 + b*x^2)^(1/4)), x)","F"
1766,0,-1,119,0.000000,"\text{Not used}","int(-(b + 2*a*x^4)/((b - a*x^4)*(a*x^4 + b*x^2)^(1/4)),x)","\int -\frac{2\,a\,x^4+b}{\left(b-a\,x^4\right)\,{\left(a\,x^4+b\,x^2\right)}^{1/4}} \,d x","Not used",1,"int(-(b + 2*a*x^4)/((b - a*x^4)*(a*x^4 + b*x^2)^(1/4)), x)","F"
1767,0,-1,119,0.000000,"\text{Not used}","int(((x^6 + 1)*(x^6 - x^3 - 1)^(2/3))/(x^3*(x^6 - 1)),x)","\int \frac{\left(x^6+1\right)\,{\left(x^6-x^3-1\right)}^{2/3}}{x^3\,\left(x^6-1\right)} \,d x","Not used",1,"int(((x^6 + 1)*(x^6 - x^3 - 1)^(2/3))/(x^3*(x^6 - 1)), x)","F"
1768,0,-1,119,0.000000,"\text{Not used}","int(((x^6 + 4)*(x^6 - x^4 - 2)^(1/4))/(x^2*(x^6 - 2)),x)","\int \frac{\left(x^6+4\right)\,{\left(x^6-x^4-2\right)}^{1/4}}{x^2\,\left(x^6-2\right)} \,d x","Not used",1,"int(((x^6 + 4)*(x^6 - x^4 - 2)^(1/4))/(x^2*(x^6 - 2)), x)","F"
1769,1,38,119,0.926094,"\text{Not used}","int((a*x^8 + b*x^7)^(1/4),x)","\frac{4\,x\,{\left(a\,x^8+b\,x^7\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{4},\frac{11}{4};\ \frac{15}{4};\ -\frac{a\,x}{b}\right)}{11\,{\left(\frac{a\,x}{b}+1\right)}^{1/4}}","Not used",1,"(4*x*(a*x^8 + b*x^7)^(1/4)*hypergeom([-1/4, 11/4], 15/4, -(a*x)/b))/(11*((a*x)/b + 1)^(1/4))","B"
1770,0,-1,119,0.000000,"\text{Not used}","int((x^10 - 1)/((x^4 + 1)^(1/2)*(x^10 + 1)),x)","\int \frac{x^{10}-1}{\sqrt{x^4+1}\,\left(x^{10}+1\right)} \,d x","Not used",1,"int((x^10 - 1)/((x^4 + 1)^(1/2)*(x^10 + 1)), x)","F"
1771,0,-1,119,0.000000,"\text{Not used}","int((x^10 + 1)/((x^4 + 1)^(1/2)*(x^10 - 1)),x)","\int \frac{x^{10}+1}{\sqrt{x^4+1}\,\left(x^{10}-1\right)} \,d x","Not used",1,"int((x^10 + 1)/((x^4 + 1)^(1/2)*(x^10 - 1)), x)","F"
1772,0,-1,119,0.000000,"\text{Not used}","int((x^16 + 1)/((x^4 + 1)^(1/2)*(x^16 - 1)),x)","\int \frac{x^{16}+1}{\sqrt{x^4+1}\,\left(x^{16}-1\right)} \,d x","Not used",1,"int((x^16 + 1)/((x^4 + 1)^(1/2)*(x^16 - 1)), x)","F"
1773,0,-1,119,0.000000,"\text{Not used}","int(-((c + (b + a*x)^(1/2))^(1/2)*(b + a*x)^(1/2))/((b + a*x)^(1/2) - 1),x)","-\int \frac{\sqrt{c+\sqrt{b+a\,x}}\,\sqrt{b+a\,x}}{\sqrt{b+a\,x}-1} \,d x","Not used",1,"-int(((c + (b + a*x)^(1/2))^(1/2)*(b + a*x)^(1/2))/((b + a*x)^(1/2) - 1), x)","F"
1774,0,-1,119,0.000000,"\text{Not used}","int(x*(x^2 - 1)^(1/2)*(x*(x^2 - 1)^(1/2) + x^2)^(1/2),x)","\int x\,\sqrt{x^2-1}\,\sqrt{x\,\sqrt{x^2-1}+x^2} \,d x","Not used",1,"int(x*(x^2 - 1)^(1/2)*(x*(x^2 - 1)^(1/2) + x^2)^(1/2), x)","F"
1775,0,-1,119,0.000000,"\text{Not used}","int(-((p^2*x^4 + q^2)^(1/2)*(q - p*x^2)*(a*(q + p*x^2)^3 + b*x^3))/x^6,x)","-\int \frac{\sqrt{p^2\,x^4+q^2}\,\left(q-p\,x^2\right)\,\left(a\,{\left(p\,x^2+q\right)}^3+b\,x^3\right)}{x^6} \,d x","Not used",1,"-int(((p^2*x^4 + q^2)^(1/2)*(q - p*x^2)*(a*(q + p*x^2)^3 + b*x^3))/x^6, x)","F"
1776,0,-1,119,0.000000,"\text{Not used}","int(((x^2 - 1)*((x^4 + 1)^(1/2) + x^2)^(1/2))/(x^4 + 1)^(1/2),x)","\int \frac{\left(x^2-1\right)\,\sqrt{\sqrt{x^4+1}+x^2}}{\sqrt{x^4+1}} \,d x","Not used",1,"int(((x^2 - 1)*((x^4 + 1)^(1/2) + x^2)^(1/2))/(x^4 + 1)^(1/2), x)","F"
1777,0,-1,119,0.000000,"\text{Not used}","int((x*(x + 1)^(1/2))/(x + ((x + 1)^(1/2) + 1)^(1/2)),x)","\int \frac{x\,\sqrt{x+1}}{x+\sqrt{\sqrt{x+1}+1}} \,d x","Not used",1,"int((x*(x + 1)^(1/2))/(x + ((x + 1)^(1/2) + 1)^(1/2)), x)","F"
1778,0,-1,120,0.000000,"\text{Not used}","int(((x^3 - x)^(1/3)*(x^4 - 10*x^2 + 8))/(x^4*(x^4 - 2*x^2 + 4)),x)","\int \frac{{\left(x^3-x\right)}^{1/3}\,\left(x^4-10\,x^2+8\right)}{x^4\,\left(x^4-2\,x^2+4\right)} \,d x","Not used",1,"int(((x^3 - x)^(1/3)*(x^4 - 10*x^2 + 8))/(x^4*(x^4 - 2*x^2 + 4)), x)","F"
1779,0,-1,120,0.000000,"\text{Not used}","int(((x^3 - x)^(1/3)*(x^4 - 10*x^2 + 8))/(x^4*(x^4 - 2*x^2 + 4)),x)","\int \frac{{\left(x^3-x\right)}^{1/3}\,\left(x^4-10\,x^2+8\right)}{x^4\,\left(x^4-2\,x^2+4\right)} \,d x","Not used",1,"int(((x^3 - x)^(1/3)*(x^4 - 10*x^2 + 8))/(x^4*(x^4 - 2*x^2 + 4)), x)","F"
1780,0,-1,120,0.000000,"\text{Not used}","int((x^2 - 1)/((x^2 + 1)*(x^3 - x^2 - x + x^4 + 1)^(1/2)),x)","\int \frac{x^2-1}{\left(x^2+1\right)\,\sqrt{x^4+x^3-x^2-x+1}} \,d x","Not used",1,"int((x^2 - 1)/((x^2 + 1)*(x^3 - x^2 - x + x^4 + 1)^(1/2)), x)","F"
1781,0,-1,120,0.000000,"\text{Not used}","int((x^2 - 1)/((x^2 + 1)*(x^3 - x^2 - x + x^4 + 1)^(1/2)),x)","\int \frac{x^2-1}{\left(x^2+1\right)\,\sqrt{x^4+x^3-x^2-x+1}} \,d x","Not used",1,"int((x^2 - 1)/((x^2 + 1)*(x^3 - x^2 - x + x^4 + 1)^(1/2)), x)","F"
1782,0,-1,120,0.000000,"\text{Not used}","int((x^4 - 1)/((x^4 + 1)*(x^3 - x^2 - x + x^4 + 1)^(1/2)),x)","\int \frac{x^4-1}{\left(x^4+1\right)\,\sqrt{x^4+x^3-x^2-x+1}} \,d x","Not used",1,"int((x^4 - 1)/((x^4 + 1)*(x^3 - x^2 - x + x^4 + 1)^(1/2)), x)","F"
1783,0,-1,120,0.000000,"\text{Not used}","int((x^4 - 1)/((x^4 + 1)*(x^3 - x^2 - x + x^4 + 1)^(1/2)),x)","\int \frac{x^4-1}{\left(x^4+1\right)\,\sqrt{x^4+x^3-x^2-x+1}} \,d x","Not used",1,"int((x^4 - 1)/((x^4 + 1)*(x^3 - x^2 - x + x^4 + 1)^(1/2)), x)","F"
1784,0,-1,120,0.000000,"\text{Not used}","int(-(b + a*x^8)/(x^6*(b + a*x^4)^(3/4)*(b - a*x^4)),x)","-\int \frac{a\,x^8+b}{x^6\,{\left(a\,x^4+b\right)}^{3/4}\,\left(b-a\,x^4\right)} \,d x","Not used",1,"-int((b + a*x^8)/(x^6*(b + a*x^4)^(3/4)*(b - a*x^4)), x)","F"
1785,0,-1,120,0.000000,"\text{Not used}","int((b - 2*a*x^4)/((a*x^4 - b)^(1/4)*(2*b - 2*a*x^8 + c*x^4)),x)","\int \frac{b-2\,a\,x^4}{{\left(a\,x^4-b\right)}^{1/4}\,\left(-2\,a\,x^8+c\,x^4+2\,b\right)} \,d x","Not used",1,"int((b - 2*a*x^4)/((a*x^4 - b)^(1/4)*(2*b - 2*a*x^8 + c*x^4)), x)","F"
1786,0,-1,120,0.000000,"\text{Not used}","int((b - 2*a*x^4)/((a*x^4 - b)^(1/4)*(2*b - 2*a*x^8 + c*x^4)),x)","\int \frac{b-2\,a\,x^4}{{\left(a\,x^4-b\right)}^{1/4}\,\left(-2\,a\,x^8+c\,x^4+2\,b\right)} \,d x","Not used",1,"int((b - 2*a*x^4)/((a*x^4 - b)^(1/4)*(2*b - 2*a*x^8 + c*x^4)), x)","F"
1787,0,-1,121,0.000000,"\text{Not used}","int((a*b + a*c - 3*b*c + 2*x*(b - a + c) - x^2)/((-(a - x)*(b - x)*(c - x))^(1/4)*(x^2*(3*a + d) - x*(b*d + c*d + 3*a^2) + a^3 - x^3 + b*c*d)),x)","\int \frac{a\,b+a\,c-3\,b\,c+2\,x\,\left(b-a+c\right)-x^2}{{\left(-\left(a-x\right)\,\left(b-x\right)\,\left(c-x\right)\right)}^{1/4}\,\left(x^2\,\left(3\,a+d\right)-x\,\left(3\,a^2+b\,d+c\,d\right)+a^3-x^3+b\,c\,d\right)} \,d x","Not used",1,"int((a*b + a*c - 3*b*c + 2*x*(b - a + c) - x^2)/((-(a - x)*(b - x)*(c - x))^(1/4)*(x^2*(3*a + d) - x*(b*d + c*d + 3*a^2) + a^3 - x^3 + b*c*d)), x)","F"
1788,0,-1,121,0.000000,"\text{Not used}","int(-1/((b^2*x + a^2*x^3)^(1/4)*(b - a*x)),x)","-\int \frac{1}{{\left(a^2\,x^3+b^2\,x\right)}^{1/4}\,\left(b-a\,x\right)} \,d x","Not used",1,"-int(1/((b^2*x + a^2*x^3)^(1/4)*(b - a*x)), x)","F"
1789,0,-1,121,0.000000,"\text{Not used}","int(-((x^2 + 2)*(2*x - x^2 + 2)*(x^4 - 3*x^2 + 4)^(1/2))/(x^2*(x^2 - 2)*(x + 2*x^2 - 4)),x)","\int -\frac{\left(x^2+2\right)\,\left(-x^2+2\,x+2\right)\,\sqrt{x^4-3\,x^2+4}}{x^2\,\left(x^2-2\right)\,\left(2\,x^2+x-4\right)} \,d x","Not used",1,"int(-((x^2 + 2)*(2*x - x^2 + 2)*(x^4 - 3*x^2 + 4)^(1/2))/(x^2*(x^2 - 2)*(x + 2*x^2 - 4)), x)","F"
1790,0,-1,121,0.000000,"\text{Not used}","int((x + 1)/((x^2 + x^4)^(1/3)*(x - 1)),x)","\int \frac{x+1}{{\left(x^4+x^2\right)}^{1/3}\,\left(x-1\right)} \,d x","Not used",1,"int((x + 1)/((x^2 + x^4)^(1/3)*(x - 1)), x)","F"
1791,1,164,121,5.625437,"\text{Not used}","int(-(b^2 - a^4*x^4)/((b^2 + a^4*x^4)*(b*x + a^2*x^3)^(1/2)),x)","\frac{2^{3/4}\,\ln\left(\frac{2^{3/4}\,b+2^{3/4}\,a^2\,x^2-4\,\sqrt{a}\,b^{1/4}\,\sqrt{a^2\,x^3+b\,x}+2\,2^{1/4}\,a\,\sqrt{b}\,x}{b+a^2\,x^2-\sqrt{2}\,a\,\sqrt{b}\,x}\right)}{4\,\sqrt{a}\,b^{1/4}}+\frac{2^{3/4}\,\ln\left(\frac{2^{3/4}\,b+2^{3/4}\,a^2\,x^2-2\,2^{1/4}\,a\,\sqrt{b}\,x+\sqrt{a}\,b^{1/4}\,\sqrt{a^2\,x^3+b\,x}\,4{}\mathrm{i}}{b+a^2\,x^2+\sqrt{2}\,a\,\sqrt{b}\,x}\right)\,1{}\mathrm{i}}{4\,\sqrt{a}\,b^{1/4}}","Not used",1,"(2^(3/4)*log((2^(3/4)*b + 2^(3/4)*a^2*x^2 - 4*a^(1/2)*b^(1/4)*(b*x + a^2*x^3)^(1/2) + 2*2^(1/4)*a*b^(1/2)*x)/(b + a^2*x^2 - 2^(1/2)*a*b^(1/2)*x)))/(4*a^(1/2)*b^(1/4)) + (2^(3/4)*log((2^(3/4)*b + 2^(3/4)*a^2*x^2 + a^(1/2)*b^(1/4)*(b*x + a^2*x^3)^(1/2)*4i - 2*2^(1/4)*a*b^(1/2)*x)/(b + a^2*x^2 + 2^(1/2)*a*b^(1/2)*x))*1i)/(4*a^(1/2)*b^(1/4))","B"
1792,0,-1,121,0.000000,"\text{Not used}","int((x^2 - 1)/((x^2 + 1)*(x + x^5)^(1/3)),x)","\int \frac{x^2-1}{\left(x^2+1\right)\,{\left(x^5+x\right)}^{1/3}} \,d x","Not used",1,"int((x^2 - 1)/((x^2 + 1)*(x + x^5)^(1/3)), x)","F"
1793,0,-1,121,0.000000,"\text{Not used}","int(((x^4 + 1)*(x^4 - x^2)^(1/4))/(x^4 + x^8 + 1),x)","\int \frac{\left(x^4+1\right)\,{\left(x^4-x^2\right)}^{1/4}}{x^8+x^4+1} \,d x","Not used",1,"int(((x^4 + 1)*(x^4 - x^2)^(1/4))/(x^4 + x^8 + 1), x)","F"
1794,0,-1,121,0.000000,"\text{Not used}","int(((x^4 + 1)*(x^4 - x^2)^(1/4))/(x^4 + x^8 + 1),x)","\int \frac{\left(x^4+1\right)\,{\left(x^4-x^2\right)}^{1/4}}{x^8+x^4+1} \,d x","Not used",1,"int(((x^4 + 1)*(x^4 - x^2)^(1/4))/(x^4 + x^8 + 1), x)","F"
1795,0,-1,121,0.000000,"\text{Not used}","int(-(2*x^8 - 2*x^4 + 1)/((x^4 - 1)^(1/4)*(x^4 - 2*x^8 + 2)),x)","\int -\frac{2\,x^8-2\,x^4+1}{{\left(x^4-1\right)}^{1/4}\,\left(-2\,x^8+x^4+2\right)} \,d x","Not used",1,"int(-(2*x^8 - 2*x^4 + 1)/((x^4 - 1)^(1/4)*(x^4 - 2*x^8 + 2)), x)","F"
1796,0,-1,121,0.000000,"\text{Not used}","int(((x^2 - x)^(1/2)*(x^2 - x*(x^2 - x)^(1/2))^(1/2))/x^3,x)","\int \frac{\sqrt{x^2-x}\,\sqrt{x^2-x\,\sqrt{x^2-x}}}{x^3} \,d x","Not used",1,"int(((x^2 - x)^(1/2)*(x^2 - x*(x^2 - x)^(1/2))^(1/2))/x^3, x)","F"
1797,1,57,122,1.330683,"\text{Not used}","int((b + 2*a*x)/((c + b*x + a*x^2)^(1/4)*(5*c + 4*b*x + 4*a*x^2)),x)","\frac{\sqrt{2}\,\left(\mathrm{atan}\left(\frac{\sqrt{2}\,{\left(a\,x^2+b\,x+c\right)}^{1/4}}{{\left(-c\right)}^{1/4}}\right)-\mathrm{atanh}\left(\frac{\sqrt{2}\,{\left(a\,x^2+b\,x+c\right)}^{1/4}}{{\left(-c\right)}^{1/4}}\right)\right)}{2\,{\left(-c\right)}^{1/4}}","Not used",1,"(2^(1/2)*(atan((2^(1/2)*(c + b*x + a*x^2)^(1/4))/(-c)^(1/4)) - atanh((2^(1/2)*(c + b*x + a*x^2)^(1/4))/(-c)^(1/4))))/(2*(-c)^(1/4))","B"
1798,0,-1,122,0.000000,"\text{Not used}","int(x^6*(x^3 - x)^(1/3),x)","\int x^6\,{\left(x^3-x\right)}^{1/3} \,d x","Not used",1,"int(x^6*(x^3 - x)^(1/3), x)","F"
1799,0,-1,122,0.000000,"\text{Not used}","int(1/(x^2 - x + x^3 - 1)^(1/3),x)","\int \frac{1}{{\left(x^3+x^2-x-1\right)}^{1/3}} \,d x","Not used",1,"int(1/(x^2 - x + x^3 - 1)^(1/3), x)","F"
1800,0,-1,122,0.000000,"\text{Not used}","int((2*x^4 + 1)/((x^4 - 1)*(x^4 - x^2)^(1/4)),x)","\int \frac{2\,x^4+1}{\left(x^4-1\right)\,{\left(x^4-x^2\right)}^{1/4}} \,d x","Not used",1,"int((2*x^4 + 1)/((x^4 - 1)*(x^4 - x^2)^(1/4)), x)","F"
1801,0,-1,122,0.000000,"\text{Not used}","int(-((b - a*x^4)*(a*x^4 + b*x^2)^(1/4))/x^2,x)","-\int \frac{\left(b-a\,x^4\right)\,{\left(a\,x^4+b\,x^2\right)}^{1/4}}{x^2} \,d x","Not used",1,"-int(((b - a*x^4)*(a*x^4 + b*x^2)^(1/4))/x^2, x)","F"
1802,0,-1,122,0.000000,"\text{Not used}","int(((b + a*x^4)*(a*x^4 + b*x^2)^(1/4))/x^2,x)","\int \frac{\left(a\,x^4+b\right)\,{\left(a\,x^4+b\,x^2\right)}^{1/4}}{x^2} \,d x","Not used",1,"int(((b + a*x^4)*(a*x^4 + b*x^2)^(1/4))/x^2, x)","F"
1803,0,-1,122,0.000000,"\text{Not used}","int(-(b + 2*a*x^4)/((b - a*x^4)*(a*x^4 - b*x^2)^(1/4)),x)","\int -\frac{2\,a\,x^4+b}{\left(b-a\,x^4\right)\,{\left(a\,x^4-b\,x^2\right)}^{1/4}} \,d x","Not used",1,"int(-(b + 2*a*x^4)/((b - a*x^4)*(a*x^4 - b*x^2)^(1/4)), x)","F"
1804,0,-1,122,0.000000,"\text{Not used}","int(-(b + 2*a*x^4)/((b - a*x^4)*(a*x^4 - b*x^2)^(1/4)),x)","\int -\frac{2\,a\,x^4+b}{\left(b-a\,x^4\right)\,{\left(a\,x^4-b\,x^2\right)}^{1/4}} \,d x","Not used",1,"int(-(b + 2*a*x^4)/((b - a*x^4)*(a*x^4 - b*x^2)^(1/4)), x)","F"
1805,0,-1,122,0.000000,"\text{Not used}","int(-(b + 2*a*x^4 - 2*x^8)/(a*x^4 - b)^(1/4),x)","\int -\frac{-2\,x^8+2\,a\,x^4+b}{{\left(a\,x^4-b\right)}^{1/4}} \,d x","Not used",1,"int(-(b + 2*a*x^4 - 2*x^8)/(a*x^4 - b)^(1/4), x)","F"
1806,1,109,123,1.187517,"\text{Not used}","int(-(x - 1)/((x^2 - 2*x - 2)^(1/3)*(2*x - x^2 + 4)),x)","\frac{2^{2/3}\,\ln\left(\frac{9\,{\left(x^2-2\,x-2\right)}^{1/3}}{4}-\frac{9\,2^{1/3}}{4}\right)}{4}+\frac{2^{2/3}\,\ln\left(\frac{9\,{\left(x^2-2\,x-2\right)}^{1/3}}{4}-\frac{9\,2^{1/3}\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{16}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{8}-\frac{2^{2/3}\,\ln\left(\frac{9\,{\left(x^2-2\,x-2\right)}^{1/3}}{4}-\frac{9\,2^{1/3}\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{16}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{8}","Not used",1,"(2^(2/3)*log((9*(x^2 - 2*x - 2)^(1/3))/4 - (9*2^(1/3))/4))/4 + (2^(2/3)*log((9*(x^2 - 2*x - 2)^(1/3))/4 - (9*2^(1/3)*(3^(1/2)*1i - 1)^2)/16)*(3^(1/2)*1i - 1))/8 - (2^(2/3)*log((9*(x^2 - 2*x - 2)^(1/3))/4 - (9*2^(1/3)*(3^(1/2)*1i + 1)^2)/16)*(3^(1/2)*1i + 1))/8","B"
1807,0,-1,123,0.000000,"\text{Not used}","int(1/((x + 1)*(2*x + x^2 + 3)^(1/3)),x)","\int \frac{1}{\left(x+1\right)\,{\left(x^2+2\,x+3\right)}^{1/3}} \,d x","Not used",1,"int(1/((x + 1)*(2*x + x^2 + 3)^(1/3)), x)","F"
1808,1,44,123,0.999184,"\text{Not used}","int(1/(x*(a*x^2 - b)^(3/4)),x)","-\frac{\mathrm{atan}\left(\frac{{\left(a\,x^2-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)+\mathrm{atanh}\left(\frac{{\left(a\,x^2-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)}{{\left(-b\right)}^{3/4}}","Not used",1,"-(atan((a*x^2 - b)^(1/4)/(-b)^(1/4)) + atanh((a*x^2 - b)^(1/4)/(-b)^(1/4)))/(-b)^(3/4)","B"
1809,1,118,123,1.044567,"\text{Not used}","int(1/(x*(a*x^3 - b)^(1/3)),x)","\frac{\ln\left({\left(a\,x^3-b\right)}^{1/3}-{\left(-b\right)}^{1/3}\right)}{3\,{\left(-b\right)}^{1/3}}+\frac{\ln\left({\left(a\,x^3-b\right)}^{1/3}-\frac{{\left(-b\right)}^{1/3}\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{4}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,{\left(-b\right)}^{1/3}}-\frac{\ln\left({\left(a\,x^3-b\right)}^{1/3}-\frac{{\left(-b\right)}^{1/3}\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{4}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,{\left(-b\right)}^{1/3}}","Not used",1,"log((a*x^3 - b)^(1/3) - (-b)^(1/3))/(3*(-b)^(1/3)) + (log((a*x^3 - b)^(1/3) - ((-b)^(1/3)*(3^(1/2)*1i - 1)^2)/4)*(3^(1/2)*1i - 1))/(6*(-b)^(1/3)) - (log((a*x^3 - b)^(1/3) - ((-b)^(1/3)*(3^(1/2)*1i + 1)^2)/4)*(3^(1/2)*1i + 1))/(6*(-b)^(1/3))","B"
1810,-1,-1,123,0.000000,"\text{Not used}","int(-(b^3 - a^3*x^3)/((b^3 + a^3*x^3)*(b^2*x + a^2*x^3)^(1/2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
1811,-1,-1,123,0.000000,"\text{Not used}","int(-(b^3 + a^3*x^3)/((b^3 - a^3*x^3)*(b^2*x + a^2*x^3)^(1/2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
1812,0,-1,123,0.000000,"\text{Not used}","int((x^3 + x^4)^(1/4)/(x + 2*x^2 - 2),x)","\int \frac{{\left(x^4+x^3\right)}^{1/4}}{2\,x^2+x-2} \,d x","Not used",1,"int((x^3 + x^4)^(1/4)/(x + 2*x^2 - 2), x)","F"
1813,0,-1,123,0.000000,"\text{Not used}","int(-((4*b - a*x^3)*(b - a*x^3 + x^4))/(x^4*(a*x^3 - b)^(1/4)*(a*x^3 - b + x^4)),x)","\int -\frac{\left(4\,b-a\,x^3\right)\,\left(x^4-a\,x^3+b\right)}{x^4\,{\left(a\,x^3-b\right)}^{1/4}\,\left(x^4+a\,x^3-b\right)} \,d x","Not used",1,"int(-((4*b - a*x^3)*(b - a*x^3 + x^4))/(x^4*(a*x^3 - b)^(1/4)*(a*x^3 - b + x^4)), x)","F"
1814,0,-1,123,0.000000,"\text{Not used}","int(((x^2 - 1)*(x^2 - 2)*(x^2 + x^4 - 1)^(1/4))/(x^6*(x^2 + 2*x^4 - 1)),x)","\int \frac{\left(x^2-1\right)\,\left(x^2-2\right)\,{\left(x^4+x^2-1\right)}^{1/4}}{x^6\,\left(2\,x^4+x^2-1\right)} \,d x","Not used",1,"int(((x^2 - 1)*(x^2 - 2)*(x^2 + x^4 - 1)^(1/4))/(x^6*(x^2 + 2*x^4 - 1)), x)","F"
1815,0,-1,123,0.000000,"\text{Not used}","int(x^2*(a*x^4 + b*x^3)^(1/4),x)","\int x^2\,{\left(a\,x^4+b\,x^3\right)}^{1/4} \,d x","Not used",1,"int(x^2*(a*x^4 + b*x^3)^(1/4), x)","F"
1816,1,1195,123,0.877471,"\text{Not used}","int(-(x^6 + 1)/((x^6 - 1)*(x + x^2 + x^3)^(1/2)),x)","-\frac{2\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)\,\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\left(\frac{\mathrm{E}\left(\mathrm{asin}\left(\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)-\frac{\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}+1}}{\sqrt{1-\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}}}{\frac{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}+1}-\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)\right)\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}}{\sqrt{x^3+x^2-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,x}}-\frac{2\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{\sqrt{x^3+x^2-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,x}}+\frac{2\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)\,\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(-1;\mathrm{asin}\left(\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{\sqrt{x^3+x^2-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,x}}+\frac{2\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{3\,\sqrt{x^3+x^2-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,x}}+\frac{2\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{3\,\sqrt{x^3+x^2-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,x}}+\frac{2\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)\,\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}};\mathrm{asin}\left(\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{x^3+x^2-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,x}}+\frac{2\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)\,\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\left(\mathrm{E}\left(\mathrm{asin}\left(\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)+\frac{\sin\left(2\,\mathrm{asin}\left(\sqrt{\frac{x}{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{2\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}+1}}\right)}{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}+1\right)\,\sqrt{x^3+x^2-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,x}}","Not used",1,"(2*((3^(1/2)*1i)/6 - 1/6)*(x/((3^(1/2)*1i)/2 - 1/2))^(1/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 1/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 1/2))^(1/2)*ellipticPi(-1, asin((x/((3^(1/2)*1i)/2 - 1/2))^(1/2)), -((3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 + 1/2)))/(x^2 + x^3 - x*((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2) - (2*((3^(1/2)*1i)/2 - 1/2)*(x/((3^(1/2)*1i)/2 - 1/2))^(1/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 1/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 1/2))^(1/2)*ellipticF(asin((x/((3^(1/2)*1i)/2 - 1/2))^(1/2)), -((3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 + 1/2)))/(x^2 + x^3 - x*((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2) - (2*((3^(1/2)*1i)/6 - 1/6)*(x/((3^(1/2)*1i)/2 - 1/2))^(1/2)*((ellipticE(asin((x/((3^(1/2)*1i)/2 - 1/2))^(1/2)), -((3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 + 1/2)) - ((x/((3^(1/2)*1i)/2 - 1/2))^(1/2)*(x/((3^(1/2)*1i)/2 + 1/2) + 1)^(1/2))/(1 - x/((3^(1/2)*1i)/2 - 1/2))^(1/2))/(((3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 + 1/2) + 1) - ellipticF(asin((x/((3^(1/2)*1i)/2 - 1/2))^(1/2)), -((3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 + 1/2)))*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 1/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 1/2))^(1/2))/(x^2 + x^3 - x*((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2) + (2*((3^(1/2)*1i)/2 - 1/2)*(x/((3^(1/2)*1i)/2 - 1/2))^(1/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 1/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 1/2))^(1/2)*ellipticPi(1/2 - (3^(1/2)*1i)/2, asin((x/((3^(1/2)*1i)/2 - 1/2))^(1/2)), -((3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 + 1/2)))/(3*(x^2 + x^3 - x*((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2)) + (2*((3^(1/2)*1i)/2 - 1/2)*(x/((3^(1/2)*1i)/2 - 1/2))^(1/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 1/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 1/2))^(1/2)*ellipticPi((3^(1/2)*1i)/2 - 1/2, asin((x/((3^(1/2)*1i)/2 - 1/2))^(1/2)), -((3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 + 1/2)))/(3*(x^2 + x^3 - x*((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2)) + (2*((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/6 + 1/6)*(x/((3^(1/2)*1i)/2 - 1/2))^(1/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 1/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 1/2))^(1/2)*ellipticPi(((3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 + 1/2), asin((x/((3^(1/2)*1i)/2 - 1/2))^(1/2)), -((3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 + 1/2)))/(((3^(1/2)*1i)/2 + 1/2)*(x^2 + x^3 - x*((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2)) + (2*((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/6 + 1/6)*(x/((3^(1/2)*1i)/2 - 1/2))^(1/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 1/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 1/2))^(1/2)*(ellipticE(asin((x/((3^(1/2)*1i)/2 - 1/2))^(1/2)), -((3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 + 1/2)) + (sin(2*asin((x/((3^(1/2)*1i)/2 - 1/2))^(1/2)))*((3^(1/2)*1i)/2 - 1/2))/(2*((3^(1/2)*1i)/2 + 1/2)*(x/((3^(1/2)*1i)/2 + 1/2) + 1)^(1/2))))/(((3^(1/2)*1i)/2 + 1/2)*(((3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 + 1/2) + 1)*(x^2 + x^3 - x*((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2))","B"
1817,0,-1,123,0.000000,"\text{Not used}","int((3*x^6 - 3*x^3 + 1)/(x^6*(x^4 - x)^(1/4)*(2*x^3 - 1)),x)","\int \frac{3\,x^6-3\,x^3+1}{x^6\,{\left(x^4-x\right)}^{1/4}\,\left(2\,x^3-1\right)} \,d x","Not used",1,"int((3*x^6 - 3*x^3 + 1)/(x^6*(x^4 - x)^(1/4)*(2*x^3 - 1)), x)","F"
1818,0,-1,123,0.000000,"\text{Not used}","int((b + a*x^6)/(x^3*(b*x + a*x^4)^(1/4)*(b + a*x^3)),x)","\int \frac{a\,x^6+b}{x^3\,{\left(a\,x^4+b\,x\right)}^{1/4}\,\left(a\,x^3+b\right)} \,d x","Not used",1,"int((b + a*x^6)/(x^3*(b*x + a*x^4)^(1/4)*(b + a*x^3)), x)","F"
1819,0,-1,123,0.000000,"\text{Not used}","int(-((x + 2*x^4 + 2)*(x + x^2 - x^4 + 1))/((x^4 - x - 1)^(1/2)*(8*x + 3*x^2 - x^3 - 7*x^4 - 8*x^5 + x^6 + 4*x^8 + 4)),x)","\int -\frac{\left(2\,x^4+x+2\right)\,\left(-x^4+x^2+x+1\right)}{\sqrt{x^4-x-1}\,\left(4\,x^8+x^6-8\,x^5-7\,x^4-x^3+3\,x^2+8\,x+4\right)} \,d x","Not used",1,"int(-((x + 2*x^4 + 2)*(x + x^2 - x^4 + 1))/((x^4 - x - 1)^(1/2)*(8*x + 3*x^2 - x^3 - 7*x^4 - 8*x^5 + x^6 + 4*x^8 + 4)), x)","F"
1820,0,-1,123,0.000000,"\text{Not used}","int(-((x^6 + 1)^2*(2*x^6 - 1))/((x^6 - x^2 + 1)^(3/2)*(x^2 + x^4 - 2*x^6 + x^8 - x^12 - 1)),x)","\int -\frac{{\left(x^6+1\right)}^2\,\left(2\,x^6-1\right)}{{\left(x^6-x^2+1\right)}^{3/2}\,\left(-x^{12}+x^8-2\,x^6+x^4+x^2-1\right)} \,d x","Not used",1,"int(-((x^6 + 1)^2*(2*x^6 - 1))/((x^6 - x^2 + 1)^(3/2)*(x^2 + x^4 - 2*x^6 + x^8 - x^12 - 1)), x)","F"
1821,1,82,123,2.189402,"\text{Not used}","int(1/((x + 1)^(1/2) + 2*x^(1/2))^2,x)","\frac{10\,\mathrm{atanh}\left(\frac{2662400\,\sqrt{x}}{81\,\left(\frac{665600\,x}{81\,{\left(\sqrt{x+1}-1\right)}^2}+\frac{665600}{81}\right)\,\left(\sqrt{x+1}-1\right)}\right)}{9}+\frac{5\,\ln\left(x-\frac{1}{3}\right)}{9}-\frac{16\,\mathrm{atanh}\left(\frac{\sqrt{x}}{\sqrt{x+1}-1}\right)}{9}-\frac{8}{27\,\left(x-\frac{1}{3}\right)}+\frac{4\,\sqrt{x}\,\sqrt{x+1}}{3\,\left(3\,x-1\right)}","Not used",1,"(10*atanh((2662400*x^(1/2))/(81*((665600*x)/(81*((x + 1)^(1/2) - 1)^2) + 665600/81)*((x + 1)^(1/2) - 1))))/9 + (5*log(x - 1/3))/9 - (16*atanh(x^(1/2)/((x + 1)^(1/2) - 1)))/9 - 8/(27*(x - 1/3)) + (4*x^(1/2)*(x + 1)^(1/2))/(3*(3*x - 1))","B"
1822,0,-1,123,0.000000,"\text{Not used}","int(1/(x^3*(a*x^2 + b*x*((a^2*x^2)/b^2 - a/b^2)^(1/2))^(1/2)),x)","\int \frac{1}{x^3\,\sqrt{a\,x^2+b\,x\,\sqrt{\frac{a^2\,x^2}{b^2}-\frac{a}{b^2}}}} \,d x","Not used",1,"int(1/(x^3*(a*x^2 + b*x*((a^2*x^2)/b^2 - a/b^2)^(1/2))^(1/2)), x)","F"
1823,1,45,124,1.035073,"\text{Not used}","int(1/(x*(a*x^2 - b)^(1/4)),x)","\frac{\mathrm{atan}\left(\frac{{\left(a\,x^2-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)-\mathrm{atanh}\left(\frac{{\left(a\,x^2-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)}{{\left(-b\right)}^{1/4}}","Not used",1,"(atan((a*x^2 - b)^(1/4)/(-b)^(1/4)) - atanh((a*x^2 - b)^(1/4)/(-b)^(1/4)))/(-b)^(1/4)","B"
1824,0,-1,124,0.000000,"\text{Not used}","int((k^(3/2)*x^3 + 1)/((k^(3/2)*x^3 - 1)*((x^2 - 1)*(k^2*x^2 - 1))^(1/2)),x)","\int \frac{k^{3/2}\,x^3+1}{\left(k^{3/2}\,x^3-1\right)\,\sqrt{\left(x^2-1\right)\,\left(k^2\,x^2-1\right)}} \,d x","Not used",1,"int((k^(3/2)*x^3 + 1)/((k^(3/2)*x^3 - 1)*((x^2 - 1)*(k^2*x^2 - 1))^(1/2)), x)","F"
1825,0,-1,124,0.000000,"\text{Not used}","int(-((a*x^4 + b*x^3)^(1/4)*(d - 2*c*x))/x,x)","-\int \frac{{\left(a\,x^4+b\,x^3\right)}^{1/4}\,\left(d-2\,c\,x\right)}{x} \,d x","Not used",1,"-int(((a*x^4 + b*x^3)^(1/4)*(d - 2*c*x))/x, x)","F"
1826,0,-1,124,0.000000,"\text{Not used}","int((x^6 - 1)/((x^6 + 1)*(x^6 + a^3*x^3 + 1)^(1/3)),x)","\int \frac{x^6-1}{\left(x^6+1\right)\,{\left(a^3\,x^3+x^6+1\right)}^{1/3}} \,d x","Not used",1,"int((x^6 - 1)/((x^6 + 1)*(x^6 + a^3*x^3 + 1)^(1/3)), x)","F"
1827,0,-1,124,0.000000,"\text{Not used}","int(((x^3 + 4*x^6 + 2)*(x + 2*x^3 - x^4 - x^7)^(1/3))/((2*x^2 - x^3 - x^6 + 1)*(x^2 - x^3 - x^6 + 1)),x)","\int \frac{\left(4\,x^6+x^3+2\right)\,{\left(-x^7-x^4+2\,x^3+x\right)}^{1/3}}{\left(-x^6-x^3+2\,x^2+1\right)\,\left(-x^6-x^3+x^2+1\right)} \,d x","Not used",1,"int(((x^3 + 4*x^6 + 2)*(x + 2*x^3 - x^4 - x^7)^(1/3))/((2*x^2 - x^3 - x^6 + 1)*(x^2 - x^3 - x^6 + 1)), x)","F"
1828,0,-1,124,0.000000,"\text{Not used}","int(x^2/((b + a^2*x^4)^(1/2) + a*x^2)^(1/2),x)","\int \frac{x^2}{\sqrt{\sqrt{a^2\,x^4+b}+a\,x^2}} \,d x","Not used",1,"int(x^2/((b + a^2*x^4)^(1/2) + a*x^2)^(1/2), x)","F"
1829,0,-1,124,0.000000,"\text{Not used}","int(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)/(x^2 + 1)^(3/2),x)","\int \frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}}{{\left(x^2+1\right)}^{3/2}} \,d x","Not used",1,"int(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)/(x^2 + 1)^(3/2), x)","F"
1830,0,-1,124,0.000000,"\text{Not used}","int(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)/(x^2 + 1)^(3/2),x)","\int \frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}}{{\left(x^2+1\right)}^{3/2}} \,d x","Not used",1,"int(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)/(x^2 + 1)^(3/2), x)","F"
1831,0,-1,124,0.000000,"\text{Not used}","int(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)/(x^2 + 1)^(3/2),x)","\int \frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}}{{\left(x^2+1\right)}^{3/2}} \,d x","Not used",1,"int(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)/(x^2 + 1)^(3/2), x)","F"
1832,0,-1,125,0.000000,"\text{Not used}","int(1/((x - 1)*(x^2 - 2*x - 3)^(1/3)),x)","\int \frac{1}{\left(x-1\right)\,{\left(x^2-2\,x-3\right)}^{1/3}} \,d x","Not used",1,"int(1/((x - 1)*(x^2 - 2*x - 3)^(1/3)), x)","F"
1833,0,-1,125,0.000000,"\text{Not used}","int(1/((x - 1)*(x^2 - 2*x - 1)^(1/3)),x)","\int \frac{1}{\left(x-1\right)\,{\left(x^2-2\,x-1\right)}^{1/3}} \,d x","Not used",1,"int(1/((x - 1)*(x^2 - 2*x - 1)^(1/3)), x)","F"
1834,0,-1,125,0.000000,"\text{Not used}","int(1/((x + 1)*(2*x + x^2 - 1)^(1/3)),x)","\int \frac{1}{\left(x+1\right)\,{\left(x^2+2\,x-1\right)}^{1/3}} \,d x","Not used",1,"int(1/((x + 1)*(2*x + x^2 - 1)^(1/3)), x)","F"
1835,0,-1,125,0.000000,"\text{Not used}","int(-(x^3*(a + b) - 2*a*b*x^2)/((a - x)*(b - x)*(x^2*(d - 1) - d*x*(a + b) + a*b*d)*(x^2*(a - x)*(b - x))^(1/4)),x)","\int -\frac{x^3\,\left(a+b\right)-2\,a\,b\,x^2}{\left(a-x\right)\,\left(b-x\right)\,\left(\left(d-1\right)\,x^2-d\,\left(a+b\right)\,x+a\,b\,d\right)\,{\left(x^2\,\left(a-x\right)\,\left(b-x\right)\right)}^{1/4}} \,d x","Not used",1,"int(-(x^3*(a + b) - 2*a*b*x^2)/((a - x)*(b - x)*(x^2*(d - 1) - d*x*(a + b) + a*b*d)*(x^2*(a - x)*(b - x))^(1/4)), x)","F"
1836,0,-1,125,0.000000,"\text{Not used}","int(-((x^2*(3*a - 2*b) + a*b^2 - 2*b*x*(2*a - b))*(a^2 - 2*a*x + x^2))/((-x*(a - x)*(b - x)^2)^(3/4)*(x^2*(2*b - 3*a*d) - a^3*d + x*(3*a^2*d - b^2) + x^3*(d - 1))),x)","-\int \frac{\left(x^2\,\left(3\,a-2\,b\right)+a\,b^2-2\,b\,x\,\left(2\,a-b\right)\right)\,\left(a^2-2\,a\,x+x^2\right)}{{\left(-x\,\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{3/4}\,\left(x^2\,\left(2\,b-3\,a\,d\right)-a^3\,d+x\,\left(3\,a^2\,d-b^2\right)+x^3\,\left(d-1\right)\right)} \,d x","Not used",1,"-int(((x^2*(3*a - 2*b) + a*b^2 - 2*b*x*(2*a - b))*(a^2 - 2*a*x + x^2))/((-x*(a - x)*(b - x)^2)^(3/4)*(x^2*(2*b - 3*a*d) - a^3*d + x*(3*a^2*d - b^2) + x^3*(d - 1))), x)","F"
1837,0,-1,125,0.000000,"\text{Not used}","int((k^(3/2)*x^3 - 1)/((k^(3/2)*x^3 + 1)*((x^2 - 1)*(k^2*x^2 - 1))^(1/2)),x)","\int \frac{k^{3/2}\,x^3-1}{\left(k^{3/2}\,x^3+1\right)\,\sqrt{\left(x^2-1\right)\,\left(k^2\,x^2-1\right)}} \,d x","Not used",1,"int((k^(3/2)*x^3 - 1)/((k^(3/2)*x^3 + 1)*((x^2 - 1)*(k^2*x^2 - 1))^(1/2)), x)","F"
1838,1,537,125,0.073025,"\text{Not used}","int((x^3 - x^2 - x)^(1/2)/(x^4 - 1),x)","\frac{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)\,\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\,\sqrt{\frac{x+\frac{\sqrt{5}}{2}-\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}}\,\sqrt{\frac{\frac{\sqrt{5}}{2}-x+\frac{1}{2}}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\,\Pi \left(-\frac{\sqrt{5}}{2}-\frac{1}{2};\mathrm{asin}\left(\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\right)\middle|-\frac{\frac{\sqrt{5}}{2}+\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}\right)}{2\,\sqrt{x^3-x^2-\left(\frac{\sqrt{5}}{2}-\frac{1}{2}\right)\,\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)\,x}}+\frac{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)\,\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\,\sqrt{\frac{x+\frac{\sqrt{5}}{2}-\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}}\,\sqrt{\frac{\frac{\sqrt{5}}{2}-x+\frac{1}{2}}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\,\Pi \left(\frac{\sqrt{5}}{2}+\frac{1}{2};\mathrm{asin}\left(\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\right)\middle|-\frac{\frac{\sqrt{5}}{2}+\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}\right)}{2\,\sqrt{x^3-x^2-\left(\frac{\sqrt{5}}{2}-\frac{1}{2}\right)\,\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)\,x}}+\frac{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)\,\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\,\sqrt{\frac{x+\frac{\sqrt{5}}{2}-\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}}\,\sqrt{\frac{\frac{\sqrt{5}}{2}-x+\frac{1}{2}}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\,\Pi \left(-\frac{\sqrt{5}\,1{}\mathrm{i}}{2}-\frac{1}{2}{}\mathrm{i};\mathrm{asin}\left(\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\right)\middle|-\frac{\frac{\sqrt{5}}{2}+\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}\right)\,\left(-\frac{1}{2}+1{}\mathrm{i}\right)}{\sqrt{x^3-x^2-\left(\frac{\sqrt{5}}{2}-\frac{1}{2}\right)\,\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)\,x}}+\frac{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)\,\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\,\sqrt{\frac{x+\frac{\sqrt{5}}{2}-\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}}\,\sqrt{\frac{\frac{\sqrt{5}}{2}-x+\frac{1}{2}}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\,\Pi \left(\frac{\sqrt{5}\,1{}\mathrm{i}}{2}+\frac{1}{2}{}\mathrm{i};\mathrm{asin}\left(\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\right)\middle|-\frac{\frac{\sqrt{5}}{2}+\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}\right)\,\left(-\frac{1}{2}-\mathrm{i}\right)}{\sqrt{x^3-x^2-\left(\frac{\sqrt{5}}{2}-\frac{1}{2}\right)\,\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)\,x}}","Not used",1,"((5^(1/2)/2 + 1/2)*(x/(5^(1/2)/2 + 1/2))^(1/2)*((x + 5^(1/2)/2 - 1/2)/(5^(1/2)/2 - 1/2))^(1/2)*((5^(1/2)/2 - x + 1/2)/(5^(1/2)/2 + 1/2))^(1/2)*ellipticPi(- 5^(1/2)/2 - 1/2, asin((x/(5^(1/2)/2 + 1/2))^(1/2)), -(5^(1/2)/2 + 1/2)/(5^(1/2)/2 - 1/2)))/(2*(x^3 - x^2 - x*(5^(1/2)/2 - 1/2)*(5^(1/2)/2 + 1/2))^(1/2)) + ((5^(1/2)/2 + 1/2)*(x/(5^(1/2)/2 + 1/2))^(1/2)*((x + 5^(1/2)/2 - 1/2)/(5^(1/2)/2 - 1/2))^(1/2)*((5^(1/2)/2 - x + 1/2)/(5^(1/2)/2 + 1/2))^(1/2)*ellipticPi(5^(1/2)/2 + 1/2, asin((x/(5^(1/2)/2 + 1/2))^(1/2)), -(5^(1/2)/2 + 1/2)/(5^(1/2)/2 - 1/2)))/(2*(x^3 - x^2 - x*(5^(1/2)/2 - 1/2)*(5^(1/2)/2 + 1/2))^(1/2)) - ((5^(1/2)/2 + 1/2)*(x/(5^(1/2)/2 + 1/2))^(1/2)*((x + 5^(1/2)/2 - 1/2)/(5^(1/2)/2 - 1/2))^(1/2)*((5^(1/2)/2 - x + 1/2)/(5^(1/2)/2 + 1/2))^(1/2)*ellipticPi(- (5^(1/2)*1i)/2 - 1i/2, asin((x/(5^(1/2)/2 + 1/2))^(1/2)), -(5^(1/2)/2 + 1/2)/(5^(1/2)/2 - 1/2))*(1/2 - 1i))/(x^3 - x^2 - x*(5^(1/2)/2 - 1/2)*(5^(1/2)/2 + 1/2))^(1/2) - ((5^(1/2)/2 + 1/2)*(x/(5^(1/2)/2 + 1/2))^(1/2)*((x + 5^(1/2)/2 - 1/2)/(5^(1/2)/2 - 1/2))^(1/2)*((5^(1/2)/2 - x + 1/2)/(5^(1/2)/2 + 1/2))^(1/2)*ellipticPi((5^(1/2)*1i)/2 + 1i/2, asin((x/(5^(1/2)/2 + 1/2))^(1/2)), -(5^(1/2)/2 + 1/2)/(5^(1/2)/2 - 1/2))*(1/2 + 1i))/(x^3 - x^2 - x*(5^(1/2)/2 - 1/2)*(5^(1/2)/2 + 1/2))^(1/2)","B"
1839,0,-1,125,0.000000,"\text{Not used}","int(-((b + a*x^3)*(x + x^4)^(1/2))/(d - c*x^3),x)","\int -\frac{\left(a\,x^3+b\right)\,\sqrt{x^4+x}}{d-c\,x^3} \,d x","Not used",1,"int(-((b + a*x^3)*(x + x^4)^(1/2))/(d - c*x^3), x)","F"
1840,1,81,125,1.302434,"\text{Not used}","int((2*x^4 - 2*x + 1)/(x*(x^4 - 1)^(1/4)),x)","\frac{2\,{\left(x^4-1\right)}^{3/4}}{3}-\frac{2\,x\,{\left(1-x^4\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{1}{4};\ \frac{5}{4};\ x^4\right)}{{\left(x^4-1\right)}^{1/4}}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,{\left(x^4-1\right)}^{1/4}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{4}-\frac{1}{4}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,{\left(x^4-1\right)}^{1/4}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{4}+\frac{1}{4}{}\mathrm{i}\right)","Not used",1,"2^(1/2)*atan(2^(1/2)*(x^4 - 1)^(1/4)*(1/2 - 1i/2))*(1/4 - 1i/4) + 2^(1/2)*atan(2^(1/2)*(x^4 - 1)^(1/4)*(1/2 + 1i/2))*(1/4 + 1i/4) + (2*(x^4 - 1)^(3/4))/3 - (2*x*(1 - x^4)^(1/4)*hypergeom([1/4, 1/4], 5/4, x^4))/(x^4 - 1)^(1/4)","B"
1841,0,-1,125,0.000000,"\text{Not used}","int(-(x^2*(4*b - a*x^5))/((b + a*x^5)^(3/4)*(b + a*x^5 + c*x^4)),x)","-\int \frac{x^2\,\left(4\,b-a\,x^5\right)}{{\left(a\,x^5+b\right)}^{3/4}\,\left(a\,x^5+c\,x^4+b\right)} \,d x","Not used",1,"-int((x^2*(4*b - a*x^5))/((b + a*x^5)^(3/4)*(b + a*x^5 + c*x^4)), x)","F"
1842,0,-1,125,0.000000,"\text{Not used}","int(1/(2*x - x^2 - 4*x^3 - x^4 + 2*x^5 + x^6 + 1)^(1/6),x)","\int \frac{1}{{\left(x^6+2\,x^5-x^4-4\,x^3-x^2+2\,x+1\right)}^{1/6}} \,d x","Not used",1,"int(1/(2*x - x^2 - 4*x^3 - x^4 + 2*x^5 + x^6 + 1)^(1/6), x)","F"
1843,0,-1,125,0.000000,"\text{Not used}","int(-(x^2*(2*b - a*x^6))/((b + a*x^6)^(3/4)*(b + a*x^6 + c*x^4)),x)","-\int \frac{x^2\,\left(2\,b-a\,x^6\right)}{{\left(a\,x^6+b\right)}^{3/4}\,\left(a\,x^6+c\,x^4+b\right)} \,d x","Not used",1,"-int((x^2*(2*b - a*x^6))/((b + a*x^6)^(3/4)*(b + a*x^6 + c*x^4)), x)","F"
1844,0,-1,125,0.000000,"\text{Not used}","int(-((x^3 + 4)*(2*x^3 + x^6 + x^8 + 1))/(x^4*(x^3 + 1)^(1/4)*(2*x^3 + x^6 - x^8 + 1)),x)","\int -\frac{\left(x^3+4\right)\,\left(x^8+x^6+2\,x^3+1\right)}{x^4\,{\left(x^3+1\right)}^{1/4}\,\left(-x^8+x^6+2\,x^3+1\right)} \,d x","Not used",1,"int(-((x^3 + 4)*(2*x^3 + x^6 + x^8 + 1))/(x^4*(x^3 + 1)^(1/4)*(2*x^3 + x^6 - x^8 + 1)), x)","F"
1845,0,-1,125,0.000000,"\text{Not used}","int((2*x^8 - x^4 + 2)/((x^4 + 1)^(1/4)*(x^4 + x^8 - 2)),x)","\int \frac{2\,x^8-x^4+2}{{\left(x^4+1\right)}^{1/4}\,\left(x^8+x^4-2\right)} \,d x","Not used",1,"int((2*x^8 - x^4 + 2)/((x^4 + 1)^(1/4)*(x^4 + x^8 - 2)), x)","F"
1846,0,-1,125,0.000000,"\text{Not used}","int((b + (a*x^2 + b^2)^(1/2))^(1/2)/(a*x^2 + b^2)^2,x)","\int \frac{\sqrt{b+\sqrt{b^2+a\,x^2}}}{{\left(b^2+a\,x^2\right)}^2} \,d x","Not used",1,"int((b + (a*x^2 + b^2)^(1/2))^(1/2)/(a*x^2 + b^2)^2, x)","F"
1847,0,-1,126,0.000000,"\text{Not used}","int(-((x^4 - x)^(1/2)*(b + a*x^3))/(d - c*x^3),x)","\int -\frac{\sqrt{x^4-x}\,\left(a\,x^3+b\right)}{d-c\,x^3} \,d x","Not used",1,"int(-((x^4 - x)^(1/2)*(b + a*x^3))/(d - c*x^3), x)","F"
1848,0,-1,126,0.000000,"\text{Not used}","int(-(b + a*x^3)/(x^3*(b*x + a*x^4)^(1/4)*(b - a*x^3)),x)","-\int \frac{a\,x^3+b}{x^3\,{\left(a\,x^4+b\,x\right)}^{1/4}\,\left(b-a\,x^3\right)} \,d x","Not used",1,"-int((b + a*x^3)/(x^3*(b*x + a*x^4)^(1/4)*(b - a*x^3)), x)","F"
1849,0,-1,126,0.000000,"\text{Not used}","int(((2*x^6 + 1)*(x + x^3 - x^7)^(1/3))/(x^6 - 1)^2,x)","\int \frac{\left(2\,x^6+1\right)\,{\left(-x^7+x^3+x\right)}^{1/3}}{{\left(x^6-1\right)}^2} \,d x","Not used",1,"int(((2*x^6 + 1)*(x + x^3 - x^7)^(1/3))/(x^6 - 1)^2, x)","F"
1850,0,-1,127,0.000000,"\text{Not used}","int(-(b^2*(2*a - b) + x^2*(2*a + b) - x^3 - b*x*(4*a - b))/((-(a - x)*(b - x)^2)^(3/4)*(a - x*(2*b*d + 1) + b^2*d + d*x^2)),x)","\int -\frac{b^2\,\left(2\,a-b\right)+x^2\,\left(2\,a+b\right)-x^3-b\,x\,\left(4\,a-b\right)}{{\left(-\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{3/4}\,\left(a-x\,\left(2\,b\,d+1\right)+b^2\,d+d\,x^2\right)} \,d x","Not used",1,"int(-(b^2*(2*a - b) + x^2*(2*a + b) - x^3 - b*x*(4*a - b))/((-(a - x)*(b - x)^2)^(3/4)*(a - x*(2*b*d + 1) + b^2*d + d*x^2)), x)","F"
1851,0,-1,127,0.000000,"\text{Not used}","int(-(x^4 + 2)/((x^2 + x^4)^(1/4)*(x^4 - 2*x^8 + 1)),x)","\int -\frac{x^4+2}{{\left(x^4+x^2\right)}^{1/4}\,\left(-2\,x^8+x^4+1\right)} \,d x","Not used",1,"int(-(x^4 + 2)/((x^2 + x^4)^(1/4)*(x^4 - 2*x^8 + 1)), x)","F"
1852,0,-1,127,0.000000,"\text{Not used}","int(-(x^4 + 2)/((x^2 + x^4)^(1/4)*(x^4 - 2*x^8 + 1)),x)","\int -\frac{x^4+2}{{\left(x^4+x^2\right)}^{1/4}\,\left(-2\,x^8+x^4+1\right)} \,d x","Not used",1,"int(-(x^4 + 2)/((x^2 + x^4)^(1/4)*(x^4 - 2*x^8 + 1)), x)","F"
1853,0,-1,127,0.000000,"\text{Not used}","int((x + (x + 1)^(1/2))^(1/2)/x^2,x)","\int \frac{\sqrt{x+\sqrt{x+1}}}{x^2} \,d x","Not used",1,"int((x + (x + 1)^(1/2))^(1/2)/x^2, x)","F"
1854,0,-1,127,0.000000,"\text{Not used}","int(((x + (x^2 + 1)^(1/2))^(1/2)*(x - 1))/(x + 1),x)","\int \frac{\sqrt{x+\sqrt{x^2+1}}\,\left(x-1\right)}{x+1} \,d x","Not used",1,"int(((x + (x^2 + 1)^(1/2))^(1/2)*(x - 1))/(x + 1), x)","F"
1855,0,-1,127,0.000000,"\text{Not used}","int(((x + (x^2 + 1)^(1/2))^(1/2)*(x + 1))/(x - 1),x)","\int \frac{\sqrt{x+\sqrt{x^2+1}}\,\left(x+1\right)}{x-1} \,d x","Not used",1,"int(((x + (x^2 + 1)^(1/2))^(1/2)*(x + 1))/(x - 1), x)","F"
1856,0,-1,128,0.000000,"\text{Not used}","int((2*x + x^2 + 6)/((x + 1)*(2*x^2 - x + 2)*(x + x^2 + 2)^(1/3)),x)","\int \frac{x^2+2\,x+6}{\left(x+1\right)\,\left(2\,x^2-x+2\right)\,{\left(x^2+x+2\right)}^{1/3}} \,d x","Not used",1,"int((2*x + x^2 + 6)/((x + 1)*(2*x^2 - x + 2)*(x + x^2 + 2)^(1/3)), x)","F"
1857,1,51,128,1.022324,"\text{Not used}","int(1/(x*(a*x^3 - b)^(3/4)),x)","-\frac{2\,\mathrm{atan}\left(\frac{{\left(a\,x^3-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)}{3\,{\left(-b\right)}^{3/4}}-\frac{2\,\mathrm{atanh}\left(\frac{{\left(a\,x^3-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)}{3\,{\left(-b\right)}^{3/4}}","Not used",1,"- (2*atan((a*x^3 - b)^(1/4)/(-b)^(1/4)))/(3*(-b)^(3/4)) - (2*atanh((a*x^3 - b)^(1/4)/(-b)^(1/4)))/(3*(-b)^(3/4))","B"
1858,1,51,128,0.960113,"\text{Not used}","int(1/(x*(a*x^3 - b)^(1/4)),x)","\frac{2\,\mathrm{atan}\left(\frac{{\left(a\,x^3-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)}{3\,{\left(-b\right)}^{1/4}}-\frac{2\,\mathrm{atanh}\left(\frac{{\left(a\,x^3-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)}{3\,{\left(-b\right)}^{1/4}}","Not used",1,"(2*atan((a*x^3 - b)^(1/4)/(-b)^(1/4)))/(3*(-b)^(1/4)) - (2*atanh((a*x^3 - b)^(1/4)/(-b)^(1/4)))/(3*(-b)^(1/4))","B"
1859,0,-1,128,0.000000,"\text{Not used}","int(-((3*b - a*x^2)*(b - a*x^2 + x^3))/(x^3*(a*x^3 - b*x)^(1/4)*(a*x^2 - b + x^3)),x)","\int -\frac{\left(3\,b-a\,x^2\right)\,\left(x^3-a\,x^2+b\right)}{x^3\,{\left(a\,x^3-b\,x\right)}^{1/4}\,\left(x^3+a\,x^2-b\right)} \,d x","Not used",1,"int(-((3*b - a*x^2)*(b - a*x^2 + x^3))/(x^3*(a*x^3 - b*x)^(1/4)*(a*x^2 - b + x^3)), x)","F"
1860,1,44,128,1.002675,"\text{Not used}","int(1/(x*(a*x^4 - b)^(3/4)),x)","-\frac{\mathrm{atan}\left(\frac{{\left(a\,x^4-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)+\mathrm{atanh}\left(\frac{{\left(a\,x^4-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)}{2\,{\left(-b\right)}^{3/4}}","Not used",1,"-(atan((a*x^4 - b)^(1/4)/(-b)^(1/4)) + atanh((a*x^4 - b)^(1/4)/(-b)^(1/4)))/(2*(-b)^(3/4))","B"
1861,1,46,128,0.965843,"\text{Not used}","int(1/(x*(a*x^4 - b)^(1/4)),x)","\frac{\mathrm{atan}\left(\frac{{\left(a\,x^4-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)-\mathrm{atanh}\left(\frac{{\left(a\,x^4-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)}{2\,{\left(-b\right)}^{1/4}}","Not used",1,"(atan((a*x^4 - b)^(1/4)/(-b)^(1/4)) - atanh((a*x^4 - b)^(1/4)/(-b)^(1/4)))/(2*(-b)^(1/4))","B"
1862,1,1163,128,1.062020,"\text{Not used}","int(-(x^5 - 1)/((x^5 + 1)*(a + b*x)^(1/2)),x)","\frac{2\,\ln\left(655360\,b^{32}\,\sqrt{a+b\,x}+\frac{2\,\left(1638400\,b^{33}-\frac{16\,\left(\frac{2\,\left(\frac{2\,\left(400000000\,a^2\,b^{34}-\frac{400000000\,a\,b^{35}\,\sqrt{a+b\,x}}{\sqrt{a-b}}\right)}{5\,\sqrt{a-b}}-320000000\,a^2\,b^{33}\,\sqrt{a+b\,x}\right)}{5\,\sqrt{a-b}}+64000000\,a^3\,b^{32}\right)}{625\,{\left(a-b\right)}^2}\right)}{5\,\sqrt{a-b}}\right)}{5\,\sqrt{a-b}}-\frac{2\,\ln\left(655360\,b^{32}\,\sqrt{a+b\,x}-\frac{2\,\left(1638400\,b^{33}-\frac{16\,\left(\frac{2\,\left(\frac{2\,\left(400000000\,a^2\,b^{34}+\frac{400000000\,a\,b^{35}\,\sqrt{a+b\,x}}{\sqrt{a-b}}\right)}{5\,\sqrt{a-b}}+320000000\,a^2\,b^{33}\,\sqrt{a+b\,x}\right)}{5\,\sqrt{a-b}}+64000000\,a^3\,b^{32}\right)}{625\,{\left(a-b\right)}^2}\right)}{5\,\sqrt{a-b}}\right)}{5\,\sqrt{a-b}}-\frac{2\,\sqrt{a+b\,x}}{b}+\left(\sum _{k=1}^8\ln\left(\mathrm{root}\left(390625\,a^2\,b^2\,z^8+390625\,a^3\,b\,z^8+390625\,a\,b^3\,z^8+390625\,b^4\,z^8+390625\,a^4\,z^8+187500\,a\,b^2\,z^6+125000\,a^2\,b\,z^6-62500\,b^3\,z^6+62500\,a^3\,z^6-20000\,a\,b\,z^4+10000\,b^2\,z^4+10000\,a^2\,z^4-1600\,b\,z^2+1600\,a\,z^2+256,z,k\right)\,\left(\mathrm{root}\left(390625\,a^2\,b^2\,z^8+390625\,a^3\,b\,z^8+390625\,a\,b^3\,z^8+390625\,b^4\,z^8+390625\,a^4\,z^8+187500\,a\,b^2\,z^6+125000\,a^2\,b\,z^6-62500\,b^3\,z^6+62500\,a^3\,z^6-20000\,a\,b\,z^4+10000\,b^2\,z^4+10000\,a^2\,z^4-1600\,b\,z^2+1600\,a\,z^2+256,z,k\right)\,\left({\mathrm{root}\left(390625\,a^2\,b^2\,z^8+390625\,a^3\,b\,z^8+390625\,a\,b^3\,z^8+390625\,b^4\,z^8+390625\,a^4\,z^8+187500\,a\,b^2\,z^6+125000\,a^2\,b\,z^6-62500\,b^3\,z^6+62500\,a^3\,z^6-20000\,a\,b\,z^4+10000\,b^2\,z^4+10000\,a^2\,z^4-1600\,b\,z^2+1600\,a\,z^2+256,z,k\right)}^4\,\left(\mathrm{root}\left(390625\,a^2\,b^2\,z^8+390625\,a^3\,b\,z^8+390625\,a\,b^3\,z^8+390625\,b^4\,z^8+390625\,a^4\,z^8+187500\,a\,b^2\,z^6+125000\,a^2\,b\,z^6-62500\,b^3\,z^6+62500\,a^3\,z^6-20000\,a\,b\,z^4+10000\,b^2\,z^4+10000\,a^2\,z^4-1600\,b\,z^2+1600\,a\,z^2+256,z,k\right)\,\left(\mathrm{root}\left(390625\,a^2\,b^2\,z^8+390625\,a^3\,b\,z^8+390625\,a\,b^3\,z^8+390625\,b^4\,z^8+390625\,a^4\,z^8+187500\,a\,b^2\,z^6+125000\,a^2\,b\,z^6-62500\,b^3\,z^6+62500\,a^3\,z^6-20000\,a\,b\,z^4+10000\,b^2\,z^4+10000\,a^2\,z^4-1600\,b\,z^2+1600\,a\,z^2+256,z,k\right)\,\left(400000000\,a^2\,b^{34}-\mathrm{root}\left(390625\,a^2\,b^2\,z^8+390625\,a^3\,b\,z^8+390625\,a\,b^3\,z^8+390625\,b^4\,z^8+390625\,a^4\,z^8+187500\,a\,b^2\,z^6+125000\,a^2\,b\,z^6-62500\,b^3\,z^6+62500\,a^3\,z^6-20000\,a\,b\,z^4+10000\,b^2\,z^4+10000\,a^2\,z^4-1600\,b\,z^2+1600\,a\,z^2+256,z,k\right)\,a\,b^{35}\,\sqrt{a+b\,x}\,1000000000\right)-320000000\,a^2\,b^{33}\,\sqrt{a+b\,x}\right)+64000000\,a^3\,b^{32}\right)-1638400\,b^{33}\right)-655360\,b^{32}\,\sqrt{a+b\,x}\right)\right)\,\mathrm{root}\left(390625\,a^2\,b^2\,z^8+390625\,a^3\,b\,z^8+390625\,a\,b^3\,z^8+390625\,b^4\,z^8+390625\,a^4\,z^8+187500\,a\,b^2\,z^6+125000\,a^2\,b\,z^6-62500\,b^3\,z^6+62500\,a^3\,z^6-20000\,a\,b\,z^4+10000\,b^2\,z^4+10000\,a^2\,z^4-1600\,b\,z^2+1600\,a\,z^2+256,z,k\right)\right)","Not used",1,"(2*log(655360*b^32*(a + b*x)^(1/2) + (2*(1638400*b^33 - (16*((2*((2*(400000000*a^2*b^34 - (400000000*a*b^35*(a + b*x)^(1/2))/(a - b)^(1/2)))/(5*(a - b)^(1/2)) - 320000000*a^2*b^33*(a + b*x)^(1/2)))/(5*(a - b)^(1/2)) + 64000000*a^3*b^32))/(625*(a - b)^2)))/(5*(a - b)^(1/2))))/(5*(a - b)^(1/2)) - (2*log(655360*b^32*(a + b*x)^(1/2) - (2*(1638400*b^33 - (16*((2*((2*(400000000*a^2*b^34 + (400000000*a*b^35*(a + b*x)^(1/2))/(a - b)^(1/2)))/(5*(a - b)^(1/2)) + 320000000*a^2*b^33*(a + b*x)^(1/2)))/(5*(a - b)^(1/2)) + 64000000*a^3*b^32))/(625*(a - b)^2)))/(5*(a - b)^(1/2))))/(5*(a - b)^(1/2)) - (2*(a + b*x)^(1/2))/b + symsum(log(root(390625*a^2*b^2*z^8 + 390625*a^3*b*z^8 + 390625*a*b^3*z^8 + 390625*b^4*z^8 + 390625*a^4*z^8 + 187500*a*b^2*z^6 + 125000*a^2*b*z^6 - 62500*b^3*z^6 + 62500*a^3*z^6 - 20000*a*b*z^4 + 10000*b^2*z^4 + 10000*a^2*z^4 - 1600*b*z^2 + 1600*a*z^2 + 256, z, k)*(root(390625*a^2*b^2*z^8 + 390625*a^3*b*z^8 + 390625*a*b^3*z^8 + 390625*b^4*z^8 + 390625*a^4*z^8 + 187500*a*b^2*z^6 + 125000*a^2*b*z^6 - 62500*b^3*z^6 + 62500*a^3*z^6 - 20000*a*b*z^4 + 10000*b^2*z^4 + 10000*a^2*z^4 - 1600*b*z^2 + 1600*a*z^2 + 256, z, k)*(root(390625*a^2*b^2*z^8 + 390625*a^3*b*z^8 + 390625*a*b^3*z^8 + 390625*b^4*z^8 + 390625*a^4*z^8 + 187500*a*b^2*z^6 + 125000*a^2*b*z^6 - 62500*b^3*z^6 + 62500*a^3*z^6 - 20000*a*b*z^4 + 10000*b^2*z^4 + 10000*a^2*z^4 - 1600*b*z^2 + 1600*a*z^2 + 256, z, k)^4*(root(390625*a^2*b^2*z^8 + 390625*a^3*b*z^8 + 390625*a*b^3*z^8 + 390625*b^4*z^8 + 390625*a^4*z^8 + 187500*a*b^2*z^6 + 125000*a^2*b*z^6 - 62500*b^3*z^6 + 62500*a^3*z^6 - 20000*a*b*z^4 + 10000*b^2*z^4 + 10000*a^2*z^4 - 1600*b*z^2 + 1600*a*z^2 + 256, z, k)*(root(390625*a^2*b^2*z^8 + 390625*a^3*b*z^8 + 390625*a*b^3*z^8 + 390625*b^4*z^8 + 390625*a^4*z^8 + 187500*a*b^2*z^6 + 125000*a^2*b*z^6 - 62500*b^3*z^6 + 62500*a^3*z^6 - 20000*a*b*z^4 + 10000*b^2*z^4 + 10000*a^2*z^4 - 1600*b*z^2 + 1600*a*z^2 + 256, z, k)*(400000000*a^2*b^34 - 1000000000*root(390625*a^2*b^2*z^8 + 390625*a^3*b*z^8 + 390625*a*b^3*z^8 + 390625*b^4*z^8 + 390625*a^4*z^8 + 187500*a*b^2*z^6 + 125000*a^2*b*z^6 - 62500*b^3*z^6 + 62500*a^3*z^6 - 20000*a*b*z^4 + 10000*b^2*z^4 + 10000*a^2*z^4 - 1600*b*z^2 + 1600*a*z^2 + 256, z, k)*a*b^35*(a + b*x)^(1/2)) - 320000000*a^2*b^33*(a + b*x)^(1/2)) + 64000000*a^3*b^32) - 1638400*b^33) - 655360*b^32*(a + b*x)^(1/2)))*root(390625*a^2*b^2*z^8 + 390625*a^3*b*z^8 + 390625*a*b^3*z^8 + 390625*b^4*z^8 + 390625*a^4*z^8 + 187500*a*b^2*z^6 + 125000*a^2*b*z^6 - 62500*b^3*z^6 + 62500*a^3*z^6 - 20000*a*b*z^4 + 10000*b^2*z^4 + 10000*a^2*z^4 - 1600*b*z^2 + 1600*a*z^2 + 256, z, k), k, 1, 8)","B"
1863,1,51,128,1.017704,"\text{Not used}","int(1/(x*(a*x^5 - b)^(3/4)),x)","-\frac{2\,\mathrm{atan}\left(\frac{{\left(a\,x^5-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)}{5\,{\left(-b\right)}^{3/4}}-\frac{2\,\mathrm{atanh}\left(\frac{{\left(a\,x^5-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)}{5\,{\left(-b\right)}^{3/4}}","Not used",1,"- (2*atan((a*x^5 - b)^(1/4)/(-b)^(1/4)))/(5*(-b)^(3/4)) - (2*atanh((a*x^5 - b)^(1/4)/(-b)^(1/4)))/(5*(-b)^(3/4))","B"
1864,1,44,128,1.017041,"\text{Not used}","int(1/(x*(a*x^6 - b)^(3/4)),x)","-\frac{\mathrm{atan}\left(\frac{{\left(a\,x^6-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)+\mathrm{atanh}\left(\frac{{\left(a\,x^6-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)}{3\,{\left(-b\right)}^{3/4}}","Not used",1,"-(atan((a*x^6 - b)^(1/4)/(-b)^(1/4)) + atanh((a*x^6 - b)^(1/4)/(-b)^(1/4)))/(3*(-b)^(3/4))","B"
1865,0,-1,128,0.000000,"\text{Not used}","int(((x^4 + 1)*(x^2 + x^4 - 1)^(3/2))/((x^4 - 1)*(x^2 - x^4 - x^6 + x^8 + 1)),x)","\int \frac{\left(x^4+1\right)\,{\left(x^4+x^2-1\right)}^{3/2}}{\left(x^4-1\right)\,\left(x^8-x^6-x^4+x^2+1\right)} \,d x","Not used",1,"int(((x^4 + 1)*(x^2 + x^4 - 1)^(3/2))/((x^4 - 1)*(x^2 - x^4 - x^6 + x^8 + 1)), x)","F"
1866,0,-1,128,0.000000,"\text{Not used}","int(((x^6 - 1)*(x^3 + x^6 + 1)^(2/3))/(x^6 + x^12 + 1),x)","\int \frac{\left(x^6-1\right)\,{\left(x^6+x^3+1\right)}^{2/3}}{x^{12}+x^6+1} \,d x","Not used",1,"int(((x^6 - 1)*(x^3 + x^6 + 1)^(2/3))/(x^6 + x^12 + 1), x)","F"
1867,0,-1,128,0.000000,"\text{Not used}","int(((x^3 - 1)^3*(x^3 + 1)*(3*x^6 + 2*x^12 + 2)^(1/2))/(x^7*(x^6 + 1)),x)","\int \frac{{\left(x^3-1\right)}^3\,\left(x^3+1\right)\,\sqrt{2\,x^{12}+3\,x^6+2}}{x^7\,\left(x^6+1\right)} \,d x","Not used",1,"int(((x^3 - 1)^3*(x^3 + 1)*(3*x^6 + 2*x^12 + 2)^(1/2))/(x^7*(x^6 + 1)), x)","F"
1868,0,-1,128,0.000000,"\text{Not used}","int((a*x - (b + a^2*x^2)^(1/2))^(1/2)/((b + a^2*x^2)^(1/2) + a^2*x^2),x)","\int \frac{\sqrt{a\,x-\sqrt{a^2\,x^2+b}}}{\sqrt{a^2\,x^2+b}+a^2\,x^2} \,d x","Not used",1,"int((a*x - (b + a^2*x^2)^(1/2))^(1/2)/((b + a^2*x^2)^(1/2) + a^2*x^2), x)","F"
1869,0,-1,128,0.000000,"\text{Not used}","int((d + c*x)/(a*x + (b^2 + a^2*x^2)^(1/2))^(1/2),x)","\int \frac{d+c\,x}{\sqrt{a\,x+\sqrt{a^2\,x^2+b^2}}} \,d x","Not used",1,"int((d + c*x)/(a*x + (b^2 + a^2*x^2)^(1/2))^(1/2), x)","F"
1870,0,-1,128,0.000000,"\text{Not used}","int(1/(((x + 1)^(1/2) + 1)^(1/2) + 1)^(1/2),x)","\int \frac{1}{\sqrt{\sqrt{\sqrt{x+1}+1}+1}} \,d x","Not used",1,"int(1/(((x + 1)^(1/2) + 1)^(1/2) + 1)^(1/2), x)","F"
1871,0,-1,129,0.000000,"\text{Not used}","int(-((b - a*x^2)*(x + x^3)^(1/3))/x^2,x)","-\int \frac{\left(b-a\,x^2\right)\,{\left(x^3+x\right)}^{1/3}}{x^2} \,d x","Not used",1,"-int(((b - a*x^2)*(x + x^3)^(1/3))/x^2, x)","F"
1872,0,-1,129,0.000000,"\text{Not used}","int(1/(x^3*(d + c*x^3)*(a*x^3 - b*x^2)^(1/3)),x)","\int \frac{1}{x^3\,\left(c\,x^3+d\right)\,{\left(a\,x^3-b\,x^2\right)}^{1/3}} \,d x","Not used",1,"int(1/(x^3*(d + c*x^3)*(a*x^3 - b*x^2)^(1/3)), x)","F"
1873,1,682,129,0.049785,"\text{Not used}","int((x^4 - 1)/((x^4 + 1)*(x^3 - x^2 - x)^(1/2)),x)","\frac{2\,\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)\,\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\,\sqrt{\frac{x+\frac{\sqrt{5}}{2}-\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}}\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\right)\middle|-\frac{\frac{\sqrt{5}}{2}+\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}\right)\,\sqrt{\frac{\frac{\sqrt{5}}{2}-x+\frac{1}{2}}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}}{\sqrt{x^3-x^2-\left(\frac{\sqrt{5}}{2}-\frac{1}{2}\right)\,\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)\,x}}-\frac{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)\,\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\,\sqrt{\frac{x+\frac{\sqrt{5}}{2}-\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}}\,\sqrt{\frac{\frac{\sqrt{5}}{2}-x+\frac{1}{2}}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\,\Pi \left(\sqrt{2}\,\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)\,\left(-\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right);\mathrm{asin}\left(\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\right)\middle|-\frac{\frac{\sqrt{5}}{2}+\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}\right)}{\sqrt{x^3-x^2-\left(\frac{\sqrt{5}}{2}-\frac{1}{2}\right)\,\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)\,x}}-\frac{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)\,\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\,\sqrt{\frac{x+\frac{\sqrt{5}}{2}-\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}}\,\sqrt{\frac{\frac{\sqrt{5}}{2}-x+\frac{1}{2}}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\,\Pi \left(\sqrt{2}\,\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right);\mathrm{asin}\left(\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\right)\middle|-\frac{\frac{\sqrt{5}}{2}+\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}\right)}{\sqrt{x^3-x^2-\left(\frac{\sqrt{5}}{2}-\frac{1}{2}\right)\,\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)\,x}}-\frac{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)\,\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\,\sqrt{\frac{x+\frac{\sqrt{5}}{2}-\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}}\,\sqrt{\frac{\frac{\sqrt{5}}{2}-x+\frac{1}{2}}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\,\Pi \left(\sqrt{2}\,\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right);\mathrm{asin}\left(\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\right)\middle|-\frac{\frac{\sqrt{5}}{2}+\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}\right)}{\sqrt{x^3-x^2-\left(\frac{\sqrt{5}}{2}-\frac{1}{2}\right)\,\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)\,x}}-\frac{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)\,\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\,\sqrt{\frac{x+\frac{\sqrt{5}}{2}-\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}}\,\sqrt{\frac{\frac{\sqrt{5}}{2}-x+\frac{1}{2}}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\,\Pi \left(\sqrt{2}\,\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)\,\left(-\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right);\mathrm{asin}\left(\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\right)\middle|-\frac{\frac{\sqrt{5}}{2}+\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}\right)}{\sqrt{x^3-x^2-\left(\frac{\sqrt{5}}{2}-\frac{1}{2}\right)\,\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)\,x}}","Not used",1,"(2*(5^(1/2)/2 + 1/2)*(x/(5^(1/2)/2 + 1/2))^(1/2)*((x + 5^(1/2)/2 - 1/2)/(5^(1/2)/2 - 1/2))^(1/2)*ellipticF(asin((x/(5^(1/2)/2 + 1/2))^(1/2)), -(5^(1/2)/2 + 1/2)/(5^(1/2)/2 - 1/2))*((5^(1/2)/2 - x + 1/2)/(5^(1/2)/2 + 1/2))^(1/2))/(x^3 - x^2 - x*(5^(1/2)/2 - 1/2)*(5^(1/2)/2 + 1/2))^(1/2) - ((5^(1/2)/2 + 1/2)*(x/(5^(1/2)/2 + 1/2))^(1/2)*((x + 5^(1/2)/2 - 1/2)/(5^(1/2)/2 - 1/2))^(1/2)*((5^(1/2)/2 - x + 1/2)/(5^(1/2)/2 + 1/2))^(1/2)*ellipticPi(2^(1/2)*(5^(1/2)/2 + 1/2)*(- 1/2 + 1i/2), asin((x/(5^(1/2)/2 + 1/2))^(1/2)), -(5^(1/2)/2 + 1/2)/(5^(1/2)/2 - 1/2)))/(x^3 - x^2 - x*(5^(1/2)/2 - 1/2)*(5^(1/2)/2 + 1/2))^(1/2) - ((5^(1/2)/2 + 1/2)*(x/(5^(1/2)/2 + 1/2))^(1/2)*((x + 5^(1/2)/2 - 1/2)/(5^(1/2)/2 - 1/2))^(1/2)*((5^(1/2)/2 - x + 1/2)/(5^(1/2)/2 + 1/2))^(1/2)*ellipticPi(2^(1/2)*(5^(1/2)/2 + 1/2)*(1/2 - 1i/2), asin((x/(5^(1/2)/2 + 1/2))^(1/2)), -(5^(1/2)/2 + 1/2)/(5^(1/2)/2 - 1/2)))/(x^3 - x^2 - x*(5^(1/2)/2 - 1/2)*(5^(1/2)/2 + 1/2))^(1/2) - ((5^(1/2)/2 + 1/2)*(x/(5^(1/2)/2 + 1/2))^(1/2)*((x + 5^(1/2)/2 - 1/2)/(5^(1/2)/2 - 1/2))^(1/2)*((5^(1/2)/2 - x + 1/2)/(5^(1/2)/2 + 1/2))^(1/2)*ellipticPi(2^(1/2)*(5^(1/2)/2 + 1/2)*(1/2 + 1i/2), asin((x/(5^(1/2)/2 + 1/2))^(1/2)), -(5^(1/2)/2 + 1/2)/(5^(1/2)/2 - 1/2)))/(x^3 - x^2 - x*(5^(1/2)/2 - 1/2)*(5^(1/2)/2 + 1/2))^(1/2) - ((5^(1/2)/2 + 1/2)*(x/(5^(1/2)/2 + 1/2))^(1/2)*((x + 5^(1/2)/2 - 1/2)/(5^(1/2)/2 - 1/2))^(1/2)*((5^(1/2)/2 - x + 1/2)/(5^(1/2)/2 + 1/2))^(1/2)*ellipticPi(2^(1/2)*(5^(1/2)/2 + 1/2)*(- 1/2 - 1i/2), asin((x/(5^(1/2)/2 + 1/2))^(1/2)), -(5^(1/2)/2 + 1/2)/(5^(1/2)/2 - 1/2)))/(x^3 - x^2 - x*(5^(1/2)/2 - 1/2)*(5^(1/2)/2 + 1/2))^(1/2)","B"
1874,0,-1,129,0.000000,"\text{Not used}","int((16*x^4 - 36*x^2 - 27*x^3 - 11*x + 9*x^5 + x^6 - 1)^(1/2),x)","\int \sqrt{x^6+9\,x^5+16\,x^4-27\,x^3-36\,x^2-11\,x-1} \,d x","Not used",1,"int((16*x^4 - 36*x^2 - 27*x^3 - 11*x + 9*x^5 + x^6 - 1)^(1/2), x)","F"
1875,0,-1,129,0.000000,"\text{Not used}","int(-((q - 2*p*x^3)*(a*q + b*x + a*p*x^3)*(p^2*x^6 + q^2 - 2*p*q*x^2 + 2*p*q*x^3)^(1/2))/x^4,x)","-\int \frac{\left(q-2\,p\,x^3\right)\,\left(a\,p\,x^3+b\,x+a\,q\right)\,\sqrt{p^2\,x^6+2\,p\,q\,x^3-2\,p\,q\,x^2+q^2}}{x^4} \,d x","Not used",1,"-int(((q - 2*p*x^3)*(a*q + b*x + a*p*x^3)*(p^2*x^6 + q^2 - 2*p*q*x^2 + 2*p*q*x^3)^(1/2))/x^4, x)","F"
1876,0,-1,129,0.000000,"\text{Not used}","int((x^4 - 2*x^8 + 2)/((x^4 - 1)^(1/4)*(x^4 - x^8 + 2)),x)","\int \frac{-2\,x^8+x^4+2}{{\left(x^4-1\right)}^{1/4}\,\left(-x^8+x^4+2\right)} \,d x","Not used",1,"int((x^4 - 2*x^8 + 2)/((x^4 - 1)^(1/4)*(x^4 - x^8 + 2)), x)","F"
1877,0,-1,129,0.000000,"\text{Not used}","int(((x^4 - 1)*((x + 1)^(1/2) + 1)^(1/2))/(x^4 + 1),x)","\int \frac{\left(x^4-1\right)\,\sqrt{\sqrt{x+1}+1}}{x^4+1} \,d x","Not used",1,"int(((x^4 - 1)*((x + 1)^(1/2) + 1)^(1/2))/(x^4 + 1), x)","F"
1878,0,-1,129,0.000000,"\text{Not used}","int(((x^4 - 1)*((x + 1)^(1/2) + 1)^(1/2))/(x^4 + 1),x)","\int \frac{\left(x^4-1\right)\,\sqrt{\sqrt{x+1}+1}}{x^4+1} \,d x","Not used",1,"int(((x^4 - 1)*((x + 1)^(1/2) + 1)^(1/2))/(x^4 + 1), x)","F"
1879,-1,-1,130,0.000000,"\text{Not used}","int(-((b*x + a*x^3)^(1/2)*(b + a*x^2))/(x^2*(b - a*x^2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
1880,0,-1,130,0.000000,"\text{Not used}","int(-((2*a*b - x*(3*a - b))*(3*a*x^2 - 3*a^2*x + a^3 - x^3))/(x*(b - x)*(x^2*(a - x)*(b - x))^(1/4)*(x^2*(3*a - b*d) - 3*a^2*x + a^3 + x^3*(d - 1))),x)","-\int \frac{\left(2\,a\,b-x\,\left(3\,a-b\right)\right)\,\left(a^3-3\,a^2\,x+3\,a\,x^2-x^3\right)}{x\,\left(b-x\right)\,{\left(x^2\,\left(a-x\right)\,\left(b-x\right)\right)}^{1/4}\,\left(x^2\,\left(3\,a-b\,d\right)-3\,a^2\,x+a^3+x^3\,\left(d-1\right)\right)} \,d x","Not used",1,"-int(((2*a*b - x*(3*a - b))*(3*a*x^2 - 3*a^2*x + a^3 - x^3))/(x*(b - x)*(x^2*(a - x)*(b - x))^(1/4)*(x^2*(3*a - b*d) - 3*a^2*x + a^3 + x^3*(d - 1))), x)","F"
1881,0,-1,130,0.000000,"\text{Not used}","int((2*b + a*x^2)/((b + a*x^2)^(1/4)*(1881*b + 1881*a*x^2 + 2*x^4)),x)","\int \frac{a\,x^2+2\,b}{{\left(a\,x^2+b\right)}^{1/4}\,\left(2\,x^4+1881\,a\,x^2+1881\,b\right)} \,d x","Not used",1,"int((2*b + a*x^2)/((b + a*x^2)^(1/4)*(1881*b + 1881*a*x^2 + 2*x^4)), x)","F"
1882,0,-1,130,0.000000,"\text{Not used}","int(((x^2 - 1)*(x + 1)^(1/2))/((x^2 + 1)*((x + 1)^(1/2) + 1)^(1/2)),x)","\int \frac{\left(x^2-1\right)\,\sqrt{x+1}}{\left(x^2+1\right)\,\sqrt{\sqrt{x+1}+1}} \,d x","Not used",1,"int(((x^2 - 1)*(x + 1)^(1/2))/((x^2 + 1)*((x + 1)^(1/2) + 1)^(1/2)), x)","F"
1883,0,-1,130,0.000000,"\text{Not used}","int(((x^2 - 1)*(x + 1)^(1/2))/((x^2 + 1)*((x + 1)^(1/2) + 1)^(1/2)),x)","\int \frac{\left(x^2-1\right)\,\sqrt{x+1}}{\left(x^2+1\right)\,\sqrt{\sqrt{x+1}+1}} \,d x","Not used",1,"int(((x^2 - 1)*(x + 1)^(1/2))/((x^2 + 1)*((x + 1)^(1/2) + 1)^(1/2)), x)","F"
1884,0,-1,130,0.000000,"\text{Not used}","int(((x^4 - 1)*((x + 1)^(1/2) + 1)^(1/2))/((x^4 + 1)*(x + 1)^(1/2)),x)","\int \frac{\left(x^4-1\right)\,\sqrt{\sqrt{x+1}+1}}{\left(x^4+1\right)\,\sqrt{x+1}} \,d x","Not used",1,"int(((x^4 - 1)*((x + 1)^(1/2) + 1)^(1/2))/((x^4 + 1)*(x + 1)^(1/2)), x)","F"
1885,0,-1,130,0.000000,"\text{Not used}","int(((x^4 - 1)*((x + 1)^(1/2) + 1)^(1/2))/((x^4 + 1)*(x + 1)^(1/2)),x)","\int \frac{\left(x^4-1\right)\,\sqrt{\sqrt{x+1}+1}}{\left(x^4+1\right)\,\sqrt{x+1}} \,d x","Not used",1,"int(((x^4 - 1)*((x + 1)^(1/2) + 1)^(1/2))/((x^4 + 1)*(x + 1)^(1/2)), x)","F"
1886,0,-1,130,0.000000,"\text{Not used}","int((a*x^2 + 1)/((x + (x^2 + 1)^(1/2))^(1/2)*(a*x^2 - 1)),x)","\int \frac{a\,x^2+1}{\sqrt{x+\sqrt{x^2+1}}\,\left(a\,x^2-1\right)} \,d x","Not used",1,"int((a*x^2 + 1)/((x + (x^2 + 1)^(1/2))^(1/2)*(a*x^2 - 1)), x)","F"
1887,0,-1,130,0.000000,"\text{Not used}","int((x*(x + x^2)^(1/2))/(x^2 + x*(x + x^2)^(1/2))^(1/2),x)","\int \frac{x\,\sqrt{x^2+x}}{\sqrt{x^2+x\,\sqrt{x^2+x}}} \,d x","Not used",1,"int((x*(x + x^2)^(1/2))/(x^2 + x*(x + x^2)^(1/2))^(1/2), x)","F"
1888,0,-1,130,0.000000,"\text{Not used}","int((x + 1)^(1/2)/((x + (x + 1)^(1/2))^(1/2) + 1),x)","\int \frac{\sqrt{x+1}}{\sqrt{x+\sqrt{x+1}}+1} \,d x","Not used",1,"int((x + 1)^(1/2)/((x + (x + 1)^(1/2))^(1/2) + 1), x)","F"
1889,0,-1,131,0.000000,"\text{Not used}","int((x + 1)/((2*x + 1)*(3*x^2 - 1)^(1/3)*(x - 1)),x)","\int \frac{x+1}{\left(2\,x+1\right)\,{\left(3\,x^2-1\right)}^{1/3}\,\left(x-1\right)} \,d x","Not used",1,"int((x + 1)/((2*x + 1)*(3*x^2 - 1)^(1/3)*(x - 1)), x)","F"
1890,1,46,131,1.250226,"\text{Not used}","int(-(b - a*x^2)/(x^2*(x^3 - x)^(1/3)),x)","\frac{3\,a\,x\,{\left(1-x^2\right)}^{1/3}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{3},\frac{1}{3};\ \frac{4}{3};\ x^2\right)}{2\,{\left(x^3-x\right)}^{1/3}}-\frac{3\,b\,{\left(x^3-x\right)}^{2/3}}{4\,x^2}","Not used",1,"(3*a*x*(1 - x^2)^(1/3)*hypergeom([1/3, 1/3], 4/3, x^2))/(2*(x^3 - x)^(1/3)) - (3*b*(x^3 - x)^(2/3))/(4*x^2)","B"
1891,1,658,131,0.853171,"\text{Not used}","int((x^4 + 1)/((x^4 - 1)*(x^3 - x^2 - x)^(1/2)),x)","\frac{2\,\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)\,\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\,\sqrt{\frac{x+\frac{\sqrt{5}}{2}-\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}}\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\right)\middle|-\frac{\frac{\sqrt{5}}{2}+\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}\right)\,\sqrt{\frac{\frac{\sqrt{5}}{2}-x+\frac{1}{2}}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}}{\sqrt{x^3-x^2-\left(\frac{\sqrt{5}}{2}-\frac{1}{2}\right)\,\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)\,x}}-\frac{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)\,\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\,\sqrt{\frac{x+\frac{\sqrt{5}}{2}-\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}}\,\sqrt{\frac{\frac{\sqrt{5}}{2}-x+\frac{1}{2}}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\,\Pi \left(-\frac{\sqrt{5}}{2}-\frac{1}{2};\mathrm{asin}\left(\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\right)\middle|-\frac{\frac{\sqrt{5}}{2}+\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}\right)}{\sqrt{x^3-x^2-\left(\frac{\sqrt{5}}{2}-\frac{1}{2}\right)\,\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)\,x}}-\frac{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)\,\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\,\sqrt{\frac{x+\frac{\sqrt{5}}{2}-\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}}\,\sqrt{\frac{\frac{\sqrt{5}}{2}-x+\frac{1}{2}}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\,\Pi \left(\frac{\sqrt{5}}{2}+\frac{1}{2};\mathrm{asin}\left(\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\right)\middle|-\frac{\frac{\sqrt{5}}{2}+\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}\right)}{\sqrt{x^3-x^2-\left(\frac{\sqrt{5}}{2}-\frac{1}{2}\right)\,\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)\,x}}-\frac{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)\,\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\,\sqrt{\frac{x+\frac{\sqrt{5}}{2}-\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}}\,\sqrt{\frac{\frac{\sqrt{5}}{2}-x+\frac{1}{2}}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\,\Pi \left(-\frac{\sqrt{5}\,1{}\mathrm{i}}{2}-\frac{1}{2}{}\mathrm{i};\mathrm{asin}\left(\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\right)\middle|-\frac{\frac{\sqrt{5}}{2}+\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}\right)}{\sqrt{x^3-x^2-\left(\frac{\sqrt{5}}{2}-\frac{1}{2}\right)\,\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)\,x}}-\frac{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)\,\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\,\sqrt{\frac{x+\frac{\sqrt{5}}{2}-\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}}\,\sqrt{\frac{\frac{\sqrt{5}}{2}-x+\frac{1}{2}}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\,\Pi \left(\frac{\sqrt{5}\,1{}\mathrm{i}}{2}+\frac{1}{2}{}\mathrm{i};\mathrm{asin}\left(\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\right)\middle|-\frac{\frac{\sqrt{5}}{2}+\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}\right)}{\sqrt{x^3-x^2-\left(\frac{\sqrt{5}}{2}-\frac{1}{2}\right)\,\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)\,x}}","Not used",1,"(2*(5^(1/2)/2 + 1/2)*(x/(5^(1/2)/2 + 1/2))^(1/2)*((x + 5^(1/2)/2 - 1/2)/(5^(1/2)/2 - 1/2))^(1/2)*ellipticF(asin((x/(5^(1/2)/2 + 1/2))^(1/2)), -(5^(1/2)/2 + 1/2)/(5^(1/2)/2 - 1/2))*((5^(1/2)/2 - x + 1/2)/(5^(1/2)/2 + 1/2))^(1/2))/(x^3 - x^2 - x*(5^(1/2)/2 - 1/2)*(5^(1/2)/2 + 1/2))^(1/2) - ((5^(1/2)/2 + 1/2)*(x/(5^(1/2)/2 + 1/2))^(1/2)*((x + 5^(1/2)/2 - 1/2)/(5^(1/2)/2 - 1/2))^(1/2)*((5^(1/2)/2 - x + 1/2)/(5^(1/2)/2 + 1/2))^(1/2)*ellipticPi(- 5^(1/2)/2 - 1/2, asin((x/(5^(1/2)/2 + 1/2))^(1/2)), -(5^(1/2)/2 + 1/2)/(5^(1/2)/2 - 1/2)))/(x^3 - x^2 - x*(5^(1/2)/2 - 1/2)*(5^(1/2)/2 + 1/2))^(1/2) - ((5^(1/2)/2 + 1/2)*(x/(5^(1/2)/2 + 1/2))^(1/2)*((x + 5^(1/2)/2 - 1/2)/(5^(1/2)/2 - 1/2))^(1/2)*((5^(1/2)/2 - x + 1/2)/(5^(1/2)/2 + 1/2))^(1/2)*ellipticPi(5^(1/2)/2 + 1/2, asin((x/(5^(1/2)/2 + 1/2))^(1/2)), -(5^(1/2)/2 + 1/2)/(5^(1/2)/2 - 1/2)))/(x^3 - x^2 - x*(5^(1/2)/2 - 1/2)*(5^(1/2)/2 + 1/2))^(1/2) - ((5^(1/2)/2 + 1/2)*(x/(5^(1/2)/2 + 1/2))^(1/2)*((x + 5^(1/2)/2 - 1/2)/(5^(1/2)/2 - 1/2))^(1/2)*((5^(1/2)/2 - x + 1/2)/(5^(1/2)/2 + 1/2))^(1/2)*ellipticPi(- (5^(1/2)*1i)/2 - 1i/2, asin((x/(5^(1/2)/2 + 1/2))^(1/2)), -(5^(1/2)/2 + 1/2)/(5^(1/2)/2 - 1/2)))/(x^3 - x^2 - x*(5^(1/2)/2 - 1/2)*(5^(1/2)/2 + 1/2))^(1/2) - ((5^(1/2)/2 + 1/2)*(x/(5^(1/2)/2 + 1/2))^(1/2)*((x + 5^(1/2)/2 - 1/2)/(5^(1/2)/2 - 1/2))^(1/2)*((5^(1/2)/2 - x + 1/2)/(5^(1/2)/2 + 1/2))^(1/2)*ellipticPi((5^(1/2)*1i)/2 + 1i/2, asin((x/(5^(1/2)/2 + 1/2))^(1/2)), -(5^(1/2)/2 + 1/2)/(5^(1/2)/2 - 1/2)))/(x^3 - x^2 - x*(5^(1/2)/2 - 1/2)*(5^(1/2)/2 + 1/2))^(1/2)","B"
1892,0,-1,131,0.000000,"\text{Not used}","int(((x^3 - 1)*(x^6 + 1)^(1/3))/(x^2*(x^3 + 1)),x)","\int \frac{\left(x^3-1\right)\,{\left(x^6+1\right)}^{1/3}}{x^2\,\left(x^3+1\right)} \,d x","Not used",1,"int(((x^3 - 1)*(x^6 + 1)^(1/3))/(x^2*(x^3 + 1)), x)","F"
1893,0,-1,131,0.000000,"\text{Not used}","int(((x^6 - 2)*(x^6 + 2)^(1/3))/(x^2*(2*x^3 + x^6 + 2)),x)","\int \frac{\left(x^6-2\right)\,{\left(x^6+2\right)}^{1/3}}{x^2\,\left(x^6+2\,x^3+2\right)} \,d x","Not used",1,"int(((x^6 - 2)*(x^6 + 2)^(1/3))/(x^2*(2*x^3 + x^6 + 2)), x)","F"
1894,0,-1,131,0.000000,"\text{Not used}","int(-((x^3 + 1)^(2/3)*(2*x^3 - 2*x^6 + 1))/(x^6*(x^3 + 2*x^6 - 1)),x)","\int -\frac{{\left(x^3+1\right)}^{2/3}\,\left(-2\,x^6+2\,x^3+1\right)}{x^6\,\left(2\,x^6+x^3-1\right)} \,d x","Not used",1,"int(-((x^3 + 1)^(2/3)*(2*x^3 - 2*x^6 + 1))/(x^6*(x^3 + 2*x^6 - 1)), x)","F"
1895,0,-1,131,0.000000,"\text{Not used}","int(((x - x^4)^(1/2)*(x^3 + 1))/(4*x^3 + 3*x^6 + 2),x)","\int \frac{\sqrt{x-x^4}\,\left(x^3+1\right)}{3\,x^6+4\,x^3+2} \,d x","Not used",1,"int(((x - x^4)^(1/2)*(x^3 + 1))/(4*x^3 + 3*x^6 + 2), x)","F"
1896,0,-1,131,0.000000,"\text{Not used}","int((a*x^4 - 2)/((b + a*x^4)^(1/4)*(a*x^4 - b + 2*x^8)),x)","\int \frac{a\,x^4-2}{{\left(a\,x^4+b\right)}^{1/4}\,\left(2\,x^8+a\,x^4-b\right)} \,d x","Not used",1,"int((a*x^4 - 2)/((b + a*x^4)^(1/4)*(a*x^4 - b + 2*x^8)), x)","F"
1897,0,-1,131,0.000000,"\text{Not used}","int((x - 1)/((x + (x^2 + 1)^(1/2))^(1/2)*(x + 1)),x)","\int \frac{x-1}{\sqrt{x+\sqrt{x^2+1}}\,\left(x+1\right)} \,d x","Not used",1,"int((x - 1)/((x + (x^2 + 1)^(1/2))^(1/2)*(x + 1)), x)","F"
1898,0,-1,131,0.000000,"\text{Not used}","int((x + 1)/((x + (x^2 + 1)^(1/2))^(1/2)*(x - 1)),x)","\int \frac{x+1}{\sqrt{x+\sqrt{x^2+1}}\,\left(x-1\right)} \,d x","Not used",1,"int((x + 1)/((x + (x^2 + 1)^(1/2))^(1/2)*(x - 1)), x)","F"
1899,0,-1,131,0.000000,"\text{Not used}","int((x^2 - x)^(1/2)/(x^2 - x*(x^2 - x)^(1/2))^(1/2),x)","\int \frac{\sqrt{x^2-x}}{\sqrt{x^2-x\,\sqrt{x^2-x}}} \,d x","Not used",1,"int((x^2 - x)^(1/2)/(x^2 - x*(x^2 - x)^(1/2))^(1/2), x)","F"
1900,0,-1,132,0.000000,"\text{Not used}","int((2*x + x^2 + 6)/((x^2 + 2)*(x + 2)*(x + x^2 + 2)^(1/3)),x)","\int \frac{x^2+2\,x+6}{\left(x^2+2\right)\,\left(x+2\right)\,{\left(x^2+x+2\right)}^{1/3}} \,d x","Not used",1,"int((2*x + x^2 + 6)/((x^2 + 2)*(x + 2)*(x + x^2 + 2)^(1/3)), x)","F"
1901,0,-1,132,0.000000,"\text{Not used}","int((x - 1)/(x*(2*x + 2*x^2 + x^3 + 1)^(1/3)),x)","\int \frac{x-1}{x\,{\left(x^3+2\,x^2+2\,x+1\right)}^{1/3}} \,d x","Not used",1,"int((x - 1)/(x*(2*x + 2*x^2 + x^3 + 1)^(1/3)), x)","F"
1902,0,-1,132,0.000000,"\text{Not used}","int(-((2*q - p*x^3)*(a*q + b*x^2 + a*p*x^3)*(p^2*x^6 + q^2 + 2*p*q*x^3 - 2*p*q*x^4)^(1/2))/x^7,x)","\int -\frac{\left(2\,q-p\,x^3\right)\,\left(a\,p\,x^3+b\,x^2+a\,q\right)\,\sqrt{p^2\,x^6-2\,p\,q\,x^4+2\,p\,q\,x^3+q^2}}{x^7} \,d x","Not used",1,"int(-((2*q - p*x^3)*(a*q + b*x^2 + a*p*x^3)*(p^2*x^6 + q^2 + 2*p*q*x^3 - 2*p*q*x^4)^(1/2))/x^7, x)","F"
1903,0,-1,132,0.000000,"\text{Not used}","int(x^2/((x^2 + 1)*(47250*x^2 - 5265*x - 225810*x^3 + 615255*x^4 - 954733*x^5 + 820340*x^6 - 401440*x^7 + 112000*x^8 - 16640*x^9 + 1024*x^10 + 243)^(1/10)),x)","\int \frac{x^2}{\left(x^2+1\right)\,{\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)}^{1/10}} \,d x","Not used",1,"int(x^2/((x^2 + 1)*(47250*x^2 - 5265*x - 225810*x^3 + 615255*x^4 - 954733*x^5 + 820340*x^6 - 401440*x^7 + 112000*x^8 - 16640*x^9 + 1024*x^10 + 243)^(1/10)), x)","F"
1904,0,-1,132,0.000000,"\text{Not used}","int(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)","\int \frac{1}{x\,\sqrt{a^2\,x^2-b\,x}\,{\left(a\,x^2+x\,\sqrt{a^2\,x^2-b\,x}\right)}^{3/2}} \,d x","Not used",1,"int(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)","F"
1905,0,-1,132,0.000000,"\text{Not used}","int(((x^4 + 1)^(1/2) + x^2)^(1/2)/((x^2 - 1)*(x^4 + 1)^(1/2)),x)","\int \frac{\sqrt{\sqrt{x^4+1}+x^2}}{\left(x^2-1\right)\,\sqrt{x^4+1}} \,d x","Not used",1,"int(((x^4 + 1)^(1/2) + x^2)^(1/2)/((x^2 - 1)*(x^4 + 1)^(1/2)), x)","F"
1906,0,-1,133,0.000000,"\text{Not used}","int(1/((2*x + 1)*(4*x + 4*x^2 - 1)^(1/3)),x)","\int \frac{1}{\left(2\,x+1\right)\,{\left(4\,x^2+4\,x-1\right)}^{1/3}} \,d x","Not used",1,"int(1/((2*x + 1)*(4*x + 4*x^2 - 1)^(1/3)), x)","F"
1907,0,-1,133,0.000000,"\text{Not used}","int(-1/(x^3*(a^3*x^3 + b^2*x^2)^(1/3)*(b - a*x^3)),x)","-\int \frac{1}{x^3\,{\left(a^3\,x^3+b^2\,x^2\right)}^{1/3}\,\left(b-a\,x^3\right)} \,d x","Not used",1,"-int(1/(x^3*(a^3*x^3 + b^2*x^2)^(1/3)*(b - a*x^3)), x)","F"
1908,0,-1,133,0.000000,"\text{Not used}","int(-1/(x^3*(a^3*x^3 + b^2*x^2)^(1/3)*(b - a*x^3)),x)","-\int \frac{1}{x^3\,{\left(a^3\,x^3+b^2\,x^2\right)}^{1/3}\,\left(b-a\,x^3\right)} \,d x","Not used",1,"-int(1/(x^3*(a^3*x^3 + b^2*x^2)^(1/3)*(b - a*x^3)), x)","F"
1909,0,-1,133,0.000000,"\text{Not used}","int(-(x^3*(2*a*b - x*(3*a - b))*(b - x))/((a - x)*(x^2*(a - x)*(b - x))^(3/4)*(x^2*(b - 3*a*d) - a^3*d + x^3*(d - 1) + 3*a^2*d*x)),x)","-\int \frac{x^3\,\left(2\,a\,b-x\,\left(3\,a-b\right)\right)\,\left(b-x\right)}{\left(a-x\right)\,{\left(x^2\,\left(a-x\right)\,\left(b-x\right)\right)}^{3/4}\,\left(x^2\,\left(b-3\,a\,d\right)-a^3\,d+x^3\,\left(d-1\right)+3\,a^2\,d\,x\right)} \,d x","Not used",1,"-int((x^3*(2*a*b - x*(3*a - b))*(b - x))/((a - x)*(x^2*(a - x)*(b - x))^(3/4)*(x^2*(b - 3*a*d) - a^3*d + x^3*(d - 1) + 3*a^2*d*x)), x)","F"
1910,1,533,133,0.057100,"\text{Not used}","int(x^2/((x^4 - 1)*(x^3 - x^2 - x)^(1/2)),x)","-\frac{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)\,\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\,\sqrt{\frac{x+\frac{\sqrt{5}}{2}-\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}}\,\sqrt{\frac{\frac{\sqrt{5}}{2}-x+\frac{1}{2}}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\,\Pi \left(-\frac{\sqrt{5}}{2}-\frac{1}{2};\mathrm{asin}\left(\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\right)\middle|-\frac{\frac{\sqrt{5}}{2}+\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}\right)}{2\,\sqrt{x^3-x^2-\left(\frac{\sqrt{5}}{2}-\frac{1}{2}\right)\,\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)\,x}}-\frac{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)\,\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\,\sqrt{\frac{x+\frac{\sqrt{5}}{2}-\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}}\,\sqrt{\frac{\frac{\sqrt{5}}{2}-x+\frac{1}{2}}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\,\Pi \left(\frac{\sqrt{5}}{2}+\frac{1}{2};\mathrm{asin}\left(\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\right)\middle|-\frac{\frac{\sqrt{5}}{2}+\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}\right)}{2\,\sqrt{x^3-x^2-\left(\frac{\sqrt{5}}{2}-\frac{1}{2}\right)\,\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)\,x}}+\frac{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)\,\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\,\sqrt{\frac{x+\frac{\sqrt{5}}{2}-\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}}\,\sqrt{\frac{\frac{\sqrt{5}}{2}-x+\frac{1}{2}}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\,\Pi \left(-\frac{\sqrt{5}\,1{}\mathrm{i}}{2}-\frac{1}{2}{}\mathrm{i};\mathrm{asin}\left(\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\right)\middle|-\frac{\frac{\sqrt{5}}{2}+\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}\right)}{2\,\sqrt{x^3-x^2-\left(\frac{\sqrt{5}}{2}-\frac{1}{2}\right)\,\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)\,x}}+\frac{\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)\,\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\,\sqrt{\frac{x+\frac{\sqrt{5}}{2}-\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}}\,\sqrt{\frac{\frac{\sqrt{5}}{2}-x+\frac{1}{2}}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\,\Pi \left(\frac{\sqrt{5}\,1{}\mathrm{i}}{2}+\frac{1}{2}{}\mathrm{i};\mathrm{asin}\left(\sqrt{\frac{x}{\frac{\sqrt{5}}{2}+\frac{1}{2}}}\right)\middle|-\frac{\frac{\sqrt{5}}{2}+\frac{1}{2}}{\frac{\sqrt{5}}{2}-\frac{1}{2}}\right)}{2\,\sqrt{x^3-x^2-\left(\frac{\sqrt{5}}{2}-\frac{1}{2}\right)\,\left(\frac{\sqrt{5}}{2}+\frac{1}{2}\right)\,x}}","Not used",1,"((5^(1/2)/2 + 1/2)*(x/(5^(1/2)/2 + 1/2))^(1/2)*((x + 5^(1/2)/2 - 1/2)/(5^(1/2)/2 - 1/2))^(1/2)*((5^(1/2)/2 - x + 1/2)/(5^(1/2)/2 + 1/2))^(1/2)*ellipticPi(- (5^(1/2)*1i)/2 - 1i/2, asin((x/(5^(1/2)/2 + 1/2))^(1/2)), -(5^(1/2)/2 + 1/2)/(5^(1/2)/2 - 1/2)))/(2*(x^3 - x^2 - x*(5^(1/2)/2 - 1/2)*(5^(1/2)/2 + 1/2))^(1/2)) - ((5^(1/2)/2 + 1/2)*(x/(5^(1/2)/2 + 1/2))^(1/2)*((x + 5^(1/2)/2 - 1/2)/(5^(1/2)/2 - 1/2))^(1/2)*((5^(1/2)/2 - x + 1/2)/(5^(1/2)/2 + 1/2))^(1/2)*ellipticPi(5^(1/2)/2 + 1/2, asin((x/(5^(1/2)/2 + 1/2))^(1/2)), -(5^(1/2)/2 + 1/2)/(5^(1/2)/2 - 1/2)))/(2*(x^3 - x^2 - x*(5^(1/2)/2 - 1/2)*(5^(1/2)/2 + 1/2))^(1/2)) - ((5^(1/2)/2 + 1/2)*(x/(5^(1/2)/2 + 1/2))^(1/2)*((x + 5^(1/2)/2 - 1/2)/(5^(1/2)/2 - 1/2))^(1/2)*((5^(1/2)/2 - x + 1/2)/(5^(1/2)/2 + 1/2))^(1/2)*ellipticPi(- 5^(1/2)/2 - 1/2, asin((x/(5^(1/2)/2 + 1/2))^(1/2)), -(5^(1/2)/2 + 1/2)/(5^(1/2)/2 - 1/2)))/(2*(x^3 - x^2 - x*(5^(1/2)/2 - 1/2)*(5^(1/2)/2 + 1/2))^(1/2)) + ((5^(1/2)/2 + 1/2)*(x/(5^(1/2)/2 + 1/2))^(1/2)*((x + 5^(1/2)/2 - 1/2)/(5^(1/2)/2 - 1/2))^(1/2)*((5^(1/2)/2 - x + 1/2)/(5^(1/2)/2 + 1/2))^(1/2)*ellipticPi((5^(1/2)*1i)/2 + 1i/2, asin((x/(5^(1/2)/2 + 1/2))^(1/2)), -(5^(1/2)/2 + 1/2)/(5^(1/2)/2 - 1/2)))/(2*(x^3 - x^2 - x*(5^(1/2)/2 - 1/2)*(5^(1/2)/2 + 1/2))^(1/2))","B"
1911,0,-1,133,0.000000,"\text{Not used}","int(((x^2 - 1)*(x^2 + x^4 + 1)^(1/2))/((x^2 + 1)*(x + x^2 + x^3 + x^4 + 1)),x)","\int \frac{\left(x^2-1\right)\,\sqrt{x^4+x^2+1}}{\left(x^2+1\right)\,\left(x^4+x^3+x^2+x+1\right)} \,d x","Not used",1,"int(((x^2 - 1)*(x^2 + x^4 + 1)^(1/2))/((x^2 + 1)*(x + x^2 + x^3 + x^4 + 1)), x)","F"
1912,0,-1,133,0.000000,"\text{Not used}","int(-x^6/((b + a*x^4)^(3/4)*(b - a*x^4)),x)","-\int \frac{x^6}{{\left(a\,x^4+b\right)}^{3/4}\,\left(b-a\,x^4\right)} \,d x","Not used",1,"-int(x^6/((b + a*x^4)^(3/4)*(b - a*x^4)), x)","F"
1913,0,-1,133,0.000000,"\text{Not used}","int(-(b - a*x^3)/(x^3*(a*x^4 - b*x)^(1/4)*(b + a*x^3)),x)","\int -\frac{b-a\,x^3}{x^3\,{\left(a\,x^4-b\,x\right)}^{1/4}\,\left(a\,x^3+b\right)} \,d x","Not used",1,"int(-(b - a*x^3)/(x^3*(a*x^4 - b*x)^(1/4)*(b + a*x^3)), x)","F"
1914,0,-1,133,0.000000,"\text{Not used}","int((b - a*x^4)/((b + a*x^4)^(1/4)*(b - 3*a*x^4)),x)","\int \frac{b-a\,x^4}{{\left(a\,x^4+b\right)}^{1/4}\,\left(b-3\,a\,x^4\right)} \,d x","Not used",1,"int((b - a*x^4)/((b + a*x^4)^(1/4)*(b - 3*a*x^4)), x)","F"
1915,0,-1,133,0.000000,"\text{Not used}","int(-(2*b - a*x^2)/((a*x^2 - b)^(1/4)*(a*x^2 - b + c*x^4)),x)","\int -\frac{2\,b-a\,x^2}{{\left(a\,x^2-b\right)}^{1/4}\,\left(c\,x^4+a\,x^2-b\right)} \,d x","Not used",1,"int(-(2*b - a*x^2)/((a*x^2 - b)^(1/4)*(a*x^2 - b + c*x^4)), x)","F"
1916,0,-1,133,0.000000,"\text{Not used}","int(-((p^2*x^4 + q^2)^(1/2)*(q - p*x^2))/(x^2*(a*q + b*x + a*p*x^2)),x)","\int -\frac{\sqrt{p^2\,x^4+q^2}\,\left(q-p\,x^2\right)}{x^2\,\left(a\,p\,x^2+b\,x+a\,q\right)} \,d x","Not used",1,"int(-((p^2*x^4 + q^2)^(1/2)*(q - p*x^2))/(x^2*(a*q + b*x + a*p*x^2)), x)","F"
1917,0,-1,133,0.000000,"\text{Not used}","int(((x^5 + 1)^(1/3)*(2*x^5 - 3))/(x^2*(2*x^5 - x^3 + 2)),x)","\int \frac{{\left(x^5+1\right)}^{1/3}\,\left(2\,x^5-3\right)}{x^2\,\left(2\,x^5-x^3+2\right)} \,d x","Not used",1,"int(((x^5 + 1)^(1/3)*(2*x^5 - 3))/(x^2*(2*x^5 - x^3 + 2)), x)","F"
1918,0,-1,133,0.000000,"\text{Not used}","int((x^2*(4*b + a*x^5))/((a*x^5 - b)^(3/4)*(a*x^5 - b + c*x^4)),x)","\int \frac{x^2\,\left(a\,x^5+4\,b\right)}{{\left(a\,x^5-b\right)}^{3/4}\,\left(a\,x^5+c\,x^4-b\right)} \,d x","Not used",1,"int((x^2*(4*b + a*x^5))/((a*x^5 - b)^(3/4)*(a*x^5 - b + c*x^4)), x)","F"
1919,0,-1,133,0.000000,"\text{Not used}","int(((x^6 - 1)*(x^6 + 1)^(2/3))/(x^3*(2*x^6 - x^3 + 2)),x)","\int \frac{\left(x^6-1\right)\,{\left(x^6+1\right)}^{2/3}}{x^3\,\left(2\,x^6-x^3+2\right)} \,d x","Not used",1,"int(((x^6 - 1)*(x^6 + 1)^(2/3))/(x^3*(2*x^6 - x^3 + 2)), x)","F"
1920,0,-1,133,0.000000,"\text{Not used}","int((x^2*(2*b + a*x^6))/((a*x^6 - b)^(3/4)*(a*x^6 - b + c*x^4)),x)","\int \frac{x^2\,\left(a\,x^6+2\,b\right)}{{\left(a\,x^6-b\right)}^{3/4}\,\left(a\,x^6+c\,x^4-b\right)} \,d x","Not used",1,"int((x^2*(2*b + a*x^6))/((a*x^6 - b)^(3/4)*(a*x^6 - b + c*x^4)), x)","F"
1921,0,-1,133,0.000000,"\text{Not used}","int(x^2*(x^4 + 1)^(1/2)*((x^4 + 1)^(1/2) + x^2)^(1/2),x)","\int x^2\,\sqrt{x^4+1}\,\sqrt{\sqrt{x^4+1}+x^2} \,d x","Not used",1,"int(x^2*(x^4 + 1)^(1/2)*((x^4 + 1)^(1/2) + x^2)^(1/2), x)","F"
1922,0,-1,133,0.000000,"\text{Not used}","int((((x + 1)^(1/2) + 1)^(1/2) + 1)^(1/2),x)","\int \sqrt{\sqrt{\sqrt{x+1}+1}+1} \,d x","Not used",1,"int((((x + 1)^(1/2) + 1)^(1/2) + 1)^(1/2), x)","F"
1923,0,-1,133,0.000000,"\text{Not used}","int(-((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)/((x^2 - 1)*(x + (x^2 + 1)^(1/2))^(1/2)),x)","-\int \frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}}{\left(x^2-1\right)\,\sqrt{x+\sqrt{x^2+1}}} \,d x","Not used",1,"-int(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)/((x^2 - 1)*(x + (x^2 + 1)^(1/2))^(1/2)), x)","F"
1924,0,-1,133,0.000000,"\text{Not used}","int(-((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)/((x^2 - 1)*(x + (x^2 + 1)^(1/2))^(1/2)),x)","-\int \frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}}{\left(x^2-1\right)\,\sqrt{x+\sqrt{x^2+1}}} \,d x","Not used",1,"-int(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)/((x^2 - 1)*(x + (x^2 + 1)^(1/2))^(1/2)), x)","F"
1925,0,-1,134,0.000000,"\text{Not used}","int(((x^3 + 1)^(2/3)*(x^3 - 2))/(x^6*(2*x^3 - 1)),x)","\int \frac{{\left(x^3+1\right)}^{2/3}\,\left(x^3-2\right)}{x^6\,\left(2\,x^3-1\right)} \,d x","Not used",1,"int(((x^3 + 1)^(2/3)*(x^3 - 2))/(x^6*(2*x^3 - 1)), x)","F"
1926,0,-1,134,0.000000,"\text{Not used}","int(1/(x^3*(a^3*x^3 + b^2*x^2)^(1/3)*(b + a*x^3)),x)","\int \frac{1}{x^3\,{\left(a^3\,x^3+b^2\,x^2\right)}^{1/3}\,\left(a\,x^3+b\right)} \,d x","Not used",1,"int(1/(x^3*(a^3*x^3 + b^2*x^2)^(1/3)*(b + a*x^3)), x)","F"
1927,0,-1,134,0.000000,"\text{Not used}","int(1/(x^3*(a^3*x^3 + b^2*x^2)^(1/3)*(b + a*x^3)),x)","\int \frac{1}{x^3\,{\left(a^3\,x^3+b^2\,x^2\right)}^{1/3}\,\left(a\,x^3+b\right)} \,d x","Not used",1,"int(1/(x^3*(a^3*x^3 + b^2*x^2)^(1/3)*(b + a*x^3)), x)","F"
1928,0,-1,134,0.000000,"\text{Not used}","int(((x^4 - x^3)^(1/4)*(x + x^4 - 1))/(x + 1),x)","\int \frac{{\left(x^4-x^3\right)}^{1/4}\,\left(x^4+x-1\right)}{x+1} \,d x","Not used",1,"int(((x^4 - x^3)^(1/4)*(x + x^4 - 1))/(x + 1), x)","F"
1929,0,-1,134,0.000000,"\text{Not used}","int(((x^4 + 1)^(2/3)*(x^4 - 3))/(x^3*(x^3 + 2*x^4 + 2)),x)","\int \frac{{\left(x^4+1\right)}^{2/3}\,\left(x^4-3\right)}{x^3\,\left(2\,x^4+x^3+2\right)} \,d x","Not used",1,"int(((x^4 + 1)^(2/3)*(x^4 - 3))/(x^3*(x^3 + 2*x^4 + 2)), x)","F"
1930,0,-1,134,0.000000,"\text{Not used}","int(-((b + a*x^4)^(3/4)*(4*b - a*x^4))/(x^8*(4*b + a*x^4)),x)","\int -\frac{{\left(a\,x^4+b\right)}^{3/4}\,\left(4\,b-a\,x^4\right)}{x^8\,\left(a\,x^4+4\,b\right)} \,d x","Not used",1,"int(-((b + a*x^4)^(3/4)*(4*b - a*x^4))/(x^8*(4*b + a*x^4)), x)","F"
1931,0,-1,134,0.000000,"\text{Not used}","int(((b + a*x^4)^(3/4)*(2*b + a*x^4))/(x^8*(4*b + a*x^4)),x)","\int \frac{{\left(a\,x^4+b\right)}^{3/4}\,\left(a\,x^4+2\,b\right)}{x^8\,\left(a\,x^4+4\,b\right)} \,d x","Not used",1,"int(((b + a*x^4)^(3/4)*(2*b + a*x^4))/(x^8*(4*b + a*x^4)), x)","F"
1932,0,-1,134,0.000000,"\text{Not used}","int((x^4*(a*x^4 + b*x^3)^(1/4))/(b + a*x),x)","\int \frac{x^4\,{\left(a\,x^4+b\,x^3\right)}^{1/4}}{b+a\,x} \,d x","Not used",1,"int((x^4*(a*x^4 + b*x^3)^(1/4))/(b + a*x), x)","F"
1933,0,-1,134,0.000000,"\text{Not used}","int(-(b + a*x^2)/((b^2 + a^2*x^4)^(1/2)*(b - a*x^2)),x)","\int -\frac{a\,x^2+b}{\sqrt{a^2\,x^4+b^2}\,\left(b-a\,x^2\right)} \,d x","Not used",1,"int(-(b + a*x^2)/((b^2 + a^2*x^4)^(1/2)*(b - a*x^2)), x)","F"
1934,0,-1,134,0.000000,"\text{Not used}","int(((x^2 + 1)*((x^2 + 1)^(1/2) + 1)^(1/2))/(x^2 - 1),x)","\int \frac{\left(x^2+1\right)\,\sqrt{\sqrt{x^2+1}+1}}{x^2-1} \,d x","Not used",1,"int(((x^2 + 1)*((x^2 + 1)^(1/2) + 1)^(1/2))/(x^2 - 1), x)","F"
1935,1,39,135,0.966590,"\text{Not used}","int(1/(a*x^3 - b)^(1/3),x)","\frac{x\,{\left(1-\frac{a\,x^3}{b}\right)}^{1/3}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{3},\frac{1}{3};\ \frac{4}{3};\ \frac{a\,x^3}{b}\right)}{{\left(a\,x^3-b\right)}^{1/3}}","Not used",1,"(x*(1 - (a*x^3)/b)^(1/3)*hypergeom([1/3, 1/3], 4/3, (a*x^3)/b))/(a*x^3 - b)^(1/3)","B"
1936,0,-1,135,0.000000,"\text{Not used}","int(((a^2 - 2*a*x + x^2)*(a*b + a*c - 3*b*c + 2*x*(b - a + c) - x^2))/((-(a - x)*(b - x)*(c - x))^(3/4)*(b*c - x*(b + c + 3*a^2*d) + a^3*d - d*x^3 + x^2*(3*a*d + 1))),x)","\int \frac{\left(a^2-2\,a\,x+x^2\right)\,\left(a\,b+a\,c-3\,b\,c+2\,x\,\left(b-a+c\right)-x^2\right)}{{\left(-\left(a-x\right)\,\left(b-x\right)\,\left(c-x\right)\right)}^{3/4}\,\left(b\,c-x\,\left(3\,d\,a^2+b+c\right)+a^3\,d-d\,x^3+x^2\,\left(3\,a\,d+1\right)\right)} \,d x","Not used",1,"int(((a^2 - 2*a*x + x^2)*(a*b + a*c - 3*b*c + 2*x*(b - a + c) - x^2))/((-(a - x)*(b - x)*(c - x))^(3/4)*(b*c - x*(b + c + 3*a^2*d) + a^3*d - d*x^3 + x^2*(3*a*d + 1))), x)","F"
1937,0,-1,135,0.000000,"\text{Not used}","int(((x^5 - 4)*(x^5 - 2*x^4 + 1)^(1/4))/(x^2*(x^5 + 1)),x)","\int \frac{\left(x^5-4\right)\,{\left(x^5-2\,x^4+1\right)}^{1/4}}{x^2\,\left(x^5+1\right)} \,d x","Not used",1,"int(((x^5 - 4)*(x^5 - 2*x^4 + 1)^(1/4))/(x^2*(x^5 + 1)), x)","F"
1938,1,54,135,1.295968,"\text{Not used}","int((b + a*x^6)/(x^6*(x + x^3)^(1/3)),x)","\frac{3\,a\,x\,{\left(x^2+1\right)}^{1/3}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{3},\frac{1}{3};\ \frac{4}{3};\ -x^2\right)}{2\,{\left(x^3+x\right)}^{1/3}}-\frac{3\,b\,{\left(x^3+x\right)}^{2/3}\,\left(9\,x^4-6\,x^2+5\right)}{80\,x^6}","Not used",1,"(3*a*x*(x^2 + 1)^(1/3)*hypergeom([1/3, 1/3], 4/3, -x^2))/(2*(x + x^3)^(1/3)) - (3*b*(x + x^3)^(2/3)*(9*x^4 - 6*x^2 + 5))/(80*x^6)","B"
1939,0,-1,135,0.000000,"\text{Not used}","int((b^2 + a^2*x^2)/(a*x + (b^2 + a^2*x^2)^(1/2))^(1/2),x)","\int \frac{a^2\,x^2+b^2}{\sqrt{a\,x+\sqrt{a^2\,x^2+b^2}}} \,d x","Not used",1,"int((b^2 + a^2*x^2)/(a*x + (b^2 + a^2*x^2)^(1/2))^(1/2), x)","F"
1940,0,-1,136,0.000000,"\text{Not used}","int(x^2/((b + a*x^2)^(3/4)*(2*b + a*x^2)),x)","\int \frac{x^2}{{\left(a\,x^2+b\right)}^{3/4}\,\left(a\,x^2+2\,b\right)} \,d x","Not used",1,"int(x^2/((b + a*x^2)^(3/4)*(2*b + a*x^2)), x)","F"
1941,0,-1,136,0.000000,"\text{Not used}","int(x/(a*x^3 - b)^(2/3),x)","\int \frac{x}{{\left(a\,x^3-b\right)}^{2/3}} \,d x","Not used",1,"int(x/(a*x^3 - b)^(2/3), x)","F"
1942,0,-1,136,0.000000,"\text{Not used}","int((x*(x^2 + x^4)^(1/3))/(2*x^2 + 1),x)","\int \frac{x\,{\left(x^4+x^2\right)}^{1/3}}{2\,x^2+1} \,d x","Not used",1,"int((x*(x^2 + x^4)^(1/3))/(2*x^2 + 1), x)","F"
1943,0,-1,136,0.000000,"\text{Not used}","int(-(b + a*x^3)/(x^6*(b*x + a*x^4)^(1/4)*(b - a*x^3)),x)","-\int \frac{a\,x^3+b}{x^6\,{\left(a\,x^4+b\,x\right)}^{1/4}\,\left(b-a\,x^3\right)} \,d x","Not used",1,"-int((b + a*x^3)/(x^6*(b*x + a*x^4)^(1/4)*(b - a*x^3)), x)","F"
1944,0,-1,136,0.000000,"\text{Not used}","int(((x^2 + x^6)^(1/4)*(x^4 - 1))/(x^4 + x^8 + 1),x)","\int \frac{{\left(x^6+x^2\right)}^{1/4}\,\left(x^4-1\right)}{x^8+x^4+1} \,d x","Not used",1,"int(((x^2 + x^6)^(1/4)*(x^4 - 1))/(x^4 + x^8 + 1), x)","F"
1945,0,-1,136,0.000000,"\text{Not used}","int(((x^2 + x^6)^(1/4)*(x^4 - 1))/(x^4 + x^8 + 1),x)","\int \frac{{\left(x^6+x^2\right)}^{1/4}\,\left(x^4-1\right)}{x^8+x^4+1} \,d x","Not used",1,"int(((x^2 + x^6)^(1/4)*(x^4 - 1))/(x^4 + x^8 + 1), x)","F"
1946,0,-1,136,0.000000,"\text{Not used}","int((x*(a*x + (a*x - b)^(1/2))^(1/2))/(a*x - b)^(1/2),x)","\int \frac{x\,\sqrt{a\,x+\sqrt{a\,x-b}}}{\sqrt{a\,x-b}} \,d x","Not used",1,"int((x*(a*x + (a*x - b)^(1/2))^(1/2))/(a*x - b)^(1/2), x)","F"
1947,0,-1,136,0.000000,"\text{Not used}","int(((a*x + (a*x - b)^(1/2))^(1/2)*(a*x - 1))/(a*x - b)^(1/2),x)","\int \frac{\sqrt{a\,x+\sqrt{a\,x-b}}\,\left(a\,x-1\right)}{\sqrt{a\,x-b}} \,d x","Not used",1,"int(((a*x + (a*x - b)^(1/2))^(1/2)*(a*x - 1))/(a*x - b)^(1/2), x)","F"
1948,0,-1,136,0.000000,"\text{Not used}","int((x^4 - 1)/((x^4 + 1)*(x + (x^2 + 1)^(1/2))^(1/2)),x)","\int \frac{x^4-1}{\left(x^4+1\right)\,\sqrt{x+\sqrt{x^2+1}}} \,d x","Not used",1,"int((x^4 - 1)/((x^4 + 1)*(x + (x^2 + 1)^(1/2))^(1/2)), x)","F"
1949,0,-1,136,0.000000,"\text{Not used}","int((x^4 - 1)/((x^4 + 1)*(x + (x^2 + 1)^(1/2))^(1/2)),x)","\int \frac{x^4-1}{\left(x^4+1\right)\,\sqrt{x+\sqrt{x^2+1}}} \,d x","Not used",1,"int((x^4 - 1)/((x^4 + 1)*(x + (x^2 + 1)^(1/2))^(1/2)), x)","F"
1950,0,-1,137,0.000000,"\text{Not used}","int(1/((x^8 - 1)*(x^4 - x^2)^(1/4)),x)","\int \frac{1}{\left(x^8-1\right)\,{\left(x^4-x^2\right)}^{1/4}} \,d x","Not used",1,"int(1/((x^8 - 1)*(x^4 - x^2)^(1/4)), x)","F"
1951,0,-1,137,0.000000,"\text{Not used}","int(1/((x^8 - 1)*(x^4 - x^2)^(1/4)),x)","\int \frac{1}{\left(x^8-1\right)\,{\left(x^4-x^2\right)}^{1/4}} \,d x","Not used",1,"int(1/((x^8 - 1)*(x^4 - x^2)^(1/4)), x)","F"
1952,0,-1,137,0.000000,"\text{Not used}","int(-(x^4 - 2)/((x^4 + 1)^(1/4)*(x^4 - 2*x^8 + 1)),x)","-\int \frac{x^4-2}{{\left(x^4+1\right)}^{1/4}\,\left(-2\,x^8+x^4+1\right)} \,d x","Not used",1,"-int((x^4 - 2)/((x^4 + 1)^(1/4)*(x^4 - 2*x^8 + 1)), x)","F"
1953,0,-1,137,0.000000,"\text{Not used}","int((b + (a*x^2 + b^2)^(1/2))^(1/2)/(a*x^2 + b^2)^(5/2),x)","\int \frac{\sqrt{b+\sqrt{b^2+a\,x^2}}}{{\left(b^2+a\,x^2\right)}^{5/2}} \,d x","Not used",1,"int((b + (a*x^2 + b^2)^(1/2))^(1/2)/(a*x^2 + b^2)^(5/2), x)","F"
1954,1,64,138,1.026461,"\text{Not used}","int((a*x^2 - b)^(1/4)/x,x)","2\,{\left(a\,x^2-b\right)}^{1/4}-{\left(-b\right)}^{1/4}\,\mathrm{atan}\left(\frac{{\left(a\,x^2-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)-{\left(-b\right)}^{1/4}\,\mathrm{atanh}\left(\frac{{\left(a\,x^2-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)","Not used",1,"2*(a*x^2 - b)^(1/4) - (-b)^(1/4)*atan((a*x^2 - b)^(1/4)/(-b)^(1/4)) - (-b)^(1/4)*atanh((a*x^2 - b)^(1/4)/(-b)^(1/4))","B"
1955,0,-1,138,0.000000,"\text{Not used}","int(((x^3 - x)^(1/3)*(b + a*x^2))/x^2,x)","\int \frac{{\left(x^3-x\right)}^{1/3}\,\left(a\,x^2+b\right)}{x^2} \,d x","Not used",1,"int(((x^3 - x)^(1/3)*(b + a*x^2))/x^2, x)","F"
1956,1,160,138,1.352758,"\text{Not used}","int(-(b - a*x)/(x*(b^3 + a^3*x^3)^(1/3)),x)","\frac{a\,x\,{\left(\frac{a^3\,x^3}{b^3}+1\right)}^{1/3}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{3},\frac{1}{3};\ \frac{4}{3};\ -\frac{a^3\,x^3}{b^3}\right)}{{\left(a^3\,x^3+b^3\right)}^{1/3}}-\ln\left(b^2\,{\left(a^3\,x^3+b^3\right)}^{1/3}-9\,b^3\,{\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}^2\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)+\ln\left(b^2\,{\left(a^3\,x^3+b^3\right)}^{1/3}-9\,b^3\,{\left(\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}^2\right)\,\left(\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)-\frac{\ln\left(b^2\,{\left(a^3\,x^3+b^3\right)}^{1/3}-b^3\right)}{3}","Not used",1,"log(b^2*(b^3 + a^3*x^3)^(1/3) - 9*b^3*((3^(1/2)*1i)/6 + 1/6)^2)*((3^(1/2)*1i)/6 + 1/6) - log(b^2*(b^3 + a^3*x^3)^(1/3) - 9*b^3*((3^(1/2)*1i)/6 - 1/6)^2)*((3^(1/2)*1i)/6 - 1/6) - log(b^2*(b^3 + a^3*x^3)^(1/3) - b^3)/3 + (a*x*((a^3*x^3)/b^3 + 1)^(1/3)*hypergeom([1/3, 1/3], 4/3, -(a^3*x^3)/b^3))/(b^3 + a^3*x^3)^(1/3)","B"
1957,0,-1,138,0.000000,"\text{Not used}","int((x^2*(x^4 - x^3)^(1/4))/(x + 2),x)","\int \frac{x^2\,{\left(x^4-x^3\right)}^{1/4}}{x+2} \,d x","Not used",1,"int((x^2*(x^4 - x^3)^(1/4))/(x + 2), x)","F"
1958,0,-1,138,0.000000,"\text{Not used}","int(((x - 1)*(8*x - 8*x^2 + 12*x^4 - 3))/(x*(2*x^2 + 1)*(-(2*x^2 - 1)/(2*x^2 + 1))^(2/3)*(7*x^2 - 7*x - 6*x^3 + 2*x^4 + 3)),x)","\int \frac{\left(x-1\right)\,\left(12\,x^4-8\,x^2+8\,x-3\right)}{x\,\left(2\,x^2+1\right)\,{\left(-\frac{2\,x^2-1}{2\,x^2+1}\right)}^{2/3}\,\left(2\,x^4-6\,x^3+7\,x^2-7\,x+3\right)} \,d x","Not used",1,"int(((x - 1)*(8*x - 8*x^2 + 12*x^4 - 3))/(x*(2*x^2 + 1)*(-(2*x^2 - 1)/(2*x^2 + 1))^(2/3)*(7*x^2 - 7*x - 6*x^3 + 2*x^4 + 3)), x)","F"
1959,1,1622,138,1.827695,"\text{Not used}","int((b - a*x^5)/((a*b + x^5)*(a + b*x)^(1/2)),x)","\left(\sum _{k=1}^{10}\ln\left(-\mathrm{root}\left(9765625\,a^9\,b^6\,d^{10}-9765625\,a^{13}\,d^{10}+3906250\,a^{10}\,b^4\,d^8+1953125\,a^{12}\,b^4\,d^8+1953125\,a^8\,b^4\,d^8+468750\,a^{11}\,b^2\,d^6+312500\,a^{13}\,b^2\,d^6+312500\,a^9\,b^2\,d^6+78125\,a^{15}\,b^2\,d^6+78125\,a^7\,b^2\,d^6+252\,a^{10}\,b^2+210\,a^{12}\,b^2+210\,a^8\,b^2+120\,a^{14}\,b^2+120\,a^6\,b^2+45\,a^{16}\,b^2+45\,a^4\,b^2+10\,a^{18}\,b^2+10\,a^2\,b^2+a^{20}\,b^2+b^2,d,k\right)\,\left(\sqrt{a+b\,x}\,\left(2560\,a^{16}\,b^{40}+20480\,a^{14}\,b^{40}+71680\,a^{12}\,b^{40}+143360\,a^{10}\,b^{40}+179200\,a^8\,b^{40}+143360\,a^6\,b^{40}+71680\,a^4\,b^{40}+20480\,a^2\,b^{40}+2560\,b^{40}\right)+\mathrm{root}\left(9765625\,a^9\,b^6\,d^{10}-9765625\,a^{13}\,d^{10}+3906250\,a^{10}\,b^4\,d^8+1953125\,a^{12}\,b^4\,d^8+1953125\,a^8\,b^4\,d^8+468750\,a^{11}\,b^2\,d^6+312500\,a^{13}\,b^2\,d^6+312500\,a^9\,b^2\,d^6+78125\,a^{15}\,b^2\,d^6+78125\,a^7\,b^2\,d^6+252\,a^{10}\,b^2+210\,a^{12}\,b^2+210\,a^8\,b^2+120\,a^{14}\,b^2+120\,a^6\,b^2+45\,a^{16}\,b^2+45\,a^4\,b^2+10\,a^{18}\,b^2+10\,a^2\,b^2+a^{20}\,b^2+b^2,d,k\right)\,\left(12800\,a\,b^{41}-{\mathrm{root}\left(9765625\,a^9\,b^6\,d^{10}-9765625\,a^{13}\,d^{10}+3906250\,a^{10}\,b^4\,d^8+1953125\,a^{12}\,b^4\,d^8+1953125\,a^8\,b^4\,d^8+468750\,a^{11}\,b^2\,d^6+312500\,a^{13}\,b^2\,d^6+312500\,a^9\,b^2\,d^6+78125\,a^{15}\,b^2\,d^6+78125\,a^7\,b^2\,d^6+252\,a^{10}\,b^2+210\,a^{12}\,b^2+210\,a^8\,b^2+120\,a^{14}\,b^2+120\,a^6\,b^2+45\,a^{16}\,b^2+45\,a^4\,b^2+10\,a^{18}\,b^2+10\,a^2\,b^2+a^{20}\,b^2+b^2,d,k\right)}^4\,\left(\mathrm{root}\left(9765625\,a^9\,b^6\,d^{10}-9765625\,a^{13}\,d^{10}+3906250\,a^{10}\,b^4\,d^8+1953125\,a^{12}\,b^4\,d^8+1953125\,a^8\,b^4\,d^8+468750\,a^{11}\,b^2\,d^6+312500\,a^{13}\,b^2\,d^6+312500\,a^9\,b^2\,d^6+78125\,a^{15}\,b^2\,d^6+78125\,a^7\,b^2\,d^6+252\,a^{10}\,b^2+210\,a^{12}\,b^2+210\,a^8\,b^2+120\,a^{14}\,b^2+120\,a^6\,b^2+45\,a^{16}\,b^2+45\,a^4\,b^2+10\,a^{18}\,b^2+10\,a^2\,b^2+a^{20}\,b^2+b^2,d,k\right)\,\left(\mathrm{root}\left(9765625\,a^9\,b^6\,d^{10}-9765625\,a^{13}\,d^{10}+3906250\,a^{10}\,b^4\,d^8+1953125\,a^{12}\,b^4\,d^8+1953125\,a^8\,b^4\,d^8+468750\,a^{11}\,b^2\,d^6+312500\,a^{13}\,b^2\,d^6+312500\,a^9\,b^2\,d^6+78125\,a^{15}\,b^2\,d^6+78125\,a^7\,b^2\,d^6+252\,a^{10}\,b^2+210\,a^{12}\,b^2+210\,a^8\,b^2+120\,a^{14}\,b^2+120\,a^6\,b^2+45\,a^{16}\,b^2+45\,a^4\,b^2+10\,a^{18}\,b^2+10\,a^2\,b^2+a^{20}\,b^2+b^2,d,k\right)\,\left(200000000\,a^8\,b^{41}+200000000\,a^{10}\,b^{41}-\mathrm{root}\left(9765625\,a^9\,b^6\,d^{10}-9765625\,a^{13}\,d^{10}+3906250\,a^{10}\,b^4\,d^8+1953125\,a^{12}\,b^4\,d^8+1953125\,a^8\,b^4\,d^8+468750\,a^{11}\,b^2\,d^6+312500\,a^{13}\,b^2\,d^6+312500\,a^9\,b^2\,d^6+78125\,a^{15}\,b^2\,d^6+78125\,a^7\,b^2\,d^6+252\,a^{10}\,b^2+210\,a^{12}\,b^2+210\,a^8\,b^2+120\,a^{14}\,b^2+120\,a^6\,b^2+45\,a^{16}\,b^2+45\,a^4\,b^2+10\,a^{18}\,b^2+10\,a^2\,b^2+a^{20}\,b^2+b^2,d,k\right)\,a^8\,b^{42}\,\sqrt{a+b\,x}\,1000000000\right)-\sqrt{a+b\,x}\,\left(80000000\,a^{11}\,b^{40}+160000000\,a^9\,b^{40}+80000000\,a^7\,b^{40}\right)\right)+8000000\,a^7\,b^{39}+24000000\,a^9\,b^{39}+24000000\,a^{11}\,b^{39}+8000000\,a^{13}\,b^{39}\right)+89600\,a^3\,b^{41}+268800\,a^5\,b^{41}+448000\,a^7\,b^{41}+448000\,a^9\,b^{41}+268800\,a^{11}\,b^{41}+89600\,a^{13}\,b^{41}+12800\,a^{15}\,b^{41}\right)\right)\right)\,\mathrm{root}\left(9765625\,a^9\,b^6\,d^{10}-9765625\,a^{13}\,d^{10}+3906250\,a^{10}\,b^4\,d^8+1953125\,a^{12}\,b^4\,d^8+1953125\,a^8\,b^4\,d^8+468750\,a^{11}\,b^2\,d^6+312500\,a^{13}\,b^2\,d^6+312500\,a^9\,b^2\,d^6+78125\,a^{15}\,b^2\,d^6+78125\,a^7\,b^2\,d^6+252\,a^{10}\,b^2+210\,a^{12}\,b^2+210\,a^8\,b^2+120\,a^{14}\,b^2+120\,a^6\,b^2+45\,a^{16}\,b^2+45\,a^4\,b^2+10\,a^{18}\,b^2+10\,a^2\,b^2+a^{20}\,b^2+b^2,d,k\right)\right)-\frac{2\,a\,\sqrt{a+b\,x}}{b}","Not used",1,"symsum(log(-root(9765625*a^9*b^6*d^10 - 9765625*a^13*d^10 + 3906250*a^10*b^4*d^8 + 1953125*a^12*b^4*d^8 + 1953125*a^8*b^4*d^8 + 468750*a^11*b^2*d^6 + 312500*a^13*b^2*d^6 + 312500*a^9*b^2*d^6 + 78125*a^15*b^2*d^6 + 78125*a^7*b^2*d^6 + 252*a^10*b^2 + 210*a^12*b^2 + 210*a^8*b^2 + 120*a^14*b^2 + 120*a^6*b^2 + 45*a^16*b^2 + 45*a^4*b^2 + 10*a^18*b^2 + 10*a^2*b^2 + a^20*b^2 + b^2, d, k)*((a + b*x)^(1/2)*(2560*b^40 + 20480*a^2*b^40 + 71680*a^4*b^40 + 143360*a^6*b^40 + 179200*a^8*b^40 + 143360*a^10*b^40 + 71680*a^12*b^40 + 20480*a^14*b^40 + 2560*a^16*b^40) + root(9765625*a^9*b^6*d^10 - 9765625*a^13*d^10 + 3906250*a^10*b^4*d^8 + 1953125*a^12*b^4*d^8 + 1953125*a^8*b^4*d^8 + 468750*a^11*b^2*d^6 + 312500*a^13*b^2*d^6 + 312500*a^9*b^2*d^6 + 78125*a^15*b^2*d^6 + 78125*a^7*b^2*d^6 + 252*a^10*b^2 + 210*a^12*b^2 + 210*a^8*b^2 + 120*a^14*b^2 + 120*a^6*b^2 + 45*a^16*b^2 + 45*a^4*b^2 + 10*a^18*b^2 + 10*a^2*b^2 + a^20*b^2 + b^2, d, k)*(12800*a*b^41 - root(9765625*a^9*b^6*d^10 - 9765625*a^13*d^10 + 3906250*a^10*b^4*d^8 + 1953125*a^12*b^4*d^8 + 1953125*a^8*b^4*d^8 + 468750*a^11*b^2*d^6 + 312500*a^13*b^2*d^6 + 312500*a^9*b^2*d^6 + 78125*a^15*b^2*d^6 + 78125*a^7*b^2*d^6 + 252*a^10*b^2 + 210*a^12*b^2 + 210*a^8*b^2 + 120*a^14*b^2 + 120*a^6*b^2 + 45*a^16*b^2 + 45*a^4*b^2 + 10*a^18*b^2 + 10*a^2*b^2 + a^20*b^2 + b^2, d, k)^4*(root(9765625*a^9*b^6*d^10 - 9765625*a^13*d^10 + 3906250*a^10*b^4*d^8 + 1953125*a^12*b^4*d^8 + 1953125*a^8*b^4*d^8 + 468750*a^11*b^2*d^6 + 312500*a^13*b^2*d^6 + 312500*a^9*b^2*d^6 + 78125*a^15*b^2*d^6 + 78125*a^7*b^2*d^6 + 252*a^10*b^2 + 210*a^12*b^2 + 210*a^8*b^2 + 120*a^14*b^2 + 120*a^6*b^2 + 45*a^16*b^2 + 45*a^4*b^2 + 10*a^18*b^2 + 10*a^2*b^2 + a^20*b^2 + b^2, d, k)*(root(9765625*a^9*b^6*d^10 - 9765625*a^13*d^10 + 3906250*a^10*b^4*d^8 + 1953125*a^12*b^4*d^8 + 1953125*a^8*b^4*d^8 + 468750*a^11*b^2*d^6 + 312500*a^13*b^2*d^6 + 312500*a^9*b^2*d^6 + 78125*a^15*b^2*d^6 + 78125*a^7*b^2*d^6 + 252*a^10*b^2 + 210*a^12*b^2 + 210*a^8*b^2 + 120*a^14*b^2 + 120*a^6*b^2 + 45*a^16*b^2 + 45*a^4*b^2 + 10*a^18*b^2 + 10*a^2*b^2 + a^20*b^2 + b^2, d, k)*(200000000*a^8*b^41 + 200000000*a^10*b^41 - 1000000000*root(9765625*a^9*b^6*d^10 - 9765625*a^13*d^10 + 3906250*a^10*b^4*d^8 + 1953125*a^12*b^4*d^8 + 1953125*a^8*b^4*d^8 + 468750*a^11*b^2*d^6 + 312500*a^13*b^2*d^6 + 312500*a^9*b^2*d^6 + 78125*a^15*b^2*d^6 + 78125*a^7*b^2*d^6 + 252*a^10*b^2 + 210*a^12*b^2 + 210*a^8*b^2 + 120*a^14*b^2 + 120*a^6*b^2 + 45*a^16*b^2 + 45*a^4*b^2 + 10*a^18*b^2 + 10*a^2*b^2 + a^20*b^2 + b^2, d, k)*a^8*b^42*(a + b*x)^(1/2)) - (a + b*x)^(1/2)*(80000000*a^7*b^40 + 160000000*a^9*b^40 + 80000000*a^11*b^40)) + 8000000*a^7*b^39 + 24000000*a^9*b^39 + 24000000*a^11*b^39 + 8000000*a^13*b^39) + 89600*a^3*b^41 + 268800*a^5*b^41 + 448000*a^7*b^41 + 448000*a^9*b^41 + 268800*a^11*b^41 + 89600*a^13*b^41 + 12800*a^15*b^41)))*root(9765625*a^9*b^6*d^10 - 9765625*a^13*d^10 + 3906250*a^10*b^4*d^8 + 1953125*a^12*b^4*d^8 + 1953125*a^8*b^4*d^8 + 468750*a^11*b^2*d^6 + 312500*a^13*b^2*d^6 + 312500*a^9*b^2*d^6 + 78125*a^15*b^2*d^6 + 78125*a^7*b^2*d^6 + 252*a^10*b^2 + 210*a^12*b^2 + 210*a^8*b^2 + 120*a^14*b^2 + 120*a^6*b^2 + 45*a^16*b^2 + 45*a^4*b^2 + 10*a^18*b^2 + 10*a^2*b^2 + a^20*b^2 + b^2, d, k), k, 1, 10) - (2*a*(a + b*x)^(1/2))/b","B"
1960,0,-1,138,0.000000,"\text{Not used}","int(((x^3 - 1)^(2/3)*(x^3 + x^6 + 1))/(x^6*(x^6 - 1)),x)","\int \frac{{\left(x^3-1\right)}^{2/3}\,\left(x^6+x^3+1\right)}{x^6\,\left(x^6-1\right)} \,d x","Not used",1,"int(((x^3 - 1)^(2/3)*(x^3 + x^6 + 1))/(x^6*(x^6 - 1)), x)","F"
1961,0,-1,138,0.000000,"\text{Not used}","int((x^2 - 1)/((x^2 + 1)*(((x + 1)^(1/2) + 1)^(1/2) + 1)^(1/2)*((x + 1)^(1/2) + 1)^(1/2)*(x + 1)^(1/2)),x)","\int \frac{x^2-1}{\left(x^2+1\right)\,\sqrt{\sqrt{\sqrt{x+1}+1}+1}\,\sqrt{\sqrt{x+1}+1}\,\sqrt{x+1}} \,d x","Not used",1,"int((x^2 - 1)/((x^2 + 1)*(((x + 1)^(1/2) + 1)^(1/2) + 1)^(1/2)*((x + 1)^(1/2) + 1)^(1/2)*(x + 1)^(1/2)), x)","F"
1962,0,-1,138,0.000000,"\text{Not used}","int((x^2 - 1)/((x^2 + 1)*(((x + 1)^(1/2) + 1)^(1/2) + 1)^(1/2)*((x + 1)^(1/2) + 1)^(1/2)*(x + 1)^(1/2)),x)","\int \frac{x^2-1}{\left(x^2+1\right)\,\sqrt{\sqrt{\sqrt{x+1}+1}+1}\,\sqrt{\sqrt{x+1}+1}\,\sqrt{x+1}} \,d x","Not used",1,"int((x^2 - 1)/((x^2 + 1)*(((x + 1)^(1/2) + 1)^(1/2) + 1)^(1/2)*((x + 1)^(1/2) + 1)^(1/2)*(x + 1)^(1/2)), x)","F"
1963,0,-1,139,0.000000,"\text{Not used}","int(-x/((a*d - x*(d - 1))*(-x^2*(a - x))^(2/3)),x)","\int -\frac{x}{\left(a\,d-x\,\left(d-1\right)\right)\,{\left(-x^2\,\left(a-x\right)\right)}^{2/3}} \,d x","Not used",1,"int(-x/((a*d - x*(d - 1))*(-x^2*(a - x))^(2/3)), x)","F"
1964,1,63,139,1.058143,"\text{Not used}","int((a*x^2 - b)^(3/4)/x,x)","\frac{2\,{\left(a\,x^2-b\right)}^{3/4}}{3}+{\left(-b\right)}^{3/4}\,\mathrm{atan}\left(\frac{{\left(a\,x^2-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)-{\left(-b\right)}^{3/4}\,\mathrm{atanh}\left(\frac{{\left(a\,x^2-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)","Not used",1,"(2*(a*x^2 - b)^(3/4))/3 + (-b)^(3/4)*atan((a*x^2 - b)^(1/4)/(-b)^(1/4)) - (-b)^(3/4)*atanh((a*x^2 - b)^(1/4)/(-b)^(1/4))","B"
1965,0,-1,139,0.000000,"\text{Not used}","int(-(2*x - x^2)/((x^4 + 1)^(1/4)*(x^2 - x + 1)),x)","\int -\frac{2\,x-x^2}{{\left(x^4+1\right)}^{1/4}\,\left(x^2-x+1\right)} \,d x","Not used",1,"int(-(2*x - x^2)/((x^4 + 1)^(1/4)*(x^2 - x + 1)), x)","F"
1966,-1,-1,139,0.000000,"\text{Not used}","int((k^4*x^4 + 1)/((k^4*x^4 - 1)*(x*(k^2*x - 1)*(x - 1))^(1/2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
1967,0,-1,139,0.000000,"\text{Not used}","int(-(b - a*x^8)/((b + a*x^8)*(a*x^4 - b*x^2)^(1/4)),x)","\int -\frac{b-a\,x^8}{\left(a\,x^8+b\right)\,{\left(a\,x^4-b\,x^2\right)}^{1/4}} \,d x","Not used",1,"int(-(b - a*x^8)/((b + a*x^8)*(a*x^4 - b*x^2)^(1/4)), x)","F"
1968,0,-1,139,0.000000,"\text{Not used}","int(-(b - a*x^8)/((b + a*x^8)*(a*x^4 - b*x^2)^(1/4)),x)","\int -\frac{b-a\,x^8}{\left(a\,x^8+b\right)\,{\left(a\,x^4-b\,x^2\right)}^{1/4}} \,d x","Not used",1,"int(-(b - a*x^8)/((b + a*x^8)*(a*x^4 - b*x^2)^(1/4)), x)","F"
1969,0,-1,139,0.000000,"\text{Not used}","int(((x^8 - 1)*(x^8 + 1))/((x^8 - x^4 - 1)^(1/4)*(x^16 - 3*x^8 + 1)),x)","\int \frac{\left(x^8-1\right)\,\left(x^8+1\right)}{{\left(x^8-x^4-1\right)}^{1/4}\,\left(x^{16}-3\,x^8+1\right)} \,d x","Not used",1,"int(((x^8 - 1)*(x^8 + 1))/((x^8 - x^4 - 1)^(1/4)*(x^16 - 3*x^8 + 1)), x)","F"
1970,0,-1,140,0.000000,"\text{Not used}","int(-1/((a*d - x*(d - 1))*(-x^2*(a - x))^(1/3)),x)","\int -\frac{1}{\left(a\,d-x\,\left(d-1\right)\right)\,{\left(-x^2\,\left(a-x\right)\right)}^{1/3}} \,d x","Not used",1,"int(-1/((a*d - x*(d - 1))*(-x^2*(a - x))^(1/3)), x)","F"
1971,0,-1,140,0.000000,"\text{Not used}","int((2*x + x^2 + 6)^(1/3)/(x + 1),x)","\int \frac{{\left(x^2+2\,x+6\right)}^{1/3}}{x+1} \,d x","Not used",1,"int((2*x + x^2 + 6)^(1/3)/(x + 1), x)","F"
1972,1,100,140,1.241001,"\text{Not used}","int((x - 1)/(x*(x^3 - 1)^(1/3)),x)","\frac{\ln\left({\left(x^3-1\right)}^{1/3}+1\right)}{3}+\ln\left(9\,{\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}^2+{\left(x^3-1\right)}^{1/3}\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)-\ln\left(9\,{\left(\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}^2+{\left(x^3-1\right)}^{1/3}\right)\,\left(\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)+\frac{x\,{\left(1-x^3\right)}^{1/3}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{3},\frac{1}{3};\ \frac{4}{3};\ x^3\right)}{{\left(x^3-1\right)}^{1/3}}","Not used",1,"log((x^3 - 1)^(1/3) + 1)/3 + log(9*((3^(1/2)*1i)/6 - 1/6)^2 + (x^3 - 1)^(1/3))*((3^(1/2)*1i)/6 - 1/6) - log(9*((3^(1/2)*1i)/6 + 1/6)^2 + (x^3 - 1)^(1/3))*((3^(1/2)*1i)/6 + 1/6) + (x*(1 - x^3)^(1/3)*hypergeom([1/3, 1/3], 4/3, x^3))/(x^3 - 1)^(1/3)","B"
1973,0,-1,140,0.000000,"\text{Not used}","int(((x^3 - 1)^(2/3)*(x^3 + 1))/(x^6*(x^3 - 2)),x)","\int \frac{{\left(x^3-1\right)}^{2/3}\,\left(x^3+1\right)}{x^6\,\left(x^3-2\right)} \,d x","Not used",1,"int(((x^3 - 1)^(2/3)*(x^3 + 1))/(x^6*(x^3 - 2)), x)","F"
1974,0,-1,140,0.000000,"\text{Not used}","int(((x^2 - 4)*(x + x^3)^(1/3))/(x^4*(x^2 + 2)),x)","\int \frac{\left(x^2-4\right)\,{\left(x^3+x\right)}^{1/3}}{x^4\,\left(x^2+2\right)} \,d x","Not used",1,"int(((x^2 - 4)*(x + x^3)^(1/3))/(x^4*(x^2 + 2)), x)","F"
1975,0,-1,140,0.000000,"\text{Not used}","int((x^2 + 2)/((x^2 + 1)*(x^3 - x^2)^(1/3)),x)","\int \frac{x^2+2}{\left(x^2+1\right)\,{\left(x^3-x^2\right)}^{1/3}} \,d x","Not used",1,"int((x^2 + 2)/((x^2 + 1)*(x^3 - x^2)^(1/3)), x)","F"
1976,-1,-1,140,0.000000,"\text{Not used}","int(x/((a*x^3 - b*x)^(1/2)*(b + a*x^2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
1977,-1,-1,140,0.000000,"\text{Not used}","int(-(b - a*x^2)/((a*x^3 - b*x)^(1/2)*(b + a*x^2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
1978,-1,-1,140,0.000000,"\text{Not used}","int(-(a*x^3 - b*x)^(1/2)/(b^2 - a^2*x^4),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
1979,0,-1,140,0.000000,"\text{Not used}","int(((x^5 + 1)^(2/3)*(2*x^5 - 3)*(x^3 + 2*x^5 + 2))/(x^6*(2*x^5 - x^3 + 2)),x)","\int \frac{{\left(x^5+1\right)}^{2/3}\,\left(2\,x^5-3\right)\,\left(2\,x^5+x^3+2\right)}{x^6\,\left(2\,x^5-x^3+2\right)} \,d x","Not used",1,"int(((x^5 + 1)^(2/3)*(2*x^5 - 3)*(x^3 + 2*x^5 + 2))/(x^6*(2*x^5 - x^3 + 2)), x)","F"
1980,0,-1,140,0.000000,"\text{Not used}","int(-(b + a*x^6)/((b - a*x^6)*(a*x^6 - b + a^3*x^3)^(1/3)),x)","\int -\frac{a\,x^6+b}{\left(b-a\,x^6\right)\,{\left(a^3\,x^3+a\,x^6-b\right)}^{1/3}} \,d x","Not used",1,"int(-(b + a*x^6)/((b - a*x^6)*(a*x^6 - b + a^3*x^3)^(1/3)), x)","F"
1981,0,-1,140,0.000000,"\text{Not used}","int(((x^2 + 1)*(x^8 + 1)*(x^2 + x^4 + x^6 + x^8 + 1)^(1/2))/(x^7*(x^2 - 1)),x)","\int \frac{\left(x^2+1\right)\,\left(x^8+1\right)\,\sqrt{x^8+x^6+x^4+x^2+1}}{x^7\,\left(x^2-1\right)} \,d x","Not used",1,"int(((x^2 + 1)*(x^8 + 1)*(x^2 + x^4 + x^6 + x^8 + 1)^(1/2))/(x^7*(x^2 - 1)), x)","F"
1982,0,-1,140,0.000000,"\text{Not used}","int(-(b + a*x^8)/((b - a*x^8)*(a*x^4 - b*x^2)^(1/4)),x)","\int -\frac{a\,x^8+b}{\left(b-a\,x^8\right)\,{\left(a\,x^4-b\,x^2\right)}^{1/4}} \,d x","Not used",1,"int(-(b + a*x^8)/((b - a*x^8)*(a*x^4 - b*x^2)^(1/4)), x)","F"
1983,0,-1,140,0.000000,"\text{Not used}","int(-(b + a*x^8)/((b - a*x^8)*(a*x^4 - b*x^2)^(1/4)),x)","\int -\frac{a\,x^8+b}{\left(b-a\,x^8\right)\,{\left(a\,x^4-b\,x^2\right)}^{1/4}} \,d x","Not used",1,"int(-(b + a*x^8)/((b - a*x^8)*(a*x^4 - b*x^2)^(1/4)), x)","F"
1984,0,-1,140,0.000000,"\text{Not used}","int(((x^4 - 1)*(x + (x^2 + 1)^(1/2))^(1/2))/(x^4 + 1),x)","\int \frac{\left(x^4-1\right)\,\sqrt{x+\sqrt{x^2+1}}}{x^4+1} \,d x","Not used",1,"int(((x^4 - 1)*(x + (x^2 + 1)^(1/2))^(1/2))/(x^4 + 1), x)","F"
1985,0,-1,140,0.000000,"\text{Not used}","int(((x^4 - 1)*(x + (x^2 + 1)^(1/2))^(1/2))/(x^4 + 1),x)","\int \frac{\left(x^4-1\right)\,\sqrt{x+\sqrt{x^2+1}}}{x^4+1} \,d x","Not used",1,"int(((x^4 - 1)*(x + (x^2 + 1)^(1/2))^(1/2))/(x^4 + 1), x)","F"
1986,0,-1,140,0.000000,"\text{Not used}","int((x^2*(x + x^2)^(1/2))/(x^2 + x*(x + x^2)^(1/2))^(1/2),x)","\int \frac{x^2\,\sqrt{x^2+x}}{\sqrt{x^2+x\,\sqrt{x^2+x}}} \,d x","Not used",1,"int((x^2*(x + x^2)^(1/2))/(x^2 + x*(x + x^2)^(1/2))^(1/2), x)","F"
1987,0,-1,140,0.000000,"\text{Not used}","int(1/((a*x + (b^2 + a^2*x^2)^(1/2))^(1/2)*(d + c*x^2)),x)","\int \frac{1}{\sqrt{a\,x+\sqrt{a^2\,x^2+b^2}}\,\left(c\,x^2+d\right)} \,d x","Not used",1,"int(1/((a*x + (b^2 + a^2*x^2)^(1/2))^(1/2)*(d + c*x^2)), x)","F"
1988,0,-1,140,0.000000,"\text{Not used}","int(1/((a*x + (b^2 + a^2*x^2)^(1/2))^(1/2)*(d + c*x^2)),x)","\int \frac{1}{\sqrt{a\,x+\sqrt{a^2\,x^2+b^2}}\,\left(c\,x^2+d\right)} \,d x","Not used",1,"int(1/((a*x + (b^2 + a^2*x^2)^(1/2))^(1/2)*(d + c*x^2)), x)","F"
1989,0,-1,140,0.000000,"\text{Not used}","int(-((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)/((x^2 - 1)*(x^2 + 1)^(1/2)),x)","-\int \frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}}{\left(x^2-1\right)\,\sqrt{x^2+1}} \,d x","Not used",1,"-int(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)/((x^2 - 1)*(x^2 + 1)^(1/2)), x)","F"
1990,0,-1,140,0.000000,"\text{Not used}","int(-((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)/((x^2 - 1)*(x^2 + 1)^(1/2)),x)","-\int \frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}}{\left(x^2-1\right)\,\sqrt{x^2+1}} \,d x","Not used",1,"-int(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)/((x^2 - 1)*(x^2 + 1)^(1/2)), x)","F"
1991,0,-1,140,0.000000,"\text{Not used}","int(-(b + a^2*x^2)^(1/2)/((a*x - (b + a^2*x^2)^(1/2))^(1/3) - x^2),x)","-\int \frac{\sqrt{a^2\,x^2+b}}{{\left(a\,x-\sqrt{a^2\,x^2+b}\right)}^{1/3}-x^2} \,d x","Not used",1,"-int((b + a^2*x^2)^(1/2)/((a*x - (b + a^2*x^2)^(1/2))^(1/3) - x^2), x)","F"
1992,0,-1,140,0.000000,"\text{Not used}","int(-(b + a^2*x^2)^(1/2)/((a*x - (b + a^2*x^2)^(1/2))^(1/2) - x^2),x)","-\int \frac{\sqrt{a^2\,x^2+b}}{\sqrt{a\,x-\sqrt{a^2\,x^2+b}}-x^2} \,d x","Not used",1,"-int((b + a^2*x^2)^(1/2)/((a*x - (b + a^2*x^2)^(1/2))^(1/2) - x^2), x)","F"
1993,0,-1,141,0.000000,"\text{Not used}","int((x^2 - 2*x - 6)^(1/3)/(x - 1),x)","\int \frac{{\left(x^2-2\,x-6\right)}^{1/3}}{x-1} \,d x","Not used",1,"int((x^2 - 2*x - 6)^(1/3)/(x - 1), x)","F"
1994,0,-1,141,0.000000,"\text{Not used}","int((x - 1)/(x^3 - x^2 - x + 1)^(1/3),x)","\int \frac{x-1}{{\left(x^3-x^2-x+1\right)}^{1/3}} \,d x","Not used",1,"int((x - 1)/(x^3 - x^2 - x + 1)^(1/3), x)","F"
1995,0,-1,141,0.000000,"\text{Not used}","int(x/(x^2 - x + x^3 - 1)^(1/3),x)","\int \frac{x}{{\left(x^3+x^2-x-1\right)}^{1/3}} \,d x","Not used",1,"int(x/(x^2 - x + x^3 - 1)^(1/3), x)","F"
1996,0,-1,141,0.000000,"\text{Not used}","int(((2*x + 3)*(x + 3*x^3 + 1)^(2/3))/(x^3*(x + x^3 + 1)),x)","\int \frac{\left(2\,x+3\right)\,{\left(3\,x^3+x+1\right)}^{2/3}}{x^3\,\left(x^3+x+1\right)} \,d x","Not used",1,"int(((2*x + 3)*(x + 3*x^3 + 1)^(2/3))/(x^3*(x + x^3 + 1)), x)","F"
1997,0,-1,141,0.000000,"\text{Not used}","int(-(x^2*(3*a*b^3 - x^4 - 2*b^2*x*(3*a + b) + 3*b*x^2*(a + b)))/((x*(a - x)*(b - x)^3)^(3/4)*(a*b^3 - x^3*(a + 3*b + d) + x^4 - b^2*x*(3*a + b) + 3*b*x^2*(a + b))),x)","\int -\frac{x^2\,\left(3\,a\,b^3-x^4-2\,b^2\,x\,\left(3\,a+b\right)+3\,b\,x^2\,\left(a+b\right)\right)}{{\left(x\,\left(a-x\right)\,{\left(b-x\right)}^3\right)}^{3/4}\,\left(a\,b^3-x^3\,\left(a+3\,b+d\right)+x^4-b^2\,x\,\left(3\,a+b\right)+3\,b\,x^2\,\left(a+b\right)\right)} \,d x","Not used",1,"int(-(x^2*(3*a*b^3 - x^4 - 2*b^2*x*(3*a + b) + 3*b*x^2*(a + b)))/((x*(a - x)*(b - x)^3)^(3/4)*(a*b^3 - x^3*(a + 3*b + d) + x^4 - b^2*x*(3*a + b) + 3*b*x^2*(a + b))), x)","F"
1998,0,-1,141,0.000000,"\text{Not used}","int(x^6/((b + a*x^4)*(a*x^4 - b)^(3/4)),x)","\int \frac{x^6}{\left(a\,x^4+b\right)\,{\left(a\,x^4-b\right)}^{3/4}} \,d x","Not used",1,"int(x^6/((b + a*x^4)*(a*x^4 - b)^(3/4)), x)","F"
1999,0,-1,141,0.000000,"\text{Not used}","int((b - 2*a*x^2)/((b - a*x^2)*(a*x^4 + b*x^2)^(1/4)),x)","\int \frac{b-2\,a\,x^2}{\left(b-a\,x^2\right)\,{\left(a\,x^4+b\,x^2\right)}^{1/4}} \,d x","Not used",1,"int((b - 2*a*x^2)/((b - a*x^2)*(a*x^4 + b*x^2)^(1/4)), x)","F"
2000,0,-1,141,0.000000,"\text{Not used}","int((3*b - 2*a*x^4)/((b + a*x^4)^(1/4)*(2*b - a*x^4)),x)","\int \frac{3\,b-2\,a\,x^4}{{\left(a\,x^4+b\right)}^{1/4}\,\left(2\,b-a\,x^4\right)} \,d x","Not used",1,"int((3*b - 2*a*x^4)/((b + a*x^4)^(1/4)*(2*b - a*x^4)), x)","F"
2001,0,-1,141,0.000000,"\text{Not used}","int((b + a*x^4)/((a*x^4 - b)^(1/4)*(b + 3*a*x^4)),x)","\int \frac{a\,x^4+b}{{\left(a\,x^4-b\right)}^{1/4}\,\left(3\,a\,x^4+b\right)} \,d x","Not used",1,"int((b + a*x^4)/((a*x^4 - b)^(1/4)*(b + 3*a*x^4)), x)","F"
2002,0,-1,141,0.000000,"\text{Not used}","int(-((x^6 + 2)*(x^4 - x^6 + 1))/((x^6 - 1)^2*(1 - x^6 - x^4)^(1/4)),x)","\int -\frac{\left(x^6+2\right)\,\left(-x^6+x^4+1\right)}{{\left(x^6-1\right)}^2\,{\left(-x^6-x^4+1\right)}^{1/4}} \,d x","Not used",1,"int(-((x^6 + 2)*(x^4 - x^6 + 1))/((x^6 - 1)^2*(1 - x^6 - x^4)^(1/4)), x)","F"
2003,0,-1,141,0.000000,"\text{Not used}","int(-((2*b - a*x^6)*(b + a*x^6 - c*x^4))/(x^2*(b + a*x^6)^(3/4)*(b + a*x^6 + c*x^4)),x)","\int -\frac{\left(2\,b-a\,x^6\right)\,\left(a\,x^6-c\,x^4+b\right)}{x^2\,{\left(a\,x^6+b\right)}^{3/4}\,\left(a\,x^6+c\,x^4+b\right)} \,d x","Not used",1,"int(-((2*b - a*x^6)*(b + a*x^6 - c*x^4))/(x^2*(b + a*x^6)^(3/4)*(b + a*x^6 + c*x^4)), x)","F"
2004,0,-1,141,0.000000,"\text{Not used}","int(-((2*x^4 + 1)^(1/4)*(x^4 - 2*x^8 + 1))/(x^6*(x^4 + 2)),x)","\int -\frac{{\left(2\,x^4+1\right)}^{1/4}\,\left(-2\,x^8+x^4+1\right)}{x^6\,\left(x^4+2\right)} \,d x","Not used",1,"int(-((2*x^4 + 1)^(1/4)*(x^4 - 2*x^8 + 1))/(x^6*(x^4 + 2)), x)","F"
2005,0,-1,141,0.000000,"\text{Not used}","int((b^8 - 2*a^4*x^4)/((a^4*x^4 - b^8)^(1/4)*(c*x^4 + b^8 - a^8*x^8)),x)","\int \frac{b^8-2\,a^4\,x^4}{{\left(a^4\,x^4-b^8\right)}^{1/4}\,\left(-a^8\,x^8+b^8+c\,x^4\right)} \,d x","Not used",1,"int((b^8 - 2*a^4*x^4)/((a^4*x^4 - b^8)^(1/4)*(c*x^4 + b^8 - a^8*x^8)), x)","F"
2006,0,-1,141,0.000000,"\text{Not used}","int((x^2 - 1)/((x^2 + 1)*(x + (x^2 + 1)^(1/2))^(1/2)),x)","\int \frac{x^2-1}{\left(x^2+1\right)\,\sqrt{x+\sqrt{x^2+1}}} \,d x","Not used",1,"int((x^2 - 1)/((x^2 + 1)*(x + (x^2 + 1)^(1/2))^(1/2)), x)","F"
2007,0,-1,142,0.000000,"\text{Not used}","int(((x + 2*x^3)^(1/3)*(x^2 + 1))/(x^4*(x^2 - 1)),x)","\int \frac{{\left(2\,x^3+x\right)}^{1/3}\,\left(x^2+1\right)}{x^4\,\left(x^2-1\right)} \,d x","Not used",1,"int(((x + 2*x^3)^(1/3)*(x^2 + 1))/(x^4*(x^2 - 1)), x)","F"
2008,1,66,142,1.625365,"\text{Not used}","int(-((b + a^3*x^3)^(1/3)*(b - a^3*x^3))/x^5,x)","\frac{{\left(a^3\,x^3+b\right)}^{4/3}}{4\,x^4}-\frac{a^3\,{\left(a^3\,x^3+b\right)}^{1/3}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{3},-\frac{1}{3};\ \frac{2}{3};\ -\frac{a^3\,x^3}{b}\right)}{x\,{\left(\frac{a^3\,x^3}{b}+1\right)}^{1/3}}","Not used",1,"(b + a^3*x^3)^(4/3)/(4*x^4) - (a^3*(b + a^3*x^3)^(1/3)*hypergeom([-1/3, -1/3], 2/3, -(a^3*x^3)/b))/(x*((a^3*x^3)/b + 1)^(1/3))","B"
2009,0,-1,142,0.000000,"\text{Not used}","int(-(3*b - a*x^2)/((3*b - 2*a*x^2)^(1/4)*(3*b - 2*a*x^2 + 3*x^4)),x)","\int -\frac{3\,b-a\,x^2}{{\left(3\,b-2\,a\,x^2\right)}^{1/4}\,\left(3\,x^4-2\,a\,x^2+3\,b\right)} \,d x","Not used",1,"int(-(3*b - a*x^2)/((3*b - 2*a*x^2)^(1/4)*(3*b - 2*a*x^2 + 3*x^4)), x)","F"
2010,0,-1,142,0.000000,"\text{Not used}","int(-((4*b - a*x^5)*(b + a*x^5 - c*x^4))/(x^2*(b + a*x^5)^(3/4)*(b + a*x^5 + c*x^4)),x)","\int -\frac{\left(4\,b-a\,x^5\right)\,\left(a\,x^5-c\,x^4+b\right)}{x^2\,{\left(a\,x^5+b\right)}^{3/4}\,\left(a\,x^5+c\,x^4+b\right)} \,d x","Not used",1,"int(-((4*b - a*x^5)*(b + a*x^5 - c*x^4))/(x^2*(b + a*x^5)^(3/4)*(b + a*x^5 + c*x^4)), x)","F"
2011,0,-1,142,0.000000,"\text{Not used}","int(((x^3 - 1)*(x^6 + 1)^(2/3)*(x^6 - x^3 + 1))/(x^6*(x^3 + 1)),x)","\int \frac{\left(x^3-1\right)\,{\left(x^6+1\right)}^{2/3}\,\left(x^6-x^3+1\right)}{x^6\,\left(x^3+1\right)} \,d x","Not used",1,"int(((x^3 - 1)*(x^6 + 1)^(2/3)*(x^6 - x^3 + 1))/(x^6*(x^3 + 1)), x)","F"
2012,0,-1,142,0.000000,"\text{Not used}","int(((a*x^2 - b^2)^2*(b + (a*x^2 + b^2)^(1/2))^(1/2))/(a*x^2 + b^2)^2,x)","\int \frac{{\left(a\,x^2-b^2\right)}^2\,\sqrt{b+\sqrt{b^2+a\,x^2}}}{{\left(b^2+a\,x^2\right)}^2} \,d x","Not used",1,"int(((a*x^2 - b^2)^2*(b + (a*x^2 + b^2)^(1/2))^(1/2))/(a*x^2 + b^2)^2, x)","F"
2013,0,-1,143,0.000000,"\text{Not used}","int(((x^3 + 2)*(2*x^3 + 1)^(2/3))/(x^6*(x^3 - 1)),x)","\int \frac{\left(x^3+2\right)\,{\left(2\,x^3+1\right)}^{2/3}}{x^6\,\left(x^3-1\right)} \,d x","Not used",1,"int(((x^3 + 2)*(2*x^3 + 1)^(2/3))/(x^6*(x^3 - 1)), x)","F"
2014,0,-1,143,0.000000,"\text{Not used}","int(((x^2 - 4)*(2 - 2*x^4 - x^2)^(1/4))/(x^2*(x^2 - 2)),x)","\int \frac{\left(x^2-4\right)\,{\left(-2\,x^4-x^2+2\right)}^{1/4}}{x^2\,\left(x^2-2\right)} \,d x","Not used",1,"int(((x^2 - 4)*(2 - 2*x^4 - x^2)^(1/4))/(x^2*(x^2 - 2)), x)","F"
2015,0,-1,143,0.000000,"\text{Not used}","int(1/((x + 1)*(2*x + x^2 - x^4 - 2)^(3/2)),x)","\int \frac{1}{\left(x+1\right)\,{\left(-x^4+x^2+2\,x-2\right)}^{3/2}} \,d x","Not used",1,"int(1/((x + 1)*(2*x + x^2 - x^4 - 2)^(3/2)), x)","F"
2016,0,-1,143,0.000000,"\text{Not used}","int(((2*x^4 + 1)^(2/3)*(2*x^4 - 3))/(x^3*(4*x^4 - x^3 + 2)),x)","\int \frac{{\left(2\,x^4+1\right)}^{2/3}\,\left(2\,x^4-3\right)}{x^3\,\left(4\,x^4-x^3+2\right)} \,d x","Not used",1,"int(((2*x^4 + 1)^(2/3)*(2*x^4 - 3))/(x^3*(4*x^4 - x^3 + 2)), x)","F"
2017,0,-1,143,0.000000,"\text{Not used}","int(-(b - a*x^3)/(x^6*(a*x^4 - b*x)^(1/4)*(b + a*x^3)),x)","\int -\frac{b-a\,x^3}{x^6\,{\left(a\,x^4-b\,x\right)}^{1/4}\,\left(a\,x^3+b\right)} \,d x","Not used",1,"int(-(b - a*x^3)/(x^6*(a*x^4 - b*x)^(1/4)*(b + a*x^3)), x)","F"
2018,0,-1,143,0.000000,"\text{Not used}","int(((x^3 - 1)^(2/3)*(4*x^3 + x^6 + 4))/(x^9*(x^3 + 1)),x)","\int \frac{{\left(x^3-1\right)}^{2/3}\,\left(x^6+4\,x^3+4\right)}{x^9\,\left(x^3+1\right)} \,d x","Not used",1,"int(((x^3 - 1)^(2/3)*(4*x^3 + x^6 + 4))/(x^9*(x^3 + 1)), x)","F"
2019,0,-1,143,0.000000,"\text{Not used}","int(-((x^3 + 1)^(2/3)*(2*x^3 - 2*x^6 + 1))/(x^9*(x^3 - 1)),x)","-\int \frac{{\left(x^3+1\right)}^{2/3}\,\left(-2\,x^6+2\,x^3+1\right)}{x^9\,\left(x^3-1\right)} \,d x","Not used",1,"-int(((x^3 + 1)^(2/3)*(2*x^3 - 2*x^6 + 1))/(x^9*(x^3 - 1)), x)","F"
2020,0,-1,143,0.000000,"\text{Not used}","int(-1/((a^4*x^4 - b^4)^(1/4)*(c*x^4 + b^8 - a^8*x^8)),x)","-\int \frac{1}{{\left(a^4\,x^4-b^4\right)}^{1/4}\,\left(-a^8\,x^8+b^8+c\,x^4\right)} \,d x","Not used",1,"-int(1/((a^4*x^4 - b^4)^(1/4)*(c*x^4 + b^8 - a^8*x^8)), x)","F"
2021,0,-1,143,0.000000,"\text{Not used}","int(-1/((a^4*x^4 - b^4)^(1/4)*(c*x^4 + b^8 - a^8*x^8)),x)","-\int \frac{1}{{\left(a^4\,x^4-b^4\right)}^{1/4}\,\left(-a^8\,x^8+b^8+c\,x^4\right)} \,d x","Not used",1,"-int(1/((a^4*x^4 - b^4)^(1/4)*(c*x^4 + b^8 - a^8*x^8)), x)","F"
2022,0,-1,143,0.000000,"\text{Not used}","int((x - (x^2 + 1)^(1/2))/((x^2 + 1)^(1/2) + 1)^(1/2),x)","\int \frac{x-\sqrt{x^2+1}}{\sqrt{\sqrt{x^2+1}+1}} \,d x","Not used",1,"int((x - (x^2 + 1)^(1/2))/((x^2 + 1)^(1/2) + 1)^(1/2), x)","F"
2023,0,-1,144,0.000000,"\text{Not used}","int(((x^3 - 1)^(2/3)*(x^3 - 2)*(x^3 - 4))/(x^9*(3*x^3 - 2)),x)","\int \frac{{\left(x^3-1\right)}^{2/3}\,\left(x^3-2\right)\,\left(x^3-4\right)}{x^9\,\left(3\,x^3-2\right)} \,d x","Not used",1,"int(((x^3 - 1)^(2/3)*(x^3 - 2)*(x^3 - 4))/(x^9*(3*x^3 - 2)), x)","F"
2024,0,-1,144,0.000000,"\text{Not used}","int(1/((x - 1)*(x^4 - 3*x^3 - 2*x^2)^(3/2)),x)","\int \frac{1}{\left(x-1\right)\,{\left(x^4-3\,x^3-2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(1/((x - 1)*(x^4 - 3*x^3 - 2*x^2)^(3/2)), x)","F"
2025,0,-1,144,0.000000,"\text{Not used}","int(1/((b*x + a*x^4)^(1/4)*(b + 2*a*x^3)),x)","\int \frac{1}{{\left(a\,x^4+b\,x\right)}^{1/4}\,\left(2\,a\,x^3+b\right)} \,d x","Not used",1,"int(1/((b*x + a*x^4)^(1/4)*(b + 2*a*x^3)), x)","F"
2026,0,-1,144,0.000000,"\text{Not used}","int(-((4*x^7 + 3)*(x^3 + 2*x^7 - 2))/(x^2*(1 - x^7)^(2/3)*(x^3 + 4*x^7 - 4)),x)","\int -\frac{\left(4\,x^7+3\right)\,\left(2\,x^7+x^3-2\right)}{x^2\,{\left(1-x^7\right)}^{2/3}\,\left(4\,x^7+x^3-4\right)} \,d x","Not used",1,"int(-((4*x^7 + 3)*(x^3 + 2*x^7 - 2))/(x^2*(1 - x^7)^(2/3)*(x^3 + 4*x^7 - 4)), x)","F"
2027,1,202,144,1.036650,"\text{Not used}","int(((x^2 - 1)*(x^2 + 1)^3*((x^2 + 1)^2)^(1/2))/((x^4 + 1)*(x^4 - x^2 - x^6 + x^8 + 1)),x)","2\,\sqrt{2}\,\mathrm{atanh}\left(\frac{420500000\,\sqrt{2}\,x}{420500000\,x^2+420500000}\right)+\frac{\sqrt{2}\,\mathrm{atanh}\left(\frac{2125000\,\sqrt{2}\,x\,\sqrt{\sqrt{5}+5}}{1810000\,\sqrt{5}+1810000\,\sqrt{5}\,x^2-4250000\,x^2-4250000}-\frac{905000\,\sqrt{2}\,\sqrt{5}\,x\,\sqrt{\sqrt{5}+5}}{1810000\,\sqrt{5}+1810000\,\sqrt{5}\,x^2-4250000\,x^2-4250000}\right)\,\sqrt{\sqrt{5}+5}}{2}-\frac{\sqrt{2}\,\mathrm{atanh}\left(\frac{2125000\,\sqrt{2}\,x\,\sqrt{5-\sqrt{5}}}{1810000\,\sqrt{5}+1810000\,\sqrt{5}\,x^2+4250000\,x^2+4250000}+\frac{905000\,\sqrt{2}\,\sqrt{5}\,x\,\sqrt{5-\sqrt{5}}}{1810000\,\sqrt{5}+1810000\,\sqrt{5}\,x^2+4250000\,x^2+4250000}\right)\,\sqrt{5-\sqrt{5}}}{2}","Not used",1,"2*2^(1/2)*atanh((420500000*2^(1/2)*x)/(420500000*x^2 + 420500000)) + (2^(1/2)*atanh((2125000*2^(1/2)*x*(5^(1/2) + 5)^(1/2))/(1810000*5^(1/2) + 1810000*5^(1/2)*x^2 - 4250000*x^2 - 4250000) - (905000*2^(1/2)*5^(1/2)*x*(5^(1/2) + 5)^(1/2))/(1810000*5^(1/2) + 1810000*5^(1/2)*x^2 - 4250000*x^2 - 4250000))*(5^(1/2) + 5)^(1/2))/2 - (2^(1/2)*atanh((2125000*2^(1/2)*x*(5 - 5^(1/2))^(1/2))/(1810000*5^(1/2) + 1810000*5^(1/2)*x^2 + 4250000*x^2 + 4250000) + (905000*2^(1/2)*5^(1/2)*x*(5 - 5^(1/2))^(1/2))/(1810000*5^(1/2) + 1810000*5^(1/2)*x^2 + 4250000*x^2 + 4250000))*(5 - 5^(1/2))^(1/2))/2","B"
2028,0,-1,144,0.000000,"\text{Not used}","int(1/(x^2*(b + (a*x^2 + b^2)^(1/2))^(1/2)),x)","\int \frac{1}{x^2\,\sqrt{b+\sqrt{b^2+a\,x^2}}} \,d x","Not used",1,"int(1/(x^2*(b + (a*x^2 + b^2)^(1/2))^(1/2)), x)","F"
2029,1,64,145,1.020690,"\text{Not used}","int((a*x^3 - b)^(1/4)/x,x)","\frac{4\,{\left(a\,x^3-b\right)}^{1/4}}{3}-\frac{2\,{\left(-b\right)}^{1/4}\,\mathrm{atan}\left(\frac{{\left(a\,x^3-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)}{3}-\frac{2\,{\left(-b\right)}^{1/4}\,\mathrm{atanh}\left(\frac{{\left(a\,x^3-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)}{3}","Not used",1,"(4*(a*x^3 - b)^(1/4))/3 - (2*(-b)^(1/4)*atan((a*x^3 - b)^(1/4)/(-b)^(1/4)))/3 - (2*(-b)^(1/4)*atanh((a*x^3 - b)^(1/4)/(-b)^(1/4)))/3","B"
2030,1,64,145,0.994084,"\text{Not used}","int((a*x^3 - b)^(3/4)/x,x)","\frac{4\,{\left(a\,x^3-b\right)}^{3/4}}{9}+\frac{2\,{\left(-b\right)}^{3/4}\,\mathrm{atan}\left(\frac{{\left(a\,x^3-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)}{3}-\frac{2\,{\left(-b\right)}^{3/4}\,\mathrm{atanh}\left(\frac{{\left(a\,x^3-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)}{3}","Not used",1,"(4*(a*x^3 - b)^(3/4))/9 + (2*(-b)^(3/4)*atan((a*x^3 - b)^(1/4)/(-b)^(1/4)))/3 - (2*(-b)^(3/4)*atanh((a*x^3 - b)^(1/4)/(-b)^(1/4)))/3","B"
2031,0,-1,145,0.000000,"\text{Not used}","int(((x^4 - 1)^(2/3)*(x^4 + 3)*(x^3 - x^4 + 1))/(x^6*(x^3 - 2*x^4 + 2)),x)","\int \frac{{\left(x^4-1\right)}^{2/3}\,\left(x^4+3\right)\,\left(-x^4+x^3+1\right)}{x^6\,\left(-2\,x^4+x^3+2\right)} \,d x","Not used",1,"int(((x^4 - 1)^(2/3)*(x^4 + 3)*(x^3 - x^4 + 1))/(x^6*(x^3 - 2*x^4 + 2)), x)","F"
2032,1,64,145,1.022768,"\text{Not used}","int((a*x^4 - b)^(3/4)/x,x)","\frac{{\left(a\,x^4-b\right)}^{3/4}}{3}+\frac{{\left(-b\right)}^{3/4}\,\mathrm{atan}\left(\frac{{\left(a\,x^4-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)}{2}-\frac{{\left(-b\right)}^{3/4}\,\mathrm{atanh}\left(\frac{{\left(a\,x^4-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)}{2}","Not used",1,"(a*x^4 - b)^(3/4)/3 + ((-b)^(3/4)*atan((a*x^4 - b)^(1/4)/(-b)^(1/4)))/2 - ((-b)^(3/4)*atanh((a*x^4 - b)^(1/4)/(-b)^(1/4)))/2","B"
2033,0,-1,145,0.000000,"\text{Not used}","int(-(3*a*b^3 - x^4 - 2*b^2*x*(3*a + b) + 3*b*x^2*(a + b))/((x*(a - x)*(b - x)^3)^(1/4)*(d*x^4 - x^3*(a*d + 3*b*d + 1) + a*b^3*d + 3*b*d*x^2*(a + b) - b^2*d*x*(3*a + b))),x)","\int -\frac{3\,a\,b^3-x^4-2\,b^2\,x\,\left(3\,a+b\right)+3\,b\,x^2\,\left(a+b\right)}{{\left(x\,\left(a-x\right)\,{\left(b-x\right)}^3\right)}^{1/4}\,\left(d\,x^4-x^3\,\left(a\,d+3\,b\,d+1\right)+a\,b^3\,d+3\,b\,d\,x^2\,\left(a+b\right)-b^2\,d\,x\,\left(3\,a+b\right)\right)} \,d x","Not used",1,"int(-(3*a*b^3 - x^4 - 2*b^2*x*(3*a + b) + 3*b*x^2*(a + b))/((x*(a - x)*(b - x)^3)^(1/4)*(d*x^4 - x^3*(a*d + 3*b*d + 1) + a*b^3*d + 3*b*d*x^2*(a + b) - b^2*d*x*(3*a + b))), x)","F"
2034,1,64,145,1.229634,"\text{Not used}","int((a*x^5 - b)^(3/4)/x,x)","\frac{4\,{\left(a\,x^5-b\right)}^{3/4}}{15}+\frac{2\,{\left(-b\right)}^{3/4}\,\mathrm{atan}\left(\frac{{\left(a\,x^5-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)}{5}-\frac{2\,{\left(-b\right)}^{3/4}\,\mathrm{atanh}\left(\frac{{\left(a\,x^5-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)}{5}","Not used",1,"(4*(a*x^5 - b)^(3/4))/15 + (2*(-b)^(3/4)*atan((a*x^5 - b)^(1/4)/(-b)^(1/4)))/5 - (2*(-b)^(3/4)*atanh((a*x^5 - b)^(1/4)/(-b)^(1/4)))/5","B"
2035,0,-1,145,0.000000,"\text{Not used}","int(((x^3 - 1)^(2/3)*(x^3 + x^6 + 4))/(x^9*(x^3 - 2)),x)","\int \frac{{\left(x^3-1\right)}^{2/3}\,\left(x^6+x^3+4\right)}{x^9\,\left(x^3-2\right)} \,d x","Not used",1,"int(((x^3 - 1)^(2/3)*(x^3 + x^6 + 4))/(x^9*(x^3 - 2)), x)","F"
2036,0,-1,145,0.000000,"\text{Not used}","int(-(4*x - 3*x^6 + 3)/((2*x + x^6 + 1)*(2*x + 2*x^3 + x^6 + 1)^(1/3)),x)","\int -\frac{-3\,x^6+4\,x+3}{\left(x^6+2\,x+1\right)\,{\left(x^6+2\,x^3+2\,x+1\right)}^{1/3}} \,d x","Not used",1,"int(-(4*x - 3*x^6 + 3)/((2*x + x^6 + 1)*(2*x + 2*x^3 + x^6 + 1)^(1/3)), x)","F"
2037,1,64,145,1.021108,"\text{Not used}","int((a*x^6 - b)^(3/4)/x,x)","\frac{2\,{\left(a\,x^6-b\right)}^{3/4}}{9}+\frac{{\left(-b\right)}^{3/4}\,\mathrm{atan}\left(\frac{{\left(a\,x^6-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)}{3}-\frac{{\left(-b\right)}^{3/4}\,\mathrm{atanh}\left(\frac{{\left(a\,x^6-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)}{3}","Not used",1,"(2*(a*x^6 - b)^(3/4))/9 + ((-b)^(3/4)*atan((a*x^6 - b)^(1/4)/(-b)^(1/4)))/3 - ((-b)^(3/4)*atanh((a*x^6 - b)^(1/4)/(-b)^(1/4)))/3","B"
2038,0,-1,145,0.000000,"\text{Not used}","int((b + a*x^6)/(x^3 - x)^(1/3),x)","\int \frac{a\,x^6+b}{{\left(x^3-x\right)}^{1/3}} \,d x","Not used",1,"int((b + a*x^6)/(x^3 - x)^(1/3), x)","F"
2039,0,-1,145,0.000000,"\text{Not used}","int((a*x^2 + b*x*((a^2*x^2)/b^2 - a/b^2)^(1/2))^(1/4)/((a^2*x^2)/b^2 - a/b^2)^(1/2),x)","\int \frac{{\left(a\,x^2+b\,x\,\sqrt{\frac{a^2\,x^2}{b^2}-\frac{a}{b^2}}\right)}^{1/4}}{\sqrt{\frac{a^2\,x^2}{b^2}-\frac{a}{b^2}}} \,d x","Not used",1,"int((a*x^2 + b*x*((a^2*x^2)/b^2 - a/b^2)^(1/2))^(1/4)/((a^2*x^2)/b^2 - a/b^2)^(1/2), x)","F"
2040,0,-1,146,0.000000,"\text{Not used}","int(1/((a + x*(d - 1))*(-x^2*(a - x))^(1/3)),x)","\int \frac{1}{\left(a+x\,\left(d-1\right)\right)\,{\left(-x^2\,\left(a-x\right)\right)}^{1/3}} \,d x","Not used",1,"int(1/((a + x*(d - 1))*(-x^2*(a - x))^(1/3)), x)","F"
2041,0,-1,146,0.000000,"\text{Not used}","int(((2*x + x^4 + 6)*(x - x^3 - x^4 + 2)^(5/3))/(x^6*(x - 2*x^3 - x^4 + 2)),x)","\int \frac{\left(x^4+2\,x+6\right)\,{\left(-x^4-x^3+x+2\right)}^{5/3}}{x^6\,\left(-x^4-2\,x^3+x+2\right)} \,d x","Not used",1,"int(((2*x + x^4 + 6)*(x - x^3 - x^4 + 2)^(5/3))/(x^6*(x - 2*x^3 - x^4 + 2)), x)","F"
2042,0,-1,146,0.000000,"\text{Not used}","int(((x^4 + 1)^(2/3)*(x^4 - 3)*(x^3 + 2*x^4 + 2))/(x^6*(4*x^4 - x^3 + 4)),x)","\int \frac{{\left(x^4+1\right)}^{2/3}\,\left(x^4-3\right)\,\left(2\,x^4+x^3+2\right)}{x^6\,\left(4\,x^4-x^3+4\right)} \,d x","Not used",1,"int(((x^4 + 1)^(2/3)*(x^4 - 3)*(x^3 + 2*x^4 + 2))/(x^6*(4*x^4 - x^3 + 4)), x)","F"
2043,0,-1,146,0.000000,"\text{Not used}","int(-((x^4 - 2*x^6 + 1)*(x - x^5 + x^7)^(1/3))/(x^2 - x^4 + x^6 + 1)^2,x)","\int -\frac{\left(-2\,x^6+x^4+1\right)\,{\left(x^7-x^5+x\right)}^{1/3}}{{\left(x^6-x^4+x^2+1\right)}^2} \,d x","Not used",1,"int(-((x^4 - 2*x^6 + 1)*(x - x^5 + x^7)^(1/3))/(x^2 - x^4 + x^6 + 1)^2, x)","F"
2044,0,-1,146,0.000000,"\text{Not used}","int((x^4*(4*b - a*x^3))/((a*x^3 - b)^(1/4)*(b^2 - x^8 + a^2*x^6 - 2*a*b*x^3)),x)","-\int -\frac{x^4\,\left(4\,b-a\,x^3\right)}{{\left(a\,x^3-b\right)}^{1/4}\,\left(a^2\,x^6-2\,a\,b\,x^3+b^2-x^8\right)} \,d x","Not used",1,"-int(-(x^4*(4*b - a*x^3))/((a*x^3 - b)^(1/4)*(b^2 - x^8 + a^2*x^6 - 2*a*b*x^3)), x)","F"
2045,0,-1,146,0.000000,"\text{Not used}","int(((x^2 - 1)^(1/2)*(x*(x^2 - 1)^(1/2) + x^2)^(1/2))/(x^2 + 1),x)","\int \frac{\sqrt{x^2-1}\,\sqrt{x\,\sqrt{x^2-1}+x^2}}{x^2+1} \,d x","Not used",1,"int(((x^2 - 1)^(1/2)*(x*(x^2 - 1)^(1/2) + x^2)^(1/2))/(x^2 + 1), x)","F"
2046,0,-1,147,0.000000,"\text{Not used}","int(x/((a + x*(d - 1))*(-x^2*(a - x))^(2/3)),x)","\int \frac{x}{\left(a+x\,\left(d-1\right)\right)\,{\left(-x^2\,\left(a-x\right)\right)}^{2/3}} \,d x","Not used",1,"int(x/((a + x*(d - 1))*(-x^2*(a - x))^(2/3)), x)","F"
2047,0,-1,147,0.000000,"\text{Not used}","int((x + x^2 + 2)/((x^2 + x^3)^(1/3)*(2*x + x^2 + 3)),x)","\int \frac{x^2+x+2}{{\left(x^3+x^2\right)}^{1/3}\,\left(x^2+2\,x+3\right)} \,d x","Not used",1,"int((x + x^2 + 2)/((x^2 + x^3)^(1/3)*(2*x + x^2 + 3)), x)","F"
2048,0,-1,147,0.000000,"\text{Not used}","int((x + x^2 + 2)/((x^2 + x^3)^(1/3)*(2*x + x^2 + 3)),x)","\int \frac{x^2+x+2}{{\left(x^3+x^2\right)}^{1/3}\,\left(x^2+2\,x+3\right)} \,d x","Not used",1,"int((x + x^2 + 2)/((x^2 + x^3)^(1/3)*(2*x + x^2 + 3)), x)","F"
2049,-1,-1,147,0.000000,"\text{Not used}","int(-(b - c*x + a*x^2)/((b*x + a*x^3)^(1/2)*(b - a*x^2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
2050,-1,-1,147,0.000000,"\text{Not used}","int(-(b + c*x + a*x^2)/((b*x + a*x^3)^(1/2)*(b - a*x^2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
2051,0,-1,147,0.000000,"\text{Not used}","int(((x^4 - x^3)^(1/4)*(x + 1))/(x^2 - x + 1),x)","\int \frac{{\left(x^4-x^3\right)}^{1/4}\,\left(x+1\right)}{x^2-x+1} \,d x","Not used",1,"int(((x^4 - x^3)^(1/4)*(x + 1))/(x^2 - x + 1), x)","F"
2052,0,-1,147,0.000000,"\text{Not used}","int(((x^4 - x^3)^(1/4)*(x + 1))/(x^2 - x + 1),x)","\int \frac{{\left(x^4-x^3\right)}^{1/4}\,\left(x+1\right)}{x^2-x+1} \,d x","Not used",1,"int(((x^4 - x^3)^(1/4)*(x + 1))/(x^2 - x + 1), x)","F"
2053,0,-1,147,0.000000,"\text{Not used}","int(((b + a*x^6)*(b - a*x^6)^(1/3))/(x^2*(a*x^6 - b + c*x^3)),x)","\int \frac{\left(a\,x^6+b\right)\,{\left(b-a\,x^6\right)}^{1/3}}{x^2\,\left(a\,x^6+c\,x^3-b\right)} \,d x","Not used",1,"int(((b + a*x^6)*(b - a*x^6)^(1/3))/(x^2*(a*x^6 - b + c*x^3)), x)","F"
2054,0,-1,147,0.000000,"\text{Not used}","int((x^2*(7*x^3 + 4))/((x + x^4)^(1/3)*(x^4 + x^7 - 1)),x)","\int \frac{x^2\,\left(7\,x^3+4\right)}{{\left(x^4+x\right)}^{1/3}\,\left(x^7+x^4-1\right)} \,d x","Not used",1,"int((x^2*(7*x^3 + 4))/((x + x^4)^(1/3)*(x^4 + x^7 - 1)), x)","F"
2055,0,-1,147,0.000000,"\text{Not used}","int(-(2*d + c*x^4)/((a*x^4 - b)^(1/4)*(2*f - e*x^8)),x)","\int -\frac{c\,x^4+2\,d}{{\left(a\,x^4-b\right)}^{1/4}\,\left(2\,f-e\,x^8\right)} \,d x","Not used",1,"int(-(2*d + c*x^4)/((a*x^4 - b)^(1/4)*(2*f - e*x^8)), x)","F"
2056,0,-1,147,0.000000,"\text{Not used}","int(((x^2 + 1)*(x + 1)^(1/2))/((x + (x + 1)^(1/2))^(1/2)*(x^2 - 1)),x)","\int \frac{\left(x^2+1\right)\,\sqrt{x+1}}{\sqrt{x+\sqrt{x+1}}\,\left(x^2-1\right)} \,d x","Not used",1,"int(((x^2 + 1)*(x + 1)^(1/2))/((x + (x + 1)^(1/2))^(1/2)*(x^2 - 1)), x)","F"
2057,0,-1,147,0.000000,"\text{Not used}","int(((x^2 + 1)*(x + 1)^(1/2))/((x + (x + 1)^(1/2))^(1/2)*(x^2 - 1)),x)","\int \frac{\left(x^2+1\right)\,\sqrt{x+1}}{\sqrt{x+\sqrt{x+1}}\,\left(x^2-1\right)} \,d x","Not used",1,"int(((x^2 + 1)*(x + 1)^(1/2))/((x + (x + 1)^(1/2))^(1/2)*(x^2 - 1)), x)","F"
2058,0,-1,147,0.000000,"\text{Not used}","int((x - (x^2 - 1)^(1/2))^(1/2)/x^2,x)","\int \frac{\sqrt{x-\sqrt{x^2-1}}}{x^2} \,d x","Not used",1,"int((x - (x^2 - 1)^(1/2))^(1/2)/x^2, x)","F"
2059,0,-1,147,0.000000,"\text{Not used}","int((a*x + (a^2*x^2 - b*x)^(1/2))^(3/4)/(a^2*x^2 - b*x)^(1/2),x)","\int \frac{{\left(a\,x+\sqrt{a^2\,x^2-b\,x}\right)}^{3/4}}{\sqrt{a^2\,x^2-b\,x}} \,d x","Not used",1,"int((a*x + (a^2*x^2 - b*x)^(1/2))^(3/4)/(a^2*x^2 - b*x)^(1/2), x)","F"
2060,0,-1,148,0.000000,"\text{Not used}","int(((x^3 + x^4)^(1/4)*(x + 1))/(x*(x^3 - 1)),x)","\int \frac{{\left(x^4+x^3\right)}^{1/4}\,\left(x+1\right)}{x\,\left(x^3-1\right)} \,d x","Not used",1,"int(((x^3 + x^4)^(1/4)*(x + 1))/(x*(x^3 - 1)), x)","F"
2061,1,111,148,1.845814,"\text{Not used}","int(-((d - c*x^4)*(a*x^4 - b*x^3)^(1/4))/x^4,x)","\frac{4\,d\,{\left(a\,x^4-b\,x^3\right)}^{1/4}}{9\,x^3}-\frac{16\,a^2\,d\,{\left(a\,x^4-b\,x^3\right)}^{1/4}}{45\,b^2\,x}+\frac{4\,c\,x\,{\left(a\,x^4-b\,x^3\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{4},\frac{7}{4};\ \frac{11}{4};\ \frac{a\,x}{b}\right)}{7\,{\left(1-\frac{a\,x}{b}\right)}^{1/4}}-\frac{4\,a\,d\,{\left(a\,x^4-b\,x^3\right)}^{1/4}}{45\,b\,x^2}","Not used",1,"(4*d*(a*x^4 - b*x^3)^(1/4))/(9*x^3) - (16*a^2*d*(a*x^4 - b*x^3)^(1/4))/(45*b^2*x) + (4*c*x*(a*x^4 - b*x^3)^(1/4)*hypergeom([-1/4, 7/4], 11/4, (a*x)/b))/(7*(1 - (a*x)/b)^(1/4)) - (4*a*d*(a*x^4 - b*x^3)^(1/4))/(45*b*x^2)","B"
2062,0,-1,149,0.000000,"\text{Not used}","int(((x^3 + 1)^(2/3)*(x^3 + 2))/(x^6*(x^3 + 4)),x)","\int \frac{{\left(x^3+1\right)}^{2/3}\,\left(x^3+2\right)}{x^6\,\left(x^3+4\right)} \,d x","Not used",1,"int(((x^3 + 1)^(2/3)*(x^3 + 2))/(x^6*(x^3 + 4)), x)","F"
2063,0,-1,149,0.000000,"\text{Not used}","int(((x^3 - 1)*(3*x^3 + 1)^(2/3))/(x^6*(x^3 + 1)),x)","\int \frac{\left(x^3-1\right)\,{\left(3\,x^3+1\right)}^{2/3}}{x^6\,\left(x^3+1\right)} \,d x","Not used",1,"int(((x^3 - 1)*(3*x^3 + 1)^(2/3))/(x^6*(x^3 + 1)), x)","F"
2064,0,-1,149,0.000000,"\text{Not used}","int(-(8*x - 8*x^2 + 12*x^4 - 3)/(x*(2*x^2 + 1)*(-(2*x^2 - 1)/(2*x^2 + 1))^(1/3)*(7*x^2 - 7*x - 6*x^3 + 2*x^4 + 3)),x)","-\int \frac{12\,x^4-8\,x^2+8\,x-3}{x\,\left(2\,x^2+1\right)\,{\left(-\frac{2\,x^2-1}{2\,x^2+1}\right)}^{1/3}\,\left(2\,x^4-6\,x^3+7\,x^2-7\,x+3\right)} \,d x","Not used",1,"-int((8*x - 8*x^2 + 12*x^4 - 3)/(x*(2*x^2 + 1)*(-(2*x^2 - 1)/(2*x^2 + 1))^(1/3)*(7*x^2 - 7*x - 6*x^3 + 2*x^4 + 3)), x)","F"
2065,-1,-1,149,0.000000,"\text{Not used}","int(-x^2/((b^2 - a^2*x^4)*(b*x + a*x^3)^(1/2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
2066,0,-1,149,0.000000,"\text{Not used}","int(-(b + a*x^6)/(x^6*(b*x + a*x^4)^(1/4)*(b - a*x^3)),x)","-\int \frac{a\,x^6+b}{x^6\,{\left(a\,x^4+b\,x\right)}^{1/4}\,\left(b-a\,x^3\right)} \,d x","Not used",1,"-int((b + a*x^6)/(x^6*(b*x + a*x^4)^(1/4)*(b - a*x^3)), x)","F"
2067,0,-1,149,0.000000,"\text{Not used}","int(((5*x^8 + 3)*(2*x^3 + x^8 - 1)^(1/3))/(x^2*(x^8 - 1)),x)","\int \frac{\left(5\,x^8+3\right)\,{\left(x^8+2\,x^3-1\right)}^{1/3}}{x^2\,\left(x^8-1\right)} \,d x","Not used",1,"int(((5*x^8 + 3)*(2*x^3 + x^8 - 1)^(1/3))/(x^2*(x^8 - 1)), x)","F"
2068,0,-1,149,0.000000,"\text{Not used}","int((a*x^2 + b^2)^(1/2)/(b + (a*x^2 + b^2)^(1/2))^(1/2),x)","\int \frac{\sqrt{b^2+a\,x^2}}{\sqrt{b+\sqrt{b^2+a\,x^2}}} \,d x","Not used",1,"int((a*x^2 + b^2)^(1/2)/(b + (a*x^2 + b^2)^(1/2))^(1/2), x)","F"
2069,0,-1,149,0.000000,"\text{Not used}","int((b + (a*x^2 + b^2)^(1/2))^(1/2)/(a*x^2 + b^2)^3,x)","\int \frac{\sqrt{b+\sqrt{b^2+a\,x^2}}}{{\left(b^2+a\,x^2\right)}^3} \,d x","Not used",1,"int((b + (a*x^2 + b^2)^(1/2))^(1/2)/(a*x^2 + b^2)^3, x)","F"
2070,1,69,150,1.168833,"\text{Not used}","int((a*x^2 - b)^(3/4)/x^3,x)","\frac{3\,a\,\mathrm{atan}\left(\frac{{\left(a\,x^2-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)}{4\,{\left(-b\right)}^{1/4}}-\frac{{\left(a\,x^2-b\right)}^{3/4}}{2\,x^2}-\frac{3\,a\,\mathrm{atanh}\left(\frac{{\left(a\,x^2-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)}{4\,{\left(-b\right)}^{1/4}}","Not used",1,"(3*a*atan((a*x^2 - b)^(1/4)/(-b)^(1/4)))/(4*(-b)^(1/4)) - (a*x^2 - b)^(3/4)/(2*x^2) - (3*a*atanh((a*x^2 - b)^(1/4)/(-b)^(1/4)))/(4*(-b)^(1/4))","B"
2071,0,-1,150,0.000000,"\text{Not used}","int(((x^3 + 1)*(2*x^3 - 1)^(2/3))/(x^6*(2*x^3 + 1)),x)","\int \frac{\left(x^3+1\right)\,{\left(2\,x^3-1\right)}^{2/3}}{x^6\,\left(2\,x^3+1\right)} \,d x","Not used",1,"int(((x^3 + 1)*(2*x^3 - 1)^(2/3))/(x^6*(2*x^3 + 1)), x)","F"
2072,0,-1,150,0.000000,"\text{Not used}","int(((1 - x^3)^(2/3)*(4*x^3 - 1))/(x^6*(3*x^3 - 2)),x)","\int \frac{{\left(1-x^3\right)}^{2/3}\,\left(4\,x^3-1\right)}{x^6\,\left(3\,x^3-2\right)} \,d x","Not used",1,"int(((1 - x^3)^(2/3)*(4*x^3 - 1))/(x^6*(3*x^3 - 2)), x)","F"
2073,1,69,150,1.183564,"\text{Not used}","int((a*x^3 - b)^(1/4)/x^4,x)","-\frac{{\left(a\,x^3-b\right)}^{1/4}}{3\,x^3}-\frac{a\,\mathrm{atan}\left(\frac{{\left(a\,x^3-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)}{6\,{\left(-b\right)}^{3/4}}-\frac{a\,\mathrm{atanh}\left(\frac{{\left(a\,x^3-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)}{6\,{\left(-b\right)}^{3/4}}","Not used",1,"- (a*x^3 - b)^(1/4)/(3*x^3) - (a*atan((a*x^3 - b)^(1/4)/(-b)^(1/4)))/(6*(-b)^(3/4)) - (a*atanh((a*x^3 - b)^(1/4)/(-b)^(1/4)))/(6*(-b)^(3/4))","B"
2074,1,69,150,1.107511,"\text{Not used}","int((a*x^3 - b)^(3/4)/x^4,x)","\frac{a\,\mathrm{atan}\left(\frac{{\left(a\,x^3-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)}{2\,{\left(-b\right)}^{1/4}}-\frac{{\left(a\,x^3-b\right)}^{3/4}}{3\,x^3}-\frac{a\,\mathrm{atanh}\left(\frac{{\left(a\,x^3-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)}{2\,{\left(-b\right)}^{1/4}}","Not used",1,"(a*atan((a*x^3 - b)^(1/4)/(-b)^(1/4)))/(2*(-b)^(1/4)) - (a*x^3 - b)^(3/4)/(3*x^3) - (a*atanh((a*x^3 - b)^(1/4)/(-b)^(1/4)))/(2*(-b)^(1/4))","B"
2075,0,-1,150,0.000000,"\text{Not used}","int(-((a - x)*(3*a*b - x*(a + 2*b))*(3*b*x^2 - 3*b^2*x + b^3 - x^3))/(x*(-x*(a - x)*(b - x)^2)^(3/4)*(a*b^2 + x^2*(a + 2*b) + x^3*(d - 1) - b*x*(2*a + b))),x)","\int -\frac{\left(a-x\right)\,\left(3\,a\,b-x\,\left(a+2\,b\right)\right)\,\left(b^3-3\,b^2\,x+3\,b\,x^2-x^3\right)}{x\,{\left(-x\,\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{3/4}\,\left(a\,b^2+x^2\,\left(a+2\,b\right)+x^3\,\left(d-1\right)-b\,x\,\left(2\,a+b\right)\right)} \,d x","Not used",1,"int(-((a - x)*(3*a*b - x*(a + 2*b))*(3*b*x^2 - 3*b^2*x + b^3 - x^3))/(x*(-x*(a - x)*(b - x)^2)^(3/4)*(a*b^2 + x^2*(a + 2*b) + x^3*(d - 1) - b*x*(2*a + b))), x)","F"
2076,1,69,150,1.200073,"\text{Not used}","int((a*x^5 - b)^(3/4)/x^6,x)","\frac{3\,a\,\mathrm{atan}\left(\frac{{\left(a\,x^5-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)}{10\,{\left(-b\right)}^{1/4}}-\frac{{\left(a\,x^5-b\right)}^{3/4}}{5\,x^5}-\frac{3\,a\,\mathrm{atanh}\left(\frac{{\left(a\,x^5-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)}{10\,{\left(-b\right)}^{1/4}}","Not used",1,"(3*a*atan((a*x^5 - b)^(1/4)/(-b)^(1/4)))/(10*(-b)^(1/4)) - (a*x^5 - b)^(3/4)/(5*x^5) - (3*a*atanh((a*x^5 - b)^(1/4)/(-b)^(1/4)))/(10*(-b)^(1/4))","B"
2077,1,69,150,1.239873,"\text{Not used}","int((a*x^6 - b)^(3/4)/x^7,x)","\frac{a\,\mathrm{atan}\left(\frac{{\left(a\,x^6-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)}{4\,{\left(-b\right)}^{1/4}}-\frac{{\left(a\,x^6-b\right)}^{3/4}}{6\,x^6}-\frac{a\,\mathrm{atanh}\left(\frac{{\left(a\,x^6-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)}{4\,{\left(-b\right)}^{1/4}}","Not used",1,"(a*atan((a*x^6 - b)^(1/4)/(-b)^(1/4)))/(4*(-b)^(1/4)) - (a*x^6 - b)^(3/4)/(6*x^6) - (a*atanh((a*x^6 - b)^(1/4)/(-b)^(1/4)))/(4*(-b)^(1/4))","B"
2078,0,-1,150,0.000000,"\text{Not used}","int(((5*x^7 - 4)*(2*x^3 - 2*x - x^8)^(1/3))/((x^7 + 2)*(x^7 - 2*x^2 + 2)),x)","\int \frac{\left(5\,x^7-4\right)\,{\left(-x^8+2\,x^3-2\,x\right)}^{1/3}}{\left(x^7+2\right)\,\left(x^7-2\,x^2+2\right)} \,d x","Not used",1,"int(((5*x^7 - 4)*(2*x^3 - 2*x - x^8)^(1/3))/((x^7 + 2)*(x^7 - 2*x^2 + 2)), x)","F"
2079,0,-1,150,0.000000,"\text{Not used}","int(-(b - 2*a*x^4 + 2*x^8)/((b + a*x^4)^(1/4)*(2*b + a*x^4 - x^8)),x)","\int -\frac{2\,x^8-2\,a\,x^4+b}{{\left(a\,x^4+b\right)}^{1/4}\,\left(-x^8+a\,x^4+2\,b\right)} \,d x","Not used",1,"int(-(b - 2*a*x^4 + 2*x^8)/((b + a*x^4)^(1/4)*(2*b + a*x^4 - x^8)), x)","F"
2080,0,-1,150,0.000000,"\text{Not used}","int((2*a*x^4 - b + 2*x^8)/((b + a*x^4)^(1/4)*(a*x^4 - b + x^8)),x)","\int \frac{2\,x^8+2\,a\,x^4-b}{{\left(a\,x^4+b\right)}^{1/4}\,\left(x^8+a\,x^4-b\right)} \,d x","Not used",1,"int((2*a*x^4 - b + 2*x^8)/((b + a*x^4)^(1/4)*(a*x^4 - b + x^8)), x)","F"
2081,0,-1,150,0.000000,"\text{Not used}","int((2*a*x^4 - b + 2*x^8)/((b + a*x^4)^(1/4)*(a*x^4 - b + x^8)),x)","\int \frac{2\,x^8+2\,a\,x^4-b}{{\left(a\,x^4+b\right)}^{1/4}\,\left(x^8+a\,x^4-b\right)} \,d x","Not used",1,"int((2*a*x^4 - b + 2*x^8)/((b + a*x^4)^(1/4)*(a*x^4 - b + x^8)), x)","F"
2082,0,-1,150,0.000000,"\text{Not used}","int(((b^4 + a^4*x^4)*(a^4*x^4 - b^4)^(1/2))/(b^8 + a^8*x^8),x)","\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","Not used",1,"int(((b^4 + a^4*x^4)*(a^4*x^4 - b^4)^(1/2))/(b^8 + a^8*x^8), x)","F"
2083,0,-1,150,0.000000,"\text{Not used}","int(-(b^8 - a^8*x^8)/((a^4*x^4 - b^4)^(1/2)*(b^8 + a^8*x^8)),x)","\int -\frac{b^8-a^8\,x^8}{\sqrt{a^4\,x^4-b^4}\,\left(a^8\,x^8+b^8\right)} \,d x","Not used",1,"int(-(b^8 - a^8*x^8)/((a^4*x^4 - b^4)^(1/2)*(b^8 + a^8*x^8)), x)","F"
2084,0,-1,150,0.000000,"\text{Not used}","int((x^3*(x + x^2)^(1/2))/(x^2 + x*(x + x^2)^(1/2))^(1/2),x)","\int \frac{x^3\,\sqrt{x^2+x}}{\sqrt{x^2+x\,\sqrt{x^2+x}}} \,d x","Not used",1,"int((x^3*(x + x^2)^(1/2))/(x^2 + x*(x + x^2)^(1/2))^(1/2), x)","F"
2085,1,78,151,1.235004,"\text{Not used}","int(((a*x^2 - b)^(3/4)*(3*b + 2*a*x^2))/x,x)","\frac{4\,{\left(a\,x^2-b\right)}^{7/4}}{7}-3\,{\left(-b\right)}^{7/4}\,\mathrm{atan}\left(\frac{{\left(a\,x^2-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)+3\,{\left(-b\right)}^{7/4}\,\mathrm{atanh}\left(\frac{{\left(a\,x^2-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)+2\,b\,{\left(a\,x^2-b\right)}^{3/4}","Not used",1,"(4*(a*x^2 - b)^(7/4))/7 - 3*(-b)^(7/4)*atan((a*x^2 - b)^(1/4)/(-b)^(1/4)) + 3*(-b)^(7/4)*atanh((a*x^2 - b)^(1/4)/(-b)^(1/4)) + 2*b*(a*x^2 - b)^(3/4)","B"
2086,0,-1,151,0.000000,"\text{Not used}","int(((x^2 - 6)*(x^3 - x^2 + 2)^(2/3))/(x^3*(x^2 + x^3 - 2)),x)","\int \frac{\left(x^2-6\right)\,{\left(x^3-x^2+2\right)}^{2/3}}{x^3\,\left(x^3+x^2-2\right)} \,d x","Not used",1,"int(((x^2 - 6)*(x^3 - x^2 + 2)^(2/3))/(x^3*(x^2 + x^3 - 2)), x)","F"
2087,0,-1,151,0.000000,"\text{Not used}","int(-(x^3*(4*a - 3*x))/((-x^2*(a - x))^(2/3)*(a*d - d*x + x^4)),x)","\int -\frac{x^3\,\left(4\,a-3\,x\right)}{{\left(-x^2\,\left(a-x\right)\right)}^{2/3}\,\left(x^4-d\,x+a\,d\right)} \,d x","Not used",1,"int(-(x^3*(4*a - 3*x))/((-x^2*(a - x))^(2/3)*(a*d - d*x + x^4)), x)","F"
2088,0,-1,151,0.000000,"\text{Not used}","int((k^4*x^4 - 1)/((k^4*x^4 + 1)*(x*(k^2*x - 1)*(x - 1))^(1/2)),x)","\int \frac{k^4\,x^4-1}{\left(k^4\,x^4+1\right)\,\sqrt{x\,\left(k^2\,x-1\right)\,\left(x-1\right)}} \,d x","Not used",1,"int((k^4*x^4 - 1)/((k^4*x^4 + 1)*(x*(k^2*x - 1)*(x - 1))^(1/2)), x)","F"
2089,0,-1,151,0.000000,"\text{Not used}","int(-(x^4 - 1)/((x^3 + x^5)^(1/4)*(x^4 + 1)),x)","-\int \frac{x^4-1}{{\left(x^5+x^3\right)}^{1/4}\,\left(x^4+1\right)} \,d x","Not used",1,"-int((x^4 - 1)/((x^3 + x^5)^(1/4)*(x^4 + 1)), x)","F"
2090,0,-1,151,0.000000,"\text{Not used}","int(((x^3 + 1)^(2/3)*(x^6 + 2))/(x^6*(x^3 - 1)^2),x)","\int \frac{{\left(x^3+1\right)}^{2/3}\,\left(x^6+2\right)}{x^6\,{\left(x^3-1\right)}^2} \,d x","Not used",1,"int(((x^3 + 1)^(2/3)*(x^6 + 2))/(x^6*(x^3 - 1)^2), x)","F"
2091,0,-1,151,0.000000,"\text{Not used}","int(((x^3 - 1)^(2/3)*(2*x^3 + x^6 - 2))/(x^6*(x^3 + 1)^2),x)","\int \frac{{\left(x^3-1\right)}^{2/3}\,\left(x^6+2\,x^3-2\right)}{x^6\,{\left(x^3+1\right)}^2} \,d x","Not used",1,"int(((x^3 - 1)^(2/3)*(2*x^3 + x^6 - 2))/(x^6*(x^3 + 1)^2), x)","F"
2092,0,-1,151,0.000000,"\text{Not used}","int(-((2*b + a*x^6)*(b - a*x^6 + c*x^4))/(x^2*(a*x^6 - b)^(3/4)*(a*x^6 - b + c*x^4)),x)","\int -\frac{\left(a\,x^6+2\,b\right)\,\left(-a\,x^6+c\,x^4+b\right)}{x^2\,{\left(a\,x^6-b\right)}^{3/4}\,\left(a\,x^6+c\,x^4-b\right)} \,d x","Not used",1,"int(-((2*b + a*x^6)*(b - a*x^6 + c*x^4))/(x^2*(a*x^6 - b)^(3/4)*(a*x^6 - b + c*x^4)), x)","F"
2093,0,-1,151,0.000000,"\text{Not used}","int((c + d*(b + a*x^2)^(1/2))^(1/2)/x,x)","\int \frac{\sqrt{c+d\,\sqrt{a\,x^2+b}}}{x} \,d x","Not used",1,"int((c + d*(b + a*x^2)^(1/2))^(1/2)/x, x)","F"
2094,0,-1,151,0.000000,"\text{Not used}","int(-(((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)*(b - a^2*x^4))/(b + a^2*x^4)^(1/2),x)","\int -\frac{\sqrt{\sqrt{a^2\,x^4+b}+a\,x^2}\,\left(b-a^2\,x^4\right)}{\sqrt{a^2\,x^4+b}} \,d x","Not used",1,"int(-(((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)*(b - a^2*x^4))/(b + a^2*x^4)^(1/2), x)","F"
2095,0,-1,151,0.000000,"\text{Not used}","int(((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)*(b + a^2*x^4)^(1/2),x)","\int \sqrt{\sqrt{a^2\,x^4+b}+a\,x^2}\,\sqrt{a^2\,x^4+b} \,d x","Not used",1,"int(((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)*(b + a^2*x^4)^(1/2), x)","F"
2096,0,-1,152,0.000000,"\text{Not used}","int(1/((2*b + a*x)*(a*x^3 + b*x^2)^(1/4)),x)","\int \frac{1}{\left(2\,b+a\,x\right)\,{\left(a\,x^3+b\,x^2\right)}^{1/4}} \,d x","Not used",1,"int(1/((2*b + a*x)*(a*x^3 + b*x^2)^(1/4)), x)","F"
2097,0,-1,152,0.000000,"\text{Not used}","int(-(x*(4*a - 3*x))/((-x^2*(a - x))^(1/3)*(a*d - d*x + x^4)),x)","\int -\frac{x\,\left(4\,a-3\,x\right)}{{\left(-x^2\,\left(a-x\right)\right)}^{1/3}\,\left(x^4-d\,x+a\,d\right)} \,d x","Not used",1,"int(-(x*(4*a - 3*x))/((-x^2*(a - x))^(1/3)*(a*d - d*x + x^4)), x)","F"
2098,0,-1,152,0.000000,"\text{Not used}","int(((a*x^5 - b)^(3/4)*(4*b + a*x^5))/(x^4*(a*x^5 - b + c*x^4)),x)","\int \frac{{\left(a\,x^5-b\right)}^{3/4}\,\left(a\,x^5+4\,b\right)}{x^4\,\left(a\,x^5+c\,x^4-b\right)} \,d x","Not used",1,"int(((a*x^5 - b)^(3/4)*(4*b + a*x^5))/(x^4*(a*x^5 - b + c*x^4)), x)","F"
2099,0,-1,152,0.000000,"\text{Not used}","int((x^8 + 1)^(3/4)/(x^8 - 1),x)","\int \frac{{\left(x^8+1\right)}^{3/4}}{x^8-1} \,d x","Not used",1,"int((x^8 + 1)^(3/4)/(x^8 - 1), x)","F"
2100,0,-1,152,0.000000,"\text{Not used}","int(x^4/((x^4 - 1)^(1/4)*(2*x^4 + x^8 - 1)),x)","\int \frac{x^4}{{\left(x^4-1\right)}^{1/4}\,\left(x^8+2\,x^4-1\right)} \,d x","Not used",1,"int(x^4/((x^4 - 1)^(1/4)*(2*x^4 + x^8 - 1)), x)","F"
2101,0,-1,152,0.000000,"\text{Not used}","int((x^4 - 1)^(3/4)/(2*x^4 + x^8 - 1),x)","\int \frac{{\left(x^4-1\right)}^{3/4}}{x^8+2\,x^4-1} \,d x","Not used",1,"int((x^4 - 1)^(3/4)/(2*x^4 + x^8 - 1), x)","F"
2102,0,-1,152,0.000000,"\text{Not used}","int((x^4 + 1)/((x^4 - 1)*((x^2 + 1)^(1/2) + 1)^(1/2)),x)","\int \frac{x^4+1}{\left(x^4-1\right)\,\sqrt{\sqrt{x^2+1}+1}} \,d x","Not used",1,"int((x^4 + 1)/((x^4 - 1)*((x^2 + 1)^(1/2) + 1)^(1/2)), x)","F"
2103,1,72,153,1.255093,"\text{Not used}","int(1/(x^3*(a*x^2 - b)^(3/4)),x)","\frac{{\left(a\,x^2-b\right)}^{1/4}}{2\,b\,x^2}+\frac{3\,a\,\mathrm{atan}\left(\frac{{\left(a\,x^2-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)}{4\,{\left(-b\right)}^{7/4}}+\frac{3\,a\,\mathrm{atanh}\left(\frac{{\left(a\,x^2-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)}{4\,{\left(-b\right)}^{7/4}}","Not used",1,"(a*x^2 - b)^(1/4)/(2*b*x^2) + (3*a*atan((a*x^2 - b)^(1/4)/(-b)^(1/4)))/(4*(-b)^(7/4)) + (3*a*atanh((a*x^2 - b)^(1/4)/(-b)^(1/4)))/(4*(-b)^(7/4))","B"
2104,0,-1,153,0.000000,"\text{Not used}","int((a*b - 2*b*x + x^2)/((x*(a - x)*(b - x)^3)^(1/4)*(b - x*(a*d + 1) + d*x^2)),x)","\int \frac{x^2-2\,b\,x+a\,b}{{\left(x\,\left(a-x\right)\,{\left(b-x\right)}^3\right)}^{1/4}\,\left(d\,x^2+\left(-a\,d-1\right)\,x+b\right)} \,d x","Not used",1,"int((a*b - 2*b*x + x^2)/((x*(a - x)*(b - x)^3)^(1/4)*(b - x*(a*d + 1) + d*x^2)), x)","F"
2105,1,72,153,1.348310,"\text{Not used}","int(1/(x^4*(a*x^3 - b)^(3/4)),x)","\frac{{\left(a\,x^3-b\right)}^{1/4}}{3\,b\,x^3}+\frac{a\,\mathrm{atan}\left(\frac{{\left(a\,x^3-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)}{2\,{\left(-b\right)}^{7/4}}+\frac{a\,\mathrm{atanh}\left(\frac{{\left(a\,x^3-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)}{2\,{\left(-b\right)}^{7/4}}","Not used",1,"(a*x^3 - b)^(1/4)/(3*b*x^3) + (a*atan((a*x^3 - b)^(1/4)/(-b)^(1/4)))/(2*(-b)^(7/4)) + (a*atanh((a*x^3 - b)^(1/4)/(-b)^(1/4)))/(2*(-b)^(7/4))","B"
2106,1,72,153,1.254622,"\text{Not used}","int(1/(x^4*(a*x^3 - b)^(1/4)),x)","\frac{{\left(a\,x^3-b\right)}^{3/4}}{3\,b\,x^3}-\frac{a\,\mathrm{atan}\left(\frac{{\left(a\,x^3-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)}{6\,{\left(-b\right)}^{5/4}}+\frac{a\,\mathrm{atanh}\left(\frac{{\left(a\,x^3-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)}{6\,{\left(-b\right)}^{5/4}}","Not used",1,"(a*x^3 - b)^(3/4)/(3*b*x^3) - (a*atan((a*x^3 - b)^(1/4)/(-b)^(1/4)))/(6*(-b)^(5/4)) + (a*atanh((a*x^3 - b)^(1/4)/(-b)^(1/4)))/(6*(-b)^(5/4))","B"
2107,0,-1,153,0.000000,"\text{Not used}","int(-((x + 2)*((x - 2*x^2 + 1)/(x + 4*x^2 + 1))^(1/4)*(x - x^2 + 1))/(2*x*(2*x + x^2 + x^4 + 1)),x)","\int -\frac{\left(x+2\right)\,{\left(\frac{-2\,x^2+x+1}{4\,x^2+x+1}\right)}^{1/4}\,\left(-x^2+x+1\right)}{2\,x\,\left(x^4+x^2+2\,x+1\right)} \,d x","Not used",1,"int(-((x + 2)*((x - 2*x^2 + 1)/(x + 4*x^2 + 1))^(1/4)*(x - x^2 + 1))/(2*x*(2*x + x^2 + x^4 + 1)), x)","F"
2108,0,-1,153,0.000000,"\text{Not used}","int((x^4 + 1)/((x^4 - 1)*(x^3 - x^2 - x + x^4 + 1)^(1/2)),x)","\int \frac{x^4+1}{\left(x^4-1\right)\,\sqrt{x^4+x^3-x^2-x+1}} \,d x","Not used",1,"int((x^4 + 1)/((x^4 - 1)*(x^3 - x^2 - x + x^4 + 1)^(1/2)), x)","F"
2109,1,72,153,1.301207,"\text{Not used}","int(1/(x^5*(a*x^4 - b)^(3/4)),x)","\frac{{\left(a\,x^4-b\right)}^{1/4}}{4\,b\,x^4}+\frac{3\,a\,\mathrm{atan}\left(\frac{{\left(a\,x^4-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)}{8\,{\left(-b\right)}^{7/4}}+\frac{3\,a\,\mathrm{atanh}\left(\frac{{\left(a\,x^4-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)}{8\,{\left(-b\right)}^{7/4}}","Not used",1,"(a*x^4 - b)^(1/4)/(4*b*x^4) + (3*a*atan((a*x^4 - b)^(1/4)/(-b)^(1/4)))/(8*(-b)^(7/4)) + (3*a*atanh((a*x^4 - b)^(1/4)/(-b)^(1/4)))/(8*(-b)^(7/4))","B"
2110,0,-1,153,0.000000,"\text{Not used}","int((a*b^3 - 4*a*x^3 + x^4 + 3*b*x^2*(3*a - b) - 2*b^2*x*(3*a - b))/((x*(a - x)*(b - x)^3)^(1/4)*(3*x^2*(a + b^2*d) + d*x^4 - x^3*(3*b*d + 1) + a^3 - x*(b^3*d + 3*a^2))),x)","\int \frac{a\,b^3-4\,a\,x^3+x^4+3\,b\,x^2\,\left(3\,a-b\right)-2\,b^2\,x\,\left(3\,a-b\right)}{{\left(x\,\left(a-x\right)\,{\left(b-x\right)}^3\right)}^{1/4}\,\left(3\,x^2\,\left(d\,b^2+a\right)+d\,x^4-x^3\,\left(3\,b\,d+1\right)+a^3-x\,\left(3\,a^2+d\,b^3\right)\right)} \,d x","Not used",1,"int((a*b^3 - 4*a*x^3 + x^4 + 3*b*x^2*(3*a - b) - 2*b^2*x*(3*a - b))/((x*(a - x)*(b - x)^3)^(1/4)*(3*x^2*(a + b^2*d) + d*x^4 - x^3*(3*b*d + 1) + a^3 - x*(b^3*d + 3*a^2))), x)","F"
2111,1,72,153,1.305722,"\text{Not used}","int(1/(x^6*(a*x^5 - b)^(3/4)),x)","\frac{{\left(a\,x^5-b\right)}^{1/4}}{5\,b\,x^5}+\frac{3\,a\,\mathrm{atan}\left(\frac{{\left(a\,x^5-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)}{10\,{\left(-b\right)}^{7/4}}+\frac{3\,a\,\mathrm{atanh}\left(\frac{{\left(a\,x^5-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)}{10\,{\left(-b\right)}^{7/4}}","Not used",1,"(a*x^5 - b)^(1/4)/(5*b*x^5) + (3*a*atan((a*x^5 - b)^(1/4)/(-b)^(1/4)))/(10*(-b)^(7/4)) + (3*a*atanh((a*x^5 - b)^(1/4)/(-b)^(1/4)))/(10*(-b)^(7/4))","B"
2112,1,72,153,1.324328,"\text{Not used}","int(1/(x^7*(a*x^6 - b)^(3/4)),x)","\frac{{\left(a\,x^6-b\right)}^{1/4}}{6\,b\,x^6}+\frac{a\,\mathrm{atan}\left(\frac{{\left(a\,x^6-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)}{4\,{\left(-b\right)}^{7/4}}+\frac{a\,\mathrm{atanh}\left(\frac{{\left(a\,x^6-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)}{4\,{\left(-b\right)}^{7/4}}","Not used",1,"(a*x^6 - b)^(1/4)/(6*b*x^6) + (a*atan((a*x^6 - b)^(1/4)/(-b)^(1/4)))/(4*(-b)^(7/4)) + (a*atanh((a*x^6 - b)^(1/4)/(-b)^(1/4)))/(4*(-b)^(7/4))","B"
2113,0,-1,153,0.000000,"\text{Not used}","int(-(b^6 + a^6*x^6)/((b^4 + a^4*x^4)^(1/2)*(b^6 - a^6*x^6)),x)","\int -\frac{a^6\,x^6+b^6}{\sqrt{a^4\,x^4+b^4}\,\left(b^6-a^6\,x^6\right)} \,d x","Not used",1,"int(-(b^6 + a^6*x^6)/((b^4 + a^4*x^4)^(1/2)*(b^6 - a^6*x^6)), x)","F"
2114,0,-1,153,0.000000,"\text{Not used}","int(((x^2 - 1)^(1/2)*(x*(x^2 - 1)^(1/2) + x^2)^(1/2))/(x + 1),x)","\int \frac{\sqrt{x^2-1}\,\sqrt{x\,\sqrt{x^2-1}+x^2}}{x+1} \,d x","Not used",1,"int(((x^2 - 1)^(1/2)*(x*(x^2 - 1)^(1/2) + x^2)^(1/2))/(x + 1), x)","F"
2115,0,-1,153,0.000000,"\text{Not used}","int(((x^4 + 1)*((x^2 + 1)^(1/2) + 1)^(1/2))/(x^4 - 1),x)","\int \frac{\left(x^4+1\right)\,\sqrt{\sqrt{x^2+1}+1}}{x^4-1} \,d x","Not used",1,"int(((x^4 + 1)*((x^2 + 1)^(1/2) + 1)^(1/2))/(x^4 - 1), x)","F"
2116,0,-1,153,0.000000,"\text{Not used}","int((a*x^2 - b^2)/((a*x^2 + b^2)*(b + (a*x^2 + b^2)^(1/2))^(1/2)),x)","\int \frac{a\,x^2-b^2}{\left(b^2+a\,x^2\right)\,\sqrt{b+\sqrt{b^2+a\,x^2}}} \,d x","Not used",1,"int((a*x^2 - b^2)/((a*x^2 + b^2)*(b + (a*x^2 + b^2)^(1/2))^(1/2)), x)","F"
2117,0,-1,153,0.000000,"\text{Not used}","int(x/((x + (x^2 + 1)^(1/2))^(1/2) + 1),x)","\int \frac{x}{\sqrt{x+\sqrt{x^2+1}}+1} \,d x","Not used",1,"int(x/((x + (x^2 + 1)^(1/2))^(1/2) + 1), x)","F"
2118,0,-1,154,0.000000,"\text{Not used}","int(-(2*x - x^2*(k + 1))/((x*(k*x - 1)*(x - 1))^(2/3)*(b + x^2*(b*k - 1) - b*x*(k + 1))),x)","\int -\frac{2\,x-x^2\,\left(k+1\right)}{{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{2/3}\,\left(\left(b\,k-1\right)\,x^2-b\,\left(k+1\right)\,x+b\right)} \,d x","Not used",1,"int(-(2*x - x^2*(k + 1))/((x*(k*x - 1)*(x - 1))^(2/3)*(b + x^2*(b*k - 1) - b*x*(k + 1))), x)","F"
2119,-1,-1,154,0.000000,"\text{Not used}","int(-((a*x^3 - b*x)^(1/2)*(b - a*x^2))/(x^2*(b + a*x^2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
2120,0,-1,154,0.000000,"\text{Not used}","int((x^4 - x^3)^(1/4)/(x*(x^3 + 1)),x)","\int \frac{{\left(x^4-x^3\right)}^{1/4}}{x\,\left(x^3+1\right)} \,d x","Not used",1,"int((x^4 - x^3)^(1/4)/(x*(x^3 + 1)), x)","F"
2121,0,-1,154,0.000000,"\text{Not used}","int((x^4 - x^3)^(1/4)/(x*(x^3 + 1)),x)","\int \frac{{\left(x^4-x^3\right)}^{1/4}}{x\,\left(x^3+1\right)} \,d x","Not used",1,"int((x^4 - x^3)^(1/4)/(x*(x^3 + 1)), x)","F"
2122,0,-1,154,0.000000,"\text{Not used}","int(((x^4 - 3)*(x^4 - x^3 + 1)^(2/3))/(x^3*(x^3 + x^4 + 1)),x)","\int \frac{\left(x^4-3\right)\,{\left(x^4-x^3+1\right)}^{2/3}}{x^3\,\left(x^4+x^3+1\right)} \,d x","Not used",1,"int(((x^4 - 3)*(x^4 - x^3 + 1)^(2/3))/(x^3*(x^3 + x^4 + 1)), x)","F"
2123,0,-1,154,0.000000,"\text{Not used}","int(-((b + a*x^5)^(3/4)*(4*b - a*x^5))/(x^4*(2*b + 2*a*x^5 + c*x^4)),x)","\int -\frac{{\left(a\,x^5+b\right)}^{3/4}\,\left(4\,b-a\,x^5\right)}{x^4\,\left(2\,a\,x^5+c\,x^4+2\,b\right)} \,d x","Not used",1,"int(-((b + a*x^5)^(3/4)*(4*b - a*x^5))/(x^4*(2*b + 2*a*x^5 + c*x^4)), x)","F"
2124,0,-1,154,0.000000,"\text{Not used}","int((x^6 - 1)/((x^2 + x^4)^(1/3)*(x^6 + 1)),x)","\int \frac{x^6-1}{{\left(x^4+x^2\right)}^{1/3}\,\left(x^6+1\right)} \,d x","Not used",1,"int((x^6 - 1)/((x^2 + x^4)^(1/3)*(x^6 + 1)), x)","F"
2125,0,-1,154,0.000000,"\text{Not used}","int(((3*x^4 + 2)^(1/4)*(6*x^4 + x^8 + 4))/(x^6*(x^4 + 1)*(2*x^4 + 1)),x)","\int \frac{{\left(3\,x^4+2\right)}^{1/4}\,\left(x^8+6\,x^4+4\right)}{x^6\,\left(x^4+1\right)\,\left(2\,x^4+1\right)} \,d x","Not used",1,"int(((3*x^4 + 2)^(1/4)*(6*x^4 + x^8 + 4))/(x^6*(x^4 + 1)*(2*x^4 + 1)), x)","F"
2126,0,-1,154,0.000000,"\text{Not used}","int((96*x^4 - 256*x^2 - 16*x^6 + x^8 + 256)^(1/8)/(x^3 - 1),x)","\int \frac{{\left(x^8-16\,x^6+96\,x^4-256\,x^2+256\right)}^{1/8}}{x^3-1} \,d x","Not used",1,"int((96*x^4 - 256*x^2 - 16*x^6 + x^8 + 256)^(1/8)/(x^3 - 1), x)","F"
2127,0,-1,154,0.000000,"\text{Not used}","int(-(6*x^2 - 6*x^3 - x^6 + 36)/(x*((x^3 + 6)/(x^3 - 6))^(1/6)*(x^3 - 6)*(122*x^2 - 90*x - 96*x^3 + 51*x^4 - 26*x^5 + 15*x^6 - 6*x^7 + x^8 + 36)),x)","-\int \frac{-x^6-6\,x^3+6\,x^2+36}{x\,{\left(\frac{x^3+6}{x^3-6}\right)}^{1/6}\,\left(x^3-6\right)\,\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)} \,d x","Not used",1,"-int((6*x^2 - 6*x^3 - x^6 + 36)/(x*((x^3 + 6)/(x^3 - 6))^(1/6)*(x^3 - 6)*(122*x^2 - 90*x - 96*x^3 + 51*x^4 - 26*x^5 + 15*x^6 - 6*x^7 + x^8 + 36)), x)","F"
2128,0,-1,154,0.000000,"\text{Not used}","int((2*b - a*x^4 + 2*x^8)/((b + a*x^4)^(1/4)*(a*x^4 - 2*b + x^8)),x)","\int \frac{2\,x^8-a\,x^4+2\,b}{{\left(a\,x^4+b\right)}^{1/4}\,\left(x^8+a\,x^4-2\,b\right)} \,d x","Not used",1,"int((2*b - a*x^4 + 2*x^8)/((b + a*x^4)^(1/4)*(a*x^4 - 2*b + x^8)), x)","F"
2129,0,-1,154,0.000000,"\text{Not used}","int((2*b - a*x^4 + 2*x^8)/((b + a*x^4)^(1/4)*(a*x^4 - 2*b + x^8)),x)","\int \frac{2\,x^8-a\,x^4+2\,b}{{\left(a\,x^4+b\right)}^{1/4}\,\left(x^8+a\,x^4-2\,b\right)} \,d x","Not used",1,"int((2*b - a*x^4 + 2*x^8)/((b + a*x^4)^(1/4)*(a*x^4 - 2*b + x^8)), x)","F"
2130,0,-1,154,0.000000,"\text{Not used}","int(-(b - a*x^8)/((b + a*x^8)*(b + a*x^8 - c*x^4)^(1/4)),x)","\int -\frac{b-a\,x^8}{\left(a\,x^8+b\right)\,{\left(a\,x^8-c\,x^4+b\right)}^{1/4}} \,d x","Not used",1,"int(-(b - a*x^8)/((b + a*x^8)*(b + a*x^8 - c*x^4)^(1/4)), x)","F"
2131,0,-1,154,0.000000,"\text{Not used}","int(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)","\int \frac{1}{x^2\,\sqrt{a^2\,x^2-b\,x}\,{\left(a\,x^2+x\,\sqrt{a^2\,x^2-b\,x}\right)}^{3/2}} \,d x","Not used",1,"int(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)","F"
2132,0,-1,154,0.000000,"\text{Not used}","int(((x^2 + 1)^(1/2) + 1)/((x + (x^2 + 1)^(1/2))^(1/2) + 1),x)","\int \frac{\sqrt{x^2+1}+1}{\sqrt{x+\sqrt{x^2+1}}+1} \,d x","Not used",1,"int(((x^2 + 1)^(1/2) + 1)/((x + (x^2 + 1)^(1/2))^(1/2) + 1), x)","F"
2133,0,-1,155,0.000000,"\text{Not used}","int((x*(k + 1) - 2)/((x*(k*x - 1)*(x - 1))^(1/3)*(b + x^2*(b*k - 1) - b*x*(k + 1))),x)","\int \frac{x\,\left(k+1\right)-2}{{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{1/3}\,\left(\left(b\,k-1\right)\,x^2-b\,\left(k+1\right)\,x+b\right)} \,d x","Not used",1,"int((x*(k + 1) - 2)/((x*(k*x - 1)*(x - 1))^(1/3)*(b + x^2*(b*k - 1) - b*x*(k + 1))), x)","F"
2134,0,-1,155,0.000000,"\text{Not used}","int(-((a*x^4 - b)^(1/4)*(8*b - a*x^8))/(x^10*(b + a*x^4)),x)","\int -\frac{{\left(a\,x^4-b\right)}^{1/4}\,\left(8\,b-a\,x^8\right)}{x^{10}\,\left(a\,x^4+b\right)} \,d x","Not used",1,"int(-((a*x^4 - b)^(1/4)*(8*b - a*x^8))/(x^10*(b + a*x^4)), x)","F"
2135,0,-1,155,0.000000,"\text{Not used}","int(x/(x + (x + (x + 1)^(1/2))^(1/2)),x)","\int \frac{x}{x+\sqrt{x+\sqrt{x+1}}} \,d x","Not used",1,"int(x/(x + (x + (x + 1)^(1/2))^(1/2)), x)","F"
2136,0,-1,155,0.000000,"\text{Not used}","int(x/(x + (x + (x + 1)^(1/2))^(1/2)),x)","\int \frac{x}{x+\sqrt{x+\sqrt{x+1}}} \,d x","Not used",1,"int(x/(x + (x + (x + 1)^(1/2))^(1/2)), x)","F"
2137,0,-1,156,0.000000,"\text{Not used}","int(((x^2 - 2)*(x^2 - 6)*(x^3 - x^2 + 2)*(x^2 + 2*x^3 - 2)^(1/3))/(x^5*(x^2 + x^3 - 2)^2),x)","\int \frac{\left(x^2-2\right)\,\left(x^2-6\right)\,\left(x^3-x^2+2\right)\,{\left(2\,x^3+x^2-2\right)}^{1/3}}{x^5\,{\left(x^3+x^2-2\right)}^2} \,d x","Not used",1,"int(((x^2 - 2)*(x^2 - 6)*(x^3 - x^2 + 2)*(x^2 + 2*x^3 - 2)^(1/3))/(x^5*(x^2 + x^3 - 2)^2), x)","F"
2138,0,-1,156,0.000000,"\text{Not used}","int(((x^4 - x^3)^(1/4)*(x - 1))/(x*(x^3 + 1)),x)","\int \frac{{\left(x^4-x^3\right)}^{1/4}\,\left(x-1\right)}{x\,\left(x^3+1\right)} \,d x","Not used",1,"int(((x^4 - x^3)^(1/4)*(x - 1))/(x*(x^3 + 1)), x)","F"
2139,0,-1,156,0.000000,"\text{Not used}","int(((x^4 - x^3)^(1/4)*(x - 1))/(x*(x^3 + 1)),x)","\int \frac{{\left(x^4-x^3\right)}^{1/4}\,\left(x-1\right)}{x\,\left(x^3+1\right)} \,d x","Not used",1,"int(((x^4 - x^3)^(1/4)*(x - 1))/(x*(x^3 + 1)), x)","F"
2140,0,-1,156,0.000000,"\text{Not used}","int(((x^3 + x^5)^(1/4)*(x + 1))/(x*(x^3 - 1)),x)","\int \frac{{\left(x^5+x^3\right)}^{1/4}\,\left(x+1\right)}{x\,\left(x^3-1\right)} \,d x","Not used",1,"int(((x^3 + x^5)^(1/4)*(x + 1))/(x*(x^3 - 1)), x)","F"
2141,0,-1,156,0.000000,"\text{Not used}","int(-x^3/((b^2 - a^2*x^6)*(a*x^3 - b*x^2)^(1/3)),x)","-\int \frac{x^3}{\left(b^2-a^2\,x^6\right)\,{\left(a\,x^3-b\,x^2\right)}^{1/3}} \,d x","Not used",1,"-int(x^3/((b^2 - a^2*x^6)*(a*x^3 - b*x^2)^(1/3)), x)","F"
2142,0,-1,156,0.000000,"\text{Not used}","int((x^2 + 1)/((x^2 - 1)*(((x + 1)^(1/2) + 1)^(1/2) + 1)^(1/2)),x)","\int \frac{x^2+1}{\left(x^2-1\right)\,\sqrt{\sqrt{\sqrt{x+1}+1}+1}} \,d x","Not used",1,"int((x^2 + 1)/((x^2 - 1)*(((x + 1)^(1/2) + 1)^(1/2) + 1)^(1/2)), x)","F"
2143,0,-1,156,0.000000,"\text{Not used}","int((x^2 + 1)/((x^2 - 1)*(((x + 1)^(1/2) + 1)^(1/2) + 1)^(1/2)),x)","\int \frac{x^2+1}{\left(x^2-1\right)\,\sqrt{\sqrt{\sqrt{x+1}+1}+1}} \,d x","Not used",1,"int((x^2 + 1)/((x^2 - 1)*(((x + 1)^(1/2) + 1)^(1/2) + 1)^(1/2)), x)","F"
2144,0,-1,157,0.000000,"\text{Not used}","int((x + x^3 - 1)/((x^3 - x^2)^(1/3)*(x^3 - x + 1)),x)","\int \frac{x^3+x-1}{{\left(x^3-x^2\right)}^{1/3}\,\left(x^3-x+1\right)} \,d x","Not used",1,"int((x + x^3 - 1)/((x^3 - x^2)^(1/3)*(x^3 - x + 1)), x)","F"
2145,0,-1,157,0.000000,"\text{Not used}","int((x + x^3 - 1)/((x^3 - x^2)^(1/3)*(x^3 - x + 1)),x)","\int \frac{x^3+x-1}{{\left(x^3-x^2\right)}^{1/3}\,\left(x^3-x+1\right)} \,d x","Not used",1,"int((x + x^3 - 1)/((x^3 - x^2)^(1/3)*(x^3 - x + 1)), x)","F"
2146,0,-1,157,0.000000,"\text{Not used}","int(((2*x^3 + 1)^(4/3)*(3*x^3 + 1))/(x^8*(4*x^3 + 1)),x)","\int \frac{{\left(2\,x^3+1\right)}^{4/3}\,\left(3\,x^3+1\right)}{x^8\,\left(4\,x^3+1\right)} \,d x","Not used",1,"int(((2*x^3 + 1)^(4/3)*(3*x^3 + 1))/(x^8*(4*x^3 + 1)), x)","F"
2147,0,-1,157,0.000000,"\text{Not used}","int((x^2 - 1)/((x^2 + 1)*(x^4 - x^2)^(1/3)),x)","\int \frac{x^2-1}{\left(x^2+1\right)\,{\left(x^4-x^2\right)}^{1/3}} \,d x","Not used",1,"int((x^2 - 1)/((x^2 + 1)*(x^4 - x^2)^(1/3)), x)","F"
2148,0,-1,157,0.000000,"\text{Not used}","int(-((b - 2*a*x^4)*(a*x^4 - b*x^2)^(1/4))/(b + a*x^4),x)","\int -\frac{\left(b-2\,a\,x^4\right)\,{\left(a\,x^4-b\,x^2\right)}^{1/4}}{a\,x^4+b} \,d x","Not used",1,"int(-((b - 2*a*x^4)*(a*x^4 - b*x^2)^(1/4))/(b + a*x^4), x)","F"
2149,0,-1,157,0.000000,"\text{Not used}","int(-((b - 2*a*x^4)*(a*x^4 - b*x^2)^(1/4))/(b + a*x^4),x)","\int -\frac{\left(b-2\,a\,x^4\right)\,{\left(a\,x^4-b\,x^2\right)}^{1/4}}{a\,x^4+b} \,d x","Not used",1,"int(-((b - 2*a*x^4)*(a*x^4 - b*x^2)^(1/4))/(b + a*x^4), x)","F"
2150,0,-1,157,0.000000,"\text{Not used}","int(-(x^3*(4*a - 3*x))/((-x^2*(a - x))^(2/3)*(a - x + d*x^4)),x)","\int -\frac{x^3\,\left(4\,a-3\,x\right)}{{\left(-x^2\,\left(a-x\right)\right)}^{2/3}\,\left(d\,x^4-x+a\right)} \,d x","Not used",1,"int(-(x^3*(4*a - 3*x))/((-x^2*(a - x))^(2/3)*(a - x + d*x^4)), x)","F"
2151,0,-1,157,0.000000,"\text{Not used}","int((b + a*x^6)/(x^6*(a*x^4 - b*x)^(1/4)*(b + a*x^3)),x)","\int \frac{a\,x^6+b}{x^6\,{\left(a\,x^4-b\,x\right)}^{1/4}\,\left(a\,x^3+b\right)} \,d x","Not used",1,"int((b + a*x^6)/(x^6*(a*x^4 - b*x)^(1/4)*(b + a*x^3)), x)","F"
2152,0,-1,157,0.000000,"\text{Not used}","int((x^2 - 1)/((x + (x + 1)^(1/2))^(1/2)*(x^2 + 1)*(x + 1)^(1/2)),x)","\int \frac{x^2-1}{\sqrt{x+\sqrt{x+1}}\,\left(x^2+1\right)\,\sqrt{x+1}} \,d x","Not used",1,"int((x^2 - 1)/((x + (x + 1)^(1/2))^(1/2)*(x^2 + 1)*(x + 1)^(1/2)), x)","F"
2153,0,-1,157,0.000000,"\text{Not used}","int((x^2 - 1)/((x + (x + 1)^(1/2))^(1/2)*(x^2 + 1)*(x + 1)^(1/2)),x)","\int \frac{x^2-1}{\sqrt{x+\sqrt{x+1}}\,\left(x^2+1\right)\,\sqrt{x+1}} \,d x","Not used",1,"int((x^2 - 1)/((x + (x + 1)^(1/2))^(1/2)*(x^2 + 1)*(x + 1)^(1/2)), x)","F"
2154,0,-1,157,0.000000,"\text{Not used}","int(x^2*((b + a^2*x^4)^(1/2) + a*x^2)^(1/2),x)","\int x^2\,\sqrt{\sqrt{a^2\,x^4+b}+a\,x^2} \,d x","Not used",1,"int(x^2*((b + a^2*x^4)^(1/2) + a*x^2)^(1/2), x)","F"
2155,1,99,157,1.976761,"\text{Not used}","int(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)*(a^2*x^2 - b)^(1/2)),x)","-\frac{12\,{\left(\frac{c}{{\left(a\,x+\sqrt{a^2\,x^2-b}\right)}^{1/3}}+1\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{5}{4};\ \frac{9}{4};\ -\frac{c}{{\left(a\,x+\sqrt{a^2\,x^2-b}\right)}^{1/3}}\right)}{5\,a\,{\left(a\,x+\sqrt{a^2\,x^2-b}\right)}^{1/3}\,{\left(c+{\left(a\,x+\sqrt{a^2\,x^2-b}\right)}^{1/3}\right)}^{1/4}}","Not used",1,"-(12*(c/(a*x + (a^2*x^2 - b)^(1/2))^(1/3) + 1)^(1/4)*hypergeom([1/4, 5/4], 9/4, -c/(a*x + (a^2*x^2 - b)^(1/2))^(1/3)))/(5*a*(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))","B"
2156,0,-1,158,0.000000,"\text{Not used}","int(-((2*a - 3*b + x)*(3*a*x^2 - 3*a^2*x + a^3 - x^3))/((b - x)*(-(a - x)*(b - x)^2)^(1/4)*(b^2*d - x*(2*b*d + 3*a^2) + x^2*(3*a + d) + a^3 - x^3)),x)","-\int \frac{\left(2\,a-3\,b+x\right)\,\left(a^3-3\,a^2\,x+3\,a\,x^2-x^3\right)}{\left(b-x\right)\,{\left(-\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{1/4}\,\left(b^2\,d-x\,\left(3\,a^2+2\,b\,d\right)+x^2\,\left(3\,a+d\right)+a^3-x^3\right)} \,d x","Not used",1,"-int(((2*a - 3*b + x)*(3*a*x^2 - 3*a^2*x + a^3 - x^3))/((b - x)*(-(a - x)*(b - x)^2)^(1/4)*(b^2*d - x*(2*b*d + 3*a^2) + x^2*(3*a + d) + a^3 - x^3)), x)","F"
2157,0,-1,158,0.000000,"\text{Not used}","int(-((x^4 - x^3)^(1/4)*(2*x^2 - x + 2))/(2*x - x^2 + 2),x)","\int -\frac{{\left(x^4-x^3\right)}^{1/4}\,\left(2\,x^2-x+2\right)}{-x^2+2\,x+2} \,d x","Not used",1,"int(-((x^4 - x^3)^(1/4)*(2*x^2 - x + 2))/(2*x - x^2 + 2), x)","F"
2158,0,-1,158,0.000000,"\text{Not used}","int(-((x^4 - x^3)^(1/4)*(2*x^2 - x + 2))/(2*x - x^2 + 2),x)","\int -\frac{{\left(x^4-x^3\right)}^{1/4}\,\left(2\,x^2-x+2\right)}{-x^2+2\,x+2} \,d x","Not used",1,"int(-((x^4 - x^3)^(1/4)*(2*x^2 - x + 2))/(2*x - x^2 + 2), x)","F"
2159,0,-1,158,0.000000,"\text{Not used}","int(((2*x^4 + 1)*(1 - 2*x^4 - 3*x^2)^(1/2))/((x^2 + 2*x^4 - 1)*(2*x^2 + 2*x^4 - 1)),x)","\int \frac{\left(2\,x^4+1\right)\,\sqrt{-2\,x^4-3\,x^2+1}}{\left(2\,x^4+x^2-1\right)\,\left(2\,x^4+2\,x^2-1\right)} \,d x","Not used",1,"int(((2*x^4 + 1)*(1 - 2*x^4 - 3*x^2)^(1/2))/((x^2 + 2*x^4 - 1)*(2*x^2 + 2*x^4 - 1)), x)","F"
2160,0,-1,158,0.000000,"\text{Not used}","int(((b - 2*a*x^4)*(a*x^4 + b*x^2)^(1/4))/(2*b - a*x^4),x)","\int \frac{\left(b-2\,a\,x^4\right)\,{\left(a\,x^4+b\,x^2\right)}^{1/4}}{2\,b-a\,x^4} \,d x","Not used",1,"int(((b - 2*a*x^4)*(a*x^4 + b*x^2)^(1/4))/(2*b - a*x^4), x)","F"
2161,0,-1,158,0.000000,"\text{Not used}","int(((b - 2*a*x^4)*(a*x^4 + b*x^2)^(1/4))/(2*b - a*x^4),x)","\int \frac{\left(b-2\,a\,x^4\right)\,{\left(a\,x^4+b\,x^2\right)}^{1/4}}{2\,b-a\,x^4} \,d x","Not used",1,"int(((b - 2*a*x^4)*(a*x^4 + b*x^2)^(1/4))/(2*b - a*x^4), x)","F"
2162,0,-1,158,0.000000,"\text{Not used}","int(-(x*(4*a - 3*x))/((-x^2*(a - x))^(1/3)*(a - x + d*x^4)),x)","\int -\frac{x\,\left(4\,a-3\,x\right)}{{\left(-x^2\,\left(a-x\right)\right)}^{1/3}\,\left(d\,x^4-x+a\right)} \,d x","Not used",1,"int(-(x*(4*a - 3*x))/((-x^2*(a - x))^(1/3)*(a - x + d*x^4)), x)","F"
2163,0,-1,158,0.000000,"\text{Not used}","int((b + 2*a*x^4 - 2*x^8)/((a*x^4 - b)^(1/4)*(b + a*x^4 - x^8)),x)","\int \frac{-2\,x^8+2\,a\,x^4+b}{{\left(a\,x^4-b\right)}^{1/4}\,\left(-x^8+a\,x^4+b\right)} \,d x","Not used",1,"int((b + 2*a*x^4 - 2*x^8)/((a*x^4 - b)^(1/4)*(b + a*x^4 - x^8)), x)","F"
2164,0,-1,158,0.000000,"\text{Not used}","int((b + 2*a*x^4 - 2*x^8)/((a*x^4 - b)^(1/4)*(b + a*x^4 - x^8)),x)","\int \frac{-2\,x^8+2\,a\,x^4+b}{{\left(a\,x^4-b\right)}^{1/4}\,\left(-x^8+a\,x^4+b\right)} \,d x","Not used",1,"int((b + 2*a*x^4 - 2*x^8)/((a*x^4 - b)^(1/4)*(b + a*x^4 - x^8)), x)","F"
2165,0,-1,159,0.000000,"\text{Not used}","int(1/((x^2 - 1)*(x^3 - x^2)^(1/3)),x)","\int \frac{1}{\left(x^2-1\right)\,{\left(x^3-x^2\right)}^{1/3}} \,d x","Not used",1,"int(1/((x^2 - 1)*(x^3 - x^2)^(1/3)), x)","F"
2166,1,165,159,4.805937,"\text{Not used}","int(-(b^2 - a^2*x^4)/((a*x^3 - b*x)^(1/2)*(c*x^2 + b^2 + a^2*x^4)),x)","\frac{\ln\left(\frac{b-x\,\sqrt{-c-2\,a\,b}+2\,\sqrt{a\,x^3-b\,x}\,{\left(-c-2\,a\,b\right)}^{1/4}-a\,x^2}{b+x\,\sqrt{-c-2\,a\,b}-a\,x^2}\right)}{2\,{\left(-c-2\,a\,b\right)}^{1/4}}+\frac{\ln\left(\frac{b+x\,\sqrt{-c-2\,a\,b}-a\,x^2-\sqrt{a\,x^3-b\,x}\,{\left(-c-2\,a\,b\right)}^{1/4}\,2{}\mathrm{i}}{x\,\sqrt{-c-2\,a\,b}-b+a\,x^2}\right)\,1{}\mathrm{i}}{2\,{\left(-c-2\,a\,b\right)}^{1/4}}","Not used",1,"log((b - x*(- c - 2*a*b)^(1/2) + 2*(a*x^3 - b*x)^(1/2)*(- c - 2*a*b)^(1/4) - a*x^2)/(b + x*(- c - 2*a*b)^(1/2) - a*x^2))/(2*(- c - 2*a*b)^(1/4)) + (log((b + x*(- c - 2*a*b)^(1/2) - (a*x^3 - b*x)^(1/2)*(- c - 2*a*b)^(1/4)*2i - a*x^2)/(x*(- c - 2*a*b)^(1/2) - b + a*x^2))*1i)/(2*(- c - 2*a*b)^(1/4))","B"
2167,0,-1,159,0.000000,"\text{Not used}","int(-((q - 2*p*x^3)*(p^2*x^6 + q^2 - 2*p*q*x^2 + 2*p*q*x^3)^(1/2))/(x*(a*(q + p*x^3)^2 + b*x^2)),x)","\int -\frac{\left(q-2\,p\,x^3\right)\,\sqrt{p^2\,x^6+2\,p\,q\,x^3-2\,p\,q\,x^2+q^2}}{x\,\left(a\,{\left(p\,x^3+q\right)}^2+b\,x^2\right)} \,d x","Not used",1,"int(-((q - 2*p*x^3)*(p^2*x^6 + q^2 - 2*p*q*x^2 + 2*p*q*x^3)^(1/2))/(x*(a*(q + p*x^3)^2 + b*x^2)), x)","F"
2168,0,-1,159,0.000000,"\text{Not used}","int(-((2*q - p*x^3)*(p^2*x^6 + q^2 + 2*p*q*x^3 - 2*p*q*x^4)^(1/2))/(x*(a*(q + p*x^3)^2 + b*x^4)),x)","\int -\frac{\left(2\,q-p\,x^3\right)\,\sqrt{p^2\,x^6-2\,p\,q\,x^4+2\,p\,q\,x^3+q^2}}{x\,\left(a\,{\left(p\,x^3+q\right)}^2+b\,x^4\right)} \,d x","Not used",1,"int(-((2*q - p*x^3)*(p^2*x^6 + q^2 + 2*p*q*x^3 - 2*p*q*x^4)^(1/2))/(x*(a*(q + p*x^3)^2 + b*x^4)), x)","F"
2169,0,-1,159,0.000000,"\text{Not used}","int(-((x^2 + 1)^(1/2) - x^2)/((x + (x^2 + 1)^(1/2))^(1/2) + x^2),x)","-\int \frac{\sqrt{x^2+1}-x^2}{\sqrt{x+\sqrt{x^2+1}}+x^2} \,d x","Not used",1,"-int(((x^2 + 1)^(1/2) - x^2)/((x + (x^2 + 1)^(1/2))^(1/2) + x^2), x)","F"
2170,0,-1,159,0.000000,"\text{Not used}","int(-((x^2 + 1)^(1/2) - x^2)/((x + (x^2 + 1)^(1/2))^(1/2) + x^2),x)","-\int \frac{\sqrt{x^2+1}-x^2}{\sqrt{x+\sqrt{x^2+1}}+x^2} \,d x","Not used",1,"-int(((x^2 + 1)^(1/2) - x^2)/((x + (x^2 + 1)^(1/2))^(1/2) + x^2), x)","F"
2171,0,-1,160,0.000000,"\text{Not used}","int(((1 - (1/x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)/x,x)","\int \frac{\sqrt{\sqrt{1-\sqrt{\frac{1}{x^2}+1}}+1}}{x} \,d x","Not used",1,"int(((1 - (1/x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)/x, x)","F"
2172,0,-1,160,0.000000,"\text{Not used}","int((2*x - x^2*(k + 1))/((x*(k*x - 1)*(x - 1))^(2/3)*(x*(k + 1) + x^2*(b - k) - 1)),x)","\int \frac{2\,x-x^2\,\left(k+1\right)}{{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{2/3}\,\left(\left(b-k\right)\,x^2+\left(k+1\right)\,x-1\right)} \,d x","Not used",1,"int((2*x - x^2*(k + 1))/((x*(k*x - 1)*(x - 1))^(2/3)*(x*(k + 1) + x^2*(b - k) - 1)), x)","F"
2173,0,-1,161,0.000000,"\text{Not used}","int((x*(k + 1) - 2)/((x*(k + 1) - 1)*(x*(k*x - 1)*(x - 1))^(1/3)),x)","\int \frac{x\,\left(k+1\right)-2}{\left(x\,\left(k+1\right)-1\right)\,{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{1/3}} \,d x","Not used",1,"int((x*(k + 1) - 2)/((x*(k + 1) - 1)*(x*(k*x - 1)*(x - 1))^(1/3)), x)","F"
2174,0,-1,161,0.000000,"\text{Not used}","int(-(x*(k + 1) - 2)/((x*(k*x - 1)*(x - 1))^(1/3)*(x*(k + 1) + x^2*(b - k) - 1)),x)","\int -\frac{x\,\left(k+1\right)-2}{{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{1/3}\,\left(\left(b-k\right)\,x^2+\left(k+1\right)\,x-1\right)} \,d x","Not used",1,"int(-(x*(k + 1) - 2)/((x*(k*x - 1)*(x - 1))^(1/3)*(x*(k + 1) + x^2*(b - k) - 1)), x)","F"
2175,0,-1,161,0.000000,"\text{Not used}","int(-((2*x^2 + 3)*(2*x^2 + 2*x^3 + 1)^(2/3))/(x^3*(2*x^2 - x^3 + 1)),x)","\int -\frac{\left(2\,x^2+3\right)\,{\left(2\,x^3+2\,x^2+1\right)}^{2/3}}{x^3\,\left(-x^3+2\,x^2+1\right)} \,d x","Not used",1,"int(-((2*x^2 + 3)*(2*x^2 + 2*x^3 + 1)^(2/3))/(x^3*(2*x^2 - x^3 + 1)), x)","F"
2176,-1,-1,161,0.000000,"\text{Not used}","int((c*x - b + a*x^2)/((a*x^3 - b*x)^(1/2)*(b + a*x^2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
2177,0,-1,161,0.000000,"\text{Not used}","int(-(2*x - 2*x^2 - x^4 + 4)/(x*((x^2 + 2)/(x^2 - 2))^(1/4)*(x^2 - 2)*(4*x^2 - 10*x + 4*x^3 - 4*x^4 + x^5 + 8)),x)","\int -\frac{-x^4-2\,x^2+2\,x+4}{x\,{\left(\frac{x^2+2}{x^2-2}\right)}^{1/4}\,\left(x^2-2\right)\,\left(x^5-4\,x^4+4\,x^3+4\,x^2-10\,x+8\right)} \,d x","Not used",1,"int(-(2*x - 2*x^2 - x^4 + 4)/(x*((x^2 + 2)/(x^2 - 2))^(1/4)*(x^2 - 2)*(4*x^2 - 10*x + 4*x^3 - 4*x^4 + x^5 + 8)), x)","F"
2178,0,-1,161,0.000000,"\text{Not used}","int(((x^4 - 1)*((x + 1)^(1/2) + 1)^(1/2)*(x + 1)^(1/2))/(x^4 + 1),x)","\int \frac{\left(x^4-1\right)\,\sqrt{\sqrt{x+1}+1}\,\sqrt{x+1}}{x^4+1} \,d x","Not used",1,"int(((x^4 - 1)*((x + 1)^(1/2) + 1)^(1/2)*(x + 1)^(1/2))/(x^4 + 1), x)","F"
2179,0,-1,161,0.000000,"\text{Not used}","int(((x^4 - 1)*((x + 1)^(1/2) + 1)^(1/2)*(x + 1)^(1/2))/(x^4 + 1),x)","\int \frac{\left(x^4-1\right)\,\sqrt{\sqrt{x+1}+1}\,\sqrt{x+1}}{x^4+1} \,d x","Not used",1,"int(((x^4 - 1)*((x + 1)^(1/2) + 1)^(1/2)*(x + 1)^(1/2))/(x^4 + 1), x)","F"
2180,1,184,162,1.783733,"\text{Not used}","int(-(d - c*x)/(x^4*(a*x^3 - b)^(1/3)),x)","\frac{c\,{\left(a\,x^3-b\right)}^{2/3}}{2\,b\,x^2}-\frac{\ln\left(\frac{{\left(a\,d+\sqrt{3}\,a\,d\,1{}\mathrm{i}\right)}^2}{36\,b^{5/3}}+\frac{a^2\,d^2\,{\left(a\,x^3-b\right)}^{1/3}}{9\,b^2}\right)\,\left(a\,d+\sqrt{3}\,a\,d\,1{}\mathrm{i}\right)}{18\,b^{4/3}}-\frac{\ln\left(\frac{{\left(a\,d-\sqrt{3}\,a\,d\,1{}\mathrm{i}\right)}^2}{36\,b^{5/3}}+\frac{a^2\,d^2\,{\left(a\,x^3-b\right)}^{1/3}}{9\,b^2}\right)\,\left(a\,d-\sqrt{3}\,a\,d\,1{}\mathrm{i}\right)}{18\,b^{4/3}}-\frac{d\,{\left(a\,x^3-b\right)}^{2/3}}{3\,b\,x^3}+\frac{a\,d\,\ln\left({\left(a\,x^3-b\right)}^{1/3}+b^{1/3}\right)}{9\,b^{4/3}}","Not used",1,"(c*(a*x^3 - b)^(2/3))/(2*b*x^2) - (log((a*d + 3^(1/2)*a*d*1i)^2/(36*b^(5/3)) + (a^2*d^2*(a*x^3 - b)^(1/3))/(9*b^2))*(a*d + 3^(1/2)*a*d*1i))/(18*b^(4/3)) - (log((a*d - 3^(1/2)*a*d*1i)^2/(36*b^(5/3)) + (a^2*d^2*(a*x^3 - b)^(1/3))/(9*b^2))*(a*d - 3^(1/2)*a*d*1i))/(18*b^(4/3)) - (d*(a*x^3 - b)^(2/3))/(3*b*x^3) + (a*d*log((a*x^3 - b)^(1/3) + b^(1/3)))/(9*b^(4/3))","B"
2181,0,-1,162,0.000000,"\text{Not used}","int(-((d - c*x^4)*(a*x^4 - b*x^3)^(1/4))/x^2,x)","-\int \frac{\left(d-c\,x^4\right)\,{\left(a\,x^4-b\,x^3\right)}^{1/4}}{x^2} \,d x","Not used",1,"-int(((d - c*x^4)*(a*x^4 - b*x^3)^(1/4))/x^2, x)","F"
2182,0,-1,162,0.000000,"\text{Not used}","int(-(x^3*(3*k*x^2 - 4*x*(k + 1) + 5))/((x*(k*x - 1)*(x - 1))^(2/3)*(b - x^5 - b*x*(k + 1) + b*k*x^2)),x)","-\int \frac{x^3\,\left(3\,k\,x^2-4\,x\,\left(k+1\right)+5\right)}{{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{2/3}\,\left(-x^5+b\,k\,x^2-b\,\left(k+1\right)\,x+b\right)} \,d x","Not used",1,"-int((x^3*(3*k*x^2 - 4*x*(k + 1) + 5))/((x*(k*x - 1)*(x - 1))^(2/3)*(b - x^5 - b*x*(k + 1) + b*k*x^2)), x)","F"
2183,0,-1,162,0.000000,"\text{Not used}","int(((x^5 + 2)*(x^5 - 8)*(x^5 - 3*x^4 + 2)^(1/4))/(x^6*(2*x^5 - 3*x^4 + 4)),x)","\int \frac{\left(x^5+2\right)\,\left(x^5-8\right)\,{\left(x^5-3\,x^4+2\right)}^{1/4}}{x^6\,\left(2\,x^5-3\,x^4+4\right)} \,d x","Not used",1,"int(((x^5 + 2)*(x^5 - 8)*(x^5 - 3*x^4 + 2)^(1/4))/(x^6*(2*x^5 - 3*x^4 + 4)), x)","F"
2184,0,-1,162,0.000000,"\text{Not used}","int(x^2/((x^2 + x^6)^(1/4)*(x^4 - 1)),x)","\int \frac{x^2}{{\left(x^6+x^2\right)}^{1/4}\,\left(x^4-1\right)} \,d x","Not used",1,"int(x^2/((x^2 + x^6)^(1/4)*(x^4 - 1)), x)","F"
2185,0,-1,162,0.000000,"\text{Not used}","int(x^2/((x^2 + x^6)^(1/4)*(x^4 - 1)),x)","\int \frac{x^2}{{\left(x^6+x^2\right)}^{1/4}\,\left(x^4-1\right)} \,d x","Not used",1,"int(x^2/((x^2 + x^6)^(1/4)*(x^4 - 1)), x)","F"
2186,0,-1,162,0.000000,"\text{Not used}","int((x^4 + 1)/((x^2 + x^6)^(1/4)*(x^4 - 1)),x)","\int \frac{x^4+1}{{\left(x^6+x^2\right)}^{1/4}\,\left(x^4-1\right)} \,d x","Not used",1,"int((x^4 + 1)/((x^2 + x^6)^(1/4)*(x^4 - 1)), x)","F"
2187,0,-1,162,0.000000,"\text{Not used}","int((x^4 + 1)/((x^2 + x^6)^(1/4)*(x^4 - 1)),x)","\int \frac{x^4+1}{{\left(x^6+x^2\right)}^{1/4}\,\left(x^4-1\right)} \,d x","Not used",1,"int((x^4 + 1)/((x^2 + x^6)^(1/4)*(x^4 - 1)), x)","F"
2188,0,-1,162,0.000000,"\text{Not used}","int((x^4 - x^2 + 1)/((x^2 + x^6)^(1/4)*(x^4 - 1)),x)","\int \frac{x^4-x^2+1}{{\left(x^6+x^2\right)}^{1/4}\,\left(x^4-1\right)} \,d x","Not used",1,"int((x^4 - x^2 + 1)/((x^2 + x^6)^(1/4)*(x^4 - 1)), x)","F"
2189,0,-1,162,0.000000,"\text{Not used}","int((x^4 - x^2 + 1)/((x^2 + x^6)^(1/4)*(x^4 - 1)),x)","\int \frac{x^4-x^2+1}{{\left(x^6+x^2\right)}^{1/4}\,\left(x^4-1\right)} \,d x","Not used",1,"int((x^4 - x^2 + 1)/((x^2 + x^6)^(1/4)*(x^4 - 1)), x)","F"
2190,0,-1,162,0.000000,"\text{Not used}","int((x^2 + x^4 + 1)/((x^2 + x^6)^(1/4)*(x^4 - 1)),x)","\int \frac{x^4+x^2+1}{{\left(x^6+x^2\right)}^{1/4}\,\left(x^4-1\right)} \,d x","Not used",1,"int((x^2 + x^4 + 1)/((x^2 + x^6)^(1/4)*(x^4 - 1)), x)","F"
2191,0,-1,162,0.000000,"\text{Not used}","int((x^2 + x^4 + 1)/((x^2 + x^6)^(1/4)*(x^4 - 1)),x)","\int \frac{x^4+x^2+1}{{\left(x^6+x^2\right)}^{1/4}\,\left(x^4-1\right)} \,d x","Not used",1,"int((x^2 + x^4 + 1)/((x^2 + x^6)^(1/4)*(x^4 - 1)), x)","F"
2192,0,-1,162,0.000000,"\text{Not used}","int(((x^3 - 1)^(2/3)*(x^3 - 2)*(x^3 - 4))/(x^6*(x^3 + x^6 - 2)),x)","\int \frac{{\left(x^3-1\right)}^{2/3}\,\left(x^3-2\right)\,\left(x^3-4\right)}{x^6\,\left(x^6+x^3-2\right)} \,d x","Not used",1,"int(((x^3 - 1)^(2/3)*(x^3 - 2)*(x^3 - 4))/(x^6*(x^3 + x^6 - 2)), x)","F"
2193,0,-1,162,0.000000,"\text{Not used}","int(((x^2 + x^6)^(1/4)*(x^4 - 1))/(x^8 + 1),x)","\int \frac{{\left(x^6+x^2\right)}^{1/4}\,\left(x^4-1\right)}{x^8+1} \,d x","Not used",1,"int(((x^2 + x^6)^(1/4)*(x^4 - 1))/(x^8 + 1), x)","F"
2194,0,-1,162,0.000000,"\text{Not used}","int(((x^2 + x^6)^(1/4)*(x^4 - 1))/(x^8 + 1),x)","\int \frac{{\left(x^6+x^2\right)}^{1/4}\,\left(x^4-1\right)}{x^8+1} \,d x","Not used",1,"int(((x^2 + x^6)^(1/4)*(x^4 - 1))/(x^8 + 1), x)","F"
2195,0,-1,162,0.000000,"\text{Not used}","int((x^8 - 1)/((x^2 + x^6)^(1/4)*(x^8 + 1)),x)","\int \frac{x^8-1}{{\left(x^6+x^2\right)}^{1/4}\,\left(x^8+1\right)} \,d x","Not used",1,"int((x^8 - 1)/((x^2 + x^6)^(1/4)*(x^8 + 1)), x)","F"
2196,0,-1,162,0.000000,"\text{Not used}","int((x^8 - 1)/((x^2 + x^6)^(1/4)*(x^8 + 1)),x)","\int \frac{x^8-1}{{\left(x^6+x^2\right)}^{1/4}\,\left(x^8+1\right)} \,d x","Not used",1,"int((x^8 - 1)/((x^2 + x^6)^(1/4)*(x^8 + 1)), x)","F"
2197,0,-1,162,0.000000,"\text{Not used}","int(-(x^5*(6*k*x^2 - 7*x*(k + 1) + 8))/((x*(k*x - 1)*(x - 1))^(2/3)*(b - x^8 - b*x*(k + 1) + b*k*x^2)),x)","-\int \frac{x^5\,\left(6\,k\,x^2-7\,x\,\left(k+1\right)+8\right)}{{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{2/3}\,\left(-x^8+b\,k\,x^2-b\,\left(k+1\right)\,x+b\right)} \,d x","Not used",1,"-int((x^5*(6*k*x^2 - 7*x*(k + 1) + 8))/((x*(k*x - 1)*(x - 1))^(2/3)*(b - x^8 - b*x*(k + 1) + b*k*x^2)), x)","F"
2198,0,-1,162,0.000000,"\text{Not used}","int((2*b + a*x^4 - 2*x^8)/((a*x^4 - b)^(1/4)*(2*b + a*x^4 - x^8)),x)","\int \frac{-2\,x^8+a\,x^4+2\,b}{{\left(a\,x^4-b\right)}^{1/4}\,\left(-x^8+a\,x^4+2\,b\right)} \,d x","Not used",1,"int((2*b + a*x^4 - 2*x^8)/((a*x^4 - b)^(1/4)*(2*b + a*x^4 - x^8)), x)","F"
2199,0,-1,162,0.000000,"\text{Not used}","int((b + (a*x^2 + b^2)^(1/2))^(1/2)/x^4,x)","\int \frac{\sqrt{b+\sqrt{b^2+a\,x^2}}}{x^4} \,d x","Not used",1,"int((b + (a*x^2 + b^2)^(1/2))^(1/2)/x^4, x)","F"
2200,0,-1,162,0.000000,"\text{Not used}","int((b + (a*x^2 + b^2)^(1/2))^(1/2)/(x^4*(a*x^2 + b^2)^(1/2)),x)","\int \frac{\sqrt{b+\sqrt{b^2+a\,x^2}}}{x^4\,\sqrt{b^2+a\,x^2}} \,d x","Not used",1,"int((b + (a*x^2 + b^2)^(1/2))^(1/2)/(x^4*(a*x^2 + b^2)^(1/2)), x)","F"
2201,0,-1,163,0.000000,"\text{Not used}","int(1/((x^6 - 1)*(x + x^3)^(1/3)),x)","\int \frac{1}{\left(x^6-1\right)\,{\left(x^3+x\right)}^{1/3}} \,d x","Not used",1,"int(1/((x^6 - 1)*(x + x^3)^(1/3)), x)","F"
2202,0,-1,163,0.000000,"\text{Not used}","int(1/((x^6 - 1)*(x + x^3)^(1/3)),x)","\int \frac{1}{\left(x^6-1\right)\,{\left(x^3+x\right)}^{1/3}} \,d x","Not used",1,"int(1/((x^6 - 1)*(x + x^3)^(1/3)), x)","F"
2203,0,-1,163,0.000000,"\text{Not used}","int(-((x^3 + 1)*(x^6 - x^3 - 2)^(1/2))/(x^4*(2*x^3 - x^6 + 1)),x)","\int -\frac{\left(x^3+1\right)\,\sqrt{x^6-x^3-2}}{x^4\,\left(-x^6+2\,x^3+1\right)} \,d x","Not used",1,"int(-((x^3 + 1)*(x^6 - x^3 - 2)^(1/2))/(x^4*(2*x^3 - x^6 + 1)), x)","F"
2204,0,-1,163,0.000000,"\text{Not used}","int(-(x^2*(7*x^3 - 4))/((x^4 - x)^(1/3)*(x^4 - x^7 + 1)),x)","-\int \frac{x^2\,\left(7\,x^3-4\right)}{{\left(x^4-x\right)}^{1/3}\,\left(-x^7+x^4+1\right)} \,d x","Not used",1,"-int((x^2*(7*x^3 - 4))/((x^4 - x)^(1/3)*(x^4 - x^7 + 1)), x)","F"
2205,0,-1,163,0.000000,"\text{Not used}","int((a*x^4 + x^8)/((a*x^4 - b*x^2)^(1/4)*(2*a*x^4 - b + x^8)),x)","\int \frac{x^8+a\,x^4}{{\left(a\,x^4-b\,x^2\right)}^{1/4}\,\left(x^8+2\,a\,x^4-b\right)} \,d x","Not used",1,"int((a*x^4 + x^8)/((a*x^4 - b*x^2)^(1/4)*(2*a*x^4 - b + x^8)), x)","F"
2206,0,-1,163,0.000000,"\text{Not used}","int((a*x^4 + x^8)/((a*x^4 - b*x^2)^(1/4)*(2*a*x^4 - b + x^8)),x)","\int \frac{x^8+a\,x^4}{{\left(a\,x^4-b\,x^2\right)}^{1/4}\,\left(x^8+2\,a\,x^4-b\right)} \,d x","Not used",1,"int((a*x^4 + x^8)/((a*x^4 - b*x^2)^(1/4)*(2*a*x^4 - b + x^8)), x)","F"
2207,0,-1,163,0.000000,"\text{Not used}","int(-((x^4 - 1)*(x^4 + 1)*(2*x^2 - x^4 + 1)^(1/2))/((x^2 - x^4 + 1)*(3*x^2 - x^4 - 3*x^6 + x^8 + 1)),x)","-\int \frac{\left(x^4-1\right)\,\left(x^4+1\right)\,\sqrt{-x^4+2\,x^2+1}}{\left(-x^4+x^2+1\right)\,\left(x^8-3\,x^6-x^4+3\,x^2+1\right)} \,d x","Not used",1,"-int(((x^4 - 1)*(x^4 + 1)*(2*x^2 - x^4 + 1)^(1/2))/((x^2 - x^4 + 1)*(3*x^2 - x^4 - 3*x^6 + x^8 + 1)), x)","F"
2208,0,-1,163,0.000000,"\text{Not used}","int(1/((x^2 - 1)*(x + (x^2 + 1)^(1/2))^(1/2)),x)","\int \frac{1}{\left(x^2-1\right)\,\sqrt{x+\sqrt{x^2+1}}} \,d x","Not used",1,"int(1/((x^2 - 1)*(x + (x^2 + 1)^(1/2))^(1/2)), x)","F"
2209,0,-1,163,0.000000,"\text{Not used}","int(((a^2*x^2)/b^2 - a/b^2)^(1/2)/(a*x^2 + b*x*((a^2*x^2)/b^2 - a/b^2)^(1/2))^(1/2),x)","\int \frac{\sqrt{\frac{a^2\,x^2}{b^2}-\frac{a}{b^2}}}{\sqrt{a\,x^2+b\,x\,\sqrt{\frac{a^2\,x^2}{b^2}-\frac{a}{b^2}}}} \,d x","Not used",1,"int(((a^2*x^2)/b^2 - a/b^2)^(1/2)/(a*x^2 + b*x*((a^2*x^2)/b^2 - a/b^2)^(1/2))^(1/2), x)","F"
2210,0,-1,163,0.000000,"\text{Not used}","int((a*x^2 + b*x*((a^2*x^2)/b^2 - a/b^2)^(1/2))^(1/2)*((a^2*x^2)/b^2 - a/b^2)^(1/2),x)","\int \sqrt{a\,x^2+b\,x\,\sqrt{\frac{a^2\,x^2}{b^2}-\frac{a}{b^2}}}\,\sqrt{\frac{a^2\,x^2}{b^2}-\frac{a}{b^2}} \,d x","Not used",1,"int((a*x^2 + b*x*((a^2*x^2)/b^2 - a/b^2)^(1/2))^(1/2)*((a^2*x^2)/b^2 - a/b^2)^(1/2), x)","F"
2211,0,-1,164,0.000000,"\text{Not used}","int(((x - 2)*(x - 3)*(2*x^3 - x + 2)^(2/3))/(x^6*(x + 2*x^3 - 2)),x)","\int \frac{\left(x-2\right)\,\left(x-3\right)\,{\left(2\,x^3-x+2\right)}^{2/3}}{x^6\,\left(2\,x^3+x-2\right)} \,d x","Not used",1,"int(((x - 2)*(x - 3)*(2*x^3 - x + 2)^(2/3))/(x^6*(x + 2*x^3 - 2)), x)","F"
2212,0,-1,164,0.000000,"\text{Not used}","int(-((x^3 + 1)^(2/3)*(x^3 + 2))/(x^6*(x^3 - x^6 + 2)),x)","\int -\frac{{\left(x^3+1\right)}^{2/3}\,\left(x^3+2\right)}{x^6\,\left(-x^6+x^3+2\right)} \,d x","Not used",1,"int(-((x^3 + 1)^(2/3)*(x^3 + 2))/(x^6*(x^3 - x^6 + 2)), x)","F"
2213,0,-1,164,0.000000,"\text{Not used}","int((b + a*x^6)/((d + c*x^6)*(x + x^3)^(1/3)),x)","\int \frac{a\,x^6+b}{\left(c\,x^6+d\right)\,{\left(x^3+x\right)}^{1/3}} \,d x","Not used",1,"int((b + a*x^6)/((d + c*x^6)*(x + x^3)^(1/3)), x)","F"
2214,0,-1,164,0.000000,"\text{Not used}","int((b + a*x^6)/((d + c*x^6)*(x + x^3)^(1/3)),x)","\int \frac{a\,x^6+b}{\left(c\,x^6+d\right)\,{\left(x^3+x\right)}^{1/3}} \,d x","Not used",1,"int((b + a*x^6)/((d + c*x^6)*(x + x^3)^(1/3)), x)","F"
2215,0,-1,165,0.000000,"\text{Not used}","int(1/((x + 2)*(x + x^2 + 1)^(1/3)),x)","\int \frac{1}{\left(x+2\right)\,{\left(x^2+x+1\right)}^{1/3}} \,d x","Not used",1,"int(1/((x + 2)*(x + x^2 + 1)^(1/3)), x)","F"
2216,0,-1,165,0.000000,"\text{Not used}","int(((2*x - 3)*(x + x^3 - 1)^(1/3))/(x^2*(x^3 - 2*x + 2)),x)","\int \frac{\left(2\,x-3\right)\,{\left(x^3+x-1\right)}^{1/3}}{x^2\,\left(x^3-2\,x+2\right)} \,d x","Not used",1,"int(((2*x - 3)*(x + x^3 - 1)^(1/3))/(x^2*(x^3 - 2*x + 2)), x)","F"
2217,0,-1,165,0.000000,"\text{Not used}","int((b^2*(2*a - b) + x^2*(2*a + b) - x^3 - b*x*(4*a - b))/((a - x)*(-(a - x)*(b - x)^2)^(1/4)*(a*d - x*(2*b + d) + b^2 + x^2)),x)","-\int -\frac{b^2\,\left(2\,a-b\right)+x^2\,\left(2\,a+b\right)-x^3-b\,x\,\left(4\,a-b\right)}{\left(a-x\right)\,{\left(-\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{1/4}\,\left(a\,d-x\,\left(2\,b+d\right)+b^2+x^2\right)} \,d x","Not used",1,"-int(-(b^2*(2*a - b) + x^2*(2*a + b) - x^3 - b*x*(4*a - b))/((a - x)*(-(a - x)*(b - x)^2)^(1/4)*(a*d - x*(2*b + d) + b^2 + x^2)), x)","F"
2218,0,-1,165,0.000000,"\text{Not used}","int(x^4/((b + a*x^4)^2*(a*x^4 + b*x^2)^(1/4)),x)","\int \frac{x^4}{{\left(a\,x^4+b\right)}^2\,{\left(a\,x^4+b\,x^2\right)}^{1/4}} \,d x","Not used",1,"int(x^4/((b + a*x^4)^2*(a*x^4 + b*x^2)^(1/4)), x)","F"
2219,0,-1,165,0.000000,"\text{Not used}","int(x^4/((b + a*x^4)^2*(a*x^4 + b*x^2)^(1/4)),x)","\int \frac{x^4}{{\left(a\,x^4+b\right)}^2\,{\left(a\,x^4+b\,x^2\right)}^{1/4}} \,d x","Not used",1,"int(x^4/((b + a*x^4)^2*(a*x^4 + b*x^2)^(1/4)), x)","F"
2220,0,-1,165,0.000000,"\text{Not used}","int(x^4/((b + a*x^4)^2*(a*x^4 + b*x^2)^(1/4)),x)","\int \frac{x^4}{{\left(a\,x^4+b\right)}^2\,{\left(a\,x^4+b\,x^2\right)}^{1/4}} \,d x","Not used",1,"int(x^4/((b + a*x^4)^2*(a*x^4 + b*x^2)^(1/4)), x)","F"
2221,0,-1,165,0.000000,"\text{Not used}","int(-((b + a*x^4)^(3/4)*(b - a*x^4))/(x^8*(b + 2*a*x^4)),x)","\int -\frac{{\left(a\,x^4+b\right)}^{3/4}\,\left(b-a\,x^4\right)}{x^8\,\left(2\,a\,x^4+b\right)} \,d x","Not used",1,"int(-((b + a*x^4)^(3/4)*(b - a*x^4))/(x^8*(b + 2*a*x^4)), x)","F"
2222,0,-1,165,0.000000,"\text{Not used}","int((x*(b + a*x)^(1/2))/(x + (c + (b + a*x)^(1/2))^(1/2)),x)","\int \frac{x\,\sqrt{b+a\,x}}{x+\sqrt{c+\sqrt{b+a\,x}}} \,d x","Not used",1,"int((x*(b + a*x)^(1/2))/(x + (c + (b + a*x)^(1/2))^(1/2)), x)","F"
2223,0,-1,165,0.000000,"\text{Not used}","int((x*(b + a*x)^(1/2))/(x + (c + (b + a*x)^(1/2))^(1/2)),x)","\int \frac{x\,\sqrt{b+a\,x}}{x+\sqrt{c+\sqrt{b+a\,x}}} \,d x","Not used",1,"int((x*(b + a*x)^(1/2))/(x + (c + (b + a*x)^(1/2))^(1/2)), x)","F"
2224,0,-1,166,0.000000,"\text{Not used}","int((1 - (1 - (1 - 1/x)^(1/2))^(1/2))^(1/2)/x,x)","\int \frac{\sqrt{1-\sqrt{1-\sqrt{1-\frac{1}{x}}}}}{x} \,d x","Not used",1,"int((1 - (1 - (1 - 1/x)^(1/2))^(1/2))^(1/2)/x, x)","F"
2225,0,-1,166,0.000000,"\text{Not used}","int((x^2*(a + b) - 2*a*b*x)/((x*(a - x)*(b - x))^(2/3)*(x^2*(d - 1) - d*x*(a + b) + a*b*d)),x)","\int \frac{x^2\,\left(a+b\right)-2\,a\,b\,x}{{\left(x\,\left(a-x\right)\,\left(b-x\right)\right)}^{2/3}\,\left(\left(d-1\right)\,x^2-d\,\left(a+b\right)\,x+a\,b\,d\right)} \,d x","Not used",1,"int((x^2*(a + b) - 2*a*b*x)/((x*(a - x)*(b - x))^(2/3)*(x^2*(d - 1) - d*x*(a + b) + a*b*d)), x)","F"
2226,1,95,166,1.390449,"\text{Not used}","int((a*x^3 - b)^(1/4)/x^7,x)","\frac{{\left(a\,x^3-b\right)}^{5/4}}{24\,b\,x^6}-\frac{{\left(a\,x^3-b\right)}^{1/4}}{8\,x^6}+\frac{a^2\,\mathrm{atan}\left(\frac{{\left(a\,x^3-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)}{16\,{\left(-b\right)}^{7/4}}-\frac{a^2\,\mathrm{atan}\left(\frac{{\left(a\,x^3-b\right)}^{1/4}\,1{}\mathrm{i}}{{\left(-b\right)}^{1/4}}\right)\,1{}\mathrm{i}}{16\,{\left(-b\right)}^{7/4}}","Not used",1,"(a*x^3 - b)^(5/4)/(24*b*x^6) - (a*x^3 - b)^(1/4)/(8*x^6) + (a^2*atan((a*x^3 - b)^(1/4)/(-b)^(1/4)))/(16*(-b)^(7/4)) - (a^2*atan(((a*x^3 - b)^(1/4)*1i)/(-b)^(1/4))*1i)/(16*(-b)^(7/4))","B"
2227,0,-1,166,0.000000,"\text{Not used}","int(-((b + 2*a*x^2)*(a*x^4 + b*x^2)^(1/4))/(b - a*x^2),x)","\int -\frac{\left(2\,a\,x^2+b\right)\,{\left(a\,x^4+b\,x^2\right)}^{1/4}}{b-a\,x^2} \,d x","Not used",1,"int(-((b + 2*a*x^2)*(a*x^4 + b*x^2)^(1/4))/(b - a*x^2), x)","F"
2228,1,202,166,7.932753,"\text{Not used}","int(-(b^4 - a^4*x^4)/((b^4 + a^4*x^4)*(a^2*x^3 - b^2*x)^(1/2)),x)","\frac{2^{1/4}\,\sqrt{-\frac{1}{8}{}\mathrm{i}}\,\ln\left(\frac{{\left(-1\right)}^{1/4}\,2^{3/4}\,b^2-{\left(-1\right)}^{1/4}\,2^{3/4}\,a^2\,x^2-2\,{\left(-1\right)}^{3/4}\,2^{1/4}\,a\,b\,x+\sqrt{a}\,\sqrt{b}\,\sqrt{a^2\,x^3-b^2\,x}\,4{}\mathrm{i}}{-a^2\,x^2+1{}\mathrm{i}\,\sqrt{2}\,a\,b\,x+b^2}\right)}{\sqrt{a}\,\sqrt{b}}+\frac{2^{1/4}\,\sqrt{\frac{1}{8}{}\mathrm{i}}\,\ln\left(\frac{{\left(-1\right)}^{3/4}\,2^{3/4}\,b^2-{\left(-1\right)}^{3/4}\,2^{3/4}\,a^2\,x^2-2\,{\left(-1\right)}^{1/4}\,2^{1/4}\,a\,b\,x+\sqrt{a}\,\sqrt{b}\,\sqrt{a^2\,x^3-b^2\,x}\,4{}\mathrm{i}}{a^2\,x^2+1{}\mathrm{i}\,\sqrt{2}\,a\,b\,x-b^2}\right)}{\sqrt{a}\,\sqrt{b}}","Not used",1,"(2^(1/4)*(-1i/8)^(1/2)*log((a^(1/2)*b^(1/2)*(a^2*x^3 - b^2*x)^(1/2)*4i + (-1)^(1/4)*2^(3/4)*b^2 - (-1)^(1/4)*2^(3/4)*a^2*x^2 - 2*(-1)^(3/4)*2^(1/4)*a*b*x)/(b^2 - a^2*x^2 + 2^(1/2)*a*b*x*1i)))/(a^(1/2)*b^(1/2)) + (2^(1/4)*(1i/8)^(1/2)*log((a^(1/2)*b^(1/2)*(a^2*x^3 - b^2*x)^(1/2)*4i + (-1)^(3/4)*2^(3/4)*b^2 - (-1)^(3/4)*2^(3/4)*a^2*x^2 - 2*(-1)^(1/4)*2^(1/4)*a*b*x)/(a^2*x^2 - b^2 + 2^(1/2)*a*b*x*1i)))/(a^(1/2)*b^(1/2))","B"
2229,0,-1,166,0.000000,"\text{Not used}","int((x^5 - 1)/((x^4 + 1)^(1/2)*(x^5 + 1)),x)","\int \frac{x^5-1}{\sqrt{x^4+1}\,\left(x^5+1\right)} \,d x","Not used",1,"int((x^5 - 1)/((x^4 + 1)^(1/2)*(x^5 + 1)), x)","F"
2230,0,-1,166,0.000000,"\text{Not used}","int((x^5 - 1)/((x^4 + 1)^(1/2)*(x^5 + 1)),x)","\int \frac{x^5-1}{\sqrt{x^4+1}\,\left(x^5+1\right)} \,d x","Not used",1,"int((x^5 - 1)/((x^4 + 1)^(1/2)*(x^5 + 1)), x)","F"
2231,0,-1,166,0.000000,"\text{Not used}","int((x^5 + 1)/((x^4 + 1)^(1/2)*(x^5 - 1)),x)","\int \frac{x^5+1}{\sqrt{x^4+1}\,\left(x^5-1\right)} \,d x","Not used",1,"int((x^5 + 1)/((x^4 + 1)^(1/2)*(x^5 - 1)), x)","F"
2232,0,-1,166,0.000000,"\text{Not used}","int((x^5 + 1)/((x^4 + 1)^(1/2)*(x^5 - 1)),x)","\int \frac{x^5+1}{\sqrt{x^4+1}\,\left(x^5-1\right)} \,d x","Not used",1,"int((x^5 + 1)/((x^4 + 1)^(1/2)*(x^5 - 1)), x)","F"
2233,0,-1,166,0.000000,"\text{Not used}","int(-(b^6 - a^6*x^6)/((b^4 + a^4*x^4)^(1/2)*(b^6 + a^6*x^6)),x)","\int -\frac{b^6-a^6\,x^6}{\sqrt{a^4\,x^4+b^4}\,\left(a^6\,x^6+b^6\right)} \,d x","Not used",1,"int(-(b^6 - a^6*x^6)/((b^4 + a^4*x^4)^(1/2)*(b^6 + a^6*x^6)), x)","F"
2234,0,-1,167,0.000000,"\text{Not used}","int(-(2*a*b - x*(a + b))/((x*(a - x)*(b - x))^(1/3)*(x^2*(d - 1) - d*x*(a + b) + a*b*d)),x)","\int -\frac{2\,a\,b-x\,\left(a+b\right)}{{\left(x\,\left(a-x\right)\,\left(b-x\right)\right)}^{1/3}\,\left(\left(d-1\right)\,x^2-d\,\left(a+b\right)\,x+a\,b\,d\right)} \,d x","Not used",1,"int(-(2*a*b - x*(a + b))/((x*(a - x)*(b - x))^(1/3)*(x^2*(d - 1) - d*x*(a + b) + a*b*d)), x)","F"
2235,1,98,167,1.401268,"\text{Not used}","int(1/(x^7*(a*x^3 - b)^(3/4)),x)","\frac{11\,{\left(a\,x^3-b\right)}^{1/4}}{24\,b\,x^6}+\frac{7\,{\left(a\,x^3-b\right)}^{5/4}}{24\,b^2\,x^6}-\frac{7\,a^2\,\mathrm{atan}\left(\frac{{\left(a\,x^3-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)}{16\,{\left(-b\right)}^{11/4}}+\frac{a^2\,\mathrm{atan}\left(\frac{{\left(a\,x^3-b\right)}^{1/4}\,1{}\mathrm{i}}{{\left(-b\right)}^{1/4}}\right)\,7{}\mathrm{i}}{16\,{\left(-b\right)}^{11/4}}","Not used",1,"(11*(a*x^3 - b)^(1/4))/(24*b*x^6) + (7*(a*x^3 - b)^(5/4))/(24*b^2*x^6) - (7*a^2*atan((a*x^3 - b)^(1/4)/(-b)^(1/4)))/(16*(-b)^(11/4)) + (a^2*atan(((a*x^3 - b)^(1/4)*1i)/(-b)^(1/4))*7i)/(16*(-b)^(11/4))","B"
2236,1,98,167,1.319156,"\text{Not used}","int(1/(x^7*(a*x^3 - b)^(1/4)),x)","\frac{3\,{\left(a\,x^3-b\right)}^{3/4}}{8\,b\,x^6}+\frac{5\,{\left(a\,x^3-b\right)}^{7/4}}{24\,b^2\,x^6}+\frac{5\,a^2\,\mathrm{atan}\left(\frac{{\left(a\,x^3-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)}{48\,{\left(-b\right)}^{9/4}}+\frac{a^2\,\mathrm{atan}\left(\frac{{\left(a\,x^3-b\right)}^{1/4}\,1{}\mathrm{i}}{{\left(-b\right)}^{1/4}}\right)\,5{}\mathrm{i}}{48\,{\left(-b\right)}^{9/4}}","Not used",1,"(3*(a*x^3 - b)^(3/4))/(8*b*x^6) + (5*(a*x^3 - b)^(7/4))/(24*b^2*x^6) + (5*a^2*atan((a*x^3 - b)^(1/4)/(-b)^(1/4)))/(48*(-b)^(9/4)) + (a^2*atan(((a*x^3 - b)^(1/4)*1i)/(-b)^(1/4))*5i)/(48*(-b)^(9/4))","B"
2237,0,-1,167,0.000000,"\text{Not used}","int((x^2 + 1)/((x^2 + x^4)^(1/3)*(x^2 - 1)),x)","\int \frac{x^2+1}{{\left(x^4+x^2\right)}^{1/3}\,\left(x^2-1\right)} \,d x","Not used",1,"int((x^2 + 1)/((x^2 + x^4)^(1/3)*(x^2 - 1)), x)","F"
2238,0,-1,167,0.000000,"\text{Not used}","int(-((x^4 - 1)^(2/3)*(x^4 + 3)*(x^3 - 2*x^4 + 2))/(x^6*(3*x^3 + 2*x^4 - 2)),x)","\int -\frac{{\left(x^4-1\right)}^{2/3}\,\left(x^4+3\right)\,\left(-2\,x^4+x^3+2\right)}{x^6\,\left(2\,x^4+3\,x^3-2\right)} \,d x","Not used",1,"int(-((x^4 - 1)^(2/3)*(x^4 + 3)*(x^3 - 2*x^4 + 2))/(x^6*(3*x^3 + 2*x^4 - 2)), x)","F"
2239,1,98,167,1.394626,"\text{Not used}","int(1/(x^9*(a*x^4 - b)^(3/4)),x)","\frac{11\,{\left(a\,x^4-b\right)}^{1/4}}{32\,b\,x^8}+\frac{7\,{\left(a\,x^4-b\right)}^{5/4}}{32\,b^2\,x^8}-\frac{21\,a^2\,\mathrm{atan}\left(\frac{{\left(a\,x^4-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)}{64\,{\left(-b\right)}^{11/4}}+\frac{a^2\,\mathrm{atan}\left(\frac{{\left(a\,x^4-b\right)}^{1/4}\,1{}\mathrm{i}}{{\left(-b\right)}^{1/4}}\right)\,21{}\mathrm{i}}{64\,{\left(-b\right)}^{11/4}}","Not used",1,"(11*(a*x^4 - b)^(1/4))/(32*b*x^8) + (7*(a*x^4 - b)^(5/4))/(32*b^2*x^8) - (21*a^2*atan((a*x^4 - b)^(1/4)/(-b)^(1/4)))/(64*(-b)^(11/4)) + (a^2*atan(((a*x^4 - b)^(1/4)*1i)/(-b)^(1/4))*21i)/(64*(-b)^(11/4))","B"
2240,-1,-1,167,0.000000,"\text{Not used}","int(-(c*x^2 + b^2 + a^2*x^4)/((b^2 - a^2*x^4)*(b*x + a*x^3)^(1/2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
2241,1,98,167,1.465464,"\text{Not used}","int(1/(x^11*(a*x^5 - b)^(3/4)),x)","\frac{11\,{\left(a\,x^5-b\right)}^{1/4}}{40\,b\,x^{10}}+\frac{7\,{\left(a\,x^5-b\right)}^{5/4}}{40\,b^2\,x^{10}}-\frac{21\,a^2\,\mathrm{atan}\left(\frac{{\left(a\,x^5-b\right)}^{1/4}}{{\left(-b\right)}^{1/4}}\right)}{80\,{\left(-b\right)}^{11/4}}+\frac{a^2\,\mathrm{atan}\left(\frac{{\left(a\,x^5-b\right)}^{1/4}\,1{}\mathrm{i}}{{\left(-b\right)}^{1/4}}\right)\,21{}\mathrm{i}}{80\,{\left(-b\right)}^{11/4}}","Not used",1,"(11*(a*x^5 - b)^(1/4))/(40*b*x^10) + (7*(a*x^5 - b)^(5/4))/(40*b^2*x^10) - (21*a^2*atan((a*x^5 - b)^(1/4)/(-b)^(1/4)))/(80*(-b)^(11/4)) + (a^2*atan(((a*x^5 - b)^(1/4)*1i)/(-b)^(1/4))*21i)/(80*(-b)^(11/4))","B"
2242,0,-1,167,0.000000,"\text{Not used}","int((x^6 + 1)/((x^6 - 1)*(x^4 - x^2)^(1/3)),x)","\int \frac{x^6+1}{\left(x^6-1\right)\,{\left(x^4-x^2\right)}^{1/3}} \,d x","Not used",1,"int((x^6 + 1)/((x^6 - 1)*(x^4 - x^2)^(1/3)), x)","F"
2243,1,201,167,5.787928,"\text{Not used}","int(-(b^6 - a^6*x^6)/((b^6 + a^6*x^6)*(b^2*x + a^2*x^3)^(1/2)),x)","\frac{3^{3/4}\,\ln\left(\frac{3^{3/4}\,b^2-6\,\sqrt{a}\,\sqrt{b}\,\sqrt{a^2\,x^3+b^2\,x}+3^{3/4}\,a^2\,x^2+3\,3^{1/4}\,a\,b\,x}{a^2\,x^2-\sqrt{3}\,a\,b\,x+b^2}\right)}{9\,\sqrt{a}\,\sqrt{b}}-\frac{2\,\sqrt{a^2\,x^3+b^2\,x}}{3\,\left(a^2\,x^2+b^2\right)}+\frac{3^{3/4}\,\ln\left(\frac{3^{3/4}\,b^2+3^{3/4}\,a^2\,x^2-3\,3^{1/4}\,a\,b\,x+\sqrt{a}\,\sqrt{b}\,\sqrt{a^2\,x^3+b^2\,x}\,6{}\mathrm{i}}{a^2\,x^2+\sqrt{3}\,a\,b\,x+b^2}\right)\,1{}\mathrm{i}}{9\,\sqrt{a}\,\sqrt{b}}","Not used",1,"(3^(3/4)*log((3^(3/4)*b^2 - 6*a^(1/2)*b^(1/2)*(b^2*x + a^2*x^3)^(1/2) + 3^(3/4)*a^2*x^2 + 3*3^(1/4)*a*b*x)/(b^2 + a^2*x^2 - 3^(1/2)*a*b*x)))/(9*a^(1/2)*b^(1/2)) - (2*(b^2*x + a^2*x^3)^(1/2))/(3*(b^2 + a^2*x^2)) + (3^(3/4)*log((3^(3/4)*b^2 + a^(1/2)*b^(1/2)*(b^2*x + a^2*x^3)^(1/2)*6i + 3^(3/4)*a^2*x^2 - 3*3^(1/4)*a*b*x)/(b^2 + a^2*x^2 + 3^(1/2)*a*b*x))*1i)/(9*a^(1/2)*b^(1/2))","B"
2244,0,-1,167,0.000000,"\text{Not used}","int((a*x^2 + 1)/(((b + a^2*x^2)^(1/2) + a*x)^(1/2)*(a*x^2 - 1)),x)","\int \frac{a\,x^2+1}{\sqrt{\sqrt{a^2\,x^2+b}+a\,x}\,\left(a\,x^2-1\right)} \,d x","Not used",1,"int((a*x^2 + 1)/(((b + a^2*x^2)^(1/2) + a*x)^(1/2)*(a*x^2 - 1)), x)","F"
2245,0,-1,167,0.000000,"\text{Not used}","int(((a^2*x^2)/b^2 - a/b^2)^(1/2)/(x^2*(a*x^2 + b*x*((a^2*x^2)/b^2 - a/b^2)^(1/2))^(1/2)),x)","\int \frac{\sqrt{\frac{a^2\,x^2}{b^2}-\frac{a}{b^2}}}{x^2\,\sqrt{a\,x^2+b\,x\,\sqrt{\frac{a^2\,x^2}{b^2}-\frac{a}{b^2}}}} \,d x","Not used",1,"int(((a^2*x^2)/b^2 - a/b^2)^(1/2)/(x^2*(a*x^2 + b*x*((a^2*x^2)/b^2 - a/b^2)^(1/2))^(1/2)), x)","F"
2246,0,-1,167,0.000000,"\text{Not used}","int(-((q + p*x^3)^(1/2)*(2*q - p*x^3))/(a*(q + p*x^3)^2 + b*x^4),x)","\int -\frac{\sqrt{p\,x^3+q}\,\left(2\,q-p\,x^3\right)}{a\,{\left(p\,x^3+q\right)}^2+b\,x^4} \,d x","Not used",1,"int(-((q + p*x^3)^(1/2)*(2*q - p*x^3))/(a*(q + p*x^3)^2 + b*x^4), x)","F"
2247,0,-1,167,0.000000,"\text{Not used}","int(x^4*(x^4 + 1)^(1/2)*((x^4 + 1)^(1/2) + x^2)^(1/2),x)","\int x^4\,\sqrt{x^4+1}\,\sqrt{\sqrt{x^4+1}+x^2} \,d x","Not used",1,"int(x^4*(x^4 + 1)^(1/2)*((x^4 + 1)^(1/2) + x^2)^(1/2), x)","F"
2248,1,498,167,150.610517,"\text{Not used}","int(-((q + p*x^5)^(1/2)*(2*q - 3*p*x^5))/(a*(q + p*x^5)^2 + b*x^4),x)","\frac{\ln\left(\frac{\left(2\,\sqrt{p\,x^5+q}\,{\left(-a^3\,b\right)}^{15/4}-a^{23/2}\,b^{7/2}\,p\,x^4+a^{19/2}\,b^{7/2}\,x\,\sqrt{-a^3\,b}\right)\,\left(2\,a^{27/2}\,b^{7/2}\,q\,\sqrt{p\,x^5+q}\,{\left(-a^3\,b\right)}^{15/4}-a^{24}\,b^8\,x^3+a^{25}\,b^7\,p\,x^4\,\left(p\,x^5+q\right)+a^{23}\,b^7\,q\,x\,\sqrt{-a^3\,b}+2\,a^{23}\,b^7\,x\,\left(p\,x^5+q\right)\,\sqrt{-a^3\,b}\right)}{\left(x^2\,\sqrt{-a^3\,b}+a^2\,q+a^2\,p\,x^5\right)\,\left(4\,q\,{\left(-a^3\,b\right)}^{15/2}+2\,p\,x^5\,{\left(-a^3\,b\right)}^{15/2}+a^{22}\,b^8\,x^2-a^{23}\,b^7\,p^2\,x^8\right)}\right)\,{\left(-a^3\,b\right)}^{1/4}}{2\,a^{3/2}\,\sqrt{b}}+\frac{\ln\left(\frac{\left(-2\,\sqrt{p\,x^5+q}\,{\left(-a^3\,b\right)}^{15/4}+a^{23/2}\,b^{7/2}\,p\,x^4\,1{}\mathrm{i}+a^{19/2}\,b^{7/2}\,x\,\sqrt{-a^3\,b}\,1{}\mathrm{i}\right)\,\left(a^{24}\,b^8\,x^3\,1{}\mathrm{i}-2\,a^{27/2}\,b^{7/2}\,q\,\sqrt{p\,x^5+q}\,{\left(-a^3\,b\right)}^{15/4}-a^{25}\,b^7\,p\,x^4\,\left(p\,x^5+q\right)\,1{}\mathrm{i}+a^{23}\,b^7\,q\,x\,\sqrt{-a^3\,b}\,1{}\mathrm{i}+a^{23}\,b^7\,x\,\left(p\,x^5+q\right)\,\sqrt{-a^3\,b}\,2{}\mathrm{i}\right)}{\left(a^2\,q-x^2\,\sqrt{-a^3\,b}+a^2\,p\,x^5\right)\,\left(4\,q\,{\left(-a^3\,b\right)}^{15/2}+2\,p\,x^5\,{\left(-a^3\,b\right)}^{15/2}-a^{22}\,b^8\,x^2+a^{23}\,b^7\,p^2\,x^8\right)}\right)\,{\left(-a^3\,b\right)}^{1/4}\,1{}\mathrm{i}}{2\,a^{3/2}\,\sqrt{b}}","Not used",1,"(log(((2*(q + p*x^5)^(1/2)*(-a^3*b)^(15/4) - a^(23/2)*b^(7/2)*p*x^4 + a^(19/2)*b^(7/2)*x*(-a^3*b)^(1/2))*(2*a^(27/2)*b^(7/2)*q*(q + p*x^5)^(1/2)*(-a^3*b)^(15/4) - a^24*b^8*x^3 + a^25*b^7*p*x^4*(q + p*x^5) + a^23*b^7*q*x*(-a^3*b)^(1/2) + 2*a^23*b^7*x*(q + p*x^5)*(-a^3*b)^(1/2)))/((x^2*(-a^3*b)^(1/2) + a^2*q + a^2*p*x^5)*(4*q*(-a^3*b)^(15/2) + 2*p*x^5*(-a^3*b)^(15/2) + a^22*b^8*x^2 - a^23*b^7*p^2*x^8)))*(-a^3*b)^(1/4))/(2*a^(3/2)*b^(1/2)) + (log(((a^(23/2)*b^(7/2)*p*x^4*1i - 2*(q + p*x^5)^(1/2)*(-a^3*b)^(15/4) + a^(19/2)*b^(7/2)*x*(-a^3*b)^(1/2)*1i)*(a^24*b^8*x^3*1i - 2*a^(27/2)*b^(7/2)*q*(q + p*x^5)^(1/2)*(-a^3*b)^(15/4) - a^25*b^7*p*x^4*(q + p*x^5)*1i + a^23*b^7*q*x*(-a^3*b)^(1/2)*1i + a^23*b^7*x*(q + p*x^5)*(-a^3*b)^(1/2)*2i))/((a^2*q - x^2*(-a^3*b)^(1/2) + a^2*p*x^5)*(4*q*(-a^3*b)^(15/2) + 2*p*x^5*(-a^3*b)^(15/2) - a^22*b^8*x^2 + a^23*b^7*p^2*x^8)))*(-a^3*b)^(1/4)*1i)/(2*a^(3/2)*b^(1/2))","B"
2249,0,-1,168,0.000000,"\text{Not used}","int((x - 3)/((1 - x^2)^(1/3)*(x^2 + 3)),x)","\int \frac{x-3}{{\left(1-x^2\right)}^{1/3}\,\left(x^2+3\right)} \,d x","Not used",1,"int((x - 3)/((1 - x^2)^(1/3)*(x^2 + 3)), x)","F"
2250,0,-1,168,0.000000,"\text{Not used}","int(-(x^3*(3*a*b - x*(a + 2*b)))/((a - x)*(b - x)*(-x*(a - x)*(b - x)^2)^(1/4)*(x^3*(d - 1) - d*x^2*(a + 2*b) - a*b^2*d + b*d*x*(2*a + b))),x)","-\int \frac{x^3\,\left(3\,a\,b-x\,\left(a+2\,b\right)\right)}{\left(a-x\right)\,\left(b-x\right)\,{\left(-x\,\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{1/4}\,\left(x^3\,\left(d-1\right)-d\,x^2\,\left(a+2\,b\right)-a\,b^2\,d+b\,d\,x\,\left(2\,a+b\right)\right)} \,d x","Not used",1,"-int((x^3*(3*a*b - x*(a + 2*b)))/((a - x)*(b - x)*(-x*(a - x)*(b - x)^2)^(1/4)*(x^3*(d - 1) - d*x^2*(a + 2*b) - a*b^2*d + b*d*x*(2*a + b))), x)","F"
2251,0,-1,168,0.000000,"\text{Not used}","int((a*x + (b^2 + a^2*x^2)^(1/2))/(b + (a*x + (b^2 + a^2*x^2)^(1/2))^(1/2)),x)","\int \frac{a\,x+\sqrt{a^2\,x^2+b^2}}{b+\sqrt{a\,x+\sqrt{a^2\,x^2+b^2}}} \,d x","Not used",1,"int((a*x + (b^2 + a^2*x^2)^(1/2))/(b + (a*x + (b^2 + a^2*x^2)^(1/2))^(1/2)), x)","F"
2252,0,-1,169,0.000000,"\text{Not used}","int(1/((x^2 + 3)*(3*x^2 + 1)^(1/3)),x)","\int \frac{1}{\left(x^2+3\right)\,{\left(3\,x^2+1\right)}^{1/3}} \,d x","Not used",1,"int(1/((x^2 + 3)*(3*x^2 + 1)^(1/3)), x)","F"
2253,0,-1,169,0.000000,"\text{Not used}","int(((x^3 + x^5)^(1/4)*(x^2 + 1))/(x^2*(x^2 - 1)),x)","\int \frac{{\left(x^5+x^3\right)}^{1/4}\,\left(x^2+1\right)}{x^2\,\left(x^2-1\right)} \,d x","Not used",1,"int(((x^3 + x^5)^(1/4)*(x^2 + 1))/(x^2*(x^2 - 1)), x)","F"
2254,0,-1,170,0.000000,"\text{Not used}","int(-((x^2 + x^5 + 4)*(2*x^5 - 2*x^4 - x^2 - 2)^(1/4))/(x^2*(x^2 - 2*x^5 + 2)),x)","\int -\frac{\left(x^5+x^2+4\right)\,{\left(2\,x^5-2\,x^4-x^2-2\right)}^{1/4}}{x^2\,\left(-2\,x^5+x^2+2\right)} \,d x","Not used",1,"int(-((x^2 + x^5 + 4)*(2*x^5 - 2*x^4 - x^2 - 2)^(1/4))/(x^2*(x^2 - 2*x^5 + 2)), x)","F"
2255,0,-1,170,0.000000,"\text{Not used}","int(((x^4 - 1)^2*((x^4 + 1)^(1/2) + x^2)^(1/2))/(x^4 + 1)^2,x)","\int \frac{{\left(x^4-1\right)}^2\,\sqrt{\sqrt{x^4+1}+x^2}}{{\left(x^4+1\right)}^2} \,d x","Not used",1,"int(((x^4 - 1)^2*((x^4 + 1)^(1/2) + x^2)^(1/2))/(x^4 + 1)^2, x)","F"
2256,0,-1,170,0.000000,"\text{Not used}","int((x^2 - 1)/((x^2 + 1)*(((x + 1)^(1/2) + 1)^(1/2) + 1)^(1/2)*(x + 1)^(1/2)),x)","\int \frac{x^2-1}{\left(x^2+1\right)\,\sqrt{\sqrt{\sqrt{x+1}+1}+1}\,\sqrt{x+1}} \,d x","Not used",1,"int((x^2 - 1)/((x^2 + 1)*(((x + 1)^(1/2) + 1)^(1/2) + 1)^(1/2)*(x + 1)^(1/2)), x)","F"
2257,0,-1,170,0.000000,"\text{Not used}","int((x^2 - 1)/((x^2 + 1)*(((x + 1)^(1/2) + 1)^(1/2) + 1)^(1/2)*(x + 1)^(1/2)),x)","\int \frac{x^2-1}{\left(x^2+1\right)\,\sqrt{\sqrt{\sqrt{x+1}+1}+1}\,\sqrt{x+1}} \,d x","Not used",1,"int((x^2 - 1)/((x^2 + 1)*(((x + 1)^(1/2) + 1)^(1/2) + 1)^(1/2)*(x + 1)^(1/2)), x)","F"
2258,0,-1,171,0.000000,"\text{Not used}","int(1/(1 - x^(1/2))^(1/2) - (1 - x^(1/2) - x)^(1/2),x)","-\int \sqrt{1-\sqrt{x}-x}-\frac{1}{\sqrt{1-\sqrt{x}}} \,d x","Not used",1,"-int((1 - x^(1/2) - x)^(1/2) - 1/(1 - x^(1/2))^(1/2), x)","F"
2259,0,-1,171,0.000000,"\text{Not used}","int((x - 5)/((x^2 - x - 2)^(1/3)*(4*x + x^2 - 3)),x)","\int \frac{x-5}{{\left(x^2-x-2\right)}^{1/3}\,\left(x^2+4\,x-3\right)} \,d x","Not used",1,"int((x - 5)/((x^2 - x - 2)^(1/3)*(4*x + x^2 - 3)), x)","F"
2260,0,-1,171,0.000000,"\text{Not used}","int(-((a - x)*(b - 2*a + x))/((-(a - x)*(b - x)^2)^(3/4)*(a - x*(2*b*d + 1) + b^2*d + d*x^2)),x)","\int -\frac{\left(a-x\right)\,\left(b-2\,a+x\right)}{{\left(-\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{3/4}\,\left(a-x\,\left(2\,b\,d+1\right)+b^2\,d+d\,x^2\right)} \,d x","Not used",1,"int(-((a - x)*(b - 2*a + x))/((-(a - x)*(b - x)^2)^(3/4)*(a - x*(2*b*d + 1) + b^2*d + d*x^2)), x)","F"
2261,0,-1,171,0.000000,"\text{Not used}","int((x + 1)/((1 - x^3)^(1/3)*(4*x + x^2 + 1)),x)","\int \frac{x+1}{{\left(1-x^3\right)}^{1/3}\,\left(x^2+4\,x+1\right)} \,d x","Not used",1,"int((x + 1)/((1 - x^3)^(1/3)*(4*x + x^2 + 1)), x)","F"
2262,0,-1,171,0.000000,"\text{Not used}","int(x^4/((b - a*x^4)^2*(a*x^4 + b*x^2)^(1/4)),x)","\int \frac{x^4}{{\left(b-a\,x^4\right)}^2\,{\left(a\,x^4+b\,x^2\right)}^{1/4}} \,d x","Not used",1,"int(x^4/((b - a*x^4)^2*(a*x^4 + b*x^2)^(1/4)), x)","F"
2263,0,-1,171,0.000000,"\text{Not used}","int(x^4/((b - a*x^4)^2*(a*x^4 + b*x^2)^(1/4)),x)","\int \frac{x^4}{{\left(b-a\,x^4\right)}^2\,{\left(a\,x^4+b\,x^2\right)}^{1/4}} \,d x","Not used",1,"int(x^4/((b - a*x^4)^2*(a*x^4 + b*x^2)^(1/4)), x)","F"
2264,0,-1,171,0.000000,"\text{Not used}","int(x^4/((b - a*x^4)^2*(a*x^4 + b*x^2)^(1/4)),x)","\int \frac{x^4}{{\left(b-a\,x^4\right)}^2\,{\left(a\,x^4+b\,x^2\right)}^{1/4}} \,d x","Not used",1,"int(x^4/((b - a*x^4)^2*(a*x^4 + b*x^2)^(1/4)), x)","F"
2265,0,-1,171,0.000000,"\text{Not used}","int(x^8/((x^4 - 1)^(1/2)*(x^16 - 1)),x)","\int \frac{x^8}{\sqrt{x^4-1}\,\left(x^{16}-1\right)} \,d x","Not used",1,"int(x^8/((x^4 - 1)^(1/2)*(x^16 - 1)), x)","F"
2266,0,-1,171,0.000000,"\text{Not used}","int((b + (a*x^2 + b^2)^(1/2))^(1/2)/(a*x^2 + b^2)^4,x)","\int \frac{\sqrt{b+\sqrt{b^2+a\,x^2}}}{{\left(b^2+a\,x^2\right)}^4} \,d x","Not used",1,"int((b + (a*x^2 + b^2)^(1/2))^(1/2)/(a*x^2 + b^2)^4, x)","F"
2267,0,-1,171,0.000000,"\text{Not used}","int(((x^4 + 1)^(1/2) + x^2)^(1/2)/(x^2 + 1),x)","\int \frac{\sqrt{\sqrt{x^4+1}+x^2}}{x^2+1} \,d x","Not used",1,"int(((x^4 + 1)^(1/2) + x^2)^(1/2)/(x^2 + 1), x)","F"
2268,0,-1,172,0.000000,"\text{Not used}","int((1 - (1 - (1 - 1/x^2)^(1/2))^(1/2))^(1/2)/x,x)","\int \frac{\sqrt{1-\sqrt{1-\sqrt{1-\frac{1}{x^2}}}}}{x} \,d x","Not used",1,"int((1 - (1 - (1 - 1/x^2)^(1/2))^(1/2))^(1/2)/x, x)","F"
2269,0,-1,172,0.000000,"\text{Not used}","int(1/((1 - x^3)^(1/3)*(x + 1)),x)","\int \frac{1}{{\left(1-x^3\right)}^{1/3}\,\left(x+1\right)} \,d x","Not used",1,"int(1/((1 - x^3)^(1/3)*(x + 1)), x)","F"
2270,0,-1,173,0.000000,"\text{Not used}","int(((b^2 - 2*b*x + x^2)*(a*b - 2*b*x + x^2))/((b*d + x^2 - x*(a + d))*(x*(a - x)*(b - x)^3)^(3/4)),x)","\int \frac{\left(b^2-2\,b\,x+x^2\right)\,\left(x^2-2\,b\,x+a\,b\right)}{\left(x^2+\left(-a-d\right)\,x+b\,d\right)\,{\left(x\,\left(a-x\right)\,{\left(b-x\right)}^3\right)}^{3/4}} \,d x","Not used",1,"int(((b^2 - 2*b*x + x^2)*(a*b - 2*b*x + x^2))/((b*d + x^2 - x*(a + d))*(x*(a - x)*(b - x)^3)^(3/4)), x)","F"
2271,0,-1,173,0.000000,"\text{Not used}","int(-(2*a*b - x*(a + b))/((x*(a - x)*(b - x))^(1/3)*(x*(a + b) - a*b + x^2*(d - 1))),x)","-\int \frac{2\,a\,b-x\,\left(a+b\right)}{{\left(x\,\left(a-x\right)\,\left(b-x\right)\right)}^{1/3}\,\left(\left(d-1\right)\,x^2+\left(a+b\right)\,x-a\,b\right)} \,d x","Not used",1,"-int((2*a*b - x*(a + b))/((x*(a - x)*(b - x))^(1/3)*(x*(a + b) - a*b + x^2*(d - 1))), x)","F"
2272,0,-1,173,0.000000,"\text{Not used}","int(((x^3 - 1)^(2/3)*(x^3 + 1))/(x^6*(x^3 + 2)),x)","\int \frac{{\left(x^3-1\right)}^{2/3}\,\left(x^3+1\right)}{x^6\,\left(x^3+2\right)} \,d x","Not used",1,"int(((x^3 - 1)^(2/3)*(x^3 + 1))/(x^6*(x^3 + 2)), x)","F"
2273,0,-1,173,0.000000,"\text{Not used}","int(1/((x + 1)*(3*x - 2*x^2 + 3*x^3 - 2*x^4 - 2)^(3/2)),x)","\int \frac{1}{\left(x+1\right)\,{\left(-2\,x^4+3\,x^3-2\,x^2+3\,x-2\right)}^{3/2}} \,d x","Not used",1,"int(1/((x + 1)*(3*x - 2*x^2 + 3*x^3 - 2*x^4 - 2)^(3/2)), x)","F"
2274,0,-1,173,0.000000,"\text{Not used}","int((x^2*(x^3 + x^4)^(1/4))/(x^4 - 1),x)","\int \frac{x^2\,{\left(x^4+x^3\right)}^{1/4}}{x^4-1} \,d x","Not used",1,"int((x^2*(x^3 + x^4)^(1/4))/(x^4 - 1), x)","F"
2275,0,-1,173,0.000000,"\text{Not used}","int((x^2*(x^3 + x^4)^(1/4))/(x^4 - 1),x)","\int \frac{x^2\,{\left(x^4+x^3\right)}^{1/4}}{x^4-1} \,d x","Not used",1,"int((x^2*(x^3 + x^4)^(1/4))/(x^4 - 1), x)","F"
2276,0,-1,173,0.000000,"\text{Not used}","int(1/((x^3 - x)^(1/3)*(x^6 + 1)),x)","\int \frac{1}{{\left(x^3-x\right)}^{1/3}\,\left(x^6+1\right)} \,d x","Not used",1,"int(1/((x^3 - x)^(1/3)*(x^6 + 1)), x)","F"
2277,0,-1,173,0.000000,"\text{Not used}","int(1/((x^3 - x)^(1/3)*(x^6 + 1)),x)","\int \frac{1}{{\left(x^3-x\right)}^{1/3}\,\left(x^6+1\right)} \,d x","Not used",1,"int(1/((x^3 - x)^(1/3)*(x^6 + 1)), x)","F"
2278,0,-1,173,0.000000,"\text{Not used}","int(-(x^4 - x)^(1/2)/(b - a*x^6),x)","-\int \frac{\sqrt{x^4-x}}{b-a\,x^6} \,d x","Not used",1,"-int((x^4 - x)^(1/2)/(b - a*x^6), x)","F"
2279,0,-1,173,0.000000,"\text{Not used}","int(((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)","\int \frac{\left(2\,x^8+1\right)\,{\left(2\,x^8-2\,x^4-1\right)}^{1/4}\,\left(4\,x^{16}-3\,x^8+1\right)}{x^{10}\,\left(2\,x^8-1\right)} \,d x","Not used",1,"int(((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)","F"
2280,0,-1,173,0.000000,"\text{Not used}","int((a*x^2 + b^2)^(3/2)/(b + (a*x^2 + b^2)^(1/2))^(1/2),x)","\int \frac{{\left(b^2+a\,x^2\right)}^{3/2}}{\sqrt{b+\sqrt{b^2+a\,x^2}}} \,d x","Not used",1,"int((a*x^2 + b^2)^(3/2)/(b + (a*x^2 + b^2)^(1/2))^(1/2), x)","F"
2281,0,-1,173,0.000000,"\text{Not used}","int(-(x*(q + p*x^6)^(1/2)*(2*q - p*x^6))/(a*(q + p*x^6)^2 + b*x^8),x)","\int -\frac{x\,\sqrt{p\,x^6+q}\,\left(2\,q-p\,x^6\right)}{a\,{\left(p\,x^6+q\right)}^2+b\,x^8} \,d x","Not used",1,"int(-(x*(q + p*x^6)^(1/2)*(2*q - p*x^6))/(a*(q + p*x^6)^2 + b*x^8), x)","F"
2282,0,-1,174,0.000000,"\text{Not used}","int((6*x^2 - 2*x - 1)^(1/3)/(6*x - 1),x)","\int \frac{{\left(6\,x^2-2\,x-1\right)}^{1/3}}{6\,x-1} \,d x","Not used",1,"int((6*x^2 - 2*x - 1)^(1/3)/(6*x - 1), x)","F"
2283,0,-1,174,0.000000,"\text{Not used}","int((x^2*(a + b) - 2*a*b*x)/((x*(a - x)*(b - x))^(2/3)*(x*(a + b) - a*b + x^2*(d - 1))),x)","\int \frac{x^2\,\left(a+b\right)-2\,a\,b\,x}{{\left(x\,\left(a-x\right)\,\left(b-x\right)\right)}^{2/3}\,\left(\left(d-1\right)\,x^2+\left(a+b\right)\,x-a\,b\right)} \,d x","Not used",1,"int((x^2*(a + b) - 2*a*b*x)/((x*(a - x)*(b - x))^(2/3)*(x*(a + b) - a*b + x^2*(d - 1))), x)","F"
2284,0,-1,174,0.000000,"\text{Not used}","int(-(x*(a*b - x^2))/((d*x^2 - x*(a*d + b*d + 1) + a*b*d)*(x^2*(a - x)*(b - x))^(2/3)),x)","\int -\frac{x\,\left(a\,b-x^2\right)}{\left(d\,x^2+\left(-a\,d-b\,d-1\right)\,x+a\,b\,d\right)\,{\left(x^2\,\left(a-x\right)\,\left(b-x\right)\right)}^{2/3}} \,d x","Not used",1,"int(-(x*(a*b - x^2))/((d*x^2 - x*(a*d + b*d + 1) + a*b*d)*(x^2*(a - x)*(b - x))^(2/3)), x)","F"
2285,0,-1,174,0.000000,"\text{Not used}","int(((x^3 - 1)^(2/3)*(x^3 - 2))/(x^3*(2*x^3 - 1)),x)","\int \frac{{\left(x^3-1\right)}^{2/3}\,\left(x^3-2\right)}{x^3\,\left(2\,x^3-1\right)} \,d x","Not used",1,"int(((x^3 - 1)^(2/3)*(x^3 - 2))/(x^3*(2*x^3 - 1)), x)","F"
2286,0,-1,174,0.000000,"\text{Not used}","int(-((b - a*x^2)*(a*x^4 - b*x^2)^(1/4))/(b + a*x^2),x)","\int -\frac{\left(b-a\,x^2\right)\,{\left(a\,x^4-b\,x^2\right)}^{1/4}}{a\,x^2+b} \,d x","Not used",1,"int(-((b - a*x^2)*(a*x^4 - b*x^2)^(1/4))/(b + a*x^2), x)","F"
2287,0,-1,174,0.000000,"\text{Not used}","int((x^3 + 1)/((x^3 - 1)*(a + b*x + a*x^4 + b*x^3 + c*x^2)^(1/2)),x)","\int \frac{x^3+1}{\left(x^3-1\right)\,\sqrt{a\,x^4+b\,x^3+c\,x^2+b\,x+a}} \,d x","Not used",1,"int((x^3 + 1)/((x^3 - 1)*(a + b*x + a*x^4 + b*x^3 + c*x^2)^(1/2)), x)","F"
2288,0,-1,174,0.000000,"\text{Not used}","int((b - a*x^6)/((x^3 - x)^(1/3)*(d - c*x^6)),x)","\int \frac{b-a\,x^6}{{\left(x^3-x\right)}^{1/3}\,\left(d-c\,x^6\right)} \,d x","Not used",1,"int((b - a*x^6)/((x^3 - x)^(1/3)*(d - c*x^6)), x)","F"
2289,0,-1,174,0.000000,"\text{Not used}","int((b - a*x^6)/((x^3 - x)^(1/3)*(d - c*x^6)),x)","\int \frac{b-a\,x^6}{{\left(x^3-x\right)}^{1/3}\,\left(d-c\,x^6\right)} \,d x","Not used",1,"int((b - a*x^6)/((x^3 - x)^(1/3)*(d - c*x^6)), x)","F"
2290,0,-1,174,0.000000,"\text{Not used}","int(1/(d + (c + (b + a*x)^(1/2))^(1/2))^(1/2),x)","\int \frac{1}{\sqrt{d+\sqrt{c+\sqrt{b+a\,x}}}} \,d x","Not used",1,"int(1/(d + (c + (b + a*x)^(1/2))^(1/2))^(1/2), x)","F"
2291,0,-1,175,0.000000,"\text{Not used}","int(1/(x*(3*x + x^2 + 3)^(1/3)),x)","\int \frac{1}{x\,{\left(x^2+3\,x+3\right)}^{1/3}} \,d x","Not used",1,"int(1/(x*(3*x + x^2 + 3)^(1/3)), x)","F"
2292,0,-1,175,0.000000,"\text{Not used}","int(-(a*b - x^2)/((d*x^2 - x*(a*d + b*d + 1) + a*b*d)*(x^2*(a - x)*(b - x))^(1/3)),x)","\int -\frac{a\,b-x^2}{\left(d\,x^2+\left(-a\,d-b\,d-1\right)\,x+a\,b\,d\right)\,{\left(x^2\,\left(a-x\right)\,\left(b-x\right)\right)}^{1/3}} \,d x","Not used",1,"int(-(a*b - x^2)/((d*x^2 - x*(a*d + b*d + 1) + a*b*d)*(x^2*(a - x)*(b - x))^(1/3)), x)","F"
2293,0,-1,175,0.000000,"\text{Not used}","int(((2*x - 3)*(x^3 - x + 1)^(2/3))/(x^3*(2*x + x^3 - 2)),x)","\int \frac{\left(2\,x-3\right)\,{\left(x^3-x+1\right)}^{2/3}}{x^3\,\left(x^3+2\,x-2\right)} \,d x","Not used",1,"int(((2*x - 3)*(x^3 - x + 1)^(2/3))/(x^3*(2*x + x^3 - 2)), x)","F"
2294,0,-1,175,0.000000,"\text{Not used}","int(((4*x - 3)*(2*x + x^3 - 1)^(2/3))/(x^3*(x^3 - 4*x + 2)),x)","\int \frac{\left(4\,x-3\right)\,{\left(x^3+2\,x-1\right)}^{2/3}}{x^3\,\left(x^3-4\,x+2\right)} \,d x","Not used",1,"int(((4*x - 3)*(2*x + x^3 - 1)^(2/3))/(x^3*(x^3 - 4*x + 2)), x)","F"
2295,0,-1,175,0.000000,"\text{Not used}","int((27*x + 135*x^2 - 150*x^3 + 65*x^4 - 13*x^5 + x^6 - 81)^(1/2)/(x - 1),x)","\int \frac{\sqrt{x^6-13\,x^5+65\,x^4-150\,x^3+135\,x^2+27\,x-81}}{x-1} \,d x","Not used",1,"int((27*x + 135*x^2 - 150*x^3 + 65*x^4 - 13*x^5 + x^6 - 81)^(1/2)/(x - 1), x)","F"
2296,0,-1,175,0.000000,"\text{Not used}","int(-((q - 2*p*x^3)*(p^2*x^6 + q^2 - 2*p*q*x^2 + 2*p*q*x^3)^(1/2))/(x^2*(a*q + b*x + a*p*x^3)),x)","\int -\frac{\left(q-2\,p\,x^3\right)\,\sqrt{p^2\,x^6+2\,p\,q\,x^3-2\,p\,q\,x^2+q^2}}{x^2\,\left(a\,p\,x^3+b\,x+a\,q\right)} \,d x","Not used",1,"int(-((q - 2*p*x^3)*(p^2*x^6 + q^2 - 2*p*q*x^2 + 2*p*q*x^3)^(1/2))/(x^2*(a*q + b*x + a*p*x^3)), x)","F"
2297,0,-1,175,0.000000,"\text{Not used}","int(1/(x^2*(5*x - 7*x^2 - 2*x^3 + 10*x^4 - 2*x^5 - 5*x^6 + x^7 + x^8 - 1)^(1/3)),x)","\int \frac{1}{x^2\,{\left(x^8+x^7-5\,x^6-2\,x^5+10\,x^4-2\,x^3-7\,x^2+5\,x-1\right)}^{1/3}} \,d x","Not used",1,"int(1/(x^2*(5*x - 7*x^2 - 2*x^3 + 10*x^4 - 2*x^5 - 5*x^6 + x^7 + x^8 - 1)^(1/3)), x)","F"
2298,0,-1,175,0.000000,"\text{Not used}","int(((x^2 + 1)*((x^4 + 1)^(1/2) + x^2)^(1/2))/((x^2 - 1)*(x^4 + 1)^(1/2)),x)","\int \frac{\left(x^2+1\right)\,\sqrt{\sqrt{x^4+1}+x^2}}{\left(x^2-1\right)\,\sqrt{x^4+1}} \,d x","Not used",1,"int(((x^2 + 1)*((x^4 + 1)^(1/2) + x^2)^(1/2))/((x^2 - 1)*(x^4 + 1)^(1/2)), x)","F"
2299,0,-1,176,0.000000,"\text{Not used}","int((x + 2)/((1 - x^2)^(1/4)*(x^2 + 1)*(x - 3)),x)","\int \frac{x+2}{{\left(1-x^2\right)}^{1/4}\,\left(x^2+1\right)\,\left(x-3\right)} \,d x","Not used",1,"int((x + 2)/((1 - x^2)^(1/4)*(x^2 + 1)*(x - 3)), x)","F"
2300,1,204,176,9.524528,"\text{Not used}","int(-((b^2 + a^2*x^3)^(1/2)*(c*x^3 + 2*b^2 + a^2*x^6))/(x*(b^2 - a^2*x^6)),x)","\frac{2\,\sqrt{a^2\,x^3+b^2}}{3}+\frac{2\,b\,\ln\left(\frac{{\left(b+\sqrt{a^2\,x^3+b^2}\right)}^3\,\left(b-\sqrt{a^2\,x^3+b^2}\right)}{x^6}\right)}{3}+\frac{\ln\left(\frac{a\,b+2\,b^2+a^2\,x^3-2\,\sqrt{b}\,\sqrt{a^2\,x^3+b^2}\,\sqrt{a+b}}{b-a\,x^3}\right)\,\sqrt{a+b}\,\left(c+3\,a\,b\right)}{6\,a\,\sqrt{b}}+\frac{\ln\left(\frac{2\,b^2-a\,b+a^2\,x^3+\sqrt{b}\,\sqrt{a^2\,x^3+b^2}\,\sqrt{a-b}\,2{}\mathrm{i}}{a\,x^3+b}\right)\,\sqrt{a-b}\,\left(c-3\,a\,b\right)\,1{}\mathrm{i}}{6\,a\,\sqrt{b}}","Not used",1,"(2*(b^2 + a^2*x^3)^(1/2))/3 + (2*b*log(((b + (b^2 + a^2*x^3)^(1/2))^3*(b - (b^2 + a^2*x^3)^(1/2)))/x^6))/3 + (log((2*b^2 - a*b + a^2*x^3 + b^(1/2)*(b^2 + a^2*x^3)^(1/2)*(a - b)^(1/2)*2i)/(b + a*x^3))*(a - b)^(1/2)*(c - 3*a*b)*1i)/(6*a*b^(1/2)) + (log((a*b + 2*b^2 + a^2*x^3 - 2*b^(1/2)*(b^2 + a^2*x^3)^(1/2)*(a + b)^(1/2))/(b - a*x^3))*(a + b)^(1/2)*(c + 3*a*b))/(6*a*b^(1/2))","B"
2301,0,-1,176,0.000000,"\text{Not used}","int(-(2*x^8 - x^4 + 1)/((x^4 + 1)^(1/4)*(2*x^4 - x^8 + 1)),x)","\int -\frac{2\,x^8-x^4+1}{{\left(x^4+1\right)}^{1/4}\,\left(-x^8+2\,x^4+1\right)} \,d x","Not used",1,"int(-(2*x^8 - x^4 + 1)/((x^4 + 1)^(1/4)*(2*x^4 - x^8 + 1)), x)","F"
2302,0,-1,176,0.000000,"\text{Not used}","int(((x^2 - 1)*((x^4 + 1)^(1/2) + x^2)^(1/2))/((x^2 + 1)*(x^4 + 1)^(1/2)),x)","\int \frac{\left(x^2-1\right)\,\sqrt{\sqrt{x^4+1}+x^2}}{\left(x^2+1\right)\,\sqrt{x^4+1}} \,d x","Not used",1,"int(((x^2 - 1)*((x^4 + 1)^(1/2) + x^2)^(1/2))/((x^2 + 1)*(x^4 + 1)^(1/2)), x)","F"
2303,0,-1,176,0.000000,"\text{Not used}","int(x/(x + (c + (b + a*x)^(1/2))^(1/2)),x)","\int \frac{x}{x+\sqrt{c+\sqrt{b+a\,x}}} \,d x","Not used",1,"int(x/(x + (c + (b + a*x)^(1/2))^(1/2)), x)","F"
2304,0,-1,176,0.000000,"\text{Not used}","int(x/(x + (c + (b + a*x)^(1/2))^(1/2)),x)","\int \frac{x}{x+\sqrt{c+\sqrt{b+a\,x}}} \,d x","Not used",1,"int(x/(x + (c + (b + a*x)^(1/2))^(1/2)), x)","F"
2305,0,-1,177,0.000000,"\text{Not used}","int(1/((x + 1)*(x^2 - x + 1)^(1/3)),x)","\int \frac{1}{\left(x+1\right)\,{\left(x^2-x+1\right)}^{1/3}} \,d x","Not used",1,"int(1/((x + 1)*(x^2 - x + 1)^(1/3)), x)","F"
2306,0,-1,177,0.000000,"\text{Not used}","int(((x^4 + 1)*(x^4 - x^3)^(1/4))/(x^4*(x^4 - 1)),x)","\int \frac{\left(x^4+1\right)\,{\left(x^4-x^3\right)}^{1/4}}{x^4\,\left(x^4-1\right)} \,d x","Not used",1,"int(((x^4 + 1)*(x^4 - x^3)^(1/4))/(x^4*(x^4 - 1)), x)","F"
2307,0,-1,177,0.000000,"\text{Not used}","int(((x^4 + 1)*(x^4 - x^3)^(1/4))/(x^4*(x^4 - 1)),x)","\int \frac{\left(x^4+1\right)\,{\left(x^4-x^3\right)}^{1/4}}{x^4\,\left(x^4-1\right)} \,d x","Not used",1,"int(((x^4 + 1)*(x^4 - x^3)^(1/4))/(x^4*(x^4 - 1)), x)","F"
2308,1,65,177,1.853214,"\text{Not used}","int(((b*x + a*x^3)^(1/3)*(b + a*x^4))/x^4,x)","\frac{3\,a\,x\,{\left(a\,x^3+b\,x\right)}^{1/3}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{3},\frac{2}{3};\ \frac{5}{3};\ -\frac{a\,x^2}{b}\right)}{4\,{\left(\frac{a\,x^2}{b}+1\right)}^{1/3}}-\frac{3\,{\left(a\,x^3+b\,x\right)}^{1/3}\,\left(a\,x^2+b\right)}{8\,x^3}","Not used",1,"(3*a*x*(b*x + a*x^3)^(1/3)*hypergeom([-1/3, 2/3], 5/3, -(a*x^2)/b))/(4*((a*x^2)/b + 1)^(1/3)) - (3*(b*x + a*x^3)^(1/3)*(b + a*x^2))/(8*x^3)","B"
2309,-1,-1,177,0.000000,"\text{Not used}","int(-(b^4 + a^4*x^4)/((b^4 - a^4*x^4)*(a^2*x^3 - b^2*x)^(1/2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
2310,0,-1,177,0.000000,"\text{Not used}","int((x + 1)/((x^3 - 1)*(96*x^4 - 256*x^2 - 16*x^6 + x^8 + 256)^(1/8)),x)","\int \frac{x+1}{\left(x^3-1\right)\,{\left(x^8-16\,x^6+96\,x^4-256\,x^2+256\right)}^{1/8}} \,d x","Not used",1,"int((x + 1)/((x^3 - 1)*(96*x^4 - 256*x^2 - 16*x^6 + x^8 + 256)^(1/8)), x)","F"
2311,0,-1,177,0.000000,"\text{Not used}","int(1/(x^2*(5*x^2 - x + 2*x^3 - 10*x^4 + 2*x^5 + 7*x^6 - 5*x^7 + x^8 - 1)^(1/3)),x)","\int \frac{1}{x^2\,{\left(x^8-5\,x^7+7\,x^6+2\,x^5-10\,x^4+2\,x^3+5\,x^2-x-1\right)}^{1/3}} \,d x","Not used",1,"int(1/(x^2*(5*x^2 - x + 2*x^3 - 10*x^4 + 2*x^5 + 7*x^6 - 5*x^7 + x^8 - 1)^(1/3)), x)","F"
2312,0,-1,177,0.000000,"\text{Not used}","int(-(c*x^6*(4*b - a*x^5))/((b + a*x^5)^(3/4)*(b^2 + a^2*x^10 - c^2*x^8 + 2*a*b*x^5)),x)","-\int \frac{c\,x^6\,\left(4\,b-a\,x^5\right)}{{\left(a\,x^5+b\right)}^{3/4}\,\left(a^2\,x^{10}+2\,a\,b\,x^5+b^2-c^2\,x^8\right)} \,d x","Not used",1,"-int((c*x^6*(4*b - a*x^5))/((b + a*x^5)^(3/4)*(b^2 + a^2*x^10 - c^2*x^8 + 2*a*b*x^5)), x)","F"
2313,0,-1,177,0.000000,"\text{Not used}","int((x^2*(a*x + (a*x - b)^(1/2))^(1/2))/(a*x - b)^(1/2),x)","\int \frac{x^2\,\sqrt{a\,x+\sqrt{a\,x-b}}}{\sqrt{a\,x-b}} \,d x","Not used",1,"int((x^2*(a*x + (a*x - b)^(1/2))^(1/2))/(a*x - b)^(1/2), x)","F"
2314,-1,-1,178,0.000000,"\text{Not used}","int((a + b*x^2 + a*k^4*x^4)/((k^4*x^4 - 1)*(x*(k^2*x - 1)*(x - 1))^(1/2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
2315,0,-1,178,0.000000,"\text{Not used}","int(-((2*q - p*x^3)*(p^2*x^6 + q^2 + 2*p*q*x^3 - 2*p*q*x^4)^(1/2)*(a*q^2 + b*x^4 + a*p^2*x^6 + 2*a*p*q*x^3))/x^9,x)","\int -\frac{\left(2\,q-p\,x^3\right)\,\sqrt{p^2\,x^6-2\,p\,q\,x^4+2\,p\,q\,x^3+q^2}\,\left(a\,p^2\,x^6+2\,a\,p\,q\,x^3+a\,q^2+b\,x^4\right)}{x^9} \,d x","Not used",1,"int(-((2*q - p*x^3)*(p^2*x^6 + q^2 + 2*p*q*x^3 - 2*p*q*x^4)^(1/2)*(a*q^2 + b*x^4 + a*p^2*x^6 + 2*a*p*q*x^3))/x^9, x)","F"
2316,0,-1,179,0.000000,"\text{Not used}","int((x^3 - 1)/((x^3 + 1)*(a + b*x + a*x^4 + b*x^3 + c*x^2)^(1/2)),x)","\int \frac{x^3-1}{\left(x^3+1\right)\,\sqrt{a\,x^4+b\,x^3+c\,x^2+b\,x+a}} \,d x","Not used",1,"int((x^3 - 1)/((x^3 + 1)*(a + b*x + a*x^4 + b*x^3 + c*x^2)^(1/2)), x)","F"
2317,0,-1,179,0.000000,"\text{Not used}","int((5*x - 4*x^2*(k + 1) + 3*k*x^3)/((x*(k*x - 1)*(x - 1))^(1/3)*(b*x^5 + x*(k + 1) - k*x^2 - 1)),x)","\int \frac{5\,x-4\,x^2\,\left(k+1\right)+3\,k\,x^3}{{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{1/3}\,\left(b\,x^5-k\,x^2+\left(k+1\right)\,x-1\right)} \,d x","Not used",1,"int((5*x - 4*x^2*(k + 1) + 3*k*x^3)/((x*(k*x - 1)*(x - 1))^(1/3)*(b*x^5 + x*(k + 1) - k*x^2 - 1)), x)","F"
2318,0,-1,179,0.000000,"\text{Not used}","int((x^2*(6*k*x^2 - 7*x*(k + 1) + 8))/((x*(k*x - 1)*(x - 1))^(1/3)*(b*x^8 + x*(k + 1) - k*x^2 - 1)),x)","\int \frac{x^2\,\left(6\,k\,x^2-7\,x\,\left(k+1\right)+8\right)}{{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{1/3}\,\left(b\,x^8-k\,x^2+\left(k+1\right)\,x-1\right)} \,d x","Not used",1,"int((x^2*(6*k*x^2 - 7*x*(k + 1) + 8))/((x*(k*x - 1)*(x - 1))^(1/3)*(b*x^8 + x*(k + 1) - k*x^2 - 1)), x)","F"
2319,0,-1,180,0.000000,"\text{Not used}","int(-(x*(a*b - x^2))/((x^2*(a - x)*(b - x))^(2/3)*(a*b - x*(a + b + d) + x^2)),x)","\int -\frac{x\,\left(a\,b-x^2\right)}{{\left(x^2\,\left(a-x\right)\,\left(b-x\right)\right)}^{2/3}\,\left(x^2+\left(-a-b-d\right)\,x+a\,b\right)} \,d x","Not used",1,"int(-(x*(a*b - x^2))/((x^2*(a - x)*(b - x))^(2/3)*(a*b - x*(a + b + d) + x^2)), x)","F"
2320,0,-1,180,0.000000,"\text{Not used}","int(((b + x^3)*(c + x^3))/(a + x^3)^(1/3),x)","\int \frac{\left(x^3+b\right)\,\left(x^3+c\right)}{{\left(x^3+a\right)}^{1/3}} \,d x","Not used",1,"int(((b + x^3)*(c + x^3))/(a + x^3)^(1/3), x)","F"
2321,0,-1,180,0.000000,"\text{Not used}","int(1/((x^3 + 1)*(x^3 - x^2)^(1/3)),x)","\int \frac{1}{\left(x^3+1\right)\,{\left(x^3-x^2\right)}^{1/3}} \,d x","Not used",1,"int(1/((x^3 + 1)*(x^3 - x^2)^(1/3)), x)","F"
2322,0,-1,180,0.000000,"\text{Not used}","int(1/((x^3 + 1)*(x^3 - x^2)^(1/3)),x)","\int \frac{1}{\left(x^3+1\right)\,{\left(x^3-x^2\right)}^{1/3}} \,d x","Not used",1,"int(1/((x^3 + 1)*(x^3 - x^2)^(1/3)), x)","F"
2323,0,-1,180,0.000000,"\text{Not used}","int(-((2*q - p*x^3)*(p^2*x^6 + q^2 + 2*p*q*x^3 - 2*p*q*x^4)^(1/2))/(x^3*(a*q + b*x^2 + a*p*x^3)),x)","\int -\frac{\left(2\,q-p\,x^3\right)\,\sqrt{p^2\,x^6-2\,p\,q\,x^4+2\,p\,q\,x^3+q^2}}{x^3\,\left(a\,p\,x^3+b\,x^2+a\,q\right)} \,d x","Not used",1,"int(-((2*q - p*x^3)*(p^2*x^6 + q^2 + 2*p*q*x^3 - 2*p*q*x^4)^(1/2))/(x^3*(a*q + b*x^2 + a*p*x^3)), x)","F"
2324,0,-1,180,0.000000,"\text{Not used}","int(((x^2 + x^6)^(1/4)*(x^8 + 1))/(x^4*(x^4 - 1)),x)","\int \frac{{\left(x^6+x^2\right)}^{1/4}\,\left(x^8+1\right)}{x^4\,\left(x^4-1\right)} \,d x","Not used",1,"int(((x^2 + x^6)^(1/4)*(x^8 + 1))/(x^4*(x^4 - 1)), x)","F"
2325,0,-1,180,0.000000,"\text{Not used}","int(((x^2 + x^6)^(1/4)*(x^8 + 1))/(x^4*(x^4 - 1)),x)","\int \frac{{\left(x^6+x^2\right)}^{1/4}\,\left(x^8+1\right)}{x^4\,\left(x^4-1\right)} \,d x","Not used",1,"int(((x^2 + x^6)^(1/4)*(x^8 + 1))/(x^4*(x^4 - 1)), x)","F"
2326,0,-1,181,0.000000,"\text{Not used}","int(1/(x*(x^2 - 3*x + 2)^(1/3)),x)","\int \frac{1}{x\,{\left(x^2-3\,x+2\right)}^{1/3}} \,d x","Not used",1,"int(1/(x*(x^2 - 3*x + 2)^(1/3)), x)","F"
2327,0,-1,181,0.000000,"\text{Not used}","int((a*b - x^2)/((x^2*(a - x)*(b - x))^(1/3)*(a*b - x*(a + b + d) + x^2)),x)","\int \frac{a\,b-x^2}{{\left(x^2\,\left(a-x\right)\,\left(b-x\right)\right)}^{1/3}\,\left(x^2+\left(-a-b-d\right)\,x+a\,b\right)} \,d x","Not used",1,"int((a*b - x^2)/((x^2*(a - x)*(b - x))^(1/3)*(a*b - x*(a + b + d) + x^2)), x)","F"
2328,0,-1,181,0.000000,"\text{Not used}","int(-((q - 2*p*x^3)*(a*(q + p*x^3)^2 + b*x^2)*(p^2*x^6 + q^2 - 2*p*q*x^2 + 2*p*q*x^3)^(1/2))/x^5,x)","-\int \frac{\left(q-2\,p\,x^3\right)\,\left(a\,{\left(p\,x^3+q\right)}^2+b\,x^2\right)\,\sqrt{p^2\,x^6+2\,p\,q\,x^3-2\,p\,q\,x^2+q^2}}{x^5} \,d x","Not used",1,"-int(((q - 2*p*x^3)*(a*(q + p*x^3)^2 + b*x^2)*(p^2*x^6 + q^2 - 2*p*q*x^2 + 2*p*q*x^3)^(1/2))/x^5, x)","F"
2329,0,-1,181,0.000000,"\text{Not used}","int((x + 1)/((((x + 1)^(1/2) + 1)^(1/2) + 1)^(1/2)*(x - 1)),x)","\int \frac{x+1}{\sqrt{\sqrt{\sqrt{x+1}+1}+1}\,\left(x-1\right)} \,d x","Not used",1,"int((x + 1)/((((x + 1)^(1/2) + 1)^(1/2) + 1)^(1/2)*(x - 1)), x)","F"
2330,0,-1,181,0.000000,"\text{Not used}","int((x + 1)/((((x + 1)^(1/2) + 1)^(1/2) + 1)^(1/2)*(x - 1)),x)","\int \frac{x+1}{\sqrt{\sqrt{\sqrt{x+1}+1}+1}\,\left(x-1\right)} \,d x","Not used",1,"int((x + 1)/((((x + 1)^(1/2) + 1)^(1/2) + 1)^(1/2)*(x - 1)), x)","F"
2331,0,-1,183,0.000000,"\text{Not used}","int(1/(d + c*x + (a*x + (b^2 + a^2*x^2)^(1/2))^(1/2)),x)","\int \frac{1}{d+c\,x+\sqrt{a\,x+\sqrt{a^2\,x^2+b^2}}} \,d x","Not used",1,"int(1/(d + c*x + (a*x + (b^2 + a^2*x^2)^(1/2))^(1/2)), x)","F"
2332,0,-1,183,0.000000,"\text{Not used}","int(1/(d + c*x + (a*x + (b^2 + a^2*x^2)^(1/2))^(1/2)),x)","\int \frac{1}{d+c\,x+\sqrt{a\,x+\sqrt{a^2\,x^2+b^2}}} \,d x","Not used",1,"int(1/(d + c*x + (a*x + (b^2 + a^2*x^2)^(1/2))^(1/2)), x)","F"
2333,1,250,184,2.284623,"\text{Not used}","int(-(d - c*x)/(x^7*(a*x^3 - b)^(1/3)),x)","\frac{2\,a^2\,d\,\ln\left({\left(a\,x^3-b\right)}^{1/3}+b^{1/3}\right)}{27\,b^{7/3}}-\frac{\frac{7\,a^2\,d\,{\left(a\,x^3-b\right)}^{2/3}}{18\,b}+\frac{2\,a^2\,d\,{\left(a\,x^3-b\right)}^{5/3}}{9\,b^2}}{{\left(b-a\,x^3\right)}^2-2\,b\,\left(b-a\,x^3\right)+b^2}+\frac{2\,a^2\,d\,\ln\left(\frac{4\,a^4\,d^2\,{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2}{81\,b^{11/3}}+\frac{4\,a^4\,d^2\,{\left(a\,x^3-b\right)}^{1/3}}{81\,b^4}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{27\,b^{7/3}}-\frac{2\,a^2\,d\,\ln\left(\frac{4\,a^4\,d^2\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2}{81\,b^{11/3}}+\frac{4\,a^4\,d^2\,{\left(a\,x^3-b\right)}^{1/3}}{81\,b^4}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{27\,b^{7/3}}+\frac{c\,{\left(a\,x^3-b\right)}^{2/3}\,\left(3\,a\,x^3+2\,b\right)}{10\,b^2\,x^5}","Not used",1,"(2*a^2*d*log((a*x^3 - b)^(1/3) + b^(1/3)))/(27*b^(7/3)) - ((7*a^2*d*(a*x^3 - b)^(2/3))/(18*b) + (2*a^2*d*(a*x^3 - b)^(5/3))/(9*b^2))/((b - a*x^3)^2 - 2*b*(b - a*x^3) + b^2) + (2*a^2*d*log((4*a^4*d^2*((3^(1/2)*1i)/2 - 1/2)^2)/(81*b^(11/3)) + (4*a^4*d^2*(a*x^3 - b)^(1/3))/(81*b^4))*((3^(1/2)*1i)/2 - 1/2))/(27*b^(7/3)) - (2*a^2*d*log((4*a^4*d^2*((3^(1/2)*1i)/2 + 1/2)^2)/(81*b^(11/3)) + (4*a^4*d^2*(a*x^3 - b)^(1/3))/(81*b^4))*((3^(1/2)*1i)/2 + 1/2))/(27*b^(7/3)) + (c*(a*x^3 - b)^(2/3)*(2*b + 3*a*x^3))/(10*b^2*x^5)","B"
2334,0,-1,184,0.000000,"\text{Not used}","int(-(x^2 + x^4 + 1)/((x^3 + x^5)^(1/4)*(x^4 - 1)),x)","\int -\frac{x^4+x^2+1}{{\left(x^5+x^3\right)}^{1/4}\,\left(x^4-1\right)} \,d x","Not used",1,"int(-(x^2 + x^4 + 1)/((x^3 + x^5)^(1/4)*(x^4 - 1)), x)","F"
2335,0,-1,184,0.000000,"\text{Not used}","int(((2*x^4 - 1)^(1/2)*(2*x^8 - 1))/(x^7*(2*x^4 + x^8 - 1)),x)","\int \frac{\sqrt{2\,x^4-1}\,\left(2\,x^8-1\right)}{x^7\,\left(x^8+2\,x^4-1\right)} \,d x","Not used",1,"int(((2*x^4 - 1)^(1/2)*(2*x^8 - 1))/(x^7*(2*x^4 + x^8 - 1)), x)","F"
2336,0,-1,184,0.000000,"\text{Not used}","int((((x + 1)^(1/2) + 1)^(1/2)*(x + 1)^(1/2))/(x*(((x + 1)^(1/2) + 1)^(1/2) + 1)^(1/2)),x)","\int \frac{\sqrt{\sqrt{x+1}+1}\,\sqrt{x+1}}{x\,\sqrt{\sqrt{\sqrt{x+1}+1}+1}} \,d x","Not used",1,"int((((x + 1)^(1/2) + 1)^(1/2)*(x + 1)^(1/2))/(x*(((x + 1)^(1/2) + 1)^(1/2) + 1)^(1/2)), x)","F"
2337,0,-1,185,0.000000,"\text{Not used}","int((x + 1)/((2*x + 1)*(x^2 + 1)^(1/3)*(x + 3)),x)","\int \frac{x+1}{\left(2\,x+1\right)\,{\left(x^2+1\right)}^{1/3}\,\left(x+3\right)} \,d x","Not used",1,"int((x + 1)/((2*x + 1)*(x^2 + 1)^(1/3)*(x + 3)), x)","F"
2338,0,-1,185,0.000000,"\text{Not used}","int((x^3 - x^2)^(1/3)/(x + x^2 + 1),x)","\int \frac{{\left(x^3-x^2\right)}^{1/3}}{x^2+x+1} \,d x","Not used",1,"int((x^3 - x^2)^(1/3)/(x + x^2 + 1), x)","F"
2339,0,-1,185,0.000000,"\text{Not used}","int((x^3 - x^2)^(1/3)/(x + x^2 + 1),x)","\int \frac{{\left(x^3-x^2\right)}^{1/3}}{x^2+x+1} \,d x","Not used",1,"int((x^3 - x^2)^(1/3)/(x + x^2 + 1), x)","F"
2340,0,-1,185,0.000000,"\text{Not used}","int(-(x*(3*k*x^2 - 4*x*(k + 1) + 5))/((x*(k*x - 1)*(x - 1))^(1/3)*(b - x*(b + b*k) - x^5 + b*k*x^2)),x)","\int -\frac{x\,\left(3\,k\,x^2-4\,x\,\left(k+1\right)+5\right)}{{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{1/3}\,\left(-x^5+b\,k\,x^2+\left(-b-b\,k\right)\,x+b\right)} \,d x","Not used",1,"int(-(x*(3*k*x^2 - 4*x*(k + 1) + 5))/((x*(k*x - 1)*(x - 1))^(1/3)*(b - x*(b + b*k) - x^5 + b*k*x^2)), x)","F"
2341,0,-1,185,0.000000,"\text{Not used}","int(-(x^4 + 1)/((x^3 + x^5)^(1/4)*(x^4 - 1)),x)","\int -\frac{x^4+1}{{\left(x^5+x^3\right)}^{1/4}\,\left(x^4-1\right)} \,d x","Not used",1,"int(-(x^4 + 1)/((x^3 + x^5)^(1/4)*(x^4 - 1)), x)","F"
2342,0,-1,185,0.000000,"\text{Not used}","int(((x^3 + 1)^(2/3)*(x^3 + x^6 + 2))/(x^6*(x^3 - 2)^2),x)","\int \frac{{\left(x^3+1\right)}^{2/3}\,\left(x^6+x^3+2\right)}{x^6\,{\left(x^3-2\right)}^2} \,d x","Not used",1,"int(((x^3 + 1)^(2/3)*(x^3 + x^6 + 2))/(x^6*(x^3 - 2)^2), x)","F"
2343,0,-1,185,0.000000,"\text{Not used}","int((x^8 + 1)/((x^2 + x^6)^(1/4)*(x^8 - 1)),x)","\int \frac{x^8+1}{{\left(x^6+x^2\right)}^{1/4}\,\left(x^8-1\right)} \,d x","Not used",1,"int((x^8 + 1)/((x^2 + x^6)^(1/4)*(x^8 - 1)), x)","F"
2344,0,-1,185,0.000000,"\text{Not used}","int((x^8 + 1)/((x^2 + x^6)^(1/4)*(x^8 - 1)),x)","\int \frac{x^8+1}{{\left(x^6+x^2\right)}^{1/4}\,\left(x^8-1\right)} \,d x","Not used",1,"int((x^8 + 1)/((x^2 + x^6)^(1/4)*(x^8 - 1)), x)","F"
2345,0,-1,185,0.000000,"\text{Not used}","int(-(x^2*(6*k*x^2 - 7*x*(k + 1) + 8))/((x*(k*x - 1)*(x - 1))^(1/3)*(b - x^8 - b*x*(k + 1) + b*k*x^2)),x)","-\int \frac{x^2\,\left(6\,k\,x^2-7\,x\,\left(k+1\right)+8\right)}{{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{1/3}\,\left(-x^8+b\,k\,x^2-b\,\left(k+1\right)\,x+b\right)} \,d x","Not used",1,"-int((x^2*(6*k*x^2 - 7*x*(k + 1) + 8))/((x*(k*x - 1)*(x - 1))^(1/3)*(b - x^8 - b*x*(k + 1) + b*k*x^2)), x)","F"
2346,0,-1,185,0.000000,"\text{Not used}","int(1/((x^2 + 1)^2*(x + (x^2 + 1)^(1/2))^(1/2)),x)","\int \frac{1}{{\left(x^2+1\right)}^2\,\sqrt{x+\sqrt{x^2+1}}} \,d x","Not used",1,"int(1/((x^2 + 1)^2*(x + (x^2 + 1)^(1/2))^(1/2)), x)","F"
2347,0,-1,186,0.000000,"\text{Not used}","int(-(x*(a - x)*(a*b + x*(a - 2*b)))/((-x*(a - x)*(b - x)^2)^(3/4)*(b^2*d + x*(a - 2*b*d) + x^2*(d - 1))),x)","\int -\frac{x\,\left(a-x\right)\,\left(a\,b+x\,\left(a-2\,b\right)\right)}{{\left(-x\,\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{3/4}\,\left(b^2\,d+x\,\left(a-2\,b\,d\right)+x^2\,\left(d-1\right)\right)} \,d x","Not used",1,"int(-(x*(a - x)*(a*b + x*(a - 2*b)))/((-x*(a - x)*(b - x)^2)^(3/4)*(b^2*d + x*(a - 2*b*d) + x^2*(d - 1))), x)","F"
2348,0,-1,186,0.000000,"\text{Not used}","int(((x^2 + 1)*(x^4 - 3*x^2 + 1))/(x^2*((x + 2*x^2 - 2)/(x + x^2 - 1))^(1/2)*(x^3 - 3*x^2 - x + x^4 + 1)),x)","\int \frac{\left(x^2+1\right)\,\left(x^4-3\,x^2+1\right)}{x^2\,\sqrt{\frac{2\,x^2+x-2}{x^2+x-1}}\,\left(x^4+x^3-3\,x^2-x+1\right)} \,d x","Not used",1,"int(((x^2 + 1)*(x^4 - 3*x^2 + 1))/(x^2*((x + 2*x^2 - 2)/(x + x^2 - 1))^(1/2)*(x^3 - 3*x^2 - x + x^4 + 1)), x)","F"
2349,0,-1,186,0.000000,"\text{Not used}","int((x^3*(3*k*x^2 - 4*x*(k + 1) + 5))/((x*(k*x - 1)*(x - 1))^(2/3)*(b*x^5 + x*(k + 1) - k*x^2 - 1)),x)","\int \frac{x^3\,\left(3\,k\,x^2-4\,x\,\left(k+1\right)+5\right)}{{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{2/3}\,\left(b\,x^5-k\,x^2+\left(k+1\right)\,x-1\right)} \,d x","Not used",1,"int((x^3*(3*k*x^2 - 4*x*(k + 1) + 5))/((x*(k*x - 1)*(x - 1))^(2/3)*(b*x^5 + x*(k + 1) - k*x^2 - 1)), x)","F"
2350,0,-1,186,0.000000,"\text{Not used}","int(((x^4 - 2)*(x^4 + 2)^(1/2))/(3*x^4 + x^8 + 4),x)","\int \frac{\left(x^4-2\right)\,\sqrt{x^4+2}}{x^8+3\,x^4+4} \,d x","Not used",1,"int(((x^4 - 2)*(x^4 + 2)^(1/2))/(3*x^4 + x^8 + 4), x)","F"
2351,0,-1,186,0.000000,"\text{Not used}","int((5*x^2 - x + 2*x^3 - 10*x^4 + 2*x^5 + 7*x^6 - 5*x^7 + x^8 - 1)^(1/3)/x^2,x)","\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)}^{1/3}}{x^2} \,d x","Not used",1,"int((5*x^2 - x + 2*x^3 - 10*x^4 + 2*x^5 + 7*x^6 - 5*x^7 + x^8 - 1)^(1/3)/x^2, x)","F"
2352,0,-1,186,0.000000,"\text{Not used}","int(-(((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)*(b - a^2*x^2))/(b + a^2*x^4)^(1/2),x)","\int -\frac{\sqrt{\sqrt{a^2\,x^4+b}+a\,x^2}\,\left(b-a^2\,x^2\right)}{\sqrt{a^2\,x^4+b}} \,d x","Not used",1,"int(-(((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)*(b - a^2*x^2))/(b + a^2*x^4)^(1/2), x)","F"
2353,0,-1,186,0.000000,"\text{Not used}","int((x + 1)^(1/2)/(x + (x + (x + 1)^(1/2))^(1/2)),x)","\int \frac{\sqrt{x+1}}{x+\sqrt{x+\sqrt{x+1}}} \,d x","Not used",1,"int((x + 1)^(1/2)/(x + (x + (x + 1)^(1/2))^(1/2)), x)","F"
2354,0,-1,186,0.000000,"\text{Not used}","int((x + 1)^(1/2)/(x + (x + (x + 1)^(1/2))^(1/2)),x)","\int \frac{\sqrt{x+1}}{x+\sqrt{x+\sqrt{x+1}}} \,d x","Not used",1,"int((x + 1)^(1/2)/(x + (x + (x + 1)^(1/2))^(1/2)), x)","F"
2355,0,-1,187,0.000000,"\text{Not used}","int((k^(1/2)*x - 1i)/((k^(1/2)*x + 1i)*((x^2 - 1)*(k^2*x^2 - 1))^(1/2)),x)","\int \frac{\sqrt{k}\,x-\mathrm{i}}{\left(\sqrt{k}\,x+1{}\mathrm{i}\right)\,\sqrt{\left(x^2-1\right)\,\left(k^2\,x^2-1\right)}} \,d x","Not used",1,"int((k^(1/2)*x - 1i)/((k^(1/2)*x + 1i)*((x^2 - 1)*(k^2*x^2 - 1))^(1/2)), x)","F"
2356,0,-1,187,0.000000,"\text{Not used}","int((k^(1/2)*x + 1i)/((k^(1/2)*x - 1i)*((x^2 - 1)*(k^2*x^2 - 1))^(1/2)),x)","\int \frac{\sqrt{k}\,x+1{}\mathrm{i}}{\left(\sqrt{k}\,x-\mathrm{i}\right)\,\sqrt{\left(x^2-1\right)\,\left(k^2\,x^2-1\right)}} \,d x","Not used",1,"int((k^(1/2)*x + 1i)/((k^(1/2)*x - 1i)*((x^2 - 1)*(k^2*x^2 - 1))^(1/2)), x)","F"
2357,0,-1,187,0.000000,"\text{Not used}","int(1/((3*x - 3*x^2 + x^3 - 1)^(1/4)*(2*x - x^2 - 3*x^3 + 1)^4),x)","\int \frac{1}{{\left(x^3-3\,x^2+3\,x-1\right)}^{1/4}\,{\left(-3\,x^3-x^2+2\,x+1\right)}^4} \,d x","Not used",1,"int(1/((3*x - 3*x^2 + x^3 - 1)^(1/4)*(2*x - x^2 - 3*x^3 + 1)^4), x)","F"
2358,0,-1,187,0.000000,"\text{Not used}","int(-(a*x^4 + b*x^3)^(1/4)/(x^2*(d - c*x^2)),x)","-\int \frac{{\left(a\,x^4+b\,x^3\right)}^{1/4}}{x^2\,\left(d-c\,x^2\right)} \,d x","Not used",1,"-int((a*x^4 + b*x^3)^(1/4)/(x^2*(d - c*x^2)), x)","F"
2359,0,-1,187,0.000000,"\text{Not used}","int(-(a*x^4 + b*x^3)^(1/4)/(x^2*(d - c*x^2)),x)","-\int \frac{{\left(a\,x^4+b\,x^3\right)}^{1/4}}{x^2\,\left(d-c\,x^2\right)} \,d x","Not used",1,"-int((a*x^4 + b*x^3)^(1/4)/(x^2*(d - c*x^2)), x)","F"
2360,0,-1,187,0.000000,"\text{Not used}","int(x^4/((x^2 + x^6)^(1/4)*(x^8 - 1)),x)","\int \frac{x^4}{{\left(x^6+x^2\right)}^{1/4}\,\left(x^8-1\right)} \,d x","Not used",1,"int(x^4/((x^2 + x^6)^(1/4)*(x^8 - 1)), x)","F"
2361,0,-1,187,0.000000,"\text{Not used}","int(x^4/((x^2 + x^6)^(1/4)*(x^8 - 1)),x)","\int \frac{x^4}{{\left(x^6+x^2\right)}^{1/4}\,\left(x^8-1\right)} \,d x","Not used",1,"int(x^4/((x^2 + x^6)^(1/4)*(x^8 - 1)), x)","F"
2362,0,-1,187,0.000000,"\text{Not used}","int(((x^2 + x^6)^(1/4)*(x^4 - 1))/(x^8 - x^4 + 1),x)","\int \frac{{\left(x^6+x^2\right)}^{1/4}\,\left(x^4-1\right)}{x^8-x^4+1} \,d x","Not used",1,"int(((x^2 + x^6)^(1/4)*(x^4 - 1))/(x^8 - x^4 + 1), x)","F"
2363,0,-1,187,0.000000,"\text{Not used}","int(((x^2 + x^6)^(1/4)*(x^4 - 1))/(x^8 - x^4 + 1),x)","\int \frac{{\left(x^6+x^2\right)}^{1/4}\,\left(x^4-1\right)}{x^8-x^4+1} \,d x","Not used",1,"int(((x^2 + x^6)^(1/4)*(x^4 - 1))/(x^8 - x^4 + 1), x)","F"
2364,0,-1,187,0.000000,"\text{Not used}","int((x^8 - x^4 + 1)/((x^2 + x^6)^(1/4)*(x^8 - 1)),x)","\int \frac{x^8-x^4+1}{{\left(x^6+x^2\right)}^{1/4}\,\left(x^8-1\right)} \,d x","Not used",1,"int((x^8 - x^4 + 1)/((x^2 + x^6)^(1/4)*(x^8 - 1)), x)","F"
2365,0,-1,187,0.000000,"\text{Not used}","int((x^8 - x^4 + 1)/((x^2 + x^6)^(1/4)*(x^8 - 1)),x)","\int \frac{x^8-x^4+1}{{\left(x^6+x^2\right)}^{1/4}\,\left(x^8-1\right)} \,d x","Not used",1,"int((x^8 - x^4 + 1)/((x^2 + x^6)^(1/4)*(x^8 - 1)), x)","F"
2366,0,-1,188,0.000000,"\text{Not used}","int(-1/((x^4 - x^3)^(1/4)*(b - a*x)),x)","-\int \frac{1}{{\left(x^4-x^3\right)}^{1/4}\,\left(b-a\,x\right)} \,d x","Not used",1,"-int(1/((x^4 - x^3)^(1/4)*(b - a*x)), x)","F"
2367,0,-1,189,0.000000,"\text{Not used}","int(-(x - x^2)/((k^2*x^2 - 2*x + 1)*(x*(k^2*x - 1)*(x - 1))^(1/2)),x)","\int -\frac{x-x^2}{\left(k^2\,x^2-2\,x+1\right)\,\sqrt{x\,\left(k^2\,x-1\right)\,\left(x-1\right)}} \,d x","Not used",1,"int(-(x - x^2)/((k^2*x^2 - 2*x + 1)*(x*(k^2*x - 1)*(x - 1))^(1/2)), x)","F"
2368,0,-1,189,0.000000,"\text{Not used}","int(-(b - a^3*x^2)/((b + a^3*x^2)*(a^3*x^3 - b*x^2)^(1/3)),x)","\int -\frac{b-a^3\,x^2}{\left(a^3\,x^2+b\right)\,{\left(a^3\,x^3-b\,x^2\right)}^{1/3}} \,d x","Not used",1,"int(-(b - a^3*x^2)/((b + a^3*x^2)*(a^3*x^3 - b*x^2)^(1/3)), x)","F"
2369,0,-1,189,0.000000,"\text{Not used}","int(-(b - a^3*x^2)/((b + a^3*x^2)*(a^3*x^3 - b*x^2)^(1/3)),x)","\int -\frac{b-a^3\,x^2}{\left(a^3\,x^2+b\right)\,{\left(a^3\,x^3-b\,x^2\right)}^{1/3}} \,d x","Not used",1,"int(-(b - a^3*x^2)/((b + a^3*x^2)*(a^3*x^3 - b*x^2)^(1/3)), x)","F"
2370,0,-1,189,0.000000,"\text{Not used}","int((x^2 + 1)/((x^2 - 1)*(a + b*x + a*x^4 + b*x^3 + c*x^2)^(1/2)),x)","\int \frac{x^2+1}{\left(x^2-1\right)\,\sqrt{a\,x^4+b\,x^3+c\,x^2+b\,x+a}} \,d x","Not used",1,"int((x^2 + 1)/((x^2 - 1)*(a + b*x + a*x^4 + b*x^3 + c*x^2)^(1/2)), x)","F"
2371,0,-1,189,0.000000,"\text{Not used}","int((x^4*(x^4 - x^2)^(1/4))/(x^4 + x^8 + 1),x)","\int \frac{x^4\,{\left(x^4-x^2\right)}^{1/4}}{x^8+x^4+1} \,d x","Not used",1,"int((x^4*(x^4 - x^2)^(1/4))/(x^4 + x^8 + 1), x)","F"
2372,0,-1,189,0.000000,"\text{Not used}","int((x^4*(x^4 - x^2)^(1/4))/(x^4 + x^8 + 1),x)","\int \frac{x^4\,{\left(x^4-x^2\right)}^{1/4}}{x^8+x^4+1} \,d x","Not used",1,"int((x^4*(x^4 - x^2)^(1/4))/(x^4 + x^8 + 1), x)","F"
2373,0,-1,189,0.000000,"\text{Not used}","int(-((q + p*x^3)^(1/2)*(2*q - p*x^3))/(a*(q + p*x^3)^2 + c*x^4 + b*x^2*(q + p*x^3)),x)","\int -\frac{\sqrt{p\,x^3+q}\,\left(2\,q-p\,x^3\right)}{a\,{\left(p\,x^3+q\right)}^2+c\,x^4+b\,x^2\,\left(p\,x^3+q\right)} \,d x","Not used",1,"int(-((q + p*x^3)^(1/2)*(2*q - p*x^3))/(a*(q + p*x^3)^2 + c*x^4 + b*x^2*(q + p*x^3)), x)","F"
2374,0,-1,189,0.000000,"\text{Not used}","int((x^4 - 1)^2/((x^4 + 1)^2*((x^4 + 1)^(1/2) + x^2)^(1/2)),x)","\int \frac{{\left(x^4-1\right)}^2}{{\left(x^4+1\right)}^2\,\sqrt{\sqrt{x^4+1}+x^2}} \,d x","Not used",1,"int((x^4 - 1)^2/((x^4 + 1)^2*((x^4 + 1)^(1/2) + x^2)^(1/2)), x)","F"
2375,0,-1,189,0.000000,"\text{Not used}","int(((x^4 + 1)^(1/2) + x^2)^(1/2)/((x^2 + 1)^2*(x^4 + 1)^(1/2)),x)","\int \frac{\sqrt{\sqrt{x^4+1}+x^2}}{{\left(x^2+1\right)}^2\,\sqrt{x^4+1}} \,d x","Not used",1,"int(((x^4 + 1)^(1/2) + x^2)^(1/2)/((x^2 + 1)^2*(x^4 + 1)^(1/2)), x)","F"
2376,-1,-1,189,0.000000,"\text{Not used}","int(-((q + p*x^5)^(1/2)*(2*q - 3*p*x^5))/(a*(q + p*x^5)^2 + c*x^4 + b*x^2*(q + p*x^5)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
2377,0,-1,189,0.000000,"\text{Not used}","int(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)","\int \frac{1}{x\,\sqrt{a\,x+\sqrt{a^2\,x^2-b}}\,\sqrt{c+\sqrt{a\,x+\sqrt{a^2\,x^2-b}}}} \,d x","Not used",1,"int(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)","F"
2378,0,-1,190,0.000000,"\text{Not used}","int(1/((x^2 + 1)^(1/3)*(x^2 + 9)),x)","\int \frac{1}{{\left(x^2+1\right)}^{1/3}\,\left(x^2+9\right)} \,d x","Not used",1,"int(1/((x^2 + 1)^(1/3)*(x^2 + 9)), x)","F"
2379,0,-1,190,0.000000,"\text{Not used}","int(-(b + a^3*x^2)/((b - a^3*x^2)*(a^3*x^3 - b*x^2)^(1/3)),x)","\int -\frac{a^3\,x^2+b}{\left(b-a^3\,x^2\right)\,{\left(a^3\,x^3-b\,x^2\right)}^{1/3}} \,d x","Not used",1,"int(-(b + a^3*x^2)/((b - a^3*x^2)*(a^3*x^3 - b*x^2)^(1/3)), x)","F"
2380,0,-1,190,0.000000,"\text{Not used}","int(-(b + a^3*x^2)/((b - a^3*x^2)*(a^3*x^3 - b*x^2)^(1/3)),x)","\int -\frac{a^3\,x^2+b}{\left(b-a^3\,x^2\right)\,{\left(a^3\,x^3-b\,x^2\right)}^{1/3}} \,d x","Not used",1,"int(-(b + a^3*x^2)/((b - a^3*x^2)*(a^3*x^3 - b*x^2)^(1/3)), x)","F"
2381,0,-1,190,0.000000,"\text{Not used}","int(-(4*k^2*x^3 - 2*x*(k^2 + 1) + k^2*x^4 + x^2*(k^2 + 1) - 3)/(((x^2 - 1)*(k^2*x^2 - 1))^(2/3)*(x^2*(d*k^2 + 1) - d + x*(d + 2) - d*k^2*x^3 + 1)),x)","\int -\frac{4\,k^2\,x^3-2\,x\,\left(k^2+1\right)+k^2\,x^4+x^2\,\left(k^2+1\right)-3}{{\left(\left(x^2-1\right)\,\left(k^2\,x^2-1\right)\right)}^{2/3}\,\left(x^2\,\left(d\,k^2+1\right)-d+x\,\left(d+2\right)-d\,k^2\,x^3+1\right)} \,d x","Not used",1,"int(-(4*k^2*x^3 - 2*x*(k^2 + 1) + k^2*x^4 + x^2*(k^2 + 1) - 3)/(((x^2 - 1)*(k^2*x^2 - 1))^(2/3)*(x^2*(d*k^2 + 1) - d + x*(d + 2) - d*k^2*x^3 + 1)), x)","F"
2382,0,-1,190,0.000000,"\text{Not used}","int(((x^3 + x^5)^(1/4)*(x^4 + x^8 + 1))/(x^4*(x^4 - 1)),x)","\int \frac{{\left(x^5+x^3\right)}^{1/4}\,\left(x^8+x^4+1\right)}{x^4\,\left(x^4-1\right)} \,d x","Not used",1,"int(((x^3 + x^5)^(1/4)*(x^4 + x^8 + 1))/(x^4*(x^4 - 1)), x)","F"
2383,0,-1,191,0.000000,"\text{Not used}","int(1/((b + a*x^2)*(x + x^3)^(1/3)),x)","\int \frac{1}{\left(a\,x^2+b\right)\,{\left(x^3+x\right)}^{1/3}} \,d x","Not used",1,"int(1/((b + a*x^2)*(x + x^3)^(1/3)), x)","F"
2384,0,-1,191,0.000000,"\text{Not used}","int(-(a*x^4 - b*x^3)^(1/4)/(x^2*(d - c*x^2)),x)","-\int \frac{{\left(a\,x^4-b\,x^3\right)}^{1/4}}{x^2\,\left(d-c\,x^2\right)} \,d x","Not used",1,"-int((a*x^4 - b*x^3)^(1/4)/(x^2*(d - c*x^2)), x)","F"
2385,0,-1,191,0.000000,"\text{Not used}","int(-(a*x^4 - b*x^3)^(1/4)/(x^2*(d - c*x^2)),x)","-\int \frac{{\left(a\,x^4-b\,x^3\right)}^{1/4}}{x^2\,\left(d-c\,x^2\right)} \,d x","Not used",1,"-int((a*x^4 - b*x^3)^(1/4)/(x^2*(d - c*x^2)), x)","F"
2386,0,-1,191,0.000000,"\text{Not used}","int(((b + a*x^6)*(x + x^3)^(1/3))/(d + c*x^6),x)","\int \frac{\left(a\,x^6+b\right)\,{\left(x^3+x\right)}^{1/3}}{c\,x^6+d} \,d x","Not used",1,"int(((b + a*x^6)*(x + x^3)^(1/3))/(d + c*x^6), x)","F"
2387,0,-1,191,0.000000,"\text{Not used}","int(((b + a*x^6)*(x + x^3)^(1/3))/(d + c*x^6),x)","\int \frac{\left(a\,x^6+b\right)\,{\left(x^3+x\right)}^{1/3}}{c\,x^6+d} \,d x","Not used",1,"int(((b + a*x^6)*(x + x^3)^(1/3))/(d + c*x^6), x)","F"
2388,0,-1,191,0.000000,"\text{Not used}","int(((2*x^6 - 1)*(x + x^7)^(1/3))/((x^6 - x^2 + 1)*(x^6 - 2*x^2 + 1)),x)","\int \frac{\left(2\,x^6-1\right)\,{\left(x^7+x\right)}^{1/3}}{\left(x^6-x^2+1\right)\,\left(x^6-2\,x^2+1\right)} \,d x","Not used",1,"int(((2*x^6 - 1)*(x + x^7)^(1/3))/((x^6 - x^2 + 1)*(x^6 - 2*x^2 + 1)), x)","F"
2389,0,-1,191,0.000000,"\text{Not used}","int(-((q - 2*p*x^3)*(a*(q + p*x^3)^3 + b*x^3)*(p^2*x^6 + q^2 - 2*p*q*x^2 + 2*p*q*x^3)^(1/2))/x^6,x)","-\int \frac{\left(q-2\,p\,x^3\right)\,\left(a\,{\left(p\,x^3+q\right)}^3+b\,x^3\right)\,\sqrt{p^2\,x^6+2\,p\,q\,x^3-2\,p\,q\,x^2+q^2}}{x^6} \,d x","Not used",1,"-int(((q - 2*p*x^3)*(a*(q + p*x^3)^3 + b*x^3)*(p^2*x^6 + q^2 - 2*p*q*x^2 + 2*p*q*x^3)^(1/2))/x^6, x)","F"
2390,0,-1,192,0.000000,"\text{Not used}","int((x*(2*k - 1) - 1)/((x*(k*x - 1)*(x - 1))^(1/3)*(x^2*(b*k + 1) - x*(b + 2) + 1)),x)","\int \frac{x\,\left(2\,k-1\right)-1}{{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{1/3}\,\left(\left(b\,k+1\right)\,x^2+\left(-b-2\right)\,x+1\right)} \,d x","Not used",1,"int((x*(2*k - 1) - 1)/((x*(k*x - 1)*(x - 1))^(1/3)*(x^2*(b*k + 1) - x*(b + 2) + 1)), x)","F"
2391,0,-1,192,0.000000,"\text{Not used}","int((2*x*(k^2 + 1) - 4*k^2*x^3 + k^2*x^4 + x^2*(k^2 + 1) - 3)/(((x^2 - 1)*(k^2*x^2 - 1))^(2/3)*(x^2*(d*k^2 + 1) - d - x*(d + 2) + d*k^2*x^3 + 1)),x)","\int \frac{2\,x\,\left(k^2+1\right)-4\,k^2\,x^3+k^2\,x^4+x^2\,\left(k^2+1\right)-3}{{\left(\left(x^2-1\right)\,\left(k^2\,x^2-1\right)\right)}^{2/3}\,\left(x^2\,\left(d\,k^2+1\right)-d-x\,\left(d+2\right)+d\,k^2\,x^3+1\right)} \,d x","Not used",1,"int((2*x*(k^2 + 1) - 4*k^2*x^3 + k^2*x^4 + x^2*(k^2 + 1) - 3)/(((x^2 - 1)*(k^2*x^2 - 1))^(2/3)*(x^2*(d*k^2 + 1) - d - x*(d + 2) + d*k^2*x^3 + 1)), x)","F"
2392,0,-1,192,0.000000,"\text{Not used}","int(-(b - 3*a*x^3 + 3*x^6)/(x^6*(a*x^4 - b*x)^(1/4)*(b - 2*a*x^3)),x)","-\int \frac{3\,x^6-3\,a\,x^3+b}{x^6\,{\left(a\,x^4-b\,x\right)}^{1/4}\,\left(b-2\,a\,x^3\right)} \,d x","Not used",1,"-int((b - 3*a*x^3 + 3*x^6)/(x^6*(a*x^4 - b*x)^(1/4)*(b - 2*a*x^3)), x)","F"
2393,0,-1,192,0.000000,"\text{Not used}","int(-((a*(q + p*x^3)^3 + b*x^6)*(2*q - p*x^3)*(p^2*x^6 + q^2 + 2*p*q*x^3 - 2*p*q*x^4)^(1/2))/x^11,x)","\int -\frac{\left(a\,{\left(p\,x^3+q\right)}^3+b\,x^6\right)\,\left(2\,q-p\,x^3\right)\,\sqrt{p^2\,x^6-2\,p\,q\,x^4+2\,p\,q\,x^3+q^2}}{x^{11}} \,d x","Not used",1,"int(-((a*(q + p*x^3)^3 + b*x^6)*(2*q - p*x^3)*(p^2*x^6 + q^2 + 2*p*q*x^3 - 2*p*q*x^4)^(1/2))/x^11, x)","F"
2394,0,-1,192,0.000000,"\text{Not used}","int((x*(x + 1)^(1/2))/(x + (x + (x + 1)^(1/2))^(1/2)),x)","\int \frac{x\,\sqrt{x+1}}{x+\sqrt{x+\sqrt{x+1}}} \,d x","Not used",1,"int((x*(x + 1)^(1/2))/(x + (x + (x + 1)^(1/2))^(1/2)), x)","F"
2395,0,-1,192,0.000000,"\text{Not used}","int((x*(x + 1)^(1/2))/(x + (x + (x + 1)^(1/2))^(1/2)),x)","\int \frac{x\,\sqrt{x+1}}{x+\sqrt{x+\sqrt{x+1}}} \,d x","Not used",1,"int((x*(x + 1)^(1/2))/(x + (x + (x + 1)^(1/2))^(1/2)), x)","F"
2396,1,305,193,0.855885,"\text{Not used}","int(x^2/((b + a*x)/(d + c*x))^(1/2),x)","\frac{\frac{{\left(\frac{b+a\,x}{d+c\,x}\right)}^{5/2}\,\left(\frac{a^3\,d^3}{8}+\frac{a^2\,b\,c\,d^2}{8}+\frac{3\,a\,b^2\,c^2\,d}{8}-\frac{5\,b^3\,c^3}{8}\right)}{a^6}+\frac{{\left(\frac{b+a\,x}{d+c\,x}\right)}^{3/2}\,\left(\frac{a^3\,d^3}{3}-a^2\,b\,c\,d^2-a\,b^2\,c^2\,d+\frac{5\,b^3\,c^3}{3}\right)}{a^5\,c}-\frac{\sqrt{\frac{b+a\,x}{d+c\,x}}\,\left(\frac{a^3\,d^3}{8}+\frac{a^2\,b\,c\,d^2}{8}-\frac{13\,a\,b^2\,c^2\,d}{8}+\frac{11\,b^3\,c^3}{8}\right)}{a^4\,c^2}}{\frac{3\,c^2\,{\left(b+a\,x\right)}^2}{a^2\,{\left(d+c\,x\right)}^2}-\frac{c^3\,{\left(b+a\,x\right)}^3}{a^3\,{\left(d+c\,x\right)}^3}-\frac{3\,c\,\left(b+a\,x\right)}{a\,\left(d+c\,x\right)}+1}+\frac{\mathrm{atanh}\left(\frac{\sqrt{c}\,\sqrt{\frac{b+a\,x}{d+c\,x}}}{\sqrt{a}}\right)\,\left(a\,d-b\,c\right)\,\left(a^2\,d^2+2\,a\,b\,c\,d+5\,b^2\,c^2\right)}{8\,a^{7/2}\,c^{5/2}}","Not used",1,"((((b + a*x)/(d + c*x))^(5/2)*((a^3*d^3)/8 - (5*b^3*c^3)/8 + (3*a*b^2*c^2*d)/8 + (a^2*b*c*d^2)/8))/a^6 + (((b + a*x)/(d + c*x))^(3/2)*((a^3*d^3)/3 + (5*b^3*c^3)/3 - a*b^2*c^2*d - a^2*b*c*d^2))/(a^5*c) - (((b + a*x)/(d + c*x))^(1/2)*((a^3*d^3)/8 + (11*b^3*c^3)/8 - (13*a*b^2*c^2*d)/8 + (a^2*b*c*d^2)/8))/(a^4*c^2))/((3*c^2*(b + a*x)^2)/(a^2*(d + c*x)^2) - (c^3*(b + a*x)^3)/(a^3*(d + c*x)^3) - (3*c*(b + a*x))/(a*(d + c*x)) + 1) + (atanh((c^(1/2)*((b + a*x)/(d + c*x))^(1/2))/a^(1/2))*(a*d - b*c)*(a^2*d^2 + 5*b^2*c^2 + 2*a*b*c*d))/(8*a^(7/2)*c^(5/2))","B"
2397,0,-1,193,0.000000,"\text{Not used}","int(-(b + 2*a*x)/((2*b + a*x)*(b - a*x)*(b*x + a*x^2 - 1)^(1/4)),x)","-\int \frac{b+2\,a\,x}{\left(2\,b+a\,x\right)\,\left(b-a\,x\right)\,{\left(a\,x^2+b\,x-1\right)}^{1/4}} \,d x","Not used",1,"-int((b + 2*a*x)/((2*b + a*x)*(b - a*x)*(b*x + a*x^2 - 1)^(1/4)), x)","F"
2398,0,-1,193,0.000000,"\text{Not used}","int((k*x^2 + a*k*x - 1)/((k*x^2 + 1)*((x^2 - 1)*(k^2*x^2 - 1))^(1/2)),x)","\int \frac{k\,x^2+a\,k\,x-1}{\left(k\,x^2+1\right)\,\sqrt{\left(x^2-1\right)\,\left(k^2\,x^2-1\right)}} \,d x","Not used",1,"int((k*x^2 + a*k*x - 1)/((k*x^2 + 1)*((x^2 - 1)*(k^2*x^2 - 1))^(1/2)), x)","F"
2399,0,-1,193,0.000000,"\text{Not used}","int(-((b + x^3)*(b - x^3))/(a*x^2 + x^3)^(1/3),x)","-\int \frac{\left(x^3+b\right)\,\left(b-x^3\right)}{{\left(x^3+a\,x^2\right)}^{1/3}} \,d x","Not used",1,"-int(((b + x^3)*(b - x^3))/(a*x^2 + x^3)^(1/3), x)","F"
2400,0,-1,193,0.000000,"\text{Not used}","int(-x/((x^2 - 1)*(a + b*x + a*x^4 + b*x^3 + c*x^2)^(1/2)),x)","-\int \frac{x}{\left(x^2-1\right)\,\sqrt{a\,x^4+b\,x^3+c\,x^2+b\,x+a}} \,d x","Not used",1,"-int(x/((x^2 - 1)*(a + b*x + a*x^4 + b*x^3 + c*x^2)^(1/2)), x)","F"
2401,0,-1,193,0.000000,"\text{Not used}","int(-1/((x^4 - 1)^(1/4)*(x^4 - x^8 + 1)),x)","-\int \frac{1}{{\left(x^4-1\right)}^{1/4}\,\left(-x^8+x^4+1\right)} \,d x","Not used",1,"-int(1/((x^4 - 1)^(1/4)*(x^4 - x^8 + 1)), x)","F"
2402,0,-1,193,0.000000,"\text{Not used}","int(-(2*x^4 - 1)/((x^4 - 1)^(1/4)*(x^4 - x^8 + 1)),x)","-\int \frac{2\,x^4-1}{{\left(x^4-1\right)}^{1/4}\,\left(-x^8+x^4+1\right)} \,d x","Not used",1,"-int((2*x^4 - 1)/((x^4 - 1)^(1/4)*(x^4 - x^8 + 1)), x)","F"
2403,0,-1,193,0.000000,"\text{Not used}","int(1/((x^4 + 1)^(1/4)*(x^4 + x^8 - 1)),x)","\int \frac{1}{{\left(x^4+1\right)}^{1/4}\,\left(x^8+x^4-1\right)} \,d x","Not used",1,"int(1/((x^4 + 1)^(1/4)*(x^4 + x^8 - 1)), x)","F"
2404,0,-1,193,0.000000,"\text{Not used}","int((x^4 - 2)/((x^4 + 1)^(1/4)*(x^4 + x^8 - 1)),x)","\int \frac{x^4-2}{{\left(x^4+1\right)}^{1/4}\,\left(x^8+x^4-1\right)} \,d x","Not used",1,"int((x^4 - 2)/((x^4 + 1)^(1/4)*(x^4 + x^8 - 1)), x)","F"
2405,1,207,193,4.814671,"\text{Not used}","int(-((d - c*x^8)*(a*x^4 + b*x^3)^(1/4))/x^8,x)","\frac{4\,d\,{\left(a\,x^4+b\,x^3\right)}^{1/4}}{25\,x^7}-\frac{16\,a^2\,d\,{\left(a\,x^4+b\,x^3\right)}^{1/4}}{1785\,b^2\,x^5}+\frac{256\,a^3\,d\,{\left(a\,x^4+b\,x^3\right)}^{1/4}}{23205\,b^3\,x^4}-\frac{1024\,a^4\,d\,{\left(a\,x^4+b\,x^3\right)}^{1/4}}{69615\,b^4\,x^3}+\frac{8192\,a^5\,d\,{\left(a\,x^4+b\,x^3\right)}^{1/4}}{348075\,b^5\,x^2}-\frac{32768\,a^6\,d\,{\left(a\,x^4+b\,x^3\right)}^{1/4}}{348075\,b^6\,x}+\frac{4\,c\,x\,{\left(a\,x^4+b\,x^3\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{4},\frac{7}{4};\ \frac{11}{4};\ -\frac{a\,x}{b}\right)}{7\,{\left(\frac{a\,x}{b}+1\right)}^{1/4}}+\frac{4\,a\,d\,{\left(a\,x^4+b\,x^3\right)}^{1/4}}{525\,b\,x^6}","Not used",1,"(4*d*(a*x^4 + b*x^3)^(1/4))/(25*x^7) - (16*a^2*d*(a*x^4 + b*x^3)^(1/4))/(1785*b^2*x^5) + (256*a^3*d*(a*x^4 + b*x^3)^(1/4))/(23205*b^3*x^4) - (1024*a^4*d*(a*x^4 + b*x^3)^(1/4))/(69615*b^4*x^3) + (8192*a^5*d*(a*x^4 + b*x^3)^(1/4))/(348075*b^5*x^2) - (32768*a^6*d*(a*x^4 + b*x^3)^(1/4))/(348075*b^6*x) + (4*c*x*(a*x^4 + b*x^3)^(1/4)*hypergeom([-1/4, 7/4], 11/4, -(a*x)/b))/(7*((a*x)/b + 1)^(1/4)) + (4*a*d*(a*x^4 + b*x^3)^(1/4))/(525*b*x^6)","B"
2406,1,47,193,2.291212,"\text{Not used}","int(-(x^4*(x^5 + 2))/((x^5 + 1)^(1/2)*(x^5 - a*x^10 + 1)),x)","\frac{\ln\left(\frac{a\,x^{10}+x^5-2\,\sqrt{a}\,x^5\,\sqrt{x^5+1}+1}{-4\,a\,x^{10}+4\,x^5+4}\right)}{5\,\sqrt{a}}","Not used",1,"log((a*x^10 + x^5 - 2*a^(1/2)*x^5*(x^5 + 1)^(1/2) + 1)/(4*x^5 - 4*a*x^10 + 4))/(5*a^(1/2))","B"
2407,1,47,193,2.242668,"\text{Not used}","int((x^4*(x^5 - 2))/((x^5 - 1)^(1/2)*(a*x^10 - x^5 + 1)),x)","\frac{\ln\left(\frac{a\,x^{10}+x^5-2\,\sqrt{a}\,x^5\,\sqrt{x^5-1}-1}{4\,a\,x^{10}-4\,x^5+4}\right)}{5\,\sqrt{a}}","Not used",1,"log((a*x^10 + x^5 - 2*a^(1/2)*x^5*(x^5 - 1)^(1/2) - 1)/(4*a*x^10 - 4*x^5 + 4))/(5*a^(1/2))","B"
2408,1,73,193,2.667392,"\text{Not used}","int((x^4*(x^5 + 3))/((x^5 + 1)^(1/2)*(a - x^5*(2*a + 1) + a*x^10 - 1)),x)","\frac{\ln\left(\frac{a-2\,a\,x^5+a\,x^{10}+2\,\sqrt{a}\,\sqrt{x^5+1}+x^5-2\,\sqrt{a}\,x^5\,\sqrt{x^5+1}+1}{2\,a\,x^5-a-a\,x^{10}+x^5+1}\right)}{5\,\sqrt{a}}","Not used",1,"log((a - 2*a*x^5 + a*x^10 + 2*a^(1/2)*(x^5 + 1)^(1/2) + x^5 - 2*a^(1/2)*x^5*(x^5 + 1)^(1/2) + 1)/(2*a*x^5 - a - a*x^10 + x^5 + 1))/(5*a^(1/2))","B"
2409,0,-1,193,0.000000,"\text{Not used}","int(-1/((c + (b + a*x)^(1/2))^(1/2)*(b + a*x)^(1/2) - x^2),x)","-\int \frac{1}{\sqrt{c+\sqrt{b+a\,x}}\,\sqrt{b+a\,x}-x^2} \,d x","Not used",1,"-int(1/((c + (b + a*x)^(1/2))^(1/2)*(b + a*x)^(1/2) - x^2), x)","F"
2410,0,-1,193,0.000000,"\text{Not used}","int(-1/((c + (b + a*x)^(1/2))^(1/2)*(b + a*x)^(1/2) - x^2),x)","-\int \frac{1}{\sqrt{c+\sqrt{b+a\,x}}\,\sqrt{b+a\,x}-x^2} \,d x","Not used",1,"-int(1/((c + (b + a*x)^(1/2))^(1/2)*(b + a*x)^(1/2) - x^2), x)","F"
2411,0,-1,193,0.000000,"\text{Not used}","int(1/((c + (a*x + (a^2*x^2 - b)^(1/2))^(1/4))^(2/3)*(a^2*x^2 - b)^(1/2)),x)","\int \frac{1}{{\left(c+{\left(a\,x+\sqrt{a^2\,x^2-b}\right)}^{1/4}\right)}^{2/3}\,\sqrt{a^2\,x^2-b}} \,d x","Not used",1,"int(1/((c + (a*x + (a^2*x^2 - b)^(1/2))^(1/4))^(2/3)*(a^2*x^2 - b)^(1/2)), x)","F"
2412,0,-1,193,0.000000,"\text{Not used}","int(1/((c + (a*x + (a^2*x^2 - b)^(1/2))^(1/4))^(1/3)*(a^2*x^2 - b)^(1/2)),x)","\int \frac{1}{{\left(c+{\left(a\,x+\sqrt{a^2\,x^2-b}\right)}^{1/4}\right)}^{1/3}\,\sqrt{a^2\,x^2-b}} \,d x","Not used",1,"int(1/((c + (a*x + (a^2*x^2 - b)^(1/2))^(1/4))^(1/3)*(a^2*x^2 - b)^(1/2)), x)","F"
2413,0,-1,194,0.000000,"\text{Not used}","int(1/((x^2 - 3)*(1 - 3*x^2)^(1/3)),x)","\int \frac{1}{\left(x^2-3\right)\,{\left(1-3\,x^2\right)}^{1/3}} \,d x","Not used",1,"int(1/((x^2 - 3)*(1 - 3*x^2)^(1/3)), x)","F"
2414,0,-1,194,0.000000,"\text{Not used}","int(-(a - x)/((-x^2*(a - x))^(1/3)*(a^2*d + x^2*(d - 1) - 2*a*d*x)),x)","\int -\frac{a-x}{{\left(-x^2\,\left(a-x\right)\right)}^{1/3}\,\left(d\,a^2-2\,d\,a\,x+\left(d-1\right)\,x^2\right)} \,d x","Not used",1,"int(-(a - x)/((-x^2*(a - x))^(1/3)*(a^2*d + x^2*(d - 1) - 2*a*d*x)), x)","F"
2415,0,-1,194,0.000000,"\text{Not used}","int((b - a*x^4 + 2*x^8)/((a*x^4 - b)^(1/4)*(b + 3*a*x^4)),x)","\int \frac{2\,x^8-a\,x^4+b}{{\left(a\,x^4-b\right)}^{1/4}\,\left(3\,a\,x^4+b\right)} \,d x","Not used",1,"int((b - a*x^4 + 2*x^8)/((a*x^4 - b)^(1/4)*(b + 3*a*x^4)), x)","F"
2416,0,-1,194,0.000000,"\text{Not used}","int((d + c*x^2)/(a*x + (b^2 + a^2*x^2)^(1/2))^(1/2),x)","\int \frac{c\,x^2+d}{\sqrt{a\,x+\sqrt{a^2\,x^2+b^2}}} \,d x","Not used",1,"int((d + c*x^2)/(a*x + (b^2 + a^2*x^2)^(1/2))^(1/2), x)","F"
2417,0,-1,195,0.000000,"\text{Not used}","int(-((c - d*x^8)*(a*x^4 + b*x^3)^(1/4))/x^4,x)","\int -\frac{\left(c-d\,x^8\right)\,{\left(a\,x^4+b\,x^3\right)}^{1/4}}{x^4} \,d x","Not used",1,"int(-((c - d*x^8)*(a*x^4 + b*x^3)^(1/4))/x^4, x)","F"
2418,0,-1,195,0.000000,"\text{Not used}","int((a*x^2 + b^2)^(5/2)/(b + (a*x^2 + b^2)^(1/2))^(1/2),x)","\int \frac{{\left(b^2+a\,x^2\right)}^{5/2}}{\sqrt{b+\sqrt{b^2+a\,x^2}}} \,d x","Not used",1,"int((a*x^2 + b^2)^(5/2)/(b + (a*x^2 + b^2)^(1/2))^(1/2), x)","F"
2419,0,-1,195,0.000000,"\text{Not used}","int(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x + (x^2 + 1)^(1/2))^(1/2),x)","\int \sqrt{\sqrt{x+\sqrt{x^2+1}}+1}\,\sqrt{x+\sqrt{x^2+1}} \,d x","Not used",1,"int(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x + (x^2 + 1)^(1/2))^(1/2), x)","F"
2420,0,-1,195,0.000000,"\text{Not used}","int(-((_C4 - _C3*x^2)*(3*_C4 + x + 3*_C3*x^2))/(x*((_C4 + _C0*x + _C3*x^2)/(_C4 + _C1*x + _C3*x^2))^(1/2)*(_C4^2 - x^2 + _C3^2*x^4 + 2*_C3*_C4*x^2)),x)","\int -\frac{\left(_{\mathrm{C4}}-_{\mathrm{C3}}\,x^2\right)\,\left(3\,_{\mathrm{C3}}\,x^2+x+3\,_{\mathrm{C4}}\right)}{x\,\sqrt{\frac{_{\mathrm{C3}}\,x^2+_{\mathrm{C0}}\,x+_{\mathrm{C4}}}{_{\mathrm{C3}}\,x^2+_{\mathrm{C1}}\,x+_{\mathrm{C4}}}}\,\left({_{\mathrm{C3}}}^2\,x^4+2\,_{\mathrm{C3}}\,_{\mathrm{C4}}\,x^2+{_{\mathrm{C4}}}^2-x^2\right)} \,d x","Not used",1,"int(-((_C4 - _C3*x^2)*(3*_C4 + x + 3*_C3*x^2))/(x*((_C4 + _C0*x + _C3*x^2)/(_C4 + _C1*x + _C3*x^2))^(1/2)*(_C4^2 - x^2 + _C3^2*x^4 + 2*_C3*_C4*x^2)), x)","F"
2421,0,-1,196,0.000000,"\text{Not used}","int((x^6 + 1)/((x^6 - 1)*(x + x^5)^(1/3)),x)","\int \frac{x^6+1}{\left(x^6-1\right)\,{\left(x^5+x\right)}^{1/3}} \,d x","Not used",1,"int((x^6 + 1)/((x^6 - 1)*(x + x^5)^(1/3)), x)","F"
2422,0,-1,196,0.000000,"\text{Not used}","int(1/(x^2*(11*x^2 - 8*x + 17*x^3 - 20*x^4 - 7*x^5 + 16*x^6 - 7*x^7 + x^8 - 4)^(1/3)),x)","\int \frac{1}{x^2\,{\left(x^8-7\,x^7+16\,x^6-7\,x^5-20\,x^4+17\,x^3+11\,x^2-8\,x-4\right)}^{1/3}} \,d x","Not used",1,"int(1/(x^2*(11*x^2 - 8*x + 17*x^3 - 20*x^4 - 7*x^5 + 16*x^6 - 7*x^7 + x^8 - 4)^(1/3)), x)","F"
2423,0,-1,196,0.000000,"\text{Not used}","int(-(b^8 + a^8*x^8)/((b^4 + a^4*x^4)^(1/2)*(b^8 - a^8*x^8)),x)","\int -\frac{a^8\,x^8+b^8}{\sqrt{a^4\,x^4+b^4}\,\left(b^8-a^8\,x^8\right)} \,d x","Not used",1,"int(-(b^8 + a^8*x^8)/((b^4 + a^4*x^4)^(1/2)*(b^8 - a^8*x^8)), x)","F"
2424,0,-1,196,0.000000,"\text{Not used}","int((x + (x + 1)^(1/2))^(1/2)/(x - (x + 1)^(1/2)),x)","\int \frac{\sqrt{x+\sqrt{x+1}}}{x-\sqrt{x+1}} \,d x","Not used",1,"int((x + (x + 1)^(1/2))^(1/2)/(x - (x + 1)^(1/2)), x)","F"
2425,0,-1,196,0.000000,"\text{Not used}","int((x + (x + 1)^(1/2))^(1/2)/(x - (x + 1)^(1/2)),x)","\int \frac{\sqrt{x+\sqrt{x+1}}}{x-\sqrt{x+1}} \,d x","Not used",1,"int((x + (x + 1)^(1/2))^(1/2)/(x - (x + 1)^(1/2)), x)","F"
2426,0,-1,196,0.000000,"\text{Not used}","int(-((a*x + (b^2 + a^2*x^2)^(1/2))^(1/2)*(d + c*x^2))/(d - c*x^2),x)","\int -\frac{\sqrt{a\,x+\sqrt{a^2\,x^2+b^2}}\,\left(c\,x^2+d\right)}{d-c\,x^2} \,d x","Not used",1,"int(-((a*x + (b^2 + a^2*x^2)^(1/2))^(1/2)*(d + c*x^2))/(d - c*x^2), x)","F"
2427,0,-1,196,0.000000,"\text{Not used}","int(-((a*x + (b^2 + a^2*x^2)^(1/2))^(1/2)*(d + c*x^2))/(d - c*x^2),x)","\int -\frac{\sqrt{a\,x+\sqrt{a^2\,x^2+b^2}}\,\left(c\,x^2+d\right)}{d-c\,x^2} \,d x","Not used",1,"int(-((a*x + (b^2 + a^2*x^2)^(1/2))^(1/2)*(d + c*x^2))/(d - c*x^2), x)","F"
2428,0,-1,196,0.000000,"\text{Not used}","int(((a^2*x^2)/b^2 - a/b^2)^(1/2)/(x*(a*x^2 + b*x*((a^2*x^2)/b^2 - a/b^2)^(1/2))^(1/2)),x)","\int \frac{\sqrt{\frac{a^2\,x^2}{b^2}-\frac{a}{b^2}}}{x\,\sqrt{a\,x^2+b\,x\,\sqrt{\frac{a^2\,x^2}{b^2}-\frac{a}{b^2}}}} \,d x","Not used",1,"int(((a^2*x^2)/b^2 - a/b^2)^(1/2)/(x*(a*x^2 + b*x*((a^2*x^2)/b^2 - a/b^2)^(1/2))^(1/2)), x)","F"
2429,0,-1,196,0.000000,"\text{Not used}","int((x^2 - 1)/((x^2 + 1)*(((x + 1)^(1/2) + 1)^(1/2) + 1)^(1/2)*((x + 1)^(1/2) + 1)^(1/2)),x)","\int \frac{x^2-1}{\left(x^2+1\right)\,\sqrt{\sqrt{\sqrt{x+1}+1}+1}\,\sqrt{\sqrt{x+1}+1}} \,d x","Not used",1,"int((x^2 - 1)/((x^2 + 1)*(((x + 1)^(1/2) + 1)^(1/2) + 1)^(1/2)*((x + 1)^(1/2) + 1)^(1/2)), x)","F"
2430,0,-1,196,0.000000,"\text{Not used}","int((x^2 - 1)/((x^2 + 1)*(((x + 1)^(1/2) + 1)^(1/2) + 1)^(1/2)*((x + 1)^(1/2) + 1)^(1/2)),x)","\int \frac{x^2-1}{\left(x^2+1\right)\,\sqrt{\sqrt{\sqrt{x+1}+1}+1}\,\sqrt{\sqrt{x+1}+1}} \,d x","Not used",1,"int((x^2 - 1)/((x^2 + 1)*(((x + 1)^(1/2) + 1)^(1/2) + 1)^(1/2)*((x + 1)^(1/2) + 1)^(1/2)), x)","F"
2431,0,-1,196,0.000000,"\text{Not used}","int(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2),x)","\int \sqrt{\sqrt{x+\sqrt{x^2+1}}+1} \,d x","Not used",1,"int(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2), x)","F"
2432,0,-1,197,0.000000,"\text{Not used}","int((3*x + 2)/((3*x^2 + 4)^(1/3)*(52*x + 9*x^2 - 12)),x)","\int \frac{3\,x+2}{{\left(3\,x^2+4\right)}^{1/3}\,\left(9\,x^2+52\,x-12\right)} \,d x","Not used",1,"int((3*x + 2)/((3*x^2 + 4)^(1/3)*(52*x + 9*x^2 - 12)), x)","F"
2433,1,143,197,1.763640,"\text{Not used}","int((c + b*x + a*x^2)^(5/2),x)","\frac{\left(\frac{b}{2}+a\,x\right)\,{\left(a\,x^2+b\,x+c\right)}^{5/2}}{6\,a}+\frac{\left(5\,a\,c-\frac{5\,b^2}{4}\right)\,\left(\frac{\left(\left(\frac{x}{2}+\frac{b}{4\,a}\right)\,\sqrt{a\,x^2+b\,x+c}+\frac{\ln\left(\frac{\frac{b}{2}+a\,x}{\sqrt{a}}+\sqrt{a\,x^2+b\,x+c}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,a^{3/2}}\right)\,\left(3\,a\,c-\frac{3\,b^2}{4}\right)}{4\,a}+\frac{\left(\frac{b}{2}+a\,x\right)\,{\left(a\,x^2+b\,x+c\right)}^{3/2}}{4\,a}\right)}{6\,a}","Not used",1,"((b/2 + a*x)*(c + b*x + a*x^2)^(5/2))/(6*a) + ((5*a*c - (5*b^2)/4)*((((x/2 + b/(4*a))*(c + b*x + a*x^2)^(1/2) + (log((b/2 + a*x)/a^(1/2) + (c + b*x + a*x^2)^(1/2))*(a*c - b^2/4))/(2*a^(3/2)))*(3*a*c - (3*b^2)/4))/(4*a) + ((b/2 + a*x)*(c + b*x + a*x^2)^(3/2))/(4*a)))/(6*a)","B"
2434,0,-1,197,0.000000,"\text{Not used}","int(-(x^8 - x^4 + 1)/(x^2*(x^4 - 1)^(3/4)*(x^4 - x^8 + 1)),x)","\int -\frac{x^8-x^4+1}{x^2\,{\left(x^4-1\right)}^{3/4}\,\left(-x^8+x^4+1\right)} \,d x","Not used",1,"int(-(x^8 - x^4 + 1)/(x^2*(x^4 - 1)^(3/4)*(x^4 - x^8 + 1)), x)","F"
2435,0,-1,197,0.000000,"\text{Not used}","int(-((a*x + (b^2 + a^2*x^2)^(1/2))^(1/2)*(d - c*x^2))/(d + c*x^2),x)","\int -\frac{\sqrt{a\,x+\sqrt{a^2\,x^2+b^2}}\,\left(d-c\,x^2\right)}{c\,x^2+d} \,d x","Not used",1,"int(-((a*x + (b^2 + a^2*x^2)^(1/2))^(1/2)*(d - c*x^2))/(d + c*x^2), x)","F"
2436,0,-1,197,0.000000,"\text{Not used}","int(-((a*x + (b^2 + a^2*x^2)^(1/2))^(1/2)*(d - c*x^2))/(d + c*x^2),x)","\int -\frac{\sqrt{a\,x+\sqrt{a^2\,x^2+b^2}}\,\left(d-c\,x^2\right)}{c\,x^2+d} \,d x","Not used",1,"int(-((a*x + (b^2 + a^2*x^2)^(1/2))^(1/2)*(d - c*x^2))/(d + c*x^2), x)","F"
2437,0,-1,197,0.000000,"\text{Not used}","int(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)/(x + (x^2 + 1)^(1/2))^(1/2),x)","\int \frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}}{\sqrt{x+\sqrt{x^2+1}}} \,d x","Not used",1,"int(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)/(x + (x^2 + 1)^(1/2))^(1/2), x)","F"
2438,0,-1,198,0.000000,"\text{Not used}","int(1/(x*(3*x^2 - 6*x + 4)^(1/3)),x)","\int \frac{1}{x\,{\left(3\,x^2-6\,x+4\right)}^{1/3}} \,d x","Not used",1,"int(1/(x*(3*x^2 - 6*x + 4)^(1/3)), x)","F"
2439,0,-1,198,0.000000,"\text{Not used}","int(-(x^2*(a*x^4 + b*x^3)^(1/4))/(b - a*x),x)","-\int \frac{x^2\,{\left(a\,x^4+b\,x^3\right)}^{1/4}}{b-a\,x} \,d x","Not used",1,"-int((x^2*(a*x^4 + b*x^3)^(1/4))/(b - a*x), x)","F"
2440,0,-1,198,0.000000,"\text{Not used}","int((x^6 - 1)/((x^6 + 1)*(x + x^5)^(1/3)),x)","\int \frac{x^6-1}{\left(x^6+1\right)\,{\left(x^5+x\right)}^{1/3}} \,d x","Not used",1,"int((x^6 - 1)/((x^6 + 1)*(x + x^5)^(1/3)), x)","F"
2441,0,-1,198,0.000000,"\text{Not used}","int((b + a*x^8 - 2*x^4)/((a*x^4 - b)^(1/4)*(b + 2*a*x^8 - 2*x^4)),x)","\int \frac{a\,x^8-2\,x^4+b}{{\left(a\,x^4-b\right)}^{1/4}\,\left(2\,a\,x^8-2\,x^4+b\right)} \,d x","Not used",1,"int((b + a*x^8 - 2*x^4)/((a*x^4 - b)^(1/4)*(b + 2*a*x^8 - 2*x^4)), x)","F"
2442,0,-1,198,0.000000,"\text{Not used}","int((b + a*x^8 - 2*x^4)/((a*x^4 - b)^(1/4)*(b + 2*a*x^8 - 2*x^4)),x)","\int \frac{a\,x^8-2\,x^4+b}{{\left(a\,x^4-b\right)}^{1/4}\,\left(2\,a\,x^8-2\,x^4+b\right)} \,d x","Not used",1,"int((b + a*x^8 - 2*x^4)/((a*x^4 - b)^(1/4)*(b + 2*a*x^8 - 2*x^4)), x)","F"
2443,0,-1,198,0.000000,"\text{Not used}","int((2*a*x^8 - b + c*x^4)/((a*x^4 - b)^(1/4)*(b + a*x^8 - c*x^4)),x)","\int \frac{2\,a\,x^8+c\,x^4-b}{{\left(a\,x^4-b\right)}^{1/4}\,\left(a\,x^8-c\,x^4+b\right)} \,d x","Not used",1,"int((2*a*x^8 - b + c*x^4)/((a*x^4 - b)^(1/4)*(b + a*x^8 - c*x^4)), x)","F"
2444,0,-1,198,0.000000,"\text{Not used}","int((2*a*x^8 - b + c*x^4)/((a*x^4 - b)^(1/4)*(b + a*x^8 - c*x^4)),x)","\int \frac{2\,a\,x^8+c\,x^4-b}{{\left(a\,x^4-b\right)}^{1/4}\,\left(a\,x^8-c\,x^4+b\right)} \,d x","Not used",1,"int((2*a*x^8 - b + c*x^4)/((a*x^4 - b)^(1/4)*(b + a*x^8 - c*x^4)), x)","F"
2445,0,-1,198,0.000000,"\text{Not used}","int(-((d - c*x^8)*(a*x^4 - b*x^3)^(1/4))/x^4,x)","-\int \frac{\left(d-c\,x^8\right)\,{\left(a\,x^4-b\,x^3\right)}^{1/4}}{x^4} \,d x","Not used",1,"-int(((d - c*x^8)*(a*x^4 - b*x^3)^(1/4))/x^4, x)","F"
2446,0,-1,198,0.000000,"\text{Not used}","int((b + (a*x^2 + b^2)^(1/2))^(1/2)/x^6,x)","\int \frac{\sqrt{b+\sqrt{b^2+a\,x^2}}}{x^6} \,d x","Not used",1,"int((b + (a*x^2 + b^2)^(1/2))^(1/2)/x^6, x)","F"
2447,0,-1,198,0.000000,"\text{Not used}","int((b + (a*x^2 + b^2)^(1/2))^(1/2)/(x^6*(a*x^2 + b^2)^(1/2)),x)","\int \frac{\sqrt{b+\sqrt{b^2+a\,x^2}}}{x^6\,\sqrt{b^2+a\,x^2}} \,d x","Not used",1,"int((b + (a*x^2 + b^2)^(1/2))^(1/2)/(x^6*(a*x^2 + b^2)^(1/2)), x)","F"
2448,0,-1,198,0.000000,"\text{Not used}","int((d + (c + (b + a*x)^(1/2))^(1/2))^(1/2),x)","\int \sqrt{d+\sqrt{c+\sqrt{b+a\,x}}} \,d x","Not used",1,"int((d + (c + (b + a*x)^(1/2))^(1/2))^(1/2), x)","F"
2449,0,-1,199,0.000000,"\text{Not used}","int(-1/((x^3 - x)^(1/3)*(b - a*x^2)),x)","-\int \frac{1}{{\left(x^3-x\right)}^{1/3}\,\left(b-a\,x^2\right)} \,d x","Not used",1,"-int(1/((x^3 - x)^(1/3)*(b - a*x^2)), x)","F"
2450,0,-1,199,0.000000,"\text{Not used}","int(1/(x^3*(x^2 + x^3)^(1/3)*(x^3 - 1)),x)","-\int \frac{1}{{\left(x^3+x^2\right)}^{1/3}\,\left(x^3-x^6\right)} \,d x","Not used",1,"-int(1/((x^2 + x^3)^(1/3)*(x^3 - x^6)), x)","F"
2451,0,-1,199,0.000000,"\text{Not used}","int(1/(x^3*(x^2 + x^3)^(1/3)*(x^3 - 1)),x)","-\int \frac{1}{{\left(x^3+x^2\right)}^{1/3}\,\left(x^3-x^6\right)} \,d x","Not used",1,"-int(1/((x^2 + x^3)^(1/3)*(x^3 - x^6)), x)","F"
2452,0,-1,199,0.000000,"\text{Not used}","int(-1/(x^6*(a^3*x^3 + b^2*x^2)^(1/3)*(b - a*x^3)),x)","-\int \frac{1}{x^6\,{\left(a^3\,x^3+b^2\,x^2\right)}^{1/3}\,\left(b-a\,x^3\right)} \,d x","Not used",1,"-int(1/(x^6*(a^3*x^3 + b^2*x^2)^(1/3)*(b - a*x^3)), x)","F"
2453,0,-1,199,0.000000,"\text{Not used}","int(-1/(x^6*(a^3*x^3 + b^2*x^2)^(1/3)*(b - a*x^3)),x)","-\int \frac{1}{x^6\,{\left(a^3\,x^3+b^2\,x^2\right)}^{1/3}\,\left(b-a\,x^3\right)} \,d x","Not used",1,"-int(1/(x^6*(a^3*x^3 + b^2*x^2)^(1/3)*(b - a*x^3)), x)","F"
2454,0,-1,199,0.000000,"\text{Not used}","int(((x^2 - 1)*(3*x^2 + x^4 + 1)^(1/2)*(x + x^2 + 1))/(x + x^2 + x^3 + x^4 + 1)^2,x)","\int \frac{\left(x^2-1\right)\,\sqrt{x^4+3\,x^2+1}\,\left(x^2+x+1\right)}{{\left(x^4+x^3+x^2+x+1\right)}^2} \,d x","Not used",1,"int(((x^2 - 1)*(3*x^2 + x^4 + 1)^(1/2)*(x + x^2 + 1))/(x + x^2 + x^3 + x^4 + 1)^2, x)","F"
2455,0,-1,199,0.000000,"\text{Not used}","int(-(b + a*x^4)/((b - a*x^4)*(c*x^4 + b^2 + a^2*x^8)^(1/4)),x)","\int -\frac{a\,x^4+b}{\left(b-a\,x^4\right)\,{\left(a^2\,x^8+b^2+c\,x^4\right)}^{1/4}} \,d x","Not used",1,"int(-(b + a*x^4)/((b - a*x^4)*(c*x^4 + b^2 + a^2*x^8)^(1/4)), x)","F"
2456,1,47,199,2.237779,"\text{Not used}","int((2*x^4 - x^9)/((x^5 - 1)^(1/2)*(a - a*x^5 + x^10)),x)","\frac{\ln\left(\frac{a\,x^5-a+x^{10}+2\,\sqrt{a}\,x^5\,\sqrt{x^5-1}}{x^{10}-a\,x^5+a}\right)}{5\,\sqrt{a}}","Not used",1,"log((a*x^5 - a + x^10 + 2*a^(1/2)*x^5*(x^5 - 1)^(1/2))/(a - a*x^5 + x^10))/(5*a^(1/2))","B"
2457,0,-1,199,0.000000,"\text{Not used}","int((x^2 + 1)/((x^2 - 1)*(x + (x^2 + 1)^(1/2))^(1/2)),x)","\int \frac{x^2+1}{\left(x^2-1\right)\,\sqrt{x+\sqrt{x^2+1}}} \,d x","Not used",1,"int((x^2 + 1)/((x^2 - 1)*(x + (x^2 + 1)^(1/2))^(1/2)), x)","F"
2458,0,-1,199,0.000000,"\text{Not used}","int(-(d + c*x^2)/((a*x + (b^2 + a^2*x^2)^(1/2))^(1/2)*(d - c*x^2)),x)","\int -\frac{c\,x^2+d}{\sqrt{a\,x+\sqrt{a^2\,x^2+b^2}}\,\left(d-c\,x^2\right)} \,d x","Not used",1,"int(-(d + c*x^2)/((a*x + (b^2 + a^2*x^2)^(1/2))^(1/2)*(d - c*x^2)), x)","F"
2459,0,-1,199,0.000000,"\text{Not used}","int(-(d + c*x^2)/((a*x + (b^2 + a^2*x^2)^(1/2))^(1/2)*(d - c*x^2)),x)","\int -\frac{c\,x^2+d}{\sqrt{a\,x+\sqrt{a^2\,x^2+b^2}}\,\left(d-c\,x^2\right)} \,d x","Not used",1,"int(-(d + c*x^2)/((a*x + (b^2 + a^2*x^2)^(1/2))^(1/2)*(d - c*x^2)), x)","F"
2460,0,-1,200,0.000000,"\text{Not used}","int(1/(x^6*(a^3*x^3 + b^2*x^2)^(1/3)*(b + a*x^3)),x)","\int \frac{1}{x^6\,{\left(a^3\,x^3+b^2\,x^2\right)}^{1/3}\,\left(a\,x^3+b\right)} \,d x","Not used",1,"int(1/(x^6*(a^3*x^3 + b^2*x^2)^(1/3)*(b + a*x^3)), x)","F"
2461,0,-1,200,0.000000,"\text{Not used}","int(1/(x^6*(a^3*x^3 + b^2*x^2)^(1/3)*(b + a*x^3)),x)","\int \frac{1}{x^6\,{\left(a^3\,x^3+b^2\,x^2\right)}^{1/3}\,\left(a\,x^3+b\right)} \,d x","Not used",1,"int(1/(x^6*(a^3*x^3 + b^2*x^2)^(1/3)*(b + a*x^3)), x)","F"
2462,0,-1,200,0.000000,"\text{Not used}","int(-((p^2*x^4 + q^2)^(1/2)*(q - p*x^2)*(a*q + b*x + a*p*x^2))/(x^3*(c*q + d*x + c*p*x^2)),x)","\int -\frac{\sqrt{p^2\,x^4+q^2}\,\left(q-p\,x^2\right)\,\left(a\,p\,x^2+b\,x+a\,q\right)}{x^3\,\left(c\,p\,x^2+d\,x+c\,q\right)} \,d x","Not used",1,"int(-((p^2*x^4 + q^2)^(1/2)*(q - p*x^2)*(a*q + b*x + a*p*x^2))/(x^3*(c*q + d*x + c*p*x^2)), x)","F"
2463,0,-1,200,0.000000,"\text{Not used}","int((x*(7*x^4 + 3))/((x^4 + 1)^(1/3)*(x^3 + x^7 - 4)),x)","\int \frac{x\,\left(7\,x^4+3\right)}{{\left(x^4+1\right)}^{1/3}\,\left(x^7+x^3-4\right)} \,d x","Not used",1,"int((x*(7*x^4 + 3))/((x^4 + 1)^(1/3)*(x^3 + x^7 - 4)), x)","F"
2464,0,-1,200,0.000000,"\text{Not used}","int(-(d - c*x^2)/((a*x + (b^2 + a^2*x^2)^(1/2))^(1/2)*(d + c*x^2)),x)","\int -\frac{d-c\,x^2}{\sqrt{a\,x+\sqrt{a^2\,x^2+b^2}}\,\left(c\,x^2+d\right)} \,d x","Not used",1,"int(-(d - c*x^2)/((a*x + (b^2 + a^2*x^2)^(1/2))^(1/2)*(d + c*x^2)), x)","F"
2465,0,-1,200,0.000000,"\text{Not used}","int(-(d - c*x^2)/((a*x + (b^2 + a^2*x^2)^(1/2))^(1/2)*(d + c*x^2)),x)","\int -\frac{d-c\,x^2}{\sqrt{a\,x+\sqrt{a^2\,x^2+b^2}}\,\left(c\,x^2+d\right)} \,d x","Not used",1,"int(-(d - c*x^2)/((a*x + (b^2 + a^2*x^2)^(1/2))^(1/2)*(d + c*x^2)), x)","F"
2466,0,-1,200,0.000000,"\text{Not used}","int((a^2*x^2 - b*x)^(1/2)/(a*x^2 + x*(a^2*x^2 - b*x)^(1/2))^(1/2),x)","\int \frac{\sqrt{a^2\,x^2-b\,x}}{\sqrt{a\,x^2+x\,\sqrt{a^2\,x^2-b\,x}}} \,d x","Not used",1,"int((a^2*x^2 - b*x)^(1/2)/(a*x^2 + x*(a^2*x^2 - b*x)^(1/2))^(1/2), x)","F"
2467,0,-1,201,0.000000,"\text{Not used}","int((a - 2*b + x)/(((a - x)*(b - x))^(1/3)*(b*d - x*(2*a + d) + a^2 + x^2)),x)","\int \frac{a-2\,b+x}{{\left(\left(a-x\right)\,\left(b-x\right)\right)}^{1/3}\,\left(b\,d-x\,\left(2\,a+d\right)+a^2+x^2\right)} \,d x","Not used",1,"int((a - 2*b + x)/(((a - x)*(b - x))^(1/3)*(b*d - x*(2*a + d) + a^2 + x^2)), x)","F"
2468,0,-1,201,0.000000,"\text{Not used}","int(-(2*b*x + a*(a - 2*b) - x^2)/(((a - x)*(b - x))^(2/3)*(b - x*(2*a*d + 1) + a^2*d + d*x^2)),x)","-\int \frac{-x^2+2\,b\,x+a\,\left(a-2\,b\right)}{{\left(\left(a-x\right)\,\left(b-x\right)\right)}^{2/3}\,\left(b-x\,\left(2\,a\,d+1\right)+a^2\,d+d\,x^2\right)} \,d x","Not used",1,"-int((2*b*x + a*(a - 2*b) - x^2)/(((a - x)*(b - x))^(2/3)*(b - x*(2*a*d + 1) + a^2*d + d*x^2)), x)","F"
2469,0,-1,201,0.000000,"\text{Not used}","int(-(x*(k - 2) + 1)/((x*(k*x - 1)*(x - 1))^(1/3)*(x^2*(b + k^2) - x*(b + 2*k) + 1)),x)","\int -\frac{x\,\left(k-2\right)+1}{{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{1/3}\,\left(\left(k^2+b\right)\,x^2+\left(-b-2\,k\right)\,x+1\right)} \,d x","Not used",1,"int(-(x*(k - 2) + 1)/((x*(k*x - 1)*(x - 1))^(1/3)*(x^2*(b + k^2) - x*(b + 2*k) + 1)), x)","F"
2470,0,-1,201,0.000000,"\text{Not used}","int(-(4*k^2*x^3 - 2*x*(k^2 + 1) - 3*k + k^3*x^4 + k*x^2*(k^2 + 1))/(((x^2 - 1)*(k^2*x^2 - 1))^(2/3)*(x^2*(d + k^2) - d + k*x*(d + 2) - d*k*x^3 + 1)),x)","\int -\frac{4\,k^2\,x^3-2\,x\,\left(k^2+1\right)-3\,k+k^3\,x^4+k\,x^2\,\left(k^2+1\right)}{{\left(\left(x^2-1\right)\,\left(k^2\,x^2-1\right)\right)}^{2/3}\,\left(-d\,k\,x^3+\left(k^2+d\right)\,x^2+k\,\left(d+2\right)\,x-d+1\right)} \,d x","Not used",1,"int(-(4*k^2*x^3 - 2*x*(k^2 + 1) - 3*k + k^3*x^4 + k*x^2*(k^2 + 1))/(((x^2 - 1)*(k^2*x^2 - 1))^(2/3)*(x^2*(d + k^2) - d + k*x*(d + 2) - d*k*x^3 + 1)), x)","F"
2471,0,-1,201,0.000000,"\text{Not used}","int((2*x^4 - 1)/((x^4 + 1)^(1/4)*(x^4 + x^8 - 1)),x)","\int \frac{2\,x^4-1}{{\left(x^4+1\right)}^{1/4}\,\left(x^8+x^4-1\right)} \,d x","Not used",1,"int((2*x^4 - 1)/((x^4 + 1)^(1/4)*(x^4 + x^8 - 1)), x)","F"
2472,0,-1,203,0.000000,"\text{Not used}","int(-((2*x - x^2*(k + 1))*(a + x^2*(a*k + 1) - a*x*(k + 1)))/((k*x - 1)*(x - 1)*(x*(k*x - 1)*(x - 1))^(2/3)*(b + x^2*(b*k - 1) - b*x*(k + 1))),x)","-\int \frac{\left(2\,x-x^2\,\left(k+1\right)\right)\,\left(\left(a\,k+1\right)\,x^2-a\,\left(k+1\right)\,x+a\right)}{\left(k\,x-1\right)\,\left(x-1\right)\,{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{2/3}\,\left(\left(b\,k-1\right)\,x^2-b\,\left(k+1\right)\,x+b\right)} \,d x","Not used",1,"-int(((2*x - x^2*(k + 1))*(a + x^2*(a*k + 1) - a*x*(k + 1)))/((k*x - 1)*(x - 1)*(x*(k*x - 1)*(x - 1))^(2/3)*(b + x^2*(b*k - 1) - b*x*(k + 1))), x)","F"
2473,0,-1,203,0.000000,"\text{Not used}","int((2*x*(k^2 + 1) - 3*k - 4*k^2*x^3 + k^3*x^4 + k*x^2*(k^2 + 1))/(((x^2 - 1)*(k^2*x^2 - 1))^(2/3)*(x^2*(d + k^2) - d - k*x*(d + 2) + d*k*x^3 + 1)),x)","\int \frac{2\,x\,\left(k^2+1\right)-3\,k-4\,k^2\,x^3+k^3\,x^4+k\,x^2\,\left(k^2+1\right)}{{\left(\left(x^2-1\right)\,\left(k^2\,x^2-1\right)\right)}^{2/3}\,\left(d\,k\,x^3+\left(k^2+d\right)\,x^2-k\,\left(d+2\right)\,x-d+1\right)} \,d x","Not used",1,"int((2*x*(k^2 + 1) - 3*k - 4*k^2*x^3 + k^3*x^4 + k*x^2*(k^2 + 1))/(((x^2 - 1)*(k^2*x^2 - 1))^(2/3)*(x^2*(d + k^2) - d - k*x*(d + 2) + d*k*x^3 + 1)), x)","F"
2474,0,-1,203,0.000000,"\text{Not used}","int(((x^3 - x)^(1/3)*(b - a*x^6))/(d - c*x^6),x)","\int \frac{{\left(x^3-x\right)}^{1/3}\,\left(b-a\,x^6\right)}{d-c\,x^6} \,d x","Not used",1,"int(((x^3 - x)^(1/3)*(b - a*x^6))/(d - c*x^6), x)","F"
2475,0,-1,203,0.000000,"\text{Not used}","int(((x^3 - x)^(1/3)*(b - a*x^6))/(d - c*x^6),x)","\int \frac{{\left(x^3-x\right)}^{1/3}\,\left(b-a\,x^6\right)}{d-c\,x^6} \,d x","Not used",1,"int(((x^3 - x)^(1/3)*(b - a*x^6))/(d - c*x^6), x)","F"
2476,0,-1,203,0.000000,"\text{Not used}","int(-1/(x*(c + b*x + a*x^2)^(1/2) - 1),x)","\int -\frac{1}{x\,\sqrt{a\,x^2+b\,x+c}-1} \,d x","Not used",1,"int(-1/(x*(c + b*x + a*x^2)^(1/2) - 1), x)","F"
2477,0,-1,204,0.000000,"\text{Not used}","int((b - a*x^2)/((a^3*x^3 + b^2*x^2)^(1/3)*(b - 2*a*x^2)),x)","\int \frac{b-a\,x^2}{{\left(a^3\,x^3+b^2\,x^2\right)}^{1/3}\,\left(b-2\,a\,x^2\right)} \,d x","Not used",1,"int((b - a*x^2)/((a^3*x^3 + b^2*x^2)^(1/3)*(b - 2*a*x^2)), x)","F"
2478,0,-1,204,0.000000,"\text{Not used}","int((b - a*x^2)/((a^3*x^3 + b^2*x^2)^(1/3)*(b - 2*a*x^2)),x)","\int \frac{b-a\,x^2}{{\left(a^3\,x^3+b^2\,x^2\right)}^{1/3}\,\left(b-2\,a\,x^2\right)} \,d x","Not used",1,"int((b - a*x^2)/((a^3*x^3 + b^2*x^2)^(1/3)*(b - 2*a*x^2)), x)","F"
2479,0,-1,204,0.000000,"\text{Not used}","int((b + a*x^2)/((a^3*x^3 + b^2*x^2)^(1/3)*(b + 2*a*x^2)),x)","\int \frac{a\,x^2+b}{{\left(a^3\,x^3+b^2\,x^2\right)}^{1/3}\,\left(2\,a\,x^2+b\right)} \,d x","Not used",1,"int((b + a*x^2)/((a^3*x^3 + b^2*x^2)^(1/3)*(b + 2*a*x^2)), x)","F"
2480,0,-1,204,0.000000,"\text{Not used}","int((b + a*x^2)/((a^3*x^3 + b^2*x^2)^(1/3)*(b + 2*a*x^2)),x)","\int \frac{a\,x^2+b}{{\left(a^3\,x^3+b^2\,x^2\right)}^{1/3}\,\left(2\,a\,x^2+b\right)} \,d x","Not used",1,"int((b + a*x^2)/((a^3*x^3 + b^2*x^2)^(1/3)*(b + 2*a*x^2)), x)","F"
2481,0,-1,204,0.000000,"\text{Not used}","int(-(x*(4*a*b + 2*x^2 - 3*x*(a + b)))/((x^2*(a - x)*(b - x))^(1/3)*(a*b - d*x^4 + x^2 - x*(a + b))),x)","-\int \frac{x\,\left(4\,a\,b+2\,x^2-3\,x\,\left(a+b\right)\right)}{{\left(x^2\,\left(a-x\right)\,\left(b-x\right)\right)}^{1/3}\,\left(-d\,x^4+x^2+\left(-a-b\right)\,x+a\,b\right)} \,d x","Not used",1,"-int((x*(4*a*b + 2*x^2 - 3*x*(a + b)))/((x^2*(a - x)*(b - x))^(1/3)*(a*b - d*x^4 + x^2 - x*(a + b))), x)","F"
2482,0,-1,204,0.000000,"\text{Not used}","int(((b + a*x^4)^(1/4)*(2*b + 3*a*x^4))/(x^6*(b + a*x^8)),x)","\int \frac{{\left(a\,x^4+b\right)}^{1/4}\,\left(3\,a\,x^4+2\,b\right)}{x^6\,\left(a\,x^8+b\right)} \,d x","Not used",1,"int(((b + a*x^4)^(1/4)*(2*b + 3*a*x^4))/(x^6*(b + a*x^8)), x)","F"
2483,0,-1,204,0.000000,"\text{Not used}","int(((b + a*x^4)^(1/4)*(2*b + 3*a*x^4))/(x^6*(b + a*x^8)),x)","\int \frac{{\left(a\,x^4+b\right)}^{1/4}\,\left(3\,a\,x^4+2\,b\right)}{x^6\,\left(a\,x^8+b\right)} \,d x","Not used",1,"int(((b + a*x^4)^(1/4)*(2*b + 3*a*x^4))/(x^6*(b + a*x^8)), x)","F"
2484,0,-1,204,0.000000,"\text{Not used}","int((x + (x + 1)^(1/2))^(1/2)/(x^2 + 1),x)","\int \frac{\sqrt{x+\sqrt{x+1}}}{x^2+1} \,d x","Not used",1,"int((x + (x + 1)^(1/2))^(1/2)/(x^2 + 1), x)","F"
2485,0,-1,204,0.000000,"\text{Not used}","int((x + (x + 1)^(1/2))^(1/2)/(x^2 + 1),x)","\int \frac{\sqrt{x+\sqrt{x+1}}}{x^2+1} \,d x","Not used",1,"int((x + (x + 1)^(1/2))^(1/2)/(x^2 + 1), x)","F"
2486,0,-1,204,0.000000,"\text{Not used}","int(-(x + (x + 1)^(1/2))^(1/2)/((x + 1)^(1/2) - x^2),x)","-\int \frac{\sqrt{x+\sqrt{x+1}}}{\sqrt{x+1}-x^2} \,d x","Not used",1,"-int((x + (x + 1)^(1/2))^(1/2)/((x + 1)^(1/2) - x^2), x)","F"
2487,0,-1,204,0.000000,"\text{Not used}","int(-(x + (x + 1)^(1/2))^(1/2)/((x + 1)^(1/2) - x^2),x)","-\int \frac{\sqrt{x+\sqrt{x+1}}}{\sqrt{x+1}-x^2} \,d x","Not used",1,"-int((x + (x + 1)^(1/2))^(1/2)/((x + 1)^(1/2) - x^2), x)","F"
2488,0,-1,205,0.000000,"\text{Not used}","int(x^2/((-x^2*(a - x))^(2/3)*(2*a*x - a^2 + x^2*(d - 1))),x)","\int \frac{x^2}{{\left(-x^2\,\left(a-x\right)\right)}^{2/3}\,\left(-a^2+2\,a\,x+\left(d-1\right)\,x^2\right)} \,d x","Not used",1,"int(x^2/((-x^2*(a - x))^(2/3)*(2*a*x - a^2 + x^2*(d - 1))), x)","F"
2489,0,-1,205,0.000000,"\text{Not used}","int(-((x*(k + 1) - 2)*(x^2*(a + k) - x*(k + 1) + 1))/(x*(x*(k*x - 1)*(x - 1))^(2/3)*(x*(k + 1) + x^2*(b - k) - 1)),x)","\int -\frac{\left(x\,\left(k+1\right)-2\right)\,\left(\left(a+k\right)\,x^2+\left(-k-1\right)\,x+1\right)}{x\,{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{2/3}\,\left(\left(b-k\right)\,x^2+\left(k+1\right)\,x-1\right)} \,d x","Not used",1,"int(-((x*(k + 1) - 2)*(x^2*(a + k) - x*(k + 1) + 1))/(x*(x*(k*x - 1)*(x - 1))^(2/3)*(x*(k + 1) + x^2*(b - k) - 1)), x)","F"
2490,0,-1,206,0.000000,"\text{Not used}","int(-(4*a*x^3 - x^4 - a*x^2*(3*a + 2*b) + 2*a^2*b*x)/((x^2*(a - x)*(b - x))^(2/3)*(2*a*x + d*x^3 - x^2*(b*d + 1) - a^2)),x)","\int -\frac{4\,a\,x^3-x^4-a\,x^2\,\left(3\,a+2\,b\right)+2\,a^2\,b\,x}{{\left(x^2\,\left(a-x\right)\,\left(b-x\right)\right)}^{2/3}\,\left(-a^2+2\,a\,x+d\,x^3+\left(-b\,d-1\right)\,x^2\right)} \,d x","Not used",1,"int(-(4*a*x^3 - x^4 - a*x^2*(3*a + 2*b) + 2*a^2*b*x)/((x^2*(a - x)*(b - x))^(2/3)*(2*a*x + d*x^3 - x^2*(b*d + 1) - a^2)), x)","F"
2491,0,-1,206,0.000000,"\text{Not used}","int(1/(12*x + 54*x^2 - 135*x^3 + 81*x^4 - 8)^(1/3),x)","\int \frac{1}{{\left(81\,x^4-135\,x^3+54\,x^2+12\,x-8\right)}^{1/3}} \,d x","Not used",1,"int(1/(12*x + 54*x^2 - 135*x^3 + 81*x^4 - 8)^(1/3), x)","F"
2492,0,-1,206,0.000000,"\text{Not used}","int(-(x^2 + 1)/((x^6 - 1)^(1/3)*(x - x^2 + 1)),x)","\int -\frac{x^2+1}{{\left(x^6-1\right)}^{1/3}\,\left(-x^2+x+1\right)} \,d x","Not used",1,"int(-(x^2 + 1)/((x^6 - 1)^(1/3)*(x - x^2 + 1)), x)","F"
2493,0,-1,206,0.000000,"\text{Not used}","int(-(x^2 + 1)/((x^6 - 1)^(1/3)*(x - x^2 + 1)),x)","\int -\frac{x^2+1}{{\left(x^6-1\right)}^{1/3}\,\left(-x^2+x+1\right)} \,d x","Not used",1,"int(-(x^2 + 1)/((x^6 - 1)^(1/3)*(x - x^2 + 1)), x)","F"
2494,0,-1,206,0.000000,"\text{Not used}","int(((3*x^5 - 2*x^4 + 4*x^6 + 2)*(2*x^3 - x - x^5 + x^6 + x^7)^(1/3))/(x^2 - x^4 + x^5 + x^6 - 1)^2,x)","\int \frac{\left(4\,x^6+3\,x^5-2\,x^4+2\right)\,{\left(x^7+x^6-x^5+2\,x^3-x\right)}^{1/3}}{{\left(x^6+x^5-x^4+x^2-1\right)}^2} \,d x","Not used",1,"int(((3*x^5 - 2*x^4 + 4*x^6 + 2)*(2*x^3 - x - x^5 + x^6 + x^7)^(1/3))/(x^2 - x^4 + x^5 + x^6 - 1)^2, x)","F"
2495,0,-1,207,0.000000,"\text{Not used}","int((x*(2*k - 1) - 1)/((b + x^2*(b + k) - x*(2*b + 1))*(x*(k*x - 1)*(x - 1))^(1/3)),x)","\int \frac{x\,\left(2\,k-1\right)-1}{\left(\left(b+k\right)\,x^2+\left(-2\,b-1\right)\,x+b\right)\,{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{1/3}} \,d x","Not used",1,"int((x*(2*k - 1) - 1)/((b + x^2*(b + k) - x*(2*b + 1))*(x*(k*x - 1)*(x - 1))^(1/3)), x)","F"
2496,1,248,207,9.501974,"\text{Not used}","int(-((b^2 + a^2*x^3)^(1/2)*(c*x^3 + 2*b^2 + a^2*x^6))/(x^7*(b^2 - a^2*x^6)),x)","\frac{\sqrt{a^2\,x^3+b^2}}{3\,x^6}+\frac{a^2\,\ln\left(\frac{{\left(b+\sqrt{a^2\,x^3+b^2}\right)}^3\,\left(b-\sqrt{a^2\,x^3+b^2}\right)}{x^6}\right)\,\left(-a^2+12\,b^2+2\,c\right)}{12\,b^3}+\frac{\sqrt{a^2\,x^3+b^2}\,\left(a^2+2\,c\right)}{6\,b^2\,x^3}+\frac{a\,\ln\left(\frac{a\,b+2\,b^2+a^2\,x^3-2\,\sqrt{b}\,\sqrt{a^2\,x^3+b^2}\,\sqrt{a+b}}{b-a\,x^3}\right)\,\sqrt{a+b}\,\left(c+3\,a\,b\right)}{6\,b^{5/2}}+\frac{a\,\ln\left(\frac{2\,b^2-a\,b+a^2\,x^3+2\,\sqrt{b}\,\sqrt{a^2\,x^3+b^2}\,\sqrt{b-a}}{a\,x^3+b}\right)\,\sqrt{b-a}\,\left(c-3\,a\,b\right)}{6\,b^{5/2}}","Not used",1,"(b^2 + a^2*x^3)^(1/2)/(3*x^6) + (a^2*log(((b + (b^2 + a^2*x^3)^(1/2))^3*(b - (b^2 + a^2*x^3)^(1/2)))/x^6)*(2*c - a^2 + 12*b^2))/(12*b^3) + ((b^2 + a^2*x^3)^(1/2)*(2*c + a^2))/(6*b^2*x^3) + (a*log((a*b + 2*b^2 + a^2*x^3 - 2*b^(1/2)*(b^2 + a^2*x^3)^(1/2)*(a + b)^(1/2))/(b - a*x^3))*(a + b)^(1/2)*(c + 3*a*b))/(6*b^(5/2)) + (a*log((2*b^2 - a*b + a^2*x^3 + 2*b^(1/2)*(b^2 + a^2*x^3)^(1/2)*(b - a)^(1/2))/(b + a*x^3))*(b - a)^(1/2)*(c - 3*a*b))/(6*b^(5/2))","B"
2497,0,-1,207,0.000000,"\text{Not used}","int(-(x^7*(4*a - 3*x))/((-x^2*(a - x))^(2/3)*(2*a*x + d*x^8 - a^2 - x^2)),x)","\int -\frac{x^7\,\left(4\,a-3\,x\right)}{{\left(-x^2\,\left(a-x\right)\right)}^{2/3}\,\left(-a^2+2\,a\,x+d\,x^8-x^2\right)} \,d x","Not used",1,"int(-(x^7*(4*a - 3*x))/((-x^2*(a - x))^(2/3)*(2*a*x + d*x^8 - a^2 - x^2)), x)","F"
2498,0,-1,208,0.000000,"\text{Not used}","int(-(x^2*(2*k - k^2) - 2*x + 1)/((b + x^2*(b*k^2 + 1) - x*(2*b*k + 1))*(x*(k*x - 1)*(x - 1))^(2/3)),x)","\int -\frac{\left(2\,k-k^2\right)\,x^2-2\,x+1}{\left(\left(b\,k^2+1\right)\,x^2+\left(-2\,b\,k-1\right)\,x+b\right)\,{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{2/3}} \,d x","Not used",1,"int(-(x^2*(2*k - k^2) - 2*x + 1)/((b + x^2*(b*k^2 + 1) - x*(2*b*k + 1))*(x*(k*x - 1)*(x - 1))^(2/3)), x)","F"
2499,0,-1,208,0.000000,"\text{Not used}","int(1/((x^4 - 1)*(x^3 - x^2)^(1/3)),x)","\int \frac{1}{\left(x^4-1\right)\,{\left(x^3-x^2\right)}^{1/3}} \,d x","Not used",1,"int(1/((x^4 - 1)*(x^3 - x^2)^(1/3)), x)","F"
2500,0,-1,208,0.000000,"\text{Not used}","int(1/((x^4 - 1)*(x^3 - x^2)^(1/3)),x)","\int \frac{1}{\left(x^4-1\right)\,{\left(x^3-x^2\right)}^{1/3}} \,d x","Not used",1,"int(1/((x^4 - 1)*(x^3 - x^2)^(1/3)), x)","F"
2501,0,-1,208,0.000000,"\text{Not used}","int((x^4 - x^2)^(1/3)/(x*(x^2 + 1)),x)","\int \frac{{\left(x^4-x^2\right)}^{1/3}}{x\,\left(x^2+1\right)} \,d x","Not used",1,"int((x^4 - x^2)^(1/3)/(x*(x^2 + 1)), x)","F"
2502,0,-1,208,0.000000,"\text{Not used}","int(-(b + a*x^6)/(x^3*(b*x + a*x^4)^(1/4)*(b - a*x^3)),x)","-\int \frac{a\,x^6+b}{x^3\,{\left(a\,x^4+b\,x\right)}^{1/4}\,\left(b-a\,x^3\right)} \,d x","Not used",1,"-int((b + a*x^6)/(x^3*(b*x + a*x^4)^(1/4)*(b - a*x^3)), x)","F"
2503,0,-1,208,0.000000,"\text{Not used}","int((a*x + (a*x - b)^(1/2))^(1/2)/(x^2*(a*x - b)^(1/2)),x)","\int \frac{\sqrt{a\,x+\sqrt{a\,x-b}}}{x^2\,\sqrt{a\,x-b}} \,d x","Not used",1,"int((a*x + (a*x - b)^(1/2))^(1/2)/(x^2*(a*x - b)^(1/2)), x)","F"
2504,0,-1,209,0.000000,"\text{Not used}","int((x + 3)/((x^2 - 1)^(1/3)*(2*x^2 - x + 5)),x)","\int \frac{x+3}{{\left(x^2-1\right)}^{1/3}\,\left(2\,x^2-x+5\right)} \,d x","Not used",1,"int((x + 3)/((x^2 - 1)^(1/3)*(2*x^2 - x + 5)), x)","F"
2505,0,-1,209,0.000000,"\text{Not used}","int(-((x*(k + 1) - 2)*(x^2*(a + k) - x*(k + 1) + 1))/(x^2*(x*(k*x - 1)*(x - 1))^(1/3)*(x*(k + 1) + x^2*(b - k) - 1)),x)","\int -\frac{\left(x\,\left(k+1\right)-2\right)\,\left(\left(a+k\right)\,x^2+\left(-k-1\right)\,x+1\right)}{x^2\,{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{1/3}\,\left(\left(b-k\right)\,x^2+\left(k+1\right)\,x-1\right)} \,d x","Not used",1,"int(-((x*(k + 1) - 2)*(x^2*(a + k) - x*(k + 1) + 1))/(x^2*(x*(k*x - 1)*(x - 1))^(1/3)*(x*(k + 1) + x^2*(b - k) - 1)), x)","F"
2506,0,-1,209,0.000000,"\text{Not used}","int(((x^3 - 2)*(x + x^3 + x^4)^(1/3))/((x^3 + 1)*(x^3 - x^2 + 1)),x)","\int \frac{\left(x^3-2\right)\,{\left(x^4+x^3+x\right)}^{1/3}}{\left(x^3+1\right)\,\left(x^3-x^2+1\right)} \,d x","Not used",1,"int(((x^3 - 2)*(x + x^3 + x^4)^(1/3))/((x^3 + 1)*(x^3 - x^2 + 1)), x)","F"
2507,0,-1,209,0.000000,"\text{Not used}","int((a*x^4 + b*x^3)^(1/4)/(a*x - 2*b + 2*x^2),x)","\int \frac{{\left(a\,x^4+b\,x^3\right)}^{1/4}}{2\,x^2+a\,x-2\,b} \,d x","Not used",1,"int((a*x^4 + b*x^3)^(1/4)/(a*x - 2*b + 2*x^2), x)","F"
2508,0,-1,209,0.000000,"\text{Not used}","int((a*x^4 + b*x^3)^(1/4)/(a*x - 2*b + 2*x^2),x)","\int \frac{{\left(a\,x^4+b\,x^3\right)}^{1/4}}{2\,x^2+a\,x-2\,b} \,d x","Not used",1,"int((a*x^4 + b*x^3)^(1/4)/(a*x - 2*b + 2*x^2), x)","F"
2509,0,-1,209,0.000000,"\text{Not used}","int(((x^3 + 1)^(2/3)*(2*x^6 - 1))/(x^6*(2*x^3 - 1)),x)","\int \frac{{\left(x^3+1\right)}^{2/3}\,\left(2\,x^6-1\right)}{x^6\,\left(2\,x^3-1\right)} \,d x","Not used",1,"int(((x^3 + 1)^(2/3)*(2*x^6 - 1))/(x^6*(2*x^3 - 1)), x)","F"
2510,0,-1,209,0.000000,"\text{Not used}","int(-(b - a*x^4)/((b + a*x^4)*(c*x^4 + b^2 + a^2*x^8)^(1/4)),x)","\int -\frac{b-a\,x^4}{\left(a\,x^4+b\right)\,{\left(a^2\,x^8+b^2+c\,x^4\right)}^{1/4}} \,d x","Not used",1,"int(-(b - a*x^4)/((b + a*x^4)*(c*x^4 + b^2 + a^2*x^8)^(1/4)), x)","F"
2511,0,-1,209,0.000000,"\text{Not used}","int((x + (x + 1)^(1/2))^(1/2)/((x^2 + 1)*(x + 1)^(1/2)),x)","\int \frac{\sqrt{x+\sqrt{x+1}}}{\left(x^2+1\right)\,\sqrt{x+1}} \,d x","Not used",1,"int((x + (x + 1)^(1/2))^(1/2)/((x^2 + 1)*(x + 1)^(1/2)), x)","F"
2512,0,-1,209,0.000000,"\text{Not used}","int((x + (x + 1)^(1/2))^(1/2)/((x^2 + 1)*(x + 1)^(1/2)),x)","\int \frac{\sqrt{x+\sqrt{x+1}}}{\left(x^2+1\right)\,\sqrt{x+1}} \,d x","Not used",1,"int((x + (x + 1)^(1/2))^(1/2)/((x^2 + 1)*(x + 1)^(1/2)), x)","F"
2513,0,-1,210,0.000000,"\text{Not used}","int(((x + 2)^2*(66*x - 30*x^2 + 9*x^3 - 19)^(1/3))/((2*x - 3)^2*(6*x - 6*x^2 + x^3 - 5)),x)","\int \frac{{\left(x+2\right)}^2\,{\left(9\,x^3-30\,x^2+66\,x-19\right)}^{1/3}}{{\left(2\,x-3\right)}^2\,\left(x^3-6\,x^2+6\,x-5\right)} \,d x","Not used",1,"int(((x + 2)^2*(66*x - 30*x^2 + 9*x^3 - 19)^(1/3))/((2*x - 3)^2*(6*x - 6*x^2 + x^3 - 5)), x)","F"
2514,0,-1,210,0.000000,"\text{Not used}","int((x^3 + 1)/((x^2 + x^4)^(1/3)*(x^3 - 1)),x)","\int \frac{x^3+1}{{\left(x^4+x^2\right)}^{1/3}\,\left(x^3-1\right)} \,d x","Not used",1,"int((x^3 + 1)/((x^2 + x^4)^(1/3)*(x^3 - 1)), x)","F"
2515,0,-1,210,0.000000,"\text{Not used}","int(-(x*(4*a*b + 2*x^2 - 3*x*(a + b)))/((x^2*(a - x)*(b - x))^(1/3)*(d*x^2 - x^4 - d*x*(a + b) + a*b*d)),x)","-\int \frac{x\,\left(4\,a\,b+2\,x^2-3\,x\,\left(a+b\right)\right)}{{\left(x^2\,\left(a-x\right)\,\left(b-x\right)\right)}^{1/3}\,\left(-x^4+d\,x^2-d\,\left(a+b\right)\,x+a\,b\,d\right)} \,d x","Not used",1,"-int((x*(4*a*b + 2*x^2 - 3*x*(a + b)))/((x^2*(a - x)*(b - x))^(1/3)*(d*x^2 - x^4 - d*x*(a + b) + a*b*d)), x)","F"
2516,0,-1,210,0.000000,"\text{Not used}","int(-(b + a*x^4)^(1/2)/(b - a*x^4),x)","-\int \frac{\sqrt{a\,x^4+b}}{b-a\,x^4} \,d x","Not used",1,"-int((b + a*x^4)^(1/2)/(b - a*x^4), x)","F"
2517,0,-1,210,0.000000,"\text{Not used}","int((x^2 + 1)/((x^6 - 1)^(1/3)*(x + x^2 - 1)),x)","\int \frac{x^2+1}{{\left(x^6-1\right)}^{1/3}\,\left(x^2+x-1\right)} \,d x","Not used",1,"int((x^2 + 1)/((x^6 - 1)^(1/3)*(x + x^2 - 1)), x)","F"
2518,0,-1,210,0.000000,"\text{Not used}","int((x^2 + 1)/((x^6 - 1)^(1/3)*(x + x^2 - 1)),x)","\int \frac{x^2+1}{{\left(x^6-1\right)}^{1/3}\,\left(x^2+x-1\right)} \,d x","Not used",1,"int((x^2 + 1)/((x^6 - 1)^(1/3)*(x + x^2 - 1)), x)","F"
2519,0,-1,210,0.000000,"\text{Not used}","int((x^3*(x^3 - x^2)^(1/3))/(x^6 + 1),x)","\int \frac{x^3\,{\left(x^3-x^2\right)}^{1/3}}{x^6+1} \,d x","Not used",1,"int((x^3*(x^3 - x^2)^(1/3))/(x^6 + 1), x)","F"
2520,0,-1,210,0.000000,"\text{Not used}","int(-(b + 2*a*x^8 - 2*c*x^4)/((a*x^4 - b)^(1/4)*(2*b - 2*a*x^8 + c*x^4)),x)","\int -\frac{2\,a\,x^8-2\,c\,x^4+b}{{\left(a\,x^4-b\right)}^{1/4}\,\left(-2\,a\,x^8+c\,x^4+2\,b\right)} \,d x","Not used",1,"int(-(b + 2*a*x^8 - 2*c*x^4)/((a*x^4 - b)^(1/4)*(2*b - 2*a*x^8 + c*x^4)), x)","F"
2521,0,-1,210,0.000000,"\text{Not used}","int(-(b + 2*a*x^8 - 2*c*x^4)/((a*x^4 - b)^(1/4)*(2*b - 2*a*x^8 + c*x^4)),x)","\int -\frac{2\,a\,x^8-2\,c\,x^4+b}{{\left(a\,x^4-b\right)}^{1/4}\,\left(-2\,a\,x^8+c\,x^4+2\,b\right)} \,d x","Not used",1,"int(-(b + 2*a*x^8 - 2*c*x^4)/((a*x^4 - b)^(1/4)*(2*b - 2*a*x^8 + c*x^4)), x)","F"
2522,0,-1,211,0.000000,"\text{Not used}","int(1/(x^3*(x^3 + 1)*(x^3 - x^2)^(1/3)),x)","\int \frac{1}{x^3\,\left(x^3+1\right)\,{\left(x^3-x^2\right)}^{1/3}} \,d x","Not used",1,"int(1/(x^3*(x^3 + 1)*(x^3 - x^2)^(1/3)), x)","F"
2523,0,-1,211,0.000000,"\text{Not used}","int(((x^3 + x^4)^(1/4)*(x^2 - 1))/(x^2 + x^4 + 1),x)","\int \frac{{\left(x^4+x^3\right)}^{1/4}\,\left(x^2-1\right)}{x^4+x^2+1} \,d x","Not used",1,"int(((x^3 + x^4)^(1/4)*(x^2 - 1))/(x^2 + x^4 + 1), x)","F"
2524,0,-1,211,0.000000,"\text{Not used}","int(((x^3 + x^4)^(1/4)*(x^2 - 1))/(x^2 + x^4 + 1),x)","\int \frac{{\left(x^4+x^3\right)}^{1/4}\,\left(x^2-1\right)}{x^4+x^2+1} \,d x","Not used",1,"int(((x^3 + x^4)^(1/4)*(x^2 - 1))/(x^2 + x^4 + 1), x)","F"
2525,0,-1,211,0.000000,"\text{Not used}","int(-((b - a*x^2)*(a*x^4 - b*x^2)^(1/4))/(b - a*x^2 + x^4),x)","\int -\frac{\left(b-a\,x^2\right)\,{\left(a\,x^4-b\,x^2\right)}^{1/4}}{x^4-a\,x^2+b} \,d x","Not used",1,"int(-((b - a*x^2)*(a*x^4 - b*x^2)^(1/4))/(b - a*x^2 + x^4), x)","F"
2526,0,-1,211,0.000000,"\text{Not used}","int(-((b - a*x^2)*(a*x^4 - b*x^2)^(1/4))/(b - a*x^2 + x^4),x)","\int -\frac{\left(b-a\,x^2\right)\,{\left(a\,x^4-b\,x^2\right)}^{1/4}}{x^4-a\,x^2+b} \,d x","Not used",1,"int(-((b - a*x^2)*(a*x^4 - b*x^2)^(1/4))/(b - a*x^2 + x^4), x)","F"
2527,0,-1,211,0.000000,"\text{Not used}","int((a*x^2 - b^2)^2/((a*x^2 + b^2)^2*(b + (a*x^2 + b^2)^(1/2))^(1/2)),x)","\int \frac{{\left(a\,x^2-b^2\right)}^2}{{\left(b^2+a\,x^2\right)}^2\,\sqrt{b+\sqrt{b^2+a\,x^2}}} \,d x","Not used",1,"int((a*x^2 - b^2)^2/((a*x^2 + b^2)^2*(b + (a*x^2 + b^2)^(1/2))^(1/2)), x)","F"
2528,0,-1,212,0.000000,"\text{Not used}","int(((x*(k + 1) - 2)*(a + x^2*(a*k + 1) - a*x*(k + 1)))/((k*x - 1)*(x - 1)*(x*(k*x - 1)*(x - 1))^(1/3)*(b + x^2*(b*k - 1) - b*x*(k + 1))),x)","\int \frac{\left(x\,\left(k+1\right)-2\right)\,\left(\left(a\,k+1\right)\,x^2-a\,\left(k+1\right)\,x+a\right)}{\left(k\,x-1\right)\,\left(x-1\right)\,{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{1/3}\,\left(\left(b\,k-1\right)\,x^2-b\,\left(k+1\right)\,x+b\right)} \,d x","Not used",1,"int(((x*(k + 1) - 2)*(a + x^2*(a*k + 1) - a*x*(k + 1)))/((k*x - 1)*(x - 1)*(x*(k*x - 1)*(x - 1))^(1/3)*(b + x^2*(b*k - 1) - b*x*(k + 1))), x)","F"
2529,0,-1,212,0.000000,"\text{Not used}","int((b + x^3)^3/(a + x^3)^(1/3),x)","\int \frac{{\left(x^3+b\right)}^3}{{\left(x^3+a\right)}^{1/3}} \,d x","Not used",1,"int((b + x^3)^3/(a + x^3)^(1/3), x)","F"
2530,0,-1,212,0.000000,"\text{Not used}","int(-(x^3 - x^2 + 1)/((x^2 + x^3)^(1/3)*(x^2 - x^3 + 1)),x)","\int -\frac{x^3-x^2+1}{{\left(x^3+x^2\right)}^{1/3}\,\left(-x^3+x^2+1\right)} \,d x","Not used",1,"int(-(x^3 - x^2 + 1)/((x^2 + x^3)^(1/3)*(x^2 - x^3 + 1)), x)","F"
2531,0,-1,212,0.000000,"\text{Not used}","int(-(x^3 - x^2 + 1)/((x^2 + x^3)^(1/3)*(x^2 - x^3 + 1)),x)","\int -\frac{x^3-x^2+1}{{\left(x^3+x^2\right)}^{1/3}\,\left(-x^3+x^2+1\right)} \,d x","Not used",1,"int(-(x^3 - x^2 + 1)/((x^2 + x^3)^(1/3)*(x^2 - x^3 + 1)), x)","F"
2532,0,-1,212,0.000000,"\text{Not used}","int(-(3*k^2*x^2 + k^2*x^3 - x*(2*k^2 - 1) - 3)/(((x^2 - 1)*(k^2*x^2 - 1))^(1/3)*(x^2*(d*k^2 + 1) - d + x*(d + 2) - d*k^2*x^3 + 1)),x)","\int -\frac{3\,k^2\,x^2+k^2\,x^3-x\,\left(2\,k^2-1\right)-3}{{\left(\left(x^2-1\right)\,\left(k^2\,x^2-1\right)\right)}^{1/3}\,\left(x^2\,\left(d\,k^2+1\right)-d+x\,\left(d+2\right)-d\,k^2\,x^3+1\right)} \,d x","Not used",1,"int(-(3*k^2*x^2 + k^2*x^3 - x*(2*k^2 - 1) - 3)/(((x^2 - 1)*(k^2*x^2 - 1))^(1/3)*(x^2*(d*k^2 + 1) - d + x*(d + 2) - d*k^2*x^3 + 1)), x)","F"
2533,0,-1,212,0.000000,"\text{Not used}","int(-x^2/((b + a*x^4)^(1/2)*(b - a*x^4)),x)","-\int \frac{x^2}{\sqrt{a\,x^4+b}\,\left(b-a\,x^4\right)} \,d x","Not used",1,"-int(x^2/((b + a*x^4)^(1/2)*(b - a*x^4)), x)","F"
2534,0,-1,212,0.000000,"\text{Not used}","int(((x*(k + 1) - 2)*(k*x - 1)*(x - 1))/((x*(k*x - 1)*(x - 1))^(1/3)*(b + x^4*(b*k^2 - 1) + x^2*(b + 4*b*k + b*k^2) - 2*x*(b + b*k) - 2*b*k*x^3*(k + 1))),x)","\int \frac{\left(x\,\left(k+1\right)-2\right)\,\left(k\,x-1\right)\,\left(x-1\right)}{{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{1/3}\,\left(b+x^4\,\left(b\,k^2-1\right)+x^2\,\left(b\,k^2+4\,b\,k+b\right)-2\,x\,\left(b+b\,k\right)-2\,b\,k\,x^3\,\left(k+1\right)\right)} \,d x","Not used",1,"int(((x*(k + 1) - 2)*(k*x - 1)*(x - 1))/((x*(k*x - 1)*(x - 1))^(1/3)*(b + x^4*(b*k^2 - 1) + x^2*(b + 4*b*k + b*k^2) - 2*x*(b + b*k) - 2*b*k*x^3*(k + 1))), x)","F"
2535,0,-1,212,0.000000,"\text{Not used}","int(-((c + (b + a*x)^(1/2))^(1/2)*(g - f*x^2))/(e + d*x^2),x)","\int -\frac{\sqrt{c+\sqrt{b+a\,x}}\,\left(g-f\,x^2\right)}{d\,x^2+e} \,d x","Not used",1,"int(-((c + (b + a*x)^(1/2))^(1/2)*(g - f*x^2))/(e + d*x^2), x)","F"
2536,0,-1,212,0.000000,"\text{Not used}","int((b^2 + a^2*x^2)^(1/2)/(d + (a*x + (b^2 + a^2*x^2)^(1/2))^(1/2) + c*x^2),x)","\int \frac{\sqrt{a^2\,x^2+b^2}}{d+\sqrt{a\,x+\sqrt{a^2\,x^2+b^2}}+c\,x^2} \,d x","Not used",1,"int((b^2 + a^2*x^2)^(1/2)/(d + (a*x + (b^2 + a^2*x^2)^(1/2))^(1/2) + c*x^2), x)","F"
2537,0,-1,212,0.000000,"\text{Not used}","int((b^2 + a^2*x^2)^(1/2)/(d + (a*x + (b^2 + a^2*x^2)^(1/2))^(1/2) + c*x^2),x)","\int \frac{\sqrt{a^2\,x^2+b^2}}{d+\sqrt{a\,x+\sqrt{a^2\,x^2+b^2}}+c\,x^2} \,d x","Not used",1,"int((b^2 + a^2*x^2)^(1/2)/(d + (a*x + (b^2 + a^2*x^2)^(1/2))^(1/2) + c*x^2), x)","F"
2538,0,-1,213,0.000000,"\text{Not used}","int((1 - (1 - (1 - 1/x)^(1/2))^(1/2))^(1/2)/x^2,x)","\int \frac{\sqrt{1-\sqrt{1-\sqrt{1-\frac{1}{x}}}}}{x^2} \,d x","Not used",1,"int((1 - (1 - (1 - 1/x)^(1/2))^(1/2))^(1/2)/x^2, x)","F"
2539,0,-1,213,0.000000,"\text{Not used}","int((x^2 + x^4)^(1/3)/(x*(x^2 - 1)),x)","-\int \frac{{\left(x^4+x^2\right)}^{1/3}}{x-x^3} \,d x","Not used",1,"-int((x^2 + x^4)^(1/3)/(x - x^3), x)","F"
2540,0,-1,213,0.000000,"\text{Not used}","int(1/((a*x - (b + a^2*x^2)^(1/2))^(1/2)*(b + a^2*x^2)^(1/2)*(c + d*x)),x)","\int \frac{1}{\sqrt{a\,x-\sqrt{a^2\,x^2+b}}\,\sqrt{a^2\,x^2+b}\,\left(c+d\,x\right)} \,d x","Not used",1,"int(1/((a*x - (b + a^2*x^2)^(1/2))^(1/2)*(b + a^2*x^2)^(1/2)*(c + d*x)), x)","F"
2541,0,-1,213,0.000000,"\text{Not used}","int((((x + 1)^(1/2) + 1)^(1/2)*(x + 1)^(1/2))/(x^2*(((x + 1)^(1/2) + 1)^(1/2) + 1)^(1/2)),x)","\int \frac{\sqrt{\sqrt{x+1}+1}\,\sqrt{x+1}}{x^2\,\sqrt{\sqrt{\sqrt{x+1}+1}+1}} \,d x","Not used",1,"int((((x + 1)^(1/2) + 1)^(1/2)*(x + 1)^(1/2))/(x^2*(((x + 1)^(1/2) + 1)^(1/2) + 1)^(1/2)), x)","F"
2542,0,-1,214,0.000000,"\text{Not used}","int(-(x*(k - 2) + 1)/((b + x^2*(b*k^2 + 1) - x*(2*b*k + 1))*(x*(k*x - 1)*(x - 1))^(1/3)),x)","\int -\frac{x\,\left(k-2\right)+1}{\left(\left(b\,k^2+1\right)\,x^2+\left(-2\,b\,k-1\right)\,x+b\right)\,{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{1/3}} \,d x","Not used",1,"int(-(x*(k - 2) + 1)/((b + x^2*(b*k^2 + 1) - x*(2*b*k + 1))*(x*(k*x - 1)*(x - 1))^(1/3)), x)","F"
2543,0,-1,214,0.000000,"\text{Not used}","int(1/(x^6*(x^2 + x^3)^(1/3)*(x^3 - 1)),x)","-\int \frac{1}{{\left(x^3+x^2\right)}^{1/3}\,\left(x^6-x^9\right)} \,d x","Not used",1,"-int(1/((x^2 + x^3)^(1/3)*(x^6 - x^9)), x)","F"
2544,0,-1,214,0.000000,"\text{Not used}","int(1/(x^6*(x^2 + x^3)^(1/3)*(x^3 - 1)),x)","-\int \frac{1}{{\left(x^3+x^2\right)}^{1/3}\,\left(x^6-x^9\right)} \,d x","Not used",1,"-int(1/((x^2 + x^3)^(1/3)*(x^6 - x^9)), x)","F"
2545,0,-1,214,0.000000,"\text{Not used}","int(-(3*k^2*x^2 - k^2*x^3 + x*(2*k^2 - 1) - 3)/(((x^2 - 1)*(k^2*x^2 - 1))^(1/3)*(x^2*(d*k^2 + 1) - d - x*(d + 2) + d*k^2*x^3 + 1)),x)","-\int \frac{3\,k^2\,x^2-k^2\,x^3+x\,\left(2\,k^2-1\right)-3}{{\left(\left(x^2-1\right)\,\left(k^2\,x^2-1\right)\right)}^{1/3}\,\left(x^2\,\left(d\,k^2+1\right)-d-x\,\left(d+2\right)+d\,k^2\,x^3+1\right)} \,d x","Not used",1,"-int((3*k^2*x^2 - k^2*x^3 + x*(2*k^2 - 1) - 3)/(((x^2 - 1)*(k^2*x^2 - 1))^(1/3)*(x^2*(d*k^2 + 1) - d - x*(d + 2) + d*k^2*x^3 + 1)), x)","F"
2546,0,-1,214,0.000000,"\text{Not used}","int(((x^3 + 1)^(2/3)*(x^6 - 4*x^3 + 8))/(x^6*(x^3 + 2)),x)","\int \frac{{\left(x^3+1\right)}^{2/3}\,\left(x^6-4\,x^3+8\right)}{x^6\,\left(x^3+2\right)} \,d x","Not used",1,"int(((x^3 + 1)^(2/3)*(x^6 - 4*x^3 + 8))/(x^6*(x^3 + 2)), x)","F"
2547,0,-1,214,0.000000,"\text{Not used}","int(((x^3 - 1)^(2/3)*(2*x^3 + x^6 + 8))/(x^6*(x^3 - 2)),x)","\int \frac{{\left(x^3-1\right)}^{2/3}\,\left(x^6+2\,x^3+8\right)}{x^6\,\left(x^3-2\right)} \,d x","Not used",1,"int(((x^3 - 1)^(2/3)*(2*x^3 + x^6 + 8))/(x^6*(x^3 - 2)), x)","F"
2548,0,-1,214,0.000000,"\text{Not used}","int(-((2*q - p*x^3)*(a*(q + p*x^3)^2 + c*x^4 + b*x^2*(q + p*x^3))*(p^2*x^6 + q^2 + 2*p*q*x^3 - 2*p*q*x^4)^(1/2))/x^9,x)","\int -\frac{\left(2\,q-p\,x^3\right)\,\left(a\,{\left(p\,x^3+q\right)}^2+c\,x^4+b\,x^2\,\left(p\,x^3+q\right)\right)\,\sqrt{p^2\,x^6-2\,p\,q\,x^4+2\,p\,q\,x^3+q^2}}{x^9} \,d x","Not used",1,"int(-((2*q - p*x^3)*(a*(q + p*x^3)^2 + c*x^4 + b*x^2*(q + p*x^3))*(p^2*x^6 + q^2 + 2*p*q*x^3 - 2*p*q*x^4)^(1/2))/x^9, x)","F"
2549,0,-1,215,0.000000,"\text{Not used}","int(-(b - a*x^2)/(a^3*x^3 + b^2*x^2)^(1/3),x)","\int -\frac{b-a\,x^2}{{\left(a^3\,x^3+b^2\,x^2\right)}^{1/3}} \,d x","Not used",1,"int(-(b - a*x^2)/(a^3*x^3 + b^2*x^2)^(1/3), x)","F"
2550,0,-1,215,0.000000,"\text{Not used}","int((b + a*x^2)/(a^3*x^3 + b^2*x^2)^(1/3),x)","\int \frac{a\,x^2+b}{{\left(a^3\,x^3+b^2\,x^2\right)}^{1/3}} \,d x","Not used",1,"int((b + a*x^2)/(a^3*x^3 + b^2*x^2)^(1/3), x)","F"
2551,0,-1,215,0.000000,"\text{Not used}","int(-(x^2*(2*a + 3*b) + a^2*b - 2*x^3 - 4*a*b*x)/((-x*(a - x)^2*(b - x)^3)^(1/4)*(b + d*x^3 + x*(a^2*d - 1) - 2*a*d*x^2)),x)","\int -\frac{x^2\,\left(2\,a+3\,b\right)+a^2\,b-2\,x^3-4\,a\,b\,x}{{\left(-x\,{\left(a-x\right)}^2\,{\left(b-x\right)}^3\right)}^{1/4}\,\left(d\,x^3-2\,a\,d\,x^2+\left(a^2\,d-1\right)\,x+b\right)} \,d x","Not used",1,"int(-(x^2*(2*a + 3*b) + a^2*b - 2*x^3 - 4*a*b*x)/((-x*(a - x)^2*(b - x)^3)^(1/4)*(b + d*x^3 + x*(a^2*d - 1) - 2*a*d*x^2)), x)","F"
2552,0,-1,215,0.000000,"\text{Not used}","int(-((b + a*x^2)*(a*x^4 + b*x^3)^(1/4))/(x^2*(b - a*x^2)),x)","-\int \frac{\left(a\,x^2+b\right)\,{\left(a\,x^4+b\,x^3\right)}^{1/4}}{x^2\,\left(b-a\,x^2\right)} \,d x","Not used",1,"-int(((b + a*x^2)*(a*x^4 + b*x^3)^(1/4))/(x^2*(b - a*x^2)), x)","F"
2553,0,-1,215,0.000000,"\text{Not used}","int((a*b^3 - x^3*(4*a + 3*b) + 2*x^4 - b^2*x*(6*a - b) + 9*a*b*x^2)/((-x*(a - x)^2*(b - x)^3)^(1/4)*(x^2*(3*b^2*d - 1) + x*(2*a - b^3*d) + d*x^4 - a^2 - 3*b*d*x^3)),x)","\int \frac{a\,b^3-x^3\,\left(4\,a+3\,b\right)+2\,x^4-b^2\,x\,\left(6\,a-b\right)+9\,a\,b\,x^2}{{\left(-x\,{\left(a-x\right)}^2\,{\left(b-x\right)}^3\right)}^{1/4}\,\left(x^2\,\left(3\,b^2\,d-1\right)+x\,\left(2\,a-b^3\,d\right)+d\,x^4-a^2-3\,b\,d\,x^3\right)} \,d x","Not used",1,"int((a*b^3 - x^3*(4*a + 3*b) + 2*x^4 - b^2*x*(6*a - b) + 9*a*b*x^2)/((-x*(a - x)^2*(b - x)^3)^(1/4)*(x^2*(3*b^2*d - 1) + x*(2*a - b^3*d) + d*x^4 - a^2 - 3*b*d*x^3)), x)","F"
2554,0,-1,215,0.000000,"\text{Not used}","int(((a*x^4 - b)^(1/4)*(b + a*x^8 + c*x^4))/(x^6*(b + 2*a*x^8)),x)","\int \frac{{\left(a\,x^4-b\right)}^{1/4}\,\left(a\,x^8+c\,x^4+b\right)}{x^6\,\left(2\,a\,x^8+b\right)} \,d x","Not used",1,"int(((a*x^4 - b)^(1/4)*(b + a*x^8 + c*x^4))/(x^6*(b + 2*a*x^8)), x)","F"
2555,0,-1,215,0.000000,"\text{Not used}","int(((a*x^4 - b)^(1/4)*(b + a*x^8 + c*x^4))/(x^6*(b + 2*a*x^8)),x)","\int \frac{{\left(a\,x^4-b\right)}^{1/4}\,\left(a\,x^8+c\,x^4+b\right)}{x^6\,\left(2\,a\,x^8+b\right)} \,d x","Not used",1,"int(((a*x^4 - b)^(1/4)*(b + a*x^8 + c*x^4))/(x^6*(b + 2*a*x^8)), x)","F"
2556,0,-1,215,0.000000,"\text{Not used}","int(1/((a*x + (b^2 + a^2*x^2)^(1/2))^(1/2)*(d + c*x)),x)","\int \frac{1}{\sqrt{a\,x+\sqrt{a^2\,x^2+b^2}}\,\left(d+c\,x\right)} \,d x","Not used",1,"int(1/((a*x + (b^2 + a^2*x^2)^(1/2))^(1/2)*(d + c*x)), x)","F"
2557,0,-1,215,0.000000,"\text{Not used}","int(-((q - 2*p*x^3)*(a*(q + p*x^3)^2 + c*x^2 + b*p*x^4 + b*q*x)*(p^2*x^6 + q^2 - 2*p*q*x^2 + 2*p*q*x^3)^(1/2))/x^5,x)","-\int \frac{\left(q-2\,p\,x^3\right)\,\left(a\,{\left(p\,x^3+q\right)}^2+c\,x^2+b\,p\,x^4+b\,q\,x\right)\,\sqrt{p^2\,x^6+2\,p\,q\,x^3-2\,p\,q\,x^2+q^2}}{x^5} \,d x","Not used",1,"-int(((q - 2*p*x^3)*(a*(q + p*x^3)^2 + c*x^2 + b*p*x^4 + b*q*x)*(p^2*x^6 + q^2 - 2*p*q*x^2 + 2*p*q*x^3)^(1/2))/x^5, x)","F"
2558,0,-1,216,0.000000,"\text{Not used}","int(-(2*b*x + a*(a - 2*b) - x^2)/(((a - x)*(b - x))^(2/3)*(b*d - x*(2*a + d) + a^2 + x^2)),x)","-\int \frac{-x^2+2\,b\,x+a\,\left(a-2\,b\right)}{{\left(\left(a-x\right)\,\left(b-x\right)\right)}^{2/3}\,\left(b\,d-x\,\left(2\,a+d\right)+a^2+x^2\right)} \,d x","Not used",1,"-int((2*b*x + a*(a - 2*b) - x^2)/(((a - x)*(b - x))^(2/3)*(b*d - x*(2*a + d) + a^2 + x^2)), x)","F"
2559,0,-1,216,0.000000,"\text{Not used}","int((a - 2*b + x)/(((a - x)*(b - x))^(1/3)*(b - x*(2*a*d + 1) + a^2*d + d*x^2)),x)","\int \frac{a-2\,b+x}{{\left(\left(a-x\right)\,\left(b-x\right)\right)}^{1/3}\,\left(b-x\,\left(2\,a\,d+1\right)+a^2\,d+d\,x^2\right)} \,d x","Not used",1,"int((a - 2*b + x)/(((a - x)*(b - x))^(1/3)*(b - x*(2*a*d + 1) + a^2*d + d*x^2)), x)","F"
2560,0,-1,216,0.000000,"\text{Not used}","int((a - 2*b + x)/(((a - x)*(b - x))^(1/3)*(b - x*(2*a*d + 1) + a^2*d + d*x^2)),x)","\int \frac{a-2\,b+x}{{\left(\left(a-x\right)\,\left(b-x\right)\right)}^{1/3}\,\left(b-x\,\left(2\,a\,d+1\right)+a^2\,d+d\,x^2\right)} \,d x","Not used",1,"int((a - 2*b + x)/(((a - x)*(b - x))^(1/3)*(b - x*(2*a*d + 1) + a^2*d + d*x^2)), x)","F"
2561,0,-1,217,0.000000,"\text{Not used}","int(-(x^2*(2*k - 1) - 2*k*x + 1)/((b + x^2*(b + k) - x*(2*b + 1))*(x*(k*x - 1)*(x - 1))^(2/3)),x)","\int -\frac{\left(2\,k-1\right)\,x^2-2\,k\,x+1}{\left(\left(b+k\right)\,x^2+\left(-2\,b-1\right)\,x+b\right)\,{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{2/3}} \,d x","Not used",1,"int(-(x^2*(2*k - 1) - 2*k*x + 1)/((b + x^2*(b + k) - x*(2*b + 1))*(x*(k*x - 1)*(x - 1))^(2/3)), x)","F"
2562,0,-1,217,0.000000,"\text{Not used}","int((x - 1)/((x^3 - x^2)^(1/3)*(x + 1)),x)","\int \frac{x-1}{{\left(x^3-x^2\right)}^{1/3}\,\left(x+1\right)} \,d x","Not used",1,"int((x - 1)/((x^3 - x^2)^(1/3)*(x + 1)), x)","F"
2563,0,-1,217,0.000000,"\text{Not used}","int(((3*x^6 - 2*x + 3)*(x + x^3 + x^6 - 1)^(2/3))/((x + x^6 - 1)*(x - x^3 + x^6 - 1)),x)","\int \frac{\left(3\,x^6-2\,x+3\right)\,{\left(x^6+x^3+x-1\right)}^{2/3}}{\left(x^6+x-1\right)\,\left(x^6-x^3+x-1\right)} \,d x","Not used",1,"int(((3*x^6 - 2*x + 3)*(x + x^3 + x^6 - 1)^(2/3))/((x + x^6 - 1)*(x - x^3 + x^6 - 1)), x)","F"
2564,0,-1,217,0.000000,"\text{Not used}","int((2*x^4 - 2*x^8 + 1)/((x^4 - 1)^(1/4)*(x^4 - x^8 + 1)),x)","\int \frac{-2\,x^8+2\,x^4+1}{{\left(x^4-1\right)}^{1/4}\,\left(-x^8+x^4+1\right)} \,d x","Not used",1,"int((2*x^4 - 2*x^8 + 1)/((x^4 - 1)^(1/4)*(x^4 - x^8 + 1)), x)","F"
2565,0,-1,217,0.000000,"\text{Not used}","int((2*x^4 + 2*x^8 - 1)/((x^4 + 1)^(1/4)*(x^4 + x^8 - 1)),x)","\int \frac{2\,x^8+2\,x^4-1}{{\left(x^4+1\right)}^{1/4}\,\left(x^8+x^4-1\right)} \,d x","Not used",1,"int((2*x^4 + 2*x^8 - 1)/((x^4 + 1)^(1/4)*(x^4 + x^8 - 1)), x)","F"
2566,0,-1,218,0.000000,"\text{Not used}","int(-(a*b - x*(2*a - b))/((x*(a - x)*(b - x))^(1/3)*(x*(2*a - b*d) - a^2 + x^2*(d - 1))),x)","-\int \frac{a\,b-x\,\left(2\,a-b\right)}{{\left(x\,\left(a-x\right)\,\left(b-x\right)\right)}^{1/3}\,\left(x\,\left(2\,a-b\,d\right)-a^2+x^2\,\left(d-1\right)\right)} \,d x","Not used",1,"-int((a*b - x*(2*a - b))/((x*(a - x)*(b - x))^(1/3)*(x*(2*a - b*d) - a^2 + x^2*(d - 1))), x)","F"
2567,0,-1,218,0.000000,"\text{Not used}","int(((a*x^4 - b)^(1/4)*(4*b - a*x^4))/(x^6*(8*b - a*x^8)),x)","\int \frac{{\left(a\,x^4-b\right)}^{1/4}\,\left(4\,b-a\,x^4\right)}{x^6\,\left(8\,b-a\,x^8\right)} \,d x","Not used",1,"int(((a*x^4 - b)^(1/4)*(4*b - a*x^4))/(x^6*(8*b - a*x^8)), x)","F"
2568,0,-1,218,0.000000,"\text{Not used}","int(((a*x^4 - b)^(1/4)*(4*b - a*x^4))/(x^6*(8*b - a*x^8)),x)","\int \frac{{\left(a\,x^4-b\right)}^{1/4}\,\left(4\,b-a\,x^4\right)}{x^6\,\left(8\,b-a\,x^8\right)} \,d x","Not used",1,"int(((a*x^4 - b)^(1/4)*(4*b - a*x^4))/(x^6*(8*b - a*x^8)), x)","F"
2569,0,-1,219,0.000000,"\text{Not used}","int(x/((x^3 - x^2)^(1/3)*(x + 1)),x)","\int \frac{x}{{\left(x^3-x^2\right)}^{1/3}\,\left(x+1\right)} \,d x","Not used",1,"int(x/((x^3 - x^2)^(1/3)*(x + 1)), x)","F"
2570,0,-1,219,0.000000,"\text{Not used}","int((x^3 - x^2)^(1/3)/(x^2 - 1),x)","\int \frac{{\left(x^3-x^2\right)}^{1/3}}{x^2-1} \,d x","Not used",1,"int((x^3 - x^2)^(1/3)/(x^2 - 1), x)","F"
2571,0,-1,219,0.000000,"\text{Not used}","int(x^2*((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)*(b + a^2*x^4)^(1/2),x)","\int x^2\,\sqrt{\sqrt{a^2\,x^4+b}+a\,x^2}\,\sqrt{a^2\,x^4+b} \,d x","Not used",1,"int(x^2*((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)*(b + a^2*x^4)^(1/2), x)","F"
2572,0,-1,220,0.000000,"\text{Not used}","int((a^2*x^2 - b*x)^(3/2)/(a*x^2 + x*(a^2*x^2 - b*x)^(1/2))^(3/2),x)","\int \frac{{\left(a^2\,x^2-b\,x\right)}^{3/2}}{{\left(a\,x^2+x\,\sqrt{a^2\,x^2-b\,x}\right)}^{3/2}} \,d x","Not used",1,"int((a^2*x^2 - b*x)^(3/2)/(a*x^2 + x*(a^2*x^2 - b*x)^(1/2))^(3/2), x)","F"
2573,0,-1,221,0.000000,"\text{Not used}","int(-(x*(k^2 - 2) - 3*k + k^2*x^3 + 3*k*x^2)/(((x^2 - 1)*(k^2*x^2 - 1))^(1/3)*(x^2*(d + k^2) - d + k*x*(d + 2) - d*k*x^3 + 1)),x)","\int -\frac{x\,\left(k^2-2\right)-3\,k+k^2\,x^3+3\,k\,x^2}{{\left(\left(x^2-1\right)\,\left(k^2\,x^2-1\right)\right)}^{1/3}\,\left(-d\,k\,x^3+\left(k^2+d\right)\,x^2+k\,\left(d+2\right)\,x-d+1\right)} \,d x","Not used",1,"int(-(x*(k^2 - 2) - 3*k + k^2*x^3 + 3*k*x^2)/(((x^2 - 1)*(k^2*x^2 - 1))^(1/3)*(x^2*(d + k^2) - d + k*x*(d + 2) - d*k*x^3 + 1)), x)","F"
2574,0,-1,221,0.000000,"\text{Not used}","int(-(a + b*x)/(x*(x^4 - x^3)^(1/4)*(d - c*x)),x)","\int -\frac{a+b\,x}{x\,{\left(x^4-x^3\right)}^{1/4}\,\left(d-c\,x\right)} \,d x","Not used",1,"int(-(a + b*x)/(x*(x^4 - x^3)^(1/4)*(d - c*x)), x)","F"
2575,0,-1,221,0.000000,"\text{Not used}","int(((3*x - 4)*((a*x - a + b*x^4)/(c*x - c + d*x^4))^(1/4))/(x*(x - 1)),x)","\int \frac{\left(3\,x-4\right)\,{\left(\frac{b\,x^4+a\,x-a}{d\,x^4+c\,x-c}\right)}^{1/4}}{x\,\left(x-1\right)} \,d x","Not used",1,"int(((3*x - 4)*((a*x - a + b*x^4)/(c*x - c + d*x^4))^(1/4))/(x*(x - 1)), x)","F"
2576,0,-1,221,0.000000,"\text{Not used}","int(-((x^3 + 1)^(2/3)*(2*x^6 - 2*x^3 + 1))/(x^6*(x^3 - 2*x^6 + 1)),x)","\int -\frac{{\left(x^3+1\right)}^{2/3}\,\left(2\,x^6-2\,x^3+1\right)}{x^6\,\left(-2\,x^6+x^3+1\right)} \,d x","Not used",1,"int(-((x^3 + 1)^(2/3)*(2*x^6 - 2*x^3 + 1))/(x^6*(x^3 - 2*x^6 + 1)), x)","F"
2577,0,-1,222,0.000000,"\text{Not used}","int(2/((x + 3)*(8*x^2 - 8*x + 2)^(2/3)),x)","\int \frac{2}{\left(x+3\right)\,{\left(8\,x^2-8\,x+2\right)}^{2/3}} \,d x","Not used",1,"int(2/((x + 3)*(8*x^2 - 8*x + 2)^(2/3)), x)","F"
2578,0,-1,222,0.000000,"\text{Not used}","int(-(x*(2*k - 3) + x^2*(k + 4) - 3*k*x^3 - 1)/((x*(k*x - 1)*(x - 1))^(1/3)*(x*(b + 5) - x^2*(b*k + 10) + 10*x^3 - 5*x^4 + x^5 - 1)),x)","\int -\frac{-3\,k\,x^3+\left(k+4\right)\,x^2+\left(2\,k-3\right)\,x-1}{{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{1/3}\,\left(x^5-5\,x^4+10\,x^3+\left(-b\,k-10\right)\,x^2+\left(b+5\right)\,x-1\right)} \,d x","Not used",1,"int(-(x*(2*k - 3) + x^2*(k + 4) - 3*k*x^3 - 1)/((x*(k*x - 1)*(x - 1))^(1/3)*(x*(b + 5) - x^2*(b*k + 10) + 10*x^3 - 5*x^4 + x^5 - 1)), x)","F"
2579,0,-1,223,0.000000,"\text{Not used}","int(1/(x*((x + 1)*(q + 2*q*x + x^2))^(1/3)),x)","\int \frac{1}{x\,{\left(\left(x+1\right)\,\left(x^2+2\,q\,x+q\right)\right)}^{1/3}} \,d x","Not used",1,"int(1/(x*((x + 1)*(q + 2*q*x + x^2))^(1/3)), x)","F"
2580,0,-1,223,0.000000,"\text{Not used}","int(-(x^2*(2*k - k^2) - 2*x + 1)/((x*(k*x - 1)*(x - 1))^(2/3)*(x^2*(b + k^2) - x*(b + 2*k) + 1)),x)","\int -\frac{\left(2\,k-k^2\right)\,x^2-2\,x+1}{{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{2/3}\,\left(\left(k^2+b\right)\,x^2+\left(-b-2\,k\right)\,x+1\right)} \,d x","Not used",1,"int(-(x^2*(2*k - k^2) - 2*x + 1)/((x*(k*x - 1)*(x - 1))^(2/3)*(x^2*(b + k^2) - x*(b + 2*k) + 1)), x)","F"
2581,0,-1,223,0.000000,"\text{Not used}","int((3*k + x*(k^2 - 2) + k^2*x^3 - 3*k*x^2)/(((x^2 - 1)*(k^2*x^2 - 1))^(1/3)*(x^2*(d + k^2) - d - k*x*(d + 2) + d*k*x^3 + 1)),x)","\int \frac{3\,k+x\,\left(k^2-2\right)+k^2\,x^3-3\,k\,x^2}{{\left(\left(x^2-1\right)\,\left(k^2\,x^2-1\right)\right)}^{1/3}\,\left(d\,k\,x^3+\left(k^2+d\right)\,x^2-k\,\left(d+2\right)\,x-d+1\right)} \,d x","Not used",1,"int((3*k + x*(k^2 - 2) + k^2*x^3 - 3*k*x^2)/(((x^2 - 1)*(k^2*x^2 - 1))^(1/3)*(x^2*(d + k^2) - d - k*x*(d + 2) + d*k*x^3 + 1)), x)","F"
2582,0,-1,223,0.000000,"\text{Not used}","int((4*k^2*x^3 - 2*x*(k^2 + 1) + k^2*x^4 + x^2*(k^2 + 1) - 3)/(((x^2 - 1)*(k^2*x^2 - 1))^(2/3)*(d - k^2*x^3 + x^2*(d + k^2) + x*(2*d + 1) - 1)),x)","\int \frac{4\,k^2\,x^3-2\,x\,\left(k^2+1\right)+k^2\,x^4+x^2\,\left(k^2+1\right)-3}{{\left(\left(x^2-1\right)\,\left(k^2\,x^2-1\right)\right)}^{2/3}\,\left(d-k^2\,x^3+x^2\,\left(k^2+d\right)+x\,\left(2\,d+1\right)-1\right)} \,d x","Not used",1,"int((4*k^2*x^3 - 2*x*(k^2 + 1) + k^2*x^4 + x^2*(k^2 + 1) - 3)/(((x^2 - 1)*(k^2*x^2 - 1))^(2/3)*(d - k^2*x^3 + x^2*(d + k^2) + x*(2*d + 1) - 1)), x)","F"
2583,1,1310,223,2.269376,"\text{Not used}","int((((x - 1)/(2*x + 1))^(1/4) - 3*((x - 1)/(2*x + 1))^(3/4))/((2*x - 1)*(x - 1)*(x + 1)^2),x)","-\sqrt{\frac{8}{27}-\frac{10}{81}{}\mathrm{i}}\,\mathrm{atan}\left(\sqrt{\frac{8}{27}-\frac{10}{81}{}\mathrm{i}}\,{\left(\frac{x-1}{2\,x+1}\right)}^{1/4}\,\left(\frac{18}{13}+\frac{27}{13}{}\mathrm{i}\right)\right)\,2{}\mathrm{i}+\sqrt{\frac{8}{27}+\frac{10}{81}{}\mathrm{i}}\,\mathrm{atan}\left(\sqrt{\frac{8}{27}+\frac{10}{81}{}\mathrm{i}}\,{\left(\frac{x-1}{2\,x+1}\right)}^{1/4}\,\left(\frac{18}{13}-\frac{27}{13}{}\mathrm{i}\right)\right)\,2{}\mathrm{i}-\frac{{\left(\frac{x-1}{2\,x+1}\right)}^{1/4}-3\,{\left(\frac{x-1}{2\,x+1}\right)}^{3/4}}{\frac{2\,x-2}{2\,x+1}-4}-\frac{2^{3/4}\,\mathrm{atan}\left(\frac{\frac{2^{3/4}\,\left(\frac{13937028229\,2^{3/4}\,{\left(\frac{x-1}{2\,x+1}\right)}^{1/4}}{4}-\frac{2^{3/4}\,\left(37\,\sqrt{2}-330\right)\,\left(\frac{25646402817\,2^{3/4}}{4}+\frac{2^{3/4}\,\left(37\,\sqrt{2}-330\right)\,\left(415942128\,2^{3/4}\,{\left(\frac{x-1}{2\,x+1}\right)}^{1/4}-\frac{2^{3/4}\,\left(37\,\sqrt{2}-330\right)\,\left(\frac{700891947\,2^{3/4}}{8}+\frac{2^{3/4}\,\left(37\,\sqrt{2}-330\right)\,\left(3601989\,\sqrt{2}\,\left(37\,\sqrt{2}-330\right)-634967019\,2^{3/4}\,{\left(\frac{x-1}{2\,x+1}\right)}^{1/4}\right)}{288}\right)}{288}\right)}{288}\right)}{288}\right)\,\left(37\,\sqrt{2}-330\right)\,1{}\mathrm{i}}{288}+\frac{2^{3/4}\,\left(\frac{13937028229\,2^{3/4}\,{\left(\frac{x-1}{2\,x+1}\right)}^{1/4}}{4}+\frac{2^{3/4}\,\left(37\,\sqrt{2}-330\right)\,\left(\frac{25646402817\,2^{3/4}}{4}-\frac{2^{3/4}\,\left(37\,\sqrt{2}-330\right)\,\left(415942128\,2^{3/4}\,{\left(\frac{x-1}{2\,x+1}\right)}^{1/4}+\frac{2^{3/4}\,\left(37\,\sqrt{2}-330\right)\,\left(\frac{700891947\,2^{3/4}}{8}+\frac{2^{3/4}\,\left(37\,\sqrt{2}-330\right)\,\left(3601989\,\sqrt{2}\,\left(37\,\sqrt{2}-330\right)+634967019\,2^{3/4}\,{\left(\frac{x-1}{2\,x+1}\right)}^{1/4}\right)}{288}\right)}{288}\right)}{288}\right)}{288}\right)\,\left(37\,\sqrt{2}-330\right)\,1{}\mathrm{i}}{288}}{\frac{11880642501\,2^{3/4}}{2}+\frac{2^{3/4}\,\left(\frac{13937028229\,2^{3/4}\,{\left(\frac{x-1}{2\,x+1}\right)}^{1/4}}{4}-\frac{2^{3/4}\,\left(37\,\sqrt{2}-330\right)\,\left(\frac{25646402817\,2^{3/4}}{4}+\frac{2^{3/4}\,\left(37\,\sqrt{2}-330\right)\,\left(415942128\,2^{3/4}\,{\left(\frac{x-1}{2\,x+1}\right)}^{1/4}-\frac{2^{3/4}\,\left(37\,\sqrt{2}-330\right)\,\left(\frac{700891947\,2^{3/4}}{8}+\frac{2^{3/4}\,\left(37\,\sqrt{2}-330\right)\,\left(3601989\,\sqrt{2}\,\left(37\,\sqrt{2}-330\right)-634967019\,2^{3/4}\,{\left(\frac{x-1}{2\,x+1}\right)}^{1/4}\right)}{288}\right)}{288}\right)}{288}\right)}{288}\right)\,\left(37\,\sqrt{2}-330\right)}{288}-\frac{2^{3/4}\,\left(\frac{13937028229\,2^{3/4}\,{\left(\frac{x-1}{2\,x+1}\right)}^{1/4}}{4}+\frac{2^{3/4}\,\left(37\,\sqrt{2}-330\right)\,\left(\frac{25646402817\,2^{3/4}}{4}-\frac{2^{3/4}\,\left(37\,\sqrt{2}-330\right)\,\left(415942128\,2^{3/4}\,{\left(\frac{x-1}{2\,x+1}\right)}^{1/4}+\frac{2^{3/4}\,\left(37\,\sqrt{2}-330\right)\,\left(\frac{700891947\,2^{3/4}}{8}+\frac{2^{3/4}\,\left(37\,\sqrt{2}-330\right)\,\left(3601989\,\sqrt{2}\,\left(37\,\sqrt{2}-330\right)+634967019\,2^{3/4}\,{\left(\frac{x-1}{2\,x+1}\right)}^{1/4}\right)}{288}\right)}{288}\right)}{288}\right)}{288}\right)\,\left(37\,\sqrt{2}-330\right)}{288}}\right)\,\left(37\,\sqrt{2}-330\right)\,1{}\mathrm{i}}{144}-\frac{2^{3/4}\,\mathrm{atan}\left(\frac{\frac{2^{3/4}\,\left(\frac{13937028229\,2^{3/4}\,{\left(\frac{x-1}{2\,x+1}\right)}^{1/4}}{4}-\frac{2^{3/4}\,\left(37\,\sqrt{2}+330\right)\,\left(\frac{25646402817\,2^{3/4}}{4}+\frac{2^{3/4}\,\left(37\,\sqrt{2}+330\right)\,\left(415942128\,2^{3/4}\,{\left(\frac{x-1}{2\,x+1}\right)}^{1/4}-\frac{2^{3/4}\,\left(37\,\sqrt{2}+330\right)\,\left(\frac{700891947\,2^{3/4}}{8}+\frac{2^{3/4}\,\left(37\,\sqrt{2}+330\right)\,\left(-634967019\,2^{3/4}\,{\left(\frac{x-1}{2\,x+1}\right)}^{1/4}+\sqrt{2}\,\left(37\,\sqrt{2}+330\right)\,3601989{}\mathrm{i}\right)\,1{}\mathrm{i}}{288}\right)\,1{}\mathrm{i}}{288}\right)\,1{}\mathrm{i}}{288}\right)\,1{}\mathrm{i}}{288}\right)\,\left(37\,\sqrt{2}+330\right)}{288}+\frac{2^{3/4}\,\left(\frac{13937028229\,2^{3/4}\,{\left(\frac{x-1}{2\,x+1}\right)}^{1/4}}{4}+\frac{2^{3/4}\,\left(37\,\sqrt{2}+330\right)\,\left(\frac{25646402817\,2^{3/4}}{4}-\frac{2^{3/4}\,\left(37\,\sqrt{2}+330\right)\,\left(415942128\,2^{3/4}\,{\left(\frac{x-1}{2\,x+1}\right)}^{1/4}+\frac{2^{3/4}\,\left(37\,\sqrt{2}+330\right)\,\left(\frac{700891947\,2^{3/4}}{8}+\frac{2^{3/4}\,\left(37\,\sqrt{2}+330\right)\,\left(634967019\,2^{3/4}\,{\left(\frac{x-1}{2\,x+1}\right)}^{1/4}+\sqrt{2}\,\left(37\,\sqrt{2}+330\right)\,3601989{}\mathrm{i}\right)\,1{}\mathrm{i}}{288}\right)\,1{}\mathrm{i}}{288}\right)\,1{}\mathrm{i}}{288}\right)\,1{}\mathrm{i}}{288}\right)\,\left(37\,\sqrt{2}+330\right)}{288}}{\frac{11880642501\,2^{3/4}}{2}+\frac{2^{3/4}\,\left(\frac{13937028229\,2^{3/4}\,{\left(\frac{x-1}{2\,x+1}\right)}^{1/4}}{4}-\frac{2^{3/4}\,\left(37\,\sqrt{2}+330\right)\,\left(\frac{25646402817\,2^{3/4}}{4}+\frac{2^{3/4}\,\left(37\,\sqrt{2}+330\right)\,\left(415942128\,2^{3/4}\,{\left(\frac{x-1}{2\,x+1}\right)}^{1/4}-\frac{2^{3/4}\,\left(37\,\sqrt{2}+330\right)\,\left(\frac{700891947\,2^{3/4}}{8}+\frac{2^{3/4}\,\left(37\,\sqrt{2}+330\right)\,\left(-634967019\,2^{3/4}\,{\left(\frac{x-1}{2\,x+1}\right)}^{1/4}+\sqrt{2}\,\left(37\,\sqrt{2}+330\right)\,3601989{}\mathrm{i}\right)\,1{}\mathrm{i}}{288}\right)\,1{}\mathrm{i}}{288}\right)\,1{}\mathrm{i}}{288}\right)\,1{}\mathrm{i}}{288}\right)\,\left(37\,\sqrt{2}+330\right)\,1{}\mathrm{i}}{288}-\frac{2^{3/4}\,\left(\frac{13937028229\,2^{3/4}\,{\left(\frac{x-1}{2\,x+1}\right)}^{1/4}}{4}+\frac{2^{3/4}\,\left(37\,\sqrt{2}+330\right)\,\left(\frac{25646402817\,2^{3/4}}{4}-\frac{2^{3/4}\,\left(37\,\sqrt{2}+330\right)\,\left(415942128\,2^{3/4}\,{\left(\frac{x-1}{2\,x+1}\right)}^{1/4}+\frac{2^{3/4}\,\left(37\,\sqrt{2}+330\right)\,\left(\frac{700891947\,2^{3/4}}{8}+\frac{2^{3/4}\,\left(37\,\sqrt{2}+330\right)\,\left(634967019\,2^{3/4}\,{\left(\frac{x-1}{2\,x+1}\right)}^{1/4}+\sqrt{2}\,\left(37\,\sqrt{2}+330\right)\,3601989{}\mathrm{i}\right)\,1{}\mathrm{i}}{288}\right)\,1{}\mathrm{i}}{288}\right)\,1{}\mathrm{i}}{288}\right)\,1{}\mathrm{i}}{288}\right)\,\left(37\,\sqrt{2}+330\right)\,1{}\mathrm{i}}{288}}\right)\,\left(37\,\sqrt{2}+330\right)}{144}","Not used",1,"(8/27 + 10i/81)^(1/2)*atan((8/27 + 10i/81)^(1/2)*((x - 1)/(2*x + 1))^(1/4)*(18/13 - 27i/13))*2i - (8/27 - 10i/81)^(1/2)*atan((8/27 - 10i/81)^(1/2)*((x - 1)/(2*x + 1))^(1/4)*(18/13 + 27i/13))*2i - (((x - 1)/(2*x + 1))^(1/4) - 3*((x - 1)/(2*x + 1))^(3/4))/((2*x - 2)/(2*x + 1) - 4) - (2^(3/4)*atan(((2^(3/4)*((13937028229*2^(3/4)*((x - 1)/(2*x + 1))^(1/4))/4 - (2^(3/4)*(37*2^(1/2) - 330)*((25646402817*2^(3/4))/4 + (2^(3/4)*(37*2^(1/2) - 330)*(415942128*2^(3/4)*((x - 1)/(2*x + 1))^(1/4) - (2^(3/4)*(37*2^(1/2) - 330)*((700891947*2^(3/4))/8 + (2^(3/4)*(37*2^(1/2) - 330)*(3601989*2^(1/2)*(37*2^(1/2) - 330) - 634967019*2^(3/4)*((x - 1)/(2*x + 1))^(1/4)))/288))/288))/288))/288)*(37*2^(1/2) - 330)*1i)/288 + (2^(3/4)*((13937028229*2^(3/4)*((x - 1)/(2*x + 1))^(1/4))/4 + (2^(3/4)*(37*2^(1/2) - 330)*((25646402817*2^(3/4))/4 - (2^(3/4)*(37*2^(1/2) - 330)*(415942128*2^(3/4)*((x - 1)/(2*x + 1))^(1/4) + (2^(3/4)*(37*2^(1/2) - 330)*((700891947*2^(3/4))/8 + (2^(3/4)*(37*2^(1/2) - 330)*(3601989*2^(1/2)*(37*2^(1/2) - 330) + 634967019*2^(3/4)*((x - 1)/(2*x + 1))^(1/4)))/288))/288))/288))/288)*(37*2^(1/2) - 330)*1i)/288)/((11880642501*2^(3/4))/2 + (2^(3/4)*((13937028229*2^(3/4)*((x - 1)/(2*x + 1))^(1/4))/4 - (2^(3/4)*(37*2^(1/2) - 330)*((25646402817*2^(3/4))/4 + (2^(3/4)*(37*2^(1/2) - 330)*(415942128*2^(3/4)*((x - 1)/(2*x + 1))^(1/4) - (2^(3/4)*(37*2^(1/2) - 330)*((700891947*2^(3/4))/8 + (2^(3/4)*(37*2^(1/2) - 330)*(3601989*2^(1/2)*(37*2^(1/2) - 330) - 634967019*2^(3/4)*((x - 1)/(2*x + 1))^(1/4)))/288))/288))/288))/288)*(37*2^(1/2) - 330))/288 - (2^(3/4)*((13937028229*2^(3/4)*((x - 1)/(2*x + 1))^(1/4))/4 + (2^(3/4)*(37*2^(1/2) - 330)*((25646402817*2^(3/4))/4 - (2^(3/4)*(37*2^(1/2) - 330)*(415942128*2^(3/4)*((x - 1)/(2*x + 1))^(1/4) + (2^(3/4)*(37*2^(1/2) - 330)*((700891947*2^(3/4))/8 + (2^(3/4)*(37*2^(1/2) - 330)*(3601989*2^(1/2)*(37*2^(1/2) - 330) + 634967019*2^(3/4)*((x - 1)/(2*x + 1))^(1/4)))/288))/288))/288))/288)*(37*2^(1/2) - 330))/288))*(37*2^(1/2) - 330)*1i)/144 - (2^(3/4)*atan(((2^(3/4)*((13937028229*2^(3/4)*((x - 1)/(2*x + 1))^(1/4))/4 - (2^(3/4)*(37*2^(1/2) + 330)*((25646402817*2^(3/4))/4 + (2^(3/4)*(37*2^(1/2) + 330)*(415942128*2^(3/4)*((x - 1)/(2*x + 1))^(1/4) - (2^(3/4)*(37*2^(1/2) + 330)*((700891947*2^(3/4))/8 + (2^(3/4)*(37*2^(1/2) + 330)*(2^(1/2)*(37*2^(1/2) + 330)*3601989i - 634967019*2^(3/4)*((x - 1)/(2*x + 1))^(1/4))*1i)/288)*1i)/288)*1i)/288)*1i)/288)*(37*2^(1/2) + 330))/288 + (2^(3/4)*((13937028229*2^(3/4)*((x - 1)/(2*x + 1))^(1/4))/4 + (2^(3/4)*(37*2^(1/2) + 330)*((25646402817*2^(3/4))/4 - (2^(3/4)*(37*2^(1/2) + 330)*(415942128*2^(3/4)*((x - 1)/(2*x + 1))^(1/4) + (2^(3/4)*(37*2^(1/2) + 330)*((700891947*2^(3/4))/8 + (2^(3/4)*(37*2^(1/2) + 330)*(2^(1/2)*(37*2^(1/2) + 330)*3601989i + 634967019*2^(3/4)*((x - 1)/(2*x + 1))^(1/4))*1i)/288)*1i)/288)*1i)/288)*1i)/288)*(37*2^(1/2) + 330))/288)/((11880642501*2^(3/4))/2 + (2^(3/4)*((13937028229*2^(3/4)*((x - 1)/(2*x + 1))^(1/4))/4 - (2^(3/4)*(37*2^(1/2) + 330)*((25646402817*2^(3/4))/4 + (2^(3/4)*(37*2^(1/2) + 330)*(415942128*2^(3/4)*((x - 1)/(2*x + 1))^(1/4) - (2^(3/4)*(37*2^(1/2) + 330)*((700891947*2^(3/4))/8 + (2^(3/4)*(37*2^(1/2) + 330)*(2^(1/2)*(37*2^(1/2) + 330)*3601989i - 634967019*2^(3/4)*((x - 1)/(2*x + 1))^(1/4))*1i)/288)*1i)/288)*1i)/288)*1i)/288)*(37*2^(1/2) + 330)*1i)/288 - (2^(3/4)*((13937028229*2^(3/4)*((x - 1)/(2*x + 1))^(1/4))/4 + (2^(3/4)*(37*2^(1/2) + 330)*((25646402817*2^(3/4))/4 - (2^(3/4)*(37*2^(1/2) + 330)*(415942128*2^(3/4)*((x - 1)/(2*x + 1))^(1/4) + (2^(3/4)*(37*2^(1/2) + 330)*((700891947*2^(3/4))/8 + (2^(3/4)*(37*2^(1/2) + 330)*(2^(1/2)*(37*2^(1/2) + 330)*3601989i + 634967019*2^(3/4)*((x - 1)/(2*x + 1))^(1/4))*1i)/288)*1i)/288)*1i)/288)*1i)/288)*(37*2^(1/2) + 330)*1i)/288))*(37*2^(1/2) + 330))/144","B"
2584,0,-1,223,0.000000,"\text{Not used}","int(-((p^2*x^4 + q^2)^(1/2)*(q - p*x^2))/(a*(q + p*x^2)^3 + b*x^3),x)","\int -\frac{\sqrt{p^2\,x^4+q^2}\,\left(q-p\,x^2\right)}{a\,{\left(p\,x^2+q\right)}^3+b\,x^3} \,d x","Not used",1,"int(-((p^2*x^4 + q^2)^(1/2)*(q - p*x^2))/(a*(q + p*x^2)^3 + b*x^3), x)","F"
2585,0,-1,223,0.000000,"\text{Not used}","int(-((p^2*x^4 + q^2)^(1/2)*(q - p*x^2))/(a*(q + p*x^2)^3 + b*x^3),x)","\int -\frac{\sqrt{p^2\,x^4+q^2}\,\left(q-p\,x^2\right)}{a\,{\left(p\,x^2+q\right)}^3+b\,x^3} \,d x","Not used",1,"int(-((p^2*x^4 + q^2)^(1/2)*(q - p*x^2))/(a*(q + p*x^2)^3 + b*x^3), x)","F"
2586,0,-1,223,0.000000,"\text{Not used}","int((x^2 - 1)^2/((x^2 + 1)^2*(x^4 + 1)^(1/2)*((x^4 + 1)^(1/2) + x^2)^(1/2)),x)","\int \frac{{\left(x^2-1\right)}^2}{{\left(x^2+1\right)}^2\,\sqrt{x^4+1}\,\sqrt{\sqrt{x^4+1}+x^2}} \,d x","Not used",1,"int((x^2 - 1)^2/((x^2 + 1)^2*(x^4 + 1)^(1/2)*((x^4 + 1)^(1/2) + x^2)^(1/2)), x)","F"
2587,0,-1,224,0.000000,"\text{Not used}","int((2*x*(k^2 + 1) - 4*k^2*x^3 + k^2*x^4 + x^2*(k^2 + 1) - 3)/(((x^2 - 1)*(k^2*x^2 - 1))^(2/3)*(d + k^2*x^3 + x^2*(d + k^2) - x*(2*d + 1) - 1)),x)","\int \frac{2\,x\,\left(k^2+1\right)-4\,k^2\,x^3+k^2\,x^4+x^2\,\left(k^2+1\right)-3}{{\left(\left(x^2-1\right)\,\left(k^2\,x^2-1\right)\right)}^{2/3}\,\left(d+k^2\,x^3+x^2\,\left(k^2+d\right)-x\,\left(2\,d+1\right)-1\right)} \,d x","Not used",1,"int((2*x*(k^2 + 1) - 4*k^2*x^3 + k^2*x^4 + x^2*(k^2 + 1) - 3)/(((x^2 - 1)*(k^2*x^2 - 1))^(2/3)*(d + k^2*x^3 + x^2*(d + k^2) - x*(2*d + 1) - 1)), x)","F"
2588,0,-1,224,0.000000,"\text{Not used}","int(-(x^3*(x*(k + 1) - 2))/((x*(k*x - 1)*(x - 1))^(2/3)*(x*(2*k + 2) + x^4*(b - k^2) - x^2*(4*k + k^2 + 1) + x^3*(2*k + 2*k^2) - 1)),x)","\int -\frac{x^3\,\left(x\,\left(k+1\right)-2\right)}{{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{2/3}\,\left(\left(b-k^2\right)\,x^4+\left(2\,k^2+2\,k\right)\,x^3+\left(-k^2-4\,k-1\right)\,x^2+\left(2\,k+2\right)\,x-1\right)} \,d x","Not used",1,"int(-(x^3*(x*(k + 1) - 2))/((x*(k*x - 1)*(x - 1))^(2/3)*(x*(2*k + 2) + x^4*(b - k^2) - x^2*(4*k + k^2 + 1) + x^3*(2*k + 2*k^2) - 1)), x)","F"
2589,0,-1,224,0.000000,"\text{Not used}","int((x^2 + 1)^2/((x^2 - 1)^2*(x^4 + 1)^(1/2)*((x^4 + 1)^(1/2) + x^2)^(1/2)),x)","\int \frac{{\left(x^2+1\right)}^2}{{\left(x^2-1\right)}^2\,\sqrt{x^4+1}\,\sqrt{\sqrt{x^4+1}+x^2}} \,d x","Not used",1,"int((x^2 + 1)^2/((x^2 - 1)^2*(x^4 + 1)^(1/2)*((x^4 + 1)^(1/2) + x^2)^(1/2)), x)","F"
2590,0,-1,224,0.000000,"\text{Not used}","int(((x^2 - 1)^2*((x^4 + 1)^(1/2) + x^2)^(1/2))/((x^2 + 1)^2*(x^4 + 1)^(1/2)),x)","\int \frac{{\left(x^2-1\right)}^2\,\sqrt{\sqrt{x^4+1}+x^2}}{{\left(x^2+1\right)}^2\,\sqrt{x^4+1}} \,d x","Not used",1,"int(((x^2 - 1)^2*((x^4 + 1)^(1/2) + x^2)^(1/2))/((x^2 + 1)^2*(x^4 + 1)^(1/2)), x)","F"
2591,0,-1,224,0.000000,"\text{Not used}","int((x^2 - 1)/((x^2 + 1)*(((x + 1)^(1/2) + 1)^(1/2) + 1)^(1/2)),x)","\int \frac{x^2-1}{\left(x^2+1\right)\,\sqrt{\sqrt{\sqrt{x+1}+1}+1}} \,d x","Not used",1,"int((x^2 - 1)/((x^2 + 1)*(((x + 1)^(1/2) + 1)^(1/2) + 1)^(1/2)), x)","F"
2592,0,-1,224,0.000000,"\text{Not used}","int((x^2 - 1)/((x^2 + 1)*(((x + 1)^(1/2) + 1)^(1/2) + 1)^(1/2)),x)","\int \frac{x^2-1}{\left(x^2+1\right)\,\sqrt{\sqrt{\sqrt{x+1}+1}+1}} \,d x","Not used",1,"int((x^2 - 1)/((x^2 + 1)*(((x + 1)^(1/2) + 1)^(1/2) + 1)^(1/2)), x)","F"
2593,0,-1,225,0.000000,"\text{Not used}","int(((x - 2)*(x - x^2 + x^3)^(1/3))/((x - 1)*(x + x^2 - 1)),x)","\int \frac{\left(x-2\right)\,{\left(x^3-x^2+x\right)}^{1/3}}{\left(x-1\right)\,\left(x^2+x-1\right)} \,d x","Not used",1,"int(((x - 2)*(x - x^2 + x^3)^(1/3))/((x - 1)*(x + x^2 - 1)), x)","F"
2594,0,-1,225,0.000000,"\text{Not used}","int(((x^2 + x^3)^(1/3)*(x^2 + 1))/(x^2 - 1),x)","\int \frac{{\left(x^3+x^2\right)}^{1/3}\,\left(x^2+1\right)}{x^2-1} \,d x","Not used",1,"int(((x^2 + x^3)^(1/3)*(x^2 + 1))/(x^2 - 1), x)","F"
2595,1,166,225,2.017658,"\text{Not used}","int(-(b - a*x)/(x*(a^3*x^3 - b^3)^(1/3)),x)","\frac{\ln\left(b^3+b^2\,{\left(a^3\,x^3-b^3\right)}^{1/3}\right)}{3}+\ln\left(9\,b^3\,{\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}^2+b^2\,{\left(a^3\,x^3-b^3\right)}^{1/3}\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)-\ln\left(9\,b^3\,{\left(\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}^2+b^2\,{\left(a^3\,x^3-b^3\right)}^{1/3}\right)\,\left(\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)+\frac{a\,x\,{\left(1-\frac{a^3\,x^3}{b^3}\right)}^{1/3}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{3},\frac{1}{3};\ \frac{4}{3};\ \frac{a^3\,x^3}{b^3}\right)}{{\left(a^3\,x^3-b^3\right)}^{1/3}}","Not used",1,"log(b^3 + b^2*(a^3*x^3 - b^3)^(1/3))/3 + log(9*b^3*((3^(1/2)*1i)/6 - 1/6)^2 + b^2*(a^3*x^3 - b^3)^(1/3))*((3^(1/2)*1i)/6 - 1/6) - log(9*b^3*((3^(1/2)*1i)/6 + 1/6)^2 + b^2*(a^3*x^3 - b^3)^(1/3))*((3^(1/2)*1i)/6 + 1/6) + (a*x*(1 - (a^3*x^3)/b^3)^(1/3)*hypergeom([1/3, 1/3], 4/3, (a^3*x^3)/b^3))/(a^3*x^3 - b^3)^(1/3)","B"
2596,0,-1,225,0.000000,"\text{Not used}","int(((x^3 - 2)*(x + 2*x^3 + x^4)^(1/3))/((x^3 + 1)*(x^2 + x^3 + 1)),x)","\int \frac{\left(x^3-2\right)\,{\left(x^4+2\,x^3+x\right)}^{1/3}}{\left(x^3+1\right)\,\left(x^3+x^2+1\right)} \,d x","Not used",1,"int(((x^3 - 2)*(x + 2*x^3 + x^4)^(1/3))/((x^3 + 1)*(x^2 + x^3 + 1)), x)","F"
2597,0,-1,225,0.000000,"\text{Not used}","int(x^4/((x^4 - 1)^(1/4)*(2*x^8 - 2*x^4 + 1)),x)","\int \frac{x^4}{{\left(x^4-1\right)}^{1/4}\,\left(2\,x^8-2\,x^4+1\right)} \,d x","Not used",1,"int(x^4/((x^4 - 1)^(1/4)*(2*x^8 - 2*x^4 + 1)), x)","F"
2598,0,-1,225,0.000000,"\text{Not used}","int((x^4 - 1)^(3/4)/(2*x^8 - 2*x^4 + 1),x)","\int \frac{{\left(x^4-1\right)}^{3/4}}{2\,x^8-2\,x^4+1} \,d x","Not used",1,"int((x^4 - 1)^(3/4)/(2*x^8 - 2*x^4 + 1), x)","F"
2599,0,-1,225,0.000000,"\text{Not used}","int(x^4/((x^4 + 1)^(1/4)*(2*x^4 + 2*x^8 + 1)),x)","\int \frac{x^4}{{\left(x^4+1\right)}^{1/4}\,\left(2\,x^8+2\,x^4+1\right)} \,d x","Not used",1,"int(x^4/((x^4 + 1)^(1/4)*(2*x^4 + 2*x^8 + 1)), x)","F"
2600,0,-1,225,0.000000,"\text{Not used}","int((x^4 + 1)^(3/4)/(2*x^4 + 2*x^8 + 1),x)","\int \frac{{\left(x^4+1\right)}^{3/4}}{2\,x^8+2\,x^4+1} \,d x","Not used",1,"int((x^4 + 1)^(3/4)/(2*x^4 + 2*x^8 + 1), x)","F"
2601,0,-1,225,0.000000,"\text{Not used}","int((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)","\int \frac{x^2\,\sqrt{a^2\,x^2-b\,x}}{{\left(a\,x^2+x\,\sqrt{a^2\,x^2-b\,x}\right)}^{3/2}} \,d x","Not used",1,"int((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)","F"
2602,0,-1,225,0.000000,"\text{Not used}","int(((x^4 + 1)^(1/2) + x^2)^(1/2)/((x^4 + 1)^(1/2)*(x + 1)),x)","\int \frac{\sqrt{\sqrt{x^4+1}+x^2}}{\sqrt{x^4+1}\,\left(x+1\right)} \,d x","Not used",1,"int(((x^4 + 1)^(1/2) + x^2)^(1/2)/((x^4 + 1)^(1/2)*(x + 1)), x)","F"
2603,0,-1,226,0.000000,"\text{Not used}","int((b - a*x^2)/((a^3*x^3 + b^2*x^2)^(1/3)*(b - 2*a*x^3)),x)","\int \frac{b-a\,x^2}{{\left(a^3\,x^3+b^2\,x^2\right)}^{1/3}\,\left(b-2\,a\,x^3\right)} \,d x","Not used",1,"int((b - a*x^2)/((a^3*x^3 + b^2*x^2)^(1/3)*(b - 2*a*x^3)), x)","F"
2604,0,-1,226,0.000000,"\text{Not used}","int((b - a*x^2)/((a^3*x^3 + b^2*x^2)^(1/3)*(b - 2*a*x^3)),x)","\int \frac{b-a\,x^2}{{\left(a^3\,x^3+b^2\,x^2\right)}^{1/3}\,\left(b-2\,a\,x^3\right)} \,d x","Not used",1,"int((b - a*x^2)/((a^3*x^3 + b^2*x^2)^(1/3)*(b - 2*a*x^3)), x)","F"
2605,0,-1,226,0.000000,"\text{Not used}","int((x^3 - 3*a*x^2 + 2*a*b*x)/((x^2*(a - x)*(b - x))^(1/3)*(2*a*x + d*x^3 - x^2*(b*d + 1) - a^2)),x)","\int \frac{x^3-3\,a\,x^2+2\,a\,b\,x}{{\left(x^2\,\left(a-x\right)\,\left(b-x\right)\right)}^{1/3}\,\left(-a^2+2\,a\,x+d\,x^3+\left(-b\,d-1\right)\,x^2\right)} \,d x","Not used",1,"int((x^3 - 3*a*x^2 + 2*a*b*x)/((x^2*(a - x)*(b - x))^(1/3)*(2*a*x + d*x^3 - x^2*(b*d + 1) - a^2)), x)","F"
2606,0,-1,226,0.000000,"\text{Not used}","int((x*(k^2 - 2) + k^2*x^3)/(((x^2 - 1)*(k^2*x^2 - 1))^(1/3)*(x^2*(d*k^2 - 2) - d + x^4 + 1)),x)","\int \frac{x\,\left(k^2-2\right)+k^2\,x^3}{{\left(\left(x^2-1\right)\,\left(k^2\,x^2-1\right)\right)}^{1/3}\,\left(x^4+\left(d\,k^2-2\right)\,x^2-d+1\right)} \,d x","Not used",1,"int((x*(k^2 - 2) + k^2*x^3)/(((x^2 - 1)*(k^2*x^2 - 1))^(1/3)*(x^2*(d*k^2 - 2) - d + x^4 + 1)), x)","F"
2607,0,-1,226,0.000000,"\text{Not used}","int(((x^3 + x^4)^(1/4)*(2*x + 1))/(x + x^2 - 1),x)","\int \frac{{\left(x^4+x^3\right)}^{1/4}\,\left(2\,x+1\right)}{x^2+x-1} \,d x","Not used",1,"int(((x^3 + x^4)^(1/4)*(2*x + 1))/(x + x^2 - 1), x)","F"
2608,0,-1,226,0.000000,"\text{Not used}","int((k^4*x^5 - 2*k^4*x^3 + x*(2*k^2 - 1))/(((x^2 - 1)*(k^2*x^2 - 1))^(2/3)*(d - x^2*(2*d*k^2 - 1) + d*k^4*x^4 - 1)),x)","\int \frac{k^4\,x^5-2\,k^4\,x^3+x\,\left(2\,k^2-1\right)}{{\left(\left(x^2-1\right)\,\left(k^2\,x^2-1\right)\right)}^{2/3}\,\left(d-x^2\,\left(2\,d\,k^2-1\right)+d\,k^4\,x^4-1\right)} \,d x","Not used",1,"int((k^4*x^5 - 2*k^4*x^3 + x*(2*k^2 - 1))/(((x^2 - 1)*(k^2*x^2 - 1))^(2/3)*(d - x^2*(2*d*k^2 - 1) + d*k^4*x^4 - 1)), x)","F"
2609,0,-1,227,0.000000,"\text{Not used}","int(-((2*a*b - x*(a + b))*(a - x)*(b - x))/((x*(a - x)*(b - x))^(1/3)*(x^4*(d - 1) + a^2*b^2*d + d*x^2*(4*a*b + a^2 + b^2) - 2*d*x^3*(a + b) - 2*a*b*d*x*(a + b))),x)","-\int \frac{\left(2\,a\,b-x\,\left(a+b\right)\right)\,\left(a-x\right)\,\left(b-x\right)}{{\left(x\,\left(a-x\right)\,\left(b-x\right)\right)}^{1/3}\,\left(x^4\,\left(d-1\right)+a^2\,b^2\,d+d\,x^2\,\left(a^2+4\,a\,b+b^2\right)-2\,d\,x^3\,\left(a+b\right)-2\,a\,b\,d\,x\,\left(a+b\right)\right)} \,d x","Not used",1,"-int(((2*a*b - x*(a + b))*(a - x)*(b - x))/((x*(a - x)*(b - x))^(1/3)*(x^4*(d - 1) + a^2*b^2*d + d*x^2*(4*a*b + a^2 + b^2) - 2*d*x^3*(a + b) - 2*a*b*d*x*(a + b))), x)","F"
2610,1,246,227,13.681712,"\text{Not used}","int(((b^2 + a^2*x^3)^(1/2)*(c*x^3 + 2*b^2 + a^2*x^6))/(x*(b^2 + a^2*x^6)),x)","\frac{2\,\sqrt{a^2\,x^3+b^2}}{3}+\frac{2\,b\,\ln\left(\frac{\left(b+\sqrt{a^2\,x^3+b^2}\right)\,{\left(b-\sqrt{a^2\,x^3+b^2}\right)}^3}{x^6}\right)}{3}+\frac{\sqrt{\frac{1}{36}{}\mathrm{i}}\,\ln\left(\frac{2\,{\left(-1\right)}^{1/4}\,b^2+{\left(-1\right)}^{1/4}\,a^2\,x^3-2\,\sqrt{b}\,\sqrt{a^2\,x^3+b^2}\,\sqrt{a+b\,1{}\mathrm{i}}-{\left(-1\right)}^{3/4}\,a\,b}{a\,x^3+b\,1{}\mathrm{i}}\right)\,\sqrt{a+b\,1{}\mathrm{i}}\,\left(c+a\,b\,1{}\mathrm{i}\right)}{a\,\sqrt{b}}+\frac{\sqrt{\frac{1}{36}{}\mathrm{i}}\,\ln\left(\frac{2\,{\left(-1\right)}^{1/4}\,b^2+{\left(-1\right)}^{1/4}\,a^2\,x^3+{\left(-1\right)}^{3/4}\,a\,b+2\,\sqrt{b}\,\sqrt{a^2\,x^3+b^2}\,\sqrt{-a+b\,1{}\mathrm{i}}}{-a\,x^3+b\,1{}\mathrm{i}}\right)\,\sqrt{-a+b\,1{}\mathrm{i}}\,\left(c-a\,b\,1{}\mathrm{i}\right)}{a\,\sqrt{b}}","Not used",1,"(2*(b^2 + a^2*x^3)^(1/2))/3 + (2*b*log(((b + (b^2 + a^2*x^3)^(1/2))*(b - (b^2 + a^2*x^3)^(1/2))^3)/x^6))/3 + ((1i/36)^(1/2)*log((2*(-1)^(1/4)*b^2 + (-1)^(1/4)*a^2*x^3 - 2*b^(1/2)*(b^2 + a^2*x^3)^(1/2)*(a + b*1i)^(1/2) - (-1)^(3/4)*a*b)/(b*1i + a*x^3))*(a + b*1i)^(1/2)*(c + a*b*1i))/(a*b^(1/2)) + ((1i/36)^(1/2)*log((2*(-1)^(1/4)*b^2 + (-1)^(1/4)*a^2*x^3 + (-1)^(3/4)*a*b + 2*b^(1/2)*(b^2 + a^2*x^3)^(1/2)*(b*1i - a)^(1/2))/(b*1i - a*x^3))*(b*1i - a)^(1/2)*(c - a*b*1i))/(a*b^(1/2))","B"
2611,0,-1,227,0.000000,"\text{Not used}","int(-((b + a*x^6)*(x + x^4)^(1/2))/(d - c*x^6),x)","\int -\frac{\left(a\,x^6+b\right)\,\sqrt{x^4+x}}{d-c\,x^6} \,d x","Not used",1,"int(-((b + a*x^6)*(x + x^4)^(1/2))/(d - c*x^6), x)","F"
2612,0,-1,228,0.000000,"\text{Not used}","int((x*(k*x - 1)*(x^2*(2*k - 1) - 2*k*x + 1))/((x*(k*x - 1)*(x - 1))^(2/3)*(4*x + x^4*(b*k^2 - 1) - x^3*(2*b*k - 4) + x^2*(b - 6) - 1)),x)","\int \frac{x\,\left(k\,x-1\right)\,\left(\left(2\,k-1\right)\,x^2-2\,k\,x+1\right)}{{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{2/3}\,\left(\left(b\,k^2-1\right)\,x^4+\left(4-2\,b\,k\right)\,x^3+\left(b-6\right)\,x^2+4\,x-1\right)} \,d x","Not used",1,"int((x*(k*x - 1)*(x^2*(2*k - 1) - 2*k*x + 1))/((x*(k*x - 1)*(x - 1))^(2/3)*(4*x + x^4*(b*k^2 - 1) - x^3*(2*b*k - 4) + x^2*(b - 6) - 1)), x)","F"
2613,0,-1,228,0.000000,"\text{Not used}","int((a*p*x^4 - 3*a*q + 4*b*p*x^3)/((q + p*x^4)^(1/3)*(c*q + b^3*d + c*p*x^4 + a^3*d*x^3 + 3*a*b^2*d*x + 3*a^2*b*d*x^2)),x)","\int \frac{a\,p\,x^4+4\,b\,p\,x^3-3\,a\,q}{{\left(p\,x^4+q\right)}^{1/3}\,\left(d\,a^3\,x^3+3\,d\,a^2\,b\,x^2+3\,d\,a\,b^2\,x+d\,b^3+c\,p\,x^4+c\,q\right)} \,d x","Not used",1,"int((a*p*x^4 - 3*a*q + 4*b*p*x^3)/((q + p*x^4)^(1/3)*(c*q + b^3*d + c*p*x^4 + a^3*d*x^3 + 3*a*b^2*d*x + 3*a^2*b*d*x^2)), x)","F"
2614,0,-1,228,0.000000,"\text{Not used}","int(-x^2/((c + (b + a*x)^(1/2))^(1/2)*(b + a*x)^(1/2) - x^2),x)","-\int \frac{x^2}{\sqrt{c+\sqrt{b+a\,x}}\,\sqrt{b+a\,x}-x^2} \,d x","Not used",1,"-int(x^2/((c + (b + a*x)^(1/2))^(1/2)*(b + a*x)^(1/2) - x^2), x)","F"
2615,0,-1,228,0.000000,"\text{Not used}","int(-x^2/((c + (b + a*x)^(1/2))^(1/2)*(b + a*x)^(1/2) - x^2),x)","-\int \frac{x^2}{\sqrt{c+\sqrt{b+a\,x}}\,\sqrt{b+a\,x}-x^2} \,d x","Not used",1,"-int(x^2/((c + (b + a*x)^(1/2))^(1/2)*(b + a*x)^(1/2) - x^2), x)","F"
2616,0,-1,229,0.000000,"\text{Not used}","int((3*k^2*x^2 + k^2*x^3 - x*(2*k^2 - 1) - 3)/(((x^2 - 1)*(k^2*x^2 - 1))^(1/3)*(d - k^2*x^3 + x^2*(d + k^2) + x*(2*d + 1) - 1)),x)","-\int -\frac{3\,k^2\,x^2+k^2\,x^3-x\,\left(2\,k^2-1\right)-3}{{\left(\left(x^2-1\right)\,\left(k^2\,x^2-1\right)\right)}^{1/3}\,\left(d-k^2\,x^3+x^2\,\left(k^2+d\right)+x\,\left(2\,d+1\right)-1\right)} \,d x","Not used",1,"-int(-(3*k^2*x^2 + k^2*x^3 - x*(2*k^2 - 1) - 3)/(((x^2 - 1)*(k^2*x^2 - 1))^(1/3)*(d - k^2*x^3 + x^2*(d + k^2) + x*(2*d + 1) - 1)), x)","F"
2617,0,-1,229,0.000000,"\text{Not used}","int(-(3*k^2*x^2 - k^2*x^3 + x*(2*k^2 - 1) - 3)/(((x^2 - 1)*(k^2*x^2 - 1))^(1/3)*(d + k^2*x^3 + x^2*(d + k^2) - x*(2*d + 1) - 1)),x)","-\int \frac{3\,k^2\,x^2-k^2\,x^3+x\,\left(2\,k^2-1\right)-3}{{\left(\left(x^2-1\right)\,\left(k^2\,x^2-1\right)\right)}^{1/3}\,\left(d+k^2\,x^3+x^2\,\left(k^2+d\right)-x\,\left(2\,d+1\right)-1\right)} \,d x","Not used",1,"-int((3*k^2*x^2 - k^2*x^3 + x*(2*k^2 - 1) - 3)/(((x^2 - 1)*(k^2*x^2 - 1))^(1/3)*(d + k^2*x^3 + x^2*(d + k^2) - x*(2*d + 1) - 1)), x)","F"
2618,0,-1,229,0.000000,"\text{Not used}","int(((b^4 + a^4*x^4)*(a^4*x^4 - b^4)^(1/2))/(b^8 - c*x^4 + a^8*x^8),x)","\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","Not used",1,"int(((b^4 + a^4*x^4)*(a^4*x^4 - b^4)^(1/2))/(b^8 - c*x^4 + a^8*x^8), x)","F"
2619,0,-1,229,0.000000,"\text{Not used}","int(-(b^8 - a^8*x^8)/((a^4*x^4 - b^4)^(1/2)*(b^8 - c*x^4 + a^8*x^8)),x)","\int -\frac{b^8-a^8\,x^8}{\sqrt{a^4\,x^4-b^4}\,\left(a^8\,x^8+b^8-c\,x^4\right)} \,d x","Not used",1,"int(-(b^8 - a^8*x^8)/((a^4*x^4 - b^4)^(1/2)*(b^8 - c*x^4 + a^8*x^8)), x)","F"
2620,0,-1,229,0.000000,"\text{Not used}","int((a*x + (a*x - b)^(1/2))^(1/2)/x^2,x)","\int \frac{\sqrt{a\,x+\sqrt{a\,x-b}}}{x^2} \,d x","Not used",1,"int((a*x + (a*x - b)^(1/2))^(1/2)/x^2, x)","F"
2621,0,-1,230,0.000000,"\text{Not used}","int(-(x^2*(2*k - 1) - 2*k*x + 1)/((x*(k*x - 1)*(x - 1))^(2/3)*(x^2*(b*k + 1) - x*(b + 2) + 1)),x)","\int -\frac{\left(2\,k-1\right)\,x^2-2\,k\,x+1}{{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{2/3}\,\left(\left(b\,k+1\right)\,x^2+\left(-b-2\right)\,x+1\right)} \,d x","Not used",1,"int(-(x^2*(2*k - 1) - 2*k*x + 1)/((x*(k*x - 1)*(x - 1))^(2/3)*(x^2*(b*k + 1) - x*(b + 2) + 1)), x)","F"
2622,0,-1,230,0.000000,"\text{Not used}","int((x^3*(x^2 + 3))/((x^2 + 1)*(x^2 + x^3 + 1)*(x^2 - x^3 + 1)^(1/3)),x)","\int \frac{x^3\,\left(x^2+3\right)}{\left(x^2+1\right)\,\left(x^3+x^2+1\right)\,{\left(-x^3+x^2+1\right)}^{1/3}} \,d x","Not used",1,"int((x^3*(x^2 + 3))/((x^2 + 1)*(x^2 + x^3 + 1)*(x^2 - x^3 + 1)^(1/3)), x)","F"
2623,0,-1,230,0.000000,"\text{Not used}","int(((x^2 + 1)*(x^4 - x^3)^(1/4))/(x + 2*x^2 - 1),x)","\int \frac{\left(x^2+1\right)\,{\left(x^4-x^3\right)}^{1/4}}{2\,x^2+x-1} \,d x","Not used",1,"int(((x^2 + 1)*(x^4 - x^3)^(1/4))/(x + 2*x^2 - 1), x)","F"
2624,0,-1,230,0.000000,"\text{Not used}","int(((a*x^4 + b*x^2)^(1/4)*(b + a*x^4 + x^8))/(b + a*x^4),x)","\int \frac{{\left(a\,x^4+b\,x^2\right)}^{1/4}\,\left(x^8+a\,x^4+b\right)}{a\,x^4+b} \,d x","Not used",1,"int(((a*x^4 + b*x^2)^(1/4)*(b + a*x^4 + x^8))/(b + a*x^4), x)","F"
2625,0,-1,230,0.000000,"\text{Not used}","int(((a*x^4 + b*x^2)^(1/4)*(b + a*x^4 + x^8))/(b + a*x^4),x)","\int \frac{{\left(a\,x^4+b\,x^2\right)}^{1/4}\,\left(x^8+a\,x^4+b\right)}{a\,x^4+b} \,d x","Not used",1,"int(((a*x^4 + b*x^2)^(1/4)*(b + a*x^4 + x^8))/(b + a*x^4), x)","F"
2626,0,-1,231,0.000000,"\text{Not used}","int(1/((x^2 - 1)^(1/3)*(x^2 + 3)),x)","\int \frac{1}{{\left(x^2-1\right)}^{1/3}\,\left(x^2+3\right)} \,d x","Not used",1,"int(1/((x^2 - 1)^(1/3)*(x^2 + 3)), x)","F"
2627,0,-1,231,0.000000,"\text{Not used}","int((x + 1)/((1 - x^3)^(1/3)*(3*x + x^2 + 1)),x)","\int \frac{x+1}{{\left(1-x^3\right)}^{1/3}\,\left(x^2+3\,x+1\right)} \,d x","Not used",1,"int((x + 1)/((1 - x^3)^(1/3)*(3*x + x^2 + 1)), x)","F"
2628,0,-1,231,0.000000,"\text{Not used}","int((4*k^2*x^3 - 2*x*(k^2 + 1) - 3*k + k^3*x^4 + k*x^2*(k^2 + 1))/(((x^2 - 1)*(k^2*x^2 - 1))^(2/3)*(d + x^2*(d*k^2 + 1) - k*x^3 + k*x*(2*d + 1) - 1)),x)","\int \frac{4\,k^2\,x^3-2\,x\,\left(k^2+1\right)-3\,k+k^3\,x^4+k\,x^2\,\left(k^2+1\right)}{{\left(\left(x^2-1\right)\,\left(k^2\,x^2-1\right)\right)}^{2/3}\,\left(-k\,x^3+\left(d\,k^2+1\right)\,x^2+k\,\left(2\,d+1\right)\,x+d-1\right)} \,d x","Not used",1,"int((4*k^2*x^3 - 2*x*(k^2 + 1) - 3*k + k^3*x^4 + k*x^2*(k^2 + 1))/(((x^2 - 1)*(k^2*x^2 - 1))^(2/3)*(d + x^2*(d*k^2 + 1) - k*x^3 + k*x*(2*d + 1) - 1)), x)","F"
2629,0,-1,231,0.000000,"\text{Not used}","int(-((x^4 - x)^(1/2)*(b + a*x^6))/(d - c*x^6),x)","\int -\frac{\sqrt{x^4-x}\,\left(a\,x^6+b\right)}{d-c\,x^6} \,d x","Not used",1,"int(-((x^4 - x)^(1/2)*(b + a*x^6))/(d - c*x^6), x)","F"
2630,0,-1,232,0.000000,"\text{Not used}","int((x^2*(2*a - b) + a^2*b - 2*a^2*x)/((x*(a - x)*(b - x))^(2/3)*(a^2*d + x*(b - 2*a*d) + x^2*(d - 1))),x)","\int \frac{x^2\,\left(2\,a-b\right)+a^2\,b-2\,a^2\,x}{{\left(x\,\left(a-x\right)\,\left(b-x\right)\right)}^{2/3}\,\left(a^2\,d+x\,\left(b-2\,a\,d\right)+x^2\,\left(d-1\right)\right)} \,d x","Not used",1,"int((x^2*(2*a - b) + a^2*b - 2*a^2*x)/((x*(a - x)*(b - x))^(2/3)*(a^2*d + x*(b - 2*a*d) + x^2*(d - 1))), x)","F"
2631,0,-1,232,0.000000,"\text{Not used}","int(-(x^4 - b*x^2*(2*a + b) + 2*a*b^2*x)/((-x*(a - x)*(b - x)^2)^(2/3)*(x^2*(a + 2*b + d) + a*b^2 - x^3 - b*x*(2*a + b))),x)","\int -\frac{x^4-b\,x^2\,\left(2\,a+b\right)+2\,a\,b^2\,x}{{\left(-x\,\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{2/3}\,\left(x^2\,\left(a+2\,b+d\right)+a\,b^2-x^3-b\,x\,\left(2\,a+b\right)\right)} \,d x","Not used",1,"int(-(x^4 - b*x^2*(2*a + b) + 2*a*b^2*x)/((-x*(a - x)*(b - x)^2)^(2/3)*(x^2*(a + 2*b + d) + a*b^2 - x^3 - b*x*(2*a + b))), x)","F"
2632,0,-1,232,0.000000,"\text{Not used}","int((2*x*(k^2 + 1) - 3*k - 4*k^2*x^3 + k^3*x^4 + k*x^2*(k^2 + 1))/(((x^2 - 1)*(k^2*x^2 - 1))^(2/3)*(d + x^2*(d*k^2 + 1) + k*x^3 - k*x*(2*d + 1) - 1)),x)","\int \frac{2\,x\,\left(k^2+1\right)-3\,k-4\,k^2\,x^3+k^3\,x^4+k\,x^2\,\left(k^2+1\right)}{{\left(\left(x^2-1\right)\,\left(k^2\,x^2-1\right)\right)}^{2/3}\,\left(k\,x^3+\left(d\,k^2+1\right)\,x^2-k\,\left(2\,d+1\right)\,x+d-1\right)} \,d x","Not used",1,"int((2*x*(k^2 + 1) - 3*k - 4*k^2*x^3 + k^3*x^4 + k*x^2*(k^2 + 1))/(((x^2 - 1)*(k^2*x^2 - 1))^(2/3)*(d + x^2*(d*k^2 + 1) + k*x^3 - k*x*(2*d + 1) - 1)), x)","F"
2633,0,-1,232,0.000000,"\text{Not used}","int(-(((3*x - 1)*(4*x + 3))^(3/2) - 1)/(((3*x - 1)*(4*x + 3))^(3/2) + 1),x)","\int -\frac{{\left(\left(3\,x-1\right)\,\left(4\,x+3\right)\right)}^{3/2}-1}{{\left(\left(3\,x-1\right)\,\left(4\,x+3\right)\right)}^{3/2}+1} \,d x","Not used",1,"int(-(((3*x - 1)*(4*x + 3))^(3/2) - 1)/(((3*x - 1)*(4*x + 3))^(3/2) + 1), x)","F"
2634,0,-1,232,0.000000,"\text{Not used}","int(1/((a^2*x^2 - b*x)^(3/2)*(a*x^2 + x*(a^2*x^2 - b*x)^(1/2))^(3/2)),x)","\int \frac{1}{{\left(a^2\,x^2-b\,x\right)}^{3/2}\,{\left(a\,x^2+x\,\sqrt{a^2\,x^2-b\,x}\right)}^{3/2}} \,d x","Not used",1,"int(1/((a^2*x^2 - b*x)^(3/2)*(a*x^2 + x*(a^2*x^2 - b*x)^(1/2))^(3/2)), x)","F"
2635,0,-1,233,0.000000,"\text{Not used}","int(1/(x*((x - 1)*(q - 2*q*x + x^2))^(1/3)),x)","\int \frac{1}{x\,{\left(\left(x-1\right)\,\left(x^2-2\,q\,x+q\right)\right)}^{1/3}} \,d x","Not used",1,"int(1/(x*((x - 1)*(q - 2*q*x + x^2))^(1/3)), x)","F"
2636,0,-1,233,0.000000,"\text{Not used}","int((a*b - x*(2*a - b))/((x*(a - x)*(b - x))^(1/3)*(a^2*d + x*(b - 2*a*d) + x^2*(d - 1))),x)","\int \frac{a\,b-x\,\left(2\,a-b\right)}{{\left(x\,\left(a-x\right)\,\left(b-x\right)\right)}^{1/3}\,\left(a^2\,d+x\,\left(b-2\,a\,d\right)+x^2\,\left(d-1\right)\right)} \,d x","Not used",1,"int((a*b - x*(2*a - b))/((x*(a - x)*(b - x))^(1/3)*(a^2*d + x*(b - 2*a*d) + x^2*(d - 1))), x)","F"
2637,0,-1,233,0.000000,"\text{Not used}","int(-(x^4 + 1)/((x^4 - x^2)^(1/4)*(x^2 - x^4 + 1)),x)","\int -\frac{x^4+1}{{\left(x^4-x^2\right)}^{1/4}\,\left(-x^4+x^2+1\right)} \,d x","Not used",1,"int(-(x^4 + 1)/((x^4 - x^2)^(1/4)*(x^2 - x^4 + 1)), x)","F"
2638,0,-1,233,0.000000,"\text{Not used}","int((x^3*((a^2*x^2)/b^2 - a/b^2)^(1/2))/(a*x^2 + b*x*((a^2*x^2)/b^2 - a/b^2)^(1/2))^(1/2),x)","\int \frac{x^3\,\sqrt{\frac{a^2\,x^2}{b^2}-\frac{a}{b^2}}}{\sqrt{a\,x^2+b\,x\,\sqrt{\frac{a^2\,x^2}{b^2}-\frac{a}{b^2}}}} \,d x","Not used",1,"int((x^3*((a^2*x^2)/b^2 - a/b^2)^(1/2))/(a*x^2 + b*x*((a^2*x^2)/b^2 - a/b^2)^(1/2))^(1/2), x)","F"
2639,0,-1,234,0.000000,"\text{Not used}","int(((x^3 - x)^(1/3)*(x^4 - 2))/(x^4*(x^2 + 1)),x)","\int \frac{{\left(x^3-x\right)}^{1/3}\,\left(x^4-2\right)}{x^4\,\left(x^2+1\right)} \,d x","Not used",1,"int(((x^3 - x)^(1/3)*(x^4 - 2))/(x^4*(x^2 + 1)), x)","F"
2640,0,-1,234,0.000000,"\text{Not used}","int((2*a*p*x^5 - 4*b*p*x^3 + 6*a*q*x)/((q + p*x^4)^(1/3)*(c*q + b^3*d + x^4*(c*p + 3*a^2*b*d) + a^3*d*x^6 + 3*a*b^2*d*x^2)),x)","\int \frac{2\,a\,p\,x^5-4\,b\,p\,x^3+6\,a\,q\,x}{{\left(p\,x^4+q\right)}^{1/3}\,\left(c\,q+b^3\,d+x^4\,\left(3\,b\,d\,a^2+c\,p\right)+a^3\,d\,x^6+3\,a\,b^2\,d\,x^2\right)} \,d x","Not used",1,"int((2*a*p*x^5 - 4*b*p*x^3 + 6*a*q*x)/((q + p*x^4)^(1/3)*(c*q + b^3*d + x^4*(c*p + 3*a^2*b*d) + a^3*d*x^6 + 3*a*b^2*d*x^2)), x)","F"
2641,0,-1,235,0.000000,"\text{Not used}","int(-((b^2 - 2*b*x + x^2)*(x^2*(2*a + 3*b) + a^2*b - 2*x^3 - 4*a*b*x))/((-x*(a - x)^2*(b - x)^3)^(3/4)*(b*d - 2*a*x^2 - x*(d - a^2) + x^3)),x)","\int -\frac{\left(b^2-2\,b\,x+x^2\right)\,\left(x^2\,\left(2\,a+3\,b\right)+a^2\,b-2\,x^3-4\,a\,b\,x\right)}{{\left(-x\,{\left(a-x\right)}^2\,{\left(b-x\right)}^3\right)}^{3/4}\,\left(x^3-2\,a\,x^2+\left(a^2-d\right)\,x+b\,d\right)} \,d x","Not used",1,"int(-((b^2 - 2*b*x + x^2)*(x^2*(2*a + 3*b) + a^2*b - 2*x^3 - 4*a*b*x))/((-x*(a - x)^2*(b - x)^3)^(3/4)*(b*d - 2*a*x^2 - x*(d - a^2) + x^3)), x)","F"
2642,0,-1,235,0.000000,"\text{Not used}","int(-((x*(k + 1) - 2)*(x^2*(4*k + k^2 + 1) - 2*x*(k + 1) + x^4*(a + k^2) - 2*x^3*(k + k^2) + 1))/(x^3*(x*(k*x - 1)*(x - 1))^(2/3)*(x*(k + 1) + x^2*(b - k) - 1)),x)","\int -\frac{\left(x\,\left(k+1\right)-2\right)\,\left(x^2\,\left(k^2+4\,k+1\right)-2\,x\,\left(k+1\right)+x^4\,\left(k^2+a\right)-2\,x^3\,\left(k^2+k\right)+1\right)}{x^3\,{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{2/3}\,\left(\left(b-k\right)\,x^2+\left(k+1\right)\,x-1\right)} \,d x","Not used",1,"int(-((x*(k + 1) - 2)*(x^2*(4*k + k^2 + 1) - 2*x*(k + 1) + x^4*(a + k^2) - 2*x^3*(k + k^2) + 1))/(x^3*(x*(k*x - 1)*(x - 1))^(2/3)*(x*(k + 1) + x^2*(b - k) - 1)), x)","F"
2643,0,-1,235,0.000000,"\text{Not used}","int(((x^3 + 1)*(x^3 - x^2)^(1/3))/(x^6 + 1),x)","\int \frac{\left(x^3+1\right)\,{\left(x^3-x^2\right)}^{1/3}}{x^6+1} \,d x","Not used",1,"int(((x^3 + 1)*(x^3 - x^2)^(1/3))/(x^6 + 1), x)","F"
2644,0,-1,235,0.000000,"\text{Not used}","int(((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)/((d + c*x^2)*(b + a^2*x^4)^(1/2)),x)","\int \frac{\sqrt{\sqrt{a^2\,x^4+b}+a\,x^2}}{\left(c\,x^2+d\right)\,\sqrt{a^2\,x^4+b}} \,d x","Not used",1,"int(((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)/((d + c*x^2)*(b + a^2*x^4)^(1/2)), x)","F"
2645,0,-1,235,0.000000,"\text{Not used}","int(((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)/((d + c*x^2)*(b + a^2*x^4)^(1/2)),x)","\int \frac{\sqrt{\sqrt{a^2\,x^4+b}+a\,x^2}}{\left(c\,x^2+d\right)\,\sqrt{a^2\,x^4+b}} \,d x","Not used",1,"int(((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)/((d + c*x^2)*(b + a^2*x^4)^(1/2)), x)","F"
2646,0,-1,235,0.000000,"\text{Not used}","int((((b + a^2*x^2)^(1/2) + a*x)^(1/2)*(c + ((b + a^2*x^2)^(1/2) + a*x)^(1/2))^(1/2))/(b + a^2*x^2)^(3/2),x)","\int \frac{\sqrt{\sqrt{a^2\,x^2+b}+a\,x}\,\sqrt{c+\sqrt{\sqrt{a^2\,x^2+b}+a\,x}}}{{\left(a^2\,x^2+b\right)}^{3/2}} \,d x","Not used",1,"int((((b + a^2*x^2)^(1/2) + a*x)^(1/2)*(c + ((b + a^2*x^2)^(1/2) + a*x)^(1/2))^(1/2))/(b + a^2*x^2)^(3/2), x)","F"
2647,0,-1,235,0.000000,"\text{Not used}","int((((b + a^2*x^2)^(1/2) + a*x)^(1/2)*(c + ((b + a^2*x^2)^(1/2) + a*x)^(1/2))^(1/2))/(b + a^2*x^2)^(3/2),x)","\int \frac{\sqrt{\sqrt{a^2\,x^2+b}+a\,x}\,\sqrt{c+\sqrt{\sqrt{a^2\,x^2+b}+a\,x}}}{{\left(a^2\,x^2+b\right)}^{3/2}} \,d x","Not used",1,"int((((b + a^2*x^2)^(1/2) + a*x)^(1/2)*(c + ((b + a^2*x^2)^(1/2) + a*x)^(1/2))^(1/2))/(b + a^2*x^2)^(3/2), x)","F"
2648,0,-1,236,0.000000,"\text{Not used}","int((k*x^2 + a*k*x + 1)/((k*x^2 - 1)*((x^2 - 1)*(k^2*x^2 - 1))^(1/2)),x)","\int \frac{k\,x^2+a\,k\,x+1}{\left(k\,x^2-1\right)\,\sqrt{\left(x^2-1\right)\,\left(k^2\,x^2-1\right)}} \,d x","Not used",1,"int((k*x^2 + a*k*x + 1)/((k*x^2 - 1)*((x^2 - 1)*(k^2*x^2 - 1))^(1/2)), x)","F"
2649,0,-1,236,0.000000,"\text{Not used}","int((x*(k^2 - 2) - 3*k + k^2*x^3 + 3*k*x^2)/(((x^2 - 1)*(k^2*x^2 - 1))^(1/3)*(d + x^2*(d*k^2 + 1) - k*x^3 + k*x*(2*d + 1) - 1)),x)","\int \frac{x\,\left(k^2-2\right)-3\,k+k^2\,x^3+3\,k\,x^2}{{\left(\left(x^2-1\right)\,\left(k^2\,x^2-1\right)\right)}^{1/3}\,\left(-k\,x^3+\left(d\,k^2+1\right)\,x^2+k\,\left(2\,d+1\right)\,x+d-1\right)} \,d x","Not used",1,"int((x*(k^2 - 2) - 3*k + k^2*x^3 + 3*k*x^2)/(((x^2 - 1)*(k^2*x^2 - 1))^(1/3)*(d + x^2*(d*k^2 + 1) - k*x^3 + k*x*(2*d + 1) - 1)), x)","F"
2650,0,-1,236,0.000000,"\text{Not used}","int((3*k + x*(k^2 - 2) + k^2*x^3 - 3*k*x^2)/(((x^2 - 1)*(k^2*x^2 - 1))^(1/3)*(d + x^2*(d*k^2 + 1) + k*x^3 - k*x*(2*d + 1) - 1)),x)","\int \frac{3\,k+x\,\left(k^2-2\right)+k^2\,x^3-3\,k\,x^2}{{\left(\left(x^2-1\right)\,\left(k^2\,x^2-1\right)\right)}^{1/3}\,\left(k\,x^3+\left(d\,k^2+1\right)\,x^2-k\,\left(2\,d+1\right)\,x+d-1\right)} \,d x","Not used",1,"int((3*k + x*(k^2 - 2) + k^2*x^3 - 3*k*x^2)/(((x^2 - 1)*(k^2*x^2 - 1))^(1/3)*(d + x^2*(d*k^2 + 1) + k*x^3 - k*x*(2*d + 1) - 1)), x)","F"
2651,0,-1,236,0.000000,"\text{Not used}","int((a*x^4 - b*x^3)^(1/4)/(d + c*x^2),x)","\int \frac{{\left(a\,x^4-b\,x^3\right)}^{1/4}}{c\,x^2+d} \,d x","Not used",1,"int((a*x^4 - b*x^3)^(1/4)/(d + c*x^2), x)","F"
2652,0,-1,236,0.000000,"\text{Not used}","int((a*x^4 - b*x^3)^(1/4)/(d + c*x^2),x)","\int \frac{{\left(a\,x^4-b\,x^3\right)}^{1/4}}{c\,x^2+d} \,d x","Not used",1,"int((a*x^4 - b*x^3)^(1/4)/(d + c*x^2), x)","F"
2653,0,-1,236,0.000000,"\text{Not used}","int((d + c*x^4)/(x*(a*x + (b^2 + a^2*x^2)^(1/2))^(1/2)),x)","\int \frac{c\,x^4+d}{x\,\sqrt{a\,x+\sqrt{a^2\,x^2+b^2}}} \,d x","Not used",1,"int((d + c*x^4)/(x*(a*x + (b^2 + a^2*x^2)^(1/2))^(1/2)), x)","F"
2654,0,-1,236,0.000000,"\text{Not used}","int((((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^2 + 1)^(1/2))/(x + (x^2 + 1)^(1/2))^(1/2),x)","\int \frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}\,\sqrt{x^2+1}}{\sqrt{x+\sqrt{x^2+1}}} \,d x","Not used",1,"int((((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^2 + 1)^(1/2))/(x + (x^2 + 1)^(1/2))^(1/2), x)","F"
2655,0,-1,236,0.000000,"\text{Not used}","int(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^2 + 1)^(1/2)*(x + (x^2 + 1)^(1/2))^(1/2),x)","\int \sqrt{\sqrt{x+\sqrt{x^2+1}}+1}\,\sqrt{x^2+1}\,\sqrt{x+\sqrt{x^2+1}} \,d x","Not used",1,"int(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^2 + 1)^(1/2)*(x + (x^2 + 1)^(1/2))^(1/2), x)","F"
2656,0,-1,237,0.000000,"\text{Not used}","int(-(x^4 - x^3)^(1/4)/(x*(b - a*x)),x)","\int -\frac{{\left(x^4-x^3\right)}^{1/4}}{x\,\left(b-a\,x\right)} \,d x","Not used",1,"int(-(x^4 - x^3)^(1/4)/(x*(b - a*x)), x)","F"
2657,0,-1,237,0.000000,"\text{Not used}","int(-(x^3*(2*a*b - x*(a + b)))/((x*(a - x)*(b - x))^(2/3)*(2*x^3*(a + b) - x^2*(4*a*b + a^2 + b^2) - a^2*b^2 + x^4*(d - 1) + 2*a*b*x*(a + b))),x)","-\int \frac{x^3\,\left(2\,a\,b-x\,\left(a+b\right)\right)}{{\left(x\,\left(a-x\right)\,\left(b-x\right)\right)}^{2/3}\,\left(2\,x^3\,\left(a+b\right)-x^2\,\left(a^2+4\,a\,b+b^2\right)-a^2\,b^2+x^4\,\left(d-1\right)+2\,a\,b\,x\,\left(a+b\right)\right)} \,d x","Not used",1,"-int((x^3*(2*a*b - x*(a + b)))/((x*(a - x)*(b - x))^(2/3)*(2*x^3*(a + b) - x^2*(4*a*b + a^2 + b^2) - a^2*b^2 + x^4*(d - 1) + 2*a*b*x*(a + b))), x)","F"
2658,0,-1,237,0.000000,"\text{Not used}","int((2*x^6 + 1)/((x^6 - 1)*(x + x^3)^(1/3)),x)","\int \frac{2\,x^6+1}{\left(x^6-1\right)\,{\left(x^3+x\right)}^{1/3}} \,d x","Not used",1,"int((2*x^6 + 1)/((x^6 - 1)*(x + x^3)^(1/3)), x)","F"
2659,0,-1,237,0.000000,"\text{Not used}","int((2*x^6 + 1)/((x^6 - 1)*(x + x^3)^(1/3)),x)","\int \frac{2\,x^6+1}{\left(x^6-1\right)\,{\left(x^3+x\right)}^{1/3}} \,d x","Not used",1,"int((2*x^6 + 1)/((x^6 - 1)*(x + x^3)^(1/3)), x)","F"
2660,0,-1,238,0.000000,"\text{Not used}","int(((b + a*x^3)^(1/3)*(4*b - a*x^3))/(x^5*(2*b - a*x^3)),x)","\int \frac{{\left(a\,x^3+b\right)}^{1/3}\,\left(4\,b-a\,x^3\right)}{x^5\,\left(2\,b-a\,x^3\right)} \,d x","Not used",1,"int(((b + a*x^3)^(1/3)*(4*b - a*x^3))/(x^5*(2*b - a*x^3)), x)","F"
2661,0,-1,238,0.000000,"\text{Not used}","int((4*a*x^3 - x^4 - a*x^2*(3*a + 2*b) + 2*a^2*b*x)/((x^2*(a - x)*(b - x))^(2/3)*(x^2*(b + d) + a^2*d - x^3 - 2*a*d*x)),x)","\int \frac{4\,a\,x^3-x^4-a\,x^2\,\left(3\,a+2\,b\right)+2\,a^2\,b\,x}{{\left(x^2\,\left(a-x\right)\,\left(b-x\right)\right)}^{2/3}\,\left(d\,a^2-2\,d\,a\,x-x^3+\left(b+d\right)\,x^2\right)} \,d x","Not used",1,"int((4*a*x^3 - x^4 - a*x^2*(3*a + 2*b) + 2*a^2*b*x)/((x^2*(a - x)*(b - x))^(2/3)*(x^2*(b + d) + a^2*d - x^3 - 2*a*d*x)), x)","F"
2662,0,-1,238,0.000000,"\text{Not used}","int(-((x*(k + 1) - 2)*(x^2*(4*k + k^2 + 1) - 2*x*(k + 1) + x^4*(a + k^2) - 2*x^3*(k + k^2) + 1))/(x^4*(x*(k*x - 1)*(x - 1))^(1/3)*(x*(k + 1) + x^2*(b - k) - 1)),x)","\int -\frac{\left(x\,\left(k+1\right)-2\right)\,\left(x^2\,\left(k^2+4\,k+1\right)-2\,x\,\left(k+1\right)+x^4\,\left(k^2+a\right)-2\,x^3\,\left(k^2+k\right)+1\right)}{x^4\,{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{1/3}\,\left(\left(b-k\right)\,x^2+\left(k+1\right)\,x-1\right)} \,d x","Not used",1,"int(-((x*(k + 1) - 2)*(x^2*(4*k + k^2 + 1) - 2*x*(k + 1) + x^4*(a + k^2) - 2*x^3*(k + k^2) + 1))/(x^4*(x*(k*x - 1)*(x - 1))^(1/3)*(x*(k + 1) + x^2*(b - k) - 1)), x)","F"
2663,0,-1,238,0.000000,"\text{Not used}","int((x^6*(x + x^4)^(1/2))/(b + a*x^6),x)","\int \frac{x^6\,\sqrt{x^4+x}}{a\,x^6+b} \,d x","Not used",1,"int((x^6*(x + x^4)^(1/2))/(b + a*x^6), x)","F"
2664,0,-1,238,0.000000,"\text{Not used}","int(((a*x^4 + b*x^2)^(1/4)*(b + a*x^4 - x^8))/(b - a*x^4),x)","\int \frac{{\left(a\,x^4+b\,x^2\right)}^{1/4}\,\left(-x^8+a\,x^4+b\right)}{b-a\,x^4} \,d x","Not used",1,"int(((a*x^4 + b*x^2)^(1/4)*(b + a*x^4 - x^8))/(b - a*x^4), x)","F"
2665,0,-1,238,0.000000,"\text{Not used}","int(((a*x^4 + b*x^2)^(1/4)*(b + a*x^4 - x^8))/(b - a*x^4),x)","\int \frac{{\left(a\,x^4+b\,x^2\right)}^{1/4}\,\left(-x^8+a\,x^4+b\right)}{b-a\,x^4} \,d x","Not used",1,"int(((a*x^4 + b*x^2)^(1/4)*(b + a*x^4 - x^8))/(b - a*x^4), x)","F"
2666,0,-1,238,0.000000,"\text{Not used}","int(((2*x^4 + 5*x^7 - 2)*(x - x^3 + x^5 + x^8)^(1/3))/(x^2 + 2*x^4 + 2*x^7 + 2)^2,x)","\int \frac{\left(5\,x^7+2\,x^4-2\right)\,{\left(x^8+x^5-x^3+x\right)}^{1/3}}{{\left(2\,x^7+2\,x^4+x^2+2\right)}^2} \,d x","Not used",1,"int(((2*x^4 + 5*x^7 - 2)*(x - x^3 + x^5 + x^8)^(1/3))/(x^2 + 2*x^4 + 2*x^7 + 2)^2, x)","F"
2667,-1,-1,239,0.000000,"\text{Not used}","int(-(b^5 - a^5*x^5)/((b^5 + a^5*x^5)*(b^2*x + a^2*x^3)^(1/2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
2668,-1,-1,239,0.000000,"\text{Not used}","int(-(b^5 + a^5*x^5)/((b^5 - a^5*x^5)*(b^2*x + a^2*x^3)^(1/2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
2669,0,-1,239,0.000000,"\text{Not used}","int((2*b + a*x^4 - 2*x^8)/(x^4*(a*x^4 - b)^(1/4)*(b - 2*a*x^4)),x)","\int \frac{-2\,x^8+a\,x^4+2\,b}{x^4\,{\left(a\,x^4-b\right)}^{1/4}\,\left(b-2\,a\,x^4\right)} \,d x","Not used",1,"int((2*b + a*x^4 - 2*x^8)/(x^4*(a*x^4 - b)^(1/4)*(b - 2*a*x^4)), x)","F"
2670,0,-1,239,0.000000,"\text{Not used}","int((x^16 - 1)/((x^4 - 1)^(1/2)*(x^8 + x^16 + 1)),x)","\int \frac{x^{16}-1}{\sqrt{x^4-1}\,\left(x^{16}+x^8+1\right)} \,d x","Not used",1,"int((x^16 - 1)/((x^4 - 1)^(1/2)*(x^8 + x^16 + 1)), x)","F"
2671,0,-1,241,0.000000,"\text{Not used}","int(-(x^3 - 3*a*x^2 + 2*a*b*x)/((x^2*(a - x)*(b - x))^(1/3)*(x^2*(b + d) + a^2*d - x^3 - 2*a*d*x)),x)","\int -\frac{x^3-3\,a\,x^2+2\,a\,b\,x}{{\left(x^2\,\left(a-x\right)\,\left(b-x\right)\right)}^{1/3}\,\left(d\,a^2-2\,d\,a\,x-x^3+\left(b+d\right)\,x^2\right)} \,d x","Not used",1,"int(-(x^3 - 3*a*x^2 + 2*a*b*x)/((x^2*(a - x)*(b - x))^(1/3)*(x^2*(b + d) + a^2*d - x^3 - 2*a*d*x)), x)","F"
2672,0,-1,241,0.000000,"\text{Not used}","int(-((d + c*x^2)*(a*x^4 + b*x^3)^(1/4))/(x^2*(d - c*x^2)),x)","-\int \frac{\left(c\,x^2+d\right)\,{\left(a\,x^4+b\,x^3\right)}^{1/4}}{x^2\,\left(d-c\,x^2\right)} \,d x","Not used",1,"-int(((d + c*x^2)*(a*x^4 + b*x^3)^(1/4))/(x^2*(d - c*x^2)), x)","F"
2673,0,-1,241,0.000000,"\text{Not used}","int(-((d + c*x^2)*(a*x^4 + b*x^3)^(1/4))/(x^2*(d - c*x^2)),x)","-\int \frac{\left(c\,x^2+d\right)\,{\left(a\,x^4+b\,x^3\right)}^{1/4}}{x^2\,\left(d-c\,x^2\right)} \,d x","Not used",1,"-int(((d + c*x^2)*(a*x^4 + b*x^3)^(1/4))/(x^2*(d - c*x^2)), x)","F"
2674,0,-1,241,0.000000,"\text{Not used}","int((x^4 - 1)/((x^4 + 1)*(a + b*x + a*x^4 + b*x^3 + c*x^2)^(1/2)),x)","\int \frac{x^4-1}{\left(x^4+1\right)\,\sqrt{a\,x^4+b\,x^3+c\,x^2+b\,x+a}} \,d x","Not used",1,"int((x^4 - 1)/((x^4 + 1)*(a + b*x + a*x^4 + b*x^3 + c*x^2)^(1/2)), x)","F"
2675,0,-1,241,0.000000,"\text{Not used}","int((x*(k^2 - 2) + k^2*x^3)/(((x^2 - 1)*(k^2*x^2 - 1))^(1/3)*(d - x^2*(2*d - k^2) + d*x^4 - 1)),x)","\int \frac{x\,\left(k^2-2\right)+k^2\,x^3}{{\left(\left(x^2-1\right)\,\left(k^2\,x^2-1\right)\right)}^{1/3}\,\left(d\,x^4+\left(k^2-2\,d\right)\,x^2+d-1\right)} \,d x","Not used",1,"int((x*(k^2 - 2) + k^2*x^3)/(((x^2 - 1)*(k^2*x^2 - 1))^(1/3)*(d - x^2*(2*d - k^2) + d*x^4 - 1)), x)","F"
2676,0,-1,241,0.000000,"\text{Not used}","int((k^4*x^5 - 2*k^4*x^3 + x*(2*k^2 - 1))/(((x^2 - 1)*(k^2*x^2 - 1))^(2/3)*(k^4*x^4 - d + x^2*(d - 2*k^2) + 1)),x)","\int \frac{k^4\,x^5-2\,k^4\,x^3+x\,\left(2\,k^2-1\right)}{{\left(\left(x^2-1\right)\,\left(k^2\,x^2-1\right)\right)}^{2/3}\,\left(k^4\,x^4-d+x^2\,\left(d-2\,k^2\right)+1\right)} \,d x","Not used",1,"int((k^4*x^5 - 2*k^4*x^3 + x*(2*k^2 - 1))/(((x^2 - 1)*(k^2*x^2 - 1))^(2/3)*(k^4*x^4 - d + x^2*(d - 2*k^2) + 1)), x)","F"
2677,0,-1,241,0.000000,"\text{Not used}","int(((x^6 - 2)*(x^6 - x^4 + 1))/((x^6 + 1)^(1/4)*(2*x^6 + x^8 + x^12 + 1)),x)","\int \frac{\left(x^6-2\right)\,\left(x^6-x^4+1\right)}{{\left(x^6+1\right)}^{1/4}\,\left(x^{12}+x^8+2\,x^6+1\right)} \,d x","Not used",1,"int(((x^6 - 2)*(x^6 - x^4 + 1))/((x^6 + 1)^(1/4)*(2*x^6 + x^8 + x^12 + 1)), x)","F"
2678,0,-1,242,0.000000,"\text{Not used}","int(-((q - 2*p*x^3)*(a*q + b*x + a*p*x^3)*(p^2*x^6 + q^2 - 2*p*q*x^2 + 2*p*q*x^3)^(1/2))/(x^3*(c*q + d*x + c*p*x^3)),x)","-\int \frac{\left(q-2\,p\,x^3\right)\,\left(a\,p\,x^3+b\,x+a\,q\right)\,\sqrt{p^2\,x^6+2\,p\,q\,x^3-2\,p\,q\,x^2+q^2}}{x^3\,\left(c\,p\,x^3+d\,x+c\,q\right)} \,d x","Not used",1,"-int(((q - 2*p*x^3)*(a*q + b*x + a*p*x^3)*(p^2*x^6 + q^2 - 2*p*q*x^2 + 2*p*q*x^3)^(1/2))/(x^3*(c*q + d*x + c*p*x^3)), x)","F"
2679,0,-1,242,0.000000,"\text{Not used}","int((x^2 - 1)/((x^2 + 1)*((x^4 + 1)^(1/2) + x^2)^(1/2)),x)","\int \frac{x^2-1}{\left(x^2+1\right)\,\sqrt{\sqrt{x^4+1}+x^2}} \,d x","Not used",1,"int((x^2 - 1)/((x^2 + 1)*((x^4 + 1)^(1/2) + x^2)^(1/2)), x)","F"
2680,0,-1,242,0.000000,"\text{Not used}","int(((x^2 - 1)*((x^4 + 1)^(1/2) + x^2)^(1/2))/(x^2 + 1),x)","\int \frac{\left(x^2-1\right)\,\sqrt{\sqrt{x^4+1}+x^2}}{x^2+1} \,d x","Not used",1,"int(((x^2 - 1)*((x^4 + 1)^(1/2) + x^2)^(1/2))/(x^2 + 1), x)","F"
2681,0,-1,242,0.000000,"\text{Not used}","int(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^2 + 1)^(1/2),x)","\int \sqrt{\sqrt{x+\sqrt{x^2+1}}+1}\,\sqrt{x^2+1} \,d x","Not used",1,"int(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^2 + 1)^(1/2), x)","F"
2682,0,-1,243,0.000000,"\text{Not used}","int(-(x*(a - x))/((-x^2*(a - x))^(2/3)*(a^2*d + x^2*(d - 1) - 2*a*d*x)),x)","\int -\frac{x\,\left(a-x\right)}{{\left(-x^2\,\left(a-x\right)\right)}^{2/3}\,\left(d\,a^2-2\,d\,a\,x+\left(d-1\right)\,x^2\right)} \,d x","Not used",1,"int(-(x*(a - x))/((-x^2*(a - x))^(2/3)*(a^2*d + x^2*(d - 1) - 2*a*d*x)), x)","F"
2683,0,-1,243,0.000000,"\text{Not used}","int(x/((-x^2*(a - x))^(1/3)*(a^2*d + x^2*(d - 1) - 2*a*d*x)),x)","\int \frac{x}{{\left(-x^2\,\left(a-x\right)\right)}^{1/3}\,\left(d\,a^2-2\,d\,a\,x+\left(d-1\right)\,x^2\right)} \,d x","Not used",1,"int(x/((-x^2*(a - x))^(1/3)*(a^2*d + x^2*(d - 1) - 2*a*d*x)), x)","F"
2684,0,-1,243,0.000000,"\text{Not used}","int(-(a*x - x^2)/((-x^2*(a - x))^(2/3)*(a^2*d + x^2*(d - 1) - 2*a*d*x)),x)","-\int \frac{a\,x-x^2}{{\left(-x^2\,\left(a-x\right)\right)}^{2/3}\,\left(d\,a^2-2\,d\,a\,x+\left(d-1\right)\,x^2\right)} \,d x","Not used",1,"-int((a*x - x^2)/((-x^2*(a - x))^(2/3)*(a^2*d + x^2*(d - 1) - 2*a*d*x)), x)","F"
2685,0,-1,243,0.000000,"\text{Not used}","int((x - 1)/((x^3 - 1)^(1/3)*(x + 1)),x)","\int \frac{x-1}{{\left(x^3-1\right)}^{1/3}\,\left(x+1\right)} \,d x","Not used",1,"int((x - 1)/((x^3 - 1)^(1/3)*(x + 1)), x)","F"
2686,0,-1,243,0.000000,"\text{Not used}","int(((x^2 + 1)*(x^3 - x^2)^(1/3))/(x^2 - 1),x)","\int \frac{\left(x^2+1\right)\,{\left(x^3-x^2\right)}^{1/3}}{x^2-1} \,d x","Not used",1,"int(((x^2 + 1)*(x^3 - x^2)^(1/3))/(x^2 - 1), x)","F"
2687,0,-1,243,0.000000,"\text{Not used}","int(-(b + a*x^4)/((a*x^4 - b*x^2)^(1/4)*(b + a*x^2 - x^4)),x)","\int -\frac{a\,x^4+b}{{\left(a\,x^4-b\,x^2\right)}^{1/4}\,\left(-x^4+a\,x^2+b\right)} \,d x","Not used",1,"int(-(b + a*x^4)/((a*x^4 - b*x^2)^(1/4)*(b + a*x^2 - x^4)), x)","F"
2688,0,-1,243,0.000000,"\text{Not used}","int(-(b + a*x^4)/((a*x^4 - b*x^2)^(1/4)*(b + a*x^2 - x^4)),x)","\int -\frac{a\,x^4+b}{{\left(a\,x^4-b\,x^2\right)}^{1/4}\,\left(-x^4+a\,x^2+b\right)} \,d x","Not used",1,"int(-(b + a*x^4)/((a*x^4 - b*x^2)^(1/4)*(b + a*x^2 - x^4)), x)","F"
2689,0,-1,243,0.000000,"\text{Not used}","int((k^2*x^3 - x*(2*k^2 - 1))/(((x^2 - 1)*(k^2*x^2 - 1))^(1/3)*(k^4*x^4 - d + x^2*(d - 2*k^2) + 1)),x)","-\int -\frac{k^2\,x^3-x\,\left(2\,k^2-1\right)}{{\left(\left(x^2-1\right)\,\left(k^2\,x^2-1\right)\right)}^{1/3}\,\left(k^4\,x^4-d+x^2\,\left(d-2\,k^2\right)+1\right)} \,d x","Not used",1,"-int(-(k^2*x^3 - x*(2*k^2 - 1))/(((x^2 - 1)*(k^2*x^2 - 1))^(1/3)*(k^4*x^4 - d + x^2*(d - 2*k^2) + 1)), x)","F"
2690,0,-1,243,0.000000,"\text{Not used}","int(-(x*(k^2 - 2) - k^2*x^5 + 2*x^3)/(((x^2 - 1)*(k^2*x^2 - 1))^(2/3)*(d - x^2*(2*d - k^2) + d*x^4 - 1)),x)","-\int \frac{x\,\left(k^2-2\right)-k^2\,x^5+2\,x^3}{{\left(\left(x^2-1\right)\,\left(k^2\,x^2-1\right)\right)}^{2/3}\,\left(d\,x^4+\left(k^2-2\,d\right)\,x^2+d-1\right)} \,d x","Not used",1,"-int((x*(k^2 - 2) - k^2*x^5 + 2*x^3)/(((x^2 - 1)*(k^2*x^2 - 1))^(2/3)*(d - x^2*(2*d - k^2) + d*x^4 - 1)), x)","F"
2691,0,-1,243,0.000000,"\text{Not used}","int(1/(x^4*(b + (a*x^2 + b^2)^(1/2))^(1/2)),x)","\int \frac{1}{x^4\,\sqrt{b+\sqrt{b^2+a\,x^2}}} \,d x","Not used",1,"int(1/(x^4*(b + (a*x^2 + b^2)^(1/2))^(1/2)), x)","F"
2692,0,-1,244,0.000000,"\text{Not used}","int((a*(a - 5*b) + x*(3*a + 5*b) - 4*x^2)/(((a - x)*(b - x))^(1/3)*(5*a*x^4 - b*d + x*(d - 5*a^4) + a^5 - x^5 - 10*a^2*x^3 + 10*a^3*x^2)),x)","\int \frac{-4\,x^2+\left(3\,a+5\,b\right)\,x+a\,\left(a-5\,b\right)}{{\left(\left(a-x\right)\,\left(b-x\right)\right)}^{1/3}\,\left(5\,a\,x^4-b\,d+x\,\left(d-5\,a^4\right)+a^5-x^5-10\,a^2\,x^3+10\,a^3\,x^2\right)} \,d x","Not used",1,"int((a*(a - 5*b) + x*(3*a + 5*b) - 4*x^2)/(((a - x)*(b - x))^(1/3)*(5*a*x^4 - b*d + x*(d - 5*a^4) + a^5 - x^5 - 10*a^2*x^3 + 10*a^3*x^2)), x)","F"
2693,0,-1,244,0.000000,"\text{Not used}","int((x^6*(x^4 - x)^(1/2))/(b + a*x^6),x)","\int \frac{x^6\,\sqrt{x^4-x}}{a\,x^6+b} \,d x","Not used",1,"int((x^6*(x^4 - x)^(1/2))/(b + a*x^6), x)","F"
2694,1,236,244,8.574876,"\text{Not used}","int(-(b^6 + a^6*x^6)/((b^6 - a^6*x^6)*(a^2*x^3 - b^2*x)^(1/2)),x)","\frac{2\,\sqrt{a^2\,x^3-b^2\,x}}{3\,\left(b^2-a^2\,x^2\right)}+\frac{3^{1/4}\,\sqrt{-\frac{1}{27}{}\mathrm{i}}\,\ln\left(\frac{{\left(-1\right)}^{1/4}\,3^{3/4}\,b^2-{\left(-1\right)}^{1/4}\,3^{3/4}\,a^2\,x^2-3\,{\left(-1\right)}^{3/4}\,3^{1/4}\,a\,b\,x+\sqrt{a}\,\sqrt{b}\,\sqrt{a^2\,x^3-b^2\,x}\,6{}\mathrm{i}}{-a^2\,x^2+1{}\mathrm{i}\,\sqrt{3}\,a\,b\,x+b^2}\right)}{\sqrt{a}\,\sqrt{b}}+\frac{3^{1/4}\,\sqrt{\frac{1}{27}{}\mathrm{i}}\,\ln\left(\frac{{\left(-1\right)}^{3/4}\,3^{3/4}\,b^2-{\left(-1\right)}^{3/4}\,3^{3/4}\,a^2\,x^2-3\,{\left(-1\right)}^{1/4}\,3^{1/4}\,a\,b\,x+\sqrt{a}\,\sqrt{b}\,\sqrt{a^2\,x^3-b^2\,x}\,6{}\mathrm{i}}{a^2\,x^2+1{}\mathrm{i}\,\sqrt{3}\,a\,b\,x-b^2}\right)}{\sqrt{a}\,\sqrt{b}}","Not used",1,"(2*(a^2*x^3 - b^2*x)^(1/2))/(3*(b^2 - a^2*x^2)) + (3^(1/4)*(-1i/27)^(1/2)*log((a^(1/2)*b^(1/2)*(a^2*x^3 - b^2*x)^(1/2)*6i + (-1)^(1/4)*3^(3/4)*b^2 - (-1)^(1/4)*3^(3/4)*a^2*x^2 - 3*(-1)^(3/4)*3^(1/4)*a*b*x)/(b^2 - a^2*x^2 + 3^(1/2)*a*b*x*1i)))/(a^(1/2)*b^(1/2)) + (3^(1/4)*(1i/27)^(1/2)*log((a^(1/2)*b^(1/2)*(a^2*x^3 - b^2*x)^(1/2)*6i + (-1)^(3/4)*3^(3/4)*b^2 - (-1)^(3/4)*3^(3/4)*a^2*x^2 - 3*(-1)^(1/4)*3^(1/4)*a*b*x)/(a^2*x^2 - b^2 + 3^(1/2)*a*b*x*1i)))/(a^(1/2)*b^(1/2))","B"
2695,0,-1,245,0.000000,"\text{Not used}","int(-(x^2*(2*a - b) + a^2*b - 2*a^2*x)/((x*(a - x)*(b - x))^(2/3)*(x*(2*a - b*d) - a^2 + x^2*(d - 1))),x)","\int -\frac{x^2\,\left(2\,a-b\right)+a^2\,b-2\,a^2\,x}{{\left(x\,\left(a-x\right)\,\left(b-x\right)\right)}^{2/3}\,\left(x\,\left(2\,a-b\,d\right)-a^2+x^2\,\left(d-1\right)\right)} \,d x","Not used",1,"int(-(x^2*(2*a - b) + a^2*b - 2*a^2*x)/((x*(a - x)*(b - x))^(2/3)*(x*(2*a - b*d) - a^2 + x^2*(d - 1))), x)","F"
2696,-1,-1,245,0.000000,"\text{Not used}","int(-(b^6 + a^6*x^6)/((b^6 - a^6*x^6)*(b^2*x + a^2*x^3)^(1/2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
2697,0,-1,245,0.000000,"\text{Not used}","int(((5*x^7 + 2)*(x^8 - x^3 - x)^(1/3))/((x^7 - 1)*(x^2 + x^7 - 1)),x)","\int \frac{\left(5\,x^7+2\right)\,{\left(x^8-x^3-x\right)}^{1/3}}{\left(x^7-1\right)\,\left(x^7+x^2-1\right)} \,d x","Not used",1,"int(((5*x^7 + 2)*(x^8 - x^3 - x)^(1/3))/((x^7 - 1)*(x^2 + x^7 - 1)), x)","F"
2698,0,-1,245,0.000000,"\text{Not used}","int((x^6*(x^3 - 4))/((x^3 - 1)^(3/4)*(x^6 - 2*x^3 + x^8 + 1)),x)","\int \frac{x^6\,\left(x^3-4\right)}{{\left(x^3-1\right)}^{3/4}\,\left(x^8+x^6-2\,x^3+1\right)} \,d x","Not used",1,"int((x^6*(x^3 - 4))/((x^3 - 1)^(3/4)*(x^6 - 2*x^3 + x^8 + 1)), x)","F"
2699,0,-1,245,0.000000,"\text{Not used}","int((x^6*(x^5 + 4))/((x^5 - 1)^(3/4)*(x^8 - 2*x^5 + x^10 + 1)),x)","\int \frac{x^6\,\left(x^5+4\right)}{{\left(x^5-1\right)}^{3/4}\,\left(x^{10}+x^8-2\,x^5+1\right)} \,d x","Not used",1,"int((x^6*(x^5 + 4))/((x^5 - 1)^(3/4)*(x^8 - 2*x^5 + x^10 + 1)), x)","F"
2700,0,-1,245,0.000000,"\text{Not used}","int(-((g - f*x^2)*(b + a*x)^(1/2))/((c + (b + a*x)^(1/2))^(1/2)*(e + d*x^2)),x)","\int -\frac{\left(g-f\,x^2\right)\,\sqrt{b+a\,x}}{\sqrt{c+\sqrt{b+a\,x}}\,\left(d\,x^2+e\right)} \,d x","Not used",1,"int(-((g - f*x^2)*(b + a*x)^(1/2))/((c + (b + a*x)^(1/2))^(1/2)*(e + d*x^2)), x)","F"
2701,0,-1,245,0.000000,"\text{Not used}","int(((x^4 + 1)^(1/2)*((x^4 + 1)^(1/2) + x^2)^(1/2))/(x^2 + 1),x)","\int \frac{\sqrt{x^4+1}\,\sqrt{\sqrt{x^4+1}+x^2}}{x^2+1} \,d x","Not used",1,"int(((x^4 + 1)^(1/2)*((x^4 + 1)^(1/2) + x^2)^(1/2))/(x^2 + 1), x)","F"
2702,0,-1,245,0.000000,"\text{Not used}","int(-x/(((x + 1)^(1/2) + 1)^(1/2)*(x + 1)^(1/2) - x^2),x)","-\int \frac{x}{\sqrt{\sqrt{x+1}+1}\,\sqrt{x+1}-x^2} \,d x","Not used",1,"-int(x/(((x + 1)^(1/2) + 1)^(1/2)*(x + 1)^(1/2) - x^2), x)","F"
2703,0,-1,245,0.000000,"\text{Not used}","int(-x/(((x + 1)^(1/2) + 1)^(1/2)*(x + 1)^(1/2) - x^2),x)","-\int \frac{x}{\sqrt{\sqrt{x+1}+1}\,\sqrt{x+1}-x^2} \,d x","Not used",1,"-int(x/(((x + 1)^(1/2) + 1)^(1/2)*(x + 1)^(1/2) - x^2), x)","F"
2704,0,-1,246,0.000000,"\text{Not used}","int((((b + a*x)^(1/2) + 1)^(1/2)*(b + a*x)^(1/2))/(x^2*(((b + a*x)^(1/2) + 1)^(1/2) + 1)^(1/2)),x)","\int \frac{\sqrt{\sqrt{b+a\,x}+1}\,\sqrt{b+a\,x}}{x^2\,\sqrt{\sqrt{\sqrt{b+a\,x}+1}+1}} \,d x","Not used",1,"int((((b + a*x)^(1/2) + 1)^(1/2)*(b + a*x)^(1/2))/(x^2*(((b + a*x)^(1/2) + 1)^(1/2) + 1)^(1/2)), x)","F"
2705,0,-1,246,0.000000,"\text{Not used}","int((((b + a*x)^(1/2) + 1)^(1/2)*(b + a*x)^(1/2))/(x^2*(((b + a*x)^(1/2) + 1)^(1/2) + 1)^(1/2)),x)","\int \frac{\sqrt{\sqrt{b+a\,x}+1}\,\sqrt{b+a\,x}}{x^2\,\sqrt{\sqrt{\sqrt{b+a\,x}+1}+1}} \,d x","Not used",1,"int((((b + a*x)^(1/2) + 1)^(1/2)*(b + a*x)^(1/2))/(x^2*(((b + a*x)^(1/2) + 1)^(1/2) + 1)^(1/2)), x)","F"
2706,0,-1,247,0.000000,"\text{Not used}","int((x^4*(a*x^4 + b*x^2)^(1/4))/(b + a*x^2 + x^4),x)","\int \frac{x^4\,{\left(a\,x^4+b\,x^2\right)}^{1/4}}{x^4+a\,x^2+b} \,d x","Not used",1,"int((x^4*(a*x^4 + b*x^2)^(1/4))/(b + a*x^2 + x^4), x)","F"
2707,0,-1,247,0.000000,"\text{Not used}","int((x^4*(a*x^4 + b*x^2)^(1/4))/(b + a*x^2 + x^4),x)","\int \frac{x^4\,{\left(a\,x^4+b\,x^2\right)}^{1/4}}{x^4+a\,x^2+b} \,d x","Not used",1,"int((x^4*(a*x^4 + b*x^2)^(1/4))/(b + a*x^2 + x^4), x)","F"
2708,0,-1,247,0.000000,"\text{Not used}","int(((b + a*x)*(a*p*x^4 - 3*a*q + 4*b*p*x^3))/((q + p*x^4)^(2/3)*(d*q + b^3*c + d*p*x^4 + a^3*c*x^3 + 3*a*b^2*c*x + 3*a^2*b*c*x^2)),x)","\int \frac{\left(b+a\,x\right)\,\left(a\,p\,x^4+4\,b\,p\,x^3-3\,a\,q\right)}{{\left(p\,x^4+q\right)}^{2/3}\,\left(c\,a^3\,x^3+3\,c\,a^2\,b\,x^2+3\,c\,a\,b^2\,x+c\,b^3+d\,p\,x^4+d\,q\right)} \,d x","Not used",1,"int(((b + a*x)*(a*p*x^4 - 3*a*q + 4*b*p*x^3))/((q + p*x^4)^(2/3)*(d*q + b^3*c + d*p*x^4 + a^3*c*x^3 + 3*a*b^2*c*x + 3*a^2*b*c*x^2)), x)","F"
2709,1,274,247,14.496409,"\text{Not used}","int(((b^2 + a^2*x^3)^(1/2)*(c*x^3 + 2*b^2 + a^2*x^6))/(x^7*(b^2 + a^2*x^6)),x)","\frac{a^2\,\ln\left(\frac{{\left(b+\sqrt{a^2\,x^3+b^2}\right)}^3\,\left(b-\sqrt{a^2\,x^3+b^2}\right)}{x^6}\right)\,\left(a^2+4\,b^2-2\,c\right)}{12\,b^3}-\frac{\sqrt{a^2\,x^3+b^2}\,\left(a^2+2\,c\right)}{6\,b^2\,x^3}-\frac{\sqrt{a^2\,x^3+b^2}}{3\,x^6}+\frac{a\,\ln\left(\frac{2\,b^2-a\,b\,1{}\mathrm{i}+a^2\,x^3+\sqrt{b}\,\sqrt{a^2\,x^3+b^2}\,\sqrt{-b+a\,1{}\mathrm{i}}\,2{}\mathrm{i}}{a\,x^3+b\,1{}\mathrm{i}}\right)\,\left(-a\,b+c\,1{}\mathrm{i}\right)\,\sqrt{-b+a\,1{}\mathrm{i}}\,1{}\mathrm{i}}{6\,b^{5/2}}+\frac{a\,\ln\left(\frac{a\,b\,1{}\mathrm{i}+2\,b^2+a^2\,x^3-2\,\sqrt{b}\,\sqrt{a^2\,x^3+b^2}\,\sqrt{b+a\,1{}\mathrm{i}}}{-a\,x^3+b\,1{}\mathrm{i}}\right)\,\left(a\,b+c\,1{}\mathrm{i}\right)\,\sqrt{b+a\,1{}\mathrm{i}}}{6\,b^{5/2}}","Not used",1,"(a^2*log(((b + (b^2 + a^2*x^3)^(1/2))^3*(b - (b^2 + a^2*x^3)^(1/2)))/x^6)*(a^2 - 2*c + 4*b^2))/(12*b^3) - ((b^2 + a^2*x^3)^(1/2)*(2*c + a^2))/(6*b^2*x^3) - (b^2 + a^2*x^3)^(1/2)/(3*x^6) + (a*log((2*b^2 - a*b*1i + a^2*x^3 + b^(1/2)*(b^2 + a^2*x^3)^(1/2)*(a*1i - b)^(1/2)*2i)/(b*1i + a*x^3))*(c*1i - a*b)*(a*1i - b)^(1/2)*1i)/(6*b^(5/2)) + (a*log((a*b*1i + 2*b^2 + a^2*x^3 - 2*b^(1/2)*(b^2 + a^2*x^3)^(1/2)*(a*1i + b)^(1/2))/(b*1i - a*x^3))*(c*1i + a*b)*(a*1i + b)^(1/2))/(6*b^(5/2))","B"
2710,0,-1,248,0.000000,"\text{Not used}","int(((x^4 - 2)*(x^4 + 2)^(1/2))/((x^2 + x^4 + 2)*(2*x^2 + x^4 + 2)),x)","\int \frac{\left(x^4-2\right)\,\sqrt{x^4+2}}{\left(x^4+x^2+2\right)\,\left(x^4+2\,x^2+2\right)} \,d x","Not used",1,"int(((x^4 - 2)*(x^4 + 2)^(1/2))/((x^2 + x^4 + 2)*(2*x^2 + x^4 + 2)), x)","F"
2711,0,-1,248,0.000000,"\text{Not used}","int((x^2*(x^8 - 2)*(x^8 - 2*x^4 + 2)^(1/4))/((x^8 + 2)*(2*x^8 - x^4 + 4)),x)","\int \frac{x^2\,\left(x^8-2\right)\,{\left(x^8-2\,x^4+2\right)}^{1/4}}{\left(x^8+2\right)\,\left(2\,x^8-x^4+4\right)} \,d x","Not used",1,"int((x^2*(x^8 - 2)*(x^8 - 2*x^4 + 2)^(1/4))/((x^8 + 2)*(2*x^8 - x^4 + 4)), x)","F"
2712,0,-1,248,0.000000,"\text{Not used}","int((x^2 - 1)/((x + (x + 1)^(1/2))^(1/2)*(x^2 + 1)),x)","\int \frac{x^2-1}{\sqrt{x+\sqrt{x+1}}\,\left(x^2+1\right)} \,d x","Not used",1,"int((x^2 - 1)/((x + (x + 1)^(1/2))^(1/2)*(x^2 + 1)), x)","F"
2713,0,-1,248,0.000000,"\text{Not used}","int((x^2 - 1)/((x + (x + 1)^(1/2))^(1/2)*(x^2 + 1)),x)","\int \frac{x^2-1}{\sqrt{x+\sqrt{x+1}}\,\left(x^2+1\right)} \,d x","Not used",1,"int((x^2 - 1)/((x + (x + 1)^(1/2))^(1/2)*(x^2 + 1)), x)","F"
2714,0,-1,248,0.000000,"\text{Not used}","int(1/((x*(a^2*x^2 - b)^(1/2) + a*x^2)^(1/3)*(a^2*x^2 - b)^(1/2)),x)","\int \frac{1}{{\left(x\,\sqrt{a^2\,x^2-b}+a\,x^2\right)}^{1/3}\,\sqrt{a^2\,x^2-b}} \,d x","Not used",1,"int(1/((x*(a^2*x^2 - b)^(1/2) + a*x^2)^(1/3)*(a^2*x^2 - b)^(1/2)), x)","F"
2715,0,-1,248,0.000000,"\text{Not used}","int((a*x - b)^(1/2)/((a*x + (a*x - b)^(1/2))^(1/2) + 1),x)","\int \frac{\sqrt{a\,x-b}}{\sqrt{a\,x+\sqrt{a\,x-b}}+1} \,d x","Not used",1,"int((a*x - b)^(1/2)/((a*x + (a*x - b)^(1/2))^(1/2) + 1), x)","F"
2716,1,76,249,1.688371,"\text{Not used}","int(x*(2^(1/2)*x + 2^(1/2) + x^2 + 1)^(1/2),x)","\frac{\left(8\,x^2+2\,\sqrt{2}\,x+8\,\sqrt{2}+2\right)\,\sqrt{x^2+\sqrt{2}\,x+\sqrt{2}+1}}{24}+\ln\left(x+\sqrt{x^2+\sqrt{2}\,x+\sqrt{2}+1}+\frac{\sqrt{2}}{2}\right)\,\left(\frac{\sqrt{2}}{8}-\frac{\sqrt{2}\,\left(\sqrt{2}+1\right)}{4}\right)","Not used",1,"((2*2^(1/2)*x + 8*2^(1/2) + 8*x^2 + 2)*(2^(1/2)*x + 2^(1/2) + x^2 + 1)^(1/2))/24 + log(x + (2^(1/2)*x + 2^(1/2) + x^2 + 1)^(1/2) + 2^(1/2)/2)*(2^(1/2)/8 - (2^(1/2)*(2^(1/2) + 1))/4)","B"
2717,0,-1,249,0.000000,"\text{Not used}","int((a*x - x^2)/((-x^2*(a - x))^(2/3)*(2*a*x - a^2 + x^2*(d - 1))),x)","\int \frac{a\,x-x^2}{{\left(-x^2\,\left(a-x\right)\right)}^{2/3}\,\left(-a^2+2\,a\,x+\left(d-1\right)\,x^2\right)} \,d x","Not used",1,"int((a*x - x^2)/((-x^2*(a - x))^(2/3)*(2*a*x - a^2 + x^2*(d - 1))), x)","F"
2718,0,-1,249,0.000000,"\text{Not used}","int(x/((-x^2*(a - x))^(1/3)*(2*a*x - a^2 + x^2*(d - 1))),x)","\int \frac{x}{{\left(-x^2\,\left(a-x\right)\right)}^{1/3}\,\left(-a^2+2\,a\,x+\left(d-1\right)\,x^2\right)} \,d x","Not used",1,"int(x/((-x^2*(a - x))^(1/3)*(2*a*x - a^2 + x^2*(d - 1))), x)","F"
2719,0,-1,249,0.000000,"\text{Not used}","int((x^4 - a*b*x^2)/((x^2*(a - x)*(b - x))^(2/3)*(x^4 - 2*x^3*(a + b) + a^2*b^2 + x^2*(4*a*b - d + a^2 + b^2) - 2*a*b*x*(a + b))),x)","\int \frac{x^4-a\,b\,x^2}{{\left(x^2\,\left(a-x\right)\,\left(b-x\right)\right)}^{2/3}\,\left(x^4-2\,x^3\,\left(a+b\right)+a^2\,b^2+x^2\,\left(a^2+4\,a\,b+b^2-d\right)-2\,a\,b\,x\,\left(a+b\right)\right)} \,d x","Not used",1,"int((x^4 - a*b*x^2)/((x^2*(a - x)*(b - x))^(2/3)*(x^4 - 2*x^3*(a + b) + a^2*b^2 + x^2*(4*a*b - d + a^2 + b^2) - 2*a*b*x*(a + b))), x)","F"
2720,0,-1,249,0.000000,"\text{Not used}","int(((a*x^2 + 4*a*x^4 + 6*a*x^6 + 4*a*x^8 + a*x^10 + 4*x^2 + 6*x^4 + 4*x^6 + x^8 + 1)/x^2)^(1/4)/x,x)","\int \frac{{\left(\frac{a\,x^2+4\,a\,x^4+6\,a\,x^6+4\,a\,x^8+a\,x^{10}+4\,x^2+6\,x^4+4\,x^6+x^8+1}{x^2}\right)}^{1/4}}{x} \,d x","Not used",1,"int(((a*x^2 + 4*a*x^4 + 6*a*x^6 + 4*a*x^8 + a*x^10 + 4*x^2 + 6*x^4 + 4*x^6 + x^8 + 1)/x^2)^(1/4)/x, x)","F"
2721,0,-1,250,0.000000,"\text{Not used}","int((8*x^2 - 8*x + 2)^(1/3)/(x + 3),x)","\int \frac{{\left(8\,x^2-8\,x+2\right)}^{1/3}}{x+3} \,d x","Not used",1,"int((8*x^2 - 8*x + 2)^(1/3)/(x + 3), x)","F"
2722,0,-1,250,0.000000,"\text{Not used}","int(-((a*q - b*p*x^2)*(b + a*x))/((q + p*x^3)^(2/3)*(d*q + x^3*(d*p + a^3*c) + b^3*c + 3*a*b^2*c*x + 3*a^2*b*c*x^2)),x)","\int -\frac{\left(a\,q-b\,p\,x^2\right)\,\left(b+a\,x\right)}{{\left(p\,x^3+q\right)}^{2/3}\,\left(d\,q+x^3\,\left(c\,a^3+d\,p\right)+b^3\,c+3\,a\,b^2\,c\,x+3\,a^2\,b\,c\,x^2\right)} \,d x","Not used",1,"int(-((a*q - b*p*x^2)*(b + a*x))/((q + p*x^3)^(2/3)*(d*q + x^3*(d*p + a^3*c) + b^3*c + 3*a*b^2*c*x + 3*a^2*b*c*x^2)), x)","F"
2723,0,-1,250,0.000000,"\text{Not used}","int(-((b - x)*(2*b*x + a*(a - 2*b) - x^2))/(((a - x)*(b - x))^(2/3)*(x^2*(d - 6*a^2) - 2*x*(b*d - 2*a^3) + b^2*d + 4*a*x^3 - a^4 - x^4)),x)","\int -\frac{\left(b-x\right)\,\left(-x^2+2\,b\,x+a\,\left(a-2\,b\right)\right)}{{\left(\left(a-x\right)\,\left(b-x\right)\right)}^{2/3}\,\left(x^2\,\left(d-6\,a^2\right)-2\,x\,\left(b\,d-2\,a^3\right)+b^2\,d+4\,a\,x^3-a^4-x^4\right)} \,d x","Not used",1,"int(-((b - x)*(2*b*x + a*(a - 2*b) - x^2))/(((a - x)*(b - x))^(2/3)*(x^2*(d - 6*a^2) - 2*x*(b*d - 2*a^3) + b^2*d + 4*a*x^3 - a^4 - x^4)), x)","F"
2724,1,60,250,2.559571,"\text{Not used}","int(-((x^5 + 1)^(1/2)*(x^5 + 2))/(x^6*(x^5 - a*x^10 + 1)),x)","\frac{2\,\sqrt{x^5+1}}{5\,x^5}+\frac{\sqrt{a}\,\ln\left(\frac{a\,x^{10}+x^5-2\,\sqrt{a}\,x^5\,\sqrt{x^5+1}+1}{-4\,a\,x^{10}+4\,x^5+4}\right)}{5}","Not used",1,"(2*(x^5 + 1)^(1/2))/(5*x^5) + (a^(1/2)*log((a*x^10 + x^5 - 2*a^(1/2)*x^5*(x^5 + 1)^(1/2) + 1)/(4*x^5 - 4*a*x^10 + 4)))/5","B"
2725,1,60,250,2.539441,"\text{Not used}","int(((x^5 - 1)^(1/2)*(x^5 - 2))/(x^6*(a*x^10 - x^5 + 1)),x)","\frac{2\,\sqrt{x^5-1}}{5\,x^5}+\frac{\sqrt{a}\,\ln\left(\frac{a\,x^{10}+x^5-2\,\sqrt{a}\,x^5\,\sqrt{x^5-1}-1}{4\,a\,x^{10}-4\,x^5+4}\right)}{5}","Not used",1,"(2*(x^5 - 1)^(1/2))/(5*x^5) + (a^(1/2)*log((a*x^10 + x^5 - 2*a^(1/2)*x^5*(x^5 - 1)^(1/2) - 1)/(4*a*x^10 - 4*x^5 + 4)))/5","B"
2726,0,-1,250,0.000000,"\text{Not used}","int(-1/(((x + 1)^(1/2) + 1)^(1/2)*(x + 1)^(1/2) - x^2),x)","-\int \frac{1}{\sqrt{\sqrt{x+1}+1}\,\sqrt{x+1}-x^2} \,d x","Not used",1,"-int(1/(((x + 1)^(1/2) + 1)^(1/2)*(x + 1)^(1/2) - x^2), x)","F"
2727,0,-1,250,0.000000,"\text{Not used}","int(-1/(((x + 1)^(1/2) + 1)^(1/2)*(x + 1)^(1/2) - x^2),x)","-\int \frac{1}{\sqrt{\sqrt{x+1}+1}\,\sqrt{x+1}-x^2} \,d x","Not used",1,"-int(1/(((x + 1)^(1/2) + 1)^(1/2)*(x + 1)^(1/2) - x^2), x)","F"
2728,0,-1,250,0.000000,"\text{Not used}","int(-(x*(_C4 - _C3*x^2))/(((_C4 + _C0*x + _C3*x^2)/(_C4 + _C1*x + _C3*x^2))^(1/2)*(3*_C4 + x + 3*_C3*x^2)*(_C4^2 - x^2 + _C3^2*x^4 + 2*_C3*_C4*x^2)),x)","-\int \frac{x\,\left(_{\mathrm{C4}}-_{\mathrm{C3}}\,x^2\right)}{\sqrt{\frac{_{\mathrm{C3}}\,x^2+_{\mathrm{C0}}\,x+_{\mathrm{C4}}}{_{\mathrm{C3}}\,x^2+_{\mathrm{C1}}\,x+_{\mathrm{C4}}}}\,\left(3\,_{\mathrm{C3}}\,x^2+x+3\,_{\mathrm{C4}}\right)\,\left({_{\mathrm{C3}}}^2\,x^4+2\,_{\mathrm{C3}}\,_{\mathrm{C4}}\,x^2+{_{\mathrm{C4}}}^2-x^2\right)} \,d x","Not used",1,"-int((x*(_C4 - _C3*x^2))/(((_C4 + _C0*x + _C3*x^2)/(_C4 + _C1*x + _C3*x^2))^(1/2)*(3*_C4 + x + 3*_C3*x^2)*(_C4^2 - x^2 + _C3^2*x^4 + 2*_C3*_C4*x^2)), x)","F"
2729,0,-1,251,0.000000,"\text{Not used}","int(1/((b - a*x^4)^2*(a*x^4 - b*x^2)^(1/4)),x)","\int \frac{1}{{\left(b-a\,x^4\right)}^2\,{\left(a\,x^4-b\,x^2\right)}^{1/4}} \,d x","Not used",1,"int(1/((b - a*x^4)^2*(a*x^4 - b*x^2)^(1/4)), x)","F"
2730,0,-1,251,0.000000,"\text{Not used}","int(1/((b - a*x^4)^2*(a*x^4 - b*x^2)^(1/4)),x)","\int \frac{1}{{\left(b-a\,x^4\right)}^2\,{\left(a\,x^4-b\,x^2\right)}^{1/4}} \,d x","Not used",1,"int(1/((b - a*x^4)^2*(a*x^4 - b*x^2)^(1/4)), x)","F"
2731,0,-1,251,0.000000,"\text{Not used}","int(-((2*q - p*x^3)*(a*q + b*x^2 + a*p*x^3)*(p^2*x^6 + q^2 + 2*p*q*x^3 - 2*p*q*x^4)^(1/2))/(x^5*(c*q + d*x^2 + c*p*x^3)),x)","\int -\frac{\left(2\,q-p\,x^3\right)\,\left(a\,p\,x^3+b\,x^2+a\,q\right)\,\sqrt{p^2\,x^6-2\,p\,q\,x^4+2\,p\,q\,x^3+q^2}}{x^5\,\left(c\,p\,x^3+d\,x^2+c\,q\right)} \,d x","Not used",1,"int(-((2*q - p*x^3)*(a*q + b*x^2 + a*p*x^3)*(p^2*x^6 + q^2 + 2*p*q*x^3 - 2*p*q*x^4)^(1/2))/(x^5*(c*q + d*x^2 + c*p*x^3)), x)","F"
2732,0,-1,252,0.000000,"\text{Not used}","int(-(x*(x - 1)*(x^2*(2*k - k^2) - 2*x + 1))/((x*(k*x - 1)*(x - 1))^(2/3)*(x^4*(b - k^4) + x^2*(b - 6*k^2) + 4*k*x - x^3*(2*b - 4*k^3) - 1)),x)","-\int \frac{x\,\left(x-1\right)\,\left(\left(2\,k-k^2\right)\,x^2-2\,x+1\right)}{{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{2/3}\,\left(\left(b-k^4\right)\,x^4+\left(4\,k^3-2\,b\right)\,x^3+\left(b-6\,k^2\right)\,x^2+4\,k\,x-1\right)} \,d x","Not used",1,"-int((x*(x - 1)*(x^2*(2*k - k^2) - 2*x + 1))/((x*(k*x - 1)*(x - 1))^(2/3)*(x^4*(b - k^4) + x^2*(b - 6*k^2) + 4*k*x - x^3*(2*b - 4*k^3) - 1)), x)","F"
2733,0,-1,252,0.000000,"\text{Not used}","int(-((a*(q + p*x^3)^4 + b*x^8)*(2*q - p*x^3)*(p^2*x^6 + q^2 + 2*p*q*x^3 - 2*p*q*x^4)^(1/2))/x^13,x)","\int -\frac{\left(a\,{\left(p\,x^3+q\right)}^4+b\,x^8\right)\,\left(2\,q-p\,x^3\right)\,\sqrt{p^2\,x^6-2\,p\,q\,x^4+2\,p\,q\,x^3+q^2}}{x^{13}} \,d x","Not used",1,"int(-((a*(q + p*x^3)^4 + b*x^8)*(2*q - p*x^3)*(p^2*x^6 + q^2 + 2*p*q*x^3 - 2*p*q*x^4)^(1/2))/x^13, x)","F"
2734,0,-1,252,0.000000,"\text{Not used}","int(-x^2/(((x + 1)^(1/2) + 1)^(1/2)*(x + 1)^(1/2) - x^2),x)","-\int \frac{x^2}{\sqrt{\sqrt{x+1}+1}\,\sqrt{x+1}-x^2} \,d x","Not used",1,"-int(x^2/(((x + 1)^(1/2) + 1)^(1/2)*(x + 1)^(1/2) - x^2), x)","F"
2735,0,-1,252,0.000000,"\text{Not used}","int(-x^2/(((x + 1)^(1/2) + 1)^(1/2)*(x + 1)^(1/2) - x^2),x)","-\int \frac{x^2}{\sqrt{\sqrt{x+1}+1}\,\sqrt{x+1}-x^2} \,d x","Not used",1,"-int(x^2/(((x + 1)^(1/2) + 1)^(1/2)*(x + 1)^(1/2) - x^2), x)","F"
2736,0,-1,253,0.000000,"\text{Not used}","int(1/(x*(6*x^2 - 4*x - 4*x^3 + x^4 + 1)^(1/5)),x)","\int \frac{1}{x\,{\left(x^4-4\,x^3+6\,x^2-4\,x+1\right)}^{1/5}} \,d x","Not used",1,"int(1/(x*(6*x^2 - 4*x - 4*x^3 + x^4 + 1)^(1/5)), x)","F"
2737,0,-1,254,0.000000,"\text{Not used}","int((x^2 - x + 1)/((x^2 + x^4)^(1/3)*(x^2 - 1)),x)","\int \frac{x^2-x+1}{{\left(x^4+x^2\right)}^{1/3}\,\left(x^2-1\right)} \,d x","Not used",1,"int((x^2 - x + 1)/((x^2 + x^4)^(1/3)*(x^2 - 1)), x)","F"
2738,0,-1,254,0.000000,"\text{Not used}","int((x + x^2 + 1)/((x^2 + x^4)^(1/3)*(x^2 - 1)),x)","\int \frac{x^2+x+1}{{\left(x^4+x^2\right)}^{1/3}\,\left(x^2-1\right)} \,d x","Not used",1,"int((x + x^2 + 1)/((x^2 + x^4)^(1/3)*(x^2 - 1)), x)","F"
2739,0,-1,254,0.000000,"\text{Not used}","int(((x^2 - 1)*(x^3 - x^2 - x + x^4 + 1)^(1/2))/(x^2*(x^2 + 1)),x)","\int \frac{\left(x^2-1\right)\,\sqrt{x^4+x^3-x^2-x+1}}{x^2\,\left(x^2+1\right)} \,d x","Not used",1,"int(((x^2 - 1)*(x^3 - x^2 - x + x^4 + 1)^(1/2))/(x^2*(x^2 + 1)), x)","F"
2740,0,-1,254,0.000000,"\text{Not used}","int(((x^2 - 1)*(x^3 - x^2 - x + x^4 + 1)^(1/2))/(x^2*(x^2 + 1)),x)","\int \frac{\left(x^2-1\right)\,\sqrt{x^4+x^3-x^2-x+1}}{x^2\,\left(x^2+1\right)} \,d x","Not used",1,"int(((x^2 - 1)*(x^3 - x^2 - x + x^4 + 1)^(1/2))/(x^2*(x^2 + 1)), x)","F"
2741,0,-1,254,0.000000,"\text{Not used}","int(-((x^3 - 1)^(2/3)*(x^3 + 4))/(x^6*(x^3 - x^6 + 2)),x)","\int -\frac{{\left(x^3-1\right)}^{2/3}\,\left(x^3+4\right)}{x^6\,\left(-x^6+x^3+2\right)} \,d x","Not used",1,"int(-((x^3 - 1)^(2/3)*(x^3 + 4))/(x^6*(x^3 - x^6 + 2)), x)","F"
2742,1,99,254,2.185716,"\text{Not used}","int((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)*(a^2*x^2 - b)^(1/2)),x)","-\frac{6\,{\left(c+{\left(a\,x+\sqrt{a^2\,x^2-b}\right)}^{1/4}\right)}^{1/3}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{3},\frac{2}{3};\ \frac{5}{3};\ -\frac{c}{{\left(a\,x+\sqrt{a^2\,x^2-b}\right)}^{1/4}}\right)}{a\,{\left(a\,x+\sqrt{a^2\,x^2-b}\right)}^{1/4}\,{\left(\frac{c}{{\left(a\,x+\sqrt{a^2\,x^2-b}\right)}^{1/4}}+1\right)}^{1/3}}","Not used",1,"-(6*(c + (a*x + (a^2*x^2 - b)^(1/2))^(1/4))^(1/3)*hypergeom([-1/3, 2/3], 5/3, -c/(a*x + (a^2*x^2 - b)^(1/2))^(1/4)))/(a*(a*x + (a^2*x^2 - b)^(1/2))^(1/4)*(c/(a*x + (a^2*x^2 - b)^(1/2))^(1/4) + 1)^(1/3))","B"
2743,0,-1,255,0.000000,"\text{Not used}","int(((x^3 + x^4)^(1/4)*(x + x^2))/(x + x^2 - 1),x)","\int \frac{{\left(x^4+x^3\right)}^{1/4}\,\left(x^2+x\right)}{x^2+x-1} \,d x","Not used",1,"int(((x^3 + x^4)^(1/4)*(x + x^2))/(x + x^2 - 1), x)","F"
2744,0,-1,255,0.000000,"\text{Not used}","int((b + x^4)^2/(a*b^4 + a*x^16 + 4*b*x^16 + x^20 + b^4*x^4 + 4*b^3*x^8 + 6*b^2*x^12 + 4*a*b^3*x^4 + 6*a*b^2*x^8 + 4*a*b*x^12)^(1/4),x)","\int \frac{{\left(x^4+b\right)}^2}{{\left(b^4\,x^4+a\,b^4+4\,b^3\,x^8+4\,a\,b^3\,x^4+6\,b^2\,x^{12}+6\,a\,b^2\,x^8+4\,b\,x^{16}+4\,a\,b\,x^{12}+x^{20}+a\,x^{16}\right)}^{1/4}} \,d x","Not used",1,"int((b + x^4)^2/(a*b^4 + a*x^16 + 4*b*x^16 + x^20 + b^4*x^4 + 4*b^3*x^8 + 6*b^2*x^12 + 4*a*b^3*x^4 + 6*a*b^2*x^8 + 4*a*b*x^12)^(1/4), x)","F"
2745,0,-1,255,0.000000,"\text{Not used}","int(-((q - 2*p*x^3)*(a*(q + p*x^3)^4 + b*x^4)*(p^2*x^6 + q^2 - 2*p*q*x^2 + 2*p*q*x^3)^(1/2))/x^7,x)","-\int \frac{\left(q-2\,p\,x^3\right)\,\left(a\,{\left(p\,x^3+q\right)}^4+b\,x^4\right)\,\sqrt{p^2\,x^6+2\,p\,q\,x^3-2\,p\,q\,x^2+q^2}}{x^7} \,d x","Not used",1,"-int(((q - 2*p*x^3)*(a*(q + p*x^3)^4 + b*x^4)*(p^2*x^6 + q^2 - 2*p*q*x^2 + 2*p*q*x^3)^(1/2))/x^7, x)","F"
2746,0,-1,255,0.000000,"\text{Not used}","int(((x - (x^2 + 1)^(1/2))^(1/2) - 1)/(2*x^2*(x^2 + 1)^(1/2) - x^4),x)","\int \frac{\sqrt{x-\sqrt{x^2+1}}-1}{2\,x^2\,\sqrt{x^2+1}-x^4} \,d x","Not used",1,"int(((x - (x^2 + 1)^(1/2))^(1/2) - 1)/(2*x^2*(x^2 + 1)^(1/2) - x^4), x)","F"
2747,0,-1,255,0.000000,"\text{Not used}","int(1/((c + (a*x + (a^2*x^2 - b)^(1/2))^(1/4))^(1/6)*(a^2*x^2 - b)^(1/2)),x)","\int \frac{1}{{\left(c+{\left(a\,x+\sqrt{a^2\,x^2-b}\right)}^{1/4}\right)}^{1/6}\,\sqrt{a^2\,x^2-b}} \,d x","Not used",1,"int(1/((c + (a*x + (a^2*x^2 - b)^(1/2))^(1/4))^(1/6)*(a^2*x^2 - b)^(1/2)), x)","F"
2748,0,-1,256,0.000000,"\text{Not used}","int((k^2*x^3 - x*(2*k^2 - 1))/(((x^2 - 1)*(k^2*x^2 - 1))^(1/3)*(d - x^2*(2*d*k^2 - 1) + d*k^4*x^4 - 1)),x)","-\int -\frac{k^2\,x^3-x\,\left(2\,k^2-1\right)}{{\left(\left(x^2-1\right)\,\left(k^2\,x^2-1\right)\right)}^{1/3}\,\left(d-x^2\,\left(2\,d\,k^2-1\right)+d\,k^4\,x^4-1\right)} \,d x","Not used",1,"-int(-(k^2*x^3 - x*(2*k^2 - 1))/(((x^2 - 1)*(k^2*x^2 - 1))^(1/3)*(d - x^2*(2*d*k^2 - 1) + d*k^4*x^4 - 1)), x)","F"
2749,0,-1,256,0.000000,"\text{Not used}","int(-(x*(k^2 - 2) - k^2*x^5 + 2*x^3)/(((x^2 - 1)*(k^2*x^2 - 1))^(2/3)*(x^2*(d*k^2 - 2) - d + x^4 + 1)),x)","-\int \frac{x\,\left(k^2-2\right)-k^2\,x^5+2\,x^3}{{\left(\left(x^2-1\right)\,\left(k^2\,x^2-1\right)\right)}^{2/3}\,\left(x^4+\left(d\,k^2-2\right)\,x^2-d+1\right)} \,d x","Not used",1,"-int((x*(k^2 - 2) - k^2*x^5 + 2*x^3)/(((x^2 - 1)*(k^2*x^2 - 1))^(2/3)*(x^2*(d*k^2 - 2) - d + x^4 + 1)), x)","F"
2750,0,-1,257,0.000000,"\text{Not used}","int(-((x^4 - 1)*(x^4 - x^2)^(1/4))/(x^2 - x^4 + 1),x)","-\int \frac{\left(x^4-1\right)\,{\left(x^4-x^2\right)}^{1/4}}{-x^4+x^2+1} \,d x","Not used",1,"-int(((x^4 - 1)*(x^4 - x^2)^(1/4))/(x^2 - x^4 + 1), x)","F"
2751,0,-1,257,0.000000,"\text{Not used}","int((x*(2*k - 3) + x^2*(k + 4) - 3*k*x^3 - 1)/((x*(k*x - 1)*(x - 1))^(1/3)*(b - 10*b*x^3 + 5*b*x^4 - b*x^5 + x^2*(10*b + k) - x*(5*b + 1))),x)","-\int -\frac{-3\,k\,x^3+\left(k+4\right)\,x^2+\left(2\,k-3\right)\,x-1}{{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{1/3}\,\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)} \,d x","Not used",1,"-int(-(x*(2*k - 3) + x^2*(k + 4) - 3*k*x^3 - 1)/((x*(k*x - 1)*(x - 1))^(1/3)*(b - 10*b*x^3 + 5*b*x^4 - b*x^5 + x^2*(10*b + k) - x*(5*b + 1))), x)","F"
2752,0,-1,257,0.000000,"\text{Not used}","int(x^3/((x^6 - 1)*(x^3 - x^2)^(1/3)),x)","\int \frac{x^3}{\left(x^6-1\right)\,{\left(x^3-x^2\right)}^{1/3}} \,d x","Not used",1,"int(x^3/((x^6 - 1)*(x^3 - x^2)^(1/3)), x)","F"
2753,0,-1,257,0.000000,"\text{Not used}","int(-(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x + (x^2 + 1)^(1/2))^(1/2))/(x^2 - 1),x)","-\int \frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}\,\sqrt{x+\sqrt{x^2+1}}}{x^2-1} \,d x","Not used",1,"-int((((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x + (x^2 + 1)^(1/2))^(1/2))/(x^2 - 1), x)","F"
2754,0,-1,257,0.000000,"\text{Not used}","int(-(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x + (x^2 + 1)^(1/2))^(1/2))/(x^2 - 1),x)","-\int \frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}\,\sqrt{x+\sqrt{x^2+1}}}{x^2-1} \,d x","Not used",1,"-int((((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x + (x^2 + 1)^(1/2))^(1/2))/(x^2 - 1), x)","F"
2755,1,99,257,2.599998,"\text{Not used}","int(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)*(a^2*x^2 - b)^(1/2)),x)","-\frac{3\,{\left(\frac{c}{{\left(a\,x+\sqrt{a^2\,x^2-b}\right)}^{1/4}}+1\right)}^{1/3}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{3},\frac{4}{3};\ \frac{7}{3};\ -\frac{c}{{\left(a\,x+\sqrt{a^2\,x^2-b}\right)}^{1/4}}\right)}{a\,{\left(a\,x+\sqrt{a^2\,x^2-b}\right)}^{1/4}\,{\left(c+{\left(a\,x+\sqrt{a^2\,x^2-b}\right)}^{1/4}\right)}^{1/3}}","Not used",1,"-(3*(c/(a*x + (a^2*x^2 - b)^(1/2))^(1/4) + 1)^(1/3)*hypergeom([1/3, 4/3], 7/3, -c/(a*x + (a^2*x^2 - b)^(1/2))^(1/4)))/(a*(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))","B"
2756,0,-1,258,0.000000,"\text{Not used}","int(-((b - x)*(a*b - 2*b*x + x^2))/((-x*(a - x)*(b - x)^2)^(2/3)*(b - x*(a*d + 1) + d*x^2)),x)","\int -\frac{\left(b-x\right)\,\left(x^2-2\,b\,x+a\,b\right)}{{\left(-x\,\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{2/3}\,\left(d\,x^2+\left(-a\,d-1\right)\,x+b\right)} \,d x","Not used",1,"int(-((b - x)*(a*b - 2*b*x + x^2))/((-x*(a - x)*(b - x)^2)^(2/3)*(b - x*(a*d + 1) + d*x^2)), x)","F"
2757,0,-1,258,0.000000,"\text{Not used}","int(((a - 5*b + 4*x)*(3*a*x^2 - 3*a^2*x + a^3 - x^3))/(((a - x)*(b - x))^(2/3)*(5*a*x^4 - b*d + x*(d - 5*a^4) + a^5 - x^5 - 10*a^2*x^3 + 10*a^3*x^2)),x)","-\int -\frac{\left(a-5\,b+4\,x\right)\,\left(a^3-3\,a^2\,x+3\,a\,x^2-x^3\right)}{{\left(\left(a-x\right)\,\left(b-x\right)\right)}^{2/3}\,\left(5\,a\,x^4-b\,d+x\,\left(d-5\,a^4\right)+a^5-x^5-10\,a^2\,x^3+10\,a^3\,x^2\right)} \,d x","Not used",1,"-int(-((a - 5*b + 4*x)*(3*a*x^2 - 3*a^2*x + a^3 - x^3))/(((a - x)*(b - x))^(2/3)*(5*a*x^4 - b*d + x*(d - 5*a^4) + a^5 - x^5 - 10*a^2*x^3 + 10*a^3*x^2)), x)","F"
2758,1,423,258,1.904673,"\text{Not used}","int((x^3*(4*x + 5)^(1/3) + x^3*(4*x + 5)^(2/3) - 1)/(x*(4*x + 5)^(1/2) - 1),x)","\left(\sum _{k=1}^6\ln\left(\mathrm{root}\left(z^6-3\,z^5+\frac{45\,z^4}{68}+\frac{957\,z^3}{544}-\frac{1863\,z^2}{9248}-\frac{225\,z}{578}-\frac{2439}{39304},z,k\right)\,\left(-\mathrm{root}\left(z^6-3\,z^5+\frac{45\,z^4}{68}+\frac{957\,z^3}{544}-\frac{1863\,z^2}{9248}-\frac{225\,z}{578}-\frac{2439}{39304},z,k\right)\,\left(\mathrm{root}\left(z^6-3\,z^5+\frac{45\,z^4}{68}+\frac{957\,z^3}{544}-\frac{1863\,z^2}{9248}-\frac{225\,z}{578}-\frac{2439}{39304},z,k\right)\,\left(-\mathrm{root}\left(z^6-3\,z^5+\frac{45\,z^4}{68}+\frac{957\,z^3}{544}-\frac{1863\,z^2}{9248}-\frac{225\,z}{578}-\frac{2439}{39304},z,k\right)\,\left(\mathrm{root}\left(z^6-3\,z^5+\frac{45\,z^4}{68}+\frac{957\,z^3}{544}-\frac{1863\,z^2}{9248}-\frac{225\,z}{578}-\frac{2439}{39304},z,k\right)\,\left(-\mathrm{root}\left(z^6-3\,z^5+\frac{45\,z^4}{68}+\frac{957\,z^3}{544}-\frac{1863\,z^2}{9248}-\frac{225\,z}{578}-\frac{2439}{39304},z,k\right)\,\left(89890560\,{\left(4\,x+5\right)}^{1/6}+95508720\right)+92137824\,{\left(4\,x+5\right)}^{1/6}+79777872\right)+37240965\,{\left(4\,x+5\right)}^{1/6}+52777656\right)+42123807\,{\left(4\,x+5\right)}^{1/6}+37377288\right)+8945559\,{\left(4\,x+5\right)}^{1/6}+13837149\right)+5031558\,{\left(4\,x+5\right)}^{1/6}+2990358\right)+1119744\,{\left(4\,x+5\right)}^{1/6}+874800\right)\,\mathrm{root}\left(z^6-3\,z^5+\frac{45\,z^4}{68}+\frac{957\,z^3}{544}-\frac{1863\,z^2}{9248}-\frac{225\,z}{578}-\frac{2439}{39304},z,k\right)\right)-3\,\ln\left(-83860333479\,{\left(4\,x+5\right)}^{1/6}-83860333479\right)-\frac{15\,{\left(4\,x+5\right)}^{1/3}}{16}-\frac{15\,{\left(4\,x+5\right)}^{2/3}}{32}+\frac{3\,{\left(4\,x+5\right)}^{1/6}}{2}+\frac{3\,{\left(4\,x+5\right)}^{4/3}}{64}+\frac{3\,{\left(4\,x+5\right)}^{5/3}}{80}+\frac{15\,{\left(4\,x+5\right)}^{5/6}}{32}+\frac{75\,{\left(4\,x+5\right)}^{7/6}}{224}-\frac{15\,{\left(4\,x+5\right)}^{11/6}}{176}-\frac{15\,{\left(4\,x+5\right)}^{13/6}}{208}+\frac{3\,{\left(4\,x+5\right)}^{17/6}}{544}+\frac{3\,{\left(4\,x+5\right)}^{19/6}}{608}","Not used",1,"symsum(log(root(z^6 - 3*z^5 + (45*z^4)/68 + (957*z^3)/544 - (1863*z^2)/9248 - (225*z)/578 - 2439/39304, z, k)*(5031558*(4*x + 5)^(1/6) - root(z^6 - 3*z^5 + (45*z^4)/68 + (957*z^3)/544 - (1863*z^2)/9248 - (225*z)/578 - 2439/39304, z, k)*(root(z^6 - 3*z^5 + (45*z^4)/68 + (957*z^3)/544 - (1863*z^2)/9248 - (225*z)/578 - 2439/39304, z, k)*(42123807*(4*x + 5)^(1/6) - root(z^6 - 3*z^5 + (45*z^4)/68 + (957*z^3)/544 - (1863*z^2)/9248 - (225*z)/578 - 2439/39304, z, k)*(root(z^6 - 3*z^5 + (45*z^4)/68 + (957*z^3)/544 - (1863*z^2)/9248 - (225*z)/578 - 2439/39304, z, k)*(92137824*(4*x + 5)^(1/6) - root(z^6 - 3*z^5 + (45*z^4)/68 + (957*z^3)/544 - (1863*z^2)/9248 - (225*z)/578 - 2439/39304, z, k)*(89890560*(4*x + 5)^(1/6) + 95508720) + 79777872) + 37240965*(4*x + 5)^(1/6) + 52777656) + 37377288) + 8945559*(4*x + 5)^(1/6) + 13837149) + 2990358) + 1119744*(4*x + 5)^(1/6) + 874800)*root(z^6 - 3*z^5 + (45*z^4)/68 + (957*z^3)/544 - (1863*z^2)/9248 - (225*z)/578 - 2439/39304, z, k), k, 1, 6) - 3*log(- 83860333479*(4*x + 5)^(1/6) - 83860333479) - (15*(4*x + 5)^(1/3))/16 - (15*(4*x + 5)^(2/3))/32 + (3*(4*x + 5)^(1/6))/2 + (3*(4*x + 5)^(4/3))/64 + (3*(4*x + 5)^(5/3))/80 + (15*(4*x + 5)^(5/6))/32 + (75*(4*x + 5)^(7/6))/224 - (15*(4*x + 5)^(11/6))/176 - (15*(4*x + 5)^(13/6))/208 + (3*(4*x + 5)^(17/6))/544 + (3*(4*x + 5)^(19/6))/608","B"
2759,0,-1,259,0.000000,"\text{Not used}","int(-(x^3*((_C4 + _C0*x^2 + _C3*x^3)/(_C4 + _C1*x^2 + _C3*x^3))^(1/2)*(2*_C4 - _C3*x^3))/((2*_C4 + 2*_C3*x^3 + x^2)*(_C4^2 - x^4 + _C3^2*x^6 + 2*_C3*_C4*x^3)),x)","\int -\frac{x^3\,\sqrt{\frac{_{\mathrm{C3}}\,x^3+_{\mathrm{C0}}\,x^2+_{\mathrm{C4}}}{_{\mathrm{C3}}\,x^3+_{\mathrm{C1}}\,x^2+_{\mathrm{C4}}}}\,\left(2\,_{\mathrm{C4}}-_{\mathrm{C3}}\,x^3\right)}{\left(2\,_{\mathrm{C3}}\,x^3+x^2+2\,_{\mathrm{C4}}\right)\,\left({_{\mathrm{C3}}}^2\,x^6+2\,_{\mathrm{C3}}\,_{\mathrm{C4}}\,x^3+{_{\mathrm{C4}}}^2-x^4\right)} \,d x","Not used",1,"int(-(x^3*((_C4 + _C0*x^2 + _C3*x^3)/(_C4 + _C1*x^2 + _C3*x^3))^(1/2)*(2*_C4 - _C3*x^3))/((2*_C4 + 2*_C3*x^3 + x^2)*(_C4^2 - x^4 + _C3^2*x^6 + 2*_C3*_C4*x^3)), x)","F"
2760,0,-1,259,0.000000,"\text{Not used}","int(-(x^5*((_C4 + _C0*x^3 + _C3*x^5)/(_C4 + _C1*x^3 + _C3*x^5))^(1/2)*(3*_C4 - 2*_C3*x^5))/((2*_C4 + 2*_C3*x^5 + x^3)*(_C4^2 - x^6 + _C3^2*x^10 + 2*_C3*_C4*x^5)),x)","\int -\frac{x^5\,\sqrt{\frac{_{\mathrm{C3}}\,x^5+_{\mathrm{C0}}\,x^3+_{\mathrm{C4}}}{_{\mathrm{C3}}\,x^5+_{\mathrm{C1}}\,x^3+_{\mathrm{C4}}}}\,\left(3\,_{\mathrm{C4}}-2\,_{\mathrm{C3}}\,x^5\right)}{\left(2\,_{\mathrm{C3}}\,x^5+x^3+2\,_{\mathrm{C4}}\right)\,\left({_{\mathrm{C3}}}^2\,x^{10}+2\,_{\mathrm{C3}}\,_{\mathrm{C4}}\,x^5+{_{\mathrm{C4}}}^2-x^6\right)} \,d x","Not used",1,"int(-(x^5*((_C4 + _C0*x^3 + _C3*x^5)/(_C4 + _C1*x^3 + _C3*x^5))^(1/2)*(3*_C4 - 2*_C3*x^5))/((2*_C4 + 2*_C3*x^5 + x^3)*(_C4^2 - x^6 + _C3^2*x^10 + 2*_C3*_C4*x^5)), x)","F"
2761,1,475,260,4.767203,"\text{Not used}","int(((x^2 - 1)^2*(x + x^3))/((x^4 + 1)^(1/2)*(4*x^4 - 2*x^2 - 2*x^6 + x^8 + 1)),x)","\left(\sum _{k=1}^4\frac{{\left(\mathrm{root}\left(z^4-2\,z^3+4\,z^2-2\,z+1,z,k\right)-1\right)}^2\,\left(\ln\left(-\mathrm{root}\left(z^4-2\,z^3+4\,z^2-2\,z+1,z,k\right)+x^2\right)-\ln\left(\sqrt{\left({\mathrm{root}\left(z^4-2\,z^3+4\,z^2-2\,z+1,z,k\right)}^2+1\right)\,\left(x^4+1\right)}+\mathrm{root}\left(z^4-2\,z^3+4\,z^2-2\,z+1,z,k\right)\,x^2+1\right)\right)\,\mathrm{root}\left(z^4-2\,z^3+4\,z^2-2\,z+1,z,k\right)}{4\,\left(4\,\mathrm{root}\left(z^4-2\,z^3+4\,z^2-2\,z+1,z,k\right)-3\,{\mathrm{root}\left(z^4-2\,z^3+4\,z^2-2\,z+1,z,k\right)}^2+2\,{\mathrm{root}\left(z^4-2\,z^3+4\,z^2-2\,z+1,z,k\right)}^3-1\right)\,\sqrt{{\mathrm{root}\left(z^4-2\,z^3+4\,z^2-2\,z+1,z,k\right)}^2+1}}\right)+\left(\sum _{k=1}^4\frac{{\left(\mathrm{root}\left(z^4-2\,z^3+4\,z^2-2\,z+1,z,k\right)-1\right)}^2\,\left(\ln\left(\sqrt{\left(x^4+1\right)\,\left({\mathrm{root}\left(z^4-2\,z^3+4\,z^2-2\,z+1,z,k\right)}^2+1\right)}+x^2\,\mathrm{root}\left(z^4-2\,z^3+4\,z^2-2\,z+1,z,k\right)+1\right)-\ln\left(x^2-\mathrm{root}\left(z^4-2\,z^3+4\,z^2-2\,z+1,z,k\right)\right)\right)}{\sqrt{{\mathrm{root}\left(z^4-2\,z^3+4\,z^2-2\,z+1,z,k\right)}^2+1}\,\left(-8\,{\mathrm{root}\left(z^4-2\,z^3+4\,z^2-2\,z+1,z,k\right)}^3+12\,{\mathrm{root}\left(z^4-2\,z^3+4\,z^2-2\,z+1,z,k\right)}^2-16\,\mathrm{root}\left(z^4-2\,z^3+4\,z^2-2\,z+1,z,k\right)+4\right)}\right)","Not used",1,"symsum(((root(z^4 - 2*z^3 + 4*z^2 - 2*z + 1, z, k) - 1)^2*(log(x^2 - root(z^4 - 2*z^3 + 4*z^2 - 2*z + 1, z, k)) - log(((root(z^4 - 2*z^3 + 4*z^2 - 2*z + 1, z, k)^2 + 1)*(x^4 + 1))^(1/2) + root(z^4 - 2*z^3 + 4*z^2 - 2*z + 1, z, k)*x^2 + 1))*root(z^4 - 2*z^3 + 4*z^2 - 2*z + 1, z, k))/(4*(4*root(z^4 - 2*z^3 + 4*z^2 - 2*z + 1, z, k) - 3*root(z^4 - 2*z^3 + 4*z^2 - 2*z + 1, z, k)^2 + 2*root(z^4 - 2*z^3 + 4*z^2 - 2*z + 1, z, k)^3 - 1)*(root(z^4 - 2*z^3 + 4*z^2 - 2*z + 1, z, k)^2 + 1)^(1/2)), k, 1, 4) + symsum(((root(z^4 - 2*z^3 + 4*z^2 - 2*z + 1, z, k) - 1)^2*(log(((x^4 + 1)*(root(z^4 - 2*z^3 + 4*z^2 - 2*z + 1, z, k)^2 + 1))^(1/2) + x^2*root(z^4 - 2*z^3 + 4*z^2 - 2*z + 1, z, k) + 1) - log(x^2 - root(z^4 - 2*z^3 + 4*z^2 - 2*z + 1, z, k))))/((root(z^4 - 2*z^3 + 4*z^2 - 2*z + 1, z, k)^2 + 1)^(1/2)*(12*root(z^4 - 2*z^3 + 4*z^2 - 2*z + 1, z, k)^2 - 8*root(z^4 - 2*z^3 + 4*z^2 - 2*z + 1, z, k)^3 - 16*root(z^4 - 2*z^3 + 4*z^2 - 2*z + 1, z, k) + 4)), k, 1, 4)","B"
2762,0,-1,261,0.000000,"\text{Not used}","int(-((x^4 - x^3)^(1/4)*(x + 2*x^2 - 1))/(x - x^2 + 1),x)","\int -\frac{{\left(x^4-x^3\right)}^{1/4}\,\left(2\,x^2+x-1\right)}{-x^2+x+1} \,d x","Not used",1,"int(-((x^4 - x^3)^(1/4)*(x + 2*x^2 - 1))/(x - x^2 + 1), x)","F"
2763,0,-1,261,0.000000,"\text{Not used}","int(((x^6 + 2)*(x^4 + x^6 - 1))/((x^6 - 1)^(1/4)*(x^8 - 2*x^6 + x^12 + 1)),x)","\int \frac{\left(x^6+2\right)\,\left(x^6+x^4-1\right)}{{\left(x^6-1\right)}^{1/4}\,\left(x^{12}+x^8-2\,x^6+1\right)} \,d x","Not used",1,"int(((x^6 + 2)*(x^4 + x^6 - 1))/((x^6 - 1)^(1/4)*(x^8 - 2*x^6 + x^12 + 1)), x)","F"
2764,0,-1,261,0.000000,"\text{Not used}","int(1/((a*x + (b^2 + a^2*x^2)^(1/2))^(1/2)*(d + c*x)^2),x)","\int \frac{1}{\sqrt{a\,x+\sqrt{a^2\,x^2+b^2}}\,{\left(d+c\,x\right)}^2} \,d x","Not used",1,"int(1/((a*x + (b^2 + a^2*x^2)^(1/2))^(1/2)*(d + c*x)^2), x)","F"
2765,0,-1,261,0.000000,"\text{Not used}","int((x^2 + 1)^2/((x^2 - 1)^2*((x^4 + 1)^(1/2) + x^2)^(1/2)),x)","\int \frac{{\left(x^2+1\right)}^2}{{\left(x^2-1\right)}^2\,\sqrt{\sqrt{x^4+1}+x^2}} \,d x","Not used",1,"int((x^2 + 1)^2/((x^2 - 1)^2*((x^4 + 1)^(1/2) + x^2)^(1/2)), x)","F"
2766,0,-1,262,0.000000,"\text{Not used}","int((2*x*(b*c - a^2) - x^2*(b - 2*a + c) + a*(a*b + a*c - 2*b*c))/((-(a - x)*(b - x)*(c - x))^(2/3)*(x*(b*d - 2*a + c*d) + a^2 - x^2*(d - 1) - b*c*d)),x)","\int \frac{2\,x\,\left(b\,c-a^2\right)-x^2\,\left(b-2\,a+c\right)+a\,\left(a\,b+a\,c-2\,b\,c\right)}{{\left(-\left(a-x\right)\,\left(b-x\right)\,\left(c-x\right)\right)}^{2/3}\,\left(x\,\left(b\,d-2\,a+c\,d\right)+a^2-x^2\,\left(d-1\right)-b\,c\,d\right)} \,d x","Not used",1,"int((2*x*(b*c - a^2) - x^2*(b - 2*a + c) + a*(a*b + a*c - 2*b*c))/((-(a - x)*(b - x)*(c - x))^(2/3)*(x*(b*d - 2*a + c*d) + a^2 - x^2*(d - 1) - b*c*d)), x)","F"
2767,0,-1,262,0.000000,"\text{Not used}","int((x^4 + 1)/((x^4 - 1)*(a + b*x + a*x^4 + b*x^3 + c*x^2)^(1/2)),x)","\int \frac{x^4+1}{\left(x^4-1\right)\,\sqrt{a\,x^4+b\,x^3+c\,x^2+b\,x+a}} \,d x","Not used",1,"int((x^4 + 1)/((x^4 - 1)*(a + b*x + a*x^4 + b*x^3 + c*x^2)^(1/2)), x)","F"
2768,0,-1,262,0.000000,"\text{Not used}","int((x^2 - 1)^2/((x^2 + 1)^2*((x^4 + 1)^(1/2) + x^2)^(1/2)),x)","\int \frac{{\left(x^2-1\right)}^2}{{\left(x^2+1\right)}^2\,\sqrt{\sqrt{x^4+1}+x^2}} \,d x","Not used",1,"int((x^2 - 1)^2/((x^2 + 1)^2*((x^4 + 1)^(1/2) + x^2)^(1/2)), x)","F"
2769,0,-1,263,0.000000,"\text{Not used}","int(-(2*a*b^2 + x^3 - b*x*(2*a + b))/((-x*(a - x)*(b - x)^2)^(1/3)*(x^2*(a + 2*b + d) + a*b^2 - x^3 - b*x*(2*a + b))),x)","\int -\frac{2\,a\,b^2+x^3-b\,x\,\left(2\,a+b\right)}{{\left(-x\,\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{1/3}\,\left(x^2\,\left(a+2\,b+d\right)+a\,b^2-x^3-b\,x\,\left(2\,a+b\right)\right)} \,d x","Not used",1,"int(-(2*a*b^2 + x^3 - b*x*(2*a + b))/((-x*(a - x)*(b - x)^2)^(1/3)*(x^2*(a + 2*b + d) + a*b^2 - x^3 - b*x*(2*a + b))), x)","F"
2770,1,165,263,2.134031,"\text{Not used}","int(-(d - c*x)/(x*(a*x^3 - b)^(1/3)),x)","\frac{d\,\ln\left(d^2\,{\left(a\,x^3-b\right)}^{1/3}+b^{1/3}\,d^2\right)}{3\,b^{1/3}}-\frac{\ln\left(d^2\,{\left(a\,x^3-b\right)}^{1/3}+\frac{b^{1/3}\,{\left(d-\sqrt{3}\,d\,1{}\mathrm{i}\right)}^2}{4}\right)\,\left(d-\sqrt{3}\,d\,1{}\mathrm{i}\right)}{6\,b^{1/3}}-\frac{\ln\left(d^2\,{\left(a\,x^3-b\right)}^{1/3}+\frac{b^{1/3}\,{\left(d+\sqrt{3}\,d\,1{}\mathrm{i}\right)}^2}{4}\right)\,\left(d+\sqrt{3}\,d\,1{}\mathrm{i}\right)}{6\,b^{1/3}}+\frac{c\,x\,{\left(1-\frac{a\,x^3}{b}\right)}^{1/3}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{3},\frac{1}{3};\ \frac{4}{3};\ \frac{a\,x^3}{b}\right)}{{\left(a\,x^3-b\right)}^{1/3}}","Not used",1,"(d*log(d^2*(a*x^3 - b)^(1/3) + b^(1/3)*d^2))/(3*b^(1/3)) - (log(d^2*(a*x^3 - b)^(1/3) + (b^(1/3)*(d - 3^(1/2)*d*1i)^2)/4)*(d - 3^(1/2)*d*1i))/(6*b^(1/3)) - (log(d^2*(a*x^3 - b)^(1/3) + (b^(1/3)*(d + 3^(1/2)*d*1i)^2)/4)*(d + 3^(1/2)*d*1i))/(6*b^(1/3)) + (c*x*(1 - (a*x^3)/b)^(1/3)*hypergeom([1/3, 1/3], 4/3, (a*x^3)/b))/(a*x^3 - b)^(1/3)","B"
2771,0,-1,263,0.000000,"\text{Not used}","int((a^4*x^4 - b^4 + c^2*x^2)/((b^4 + a^4*x^4)*(a^4*x^4 - b^4)^(1/2)),x)","\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","Not used",1,"int((a^4*x^4 - b^4 + c^2*x^2)/((b^4 + a^4*x^4)*(a^4*x^4 - b^4)^(1/2)), x)","F"
2772,0,-1,265,0.000000,"\text{Not used}","int(-x^2/((x^4 - 1)*(a + b*x + a*x^4 + b*x^3 + c*x^2)^(1/2)),x)","-\int \frac{x^2}{\left(x^4-1\right)\,\sqrt{a\,x^4+b\,x^3+c\,x^2+b\,x+a}} \,d x","Not used",1,"-int(x^2/((x^4 - 1)*(a + b*x + a*x^4 + b*x^3 + c*x^2)^(1/2)), x)","F"
2773,0,-1,265,0.000000,"\text{Not used}","int((x*(b - x)*(x^2*(2*a - b) + a^2*b - 2*a^2*x))/((x*(a - x)*(b - x))^(2/3)*(x^2*(b^2*d - 6*a^2) + 2*x^3*(2*a - b*d) + 4*a^3*x - a^4 + x^4*(d - 1))),x)","-\int -\frac{x\,\left(b-x\right)\,\left(x^2\,\left(2\,a-b\right)+a^2\,b-2\,a^2\,x\right)}{{\left(x\,\left(a-x\right)\,\left(b-x\right)\right)}^{2/3}\,\left(x^2\,\left(b^2\,d-6\,a^2\right)+2\,x^3\,\left(2\,a-b\,d\right)+4\,a^3\,x-a^4+x^4\,\left(d-1\right)\right)} \,d x","Not used",1,"-int(-(x*(b - x)*(x^2*(2*a - b) + a^2*b - 2*a^2*x))/((x*(a - x)*(b - x))^(2/3)*(x^2*(b^2*d - 6*a^2) + 2*x^3*(2*a - b*d) + 4*a^3*x - a^4 + x^4*(d - 1))), x)","F"
2774,0,-1,265,0.000000,"\text{Not used}","int(((x^3 - 1)^(2/3)*(x^6 - 8*x^3 + 8))/(x^6*(x^3 - 2)*(x^3 - 4)),x)","\int \frac{{\left(x^3-1\right)}^{2/3}\,\left(x^6-8\,x^3+8\right)}{x^6\,\left(x^3-2\right)\,\left(x^3-4\right)} \,d x","Not used",1,"int(((x^3 - 1)^(2/3)*(x^6 - 8*x^3 + 8))/(x^6*(x^3 - 2)*(x^3 - 4)), x)","F"
2775,0,-1,265,0.000000,"\text{Not used}","int((c + (a*x + (a^2*x^2 - b)^(1/2))^(3/4))^(4/3)/(a^2*x^2 - b)^(1/2),x)","\int \frac{{\left(c+{\left(a\,x+\sqrt{a^2\,x^2-b}\right)}^{3/4}\right)}^{4/3}}{\sqrt{a^2\,x^2-b}} \,d x","Not used",1,"int((c + (a*x + (a^2*x^2 - b)^(1/2))^(3/4))^(4/3)/(a^2*x^2 - b)^(1/2), x)","F"
2776,0,-1,266,0.000000,"\text{Not used}","int(-1/((b^3 + a^3*x^3)^(1/3)*(b - a*x)),x)","-\int \frac{1}{{\left(a^3\,x^3+b^3\right)}^{1/3}\,\left(b-a\,x\right)} \,d x","Not used",1,"-int(1/((b^3 + a^3*x^3)^(1/3)*(b - a*x)), x)","F"
2777,0,-1,266,0.000000,"\text{Not used}","int((a*x^2 + b*x*((a^2*x^2)/b^2 - a/b^2)^(1/2))^(1/3)/((a^2*x^2)/b^2 - a/b^2)^(1/2),x)","\int \frac{{\left(a\,x^2+b\,x\,\sqrt{\frac{a^2\,x^2}{b^2}-\frac{a}{b^2}}\right)}^{1/3}}{\sqrt{\frac{a^2\,x^2}{b^2}-\frac{a}{b^2}}} \,d x","Not used",1,"int((a*x^2 + b*x*((a^2*x^2)/b^2 - a/b^2)^(1/2))^(1/3)/((a^2*x^2)/b^2 - a/b^2)^(1/2), x)","F"
2778,0,-1,266,0.000000,"\text{Not used}","int(-(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^2 + 1)^(1/2))/(x^2 - 1),x)","-\int \frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}\,\sqrt{x^2+1}}{x^2-1} \,d x","Not used",1,"-int((((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^2 + 1)^(1/2))/(x^2 - 1), x)","F"
2779,0,-1,266,0.000000,"\text{Not used}","int(-(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^2 + 1)^(1/2))/(x^2 - 1),x)","-\int \frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}\,\sqrt{x^2+1}}{x^2-1} \,d x","Not used",1,"-int((((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^2 + 1)^(1/2))/(x^2 - 1), x)","F"
2780,0,-1,267,0.000000,"\text{Not used}","int(-(b - x)/((-(a - x)*(b - x)^2)^(2/3)*(b - a*d + x*(d - 1))),x)","\int -\frac{b-x}{{\left(-\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{2/3}\,\left(b-a\,d+x\,\left(d-1\right)\right)} \,d x","Not used",1,"int(-(b - x)/((-(a - x)*(b - x)^2)^(2/3)*(b - a*d + x*(d - 1))), x)","F"
2781,0,-1,267,0.000000,"\text{Not used}","int((b*p*x^3 - a*q*x)/((q + p*x^4)^(1/2)*(d*q + x^4*(d*p + a^2*c) + b^2*c + 2*a*b*c*x^2)),x)","\int \frac{b\,p\,x^3-a\,q\,x}{\sqrt{p\,x^4+q}\,\left(c\,b^2+2\,a\,c\,b\,x^2+\left(c\,a^2+d\,p\right)\,x^4+d\,q\right)} \,d x","Not used",1,"int((b*p*x^3 - a*q*x)/((q + p*x^4)^(1/2)*(d*q + x^4*(d*p + a^2*c) + b^2*c + 2*a*b*c*x^2)), x)","F"
2782,-1,-1,267,0.000000,"\text{Not used}","int(((b + a*x)^2*(a*p*x^3 - 2*a*q + 3*b*p*x^2))/((q + p*x^3)^(1/2)*(x^3*(2*d*p*q + 4*a^3*b*c) + b^4*c + d*q^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)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
2783,0,-1,267,0.000000,"\text{Not used}","int((((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^2 + 1))/((x^2 - 1)^2*(x + (x^2 + 1)^(1/2))^(1/2)),x)","\int \frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}\,\left(x^2+1\right)}{{\left(x^2-1\right)}^2\,\sqrt{x+\sqrt{x^2+1}}} \,d x","Not used",1,"int((((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^2 + 1))/((x^2 - 1)^2*(x + (x^2 + 1)^(1/2))^(1/2)), x)","F"
2784,0,-1,267,0.000000,"\text{Not used}","int((((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^2 + 1))/((x^2 - 1)^2*(x + (x^2 + 1)^(1/2))^(1/2)),x)","\int \frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}\,\left(x^2+1\right)}{{\left(x^2-1\right)}^2\,\sqrt{x+\sqrt{x^2+1}}} \,d x","Not used",1,"int((((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^2 + 1))/((x^2 - 1)^2*(x + (x^2 + 1)^(1/2))^(1/2)), x)","F"
2785,0,-1,268,0.000000,"\text{Not used}","int((k^4*x^4 - 1)/((x*(k^2*x - 1)*(x - 1))^(1/2)*(a + b*x^2 + a*k^4*x^4)),x)","\int \frac{k^4\,x^4-1}{\sqrt{x\,\left(k^2\,x-1\right)\,\left(x-1\right)}\,\left(a\,k^4\,x^4+b\,x^2+a\right)} \,d x","Not used",1,"int((k^4*x^4 - 1)/((x*(k^2*x - 1)*(x - 1))^(1/2)*(a + b*x^2 + a*k^4*x^4)), x)","F"
2786,0,-1,268,0.000000,"\text{Not used}","int(-(x^5*(4*a - 3*x))/((-x^2*(a - x))^(1/3)*(2*a*x + d*x^8 - a^2 - x^2)),x)","\int -\frac{x^5\,\left(4\,a-3\,x\right)}{{\left(-x^2\,\left(a-x\right)\right)}^{1/3}\,\left(-a^2+2\,a\,x+d\,x^8-x^2\right)} \,d x","Not used",1,"int(-(x^5*(4*a - 3*x))/((-x^2*(a - x))^(1/3)*(2*a*x + d*x^8 - a^2 - x^2)), x)","F"
2787,1,49,269,2.128405,"\text{Not used}","int((1 - x)^(1/2)/(8*(x + 1)^(7/2)),x)","\frac{3\,x\,\sqrt{1-x}-4\,\sqrt{1-x}+x^2\,\sqrt{1-x}}{\sqrt{x+1}\,\left(120\,x^2+240\,x+120\right)}","Not used",1,"(3*x*(1 - x)^(1/2) - 4*(1 - x)^(1/2) + x^2*(1 - x)^(1/2))/((x + 1)^(1/2)*(240*x + 120*x^2 + 120))","B"
2788,0,-1,269,0.000000,"\text{Not used}","int((2*a*b^2 + x^3 - b*x*(2*a + b))/((-x*(a - x)*(b - x)^2)^(1/3)*(d*x^3 - x^2*(a*d + 2*b*d + 1) - a*b^2*d + b*d*x*(2*a + b))),x)","\int \frac{2\,a\,b^2+x^3-b\,x\,\left(2\,a+b\right)}{{\left(-x\,\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{1/3}\,\left(d\,x^3-x^2\,\left(a\,d+2\,b\,d+1\right)-a\,b^2\,d+b\,d\,x\,\left(2\,a+b\right)\right)} \,d x","Not used",1,"int((2*a*b^2 + x^3 - b*x*(2*a + b))/((-x*(a - x)*(b - x)^2)^(1/3)*(d*x^3 - x^2*(a*d + 2*b*d + 1) - a*b^2*d + b*d*x*(2*a + b))), x)","F"
2789,0,-1,269,0.000000,"\text{Not used}","int(((x - x^2)*(x^4 - x^3)^(1/4))/(x - x^2 + 1),x)","\int \frac{\left(x-x^2\right)\,{\left(x^4-x^3\right)}^{1/4}}{-x^2+x+1} \,d x","Not used",1,"int(((x - x^2)*(x^4 - x^3)^(1/4))/(x - x^2 + 1), x)","F"
2790,0,-1,269,0.000000,"\text{Not used}","int(((c + (b + a*x)^(1/2))^(1/2)*(b + a*x)^(1/2))/(x*(d + (c + (b + a*x)^(1/2))^(1/2))^(1/2)),x)","\int \frac{\sqrt{c+\sqrt{b+a\,x}}\,\sqrt{b+a\,x}}{x\,\sqrt{d+\sqrt{c+\sqrt{b+a\,x}}}} \,d x","Not used",1,"int(((c + (b + a*x)^(1/2))^(1/2)*(b + a*x)^(1/2))/(x*(d + (c + (b + a*x)^(1/2))^(1/2))^(1/2)), x)","F"
2791,0,-1,269,0.000000,"\text{Not used}","int(((c + (b + a*x)^(1/2))^(1/2)*(b + a*x)^(1/2))/(x*(d + (c + (b + a*x)^(1/2))^(1/2))^(1/2)),x)","\int \frac{\sqrt{c+\sqrt{b+a\,x}}\,\sqrt{b+a\,x}}{x\,\sqrt{d+\sqrt{c+\sqrt{b+a\,x}}}} \,d x","Not used",1,"int(((c + (b + a*x)^(1/2))^(1/2)*(b + a*x)^(1/2))/(x*(d + (c + (b + a*x)^(1/2))^(1/2))^(1/2)), x)","F"
2792,0,-1,269,0.000000,"\text{Not used}","int(1/((a*x + (a^2*x^2 - b)^(1/2))^(1/2) + 1)^(1/2),x)","\int \frac{1}{\sqrt{\sqrt{a\,x+\sqrt{a^2\,x^2-b}}+1}} \,d x","Not used",1,"int(1/((a*x + (a^2*x^2 - b)^(1/2))^(1/2) + 1)^(1/2), x)","F"
2793,0,-1,270,0.000000,"\text{Not used}","int(-((2*x - x^2*(k + 1))*(k*x - 1)*(x - 1))/((x*(k*x - 1)*(x - 1))^(2/3)*(b + x^4*(b*k^2 - 1) + x^2*(b + 4*b*k + b*k^2) - 2*b*x*(k + 1) - 2*b*k*x^3*(k + 1))),x)","\int -\frac{\left(2\,x-x^2\,\left(k+1\right)\right)\,\left(k\,x-1\right)\,\left(x-1\right)}{{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{2/3}\,\left(\left(b\,k^2-1\right)\,x^4-2\,b\,k\,\left(k+1\right)\,x^3+\left(b\,k^2+4\,b\,k+b\right)\,x^2-2\,b\,\left(k+1\right)\,x+b\right)} \,d x","Not used",1,"int(-((2*x - x^2*(k + 1))*(k*x - 1)*(x - 1))/((x*(k*x - 1)*(x - 1))^(2/3)*(b + x^4*(b*k^2 - 1) + x^2*(b + 4*b*k + b*k^2) - 2*b*x*(k + 1) - 2*b*k*x^3*(k + 1))), x)","F"
2794,0,-1,270,0.000000,"\text{Not used}","int(-((2*x*(k - 2) + 3*k*x^2 - 1)*(3*x - 3*x^2 + x^3 - 1))/((x*(k*x - 1)*(x - 1))^(2/3)*(b - 10*b*x^3 + 5*b*x^4 - b*x^5 + x^2*(10*b + k) - x*(5*b + 1))),x)","-\int \frac{\left(2\,x\,\left(k-2\right)+3\,k\,x^2-1\right)\,\left(x^3-3\,x^2+3\,x-1\right)}{{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{2/3}\,\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)} \,d x","Not used",1,"-int(((2*x*(k - 2) + 3*k*x^2 - 1)*(3*x - 3*x^2 + x^3 - 1))/((x*(k*x - 1)*(x - 1))^(2/3)*(b - 10*b*x^3 + 5*b*x^4 - b*x^5 + x^2*(10*b + k) - x*(5*b + 1))), x)","F"
2795,0,-1,270,0.000000,"\text{Not used}","int(-((2*b + a*x^4)^(1/4)*(4*b - a*x^8))/(x^6*(a*x^8 - 4*b + c*x^4)),x)","\int -\frac{{\left(a\,x^4+2\,b\right)}^{1/4}\,\left(4\,b-a\,x^8\right)}{x^6\,\left(a\,x^8+c\,x^4-4\,b\right)} \,d x","Not used",1,"int(-((2*b + a*x^4)^(1/4)*(4*b - a*x^8))/(x^6*(a*x^8 - 4*b + c*x^4)), x)","F"
2796,0,-1,270,0.000000,"\text{Not used}","int(-((2*b + a*x^4)^(1/4)*(4*b - a*x^8))/(x^6*(a*x^8 - 4*b + c*x^4)),x)","\int -\frac{{\left(a\,x^4+2\,b\right)}^{1/4}\,\left(4\,b-a\,x^8\right)}{x^6\,\left(a\,x^8+c\,x^4-4\,b\right)} \,d x","Not used",1,"int(-((2*b + a*x^4)^(1/4)*(4*b - a*x^8))/(x^6*(a*x^8 - 4*b + c*x^4)), x)","F"
2797,0,-1,270,0.000000,"\text{Not used}","int(-(b^12 - a^12*x^12)/((a^4*x^4 - b^4)^(1/2)*(b^12 + a^12*x^12)),x)","\int -\frac{b^{12}-a^{12}\,x^{12}}{\sqrt{a^4\,x^4-b^4}\,\left(a^{12}\,x^{12}+b^{12}\right)} \,d x","Not used",1,"int(-(b^12 - a^12*x^12)/((a^4*x^4 - b^4)^(1/2)*(b^12 + a^12*x^12)), x)","F"
2798,0,-1,270,0.000000,"\text{Not used}","int(-1/((x + 1)*(c + b*x + a*x^2)^(1/2) - 1),x)","\int -\frac{1}{\left(x+1\right)\,\sqrt{a\,x^2+b\,x+c}-1} \,d x","Not used",1,"int(-1/((x + 1)*(c + b*x + a*x^2)^(1/2) - 1), x)","F"
2799,0,-1,271,0.000000,"\text{Not used}","int(-((x^4 - 1)*(4*x^3 - 4*x^2 - x + 6*x^4 - 6*x^5 - 4*x^6 + 4*x^7 + x^8 - x^9 + 1)^(1/4))/(x^4 + 1),x)","-\int \frac{\left(x^4-1\right)\,{\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)}^{1/4}}{x^4+1} \,d x","Not used",1,"-int(((x^4 - 1)*(4*x^3 - 4*x^2 - x + 6*x^4 - 6*x^5 - 4*x^6 + 4*x^7 + x^8 - x^9 + 1)^(1/4))/(x^4 + 1), x)","F"
2800,0,-1,272,0.000000,"\text{Not used}","int(-(a*(a - 5*b) + x*(3*a + 5*b) - 4*x^2)/(((a - x)*(b - x))^(1/3)*(b - a^5*d + d*x^5 + x*(5*a^4*d - 1) + 10*a^2*d*x^3 - 10*a^3*d*x^2 - 5*a*d*x^4)),x)","-\int \frac{-4\,x^2+\left(3\,a+5\,b\right)\,x+a\,\left(a-5\,b\right)}{{\left(\left(a-x\right)\,\left(b-x\right)\right)}^{1/3}\,\left(b-a^5\,d+d\,x^5+x\,\left(5\,a^4\,d-1\right)+10\,a^2\,d\,x^3-10\,a^3\,d\,x^2-5\,a\,d\,x^4\right)} \,d x","Not used",1,"-int((a*(a - 5*b) + x*(3*a + 5*b) - 4*x^2)/(((a - x)*(b - x))^(1/3)*(b - a^5*d + d*x^5 + x*(5*a^4*d - 1) + 10*a^2*d*x^3 - 10*a^3*d*x^2 - 5*a*d*x^4)), x)","F"
2801,0,-1,272,0.000000,"\text{Not used}","int((x^8 + 1)/((x^8 - 1)*(x^4 - x^2)^(1/4)),x)","\int \frac{x^8+1}{\left(x^8-1\right)\,{\left(x^4-x^2\right)}^{1/4}} \,d x","Not used",1,"int((x^8 + 1)/((x^8 - 1)*(x^4 - x^2)^(1/4)), x)","F"
2802,0,-1,272,0.000000,"\text{Not used}","int((x^8 + 1)/((x^8 - 1)*(x^4 - x^2)^(1/4)),x)","\int \frac{x^8+1}{\left(x^8-1\right)\,{\left(x^4-x^2\right)}^{1/4}} \,d x","Not used",1,"int((x^8 + 1)/((x^8 - 1)*(x^4 - x^2)^(1/4)), x)","F"
2803,0,-1,273,0.000000,"\text{Not used}","int(-(a*b + x^2 - x*(a + b))/((-(a - x)*(b - x)^2)^(2/3)*(b^2*d + 2*x*(a - b*d) - a^2 + x^2*(d - 1))),x)","\int -\frac{x^2+\left(-a-b\right)\,x+a\,b}{{\left(-\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{2/3}\,\left(b^2\,d+2\,x\,\left(a-b\,d\right)-a^2+x^2\,\left(d-1\right)\right)} \,d x","Not used",1,"int(-(a*b + x^2 - x*(a + b))/((-(a - x)*(b - x)^2)^(2/3)*(b^2*d + 2*x*(a - b*d) - a^2 + x^2*(d - 1))), x)","F"
2804,0,-1,273,0.000000,"\text{Not used}","int(((x^4 + 1)^(1/2) + x^2)^(1/2)/((x^4 - 1)*(x^4 + 1)^(1/2)),x)","\int \frac{\sqrt{\sqrt{x^4+1}+x^2}}{\left(x^4-1\right)\,\sqrt{x^4+1}} \,d x","Not used",1,"int(((x^4 + 1)^(1/2) + x^2)^(1/2)/((x^4 - 1)*(x^4 + 1)^(1/2)), x)","F"
2805,0,-1,274,0.000000,"\text{Not used}","int((x^6 - 1)/((x^6 + 1)*(x^4 - x^2)^(1/3)),x)","\int \frac{x^6-1}{\left(x^6+1\right)\,{\left(x^4-x^2\right)}^{1/3}} \,d x","Not used",1,"int((x^6 - 1)/((x^6 + 1)*(x^4 - x^2)^(1/3)), x)","F"
2806,0,-1,274,0.000000,"\text{Not used}","int(((x^4 + 1)^(1/2) + x^2)^(1/2)/(x + 1),x)","\int \frac{\sqrt{\sqrt{x^4+1}+x^2}}{x+1} \,d x","Not used",1,"int(((x^4 + 1)^(1/2) + x^2)^(1/2)/(x + 1), x)","F"
2807,0,-1,275,0.000000,"\text{Not used}","int((b + a*x^2)/((b - a*x^2)*(a*x^5 + b*x^3)^(1/4)),x)","\int \frac{a\,x^2+b}{\left(b-a\,x^2\right)\,{\left(a\,x^5+b\,x^3\right)}^{1/4}} \,d x","Not used",1,"int((b + a*x^2)/((b - a*x^2)*(a*x^5 + b*x^3)^(1/4)), x)","F"
2808,0,-1,275,0.000000,"\text{Not used}","int(((x^3 + 4)*(x^3 + x^4 + 1))/((x^3 + 1)^(1/4)*(2*x^3 + x^6 + x^8 + 1)),x)","\int \frac{\left(x^3+4\right)\,\left(x^4+x^3+1\right)}{{\left(x^3+1\right)}^{1/4}\,\left(x^8+x^6+2\,x^3+1\right)} \,d x","Not used",1,"int(((x^3 + 4)*(x^3 + x^4 + 1))/((x^3 + 1)^(1/4)*(2*x^3 + x^6 + x^8 + 1)), x)","F"
2809,0,-1,275,0.000000,"\text{Not used}","int(-(x^2*(x + 1)^(1/2))/(((x + 1)^(1/2) + 1)^(1/2)*(x + 1)^(1/2) - x^2),x)","-\int \frac{x^2\,\sqrt{x+1}}{\sqrt{\sqrt{x+1}+1}\,\sqrt{x+1}-x^2} \,d x","Not used",1,"-int((x^2*(x + 1)^(1/2))/(((x + 1)^(1/2) + 1)^(1/2)*(x + 1)^(1/2) - x^2), x)","F"
2810,0,-1,275,0.000000,"\text{Not used}","int(-(x^2*(x + 1)^(1/2))/(((x + 1)^(1/2) + 1)^(1/2)*(x + 1)^(1/2) - x^2),x)","-\int \frac{x^2\,\sqrt{x+1}}{\sqrt{\sqrt{x+1}+1}\,\sqrt{x+1}-x^2} \,d x","Not used",1,"-int((x^2*(x + 1)^(1/2))/(((x + 1)^(1/2) + 1)^(1/2)*(x + 1)^(1/2) - x^2), x)","F"
2811,0,-1,276,0.000000,"\text{Not used}","int(((a*x^4 + b*x^3)^(1/4)*(b + a*x - x^4))/(b - a*x),x)","\int \frac{{\left(a\,x^4+b\,x^3\right)}^{1/4}\,\left(-x^4+a\,x+b\right)}{b-a\,x} \,d x","Not used",1,"int(((a*x^4 + b*x^3)^(1/4)*(b + a*x - x^4))/(b - a*x), x)","F"
2812,0,-1,276,0.000000,"\text{Not used}","int(-((b - 4*a + 3*x)*(3*b*x^2 - 3*b^2*x + b^3 - x^3))/((-(a - x)*(b - x)^2)^(2/3)*(a + b^4*d + d*x^4 - x*(4*b^3*d + 1) + 6*b^2*d*x^2 - 4*b*d*x^3)),x)","\int -\frac{\left(b-4\,a+3\,x\right)\,\left(b^3-3\,b^2\,x+3\,b\,x^2-x^3\right)}{{\left(-\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{2/3}\,\left(a+b^4\,d+d\,x^4-x\,\left(4\,d\,b^3+1\right)+6\,b^2\,d\,x^2-4\,b\,d\,x^3\right)} \,d x","Not used",1,"int(-((b - 4*a + 3*x)*(3*b*x^2 - 3*b^2*x + b^3 - x^3))/((-(a - x)*(b - x)^2)^(2/3)*(a + b^4*d + d*x^4 - x*(4*b^3*d + 1) + 6*b^2*d*x^2 - 4*b*d*x^3)), x)","F"
2813,0,-1,276,0.000000,"\text{Not used}","int(-(x^2*(x*(k + 1) - 2))/((x*(k*x - 1)*(x - 1))^(1/3)*(x*(2*k + 2) + x^4*(b - k^2) - x^2*(4*k + k^2 + 1) + x^3*(2*k + 2*k^2) - 1)),x)","\int -\frac{x^2\,\left(x\,\left(k+1\right)-2\right)}{{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{1/3}\,\left(\left(b-k^2\right)\,x^4+\left(2\,k^2+2\,k\right)\,x^3+\left(-k^2-4\,k-1\right)\,x^2+\left(2\,k+2\right)\,x-1\right)} \,d x","Not used",1,"int(-(x^2*(x*(k + 1) - 2))/((x*(k*x - 1)*(x - 1))^(1/3)*(x*(2*k + 2) + x^4*(b - k^2) - x^2*(4*k + k^2 + 1) + x^3*(2*k + 2*k^2) - 1)), x)","F"
2814,0,-1,276,0.000000,"\text{Not used}","int(1/(c + (a*x + (b^2 + a^2*x^2)^(1/2))^(1/2)),x)","\int \frac{1}{c+\sqrt{a\,x+\sqrt{a^2\,x^2+b^2}}} \,d x","Not used",1,"int(1/(c + (a*x + (b^2 + a^2*x^2)^(1/2))^(1/2)), x)","F"
2815,0,-1,278,0.000000,"\text{Not used}","int(((x - 7)*(x - 5*x^2 + 3*x^3 + 1)^(1/3))/((x - 1)^3*(x - 5)),x)","\int \frac{\left(x-7\right)\,{\left(3\,x^3-5\,x^2+x+1\right)}^{1/3}}{{\left(x-1\right)}^3\,\left(x-5\right)} \,d x","Not used",1,"int(((x - 7)*(x - 5*x^2 + 3*x^3 + 1)^(1/3))/((x - 1)^3*(x - 5)), x)","F"
2816,0,-1,278,0.000000,"\text{Not used}","int(-(b^2 + a^2*x^2)/((b^2 - a^2*x^2)^3*(a*x^3 - b*x^2)^(1/3)),x)","\int -\frac{a^2\,x^2+b^2}{{\left(b^2-a^2\,x^2\right)}^3\,{\left(a\,x^3-b\,x^2\right)}^{1/3}} \,d x","Not used",1,"int(-(b^2 + a^2*x^2)/((b^2 - a^2*x^2)^3*(a*x^3 - b*x^2)^(1/3)), x)","F"
2817,0,-1,278,0.000000,"\text{Not used}","int(-(d + c*x)/((a*x + (b^2 + a^2*x^2)^(1/2))^(1/2)*(d - c*x)),x)","\int -\frac{d+c\,x}{\sqrt{a\,x+\sqrt{a^2\,x^2+b^2}}\,\left(d-c\,x\right)} \,d x","Not used",1,"int(-(d + c*x)/((a*x + (b^2 + a^2*x^2)^(1/2))^(1/2)*(d - c*x)), x)","F"
2818,0,-1,279,0.000000,"\text{Not used}","int(-(a*x^4 - b*x^3)^(1/4)/(d + 2*c*x - x^2),x)","-\int \frac{{\left(a\,x^4-b\,x^3\right)}^{1/4}}{-x^2+2\,c\,x+d} \,d x","Not used",1,"-int((a*x^4 - b*x^3)^(1/4)/(d + 2*c*x - x^2), x)","F"
2819,0,-1,279,0.000000,"\text{Not used}","int(-(a*x^4 - b*x^3)^(1/4)/(d + 2*c*x - x^2),x)","-\int \frac{{\left(a\,x^4-b\,x^3\right)}^{1/4}}{-x^2+2\,c\,x+d} \,d x","Not used",1,"-int((a*x^4 - b*x^3)^(1/4)/(d + 2*c*x - x^2), x)","F"
2820,0,-1,279,0.000000,"\text{Not used}","int((x*(x*(2*k - 1) - 1)*(k*x - 1))/((x*(k*x - 1)*(x - 1))^(1/3)*(4*x + x^4*(b*k^2 - 1) - x^3*(2*b*k - 4) + x^2*(b - 6) - 1)),x)","\int \frac{x\,\left(x\,\left(2\,k-1\right)-1\right)\,\left(k\,x-1\right)}{{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{1/3}\,\left(\left(b\,k^2-1\right)\,x^4+\left(4-2\,b\,k\right)\,x^3+\left(b-6\right)\,x^2+4\,x-1\right)} \,d x","Not used",1,"int((x*(x*(2*k - 1) - 1)*(k*x - 1))/((x*(k*x - 1)*(x - 1))^(1/3)*(4*x + x^4*(b*k^2 - 1) - x^3*(2*b*k - 4) + x^2*(b - 6) - 1)), x)","F"
2821,0,-1,279,0.000000,"\text{Not used}","int(-(x*(3*k - 2) + 3*k^2*x^3 - x^2*(k + 4*k^2) + 1)/((x*(k*x - 1)*(x - 1))^(1/3)*(b + x^2*(10*b*k^2 + 1) - x*(5*b*k + 1) - 10*b*k^3*x^3 + 5*b*k^4*x^4 - b*k^5*x^5)),x)","-\int \frac{x\,\left(3\,k-2\right)+3\,k^2\,x^3-x^2\,\left(4\,k^2+k\right)+1}{{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{1/3}\,\left(b+x^2\,\left(10\,b\,k^2+1\right)-x\,\left(5\,b\,k+1\right)-10\,b\,k^3\,x^3+5\,b\,k^4\,x^4-b\,k^5\,x^5\right)} \,d x","Not used",1,"-int((x*(3*k - 2) + 3*k^2*x^3 - x^2*(k + 4*k^2) + 1)/((x*(k*x - 1)*(x - 1))^(1/3)*(b + x^2*(10*b*k^2 + 1) - x*(5*b*k + 1) - 10*b*k^3*x^3 + 5*b*k^4*x^4 - b*k^5*x^5)), x)","F"
2822,0,-1,282,0.000000,"\text{Not used}","int((d + c*x)^2/(a*x + (b^2 + a^2*x^2)^(1/2))^(1/2),x)","\int \frac{{\left(d+c\,x\right)}^2}{\sqrt{a\,x+\sqrt{a^2\,x^2+b^2}}} \,d x","Not used",1,"int((d + c*x)^2/(a*x + (b^2 + a^2*x^2)^(1/2))^(1/2), x)","F"
2823,0,-1,282,0.000000,"\text{Not used}","int(-((3*x^3 - 3*x - 9*x^4 + 3*x^6 - 9*x^7 + x^9 - 3*x^10 + 1)^(1/3) - 1)/((3*x^3 - 3*x - 9*x^4 + 3*x^6 - 9*x^7 + x^9 - 3*x^10 + 1)^(1/3) + x^2),x)","-\int \frac{{\left(-3\,x^{10}+x^9-9\,x^7+3\,x^6-9\,x^4+3\,x^3-3\,x+1\right)}^{1/3}-1}{{\left(-3\,x^{10}+x^9-9\,x^7+3\,x^6-9\,x^4+3\,x^3-3\,x+1\right)}^{1/3}+x^2} \,d x","Not used",1,"-int(((3*x^3 - 3*x - 9*x^4 + 3*x^6 - 9*x^7 + x^9 - 3*x^10 + 1)^(1/3) - 1)/((3*x^3 - 3*x - 9*x^4 + 3*x^6 - 9*x^7 + x^9 - 3*x^10 + 1)^(1/3) + x^2), x)","F"
2824,0,-1,285,0.000000,"\text{Not used}","int(-(k*x - 1)/((x*(k - 2) + 1)*(x*(k*x - 1)*(x - 1))^(2/3)),x)","-\int \frac{k\,x-1}{\left(x\,\left(k-2\right)+1\right)\,{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{2/3}} \,d x","Not used",1,"-int((k*x - 1)/((x*(k - 2) + 1)*(x*(k*x - 1)*(x - 1))^(2/3)), x)","F"
2825,0,-1,285,0.000000,"\text{Not used}","int((x^2 + x^3 + 1)/((x^2 + x^3)^(1/3)*(x^2 + x^3 - 1)),x)","\int \frac{x^3+x^2+1}{{\left(x^3+x^2\right)}^{1/3}\,\left(x^3+x^2-1\right)} \,d x","Not used",1,"int((x^2 + x^3 + 1)/((x^2 + x^3)^(1/3)*(x^2 + x^3 - 1)), x)","F"
2826,0,-1,285,0.000000,"\text{Not used}","int((x^2 + x^3 + 1)/((x^2 + x^3)^(1/3)*(x^2 + x^3 - 1)),x)","\int \frac{x^3+x^2+1}{{\left(x^3+x^2\right)}^{1/3}\,\left(x^3+x^2-1\right)} \,d x","Not used",1,"int((x^2 + x^3 + 1)/((x^2 + x^3)^(1/3)*(x^2 + x^3 - 1)), x)","F"
2827,0,-1,286,0.000000,"\text{Not used}","int((a*x + (a*x - b)^(1/2))^(1/2)/(x*(a*x - b)^(1/2)),x)","\int \frac{\sqrt{a\,x+\sqrt{a\,x-b}}}{x\,\sqrt{a\,x-b}} \,d x","Not used",1,"int((a*x + (a*x - b)^(1/2))^(1/2)/(x*(a*x - b)^(1/2)), x)","F"
2828,0,-1,286,0.000000,"\text{Not used}","int(((b + a^2*x^2)^(1/2) + a*x)^(1/2)*(c + ((b + a^2*x^2)^(1/2) + a*x)^(1/2))^(1/2),x)","\int \sqrt{\sqrt{a^2\,x^2+b}+a\,x}\,\sqrt{c+\sqrt{\sqrt{a^2\,x^2+b}+a\,x}} \,d x","Not used",1,"int(((b + a^2*x^2)^(1/2) + a*x)^(1/2)*(c + ((b + a^2*x^2)^(1/2) + a*x)^(1/2))^(1/2), x)","F"
2829,0,-1,287,0.000000,"\text{Not used}","int(x^4*((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)*(b + a^2*x^4)^(1/2),x)","\int x^4\,\sqrt{\sqrt{a^2\,x^4+b}+a\,x^2}\,\sqrt{a^2\,x^4+b} \,d x","Not used",1,"int(x^4*((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)*(b + a^2*x^4)^(1/2), x)","F"
2830,0,-1,287,0.000000,"\text{Not used}","int((c + ((b + a^2*x^2)^(1/2) + a*x)^(1/2))^(1/2)/(((b + a^2*x^2)^(1/2) + a*x)^(1/2)*(b + a^2*x^2)^(3/2)),x)","\int \frac{\sqrt{c+\sqrt{\sqrt{a^2\,x^2+b}+a\,x}}}{\sqrt{\sqrt{a^2\,x^2+b}+a\,x}\,{\left(a^2\,x^2+b\right)}^{3/2}} \,d x","Not used",1,"int((c + ((b + a^2*x^2)^(1/2) + a*x)^(1/2))^(1/2)/(((b + a^2*x^2)^(1/2) + a*x)^(1/2)*(b + a^2*x^2)^(3/2)), x)","F"
2831,0,-1,287,0.000000,"\text{Not used}","int((c + ((b + a^2*x^2)^(1/2) + a*x)^(1/2))^(1/2)/(((b + a^2*x^2)^(1/2) + a*x)^(1/2)*(b + a^2*x^2)^(3/2)),x)","\int \frac{\sqrt{c+\sqrt{\sqrt{a^2\,x^2+b}+a\,x}}}{\sqrt{\sqrt{a^2\,x^2+b}+a\,x}\,{\left(a^2\,x^2+b\right)}^{3/2}} \,d x","Not used",1,"int((c + ((b + a^2*x^2)^(1/2) + a*x)^(1/2))^(1/2)/(((b + a^2*x^2)^(1/2) + a*x)^(1/2)*(b + a^2*x^2)^(3/2)), x)","F"
2832,0,-1,288,0.000000,"\text{Not used}","int(x^2/((b + a*x^2)*(x + x^3)^(1/3)),x)","\int \frac{x^2}{\left(a\,x^2+b\right)\,{\left(x^3+x\right)}^{1/3}} \,d x","Not used",1,"int(x^2/((b + a*x^2)*(x + x^3)^(1/3)), x)","F"
2833,0,-1,288,0.000000,"\text{Not used}","int((x^6 + 1)/((x^2 + x^4)^(1/3)*(x^6 - 1)),x)","\int \frac{x^6+1}{{\left(x^4+x^2\right)}^{1/3}\,\left(x^6-1\right)} \,d x","Not used",1,"int((x^6 + 1)/((x^2 + x^4)^(1/3)*(x^6 - 1)), x)","F"
2834,0,-1,288,0.000000,"\text{Not used}","int(((3*x^4 - 1)*(3*x^4 - 2)^(1/2))/(x^3*(3*x^8 - 3*x^4 + 1)),x)","\int \frac{\left(3\,x^4-1\right)\,\sqrt{3\,x^4-2}}{x^3\,\left(3\,x^8-3\,x^4+1\right)} \,d x","Not used",1,"int(((3*x^4 - 1)*(3*x^4 - 2)^(1/2))/(x^3*(3*x^8 - 3*x^4 + 1)), x)","F"
2835,0,-1,288,0.000000,"\text{Not used}","int(1/((a^2*x^2 - b*x)^(5/2)*(a*x^2 + x*(a^2*x^2 - b*x)^(1/2))^(3/2)),x)","\int \frac{1}{{\left(a^2\,x^2-b\,x\right)}^{5/2}\,{\left(a\,x^2+x\,\sqrt{a^2\,x^2-b\,x}\right)}^{3/2}} \,d x","Not used",1,"int(1/((a^2*x^2 - b*x)^(5/2)*(a*x^2 + x*(a^2*x^2 - b*x)^(1/2))^(3/2)), x)","F"
2836,0,-1,289,0.000000,"\text{Not used}","int(((b - x)*(a - 2*b + x))/(((a - x)*(b - x))^(1/3)*(x^2*(d - 6*a^2) - 2*x*(b*d - 2*a^3) + b^2*d + 4*a*x^3 - a^4 - x^4)),x)","\int \frac{\left(b-x\right)\,\left(a-2\,b+x\right)}{{\left(\left(a-x\right)\,\left(b-x\right)\right)}^{1/3}\,\left(x^2\,\left(d-6\,a^2\right)-2\,x\,\left(b\,d-2\,a^3\right)+b^2\,d+4\,a\,x^3-a^4-x^4\right)} \,d x","Not used",1,"int(((b - x)*(a - 2*b + x))/(((a - x)*(b - x))^(1/3)*(x^2*(d - 6*a^2) - 2*x*(b*d - 2*a^3) + b^2*d + 4*a*x^3 - a^4 - x^4)), x)","F"
2837,0,-1,289,0.000000,"\text{Not used}","int(-(x*(x*(k - 2) + 1)*(x - 1))/((x*(k*x - 1)*(x - 1))^(1/3)*(x^4*(b - k^4) + x^2*(b - 6*k^2) + 4*k*x - x^3*(2*b - 4*k^3) - 1)),x)","-\int \frac{x\,\left(x\,\left(k-2\right)+1\right)\,\left(x-1\right)}{{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{1/3}\,\left(\left(b-k^4\right)\,x^4+\left(4\,k^3-2\,b\right)\,x^3+\left(b-6\,k^2\right)\,x^2+4\,k\,x-1\right)} \,d x","Not used",1,"-int((x*(x*(k - 2) + 1)*(x - 1))/((x*(k*x - 1)*(x - 1))^(1/3)*(x^4*(b - k^4) + x^2*(b - 6*k^2) + 4*k*x - x^3*(2*b - 4*k^3) - 1)), x)","F"
2838,0,-1,289,0.000000,"\text{Not used}","int(((x^3 - 1)^(2/3)*(x^6 + 4))/(x^6*(x^6 - 4)),x)","\int \frac{{\left(x^3-1\right)}^{2/3}\,\left(x^6+4\right)}{x^6\,\left(x^6-4\right)} \,d x","Not used",1,"int(((x^3 - 1)^(2/3)*(x^6 + 4))/(x^6*(x^6 - 4)), x)","F"
2839,0,-1,289,0.000000,"\text{Not used}","int((c + (a*x + (a^2*x^2 - b)^(1/2))^(1/4))^(1/6)/(a^2*x^2 - b)^(1/2),x)","\int \frac{{\left(c+{\left(a\,x+\sqrt{a^2\,x^2-b}\right)}^{1/4}\right)}^{1/6}}{\sqrt{a^2\,x^2-b}} \,d x","Not used",1,"int((c + (a*x + (a^2*x^2 - b)^(1/2))^(1/4))^(1/6)/(a^2*x^2 - b)^(1/2), x)","F"
2840,0,-1,290,0.000000,"\text{Not used}","int(-((b - x)*(a*b - 2*b*x + x^2))/((b*d + x^2 - x*(a + d))*(-x*(a - x)*(b - x)^2)^(2/3)),x)","\int -\frac{\left(b-x\right)\,\left(x^2-2\,b\,x+a\,b\right)}{\left(x^2+\left(-a-d\right)\,x+b\,d\right)\,{\left(-x\,\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{2/3}} \,d x","Not used",1,"int(-((b - x)*(a*b - 2*b*x + x^2))/((b*d + x^2 - x*(a + d))*(-x*(a - x)*(b - x)^2)^(2/3)), x)","F"
2841,0,-1,290,0.000000,"\text{Not used}","int(-(d - c*x^4)/(x*(a*x^3 - b)^(1/3)),x)","-\int \frac{d-c\,x^4}{x\,{\left(a\,x^3-b\right)}^{1/3}} \,d x","Not used",1,"-int((d - c*x^4)/(x*(a*x^3 - b)^(1/3)), x)","F"
2842,0,-1,291,0.000000,"\text{Not used}","int((a*b - 2*b*x + x^2)/((-x*(a - x)*(b - x)^2)^(1/3)*(b - x*(a*d + 1) + d*x^2)),x)","\int \frac{x^2-2\,b\,x+a\,b}{{\left(-x\,\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{1/3}\,\left(d\,x^2+\left(-a\,d-1\right)\,x+b\right)} \,d x","Not used",1,"int((a*b - 2*b*x + x^2)/((-x*(a - x)*(b - x)^2)^(1/3)*(b - x*(a*d + 1) + d*x^2)), x)","F"
2843,0,-1,291,0.000000,"\text{Not used}","int(-(a*b^2 + 3*a*x^2 - x^3 - b*x*(4*a - b))/((-x*(a - x)*(b - x)^2)^(1/3)*(x*(2*a + b^2*d) + d*x^3 - x^2*(2*b*d + 1) - a^2)),x)","\int -\frac{a\,b^2+3\,a\,x^2-x^3-b\,x\,\left(4\,a-b\right)}{{\left(-x\,\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{1/3}\,\left(x\,\left(d\,b^2+2\,a\right)+d\,x^3-x^2\,\left(2\,b\,d+1\right)-a^2\right)} \,d x","Not used",1,"int(-(a*b^2 + 3*a*x^2 - x^3 - b*x*(4*a - b))/((-x*(a - x)*(b - x)^2)^(1/3)*(x*(2*a + b^2*d) + d*x^3 - x^2*(2*b*d + 1) - a^2)), x)","F"
2844,0,-1,291,0.000000,"\text{Not used}","int(-((b - 4*a + 3*x)*(3*b*x^2 - 3*b^2*x + b^3 - x^3))/((-(a - x)*(b - x)^2)^(2/3)*(a*d - 4*b*x^3 - x*(d + 4*b^3) + b^4 + x^4 + 6*b^2*x^2)),x)","\int -\frac{\left(b-4\,a+3\,x\right)\,\left(b^3-3\,b^2\,x+3\,b\,x^2-x^3\right)}{{\left(-\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{2/3}\,\left(a\,d-4\,b\,x^3-x\,\left(4\,b^3+d\right)+b^4+x^4+6\,b^2\,x^2\right)} \,d x","Not used",1,"int(-((b - 4*a + 3*x)*(3*b*x^2 - 3*b^2*x + b^3 - x^3))/((-(a - x)*(b - x)^2)^(2/3)*(a*d - 4*b*x^3 - x*(d + 4*b^3) + b^4 + x^4 + 6*b^2*x^2)), x)","F"
2845,0,-1,291,0.000000,"\text{Not used}","int(-(a*x^4 - b*x^3)^(1/4)/(x*(d - c*x)),x)","\int -\frac{{\left(a\,x^4-b\,x^3\right)}^{1/4}}{x\,\left(d-c\,x\right)} \,d x","Not used",1,"int(-(a*x^4 - b*x^3)^(1/4)/(x*(d - c*x)), x)","F"
2846,0,-1,291,0.000000,"\text{Not used}","int(((x^2*(a + b) - 2*a*b*x)*(a - x)*(b - x))/((x*(a - x)*(b - x))^(2/3)*(x^4*(d - 1) + a^2*b^2*d + d*x^2*(4*a*b + a^2 + b^2) - 2*d*x^3*(a + b) - 2*a*b*d*x*(a + b))),x)","\int \frac{\left(x^2\,\left(a+b\right)-2\,a\,b\,x\right)\,\left(a-x\right)\,\left(b-x\right)}{{\left(x\,\left(a-x\right)\,\left(b-x\right)\right)}^{2/3}\,\left(x^4\,\left(d-1\right)+a^2\,b^2\,d+d\,x^2\,\left(a^2+4\,a\,b+b^2\right)-2\,d\,x^3\,\left(a+b\right)-2\,a\,b\,d\,x\,\left(a+b\right)\right)} \,d x","Not used",1,"int(((x^2*(a + b) - 2*a*b*x)*(a - x)*(b - x))/((x*(a - x)*(b - x))^(2/3)*(x^4*(d - 1) + a^2*b^2*d + d*x^2*(4*a*b + a^2 + b^2) - 2*d*x^3*(a + b) - 2*a*b*d*x*(a + b))), x)","F"
2847,0,-1,291,0.000000,"\text{Not used}","int(-(x^3 + x^6 + 1)/((x^3 + x^5)^(1/4)*(x^6 - 1)),x)","\int -\frac{x^6+x^3+1}{{\left(x^5+x^3\right)}^{1/4}\,\left(x^6-1\right)} \,d x","Not used",1,"int(-(x^3 + x^6 + 1)/((x^3 + x^5)^(1/4)*(x^6 - 1)), x)","F"
2848,0,-1,293,0.000000,"\text{Not used}","int(-(a + b*x - x^2*(b + a*k^2))/((k^2*x^2 - 2*x + 1)*(x*(k^2*x - 1)*(x - 1))^(1/2)),x)","\int -\frac{\left(-a\,k^2-b\right)\,x^2+b\,x+a}{\left(k^2\,x^2-2\,x+1\right)\,\sqrt{x\,\left(k^2\,x-1\right)\,\left(x-1\right)}} \,d x","Not used",1,"int(-(a + b*x - x^2*(b + a*k^2))/((k^2*x^2 - 2*x + 1)*(x*(k^2*x - 1)*(x - 1))^(1/2)), x)","F"
2849,0,-1,293,0.000000,"\text{Not used}","int((x^8 - 2*x^4 + 1)/((x^4 - 1)^(1/4)*(2*x^8 - 2*x^4 + 1)),x)","\int \frac{x^8-2\,x^4+1}{{\left(x^4-1\right)}^{1/4}\,\left(2\,x^8-2\,x^4+1\right)} \,d x","Not used",1,"int((x^8 - 2*x^4 + 1)/((x^4 - 1)^(1/4)*(2*x^8 - 2*x^4 + 1)), x)","F"
2850,0,-1,293,0.000000,"\text{Not used}","int((c + ((b + a^2*x^2)^(1/2) + a*x)^(1/2))^(1/2),x)","\int \sqrt{c+\sqrt{\sqrt{a^2\,x^2+b}+a\,x}} \,d x","Not used",1,"int((c + ((b + a^2*x^2)^(1/2) + a*x)^(1/2))^(1/2), x)","F"
2851,0,-1,294,0.000000,"\text{Not used}","int(x^3/((-x^2*(a - x))^(1/3)*(4*a*x^3 + 4*a^3*x - a^4 - 6*a^2*x^2 + x^4*(d - 1))),x)","\int \frac{x^3}{{\left(-x^2\,\left(a-x\right)\right)}^{1/3}\,\left(-a^4+4\,a^3\,x-6\,a^2\,x^2+4\,a\,x^3+\left(d-1\right)\,x^4\right)} \,d x","Not used",1,"int(x^3/((-x^2*(a - x))^(1/3)*(4*a*x^3 + 4*a^3*x - a^4 - 6*a^2*x^2 + x^4*(d - 1))), x)","F"
2852,0,-1,294,0.000000,"\text{Not used}","int((c + (x*(a^2*x^2 - b)^(1/2) + a*x^2)^(1/2))^(1/2)/(a^2*x^2 - b)^(1/2),x)","\int \frac{\sqrt{c+\sqrt{x\,\sqrt{a^2\,x^2-b}+a\,x^2}}}{\sqrt{a^2\,x^2-b}} \,d x","Not used",1,"int((c + (x*(a^2*x^2 - b)^(1/2) + a*x^2)^(1/2))^(1/2)/(a^2*x^2 - b)^(1/2), x)","F"
2853,0,-1,296,0.000000,"\text{Not used}","int(-(2*x*(b*c - a^2) - x^2*(b - 2*a + c) + a*(a*b + a*c - 2*b*c))/((-(a - x)*(b - x)*(c - x))^(2/3)*(x*(b + c - 2*a*d) - b*c + a^2*d + x^2*(d - 1))),x)","-\int \frac{2\,x\,\left(b\,c-a^2\right)-x^2\,\left(b-2\,a+c\right)+a\,\left(a\,b+a\,c-2\,b\,c\right)}{{\left(-\left(a-x\right)\,\left(b-x\right)\,\left(c-x\right)\right)}^{2/3}\,\left(x\,\left(b+c-2\,a\,d\right)-b\,c+a^2\,d+x^2\,\left(d-1\right)\right)} \,d x","Not used",1,"-int((2*x*(b*c - a^2) - x^2*(b - 2*a + c) + a*(a*b + a*c - 2*b*c))/((-(a - x)*(b - x)*(c - x))^(2/3)*(x*(b + c - 2*a*d) - b*c + a^2*d + x^2*(d - 1))), x)","F"
2854,0,-1,297,0.000000,"\text{Not used}","int(-(x^2*(2*a*b - x*(a + b)))/((x*(a - x)*(b - x))^(1/3)*(2*x^3*(a + b) - x^2*(4*a*b + a^2 + b^2) - a^2*b^2 + x^4*(d - 1) + 2*a*b*x*(a + b))),x)","-\int \frac{x^2\,\left(2\,a\,b-x\,\left(a+b\right)\right)}{{\left(x\,\left(a-x\right)\,\left(b-x\right)\right)}^{1/3}\,\left(2\,x^3\,\left(a+b\right)-x^2\,\left(a^2+4\,a\,b+b^2\right)-a^2\,b^2+x^4\,\left(d-1\right)+2\,a\,b\,x\,\left(a+b\right)\right)} \,d x","Not used",1,"-int((x^2*(2*a*b - x*(a + b)))/((x*(a - x)*(b - x))^(1/3)*(2*x^3*(a + b) - x^2*(4*a*b + a^2 + b^2) - a^2*b^2 + x^4*(d - 1) + 2*a*b*x*(a + b))), x)","F"
2855,0,-1,297,0.000000,"\text{Not used}","int(-(x^6 + 1)/((x^3 + x^5)^(1/4)*(x^6 - 1)),x)","\int -\frac{x^6+1}{{\left(x^5+x^3\right)}^{1/4}\,\left(x^6-1\right)} \,d x","Not used",1,"int(-(x^6 + 1)/((x^3 + x^5)^(1/4)*(x^6 - 1)), x)","F"
2856,0,-1,297,0.000000,"\text{Not used}","int(-(b^16 + a^16*x^16)/((a^4*x^4 - b^4)^(1/2)*(b^16 - a^16*x^16)),x)","\int -\frac{a^{16}\,x^{16}+b^{16}}{\sqrt{a^4\,x^4-b^4}\,\left(b^{16}-a^{16}\,x^{16}\right)} \,d x","Not used",1,"int(-(b^16 + a^16*x^16)/((a^4*x^4 - b^4)^(1/2)*(b^16 - a^16*x^16)), x)","F"
2857,0,-1,299,0.000000,"\text{Not used}","int((a^3*x^3 - b^2*x^2)^(1/3)/(b + a*x^2),x)","\int \frac{{\left(a^3\,x^3-b^2\,x^2\right)}^{1/3}}{a\,x^2+b} \,d x","Not used",1,"int((a^3*x^3 - b^2*x^2)^(1/3)/(b + a*x^2), x)","F"
2858,0,-1,299,0.000000,"\text{Not used}","int((a^3*x^3 - b^2*x^2)^(1/3)/(b + a*x^2),x)","\int \frac{{\left(a^3\,x^3-b^2\,x^2\right)}^{1/3}}{a\,x^2+b} \,d x","Not used",1,"int((a^3*x^3 - b^2*x^2)^(1/3)/(b + a*x^2), x)","F"
2859,0,-1,299,0.000000,"\text{Not used}","int(-(b^8 + x^4 + a^8*x^8)/((a^4*x^4 - b^4)^(1/2)*(b^8 - a^8*x^8)),x)","\int -\frac{a^8\,x^8+b^8+x^4}{\sqrt{a^4\,x^4-b^4}\,\left(b^8-a^8\,x^8\right)} \,d x","Not used",1,"int(-(b^8 + x^4 + a^8*x^8)/((a^4*x^4 - b^4)^(1/2)*(b^8 - a^8*x^8)), x)","F"
2860,0,-1,300,0.000000,"\text{Not used}","int(-(a^3*x^3 - b^2*x^2)^(1/3)/(b - a*x^2),x)","-\int \frac{{\left(a^3\,x^3-b^2\,x^2\right)}^{1/3}}{b-a\,x^2} \,d x","Not used",1,"-int((a^3*x^3 - b^2*x^2)^(1/3)/(b - a*x^2), x)","F"
2861,0,-1,300,0.000000,"\text{Not used}","int(-(a^3*x^3 - b^2*x^2)^(1/3)/(b - a*x^2),x)","-\int \frac{{\left(a^3\,x^3-b^2\,x^2\right)}^{1/3}}{b-a\,x^2} \,d x","Not used",1,"-int((a^3*x^3 - b^2*x^2)^(1/3)/(b - a*x^2), x)","F"
2862,0,-1,301,0.000000,"\text{Not used}","int(-(b - x)/((-(a - x)*(b - x)^2)^(2/3)*(a - b*d + x*(d - 1))),x)","\int -\frac{b-x}{{\left(-\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{2/3}\,\left(a-b\,d+x\,\left(d-1\right)\right)} \,d x","Not used",1,"int(-(b - x)/((-(a - x)*(b - x)^2)^(2/3)*(a - b*d + x*(d - 1))), x)","F"
2863,0,-1,301,0.000000,"\text{Not used}","int(((x + (x^2 - b)^(1/2))^(1/2)*(c + x^4)*(x^2 - b)^(1/2))/x,x)","\int \frac{\sqrt{x+\sqrt{x^2-b}}\,\left(x^4+c\right)\,\sqrt{x^2-b}}{x} \,d x","Not used",1,"int(((x + (x^2 - b)^(1/2))^(1/2)*(c + x^4)*(x^2 - b)^(1/2))/x, x)","F"
2864,0,-1,303,0.000000,"\text{Not used}","int(-x^8/((a^4*x^4 - b^4)^(1/2)*(b^16 - a^16*x^16)),x)","-\int \frac{x^8}{\sqrt{a^4\,x^4-b^4}\,\left(b^{16}-a^{16}\,x^{16}\right)} \,d x","Not used",1,"-int(x^8/((a^4*x^4 - b^4)^(1/2)*(b^16 - a^16*x^16)), x)","F"
2865,0,-1,304,0.000000,"\text{Not used}","int(-x^2/((x^3 - x)^(1/3)*(b - a*x^2)),x)","-\int \frac{x^2}{{\left(x^3-x\right)}^{1/3}\,\left(b-a\,x^2\right)} \,d x","Not used",1,"-int(x^2/((x^3 - x)^(1/3)*(b - a*x^2)), x)","F"
2866,0,-1,304,0.000000,"\text{Not used}","int(((x^4 + 1)*(x + (x^2 + 1)^(1/2))^(1/2))/(x^4 - 1),x)","\int \frac{\left(x^4+1\right)\,\sqrt{x+\sqrt{x^2+1}}}{x^4-1} \,d x","Not used",1,"int(((x^4 + 1)*(x + (x^2 + 1)^(1/2))^(1/2))/(x^4 - 1), x)","F"
2867,0,-1,305,0.000000,"\text{Not used}","int(((a - x)*(b - x))/((-(a - x)*(b - x)^2)^(2/3)*(a^2*d + 2*x*(b - a*d) - b^2 + x^2*(d - 1))),x)","\int \frac{\left(a-x\right)\,\left(b-x\right)}{{\left(-\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{2/3}\,\left(a^2\,d+2\,x\,\left(b-a\,d\right)-b^2+x^2\,\left(d-1\right)\right)} \,d x","Not used",1,"int(((a - x)*(b - x))/((-(a - x)*(b - x)^2)^(2/3)*(a^2*d + 2*x*(b - a*d) - b^2 + x^2*(d - 1))), x)","F"
2868,0,-1,305,0.000000,"\text{Not used}","int((a*b + x^2 - x*(a + b))/((-(a - x)*(b - x)^2)^(2/3)*(a^2*d + 2*x*(b - a*d) - b^2 + x^2*(d - 1))),x)","\int \frac{x^2+\left(-a-b\right)\,x+a\,b}{{\left(-\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{2/3}\,\left(a^2\,d+2\,x\,\left(b-a\,d\right)-b^2+x^2\,\left(d-1\right)\right)} \,d x","Not used",1,"int((a*b + x^2 - x*(a + b))/((-(a - x)*(b - x)^2)^(2/3)*(a^2*d + 2*x*(b - a*d) - b^2 + x^2*(d - 1))), x)","F"
2869,0,-1,305,0.000000,"\text{Not used}","int(-x/((c + (b + a*x)^(1/2))^(1/2)*(b + a*x)^(1/2) - x^2),x)","-\int \frac{x}{\sqrt{c+\sqrt{b+a\,x}}\,\sqrt{b+a\,x}-x^2} \,d x","Not used",1,"-int(x/((c + (b + a*x)^(1/2))^(1/2)*(b + a*x)^(1/2) - x^2), x)","F"
2870,0,-1,305,0.000000,"\text{Not used}","int(-x/((c + (b + a*x)^(1/2))^(1/2)*(b + a*x)^(1/2) - x^2),x)","-\int \frac{x}{\sqrt{c+\sqrt{b+a\,x}}\,\sqrt{b+a\,x}-x^2} \,d x","Not used",1,"-int(x/((c + (b + a*x)^(1/2))^(1/2)*(b + a*x)^(1/2) - x^2), x)","F"
2871,0,-1,306,0.000000,"\text{Not used}","int((a*b - 2*b*x + x^2)/((b*d + x^2 - x*(a + d))*(-x*(a - x)*(b - x)^2)^(1/3)),x)","\int \frac{x^2-2\,b\,x+a\,b}{\left(x^2+\left(-a-d\right)\,x+b\,d\right)\,{\left(-x\,\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{1/3}} \,d x","Not used",1,"int((a*b - 2*b*x + x^2)/((b*d + x^2 - x*(a + d))*(-x*(a - x)*(b - x)^2)^(1/3)), x)","F"
2872,0,-1,306,0.000000,"\text{Not used}","int(-(a*b^2 + 3*a*x^2 - x^3 - b*x*(4*a - b))/((-x*(a - x)*(b - x)^2)^(1/3)*(x*(2*a*d + b^2) - a^2*d - x^2*(2*b + d) + x^3)),x)","\int -\frac{a\,b^2+3\,a\,x^2-x^3-b\,x\,\left(4\,a-b\right)}{{\left(-x\,\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{1/3}\,\left(x\,\left(b^2+2\,a\,d\right)-a^2\,d-x^2\,\left(2\,b+d\right)+x^3\right)} \,d x","Not used",1,"int(-(a*b^2 + 3*a*x^2 - x^3 - b*x*(4*a - b))/((-x*(a - x)*(b - x)^2)^(1/3)*(x*(2*a*d + b^2) - a^2*d - x^2*(2*b + d) + x^3)), x)","F"
2873,0,-1,306,0.000000,"\text{Not used}","int(-(d - c*x^7)/(x*(a*x^3 - b)^(1/3)),x)","-\int \frac{d-c\,x^7}{x\,{\left(a\,x^3-b\right)}^{1/3}} \,d x","Not used",1,"-int((d - c*x^7)/(x*(a*x^3 - b)^(1/3)), x)","F"
2874,0,-1,306,0.000000,"\text{Not used}","int((c + (b + a*x)^(1/2))^(1/2)/(x - (b + a*x)^(1/2)),x)","\int \frac{\sqrt{c+\sqrt{b+a\,x}}}{x-\sqrt{b+a\,x}} \,d x","Not used",1,"int((c + (b + a*x)^(1/2))^(1/2)/(x - (b + a*x)^(1/2)), x)","F"
2875,0,-1,308,0.000000,"\text{Not used}","int((x + 1)/((2*x + 1)*(27*x + 36*x^2 + 28*x^3 + 9*x^4 + x^5 + 27)^(1/3)),x)","\int \frac{x+1}{\left(2\,x+1\right)\,{\left(x^5+9\,x^4+28\,x^3+36\,x^2+27\,x+27\right)}^{1/3}} \,d x","Not used",1,"int((x + 1)/((2*x + 1)*(27*x + 36*x^2 + 28*x^3 + 9*x^4 + x^5 + 27)^(1/3)), x)","F"
2876,0,-1,310,0.000000,"\text{Not used}","int((b*x - a*x^3)/((a^3*x^3 + b^2*x^2)^(1/3)*(b - 2*a*x^3)),x)","\int \frac{b\,x-a\,x^3}{{\left(a^3\,x^3+b^2\,x^2\right)}^{1/3}\,\left(b-2\,a\,x^3\right)} \,d x","Not used",1,"int((b*x - a*x^3)/((a^3*x^3 + b^2*x^2)^(1/3)*(b - 2*a*x^3)), x)","F"
2877,0,-1,310,0.000000,"\text{Not used}","int((b*x - a*x^3)/((a^3*x^3 + b^2*x^2)^(1/3)*(b - 2*a*x^3)),x)","\int \frac{b\,x-a\,x^3}{{\left(a^3\,x^3+b^2\,x^2\right)}^{1/3}\,\left(b-2\,a\,x^3\right)} \,d x","Not used",1,"int((b*x - a*x^3)/((a^3*x^3 + b^2*x^2)^(1/3)*(b - 2*a*x^3)), x)","F"
2878,0,-1,310,0.000000,"\text{Not used}","int((b*x + a*x^3)/((a^3*x^3 + b^2*x^2)^(1/3)*(b + 2*a*x^3)),x)","\int \frac{a\,x^3+b\,x}{{\left(a^3\,x^3+b^2\,x^2\right)}^{1/3}\,\left(2\,a\,x^3+b\right)} \,d x","Not used",1,"int((b*x + a*x^3)/((a^3*x^3 + b^2*x^2)^(1/3)*(b + 2*a*x^3)), x)","F"
2879,0,-1,310,0.000000,"\text{Not used}","int(-(x*(a*b - x*(2*a - b))*(b - x))/((x*(a - x)*(b - x))^(1/3)*(x^2*(b^2*d - 6*a^2) + 2*x^3*(2*a - b*d) + 4*a^3*x - a^4 + x^4*(d - 1))),x)","\int -\frac{x\,\left(a\,b-x\,\left(2\,a-b\right)\right)\,\left(b-x\right)}{{\left(x\,\left(a-x\right)\,\left(b-x\right)\right)}^{1/3}\,\left(x^2\,\left(b^2\,d-6\,a^2\right)+2\,x^3\,\left(2\,a-b\,d\right)+4\,a^3\,x-a^4+x^4\,\left(d-1\right)\right)} \,d x","Not used",1,"int(-(x*(a*b - x*(2*a - b))*(b - x))/((x*(a - x)*(b - x))^(1/3)*(x^2*(b^2*d - 6*a^2) + 2*x^3*(2*a - b*d) + 4*a^3*x - a^4 + x^4*(d - 1))), x)","F"
2880,0,-1,311,0.000000,"\text{Not used}","int(-(a*b + a*c - 2*b*c + x*(b - 2*a + c))/((-(a - x)*(b - x)*(c - x))^(1/3)*(x*(b + c - 2*a*d) - b*c + a^2*d + x^2*(d - 1))),x)","\int -\frac{a\,b+a\,c-2\,b\,c+x\,\left(b-2\,a+c\right)}{{\left(-\left(a-x\right)\,\left(b-x\right)\,\left(c-x\right)\right)}^{1/3}\,\left(x\,\left(b+c-2\,a\,d\right)-b\,c+a^2\,d+x^2\,\left(d-1\right)\right)} \,d x","Not used",1,"int(-(a*b + a*c - 2*b*c + x*(b - 2*a + c))/((-(a - x)*(b - x)*(c - x))^(1/3)*(x*(b + c - 2*a*d) - b*c + a^2*d + x^2*(d - 1))), x)","F"
2881,0,-1,311,0.000000,"\text{Not used}","int(-(x*(a*b - x^2))/((x^2*(a - x)*(b - x))^(1/3)*(x^4 - 2*x^3*(a + b) + a^2*b^2 + x^2*(4*a*b - d + a^2 + b^2) - 2*a*b*x*(a + b))),x)","\int -\frac{x\,\left(a\,b-x^2\right)}{{\left(x^2\,\left(a-x\right)\,\left(b-x\right)\right)}^{1/3}\,\left(x^4-2\,x^3\,\left(a+b\right)+a^2\,b^2+x^2\,\left(a^2+4\,a\,b+b^2-d\right)-2\,a\,b\,x\,\left(a+b\right)\right)} \,d x","Not used",1,"int(-(x*(a*b - x^2))/((x^2*(a - x)*(b - x))^(1/3)*(x^4 - 2*x^3*(a + b) + a^2*b^2 + x^2*(4*a*b - d + a^2 + b^2) - 2*a*b*x*(a + b))), x)","F"
2882,-1,-1,311,0.000000,"\text{Not used}","int(-(b^6 - a^6*x^6)/((b^6 + a^6*x^6)*(a^2*x^3 - b^2*x)^(1/2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
2883,0,-1,311,0.000000,"\text{Not used}","int(((x^4 + 1)^(1/2)*((x^4 + 1)^(1/2) + x^2)^(1/2))/(x^4 - 1),x)","\int \frac{\sqrt{x^4+1}\,\sqrt{\sqrt{x^4+1}+x^2}}{x^4-1} \,d x","Not used",1,"int(((x^4 + 1)^(1/2)*((x^4 + 1)^(1/2) + x^2)^(1/2))/(x^4 - 1), x)","F"
2884,0,-1,311,0.000000,"\text{Not used}","int(-x^4/(x*(x^2 + 1)^(1/2)*(x - (x^2 + 1)^(1/2))^(1/2) - 1),x)","-\int \frac{x^4}{x\,\sqrt{x^2+1}\,\sqrt{x-\sqrt{x^2+1}}-1} \,d x","Not used",1,"-int(x^4/(x*(x^2 + 1)^(1/2)*(x - (x^2 + 1)^(1/2))^(1/2) - 1), x)","F"
2885,0,-1,312,0.000000,"\text{Not used}","int(((x^4 + 1)^(1/2) + x^2)^(1/2)/((x^4 + 1)^(1/2)*(x + 1)^2),x)","\int \frac{\sqrt{\sqrt{x^4+1}+x^2}}{\sqrt{x^4+1}\,{\left(x+1\right)}^2} \,d x","Not used",1,"int(((x^4 + 1)^(1/2) + x^2)^(1/2)/((x^4 + 1)^(1/2)*(x + 1)^2), x)","F"
2886,0,-1,313,0.000000,"\text{Not used}","int(((b - x)*(a*b - 2*b*x + x^2))/((-x*(a - x)*(b - x)^2)^(1/3)*(x^2*(d - a^2) + b^2*d + 2*a*x^3 - x^4 - 2*b*d*x)),x)","\int \frac{\left(b-x\right)\,\left(x^2-2\,b\,x+a\,b\right)}{{\left(-x\,\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{1/3}\,\left(d\,b^2-2\,d\,b\,x-x^4+2\,a\,x^3+\left(d-a^2\right)\,x^2\right)} \,d x","Not used",1,"int(((b - x)*(a*b - 2*b*x + x^2))/((-x*(a - x)*(b - x)^2)^(1/3)*(x^2*(d - a^2) + b^2*d + 2*a*x^3 - x^4 - 2*b*d*x)), x)","F"
2887,0,-1,313,0.000000,"\text{Not used}","int(-(b^8 + a^8*x^8)/((a^4*x^4 - b^4)^(1/2)*(b^8 - a^8*x^8)),x)","\int -\frac{a^8\,x^8+b^8}{\sqrt{a^4\,x^4-b^4}\,\left(b^8-a^8\,x^8\right)} \,d x","Not used",1,"int(-(b^8 + a^8*x^8)/((a^4*x^4 - b^4)^(1/2)*(b^8 - a^8*x^8)), x)","F"
2888,0,-1,313,0.000000,"\text{Not used}","int(1/((x^2 - 1)^(1/2)*((x^2 - 1)^(1/2) + x^(1/2))^2),x)","\int \frac{1}{\sqrt{x^2-1}\,{\left(\sqrt{x^2-1}+\sqrt{x}\right)}^2} \,d x","Not used",1,"int(1/((x^2 - 1)^(1/2)*((x^2 - 1)^(1/2) + x^(1/2))^2), x)","F"
2889,0,-1,315,0.000000,"\text{Not used}","int((b + a*x^2)/((d + c*x^2)*(x + x^3)^(1/3)),x)","\int \frac{a\,x^2+b}{\left(c\,x^2+d\right)\,{\left(x^3+x\right)}^{1/3}} \,d x","Not used",1,"int((b + a*x^2)/((d + c*x^2)*(x + x^3)^(1/3)), x)","F"
2890,0,-1,315,0.000000,"\text{Not used}","int(-(x^3*(4*a*b + 2*x^2 - 3*x*(a + b)))/((x^2*(a - x)*(b - x))^(2/3)*(a*b - d*x^4 + x^2 - x*(a + b))),x)","-\int \frac{x^3\,\left(4\,a\,b+2\,x^2-3\,x\,\left(a+b\right)\right)}{{\left(x^2\,\left(a-x\right)\,\left(b-x\right)\right)}^{2/3}\,\left(-d\,x^4+x^2+\left(-a-b\right)\,x+a\,b\right)} \,d x","Not used",1,"-int((x^3*(4*a*b + 2*x^2 - 3*x*(a + b)))/((x^2*(a - x)*(b - x))^(2/3)*(a*b - d*x^4 + x^2 - x*(a + b))), x)","F"
2891,0,-1,316,0.000000,"\text{Not used}","int((b*x + a*x^3)/((a^3*x^3 + b^2*x^2)^(1/3)*(b + 2*a*x^3)),x)","\int \frac{a\,x^3+b\,x}{{\left(a^3\,x^3+b^2\,x^2\right)}^{1/3}\,\left(2\,a\,x^3+b\right)} \,d x","Not used",1,"int((b*x + a*x^3)/((a^3*x^3 + b^2*x^2)^(1/3)*(b + 2*a*x^3)), x)","F"
2892,-1,-1,316,0.000000,"\text{Not used}","int(1/((2*x - 1)^(1/2)*(3*x + 4) + (4*x - 3)^(1/2)*(x + 1)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
2893,0,-1,316,0.000000,"\text{Not used}","int((f + e*x)/((h + g*x)*(d + (c + (b + a*x)^(1/2))^(1/2))^(1/2)),x)","\int \frac{f+e\,x}{\left(h+g\,x\right)\,\sqrt{d+\sqrt{c+\sqrt{b+a\,x}}}} \,d x","Not used",1,"int((f + e*x)/((h + g*x)*(d + (c + (b + a*x)^(1/2))^(1/2))^(1/2)), x)","F"
2894,0,-1,316,0.000000,"\text{Not used}","int(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^2 + 1)^(3/2)*(x + (x^2 + 1)^(1/2))^(1/2),x)","\int \sqrt{\sqrt{x+\sqrt{x^2+1}}+1}\,{\left(x^2+1\right)}^{3/2}\,\sqrt{x+\sqrt{x^2+1}} \,d x","Not used",1,"int(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^2 + 1)^(3/2)*(x + (x^2 + 1)^(1/2))^(1/2), x)","F"
2895,0,-1,317,0.000000,"\text{Not used}","int(-((a - 5*b + 4*x)*(3*a*x^2 - 3*a^2*x + a^3 - x^3))/(((a - x)*(b - x))^(2/3)*(b - a^5*d + d*x^5 + x*(5*a^4*d - 1) + 10*a^2*d*x^3 - 10*a^3*d*x^2 - 5*a*d*x^4)),x)","\int -\frac{\left(a-5\,b+4\,x\right)\,\left(a^3-3\,a^2\,x+3\,a\,x^2-x^3\right)}{{\left(\left(a-x\right)\,\left(b-x\right)\right)}^{2/3}\,\left(b-a^5\,d+d\,x^5+x\,\left(5\,a^4\,d-1\right)+10\,a^2\,d\,x^3-10\,a^3\,d\,x^2-5\,a\,d\,x^4\right)} \,d x","Not used",1,"int(-((a - 5*b + 4*x)*(3*a*x^2 - 3*a^2*x + a^3 - x^3))/(((a - x)*(b - x))^(2/3)*(b - a^5*d + d*x^5 + x*(5*a^4*d - 1) + 10*a^2*d*x^3 - 10*a^3*d*x^2 - 5*a*d*x^4)), x)","F"
2896,0,-1,318,0.000000,"\text{Not used}","int(-((x^6 - x^3 - x^4 - x)^(1/3)*(2*x^2 - 2*x - 3*x^3 + 3*x^4 + 2))/((x + 1)*(x^3 - x^5 + 1)*(2*x - 2*x^2 + x^3 - 1)),x)","\int -\frac{{\left(x^6-x^4-x^3-x\right)}^{1/3}\,\left(3\,x^4-3\,x^3+2\,x^2-2\,x+2\right)}{\left(x+1\right)\,\left(-x^5+x^3+1\right)\,\left(x^3-2\,x^2+2\,x-1\right)} \,d x","Not used",1,"int(-((x^6 - x^3 - x^4 - x)^(1/3)*(2*x^2 - 2*x - 3*x^3 + 3*x^4 + 2))/((x + 1)*(x^3 - x^5 + 1)*(2*x - 2*x^2 + x^3 - 1)), x)","F"
2897,0,-1,319,0.000000,"\text{Not used}","int(-1/((a^3*x^3 - b^2*x^2)^(1/3)*(b - a*x)),x)","-\int \frac{1}{{\left(a^3\,x^3-b^2\,x^2\right)}^{1/3}\,\left(b-a\,x\right)} \,d x","Not used",1,"-int(1/((a^3*x^3 - b^2*x^2)^(1/3)*(b - a*x)), x)","F"
2898,0,-1,319,0.000000,"\text{Not used}","int(-((b - x)*(b - 4*a + 3*x))/((-(a - x)*(b - x)^2)^(1/3)*(a*d - 4*b*x^3 - x*(d + 4*b^3) + b^4 + x^4 + 6*b^2*x^2)),x)","\int -\frac{\left(b-x\right)\,\left(b-4\,a+3\,x\right)}{{\left(-\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{1/3}\,\left(a\,d-4\,b\,x^3-x\,\left(4\,b^3+d\right)+b^4+x^4+6\,b^2\,x^2\right)} \,d x","Not used",1,"int(-((b - x)*(b - 4*a + 3*x))/((-(a - x)*(b - x)^2)^(1/3)*(a*d - 4*b*x^3 - x*(d + 4*b^3) + b^4 + x^4 + 6*b^2*x^2)), x)","F"
2899,0,-1,319,0.000000,"\text{Not used}","int(-x^4/((a^4*x^4 - b^4)^(1/2)*(b^8 - a^8*x^8)),x)","-\int \frac{x^4}{\sqrt{a^4\,x^4-b^4}\,\left(b^8-a^8\,x^8\right)} \,d x","Not used",1,"-int(x^4/((a^4*x^4 - b^4)^(1/2)*(b^8 - a^8*x^8)), x)","F"
2900,0,-1,319,0.000000,"\text{Not used}","int(1/((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)*(a^2*x^2 - b)^(1/2)),x)","\int \frac{1}{\sqrt{a\,x+\sqrt{a^2\,x^2-b}}\,{\left(c+{\left(a\,x+\sqrt{a^2\,x^2-b}\right)}^{1/4}\right)}^{1/3}\,\sqrt{a^2\,x^2-b}} \,d x","Not used",1,"int(1/((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)*(a^2*x^2 - b)^(1/2)), x)","F"
2901,0,-1,321,0.000000,"\text{Not used}","int(((x^2 + 1)^2*((x^4 + 1)^(1/2) + x^2)^(1/2))/((x^4 + 1)^(1/2)*(x^2 + x^4 - 1)),x)","\int \frac{{\left(x^2+1\right)}^2\,\sqrt{\sqrt{x^4+1}+x^2}}{\sqrt{x^4+1}\,\left(x^4+x^2-1\right)} \,d x","Not used",1,"int(((x^2 + 1)^2*((x^4 + 1)^(1/2) + x^2)^(1/2))/((x^4 + 1)^(1/2)*(x^2 + x^4 - 1)), x)","F"
2902,0,-1,321,0.000000,"\text{Not used}","int(((x^2 + 1)^2*((x^4 + 1)^(1/2) + x^2)^(1/2))/((x^4 + 1)^(1/2)*(x^2 + x^4 - 1)),x)","\int \frac{{\left(x^2+1\right)}^2\,\sqrt{\sqrt{x^4+1}+x^2}}{\sqrt{x^4+1}\,\left(x^4+x^2-1\right)} \,d x","Not used",1,"int(((x^2 + 1)^2*((x^4 + 1)^(1/2) + x^2)^(1/2))/((x^4 + 1)^(1/2)*(x^2 + x^4 - 1)), x)","F"
2903,0,-1,323,0.000000,"\text{Not used}","int(-(x^2*(a*x^4 + b*x^3)^(1/4))/(b - a*x^4),x)","-\int \frac{x^2\,{\left(a\,x^4+b\,x^3\right)}^{1/4}}{b-a\,x^4} \,d x","Not used",1,"-int((x^2*(a*x^4 + b*x^3)^(1/4))/(b - a*x^4), x)","F"
2904,0,-1,323,0.000000,"\text{Not used}","int(-(x^2*(a*x^4 + b*x^3)^(1/4))/(b - a*x^4),x)","-\int \frac{x^2\,{\left(a\,x^4+b\,x^3\right)}^{1/4}}{b-a\,x^4} \,d x","Not used",1,"-int((x^2*(a*x^4 + b*x^3)^(1/4))/(b - a*x^4), x)","F"
2905,0,-1,323,0.000000,"\text{Not used}","int((((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^2 + 1)*(x + (x^2 + 1)^(1/2))^(1/2))/(x^2 - 1)^2,x)","\int \frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}\,\left(x^2+1\right)\,\sqrt{x+\sqrt{x^2+1}}}{{\left(x^2-1\right)}^2} \,d x","Not used",1,"int((((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^2 + 1)*(x + (x^2 + 1)^(1/2))^(1/2))/(x^2 - 1)^2, x)","F"
2906,0,-1,323,0.000000,"\text{Not used}","int((((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^2 + 1)*(x + (x^2 + 1)^(1/2))^(1/2))/(x^2 - 1)^2,x)","\int \frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}\,\left(x^2+1\right)\,\sqrt{x+\sqrt{x^2+1}}}{{\left(x^2-1\right)}^2} \,d x","Not used",1,"int((((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^2 + 1)*(x + (x^2 + 1)^(1/2))^(1/2))/(x^2 - 1)^2, x)","F"
2907,0,-1,324,0.000000,"\text{Not used}","int(-(x^3*(b - x)*(2*a*b - 3*a*x + x^2))/((x^2*(a - x)*(b - x))^(1/3)*(x^4*(b^2*d - 1) + 4*a*x^3 + 4*a^3*x + d*x^6 - a^4 - 6*a^2*x^2 - 2*b*d*x^5)),x)","\int -\frac{x^3\,\left(b-x\right)\,\left(x^2-3\,a\,x+2\,a\,b\right)}{{\left(x^2\,\left(a-x\right)\,\left(b-x\right)\right)}^{1/3}\,\left(-a^4+4\,a^3\,x-6\,a^2\,x^2+4\,a\,x^3+d\,x^6-2\,b\,d\,x^5+\left(b^2\,d-1\right)\,x^4\right)} \,d x","Not used",1,"int(-(x^3*(b - x)*(2*a*b - 3*a*x + x^2))/((x^2*(a - x)*(b - x))^(1/3)*(x^4*(b^2*d - 1) + 4*a*x^3 + 4*a^3*x + d*x^6 - a^4 - 6*a^2*x^2 - 2*b*d*x^5)), x)","F"
2908,0,-1,325,0.000000,"\text{Not used}","int(-((x^3 + 1)^(2/3)*(x^6 - 1))/(x^6*(2*x^3 - 2*x^6 + 1)),x)","-\int \frac{{\left(x^3+1\right)}^{2/3}\,\left(x^6-1\right)}{x^6\,\left(-2\,x^6+2\,x^3+1\right)} \,d x","Not used",1,"-int(((x^3 + 1)^(2/3)*(x^6 - 1))/(x^6*(2*x^3 - 2*x^6 + 1)), x)","F"
2909,0,-1,326,0.000000,"\text{Not used}","int((x^4 + 1)/((x^4 - 1)*(x + (x^2 + 1)^(1/2))^(1/2)),x)","\int \frac{x^4+1}{\left(x^4-1\right)\,\sqrt{x+\sqrt{x^2+1}}} \,d x","Not used",1,"int((x^4 + 1)/((x^4 - 1)*(x + (x^2 + 1)^(1/2))^(1/2)), x)","F"
2910,0,-1,327,0.000000,"\text{Not used}","int(((a*x^4 + b*x^3)^(1/4)*(b + 2*a*x))/(a*x - b + x^2),x)","\int \frac{{\left(a\,x^4+b\,x^3\right)}^{1/4}\,\left(b+2\,a\,x\right)}{x^2+a\,x-b} \,d x","Not used",1,"int(((a*x^4 + b*x^3)^(1/4)*(b + 2*a*x))/(a*x - b + x^2), x)","F"
2911,0,-1,327,0.000000,"\text{Not used}","int(((a*x^4 + b*x^3)^(1/4)*(b + 2*a*x))/(a*x - b + x^2),x)","\int \frac{{\left(a\,x^4+b\,x^3\right)}^{1/4}\,\left(b+2\,a\,x\right)}{x^2+a\,x-b} \,d x","Not used",1,"int(((a*x^4 + b*x^3)^(1/4)*(b + 2*a*x))/(a*x - b + x^2), x)","F"
2912,0,-1,328,0.000000,"\text{Not used}","int(x^3/((x^6 + 1)*(x^4 - x^2)^(1/3)),x)","\int \frac{x^3}{\left(x^6+1\right)\,{\left(x^4-x^2\right)}^{1/3}} \,d x","Not used",1,"int(x^3/((x^6 + 1)*(x^4 - x^2)^(1/3)), x)","F"
2913,0,-1,328,0.000000,"\text{Not used}","int(-(x^4*(b + a^2*x^2)^(1/2))/((a*x - (b + a^2*x^2)^(1/2))^(1/2) - x^2),x)","-\int \frac{x^4\,\sqrt{a^2\,x^2+b}}{\sqrt{a\,x-\sqrt{a^2\,x^2+b}}-x^2} \,d x","Not used",1,"-int((x^4*(b + a^2*x^2)^(1/2))/((a*x - (b + a^2*x^2)^(1/2))^(1/2) - x^2), x)","F"
2914,1,1566,329,3.767946,"\text{Not used}","int((x^2 - 1)/((b + a*x)/(d + c*x))^(1/4),x)","\frac{\frac{{\left(\frac{b+a\,x}{d+c\,x}\right)}^{11/4}\,\left(-a^3\,c^2\,d+\frac{7\,a^3\,d^3}{32}+a^2\,b\,c^3+\frac{3\,a^2\,b\,c\,d^2}{32}+\frac{5\,a\,b^2\,c^2\,d}{32}-\frac{15\,b^3\,c^3}{32}\right)}{a^6}+\frac{{\left(\frac{b+a\,x}{d+c\,x}\right)}^{7/4}\,\left(2\,a^3\,c^2\,d+\frac{3\,a^3\,d^3}{16}-2\,a^2\,b\,c^3-\frac{17\,a^2\,b\,c\,d^2}{16}-\frac{7\,a\,b^2\,c^2\,d}{16}+\frac{21\,b^3\,c^3}{16}\right)}{a^5\,c}-\frac{{\left(\frac{b+a\,x}{d+c\,x}\right)}^{3/4}\,\left(a^3\,c^2\,d+\frac{7\,a^3\,d^3}{96}-a^2\,b\,c^3+\frac{a^2\,b\,c\,d^2}{32}-\frac{41\,a\,b^2\,c^2\,d}{32}+\frac{113\,b^3\,c^3}{96}\right)}{a^4\,c^2}}{\frac{3\,c^2\,{\left(b+a\,x\right)}^2}{a^2\,{\left(d+c\,x\right)}^2}-\frac{c^3\,{\left(b+a\,x\right)}^3}{a^3\,{\left(d+c\,x\right)}^3}-\frac{3\,c\,\left(b+a\,x\right)}{a\,\left(d+c\,x\right)}+1}-\frac{\mathrm{atan}\left(\frac{\sqrt{c}\,\left(a\,d-b\,c\right)\,{\left(\frac{b+a\,x}{d+c\,x}\right)}^{1/4}\,\left(-32\,a^2\,c^2+7\,a^2\,d^2+10\,a\,b\,c\,d+15\,b^2\,c^2\right)\,\left(225\,b^6\,c^{13/2}-960\,a^2\,b^4\,c^{13/2}+1024\,a^4\,b^2\,c^{13/2}+49\,a^6\,\sqrt{c}\,d^6-448\,a^6\,c^{5/2}\,d^4+1024\,a^6\,c^{9/2}\,d^2+42\,a^5\,b\,c^{3/2}\,d^5+256\,a^5\,b\,c^{7/2}\,d^3+1280\,a^3\,b^3\,c^{11/2}\,d+79\,a^4\,b^2\,c^{5/2}\,d^4-180\,a^3\,b^3\,c^{7/2}\,d^3-65\,a^2\,b^4\,c^{9/2}\,d^2-128\,a^4\,b^2\,c^{9/2}\,d^2-150\,a\,b^5\,c^{11/2}\,d-2048\,a^5\,b\,c^{11/2}\,d\right)}{a^{1/4}\,\left(21600\,a^2\,b^7\,c^{39/4}-3375\,b^9\,c^{39/4}-46080\,a^4\,b^5\,c^{39/4}+32768\,a^6\,b^3\,c^{39/4}+343\,a^9\,c^{3/4}\,d^9-4704\,a^9\,c^{11/4}\,d^7+21504\,a^9\,c^{19/4}\,d^5-32768\,a^9\,c^{27/4}\,d^3+441\,a^8\,b\,c^{7/4}\,d^8+672\,a^8\,b\,c^{15/4}\,d^6-33792\,a^8\,b\,c^{23/4}\,d^4+98304\,a^8\,b\,c^{31/4}\,d^2-36000\,a^3\,b^6\,c^{35/4}\,d+107520\,a^5\,b^4\,c^{35/4}\,d-98304\,a^7\,b^2\,c^{35/4}\,d+924\,a^7\,b^2\,c^{11/4}\,d^7-1548\,a^6\,b^3\,c^{15/4}\,d^6-1230\,a^5\,b^4\,c^{19/4}\,d^5-3552\,a^7\,b^2\,c^{19/4}\,d^5-3330\,a^4\,b^5\,c^{23/4}\,d^4+24864\,a^6\,b^3\,c^{23/4}\,d^4+3500\,a^3\,b^6\,c^{27/4}\,d^3-11040\,a^5\,b^4\,c^{27/4}\,d^3+18432\,a^7\,b^2\,c^{27/4}\,d^3+900\,a^2\,b^7\,c^{31/4}\,d^2+8160\,a^4\,b^5\,c^{31/4}\,d^2-67584\,a^6\,b^3\,c^{31/4}\,d^2+3375\,a\,b^8\,c^{35/4}\,d\right)}\right)\,\left(a\,d-b\,c\right)\,\left(-32\,a^2\,c^2+7\,a^2\,d^2+10\,a\,b\,c\,d+15\,b^2\,c^2\right)}{64\,a^{13/4}\,c^{11/4}}+\frac{\mathrm{atanh}\left(\frac{\sqrt{c}\,\left(a\,d-b\,c\right)\,{\left(\frac{b+a\,x}{d+c\,x}\right)}^{1/4}\,\left(-32\,a^2\,c^2+7\,a^2\,d^2+10\,a\,b\,c\,d+15\,b^2\,c^2\right)\,\left(225\,b^6\,c^{13/2}-960\,a^2\,b^4\,c^{13/2}+1024\,a^4\,b^2\,c^{13/2}+49\,a^6\,\sqrt{c}\,d^6-448\,a^6\,c^{5/2}\,d^4+1024\,a^6\,c^{9/2}\,d^2+42\,a^5\,b\,c^{3/2}\,d^5+256\,a^5\,b\,c^{7/2}\,d^3+1280\,a^3\,b^3\,c^{11/2}\,d+79\,a^4\,b^2\,c^{5/2}\,d^4-180\,a^3\,b^3\,c^{7/2}\,d^3-65\,a^2\,b^4\,c^{9/2}\,d^2-128\,a^4\,b^2\,c^{9/2}\,d^2-150\,a\,b^5\,c^{11/2}\,d-2048\,a^5\,b\,c^{11/2}\,d\right)}{a^{1/4}\,\left(21600\,a^2\,b^7\,c^{39/4}-3375\,b^9\,c^{39/4}-46080\,a^4\,b^5\,c^{39/4}+32768\,a^6\,b^3\,c^{39/4}+343\,a^9\,c^{3/4}\,d^9-4704\,a^9\,c^{11/4}\,d^7+21504\,a^9\,c^{19/4}\,d^5-32768\,a^9\,c^{27/4}\,d^3+441\,a^8\,b\,c^{7/4}\,d^8+672\,a^8\,b\,c^{15/4}\,d^6-33792\,a^8\,b\,c^{23/4}\,d^4+98304\,a^8\,b\,c^{31/4}\,d^2-36000\,a^3\,b^6\,c^{35/4}\,d+107520\,a^5\,b^4\,c^{35/4}\,d-98304\,a^7\,b^2\,c^{35/4}\,d+924\,a^7\,b^2\,c^{11/4}\,d^7-1548\,a^6\,b^3\,c^{15/4}\,d^6-1230\,a^5\,b^4\,c^{19/4}\,d^5-3552\,a^7\,b^2\,c^{19/4}\,d^5-3330\,a^4\,b^5\,c^{23/4}\,d^4+24864\,a^6\,b^3\,c^{23/4}\,d^4+3500\,a^3\,b^6\,c^{27/4}\,d^3-11040\,a^5\,b^4\,c^{27/4}\,d^3+18432\,a^7\,b^2\,c^{27/4}\,d^3+900\,a^2\,b^7\,c^{31/4}\,d^2+8160\,a^4\,b^5\,c^{31/4}\,d^2-67584\,a^6\,b^3\,c^{31/4}\,d^2+3375\,a\,b^8\,c^{35/4}\,d\right)}\right)\,\left(a\,d-b\,c\right)\,\left(-32\,a^2\,c^2+7\,a^2\,d^2+10\,a\,b\,c\,d+15\,b^2\,c^2\right)}{64\,a^{13/4}\,c^{11/4}}","Not used",1,"((((b + a*x)/(d + c*x))^(11/4)*((7*a^3*d^3)/32 - (15*b^3*c^3)/32 + a^2*b*c^3 - a^3*c^2*d + (5*a*b^2*c^2*d)/32 + (3*a^2*b*c*d^2)/32))/a^6 + (((b + a*x)/(d + c*x))^(7/4)*((3*a^3*d^3)/16 + (21*b^3*c^3)/16 - 2*a^2*b*c^3 + 2*a^3*c^2*d - (7*a*b^2*c^2*d)/16 - (17*a^2*b*c*d^2)/16))/(a^5*c) - (((b + a*x)/(d + c*x))^(3/4)*((7*a^3*d^3)/96 + (113*b^3*c^3)/96 - a^2*b*c^3 + a^3*c^2*d - (41*a*b^2*c^2*d)/32 + (a^2*b*c*d^2)/32))/(a^4*c^2))/((3*c^2*(b + a*x)^2)/(a^2*(d + c*x)^2) - (c^3*(b + a*x)^3)/(a^3*(d + c*x)^3) - (3*c*(b + a*x))/(a*(d + c*x)) + 1) - (atan((c^(1/2)*(a*d - b*c)*((b + a*x)/(d + c*x))^(1/4)*(7*a^2*d^2 - 32*a^2*c^2 + 15*b^2*c^2 + 10*a*b*c*d)*(225*b^6*c^(13/2) - 960*a^2*b^4*c^(13/2) + 1024*a^4*b^2*c^(13/2) + 49*a^6*c^(1/2)*d^6 - 448*a^6*c^(5/2)*d^4 + 1024*a^6*c^(9/2)*d^2 + 42*a^5*b*c^(3/2)*d^5 + 256*a^5*b*c^(7/2)*d^3 + 1280*a^3*b^3*c^(11/2)*d + 79*a^4*b^2*c^(5/2)*d^4 - 180*a^3*b^3*c^(7/2)*d^3 - 65*a^2*b^4*c^(9/2)*d^2 - 128*a^4*b^2*c^(9/2)*d^2 - 150*a*b^5*c^(11/2)*d - 2048*a^5*b*c^(11/2)*d))/(a^(1/4)*(21600*a^2*b^7*c^(39/4) - 3375*b^9*c^(39/4) - 46080*a^4*b^5*c^(39/4) + 32768*a^6*b^3*c^(39/4) + 343*a^9*c^(3/4)*d^9 - 4704*a^9*c^(11/4)*d^7 + 21504*a^9*c^(19/4)*d^5 - 32768*a^9*c^(27/4)*d^3 + 441*a^8*b*c^(7/4)*d^8 + 672*a^8*b*c^(15/4)*d^6 - 33792*a^8*b*c^(23/4)*d^4 + 98304*a^8*b*c^(31/4)*d^2 - 36000*a^3*b^6*c^(35/4)*d + 107520*a^5*b^4*c^(35/4)*d - 98304*a^7*b^2*c^(35/4)*d + 924*a^7*b^2*c^(11/4)*d^7 - 1548*a^6*b^3*c^(15/4)*d^6 - 1230*a^5*b^4*c^(19/4)*d^5 - 3552*a^7*b^2*c^(19/4)*d^5 - 3330*a^4*b^5*c^(23/4)*d^4 + 24864*a^6*b^3*c^(23/4)*d^4 + 3500*a^3*b^6*c^(27/4)*d^3 - 11040*a^5*b^4*c^(27/4)*d^3 + 18432*a^7*b^2*c^(27/4)*d^3 + 900*a^2*b^7*c^(31/4)*d^2 + 8160*a^4*b^5*c^(31/4)*d^2 - 67584*a^6*b^3*c^(31/4)*d^2 + 3375*a*b^8*c^(35/4)*d)))*(a*d - b*c)*(7*a^2*d^2 - 32*a^2*c^2 + 15*b^2*c^2 + 10*a*b*c*d))/(64*a^(13/4)*c^(11/4)) + (atanh((c^(1/2)*(a*d - b*c)*((b + a*x)/(d + c*x))^(1/4)*(7*a^2*d^2 - 32*a^2*c^2 + 15*b^2*c^2 + 10*a*b*c*d)*(225*b^6*c^(13/2) - 960*a^2*b^4*c^(13/2) + 1024*a^4*b^2*c^(13/2) + 49*a^6*c^(1/2)*d^6 - 448*a^6*c^(5/2)*d^4 + 1024*a^6*c^(9/2)*d^2 + 42*a^5*b*c^(3/2)*d^5 + 256*a^5*b*c^(7/2)*d^3 + 1280*a^3*b^3*c^(11/2)*d + 79*a^4*b^2*c^(5/2)*d^4 - 180*a^3*b^3*c^(7/2)*d^3 - 65*a^2*b^4*c^(9/2)*d^2 - 128*a^4*b^2*c^(9/2)*d^2 - 150*a*b^5*c^(11/2)*d - 2048*a^5*b*c^(11/2)*d))/(a^(1/4)*(21600*a^2*b^7*c^(39/4) - 3375*b^9*c^(39/4) - 46080*a^4*b^5*c^(39/4) + 32768*a^6*b^3*c^(39/4) + 343*a^9*c^(3/4)*d^9 - 4704*a^9*c^(11/4)*d^7 + 21504*a^9*c^(19/4)*d^5 - 32768*a^9*c^(27/4)*d^3 + 441*a^8*b*c^(7/4)*d^8 + 672*a^8*b*c^(15/4)*d^6 - 33792*a^8*b*c^(23/4)*d^4 + 98304*a^8*b*c^(31/4)*d^2 - 36000*a^3*b^6*c^(35/4)*d + 107520*a^5*b^4*c^(35/4)*d - 98304*a^7*b^2*c^(35/4)*d + 924*a^7*b^2*c^(11/4)*d^7 - 1548*a^6*b^3*c^(15/4)*d^6 - 1230*a^5*b^4*c^(19/4)*d^5 - 3552*a^7*b^2*c^(19/4)*d^5 - 3330*a^4*b^5*c^(23/4)*d^4 + 24864*a^6*b^3*c^(23/4)*d^4 + 3500*a^3*b^6*c^(27/4)*d^3 - 11040*a^5*b^4*c^(27/4)*d^3 + 18432*a^7*b^2*c^(27/4)*d^3 + 900*a^2*b^7*c^(31/4)*d^2 + 8160*a^4*b^5*c^(31/4)*d^2 - 67584*a^6*b^3*c^(31/4)*d^2 + 3375*a*b^8*c^(35/4)*d)))*(a*d - b*c)*(7*a^2*d^2 - 32*a^2*c^2 + 15*b^2*c^2 + 10*a*b*c*d))/(64*a^(13/4)*c^(11/4))","B"
2915,0,-1,329,0.000000,"\text{Not used}","int(-(b - a*x^4)/((b + a*x^4)^(1/2)*(b + a*x^4 - c^2*x^2)),x)","\int -\frac{b-a\,x^4}{\sqrt{a\,x^4+b}\,\left(-c^2\,x^2+a\,x^4+b\right)} \,d x","Not used",1,"int(-(b - a*x^4)/((b + a*x^4)^(1/2)*(b + a*x^4 - c^2*x^2)), x)","F"
2916,0,-1,330,0.000000,"\text{Not used}","int(((x^2 + 1)*(x^4 - x^2 + x^6 - 1)^(1/3))/x,x)","\int \frac{\left(x^2+1\right)\,{\left(x^6+x^4-x^2-1\right)}^{1/3}}{x} \,d x","Not used",1,"int(((x^2 + 1)*(x^4 - x^2 + x^6 - 1)^(1/3))/x, x)","F"
2917,0,-1,330,0.000000,"\text{Not used}","int((a*x^2 + b*x*((a^2*x^2)/b^2 - a/b^2)^(1/2))^(1/3)*((a^2*x^2)/b^2 - a/b^2)^(1/2),x)","\int {\left(a\,x^2+b\,x\,\sqrt{\frac{a^2\,x^2}{b^2}-\frac{a}{b^2}}\right)}^{1/3}\,\sqrt{\frac{a^2\,x^2}{b^2}-\frac{a}{b^2}} \,d x","Not used",1,"int((a*x^2 + b*x*((a^2*x^2)/b^2 - a/b^2)^(1/2))^(1/3)*((a^2*x^2)/b^2 - a/b^2)^(1/2), x)","F"
2918,0,-1,331,0.000000,"\text{Not used}","int((b - a*x^2)/((x^3 - x)^(1/3)*(d - c*x^2)),x)","\int \frac{b-a\,x^2}{{\left(x^3-x\right)}^{1/3}\,\left(d-c\,x^2\right)} \,d x","Not used",1,"int((b - a*x^2)/((x^3 - x)^(1/3)*(d - c*x^2)), x)","F"
2919,0,-1,332,0.000000,"\text{Not used}","int(1/((a^3*x^3 - b^3)^(1/3)*(b + a*x)),x)","\int \frac{1}{{\left(a^3\,x^3-b^3\right)}^{1/3}\,\left(b+a\,x\right)} \,d x","Not used",1,"int(1/((a^3*x^3 - b^3)^(1/3)*(b + a*x)), x)","F"
2920,0,-1,333,0.000000,"\text{Not used}","int(-(b^12 - a^12*x^12)/((b^4 + a^4*x^4)^(1/2)*(b^12 + a^12*x^12)),x)","\int -\frac{b^{12}-a^{12}\,x^{12}}{\sqrt{a^4\,x^4+b^4}\,\left(a^{12}\,x^{12}+b^{12}\right)} \,d x","Not used",1,"int(-(b^12 - a^12*x^12)/((b^4 + a^4*x^4)^(1/2)*(b^12 + a^12*x^12)), x)","F"
2921,0,-1,334,0.000000,"\text{Not used}","int((c + b*x + a*x^2)^(5/2)/(c + b*x),x)","\int \frac{{\left(a\,x^2+b\,x+c\right)}^{5/2}}{c+b\,x} \,d x","Not used",1,"int((c + b*x + a*x^2)^(5/2)/(c + b*x), x)","F"
2922,0,-1,334,0.000000,"\text{Not used}","int(-((a*x^4 + b*x^2)^(1/4)*(b + a*x^2 - x^4))/(b + a*x^4),x)","\int -\frac{{\left(a\,x^4+b\,x^2\right)}^{1/4}\,\left(-x^4+a\,x^2+b\right)}{a\,x^4+b} \,d x","Not used",1,"int(-((a*x^4 + b*x^2)^(1/4)*(b + a*x^2 - x^4))/(b + a*x^4), x)","F"
2923,0,-1,334,0.000000,"\text{Not used}","int(-((a*x^4 + b*x^2)^(1/4)*(b + a*x^2 - x^4))/(b + a*x^4),x)","\int -\frac{{\left(a\,x^4+b\,x^2\right)}^{1/4}\,\left(-x^4+a\,x^2+b\right)}{a\,x^4+b} \,d x","Not used",1,"int(-((a*x^4 + b*x^2)^(1/4)*(b + a*x^2 - x^4))/(b + a*x^4), x)","F"
2924,0,-1,337,0.000000,"\text{Not used}","int(((x^2 - 1)*(x + 1)^(1/2))/((x + (x + 1)^(1/2))^(1/2)*(x^2 + 1)),x)","\int \frac{\left(x^2-1\right)\,\sqrt{x+1}}{\sqrt{x+\sqrt{x+1}}\,\left(x^2+1\right)} \,d x","Not used",1,"int(((x^2 - 1)*(x + 1)^(1/2))/((x + (x + 1)^(1/2))^(1/2)*(x^2 + 1)), x)","F"
2925,0,-1,337,0.000000,"\text{Not used}","int(((x^2 - 1)*(x + 1)^(1/2))/((x + (x + 1)^(1/2))^(1/2)*(x^2 + 1)),x)","\int \frac{\left(x^2-1\right)\,\sqrt{x+1}}{\sqrt{x+\sqrt{x+1}}\,\left(x^2+1\right)} \,d x","Not used",1,"int(((x^2 - 1)*(x + 1)^(1/2))/((x + (x + 1)^(1/2))^(1/2)*(x^2 + 1)), x)","F"
2926,1,540,337,2.465264,"\text{Not used}","int(-((2*x^2 + 1)^(1/2) - x^2 + (2*x^2 + 1)^(5/2))/(x*(2*x^2 + 1)^(3/2) - x^2),x)","\ln\left(x+1{}\mathrm{i}\right)\,\left(\frac{2}{5}-\frac{1}{5}{}\mathrm{i}\right)+\ln\left(x-\frac{\sqrt{2}\,\sqrt{x^2+\frac{1}{2}}}{2}+\frac{1}{2}{}\mathrm{i}\right)\,\left(-\frac{1}{5}+\frac{1}{10}{}\mathrm{i}\right)+\ln\left(x+\frac{\sqrt{2}\,\sqrt{x^2+\frac{1}{2}}}{2}-\frac{1}{2}{}\mathrm{i}\right)\,\left(\frac{1}{5}+\frac{1}{10}{}\mathrm{i}\right)-2\,\ln\left(x\right)+\ln\left(x+\sqrt{-\frac{1}{4}-\frac{1}{4}{}\mathrm{i}}\right)\,\left({\left(-\frac{1}{4}-\frac{1}{4}{}\mathrm{i}\right)}^{3/2}\,\left(\frac{1}{5}+\frac{2}{5}{}\mathrm{i}\right)+\frac{3}{20}-\frac{1}{5}{}\mathrm{i}\right)-\frac{\sqrt{2}\,\mathrm{asinh}\left(\sqrt{2}\,x\right)}{2}-\ln\left(x-\frac{\sqrt{-1+1{}\mathrm{i}}}{2}\right)\,\left({\left(-\frac{1}{4}+\frac{1}{4}{}\mathrm{i}\right)}^{3/2}\,\left(\frac{1}{5}-\frac{2}{5}{}\mathrm{i}\right)-\frac{3}{20}-\frac{1}{5}{}\mathrm{i}\right)+\ln\left(x+\frac{\sqrt{-1+1{}\mathrm{i}}}{2}\right)\,\left({\left(-\frac{1}{4}+\frac{1}{4}{}\mathrm{i}\right)}^{3/2}\,\left(\frac{1}{5}-\frac{2}{5}{}\mathrm{i}\right)+\frac{3}{20}+\frac{1}{5}{}\mathrm{i}\right)-\ln\left(x-\sqrt{-\frac{1}{4}-\frac{1}{4}{}\mathrm{i}}\right)\,\left({\left(-\frac{1}{4}-\frac{1}{4}{}\mathrm{i}\right)}^{3/2}\,\left(\frac{1}{5}+\frac{2}{5}{}\mathrm{i}\right)-\frac{3}{20}+\frac{1}{5}{}\mathrm{i}\right)-x^2-\frac{\sqrt{2}\,\left(\ln\left(\frac{1}{2}+\sqrt{\frac{1}{4}-\frac{1}{4}{}\mathrm{i}}\,\sqrt{x^2+\frac{1}{2}}-\sqrt{-\frac{1}{4}-\frac{1}{4}{}\mathrm{i}}\,x\right)-\ln\left(x+\sqrt{-\frac{1}{4}-\frac{1}{4}{}\mathrm{i}}\right)\right)\,\left(\sqrt{-\frac{1}{4}-\frac{1}{4}{}\mathrm{i}}+4\,{\left(-\frac{1}{4}-\frac{1}{4}{}\mathrm{i}\right)}^{3/2}+4\,{\left(-\frac{1}{4}-\frac{1}{4}{}\mathrm{i}\right)}^{5/2}+\frac{1}{4}-\frac{3}{4}{}\mathrm{i}\right)}{2\,\sqrt{\frac{1}{4}-\frac{1}{4}{}\mathrm{i}}\,\left(10\,\sqrt{-\frac{1}{4}-\frac{1}{4}{}\mathrm{i}}+48\,{\left(-\frac{1}{4}-\frac{1}{4}{}\mathrm{i}\right)}^{3/2}+48\,{\left(-\frac{1}{4}-\frac{1}{4}{}\mathrm{i}\right)}^{5/2}\right)}+\frac{\sqrt{2}\,\left(\ln\left(x-\frac{\sqrt{-1+1{}\mathrm{i}}}{2}\right)-\ln\left(\sqrt{-\frac{1}{4}+\frac{1}{4}{}\mathrm{i}}\,x+\sqrt{\frac{1}{4}+\frac{1}{4}{}\mathrm{i}}\,\sqrt{x^2+\frac{1}{2}}+\frac{1}{2}\right)\right)\,\left(\sqrt{-\frac{1}{4}+\frac{1}{4}{}\mathrm{i}}+4\,{\left(-\frac{1}{4}+\frac{1}{4}{}\mathrm{i}\right)}^{3/2}+4\,{\left(-\frac{1}{4}+\frac{1}{4}{}\mathrm{i}\right)}^{5/2}-\frac{1}{4}-\frac{3}{4}{}\mathrm{i}\right)}{2\,\sqrt{\frac{1}{4}+\frac{1}{4}{}\mathrm{i}}\,\left(10\,\sqrt{-\frac{1}{4}+\frac{1}{4}{}\mathrm{i}}+48\,{\left(-\frac{1}{4}+\frac{1}{4}{}\mathrm{i}\right)}^{3/2}+48\,{\left(-\frac{1}{4}+\frac{1}{4}{}\mathrm{i}\right)}^{5/2}\right)}+\frac{\sqrt{2}\,\left(\ln\left(x+\frac{\sqrt{-1+1{}\mathrm{i}}}{2}\right)-\ln\left(\frac{1}{2}+\sqrt{\frac{1}{4}+\frac{1}{4}{}\mathrm{i}}\,\sqrt{x^2+\frac{1}{2}}-\sqrt{-\frac{1}{4}+\frac{1}{4}{}\mathrm{i}}\,x\right)\right)\,\left(\sqrt{-\frac{1}{4}+\frac{1}{4}{}\mathrm{i}}+4\,{\left(-\frac{1}{4}+\frac{1}{4}{}\mathrm{i}\right)}^{3/2}+4\,{\left(-\frac{1}{4}+\frac{1}{4}{}\mathrm{i}\right)}^{5/2}+\frac{1}{4}+\frac{3}{4}{}\mathrm{i}\right)}{2\,\sqrt{\frac{1}{4}+\frac{1}{4}{}\mathrm{i}}\,\left(10\,\sqrt{-\frac{1}{4}+\frac{1}{4}{}\mathrm{i}}+48\,{\left(-\frac{1}{4}+\frac{1}{4}{}\mathrm{i}\right)}^{3/2}+48\,{\left(-\frac{1}{4}+\frac{1}{4}{}\mathrm{i}\right)}^{5/2}\right)}+\frac{\sqrt{2}\,\left(\ln\left(x-\sqrt{-\frac{1}{4}-\frac{1}{4}{}\mathrm{i}}\right)-\ln\left(\sqrt{-\frac{1}{4}-\frac{1}{4}{}\mathrm{i}}\,x+\sqrt{\frac{1}{4}-\frac{1}{4}{}\mathrm{i}}\,\sqrt{x^2+\frac{1}{2}}+\frac{1}{2}\right)\right)\,\left(\sqrt{-\frac{1}{4}-\frac{1}{4}{}\mathrm{i}}+4\,{\left(-\frac{1}{4}-\frac{1}{4}{}\mathrm{i}\right)}^{3/2}+4\,{\left(-\frac{1}{4}-\frac{1}{4}{}\mathrm{i}\right)}^{5/2}-\frac{1}{4}+\frac{3}{4}{}\mathrm{i}\right)}{2\,\sqrt{\frac{1}{4}-\frac{1}{4}{}\mathrm{i}}\,\left(10\,\sqrt{-\frac{1}{4}-\frac{1}{4}{}\mathrm{i}}+48\,{\left(-\frac{1}{4}-\frac{1}{4}{}\mathrm{i}\right)}^{3/2}+48\,{\left(-\frac{1}{4}-\frac{1}{4}{}\mathrm{i}\right)}^{5/2}\right)}","Not used",1,"log(x + 1i)*(2/5 - 1i/5) - log(x - (2^(1/2)*(x^2 + 1/2)^(1/2))/2 + 1i/2)*(1/5 - 1i/10) + log(x + (2^(1/2)*(x^2 + 1/2)^(1/2))/2 - 1i/2)*(1/5 + 1i/10) - 2*log(x) + log(x + (- 1/4 - 1i/4)^(1/2))*((- 1/4 - 1i/4)^(3/2)*(1/5 + 2i/5) + (3/20 - 1i/5)) - (2^(1/2)*asinh(2^(1/2)*x))/2 - log(x - (- 1 + 1i)^(1/2)/2)*((- 1/4 + 1i/4)^(3/2)*(1/5 - 2i/5) - (3/20 + 1i/5)) + log(x + (- 1 + 1i)^(1/2)/2)*((- 1/4 + 1i/4)^(3/2)*(1/5 - 2i/5) + (3/20 + 1i/5)) - log(x - (- 1/4 - 1i/4)^(1/2))*((- 1/4 - 1i/4)^(3/2)*(1/5 + 2i/5) - (3/20 - 1i/5)) - x^2 - (2^(1/2)*(log((1/4 - 1i/4)^(1/2)*(x^2 + 1/2)^(1/2) - (- 1/4 - 1i/4)^(1/2)*x + 1/2) - log(x + (- 1/4 - 1i/4)^(1/2)))*((- 1/4 - 1i/4)^(1/2) + 4*(- 1/4 - 1i/4)^(3/2) + 4*(- 1/4 - 1i/4)^(5/2) + (1/4 - 3i/4)))/(2*(1/4 - 1i/4)^(1/2)*(10*(- 1/4 - 1i/4)^(1/2) + 48*(- 1/4 - 1i/4)^(3/2) + 48*(- 1/4 - 1i/4)^(5/2))) + (2^(1/2)*(log(x - (- 1 + 1i)^(1/2)/2) - log((- 1/4 + 1i/4)^(1/2)*x + (1/4 + 1i/4)^(1/2)*(x^2 + 1/2)^(1/2) + 1/2))*((- 1/4 + 1i/4)^(1/2) + 4*(- 1/4 + 1i/4)^(3/2) + 4*(- 1/4 + 1i/4)^(5/2) - (1/4 + 3i/4)))/(2*(1/4 + 1i/4)^(1/2)*(10*(- 1/4 + 1i/4)^(1/2) + 48*(- 1/4 + 1i/4)^(3/2) + 48*(- 1/4 + 1i/4)^(5/2))) + (2^(1/2)*(log(x + (- 1 + 1i)^(1/2)/2) - log((1/4 + 1i/4)^(1/2)*(x^2 + 1/2)^(1/2) - (- 1/4 + 1i/4)^(1/2)*x + 1/2))*((- 1/4 + 1i/4)^(1/2) + 4*(- 1/4 + 1i/4)^(3/2) + 4*(- 1/4 + 1i/4)^(5/2) + (1/4 + 3i/4)))/(2*(1/4 + 1i/4)^(1/2)*(10*(- 1/4 + 1i/4)^(1/2) + 48*(- 1/4 + 1i/4)^(3/2) + 48*(- 1/4 + 1i/4)^(5/2))) + (2^(1/2)*(log(x - (- 1/4 - 1i/4)^(1/2)) - log((- 1/4 - 1i/4)^(1/2)*x + (1/4 - 1i/4)^(1/2)*(x^2 + 1/2)^(1/2) + 1/2))*((- 1/4 - 1i/4)^(1/2) + 4*(- 1/4 - 1i/4)^(3/2) + 4*(- 1/4 - 1i/4)^(5/2) - (1/4 - 3i/4)))/(2*(1/4 - 1i/4)^(1/2)*(10*(- 1/4 - 1i/4)^(1/2) + 48*(- 1/4 - 1i/4)^(3/2) + 48*(- 1/4 - 1i/4)^(5/2)))","B"
2927,0,-1,339,0.000000,"\text{Not used}","int(((b + x^3)*(b - x^3)*(c - x^3))/(a*x^2 + x^3)^(1/3),x)","\int \frac{\left(x^3+b\right)\,\left(b-x^3\right)\,\left(c-x^3\right)}{{\left(x^3+a\,x^2\right)}^{1/3}} \,d x","Not used",1,"int(((b + x^3)*(b - x^3)*(c - x^3))/(a*x^2 + x^3)^(1/3), x)","F"
2928,0,-1,340,0.000000,"\text{Not used}","int((x*(a - x)*(b - x)*(a*b - 2*b*x + x^2))/((-x*(a - x)*(b - x)^2)^(2/3)*(x^2*(a^2*d - 1) + 2*b*x + d*x^4 - b^2 - 2*a*d*x^3)),x)","\int \frac{x\,\left(a-x\right)\,\left(b-x\right)\,\left(x^2-2\,b\,x+a\,b\right)}{{\left(-x\,\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{2/3}\,\left(-b^2+2\,b\,x+d\,x^4-2\,a\,d\,x^3+\left(a^2\,d-1\right)\,x^2\right)} \,d x","Not used",1,"int((x*(a - x)*(b - x)*(a*b - 2*b*x + x^2))/((-x*(a - x)*(b - x)^2)^(2/3)*(x^2*(a^2*d - 1) + 2*b*x + d*x^4 - b^2 - 2*a*d*x^3)), x)","F"
2929,0,-1,342,0.000000,"\text{Not used}","int(-((a*x^4 - b*x^2)^(1/4)*(b + a*x^2 - x^4))/(b + a*x^4),x)","\int -\frac{{\left(a\,x^4-b\,x^2\right)}^{1/4}\,\left(-x^4+a\,x^2+b\right)}{a\,x^4+b} \,d x","Not used",1,"int(-((a*x^4 - b*x^2)^(1/4)*(b + a*x^2 - x^4))/(b + a*x^4), x)","F"
2930,0,-1,342,0.000000,"\text{Not used}","int(-((a*x^4 - b*x^2)^(1/4)*(b + a*x^2 - x^4))/(b + a*x^4),x)","\int -\frac{{\left(a\,x^4-b\,x^2\right)}^{1/4}\,\left(-x^4+a\,x^2+b\right)}{a\,x^4+b} \,d x","Not used",1,"int(-((a*x^4 - b*x^2)^(1/4)*(b + a*x^2 - x^4))/(b + a*x^4), x)","F"
2931,0,-1,343,0.000000,"\text{Not used}","int((a^2*x^2 - b^2*x + a*b*c)/((c + b*x^2)*(c + b*x + a*x^2)^(1/2)),x)","\int \frac{a^2\,x^2+c\,a\,b-b^2\,x}{\left(b\,x^2+c\right)\,\sqrt{a\,x^2+b\,x+c}} \,d x","Not used",1,"int((a^2*x^2 - b^2*x + a*b*c)/((c + b*x^2)*(c + b*x + a*x^2)^(1/2)), x)","F"
2932,0,-1,343,0.000000,"\text{Not used}","int(-((a*x^4 - b*x^2)^(1/4)*(b + a*x^2 + x^4))/(b - a*x^4),x)","\int -\frac{{\left(a\,x^4-b\,x^2\right)}^{1/4}\,\left(x^4+a\,x^2+b\right)}{b-a\,x^4} \,d x","Not used",1,"int(-((a*x^4 - b*x^2)^(1/4)*(b + a*x^2 + x^4))/(b - a*x^4), x)","F"
2933,0,-1,343,0.000000,"\text{Not used}","int(-((a*x^4 - b*x^2)^(1/4)*(b + a*x^2 + x^4))/(b - a*x^4),x)","\int -\frac{{\left(a\,x^4-b\,x^2\right)}^{1/4}\,\left(x^4+a\,x^2+b\right)}{b-a\,x^4} \,d x","Not used",1,"int(-((a*x^4 - b*x^2)^(1/4)*(b + a*x^2 + x^4))/(b - a*x^4), x)","F"
2934,0,-1,343,0.000000,"\text{Not used}","int(-((x*(2*k - 1) - 1)*(x^2 - 2*x + 1))/((x*(k*x - 1)*(x - 1))^(1/3)*(b - x^3*(4*b - 2*k) + x^4*(b - k^2) - 4*b*x + x^2*(6*b - 1))),x)","\int -\frac{\left(x\,\left(2\,k-1\right)-1\right)\,\left(x^2-2\,x+1\right)}{{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{1/3}\,\left(\left(b-k^2\right)\,x^4+\left(2\,k-4\,b\right)\,x^3+\left(6\,b-1\right)\,x^2-4\,b\,x+b\right)} \,d x","Not used",1,"int(-((x*(2*k - 1) - 1)*(x^2 - 2*x + 1))/((x*(k*x - 1)*(x - 1))^(1/3)*(b - x^3*(4*b - 2*k) + x^4*(b - k^2) - 4*b*x + x^2*(6*b - 1))), x)","F"
2935,0,-1,345,0.000000,"\text{Not used}","int(1/((b^2*x + a^2*x^3)^(1/4)*(b + a*x)),x)","\int \frac{1}{{\left(a^2\,x^3+b^2\,x\right)}^{1/4}\,\left(b+a\,x\right)} \,d x","Not used",1,"int(1/((b^2*x + a^2*x^3)^(1/4)*(b + a*x)), x)","F"
2936,0,-1,346,0.000000,"\text{Not used}","int(((b - a*x^4)*(a*x^4 - b*x^2)^(1/4))/(b + a*x^2 - x^4),x)","\int \frac{\left(b-a\,x^4\right)\,{\left(a\,x^4-b\,x^2\right)}^{1/4}}{-x^4+a\,x^2+b} \,d x","Not used",1,"int(((b - a*x^4)*(a*x^4 - b*x^2)^(1/4))/(b + a*x^2 - x^4), x)","F"
2937,0,-1,346,0.000000,"\text{Not used}","int(((b - a*x^4)*(a*x^4 - b*x^2)^(1/4))/(b + a*x^2 - x^4),x)","\int \frac{\left(b-a\,x^4\right)\,{\left(a\,x^4-b\,x^2\right)}^{1/4}}{-x^4+a\,x^2+b} \,d x","Not used",1,"int(((b - a*x^4)*(a*x^4 - b*x^2)^(1/4))/(b + a*x^2 - x^4), x)","F"
2938,0,-1,347,0.000000,"\text{Not used}","int(-((b - x)*(b - 4*a + 3*x))/((-(a - x)*(b - x)^2)^(1/3)*(a + b^4*d + d*x^4 - x*(4*b^3*d + 1) + 6*b^2*d*x^2 - 4*b*d*x^3)),x)","\int -\frac{\left(b-x\right)\,\left(b-4\,a+3\,x\right)}{{\left(-\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{1/3}\,\left(a+b^4\,d+d\,x^4-x\,\left(4\,d\,b^3+1\right)+6\,b^2\,d\,x^2-4\,b\,d\,x^3\right)} \,d x","Not used",1,"int(-((b - x)*(b - 4*a + 3*x))/((-(a - x)*(b - x)^2)^(1/3)*(a + b^4*d + d*x^4 - x*(4*b^3*d + 1) + 6*b^2*d*x^2 - 4*b*d*x^3)), x)","F"
2939,0,-1,348,0.000000,"\text{Not used}","int(((a*x + (b^2 + a^2*x^2)^(1/2))^(1/2)*(d + c*x^2))/(f + e*x^2),x)","\int \frac{\sqrt{a\,x+\sqrt{a^2\,x^2+b^2}}\,\left(c\,x^2+d\right)}{e\,x^2+f} \,d x","Not used",1,"int(((a*x + (b^2 + a^2*x^2)^(1/2))^(1/2)*(d + c*x^2))/(f + e*x^2), x)","F"
2940,0,-1,349,0.000000,"\text{Not used}","int(((x^2 + 1)*((x^4 + 1)^(1/2) + x^2)^(1/2))/((x^4 + 1)^(1/2)*(x^2 + x^4 - 1)),x)","\int \frac{\left(x^2+1\right)\,\sqrt{\sqrt{x^4+1}+x^2}}{\sqrt{x^4+1}\,\left(x^4+x^2-1\right)} \,d x","Not used",1,"int(((x^2 + 1)*((x^4 + 1)^(1/2) + x^2)^(1/2))/((x^4 + 1)^(1/2)*(x^2 + x^4 - 1)), x)","F"
2941,0,-1,349,0.000000,"\text{Not used}","int(((x^2 + 1)*((x^4 + 1)^(1/2) + x^2)^(1/2))/((x^4 + 1)^(1/2)*(x^2 + x^4 - 1)),x)","\int \frac{\left(x^2+1\right)\,\sqrt{\sqrt{x^4+1}+x^2}}{\sqrt{x^4+1}\,\left(x^4+x^2-1\right)} \,d x","Not used",1,"int(((x^2 + 1)*((x^4 + 1)^(1/2) + x^2)^(1/2))/((x^4 + 1)^(1/2)*(x^2 + x^4 - 1)), x)","F"
2942,0,-1,351,0.000000,"\text{Not used}","int(-(x^4 - 1)/((x^5 - x^3)^(1/4)*(x^2 + x^4 + 1)),x)","-\int \frac{x^4-1}{{\left(x^5-x^3\right)}^{1/4}\,\left(x^4+x^2+1\right)} \,d x","Not used",1,"-int((x^4 - 1)/((x^5 - x^3)^(1/4)*(x^2 + x^4 + 1)), x)","F"
2943,0,-1,351,0.000000,"\text{Not used}","int((a^2*x^2 - b)^(1/2)/(x*(a^2*x^2 - b)^(1/2) + a*x^2)^(1/3),x)","\int \frac{\sqrt{a^2\,x^2-b}}{{\left(x\,\sqrt{a^2\,x^2-b}+a\,x^2\right)}^{1/3}} \,d x","Not used",1,"int((a^2*x^2 - b)^(1/2)/(x*(a^2*x^2 - b)^(1/2) + a*x^2)^(1/3), x)","F"
2944,0,-1,351,0.000000,"\text{Not used}","int(-(((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)*(b + a^2*x^2))/((b - a^2*x^2)*(b + a^2*x^4)^(1/2)),x)","\int -\frac{\sqrt{\sqrt{a^2\,x^4+b}+a\,x^2}\,\left(a^2\,x^2+b\right)}{\left(b-a^2\,x^2\right)\,\sqrt{a^2\,x^4+b}} \,d x","Not used",1,"int(-(((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)*(b + a^2*x^2))/((b - a^2*x^2)*(b + a^2*x^4)^(1/2)), x)","F"
2945,0,-1,351,0.000000,"\text{Not used}","int(-(((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)*(b + a^2*x^2))/((b - a^2*x^2)*(b + a^2*x^4)^(1/2)),x)","\int -\frac{\sqrt{\sqrt{a^2\,x^4+b}+a\,x^2}\,\left(a^2\,x^2+b\right)}{\left(b-a^2\,x^2\right)\,\sqrt{a^2\,x^4+b}} \,d x","Not used",1,"int(-(((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)*(b + a^2*x^2))/((b - a^2*x^2)*(b + a^2*x^4)^(1/2)), x)","F"
2946,0,-1,352,0.000000,"\text{Not used}","int(-x^3/((x^6 - 1)*(a + b*x + a*x^4 + b*x^3 + c*x^2)^(1/2)),x)","-\int \frac{x^3}{\left(x^6-1\right)\,\sqrt{a\,x^4+b\,x^3+c\,x^2+b\,x+a}} \,d x","Not used",1,"-int(x^3/((x^6 - 1)*(a + b*x + a*x^4 + b*x^3 + c*x^2)^(1/2)), x)","F"
2947,-1,-1,352,0.000000,"\text{Not used}","int(-((q - 2*p*x^3)*(a*(q + p*x^3)^6 + b*x^6)*(p^2*x^6 + q^2 - 2*p*q*x^2 + 2*p*q*x^3)^(1/2))/x^9,x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
2948,-1,-1,352,0.000000,"\text{Not used}","int(-((a*(q + p*x^3)^6 + b*x^12)*(2*q - p*x^3)*(p^2*x^6 + q^2 + 2*p*q*x^3 - 2*p*q*x^4)^(1/2))/x^17,x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
2949,0,-1,352,0.000000,"\text{Not used}","int(-((q + p*x^4)^(1/2)*(q - p*x^4))/(a*(q + p*x^4)^2 + b*x^4),x)","\int -\frac{\sqrt{p\,x^4+q}\,\left(q-p\,x^4\right)}{a\,{\left(p\,x^4+q\right)}^2+b\,x^4} \,d x","Not used",1,"int(-((q + p*x^4)^(1/2)*(q - p*x^4))/(a*(q + p*x^4)^2 + b*x^4), x)","F"
2950,0,-1,354,0.000000,"\text{Not used}","int(-(3*b - a*x)/((b^2 - a^2*x^2)^(1/3)*(3*b^2 + a^2*x^2)),x)","\int -\frac{3\,b-a\,x}{{\left(b^2-a^2\,x^2\right)}^{1/3}\,\left(a^2\,x^2+3\,b^2\right)} \,d x","Not used",1,"int(-(3*b - a*x)/((b^2 - a^2*x^2)^(1/3)*(3*b^2 + a^2*x^2)), x)","F"
2951,0,-1,354,0.000000,"\text{Not used}","int(-(x + (4*x + 7*x^2 + 8*x^3 + 5*x^4 + 2*x^5 + 1)^(1/2))/((4*x + 7*x^2 + 8*x^3 + 5*x^4 + 2*x^5 + 1)^(1/2) - 1),x)","\int -\frac{x+\sqrt{2\,x^5+5\,x^4+8\,x^3+7\,x^2+4\,x+1}}{\sqrt{2\,x^5+5\,x^4+8\,x^3+7\,x^2+4\,x+1}-1} \,d x","Not used",1,"int(-(x + (4*x + 7*x^2 + 8*x^3 + 5*x^4 + 2*x^5 + 1)^(1/2))/((4*x + 7*x^2 + 8*x^3 + 5*x^4 + 2*x^5 + 1)^(1/2) - 1), x)","F"
2952,0,-1,355,0.000000,"\text{Not used}","int(-(x^3*(4*a*b + 2*x^2 - 3*x*(a + b)))/((x^2*(a - x)*(b - x))^(2/3)*(d*x^2 - x^4 - d*x*(a + b) + a*b*d)),x)","-\int \frac{x^3\,\left(4\,a\,b+2\,x^2-3\,x\,\left(a+b\right)\right)}{{\left(x^2\,\left(a-x\right)\,\left(b-x\right)\right)}^{2/3}\,\left(-x^4+d\,x^2-d\,\left(a+b\right)\,x+a\,b\,d\right)} \,d x","Not used",1,"-int((x^3*(4*a*b + 2*x^2 - 3*x*(a + b)))/((x^2*(a - x)*(b - x))^(2/3)*(d*x^2 - x^4 - d*x*(a + b) + a*b*d)), x)","F"
2953,0,-1,356,0.000000,"\text{Not used}","int(x^3/((x^2 + x^4)^(1/3)*(x^6 - 1)),x)","\int \frac{x^3}{{\left(x^4+x^2\right)}^{1/3}\,\left(x^6-1\right)} \,d x","Not used",1,"int(x^3/((x^2 + x^4)^(1/3)*(x^6 - 1)), x)","F"
2954,0,-1,357,0.000000,"\text{Not used}","int(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)/((x^2 - 1)^2*(x^2 + 1)^(1/2)),x)","\int \frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}}{{\left(x^2-1\right)}^2\,\sqrt{x^2+1}} \,d x","Not used",1,"int(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)/((x^2 - 1)^2*(x^2 + 1)^(1/2)), x)","F"
2955,0,-1,357,0.000000,"\text{Not used}","int(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)/((x^2 - 1)^2*(x^2 + 1)^(1/2)),x)","\int \frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}}{{\left(x^2-1\right)}^2\,\sqrt{x^2+1}} \,d x","Not used",1,"int(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)/((x^2 - 1)^2*(x^2 + 1)^(1/2)), x)","F"
2956,0,-1,357,0.000000,"\text{Not used}","int((((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^2 + 1)^(1/2))/(x^2 - 1)^2,x)","\int \frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}\,\sqrt{x^2+1}}{{\left(x^2-1\right)}^2} \,d x","Not used",1,"int((((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^2 + 1)^(1/2))/(x^2 - 1)^2, x)","F"
2957,0,-1,357,0.000000,"\text{Not used}","int((((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^2 + 1)^(1/2))/(x^2 - 1)^2,x)","\int \frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}\,\sqrt{x^2+1}}{{\left(x^2-1\right)}^2} \,d x","Not used",1,"int((((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^2 + 1)^(1/2))/(x^2 - 1)^2, x)","F"
2958,0,-1,357,0.000000,"\text{Not used}","int((((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^2 + 1)^(1/2))/(x^2 - 1)^2,x)","\int \frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}\,\sqrt{x^2+1}}{{\left(x^2-1\right)}^2} \,d x","Not used",1,"int((((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^2 + 1)^(1/2))/(x^2 - 1)^2, x)","F"
2959,0,-1,362,0.000000,"\text{Not used}","int((c + b*x + a*x^2)^(5/2)/(c + b*x)^2,x)","\int \frac{{\left(a\,x^2+b\,x+c\right)}^{5/2}}{{\left(c+b\,x\right)}^2} \,d x","Not used",1,"int((c + b*x + a*x^2)^(5/2)/(c + b*x)^2, x)","F"
2960,0,-1,362,0.000000,"\text{Not used}","int((x^4 + 1)^2/((x^4 - 1)^2*((x^4 + 1)^(1/2) + x^2)^(1/2)),x)","\int \frac{{\left(x^4+1\right)}^2}{{\left(x^4-1\right)}^2\,\sqrt{\sqrt{x^4+1}+x^2}} \,d x","Not used",1,"int((x^4 + 1)^2/((x^4 - 1)^2*((x^4 + 1)^(1/2) + x^2)^(1/2)), x)","F"
2961,0,-1,363,0.000000,"\text{Not used}","int((a*x + (a*x - b)^(1/2))^(1/2)/((a*x - b)^(1/2) + 1),x)","\int \frac{\sqrt{a\,x+\sqrt{a\,x-b}}}{\sqrt{a\,x-b}+1} \,d x","Not used",1,"int((a*x + (a*x - b)^(1/2))^(1/2)/((a*x - b)^(1/2) + 1), x)","F"
2962,0,-1,366,0.000000,"\text{Not used}","int(((b*x + a*x^2)*(a*x^4 + b*x^3)^(1/4))/(a*x - b + x^2),x)","\int \frac{\left(a\,x^2+b\,x\right)\,{\left(a\,x^4+b\,x^3\right)}^{1/4}}{x^2+a\,x-b} \,d x","Not used",1,"int(((b*x + a*x^2)*(a*x^4 + b*x^3)^(1/4))/(a*x - b + x^2), x)","F"
2963,0,-1,366,0.000000,"\text{Not used}","int(((b*x + a*x^2)*(a*x^4 + b*x^3)^(1/4))/(a*x - b + x^2),x)","\int \frac{\left(a\,x^2+b\,x\right)\,{\left(a\,x^4+b\,x^3\right)}^{1/4}}{x^2+a\,x-b} \,d x","Not used",1,"int(((b*x + a*x^2)*(a*x^4 + b*x^3)^(1/4))/(a*x - b + x^2), x)","F"
2964,0,-1,366,0.000000,"\text{Not used}","int(-(b^10 - a^10*x^10)/((b^4 + a^4*x^4)^(1/2)*(b^10 + a^10*x^10)),x)","\int -\frac{b^{10}-a^{10}\,x^{10}}{\sqrt{a^4\,x^4+b^4}\,\left(a^{10}\,x^{10}+b^{10}\right)} \,d x","Not used",1,"int(-(b^10 - a^10*x^10)/((b^4 + a^4*x^4)^(1/2)*(b^10 + a^10*x^10)), x)","F"
2965,0,-1,366,0.000000,"\text{Not used}","int(-(b^10 - a^10*x^10)/((b^4 + a^4*x^4)^(1/2)*(b^10 + a^10*x^10)),x)","\int -\frac{b^{10}-a^{10}\,x^{10}}{\sqrt{a^4\,x^4+b^4}\,\left(a^{10}\,x^{10}+b^{10}\right)} \,d x","Not used",1,"int(-(b^10 - a^10*x^10)/((b^4 + a^4*x^4)^(1/2)*(b^10 + a^10*x^10)), x)","F"
2966,0,-1,367,0.000000,"\text{Not used}","int(((b + a*x^2)*(x + x^3)^(1/3))/(d + c*x^2),x)","\int \frac{\left(a\,x^2+b\right)\,{\left(x^3+x\right)}^{1/3}}{c\,x^2+d} \,d x","Not used",1,"int(((b + a*x^2)*(x + x^3)^(1/3))/(d + c*x^2), x)","F"
2967,1,11404,367,15.277660,"\text{Not used}","int((x^2*(b + a*x^3)*(3*a*q - b*p + 2*a*p*x^3))/((q + p*x^3)^(2/3)*(d*q + b^3*c + x^3*(d*p + 3*a*b^2*c) + a^3*c*x^9 + 3*a^2*b*c*x^6)),x)","\left(\sum _{k=1}^9\ln\left(\mathrm{root}\left(59049\,a^2\,b\,c^6\,d^6\,h^9\,p\,q^2-59049\,a\,b^2\,c^6\,d^6\,h^9\,p^2\,q+19683\,b^3\,c^6\,d^6\,h^9\,p^3-19683\,a^3\,c^6\,d^6\,h^9\,q^3+4374\,a^2\,b^4\,c^5\,d^4\,h^6\,p\,q+4374\,a^2\,b\,c^4\,d^5\,h^6\,p\,q^2-4374\,a\,b^2\,c^4\,d^5\,h^6\,p^2\,q-2187\,a^3\,b^3\,c^5\,d^4\,h^6\,q^2-2187\,a\,b^5\,c^5\,d^4\,h^6\,p^2-2187\,a^3\,c^4\,d^5\,h^6\,q^3+1458\,b^3\,c^4\,d^5\,h^6\,p^3-567\,a^2\,b^4\,c^3\,d^3\,h^3\,p\,q+81\,a^2\,b\,c^2\,d^4\,h^3\,p\,q^2-81\,a\,b^2\,c^2\,d^4\,h^3\,p^2\,q+567\,a^3\,b^3\,c^3\,d^3\,h^3\,q^2-81\,a^3\,b^6\,c^4\,d^2\,h^3\,q+162\,a\,b^5\,c^3\,d^3\,h^3\,p^2+81\,a^2\,b^7\,c^4\,d^2\,h^3\,p-81\,a^3\,c^2\,d^4\,h^3\,q^3+27\,b^3\,c^2\,d^4\,h^3\,p^3-3\,a^3\,b^3\,c\,d^2\,q^2-3\,a^3\,b^6\,c^2\,d\,q-a^3\,d^3\,q^3-a^3\,b^9\,c^3,h,k\right)\,\left({\left(p\,x^3+q\right)}^{1/3}\,\left(-19683\,a^{31}\,b^7\,c^8\,p^{14}\,q^7+19683\,a^{31}\,b^4\,c^7\,d\,p^{14}\,q^8+39366\,a^{31}\,b\,c^6\,d^2\,p^{14}\,q^9+137781\,a^{30}\,b^8\,c^8\,p^{15}\,q^6-255879\,a^{30}\,b^5\,c^7\,d\,p^{15}\,q^7-393660\,a^{30}\,b^2\,c^6\,d^2\,p^{15}\,q^8-413343\,a^{29}\,b^9\,c^8\,p^{16}\,q^5+1257525\,a^{29}\,b^6\,c^7\,d\,p^{16}\,q^6+1629315\,a^{29}\,b^3\,c^6\,d^2\,p^{16}\,q^7-41553\,a^{29}\,c^5\,d^3\,p^{16}\,q^8+688905\,a^{28}\,b^{10}\,c^8\,p^{17}\,q^4-3288519\,a^{28}\,b^7\,c^7\,d\,p^{17}\,q^5-3657393\,a^{28}\,b^4\,c^6\,d^2\,p^{17}\,q^6+320031\,a^{28}\,b\,c^5\,d^3\,p^{17}\,q^7-688905\,a^{27}\,b^{11}\,c^8\,p^{18}\,q^3+5157675\,a^{27}\,b^8\,c^7\,d\,p^{18}\,q^4+4758183\,a^{27}\,b^5\,c^6\,d^2\,p^{18}\,q^5-1088397\,a^{27}\,b^2\,c^5\,d^3\,p^{18}\,q^6+413343\,a^{26}\,b^{12}\,c^8\,p^{19}\,q^2-5042493\,a^{26}\,b^9\,c^7\,d\,p^{19}\,q^3-3354777\,a^{26}\,b^6\,c^6\,d^2\,p^{19}\,q^4+2079999\,a^{26}\,b^3\,c^5\,d^3\,p^{19}\,q^5-21060\,a^{26}\,c^4\,d^4\,p^{19}\,q^6-137781\,a^{25}\,b^{13}\,c^8\,p^{20}\,q+3026079\,a^{25}\,b^{10}\,c^7\,d\,p^{20}\,q^2+694305\,a^{25}\,b^7\,c^6\,d^2\,p^{20}\,q^3-2358207\,a^{25}\,b^4\,c^5\,d^3\,p^{20}\,q^4+111348\,a^{25}\,b\,c^4\,d^4\,p^{20}\,q^5+19683\,a^{24}\,b^{14}\,c^8\,p^{21}-1024245\,a^{24}\,b^{11}\,c^7\,d\,p^{21}\,q+714501\,a^{24}\,b^8\,c^6\,d^2\,p^{21}\,q^2+1516725\,a^{24}\,b^5\,c^5\,d^3\,p^{21}\,q^3-241704\,a^{24}\,b^2\,c^4\,d^4\,p^{21}\,q^4+150174\,a^{23}\,b^{12}\,c^7\,d\,p^{22}-549585\,a^{23}\,b^9\,c^6\,d^2\,p^{22}\,q-431751\,a^{23}\,b^6\,c^5\,d^3\,p^{22}\,q^2+264504\,a^{23}\,b^3\,c^4\,d^4\,p^{22}\,q^3-3504\,a^{23}\,c^3\,d^5\,p^{22}\,q^4+119745\,a^{22}\,b^{10}\,c^6\,d^2\,p^{23}-31443\,a^{22}\,b^7\,c^5\,d^3\,p^{23}\,q-140292\,a^{22}\,b^4\,c^4\,d^4\,p^{23}\,q^2+10896\,a^{22}\,b\,c^3\,d^5\,p^{23}\,q^3+34596\,a^{21}\,b^8\,c^5\,d^3\,p^{24}+22932\,a^{21}\,b^5\,c^4\,d^4\,p^{24}\,q-11664\,a^{21}\,b^2\,c^3\,d^5\,p^{24}\,q^2+4272\,a^{20}\,b^6\,c^4\,d^4\,p^{25}+4080\,a^{20}\,b^3\,c^3\,d^5\,p^{25}\,q-192\,a^{20}\,c^2\,d^6\,p^{25}\,q^2+192\,a^{19}\,b^4\,c^3\,d^5\,p^{26}+192\,a^{19}\,b\,c^2\,d^6\,p^{26}\,q\right)+\mathrm{root}\left(59049\,a^2\,b\,c^6\,d^6\,h^9\,p\,q^2-59049\,a\,b^2\,c^6\,d^6\,h^9\,p^2\,q+19683\,b^3\,c^6\,d^6\,h^9\,p^3-19683\,a^3\,c^6\,d^6\,h^9\,q^3+4374\,a^2\,b^4\,c^5\,d^4\,h^6\,p\,q+4374\,a^2\,b\,c^4\,d^5\,h^6\,p\,q^2-4374\,a\,b^2\,c^4\,d^5\,h^6\,p^2\,q-2187\,a^3\,b^3\,c^5\,d^4\,h^6\,q^2-2187\,a\,b^5\,c^5\,d^4\,h^6\,p^2-2187\,a^3\,c^4\,d^5\,h^6\,q^3+1458\,b^3\,c^4\,d^5\,h^6\,p^3-567\,a^2\,b^4\,c^3\,d^3\,h^3\,p\,q+81\,a^2\,b\,c^2\,d^4\,h^3\,p\,q^2-81\,a\,b^2\,c^2\,d^4\,h^3\,p^2\,q+567\,a^3\,b^3\,c^3\,d^3\,h^3\,q^2-81\,a^3\,b^6\,c^4\,d^2\,h^3\,q+162\,a\,b^5\,c^3\,d^3\,h^3\,p^2+81\,a^2\,b^7\,c^4\,d^2\,h^3\,p-81\,a^3\,c^2\,d^4\,h^3\,q^3+27\,b^3\,c^2\,d^4\,h^3\,p^3-3\,a^3\,b^3\,c\,d^2\,q^2-3\,a^3\,b^6\,c^2\,d\,q-a^3\,d^3\,q^3-a^3\,b^9\,c^3,h,k\right)\,\left({\mathrm{root}\left(59049\,a^2\,b\,c^6\,d^6\,h^9\,p\,q^2-59049\,a\,b^2\,c^6\,d^6\,h^9\,p^2\,q+19683\,b^3\,c^6\,d^6\,h^9\,p^3-19683\,a^3\,c^6\,d^6\,h^9\,q^3+4374\,a^2\,b^4\,c^5\,d^4\,h^6\,p\,q+4374\,a^2\,b\,c^4\,d^5\,h^6\,p\,q^2-4374\,a\,b^2\,c^4\,d^5\,h^6\,p^2\,q-2187\,a^3\,b^3\,c^5\,d^4\,h^6\,q^2-2187\,a\,b^5\,c^5\,d^4\,h^6\,p^2-2187\,a^3\,c^4\,d^5\,h^6\,q^3+1458\,b^3\,c^4\,d^5\,h^6\,p^3-567\,a^2\,b^4\,c^3\,d^3\,h^3\,p\,q+81\,a^2\,b\,c^2\,d^4\,h^3\,p\,q^2-81\,a\,b^2\,c^2\,d^4\,h^3\,p^2\,q+567\,a^3\,b^3\,c^3\,d^3\,h^3\,q^2-81\,a^3\,b^6\,c^4\,d^2\,h^3\,q+162\,a\,b^5\,c^3\,d^3\,h^3\,p^2+81\,a^2\,b^7\,c^4\,d^2\,h^3\,p-81\,a^3\,c^2\,d^4\,h^3\,q^3+27\,b^3\,c^2\,d^4\,h^3\,p^3-3\,a^3\,b^3\,c\,d^2\,q^2-3\,a^3\,b^6\,c^2\,d\,q-a^3\,d^3\,q^3-a^3\,b^9\,c^3,h,k\right)}^2\,\left({\left(p\,x^3+q\right)}^{1/3}\,\left(-1062882\,a^{31}\,b^4\,c^9\,d^2\,p^{14}\,q^8+531441\,a^{31}\,b\,c^8\,d^3\,p^{14}\,q^9+8503056\,a^{30}\,b^5\,c^9\,d^2\,p^{15}\,q^7+2125764\,a^{30}\,b^2\,c^8\,d^3\,p^{15}\,q^8-29760696\,a^{29}\,b^6\,c^9\,d^2\,p^{16}\,q^6-30941676\,a^{29}\,b^3\,c^8\,d^3\,p^{16}\,q^7-2243862\,a^{29}\,c^7\,d^4\,p^{16}\,q^8+59521392\,a^{28}\,b^7\,c^9\,d^2\,p^{17}\,q^5+111405780\,a^{28}\,b^4\,c^8\,d^3\,p^{17}\,q^6+16100694\,a^{28}\,b\,c^7\,d^4\,p^{17}\,q^7-74401740\,a^{27}\,b^8\,c^9\,d^2\,p^{18}\,q^4-204663834\,a^{27}\,b^5\,c^8\,d^3\,p^{18}\,q^5-45703926\,a^{27}\,b^2\,c^7\,d^4\,p^{18}\,q^6+59521392\,a^{26}\,b^9\,c^9\,d^2\,p^{19}\,q^3+219426084\,a^{26}\,b^6\,c^8\,d^3\,p^{19}\,q^4+64722078\,a^{26}\,b^3\,c^7\,d^4\,p^{19}\,q^5-1137240\,a^{26}\,c^6\,d^5\,p^{19}\,q^6-29760696\,a^{25}\,b^{10}\,c^9\,d^2\,p^{20}\,q^2-139906764\,a^{25}\,b^7\,c^8\,d^3\,p^{20}\,q^3-44738730\,a^{25}\,b^4\,c^7\,d^4\,p^{20}\,q^4+5767848\,a^{25}\,b\,c^6\,d^5\,p^{20}\,q^5+8503056\,a^{24}\,b^{11}\,c^9\,d^2\,p^{21}\,q+49837356\,a^{24}\,b^8\,c^8\,d^3\,p^{21}\,q^2+7944642\,a^{24}\,b^5\,c^7\,d^4\,p^{21}\,q^3-10999152\,a^{24}\,b^2\,c^6\,d^5\,p^{21}\,q^4-1062882\,a^{23}\,b^{12}\,c^9\,d^2\,p^{22}-7971615\,a^{23}\,b^9\,c^8\,d^3\,p^{22}\,q+7650126\,a^{23}\,b^6\,c^7\,d^4\,p^{22}\,q^2+9596880\,a^{23}\,b^3\,c^6\,d^5\,p^{22}\,q^3-189216\,a^{23}\,c^5\,d^6\,p^{22}\,q^4+157464\,a^{22}\,b^{10}\,c^8\,d^3\,p^{23}-4320054\,a^{22}\,b^7\,c^7\,d^4\,p^{23}\,q-3431160\,a^{22}\,b^4\,c^6\,d^5\,p^{23}\,q^2+572832\,a^{22}\,b\,c^5\,d^6\,p^{23}\,q^3+589032\,a^{21}\,b^8\,c^7\,d^4\,p^{24}+52488\,a^{21}\,b^5\,c^6\,d^5\,p^{24}\,q-536544\,a^{21}\,b^2\,c^5\,d^6\,p^{24}\,q^2+150336\,a^{20}\,b^6\,c^6\,d^5\,p^{25}+142560\,a^{20}\,b^3\,c^5\,d^6\,p^{25}\,q-10368\,a^{20}\,c^4\,d^7\,p^{25}\,q^2+10368\,a^{19}\,b^4\,c^5\,d^6\,p^{26}+10368\,a^{19}\,b\,c^4\,d^7\,p^{26}\,q\right)+\mathrm{root}\left(59049\,a^2\,b\,c^6\,d^6\,h^9\,p\,q^2-59049\,a\,b^2\,c^6\,d^6\,h^9\,p^2\,q+19683\,b^3\,c^6\,d^6\,h^9\,p^3-19683\,a^3\,c^6\,d^6\,h^9\,q^3+4374\,a^2\,b^4\,c^5\,d^4\,h^6\,p\,q+4374\,a^2\,b\,c^4\,d^5\,h^6\,p\,q^2-4374\,a\,b^2\,c^4\,d^5\,h^6\,p^2\,q-2187\,a^3\,b^3\,c^5\,d^4\,h^6\,q^2-2187\,a\,b^5\,c^5\,d^4\,h^6\,p^2-2187\,a^3\,c^4\,d^5\,h^6\,q^3+1458\,b^3\,c^4\,d^5\,h^6\,p^3-567\,a^2\,b^4\,c^3\,d^3\,h^3\,p\,q+81\,a^2\,b\,c^2\,d^4\,h^3\,p\,q^2-81\,a\,b^2\,c^2\,d^4\,h^3\,p^2\,q+567\,a^3\,b^3\,c^3\,d^3\,h^3\,q^2-81\,a^3\,b^6\,c^4\,d^2\,h^3\,q+162\,a\,b^5\,c^3\,d^3\,h^3\,p^2+81\,a^2\,b^7\,c^4\,d^2\,h^3\,p-81\,a^3\,c^2\,d^4\,h^3\,q^3+27\,b^3\,c^2\,d^4\,h^3\,p^3-3\,a^3\,b^3\,c\,d^2\,q^2-3\,a^3\,b^6\,c^2\,d\,q-a^3\,d^3\,q^3-a^3\,b^9\,c^3,h,k\right)\,\left({\mathrm{root}\left(59049\,a^2\,b\,c^6\,d^6\,h^9\,p\,q^2-59049\,a\,b^2\,c^6\,d^6\,h^9\,p^2\,q+19683\,b^3\,c^6\,d^6\,h^9\,p^3-19683\,a^3\,c^6\,d^6\,h^9\,q^3+4374\,a^2\,b^4\,c^5\,d^4\,h^6\,p\,q+4374\,a^2\,b\,c^4\,d^5\,h^6\,p\,q^2-4374\,a\,b^2\,c^4\,d^5\,h^6\,p^2\,q-2187\,a^3\,b^3\,c^5\,d^4\,h^6\,q^2-2187\,a\,b^5\,c^5\,d^4\,h^6\,p^2-2187\,a^3\,c^4\,d^5\,h^6\,q^3+1458\,b^3\,c^4\,d^5\,h^6\,p^3-567\,a^2\,b^4\,c^3\,d^3\,h^3\,p\,q+81\,a^2\,b\,c^2\,d^4\,h^3\,p\,q^2-81\,a\,b^2\,c^2\,d^4\,h^3\,p^2\,q+567\,a^3\,b^3\,c^3\,d^3\,h^3\,q^2-81\,a^3\,b^6\,c^4\,d^2\,h^3\,q+162\,a\,b^5\,c^3\,d^3\,h^3\,p^2+81\,a^2\,b^7\,c^4\,d^2\,h^3\,p-81\,a^3\,c^2\,d^4\,h^3\,q^3+27\,b^3\,c^2\,d^4\,h^3\,p^3-3\,a^3\,b^3\,c\,d^2\,q^2-3\,a^3\,b^6\,c^2\,d\,q-a^3\,d^3\,q^3-a^3\,b^9\,c^3,h,k\right)}^2\,\left(\mathrm{root}\left(59049\,a^2\,b\,c^6\,d^6\,h^9\,p\,q^2-59049\,a\,b^2\,c^6\,d^6\,h^9\,p^2\,q+19683\,b^3\,c^6\,d^6\,h^9\,p^3-19683\,a^3\,c^6\,d^6\,h^9\,q^3+4374\,a^2\,b^4\,c^5\,d^4\,h^6\,p\,q+4374\,a^2\,b\,c^4\,d^5\,h^6\,p\,q^2-4374\,a\,b^2\,c^4\,d^5\,h^6\,p^2\,q-2187\,a^3\,b^3\,c^5\,d^4\,h^6\,q^2-2187\,a\,b^5\,c^5\,d^4\,h^6\,p^2-2187\,a^3\,c^4\,d^5\,h^6\,q^3+1458\,b^3\,c^4\,d^5\,h^6\,p^3-567\,a^2\,b^4\,c^3\,d^3\,h^3\,p\,q+81\,a^2\,b\,c^2\,d^4\,h^3\,p\,q^2-81\,a\,b^2\,c^2\,d^4\,h^3\,p^2\,q+567\,a^3\,b^3\,c^3\,d^3\,h^3\,q^2-81\,a^3\,b^6\,c^4\,d^2\,h^3\,q+162\,a\,b^5\,c^3\,d^3\,h^3\,p^2+81\,a^2\,b^7\,c^4\,d^2\,h^3\,p-81\,a^3\,c^2\,d^4\,h^3\,q^3+27\,b^3\,c^2\,d^4\,h^3\,p^3-3\,a^3\,b^3\,c\,d^2\,q^2-3\,a^3\,b^6\,c^2\,d\,q-a^3\,d^3\,q^3-a^3\,b^9\,c^3,h,k\right)\,\left(-71744535\,a^{30}\,c^{10}\,d^5\,p^{15}\,q^9+645700815\,a^{29}\,b\,c^{10}\,d^5\,p^{16}\,q^8-2582803260\,a^{28}\,b^2\,c^{10}\,d^5\,p^{17}\,q^7+6026540940\,a^{27}\,b^3\,c^{10}\,d^5\,p^{18}\,q^6-40389516\,a^{27}\,c^9\,d^6\,p^{18}\,q^7-9039811410\,a^{26}\,b^4\,c^{10}\,d^5\,p^{19}\,q^5+282726612\,a^{26}\,b\,c^9\,d^6\,p^{19}\,q^6+9039811410\,a^{25}\,b^5\,c^{10}\,d^5\,p^{20}\,q^4-848179836\,a^{25}\,b^2\,c^9\,d^6\,p^{20}\,q^5-6026540940\,a^{24}\,b^6\,c^{10}\,d^5\,p^{21}\,q^3+1413633060\,a^{24}\,b^3\,c^9\,d^6\,p^{21}\,q^4-7243344\,a^{24}\,c^8\,d^7\,p^{21}\,q^5+2582803260\,a^{23}\,b^7\,c^{10}\,d^5\,p^{22}\,q^2-1413633060\,a^{23}\,b^4\,c^9\,d^6\,p^{22}\,q^3+36216720\,a^{23}\,b\,c^8\,d^7\,p^{22}\,q^4-645700815\,a^{22}\,b^8\,c^{10}\,d^5\,p^{23}\,q+848179836\,a^{22}\,b^5\,c^9\,d^6\,p^{23}\,q^2-72433440\,a^{22}\,b^2\,c^8\,d^7\,p^{23}\,q^3+71744535\,a^{21}\,b^9\,c^{10}\,d^5\,p^{24}-282726612\,a^{21}\,b^6\,c^9\,d^6\,p^{24}\,q+72433440\,a^{21}\,b^3\,c^8\,d^7\,p^{24}\,q^2-419904\,a^{21}\,c^7\,d^8\,p^{24}\,q^3+40389516\,a^{20}\,b^7\,c^9\,d^6\,p^{25}-36216720\,a^{20}\,b^4\,c^8\,d^7\,p^{25}\,q+1259712\,a^{20}\,b\,c^7\,d^8\,p^{25}\,q^2+7243344\,a^{19}\,b^5\,c^8\,d^7\,p^{26}-1259712\,a^{19}\,b^2\,c^7\,d^8\,p^{26}\,q+419904\,a^{18}\,b^3\,c^7\,d^8\,p^{27}\right)+{\left(p\,x^3+q\right)}^{1/3}\,\left(-14348907\,a^{31}\,b\,c^{10}\,d^4\,p^{14}\,q^9+129140163\,a^{30}\,b^2\,c^{10}\,d^4\,p^{15}\,q^8-516560652\,a^{29}\,b^3\,c^{10}\,d^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\mathrm{root}\left(59049\,a^2\,b\,c^6\,d^6\,h^9\,p\,q^2-59049\,a\,b^2\,c^6\,d^6\,h^9\,p^2\,q+19683\,b^3\,c^6\,d^6\,h^9\,p^3-19683\,a^3\,c^6\,d^6\,h^9\,q^3+4374\,a^2\,b^4\,c^5\,d^4\,h^6\,p\,q+4374\,a^2\,b\,c^4\,d^5\,h^6\,p\,q^2-4374\,a\,b^2\,c^4\,d^5\,h^6\,p^2\,q-2187\,a^3\,b^3\,c^5\,d^4\,h^6\,q^2-2187\,a\,b^5\,c^5\,d^4\,h^6\,p^2-2187\,a^3\,c^4\,d^5\,h^6\,q^3+1458\,b^3\,c^4\,d^5\,h^6\,p^3-567\,a^2\,b^4\,c^3\,d^3\,h^3\,p\,q+81\,a^2\,b\,c^2\,d^4\,h^3\,p\,q^2-81\,a\,b^2\,c^2\,d^4\,h^3\,p^2\,q+567\,a^3\,b^3\,c^3\,d^3\,h^3\,q^2-81\,a^3\,b^6\,c^4\,d^2\,h^3\,q+162\,a\,b^5\,c^3\,d^3\,h^3\,p^2+81\,a^2\,b^7\,c^4\,d^2\,h^3\,p-81\,a^3\,c^2\,d^4\,h^3\,q^3+27\,b^3\,c^2\,d^4\,h^3\,p^3-3\,a^3\,b^3\,c\,d^2\,q^2-3\,a^3\,b^6\,c^2\,d\,q-a^3\,d^3\,q^3-a^3\,b^9\,c^3,h,k\right)\right)+\left(\sum _{k=1}^9\ln\left(-\mathrm{root}\left(59049\,a^2\,b\,c^3\,d^6\,h^9\,p\,q^2-59049\,a\,b^2\,c^3\,d^6\,h^9\,p^2\,q+19683\,b^3\,c^3\,d^6\,h^9\,p^3-19683\,a^3\,c^3\,d^6\,h^9\,q^3-4374\,a^2\,b^4\,c^2\,d^4\,h^6\,p\,q+2187\,a^3\,b^3\,c^2\,d^4\,h^6\,q^2+2187\,a\,b^5\,c^2\,d^4\,h^6\,p^2+729\,b^3\,c\,d^5\,h^6\,p^3-81\,a^3\,b^6\,c\,d^2\,h^3\,q+81\,a^2\,b^7\,c\,d^2\,h^3\,p+a^3\,b^9,h,k\right)\,\left({\left(p\,x^3+q\right)}^{1/3}\,\left(-19683\,a^{31}\,b^7\,c^8\,p^{14}\,q^7+137781\,a^{30}\,b^8\,c^8\,p^{15}\,q^6-413343\,a^{29}\,b^9\,c^8\,p^{16}\,q^5+688905\,a^{28}\,b^{10}\,c^8\,p^{17}\,q^4-14580\,a^{28}\,b^7\,c^7\,d\,p^{17}\,q^5-688905\,a^{27}\,b^{11}\,c^8\,p^{18}\,q^3+72900\,a^{27}\,b^8\,c^7\,d\,p^{18}\,q^4+413343\,a^{26}\,b^{12}\,c^8\,p^{19}\,q^2-145800\,a^{26}\,b^9\,c^7\,d\,p^{19}\,q^3-137781\,a^{25}\,b^{13}\,c^8\,p^{20}\,q+145800\,a^{25}\,b^{10}\,c^7\,d\,p^{20}\,q^2-3024\,a^{25}\,b^7\,c^6\,d^2\,p^{20}\,q^3+19683\,a^{24}\,b^{14}\,c^8\,p^{21}-72900\,a^{24}\,b^{11}\,c^7\,d\,p^{21}\,q+9072\,a^{24}\,b^8\,c^6\,d^2\,p^{21}\,q^2+14580\,a^{23}\,b^{12}\,c^7\,d\,p^{22}-9072\,a^{23}\,b^9\,c^6\,d^2\,p^{22}\,q+3024\,a^{22}\,b^{10}\,c^6\,d^2\,p^{23}-192\,a^{22}\,b^7\,c^5\,d^3\,p^{23}\,q+192\,a^{21}\,b^8\,c^5\,d^3\,p^{24}\right)+\mathrm{root}\left(59049\,a^2\,b\,c^3\,d^6\,h^9\,p\,q^2-59049\,a\,b^2\,c^3\,d^6\,h^9\,p^2\,q+19683\,b^3\,c^3\,d^6\,h^9\,p^3-19683\,a^3\,c^3\,d^6\,h^9\,q^3-4374\,a^2\,b^4\,c^2\,d^4\,h^6\,p\,q+2187\,a^3\,b^3\,c^2\,d^4\,h^6\,q^2+2187\,a\,b^5\,c^2\,d^4\,h^6\,p^2+729\,b^3\,c\,d^5\,h^6\,p^3-81\,a^3\,b^6\,c\,d^2\,h^3\,q+81\,a^2\,b^7\,c\,d^2\,h^3\,p+a^3\,b^9,h,k\right)\,\left({\mathrm{root}\left(59049\,a^2\,b\,c^3\,d^6\,h^9\,p\,q^2-59049\,a\,b^2\,c^3\,d^6\,h^9\,p^2\,q+19683\,b^3\,c^3\,d^6\,h^9\,p^3-19683\,a^3\,c^3\,d^6\,h^9\,q^3-4374\,a^2\,b^4\,c^2\,d^4\,h^6\,p\,q+2187\,a^3\,b^3\,c^2\,d^4\,h^6\,q^2+2187\,a\,b^5\,c^2\,d^4\,h^6\,p^2+729\,b^3\,c\,d^5\,h^6\,p^3-81\,a^3\,b^6\,c\,d^2\,h^3\,q+81\,a^2\,b^7\,c\,d^2\,h^3\,p+a^3\,b^9,h,k\right)}^2\,\left({\left(p\,x^3+q\right)}^{1/3}\,\left(1062882\,a^{31}\,b^4\,c^9\,d^2\,p^{14}\,q^8-8503056\,a^{30}\,b^5\,c^9\,d^2\,p^{15}\,q^7+29760696\,a^{29}\,b^6\,c^9\,d^2\,p^{16}\,q^6-59521392\,a^{28}\,b^7\,c^9\,d^2\,p^{17}\,q^5+1023516\,a^{28}\,b^4\,c^8\,d^3\,p^{17}\,q^6+74401740\,a^{27}\,b^8\,c^9\,d^2\,p^{18}\,q^4-6141096\,a^{27}\,b^5\,c^8\,d^3\,p^{18}\,q^5-59521392\,a^{26}\,b^9\,c^9\,d^2\,p^{19}\,q^3+15352740\,a^{26}\,b^6\,c^8\,d^3\,p^{19}\,q^4+29760696\,a^{25}\,b^{10}\,c^9\,d^2\,p^{20}\,q^2-20470320\,a^{25}\,b^7\,c^8\,d^3\,p^{20}\,q^3+233280\,a^{25}\,b^4\,c^7\,d^4\,p^{20}\,q^4-8503056\,a^{24}\,b^{11}\,c^9\,d^2\,p^{21}\,q+15352740\,a^{24}\,b^8\,c^8\,d^3\,p^{21}\,q^2-933120\,a^{24}\,b^5\,c^7\,d^4\,p^{21}\,q^3+1062882\,a^{23}\,b^{12}\,c^9\,d^2\,p^{22}-6141096\,a^{23}\,b^9\,c^8\,d^3\,p^{22}\,q+1399680\,a^{23}\,b^6\,c^7\,d^4\,p^{22}\,q^2+1023516\,a^{22}\,b^{10}\,c^8\,d^3\,p^{23}-933120\,a^{22}\,b^7\,c^7\,d^4\,p^{23}\,q+15552\,a^{22}\,b^4\,c^6\,d^5\,p^{23}\,q^2+233280\,a^{21}\,b^8\,c^7\,d^4\,p^{24}-31104\,a^{21}\,b^5\,c^6\,d^5\,p^{24}\,q+15552\,a^{20}\,b^6\,c^6\,d^5\,p^{25}\right)-\mathrm{root}\left(59049\,a^2\,b\,c^3\,d^6\,h^9\,p\,q^2-59049\,a\,b^2\,c^3\,d^6\,h^9\,p^2\,q+19683\,b^3\,c^3\,d^6\,h^9\,p^3-19683\,a^3\,c^3\,d^6\,h^9\,q^3-4374\,a^2\,b^4\,c^2\,d^4\,h^6\,p\,q+2187\,a^3\,b^3\,c^2\,d^4\,h^6\,q^2+2187\,a\,b^5\,c^2\,d^4\,h^6\,p^2+729\,b^3\,c\,d^5\,h^6\,p^3-81\,a^3\,b^6\,c\,d^2\,h^3\,q+81\,a^2\,b^7\,c\,d^2\,h^3\,p+a^3\,b^9,h,k\right)\,\left({\mathrm{root}\left(59049\,a^2\,b\,c^3\,d^6\,h^9\,p\,q^2-59049\,a\,b^2\,c^3\,d^6\,h^9\,p^2\,q+19683\,b^3\,c^3\,d^6\,h^9\,p^3-19683\,a^3\,c^3\,d^6\,h^9\,q^3-4374\,a^2\,b^4\,c^2\,d^4\,h^6\,p\,q+2187\,a^3\,b^3\,c^2\,d^4\,h^6\,q^2+2187\,a\,b^5\,c^2\,d^4\,h^6\,p^2+729\,b^3\,c\,d^5\,h^6\,p^3-81\,a^3\,b^6\,c\,d^2\,h^3\,q+81\,a^2\,b^7\,c\,d^2\,h^3\,p+a^3\,b^9,h,k\right)}^2\,\left(\mathrm{root}\left(59049\,a^2\,b\,c^3\,d^6\,h^9\,p\,q^2-59049\,a\,b^2\,c^3\,d^6\,h^9\,p^2\,q+19683\,b^3\,c^3\,d^6\,h^9\,p^3-19683\,a^3\,c^3\,d^6\,h^9\,q^3-4374\,a^2\,b^4\,c^2\,d^4\,h^6\,p\,q+2187\,a^3\,b^3\,c^2\,d^4\,h^6\,q^2+2187\,a\,b^5\,c^2\,d^4\,h^6\,p^2+729\,b^3\,c\,d^5\,h^6\,p^3-81\,a^3\,b^6\,c\,d^2\,h^3\,q+81\,a^2\,b^7\,c\,d^2\,h^3\,p+a^3\,b^9,h,k\right)\,\left(-71744535\,a^{30}\,c^{10}\,d^5\,p^{15}\,q^9+645700815\,a^{29}\,b\,c^{10}\,d^5\,p^{16}\,q^8-2582803260\,a^{28}\,b^2\,c^{10}\,d^5\,p^{17}\,q^7+6026540940\,a^{27}\,b^3\,c^{10}\,d^5\,p^{18}\,q^6-40389516\,a^{27}\,c^9\,d^6\,p^{18}\,q^7-9039811410\,a^{26}\,b^4\,c^{10}\,d^5\,p^{19}\,q^5+282726612\,a^{26}\,b\,c^9\,d^6\,p^{19}\,q^6+9039811410\,a^{25}\,b^5\,c^{10}\,d^5\,p^{20}\,q^4-848179836\,a^{25}\,b^2\,c^9\,d^6\,p^{20}\,q^5-6026540940\,a^{24}\,b^6\,c^{10}\,d^5\,p^{21}\,q^3+1413633060\,a^{24}\,b^3\,c^9\,d^6\,p^{21}\,q^4-7243344\,a^{24}\,c^8\,d^7\,p^{21}\,q^5+2582803260\,a^{23}\,b^7\,c^{10}\,d^5\,p^{22}\,q^2-1413633060\,a^{23}\,b^4\,c^9\,d^6\,p^{22}\,q^3+36216720\,a^{23}\,b\,c^8\,d^7\,p^{22}\,q^4-645700815\,a^{22}\,b^8\,c^{10}\,d^5\,p^{23}\,q+848179836\,a^{22}\,b^5\,c^9\,d^6\,p^{23}\,q^2-72433440\,a^{22}\,b^2\,c^8\,d^7\,p^{23}\,q^3+71744535\,a^{21}\,b^9\,c^{10}\,d^5\,p^{24}-282726612\,a^{21}\,b^6\,c^9\,d^6\,p^{24}\,q+72433440\,a^{21}\,b^3\,c^8\,d^7\,p^{24}\,q^2-419904\,a^{21}\,c^7\,d^8\,p^{24}\,q^3+40389516\,a^{20}\,b^7\,c^9\,d^6\,p^{25}-36216720\,a^{20}\,b^4\,c^8\,d^7\,p^{25}\,q+1259712\,a^{20}\,b\,c^7\,d^8\,p^{25}\,q^2+7243344\,a^{19}\,b^5\,c^8\,d^7\,p^{26}-1259712\,a^{19}\,b^2\,c^7\,d^8\,p^{26}\,q+419904\,a^{18}\,b^3\,c^7\,d^8\,p^{27}\right)-{\left(p\,x^3+q\right)}^{1/3}\,\left(-14348907\,a^{31}\,b\,c^{10}\,d^4\,p^{14}\,q^9+129140163\,a^{30}\,b^2\,c^{10}\,d^4\,p^{15}\,q^8-516560652\,a^{29}\,b^3\,c^{10}\,d^4\,p^{16}\,q^7+1205308188\,a^{28}\,b^4\,c^{10}\,d^4\,p^{17}\,q^6-40920957\,a^{28}\,b\,c^9\,d^5\,p^{17}\,q^7-1807962282\,a^{27}\,b^5\,c^{10}\,d^4\,p^{18}\,q^5+286446699\,a^{27}\,b^2\,c^9\,d^5\,p^{18}\,q^6+1807962282\,a^{26}\,b^6\,c^{10}\,d^4\,p^{19}\,q^4-859340097\,a^{26}\,b^3\,c^9\,d^5\,p^{19}\,q^5-1205308188\,a^{25}\,b^7\,c^{10}\,d^4\,p^{20}\,q^3+1432233495\,a^{25}\,b^4\,c^9\,d^5\,p^{20}\,q^4-17557236\,a^{25}\,b\,c^8\,d^6\,p^{20}\,q^5+516560652\,a^{24}\,b^8\,c^{10}\,d^4\,p^{21}\,q^2-1432233495\,a^{24}\,b^5\,c^9\,d^5\,p^{21}\,q^3+87786180\,a^{24}\,b^2\,c^8\,d^6\,p^{21}\,q^4-129140163\,a^{23}\,b^9\,c^{10}\,d^4\,p^{22}\,q+859340097\,a^{23}\,b^6\,c^9\,d^5\,p^{22}\,q^2-175572360\,a^{23}\,b^3\,c^8\,d^6\,p^{22}\,q^3+14348907\,a^{22}\,b^{10}\,c^{10}\,d^4\,p^{23}-286446699\,a^{22}\,b^7\,c^9\,d^5\,p^{23}\,q+175572360\,a^{22}\,b^4\,c^8\,d^6\,p^{23}\,q^2-2694384\,a^{22}\,b\,c^7\,d^7\,p^{23}\,q^3+40920957\,a^{21}\,b^8\,c^9\,d^5\,p^{24}-87786180\,a^{21}\,b^5\,c^8\,d^6\,p^{24}\,q+8083152\,a^{21}\,b^2\,c^7\,d^7\,p^{24}\,q^2+17557236\,a^{20}\,b^6\,c^8\,d^6\,p^{25}-8083152\,a^{20}\,b^3\,c^7\,d^7\,p^{25}\,q+2694384\,a^{19}\,b^4\,c^7\,d^7\,p^{26}-139968\,a^{19}\,b\,c^6\,d^8\,p^{26}\,q+139968\,a^{18}\,b^2\,c^6\,d^8\,p^{27}\right)\right)+81648\,a^{20}\,b^7\,c^7\,d^5\,p^{25}+1102248\,a^{21}\,b^9\,c^8\,d^4\,p^{24}+3720087\,a^{22}\,b^{11}\,c^9\,d^3\,p^{23}+489888\,a^{22}\,b^5\,c^7\,d^5\,p^{23}\,q^2-326592\,a^{23}\,b^4\,c^7\,d^5\,p^{22}\,q^3+81648\,a^{24}\,b^3\,c^7\,d^5\,p^{21}\,q^4+16533720\,a^{23}\,b^7\,c^8\,d^4\,p^{22}\,q^2-22044960\,a^{24}\,b^6\,c^8\,d^4\,p^{21}\,q^3+16533720\,a^{25}\,b^5\,c^8\,d^4\,p^{20}\,q^4-6613488\,a^{26}\,b^4\,c^8\,d^4\,p^{19}\,q^5+1102248\,a^{27}\,b^3\,c^8\,d^4\,p^{18}\,q^6+104162436\,a^{24}\,b^9\,c^9\,d^3\,p^{21}\,q^2-208324872\,a^{25}\,b^8\,c^9\,d^3\,p^{20}\,q^3+260406090\,a^{26}\,b^7\,c^9\,d^3\,p^{19}\,q^4-208324872\,a^{27}\,b^6\,c^9\,d^3\,p^{18}\,q^5+104162436\,a^{28}\,b^5\,c^9\,d^3\,p^{17}\,q^6-29760696\,a^{29}\,b^4\,c^9\,d^3\,p^{16}\,q^7+3720087\,a^{30}\,b^3\,c^9\,d^3\,p^{15}\,q^8-326592\,a^{21}\,b^6\,c^7\,d^5\,p^{24}\,q-6613488\,a^{22}\,b^8\,c^8\,d^4\,p^{23}\,q-29760696\,a^{23}\,b^{10}\,c^9\,d^3\,p^{22}\,q\right)\right)-864\,a^{21}\,b^9\,c^6\,d^3\,p^{24}-11664\,a^{22}\,b^{11}\,c^7\,d^2\,p^{23}-39366\,a^{23}\,b^{13}\,c^8\,d\,p^{22}-2592\,a^{23}\,b^7\,c^6\,d^3\,p^{22}\,q^2+864\,a^{24}\,b^6\,c^6\,d^3\,p^{21}\,q^3-116640\,a^{24}\,b^9\,c^7\,d^2\,p^{21}\,q^2+116640\,a^{25}\,b^8\,c^7\,d^2\,p^{20}\,q^3-58320\,a^{26}\,b^7\,c^7\,d^2\,p^{19}\,q^4+11664\,a^{27}\,b^6\,c^7\,d^2\,p^{18}\,q^5+275562\,a^{24}\,b^{12}\,c^8\,d\,p^{21}\,q+2592\,a^{22}\,b^8\,c^6\,d^3\,p^{23}\,q+58320\,a^{23}\,b^{10}\,c^7\,d^2\,p^{22}\,q-826686\,a^{25}\,b^{11}\,c^8\,d\,p^{20}\,q^2+1377810\,a^{26}\,b^{10}\,c^8\,d\,p^{19}\,q^3-1377810\,a^{27}\,b^9\,c^8\,d\,p^{18}\,q^4+826686\,a^{28}\,b^8\,c^8\,d\,p^{17}\,q^5-275562\,a^{29}\,b^7\,c^8\,d\,p^{16}\,q^6+39366\,a^{30}\,b^6\,c^8\,d\,p^{15}\,q^7\right)\right)\right)\,\mathrm{root}\left(59049\,a^2\,b\,c^3\,d^6\,h^9\,p\,q^2-59049\,a\,b^2\,c^3\,d^6\,h^9\,p^2\,q+19683\,b^3\,c^3\,d^6\,h^9\,p^3-19683\,a^3\,c^3\,d^6\,h^9\,q^3-4374\,a^2\,b^4\,c^2\,d^4\,h^6\,p\,q+2187\,a^3\,b^3\,c^2\,d^4\,h^6\,q^2+2187\,a\,b^5\,c^2\,d^4\,h^6\,p^2+729\,b^3\,c\,d^5\,h^6\,p^3-81\,a^3\,b^6\,c\,d^2\,h^3\,q+81\,a^2\,b^7\,c\,d^2\,h^3\,p+a^3\,b^9,h,k\right)\right)","Not used",1,"symsum(log(root(59049*a^2*b*c^6*d^6*h^9*p*q^2 - 59049*a*b^2*c^6*d^6*h^9*p^2*q + 19683*b^3*c^6*d^6*h^9*p^3 - 19683*a^3*c^6*d^6*h^9*q^3 + 4374*a^2*b^4*c^5*d^4*h^6*p*q + 4374*a^2*b*c^4*d^5*h^6*p*q^2 - 4374*a*b^2*c^4*d^5*h^6*p^2*q - 2187*a^3*b^3*c^5*d^4*h^6*q^2 - 2187*a*b^5*c^5*d^4*h^6*p^2 - 2187*a^3*c^4*d^5*h^6*q^3 + 1458*b^3*c^4*d^5*h^6*p^3 - 567*a^2*b^4*c^3*d^3*h^3*p*q + 81*a^2*b*c^2*d^4*h^3*p*q^2 - 81*a*b^2*c^2*d^4*h^3*p^2*q + 567*a^3*b^3*c^3*d^3*h^3*q^2 - 81*a^3*b^6*c^4*d^2*h^3*q + 162*a*b^5*c^3*d^3*h^3*p^2 + 81*a^2*b^7*c^4*d^2*h^3*p - 81*a^3*c^2*d^4*h^3*q^3 + 27*b^3*c^2*d^4*h^3*p^3 - 3*a^3*b^3*c*d^2*q^2 - 3*a^3*b^6*c^2*d*q - a^3*d^3*q^3 - a^3*b^9*c^3, h, k)*((q + p*x^3)^(1/3)*(19683*a^24*b^14*c^8*p^21 + 192*a^19*b^4*c^3*d^5*p^26 + 4272*a^20*b^6*c^4*d^4*p^25 + 34596*a^21*b^8*c^5*d^3*p^24 + 119745*a^22*b^10*c^6*d^2*p^23 + 413343*a^26*b^12*c^8*p^19*q^2 - 688905*a^27*b^11*c^8*p^18*q^3 + 688905*a^28*b^10*c^8*p^17*q^4 - 413343*a^29*b^9*c^8*p^16*q^5 + 137781*a^30*b^8*c^8*p^15*q^6 - 19683*a^31*b^7*c^8*p^14*q^7 - 192*a^20*c^2*d^6*p^25*q^2 - 3504*a^23*c^3*d^5*p^22*q^4 - 21060*a^26*c^4*d^4*p^19*q^6 - 41553*a^29*c^5*d^3*p^16*q^8 + 150174*a^23*b^12*c^7*d*p^22 - 137781*a^25*b^13*c^8*p^20*q - 11664*a^21*b^2*c^3*d^5*p^24*q^2 - 140292*a^22*b^4*c^4*d^4*p^23*q^2 + 264504*a^23*b^3*c^4*d^4*p^22*q^3 - 241704*a^24*b^2*c^4*d^4*p^21*q^4 - 431751*a^23*b^6*c^5*d^3*p^22*q^2 + 1516725*a^24*b^5*c^5*d^3*p^21*q^3 - 2358207*a^25*b^4*c^5*d^3*p^20*q^4 + 2079999*a^26*b^3*c^5*d^3*p^19*q^5 - 1088397*a^27*b^2*c^5*d^3*p^18*q^6 + 714501*a^24*b^8*c^6*d^2*p^21*q^2 + 694305*a^25*b^7*c^6*d^2*p^20*q^3 - 3354777*a^26*b^6*c^6*d^2*p^19*q^4 + 4758183*a^27*b^5*c^6*d^2*p^18*q^5 - 3657393*a^28*b^4*c^6*d^2*p^17*q^6 + 1629315*a^29*b^3*c^6*d^2*p^16*q^7 - 393660*a^30*b^2*c^6*d^2*p^15*q^8 + 192*a^19*b*c^2*d^6*p^26*q - 1024245*a^24*b^11*c^7*d*p^21*q + 4080*a^20*b^3*c^3*d^5*p^25*q + 10896*a^22*b*c^3*d^5*p^23*q^3 + 22932*a^21*b^5*c^4*d^4*p^24*q + 111348*a^25*b*c^4*d^4*p^20*q^5 - 31443*a^22*b^7*c^5*d^3*p^23*q + 320031*a^28*b*c^5*d^3*p^17*q^7 - 549585*a^23*b^9*c^6*d^2*p^22*q + 39366*a^31*b*c^6*d^2*p^14*q^9 + 3026079*a^25*b^10*c^7*d*p^20*q^2 - 5042493*a^26*b^9*c^7*d*p^19*q^3 + 5157675*a^27*b^8*c^7*d*p^18*q^4 - 3288519*a^28*b^7*c^7*d*p^17*q^5 + 1257525*a^29*b^6*c^7*d*p^16*q^6 - 255879*a^30*b^5*c^7*d*p^15*q^7 + 19683*a^31*b^4*c^7*d*p^14*q^8) + root(59049*a^2*b*c^6*d^6*h^9*p*q^2 - 59049*a*b^2*c^6*d^6*h^9*p^2*q + 19683*b^3*c^6*d^6*h^9*p^3 - 19683*a^3*c^6*d^6*h^9*q^3 + 4374*a^2*b^4*c^5*d^4*h^6*p*q + 4374*a^2*b*c^4*d^5*h^6*p*q^2 - 4374*a*b^2*c^4*d^5*h^6*p^2*q - 2187*a^3*b^3*c^5*d^4*h^6*q^2 - 2187*a*b^5*c^5*d^4*h^6*p^2 - 2187*a^3*c^4*d^5*h^6*q^3 + 1458*b^3*c^4*d^5*h^6*p^3 - 567*a^2*b^4*c^3*d^3*h^3*p*q + 81*a^2*b*c^2*d^4*h^3*p*q^2 - 81*a*b^2*c^2*d^4*h^3*p^2*q + 567*a^3*b^3*c^3*d^3*h^3*q^2 - 81*a^3*b^6*c^4*d^2*h^3*q + 162*a*b^5*c^3*d^3*h^3*p^2 + 81*a^2*b^7*c^4*d^2*h^3*p - 81*a^3*c^2*d^4*h^3*q^3 + 27*b^3*c^2*d^4*h^3*p^3 - 3*a^3*b^3*c*d^2*q^2 - 3*a^3*b^6*c^2*d*q - a^3*d^3*q^3 - a^3*b^9*c^3, h, 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3431160*a^22*b^4*c^6*d^5*p^23*q^2 + 9596880*a^23*b^3*c^6*d^5*p^22*q^3 - 10999152*a^24*b^2*c^6*d^5*p^21*q^4 + 7650126*a^23*b^6*c^7*d^4*p^22*q^2 + 7944642*a^24*b^5*c^7*d^4*p^21*q^3 - 44738730*a^25*b^4*c^7*d^4*p^20*q^4 + 64722078*a^26*b^3*c^7*d^4*p^19*q^5 - 45703926*a^27*b^2*c^7*d^4*p^18*q^6 + 49837356*a^24*b^8*c^8*d^3*p^21*q^2 - 139906764*a^25*b^7*c^8*d^3*p^20*q^3 + 219426084*a^26*b^6*c^8*d^3*p^19*q^4 - 204663834*a^27*b^5*c^8*d^3*p^18*q^5 + 111405780*a^28*b^4*c^8*d^3*p^17*q^6 - 30941676*a^29*b^3*c^8*d^3*p^16*q^7 + 2125764*a^30*b^2*c^8*d^3*p^15*q^8 - 29760696*a^25*b^10*c^9*d^2*p^20*q^2 + 59521392*a^26*b^9*c^9*d^2*p^19*q^3 - 74401740*a^27*b^8*c^9*d^2*p^18*q^4 + 59521392*a^28*b^7*c^9*d^2*p^17*q^5 - 29760696*a^29*b^6*c^9*d^2*p^16*q^6 + 8503056*a^30*b^5*c^9*d^2*p^15*q^7 - 1062882*a^31*b^4*c^9*d^2*p^14*q^8 + 10368*a^19*b*c^4*d^7*p^26*q + 142560*a^20*b^3*c^5*d^6*p^25*q + 572832*a^22*b*c^5*d^6*p^23*q^3 + 52488*a^21*b^5*c^6*d^5*p^24*q + 5767848*a^25*b*c^6*d^5*p^20*q^5 - 4320054*a^22*b^7*c^7*d^4*p^23*q + 16100694*a^28*b*c^7*d^4*p^17*q^7 - 7971615*a^23*b^9*c^8*d^3*p^22*q + 531441*a^31*b*c^8*d^3*p^14*q^9 + 8503056*a^24*b^11*c^9*d^2*p^21*q) + root(59049*a^2*b*c^6*d^6*h^9*p*q^2 - 59049*a*b^2*c^6*d^6*h^9*p^2*q + 19683*b^3*c^6*d^6*h^9*p^3 - 19683*a^3*c^6*d^6*h^9*q^3 + 4374*a^2*b^4*c^5*d^4*h^6*p*q + 4374*a^2*b*c^4*d^5*h^6*p*q^2 - 4374*a*b^2*c^4*d^5*h^6*p^2*q - 2187*a^3*b^3*c^5*d^4*h^6*q^2 - 2187*a*b^5*c^5*d^4*h^6*p^2 - 2187*a^3*c^4*d^5*h^6*q^3 + 1458*b^3*c^4*d^5*h^6*p^3 - 567*a^2*b^4*c^3*d^3*h^3*p*q + 81*a^2*b*c^2*d^4*h^3*p*q^2 - 81*a*b^2*c^2*d^4*h^3*p^2*q + 567*a^3*b^3*c^3*d^3*h^3*q^2 - 81*a^3*b^6*c^4*d^2*h^3*q + 162*a*b^5*c^3*d^3*h^3*p^2 + 81*a^2*b^7*c^4*d^2*h^3*p - 81*a^3*c^2*d^4*h^3*q^3 + 27*b^3*c^2*d^4*h^3*p^3 - 3*a^3*b^3*c*d^2*q^2 - 3*a^3*b^6*c^2*d*q - a^3*d^3*q^3 - a^3*b^9*c^3, h, k)*(root(59049*a^2*b*c^6*d^6*h^9*p*q^2 - 59049*a*b^2*c^6*d^6*h^9*p^2*q + 19683*b^3*c^6*d^6*h^9*p^3 - 19683*a^3*c^6*d^6*h^9*q^3 + 4374*a^2*b^4*c^5*d^4*h^6*p*q + 4374*a^2*b*c^4*d^5*h^6*p*q^2 - 4374*a*b^2*c^4*d^5*h^6*p^2*q - 2187*a^3*b^3*c^5*d^4*h^6*q^2 - 2187*a*b^5*c^5*d^4*h^6*p^2 - 2187*a^3*c^4*d^5*h^6*q^3 + 1458*b^3*c^4*d^5*h^6*p^3 - 567*a^2*b^4*c^3*d^3*h^3*p*q + 81*a^2*b*c^2*d^4*h^3*p*q^2 - 81*a*b^2*c^2*d^4*h^3*p^2*q + 567*a^3*b^3*c^3*d^3*h^3*q^2 - 81*a^3*b^6*c^4*d^2*h^3*q + 162*a*b^5*c^3*d^3*h^3*p^2 + 81*a^2*b^7*c^4*d^2*h^3*p - 81*a^3*c^2*d^4*h^3*q^3 + 27*b^3*c^2*d^4*h^3*p^3 - 3*a^3*b^3*c*d^2*q^2 - 3*a^3*b^6*c^2*d*q - a^3*d^3*q^3 - a^3*b^9*c^3, h, k)^2*(root(59049*a^2*b*c^6*d^6*h^9*p*q^2 - 59049*a*b^2*c^6*d^6*h^9*p^2*q + 19683*b^3*c^6*d^6*h^9*p^3 - 19683*a^3*c^6*d^6*h^9*q^3 + 4374*a^2*b^4*c^5*d^4*h^6*p*q + 4374*a^2*b*c^4*d^5*h^6*p*q^2 - 4374*a*b^2*c^4*d^5*h^6*p^2*q - 2187*a^3*b^3*c^5*d^4*h^6*q^2 - 2187*a*b^5*c^5*d^4*h^6*p^2 - 2187*a^3*c^4*d^5*h^6*q^3 + 1458*b^3*c^4*d^5*h^6*p^3 - 567*a^2*b^4*c^3*d^3*h^3*p*q + 81*a^2*b*c^2*d^4*h^3*p*q^2 - 81*a*b^2*c^2*d^4*h^3*p^2*q + 567*a^3*b^3*c^3*d^3*h^3*q^2 - 81*a^3*b^6*c^4*d^2*h^3*q + 162*a*b^5*c^3*d^3*h^3*p^2 + 81*a^2*b^7*c^4*d^2*h^3*p - 81*a^3*c^2*d^4*h^3*q^3 + 27*b^3*c^2*d^4*h^3*p^3 - 3*a^3*b^3*c*d^2*q^2 - 3*a^3*b^6*c^2*d*q - a^3*d^3*q^3 - a^3*b^9*c^3, h, k)*(419904*a^18*b^3*c^7*d^8*p^27 + 7243344*a^19*b^5*c^8*d^7*p^26 + 40389516*a^20*b^7*c^9*d^6*p^25 + 71744535*a^21*b^9*c^10*d^5*p^24 - 419904*a^21*c^7*d^8*p^24*q^3 - 7243344*a^24*c^8*d^7*p^21*q^5 - 40389516*a^27*c^9*d^6*p^18*q^7 - 71744535*a^30*c^10*d^5*p^15*q^9 + 72433440*a^21*b^3*c^8*d^7*p^24*q^2 - 72433440*a^22*b^2*c^8*d^7*p^23*q^3 + 848179836*a^22*b^5*c^9*d^6*p^23*q^2 - 1413633060*a^23*b^4*c^9*d^6*p^22*q^3 + 1413633060*a^24*b^3*c^9*d^6*p^21*q^4 - 848179836*a^25*b^2*c^9*d^6*p^20*q^5 + 2582803260*a^23*b^7*c^10*d^5*p^22*q^2 - 6026540940*a^24*b^6*c^10*d^5*p^21*q^3 + 9039811410*a^25*b^5*c^10*d^5*p^20*q^4 - 9039811410*a^26*b^4*c^10*d^5*p^19*q^5 + 6026540940*a^27*b^3*c^10*d^5*p^18*q^6 - 2582803260*a^28*b^2*c^10*d^5*p^17*q^7 - 1259712*a^19*b^2*c^7*d^8*p^26*q + 1259712*a^20*b*c^7*d^8*p^25*q^2 - 36216720*a^20*b^4*c^8*d^7*p^25*q + 36216720*a^23*b*c^8*d^7*p^22*q^4 - 282726612*a^21*b^6*c^9*d^6*p^24*q + 282726612*a^26*b*c^9*d^6*p^19*q^6 - 645700815*a^22*b^8*c^10*d^5*p^23*q + 645700815*a^29*b*c^10*d^5*p^16*q^8) + (q + p*x^3)^(1/3)*(139968*a^19*b^4*c^7*d^7*p^26 + 2204496*a^20*b^6*c^8*d^6*p^25 + 10628820*a^21*b^8*c^9*d^5*p^24 + 14348907*a^22*b^10*c^10*d^4*p^23 - 139968*a^20*c^6*d^8*p^25*q^2 - 2554416*a^23*c^7*d^7*p^22*q^4 - 15352740*a^26*c^8*d^6*p^19*q^6 - 30292137*a^29*c^9*d^5*p^16*q^8 - 7243344*a^21*b^2*c^7*d^7*p^24*q^2 - 54718740*a^22*b^4*c^8*d^6*p^23*q^2 + 131482440*a^23*b^3*c^8*d^6*p^22*q^3 - 142504920*a^24*b^2*c^8*d^6*p^21*q^4 + 11160261*a^23*b^6*c^9*d^5*p^22*q^2 + 264126177*a^24*b^5*c^9*d^5*p^21*q^3 - 688216095*a^25*b^4*c^9*d^5*p^20*q^4 + 837019575*a^26*b^3*c^9*d^5*p^19*q^5 - 561733137*a^27*b^2*c^9*d^5*p^18*q^6 + 516560652*a^24*b^8*c^10*d^4*p^21*q^2 - 1205308188*a^25*b^7*c^10*d^4*p^20*q^3 + 1807962282*a^26*b^6*c^10*d^4*p^19*q^4 - 1807962282*a^27*b^5*c^10*d^4*p^18*q^5 + 1205308188*a^28*b^4*c^10*d^4*p^17*q^6 - 516560652*a^29*b^3*c^10*d^4*p^16*q^7 + 129140163*a^30*b^2*c^10*d^4*p^15*q^8 + 139968*a^19*b*c^6*d^8*p^26*q + 2134512*a^20*b^3*c^7*d^7*p^25*q + 7523280*a^22*b*c^7*d^7*p^23*q^3 + 4330260*a^21*b^5*c^8*d^6*p^24*q + 74559204*a^25*b*c^8*d^6*p^20*q^5 - 44109603*a^22*b^7*c^9*d^5*p^23*q + 201416139*a^28*b*c^9*d^5*p^17*q^7 - 129140163*a^23*b^9*c^10*d^4*p^22*q - 14348907*a^31*b*c^10*d^4*p^14*q^9)) + 31104*a^18*b^3*c^5*d^7*p^27 + 489888*a^19*b^5*c^6*d^6*p^26 + 2175336*a^20*b^7*c^7*d^5*p^25 + 669222*a^21*b^9*c^8*d^4*p^24 - 8503056*a^22*b^11*c^9*d^3*p^23 - 31104*a^21*c^5*d^7*p^24*q^3 - 536544*a^24*c^6*d^6*p^21*q^5 - 2991816*a^27*c^7*d^5*p^18*q^7 - 5314410*a^30*c^8*d^4*p^15*q^9 + 5365440*a^21*b^3*c^6*d^6*p^24*q^2 - 5458752*a^22*b^2*c^6*d^6*p^23*q^3 + 58139208*a^22*b^5*c^7*d^5*p^23*q^2 - 103337208*a^23*b^4*c^7*d^5*p^22*q^3 + 107256312*a^24*b^3*c^7*d^5*p^21*q^4 - 65242584*a^25*b^2*c^7*d^5*p^20*q^5 + 115263648*a^23*b^7*c^8*d^4*p^22*q^2 - 345003624*a^24*b^6*c^8*d^4*p^21*q^3 + 603480780*a^25*b^5*c^8*d^4*p^20*q^4 - 663002172*a^26*b^4*c^8*d^4*p^19*q^5 + 465148656*a^27*b^3*c^8*d^4*p^18*q^6 - 202656168*a^28*b^2*c^8*d^4*p^17*q^7 - 276349320*a^24*b^9*c^9*d^3*p^21*q^2 + 610094268*a^25*b^8*c^9*d^3*p^20*q^3 - 863060184*a^26*b^7*c^9*d^3*p^19*q^4 + 810978966*a^27*b^6*c^9*d^3*p^18*q^5 - 505931832*a^28*b^5*c^9*d^3*p^17*q^6 + 201947580*a^29*b^4*c^9*d^3*p^16*q^7 - 46766808*a^30*b^3*c^9*d^3*p^15*q^8 + 4782969*a^31*b^2*c^9*d^3*p^14*q^9 - 93312*a^19*b^2*c^5*d^7*p^26*q + 93312*a^20*b*c^5*d^7*p^25*q^2 - 2589408*a^20*b^4*c^6*d^6*p^25*q + 2729376*a^23*b*c^6*d^6*p^22*q^4 - 17571816*a^21*b^6*c^7*d^5*p^24*q + 21572568*a^26*b*c^7*d^5*p^19*q^6 - 18541386*a^22*b^8*c^8*d^4*p^23*q + 49955454*a^29*b*c^8*d^4*p^16*q^8 + 72807417*a^23*b^10*c^9*d^3*p^22*q)) + 576*a^18*b^3*c^3*d^6*p^27 + 13392*a^19*b^5*c^4*d^5*p^26 + 115452*a^20*b^7*c^5*d^4*p^25 + 441423*a^21*b^9*c^6*d^3*p^24 + 674325*a^22*b^11*c^7*d^2*p^23 - 576*a^21*c^3*d^6*p^24*q^3 - 9936*a^24*c^4*d^5*p^21*q^5 - 55404*a^27*c^5*d^4*p^18*q^7 - 98415*a^30*c^6*d^3*p^15*q^9 + 216513*a^23*b^13*c^8*d*p^22 + 114912*a^21*b^3*c^4*d^5*p^24*q^2 - 108000*a^22*b^2*c^4*d^5*p^23*q^3 + 1855548*a^22*b^5*c^5*d^4*p^23*q^2 - 2736612*a^23*b^4*c^5*d^4*p^22*q^3 + 2449332*a^24*b^3*c^5*d^4*p^21*q^4 - 1334556*a^25*b^2*c^5*d^4*p^20*q^5 + 10710144*a^23*b^7*c^6*d^3*p^22*q^2 - 20521728*a^24*b^6*c^6*d^3*p^21*q^3 + 25365798*a^25*b^5*c^6*d^3*p^20*q^4 - 21063726*a^26*b^4*c^6*d^3*p^19*q^5 + 11821464*a^27*b^3*c^6*d^3*p^18*q^6 - 4356504*a^28*b^2*c^6*d^3*p^17*q^7 + 20547594*a^24*b^9*c^7*d^2*p^21*q^2 - 44429634*a^25*b^8*c^7*d^2*p^20*q^3 + 62020404*a^26*b^7*c^7*d^2*p^19*q^4 - 57919050*a^27*b^6*c^7*d^2*p^18*q^5 + 36151110*a^28*b^5*c^7*d^2*p^17*q^6 - 14526054*a^29*b^4*c^7*d^2*p^16*q^7 + 3405159*a^30*b^3*c^7*d^2*p^15*q^8 - 354294*a^31*b^2*c^7*d^2*p^14*q^9 - 1692738*a^24*b^12*c^8*d*p^21*q - 1728*a^19*b^2*c^3*d^6*p^26*q + 1728*a^20*b*c^3*d^6*p^25*q^2 - 61776*a^20*b^4*c^4*d^5*p^25*q + 51408*a^23*b*c^4*d^5*p^22*q^4 - 704916*a^21*b^6*c^5*d^4*p^24*q + 411156*a^26*b*c^5*d^4*p^19*q^6 - 3262923*a^22*b^8*c^6*d^3*p^23*q + 964467*a^29*b*c^6*d^3*p^16*q^8 - 5569560*a^23*b^10*c^7*d^2*p^22*q + 5786802*a^25*b^11*c^8*d*p^20*q^2 - 11298042*a^26*b^10*c^8*d*p^19*q^3 + 13778100*a^27*b^9*c^8*d*p^18*q^4 - 10746918*a^28*b^8*c^8*d*p^17*q^5 + 5235678*a^29*b^7*c^8*d*p^16*q^6 - 1456542*a^30*b^6*c^8*d*p^15*q^7 + 177147*a^31*b^5*c^8*d*p^14*q^8)))*root(59049*a^2*b*c^6*d^6*h^9*p*q^2 - 59049*a*b^2*c^6*d^6*h^9*p^2*q + 19683*b^3*c^6*d^6*h^9*p^3 - 19683*a^3*c^6*d^6*h^9*q^3 + 4374*a^2*b^4*c^5*d^4*h^6*p*q + 4374*a^2*b*c^4*d^5*h^6*p*q^2 - 4374*a*b^2*c^4*d^5*h^6*p^2*q - 2187*a^3*b^3*c^5*d^4*h^6*q^2 - 2187*a*b^5*c^5*d^4*h^6*p^2 - 2187*a^3*c^4*d^5*h^6*q^3 + 1458*b^3*c^4*d^5*h^6*p^3 - 567*a^2*b^4*c^3*d^3*h^3*p*q + 81*a^2*b*c^2*d^4*h^3*p*q^2 - 81*a*b^2*c^2*d^4*h^3*p^2*q + 567*a^3*b^3*c^3*d^3*h^3*q^2 - 81*a^3*b^6*c^4*d^2*h^3*q + 162*a*b^5*c^3*d^3*h^3*p^2 + 81*a^2*b^7*c^4*d^2*h^3*p - 81*a^3*c^2*d^4*h^3*q^3 + 27*b^3*c^2*d^4*h^3*p^3 - 3*a^3*b^3*c*d^2*q^2 - 3*a^3*b^6*c^2*d*q - a^3*d^3*q^3 - a^3*b^9*c^3, h, k), k, 1, 9) + symsum(log(-root(59049*a^2*b*c^3*d^6*h^9*p*q^2 - 59049*a*b^2*c^3*d^6*h^9*p^2*q + 19683*b^3*c^3*d^6*h^9*p^3 - 19683*a^3*c^3*d^6*h^9*q^3 - 4374*a^2*b^4*c^2*d^4*h^6*p*q + 2187*a^3*b^3*c^2*d^4*h^6*q^2 + 2187*a*b^5*c^2*d^4*h^6*p^2 + 729*b^3*c*d^5*h^6*p^3 - 81*a^3*b^6*c*d^2*h^3*q + 81*a^2*b^7*c*d^2*h^3*p + a^3*b^9, h, k)*((q + p*x^3)^(1/3)*(19683*a^24*b^14*c^8*p^21 + 192*a^21*b^8*c^5*d^3*p^24 + 3024*a^22*b^10*c^6*d^2*p^23 + 413343*a^26*b^12*c^8*p^19*q^2 - 688905*a^27*b^11*c^8*p^18*q^3 + 688905*a^28*b^10*c^8*p^17*q^4 - 413343*a^29*b^9*c^8*p^16*q^5 + 137781*a^30*b^8*c^8*p^15*q^6 - 19683*a^31*b^7*c^8*p^14*q^7 + 14580*a^23*b^12*c^7*d*p^22 - 137781*a^25*b^13*c^8*p^20*q + 9072*a^24*b^8*c^6*d^2*p^21*q^2 - 3024*a^25*b^7*c^6*d^2*p^20*q^3 - 72900*a^24*b^11*c^7*d*p^21*q - 192*a^22*b^7*c^5*d^3*p^23*q - 9072*a^23*b^9*c^6*d^2*p^22*q + 145800*a^25*b^10*c^7*d*p^20*q^2 - 145800*a^26*b^9*c^7*d*p^19*q^3 + 72900*a^27*b^8*c^7*d*p^18*q^4 - 14580*a^28*b^7*c^7*d*p^17*q^5) + root(59049*a^2*b*c^3*d^6*h^9*p*q^2 - 59049*a*b^2*c^3*d^6*h^9*p^2*q + 19683*b^3*c^3*d^6*h^9*p^3 - 19683*a^3*c^3*d^6*h^9*q^3 - 4374*a^2*b^4*c^2*d^4*h^6*p*q + 2187*a^3*b^3*c^2*d^4*h^6*q^2 + 2187*a*b^5*c^2*d^4*h^6*p^2 + 729*b^3*c*d^5*h^6*p^3 - 81*a^3*b^6*c*d^2*h^3*q + 81*a^2*b^7*c*d^2*h^3*p + a^3*b^9, h, k)*(root(59049*a^2*b*c^3*d^6*h^9*p*q^2 - 59049*a*b^2*c^3*d^6*h^9*p^2*q + 19683*b^3*c^3*d^6*h^9*p^3 - 19683*a^3*c^3*d^6*h^9*q^3 - 4374*a^2*b^4*c^2*d^4*h^6*p*q + 2187*a^3*b^3*c^2*d^4*h^6*q^2 + 2187*a*b^5*c^2*d^4*h^6*p^2 + 729*b^3*c*d^5*h^6*p^3 - 81*a^3*b^6*c*d^2*h^3*q + 81*a^2*b^7*c*d^2*h^3*p + a^3*b^9, h, k)^2*((q + p*x^3)^(1/3)*(15552*a^20*b^6*c^6*d^5*p^25 + 233280*a^21*b^8*c^7*d^4*p^24 + 1023516*a^22*b^10*c^8*d^3*p^23 + 1062882*a^23*b^12*c^9*d^2*p^22 + 15552*a^22*b^4*c^6*d^5*p^23*q^2 + 1399680*a^23*b^6*c^7*d^4*p^22*q^2 - 933120*a^24*b^5*c^7*d^4*p^21*q^3 + 233280*a^25*b^4*c^7*d^4*p^20*q^4 + 15352740*a^24*b^8*c^8*d^3*p^21*q^2 - 20470320*a^25*b^7*c^8*d^3*p^20*q^3 + 15352740*a^26*b^6*c^8*d^3*p^19*q^4 - 6141096*a^27*b^5*c^8*d^3*p^18*q^5 + 1023516*a^28*b^4*c^8*d^3*p^17*q^6 + 29760696*a^25*b^10*c^9*d^2*p^20*q^2 - 59521392*a^26*b^9*c^9*d^2*p^19*q^3 + 74401740*a^27*b^8*c^9*d^2*p^18*q^4 - 59521392*a^28*b^7*c^9*d^2*p^17*q^5 + 29760696*a^29*b^6*c^9*d^2*p^16*q^6 - 8503056*a^30*b^5*c^9*d^2*p^15*q^7 + 1062882*a^31*b^4*c^9*d^2*p^14*q^8 - 31104*a^21*b^5*c^6*d^5*p^24*q - 933120*a^22*b^7*c^7*d^4*p^23*q - 6141096*a^23*b^9*c^8*d^3*p^22*q - 8503056*a^24*b^11*c^9*d^2*p^21*q) - root(59049*a^2*b*c^3*d^6*h^9*p*q^2 - 59049*a*b^2*c^3*d^6*h^9*p^2*q + 19683*b^3*c^3*d^6*h^9*p^3 - 19683*a^3*c^3*d^6*h^9*q^3 - 4374*a^2*b^4*c^2*d^4*h^6*p*q + 2187*a^3*b^3*c^2*d^4*h^6*q^2 + 2187*a*b^5*c^2*d^4*h^6*p^2 + 729*b^3*c*d^5*h^6*p^3 - 81*a^3*b^6*c*d^2*h^3*q + 81*a^2*b^7*c*d^2*h^3*p + a^3*b^9, h, k)*(root(59049*a^2*b*c^3*d^6*h^9*p*q^2 - 59049*a*b^2*c^3*d^6*h^9*p^2*q + 19683*b^3*c^3*d^6*h^9*p^3 - 19683*a^3*c^3*d^6*h^9*q^3 - 4374*a^2*b^4*c^2*d^4*h^6*p*q + 2187*a^3*b^3*c^2*d^4*h^6*q^2 + 2187*a*b^5*c^2*d^4*h^6*p^2 + 729*b^3*c*d^5*h^6*p^3 - 81*a^3*b^6*c*d^2*h^3*q + 81*a^2*b^7*c*d^2*h^3*p + a^3*b^9, h, k)^2*(root(59049*a^2*b*c^3*d^6*h^9*p*q^2 - 59049*a*b^2*c^3*d^6*h^9*p^2*q + 19683*b^3*c^3*d^6*h^9*p^3 - 19683*a^3*c^3*d^6*h^9*q^3 - 4374*a^2*b^4*c^2*d^4*h^6*p*q + 2187*a^3*b^3*c^2*d^4*h^6*q^2 + 2187*a*b^5*c^2*d^4*h^6*p^2 + 729*b^3*c*d^5*h^6*p^3 - 81*a^3*b^6*c*d^2*h^3*q + 81*a^2*b^7*c*d^2*h^3*p + a^3*b^9, h, k)*(419904*a^18*b^3*c^7*d^8*p^27 + 7243344*a^19*b^5*c^8*d^7*p^26 + 40389516*a^20*b^7*c^9*d^6*p^25 + 71744535*a^21*b^9*c^10*d^5*p^24 - 419904*a^21*c^7*d^8*p^24*q^3 - 7243344*a^24*c^8*d^7*p^21*q^5 - 40389516*a^27*c^9*d^6*p^18*q^7 - 71744535*a^30*c^10*d^5*p^15*q^9 + 72433440*a^21*b^3*c^8*d^7*p^24*q^2 - 72433440*a^22*b^2*c^8*d^7*p^23*q^3 + 848179836*a^22*b^5*c^9*d^6*p^23*q^2 - 1413633060*a^23*b^4*c^9*d^6*p^22*q^3 + 1413633060*a^24*b^3*c^9*d^6*p^21*q^4 - 848179836*a^25*b^2*c^9*d^6*p^20*q^5 + 2582803260*a^23*b^7*c^10*d^5*p^22*q^2 - 6026540940*a^24*b^6*c^10*d^5*p^21*q^3 + 9039811410*a^25*b^5*c^10*d^5*p^20*q^4 - 9039811410*a^26*b^4*c^10*d^5*p^19*q^5 + 6026540940*a^27*b^3*c^10*d^5*p^18*q^6 - 2582803260*a^28*b^2*c^10*d^5*p^17*q^7 - 1259712*a^19*b^2*c^7*d^8*p^26*q + 1259712*a^20*b*c^7*d^8*p^25*q^2 - 36216720*a^20*b^4*c^8*d^7*p^25*q + 36216720*a^23*b*c^8*d^7*p^22*q^4 - 282726612*a^21*b^6*c^9*d^6*p^24*q + 282726612*a^26*b*c^9*d^6*p^19*q^6 - 645700815*a^22*b^8*c^10*d^5*p^23*q + 645700815*a^29*b*c^10*d^5*p^16*q^8) - (q + p*x^3)^(1/3)*(139968*a^18*b^2*c^6*d^8*p^27 + 2694384*a^19*b^4*c^7*d^7*p^26 + 17557236*a^20*b^6*c^8*d^6*p^25 + 40920957*a^21*b^8*c^9*d^5*p^24 + 14348907*a^22*b^10*c^10*d^4*p^23 + 8083152*a^21*b^2*c^7*d^7*p^24*q^2 + 175572360*a^22*b^4*c^8*d^6*p^23*q^2 - 175572360*a^23*b^3*c^8*d^6*p^22*q^3 + 87786180*a^24*b^2*c^8*d^6*p^21*q^4 + 859340097*a^23*b^6*c^9*d^5*p^22*q^2 - 1432233495*a^24*b^5*c^9*d^5*p^21*q^3 + 1432233495*a^25*b^4*c^9*d^5*p^20*q^4 - 859340097*a^26*b^3*c^9*d^5*p^19*q^5 + 286446699*a^27*b^2*c^9*d^5*p^18*q^6 + 516560652*a^24*b^8*c^10*d^4*p^21*q^2 - 1205308188*a^25*b^7*c^10*d^4*p^20*q^3 + 1807962282*a^26*b^6*c^10*d^4*p^19*q^4 - 1807962282*a^27*b^5*c^10*d^4*p^18*q^5 + 1205308188*a^28*b^4*c^10*d^4*p^17*q^6 - 516560652*a^29*b^3*c^10*d^4*p^16*q^7 + 129140163*a^30*b^2*c^10*d^4*p^15*q^8 - 139968*a^19*b*c^6*d^8*p^26*q - 8083152*a^20*b^3*c^7*d^7*p^25*q - 2694384*a^22*b*c^7*d^7*p^23*q^3 - 87786180*a^21*b^5*c^8*d^6*p^24*q - 17557236*a^25*b*c^8*d^6*p^20*q^5 - 286446699*a^22*b^7*c^9*d^5*p^23*q - 40920957*a^28*b*c^9*d^5*p^17*q^7 - 129140163*a^23*b^9*c^10*d^4*p^22*q - 14348907*a^31*b*c^10*d^4*p^14*q^9)) + 81648*a^20*b^7*c^7*d^5*p^25 + 1102248*a^21*b^9*c^8*d^4*p^24 + 3720087*a^22*b^11*c^9*d^3*p^23 + 489888*a^22*b^5*c^7*d^5*p^23*q^2 - 326592*a^23*b^4*c^7*d^5*p^22*q^3 + 81648*a^24*b^3*c^7*d^5*p^21*q^4 + 16533720*a^23*b^7*c^8*d^4*p^22*q^2 - 22044960*a^24*b^6*c^8*d^4*p^21*q^3 + 16533720*a^25*b^5*c^8*d^4*p^20*q^4 - 6613488*a^26*b^4*c^8*d^4*p^19*q^5 + 1102248*a^27*b^3*c^8*d^4*p^18*q^6 + 104162436*a^24*b^9*c^9*d^3*p^21*q^2 - 208324872*a^25*b^8*c^9*d^3*p^20*q^3 + 260406090*a^26*b^7*c^9*d^3*p^19*q^4 - 208324872*a^27*b^6*c^9*d^3*p^18*q^5 + 104162436*a^28*b^5*c^9*d^3*p^17*q^6 - 29760696*a^29*b^4*c^9*d^3*p^16*q^7 + 3720087*a^30*b^3*c^9*d^3*p^15*q^8 - 326592*a^21*b^6*c^7*d^5*p^24*q - 6613488*a^22*b^8*c^8*d^4*p^23*q - 29760696*a^23*b^10*c^9*d^3*p^22*q)) - 864*a^21*b^9*c^6*d^3*p^24 - 11664*a^22*b^11*c^7*d^2*p^23 - 39366*a^23*b^13*c^8*d*p^22 - 2592*a^23*b^7*c^6*d^3*p^22*q^2 + 864*a^24*b^6*c^6*d^3*p^21*q^3 - 116640*a^24*b^9*c^7*d^2*p^21*q^2 + 116640*a^25*b^8*c^7*d^2*p^20*q^3 - 58320*a^26*b^7*c^7*d^2*p^19*q^4 + 11664*a^27*b^6*c^7*d^2*p^18*q^5 + 275562*a^24*b^12*c^8*d*p^21*q + 2592*a^22*b^8*c^6*d^3*p^23*q + 58320*a^23*b^10*c^7*d^2*p^22*q - 826686*a^25*b^11*c^8*d*p^20*q^2 + 1377810*a^26*b^10*c^8*d*p^19*q^3 - 1377810*a^27*b^9*c^8*d*p^18*q^4 + 826686*a^28*b^8*c^8*d*p^17*q^5 - 275562*a^29*b^7*c^8*d*p^16*q^6 + 39366*a^30*b^6*c^8*d*p^15*q^7)))*root(59049*a^2*b*c^3*d^6*h^9*p*q^2 - 59049*a*b^2*c^3*d^6*h^9*p^2*q + 19683*b^3*c^3*d^6*h^9*p^3 - 19683*a^3*c^3*d^6*h^9*q^3 - 4374*a^2*b^4*c^2*d^4*h^6*p*q + 2187*a^3*b^3*c^2*d^4*h^6*q^2 + 2187*a*b^5*c^2*d^4*h^6*p^2 + 729*b^3*c*d^5*h^6*p^3 - 81*a^3*b^6*c*d^2*h^3*q + 81*a^2*b^7*c*d^2*h^3*p + a^3*b^9, h, k), k, 1, 9)","B"
2968,0,-1,369,0.000000,"\text{Not used}","int((a*b + a*c - 2*b*c + x*(b - 2*a + c))/((-(a - x)*(b - x)*(c - x))^(1/3)*(x*(b*d - 2*a + c*d) + a^2 - x^2*(d - 1) - b*c*d)),x)","\int \frac{a\,b+a\,c-2\,b\,c+x\,\left(b-2\,a+c\right)}{{\left(-\left(a-x\right)\,\left(b-x\right)\,\left(c-x\right)\right)}^{1/3}\,\left(x\,\left(b\,d-2\,a+c\,d\right)+a^2-x^2\,\left(d-1\right)-b\,c\,d\right)} \,d x","Not used",1,"int((a*b + a*c - 2*b*c + x*(b - 2*a + c))/((-(a - x)*(b - x)*(c - x))^(1/3)*(x*(b*d - 2*a + c*d) + a^2 - x^2*(d - 1) - b*c*d)), x)","F"
2969,0,-1,370,0.000000,"\text{Not used}","int(((x - 2)*(x^2 - x + 1))/(x^3*((2*x^2 - x + 1)/(3*x^2 - x + 1))^(1/3)*(x + x^2 - 1)),x)","\int \frac{\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)}^{1/3}\,\left(x^2+x-1\right)} \,d x","Not used",1,"int(((x - 2)*(x^2 - x + 1))/(x^3*((2*x^2 - x + 1)/(3*x^2 - x + 1))^(1/3)*(x + x^2 - 1)), x)","F"
2970,0,-1,371,0.000000,"\text{Not used}","int((x^3*(5*b + 9*a*x^4))/((b*x + a*x^5)^(1/4)*(a*x^9 + b*x^5 + 1)),x)","\int \frac{x^3\,\left(9\,a\,x^4+5\,b\right)}{{\left(a\,x^5+b\,x\right)}^{1/4}\,\left(a\,x^9+b\,x^5+1\right)} \,d x","Not used",1,"int((x^3*(5*b + 9*a*x^4))/((b*x + a*x^5)^(1/4)*(a*x^9 + b*x^5 + 1)), x)","F"
2971,0,-1,375,0.000000,"\text{Not used}","int(-(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^2 + 1)^(1/2)*(x^4 + 1))/(x^4 - 1),x)","\int -\frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}\,\sqrt{x^2+1}\,\left(x^4+1\right)}{x^4-1} \,d x","Not used",1,"int(-(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^2 + 1)^(1/2)*(x^4 + 1))/(x^4 - 1), x)","F"
2972,0,-1,375,0.000000,"\text{Not used}","int(-(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^2 + 1)^(1/2)*(x^4 + 1))/(x^4 - 1),x)","\int -\frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}\,\sqrt{x^2+1}\,\left(x^4+1\right)}{x^4-1} \,d x","Not used",1,"int(-(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^2 + 1)^(1/2)*(x^4 + 1))/(x^4 - 1), x)","F"
2973,0,-1,376,0.000000,"\text{Not used}","int(-(b^12 + a^12*x^12)/((a^4*x^4 - b^4)^(1/2)*(b^12 - a^12*x^12)),x)","\int -\frac{a^{12}\,x^{12}+b^{12}}{\sqrt{a^4\,x^4-b^4}\,\left(b^{12}-a^{12}\,x^{12}\right)} \,d x","Not used",1,"int(-(b^12 + a^12*x^12)/((a^4*x^4 - b^4)^(1/2)*(b^12 - a^12*x^12)), x)","F"
2974,0,-1,376,0.000000,"\text{Not used}","int(((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)/((d + c*x^4)*(b + a^2*x^4)^(1/2)),x)","\int \frac{\sqrt{\sqrt{a^2\,x^4+b}+a\,x^2}}{\left(c\,x^4+d\right)\,\sqrt{a^2\,x^4+b}} \,d x","Not used",1,"int(((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)/((d + c*x^4)*(b + a^2*x^4)^(1/2)), x)","F"
2975,0,-1,376,0.000000,"\text{Not used}","int(((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)/((d + c*x^4)*(b + a^2*x^4)^(1/2)),x)","\int \frac{\sqrt{\sqrt{a^2\,x^4+b}+a\,x^2}}{\left(c\,x^4+d\right)\,\sqrt{a^2\,x^4+b}} \,d x","Not used",1,"int(((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)/((d + c*x^4)*(b + a^2*x^4)^(1/2)), x)","F"
2976,0,-1,380,0.000000,"\text{Not used}","int(x/(x - (c + (b + a*x)^(1/2))^(1/2)*(b + a*x)^(1/2)),x)","\int \frac{x}{x-\sqrt{c+\sqrt{b+a\,x}}\,\sqrt{b+a\,x}} \,d x","Not used",1,"int(x/(x - (c + (b + a*x)^(1/2))^(1/2)*(b + a*x)^(1/2)), x)","F"
2977,0,-1,380,0.000000,"\text{Not used}","int(x/(x - (c + (b + a*x)^(1/2))^(1/2)*(b + a*x)^(1/2)),x)","\int \frac{x}{x-\sqrt{c+\sqrt{b+a\,x}}\,\sqrt{b+a\,x}} \,d x","Not used",1,"int(x/(x - (c + (b + a*x)^(1/2))^(1/2)*(b + a*x)^(1/2)), x)","F"
2978,0,-1,383,0.000000,"\text{Not used}","int(((2*x - x^2*(k + 1))*(x^2*(a + k) - x*(k + 1) + 1))/((x*(k*x - 1)*(x - 1))^(2/3)*(x^4*(b - k^2) - x^2*(4*k + k^2 + 1) + 2*x*(k + 1) + 2*x^3*(k + k^2) - 1)),x)","\int \frac{\left(2\,x-x^2\,\left(k+1\right)\right)\,\left(\left(a+k\right)\,x^2+\left(-k-1\right)\,x+1\right)}{{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{2/3}\,\left(x^4\,\left(b-k^2\right)-x^2\,\left(k^2+4\,k+1\right)+2\,x\,\left(k+1\right)+2\,x^3\,\left(k^2+k\right)-1\right)} \,d x","Not used",1,"int(((2*x - x^2*(k + 1))*(x^2*(a + k) - x*(k + 1) + 1))/((x*(k*x - 1)*(x - 1))^(2/3)*(x^4*(b - k^2) - x^2*(4*k + k^2 + 1) + 2*x*(k + 1) + 2*x^3*(k + k^2) - 1)), x)","F"
2979,0,-1,383,0.000000,"\text{Not used}","int(-((x*(k + 1) - 2)*(x^2*(a + k) - x*(k + 1) + 1))/((x*(k*x - 1)*(x - 1))^(1/3)*(x*(2*k + 2) + x^4*(b - k^2) - x^2*(4*k + k^2 + 1) + 2*x^3*(k + k^2) - 1)),x)","\int -\frac{\left(x\,\left(k+1\right)-2\right)\,\left(\left(a+k\right)\,x^2+\left(-k-1\right)\,x+1\right)}{{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{1/3}\,\left(x\,\left(2\,k+2\right)+x^4\,\left(b-k^2\right)-x^2\,\left(k^2+4\,k+1\right)+2\,x^3\,\left(k^2+k\right)-1\right)} \,d x","Not used",1,"int(-((x*(k + 1) - 2)*(x^2*(a + k) - x*(k + 1) + 1))/((x*(k*x - 1)*(x - 1))^(1/3)*(x*(2*k + 2) + x^4*(b - k^2) - x^2*(4*k + k^2 + 1) + 2*x^3*(k + k^2) - 1)), x)","F"
2980,0,-1,383,0.000000,"\text{Not used}","int(1/((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)*(a^2*x^2 - b)^(1/2)),x)","\int \frac{1}{\sqrt{a\,x+\sqrt{a^2\,x^2-b}}\,{\left(c+{\left(a\,x+\sqrt{a^2\,x^2-b}\right)}^{1/4}\right)}^{1/6}\,\sqrt{a^2\,x^2-b}} \,d x","Not used",1,"int(1/((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)*(a^2*x^2 - b)^(1/2)), x)","F"
2981,0,-1,383,0.000000,"\text{Not used}","int(x/((a*x + (a^2*x^2 - b)^(1/2))^(1/2) + 1)^(1/2),x)","\int \frac{x}{\sqrt{\sqrt{a\,x+\sqrt{a^2\,x^2-b}}+1}} \,d x","Not used",1,"int(x/((a*x + (a^2*x^2 - b)^(1/2))^(1/2) + 1)^(1/2), x)","F"
2982,0,-1,384,0.000000,"\text{Not used}","int(((a*x + (a^2*x^2 - b)^(1/2))^(5/4)*(d + c*x^2))/(a^2*x^2 - b)^(3/2),x)","\int \frac{{\left(a\,x+\sqrt{a^2\,x^2-b}\right)}^{5/4}\,\left(c\,x^2+d\right)}{{\left(a^2\,x^2-b\right)}^{3/2}} \,d x","Not used",1,"int(((a*x + (a^2*x^2 - b)^(1/2))^(5/4)*(d + c*x^2))/(a^2*x^2 - b)^(3/2), x)","F"
2983,0,-1,385,0.000000,"\text{Not used}","int(((x^3 - x)^(1/3)*(b - a*x^2))/(d - c*x^2),x)","\int \frac{{\left(x^3-x\right)}^{1/3}\,\left(b-a\,x^2\right)}{d-c\,x^2} \,d x","Not used",1,"int(((x^3 - x)^(1/3)*(b - a*x^2))/(d - c*x^2), x)","F"
2984,0,-1,387,0.000000,"\text{Not used}","int(-((a*b - x*(2*a - b))*(a^2 - 2*a*x + x^2))/((x*(a - x)*(b - x))^(1/3)*(2*x^3*(b - 2*a*d) + x^2*(6*a^2*d - b^2) + a^4*d + x^4*(d - 1) - 4*a^3*d*x)),x)","-\int \frac{\left(a\,b-x\,\left(2\,a-b\right)\right)\,\left(a^2-2\,a\,x+x^2\right)}{{\left(x\,\left(a-x\right)\,\left(b-x\right)\right)}^{1/3}\,\left(2\,x^3\,\left(b-2\,a\,d\right)+x^2\,\left(6\,a^2\,d-b^2\right)+a^4\,d+x^4\,\left(d-1\right)-4\,a^3\,d\,x\right)} \,d x","Not used",1,"-int(((a*b - x*(2*a - b))*(a^2 - 2*a*x + x^2))/((x*(a - x)*(b - x))^(1/3)*(2*x^3*(b - 2*a*d) + x^2*(6*a^2*d - b^2) + a^4*d + x^4*(d - 1) - 4*a^3*d*x)), x)","F"
2985,1,532,388,4.222474,"\text{Not used}","int((b + d*x)/(x^4*((b + a*x)/(d + c*x))^(1/4)),x)","\frac{\mathrm{atanh}\left(\frac{d^{1/4}\,{\left(\frac{b+a\,x}{d+c\,x}\right)}^{1/4}}{b^{1/4}}\right)\,\left(a\,d-b\,c\right)\,\left(15\,a^2\,d^2+10\,a\,b\,c\,d-20\,a\,d^3+7\,b^2\,c^2-12\,b\,c\,d^2\right)}{64\,b^{9/4}\,d^{11/4}}-\frac{\mathrm{atan}\left(\frac{d^{1/4}\,{\left(\frac{b+a\,x}{d+c\,x}\right)}^{1/4}}{b^{1/4}}\right)\,\left(a\,d-b\,c\right)\,\left(15\,a^2\,d^2+10\,a\,b\,c\,d-20\,a\,d^3+7\,b^2\,c^2-12\,b\,c\,d^2\right)}{64\,b^{9/4}\,d^{11/4}}-\frac{\frac{c^2\,{\left(\frac{b+a\,x}{d+c\,x}\right)}^{7/4}\,\left(\frac{21\,a^3\,c\,d^3}{16}-\frac{7\,a^2\,b\,c^2\,d^2}{16}-\frac{7\,a^2\,c\,d^4}{4}-\frac{17\,a\,b^2\,c^3\,d}{16}+\frac{3\,a\,b\,c^2\,d^3}{2}+\frac{3\,b^3\,c^4}{16}+\frac{b^2\,c^3\,d^2}{4}\right)}{a^3\,b\,d^4}-\frac{c\,{\left(\frac{b+a\,x}{d+c\,x}\right)}^{3/4}\,\left(\frac{113\,a^3\,c^2\,d^3}{96}-\frac{41\,a^2\,b\,c^3\,d^2}{32}-\frac{9\,a^2\,c^2\,d^4}{8}+\frac{a\,b^2\,c^4\,d}{32}+\frac{5\,a\,b\,c^3\,d^3}{4}+\frac{7\,b^3\,c^5}{96}-\frac{b^2\,c^4\,d^2}{8}\right)}{a^3\,d^5}+\frac{c^3\,{\left(\frac{b+a\,x}{d+c\,x}\right)}^{11/4}\,\left(-\frac{15\,a^3\,d^3}{32}+\frac{5\,a^2\,b\,c\,d^2}{32}+\frac{5\,a^2\,d^4}{8}+\frac{3\,a\,b^2\,c^2\,d}{32}-\frac{a\,b\,c\,d^3}{4}+\frac{7\,b^3\,c^3}{32}-\frac{3\,b^2\,c^2\,d^2}{8}\right)}{a^3\,b^2\,d^3}}{\frac{b^3\,c^3}{a^3\,d^3}-\frac{c^3\,{\left(b+a\,x\right)}^3}{a^3\,{\left(d+c\,x\right)}^3}+\frac{3\,b\,c^3\,{\left(b+a\,x\right)}^2}{a^3\,d\,{\left(d+c\,x\right)}^2}-\frac{3\,b^2\,c^3\,\left(b+a\,x\right)}{a^3\,d^2\,\left(d+c\,x\right)}}","Not used",1,"(atanh((d^(1/4)*((b + a*x)/(d + c*x))^(1/4))/b^(1/4))*(a*d - b*c)*(15*a^2*d^2 - 20*a*d^3 + 7*b^2*c^2 - 12*b*c*d^2 + 10*a*b*c*d))/(64*b^(9/4)*d^(11/4)) - (atan((d^(1/4)*((b + a*x)/(d + c*x))^(1/4))/b^(1/4))*(a*d - b*c)*(15*a^2*d^2 - 20*a*d^3 + 7*b^2*c^2 - 12*b*c*d^2 + 10*a*b*c*d))/(64*b^(9/4)*d^(11/4)) - ((c^2*((b + a*x)/(d + c*x))^(7/4)*((3*b^3*c^4)/16 - (7*a^2*c*d^4)/4 + (21*a^3*c*d^3)/16 + (b^2*c^3*d^2)/4 - (7*a^2*b*c^2*d^2)/16 + (3*a*b*c^2*d^3)/2 - (17*a*b^2*c^3*d)/16))/(a^3*b*d^4) - (c*((b + a*x)/(d + c*x))^(3/4)*((7*b^3*c^5)/96 - (9*a^2*c^2*d^4)/8 + (113*a^3*c^2*d^3)/96 - (b^2*c^4*d^2)/8 - (41*a^2*b*c^3*d^2)/32 + (5*a*b*c^3*d^3)/4 + (a*b^2*c^4*d)/32))/(a^3*d^5) + (c^3*((b + a*x)/(d + c*x))^(11/4)*((5*a^2*d^4)/8 - (15*a^3*d^3)/32 + (7*b^3*c^3)/32 - (3*b^2*c^2*d^2)/8 - (a*b*c*d^3)/4 + (3*a*b^2*c^2*d)/32 + (5*a^2*b*c*d^2)/32))/(a^3*b^2*d^3))/((b^3*c^3)/(a^3*d^3) - (c^3*(b + a*x)^3)/(a^3*(d + c*x)^3) + (3*b*c^3*(b + a*x)^2)/(a^3*d*(d + c*x)^2) - (3*b^2*c^3*(b + a*x))/(a^3*d^2*(d + c*x)))","B"
2986,0,-1,388,0.000000,"\text{Not used}","int((f + e*x)/(d + c*x + (a*x + (b^2 + a^2*x^2)^(1/2))^(1/2)),x)","\int \frac{f+e\,x}{d+c\,x+\sqrt{a\,x+\sqrt{a^2\,x^2+b^2}}} \,d x","Not used",1,"int((f + e*x)/(d + c*x + (a*x + (b^2 + a^2*x^2)^(1/2))^(1/2)), x)","F"
2987,0,-1,390,0.000000,"\text{Not used}","int(-(x^6 + 1)/((x^6 - 1)*(x^5 - x^3)^(1/4)),x)","\int -\frac{x^6+1}{\left(x^6-1\right)\,{\left(x^5-x^3\right)}^{1/4}} \,d x","Not used",1,"int(-(x^6 + 1)/((x^6 - 1)*(x^5 - x^3)^(1/4)), x)","F"
2988,0,-1,390,0.000000,"\text{Not used}","int(((a*x + (a^2*x^2 - b)^(1/2))^(1/2)*(d + c*x^4)*(a^2*x^2 - b)^(1/2))/x^2,x)","\int \frac{\sqrt{a\,x+\sqrt{a^2\,x^2-b}}\,\left(c\,x^4+d\right)\,\sqrt{a^2\,x^2-b}}{x^2} \,d x","Not used",1,"int(((a*x + (a^2*x^2 - b)^(1/2))^(1/2)*(d + c*x^4)*(a^2*x^2 - b)^(1/2))/x^2, x)","F"
2989,0,-1,392,0.000000,"\text{Not used}","int((((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^2 + 1)^(3/2))/(x^2 - 1)^2,x)","\int \frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}\,{\left(x^2+1\right)}^{3/2}}{{\left(x^2-1\right)}^2} \,d x","Not used",1,"int((((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^2 + 1)^(3/2))/(x^2 - 1)^2, x)","F"
2990,0,-1,392,0.000000,"\text{Not used}","int((((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^2 + 1)^(3/2))/(x^2 - 1)^2,x)","\int \frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}\,{\left(x^2+1\right)}^{3/2}}{{\left(x^2-1\right)}^2} \,d x","Not used",1,"int((((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^2 + 1)^(3/2))/(x^2 - 1)^2, x)","F"
2991,0,-1,392,0.000000,"\text{Not used}","int((((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^2 + 1)^(3/2))/(x^2 - 1)^2,x)","\int \frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}\,{\left(x^2+1\right)}^{3/2}}{{\left(x^2-1\right)}^2} \,d x","Not used",1,"int((((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^2 + 1)^(3/2))/(x^2 - 1)^2, x)","F"
2992,0,-1,394,0.000000,"\text{Not used}","int((((x^4 + 1)^(1/2) + x^2)^(1/2)*(x^2 + x^4 + 1))/((x^4 + 1)^(1/2)*(x^2 + x^4 - 1)),x)","\int \frac{\sqrt{\sqrt{x^4+1}+x^2}\,\left(x^4+x^2+1\right)}{\sqrt{x^4+1}\,\left(x^4+x^2-1\right)} \,d x","Not used",1,"int((((x^4 + 1)^(1/2) + x^2)^(1/2)*(x^2 + x^4 + 1))/((x^4 + 1)^(1/2)*(x^2 + x^4 - 1)), x)","F"
2993,0,-1,394,0.000000,"\text{Not used}","int((((x^4 + 1)^(1/2) + x^2)^(1/2)*(x^2 + x^4 + 1))/((x^4 + 1)^(1/2)*(x^2 + x^4 - 1)),x)","\int \frac{\sqrt{\sqrt{x^4+1}+x^2}\,\left(x^4+x^2+1\right)}{\sqrt{x^4+1}\,\left(x^4+x^2-1\right)} \,d x","Not used",1,"int((((x^4 + 1)^(1/2) + x^2)^(1/2)*(x^2 + x^4 + 1))/((x^4 + 1)^(1/2)*(x^2 + x^4 - 1)), x)","F"
2994,0,-1,397,0.000000,"\text{Not used}","int(((a*x + (a^2*x^2 - b)^(1/2))^(1/2)*(d + c*x^4)*(a^2*x^2 - b)^(1/2))/x,x)","\int \frac{\sqrt{a\,x+\sqrt{a^2\,x^2-b}}\,\left(c\,x^4+d\right)\,\sqrt{a^2\,x^2-b}}{x} \,d x","Not used",1,"int(((a*x + (a^2*x^2 - b)^(1/2))^(1/2)*(d + c*x^4)*(a^2*x^2 - b)^(1/2))/x, x)","F"
2995,0,-1,398,0.000000,"\text{Not used}","int(((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)/(d + c*x^2),x)","\int \frac{\sqrt{\sqrt{a^2\,x^4+b}+a\,x^2}}{c\,x^2+d} \,d x","Not used",1,"int(((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)/(d + c*x^2), x)","F"
2996,0,-1,398,0.000000,"\text{Not used}","int(((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)/(d + c*x^2),x)","\int \frac{\sqrt{\sqrt{a^2\,x^4+b}+a\,x^2}}{c\,x^2+d} \,d x","Not used",1,"int(((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)/(d + c*x^2), x)","F"
2997,0,-1,399,0.000000,"\text{Not used}","int((x^5*(7*b + 10*a*x^3))/((a*x^6 + b*x^3)^(1/4)*(a*x^10 + b*x^7 + 1)),x)","\int \frac{x^5\,\left(10\,a\,x^3+7\,b\right)}{{\left(a\,x^6+b\,x^3\right)}^{1/4}\,\left(a\,x^{10}+b\,x^7+1\right)} \,d x","Not used",1,"int((x^5*(7*b + 10*a*x^3))/((a*x^6 + b*x^3)^(1/4)*(a*x^10 + b*x^7 + 1)), x)","F"
2998,-1,-1,399,0.000000,"\text{Not used}","int(-(x^4*(q + p*x^3)^(1/2)*(2*q - p*x^3))/(a*(q + p*x^3)^4 + b*x^8),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
2999,0,-1,399,0.000000,"\text{Not used}","int((((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x + (x^2 + 1)^(1/2))^(1/2))/(x^2 + 1)^2,x)","\int \frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}\,\sqrt{x+\sqrt{x^2+1}}}{{\left(x^2+1\right)}^2} \,d x","Not used",1,"int((((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x + (x^2 + 1)^(1/2))^(1/2))/(x^2 + 1)^2, x)","F"
3000,0,-1,399,0.000000,"\text{Not used}","int((((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x + (x^2 + 1)^(1/2))^(1/2))/(x^2 + 1)^2,x)","\int \frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}\,\sqrt{x+\sqrt{x^2+1}}}{{\left(x^2+1\right)}^2} \,d x","Not used",1,"int((((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x + (x^2 + 1)^(1/2))^(1/2))/(x^2 + 1)^2, x)","F"
3001,0,-1,401,0.000000,"\text{Not used}","int((((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x + (x^2 + 1)^(1/2))^(1/2))/(x^2 - 1)^2,x)","\int \frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}\,\sqrt{x+\sqrt{x^2+1}}}{{\left(x^2-1\right)}^2} \,d x","Not used",1,"int((((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x + (x^2 + 1)^(1/2))^(1/2))/(x^2 - 1)^2, x)","F"
3002,0,-1,401,0.000000,"\text{Not used}","int((((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x + (x^2 + 1)^(1/2))^(1/2))/(x^2 - 1)^2,x)","\int \frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}\,\sqrt{x+\sqrt{x^2+1}}}{{\left(x^2-1\right)}^2} \,d x","Not used",1,"int((((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x + (x^2 + 1)^(1/2))^(1/2))/(x^2 - 1)^2, x)","F"
3003,0,-1,402,0.000000,"\text{Not used}","int(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)/((x^2 + 1)^2*(x + (x^2 + 1)^(1/2))^(1/2)),x)","\int \frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}}{{\left(x^2+1\right)}^2\,\sqrt{x+\sqrt{x^2+1}}} \,d x","Not used",1,"int(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)/((x^2 + 1)^2*(x + (x^2 + 1)^(1/2))^(1/2)), x)","F"
3004,0,-1,402,0.000000,"\text{Not used}","int(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)/((x^2 + 1)^2*(x + (x^2 + 1)^(1/2))^(1/2)),x)","\int \frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}}{{\left(x^2+1\right)}^2\,\sqrt{x+\sqrt{x^2+1}}} \,d x","Not used",1,"int(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)/((x^2 + 1)^2*(x + (x^2 + 1)^(1/2))^(1/2)), x)","F"
3005,0,-1,404,0.000000,"\text{Not used}","int(((x*(k - 2) + 1)*(k^2*x^2 - 2*k*x + 1))/((x*(k*x - 1)*(x - 1))^(1/3)*(b + x^4*(b*k^4 - 1) + x^2*(6*b*k^2 - 1) - x^3*(4*b*k^3 - 2) - 4*b*k*x)),x)","\int \frac{\left(x\,\left(k-2\right)+1\right)\,\left(k^2\,x^2-2\,k\,x+1\right)}{{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{1/3}\,\left(\left(b\,k^4-1\right)\,x^4+\left(2-4\,b\,k^3\right)\,x^3+\left(6\,b\,k^2-1\right)\,x^2-4\,b\,k\,x+b\right)} \,d x","Not used",1,"int(((x*(k - 2) + 1)*(k^2*x^2 - 2*k*x + 1))/((x*(k*x - 1)*(x - 1))^(1/3)*(b + x^4*(b*k^4 - 1) + x^2*(6*b*k^2 - 1) - x^3*(4*b*k^3 - 2) - 4*b*k*x)), x)","F"
3006,0,-1,404,0.000000,"\text{Not used}","int(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)/((x^2 - 1)^2*(x + (x^2 + 1)^(1/2))^(1/2)),x)","\int \frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}}{{\left(x^2-1\right)}^2\,\sqrt{x+\sqrt{x^2+1}}} \,d x","Not used",1,"int(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)/((x^2 - 1)^2*(x + (x^2 + 1)^(1/2))^(1/2)), x)","F"
3007,0,-1,404,0.000000,"\text{Not used}","int(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)/((x^2 - 1)^2*(x + (x^2 + 1)^(1/2))^(1/2)),x)","\int \frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}}{{\left(x^2-1\right)}^2\,\sqrt{x+\sqrt{x^2+1}}} \,d x","Not used",1,"int(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)/((x^2 - 1)^2*(x + (x^2 + 1)^(1/2))^(1/2)), x)","F"
3008,0,-1,405,0.000000,"\text{Not used}","int(((a^2 - 2*a*x + x^2)*(a - 2*b + x))/(((a - x)*(b - x))^(1/3)*(x^2*(6*a^2*d - 1) + 2*x*(b - 2*a^3*d) + a^4*d + d*x^4 - b^2 - 4*a*d*x^3)),x)","\int \frac{\left(a^2-2\,a\,x+x^2\right)\,\left(a-2\,b+x\right)}{{\left(\left(a-x\right)\,\left(b-x\right)\right)}^{1/3}\,\left(x^2\,\left(6\,a^2\,d-1\right)+2\,x\,\left(b-2\,a^3\,d\right)+a^4\,d+d\,x^4-b^2-4\,a\,d\,x^3\right)} \,d x","Not used",1,"int(((a^2 - 2*a*x + x^2)*(a - 2*b + x))/(((a - x)*(b - x))^(1/3)*(x^2*(6*a^2*d - 1) + 2*x*(b - 2*a^3*d) + a^4*d + d*x^4 - b^2 - 4*a*d*x^3)), x)","F"
3009,0,-1,406,0.000000,"\text{Not used}","int(-(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^4 + 1))/((x^4 - 1)*(x + (x^2 + 1)^(1/2))^(1/2)),x)","\int -\frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}\,\left(x^4+1\right)}{\left(x^4-1\right)\,\sqrt{x+\sqrt{x^2+1}}} \,d x","Not used",1,"int(-(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^4 + 1))/((x^4 - 1)*(x + (x^2 + 1)^(1/2))^(1/2)), x)","F"
3010,0,-1,406,0.000000,"\text{Not used}","int(-(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^4 + 1))/((x^4 - 1)*(x + (x^2 + 1)^(1/2))^(1/2)),x)","\int -\frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}\,\left(x^4+1\right)}{\left(x^4-1\right)\,\sqrt{x+\sqrt{x^2+1}}} \,d x","Not used",1,"int(-(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^4 + 1))/((x^4 - 1)*(x + (x^2 + 1)^(1/2))^(1/2)), x)","F"
3011,0,-1,407,0.000000,"\text{Not used}","int(((c + (b + a*x)^(1/2))^(1/2)*(b + a*x)^(1/2))/(x - (b + a*x)^(1/2)),x)","\int \frac{\sqrt{c+\sqrt{b+a\,x}}\,\sqrt{b+a\,x}}{x-\sqrt{b+a\,x}} \,d x","Not used",1,"int(((c + (b + a*x)^(1/2))^(1/2)*(b + a*x)^(1/2))/(x - (b + a*x)^(1/2)), x)","F"
3012,1,132915,411,44.070893,"\text{Not used}","int(-(x + 1)/((-(b*x - 1)/(c + x))^(1/4)*(a*x - 1)),x)","\ln\left(\left(\left(\frac{256\,a\,\left(a-b\right)\,{\left(b\,c+1\right)}^7\,\left(-64\,a^4\,b^4\,c+64\,a^4\,b^3+a^4\,b^2\,c^2+12\,a^4\,b^2\,c+48\,a^4\,b^2+2\,a^4\,b\,c+12\,a^4\,b+a^4-192\,a^3\,b^4\,c-128\,a^3\,b^4-2\,a^3\,b^3\,c^2-24\,a^3\,b^3\,c+96\,a^3\,b^3+8\,a^3\,b^2\,c+72\,a^3\,b^2+10\,a^3\,b+a^2\,b^4\,c^2-180\,a^2\,b^4\,c-336\,a^2\,b^4-22\,a^2\,b^3\,c+12\,a^2\,b^3+25\,a^2\,b^2-52\,a\,b^4\,c-288\,a\,b^4-20\,a\,b^3-80\,b^4\right)}{{\left(-b\right)}^{51/4}\,{\left(a\,c+1\right)}^9}+\frac{1024\,a^2\,\left(a-b\right)\,{\left(b\,c+1\right)}^6\,{\left(-\frac{b\,x-1}{c+x}\right)}^{1/4}\,{\left(\frac{\left(a\,c+1\right)\,{\left(a+1\right)}^4}{a^8\,\left(a-b\right)}\right)}^{1/4}\,\left(16\,a^4\,b^4\,c^2+a^4\,b^2\,c^2+8\,a^4\,b^2\,c+16\,a^4\,b^2+2\,a^4\,b\,c+8\,a^4\,b+a^4+32\,a^3\,b^4\,c^2+32\,a^3\,b^4\,c-2\,a^3\,b^3\,c^2-16\,a^3\,b^3\,c-32\,a^3\,b^3+4\,a^3\,b^2\,c+16\,a^3\,b^2+6\,a^3\,b+17\,a^2\,b^4\,c^2+72\,a^2\,b^4\,c+32\,a^2\,b^4-14\,a^2\,b^3\,c-56\,a^2\,b^3+a^2\,b^2+40\,a\,b^4\,c+64\,a\,b^4-24\,a\,b^3+32\,b^4\right)}{{\left(-b\right)}^{47/4}\,{\left(a\,c+1\right)}^9}\right)\,{\left(\frac{\left(a\,c+1\right)\,{\left(a+1\right)}^4}{a^8\,\left(a-b\right)}\right)}^{3/4}-\frac{64\,\left(a-b\right)\,{\left(b\,c+1\right)}^6\,{\left(-\frac{b\,x-1}{c+x}\right)}^{1/4}\,{\left(a+1\right)}^2\,{\left(a+4\,b+4\,a\,b+a\,b\,c\right)}^2\,\left(a^3\,b^2\,c^3+8\,a^3\,b^2\,c^2+16\,a^3\,b^2\,c+2\,a^3\,b\,c^2+8\,a^3\,b\,c-16\,a^3\,b+a^3\,c+9\,a^2\,b^2\,c^2+40\,a^2\,b^2\,c+32\,a^2\,b^2+10\,a^2\,b\,c-24\,a^2\,b+a^2+24\,a\,b^2\,c+64\,a\,b^2-8\,a\,b+32\,b^2\right)}{a^6\,{\left(-b\right)}^{51/4}\,{\left(a\,c+1\right)}^8}\right)\,{\left(\frac{\left(a\,c+1\right)\,{\left(a+1\right)}^4}{a^8\,\left(a-b\right)}\right)}^{1/4}-\frac{64\,\left(a-b\right)\,{\left(b\,c+1\right)}^7\,{\left(a+1\right)}^3\,\left(4\,a+a\,c+5\right)\,{\left(a+4\,b+4\,a\,b+a\,b\,c\right)}^3}{a^7\,{\left(-b\right)}^{51/4}\,{\left(a\,c+1\right)}^8}\right)\,{\left(-\frac{a^2\,\left(4\,b^3\,c+6\,b^3\right)+a^3\,\left(6\,b^3\,c+4\,b^3\right)+b^3+a\,\left(b^3\,c+4\,b^3\right)+a^4\,\left(4\,b^3\,c+b^3\right)+a^5\,b^3\,c}{a^8\,b^4-a^9\,b^3}\right)}^{1/4}-\ln\left(\left(\left(\frac{256\,a\,\left(a-b\right)\,{\left(b\,c+1\right)}^7\,\left(-64\,a^4\,b^4\,c+64\,a^4\,b^3+a^4\,b^2\,c^2+12\,a^4\,b^2\,c+48\,a^4\,b^2+2\,a^4\,b\,c+12\,a^4\,b+a^4-192\,a^3\,b^4\,c-128\,a^3\,b^4-2\,a^3\,b^3\,c^2-24\,a^3\,b^3\,c+96\,a^3\,b^3+8\,a^3\,b^2\,c+72\,a^3\,b^2+10\,a^3\,b+a^2\,b^4\,c^2-180\,a^2\,b^4\,c-336\,a^2\,b^4-22\,a^2\,b^3\,c+12\,a^2\,b^3+25\,a^2\,b^2-52\,a\,b^4\,c-288\,a\,b^4-20\,a\,b^3-80\,b^4\right)}{{\left(-b\right)}^{51/4}\,{\left(a\,c+1\right)}^9}-\frac{1024\,a^2\,\left(a-b\right)\,{\left(b\,c+1\right)}^6\,{\left(-\frac{b\,x-1}{c+x}\right)}^{1/4}\,{\left(\frac{\left(a\,c+1\right)\,{\left(a+1\right)}^4}{a^8\,\left(a-b\right)}\right)}^{1/4}\,\left(16\,a^4\,b^4\,c^2+a^4\,b^2\,c^2+8\,a^4\,b^2\,c+16\,a^4\,b^2+2\,a^4\,b\,c+8\,a^4\,b+a^4+32\,a^3\,b^4\,c^2+32\,a^3\,b^4\,c-2\,a^3\,b^3\,c^2-16\,a^3\,b^3\,c-32\,a^3\,b^3+4\,a^3\,b^2\,c+16\,a^3\,b^2+6\,a^3\,b+17\,a^2\,b^4\,c^2+72\,a^2\,b^4\,c+32\,a^2\,b^4-14\,a^2\,b^3\,c-56\,a^2\,b^3+a^2\,b^2+40\,a\,b^4\,c+64\,a\,b^4-24\,a\,b^3+32\,b^4\right)}{{\left(-b\right)}^{47/4}\,{\left(a\,c+1\right)}^9}\right)\,{\left(\frac{\left(a\,c+1\right)\,{\left(a+1\right)}^4}{a^8\,\left(a-b\right)}\right)}^{3/4}+\frac{64\,\left(a-b\right)\,{\left(b\,c+1\right)}^6\,{\left(-\frac{b\,x-1}{c+x}\right)}^{1/4}\,{\left(a+1\right)}^2\,{\left(a+4\,b+4\,a\,b+a\,b\,c\right)}^2\,\left(a^3\,b^2\,c^3+8\,a^3\,b^2\,c^2+16\,a^3\,b^2\,c+2\,a^3\,b\,c^2+8\,a^3\,b\,c-16\,a^3\,b+a^3\,c+9\,a^2\,b^2\,c^2+40\,a^2\,b^2\,c+32\,a^2\,b^2+10\,a^2\,b\,c-24\,a^2\,b+a^2+24\,a\,b^2\,c+64\,a\,b^2-8\,a\,b+32\,b^2\right)}{a^6\,{\left(-b\right)}^{51/4}\,{\left(a\,c+1\right)}^8}\right)\,{\left(\frac{\left(a\,c+1\right)\,{\left(a+1\right)}^4}{a^8\,\left(a-b\right)}\right)}^{1/4}-\frac{64\,\left(a-b\right)\,{\left(b\,c+1\right)}^7\,{\left(a+1\right)}^3\,\left(4\,a+a\,c+5\right)\,{\left(a+4\,b+4\,a\,b+a\,b\,c\right)}^3}{a^7\,{\left(-b\right)}^{51/4}\,{\left(a\,c+1\right)}^8}\right)\,{\left(-\frac{4\,a\,b^3+b^3+6\,a^2\,b^3+4\,a^3\,b^3+a^4\,b^3+4\,a^2\,b^3\,c+6\,a^3\,b^3\,c+4\,a^4\,b^3\,c+a^5\,b^3\,c+a\,b^3\,c}{a^8\,b^4-a^9\,b^3}\right)}^{1/4}+2\,\mathrm{atan}\left(\frac{{\left(-\frac{4\,a\,b^3+b^3+6\,a^2\,b^3+4\,a^3\,b^3+a^4\,b^3+4\,a^2\,b^3\,c+6\,a^3\,b^3\,c+4\,a^4\,b^3\,c+a^5\,b^3\,c+a\,b^3\,c}{a^8\,b^4-a^9\,b^3}\right)}^{1/4}\,\left(-\frac{64\,{\left(-\frac{b\,x-1}{c+x}\right)}^{1/4}\,\left(512\,{\left(-b\right)}^{19/2}+a^5\,{\left(-b\right)}^{9/2}+a^4\,{\left(-b\right)}^{11/2}+2\,a^6\,{\left(-b\right)}^{9/2}-16\,a^3\,{\left(-b\right)}^{13/2}+18\,a^5\,{\left(-b\right)}^{11/2}+a^7\,{\left(-b\right)}^{9/2}-144\,a^2\,{\left(-b\right)}^{15/2}-176\,a^4\,{\left(-b\right)}^{13/2}+49\,a^6\,{\left(-b\right)}^{11/2}-576\,a^3\,{\left(-b\right)}^{15/2}-560\,a^5\,{\left(-b\right)}^{13/2}+48\,a^7\,{\left(-b\right)}^{11/2}+2688\,a^2\,{\left(-b\right)}^{17/2}-608\,a^4\,{\left(-b\right)}^{15/2}-784\,a^6\,{\left(-b\right)}^{13/2}+16\,a^8\,{\left(-b\right)}^{11/2}+7680\,a^3\,{\left(-b\right)}^{17/2}+448\,a^5\,{\left(-b\right)}^{15/2}-512\,a^7\,{\left(-b\right)}^{13/2}+7680\,a^2\,{\left(-b\right)}^{19/2}+11520\,a^4\,{\left(-b\right)}^{17/2}+1392\,a^6\,{\left(-b\right)}^{15/2}-128\,a^8\,{\left(-b\right)}^{13/2}+10240\,a^3\,{\left(-b\right)}^{19/2}+9600\,a^5\,{\left(-b\right)}^{17/2}+1024\,a^7\,{\left(-b\right)}^{15/2}+7680\,a^4\,{\left(-b\right)}^{19/2}+4224\,a^6\,{\left(-b\right)}^{17/2}+256\,a^8\,{\left(-b\right)}^{15/2}+3072\,a^5\,{\left(-b\right)}^{19/2}+768\,a^7\,{\left(-b\right)}^{17/2}+512\,a^6\,{\left(-b\right)}^{19/2}+7680\,{\left(-b\right)}^{23/2}\,c^2-10240\,{\left(-b\right)}^{25/2}\,c^3+7680\,{\left(-b\right)}^{27/2}\,c^4-3072\,{\left(-b\right)}^{29/2}\,c^5+512\,{\left(-b\right)}^{31/2}\,c^6+384\,a\,{\left(-b\right)}^{17/2}+3072\,a\,{\left(-b\right)}^{19/2}-3072\,{\left(-b\right)}^{21/2}\,c+a^7\,{\left(-b\right)}^{9/2}\,c^2-35\,a^6\,{\left(-b\right)}^{11/2}\,c^2+2\,a^8\,{\left(-b\right)}^{9/2}\,c^2+265\,a^5\,{\left(-b\right)}^{13/2}\,c^2-86\,a^7\,{\left(-b\right)}^{11/2}\,c^2+a^9\,{\left(-b\right)}^{9/2}\,c^2-851\,a^4\,{\left(-b\right)}^{15/2}\,c^2+738\,a^6\,{\left(-b\right)}^{13/2}\,c^2-10\,a^7\,{\left(-b\right)}^{11/2}\,c^3-67\,a^8\,{\left(-b\right)}^{11/2}\,c^2+2496\,a^3\,{\left(-b\right)}^{17/2}\,c^2-2566\,a^5\,{\left(-b\right)}^{15/2}\,c^2+224\,a^6\,{\left(-b\right)}^{13/2}\,c^3+649\,a^7\,{\left(-b\right)}^{13/2}\,c^2-20\,a^8\,{\left(-b\right)}^{11/2}\,c^3-16\,a^9\,{\left(-b\right)}^{11/2}\,c^2-5184\,a^2\,{\left(-b\right)}^{19/2}\,c^2+10432\,a^4\,{\left(-b\right)}^{17/2}\,c^2-1358\,a^5\,{\left(-b\right)}^{15/2}\,c^3-1907\,a^6\,{\left(-b\right)}^{15/2}\,c^2+592\,a^7\,{\left(-b\right)}^{13/2}\,c^3+144\,a^8\,{\left(-b\right)}^{13/2}\,c^2-10\,a^9\,{\left(-b\right)}^{11/2}\,c^3-31104\,a^3\,{\left(-b\right)}^{19/2}\,c^2+3784\,a^4\,{\left(-b\right)}^{17/2}\,c^3+14912\,a^5\,{\left(-b\right)}^{17/2}\,c^2-4364\,a^6\,{\left(-b\right)}^{15/2}\,c^3+45\,a^7\,{\left(-b\right)}^{13/2}\,c^4+1120\,a^7\,{\left(-b\right)}^{15/2}\,c^2+512\,a^8\,{\left(-b\right)}^{13/2}\,c^3-32\,a^9\,{\left(-b\right)}^{13/2}\,c^2+1152\,a^2\,{\left(-b\right)}^{21/2}\,c^2-7552\,a^3\,{\left(-b\right)}^{19/2}\,c^3-74624\,a^4\,{\left(-b\right)}^{19/2}\,c^2+14288\,a^5\,{\left(-b\right)}^{17/2}\,c^3-771\,a^6\,{\left(-b\right)}^{15/2}\,c^4+5824\,a^6\,{\left(-b\right)}^{17/2}\,c^2-4974\,a^7\,{\left(-b\right)}^{15/2}\,c^3+90\,a^8\,{\left(-b\right)}^{13/2}\,c^4+1952\,a^8\,{\left(-b\right)}^{15/2}\,c^2+144\,a^9\,{\left(-b\right)}^{13/2}\,c^3+6912\,a^2\,{\left(-b\right)}^{21/2}\,c^3+23040\,a^3\,{\left(-b\right)}^{21/2}\,c^2-36800\,a^4\,{\left(-b\right)}^{19/2}\,c^3+3874\,a^5\,{\left(-b\right)}^{17/2}\,c^4-91136\,a^5\,{\left(-b\right)}^{19/2}\,c^2+19144\,a^6\,{\left(-b\right)}^{17/2}\,c^3-2118\,a^7\,{\left(-b\right)}^{15/2}\,c^4-5120\,a^7\,{\left(-b\right)}^{17/2}\,c^2-2288\,a^8\,{\left(-b\right)}^{15/2}\,c^3+45\,a^9\,{\left(-b\right)}^{13/2}\,c^4+640\,a^9\,{\left(-b\right)}^{15/2}\,c^2+115200\,a^2\,{\left(-b\right)}^{23/2}\,c^2+49536\,a^3\,{\left(-b\right)}^{21/2}\,c^3-8750\,a^4\,{\left(-b\right)}^{19/2}\,c^4+57600\,a^4\,{\left(-b\right)}^{21/2}\,c^2-68032\,a^5\,{\left(-b\right)}^{19/2}\,c^3+13444\,a^6\,{\left(-b\right)}^{17/2}\,c^4-58944\,a^6\,{\left(-b\right)}^{19/2}\,c^2-120\,a^7\,{\left(-b\right)}^{15/2}\,c^5+9664\,a^7\,{\left(-b\right)}^{17/2}\,c^3-1923\,a^8\,{\left(-b\right)}^{15/2}\,c^4-5248\,a^8\,{\left(-b\right)}^{17/2}\,c^2-320\,a^9\,{\left(-b\right)}^{15/2}\,c^3+44160\,a^2\,{\left(-b\right)}^{23/2}\,c^3+11040\,a^3\,{\left(-b\right)}^{21/2}\,c^4+153600\,a^3\,{\left(-b\right)}^{23/2}\,c^2+137728\,a^4\,{\left(-b\right)}^{21/2}\,c^3-36988\,a^5\,{\left(-b\right)}^{19/2}\,c^4+63360\,a^5\,{\left(-b\right)}^{21/2}\,c^2+1644\,a^6\,{\left(-b\right)}^{17/2}\,c^5-56512\,a^6\,{\left(-b\right)}^{19/2}\,c^3+17058\,a^7\,{\left(-b\right)}^{17/2}\,c^4-18560\,a^7\,{\left(-b\right)}^{19/2}\,c^2-240\,a^8\,{\left(-b\right)}^{15/2}\,c^5+128\,a^8\,{\left(-b\right)}^{17/2}\,c^3-576\,a^9\,{\left(-b\right)}^{15/2}\,c^4-1280\,a^9\,{\left(-b\right)}^{17/2}\,c^2-480\,a^2\,{\left(-b\right)}^{23/2}\,c^4+76800\,a^3\,{\left(-b\right)}^{23/2}\,c^3+60640\,a^4\,{\left(-b\right)}^{21/2}\,c^4+115200\,a^4\,{\left(-b\right)}^{23/2}\,c^2-6776\,a^5\,{\left(-b\right)}^{19/2}\,c^5+193792\,a^5\,{\left(-b\right)}^{21/2}\,c^3-59150\,a^6\,{\left(-b\right)}^{19/2}\,c^4+33408\,a^6\,{\left(-b\right)}^{21/2}\,c^2+4632\,a^7\,{\left(-b\right)}^{17/2}\,c^5-16064\,a^7\,{\left(-b\right)}^{19/2}\,c^3+9280\,a^8\,{\left(-b\right)}^{17/2}\,c^4-2048\,a^8\,{\left(-b\right)}^{19/2}\,c^2-120\,a^9\,{\left(-b\right)}^{15/2}\,c^5-896\,a^9\,{\left(-b\right)}^{17/2}\,c^3-153600\,a^2\,{\left(-b\right)}^{25/2}\,c^3-23040\,a^3\,{\left(-b\right)}^{23/2}\,c^4+11620\,a^4\,{\left(-b\right)}^{21/2}\,c^5+57600\,a^4\,{\left(-b\right)}^{23/2}\,c^3+128864\,a^5\,{\left(-b\right)}^{21/2}\,c^4+46080\,a^5\,{\left(-b\right)}^{23/2}\,c^2-24752\,a^6\,{\left(-b\right)}^{19/2}\,c^5+146688\,a^6\,{\left(-b\right)}^{21/2}\,c^3+210\,a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(-b\right)}^{53/4}\,c^3-30240\,a^{11}\,{\left(-b\right)}^{49/4}\,c^4-21504\,a^{12}\,{\left(-b\right)}^{49/4}\,c^3-336\,a^{13}\,{\left(-b\right)}^{45/4}\,c^6-40320\,a^9\,{\left(-b\right)}^{53/4}\,c^3-2520\,a^{11}\,{\left(-b\right)}^{49/4}\,c^5-20160\,a^{12}\,{\left(-b\right)}^{49/4}\,c^4+1120\,a^9\,{\left(-b\right)}^{53/4}\,c^4-47040\,a^{10}\,{\left(-b\right)}^{53/4}\,c^3+16800\,a^{10}\,{\left(-b\right)}^{53/4}\,c^4-17920\,a^{11}\,{\left(-b\right)}^{53/4}\,c^3+336\,a^{12}\,{\left(-b\right)}^{49/4}\,c^6+4032\,a^{13}\,{\left(-b\right)}^{49/4}\,c^5+8120\,a^{10}\,{\left(-b\right)}^{53/4}\,c^5+33600\,a^{11}\,{\left(-b\right)}^{53/4}\,c^4+1344\,a^{13}\,{\left(-b\right)}^{49/4}\,c^6+11200\,a^8\,{\left(-b\right)}^{57/4}\,c^4+26880\,a^{11}\,{\left(-b\right)}^{53/4}\,c^5+17920\,a^{12}\,{\left(-b\right)}^{53/4}\,c^4+144\,a^{13}\,{\left(-b\right)}^{49/4}\,c^7+40320\,a^9\,{\left(-b\right)}^{57/4}\,c^4+1680\,a^{11}\,{\left(-b\right)}^{53/4}\,c^6+22848\,a^{12}\,{\left(-b\right)}^{53/4}\,c^5+2240\,a^9\,{\left(-b\right)}^{57/4}\,c^5+47040\,a^{10}\,{\left(-b\right)}^{57/4}\,c^4+1344\,a^{12}\,{\left(-b\right)}^{53/4}\,c^6+3584\,a^{13}\,{\left(-b\right)}^{53/4}\,c^5+17920\,a^{11}\,{\left(-b\right)}^{57/4}\,c^4+48\,a^{12}\,{\left(-b\right)}^{53/4}\,c^7-1344\,a^{13}\,{\left(-b\right)}^{53/4}\,c^6-3920\,a^{10}\,{\left(-b\right)}^{57/4}\,c^6-9408\,a^{11}\,{\left(-b\right)}^{57/4}\,c^5-384\,a^{13}\,{\left(-b\right)}^{53/4}\,c^7-6720\,a^8\,{\left(-b\right)}^{61/4}\,c^5-14784\,a^{11}\,{\left(-b\right)}^{57/4}\,c^6-7168\,a^{12}\,{\left(-b\right)}^{57/4}\,c^5-36\,a^{13}\,{\left(-b\right)}^{53/4}\,c^8-24192\,a^9\,{\left(-b\right)}^{61/4}\,c^5-528\,a^{11}\,{\left(-b\right)}^{57/4}\,c^7-14784\,a^{12}\,{\left(-b\right)}^{57/4}\,c^6-2688\,a^9\,{\left(-b\right)}^{61/4}\,c^6-28224\,a^{10}\,{\left(-b\right)}^{61/4}\,c^5-768\,a^{12}\,{\left(-b\right)}^{57/4}\,c^7-3584\,a^{13}\,{\left(-b\right)}^{57/4}\,c^6-6720\,a^{10}\,{\left(-b\right)}^{61/4}\,c^6-10752\,a^{11}\,{\left(-b\right)}^{61/4}\,c^5-60\,a^{12}\,{\left(-b\right)}^{57/4}\,c^8+192\,a^{13}\,{\left(-b\right)}^{57/4}\,c^7+1104\,a^{10}\,{\left(-b\right)}^{61/4}\,c^7-4032\,a^{11}\,{\left(-b\right)}^{61/4}\,c^6+48\,a^{13}\,{\left(-b\right)}^{57/4}\,c^8+2240\,a^8\,{\left(-b\right)}^{65/4}\,c^6+4608\,a^{11}\,{\left(-b\right)}^{61/4}\,c^7+4\,a^{13}\,{\left(-b\right)}^{57/4}\,c^9+8064\,a^9\,{\left(-b\right)}^{65/4}\,c^6+36\,a^{11}\,{\left(-b\right)}^{61/4}\,c^8+5184\,a^{12}\,{\left(-b\right)}^{61/4}\,c^7+1216\,a^9\,{\left(-b\right)}^{65/4}\,c^7+9408\,a^{10}\,{\left(-b\right)}^{65/4}\,c^6+144\,a^{12}\,{\left(-b\right)}^{61/4}\,c^8+1536\,a^{13}\,{\left(-b\right)}^{61/4}\,c^7+3840\,a^{10}\,{\left(-b\right)}^{65/4}\,c^7+3584\,a^{11}\,{\left(-b\right)}^{65/4}\,c^6+12\,a^{12}\,{\left(-b\right)}^{61/4}\,c^9-148\,a^{10}\,{\left(-b\right)}^{65/4}\,c^8+3648\,a^{11}\,{\left(-b\right)}^{65/4}\,c^7-320\,a^8\,{\left(-b\right)}^{69/4}\,c^7-624\,a^{11}\,{\left(-b\right)}^{65/4}\,c^8+1024\,a^{12}\,{\left(-b\right)}^{65/4}\,c^7-1152\,a^9\,{\left(-b\right)}^{69/4}\,c^7+12\,a^{11}\,{\left(-b\right)}^{65/4}\,c^9-768\,a^{12}\,{\left(-b\right)}^{65/4}\,c^8-208\,a^9\,{\left(-b\right)}^{69/4}\,c^8-1344\,a^{10}\,{\left(-b\right)}^{69/4}\,c^7-256\,a^{13}\,{\left(-b\right)}^{65/4}\,c^8-720\,a^{10}\,{\left(-b\right)}^{69/4}\,c^8-512\,a^{11}\,{\left(-b\right)}^{69/4}\,c^7+4\,a^{10}\,{\left(-b\right)}^{69/4}\,c^9-768\,a^{11}\,{\left(-b\right)}^{69/4}\,c^8-256\,a^{12}\,{\left(-b\right)}^{69/4}\,c^8+36\,a^{13}\,{\left(-b\right)}^{25/4}\,c-276\,a^{12}\,{\left(-b\right)}^{29/4}\,c-384\,a^{13}\,{\left(-b\right)}^{29/4}\,c+300\,a^{11}\,{\left(-b\right)}^{33/4}\,c+1536\,a^{12}\,{\left(-b\right)}^{33/4}\,c+1344\,a^{13}\,{\left(-b\right)}^{33/4}\,c+1380\,a^{10}\,{\left(-b\right)}^{37/4}\,c+2304\,a^{11}\,{\left(-b\right)}^{37/4}\,c-576\,a^{12}\,{\left(-b\right)}^{37/4}\,c-1472\,a^9\,{\left(-b\right)}^{41/4}\,c-1536\,a^{13}\,{\left(-b\right)}^{37/4}\,c-7680\,a^{10}\,{\left(-b\right)}^{41/4}\,c-11328\,a^{11}\,{\left(-b\right)}^{41/4}\,c-2240\,a^8\,{\left(-b\right)}^{45/4}\,c-5120\,a^{12}\,{\left(-b\right)}^{41/4}\,c-8064\,a^9\,{\left(-b\right)}^{45/4}\,c-9408\,a^{10}\,{\left(-b\right)}^{45/4}\,c-3584\,a^{11}\,{\left(-b\right)}^{45/4}\,c\right)}{a^{16}\,b^{18}\,c^9+9\,a^{15}\,b^{18}\,c^8+36\,a^{14}\,b^{18}\,c^7+84\,a^{13}\,b^{18}\,c^6+126\,a^{12}\,b^{18}\,c^5+126\,a^{11}\,b^{18}\,c^4+84\,a^{10}\,b^{18}\,c^3+36\,a^9\,b^{18}\,c^2+9\,a^8\,b^{18}\,c+a^7\,b^{18}}-\frac{{\left(-\frac{4\,a\,b^3+b^3+6\,a^2\,b^3+4\,a^3\,b^3+a^4\,b^3+4\,a^2\,b^3\,c+6\,a^3\,b^3\,c+4\,a^4\,b^3\,c+a^5\,b^3\,c+a\,b^3\,c}{a^8\,b^4-a^9\,b^3}\right)}^{1/4}\,{\left(-\frac{b\,x-1}{c+x}\right)}^{1/4}\,\left(16\,a^{13}\,{\left(-b\right)}^{11/2}-80\,a^{12}\,{\left(-b\right)}^{13/2}-80\,a^{11}\,{\left(-b\right)}^{15/2}-128\,a^{13}\,{\left(-b\right)}^{13/2}+400\,a^{10}\,{\left(-b\right)}^{17/2}+128\,a^{12}\,{\left(-b\right)}^{15/2}+896\,a^9\,{\left(-b\right)}^{19/2}+1152\,a^{11}\,{\left(-b\right)}^{17/2}+256\,a^{13}\,{\left(-b\right)}^{15/2}+512\,a^8\,{\left(-b\right)}^{21/2}+1920\,a^{10}\,{\left(-b\right)}^{19/2}+768\,a^{12}\,{\left(-b\right)}^{17/2}+1024\,a^9\,{\left(-b\right)}^{21/2}+1024\,a^{11}\,{\left(-b\right)}^{19/2}+512\,a^{10}\,{\left(-b\right)}^{21/2}+448\,a^{13}\,{\left(-b\right)}^{15/2}\,c^2-1344\,a^{12}\,{\left(-b\right)}^{17/2}\,c^2-2624\,a^{11}\,{\left(-b\right)}^{19/2}\,c^2-2688\,a^{13}\,{\left(-b\right)}^{17/2}\,c^2+1088\,a^{10}\,{\left(-b\right)}^{21/2}\,c^2+128\,a^{12}\,{\left(-b\right)}^{19/2}\,c^2-896\,a^{13}\,{\left(-b\right)}^{17/2}\,c^3+9600\,a^9\,{\left(-b\right)}^{23/2}\,c^2+9344\,a^{11}\,{\left(-b\right)}^{21/2}\,c^2+1792\,a^{12}\,{\left(-b\right)}^{19/2}\,c^3+4096\,a^{13}\,{\left(-b\right)}^{19/2}\,c^2+7680\,a^8\,{\left(-b\right)}^{25/2}\,c^2+21888\,a^{10}\,{\left(-b\right)}^{23/2}\,c^2+4096\,a^{11}\,{\left(-b\right)}^{21/2}\,c^3+8704\,a^{12}\,{\left(-b\right)}^{21/2}\,c^2+4480\,a^{13}\,{\left(-b\right)}^{19/2}\,c^3+15360\,a^9\,{\left(-b\right)}^{25/2}\,c^2+3328\,a^{10}\,{\left(-b\right)}^{23/2}\,c^3+12288\,a^{11}\,{\left(-b\right)}^{23/2}\,c^2+128\,a^{12}\,{\left(-b\right)}^{21/2}\,c^3+1120\,a^{13}\,{\left(-b\right)}^{19/2}\,c^4-8320\,a^9\,{\left(-b\right)}^{25/2}\,c^3+7680\,a^{10}\,{\left(-b\right)}^{25/2}\,c^2-4992\,a^{11}\,{\left(-b\right)}^{23/2}\,c^3-1120\,a^{12}\,{\left(-b\right)}^{21/2}\,c^4-6656\,a^{13}\,{\left(-b\right)}^{21/2}\,c^3-10240\,a^8\,{\left(-b\right)}^{27/2}\,c^3-21120\,a^{10}\,{\left(-b\right)}^{25/2}\,c^3-2400\,a^{11}\,{\left(-b\right)}^{23/2}\,c^4-9216\,a^{12}\,{\left(-b\right)}^{23/2}\,c^3-4480\,a^{13}\,{\left(-b\right)}^{21/2}\,c^4-20480\,a^9\,{\left(-b\right)}^{27/2}\,c^3-7200\,a^{10}\,{\left(-b\right)}^{25/2}\,c^4-12800\,a^{11}\,{\left(-b\right)}^{25/2}\,c^3+1920\,a^{12}\,{\left(-b\right)}^{23/2}\,c^4-896\,a^{13}\,{\left(-b\right)}^{21/2}\,c^5+640\,a^9\,{\left(-b\right)}^{27/2}\,c^4-10240\,a^{10}\,{\left(-b\right)}^{27/2}\,c^3-3200\,a^{11}\,{\left(-b\right)}^{25/2}\,c^4+7680\,a^{13}\,{\left(-b\right)}^{23/2}\,c^4+7680\,a^8\,{\left(-b\right)}^{29/2}\,c^4+5760\,a^{10}\,{\left(-b\right)}^{27/2}\,c^4-1280\,a^{11}\,{\left(-b\right)}^{25/2}\,c^5+5120\,a^{12}\,{\left(-b\right)}^{25/2}\,c^4+2688\,a^{13}\,{\left(-b\right)}^{23/2}\,c^5+15360\,a^9\,{\left(-b\right)}^{29/2}\,c^4+5120\,a^{10}\,{\left(-b\right)}^{27/2}\,c^5+5120\,a^{11}\,{\left(-b\right)}^{27/2}\,c^4-5248\,a^{12}\,{\left(-b\right)}^{25/2}\,c^5+448\,a^{13}\,{\left(-b\right)}^{23/2}\,c^6+4224\,a^9\,{\left(-b\right)}^{29/2}\,c^5+7680\,a^{10}\,{\left(-b\right)}^{29/2}\,c^4+3968\,a^{11}\,{\left(-b\right)}^{27/2}\,c^5+448\,a^{12}\,{\left(-b\right)}^{25/2}\,c^6-6656\,a^{13}\,{\left(-b\right)}^{25/2}\,c^5-3072\,a^8\,{\left(-b\right)}^{31/2}\,c^5+5760\,a^{10}\,{\left(-b\right)}^{29/2}\,c^5+2752\,a^{11}\,{\left(-b\right)}^{27/2}\,c^6-2048\,a^{12}\,{\left(-b\right)}^{27/2}\,c^5-896\,a^{13}\,{\left(-b\right)}^{25/2}\,c^6-6144\,a^9\,{\left(-b\right)}^{31/2}\,c^5-704\,a^{10}\,{\left(-b\right)}^{29/2}\,c^6+1536\,a^{11}\,{\left(-b\right)}^{29/2}\,c^5+5504\,a^{12}\,{\left(-b\right)}^{27/2}\,c^6-128\,a^{13}\,{\left(-b\right)}^{25/2}\,c^7-2944\,a^9\,{\left(-b\right)}^{31/2}\,c^6-3072\,a^{10}\,{\left(-b\right)}^{31/2}\,c^5+384\,a^{11}\,{\left(-b\right)}^{29/2}\,c^6-256\,a^{12}\,{\left(-b\right)}^{27/2}\,c^7+4096\,a^{13}\,{\left(-b\right)}^{27/2}\,c^6+512\,a^8\,{\left(-b\right)}^{33/2}\,c^6-4992\,a^{10}\,{\left(-b\right)}^{31/2}\,c^6-1536\,a^{11}\,{\left(-b\right)}^{29/2}\,c^7+1536\,a^{12}\,{\left(-b\right)}^{29/2}\,c^6+128\,a^{13}\,{\left(-b\right)}^{27/2}\,c^7+1024\,a^9\,{\left(-b\right)}^{33/2}\,c^6-768\,a^{10}\,{\left(-b\right)}^{31/2}\,c^7-2048\,a^{11}\,{\left(-b\right)}^{31/2}\,c^6-2688\,a^{12}\,{\left(-b\right)}^{29/2}\,c^7+16\,a^{13}\,{\left(-b\right)}^{27/2}\,c^8+640\,a^9\,{\left(-b\right)}^{33/2}\,c^7+512\,a^{10}\,{\left(-b\right)}^{33/2}\,c^6-1664\,a^{11}\,{\left(-b\right)}^{31/2}\,c^7+48\,a^{12}\,{\left(-b\right)}^{29/2}\,c^8-1536\,a^{13}\,{\left(-b\right)}^{29/2}\,c^7+1152\,a^{10}\,{\left(-b\right)}^{33/2}\,c^7+304\,a^{11}\,{\left(-b\right)}^{31/2}\,c^8-1024\,a^{12}\,{\left(-b\right)}^{31/2}\,c^7+272\,a^{10}\,{\left(-b\right)}^{33/2}\,c^8+512\,a^{11}\,{\left(-b\right)}^{33/2}\,c^7+512\,a^{12}\,{\left(-b\right)}^{31/2}\,c^8+512\,a^{11}\,{\left(-b\right)}^{33/2}\,c^8+256\,a^{13}\,{\left(-b\right)}^{31/2}\,c^8+256\,a^{12}\,{\left(-b\right)}^{33/2}\,c^8-128\,a^{13}\,{\left(-b\right)}^{13/2}\,c+512\,a^{12}\,{\left(-b\right)}^{15/2}\,c+768\,a^{11}\,{\left(-b\right)}^{17/2}\,c+896\,a^{13}\,{\left(-b\right)}^{15/2}\,c-1536\,a^{10}\,{\left(-b\right)}^{19/2}\,c-384\,a^{12}\,{\left(-b\right)}^{17/2}\,c-4736\,a^9\,{\left(-b\right)}^{21/2}\,c-5504\,a^{11}\,{\left(-b\right)}^{19/2}\,c-1536\,a^{13}\,{\left(-b\right)}^{17/2}\,c-3072\,a^8\,{\left(-b\right)}^{23/2}\,c-10368\,a^{10}\,{\left(-b\right)}^{21/2}\,c-4096\,a^{12}\,{\left(-b\right)}^{19/2}\,c-6144\,a^9\,{\left(-b\right)}^{23/2}\,c-5632\,a^{11}\,{\left(-b\right)}^{21/2}\,c-3072\,a^{10}\,{\left(-b\right)}^{23/2}\,c\right)\,64{}\mathrm{i}}{{\left(-b\right)}^{1/4}\,\left(a^{15}\,b^{17}\,c^9+9\,a^{14}\,b^{17}\,c^8+36\,a^{13}\,b^{17}\,c^7+84\,a^{12}\,b^{17}\,c^6+126\,a^{11}\,b^{17}\,c^5+126\,a^{10}\,b^{17}\,c^4+84\,a^9\,b^{17}\,c^3+36\,a^8\,b^{17}\,c^2+9\,a^7\,b^{17}\,c+a^6\,b^{17}\right)}\right)\,1{}\mathrm{i}\right)-{\left(-\frac{4\,a\,b^3+b^3+6\,a^2\,b^3+4\,a^3\,b^3+a^4\,b^3+4\,a^2\,b^3\,c+6\,a^3\,b^3\,c+4\,a^4\,b^3\,c+a^5\,b^3\,c+a\,b^3\,c}{a^8\,b^4-a^9\,b^3}\right)}^{1/4}\,\left(\frac{64\,{\left(-\frac{b\,x-1}{c+x}\right)}^{1/4}\,\left(512\,{\left(-b\right)}^{19/2}+a^5\,{\left(-b\right)}^{9/2}+a^4\,{\left(-b\right)}^{11/2}+2\,a^6\,{\left(-b\right)}^{9/2}-16\,a^3\,{\left(-b\right)}^{13/2}+18\,a^5\,{\left(-b\right)}^{11/2}+a^7\,{\left(-b\right)}^{9/2}-144\,a^2\,{\left(-b\right)}^{15/2}-176\,a^4\,{\left(-b\right)}^{13/2}+49\,a^6\,{\left(-b\right)}^{11/2}-576\,a^3\,{\left(-b\right)}^{15/2}-560\,a^5\,{\left(-b\right)}^{13/2}+48\,a^7\,{\left(-b\right)}^{11/2}+2688\,a^2\,{\left(-b\right)}^{17/2}-608\,a^4\,{\left(-b\right)}^{15/2}-784\,a^6\,{\left(-b\right)}^{13/2}+16\,a^8\,{\left(-b\right)}^{11/2}+7680\,a^3\,{\left(-b\right)}^{17/2}+448\,a^5\,{\left(-b\right)}^{15/2}-512\,a^7\,{\left(-b\right)}^{13/2}+7680\,a^2\,{\left(-b\right)}^{19/2}+11520\,a^4\,{\left(-b\right)}^{17/2}+1392\,a^6\,{\left(-b\right)}^{15/2}-128\,a^8\,{\left(-b\right)}^{13/2}+10240\,a^3\,{\left(-b\right)}^{19/2}+9600\,a^5\,{\left(-b\right)}^{17/2}+1024\,a^7\,{\left(-b\right)}^{15/2}+7680\,a^4\,{\left(-b\right)}^{19/2}+4224\,a^6\,{\left(-b\right)}^{17/2}+256\,a^8\,{\left(-b\right)}^{15/2}+3072\,a^5\,{\left(-b\right)}^{19/2}+768\,a^7\,{\left(-b\right)}^{17/2}+512\,a^6\,{\left(-b\right)}^{19/2}+7680\,{\left(-b\right)}^{23/2}\,c^2-10240\,{\left(-b\right)}^{25/2}\,c^3+7680\,{\left(-b\right)}^{27/2}\,c^4-3072\,{\left(-b\right)}^{29/2}\,c^5+512\,{\left(-b\right)}^{31/2}\,c^6+384\,a\,{\left(-b\right)}^{17/2}+3072\,a\,{\left(-b\right)}^{19/2}-3072\,{\left(-b\right)}^{21/2}\,c+a^7\,{\left(-b\right)}^{9/2}\,c^2-35\,a^6\,{\left(-b\right)}^{11/2}\,c^2+2\,a^8\,{\left(-b\right)}^{9/2}\,c^2+265\,a^5\,{\left(-b\right)}^{13/2}\,c^2-86\,a^7\,{\left(-b\right)}^{11/2}\,c^2+a^9\,{\left(-b\right)}^{9/2}\,c^2-851\,a^4\,{\left(-b\right)}^{15/2}\,c^2+738\,a^6\,{\left(-b\right)}^{13/2}\,c^2-10\,a^7\,{\left(-b\right)}^{11/2}\,c^3-67\,a^8\,{\left(-b\right)}^{11/2}\,c^2+2496\,a^3\,{\left(-b\right)}^{17/2}\,c^2-2566\,a^5\,{\left(-b\right)}^{15/2}\,c^2+224\,a^6\,{\left(-b\right)}^{13/2}\,c^3+649\,a^7\,{\left(-b\right)}^{13/2}\,c^2-20\,a^8\,{\left(-b\right)}^{11/2}\,c^3-16\,a^9\,{\left(-b\right)}^{11/2}\,c^2-5184\,a^2\,{\left(-b\right)}^{19/2}\,c^2+10432\,a^4\,{\left(-b\right)}^{17/2}\,c^2-1358\,a^5\,{\left(-b\right)}^{15/2}\,c^3-1907\,a^6\,{\left(-b\right)}^{15/2}\,c^2+592\,a^7\,{\left(-b\right)}^{13/2}\,c^3+144\,a^8\,{\left(-b\right)}^{13/2}\,c^2-10\,a^9\,{\left(-b\right)}^{11/2}\,c^3-31104\,a^3\,{\left(-b\right)}^{19/2}\,c^2+3784\,a^4\,{\left(-b\right)}^{17/2}\,c^3+14912\,a^5\,{\left(-b\right)}^{17/2}\,c^2-4364\,a^6\,{\left(-b\right)}^{15/2}\,c^3+45\,a^7\,{\left(-b\right)}^{13/2}\,c^4+1120\,a^7\,{\left(-b\right)}^{15/2}\,c^2+512\,a^8\,{\left(-b\right)}^{13/2}\,c^3-32\,a^9\,{\left(-b\right)}^{13/2}\,c^2+1152\,a^2\,{\left(-b\right)}^{21/2}\,c^2-7552\,a^3\,{\left(-b\right)}^{19/2}\,c^3-74624\,a^4\,{\left(-b\right)}^{19/2}\,c^2+14288\,a^5\,{\left(-b\right)}^{17/2}\,c^3-771\,a^6\,{\left(-b\right)}^{15/2}\,c^4+5824\,a^6\,{\left(-b\right)}^{17/2}\,c^2-4974\,a^7\,{\left(-b\right)}^{15/2}\,c^3+90\,a^8\,{\left(-b\right)}^{13/2}\,c^4+1952\,a^8\,{\left(-b\right)}^{15/2}\,c^2+144\,a^9\,{\left(-b\right)}^{13/2}\,c^3+6912\,a^2\,{\left(-b\right)}^{21/2}\,c^3+23040\,a^3\,{\left(-b\right)}^{21/2}\,c^2-36800\,a^4\,{\left(-b\right)}^{19/2}\,c^3+3874\,a^5\,{\left(-b\right)}^{17/2}\,c^4-91136\,a^5\,{\left(-b\right)}^{19/2}\,c^2+19144\,a^6\,{\left(-b\right)}^{17/2}\,c^3-2118\,a^7\,{\left(-b\right)}^{15/2}\,c^4-5120\,a^7\,{\left(-b\right)}^{17/2}\,c^2-2288\,a^8\,{\left(-b\right)}^{15/2}\,c^3+45\,a^9\,{\left(-b\right)}^{13/2}\,c^4+640\,a^9\,{\left(-b\right)}^{15/2}\,c^2+115200\,a^2\,{\left(-b\right)}^{23/2}\,c^2+49536\,a^3\,{\left(-b\right)}^{21/2}\,c^3-8750\,a^4\,{\left(-b\right)}^{19/2}\,c^4+57600\,a^4\,{\left(-b\right)}^{21/2}\,c^2-68032\,a^5\,{\left(-b\right)}^{19/2}\,c^3+13444\,a^6\,{\left(-b\right)}^{17/2}\,c^4-58944\,a^6\,{\left(-b\right)}^{19/2}\,c^2-120\,a^7\,{\left(-b\right)}^{15/2}\,c^5+9664\,a^7\,{\left(-b\right)}^{17/2}\,c^3-1923\,a^8\,{\left(-b\right)}^{15/2}\,c^4-5248\,a^8\,{\left(-b\right)}^{17/2}\,c^2-320\,a^9\,{\left(-b\right)}^{15/2}\,c^3+44160\,a^2\,{\left(-b\right)}^{23/2}\,c^3+11040\,a^3\,{\left(-b\right)}^{21/2}\,c^4+153600\,a^3\,{\left(-b\right)}^{23/2}\,c^2+137728\,a^4\,{\left(-b\right)}^{21/2}\,c^3-36988\,a^5\,{\left(-b\right)}^{19/2}\,c^4+63360\,a^5\,{\left(-b\right)}^{21/2}\,c^2+1644\,a^6\,{\left(-b\right)}^{17/2}\,c^5-56512\,a^6\,{\left(-b\right)}^{19/2}\,c^3+17058\,a^7\,{\left(-b\right)}^{17/2}\,c^4-18560\,a^7\,{\left(-b\right)}^{19/2}\,c^2-240\,a^8\,{\left(-b\right)}^{15/2}\,c^5+128\,a^8\,{\left(-b\right)}^{17/2}\,c^3-576\,a^9\,{\left(-b\right)}^{15/2}\,c^4-1280\,a^9\,{\left(-b\right)}^{17/2}\,c^2-480\,a^2\,{\left(-b\right)}^{23/2}\,c^4+76800\,a^3\,{\left(-b\right)}^{23/2}\,c^3+60640\,a^4\,{\left(-b\right)}^{21/2}\,c^4+115200\,a^4\,{\left(-b\right)}^{23/2}\,c^2-6776\,a^5\,{\left(-b\right)}^{19/2}\,c^5+193792\,a^5\,{\left(-b\right)}^{21/2}\,c^3-59150\,a^6\,{\left(-b\right)}^{19/2}\,c^4+33408\,a^6\,{\left(-b\right)}^{21/2}\,c^2+4632\,a^7\,{\left(-b\right)}^{17/2}\,c^5-16064\,a^7\,{\left(-b\right)}^{19/2}\,c^3+9280\,a^8\,{\left(-b\right)}^{17/2}\,c^4-2048\,a^8\,{\left(-b\right)}^{19/2}\,c^2-120\,a^9\,{\left(-b\right)}^{15/2}\,c^5-896\,a^9\,{\left(-b\right)}^{17/2}\,c^3-153600\,a^2\,{\left(-b\right)}^{25/2}\,c^3-23040\,a^3\,{\left(-b\right)}^{23/2}\,c^4+11620\,a^4\,{\left(-b\right)}^{21/2}\,c^5+57600\,a^4\,{\left(-b\right)}^{23/2}\,c^3+128864\,a^5\,{\left(-b\right)}^{21/2}\,c^4+46080\,a^5\,{\left(-b\right)}^{23/2}\,c^2-24752\,a^6\,{\left(-b\right)}^{19/2}\,c^5+146688\,a^6\,{\left(-b\right)}^{21/2}\,c^3+210\,a^7\,{\left(-b\right)}^{17/2}\,c^6-43232\,a^7\,{\left(-b\right)}^{19/2}\,c^4+6912\,a^7\,{\left(-b\right)}^{21/2}\,c^2+4332\,a^8\,{\left(-b\right)}^{17/2}\,c^5+3968\,a^8\,{\left(-b\right)}^{19/2}\,c^3+1792\,a^9\,{\left(-b\right)}^{17/2}\,c^4-90240\,a^2\,{\left(-b\right)}^{25/2}\,c^4-7104\,a^3\,{\left(-b\right)}^{23/2}\,c^5-204800\,a^3\,{\left(-b\right)}^{25/2}\,c^3-100160\,a^4\,{\left(-b\right)}^{23/2}\,c^4+53480\,a^5\,{\left(-b\right)}^{21/2}\,c^5+9600\,a^5\,{\left(-b\right)}^{23/2}\,c^3-2310\,a^6\,{\left(-b\right)}^{19/2}\,c^6+131872\,a^6\,{\left(-b\right)}^{21/2}\,c^4+7680\,a^6\,{\left(-b\right)}^{23/2}\,c^2-33432\,a^7\,{\left(-b\right)}^{19/2}\,c^5+56704\,a^7\,{\left(-b\right)}^{21/2}\,c^3+420\,a^8\,{\left(-b\right)}^{17/2}\,c^6-13216\,a^8\,{\left(-b\right)}^{19/2}\,c^4+1344\,a^9\,{\left(-b\right)}^{17/2}\,c^5+2304\,a^9\,{\left(-b\right)}^{19/2}\,c^3-9216\,a^2\,{\left(-b\right)}^{25/2}\,c^5-192000\,a^3\,{\left(-b\right)}^{25/2}\,c^4-48224\,a^4\,{\left(-b\right)}^{23/2}\,c^5-153600\,a^4\,{\left(-b\right)}^{25/2}\,c^3+7546\,a^5\,{\left(-b\right)}^{21/2}\,c^6-179840\,a^5\,{\left(-b\right)}^{23/2}\,c^4+94948\,a^6\,{\left(-b\right)}^{21/2}\,c^5-9600\,a^6\,{\left(-b\right)}^{23/2}\,c^3-6636\,a^7\,{\left(-b\right)}^{19/2}\,c^6+63232\,a^7\,{\left(-b\right)}^{21/2}\,c^4-19712\,a^8\,{\left(-b\right)}^{19/2}\,c^5+8704\,a^8\,{\left(-b\right)}^{21/2}\,c^3+210\,a^9\,{\left(-b\right)}^{17/2}\,c^6-896\,a^9\,{\left(-b\right)}^{19/2}\,c^4+115200\,a^2\,{\left(-b\right)}^{27/2}\,c^4-31104\,a^3\,{\left(-b\right)}^{25/2}\,c^5-8750\,a^4\,{\left(-b\right)}^{23/2}\,c^6-211200\,a^4\,{\left(-b\right)}^{25/2}\,c^4-121120\,a^5\,{\left(-b\right)}^{23/2}\,c^5-61440\,a^5\,{\left(-b\right)}^{25/2}\,c^3+28756\,a^6\,{\left(-b\right)}^{21/2}\,c^6-161760\,a^6\,{\left(-b\right)}^{23/2}\,c^4-252\,a^7\,{\left(-b\right)}^{19/2}\,c^7+80416\,a^7\,{\left(-b\right)}^{21/2}\,c^5-3840\,a^7\,{\left(-b\right)}^{23/2}\,c^3-6342\,a^8\,{\left(-b\right)}^{19/2}\,c^6+9344\,a^8\,{\left(-b\right)}^{21/2}\,c^4-4256\,a^9\,{\left(-b\right)}^{19/2}\,c^5+81792\,a^2\,{\left(-b\right)}^{27/2}\,c^5-832\,a^3\,{\left(-b\right)}^{25/2}\,c^6+153600\,a^3\,{\left(-b\right)}^{27/2}\,c^4-23552\,a^4\,{\left(-b\right)}^{25/2}\,c^5-44380\,a^5\,{\left(-b\right)}^{23/2}\,c^6-124800\,a^5\,{\left(-b\right)}^{25/2}\,c^4+2184\,a^6\,{\left(-b\right)}^{21/2}\,c^7-146336\,a^6\,{\left(-b\right)}^{23/2}\,c^5-10240\,a^6\,{\left(-b\right)}^{25/2}\,c^3+40698\,a^7\,{\left(-b\right)}^{21/2}\,c^6-72320\,a^7\,{\left(-b\right)}^{23/2}\,c^4-504\,a^8\,{\left(-b\right)}^{19/2}\,c^7+31808\,a^8\,{\left(-b\right)}^{21/2}\,c^5-2016\,a^9\,{\left(-b\right)}^{19/2}\,c^6-1280\,a^9\,{\left(-b\right)}^{21/2}\,c^4+10944\,a^2\,{\left(-b\right)}^{27/2}\,c^6+184320\,a^3\,{\left(-b\right)}^{27/2}\,c^5+8896\,a^4\,{\left(-b\right)}^{25/2}\,c^6+115200\,a^4\,{\left(-b\right)}^{27/2}\,c^4-5300\,a^5\,{\left(-b\right)}^{23/2}\,c^7+32512\,a^5\,{\left(-b\right)}^{25/2}\,c^5-86702\,a^6\,{\left(-b\right)}^{23/2}\,c^6-36480\,a^6\,{\left(-b\right)}^{25/2}\,c^4+6384\,a^7\,{\left(-b\right)}^{21/2}\,c^7-87968\,a^7\,{\left(-b\right)}^{23/2}\,c^5+25312\,a^8\,{\left(-b\right)}^{21/2}\,c^6-12800\,a^8\,{\left(-b\right)}^{23/2}\,c^4-252\,a^9\,{\left(-b\right)}^{19/2}\,c^7+4480\,a^9\,{\left(-b\right)}^{21/2}\,c^5-46080\,a^2\,{\left(-b\right)}^{29/2}\,c^5+49536\,a^3\,{\left(-b\right)}^{27/2}\,c^6+3016\,a^4\,{\left(-b\right)}^{25/2}\,c^7+218880\,a^4\,{\left(-b\right)}^{27/2}\,c^5+44864\,a^5\,{\left(-b\right)}^{25/2}\,c^6+46080\,a^5\,{\left(-b\right)}^{27/2}\,c^4-21128\,a^6\,{\left(-b\right)}^{23/2}\,c^7+66048\,a^6\,{\left(-b\right)}^{25/2}\,c^5+210\,a^7\,{\left(-b\right)}^{21/2}\,c^8-81536\,a^7\,{\left(-b\right)}^{23/2}\,c^6-3840\,a^7\,{\left(-b\right)}^{25/2}\,c^4+6216\,a^8\,{\left(-b\right)}^{21/2}\,c^7-22912\,a^8\,{\left(-b\right)}^{23/2}\,c^5+5824\,a^9\,{\left(-b\right)}^{21/2}\,c^6-36480\,a^2\,{\left(-b\right)}^{29/2}\,c^6+4224\,a^3\,{\left(-b\right)}^{27/2}\,c^7-61440\,a^3\,{\left(-b\right)}^{29/2}\,c^5+86656\,a^4\,{\left(-b\right)}^{27/2}\,c^6+18896\,a^5\,{\left(-b\right)}^{25/2}\,c^7+144000\,a^5\,{\left(-b\right)}^{27/2}\,c^5-1374\,a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ight)}^{45/4}\,c^3+30912\,a^{11}\,{\left(-b\right)}^{45/4}\,c^2+3360\,a^{13}\,{\left(-b\right)}^{41/4}\,c^4+6720\,a^8\,{\left(-b\right)}^{49/4}\,c^2+21504\,a^{11}\,{\left(-b\right)}^{45/4}\,c^3+14336\,a^{12}\,{\left(-b\right)}^{45/4}\,c^2+504\,a^{13}\,{\left(-b\right)}^{41/4}\,c^5+24192\,a^9\,{\left(-b\right)}^{49/4}\,c^2+1848\,a^{11}\,{\left(-b\right)}^{45/4}\,c^4+9408\,a^{12}\,{\left(-b\right)}^{45/4}\,c^3-4032\,a^9\,{\left(-b\right)}^{49/4}\,c^3+28224\,a^{10}\,{\left(-b\right)}^{49/4}\,c^2-3360\,a^{12}\,{\left(-b\right)}^{45/4}\,c^4-3584\,a^{13}\,{\left(-b\right)}^{45/4}\,c^3-26880\,a^{10}\,{\left(-b\right)}^{49/4}\,c^3+10752\,a^{11}\,{\left(-b\right)}^{49/4}\,c^2-1176\,a^{12}\,{\left(-b\right)}^{45/4}\,c^5-6720\,a^{13}\,{\left(-b\right)}^{45/4}\,c^4-10584\,a^{10}\,{\left(-b\right)}^{49/4}\,c^4-44352\,a^{11}\,{\left(-b\right)}^{49/4}\,c^3-2688\,a^{13}\,{\left(-b\right)}^{45/4}\,c^5-11200\,a^8\,{\left(-b\right)}^{53/4}\,c^3-30240\,a^{11}\,{\left(-b\right)}^{49/4}\,c^4-21504\,a^{12}\,{\left(-b\right)}^{49/4}\,c^3-336\,a^{13}\,{\left(-b\right)}^{45/4}\,c^6-40320\,a^9\,{\left(-b\right)}^{53/4}\,c^3-2520\,a^{11}\,{\left(-b\right)}^{49/4}\,c^5-20160\,a^{12}\,{\left(-b\right)}^{49/4}\,c^4+1120\,a^9\,{\left(-b\right)}^{53/4}\,c^4-47040\,a^{10}\,{\left(-b\right)}^{53/4}\,c^3+16800\,a^{10}\,{\left(-b\right)}^{53/4}\,c^4-17920\,a^{11}\,{\left(-b\right)}^{53/4}\,c^3+336\,a^{12}\,{\left(-b\right)}^{49/4}\,c^6+4032\,a^{13}\,{\left(-b\right)}^{49/4}\,c^5+8120\,a^{10}\,{\left(-b\right)}^{53/4}\,c^5+33600\,a^{11}\,{\left(-b\right)}^{53/4}\,c^4+1344\,a^{13}\,{\left(-b\right)}^{49/4}\,c^6+11200\,a^8\,{\left(-b\right)}^{57/4}\,c^4+26880\,a^{11}\,{\left(-b\right)}^{53/4}\,c^5+17920\,a^{12}\,{\left(-b\right)}^{53/4}\,c^4+144\,a^{13}\,{\left(-b\right)}^{49/4}\,c^7+40320\,a^9\,{\left(-b\right)}^{57/4}\,c^4+1680\,a^{11}\,{\left(-b\right)}^{53/4}\,c^6+22848\,a^{12}\,{\left(-b\right)}^{53/4}\,c^5+2240\,a^9\,{\left(-b\right)}^{57/4}\,c^5+47040\,a^{10}\,{\left(-b\right)}^{57/4}\,c^4+1344\,a^{12}\,{\left(-b\right)}^{53/4}\,c^6+3584\,a^{13}\,{\left(-b\right)}^{53/4}\,c^5+17920\,a^{11}\,{\left(-b\right)}^{57/4}\,c^4+48\,a^{12}\,{\left(-b\right)}^{53/4}\,c^7-1344\,a^{13}\,{\left(-b\right)}^{53/4}\,c^6-3920\,a^{10}\,{\left(-b\right)}^{57/4}\,c^6-9408\,a^{11}\,{\left(-b\right)}^{57/4}\,c^5-384\,a^{13}\,{\left(-b\right)}^{53/4}\,c^7-6720\,a^8\,{\left(-b\right)}^{61/4}\,c^5-14784\,a^{11}\,{\left(-b\right)}^{57/4}\,c^6-7168\,a^{12}\,{\left(-b\right)}^{57/4}\,c^5-36\,a^{13}\,{\left(-b\right)}^{53/4}\,c^8-24192\,a^9\,{\left(-b\right)}^{61/4}\,c^5-528\,a^{11}\,{\left(-b\right)}^{57/4}\,c^7-14784\,a^{12}\,{\left(-b\right)}^{57/4}\,c^6-2688\,a^9\,{\left(-b\right)}^{61/4}\,c^6-28224\,a^{10}\,{\left(-b\right)}^{61/4}\,c^5-768\,a^{12}\,{\left(-b\right)}^{57/4}\,c^7-3584\,a^{13}\,{\left(-b\right)}^{57/4}\,c^6-6720\,a^{10}\,{\left(-b\right)}^{61/4}\,c^6-10752\,a^{11}\,{\left(-b\right)}^{61/4}\,c^5-60\,a^{12}\,{\left(-b\right)}^{57/4}\,c^8+192\,a^{13}\,{\left(-b\right)}^{57/4}\,c^7+1104\,a^{10}\,{\left(-b\right)}^{61/4}\,c^7-4032\,a^{11}\,{\left(-b\right)}^{61/4}\,c^6+48\,a^{13}\,{\left(-b\right)}^{57/4}\,c^8+2240\,a^8\,{\left(-b\right)}^{65/4}\,c^6+4608\,a^{11}\,{\left(-b\right)}^{61/4}\,c^7+4\,a^{13}\,{\left(-b\right)}^{57/4}\,c^9+8064\,a^9\,{\left(-b\right)}^{65/4}\,c^6+36\,a^{11}\,{\left(-b\right)}^{61/4}\,c^8+5184\,a^{12}\,{\left(-b\right)}^{61/4}\,c^7+1216\,a^9\,{\left(-b\right)}^{65/4}\,c^7+9408\,a^{10}\,{\left(-b\right)}^{65/4}\,c^6+144\,a^{12}\,{\left(-b\right)}^{61/4}\,c^8+1536\,a^{13}\,{\left(-b\right)}^{61/4}\,c^7+3840\,a^{10}\,{\left(-b\right)}^{65/4}\,c^7+3584\,a^{11}\,{\left(-b\right)}^{65/4}\,c^6+12\,a^{12}\,{\left(-b\right)}^{61/4}\,c^9-148\,a^{10}\,{\left(-b\right)}^{65/4}\,c^8+3648\,a^{11}\,{\left(-b\right)}^{65/4}\,c^7-320\,a^8\,{\left(-b\right)}^{69/4}\,c^7-624\,a^{11}\,{\left(-b\right)}^{65/4}\,c^8+1024\,a^{12}\,{\left(-b\right)}^{65/4}\,c^7-1152\,a^9\,{\left(-b\right)}^{69/4}\,c^7+12\,a^{11}\,{\left(-b\right)}^{65/4}\,c^9-768\,a^{12}\,{\left(-b\right)}^{65/4}\,c^8-208\,a^9\,{\left(-b\right)}^{69/4}\,c^8-1344\,a^{10}\,{\left(-b\right)}^{69/4}\,c^7-256\,a^{13}\,{\left(-b\right)}^{65/4}\,c^8-720\,a^{10}\,{\left(-b\right)}^{69/4}\,c^8-512\,a^{11}\,{\left(-b\right)}^{69/4}\,c^7+4\,a^{10}\,{\left(-b\right)}^{69/4}\,c^9-768\,a^{11}\,{\left(-b\right)}^{69/4}\,c^8-256\,a^{12}\,{\left(-b\right)}^{69/4}\,c^8+36\,a^{13}\,{\left(-b\right)}^{25/4}\,c-276\,a^{12}\,{\left(-b\right)}^{29/4}\,c-384\,a^{13}\,{\left(-b\right)}^{29/4}\,c+300\,a^{11}\,{\left(-b\right)}^{33/4}\,c+1536\,a^{12}\,{\left(-b\right)}^{33/4}\,c+1344\,a^{13}\,{\left(-b\right)}^{33/4}\,c+1380\,a^{10}\,{\left(-b\right)}^{37/4}\,c+2304\,a^{11}\,{\left(-b\right)}^{37/4}\,c-576\,a^{12}\,{\left(-b\right)}^{37/4}\,c-1472\,a^9\,{\left(-b\right)}^{41/4}\,c-1536\,a^{13}\,{\left(-b\right)}^{37/4}\,c-7680\,a^{10}\,{\left(-b\right)}^{41/4}\,c-11328\,a^{11}\,{\left(-b\right)}^{41/4}\,c-2240\,a^8\,{\left(-b\right)}^{45/4}\,c-5120\,a^{12}\,{\left(-b\right)}^{41/4}\,c-8064\,a^9\,{\left(-b\right)}^{45/4}\,c-9408\,a^{10}\,{\left(-b\right)}^{45/4}\,c-3584\,a^{11}\,{\left(-b\right)}^{45/4}\,c\right)}{a^{16}\,b^{18}\,c^9+9\,a^{15}\,b^{18}\,c^8+36\,a^{14}\,b^{18}\,c^7+84\,a^{13}\,b^{18}\,c^6+126\,a^{12}\,b^{18}\,c^5+126\,a^{11}\,b^{18}\,c^4+84\,a^{10}\,b^{18}\,c^3+36\,a^9\,b^{18}\,c^2+9\,a^8\,b^{18}\,c+a^7\,b^{18}}+\frac{{\left(-\frac{4\,a\,b^3+b^3+6\,a^2\,b^3+4\,a^3\,b^3+a^4\,b^3+4\,a^2\,b^3\,c+6\,a^3\,b^3\,c+4\,a^4\,b^3\,c+a^5\,b^3\,c+a\,b^3\,c}{a^8\,b^4-a^9\,b^3}\right)}^{1/4}\,{\left(-\frac{b\,x-1}{c+x}\right)}^{1/4}\,\left(16\,a^{13}\,{\left(-b\right)}^{11/2}-80\,a^{12}\,{\left(-b\right)}^{13/2}-80\,a^{11}\,{\left(-b\right)}^{15/2}-128\,a^{13}\,{\left(-b\right)}^{13/2}+400\,a^{10}\,{\left(-b\right)}^{17/2}+128\,a^{12}\,{\left(-b\right)}^{15/2}+896\,a^9\,{\left(-b\right)}^{19/2}+1152\,a^{11}\,{\left(-b\right)}^{17/2}+256\,a^{13}\,{\left(-b\right)}^{15/2}+512\,a^8\,{\left(-b\right)}^{21/2}+1920\,a^{10}\,{\left(-b\right)}^{19/2}+768\,a^{12}\,{\left(-b\right)}^{17/2}+1024\,a^9\,{\left(-b\right)}^{21/2}+1024\,a^{11}\,{\left(-b\right)}^{19/2}+512\,a^{10}\,{\left(-b\right)}^{21/2}+448\,a^{13}\,{\left(-b\right)}^{15/2}\,c^2-1344\,a^{12}\,{\left(-b\right)}^{17/2}\,c^2-2624\,a^{11}\,{\left(-b\right)}^{19/2}\,c^2-2688\,a^{13}\,{\left(-b\right)}^{17/2}\,c^2+1088\,a^{10}\,{\left(-b\right)}^{21/2}\,c^2+128\,a^{12}\,{\left(-b\right)}^{19/2}\,c^2-896\,a^{13}\,{\left(-b\right)}^{17/2}\,c^3+9600\,a^9\,{\left(-b\right)}^{23/2}\,c^2+9344\,a^{11}\,{\left(-b\right)}^{21/2}\,c^2+1792\,a^{12}\,{\left(-b\right)}^{19/2}\,c^3+4096\,a^{13}\,{\left(-b\right)}^{19/2}\,c^2+7680\,a^8\,{\left(-b\right)}^{25/2}\,c^2+21888\,a^{10}\,{\left(-b\right)}^{23/2}\,c^2+4096\,a^{11}\,{\left(-b\right)}^{21/2}\,c^3+8704\,a^{12}\,{\left(-b\right)}^{21/2}\,c^2+4480\,a^{13}\,{\left(-b\right)}^{19/2}\,c^3+15360\,a^9\,{\left(-b\right)}^{25/2}\,c^2+3328\,a^{10}\,{\left(-b\right)}^{23/2}\,c^3+12288\,a^{11}\,{\left(-b\right)}^{23/2}\,c^2+128\,a^{12}\,{\left(-b\right)}^{21/2}\,c^3+1120\,a^{13}\,{\left(-b\right)}^{19/2}\,c^4-8320\,a^9\,{\left(-b\right)}^{25/2}\,c^3+7680\,a^{10}\,{\left(-b\right)}^{25/2}\,c^2-4992\,a^{11}\,{\left(-b\right)}^{23/2}\,c^3-1120\,a^{12}\,{\left(-b\right)}^{21/2}\,c^4-6656\,a^{13}\,{\left(-b\right)}^{21/2}\,c^3-10240\,a^8\,{\left(-b\right)}^{27/2}\,c^3-21120\,a^{10}\,{\left(-b\right)}^{25/2}\,c^3-2400\,a^{11}\,{\left(-b\right)}^{23/2}\,c^4-9216\,a^{12}\,{\left(-b\right)}^{23/2}\,c^3-4480\,a^{13}\,{\left(-b\right)}^{21/2}\,c^4-20480\,a^9\,{\left(-b\right)}^{27/2}\,c^3-7200\,a^{10}\,{\left(-b\right)}^{25/2}\,c^4-12800\,a^{11}\,{\left(-b\right)}^{25/2}\,c^3+1920\,a^{12}\,{\left(-b\right)}^{23/2}\,c^4-896\,a^{13}\,{\left(-b\right)}^{21/2}\,c^5+640\,a^9\,{\left(-b\right)}^{27/2}\,c^4-10240\,a^{10}\,{\left(-b\right)}^{27/2}\,c^3-3200\,a^{11}\,{\left(-b\right)}^{25/2}\,c^4+7680\,a^{13}\,{\left(-b\right)}^{23/2}\,c^4+7680\,a^8\,{\left(-b\right)}^{29/2}\,c^4+5760\,a^{10}\,{\left(-b\right)}^{27/2}\,c^4-1280\,a^{11}\,{\left(-b\right)}^{25/2}\,c^5+5120\,a^{12}\,{\left(-b\right)}^{25/2}\,c^4+2688\,a^{13}\,{\left(-b\right)}^{23/2}\,c^5+15360\,a^9\,{\left(-b\right)}^{29/2}\,c^4+5120\,a^{10}\,{\left(-b\right)}^{27/2}\,c^5+5120\,a^{11}\,{\left(-b\right)}^{27/2}\,c^4-5248\,a^{12}\,{\left(-b\right)}^{25/2}\,c^5+448\,a^{13}\,{\left(-b\right)}^{23/2}\,c^6+4224\,a^9\,{\left(-b\right)}^{29/2}\,c^5+7680\,a^{10}\,{\left(-b\right)}^{29/2}\,c^4+3968\,a^{11}\,{\left(-b\right)}^{27/2}\,c^5+448\,a^{12}\,{\left(-b\right)}^{25/2}\,c^6-6656\,a^{13}\,{\left(-b\right)}^{25/2}\,c^5-3072\,a^8\,{\left(-b\right)}^{31/2}\,c^5+5760\,a^{10}\,{\left(-b\right)}^{29/2}\,c^5+2752\,a^{11}\,{\left(-b\right)}^{27/2}\,c^6-2048\,a^{12}\,{\left(-b\right)}^{27/2}\,c^5-896\,a^{13}\,{\left(-b\right)}^{25/2}\,c^6-6144\,a^9\,{\left(-b\right)}^{31/2}\,c^5-704\,a^{10}\,{\left(-b\right)}^{29/2}\,c^6+1536\,a^{11}\,{\left(-b\right)}^{29/2}\,c^5+5504\,a^{12}\,{\left(-b\right)}^{27/2}\,c^6-128\,a^{13}\,{\left(-b\right)}^{25/2}\,c^7-2944\,a^9\,{\left(-b\right)}^{31/2}\,c^6-3072\,a^{10}\,{\left(-b\right)}^{31/2}\,c^5+384\,a^{11}\,{\left(-b\right)}^{29/2}\,c^6-256\,a^{12}\,{\left(-b\right)}^{27/2}\,c^7+4096\,a^{13}\,{\left(-b\right)}^{27/2}\,c^6+512\,a^8\,{\left(-b\right)}^{33/2}\,c^6-4992\,a^{10}\,{\left(-b\right)}^{31/2}\,c^6-1536\,a^{11}\,{\left(-b\right)}^{29/2}\,c^7+1536\,a^{12}\,{\left(-b\right)}^{29/2}\,c^6+128\,a^{13}\,{\left(-b\right)}^{27/2}\,c^7+1024\,a^9\,{\left(-b\right)}^{33/2}\,c^6-768\,a^{10}\,{\left(-b\right)}^{31/2}\,c^7-2048\,a^{11}\,{\left(-b\right)}^{31/2}\,c^6-2688\,a^{12}\,{\left(-b\right)}^{29/2}\,c^7+16\,a^{13}\,{\left(-b\right)}^{27/2}\,c^8+640\,a^9\,{\left(-b\right)}^{33/2}\,c^7+512\,a^{10}\,{\left(-b\right)}^{33/2}\,c^6-1664\,a^{11}\,{\left(-b\right)}^{31/2}\,c^7+48\,a^{12}\,{\left(-b\right)}^{29/2}\,c^8-1536\,a^{13}\,{\left(-b\right)}^{29/2}\,c^7+1152\,a^{10}\,{\left(-b\right)}^{33/2}\,c^7+304\,a^{11}\,{\left(-b\right)}^{31/2}\,c^8-1024\,a^{12}\,{\left(-b\right)}^{31/2}\,c^7+272\,a^{10}\,{\left(-b\right)}^{33/2}\,c^8+512\,a^{11}\,{\left(-b\right)}^{33/2}\,c^7+512\,a^{12}\,{\left(-b\right)}^{31/2}\,c^8+512\,a^{11}\,{\left(-b\right)}^{33/2}\,c^8+256\,a^{13}\,{\left(-b\right)}^{31/2}\,c^8+256\,a^{12}\,{\left(-b\right)}^{33/2}\,c^8-128\,a^{13}\,{\left(-b\right)}^{13/2}\,c+512\,a^{12}\,{\left(-b\right)}^{15/2}\,c+768\,a^{11}\,{\left(-b\right)}^{17/2}\,c+896\,a^{13}\,{\left(-b\right)}^{15/2}\,c-1536\,a^{10}\,{\left(-b\right)}^{19/2}\,c-384\,a^{12}\,{\left(-b\right)}^{17/2}\,c-4736\,a^9\,{\left(-b\right)}^{21/2}\,c-5504\,a^{11}\,{\left(-b\right)}^{19/2}\,c-1536\,a^{13}\,{\left(-b\right)}^{17/2}\,c-3072\,a^8\,{\left(-b\right)}^{23/2}\,c-10368\,a^{10}\,{\left(-b\right)}^{21/2}\,c-4096\,a^{12}\,{\left(-b\right)}^{19/2}\,c-6144\,a^9\,{\left(-b\right)}^{23/2}\,c-5632\,a^{11}\,{\left(-b\right)}^{21/2}\,c-3072\,a^{10}\,{\left(-b\right)}^{23/2}\,c\right)\,64{}\mathrm{i}}{{\left(-b\right)}^{1/4}\,\left(a^{15}\,b^{17}\,c^9+9\,a^{14}\,b^{17}\,c^8+36\,a^{13}\,b^{17}\,c^7+84\,a^{12}\,b^{17}\,c^6+126\,a^{11}\,b^{17}\,c^5+126\,a^{10}\,b^{17}\,c^4+84\,a^9\,b^{17}\,c^3+36\,a^8\,b^{17}\,c^2+9\,a^7\,b^{17}\,c+a^6\,b^{17}\right)}\right)\,1{}\mathrm{i}\right)}{-\frac{128\,\left(5\,a^4\,{\left(-b\right)}^{21/4}-320\,{\left(-b\right)}^{37/4}+19\,a^5\,{\left(-b\right)}^{21/4}+27\,a^6\,{\left(-b\right)}^{21/4}-55\,a^3\,{\left(-b\right)}^{25/4}+17\,a^7\,{\left(-b\right)}^{21/4}-269\,a^4\,{\left(-b\right)}^{25/4}+4\,a^8\,{\left(-b\right)}^{21/4}-525\,a^5\,{\left(-b\right)}^{25/4}+180\,a^2\,{\left(-b\right)}^{29/4}-511\,a^6\,{\left(-b\right)}^{25/4}+1104\,a^3\,{\left(-b\right)}^{29/4}-248\,a^7\,{\left(-b\right)}^{25/4}+2808\,a^4\,{\left(-b\right)}^{29/4}-48\,a^8\,{\left(-b\right)}^{25/4}+3792\,a^5\,{\left(-b\right)}^{29/4}-784\,a^2\,{\left(-b\right)}^{33/4}+2868\,a^6\,{\left(-b\right)}^{29/4}-2976\,a^3\,{\left(-b\right)}^{33/4}+1152\,a^7\,{\left(-b\right)}^{29/4}-5920\,a^4\,{\left(-b\right)}^{33/4}+192\,a^8\,{\left(-b\right)}^{29/4}-6800\,a^5\,{\left(-b\right)}^{33/4}-6336\,a^2\,{\left(-b\right)}^{37/4}-4560\,a^6\,{\left(-b\right)}^{33/4}-10240\,a^3\,{\left(-b\right)}^{37/4}-1664\,a^7\,{\left(-b\right)}^{33/4}-9920\,a^4\,{\left(-b\right)}^{37/4}-256\,a^8\,{\left(-b\right)}^{33/4}-5760\,a^5\,{\left(-b\right)}^{37/4}-1856\,a^6\,{\left(-b\right)}^{37/4}-256\,a^7\,{\left(-b\right)}^{37/4}-6720\,{\left(-b\right)}^{45/4}\,c^2+11200\,{\left(-b\right)}^{49/4}\,c^3-11200\,{\left(-b\right)}^{53/4}\,c^4+6720\,{\left(-b\right)}^{57/4}\,c^5-2240\,{\left(-b\right)}^{61/4}\,c^6+320\,{\left(-b\right)}^{65/4}\,c^7-80\,a\,{\left(-b\right)}^{33/4}-2176\,a\,{\left(-b\right)}^{37/4}+2240\,{\left(-b\right)}^{41/4}\,c+a^6\,{\left(-b\right)}^{21/4}\,c^2+3\,a^7\,{\left(-b\right)}^{21/4}\,c^2+3\,a^8\,{\left(-b\right)}^{21/4}\,c^2-71\,a^5\,{\left(-b\right)}^{25/4}\,c^2+a^9\,{\left(-b\right)}^{21/4}\,c^2-265\,a^6\,{\left(-b\right)}^{25/4}\,c^2-10\,a^6\,{\left(-b\right)}^{25/4}\,c^3-369\,a^7\,{\left(-b\right)}^{25/4}\,c^2+849\,a^4\,{\left(-b\right)}^{29/4}\,c^2-30\,a^7\,{\left(-b\right)}^{25/4}\,c^3-227\,a^8\,{\left(-b\right)}^{25/4}\,c^2+3851\,a^5\,{\left(-b\right)}^{29/4}\,c^2-30\,a^8\,{\left(-b\right)}^{25/4}\,c^3-52\,a^9\,{\left(-b\right)}^{25/4}\,c^2+368\,a^5\,{\left(-b\right)}^{29/4}\,c^3+6939\,a^6\,{\left(-b\right)}^{29/4}\,c^2-10\,a^9\,{\left(-b\right)}^{25/4}\,c^3-3607\,a^3\,{\left(-b\right)}^{33/4}\,c^2+1392\,a^6\,{\left(-b\right)}^{29/4}\,c^3+6201\,a^7\,{\left(-b\right)}^{29/4}\,c^2-19689\,a^4\,{\left(-b\right)}^{33/4}\,c^2+45\,a^6\,{\left(-b\right)}^{29/4}\,c^4+1968\,a^7\,{\left(-b\right)}^{29/4}\,c^3+2744\,a^8\,{\left(-b\right)}^{29/4}\,c^2-3198\,a^4\,{\left(-b\right)}^{33/4}\,c^3-44241\,a^5\,{\left(-b\right)}^{33/4}\,c^2+135\,a^7\,{\left(-b\right)}^{29/4}\,c^4+1232\,a^8\,{\left(-b\right)}^{29/4}\,c^3+480\,a^9\,{\left(-b\right)}^{29/4}\,c^2+4880\,a^2\,{\left(-b\right)}^{37/4}\,c^2-14874\,a^5\,{\left(-b\right)}^{33/4}\,c^3-52259\,a^6\,{\left(-b\right)}^{33/4}\,c^2+135\,a^8\,{\left(-b\right)}^{29/4}\,c^4+288\,a^9\,{\left(-b\right)}^{29/4}\,c^3+33088\,a^3\,{\left(-b\right)}^{37/4}\,c^2-1107\,a^5\,{\left(-b\right)}^{33/4}\,c^4-27546\,a^6\,{\left(-b\right)}^{33/4}\,c^3-34116\,a^7\,{\left(-b\right)}^{33/4}\,c^2+45\,a^9\,{\left(-b\right)}^{29/4}\,c^4+9976\,a^3\,{\left(-b\right)}^{37/4}\,c^3+93600\,a^4\,{\left(-b\right)}^{37/4}\,c^2-4233\,a^6\,{\left(-b\right)}^{33/4}\,c^4-25374\,a^7\,{\left(-b\right)}^{33/4}\,c^3-11616\,a^8\,{\left(-b\right)}^{33/4}\,c^2+56280\,a^4\,{\left(-b\right)}^{37/4}\,c^3+142912\,a^5\,{\left(-b\right)}^{37/4}\,c^2-120\,a^6\,{\left(-b\right)}^{33/4}\,c^5-6057\,a^7\,{\left(-b\right)}^{33/4}\,c^4-11616\,a^8\,{\left(-b\right)}^{33/4}\,c^3-1600\,a^9\,{\left(-b\right)}^{33/4}\,c^2+11200\,a^2\,{\left(-b\right)}^{41/4}\,c^2+7290\,a^4\,{\left(-b\right)}^{37/4}\,c^4+131064\,a^5\,{\left(-b\right)}^{37/4}\,c^3+126608\,a^6\,{\left(-b\right)}^{37/4}\,c^2-360\,a^7\,{\left(-b\right)}^{33/4}\,c^5-3843\,a^8\,{\left(-b\right)}^{33/4}\,c^4-2112\,a^9\,{\left(-b\right)}^{33/4}\,c^3-7952\,a^2\,{\left(-b\right)}^{41/4}\,c^3+12096\,a^3\,{\left(-b\right)}^{41/4}\,c^2+34566\,a^5\,{\left(-b\right)}^{37/4}\,c^4+161096\,a^6\,{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ht)}^{57/4}\,c^8+3952\,a^2\,{\left(-b\right)}^{65/4}\,c^8+10240\,a^3\,{\left(-b\right)}^{65/4}\,c^7-43\,a^4\,{\left(-b\right)}^{61/4}\,c^{10}-4374\,a^5\,{\left(-b\right)}^{61/4}\,c^9-21868\,a^6\,{\left(-b\right)}^{61/4}\,c^8-30\,a^7\,{\left(-b\right)}^{57/4}\,c^{11}-13120\,a^7\,{\left(-b\right)}^{61/4}\,c^7-567\,a^8\,{\left(-b\right)}^{57/4}\,c^{10}-816\,a^9\,{\left(-b\right)}^{57/4}\,c^9+412\,a^2\,{\left(-b\right)}^{65/4}\,c^9+10656\,a^3\,{\left(-b\right)}^{65/4}\,c^8+9920\,a^4\,{\left(-b\right)}^{65/4}\,c^7-57\,a^5\,{\left(-b\right)}^{61/4}\,c^{10}-2586\,a^6\,{\left(-b\right)}^{61/4}\,c^9-5760\,a^7\,{\left(-b\right)}^{61/4}\,c^8-30\,a^8\,{\left(-b\right)}^{57/4}\,c^{11}-1536\,a^8\,{\left(-b\right)}^{61/4}\,c^7-148\,a^9\,{\left(-b\right)}^{57/4}\,c^{10}+2304\,a^3\,{\left(-b\right)}^{65/4}\,c^9+15840\,a^4\,{\left(-b\right)}^{65/4}\,c^8+8\,a^5\,{\left(-b\right)}^{61/4}\,c^{11}+5760\,a^5\,{\left(-b\right)}^{65/4}\,c^7+183\,a^6\,{\left(-b\right)}^{61/4}\,c^{10}+236\,a^7\,{\left(-b\right)}^{61/4}\,c^9+128\,a^8\,{\left(-b\right)}^{61/4}\,c^8-10\,a^9\,{\left(-b\right)}^{57/4}\,c^{11}+125\,a^3\,{\left(-b\right)}^{65/4}\,c^{10}+5352\,a^4\,{\left(-b\right)}^{65/4}\,c^9+14000\,a^5\,{\left(-b\right)}^{65/4}\,c^8+40\,a^6\,{\left(-b\right)}^{61/4}\,c^{11}+1856\,a^6\,{\left(-b\right)}^{65/4}\,c^7+461\,a^7\,{\left(-b\right)}^{61/4}\,c^{10}+864\,a^8\,{\left(-b\right)}^{61/4}\,c^9+256\,a^9\,{\left(-b\right)}^{61/4}\,c^8+595\,a^4\,{\left(-b\right)}^{65/4}\,c^{10}+6608\,a^5\,{\left(-b\right)}^{65/4}\,c^9+a^6\,{\left(-b\right)}^{61/4}\,c^{12}+7344\,a^6\,{\left(-b\right)}^{65/4}\,c^8+72\,a^7\,{\left(-b\right)}^{61/4}\,c^{11}+256\,a^7\,{\left(-b\right)}^{65/4}\,c^7+360\,a^8\,{\left(-b\right)}^{61/4}\,c^{10}+256\,a^9\,{\left(-b\right)}^{61/4}\,c^9+18\,a^4\,{\left(-b\right)}^{65/4}\,c^{11}+1131\,a^5\,{\left(-b\right)}^{65/4}\,c^{10}+4572\,a^6\,{\left(-b\right)}^{65/4}\,c^9+3\,a^7\,{\left(-b\right)}^{61/4}\,c^{12}+2112\,a^7\,{\left(-b\right)}^{65/4}\,c^8+56\,a^8\,{\left(-b\right)}^{61/4}\,c^{11}+96\,a^9\,{\left(-b\right)}^{61/4}\,c^{10}+70\,a^5\,{\left(-b\right)}^{65/4}\,c^{11}+1073\,a^6\,{\left(-b\right)}^{65/4}\,c^{10}+1680\,a^7\,{\left(-b\right)}^{65/4}\,c^9+3\,a^8\,{\left(-b\right)}^{61/4}\,c^{12}+256\,a^8\,{\left(-b\right)}^{65/4}\,c^8+16\,a^9\,{\left(-b\right)}^{61/4}\,c^{11}+a^5\,{\left(-b\right)}^{65/4}\,c^{12}+102\,a^6\,{\left(-b\right)}^{65/4}\,c^{11}+508\,a^7\,{\left(-b\right)}^{65/4}\,c^{10}+256\,a^8\,{\left(-b\right)}^{65/4}\,c^9+a^9\,{\left(-b\right)}^{61/4}\,c^{12}+3\,a^6\,{\left(-b\right)}^{65/4}\,c^{12}+66\,a^7\,{\left(-b\right)}^{65/4}\,c^{11}+96\,a^8\,{\left(-b\right)}^{65/4}\,c^{10}+3\,a^7\,{\left(-b\right)}^{65/4}\,c^{12}+16\,a^8\,{\left(-b\right)}^{65/4}\,c^{11}+a^8\,{\left(-b\right)}^{65/4}\,c^{12}-64\,a\,{\left(-b\right)}^{37/4}\,c+15232\,a\,{\left(-b\right)}^{41/4}\,c+6\,a^5\,{\left(-b\right)}^{21/4}\,c+22\,a^6\,{\left(-b\right)}^{21/4}\,c+30\,a^7\,{\left(-b\right)}^{21/4}\,c-116\,a^4\,{\left(-b\right)}^{25/4}\,c+18\,a^8\,{\left(-b\right)}^{21/4}\,c-504\,a^5\,{\left(-b\right)}^{25/4}\,c+4\,a^9\,{\left(-b\right)}^{21/4}\,c-864\,a^6\,{\left(-b\right)}^{25/4}\,c+706\,a^3\,{\left(-b\right)}^{29/4}\,c-728\,a^7\,{\left(-b\right)}^{25/4}\,c+3698\,a^4\,{\left(-b\right)}^{29/4}\,c-300\,a^8\,{\left(-b\right)}^{25/4}\,c+7914\,a^5\,{\left(-b\right)}^{29/4}\,c-48\,a^9\,{\left(-b\right)}^{25/4}\,c-1476\,a^2\,{\left(-b\right)}^{33/4}\,c+8806\,a^6\,{\left(-b\right)}^{29/4}\,c-9472\,a^3\,{\left(-b\right)}^{33/4}\,c+5324\,a^7\,{\left(-b\right)}^{29/4}\,c-25368\,a^4\,{\left(-b\right)}^{33/4}\,c+1632\,a^8\,{\left(-b\right)}^{29/4}\,c-36528\,a^5\,{\left(-b\right)}^{33/4}\,c+192\,a^9\,{\left(-b\right)}^{29/4}\,c+1536\,a^2\,{\left(-b\right)}^{37/4}\,c-30212\,a^6\,{\left(-b\right)}^{33/4}\,c+10176\,a^3\,{\left(-b\right)}^{37/4}\,c-14064\,a^7\,{\left(-b\right)}^{33/4}\,c+25600\,a^4\,{\left(-b\right)}^{37/4}\,c-3264\,a^8\,{\left(-b\right)}^{33/4}\,c+33600\,a^5\,{\left(-b\right)}^{37/4}\,c-256\,a^9\,{\left(-b\right)}^{33/4}\,c+2688\,a\,{\left(-b\right)}^{41/4}\,c^2+44352\,a^2\,{\left(-b\right)}^{41/4}\,c+24576\,a^6\,{\left(-b\right)}^{37/4}\,c+71680\,a^3\,{\left(-b\right)}^{41/4}\,c+9536\,a^7\,{\left(-b\right)}^{37/4}\,c+69440\,a^4\,{\left(-b\right)}^{41/4}\,c+1536\,a^8\,{\left(-b\right)}^{37/4}\,c+40320\,a^5\,{\left(-b\right)}^{41/4}\,c-45696\,a\,{\left(-b\right)}^{45/4}\,c^2+12992\,a^6\,{\left(-b\right)}^{41/4}\,c-10304\,a\,{\left(-b\right)}^{45/4}\,c^3+1792\,a^7\,{\left(-b\right)}^{41/4}\,c+76160\,a\,{\left(-b\right)}^{49/4}\,c^3+19040\,a\,{\left(-b\right)}^{49/4}\,c^4-76160\,a\,{\left(-b\right)}^{53/4}\,c^4-20160\,a\,{\left(-b\right)}^{53/4}\,c^5+45696\,a\,{\left(-b\right)}^{57/4}\,c^5+12544\,a\,{\left(-b\right)}^{57/4}\,c^6-15232\,a\,{\left(-b\right)}^{61/4}\,c^6-4288\,a\,{\left(-b\right)}^{61/4}\,c^7+2176\,a\,{\left(-b\right)}^{65/4}\,c^7+624\,a\,{\left(-b\right)}^{65/4}\,c^8\right)}{a^{16}\,b^{18}\,c^9+9\,a^{15}\,b^{18}\,c^8+36\,a^{14}\,b^{18}\,c^7+84\,a^{13}\,b^{18}\,c^6+126\,a^{12}\,b^{18}\,c^5+126\,a^{11}\,b^{18}\,c^4+84\,a^{10}\,b^{18}\,c^3+36\,a^9\,b^{18}\,c^2+9\,a^8\,b^{18}\,c+a^7\,b^{18}}+{\left(-\frac{4\,a\,b^3+b^3+6\,a^2\,b^3+4\,a^3\,b^3+a^4\,b^3+4\,a^2\,b^3\,c+6\,a^3\,b^3\,c+4\,a^4\,b^3\,c+a^5\,b^3\,c+a\,b^3\,c}{a^8\,b^4-a^9\,b^3}\right)}^{1/4}\,\left(-\frac{64\,{\left(-\frac{b\,x-1}{c+x}\right)}^{1/4}\,\left(512\,{\left(-b\right)}^{19/2}+a^5\,{\left(-b\right)}^{9/2}+a^4\,{\left(-b\right)}^{11/2}+2\,a^6\,{\left(-b\right)}^{9/2}-16\,a^3\,{\left(-b\right)}^{13/2}+18\,a^5\,{\left(-b\right)}^{11/2}+a^7\,{\left(-b\right)}^{9/2}-144\,a^2\,{\left(-b\right)}^{15/2}-176\,a^4\,{\left(-b\right)}^{13/2}+49\,a^6\,{\left(-b\right)}^{11/2}-576\,a^3\,{\left(-b\right)}^{15/2}-560\,a^5\,{\left(-b\right)}^{13/2}+48\,a^7\,{\left(-b\right)}^{11/2}+2688\,a^2\,{\left(-b\right)}^{17/2}-608\,a^4\,{\left(-b\right)}^{15/2}-784\,a^6\,{\left(-b\right)}^{13/2}+16\,a^8\,{\left(-b\right)}^{11/2}+7680\,a^3\,{\left(-b\right)}^{17/2}+448\,a^5\,{\left(-b\right)}^{15/2}-512\,a^7\,{\left(-b\right)}^{13/2}+7680\,a^2\,{\left(-b\right)}^{19/2}+11520\,a^4\,{\left(-b\right)}^{17/2}+1392\,a^6\,{\left(-b\right)}^{15/2}-128\,a^8\,{\left(-b\right)}^{13/2}+10240\,a^3\,{\left(-b\right)}^{19/2}+9600\,a^5\,{\left(-b\right)}^{17/2}+1024\,a^7\,{\left(-b\right)}^{15/2}+7680\,a^4\,{\left(-b\right)}^{19/2}+4224\,a^6\,{\left(-b\right)}^{17/2}+256\,a^8\,{\left(-b\right)}^{15/2}+3072\,a^5\,{\left(-b\right)}^{19/2}+768\,a^7\,{\left(-b\right)}^{17/2}+512\,a^6\,{\left(-b\right)}^{19/2}+7680\,{\left(-b\right)}^{23/2}\,c^2-10240\,{\left(-b\right)}^{25/2}\,c^3+7680\,{\left(-b\right)}^{27/2}\,c^4-3072\,{\left(-b\right)}^{29/2}\,c^5+512\,{\left(-b\right)}^{31/2}\,c^6+384\,a\,{\left(-b\right)}^{17/2}+3072\,a\,{\left(-b\right)}^{19/2}-3072\,{\left(-b\right)}^{21/2}\,c+a^7\,{\left(-b\right)}^{9/2}\,c^2-35\,a^6\,{\left(-b\right)}^{11/2}\,c^2+2\,a^8\,{\left(-b\right)}^{9/2}\,c^2+265\,a^5\,{\left(-b\right)}^{13/2}\,c^2-86\,a^7\,{\left(-b\right)}^{11/2}\,c^2+a^9\,{\left(-b\right)}^{9/2}\,c^2-851\,a^4\,{\left(-b\right)}^{15/2}\,c^2+738\,a^6\,{\left(-b\right)}^{13/2}\,c^2-10\,a^7\,{\left(-b\right)}^{11/2}\,c^3-67\,a^8\,{\left(-b\right)}^{11/2}\,c^2+2496\,a^3\,{\left(-b\right)}^{17/2}\,c^2-2566\,a^5\,{\left(-b\right)}^{15/2}\,c^2+224\,a^6\,{\left(-b\right)}^{13/2}\,c^3+649\,a^7\,{\left(-b\right)}^{13/2}\,c^2-20\,a^8\,{\left(-b\right)}^{11/2}\,c^3-16\,a^9\,{\left(-b\right)}^{11/2}\,c^2-5184\,a^2\,{\left(-b\right)}^{19/2}\,c^2+10432\,a^4\,{\left(-b\right)}^{17/2}\,c^2-1358\,a^5\,{\left(-b\right)}^{15/2}\,c^3-1907\,a^6\,{\left(-b\right)}^{15/2}\,c^2+592\,a^7\,{\left(-b\right)}^{13/2}\,c^3+144\,a^8\,{\left(-b\right)}^{13/2}\,c^2-10\,a^9\,{\left(-b\right)}^{11/2}\,c^3-31104\,a^3\,{\left(-b\right)}^{19/2}\,c^2+3784\,a^4\,{\left(-b\right)}^{17/2}\,c^3+14912\,a^5\,{\left(-b\right)}^{17/2}\,c^2-4364\,a^6\,{\left(-b\right)}^{15/2}\,c^3+45\,a^7\,{\left(-b\right)}^{13/2}\,c^4+1120\,a^7\,{\left(-b\right)}^{15/2}\,c^2+512\,a^8\,{\left(-b\right)}^{13/2}\,c^3-32\,a^9\,{\left(-b\right)}^{13/2}\,c^2+1152\,a^2\,{\left(-b\right)}^{21/2}\,c^2-7552\,a^3\,{\left(-b\right)}^{19/2}\,c^3-74624\,a^4\,{\left(-b\right)}^{19/2}\,c^2+14288\,a^5\,{\left(-b\right)}^{17/2}\,c^3-771\,a^6\,{\left(-b\right)}^{15/2}\,c^4+5824\,a^6\,{\left(-b\right)}^{17/2}\,c^2-4974\,a^7\,{\left(-b\right)}^{15/2}\,c^3+90\,a^8\,{\left(-b\right)}^{13/2}\,c^4+1952\,a^8\,{\left(-b\right)}^{15/2}\,c^2+144\,a^9\,{\left(-b\right)}^{13/2}\,c^3+6912\,a^2\,{\left(-b\right)}^{21/2}\,c^3+23040\,a^3\,{\left(-b\right)}^{21/2}\,c^2-36800\,a^4\,{\left(-b\right)}^{19/2}\,c^3+3874\,a^5\,{\left(-b\right)}^{17/2}\,c^4-91136\,a^5\,{\left(-b\right)}^{19/2}\,c^2+19144\,a^6\,{\left(-b\right)}^{17/2}\,c^3-2118\,a^7\,{\left(-b\right)}^{15/2}\,c^4-5120\,a^7\,{\left(-b\right)}^{17/2}\,c^2-2288\,a^8\,{\left(-b\right)}^{15/2}\,c^3+45\,a^9\,{\left(-b\right)}^{13/2}\,c^4+640\,a^9\,{\left(-b\right)}^{15/2}\,c^2+115200\,a^2\,{\left(-b\right)}^{23/2}\,c^2+49536\,a^3\,{\left(-b\right)}^{21/2}\,c^3-8750\,a^4\,{\left(-b\right)}^{19/2}\,c^4+57600\,a^4\,{\left(-b\right)}^{21/2}\,c^2-68032\,a^5\,{\left(-b\right)}^{19/2}\,c^3+13444\,a^6\,{\left(-b\right)}^{17/2}\,c^4-58944\,a^6\,{\left(-b\right)}^{19/2}\,c^2-120\,a^7\,{\left(-b\right)}^{15/2}\,c^5+9664\,a^7\,{\left(-b\right)}^{17/2}\,c^3-1923\,a^8\,{\left(-b\right)}^{15/2}\,c^4-5248\,a^8\,{\left(-b\right)}^{17/2}\,c^2-320\,a^9\,{\left(-b\right)}^{15/2}\,c^3+44160\,a^2\,{\left(-b\right)}^{23/2}\,c^3+11040\,a^3\,{\left(-b\right)}^{21/2}\,c^4+153600\,a^3\,{\left(-b\right)}^{23/2}\,c^2+137728\,a^4\,{\left(-b\right)}^{21/2}\,c^3-36988\,a^5\,{\left(-b\right)}^{19/2}\,c^4+63360\,a^5\,{\left(-b\right)}^{21/2}\,c^2+1644\,a^6\,{\left(-b\right)}^{17/2}\,c^5-56512\,a^6\,{\left(-b\right)}^{19/2}\,c^3+17058\,a^7\,{\left(-b\right)}^{17/2}\,c^4-18560\,a^7\,{\left(-b\right)}^{19/2}\,c^2-240\,a^8\,{\left(-b\right)}^{15/2}\,c^5+128\,a^8\,{\left(-b\right)}^{17/2}\,c^3-576\,a^9\,{\left(-b\right)}^{15/2}\,c^4-1280\,a^9\,{\left(-b\right)}^{17/2}\,c^2-480\,a^2\,{\left(-b\right)}^{23/2}\,c^4+76800\,a^3\,{\left(-b\right)}^{23/2}\,c^3+60640\,a^4\,{\left(-b\right)}^{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}^{31/2}\,c^{10}+32\,a^7\,{\left(-b\right)}^{29/2}\,c^{11}+1488\,a^7\,{\left(-b\right)}^{31/2}\,c^9+272\,a^8\,{\left(-b\right)}^{29/2}\,c^{10}+256\,a^8\,{\left(-b\right)}^{31/2}\,c^8-10\,a^9\,{\left(-b\right)}^{27/2}\,c^{11}+256\,a^9\,{\left(-b\right)}^{29/2}\,c^9+52\,a^6\,{\left(-b\right)}^{31/2}\,c^{11}+a^7\,{\left(-b\right)}^{29/2}\,c^{12}+416\,a^7\,{\left(-b\right)}^{31/2}\,c^{10}+40\,a^8\,{\left(-b\right)}^{29/2}\,c^{11}+256\,a^8\,{\left(-b\right)}^{31/2}\,c^9+96\,a^9\,{\left(-b\right)}^{29/2}\,c^{10}+a^6\,{\left(-b\right)}^{31/2}\,c^{12}+50\,a^7\,{\left(-b\right)}^{31/2}\,c^{11}+2\,a^8\,{\left(-b\right)}^{29/2}\,c^{12}+96\,a^8\,{\left(-b\right)}^{31/2}\,c^{10}+16\,a^9\,{\left(-b\right)}^{29/2}\,c^{11}+2\,a^7\,{\left(-b\right)}^{31/2}\,c^{12}+16\,a^8\,{\left(-b\right)}^{31/2}\,c^{11}+a^9\,{\left(-b\right)}^{29/2}\,c^{12}+a^8\,{\left(-b\right)}^{31/2}\,c^{12}-1152\,a\,{\left(-b\right)}^{19/2}\,c-18432\,a\,{\left(-b\right)}^{21/2}\,c+2\,a^6\,{\left(-b\right)}^{9/2}\,c-24\,a^5\,{\left(-b\right)}^{11/2}\,c+4\,a^7\,{\left(-b\right)}^{9/2}\,c+70\,a^4\,{\left(-b\right)}^{13/2}\,c-48\,a^6\,{\left(-b\right)}^{11/2}\,c+2\,a^8\,{\left(-b\right)}^{9/2}\,c-288\,a^3\,{\left(-b\right)}^{15/2}\,c+60\,a^5\,{\left(-b\right)}^{13/2}\,c-8\,a^7\,{\left(-b\right)}^{11/2}\,c+1536\,a^2\,{\left(-b\right)}^{17/2}\,c-656\,a^4\,{\left(-b\right)}^{15/2}\,c-378\,a^6\,{\left(-b\right)}^{13/2}\,c+32\,a^8\,{\left(-b\right)}^{11/2}\,c+8064\,a^3\,{\left(-b\right)}^{17/2}\,c+656\,a^5\,{\left(-b\right)}^{15/2}\,c-784\,a^7\,{\left(-b\right)}^{13/2}\,c+16\,a^9\,{\left(-b\right)}^{11/2}\,c-9600\,a^2\,{\left(-b\right)}^{19/2}\,c+16384\,a^4\,{\left(-b\right)}^{17/2}\,c+3280\,a^6\,{\left(-b\right)}^{15/2}\,c-544\,a^8\,{\left(-b\right)}^{13/2}\,c-30720\,a^3\,{\left(-b\right)}^{19/2}\,c+15616\,a^5\,{\left(-b\right)}^{17/2}\,c+3664\,a^7\,{\left(-b\right)}^{15/2}\,c-128\,a^9\,{\left(-b\right)}^{13/2}\,c-1152\,a\,{\left(-b\right)}^{21/2}\,c^2-46080\,a^2\,{\left(-b\right)}^{21/2}\,c-49920\,a^4\,{\left(-b\right)}^{19/2}\,c+6144\,a^6\,{\left(-b\right)}^{17/2}\,c+1664\,a^8\,{\left(-b\right)}^{15/2}\,c-61440\,a^3\,{\left(-b\right)}^{21/2}\,c-44160\,a^5\,{\left(-b\right)}^{19/2}\,c-128\,a^7\,{\left(-b\right)}^{17/2}\,c+256\,a^9\,{\left(-b\right)}^{15/2}\,c+46080\,a\,{\left(-b\right)}^{23/2}\,c^2-46080\,a^4\,{\left(-b\right)}^{21/2}\,c-20352\,a^6\,{\left(-b\right)}^{19/2}\,c-512\,a^8\,{\left(-b\right)}^{17/2}\,c+9600\,a\,{\left(-b\right)}^{23/2}\,c^3-18432\,a^5\,{\left(-b\right)}^{21/2}\,c-3840\,a^7\,{\left(-b\right)}^{19/2}\,c-3072\,a^6\,{\left(-b\right)}^{21/2}\,c-61440\,a\,{\left(-b\right)}^{25/2}\,c^3-17280\,a\,{\left(-b\right)}^{25/2}\,c^4+46080\,a\,{\left(-b\right)}^{27/2}\,c^4+14976\,a\,{\left(-b\right)}^{27/2}\,c^5-18432\,a\,{\left(-b\right)}^{29/2}\,c^5-6528\,a\,{\left(-b\right)}^{29/2}\,c^6+3072\,a\,{\left(-b\right)}^{31/2}\,c^6+1152\,a\,{\left(-b\right)}^{31/2}\,c^7\right)}{{\left(-b\right)}^{1/4}\,\left(a^{15}\,b^{17}\,c^9+9\,a^{14}\,b^{17}\,c^8+36\,a^{13}\,b^{17}\,c^7+84\,a^{12}\,b^{17}\,c^6+126\,a^{11}\,b^{17}\,c^5+126\,a^{10}\,b^{17}\,c^4+84\,a^9\,b^{17}\,c^3+36\,a^8\,b^{17}\,c^2+9\,a^7\,b^{17}\,c+a^6\,b^{17}\right)}+{\left(-\frac{4\,a\,b^3+b^3+6\,a^2\,b^3+4\,a^3\,b^3+a^4\,b^3+4\,a^2\,b^3\,c+6\,a^3\,b^3\,c+4\,a^4\,b^3\,c+a^5\,b^3\,c+a\,b^3\,c}{a^8\,b^4-a^9\,b^3}\right)}^{3/4}\,\left(\frac{64\,\left(36\,a^{12}\,{\left(-b\right)}^{25/4}-4\,a^{13}\,{\left(-b\right)}^{21/4}+48\,a^{13}\,{\left(-b\right)}^{25/4}-60\,a^{11}\,{\left(-b\right)}^{29/4}-240\,a^{12}\,{\left(-b\right)}^{29/4}-192\,a^{13}\,{\left(-b\right)}^{29/4}-180\,a^{10}\,{\left(-b\right)}^{33/4}-240\,a^{11}\,{\left(-b\right)}^{33/4}+192\,a^{12}\,{\left(-b\right)}^{33/4}+240\,a^9\,{\left(-b\right)}^{37/4}+256\,a^{13}\,{\left(-b\right)}^{33/4}+1200\,a^{10}\,{\left(-b\right)}^{37/4}+1728\,a^{11}\,{\left(-b\right)}^{37/4}+320\,a^8\,{\left(-b\right)}^{41/4}+768\,a^{12}\,{\left(-b\right)}^{37/4}+1152\,a^9\,{\left(-b\right)}^{41/4}+1344\,a^{10}\,{\left(-b\right)}^{41/4}+512\,a^{11}\,{\left(-b\right)}^{41/4}-144\,a^{13}\,{\left(-b\right)}^{29/4}\,c^2+912\,a^{12}\,{\left(-b\right)}^{33/4}\,c^2+1344\,a^{13}\,{\left(-b\right)}^{33/4}\,c^2+336\,a^{13}\,{\left(-b\right)}^{33/4}\,c^3-432\,a^{11}\,{\left(-b\right)}^{37/4}\,c^2-4032\,a^{12}\,{\left(-b\right)}^{37/4}\,c^2-1680\,a^{12}\,{\left(-b\right)}^{37/4}\,c^3-4032\,a^{13}\,{\left(-b\right)}^{37/4}\,c^2-4624\,a^{10}\,{\left(-b\right)}^{41/4}\,c^2-2688\,a^{13}\,{\left(-b\right)}^{37/4}\,c^3-9408\,a^{11}\,{\left(-b\right)}^{41/4}\,c^2-504\,a^{13}\,{\left(-b\right)}^{37/4}\,c^4-336\,a^{11}\,{\left(-b\right)}^{41/4}\,c^3-1344\,a^{12}\,{\left(-b\right)}^{41/4}\,c^2+3584\,a^9\,{\left(-b\right)}^{45/4}\,c^2+5376\,a^{12}\,{\left(-b\right)}^{41/4}\,c^3+3584\,a^{13}\,{\left(-b\right)}^{41/4}\,c^2+20160\,a^{10}\,{\left(-b\right)}^{45/4}\,c^2+1848\,a^{12}\,{\left(-b\right)}^{41/4}\,c^4+6720\,a^{13}\,{\left(-b\right)}^{41/4}\,c^3+8848\,a^{10}\,{\left(-b\right)}^{45/4}\,c^3+30912\,a^{11}\,{\left(-b\right)}^{45/4}\,c^2+3360\,a^{13}\,{\left(-b\right)}^{41/4}\,c^4+6720\,a^8\,{\left(-b\right)}^{49/4}\,c^2+21504\,a^{11}\,{\left(-b\right)}^{45/4}\,c^3+14336\,a^{12}\,{\left(-b\right)}^{45/4}\,c^2+504\,a^{13}\,{\left(-b\right)}^{41/4}\,c^5+24192\,a^9\,{\left(-b\right)}^{49/4}\,c^2+1848\,a^{11}\,{\left(-b\right)}^{45/4}\,c^4+9408\,a^{12}\,{\left(-b\right)}^{45/4}\,c^3-4032\,a^9\,{\left(-b\right)}^{49/4}\,c^3+28224\,a^{10}\,{\left(-b\right)}^{49/4}\,c^2-3360\,a^{12}\,{\left(-b\right)}^{45/4}\,c^4-3584\,a^{13}\,{\left(-b\right)}^{45/4}\,c^3-26880\,a^{10}\,{\left(-b\right)}^{49/4}\,c^3+10752\,a^{11}\,{\left(-b\right)}^{49/4}\,c^2-1176\,a^{12}\,{\left(-b\right)}^{45/4}\,c^5-6720\,a^{13}\,{\left(-b\right)}^{45/4}\,c^4-10584\,a^{10}\,{\left(-b\right)}^{49/4}\,c^4-44352\,a^{11}\,{\left(-b\right)}^{49/4}\,c^3-2688\,a^{13}\,{\left(-b\right)}^{45/4}\,c^5-11200\,a^8\,{\left(-b\right)}^{53/4}\,c^3-30240\,a^{11}\,{\left(-b\right)}^{49/4}\,c^4-21504\,a^{12}\,{\left(-b\right)}^{49/4}\,c^3-336\,a^{13}\,{\left(-b\right)}^{45/4}\,c^6-40320\,a^9\,{\left(-b\right)}^{53/4}\,c^3-2520\,a^{11}\,{\left(-b\right)}^{49/4}\,c^5-20160\,a^{12}\,{\left(-b\right)}^{49/4}\,c^4+1120\,a^9\,{\left(-b\right)}^{53/4}\,c^4-47040\,a^{10}\,{\left(-b\right)}^{53/4}\,c^3+16800\,a^{10}\,{\left(-b\right)}^{53/4}\,c^4-17920\,a^{11}\,{\left(-b\right)}^{53/4}\,c^3+336\,a^{12}\,{\left(-b\right)}^{49/4}\,c^6+4032\,a^{13}\,{\left(-b\right)}^{49/4}\,c^5+8120\,a^{10}\,{\left(-b\right)}^{53/4}\,c^5+33600\,a^{11}\,{\left(-b\right)}^{53/4}\,c^4+1344\,a^{13}\,{\left(-b\right)}^{49/4}\,c^6+11200\,a^8\,{\left(-b\right)}^{57/4}\,c^4+26880\,a^{11}\,{\left(-b\right)}^{53/4}\,c^5+17920\,a^{12}\,{\left(-b\right)}^{53/4}\,c^4+144\,a^{13}\,{\left(-b\right)}^{49/4}\,c^7+40320\,a^9\,{\left(-b\right)}^{57/4}\,c^4+1680\,a^{11}\,{\left(-b\right)}^{53/4}\,c^6+22848\,a^{12}\,{\left(-b\right)}^{53/4}\,c^5+2240\,a^9\,{\left(-b\right)}^{57/4}\,c^5+47040\,a^{10}\,{\left(-b\right)}^{57/4}\,c^4+1344\,a^{12}\,{\left(-b\right)}^{53/4}\,c^6+3584\,a^{13}\,{\left(-b\right)}^{53/4}\,c^5+17920\,a^{11}\,{\left(-b\right)}^{57/4}\,c^4+48\,a^{12}\,{\left(-b\right)}^{53/4}\,c^7-1344\,a^{13}\,{\left(-b\right)}^{53/4}\,c^6-3920\,a^{10}\,{\left(-b\right)}^{57/4}\,c^6-9408\,a^{11}\,{\left(-b\right)}^{57/4}\,c^5-384\,a^{13}\,{\left(-b\right)}^{53/4}\,c^7-6720\,a^8\,{\left(-b\right)}^{61/4}\,c^5-14784\,a^{11}\,{\left(-b\right)}^{57/4}\,c^6-7168\,a^{12}\,{\left(-b\right)}^{57/4}\,c^5-36\,a^{13}\,{\left(-b\right)}^{53/4}\,c^8-24192\,a^9\,{\left(-b\right)}^{61/4}\,c^5-528\,a^{11}\,{\left(-b\right)}^{57/4}\,c^7-14784\,a^{12}\,{\left(-b\right)}^{57/4}\,c^6-2688\,a^9\,{\left(-b\right)}^{61/4}\,c^6-28224\,a^{10}\,{\left(-b\right)}^{61/4}\,c^5-768\,a^{12}\,{\left(-b\right)}^{57/4}\,c^7-3584\,a^{13}\,{\left(-b\right)}^{57/4}\,c^6-6720\,a^{10}\,{\left(-b\right)}^{61/4}\,c^6-10752\,a^{11}\,{\left(-b\right)}^{61/4}\,c^5-60\,a^{12}\,{\left(-b\right)}^{57/4}\,c^8+192\,a^{13}\,{\left(-b\right)}^{57/4}\,c^7+1104\,a^{10}\,{\left(-b\right)}^{61/4}\,c^7-4032\,a^{11}\,{\left(-b\right)}^{61/4}\,c^6+48\,a^{13}\,{\left(-b\right)}^{57/4}\,c^8+2240\,a^8\,{\left(-b\right)}^{65/4}\,c^6+4608\,a^{11}\,{\left(-b\right)}^{61/4}\,c^7+4\,a^{13}\,{\left(-b\right)}^{57/4}\,c^9+8064\,a^9\,{\left(-b\right)}^{65/4}\,c^6+36\,a^{11}\,{\left(-b\right)}^{61/4}\,c^8+5184\,a^{12}\,{\left(-b\right)}^{61/4}\,c^7+1216\,a^9\,{\left(-b\right)}^{65/4}\,c^7+9408\,a^{10}\,{\left(-b\right)}^{65/4}\,c^6+144\,a^{12}\,{\left(-b\right)}^{61/4}\,c^8+1536\,a^{13}\,{\left(-b\right)}^{61/4}\,c^7+3840\,a^{10}\,{\left(-b\right)}^{65/4}\,c^7+3584\,a^{11}\,{\left(-b\right)}^{65/4}\,c^6+12\,a^{12}\,{\left(-b\right)}^{61/4}\,c^9-148\,a^{10}\,{\left(-b\right)}^{65/4}\,c^8+3648\,a^{11}\,{\left(-b\right)}^{65/4}\,c^7-320\,a^8\,{\left(-b\right)}^{69/4}\,c^7-624\,a^{11}\,{\left(-b\right)}^{65/4}\,c^8+1024\,a^{12}\,{\left(-b\right)}^{65/4}\,c^7-1152\,a^9\,{\left(-b\right)}^{69/4}\,c^7+12\,a^{11}\,{\left(-b\right)}^{65/4}\,c^9-768\,a^{12}\,{\left(-b\right)}^{65/4}\,c^8-208\,a^9\,{\left(-b\right)}^{69/4}\,c^8-1344\,a^{10}\,{\left(-b\right)}^{69/4}\,c^7-256\,a^{13}\,{\left(-b\right)}^{65/4}\,c^8-720\,a^{10}\,{\left(-b\right)}^{69/4}\,c^8-512\,a^{11}\,{\left(-b\right)}^{69/4}\,c^7+4\,a^{10}\,{\left(-b\right)}^{69/4}\,c^9-768\,a^{11}\,{\left(-b\right)}^{69/4}\,c^8-256\,a^{12}\,{\left(-b\right)}^{69/4}\,c^8+36\,a^{13}\,{\left(-b\right)}^{25/4}\,c-276\,a^{12}\,{\left(-b\right)}^{29/4}\,c-384\,a^{13}\,{\left(-b\right)}^{29/4}\,c+300\,a^{11}\,{\left(-b\right)}^{33/4}\,c+1536\,a^{12}\,{\left(-b\right)}^{33/4}\,c+1344\,a^{13}\,{\left(-b\right)}^{33/4}\,c+1380\,a^{10}\,{\left(-b\right)}^{37/4}\,c+2304\,a^{11}\,{\left(-b\right)}^{37/4}\,c-576\,a^{12}\,{\left(-b\right)}^{37/4}\,c-1472\,a^9\,{\left(-b\right)}^{41/4}\,c-1536\,a^{13}\,{\left(-b\right)}^{37/4}\,c-7680\,a^{10}\,{\left(-b\right)}^{41/4}\,c-11328\,a^{11}\,{\left(-b\right)}^{41/4}\,c-2240\,a^8\,{\left(-b\right)}^{45/4}\,c-5120\,a^{12}\,{\left(-b\right)}^{41/4}\,c-8064\,a^9\,{\left(-b\right)}^{45/4}\,c-9408\,a^{10}\,{\left(-b\right)}^{45/4}\,c-3584\,a^{11}\,{\left(-b\right)}^{45/4}\,c\right)}{a^{16}\,b^{18}\,c^9+9\,a^{15}\,b^{18}\,c^8+36\,a^{14}\,b^{18}\,c^7+84\,a^{13}\,b^{18}\,c^6+126\,a^{12}\,b^{18}\,c^5+126\,a^{11}\,b^{18}\,c^4+84\,a^{10}\,b^{18}\,c^3+36\,a^9\,b^{18}\,c^2+9\,a^8\,b^{18}\,c+a^7\,b^{18}}-\frac{{\left(-\frac{4\,a\,b^3+b^3+6\,a^2\,b^3+4\,a^3\,b^3+a^4\,b^3+4\,a^2\,b^3\,c+6\,a^3\,b^3\,c+4\,a^4\,b^3\,c+a^5\,b^3\,c+a\,b^3\,c}{a^8\,b^4-a^9\,b^3}\right)}^{1/4}\,{\left(-\frac{b\,x-1}{c+x}\right)}^{1/4}\,\left(16\,a^{13}\,{\left(-b\right)}^{11/2}-80\,a^{12}\,{\left(-b\right)}^{13/2}-80\,a^{11}\,{\left(-b\right)}^{15/2}-128\,a^{13}\,{\left(-b\right)}^{13/2}+400\,a^{10}\,{\left(-b\right)}^{17/2}+128\,a^{12}\,{\left(-b\right)}^{15/2}+896\,a^9\,{\left(-b\right)}^{19/2}+1152\,a^{11}\,{\left(-b\right)}^{17/2}+256\,a^{13}\,{\left(-b\right)}^{15/2}+512\,a^8\,{\left(-b\right)}^{21/2}+1920\,a^{10}\,{\left(-b\right)}^{19/2}+768\,a^{12}\,{\left(-b\right)}^{17/2}+1024\,a^9\,{\left(-b\right)}^{21/2}+1024\,a^{11}\,{\left(-b\right)}^{19/2}+512\,a^{10}\,{\left(-b\right)}^{21/2}+448\,a^{13}\,{\left(-b\right)}^{15/2}\,c^2-1344\,a^{12}\,{\left(-b\right)}^{17/2}\,c^2-2624\,a^{11}\,{\left(-b\right)}^{19/2}\,c^2-2688\,a^{13}\,{\left(-b\right)}^{17/2}\,c^2+1088\,a^{10}\,{\left(-b\right)}^{21/2}\,c^2+128\,a^{12}\,{\left(-b\right)}^{19/2}\,c^2-896\,a^{13}\,{\left(-b\right)}^{17/2}\,c^3+9600\,a^9\,{\left(-b\right)}^{23/2}\,c^2+9344\,a^{11}\,{\left(-b\right)}^{21/2}\,c^2+1792\,a^{12}\,{\left(-b\right)}^{19/2}\,c^3+4096\,a^{13}\,{\left(-b\right)}^{19/2}\,c^2+7680\,a^8\,{\left(-b\right)}^{25/2}\,c^2+21888\,a^{10}\,{\left(-b\right)}^{23/2}\,c^2+4096\,a^{11}\,{\left(-b\right)}^{21/2}\,c^3+8704\,a^{12}\,{\left(-b\right)}^{21/2}\,c^2+4480\,a^{13}\,{\left(-b\right)}^{19/2}\,c^3+15360\,a^9\,{\left(-b\right)}^{25/2}\,c^2+3328\,a^{10}\,{\left(-b\right)}^{23/2}\,c^3+12288\,a^{11}\,{\left(-b\right)}^{23/2}\,c^2+128\,a^{12}\,{\left(-b\right)}^{21/2}\,c^3+1120\,a^{13}\,{\left(-b\right)}^{19/2}\,c^4-8320\,a^9\,{\left(-b\right)}^{25/2}\,c^3+7680\,a^{10}\,{\left(-b\right)}^{25/2}\,c^2-4992\,a^{11}\,{\left(-b\right)}^{23/2}\,c^3-1120\,a^{12}\,{\left(-b\right)}^{21/2}\,c^4-6656\,a^{13}\,{\left(-b\right)}^{21/2}\,c^3-10240\,a^8\,{\left(-b\right)}^{27/2}\,c^3-21120\,a^{10}\,{\left(-b\right)}^{25/2}\,c^3-2400\,a^{11}\,{\left(-b\right)}^{23/2}\,c^4-9216\,a^{12}\,{\left(-b\right)}^{23/2}\,c^3-4480\,a^{13}\,{\left(-b\right)}^{21/2}\,c^4-20480\,a^9\,{\left(-b\right)}^{27/2}\,c^3-7200\,a^{10}\,{\left(-b\right)}^{25/2}\,c^4-12800\,a^{11}\,{\left(-b\right)}^{25/2}\,c^3+1920\,a^{12}\,{\left(-b\right)}^{23/2}\,c^4-896\,a^{13}\,{\left(-b\right)}^{21/2}\,c^5+640\,a^9\,{\left(-b\right)}^{27/2}\,c^4-10240\,a^{10}\,{\left(-b\right)}^{27/2}\,c^3-3200\,a^{11}\,{\left(-b\right)}^{25/2}\,c^4+7680\,a^{13}\,{\left(-b\right)}^{23/2}\,c^4+7680\,a^8\,{\left(-b\right)}^{29/2}\,c^4+5760\,a^{10}\,{\left(-b\right)}^{27/2}\,c^4-1280\,a^{11}\,{\left(-b\right)}^{25/2}\,c^5+5120\,a^{12}\,{\left(-b\right)}^{25/2}\,c^4+2688\,a^{13}\,{\left(-b\right)}^{23/2}\,c^5+15360\,a^9\,{\left(-b\right)}^{29/2}\,c^4+5120\,a^{10}\,{\left(-b\right)}^{27/2}\,c^5+5120\,a^{11}\,{\left(-b\right)}^{27/2}\,c^4-5248\,a^{12}\,{\left(-b\right)}^{25/2}\,c^5+448\,a^{13}\,{\left(-b\right)}^{23/2}\,c^6+4224\,a^9\,{\left(-b\right)}^{29/2}\,c^5+7680\,a^{10}\,{\left(-b\right)}^{29/2}\,c^4+3968\,a^{11}\,{\left(-b\right)}^{27/2}\,c^5+448\,a^{12}\,{\left(-b\right)}^{25/2}\,c^6-6656\,a^{13}\,{\left(-b\right)}^{25/2}\,c^5-3072\,a^8\,{\left(-b\right)}^{31/2}\,c^5+5760\,a^{10}\,{\left(-b\right)}^{29/2}\,c^5+2752\,a^{11}\,{\left(-b\right)}^{27/2}\,c^6-2048\,a^{12}\,{\left(-b\right)}^{27/2}\,c^5-896\,a^{13}\,{\left(-b\right)}^{25/2}\,c^6-6144\,a^9\,{\left(-b\right)}^{31/2}\,c^5-704\,a^{10}\,{\left(-b\right)}^{29/2}\,c^6+1536\,a^{11}\,{\left(-b\right)}^{29/2}\,c^5+5504\,a^{12}\,{\left(-b\right)}^{27/2}\,c^6-128\,a^{13}\,{\left(-b\right)}^{25/2}\,c^7-2944\,a^9\,{\left(-b\right)}^{31/2}\,c^6-3072\,a^{10}\,{\left(-b\right)}^{31/2}\,c^5+384\,a^{11}\,{\left(-b\right)}^{29/2}\,c^6-256\,a^{12}\,{\left(-b\right)}^{27/2}\,c^7+4096\,a^{13}\,{\left(-b\right)}^{27/2}\,c^6+512\,a^8\,{\left(-b\right)}^{33/2}\,c^6-4992\,a^{10}\,{\left(-b\right)}^{31/2}\,c^6-1536\,a^{11}\,{\left(-b\right)}^{29/2}\,c^7+1536\,a^{12}\,{\left(-b\right)}^{29/2}\,c^6+128\,a^{13}\,{\left(-b\right)}^{27/2}\,c^7+1024\,a^9\,{\left(-b\right)}^{33/2}\,c^6-768\,a^{10}\,{\left(-b\right)}^{31/2}\,c^7-2048\,a^{11}\,{\left(-b\right)}^{31/2}\,c^6-2688\,a^{12}\,{\left(-b\right)}^{29/2}\,c^7+16\,a^{13}\,{\left(-b\right)}^{27/2}\,c^8+640\,a^9\,{\left(-b\right)}^{33/2}\,c^7+512\,a^{10}\,{\left(-b\right)}^{33/2}\,c^6-1664\,a^{11}\,{\left(-b\right)}^{31/2}\,c^7+48\,a^{12}\,{\left(-b\right)}^{29/2}\,c^8-1536\,a^{13}\,{\left(-b\right)}^{29/2}\,c^7+1152\,a^{10}\,{\left(-b\right)}^{33/2}\,c^7+304\,a^{11}\,{\left(-b\right)}^{31/2}\,c^8-1024\,a^{12}\,{\left(-b\right)}^{31/2}\,c^7+272\,a^{10}\,{\left(-b\right)}^{33/2}\,c^8+512\,a^{11}\,{\left(-b\right)}^{33/2}\,c^7+512\,a^{12}\,{\left(-b\right)}^{31/2}\,c^8+512\,a^{11}\,{\left(-b\right)}^{33/2}\,c^8+256\,a^{13}\,{\left(-b\right)}^{31/2}\,c^8+256\,a^{12}\,{\left(-b\right)}^{33/2}\,c^8-128\,a^{13}\,{\left(-b\right)}^{13/2}\,c+512\,a^{12}\,{\left(-b\right)}^{15/2}\,c+768\,a^{11}\,{\left(-b\right)}^{17/2}\,c+896\,a^{13}\,{\left(-b\right)}^{15/2}\,c-1536\,a^{10}\,{\left(-b\right)}^{19/2}\,c-384\,a^{12}\,{\left(-b\right)}^{17/2}\,c-4736\,a^9\,{\left(-b\right)}^{21/2}\,c-5504\,a^{11}\,{\left(-b\right)}^{19/2}\,c-1536\,a^{13}\,{\left(-b\right)}^{17/2}\,c-3072\,a^8\,{\left(-b\right)}^{23/2}\,c-10368\,a^{10}\,{\left(-b\right)}^{21/2}\,c-4096\,a^{12}\,{\left(-b\right)}^{19/2}\,c-6144\,a^9\,{\left(-b\right)}^{23/2}\,c-5632\,a^{11}\,{\left(-b\right)}^{21/2}\,c-3072\,a^{10}\,{\left(-b\right)}^{23/2}\,c\right)\,64{}\mathrm{i}}{{\left(-b\right)}^{1/4}\,\left(a^{15}\,b^{17}\,c^9+9\,a^{14}\,b^{17}\,c^8+36\,a^{13}\,b^{17}\,c^7+84\,a^{12}\,b^{17}\,c^6+126\,a^{11}\,b^{17}\,c^5+126\,a^{10}\,b^{17}\,c^4+84\,a^9\,b^{17}\,c^3+36\,a^8\,b^{17}\,c^2+9\,a^7\,b^{17}\,c+a^6\,b^{17}\right)}\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}+{\left(-\frac{4\,a\,b^3+b^3+6\,a^2\,b^3+4\,a^3\,b^3+a^4\,b^3+4\,a^2\,b^3\,c+6\,a^3\,b^3\,c+4\,a^4\,b^3\,c+a^5\,b^3\,c+a\,b^3\,c}{a^8\,b^4-a^9\,b^3}\right)}^{1/4}\,\left(\frac{64\,{\left(-\frac{b\,x-1}{c+x}\right)}^{1/4}\,\left(512\,{\left(-b\right)}^{19/2}+a^5\,{\left(-b\right)}^{9/2}+a^4\,{\left(-b\right)}^{11/2}+2\,a^6\,{\left(-b\right)}^{9/2}-16\,a^3\,{\left(-b\right)}^{13/2}+18\,a^5\,{\left(-b\right)}^{11/2}+a^7\,{\left(-b\right)}^{9/2}-144\,a^2\,{\left(-b\right)}^{15/2}-176\,a^4\,{\left(-b\right)}^{13/2}+49\,a^6\,{\left(-b\right)}^{11/2}-576\,a^3\,{\left(-b\right)}^{15/2}-560\,a^5\,{\left(-b\right)}^{13/2}+48\,a^7\,{\left(-b\right)}^{11/2}+2688\,a^2\,{\left(-b\right)}^{17/2}-608\,a^4\,{\left(-b\right)}^{15/2}-784\,a^6\,{\left(-b\right)}^{13/2}+16\,a^8\,{\left(-b\right)}^{11/2}+7680\,a^3\,{\left(-b\right)}^{17/2}+448\,a^5\,{\left(-b\right)}^{15/2}-512\,a^7\,{\left(-b\right)}^{13/2}+7680\,a^2\,{\left(-b\right)}^{19/2}+11520\,a^4\,{\left(-b\right)}^{17/2}+1392\,a^6\,{\left(-b\right)}^{15/2}-128\,a^8\,{\left(-b\right)}^{13/2}+10240\,a^3\,{\left(-b\right)}^{19/2}+9600\,a^5\,{\left(-b\right)}^{17/2}+1024\,a^7\,{\left(-b\right)}^{15/2}+7680\,a^4\,{\left(-b\right)}^{19/2}+4224\,a^6\,{\left(-b\right)}^{17/2}+256\,a^8\,{\left(-b\right)}^{15/2}+3072\,a^5\,{\left(-b\right)}^{19/2}+768\,a^7\,{\left(-b\right)}^{17/2}+512\,a^6\,{\left(-b\right)}^{19/2}+7680\,{\left(-b\right)}^{23/2}\,c^2-10240\,{\left(-b\right)}^{25/2}\,c^3+7680\,{\left(-b\right)}^{27/2}\,c^4-3072\,{\left(-b\right)}^{29/2}\,c^5+512\,{\left(-b\right)}^{31/2}\,c^6+384\,a\,{\left(-b\right)}^{17/2}+3072\,a\,{\left(-b\right)}^{19/2}-3072\,{\left(-b\right)}^{21/2}\,c+a^7\,{\left(-b\right)}^{9/2}\,c^2-35\,a^6\,{\left(-b\right)}^{11/2}\,c^2+2\,a^8\,{\left(-b\right)}^{9/2}\,c^2+265\,a^5\,{\left(-b\right)}^{13/2}\,c^2-86\,a^7\,{\left(-b\right)}^{11/2}\,c^2+a^9\,{\left(-b\right)}^{9/2}\,c^2-851\,a^4\,{\left(-b\right)}^{15/2}\,c^2+738\,a^6\,{\left(-b\right)}^{13/2}\,c^2-10\,a^7\,{\left(-b\right)}^{11/2}\,c^3-67\,a^8\,{\left(-b\right)}^{11/2}\,c^2+2496\,a^3\,{\left(-b\right)}^{17/2}\,c^2-2566\,a^5\,{\left(-b\right)}^{15/2}\,c^2+224\,a^6\,{\left(-b\right)}^{13/2}\,c^3+649\,a^7\,{\left(-b\right)}^{13/2}\,c^2-20\,a^8\,{\left(-b\right)}^{11/2}\,c^3-16\,a^9\,{\left(-b\right)}^{11/2}\,c^2-5184\,a^2\,{\left(-b\right)}^{19/2}\,c^2+10432\,a^4\,{\left(-b\right)}^{17/2}\,c^2-1358\,a^5\,{\left(-b\right)}^{15/2}\,c^3-1907\,a^6\,{\left(-b\right)}^{15/2}\,c^2+592\,a^7\,{\left(-b\right)}^{13/2}\,c^3+144\,a^8\,{\left(-b\right)}^{13/2}\,c^2-10\,a^9\,{\left(-b\right)}^{11/2}\,c^3-31104\,a^3\,{\left(-b\right)}^{19/2}\,c^2+3784\,a^4\,{\left(-b\right)}^{17/2}\,c^3+14912\,a^5\,{\left(-b\right)}^{17/2}\,c^2-4364\,a^6\,{\left(-b\right)}^{15/2}\,c^3+45\,a^7\,{\left(-b\right)}^{13/2}\,c^4+1120\,a^7\,{\left(-b\right)}^{15/2}\,c^2+512\,a^8\,{\left(-b\right)}^{13/2}\,c^3-32\,a^9\,{\left(-b\right)}^{13/2}\,c^2+1152\,a^2\,{\left(-b\right)}^{21/2}\,c^2-7552\,a^3\,{\left(-b\right)}^{19/2}\,c^3-74624\,a^4\,{\left(-b\right)}^{19/2}\,c^2+14288\,a^5\,{\left(-b\right)}^{17/2}\,c^3-771\,a^6\,{\left(-b\right)}^{15/2}\,c^4+5824\,a^6\,{\left(-b\right)}^{17/2}\,c^2-4974\,a^7\,{\left(-b\right)}^{15/2}\,c^3+90\,a^8\,{\left(-b\right)}^{13/2}\,c^4+1952\,a^8\,{\left(-b\right)}^{15/2}\,c^2+144\,a^9\,{\left(-b\right)}^{13/2}\,c^3+6912\,a^2\,{\left(-b\right)}^{21/2}\,c^3+23040\,a^3\,{\left(-b\right)}^{21/2}\,c^2-36800\,a^4\,{\left(-b\right)}^{19/2}\,c^3+3874\,a^5\,{\left(-b\right)}^{17/2}\,c^4-91136\,a^5\,{\left(-b\right)}^{19/2}\,c^2+19144\,a^6\,{\left(-b\right)}^{17/2}\,c^3-2118\,a^7\,{\left(-b\right)}^{15/2}\,c^4-5120\,a^7\,{\left(-b\right)}^{17/2}\,c^2-2288\,a^8\,{\left(-b\right)}^{15/2}\,c^3+45\,a^9\,{\left(-b\right)}^{13/2}\,c^4+640\,a^9\,{\left(-b\right)}^{15/2}\,c^2+115200\,a^2\,{\left(-b\right)}^{23/2}\,c^2+49536\,a^3\,{\left(-b\right)}^{21/2}\,c^3-8750\,a^4\,{\left(-b\right)}^{19/2}\,c^4+57600\,a^4\,{\left(-b\right)}^{21/2}\,c^2-68032\,a^5\,{\left(-b\right)}^{19/2}\,c^3+13444\,a^6\,{\left(-b\right)}^{17/2}\,c^4-58944\,a^6\,{\left(-b\right)}^{19/2}\,c^2-120\,a^7\,{\left(-b\right)}^{15/2}\,c^5+9664\,a^7\,{\left(-b\right)}^{17/2}\,c^3-1923\,a^8\,{\left(-b\right)}^{15/2}\,c^4-5248\,a^8\,{\left(-b\right)}^{17/2}\,c^2-320\,a^9\,{\left(-b\right)}^{15/2}\,c^3+44160\,a^2\,{\left(-b\right)}^{23/2}\,c^3+11040\,a^3\,{\left(-b\right)}^{21/2}\,c^4+153600\,a^3\,{\left(-b\right)}^{23/2}\,c^2+137728\,a^4\,{\left(-b\right)}^{21/2}\,c^3-36988\,a^5\,{\left(-b\right)}^{19/2}\,c^4+63360\,a^5\,{\left(-b\right)}^{21/2}\,c^2+1644\,a^6\,{\left(-b\right)}^{17/2}\,c^5-56512\,a^6\,{\left(-b\right)}^{19/2}\,c^3+17058\,a^7\,{\left(-b\right)}^{17/2}\,c^4-18560\,a^7\,{\left(-b\right)}^{19/2}\,c^2-240\,a^8\,{\left(-b\right)}^{15/2}\,c^5+128\,a^8\,{\left(-b\right)}^{17/2}\,c^3-576\,a^9\,{\left(-b\right)}^{15/2}\,c^4-1280\,a^9\,{\left(-b\right)}^{17/2}\,c^2-480\,a^2\,{\left(-b\right)}^{23/2}\,c^4+76800\,a^3\,{\left(-b\right)}^{23/2}\,c^3+60640\,a^4\,{\left(-b\right)}^{21/2}\,c^4+115200\,a^4\,{\left(-b\right)}^{23/2}\,c^2-6776\,a^5\,{\left(-b\right)}^{19/2}\,c^5+193792\,a^5\,{\left(-b\right)}^{21/2}\,c^3-59150\,a^6\,{\left(-b\right)}^{19/2}\,c^4+33408\,a^6\,{\left(-b\right)}^{21/2}\,c^2+4632\,a^7\,{\left(-b\right)}^{17/2}\,c^5-16064\,a^7\,{\left(-b\right)}^{19/2}\,c^3+9280\,a^8\,{\left(-b\right)}^{17/2}\,c^4-2048\,a^8\,{\left(-b\right)}^{19/2}\,c^2-120\,a^9\,{\left(-b\right)}^{15/2}\,c^5-896\,a^9\,{\left(-b\right)}^{17/2}\,c^3-153600\,a^2\,{\left(-b\right)}^{25/2}\,c^3-23040\,a^3\,{\left(-b\right)}^{23/2}\,c^4+11620\,a^4\,{\left(-b\right)}^{21/2}\,c^5+57600\,a^4\,{\left(-b\right)}^{23/2}\,c^3+128864\,a^5\,{\left(-b\right)}^{21/2}\,c^4+46080\,a^5\,{\left(-b\right)}^{23/2}\,c^2-24752\,a^6\,{\left(-b\right)}^{19/2}\,c^5+146688\,a^6\,{\left(-b\right)}^{21/2}\,c^3+210\,a^7\,{\left(-b\right)}^{17/2}\,c^6-43232\,a^7\,{\left(-b\right)}^{19/2}\,c^4+6912\,a^7\,{\left(-b\right)}^{21/2}\,c^2+4332\,a^8\,{\left(-b\right)}^{17/2}\,c^5+3968\,a^8\,{\left(-b\right)}^{19/2}\,c^3+1792\,a^9\,{\left(-b\right)}^{17/2}\,c^4-90240\,a^2\,{\left(-b\right)}^{25/2}\,c^4-7104\,a^3\,{\left(-b\right)}^{23/2}\,c^5-204800\,a^3\,{\left(-b\right)}^{25/2}\,c^3-100160\,a^4\,{\left(-b\right)}^{23/2}\,c^4+53480\,a^5\,{\left(-b\right)}^{21/2}\,c^5+9600\,a^5\,{\left(-b\right)}^{23/2}\,c^3-2310\,a^6\,{\left(-b\right)}^{19/2}\,c^6+131872\,a^6\,{\left(-b\right)}^{21/2}\,c^4+7680\,a^6\,{\left(-b\right)}^{23/2}\,c^2-33432\,a^7\,{\left(-b\right)}^{19/2}\,c^5+56704\,a^7\,{\left(-b\right)}^{21/2}\,c^3+420\,a^8\,{\left(-b\right)}^{17/2}\,c^6-13216\,a^8\,{\left(-b\right)}^{19/2}\,c^4+1344\,a^9\,{\left(-b\right)}^{17/2}\,c^5+2304\,a^9\,{\left(-b\right)}^{19/2}\,c^3-9216\,a^2\,{\left(-b\right)}^{25/2}\,c^5-192000\,a^3\,{\left(-b\right)}^{25/2}\,c^4-48224\,a^4\,{\left(-b\right)}^{23/2}\,c^5-153600\,a^4\,{\left(-b\right)}^{25/2}\,c^3+7546\,a^5\,{\left(-b\right)}^{21/2}\,c^6-179840\,a^5\,{\left(-b\right)}^{23/2}\,c^4+94948\,a^6\,{\left(-b\right)}^{21/2}\,c^5-9600\,a^6\,{\left(-b\right)}^{23/2}\,c^3-6636\,a^7\,{\left(-b\right)}^{19/2}\,c^6+63232\,a^7\,{\left(-b\right)}^{21/2}\,c^4-19712\,a^8\,{\left(-b\right)}^{19/2}\,c^5+8704\,a^8\,{\left(-b\right)}^{21/2}\,c^3+210\,a^9\,{\left(-b\right)}^{17/2}\,c^6-896\,a^9\,{\left(-b\right)}^{19/2}\,c^4+115200\,a^2\,{\left(-b\right)}^{27/2}\,c^4-31104\,a^3\,{\left(-b\right)}^{25/2}\,c^5-8750\,a^4\,{\left(-b\right)}^{23/2}\,c^6-211200\,a^4\,{\left(-b\right)}^{25/2}\,c^4-121120\,a^5\,{\left(-b\right)}^{23/2}\,c^5-61440\,a^5\,{\left(-b\right)}^{25/2}\,c^3+28756\,a^6\,{\left(-b\right)}^{21/2}\,c^6-161760\,a^6\,{\left(-b\right)}^{23/2}\,c^4-252\,a^7\,{\left(-b\right)}^{19/2}\,c^7+80416\,a^7\,{\left(-b\right)}^{21/2}\,c^5-3840\,a^7\,{\left(-b\right)}^{23/2}\,c^3-6342\,a^8\,{\left(-b\right)}^{19/2}\,c^6+9344\,a^8\,{\left(-b\right)}^{21/2}\,c^4-4256\,a^9\,{\left(-b\right)}^{19/2}\,c^5+81792\,a^2\,{\left(-b\right)}^{27/2}\,c^5-832\,a^3\,{\left(-b\right)}^{25/2}\,c^6+153600\,a^3\,{\left(-b\right)}^{27/2}\,c^4-23552\,a^4\,{\left(-b\right)}^{25/2}\,c^5-44380\,a^5\,{\left(-b\right)}^{23/2}\,c^6-124800\,a^5\,{\left(-b\right)}^{25/2}\,c^4+2184\,a^6\,{\left(-b\right)}^{21/2}\,c^7-146336\,a^6\,{\left(-b\right)}^{23/2}\,c^5-10240\,a^6\,{\left(-b\right)}^{25/2}\,c^3+40698\,a^7\,{\left(-b\right)}^{21/2}\,c^6-72320\,a^7\,{\left(-b\right)}^{23/2}\,c^4-504\,a^8\,{\left(-b\right)}^{19/2}\,c^7+31808\,a^8\,{\left(-b\right)}^{21/2}\,c^5-2016\,a^9\,{\left(-b\right)}^{19/2}\,c^6-1280\,a^9\,{\left(-b\right)}^{21/2}\,c^4+10944\,a^2\,{\left(-b\right)}^{27/2}\,c^6+184320\,a^3\,{\left(-b\right)}^{27/2}\,c^5+8896\,a^4\,{\left(-b\right)}^{25/2}\,c^6+115200\,a^4\,{\left(-b\right)}^{27/2}\,c^4-5300\,a^5\,{\left(-b\right)}^{23/2}\,c^7+32512\,a^5\,{\left(-b\right)}^{25/2}\,c^5-86702\,a^6\,{\left(-b\right)}^{23/2}\,c^6-36480\,a^6\,{\left(-b\right)}^{25/2}\,c^4+6384\,a^7\,{\left(-b\right)}^{21/2}\,c^7-87968\,a^7\,{\left(-b\right)}^{23/2}\,c^5+25312\,a^8\,{\left(-b\right)}^{21/2}\,c^6-12800\,a^8\,{\left(-b\right)}^{23/2}\,c^4-252\,a^9\,{\left(-b\right)}^{19/2}\,c^7+4480\,a^9\,{\left(-b\right)}^{21/2}\,c^5-46080\,a^2\,{\left(-b\right)}^{29/2}\,c^5+49536\,a^3\,{\left(-b\right)}^{27/2}\,c^6+3016\,a^4\,{\left(-b\right)}^{25/2}\,c^7+218880\,a^4\,{\left(-b\right)}^{27/2}\,c^5+44864\,a^5\,{\left(-b\right)}^{25/2}\,c^6+46080\,a^5\,{\left(-b\right)}^{27/2}\,c^4-21128\,a^6\,{\left(-b\right)}^{23/2}\,c^7+66048\,a^6\,{\left(-b\right)}^{25/2}\,c^5+210\,a^7\,{\left(-b\right)}^{21/2}\,c^8-81536\,a^7\,{\left(-b\right)}^{23/2}\,c^6-3840\,a^7\,{\left(-b\right)}^{25/2}\,c^4+6216\,a^8\,{\left(-b\right)}^{21/2}\,c^7-22912\,a^8\,{\left(-b\right)}^{23/2}\,c^5+5824\,a^9\,{\left(-b\right)}^{21/2}\,c^6-36480\,a^2\,{\left(-b\right)}^{29/2}\,c^6+4224\,a^3\,{\left(-b\right)}^{27/2}\,c^7-61440\,a^3\,{\left(-b\right)}^{29/2}\,c^5+86656\,a^4\,{\left(-b\right)}^{27/2}\,c^6+18896\,a^5\,{\left(-b\right)}^{25/2}\,c^7+144000\,a^5\,{\left(-b\right)}^{27/2}\,c^5-1374\,a^6\,{\left(-b\right)}^{23/2}\,c^8+75200\,a^6\,{\left(-b\right)}^{25/2}\,c^6+7680\,a^6\,{\left(-b\right)}^{27/2}\,c^4-31284\,a^7\,{\left(-b\right)}^{23/2}\,c^7+40576\,a^7\,{\left(-b\right)}^{25/2}\,c^5+420\,a^8\,{\left(-b\right)}^{21/2}\,c^8-36736\,a^8\,{\left(-b\right)}^{23/2}\,c^6+2016\,a^9\,{\left(-b\right)}^{21/2}\,c^7-1280\,a^9\,{\left(-b\right)}^{23/2}\,c^5-5376\,a^2\,{\left(-b\right)}^{29/2}\,c^7-84480\,a^3\,{\left(-b\right)}^{29/2}\,c^6+13888\,a^4\,{\left(-b\right)}^{27/2}\,c^7-46080\,a^4\,{\left(-b\right)}^{29/2}\,c^5+2173\,a^5\,{\left(-b\right)}^{25/2}\,c^8+70144\,a^5\,{\left(-b\right)}^{27/2}\,c^6+42952\,a^6\,{\left(-b\right)}^{25/2}\,c^7+49536\,a^6\,{\left(-b\right)}^{27/2}\,c^5-4092\,a^7\,{\left(-b\right)}^{23/2}\,c^8+57856\,a^7\,{\left(-b\right)}^{25/2}\,c^6-20384\,a^8\,{\left(-b\right)}^{23/2}\,c^7+8704\,a^8\,{\left(-b\right)}^{25/2}\,c^5+210\,a^9\,{\left(-b\right)}^{21/2}\,c^8-6272\,a^9\,{\left(-b\right)}^{23/2}\,c^6+7680\,a^2\,{\left(-b\right)}^{31/2}\,c^6-26496\,a^3\,{\left(-b\right)}^{29/2}\,c^7+301\,a^4\,{\left(-b\right)}^{27/2}\,c^8-103680\,a^4\,{\left(-b\right)}^{29/2}\,c^6+12608\,a^5\,{\left(-b\right)}^{27/2}\,c^7-18432\,a^5\,{\left(-b\right)}^{29/2}\,c^5+9274\,a^6\,{\left(-b\right)}^{25/2}\,c^8+21696\,a^6\,{\left(-b\right)}^{27/2}\,c^6-120\,a^7\,{\left(-b\right)}^{23/2}\,c^9+45760\,a^7\,{\left(-b\right)}^{25/2}\,c^7+6912\,a^7\,{\left(-b\right)}^{27/2}\,c^5-4062\,a^8\,{\left(-b\right)}^{23/2}\,c^8+20096\,a^8\,{\left(-b\right)}^{25/2}\,c^6-4928\,a^9\,{\left(-b\right)}^{23/2}\,c^7+6528\,a^2\,{\left(-b\right)}^{31/2}\,c^7-2448\,a^3\,{\left(-b\right)}^{29/2}\,c^8+10240\,a^3\,{\left(-b\right)}^{31/2}\,c^6-52736\,a^4\,{\left(-b\right)}^{29/2}\,c^7-1558\,a^5\,{\left(-b\right)}^{27/2}\,c^8-71040\,a^5\,{\left(-b\right)}^{29/2}\,c^6+546\,a^6\,{\left(-b\right)}^{25/2}\,c^9-4544\,a^6\,{\left(-b\right)}^{27/2}\,c^7-3072\,a^6\,{\left(-b\right)}^{29/2}\,c^5+14589\,a^7\,{\left(-b\right)}^{25/2}\,c^8-2432\,a^7\,{\left(-b\right)}^{27/2}\,c^6-240\,a^8\,{\left(-b\right)}^{23/2}\,c^9+23168\,a^8\,{\left(-b\right)}^{25/2}\,c^7-1344\,a^9\,{\left(-b\right)}^{23/2}\,c^8+2304\,a^9\,{\left(-b\right)}^{25/2}\,c^6+1008\,a^2\,{\left(-b\right)}^{31/2}\,c^8+15360\,a^3\,{\left(-b\right)}^{31/2}\,c^7-10160\,a^4\,{\left(-b\right)}^{29/2}\,c^8+7680\,a^4\,{\left(-b\right)}^{31/2}\,c^6-384\,a^5\,{\left(-b\right)}^{27/2}\,c^9-53504\,a^5\,{\left(-b\right)}^{29/2}\,c^7-8099\,a^6\,{\left(-b\right)}^{27/2}\,c^8-25728\,a^6\,{\left(-b\right)}^{29/2}\,c^6+1668\,a^7\,{\left(-b\right)}^{25/2}\,c^9-13760\,a^7\,{\left(-b\right)}^{27/2}\,c^7+10048\,a^8\,{\left(-b\right)}^{25/2}\,c^8-2048\,a^8\,{\left(-b\right)}^{27/2}\,c^6-120\,a^9\,{\left(-b\right)}^{23/2}\,c^9+4480\,a^9\,{\left(-b\right)}^{25/2}\,c^7+5184\,a^3\,{\left(-b\right)}^{31/2}\,c^8-570\,a^4\,{\left(-b\right)}^{29/2}\,c^9+19200\,a^4\,{\left(-b\right)}^{31/2}\,c^7-16048\,a^5\,{\left(-b\right)}^{29/2}\,c^8+3072\,a^5\,{\left(-b\right)}^{31/2}\,c^6-1984\,a^6\,{\left(-b\right)}^{27/2}\,c^9-28416\,a^6\,{\left(-b\right)}^{29/2}\,c^7+45\,a^7\,{\left(-b\right)}^{25/2}\,c^{10}-11984\,a^7\,{\left(-b\right)}^{27/2}\,c^8-3840\,a^7\,{\left(-b\right)}^{29/2}\,c^6+1698\,a^8\,{\left(-b\right)}^{25/2}\,c^9-7552\,a^8\,{\left(-b\right)}^{27/2}\,c^7+2560\,a^9\,{\left(-b\right)}^{25/2}\,c^8+480\,a^3\,{\left(-b\right)}^{31/2}\,c^9+10912\,a^4\,{\left(-b\right)}^{31/2}\,c^8-1732\,a^5\,{\left(-b\right)}^{29/2}\,c^9+13440\,a^5\,{\left(-b\right)}^{31/2}\,c^7-119\,a^6\,{\left(-b\right)}^{27/2}\,c^{10}-11408\,a^6\,{\left(-b\right)}^{29/2}\,c^8+512\,a^6\,{\left(-b\right)}^{31/2}\,c^6-3568\,a^7\,{\left(-b\right)}^{27/2}\,c^9-7040\,a^7\,{\left(-b\right)}^{29/2}\,c^7+90\,a^8\,{\left(-b\right)}^{25/2}\,c^{10}-7408\,a^8\,{\left(-b\right)}^{27/2}\,c^8+576\,a^9\,{\left(-b\right)}^{25/2}\,c^9-1280\,a^9\,{\left(-b\right)}^{27/2}\,c^7+2160\,a^4\,{\left(-b\right)}^{31/2}\,c^9-35\,a^5\,{\left(-b\right)}^{29/2}\,c^{10}+11968\,a^5\,{\left(-b\right)}^{31/2}\,c^8-1530\,a^6\,{\left(-b\right)}^{29/2}\,c^9+4992\,a^6\,{\left(-b\right)}^{31/2}\,c^7-382\,a^7\,{\left(-b\right)}^{27/2}\,c^{10}-2816\,a^7\,{\left(-b\right)}^{29/2}\,c^8-2720\,a^8\,{\left(-b\right)}^{27/2}\,c^9-512\,a^8\,{\left(-b\right)}^{29/2}\,c^7+45\,a^9\,{\left(-b\right)}^{25/2}\,c^{10}-1664\,a^9\,{\left(-b\right)}^{27/2}\,c^8+129\,a^4\,{\left(-b\right)}^{31/2}\,c^{10}+3856\,a^5\,{\left(-b\right)}^{31/2}\,c^9+10\,a^6\,{\left(-b\right)}^{29/2}\,c^{10}+7152\,a^6\,{\left(-b\right)}^{31/2}\,c^8-10\,a^7\,{\left(-b\right)}^{27/2}\,c^{11}+112\,a^7\,{\left(-b\right)}^{29/2}\,c^9+768\,a^7\,{\left(-b\right)}^{31/2}\,c^7-407\,a^8\,{\left(-b\right)}^{27/2}\,c^{10}+512\,a^8\,{\left(-b\right)}^{29/2}\,c^8-752\,a^9\,{\left(-b\right)}^{27/2}\,c^9+482\,a^5\,{\left(-b\right)}^{31/2}\,c^{10}+8\,a^6\,{\left(-b\right)}^{29/2}\,c^{11}+3408\,a^6\,{\left(-b\right)}^{31/2}\,c^9+221\,a^7\,{\left(-b\right)}^{29/2}\,c^{10}+2176\,a^7\,{\left(-b\right)}^{31/2}\,c^8-20\,a^8\,{\left(-b\right)}^{27/2}\,c^{11}+736\,a^8\,{\left(-b\right)}^{29/2}\,c^9-144\,a^9\,{\left(-b\right)}^{27/2}\,c^{10}+256\,a^9\,{\left(-b\right)}^{29/2}\,c^8+18\,a^5\,{\left(-b\right)}^{31/2}\,c^{11}+673\,a^6\,{\left(-b\right)}^{31/2}\,c^{10}+32\,a^7\,{\left(-b\right)}^{29/2}\,c^{11}+1488\,a^7\,{\left(-b\right)}^{31/2}\,c^9+272\,a^8\,{\left(-b\right)}^{29/2}\,c^{10}+256\,a^8\,{\left(-b\right)}^{31/2}\,c^8-10\,a^9\,{\left(-b\right)}^{27/2}\,c^{11}+256\,a^9\,{\left(-b\right)}^{29/2}\,c^9+52\,a^6\,{\left(-b\right)}^{31/2}\,c^{11}+a^7\,{\left(-b\right)}^{29/2}\,c^{12}+416\,a^7\,{\left(-b\right)}^{31/2}\,c^{10}+40\,a^8\,{\left(-b\right)}^{29/2}\,c^{11}+256\,a^8\,{\left(-b\right)}^{31/2}\,c^9+96\,a^9\,{\left(-b\right)}^{29/2}\,c^{10}+a^6\,{\left(-b\right)}^{31/2}\,c^{12}+50\,a^7\,{\left(-b\right)}^{31/2}\,c^{11}+2\,a^8\,{\left(-b\right)}^{29/2}\,c^{12}+96\,a^8\,{\left(-b\right)}^{31/2}\,c^{10}+16\,a^9\,{\left(-b\right)}^{29/2}\,c^{11}+2\,a^7\,{\left(-b\right)}^{31/2}\,c^{12}+16\,a^8\,{\left(-b\right)}^{31/2}\,c^{11}+a^9\,{\left(-b\right)}^{29/2}\,c^{12}+a^8\,{\left(-b\right)}^{31/2}\,c^{12}-1152\,a\,{\left(-b\right)}^{19/2}\,c-18432\,a\,{\left(-b\right)}^{21/2}\,c+2\,a^6\,{\left(-b\right)}^{9/2}\,c-24\,a^5\,{\left(-b\right)}^{11/2}\,c+4\,a^7\,{\left(-b\right)}^{9/2}\,c+70\,a^4\,{\left(-b\right)}^{13/2}\,c-48\,a^6\,{\left(-b\right)}^{11/2}\,c+2\,a^8\,{\left(-b\right)}^{9/2}\,c-288\,a^3\,{\left(-b\right)}^{15/2}\,c+60\,a^5\,{\left(-b\right)}^{13/2}\,c-8\,a^7\,{\left(-b\right)}^{11/2}\,c+1536\,a^2\,{\left(-b\right)}^{17/2}\,c-656\,a^4\,{\left(-b\right)}^{15/2}\,c-378\,a^6\,{\left(-b\right)}^{13/2}\,c+32\,a^8\,{\left(-b\right)}^{11/2}\,c+8064\,a^3\,{\left(-b\right)}^{17/2}\,c+656\,a^5\,{\left(-b\right)}^{15/2}\,c-784\,a^7\,{\left(-b\right)}^{13/2}\,c+16\,a^9\,{\left(-b\right)}^{11/2}\,c-9600\,a^2\,{\left(-b\right)}^{19/2}\,c+16384\,a^4\,{\left(-b\right)}^{17/2}\,c+3280\,a^6\,{\left(-b\right)}^{15/2}\,c-544\,a^8\,{\left(-b\right)}^{13/2}\,c-30720\,a^3\,{\left(-b\right)}^{19/2}\,c+15616\,a^5\,{\left(-b\right)}^{17/2}\,c+3664\,a^7\,{\left(-b\right)}^{15/2}\,c-128\,a^9\,{\left(-b\right)}^{13/2}\,c-1152\,a\,{\left(-b\right)}^{21/2}\,c^2-46080\,a^2\,{\left(-b\right)}^{21/2}\,c-49920\,a^4\,{\left(-b\right)}^{19/2}\,c+6144\,a^6\,{\left(-b\right)}^{17/2}\,c+1664\,a^8\,{\left(-b\right)}^{15/2}\,c-61440\,a^3\,{\left(-b\right)}^{21/2}\,c-44160\,a^5\,{\left(-b\right)}^{19/2}\,c-128\,a^7\,{\left(-b\right)}^{17/2}\,c+256\,a^9\,{\left(-b\right)}^{15/2}\,c+46080\,a\,{\left(-b\right)}^{23/2}\,c^2-46080\,a^4\,{\left(-b\right)}^{21/2}\,c-20352\,a^6\,{\left(-b\right)}^{19/2}\,c-512\,a^8\,{\left(-b\right)}^{17/2}\,c+9600\,a\,{\left(-b\right)}^{23/2}\,c^3-18432\,a^5\,{\left(-b\right)}^{21/2}\,c-3840\,a^7\,{\left(-b\right)}^{19/2}\,c-3072\,a^6\,{\left(-b\right)}^{21/2}\,c-61440\,a\,{\left(-b\right)}^{25/2}\,c^3-17280\,a\,{\left(-b\right)}^{25/2}\,c^4+46080\,a\,{\left(-b\right)}^{27/2}\,c^4+14976\,a\,{\left(-b\right)}^{27/2}\,c^5-18432\,a\,{\left(-b\right)}^{29/2}\,c^5-6528\,a\,{\left(-b\right)}^{29/2}\,c^6+3072\,a\,{\left(-b\right)}^{31/2}\,c^6+1152\,a\,{\left(-b\right)}^{31/2}\,c^7\right)}{{\left(-b\right)}^{1/4}\,\left(a^{15}\,b^{17}\,c^9+9\,a^{14}\,b^{17}\,c^8+36\,a^{13}\,b^{17}\,c^7+84\,a^{12}\,b^{17}\,c^6+126\,a^{11}\,b^{17}\,c^5+126\,a^{10}\,b^{17}\,c^4+84\,a^9\,b^{17}\,c^3+36\,a^8\,b^{17}\,c^2+9\,a^7\,b^{17}\,c+a^6\,b^{17}\right)}+{\left(-\frac{4\,a\,b^3+b^3+6\,a^2\,b^3+4\,a^3\,b^3+a^4\,b^3+4\,a^2\,b^3\,c+6\,a^3\,b^3\,c+4\,a^4\,b^3\,c+a^5\,b^3\,c+a\,b^3\,c}{a^8\,b^4-a^9\,b^3}\right)}^{3/4}\,\left(\frac{64\,\left(36\,a^{12}\,{\left(-b\right)}^{25/4}-4\,a^{13}\,{\left(-b\right)}^{21/4}+48\,a^{13}\,{\left(-b\right)}^{25/4}-60\,a^{11}\,{\left(-b\right)}^{29/4}-240\,a^{12}\,{\left(-b\right)}^{29/4}-192\,a^{13}\,{\left(-b\right)}^{29/4}-180\,a^{10}\,{\left(-b\right)}^{33/4}-240\,a^{11}\,{\left(-b\right)}^{33/4}+192\,a^{12}\,{\left(-b\right)}^{33/4}+240\,a^9\,{\left(-b\right)}^{37/4}+256\,a^{13}\,{\left(-b\right)}^{33/4}+1200\,a^{10}\,{\left(-b\right)}^{37/4}+1728\,a^{11}\,{\left(-b\right)}^{37/4}+320\,a^8\,{\left(-b\right)}^{41/4}+768\,a^{12}\,{\left(-b\right)}^{37/4}+1152\,a^9\,{\left(-b\right)}^{41/4}+1344\,a^{10}\,{\left(-b\right)}^{41/4}+512\,a^{11}\,{\left(-b\right)}^{41/4}-144\,a^{13}\,{\left(-b\right)}^{29/4}\,c^2+912\,a^{12}\,{\left(-b\righ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^{69/4}\,c^8-512\,a^{11}\,{\left(-b\right)}^{69/4}\,c^7+4\,a^{10}\,{\left(-b\right)}^{69/4}\,c^9-768\,a^{11}\,{\left(-b\right)}^{69/4}\,c^8-256\,a^{12}\,{\left(-b\right)}^{69/4}\,c^8+36\,a^{13}\,{\left(-b\right)}^{25/4}\,c-276\,a^{12}\,{\left(-b\right)}^{29/4}\,c-384\,a^{13}\,{\left(-b\right)}^{29/4}\,c+300\,a^{11}\,{\left(-b\right)}^{33/4}\,c+1536\,a^{12}\,{\left(-b\right)}^{33/4}\,c+1344\,a^{13}\,{\left(-b\right)}^{33/4}\,c+1380\,a^{10}\,{\left(-b\right)}^{37/4}\,c+2304\,a^{11}\,{\left(-b\right)}^{37/4}\,c-576\,a^{12}\,{\left(-b\right)}^{37/4}\,c-1472\,a^9\,{\left(-b\right)}^{41/4}\,c-1536\,a^{13}\,{\left(-b\right)}^{37/4}\,c-7680\,a^{10}\,{\left(-b\right)}^{41/4}\,c-11328\,a^{11}\,{\left(-b\right)}^{41/4}\,c-2240\,a^8\,{\left(-b\right)}^{45/4}\,c-5120\,a^{12}\,{\left(-b\right)}^{41/4}\,c-8064\,a^9\,{\left(-b\right)}^{45/4}\,c-9408\,a^{10}\,{\left(-b\right)}^{45/4}\,c-3584\,a^{11}\,{\left(-b\right)}^{45/4}\,c\right)}{a^{16}\,b^{18}\,c^9+9\,a^{15}\,b^{18}\,c^8+36\,a^{14}\,b^{18}\,c^7+84\,a^{13}\,b^{18}\,c^6+126\,a^{12}\,b^{18}\,c^5+126\,a^{11}\,b^{18}\,c^4+84\,a^{10}\,b^{18}\,c^3+36\,a^9\,b^{18}\,c^2+9\,a^8\,b^{18}\,c+a^7\,b^{18}}+\frac{{\left(-\frac{4\,a\,b^3+b^3+6\,a^2\,b^3+4\,a^3\,b^3+a^4\,b^3+4\,a^2\,b^3\,c+6\,a^3\,b^3\,c+4\,a^4\,b^3\,c+a^5\,b^3\,c+a\,b^3\,c}{a^8\,b^4-a^9\,b^3}\right)}^{1/4}\,{\left(-\frac{b\,x-1}{c+x}\right)}^{1/4}\,\left(16\,a^{13}\,{\left(-b\right)}^{11/2}-80\,a^{12}\,{\left(-b\right)}^{13/2}-80\,a^{11}\,{\left(-b\right)}^{15/2}-128\,a^{13}\,{\left(-b\right)}^{13/2}+400\,a^{10}\,{\left(-b\right)}^{17/2}+128\,a^{12}\,{\left(-b\right)}^{15/2}+896\,a^9\,{\left(-b\right)}^{19/2}+1152\,a^{11}\,{\left(-b\right)}^{17/2}+256\,a^{13}\,{\left(-b\right)}^{15/2}+512\,a^8\,{\left(-b\right)}^{21/2}+1920\,a^{10}\,{\left(-b\right)}^{19/2}+768\,a^{12}\,{\left(-b\right)}^{17/2}+1024\,a^9\,{\left(-b\right)}^{21/2}+1024\,a^{11}\,{\left(-b\right)}^{19/2}+512\,a^{10}\,{\left(-b\right)}^{21/2}+448\,a^{13}\,{\left(-b\right)}^{15/2}\,c^2-1344\,a^{12}\,{\left(-b\right)}^{17/2}\,c^2-2624\,a^{11}\,{\left(-b\right)}^{19/2}\,c^2-2688\,a^{13}\,{\left(-b\right)}^{17/2}\,c^2+1088\,a^{10}\,{\left(-b\right)}^{21/2}\,c^2+128\,a^{12}\,{\left(-b\right)}^{19/2}\,c^2-896\,a^{13}\,{\left(-b\right)}^{17/2}\,c^3+9600\,a^9\,{\left(-b\right)}^{23/2}\,c^2+9344\,a^{11}\,{\left(-b\right)}^{21/2}\,c^2+1792\,a^{12}\,{\left(-b\right)}^{19/2}\,c^3+4096\,a^{13}\,{\left(-b\right)}^{19/2}\,c^2+7680\,a^8\,{\left(-b\right)}^{25/2}\,c^2+21888\,a^{10}\,{\left(-b\right)}^{23/2}\,c^2+4096\,a^{11}\,{\left(-b\right)}^{21/2}\,c^3+8704\,a^{12}\,{\left(-b\right)}^{21/2}\,c^2+4480\,a^{13}\,{\left(-b\right)}^{19/2}\,c^3+15360\,a^9\,{\left(-b\right)}^{25/2}\,c^2+3328\,a^{10}\,{\left(-b\right)}^{23/2}\,c^3+12288\,a^{11}\,{\left(-b\right)}^{23/2}\,c^2+128\,a^{12}\,{\left(-b\right)}^{21/2}\,c^3+1120\,a^{13}\,{\left(-b\right)}^{19/2}\,c^4-8320\,a^9\,{\left(-b\right)}^{25/2}\,c^3+7680\,a^{10}\,{\left(-b\right)}^{25/2}\,c^2-4992\,a^{11}\,{\left(-b\right)}^{23/2}\,c^3-1120\,a^{12}\,{\left(-b\right)}^{21/2}\,c^4-6656\,a^{13}\,{\left(-b\right)}^{21/2}\,c^3-10240\,a^8\,{\left(-b\right)}^{27/2}\,c^3-21120\,a^{10}\,{\left(-b\right)}^{25/2}\,c^3-2400\,a^{11}\,{\left(-b\right)}^{23/2}\,c^4-9216\,a^{12}\,{\left(-b\right)}^{23/2}\,c^3-4480\,a^{13}\,{\left(-b\right)}^{21/2}\,c^4-20480\,a^9\,{\left(-b\right)}^{27/2}\,c^3-7200\,a^{10}\,{\left(-b\right)}^{25/2}\,c^4-12800\,a^{11}\,{\left(-b\right)}^{25/2}\,c^3+1920\,a^{12}\,{\left(-b\right)}^{23/2}\,c^4-896\,a^{13}\,{\left(-b\right)}^{21/2}\,c^5+640\,a^9\,{\left(-b\right)}^{27/2}\,c^4-10240\,a^{10}\,{\left(-b\right)}^{27/2}\,c^3-3200\,a^{11}\,{\left(-b\right)}^{25/2}\,c^4+7680\,a^{13}\,{\left(-b\right)}^{23/2}\,c^4+7680\,a^8\,{\left(-b\right)}^{29/2}\,c^4+5760\,a^{10}\,{\left(-b\right)}^{27/2}\,c^4-1280\,a^{11}\,{\left(-b\right)}^{25/2}\,c^5+5120\,a^{12}\,{\left(-b\right)}^{25/2}\,c^4+2688\,a^{13}\,{\left(-b\right)}^{23/2}\,c^5+15360\,a^9\,{\left(-b\right)}^{29/2}\,c^4+5120\,a^{10}\,{\left(-b\right)}^{27/2}\,c^5+5120\,a^{11}\,{\left(-b\right)}^{27/2}\,c^4-5248\,a^{12}\,{\left(-b\right)}^{25/2}\,c^5+448\,a^{13}\,{\left(-b\right)}^{23/2}\,c^6+4224\,a^9\,{\left(-b\right)}^{29/2}\,c^5+7680\,a^{10}\,{\left(-b\right)}^{29/2}\,c^4+3968\,a^{11}\,{\left(-b\right)}^{27/2}\,c^5+448\,a^{12}\,{\left(-b\right)}^{25/2}\,c^6-6656\,a^{13}\,{\left(-b\right)}^{25/2}\,c^5-3072\,a^8\,{\left(-b\right)}^{31/2}\,c^5+5760\,a^{10}\,{\left(-b\right)}^{29/2}\,c^5+2752\,a^{11}\,{\left(-b\right)}^{27/2}\,c^6-2048\,a^{12}\,{\left(-b\right)}^{27/2}\,c^5-896\,a^{13}\,{\left(-b\right)}^{25/2}\,c^6-6144\,a^9\,{\left(-b\right)}^{31/2}\,c^5-704\,a^{10}\,{\left(-b\right)}^{29/2}\,c^6+1536\,a^{11}\,{\left(-b\right)}^{29/2}\,c^5+5504\,a^{12}\,{\left(-b\right)}^{27/2}\,c^6-128\,a^{13}\,{\left(-b\right)}^{25/2}\,c^7-2944\,a^9\,{\left(-b\right)}^{31/2}\,c^6-3072\,a^{10}\,{\left(-b\right)}^{31/2}\,c^5+384\,a^{11}\,{\left(-b\right)}^{29/2}\,c^6-256\,a^{12}\,{\left(-b\right)}^{27/2}\,c^7+4096\,a^{13}\,{\left(-b\right)}^{27/2}\,c^6+512\,a^8\,{\left(-b\right)}^{33/2}\,c^6-4992\,a^{10}\,{\left(-b\right)}^{31/2}\,c^6-1536\,a^{11}\,{\left(-b\right)}^{29/2}\,c^7+1536\,a^{12}\,{\left(-b\right)}^{29/2}\,c^6+128\,a^{13}\,{\left(-b\right)}^{27/2}\,c^7+1024\,a^9\,{\left(-b\right)}^{33/2}\,c^6-768\,a^{10}\,{\left(-b\right)}^{31/2}\,c^7-2048\,a^{11}\,{\left(-b\right)}^{31/2}\,c^6-2688\,a^{12}\,{\left(-b\right)}^{29/2}\,c^7+16\,a^{13}\,{\left(-b\right)}^{27/2}\,c^8+640\,a^9\,{\left(-b\right)}^{33/2}\,c^7+512\,a^{10}\,{\left(-b\right)}^{33/2}\,c^6-1664\,a^{11}\,{\left(-b\right)}^{31/2}\,c^7+48\,a^{12}\,{\left(-b\right)}^{29/2}\,c^8-1536\,a^{13}\,{\left(-b\right)}^{29/2}\,c^7+1152\,a^{10}\,{\left(-b\right)}^{33/2}\,c^7+304\,a^{11}\,{\left(-b\right)}^{31/2}\,c^8-1024\,a^{12}\,{\left(-b\right)}^{31/2}\,c^7+272\,a^{10}\,{\left(-b\right)}^{33/2}\,c^8+512\,a^{11}\,{\left(-b\right)}^{33/2}\,c^7+512\,a^{12}\,{\left(-b\right)}^{31/2}\,c^8+512\,a^{11}\,{\left(-b\right)}^{33/2}\,c^8+256\,a^{13}\,{\left(-b\right)}^{31/2}\,c^8+256\,a^{12}\,{\left(-b\right)}^{33/2}\,c^8-128\,a^{13}\,{\left(-b\right)}^{13/2}\,c+512\,a^{12}\,{\left(-b\right)}^{15/2}\,c+768\,a^{11}\,{\left(-b\right)}^{17/2}\,c+896\,a^{13}\,{\left(-b\right)}^{15/2}\,c-1536\,a^{10}\,{\left(-b\right)}^{19/2}\,c-384\,a^{12}\,{\left(-b\right)}^{17/2}\,c-4736\,a^9\,{\left(-b\right)}^{21/2}\,c-5504\,a^{11}\,{\left(-b\right)}^{19/2}\,c-1536\,a^{13}\,{\left(-b\right)}^{17/2}\,c-3072\,a^8\,{\left(-b\right)}^{23/2}\,c-10368\,a^{10}\,{\left(-b\right)}^{21/2}\,c-4096\,a^{12}\,{\left(-b\right)}^{19/2}\,c-6144\,a^9\,{\left(-b\right)}^{23/2}\,c-5632\,a^{11}\,{\left(-b\right)}^{21/2}\,c-3072\,a^{10}\,{\left(-b\right)}^{23/2}\,c\right)\,64{}\mathrm{i}}{{\left(-b\right)}^{1/4}\,\left(a^{15}\,b^{17}\,c^9+9\,a^{14}\,b^{17}\,c^8+36\,a^{13}\,b^{17}\,c^7+84\,a^{12}\,b^{17}\,c^6+126\,a^{11}\,b^{17}\,c^5+126\,a^{10}\,b^{17}\,c^4+84\,a^9\,b^{17}\,c^3+36\,a^8\,b^{17}\,c^2+9\,a^7\,b^{17}\,c+a^6\,b^{17}\right)}\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}\right)\,{\left(-\frac{4\,a\,b^3+b^3+6\,a^2\,b^3+4\,a^3\,b^3+a^4\,b^3+4\,a^2\,b^3\,c+6\,a^3\,b^3\,c+4\,a^4\,b^3\,c+a^5\,b^3\,c+a\,b^3\,c}{a^8\,b^4-a^9\,b^3}\right)}^{1/4}+\frac{\mathrm{atan}\left(\frac{\frac{\left({\left(-b\right)}^{7/4}\,1{}\mathrm{i}-\frac{a\,{\left(-b\right)}^{3/4}\,\left(4\,b+b\,c+1\right)\,1{}\mathrm{i}}{4}\right)\,\left(\frac{{\left({\left(-b\right)}^{7/4}\,1{}\mathrm{i}-\frac{a\,{\left(-b\right)}^{3/4}\,\left(4\,b+b\,c+1\right)\,1{}\mathrm{i}}{4}\right)}^3\,\left(\frac{64\,\left(36\,a^{12}\,{\left(-b\right)}^{25/4}-4\,a^{13}\,{\left(-b\right)}^{21/4}+48\,a^{13}\,{\left(-b\right)}^{25/4}-60\,a^{11}\,{\left(-b\right)}^{29/4}-240\,a^{12}\,{\left(-b\right)}^{29/4}-192\,a^{13}\,{\left(-b\right)}^{29/4}-180\,a^{10}\,{\left(-b\right)}^{33/4}-240\,a^{11}\,{\left(-b\right)}^{33/4}+192\,a^{12}\,{\left(-b\right)}^{33/4}+240\,a^9\,{\left(-b\right)}^{37/4}+256\,a^{13}\,{\left(-b\right)}^{33/4}+1200\,a^{10}\,{\left(-b\right)}^{37/4}+1728\,a^{11}\,{\left(-b\right)}^{37/4}+320\,a^8\,{\left(-b\right)}^{41/4}+768\,a^{12}\,{\left(-b\right)}^{37/4}+1152\,a^9\,{\left(-b\right)}^{41/4}+1344\,a^{10}\,{\left(-b\right)}^{41/4}+512\,a^{11}\,{\left(-b\right)}^{41/4}-144\,a^{13}\,{\left(-b\right)}^{29/4}\,c^2+912\,a^{12}\,{\left(-b\right)}^{33/4}\,c^2+1344\,a^{13}\,{\left(-b\right)}^{33/4}\,c^2+336\,a^{13}\,{\left(-b\right)}^{33/4}\,c^3-432\,a^{11}\,{\left(-b\right)}^{37/4}\,c^2-4032\,a^{12}\,{\left(-b\right)}^{37/4}\,c^2-1680\,a^{12}\,{\left(-b\right)}^{37/4}\,c^3-4032\,a^{13}\,{\left(-b\right)}^{37/4}\,c^2-4624\,a^{10}\,{\left(-b\right)}^{41/4}\,c^2-2688\,a^{13}\,{\left(-b\right)}^{37/4}\,c^3-9408\,a^{11}\,{\left(-b\right)}^{41/4}\,c^2-504\,a^{13}\,{\left(-b\right)}^{37/4}\,c^4-336\,a^{11}\,{\left(-b\right)}^{41/4}\,c^3-1344\,a^{12}\,{\left(-b\right)}^{41/4}\,c^2+3584\,a^9\,{\left(-b\right)}^{45/4}\,c^2+5376\,a^{12}\,{\left(-b\right)}^{41/4}\,c^3+3584\,a^{13}\,{\left(-b\right)}^{41/4}\,c^2+20160\,a^{10}\,{\left(-b\right)}^{45/4}\,c^2+1848\,a^{12}\,{\left(-b\right)}^{41/4}\,c^4+6720\,a^{13}\,{\left(-b\right)}^{41/4}\,c^3+8848\,a^{10}\,{\left(-b\right)}^{45/4}\,c^3+30912\,a^{11}\,{\left(-b\right)}^{45/4}\,c^2+3360\,a^{13}\,{\left(-b\right)}^{41/4}\,c^4+6720\,a^8\,{\left(-b\right)}^{49/4}\,c^2+21504\,a^{11}\,{\left(-b\right)}^{45/4}\,c^3+14336\,a^{12}\,{\left(-b\right)}^{45/4}\,c^2+504\,a^{13}\,{\left(-b\right)}^{41/4}\,c^5+24192\,a^9\,{\left(-b\right)}^{49/4}\,c^2+1848\,a^{11}\,{\left(-b\right)}^{45/4}\,c^4+9408\,a^{12}\,{\left(-b\right)}^{45/4}\,c^3-4032\,a^9\,{\left(-b\right)}^{49/4}\,c^3+28224\,a^{10}\,{\left(-b\right)}^{49/4}\,c^2-3360\,a^{12}\,{\left(-b\right)}^{45/4}\,c^4-3584\,a^{13}\,{\left(-b\right)}^{45/4}\,c^3-26880\,a^{10}\,{\left(-b\right)}^{49/4}\,c^3+10752\,a^{11}\,{\left(-b\right)}^{49/4}\,c^2-1176\,a^{12}\,{\left(-b\right)}^{45/4}\,c^5-6720\,a^{13}\,{\left(-b\right)}^{45/4}\,c^4-10584\,a^{10}\,{\left(-b\right)}^{49/4}\,c^4-44352\,a^{11}\,{\left(-b\right)}^{49/4}\,c^3-2688\,a^{13}\,{\left(-b\right)}^{45/4}\,c^5-11200\,a^8\,{\left(-b\right)}^{53/4}\,c^3-30240\,a^{11}\,{\left(-b\right)}^{49/4}\,c^4-21504\,a^{12}\,{\left(-b\right)}^{49/4}\,c^3-336\,a^{13}\,{\left(-b\right)}^{45/4}\,c^6-40320\,a^9\,{\left(-b\right)}^{53/4}\,c^3-2520\,a^{11}\,{\left(-b\right)}^{49/4}\,c^5-20160\,a^{12}\,{\left(-b\right)}^{49/4}\,c^4+1120\,a^9\,{\left(-b\right)}^{53/4}\,c^4-47040\,a^{10}\,{\left(-b\right)}^{53/4}\,c^3+16800\,a^{10}\,{\left(-b\right)}^{53/4}\,c^4-17920\,a^{11}\,{\left(-b\right)}^{53/4}\,c^3+336\,a^{12}\,{\left(-b\right)}^{49/4}\,c^6+4032\,a^{13}\,{\left(-b\right)}^{49/4}\,c^5+8120\,a^{10}\,{\left(-b\right)}^{53/4}\,c^5+33600\,a^{11}\,{\left(-b\right)}^{53/4}\,c^4+1344\,a^{13}\,{\left(-b\right)}^{49/4}\,c^6+11200\,a^8\,{\left(-b\right)}^{57/4}\,c^4+26880\,a^{11}\,{\left(-b\right)}^{53/4}\,c^5+17920\,a^{12}\,{\left(-b\right)}^{53/4}\,c^4+144\,a^{13}\,{\left(-b\right)}^{49/4}\,c^7+40320\,a^9\,{\left(-b\right)}^{57/4}\,c^4+1680\,a^{11}\,{\left(-b\right)}^{53/4}\,c^6+22848\,a^{12}\,{\left(-b\right)}^{53/4}\,c^5+2240\,a^9\,{\left(-b\right)}^{57/4}\,c^5+47040\,a^{10}\,{\left(-b\right)}^{57/4}\,c^4+1344\,a^{12}\,{\left(-b\right)}^{53/4}\,c^6+3584\,a^{13}\,{\left(-b\right)}^{53/4}\,c^5+17920\,a^{11}\,{\left(-b\right)}^{57/4}\,c^4+48\,a^{12}\,{\left(-b\right)}^{53/4}\,c^7-1344\,a^{13}\,{\left(-b\right)}^{53/4}\,c^6-3920\,a^{10}\,{\left(-b\right)}^{57/4}\,c^6-9408\,a^{11}\,{\left(-b\right)}^{57/4}\,c^5-384\,a^{13}\,{\left(-b\right)}^{53/4}\,c^7-6720\,a^8\,{\left(-b\right)}^{61/4}\,c^5-14784\,a^{11}\,{\left(-b\right)}^{57/4}\,c^6-7168\,a^{12}\,{\left(-b\right)}^{57/4}\,c^5-36\,a^{13}\,{\left(-b\right)}^{53/4}\,c^8-24192\,a^9\,{\left(-b\right)}^{61/4}\,c^5-528\,a^{11}\,{\left(-b\right)}^{57/4}\,c^7-14784\,a^{12}\,{\left(-b\right)}^{57/4}\,c^6-2688\,a^9\,{\left(-b\right)}^{61/4}\,c^6-28224\,a^{10}\,{\left(-b\right)}^{61/4}\,c^5-768\,a^{12}\,{\left(-b\right)}^{57/4}\,c^7-3584\,a^{13}\,{\left(-b\right)}^{57/4}\,c^6-6720\,a^{10}\,{\left(-b\right)}^{61/4}\,c^6-10752\,a^{11}\,{\left(-b\right)}^{61/4}\,c^5-60\,a^{12}\,{\left(-b\right)}^{57/4}\,c^8+192\,a^{13}\,{\left(-b\right)}^{57/4}\,c^7+1104\,a^{10}\,{\left(-b\right)}^{61/4}\,c^7-4032\,a^{11}\,{\left(-b\right)}^{61/4}\,c^6+48\,a^{13}\,{\left(-b\right)}^{57/4}\,c^8+2240\,a^8\,{\left(-b\right)}^{65/4}\,c^6+4608\,a^{11}\,{\left(-b\right)}^{61/4}\,c^7+4\,a^{13}\,{\left(-b\right)}^{57/4}\,c^9+8064\,a^9\,{\left(-b\right)}^{65/4}\,c^6+36\,a^{11}\,{\left(-b\right)}^{61/4}\,c^8+5184\,a^{12}\,{\left(-b\right)}^{61/4}\,c^7+1216\,a^9\,{\left(-b\right)}^{65/4}\,c^7+9408\,a^{10}\,{\left(-b\right)}^{65/4}\,c^6+144\,a^{12}\,{\left(-b\right)}^{61/4}\,c^8+1536\,a^{13}\,{\left(-b\right)}^{61/4}\,c^7+3840\,a^{10}\,{\left(-b\right)}^{65/4}\,c^7+3584\,a^{11}\,{\left(-b\right)}^{65/4}\,c^6+12\,a^{12}\,{\left(-b\right)}^{61/4}\,c^9-148\,a^{10}\,{\left(-b\right)}^{65/4}\,c^8+3648\,a^{11}\,{\left(-b\right)}^{65/4}\,c^7-320\,a^8\,{\left(-b\right)}^{69/4}\,c^7-624\,a^{11}\,{\left(-b\right)}^{65/4}\,c^8+1024\,a^{12}\,{\left(-b\right)}^{65/4}\,c^7-1152\,a^9\,{\left(-b\right)}^{69/4}\,c^7+12\,a^{11}\,{\left(-b\right)}^{65/4}\,c^9-768\,a^{12}\,{\left(-b\right)}^{65/4}\,c^8-208\,a^9\,{\left(-b\right)}^{69/4}\,c^8-1344\,a^{10}\,{\left(-b\right)}^{69/4}\,c^7-256\,a^{13}\,{\left(-b\right)}^{65/4}\,c^8-720\,a^{10}\,{\left(-b\right)}^{69/4}\,c^8-512\,a^{11}\,{\left(-b\right)}^{69/4}\,c^7+4\,a^{10}\,{\left(-b\right)}^{69/4}\,c^9-768\,a^{11}\,{\left(-b\right)}^{69/4}\,c^8-256\,a^{12}\,{\left(-b\right)}^{69/4}\,c^8+36\,a^{13}\,{\left(-b\right)}^{25/4}\,c-276\,a^{12}\,{\left(-b\right)}^{29/4}\,c-384\,a^{13}\,{\left(-b\right)}^{29/4}\,c+300\,a^{11}\,{\left(-b\right)}^{33/4}\,c+1536\,a^{12}\,{\left(-b\right)}^{33/4}\,c+1344\,a^{13}\,{\left(-b\right)}^{33/4}\,c+1380\,a^{10}\,{\left(-b\right)}^{37/4}\,c+2304\,a^{11}\,{\left(-b\right)}^{37/4}\,c-576\,a^{12}\,{\left(-b\right)}^{37/4}\,c-1472\,a^9\,{\left(-b\right)}^{41/4}\,c-1536\,a^{13}\,{\left(-b\right)}^{37/4}\,c-7680\,a^{10}\,{\left(-b\right)}^{41/4}\,c-11328\,a^{11}\,{\left(-b\right)}^{41/4}\,c-2240\,a^8\,{\left(-b\right)}^{45/4}\,c-5120\,a^{12}\,{\left(-b\right)}^{41/4}\,c-8064\,a^9\,{\left(-b\right)}^{45/4}\,c-9408\,a^{10}\,{\left(-b\right)}^{45/4}\,c-3584\,a^{11}\,{\left(-b\right)}^{45/4}\,c\right)}{a^{16}\,b^{18}\,c^9+9\,a^{15}\,b^{18}\,c^8+36\,a^{14}\,b^{18}\,c^7+84\,a^{13}\,b^{18}\,c^6+126\,a^{12}\,b^{18}\,c^5+126\,a^{11}\,b^{18}\,c^4+84\,a^{10}\,b^{18}\,c^3+36\,a^9\,b^{18}\,c^2+9\,a^8\,b^{18}\,c+a^7\,b^{18}}-\frac{64\,\left({\left(-b\right)}^{7/4}\,1{}\mathrm{i}-\frac{a\,{\left(-b\right)}^{3/4}\,\left(4\,b+b\,c+1\right)\,1{}\mathrm{i}}{4}\right)\,{\left(-\frac{b\,x-1}{c+x}\right)}^{1/4}\,\left(16\,a^{13}\,{\left(-b\right)}^{11/2}-80\,a^{12}\,{\left(-b\right)}^{13/2}-80\,a^{11}\,{\left(-b\right)}^{15/2}-128\,a^{13}\,{\left(-b\right)}^{13/2}+400\,a^{10}\,{\left(-b\right)}^{17/2}+128\,a^{12}\,{\left(-b\right)}^{15/2}+896\,a^9\,{\left(-b\right)}^{19/2}+1152\,a^{11}\,{\left(-b\right)}^{17/2}+256\,a^{13}\,{\left(-b\right)}^{15/2}+512\,a^8\,{\left(-b\right)}^{21/2}+1920\,a^{10}\,{\left(-b\right)}^{19/2}+768\,a^{12}\,{\left(-b\right)}^{17/2}+1024\,a^9\,{\left(-b\right)}^{21/2}+1024\,a^{11}\,{\left(-b\right)}^{19/2}+512\,a^{10}\,{\left(-b\right)}^{21/2}+448\,a^{13}\,{\left(-b\right)}^{15/2}\,c^2-1344\,a^{12}\,{\left(-b\right)}^{17/2}\,c^2-2624\,a^{11}\,{\left(-b\right)}^{19/2}\,c^2-2688\,a^{13}\,{\left(-b\right)}^{17/2}\,c^2+1088\,a^{10}\,{\left(-b\right)}^{21/2}\,c^2+128\,a^{12}\,{\left(-b\right)}^{19/2}\,c^2-896\,a^{13}\,{\left(-b\right)}^{17/2}\,c^3+9600\,a^9\,{\left(-b\right)}^{23/2}\,c^2+9344\,a^{11}\,{\left(-b\right)}^{21/2}\,c^2+1792\,a^{12}\,{\left(-b\right)}^{19/2}\,c^3+4096\,a^{13}\,{\left(-b\right)}^{19/2}\,c^2+7680\,a^8\,{\left(-b\right)}^{25/2}\,c^2+21888\,a^{10}\,{\left(-b\right)}^{23/2}\,c^2+4096\,a^{11}\,{\left(-b\right)}^{21/2}\,c^3+8704\,a^{12}\,{\left(-b\right)}^{21/2}\,c^2+4480\,a^{13}\,{\left(-b\right)}^{19/2}\,c^3+15360\,a^9\,{\left(-b\right)}^{25/2}\,c^2+3328\,a^{10}\,{\left(-b\right)}^{23/2}\,c^3+12288\,a^{11}\,{\left(-b\right)}^{23/2}\,c^2+128\,a^{12}\,{\left(-b\right)}^{21/2}\,c^3+1120\,a^{13}\,{\left(-b\right)}^{19/2}\,c^4-8320\,a^9\,{\left(-b\right)}^{25/2}\,c^3+7680\,a^{10}\,{\left(-b\right)}^{25/2}\,c^2-4992\,a^{11}\,{\left(-b\right)}^{23/2}\,c^3-1120\,a^{12}\,{\left(-b\right)}^{21/2}\,c^4-6656\,a^{13}\,{\left(-b\right)}^{21/2}\,c^3-10240\,a^8\,{\left(-b\right)}^{27/2}\,c^3-21120\,a^{10}\,{\left(-b\right)}^{25/2}\,c^3-2400\,a^{11}\,{\left(-b\right)}^{23/2}\,c^4-9216\,a^{12}\,{\left(-b\right)}^{23/2}\,c^3-4480\,a^{13}\,{\left(-b\right)}^{21/2}\,c^4-20480\,a^9\,{\left(-b\right)}^{27/2}\,c^3-7200\,a^{10}\,{\left(-b\right)}^{25/2}\,c^4-12800\,a^{11}\,{\left(-b\right)}^{25/2}\,c^3+1920\,a^{12}\,{\left(-b\right)}^{23/2}\,c^4-896\,a^{13}\,{\left(-b\right)}^{21/2}\,c^5+640\,a^9\,{\left(-b\right)}^{27/2}\,c^4-10240\,a^{10}\,{\left(-b\right)}^{27/2}\,c^3-3200\,a^{11}\,{\left(-b\right)}^{25/2}\,c^4+7680\,a^{13}\,{\left(-b\right)}^{23/2}\,c^4+7680\,a^8\,{\left(-b\right)}^{29/2}\,c^4+5760\,a^{10}\,{\left(-b\right)}^{27/2}\,c^4-1280\,a^{11}\,{\left(-b\right)}^{25/2}\,c^5+5120\,a^{12}\,{\left(-b\right)}^{25/2}\,c^4+2688\,a^{13}\,{\left(-b\right)}^{23/2}\,c^5+15360\,a^9\,{\left(-b\right)}^{29/2}\,c^4+5120\,a^{10}\,{\left(-b\right)}^{27/2}\,c^5+5120\,a^{11}\,{\left(-b\right)}^{27/2}\,c^4-5248\,a^{12}\,{\left(-b\right)}^{25/2}\,c^5+448\,a^{13}\,{\left(-b\right)}^{23/2}\,c^6+4224\,a^9\,{\left(-b\right)}^{29/2}\,c^5+7680\,a^{10}\,{\left(-b\right)}^{29/2}\,c^4+3968\,a^{11}\,{\left(-b\right)}^{27/2}\,c^5+448\,a^{12}\,{\left(-b\right)}^{25/2}\,c^6-6656\,a^{13}\,{\left(-b\right)}^{25/2}\,c^5-3072\,a^8\,{\left(-b\right)}^{31/2}\,c^5+5760\,a^{10}\,{\left(-b\right)}^{29/2}\,c^5+2752\,a^{11}\,{\left(-b\right)}^{27/2}\,c^6-2048\,a^{12}\,{\left(-b\right)}^{27/2}\,c^5-896\,a^{13}\,{\left(-b\right)}^{25/2}\,c^6-6144\,a^9\,{\left(-b\right)}^{31/2}\,c^5-704\,a^{10}\,{\left(-b\right)}^{29/2}\,c^6+1536\,a^{11}\,{\left(-b\right)}^{29/2}\,c^5+5504\,a^{12}\,{\left(-b\right)}^{27/2}\,c^6-128\,a^{13}\,{\left(-b\right)}^{25/2}\,c^7-2944\,a^9\,{\left(-b\right)}^{31/2}\,c^6-3072\,a^{10}\,{\left(-b\right)}^{31/2}\,c^5+384\,a^{11}\,{\left(-b\right)}^{29/2}\,c^6-256\,a^{12}\,{\left(-b\right)}^{27/2}\,c^7+4096\,a^{13}\,{\left(-b\right)}^{27/2}\,c^6+512\,a^8\,{\left(-b\right)}^{33/2}\,c^6-4992\,a^{10}\,{\left(-b\right)}^{31/2}\,c^6-1536\,a^{11}\,{\left(-b\right)}^{29/2}\,c^7+1536\,a^{12}\,{\left(-b\right)}^{29/2}\,c^6+128\,a^{13}\,{\left(-b\right)}^{27/2}\,c^7+1024\,a^9\,{\left(-b\right)}^{33/2}\,c^6-768\,a^{10}\,{\left(-b\right)}^{31/2}\,c^7-2048\,a^{11}\,{\left(-b\right)}^{31/2}\,c^6-2688\,a^{12}\,{\left(-b\right)}^{29/2}\,c^7+16\,a^{13}\,{\left(-b\right)}^{27/2}\,c^8+640\,a^9\,{\left(-b\right)}^{33/2}\,c^7+512\,a^{10}\,{\left(-b\right)}^{33/2}\,c^6-1664\,a^{11}\,{\left(-b\right)}^{31/2}\,c^7+48\,a^{12}\,{\left(-b\right)}^{29/2}\,c^8-1536\,a^{13}\,{\left(-b\right)}^{29/2}\,c^7+1152\,a^{10}\,{\left(-b\right)}^{33/2}\,c^7+304\,a^{11}\,{\left(-b\right)}^{31/2}\,c^8-1024\,a^{12}\,{\left(-b\right)}^{31/2}\,c^7+272\,a^{10}\,{\left(-b\right)}^{33/2}\,c^8+512\,a^{11}\,{\left(-b\right)}^{33/2}\,c^7+512\,a^{12}\,{\left(-b\right)}^{31/2}\,c^8+512\,a^{11}\,{\left(-b\right)}^{33/2}\,c^8+256\,a^{13}\,{\left(-b\right)}^{31/2}\,c^8+256\,a^{12}\,{\left(-b\right)}^{33/2}\,c^8-128\,a^{13}\,{\left(-b\right)}^{13/2}\,c+512\,a^{12}\,{\left(-b\right)}^{15/2}\,c+768\,a^{11}\,{\left(-b\right)}^{17/2}\,c+896\,a^{13}\,{\left(-b\right)}^{15/2}\,c-1536\,a^{10}\,{\left(-b\right)}^{19/2}\,c-384\,a^{12}\,{\left(-b\right)}^{17/2}\,c-4736\,a^9\,{\left(-b\right)}^{21/2}\,c-5504\,a^{11}\,{\left(-b\right)}^{19/2}\,c-1536\,a^{13}\,{\left(-b\right)}^{17/2}\,c-3072\,a^8\,{\left(-b\right)}^{23/2}\,c-10368\,a^{10}\,{\left(-b\right)}^{21/2}\,c-4096\,a^{12}\,{\left(-b\right)}^{19/2}\,c-6144\,a^9\,{\left(-b\right)}^{23/2}\,c-5632\,a^{11}\,{\left(-b\right)}^{21/2}\,c-3072\,a^{10}\,{\left(-b\right)}^{23/2}\,c\right)}{a^2\,{\left(-b\right)}^{9/4}\,\left(a^{15}\,b^{17}\,c^9+9\,a^{14}\,b^{17}\,c^8+36\,a^{13}\,b^{17}\,c^7+84\,a^{12}\,b^{17}\,c^6+126\,a^{11}\,b^{17}\,c^5+126\,a^{10}\,b^{17}\,c^4+84\,a^9\,b^{17}\,c^3+36\,a^8\,b^{17}\,c^2+9\,a^7\,b^{17}\,c+a^6\,b^{17}\right)}\right)}{a^6\,b^6}+\frac{64\,{\left(-\frac{b\,x-1}{c+x}\right)}^{1/4}\,\left(512\,{\left(-b\right)}^{19/2}+a^5\,{\left(-b\right)}^{9/2}+a^4\,{\left(-b\right)}^{11/2}+2\,a^6\,{\left(-b\right)}^{9/2}-16\,a^3\,{\left(-b\right)}^{13/2}+18\,a^5\,{\left(-b\right)}^{11/2}+a^7\,{\left(-b\right)}^{9/2}-144\,a^2\,{\left(-b\right)}^{15/2}-176\,a^4\,{\left(-b\right)}^{13/2}+49\,a^6\,{\left(-b\right)}^{11/2}-576\,a^3\,{\left(-b\right)}^{15/2}-560\,a^5\,{\left(-b\right)}^{13/2}+48\,a^7\,{\left(-b\right)}^{11/2}+2688\,a^2\,{\left(-b\right)}^{17/2}-608\,a^4\,{\left(-b\right)}^{15/2}-784\,a^6\,{\left(-b\right)}^{13/2}+16\,a^8\,{\left(-b\right)}^{11/2}+7680\,a^3\,{\left(-b\right)}^{17/2}+448\,a^5\,{\left(-b\right)}^{15/2}-512\,a^7\,{\left(-b\right)}^{13/2}+7680\,a^2\,{\left(-b\right)}^{19/2}+11520\,a^4\,{\left(-b\right)}^{17/2}+1392\,a^6\,{\left(-b\right)}^{15/2}-128\,a^8\,{\left(-b\right)}^{13/2}+10240\,a^3\,{\left(-b\right)}^{19/2}+9600\,a^5\,{\left(-b\right)}^{17/2}+1024\,a^7\,{\left(-b\right)}^{15/2}+7680\,a^4\,{\left(-b\right)}^{19/2}+4224\,a^6\,{\left(-b\right)}^{17/2}+256\,a^8\,{\left(-b\right)}^{15/2}+3072\,a^5\,{\left(-b\right)}^{19/2}+768\,a^7\,{\left(-b\right)}^{17/2}+512\,a^6\,{\left(-b\right)}^{19/2}+7680\,{\left(-b\right)}^{23/2}\,c^2-10240\,{\left(-b\right)}^{25/2}\,c^3+7680\,{\left(-b\right)}^{27/2}\,c^4-3072\,{\left(-b\right)}^{29/2}\,c^5+512\,{\left(-b\right)}^{31/2}\,c^6+384\,a\,{\left(-b\right)}^{17/2}+3072\,a\,{\left(-b\right)}^{19/2}-3072\,{\left(-b\right)}^{21/2}\,c+a^7\,{\left(-b\right)}^{9/2}\,c^2-35\,a^6\,{\left(-b\right)}^{11/2}\,c^2+2\,a^8\,{\left(-b\right)}^{9/2}\,c^2+265\,a^5\,{\left(-b\right)}^{13/2}\,c^2-86\,a^7\,{\left(-b\right)}^{11/2}\,c^2+a^9\,{\left(-b\right)}^{9/2}\,c^2-851\,a^4\,{\left(-b\right)}^{15/2}\,c^2+738\,a^6\,{\left(-b\right)}^{13/2}\,c^2-10\,a^7\,{\left(-b\right)}^{11/2}\,c^3-67\,a^8\,{\left(-b\right)}^{11/2}\,c^2+2496\,a^3\,{\left(-b\right)}^{17/2}\,c^2-2566\,a^5\,{\left(-b\right)}^{15/2}\,c^2+224\,a^6\,{\left(-b\right)}^{13/2}\,c^3+649\,a^7\,{\left(-b\right)}^{13/2}\,c^2-20\,a^8\,{\left(-b\right)}^{11/2}\,c^3-16\,a^9\,{\left(-b\right)}^{11/2}\,c^2-5184\,a^2\,{\left(-b\right)}^{19/2}\,c^2+10432\,a^4\,{\left(-b\right)}^{17/2}\,c^2-1358\,a^5\,{\left(-b\right)}^{15/2}\,c^3-1907\,a^6\,{\left(-b\right)}^{15/2}\,c^2+592\,a^7\,{\left(-b\right)}^{13/2}\,c^3+144\,a^8\,{\left(-b\right)}^{13/2}\,c^2-10\,a^9\,{\left(-b\right)}^{11/2}\,c^3-31104\,a^3\,{\left(-b\right)}^{19/2}\,c^2+3784\,a^4\,{\left(-b\right)}^{17/2}\,c^3+14912\,a^5\,{\left(-b\right)}^{17/2}\,c^2-4364\,a^6\,{\left(-b\right)}^{15/2}\,c^3+45\,a^7\,{\left(-b\right)}^{13/2}\,c^4+1120\,a^7\,{\left(-b\right)}^{15/2}\,c^2+512\,a^8\,{\left(-b\right)}^{13/2}\,c^3-32\,a^9\,{\left(-b\right)}^{13/2}\,c^2+1152\,a^2\,{\left(-b\right)}^{21/2}\,c^2-7552\,a^3\,{\left(-b\right)}^{19/2}\,c^3-74624\,a^4\,{\left(-b\right)}^{19/2}\,c^2+14288\,a^5\,{\left(-b\right)}^{17/2}\,c^3-771\,a^6\,{\left(-b\right)}^{15/2}\,c^4+5824\,a^6\,{\left(-b\right)}^{17/2}\,c^2-4974\,a^7\,{\left(-b\right)}^{15/2}\,c^3+90\,a^8\,{\left(-b\right)}^{13/2}\,c^4+1952\,a^8\,{\left(-b\right)}^{15/2}\,c^2+144\,a^9\,{\left(-b\right)}^{13/2}\,c^3+6912\,a^2\,{\left(-b\right)}^{21/2}\,c^3+23040\,a^3\,{\left(-b\right)}^{21/2}\,c^2-36800\,a^4\,{\left(-b\right)}^{19/2}\,c^3+3874\,a^5\,{\left(-b\right)}^{17/2}\,c^4-91136\,a^5\,{\left(-b\right)}^{19/2}\,c^2+19144\,a^6\,{\left(-b\right)}^{17/2}\,c^3-2118\,a^7\,{\left(-b\right)}^{15/2}\,c^4-5120\,a^7\,{\left(-b\right)}^{17/2}\,c^2-2288\,a^8\,{\left(-b\right)}^{15/2}\,c^3+45\,a^9\,{\left(-b\right)}^{13/2}\,c^4+640\,a^9\,{\left(-b\right)}^{15/2}\,c^2+115200\,a^2\,{\left(-b\right)}^{23/2}\,c^2+49536\,a^3\,{\left(-b\right)}^{21/2}\,c^3-8750\,a^4\,{\left(-b\right)}^{19/2}\,c^4+57600\,a^4\,{\left(-b\right)}^{21/2}\,c^2-68032\,a^5\,{\left(-b\right)}^{19/2}\,c^3+13444\,a^6\,{\left(-b\right)}^{17/2}\,c^4-58944\,a^6\,{\left(-b\right)}^{19/2}\,c^2-120\,a^7\,{\left(-b\right)}^{15/2}\,c^5+9664\,a^7\,{\left(-b\right)}^{17/2}\,c^3-1923\,a^8\,{\left(-b\right)}^{15/2}\,c^4-5248\,a^8\,{\left(-b\right)}^{17/2}\,c^2-320\,a^9\,{\left(-b\right)}^{15/2}\,c^3+44160\,a^2\,{\left(-b\right)}^{23/2}\,c^3+11040\,a^3\,{\left(-b\right)}^{21/2}\,c^4+153600\,a^3\,{\left(-b\right)}^{23/2}\,c^2+137728\,a^4\,{\left(-b\right)}^{21/2}\,c^3-36988\,a^5\,{\left(-b\right)}^{19/2}\,c^4+63360\,a^5\,{\left(-b\right)}^{21/2}\,c^2+1644\,a^6\,{\left(-b\right)}^{17/2}\,c^5-56512\,a^6\,{\left(-b\right)}^{19/2}\,c^3+17058\,a^7\,{\left(-b\right)}^{17/2}\,c^4-18560\,a^7\,{\left(-b\right)}^{19/2}\,c^2-240\,a^8\,{\left(-b\right)}^{15/2}\,c^5+128\,a^8\,{\left(-b\right)}^{17/2}\,c^3-576\,a^9\,{\left(-b\right)}^{15/2}\,c^4-1280\,a^9\,{\left(-b\right)}^{17/2}\,c^2-480\,a^2\,{\left(-b\right)}^{23/2}\,c^4+76800\,a^3\,{\left(-b\right)}^{23/2}\,c^3+60640\,a^4\,{\left(-b\right)}^{21/2}\,c^4+115200\,a^4\,{\left(-b\right)}^{23/2}\,c^2-6776\,a^5\,{\left(-b\right)}^{19/2}\,c^5+193792\,a^5\,{\left(-b\right)}^{21/2}\,c^3-59150\,a^6\,{\left(-b\right)}^{19/2}\,c^4+33408\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^9\,{\left(-b\right)}^{21/2}\,c^7-1280\,a^9\,{\left(-b\right)}^{23/2}\,c^5-5376\,a^2\,{\left(-b\right)}^{29/2}\,c^7-84480\,a^3\,{\left(-b\right)}^{29/2}\,c^6+13888\,a^4\,{\left(-b\right)}^{27/2}\,c^7-46080\,a^4\,{\left(-b\right)}^{29/2}\,c^5+2173\,a^5\,{\left(-b\right)}^{25/2}\,c^8+70144\,a^5\,{\left(-b\right)}^{27/2}\,c^6+42952\,a^6\,{\left(-b\right)}^{25/2}\,c^7+49536\,a^6\,{\left(-b\right)}^{27/2}\,c^5-4092\,a^7\,{\left(-b\right)}^{23/2}\,c^8+57856\,a^7\,{\left(-b\right)}^{25/2}\,c^6-20384\,a^8\,{\left(-b\right)}^{23/2}\,c^7+8704\,a^8\,{\left(-b\right)}^{25/2}\,c^5+210\,a^9\,{\left(-b\right)}^{21/2}\,c^8-6272\,a^9\,{\left(-b\right)}^{23/2}\,c^6+7680\,a^2\,{\left(-b\right)}^{31/2}\,c^6-26496\,a^3\,{\left(-b\right)}^{29/2}\,c^7+301\,a^4\,{\left(-b\right)}^{27/2}\,c^8-103680\,a^4\,{\left(-b\right)}^{29/2}\,c^6+12608\,a^5\,{\left(-b\right)}^{27/2}\,c^7-18432\,a^5\,{\left(-b\right)}^{29/2}\,c^5+9274\,a^6\,{\left(-b\right)}^{25/2}\,c^8+21696\,a^6\,{\left(-b\right)}^{27/2}\,c^6-120\,a^7\,{\left(-b\right)}^{23/2}\,c^9+45760\,a^7\,{\left(-b\right)}^{25/2}\,c^7+6912\,a^7\,{\left(-b\right)}^{27/2}\,c^5-4062\,a^8\,{\left(-b\right)}^{23/2}\,c^8+20096\,a^8\,{\left(-b\right)}^{25/2}\,c^6-4928\,a^9\,{\left(-b\right)}^{23/2}\,c^7+6528\,a^2\,{\left(-b\right)}^{31/2}\,c^7-2448\,a^3\,{\left(-b\right)}^{29/2}\,c^8+10240\,a^3\,{\left(-b\right)}^{31/2}\,c^6-52736\,a^4\,{\left(-b\right)}^{29/2}\,c^7-1558\,a^5\,{\left(-b\right)}^{27/2}\,c^8-71040\,a^5\,{\left(-b\right)}^{29/2}\,c^6+546\,a^6\,{\left(-b\right)}^{25/2}\,c^9-4544\,a^6\,{\left(-b\right)}^{27/2}\,c^7-3072\,a^6\,{\left(-b\right)}^{29/2}\,c^5+14589\,a^7\,{\left(-b\right)}^{25/2}\,c^8-2432\,a^7\,{\left(-b\right)}^{27/2}\,c^6-240\,a^8\,{\left(-b\right)}^{23/2}\,c^9+23168\,a^8\,{\left(-b\right)}^{25/2}\,c^7-1344\,a^9\,{\left(-b\right)}^{23/2}\,c^8+2304\,a^9\,{\left(-b\right)}^{25/2}\,c^6+1008\,a^2\,{\left(-b\right)}^{31/2}\,c^8+15360\,a^3\,{\left(-b\right)}^{31/2}\,c^7-10160\,a^4\,{\left(-b\right)}^{29/2}\,c^8+7680\,a^4\,{\left(-b\right)}^{31/2}\,c^6-384\,a^5\,{\left(-b\right)}^{27/2}\,c^9-53504\,a^5\,{\left(-b\right)}^{29/2}\,c^7-8099\,a^6\,{\left(-b\right)}^{27/2}\,c^8-25728\,a^6\,{\left(-b\right)}^{29/2}\,c^6+1668\,a^7\,{\left(-b\right)}^{25/2}\,c^9-13760\,a^7\,{\left(-b\right)}^{27/2}\,c^7+10048\,a^8\,{\left(-b\right)}^{25/2}\,c^8-2048\,a^8\,{\left(-b\right)}^{27/2}\,c^6-120\,a^9\,{\left(-b\right)}^{23/2}\,c^9+4480\,a^9\,{\left(-b\right)}^{25/2}\,c^7+5184\,a^3\,{\left(-b\right)}^{31/2}\,c^8-570\,a^4\,{\left(-b\right)}^{29/2}\,c^9+19200\,a^4\,{\left(-b\right)}^{31/2}\,c^7-16048\,a^5\,{\left(-b\right)}^{29/2}\,c^8+3072\,a^5\,{\left(-b\right)}^{31/2}\,c^6-1984\,a^6\,{\left(-b\right)}^{27/2}\,c^9-28416\,a^6\,{\left(-b\right)}^{29/2}\,c^7+45\,a^7\,{\left(-b\right)}^{25/2}\,c^{10}-11984\,a^7\,{\left(-b\right)}^{27/2}\,c^8-3840\,a^7\,{\left(-b\right)}^{29/2}\,c^6+1698\,a^8\,{\left(-b\right)}^{25/2}\,c^9-7552\,a^8\,{\left(-b\right)}^{27/2}\,c^7+2560\,a^9\,{\left(-b\right)}^{25/2}\,c^8+480\,a^3\,{\left(-b\right)}^{31/2}\,c^9+10912\,a^4\,{\left(-b\right)}^{31/2}\,c^8-1732\,a^5\,{\left(-b\right)}^{29/2}\,c^9+13440\,a^5\,{\left(-b\right)}^{31/2}\,c^7-119\,a^6\,{\left(-b\right)}^{27/2}\,c^{10}-11408\,a^6\,{\left(-b\right)}^{29/2}\,c^8+512\,a^6\,{\left(-b\right)}^{31/2}\,c^6-3568\,a^7\,{\left(-b\right)}^{27/2}\,c^9-7040\,a^7\,{\left(-b\right)}^{29/2}\,c^7+90\,a^8\,{\left(-b\right)}^{25/2}\,c^{10}-7408\,a^8\,{\left(-b\right)}^{27/2}\,c^8+576\,a^9\,{\left(-b\right)}^{25/2}\,c^9-1280\,a^9\,{\left(-b\right)}^{27/2}\,c^7+2160\,a^4\,{\left(-b\right)}^{31/2}\,c^9-35\,a^5\,{\left(-b\right)}^{29/2}\,c^{10}+11968\,a^5\,{\left(-b\right)}^{31/2}\,c^8-1530\,a^6\,{\left(-b\right)}^{29/2}\,c^9+4992\,a^6\,{\left(-b\right)}^{31/2}\,c^7-382\,a^7\,{\left(-b\right)}^{27/2}\,c^{10}-2816\,a^7\,{\left(-b\right)}^{29/2}\,c^8-2720\,a^8\,{\left(-b\right)}^{27/2}\,c^9-512\,a^8\,{\left(-b\right)}^{29/2}\,c^7+45\,a^9\,{\left(-b\right)}^{25/2}\,c^{10}-1664\,a^9\,{\left(-b\right)}^{27/2}\,c^8+129\,a^4\,{\left(-b\right)}^{31/2}\,c^{10}+3856\,a^5\,{\left(-b\right)}^{31/2}\,c^9+10\,a^6\,{\left(-b\right)}^{29/2}\,c^{10}+7152\,a^6\,{\left(-b\right)}^{31/2}\,c^8-10\,a^7\,{\left(-b\right)}^{27/2}\,c^{11}+112\,a^7\,{\left(-b\right)}^{29/2}\,c^9+768\,a^7\,{\left(-b\right)}^{31/2}\,c^7-407\,a^8\,{\left(-b\right)}^{27/2}\,c^{10}+512\,a^8\,{\left(-b\right)}^{29/2}\,c^8-752\,a^9\,{\left(-b\right)}^{27/2}\,c^9+482\,a^5\,{\left(-b\right)}^{31/2}\,c^{10}+8\,a^6\,{\left(-b\right)}^{29/2}\,c^{11}+3408\,a^6\,{\left(-b\right)}^{31/2}\,c^9+221\,a^7\,{\left(-b\right)}^{29/2}\,c^{10}+2176\,a^7\,{\left(-b\right)}^{31/2}\,c^8-20\,a^8\,{\left(-b\right)}^{27/2}\,c^{11}+736\,a^8\,{\left(-b\right)}^{29/2}\,c^9-144\,a^9\,{\left(-b\right)}^{27/2}\,c^{10}+256\,a^9\,{\left(-b\right)}^{29/2}\,c^8+18\,a^5\,{\left(-b\right)}^{31/2}\,c^{11}+673\,a^6\,{\left(-b\right)}^{31/2}\,c^{10}+32\,a^7\,{\left(-b\right)}^{29/2}\,c^{11}+1488\,a^7\,{\left(-b\right)}^{31/2}\,c^9+272\,a^8\,{\left(-b\right)}^{29/2}\,c^{10}+256\,a^8\,{\left(-b\right)}^{31/2}\,c^8-10\,a^9\,{\left(-b\right)}^{27/2}\,c^{11}+256\,a^9\,{\left(-b\right)}^{29/2}\,c^9+52\,a^6\,{\left(-b\right)}^{31/2}\,c^{11}+a^7\,{\left(-b\right)}^{29/2}\,c^{12}+416\,a^7\,{\left(-b\right)}^{31/2}\,c^{10}+40\,a^8\,{\left(-b\right)}^{29/2}\,c^{11}+256\,a^8\,{\left(-b\right)}^{31/2}\,c^9+96\,a^9\,{\left(-b\right)}^{29/2}\,c^{10}+a^6\,{\left(-b\right)}^{31/2}\,c^{12}+50\,a^7\,{\left(-b\right)}^{31/2}\,c^{11}+2\,a^8\,{\left(-b\right)}^{29/2}\,c^{12}+96\,a^8\,{\left(-b\right)}^{31/2}\,c^{10}+16\,a^9\,{\left(-b\right)}^{29/2}\,c^{11}+2\,a^7\,{\left(-b\right)}^{31/2}\,c^{12}+16\,a^8\,{\left(-b\right)}^{31/2}\,c^{11}+a^9\,{\left(-b\right)}^{29/2}\,c^{12}+a^8\,{\left(-b\right)}^{31/2}\,c^{12}-1152\,a\,{\left(-b\right)}^{19/2}\,c-18432\,a\,{\left(-b\right)}^{21/2}\,c+2\,a^6\,{\left(-b\right)}^{9/2}\,c-24\,a^5\,{\left(-b\right)}^{11/2}\,c+4\,a^7\,{\left(-b\right)}^{9/2}\,c+70\,a^4\,{\left(-b\right)}^{13/2}\,c-48\,a^6\,{\left(-b\right)}^{11/2}\,c+2\,a^8\,{\left(-b\right)}^{9/2}\,c-288\,a^3\,{\left(-b\right)}^{15/2}\,c+60\,a^5\,{\left(-b\right)}^{13/2}\,c-8\,a^7\,{\left(-b\right)}^{11/2}\,c+1536\,a^2\,{\left(-b\right)}^{17/2}\,c-656\,a^4\,{\left(-b\right)}^{15/2}\,c-378\,a^6\,{\left(-b\right)}^{13/2}\,c+32\,a^8\,{\left(-b\right)}^{11/2}\,c+8064\,a^3\,{\left(-b\right)}^{17/2}\,c+656\,a^5\,{\left(-b\right)}^{15/2}\,c-784\,a^7\,{\left(-b\right)}^{13/2}\,c+16\,a^9\,{\left(-b\right)}^{11/2}\,c-9600\,a^2\,{\left(-b\right)}^{19/2}\,c+16384\,a^4\,{\left(-b\right)}^{17/2}\,c+3280\,a^6\,{\left(-b\right)}^{15/2}\,c-544\,a^8\,{\left(-b\right)}^{13/2}\,c-30720\,a^3\,{\left(-b\right)}^{19/2}\,c+15616\,a^5\,{\left(-b\right)}^{17/2}\,c+3664\,a^7\,{\left(-b\right)}^{15/2}\,c-128\,a^9\,{\left(-b\right)}^{13/2}\,c-1152\,a\,{\left(-b\right)}^{21/2}\,c^2-46080\,a^2\,{\left(-b\right)}^{21/2}\,c-49920\,a^4\,{\left(-b\right)}^{19/2}\,c+6144\,a^6\,{\left(-b\right)}^{17/2}\,c+1664\,a^8\,{\left(-b\right)}^{15/2}\,c-61440\,a^3\,{\left(-b\right)}^{21/2}\,c-44160\,a^5\,{\left(-b\right)}^{19/2}\,c-128\,a^7\,{\left(-b\right)}^{17/2}\,c+256\,a^9\,{\left(-b\right)}^{15/2}\,c+46080\,a\,{\left(-b\right)}^{23/2}\,c^2-46080\,a^4\,{\left(-b\right)}^{21/2}\,c-20352\,a^6\,{\left(-b\right)}^{19/2}\,c-512\,a^8\,{\left(-b\right)}^{17/2}\,c+9600\,a\,{\left(-b\right)}^{23/2}\,c^3-18432\,a^5\,{\left(-b\right)}^{21/2}\,c-3840\,a^7\,{\left(-b\right)}^{19/2}\,c-3072\,a^6\,{\left(-b\right)}^{21/2}\,c-61440\,a\,{\left(-b\right)}^{25/2}\,c^3-17280\,a\,{\left(-b\right)}^{25/2}\,c^4+46080\,a\,{\left(-b\right)}^{27/2}\,c^4+14976\,a\,{\left(-b\right)}^{27/2}\,c^5-18432\,a\,{\left(-b\right)}^{29/2}\,c^5-6528\,a\,{\left(-b\right)}^{29/2}\,c^6+3072\,a\,{\left(-b\right)}^{31/2}\,c^6+1152\,a\,{\left(-b\right)}^{31/2}\,c^7\right)}{{\left(-b\right)}^{1/4}\,\left(a^{15}\,b^{17}\,c^9+9\,a^{14}\,b^{17}\,c^8+36\,a^{13}\,b^{17}\,c^7+84\,a^{12}\,b^{17}\,c^6+126\,a^{11}\,b^{17}\,c^5+126\,a^{10}\,b^{17}\,c^4+84\,a^9\,b^{17}\,c^3+36\,a^8\,b^{17}\,c^2+9\,a^7\,b^{17}\,c+a^6\,b^{17}\right)}\right)\,1{}\mathrm{i}}{a^2\,b^2}-\frac{\left({\left(-b\right)}^{7/4}\,1{}\mathrm{i}-\frac{a\,{\left(-b\right)}^{3/4}\,\left(4\,b+b\,c+1\right)\,1{}\mathrm{i}}{4}\right)\,\left(\frac{{\left({\left(-b\right)}^{7/4}\,1{}\mathrm{i}-\frac{a\,{\left(-b\right)}^{3/4}\,\left(4\,b+b\,c+1\right)\,1{}\mathrm{i}}{4}\right)}^3\,\left(\frac{64\,\left(36\,a^{12}\,{\left(-b\right)}^{25/4}-4\,a^{13}\,{\left(-b\right)}^{21/4}+48\,a^{13}\,{\left(-b\right)}^{25/4}-60\,a^{11}\,{\left(-b\right)}^{29/4}-240\,a^{12}\,{\left(-b\right)}^{29/4}-192\,a^{13}\,{\left(-b\right)}^{29/4}-180\,a^{10}\,{\left(-b\right)}^{33/4}-240\,a^{11}\,{\left(-b\right)}^{33/4}+192\,a^{12}\,{\left(-b\right)}^{33/4}+240\,a^9\,{\left(-b\right)}^{37/4}+256\,a^{13}\,{\left(-b\right)}^{33/4}+1200\,a^{10}\,{\left(-b\right)}^{37/4}+1728\,a^{11}\,{\left(-b\right)}^{37/4}+320\,a^8\,{\left(-b\right)}^{41/4}+768\,a^{12}\,{\left(-b\right)}^{37/4}+1152\,a^9\,{\left(-b\right)}^{41/4}+1344\,a^{10}\,{\left(-b\right)}^{41/4}+512\,a^{11}\,{\left(-b\right)}^{41/4}-144\,a^{13}\,{\left(-b\right)}^{29/4}\,c^2+912\,a^{12}\,{\left(-b\right)}^{33/4}\,c^2+1344\,a^{13}\,{\left(-b\right)}^{33/4}\,c^2+336\,a^{13}\,{\left(-b\right)}^{33/4}\,c^3-432\,a^{11}\,{\left(-b\right)}^{37/4}\,c^2-4032\,a^{12}\,{\left(-b\right)}^{37/4}\,c^2-1680\,a^{12}\,{\left(-b\right)}^{37/4}\,c^3-4032\,a^{13}\,{\left(-b\right)}^{37/4}\,c^2-4624\,a^{10}\,{\left(-b\right)}^{41/4}\,c^2-2688\,a^{13}\,{\left(-b\right)}^{37/4}\,c^3-9408\,a^{11}\,{\left(-b\right)}^{41/4}\,c^2-504\,a^{13}\,{\left(-b\right)}^{37/4}\,c^4-336\,a^{11}\,{\left(-b\right)}^{41/4}\,c^3-1344\,a^{12}\,{\left(-b\right)}^{41/4}\,c^2+3584\,a^9\,{\left(-b\right)}^{45/4}\,c^2+5376\,a^{12}\,{\left(-b\right)}^{41/4}\,c^3+3584\,a^{13}\,{\left(-b\right)}^{41/4}\,c^2+20160\,a^{10}\,{\left(-b\right)}^{45/4}\,c^2+1848\,a^{12}\,{\left(-b\right)}^{41/4}\,c^4+6720\,a^{13}\,{\left(-b\right)}^{41/4}\,c^3+8848\,a^{10}\,{\left(-b\right)}^{45/4}\,c^3+30912\,a^{11}\,{\left(-b\right)}^{45/4}\,c^2+3360\,a^{13}\,{\left(-b\right)}^{41/4}\,c^4+6720\,a^8\,{\left(-b\right)}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,b^{18}\,c^8+36\,a^{14}\,b^{18}\,c^7+84\,a^{13}\,b^{18}\,c^6+126\,a^{12}\,b^{18}\,c^5+126\,a^{11}\,b^{18}\,c^4+84\,a^{10}\,b^{18}\,c^3+36\,a^9\,b^{18}\,c^2+9\,a^8\,b^{18}\,c+a^7\,b^{18}}+\frac{64\,\left({\left(-b\right)}^{7/4}\,1{}\mathrm{i}-\frac{a\,{\left(-b\right)}^{3/4}\,\left(4\,b+b\,c+1\right)\,1{}\mathrm{i}}{4}\right)\,{\left(-\frac{b\,x-1}{c+x}\right)}^{1/4}\,\left(16\,a^{13}\,{\left(-b\right)}^{11/2}-80\,a^{12}\,{\left(-b\right)}^{13/2}-80\,a^{11}\,{\left(-b\right)}^{15/2}-128\,a^{13}\,{\left(-b\right)}^{13/2}+400\,a^{10}\,{\left(-b\right)}^{17/2}+128\,a^{12}\,{\left(-b\right)}^{15/2}+896\,a^9\,{\left(-b\right)}^{19/2}+1152\,a^{11}\,{\left(-b\right)}^{17/2}+256\,a^{13}\,{\left(-b\right)}^{15/2}+512\,a^8\,{\left(-b\right)}^{21/2}+1920\,a^{10}\,{\left(-b\right)}^{19/2}+768\,a^{12}\,{\left(-b\right)}^{17/2}+1024\,a^9\,{\left(-b\right)}^{21/2}+1024\,a^{11}\,{\left(-b\right)}^{19/2}+512\,a^{10}\,{\left(-b\right)}^{21/2}+448\,a^{13}\,{\left(-b\right)}^{15/2}\,c^2-1344\,a^{12}\,{\left(-b\right)}^{17/2}\,c^2-2624\,a^{11}\,{\left(-b\right)}^{19/2}\,c^2-2688\,a^{13}\,{\left(-b\right)}^{17/2}\,c^2+1088\,a^{10}\,{\left(-b\right)}^{21/2}\,c^2+128\,a^{12}\,{\left(-b\right)}^{19/2}\,c^2-896\,a^{13}\,{\left(-b\right)}^{17/2}\,c^3+9600\,a^9\,{\left(-b\right)}^{23/2}\,c^2+9344\,a^{11}\,{\left(-b\right)}^{21/2}\,c^2+1792\,a^{12}\,{\left(-b\right)}^{19/2}\,c^3+4096\,a^{13}\,{\left(-b\right)}^{19/2}\,c^2+7680\,a^8\,{\left(-b\right)}^{25/2}\,c^2+21888\,a^{10}\,{\left(-b\right)}^{23/2}\,c^2+4096\,a^{11}\,{\left(-b\right)}^{21/2}\,c^3+8704\,a^{12}\,{\left(-b\right)}^{21/2}\,c^2+4480\,a^{13}\,{\left(-b\right)}^{19/2}\,c^3+15360\,a^9\,{\left(-b\right)}^{25/2}\,c^2+3328\,a^{10}\,{\left(-b\right)}^{23/2}\,c^3+12288\,a^{11}\,{\left(-b\right)}^{23/2}\,c^2+128\,a^{12}\,{\left(-b\right)}^{21/2}\,c^3+1120\,a^{13}\,{\left(-b\right)}^{19/2}\,c^4-8320\,a^9\,{\left(-b\right)}^{25/2}\,c^3+7680\,a^{10}\,{\left(-b\right)}^{25/2}\,c^2-4992\,a^{11}\,{\left(-b\right)}^{23/2}\,c^3-1120\,a^{12}\,{\left(-b\right)}^{21/2}\,c^4-6656\,a^{13}\,{\left(-b\right)}^{21/2}\,c^3-10240\,a^8\,{\left(-b\right)}^{27/2}\,c^3-21120\,a^{10}\,{\left(-b\right)}^{25/2}\,c^3-2400\,a^{11}\,{\left(-b\right)}^{23/2}\,c^4-9216\,a^{12}\,{\left(-b\right)}^{23/2}\,c^3-4480\,a^{13}\,{\left(-b\right)}^{21/2}\,c^4-20480\,a^9\,{\left(-b\right)}^{27/2}\,c^3-7200\,a^{10}\,{\left(-b\right)}^{25/2}\,c^4-12800\,a^{11}\,{\left(-b\right)}^{25/2}\,c^3+1920\,a^{12}\,{\left(-b\right)}^{23/2}\,c^4-896\,a^{13}\,{\left(-b\right)}^{21/2}\,c^5+640\,a^9\,{\left(-b\right)}^{27/2}\,c^4-10240\,a^{10}\,{\left(-b\right)}^{27/2}\,c^3-3200\,a^{11}\,{\left(-b\right)}^{25/2}\,c^4+7680\,a^{13}\,{\left(-b\right)}^{23/2}\,c^4+7680\,a^8\,{\left(-b\right)}^{29/2}\,c^4+5760\,a^{10}\,{\left(-b\right)}^{27/2}\,c^4-1280\,a^{11}\,{\left(-b\right)}^{25/2}\,c^5+5120\,a^{12}\,{\left(-b\right)}^{25/2}\,c^4+2688\,a^{13}\,{\left(-b\right)}^{23/2}\,c^5+15360\,a^9\,{\left(-b\right)}^{29/2}\,c^4+5120\,a^{10}\,{\left(-b\right)}^{27/2}\,c^5+5120\,a^{11}\,{\left(-b\right)}^{27/2}\,c^4-5248\,a^{12}\,{\left(-b\right)}^{25/2}\,c^5+448\,a^{13}\,{\left(-b\right)}^{23/2}\,c^6+4224\,a^9\,{\left(-b\right)}^{29/2}\,c^5+7680\,a^{10}\,{\left(-b\right)}^{29/2}\,c^4+3968\,a^{11}\,{\left(-b\right)}^{27/2}\,c^5+448\,a^{12}\,{\left(-b\right)}^{25/2}\,c^6-6656\,a^{13}\,{\left(-b\right)}^{25/2}\,c^5-3072\,a^8\,{\left(-b\right)}^{31/2}\,c^5+5760\,a^{10}\,{\left(-b\right)}^{29/2}\,c^5+2752\,a^{11}\,{\left(-b\right)}^{27/2}\,c^6-2048\,a^{12}\,{\left(-b\right)}^{27/2}\,c^5-896\,a^{13}\,{\left(-b\right)}^{25/2}\,c^6-6144\,a^9\,{\left(-b\right)}^{31/2}\,c^5-704\,a^{10}\,{\left(-b\right)}^{29/2}\,c^6+1536\,a^{11}\,{\left(-b\right)}^{29/2}\,c^5+5504\,a^{12}\,{\left(-b\right)}^{27/2}\,c^6-128\,a^{13}\,{\left(-b\right)}^{25/2}\,c^7-2944\,a^9\,{\left(-b\right)}^{31/2}\,c^6-3072\,a^{10}\,{\left(-b\right)}^{31/2}\,c^5+384\,a^{11}\,{\left(-b\right)}^{29/2}\,c^6-256\,a^{12}\,{\left(-b\right)}^{27/2}\,c^7+4096\,a^{13}\,{\left(-b\right)}^{27/2}\,c^6+512\,a^8\,{\left(-b\right)}^{33/2}\,c^6-4992\,a^{10}\,{\left(-b\right)}^{31/2}\,c^6-1536\,a^{11}\,{\left(-b\right)}^{29/2}\,c^7+1536\,a^{12}\,{\left(-b\right)}^{29/2}\,c^6+128\,a^{13}\,{\left(-b\right)}^{27/2}\,c^7+1024\,a^9\,{\left(-b\right)}^{33/2}\,c^6-768\,a^{10}\,{\left(-b\right)}^{31/2}\,c^7-2048\,a^{11}\,{\left(-b\right)}^{31/2}\,c^6-2688\,a^{12}\,{\left(-b\right)}^{29/2}\,c^7+16\,a^{13}\,{\left(-b\right)}^{27/2}\,c^8+640\,a^9\,{\left(-b\right)}^{33/2}\,c^7+512\,a^{10}\,{\left(-b\right)}^{33/2}\,c^6-1664\,a^{11}\,{\left(-b\right)}^{31/2}\,c^7+48\,a^{12}\,{\left(-b\right)}^{29/2}\,c^8-1536\,a^{13}\,{\left(-b\right)}^{29/2}\,c^7+1152\,a^{10}\,{\left(-b\right)}^{33/2}\,c^7+304\,a^{11}\,{\left(-b\right)}^{31/2}\,c^8-1024\,a^{12}\,{\left(-b\right)}^{31/2}\,c^7+272\,a^{10}\,{\left(-b\right)}^{33/2}\,c^8+512\,a^{11}\,{\left(-b\right)}^{33/2}\,c^7+512\,a^{12}\,{\left(-b\right)}^{31/2}\,c^8+512\,a^{11}\,{\left(-b\right)}^{33/2}\,c^8+256\,a^{13}\,{\left(-b\right)}^{31/2}\,c^8+256\,a^{12}\,{\left(-b\right)}^{33/2}\,c^8-128\,a^{13}\,{\left(-b\right)}^{13/2}\,c+512\,a^{12}\,{\left(-b\right)}^{15/2}\,c+768\,a^{11}\,{\left(-b\right)}^{17/2}\,c+896\,a^{13}\,{\left(-b\right)}^{15/2}\,c-1536\,a^{10}\,{\left(-b\right)}^{19/2}\,c-384\,a^{12}\,{\left(-b\right)}^{17/2}\,c-4736\,a^9\,{\left(-b\right)}^{21/2}\,c-5504\,a^{11}\,{\left(-b\right)}^{19/2}\,c-1536\,a^{13}\,{\left(-b\right)}^{17/2}\,c-3072\,a^8\,{\left(-b\right)}^{23/2}\,c-10368\,a^{10}\,{\left(-b\right)}^{21/2}\,c-4096\,a^{12}\,{\left(-b\right)}^{19/2}\,c-6144\,a^9\,{\left(-b\right)}^{23/2}\,c-5632\,a^{11}\,{\left(-b\right)}^{21/2}\,c-3072\,a^{10}\,{\left(-b\right)}^{23/2}\,c\right)}{a^2\,{\left(-b\right)}^{9/4}\,\left(a^{15}\,b^{17}\,c^9+9\,a^{14}\,b^{17}\,c^8+36\,a^{13}\,b^{17}\,c^7+84\,a^{12}\,b^{17}\,c^6+126\,a^{11}\,b^{17}\,c^5+126\,a^{10}\,b^{17}\,c^4+84\,a^9\,b^{17}\,c^3+36\,a^8\,b^{17}\,c^2+9\,a^7\,b^{17}\,c+a^6\,b^{17}\right)}\right)}{a^6\,b^6}-\frac{64\,{\left(-\frac{b\,x-1}{c+x}\right)}^{1/4}\,\left(512\,{\left(-b\right)}^{19/2}+a^5\,{\left(-b\right)}^{9/2}+a^4\,{\left(-b\right)}^{11/2}+2\,a^6\,{\left(-b\right)}^{9/2}-16\,a^3\,{\left(-b\right)}^{13/2}+18\,a^5\,{\left(-b\right)}^{11/2}+a^7\,{\left(-b\right)}^{9/2}-144\,a^2\,{\left(-b\right)}^{15/2}-176\,a^4\,{\left(-b\right)}^{13/2}+49\,a^6\,{\left(-b\right)}^{11/2}-576\,a^3\,{\left(-b\right)}^{15/2}-560\,a^5\,{\left(-b\right)}^{13/2}+48\,a^7\,{\left(-b\right)}^{11/2}+2688\,a^2\,{\left(-b\right)}^{17/2}-608\,a^4\,{\left(-b\right)}^{15/2}-784\,a^6\,{\left(-b\right)}^{13/2}+16\,a^8\,{\left(-b\right)}^{11/2}+7680\,a^3\,{\left(-b\right)}^{17/2}+448\,a^5\,{\left(-b\right)}^{15/2}-512\,a^7\,{\left(-b\right)}^{13/2}+7680\,a^2\,{\left(-b\right)}^{19/2}+11520\,a^4\,{\left(-b\right)}^{17/2}+1392\,a^6\,{\left(-b\right)}^{15/2}-128\,a^8\,{\left(-b\right)}^{13/2}+10240\,a^3\,{\left(-b\right)}^{19/2}+9600\,a^5\,{\left(-b\right)}^{17/2}+1024\,a^7\,{\left(-b\right)}^{15/2}+7680\,a^4\,{\left(-b\right)}^{19/2}+4224\,a^6\,{\left(-b\right)}^{17/2}+256\,a^8\,{\left(-b\right)}^{15/2}+3072\,a^5\,{\left(-b\right)}^{19/2}+768\,a^7\,{\left(-b\right)}^{17/2}+512\,a^6\,{\left(-b\right)}^{19/2}+7680\,{\left(-b\right)}^{23/2}\,c^2-10240\,{\left(-b\right)}^{25/2}\,c^3+7680\,{\left(-b\right)}^{27/2}\,c^4-3072\,{\left(-b\right)}^{29/2}\,c^5+512\,{\left(-b\right)}^{31/2}\,c^6+384\,a\,{\left(-b\right)}^{17/2}+3072\,a\,{\left(-b\right)}^{19/2}-3072\,{\left(-b\right)}^{21/2}\,c+a^7\,{\left(-b\right)}^{9/2}\,c^2-35\,a^6\,{\left(-b\right)}^{11/2}\,c^2+2\,a^8\,{\left(-b\right)}^{9/2}\,c^2+265\,a^5\,{\left(-b\right)}^{13/2}\,c^2-86\,a^7\,{\left(-b\right)}^{11/2}\,c^2+a^9\,{\left(-b\right)}^{9/2}\,c^2-851\,a^4\,{\left(-b\right)}^{15/2}\,c^2+738\,a^6\,{\left(-b\right)}^{13/2}\,c^2-10\,a^7\,{\left(-b\right)}^{11/2}\,c^3-67\,a^8\,{\left(-b\right)}^{11/2}\,c^2+2496\,a^3\,{\left(-b\right)}^{17/2}\,c^2-2566\,a^5\,{\left(-b\right)}^{15/2}\,c^2+224\,a^6\,{\left(-b\right)}^{13/2}\,c^3+649\,a^7\,{\left(-b\right)}^{13/2}\,c^2-20\,a^8\,{\left(-b\right)}^{11/2}\,c^3-16\,a^9\,{\left(-b\right)}^{11/2}\,c^2-5184\,a^2\,{\left(-b\right)}^{19/2}\,c^2+10432\,a^4\,{\left(-b\right)}^{17/2}\,c^2-1358\,a^5\,{\left(-b\right)}^{15/2}\,c^3-1907\,a^6\,{\left(-b\right)}^{15/2}\,c^2+592\,a^7\,{\left(-b\right)}^{13/2}\,c^3+144\,a^8\,{\left(-b\right)}^{13/2}\,c^2-10\,a^9\,{\left(-b\right)}^{11/2}\,c^3-31104\,a^3\,{\left(-b\right)}^{19/2}\,c^2+3784\,a^4\,{\left(-b\right)}^{17/2}\,c^3+14912\,a^5\,{\left(-b\right)}^{17/2}\,c^2-4364\,a^6\,{\left(-b\right)}^{15/2}\,c^3+45\,a^7\,{\left(-b\right)}^{13/2}\,c^4+1120\,a^7\,{\left(-b\right)}^{15/2}\,c^2+512\,a^8\,{\left(-b\right)}^{13/2}\,c^3-32\,a^9\,{\left(-b\right)}^{13/2}\,c^2+1152\,a^2\,{\left(-b\right)}^{21/2}\,c^2-7552\,a^3\,{\left(-b\right)}^{19/2}\,c^3-74624\,a^4\,{\left(-b\right)}^{19/2}\,c^2+14288\,a^5\,{\left(-b\right)}^{17/2}\,c^3-771\,a^6\,{\left(-b\right)}^{15/2}\,c^4+5824\,a^6\,{\left(-b\right)}^{17/2}\,c^2-4974\,a^7\,{\left(-b\right)}^{15/2}\,c^3+90\,a^8\,{\left(-b\right)}^{13/2}\,c^4+1952\,a^8\,{\left(-b\right)}^{15/2}\,c^2+144\,a^9\,{\left(-b\right)}^{13/2}\,c^3+6912\,a^2\,{\left(-b\right)}^{21/2}\,c^3+23040\,a^3\,{\left(-b\right)}^{21/2}\,c^2-36800\,a^4\,{\left(-b\right)}^{19/2}\,c^3+3874\,a^5\,{\left(-b\right)}^{17/2}\,c^4-91136\,a^5\,{\left(-b\right)}^{19/2}\,c^2+19144\,a^6\,{\left(-b\right)}^{17/2}\,c^3-2118\,a^7\,{\left(-b\right)}^{15/2}\,c^4-5120\,a^7\,{\left(-b\right)}^{17/2}\,c^2-2288\,a^8\,{\left(-b\right)}^{15/2}\,c^3+45\,a^9\,{\left(-b\right)}^{13/2}\,c^4+640\,a^9\,{\left(-b\right)}^{15/2}\,c^2+115200\,a^2\,{\left(-b\right)}^{23/2}\,c^2+49536\,a^3\,{\left(-b\right)}^{21/2}\,c^3-8750\,a^4\,{\left(-b\right)}^{19/2}\,c^4+57600\,a^4\,{\left(-b\right)}^{21/2}\,c^2-68032\,a^5\,{\left(-b\right)}^{19/2}\,c^3+13444\,a^6\,{\left(-b\right)}^{17/2}\,c^4-58944\,a^6\,{\left(-b\right)}^{19/2}\,c^2-120\,a^7\,{\left(-b\right)}^{15/2}\,c^5+9664\,a^7\,{\left(-b\right)}^{17/2}\,c^3-1923\,a^8\,{\left(-b\right)}^{15/2}\,c^4-5248\,a^8\,{\left(-b\right)}^{17/2}\,c^2-320\,a^9\,{\left(-b\right)}^{15/2}\,c^3+44160\,a^2\,{\left(-b\right)}^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ht)}^{27/2}\,c^{11}+112\,a^7\,{\left(-b\right)}^{29/2}\,c^9+768\,a^7\,{\left(-b\right)}^{31/2}\,c^7-407\,a^8\,{\left(-b\right)}^{27/2}\,c^{10}+512\,a^8\,{\left(-b\right)}^{29/2}\,c^8-752\,a^9\,{\left(-b\right)}^{27/2}\,c^9+482\,a^5\,{\left(-b\right)}^{31/2}\,c^{10}+8\,a^6\,{\left(-b\right)}^{29/2}\,c^{11}+3408\,a^6\,{\left(-b\right)}^{31/2}\,c^9+221\,a^7\,{\left(-b\right)}^{29/2}\,c^{10}+2176\,a^7\,{\left(-b\right)}^{31/2}\,c^8-20\,a^8\,{\left(-b\right)}^{27/2}\,c^{11}+736\,a^8\,{\left(-b\right)}^{29/2}\,c^9-144\,a^9\,{\left(-b\right)}^{27/2}\,c^{10}+256\,a^9\,{\left(-b\right)}^{29/2}\,c^8+18\,a^5\,{\left(-b\right)}^{31/2}\,c^{11}+673\,a^6\,{\left(-b\right)}^{31/2}\,c^{10}+32\,a^7\,{\left(-b\right)}^{29/2}\,c^{11}+1488\,a^7\,{\left(-b\right)}^{31/2}\,c^9+272\,a^8\,{\left(-b\right)}^{29/2}\,c^{10}+256\,a^8\,{\left(-b\right)}^{31/2}\,c^8-10\,a^9\,{\left(-b\right)}^{27/2}\,c^{11}+256\,a^9\,{\left(-b\right)}^{29/2}\,c^9+52\,a^6\,{\left(-b\right)}^{31/2}\,c^{11}+a^7\,{\left(-b\right)}^{29/2}\,c^{12}+416\,a^7\,{\left(-b\right)}^{31/2}\,c^{10}+40\,a^8\,{\left(-b\right)}^{29/2}\,c^{11}+256\,a^8\,{\left(-b\right)}^{31/2}\,c^9+96\,a^9\,{\left(-b\right)}^{29/2}\,c^{10}+a^6\,{\left(-b\right)}^{31/2}\,c^{12}+50\,a^7\,{\left(-b\right)}^{31/2}\,c^{11}+2\,a^8\,{\left(-b\right)}^{29/2}\,c^{12}+96\,a^8\,{\left(-b\right)}^{31/2}\,c^{10}+16\,a^9\,{\left(-b\right)}^{29/2}\,c^{11}+2\,a^7\,{\left(-b\right)}^{31/2}\,c^{12}+16\,a^8\,{\left(-b\right)}^{31/2}\,c^{11}+a^9\,{\left(-b\right)}^{29/2}\,c^{12}+a^8\,{\left(-b\right)}^{31/2}\,c^{12}-1152\,a\,{\left(-b\right)}^{19/2}\,c-18432\,a\,{\left(-b\right)}^{21/2}\,c+2\,a^6\,{\left(-b\right)}^{9/2}\,c-24\,a^5\,{\left(-b\right)}^{11/2}\,c+4\,a^7\,{\left(-b\right)}^{9/2}\,c+70\,a^4\,{\left(-b\right)}^{13/2}\,c-48\,a^6\,{\left(-b\right)}^{11/2}\,c+2\,a^8\,{\left(-b\right)}^{9/2}\,c-288\,a^3\,{\left(-b\right)}^{15/2}\,c+60\,a^5\,{\left(-b\right)}^{13/2}\,c-8\,a^7\,{\left(-b\right)}^{11/2}\,c+1536\,a^2\,{\left(-b\right)}^{17/2}\,c-656\,a^4\,{\left(-b\right)}^{15/2}\,c-378\,a^6\,{\left(-b\right)}^{13/2}\,c+32\,a^8\,{\left(-b\right)}^{11/2}\,c+8064\,a^3\,{\left(-b\right)}^{17/2}\,c+656\,a^5\,{\left(-b\right)}^{15/2}\,c-784\,a^7\,{\left(-b\right)}^{13/2}\,c+16\,a^9\,{\left(-b\right)}^{11/2}\,c-9600\,a^2\,{\left(-b\right)}^{19/2}\,c+16384\,a^4\,{\left(-b\right)}^{17/2}\,c+3280\,a^6\,{\left(-b\right)}^{15/2}\,c-544\,a^8\,{\left(-b\right)}^{13/2}\,c-30720\,a^3\,{\left(-b\right)}^{19/2}\,c+15616\,a^5\,{\left(-b\right)}^{17/2}\,c+3664\,a^7\,{\left(-b\right)}^{15/2}\,c-128\,a^9\,{\left(-b\right)}^{13/2}\,c-1152\,a\,{\left(-b\right)}^{21/2}\,c^2-46080\,a^2\,{\left(-b\right)}^{21/2}\,c-49920\,a^4\,{\left(-b\right)}^{19/2}\,c+6144\,a^6\,{\left(-b\right)}^{17/2}\,c+1664\,a^8\,{\left(-b\right)}^{15/2}\,c-61440\,a^3\,{\left(-b\right)}^{21/2}\,c-44160\,a^5\,{\left(-b\right)}^{19/2}\,c-128\,a^7\,{\left(-b\right)}^{17/2}\,c+256\,a^9\,{\left(-b\right)}^{15/2}\,c+46080\,a\,{\left(-b\right)}^{23/2}\,c^2-46080\,a^4\,{\left(-b\right)}^{21/2}\,c-20352\,a^6\,{\left(-b\right)}^{19/2}\,c-512\,a^8\,{\left(-b\right)}^{17/2}\,c+9600\,a\,{\left(-b\right)}^{23/2}\,c^3-18432\,a^5\,{\left(-b\right)}^{21/2}\,c-3840\,a^7\,{\left(-b\right)}^{19/2}\,c-3072\,a^6\,{\left(-b\right)}^{21/2}\,c-61440\,a\,{\left(-b\right)}^{25/2}\,c^3-17280\,a\,{\left(-b\right)}^{25/2}\,c^4+46080\,a\,{\left(-b\right)}^{27/2}\,c^4+14976\,a\,{\left(-b\right)}^{27/2}\,c^5-18432\,a\,{\left(-b\right)}^{29/2}\,c^5-6528\,a\,{\left(-b\right)}^{29/2}\,c^6+3072\,a\,{\left(-b\right)}^{31/2}\,c^6+1152\,a\,{\left(-b\right)}^{31/2}\,c^7\right)}{{\left(-b\right)}^{1/4}\,\left(a^{15}\,b^{17}\,c^9+9\,a^{14}\,b^{17}\,c^8+36\,a^{13}\,b^{17}\,c^7+84\,a^{12}\,b^{17}\,c^6+126\,a^{11}\,b^{17}\,c^5+126\,a^{10}\,b^{17}\,c^4+84\,a^9\,b^{17}\,c^3+36\,a^8\,b^{17}\,c^2+9\,a^7\,b^{17}\,c+a^6\,b^{17}\right)}\right)\,1{}\mathrm{i}}{a^2\,b^2}}{\frac{128\,\left(5\,a^4\,{\left(-b\right)}^{21/4}-320\,{\left(-b\right)}^{37/4}+19\,a^5\,{\left(-b\right)}^{21/4}+27\,a^6\,{\left(-b\right)}^{21/4}-55\,a^3\,{\left(-b\right)}^{25/4}+17\,a^7\,{\left(-b\right)}^{21/4}-269\,a^4\,{\left(-b\right)}^{25/4}+4\,a^8\,{\left(-b\right)}^{21/4}-525\,a^5\,{\left(-b\right)}^{25/4}+180\,a^2\,{\left(-b\right)}^{29/4}-511\,a^6\,{\left(-b\right)}^{25/4}+1104\,a^3\,{\left(-b\right)}^{29/4}-248\,a^7\,{\left(-b\right)}^{25/4}+2808\,a^4\,{\left(-b\right)}^{29/4}-48\,a^8\,{\left(-b\right)}^{25/4}+3792\,a^5\,{\left(-b\right)}^{29/4}-784\,a^2\,{\left(-b\right)}^{33/4}+2868\,a^6\,{\left(-b\right)}^{29/4}-2976\,a^3\,{\left(-b\right)}^{33/4}+1152\,a^7\,{\left(-b\right)}^{29/4}-5920\,a^4\,{\left(-b\right)}^{33/4}+192\,a^8\,{\left(-b\right)}^{29/4}-6800\,a^5\,{\left(-b\right)}^{33/4}-6336\,a^2\,{\left(-b\right)}^{37/4}-4560\,a^6\,{\left(-b\right)}^{33/4}-10240\,a^3\,{\left(-b\right)}^{37/4}-1664\,a^7\,{\left(-b\right)}^{33/4}-9920\,a^4\,{\left(-b\right)}^{37/4}-256\,a^8\,{\left(-b\right)}^{33/4}-5760\,a^5\,{\left(-b\right)}^{37/4}-1856\,a^6\,{\left(-b\right)}^{37/4}-256\,a^7\,{\left(-b\right)}^{37/4}-6720\,{\left(-b\right)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,c+a^7\,b^{18}}-\frac{64\,\left({\left(-b\right)}^{7/4}\,1{}\mathrm{i}-\frac{a\,{\left(-b\right)}^{3/4}\,\left(4\,b+b\,c+1\right)\,1{}\mathrm{i}}{4}\right)\,{\left(-\frac{b\,x-1}{c+x}\right)}^{1/4}\,\left(16\,a^{13}\,{\left(-b\right)}^{11/2}-80\,a^{12}\,{\left(-b\right)}^{13/2}-80\,a^{11}\,{\left(-b\right)}^{15/2}-128\,a^{13}\,{\left(-b\right)}^{13/2}+400\,a^{10}\,{\left(-b\right)}^{17/2}+128\,a^{12}\,{\left(-b\right)}^{15/2}+896\,a^9\,{\left(-b\right)}^{19/2}+1152\,a^{11}\,{\left(-b\right)}^{17/2}+256\,a^{13}\,{\left(-b\right)}^{15/2}+512\,a^8\,{\left(-b\right)}^{21/2}+1920\,a^{10}\,{\left(-b\right)}^{19/2}+768\,a^{12}\,{\left(-b\right)}^{17/2}+1024\,a^9\,{\left(-b\right)}^{21/2}+1024\,a^{11}\,{\left(-b\right)}^{19/2}+512\,a^{10}\,{\left(-b\right)}^{21/2}+448\,a^{13}\,{\left(-b\right)}^{15/2}\,c^2-1344\,a^{12}\,{\left(-b\right)}^{17/2}\,c^2-2624\,a^{11}\,{\left(-b\right)}^{19/2}\,c^2-2688\,a^{13}\,{\left(-b\right)}^{17/2}\,c^2+1088\,a^{10}\,{\left(-b\right)}^{21/2}\,c^2+128\,a^{12}\,{\left(-b\right)}^{19/2}\,c^2-896\,a^{13}\,{\left(-b\right)}^{17/2}\,c^3+9600\,a^9\,{\left(-b\right)}^{23/2}\,c^2+9344\,a^{11}\,{\left(-b\right)}^{21/2}\,c^2+1792\,a^{12}\,{\left(-b\right)}^{19/2}\,c^3+4096\,a^{13}\,{\left(-b\right)}^{19/2}\,c^2+7680\,a^8\,{\left(-b\right)}^{25/2}\,c^2+21888\,a^{10}\,{\left(-b\right)}^{23/2}\,c^2+4096\,a^{11}\,{\left(-b\right)}^{21/2}\,c^3+8704\,a^{12}\,{\left(-b\right)}^{21/2}\,c^2+4480\,a^{13}\,{\left(-b\right)}^{19/2}\,c^3+15360\,a^9\,{\left(-b\right)}^{25/2}\,c^2+3328\,a^{10}\,{\left(-b\right)}^{23/2}\,c^3+12288\,a^{11}\,{\left(-b\right)}^{23/2}\,c^2+128\,a^{12}\,{\left(-b\right)}^{21/2}\,c^3+1120\,a^{13}\,{\left(-b\right)}^{19/2}\,c^4-8320\,a^9\,{\left(-b\right)}^{25/2}\,c^3+7680\,a^{10}\,{\left(-b\right)}^{25/2}\,c^2-4992\,a^{11}\,{\left(-b\right)}^{23/2}\,c^3-1120\,a^{12}\,{\left(-b\right)}^{21/2}\,c^4-6656\,a^{13}\,{\left(-b\right)}^{21/2}\,c^3-10240\,a^8\,{\left(-b\right)}^{27/2}\,c^3-21120\,a^{10}\,{\left(-b\right)}^{25/2}\,c^3-2400\,a^{11}\,{\left(-b\right)}^{23/2}\,c^4-9216\,a^{12}\,{\left(-b\right)}^{23/2}\,c^3-4480\,a^{13}\,{\left(-b\right)}^{21/2}\,c^4-20480\,a^9\,{\left(-b\right)}^{27/2}\,c^3-7200\,a^{10}\,{\left(-b\right)}^{25/2}\,c^4-12800\,a^{11}\,{\left(-b\right)}^{25/2}\,c^3+1920\,a^{12}\,{\left(-b\right)}^{23/2}\,c^4-896\,a^{13}\,{\left(-b\right)}^{21/2}\,c^5+640\,a^9\,{\left(-b\right)}^{27/2}\,c^4-10240\,a^{10}\,{\left(-b\right)}^{27/2}\,c^3-3200\,a^{11}\,{\left(-b\right)}^{25/2}\,c^4+7680\,a^{13}\,{\left(-b\right)}^{23/2}\,c^4+7680\,a^8\,{\left(-b\right)}^{29/2}\,c^4+5760\,a^{10}\,{\left(-b\right)}^{27/2}\,c^4-1280\,a^{11}\,{\left(-b\right)}^{25/2}\,c^5+5120\,a^{12}\,{\left(-b\right)}^{25/2}\,c^4+2688\,a^{13}\,{\left(-b\right)}^{23/2}\,c^5+15360\,a^9\,{\left(-b\right)}^{29/2}\,c^4+5120\,a^{10}\,{\left(-b\right)}^{27/2}\,c^5+5120\,a^{11}\,{\left(-b\right)}^{27/2}\,c^4-5248\,a^{12}\,{\left(-b\right)}^{25/2}\,c^5+448\,a^{13}\,{\left(-b\right)}^{23/2}\,c^6+4224\,a^9\,{\left(-b\right)}^{29/2}\,c^5+7680\,a^{10}\,{\left(-b\right)}^{29/2}\,c^4+3968\,a^{11}\,{\left(-b\right)}^{27/2}\,c^5+448\,a^{12}\,{\left(-b\right)}^{25/2}\,c^6-6656\,a^{13}\,{\left(-b\right)}^{25/2}\,c^5-3072\,a^8\,{\left(-b\right)}^{31/2}\,c^5+5760\,a^{10}\,{\left(-b\right)}^{29/2}\,c^5+2752\,a^{11}\,{\left(-b\right)}^{27/2}\,c^6-2048\,a^{12}\,{\left(-b\right)}^{27/2}\,c^5-896\,a^{13}\,{\left(-b\right)}^{25/2}\,c^6-6144\,a^9\,{\left(-b\right)}^{31/2}\,c^5-704\,a^{10}\,{\left(-b\right)}^{29/2}\,c^6+1536\,a^{11}\,{\left(-b\right)}^{29/2}\,c^5+5504\,a^{12}\,{\left(-b\right)}^{27/2}\,c^6-128\,a^{13}\,{\left(-b\right)}^{25/2}\,c^7-2944\,a^9\,{\left(-b\right)}^{31/2}\,c^6-3072\,a^{10}\,{\left(-b\right)}^{31/2}\,c^5+384\,a^{11}\,{\left(-b\right)}^{29/2}\,c^6-256\,a^{12}\,{\left(-b\right)}^{27/2}\,c^7+4096\,a^{13}\,{\left(-b\right)}^{27/2}\,c^6+512\,a^8\,{\left(-b\right)}^{33/2}\,c^6-4992\,a^{10}\,{\left(-b\right)}^{31/2}\,c^6-1536\,a^{11}\,{\left(-b\right)}^{29/2}\,c^7+1536\,a^{12}\,{\left(-b\right)}^{29/2}\,c^6+128\,a^{13}\,{\left(-b\right)}^{27/2}\,c^7+1024\,a^9\,{\left(-b\right)}^{33/2}\,c^6-768\,a^{10}\,{\left(-b\right)}^{31/2}\,c^7-2048\,a^{11}\,{\left(-b\right)}^{31/2}\,c^6-2688\,a^{12}\,{\left(-b\right)}^{29/2}\,c^7+16\,a^{13}\,{\left(-b\right)}^{27/2}\,c^8+640\,a^9\,{\left(-b\right)}^{33/2}\,c^7+512\,a^{10}\,{\left(-b\right)}^{33/2}\,c^6-1664\,a^{11}\,{\left(-b\right)}^{31/2}\,c^7+48\,a^{12}\,{\left(-b\right)}^{29/2}\,c^8-1536\,a^{13}\,{\left(-b\right)}^{29/2}\,c^7+1152\,a^{10}\,{\left(-b\right)}^{33/2}\,c^7+304\,a^{11}\,{\left(-b\right)}^{31/2}\,c^8-1024\,a^{12}\,{\left(-b\right)}^{31/2}\,c^7+272\,a^{10}\,{\left(-b\right)}^{33/2}\,c^8+512\,a^{11}\,{\left(-b\right)}^{33/2}\,c^7+512\,a^{12}\,{\left(-b\right)}^{31/2}\,c^8+512\,a^{11}\,{\left(-b\right)}^{33/2}\,c^8+256\,a^{13}\,{\left(-b\right)}^{31/2}\,c^8+256\,a^{12}\,{\left(-b\right)}^{33/2}\,c^8-128\,a^{13}\,{\left(-b\right)}^{13/2}\,c+512\,a^{12}\,{\left(-b\right)}^{15/2}\,c+768\,a^{11}\,{\left(-b\right)}^{17/2}\,c+896\,a^{13}\,{\left(-b\right)}^{15/2}\,c-1536\,a^{10}\,{\left(-b\right)}^{19/2}\,c-384\,a^{12}\,{\left(-b\right)}^{17/2}\,c-4736\,a^9\,{\left(-b\right)}^{21/2}\,c-5504\,a^{11}\,{\left(-b\right)}^{19/2}\,c-1536\,a^{13}\,{\left(-b\right)}^{17/2}\,c-3072\,a^8\,{\left(-b\right)}^{23/2}\,c-10368\,a^{10}\,{\left(-b\right)}^{21/2}\,c-4096\,a^{12}\,{\left(-b\right)}^{19/2}\,c-6144\,a^9\,{\left(-b\right)}^{23/2}\,c-5632\,a^{11}\,{\left(-b\right)}^{21/2}\,c-3072\,a^{10}\,{\left(-b\right)}^{23/2}\,c\right)}{a^2\,{\left(-b\right)}^{9/4}\,\left(a^{15}\,b^{17}\,c^9+9\,a^{14}\,b^{17}\,c^8+36\,a^{13}\,b^{17}\,c^7+84\,a^{12}\,b^{17}\,c^6+126\,a^{11}\,b^{17}\,c^5+126\,a^{10}\,b^{17}\,c^4+84\,a^9\,b^{17}\,c^3+36\,a^8\,b^{17}\,c^2+9\,a^7\,b^{17}\,c+a^6\,b^{17}\right)}\right)}{a^6\,b^6}+\frac{64\,{\left(-\frac{b\,x-1}{c+x}\right)}^{1/4}\,\left(512\,{\left(-b\right)}^{19/2}+a^5\,{\left(-b\right)}^{9/2}+a^4\,{\left(-b\right)}^{11/2}+2\,a^6\,{\left(-b\right)}^{9/2}-16\,a^3\,{\left(-b\right)}^{13/2}+18\,a^5\,{\left(-b\right)}^{11/2}+a^7\,{\left(-b\right)}^{9/2}-144\,a^2\,{\left(-b\right)}^{15/2}-176\,a^4\,{\left(-b\right)}^{13/2}+49\,a^6\,{\left(-b\right)}^{11/2}-576\,a^3\,{\left(-b\right)}^{15/2}-560\,a^5\,{\left(-b\right)}^{13/2}+48\,a^7\,{\left(-b\right)}^{11/2}+2688\,a^2\,{\left(-b\right)}^{17/2}-608\,a^4\,{\left(-b\right)}^{15/2}-784\,a^6\,{\left(-b\right)}^{13/2}+16\,a^8\,{\left(-b\right)}^{11/2}+7680\,a^3\,{\left(-b\right)}^{17/2}+448\,a^5\,{\left(-b\right)}^{15/2}-512\,a^7\,{\left(-b\right)}^{13/2}+7680\,a^2\,{\left(-b\right)}^{19/2}+11520\,a^4\,{\left(-b\right)}^{17/2}+1392\,a^6\,{\left(-b\right)}^{15/2}-128\,a^8\,{\left(-b\right)}^{13/2}+10240\,a^3\,{\left(-b\right)}^{19/2}+9600\,a^5\,{\left(-b\right)}^{17/2}+1024\,a^7\,{\left(-b\right)}^{15/2}+7680\,a^4\,{\left(-b\right)}^{19/2}+4224\,a^6\,{\left(-b\right)}^{17/2}+256\,a^8\,{\left(-b\right)}^{15/2}+3072\,a^5\,{\left(-b\right)}^{19/2}+768\,a^7\,{\left(-b\right)}^{17/2}+512\,a^6\,{\left(-b\right)}^{19/2}+7680\,{\left(-b\right)}^{23/2}\,c^2-10240\,{\left(-b\right)}^{25/2}\,c^3+7680\,{\left(-b\right)}^{27/2}\,c^4-3072\,{\left(-b\right)}^{29/2}\,c^5+512\,{\left(-b\right)}^{31/2}\,c^6+384\,a\,{\left(-b\right)}^{17/2}+3072\,a\,{\left(-b\right)}^{19/2}-3072\,{\left(-b\right)}^{21/2}\,c+a^7\,{\left(-b\right)}^{9/2}\,c^2-35\,a^6\,{\left(-b\right)}^{11/2}\,c^2+2\,a^8\,{\left(-b\right)}^{9/2}\,c^2+265\,a^5\,{\left(-b\right)}^{13/2}\,c^2-86\,a^7\,{\left(-b\right)}^{11/2}\,c^2+a^9\,{\left(-b\right)}^{9/2}\,c^2-851\,a^4\,{\left(-b\right)}^{15/2}\,c^2+738\,a^6\,{\left(-b\right)}^{13/2}\,c^2-10\,a^7\,{\left(-b\right)}^{11/2}\,c^3-67\,a^8\,{\left(-b\right)}^{11/2}\,c^2+2496\,a^3\,{\left(-b\right)}^{17/2}\,c^2-2566\,a^5\,{\left(-b\right)}^{15/2}\,c^2+224\,a^6\,{\left(-b\right)}^{13/2}\,c^3+649\,a^7\,{\left(-b\right)}^{13/2}\,c^2-20\,a^8\,{\left(-b\right)}^{11/2}\,c^3-16\,a^9\,{\left(-b\right)}^{11/2}\,c^2-5184\,a^2\,{\left(-b\right)}^{19/2}\,c^2+10432\,a^4\,{\left(-b\right)}^{17/2}\,c^2-1358\,a^5\,{\left(-b\right)}^{15/2}\,c^3-1907\,a^6\,{\left(-b\right)}^{15/2}\,c^2+592\,a^7\,{\left(-b\right)}^{13/2}\,c^3+144\,a^8\,{\left(-b\right)}^{13/2}\,c^2-10\,a^9\,{\left(-b\right)}^{11/2}\,c^3-31104\,a^3\,{\left(-b\right)}^{19/2}\,c^2+3784\,a^4\,{\left(-b\right)}^{17/2}\,c^3+14912\,a^5\,{\left(-b\right)}^{17/2}\,c^2-4364\,a^6\,{\left(-b\right)}^{15/2}\,c^3+45\,a^7\,{\left(-b\right)}^{13/2}\,c^4+1120\,a^7\,{\left(-b\right)}^{15/2}\,c^2+512\,a^8\,{\left(-b\right)}^{13/2}\,c^3-32\,a^9\,{\left(-b\right)}^{13/2}\,c^2+1152\,a^2\,{\left(-b\right)}^{21/2}\,c^2-7552\,a^3\,{\left(-b\right)}^{19/2}\,c^3-74624\,a^4\,{\left(-b\right)}^{19/2}\,c^2+14288\,a^5\,{\left(-b\right)}^{17/2}\,c^3-771\,a^6\,{\left(-b\right)}^{15/2}\,c^4+5824\,a^6\,{\left(-b\right)}^{17/2}\,c^2-4974\,a^7\,{\left(-b\right)}^{15/2}\,c^3+90\,a^8\,{\left(-b\right)}^{13/2}\,c^4+1952\,a^8\,{\left(-b\right)}^{15/2}\,c^2+144\,a^9\,{\left(-b\right)}^{13/2}\,c^3+6912\,a^2\,{\left(-b\right)}^{21/2}\,c^3+23040\,a^3\,{\left(-b\right)}^{21/2}\,c^2-36800\,a^4\,{\left(-b\right)}^{19/2}\,c^3+3874\,a^5\,{\left(-b\right)}^{17/2}\,c^4-91136\,a^5\,{\left(-b\right)}^{19/2}\,c^2+19144\,a^6\,{\left(-b\right)}^{17/2}\,c^3-2118\,a^7\,{\left(-b\right)}^{15/2}\,c^4-5120\,a^7\,{\left(-b\right)}^{17/2}\,c^2-2288\,a^8\,{\left(-b\right)}^{15/2}\,c^3+45\,a^9\,{\left(-b\right)}^{13/2}\,c^4+640\,a^9\,{\left(-b\right)}^{15/2}\,c^2+115200\,a^2\,{\left(-b\right)}^{23/2}\,c^2+49536\,a^3\,{\left(-b\right)}^{21/2}\,c^3-8750\,a^4\,{\left(-b\right)}^{19/2}\,c^4+57600\,a^4\,{\left(-b\right)}^{21/2}\,c^2-68032\,a^5\,{\left(-b\right)}^{19/2}\,c^3+13444\,a^6\,{\left(-b\right)}^{17/2}\,c^4-58944\,a^6\,{\left(-b\right)}^{19/2}\,c^2-120\,a^7\,{\left(-b\right)}^{15/2}\,c^5+9664\,a^7\,{\left(-b\right)}^{17/2}\,c^3-1923\,a^8\,{\left(-b\right)}^{15/2}\,c^4-5248\,a^8\,{\left(-b\right)}^{17/2}\,c^2-320\,a^9\,{\left(-b\right)}^{15/2}\,c^3+44160\,a^2\,{\left(-b\right)}^{23/2}\,c^3+11040\,a^3\,{\left(-b\right)}^{21/2}\,c^4+153600\,a^3\,{\left(-b\right)}^{23/2}\,c^2+137728\,a^4\,{\left(-b\right)}^{21/2}\,c^3-36988\,a^5\,{\left(-b\right)}^{19/2}\,c^4+63360\,a^5\,{\left(-b\right)}^{21/2}\,c^2+1644\,a^6\,{\left(-b\right)}^{17/2}\,c^5-56512\,a^6\,{\left(-b\right)}^{19/2}\,c^3+17058\,a^7\,{\left(-b\right)}^{17/2}\,c^4-18560\,a^7\,{\left(-b\right)}^{19/2}\,c^2-240\,a^8\,{\left(-b\right)}^{15/2}\,c^5+128\,a^8\,{\left(-b\right)}^{17/2}\,c^3-576\,a^9\,{\left(-b\right)}^{15/2}\,c^4-1280\,a^9\,{\left(-b\right)}^{17/2}\,c^2-480\,a^2\,{\left(-b\right)}^{23/2}\,c^4+76800\,a^3\,{\left(-b\right)}^{23/2}\,c^3+60640\,a^4\,{\left(-b\right)}^{21/2}\,c^4+115200\,a^4\,{\left(-b\right)}^{23/2}\,c^2-6776\,a^5\,{\left(-b\right)}^{19/2}\,c^5+193792\,a^5\,{\left(-b\right)}^{21/2}\,c^3-59150\,a^6\,{\left(-b\right)}^{19/2}\,c^4+33408\,a^6\,{\left(-b\right)}^{21/2}\,c^2+4632\,a^7\,{\left(-b\right)}^{17/2}\,c^5-16064\,a^7\,{\left(-b\right)}^{19/2}\,c^3+9280\,a^8\,{\left(-b\right)}^{17/2}\,c^4-2048\,a^8\,{\left(-b\right)}^{19/2}\,c^2-120\,a^9\,{\left(-b\right)}^{15/2}\,c^5-896\,a^9\,{\left(-b\right)}^{17/2}\,c^3-153600\,a^2\,{\left(-b\right)}^{25/2}\,c^3-23040\,a^3\,{\left(-b\right)}^{23/2}\,c^4+11620\,a^4\,{\left(-b\right)}^{21/2}\,c^5+57600\,a^4\,{\left(-b\right)}^{23/2}\,c^3+128864\,a^5\,{\left(-b\right)}^{21/2}\,c^4+46080\,a^5\,{\left(-b\right)}^{23/2}\,c^2-24752\,a^6\,{\left(-b\right)}^{19/2}\,c^5+146688\,a^6\,{\left(-b\right)}^{21/2}\,c^3+210\,a^7\,{\left(-b\right)}^{17/2}\,c^6-43232\,a^7\,{\left(-b\right)}^{19/2}\,c^4+6912\,a^7\,{\left(-b\right)}^{21/2}\,c^2+4332\,a^8\,{\left(-b\right)}^{17/2}\,c^5+3968\,a^8\,{\left(-b\right)}^{19/2}\,c^3+1792\,a^9\,{\left(-b\right)}^{17/2}\,c^4-90240\,a^2\,{\left(-b\right)}^{25/2}\,c^4-7104\,a^3\,{\left(-b\right)}^{23/2}\,c^5-204800\,a^3\,{\left(-b\right)}^{25/2}\,c^3-100160\,a^4\,{\left(-b\right)}^{23/2}\,c^4+53480\,a^5\,{\left(-b\right)}^{21/2}\,c^5+9600\,a^5\,{\left(-b\right)}^{23/2}\,c^3-2310\,a^6\,{\left(-b\right)}^{19/2}\,c^6+131872\,a^6\,{\left(-b\right)}^{21/2}\,c^4+7680\,a^6\,{\left(-b\right)}^{23/2}\,c^2-33432\,a^7\,{\left(-b\right)}^{19/2}\,c^5+56704\,a^7\,{\left(-b\right)}^{21/2}\,c^3+420\,a^8\,{\left(-b\right)}^{17/2}\,c^6-13216\,a^8\,{\left(-b\right)}^{19/2}\,c^4+1344\,a^9\,{\left(-b\right)}^{17/2}\,c^5+2304\,a^9\,{\left(-b\right)}^{19/2}\,c^3-9216\,a^2\,{\left(-b\right)}^{25/2}\,c^5-192000\,a^3\,{\left(-b\right)}^{25/2}\,c^4-48224\,a^4\,{\left(-b\right)}^{23/2}\,c^5-153600\,a^4\,{\left(-b\right)}^{25/2}\,c^3+7546\,a^5\,{\left(-b\right)}^{21/2}\,c^6-179840\,a^5\,{\left(-b\right)}^{23/2}\,c^4+94948\,a^6\,{\left(-b\right)}^{21/2}\,c^5-9600\,a^6\,{\left(-b\right)}^{23/2}\,c^3-6636\,a^7\,{\left(-b\right)}^{19/2}\,c^6+63232\,a^7\,{\left(-b\right)}^{21/2}\,c^4-19712\,a^8\,{\left(-b\right)}^{19/2}\,c^5+8704\,a^8\,{\left(-b\right)}^{21/2}\,c^3+210\,a^9\,{\left(-b\right)}^{17/2}\,c^6-896\,a^9\,{\left(-b\right)}^{19/2}\,c^4+115200\,a^2\,{\left(-b\right)}^{27/2}\,c^4-31104\,a^3\,{\left(-b\right)}^{25/2}\,c^5-8750\,a^4\,{\left(-b\right)}^{23/2}\,c^6-211200\,a^4\,{\left(-b\right)}^{25/2}\,c^4-121120\,a^5\,{\left(-b\right)}^{23/2}\,c^5-61440\,a^5\,{\left(-b\right)}^{25/2}\,c^3+28756\,a^6\,{\left(-b\right)}^{21/2}\,c^6-161760\,a^6\,{\left(-b\right)}^{23/2}\,c^4-252\,a^7\,{\left(-b\right)}^{19/2}\,c^7+80416\,a^7\,{\left(-b\right)}^{21/2}\,c^5-3840\,a^7\,{\left(-b\right)}^{23/2}\,c^3-6342\,a^8\,{\left(-b\right)}^{19/2}\,c^6+9344\,a^8\,{\left(-b\right)}^{21/2}\,c^4-4256\,a^9\,{\left(-b\right)}^{19/2}\,c^5+81792\,a^2\,{\left(-b\right)}^{27/2}\,c^5-832\,a^3\,{\left(-b\right)}^{25/2}\,c^6+153600\,a^3\,{\left(-b\right)}^{27/2}\,c^4-23552\,a^4\,{\left(-b\right)}^{25/2}\,c^5-44380\,a^5\,{\left(-b\right)}^{23/2}\,c^6-124800\,a^5\,{\left(-b\right)}^{25/2}\,c^4+2184\,a^6\,{\left(-b\right)}^{21/2}\,c^7-146336\,a^6\,{\left(-b\right)}^{23/2}\,c^5-10240\,a^6\,{\left(-b\right)}^{25/2}\,c^3+40698\,a^7\,{\left(-b\right)}^{21/2}\,c^6-72320\,a^7\,{\left(-b\right)}^{23/2}\,c^4-504\,a^8\,{\left(-b\right)}^{19/2}\,c^7+31808\,a^8\,{\left(-b\right)}^{21/2}\,c^5-2016\,a^9\,{\left(-b\right)}^{19/2}\,c^6-1280\,a^9\,{\left(-b\right)}^{21/2}\,c^4+10944\,a^2\,{\left(-b\right)}^{27/2}\,c^6+184320\,a^3\,{\left(-b\right)}^{27/2}\,c^5+8896\,a^4\,{\left(-b\right)}^{25/2}\,c^6+115200\,a^4\,{\left(-b\right)}^{27/2}\,c^4-5300\,a^5\,{\left(-b\right)}^{23/2}\,c^7+32512\,a^5\,{\left(-b\right)}^{25/2}\,c^5-86702\,a^6\,{\left(-b\right)}^{23/2}\,c^6-36480\,a^6\,{\left(-b\right)}^{25/2}\,c^4+6384\,a^7\,{\left(-b\right)}^{21/2}\,c^7-87968\,a^7\,{\left(-b\right)}^{23/2}\,c^5+25312\,a^8\,{\left(-b\right)}^{21/2}\,c^6-12800\,a^8\,{\left(-b\right)}^{23/2}\,c^4-252\,a^9\,{\left(-b\right)}^{19/2}\,c^7+4480\,a^9\,{\left(-b\right)}^{21/2}\,c^5-46080\,a^2\,{\left(-b\right)}^{29/2}\,c^5+49536\,a^3\,{\left(-b\right)}^{27/2}\,c^6+3016\,a^4\,{\left(-b\right)}^{25/2}\,c^7+218880\,a^4\,{\left(-b\right)}^{27/2}\,c^5+44864\,a^5\,{\left(-b\right)}^{25/2}\,c^6+46080\,a^5\,{\left(-b\right)}^{27/2}\,c^4-21128\,a^6\,{\left(-b\right)}^{23/2}\,c^7+66048\,a^6\,{\left(-b\right)}^{25/2}\,c^5+210\,a^7\,{\left(-b\right)}^{21/2}\,c^8-81536\,a^7\,{\left(-b\right)}^{23/2}\,c^6-3840\,a^7\,{\left(-b\right)}^{25/2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/4}\,c+300\,a^{11}\,{\left(-b\right)}^{33/4}\,c+1536\,a^{12}\,{\left(-b\right)}^{33/4}\,c+1344\,a^{13}\,{\left(-b\right)}^{33/4}\,c+1380\,a^{10}\,{\left(-b\right)}^{37/4}\,c+2304\,a^{11}\,{\left(-b\right)}^{37/4}\,c-576\,a^{12}\,{\left(-b\right)}^{37/4}\,c-1472\,a^9\,{\left(-b\right)}^{41/4}\,c-1536\,a^{13}\,{\left(-b\right)}^{37/4}\,c-7680\,a^{10}\,{\left(-b\right)}^{41/4}\,c-11328\,a^{11}\,{\left(-b\right)}^{41/4}\,c-2240\,a^8\,{\left(-b\right)}^{45/4}\,c-5120\,a^{12}\,{\left(-b\right)}^{41/4}\,c-8064\,a^9\,{\left(-b\right)}^{45/4}\,c-9408\,a^{10}\,{\left(-b\right)}^{45/4}\,c-3584\,a^{11}\,{\left(-b\right)}^{45/4}\,c\right)}{a^{16}\,b^{18}\,c^9+9\,a^{15}\,b^{18}\,c^8+36\,a^{14}\,b^{18}\,c^7+84\,a^{13}\,b^{18}\,c^6+126\,a^{12}\,b^{18}\,c^5+126\,a^{11}\,b^{18}\,c^4+84\,a^{10}\,b^{18}\,c^3+36\,a^9\,b^{18}\,c^2+9\,a^8\,b^{18}\,c+a^7\,b^{18}}+\frac{64\,\left({\left(-b\right)}^{7/4}\,1{}\mathrm{i}-\frac{a\,{\left(-b\right)}^{3/4}\,\left(4\,b+b\,c+1\right)\,1{}\mathrm{i}}{4}\right)\,{\left(-\frac{b\,x-1}{c+x}\right)}^{1/4}\,\left(16\,a^{13}\,{\left(-b\right)}^{11/2}-80\,a^{12}\,{\left(-b\right)}^{13/2}-80\,a^{11}\,{\left(-b\right)}^{15/2}-128\,a^{13}\,{\left(-b\right)}^{13/2}+400\,a^{10}\,{\left(-b\right)}^{17/2}+128\,a^{12}\,{\left(-b\right)}^{15/2}+896\,a^9\,{\left(-b\right)}^{19/2}+1152\,a^{11}\,{\left(-b\right)}^{17/2}+256\,a^{13}\,{\left(-b\right)}^{15/2}+512\,a^8\,{\left(-b\right)}^{21/2}+1920\,a^{10}\,{\left(-b\right)}^{19/2}+768\,a^{12}\,{\left(-b\right)}^{17/2}+1024\,a^9\,{\left(-b\right)}^{21/2}+1024\,a^{11}\,{\left(-b\right)}^{19/2}+512\,a^{10}\,{\left(-b\right)}^{21/2}+448\,a^{13}\,{\left(-b\right)}^{15/2}\,c^2-1344\,a^{12}\,{\left(-b\right)}^{17/2}\,c^2-2624\,a^{11}\,{\left(-b\right)}^{19/2}\,c^2-2688\,a^{13}\,{\left(-b\right)}^{17/2}\,c^2+1088\,a^{10}\,{\left(-b\right)}^{21/2}\,c^2+128\,a^{12}\,{\left(-b\right)}^{19/2}\,c^2-896\,a^{13}\,{\left(-b\right)}^{17/2}\,c^3+9600\,a^9\,{\left(-b\right)}^{23/2}\,c^2+9344\,a^{11}\,{\left(-b\right)}^{21/2}\,c^2+1792\,a^{12}\,{\left(-b\right)}^{19/2}\,c^3+4096\,a^{13}\,{\left(-b\right)}^{19/2}\,c^2+7680\,a^8\,{\left(-b\right)}^{25/2}\,c^2+21888\,a^{10}\,{\left(-b\right)}^{23/2}\,c^2+4096\,a^{11}\,{\left(-b\right)}^{21/2}\,c^3+8704\,a^{12}\,{\left(-b\right)}^{21/2}\,c^2+4480\,a^{13}\,{\left(-b\right)}^{19/2}\,c^3+15360\,a^9\,{\left(-b\right)}^{25/2}\,c^2+3328\,a^{10}\,{\left(-b\right)}^{23/2}\,c^3+12288\,a^{11}\,{\left(-b\right)}^{23/2}\,c^2+128\,a^{12}\,{\left(-b\right)}^{21/2}\,c^3+1120\,a^{13}\,{\left(-b\right)}^{19/2}\,c^4-8320\,a^9\,{\left(-b\right)}^{25/2}\,c^3+7680\,a^{10}\,{\left(-b\right)}^{25/2}\,c^2-4992\,a^{11}\,{\left(-b\right)}^{23/2}\,c^3-1120\,a^{12}\,{\left(-b\right)}^{21/2}\,c^4-6656\,a^{13}\,{\left(-b\right)}^{21/2}\,c^3-10240\,a^8\,{\left(-b\right)}^{27/2}\,c^3-21120\,a^{10}\,{\left(-b\right)}^{25/2}\,c^3-2400\,a^{11}\,{\left(-b\right)}^{23/2}\,c^4-9216\,a^{12}\,{\left(-b\right)}^{23/2}\,c^3-4480\,a^{13}\,{\left(-b\right)}^{21/2}\,c^4-20480\,a^9\,{\left(-b\right)}^{27/2}\,c^3-7200\,a^{10}\,{\left(-b\right)}^{25/2}\,c^4-12800\,a^{11}\,{\left(-b\right)}^{25/2}\,c^3+1920\,a^{12}\,{\left(-b\right)}^{23/2}\,c^4-896\,a^{13}\,{\left(-b\right)}^{21/2}\,c^5+640\,a^9\,{\left(-b\right)}^{27/2}\,c^4-10240\,a^{10}\,{\left(-b\right)}^{27/2}\,c^3-3200\,a^{11}\,{\left(-b\right)}^{25/2}\,c^4+7680\,a^{13}\,{\left(-b\right)}^{23/2}\,c^4+7680\,a^8\,{\left(-b\right)}^{29/2}\,c^4+5760\,a^{10}\,{\left(-b\right)}^{27/2}\,c^4-1280\,a^{11}\,{\left(-b\right)}^{25/2}\,c^5+5120\,a^{12}\,{\left(-b\right)}^{25/2}\,c^4+2688\,a^{13}\,{\left(-b\right)}^{23/2}\,c^5+15360\,a^9\,{\left(-b\right)}^{29/2}\,c^4+5120\,a^{10}\,{\left(-b\right)}^{27/2}\,c^5+5120\,a^{11}\,{\left(-b\right)}^{27/2}\,c^4-5248\,a^{12}\,{\left(-b\right)}^{25/2}\,c^5+448\,a^{13}\,{\left(-b\right)}^{23/2}\,c^6+4224\,a^9\,{\left(-b\right)}^{29/2}\,c^5+7680\,a^{10}\,{\left(-b\right)}^{29/2}\,c^4+3968\,a^{11}\,{\left(-b\right)}^{27/2}\,c^5+448\,a^{12}\,{\left(-b\right)}^{25/2}\,c^6-6656\,a^{13}\,{\left(-b\right)}^{25/2}\,c^5-3072\,a^8\,{\left(-b\right)}^{31/2}\,c^5+5760\,a^{10}\,{\left(-b\right)}^{29/2}\,c^5+2752\,a^{11}\,{\left(-b\right)}^{27/2}\,c^6-2048\,a^{12}\,{\left(-b\right)}^{27/2}\,c^5-896\,a^{13}\,{\left(-b\right)}^{25/2}\,c^6-6144\,a^9\,{\left(-b\right)}^{31/2}\,c^5-704\,a^{10}\,{\left(-b\right)}^{29/2}\,c^6+1536\,a^{11}\,{\left(-b\right)}^{29/2}\,c^5+5504\,a^{12}\,{\left(-b\right)}^{27/2}\,c^6-128\,a^{13}\,{\left(-b\right)}^{25/2}\,c^7-2944\,a^9\,{\left(-b\right)}^{31/2}\,c^6-3072\,a^{10}\,{\left(-b\right)}^{31/2}\,c^5+384\,a^{11}\,{\left(-b\right)}^{29/2}\,c^6-256\,a^{12}\,{\left(-b\right)}^{27/2}\,c^7+4096\,a^{13}\,{\left(-b\right)}^{27/2}\,c^6+512\,a^8\,{\left(-b\right)}^{33/2}\,c^6-4992\,a^{10}\,{\left(-b\right)}^{31/2}\,c^6-1536\,a^{11}\,{\left(-b\right)}^{29/2}\,c^7+1536\,a^{12}\,{\left(-b\right)}^{29/2}\,c^6+128\,a^{13}\,{\left(-b\right)}^{27/2}\,c^7+1024\,a^9\,{\left(-b\right)}^{33/2}\,c^6-768\,a^{10}\,{\left(-b\right)}^{31/2}\,c^7-2048\,a^{11}\,{\left(-b\right)}^{31/2}\,c^6-2688\,a^{12}\,{\left(-b\right)}^{29/2}\,c^7+16\,a^{13}\,{\left(-b\right)}^{27/2}\,c^8+640\,a^9\,{\left(-b\right)}^{33/2}\,c^7+512\,a^{10}\,{\left(-b\right)}^{33/2}\,c^6-1664\,a^{11}\,{\left(-b\right)}^{31/2}\,c^7+48\,a^{12}\,{\left(-b\right)}^{29/2}\,c^8-1536\,a^{13}\,{\left(-b\right)}^{29/2}\,c^7+1152\,a^{10}\,{\left(-b\right)}^{33/2}\,c^7+304\,a^{11}\,{\left(-b\right)}^{31/2}\,c^8-1024\,a^{12}\,{\left(-b\right)}^{31/2}\,c^7+272\,a^{10}\,{\left(-b\right)}^{33/2}\,c^8+512\,a^{11}\,{\left(-b\right)}^{33/2}\,c^7+512\,a^{12}\,{\left(-b\right)}^{31/2}\,c^8+512\,a^{11}\,{\left(-b\right)}^{33/2}\,c^8+256\,a^{13}\,{\left(-b\right)}^{31/2}\,c^8+256\,a^{12}\,{\left(-b\right)}^{33/2}\,c^8-128\,a^{13}\,{\left(-b\right)}^{13/2}\,c+512\,a^{12}\,{\left(-b\right)}^{15/2}\,c+768\,a^{11}\,{\left(-b\right)}^{17/2}\,c+896\,a^{13}\,{\left(-b\right)}^{15/2}\,c-1536\,a^{10}\,{\left(-b\right)}^{19/2}\,c-384\,a^{12}\,{\left(-b\right)}^{17/2}\,c-4736\,a^9\,{\left(-b\right)}^{21/2}\,c-5504\,a^{11}\,{\left(-b\right)}^{19/2}\,c-1536\,a^{13}\,{\left(-b\right)}^{17/2}\,c-3072\,a^8\,{\left(-b\right)}^{23/2}\,c-10368\,a^{10}\,{\left(-b\right)}^{21/2}\,c-4096\,a^{12}\,{\left(-b\right)}^{19/2}\,c-6144\,a^9\,{\left(-b\right)}^{23/2}\,c-5632\,a^{11}\,{\left(-b\right)}^{21/2}\,c-3072\,a^{10}\,{\left(-b\right)}^{23/2}\,c\right)}{a^2\,{\left(-b\right)}^{9/4}\,\left(a^{15}\,b^{17}\,c^9+9\,a^{14}\,b^{17}\,c^8+36\,a^{13}\,b^{17}\,c^7+84\,a^{12}\,b^{17}\,c^6+126\,a^{11}\,b^{17}\,c^5+126\,a^{10}\,b^{17}\,c^4+84\,a^9\,b^{17}\,c^3+36\,a^8\,b^{17}\,c^2+9\,a^7\,b^{17}\,c+a^6\,b^{17}\right)}\right)}{a^6\,b^6}-\frac{64\,{\left(-\frac{b\,x-1}{c+x}\right)}^{1/4}\,\left(512\,{\left(-b\right)}^{19/2}+a^5\,{\left(-b\right)}^{9/2}+a^4\,{\left(-b\right)}^{11/2}+2\,a^6\,{\left(-b\right)}^{9/2}-16\,a^3\,{\left(-b\right)}^{13/2}+18\,a^5\,{\left(-b\right)}^{11/2}+a^7\,{\left(-b\right)}^{9/2}-144\,a^2\,{\left(-b\right)}^{15/2}-176\,a^4\,{\left(-b\right)}^{13/2}+49\,a^6\,{\left(-b\right)}^{11/2}-576\,a^3\,{\left(-b\right)}^{15/2}-560\,a^5\,{\left(-b\right)}^{13/2}+48\,a^7\,{\left(-b\right)}^{11/2}+2688\,a^2\,{\left(-b\right)}^{17/2}-608\,a^4\,{\left(-b\right)}^{15/2}-784\,a^6\,{\left(-b\right)}^{13/2}+16\,a^8\,{\left(-b\right)}^{11/2}+7680\,a^3\,{\left(-b\right)}^{17/2}+448\,a^5\,{\left(-b\right)}^{15/2}-512\,a^7\,{\left(-b\right)}^{13/2}+7680\,a^2\,{\left(-b\right)}^{19/2}+11520\,a^4\,{\left(-b\right)}^{17/2}+1392\,a^6\,{\left(-b\right)}^{15/2}-128\,a^8\,{\left(-b\right)}^{13/2}+10240\,a^3\,{\left(-b\right)}^{19/2}+9600\,a^5\,{\left(-b\right)}^{17/2}+1024\,a^7\,{\left(-b\right)}^{15/2}+7680\,a^4\,{\left(-b\right)}^{19/2}+4224\,a^6\,{\left(-b\right)}^{17/2}+256\,a^8\,{\left(-b\right)}^{15/2}+3072\,a^5\,{\left(-b\right)}^{19/2}+768\,a^7\,{\left(-b\right)}^{17/2}+512\,a^6\,{\left(-b\right)}^{19/2}+7680\,{\left(-b\right)}^{23/2}\,c^2-10240\,{\left(-b\right)}^{25/2}\,c^3+7680\,{\left(-b\right)}^{27/2}\,c^4-3072\,{\left(-b\right)}^{29/2}\,c^5+512\,{\left(-b\right)}^{31/2}\,c^6+384\,a\,{\left(-b\right)}^{17/2}+3072\,a\,{\left(-b\right)}^{19/2}-3072\,{\left(-b\right)}^{21/2}\,c+a^7\,{\left(-b\right)}^{9/2}\,c^2-35\,a^6\,{\left(-b\right)}^{11/2}\,c^2+2\,a^8\,{\left(-b\right)}^{9/2}\,c^2+265\,a^5\,{\left(-b\right)}^{13/2}\,c^2-86\,a^7\,{\left(-b\right)}^{11/2}\,c^2+a^9\,{\left(-b\right)}^{9/2}\,c^2-851\,a^4\,{\left(-b\right)}^{15/2}\,c^2+738\,a^6\,{\left(-b\right)}^{13/2}\,c^2-10\,a^7\,{\left(-b\right)}^{11/2}\,c^3-67\,a^8\,{\left(-b\right)}^{11/2}\,c^2+2496\,a^3\,{\left(-b\right)}^{17/2}\,c^2-2566\,a^5\,{\left(-b\right)}^{15/2}\,c^2+224\,a^6\,{\left(-b\right)}^{13/2}\,c^3+649\,a^7\,{\left(-b\right)}^{13/2}\,c^2-20\,a^8\,{\left(-b\right)}^{11/2}\,c^3-16\,a^9\,{\left(-b\right)}^{11/2}\,c^2-5184\,a^2\,{\left(-b\right)}^{19/2}\,c^2+10432\,a^4\,{\left(-b\right)}^{17/2}\,c^2-1358\,a^5\,{\left(-b\right)}^{15/2}\,c^3-1907\,a^6\,{\left(-b\right)}^{15/2}\,c^2+592\,a^7\,{\left(-b\right)}^{13/2}\,c^3+144\,a^8\,{\left(-b\right)}^{13/2}\,c^2-10\,a^9\,{\left(-b\right)}^{11/2}\,c^3-31104\,a^3\,{\left(-b\right)}^{19/2}\,c^2+3784\,a^4\,{\left(-b\right)}^{17/2}\,c^3+14912\,a^5\,{\left(-b\right)}^{17/2}\,c^2-4364\,a^6\,{\left(-b\right)}^{15/2}\,c^3+45\,a^7\,{\left(-b\right)}^{13/2}\,c^4+1120\,a^7\,{\left(-b\right)}^{15/2}\,c^2+512\,a^8\,{\left(-b\right)}^{13/2}\,c^3-32\,a^9\,{\left(-b\right)}^{13/2}\,c^2+1152\,a^2\,{\left(-b\right)}^{21/2}\,c^2-7552\,a^3\,{\left(-b\right)}^{19/2}\,c^3-74624\,a^4\,{\left(-b\right)}^{19/2}\,c^2+14288\,a^5\,{\left(-b\right)}^{17/2}\,c^3-771\,a^6\,{\left(-b\right)}^{15/2}\,c^4+5824\,a^6\,{\left(-b\right)}^{17/2}\,c^2-4974\,a^7\,{\left(-b\right)}^{15/2}\,c^3+90\,a^8\,{\left(-b\right)}^{13/2}\,c^4+1952\,a^8\,{\left(-b\right)}^{15/2}\,c^2+144\,a^9\,{\left(-b\right)}^{13/2}\,c^3+6912\,a^2\,{\left(-b\right)}^{21/2}\,c^3+23040\,a^3\,{\left(-b\right)}^{21/2}\,c^2-36800\,a^4\,{\left(-b\right)}^{19/2}\,c^3+3874\,a^5\,{\left(-b\right)}^{17/2}\,c^4-91136\,a^5\,{\left(-b\right)}^{19/2}\,c^2+19144\,a^6\,{\left(-b\right)}^{17/2}\,c^3-2118\,a^7\,{\left(-b\right)}^{15/2}\,c^4-5120\,a^7\,{\left(-b\right)}^{17/2}\,c^2-2288\,a^8\,{\left(-b\right)}^{15/2}\,c^3+45\,a^9\,{\left(-b\right)}^{13/2}\,c^4+640\,a^9\,{\left(-b\right)}^{15/2}\,c^2+115200\,a^2\,{\left(-b\right)}^{23/2}\,c^2+49536\,a^3\,{\left(-b\right)}^{21/2}\,c^3-8750\,a^4\,{\left(-b\right)}^{19/2}\,c^4+57600\,a^4\,{\left(-b\right)}^{21/2}\,c^2-68032\,a^5\,{\left(-b\right)}^{19/2}\,c^3+13444\,a^6\,{\left(-b\right)}^{17/2}\,c^4-58944\,a^6\,{\left(-b\right)}^{19/2}\,c^2-120\,a^7\,{\left(-b\right)}^{15/2}\,c^5+9664\,a^7\,{\left(-b\right)}^{17/2}\,c^3-1923\,a^8\,{\left(-b\right)}^{15/2}\,c^4-5248\,a^8\,{\left(-b\right)}^{17/2}\,c^2-320\,a^9\,{\left(-b\right)}^{15/2}\,c^3+44160\,a^2\,{\left(-b\right)}^{23/2}\,c^3+11040\,a^3\,{\left(-b\right)}^{21/2}\,c^4+153600\,a^3\,{\left(-b\right)}^{23/2}\,c^2+137728\,a^4\,{\left(-b\right)}^{21/2}\,c^3-36988\,a^5\,{\left(-b\right)}^{19/2}\,c^4+63360\,a^5\,{\left(-b\right)}^{21/2}\,c^2+1644\,a^6\,{\left(-b\right)}^{17/2}\,c^5-56512\,a^6\,{\left(-b\right)}^{19/2}\,c^3+17058\,a^7\,{\left(-b\right)}^{17/2}\,c^4-18560\,a^7\,{\left(-b\right)}^{19/2}\,c^2-240\,a^8\,{\left(-b\right)}^{15/2}\,c^5+128\,a^8\,{\left(-b\right)}^{17/2}\,c^3-576\,a^9\,{\left(-b\right)}^{15/2}\,c^4-1280\,a^9\,{\left(-b\right)}^{17/2}\,c^2-480\,a^2\,{\left(-b\right)}^{23/2}\,c^4+76800\,a^3\,{\left(-b\right)}^{23/2}\,c^3+60640\,a^4\,{\left(-b\right)}^{21/2}\,c^4+115200\,a^4\,{\left(-b\right)}^{23/2}\,c^2-6776\,a^5\,{\left(-b\right)}^{19/2}\,c^5+193792\,a^5\,{\left(-b\right)}^{21/2}\,c^3-59150\,a^6\,{\left(-b\right)}^{19/2}\,c^4+33408\,a^6\,{\left(-b\right)}^{21/2}\,c^2+4632\,a^7\,{\left(-b\right)}^{17/2}\,c^5-16064\,a^7\,{\left(-b\right)}^{19/2}\,c^3+9280\,a^8\,{\left(-b\right)}^{17/2}\,c^4-2048\,a^8\,{\left(-b\right)}^{19/2}\,c^2-120\,a^9\,{\left(-b\right)}^{15/2}\,c^5-896\,a^9\,{\left(-b\right)}^{17/2}\,c^3-153600\,a^2\,{\left(-b\right)}^{25/2}\,c^3-23040\,a^3\,{\left(-b\right)}^{23/2}\,c^4+11620\,a^4\,{\left(-b\right)}^{21/2}\,c^5+57600\,a^4\,{\left(-b\right)}^{23/2}\,c^3+128864\,a^5\,{\left(-b\right)}^{21/2}\,c^4+46080\,a^5\,{\left(-b\right)}^{23/2}\,c^2-24752\,a^6\,{\left(-b\right)}^{19/2}\,c^5+146688\,a^6\,{\left(-b\right)}^{21/2}\,c^3+210\,a^7\,{\left(-b\right)}^{17/2}\,c^6-43232\,a^7\,{\left(-b\right)}^{19/2}\,c^4+6912\,a^7\,{\left(-b\right)}^{21/2}\,c^2+4332\,a^8\,{\left(-b\right)}^{17/2}\,c^5+3968\,a^8\,{\left(-b\right)}^{19/2}\,c^3+1792\,a^9\,{\left(-b\right)}^{17/2}\,c^4-90240\,a^2\,{\left(-b\right)}^{25/2}\,c^4-7104\,a^3\,{\left(-b\right)}^{23/2}\,c^5-204800\,a^3\,{\left(-b\right)}^{25/2}\,c^3-100160\,a^4\,{\left(-b\right)}^{23/2}\,c^4+53480\,a^5\,{\left(-b\right)}^{21/2}\,c^5+9600\,a^5\,{\left(-b\right)}^{23/2}\,c^3-2310\,a^6\,{\left(-b\right)}^{19/2}\,c^6+131872\,a^6\,{\left(-b\right)}^{21/2}\,c^4+7680\,a^6\,{\left(-b\right)}^{23/2}\,c^2-33432\,a^7\,{\left(-b\right)}^{19/2}\,c^5+56704\,a^7\,{\left(-b\right)}^{21/2}\,c^3+420\,a^8\,{\left(-b\right)}^{17/2}\,c^6-13216\,a^8\,{\left(-b\right)}^{19/2}\,c^4+1344\,a^9\,{\left(-b\right)}^{17/2}\,c^5+2304\,a^9\,{\left(-b\right)}^{19/2}\,c^3-9216\,a^2\,{\left(-b\right)}^{25/2}\,c^5-192000\,a^3\,{\left(-b\right)}^{25/2}\,c^4-48224\,a^4\,{\left(-b\right)}^{23/2}\,c^5-153600\,a^4\,{\left(-b\right)}^{25/2}\,c^3+7546\,a^5\,{\left(-b\right)}^{21/2}\,c^6-179840\,a^5\,{\left(-b\right)}^{23/2}\,c^4+94948\,a^6\,{\left(-b\right)}^{21/2}\,c^5-9600\,a^6\,{\left(-b\right)}^{23/2}\,c^3-6636\,a^7\,{\left(-b\right)}^{19/2}\,c^6+63232\,a^7\,{\left(-b\right)}^{21/2}\,c^4-19712\,a^8\,{\left(-b\right)}^{19/2}\,c^5+8704\,a^8\,{\left(-b\right)}^{21/2}\,c^3+210\,a^9\,{\left(-b\right)}^{17/2}\,c^6-896\,a^9\,{\left(-b\right)}^{19/2}\,c^4+115200\,a^2\,{\left(-b\right)}^{27/2}\,c^4-31104\,a^3\,{\left(-b\right)}^{25/2}\,c^5-8750\,a^4\,{\left(-b\right)}^{23/2}\,c^6-211200\,a^4\,{\left(-b\right)}^{25/2}\,c^4-121120\,a^5\,{\left(-b\right)}^{23/2}\,c^5-61440\,a^5\,{\left(-b\right)}^{25/2}\,c^3+28756\,a^6\,{\left(-b\right)}^{21/2}\,c^6-161760\,a^6\,{\left(-b\right)}^{23/2}\,c^4-252\,a^7\,{\left(-b\right)}^{19/2}\,c^7+80416\,a^7\,{\left(-b\right)}^{21/2}\,c^5-3840\,a^7\,{\left(-b\right)}^{23/2}\,c^3-6342\,a^8\,{\left(-b\right)}^{19/2}\,c^6+9344\,a^8\,{\left(-b\right)}^{21/2}\,c^4-4256\,a^9\,{\left(-b\right)}^{19/2}\,c^5+81792\,a^2\,{\left(-b\right)}^{27/2}\,c^5-832\,a^3\,{\left(-b\right)}^{25/2}\,c^6+153600\,a^3\,{\left(-b\right)}^{27/2}\,c^4-23552\,a^4\,{\left(-b\right)}^{25/2}\,c^5-44380\,a^5\,{\left(-b\right)}^{23/2}\,c^6-124800\,a^5\,{\left(-b\right)}^{25/2}\,c^4+2184\,a^6\,{\left(-b\right)}^{21/2}\,c^7-146336\,a^6\,{\left(-b\right)}^{23/2}\,c^5-10240\,a^6\,{\left(-b\right)}^{25/2}\,c^3+40698\,a^7\,{\left(-b\right)}^{21/2}\,c^6-72320\,a^7\,{\left(-b\right)}^{23/2}\,c^4-504\,a^8\,{\left(-b\right)}^{19/2}\,c^7+31808\,a^8\,{\left(-b\right)}^{21/2}\,c^5-2016\,a^9\,{\left(-b\right)}^{19/2}\,c^6-1280\,a^9\,{\left(-b\right)}^{21/2}\,c^4+10944\,a^2\,{\left(-b\right)}^{27/2}\,c^6+184320\,a^3\,{\left(-b\right)}^{27/2}\,c^5+8896\,a^4\,{\left(-b\right)}^{25/2}\,c^6+115200\,a^4\,{\left(-b\right)}^{27/2}\,c^4-5300\,a^5\,{\left(-b\right)}^{23/2}\,c^7+32512\,a^5\,{\left(-b\right)}^{25/2}\,c^5-86702\,a^6\,{\left(-b\right)}^{23/2}\,c^6-36480\,a^6\,{\left(-b\right)}^{25/2}\,c^4+6384\,a^7\,{\left(-b\right)}^{21/2}\,c^7-87968\,a^7\,{\left(-b\right)}^{23/2}\,c^5+25312\,a^8\,{\left(-b\right)}^{21/2}\,c^6-12800\,a^8\,{\left(-b\right)}^{23/2}\,c^4-252\,a^9\,{\left(-b\right)}^{19/2}\,c^7+4480\,a^9\,{\left(-b\right)}^{21/2}\,c^5-46080\,a^2\,{\left(-b\right)}^{29/2}\,c^5+49536\,a^3\,{\left(-b\right)}^{27/2}\,c^6+3016\,a^4\,{\left(-b\right)}^{25/2}\,c^7+218880\,a^4\,{\left(-b\right)}^{27/2}\,c^5+44864\,a^5\,{\left(-b\right)}^{25/2}\,c^6+46080\,a^5\,{\left(-b\right)}^{27/2}\,c^4-21128\,a^6\,{\left(-b\right)}^{23/2}\,c^7+66048\,a^6\,{\left(-b\right)}^{25/2}\,c^5+210\,a^7\,{\left(-b\right)}^{21/2}\,c^8-81536\,a^7\,{\left(-b\right)}^{23/2}\,c^6-3840\,a^7\,{\left(-b\right)}^{25/2}\,c^4+6216\,a^8\,{\left(-b\right)}^{21/2}\,c^7-22912\,a^8\,{\left(-b\right)}^{23/2}\,c^5+5824\,a^9\,{\left(-b\right)}^{21/2}\,c^6-36480\,a^2\,{\left(-b\right)}^{29/2}\,c^6+4224\,a^3\,{\left(-b\right)}^{27/2}\,c^7-61440\,a^3\,{\left(-b\right)}^{29/2}\,c^5+86656\,a^4\,{\left(-b\right)}^{27/2}\,c^6+18896\,a^5\,{\left(-b\right)}^{25/2}\,c^7+144000\,a^5\,{\left(-b\right)}^{27/2}\,c^5-1374\,a^6\,{\left(-b\right)}^{23/2}\,c^8+75200\,a^6\,{\left(-b\right)}^{25/2}\,c^6+7680\,a^6\,{\left(-b\right)}^{27/2}\,c^4-31284\,a^7\,{\left(-b\right)}^{23/2}\,c^7+40576\,a^7\,{\left(-b\right)}^{25/2}\,c^5+420\,a^8\,{\left(-b\right)}^{21/2}\,c^8-36736\,a^8\,{\left(-b\right)}^{23/2}\,c^6+2016\,a^9\,{\left(-b\right)}^{21/2}\,c^7-1280\,a^9\,{\left(-b\right)}^{23/2}\,c^5-5376\,a^2\,{\left(-b\right)}^{29/2}\,c^7-84480\,a^3\,{\left(-b\right)}^{29/2}\,c^6+13888\,a^4\,{\left(-b\right)}^{27/2}\,c^7-46080\,a^4\,{\left(-b\right)}^{29/2}\,c^5+2173\,a^5\,{\left(-b\right)}^{25/2}\,c^8+70144\,a^5\,{\left(-b\right)}^{27/2}\,c^6+42952\,a^6\,{\left(-b\right)}^{25/2}\,c^7+49536\,a^6\,{\left(-b\right)}^{27/2}\,c^5-4092\,a^7\,{\left(-b\right)}^{23/2}\,c^8+57856\,a^7\,{\left(-b\right)}^{25/2}\,c^6-20384\,a^8\,{\left(-b\right)}^{23/2}\,c^7+8704\,a^8\,{\left(-b\right)}^{25/2}\,c^5+210\,a^9\,{\left(-b\right)}^{21/2}\,c^8-6272\,a^9\,{\left(-b\right)}^{23/2}\,c^6+7680\,a^2\,{\left(-b\right)}^{31/2}\,c^6-26496\,a^3\,{\left(-b\right)}^{29/2}\,c^7+301\,a^4\,{\left(-b\right)}^{27/2}\,c^8-103680\,a^4\,{\left(-b\right)}^{29/2}\,c^6+12608\,a^5\,{\left(-b\right)}^{27/2}\,c^7-18432\,a^5\,{\left(-b\right)}^{29/2}\,c^5+9274\,a^6\,{\left(-b\right)}^{25/2}\,c^8+21696\,a^6\,{\left(-b\right)}^{27/2}\,c^6-120\,a^7\,{\left(-b\right)}^{23/2}\,c^9+45760\,a^7\,{\left(-b\right)}^{25/2}\,c^7+6912\,a^7\,{\left(-b\right)}^{27/2}\,c^5-4062\,a^8\,{\left(-b\right)}^{23/2}\,c^8+20096\,a^8\,{\left(-b\right)}^{25/2}\,c^6-4928\,a^9\,{\left(-b\right)}^{23/2}\,c^7+6528\,a^2\,{\left(-b\right)}^{31/2}\,c^7-2448\,a^3\,{\left(-b\right)}^{29/2}\,c^8+10240\,a^3\,{\left(-b\right)}^{31/2}\,c^6-52736\,a^4\,{\left(-b\right)}^{29/2}\,c^7-1558\,a^5\,{\left(-b\right)}^{27/2}\,c^8-71040\,a^5\,{\left(-b\right)}^{29/2}\,c^6+546\,a^6\,{\left(-b\right)}^{25/2}\,c^9-4544\,a^6\,{\left(-b\right)}^{27/2}\,c^7-3072\,a^6\,{\left(-b\right)}^{29/2}\,c^5+14589\,a^7\,{\left(-b\right)}^{25/2}\,c^8-2432\,a^7\,{\left(-b\right)}^{27/2}\,c^6-240\,a^8\,{\left(-b\right)}^{23/2}\,c^9+23168\,a^8\,{\left(-b\right)}^{25/2}\,c^7-1344\,a^9\,{\left(-b\right)}^{23/2}\,c^8+2304\,a^9\,{\left(-b\right)}^{25/2}\,c^6+1008\,a^2\,{\left(-b\right)}^{31/2}\,c^8+15360\,a^3\,{\left(-b\right)}^{31/2}\,c^7-10160\,a^4\,{\left(-b\right)}^{29/2}\,c^8+7680\,a^4\,{\left(-b\right)}^{31/2}\,c^6-384\,a^5\,{\left(-b\right)}^{27/2}\,c^9-53504\,a^5\,{\left(-b\right)}^{29/2}\,c^7-8099\,a^6\,{\left(-b\right)}^{27/2}\,c^8-25728\,a^6\,{\left(-b\right)}^{29/2}\,c^6+1668\,a^7\,{\left(-b\right)}^{25/2}\,c^9-13760\,a^7\,{\left(-b\right)}^{27/2}\,c^7+10048\,a^8\,{\left(-b\right)}^{25/2}\,c^8-2048\,a^8\,{\left(-b\right)}^{27/2}\,c^6-120\,a^9\,{\left(-b\right)}^{23/2}\,c^9+4480\,a^9\,{\left(-b\right)}^{25/2}\,c^7+5184\,a^3\,{\left(-b\right)}^{31/2}\,c^8-570\,a^4\,{\left(-b\right)}^{29/2}\,c^9+19200\,a^4\,{\left(-b\right)}^{31/2}\,c^7-16048\,a^5\,{\left(-b\right)}^{29/2}\,c^8+3072\,a^5\,{\left(-b\right)}^{31/2}\,c^6-1984\,a^6\,{\left(-b\right)}^{27/2}\,c^9-28416\,a^6\,{\left(-b\right)}^{29/2}\,c^7+45\,a^7\,{\left(-b\right)}^{25/2}\,c^{10}-11984\,a^7\,{\left(-b\right)}^{27/2}\,c^8-3840\,a^7\,{\left(-b\right)}^{29/2}\,c^6+1698\,a^8\,{\left(-b\right)}^{25/2}\,c^9-7552\,a^8\,{\left(-b\right)}^{27/2}\,c^7+2560\,a^9\,{\left(-b\right)}^{25/2}\,c^8+480\,a^3\,{\left(-b\right)}^{31/2}\,c^9+10912\,a^4\,{\left(-b\right)}^{31/2}\,c^8-1732\,a^5\,{\left(-b\right)}^{29/2}\,c^9+13440\,a^5\,{\left(-b\right)}^{31/2}\,c^7-119\,a^6\,{\left(-b\right)}^{27/2}\,c^{10}-11408\,a^6\,{\left(-b\right)}^{29/2}\,c^8+512\,a^6\,{\left(-b\right)}^{31/2}\,c^6-3568\,a^7\,{\left(-b\right)}^{27/2}\,c^9-7040\,a^7\,{\left(-b\right)}^{29/2}\,c^7+90\,a^8\,{\left(-b\right)}^{25/2}\,c^{10}-7408\,a^8\,{\left(-b\right)}^{27/2}\,c^8+576\,a^9\,{\left(-b\right)}^{25/2}\,c^9-1280\,a^9\,{\left(-b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9/2}\,c^2-120\,a^9\,{\left(-b\right)}^{15/2}\,c^5-896\,a^9\,{\left(-b\right)}^{17/2}\,c^3-153600\,a^2\,{\left(-b\right)}^{25/2}\,c^3-23040\,a^3\,{\left(-b\right)}^{23/2}\,c^4+11620\,a^4\,{\left(-b\right)}^{21/2}\,c^5+57600\,a^4\,{\left(-b\right)}^{23/2}\,c^3+128864\,a^5\,{\left(-b\right)}^{21/2}\,c^4+46080\,a^5\,{\left(-b\right)}^{23/2}\,c^2-24752\,a^6\,{\left(-b\right)}^{19/2}\,c^5+146688\,a^6\,{\left(-b\right)}^{21/2}\,c^3+210\,a^7\,{\left(-b\right)}^{17/2}\,c^6-43232\,a^7\,{\left(-b\right)}^{19/2}\,c^4+6912\,a^7\,{\left(-b\right)}^{21/2}\,c^2+4332\,a^8\,{\left(-b\right)}^{17/2}\,c^5+3968\,a^8\,{\left(-b\right)}^{19/2}\,c^3+1792\,a^9\,{\left(-b\right)}^{17/2}\,c^4-90240\,a^2\,{\left(-b\right)}^{25/2}\,c^4-7104\,a^3\,{\left(-b\right)}^{23/2}\,c^5-204800\,a^3\,{\left(-b\right)}^{25/2}\,c^3-100160\,a^4\,{\left(-b\right)}^{23/2}\,c^4+53480\,a^5\,{\left(-b\right)}^{21/2}\,c^5+9600\,a^5\,{\left(-b\right)}^{23/2}\,c^3-2310\,a^6\,{\left(-b\right)}^{19/2}\,c^6+131872\,a^6\,{\left(-b\right)}^{21/2}\,c^4+7680\,a^6\,{\left(-b\right)}^{23/2}\,c^2-33432\,a^7\,{\left(-b\right)}^{19/2}\,c^5+56704\,a^7\,{\left(-b\right)}^{21/2}\,c^3+420\,a^8\,{\left(-b\right)}^{17/2}\,c^6-13216\,a^8\,{\left(-b\right)}^{19/2}\,c^4+1344\,a^9\,{\left(-b\right)}^{17/2}\,c^5+2304\,a^9\,{\left(-b\right)}^{19/2}\,c^3-9216\,a^2\,{\left(-b\right)}^{25/2}\,c^5-192000\,a^3\,{\left(-b\right)}^{25/2}\,c^4-48224\,a^4\,{\left(-b\right)}^{23/2}\,c^5-153600\,a^4\,{\left(-b\right)}^{25/2}\,c^3+7546\,a^5\,{\left(-b\right)}^{21/2}\,c^6-179840\,a^5\,{\left(-b\right)}^{23/2}\,c^4+94948\,a^6\,{\left(-b\right)}^{21/2}\,c^5-9600\,a^6\,{\left(-b\right)}^{23/2}\,c^3-6636\,a^7\,{\left(-b\right)}^{19/2}\,c^6+63232\,a^7\,{\left(-b\right)}^{21/2}\,c^4-19712\,a^8\,{\left(-b\right)}^{19/2}\,c^5+8704\,a^8\,{\left(-b\right)}^{21/2}\,c^3+210\,a^9\,{\left(-b\right)}^{17/2}\,c^6-896\,a^9\,{\left(-b\right)}^{19/2}\,c^4+115200\,a^2\,{\left(-b\right)}^{27/2}\,c^4-31104\,a^3\,{\left(-b\right)}^{25/2}\,c^5-8750\,a^4\,{\left(-b\right)}^{23/2}\,c^6-211200\,a^4\,{\left(-b\right)}^{25/2}\,c^4-121120\,a^5\,{\left(-b\right)}^{23/2}\,c^5-61440\,a^5\,{\left(-b\right)}^{25/2}\,c^3+28756\,a^6\,{\left(-b\right)}^{21/2}\,c^6-161760\,a^6\,{\left(-b\right)}^{23/2}\,c^4-252\,a^7\,{\left(-b\right)}^{19/2}\,c^7+80416\,a^7\,{\left(-b\right)}^{21/2}\,c^5-3840\,a^7\,{\left(-b\right)}^{23/2}\,c^3-6342\,a^8\,{\left(-b\right)}^{19/2}\,c^6+9344\,a^8\,{\left(-b\right)}^{21/2}\,c^4-4256\,a^9\,{\left(-b\right)}^{19/2}\,c^5+81792\,a^2\,{\left(-b\right)}^{27/2}\,c^5-832\,a^3\,{\left(-b\right)}^{25/2}\,c^6+153600\,a^3\,{\left(-b\right)}^{27/2}\,c^4-23552\,a^4\,{\left(-b\right)}^{25/2}\,c^5-44380\,a^5\,{\left(-b\right)}^{23/2}\,c^6-124800\,a^5\,{\left(-b\right)}^{25/2}\,c^4+2184\,a^6\,{\left(-b\right)}^{21/2}\,c^7-146336\,a^6\,{\left(-b\right)}^{23/2}\,c^5-10240\,a^6\,{\left(-b\right)}^{25/2}\,c^3+40698\,a^7\,{\left(-b\right)}^{21/2}\,c^6-72320\,a^7\,{\left(-b\right)}^{23/2}\,c^4-504\,a^8\,{\left(-b\right)}^{19/2}\,c^7+31808\,a^8\,{\left(-b\right)}^{21/2}\,c^5-2016\,a^9\,{\left(-b\right)}^{19/2}\,c^6-1280\,a^9\,{\left(-b\right)}^{21/2}\,c^4+10944\,a^2\,{\left(-b\right)}^{27/2}\,c^6+184320\,a^3\,{\left(-b\right)}^{27/2}\,c^5+8896\,a^4\,{\left(-b\right)}^{25/2}\,c^6+115200\,a^4\,{\left(-b\right)}^{27/2}\,c^4-5300\,a^5\,{\left(-b\right)}^{23/2}\,c^7+32512\,a^5\,{\left(-b\right)}^{25/2}\,c^5-86702\,a^6\,{\left(-b\right)}^{23/2}\,c^6-36480\,a^6\,{\left(-b\right)}^{25/2}\,c^4+6384\,a^7\,{\left(-b\right)}^{21/2}\,c^7-87968\,a^7\,{\left(-b\right)}^{23/2}\,c^5+25312\,a^8\,{\left(-b\right)}^{21/2}\,c^6-12800\,a^8\,{\left(-b\right)}^{23/2}\,c^4-252\,a^9\,{\left(-b\right)}^{19/2}\,c^7+4480\,a^9\,{\left(-b\right)}^{21/2}\,c^5-46080\,a^2\,{\left(-b\right)}^{29/2}\,c^5+49536\,a^3\,{\left(-b\right)}^{27/2}\,c^6+3016\,a^4\,{\left(-b\right)}^{25/2}\,c^7+218880\,a^4\,{\left(-b\right)}^{27/2}\,c^5+44864\,a^5\,{\left(-b\right)}^{25/2}\,c^6+46080\,a^5\,{\left(-b\right)}^{27/2}\,c^4-21128\,a^6\,{\left(-b\right)}^{23/2}\,c^7+66048\,a^6\,{\left(-b\right)}^{25/2}\,c^5+210\,a^7\,{\left(-b\right)}^{21/2}\,c^8-81536\,a^7\,{\left(-b\right)}^{23/2}\,c^6-3840\,a^7\,{\left(-b\right)}^{25/2}\,c^4+6216\,a^8\,{\left(-b\right)}^{21/2}\,c^7-22912\,a^8\,{\left(-b\right)}^{23/2}\,c^5+5824\,a^9\,{\left(-b\right)}^{21/2}\,c^6-36480\,a^2\,{\left(-b\right)}^{29/2}\,c^6+4224\,a^3\,{\left(-b\right)}^{27/2}\,c^7-61440\,a^3\,{\left(-b\right)}^{29/2}\,c^5+86656\,a^4\,{\left(-b\right)}^{27/2}\,c^6+18896\,a^5\,{\left(-b\right)}^{25/2}\,c^7+144000\,a^5\,{\left(-b\right)}^{27/2}\,c^5-1374\,a^6\,{\left(-b\right)}^{23/2}\,c^8+75200\,a^6\,{\left(-b\right)}^{25/2}\,c^6+7680\,a^6\,{\left(-b\right)}^{27/2}\,c^4-31284\,a^7\,{\left(-b\right)}^{23/2}\,c^7+40576\,a^7\,{\left(-b\right)}^{25/2}\,c^5+420\,a^8\,{\left(-b\right)}^{21/2}\,c^8-36736\,a^8\,{\left(-b\right)}^{23/2}\,c^6+2016\,a^9\,{\left(-b\right)}^{21/2}\,c^7-1280\,a^9\,{\left(-b\right)}^{23/2}\,c^5-5376\,a^2\,{\left(-b\right)}^{29/2}\,c^7-84480\,a^3\,{\left(-b\right)}^{29/2}\,c^6+13888\,a^4\,{\left(-b\right)}^{27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2}\,c^{10}+40\,a^8\,{\left(-b\right)}^{29/2}\,c^{11}+256\,a^8\,{\left(-b\right)}^{31/2}\,c^9+96\,a^9\,{\left(-b\right)}^{29/2}\,c^{10}+a^6\,{\left(-b\right)}^{31/2}\,c^{12}+50\,a^7\,{\left(-b\right)}^{31/2}\,c^{11}+2\,a^8\,{\left(-b\right)}^{29/2}\,c^{12}+96\,a^8\,{\left(-b\right)}^{31/2}\,c^{10}+16\,a^9\,{\left(-b\right)}^{29/2}\,c^{11}+2\,a^7\,{\left(-b\right)}^{31/2}\,c^{12}+16\,a^8\,{\left(-b\right)}^{31/2}\,c^{11}+a^9\,{\left(-b\right)}^{29/2}\,c^{12}+a^8\,{\left(-b\right)}^{31/2}\,c^{12}-1152\,a\,{\left(-b\right)}^{19/2}\,c-18432\,a\,{\left(-b\right)}^{21/2}\,c+2\,a^6\,{\left(-b\right)}^{9/2}\,c-24\,a^5\,{\left(-b\right)}^{11/2}\,c+4\,a^7\,{\left(-b\right)}^{9/2}\,c+70\,a^4\,{\left(-b\right)}^{13/2}\,c-48\,a^6\,{\left(-b\right)}^{11/2}\,c+2\,a^8\,{\left(-b\right)}^{9/2}\,c-288\,a^3\,{\left(-b\right)}^{15/2}\,c+60\,a^5\,{\left(-b\right)}^{13/2}\,c-8\,a^7\,{\left(-b\right)}^{11/2}\,c+1536\,a^2\,{\left(-b\right)}^{17/2}\,c-656\,a^4\,{\left(-b\right)}^{15/2}\,c-378\,a^6\,{\left(-b\right)}^{13/2}\,c+32\,a^8\,{\left(-b\right)}^{11/2}\,c+8064\,a^3\,{\left(-b\right)}^{17/2}\,c+656\,a^5\,{\left(-b\right)}^{15/2}\,c-784\,a^7\,{\left(-b\right)}^{13/2}\,c+16\,a^9\,{\left(-b\right)}^{11/2}\,c-9600\,a^2\,{\left(-b\right)}^{19/2}\,c+16384\,a^4\,{\left(-b\right)}^{17/2}\,c+3280\,a^6\,{\left(-b\right)}^{15/2}\,c-544\,a^8\,{\left(-b\right)}^{13/2}\,c-30720\,a^3\,{\left(-b\right)}^{19/2}\,c+15616\,a^5\,{\left(-b\right)}^{17/2}\,c+3664\,a^7\,{\left(-b\right)}^{15/2}\,c-128\,a^9\,{\left(-b\right)}^{13/2}\,c-1152\,a\,{\left(-b\right)}^{21/2}\,c^2-46080\,a^2\,{\left(-b\right)}^{21/2}\,c-49920\,a^4\,{\left(-b\right)}^{19/2}\,c+6144\,a^6\,{\left(-b\right)}^{17/2}\,c+1664\,a^8\,{\left(-b\right)}^{15/2}\,c-61440\,a^3\,{\left(-b\right)}^{21/2}\,c-44160\,a^5\,{\left(-b\right)}^{19/2}\,c-128\,a^7\,{\left(-b\right)}^{17/2}\,c+256\,a^9\,{\left(-b\right)}^{15/2}\,c+46080\,a\,{\left(-b\right)}^{23/2}\,c^2-46080\,a^4\,{\left(-b\right)}^{21/2}\,c-20352\,a^6\,{\left(-b\right)}^{19/2}\,c-512\,a^8\,{\left(-b\right)}^{17/2}\,c+9600\,a\,{\left(-b\right)}^{23/2}\,c^3-18432\,a^5\,{\left(-b\right)}^{21/2}\,c-3840\,a^7\,{\left(-b\right)}^{19/2}\,c-3072\,a^6\,{\left(-b\right)}^{21/2}\,c-61440\,a\,{\left(-b\right)}^{25/2}\,c^3-17280\,a\,{\left(-b\right)}^{25/2}\,c^4+46080\,a\,{\left(-b\right)}^{27/2}\,c^4+14976\,a\,{\left(-b\right)}^{27/2}\,c^5-18432\,a\,{\left(-b\right)}^{29/2}\,c^5-6528\,a\,{\left(-b\right)}^{29/2}\,c^6+3072\,a\,{\left(-b\right)}^{31/2}\,c^6+1152\,a\,{\left(-b\right)}^{31/2}\,c^7\right)}{{\left(-b\right)}^{1/4}\,\left(a^{15}\,b^{17}\,c^9+9\,a^{14}\,b^{17}\,c^8+36\,a^{13}\,b^{17}\,c^7+84\,a^{12}\,b^{17}\,c^6+126\,a^{11}\,b^{17}\,c^5+126\,a^{10}\,b^{17}\,c^4+84\,a^9\,b^{17}\,c^3+36\,a^8\,b^{17}\,c^2+9\,a^7\,b^{17}\,c+a^6\,b^{17}\right)}+\frac{\left(\frac{64\,\left(36\,a^{12}\,{\left(-b\right)}^{25/4}-4\,a^{13}\,{\left(-b\right)}^{21/4}+48\,a^{13}\,{\left(-b\right)}^{25/4}-60\,a^{11}\,{\left(-b\right)}^{29/4}-240\,a^{12}\,{\left(-b\right)}^{29/4}-192\,a^{13}\,{\left(-b\right)}^{29/4}-180\,a^{10}\,{\left(-b\right)}^{33/4}-240\,a^{11}\,{\left(-b\right)}^{33/4}+192\,a^{12}\,{\left(-b\right)}^{33/4}+240\,a^9\,{\left(-b\right)}^{37/4}+256\,a^{13}\,{\left(-b\right)}^{33/4}+1200\,a^{10}\,{\left(-b\right)}^{37/4}+1728\,a^{11}\,{\left(-b\right)}^{37/4}+320\,a^8\,{\left(-b\right)}^{41/4}+768\,a^{12}\,{\left(-b\right)}^{37/4}+1152\,a^9\,{\left(-b\right)}^{41/4}+1344\,a^{10}\,{\left(-b\right)}^{41/4}+512\,a^{11}\,{\left(-b\right)}^{41/4}-144\,a^{13}\,{\left(-b\right)}^{29/4}\,c^2+912\,a^{12}\,{\left(-b\right)}^{33/4}\,c^2+1344\,a^{13}\,{\left(-b\right)}^{33/4}\,c^2+336\,a^{13}\,{\left(-b\right)}^{33/4}\,c^3-432\,a^{11}\,{\left(-b\right)}^{37/4}\,c^2-4032\,a^{12}\,{\left(-b\right)}^{37/4}\,c^2-1680\,a^{12}\,{\left(-b\right)}^{37/4}\,c^3-4032\,a^{13}\,{\left(-b\right)}^{37/4}\,c^2-4624\,a^{10}\,{\left(-b\right)}^{41/4}\,c^2-2688\,a^{13}\,{\left(-b\right)}^{37/4}\,c^3-9408\,a^{11}\,{\left(-b\right)}^{41/4}\,c^2-504\,a^{13}\,{\left(-b\right)}^{37/4}\,c^4-336\,a^{11}\,{\left(-b\right)}^{41/4}\,c^3-1344\,a^{12}\,{\left(-b\right)}^{41/4}\,c^2+3584\,a^9\,{\left(-b\right)}^{45/4}\,c^2+5376\,a^{12}\,{\left(-b\right)}^{41/4}\,c^3+3584\,a^{13}\,{\left(-b\right)}^{41/4}\,c^2+20160\,a^{10}\,{\left(-b\right)}^{45/4}\,c^2+1848\,a^{12}\,{\left(-b\right)}^{41/4}\,c^4+6720\,a^{13}\,{\left(-b\right)}^{41/4}\,c^3+8848\,a^{10}\,{\left(-b\right)}^{45/4}\,c^3+30912\,a^{11}\,{\left(-b\right)}^{45/4}\,c^2+3360\,a^{13}\,{\left(-b\right)}^{41/4}\,c^4+6720\,a^8\,{\left(-b\right)}^{49/4}\,c^2+21504\,a^{11}\,{\left(-b\right)}^{45/4}\,c^3+14336\,a^{12}\,{\left(-b\right)}^{45/4}\,c^2+504\,a^{13}\,{\left(-b\right)}^{41/4}\,c^5+24192\,a^9\,{\left(-b\right)}^{49/4}\,c^2+1848\,a^{11}\,{\left(-b\right)}^{45/4}\,c^4+9408\,a^{12}\,{\left(-b\right)}^{45/4}\,c^3-4032\,a^9\,{\left(-b\right)}^{49/4}\,c^3+28224\,a^{10}\,{\left(-b\right)}^{49/4}\,c^2-3360\,a^{12}\,{\left(-b\right)}^{45/4}\,c^4-3584\,a^{13}\,{\left(-b\right)}^{45/4}\,c^3-26880\,a^{10}\,{\left(-b\right)}^{49/4}\,c^3+10752\,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eft(-b\right)}^{15/2}-128\,a^{13}\,{\left(-b\right)}^{13/2}+400\,a^{10}\,{\left(-b\right)}^{17/2}+128\,a^{12}\,{\left(-b\right)}^{15/2}+896\,a^9\,{\left(-b\right)}^{19/2}+1152\,a^{11}\,{\left(-b\right)}^{17/2}+256\,a^{13}\,{\left(-b\right)}^{15/2}+512\,a^8\,{\left(-b\right)}^{21/2}+1920\,a^{10}\,{\left(-b\right)}^{19/2}+768\,a^{12}\,{\left(-b\right)}^{17/2}+1024\,a^9\,{\left(-b\right)}^{21/2}+1024\,a^{11}\,{\left(-b\right)}^{19/2}+512\,a^{10}\,{\left(-b\right)}^{21/2}+448\,a^{13}\,{\left(-b\right)}^{15/2}\,c^2-1344\,a^{12}\,{\left(-b\right)}^{17/2}\,c^2-2624\,a^{11}\,{\left(-b\right)}^{19/2}\,c^2-2688\,a^{13}\,{\left(-b\right)}^{17/2}\,c^2+1088\,a^{10}\,{\left(-b\right)}^{21/2}\,c^2+128\,a^{12}\,{\left(-b\right)}^{19/2}\,c^2-896\,a^{13}\,{\left(-b\right)}^{17/2}\,c^3+9600\,a^9\,{\left(-b\right)}^{23/2}\,c^2+9344\,a^{11}\,{\left(-b\right)}^{21/2}\,c^2+1792\,a^{12}\,{\left(-b\right)}^{19/2}\,c^3+4096\,a^{13}\,{\left(-b\right)}^{19/2}\,c^2+7680\,a^8\,{\left(-b\right)}^{25/2}\,c^2+21888\,a^{10}\,{\left(-b\right)}^{23/2}\,c^2+4096\,a^{11}\,{\left(-b\right)}^{21/2}\,c^3+8704\,a^{12}\,{\left(-b\right)}^{21/2}\,c^2+4480\,a^{13}\,{\left(-b\right)}^{19/2}\,c^3+15360\,a^9\,{\left(-b\right)}^{25/2}\,c^2+3328\,a^{10}\,{\left(-b\right)}^{23/2}\,c^3+12288\,a^{11}\,{\left(-b\right)}^{23/2}\,c^2+128\,a^{12}\,{\left(-b\right)}^{21/2}\,c^3+1120\,a^{13}\,{\left(-b\right)}^{19/2}\,c^4-8320\,a^9\,{\left(-b\right)}^{25/2}\,c^3+7680\,a^{10}\,{\left(-b\right)}^{25/2}\,c^2-4992\,a^{11}\,{\left(-b\right)}^{23/2}\,c^3-1120\,a^{12}\,{\left(-b\right)}^{21/2}\,c^4-6656\,a^{13}\,{\left(-b\right)}^{21/2}\,c^3-10240\,a^8\,{\left(-b\right)}^{27/2}\,c^3-21120\,a^{10}\,{\left(-b\right)}^{25/2}\,c^3-2400\,a^{11}\,{\left(-b\right)}^{23/2}\,c^4-9216\,a^{12}\,{\left(-b\right)}^{23/2}\,c^3-4480\,a^{13}\,{\left(-b\right)}^{21/2}\,c^4-20480\,a^9\,{\left(-b\right)}^{27/2}\,c^3-7200\,a^{10}\,{\left(-b\right)}^{25/2}\,c^4-12800\,a^{11}\,{\left(-b\right)}^{25/2}\,c^3+1920\,a^{12}\,{\left(-b\right)}^{23/2}\,c^4-896\,a^{13}\,{\left(-b\right)}^{21/2}\,c^5+640\,a^9\,{\left(-b\right)}^{27/2}\,c^4-10240\,a^{10}\,{\left(-b\right)}^{27/2}\,c^3-3200\,a^{11}\,{\left(-b\right)}^{25/2}\,c^4+7680\,a^{13}\,{\left(-b\right)}^{23/2}\,c^4+7680\,a^8\,{\left(-b\right)}^{29/2}\,c^4+5760\,a^{10}\,{\left(-b\right)}^{27/2}\,c^4-1280\,a^{11}\,{\left(-b\right)}^{25/2}\,c^5+5120\,a^{12}\,{\left(-b\right)}^{25/2}\,c^4+2688\,a^{13}\,{\left(-b\right)}^{23/2}\,c^5+15360\,a^9\,{\left(-b\right)}^{29/2}\,c^4+5120\,a^{10}\,{\left(-b\right)}^{27/2}\,c^5+5120\,a^{11}\,{\left(-b\right)}^{27/2}\,c^4-5248\,a^{12}\,{\left(-b\right)}^{25/2}\,c^5+448\,a^{13}\,{\left(-b\right)}^{23/2}\,c^6+4224\,a^9\,{\left(-b\right)}^{29/2}\,c^5+7680\,a^{10}\,{\left(-b\right)}^{29/2}\,c^4+3968\,a^{11}\,{\left(-b\right)}^{27/2}\,c^5+448\,a^{12}\,{\left(-b\right)}^{25/2}\,c^6-6656\,a^{13}\,{\left(-b\right)}^{25/2}\,c^5-3072\,a^8\,{\left(-b\right)}^{31/2}\,c^5+5760\,a^{10}\,{\left(-b\right)}^{29/2}\,c^5+2752\,a^{11}\,{\left(-b\right)}^{27/2}\,c^6-2048\,a^{12}\,{\left(-b\right)}^{27/2}\,c^5-896\,a^{13}\,{\left(-b\right)}^{25/2}\,c^6-6144\,a^9\,{\left(-b\right)}^{31/2}\,c^5-704\,a^{10}\,{\left(-b\right)}^{29/2}\,c^6+1536\,a^{11}\,{\left(-b\right)}^{29/2}\,c^5+5504\,a^{12}\,{\left(-b\right)}^{27/2}\,c^6-128\,a^{13}\,{\left(-b\right)}^{25/2}\,c^7-2944\,a^9\,{\left(-b\right)}^{31/2}\,c^6-3072\,a^{10}\,{\left(-b\right)}^{31/2}\,c^5+384\,a^{11}\,{\left(-b\right)}^{29/2}\,c^6-256\,a^{12}\,{\left(-b\right)}^{27/2}\,c^7+4096\,a^{13}\,{\left(-b\right)}^{27/2}\,c^6+512\,a^8\,{\left(-b\right)}^{33/2}\,c^6-4992\,a^{10}\,{\left(-b\right)}^{31/2}\,c^6-1536\,a^{11}\,{\left(-b\right)}^{29/2}\,c^7+1536\,a^{12}\,{\left(-b\right)}^{29/2}\,c^6+128\,a^{13}\,{\left(-b\right)}^{27/2}\,c^7+1024\,a^9\,{\left(-b\right)}^{33/2}\,c^6-768\,a^{10}\,{\left(-b\right)}^{31/2}\,c^7-2048\,a^{11}\,{\left(-b\right)}^{31/2}\,c^6-2688\,a^{12}\,{\left(-b\right)}^{29/2}\,c^7+16\,a^{13}\,{\left(-b\right)}^{27/2}\,c^8+640\,a^9\,{\left(-b\right)}^{33/2}\,c^7+512\,a^{10}\,{\left(-b\right)}^{33/2}\,c^6-1664\,a^{11}\,{\left(-b\right)}^{31/2}\,c^7+48\,a^{12}\,{\left(-b\right)}^{29/2}\,c^8-1536\,a^{13}\,{\left(-b\right)}^{29/2}\,c^7+1152\,a^{10}\,{\left(-b\right)}^{33/2}\,c^7+304\,a^{11}\,{\left(-b\right)}^{31/2}\,c^8-1024\,a^{12}\,{\left(-b\right)}^{31/2}\,c^7+272\,a^{10}\,{\left(-b\right)}^{33/2}\,c^8+512\,a^{11}\,{\left(-b\right)}^{33/2}\,c^7+512\,a^{12}\,{\left(-b\right)}^{31/2}\,c^8+512\,a^{11}\,{\left(-b\right)}^{33/2}\,c^8+256\,a^{13}\,{\left(-b\right)}^{31/2}\,c^8+256\,a^{12}\,{\left(-b\right)}^{33/2}\,c^8-128\,a^{13}\,{\left(-b\right)}^{13/2}\,c+512\,a^{12}\,{\left(-b\right)}^{15/2}\,c+768\,a^{11}\,{\left(-b\right)}^{17/2}\,c+896\,a^{13}\,{\left(-b\right)}^{15/2}\,c-1536\,a^{10}\,{\left(-b\right)}^{19/2}\,c-384\,a^{12}\,{\left(-b\right)}^{17/2}\,c-4736\,a^9\,{\left(-b\right)}^{21/2}\,c-5504\,a^{11}\,{\left(-b\right)}^{19/2}\,c-1536\,a^{13}\,{\left(-b\right)}^{17/2}\,c-3072\,a^8\,{\left(-b\right)}^{23/2}\,c-10368\,a^{10}\,{\left(-b\right)}^{21/2}\,c-4096\,a^{12}\,{\left(-b\right)}^{19/2}\,c-6144\,a^9\,{\left(-b\right)}^{23/2}\,c-5632\,a^{11}\,{\left(-b\right)}^{21/2}\,c-3072\,a^{10}\,{\left(-b\right)}^{23/2}\,c\right)}{a^2\,{\left(-b\right)}^{9/4}\,\left(a^{15}\,b^{17}\,c^9+9\,a^{14}\,b^{17}\,c^8+36\,a^{13}\,b^{17}\,c^7+84\,a^{12}\,b^{17}\,c^6+126\,a^{11}\,b^{17}\,c^5+126\,a^{10}\,b^{17}\,c^4+84\,a^9\,b^{17}\,c^3+36\,a^8\,b^{17}\,c^2+9\,a^7\,b^{17}\,c+a^6\,b^{17}\right)}\right)\,{\left(b\,\left({\left(-b\right)}^{3/4}+a\,\left({\left(-b\right)}^{3/4}+\frac{{\left(-b\right)}^{3/4}\,c}{4}\right)\right)+\frac{a\,{\left(-b\right)}^{3/4}}{4}\right)}^3}{a^6\,b^6}\right)\,1{}\mathrm{i}}{a^2\,b^2}+\frac{\left(b\,\left({\left(-b\right)}^{3/4}+a\,\left({\left(-b\right)}^{3/4}+\frac{{\left(-b\right)}^{3/4}\,c}{4}\right)\right)+\frac{a\,{\left(-b\right)}^{3/4}}{4}\right)\,\left(\frac{64\,{\left(-\frac{b\,x-1}{c+x}\right)}^{1/4}\,\left(512\,{\left(-b\right)}^{19/2}+a^5\,{\left(-b\right)}^{9/2}+a^4\,{\left(-b\right)}^{11/2}+2\,a^6\,{\left(-b\right)}^{9/2}-16\,a^3\,{\left(-b\right)}^{13/2}+18\,a^5\,{\left(-b\right)}^{11/2}+a^7\,{\left(-b\right)}^{9/2}-144\,a^2\,{\left(-b\right)}^{15/2}-176\,a^4\,{\left(-b\right)}^{13/2}+49\,a^6\,{\left(-b\right)}^{11/2}-576\,a^3\,{\left(-b\right)}^{15/2}-560\,a^5\,{\left(-b\right)}^{13/2}+48\,a^7\,{\left(-b\right)}^{11/2}+2688\,a^2\,{\left(-b\right)}^{17/2}-608\,a^4\,{\left(-b\right)}^{15/2}-784\,a^6\,{\left(-b\right)}^{13/2}+16\,a^8\,{\left(-b\right)}^{11/2}+7680\,a^3\,{\left(-b\right)}^{17/2}+448\,a^5\,{\left(-b\right)}^{15/2}-512\,a^7\,{\left(-b\right)}^{13/2}+7680\,a^2\,{\left(-b\right)}^{19/2}+11520\,a^4\,{\left(-b\right)}^{17/2}+1392\,a^6\,{\left(-b\right)}^{15/2}-128\,a^8\,{\left(-b\right)}^{13/2}+10240\,a^3\,{\left(-b\right)}^{19/2}+9600\,a^5\,{\left(-b\right)}^{17/2}+1024\,a^7\,{\left(-b\right)}^{15/2}+7680\,a^4\,{\left(-b\right)}^{19/2}+4224\,a^6\,{\left(-b\right)}^{17/2}+256\,a^8\,{\left(-b\right)}^{15/2}+3072\,a^5\,{\left(-b\right)}^{19/2}+768\,a^7\,{\left(-b\right)}^{17/2}+512\,a^6\,{\left(-b\right)}^{19/2}+7680\,{\left(-b\right)}^{23/2}\,c^2-10240\,{\left(-b\right)}^{25/2}\,c^3+7680\,{\left(-b\right)}^{27/2}\,c^4-3072\,{\left(-b\right)}^{29/2}\,c^5+512\,{\left(-b\right)}^{31/2}\,c^6+384\,a\,{\left(-b\right)}^{17/2}+3072\,a\,{\left(-b\right)}^{19/2}-3072\,{\left(-b\right)}^{21/2}\,c+a^7\,{\left(-b\right)}^{9/2}\,c^2-35\,a^6\,{\left(-b\right)}^{11/2}\,c^2+2\,a^8\,{\left(-b\right)}^{9/2}\,c^2+265\,a^5\,{\left(-b\right)}^{13/2}\,c^2-86\,a^7\,{\left(-b\right)}^{11/2}\,c^2+a^9\,{\left(-b\right)}^{9/2}\,c^2-851\,a^4\,{\left(-b\right)}^{15/2}\,c^2+738\,a^6\,{\left(-b\right)}^{13/2}\,c^2-10\,a^7\,{\left(-b\right)}^{11/2}\,c^3-67\,a^8\,{\left(-b\right)}^{11/2}\,c^2+2496\,a^3\,{\left(-b\right)}^{17/2}\,c^2-2566\,a^5\,{\left(-b\right)}^{15/2}\,c^2+224\,a^6\,{\left(-b\right)}^{13/2}\,c^3+649\,a^7\,{\left(-b\right)}^{13/2}\,c^2-20\,a^8\,{\left(-b\right)}^{11/2}\,c^3-16\,a^9\,{\left(-b\right)}^{11/2}\,c^2-5184\,a^2\,{\left(-b\right)}^{19/2}\,c^2+10432\,a^4\,{\left(-b\right)}^{17/2}\,c^2-1358\,a^5\,{\left(-b\right)}^{15/2}\,c^3-1907\,a^6\,{\left(-b\right)}^{15/2}\,c^2+592\,a^7\,{\left(-b\right)}^{13/2}\,c^3+144\,a^8\,{\left(-b\right)}^{13/2}\,c^2-10\,a^9\,{\left(-b\right)}^{11/2}\,c^3-31104\,a^3\,{\left(-b\right)}^{19/2}\,c^2+3784\,a^4\,{\left(-b\right)}^{17/2}\,c^3+14912\,a^5\,{\left(-b\right)}^{17/2}\,c^2-4364\,a^6\,{\left(-b\right)}^{15/2}\,c^3+45\,a^7\,{\left(-b\right)}^{13/2}\,c^4+1120\,a^7\,{\left(-b\right)}^{15/2}\,c^2+512\,a^8\,{\left(-b\right)}^{13/2}\,c^3-32\,a^9\,{\left(-b\right)}^{13/2}\,c^2+1152\,a^2\,{\left(-b\right)}^{21/2}\,c^2-7552\,a^3\,{\left(-b\right)}^{19/2}\,c^3-74624\,a^4\,{\left(-b\right)}^{19/2}\,c^2+14288\,a^5\,{\left(-b\right)}^{17/2}\,c^3-771\,a^6\,{\left(-b\right)}^{15/2}\,c^4+5824\,a^6\,{\left(-b\right)}^{17/2}\,c^2-4974\,a^7\,{\left(-b\right)}^{15/2}\,c^3+90\,a^8\,{\left(-b\right)}^{13/2}\,c^4+1952\,a^8\,{\left(-b\right)}^{15/2}\,c^2+144\,a^9\,{\left(-b\right)}^{13/2}\,c^3+6912\,a^2\,{\left(-b\right)}^{21/2}\,c^3+23040\,a^3\,{\left(-b\right)}^{21/2}\,c^2-36800\,a^4\,{\left(-b\right)}^{19/2}\,c^3+3874\,a^5\,{\left(-b\right)}^{17/2}\,c^4-91136\,a^5\,{\left(-b\right)}^{19/2}\,c^2+19144\,a^6\,{\left(-b\right)}^{17/2}\,c^3-2118\,a^7\,{\left(-b\right)}^{15/2}\,c^4-5120\,a^7\,{\left(-b\right)}^{17/2}\,c^2-2288\,a^8\,{\left(-b\right)}^{15/2}\,c^3+45\,a^9\,{\left(-b\right)}^{13/2}\,c^4+640\,a^9\,{\left(-b\right)}^{15/2}\,c^2+115200\,a^2\,{\left(-b\right)}^{23/2}\,c^2+49536\,a^3\,{\left(-b\right)}^{21/2}\,c^3-8750\,a^4\,{\left(-b\right)}^{19/2}\,c^4+57600\,a^4\,{\left(-b\right)}^{21/2}\,c^2-68032\,a^5\,{\left(-b\right)}^{19/2}\,c^3+13444\,a^6\,{\left(-b\right)}^{17/2}\,c^4-58944\,a^6\,{\left(-b\right)}^{19/2}\,c^2-120\,a^7\,{\left(-b\right)}^{15/2}\,c^5+9664\,a^7\,{\left(-b\right)}^{17/2}\,c^3-1923\,a^8\,{\left(-b\right)}^{15/2}\,c^4-5248\,a^8\,{\left(-b\right)}^{17/2}\,c^2-320\,a^9\,{\left(-b\right)}^{15/2}\,c^3+44160\,a^2\,{\left(-b\right)}^{23/2}\,c^3+11040\,a^3\,{\left(-b\right)}^{21/2}\,c^4+153600\,a^3\,{\left(-b\right)}^{23/2}\,c^2+137728\,a^4\,{\left(-b\right)}^{21/2}\,c^3-36988\,a^5\,{\left(-b\right)}^{19/2}\,c^4+63360\,a^5\,{\left(-b\right)}^{21/2}\,c^2+1644\,a^6\,{\left(-b\right)}^{17/2}\,c^5-56512\,a^6\,{\left(-b\right)}^{19/2}\,c^3+17058\,a^7\,{\left(-b\right)}^{17/2}\,c^4-18560\,a^7\,{\left(-b\right)}^{19/2}\,c^2-240\,a^8\,{\left(-b\right)}^{15/2}\,c^5+128\,a^8\,{\left(-b\right)}^{17/2}\,c^3-576\,a^9\,{\left(-b\right)}^{15/2}\,c^4-1280\,a^9\,{\left(-b\right)}^{17/2}\,c^2-480\,a^2\,{\left(-b\right)}^{23/2}\,c^4+76800\,a^3\,{\left(-b\right)}^{23/2}\,c^3+60640\,a^4\,{\left(-b\right)}^{21/2}\,c^4+115200\,a^4\,{\left(-b\right)}^{23/2}\,c^2-6776\,a^5\,{\left(-b\right)}^{19/2}\,c^5+193792\,a^5\,{\left(-b\right)}^{21/2}\,c^3-59150\,a^6\,{\left(-b\right)}^{19/2}\,c^4+33408\,a^6\,{\left(-b\right)}^{21/2}\,c^2+4632\,a^7\,{\left(-b\right)}^{17/2}\,c^5-16064\,a^7\,{\left(-b\right)}^{19/2}\,c^3+9280\,a^8\,{\left(-b\right)}^{17/2}\,c^4-2048\,a^8\,{\left(-b\right)}^{19/2}\,c^2-120\,a^9\,{\left(-b\right)}^{15/2}\,c^5-896\,a^9\,{\left(-b\right)}^{17/2}\,c^3-153600\,a^2\,{\left(-b\right)}^{25/2}\,c^3-23040\,a^3\,{\left(-b\right)}^{23/2}\,c^4+11620\,a^4\,{\left(-b\right)}^{21/2}\,c^5+57600\,a^4\,{\left(-b\right)}^{23/2}\,c^3+128864\,a^5\,{\left(-b\right)}^{21/2}\,c^4+46080\,a^5\,{\left(-b\right)}^{23/2}\,c^2-24752\,a^6\,{\left(-b\right)}^{19/2}\,c^5+146688\,a^6\,{\left(-b\right)}^{21/2}\,c^3+210\,a^7\,{\left(-b\right)}^{17/2}\,c^6-43232\,a^7\,{\left(-b\right)}^{19/2}\,c^4+6912\,a^7\,{\left(-b\right)}^{21/2}\,c^2+4332\,a^8\,{\left(-b\right)}^{17/2}\,c^5+3968\,a^8\,{\left(-b\right)}^{19/2}\,c^3+1792\,a^9\,{\left(-b\right)}^{17/2}\,c^4-90240\,a^2\,{\left(-b\right)}^{25/2}\,c^4-7104\,a^3\,{\left(-b\right)}^{23/2}\,c^5-204800\,a^3\,{\left(-b\right)}^{25/2}\,c^3-100160\,a^4\,{\left(-b\right)}^{23/2}\,c^4+53480\,a^5\,{\left(-b\right)}^{21/2}\,c^5+9600\,a^5\,{\left(-b\right)}^{23/2}\,c^3-2310\,a^6\,{\left(-b\right)}^{19/2}\,c^6+131872\,a^6\,{\left(-b\right)}^{21/2}\,c^4+7680\,a^6\,{\left(-b\right)}^{23/2}\,c^2-33432\,a^7\,{\left(-b\right)}^{19/2}\,c^5+56704\,a^7\,{\left(-b\right)}^{21/2}\,c^3+420\,a^8\,{\left(-b\right)}^{17/2}\,c^6-13216\,a^8\,{\left(-b\right)}^{19/2}\,c^4+1344\,a^9\,{\left(-b\right)}^{17/2}\,c^5+2304\,a^9\,{\left(-b\right)}^{19/2}\,c^3-9216\,a^2\,{\left(-b\right)}^{25/2}\,c^5-192000\,a^3\,{\left(-b\right)}^{25/2}\,c^4-48224\,a^4\,{\left(-b\right)}^{23/2}\,c^5-153600\,a^4\,{\left(-b\right)}^{25/2}\,c^3+7546\,a^5\,{\left(-b\right)}^{21/2}\,c^6-179840\,a^5\,{\left(-b\right)}^{23/2}\,c^4+94948\,a^6\,{\left(-b\right)}^{21/2}\,c^5-9600\,a^6\,{\left(-b\right)}^{23/2}\,c^3-6636\,a^7\,{\left(-b\right)}^{19/2}\,c^6+63232\,a^7\,{\left(-b\right)}^{21/2}\,c^4-19712\,a^8\,{\left(-b\right)}^{19/2}\,c^5+8704\,a^8\,{\left(-b\right)}^{21/2}\,c^3+210\,a^9\,{\left(-b\right)}^{17/2}\,c^6-896\,a^9\,{\left(-b\right)}^{19/2}\,c^4+115200\,a^2\,{\left(-b\right)}^{27/2}\,c^4-31104\,a^3\,{\left(-b\right)}^{25/2}\,c^5-8750\,a^4\,{\left(-b\right)}^{23/2}\,c^6-211200\,a^4\,{\left(-b\right)}^{25/2}\,c^4-121120\,a^5\,{\left(-b\right)}^{23/2}\,c^5-61440\,a^5\,{\left(-b\right)}^{25/2}\,c^3+28756\,a^6\,{\left(-b\right)}^{21/2}\,c^6-161760\,a^6\,{\left(-b\right)}^{23/2}\,c^4-252\,a^7\,{\left(-b\right)}^{19/2}\,c^7+80416\,a^7\,{\left(-b\right)}^{21/2}\,c^5-3840\,a^7\,{\left(-b\right)}^{23/2}\,c^3-6342\,a^8\,{\left(-b\right)}^{19/2}\,c^6+9344\,a^8\,{\left(-b\right)}^{21/2}\,c^4-4256\,a^9\,{\left(-b\right)}^{19/2}\,c^5+81792\,a^2\,{\left(-b\right)}^{27/2}\,c^5-832\,a^3\,{\left(-b\right)}^{25/2}\,c^6+153600\,a^3\,{\left(-b\right)}^{27/2}\,c^4-23552\,a^4\,{\left(-b\right)}^{25/2}\,c^5-44380\,a^5\,{\left(-b\right)}^{23/2}\,c^6-124800\,a^5\,{\left(-b\right)}^{25/2}\,c^4+2184\,a^6\,{\left(-b\right)}^{21/2}\,c^7-146336\,a^6\,{\left(-b\right)}^{23/2}\,c^5-10240\,a^6\,{\left(-b\right)}^{25/2}\,c^3+40698\,a^7\,{\left(-b\right)}^{21/2}\,c^6-72320\,a^7\,{\left(-b\right)}^{23/2}\,c^4-504\,a^8\,{\left(-b\right)}^{19/2}\,c^7+31808\,a^8\,{\left(-b\right)}^{21/2}\,c^5-2016\,a^9\,{\left(-b\right)}^{19/2}\,c^6-1280\,a^9\,{\left(-b\right)}^{21/2}\,c^4+10944\,a^2\,{\left(-b\right)}^{27/2}\,c^6+184320\,a^3\,{\left(-b\right)}^{27/2}\,c^5+8896\,a^4\,{\left(-b\right)}^{25/2}\,c^6+115200\,a^4\,{\left(-b\right)}^{27/2}\,c^4-5300\,a^5\,{\left(-b\right)}^{23/2}\,c^7+32512\,a^5\,{\left(-b\right)}^{25/2}\,c^5-86702\,a^6\,{\left(-b\right)}^{23/2}\,c^6-36480\,a^6\,{\left(-b\right)}^{25/2}\,c^4+6384\,a^7\,{\left(-b\right)}^{21/2}\,c^7-87968\,a^7\,{\left(-b\right)}^{23/2}\,c^5+25312\,a^8\,{\left(-b\right)}^{21/2}\,c^6-12800\,a^8\,{\left(-b\right)}^{23/2}\,c^4-252\,a^9\,{\left(-b\right)}^{19/2}\,c^7+4480\,a^9\,{\left(-b\right)}^{21/2}\,c^5-46080\,a^2\,{\left(-b\right)}^{29/2}\,c^5+49536\,a^3\,{\left(-b\right)}^{27/2}\,c^6+3016\,a^4\,{\left(-b\right)}^{25/2}\,c^7+218880\,a^4\,{\left(-b\right)}^{27/2}\,c^5+44864\,a^5\,{\left(-b\right)}^{25/2}\,c^6+46080\,a^5\,{\left(-b\right)}^{27/2}\,c^4-21128\,a^6\,{\left(-b\right)}^{23/2}\,c^7+66048\,a^6\,{\left(-b\right)}^{25/2}\,c^5+210\,a^7\,{\left(-b\right)}^{21/2}\,c^8-81536\,a^7\,{\left(-b\right)}^{23/2}\,c^6-3840\,a^7\,{\left(-b\right)}^{25/2}\,c^4+6216\,a^8\,{\left(-b\right)}^{21/2}\,c^7-22912\,a^8\,{\left(-b\right)}^{23/2}\,c^5+5824\,a^9\,{\left(-b\right)}^{21/2}\,c^6-36480\,a^2\,{\left(-b\right)}^{29/2}\,c^6+4224\,a^3\,{\left(-b\right)}^{27/2}\,c^7-61440\,a^3\,{\left(-b\right)}^{29/2}\,c^5+86656\,a^4\,{\left(-b\right)}^{27/2}\,c^6+18896\,a^5\,{\left(-b\right)}^{25/2}\,c^7+144000\,a^5\,{\left(-b\right)}^{27/2}\,c^5-1374\,a^6\,{\left(-b\right)}^{23/2}\,c^8+75200\,a^6\,{\left(-b\right)}^{25/2}\,c^6+7680\,a^6\,{\left(-b\right)}^{27/2}\,c^4-31284\,a^7\,{\left(-b\right)}^{23/2}\,c^7+40576\,a^7\,{\left(-b\right)}^{25/2}\,c^5+420\,a^8\,{\left(-b\right)}^{21/2}\,c^8-36736\,a^8\,{\left(-b\right)}^{23/2}\,c^6+2016\,a^9\,{\left(-b\right)}^{21/2}\,c^7-1280\,a^9\,{\left(-b\right)}^{23/2}\,c^5-5376\,a^2\,{\left(-b\right)}^{29/2}\,c^7-84480\,a^3\,{\left(-b\right)}^{29/2}\,c^6+13888\,a^4\,{\left(-b\right)}^{27/2}\,c^7-46080\,a^4\,{\left(-b\right)}^{29/2}\,c^5+2173\,a^5\,{\left(-b\right)}^{25/2}\,c^8+70144\,a^5\,{\left(-b\right)}^{27/2}\,c^6+42952\,a^6\,{\left(-b\right)}^{25/2}\,c^7+49536\,a^6\,{\left(-b\right)}^{27/2}\,c^5-4092\,a^7\,{\left(-b\right)}^{23/2}\,c^8+57856\,a^7\,{\left(-b\right)}^{25/2}\,c^6-20384\,a^8\,{\left(-b\right)}^{23/2}\,c^7+8704\,a^8\,{\left(-b\right)}^{25/2}\,c^5+210\,a^9\,{\left(-b\right)}^{21/2}\,c^8-6272\,a^9\,{\left(-b\right)}^{23/2}\,c^6+7680\,a^2\,{\left(-b\right)}^{31/2}\,c^6-26496\,a^3\,{\left(-b\right)}^{29/2}\,c^7+301\,a^4\,{\left(-b\right)}^{27/2}\,c^8-103680\,a^4\,{\left(-b\right)}^{29/2}\,c^6+12608\,a^5\,{\left(-b\right)}^{27/2}\,c^7-18432\,a^5\,{\left(-b\right)}^{29/2}\,c^5+9274\,a^6\,{\left(-b\right)}^{25/2}\,c^8+21696\,a^6\,{\left(-b\right)}^{27/2}\,c^6-120\,a^7\,{\left(-b\right)}^{23/2}\,c^9+45760\,a^7\,{\left(-b\right)}^{25/2}\,c^7+6912\,a^7\,{\left(-b\right)}^{27/2}\,c^5-4062\,a^8\,{\left(-b\right)}^{23/2}\,c^8+20096\,a^8\,{\left(-b\right)}^{25/2}\,c^6-4928\,a^9\,{\left(-b\right)}^{23/2}\,c^7+6528\,a^2\,{\left(-b\right)}^{31/2}\,c^7-2448\,a^3\,{\left(-b\right)}^{29/2}\,c^8+10240\,a^3\,{\left(-b\right)}^{31/2}\,c^6-52736\,a^4\,{\left(-b\right)}^{29/2}\,c^7-1558\,a^5\,{\left(-b\right)}^{27/2}\,c^8-71040\,a^5\,{\left(-b\right)}^{29/2}\,c^6+546\,a^6\,{\left(-b\right)}^{25/2}\,c^9-4544\,a^6\,{\left(-b\right)}^{27/2}\,c^7-3072\,a^6\,{\left(-b\right)}^{29/2}\,c^5+14589\,a^7\,{\left(-b\right)}^{25/2}\,c^8-2432\,a^7\,{\left(-b\right)}^{27/2}\,c^6-240\,a^8\,{\left(-b\right)}^{23/2}\,c^9+23168\,a^8\,{\left(-b\right)}^{25/2}\,c^7-1344\,a^9\,{\left(-b\right)}^{23/2}\,c^8+2304\,a^9\,{\left(-b\right)}^{25/2}\,c^6+1008\,a^2\,{\left(-b\right)}^{31/2}\,c^8+15360\,a^3\,{\left(-b\right)}^{31/2}\,c^7-10160\,a^4\,{\left(-b\right)}^{29/2}\,c^8+7680\,a^4\,{\left(-b\right)}^{31/2}\,c^6-384\,a^5\,{\left(-b\right)}^{27/2}\,c^9-53504\,a^5\,{\left(-b\right)}^{29/2}\,c^7-8099\,a^6\,{\left(-b\right)}^{27/2}\,c^8-25728\,a^6\,{\left(-b\right)}^{29/2}\,c^6+1668\,a^7\,{\left(-b\right)}^{25/2}\,c^9-13760\,a^7\,{\left(-b\right)}^{27/2}\,c^7+10048\,a^8\,{\left(-b\right)}^{25/2}\,c^8-2048\,a^8\,{\left(-b\right)}^{27/2}\,c^6-120\,a^9\,{\left(-b\right)}^{23/2}\,c^9+4480\,a^9\,{\left(-b\right)}^{25/2}\,c^7+5184\,a^3\,{\left(-b\right)}^{31/2}\,c^8-570\,a^4\,{\left(-b\right)}^{29/2}\,c^9+19200\,a^4\,{\left(-b\right)}^{31/2}\,c^7-16048\,a^5\,{\left(-b\right)}^{29/2}\,c^8+3072\,a^5\,{\left(-b\right)}^{31/2}\,c^6-1984\,a^6\,{\left(-b\right)}^{27/2}\,c^9-28416\,a^6\,{\left(-b\right)}^{29/2}\,c^7+45\,a^7\,{\left(-b\right)}^{25/2}\,c^{10}-11984\,a^7\,{\left(-b\right)}^{27/2}\,c^8-3840\,a^7\,{\left(-b\right)}^{29/2}\,c^6+1698\,a^8\,{\left(-b\right)}^{25/2}\,c^9-7552\,a^8\,{\left(-b\right)}^{27/2}\,c^7+2560\,a^9\,{\left(-b\right)}^{25/2}\,c^8+480\,a^3\,{\left(-b\right)}^{31/2}\,c^9+10912\,a^4\,{\left(-b\right)}^{31/2}\,c^8-1732\,a^5\,{\left(-b\right)}^{29/2}\,c^9+13440\,a^5\,{\left(-b\right)}^{31/2}\,c^7-119\,a^6\,{\left(-b\right)}^{27/2}\,c^{10}-11408\,a^6\,{\left(-b\right)}^{29/2}\,c^8+512\,a^6\,{\left(-b\right)}^{31/2}\,c^6-3568\,a^7\,{\left(-b\right)}^{27/2}\,c^9-7040\,a^7\,{\left(-b\right)}^{29/2}\,c^7+90\,a^8\,{\left(-b\right)}^{25/2}\,c^{10}-7408\,a^8\,{\left(-b\right)}^{27/2}\,c^8+576\,a^9\,{\left(-b\right)}^{25/2}\,c^9-1280\,a^9\,{\left(-b\right)}^{27/2}\,c^7+2160\,a^4\,{\left(-b\right)}^{31/2}\,c^9-35\,a^5\,{\left(-b\right)}^{29/2}\,c^{10}+11968\,a^5\,{\left(-b\right)}^{31/2}\,c^8-1530\,a^6\,{\left(-b\right)}^{29/2}\,c^9+4992\,a^6\,{\left(-b\right)}^{31/2}\,c^7-382\,a^7\,{\left(-b\right)}^{27/2}\,c^{10}-2816\,a^7\,{\left(-b\right)}^{29/2}\,c^8-2720\,a^8\,{\left(-b\right)}^{27/2}\,c^9-512\,a^8\,{\left(-b\right)}^{29/2}\,c^7+45\,a^9\,{\left(-b\right)}^{25/2}\,c^{10}-1664\,a^9\,{\left(-b\right)}^{27/2}\,c^8+129\,a^4\,{\left(-b\right)}^{31/2}\,c^{10}+3856\,a^5\,{\left(-b\right)}^{31/2}\,c^9+10\,a^6\,{\left(-b\right)}^{29/2}\,c^{10}+7152\,a^6\,{\left(-b\right)}^{31/2}\,c^8-10\,a^7\,{\left(-b\right)}^{27/2}\,c^{11}+112\,a^7\,{\left(-b\right)}^{29/2}\,c^9+768\,a^7\,{\left(-b\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^{12}\,{\left(-b\right)}^{41/4}\,c^2+3584\,a^9\,{\left(-b\right)}^{45/4}\,c^2+5376\,a^{12}\,{\left(-b\right)}^{41/4}\,c^3+3584\,a^{13}\,{\left(-b\right)}^{41/4}\,c^2+20160\,a^{10}\,{\left(-b\right)}^{45/4}\,c^2+1848\,a^{12}\,{\left(-b\right)}^{41/4}\,c^4+6720\,a^{13}\,{\left(-b\right)}^{41/4}\,c^3+8848\,a^{10}\,{\left(-b\right)}^{45/4}\,c^3+30912\,a^{11}\,{\left(-b\right)}^{45/4}\,c^2+3360\,a^{13}\,{\left(-b\right)}^{41/4}\,c^4+6720\,a^8\,{\left(-b\right)}^{49/4}\,c^2+21504\,a^{11}\,{\left(-b\right)}^{45/4}\,c^3+14336\,a^{12}\,{\left(-b\right)}^{45/4}\,c^2+504\,a^{13}\,{\left(-b\right)}^{41/4}\,c^5+24192\,a^9\,{\left(-b\right)}^{49/4}\,c^2+1848\,a^{11}\,{\left(-b\right)}^{45/4}\,c^4+9408\,a^{12}\,{\left(-b\right)}^{45/4}\,c^3-4032\,a^9\,{\left(-b\right)}^{49/4}\,c^3+28224\,a^{10}\,{\left(-b\right)}^{49/4}\,c^2-3360\,a^{12}\,{\left(-b\right)}^{45/4}\,c^4-3584\,a^{13}\,{\left(-b\right)}^{45/4}\,c^3-26880\,a^{10}\,{\left(-b\right)}^{49/4}\,c^3+10752\,a^{11}\,{\left(-b\right)}^{49/4}\,c^2-1176\,a^{12}\,{\left(-b\right)}^{45/4}\,c^5-6720\,a^{13}\,{\left(-b\right)}^{45/4}\,c^4-10584\,a^{10}\,{\left(-b\right)}^{49/4}\,c^4-44352\,a^{11}\,{\left(-b\right)}^{49/4}\,c^3-2688\,a^{13}\,{\left(-b\right)}^{45/4}\,c^5-11200\,a^8\,{\left(-b\right)}^{53/4}\,c^3-30240\,a^{11}\,{\left(-b\right)}^{49/4}\,c^4-21504\,a^{12}\,{\left(-b\right)}^{49/4}\,c^3-336\,a^{13}\,{\left(-b\right)}^{45/4}\,c^6-40320\,a^9\,{\left(-b\right)}^{53/4}\,c^3-2520\,a^{11}\,{\left(-b\right)}^{49/4}\,c^5-20160\,a^{12}\,{\left(-b\right)}^{49/4}\,c^4+1120\,a^9\,{\left(-b\right)}^{53/4}\,c^4-47040\,a^{10}\,{\left(-b\right)}^{53/4}\,c^3+16800\,a^{10}\,{\left(-b\right)}^{53/4}\,c^4-17920\,a^{11}\,{\left(-b\right)}^{53/4}\,c^3+336\,a^{12}\,{\left(-b\right)}^{49/4}\,c^6+4032\,a^{13}\,{\left(-b\right)}^{49/4}\,c^5+8120\,a^{10}\,{\left(-b\right)}^{53/4}\,c^5+33600\,a^{11}\,{\left(-b\right)}^{53/4}\,c^4+1344\,a^{13}\,{\left(-b\right)}^{49/4}\,c^6+11200\,a^8\,{\left(-b\right)}^{57/4}\,c^4+26880\,a^{11}\,{\left(-b\right)}^{53/4}\,c^5+17920\,a^{12}\,{\left(-b\right)}^{53/4}\,c^4+144\,a^{13}\,{\left(-b\right)}^{49/4}\,c^7+40320\,a^9\,{\left(-b\right)}^{57/4}\,c^4+1680\,a^{11}\,{\left(-b\right)}^{53/4}\,c^6+22848\,a^{12}\,{\left(-b\right)}^{53/4}\,c^5+2240\,a^9\,{\left(-b\right)}^{57/4}\,c^5+47040\,a^{10}\,{\left(-b\right)}^{57/4}\,c^4+1344\,a^{12}\,{\left(-b\right)}^{53/4}\,c^6+3584\,a^{13}\,{\left(-b\right)}^{53/4}\,c^5+17920\,a^{11}\,{\left(-b\right)}^{57/4}\,c^4+48\,a^{12}\,{\left(-b\right)}^{53/4}\,c^7-1344\,a^{13}\,{\left(-b\right)}^{53/4}\,c^6-3920\,a^{10}\,{\left(-b\right)}^{57/4}\,c^6-9408\,a^{11}\,{\left(-b\right)}^{57/4}\,c^5-384\,a^{13}\,{\left(-b\right)}^{53/4}\,c^7-6720\,a^8\,{\left(-b\right)}^{61/4}\,c^5-14784\,a^{11}\,{\left(-b\right)}^{57/4}\,c^6-7168\,a^{12}\,{\left(-b\right)}^{57/4}\,c^5-36\,a^{13}\,{\left(-b\right)}^{53/4}\,c^8-24192\,a^9\,{\left(-b\right)}^{61/4}\,c^5-528\,a^{11}\,{\left(-b\right)}^{57/4}\,c^7-14784\,a^{12}\,{\left(-b\right)}^{57/4}\,c^6-2688\,a^9\,{\left(-b\right)}^{61/4}\,c^6-28224\,a^{10}\,{\left(-b\right)}^{61/4}\,c^5-768\,a^{12}\,{\left(-b\right)}^{57/4}\,c^7-3584\,a^{13}\,{\left(-b\right)}^{57/4}\,c^6-6720\,a^{10}\,{\left(-b\right)}^{61/4}\,c^6-10752\,a^{11}\,{\left(-b\right)}^{61/4}\,c^5-60\,a^{12}\,{\left(-b\right)}^{57/4}\,c^8+192\,a^{13}\,{\left(-b\right)}^{57/4}\,c^7+1104\,a^{10}\,{\left(-b\right)}^{61/4}\,c^7-4032\,a^{11}\,{\left(-b\right)}^{61/4}\,c^6+48\,a^{13}\,{\left(-b\right)}^{57/4}\,c^8+2240\,a^8\,{\left(-b\right)}^{65/4}\,c^6+4608\,a^{11}\,{\left(-b\right)}^{61/4}\,c^7+4\,a^{13}\,{\left(-b\right)}^{57/4}\,c^9+8064\,a^9\,{\left(-b\right)}^{65/4}\,c^6+36\,a^{11}\,{\left(-b\right)}^{61/4}\,c^8+5184\,a^{12}\,{\left(-b\right)}^{61/4}\,c^7+1216\,a^9\,{\left(-b\right)}^{65/4}\,c^7+9408\,a^{10}\,{\left(-b\right)}^{65/4}\,c^6+144\,a^{12}\,{\left(-b\right)}^{61/4}\,c^8+1536\,a^{13}\,{\left(-b\right)}^{61/4}\,c^7+3840\,a^{10}\,{\left(-b\right)}^{65/4}\,c^7+3584\,a^{11}\,{\left(-b\right)}^{65/4}\,c^6+12\,a^{12}\,{\left(-b\right)}^{61/4}\,c^9-148\,a^{10}\,{\left(-b\right)}^{65/4}\,c^8+3648\,a^{11}\,{\left(-b\right)}^{65/4}\,c^7-320\,a^8\,{\left(-b\right)}^{69/4}\,c^7-624\,a^{11}\,{\left(-b\right)}^{65/4}\,c^8+1024\,a^{12}\,{\left(-b\right)}^{65/4}\,c^7-1152\,a^9\,{\left(-b\right)}^{69/4}\,c^7+12\,a^{11}\,{\left(-b\right)}^{65/4}\,c^9-768\,a^{12}\,{\left(-b\right)}^{65/4}\,c^8-208\,a^9\,{\left(-b\right)}^{69/4}\,c^8-1344\,a^{10}\,{\left(-b\right)}^{69/4}\,c^7-256\,a^{13}\,{\left(-b\right)}^{65/4}\,c^8-720\,a^{10}\,{\left(-b\right)}^{69/4}\,c^8-512\,a^{11}\,{\left(-b\right)}^{69/4}\,c^7+4\,a^{10}\,{\left(-b\right)}^{69/4}\,c^9-768\,a^{11}\,{\left(-b\right)}^{69/4}\,c^8-256\,a^{12}\,{\left(-b\right)}^{69/4}\,c^8+36\,a^{13}\,{\left(-b\right)}^{25/4}\,c-276\,a^{12}\,{\left(-b\right)}^{29/4}\,c-384\,a^{13}\,{\left(-b\right)}^{29/4}\,c+300\,a^{11}\,{\left(-b\right)}^{33/4}\,c+1536\,a^{12}\,{\left(-b\right)}^{33/4}\,c+1344\,a^{13}\,{\left(-b\right)}^{33/4}\,c+1380\,a^{10}\,{\left(-b\right)}^{37/4}\,c+2304\,a^{11}\,{\left(-b\right)}^{37/4}\,c-576\,a^{12}\,{\left(-b\right)}^{37/4}\,c-1472\,a^9\,{\left(-b\right)}^{41/4}\,c-1536\,a^{13}\,{\left(-b\right)}^{37/4}\,c-7680\,a^{10}\,{\left(-b\right)}^{41/4}\,c-11328\,a^{11}\,{\left(-b\right)}^{41/4}\,c-2240\,a^8\,{\left(-b\right)}^{45/4}\,c-5120\,a^{12}\,{\left(-b\right)}^{41/4}\,c-8064\,a^9\,{\left(-b\right)}^{45/4}\,c-9408\,a^{10}\,{\left(-b\right)}^{45/4}\,c-3584\,a^{11}\,{\left(-b\right)}^{45/4}\,c\right)}{a^{16}\,b^{18}\,c^9+9\,a^{15}\,b^{18}\,c^8+36\,a^{14}\,b^{18}\,c^7+84\,a^{13}\,b^{18}\,c^6+126\,a^{12}\,b^{18}\,c^5+126\,a^{11}\,b^{18}\,c^4+84\,a^{10}\,b^{18}\,c^3+36\,a^9\,b^{18}\,c^2+9\,a^8\,b^{18}\,c+a^7\,b^{18}}+\frac{64\,{\left(-\frac{b\,x-1}{c+x}\right)}^{1/4}\,\left(b\,\left({\left(-b\right)}^{3/4}+a\,\left({\left(-b\right)}^{3/4}+\frac{{\left(-b\right)}^{3/4}\,c}{4}\right)\right)+\frac{a\,{\left(-b\right)}^{3/4}}{4}\right)\,\left(16\,a^{13}\,{\left(-b\right)}^{11/2}-80\,a^{12}\,{\left(-b\right)}^{13/2}-80\,a^{11}\,{\left(-b\right)}^{15/2}-128\,a^{13}\,{\left(-b\right)}^{13/2}+400\,a^{10}\,{\left(-b\right)}^{17/2}+128\,a^{12}\,{\left(-b\right)}^{15/2}+896\,a^9\,{\left(-b\right)}^{19/2}+1152\,a^{11}\,{\left(-b\right)}^{17/2}+256\,a^{13}\,{\left(-b\right)}^{15/2}+512\,a^8\,{\left(-b\right)}^{21/2}+1920\,a^{10}\,{\left(-b\right)}^{19/2}+768\,a^{12}\,{\left(-b\right)}^{17/2}+1024\,a^9\,{\left(-b\right)}^{21/2}+1024\,a^{11}\,{\left(-b\right)}^{19/2}+512\,a^{10}\,{\left(-b\right)}^{21/2}+448\,a^{13}\,{\left(-b\right)}^{15/2}\,c^2-1344\,a^{12}\,{\left(-b\right)}^{17/2}\,c^2-2624\,a^{11}\,{\left(-b\right)}^{19/2}\,c^2-2688\,a^{13}\,{\left(-b\right)}^{17/2}\,c^2+1088\,a^{10}\,{\left(-b\right)}^{21/2}\,c^2+128\,a^{12}\,{\left(-b\right)}^{19/2}\,c^2-896\,a^{13}\,{\left(-b\right)}^{17/2}\,c^3+9600\,a^9\,{\left(-b\right)}^{23/2}\,c^2+9344\,a^{11}\,{\left(-b\right)}^{21/2}\,c^2+1792\,a^{12}\,{\left(-b\right)}^{19/2}\,c^3+4096\,a^{13}\,{\left(-b\right)}^{19/2}\,c^2+7680\,a^8\,{\left(-b\right)}^{25/2}\,c^2+21888\,a^{10}\,{\left(-b\right)}^{23/2}\,c^2+4096\,a^{11}\,{\left(-b\right)}^{21/2}\,c^3+8704\,a^{12}\,{\left(-b\right)}^{21/2}\,c^2+4480\,a^{13}\,{\left(-b\right)}^{19/2}\,c^3+15360\,a^9\,{\left(-b\right)}^{25/2}\,c^2+3328\,a^{10}\,{\left(-b\right)}^{23/2}\,c^3+12288\,a^{11}\,{\left(-b\right)}^{23/2}\,c^2+128\,a^{12}\,{\left(-b\right)}^{21/2}\,c^3+1120\,a^{13}\,{\left(-b\right)}^{19/2}\,c^4-8320\,a^9\,{\left(-b\right)}^{25/2}\,c^3+7680\,a^{10}\,{\left(-b\right)}^{25/2}\,c^2-4992\,a^{11}\,{\left(-b\right)}^{23/2}\,c^3-1120\,a^{12}\,{\left(-b\right)}^{21/2}\,c^4-6656\,a^{13}\,{\left(-b\right)}^{21/2}\,c^3-10240\,a^8\,{\left(-b\right)}^{27/2}\,c^3-21120\,a^{10}\,{\left(-b\right)}^{25/2}\,c^3-2400\,a^{11}\,{\left(-b\right)}^{23/2}\,c^4-9216\,a^{12}\,{\left(-b\right)}^{23/2}\,c^3-4480\,a^{13}\,{\left(-b\right)}^{21/2}\,c^4-20480\,a^9\,{\left(-b\right)}^{27/2}\,c^3-7200\,a^{10}\,{\left(-b\right)}^{25/2}\,c^4-12800\,a^{11}\,{\left(-b\right)}^{25/2}\,c^3+1920\,a^{12}\,{\left(-b\right)}^{23/2}\,c^4-896\,a^{13}\,{\left(-b\right)}^{21/2}\,c^5+640\,a^9\,{\left(-b\right)}^{27/2}\,c^4-10240\,a^{10}\,{\left(-b\right)}^{27/2}\,c^3-3200\,a^{11}\,{\left(-b\right)}^{25/2}\,c^4+7680\,a^{13}\,{\left(-b\right)}^{23/2}\,c^4+7680\,a^8\,{\left(-b\right)}^{29/2}\,c^4+5760\,a^{10}\,{\left(-b\right)}^{27/2}\,c^4-1280\,a^{11}\,{\left(-b\right)}^{25/2}\,c^5+5120\,a^{12}\,{\left(-b\right)}^{25/2}\,c^4+2688\,a^{13}\,{\left(-b\right)}^{23/2}\,c^5+15360\,a^9\,{\left(-b\right)}^{29/2}\,c^4+5120\,a^{10}\,{\left(-b\right)}^{27/2}\,c^5+5120\,a^{11}\,{\left(-b\right)}^{27/2}\,c^4-5248\,a^{12}\,{\left(-b\right)}^{25/2}\,c^5+448\,a^{13}\,{\left(-b\right)}^{23/2}\,c^6+4224\,a^9\,{\left(-b\right)}^{29/2}\,c^5+7680\,a^{10}\,{\left(-b\right)}^{29/2}\,c^4+3968\,a^{11}\,{\left(-b\right)}^{27/2}\,c^5+448\,a^{12}\,{\left(-b\right)}^{25/2}\,c^6-6656\,a^{13}\,{\left(-b\right)}^{25/2}\,c^5-3072\,a^8\,{\left(-b\right)}^{31/2}\,c^5+5760\,a^{10}\,{\left(-b\right)}^{29/2}\,c^5+2752\,a^{11}\,{\left(-b\right)}^{27/2}\,c^6-2048\,a^{12}\,{\left(-b\right)}^{27/2}\,c^5-896\,a^{13}\,{\left(-b\right)}^{25/2}\,c^6-6144\,a^9\,{\left(-b\right)}^{31/2}\,c^5-704\,a^{10}\,{\left(-b\right)}^{29/2}\,c^6+1536\,a^{11}\,{\left(-b\right)}^{29/2}\,c^5+5504\,a^{12}\,{\left(-b\right)}^{27/2}\,c^6-128\,a^{13}\,{\left(-b\right)}^{25/2}\,c^7-2944\,a^9\,{\left(-b\right)}^{31/2}\,c^6-3072\,a^{10}\,{\left(-b\right)}^{31/2}\,c^5+384\,a^{11}\,{\left(-b\right)}^{29/2}\,c^6-256\,a^{12}\,{\left(-b\right)}^{27/2}\,c^7+4096\,a^{13}\,{\left(-b\right)}^{27/2}\,c^6+512\,a^8\,{\left(-b\right)}^{33/2}\,c^6-4992\,a^{10}\,{\left(-b\right)}^{31/2}\,c^6-1536\,a^{11}\,{\left(-b\right)}^{29/2}\,c^7+1536\,a^{12}\,{\left(-b\right)}^{29/2}\,c^6+128\,a^{13}\,{\left(-b\right)}^{27/2}\,c^7+1024\,a^9\,{\left(-b\right)}^{33/2}\,c^6-768\,a^{10}\,{\left(-b\right)}^{31/2}\,c^7-2048\,a^{11}\,{\left(-b\right)}^{31/2}\,c^6-2688\,a^{12}\,{\left(-b\right)}^{29/2}\,c^7+16\,a^{13}\,{\left(-b\right)}^{27/2}\,c^8+640\,a^9\,{\left(-b\right)}^{33/2}\,c^7+512\,a^{10}\,{\left(-b\right)}^{33/2}\,c^6-1664\,a^{11}\,{\left(-b\right)}^{31/2}\,c^7+48\,a^{12}\,{\left(-b\right)}^{29/2}\,c^8-1536\,a^{13}\,{\left(-b\right)}^{29/2}\,c^7+1152\,a^{10}\,{\left(-b\right)}^{33/2}\,c^7+304\,a^{11}\,{\left(-b\right)}^{31/2}\,c^8-1024\,a^{12}\,{\left(-b\right)}^{31/2}\,c^7+272\,a^{10}\,{\left(-b\right)}^{33/2}\,c^8+512\,a^{11}\,{\left(-b\right)}^{33/2}\,c^7+512\,a^{12}\,{\left(-b\right)}^{31/2}\,c^8+512\,a^{11}\,{\left(-b\right)}^{33/2}\,c^8+256\,a^{13}\,{\left(-b\right)}^{31/2}\,c^8+256\,a^{12}\,{\left(-b\right)}^{33/2}\,c^8-128\,a^{13}\,{\left(-b\right)}^{13/2}\,c+512\,a^{12}\,{\left(-b\right)}^{15/2}\,c+768\,a^{11}\,{\left(-b\right)}^{17/2}\,c+896\,a^{13}\,{\left(-b\right)}^{15/2}\,c-1536\,a^{10}\,{\left(-b\right)}^{19/2}\,c-384\,a^{12}\,{\left(-b\right)}^{17/2}\,c-4736\,a^9\,{\left(-b\right)}^{21/2}\,c-5504\,a^{11}\,{\left(-b\right)}^{19/2}\,c-1536\,a^{13}\,{\left(-b\right)}^{17/2}\,c-3072\,a^8\,{\left(-b\right)}^{23/2}\,c-10368\,a^{10}\,{\left(-b\right)}^{21/2}\,c-4096\,a^{12}\,{\left(-b\right)}^{19/2}\,c-6144\,a^9\,{\left(-b\right)}^{23/2}\,c-5632\,a^{11}\,{\left(-b\right)}^{21/2}\,c-3072\,a^{10}\,{\left(-b\right)}^{23/2}\,c\right)}{a^2\,{\left(-b\right)}^{9/4}\,\left(a^{15}\,b^{17}\,c^9+9\,a^{14}\,b^{17}\,c^8+36\,a^{13}\,b^{17}\,c^7+84\,a^{12}\,b^{17}\,c^6+126\,a^{11}\,b^{17}\,c^5+126\,a^{10}\,b^{17}\,c^4+84\,a^9\,b^{17}\,c^3+36\,a^8\,b^{17}\,c^2+9\,a^7\,b^{17}\,c+a^6\,b^{17}\right)}\right)\,{\left(b\,\left({\left(-b\right)}^{3/4}+a\,\left({\left(-b\right)}^{3/4}+\frac{{\left(-b\right)}^{3/4}\,c}{4}\right)\right)+\frac{a\,{\left(-b\right)}^{3/4}}{4}\right)}^3}{a^6\,b^6}\right)\,1{}\mathrm{i}}{a^2\,b^2}}{\frac{128\,\left(5\,a^4\,{\left(-b\right)}^{21/4}-320\,{\left(-b\right)}^{37/4}+19\,a^5\,{\left(-b\right)}^{21/4}+27\,a^6\,{\left(-b\right)}^{21/4}-55\,a^3\,{\left(-b\right)}^{25/4}+17\,a^7\,{\left(-b\right)}^{21/4}-269\,a^4\,{\left(-b\right)}^{25/4}+4\,a^8\,{\left(-b\right)}^{21/4}-525\,a^5\,{\left(-b\right)}^{25/4}+180\,a^2\,{\left(-b\right)}^{29/4}-511\,a^6\,{\left(-b\right)}^{25/4}+1104\,a^3\,{\left(-b\right)}^{29/4}-248\,a^7\,{\left(-b\right)}^{25/4}+2808\,a^4\,{\left(-b\right)}^{29/4}-48\,a^8\,{\left(-b\right)}^{25/4}+3792\,a^5\,{\left(-b\right)}^{29/4}-784\,a^2\,{\left(-b\right)}^{33/4}+2868\,a^6\,{\left(-b\right)}^{29/4}-2976\,a^3\,{\left(-b\right)}^{33/4}+1152\,a^7\,{\left(-b\right)}^{29/4}-5920\,a^4\,{\left(-b\right)}^{33/4}+192\,a^8\,{\left(-b\right)}^{29/4}-6800\,a^5\,{\left(-b\right)}^{33/4}-6336\,a^2\,{\left(-b\right)}^{37/4}-4560\,a^6\,{\left(-b\right)}^{33/4}-10240\,a^3\,{\left(-b\right)}^{37/4}-1664\,a^7\,{\left(-b\right)}^{33/4}-9920\,a^4\,{\left(-b\right)}^{37/4}-256\,a^8\,{\left(-b\right)}^{33/4}-5760\,a^5\,{\left(-b\right)}^{37/4}-1856\,a^6\,{\left(-b\right)}^{37/4}-256\,a^7\,{\left(-b\right)}^{37/4}-6720\,{\left(-b\right)}^{45/4}\,c^2+11200\,{\left(-b\right)}^{49/4}\,c^3-11200\,{\left(-b\right)}^{53/4}\,c^4+6720\,{\left(-b\right)}^{57/4}\,c^5-2240\,{\left(-b\right)}^{61/4}\,c^6+320\,{\left(-b\right)}^{65/4}\,c^7-80\,a\,{\left(-b\right)}^{33/4}-2176\,a\,{\left(-b\right)}^{37/4}+2240\,{\left(-b\right)}^{41/4}\,c+a^6\,{\left(-b\right)}^{21/4}\,c^2+3\,a^7\,{\left(-b\right)}^{21/4}\,c^2+3\,a^8\,{\left(-b\right)}^{21/4}\,c^2-71\,a^5\,{\left(-b\right)}^{25/4}\,c^2+a^9\,{\left(-b\right)}^{21/4}\,c^2-265\,a^6\,{\left(-b\right)}^{25/4}\,c^2-10\,a^6\,{\left(-b\right)}^{25/4}\,c^3-369\,a^7\,{\left(-b\right)}^{25/4}\,c^2+849\,a^4\,{\left(-b\right)}^{29/4}\,c^2-30\,a^7\,{\left(-b\right)}^{25/4}\,c^3-227\,a^8\,{\left(-b\right)}^{25/4}\,c^2+3851\,a^5\,{\left(-b\right)}^{29/4}\,c^2-30\,a^8\,{\left(-b\right)}^{25/4}\,c^3-52\,a^9\,{\left(-b\right)}^{25/4}\,c^2+368\,a^5\,{\left(-b\right)}^{29/4}\,c^3+6939\,a^6\,{\left(-b\right)}^{29/4}\,c^2-10\,a^9\,{\left(-b\right)}^{25/4}\,c^3-3607\,a^3\,{\left(-b\right)}^{33/4}\,c^2+1392\,a^6\,{\left(-b\right)}^{29/4}\,c^3+6201\,a^7\,{\left(-b\right)}^{29/4}\,c^2-19689\,a^4\,{\left(-b\right)}^{33/4}\,c^2+45\,a^6\,{\left(-b\right)}^{29/4}\,c^4+1968\,a^7\,{\left(-b\right)}^{29/4}\,c^3+2744\,a^8\,{\left(-b\right)}^{29/4}\,c^2-3198\,a^4\,{\left(-b\right)}^{33/4}\,c^3-44241\,a^5\,{\left(-b\right)}^{33/4}\,c^2+135\,a^7\,{\left(-b\right)}^{29/4}\,c^4+1232\,a^8\,{\left(-b\right)}^{29/4}\,c^3+480\,a^9\,{\left(-b\right)}^{29/4}\,c^2+4880\,a^2\,{\left(-b\right)}^{37/4}\,c^2-14874\,a^5\,{\left(-b\right)}^{33/4}\,c^3-52259\,a^6\,{\left(-b\right)}^{33/4}\,c^2+135\,a^8\,{\left(-b\right)}^{29/4}\,c^4+288\,a^9\,{\left(-b\right)}^{29/4}\,c^3+33088\,a^3\,{\left(-b\right)}^{37/4}\,c^2-1107\,a^5\,{\left(-b\right)}^{33/4}\,c^4-27546\,a^6\,{\left(-b\right)}^{33/4}\,c^3-34116\,a^7\,{\left(-b\right)}^{33/4}\,c^2+45\,a^9\,{\left(-b\right)}^{29/4}\,c^4+9976\,a^3\,{\left(-b\right)}^{37/4}\,c^3+93600\,a^4\,{\left(-b\right)}^{37/4}\,c^2-4233\,a^6\,{\left(-b\right)}^{33/4}\,c^4-25374\,a^7\,{\left(-b\right)}^{33/4}\,c^3-11616\,a^8\,{\left(-b\right)}^{33/4}\,c^2+56280\,a^4\,{\left(-b\right)}^{37/4}\,c^3+142912\,a^5\,{\left(-b\right)}^{37/4}\,c^2-120\,a^6\,{\left(-b\right)}^{33/4}\,c^5-6057\,a^7\,{\left(-b\right)}^{33/4}\,c^4-11616\,a^8\,{\left(-b\right)}^{33/4}\,c^3-1600\,a^9\,{\left(-b\right)}^{33/4}\,c^2+11200\,a^2\,{\left(-b\right)}^{41/4}\,c^2+7290\,a^4\,{\left(-b\right)}^{37/4}\,c^4+131064\,a^5\,{\left(-b\right)}^{37/4}\,c^3+126608\,a^6\,{\left(-b\right)}^{37/4}\,c^2-360\,a^7\,{\left(-b\right)}^{33/4}\,c^5-3843\,a^8\,{\left(-b\right)}^{33/4}\,c^4-2112\,a^9\,{\left(-b\right)}^{33/4}\,c^3-7952\,a^2\,{\left(-b\right)}^{41/4}\,c^3+12096\,a^3\,{\left(-b\right)}^{41/4}\,c^2+34566\,a^5\,{\left(-b\right)}^{37/4}\,c^4+161096\,a^6\,{\left(-b\right)}^{37/4}\,c^3+64512\,a^7\,{\left(-b\right)}^{37/4}\,c^2-360\,a^8\,{\left(-b\right)}^{33/4}\,c^5-912\,a^9\,{\left(-b\right)}^{33/4}\,c^4-59136\,a^3\,{\left(-b\right)}^{41/4}\,c^3-13440\,a^4\,{\left(-b\right)}^{41/4}\,c^2+2148\,a^5\,{\left(-b\right)}^{37/4}\,c^5+65334\,a^6\,{\left(-b\right)}^{37/4}\,c^4+110064\,a^7\,{\left(-b\right)}^{37/4}\,c^3+17216\,a^8\,{\left(-b\right)}^{37/4}\,c^2-120\,a^9\,{\left(-b\right)}^{33/4}\,c^5-16590\,a^3\,{\left(-b\right)}^{41/4}\,c^4-180768\,a^4\,{\left(-b\right)}^{41/4}\,c^3-44800\,a^5\,{\left(-b\right)}^{41/4}\,c^2+8292\,a^6\,{\left(-b\right)}^{37/4}\,c^5+61506\,a^7\,{\left(-b\right)}^{37/4}\,c^4+39552\,a^8\,{\left(-b\right)}^{37/4}\,c^3+1792\,a^9\,{\left(-b\right)}^{37/4}\,c^2-133056\,a^2\,{\left(-b\right)}^{45/4}\,c^2-96810\,a^4\,{\left(-b\right)}^{41/4}\,c^4-296128\,a^5\,{\left(-b\right)}^{41/4}\,c^3+210\,a^6\,{\left(-b\right)}^{37/4}\,c^6-44352\,a^6\,{\left(-b\right)}^{41/4}\,c^2+11988\,a^7\,{\left(-b\right)}^{37/4}\,c^5+28824\,a^8\,{\left(-b\right)}^{37/4}\,c^4+5824\,a^9\,{\left(-b\right)}^{37/4}\,c^3-55552\,a^2\,{\left(-b\right)}^{45/4}\,c^3-215040\,a^3\,{\left(-b\right)}^{45/4}\,c^2-10752\,a^4\,{\left(-b\right)}^{41/4}\,c^5-233226\,a^5\,{\left(-b\right)}^{41/4}\,c^4-281232\,a^6\,{\left(-b\right)}^{41/4}\,c^3+630\,a^7\,{\left(-b\right)}^{37/4}\,c^6-20160\,a^7\,{\left(-b\right)}^{41/4}\,c^2+7692\,a^8\,{\left(-b\right)}^{37/4}\,c^5+5376\,a^9\,{\left(-b\right)}^{37/4}\,c^4+5208\,a^2\,{\left(-b\right)}^{45/4}\,c^4-119616\,a^3\,{\left(-b\right)}^{45/4}\,c^3-208320\,a^4\,{\left(-b\right)}^{45/4}\,c^2-51912\,a^5\,{\left(-b\right)}^{41/4}\,c^5-296814\,a^6\,{\left(-b\right)}^{41/4}\,c^4-154560\,a^7\,{\left(-b\right)}^{41/4}\,c^3+630\,a^8\,{\left(-b\right)}^{37/4}\,c^6-3584\,a^8\,{\left(-b\right)}^{41/4}\,c^2+1848\,a^9\,{\left(-b\right)}^{37/4}\,c^5+51296\,a^3\,{\left(-b\right)}^{45/4}\,c^4-125440\,a^4\,{\left(-b\right)}^{45/4}\,c^3-2814\,a^5\,{\left(-b\right)}^{41/4}\,c^6-120960\,a^5\,{\left(-b\right)}^{45/4}\,c^2-99960\,a^6\,{\left(-b\right)}^{41/4}\,c^5-210336\,a^7\,{\left(-b\right)}^{41/4}\,c^4-45248\,a^8\,{\left(-b\right)}^{41/4}\,c^3+210\,a^9\,{\left(-b\right)}^{37/4}\,c^6+16940\,a^3\,{\left(-b\right)}^{45/4}\,c^5+185808\,a^4\,{\left(-b\right)}^{45/4}\,c^4-56000\,a^5\,{\left(-b\right)}^{45/4}\,c^3-10962\,a^6\,{\left(-b\right)}^{41/4}\,c^6-38976\,a^6\,{\left(-b\right)}^{45/4}\,c^2-95928\,a^7\,{\left(-b\right)}^{41/4}\,c^5-78624\,a^8\,{\left(-b\right)}^{41/4}\,c^4-5376\,a^9\,{\left(-b\right)}^{41/4}\,c^3+221760\,a^2\,{\left(-b\right)}^{49/4}\,c^3+103404\,a^4\,{\left(-b\right)}^{45/4}\,c^5+343392\,a^5\,{\left(-b\right)}^{45/4}\,c^4-252\,a^6\,{\left(-b\right)}^{41/4}\,c^7+5376\,a^6\,{\left(-b\right)}^{45/4}\,c^3-16002\,a^7\,{\left(-b\right)}^{41/4}\,c^6-5376\,a^7\,{\left(-b\right)}^{45/4}\,c^2-45864\,a^8\,{\left(-b\right)}^{41/4}\,c^5-12096\,a^9\,{\left(-b\right)}^{41/4}\,c^4+110880\,a^2\,{\left(-b\right)}^{49/4}\,c^4+358400\,a^3\,{\left(-b\right)}^{49/4}\,c^3+10458\,a^4\,{\left(-b\right)}^{45/4}\,c^6+259644\,a^5\,{\left(-b\right)}^{45/4}\,c^5+359128\,a^6\,{\left(-b\right)}^{45/4}\,c^4-756\,a^7\,{\left(-b\right)}^{41/4}\,c^7+13888\,a^7\,{\left(-b\right)}^{45/4}\,c^3-10374\,a^8\,{\left(-b\right)}^{41/4}\,c^6-8736\,a^9\,{\left(-b\right)}^{41/4}\,c^5+3080\,a^2\,{\left(-b\right)}^{49/4}\,c^5+268800\,a^3\,{\left(-b\right)}^{49/4}\,c^4+347200\,a^4\,{\left(-b\right)}^{49/4}\,c^3+51534\,a^5\,{\left(-b\right)}^{45/4}\,c^6+343588\,a^6\,{\left(-b\right)}^{45/4}\,c^5+215040\,a^7\,{\left(-b\right)}^{45/4}\,c^4-756\,a^8\,{\left(-b\right)}^{41/4}\,c^7+3584\,a^8\,{\left(-b\right)}^{45/4}\,c^3-2520\,a^9\,{\left(-b\right)}^{41/4}\,c^6-3584\,a^3\,{\left(-b\right)}^{49/4}\,c^5+347200\,a^4\,{\left(-b\right)}^{49/4}\,c^4+2520\,a^5\,{\left(-b\right)}^{45/4}\,c^7+201600\,a^5\,{\left(-b\right)}^{49/4}\,c^3+101262\,a^6\,{\left(-b\right)}^{45/4}\,c^6+252840\,a^7\,{\left(-b\right)}^{45/4}\,c^5+68544\,a^8\,{\left(-b\right)}^{45/4}\,c^4-252\,a^9\,{\left(-b\right)}^{41/4}\,c^7-9926\,a^3\,{\left(-b\right)}^{49/4}\,c^6-71568\,a^4\,{\left(-b\right)}^{49/4}\,c^5+252000\,a^5\,{\left(-b\right)}^{49/4}\,c^4+9912\,a^6\,{\left(-b\right)}^{45/4}\,c^7+64960\,a^6\,{\left(-b\right)}^{49/4}\,c^3+99162\,a^7\,{\left(-b\right)}^{45/4}\,c^6+98112\,a^8\,{\left(-b\right)}^{45/4}\,c^5+8960\,a^9\,{\left(-b\right)}^{45/4}\,c^4-221760\,a^2\,{\left(-b\right)}^{53/4}\,c^4-65898\,a^4\,{\left(-b\right)}^{49/4}\,c^6-197792\,a^5\,{\left(-b\right)}^{49/4}\,c^5+210\,a^6\,{\left(-b\right)}^{45/4}\,c^8+97440\,a^6\,{\lef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,c^3+19040\,a\,{\left(-b\right)}^{49/4}\,c^4-76160\,a\,{\left(-b\right)}^{53/4}\,c^4-20160\,a\,{\left(-b\right)}^{53/4}\,c^5+45696\,a\,{\left(-b\right)}^{57/4}\,c^5+12544\,a\,{\left(-b\right)}^{57/4}\,c^6-15232\,a\,{\left(-b\right)}^{61/4}\,c^6-4288\,a\,{\left(-b\right)}^{61/4}\,c^7+2176\,a\,{\left(-b\right)}^{65/4}\,c^7+624\,a\,{\left(-b\right)}^{65/4}\,c^8\right)}{a^{16}\,b^{18}\,c^9+9\,a^{15}\,b^{18}\,c^8+36\,a^{14}\,b^{18}\,c^7+84\,a^{13}\,b^{18}\,c^6+126\,a^{12}\,b^{18}\,c^5+126\,a^{11}\,b^{18}\,c^4+84\,a^{10}\,b^{18}\,c^3+36\,a^9\,b^{18}\,c^2+9\,a^8\,b^{18}\,c+a^7\,b^{18}}+\frac{\left(b\,\left({\left(-b\right)}^{3/4}+a\,\left({\left(-b\right)}^{3/4}+\frac{{\left(-b\right)}^{3/4}\,c}{4}\right)\right)+\frac{a\,{\left(-b\right)}^{3/4}}{4}\right)\,\left(\frac{64\,{\left(-\frac{b\,x-1}{c+x}\right)}^{1/4}\,\left(512\,{\left(-b\right)}^{19/2}+a^5\,{\left(-b\right)}^{9/2}+a^4\,{\left(-b\right)}^{11/2}+2\,a^6\,{\left(-b\right)}^{9/2}-16\,a^3\,{\left(-b\right)}^{13/2}+18\,a^5\,{\left(-b\right)}^{11/2}+a^7\,{\left(-b\right)}^{9/2}-144\,a^2\,{\left(-b\right)}^{15/2}-176\,a^4\,{\left(-b\right)}^{13/2}+49\,a^6\,{\left(-b\right)}^{11/2}-576\,a^3\,{\left(-b\right)}^{15/2}-560\,a^5\,{\left(-b\right)}^{13/2}+48\,a^7\,{\left(-b\right)}^{11/2}+2688\,a^2\,{\left(-b\right)}^{17/2}-608\,a^4\,{\left(-b\right)}^{15/2}-784\,a^6\,{\left(-b\right)}^{13/2}+16\,a^8\,{\left(-b\right)}^{11/2}+7680\,a^3\,{\left(-b\right)}^{17/2}+448\,a^5\,{\left(-b\right)}^{15/2}-512\,a^7\,{\left(-b\right)}^{13/2}+7680\,a^2\,{\left(-b\right)}^{19/2}+11520\,a^4\,{\left(-b\right)}^{17/2}+1392\,a^6\,{\left(-b\right)}^{15/2}-128\,a^8\,{\left(-b\right)}^{13/2}+10240\,a^3\,{\left(-b\right)}^{19/2}+9600\,a^5\,{\left(-b\right)}^{17/2}+1024\,a^7\,{\left(-b\right)}^{15/2}+7680\,a^4\,{\left(-b\right)}^{19/2}+4224\,a^6\,{\left(-b\right)}^{17/2}+256\,a^8\,{\left(-b\right)}^{15/2}+3072\,a^5\,{\left(-b\right)}^{19/2}+768\,a^7\,{\left(-b\right)}^{17/2}+512\,a^6\,{\left(-b\right)}^{19/2}+7680\,{\left(-b\right)}^{23/2}\,c^2-10240\,{\left(-b\right)}^{25/2}\,c^3+7680\,{\left(-b\right)}^{27/2}\,c^4-3072\,{\left(-b\right)}^{29/2}\,c^5+512\,{\left(-b\right)}^{31/2}\,c^6+384\,a\,{\left(-b\right)}^{17/2}+3072\,a\,{\left(-b\right)}^{19/2}-3072\,{\left(-b\right)}^{21/2}\,c+a^7\,{\left(-b\right)}^{9/2}\,c^2-35\,a^6\,{\left(-b\right)}^{11/2}\,c^2+2\,a^8\,{\left(-b\right)}^{9/2}\,c^2+265\,a^5\,{\left(-b\right)}^{13/2}\,c^2-86\,a^7\,{\left(-b\right)}^{11/2}\,c^2+a^9\,{\left(-b\right)}^{9/2}\,c^2-851\,a^4\,{\left(-b\right)}^{15/2}\,c^2+738\,a^6\,{\left(-b\right)}^{13/2}\,c^2-10\,a^7\,{\left(-b\right)}^{11/2}\,c^3-67\,a^8\,{\left(-b\right)}^{11/2}\,c^2+2496\,a^3\,{\left(-b\right)}^{17/2}\,c^2-2566\,a^5\,{\left(-b\right)}^{15/2}\,c^2+224\,a^6\,{\left(-b\right)}^{13/2}\,c^3+649\,a^7\,{\left(-b\right)}^{13/2}\,c^2-20\,a^8\,{\left(-b\right)}^{11/2}\,c^3-16\,a^9\,{\left(-b\right)}^{11/2}\,c^2-5184\,a^2\,{\left(-b\right)}^{19/2}\,c^2+10432\,a^4\,{\left(-b\right)}^{17/2}\,c^2-1358\,a^5\,{\left(-b\right)}^{15/2}\,c^3-1907\,a^6\,{\left(-b\right)}^{15/2}\,c^2+592\,a^7\,{\left(-b\right)}^{13/2}\,c^3+144\,a^8\,{\left(-b\right)}^{13/2}\,c^2-10\,a^9\,{\left(-b\right)}^{11/2}\,c^3-31104\,a^3\,{\left(-b\right)}^{19/2}\,c^2+3784\,a^4\,{\left(-b\right)}^{17/2}\,c^3+14912\,a^5\,{\left(-b\right)}^{17/2}\,c^2-4364\,a^6\,{\left(-b\right)}^{15/2}\,c^3+45\,a^7\,{\left(-b\right)}^{13/2}\,c^4+1120\,a^7\,{\left(-b\right)}^{15/2}\,c^2+512\,a^8\,{\left(-b\right)}^{13/2}\,c^3-32\,a^9\,{\left(-b\right)}^{13/2}\,c^2+1152\,a^2\,{\left(-b\right)}^{21/2}\,c^2-7552\,a^3\,{\left(-b\right)}^{19/2}\,c^3-74624\,a^4\,{\left(-b\right)}^{19/2}\,c^2+14288\,a^5\,{\left(-b\right)}^{17/2}\,c^3-771\,a^6\,{\left(-b\right)}^{15/2}\,c^4+5824\,a^6\,{\left(-b\right)}^{17/2}\,c^2-4974\,a^7\,{\left(-b\right)}^{15/2}\,c^3+90\,a^8\,{\left(-b\right)}^{13/2}\,c^4+1952\,a^8\,{\left(-b\right)}^{15/2}\,c^2+144\,a^9\,{\left(-b\right)}^{13/2}\,c^3+6912\,a^2\,{\left(-b\right)}^{21/2}\,c^3+23040\,a^3\,{\left(-b\right)}^{21/2}\,c^2-36800\,a^4\,{\left(-b\right)}^{19/2}\,c^3+3874\,a^5\,{\left(-b\right)}^{17/2}\,c^4-91136\,a^5\,{\left(-b\right)}^{19/2}\,c^2+19144\,a^6\,{\left(-b\right)}^{17/2}\,c^3-2118\,a^7\,{\left(-b\right)}^{15/2}\,c^4-5120\,a^7\,{\left(-b\right)}^{17/2}\,c^2-2288\,a^8\,{\left(-b\right)}^{15/2}\,c^3+45\,a^9\,{\left(-b\right)}^{13/2}\,c^4+640\,a^9\,{\left(-b\right)}^{15/2}\,c^2+115200\,a^2\,{\left(-b\right)}^{23/2}\,c^2+49536\,a^3\,{\left(-b\right)}^{21/2}\,c^3-8750\,a^4\,{\left(-b\right)}^{19/2}\,c^4+57600\,a^4\,{\left(-b\right)}^{21/2}\,c^2-68032\,a^5\,{\left(-b\right)}^{19/2}\,c^3+13444\,a^6\,{\left(-b\right)}^{17/2}\,c^4-58944\,a^6\,{\left(-b\right)}^{19/2}\,c^2-120\,a^7\,{\left(-b\right)}^{15/2}\,c^5+9664\,a^7\,{\left(-b\right)}^{17/2}\,c^3-1923\,a^8\,{\left(-b\right)}^{15/2}\,c^4-5248\,a^8\,{\left(-b\right)}^{17/2}\,c^2-320\,a^9\,{\left(-b\right)}^{15/2}\,c^3+44160\,a^2\,{\left(-b\right)}^{23/2}\,c^3+11040\,a^3\,{\left(-b\right)}^{21/2}\,c^4+153600\,a^3\,{\left(-b\right)}^{23/2}\,c^2+137728\,a^4\,{\left(-b\right)}^{21/2}\,c^3-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0}+512\,a^8\,{\left(-b\right)}^{29/2}\,c^8-752\,a^9\,{\left(-b\right)}^{27/2}\,c^9+482\,a^5\,{\left(-b\right)}^{31/2}\,c^{10}+8\,a^6\,{\left(-b\right)}^{29/2}\,c^{11}+3408\,a^6\,{\left(-b\right)}^{31/2}\,c^9+221\,a^7\,{\left(-b\right)}^{29/2}\,c^{10}+2176\,a^7\,{\left(-b\right)}^{31/2}\,c^8-20\,a^8\,{\left(-b\right)}^{27/2}\,c^{11}+736\,a^8\,{\left(-b\right)}^{29/2}\,c^9-144\,a^9\,{\left(-b\right)}^{27/2}\,c^{10}+256\,a^9\,{\left(-b\right)}^{29/2}\,c^8+18\,a^5\,{\left(-b\right)}^{31/2}\,c^{11}+673\,a^6\,{\left(-b\right)}^{31/2}\,c^{10}+32\,a^7\,{\left(-b\right)}^{29/2}\,c^{11}+1488\,a^7\,{\left(-b\right)}^{31/2}\,c^9+272\,a^8\,{\left(-b\right)}^{29/2}\,c^{10}+256\,a^8\,{\left(-b\right)}^{31/2}\,c^8-10\,a^9\,{\left(-b\right)}^{27/2}\,c^{11}+256\,a^9\,{\left(-b\right)}^{29/2}\,c^9+52\,a^6\,{\left(-b\right)}^{31/2}\,c^{11}+a^7\,{\left(-b\right)}^{29/2}\,c^{12}+416\,a^7\,{\left(-b\right)}^{31/2}\,c^{10}+40\,a^8\,{\left(-b\right)}^{29/2}\,c^{11}+256\,a^8\,{\left(-b\right)}^{31/2}\,c^9+96\,a^9\,{\left(-b\right)}^{29/2}\,c^{10}+a^6\,{\left(-b\right)}^{31/2}\,c^{12}+50\,a^7\,{\left(-b\right)}^{31/2}\,c^{11}+2\,a^8\,{\left(-b\right)}^{29/2}\,c^{12}+96\,a^8\,{\left(-b\right)}^{31/2}\,c^{10}+16\,a^9\,{\left(-b\right)}^{29/2}\,c^{11}+2\,a^7\,{\left(-b\right)}^{31/2}\,c^{12}+16\,a^8\,{\left(-b\right)}^{31/2}\,c^{11}+a^9\,{\left(-b\right)}^{29/2}\,c^{12}+a^8\,{\left(-b\right)}^{31/2}\,c^{12}-1152\,a\,{\left(-b\right)}^{19/2}\,c-18432\,a\,{\left(-b\right)}^{21/2}\,c+2\,a^6\,{\left(-b\right)}^{9/2}\,c-24\,a^5\,{\left(-b\right)}^{11/2}\,c+4\,a^7\,{\left(-b\right)}^{9/2}\,c+70\,a^4\,{\left(-b\right)}^{13/2}\,c-48\,a^6\,{\left(-b\right)}^{11/2}\,c+2\,a^8\,{\left(-b\right)}^{9/2}\,c-288\,a^3\,{\left(-b\right)}^{15/2}\,c+60\,a^5\,{\left(-b\right)}^{13/2}\,c-8\,a^7\,{\left(-b\right)}^{11/2}\,c+1536\,a^2\,{\left(-b\right)}^{17/2}\,c-656\,a^4\,{\left(-b\right)}^{15/2}\,c-378\,a^6\,{\left(-b\right)}^{13/2}\,c+32\,a^8\,{\left(-b\right)}^{11/2}\,c+8064\,a^3\,{\left(-b\right)}^{17/2}\,c+656\,a^5\,{\left(-b\right)}^{15/2}\,c-784\,a^7\,{\left(-b\right)}^{13/2}\,c+16\,a^9\,{\left(-b\right)}^{11/2}\,c-9600\,a^2\,{\left(-b\right)}^{19/2}\,c+16384\,a^4\,{\left(-b\right)}^{17/2}\,c+3280\,a^6\,{\left(-b\right)}^{15/2}\,c-544\,a^8\,{\left(-b\right)}^{13/2}\,c-30720\,a^3\,{\left(-b\right)}^{19/2}\,c+15616\,a^5\,{\left(-b\right)}^{17/2}\,c+3664\,a^7\,{\left(-b\right)}^{15/2}\,c-128\,a^9\,{\left(-b\right)}^{13/2}\,c-1152\,a\,{\left(-b\right)}^{21/2}\,c^2-46080\,a^2\,{\left(-b\right)}^{21/2}\,c-49920\,a^4\,{\left(-b\right)}^{19/2}\,c+6144\,a^6\,{\left(-b\right)}^{17/2}\,c+1664\,a^8\,{\left(-b\right)}^{15/2}\,c-61440\,a^3\,{\left(-b\right)}^{21/2}\,c-44160\,a^5\,{\left(-b\right)}^{19/2}\,c-128\,a^7\,{\left(-b\right)}^{17/2}\,c+256\,a^9\,{\left(-b\right)}^{15/2}\,c+46080\,a\,{\left(-b\right)}^{23/2}\,c^2-46080\,a^4\,{\left(-b\right)}^{21/2}\,c-20352\,a^6\,{\left(-b\right)}^{19/2}\,c-512\,a^8\,{\left(-b\right)}^{17/2}\,c+9600\,a\,{\left(-b\right)}^{23/2}\,c^3-18432\,a^5\,{\left(-b\right)}^{21/2}\,c-3840\,a^7\,{\left(-b\right)}^{19/2}\,c-3072\,a^6\,{\left(-b\right)}^{21/2}\,c-61440\,a\,{\left(-b\right)}^{25/2}\,c^3-17280\,a\,{\left(-b\right)}^{25/2}\,c^4+46080\,a\,{\left(-b\right)}^{27/2}\,c^4+14976\,a\,{\left(-b\right)}^{27/2}\,c^5-18432\,a\,{\left(-b\right)}^{29/2}\,c^5-6528\,a\,{\left(-b\right)}^{29/2}\,c^6+3072\,a\,{\left(-b\right)}^{31/2}\,c^6+1152\,a\,{\left(-b\right)}^{31/2}\,c^7\right)}{{\left(-b\right)}^{1/4}\,\left(a^{15}\,b^{17}\,c^9+9\,a^{14}\,b^{17}\,c^8+36\,a^{13}\,b^{17}\,c^7+84\,a^{12}\,b^{17}\,c^6+126\,a^{11}\,b^{17}\,c^5+126\,a^{10}\,b^{17}\,c^4+84\,a^9\,b^{17}\,c^3+36\,a^8\,b^{17}\,c^2+9\,a^7\,b^{17}\,c+a^6\,b^{17}\right)}+\frac{\left(\frac{64\,\left(36\,a^{12}\,{\left(-b\right)}^{25/4}-4\,a^{13}\,{\left(-b\right)}^{21/4}+48\,a^{13}\,{\left(-b\right)}^{25/4}-60\,a^{11}\,{\left(-b\right)}^{29/4}-240\,a^{12}\,{\left(-b\right)}^{29/4}-192\,a^{13}\,{\left(-b\right)}^{29/4}-180\,a^{10}\,{\left(-b\right)}^{33/4}-240\,a^{11}\,{\left(-b\right)}^{33/4}+192\,a^{12}\,{\left(-b\right)}^{33/4}+240\,a^9\,{\left(-b\right)}^{37/4}+256\,a^{13}\,{\left(-b\right)}^{33/4}+1200\,a^{10}\,{\left(-b\right)}^{37/4}+1728\,a^{11}\,{\left(-b\right)}^{37/4}+320\,a^8\,{\left(-b\right)}^{41/4}+768\,a^{12}\,{\left(-b\right)}^{37/4}+1152\,a^9\,{\left(-b\right)}^{41/4}+1344\,a^{10}\,{\left(-b\right)}^{41/4}+512\,a^{11}\,{\left(-b\right)}^{41/4}-144\,a^{13}\,{\left(-b\right)}^{29/4}\,c^2+912\,a^{12}\,{\left(-b\right)}^{33/4}\,c^2+1344\,a^{13}\,{\left(-b\right)}^{33/4}\,c^2+336\,a^{13}\,{\left(-b\right)}^{33/4}\,c^3-432\,a^{11}\,{\left(-b\right)}^{37/4}\,c^2-4032\,a^{12}\,{\left(-b\right)}^{37/4}\,c^2-1680\,a^{12}\,{\left(-b\right)}^{37/4}\,c^3-4032\,a^{13}\,{\left(-b\right)}^{37/4}\,c^2-4624\,a^{10}\,{\left(-b\right)}^{41/4}\,c^2-2688\,a^{13}\,{\left(-b\right)}^{37/4}\,c^3-9408\,a^{11}\,{\left(-b\right)}^{41/4}\,c^2-504\,a^{13}\,{\left(-b\right)}^{37/4}\,c^4-336\,a^{11}\,{\left(-b\right)}^{41/4}\,c^3-1344\,a^{12}\,{\left(-b\right)}^{41/4}\,c^2+3584\,a^9\,{\left(-b\right)}^{45/4}\,c^2+5376\,a^{12}\,{\left(-b\right)}^{41/4}\,c^3+3584\,a^{13}\,{\left(-b\right)}^{41/4}\,c^2+20160\,a^{10}\,{\left(-b\right)}^{45/4}\,c^2+1848\,a^{12}\,{\left(-b\right)}^{41/4}\,c^4+6720\,a^{13}\,{\left(-b\right)}^{41/4}\,c^3+8848\,a^{10}\,{\left(-b\right)}^{45/4}\,c^3+30912\,a^{11}\,{\left(-b\right)}^{45/4}\,c^2+3360\,a^{13}\,{\left(-b\right)}^{41/4}\,c^4+6720\,a^8\,{\left(-b\right)}^{49/4}\,c^2+21504\,a^{11}\,{\left(-b\right)}^{45/4}\,c^3+14336\,a^{12}\,{\left(-b\right)}^{45/4}\,c^2+504\,a^{13}\,{\left(-b\right)}^{41/4}\,c^5+24192\,a^9\,{\left(-b\right)}^{49/4}\,c^2+1848\,a^{11}\,{\left(-b\right)}^{45/4}\,c^4+9408\,a^{12}\,{\left(-b\right)}^{45/4}\,c^3-4032\,a^9\,{\left(-b\right)}^{49/4}\,c^3+28224\,a^{10}\,{\left(-b\right)}^{49/4}\,c^2-3360\,a^{12}\,{\left(-b\right)}^{45/4}\,c^4-3584\,a^{13}\,{\left(-b\right)}^{45/4}\,c^3-26880\,a^{10}\,{\left(-b\right)}^{49/4}\,c^3+10752\,a^{11}\,{\left(-b\right)}^{49/4}\,c^2-1176\,a^{12}\,{\left(-b\right)}^{45/4}\,c^5-6720\,a^{13}\,{\left(-b\right)}^{45/4}\,c^4-10584\,a^{10}\,{\left(-b\right)}^{49/4}\,c^4-44352\,a^{11}\,{\left(-b\right)}^{49/4}\,c^3-2688\,a^{13}\,{\left(-b\right)}^{45/4}\,c^5-11200\,a^8\,{\left(-b\right)}^{53/4}\,c^3-30240\,a^{11}\,{\left(-b\right)}^{49/4}\,c^4-21504\,a^{12}\,{\left(-b\right)}^{49/4}\,c^3-336\,a^{13}\,{\left(-b\right)}^{45/4}\,c^6-40320\,a^9\,{\left(-b\right)}^{53/4}\,c^3-2520\,a^{11}\,{\left(-b\right)}^{49/4}\,c^5-20160\,a^{12}\,{\left(-b\right)}^{49/4}\,c^4+1120\,a^9\,{\left(-b\right)}^{53/4}\,c^4-47040\,a^{10}\,{\left(-b\right)}^{53/4}\,c^3+16800\,a^{10}\,{\left(-b\right)}^{53/4}\,c^4-17920\,a^{11}\,{\left(-b\right)}^{53/4}\,c^3+336\,a^{12}\,{\left(-b\right)}^{49/4}\,c^6+4032\,a^{13}\,{\left(-b\right)}^{49/4}\,c^5+8120\,a^{10}\,{\left(-b\right)}^{53/4}\,c^5+33600\,a^{11}\,{\left(-b\right)}^{53/4}\,c^4+1344\,a^{13}\,{\left(-b\right)}^{49/4}\,c^6+11200\,a^8\,{\left(-b\right)}^{57/4}\,c^4+26880\,a^{11}\,{\left(-b\right)}^{53/4}\,c^5+17920\,a^{12}\,{\left(-b\right)}^{53/4}\,c^4+144\,a^{13}\,{\left(-b\right)}^{49/4}\,c^7+40320\,a^9\,{\left(-b\right)}^{57/4}\,c^4+1680\,a^{11}\,{\left(-b\right)}^{53/4}\,c^6+22848\,a^{12}\,{\left(-b\right)}^{53/4}\,c^5+2240\,a^9\,{\left(-b\right)}^{57/4}\,c^5+47040\,a^{10}\,{\left(-b\right)}^{57/4}\,c^4+1344\,a^{12}\,{\left(-b\right)}^{53/4}\,c^6+3584\,a^{13}\,{\left(-b\right)}^{53/4}\,c^5+17920\,a^{11}\,{\left(-b\right)}^{57/4}\,c^4+48\,a^{12}\,{\left(-b\right)}^{53/4}\,c^7-1344\,a^{13}\,{\left(-b\right)}^{53/4}\,c^6-3920\,a^{10}\,{\left(-b\right)}^{57/4}\,c^6-9408\,a^{11}\,{\left(-b\right)}^{57/4}\,c^5-384\,a^{13}\,{\left(-b\right)}^{53/4}\,c^7-6720\,a^8\,{\left(-b\right)}^{61/4}\,c^5-14784\,a^{11}\,{\left(-b\right)}^{57/4}\,c^6-7168\,a^{12}\,{\left(-b\right)}^{57/4}\,c^5-36\,a^{13}\,{\left(-b\right)}^{53/4}\,c^8-24192\,a^9\,{\left(-b\right)}^{61/4}\,c^5-528\,a^{11}\,{\left(-b\right)}^{57/4}\,c^7-14784\,a^{12}\,{\left(-b\right)}^{57/4}\,c^6-2688\,a^9\,{\left(-b\right)}^{61/4}\,c^6-28224\,a^{10}\,{\left(-b\right)}^{61/4}\,c^5-768\,a^{12}\,{\left(-b\right)}^{57/4}\,c^7-3584\,a^{13}\,{\left(-b\right)}^{57/4}\,c^6-6720\,a^{10}\,{\left(-b\right)}^{61/4}\,c^6-10752\,a^{11}\,{\left(-b\right)}^{61/4}\,c^5-60\,a^{12}\,{\left(-b\right)}^{57/4}\,c^8+192\,a^{13}\,{\left(-b\right)}^{57/4}\,c^7+1104\,a^{10}\,{\left(-b\right)}^{61/4}\,c^7-4032\,a^{11}\,{\left(-b\right)}^{61/4}\,c^6+48\,a^{13}\,{\left(-b\right)}^{57/4}\,c^8+2240\,a^8\,{\left(-b\right)}^{65/4}\,c^6+4608\,a^{11}\,{\left(-b\right)}^{61/4}\,c^7+4\,a^{13}\,{\left(-b\right)}^{57/4}\,c^9+8064\,a^9\,{\left(-b\right)}^{65/4}\,c^6+36\,a^{11}\,{\left(-b\right)}^{61/4}\,c^8+5184\,a^{12}\,{\left(-b\right)}^{61/4}\,c^7+1216\,a^9\,{\left(-b\right)}^{65/4}\,c^7+9408\,a^{10}\,{\left(-b\right)}^{65/4}\,c^6+144\,a^{12}\,{\left(-b\right)}^{61/4}\,c^8+1536\,a^{13}\,{\left(-b\right)}^{61/4}\,c^7+3840\,a^{10}\,{\left(-b\right)}^{65/4}\,c^7+3584\,a^{11}\,{\left(-b\right)}^{65/4}\,c^6+12\,a^{12}\,{\left(-b\right)}^{61/4}\,c^9-148\,a^{10}\,{\left(-b\right)}^{65/4}\,c^8+3648\,a^{11}\,{\left(-b\right)}^{65/4}\,c^7-320\,a^8\,{\left(-b\right)}^{69/4}\,c^7-624\,a^{11}\,{\left(-b\right)}^{65/4}\,c^8+1024\,a^{12}\,{\left(-b\right)}^{65/4}\,c^7-1152\,a^9\,{\left(-b\right)}^{69/4}\,c^7+12\,a^{11}\,{\left(-b\right)}^{65/4}\,c^9-768\,a^{12}\,{\left(-b\right)}^{65/4}\,c^8-208\,a^9\,{\left(-b\right)}^{69/4}\,c^8-1344\,a^{10}\,{\left(-b\right)}^{69/4}\,c^7-256\,a^{13}\,{\left(-b\right)}^{65/4}\,c^8-720\,a^{10}\,{\left(-b\right)}^{69/4}\,c^8-512\,a^{11}\,{\left(-b\right)}^{69/4}\,c^7+4\,a^{10}\,{\left(-b\right)}^{69/4}\,c^9-768\,a^{11}\,{\left(-b\right)}^{69/4}\,c^8-256\,a^{12}\,{\left(-b\right)}^{69/4}\,c^8+36\,a^{13}\,{\left(-b\right)}^{25/4}\,c-276\,a^{12}\,{\left(-b\right)}^{29/4}\,c-384\,a^{13}\,{\left(-b\right)}^{29/4}\,c+300\,a^{11}\,{\left(-b\right)}^{33/4}\,c+1536\,a^{12}\,{\left(-b\right)}^{33/4}\,c+1344\,a^{13}\,{\left(-b\right)}^{33/4}\,c+1380\,a^{10}\,{\left(-b\right)}^{37/4}\,c+2304\,a^{11}\,{\left(-b\right)}^{37/4}\,c-576\,a^{12}\,{\left(-b\right)}^{37/4}\,c-1472\,a^9\,{\left(-b\right)}^{41/4}\,c-1536\,a^{13}\,{\left(-b\right)}^{37/4}\,c-7680\,a^{10}\,{\left(-b\right)}^{41/4}\,c-11328\,a^{11}\,{\left(-b\right)}^{41/4}\,c-2240\,a^8\,{\left(-b\right)}^{45/4}\,c-5120\,a^{12}\,{\left(-b\right)}^{41/4}\,c-8064\,a^9\,{\left(-b\right)}^{45/4}\,c-9408\,a^{10}\,{\left(-b\right)}^{45/4}\,c-3584\,a^{11}\,{\left(-b\right)}^{45/4}\,c\right)}{a^{16}\,b^{18}\,c^9+9\,a^{15}\,b^{18}\,c^8+36\,a^{14}\,b^{18}\,c^7+84\,a^{13}\,b^{18}\,c^6+126\,a^{12}\,b^{18}\,c^5+126\,a^{11}\,b^{18}\,c^4+84\,a^{10}\,b^{18}\,c^3+36\,a^9\,b^{18}\,c^2+9\,a^8\,b^{18}\,c+a^7\,b^{18}}-\frac{64\,{\left(-\frac{b\,x-1}{c+x}\right)}^{1/4}\,\left(b\,\left({\left(-b\right)}^{3/4}+a\,\left({\left(-b\right)}^{3/4}+\frac{{\left(-b\right)}^{3/4}\,c}{4}\right)\right)+\frac{a\,{\left(-b\right)}^{3/4}}{4}\right)\,\left(16\,a^{13}\,{\left(-b\right)}^{11/2}-80\,a^{12}\,{\left(-b\right)}^{13/2}-80\,a^{11}\,{\left(-b\right)}^{15/2}-128\,a^{13}\,{\left(-b\right)}^{13/2}+400\,a^{10}\,{\left(-b\right)}^{17/2}+128\,a^{12}\,{\left(-b\right)}^{15/2}+896\,a^9\,{\left(-b\right)}^{19/2}+1152\,a^{11}\,{\left(-b\right)}^{17/2}+256\,a^{13}\,{\left(-b\right)}^{15/2}+512\,a^8\,{\left(-b\right)}^{21/2}+1920\,a^{10}\,{\left(-b\right)}^{19/2}+768\,a^{12}\,{\left(-b\right)}^{17/2}+1024\,a^9\,{\left(-b\right)}^{21/2}+1024\,a^{11}\,{\left(-b\right)}^{19/2}+512\,a^{10}\,{\left(-b\right)}^{21/2}+448\,a^{13}\,{\left(-b\right)}^{15/2}\,c^2-1344\,a^{12}\,{\left(-b\right)}^{17/2}\,c^2-2624\,a^{11}\,{\left(-b\right)}^{19/2}\,c^2-2688\,a^{13}\,{\left(-b\right)}^{17/2}\,c^2+1088\,a^{10}\,{\left(-b\right)}^{21/2}\,c^2+128\,a^{12}\,{\left(-b\right)}^{19/2}\,c^2-896\,a^{13}\,{\left(-b\right)}^{17/2}\,c^3+9600\,a^9\,{\left(-b\right)}^{23/2}\,c^2+9344\,a^{11}\,{\left(-b\right)}^{21/2}\,c^2+1792\,a^{12}\,{\left(-b\right)}^{19/2}\,c^3+4096\,a^{13}\,{\left(-b\right)}^{19/2}\,c^2+7680\,a^8\,{\left(-b\right)}^{25/2}\,c^2+21888\,a^{10}\,{\left(-b\right)}^{23/2}\,c^2+4096\,a^{11}\,{\left(-b\right)}^{21/2}\,c^3+8704\,a^{12}\,{\left(-b\right)}^{21/2}\,c^2+4480\,a^{13}\,{\left(-b\right)}^{19/2}\,c^3+15360\,a^9\,{\left(-b\right)}^{25/2}\,c^2+3328\,a^{10}\,{\left(-b\right)}^{23/2}\,c^3+12288\,a^{11}\,{\left(-b\right)}^{23/2}\,c^2+128\,a^{12}\,{\left(-b\right)}^{21/2}\,c^3+1120\,a^{13}\,{\left(-b\right)}^{19/2}\,c^4-8320\,a^9\,{\left(-b\right)}^{25/2}\,c^3+7680\,a^{10}\,{\left(-b\right)}^{25/2}\,c^2-4992\,a^{11}\,{\left(-b\right)}^{23/2}\,c^3-1120\,a^{12}\,{\left(-b\right)}^{21/2}\,c^4-6656\,a^{13}\,{\left(-b\right)}^{21/2}\,c^3-10240\,a^8\,{\left(-b\right)}^{27/2}\,c^3-21120\,a^{10}\,{\left(-b\right)}^{25/2}\,c^3-2400\,a^{11}\,{\left(-b\right)}^{23/2}\,c^4-9216\,a^{12}\,{\left(-b\right)}^{23/2}\,c^3-4480\,a^{13}\,{\left(-b\right)}^{21/2}\,c^4-20480\,a^9\,{\left(-b\right)}^{27/2}\,c^3-7200\,a^{10}\,{\left(-b\right)}^{25/2}\,c^4-12800\,a^{11}\,{\left(-b\right)}^{25/2}\,c^3+1920\,a^{12}\,{\left(-b\right)}^{23/2}\,c^4-896\,a^{13}\,{\left(-b\right)}^{21/2}\,c^5+640\,a^9\,{\left(-b\right)}^{27/2}\,c^4-10240\,a^{10}\,{\left(-b\right)}^{27/2}\,c^3-3200\,a^{11}\,{\left(-b\right)}^{25/2}\,c^4+7680\,a^{13}\,{\left(-b\right)}^{23/2}\,c^4+7680\,a^8\,{\left(-b\right)}^{29/2}\,c^4+5760\,a^{10}\,{\left(-b\right)}^{27/2}\,c^4-1280\,a^{11}\,{\left(-b\right)}^{25/2}\,c^5+5120\,a^{12}\,{\left(-b\right)}^{25/2}\,c^4+2688\,a^{13}\,{\left(-b\right)}^{23/2}\,c^5+15360\,a^9\,{\left(-b\right)}^{29/2}\,c^4+5120\,a^{10}\,{\left(-b\right)}^{27/2}\,c^5+5120\,a^{11}\,{\left(-b\right)}^{27/2}\,c^4-5248\,a^{12}\,{\left(-b\right)}^{25/2}\,c^5+448\,a^{13}\,{\left(-b\right)}^{23/2}\,c^6+4224\,a^9\,{\left(-b\right)}^{29/2}\,c^5+7680\,a^{10}\,{\left(-b\right)}^{29/2}\,c^4+3968\,a^{11}\,{\left(-b\right)}^{27/2}\,c^5+448\,a^{12}\,{\left(-b\right)}^{25/2}\,c^6-6656\,a^{13}\,{\left(-b\right)}^{25/2}\,c^5-3072\,a^8\,{\left(-b\right)}^{31/2}\,c^5+5760\,a^{10}\,{\left(-b\right)}^{29/2}\,c^5+2752\,a^{11}\,{\left(-b\right)}^{27/2}\,c^6-2048\,a^{12}\,{\left(-b\right)}^{27/2}\,c^5-896\,a^{13}\,{\left(-b\right)}^{25/2}\,c^6-6144\,a^9\,{\left(-b\right)}^{31/2}\,c^5-704\,a^{10}\,{\left(-b\right)}^{29/2}\,c^6+1536\,a^{11}\,{\left(-b\right)}^{29/2}\,c^5+5504\,a^{12}\,{\left(-b\right)}^{27/2}\,c^6-128\,a^{13}\,{\left(-b\right)}^{25/2}\,c^7-2944\,a^9\,{\left(-b\right)}^{31/2}\,c^6-3072\,a^{10}\,{\left(-b\right)}^{31/2}\,c^5+384\,a^{11}\,{\left(-b\right)}^{29/2}\,c^6-256\,a^{12}\,{\left(-b\right)}^{27/2}\,c^7+4096\,a^{13}\,{\left(-b\right)}^{27/2}\,c^6+512\,a^8\,{\left(-b\right)}^{33/2}\,c^6-4992\,a^{10}\,{\left(-b\right)}^{31/2}\,c^6-1536\,a^{11}\,{\left(-b\right)}^{29/2}\,c^7+1536\,a^{12}\,{\left(-b\right)}^{29/2}\,c^6+128\,a^{13}\,{\left(-b\right)}^{27/2}\,c^7+1024\,a^9\,{\left(-b\right)}^{33/2}\,c^6-768\,a^{10}\,{\left(-b\right)}^{31/2}\,c^7-2048\,a^{11}\,{\left(-b\right)}^{31/2}\,c^6-2688\,a^{12}\,{\left(-b\right)}^{29/2}\,c^7+16\,a^{13}\,{\left(-b\right)}^{27/2}\,c^8+640\,a^9\,{\left(-b\right)}^{33/2}\,c^7+512\,a^{10}\,{\left(-b\right)}^{33/2}\,c^6-1664\,a^{11}\,{\left(-b\right)}^{31/2}\,c^7+48\,a^{12}\,{\left(-b\right)}^{29/2}\,c^8-1536\,a^{13}\,{\left(-b\right)}^{29/2}\,c^7+1152\,a^{10}\,{\left(-b\right)}^{33/2}\,c^7+304\,a^{11}\,{\left(-b\right)}^{31/2}\,c^8-1024\,a^{12}\,{\left(-b\right)}^{31/2}\,c^7+272\,a^{10}\,{\left(-b\right)}^{33/2}\,c^8+512\,a^{11}\,{\left(-b\right)}^{33/2}\,c^7+512\,a^{12}\,{\left(-b\right)}^{31/2}\,c^8+512\,a^{11}\,{\left(-b\right)}^{33/2}\,c^8+256\,a^{13}\,{\left(-b\right)}^{31/2}\,c^8+256\,a^{12}\,{\left(-b\right)}^{33/2}\,c^8-128\,a^{13}\,{\left(-b\right)}^{13/2}\,c+512\,a^{12}\,{\left(-b\right)}^{15/2}\,c+768\,a^{11}\,{\left(-b\right)}^{17/2}\,c+896\,a^{13}\,{\left(-b\right)}^{15/2}\,c-1536\,a^{10}\,{\left(-b\right)}^{19/2}\,c-384\,a^{12}\,{\left(-b\right)}^{17/2}\,c-4736\,a^9\,{\left(-b\right)}^{21/2}\,c-5504\,a^{11}\,{\left(-b\right)}^{19/2}\,c-1536\,a^{13}\,{\left(-b\right)}^{17/2}\,c-3072\,a^8\,{\left(-b\right)}^{23/2}\,c-10368\,a^{10}\,{\left(-b\right)}^{21/2}\,c-4096\,a^{12}\,{\left(-b\right)}^{19/2}\,c-6144\,a^9\,{\left(-b\right)}^{23/2}\,c-5632\,a^{11}\,{\left(-b\right)}^{21/2}\,c-3072\,a^{10}\,{\left(-b\right)}^{23/2}\,c\right)}{a^2\,{\left(-b\right)}^{9/4}\,\left(a^{15}\,b^{17}\,c^9+9\,a^{14}\,b^{17}\,c^8+36\,a^{13}\,b^{17}\,c^7+84\,a^{12}\,b^{17}\,c^6+126\,a^{11}\,b^{17}\,c^5+126\,a^{10}\,b^{17}\,c^4+84\,a^9\,b^{17}\,c^3+36\,a^8\,b^{17}\,c^2+9\,a^7\,b^{17}\,c+a^6\,b^{17}\right)}\right)\,{\left(b\,\left({\left(-b\right)}^{3/4}+a\,\left({\left(-b\right)}^{3/4}+\frac{{\left(-b\right)}^{3/4}\,c}{4}\right)\right)+\frac{a\,{\left(-b\right)}^{3/4}}{4}\right)}^3}{a^6\,b^6}\right)}{a^2\,b^2}-\frac{\left(b\,\left({\left(-b\right)}^{3/4}+a\,\left({\left(-b\right)}^{3/4}+\frac{{\left(-b\right)}^{3/4}\,c}{4}\right)\right)+\frac{a\,{\left(-b\right)}^{3/4}}{4}\right)\,\left(\frac{64\,{\left(-\frac{b\,x-1}{c+x}\right)}^{1/4}\,\left(512\,{\left(-b\right)}^{19/2}+a^5\,{\left(-b\right)}^{9/2}+a^4\,{\left(-b\right)}^{11/2}+2\,a^6\,{\left(-b\right)}^{9/2}-16\,a^3\,{\left(-b\right)}^{13/2}+18\,a^5\,{\left(-b\right)}^{11/2}+a^7\,{\left(-b\right)}^{9/2}-144\,a^2\,{\left(-b\right)}^{15/2}-176\,a^4\,{\left(-b\right)}^{13/2}+49\,a^6\,{\left(-b\right)}^{11/2}-576\,a^3\,{\left(-b\right)}^{15/2}-560\,a^5\,{\left(-b\right)}^{13/2}+48\,a^7\,{\left(-b\right)}^{11/2}+2688\,a^2\,{\left(-b\right)}^{17/2}-608\,a^4\,{\left(-b\right)}^{15/2}-784\,a^6\,{\left(-b\right)}^{13/2}+16\,a^8\,{\left(-b\right)}^{11/2}+7680\,a^3\,{\left(-b\right)}^{17/2}+448\,a^5\,{\left(-b\right)}^{15/2}-512\,a^7\,{\left(-b\right)}^{13/2}+7680\,a^2\,{\left(-b\right)}^{19/2}+11520\,a^4\,{\left(-b\right)}^{17/2}+1392\,a^6\,{\left(-b\right)}^{15/2}-128\,a^8\,{\left(-b\right)}^{13/2}+10240\,a^3\,{\left(-b\right)}^{19/2}+9600\,a^5\,{\left(-b\right)}^{17/2}+1024\,a^7\,{\left(-b\right)}^{15/2}+7680\,a^4\,{\left(-b\right)}^{19/2}+4224\,a^6\,{\left(-b\right)}^{17/2}+256\,a^8\,{\left(-b\right)}^{15/2}+3072\,a^5\,{\left(-b\right)}^{19/2}+768\,a^7\,{\left(-b\right)}^{17/2}+512\,a^6\,{\left(-b\right)}^{19/2}+7680\,{\left(-b\right)}^{23/2}\,c^2-10240\,{\left(-b\right)}^{25/2}\,c^3+7680\,{\left(-b\right)}^{27/2}\,c^4-3072\,{\left(-b\right)}^{29/2}\,c^5+512\,{\left(-b\right)}^{31/2}\,c^6+384\,a\,{\left(-b\right)}^{17/2}+3072\,a\,{\left(-b\right)}^{19/2}-3072\,{\left(-b\right)}^{21/2}\,c+a^7\,{\left(-b\right)}^{9/2}\,c^2-35\,a^6\,{\left(-b\right)}^{11/2}\,c^2+2\,a^8\,{\left(-b\right)}^{9/2}\,c^2+265\,a^5\,{\left(-b\right)}^{13/2}\,c^2-86\,a^7\,{\left(-b\right)}^{11/2}\,c^2+a^9\,{\left(-b\right)}^{9/2}\,c^2-851\,a^4\,{\left(-b\right)}^{15/2}\,c^2+738\,a^6\,{\left(-b\right)}^{13/2}\,c^2-10\,a^7\,{\left(-b\right)}^{11/2}\,c^3-67\,a^8\,{\left(-b\right)}^{11/2}\,c^2+2496\,a^3\,{\left(-b\right)}^{17/2}\,c^2-2566\,a^5\,{\left(-b\right)}^{15/2}\,c^2+224\,a^6\,{\left(-b\right)}^{13/2}\,c^3+649\,a^7\,{\left(-b\right)}^{13/2}\,c^2-20\,a^8\,{\left(-b\right)}^{11/2}\,c^3-16\,a^9\,{\left(-b\right)}^{11/2}\,c^2-5184\,a^2\,{\left(-b\right)}^{19/2}\,c^2+10432\,a^4\,{\left(-b\right)}^{17/2}\,c^2-1358\,a^5\,{\left(-b\right)}^{15/2}\,c^3-1907\,a^6\,{\left(-b\right)}^{15/2}\,c^2+592\,a^7\,{\left(-b\right)}^{13/2}\,c^3+144\,a^8\,{\left(-b\right)}^{13/2}\,c^2-10\,a^9\,{\left(-b\right)}^{11/2}\,c^3-31104\,a^3\,{\left(-b\right)}^{19/2}\,c^2+3784\,a^4\,{\left(-b\right)}^{17/2}\,c^3+14912\,a^5\,{\left(-b\right)}^{17/2}\,c^2-4364\,a^6\,{\left(-b\right)}^{15/2}\,c^3+45\,a^7\,{\left(-b\right)}^{13/2}\,c^4+1120\,a^7\,{\left(-b\right)}^{15/2}\,c^2+512\,a^8\,{\left(-b\right)}^{13/2}\,c^3-32\,a^9\,{\left(-b\right)}^{13/2}\,c^2+1152\,a^2\,{\left(-b\right)}^{21/2}\,c^2-7552\,a^3\,{\left(-b\right)}^{19/2}\,c^3-74624\,a^4\,{\left(-b\right)}^{19/2}\,c^2+14288\,a^5\,{\left(-b\right)}^{17/2}\,c^3-771\,a^6\,{\left(-b\right)}^{15/2}\,c^4+5824\,a^6\,{\left(-b\right)}^{17/2}\,c^2-4974\,a^7\,{\left(-b\right)}^{15/2}\,c^3+90\,a^8\,{\left(-b\right)}^{13/2}\,c^4+1952\,a^8\,{\left(-b\right)}^{15/2}\,c^2+144\,a^9\,{\left(-b\right)}^{13/2}\,c^3+6912\,a^2\,{\left(-b\right)}^{21/2}\,c^3+23040\,a^3\,{\left(-b\right)}^{21/2}\,c^2-36800\,a^4\,{\left(-b\right)}^{19/2}\,c^3+3874\,a^5\,{\left(-b\right)}^{17/2}\,c^4-91136\,a^5\,{\left(-b\right)}^{19/2}\,c^2+19144\,a^6\,{\left(-b\right)}^{17/2}\,c^3-2118\,a^7\,{\left(-b\right)}^{15/2}\,c^4-5120\,a^7\,{\left(-b\right)}^{17/2}\,c^2-2288\,a^8\,{\left(-b\right)}^{15/2}\,c^3+45\,a^9\,{\left(-b\right)}^{13/2}\,c^4+640\,a^9\,{\left(-b\right)}^{15/2}\,c^2+115200\,a^2\,{\left(-b\right)}^{23/2}\,c^2+49536\,a^3\,{\left(-b\right)}^{21/2}\,c^3-8750\,a^4\,{\left(-b\right)}^{19/2}\,c^4+57600\,a^4\,{\left(-b\right)}^{21/2}\,c^2-68032\,a^5\,{\left(-b\right)}^{19/2}\,c^3+13444\,a^6\,{\left(-b\right)}^{17/2}\,c^4-58944\,a^6\,{\left(-b\right)}^{19/2}\,c^2-120\,a^7\,{\left(-b\right)}^{15/2}\,c^5+9664\,a^7\,{\left(-b\right)}^{17/2}\,c^3-1923\,a^8\,{\left(-b\right)}^{15/2}\,c^4-5248\,a^8\,{\left(-b\right)}^{17/2}\,c^2-320\,a^9\,{\left(-b\right)}^{15/2}\,c^3+44160\,a^2\,{\left(-b\right)}^{23/2}\,c^3+11040\,a^3\,{\left(-b\right)}^{21/2}\,c^4+153600\,a^3\,{\left(-b\right)}^{23/2}\,c^2+137728\,a^4\,{\left(-b\right)}^{21/2}\,c^3-36988\,a^5\,{\left(-b\right)}^{19/2}\,c^4+63360\,a^5\,{\left(-b\right)}^{21/2}\,c^2+1644\,a^6\,{\left(-b\right)}^{17/2}\,c^5-56512\,a^6\,{\left(-b\right)}^{19/2}\,c^3+17058\,a^7\,{\left(-b\right)}^{17/2}\,c^4-18560\,a^7\,{\left(-b\right)}^{19/2}\,c^2-240\,a^8\,{\left(-b\right)}^{15/2}\,c^5+128\,a^8\,{\left(-b\right)}^{17/2}\,c^3-576\,a^9\,{\left(-b\right)}^{15/2}\,c^4-1280\,a^9\,{\left(-b\right)}^{17/2}\,c^2-480\,a^2\,{\left(-b\right)}^{23/2}\,c^4+76800\,a^3\,{\left(-b\right)}^{23/2}\,c^3+60640\,a^4\,{\left(-b\right)}^{21/2}\,c^4+115200\,a^4\,{\left(-b\right)}^{23/2}\,c^2-6776\,a^5\,{\left(-b\right)}^{19/2}\,c^5+193792\,a^5\,{\left(-b\right)}^{21/2}\,c^3-59150\,a^6\,{\left(-b\right)}^{19/2}\,c^4+33408\,a^6\,{\left(-b\right)}^{21/2}\,c^2+4632\,a^7\,{\left(-b\right)}^{17/2}\,c^5-16064\,a^7\,{\left(-b\right)}^{19/2}\,c^3+9280\,a^8\,{\left(-b\right)}^{17/2}\,c^4-2048\,a^8\,{\left(-b\right)}^{19/2}\,c^2-120\,a^9\,{\left(-b\right)}^{15/2}\,c^5-896\,a^9\,{\left(-b\right)}^{17/2}\,c^3-153600\,a^2\,{\left(-b\right)}^{25/2}\,c^3-23040\,a^3\,{\left(-b\right)}^{23/2}\,c^4+11620\,a^4\,{\left(-b\right)}^{21/2}\,c^5+57600\,a^4\,{\left(-b\right)}^{23/2}\,c^3+128864\,a^5\,{\left(-b\right)}^{21/2}\,c^4+46080\,a^5\,{\left(-b\right)}^{23/2}\,c^2-24752\,a^6\,{\left(-b\right)}^{19/2}\,c^5+146688\,a^6\,{\left(-b\right)}^{21/2}\,c^3+210\,a^7\,{\left(-b\right)}^{17/2}\,c^6-43232\,a^7\,{\left(-b\right)}^{19/2}\,c^4+6912\,a^7\,{\left(-b\right)}^{21/2}\,c^2+4332\,a^8\,{\left(-b\right)}^{17/2}\,c^5+3968\,a^8\,{\left(-b\right)}^{19/2}\,c^3+1792\,a^9\,{\left(-b\right)}^{17/2}\,c^4-90240\,a^2\,{\left(-b\right)}^{25/2}\,c^4-7104\,a^3\,{\left(-b\right)}^{23/2}\,c^5-204800\,a^3\,{\left(-b\right)}^{25/2}\,c^3-100160\,a^4\,{\left(-b\right)}^{23/2}\,c^4+53480\,a^5\,{\left(-b\right)}^{21/2}\,c^5+9600\,a^5\,{\left(-b\right)}^{23/2}\,c^3-2310\,a^6\,{\left(-b\right)}^{19/2}\,c^6+131872\,a^6\,{\left(-b\right)}^{21/2}\,c^4+7680\,a^6\,{\left(-b\right)}^{23/2}\,c^2-33432\,a^7\,{\left(-b\right)}^{19/2}\,c^5+56704\,a^7\,{\left(-b\right)}^{21/2}\,c^3+420\,a^8\,{\left(-b\right)}^{17/2}\,c^6-13216\,a^8\,{\left(-b\right)}^{19/2}\,c^4+1344\,a^9\,{\left(-b\right)}^{17/2}\,c^5+2304\,a^9\,{\left(-b\right)}^{19/2}\,c^3-9216\,a^2\,{\left(-b\right)}^{25/2}\,c^5-192000\,a^3\,{\left(-b\right)}^{25/2}\,c^4-48224\,a^4\,{\left(-b\right)}^{23/2}\,c^5-153600\,a^4\,{\left(-b\right)}^{25/2}\,c^3+7546\,a^5\,{\left(-b\right)}^{21/2}\,c^6-179840\,a^5\,{\left(-b\right)}^{23/2}\,c^4+94948\,a^6\,{\left(-b\right)}^{21/2}\,c^5-9600\,a^6\,{\left(-b\right)}^{23/2}\,c^3-6636\,a^7\,{\left(-b\right)}^{19/2}\,c^6+63232\,a^7\,{\left(-b\right)}^{21/2}\,c^4-19712\,a^8\,{\left(-b\right)}^{19/2}\,c^5+8704\,a^8\,{\left(-b\right)}^{21/2}\,c^3+210\,a^9\,{\left(-b\right)}^{17/2}\,c^6-896\,a^9\,{\left(-b\right)}^{19/2}\,c^4+115200\,a^2\,{\left(-b\right)}^{27/2}\,c^4-31104\,a^3\,{\left(-b\right)}^{25/2}\,c^5-8750\,a^4\,{\left(-b\right)}^{23/2}\,c^6-211200\,a^4\,{\left(-b\right)}^{25/2}\,c^4-121120\,a^5\,{\left(-b\right)}^{23/2}\,c^5-61440\,a^5\,{\left(-b\right)}^{25/2}\,c^3+28756\,a^6\,{\left(-b\right)}^{21/2}\,c^6-161760\,a^6\,{\left(-b\right)}^{23/2}\,c^4-252\,a^7\,{\left(-b\right)}^{19/2}\,c^7+80416\,a^7\,{\left(-b\right)}^{21/2}\,c^5-3840\,a^7\,{\left(-b\right)}^{23/2}\,c^3-6342\,a^8\,{\left(-b\right)}^{19/2}\,c^6+9344\,a^8\,{\left(-b\right)}^{21/2}\,c^4-4256\,a^9\,{\left(-b\right)}^{19/2}\,c^5+81792\,a^2\,{\left(-b\right)}^{27/2}\,c^5-832\,a^3\,{\left(-b\right)}^{25/2}\,c^6+153600\,a^3\,{\left(-b\right)}^{27/2}\,c^4-23552\,a^4\,{\left(-b\right)}^{25/2}\,c^5-44380\,a^5\,{\left(-b\right)}^{23/2}\,c^6-124800\,a^5\,{\left(-b\right)}^{25/2}\,c^4+2184\,a^6\,{\left(-b\right)}^{21/2}\,c^7-146336\,a^6\,{\left(-b\right)}^{23/2}\,c^5-10240\,a^6\,{\left(-b\right)}^{25/2}\,c^3+40698\,a^7\,{\left(-b\right)}^{21/2}\,c^6-72320\,a^7\,{\left(-b\right)}^{23/2}\,c^4-504\,a^8\,{\left(-b\right)}^{19/2}\,c^7+31808\,a^8\,{\left(-b\right)}^{21/2}\,c^5-2016\,a^9\,{\left(-b\right)}^{19/2}\,c^6-1280\,a^9\,{\left(-b\right)}^{21/2}\,c^4+10944\,a^2\,{\left(-b\right)}^{27/2}\,c^6+184320\,a^3\,{\left(-b\right)}^{27/2}\,c^5+8896\,a^4\,{\left(-b\right)}^{25/2}\,c^6+115200\,a^4\,{\left(-b\right)}^{27/2}\,c^4-5300\,a^5\,{\left(-b\right)}^{23/2}\,c^7+32512\,a^5\,{\left(-b\right)}^{25/2}\,c^5-86702\,a^6\,{\left(-b\right)}^{23/2}\,c^6-36480\,a^6\,{\left(-b\right)}^{25/2}\,c^4+6384\,a^7\,{\left(-b\right)}^{21/2}\,c^7-87968\,a^7\,{\left(-b\right)}^{23/2}\,c^5+25312\,a^8\,{\left(-b\right)}^{21/2}\,c^6-12800\,a^8\,{\left(-b\right)}^{23/2}\,c^4-252\,a^9\,{\left(-b\right)}^{19/2}\,c^7+4480\,a^9\,{\left(-b\right)}^{21/2}\,c^5-46080\,a^2\,{\left(-b\right)}^{29/2}\,c^5+49536\,a^3\,{\left(-b\right)}^{27/2}\,c^6+3016\,a^4\,{\left(-b\right)}^{25/2}\,c^7+218880\,a^4\,{\left(-b\right)}^{27/2}\,c^5+44864\,a^5\,{\left(-b\right)}^{25/2}\,c^6+46080\,a^5\,{\left(-b\right)}^{27/2}\,c^4-21128\,a^6\,{\left(-b\right)}^{23/2}\,c^7+66048\,a^6\,{\left(-b\right)}^{25/2}\,c^5+210\,a^7\,{\left(-b\right)}^{21/2}\,c^8-81536\,a^7\,{\left(-b\right)}^{23/2}\,c^6-3840\,a^7\,{\left(-b\right)}^{25/2}\,c^4+6216\,a^8\,{\left(-b\right)}^{21/2}\,c^7-22912\,a^8\,{\left(-b\right)}^{23/2}\,c^5+5824\,a^9\,{\left(-b\right)}^{21/2}\,c^6-36480\,a^2\,{\left(-b\right)}^{29/2}\,c^6+4224\,a^3\,{\left(-b\right)}^{27/2}\,c^7-61440\,a^3\,{\left(-b\right)}^{29/2}\,c^5+86656\,a^4\,{\left(-b\right)}^{27/2}\,c^6+18896\,a^5\,{\left(-b\right)}^{25/2}\,c^7+144000\,a^5\,{\left(-b\right)}^{27/2}\,c^5-1374\,a^6\,{\left(-b\right)}^{23/2}\,c^8+75200\,a^6\,{\left(-b\right)}^{25/2}\,c^6+7680\,a^6\,{\left(-b\right)}^{27/2}\,c^4-31284\,a^7\,{\left(-b\right)}^{23/2}\,c^7+40576\,a^7\,{\left(-b\right)}^{25/2}\,c^5+420\,a^8\,{\left(-b\right)}^{21/2}\,c^8-36736\,a^8\,{\left(-b\right)}^{23/2}\,c^6+2016\,a^9\,{\left(-b\right)}^{21/2}\,c^7-1280\,a^9\,{\left(-b\right)}^{23/2}\,c^5-5376\,a^2\,{\left(-b\right)}^{29/2}\,c^7-84480\,a^3\,{\left(-b\right)}^{29/2}\,c^6+13888\,a^4\,{\left(-b\right)}^{27/2}\,c^7-46080\,a^4\,{\left(-b\right)}^{29/2}\,c^5+2173\,a^5\,{\left(-b\right)}^{25/2}\,c^8+70144\,a^5\,{\left(-b\right)}^{27/2}\,c^6+42952\,a^6\,{\left(-b\right)}^{25/2}\,c^7+49536\,a^6\,{\left(-b\right)}^{27/2}\,c^5-4092\,a^7\,{\left(-b\right)}^{23/2}\,c^8+57856\,a^7\,{\left(-b\right)}^{25/2}\,c^6-20384\,a^8\,{\left(-b\right)}^{23/2}\,c^7+8704\,a^8\,{\left(-b\right)}^{25/2}\,c^5+210\,a^9\,{\left(-b\right)}^{21/2}\,c^8-6272\,a^9\,{\left(-b\right)}^{23/2}\,c^6+7680\,a^2\,{\left(-b\right)}^{31/2}\,c^6-26496\,a^3\,{\left(-b\right)}^{29/2}\,c^7+301\,a^4\,{\left(-b\right)}^{27/2}\,c^8-103680\,a^4\,{\left(-b\right)}^{29/2}\,c^6+12608\,a^5\,{\left(-b\right)}^{27/2}\,c^7-18432\,a^5\,{\left(-b\right)}^{29/2}\,c^5+9274\,a^6\,{\left(-b\right)}^{25/2}\,c^8+21696\,a^6\,{\left(-b\right)}^{27/2}\,c^6-120\,a^7\,{\left(-b\right)}^{23/2}\,c^9+45760\,a^7\,{\left(-b\right)}^{25/2}\,c^7+6912\,a^7\,{\left(-b\right)}^{27/2}\,c^5-4062\,a^8\,{\left(-b\right)}^{23/2}\,c^8+20096\,a^8\,{\left(-b\right)}^{25/2}\,c^6-4928\,a^9\,{\left(-b\right)}^{23/2}\,c^7+6528\,a^2\,{\left(-b\right)}^{31/2}\,c^7-2448\,a^3\,{\left(-b\right)}^{29/2}\,c^8+10240\,a^3\,{\left(-b\right)}^{31/2}\,c^6-52736\,a^4\,{\left(-b\right)}^{29/2}\,c^7-1558\,a^5\,{\left(-b\right)}^{27/2}\,c^8-71040\,a^5\,{\left(-b\right)}^{29/2}\,c^6+546\,a^6\,{\left(-b\right)}^{25/2}\,c^9-4544\,a^6\,{\left(-b\right)}^{27/2}\,c^7-3072\,a^6\,{\left(-b\right)}^{29/2}\,c^5+14589\,a^7\,{\left(-b\right)}^{25/2}\,c^8-2432\,a^7\,{\left(-b\right)}^{27/2}\,c^6-240\,a^8\,{\left(-b\right)}^{23/2}\,c^9+23168\,a^8\,{\left(-b\right)}^{25/2}\,c^7-1344\,a^9\,{\left(-b\right)}^{23/2}\,c^8+2304\,a^9\,{\left(-b\right)}^{25/2}\,c^6+1008\,a^2\,{\left(-b\right)}^{31/2}\,c^8+15360\,a^3\,{\left(-b\right)}^{31/2}\,c^7-10160\,a^4\,{\left(-b\right)}^{29/2}\,c^8+7680\,a^4\,{\left(-b\right)}^{31/2}\,c^6-384\,a^5\,{\left(-b\right)}^{27/2}\,c^9-53504\,a^5\,{\left(-b\right)}^{29/2}\,c^7-8099\,a^6\,{\left(-b\right)}^{27/2}\,c^8-25728\,a^6\,{\left(-b\right)}^{29/2}\,c^6+1668\,a^7\,{\left(-b\right)}^{25/2}\,c^9-13760\,a^7\,{\left(-b\right)}^{27/2}\,c^7+10048\,a^8\,{\left(-b\right)}^{25/2}\,c^8-2048\,a^8\,{\left(-b\right)}^{27/2}\,c^6-120\,a^9\,{\left(-b\right)}^{23/2}\,c^9+4480\,a^9\,{\left(-b\right)}^{25/2}\,c^7+5184\,a^3\,{\left(-b\right)}^{31/2}\,c^8-570\,a^4\,{\left(-b\right)}^{29/2}\,c^9+19200\,a^4\,{\left(-b\right)}^{31/2}\,c^7-16048\,a^5\,{\left(-b\right)}^{29/2}\,c^8+3072\,a^5\,{\left(-b\right)}^{31/2}\,c^6-1984\,a^6\,{\left(-b\right)}^{27/2}\,c^9-28416\,a^6\,{\left(-b\right)}^{29/2}\,c^7+45\,a^7\,{\left(-b\right)}^{25/2}\,c^{10}-11984\,a^7\,{\left(-b\right)}^{27/2}\,c^8-3840\,a^7\,{\left(-b\right)}^{29/2}\,c^6+1698\,a^8\,{\left(-b\right)}^{25/2}\,c^9-7552\,a^8\,{\left(-b\right)}^{27/2}\,c^7+2560\,a^9\,{\left(-b\right)}^{25/2}\,c^8+480\,a^3\,{\left(-b\right)}^{31/2}\,c^9+10912\,a^4\,{\left(-b\right)}^{31/2}\,c^8-1732\,a^5\,{\left(-b\right)}^{29/2}\,c^9+13440\,a^5\,{\left(-b\right)}^{31/2}\,c^7-119\,a^6\,{\left(-b\right)}^{27/2}\,c^{10}-11408\,a^6\,{\left(-b\right)}^{29/2}\,c^8+512\,a^6\,{\left(-b\right)}^{31/2}\,c^6-3568\,a^7\,{\left(-b\right)}^{27/2}\,c^9-7040\,a^7\,{\left(-b\right)}^{29/2}\,c^7+9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ht)}^{37/4}+256\,a^{13}\,{\left(-b\right)}^{33/4}+1200\,a^{10}\,{\left(-b\right)}^{37/4}+1728\,a^{11}\,{\left(-b\right)}^{37/4}+320\,a^8\,{\left(-b\right)}^{41/4}+768\,a^{12}\,{\left(-b\right)}^{37/4}+1152\,a^9\,{\left(-b\right)}^{41/4}+1344\,a^{10}\,{\left(-b\right)}^{41/4}+512\,a^{11}\,{\left(-b\right)}^{41/4}-144\,a^{13}\,{\left(-b\right)}^{29/4}\,c^2+912\,a^{12}\,{\left(-b\right)}^{33/4}\,c^2+1344\,a^{13}\,{\left(-b\right)}^{33/4}\,c^2+336\,a^{13}\,{\left(-b\right)}^{33/4}\,c^3-432\,a^{11}\,{\left(-b\right)}^{37/4}\,c^2-4032\,a^{12}\,{\left(-b\right)}^{37/4}\,c^2-1680\,a^{12}\,{\left(-b\right)}^{37/4}\,c^3-4032\,a^{13}\,{\left(-b\right)}^{37/4}\,c^2-4624\,a^{10}\,{\left(-b\right)}^{41/4}\,c^2-2688\,a^{13}\,{\left(-b\right)}^{37/4}\,c^3-9408\,a^{11}\,{\left(-b\right)}^{41/4}\,c^2-504\,a^{13}\,{\left(-b\right)}^{37/4}\,c^4-336\,a^{11}\,{\left(-b\right)}^{41/4}\,c^3-1344\,a^{12}\,{\left(-b\right)}^{41/4}\,c^2+3584\,a^9\,{\left(-b\right)}^{45/4}\,c^2+5376\,a^{12}\,{\left(-b\right)}^{41/4}\,c^3+3584\,a^{13}\,{\left(-b\right)}^{41/4}\,c^2+20160\,a^{10}\,{\left(-b\right)}^{45/4}\,c^2+1848\,a^{12}\,{\left(-b\right)}^{41/4}\,c^4+6720\,a^{13}\,{\left(-b\right)}^{41/4}\,c^3+8848\,a^{10}\,{\left(-b\right)}^{45/4}\,c^3+30912\,a^{11}\,{\left(-b\right)}^{45/4}\,c^2+3360\,a^{13}\,{\left(-b\right)}^{41/4}\,c^4+6720\,a^8\,{\left(-b\right)}^{49/4}\,c^2+21504\,a^{11}\,{\left(-b\right)}^{45/4}\,c^3+14336\,a^{12}\,{\left(-b\right)}^{45/4}\,c^2+504\,a^{13}\,{\left(-b\right)}^{41/4}\,c^5+24192\,a^9\,{\left(-b\right)}^{49/4}\,c^2+1848\,a^{11}\,{\left(-b\right)}^{45/4}\,c^4+9408\,a^{12}\,{\left(-b\right)}^{45/4}\,c^3-4032\,a^9\,{\left(-b\right)}^{49/4}\,c^3+28224\,a^{10}\,{\left(-b\right)}^{49/4}\,c^2-3360\,a^{12}\,{\left(-b\right)}^{45/4}\,c^4-3584\,a^{13}\,{\left(-b\right)}^{45/4}\,c^3-26880\,a^{10}\,{\left(-b\right)}^{49/4}\,c^3+10752\,a^{11}\,{\left(-b\right)}^{49/4}\,c^2-1176\,a^{12}\,{\left(-b\right)}^{45/4}\,c^5-6720\,a^{13}\,{\left(-b\right)}^{45/4}\,c^4-10584\,a^{10}\,{\left(-b\right)}^{49/4}\,c^4-44352\,a^{11}\,{\left(-b\right)}^{49/4}\,c^3-2688\,a^{13}\,{\left(-b\right)}^{45/4}\,c^5-11200\,a^8\,{\left(-b\right)}^{53/4}\,c^3-30240\,a^{11}\,{\left(-b\right)}^{49/4}\,c^4-21504\,a^{12}\,{\left(-b\right)}^{49/4}\,c^3-336\,a^{13}\,{\left(-b\right)}^{45/4}\,c^6-40320\,a^9\,{\left(-b\right)}^{53/4}\,c^3-2520\,a^{11}\,{\left(-b\right)}^{49/4}\,c^5-20160\,a^{12}\,{\left(-b\right)}^{49/4}\,c^4+1120\,a^9\,{\left(-b\right)}^{53/4}\,c^4-47040\,a^{10}\,{\left(-b\right)}^{53/4}\,c^3+16800\,a^{10}\,{\left(-b\right)}^{53/4}\,c^4-17920\,a^{11}\,{\left(-b\right)}^{53/4}\,c^3+336\,a^{12}\,{\left(-b\right)}^{49/4}\,c^6+4032\,a^{13}\,{\left(-b\right)}^{49/4}\,c^5+8120\,a^{10}\,{\left(-b\right)}^{53/4}\,c^5+33600\,a^{11}\,{\left(-b\right)}^{53/4}\,c^4+1344\,a^{13}\,{\left(-b\right)}^{49/4}\,c^6+11200\,a^8\,{\left(-b\right)}^{57/4}\,c^4+26880\,a^{11}\,{\left(-b\right)}^{53/4}\,c^5+17920\,a^{12}\,{\left(-b\right)}^{53/4}\,c^4+144\,a^{13}\,{\left(-b\right)}^{49/4}\,c^7+40320\,a^9\,{\left(-b\right)}^{57/4}\,c^4+1680\,a^{11}\,{\left(-b\right)}^{53/4}\,c^6+22848\,a^{12}\,{\left(-b\right)}^{53/4}\,c^5+2240\,a^9\,{\left(-b\right)}^{57/4}\,c^5+47040\,a^{10}\,{\left(-b\right)}^{57/4}\,c^4+1344\,a^{12}\,{\left(-b\right)}^{53/4}\,c^6+3584\,a^{13}\,{\left(-b\right)}^{53/4}\,c^5+17920\,a^{11}\,{\left(-b\right)}^{57/4}\,c^4+48\,a^{12}\,{\left(-b\right)}^{53/4}\,c^7-1344\,a^{13}\,{\left(-b\right)}^{53/4}\,c^6-3920\,a^{10}\,{\left(-b\right)}^{57/4}\,c^6-9408\,a^{11}\,{\left(-b\right)}^{57/4}\,c^5-384\,a^{13}\,{\left(-b\right)}^{53/4}\,c^7-6720\,a^8\,{\left(-b\right)}^{61/4}\,c^5-14784\,a^{11}\,{\left(-b\right)}^{57/4}\,c^6-7168\,a^{12}\,{\left(-b\right)}^{57/4}\,c^5-36\,a^{13}\,{\left(-b\right)}^{53/4}\,c^8-24192\,a^9\,{\left(-b\right)}^{61/4}\,c^5-528\,a^{11}\,{\left(-b\right)}^{57/4}\,c^7-14784\,a^{12}\,{\left(-b\right)}^{57/4}\,c^6-2688\,a^9\,{\left(-b\right)}^{61/4}\,c^6-28224\,a^{10}\,{\left(-b\right)}^{61/4}\,c^5-768\,a^{12}\,{\left(-b\right)}^{57/4}\,c^7-3584\,a^{13}\,{\left(-b\right)}^{57/4}\,c^6-6720\,a^{10}\,{\left(-b\right)}^{61/4}\,c^6-10752\,a^{11}\,{\left(-b\right)}^{61/4}\,c^5-60\,a^{12}\,{\left(-b\right)}^{57/4}\,c^8+192\,a^{13}\,{\left(-b\right)}^{57/4}\,c^7+1104\,a^{10}\,{\left(-b\right)}^{61/4}\,c^7-4032\,a^{11}\,{\left(-b\right)}^{61/4}\,c^6+48\,a^{13}\,{\left(-b\right)}^{57/4}\,c^8+2240\,a^8\,{\left(-b\right)}^{65/4}\,c^6+4608\,a^{11}\,{\left(-b\right)}^{61/4}\,c^7+4\,a^{13}\,{\left(-b\right)}^{57/4}\,c^9+8064\,a^9\,{\left(-b\right)}^{65/4}\,c^6+36\,a^{11}\,{\left(-b\right)}^{61/4}\,c^8+5184\,a^{12}\,{\left(-b\right)}^{61/4}\,c^7+1216\,a^9\,{\left(-b\right)}^{65/4}\,c^7+9408\,a^{10}\,{\left(-b\right)}^{65/4}\,c^6+144\,a^{12}\,{\left(-b\right)}^{61/4}\,c^8+1536\,a^{13}\,{\left(-b\right)}^{61/4}\,c^7+3840\,a^{10}\,{\left(-b\right)}^{65/4}\,c^7+3584\,a^{11}\,{\left(-b\right)}^{65/4}\,c^6+12\,a^{12}\,{\left(-b\right)}^{61/4}\,c^9-148\,a^{10}\,{\left(-b\right)}^{65/4}\,c^8+3648\,a^{11}\,{\left(-b\right)}^{65/4}\,c^7-320\,a^8\,{\left(-b\right)}^{69/4}\,c^7-624\,a^{11}\,{\left(-b\right)}^{65/4}\,c^8+1024\,a^{12}\,{\left(-b\right)}^{65/4}\,c^7-1152\,a^9\,{\left(-b\right)}^{69/4}\,c^7+12\,a^{11}\,{\left(-b\right)}^{65/4}\,c^9-768\,a^{12}\,{\left(-b\right)}^{65/4}\,c^8-208\,a^9\,{\left(-b\right)}^{69/4}\,c^8-1344\,a^{10}\,{\left(-b\right)}^{69/4}\,c^7-256\,a^{13}\,{\left(-b\right)}^{65/4}\,c^8-720\,a^{10}\,{\left(-b\right)}^{69/4}\,c^8-512\,a^{11}\,{\left(-b\right)}^{69/4}\,c^7+4\,a^{10}\,{\left(-b\right)}^{69/4}\,c^9-768\,a^{11}\,{\left(-b\right)}^{69/4}\,c^8-256\,a^{12}\,{\left(-b\right)}^{69/4}\,c^8+36\,a^{13}\,{\left(-b\right)}^{25/4}\,c-276\,a^{12}\,{\left(-b\right)}^{29/4}\,c-384\,a^{13}\,{\left(-b\right)}^{29/4}\,c+300\,a^{11}\,{\left(-b\right)}^{33/4}\,c+1536\,a^{12}\,{\left(-b\right)}^{33/4}\,c+1344\,a^{13}\,{\left(-b\right)}^{33/4}\,c+1380\,a^{10}\,{\left(-b\right)}^{37/4}\,c+2304\,a^{11}\,{\left(-b\right)}^{37/4}\,c-576\,a^{12}\,{\left(-b\right)}^{37/4}\,c-1472\,a^9\,{\left(-b\right)}^{41/4}\,c-1536\,a^{13}\,{\left(-b\right)}^{37/4}\,c-7680\,a^{10}\,{\left(-b\right)}^{41/4}\,c-11328\,a^{11}\,{\left(-b\right)}^{41/4}\,c-2240\,a^8\,{\left(-b\right)}^{45/4}\,c-5120\,a^{12}\,{\left(-b\right)}^{41/4}\,c-8064\,a^9\,{\left(-b\right)}^{45/4}\,c-9408\,a^{10}\,{\left(-b\right)}^{45/4}\,c-3584\,a^{11}\,{\left(-b\right)}^{45/4}\,c\right)}{a^{16}\,b^{18}\,c^9+9\,a^{15}\,b^{18}\,c^8+36\,a^{14}\,b^{18}\,c^7+84\,a^{13}\,b^{18}\,c^6+126\,a^{12}\,b^{18}\,c^5+126\,a^{11}\,b^{18}\,c^4+84\,a^{10}\,b^{18}\,c^3+36\,a^9\,b^{18}\,c^2+9\,a^8\,b^{18}\,c+a^7\,b^{18}}+\frac{64\,{\left(-\frac{b\,x-1}{c+x}\right)}^{1/4}\,\left(b\,\left({\left(-b\right)}^{3/4}+a\,\left({\left(-b\right)}^{3/4}+\frac{{\left(-b\right)}^{3/4}\,c}{4}\right)\right)+\frac{a\,{\left(-b\right)}^{3/4}}{4}\right)\,\left(16\,a^{13}\,{\left(-b\right)}^{11/2}-80\,a^{12}\,{\left(-b\right)}^{13/2}-80\,a^{11}\,{\left(-b\right)}^{15/2}-128\,a^{13}\,{\left(-b\right)}^{13/2}+400\,a^{10}\,{\left(-b\right)}^{17/2}+128\,a^{12}\,{\left(-b\right)}^{15/2}+896\,a^9\,{\left(-b\right)}^{19/2}+1152\,a^{11}\,{\left(-b\right)}^{17/2}+256\,a^{13}\,{\left(-b\right)}^{15/2}+512\,a^8\,{\left(-b\right)}^{21/2}+1920\,a^{10}\,{\left(-b\right)}^{19/2}+768\,a^{12}\,{\left(-b\right)}^{17/2}+1024\,a^9\,{\left(-b\right)}^{21/2}+1024\,a^{11}\,{\left(-b\right)}^{19/2}+512\,a^{10}\,{\left(-b\right)}^{21/2}+448\,a^{13}\,{\left(-b\right)}^{15/2}\,c^2-1344\,a^{12}\,{\left(-b\right)}^{17/2}\,c^2-2624\,a^{11}\,{\left(-b\right)}^{19/2}\,c^2-2688\,a^{13}\,{\left(-b\right)}^{17/2}\,c^2+1088\,a^{10}\,{\left(-b\right)}^{21/2}\,c^2+128\,a^{12}\,{\left(-b\right)}^{19/2}\,c^2-896\,a^{13}\,{\left(-b\right)}^{17/2}\,c^3+9600\,a^9\,{\left(-b\right)}^{23/2}\,c^2+9344\,a^{11}\,{\left(-b\right)}^{21/2}\,c^2+1792\,a^{12}\,{\left(-b\right)}^{19/2}\,c^3+4096\,a^{13}\,{\left(-b\right)}^{19/2}\,c^2+7680\,a^8\,{\left(-b\right)}^{25/2}\,c^2+21888\,a^{10}\,{\left(-b\right)}^{23/2}\,c^2+4096\,a^{11}\,{\left(-b\right)}^{21/2}\,c^3+8704\,a^{12}\,{\left(-b\right)}^{21/2}\,c^2+4480\,a^{13}\,{\left(-b\right)}^{19/2}\,c^3+15360\,a^9\,{\left(-b\right)}^{25/2}\,c^2+3328\,a^{10}\,{\left(-b\right)}^{23/2}\,c^3+12288\,a^{11}\,{\left(-b\right)}^{23/2}\,c^2+128\,a^{12}\,{\left(-b\right)}^{21/2}\,c^3+1120\,a^{13}\,{\left(-b\right)}^{19/2}\,c^4-8320\,a^9\,{\left(-b\right)}^{25/2}\,c^3+7680\,a^{10}\,{\left(-b\right)}^{25/2}\,c^2-4992\,a^{11}\,{\left(-b\right)}^{23/2}\,c^3-1120\,a^{12}\,{\left(-b\right)}^{21/2}\,c^4-6656\,a^{13}\,{\left(-b\right)}^{21/2}\,c^3-10240\,a^8\,{\left(-b\right)}^{27/2}\,c^3-21120\,a^{10}\,{\left(-b\right)}^{25/2}\,c^3-2400\,a^{11}\,{\left(-b\right)}^{23/2}\,c^4-9216\,a^{12}\,{\left(-b\right)}^{23/2}\,c^3-4480\,a^{13}\,{\left(-b\right)}^{21/2}\,c^4-20480\,a^9\,{\left(-b\right)}^{27/2}\,c^3-7200\,a^{10}\,{\left(-b\right)}^{25/2}\,c^4-12800\,a^{11}\,{\left(-b\right)}^{25/2}\,c^3+1920\,a^{12}\,{\left(-b\right)}^{23/2}\,c^4-896\,a^{13}\,{\left(-b\right)}^{21/2}\,c^5+640\,a^9\,{\left(-b\right)}^{27/2}\,c^4-10240\,a^{10}\,{\left(-b\right)}^{27/2}\,c^3-3200\,a^{11}\,{\left(-b\right)}^{25/2}\,c^4+7680\,a^{13}\,{\left(-b\right)}^{23/2}\,c^4+7680\,a^8\,{\left(-b\right)}^{29/2}\,c^4+5760\,a^{10}\,{\left(-b\right)}^{27/2}\,c^4-1280\,a^{11}\,{\left(-b\right)}^{25/2}\,c^5+5120\,a^{12}\,{\left(-b\right)}^{25/2}\,c^4+2688\,a^{13}\,{\left(-b\right)}^{23/2}\,c^5+15360\,a^9\,{\left(-b\right)}^{29/2}\,c^4+5120\,a^{10}\,{\left(-b\right)}^{27/2}\,c^5+5120\,a^{11}\,{\left(-b\right)}^{27/2}\,c^4-5248\,a^{12}\,{\left(-b\right)}^{25/2}\,c^5+448\,a^{13}\,{\left(-b\right)}^{23/2}\,c^6+4224\,a^9\,{\left(-b\right)}^{29/2}\,c^5+7680\,a^{10}\,{\left(-b\right)}^{29/2}\,c^4+3968\,a^{11}\,{\left(-b\right)}^{27/2}\,c^5+448\,a^{12}\,{\left(-b\right)}^{25/2}\,c^6-6656\,a^{13}\,{\left(-b\right)}^{25/2}\,c^5-3072\,a^8\,{\left(-b\right)}^{31/2}\,c^5+5760\,a^{10}\,{\left(-b\right)}^{29/2}\,c^5+2752\,a^{11}\,{\left(-b\right)}^{27/2}\,c^6-2048\,a^{12}\,{\left(-b\right)}^{27/2}\,c^5-896\,a^{13}\,{\left(-b\right)}^{25/2}\,c^6-6144\,a^9\,{\left(-b\right)}^{31/2}\,c^5-704\,a^{10}\,{\left(-b\right)}^{29/2}\,c^6+1536\,a^{11}\,{\left(-b\right)}^{29/2}\,c^5+5504\,a^{12}\,{\left(-b\right)}^{27/2}\,c^6-128\,a^{13}\,{\left(-b\right)}^{25/2}\,c^7-2944\,a^9\,{\left(-b\right)}^{31/2}\,c^6-3072\,a^{10}\,{\left(-b\right)}^{31/2}\,c^5+384\,a^{11}\,{\left(-b\right)}^{29/2}\,c^6-256\,a^{12}\,{\left(-b\right)}^{27/2}\,c^7+4096\,a^{13}\,{\left(-b\right)}^{27/2}\,c^6+512\,a^8\,{\left(-b\right)}^{33/2}\,c^6-4992\,a^{10}\,{\left(-b\right)}^{31/2}\,c^6-1536\,a^{11}\,{\left(-b\right)}^{29/2}\,c^7+1536\,a^{12}\,{\left(-b\right)}^{29/2}\,c^6+128\,a^{13}\,{\left(-b\right)}^{27/2}\,c^7+1024\,a^9\,{\left(-b\right)}^{33/2}\,c^6-768\,a^{10}\,{\left(-b\right)}^{31/2}\,c^7-2048\,a^{11}\,{\left(-b\right)}^{31/2}\,c^6-2688\,a^{12}\,{\left(-b\right)}^{29/2}\,c^7+16\,a^{13}\,{\left(-b\right)}^{27/2}\,c^8+640\,a^9\,{\left(-b\right)}^{33/2}\,c^7+512\,a^{10}\,{\left(-b\right)}^{33/2}\,c^6-1664\,a^{11}\,{\left(-b\right)}^{31/2}\,c^7+48\,a^{12}\,{\left(-b\right)}^{29/2}\,c^8-1536\,a^{13}\,{\left(-b\right)}^{29/2}\,c^7+1152\,a^{10}\,{\left(-b\right)}^{33/2}\,c^7+304\,a^{11}\,{\left(-b\right)}^{31/2}\,c^8-1024\,a^{12}\,{\left(-b\right)}^{31/2}\,c^7+272\,a^{10}\,{\left(-b\right)}^{33/2}\,c^8+512\,a^{11}\,{\left(-b\right)}^{33/2}\,c^7+512\,a^{12}\,{\left(-b\right)}^{31/2}\,c^8+512\,a^{11}\,{\left(-b\right)}^{33/2}\,c^8+256\,a^{13}\,{\left(-b\right)}^{31/2}\,c^8+256\,a^{12}\,{\left(-b\right)}^{33/2}\,c^8-128\,a^{13}\,{\left(-b\right)}^{13/2}\,c+512\,a^{12}\,{\left(-b\right)}^{15/2}\,c+768\,a^{11}\,{\left(-b\right)}^{17/2}\,c+896\,a^{13}\,{\left(-b\right)}^{15/2}\,c-1536\,a^{10}\,{\left(-b\right)}^{19/2}\,c-384\,a^{12}\,{\left(-b\right)}^{17/2}\,c-4736\,a^9\,{\left(-b\right)}^{21/2}\,c-5504\,a^{11}\,{\left(-b\right)}^{19/2}\,c-1536\,a^{13}\,{\left(-b\right)}^{17/2}\,c-3072\,a^8\,{\left(-b\right)}^{23/2}\,c-10368\,a^{10}\,{\left(-b\right)}^{21/2}\,c-4096\,a^{12}\,{\left(-b\right)}^{19/2}\,c-6144\,a^9\,{\left(-b\right)}^{23/2}\,c-5632\,a^{11}\,{\left(-b\right)}^{21/2}\,c-3072\,a^{10}\,{\left(-b\right)}^{23/2}\,c\right)}{a^2\,{\left(-b\right)}^{9/4}\,\left(a^{15}\,b^{17}\,c^9+9\,a^{14}\,b^{17}\,c^8+36\,a^{13}\,b^{17}\,c^7+84\,a^{12}\,b^{17}\,c^6+126\,a^{11}\,b^{17}\,c^5+126\,a^{10}\,b^{17}\,c^4+84\,a^9\,b^{17}\,c^3+36\,a^8\,b^{17}\,c^2+9\,a^7\,b^{17}\,c+a^6\,b^{17}\right)}\right)\,{\left(b\,\left({\left(-b\right)}^{3/4}+a\,\left({\left(-b\right)}^{3/4}+\frac{{\left(-b\right)}^{3/4}\,c}{4}\right)\right)+\frac{a\,{\left(-b\right)}^{3/4}}{4}\right)}^3}{a^6\,b^6}\right)}{a^2\,b^2}}\right)\,\left(b\,\left({\left(-b\right)}^{3/4}+a\,\left({\left(-b\right)}^{3/4}+\frac{{\left(-b\right)}^{3/4}\,c}{4}\right)\right)+\frac{a\,{\left(-b\right)}^{3/4}}{4}\right)\,2{}\mathrm{i}}{a^2\,b^2}-\frac{\left(b\,c+1\right)\,{\left(-\frac{b\,x-1}{c+x}\right)}^{3/4}}{a\,b^2\,\left(\frac{b\,x-1}{b\,\left(c+x\right)}-1\right)}","Not used",1,"log((((256*a*(a - b)*(b*c + 1)^7*(10*a^3*b - 20*a*b^3 - 288*a*b^4 + 12*a^4*b + a^4 - 80*b^4 + 25*a^2*b^2 + 12*a^2*b^3 + 72*a^3*b^2 - 336*a^2*b^4 + 96*a^3*b^3 + 48*a^4*b^2 - 128*a^3*b^4 + 64*a^4*b^3 - 22*a^2*b^3*c + 8*a^3*b^2*c - 180*a^2*b^4*c - 24*a^3*b^3*c + 12*a^4*b^2*c - 192*a^3*b^4*c - 64*a^4*b^4*c + a^2*b^4*c^2 - 2*a^3*b^3*c^2 + a^4*b^2*c^2 - 52*a*b^4*c + 2*a^4*b*c))/((-b)^(51/4)*(a*c + 1)^9) + (1024*a^2*(a - b)*(b*c + 1)^6*(-(b*x - 1)/(c + x))^(1/4)*(((a*c + 1)*(a + 1)^4)/(a^8*(a - b)))^(1/4)*(6*a^3*b - 24*a*b^3 + 64*a*b^4 + 8*a^4*b + a^4 + 32*b^4 + a^2*b^2 - 56*a^2*b^3 + 16*a^3*b^2 + 32*a^2*b^4 - 32*a^3*b^3 + 16*a^4*b^2 - 14*a^2*b^3*c + 4*a^3*b^2*c + 72*a^2*b^4*c - 16*a^3*b^3*c + 8*a^4*b^2*c + 32*a^3*b^4*c + 17*a^2*b^4*c^2 - 2*a^3*b^3*c^2 + a^4*b^2*c^2 + 32*a^3*b^4*c^2 + 16*a^4*b^4*c^2 + 40*a*b^4*c + 2*a^4*b*c))/((-b)^(47/4)*(a*c + 1)^9))*(((a*c + 1)*(a + 1)^4)/(a^8*(a - b)))^(3/4) - (64*(a - b)*(b*c + 1)^6*(-(b*x - 1)/(c + x))^(1/4)*(a + 1)^2*(a + 4*b + 4*a*b + a*b*c)^2*(64*a*b^2 - 8*a*b - 24*a^2*b - 16*a^3*b + a^3*c + a^2 + 32*b^2 + 32*a^2*b^2 + 40*a^2*b^2*c + 2*a^3*b*c^2 + 16*a^3*b^2*c + 9*a^2*b^2*c^2 + 8*a^3*b^2*c^2 + a^3*b^2*c^3 + 24*a*b^2*c + 10*a^2*b*c + 8*a^3*b*c))/(a^6*(-b)^(51/4)*(a*c + 1)^8))*(((a*c + 1)*(a + 1)^4)/(a^8*(a - b)))^(1/4) - (64*(a - b)*(b*c + 1)^7*(a + 1)^3*(4*a + a*c + 5)*(a + 4*b + 4*a*b + a*b*c)^3)/(a^7*(-b)^(51/4)*(a*c + 1)^8))*(-(a^2*(4*b^3*c + 6*b^3) + a^3*(6*b^3*c + 4*b^3) + b^3 + a*(b^3*c + 4*b^3) + a^4*(4*b^3*c + b^3) + a^5*b^3*c)/(a^8*b^4 - a^9*b^3))^(1/4) - log((((256*a*(a - b)*(b*c + 1)^7*(10*a^3*b - 20*a*b^3 - 288*a*b^4 + 12*a^4*b + a^4 - 80*b^4 + 25*a^2*b^2 + 12*a^2*b^3 + 72*a^3*b^2 - 336*a^2*b^4 + 96*a^3*b^3 + 48*a^4*b^2 - 128*a^3*b^4 + 64*a^4*b^3 - 22*a^2*b^3*c + 8*a^3*b^2*c - 180*a^2*b^4*c - 24*a^3*b^3*c + 12*a^4*b^2*c - 192*a^3*b^4*c - 64*a^4*b^4*c + a^2*b^4*c^2 - 2*a^3*b^3*c^2 + a^4*b^2*c^2 - 52*a*b^4*c + 2*a^4*b*c))/((-b)^(51/4)*(a*c + 1)^9) - (1024*a^2*(a - b)*(b*c + 1)^6*(-(b*x - 1)/(c + x))^(1/4)*(((a*c + 1)*(a + 1)^4)/(a^8*(a - b)))^(1/4)*(6*a^3*b - 24*a*b^3 + 64*a*b^4 + 8*a^4*b + a^4 + 32*b^4 + a^2*b^2 - 56*a^2*b^3 + 16*a^3*b^2 + 32*a^2*b^4 - 32*a^3*b^3 + 16*a^4*b^2 - 14*a^2*b^3*c + 4*a^3*b^2*c + 72*a^2*b^4*c - 16*a^3*b^3*c + 8*a^4*b^2*c + 32*a^3*b^4*c + 17*a^2*b^4*c^2 - 2*a^3*b^3*c^2 + a^4*b^2*c^2 + 32*a^3*b^4*c^2 + 16*a^4*b^4*c^2 + 40*a*b^4*c + 2*a^4*b*c))/((-b)^(47/4)*(a*c + 1)^9))*(((a*c + 1)*(a + 1)^4)/(a^8*(a - b)))^(3/4) + (64*(a - b)*(b*c + 1)^6*(-(b*x - 1)/(c + x))^(1/4)*(a + 1)^2*(a + 4*b + 4*a*b + a*b*c)^2*(64*a*b^2 - 8*a*b - 24*a^2*b - 16*a^3*b + a^3*c + a^2 + 32*b^2 + 32*a^2*b^2 + 40*a^2*b^2*c + 2*a^3*b*c^2 + 16*a^3*b^2*c + 9*a^2*b^2*c^2 + 8*a^3*b^2*c^2 + a^3*b^2*c^3 + 24*a*b^2*c + 10*a^2*b*c + 8*a^3*b*c))/(a^6*(-b)^(51/4)*(a*c + 1)^8))*(((a*c + 1)*(a + 1)^4)/(a^8*(a - b)))^(1/4) - (64*(a - b)*(b*c + 1)^7*(a + 1)^3*(4*a + a*c + 5)*(a + 4*b + 4*a*b + a*b*c)^3)/(a^7*(-b)^(51/4)*(a*c + 1)^8))*(-(4*a*b^3 + b^3 + 6*a^2*b^3 + 4*a^3*b^3 + a^4*b^3 + 4*a^2*b^3*c + 6*a^3*b^3*c + 4*a^4*b^3*c + a^5*b^3*c + a*b^3*c)/(a^8*b^4 - a^9*b^3))^(1/4) + 2*atan(((-(4*a*b^3 + b^3 + 6*a^2*b^3 + 4*a^3*b^3 + a^4*b^3 + 4*a^2*b^3*c + 6*a^3*b^3*c + 4*a^4*b^3*c + a^5*b^3*c + a*b^3*c)/(a^8*b^4 - a^9*b^3))^(1/4)*((-(4*a*b^3 + b^3 + 6*a^2*b^3 + 4*a^3*b^3 + a^4*b^3 + 4*a^2*b^3*c + 6*a^3*b^3*c + 4*a^4*b^3*c + a^5*b^3*c + a*b^3*c)/(a^8*b^4 - a^9*b^3))^(3/4)*((64*(36*a^12*(-b)^(25/4) - 4*a^13*(-b)^(21/4) + 48*a^13*(-b)^(25/4) - 60*a^11*(-b)^(29/4) - 240*a^12*(-b)^(29/4) - 192*a^13*(-b)^(29/4) - 180*a^10*(-b)^(33/4) - 240*a^11*(-b)^(33/4) + 192*a^12*(-b)^(33/4) + 240*a^9*(-b)^(37/4) + 256*a^13*(-b)^(33/4) + 1200*a^10*(-b)^(37/4) + 1728*a^11*(-b)^(37/4) + 320*a^8*(-b)^(41/4) + 768*a^12*(-b)^(37/4) + 1152*a^9*(-b)^(41/4) + 1344*a^10*(-b)^(41/4) + 512*a^11*(-b)^(41/4) - 144*a^13*(-b)^(29/4)*c^2 + 912*a^12*(-b)^(33/4)*c^2 + 1344*a^13*(-b)^(33/4)*c^2 + 336*a^13*(-b)^(33/4)*c^3 - 432*a^11*(-b)^(37/4)*c^2 - 4032*a^12*(-b)^(37/4)*c^2 - 1680*a^12*(-b)^(37/4)*c^3 - 4032*a^13*(-b)^(37/4)*c^2 - 4624*a^10*(-b)^(41/4)*c^2 - 2688*a^13*(-b)^(37/4)*c^3 - 9408*a^11*(-b)^(41/4)*c^2 - 504*a^13*(-b)^(37/4)*c^4 - 336*a^11*(-b)^(41/4)*c^3 - 1344*a^12*(-b)^(41/4)*c^2 + 3584*a^9*(-b)^(45/4)*c^2 + 5376*a^12*(-b)^(41/4)*c^3 + 3584*a^13*(-b)^(41/4)*c^2 + 20160*a^10*(-b)^(45/4)*c^2 + 1848*a^12*(-b)^(41/4)*c^4 + 6720*a^13*(-b)^(41/4)*c^3 + 8848*a^10*(-b)^(45/4)*c^3 + 30912*a^11*(-b)^(45/4)*c^2 + 3360*a^13*(-b)^(41/4)*c^4 + 6720*a^8*(-b)^(49/4)*c^2 + 21504*a^11*(-b)^(45/4)*c^3 + 14336*a^12*(-b)^(45/4)*c^2 + 504*a^13*(-b)^(41/4)*c^5 + 24192*a^9*(-b)^(49/4)*c^2 + 1848*a^11*(-b)^(45/4)*c^4 + 9408*a^12*(-b)^(45/4)*c^3 - 4032*a^9*(-b)^(49/4)*c^3 + 28224*a^10*(-b)^(49/4)*c^2 - 3360*a^12*(-b)^(45/4)*c^4 - 3584*a^13*(-b)^(45/4)*c^3 - 26880*a^10*(-b)^(49/4)*c^3 + 10752*a^11*(-b)^(49/4)*c^2 - 1176*a^12*(-b)^(45/4)*c^5 - 6720*a^13*(-b)^(45/4)*c^4 - 10584*a^10*(-b)^(49/4)*c^4 - 44352*a^11*(-b)^(49/4)*c^3 - 2688*a^13*(-b)^(45/4)*c^5 - 11200*a^8*(-b)^(53/4)*c^3 - 30240*a^11*(-b)^(49/4)*c^4 - 21504*a^12*(-b)^(49/4)*c^3 - 336*a^13*(-b)^(45/4)*c^6 - 40320*a^9*(-b)^(53/4)*c^3 - 2520*a^11*(-b)^(49/4)*c^5 - 20160*a^12*(-b)^(49/4)*c^4 + 1120*a^9*(-b)^(53/4)*c^4 - 47040*a^10*(-b)^(53/4)*c^3 + 16800*a^10*(-b)^(53/4)*c^4 - 17920*a^11*(-b)^(53/4)*c^3 + 336*a^12*(-b)^(49/4)*c^6 + 4032*a^13*(-b)^(49/4)*c^5 + 8120*a^10*(-b)^(53/4)*c^5 + 33600*a^11*(-b)^(53/4)*c^4 + 1344*a^13*(-b)^(49/4)*c^6 + 11200*a^8*(-b)^(57/4)*c^4 + 26880*a^11*(-b)^(53/4)*c^5 + 17920*a^12*(-b)^(53/4)*c^4 + 144*a^13*(-b)^(49/4)*c^7 + 40320*a^9*(-b)^(57/4)*c^4 + 1680*a^11*(-b)^(53/4)*c^6 + 22848*a^12*(-b)^(53/4)*c^5 + 2240*a^9*(-b)^(57/4)*c^5 + 47040*a^10*(-b)^(57/4)*c^4 + 1344*a^12*(-b)^(53/4)*c^6 + 3584*a^13*(-b)^(53/4)*c^5 + 17920*a^11*(-b)^(57/4)*c^4 + 48*a^12*(-b)^(53/4)*c^7 - 1344*a^13*(-b)^(53/4)*c^6 - 3920*a^10*(-b)^(57/4)*c^6 - 9408*a^11*(-b)^(57/4)*c^5 - 384*a^13*(-b)^(53/4)*c^7 - 6720*a^8*(-b)^(61/4)*c^5 - 14784*a^11*(-b)^(57/4)*c^6 - 7168*a^12*(-b)^(57/4)*c^5 - 36*a^13*(-b)^(53/4)*c^8 - 24192*a^9*(-b)^(61/4)*c^5 - 528*a^11*(-b)^(57/4)*c^7 - 14784*a^12*(-b)^(57/4)*c^6 - 2688*a^9*(-b)^(61/4)*c^6 - 28224*a^10*(-b)^(61/4)*c^5 - 768*a^12*(-b)^(57/4)*c^7 - 3584*a^13*(-b)^(57/4)*c^6 - 6720*a^10*(-b)^(61/4)*c^6 - 10752*a^11*(-b)^(61/4)*c^5 - 60*a^12*(-b)^(57/4)*c^8 + 192*a^13*(-b)^(57/4)*c^7 + 1104*a^10*(-b)^(61/4)*c^7 - 4032*a^11*(-b)^(61/4)*c^6 + 48*a^13*(-b)^(57/4)*c^8 + 2240*a^8*(-b)^(65/4)*c^6 + 4608*a^11*(-b)^(61/4)*c^7 + 4*a^13*(-b)^(57/4)*c^9 + 8064*a^9*(-b)^(65/4)*c^6 + 36*a^11*(-b)^(61/4)*c^8 + 5184*a^12*(-b)^(61/4)*c^7 + 1216*a^9*(-b)^(65/4)*c^7 + 9408*a^10*(-b)^(65/4)*c^6 + 144*a^12*(-b)^(61/4)*c^8 + 1536*a^13*(-b)^(61/4)*c^7 + 3840*a^10*(-b)^(65/4)*c^7 + 3584*a^11*(-b)^(65/4)*c^6 + 12*a^12*(-b)^(61/4)*c^9 - 148*a^10*(-b)^(65/4)*c^8 + 3648*a^11*(-b)^(65/4)*c^7 - 320*a^8*(-b)^(69/4)*c^7 - 624*a^11*(-b)^(65/4)*c^8 + 1024*a^12*(-b)^(65/4)*c^7 - 1152*a^9*(-b)^(69/4)*c^7 + 12*a^11*(-b)^(65/4)*c^9 - 768*a^12*(-b)^(65/4)*c^8 - 208*a^9*(-b)^(69/4)*c^8 - 1344*a^10*(-b)^(69/4)*c^7 - 256*a^13*(-b)^(65/4)*c^8 - 720*a^10*(-b)^(69/4)*c^8 - 512*a^11*(-b)^(69/4)*c^7 + 4*a^10*(-b)^(69/4)*c^9 - 768*a^11*(-b)^(69/4)*c^8 - 256*a^12*(-b)^(69/4)*c^8 + 36*a^13*(-b)^(25/4)*c - 276*a^12*(-b)^(29/4)*c - 384*a^13*(-b)^(29/4)*c + 300*a^11*(-b)^(33/4)*c + 1536*a^12*(-b)^(33/4)*c + 1344*a^13*(-b)^(33/4)*c + 1380*a^10*(-b)^(37/4)*c + 2304*a^11*(-b)^(37/4)*c - 576*a^12*(-b)^(37/4)*c - 1472*a^9*(-b)^(41/4)*c - 1536*a^13*(-b)^(37/4)*c - 7680*a^10*(-b)^(41/4)*c - 11328*a^11*(-b)^(41/4)*c - 2240*a^8*(-b)^(45/4)*c - 5120*a^12*(-b)^(41/4)*c - 8064*a^9*(-b)^(45/4)*c - 9408*a^10*(-b)^(45/4)*c - 3584*a^11*(-b)^(45/4)*c))/(a^7*b^18 + 9*a^8*b^18*c + 36*a^9*b^18*c^2 + 84*a^10*b^18*c^3 + 126*a^11*b^18*c^4 + 126*a^12*b^18*c^5 + 84*a^13*b^18*c^6 + 36*a^14*b^18*c^7 + 9*a^15*b^18*c^8 + a^16*b^18*c^9) - ((-(4*a*b^3 + b^3 + 6*a^2*b^3 + 4*a^3*b^3 + a^4*b^3 + 4*a^2*b^3*c + 6*a^3*b^3*c + 4*a^4*b^3*c + a^5*b^3*c + a*b^3*c)/(a^8*b^4 - a^9*b^3))^(1/4)*(-(b*x - 1)/(c + x))^(1/4)*(16*a^13*(-b)^(11/2) - 80*a^12*(-b)^(13/2) - 80*a^11*(-b)^(15/2) - 128*a^13*(-b)^(13/2) + 400*a^10*(-b)^(17/2) + 128*a^12*(-b)^(15/2) + 896*a^9*(-b)^(19/2) + 1152*a^11*(-b)^(17/2) + 256*a^13*(-b)^(15/2) + 512*a^8*(-b)^(21/2) + 1920*a^10*(-b)^(19/2) + 768*a^12*(-b)^(17/2) + 1024*a^9*(-b)^(21/2) + 1024*a^11*(-b)^(19/2) + 512*a^10*(-b)^(21/2) + 448*a^13*(-b)^(15/2)*c^2 - 1344*a^12*(-b)^(17/2)*c^2 - 2624*a^11*(-b)^(19/2)*c^2 - 2688*a^13*(-b)^(17/2)*c^2 + 1088*a^10*(-b)^(21/2)*c^2 + 128*a^12*(-b)^(19/2)*c^2 - 896*a^13*(-b)^(17/2)*c^3 + 9600*a^9*(-b)^(23/2)*c^2 + 9344*a^11*(-b)^(21/2)*c^2 + 1792*a^12*(-b)^(19/2)*c^3 + 4096*a^13*(-b)^(19/2)*c^2 + 7680*a^8*(-b)^(25/2)*c^2 + 21888*a^10*(-b)^(23/2)*c^2 + 4096*a^11*(-b)^(21/2)*c^3 + 8704*a^12*(-b)^(21/2)*c^2 + 4480*a^13*(-b)^(19/2)*c^3 + 15360*a^9*(-b)^(25/2)*c^2 + 3328*a^10*(-b)^(23/2)*c^3 + 12288*a^11*(-b)^(23/2)*c^2 + 128*a^12*(-b)^(21/2)*c^3 + 1120*a^13*(-b)^(19/2)*c^4 - 8320*a^9*(-b)^(25/2)*c^3 + 7680*a^10*(-b)^(25/2)*c^2 - 4992*a^11*(-b)^(23/2)*c^3 - 1120*a^12*(-b)^(21/2)*c^4 - 6656*a^13*(-b)^(21/2)*c^3 - 10240*a^8*(-b)^(27/2)*c^3 - 21120*a^10*(-b)^(25/2)*c^3 - 2400*a^11*(-b)^(23/2)*c^4 - 9216*a^12*(-b)^(23/2)*c^3 - 4480*a^13*(-b)^(21/2)*c^4 - 20480*a^9*(-b)^(27/2)*c^3 - 7200*a^10*(-b)^(25/2)*c^4 - 12800*a^11*(-b)^(25/2)*c^3 + 1920*a^12*(-b)^(23/2)*c^4 - 896*a^13*(-b)^(21/2)*c^5 + 640*a^9*(-b)^(27/2)*c^4 - 10240*a^10*(-b)^(27/2)*c^3 - 3200*a^11*(-b)^(25/2)*c^4 + 7680*a^13*(-b)^(23/2)*c^4 + 7680*a^8*(-b)^(29/2)*c^4 + 5760*a^10*(-b)^(27/2)*c^4 - 1280*a^11*(-b)^(25/2)*c^5 + 5120*a^12*(-b)^(25/2)*c^4 + 2688*a^13*(-b)^(23/2)*c^5 + 15360*a^9*(-b)^(29/2)*c^4 + 5120*a^10*(-b)^(27/2)*c^5 + 5120*a^11*(-b)^(27/2)*c^4 - 5248*a^12*(-b)^(25/2)*c^5 + 448*a^13*(-b)^(23/2)*c^6 + 4224*a^9*(-b)^(29/2)*c^5 + 7680*a^10*(-b)^(29/2)*c^4 + 3968*a^11*(-b)^(27/2)*c^5 + 448*a^12*(-b)^(25/2)*c^6 - 6656*a^13*(-b)^(25/2)*c^5 - 3072*a^8*(-b)^(31/2)*c^5 + 5760*a^10*(-b)^(29/2)*c^5 + 2752*a^11*(-b)^(27/2)*c^6 - 2048*a^12*(-b)^(27/2)*c^5 - 896*a^13*(-b)^(25/2)*c^6 - 6144*a^9*(-b)^(31/2)*c^5 - 704*a^10*(-b)^(29/2)*c^6 + 1536*a^11*(-b)^(29/2)*c^5 + 5504*a^12*(-b)^(27/2)*c^6 - 128*a^13*(-b)^(25/2)*c^7 - 2944*a^9*(-b)^(31/2)*c^6 - 3072*a^10*(-b)^(31/2)*c^5 + 384*a^11*(-b)^(29/2)*c^6 - 256*a^12*(-b)^(27/2)*c^7 + 4096*a^13*(-b)^(27/2)*c^6 + 512*a^8*(-b)^(33/2)*c^6 - 4992*a^10*(-b)^(31/2)*c^6 - 1536*a^11*(-b)^(29/2)*c^7 + 1536*a^12*(-b)^(29/2)*c^6 + 128*a^13*(-b)^(27/2)*c^7 + 1024*a^9*(-b)^(33/2)*c^6 - 768*a^10*(-b)^(31/2)*c^7 - 2048*a^11*(-b)^(31/2)*c^6 - 2688*a^12*(-b)^(29/2)*c^7 + 16*a^13*(-b)^(27/2)*c^8 + 640*a^9*(-b)^(33/2)*c^7 + 512*a^10*(-b)^(33/2)*c^6 - 1664*a^11*(-b)^(31/2)*c^7 + 48*a^12*(-b)^(29/2)*c^8 - 1536*a^13*(-b)^(29/2)*c^7 + 1152*a^10*(-b)^(33/2)*c^7 + 304*a^11*(-b)^(31/2)*c^8 - 1024*a^12*(-b)^(31/2)*c^7 + 272*a^10*(-b)^(33/2)*c^8 + 512*a^11*(-b)^(33/2)*c^7 + 512*a^12*(-b)^(31/2)*c^8 + 512*a^11*(-b)^(33/2)*c^8 + 256*a^13*(-b)^(31/2)*c^8 + 256*a^12*(-b)^(33/2)*c^8 - 128*a^13*(-b)^(13/2)*c + 512*a^12*(-b)^(15/2)*c + 768*a^11*(-b)^(17/2)*c + 896*a^13*(-b)^(15/2)*c - 1536*a^10*(-b)^(19/2)*c - 384*a^12*(-b)^(17/2)*c - 4736*a^9*(-b)^(21/2)*c - 5504*a^11*(-b)^(19/2)*c - 1536*a^13*(-b)^(17/2)*c - 3072*a^8*(-b)^(23/2)*c - 10368*a^10*(-b)^(21/2)*c - 4096*a^12*(-b)^(19/2)*c - 6144*a^9*(-b)^(23/2)*c - 5632*a^11*(-b)^(21/2)*c - 3072*a^10*(-b)^(23/2)*c)*64i)/((-b)^(1/4)*(a^6*b^17 + 9*a^7*b^17*c + 36*a^8*b^17*c^2 + 84*a^9*b^17*c^3 + 126*a^10*b^17*c^4 + 126*a^11*b^17*c^5 + 84*a^12*b^17*c^6 + 36*a^13*b^17*c^7 + 9*a^14*b^17*c^8 + a^15*b^17*c^9)))*1i - (64*(-(b*x - 1)/(c + x))^(1/4)*(512*(-b)^(19/2) + a^5*(-b)^(9/2) + a^4*(-b)^(11/2) + 2*a^6*(-b)^(9/2) - 16*a^3*(-b)^(13/2) + 18*a^5*(-b)^(11/2) + a^7*(-b)^(9/2) - 144*a^2*(-b)^(15/2) - 176*a^4*(-b)^(13/2) + 49*a^6*(-b)^(11/2) - 576*a^3*(-b)^(15/2) - 560*a^5*(-b)^(13/2) + 48*a^7*(-b)^(11/2) + 2688*a^2*(-b)^(17/2) - 608*a^4*(-b)^(15/2) - 784*a^6*(-b)^(13/2) + 16*a^8*(-b)^(11/2) + 7680*a^3*(-b)^(17/2) + 448*a^5*(-b)^(15/2) - 512*a^7*(-b)^(13/2) + 7680*a^2*(-b)^(19/2) + 11520*a^4*(-b)^(17/2) + 1392*a^6*(-b)^(15/2) - 128*a^8*(-b)^(13/2) + 10240*a^3*(-b)^(19/2) + 9600*a^5*(-b)^(17/2) + 1024*a^7*(-b)^(15/2) + 7680*a^4*(-b)^(19/2) + 4224*a^6*(-b)^(17/2) + 256*a^8*(-b)^(15/2) + 3072*a^5*(-b)^(19/2) + 768*a^7*(-b)^(17/2) + 512*a^6*(-b)^(19/2) + 7680*(-b)^(23/2)*c^2 - 10240*(-b)^(25/2)*c^3 + 7680*(-b)^(27/2)*c^4 - 3072*(-b)^(29/2)*c^5 + 512*(-b)^(31/2)*c^6 + 384*a*(-b)^(17/2) + 3072*a*(-b)^(19/2) - 3072*(-b)^(21/2)*c + a^7*(-b)^(9/2)*c^2 - 35*a^6*(-b)^(11/2)*c^2 + 2*a^8*(-b)^(9/2)*c^2 + 265*a^5*(-b)^(13/2)*c^2 - 86*a^7*(-b)^(11/2)*c^2 + a^9*(-b)^(9/2)*c^2 - 851*a^4*(-b)^(15/2)*c^2 + 738*a^6*(-b)^(13/2)*c^2 - 10*a^7*(-b)^(11/2)*c^3 - 67*a^8*(-b)^(11/2)*c^2 + 2496*a^3*(-b)^(17/2)*c^2 - 2566*a^5*(-b)^(15/2)*c^2 + 224*a^6*(-b)^(13/2)*c^3 + 649*a^7*(-b)^(13/2)*c^2 - 20*a^8*(-b)^(11/2)*c^3 - 16*a^9*(-b)^(11/2)*c^2 - 5184*a^2*(-b)^(19/2)*c^2 + 10432*a^4*(-b)^(17/2)*c^2 - 1358*a^5*(-b)^(15/2)*c^3 - 1907*a^6*(-b)^(15/2)*c^2 + 592*a^7*(-b)^(13/2)*c^3 + 144*a^8*(-b)^(13/2)*c^2 - 10*a^9*(-b)^(11/2)*c^3 - 31104*a^3*(-b)^(19/2)*c^2 + 3784*a^4*(-b)^(17/2)*c^3 + 14912*a^5*(-b)^(17/2)*c^2 - 4364*a^6*(-b)^(15/2)*c^3 + 45*a^7*(-b)^(13/2)*c^4 + 1120*a^7*(-b)^(15/2)*c^2 + 512*a^8*(-b)^(13/2)*c^3 - 32*a^9*(-b)^(13/2)*c^2 + 1152*a^2*(-b)^(21/2)*c^2 - 7552*a^3*(-b)^(19/2)*c^3 - 74624*a^4*(-b)^(19/2)*c^2 + 14288*a^5*(-b)^(17/2)*c^3 - 771*a^6*(-b)^(15/2)*c^4 + 5824*a^6*(-b)^(17/2)*c^2 - 4974*a^7*(-b)^(15/2)*c^3 + 90*a^8*(-b)^(13/2)*c^4 + 1952*a^8*(-b)^(15/2)*c^2 + 144*a^9*(-b)^(13/2)*c^3 + 6912*a^2*(-b)^(21/2)*c^3 + 23040*a^3*(-b)^(21/2)*c^2 - 36800*a^4*(-b)^(19/2)*c^3 + 3874*a^5*(-b)^(17/2)*c^4 - 91136*a^5*(-b)^(19/2)*c^2 + 19144*a^6*(-b)^(17/2)*c^3 - 2118*a^7*(-b)^(15/2)*c^4 - 5120*a^7*(-b)^(17/2)*c^2 - 2288*a^8*(-b)^(15/2)*c^3 + 45*a^9*(-b)^(13/2)*c^4 + 640*a^9*(-b)^(15/2)*c^2 + 115200*a^2*(-b)^(23/2)*c^2 + 49536*a^3*(-b)^(21/2)*c^3 - 8750*a^4*(-b)^(19/2)*c^4 + 57600*a^4*(-b)^(21/2)*c^2 - 68032*a^5*(-b)^(19/2)*c^3 + 13444*a^6*(-b)^(17/2)*c^4 - 58944*a^6*(-b)^(19/2)*c^2 - 120*a^7*(-b)^(15/2)*c^5 + 9664*a^7*(-b)^(17/2)*c^3 - 1923*a^8*(-b)^(15/2)*c^4 - 5248*a^8*(-b)^(17/2)*c^2 - 320*a^9*(-b)^(15/2)*c^3 + 44160*a^2*(-b)^(23/2)*c^3 + 11040*a^3*(-b)^(21/2)*c^4 + 153600*a^3*(-b)^(23/2)*c^2 + 137728*a^4*(-b)^(21/2)*c^3 - 36988*a^5*(-b)^(19/2)*c^4 + 63360*a^5*(-b)^(21/2)*c^2 + 1644*a^6*(-b)^(17/2)*c^5 - 56512*a^6*(-b)^(19/2)*c^3 + 17058*a^7*(-b)^(17/2)*c^4 - 18560*a^7*(-b)^(19/2)*c^2 - 240*a^8*(-b)^(15/2)*c^5 + 128*a^8*(-b)^(17/2)*c^3 - 576*a^9*(-b)^(15/2)*c^4 - 1280*a^9*(-b)^(17/2)*c^2 - 480*a^2*(-b)^(23/2)*c^4 + 76800*a^3*(-b)^(23/2)*c^3 + 60640*a^4*(-b)^(21/2)*c^4 + 115200*a^4*(-b)^(23/2)*c^2 - 6776*a^5*(-b)^(19/2)*c^5 + 193792*a^5*(-b)^(21/2)*c^3 - 59150*a^6*(-b)^(19/2)*c^4 + 33408*a^6*(-b)^(21/2)*c^2 + 4632*a^7*(-b)^(17/2)*c^5 - 16064*a^7*(-b)^(19/2)*c^3 + 9280*a^8*(-b)^(17/2)*c^4 - 2048*a^8*(-b)^(19/2)*c^2 - 120*a^9*(-b)^(15/2)*c^5 - 896*a^9*(-b)^(17/2)*c^3 - 153600*a^2*(-b)^(25/2)*c^3 - 23040*a^3*(-b)^(23/2)*c^4 + 11620*a^4*(-b)^(21/2)*c^5 + 57600*a^4*(-b)^(23/2)*c^3 + 128864*a^5*(-b)^(21/2)*c^4 + 46080*a^5*(-b)^(23/2)*c^2 - 24752*a^6*(-b)^(19/2)*c^5 + 146688*a^6*(-b)^(21/2)*c^3 + 210*a^7*(-b)^(17/2)*c^6 - 43232*a^7*(-b)^(19/2)*c^4 + 6912*a^7*(-b)^(21/2)*c^2 + 4332*a^8*(-b)^(17/2)*c^5 + 3968*a^8*(-b)^(19/2)*c^3 + 1792*a^9*(-b)^(17/2)*c^4 - 90240*a^2*(-b)^(25/2)*c^4 - 7104*a^3*(-b)^(23/2)*c^5 - 204800*a^3*(-b)^(25/2)*c^3 - 100160*a^4*(-b)^(23/2)*c^4 + 53480*a^5*(-b)^(21/2)*c^5 + 9600*a^5*(-b)^(23/2)*c^3 - 2310*a^6*(-b)^(19/2)*c^6 + 131872*a^6*(-b)^(21/2)*c^4 + 7680*a^6*(-b)^(23/2)*c^2 - 33432*a^7*(-b)^(19/2)*c^5 + 56704*a^7*(-b)^(21/2)*c^3 + 420*a^8*(-b)^(17/2)*c^6 - 13216*a^8*(-b)^(19/2)*c^4 + 1344*a^9*(-b)^(17/2)*c^5 + 2304*a^9*(-b)^(19/2)*c^3 - 9216*a^2*(-b)^(25/2)*c^5 - 192000*a^3*(-b)^(25/2)*c^4 - 48224*a^4*(-b)^(23/2)*c^5 - 153600*a^4*(-b)^(25/2)*c^3 + 7546*a^5*(-b)^(21/2)*c^6 - 179840*a^5*(-b)^(23/2)*c^4 + 94948*a^6*(-b)^(21/2)*c^5 - 9600*a^6*(-b)^(23/2)*c^3 - 6636*a^7*(-b)^(19/2)*c^6 + 63232*a^7*(-b)^(21/2)*c^4 - 19712*a^8*(-b)^(19/2)*c^5 + 8704*a^8*(-b)^(21/2)*c^3 + 210*a^9*(-b)^(17/2)*c^6 - 896*a^9*(-b)^(19/2)*c^4 + 115200*a^2*(-b)^(27/2)*c^4 - 31104*a^3*(-b)^(25/2)*c^5 - 8750*a^4*(-b)^(23/2)*c^6 - 211200*a^4*(-b)^(25/2)*c^4 - 121120*a^5*(-b)^(23/2)*c^5 - 61440*a^5*(-b)^(25/2)*c^3 + 28756*a^6*(-b)^(21/2)*c^6 - 161760*a^6*(-b)^(23/2)*c^4 - 252*a^7*(-b)^(19/2)*c^7 + 80416*a^7*(-b)^(21/2)*c^5 - 3840*a^7*(-b)^(23/2)*c^3 - 6342*a^8*(-b)^(19/2)*c^6 + 9344*a^8*(-b)^(21/2)*c^4 - 4256*a^9*(-b)^(19/2)*c^5 + 81792*a^2*(-b)^(27/2)*c^5 - 832*a^3*(-b)^(25/2)*c^6 + 153600*a^3*(-b)^(27/2)*c^4 - 23552*a^4*(-b)^(25/2)*c^5 - 44380*a^5*(-b)^(23/2)*c^6 - 124800*a^5*(-b)^(25/2)*c^4 + 2184*a^6*(-b)^(21/2)*c^7 - 146336*a^6*(-b)^(23/2)*c^5 - 10240*a^6*(-b)^(25/2)*c^3 + 40698*a^7*(-b)^(21/2)*c^6 - 72320*a^7*(-b)^(23/2)*c^4 - 504*a^8*(-b)^(19/2)*c^7 + 31808*a^8*(-b)^(21/2)*c^5 - 2016*a^9*(-b)^(19/2)*c^6 - 1280*a^9*(-b)^(21/2)*c^4 + 10944*a^2*(-b)^(27/2)*c^6 + 184320*a^3*(-b)^(27/2)*c^5 + 8896*a^4*(-b)^(25/2)*c^6 + 115200*a^4*(-b)^(27/2)*c^4 - 5300*a^5*(-b)^(23/2)*c^7 + 32512*a^5*(-b)^(25/2)*c^5 - 86702*a^6*(-b)^(23/2)*c^6 - 36480*a^6*(-b)^(25/2)*c^4 + 6384*a^7*(-b)^(21/2)*c^7 - 87968*a^7*(-b)^(23/2)*c^5 + 25312*a^8*(-b)^(21/2)*c^6 - 12800*a^8*(-b)^(23/2)*c^4 - 252*a^9*(-b)^(19/2)*c^7 + 4480*a^9*(-b)^(21/2)*c^5 - 46080*a^2*(-b)^(29/2)*c^5 + 49536*a^3*(-b)^(27/2)*c^6 + 3016*a^4*(-b)^(25/2)*c^7 + 218880*a^4*(-b)^(27/2)*c^5 + 44864*a^5*(-b)^(25/2)*c^6 + 46080*a^5*(-b)^(27/2)*c^4 - 21128*a^6*(-b)^(23/2)*c^7 + 66048*a^6*(-b)^(25/2)*c^5 + 210*a^7*(-b)^(21/2)*c^8 - 81536*a^7*(-b)^(23/2)*c^6 - 3840*a^7*(-b)^(25/2)*c^4 + 6216*a^8*(-b)^(21/2)*c^7 - 22912*a^8*(-b)^(23/2)*c^5 + 5824*a^9*(-b)^(21/2)*c^6 - 36480*a^2*(-b)^(29/2)*c^6 + 4224*a^3*(-b)^(27/2)*c^7 - 61440*a^3*(-b)^(29/2)*c^5 + 86656*a^4*(-b)^(27/2)*c^6 + 18896*a^5*(-b)^(25/2)*c^7 + 144000*a^5*(-b)^(27/2)*c^5 - 1374*a^6*(-b)^(23/2)*c^8 + 75200*a^6*(-b)^(25/2)*c^6 + 7680*a^6*(-b)^(27/2)*c^4 - 31284*a^7*(-b)^(23/2)*c^7 + 40576*a^7*(-b)^(25/2)*c^5 + 420*a^8*(-b)^(21/2)*c^8 - 36736*a^8*(-b)^(23/2)*c^6 + 2016*a^9*(-b)^(21/2)*c^7 - 1280*a^9*(-b)^(23/2)*c^5 - 5376*a^2*(-b)^(29/2)*c^7 - 84480*a^3*(-b)^(29/2)*c^6 + 13888*a^4*(-b)^(27/2)*c^7 - 46080*a^4*(-b)^(29/2)*c^5 + 2173*a^5*(-b)^(25/2)*c^8 + 70144*a^5*(-b)^(27/2)*c^6 + 42952*a^6*(-b)^(25/2)*c^7 + 49536*a^6*(-b)^(27/2)*c^5 - 4092*a^7*(-b)^(23/2)*c^8 + 57856*a^7*(-b)^(25/2)*c^6 - 20384*a^8*(-b)^(23/2)*c^7 + 8704*a^8*(-b)^(25/2)*c^5 + 210*a^9*(-b)^(21/2)*c^8 - 6272*a^9*(-b)^(23/2)*c^6 + 7680*a^2*(-b)^(31/2)*c^6 - 26496*a^3*(-b)^(29/2)*c^7 + 301*a^4*(-b)^(27/2)*c^8 - 103680*a^4*(-b)^(29/2)*c^6 + 12608*a^5*(-b)^(27/2)*c^7 - 18432*a^5*(-b)^(29/2)*c^5 + 9274*a^6*(-b)^(25/2)*c^8 + 21696*a^6*(-b)^(27/2)*c^6 - 120*a^7*(-b)^(23/2)*c^9 + 45760*a^7*(-b)^(25/2)*c^7 + 6912*a^7*(-b)^(27/2)*c^5 - 4062*a^8*(-b)^(23/2)*c^8 + 20096*a^8*(-b)^(25/2)*c^6 - 4928*a^9*(-b)^(23/2)*c^7 + 6528*a^2*(-b)^(31/2)*c^7 - 2448*a^3*(-b)^(29/2)*c^8 + 10240*a^3*(-b)^(31/2)*c^6 - 52736*a^4*(-b)^(29/2)*c^7 - 1558*a^5*(-b)^(27/2)*c^8 - 71040*a^5*(-b)^(29/2)*c^6 + 546*a^6*(-b)^(25/2)*c^9 - 4544*a^6*(-b)^(27/2)*c^7 - 3072*a^6*(-b)^(29/2)*c^5 + 14589*a^7*(-b)^(25/2)*c^8 - 2432*a^7*(-b)^(27/2)*c^6 - 240*a^8*(-b)^(23/2)*c^9 + 23168*a^8*(-b)^(25/2)*c^7 - 1344*a^9*(-b)^(23/2)*c^8 + 2304*a^9*(-b)^(25/2)*c^6 + 1008*a^2*(-b)^(31/2)*c^8 + 15360*a^3*(-b)^(31/2)*c^7 - 10160*a^4*(-b)^(29/2)*c^8 + 7680*a^4*(-b)^(31/2)*c^6 - 384*a^5*(-b)^(27/2)*c^9 - 53504*a^5*(-b)^(29/2)*c^7 - 8099*a^6*(-b)^(27/2)*c^8 - 25728*a^6*(-b)^(29/2)*c^6 + 1668*a^7*(-b)^(25/2)*c^9 - 13760*a^7*(-b)^(27/2)*c^7 + 10048*a^8*(-b)^(25/2)*c^8 - 2048*a^8*(-b)^(27/2)*c^6 - 120*a^9*(-b)^(23/2)*c^9 + 4480*a^9*(-b)^(25/2)*c^7 + 5184*a^3*(-b)^(31/2)*c^8 - 570*a^4*(-b)^(29/2)*c^9 + 19200*a^4*(-b)^(31/2)*c^7 - 16048*a^5*(-b)^(29/2)*c^8 + 3072*a^5*(-b)^(31/2)*c^6 - 1984*a^6*(-b)^(27/2)*c^9 - 28416*a^6*(-b)^(29/2)*c^7 + 45*a^7*(-b)^(25/2)*c^10 - 11984*a^7*(-b)^(27/2)*c^8 - 3840*a^7*(-b)^(29/2)*c^6 + 1698*a^8*(-b)^(25/2)*c^9 - 7552*a^8*(-b)^(27/2)*c^7 + 2560*a^9*(-b)^(25/2)*c^8 + 480*a^3*(-b)^(31/2)*c^9 + 10912*a^4*(-b)^(31/2)*c^8 - 1732*a^5*(-b)^(29/2)*c^9 + 13440*a^5*(-b)^(31/2)*c^7 - 119*a^6*(-b)^(27/2)*c^10 - 11408*a^6*(-b)^(29/2)*c^8 + 512*a^6*(-b)^(31/2)*c^6 - 3568*a^7*(-b)^(27/2)*c^9 - 7040*a^7*(-b)^(29/2)*c^7 + 90*a^8*(-b)^(25/2)*c^10 - 7408*a^8*(-b)^(27/2)*c^8 + 576*a^9*(-b)^(25/2)*c^9 - 1280*a^9*(-b)^(27/2)*c^7 + 2160*a^4*(-b)^(31/2)*c^9 - 35*a^5*(-b)^(29/2)*c^10 + 11968*a^5*(-b)^(31/2)*c^8 - 1530*a^6*(-b)^(29/2)*c^9 + 4992*a^6*(-b)^(31/2)*c^7 - 382*a^7*(-b)^(27/2)*c^10 - 2816*a^7*(-b)^(29/2)*c^8 - 2720*a^8*(-b)^(27/2)*c^9 - 512*a^8*(-b)^(29/2)*c^7 + 45*a^9*(-b)^(25/2)*c^10 - 1664*a^9*(-b)^(27/2)*c^8 + 129*a^4*(-b)^(31/2)*c^10 + 3856*a^5*(-b)^(31/2)*c^9 + 10*a^6*(-b)^(29/2)*c^10 + 7152*a^6*(-b)^(31/2)*c^8 - 10*a^7*(-b)^(27/2)*c^11 + 112*a^7*(-b)^(29/2)*c^9 + 768*a^7*(-b)^(31/2)*c^7 - 407*a^8*(-b)^(27/2)*c^10 + 512*a^8*(-b)^(29/2)*c^8 - 752*a^9*(-b)^(27/2)*c^9 + 482*a^5*(-b)^(31/2)*c^10 + 8*a^6*(-b)^(29/2)*c^11 + 3408*a^6*(-b)^(31/2)*c^9 + 221*a^7*(-b)^(29/2)*c^10 + 2176*a^7*(-b)^(31/2)*c^8 - 20*a^8*(-b)^(27/2)*c^11 + 736*a^8*(-b)^(29/2)*c^9 - 144*a^9*(-b)^(27/2)*c^10 + 256*a^9*(-b)^(29/2)*c^8 + 18*a^5*(-b)^(31/2)*c^11 + 673*a^6*(-b)^(31/2)*c^10 + 32*a^7*(-b)^(29/2)*c^11 + 1488*a^7*(-b)^(31/2)*c^9 + 272*a^8*(-b)^(29/2)*c^10 + 256*a^8*(-b)^(31/2)*c^8 - 10*a^9*(-b)^(27/2)*c^11 + 256*a^9*(-b)^(29/2)*c^9 + 52*a^6*(-b)^(31/2)*c^11 + a^7*(-b)^(29/2)*c^12 + 416*a^7*(-b)^(31/2)*c^10 + 40*a^8*(-b)^(29/2)*c^11 + 256*a^8*(-b)^(31/2)*c^9 + 96*a^9*(-b)^(29/2)*c^10 + a^6*(-b)^(31/2)*c^12 + 50*a^7*(-b)^(31/2)*c^11 + 2*a^8*(-b)^(29/2)*c^12 + 96*a^8*(-b)^(31/2)*c^10 + 16*a^9*(-b)^(29/2)*c^11 + 2*a^7*(-b)^(31/2)*c^12 + 16*a^8*(-b)^(31/2)*c^11 + a^9*(-b)^(29/2)*c^12 + a^8*(-b)^(31/2)*c^12 - 1152*a*(-b)^(19/2)*c - 18432*a*(-b)^(21/2)*c + 2*a^6*(-b)^(9/2)*c - 24*a^5*(-b)^(11/2)*c + 4*a^7*(-b)^(9/2)*c + 70*a^4*(-b)^(13/2)*c - 48*a^6*(-b)^(11/2)*c + 2*a^8*(-b)^(9/2)*c - 288*a^3*(-b)^(15/2)*c + 60*a^5*(-b)^(13/2)*c - 8*a^7*(-b)^(11/2)*c + 1536*a^2*(-b)^(17/2)*c - 656*a^4*(-b)^(15/2)*c - 378*a^6*(-b)^(13/2)*c + 32*a^8*(-b)^(11/2)*c + 8064*a^3*(-b)^(17/2)*c + 656*a^5*(-b)^(15/2)*c - 784*a^7*(-b)^(13/2)*c + 16*a^9*(-b)^(11/2)*c - 9600*a^2*(-b)^(19/2)*c + 16384*a^4*(-b)^(17/2)*c + 3280*a^6*(-b)^(15/2)*c - 544*a^8*(-b)^(13/2)*c - 30720*a^3*(-b)^(19/2)*c + 15616*a^5*(-b)^(17/2)*c + 3664*a^7*(-b)^(15/2)*c - 128*a^9*(-b)^(13/2)*c - 1152*a*(-b)^(21/2)*c^2 - 46080*a^2*(-b)^(21/2)*c - 49920*a^4*(-b)^(19/2)*c + 6144*a^6*(-b)^(17/2)*c + 1664*a^8*(-b)^(15/2)*c - 61440*a^3*(-b)^(21/2)*c - 44160*a^5*(-b)^(19/2)*c - 128*a^7*(-b)^(17/2)*c + 256*a^9*(-b)^(15/2)*c + 46080*a*(-b)^(23/2)*c^2 - 46080*a^4*(-b)^(21/2)*c - 20352*a^6*(-b)^(19/2)*c - 512*a^8*(-b)^(17/2)*c + 9600*a*(-b)^(23/2)*c^3 - 18432*a^5*(-b)^(21/2)*c - 3840*a^7*(-b)^(19/2)*c - 3072*a^6*(-b)^(21/2)*c - 61440*a*(-b)^(25/2)*c^3 - 17280*a*(-b)^(25/2)*c^4 + 46080*a*(-b)^(27/2)*c^4 + 14976*a*(-b)^(27/2)*c^5 - 18432*a*(-b)^(29/2)*c^5 - 6528*a*(-b)^(29/2)*c^6 + 3072*a*(-b)^(31/2)*c^6 + 1152*a*(-b)^(31/2)*c^7))/((-b)^(1/4)*(a^6*b^17 + 9*a^7*b^17*c + 36*a^8*b^17*c^2 + 84*a^9*b^17*c^3 + 126*a^10*b^17*c^4 + 126*a^11*b^17*c^5 + 84*a^12*b^17*c^6 + 36*a^13*b^17*c^7 + 9*a^14*b^17*c^8 + a^15*b^17*c^9))) - (-(4*a*b^3 + b^3 + 6*a^2*b^3 + 4*a^3*b^3 + a^4*b^3 + 4*a^2*b^3*c + 6*a^3*b^3*c + 4*a^4*b^3*c + a^5*b^3*c + a*b^3*c)/(a^8*b^4 - a^9*b^3))^(1/4)*((-(4*a*b^3 + b^3 + 6*a^2*b^3 + 4*a^3*b^3 + a^4*b^3 + 4*a^2*b^3*c + 6*a^3*b^3*c + 4*a^4*b^3*c + a^5*b^3*c + a*b^3*c)/(a^8*b^4 - a^9*b^3))^(3/4)*((64*(36*a^12*(-b)^(25/4) - 4*a^13*(-b)^(21/4) + 48*a^13*(-b)^(25/4) - 60*a^11*(-b)^(29/4) - 240*a^12*(-b)^(29/4) - 192*a^13*(-b)^(29/4) - 180*a^10*(-b)^(33/4) - 240*a^11*(-b)^(33/4) + 192*a^12*(-b)^(33/4) + 240*a^9*(-b)^(37/4) + 256*a^13*(-b)^(33/4) + 1200*a^10*(-b)^(37/4) + 1728*a^11*(-b)^(37/4) + 320*a^8*(-b)^(41/4) + 768*a^12*(-b)^(37/4) + 1152*a^9*(-b)^(41/4) + 1344*a^10*(-b)^(41/4) + 512*a^11*(-b)^(41/4) - 144*a^13*(-b)^(29/4)*c^2 + 912*a^12*(-b)^(33/4)*c^2 + 1344*a^13*(-b)^(33/4)*c^2 + 336*a^13*(-b)^(33/4)*c^3 - 432*a^11*(-b)^(37/4)*c^2 - 4032*a^12*(-b)^(37/4)*c^2 - 1680*a^12*(-b)^(37/4)*c^3 - 4032*a^13*(-b)^(37/4)*c^2 - 4624*a^10*(-b)^(41/4)*c^2 - 2688*a^13*(-b)^(37/4)*c^3 - 9408*a^11*(-b)^(41/4)*c^2 - 504*a^13*(-b)^(37/4)*c^4 - 336*a^11*(-b)^(41/4)*c^3 - 1344*a^12*(-b)^(41/4)*c^2 + 3584*a^9*(-b)^(45/4)*c^2 + 5376*a^12*(-b)^(41/4)*c^3 + 3584*a^13*(-b)^(41/4)*c^2 + 20160*a^10*(-b)^(45/4)*c^2 + 1848*a^12*(-b)^(41/4)*c^4 + 6720*a^13*(-b)^(41/4)*c^3 + 8848*a^10*(-b)^(45/4)*c^3 + 30912*a^11*(-b)^(45/4)*c^2 + 3360*a^13*(-b)^(41/4)*c^4 + 6720*a^8*(-b)^(49/4)*c^2 + 21504*a^11*(-b)^(45/4)*c^3 + 14336*a^12*(-b)^(45/4)*c^2 + 504*a^13*(-b)^(41/4)*c^5 + 24192*a^9*(-b)^(49/4)*c^2 + 1848*a^11*(-b)^(45/4)*c^4 + 9408*a^12*(-b)^(45/4)*c^3 - 4032*a^9*(-b)^(49/4)*c^3 + 28224*a^10*(-b)^(49/4)*c^2 - 3360*a^12*(-b)^(45/4)*c^4 - 3584*a^13*(-b)^(45/4)*c^3 - 26880*a^10*(-b)^(49/4)*c^3 + 10752*a^11*(-b)^(49/4)*c^2 - 1176*a^12*(-b)^(45/4)*c^5 - 6720*a^13*(-b)^(45/4)*c^4 - 10584*a^10*(-b)^(49/4)*c^4 - 44352*a^11*(-b)^(49/4)*c^3 - 2688*a^13*(-b)^(45/4)*c^5 - 11200*a^8*(-b)^(53/4)*c^3 - 30240*a^11*(-b)^(49/4)*c^4 - 21504*a^12*(-b)^(49/4)*c^3 - 336*a^13*(-b)^(45/4)*c^6 - 40320*a^9*(-b)^(53/4)*c^3 - 2520*a^11*(-b)^(49/4)*c^5 - 20160*a^12*(-b)^(49/4)*c^4 + 1120*a^9*(-b)^(53/4)*c^4 - 47040*a^10*(-b)^(53/4)*c^3 + 16800*a^10*(-b)^(53/4)*c^4 - 17920*a^11*(-b)^(53/4)*c^3 + 336*a^12*(-b)^(49/4)*c^6 + 4032*a^13*(-b)^(49/4)*c^5 + 8120*a^10*(-b)^(53/4)*c^5 + 33600*a^11*(-b)^(53/4)*c^4 + 1344*a^13*(-b)^(49/4)*c^6 + 11200*a^8*(-b)^(57/4)*c^4 + 26880*a^11*(-b)^(53/4)*c^5 + 17920*a^12*(-b)^(53/4)*c^4 + 144*a^13*(-b)^(49/4)*c^7 + 40320*a^9*(-b)^(57/4)*c^4 + 1680*a^11*(-b)^(53/4)*c^6 + 22848*a^12*(-b)^(53/4)*c^5 + 2240*a^9*(-b)^(57/4)*c^5 + 47040*a^10*(-b)^(57/4)*c^4 + 1344*a^12*(-b)^(53/4)*c^6 + 3584*a^13*(-b)^(53/4)*c^5 + 17920*a^11*(-b)^(57/4)*c^4 + 48*a^12*(-b)^(53/4)*c^7 - 1344*a^13*(-b)^(53/4)*c^6 - 3920*a^10*(-b)^(57/4)*c^6 - 9408*a^11*(-b)^(57/4)*c^5 - 384*a^13*(-b)^(53/4)*c^7 - 6720*a^8*(-b)^(61/4)*c^5 - 14784*a^11*(-b)^(57/4)*c^6 - 7168*a^12*(-b)^(57/4)*c^5 - 36*a^13*(-b)^(53/4)*c^8 - 24192*a^9*(-b)^(61/4)*c^5 - 528*a^11*(-b)^(57/4)*c^7 - 14784*a^12*(-b)^(57/4)*c^6 - 2688*a^9*(-b)^(61/4)*c^6 - 28224*a^10*(-b)^(61/4)*c^5 - 768*a^12*(-b)^(57/4)*c^7 - 3584*a^13*(-b)^(57/4)*c^6 - 6720*a^10*(-b)^(61/4)*c^6 - 10752*a^11*(-b)^(61/4)*c^5 - 60*a^12*(-b)^(57/4)*c^8 + 192*a^13*(-b)^(57/4)*c^7 + 1104*a^10*(-b)^(61/4)*c^7 - 4032*a^11*(-b)^(61/4)*c^6 + 48*a^13*(-b)^(57/4)*c^8 + 2240*a^8*(-b)^(65/4)*c^6 + 4608*a^11*(-b)^(61/4)*c^7 + 4*a^13*(-b)^(57/4)*c^9 + 8064*a^9*(-b)^(65/4)*c^6 + 36*a^11*(-b)^(61/4)*c^8 + 5184*a^12*(-b)^(61/4)*c^7 + 1216*a^9*(-b)^(65/4)*c^7 + 9408*a^10*(-b)^(65/4)*c^6 + 144*a^12*(-b)^(61/4)*c^8 + 1536*a^13*(-b)^(61/4)*c^7 + 3840*a^10*(-b)^(65/4)*c^7 + 3584*a^11*(-b)^(65/4)*c^6 + 12*a^12*(-b)^(61/4)*c^9 - 148*a^10*(-b)^(65/4)*c^8 + 3648*a^11*(-b)^(65/4)*c^7 - 320*a^8*(-b)^(69/4)*c^7 - 624*a^11*(-b)^(65/4)*c^8 + 1024*a^12*(-b)^(65/4)*c^7 - 1152*a^9*(-b)^(69/4)*c^7 + 12*a^11*(-b)^(65/4)*c^9 - 768*a^12*(-b)^(65/4)*c^8 - 208*a^9*(-b)^(69/4)*c^8 - 1344*a^10*(-b)^(69/4)*c^7 - 256*a^13*(-b)^(65/4)*c^8 - 720*a^10*(-b)^(69/4)*c^8 - 512*a^11*(-b)^(69/4)*c^7 + 4*a^10*(-b)^(69/4)*c^9 - 768*a^11*(-b)^(69/4)*c^8 - 256*a^12*(-b)^(69/4)*c^8 + 36*a^13*(-b)^(25/4)*c - 276*a^12*(-b)^(29/4)*c - 384*a^13*(-b)^(29/4)*c + 300*a^11*(-b)^(33/4)*c + 1536*a^12*(-b)^(33/4)*c + 1344*a^13*(-b)^(33/4)*c + 1380*a^10*(-b)^(37/4)*c + 2304*a^11*(-b)^(37/4)*c - 576*a^12*(-b)^(37/4)*c - 1472*a^9*(-b)^(41/4)*c - 1536*a^13*(-b)^(37/4)*c - 7680*a^10*(-b)^(41/4)*c - 11328*a^11*(-b)^(41/4)*c - 2240*a^8*(-b)^(45/4)*c - 5120*a^12*(-b)^(41/4)*c - 8064*a^9*(-b)^(45/4)*c - 9408*a^10*(-b)^(45/4)*c - 3584*a^11*(-b)^(45/4)*c))/(a^7*b^18 + 9*a^8*b^18*c + 36*a^9*b^18*c^2 + 84*a^10*b^18*c^3 + 126*a^11*b^18*c^4 + 126*a^12*b^18*c^5 + 84*a^13*b^18*c^6 + 36*a^14*b^18*c^7 + 9*a^15*b^18*c^8 + a^16*b^18*c^9) + ((-(4*a*b^3 + b^3 + 6*a^2*b^3 + 4*a^3*b^3 + a^4*b^3 + 4*a^2*b^3*c + 6*a^3*b^3*c + 4*a^4*b^3*c + a^5*b^3*c + a*b^3*c)/(a^8*b^4 - a^9*b^3))^(1/4)*(-(b*x - 1)/(c + x))^(1/4)*(16*a^13*(-b)^(11/2) - 80*a^12*(-b)^(13/2) - 80*a^11*(-b)^(15/2) - 128*a^13*(-b)^(13/2) + 400*a^10*(-b)^(17/2) + 128*a^12*(-b)^(15/2) + 896*a^9*(-b)^(19/2) + 1152*a^11*(-b)^(17/2) + 256*a^13*(-b)^(15/2) + 512*a^8*(-b)^(21/2) + 1920*a^10*(-b)^(19/2) + 768*a^12*(-b)^(17/2) + 1024*a^9*(-b)^(21/2) + 1024*a^11*(-b)^(19/2) + 512*a^10*(-b)^(21/2) + 448*a^13*(-b)^(15/2)*c^2 - 1344*a^12*(-b)^(17/2)*c^2 - 2624*a^11*(-b)^(19/2)*c^2 - 2688*a^13*(-b)^(17/2)*c^2 + 1088*a^10*(-b)^(21/2)*c^2 + 128*a^12*(-b)^(19/2)*c^2 - 896*a^13*(-b)^(17/2)*c^3 + 9600*a^9*(-b)^(23/2)*c^2 + 9344*a^11*(-b)^(21/2)*c^2 + 1792*a^12*(-b)^(19/2)*c^3 + 4096*a^13*(-b)^(19/2)*c^2 + 7680*a^8*(-b)^(25/2)*c^2 + 21888*a^10*(-b)^(23/2)*c^2 + 4096*a^11*(-b)^(21/2)*c^3 + 8704*a^12*(-b)^(21/2)*c^2 + 4480*a^13*(-b)^(19/2)*c^3 + 15360*a^9*(-b)^(25/2)*c^2 + 3328*a^10*(-b)^(23/2)*c^3 + 12288*a^11*(-b)^(23/2)*c^2 + 128*a^12*(-b)^(21/2)*c^3 + 1120*a^13*(-b)^(19/2)*c^4 - 8320*a^9*(-b)^(25/2)*c^3 + 7680*a^10*(-b)^(25/2)*c^2 - 4992*a^11*(-b)^(23/2)*c^3 - 1120*a^12*(-b)^(21/2)*c^4 - 6656*a^13*(-b)^(21/2)*c^3 - 10240*a^8*(-b)^(27/2)*c^3 - 21120*a^10*(-b)^(25/2)*c^3 - 2400*a^11*(-b)^(23/2)*c^4 - 9216*a^12*(-b)^(23/2)*c^3 - 4480*a^13*(-b)^(21/2)*c^4 - 20480*a^9*(-b)^(27/2)*c^3 - 7200*a^10*(-b)^(25/2)*c^4 - 12800*a^11*(-b)^(25/2)*c^3 + 1920*a^12*(-b)^(23/2)*c^4 - 896*a^13*(-b)^(21/2)*c^5 + 640*a^9*(-b)^(27/2)*c^4 - 10240*a^10*(-b)^(27/2)*c^3 - 3200*a^11*(-b)^(25/2)*c^4 + 7680*a^13*(-b)^(23/2)*c^4 + 7680*a^8*(-b)^(29/2)*c^4 + 5760*a^10*(-b)^(27/2)*c^4 - 1280*a^11*(-b)^(25/2)*c^5 + 5120*a^12*(-b)^(25/2)*c^4 + 2688*a^13*(-b)^(23/2)*c^5 + 15360*a^9*(-b)^(29/2)*c^4 + 5120*a^10*(-b)^(27/2)*c^5 + 5120*a^11*(-b)^(27/2)*c^4 - 5248*a^12*(-b)^(25/2)*c^5 + 448*a^13*(-b)^(23/2)*c^6 + 4224*a^9*(-b)^(29/2)*c^5 + 7680*a^10*(-b)^(29/2)*c^4 + 3968*a^11*(-b)^(27/2)*c^5 + 448*a^12*(-b)^(25/2)*c^6 - 6656*a^13*(-b)^(25/2)*c^5 - 3072*a^8*(-b)^(31/2)*c^5 + 5760*a^10*(-b)^(29/2)*c^5 + 2752*a^11*(-b)^(27/2)*c^6 - 2048*a^12*(-b)^(27/2)*c^5 - 896*a^13*(-b)^(25/2)*c^6 - 6144*a^9*(-b)^(31/2)*c^5 - 704*a^10*(-b)^(29/2)*c^6 + 1536*a^11*(-b)^(29/2)*c^5 + 5504*a^12*(-b)^(27/2)*c^6 - 128*a^13*(-b)^(25/2)*c^7 - 2944*a^9*(-b)^(31/2)*c^6 - 3072*a^10*(-b)^(31/2)*c^5 + 384*a^11*(-b)^(29/2)*c^6 - 256*a^12*(-b)^(27/2)*c^7 + 4096*a^13*(-b)^(27/2)*c^6 + 512*a^8*(-b)^(33/2)*c^6 - 4992*a^10*(-b)^(31/2)*c^6 - 1536*a^11*(-b)^(29/2)*c^7 + 1536*a^12*(-b)^(29/2)*c^6 + 128*a^13*(-b)^(27/2)*c^7 + 1024*a^9*(-b)^(33/2)*c^6 - 768*a^10*(-b)^(31/2)*c^7 - 2048*a^11*(-b)^(31/2)*c^6 - 2688*a^12*(-b)^(29/2)*c^7 + 16*a^13*(-b)^(27/2)*c^8 + 640*a^9*(-b)^(33/2)*c^7 + 512*a^10*(-b)^(33/2)*c^6 - 1664*a^11*(-b)^(31/2)*c^7 + 48*a^12*(-b)^(29/2)*c^8 - 1536*a^13*(-b)^(29/2)*c^7 + 1152*a^10*(-b)^(33/2)*c^7 + 304*a^11*(-b)^(31/2)*c^8 - 1024*a^12*(-b)^(31/2)*c^7 + 272*a^10*(-b)^(33/2)*c^8 + 512*a^11*(-b)^(33/2)*c^7 + 512*a^12*(-b)^(31/2)*c^8 + 512*a^11*(-b)^(33/2)*c^8 + 256*a^13*(-b)^(31/2)*c^8 + 256*a^12*(-b)^(33/2)*c^8 - 128*a^13*(-b)^(13/2)*c + 512*a^12*(-b)^(15/2)*c + 768*a^11*(-b)^(17/2)*c + 896*a^13*(-b)^(15/2)*c - 1536*a^10*(-b)^(19/2)*c - 384*a^12*(-b)^(17/2)*c - 4736*a^9*(-b)^(21/2)*c - 5504*a^11*(-b)^(19/2)*c - 1536*a^13*(-b)^(17/2)*c - 3072*a^8*(-b)^(23/2)*c - 10368*a^10*(-b)^(21/2)*c - 4096*a^12*(-b)^(19/2)*c - 6144*a^9*(-b)^(23/2)*c - 5632*a^11*(-b)^(21/2)*c - 3072*a^10*(-b)^(23/2)*c)*64i)/((-b)^(1/4)*(a^6*b^17 + 9*a^7*b^17*c + 36*a^8*b^17*c^2 + 84*a^9*b^17*c^3 + 126*a^10*b^17*c^4 + 126*a^11*b^17*c^5 + 84*a^12*b^17*c^6 + 36*a^13*b^17*c^7 + 9*a^14*b^17*c^8 + a^15*b^17*c^9)))*1i + (64*(-(b*x - 1)/(c + x))^(1/4)*(512*(-b)^(19/2) + a^5*(-b)^(9/2) + a^4*(-b)^(11/2) + 2*a^6*(-b)^(9/2) - 16*a^3*(-b)^(13/2) + 18*a^5*(-b)^(11/2) + a^7*(-b)^(9/2) - 144*a^2*(-b)^(15/2) - 176*a^4*(-b)^(13/2) + 49*a^6*(-b)^(11/2) - 576*a^3*(-b)^(15/2) - 560*a^5*(-b)^(13/2) + 48*a^7*(-b)^(11/2) + 2688*a^2*(-b)^(17/2) - 608*a^4*(-b)^(15/2) - 784*a^6*(-b)^(13/2) + 16*a^8*(-b)^(11/2) + 7680*a^3*(-b)^(17/2) + 448*a^5*(-b)^(15/2) - 512*a^7*(-b)^(13/2) + 7680*a^2*(-b)^(19/2) + 11520*a^4*(-b)^(17/2) + 1392*a^6*(-b)^(15/2) - 128*a^8*(-b)^(13/2) + 10240*a^3*(-b)^(19/2) + 9600*a^5*(-b)^(17/2) + 1024*a^7*(-b)^(15/2) + 7680*a^4*(-b)^(19/2) + 4224*a^6*(-b)^(17/2) + 256*a^8*(-b)^(15/2) + 3072*a^5*(-b)^(19/2) + 768*a^7*(-b)^(17/2) + 512*a^6*(-b)^(19/2) + 7680*(-b)^(23/2)*c^2 - 10240*(-b)^(25/2)*c^3 + 7680*(-b)^(27/2)*c^4 - 3072*(-b)^(29/2)*c^5 + 512*(-b)^(31/2)*c^6 + 384*a*(-b)^(17/2) + 3072*a*(-b)^(19/2) - 3072*(-b)^(21/2)*c + a^7*(-b)^(9/2)*c^2 - 35*a^6*(-b)^(11/2)*c^2 + 2*a^8*(-b)^(9/2)*c^2 + 265*a^5*(-b)^(13/2)*c^2 - 86*a^7*(-b)^(11/2)*c^2 + a^9*(-b)^(9/2)*c^2 - 851*a^4*(-b)^(15/2)*c^2 + 738*a^6*(-b)^(13/2)*c^2 - 10*a^7*(-b)^(11/2)*c^3 - 67*a^8*(-b)^(11/2)*c^2 + 2496*a^3*(-b)^(17/2)*c^2 - 2566*a^5*(-b)^(15/2)*c^2 + 224*a^6*(-b)^(13/2)*c^3 + 649*a^7*(-b)^(13/2)*c^2 - 20*a^8*(-b)^(11/2)*c^3 - 16*a^9*(-b)^(11/2)*c^2 - 5184*a^2*(-b)^(19/2)*c^2 + 10432*a^4*(-b)^(17/2)*c^2 - 1358*a^5*(-b)^(15/2)*c^3 - 1907*a^6*(-b)^(15/2)*c^2 + 592*a^7*(-b)^(13/2)*c^3 + 144*a^8*(-b)^(13/2)*c^2 - 10*a^9*(-b)^(11/2)*c^3 - 31104*a^3*(-b)^(19/2)*c^2 + 3784*a^4*(-b)^(17/2)*c^3 + 14912*a^5*(-b)^(17/2)*c^2 - 4364*a^6*(-b)^(15/2)*c^3 + 45*a^7*(-b)^(13/2)*c^4 + 1120*a^7*(-b)^(15/2)*c^2 + 512*a^8*(-b)^(13/2)*c^3 - 32*a^9*(-b)^(13/2)*c^2 + 1152*a^2*(-b)^(21/2)*c^2 - 7552*a^3*(-b)^(19/2)*c^3 - 74624*a^4*(-b)^(19/2)*c^2 + 14288*a^5*(-b)^(17/2)*c^3 - 771*a^6*(-b)^(15/2)*c^4 + 5824*a^6*(-b)^(17/2)*c^2 - 4974*a^7*(-b)^(15/2)*c^3 + 90*a^8*(-b)^(13/2)*c^4 + 1952*a^8*(-b)^(15/2)*c^2 + 144*a^9*(-b)^(13/2)*c^3 + 6912*a^2*(-b)^(21/2)*c^3 + 23040*a^3*(-b)^(21/2)*c^2 - 36800*a^4*(-b)^(19/2)*c^3 + 3874*a^5*(-b)^(17/2)*c^4 - 91136*a^5*(-b)^(19/2)*c^2 + 19144*a^6*(-b)^(17/2)*c^3 - 2118*a^7*(-b)^(15/2)*c^4 - 5120*a^7*(-b)^(17/2)*c^2 - 2288*a^8*(-b)^(15/2)*c^3 + 45*a^9*(-b)^(13/2)*c^4 + 640*a^9*(-b)^(15/2)*c^2 + 115200*a^2*(-b)^(23/2)*c^2 + 49536*a^3*(-b)^(21/2)*c^3 - 8750*a^4*(-b)^(19/2)*c^4 + 57600*a^4*(-b)^(21/2)*c^2 - 68032*a^5*(-b)^(19/2)*c^3 + 13444*a^6*(-b)^(17/2)*c^4 - 58944*a^6*(-b)^(19/2)*c^2 - 120*a^7*(-b)^(15/2)*c^5 + 9664*a^7*(-b)^(17/2)*c^3 - 1923*a^8*(-b)^(15/2)*c^4 - 5248*a^8*(-b)^(17/2)*c^2 - 320*a^9*(-b)^(15/2)*c^3 + 44160*a^2*(-b)^(23/2)*c^3 + 11040*a^3*(-b)^(21/2)*c^4 + 153600*a^3*(-b)^(23/2)*c^2 + 137728*a^4*(-b)^(21/2)*c^3 - 36988*a^5*(-b)^(19/2)*c^4 + 63360*a^5*(-b)^(21/2)*c^2 + 1644*a^6*(-b)^(17/2)*c^5 - 56512*a^6*(-b)^(19/2)*c^3 + 17058*a^7*(-b)^(17/2)*c^4 - 18560*a^7*(-b)^(19/2)*c^2 - 240*a^8*(-b)^(15/2)*c^5 + 128*a^8*(-b)^(17/2)*c^3 - 576*a^9*(-b)^(15/2)*c^4 - 1280*a^9*(-b)^(17/2)*c^2 - 480*a^2*(-b)^(23/2)*c^4 + 76800*a^3*(-b)^(23/2)*c^3 + 60640*a^4*(-b)^(21/2)*c^4 + 115200*a^4*(-b)^(23/2)*c^2 - 6776*a^5*(-b)^(19/2)*c^5 + 193792*a^5*(-b)^(21/2)*c^3 - 59150*a^6*(-b)^(19/2)*c^4 + 33408*a^6*(-b)^(21/2)*c^2 + 4632*a^7*(-b)^(17/2)*c^5 - 16064*a^7*(-b)^(19/2)*c^3 + 9280*a^8*(-b)^(17/2)*c^4 - 2048*a^8*(-b)^(19/2)*c^2 - 120*a^9*(-b)^(15/2)*c^5 - 896*a^9*(-b)^(17/2)*c^3 - 153600*a^2*(-b)^(25/2)*c^3 - 23040*a^3*(-b)^(23/2)*c^4 + 11620*a^4*(-b)^(21/2)*c^5 + 57600*a^4*(-b)^(23/2)*c^3 + 128864*a^5*(-b)^(21/2)*c^4 + 46080*a^5*(-b)^(23/2)*c^2 - 24752*a^6*(-b)^(19/2)*c^5 + 146688*a^6*(-b)^(21/2)*c^3 + 210*a^7*(-b)^(17/2)*c^6 - 43232*a^7*(-b)^(19/2)*c^4 + 6912*a^7*(-b)^(21/2)*c^2 + 4332*a^8*(-b)^(17/2)*c^5 + 3968*a^8*(-b)^(19/2)*c^3 + 1792*a^9*(-b)^(17/2)*c^4 - 90240*a^2*(-b)^(25/2)*c^4 - 7104*a^3*(-b)^(23/2)*c^5 - 204800*a^3*(-b)^(25/2)*c^3 - 100160*a^4*(-b)^(23/2)*c^4 + 53480*a^5*(-b)^(21/2)*c^5 + 9600*a^5*(-b)^(23/2)*c^3 - 2310*a^6*(-b)^(19/2)*c^6 + 131872*a^6*(-b)^(21/2)*c^4 + 7680*a^6*(-b)^(23/2)*c^2 - 33432*a^7*(-b)^(19/2)*c^5 + 56704*a^7*(-b)^(21/2)*c^3 + 420*a^8*(-b)^(17/2)*c^6 - 13216*a^8*(-b)^(19/2)*c^4 + 1344*a^9*(-b)^(17/2)*c^5 + 2304*a^9*(-b)^(19/2)*c^3 - 9216*a^2*(-b)^(25/2)*c^5 - 192000*a^3*(-b)^(25/2)*c^4 - 48224*a^4*(-b)^(23/2)*c^5 - 153600*a^4*(-b)^(25/2)*c^3 + 7546*a^5*(-b)^(21/2)*c^6 - 179840*a^5*(-b)^(23/2)*c^4 + 94948*a^6*(-b)^(21/2)*c^5 - 9600*a^6*(-b)^(23/2)*c^3 - 6636*a^7*(-b)^(19/2)*c^6 + 63232*a^7*(-b)^(21/2)*c^4 - 19712*a^8*(-b)^(19/2)*c^5 + 8704*a^8*(-b)^(21/2)*c^3 + 210*a^9*(-b)^(17/2)*c^6 - 896*a^9*(-b)^(19/2)*c^4 + 115200*a^2*(-b)^(27/2)*c^4 - 31104*a^3*(-b)^(25/2)*c^5 - 8750*a^4*(-b)^(23/2)*c^6 - 211200*a^4*(-b)^(25/2)*c^4 - 121120*a^5*(-b)^(23/2)*c^5 - 61440*a^5*(-b)^(25/2)*c^3 + 28756*a^6*(-b)^(21/2)*c^6 - 161760*a^6*(-b)^(23/2)*c^4 - 252*a^7*(-b)^(19/2)*c^7 + 80416*a^7*(-b)^(21/2)*c^5 - 3840*a^7*(-b)^(23/2)*c^3 - 6342*a^8*(-b)^(19/2)*c^6 + 9344*a^8*(-b)^(21/2)*c^4 - 4256*a^9*(-b)^(19/2)*c^5 + 81792*a^2*(-b)^(27/2)*c^5 - 832*a^3*(-b)^(25/2)*c^6 + 153600*a^3*(-b)^(27/2)*c^4 - 23552*a^4*(-b)^(25/2)*c^5 - 44380*a^5*(-b)^(23/2)*c^6 - 124800*a^5*(-b)^(25/2)*c^4 + 2184*a^6*(-b)^(21/2)*c^7 - 146336*a^6*(-b)^(23/2)*c^5 - 10240*a^6*(-b)^(25/2)*c^3 + 40698*a^7*(-b)^(21/2)*c^6 - 72320*a^7*(-b)^(23/2)*c^4 - 504*a^8*(-b)^(19/2)*c^7 + 31808*a^8*(-b)^(21/2)*c^5 - 2016*a^9*(-b)^(19/2)*c^6 - 1280*a^9*(-b)^(21/2)*c^4 + 10944*a^2*(-b)^(27/2)*c^6 + 184320*a^3*(-b)^(27/2)*c^5 + 8896*a^4*(-b)^(25/2)*c^6 + 115200*a^4*(-b)^(27/2)*c^4 - 5300*a^5*(-b)^(23/2)*c^7 + 32512*a^5*(-b)^(25/2)*c^5 - 86702*a^6*(-b)^(23/2)*c^6 - 36480*a^6*(-b)^(25/2)*c^4 + 6384*a^7*(-b)^(21/2)*c^7 - 87968*a^7*(-b)^(23/2)*c^5 + 25312*a^8*(-b)^(21/2)*c^6 - 12800*a^8*(-b)^(23/2)*c^4 - 252*a^9*(-b)^(19/2)*c^7 + 4480*a^9*(-b)^(21/2)*c^5 - 46080*a^2*(-b)^(29/2)*c^5 + 49536*a^3*(-b)^(27/2)*c^6 + 3016*a^4*(-b)^(25/2)*c^7 + 218880*a^4*(-b)^(27/2)*c^5 + 44864*a^5*(-b)^(25/2)*c^6 + 46080*a^5*(-b)^(27/2)*c^4 - 21128*a^6*(-b)^(23/2)*c^7 + 66048*a^6*(-b)^(25/2)*c^5 + 210*a^7*(-b)^(21/2)*c^8 - 81536*a^7*(-b)^(23/2)*c^6 - 3840*a^7*(-b)^(25/2)*c^4 + 6216*a^8*(-b)^(21/2)*c^7 - 22912*a^8*(-b)^(23/2)*c^5 + 5824*a^9*(-b)^(21/2)*c^6 - 36480*a^2*(-b)^(29/2)*c^6 + 4224*a^3*(-b)^(27/2)*c^7 - 61440*a^3*(-b)^(29/2)*c^5 + 86656*a^4*(-b)^(27/2)*c^6 + 18896*a^5*(-b)^(25/2)*c^7 + 144000*a^5*(-b)^(27/2)*c^5 - 1374*a^6*(-b)^(23/2)*c^8 + 75200*a^6*(-b)^(25/2)*c^6 + 7680*a^6*(-b)^(27/2)*c^4 - 31284*a^7*(-b)^(23/2)*c^7 + 40576*a^7*(-b)^(25/2)*c^5 + 420*a^8*(-b)^(21/2)*c^8 - 36736*a^8*(-b)^(23/2)*c^6 + 2016*a^9*(-b)^(21/2)*c^7 - 1280*a^9*(-b)^(23/2)*c^5 - 5376*a^2*(-b)^(29/2)*c^7 - 84480*a^3*(-b)^(29/2)*c^6 + 13888*a^4*(-b)^(27/2)*c^7 - 46080*a^4*(-b)^(29/2)*c^5 + 2173*a^5*(-b)^(25/2)*c^8 + 70144*a^5*(-b)^(27/2)*c^6 + 42952*a^6*(-b)^(25/2)*c^7 + 49536*a^6*(-b)^(27/2)*c^5 - 4092*a^7*(-b)^(23/2)*c^8 + 57856*a^7*(-b)^(25/2)*c^6 - 20384*a^8*(-b)^(23/2)*c^7 + 8704*a^8*(-b)^(25/2)*c^5 + 210*a^9*(-b)^(21/2)*c^8 - 6272*a^9*(-b)^(23/2)*c^6 + 7680*a^2*(-b)^(31/2)*c^6 - 26496*a^3*(-b)^(29/2)*c^7 + 301*a^4*(-b)^(27/2)*c^8 - 103680*a^4*(-b)^(29/2)*c^6 + 12608*a^5*(-b)^(27/2)*c^7 - 18432*a^5*(-b)^(29/2)*c^5 + 9274*a^6*(-b)^(25/2)*c^8 + 21696*a^6*(-b)^(27/2)*c^6 - 120*a^7*(-b)^(23/2)*c^9 + 45760*a^7*(-b)^(25/2)*c^7 + 6912*a^7*(-b)^(27/2)*c^5 - 4062*a^8*(-b)^(23/2)*c^8 + 20096*a^8*(-b)^(25/2)*c^6 - 4928*a^9*(-b)^(23/2)*c^7 + 6528*a^2*(-b)^(31/2)*c^7 - 2448*a^3*(-b)^(29/2)*c^8 + 10240*a^3*(-b)^(31/2)*c^6 - 52736*a^4*(-b)^(29/2)*c^7 - 1558*a^5*(-b)^(27/2)*c^8 - 71040*a^5*(-b)^(29/2)*c^6 + 546*a^6*(-b)^(25/2)*c^9 - 4544*a^6*(-b)^(27/2)*c^7 - 3072*a^6*(-b)^(29/2)*c^5 + 14589*a^7*(-b)^(25/2)*c^8 - 2432*a^7*(-b)^(27/2)*c^6 - 240*a^8*(-b)^(23/2)*c^9 + 23168*a^8*(-b)^(25/2)*c^7 - 1344*a^9*(-b)^(23/2)*c^8 + 2304*a^9*(-b)^(25/2)*c^6 + 1008*a^2*(-b)^(31/2)*c^8 + 15360*a^3*(-b)^(31/2)*c^7 - 10160*a^4*(-b)^(29/2)*c^8 + 7680*a^4*(-b)^(31/2)*c^6 - 384*a^5*(-b)^(27/2)*c^9 - 53504*a^5*(-b)^(29/2)*c^7 - 8099*a^6*(-b)^(27/2)*c^8 - 25728*a^6*(-b)^(29/2)*c^6 + 1668*a^7*(-b)^(25/2)*c^9 - 13760*a^7*(-b)^(27/2)*c^7 + 10048*a^8*(-b)^(25/2)*c^8 - 2048*a^8*(-b)^(27/2)*c^6 - 120*a^9*(-b)^(23/2)*c^9 + 4480*a^9*(-b)^(25/2)*c^7 + 5184*a^3*(-b)^(31/2)*c^8 - 570*a^4*(-b)^(29/2)*c^9 + 19200*a^4*(-b)^(31/2)*c^7 - 16048*a^5*(-b)^(29/2)*c^8 + 3072*a^5*(-b)^(31/2)*c^6 - 1984*a^6*(-b)^(27/2)*c^9 - 28416*a^6*(-b)^(29/2)*c^7 + 45*a^7*(-b)^(25/2)*c^10 - 11984*a^7*(-b)^(27/2)*c^8 - 3840*a^7*(-b)^(29/2)*c^6 + 1698*a^8*(-b)^(25/2)*c^9 - 7552*a^8*(-b)^(27/2)*c^7 + 2560*a^9*(-b)^(25/2)*c^8 + 480*a^3*(-b)^(31/2)*c^9 + 10912*a^4*(-b)^(31/2)*c^8 - 1732*a^5*(-b)^(29/2)*c^9 + 13440*a^5*(-b)^(31/2)*c^7 - 119*a^6*(-b)^(27/2)*c^10 - 11408*a^6*(-b)^(29/2)*c^8 + 512*a^6*(-b)^(31/2)*c^6 - 3568*a^7*(-b)^(27/2)*c^9 - 7040*a^7*(-b)^(29/2)*c^7 + 90*a^8*(-b)^(25/2)*c^10 - 7408*a^8*(-b)^(27/2)*c^8 + 576*a^9*(-b)^(25/2)*c^9 - 1280*a^9*(-b)^(27/2)*c^7 + 2160*a^4*(-b)^(31/2)*c^9 - 35*a^5*(-b)^(29/2)*c^10 + 11968*a^5*(-b)^(31/2)*c^8 - 1530*a^6*(-b)^(29/2)*c^9 + 4992*a^6*(-b)^(31/2)*c^7 - 382*a^7*(-b)^(27/2)*c^10 - 2816*a^7*(-b)^(29/2)*c^8 - 2720*a^8*(-b)^(27/2)*c^9 - 512*a^8*(-b)^(29/2)*c^7 + 45*a^9*(-b)^(25/2)*c^10 - 1664*a^9*(-b)^(27/2)*c^8 + 129*a^4*(-b)^(31/2)*c^10 + 3856*a^5*(-b)^(31/2)*c^9 + 10*a^6*(-b)^(29/2)*c^10 + 7152*a^6*(-b)^(31/2)*c^8 - 10*a^7*(-b)^(27/2)*c^11 + 112*a^7*(-b)^(29/2)*c^9 + 768*a^7*(-b)^(31/2)*c^7 - 407*a^8*(-b)^(27/2)*c^10 + 512*a^8*(-b)^(29/2)*c^8 - 752*a^9*(-b)^(27/2)*c^9 + 482*a^5*(-b)^(31/2)*c^10 + 8*a^6*(-b)^(29/2)*c^11 + 3408*a^6*(-b)^(31/2)*c^9 + 221*a^7*(-b)^(29/2)*c^10 + 2176*a^7*(-b)^(31/2)*c^8 - 20*a^8*(-b)^(27/2)*c^11 + 736*a^8*(-b)^(29/2)*c^9 - 144*a^9*(-b)^(27/2)*c^10 + 256*a^9*(-b)^(29/2)*c^8 + 18*a^5*(-b)^(31/2)*c^11 + 673*a^6*(-b)^(31/2)*c^10 + 32*a^7*(-b)^(29/2)*c^11 + 1488*a^7*(-b)^(31/2)*c^9 + 272*a^8*(-b)^(29/2)*c^10 + 256*a^8*(-b)^(31/2)*c^8 - 10*a^9*(-b)^(27/2)*c^11 + 256*a^9*(-b)^(29/2)*c^9 + 52*a^6*(-b)^(31/2)*c^11 + a^7*(-b)^(29/2)*c^12 + 416*a^7*(-b)^(31/2)*c^10 + 40*a^8*(-b)^(29/2)*c^11 + 256*a^8*(-b)^(31/2)*c^9 + 96*a^9*(-b)^(29/2)*c^10 + a^6*(-b)^(31/2)*c^12 + 50*a^7*(-b)^(31/2)*c^11 + 2*a^8*(-b)^(29/2)*c^12 + 96*a^8*(-b)^(31/2)*c^10 + 16*a^9*(-b)^(29/2)*c^11 + 2*a^7*(-b)^(31/2)*c^12 + 16*a^8*(-b)^(31/2)*c^11 + a^9*(-b)^(29/2)*c^12 + a^8*(-b)^(31/2)*c^12 - 1152*a*(-b)^(19/2)*c - 18432*a*(-b)^(21/2)*c + 2*a^6*(-b)^(9/2)*c - 24*a^5*(-b)^(11/2)*c + 4*a^7*(-b)^(9/2)*c + 70*a^4*(-b)^(13/2)*c - 48*a^6*(-b)^(11/2)*c + 2*a^8*(-b)^(9/2)*c - 288*a^3*(-b)^(15/2)*c + 60*a^5*(-b)^(13/2)*c - 8*a^7*(-b)^(11/2)*c + 1536*a^2*(-b)^(17/2)*c - 656*a^4*(-b)^(15/2)*c - 378*a^6*(-b)^(13/2)*c + 32*a^8*(-b)^(11/2)*c + 8064*a^3*(-b)^(17/2)*c + 656*a^5*(-b)^(15/2)*c - 784*a^7*(-b)^(13/2)*c + 16*a^9*(-b)^(11/2)*c - 9600*a^2*(-b)^(19/2)*c + 16384*a^4*(-b)^(17/2)*c + 3280*a^6*(-b)^(15/2)*c - 544*a^8*(-b)^(13/2)*c - 30720*a^3*(-b)^(19/2)*c + 15616*a^5*(-b)^(17/2)*c + 3664*a^7*(-b)^(15/2)*c - 128*a^9*(-b)^(13/2)*c - 1152*a*(-b)^(21/2)*c^2 - 46080*a^2*(-b)^(21/2)*c - 49920*a^4*(-b)^(19/2)*c + 6144*a^6*(-b)^(17/2)*c + 1664*a^8*(-b)^(15/2)*c - 61440*a^3*(-b)^(21/2)*c - 44160*a^5*(-b)^(19/2)*c - 128*a^7*(-b)^(17/2)*c + 256*a^9*(-b)^(15/2)*c + 46080*a*(-b)^(23/2)*c^2 - 46080*a^4*(-b)^(21/2)*c - 20352*a^6*(-b)^(19/2)*c - 512*a^8*(-b)^(17/2)*c + 9600*a*(-b)^(23/2)*c^3 - 18432*a^5*(-b)^(21/2)*c - 3840*a^7*(-b)^(19/2)*c - 3072*a^6*(-b)^(21/2)*c - 61440*a*(-b)^(25/2)*c^3 - 17280*a*(-b)^(25/2)*c^4 + 46080*a*(-b)^(27/2)*c^4 + 14976*a*(-b)^(27/2)*c^5 - 18432*a*(-b)^(29/2)*c^5 - 6528*a*(-b)^(29/2)*c^6 + 3072*a*(-b)^(31/2)*c^6 + 1152*a*(-b)^(31/2)*c^7))/((-b)^(1/4)*(a^6*b^17 + 9*a^7*b^17*c + 36*a^8*b^17*c^2 + 84*a^9*b^17*c^3 + 126*a^10*b^17*c^4 + 126*a^11*b^17*c^5 + 84*a^12*b^17*c^6 + 36*a^13*b^17*c^7 + 9*a^14*b^17*c^8 + a^15*b^17*c^9))))/((-(4*a*b^3 + b^3 + 6*a^2*b^3 + 4*a^3*b^3 + a^4*b^3 + 4*a^2*b^3*c + 6*a^3*b^3*c + 4*a^4*b^3*c + a^5*b^3*c + a*b^3*c)/(a^8*b^4 - a^9*b^3))^(1/4)*((-(4*a*b^3 + b^3 + 6*a^2*b^3 + 4*a^3*b^3 + a^4*b^3 + 4*a^2*b^3*c + 6*a^3*b^3*c + 4*a^4*b^3*c + a^5*b^3*c + a*b^3*c)/(a^8*b^4 - a^9*b^3))^(3/4)*((64*(36*a^12*(-b)^(25/4) - 4*a^13*(-b)^(21/4) + 48*a^13*(-b)^(25/4) - 60*a^11*(-b)^(29/4) - 240*a^12*(-b)^(29/4) - 192*a^13*(-b)^(29/4) - 180*a^10*(-b)^(33/4) - 240*a^11*(-b)^(33/4) + 192*a^12*(-b)^(33/4) + 240*a^9*(-b)^(37/4) + 256*a^13*(-b)^(33/4) + 1200*a^10*(-b)^(37/4) + 1728*a^11*(-b)^(37/4) + 320*a^8*(-b)^(41/4) + 768*a^12*(-b)^(37/4) + 1152*a^9*(-b)^(41/4) + 1344*a^10*(-b)^(41/4) + 512*a^11*(-b)^(41/4) - 144*a^13*(-b)^(29/4)*c^2 + 912*a^12*(-b)^(33/4)*c^2 + 1344*a^13*(-b)^(33/4)*c^2 + 336*a^13*(-b)^(33/4)*c^3 - 432*a^11*(-b)^(37/4)*c^2 - 4032*a^12*(-b)^(37/4)*c^2 - 1680*a^12*(-b)^(37/4)*c^3 - 4032*a^13*(-b)^(37/4)*c^2 - 4624*a^10*(-b)^(41/4)*c^2 - 2688*a^13*(-b)^(37/4)*c^3 - 9408*a^11*(-b)^(41/4)*c^2 - 504*a^13*(-b)^(37/4)*c^4 - 336*a^11*(-b)^(41/4)*c^3 - 1344*a^12*(-b)^(41/4)*c^2 + 3584*a^9*(-b)^(45/4)*c^2 + 5376*a^12*(-b)^(41/4)*c^3 + 3584*a^13*(-b)^(41/4)*c^2 + 20160*a^10*(-b)^(45/4)*c^2 + 1848*a^12*(-b)^(41/4)*c^4 + 6720*a^13*(-b)^(41/4)*c^3 + 8848*a^10*(-b)^(45/4)*c^3 + 30912*a^11*(-b)^(45/4)*c^2 + 3360*a^13*(-b)^(41/4)*c^4 + 6720*a^8*(-b)^(49/4)*c^2 + 21504*a^11*(-b)^(45/4)*c^3 + 14336*a^12*(-b)^(45/4)*c^2 + 504*a^13*(-b)^(41/4)*c^5 + 24192*a^9*(-b)^(49/4)*c^2 + 1848*a^11*(-b)^(45/4)*c^4 + 9408*a^12*(-b)^(45/4)*c^3 - 4032*a^9*(-b)^(49/4)*c^3 + 28224*a^10*(-b)^(49/4)*c^2 - 3360*a^12*(-b)^(45/4)*c^4 - 3584*a^13*(-b)^(45/4)*c^3 - 26880*a^10*(-b)^(49/4)*c^3 + 10752*a^11*(-b)^(49/4)*c^2 - 1176*a^12*(-b)^(45/4)*c^5 - 6720*a^13*(-b)^(45/4)*c^4 - 10584*a^10*(-b)^(49/4)*c^4 - 44352*a^11*(-b)^(49/4)*c^3 - 2688*a^13*(-b)^(45/4)*c^5 - 11200*a^8*(-b)^(53/4)*c^3 - 30240*a^11*(-b)^(49/4)*c^4 - 21504*a^12*(-b)^(49/4)*c^3 - 336*a^13*(-b)^(45/4)*c^6 - 40320*a^9*(-b)^(53/4)*c^3 - 2520*a^11*(-b)^(49/4)*c^5 - 20160*a^12*(-b)^(49/4)*c^4 + 1120*a^9*(-b)^(53/4)*c^4 - 47040*a^10*(-b)^(53/4)*c^3 + 16800*a^10*(-b)^(53/4)*c^4 - 17920*a^11*(-b)^(53/4)*c^3 + 336*a^12*(-b)^(49/4)*c^6 + 4032*a^13*(-b)^(49/4)*c^5 + 8120*a^10*(-b)^(53/4)*c^5 + 33600*a^11*(-b)^(53/4)*c^4 + 1344*a^13*(-b)^(49/4)*c^6 + 11200*a^8*(-b)^(57/4)*c^4 + 26880*a^11*(-b)^(53/4)*c^5 + 17920*a^12*(-b)^(53/4)*c^4 + 144*a^13*(-b)^(49/4)*c^7 + 40320*a^9*(-b)^(57/4)*c^4 + 1680*a^11*(-b)^(53/4)*c^6 + 22848*a^12*(-b)^(53/4)*c^5 + 2240*a^9*(-b)^(57/4)*c^5 + 47040*a^10*(-b)^(57/4)*c^4 + 1344*a^12*(-b)^(53/4)*c^6 + 3584*a^13*(-b)^(53/4)*c^5 + 17920*a^11*(-b)^(57/4)*c^4 + 48*a^12*(-b)^(53/4)*c^7 - 1344*a^13*(-b)^(53/4)*c^6 - 3920*a^10*(-b)^(57/4)*c^6 - 9408*a^11*(-b)^(57/4)*c^5 - 384*a^13*(-b)^(53/4)*c^7 - 6720*a^8*(-b)^(61/4)*c^5 - 14784*a^11*(-b)^(57/4)*c^6 - 7168*a^12*(-b)^(57/4)*c^5 - 36*a^13*(-b)^(53/4)*c^8 - 24192*a^9*(-b)^(61/4)*c^5 - 528*a^11*(-b)^(57/4)*c^7 - 14784*a^12*(-b)^(57/4)*c^6 - 2688*a^9*(-b)^(61/4)*c^6 - 28224*a^10*(-b)^(61/4)*c^5 - 768*a^12*(-b)^(57/4)*c^7 - 3584*a^13*(-b)^(57/4)*c^6 - 6720*a^10*(-b)^(61/4)*c^6 - 10752*a^11*(-b)^(61/4)*c^5 - 60*a^12*(-b)^(57/4)*c^8 + 192*a^13*(-b)^(57/4)*c^7 + 1104*a^10*(-b)^(61/4)*c^7 - 4032*a^11*(-b)^(61/4)*c^6 + 48*a^13*(-b)^(57/4)*c^8 + 2240*a^8*(-b)^(65/4)*c^6 + 4608*a^11*(-b)^(61/4)*c^7 + 4*a^13*(-b)^(57/4)*c^9 + 8064*a^9*(-b)^(65/4)*c^6 + 36*a^11*(-b)^(61/4)*c^8 + 5184*a^12*(-b)^(61/4)*c^7 + 1216*a^9*(-b)^(65/4)*c^7 + 9408*a^10*(-b)^(65/4)*c^6 + 144*a^12*(-b)^(61/4)*c^8 + 1536*a^13*(-b)^(61/4)*c^7 + 3840*a^10*(-b)^(65/4)*c^7 + 3584*a^11*(-b)^(65/4)*c^6 + 12*a^12*(-b)^(61/4)*c^9 - 148*a^10*(-b)^(65/4)*c^8 + 3648*a^11*(-b)^(65/4)*c^7 - 320*a^8*(-b)^(69/4)*c^7 - 624*a^11*(-b)^(65/4)*c^8 + 1024*a^12*(-b)^(65/4)*c^7 - 1152*a^9*(-b)^(69/4)*c^7 + 12*a^11*(-b)^(65/4)*c^9 - 768*a^12*(-b)^(65/4)*c^8 - 208*a^9*(-b)^(69/4)*c^8 - 1344*a^10*(-b)^(69/4)*c^7 - 256*a^13*(-b)^(65/4)*c^8 - 720*a^10*(-b)^(69/4)*c^8 - 512*a^11*(-b)^(69/4)*c^7 + 4*a^10*(-b)^(69/4)*c^9 - 768*a^11*(-b)^(69/4)*c^8 - 256*a^12*(-b)^(69/4)*c^8 + 36*a^13*(-b)^(25/4)*c - 276*a^12*(-b)^(29/4)*c - 384*a^13*(-b)^(29/4)*c + 300*a^11*(-b)^(33/4)*c + 1536*a^12*(-b)^(33/4)*c + 1344*a^13*(-b)^(33/4)*c + 1380*a^10*(-b)^(37/4)*c + 2304*a^11*(-b)^(37/4)*c - 576*a^12*(-b)^(37/4)*c - 1472*a^9*(-b)^(41/4)*c - 1536*a^13*(-b)^(37/4)*c - 7680*a^10*(-b)^(41/4)*c - 11328*a^11*(-b)^(41/4)*c - 2240*a^8*(-b)^(45/4)*c - 5120*a^12*(-b)^(41/4)*c - 8064*a^9*(-b)^(45/4)*c - 9408*a^10*(-b)^(45/4)*c - 3584*a^11*(-b)^(45/4)*c))/(a^7*b^18 + 9*a^8*b^18*c + 36*a^9*b^18*c^2 + 84*a^10*b^18*c^3 + 126*a^11*b^18*c^4 + 126*a^12*b^18*c^5 + 84*a^13*b^18*c^6 + 36*a^14*b^18*c^7 + 9*a^15*b^18*c^8 + a^16*b^18*c^9) - ((-(4*a*b^3 + b^3 + 6*a^2*b^3 + 4*a^3*b^3 + a^4*b^3 + 4*a^2*b^3*c + 6*a^3*b^3*c + 4*a^4*b^3*c + a^5*b^3*c + a*b^3*c)/(a^8*b^4 - a^9*b^3))^(1/4)*(-(b*x - 1)/(c + x))^(1/4)*(16*a^13*(-b)^(11/2) - 80*a^12*(-b)^(13/2) - 80*a^11*(-b)^(15/2) - 128*a^13*(-b)^(13/2) + 400*a^10*(-b)^(17/2) + 128*a^12*(-b)^(15/2) + 896*a^9*(-b)^(19/2) + 1152*a^11*(-b)^(17/2) + 256*a^13*(-b)^(15/2) + 512*a^8*(-b)^(21/2) + 1920*a^10*(-b)^(19/2) + 768*a^12*(-b)^(17/2) + 1024*a^9*(-b)^(21/2) + 1024*a^11*(-b)^(19/2) + 512*a^10*(-b)^(21/2) + 448*a^13*(-b)^(15/2)*c^2 - 1344*a^12*(-b)^(17/2)*c^2 - 2624*a^11*(-b)^(19/2)*c^2 - 2688*a^13*(-b)^(17/2)*c^2 + 1088*a^10*(-b)^(21/2)*c^2 + 128*a^12*(-b)^(19/2)*c^2 - 896*a^13*(-b)^(17/2)*c^3 + 9600*a^9*(-b)^(23/2)*c^2 + 9344*a^11*(-b)^(21/2)*c^2 + 1792*a^12*(-b)^(19/2)*c^3 + 4096*a^13*(-b)^(19/2)*c^2 + 7680*a^8*(-b)^(25/2)*c^2 + 21888*a^10*(-b)^(23/2)*c^2 + 4096*a^11*(-b)^(21/2)*c^3 + 8704*a^12*(-b)^(21/2)*c^2 + 4480*a^13*(-b)^(19/2)*c^3 + 15360*a^9*(-b)^(25/2)*c^2 + 3328*a^10*(-b)^(23/2)*c^3 + 12288*a^11*(-b)^(23/2)*c^2 + 128*a^12*(-b)^(21/2)*c^3 + 1120*a^13*(-b)^(19/2)*c^4 - 8320*a^9*(-b)^(25/2)*c^3 + 7680*a^10*(-b)^(25/2)*c^2 - 4992*a^11*(-b)^(23/2)*c^3 - 1120*a^12*(-b)^(21/2)*c^4 - 6656*a^13*(-b)^(21/2)*c^3 - 10240*a^8*(-b)^(27/2)*c^3 - 21120*a^10*(-b)^(25/2)*c^3 - 2400*a^11*(-b)^(23/2)*c^4 - 9216*a^12*(-b)^(23/2)*c^3 - 4480*a^13*(-b)^(21/2)*c^4 - 20480*a^9*(-b)^(27/2)*c^3 - 7200*a^10*(-b)^(25/2)*c^4 - 12800*a^11*(-b)^(25/2)*c^3 + 1920*a^12*(-b)^(23/2)*c^4 - 896*a^13*(-b)^(21/2)*c^5 + 640*a^9*(-b)^(27/2)*c^4 - 10240*a^10*(-b)^(27/2)*c^3 - 3200*a^11*(-b)^(25/2)*c^4 + 7680*a^13*(-b)^(23/2)*c^4 + 7680*a^8*(-b)^(29/2)*c^4 + 5760*a^10*(-b)^(27/2)*c^4 - 1280*a^11*(-b)^(25/2)*c^5 + 5120*a^12*(-b)^(25/2)*c^4 + 2688*a^13*(-b)^(23/2)*c^5 + 15360*a^9*(-b)^(29/2)*c^4 + 5120*a^10*(-b)^(27/2)*c^5 + 5120*a^11*(-b)^(27/2)*c^4 - 5248*a^12*(-b)^(25/2)*c^5 + 448*a^13*(-b)^(23/2)*c^6 + 4224*a^9*(-b)^(29/2)*c^5 + 7680*a^10*(-b)^(29/2)*c^4 + 3968*a^11*(-b)^(27/2)*c^5 + 448*a^12*(-b)^(25/2)*c^6 - 6656*a^13*(-b)^(25/2)*c^5 - 3072*a^8*(-b)^(31/2)*c^5 + 5760*a^10*(-b)^(29/2)*c^5 + 2752*a^11*(-b)^(27/2)*c^6 - 2048*a^12*(-b)^(27/2)*c^5 - 896*a^13*(-b)^(25/2)*c^6 - 6144*a^9*(-b)^(31/2)*c^5 - 704*a^10*(-b)^(29/2)*c^6 + 1536*a^11*(-b)^(29/2)*c^5 + 5504*a^12*(-b)^(27/2)*c^6 - 128*a^13*(-b)^(25/2)*c^7 - 2944*a^9*(-b)^(31/2)*c^6 - 3072*a^10*(-b)^(31/2)*c^5 + 384*a^11*(-b)^(29/2)*c^6 - 256*a^12*(-b)^(27/2)*c^7 + 4096*a^13*(-b)^(27/2)*c^6 + 512*a^8*(-b)^(33/2)*c^6 - 4992*a^10*(-b)^(31/2)*c^6 - 1536*a^11*(-b)^(29/2)*c^7 + 1536*a^12*(-b)^(29/2)*c^6 + 128*a^13*(-b)^(27/2)*c^7 + 1024*a^9*(-b)^(33/2)*c^6 - 768*a^10*(-b)^(31/2)*c^7 - 2048*a^11*(-b)^(31/2)*c^6 - 2688*a^12*(-b)^(29/2)*c^7 + 16*a^13*(-b)^(27/2)*c^8 + 640*a^9*(-b)^(33/2)*c^7 + 512*a^10*(-b)^(33/2)*c^6 - 1664*a^11*(-b)^(31/2)*c^7 + 48*a^12*(-b)^(29/2)*c^8 - 1536*a^13*(-b)^(29/2)*c^7 + 1152*a^10*(-b)^(33/2)*c^7 + 304*a^11*(-b)^(31/2)*c^8 - 1024*a^12*(-b)^(31/2)*c^7 + 272*a^10*(-b)^(33/2)*c^8 + 512*a^11*(-b)^(33/2)*c^7 + 512*a^12*(-b)^(31/2)*c^8 + 512*a^11*(-b)^(33/2)*c^8 + 256*a^13*(-b)^(31/2)*c^8 + 256*a^12*(-b)^(33/2)*c^8 - 128*a^13*(-b)^(13/2)*c + 512*a^12*(-b)^(15/2)*c + 768*a^11*(-b)^(17/2)*c + 896*a^13*(-b)^(15/2)*c - 1536*a^10*(-b)^(19/2)*c - 384*a^12*(-b)^(17/2)*c - 4736*a^9*(-b)^(21/2)*c - 5504*a^11*(-b)^(19/2)*c - 1536*a^13*(-b)^(17/2)*c - 3072*a^8*(-b)^(23/2)*c - 10368*a^10*(-b)^(21/2)*c - 4096*a^12*(-b)^(19/2)*c - 6144*a^9*(-b)^(23/2)*c - 5632*a^11*(-b)^(21/2)*c - 3072*a^10*(-b)^(23/2)*c)*64i)/((-b)^(1/4)*(a^6*b^17 + 9*a^7*b^17*c + 36*a^8*b^17*c^2 + 84*a^9*b^17*c^3 + 126*a^10*b^17*c^4 + 126*a^11*b^17*c^5 + 84*a^12*b^17*c^6 + 36*a^13*b^17*c^7 + 9*a^14*b^17*c^8 + a^15*b^17*c^9)))*1i - (64*(-(b*x - 1)/(c + x))^(1/4)*(512*(-b)^(19/2) + a^5*(-b)^(9/2) + a^4*(-b)^(11/2) + 2*a^6*(-b)^(9/2) - 16*a^3*(-b)^(13/2) + 18*a^5*(-b)^(11/2) + a^7*(-b)^(9/2) - 144*a^2*(-b)^(15/2) - 176*a^4*(-b)^(13/2) + 49*a^6*(-b)^(11/2) - 576*a^3*(-b)^(15/2) - 560*a^5*(-b)^(13/2) + 48*a^7*(-b)^(11/2) + 2688*a^2*(-b)^(17/2) - 608*a^4*(-b)^(15/2) - 784*a^6*(-b)^(13/2) + 16*a^8*(-b)^(11/2) + 7680*a^3*(-b)^(17/2) + 448*a^5*(-b)^(15/2) - 512*a^7*(-b)^(13/2) + 7680*a^2*(-b)^(19/2) + 11520*a^4*(-b)^(17/2) + 1392*a^6*(-b)^(15/2) - 128*a^8*(-b)^(13/2) + 10240*a^3*(-b)^(19/2) + 9600*a^5*(-b)^(17/2) + 1024*a^7*(-b)^(15/2) + 7680*a^4*(-b)^(19/2) + 4224*a^6*(-b)^(17/2) + 256*a^8*(-b)^(15/2) + 3072*a^5*(-b)^(19/2) + 768*a^7*(-b)^(17/2) + 512*a^6*(-b)^(19/2) + 7680*(-b)^(23/2)*c^2 - 10240*(-b)^(25/2)*c^3 + 7680*(-b)^(27/2)*c^4 - 3072*(-b)^(29/2)*c^5 + 512*(-b)^(31/2)*c^6 + 384*a*(-b)^(17/2) + 3072*a*(-b)^(19/2) - 3072*(-b)^(21/2)*c + a^7*(-b)^(9/2)*c^2 - 35*a^6*(-b)^(11/2)*c^2 + 2*a^8*(-b)^(9/2)*c^2 + 265*a^5*(-b)^(13/2)*c^2 - 86*a^7*(-b)^(11/2)*c^2 + a^9*(-b)^(9/2)*c^2 - 851*a^4*(-b)^(15/2)*c^2 + 738*a^6*(-b)^(13/2)*c^2 - 10*a^7*(-b)^(11/2)*c^3 - 67*a^8*(-b)^(11/2)*c^2 + 2496*a^3*(-b)^(17/2)*c^2 - 2566*a^5*(-b)^(15/2)*c^2 + 224*a^6*(-b)^(13/2)*c^3 + 649*a^7*(-b)^(13/2)*c^2 - 20*a^8*(-b)^(11/2)*c^3 - 16*a^9*(-b)^(11/2)*c^2 - 5184*a^2*(-b)^(19/2)*c^2 + 10432*a^4*(-b)^(17/2)*c^2 - 1358*a^5*(-b)^(15/2)*c^3 - 1907*a^6*(-b)^(15/2)*c^2 + 592*a^7*(-b)^(13/2)*c^3 + 144*a^8*(-b)^(13/2)*c^2 - 10*a^9*(-b)^(11/2)*c^3 - 31104*a^3*(-b)^(19/2)*c^2 + 3784*a^4*(-b)^(17/2)*c^3 + 14912*a^5*(-b)^(17/2)*c^2 - 4364*a^6*(-b)^(15/2)*c^3 + 45*a^7*(-b)^(13/2)*c^4 + 1120*a^7*(-b)^(15/2)*c^2 + 512*a^8*(-b)^(13/2)*c^3 - 32*a^9*(-b)^(13/2)*c^2 + 1152*a^2*(-b)^(21/2)*c^2 - 7552*a^3*(-b)^(19/2)*c^3 - 74624*a^4*(-b)^(19/2)*c^2 + 14288*a^5*(-b)^(17/2)*c^3 - 771*a^6*(-b)^(15/2)*c^4 + 5824*a^6*(-b)^(17/2)*c^2 - 4974*a^7*(-b)^(15/2)*c^3 + 90*a^8*(-b)^(13/2)*c^4 + 1952*a^8*(-b)^(15/2)*c^2 + 144*a^9*(-b)^(13/2)*c^3 + 6912*a^2*(-b)^(21/2)*c^3 + 23040*a^3*(-b)^(21/2)*c^2 - 36800*a^4*(-b)^(19/2)*c^3 + 3874*a^5*(-b)^(17/2)*c^4 - 91136*a^5*(-b)^(19/2)*c^2 + 19144*a^6*(-b)^(17/2)*c^3 - 2118*a^7*(-b)^(15/2)*c^4 - 5120*a^7*(-b)^(17/2)*c^2 - 2288*a^8*(-b)^(15/2)*c^3 + 45*a^9*(-b)^(13/2)*c^4 + 640*a^9*(-b)^(15/2)*c^2 + 115200*a^2*(-b)^(23/2)*c^2 + 49536*a^3*(-b)^(21/2)*c^3 - 8750*a^4*(-b)^(19/2)*c^4 + 57600*a^4*(-b)^(21/2)*c^2 - 68032*a^5*(-b)^(19/2)*c^3 + 13444*a^6*(-b)^(17/2)*c^4 - 58944*a^6*(-b)^(19/2)*c^2 - 120*a^7*(-b)^(15/2)*c^5 + 9664*a^7*(-b)^(17/2)*c^3 - 1923*a^8*(-b)^(15/2)*c^4 - 5248*a^8*(-b)^(17/2)*c^2 - 320*a^9*(-b)^(15/2)*c^3 + 44160*a^2*(-b)^(23/2)*c^3 + 11040*a^3*(-b)^(21/2)*c^4 + 153600*a^3*(-b)^(23/2)*c^2 + 137728*a^4*(-b)^(21/2)*c^3 - 36988*a^5*(-b)^(19/2)*c^4 + 63360*a^5*(-b)^(21/2)*c^2 + 1644*a^6*(-b)^(17/2)*c^5 - 56512*a^6*(-b)^(19/2)*c^3 + 17058*a^7*(-b)^(17/2)*c^4 - 18560*a^7*(-b)^(19/2)*c^2 - 240*a^8*(-b)^(15/2)*c^5 + 128*a^8*(-b)^(17/2)*c^3 - 576*a^9*(-b)^(15/2)*c^4 - 1280*a^9*(-b)^(17/2)*c^2 - 480*a^2*(-b)^(23/2)*c^4 + 76800*a^3*(-b)^(23/2)*c^3 + 60640*a^4*(-b)^(21/2)*c^4 + 115200*a^4*(-b)^(23/2)*c^2 - 6776*a^5*(-b)^(19/2)*c^5 + 193792*a^5*(-b)^(21/2)*c^3 - 59150*a^6*(-b)^(19/2)*c^4 + 33408*a^6*(-b)^(21/2)*c^2 + 4632*a^7*(-b)^(17/2)*c^5 - 16064*a^7*(-b)^(19/2)*c^3 + 9280*a^8*(-b)^(17/2)*c^4 - 2048*a^8*(-b)^(19/2)*c^2 - 120*a^9*(-b)^(15/2)*c^5 - 896*a^9*(-b)^(17/2)*c^3 - 153600*a^2*(-b)^(25/2)*c^3 - 23040*a^3*(-b)^(23/2)*c^4 + 11620*a^4*(-b)^(21/2)*c^5 + 57600*a^4*(-b)^(23/2)*c^3 + 128864*a^5*(-b)^(21/2)*c^4 + 46080*a^5*(-b)^(23/2)*c^2 - 24752*a^6*(-b)^(19/2)*c^5 + 146688*a^6*(-b)^(21/2)*c^3 + 210*a^7*(-b)^(17/2)*c^6 - 43232*a^7*(-b)^(19/2)*c^4 + 6912*a^7*(-b)^(21/2)*c^2 + 4332*a^8*(-b)^(17/2)*c^5 + 3968*a^8*(-b)^(19/2)*c^3 + 1792*a^9*(-b)^(17/2)*c^4 - 90240*a^2*(-b)^(25/2)*c^4 - 7104*a^3*(-b)^(23/2)*c^5 - 204800*a^3*(-b)^(25/2)*c^3 - 100160*a^4*(-b)^(23/2)*c^4 + 53480*a^5*(-b)^(21/2)*c^5 + 9600*a^5*(-b)^(23/2)*c^3 - 2310*a^6*(-b)^(19/2)*c^6 + 131872*a^6*(-b)^(21/2)*c^4 + 7680*a^6*(-b)^(23/2)*c^2 - 33432*a^7*(-b)^(19/2)*c^5 + 56704*a^7*(-b)^(21/2)*c^3 + 420*a^8*(-b)^(17/2)*c^6 - 13216*a^8*(-b)^(19/2)*c^4 + 1344*a^9*(-b)^(17/2)*c^5 + 2304*a^9*(-b)^(19/2)*c^3 - 9216*a^2*(-b)^(25/2)*c^5 - 192000*a^3*(-b)^(25/2)*c^4 - 48224*a^4*(-b)^(23/2)*c^5 - 153600*a^4*(-b)^(25/2)*c^3 + 7546*a^5*(-b)^(21/2)*c^6 - 179840*a^5*(-b)^(23/2)*c^4 + 94948*a^6*(-b)^(21/2)*c^5 - 9600*a^6*(-b)^(23/2)*c^3 - 6636*a^7*(-b)^(19/2)*c^6 + 63232*a^7*(-b)^(21/2)*c^4 - 19712*a^8*(-b)^(19/2)*c^5 + 8704*a^8*(-b)^(21/2)*c^3 + 210*a^9*(-b)^(17/2)*c^6 - 896*a^9*(-b)^(19/2)*c^4 + 115200*a^2*(-b)^(27/2)*c^4 - 31104*a^3*(-b)^(25/2)*c^5 - 8750*a^4*(-b)^(23/2)*c^6 - 211200*a^4*(-b)^(25/2)*c^4 - 121120*a^5*(-b)^(23/2)*c^5 - 61440*a^5*(-b)^(25/2)*c^3 + 28756*a^6*(-b)^(21/2)*c^6 - 161760*a^6*(-b)^(23/2)*c^4 - 252*a^7*(-b)^(19/2)*c^7 + 80416*a^7*(-b)^(21/2)*c^5 - 3840*a^7*(-b)^(23/2)*c^3 - 6342*a^8*(-b)^(19/2)*c^6 + 9344*a^8*(-b)^(21/2)*c^4 - 4256*a^9*(-b)^(19/2)*c^5 + 81792*a^2*(-b)^(27/2)*c^5 - 832*a^3*(-b)^(25/2)*c^6 + 153600*a^3*(-b)^(27/2)*c^4 - 23552*a^4*(-b)^(25/2)*c^5 - 44380*a^5*(-b)^(23/2)*c^6 - 124800*a^5*(-b)^(25/2)*c^4 + 2184*a^6*(-b)^(21/2)*c^7 - 146336*a^6*(-b)^(23/2)*c^5 - 10240*a^6*(-b)^(25/2)*c^3 + 40698*a^7*(-b)^(21/2)*c^6 - 72320*a^7*(-b)^(23/2)*c^4 - 504*a^8*(-b)^(19/2)*c^7 + 31808*a^8*(-b)^(21/2)*c^5 - 2016*a^9*(-b)^(19/2)*c^6 - 1280*a^9*(-b)^(21/2)*c^4 + 10944*a^2*(-b)^(27/2)*c^6 + 184320*a^3*(-b)^(27/2)*c^5 + 8896*a^4*(-b)^(25/2)*c^6 + 115200*a^4*(-b)^(27/2)*c^4 - 5300*a^5*(-b)^(23/2)*c^7 + 32512*a^5*(-b)^(25/2)*c^5 - 86702*a^6*(-b)^(23/2)*c^6 - 36480*a^6*(-b)^(25/2)*c^4 + 6384*a^7*(-b)^(21/2)*c^7 - 87968*a^7*(-b)^(23/2)*c^5 + 25312*a^8*(-b)^(21/2)*c^6 - 12800*a^8*(-b)^(23/2)*c^4 - 252*a^9*(-b)^(19/2)*c^7 + 4480*a^9*(-b)^(21/2)*c^5 - 46080*a^2*(-b)^(29/2)*c^5 + 49536*a^3*(-b)^(27/2)*c^6 + 3016*a^4*(-b)^(25/2)*c^7 + 218880*a^4*(-b)^(27/2)*c^5 + 44864*a^5*(-b)^(25/2)*c^6 + 46080*a^5*(-b)^(27/2)*c^4 - 21128*a^6*(-b)^(23/2)*c^7 + 66048*a^6*(-b)^(25/2)*c^5 + 210*a^7*(-b)^(21/2)*c^8 - 81536*a^7*(-b)^(23/2)*c^6 - 3840*a^7*(-b)^(25/2)*c^4 + 6216*a^8*(-b)^(21/2)*c^7 - 22912*a^8*(-b)^(23/2)*c^5 + 5824*a^9*(-b)^(21/2)*c^6 - 36480*a^2*(-b)^(29/2)*c^6 + 4224*a^3*(-b)^(27/2)*c^7 - 61440*a^3*(-b)^(29/2)*c^5 + 86656*a^4*(-b)^(27/2)*c^6 + 18896*a^5*(-b)^(25/2)*c^7 + 144000*a^5*(-b)^(27/2)*c^5 - 1374*a^6*(-b)^(23/2)*c^8 + 75200*a^6*(-b)^(25/2)*c^6 + 7680*a^6*(-b)^(27/2)*c^4 - 31284*a^7*(-b)^(23/2)*c^7 + 40576*a^7*(-b)^(25/2)*c^5 + 420*a^8*(-b)^(21/2)*c^8 - 36736*a^8*(-b)^(23/2)*c^6 + 2016*a^9*(-b)^(21/2)*c^7 - 1280*a^9*(-b)^(23/2)*c^5 - 5376*a^2*(-b)^(29/2)*c^7 - 84480*a^3*(-b)^(29/2)*c^6 + 13888*a^4*(-b)^(27/2)*c^7 - 46080*a^4*(-b)^(29/2)*c^5 + 2173*a^5*(-b)^(25/2)*c^8 + 70144*a^5*(-b)^(27/2)*c^6 + 42952*a^6*(-b)^(25/2)*c^7 + 49536*a^6*(-b)^(27/2)*c^5 - 4092*a^7*(-b)^(23/2)*c^8 + 57856*a^7*(-b)^(25/2)*c^6 - 20384*a^8*(-b)^(23/2)*c^7 + 8704*a^8*(-b)^(25/2)*c^5 + 210*a^9*(-b)^(21/2)*c^8 - 6272*a^9*(-b)^(23/2)*c^6 + 7680*a^2*(-b)^(31/2)*c^6 - 26496*a^3*(-b)^(29/2)*c^7 + 301*a^4*(-b)^(27/2)*c^8 - 103680*a^4*(-b)^(29/2)*c^6 + 12608*a^5*(-b)^(27/2)*c^7 - 18432*a^5*(-b)^(29/2)*c^5 + 9274*a^6*(-b)^(25/2)*c^8 + 21696*a^6*(-b)^(27/2)*c^6 - 120*a^7*(-b)^(23/2)*c^9 + 45760*a^7*(-b)^(25/2)*c^7 + 6912*a^7*(-b)^(27/2)*c^5 - 4062*a^8*(-b)^(23/2)*c^8 + 20096*a^8*(-b)^(25/2)*c^6 - 4928*a^9*(-b)^(23/2)*c^7 + 6528*a^2*(-b)^(31/2)*c^7 - 2448*a^3*(-b)^(29/2)*c^8 + 10240*a^3*(-b)^(31/2)*c^6 - 52736*a^4*(-b)^(29/2)*c^7 - 1558*a^5*(-b)^(27/2)*c^8 - 71040*a^5*(-b)^(29/2)*c^6 + 546*a^6*(-b)^(25/2)*c^9 - 4544*a^6*(-b)^(27/2)*c^7 - 3072*a^6*(-b)^(29/2)*c^5 + 14589*a^7*(-b)^(25/2)*c^8 - 2432*a^7*(-b)^(27/2)*c^6 - 240*a^8*(-b)^(23/2)*c^9 + 23168*a^8*(-b)^(25/2)*c^7 - 1344*a^9*(-b)^(23/2)*c^8 + 2304*a^9*(-b)^(25/2)*c^6 + 1008*a^2*(-b)^(31/2)*c^8 + 15360*a^3*(-b)^(31/2)*c^7 - 10160*a^4*(-b)^(29/2)*c^8 + 7680*a^4*(-b)^(31/2)*c^6 - 384*a^5*(-b)^(27/2)*c^9 - 53504*a^5*(-b)^(29/2)*c^7 - 8099*a^6*(-b)^(27/2)*c^8 - 25728*a^6*(-b)^(29/2)*c^6 + 1668*a^7*(-b)^(25/2)*c^9 - 13760*a^7*(-b)^(27/2)*c^7 + 10048*a^8*(-b)^(25/2)*c^8 - 2048*a^8*(-b)^(27/2)*c^6 - 120*a^9*(-b)^(23/2)*c^9 + 4480*a^9*(-b)^(25/2)*c^7 + 5184*a^3*(-b)^(31/2)*c^8 - 570*a^4*(-b)^(29/2)*c^9 + 19200*a^4*(-b)^(31/2)*c^7 - 16048*a^5*(-b)^(29/2)*c^8 + 3072*a^5*(-b)^(31/2)*c^6 - 1984*a^6*(-b)^(27/2)*c^9 - 28416*a^6*(-b)^(29/2)*c^7 + 45*a^7*(-b)^(25/2)*c^10 - 11984*a^7*(-b)^(27/2)*c^8 - 3840*a^7*(-b)^(29/2)*c^6 + 1698*a^8*(-b)^(25/2)*c^9 - 7552*a^8*(-b)^(27/2)*c^7 + 2560*a^9*(-b)^(25/2)*c^8 + 480*a^3*(-b)^(31/2)*c^9 + 10912*a^4*(-b)^(31/2)*c^8 - 1732*a^5*(-b)^(29/2)*c^9 + 13440*a^5*(-b)^(31/2)*c^7 - 119*a^6*(-b)^(27/2)*c^10 - 11408*a^6*(-b)^(29/2)*c^8 + 512*a^6*(-b)^(31/2)*c^6 - 3568*a^7*(-b)^(27/2)*c^9 - 7040*a^7*(-b)^(29/2)*c^7 + 90*a^8*(-b)^(25/2)*c^10 - 7408*a^8*(-b)^(27/2)*c^8 + 576*a^9*(-b)^(25/2)*c^9 - 1280*a^9*(-b)^(27/2)*c^7 + 2160*a^4*(-b)^(31/2)*c^9 - 35*a^5*(-b)^(29/2)*c^10 + 11968*a^5*(-b)^(31/2)*c^8 - 1530*a^6*(-b)^(29/2)*c^9 + 4992*a^6*(-b)^(31/2)*c^7 - 382*a^7*(-b)^(27/2)*c^10 - 2816*a^7*(-b)^(29/2)*c^8 - 2720*a^8*(-b)^(27/2)*c^9 - 512*a^8*(-b)^(29/2)*c^7 + 45*a^9*(-b)^(25/2)*c^10 - 1664*a^9*(-b)^(27/2)*c^8 + 129*a^4*(-b)^(31/2)*c^10 + 3856*a^5*(-b)^(31/2)*c^9 + 10*a^6*(-b)^(29/2)*c^10 + 7152*a^6*(-b)^(31/2)*c^8 - 10*a^7*(-b)^(27/2)*c^11 + 112*a^7*(-b)^(29/2)*c^9 + 768*a^7*(-b)^(31/2)*c^7 - 407*a^8*(-b)^(27/2)*c^10 + 512*a^8*(-b)^(29/2)*c^8 - 752*a^9*(-b)^(27/2)*c^9 + 482*a^5*(-b)^(31/2)*c^10 + 8*a^6*(-b)^(29/2)*c^11 + 3408*a^6*(-b)^(31/2)*c^9 + 221*a^7*(-b)^(29/2)*c^10 + 2176*a^7*(-b)^(31/2)*c^8 - 20*a^8*(-b)^(27/2)*c^11 + 736*a^8*(-b)^(29/2)*c^9 - 144*a^9*(-b)^(27/2)*c^10 + 256*a^9*(-b)^(29/2)*c^8 + 18*a^5*(-b)^(31/2)*c^11 + 673*a^6*(-b)^(31/2)*c^10 + 32*a^7*(-b)^(29/2)*c^11 + 1488*a^7*(-b)^(31/2)*c^9 + 272*a^8*(-b)^(29/2)*c^10 + 256*a^8*(-b)^(31/2)*c^8 - 10*a^9*(-b)^(27/2)*c^11 + 256*a^9*(-b)^(29/2)*c^9 + 52*a^6*(-b)^(31/2)*c^11 + a^7*(-b)^(29/2)*c^12 + 416*a^7*(-b)^(31/2)*c^10 + 40*a^8*(-b)^(29/2)*c^11 + 256*a^8*(-b)^(31/2)*c^9 + 96*a^9*(-b)^(29/2)*c^10 + a^6*(-b)^(31/2)*c^12 + 50*a^7*(-b)^(31/2)*c^11 + 2*a^8*(-b)^(29/2)*c^12 + 96*a^8*(-b)^(31/2)*c^10 + 16*a^9*(-b)^(29/2)*c^11 + 2*a^7*(-b)^(31/2)*c^12 + 16*a^8*(-b)^(31/2)*c^11 + a^9*(-b)^(29/2)*c^12 + a^8*(-b)^(31/2)*c^12 - 1152*a*(-b)^(19/2)*c - 18432*a*(-b)^(21/2)*c + 2*a^6*(-b)^(9/2)*c - 24*a^5*(-b)^(11/2)*c + 4*a^7*(-b)^(9/2)*c + 70*a^4*(-b)^(13/2)*c - 48*a^6*(-b)^(11/2)*c + 2*a^8*(-b)^(9/2)*c - 288*a^3*(-b)^(15/2)*c + 60*a^5*(-b)^(13/2)*c - 8*a^7*(-b)^(11/2)*c + 1536*a^2*(-b)^(17/2)*c - 656*a^4*(-b)^(15/2)*c - 378*a^6*(-b)^(13/2)*c + 32*a^8*(-b)^(11/2)*c + 8064*a^3*(-b)^(17/2)*c + 656*a^5*(-b)^(15/2)*c - 784*a^7*(-b)^(13/2)*c + 16*a^9*(-b)^(11/2)*c - 9600*a^2*(-b)^(19/2)*c + 16384*a^4*(-b)^(17/2)*c + 3280*a^6*(-b)^(15/2)*c - 544*a^8*(-b)^(13/2)*c - 30720*a^3*(-b)^(19/2)*c + 15616*a^5*(-b)^(17/2)*c + 3664*a^7*(-b)^(15/2)*c - 128*a^9*(-b)^(13/2)*c - 1152*a*(-b)^(21/2)*c^2 - 46080*a^2*(-b)^(21/2)*c - 49920*a^4*(-b)^(19/2)*c + 6144*a^6*(-b)^(17/2)*c + 1664*a^8*(-b)^(15/2)*c - 61440*a^3*(-b)^(21/2)*c - 44160*a^5*(-b)^(19/2)*c - 128*a^7*(-b)^(17/2)*c + 256*a^9*(-b)^(15/2)*c + 46080*a*(-b)^(23/2)*c^2 - 46080*a^4*(-b)^(21/2)*c - 20352*a^6*(-b)^(19/2)*c - 512*a^8*(-b)^(17/2)*c + 9600*a*(-b)^(23/2)*c^3 - 18432*a^5*(-b)^(21/2)*c - 3840*a^7*(-b)^(19/2)*c - 3072*a^6*(-b)^(21/2)*c - 61440*a*(-b)^(25/2)*c^3 - 17280*a*(-b)^(25/2)*c^4 + 46080*a*(-b)^(27/2)*c^4 + 14976*a*(-b)^(27/2)*c^5 - 18432*a*(-b)^(29/2)*c^5 - 6528*a*(-b)^(29/2)*c^6 + 3072*a*(-b)^(31/2)*c^6 + 1152*a*(-b)^(31/2)*c^7))/((-b)^(1/4)*(a^6*b^17 + 9*a^7*b^17*c + 36*a^8*b^17*c^2 + 84*a^9*b^17*c^3 + 126*a^10*b^17*c^4 + 126*a^11*b^17*c^5 + 84*a^12*b^17*c^6 + 36*a^13*b^17*c^7 + 9*a^14*b^17*c^8 + a^15*b^17*c^9)))*1i - (128*(5*a^4*(-b)^(21/4) - 320*(-b)^(37/4) + 19*a^5*(-b)^(21/4) + 27*a^6*(-b)^(21/4) - 55*a^3*(-b)^(25/4) + 17*a^7*(-b)^(21/4) - 269*a^4*(-b)^(25/4) + 4*a^8*(-b)^(21/4) - 525*a^5*(-b)^(25/4) + 180*a^2*(-b)^(29/4) - 511*a^6*(-b)^(25/4) + 1104*a^3*(-b)^(29/4) - 248*a^7*(-b)^(25/4) + 2808*a^4*(-b)^(29/4) - 48*a^8*(-b)^(25/4) + 3792*a^5*(-b)^(29/4) - 784*a^2*(-b)^(33/4) + 2868*a^6*(-b)^(29/4) - 2976*a^3*(-b)^(33/4) + 1152*a^7*(-b)^(29/4) - 5920*a^4*(-b)^(33/4) + 192*a^8*(-b)^(29/4) - 6800*a^5*(-b)^(33/4) - 6336*a^2*(-b)^(37/4) - 4560*a^6*(-b)^(33/4) - 10240*a^3*(-b)^(37/4) - 1664*a^7*(-b)^(33/4) - 9920*a^4*(-b)^(37/4) - 256*a^8*(-b)^(33/4) - 5760*a^5*(-b)^(37/4) - 1856*a^6*(-b)^(37/4) - 256*a^7*(-b)^(37/4) - 6720*(-b)^(45/4)*c^2 + 11200*(-b)^(49/4)*c^3 - 11200*(-b)^(53/4)*c^4 + 6720*(-b)^(57/4)*c^5 - 2240*(-b)^(61/4)*c^6 + 320*(-b)^(65/4)*c^7 - 80*a*(-b)^(33/4) - 2176*a*(-b)^(37/4) + 2240*(-b)^(41/4)*c + a^6*(-b)^(21/4)*c^2 + 3*a^7*(-b)^(21/4)*c^2 + 3*a^8*(-b)^(21/4)*c^2 - 71*a^5*(-b)^(25/4)*c^2 + a^9*(-b)^(21/4)*c^2 - 265*a^6*(-b)^(25/4)*c^2 - 10*a^6*(-b)^(25/4)*c^3 - 369*a^7*(-b)^(25/4)*c^2 + 849*a^4*(-b)^(29/4)*c^2 - 30*a^7*(-b)^(25/4)*c^3 - 227*a^8*(-b)^(25/4)*c^2 + 3851*a^5*(-b)^(29/4)*c^2 - 30*a^8*(-b)^(25/4)*c^3 - 52*a^9*(-b)^(25/4)*c^2 + 368*a^5*(-b)^(29/4)*c^3 + 6939*a^6*(-b)^(29/4)*c^2 - 10*a^9*(-b)^(25/4)*c^3 - 3607*a^3*(-b)^(33/4)*c^2 + 1392*a^6*(-b)^(29/4)*c^3 + 6201*a^7*(-b)^(29/4)*c^2 - 19689*a^4*(-b)^(33/4)*c^2 + 45*a^6*(-b)^(29/4)*c^4 + 1968*a^7*(-b)^(29/4)*c^3 + 2744*a^8*(-b)^(29/4)*c^2 - 3198*a^4*(-b)^(33/4)*c^3 - 44241*a^5*(-b)^(33/4)*c^2 + 135*a^7*(-b)^(29/4)*c^4 + 1232*a^8*(-b)^(29/4)*c^3 + 480*a^9*(-b)^(29/4)*c^2 + 4880*a^2*(-b)^(37/4)*c^2 - 14874*a^5*(-b)^(33/4)*c^3 - 52259*a^6*(-b)^(33/4)*c^2 + 135*a^8*(-b)^(29/4)*c^4 + 288*a^9*(-b)^(29/4)*c^3 + 33088*a^3*(-b)^(37/4)*c^2 - 1107*a^5*(-b)^(33/4)*c^4 - 27546*a^6*(-b)^(33/4)*c^3 - 34116*a^7*(-b)^(33/4)*c^2 + 45*a^9*(-b)^(29/4)*c^4 + 9976*a^3*(-b)^(37/4)*c^3 + 93600*a^4*(-b)^(37/4)*c^2 - 4233*a^6*(-b)^(33/4)*c^4 - 25374*a^7*(-b)^(33/4)*c^3 - 11616*a^8*(-b)^(33/4)*c^2 + 56280*a^4*(-b)^(37/4)*c^3 + 142912*a^5*(-b)^(37/4)*c^2 - 120*a^6*(-b)^(33/4)*c^5 - 6057*a^7*(-b)^(33/4)*c^4 - 11616*a^8*(-b)^(33/4)*c^3 - 1600*a^9*(-b)^(33/4)*c^2 + 11200*a^2*(-b)^(41/4)*c^2 + 7290*a^4*(-b)^(37/4)*c^4 + 131064*a^5*(-b)^(37/4)*c^3 + 126608*a^6*(-b)^(37/4)*c^2 - 360*a^7*(-b)^(33/4)*c^5 - 3843*a^8*(-b)^(33/4)*c^4 - 2112*a^9*(-b)^(33/4)*c^3 - 7952*a^2*(-b)^(41/4)*c^3 + 12096*a^3*(-b)^(41/4)*c^2 + 34566*a^5*(-b)^(37/4)*c^4 + 161096*a^6*(-b)^(37/4)*c^3 + 64512*a^7*(-b)^(37/4)*c^2 - 360*a^8*(-b)^(33/4)*c^5 - 912*a^9*(-b)^(33/4)*c^4 - 59136*a^3*(-b)^(41/4)*c^3 - 13440*a^4*(-b)^(41/4)*c^2 + 2148*a^5*(-b)^(37/4)*c^5 + 65334*a^6*(-b)^(37/4)*c^4 + 110064*a^7*(-b)^(37/4)*c^3 + 17216*a^8*(-b)^(37/4)*c^2 - 120*a^9*(-b)^(33/4)*c^5 - 16590*a^3*(-b)^(41/4)*c^4 - 180768*a^4*(-b)^(41/4)*c^3 - 44800*a^5*(-b)^(41/4)*c^2 + 8292*a^6*(-b)^(37/4)*c^5 + 61506*a^7*(-b)^(37/4)*c^4 + 39552*a^8*(-b)^(37/4)*c^3 + 1792*a^9*(-b)^(37/4)*c^2 - 133056*a^2*(-b)^(45/4)*c^2 - 96810*a^4*(-b)^(41/4)*c^4 - 296128*a^5*(-b)^(41/4)*c^3 + 210*a^6*(-b)^(37/4)*c^6 - 44352*a^6*(-b)^(41/4)*c^2 + 11988*a^7*(-b)^(37/4)*c^5 + 28824*a^8*(-b)^(37/4)*c^4 + 5824*a^9*(-b)^(37/4)*c^3 - 55552*a^2*(-b)^(45/4)*c^3 - 215040*a^3*(-b)^(45/4)*c^2 - 10752*a^4*(-b)^(41/4)*c^5 - 233226*a^5*(-b)^(41/4)*c^4 - 281232*a^6*(-b)^(41/4)*c^3 + 630*a^7*(-b)^(37/4)*c^6 - 20160*a^7*(-b)^(41/4)*c^2 + 7692*a^8*(-b)^(37/4)*c^5 + 5376*a^9*(-b)^(37/4)*c^4 + 5208*a^2*(-b)^(45/4)*c^4 - 119616*a^3*(-b)^(45/4)*c^3 - 208320*a^4*(-b)^(45/4)*c^2 - 51912*a^5*(-b)^(41/4)*c^5 - 296814*a^6*(-b)^(41/4)*c^4 - 154560*a^7*(-b)^(41/4)*c^3 + 630*a^8*(-b)^(37/4)*c^6 - 3584*a^8*(-b)^(41/4)*c^2 + 1848*a^9*(-b)^(37/4)*c^5 + 51296*a^3*(-b)^(45/4)*c^4 - 125440*a^4*(-b)^(45/4)*c^3 - 2814*a^5*(-b)^(41/4)*c^6 - 120960*a^5*(-b)^(45/4)*c^2 - 99960*a^6*(-b)^(41/4)*c^5 - 210336*a^7*(-b)^(41/4)*c^4 - 45248*a^8*(-b)^(41/4)*c^3 + 210*a^9*(-b)^(37/4)*c^6 + 16940*a^3*(-b)^(45/4)*c^5 + 185808*a^4*(-b)^(45/4)*c^4 - 56000*a^5*(-b)^(45/4)*c^3 - 10962*a^6*(-b)^(41/4)*c^6 - 38976*a^6*(-b)^(45/4)*c^2 - 95928*a^7*(-b)^(41/4)*c^5 - 78624*a^8*(-b)^(41/4)*c^4 - 5376*a^9*(-b)^(41/4)*c^3 + 221760*a^2*(-b)^(49/4)*c^3 + 103404*a^4*(-b)^(45/4)*c^5 + 343392*a^5*(-b)^(45/4)*c^4 - 252*a^6*(-b)^(41/4)*c^7 + 5376*a^6*(-b)^(45/4)*c^3 - 16002*a^7*(-b)^(41/4)*c^6 - 5376*a^7*(-b)^(45/4)*c^2 - 45864*a^8*(-b)^(41/4)*c^5 - 12096*a^9*(-b)^(41/4)*c^4 + 110880*a^2*(-b)^(49/4)*c^4 + 358400*a^3*(-b)^(49/4)*c^3 + 10458*a^4*(-b)^(45/4)*c^6 + 259644*a^5*(-b)^(45/4)*c^5 + 359128*a^6*(-b)^(45/4)*c^4 - 756*a^7*(-b)^(41/4)*c^7 + 13888*a^7*(-b)^(45/4)*c^3 - 10374*a^8*(-b)^(41/4)*c^6 - 8736*a^9*(-b)^(41/4)*c^5 + 3080*a^2*(-b)^(49/4)*c^5 + 268800*a^3*(-b)^(49/4)*c^4 + 347200*a^4*(-b)^(49/4)*c^3 + 51534*a^5*(-b)^(45/4)*c^6 + 343588*a^6*(-b)^(45/4)*c^5 + 215040*a^7*(-b)^(45/4)*c^4 - 756*a^8*(-b)^(41/4)*c^7 + 3584*a^8*(-b)^(45/4)*c^3 - 2520*a^9*(-b)^(41/4)*c^6 - 3584*a^3*(-b)^(49/4)*c^5 + 347200*a^4*(-b)^(49/4)*c^4 + 2520*a^5*(-b)^(45/4)*c^7 + 201600*a^5*(-b)^(49/4)*c^3 + 101262*a^6*(-b)^(45/4)*c^6 + 252840*a^7*(-b)^(45/4)*c^5 + 68544*a^8*(-b)^(45/4)*c^4 - 252*a^9*(-b)^(41/4)*c^7 - 9926*a^3*(-b)^(49/4)*c^6 - 71568*a^4*(-b)^(49/4)*c^5 + 252000*a^5*(-b)^(49/4)*c^4 + 9912*a^6*(-b)^(45/4)*c^7 + 64960*a^6*(-b)^(49/4)*c^3 + 99162*a^7*(-b)^(45/4)*c^6 + 98112*a^8*(-b)^(45/4)*c^5 + 8960*a^9*(-b)^(45/4)*c^4 - 221760*a^2*(-b)^(53/4)*c^4 - 65898*a^4*(-b)^(49/4)*c^6 - 197792*a^5*(-b)^(49/4)*c^5 + 210*a^6*(-b)^(45/4)*c^8 + 97440*a^6*(-b)^(49/4)*c^4 + 14616*a^7*(-b)^(45/4)*c^7 + 8960*a^7*(-b)^(49/4)*c^3 + 48384*a^8*(-b)^(45/4)*c^6 + 15680*a^9*(-b)^(45/4)*c^5 - 121856*a^2*(-b)^(53/4)*c^5 - 358400*a^3*(-b)^(53/4)*c^4 - 6564*a^4*(-b)^(49/4)*c^7 - 177114*a^5*(-b)^(49/4)*c^6 - 254968*a^6*(-b)^(49/4)*c^5 + 630*a^7*(-b)^(45/4)*c^8 + 15680*a^7*(-b)^(49/4)*c^4 + 9576*a^8*(-b)^(45/4)*c^7 + 9408*a^9*(-b)^(45/4)*c^6 - 8624*a^2*(-b)^(53/4)*c^6 - 310464*a^3*(-b)^(53/4)*c^5 - 347200*a^4*(-b)^(53/4)*c^4 - 33276*a^5*(-b)^(49/4)*c^7 - 248206*a^6*(-b)^(49/4)*c^6 - 175392*a^7*(-b)^(49/4)*c^5 + 630*a^8*(-b)^(45/4)*c^8 + 2352*a^9*(-b)^(45/4)*c^7 - 36288*a^3*(-b)^(53/4)*c^6 - 430080*a^4*(-b)^(53/4)*c^5 - 1518*a^5*(-b)^(49/4)*c^8 - 201600*a^5*(-b)^(53/4)*c^4 - 67164*a^6*(-b)^(49/4)*c^7 - 192024*a^7*(-b)^(49/4)*c^6 - 62272*a^8*(-b)^(49/4)*c^5 + 210*a^9*(-b)^(45/4)*c^8 + 2232*a^3*(-b)^(53/4)*c^7 - 47712*a^4*(-b)^(53/4)*c^6 - 347200*a^5*(-b)^(53/4)*c^5 - 6042*a^6*(-b)^(49/4)*c^8 - 64960*a^6*(-b)^(53/4)*c^4 - 67476*a^7*(-b)^(49/4)*c^7 - 77952*a^8*(-b)^(49/4)*c^6 - 8960*a^9*(-b)^(49/4)*c^5 + 133056*a^2*(-b)^(57/4)*c^5 + 20184*a^4*(-b)^(53/4)*c^7 + 4928*a^5*(-b)^(53/4)*c^6 - 120*a^6*(-b)^(49/4)*c^9 - 161280*a^6*(-b)^(53/4)*c^5 - 9018*a^7*(-b)^(49/4)*c^8 - 8960*a^7*(-b)^(53/4)*c^4 - 33744*a^8*(-b)^(49/4)*c^7 - 12992*a^9*(-b)^(49/4)*c^6 + 77504*a^2*(-b)^(57/4)*c^6 + 215040*a^3*(-b)^(57/4)*c^5 + 2433*a^4*(-b)^(53/4)*c^8 + 65016*a^5*(-b)^(53/4)*c^7 + 72912*a^6*(-b)^(53/4)*c^6 - 360*a^7*(-b)^(49/4)*c^9 - 38976*a^7*(-b)^(53/4)*c^5 - 5982*a^8*(-b)^(49/4)*c^8 - 6720*a^9*(-b)^(49/4)*c^7 + 6960*a^2*(-b)^(57/4)*c^7 + 202944*a^3*(-b)^(57/4)*c^6 + 208320*a^4*(-b)^(57/4)*c^5 + 12999*a^5*(-b)^(53/4)*c^8 + 102984*a^6*(-b)^(53/4)*c^7 + 75264*a^7*(-b)^(53/4)*c^6 - 360*a^8*(-b)^(49/4)*c^9 - 3584*a^8*(-b)^(53/4)*c^5 - 1488*a^9*(-b)^(49/4)*c^8 + 35072*a^3*(-b)^(57/4)*c^7 + 291200*a^4*(-b)^(57/4)*c^6 + 582*a^5*(-b)^(53/4)*c^9 + 120960*a^5*(-b)^(57/4)*c^5 + 27471*a^6*(-b)^(53/4)*c^8 + 87216*a^7*(-b)^(53/4)*c^7 + 32704*a^8*(-b)^(53/4)*c^6 - 120*a^9*(-b)^(49/4)*c^9 + 869*a^3*(-b)^(57/4)*c^8 + 69600*a^4*(-b)^(57/4)*c^7 + 246400*a^5*(-b)^(57/4)*c^6 + 2358*a^6*(-b)^(53/4)*c^9 + 38976*a^6*(-b)^(57/4)*c^5 + 28749*a^7*(-b)^(53/4)*c^8 + 38016*a^8*(-b)^(53/4)*c^7 + 5376*a^9*(-b)^(53/4)*c^6 - 44352*a^2*(-b)^(61/4)*c^6 + 1335*a^4*(-b)^(57/4)*c^8 + 65088*a^5*(-b)^(57/4)*c^7 + 45*a^6*(-b)^(53/4)*c^10 + 122304*a^6*(-b)^(57/4)*c^6 + 3582*a^7*(-b)^(53/4)*c^9 + 5376*a^7*(-b)^(57/4)*c^5 + 14916*a^8*(-b)^(53/4)*c^8 + 6720*a^9*(-b)^(53/4)*c^7 - 26880*a^2*(-b)^(61/4)*c^7 - 71680*a^3*(-b)^(61/4)*c^6 - 380*a^4*(-b)^(57/4)*c^9 - 5289*a^5*(-b)^(57/4)*c^8 + 22192*a^6*(-b)^(57/4)*c^7 + 135*a^7*(-b)^(53/4)*c^10 + 32704*a^7*(-b)^(57/4)*c^6 + 2418*a^8*(-b)^(53/4)*c^9 + 3072*a^9*(-b)^(53/4)*c^8 - 2668*a^2*(-b)^(61/4)*c^8 - 71616*a^3*(-b)^(61/4)*c^7 - 69440*a^4*(-b)^(61/4)*c^6 - 2416*a^5*(-b)^(57/4)*c^9 - 17171*a^6*(-b)^(57/4)*c^8 - 7872*a^7*(-b)^(57/4)*c^7 + 135*a^8*(-b)^(53/4)*c^10 + 3584*a^8*(-b)^(57/4)*c^6 + 612*a^9*(-b)^(53/4)*c^9 - 14384*a^3*(-b)^(61/4)*c^8 - 104960*a^4*(-b)^(61/4)*c^7 - 123*a^5*(-b)^(57/4)*c^10 - 40320*a^5*(-b)^(61/4)*c^6 - 5784*a^6*(-b)^(57/4)*c^9 - 19464*a^7*(-b)^(57/4)*c^8 - 8256*a^8*(-b)^(57/4)*c^7 + 45*a^9*(-b)^(53/4)*c^10 - 670*a^3*(-b)^(61/4)*c^9 - 31752*a^4*(-b)^(61/4)*c^8 - 91200*a^5*(-b)^(61/4)*c^7 - 517*a^6*(-b)^(57/4)*c^10 - 12992*a^6*(-b)^(61/4)*c^6 - 6656*a^7*(-b)^(57/4)*c^9 - 10032*a^8*(-b)^(57/4)*c^8 - 1792*a^9*(-b)^(57/4)*c^7 + 6336*a^2*(-b)^(65/4)*c^7 - 2830*a^4*(-b)^(61/4)*c^9 - 36272*a^5*(-b)^(61/4)*c^8 - 10*a^6*(-b)^(57/4)*c^11 - 46848*a^6*(-b)^(61/4)*c^7 - 813*a^7*(-b)^(57/4)*c^10 - 1792*a^7*(-b)^(61/4)*c^6 - 3724*a^8*(-b)^(57/4)*c^9 - 1984*a^9*(-b)^(57/4)*c^8 + 3952*a^2*(-b)^(65/4)*c^8 + 10240*a^3*(-b)^(65/4)*c^7 - 43*a^4*(-b)^(61/4)*c^10 - 4374*a^5*(-b)^(61/4)*c^9 - 21868*a^6*(-b)^(61/4)*c^8 - 30*a^7*(-b)^(57/4)*c^11 - 13120*a^7*(-b)^(61/4)*c^7 - 567*a^8*(-b)^(57/4)*c^10 - 816*a^9*(-b)^(57/4)*c^9 + 412*a^2*(-b)^(65/4)*c^9 + 10656*a^3*(-b)^(65/4)*c^8 + 9920*a^4*(-b)^(65/4)*c^7 - 57*a^5*(-b)^(61/4)*c^10 - 2586*a^6*(-b)^(61/4)*c^9 - 5760*a^7*(-b)^(61/4)*c^8 - 30*a^8*(-b)^(57/4)*c^11 - 1536*a^8*(-b)^(61/4)*c^7 - 148*a^9*(-b)^(57/4)*c^10 + 2304*a^3*(-b)^(65/4)*c^9 + 15840*a^4*(-b)^(65/4)*c^8 + 8*a^5*(-b)^(61/4)*c^11 + 5760*a^5*(-b)^(65/4)*c^7 + 183*a^6*(-b)^(61/4)*c^10 + 236*a^7*(-b)^(61/4)*c^9 + 128*a^8*(-b)^(61/4)*c^8 - 10*a^9*(-b)^(57/4)*c^11 + 125*a^3*(-b)^(65/4)*c^10 + 5352*a^4*(-b)^(65/4)*c^9 + 14000*a^5*(-b)^(65/4)*c^8 + 40*a^6*(-b)^(61/4)*c^11 + 1856*a^6*(-b)^(65/4)*c^7 + 461*a^7*(-b)^(61/4)*c^10 + 864*a^8*(-b)^(61/4)*c^9 + 256*a^9*(-b)^(61/4)*c^8 + 595*a^4*(-b)^(65/4)*c^10 + 6608*a^5*(-b)^(65/4)*c^9 + a^6*(-b)^(61/4)*c^12 + 7344*a^6*(-b)^(65/4)*c^8 + 72*a^7*(-b)^(61/4)*c^11 + 256*a^7*(-b)^(65/4)*c^7 + 360*a^8*(-b)^(61/4)*c^10 + 256*a^9*(-b)^(61/4)*c^9 + 18*a^4*(-b)^(65/4)*c^11 + 1131*a^5*(-b)^(65/4)*c^10 + 4572*a^6*(-b)^(65/4)*c^9 + 3*a^7*(-b)^(61/4)*c^12 + 2112*a^7*(-b)^(65/4)*c^8 + 56*a^8*(-b)^(61/4)*c^11 + 96*a^9*(-b)^(61/4)*c^10 + 70*a^5*(-b)^(65/4)*c^11 + 1073*a^6*(-b)^(65/4)*c^10 + 1680*a^7*(-b)^(65/4)*c^9 + 3*a^8*(-b)^(61/4)*c^12 + 256*a^8*(-b)^(65/4)*c^8 + 16*a^9*(-b)^(61/4)*c^11 + a^5*(-b)^(65/4)*c^12 + 102*a^6*(-b)^(65/4)*c^11 + 508*a^7*(-b)^(65/4)*c^10 + 256*a^8*(-b)^(65/4)*c^9 + a^9*(-b)^(61/4)*c^12 + 3*a^6*(-b)^(65/4)*c^12 + 66*a^7*(-b)^(65/4)*c^11 + 96*a^8*(-b)^(65/4)*c^10 + 3*a^7*(-b)^(65/4)*c^12 + 16*a^8*(-b)^(65/4)*c^11 + a^8*(-b)^(65/4)*c^12 - 64*a*(-b)^(37/4)*c + 15232*a*(-b)^(41/4)*c + 6*a^5*(-b)^(21/4)*c + 22*a^6*(-b)^(21/4)*c + 30*a^7*(-b)^(21/4)*c - 116*a^4*(-b)^(25/4)*c + 18*a^8*(-b)^(21/4)*c - 504*a^5*(-b)^(25/4)*c + 4*a^9*(-b)^(21/4)*c - 864*a^6*(-b)^(25/4)*c + 706*a^3*(-b)^(29/4)*c - 728*a^7*(-b)^(25/4)*c + 3698*a^4*(-b)^(29/4)*c - 300*a^8*(-b)^(25/4)*c + 7914*a^5*(-b)^(29/4)*c - 48*a^9*(-b)^(25/4)*c - 1476*a^2*(-b)^(33/4)*c + 8806*a^6*(-b)^(29/4)*c - 9472*a^3*(-b)^(33/4)*c + 5324*a^7*(-b)^(29/4)*c - 25368*a^4*(-b)^(33/4)*c + 1632*a^8*(-b)^(29/4)*c - 36528*a^5*(-b)^(33/4)*c + 192*a^9*(-b)^(29/4)*c + 1536*a^2*(-b)^(37/4)*c - 30212*a^6*(-b)^(33/4)*c + 10176*a^3*(-b)^(37/4)*c - 14064*a^7*(-b)^(33/4)*c + 25600*a^4*(-b)^(37/4)*c - 3264*a^8*(-b)^(33/4)*c + 33600*a^5*(-b)^(37/4)*c - 256*a^9*(-b)^(33/4)*c + 2688*a*(-b)^(41/4)*c^2 + 44352*a^2*(-b)^(41/4)*c + 24576*a^6*(-b)^(37/4)*c + 71680*a^3*(-b)^(41/4)*c + 9536*a^7*(-b)^(37/4)*c + 69440*a^4*(-b)^(41/4)*c + 1536*a^8*(-b)^(37/4)*c + 40320*a^5*(-b)^(41/4)*c - 45696*a*(-b)^(45/4)*c^2 + 12992*a^6*(-b)^(41/4)*c - 10304*a*(-b)^(45/4)*c^3 + 1792*a^7*(-b)^(41/4)*c + 76160*a*(-b)^(49/4)*c^3 + 19040*a*(-b)^(49/4)*c^4 - 76160*a*(-b)^(53/4)*c^4 - 20160*a*(-b)^(53/4)*c^5 + 45696*a*(-b)^(57/4)*c^5 + 12544*a*(-b)^(57/4)*c^6 - 15232*a*(-b)^(61/4)*c^6 - 4288*a*(-b)^(61/4)*c^7 + 2176*a*(-b)^(65/4)*c^7 + 624*a*(-b)^(65/4)*c^8))/(a^7*b^18 + 9*a^8*b^18*c + 36*a^9*b^18*c^2 + 84*a^10*b^18*c^3 + 126*a^11*b^18*c^4 + 126*a^12*b^18*c^5 + 84*a^13*b^18*c^6 + 36*a^14*b^18*c^7 + 9*a^15*b^18*c^8 + a^16*b^18*c^9) + (-(4*a*b^3 + b^3 + 6*a^2*b^3 + 4*a^3*b^3 + a^4*b^3 + 4*a^2*b^3*c + 6*a^3*b^3*c + 4*a^4*b^3*c + a^5*b^3*c + a*b^3*c)/(a^8*b^4 - a^9*b^3))^(1/4)*((-(4*a*b^3 + b^3 + 6*a^2*b^3 + 4*a^3*b^3 + a^4*b^3 + 4*a^2*b^3*c + 6*a^3*b^3*c + 4*a^4*b^3*c + a^5*b^3*c + a*b^3*c)/(a^8*b^4 - a^9*b^3))^(3/4)*((64*(36*a^12*(-b)^(25/4) - 4*a^13*(-b)^(21/4) + 48*a^13*(-b)^(25/4) - 60*a^11*(-b)^(29/4) - 240*a^12*(-b)^(29/4) - 192*a^13*(-b)^(29/4) - 180*a^10*(-b)^(33/4) - 240*a^11*(-b)^(33/4) + 192*a^12*(-b)^(33/4) + 240*a^9*(-b)^(37/4) + 256*a^13*(-b)^(33/4) + 1200*a^10*(-b)^(37/4) + 1728*a^11*(-b)^(37/4) + 320*a^8*(-b)^(41/4) + 768*a^12*(-b)^(37/4) + 1152*a^9*(-b)^(41/4) + 1344*a^10*(-b)^(41/4) + 512*a^11*(-b)^(41/4) - 144*a^13*(-b)^(29/4)*c^2 + 912*a^12*(-b)^(33/4)*c^2 + 1344*a^13*(-b)^(33/4)*c^2 + 336*a^13*(-b)^(33/4)*c^3 - 432*a^11*(-b)^(37/4)*c^2 - 4032*a^12*(-b)^(37/4)*c^2 - 1680*a^12*(-b)^(37/4)*c^3 - 4032*a^13*(-b)^(37/4)*c^2 - 4624*a^10*(-b)^(41/4)*c^2 - 2688*a^13*(-b)^(37/4)*c^3 - 9408*a^11*(-b)^(41/4)*c^2 - 504*a^13*(-b)^(37/4)*c^4 - 336*a^11*(-b)^(41/4)*c^3 - 1344*a^12*(-b)^(41/4)*c^2 + 3584*a^9*(-b)^(45/4)*c^2 + 5376*a^12*(-b)^(41/4)*c^3 + 3584*a^13*(-b)^(41/4)*c^2 + 20160*a^10*(-b)^(45/4)*c^2 + 1848*a^12*(-b)^(41/4)*c^4 + 6720*a^13*(-b)^(41/4)*c^3 + 8848*a^10*(-b)^(45/4)*c^3 + 30912*a^11*(-b)^(45/4)*c^2 + 3360*a^13*(-b)^(41/4)*c^4 + 6720*a^8*(-b)^(49/4)*c^2 + 21504*a^11*(-b)^(45/4)*c^3 + 14336*a^12*(-b)^(45/4)*c^2 + 504*a^13*(-b)^(41/4)*c^5 + 24192*a^9*(-b)^(49/4)*c^2 + 1848*a^11*(-b)^(45/4)*c^4 + 9408*a^12*(-b)^(45/4)*c^3 - 4032*a^9*(-b)^(49/4)*c^3 + 28224*a^10*(-b)^(49/4)*c^2 - 3360*a^12*(-b)^(45/4)*c^4 - 3584*a^13*(-b)^(45/4)*c^3 - 26880*a^10*(-b)^(49/4)*c^3 + 10752*a^11*(-b)^(49/4)*c^2 - 1176*a^12*(-b)^(45/4)*c^5 - 6720*a^13*(-b)^(45/4)*c^4 - 10584*a^10*(-b)^(49/4)*c^4 - 44352*a^11*(-b)^(49/4)*c^3 - 2688*a^13*(-b)^(45/4)*c^5 - 11200*a^8*(-b)^(53/4)*c^3 - 30240*a^11*(-b)^(49/4)*c^4 - 21504*a^12*(-b)^(49/4)*c^3 - 336*a^13*(-b)^(45/4)*c^6 - 40320*a^9*(-b)^(53/4)*c^3 - 2520*a^11*(-b)^(49/4)*c^5 - 20160*a^12*(-b)^(49/4)*c^4 + 1120*a^9*(-b)^(53/4)*c^4 - 47040*a^10*(-b)^(53/4)*c^3 + 16800*a^10*(-b)^(53/4)*c^4 - 17920*a^11*(-b)^(53/4)*c^3 + 336*a^12*(-b)^(49/4)*c^6 + 4032*a^13*(-b)^(49/4)*c^5 + 8120*a^10*(-b)^(53/4)*c^5 + 33600*a^11*(-b)^(53/4)*c^4 + 1344*a^13*(-b)^(49/4)*c^6 + 11200*a^8*(-b)^(57/4)*c^4 + 26880*a^11*(-b)^(53/4)*c^5 + 17920*a^12*(-b)^(53/4)*c^4 + 144*a^13*(-b)^(49/4)*c^7 + 40320*a^9*(-b)^(57/4)*c^4 + 1680*a^11*(-b)^(53/4)*c^6 + 22848*a^12*(-b)^(53/4)*c^5 + 2240*a^9*(-b)^(57/4)*c^5 + 47040*a^10*(-b)^(57/4)*c^4 + 1344*a^12*(-b)^(53/4)*c^6 + 3584*a^13*(-b)^(53/4)*c^5 + 17920*a^11*(-b)^(57/4)*c^4 + 48*a^12*(-b)^(53/4)*c^7 - 1344*a^13*(-b)^(53/4)*c^6 - 3920*a^10*(-b)^(57/4)*c^6 - 9408*a^11*(-b)^(57/4)*c^5 - 384*a^13*(-b)^(53/4)*c^7 - 6720*a^8*(-b)^(61/4)*c^5 - 14784*a^11*(-b)^(57/4)*c^6 - 7168*a^12*(-b)^(57/4)*c^5 - 36*a^13*(-b)^(53/4)*c^8 - 24192*a^9*(-b)^(61/4)*c^5 - 528*a^11*(-b)^(57/4)*c^7 - 14784*a^12*(-b)^(57/4)*c^6 - 2688*a^9*(-b)^(61/4)*c^6 - 28224*a^10*(-b)^(61/4)*c^5 - 768*a^12*(-b)^(57/4)*c^7 - 3584*a^13*(-b)^(57/4)*c^6 - 6720*a^10*(-b)^(61/4)*c^6 - 10752*a^11*(-b)^(61/4)*c^5 - 60*a^12*(-b)^(57/4)*c^8 + 192*a^13*(-b)^(57/4)*c^7 + 1104*a^10*(-b)^(61/4)*c^7 - 4032*a^11*(-b)^(61/4)*c^6 + 48*a^13*(-b)^(57/4)*c^8 + 2240*a^8*(-b)^(65/4)*c^6 + 4608*a^11*(-b)^(61/4)*c^7 + 4*a^13*(-b)^(57/4)*c^9 + 8064*a^9*(-b)^(65/4)*c^6 + 36*a^11*(-b)^(61/4)*c^8 + 5184*a^12*(-b)^(61/4)*c^7 + 1216*a^9*(-b)^(65/4)*c^7 + 9408*a^10*(-b)^(65/4)*c^6 + 144*a^12*(-b)^(61/4)*c^8 + 1536*a^13*(-b)^(61/4)*c^7 + 3840*a^10*(-b)^(65/4)*c^7 + 3584*a^11*(-b)^(65/4)*c^6 + 12*a^12*(-b)^(61/4)*c^9 - 148*a^10*(-b)^(65/4)*c^8 + 3648*a^11*(-b)^(65/4)*c^7 - 320*a^8*(-b)^(69/4)*c^7 - 624*a^11*(-b)^(65/4)*c^8 + 1024*a^12*(-b)^(65/4)*c^7 - 1152*a^9*(-b)^(69/4)*c^7 + 12*a^11*(-b)^(65/4)*c^9 - 768*a^12*(-b)^(65/4)*c^8 - 208*a^9*(-b)^(69/4)*c^8 - 1344*a^10*(-b)^(69/4)*c^7 - 256*a^13*(-b)^(65/4)*c^8 - 720*a^10*(-b)^(69/4)*c^8 - 512*a^11*(-b)^(69/4)*c^7 + 4*a^10*(-b)^(69/4)*c^9 - 768*a^11*(-b)^(69/4)*c^8 - 256*a^12*(-b)^(69/4)*c^8 + 36*a^13*(-b)^(25/4)*c - 276*a^12*(-b)^(29/4)*c - 384*a^13*(-b)^(29/4)*c + 300*a^11*(-b)^(33/4)*c + 1536*a^12*(-b)^(33/4)*c + 1344*a^13*(-b)^(33/4)*c + 1380*a^10*(-b)^(37/4)*c + 2304*a^11*(-b)^(37/4)*c - 576*a^12*(-b)^(37/4)*c - 1472*a^9*(-b)^(41/4)*c - 1536*a^13*(-b)^(37/4)*c - 7680*a^10*(-b)^(41/4)*c - 11328*a^11*(-b)^(41/4)*c - 2240*a^8*(-b)^(45/4)*c - 5120*a^12*(-b)^(41/4)*c - 8064*a^9*(-b)^(45/4)*c - 9408*a^10*(-b)^(45/4)*c - 3584*a^11*(-b)^(45/4)*c))/(a^7*b^18 + 9*a^8*b^18*c + 36*a^9*b^18*c^2 + 84*a^10*b^18*c^3 + 126*a^11*b^18*c^4 + 126*a^12*b^18*c^5 + 84*a^13*b^18*c^6 + 36*a^14*b^18*c^7 + 9*a^15*b^18*c^8 + a^16*b^18*c^9) + ((-(4*a*b^3 + b^3 + 6*a^2*b^3 + 4*a^3*b^3 + a^4*b^3 + 4*a^2*b^3*c + 6*a^3*b^3*c + 4*a^4*b^3*c + a^5*b^3*c + a*b^3*c)/(a^8*b^4 - a^9*b^3))^(1/4)*(-(b*x - 1)/(c + x))^(1/4)*(16*a^13*(-b)^(11/2) - 80*a^12*(-b)^(13/2) - 80*a^11*(-b)^(15/2) - 128*a^13*(-b)^(13/2) + 400*a^10*(-b)^(17/2) + 128*a^12*(-b)^(15/2) + 896*a^9*(-b)^(19/2) + 1152*a^11*(-b)^(17/2) + 256*a^13*(-b)^(15/2) + 512*a^8*(-b)^(21/2) + 1920*a^10*(-b)^(19/2) + 768*a^12*(-b)^(17/2) + 1024*a^9*(-b)^(21/2) + 1024*a^11*(-b)^(19/2) + 512*a^10*(-b)^(21/2) + 448*a^13*(-b)^(15/2)*c^2 - 1344*a^12*(-b)^(17/2)*c^2 - 2624*a^11*(-b)^(19/2)*c^2 - 2688*a^13*(-b)^(17/2)*c^2 + 1088*a^10*(-b)^(21/2)*c^2 + 128*a^12*(-b)^(19/2)*c^2 - 896*a^13*(-b)^(17/2)*c^3 + 9600*a^9*(-b)^(23/2)*c^2 + 9344*a^11*(-b)^(21/2)*c^2 + 1792*a^12*(-b)^(19/2)*c^3 + 4096*a^13*(-b)^(19/2)*c^2 + 7680*a^8*(-b)^(25/2)*c^2 + 21888*a^10*(-b)^(23/2)*c^2 + 4096*a^11*(-b)^(21/2)*c^3 + 8704*a^12*(-b)^(21/2)*c^2 + 4480*a^13*(-b)^(19/2)*c^3 + 15360*a^9*(-b)^(25/2)*c^2 + 3328*a^10*(-b)^(23/2)*c^3 + 12288*a^11*(-b)^(23/2)*c^2 + 128*a^12*(-b)^(21/2)*c^3 + 1120*a^13*(-b)^(19/2)*c^4 - 8320*a^9*(-b)^(25/2)*c^3 + 7680*a^10*(-b)^(25/2)*c^2 - 4992*a^11*(-b)^(23/2)*c^3 - 1120*a^12*(-b)^(21/2)*c^4 - 6656*a^13*(-b)^(21/2)*c^3 - 10240*a^8*(-b)^(27/2)*c^3 - 21120*a^10*(-b)^(25/2)*c^3 - 2400*a^11*(-b)^(23/2)*c^4 - 9216*a^12*(-b)^(23/2)*c^3 - 4480*a^13*(-b)^(21/2)*c^4 - 20480*a^9*(-b)^(27/2)*c^3 - 7200*a^10*(-b)^(25/2)*c^4 - 12800*a^11*(-b)^(25/2)*c^3 + 1920*a^12*(-b)^(23/2)*c^4 - 896*a^13*(-b)^(21/2)*c^5 + 640*a^9*(-b)^(27/2)*c^4 - 10240*a^10*(-b)^(27/2)*c^3 - 3200*a^11*(-b)^(25/2)*c^4 + 7680*a^13*(-b)^(23/2)*c^4 + 7680*a^8*(-b)^(29/2)*c^4 + 5760*a^10*(-b)^(27/2)*c^4 - 1280*a^11*(-b)^(25/2)*c^5 + 5120*a^12*(-b)^(25/2)*c^4 + 2688*a^13*(-b)^(23/2)*c^5 + 15360*a^9*(-b)^(29/2)*c^4 + 5120*a^10*(-b)^(27/2)*c^5 + 5120*a^11*(-b)^(27/2)*c^4 - 5248*a^12*(-b)^(25/2)*c^5 + 448*a^13*(-b)^(23/2)*c^6 + 4224*a^9*(-b)^(29/2)*c^5 + 7680*a^10*(-b)^(29/2)*c^4 + 3968*a^11*(-b)^(27/2)*c^5 + 448*a^12*(-b)^(25/2)*c^6 - 6656*a^13*(-b)^(25/2)*c^5 - 3072*a^8*(-b)^(31/2)*c^5 + 5760*a^10*(-b)^(29/2)*c^5 + 2752*a^11*(-b)^(27/2)*c^6 - 2048*a^12*(-b)^(27/2)*c^5 - 896*a^13*(-b)^(25/2)*c^6 - 6144*a^9*(-b)^(31/2)*c^5 - 704*a^10*(-b)^(29/2)*c^6 + 1536*a^11*(-b)^(29/2)*c^5 + 5504*a^12*(-b)^(27/2)*c^6 - 128*a^13*(-b)^(25/2)*c^7 - 2944*a^9*(-b)^(31/2)*c^6 - 3072*a^10*(-b)^(31/2)*c^5 + 384*a^11*(-b)^(29/2)*c^6 - 256*a^12*(-b)^(27/2)*c^7 + 4096*a^13*(-b)^(27/2)*c^6 + 512*a^8*(-b)^(33/2)*c^6 - 4992*a^10*(-b)^(31/2)*c^6 - 1536*a^11*(-b)^(29/2)*c^7 + 1536*a^12*(-b)^(29/2)*c^6 + 128*a^13*(-b)^(27/2)*c^7 + 1024*a^9*(-b)^(33/2)*c^6 - 768*a^10*(-b)^(31/2)*c^7 - 2048*a^11*(-b)^(31/2)*c^6 - 2688*a^12*(-b)^(29/2)*c^7 + 16*a^13*(-b)^(27/2)*c^8 + 640*a^9*(-b)^(33/2)*c^7 + 512*a^10*(-b)^(33/2)*c^6 - 1664*a^11*(-b)^(31/2)*c^7 + 48*a^12*(-b)^(29/2)*c^8 - 1536*a^13*(-b)^(29/2)*c^7 + 1152*a^10*(-b)^(33/2)*c^7 + 304*a^11*(-b)^(31/2)*c^8 - 1024*a^12*(-b)^(31/2)*c^7 + 272*a^10*(-b)^(33/2)*c^8 + 512*a^11*(-b)^(33/2)*c^7 + 512*a^12*(-b)^(31/2)*c^8 + 512*a^11*(-b)^(33/2)*c^8 + 256*a^13*(-b)^(31/2)*c^8 + 256*a^12*(-b)^(33/2)*c^8 - 128*a^13*(-b)^(13/2)*c + 512*a^12*(-b)^(15/2)*c + 768*a^11*(-b)^(17/2)*c + 896*a^13*(-b)^(15/2)*c - 1536*a^10*(-b)^(19/2)*c - 384*a^12*(-b)^(17/2)*c - 4736*a^9*(-b)^(21/2)*c - 5504*a^11*(-b)^(19/2)*c - 1536*a^13*(-b)^(17/2)*c - 3072*a^8*(-b)^(23/2)*c - 10368*a^10*(-b)^(21/2)*c - 4096*a^12*(-b)^(19/2)*c - 6144*a^9*(-b)^(23/2)*c - 5632*a^11*(-b)^(21/2)*c - 3072*a^10*(-b)^(23/2)*c)*64i)/((-b)^(1/4)*(a^6*b^17 + 9*a^7*b^17*c + 36*a^8*b^17*c^2 + 84*a^9*b^17*c^3 + 126*a^10*b^17*c^4 + 126*a^11*b^17*c^5 + 84*a^12*b^17*c^6 + 36*a^13*b^17*c^7 + 9*a^14*b^17*c^8 + a^15*b^17*c^9)))*1i + (64*(-(b*x - 1)/(c + x))^(1/4)*(512*(-b)^(19/2) + a^5*(-b)^(9/2) + a^4*(-b)^(11/2) + 2*a^6*(-b)^(9/2) - 16*a^3*(-b)^(13/2) + 18*a^5*(-b)^(11/2) + a^7*(-b)^(9/2) - 144*a^2*(-b)^(15/2) - 176*a^4*(-b)^(13/2) + 49*a^6*(-b)^(11/2) - 576*a^3*(-b)^(15/2) - 560*a^5*(-b)^(13/2) + 48*a^7*(-b)^(11/2) + 2688*a^2*(-b)^(17/2) - 608*a^4*(-b)^(15/2) - 784*a^6*(-b)^(13/2) + 16*a^8*(-b)^(11/2) + 7680*a^3*(-b)^(17/2) + 448*a^5*(-b)^(15/2) - 512*a^7*(-b)^(13/2) + 7680*a^2*(-b)^(19/2) + 11520*a^4*(-b)^(17/2) + 1392*a^6*(-b)^(15/2) - 128*a^8*(-b)^(13/2) + 10240*a^3*(-b)^(19/2) + 9600*a^5*(-b)^(17/2) + 1024*a^7*(-b)^(15/2) + 7680*a^4*(-b)^(19/2) + 4224*a^6*(-b)^(17/2) + 256*a^8*(-b)^(15/2) + 3072*a^5*(-b)^(19/2) + 768*a^7*(-b)^(17/2) + 512*a^6*(-b)^(19/2) + 7680*(-b)^(23/2)*c^2 - 10240*(-b)^(25/2)*c^3 + 7680*(-b)^(27/2)*c^4 - 3072*(-b)^(29/2)*c^5 + 512*(-b)^(31/2)*c^6 + 384*a*(-b)^(17/2) + 3072*a*(-b)^(19/2) - 3072*(-b)^(21/2)*c + a^7*(-b)^(9/2)*c^2 - 35*a^6*(-b)^(11/2)*c^2 + 2*a^8*(-b)^(9/2)*c^2 + 265*a^5*(-b)^(13/2)*c^2 - 86*a^7*(-b)^(11/2)*c^2 + a^9*(-b)^(9/2)*c^2 - 851*a^4*(-b)^(15/2)*c^2 + 738*a^6*(-b)^(13/2)*c^2 - 10*a^7*(-b)^(11/2)*c^3 - 67*a^8*(-b)^(11/2)*c^2 + 2496*a^3*(-b)^(17/2)*c^2 - 2566*a^5*(-b)^(15/2)*c^2 + 224*a^6*(-b)^(13/2)*c^3 + 649*a^7*(-b)^(13/2)*c^2 - 20*a^8*(-b)^(11/2)*c^3 - 16*a^9*(-b)^(11/2)*c^2 - 5184*a^2*(-b)^(19/2)*c^2 + 10432*a^4*(-b)^(17/2)*c^2 - 1358*a^5*(-b)^(15/2)*c^3 - 1907*a^6*(-b)^(15/2)*c^2 + 592*a^7*(-b)^(13/2)*c^3 + 144*a^8*(-b)^(13/2)*c^2 - 10*a^9*(-b)^(11/2)*c^3 - 31104*a^3*(-b)^(19/2)*c^2 + 3784*a^4*(-b)^(17/2)*c^3 + 14912*a^5*(-b)^(17/2)*c^2 - 4364*a^6*(-b)^(15/2)*c^3 + 45*a^7*(-b)^(13/2)*c^4 + 1120*a^7*(-b)^(15/2)*c^2 + 512*a^8*(-b)^(13/2)*c^3 - 32*a^9*(-b)^(13/2)*c^2 + 1152*a^2*(-b)^(21/2)*c^2 - 7552*a^3*(-b)^(19/2)*c^3 - 74624*a^4*(-b)^(19/2)*c^2 + 14288*a^5*(-b)^(17/2)*c^3 - 771*a^6*(-b)^(15/2)*c^4 + 5824*a^6*(-b)^(17/2)*c^2 - 4974*a^7*(-b)^(15/2)*c^3 + 90*a^8*(-b)^(13/2)*c^4 + 1952*a^8*(-b)^(15/2)*c^2 + 144*a^9*(-b)^(13/2)*c^3 + 6912*a^2*(-b)^(21/2)*c^3 + 23040*a^3*(-b)^(21/2)*c^2 - 36800*a^4*(-b)^(19/2)*c^3 + 3874*a^5*(-b)^(17/2)*c^4 - 91136*a^5*(-b)^(19/2)*c^2 + 19144*a^6*(-b)^(17/2)*c^3 - 2118*a^7*(-b)^(15/2)*c^4 - 5120*a^7*(-b)^(17/2)*c^2 - 2288*a^8*(-b)^(15/2)*c^3 + 45*a^9*(-b)^(13/2)*c^4 + 640*a^9*(-b)^(15/2)*c^2 + 115200*a^2*(-b)^(23/2)*c^2 + 49536*a^3*(-b)^(21/2)*c^3 - 8750*a^4*(-b)^(19/2)*c^4 + 57600*a^4*(-b)^(21/2)*c^2 - 68032*a^5*(-b)^(19/2)*c^3 + 13444*a^6*(-b)^(17/2)*c^4 - 58944*a^6*(-b)^(19/2)*c^2 - 120*a^7*(-b)^(15/2)*c^5 + 9664*a^7*(-b)^(17/2)*c^3 - 1923*a^8*(-b)^(15/2)*c^4 - 5248*a^8*(-b)^(17/2)*c^2 - 320*a^9*(-b)^(15/2)*c^3 + 44160*a^2*(-b)^(23/2)*c^3 + 11040*a^3*(-b)^(21/2)*c^4 + 153600*a^3*(-b)^(23/2)*c^2 + 137728*a^4*(-b)^(21/2)*c^3 - 36988*a^5*(-b)^(19/2)*c^4 + 63360*a^5*(-b)^(21/2)*c^2 + 1644*a^6*(-b)^(17/2)*c^5 - 56512*a^6*(-b)^(19/2)*c^3 + 17058*a^7*(-b)^(17/2)*c^4 - 18560*a^7*(-b)^(19/2)*c^2 - 240*a^8*(-b)^(15/2)*c^5 + 128*a^8*(-b)^(17/2)*c^3 - 576*a^9*(-b)^(15/2)*c^4 - 1280*a^9*(-b)^(17/2)*c^2 - 480*a^2*(-b)^(23/2)*c^4 + 76800*a^3*(-b)^(23/2)*c^3 + 60640*a^4*(-b)^(21/2)*c^4 + 115200*a^4*(-b)^(23/2)*c^2 - 6776*a^5*(-b)^(19/2)*c^5 + 193792*a^5*(-b)^(21/2)*c^3 - 59150*a^6*(-b)^(19/2)*c^4 + 33408*a^6*(-b)^(21/2)*c^2 + 4632*a^7*(-b)^(17/2)*c^5 - 16064*a^7*(-b)^(19/2)*c^3 + 9280*a^8*(-b)^(17/2)*c^4 - 2048*a^8*(-b)^(19/2)*c^2 - 120*a^9*(-b)^(15/2)*c^5 - 896*a^9*(-b)^(17/2)*c^3 - 153600*a^2*(-b)^(25/2)*c^3 - 23040*a^3*(-b)^(23/2)*c^4 + 11620*a^4*(-b)^(21/2)*c^5 + 57600*a^4*(-b)^(23/2)*c^3 + 128864*a^5*(-b)^(21/2)*c^4 + 46080*a^5*(-b)^(23/2)*c^2 - 24752*a^6*(-b)^(19/2)*c^5 + 146688*a^6*(-b)^(21/2)*c^3 + 210*a^7*(-b)^(17/2)*c^6 - 43232*a^7*(-b)^(19/2)*c^4 + 6912*a^7*(-b)^(21/2)*c^2 + 4332*a^8*(-b)^(17/2)*c^5 + 3968*a^8*(-b)^(19/2)*c^3 + 1792*a^9*(-b)^(17/2)*c^4 - 90240*a^2*(-b)^(25/2)*c^4 - 7104*a^3*(-b)^(23/2)*c^5 - 204800*a^3*(-b)^(25/2)*c^3 - 100160*a^4*(-b)^(23/2)*c^4 + 53480*a^5*(-b)^(21/2)*c^5 + 9600*a^5*(-b)^(23/2)*c^3 - 2310*a^6*(-b)^(19/2)*c^6 + 131872*a^6*(-b)^(21/2)*c^4 + 7680*a^6*(-b)^(23/2)*c^2 - 33432*a^7*(-b)^(19/2)*c^5 + 56704*a^7*(-b)^(21/2)*c^3 + 420*a^8*(-b)^(17/2)*c^6 - 13216*a^8*(-b)^(19/2)*c^4 + 1344*a^9*(-b)^(17/2)*c^5 + 2304*a^9*(-b)^(19/2)*c^3 - 9216*a^2*(-b)^(25/2)*c^5 - 192000*a^3*(-b)^(25/2)*c^4 - 48224*a^4*(-b)^(23/2)*c^5 - 153600*a^4*(-b)^(25/2)*c^3 + 7546*a^5*(-b)^(21/2)*c^6 - 179840*a^5*(-b)^(23/2)*c^4 + 94948*a^6*(-b)^(21/2)*c^5 - 9600*a^6*(-b)^(23/2)*c^3 - 6636*a^7*(-b)^(19/2)*c^6 + 63232*a^7*(-b)^(21/2)*c^4 - 19712*a^8*(-b)^(19/2)*c^5 + 8704*a^8*(-b)^(21/2)*c^3 + 210*a^9*(-b)^(17/2)*c^6 - 896*a^9*(-b)^(19/2)*c^4 + 115200*a^2*(-b)^(27/2)*c^4 - 31104*a^3*(-b)^(25/2)*c^5 - 8750*a^4*(-b)^(23/2)*c^6 - 211200*a^4*(-b)^(25/2)*c^4 - 121120*a^5*(-b)^(23/2)*c^5 - 61440*a^5*(-b)^(25/2)*c^3 + 28756*a^6*(-b)^(21/2)*c^6 - 161760*a^6*(-b)^(23/2)*c^4 - 252*a^7*(-b)^(19/2)*c^7 + 80416*a^7*(-b)^(21/2)*c^5 - 3840*a^7*(-b)^(23/2)*c^3 - 6342*a^8*(-b)^(19/2)*c^6 + 9344*a^8*(-b)^(21/2)*c^4 - 4256*a^9*(-b)^(19/2)*c^5 + 81792*a^2*(-b)^(27/2)*c^5 - 832*a^3*(-b)^(25/2)*c^6 + 153600*a^3*(-b)^(27/2)*c^4 - 23552*a^4*(-b)^(25/2)*c^5 - 44380*a^5*(-b)^(23/2)*c^6 - 124800*a^5*(-b)^(25/2)*c^4 + 2184*a^6*(-b)^(21/2)*c^7 - 146336*a^6*(-b)^(23/2)*c^5 - 10240*a^6*(-b)^(25/2)*c^3 + 40698*a^7*(-b)^(21/2)*c^6 - 72320*a^7*(-b)^(23/2)*c^4 - 504*a^8*(-b)^(19/2)*c^7 + 31808*a^8*(-b)^(21/2)*c^5 - 2016*a^9*(-b)^(19/2)*c^6 - 1280*a^9*(-b)^(21/2)*c^4 + 10944*a^2*(-b)^(27/2)*c^6 + 184320*a^3*(-b)^(27/2)*c^5 + 8896*a^4*(-b)^(25/2)*c^6 + 115200*a^4*(-b)^(27/2)*c^4 - 5300*a^5*(-b)^(23/2)*c^7 + 32512*a^5*(-b)^(25/2)*c^5 - 86702*a^6*(-b)^(23/2)*c^6 - 36480*a^6*(-b)^(25/2)*c^4 + 6384*a^7*(-b)^(21/2)*c^7 - 87968*a^7*(-b)^(23/2)*c^5 + 25312*a^8*(-b)^(21/2)*c^6 - 12800*a^8*(-b)^(23/2)*c^4 - 252*a^9*(-b)^(19/2)*c^7 + 4480*a^9*(-b)^(21/2)*c^5 - 46080*a^2*(-b)^(29/2)*c^5 + 49536*a^3*(-b)^(27/2)*c^6 + 3016*a^4*(-b)^(25/2)*c^7 + 218880*a^4*(-b)^(27/2)*c^5 + 44864*a^5*(-b)^(25/2)*c^6 + 46080*a^5*(-b)^(27/2)*c^4 - 21128*a^6*(-b)^(23/2)*c^7 + 66048*a^6*(-b)^(25/2)*c^5 + 210*a^7*(-b)^(21/2)*c^8 - 81536*a^7*(-b)^(23/2)*c^6 - 3840*a^7*(-b)^(25/2)*c^4 + 6216*a^8*(-b)^(21/2)*c^7 - 22912*a^8*(-b)^(23/2)*c^5 + 5824*a^9*(-b)^(21/2)*c^6 - 36480*a^2*(-b)^(29/2)*c^6 + 4224*a^3*(-b)^(27/2)*c^7 - 61440*a^3*(-b)^(29/2)*c^5 + 86656*a^4*(-b)^(27/2)*c^6 + 18896*a^5*(-b)^(25/2)*c^7 + 144000*a^5*(-b)^(27/2)*c^5 - 1374*a^6*(-b)^(23/2)*c^8 + 75200*a^6*(-b)^(25/2)*c^6 + 7680*a^6*(-b)^(27/2)*c^4 - 31284*a^7*(-b)^(23/2)*c^7 + 40576*a^7*(-b)^(25/2)*c^5 + 420*a^8*(-b)^(21/2)*c^8 - 36736*a^8*(-b)^(23/2)*c^6 + 2016*a^9*(-b)^(21/2)*c^7 - 1280*a^9*(-b)^(23/2)*c^5 - 5376*a^2*(-b)^(29/2)*c^7 - 84480*a^3*(-b)^(29/2)*c^6 + 13888*a^4*(-b)^(27/2)*c^7 - 46080*a^4*(-b)^(29/2)*c^5 + 2173*a^5*(-b)^(25/2)*c^8 + 70144*a^5*(-b)^(27/2)*c^6 + 42952*a^6*(-b)^(25/2)*c^7 + 49536*a^6*(-b)^(27/2)*c^5 - 4092*a^7*(-b)^(23/2)*c^8 + 57856*a^7*(-b)^(25/2)*c^6 - 20384*a^8*(-b)^(23/2)*c^7 + 8704*a^8*(-b)^(25/2)*c^5 + 210*a^9*(-b)^(21/2)*c^8 - 6272*a^9*(-b)^(23/2)*c^6 + 7680*a^2*(-b)^(31/2)*c^6 - 26496*a^3*(-b)^(29/2)*c^7 + 301*a^4*(-b)^(27/2)*c^8 - 103680*a^4*(-b)^(29/2)*c^6 + 12608*a^5*(-b)^(27/2)*c^7 - 18432*a^5*(-b)^(29/2)*c^5 + 9274*a^6*(-b)^(25/2)*c^8 + 21696*a^6*(-b)^(27/2)*c^6 - 120*a^7*(-b)^(23/2)*c^9 + 45760*a^7*(-b)^(25/2)*c^7 + 6912*a^7*(-b)^(27/2)*c^5 - 4062*a^8*(-b)^(23/2)*c^8 + 20096*a^8*(-b)^(25/2)*c^6 - 4928*a^9*(-b)^(23/2)*c^7 + 6528*a^2*(-b)^(31/2)*c^7 - 2448*a^3*(-b)^(29/2)*c^8 + 10240*a^3*(-b)^(31/2)*c^6 - 52736*a^4*(-b)^(29/2)*c^7 - 1558*a^5*(-b)^(27/2)*c^8 - 71040*a^5*(-b)^(29/2)*c^6 + 546*a^6*(-b)^(25/2)*c^9 - 4544*a^6*(-b)^(27/2)*c^7 - 3072*a^6*(-b)^(29/2)*c^5 + 14589*a^7*(-b)^(25/2)*c^8 - 2432*a^7*(-b)^(27/2)*c^6 - 240*a^8*(-b)^(23/2)*c^9 + 23168*a^8*(-b)^(25/2)*c^7 - 1344*a^9*(-b)^(23/2)*c^8 + 2304*a^9*(-b)^(25/2)*c^6 + 1008*a^2*(-b)^(31/2)*c^8 + 15360*a^3*(-b)^(31/2)*c^7 - 10160*a^4*(-b)^(29/2)*c^8 + 7680*a^4*(-b)^(31/2)*c^6 - 384*a^5*(-b)^(27/2)*c^9 - 53504*a^5*(-b)^(29/2)*c^7 - 8099*a^6*(-b)^(27/2)*c^8 - 25728*a^6*(-b)^(29/2)*c^6 + 1668*a^7*(-b)^(25/2)*c^9 - 13760*a^7*(-b)^(27/2)*c^7 + 10048*a^8*(-b)^(25/2)*c^8 - 2048*a^8*(-b)^(27/2)*c^6 - 120*a^9*(-b)^(23/2)*c^9 + 4480*a^9*(-b)^(25/2)*c^7 + 5184*a^3*(-b)^(31/2)*c^8 - 570*a^4*(-b)^(29/2)*c^9 + 19200*a^4*(-b)^(31/2)*c^7 - 16048*a^5*(-b)^(29/2)*c^8 + 3072*a^5*(-b)^(31/2)*c^6 - 1984*a^6*(-b)^(27/2)*c^9 - 28416*a^6*(-b)^(29/2)*c^7 + 45*a^7*(-b)^(25/2)*c^10 - 11984*a^7*(-b)^(27/2)*c^8 - 3840*a^7*(-b)^(29/2)*c^6 + 1698*a^8*(-b)^(25/2)*c^9 - 7552*a^8*(-b)^(27/2)*c^7 + 2560*a^9*(-b)^(25/2)*c^8 + 480*a^3*(-b)^(31/2)*c^9 + 10912*a^4*(-b)^(31/2)*c^8 - 1732*a^5*(-b)^(29/2)*c^9 + 13440*a^5*(-b)^(31/2)*c^7 - 119*a^6*(-b)^(27/2)*c^10 - 11408*a^6*(-b)^(29/2)*c^8 + 512*a^6*(-b)^(31/2)*c^6 - 3568*a^7*(-b)^(27/2)*c^9 - 7040*a^7*(-b)^(29/2)*c^7 + 90*a^8*(-b)^(25/2)*c^10 - 7408*a^8*(-b)^(27/2)*c^8 + 576*a^9*(-b)^(25/2)*c^9 - 1280*a^9*(-b)^(27/2)*c^7 + 2160*a^4*(-b)^(31/2)*c^9 - 35*a^5*(-b)^(29/2)*c^10 + 11968*a^5*(-b)^(31/2)*c^8 - 1530*a^6*(-b)^(29/2)*c^9 + 4992*a^6*(-b)^(31/2)*c^7 - 382*a^7*(-b)^(27/2)*c^10 - 2816*a^7*(-b)^(29/2)*c^8 - 2720*a^8*(-b)^(27/2)*c^9 - 512*a^8*(-b)^(29/2)*c^7 + 45*a^9*(-b)^(25/2)*c^10 - 1664*a^9*(-b)^(27/2)*c^8 + 129*a^4*(-b)^(31/2)*c^10 + 3856*a^5*(-b)^(31/2)*c^9 + 10*a^6*(-b)^(29/2)*c^10 + 7152*a^6*(-b)^(31/2)*c^8 - 10*a^7*(-b)^(27/2)*c^11 + 112*a^7*(-b)^(29/2)*c^9 + 768*a^7*(-b)^(31/2)*c^7 - 407*a^8*(-b)^(27/2)*c^10 + 512*a^8*(-b)^(29/2)*c^8 - 752*a^9*(-b)^(27/2)*c^9 + 482*a^5*(-b)^(31/2)*c^10 + 8*a^6*(-b)^(29/2)*c^11 + 3408*a^6*(-b)^(31/2)*c^9 + 221*a^7*(-b)^(29/2)*c^10 + 2176*a^7*(-b)^(31/2)*c^8 - 20*a^8*(-b)^(27/2)*c^11 + 736*a^8*(-b)^(29/2)*c^9 - 144*a^9*(-b)^(27/2)*c^10 + 256*a^9*(-b)^(29/2)*c^8 + 18*a^5*(-b)^(31/2)*c^11 + 673*a^6*(-b)^(31/2)*c^10 + 32*a^7*(-b)^(29/2)*c^11 + 1488*a^7*(-b)^(31/2)*c^9 + 272*a^8*(-b)^(29/2)*c^10 + 256*a^8*(-b)^(31/2)*c^8 - 10*a^9*(-b)^(27/2)*c^11 + 256*a^9*(-b)^(29/2)*c^9 + 52*a^6*(-b)^(31/2)*c^11 + a^7*(-b)^(29/2)*c^12 + 416*a^7*(-b)^(31/2)*c^10 + 40*a^8*(-b)^(29/2)*c^11 + 256*a^8*(-b)^(31/2)*c^9 + 96*a^9*(-b)^(29/2)*c^10 + a^6*(-b)^(31/2)*c^12 + 50*a^7*(-b)^(31/2)*c^11 + 2*a^8*(-b)^(29/2)*c^12 + 96*a^8*(-b)^(31/2)*c^10 + 16*a^9*(-b)^(29/2)*c^11 + 2*a^7*(-b)^(31/2)*c^12 + 16*a^8*(-b)^(31/2)*c^11 + a^9*(-b)^(29/2)*c^12 + a^8*(-b)^(31/2)*c^12 - 1152*a*(-b)^(19/2)*c - 18432*a*(-b)^(21/2)*c + 2*a^6*(-b)^(9/2)*c - 24*a^5*(-b)^(11/2)*c + 4*a^7*(-b)^(9/2)*c + 70*a^4*(-b)^(13/2)*c - 48*a^6*(-b)^(11/2)*c + 2*a^8*(-b)^(9/2)*c - 288*a^3*(-b)^(15/2)*c + 60*a^5*(-b)^(13/2)*c - 8*a^7*(-b)^(11/2)*c + 1536*a^2*(-b)^(17/2)*c - 656*a^4*(-b)^(15/2)*c - 378*a^6*(-b)^(13/2)*c + 32*a^8*(-b)^(11/2)*c + 8064*a^3*(-b)^(17/2)*c + 656*a^5*(-b)^(15/2)*c - 784*a^7*(-b)^(13/2)*c + 16*a^9*(-b)^(11/2)*c - 9600*a^2*(-b)^(19/2)*c + 16384*a^4*(-b)^(17/2)*c + 3280*a^6*(-b)^(15/2)*c - 544*a^8*(-b)^(13/2)*c - 30720*a^3*(-b)^(19/2)*c + 15616*a^5*(-b)^(17/2)*c + 3664*a^7*(-b)^(15/2)*c - 128*a^9*(-b)^(13/2)*c - 1152*a*(-b)^(21/2)*c^2 - 46080*a^2*(-b)^(21/2)*c - 49920*a^4*(-b)^(19/2)*c + 6144*a^6*(-b)^(17/2)*c + 1664*a^8*(-b)^(15/2)*c - 61440*a^3*(-b)^(21/2)*c - 44160*a^5*(-b)^(19/2)*c - 128*a^7*(-b)^(17/2)*c + 256*a^9*(-b)^(15/2)*c + 46080*a*(-b)^(23/2)*c^2 - 46080*a^4*(-b)^(21/2)*c - 20352*a^6*(-b)^(19/2)*c - 512*a^8*(-b)^(17/2)*c + 9600*a*(-b)^(23/2)*c^3 - 18432*a^5*(-b)^(21/2)*c - 3840*a^7*(-b)^(19/2)*c - 3072*a^6*(-b)^(21/2)*c - 61440*a*(-b)^(25/2)*c^3 - 17280*a*(-b)^(25/2)*c^4 + 46080*a*(-b)^(27/2)*c^4 + 14976*a*(-b)^(27/2)*c^5 - 18432*a*(-b)^(29/2)*c^5 - 6528*a*(-b)^(29/2)*c^6 + 3072*a*(-b)^(31/2)*c^6 + 1152*a*(-b)^(31/2)*c^7))/((-b)^(1/4)*(a^6*b^17 + 9*a^7*b^17*c + 36*a^8*b^17*c^2 + 84*a^9*b^17*c^3 + 126*a^10*b^17*c^4 + 126*a^11*b^17*c^5 + 84*a^12*b^17*c^6 + 36*a^13*b^17*c^7 + 9*a^14*b^17*c^8 + a^15*b^17*c^9)))*1i))*(-(4*a*b^3 + b^3 + 6*a^2*b^3 + 4*a^3*b^3 + a^4*b^3 + 4*a^2*b^3*c + 6*a^3*b^3*c + 4*a^4*b^3*c + a^5*b^3*c + a*b^3*c)/(a^8*b^4 - a^9*b^3))^(1/4) + (atan(((((-b)^(7/4)*1i - (a*(-b)^(3/4)*(4*b + b*c + 1)*1i)/4)*((((-b)^(7/4)*1i - (a*(-b)^(3/4)*(4*b + b*c + 1)*1i)/4)^3*((64*(36*a^12*(-b)^(25/4) - 4*a^13*(-b)^(21/4) + 48*a^13*(-b)^(25/4) - 60*a^11*(-b)^(29/4) - 240*a^12*(-b)^(29/4) - 192*a^13*(-b)^(29/4) - 180*a^10*(-b)^(33/4) - 240*a^11*(-b)^(33/4) + 192*a^12*(-b)^(33/4) + 240*a^9*(-b)^(37/4) + 256*a^13*(-b)^(33/4) + 1200*a^10*(-b)^(37/4) + 1728*a^11*(-b)^(37/4) + 320*a^8*(-b)^(41/4) + 768*a^12*(-b)^(37/4) + 1152*a^9*(-b)^(41/4) + 1344*a^10*(-b)^(41/4) + 512*a^11*(-b)^(41/4) - 144*a^13*(-b)^(29/4)*c^2 + 912*a^12*(-b)^(33/4)*c^2 + 1344*a^13*(-b)^(33/4)*c^2 + 336*a^13*(-b)^(33/4)*c^3 - 432*a^11*(-b)^(37/4)*c^2 - 4032*a^12*(-b)^(37/4)*c^2 - 1680*a^12*(-b)^(37/4)*c^3 - 4032*a^13*(-b)^(37/4)*c^2 - 4624*a^10*(-b)^(41/4)*c^2 - 2688*a^13*(-b)^(37/4)*c^3 - 9408*a^11*(-b)^(41/4)*c^2 - 504*a^13*(-b)^(37/4)*c^4 - 336*a^11*(-b)^(41/4)*c^3 - 1344*a^12*(-b)^(41/4)*c^2 + 3584*a^9*(-b)^(45/4)*c^2 + 5376*a^12*(-b)^(41/4)*c^3 + 3584*a^13*(-b)^(41/4)*c^2 + 20160*a^10*(-b)^(45/4)*c^2 + 1848*a^12*(-b)^(41/4)*c^4 + 6720*a^13*(-b)^(41/4)*c^3 + 8848*a^10*(-b)^(45/4)*c^3 + 30912*a^11*(-b)^(45/4)*c^2 + 3360*a^13*(-b)^(41/4)*c^4 + 6720*a^8*(-b)^(49/4)*c^2 + 21504*a^11*(-b)^(45/4)*c^3 + 14336*a^12*(-b)^(45/4)*c^2 + 504*a^13*(-b)^(41/4)*c^5 + 24192*a^9*(-b)^(49/4)*c^2 + 1848*a^11*(-b)^(45/4)*c^4 + 9408*a^12*(-b)^(45/4)*c^3 - 4032*a^9*(-b)^(49/4)*c^3 + 28224*a^10*(-b)^(49/4)*c^2 - 3360*a^12*(-b)^(45/4)*c^4 - 3584*a^13*(-b)^(45/4)*c^3 - 26880*a^10*(-b)^(49/4)*c^3 + 10752*a^11*(-b)^(49/4)*c^2 - 1176*a^12*(-b)^(45/4)*c^5 - 6720*a^13*(-b)^(45/4)*c^4 - 10584*a^10*(-b)^(49/4)*c^4 - 44352*a^11*(-b)^(49/4)*c^3 - 2688*a^13*(-b)^(45/4)*c^5 - 11200*a^8*(-b)^(53/4)*c^3 - 30240*a^11*(-b)^(49/4)*c^4 - 21504*a^12*(-b)^(49/4)*c^3 - 336*a^13*(-b)^(45/4)*c^6 - 40320*a^9*(-b)^(53/4)*c^3 - 2520*a^11*(-b)^(49/4)*c^5 - 20160*a^12*(-b)^(49/4)*c^4 + 1120*a^9*(-b)^(53/4)*c^4 - 47040*a^10*(-b)^(53/4)*c^3 + 16800*a^10*(-b)^(53/4)*c^4 - 17920*a^11*(-b)^(53/4)*c^3 + 336*a^12*(-b)^(49/4)*c^6 + 4032*a^13*(-b)^(49/4)*c^5 + 8120*a^10*(-b)^(53/4)*c^5 + 33600*a^11*(-b)^(53/4)*c^4 + 1344*a^13*(-b)^(49/4)*c^6 + 11200*a^8*(-b)^(57/4)*c^4 + 26880*a^11*(-b)^(53/4)*c^5 + 17920*a^12*(-b)^(53/4)*c^4 + 144*a^13*(-b)^(49/4)*c^7 + 40320*a^9*(-b)^(57/4)*c^4 + 1680*a^11*(-b)^(53/4)*c^6 + 22848*a^12*(-b)^(53/4)*c^5 + 2240*a^9*(-b)^(57/4)*c^5 + 47040*a^10*(-b)^(57/4)*c^4 + 1344*a^12*(-b)^(53/4)*c^6 + 3584*a^13*(-b)^(53/4)*c^5 + 17920*a^11*(-b)^(57/4)*c^4 + 48*a^12*(-b)^(53/4)*c^7 - 1344*a^13*(-b)^(53/4)*c^6 - 3920*a^10*(-b)^(57/4)*c^6 - 9408*a^11*(-b)^(57/4)*c^5 - 384*a^13*(-b)^(53/4)*c^7 - 6720*a^8*(-b)^(61/4)*c^5 - 14784*a^11*(-b)^(57/4)*c^6 - 7168*a^12*(-b)^(57/4)*c^5 - 36*a^13*(-b)^(53/4)*c^8 - 24192*a^9*(-b)^(61/4)*c^5 - 528*a^11*(-b)^(57/4)*c^7 - 14784*a^12*(-b)^(57/4)*c^6 - 2688*a^9*(-b)^(61/4)*c^6 - 28224*a^10*(-b)^(61/4)*c^5 - 768*a^12*(-b)^(57/4)*c^7 - 3584*a^13*(-b)^(57/4)*c^6 - 6720*a^10*(-b)^(61/4)*c^6 - 10752*a^11*(-b)^(61/4)*c^5 - 60*a^12*(-b)^(57/4)*c^8 + 192*a^13*(-b)^(57/4)*c^7 + 1104*a^10*(-b)^(61/4)*c^7 - 4032*a^11*(-b)^(61/4)*c^6 + 48*a^13*(-b)^(57/4)*c^8 + 2240*a^8*(-b)^(65/4)*c^6 + 4608*a^11*(-b)^(61/4)*c^7 + 4*a^13*(-b)^(57/4)*c^9 + 8064*a^9*(-b)^(65/4)*c^6 + 36*a^11*(-b)^(61/4)*c^8 + 5184*a^12*(-b)^(61/4)*c^7 + 1216*a^9*(-b)^(65/4)*c^7 + 9408*a^10*(-b)^(65/4)*c^6 + 144*a^12*(-b)^(61/4)*c^8 + 1536*a^13*(-b)^(61/4)*c^7 + 3840*a^10*(-b)^(65/4)*c^7 + 3584*a^11*(-b)^(65/4)*c^6 + 12*a^12*(-b)^(61/4)*c^9 - 148*a^10*(-b)^(65/4)*c^8 + 3648*a^11*(-b)^(65/4)*c^7 - 320*a^8*(-b)^(69/4)*c^7 - 624*a^11*(-b)^(65/4)*c^8 + 1024*a^12*(-b)^(65/4)*c^7 - 1152*a^9*(-b)^(69/4)*c^7 + 12*a^11*(-b)^(65/4)*c^9 - 768*a^12*(-b)^(65/4)*c^8 - 208*a^9*(-b)^(69/4)*c^8 - 1344*a^10*(-b)^(69/4)*c^7 - 256*a^13*(-b)^(65/4)*c^8 - 720*a^10*(-b)^(69/4)*c^8 - 512*a^11*(-b)^(69/4)*c^7 + 4*a^10*(-b)^(69/4)*c^9 - 768*a^11*(-b)^(69/4)*c^8 - 256*a^12*(-b)^(69/4)*c^8 + 36*a^13*(-b)^(25/4)*c - 276*a^12*(-b)^(29/4)*c - 384*a^13*(-b)^(29/4)*c + 300*a^11*(-b)^(33/4)*c + 1536*a^12*(-b)^(33/4)*c + 1344*a^13*(-b)^(33/4)*c + 1380*a^10*(-b)^(37/4)*c + 2304*a^11*(-b)^(37/4)*c - 576*a^12*(-b)^(37/4)*c - 1472*a^9*(-b)^(41/4)*c - 1536*a^13*(-b)^(37/4)*c - 7680*a^10*(-b)^(41/4)*c - 11328*a^11*(-b)^(41/4)*c - 2240*a^8*(-b)^(45/4)*c - 5120*a^12*(-b)^(41/4)*c - 8064*a^9*(-b)^(45/4)*c - 9408*a^10*(-b)^(45/4)*c - 3584*a^11*(-b)^(45/4)*c))/(a^7*b^18 + 9*a^8*b^18*c + 36*a^9*b^18*c^2 + 84*a^10*b^18*c^3 + 126*a^11*b^18*c^4 + 126*a^12*b^18*c^5 + 84*a^13*b^18*c^6 + 36*a^14*b^18*c^7 + 9*a^15*b^18*c^8 + a^16*b^18*c^9) - (64*((-b)^(7/4)*1i - (a*(-b)^(3/4)*(4*b + b*c + 1)*1i)/4)*(-(b*x - 1)/(c + x))^(1/4)*(16*a^13*(-b)^(11/2) - 80*a^12*(-b)^(13/2) - 80*a^11*(-b)^(15/2) - 128*a^13*(-b)^(13/2) + 400*a^10*(-b)^(17/2) + 128*a^12*(-b)^(15/2) + 896*a^9*(-b)^(19/2) + 1152*a^11*(-b)^(17/2) + 256*a^13*(-b)^(15/2) + 512*a^8*(-b)^(21/2) + 1920*a^10*(-b)^(19/2) + 768*a^12*(-b)^(17/2) + 1024*a^9*(-b)^(21/2) + 1024*a^11*(-b)^(19/2) + 512*a^10*(-b)^(21/2) + 448*a^13*(-b)^(15/2)*c^2 - 1344*a^12*(-b)^(17/2)*c^2 - 2624*a^11*(-b)^(19/2)*c^2 - 2688*a^13*(-b)^(17/2)*c^2 + 1088*a^10*(-b)^(21/2)*c^2 + 128*a^12*(-b)^(19/2)*c^2 - 896*a^13*(-b)^(17/2)*c^3 + 9600*a^9*(-b)^(23/2)*c^2 + 9344*a^11*(-b)^(21/2)*c^2 + 1792*a^12*(-b)^(19/2)*c^3 + 4096*a^13*(-b)^(19/2)*c^2 + 7680*a^8*(-b)^(25/2)*c^2 + 21888*a^10*(-b)^(23/2)*c^2 + 4096*a^11*(-b)^(21/2)*c^3 + 8704*a^12*(-b)^(21/2)*c^2 + 4480*a^13*(-b)^(19/2)*c^3 + 15360*a^9*(-b)^(25/2)*c^2 + 3328*a^10*(-b)^(23/2)*c^3 + 12288*a^11*(-b)^(23/2)*c^2 + 128*a^12*(-b)^(21/2)*c^3 + 1120*a^13*(-b)^(19/2)*c^4 - 8320*a^9*(-b)^(25/2)*c^3 + 7680*a^10*(-b)^(25/2)*c^2 - 4992*a^11*(-b)^(23/2)*c^3 - 1120*a^12*(-b)^(21/2)*c^4 - 6656*a^13*(-b)^(21/2)*c^3 - 10240*a^8*(-b)^(27/2)*c^3 - 21120*a^10*(-b)^(25/2)*c^3 - 2400*a^11*(-b)^(23/2)*c^4 - 9216*a^12*(-b)^(23/2)*c^3 - 4480*a^13*(-b)^(21/2)*c^4 - 20480*a^9*(-b)^(27/2)*c^3 - 7200*a^10*(-b)^(25/2)*c^4 - 12800*a^11*(-b)^(25/2)*c^3 + 1920*a^12*(-b)^(23/2)*c^4 - 896*a^13*(-b)^(21/2)*c^5 + 640*a^9*(-b)^(27/2)*c^4 - 10240*a^10*(-b)^(27/2)*c^3 - 3200*a^11*(-b)^(25/2)*c^4 + 7680*a^13*(-b)^(23/2)*c^4 + 7680*a^8*(-b)^(29/2)*c^4 + 5760*a^10*(-b)^(27/2)*c^4 - 1280*a^11*(-b)^(25/2)*c^5 + 5120*a^12*(-b)^(25/2)*c^4 + 2688*a^13*(-b)^(23/2)*c^5 + 15360*a^9*(-b)^(29/2)*c^4 + 5120*a^10*(-b)^(27/2)*c^5 + 5120*a^11*(-b)^(27/2)*c^4 - 5248*a^12*(-b)^(25/2)*c^5 + 448*a^13*(-b)^(23/2)*c^6 + 4224*a^9*(-b)^(29/2)*c^5 + 7680*a^10*(-b)^(29/2)*c^4 + 3968*a^11*(-b)^(27/2)*c^5 + 448*a^12*(-b)^(25/2)*c^6 - 6656*a^13*(-b)^(25/2)*c^5 - 3072*a^8*(-b)^(31/2)*c^5 + 5760*a^10*(-b)^(29/2)*c^5 + 2752*a^11*(-b)^(27/2)*c^6 - 2048*a^12*(-b)^(27/2)*c^5 - 896*a^13*(-b)^(25/2)*c^6 - 6144*a^9*(-b)^(31/2)*c^5 - 704*a^10*(-b)^(29/2)*c^6 + 1536*a^11*(-b)^(29/2)*c^5 + 5504*a^12*(-b)^(27/2)*c^6 - 128*a^13*(-b)^(25/2)*c^7 - 2944*a^9*(-b)^(31/2)*c^6 - 3072*a^10*(-b)^(31/2)*c^5 + 384*a^11*(-b)^(29/2)*c^6 - 256*a^12*(-b)^(27/2)*c^7 + 4096*a^13*(-b)^(27/2)*c^6 + 512*a^8*(-b)^(33/2)*c^6 - 4992*a^10*(-b)^(31/2)*c^6 - 1536*a^11*(-b)^(29/2)*c^7 + 1536*a^12*(-b)^(29/2)*c^6 + 128*a^13*(-b)^(27/2)*c^7 + 1024*a^9*(-b)^(33/2)*c^6 - 768*a^10*(-b)^(31/2)*c^7 - 2048*a^11*(-b)^(31/2)*c^6 - 2688*a^12*(-b)^(29/2)*c^7 + 16*a^13*(-b)^(27/2)*c^8 + 640*a^9*(-b)^(33/2)*c^7 + 512*a^10*(-b)^(33/2)*c^6 - 1664*a^11*(-b)^(31/2)*c^7 + 48*a^12*(-b)^(29/2)*c^8 - 1536*a^13*(-b)^(29/2)*c^7 + 1152*a^10*(-b)^(33/2)*c^7 + 304*a^11*(-b)^(31/2)*c^8 - 1024*a^12*(-b)^(31/2)*c^7 + 272*a^10*(-b)^(33/2)*c^8 + 512*a^11*(-b)^(33/2)*c^7 + 512*a^12*(-b)^(31/2)*c^8 + 512*a^11*(-b)^(33/2)*c^8 + 256*a^13*(-b)^(31/2)*c^8 + 256*a^12*(-b)^(33/2)*c^8 - 128*a^13*(-b)^(13/2)*c + 512*a^12*(-b)^(15/2)*c + 768*a^11*(-b)^(17/2)*c + 896*a^13*(-b)^(15/2)*c - 1536*a^10*(-b)^(19/2)*c - 384*a^12*(-b)^(17/2)*c - 4736*a^9*(-b)^(21/2)*c - 5504*a^11*(-b)^(19/2)*c - 1536*a^13*(-b)^(17/2)*c - 3072*a^8*(-b)^(23/2)*c - 10368*a^10*(-b)^(21/2)*c - 4096*a^12*(-b)^(19/2)*c - 6144*a^9*(-b)^(23/2)*c - 5632*a^11*(-b)^(21/2)*c - 3072*a^10*(-b)^(23/2)*c))/(a^2*(-b)^(9/4)*(a^6*b^17 + 9*a^7*b^17*c + 36*a^8*b^17*c^2 + 84*a^9*b^17*c^3 + 126*a^10*b^17*c^4 + 126*a^11*b^17*c^5 + 84*a^12*b^17*c^6 + 36*a^13*b^17*c^7 + 9*a^14*b^17*c^8 + a^15*b^17*c^9))))/(a^6*b^6) + (64*(-(b*x - 1)/(c + x))^(1/4)*(512*(-b)^(19/2) + a^5*(-b)^(9/2) + a^4*(-b)^(11/2) + 2*a^6*(-b)^(9/2) - 16*a^3*(-b)^(13/2) + 18*a^5*(-b)^(11/2) + a^7*(-b)^(9/2) - 144*a^2*(-b)^(15/2) - 176*a^4*(-b)^(13/2) + 49*a^6*(-b)^(11/2) - 576*a^3*(-b)^(15/2) - 560*a^5*(-b)^(13/2) + 48*a^7*(-b)^(11/2) + 2688*a^2*(-b)^(17/2) - 608*a^4*(-b)^(15/2) - 784*a^6*(-b)^(13/2) + 16*a^8*(-b)^(11/2) + 7680*a^3*(-b)^(17/2) + 448*a^5*(-b)^(15/2) - 512*a^7*(-b)^(13/2) + 7680*a^2*(-b)^(19/2) + 11520*a^4*(-b)^(17/2) + 1392*a^6*(-b)^(15/2) - 128*a^8*(-b)^(13/2) + 10240*a^3*(-b)^(19/2) + 9600*a^5*(-b)^(17/2) + 1024*a^7*(-b)^(15/2) + 7680*a^4*(-b)^(19/2) + 4224*a^6*(-b)^(17/2) + 256*a^8*(-b)^(15/2) + 3072*a^5*(-b)^(19/2) + 768*a^7*(-b)^(17/2) + 512*a^6*(-b)^(19/2) + 7680*(-b)^(23/2)*c^2 - 10240*(-b)^(25/2)*c^3 + 7680*(-b)^(27/2)*c^4 - 3072*(-b)^(29/2)*c^5 + 512*(-b)^(31/2)*c^6 + 384*a*(-b)^(17/2) + 3072*a*(-b)^(19/2) - 3072*(-b)^(21/2)*c + a^7*(-b)^(9/2)*c^2 - 35*a^6*(-b)^(11/2)*c^2 + 2*a^8*(-b)^(9/2)*c^2 + 265*a^5*(-b)^(13/2)*c^2 - 86*a^7*(-b)^(11/2)*c^2 + a^9*(-b)^(9/2)*c^2 - 851*a^4*(-b)^(15/2)*c^2 + 738*a^6*(-b)^(13/2)*c^2 - 10*a^7*(-b)^(11/2)*c^3 - 67*a^8*(-b)^(11/2)*c^2 + 2496*a^3*(-b)^(17/2)*c^2 - 2566*a^5*(-b)^(15/2)*c^2 + 224*a^6*(-b)^(13/2)*c^3 + 649*a^7*(-b)^(13/2)*c^2 - 20*a^8*(-b)^(11/2)*c^3 - 16*a^9*(-b)^(11/2)*c^2 - 5184*a^2*(-b)^(19/2)*c^2 + 10432*a^4*(-b)^(17/2)*c^2 - 1358*a^5*(-b)^(15/2)*c^3 - 1907*a^6*(-b)^(15/2)*c^2 + 592*a^7*(-b)^(13/2)*c^3 + 144*a^8*(-b)^(13/2)*c^2 - 10*a^9*(-b)^(11/2)*c^3 - 31104*a^3*(-b)^(19/2)*c^2 + 3784*a^4*(-b)^(17/2)*c^3 + 14912*a^5*(-b)^(17/2)*c^2 - 4364*a^6*(-b)^(15/2)*c^3 + 45*a^7*(-b)^(13/2)*c^4 + 1120*a^7*(-b)^(15/2)*c^2 + 512*a^8*(-b)^(13/2)*c^3 - 32*a^9*(-b)^(13/2)*c^2 + 1152*a^2*(-b)^(21/2)*c^2 - 7552*a^3*(-b)^(19/2)*c^3 - 74624*a^4*(-b)^(19/2)*c^2 + 14288*a^5*(-b)^(17/2)*c^3 - 771*a^6*(-b)^(15/2)*c^4 + 5824*a^6*(-b)^(17/2)*c^2 - 4974*a^7*(-b)^(15/2)*c^3 + 90*a^8*(-b)^(13/2)*c^4 + 1952*a^8*(-b)^(15/2)*c^2 + 144*a^9*(-b)^(13/2)*c^3 + 6912*a^2*(-b)^(21/2)*c^3 + 23040*a^3*(-b)^(21/2)*c^2 - 36800*a^4*(-b)^(19/2)*c^3 + 3874*a^5*(-b)^(17/2)*c^4 - 91136*a^5*(-b)^(19/2)*c^2 + 19144*a^6*(-b)^(17/2)*c^3 - 2118*a^7*(-b)^(15/2)*c^4 - 5120*a^7*(-b)^(17/2)*c^2 - 2288*a^8*(-b)^(15/2)*c^3 + 45*a^9*(-b)^(13/2)*c^4 + 640*a^9*(-b)^(15/2)*c^2 + 115200*a^2*(-b)^(23/2)*c^2 + 49536*a^3*(-b)^(21/2)*c^3 - 8750*a^4*(-b)^(19/2)*c^4 + 57600*a^4*(-b)^(21/2)*c^2 - 68032*a^5*(-b)^(19/2)*c^3 + 13444*a^6*(-b)^(17/2)*c^4 - 58944*a^6*(-b)^(19/2)*c^2 - 120*a^7*(-b)^(15/2)*c^5 + 9664*a^7*(-b)^(17/2)*c^3 - 1923*a^8*(-b)^(15/2)*c^4 - 5248*a^8*(-b)^(17/2)*c^2 - 320*a^9*(-b)^(15/2)*c^3 + 44160*a^2*(-b)^(23/2)*c^3 + 11040*a^3*(-b)^(21/2)*c^4 + 153600*a^3*(-b)^(23/2)*c^2 + 137728*a^4*(-b)^(21/2)*c^3 - 36988*a^5*(-b)^(19/2)*c^4 + 63360*a^5*(-b)^(21/2)*c^2 + 1644*a^6*(-b)^(17/2)*c^5 - 56512*a^6*(-b)^(19/2)*c^3 + 17058*a^7*(-b)^(17/2)*c^4 - 18560*a^7*(-b)^(19/2)*c^2 - 240*a^8*(-b)^(15/2)*c^5 + 128*a^8*(-b)^(17/2)*c^3 - 576*a^9*(-b)^(15/2)*c^4 - 1280*a^9*(-b)^(17/2)*c^2 - 480*a^2*(-b)^(23/2)*c^4 + 76800*a^3*(-b)^(23/2)*c^3 + 60640*a^4*(-b)^(21/2)*c^4 + 115200*a^4*(-b)^(23/2)*c^2 - 6776*a^5*(-b)^(19/2)*c^5 + 193792*a^5*(-b)^(21/2)*c^3 - 59150*a^6*(-b)^(19/2)*c^4 + 33408*a^6*(-b)^(21/2)*c^2 + 4632*a^7*(-b)^(17/2)*c^5 - 16064*a^7*(-b)^(19/2)*c^3 + 9280*a^8*(-b)^(17/2)*c^4 - 2048*a^8*(-b)^(19/2)*c^2 - 120*a^9*(-b)^(15/2)*c^5 - 896*a^9*(-b)^(17/2)*c^3 - 153600*a^2*(-b)^(25/2)*c^3 - 23040*a^3*(-b)^(23/2)*c^4 + 11620*a^4*(-b)^(21/2)*c^5 + 57600*a^4*(-b)^(23/2)*c^3 + 128864*a^5*(-b)^(21/2)*c^4 + 46080*a^5*(-b)^(23/2)*c^2 - 24752*a^6*(-b)^(19/2)*c^5 + 146688*a^6*(-b)^(21/2)*c^3 + 210*a^7*(-b)^(17/2)*c^6 - 43232*a^7*(-b)^(19/2)*c^4 + 6912*a^7*(-b)^(21/2)*c^2 + 4332*a^8*(-b)^(17/2)*c^5 + 3968*a^8*(-b)^(19/2)*c^3 + 1792*a^9*(-b)^(17/2)*c^4 - 90240*a^2*(-b)^(25/2)*c^4 - 7104*a^3*(-b)^(23/2)*c^5 - 204800*a^3*(-b)^(25/2)*c^3 - 100160*a^4*(-b)^(23/2)*c^4 + 53480*a^5*(-b)^(21/2)*c^5 + 9600*a^5*(-b)^(23/2)*c^3 - 2310*a^6*(-b)^(19/2)*c^6 + 131872*a^6*(-b)^(21/2)*c^4 + 7680*a^6*(-b)^(23/2)*c^2 - 33432*a^7*(-b)^(19/2)*c^5 + 56704*a^7*(-b)^(21/2)*c^3 + 420*a^8*(-b)^(17/2)*c^6 - 13216*a^8*(-b)^(19/2)*c^4 + 1344*a^9*(-b)^(17/2)*c^5 + 2304*a^9*(-b)^(19/2)*c^3 - 9216*a^2*(-b)^(25/2)*c^5 - 192000*a^3*(-b)^(25/2)*c^4 - 48224*a^4*(-b)^(23/2)*c^5 - 153600*a^4*(-b)^(25/2)*c^3 + 7546*a^5*(-b)^(21/2)*c^6 - 179840*a^5*(-b)^(23/2)*c^4 + 94948*a^6*(-b)^(21/2)*c^5 - 9600*a^6*(-b)^(23/2)*c^3 - 6636*a^7*(-b)^(19/2)*c^6 + 63232*a^7*(-b)^(21/2)*c^4 - 19712*a^8*(-b)^(19/2)*c^5 + 8704*a^8*(-b)^(21/2)*c^3 + 210*a^9*(-b)^(17/2)*c^6 - 896*a^9*(-b)^(19/2)*c^4 + 115200*a^2*(-b)^(27/2)*c^4 - 31104*a^3*(-b)^(25/2)*c^5 - 8750*a^4*(-b)^(23/2)*c^6 - 211200*a^4*(-b)^(25/2)*c^4 - 121120*a^5*(-b)^(23/2)*c^5 - 61440*a^5*(-b)^(25/2)*c^3 + 28756*a^6*(-b)^(21/2)*c^6 - 161760*a^6*(-b)^(23/2)*c^4 - 252*a^7*(-b)^(19/2)*c^7 + 80416*a^7*(-b)^(21/2)*c^5 - 3840*a^7*(-b)^(23/2)*c^3 - 6342*a^8*(-b)^(19/2)*c^6 + 9344*a^8*(-b)^(21/2)*c^4 - 4256*a^9*(-b)^(19/2)*c^5 + 81792*a^2*(-b)^(27/2)*c^5 - 832*a^3*(-b)^(25/2)*c^6 + 153600*a^3*(-b)^(27/2)*c^4 - 23552*a^4*(-b)^(25/2)*c^5 - 44380*a^5*(-b)^(23/2)*c^6 - 124800*a^5*(-b)^(25/2)*c^4 + 2184*a^6*(-b)^(21/2)*c^7 - 146336*a^6*(-b)^(23/2)*c^5 - 10240*a^6*(-b)^(25/2)*c^3 + 40698*a^7*(-b)^(21/2)*c^6 - 72320*a^7*(-b)^(23/2)*c^4 - 504*a^8*(-b)^(19/2)*c^7 + 31808*a^8*(-b)^(21/2)*c^5 - 2016*a^9*(-b)^(19/2)*c^6 - 1280*a^9*(-b)^(21/2)*c^4 + 10944*a^2*(-b)^(27/2)*c^6 + 184320*a^3*(-b)^(27/2)*c^5 + 8896*a^4*(-b)^(25/2)*c^6 + 115200*a^4*(-b)^(27/2)*c^4 - 5300*a^5*(-b)^(23/2)*c^7 + 32512*a^5*(-b)^(25/2)*c^5 - 86702*a^6*(-b)^(23/2)*c^6 - 36480*a^6*(-b)^(25/2)*c^4 + 6384*a^7*(-b)^(21/2)*c^7 - 87968*a^7*(-b)^(23/2)*c^5 + 25312*a^8*(-b)^(21/2)*c^6 - 12800*a^8*(-b)^(23/2)*c^4 - 252*a^9*(-b)^(19/2)*c^7 + 4480*a^9*(-b)^(21/2)*c^5 - 46080*a^2*(-b)^(29/2)*c^5 + 49536*a^3*(-b)^(27/2)*c^6 + 3016*a^4*(-b)^(25/2)*c^7 + 218880*a^4*(-b)^(27/2)*c^5 + 44864*a^5*(-b)^(25/2)*c^6 + 46080*a^5*(-b)^(27/2)*c^4 - 21128*a^6*(-b)^(23/2)*c^7 + 66048*a^6*(-b)^(25/2)*c^5 + 210*a^7*(-b)^(21/2)*c^8 - 81536*a^7*(-b)^(23/2)*c^6 - 3840*a^7*(-b)^(25/2)*c^4 + 6216*a^8*(-b)^(21/2)*c^7 - 22912*a^8*(-b)^(23/2)*c^5 + 5824*a^9*(-b)^(21/2)*c^6 - 36480*a^2*(-b)^(29/2)*c^6 + 4224*a^3*(-b)^(27/2)*c^7 - 61440*a^3*(-b)^(29/2)*c^5 + 86656*a^4*(-b)^(27/2)*c^6 + 18896*a^5*(-b)^(25/2)*c^7 + 144000*a^5*(-b)^(27/2)*c^5 - 1374*a^6*(-b)^(23/2)*c^8 + 75200*a^6*(-b)^(25/2)*c^6 + 7680*a^6*(-b)^(27/2)*c^4 - 31284*a^7*(-b)^(23/2)*c^7 + 40576*a^7*(-b)^(25/2)*c^5 + 420*a^8*(-b)^(21/2)*c^8 - 36736*a^8*(-b)^(23/2)*c^6 + 2016*a^9*(-b)^(21/2)*c^7 - 1280*a^9*(-b)^(23/2)*c^5 - 5376*a^2*(-b)^(29/2)*c^7 - 84480*a^3*(-b)^(29/2)*c^6 + 13888*a^4*(-b)^(27/2)*c^7 - 46080*a^4*(-b)^(29/2)*c^5 + 2173*a^5*(-b)^(25/2)*c^8 + 70144*a^5*(-b)^(27/2)*c^6 + 42952*a^6*(-b)^(25/2)*c^7 + 49536*a^6*(-b)^(27/2)*c^5 - 4092*a^7*(-b)^(23/2)*c^8 + 57856*a^7*(-b)^(25/2)*c^6 - 20384*a^8*(-b)^(23/2)*c^7 + 8704*a^8*(-b)^(25/2)*c^5 + 210*a^9*(-b)^(21/2)*c^8 - 6272*a^9*(-b)^(23/2)*c^6 + 7680*a^2*(-b)^(31/2)*c^6 - 26496*a^3*(-b)^(29/2)*c^7 + 301*a^4*(-b)^(27/2)*c^8 - 103680*a^4*(-b)^(29/2)*c^6 + 12608*a^5*(-b)^(27/2)*c^7 - 18432*a^5*(-b)^(29/2)*c^5 + 9274*a^6*(-b)^(25/2)*c^8 + 21696*a^6*(-b)^(27/2)*c^6 - 120*a^7*(-b)^(23/2)*c^9 + 45760*a^7*(-b)^(25/2)*c^7 + 6912*a^7*(-b)^(27/2)*c^5 - 4062*a^8*(-b)^(23/2)*c^8 + 20096*a^8*(-b)^(25/2)*c^6 - 4928*a^9*(-b)^(23/2)*c^7 + 6528*a^2*(-b)^(31/2)*c^7 - 2448*a^3*(-b)^(29/2)*c^8 + 10240*a^3*(-b)^(31/2)*c^6 - 52736*a^4*(-b)^(29/2)*c^7 - 1558*a^5*(-b)^(27/2)*c^8 - 71040*a^5*(-b)^(29/2)*c^6 + 546*a^6*(-b)^(25/2)*c^9 - 4544*a^6*(-b)^(27/2)*c^7 - 3072*a^6*(-b)^(29/2)*c^5 + 14589*a^7*(-b)^(25/2)*c^8 - 2432*a^7*(-b)^(27/2)*c^6 - 240*a^8*(-b)^(23/2)*c^9 + 23168*a^8*(-b)^(25/2)*c^7 - 1344*a^9*(-b)^(23/2)*c^8 + 2304*a^9*(-b)^(25/2)*c^6 + 1008*a^2*(-b)^(31/2)*c^8 + 15360*a^3*(-b)^(31/2)*c^7 - 10160*a^4*(-b)^(29/2)*c^8 + 7680*a^4*(-b)^(31/2)*c^6 - 384*a^5*(-b)^(27/2)*c^9 - 53504*a^5*(-b)^(29/2)*c^7 - 8099*a^6*(-b)^(27/2)*c^8 - 25728*a^6*(-b)^(29/2)*c^6 + 1668*a^7*(-b)^(25/2)*c^9 - 13760*a^7*(-b)^(27/2)*c^7 + 10048*a^8*(-b)^(25/2)*c^8 - 2048*a^8*(-b)^(27/2)*c^6 - 120*a^9*(-b)^(23/2)*c^9 + 4480*a^9*(-b)^(25/2)*c^7 + 5184*a^3*(-b)^(31/2)*c^8 - 570*a^4*(-b)^(29/2)*c^9 + 19200*a^4*(-b)^(31/2)*c^7 - 16048*a^5*(-b)^(29/2)*c^8 + 3072*a^5*(-b)^(31/2)*c^6 - 1984*a^6*(-b)^(27/2)*c^9 - 28416*a^6*(-b)^(29/2)*c^7 + 45*a^7*(-b)^(25/2)*c^10 - 11984*a^7*(-b)^(27/2)*c^8 - 3840*a^7*(-b)^(29/2)*c^6 + 1698*a^8*(-b)^(25/2)*c^9 - 7552*a^8*(-b)^(27/2)*c^7 + 2560*a^9*(-b)^(25/2)*c^8 + 480*a^3*(-b)^(31/2)*c^9 + 10912*a^4*(-b)^(31/2)*c^8 - 1732*a^5*(-b)^(29/2)*c^9 + 13440*a^5*(-b)^(31/2)*c^7 - 119*a^6*(-b)^(27/2)*c^10 - 11408*a^6*(-b)^(29/2)*c^8 + 512*a^6*(-b)^(31/2)*c^6 - 3568*a^7*(-b)^(27/2)*c^9 - 7040*a^7*(-b)^(29/2)*c^7 + 90*a^8*(-b)^(25/2)*c^10 - 7408*a^8*(-b)^(27/2)*c^8 + 576*a^9*(-b)^(25/2)*c^9 - 1280*a^9*(-b)^(27/2)*c^7 + 2160*a^4*(-b)^(31/2)*c^9 - 35*a^5*(-b)^(29/2)*c^10 + 11968*a^5*(-b)^(31/2)*c^8 - 1530*a^6*(-b)^(29/2)*c^9 + 4992*a^6*(-b)^(31/2)*c^7 - 382*a^7*(-b)^(27/2)*c^10 - 2816*a^7*(-b)^(29/2)*c^8 - 2720*a^8*(-b)^(27/2)*c^9 - 512*a^8*(-b)^(29/2)*c^7 + 45*a^9*(-b)^(25/2)*c^10 - 1664*a^9*(-b)^(27/2)*c^8 + 129*a^4*(-b)^(31/2)*c^10 + 3856*a^5*(-b)^(31/2)*c^9 + 10*a^6*(-b)^(29/2)*c^10 + 7152*a^6*(-b)^(31/2)*c^8 - 10*a^7*(-b)^(27/2)*c^11 + 112*a^7*(-b)^(29/2)*c^9 + 768*a^7*(-b)^(31/2)*c^7 - 407*a^8*(-b)^(27/2)*c^10 + 512*a^8*(-b)^(29/2)*c^8 - 752*a^9*(-b)^(27/2)*c^9 + 482*a^5*(-b)^(31/2)*c^10 + 8*a^6*(-b)^(29/2)*c^11 + 3408*a^6*(-b)^(31/2)*c^9 + 221*a^7*(-b)^(29/2)*c^10 + 2176*a^7*(-b)^(31/2)*c^8 - 20*a^8*(-b)^(27/2)*c^11 + 736*a^8*(-b)^(29/2)*c^9 - 144*a^9*(-b)^(27/2)*c^10 + 256*a^9*(-b)^(29/2)*c^8 + 18*a^5*(-b)^(31/2)*c^11 + 673*a^6*(-b)^(31/2)*c^10 + 32*a^7*(-b)^(29/2)*c^11 + 1488*a^7*(-b)^(31/2)*c^9 + 272*a^8*(-b)^(29/2)*c^10 + 256*a^8*(-b)^(31/2)*c^8 - 10*a^9*(-b)^(27/2)*c^11 + 256*a^9*(-b)^(29/2)*c^9 + 52*a^6*(-b)^(31/2)*c^11 + a^7*(-b)^(29/2)*c^12 + 416*a^7*(-b)^(31/2)*c^10 + 40*a^8*(-b)^(29/2)*c^11 + 256*a^8*(-b)^(31/2)*c^9 + 96*a^9*(-b)^(29/2)*c^10 + a^6*(-b)^(31/2)*c^12 + 50*a^7*(-b)^(31/2)*c^11 + 2*a^8*(-b)^(29/2)*c^12 + 96*a^8*(-b)^(31/2)*c^10 + 16*a^9*(-b)^(29/2)*c^11 + 2*a^7*(-b)^(31/2)*c^12 + 16*a^8*(-b)^(31/2)*c^11 + a^9*(-b)^(29/2)*c^12 + a^8*(-b)^(31/2)*c^12 - 1152*a*(-b)^(19/2)*c - 18432*a*(-b)^(21/2)*c + 2*a^6*(-b)^(9/2)*c - 24*a^5*(-b)^(11/2)*c + 4*a^7*(-b)^(9/2)*c + 70*a^4*(-b)^(13/2)*c - 48*a^6*(-b)^(11/2)*c + 2*a^8*(-b)^(9/2)*c - 288*a^3*(-b)^(15/2)*c + 60*a^5*(-b)^(13/2)*c - 8*a^7*(-b)^(11/2)*c + 1536*a^2*(-b)^(17/2)*c - 656*a^4*(-b)^(15/2)*c - 378*a^6*(-b)^(13/2)*c + 32*a^8*(-b)^(11/2)*c + 8064*a^3*(-b)^(17/2)*c + 656*a^5*(-b)^(15/2)*c - 784*a^7*(-b)^(13/2)*c + 16*a^9*(-b)^(11/2)*c - 9600*a^2*(-b)^(19/2)*c + 16384*a^4*(-b)^(17/2)*c + 3280*a^6*(-b)^(15/2)*c - 544*a^8*(-b)^(13/2)*c - 30720*a^3*(-b)^(19/2)*c + 15616*a^5*(-b)^(17/2)*c + 3664*a^7*(-b)^(15/2)*c - 128*a^9*(-b)^(13/2)*c - 1152*a*(-b)^(21/2)*c^2 - 46080*a^2*(-b)^(21/2)*c - 49920*a^4*(-b)^(19/2)*c + 6144*a^6*(-b)^(17/2)*c + 1664*a^8*(-b)^(15/2)*c - 61440*a^3*(-b)^(21/2)*c - 44160*a^5*(-b)^(19/2)*c - 128*a^7*(-b)^(17/2)*c + 256*a^9*(-b)^(15/2)*c + 46080*a*(-b)^(23/2)*c^2 - 46080*a^4*(-b)^(21/2)*c - 20352*a^6*(-b)^(19/2)*c - 512*a^8*(-b)^(17/2)*c + 9600*a*(-b)^(23/2)*c^3 - 18432*a^5*(-b)^(21/2)*c - 3840*a^7*(-b)^(19/2)*c - 3072*a^6*(-b)^(21/2)*c - 61440*a*(-b)^(25/2)*c^3 - 17280*a*(-b)^(25/2)*c^4 + 46080*a*(-b)^(27/2)*c^4 + 14976*a*(-b)^(27/2)*c^5 - 18432*a*(-b)^(29/2)*c^5 - 6528*a*(-b)^(29/2)*c^6 + 3072*a*(-b)^(31/2)*c^6 + 1152*a*(-b)^(31/2)*c^7))/((-b)^(1/4)*(a^6*b^17 + 9*a^7*b^17*c + 36*a^8*b^17*c^2 + 84*a^9*b^17*c^3 + 126*a^10*b^17*c^4 + 126*a^11*b^17*c^5 + 84*a^12*b^17*c^6 + 36*a^13*b^17*c^7 + 9*a^14*b^17*c^8 + a^15*b^17*c^9)))*1i)/(a^2*b^2) - (((-b)^(7/4)*1i - (a*(-b)^(3/4)*(4*b + b*c + 1)*1i)/4)*((((-b)^(7/4)*1i - (a*(-b)^(3/4)*(4*b + b*c + 1)*1i)/4)^3*((64*(36*a^12*(-b)^(25/4) - 4*a^13*(-b)^(21/4) + 48*a^13*(-b)^(25/4) - 60*a^11*(-b)^(29/4) - 240*a^12*(-b)^(29/4) - 192*a^13*(-b)^(29/4) - 180*a^10*(-b)^(33/4) - 240*a^11*(-b)^(33/4) + 192*a^12*(-b)^(33/4) + 240*a^9*(-b)^(37/4) + 256*a^13*(-b)^(33/4) + 1200*a^10*(-b)^(37/4) + 1728*a^11*(-b)^(37/4) + 320*a^8*(-b)^(41/4) + 768*a^12*(-b)^(37/4) + 1152*a^9*(-b)^(41/4) + 1344*a^10*(-b)^(41/4) + 512*a^11*(-b)^(41/4) - 144*a^13*(-b)^(29/4)*c^2 + 912*a^12*(-b)^(33/4)*c^2 + 1344*a^13*(-b)^(33/4)*c^2 + 336*a^13*(-b)^(33/4)*c^3 - 432*a^11*(-b)^(37/4)*c^2 - 4032*a^12*(-b)^(37/4)*c^2 - 1680*a^12*(-b)^(37/4)*c^3 - 4032*a^13*(-b)^(37/4)*c^2 - 4624*a^10*(-b)^(41/4)*c^2 - 2688*a^13*(-b)^(37/4)*c^3 - 9408*a^11*(-b)^(41/4)*c^2 - 504*a^13*(-b)^(37/4)*c^4 - 336*a^11*(-b)^(41/4)*c^3 - 1344*a^12*(-b)^(41/4)*c^2 + 3584*a^9*(-b)^(45/4)*c^2 + 5376*a^12*(-b)^(41/4)*c^3 + 3584*a^13*(-b)^(41/4)*c^2 + 20160*a^10*(-b)^(45/4)*c^2 + 1848*a^12*(-b)^(41/4)*c^4 + 6720*a^13*(-b)^(41/4)*c^3 + 8848*a^10*(-b)^(45/4)*c^3 + 30912*a^11*(-b)^(45/4)*c^2 + 3360*a^13*(-b)^(41/4)*c^4 + 6720*a^8*(-b)^(49/4)*c^2 + 21504*a^11*(-b)^(45/4)*c^3 + 14336*a^12*(-b)^(45/4)*c^2 + 504*a^13*(-b)^(41/4)*c^5 + 24192*a^9*(-b)^(49/4)*c^2 + 1848*a^11*(-b)^(45/4)*c^4 + 9408*a^12*(-b)^(45/4)*c^3 - 4032*a^9*(-b)^(49/4)*c^3 + 28224*a^10*(-b)^(49/4)*c^2 - 3360*a^12*(-b)^(45/4)*c^4 - 3584*a^13*(-b)^(45/4)*c^3 - 26880*a^10*(-b)^(49/4)*c^3 + 10752*a^11*(-b)^(49/4)*c^2 - 1176*a^12*(-b)^(45/4)*c^5 - 6720*a^13*(-b)^(45/4)*c^4 - 10584*a^10*(-b)^(49/4)*c^4 - 44352*a^11*(-b)^(49/4)*c^3 - 2688*a^13*(-b)^(45/4)*c^5 - 11200*a^8*(-b)^(53/4)*c^3 - 30240*a^11*(-b)^(49/4)*c^4 - 21504*a^12*(-b)^(49/4)*c^3 - 336*a^13*(-b)^(45/4)*c^6 - 40320*a^9*(-b)^(53/4)*c^3 - 2520*a^11*(-b)^(49/4)*c^5 - 20160*a^12*(-b)^(49/4)*c^4 + 1120*a^9*(-b)^(53/4)*c^4 - 47040*a^10*(-b)^(53/4)*c^3 + 16800*a^10*(-b)^(53/4)*c^4 - 17920*a^11*(-b)^(53/4)*c^3 + 336*a^12*(-b)^(49/4)*c^6 + 4032*a^13*(-b)^(49/4)*c^5 + 8120*a^10*(-b)^(53/4)*c^5 + 33600*a^11*(-b)^(53/4)*c^4 + 1344*a^13*(-b)^(49/4)*c^6 + 11200*a^8*(-b)^(57/4)*c^4 + 26880*a^11*(-b)^(53/4)*c^5 + 17920*a^12*(-b)^(53/4)*c^4 + 144*a^13*(-b)^(49/4)*c^7 + 40320*a^9*(-b)^(57/4)*c^4 + 1680*a^11*(-b)^(53/4)*c^6 + 22848*a^12*(-b)^(53/4)*c^5 + 2240*a^9*(-b)^(57/4)*c^5 + 47040*a^10*(-b)^(57/4)*c^4 + 1344*a^12*(-b)^(53/4)*c^6 + 3584*a^13*(-b)^(53/4)*c^5 + 17920*a^11*(-b)^(57/4)*c^4 + 48*a^12*(-b)^(53/4)*c^7 - 1344*a^13*(-b)^(53/4)*c^6 - 3920*a^10*(-b)^(57/4)*c^6 - 9408*a^11*(-b)^(57/4)*c^5 - 384*a^13*(-b)^(53/4)*c^7 - 6720*a^8*(-b)^(61/4)*c^5 - 14784*a^11*(-b)^(57/4)*c^6 - 7168*a^12*(-b)^(57/4)*c^5 - 36*a^13*(-b)^(53/4)*c^8 - 24192*a^9*(-b)^(61/4)*c^5 - 528*a^11*(-b)^(57/4)*c^7 - 14784*a^12*(-b)^(57/4)*c^6 - 2688*a^9*(-b)^(61/4)*c^6 - 28224*a^10*(-b)^(61/4)*c^5 - 768*a^12*(-b)^(57/4)*c^7 - 3584*a^13*(-b)^(57/4)*c^6 - 6720*a^10*(-b)^(61/4)*c^6 - 10752*a^11*(-b)^(61/4)*c^5 - 60*a^12*(-b)^(57/4)*c^8 + 192*a^13*(-b)^(57/4)*c^7 + 1104*a^10*(-b)^(61/4)*c^7 - 4032*a^11*(-b)^(61/4)*c^6 + 48*a^13*(-b)^(57/4)*c^8 + 2240*a^8*(-b)^(65/4)*c^6 + 4608*a^11*(-b)^(61/4)*c^7 + 4*a^13*(-b)^(57/4)*c^9 + 8064*a^9*(-b)^(65/4)*c^6 + 36*a^11*(-b)^(61/4)*c^8 + 5184*a^12*(-b)^(61/4)*c^7 + 1216*a^9*(-b)^(65/4)*c^7 + 9408*a^10*(-b)^(65/4)*c^6 + 144*a^12*(-b)^(61/4)*c^8 + 1536*a^13*(-b)^(61/4)*c^7 + 3840*a^10*(-b)^(65/4)*c^7 + 3584*a^11*(-b)^(65/4)*c^6 + 12*a^12*(-b)^(61/4)*c^9 - 148*a^10*(-b)^(65/4)*c^8 + 3648*a^11*(-b)^(65/4)*c^7 - 320*a^8*(-b)^(69/4)*c^7 - 624*a^11*(-b)^(65/4)*c^8 + 1024*a^12*(-b)^(65/4)*c^7 - 1152*a^9*(-b)^(69/4)*c^7 + 12*a^11*(-b)^(65/4)*c^9 - 768*a^12*(-b)^(65/4)*c^8 - 208*a^9*(-b)^(69/4)*c^8 - 1344*a^10*(-b)^(69/4)*c^7 - 256*a^13*(-b)^(65/4)*c^8 - 720*a^10*(-b)^(69/4)*c^8 - 512*a^11*(-b)^(69/4)*c^7 + 4*a^10*(-b)^(69/4)*c^9 - 768*a^11*(-b)^(69/4)*c^8 - 256*a^12*(-b)^(69/4)*c^8 + 36*a^13*(-b)^(25/4)*c - 276*a^12*(-b)^(29/4)*c - 384*a^13*(-b)^(29/4)*c + 300*a^11*(-b)^(33/4)*c + 1536*a^12*(-b)^(33/4)*c + 1344*a^13*(-b)^(33/4)*c + 1380*a^10*(-b)^(37/4)*c + 2304*a^11*(-b)^(37/4)*c - 576*a^12*(-b)^(37/4)*c - 1472*a^9*(-b)^(41/4)*c - 1536*a^13*(-b)^(37/4)*c - 7680*a^10*(-b)^(41/4)*c - 11328*a^11*(-b)^(41/4)*c - 2240*a^8*(-b)^(45/4)*c - 5120*a^12*(-b)^(41/4)*c - 8064*a^9*(-b)^(45/4)*c - 9408*a^10*(-b)^(45/4)*c - 3584*a^11*(-b)^(45/4)*c))/(a^7*b^18 + 9*a^8*b^18*c + 36*a^9*b^18*c^2 + 84*a^10*b^18*c^3 + 126*a^11*b^18*c^4 + 126*a^12*b^18*c^5 + 84*a^13*b^18*c^6 + 36*a^14*b^18*c^7 + 9*a^15*b^18*c^8 + a^16*b^18*c^9) + (64*((-b)^(7/4)*1i - (a*(-b)^(3/4)*(4*b + b*c + 1)*1i)/4)*(-(b*x - 1)/(c + x))^(1/4)*(16*a^13*(-b)^(11/2) - 80*a^12*(-b)^(13/2) - 80*a^11*(-b)^(15/2) - 128*a^13*(-b)^(13/2) + 400*a^10*(-b)^(17/2) + 128*a^12*(-b)^(15/2) + 896*a^9*(-b)^(19/2) + 1152*a^11*(-b)^(17/2) + 256*a^13*(-b)^(15/2) + 512*a^8*(-b)^(21/2) + 1920*a^10*(-b)^(19/2) + 768*a^12*(-b)^(17/2) + 1024*a^9*(-b)^(21/2) + 1024*a^11*(-b)^(19/2) + 512*a^10*(-b)^(21/2) + 448*a^13*(-b)^(15/2)*c^2 - 1344*a^12*(-b)^(17/2)*c^2 - 2624*a^11*(-b)^(19/2)*c^2 - 2688*a^13*(-b)^(17/2)*c^2 + 1088*a^10*(-b)^(21/2)*c^2 + 128*a^12*(-b)^(19/2)*c^2 - 896*a^13*(-b)^(17/2)*c^3 + 9600*a^9*(-b)^(23/2)*c^2 + 9344*a^11*(-b)^(21/2)*c^2 + 1792*a^12*(-b)^(19/2)*c^3 + 4096*a^13*(-b)^(19/2)*c^2 + 7680*a^8*(-b)^(25/2)*c^2 + 21888*a^10*(-b)^(23/2)*c^2 + 4096*a^11*(-b)^(21/2)*c^3 + 8704*a^12*(-b)^(21/2)*c^2 + 4480*a^13*(-b)^(19/2)*c^3 + 15360*a^9*(-b)^(25/2)*c^2 + 3328*a^10*(-b)^(23/2)*c^3 + 12288*a^11*(-b)^(23/2)*c^2 + 128*a^12*(-b)^(21/2)*c^3 + 1120*a^13*(-b)^(19/2)*c^4 - 8320*a^9*(-b)^(25/2)*c^3 + 7680*a^10*(-b)^(25/2)*c^2 - 4992*a^11*(-b)^(23/2)*c^3 - 1120*a^12*(-b)^(21/2)*c^4 - 6656*a^13*(-b)^(21/2)*c^3 - 10240*a^8*(-b)^(27/2)*c^3 - 21120*a^10*(-b)^(25/2)*c^3 - 2400*a^11*(-b)^(23/2)*c^4 - 9216*a^12*(-b)^(23/2)*c^3 - 4480*a^13*(-b)^(21/2)*c^4 - 20480*a^9*(-b)^(27/2)*c^3 - 7200*a^10*(-b)^(25/2)*c^4 - 12800*a^11*(-b)^(25/2)*c^3 + 1920*a^12*(-b)^(23/2)*c^4 - 896*a^13*(-b)^(21/2)*c^5 + 640*a^9*(-b)^(27/2)*c^4 - 10240*a^10*(-b)^(27/2)*c^3 - 3200*a^11*(-b)^(25/2)*c^4 + 7680*a^13*(-b)^(23/2)*c^4 + 7680*a^8*(-b)^(29/2)*c^4 + 5760*a^10*(-b)^(27/2)*c^4 - 1280*a^11*(-b)^(25/2)*c^5 + 5120*a^12*(-b)^(25/2)*c^4 + 2688*a^13*(-b)^(23/2)*c^5 + 15360*a^9*(-b)^(29/2)*c^4 + 5120*a^10*(-b)^(27/2)*c^5 + 5120*a^11*(-b)^(27/2)*c^4 - 5248*a^12*(-b)^(25/2)*c^5 + 448*a^13*(-b)^(23/2)*c^6 + 4224*a^9*(-b)^(29/2)*c^5 + 7680*a^10*(-b)^(29/2)*c^4 + 3968*a^11*(-b)^(27/2)*c^5 + 448*a^12*(-b)^(25/2)*c^6 - 6656*a^13*(-b)^(25/2)*c^5 - 3072*a^8*(-b)^(31/2)*c^5 + 5760*a^10*(-b)^(29/2)*c^5 + 2752*a^11*(-b)^(27/2)*c^6 - 2048*a^12*(-b)^(27/2)*c^5 - 896*a^13*(-b)^(25/2)*c^6 - 6144*a^9*(-b)^(31/2)*c^5 - 704*a^10*(-b)^(29/2)*c^6 + 1536*a^11*(-b)^(29/2)*c^5 + 5504*a^12*(-b)^(27/2)*c^6 - 128*a^13*(-b)^(25/2)*c^7 - 2944*a^9*(-b)^(31/2)*c^6 - 3072*a^10*(-b)^(31/2)*c^5 + 384*a^11*(-b)^(29/2)*c^6 - 256*a^12*(-b)^(27/2)*c^7 + 4096*a^13*(-b)^(27/2)*c^6 + 512*a^8*(-b)^(33/2)*c^6 - 4992*a^10*(-b)^(31/2)*c^6 - 1536*a^11*(-b)^(29/2)*c^7 + 1536*a^12*(-b)^(29/2)*c^6 + 128*a^13*(-b)^(27/2)*c^7 + 1024*a^9*(-b)^(33/2)*c^6 - 768*a^10*(-b)^(31/2)*c^7 - 2048*a^11*(-b)^(31/2)*c^6 - 2688*a^12*(-b)^(29/2)*c^7 + 16*a^13*(-b)^(27/2)*c^8 + 640*a^9*(-b)^(33/2)*c^7 + 512*a^10*(-b)^(33/2)*c^6 - 1664*a^11*(-b)^(31/2)*c^7 + 48*a^12*(-b)^(29/2)*c^8 - 1536*a^13*(-b)^(29/2)*c^7 + 1152*a^10*(-b)^(33/2)*c^7 + 304*a^11*(-b)^(31/2)*c^8 - 1024*a^12*(-b)^(31/2)*c^7 + 272*a^10*(-b)^(33/2)*c^8 + 512*a^11*(-b)^(33/2)*c^7 + 512*a^12*(-b)^(31/2)*c^8 + 512*a^11*(-b)^(33/2)*c^8 + 256*a^13*(-b)^(31/2)*c^8 + 256*a^12*(-b)^(33/2)*c^8 - 128*a^13*(-b)^(13/2)*c + 512*a^12*(-b)^(15/2)*c + 768*a^11*(-b)^(17/2)*c + 896*a^13*(-b)^(15/2)*c - 1536*a^10*(-b)^(19/2)*c - 384*a^12*(-b)^(17/2)*c - 4736*a^9*(-b)^(21/2)*c - 5504*a^11*(-b)^(19/2)*c - 1536*a^13*(-b)^(17/2)*c - 3072*a^8*(-b)^(23/2)*c - 10368*a^10*(-b)^(21/2)*c - 4096*a^12*(-b)^(19/2)*c - 6144*a^9*(-b)^(23/2)*c - 5632*a^11*(-b)^(21/2)*c - 3072*a^10*(-b)^(23/2)*c))/(a^2*(-b)^(9/4)*(a^6*b^17 + 9*a^7*b^17*c + 36*a^8*b^17*c^2 + 84*a^9*b^17*c^3 + 126*a^10*b^17*c^4 + 126*a^11*b^17*c^5 + 84*a^12*b^17*c^6 + 36*a^13*b^17*c^7 + 9*a^14*b^17*c^8 + a^15*b^17*c^9))))/(a^6*b^6) - (64*(-(b*x - 1)/(c + x))^(1/4)*(512*(-b)^(19/2) + a^5*(-b)^(9/2) + a^4*(-b)^(11/2) + 2*a^6*(-b)^(9/2) - 16*a^3*(-b)^(13/2) + 18*a^5*(-b)^(11/2) + a^7*(-b)^(9/2) - 144*a^2*(-b)^(15/2) - 176*a^4*(-b)^(13/2) + 49*a^6*(-b)^(11/2) - 576*a^3*(-b)^(15/2) - 560*a^5*(-b)^(13/2) + 48*a^7*(-b)^(11/2) + 2688*a^2*(-b)^(17/2) - 608*a^4*(-b)^(15/2) - 784*a^6*(-b)^(13/2) + 16*a^8*(-b)^(11/2) + 7680*a^3*(-b)^(17/2) + 448*a^5*(-b)^(15/2) - 512*a^7*(-b)^(13/2) + 7680*a^2*(-b)^(19/2) + 11520*a^4*(-b)^(17/2) + 1392*a^6*(-b)^(15/2) - 128*a^8*(-b)^(13/2) + 10240*a^3*(-b)^(19/2) + 9600*a^5*(-b)^(17/2) + 1024*a^7*(-b)^(15/2) + 7680*a^4*(-b)^(19/2) + 4224*a^6*(-b)^(17/2) + 256*a^8*(-b)^(15/2) + 3072*a^5*(-b)^(19/2) + 768*a^7*(-b)^(17/2) + 512*a^6*(-b)^(19/2) + 7680*(-b)^(23/2)*c^2 - 10240*(-b)^(25/2)*c^3 + 7680*(-b)^(27/2)*c^4 - 3072*(-b)^(29/2)*c^5 + 512*(-b)^(31/2)*c^6 + 384*a*(-b)^(17/2) + 3072*a*(-b)^(19/2) - 3072*(-b)^(21/2)*c + a^7*(-b)^(9/2)*c^2 - 35*a^6*(-b)^(11/2)*c^2 + 2*a^8*(-b)^(9/2)*c^2 + 265*a^5*(-b)^(13/2)*c^2 - 86*a^7*(-b)^(11/2)*c^2 + a^9*(-b)^(9/2)*c^2 - 851*a^4*(-b)^(15/2)*c^2 + 738*a^6*(-b)^(13/2)*c^2 - 10*a^7*(-b)^(11/2)*c^3 - 67*a^8*(-b)^(11/2)*c^2 + 2496*a^3*(-b)^(17/2)*c^2 - 2566*a^5*(-b)^(15/2)*c^2 + 224*a^6*(-b)^(13/2)*c^3 + 649*a^7*(-b)^(13/2)*c^2 - 20*a^8*(-b)^(11/2)*c^3 - 16*a^9*(-b)^(11/2)*c^2 - 5184*a^2*(-b)^(19/2)*c^2 + 10432*a^4*(-b)^(17/2)*c^2 - 1358*a^5*(-b)^(15/2)*c^3 - 1907*a^6*(-b)^(15/2)*c^2 + 592*a^7*(-b)^(13/2)*c^3 + 144*a^8*(-b)^(13/2)*c^2 - 10*a^9*(-b)^(11/2)*c^3 - 31104*a^3*(-b)^(19/2)*c^2 + 3784*a^4*(-b)^(17/2)*c^3 + 14912*a^5*(-b)^(17/2)*c^2 - 4364*a^6*(-b)^(15/2)*c^3 + 45*a^7*(-b)^(13/2)*c^4 + 1120*a^7*(-b)^(15/2)*c^2 + 512*a^8*(-b)^(13/2)*c^3 - 32*a^9*(-b)^(13/2)*c^2 + 1152*a^2*(-b)^(21/2)*c^2 - 7552*a^3*(-b)^(19/2)*c^3 - 74624*a^4*(-b)^(19/2)*c^2 + 14288*a^5*(-b)^(17/2)*c^3 - 771*a^6*(-b)^(15/2)*c^4 + 5824*a^6*(-b)^(17/2)*c^2 - 4974*a^7*(-b)^(15/2)*c^3 + 90*a^8*(-b)^(13/2)*c^4 + 1952*a^8*(-b)^(15/2)*c^2 + 144*a^9*(-b)^(13/2)*c^3 + 6912*a^2*(-b)^(21/2)*c^3 + 23040*a^3*(-b)^(21/2)*c^2 - 36800*a^4*(-b)^(19/2)*c^3 + 3874*a^5*(-b)^(17/2)*c^4 - 91136*a^5*(-b)^(19/2)*c^2 + 19144*a^6*(-b)^(17/2)*c^3 - 2118*a^7*(-b)^(15/2)*c^4 - 5120*a^7*(-b)^(17/2)*c^2 - 2288*a^8*(-b)^(15/2)*c^3 + 45*a^9*(-b)^(13/2)*c^4 + 640*a^9*(-b)^(15/2)*c^2 + 115200*a^2*(-b)^(23/2)*c^2 + 49536*a^3*(-b)^(21/2)*c^3 - 8750*a^4*(-b)^(19/2)*c^4 + 57600*a^4*(-b)^(21/2)*c^2 - 68032*a^5*(-b)^(19/2)*c^3 + 13444*a^6*(-b)^(17/2)*c^4 - 58944*a^6*(-b)^(19/2)*c^2 - 120*a^7*(-b)^(15/2)*c^5 + 9664*a^7*(-b)^(17/2)*c^3 - 1923*a^8*(-b)^(15/2)*c^4 - 5248*a^8*(-b)^(17/2)*c^2 - 320*a^9*(-b)^(15/2)*c^3 + 44160*a^2*(-b)^(23/2)*c^3 + 11040*a^3*(-b)^(21/2)*c^4 + 153600*a^3*(-b)^(23/2)*c^2 + 137728*a^4*(-b)^(21/2)*c^3 - 36988*a^5*(-b)^(19/2)*c^4 + 63360*a^5*(-b)^(21/2)*c^2 + 1644*a^6*(-b)^(17/2)*c^5 - 56512*a^6*(-b)^(19/2)*c^3 + 17058*a^7*(-b)^(17/2)*c^4 - 18560*a^7*(-b)^(19/2)*c^2 - 240*a^8*(-b)^(15/2)*c^5 + 128*a^8*(-b)^(17/2)*c^3 - 576*a^9*(-b)^(15/2)*c^4 - 1280*a^9*(-b)^(17/2)*c^2 - 480*a^2*(-b)^(23/2)*c^4 + 76800*a^3*(-b)^(23/2)*c^3 + 60640*a^4*(-b)^(21/2)*c^4 + 115200*a^4*(-b)^(23/2)*c^2 - 6776*a^5*(-b)^(19/2)*c^5 + 193792*a^5*(-b)^(21/2)*c^3 - 59150*a^6*(-b)^(19/2)*c^4 + 33408*a^6*(-b)^(21/2)*c^2 + 4632*a^7*(-b)^(17/2)*c^5 - 16064*a^7*(-b)^(19/2)*c^3 + 9280*a^8*(-b)^(17/2)*c^4 - 2048*a^8*(-b)^(19/2)*c^2 - 120*a^9*(-b)^(15/2)*c^5 - 896*a^9*(-b)^(17/2)*c^3 - 153600*a^2*(-b)^(25/2)*c^3 - 23040*a^3*(-b)^(23/2)*c^4 + 11620*a^4*(-b)^(21/2)*c^5 + 57600*a^4*(-b)^(23/2)*c^3 + 128864*a^5*(-b)^(21/2)*c^4 + 46080*a^5*(-b)^(23/2)*c^2 - 24752*a^6*(-b)^(19/2)*c^5 + 146688*a^6*(-b)^(21/2)*c^3 + 210*a^7*(-b)^(17/2)*c^6 - 43232*a^7*(-b)^(19/2)*c^4 + 6912*a^7*(-b)^(21/2)*c^2 + 4332*a^8*(-b)^(17/2)*c^5 + 3968*a^8*(-b)^(19/2)*c^3 + 1792*a^9*(-b)^(17/2)*c^4 - 90240*a^2*(-b)^(25/2)*c^4 - 7104*a^3*(-b)^(23/2)*c^5 - 204800*a^3*(-b)^(25/2)*c^3 - 100160*a^4*(-b)^(23/2)*c^4 + 53480*a^5*(-b)^(21/2)*c^5 + 9600*a^5*(-b)^(23/2)*c^3 - 2310*a^6*(-b)^(19/2)*c^6 + 131872*a^6*(-b)^(21/2)*c^4 + 7680*a^6*(-b)^(23/2)*c^2 - 33432*a^7*(-b)^(19/2)*c^5 + 56704*a^7*(-b)^(21/2)*c^3 + 420*a^8*(-b)^(17/2)*c^6 - 13216*a^8*(-b)^(19/2)*c^4 + 1344*a^9*(-b)^(17/2)*c^5 + 2304*a^9*(-b)^(19/2)*c^3 - 9216*a^2*(-b)^(25/2)*c^5 - 192000*a^3*(-b)^(25/2)*c^4 - 48224*a^4*(-b)^(23/2)*c^5 - 153600*a^4*(-b)^(25/2)*c^3 + 7546*a^5*(-b)^(21/2)*c^6 - 179840*a^5*(-b)^(23/2)*c^4 + 94948*a^6*(-b)^(21/2)*c^5 - 9600*a^6*(-b)^(23/2)*c^3 - 6636*a^7*(-b)^(19/2)*c^6 + 63232*a^7*(-b)^(21/2)*c^4 - 19712*a^8*(-b)^(19/2)*c^5 + 8704*a^8*(-b)^(21/2)*c^3 + 210*a^9*(-b)^(17/2)*c^6 - 896*a^9*(-b)^(19/2)*c^4 + 115200*a^2*(-b)^(27/2)*c^4 - 31104*a^3*(-b)^(25/2)*c^5 - 8750*a^4*(-b)^(23/2)*c^6 - 211200*a^4*(-b)^(25/2)*c^4 - 121120*a^5*(-b)^(23/2)*c^5 - 61440*a^5*(-b)^(25/2)*c^3 + 28756*a^6*(-b)^(21/2)*c^6 - 161760*a^6*(-b)^(23/2)*c^4 - 252*a^7*(-b)^(19/2)*c^7 + 80416*a^7*(-b)^(21/2)*c^5 - 3840*a^7*(-b)^(23/2)*c^3 - 6342*a^8*(-b)^(19/2)*c^6 + 9344*a^8*(-b)^(21/2)*c^4 - 4256*a^9*(-b)^(19/2)*c^5 + 81792*a^2*(-b)^(27/2)*c^5 - 832*a^3*(-b)^(25/2)*c^6 + 153600*a^3*(-b)^(27/2)*c^4 - 23552*a^4*(-b)^(25/2)*c^5 - 44380*a^5*(-b)^(23/2)*c^6 - 124800*a^5*(-b)^(25/2)*c^4 + 2184*a^6*(-b)^(21/2)*c^7 - 146336*a^6*(-b)^(23/2)*c^5 - 10240*a^6*(-b)^(25/2)*c^3 + 40698*a^7*(-b)^(21/2)*c^6 - 72320*a^7*(-b)^(23/2)*c^4 - 504*a^8*(-b)^(19/2)*c^7 + 31808*a^8*(-b)^(21/2)*c^5 - 2016*a^9*(-b)^(19/2)*c^6 - 1280*a^9*(-b)^(21/2)*c^4 + 10944*a^2*(-b)^(27/2)*c^6 + 184320*a^3*(-b)^(27/2)*c^5 + 8896*a^4*(-b)^(25/2)*c^6 + 115200*a^4*(-b)^(27/2)*c^4 - 5300*a^5*(-b)^(23/2)*c^7 + 32512*a^5*(-b)^(25/2)*c^5 - 86702*a^6*(-b)^(23/2)*c^6 - 36480*a^6*(-b)^(25/2)*c^4 + 6384*a^7*(-b)^(21/2)*c^7 - 87968*a^7*(-b)^(23/2)*c^5 + 25312*a^8*(-b)^(21/2)*c^6 - 12800*a^8*(-b)^(23/2)*c^4 - 252*a^9*(-b)^(19/2)*c^7 + 4480*a^9*(-b)^(21/2)*c^5 - 46080*a^2*(-b)^(29/2)*c^5 + 49536*a^3*(-b)^(27/2)*c^6 + 3016*a^4*(-b)^(25/2)*c^7 + 218880*a^4*(-b)^(27/2)*c^5 + 44864*a^5*(-b)^(25/2)*c^6 + 46080*a^5*(-b)^(27/2)*c^4 - 21128*a^6*(-b)^(23/2)*c^7 + 66048*a^6*(-b)^(25/2)*c^5 + 210*a^7*(-b)^(21/2)*c^8 - 81536*a^7*(-b)^(23/2)*c^6 - 3840*a^7*(-b)^(25/2)*c^4 + 6216*a^8*(-b)^(21/2)*c^7 - 22912*a^8*(-b)^(23/2)*c^5 + 5824*a^9*(-b)^(21/2)*c^6 - 36480*a^2*(-b)^(29/2)*c^6 + 4224*a^3*(-b)^(27/2)*c^7 - 61440*a^3*(-b)^(29/2)*c^5 + 86656*a^4*(-b)^(27/2)*c^6 + 18896*a^5*(-b)^(25/2)*c^7 + 144000*a^5*(-b)^(27/2)*c^5 - 1374*a^6*(-b)^(23/2)*c^8 + 75200*a^6*(-b)^(25/2)*c^6 + 7680*a^6*(-b)^(27/2)*c^4 - 31284*a^7*(-b)^(23/2)*c^7 + 40576*a^7*(-b)^(25/2)*c^5 + 420*a^8*(-b)^(21/2)*c^8 - 36736*a^8*(-b)^(23/2)*c^6 + 2016*a^9*(-b)^(21/2)*c^7 - 1280*a^9*(-b)^(23/2)*c^5 - 5376*a^2*(-b)^(29/2)*c^7 - 84480*a^3*(-b)^(29/2)*c^6 + 13888*a^4*(-b)^(27/2)*c^7 - 46080*a^4*(-b)^(29/2)*c^5 + 2173*a^5*(-b)^(25/2)*c^8 + 70144*a^5*(-b)^(27/2)*c^6 + 42952*a^6*(-b)^(25/2)*c^7 + 49536*a^6*(-b)^(27/2)*c^5 - 4092*a^7*(-b)^(23/2)*c^8 + 57856*a^7*(-b)^(25/2)*c^6 - 20384*a^8*(-b)^(23/2)*c^7 + 8704*a^8*(-b)^(25/2)*c^5 + 210*a^9*(-b)^(21/2)*c^8 - 6272*a^9*(-b)^(23/2)*c^6 + 7680*a^2*(-b)^(31/2)*c^6 - 26496*a^3*(-b)^(29/2)*c^7 + 301*a^4*(-b)^(27/2)*c^8 - 103680*a^4*(-b)^(29/2)*c^6 + 12608*a^5*(-b)^(27/2)*c^7 - 18432*a^5*(-b)^(29/2)*c^5 + 9274*a^6*(-b)^(25/2)*c^8 + 21696*a^6*(-b)^(27/2)*c^6 - 120*a^7*(-b)^(23/2)*c^9 + 45760*a^7*(-b)^(25/2)*c^7 + 6912*a^7*(-b)^(27/2)*c^5 - 4062*a^8*(-b)^(23/2)*c^8 + 20096*a^8*(-b)^(25/2)*c^6 - 4928*a^9*(-b)^(23/2)*c^7 + 6528*a^2*(-b)^(31/2)*c^7 - 2448*a^3*(-b)^(29/2)*c^8 + 10240*a^3*(-b)^(31/2)*c^6 - 52736*a^4*(-b)^(29/2)*c^7 - 1558*a^5*(-b)^(27/2)*c^8 - 71040*a^5*(-b)^(29/2)*c^6 + 546*a^6*(-b)^(25/2)*c^9 - 4544*a^6*(-b)^(27/2)*c^7 - 3072*a^6*(-b)^(29/2)*c^5 + 14589*a^7*(-b)^(25/2)*c^8 - 2432*a^7*(-b)^(27/2)*c^6 - 240*a^8*(-b)^(23/2)*c^9 + 23168*a^8*(-b)^(25/2)*c^7 - 1344*a^9*(-b)^(23/2)*c^8 + 2304*a^9*(-b)^(25/2)*c^6 + 1008*a^2*(-b)^(31/2)*c^8 + 15360*a^3*(-b)^(31/2)*c^7 - 10160*a^4*(-b)^(29/2)*c^8 + 7680*a^4*(-b)^(31/2)*c^6 - 384*a^5*(-b)^(27/2)*c^9 - 53504*a^5*(-b)^(29/2)*c^7 - 8099*a^6*(-b)^(27/2)*c^8 - 25728*a^6*(-b)^(29/2)*c^6 + 1668*a^7*(-b)^(25/2)*c^9 - 13760*a^7*(-b)^(27/2)*c^7 + 10048*a^8*(-b)^(25/2)*c^8 - 2048*a^8*(-b)^(27/2)*c^6 - 120*a^9*(-b)^(23/2)*c^9 + 4480*a^9*(-b)^(25/2)*c^7 + 5184*a^3*(-b)^(31/2)*c^8 - 570*a^4*(-b)^(29/2)*c^9 + 19200*a^4*(-b)^(31/2)*c^7 - 16048*a^5*(-b)^(29/2)*c^8 + 3072*a^5*(-b)^(31/2)*c^6 - 1984*a^6*(-b)^(27/2)*c^9 - 28416*a^6*(-b)^(29/2)*c^7 + 45*a^7*(-b)^(25/2)*c^10 - 11984*a^7*(-b)^(27/2)*c^8 - 3840*a^7*(-b)^(29/2)*c^6 + 1698*a^8*(-b)^(25/2)*c^9 - 7552*a^8*(-b)^(27/2)*c^7 + 2560*a^9*(-b)^(25/2)*c^8 + 480*a^3*(-b)^(31/2)*c^9 + 10912*a^4*(-b)^(31/2)*c^8 - 1732*a^5*(-b)^(29/2)*c^9 + 13440*a^5*(-b)^(31/2)*c^7 - 119*a^6*(-b)^(27/2)*c^10 - 11408*a^6*(-b)^(29/2)*c^8 + 512*a^6*(-b)^(31/2)*c^6 - 3568*a^7*(-b)^(27/2)*c^9 - 7040*a^7*(-b)^(29/2)*c^7 + 90*a^8*(-b)^(25/2)*c^10 - 7408*a^8*(-b)^(27/2)*c^8 + 576*a^9*(-b)^(25/2)*c^9 - 1280*a^9*(-b)^(27/2)*c^7 + 2160*a^4*(-b)^(31/2)*c^9 - 35*a^5*(-b)^(29/2)*c^10 + 11968*a^5*(-b)^(31/2)*c^8 - 1530*a^6*(-b)^(29/2)*c^9 + 4992*a^6*(-b)^(31/2)*c^7 - 382*a^7*(-b)^(27/2)*c^10 - 2816*a^7*(-b)^(29/2)*c^8 - 2720*a^8*(-b)^(27/2)*c^9 - 512*a^8*(-b)^(29/2)*c^7 + 45*a^9*(-b)^(25/2)*c^10 - 1664*a^9*(-b)^(27/2)*c^8 + 129*a^4*(-b)^(31/2)*c^10 + 3856*a^5*(-b)^(31/2)*c^9 + 10*a^6*(-b)^(29/2)*c^10 + 7152*a^6*(-b)^(31/2)*c^8 - 10*a^7*(-b)^(27/2)*c^11 + 112*a^7*(-b)^(29/2)*c^9 + 768*a^7*(-b)^(31/2)*c^7 - 407*a^8*(-b)^(27/2)*c^10 + 512*a^8*(-b)^(29/2)*c^8 - 752*a^9*(-b)^(27/2)*c^9 + 482*a^5*(-b)^(31/2)*c^10 + 8*a^6*(-b)^(29/2)*c^11 + 3408*a^6*(-b)^(31/2)*c^9 + 221*a^7*(-b)^(29/2)*c^10 + 2176*a^7*(-b)^(31/2)*c^8 - 20*a^8*(-b)^(27/2)*c^11 + 736*a^8*(-b)^(29/2)*c^9 - 144*a^9*(-b)^(27/2)*c^10 + 256*a^9*(-b)^(29/2)*c^8 + 18*a^5*(-b)^(31/2)*c^11 + 673*a^6*(-b)^(31/2)*c^10 + 32*a^7*(-b)^(29/2)*c^11 + 1488*a^7*(-b)^(31/2)*c^9 + 272*a^8*(-b)^(29/2)*c^10 + 256*a^8*(-b)^(31/2)*c^8 - 10*a^9*(-b)^(27/2)*c^11 + 256*a^9*(-b)^(29/2)*c^9 + 52*a^6*(-b)^(31/2)*c^11 + a^7*(-b)^(29/2)*c^12 + 416*a^7*(-b)^(31/2)*c^10 + 40*a^8*(-b)^(29/2)*c^11 + 256*a^8*(-b)^(31/2)*c^9 + 96*a^9*(-b)^(29/2)*c^10 + a^6*(-b)^(31/2)*c^12 + 50*a^7*(-b)^(31/2)*c^11 + 2*a^8*(-b)^(29/2)*c^12 + 96*a^8*(-b)^(31/2)*c^10 + 16*a^9*(-b)^(29/2)*c^11 + 2*a^7*(-b)^(31/2)*c^12 + 16*a^8*(-b)^(31/2)*c^11 + a^9*(-b)^(29/2)*c^12 + a^8*(-b)^(31/2)*c^12 - 1152*a*(-b)^(19/2)*c - 18432*a*(-b)^(21/2)*c + 2*a^6*(-b)^(9/2)*c - 24*a^5*(-b)^(11/2)*c + 4*a^7*(-b)^(9/2)*c + 70*a^4*(-b)^(13/2)*c - 48*a^6*(-b)^(11/2)*c + 2*a^8*(-b)^(9/2)*c - 288*a^3*(-b)^(15/2)*c + 60*a^5*(-b)^(13/2)*c - 8*a^7*(-b)^(11/2)*c + 1536*a^2*(-b)^(17/2)*c - 656*a^4*(-b)^(15/2)*c - 378*a^6*(-b)^(13/2)*c + 32*a^8*(-b)^(11/2)*c + 8064*a^3*(-b)^(17/2)*c + 656*a^5*(-b)^(15/2)*c - 784*a^7*(-b)^(13/2)*c + 16*a^9*(-b)^(11/2)*c - 9600*a^2*(-b)^(19/2)*c + 16384*a^4*(-b)^(17/2)*c + 3280*a^6*(-b)^(15/2)*c - 544*a^8*(-b)^(13/2)*c - 30720*a^3*(-b)^(19/2)*c + 15616*a^5*(-b)^(17/2)*c + 3664*a^7*(-b)^(15/2)*c - 128*a^9*(-b)^(13/2)*c - 1152*a*(-b)^(21/2)*c^2 - 46080*a^2*(-b)^(21/2)*c - 49920*a^4*(-b)^(19/2)*c + 6144*a^6*(-b)^(17/2)*c + 1664*a^8*(-b)^(15/2)*c - 61440*a^3*(-b)^(21/2)*c - 44160*a^5*(-b)^(19/2)*c - 128*a^7*(-b)^(17/2)*c + 256*a^9*(-b)^(15/2)*c + 46080*a*(-b)^(23/2)*c^2 - 46080*a^4*(-b)^(21/2)*c - 20352*a^6*(-b)^(19/2)*c - 512*a^8*(-b)^(17/2)*c + 9600*a*(-b)^(23/2)*c^3 - 18432*a^5*(-b)^(21/2)*c - 3840*a^7*(-b)^(19/2)*c - 3072*a^6*(-b)^(21/2)*c - 61440*a*(-b)^(25/2)*c^3 - 17280*a*(-b)^(25/2)*c^4 + 46080*a*(-b)^(27/2)*c^4 + 14976*a*(-b)^(27/2)*c^5 - 18432*a*(-b)^(29/2)*c^5 - 6528*a*(-b)^(29/2)*c^6 + 3072*a*(-b)^(31/2)*c^6 + 1152*a*(-b)^(31/2)*c^7))/((-b)^(1/4)*(a^6*b^17 + 9*a^7*b^17*c + 36*a^8*b^17*c^2 + 84*a^9*b^17*c^3 + 126*a^10*b^17*c^4 + 126*a^11*b^17*c^5 + 84*a^12*b^17*c^6 + 36*a^13*b^17*c^7 + 9*a^14*b^17*c^8 + a^15*b^17*c^9)))*1i)/(a^2*b^2))/((128*(5*a^4*(-b)^(21/4) - 320*(-b)^(37/4) + 19*a^5*(-b)^(21/4) + 27*a^6*(-b)^(21/4) - 55*a^3*(-b)^(25/4) + 17*a^7*(-b)^(21/4) - 269*a^4*(-b)^(25/4) + 4*a^8*(-b)^(21/4) - 525*a^5*(-b)^(25/4) + 180*a^2*(-b)^(29/4) - 511*a^6*(-b)^(25/4) + 1104*a^3*(-b)^(29/4) - 248*a^7*(-b)^(25/4) + 2808*a^4*(-b)^(29/4) - 48*a^8*(-b)^(25/4) + 3792*a^5*(-b)^(29/4) - 784*a^2*(-b)^(33/4) + 2868*a^6*(-b)^(29/4) - 2976*a^3*(-b)^(33/4) + 1152*a^7*(-b)^(29/4) - 5920*a^4*(-b)^(33/4) + 192*a^8*(-b)^(29/4) - 6800*a^5*(-b)^(33/4) - 6336*a^2*(-b)^(37/4) - 4560*a^6*(-b)^(33/4) - 10240*a^3*(-b)^(37/4) - 1664*a^7*(-b)^(33/4) - 9920*a^4*(-b)^(37/4) - 256*a^8*(-b)^(33/4) - 5760*a^5*(-b)^(37/4) - 1856*a^6*(-b)^(37/4) - 256*a^7*(-b)^(37/4) - 6720*(-b)^(45/4)*c^2 + 11200*(-b)^(49/4)*c^3 - 11200*(-b)^(53/4)*c^4 + 6720*(-b)^(57/4)*c^5 - 2240*(-b)^(61/4)*c^6 + 320*(-b)^(65/4)*c^7 - 80*a*(-b)^(33/4) - 2176*a*(-b)^(37/4) + 2240*(-b)^(41/4)*c + a^6*(-b)^(21/4)*c^2 + 3*a^7*(-b)^(21/4)*c^2 + 3*a^8*(-b)^(21/4)*c^2 - 71*a^5*(-b)^(25/4)*c^2 + a^9*(-b)^(21/4)*c^2 - 265*a^6*(-b)^(25/4)*c^2 - 10*a^6*(-b)^(25/4)*c^3 - 369*a^7*(-b)^(25/4)*c^2 + 849*a^4*(-b)^(29/4)*c^2 - 30*a^7*(-b)^(25/4)*c^3 - 227*a^8*(-b)^(25/4)*c^2 + 3851*a^5*(-b)^(29/4)*c^2 - 30*a^8*(-b)^(25/4)*c^3 - 52*a^9*(-b)^(25/4)*c^2 + 368*a^5*(-b)^(29/4)*c^3 + 6939*a^6*(-b)^(29/4)*c^2 - 10*a^9*(-b)^(25/4)*c^3 - 3607*a^3*(-b)^(33/4)*c^2 + 1392*a^6*(-b)^(29/4)*c^3 + 6201*a^7*(-b)^(29/4)*c^2 - 19689*a^4*(-b)^(33/4)*c^2 + 45*a^6*(-b)^(29/4)*c^4 + 1968*a^7*(-b)^(29/4)*c^3 + 2744*a^8*(-b)^(29/4)*c^2 - 3198*a^4*(-b)^(33/4)*c^3 - 44241*a^5*(-b)^(33/4)*c^2 + 135*a^7*(-b)^(29/4)*c^4 + 1232*a^8*(-b)^(29/4)*c^3 + 480*a^9*(-b)^(29/4)*c^2 + 4880*a^2*(-b)^(37/4)*c^2 - 14874*a^5*(-b)^(33/4)*c^3 - 52259*a^6*(-b)^(33/4)*c^2 + 135*a^8*(-b)^(29/4)*c^4 + 288*a^9*(-b)^(29/4)*c^3 + 33088*a^3*(-b)^(37/4)*c^2 - 1107*a^5*(-b)^(33/4)*c^4 - 27546*a^6*(-b)^(33/4)*c^3 - 34116*a^7*(-b)^(33/4)*c^2 + 45*a^9*(-b)^(29/4)*c^4 + 9976*a^3*(-b)^(37/4)*c^3 + 93600*a^4*(-b)^(37/4)*c^2 - 4233*a^6*(-b)^(33/4)*c^4 - 25374*a^7*(-b)^(33/4)*c^3 - 11616*a^8*(-b)^(33/4)*c^2 + 56280*a^4*(-b)^(37/4)*c^3 + 142912*a^5*(-b)^(37/4)*c^2 - 120*a^6*(-b)^(33/4)*c^5 - 6057*a^7*(-b)^(33/4)*c^4 - 11616*a^8*(-b)^(33/4)*c^3 - 1600*a^9*(-b)^(33/4)*c^2 + 11200*a^2*(-b)^(41/4)*c^2 + 7290*a^4*(-b)^(37/4)*c^4 + 131064*a^5*(-b)^(37/4)*c^3 + 126608*a^6*(-b)^(37/4)*c^2 - 360*a^7*(-b)^(33/4)*c^5 - 3843*a^8*(-b)^(33/4)*c^4 - 2112*a^9*(-b)^(33/4)*c^3 - 7952*a^2*(-b)^(41/4)*c^3 + 12096*a^3*(-b)^(41/4)*c^2 + 34566*a^5*(-b)^(37/4)*c^4 + 161096*a^6*(-b)^(37/4)*c^3 + 64512*a^7*(-b)^(37/4)*c^2 - 360*a^8*(-b)^(33/4)*c^5 - 912*a^9*(-b)^(33/4)*c^4 - 59136*a^3*(-b)^(41/4)*c^3 - 13440*a^4*(-b)^(41/4)*c^2 + 2148*a^5*(-b)^(37/4)*c^5 + 65334*a^6*(-b)^(37/4)*c^4 + 110064*a^7*(-b)^(37/4)*c^3 + 17216*a^8*(-b)^(37/4)*c^2 - 120*a^9*(-b)^(33/4)*c^5 - 16590*a^3*(-b)^(41/4)*c^4 - 180768*a^4*(-b)^(41/4)*c^3 - 44800*a^5*(-b)^(41/4)*c^2 + 8292*a^6*(-b)^(37/4)*c^5 + 61506*a^7*(-b)^(37/4)*c^4 + 39552*a^8*(-b)^(37/4)*c^3 + 1792*a^9*(-b)^(37/4)*c^2 - 133056*a^2*(-b)^(45/4)*c^2 - 96810*a^4*(-b)^(41/4)*c^4 - 296128*a^5*(-b)^(41/4)*c^3 + 210*a^6*(-b)^(37/4)*c^6 - 44352*a^6*(-b)^(41/4)*c^2 + 11988*a^7*(-b)^(37/4)*c^5 + 28824*a^8*(-b)^(37/4)*c^4 + 5824*a^9*(-b)^(37/4)*c^3 - 55552*a^2*(-b)^(45/4)*c^3 - 215040*a^3*(-b)^(45/4)*c^2 - 10752*a^4*(-b)^(41/4)*c^5 - 233226*a^5*(-b)^(41/4)*c^4 - 281232*a^6*(-b)^(41/4)*c^3 + 630*a^7*(-b)^(37/4)*c^6 - 20160*a^7*(-b)^(41/4)*c^2 + 7692*a^8*(-b)^(37/4)*c^5 + 5376*a^9*(-b)^(37/4)*c^4 + 5208*a^2*(-b)^(45/4)*c^4 - 119616*a^3*(-b)^(45/4)*c^3 - 208320*a^4*(-b)^(45/4)*c^2 - 51912*a^5*(-b)^(41/4)*c^5 - 296814*a^6*(-b)^(41/4)*c^4 - 154560*a^7*(-b)^(41/4)*c^3 + 630*a^8*(-b)^(37/4)*c^6 - 3584*a^8*(-b)^(41/4)*c^2 + 1848*a^9*(-b)^(37/4)*c^5 + 51296*a^3*(-b)^(45/4)*c^4 - 125440*a^4*(-b)^(45/4)*c^3 - 2814*a^5*(-b)^(41/4)*c^6 - 120960*a^5*(-b)^(45/4)*c^2 - 99960*a^6*(-b)^(41/4)*c^5 - 210336*a^7*(-b)^(41/4)*c^4 - 45248*a^8*(-b)^(41/4)*c^3 + 210*a^9*(-b)^(37/4)*c^6 + 16940*a^3*(-b)^(45/4)*c^5 + 185808*a^4*(-b)^(45/4)*c^4 - 56000*a^5*(-b)^(45/4)*c^3 - 10962*a^6*(-b)^(41/4)*c^6 - 38976*a^6*(-b)^(45/4)*c^2 - 95928*a^7*(-b)^(41/4)*c^5 - 78624*a^8*(-b)^(41/4)*c^4 - 5376*a^9*(-b)^(41/4)*c^3 + 221760*a^2*(-b)^(49/4)*c^3 + 103404*a^4*(-b)^(45/4)*c^5 + 343392*a^5*(-b)^(45/4)*c^4 - 252*a^6*(-b)^(41/4)*c^7 + 5376*a^6*(-b)^(45/4)*c^3 - 16002*a^7*(-b)^(41/4)*c^6 - 5376*a^7*(-b)^(45/4)*c^2 - 45864*a^8*(-b)^(41/4)*c^5 - 12096*a^9*(-b)^(41/4)*c^4 + 110880*a^2*(-b)^(49/4)*c^4 + 358400*a^3*(-b)^(49/4)*c^3 + 10458*a^4*(-b)^(45/4)*c^6 + 259644*a^5*(-b)^(45/4)*c^5 + 359128*a^6*(-b)^(45/4)*c^4 - 756*a^7*(-b)^(41/4)*c^7 + 13888*a^7*(-b)^(45/4)*c^3 - 10374*a^8*(-b)^(41/4)*c^6 - 8736*a^9*(-b)^(41/4)*c^5 + 3080*a^2*(-b)^(49/4)*c^5 + 268800*a^3*(-b)^(49/4)*c^4 + 347200*a^4*(-b)^(49/4)*c^3 + 51534*a^5*(-b)^(45/4)*c^6 + 343588*a^6*(-b)^(45/4)*c^5 + 215040*a^7*(-b)^(45/4)*c^4 - 756*a^8*(-b)^(41/4)*c^7 + 3584*a^8*(-b)^(45/4)*c^3 - 2520*a^9*(-b)^(41/4)*c^6 - 3584*a^3*(-b)^(49/4)*c^5 + 347200*a^4*(-b)^(49/4)*c^4 + 2520*a^5*(-b)^(45/4)*c^7 + 201600*a^5*(-b)^(49/4)*c^3 + 101262*a^6*(-b)^(45/4)*c^6 + 252840*a^7*(-b)^(45/4)*c^5 + 68544*a^8*(-b)^(45/4)*c^4 - 252*a^9*(-b)^(41/4)*c^7 - 9926*a^3*(-b)^(49/4)*c^6 - 71568*a^4*(-b)^(49/4)*c^5 + 252000*a^5*(-b)^(49/4)*c^4 + 9912*a^6*(-b)^(45/4)*c^7 + 64960*a^6*(-b)^(49/4)*c^3 + 99162*a^7*(-b)^(45/4)*c^6 + 98112*a^8*(-b)^(45/4)*c^5 + 8960*a^9*(-b)^(45/4)*c^4 - 221760*a^2*(-b)^(53/4)*c^4 - 65898*a^4*(-b)^(49/4)*c^6 - 197792*a^5*(-b)^(49/4)*c^5 + 210*a^6*(-b)^(45/4)*c^8 + 97440*a^6*(-b)^(49/4)*c^4 + 14616*a^7*(-b)^(45/4)*c^7 + 8960*a^7*(-b)^(49/4)*c^3 + 48384*a^8*(-b)^(45/4)*c^6 + 15680*a^9*(-b)^(45/4)*c^5 - 121856*a^2*(-b)^(53/4)*c^5 - 358400*a^3*(-b)^(53/4)*c^4 - 6564*a^4*(-b)^(49/4)*c^7 - 177114*a^5*(-b)^(49/4)*c^6 - 254968*a^6*(-b)^(49/4)*c^5 + 630*a^7*(-b)^(45/4)*c^8 + 15680*a^7*(-b)^(49/4)*c^4 + 9576*a^8*(-b)^(45/4)*c^7 + 9408*a^9*(-b)^(45/4)*c^6 - 8624*a^2*(-b)^(53/4)*c^6 - 310464*a^3*(-b)^(53/4)*c^5 - 347200*a^4*(-b)^(53/4)*c^4 - 33276*a^5*(-b)^(49/4)*c^7 - 248206*a^6*(-b)^(49/4)*c^6 - 175392*a^7*(-b)^(49/4)*c^5 + 630*a^8*(-b)^(45/4)*c^8 + 2352*a^9*(-b)^(45/4)*c^7 - 36288*a^3*(-b)^(53/4)*c^6 - 430080*a^4*(-b)^(53/4)*c^5 - 1518*a^5*(-b)^(49/4)*c^8 - 201600*a^5*(-b)^(53/4)*c^4 - 67164*a^6*(-b)^(49/4)*c^7 - 192024*a^7*(-b)^(49/4)*c^6 - 62272*a^8*(-b)^(49/4)*c^5 + 210*a^9*(-b)^(45/4)*c^8 + 2232*a^3*(-b)^(53/4)*c^7 - 47712*a^4*(-b)^(53/4)*c^6 - 347200*a^5*(-b)^(53/4)*c^5 - 6042*a^6*(-b)^(49/4)*c^8 - 64960*a^6*(-b)^(53/4)*c^4 - 67476*a^7*(-b)^(49/4)*c^7 - 77952*a^8*(-b)^(49/4)*c^6 - 8960*a^9*(-b)^(49/4)*c^5 + 133056*a^2*(-b)^(57/4)*c^5 + 20184*a^4*(-b)^(53/4)*c^7 + 4928*a^5*(-b)^(53/4)*c^6 - 120*a^6*(-b)^(49/4)*c^9 - 161280*a^6*(-b)^(53/4)*c^5 - 9018*a^7*(-b)^(49/4)*c^8 - 8960*a^7*(-b)^(53/4)*c^4 - 33744*a^8*(-b)^(49/4)*c^7 - 12992*a^9*(-b)^(49/4)*c^6 + 77504*a^2*(-b)^(57/4)*c^6 + 215040*a^3*(-b)^(57/4)*c^5 + 2433*a^4*(-b)^(53/4)*c^8 + 65016*a^5*(-b)^(53/4)*c^7 + 72912*a^6*(-b)^(53/4)*c^6 - 360*a^7*(-b)^(49/4)*c^9 - 38976*a^7*(-b)^(53/4)*c^5 - 5982*a^8*(-b)^(49/4)*c^8 - 6720*a^9*(-b)^(49/4)*c^7 + 6960*a^2*(-b)^(57/4)*c^7 + 202944*a^3*(-b)^(57/4)*c^6 + 208320*a^4*(-b)^(57/4)*c^5 + 12999*a^5*(-b)^(53/4)*c^8 + 102984*a^6*(-b)^(53/4)*c^7 + 75264*a^7*(-b)^(53/4)*c^6 - 360*a^8*(-b)^(49/4)*c^9 - 3584*a^8*(-b)^(53/4)*c^5 - 1488*a^9*(-b)^(49/4)*c^8 + 35072*a^3*(-b)^(57/4)*c^7 + 291200*a^4*(-b)^(57/4)*c^6 + 582*a^5*(-b)^(53/4)*c^9 + 120960*a^5*(-b)^(57/4)*c^5 + 27471*a^6*(-b)^(53/4)*c^8 + 87216*a^7*(-b)^(53/4)*c^7 + 32704*a^8*(-b)^(53/4)*c^6 - 120*a^9*(-b)^(49/4)*c^9 + 869*a^3*(-b)^(57/4)*c^8 + 69600*a^4*(-b)^(57/4)*c^7 + 246400*a^5*(-b)^(57/4)*c^6 + 2358*a^6*(-b)^(53/4)*c^9 + 38976*a^6*(-b)^(57/4)*c^5 + 28749*a^7*(-b)^(53/4)*c^8 + 38016*a^8*(-b)^(53/4)*c^7 + 5376*a^9*(-b)^(53/4)*c^6 - 44352*a^2*(-b)^(61/4)*c^6 + 1335*a^4*(-b)^(57/4)*c^8 + 65088*a^5*(-b)^(57/4)*c^7 + 45*a^6*(-b)^(53/4)*c^10 + 122304*a^6*(-b)^(57/4)*c^6 + 3582*a^7*(-b)^(53/4)*c^9 + 5376*a^7*(-b)^(57/4)*c^5 + 14916*a^8*(-b)^(53/4)*c^8 + 6720*a^9*(-b)^(53/4)*c^7 - 26880*a^2*(-b)^(61/4)*c^7 - 71680*a^3*(-b)^(61/4)*c^6 - 380*a^4*(-b)^(57/4)*c^9 - 5289*a^5*(-b)^(57/4)*c^8 + 22192*a^6*(-b)^(57/4)*c^7 + 135*a^7*(-b)^(53/4)*c^10 + 32704*a^7*(-b)^(57/4)*c^6 + 2418*a^8*(-b)^(53/4)*c^9 + 3072*a^9*(-b)^(53/4)*c^8 - 2668*a^2*(-b)^(61/4)*c^8 - 71616*a^3*(-b)^(61/4)*c^7 - 69440*a^4*(-b)^(61/4)*c^6 - 2416*a^5*(-b)^(57/4)*c^9 - 17171*a^6*(-b)^(57/4)*c^8 - 7872*a^7*(-b)^(57/4)*c^7 + 135*a^8*(-b)^(53/4)*c^10 + 3584*a^8*(-b)^(57/4)*c^6 + 612*a^9*(-b)^(53/4)*c^9 - 14384*a^3*(-b)^(61/4)*c^8 - 104960*a^4*(-b)^(61/4)*c^7 - 123*a^5*(-b)^(57/4)*c^10 - 40320*a^5*(-b)^(61/4)*c^6 - 5784*a^6*(-b)^(57/4)*c^9 - 19464*a^7*(-b)^(57/4)*c^8 - 8256*a^8*(-b)^(57/4)*c^7 + 45*a^9*(-b)^(53/4)*c^10 - 670*a^3*(-b)^(61/4)*c^9 - 31752*a^4*(-b)^(61/4)*c^8 - 91200*a^5*(-b)^(61/4)*c^7 - 517*a^6*(-b)^(57/4)*c^10 - 12992*a^6*(-b)^(61/4)*c^6 - 6656*a^7*(-b)^(57/4)*c^9 - 10032*a^8*(-b)^(57/4)*c^8 - 1792*a^9*(-b)^(57/4)*c^7 + 6336*a^2*(-b)^(65/4)*c^7 - 2830*a^4*(-b)^(61/4)*c^9 - 36272*a^5*(-b)^(61/4)*c^8 - 10*a^6*(-b)^(57/4)*c^11 - 46848*a^6*(-b)^(61/4)*c^7 - 813*a^7*(-b)^(57/4)*c^10 - 1792*a^7*(-b)^(61/4)*c^6 - 3724*a^8*(-b)^(57/4)*c^9 - 1984*a^9*(-b)^(57/4)*c^8 + 3952*a^2*(-b)^(65/4)*c^8 + 10240*a^3*(-b)^(65/4)*c^7 - 43*a^4*(-b)^(61/4)*c^10 - 4374*a^5*(-b)^(61/4)*c^9 - 21868*a^6*(-b)^(61/4)*c^8 - 30*a^7*(-b)^(57/4)*c^11 - 13120*a^7*(-b)^(61/4)*c^7 - 567*a^8*(-b)^(57/4)*c^10 - 816*a^9*(-b)^(57/4)*c^9 + 412*a^2*(-b)^(65/4)*c^9 + 10656*a^3*(-b)^(65/4)*c^8 + 9920*a^4*(-b)^(65/4)*c^7 - 57*a^5*(-b)^(61/4)*c^10 - 2586*a^6*(-b)^(61/4)*c^9 - 5760*a^7*(-b)^(61/4)*c^8 - 30*a^8*(-b)^(57/4)*c^11 - 1536*a^8*(-b)^(61/4)*c^7 - 148*a^9*(-b)^(57/4)*c^10 + 2304*a^3*(-b)^(65/4)*c^9 + 15840*a^4*(-b)^(65/4)*c^8 + 8*a^5*(-b)^(61/4)*c^11 + 5760*a^5*(-b)^(65/4)*c^7 + 183*a^6*(-b)^(61/4)*c^10 + 236*a^7*(-b)^(61/4)*c^9 + 128*a^8*(-b)^(61/4)*c^8 - 10*a^9*(-b)^(57/4)*c^11 + 125*a^3*(-b)^(65/4)*c^10 + 5352*a^4*(-b)^(65/4)*c^9 + 14000*a^5*(-b)^(65/4)*c^8 + 40*a^6*(-b)^(61/4)*c^11 + 1856*a^6*(-b)^(65/4)*c^7 + 461*a^7*(-b)^(61/4)*c^10 + 864*a^8*(-b)^(61/4)*c^9 + 256*a^9*(-b)^(61/4)*c^8 + 595*a^4*(-b)^(65/4)*c^10 + 6608*a^5*(-b)^(65/4)*c^9 + a^6*(-b)^(61/4)*c^12 + 7344*a^6*(-b)^(65/4)*c^8 + 72*a^7*(-b)^(61/4)*c^11 + 256*a^7*(-b)^(65/4)*c^7 + 360*a^8*(-b)^(61/4)*c^10 + 256*a^9*(-b)^(61/4)*c^9 + 18*a^4*(-b)^(65/4)*c^11 + 1131*a^5*(-b)^(65/4)*c^10 + 4572*a^6*(-b)^(65/4)*c^9 + 3*a^7*(-b)^(61/4)*c^12 + 2112*a^7*(-b)^(65/4)*c^8 + 56*a^8*(-b)^(61/4)*c^11 + 96*a^9*(-b)^(61/4)*c^10 + 70*a^5*(-b)^(65/4)*c^11 + 1073*a^6*(-b)^(65/4)*c^10 + 1680*a^7*(-b)^(65/4)*c^9 + 3*a^8*(-b)^(61/4)*c^12 + 256*a^8*(-b)^(65/4)*c^8 + 16*a^9*(-b)^(61/4)*c^11 + a^5*(-b)^(65/4)*c^12 + 102*a^6*(-b)^(65/4)*c^11 + 508*a^7*(-b)^(65/4)*c^10 + 256*a^8*(-b)^(65/4)*c^9 + a^9*(-b)^(61/4)*c^12 + 3*a^6*(-b)^(65/4)*c^12 + 66*a^7*(-b)^(65/4)*c^11 + 96*a^8*(-b)^(65/4)*c^10 + 3*a^7*(-b)^(65/4)*c^12 + 16*a^8*(-b)^(65/4)*c^11 + a^8*(-b)^(65/4)*c^12 - 64*a*(-b)^(37/4)*c + 15232*a*(-b)^(41/4)*c + 6*a^5*(-b)^(21/4)*c + 22*a^6*(-b)^(21/4)*c + 30*a^7*(-b)^(21/4)*c - 116*a^4*(-b)^(25/4)*c + 18*a^8*(-b)^(21/4)*c - 504*a^5*(-b)^(25/4)*c + 4*a^9*(-b)^(21/4)*c - 864*a^6*(-b)^(25/4)*c + 706*a^3*(-b)^(29/4)*c - 728*a^7*(-b)^(25/4)*c + 3698*a^4*(-b)^(29/4)*c - 300*a^8*(-b)^(25/4)*c + 7914*a^5*(-b)^(29/4)*c - 48*a^9*(-b)^(25/4)*c - 1476*a^2*(-b)^(33/4)*c + 8806*a^6*(-b)^(29/4)*c - 9472*a^3*(-b)^(33/4)*c + 5324*a^7*(-b)^(29/4)*c - 25368*a^4*(-b)^(33/4)*c + 1632*a^8*(-b)^(29/4)*c - 36528*a^5*(-b)^(33/4)*c + 192*a^9*(-b)^(29/4)*c + 1536*a^2*(-b)^(37/4)*c - 30212*a^6*(-b)^(33/4)*c + 10176*a^3*(-b)^(37/4)*c - 14064*a^7*(-b)^(33/4)*c + 25600*a^4*(-b)^(37/4)*c - 3264*a^8*(-b)^(33/4)*c + 33600*a^5*(-b)^(37/4)*c - 256*a^9*(-b)^(33/4)*c + 2688*a*(-b)^(41/4)*c^2 + 44352*a^2*(-b)^(41/4)*c + 24576*a^6*(-b)^(37/4)*c + 71680*a^3*(-b)^(41/4)*c + 9536*a^7*(-b)^(37/4)*c + 69440*a^4*(-b)^(41/4)*c + 1536*a^8*(-b)^(37/4)*c + 40320*a^5*(-b)^(41/4)*c - 45696*a*(-b)^(45/4)*c^2 + 12992*a^6*(-b)^(41/4)*c - 10304*a*(-b)^(45/4)*c^3 + 1792*a^7*(-b)^(41/4)*c + 76160*a*(-b)^(49/4)*c^3 + 19040*a*(-b)^(49/4)*c^4 - 76160*a*(-b)^(53/4)*c^4 - 20160*a*(-b)^(53/4)*c^5 + 45696*a*(-b)^(57/4)*c^5 + 12544*a*(-b)^(57/4)*c^6 - 15232*a*(-b)^(61/4)*c^6 - 4288*a*(-b)^(61/4)*c^7 + 2176*a*(-b)^(65/4)*c^7 + 624*a*(-b)^(65/4)*c^8))/(a^7*b^18 + 9*a^8*b^18*c + 36*a^9*b^18*c^2 + 84*a^10*b^18*c^3 + 126*a^11*b^18*c^4 + 126*a^12*b^18*c^5 + 84*a^13*b^18*c^6 + 36*a^14*b^18*c^7 + 9*a^15*b^18*c^8 + a^16*b^18*c^9) + (((-b)^(7/4)*1i - (a*(-b)^(3/4)*(4*b + b*c + 1)*1i)/4)*((((-b)^(7/4)*1i - (a*(-b)^(3/4)*(4*b + b*c + 1)*1i)/4)^3*((64*(36*a^12*(-b)^(25/4) - 4*a^13*(-b)^(21/4) + 48*a^13*(-b)^(25/4) - 60*a^11*(-b)^(29/4) - 240*a^12*(-b)^(29/4) - 192*a^13*(-b)^(29/4) - 180*a^10*(-b)^(33/4) - 240*a^11*(-b)^(33/4) + 192*a^12*(-b)^(33/4) + 240*a^9*(-b)^(37/4) + 256*a^13*(-b)^(33/4) + 1200*a^10*(-b)^(37/4) + 1728*a^11*(-b)^(37/4) + 320*a^8*(-b)^(41/4) + 768*a^12*(-b)^(37/4) + 1152*a^9*(-b)^(41/4) + 1344*a^10*(-b)^(41/4) + 512*a^11*(-b)^(41/4) - 144*a^13*(-b)^(29/4)*c^2 + 912*a^12*(-b)^(33/4)*c^2 + 1344*a^13*(-b)^(33/4)*c^2 + 336*a^13*(-b)^(33/4)*c^3 - 432*a^11*(-b)^(37/4)*c^2 - 4032*a^12*(-b)^(37/4)*c^2 - 1680*a^12*(-b)^(37/4)*c^3 - 4032*a^13*(-b)^(37/4)*c^2 - 4624*a^10*(-b)^(41/4)*c^2 - 2688*a^13*(-b)^(37/4)*c^3 - 9408*a^11*(-b)^(41/4)*c^2 - 504*a^13*(-b)^(37/4)*c^4 - 336*a^11*(-b)^(41/4)*c^3 - 1344*a^12*(-b)^(41/4)*c^2 + 3584*a^9*(-b)^(45/4)*c^2 + 5376*a^12*(-b)^(41/4)*c^3 + 3584*a^13*(-b)^(41/4)*c^2 + 20160*a^10*(-b)^(45/4)*c^2 + 1848*a^12*(-b)^(41/4)*c^4 + 6720*a^13*(-b)^(41/4)*c^3 + 8848*a^10*(-b)^(45/4)*c^3 + 30912*a^11*(-b)^(45/4)*c^2 + 3360*a^13*(-b)^(41/4)*c^4 + 6720*a^8*(-b)^(49/4)*c^2 + 21504*a^11*(-b)^(45/4)*c^3 + 14336*a^12*(-b)^(45/4)*c^2 + 504*a^13*(-b)^(41/4)*c^5 + 24192*a^9*(-b)^(49/4)*c^2 + 1848*a^11*(-b)^(45/4)*c^4 + 9408*a^12*(-b)^(45/4)*c^3 - 4032*a^9*(-b)^(49/4)*c^3 + 28224*a^10*(-b)^(49/4)*c^2 - 3360*a^12*(-b)^(45/4)*c^4 - 3584*a^13*(-b)^(45/4)*c^3 - 26880*a^10*(-b)^(49/4)*c^3 + 10752*a^11*(-b)^(49/4)*c^2 - 1176*a^12*(-b)^(45/4)*c^5 - 6720*a^13*(-b)^(45/4)*c^4 - 10584*a^10*(-b)^(49/4)*c^4 - 44352*a^11*(-b)^(49/4)*c^3 - 2688*a^13*(-b)^(45/4)*c^5 - 11200*a^8*(-b)^(53/4)*c^3 - 30240*a^11*(-b)^(49/4)*c^4 - 21504*a^12*(-b)^(49/4)*c^3 - 336*a^13*(-b)^(45/4)*c^6 - 40320*a^9*(-b)^(53/4)*c^3 - 2520*a^11*(-b)^(49/4)*c^5 - 20160*a^12*(-b)^(49/4)*c^4 + 1120*a^9*(-b)^(53/4)*c^4 - 47040*a^10*(-b)^(53/4)*c^3 + 16800*a^10*(-b)^(53/4)*c^4 - 17920*a^11*(-b)^(53/4)*c^3 + 336*a^12*(-b)^(49/4)*c^6 + 4032*a^13*(-b)^(49/4)*c^5 + 8120*a^10*(-b)^(53/4)*c^5 + 33600*a^11*(-b)^(53/4)*c^4 + 1344*a^13*(-b)^(49/4)*c^6 + 11200*a^8*(-b)^(57/4)*c^4 + 26880*a^11*(-b)^(53/4)*c^5 + 17920*a^12*(-b)^(53/4)*c^4 + 144*a^13*(-b)^(49/4)*c^7 + 40320*a^9*(-b)^(57/4)*c^4 + 1680*a^11*(-b)^(53/4)*c^6 + 22848*a^12*(-b)^(53/4)*c^5 + 2240*a^9*(-b)^(57/4)*c^5 + 47040*a^10*(-b)^(57/4)*c^4 + 1344*a^12*(-b)^(53/4)*c^6 + 3584*a^13*(-b)^(53/4)*c^5 + 17920*a^11*(-b)^(57/4)*c^4 + 48*a^12*(-b)^(53/4)*c^7 - 1344*a^13*(-b)^(53/4)*c^6 - 3920*a^10*(-b)^(57/4)*c^6 - 9408*a^11*(-b)^(57/4)*c^5 - 384*a^13*(-b)^(53/4)*c^7 - 6720*a^8*(-b)^(61/4)*c^5 - 14784*a^11*(-b)^(57/4)*c^6 - 7168*a^12*(-b)^(57/4)*c^5 - 36*a^13*(-b)^(53/4)*c^8 - 24192*a^9*(-b)^(61/4)*c^5 - 528*a^11*(-b)^(57/4)*c^7 - 14784*a^12*(-b)^(57/4)*c^6 - 2688*a^9*(-b)^(61/4)*c^6 - 28224*a^10*(-b)^(61/4)*c^5 - 768*a^12*(-b)^(57/4)*c^7 - 3584*a^13*(-b)^(57/4)*c^6 - 6720*a^10*(-b)^(61/4)*c^6 - 10752*a^11*(-b)^(61/4)*c^5 - 60*a^12*(-b)^(57/4)*c^8 + 192*a^13*(-b)^(57/4)*c^7 + 1104*a^10*(-b)^(61/4)*c^7 - 4032*a^11*(-b)^(61/4)*c^6 + 48*a^13*(-b)^(57/4)*c^8 + 2240*a^8*(-b)^(65/4)*c^6 + 4608*a^11*(-b)^(61/4)*c^7 + 4*a^13*(-b)^(57/4)*c^9 + 8064*a^9*(-b)^(65/4)*c^6 + 36*a^11*(-b)^(61/4)*c^8 + 5184*a^12*(-b)^(61/4)*c^7 + 1216*a^9*(-b)^(65/4)*c^7 + 9408*a^10*(-b)^(65/4)*c^6 + 144*a^12*(-b)^(61/4)*c^8 + 1536*a^13*(-b)^(61/4)*c^7 + 3840*a^10*(-b)^(65/4)*c^7 + 3584*a^11*(-b)^(65/4)*c^6 + 12*a^12*(-b)^(61/4)*c^9 - 148*a^10*(-b)^(65/4)*c^8 + 3648*a^11*(-b)^(65/4)*c^7 - 320*a^8*(-b)^(69/4)*c^7 - 624*a^11*(-b)^(65/4)*c^8 + 1024*a^12*(-b)^(65/4)*c^7 - 1152*a^9*(-b)^(69/4)*c^7 + 12*a^11*(-b)^(65/4)*c^9 - 768*a^12*(-b)^(65/4)*c^8 - 208*a^9*(-b)^(69/4)*c^8 - 1344*a^10*(-b)^(69/4)*c^7 - 256*a^13*(-b)^(65/4)*c^8 - 720*a^10*(-b)^(69/4)*c^8 - 512*a^11*(-b)^(69/4)*c^7 + 4*a^10*(-b)^(69/4)*c^9 - 768*a^11*(-b)^(69/4)*c^8 - 256*a^12*(-b)^(69/4)*c^8 + 36*a^13*(-b)^(25/4)*c - 276*a^12*(-b)^(29/4)*c - 384*a^13*(-b)^(29/4)*c + 300*a^11*(-b)^(33/4)*c + 1536*a^12*(-b)^(33/4)*c + 1344*a^13*(-b)^(33/4)*c + 1380*a^10*(-b)^(37/4)*c + 2304*a^11*(-b)^(37/4)*c - 576*a^12*(-b)^(37/4)*c - 1472*a^9*(-b)^(41/4)*c - 1536*a^13*(-b)^(37/4)*c - 7680*a^10*(-b)^(41/4)*c - 11328*a^11*(-b)^(41/4)*c - 2240*a^8*(-b)^(45/4)*c - 5120*a^12*(-b)^(41/4)*c - 8064*a^9*(-b)^(45/4)*c - 9408*a^10*(-b)^(45/4)*c - 3584*a^11*(-b)^(45/4)*c))/(a^7*b^18 + 9*a^8*b^18*c + 36*a^9*b^18*c^2 + 84*a^10*b^18*c^3 + 126*a^11*b^18*c^4 + 126*a^12*b^18*c^5 + 84*a^13*b^18*c^6 + 36*a^14*b^18*c^7 + 9*a^15*b^18*c^8 + a^16*b^18*c^9) - (64*((-b)^(7/4)*1i - (a*(-b)^(3/4)*(4*b + b*c + 1)*1i)/4)*(-(b*x - 1)/(c + x))^(1/4)*(16*a^13*(-b)^(11/2) - 80*a^12*(-b)^(13/2) - 80*a^11*(-b)^(15/2) - 128*a^13*(-b)^(13/2) + 400*a^10*(-b)^(17/2) + 128*a^12*(-b)^(15/2) + 896*a^9*(-b)^(19/2) + 1152*a^11*(-b)^(17/2) + 256*a^13*(-b)^(15/2) + 512*a^8*(-b)^(21/2) + 1920*a^10*(-b)^(19/2) + 768*a^12*(-b)^(17/2) + 1024*a^9*(-b)^(21/2) + 1024*a^11*(-b)^(19/2) + 512*a^10*(-b)^(21/2) + 448*a^13*(-b)^(15/2)*c^2 - 1344*a^12*(-b)^(17/2)*c^2 - 2624*a^11*(-b)^(19/2)*c^2 - 2688*a^13*(-b)^(17/2)*c^2 + 1088*a^10*(-b)^(21/2)*c^2 + 128*a^12*(-b)^(19/2)*c^2 - 896*a^13*(-b)^(17/2)*c^3 + 9600*a^9*(-b)^(23/2)*c^2 + 9344*a^11*(-b)^(21/2)*c^2 + 1792*a^12*(-b)^(19/2)*c^3 + 4096*a^13*(-b)^(19/2)*c^2 + 7680*a^8*(-b)^(25/2)*c^2 + 21888*a^10*(-b)^(23/2)*c^2 + 4096*a^11*(-b)^(21/2)*c^3 + 8704*a^12*(-b)^(21/2)*c^2 + 4480*a^13*(-b)^(19/2)*c^3 + 15360*a^9*(-b)^(25/2)*c^2 + 3328*a^10*(-b)^(23/2)*c^3 + 12288*a^11*(-b)^(23/2)*c^2 + 128*a^12*(-b)^(21/2)*c^3 + 1120*a^13*(-b)^(19/2)*c^4 - 8320*a^9*(-b)^(25/2)*c^3 + 7680*a^10*(-b)^(25/2)*c^2 - 4992*a^11*(-b)^(23/2)*c^3 - 1120*a^12*(-b)^(21/2)*c^4 - 6656*a^13*(-b)^(21/2)*c^3 - 10240*a^8*(-b)^(27/2)*c^3 - 21120*a^10*(-b)^(25/2)*c^3 - 2400*a^11*(-b)^(23/2)*c^4 - 9216*a^12*(-b)^(23/2)*c^3 - 4480*a^13*(-b)^(21/2)*c^4 - 20480*a^9*(-b)^(27/2)*c^3 - 7200*a^10*(-b)^(25/2)*c^4 - 12800*a^11*(-b)^(25/2)*c^3 + 1920*a^12*(-b)^(23/2)*c^4 - 896*a^13*(-b)^(21/2)*c^5 + 640*a^9*(-b)^(27/2)*c^4 - 10240*a^10*(-b)^(27/2)*c^3 - 3200*a^11*(-b)^(25/2)*c^4 + 7680*a^13*(-b)^(23/2)*c^4 + 7680*a^8*(-b)^(29/2)*c^4 + 5760*a^10*(-b)^(27/2)*c^4 - 1280*a^11*(-b)^(25/2)*c^5 + 5120*a^12*(-b)^(25/2)*c^4 + 2688*a^13*(-b)^(23/2)*c^5 + 15360*a^9*(-b)^(29/2)*c^4 + 5120*a^10*(-b)^(27/2)*c^5 + 5120*a^11*(-b)^(27/2)*c^4 - 5248*a^12*(-b)^(25/2)*c^5 + 448*a^13*(-b)^(23/2)*c^6 + 4224*a^9*(-b)^(29/2)*c^5 + 7680*a^10*(-b)^(29/2)*c^4 + 3968*a^11*(-b)^(27/2)*c^5 + 448*a^12*(-b)^(25/2)*c^6 - 6656*a^13*(-b)^(25/2)*c^5 - 3072*a^8*(-b)^(31/2)*c^5 + 5760*a^10*(-b)^(29/2)*c^5 + 2752*a^11*(-b)^(27/2)*c^6 - 2048*a^12*(-b)^(27/2)*c^5 - 896*a^13*(-b)^(25/2)*c^6 - 6144*a^9*(-b)^(31/2)*c^5 - 704*a^10*(-b)^(29/2)*c^6 + 1536*a^11*(-b)^(29/2)*c^5 + 5504*a^12*(-b)^(27/2)*c^6 - 128*a^13*(-b)^(25/2)*c^7 - 2944*a^9*(-b)^(31/2)*c^6 - 3072*a^10*(-b)^(31/2)*c^5 + 384*a^11*(-b)^(29/2)*c^6 - 256*a^12*(-b)^(27/2)*c^7 + 4096*a^13*(-b)^(27/2)*c^6 + 512*a^8*(-b)^(33/2)*c^6 - 4992*a^10*(-b)^(31/2)*c^6 - 1536*a^11*(-b)^(29/2)*c^7 + 1536*a^12*(-b)^(29/2)*c^6 + 128*a^13*(-b)^(27/2)*c^7 + 1024*a^9*(-b)^(33/2)*c^6 - 768*a^10*(-b)^(31/2)*c^7 - 2048*a^11*(-b)^(31/2)*c^6 - 2688*a^12*(-b)^(29/2)*c^7 + 16*a^13*(-b)^(27/2)*c^8 + 640*a^9*(-b)^(33/2)*c^7 + 512*a^10*(-b)^(33/2)*c^6 - 1664*a^11*(-b)^(31/2)*c^7 + 48*a^12*(-b)^(29/2)*c^8 - 1536*a^13*(-b)^(29/2)*c^7 + 1152*a^10*(-b)^(33/2)*c^7 + 304*a^11*(-b)^(31/2)*c^8 - 1024*a^12*(-b)^(31/2)*c^7 + 272*a^10*(-b)^(33/2)*c^8 + 512*a^11*(-b)^(33/2)*c^7 + 512*a^12*(-b)^(31/2)*c^8 + 512*a^11*(-b)^(33/2)*c^8 + 256*a^13*(-b)^(31/2)*c^8 + 256*a^12*(-b)^(33/2)*c^8 - 128*a^13*(-b)^(13/2)*c + 512*a^12*(-b)^(15/2)*c + 768*a^11*(-b)^(17/2)*c + 896*a^13*(-b)^(15/2)*c - 1536*a^10*(-b)^(19/2)*c - 384*a^12*(-b)^(17/2)*c - 4736*a^9*(-b)^(21/2)*c - 5504*a^11*(-b)^(19/2)*c - 1536*a^13*(-b)^(17/2)*c - 3072*a^8*(-b)^(23/2)*c - 10368*a^10*(-b)^(21/2)*c - 4096*a^12*(-b)^(19/2)*c - 6144*a^9*(-b)^(23/2)*c - 5632*a^11*(-b)^(21/2)*c - 3072*a^10*(-b)^(23/2)*c))/(a^2*(-b)^(9/4)*(a^6*b^17 + 9*a^7*b^17*c + 36*a^8*b^17*c^2 + 84*a^9*b^17*c^3 + 126*a^10*b^17*c^4 + 126*a^11*b^17*c^5 + 84*a^12*b^17*c^6 + 36*a^13*b^17*c^7 + 9*a^14*b^17*c^8 + a^15*b^17*c^9))))/(a^6*b^6) + (64*(-(b*x - 1)/(c + x))^(1/4)*(512*(-b)^(19/2) + a^5*(-b)^(9/2) + a^4*(-b)^(11/2) + 2*a^6*(-b)^(9/2) - 16*a^3*(-b)^(13/2) + 18*a^5*(-b)^(11/2) + a^7*(-b)^(9/2) - 144*a^2*(-b)^(15/2) - 176*a^4*(-b)^(13/2) + 49*a^6*(-b)^(11/2) - 576*a^3*(-b)^(15/2) - 560*a^5*(-b)^(13/2) + 48*a^7*(-b)^(11/2) + 2688*a^2*(-b)^(17/2) - 608*a^4*(-b)^(15/2) - 784*a^6*(-b)^(13/2) + 16*a^8*(-b)^(11/2) + 7680*a^3*(-b)^(17/2) + 448*a^5*(-b)^(15/2) - 512*a^7*(-b)^(13/2) + 7680*a^2*(-b)^(19/2) + 11520*a^4*(-b)^(17/2) + 1392*a^6*(-b)^(15/2) - 128*a^8*(-b)^(13/2) + 10240*a^3*(-b)^(19/2) + 9600*a^5*(-b)^(17/2) + 1024*a^7*(-b)^(15/2) + 7680*a^4*(-b)^(19/2) + 4224*a^6*(-b)^(17/2) + 256*a^8*(-b)^(15/2) + 3072*a^5*(-b)^(19/2) + 768*a^7*(-b)^(17/2) + 512*a^6*(-b)^(19/2) + 7680*(-b)^(23/2)*c^2 - 10240*(-b)^(25/2)*c^3 + 7680*(-b)^(27/2)*c^4 - 3072*(-b)^(29/2)*c^5 + 512*(-b)^(31/2)*c^6 + 384*a*(-b)^(17/2) + 3072*a*(-b)^(19/2) - 3072*(-b)^(21/2)*c + a^7*(-b)^(9/2)*c^2 - 35*a^6*(-b)^(11/2)*c^2 + 2*a^8*(-b)^(9/2)*c^2 + 265*a^5*(-b)^(13/2)*c^2 - 86*a^7*(-b)^(11/2)*c^2 + a^9*(-b)^(9/2)*c^2 - 851*a^4*(-b)^(15/2)*c^2 + 738*a^6*(-b)^(13/2)*c^2 - 10*a^7*(-b)^(11/2)*c^3 - 67*a^8*(-b)^(11/2)*c^2 + 2496*a^3*(-b)^(17/2)*c^2 - 2566*a^5*(-b)^(15/2)*c^2 + 224*a^6*(-b)^(13/2)*c^3 + 649*a^7*(-b)^(13/2)*c^2 - 20*a^8*(-b)^(11/2)*c^3 - 16*a^9*(-b)^(11/2)*c^2 - 5184*a^2*(-b)^(19/2)*c^2 + 10432*a^4*(-b)^(17/2)*c^2 - 1358*a^5*(-b)^(15/2)*c^3 - 1907*a^6*(-b)^(15/2)*c^2 + 592*a^7*(-b)^(13/2)*c^3 + 144*a^8*(-b)^(13/2)*c^2 - 10*a^9*(-b)^(11/2)*c^3 - 31104*a^3*(-b)^(19/2)*c^2 + 3784*a^4*(-b)^(17/2)*c^3 + 14912*a^5*(-b)^(17/2)*c^2 - 4364*a^6*(-b)^(15/2)*c^3 + 45*a^7*(-b)^(13/2)*c^4 + 1120*a^7*(-b)^(15/2)*c^2 + 512*a^8*(-b)^(13/2)*c^3 - 32*a^9*(-b)^(13/2)*c^2 + 1152*a^2*(-b)^(21/2)*c^2 - 7552*a^3*(-b)^(19/2)*c^3 - 74624*a^4*(-b)^(19/2)*c^2 + 14288*a^5*(-b)^(17/2)*c^3 - 771*a^6*(-b)^(15/2)*c^4 + 5824*a^6*(-b)^(17/2)*c^2 - 4974*a^7*(-b)^(15/2)*c^3 + 90*a^8*(-b)^(13/2)*c^4 + 1952*a^8*(-b)^(15/2)*c^2 + 144*a^9*(-b)^(13/2)*c^3 + 6912*a^2*(-b)^(21/2)*c^3 + 23040*a^3*(-b)^(21/2)*c^2 - 36800*a^4*(-b)^(19/2)*c^3 + 3874*a^5*(-b)^(17/2)*c^4 - 91136*a^5*(-b)^(19/2)*c^2 + 19144*a^6*(-b)^(17/2)*c^3 - 2118*a^7*(-b)^(15/2)*c^4 - 5120*a^7*(-b)^(17/2)*c^2 - 2288*a^8*(-b)^(15/2)*c^3 + 45*a^9*(-b)^(13/2)*c^4 + 640*a^9*(-b)^(15/2)*c^2 + 115200*a^2*(-b)^(23/2)*c^2 + 49536*a^3*(-b)^(21/2)*c^3 - 8750*a^4*(-b)^(19/2)*c^4 + 57600*a^4*(-b)^(21/2)*c^2 - 68032*a^5*(-b)^(19/2)*c^3 + 13444*a^6*(-b)^(17/2)*c^4 - 58944*a^6*(-b)^(19/2)*c^2 - 120*a^7*(-b)^(15/2)*c^5 + 9664*a^7*(-b)^(17/2)*c^3 - 1923*a^8*(-b)^(15/2)*c^4 - 5248*a^8*(-b)^(17/2)*c^2 - 320*a^9*(-b)^(15/2)*c^3 + 44160*a^2*(-b)^(23/2)*c^3 + 11040*a^3*(-b)^(21/2)*c^4 + 153600*a^3*(-b)^(23/2)*c^2 + 137728*a^4*(-b)^(21/2)*c^3 - 36988*a^5*(-b)^(19/2)*c^4 + 63360*a^5*(-b)^(21/2)*c^2 + 1644*a^6*(-b)^(17/2)*c^5 - 56512*a^6*(-b)^(19/2)*c^3 + 17058*a^7*(-b)^(17/2)*c^4 - 18560*a^7*(-b)^(19/2)*c^2 - 240*a^8*(-b)^(15/2)*c^5 + 128*a^8*(-b)^(17/2)*c^3 - 576*a^9*(-b)^(15/2)*c^4 - 1280*a^9*(-b)^(17/2)*c^2 - 480*a^2*(-b)^(23/2)*c^4 + 76800*a^3*(-b)^(23/2)*c^3 + 60640*a^4*(-b)^(21/2)*c^4 + 115200*a^4*(-b)^(23/2)*c^2 - 6776*a^5*(-b)^(19/2)*c^5 + 193792*a^5*(-b)^(21/2)*c^3 - 59150*a^6*(-b)^(19/2)*c^4 + 33408*a^6*(-b)^(21/2)*c^2 + 4632*a^7*(-b)^(17/2)*c^5 - 16064*a^7*(-b)^(19/2)*c^3 + 9280*a^8*(-b)^(17/2)*c^4 - 2048*a^8*(-b)^(19/2)*c^2 - 120*a^9*(-b)^(15/2)*c^5 - 896*a^9*(-b)^(17/2)*c^3 - 153600*a^2*(-b)^(25/2)*c^3 - 23040*a^3*(-b)^(23/2)*c^4 + 11620*a^4*(-b)^(21/2)*c^5 + 57600*a^4*(-b)^(23/2)*c^3 + 128864*a^5*(-b)^(21/2)*c^4 + 46080*a^5*(-b)^(23/2)*c^2 - 24752*a^6*(-b)^(19/2)*c^5 + 146688*a^6*(-b)^(21/2)*c^3 + 210*a^7*(-b)^(17/2)*c^6 - 43232*a^7*(-b)^(19/2)*c^4 + 6912*a^7*(-b)^(21/2)*c^2 + 4332*a^8*(-b)^(17/2)*c^5 + 3968*a^8*(-b)^(19/2)*c^3 + 1792*a^9*(-b)^(17/2)*c^4 - 90240*a^2*(-b)^(25/2)*c^4 - 7104*a^3*(-b)^(23/2)*c^5 - 204800*a^3*(-b)^(25/2)*c^3 - 100160*a^4*(-b)^(23/2)*c^4 + 53480*a^5*(-b)^(21/2)*c^5 + 9600*a^5*(-b)^(23/2)*c^3 - 2310*a^6*(-b)^(19/2)*c^6 + 131872*a^6*(-b)^(21/2)*c^4 + 7680*a^6*(-b)^(23/2)*c^2 - 33432*a^7*(-b)^(19/2)*c^5 + 56704*a^7*(-b)^(21/2)*c^3 + 420*a^8*(-b)^(17/2)*c^6 - 13216*a^8*(-b)^(19/2)*c^4 + 1344*a^9*(-b)^(17/2)*c^5 + 2304*a^9*(-b)^(19/2)*c^3 - 9216*a^2*(-b)^(25/2)*c^5 - 192000*a^3*(-b)^(25/2)*c^4 - 48224*a^4*(-b)^(23/2)*c^5 - 153600*a^4*(-b)^(25/2)*c^3 + 7546*a^5*(-b)^(21/2)*c^6 - 179840*a^5*(-b)^(23/2)*c^4 + 94948*a^6*(-b)^(21/2)*c^5 - 9600*a^6*(-b)^(23/2)*c^3 - 6636*a^7*(-b)^(19/2)*c^6 + 63232*a^7*(-b)^(21/2)*c^4 - 19712*a^8*(-b)^(19/2)*c^5 + 8704*a^8*(-b)^(21/2)*c^3 + 210*a^9*(-b)^(17/2)*c^6 - 896*a^9*(-b)^(19/2)*c^4 + 115200*a^2*(-b)^(27/2)*c^4 - 31104*a^3*(-b)^(25/2)*c^5 - 8750*a^4*(-b)^(23/2)*c^6 - 211200*a^4*(-b)^(25/2)*c^4 - 121120*a^5*(-b)^(23/2)*c^5 - 61440*a^5*(-b)^(25/2)*c^3 + 28756*a^6*(-b)^(21/2)*c^6 - 161760*a^6*(-b)^(23/2)*c^4 - 252*a^7*(-b)^(19/2)*c^7 + 80416*a^7*(-b)^(21/2)*c^5 - 3840*a^7*(-b)^(23/2)*c^3 - 6342*a^8*(-b)^(19/2)*c^6 + 9344*a^8*(-b)^(21/2)*c^4 - 4256*a^9*(-b)^(19/2)*c^5 + 81792*a^2*(-b)^(27/2)*c^5 - 832*a^3*(-b)^(25/2)*c^6 + 153600*a^3*(-b)^(27/2)*c^4 - 23552*a^4*(-b)^(25/2)*c^5 - 44380*a^5*(-b)^(23/2)*c^6 - 124800*a^5*(-b)^(25/2)*c^4 + 2184*a^6*(-b)^(21/2)*c^7 - 146336*a^6*(-b)^(23/2)*c^5 - 10240*a^6*(-b)^(25/2)*c^3 + 40698*a^7*(-b)^(21/2)*c^6 - 72320*a^7*(-b)^(23/2)*c^4 - 504*a^8*(-b)^(19/2)*c^7 + 31808*a^8*(-b)^(21/2)*c^5 - 2016*a^9*(-b)^(19/2)*c^6 - 1280*a^9*(-b)^(21/2)*c^4 + 10944*a^2*(-b)^(27/2)*c^6 + 184320*a^3*(-b)^(27/2)*c^5 + 8896*a^4*(-b)^(25/2)*c^6 + 115200*a^4*(-b)^(27/2)*c^4 - 5300*a^5*(-b)^(23/2)*c^7 + 32512*a^5*(-b)^(25/2)*c^5 - 86702*a^6*(-b)^(23/2)*c^6 - 36480*a^6*(-b)^(25/2)*c^4 + 6384*a^7*(-b)^(21/2)*c^7 - 87968*a^7*(-b)^(23/2)*c^5 + 25312*a^8*(-b)^(21/2)*c^6 - 12800*a^8*(-b)^(23/2)*c^4 - 252*a^9*(-b)^(19/2)*c^7 + 4480*a^9*(-b)^(21/2)*c^5 - 46080*a^2*(-b)^(29/2)*c^5 + 49536*a^3*(-b)^(27/2)*c^6 + 3016*a^4*(-b)^(25/2)*c^7 + 218880*a^4*(-b)^(27/2)*c^5 + 44864*a^5*(-b)^(25/2)*c^6 + 46080*a^5*(-b)^(27/2)*c^4 - 21128*a^6*(-b)^(23/2)*c^7 + 66048*a^6*(-b)^(25/2)*c^5 + 210*a^7*(-b)^(21/2)*c^8 - 81536*a^7*(-b)^(23/2)*c^6 - 3840*a^7*(-b)^(25/2)*c^4 + 6216*a^8*(-b)^(21/2)*c^7 - 22912*a^8*(-b)^(23/2)*c^5 + 5824*a^9*(-b)^(21/2)*c^6 - 36480*a^2*(-b)^(29/2)*c^6 + 4224*a^3*(-b)^(27/2)*c^7 - 61440*a^3*(-b)^(29/2)*c^5 + 86656*a^4*(-b)^(27/2)*c^6 + 18896*a^5*(-b)^(25/2)*c^7 + 144000*a^5*(-b)^(27/2)*c^5 - 1374*a^6*(-b)^(23/2)*c^8 + 75200*a^6*(-b)^(25/2)*c^6 + 7680*a^6*(-b)^(27/2)*c^4 - 31284*a^7*(-b)^(23/2)*c^7 + 40576*a^7*(-b)^(25/2)*c^5 + 420*a^8*(-b)^(21/2)*c^8 - 36736*a^8*(-b)^(23/2)*c^6 + 2016*a^9*(-b)^(21/2)*c^7 - 1280*a^9*(-b)^(23/2)*c^5 - 5376*a^2*(-b)^(29/2)*c^7 - 84480*a^3*(-b)^(29/2)*c^6 + 13888*a^4*(-b)^(27/2)*c^7 - 46080*a^4*(-b)^(29/2)*c^5 + 2173*a^5*(-b)^(25/2)*c^8 + 70144*a^5*(-b)^(27/2)*c^6 + 42952*a^6*(-b)^(25/2)*c^7 + 49536*a^6*(-b)^(27/2)*c^5 - 4092*a^7*(-b)^(23/2)*c^8 + 57856*a^7*(-b)^(25/2)*c^6 - 20384*a^8*(-b)^(23/2)*c^7 + 8704*a^8*(-b)^(25/2)*c^5 + 210*a^9*(-b)^(21/2)*c^8 - 6272*a^9*(-b)^(23/2)*c^6 + 7680*a^2*(-b)^(31/2)*c^6 - 26496*a^3*(-b)^(29/2)*c^7 + 301*a^4*(-b)^(27/2)*c^8 - 103680*a^4*(-b)^(29/2)*c^6 + 12608*a^5*(-b)^(27/2)*c^7 - 18432*a^5*(-b)^(29/2)*c^5 + 9274*a^6*(-b)^(25/2)*c^8 + 21696*a^6*(-b)^(27/2)*c^6 - 120*a^7*(-b)^(23/2)*c^9 + 45760*a^7*(-b)^(25/2)*c^7 + 6912*a^7*(-b)^(27/2)*c^5 - 4062*a^8*(-b)^(23/2)*c^8 + 20096*a^8*(-b)^(25/2)*c^6 - 4928*a^9*(-b)^(23/2)*c^7 + 6528*a^2*(-b)^(31/2)*c^7 - 2448*a^3*(-b)^(29/2)*c^8 + 10240*a^3*(-b)^(31/2)*c^6 - 52736*a^4*(-b)^(29/2)*c^7 - 1558*a^5*(-b)^(27/2)*c^8 - 71040*a^5*(-b)^(29/2)*c^6 + 546*a^6*(-b)^(25/2)*c^9 - 4544*a^6*(-b)^(27/2)*c^7 - 3072*a^6*(-b)^(29/2)*c^5 + 14589*a^7*(-b)^(25/2)*c^8 - 2432*a^7*(-b)^(27/2)*c^6 - 240*a^8*(-b)^(23/2)*c^9 + 23168*a^8*(-b)^(25/2)*c^7 - 1344*a^9*(-b)^(23/2)*c^8 + 2304*a^9*(-b)^(25/2)*c^6 + 1008*a^2*(-b)^(31/2)*c^8 + 15360*a^3*(-b)^(31/2)*c^7 - 10160*a^4*(-b)^(29/2)*c^8 + 7680*a^4*(-b)^(31/2)*c^6 - 384*a^5*(-b)^(27/2)*c^9 - 53504*a^5*(-b)^(29/2)*c^7 - 8099*a^6*(-b)^(27/2)*c^8 - 25728*a^6*(-b)^(29/2)*c^6 + 1668*a^7*(-b)^(25/2)*c^9 - 13760*a^7*(-b)^(27/2)*c^7 + 10048*a^8*(-b)^(25/2)*c^8 - 2048*a^8*(-b)^(27/2)*c^6 - 120*a^9*(-b)^(23/2)*c^9 + 4480*a^9*(-b)^(25/2)*c^7 + 5184*a^3*(-b)^(31/2)*c^8 - 570*a^4*(-b)^(29/2)*c^9 + 19200*a^4*(-b)^(31/2)*c^7 - 16048*a^5*(-b)^(29/2)*c^8 + 3072*a^5*(-b)^(31/2)*c^6 - 1984*a^6*(-b)^(27/2)*c^9 - 28416*a^6*(-b)^(29/2)*c^7 + 45*a^7*(-b)^(25/2)*c^10 - 11984*a^7*(-b)^(27/2)*c^8 - 3840*a^7*(-b)^(29/2)*c^6 + 1698*a^8*(-b)^(25/2)*c^9 - 7552*a^8*(-b)^(27/2)*c^7 + 2560*a^9*(-b)^(25/2)*c^8 + 480*a^3*(-b)^(31/2)*c^9 + 10912*a^4*(-b)^(31/2)*c^8 - 1732*a^5*(-b)^(29/2)*c^9 + 13440*a^5*(-b)^(31/2)*c^7 - 119*a^6*(-b)^(27/2)*c^10 - 11408*a^6*(-b)^(29/2)*c^8 + 512*a^6*(-b)^(31/2)*c^6 - 3568*a^7*(-b)^(27/2)*c^9 - 7040*a^7*(-b)^(29/2)*c^7 + 90*a^8*(-b)^(25/2)*c^10 - 7408*a^8*(-b)^(27/2)*c^8 + 576*a^9*(-b)^(25/2)*c^9 - 1280*a^9*(-b)^(27/2)*c^7 + 2160*a^4*(-b)^(31/2)*c^9 - 35*a^5*(-b)^(29/2)*c^10 + 11968*a^5*(-b)^(31/2)*c^8 - 1530*a^6*(-b)^(29/2)*c^9 + 4992*a^6*(-b)^(31/2)*c^7 - 382*a^7*(-b)^(27/2)*c^10 - 2816*a^7*(-b)^(29/2)*c^8 - 2720*a^8*(-b)^(27/2)*c^9 - 512*a^8*(-b)^(29/2)*c^7 + 45*a^9*(-b)^(25/2)*c^10 - 1664*a^9*(-b)^(27/2)*c^8 + 129*a^4*(-b)^(31/2)*c^10 + 3856*a^5*(-b)^(31/2)*c^9 + 10*a^6*(-b)^(29/2)*c^10 + 7152*a^6*(-b)^(31/2)*c^8 - 10*a^7*(-b)^(27/2)*c^11 + 112*a^7*(-b)^(29/2)*c^9 + 768*a^7*(-b)^(31/2)*c^7 - 407*a^8*(-b)^(27/2)*c^10 + 512*a^8*(-b)^(29/2)*c^8 - 752*a^9*(-b)^(27/2)*c^9 + 482*a^5*(-b)^(31/2)*c^10 + 8*a^6*(-b)^(29/2)*c^11 + 3408*a^6*(-b)^(31/2)*c^9 + 221*a^7*(-b)^(29/2)*c^10 + 2176*a^7*(-b)^(31/2)*c^8 - 20*a^8*(-b)^(27/2)*c^11 + 736*a^8*(-b)^(29/2)*c^9 - 144*a^9*(-b)^(27/2)*c^10 + 256*a^9*(-b)^(29/2)*c^8 + 18*a^5*(-b)^(31/2)*c^11 + 673*a^6*(-b)^(31/2)*c^10 + 32*a^7*(-b)^(29/2)*c^11 + 1488*a^7*(-b)^(31/2)*c^9 + 272*a^8*(-b)^(29/2)*c^10 + 256*a^8*(-b)^(31/2)*c^8 - 10*a^9*(-b)^(27/2)*c^11 + 256*a^9*(-b)^(29/2)*c^9 + 52*a^6*(-b)^(31/2)*c^11 + a^7*(-b)^(29/2)*c^12 + 416*a^7*(-b)^(31/2)*c^10 + 40*a^8*(-b)^(29/2)*c^11 + 256*a^8*(-b)^(31/2)*c^9 + 96*a^9*(-b)^(29/2)*c^10 + a^6*(-b)^(31/2)*c^12 + 50*a^7*(-b)^(31/2)*c^11 + 2*a^8*(-b)^(29/2)*c^12 + 96*a^8*(-b)^(31/2)*c^10 + 16*a^9*(-b)^(29/2)*c^11 + 2*a^7*(-b)^(31/2)*c^12 + 16*a^8*(-b)^(31/2)*c^11 + a^9*(-b)^(29/2)*c^12 + a^8*(-b)^(31/2)*c^12 - 1152*a*(-b)^(19/2)*c - 18432*a*(-b)^(21/2)*c + 2*a^6*(-b)^(9/2)*c - 24*a^5*(-b)^(11/2)*c + 4*a^7*(-b)^(9/2)*c + 70*a^4*(-b)^(13/2)*c - 48*a^6*(-b)^(11/2)*c + 2*a^8*(-b)^(9/2)*c - 288*a^3*(-b)^(15/2)*c + 60*a^5*(-b)^(13/2)*c - 8*a^7*(-b)^(11/2)*c + 1536*a^2*(-b)^(17/2)*c - 656*a^4*(-b)^(15/2)*c - 378*a^6*(-b)^(13/2)*c + 32*a^8*(-b)^(11/2)*c + 8064*a^3*(-b)^(17/2)*c + 656*a^5*(-b)^(15/2)*c - 784*a^7*(-b)^(13/2)*c + 16*a^9*(-b)^(11/2)*c - 9600*a^2*(-b)^(19/2)*c + 16384*a^4*(-b)^(17/2)*c + 3280*a^6*(-b)^(15/2)*c - 544*a^8*(-b)^(13/2)*c - 30720*a^3*(-b)^(19/2)*c + 15616*a^5*(-b)^(17/2)*c + 3664*a^7*(-b)^(15/2)*c - 128*a^9*(-b)^(13/2)*c - 1152*a*(-b)^(21/2)*c^2 - 46080*a^2*(-b)^(21/2)*c - 49920*a^4*(-b)^(19/2)*c + 6144*a^6*(-b)^(17/2)*c + 1664*a^8*(-b)^(15/2)*c - 61440*a^3*(-b)^(21/2)*c - 44160*a^5*(-b)^(19/2)*c - 128*a^7*(-b)^(17/2)*c + 256*a^9*(-b)^(15/2)*c + 46080*a*(-b)^(23/2)*c^2 - 46080*a^4*(-b)^(21/2)*c - 20352*a^6*(-b)^(19/2)*c - 512*a^8*(-b)^(17/2)*c + 9600*a*(-b)^(23/2)*c^3 - 18432*a^5*(-b)^(21/2)*c - 3840*a^7*(-b)^(19/2)*c - 3072*a^6*(-b)^(21/2)*c - 61440*a*(-b)^(25/2)*c^3 - 17280*a*(-b)^(25/2)*c^4 + 46080*a*(-b)^(27/2)*c^4 + 14976*a*(-b)^(27/2)*c^5 - 18432*a*(-b)^(29/2)*c^5 - 6528*a*(-b)^(29/2)*c^6 + 3072*a*(-b)^(31/2)*c^6 + 1152*a*(-b)^(31/2)*c^7))/((-b)^(1/4)*(a^6*b^17 + 9*a^7*b^17*c + 36*a^8*b^17*c^2 + 84*a^9*b^17*c^3 + 126*a^10*b^17*c^4 + 126*a^11*b^17*c^5 + 84*a^12*b^17*c^6 + 36*a^13*b^17*c^7 + 9*a^14*b^17*c^8 + a^15*b^17*c^9))))/(a^2*b^2) + (((-b)^(7/4)*1i - (a*(-b)^(3/4)*(4*b + b*c + 1)*1i)/4)*((((-b)^(7/4)*1i - (a*(-b)^(3/4)*(4*b + b*c + 1)*1i)/4)^3*((64*(36*a^12*(-b)^(25/4) - 4*a^13*(-b)^(21/4) + 48*a^13*(-b)^(25/4) - 60*a^11*(-b)^(29/4) - 240*a^12*(-b)^(29/4) - 192*a^13*(-b)^(29/4) - 180*a^10*(-b)^(33/4) - 240*a^11*(-b)^(33/4) + 192*a^12*(-b)^(33/4) + 240*a^9*(-b)^(37/4) + 256*a^13*(-b)^(33/4) + 1200*a^10*(-b)^(37/4) + 1728*a^11*(-b)^(37/4) + 320*a^8*(-b)^(41/4) + 768*a^12*(-b)^(37/4) + 1152*a^9*(-b)^(41/4) + 1344*a^10*(-b)^(41/4) + 512*a^11*(-b)^(41/4) - 144*a^13*(-b)^(29/4)*c^2 + 912*a^12*(-b)^(33/4)*c^2 + 1344*a^13*(-b)^(33/4)*c^2 + 336*a^13*(-b)^(33/4)*c^3 - 432*a^11*(-b)^(37/4)*c^2 - 4032*a^12*(-b)^(37/4)*c^2 - 1680*a^12*(-b)^(37/4)*c^3 - 4032*a^13*(-b)^(37/4)*c^2 - 4624*a^10*(-b)^(41/4)*c^2 - 2688*a^13*(-b)^(37/4)*c^3 - 9408*a^11*(-b)^(41/4)*c^2 - 504*a^13*(-b)^(37/4)*c^4 - 336*a^11*(-b)^(41/4)*c^3 - 1344*a^12*(-b)^(41/4)*c^2 + 3584*a^9*(-b)^(45/4)*c^2 + 5376*a^12*(-b)^(41/4)*c^3 + 3584*a^13*(-b)^(41/4)*c^2 + 20160*a^10*(-b)^(45/4)*c^2 + 1848*a^12*(-b)^(41/4)*c^4 + 6720*a^13*(-b)^(41/4)*c^3 + 8848*a^10*(-b)^(45/4)*c^3 + 30912*a^11*(-b)^(45/4)*c^2 + 3360*a^13*(-b)^(41/4)*c^4 + 6720*a^8*(-b)^(49/4)*c^2 + 21504*a^11*(-b)^(45/4)*c^3 + 14336*a^12*(-b)^(45/4)*c^2 + 504*a^13*(-b)^(41/4)*c^5 + 24192*a^9*(-b)^(49/4)*c^2 + 1848*a^11*(-b)^(45/4)*c^4 + 9408*a^12*(-b)^(45/4)*c^3 - 4032*a^9*(-b)^(49/4)*c^3 + 28224*a^10*(-b)^(49/4)*c^2 - 3360*a^12*(-b)^(45/4)*c^4 - 3584*a^13*(-b)^(45/4)*c^3 - 26880*a^10*(-b)^(49/4)*c^3 + 10752*a^11*(-b)^(49/4)*c^2 - 1176*a^12*(-b)^(45/4)*c^5 - 6720*a^13*(-b)^(45/4)*c^4 - 10584*a^10*(-b)^(49/4)*c^4 - 44352*a^11*(-b)^(49/4)*c^3 - 2688*a^13*(-b)^(45/4)*c^5 - 11200*a^8*(-b)^(53/4)*c^3 - 30240*a^11*(-b)^(49/4)*c^4 - 21504*a^12*(-b)^(49/4)*c^3 - 336*a^13*(-b)^(45/4)*c^6 - 40320*a^9*(-b)^(53/4)*c^3 - 2520*a^11*(-b)^(49/4)*c^5 - 20160*a^12*(-b)^(49/4)*c^4 + 1120*a^9*(-b)^(53/4)*c^4 - 47040*a^10*(-b)^(53/4)*c^3 + 16800*a^10*(-b)^(53/4)*c^4 - 17920*a^11*(-b)^(53/4)*c^3 + 336*a^12*(-b)^(49/4)*c^6 + 4032*a^13*(-b)^(49/4)*c^5 + 8120*a^10*(-b)^(53/4)*c^5 + 33600*a^11*(-b)^(53/4)*c^4 + 1344*a^13*(-b)^(49/4)*c^6 + 11200*a^8*(-b)^(57/4)*c^4 + 26880*a^11*(-b)^(53/4)*c^5 + 17920*a^12*(-b)^(53/4)*c^4 + 144*a^13*(-b)^(49/4)*c^7 + 40320*a^9*(-b)^(57/4)*c^4 + 1680*a^11*(-b)^(53/4)*c^6 + 22848*a^12*(-b)^(53/4)*c^5 + 2240*a^9*(-b)^(57/4)*c^5 + 47040*a^10*(-b)^(57/4)*c^4 + 1344*a^12*(-b)^(53/4)*c^6 + 3584*a^13*(-b)^(53/4)*c^5 + 17920*a^11*(-b)^(57/4)*c^4 + 48*a^12*(-b)^(53/4)*c^7 - 1344*a^13*(-b)^(53/4)*c^6 - 3920*a^10*(-b)^(57/4)*c^6 - 9408*a^11*(-b)^(57/4)*c^5 - 384*a^13*(-b)^(53/4)*c^7 - 6720*a^8*(-b)^(61/4)*c^5 - 14784*a^11*(-b)^(57/4)*c^6 - 7168*a^12*(-b)^(57/4)*c^5 - 36*a^13*(-b)^(53/4)*c^8 - 24192*a^9*(-b)^(61/4)*c^5 - 528*a^11*(-b)^(57/4)*c^7 - 14784*a^12*(-b)^(57/4)*c^6 - 2688*a^9*(-b)^(61/4)*c^6 - 28224*a^10*(-b)^(61/4)*c^5 - 768*a^12*(-b)^(57/4)*c^7 - 3584*a^13*(-b)^(57/4)*c^6 - 6720*a^10*(-b)^(61/4)*c^6 - 10752*a^11*(-b)^(61/4)*c^5 - 60*a^12*(-b)^(57/4)*c^8 + 192*a^13*(-b)^(57/4)*c^7 + 1104*a^10*(-b)^(61/4)*c^7 - 4032*a^11*(-b)^(61/4)*c^6 + 48*a^13*(-b)^(57/4)*c^8 + 2240*a^8*(-b)^(65/4)*c^6 + 4608*a^11*(-b)^(61/4)*c^7 + 4*a^13*(-b)^(57/4)*c^9 + 8064*a^9*(-b)^(65/4)*c^6 + 36*a^11*(-b)^(61/4)*c^8 + 5184*a^12*(-b)^(61/4)*c^7 + 1216*a^9*(-b)^(65/4)*c^7 + 9408*a^10*(-b)^(65/4)*c^6 + 144*a^12*(-b)^(61/4)*c^8 + 1536*a^13*(-b)^(61/4)*c^7 + 3840*a^10*(-b)^(65/4)*c^7 + 3584*a^11*(-b)^(65/4)*c^6 + 12*a^12*(-b)^(61/4)*c^9 - 148*a^10*(-b)^(65/4)*c^8 + 3648*a^11*(-b)^(65/4)*c^7 - 320*a^8*(-b)^(69/4)*c^7 - 624*a^11*(-b)^(65/4)*c^8 + 1024*a^12*(-b)^(65/4)*c^7 - 1152*a^9*(-b)^(69/4)*c^7 + 12*a^11*(-b)^(65/4)*c^9 - 768*a^12*(-b)^(65/4)*c^8 - 208*a^9*(-b)^(69/4)*c^8 - 1344*a^10*(-b)^(69/4)*c^7 - 256*a^13*(-b)^(65/4)*c^8 - 720*a^10*(-b)^(69/4)*c^8 - 512*a^11*(-b)^(69/4)*c^7 + 4*a^10*(-b)^(69/4)*c^9 - 768*a^11*(-b)^(69/4)*c^8 - 256*a^12*(-b)^(69/4)*c^8 + 36*a^13*(-b)^(25/4)*c - 276*a^12*(-b)^(29/4)*c - 384*a^13*(-b)^(29/4)*c + 300*a^11*(-b)^(33/4)*c + 1536*a^12*(-b)^(33/4)*c + 1344*a^13*(-b)^(33/4)*c + 1380*a^10*(-b)^(37/4)*c + 2304*a^11*(-b)^(37/4)*c - 576*a^12*(-b)^(37/4)*c - 1472*a^9*(-b)^(41/4)*c - 1536*a^13*(-b)^(37/4)*c - 7680*a^10*(-b)^(41/4)*c - 11328*a^11*(-b)^(41/4)*c - 2240*a^8*(-b)^(45/4)*c - 5120*a^12*(-b)^(41/4)*c - 8064*a^9*(-b)^(45/4)*c - 9408*a^10*(-b)^(45/4)*c - 3584*a^11*(-b)^(45/4)*c))/(a^7*b^18 + 9*a^8*b^18*c + 36*a^9*b^18*c^2 + 84*a^10*b^18*c^3 + 126*a^11*b^18*c^4 + 126*a^12*b^18*c^5 + 84*a^13*b^18*c^6 + 36*a^14*b^18*c^7 + 9*a^15*b^18*c^8 + a^16*b^18*c^9) + (64*((-b)^(7/4)*1i - (a*(-b)^(3/4)*(4*b + b*c + 1)*1i)/4)*(-(b*x - 1)/(c + x))^(1/4)*(16*a^13*(-b)^(11/2) - 80*a^12*(-b)^(13/2) - 80*a^11*(-b)^(15/2) - 128*a^13*(-b)^(13/2) + 400*a^10*(-b)^(17/2) + 128*a^12*(-b)^(15/2) + 896*a^9*(-b)^(19/2) + 1152*a^11*(-b)^(17/2) + 256*a^13*(-b)^(15/2) + 512*a^8*(-b)^(21/2) + 1920*a^10*(-b)^(19/2) + 768*a^12*(-b)^(17/2) + 1024*a^9*(-b)^(21/2) + 1024*a^11*(-b)^(19/2) + 512*a^10*(-b)^(21/2) + 448*a^13*(-b)^(15/2)*c^2 - 1344*a^12*(-b)^(17/2)*c^2 - 2624*a^11*(-b)^(19/2)*c^2 - 2688*a^13*(-b)^(17/2)*c^2 + 1088*a^10*(-b)^(21/2)*c^2 + 128*a^12*(-b)^(19/2)*c^2 - 896*a^13*(-b)^(17/2)*c^3 + 9600*a^9*(-b)^(23/2)*c^2 + 9344*a^11*(-b)^(21/2)*c^2 + 1792*a^12*(-b)^(19/2)*c^3 + 4096*a^13*(-b)^(19/2)*c^2 + 7680*a^8*(-b)^(25/2)*c^2 + 21888*a^10*(-b)^(23/2)*c^2 + 4096*a^11*(-b)^(21/2)*c^3 + 8704*a^12*(-b)^(21/2)*c^2 + 4480*a^13*(-b)^(19/2)*c^3 + 15360*a^9*(-b)^(25/2)*c^2 + 3328*a^10*(-b)^(23/2)*c^3 + 12288*a^11*(-b)^(23/2)*c^2 + 128*a^12*(-b)^(21/2)*c^3 + 1120*a^13*(-b)^(19/2)*c^4 - 8320*a^9*(-b)^(25/2)*c^3 + 7680*a^10*(-b)^(25/2)*c^2 - 4992*a^11*(-b)^(23/2)*c^3 - 1120*a^12*(-b)^(21/2)*c^4 - 6656*a^13*(-b)^(21/2)*c^3 - 10240*a^8*(-b)^(27/2)*c^3 - 21120*a^10*(-b)^(25/2)*c^3 - 2400*a^11*(-b)^(23/2)*c^4 - 9216*a^12*(-b)^(23/2)*c^3 - 4480*a^13*(-b)^(21/2)*c^4 - 20480*a^9*(-b)^(27/2)*c^3 - 7200*a^10*(-b)^(25/2)*c^4 - 12800*a^11*(-b)^(25/2)*c^3 + 1920*a^12*(-b)^(23/2)*c^4 - 896*a^13*(-b)^(21/2)*c^5 + 640*a^9*(-b)^(27/2)*c^4 - 10240*a^10*(-b)^(27/2)*c^3 - 3200*a^11*(-b)^(25/2)*c^4 + 7680*a^13*(-b)^(23/2)*c^4 + 7680*a^8*(-b)^(29/2)*c^4 + 5760*a^10*(-b)^(27/2)*c^4 - 1280*a^11*(-b)^(25/2)*c^5 + 5120*a^12*(-b)^(25/2)*c^4 + 2688*a^13*(-b)^(23/2)*c^5 + 15360*a^9*(-b)^(29/2)*c^4 + 5120*a^10*(-b)^(27/2)*c^5 + 5120*a^11*(-b)^(27/2)*c^4 - 5248*a^12*(-b)^(25/2)*c^5 + 448*a^13*(-b)^(23/2)*c^6 + 4224*a^9*(-b)^(29/2)*c^5 + 7680*a^10*(-b)^(29/2)*c^4 + 3968*a^11*(-b)^(27/2)*c^5 + 448*a^12*(-b)^(25/2)*c^6 - 6656*a^13*(-b)^(25/2)*c^5 - 3072*a^8*(-b)^(31/2)*c^5 + 5760*a^10*(-b)^(29/2)*c^5 + 2752*a^11*(-b)^(27/2)*c^6 - 2048*a^12*(-b)^(27/2)*c^5 - 896*a^13*(-b)^(25/2)*c^6 - 6144*a^9*(-b)^(31/2)*c^5 - 704*a^10*(-b)^(29/2)*c^6 + 1536*a^11*(-b)^(29/2)*c^5 + 5504*a^12*(-b)^(27/2)*c^6 - 128*a^13*(-b)^(25/2)*c^7 - 2944*a^9*(-b)^(31/2)*c^6 - 3072*a^10*(-b)^(31/2)*c^5 + 384*a^11*(-b)^(29/2)*c^6 - 256*a^12*(-b)^(27/2)*c^7 + 4096*a^13*(-b)^(27/2)*c^6 + 512*a^8*(-b)^(33/2)*c^6 - 4992*a^10*(-b)^(31/2)*c^6 - 1536*a^11*(-b)^(29/2)*c^7 + 1536*a^12*(-b)^(29/2)*c^6 + 128*a^13*(-b)^(27/2)*c^7 + 1024*a^9*(-b)^(33/2)*c^6 - 768*a^10*(-b)^(31/2)*c^7 - 2048*a^11*(-b)^(31/2)*c^6 - 2688*a^12*(-b)^(29/2)*c^7 + 16*a^13*(-b)^(27/2)*c^8 + 640*a^9*(-b)^(33/2)*c^7 + 512*a^10*(-b)^(33/2)*c^6 - 1664*a^11*(-b)^(31/2)*c^7 + 48*a^12*(-b)^(29/2)*c^8 - 1536*a^13*(-b)^(29/2)*c^7 + 1152*a^10*(-b)^(33/2)*c^7 + 304*a^11*(-b)^(31/2)*c^8 - 1024*a^12*(-b)^(31/2)*c^7 + 272*a^10*(-b)^(33/2)*c^8 + 512*a^11*(-b)^(33/2)*c^7 + 512*a^12*(-b)^(31/2)*c^8 + 512*a^11*(-b)^(33/2)*c^8 + 256*a^13*(-b)^(31/2)*c^8 + 256*a^12*(-b)^(33/2)*c^8 - 128*a^13*(-b)^(13/2)*c + 512*a^12*(-b)^(15/2)*c + 768*a^11*(-b)^(17/2)*c + 896*a^13*(-b)^(15/2)*c - 1536*a^10*(-b)^(19/2)*c - 384*a^12*(-b)^(17/2)*c - 4736*a^9*(-b)^(21/2)*c - 5504*a^11*(-b)^(19/2)*c - 1536*a^13*(-b)^(17/2)*c - 3072*a^8*(-b)^(23/2)*c - 10368*a^10*(-b)^(21/2)*c - 4096*a^12*(-b)^(19/2)*c - 6144*a^9*(-b)^(23/2)*c - 5632*a^11*(-b)^(21/2)*c - 3072*a^10*(-b)^(23/2)*c))/(a^2*(-b)^(9/4)*(a^6*b^17 + 9*a^7*b^17*c + 36*a^8*b^17*c^2 + 84*a^9*b^17*c^3 + 126*a^10*b^17*c^4 + 126*a^11*b^17*c^5 + 84*a^12*b^17*c^6 + 36*a^13*b^17*c^7 + 9*a^14*b^17*c^8 + a^15*b^17*c^9))))/(a^6*b^6) - (64*(-(b*x - 1)/(c + x))^(1/4)*(512*(-b)^(19/2) + a^5*(-b)^(9/2) + a^4*(-b)^(11/2) + 2*a^6*(-b)^(9/2) - 16*a^3*(-b)^(13/2) + 18*a^5*(-b)^(11/2) + a^7*(-b)^(9/2) - 144*a^2*(-b)^(15/2) - 176*a^4*(-b)^(13/2) + 49*a^6*(-b)^(11/2) - 576*a^3*(-b)^(15/2) - 560*a^5*(-b)^(13/2) + 48*a^7*(-b)^(11/2) + 2688*a^2*(-b)^(17/2) - 608*a^4*(-b)^(15/2) - 784*a^6*(-b)^(13/2) + 16*a^8*(-b)^(11/2) + 7680*a^3*(-b)^(17/2) + 448*a^5*(-b)^(15/2) - 512*a^7*(-b)^(13/2) + 7680*a^2*(-b)^(19/2) + 11520*a^4*(-b)^(17/2) + 1392*a^6*(-b)^(15/2) - 128*a^8*(-b)^(13/2) + 10240*a^3*(-b)^(19/2) + 9600*a^5*(-b)^(17/2) + 1024*a^7*(-b)^(15/2) + 7680*a^4*(-b)^(19/2) + 4224*a^6*(-b)^(17/2) + 256*a^8*(-b)^(15/2) + 3072*a^5*(-b)^(19/2) + 768*a^7*(-b)^(17/2) + 512*a^6*(-b)^(19/2) + 7680*(-b)^(23/2)*c^2 - 10240*(-b)^(25/2)*c^3 + 7680*(-b)^(27/2)*c^4 - 3072*(-b)^(29/2)*c^5 + 512*(-b)^(31/2)*c^6 + 384*a*(-b)^(17/2) + 3072*a*(-b)^(19/2) - 3072*(-b)^(21/2)*c + a^7*(-b)^(9/2)*c^2 - 35*a^6*(-b)^(11/2)*c^2 + 2*a^8*(-b)^(9/2)*c^2 + 265*a^5*(-b)^(13/2)*c^2 - 86*a^7*(-b)^(11/2)*c^2 + a^9*(-b)^(9/2)*c^2 - 851*a^4*(-b)^(15/2)*c^2 + 738*a^6*(-b)^(13/2)*c^2 - 10*a^7*(-b)^(11/2)*c^3 - 67*a^8*(-b)^(11/2)*c^2 + 2496*a^3*(-b)^(17/2)*c^2 - 2566*a^5*(-b)^(15/2)*c^2 + 224*a^6*(-b)^(13/2)*c^3 + 649*a^7*(-b)^(13/2)*c^2 - 20*a^8*(-b)^(11/2)*c^3 - 16*a^9*(-b)^(11/2)*c^2 - 5184*a^2*(-b)^(19/2)*c^2 + 10432*a^4*(-b)^(17/2)*c^2 - 1358*a^5*(-b)^(15/2)*c^3 - 1907*a^6*(-b)^(15/2)*c^2 + 592*a^7*(-b)^(13/2)*c^3 + 144*a^8*(-b)^(13/2)*c^2 - 10*a^9*(-b)^(11/2)*c^3 - 31104*a^3*(-b)^(19/2)*c^2 + 3784*a^4*(-b)^(17/2)*c^3 + 14912*a^5*(-b)^(17/2)*c^2 - 4364*a^6*(-b)^(15/2)*c^3 + 45*a^7*(-b)^(13/2)*c^4 + 1120*a^7*(-b)^(15/2)*c^2 + 512*a^8*(-b)^(13/2)*c^3 - 32*a^9*(-b)^(13/2)*c^2 + 1152*a^2*(-b)^(21/2)*c^2 - 7552*a^3*(-b)^(19/2)*c^3 - 74624*a^4*(-b)^(19/2)*c^2 + 14288*a^5*(-b)^(17/2)*c^3 - 771*a^6*(-b)^(15/2)*c^4 + 5824*a^6*(-b)^(17/2)*c^2 - 4974*a^7*(-b)^(15/2)*c^3 + 90*a^8*(-b)^(13/2)*c^4 + 1952*a^8*(-b)^(15/2)*c^2 + 144*a^9*(-b)^(13/2)*c^3 + 6912*a^2*(-b)^(21/2)*c^3 + 23040*a^3*(-b)^(21/2)*c^2 - 36800*a^4*(-b)^(19/2)*c^3 + 3874*a^5*(-b)^(17/2)*c^4 - 91136*a^5*(-b)^(19/2)*c^2 + 19144*a^6*(-b)^(17/2)*c^3 - 2118*a^7*(-b)^(15/2)*c^4 - 5120*a^7*(-b)^(17/2)*c^2 - 2288*a^8*(-b)^(15/2)*c^3 + 45*a^9*(-b)^(13/2)*c^4 + 640*a^9*(-b)^(15/2)*c^2 + 115200*a^2*(-b)^(23/2)*c^2 + 49536*a^3*(-b)^(21/2)*c^3 - 8750*a^4*(-b)^(19/2)*c^4 + 57600*a^4*(-b)^(21/2)*c^2 - 68032*a^5*(-b)^(19/2)*c^3 + 13444*a^6*(-b)^(17/2)*c^4 - 58944*a^6*(-b)^(19/2)*c^2 - 120*a^7*(-b)^(15/2)*c^5 + 9664*a^7*(-b)^(17/2)*c^3 - 1923*a^8*(-b)^(15/2)*c^4 - 5248*a^8*(-b)^(17/2)*c^2 - 320*a^9*(-b)^(15/2)*c^3 + 44160*a^2*(-b)^(23/2)*c^3 + 11040*a^3*(-b)^(21/2)*c^4 + 153600*a^3*(-b)^(23/2)*c^2 + 137728*a^4*(-b)^(21/2)*c^3 - 36988*a^5*(-b)^(19/2)*c^4 + 63360*a^5*(-b)^(21/2)*c^2 + 1644*a^6*(-b)^(17/2)*c^5 - 56512*a^6*(-b)^(19/2)*c^3 + 17058*a^7*(-b)^(17/2)*c^4 - 18560*a^7*(-b)^(19/2)*c^2 - 240*a^8*(-b)^(15/2)*c^5 + 128*a^8*(-b)^(17/2)*c^3 - 576*a^9*(-b)^(15/2)*c^4 - 1280*a^9*(-b)^(17/2)*c^2 - 480*a^2*(-b)^(23/2)*c^4 + 76800*a^3*(-b)^(23/2)*c^3 + 60640*a^4*(-b)^(21/2)*c^4 + 115200*a^4*(-b)^(23/2)*c^2 - 6776*a^5*(-b)^(19/2)*c^5 + 193792*a^5*(-b)^(21/2)*c^3 - 59150*a^6*(-b)^(19/2)*c^4 + 33408*a^6*(-b)^(21/2)*c^2 + 4632*a^7*(-b)^(17/2)*c^5 - 16064*a^7*(-b)^(19/2)*c^3 + 9280*a^8*(-b)^(17/2)*c^4 - 2048*a^8*(-b)^(19/2)*c^2 - 120*a^9*(-b)^(15/2)*c^5 - 896*a^9*(-b)^(17/2)*c^3 - 153600*a^2*(-b)^(25/2)*c^3 - 23040*a^3*(-b)^(23/2)*c^4 + 11620*a^4*(-b)^(21/2)*c^5 + 57600*a^4*(-b)^(23/2)*c^3 + 128864*a^5*(-b)^(21/2)*c^4 + 46080*a^5*(-b)^(23/2)*c^2 - 24752*a^6*(-b)^(19/2)*c^5 + 146688*a^6*(-b)^(21/2)*c^3 + 210*a^7*(-b)^(17/2)*c^6 - 43232*a^7*(-b)^(19/2)*c^4 + 6912*a^7*(-b)^(21/2)*c^2 + 4332*a^8*(-b)^(17/2)*c^5 + 3968*a^8*(-b)^(19/2)*c^3 + 1792*a^9*(-b)^(17/2)*c^4 - 90240*a^2*(-b)^(25/2)*c^4 - 7104*a^3*(-b)^(23/2)*c^5 - 204800*a^3*(-b)^(25/2)*c^3 - 100160*a^4*(-b)^(23/2)*c^4 + 53480*a^5*(-b)^(21/2)*c^5 + 9600*a^5*(-b)^(23/2)*c^3 - 2310*a^6*(-b)^(19/2)*c^6 + 131872*a^6*(-b)^(21/2)*c^4 + 7680*a^6*(-b)^(23/2)*c^2 - 33432*a^7*(-b)^(19/2)*c^5 + 56704*a^7*(-b)^(21/2)*c^3 + 420*a^8*(-b)^(17/2)*c^6 - 13216*a^8*(-b)^(19/2)*c^4 + 1344*a^9*(-b)^(17/2)*c^5 + 2304*a^9*(-b)^(19/2)*c^3 - 9216*a^2*(-b)^(25/2)*c^5 - 192000*a^3*(-b)^(25/2)*c^4 - 48224*a^4*(-b)^(23/2)*c^5 - 153600*a^4*(-b)^(25/2)*c^3 + 7546*a^5*(-b)^(21/2)*c^6 - 179840*a^5*(-b)^(23/2)*c^4 + 94948*a^6*(-b)^(21/2)*c^5 - 9600*a^6*(-b)^(23/2)*c^3 - 6636*a^7*(-b)^(19/2)*c^6 + 63232*a^7*(-b)^(21/2)*c^4 - 19712*a^8*(-b)^(19/2)*c^5 + 8704*a^8*(-b)^(21/2)*c^3 + 210*a^9*(-b)^(17/2)*c^6 - 896*a^9*(-b)^(19/2)*c^4 + 115200*a^2*(-b)^(27/2)*c^4 - 31104*a^3*(-b)^(25/2)*c^5 - 8750*a^4*(-b)^(23/2)*c^6 - 211200*a^4*(-b)^(25/2)*c^4 - 121120*a^5*(-b)^(23/2)*c^5 - 61440*a^5*(-b)^(25/2)*c^3 + 28756*a^6*(-b)^(21/2)*c^6 - 161760*a^6*(-b)^(23/2)*c^4 - 252*a^7*(-b)^(19/2)*c^7 + 80416*a^7*(-b)^(21/2)*c^5 - 3840*a^7*(-b)^(23/2)*c^3 - 6342*a^8*(-b)^(19/2)*c^6 + 9344*a^8*(-b)^(21/2)*c^4 - 4256*a^9*(-b)^(19/2)*c^5 + 81792*a^2*(-b)^(27/2)*c^5 - 832*a^3*(-b)^(25/2)*c^6 + 153600*a^3*(-b)^(27/2)*c^4 - 23552*a^4*(-b)^(25/2)*c^5 - 44380*a^5*(-b)^(23/2)*c^6 - 124800*a^5*(-b)^(25/2)*c^4 + 2184*a^6*(-b)^(21/2)*c^7 - 146336*a^6*(-b)^(23/2)*c^5 - 10240*a^6*(-b)^(25/2)*c^3 + 40698*a^7*(-b)^(21/2)*c^6 - 72320*a^7*(-b)^(23/2)*c^4 - 504*a^8*(-b)^(19/2)*c^7 + 31808*a^8*(-b)^(21/2)*c^5 - 2016*a^9*(-b)^(19/2)*c^6 - 1280*a^9*(-b)^(21/2)*c^4 + 10944*a^2*(-b)^(27/2)*c^6 + 184320*a^3*(-b)^(27/2)*c^5 + 8896*a^4*(-b)^(25/2)*c^6 + 115200*a^4*(-b)^(27/2)*c^4 - 5300*a^5*(-b)^(23/2)*c^7 + 32512*a^5*(-b)^(25/2)*c^5 - 86702*a^6*(-b)^(23/2)*c^6 - 36480*a^6*(-b)^(25/2)*c^4 + 6384*a^7*(-b)^(21/2)*c^7 - 87968*a^7*(-b)^(23/2)*c^5 + 25312*a^8*(-b)^(21/2)*c^6 - 12800*a^8*(-b)^(23/2)*c^4 - 252*a^9*(-b)^(19/2)*c^7 + 4480*a^9*(-b)^(21/2)*c^5 - 46080*a^2*(-b)^(29/2)*c^5 + 49536*a^3*(-b)^(27/2)*c^6 + 3016*a^4*(-b)^(25/2)*c^7 + 218880*a^4*(-b)^(27/2)*c^5 + 44864*a^5*(-b)^(25/2)*c^6 + 46080*a^5*(-b)^(27/2)*c^4 - 21128*a^6*(-b)^(23/2)*c^7 + 66048*a^6*(-b)^(25/2)*c^5 + 210*a^7*(-b)^(21/2)*c^8 - 81536*a^7*(-b)^(23/2)*c^6 - 3840*a^7*(-b)^(25/2)*c^4 + 6216*a^8*(-b)^(21/2)*c^7 - 22912*a^8*(-b)^(23/2)*c^5 + 5824*a^9*(-b)^(21/2)*c^6 - 36480*a^2*(-b)^(29/2)*c^6 + 4224*a^3*(-b)^(27/2)*c^7 - 61440*a^3*(-b)^(29/2)*c^5 + 86656*a^4*(-b)^(27/2)*c^6 + 18896*a^5*(-b)^(25/2)*c^7 + 144000*a^5*(-b)^(27/2)*c^5 - 1374*a^6*(-b)^(23/2)*c^8 + 75200*a^6*(-b)^(25/2)*c^6 + 7680*a^6*(-b)^(27/2)*c^4 - 31284*a^7*(-b)^(23/2)*c^7 + 40576*a^7*(-b)^(25/2)*c^5 + 420*a^8*(-b)^(21/2)*c^8 - 36736*a^8*(-b)^(23/2)*c^6 + 2016*a^9*(-b)^(21/2)*c^7 - 1280*a^9*(-b)^(23/2)*c^5 - 5376*a^2*(-b)^(29/2)*c^7 - 84480*a^3*(-b)^(29/2)*c^6 + 13888*a^4*(-b)^(27/2)*c^7 - 46080*a^4*(-b)^(29/2)*c^5 + 2173*a^5*(-b)^(25/2)*c^8 + 70144*a^5*(-b)^(27/2)*c^6 + 42952*a^6*(-b)^(25/2)*c^7 + 49536*a^6*(-b)^(27/2)*c^5 - 4092*a^7*(-b)^(23/2)*c^8 + 57856*a^7*(-b)^(25/2)*c^6 - 20384*a^8*(-b)^(23/2)*c^7 + 8704*a^8*(-b)^(25/2)*c^5 + 210*a^9*(-b)^(21/2)*c^8 - 6272*a^9*(-b)^(23/2)*c^6 + 7680*a^2*(-b)^(31/2)*c^6 - 26496*a^3*(-b)^(29/2)*c^7 + 301*a^4*(-b)^(27/2)*c^8 - 103680*a^4*(-b)^(29/2)*c^6 + 12608*a^5*(-b)^(27/2)*c^7 - 18432*a^5*(-b)^(29/2)*c^5 + 9274*a^6*(-b)^(25/2)*c^8 + 21696*a^6*(-b)^(27/2)*c^6 - 120*a^7*(-b)^(23/2)*c^9 + 45760*a^7*(-b)^(25/2)*c^7 + 6912*a^7*(-b)^(27/2)*c^5 - 4062*a^8*(-b)^(23/2)*c^8 + 20096*a^8*(-b)^(25/2)*c^6 - 4928*a^9*(-b)^(23/2)*c^7 + 6528*a^2*(-b)^(31/2)*c^7 - 2448*a^3*(-b)^(29/2)*c^8 + 10240*a^3*(-b)^(31/2)*c^6 - 52736*a^4*(-b)^(29/2)*c^7 - 1558*a^5*(-b)^(27/2)*c^8 - 71040*a^5*(-b)^(29/2)*c^6 + 546*a^6*(-b)^(25/2)*c^9 - 4544*a^6*(-b)^(27/2)*c^7 - 3072*a^6*(-b)^(29/2)*c^5 + 14589*a^7*(-b)^(25/2)*c^8 - 2432*a^7*(-b)^(27/2)*c^6 - 240*a^8*(-b)^(23/2)*c^9 + 23168*a^8*(-b)^(25/2)*c^7 - 1344*a^9*(-b)^(23/2)*c^8 + 2304*a^9*(-b)^(25/2)*c^6 + 1008*a^2*(-b)^(31/2)*c^8 + 15360*a^3*(-b)^(31/2)*c^7 - 10160*a^4*(-b)^(29/2)*c^8 + 7680*a^4*(-b)^(31/2)*c^6 - 384*a^5*(-b)^(27/2)*c^9 - 53504*a^5*(-b)^(29/2)*c^7 - 8099*a^6*(-b)^(27/2)*c^8 - 25728*a^6*(-b)^(29/2)*c^6 + 1668*a^7*(-b)^(25/2)*c^9 - 13760*a^7*(-b)^(27/2)*c^7 + 10048*a^8*(-b)^(25/2)*c^8 - 2048*a^8*(-b)^(27/2)*c^6 - 120*a^9*(-b)^(23/2)*c^9 + 4480*a^9*(-b)^(25/2)*c^7 + 5184*a^3*(-b)^(31/2)*c^8 - 570*a^4*(-b)^(29/2)*c^9 + 19200*a^4*(-b)^(31/2)*c^7 - 16048*a^5*(-b)^(29/2)*c^8 + 3072*a^5*(-b)^(31/2)*c^6 - 1984*a^6*(-b)^(27/2)*c^9 - 28416*a^6*(-b)^(29/2)*c^7 + 45*a^7*(-b)^(25/2)*c^10 - 11984*a^7*(-b)^(27/2)*c^8 - 3840*a^7*(-b)^(29/2)*c^6 + 1698*a^8*(-b)^(25/2)*c^9 - 7552*a^8*(-b)^(27/2)*c^7 + 2560*a^9*(-b)^(25/2)*c^8 + 480*a^3*(-b)^(31/2)*c^9 + 10912*a^4*(-b)^(31/2)*c^8 - 1732*a^5*(-b)^(29/2)*c^9 + 13440*a^5*(-b)^(31/2)*c^7 - 119*a^6*(-b)^(27/2)*c^10 - 11408*a^6*(-b)^(29/2)*c^8 + 512*a^6*(-b)^(31/2)*c^6 - 3568*a^7*(-b)^(27/2)*c^9 - 7040*a^7*(-b)^(29/2)*c^7 + 90*a^8*(-b)^(25/2)*c^10 - 7408*a^8*(-b)^(27/2)*c^8 + 576*a^9*(-b)^(25/2)*c^9 - 1280*a^9*(-b)^(27/2)*c^7 + 2160*a^4*(-b)^(31/2)*c^9 - 35*a^5*(-b)^(29/2)*c^10 + 11968*a^5*(-b)^(31/2)*c^8 - 1530*a^6*(-b)^(29/2)*c^9 + 4992*a^6*(-b)^(31/2)*c^7 - 382*a^7*(-b)^(27/2)*c^10 - 2816*a^7*(-b)^(29/2)*c^8 - 2720*a^8*(-b)^(27/2)*c^9 - 512*a^8*(-b)^(29/2)*c^7 + 45*a^9*(-b)^(25/2)*c^10 - 1664*a^9*(-b)^(27/2)*c^8 + 129*a^4*(-b)^(31/2)*c^10 + 3856*a^5*(-b)^(31/2)*c^9 + 10*a^6*(-b)^(29/2)*c^10 + 7152*a^6*(-b)^(31/2)*c^8 - 10*a^7*(-b)^(27/2)*c^11 + 112*a^7*(-b)^(29/2)*c^9 + 768*a^7*(-b)^(31/2)*c^7 - 407*a^8*(-b)^(27/2)*c^10 + 512*a^8*(-b)^(29/2)*c^8 - 752*a^9*(-b)^(27/2)*c^9 + 482*a^5*(-b)^(31/2)*c^10 + 8*a^6*(-b)^(29/2)*c^11 + 3408*a^6*(-b)^(31/2)*c^9 + 221*a^7*(-b)^(29/2)*c^10 + 2176*a^7*(-b)^(31/2)*c^8 - 20*a^8*(-b)^(27/2)*c^11 + 736*a^8*(-b)^(29/2)*c^9 - 144*a^9*(-b)^(27/2)*c^10 + 256*a^9*(-b)^(29/2)*c^8 + 18*a^5*(-b)^(31/2)*c^11 + 673*a^6*(-b)^(31/2)*c^10 + 32*a^7*(-b)^(29/2)*c^11 + 1488*a^7*(-b)^(31/2)*c^9 + 272*a^8*(-b)^(29/2)*c^10 + 256*a^8*(-b)^(31/2)*c^8 - 10*a^9*(-b)^(27/2)*c^11 + 256*a^9*(-b)^(29/2)*c^9 + 52*a^6*(-b)^(31/2)*c^11 + a^7*(-b)^(29/2)*c^12 + 416*a^7*(-b)^(31/2)*c^10 + 40*a^8*(-b)^(29/2)*c^11 + 256*a^8*(-b)^(31/2)*c^9 + 96*a^9*(-b)^(29/2)*c^10 + a^6*(-b)^(31/2)*c^12 + 50*a^7*(-b)^(31/2)*c^11 + 2*a^8*(-b)^(29/2)*c^12 + 96*a^8*(-b)^(31/2)*c^10 + 16*a^9*(-b)^(29/2)*c^11 + 2*a^7*(-b)^(31/2)*c^12 + 16*a^8*(-b)^(31/2)*c^11 + a^9*(-b)^(29/2)*c^12 + a^8*(-b)^(31/2)*c^12 - 1152*a*(-b)^(19/2)*c - 18432*a*(-b)^(21/2)*c + 2*a^6*(-b)^(9/2)*c - 24*a^5*(-b)^(11/2)*c + 4*a^7*(-b)^(9/2)*c + 70*a^4*(-b)^(13/2)*c - 48*a^6*(-b)^(11/2)*c + 2*a^8*(-b)^(9/2)*c - 288*a^3*(-b)^(15/2)*c + 60*a^5*(-b)^(13/2)*c - 8*a^7*(-b)^(11/2)*c + 1536*a^2*(-b)^(17/2)*c - 656*a^4*(-b)^(15/2)*c - 378*a^6*(-b)^(13/2)*c + 32*a^8*(-b)^(11/2)*c + 8064*a^3*(-b)^(17/2)*c + 656*a^5*(-b)^(15/2)*c - 784*a^7*(-b)^(13/2)*c + 16*a^9*(-b)^(11/2)*c - 9600*a^2*(-b)^(19/2)*c + 16384*a^4*(-b)^(17/2)*c + 3280*a^6*(-b)^(15/2)*c - 544*a^8*(-b)^(13/2)*c - 30720*a^3*(-b)^(19/2)*c + 15616*a^5*(-b)^(17/2)*c + 3664*a^7*(-b)^(15/2)*c - 128*a^9*(-b)^(13/2)*c - 1152*a*(-b)^(21/2)*c^2 - 46080*a^2*(-b)^(21/2)*c - 49920*a^4*(-b)^(19/2)*c + 6144*a^6*(-b)^(17/2)*c + 1664*a^8*(-b)^(15/2)*c - 61440*a^3*(-b)^(21/2)*c - 44160*a^5*(-b)^(19/2)*c - 128*a^7*(-b)^(17/2)*c + 256*a^9*(-b)^(15/2)*c + 46080*a*(-b)^(23/2)*c^2 - 46080*a^4*(-b)^(21/2)*c - 20352*a^6*(-b)^(19/2)*c - 512*a^8*(-b)^(17/2)*c + 9600*a*(-b)^(23/2)*c^3 - 18432*a^5*(-b)^(21/2)*c - 3840*a^7*(-b)^(19/2)*c - 3072*a^6*(-b)^(21/2)*c - 61440*a*(-b)^(25/2)*c^3 - 17280*a*(-b)^(25/2)*c^4 + 46080*a*(-b)^(27/2)*c^4 + 14976*a*(-b)^(27/2)*c^5 - 18432*a*(-b)^(29/2)*c^5 - 6528*a*(-b)^(29/2)*c^6 + 3072*a*(-b)^(31/2)*c^6 + 1152*a*(-b)^(31/2)*c^7))/((-b)^(1/4)*(a^6*b^17 + 9*a^7*b^17*c + 36*a^8*b^17*c^2 + 84*a^9*b^17*c^3 + 126*a^10*b^17*c^4 + 126*a^11*b^17*c^5 + 84*a^12*b^17*c^6 + 36*a^13*b^17*c^7 + 9*a^14*b^17*c^8 + a^15*b^17*c^9))))/(a^2*b^2)))*((-b)^(7/4)*1i - (a*(-b)^(3/4)*(4*b + b*c + 1)*1i)/4)*2i)/(a^2*b^2) + (atan((((b*((-b)^(3/4) + a*((-b)^(3/4) + ((-b)^(3/4)*c)/4)) + (a*(-b)^(3/4))/4)*((64*(-(b*x - 1)/(c + x))^(1/4)*(512*(-b)^(19/2) + a^5*(-b)^(9/2) + a^4*(-b)^(11/2) + 2*a^6*(-b)^(9/2) - 16*a^3*(-b)^(13/2) + 18*a^5*(-b)^(11/2) + a^7*(-b)^(9/2) - 144*a^2*(-b)^(15/2) - 176*a^4*(-b)^(13/2) + 49*a^6*(-b)^(11/2) - 576*a^3*(-b)^(15/2) - 560*a^5*(-b)^(13/2) + 48*a^7*(-b)^(11/2) + 2688*a^2*(-b)^(17/2) - 608*a^4*(-b)^(15/2) - 784*a^6*(-b)^(13/2) + 16*a^8*(-b)^(11/2) + 7680*a^3*(-b)^(17/2) + 448*a^5*(-b)^(15/2) - 512*a^7*(-b)^(13/2) + 7680*a^2*(-b)^(19/2) + 11520*a^4*(-b)^(17/2) + 1392*a^6*(-b)^(15/2) - 128*a^8*(-b)^(13/2) + 10240*a^3*(-b)^(19/2) + 9600*a^5*(-b)^(17/2) + 1024*a^7*(-b)^(15/2) + 7680*a^4*(-b)^(19/2) + 4224*a^6*(-b)^(17/2) + 256*a^8*(-b)^(15/2) + 3072*a^5*(-b)^(19/2) + 768*a^7*(-b)^(17/2) + 512*a^6*(-b)^(19/2) + 7680*(-b)^(23/2)*c^2 - 10240*(-b)^(25/2)*c^3 + 7680*(-b)^(27/2)*c^4 - 3072*(-b)^(29/2)*c^5 + 512*(-b)^(31/2)*c^6 + 384*a*(-b)^(17/2) + 3072*a*(-b)^(19/2) - 3072*(-b)^(21/2)*c + a^7*(-b)^(9/2)*c^2 - 35*a^6*(-b)^(11/2)*c^2 + 2*a^8*(-b)^(9/2)*c^2 + 265*a^5*(-b)^(13/2)*c^2 - 86*a^7*(-b)^(11/2)*c^2 + a^9*(-b)^(9/2)*c^2 - 851*a^4*(-b)^(15/2)*c^2 + 738*a^6*(-b)^(13/2)*c^2 - 10*a^7*(-b)^(11/2)*c^3 - 67*a^8*(-b)^(11/2)*c^2 + 2496*a^3*(-b)^(17/2)*c^2 - 2566*a^5*(-b)^(15/2)*c^2 + 224*a^6*(-b)^(13/2)*c^3 + 649*a^7*(-b)^(13/2)*c^2 - 20*a^8*(-b)^(11/2)*c^3 - 16*a^9*(-b)^(11/2)*c^2 - 5184*a^2*(-b)^(19/2)*c^2 + 10432*a^4*(-b)^(17/2)*c^2 - 1358*a^5*(-b)^(15/2)*c^3 - 1907*a^6*(-b)^(15/2)*c^2 + 592*a^7*(-b)^(13/2)*c^3 + 144*a^8*(-b)^(13/2)*c^2 - 10*a^9*(-b)^(11/2)*c^3 - 31104*a^3*(-b)^(19/2)*c^2 + 3784*a^4*(-b)^(17/2)*c^3 + 14912*a^5*(-b)^(17/2)*c^2 - 4364*a^6*(-b)^(15/2)*c^3 + 45*a^7*(-b)^(13/2)*c^4 + 1120*a^7*(-b)^(15/2)*c^2 + 512*a^8*(-b)^(13/2)*c^3 - 32*a^9*(-b)^(13/2)*c^2 + 1152*a^2*(-b)^(21/2)*c^2 - 7552*a^3*(-b)^(19/2)*c^3 - 74624*a^4*(-b)^(19/2)*c^2 + 14288*a^5*(-b)^(17/2)*c^3 - 771*a^6*(-b)^(15/2)*c^4 + 5824*a^6*(-b)^(17/2)*c^2 - 4974*a^7*(-b)^(15/2)*c^3 + 90*a^8*(-b)^(13/2)*c^4 + 1952*a^8*(-b)^(15/2)*c^2 + 144*a^9*(-b)^(13/2)*c^3 + 6912*a^2*(-b)^(21/2)*c^3 + 23040*a^3*(-b)^(21/2)*c^2 - 36800*a^4*(-b)^(19/2)*c^3 + 3874*a^5*(-b)^(17/2)*c^4 - 91136*a^5*(-b)^(19/2)*c^2 + 19144*a^6*(-b)^(17/2)*c^3 - 2118*a^7*(-b)^(15/2)*c^4 - 5120*a^7*(-b)^(17/2)*c^2 - 2288*a^8*(-b)^(15/2)*c^3 + 45*a^9*(-b)^(13/2)*c^4 + 640*a^9*(-b)^(15/2)*c^2 + 115200*a^2*(-b)^(23/2)*c^2 + 49536*a^3*(-b)^(21/2)*c^3 - 8750*a^4*(-b)^(19/2)*c^4 + 57600*a^4*(-b)^(21/2)*c^2 - 68032*a^5*(-b)^(19/2)*c^3 + 13444*a^6*(-b)^(17/2)*c^4 - 58944*a^6*(-b)^(19/2)*c^2 - 120*a^7*(-b)^(15/2)*c^5 + 9664*a^7*(-b)^(17/2)*c^3 - 1923*a^8*(-b)^(15/2)*c^4 - 5248*a^8*(-b)^(17/2)*c^2 - 320*a^9*(-b)^(15/2)*c^3 + 44160*a^2*(-b)^(23/2)*c^3 + 11040*a^3*(-b)^(21/2)*c^4 + 153600*a^3*(-b)^(23/2)*c^2 + 137728*a^4*(-b)^(21/2)*c^3 - 36988*a^5*(-b)^(19/2)*c^4 + 63360*a^5*(-b)^(21/2)*c^2 + 1644*a^6*(-b)^(17/2)*c^5 - 56512*a^6*(-b)^(19/2)*c^3 + 17058*a^7*(-b)^(17/2)*c^4 - 18560*a^7*(-b)^(19/2)*c^2 - 240*a^8*(-b)^(15/2)*c^5 + 128*a^8*(-b)^(17/2)*c^3 - 576*a^9*(-b)^(15/2)*c^4 - 1280*a^9*(-b)^(17/2)*c^2 - 480*a^2*(-b)^(23/2)*c^4 + 76800*a^3*(-b)^(23/2)*c^3 + 60640*a^4*(-b)^(21/2)*c^4 + 115200*a^4*(-b)^(23/2)*c^2 - 6776*a^5*(-b)^(19/2)*c^5 + 193792*a^5*(-b)^(21/2)*c^3 - 59150*a^6*(-b)^(19/2)*c^4 + 33408*a^6*(-b)^(21/2)*c^2 + 4632*a^7*(-b)^(17/2)*c^5 - 16064*a^7*(-b)^(19/2)*c^3 + 9280*a^8*(-b)^(17/2)*c^4 - 2048*a^8*(-b)^(19/2)*c^2 - 120*a^9*(-b)^(15/2)*c^5 - 896*a^9*(-b)^(17/2)*c^3 - 153600*a^2*(-b)^(25/2)*c^3 - 23040*a^3*(-b)^(23/2)*c^4 + 11620*a^4*(-b)^(21/2)*c^5 + 57600*a^4*(-b)^(23/2)*c^3 + 128864*a^5*(-b)^(21/2)*c^4 + 46080*a^5*(-b)^(23/2)*c^2 - 24752*a^6*(-b)^(19/2)*c^5 + 146688*a^6*(-b)^(21/2)*c^3 + 210*a^7*(-b)^(17/2)*c^6 - 43232*a^7*(-b)^(19/2)*c^4 + 6912*a^7*(-b)^(21/2)*c^2 + 4332*a^8*(-b)^(17/2)*c^5 + 3968*a^8*(-b)^(19/2)*c^3 + 1792*a^9*(-b)^(17/2)*c^4 - 90240*a^2*(-b)^(25/2)*c^4 - 7104*a^3*(-b)^(23/2)*c^5 - 204800*a^3*(-b)^(25/2)*c^3 - 100160*a^4*(-b)^(23/2)*c^4 + 53480*a^5*(-b)^(21/2)*c^5 + 9600*a^5*(-b)^(23/2)*c^3 - 2310*a^6*(-b)^(19/2)*c^6 + 131872*a^6*(-b)^(21/2)*c^4 + 7680*a^6*(-b)^(23/2)*c^2 - 33432*a^7*(-b)^(19/2)*c^5 + 56704*a^7*(-b)^(21/2)*c^3 + 420*a^8*(-b)^(17/2)*c^6 - 13216*a^8*(-b)^(19/2)*c^4 + 1344*a^9*(-b)^(17/2)*c^5 + 2304*a^9*(-b)^(19/2)*c^3 - 9216*a^2*(-b)^(25/2)*c^5 - 192000*a^3*(-b)^(25/2)*c^4 - 48224*a^4*(-b)^(23/2)*c^5 - 153600*a^4*(-b)^(25/2)*c^3 + 7546*a^5*(-b)^(21/2)*c^6 - 179840*a^5*(-b)^(23/2)*c^4 + 94948*a^6*(-b)^(21/2)*c^5 - 9600*a^6*(-b)^(23/2)*c^3 - 6636*a^7*(-b)^(19/2)*c^6 + 63232*a^7*(-b)^(21/2)*c^4 - 19712*a^8*(-b)^(19/2)*c^5 + 8704*a^8*(-b)^(21/2)*c^3 + 210*a^9*(-b)^(17/2)*c^6 - 896*a^9*(-b)^(19/2)*c^4 + 115200*a^2*(-b)^(27/2)*c^4 - 31104*a^3*(-b)^(25/2)*c^5 - 8750*a^4*(-b)^(23/2)*c^6 - 211200*a^4*(-b)^(25/2)*c^4 - 121120*a^5*(-b)^(23/2)*c^5 - 61440*a^5*(-b)^(25/2)*c^3 + 28756*a^6*(-b)^(21/2)*c^6 - 161760*a^6*(-b)^(23/2)*c^4 - 252*a^7*(-b)^(19/2)*c^7 + 80416*a^7*(-b)^(21/2)*c^5 - 3840*a^7*(-b)^(23/2)*c^3 - 6342*a^8*(-b)^(19/2)*c^6 + 9344*a^8*(-b)^(21/2)*c^4 - 4256*a^9*(-b)^(19/2)*c^5 + 81792*a^2*(-b)^(27/2)*c^5 - 832*a^3*(-b)^(25/2)*c^6 + 153600*a^3*(-b)^(27/2)*c^4 - 23552*a^4*(-b)^(25/2)*c^5 - 44380*a^5*(-b)^(23/2)*c^6 - 124800*a^5*(-b)^(25/2)*c^4 + 2184*a^6*(-b)^(21/2)*c^7 - 146336*a^6*(-b)^(23/2)*c^5 - 10240*a^6*(-b)^(25/2)*c^3 + 40698*a^7*(-b)^(21/2)*c^6 - 72320*a^7*(-b)^(23/2)*c^4 - 504*a^8*(-b)^(19/2)*c^7 + 31808*a^8*(-b)^(21/2)*c^5 - 2016*a^9*(-b)^(19/2)*c^6 - 1280*a^9*(-b)^(21/2)*c^4 + 10944*a^2*(-b)^(27/2)*c^6 + 184320*a^3*(-b)^(27/2)*c^5 + 8896*a^4*(-b)^(25/2)*c^6 + 115200*a^4*(-b)^(27/2)*c^4 - 5300*a^5*(-b)^(23/2)*c^7 + 32512*a^5*(-b)^(25/2)*c^5 - 86702*a^6*(-b)^(23/2)*c^6 - 36480*a^6*(-b)^(25/2)*c^4 + 6384*a^7*(-b)^(21/2)*c^7 - 87968*a^7*(-b)^(23/2)*c^5 + 25312*a^8*(-b)^(21/2)*c^6 - 12800*a^8*(-b)^(23/2)*c^4 - 252*a^9*(-b)^(19/2)*c^7 + 4480*a^9*(-b)^(21/2)*c^5 - 46080*a^2*(-b)^(29/2)*c^5 + 49536*a^3*(-b)^(27/2)*c^6 + 3016*a^4*(-b)^(25/2)*c^7 + 218880*a^4*(-b)^(27/2)*c^5 + 44864*a^5*(-b)^(25/2)*c^6 + 46080*a^5*(-b)^(27/2)*c^4 - 21128*a^6*(-b)^(23/2)*c^7 + 66048*a^6*(-b)^(25/2)*c^5 + 210*a^7*(-b)^(21/2)*c^8 - 81536*a^7*(-b)^(23/2)*c^6 - 3840*a^7*(-b)^(25/2)*c^4 + 6216*a^8*(-b)^(21/2)*c^7 - 22912*a^8*(-b)^(23/2)*c^5 + 5824*a^9*(-b)^(21/2)*c^6 - 36480*a^2*(-b)^(29/2)*c^6 + 4224*a^3*(-b)^(27/2)*c^7 - 61440*a^3*(-b)^(29/2)*c^5 + 86656*a^4*(-b)^(27/2)*c^6 + 18896*a^5*(-b)^(25/2)*c^7 + 144000*a^5*(-b)^(27/2)*c^5 - 1374*a^6*(-b)^(23/2)*c^8 + 75200*a^6*(-b)^(25/2)*c^6 + 7680*a^6*(-b)^(27/2)*c^4 - 31284*a^7*(-b)^(23/2)*c^7 + 40576*a^7*(-b)^(25/2)*c^5 + 420*a^8*(-b)^(21/2)*c^8 - 36736*a^8*(-b)^(23/2)*c^6 + 2016*a^9*(-b)^(21/2)*c^7 - 1280*a^9*(-b)^(23/2)*c^5 - 5376*a^2*(-b)^(29/2)*c^7 - 84480*a^3*(-b)^(29/2)*c^6 + 13888*a^4*(-b)^(27/2)*c^7 - 46080*a^4*(-b)^(29/2)*c^5 + 2173*a^5*(-b)^(25/2)*c^8 + 70144*a^5*(-b)^(27/2)*c^6 + 42952*a^6*(-b)^(25/2)*c^7 + 49536*a^6*(-b)^(27/2)*c^5 - 4092*a^7*(-b)^(23/2)*c^8 + 57856*a^7*(-b)^(25/2)*c^6 - 20384*a^8*(-b)^(23/2)*c^7 + 8704*a^8*(-b)^(25/2)*c^5 + 210*a^9*(-b)^(21/2)*c^8 - 6272*a^9*(-b)^(23/2)*c^6 + 7680*a^2*(-b)^(31/2)*c^6 - 26496*a^3*(-b)^(29/2)*c^7 + 301*a^4*(-b)^(27/2)*c^8 - 103680*a^4*(-b)^(29/2)*c^6 + 12608*a^5*(-b)^(27/2)*c^7 - 18432*a^5*(-b)^(29/2)*c^5 + 9274*a^6*(-b)^(25/2)*c^8 + 21696*a^6*(-b)^(27/2)*c^6 - 120*a^7*(-b)^(23/2)*c^9 + 45760*a^7*(-b)^(25/2)*c^7 + 6912*a^7*(-b)^(27/2)*c^5 - 4062*a^8*(-b)^(23/2)*c^8 + 20096*a^8*(-b)^(25/2)*c^6 - 4928*a^9*(-b)^(23/2)*c^7 + 6528*a^2*(-b)^(31/2)*c^7 - 2448*a^3*(-b)^(29/2)*c^8 + 10240*a^3*(-b)^(31/2)*c^6 - 52736*a^4*(-b)^(29/2)*c^7 - 1558*a^5*(-b)^(27/2)*c^8 - 71040*a^5*(-b)^(29/2)*c^6 + 546*a^6*(-b)^(25/2)*c^9 - 4544*a^6*(-b)^(27/2)*c^7 - 3072*a^6*(-b)^(29/2)*c^5 + 14589*a^7*(-b)^(25/2)*c^8 - 2432*a^7*(-b)^(27/2)*c^6 - 240*a^8*(-b)^(23/2)*c^9 + 23168*a^8*(-b)^(25/2)*c^7 - 1344*a^9*(-b)^(23/2)*c^8 + 2304*a^9*(-b)^(25/2)*c^6 + 1008*a^2*(-b)^(31/2)*c^8 + 15360*a^3*(-b)^(31/2)*c^7 - 10160*a^4*(-b)^(29/2)*c^8 + 7680*a^4*(-b)^(31/2)*c^6 - 384*a^5*(-b)^(27/2)*c^9 - 53504*a^5*(-b)^(29/2)*c^7 - 8099*a^6*(-b)^(27/2)*c^8 - 25728*a^6*(-b)^(29/2)*c^6 + 1668*a^7*(-b)^(25/2)*c^9 - 13760*a^7*(-b)^(27/2)*c^7 + 10048*a^8*(-b)^(25/2)*c^8 - 2048*a^8*(-b)^(27/2)*c^6 - 120*a^9*(-b)^(23/2)*c^9 + 4480*a^9*(-b)^(25/2)*c^7 + 5184*a^3*(-b)^(31/2)*c^8 - 570*a^4*(-b)^(29/2)*c^9 + 19200*a^4*(-b)^(31/2)*c^7 - 16048*a^5*(-b)^(29/2)*c^8 + 3072*a^5*(-b)^(31/2)*c^6 - 1984*a^6*(-b)^(27/2)*c^9 - 28416*a^6*(-b)^(29/2)*c^7 + 45*a^7*(-b)^(25/2)*c^10 - 11984*a^7*(-b)^(27/2)*c^8 - 3840*a^7*(-b)^(29/2)*c^6 + 1698*a^8*(-b)^(25/2)*c^9 - 7552*a^8*(-b)^(27/2)*c^7 + 2560*a^9*(-b)^(25/2)*c^8 + 480*a^3*(-b)^(31/2)*c^9 + 10912*a^4*(-b)^(31/2)*c^8 - 1732*a^5*(-b)^(29/2)*c^9 + 13440*a^5*(-b)^(31/2)*c^7 - 119*a^6*(-b)^(27/2)*c^10 - 11408*a^6*(-b)^(29/2)*c^8 + 512*a^6*(-b)^(31/2)*c^6 - 3568*a^7*(-b)^(27/2)*c^9 - 7040*a^7*(-b)^(29/2)*c^7 + 90*a^8*(-b)^(25/2)*c^10 - 7408*a^8*(-b)^(27/2)*c^8 + 576*a^9*(-b)^(25/2)*c^9 - 1280*a^9*(-b)^(27/2)*c^7 + 2160*a^4*(-b)^(31/2)*c^9 - 35*a^5*(-b)^(29/2)*c^10 + 11968*a^5*(-b)^(31/2)*c^8 - 1530*a^6*(-b)^(29/2)*c^9 + 4992*a^6*(-b)^(31/2)*c^7 - 382*a^7*(-b)^(27/2)*c^10 - 2816*a^7*(-b)^(29/2)*c^8 - 2720*a^8*(-b)^(27/2)*c^9 - 512*a^8*(-b)^(29/2)*c^7 + 45*a^9*(-b)^(25/2)*c^10 - 1664*a^9*(-b)^(27/2)*c^8 + 129*a^4*(-b)^(31/2)*c^10 + 3856*a^5*(-b)^(31/2)*c^9 + 10*a^6*(-b)^(29/2)*c^10 + 7152*a^6*(-b)^(31/2)*c^8 - 10*a^7*(-b)^(27/2)*c^11 + 112*a^7*(-b)^(29/2)*c^9 + 768*a^7*(-b)^(31/2)*c^7 - 407*a^8*(-b)^(27/2)*c^10 + 512*a^8*(-b)^(29/2)*c^8 - 752*a^9*(-b)^(27/2)*c^9 + 482*a^5*(-b)^(31/2)*c^10 + 8*a^6*(-b)^(29/2)*c^11 + 3408*a^6*(-b)^(31/2)*c^9 + 221*a^7*(-b)^(29/2)*c^10 + 2176*a^7*(-b)^(31/2)*c^8 - 20*a^8*(-b)^(27/2)*c^11 + 736*a^8*(-b)^(29/2)*c^9 - 144*a^9*(-b)^(27/2)*c^10 + 256*a^9*(-b)^(29/2)*c^8 + 18*a^5*(-b)^(31/2)*c^11 + 673*a^6*(-b)^(31/2)*c^10 + 32*a^7*(-b)^(29/2)*c^11 + 1488*a^7*(-b)^(31/2)*c^9 + 272*a^8*(-b)^(29/2)*c^10 + 256*a^8*(-b)^(31/2)*c^8 - 10*a^9*(-b)^(27/2)*c^11 + 256*a^9*(-b)^(29/2)*c^9 + 52*a^6*(-b)^(31/2)*c^11 + a^7*(-b)^(29/2)*c^12 + 416*a^7*(-b)^(31/2)*c^10 + 40*a^8*(-b)^(29/2)*c^11 + 256*a^8*(-b)^(31/2)*c^9 + 96*a^9*(-b)^(29/2)*c^10 + a^6*(-b)^(31/2)*c^12 + 50*a^7*(-b)^(31/2)*c^11 + 2*a^8*(-b)^(29/2)*c^12 + 96*a^8*(-b)^(31/2)*c^10 + 16*a^9*(-b)^(29/2)*c^11 + 2*a^7*(-b)^(31/2)*c^12 + 16*a^8*(-b)^(31/2)*c^11 + a^9*(-b)^(29/2)*c^12 + a^8*(-b)^(31/2)*c^12 - 1152*a*(-b)^(19/2)*c - 18432*a*(-b)^(21/2)*c + 2*a^6*(-b)^(9/2)*c - 24*a^5*(-b)^(11/2)*c + 4*a^7*(-b)^(9/2)*c + 70*a^4*(-b)^(13/2)*c - 48*a^6*(-b)^(11/2)*c + 2*a^8*(-b)^(9/2)*c - 288*a^3*(-b)^(15/2)*c + 60*a^5*(-b)^(13/2)*c - 8*a^7*(-b)^(11/2)*c + 1536*a^2*(-b)^(17/2)*c - 656*a^4*(-b)^(15/2)*c - 378*a^6*(-b)^(13/2)*c + 32*a^8*(-b)^(11/2)*c + 8064*a^3*(-b)^(17/2)*c + 656*a^5*(-b)^(15/2)*c - 784*a^7*(-b)^(13/2)*c + 16*a^9*(-b)^(11/2)*c - 9600*a^2*(-b)^(19/2)*c + 16384*a^4*(-b)^(17/2)*c + 3280*a^6*(-b)^(15/2)*c - 544*a^8*(-b)^(13/2)*c - 30720*a^3*(-b)^(19/2)*c + 15616*a^5*(-b)^(17/2)*c + 3664*a^7*(-b)^(15/2)*c - 128*a^9*(-b)^(13/2)*c - 1152*a*(-b)^(21/2)*c^2 - 46080*a^2*(-b)^(21/2)*c - 49920*a^4*(-b)^(19/2)*c + 6144*a^6*(-b)^(17/2)*c + 1664*a^8*(-b)^(15/2)*c - 61440*a^3*(-b)^(21/2)*c - 44160*a^5*(-b)^(19/2)*c - 128*a^7*(-b)^(17/2)*c + 256*a^9*(-b)^(15/2)*c + 46080*a*(-b)^(23/2)*c^2 - 46080*a^4*(-b)^(21/2)*c - 20352*a^6*(-b)^(19/2)*c - 512*a^8*(-b)^(17/2)*c + 9600*a*(-b)^(23/2)*c^3 - 18432*a^5*(-b)^(21/2)*c - 3840*a^7*(-b)^(19/2)*c - 3072*a^6*(-b)^(21/2)*c - 61440*a*(-b)^(25/2)*c^3 - 17280*a*(-b)^(25/2)*c^4 + 46080*a*(-b)^(27/2)*c^4 + 14976*a*(-b)^(27/2)*c^5 - 18432*a*(-b)^(29/2)*c^5 - 6528*a*(-b)^(29/2)*c^6 + 3072*a*(-b)^(31/2)*c^6 + 1152*a*(-b)^(31/2)*c^7))/((-b)^(1/4)*(a^6*b^17 + 9*a^7*b^17*c + 36*a^8*b^17*c^2 + 84*a^9*b^17*c^3 + 126*a^10*b^17*c^4 + 126*a^11*b^17*c^5 + 84*a^12*b^17*c^6 + 36*a^13*b^17*c^7 + 9*a^14*b^17*c^8 + a^15*b^17*c^9)) + (((64*(36*a^12*(-b)^(25/4) - 4*a^13*(-b)^(21/4) + 48*a^13*(-b)^(25/4) - 60*a^11*(-b)^(29/4) - 240*a^12*(-b)^(29/4) - 192*a^13*(-b)^(29/4) - 180*a^10*(-b)^(33/4) - 240*a^11*(-b)^(33/4) + 192*a^12*(-b)^(33/4) + 240*a^9*(-b)^(37/4) + 256*a^13*(-b)^(33/4) + 1200*a^10*(-b)^(37/4) + 1728*a^11*(-b)^(37/4) + 320*a^8*(-b)^(41/4) + 768*a^12*(-b)^(37/4) + 1152*a^9*(-b)^(41/4) + 1344*a^10*(-b)^(41/4) + 512*a^11*(-b)^(41/4) - 144*a^13*(-b)^(29/4)*c^2 + 912*a^12*(-b)^(33/4)*c^2 + 1344*a^13*(-b)^(33/4)*c^2 + 336*a^13*(-b)^(33/4)*c^3 - 432*a^11*(-b)^(37/4)*c^2 - 4032*a^12*(-b)^(37/4)*c^2 - 1680*a^12*(-b)^(37/4)*c^3 - 4032*a^13*(-b)^(37/4)*c^2 - 4624*a^10*(-b)^(41/4)*c^2 - 2688*a^13*(-b)^(37/4)*c^3 - 9408*a^11*(-b)^(41/4)*c^2 - 504*a^13*(-b)^(37/4)*c^4 - 336*a^11*(-b)^(41/4)*c^3 - 1344*a^12*(-b)^(41/4)*c^2 + 3584*a^9*(-b)^(45/4)*c^2 + 5376*a^12*(-b)^(41/4)*c^3 + 3584*a^13*(-b)^(41/4)*c^2 + 20160*a^10*(-b)^(45/4)*c^2 + 1848*a^12*(-b)^(41/4)*c^4 + 6720*a^13*(-b)^(41/4)*c^3 + 8848*a^10*(-b)^(45/4)*c^3 + 30912*a^11*(-b)^(45/4)*c^2 + 3360*a^13*(-b)^(41/4)*c^4 + 6720*a^8*(-b)^(49/4)*c^2 + 21504*a^11*(-b)^(45/4)*c^3 + 14336*a^12*(-b)^(45/4)*c^2 + 504*a^13*(-b)^(41/4)*c^5 + 24192*a^9*(-b)^(49/4)*c^2 + 1848*a^11*(-b)^(45/4)*c^4 + 9408*a^12*(-b)^(45/4)*c^3 - 4032*a^9*(-b)^(49/4)*c^3 + 28224*a^10*(-b)^(49/4)*c^2 - 3360*a^12*(-b)^(45/4)*c^4 - 3584*a^13*(-b)^(45/4)*c^3 - 26880*a^10*(-b)^(49/4)*c^3 + 10752*a^11*(-b)^(49/4)*c^2 - 1176*a^12*(-b)^(45/4)*c^5 - 6720*a^13*(-b)^(45/4)*c^4 - 10584*a^10*(-b)^(49/4)*c^4 - 44352*a^11*(-b)^(49/4)*c^3 - 2688*a^13*(-b)^(45/4)*c^5 - 11200*a^8*(-b)^(53/4)*c^3 - 30240*a^11*(-b)^(49/4)*c^4 - 21504*a^12*(-b)^(49/4)*c^3 - 336*a^13*(-b)^(45/4)*c^6 - 40320*a^9*(-b)^(53/4)*c^3 - 2520*a^11*(-b)^(49/4)*c^5 - 20160*a^12*(-b)^(49/4)*c^4 + 1120*a^9*(-b)^(53/4)*c^4 - 47040*a^10*(-b)^(53/4)*c^3 + 16800*a^10*(-b)^(53/4)*c^4 - 17920*a^11*(-b)^(53/4)*c^3 + 336*a^12*(-b)^(49/4)*c^6 + 4032*a^13*(-b)^(49/4)*c^5 + 8120*a^10*(-b)^(53/4)*c^5 + 33600*a^11*(-b)^(53/4)*c^4 + 1344*a^13*(-b)^(49/4)*c^6 + 11200*a^8*(-b)^(57/4)*c^4 + 26880*a^11*(-b)^(53/4)*c^5 + 17920*a^12*(-b)^(53/4)*c^4 + 144*a^13*(-b)^(49/4)*c^7 + 40320*a^9*(-b)^(57/4)*c^4 + 1680*a^11*(-b)^(53/4)*c^6 + 22848*a^12*(-b)^(53/4)*c^5 + 2240*a^9*(-b)^(57/4)*c^5 + 47040*a^10*(-b)^(57/4)*c^4 + 1344*a^12*(-b)^(53/4)*c^6 + 3584*a^13*(-b)^(53/4)*c^5 + 17920*a^11*(-b)^(57/4)*c^4 + 48*a^12*(-b)^(53/4)*c^7 - 1344*a^13*(-b)^(53/4)*c^6 - 3920*a^10*(-b)^(57/4)*c^6 - 9408*a^11*(-b)^(57/4)*c^5 - 384*a^13*(-b)^(53/4)*c^7 - 6720*a^8*(-b)^(61/4)*c^5 - 14784*a^11*(-b)^(57/4)*c^6 - 7168*a^12*(-b)^(57/4)*c^5 - 36*a^13*(-b)^(53/4)*c^8 - 24192*a^9*(-b)^(61/4)*c^5 - 528*a^11*(-b)^(57/4)*c^7 - 14784*a^12*(-b)^(57/4)*c^6 - 2688*a^9*(-b)^(61/4)*c^6 - 28224*a^10*(-b)^(61/4)*c^5 - 768*a^12*(-b)^(57/4)*c^7 - 3584*a^13*(-b)^(57/4)*c^6 - 6720*a^10*(-b)^(61/4)*c^6 - 10752*a^11*(-b)^(61/4)*c^5 - 60*a^12*(-b)^(57/4)*c^8 + 192*a^13*(-b)^(57/4)*c^7 + 1104*a^10*(-b)^(61/4)*c^7 - 4032*a^11*(-b)^(61/4)*c^6 + 48*a^13*(-b)^(57/4)*c^8 + 2240*a^8*(-b)^(65/4)*c^6 + 4608*a^11*(-b)^(61/4)*c^7 + 4*a^13*(-b)^(57/4)*c^9 + 8064*a^9*(-b)^(65/4)*c^6 + 36*a^11*(-b)^(61/4)*c^8 + 5184*a^12*(-b)^(61/4)*c^7 + 1216*a^9*(-b)^(65/4)*c^7 + 9408*a^10*(-b)^(65/4)*c^6 + 144*a^12*(-b)^(61/4)*c^8 + 1536*a^13*(-b)^(61/4)*c^7 + 3840*a^10*(-b)^(65/4)*c^7 + 3584*a^11*(-b)^(65/4)*c^6 + 12*a^12*(-b)^(61/4)*c^9 - 148*a^10*(-b)^(65/4)*c^8 + 3648*a^11*(-b)^(65/4)*c^7 - 320*a^8*(-b)^(69/4)*c^7 - 624*a^11*(-b)^(65/4)*c^8 + 1024*a^12*(-b)^(65/4)*c^7 - 1152*a^9*(-b)^(69/4)*c^7 + 12*a^11*(-b)^(65/4)*c^9 - 768*a^12*(-b)^(65/4)*c^8 - 208*a^9*(-b)^(69/4)*c^8 - 1344*a^10*(-b)^(69/4)*c^7 - 256*a^13*(-b)^(65/4)*c^8 - 720*a^10*(-b)^(69/4)*c^8 - 512*a^11*(-b)^(69/4)*c^7 + 4*a^10*(-b)^(69/4)*c^9 - 768*a^11*(-b)^(69/4)*c^8 - 256*a^12*(-b)^(69/4)*c^8 + 36*a^13*(-b)^(25/4)*c - 276*a^12*(-b)^(29/4)*c - 384*a^13*(-b)^(29/4)*c + 300*a^11*(-b)^(33/4)*c + 1536*a^12*(-b)^(33/4)*c + 1344*a^13*(-b)^(33/4)*c + 1380*a^10*(-b)^(37/4)*c + 2304*a^11*(-b)^(37/4)*c - 576*a^12*(-b)^(37/4)*c - 1472*a^9*(-b)^(41/4)*c - 1536*a^13*(-b)^(37/4)*c - 7680*a^10*(-b)^(41/4)*c - 11328*a^11*(-b)^(41/4)*c - 2240*a^8*(-b)^(45/4)*c - 5120*a^12*(-b)^(41/4)*c - 8064*a^9*(-b)^(45/4)*c - 9408*a^10*(-b)^(45/4)*c - 3584*a^11*(-b)^(45/4)*c))/(a^7*b^18 + 9*a^8*b^18*c + 36*a^9*b^18*c^2 + 84*a^10*b^18*c^3 + 126*a^11*b^18*c^4 + 126*a^12*b^18*c^5 + 84*a^13*b^18*c^6 + 36*a^14*b^18*c^7 + 9*a^15*b^18*c^8 + a^16*b^18*c^9) - (64*(-(b*x - 1)/(c + x))^(1/4)*(b*((-b)^(3/4) + a*((-b)^(3/4) + ((-b)^(3/4)*c)/4)) + (a*(-b)^(3/4))/4)*(16*a^13*(-b)^(11/2) - 80*a^12*(-b)^(13/2) - 80*a^11*(-b)^(15/2) - 128*a^13*(-b)^(13/2) + 400*a^10*(-b)^(17/2) + 128*a^12*(-b)^(15/2) + 896*a^9*(-b)^(19/2) + 1152*a^11*(-b)^(17/2) + 256*a^13*(-b)^(15/2) + 512*a^8*(-b)^(21/2) + 1920*a^10*(-b)^(19/2) + 768*a^12*(-b)^(17/2) + 1024*a^9*(-b)^(21/2) + 1024*a^11*(-b)^(19/2) + 512*a^10*(-b)^(21/2) + 448*a^13*(-b)^(15/2)*c^2 - 1344*a^12*(-b)^(17/2)*c^2 - 2624*a^11*(-b)^(19/2)*c^2 - 2688*a^13*(-b)^(17/2)*c^2 + 1088*a^10*(-b)^(21/2)*c^2 + 128*a^12*(-b)^(19/2)*c^2 - 896*a^13*(-b)^(17/2)*c^3 + 9600*a^9*(-b)^(23/2)*c^2 + 9344*a^11*(-b)^(21/2)*c^2 + 1792*a^12*(-b)^(19/2)*c^3 + 4096*a^13*(-b)^(19/2)*c^2 + 7680*a^8*(-b)^(25/2)*c^2 + 21888*a^10*(-b)^(23/2)*c^2 + 4096*a^11*(-b)^(21/2)*c^3 + 8704*a^12*(-b)^(21/2)*c^2 + 4480*a^13*(-b)^(19/2)*c^3 + 15360*a^9*(-b)^(25/2)*c^2 + 3328*a^10*(-b)^(23/2)*c^3 + 12288*a^11*(-b)^(23/2)*c^2 + 128*a^12*(-b)^(21/2)*c^3 + 1120*a^13*(-b)^(19/2)*c^4 - 8320*a^9*(-b)^(25/2)*c^3 + 7680*a^10*(-b)^(25/2)*c^2 - 4992*a^11*(-b)^(23/2)*c^3 - 1120*a^12*(-b)^(21/2)*c^4 - 6656*a^13*(-b)^(21/2)*c^3 - 10240*a^8*(-b)^(27/2)*c^3 - 21120*a^10*(-b)^(25/2)*c^3 - 2400*a^11*(-b)^(23/2)*c^4 - 9216*a^12*(-b)^(23/2)*c^3 - 4480*a^13*(-b)^(21/2)*c^4 - 20480*a^9*(-b)^(27/2)*c^3 - 7200*a^10*(-b)^(25/2)*c^4 - 12800*a^11*(-b)^(25/2)*c^3 + 1920*a^12*(-b)^(23/2)*c^4 - 896*a^13*(-b)^(21/2)*c^5 + 640*a^9*(-b)^(27/2)*c^4 - 10240*a^10*(-b)^(27/2)*c^3 - 3200*a^11*(-b)^(25/2)*c^4 + 7680*a^13*(-b)^(23/2)*c^4 + 7680*a^8*(-b)^(29/2)*c^4 + 5760*a^10*(-b)^(27/2)*c^4 - 1280*a^11*(-b)^(25/2)*c^5 + 5120*a^12*(-b)^(25/2)*c^4 + 2688*a^13*(-b)^(23/2)*c^5 + 15360*a^9*(-b)^(29/2)*c^4 + 5120*a^10*(-b)^(27/2)*c^5 + 5120*a^11*(-b)^(27/2)*c^4 - 5248*a^12*(-b)^(25/2)*c^5 + 448*a^13*(-b)^(23/2)*c^6 + 4224*a^9*(-b)^(29/2)*c^5 + 7680*a^10*(-b)^(29/2)*c^4 + 3968*a^11*(-b)^(27/2)*c^5 + 448*a^12*(-b)^(25/2)*c^6 - 6656*a^13*(-b)^(25/2)*c^5 - 3072*a^8*(-b)^(31/2)*c^5 + 5760*a^10*(-b)^(29/2)*c^5 + 2752*a^11*(-b)^(27/2)*c^6 - 2048*a^12*(-b)^(27/2)*c^5 - 896*a^13*(-b)^(25/2)*c^6 - 6144*a^9*(-b)^(31/2)*c^5 - 704*a^10*(-b)^(29/2)*c^6 + 1536*a^11*(-b)^(29/2)*c^5 + 5504*a^12*(-b)^(27/2)*c^6 - 128*a^13*(-b)^(25/2)*c^7 - 2944*a^9*(-b)^(31/2)*c^6 - 3072*a^10*(-b)^(31/2)*c^5 + 384*a^11*(-b)^(29/2)*c^6 - 256*a^12*(-b)^(27/2)*c^7 + 4096*a^13*(-b)^(27/2)*c^6 + 512*a^8*(-b)^(33/2)*c^6 - 4992*a^10*(-b)^(31/2)*c^6 - 1536*a^11*(-b)^(29/2)*c^7 + 1536*a^12*(-b)^(29/2)*c^6 + 128*a^13*(-b)^(27/2)*c^7 + 1024*a^9*(-b)^(33/2)*c^6 - 768*a^10*(-b)^(31/2)*c^7 - 2048*a^11*(-b)^(31/2)*c^6 - 2688*a^12*(-b)^(29/2)*c^7 + 16*a^13*(-b)^(27/2)*c^8 + 640*a^9*(-b)^(33/2)*c^7 + 512*a^10*(-b)^(33/2)*c^6 - 1664*a^11*(-b)^(31/2)*c^7 + 48*a^12*(-b)^(29/2)*c^8 - 1536*a^13*(-b)^(29/2)*c^7 + 1152*a^10*(-b)^(33/2)*c^7 + 304*a^11*(-b)^(31/2)*c^8 - 1024*a^12*(-b)^(31/2)*c^7 + 272*a^10*(-b)^(33/2)*c^8 + 512*a^11*(-b)^(33/2)*c^7 + 512*a^12*(-b)^(31/2)*c^8 + 512*a^11*(-b)^(33/2)*c^8 + 256*a^13*(-b)^(31/2)*c^8 + 256*a^12*(-b)^(33/2)*c^8 - 128*a^13*(-b)^(13/2)*c + 512*a^12*(-b)^(15/2)*c + 768*a^11*(-b)^(17/2)*c + 896*a^13*(-b)^(15/2)*c - 1536*a^10*(-b)^(19/2)*c - 384*a^12*(-b)^(17/2)*c - 4736*a^9*(-b)^(21/2)*c - 5504*a^11*(-b)^(19/2)*c - 1536*a^13*(-b)^(17/2)*c - 3072*a^8*(-b)^(23/2)*c - 10368*a^10*(-b)^(21/2)*c - 4096*a^12*(-b)^(19/2)*c - 6144*a^9*(-b)^(23/2)*c - 5632*a^11*(-b)^(21/2)*c - 3072*a^10*(-b)^(23/2)*c))/(a^2*(-b)^(9/4)*(a^6*b^17 + 9*a^7*b^17*c + 36*a^8*b^17*c^2 + 84*a^9*b^17*c^3 + 126*a^10*b^17*c^4 + 126*a^11*b^17*c^5 + 84*a^12*b^17*c^6 + 36*a^13*b^17*c^7 + 9*a^14*b^17*c^8 + a^15*b^17*c^9)))*(b*((-b)^(3/4) + a*((-b)^(3/4) + ((-b)^(3/4)*c)/4)) + (a*(-b)^(3/4))/4)^3)/(a^6*b^6))*1i)/(a^2*b^2) + ((b*((-b)^(3/4) + a*((-b)^(3/4) + ((-b)^(3/4)*c)/4)) + (a*(-b)^(3/4))/4)*((64*(-(b*x - 1)/(c + x))^(1/4)*(512*(-b)^(19/2) + a^5*(-b)^(9/2) + a^4*(-b)^(11/2) + 2*a^6*(-b)^(9/2) - 16*a^3*(-b)^(13/2) + 18*a^5*(-b)^(11/2) + a^7*(-b)^(9/2) - 144*a^2*(-b)^(15/2) - 176*a^4*(-b)^(13/2) + 49*a^6*(-b)^(11/2) - 576*a^3*(-b)^(15/2) - 560*a^5*(-b)^(13/2) + 48*a^7*(-b)^(11/2) + 2688*a^2*(-b)^(17/2) - 608*a^4*(-b)^(15/2) - 784*a^6*(-b)^(13/2) + 16*a^8*(-b)^(11/2) + 7680*a^3*(-b)^(17/2) + 448*a^5*(-b)^(15/2) - 512*a^7*(-b)^(13/2) + 7680*a^2*(-b)^(19/2) + 11520*a^4*(-b)^(17/2) + 1392*a^6*(-b)^(15/2) - 128*a^8*(-b)^(13/2) + 10240*a^3*(-b)^(19/2) + 9600*a^5*(-b)^(17/2) + 1024*a^7*(-b)^(15/2) + 7680*a^4*(-b)^(19/2) + 4224*a^6*(-b)^(17/2) + 256*a^8*(-b)^(15/2) + 3072*a^5*(-b)^(19/2) + 768*a^7*(-b)^(17/2) + 512*a^6*(-b)^(19/2) + 7680*(-b)^(23/2)*c^2 - 10240*(-b)^(25/2)*c^3 + 7680*(-b)^(27/2)*c^4 - 3072*(-b)^(29/2)*c^5 + 512*(-b)^(31/2)*c^6 + 384*a*(-b)^(17/2) + 3072*a*(-b)^(19/2) - 3072*(-b)^(21/2)*c + a^7*(-b)^(9/2)*c^2 - 35*a^6*(-b)^(11/2)*c^2 + 2*a^8*(-b)^(9/2)*c^2 + 265*a^5*(-b)^(13/2)*c^2 - 86*a^7*(-b)^(11/2)*c^2 + a^9*(-b)^(9/2)*c^2 - 851*a^4*(-b)^(15/2)*c^2 + 738*a^6*(-b)^(13/2)*c^2 - 10*a^7*(-b)^(11/2)*c^3 - 67*a^8*(-b)^(11/2)*c^2 + 2496*a^3*(-b)^(17/2)*c^2 - 2566*a^5*(-b)^(15/2)*c^2 + 224*a^6*(-b)^(13/2)*c^3 + 649*a^7*(-b)^(13/2)*c^2 - 20*a^8*(-b)^(11/2)*c^3 - 16*a^9*(-b)^(11/2)*c^2 - 5184*a^2*(-b)^(19/2)*c^2 + 10432*a^4*(-b)^(17/2)*c^2 - 1358*a^5*(-b)^(15/2)*c^3 - 1907*a^6*(-b)^(15/2)*c^2 + 592*a^7*(-b)^(13/2)*c^3 + 144*a^8*(-b)^(13/2)*c^2 - 10*a^9*(-b)^(11/2)*c^3 - 31104*a^3*(-b)^(19/2)*c^2 + 3784*a^4*(-b)^(17/2)*c^3 + 14912*a^5*(-b)^(17/2)*c^2 - 4364*a^6*(-b)^(15/2)*c^3 + 45*a^7*(-b)^(13/2)*c^4 + 1120*a^7*(-b)^(15/2)*c^2 + 512*a^8*(-b)^(13/2)*c^3 - 32*a^9*(-b)^(13/2)*c^2 + 1152*a^2*(-b)^(21/2)*c^2 - 7552*a^3*(-b)^(19/2)*c^3 - 74624*a^4*(-b)^(19/2)*c^2 + 14288*a^5*(-b)^(17/2)*c^3 - 771*a^6*(-b)^(15/2)*c^4 + 5824*a^6*(-b)^(17/2)*c^2 - 4974*a^7*(-b)^(15/2)*c^3 + 90*a^8*(-b)^(13/2)*c^4 + 1952*a^8*(-b)^(15/2)*c^2 + 144*a^9*(-b)^(13/2)*c^3 + 6912*a^2*(-b)^(21/2)*c^3 + 23040*a^3*(-b)^(21/2)*c^2 - 36800*a^4*(-b)^(19/2)*c^3 + 3874*a^5*(-b)^(17/2)*c^4 - 91136*a^5*(-b)^(19/2)*c^2 + 19144*a^6*(-b)^(17/2)*c^3 - 2118*a^7*(-b)^(15/2)*c^4 - 5120*a^7*(-b)^(17/2)*c^2 - 2288*a^8*(-b)^(15/2)*c^3 + 45*a^9*(-b)^(13/2)*c^4 + 640*a^9*(-b)^(15/2)*c^2 + 115200*a^2*(-b)^(23/2)*c^2 + 49536*a^3*(-b)^(21/2)*c^3 - 8750*a^4*(-b)^(19/2)*c^4 + 57600*a^4*(-b)^(21/2)*c^2 - 68032*a^5*(-b)^(19/2)*c^3 + 13444*a^6*(-b)^(17/2)*c^4 - 58944*a^6*(-b)^(19/2)*c^2 - 120*a^7*(-b)^(15/2)*c^5 + 9664*a^7*(-b)^(17/2)*c^3 - 1923*a^8*(-b)^(15/2)*c^4 - 5248*a^8*(-b)^(17/2)*c^2 - 320*a^9*(-b)^(15/2)*c^3 + 44160*a^2*(-b)^(23/2)*c^3 + 11040*a^3*(-b)^(21/2)*c^4 + 153600*a^3*(-b)^(23/2)*c^2 + 137728*a^4*(-b)^(21/2)*c^3 - 36988*a^5*(-b)^(19/2)*c^4 + 63360*a^5*(-b)^(21/2)*c^2 + 1644*a^6*(-b)^(17/2)*c^5 - 56512*a^6*(-b)^(19/2)*c^3 + 17058*a^7*(-b)^(17/2)*c^4 - 18560*a^7*(-b)^(19/2)*c^2 - 240*a^8*(-b)^(15/2)*c^5 + 128*a^8*(-b)^(17/2)*c^3 - 576*a^9*(-b)^(15/2)*c^4 - 1280*a^9*(-b)^(17/2)*c^2 - 480*a^2*(-b)^(23/2)*c^4 + 76800*a^3*(-b)^(23/2)*c^3 + 60640*a^4*(-b)^(21/2)*c^4 + 115200*a^4*(-b)^(23/2)*c^2 - 6776*a^5*(-b)^(19/2)*c^5 + 193792*a^5*(-b)^(21/2)*c^3 - 59150*a^6*(-b)^(19/2)*c^4 + 33408*a^6*(-b)^(21/2)*c^2 + 4632*a^7*(-b)^(17/2)*c^5 - 16064*a^7*(-b)^(19/2)*c^3 + 9280*a^8*(-b)^(17/2)*c^4 - 2048*a^8*(-b)^(19/2)*c^2 - 120*a^9*(-b)^(15/2)*c^5 - 896*a^9*(-b)^(17/2)*c^3 - 153600*a^2*(-b)^(25/2)*c^3 - 23040*a^3*(-b)^(23/2)*c^4 + 11620*a^4*(-b)^(21/2)*c^5 + 57600*a^4*(-b)^(23/2)*c^3 + 128864*a^5*(-b)^(21/2)*c^4 + 46080*a^5*(-b)^(23/2)*c^2 - 24752*a^6*(-b)^(19/2)*c^5 + 146688*a^6*(-b)^(21/2)*c^3 + 210*a^7*(-b)^(17/2)*c^6 - 43232*a^7*(-b)^(19/2)*c^4 + 6912*a^7*(-b)^(21/2)*c^2 + 4332*a^8*(-b)^(17/2)*c^5 + 3968*a^8*(-b)^(19/2)*c^3 + 1792*a^9*(-b)^(17/2)*c^4 - 90240*a^2*(-b)^(25/2)*c^4 - 7104*a^3*(-b)^(23/2)*c^5 - 204800*a^3*(-b)^(25/2)*c^3 - 100160*a^4*(-b)^(23/2)*c^4 + 53480*a^5*(-b)^(21/2)*c^5 + 9600*a^5*(-b)^(23/2)*c^3 - 2310*a^6*(-b)^(19/2)*c^6 + 131872*a^6*(-b)^(21/2)*c^4 + 7680*a^6*(-b)^(23/2)*c^2 - 33432*a^7*(-b)^(19/2)*c^5 + 56704*a^7*(-b)^(21/2)*c^3 + 420*a^8*(-b)^(17/2)*c^6 - 13216*a^8*(-b)^(19/2)*c^4 + 1344*a^9*(-b)^(17/2)*c^5 + 2304*a^9*(-b)^(19/2)*c^3 - 9216*a^2*(-b)^(25/2)*c^5 - 192000*a^3*(-b)^(25/2)*c^4 - 48224*a^4*(-b)^(23/2)*c^5 - 153600*a^4*(-b)^(25/2)*c^3 + 7546*a^5*(-b)^(21/2)*c^6 - 179840*a^5*(-b)^(23/2)*c^4 + 94948*a^6*(-b)^(21/2)*c^5 - 9600*a^6*(-b)^(23/2)*c^3 - 6636*a^7*(-b)^(19/2)*c^6 + 63232*a^7*(-b)^(21/2)*c^4 - 19712*a^8*(-b)^(19/2)*c^5 + 8704*a^8*(-b)^(21/2)*c^3 + 210*a^9*(-b)^(17/2)*c^6 - 896*a^9*(-b)^(19/2)*c^4 + 115200*a^2*(-b)^(27/2)*c^4 - 31104*a^3*(-b)^(25/2)*c^5 - 8750*a^4*(-b)^(23/2)*c^6 - 211200*a^4*(-b)^(25/2)*c^4 - 121120*a^5*(-b)^(23/2)*c^5 - 61440*a^5*(-b)^(25/2)*c^3 + 28756*a^6*(-b)^(21/2)*c^6 - 161760*a^6*(-b)^(23/2)*c^4 - 252*a^7*(-b)^(19/2)*c^7 + 80416*a^7*(-b)^(21/2)*c^5 - 3840*a^7*(-b)^(23/2)*c^3 - 6342*a^8*(-b)^(19/2)*c^6 + 9344*a^8*(-b)^(21/2)*c^4 - 4256*a^9*(-b)^(19/2)*c^5 + 81792*a^2*(-b)^(27/2)*c^5 - 832*a^3*(-b)^(25/2)*c^6 + 153600*a^3*(-b)^(27/2)*c^4 - 23552*a^4*(-b)^(25/2)*c^5 - 44380*a^5*(-b)^(23/2)*c^6 - 124800*a^5*(-b)^(25/2)*c^4 + 2184*a^6*(-b)^(21/2)*c^7 - 146336*a^6*(-b)^(23/2)*c^5 - 10240*a^6*(-b)^(25/2)*c^3 + 40698*a^7*(-b)^(21/2)*c^6 - 72320*a^7*(-b)^(23/2)*c^4 - 504*a^8*(-b)^(19/2)*c^7 + 31808*a^8*(-b)^(21/2)*c^5 - 2016*a^9*(-b)^(19/2)*c^6 - 1280*a^9*(-b)^(21/2)*c^4 + 10944*a^2*(-b)^(27/2)*c^6 + 184320*a^3*(-b)^(27/2)*c^5 + 8896*a^4*(-b)^(25/2)*c^6 + 115200*a^4*(-b)^(27/2)*c^4 - 5300*a^5*(-b)^(23/2)*c^7 + 32512*a^5*(-b)^(25/2)*c^5 - 86702*a^6*(-b)^(23/2)*c^6 - 36480*a^6*(-b)^(25/2)*c^4 + 6384*a^7*(-b)^(21/2)*c^7 - 87968*a^7*(-b)^(23/2)*c^5 + 25312*a^8*(-b)^(21/2)*c^6 - 12800*a^8*(-b)^(23/2)*c^4 - 252*a^9*(-b)^(19/2)*c^7 + 4480*a^9*(-b)^(21/2)*c^5 - 46080*a^2*(-b)^(29/2)*c^5 + 49536*a^3*(-b)^(27/2)*c^6 + 3016*a^4*(-b)^(25/2)*c^7 + 218880*a^4*(-b)^(27/2)*c^5 + 44864*a^5*(-b)^(25/2)*c^6 + 46080*a^5*(-b)^(27/2)*c^4 - 21128*a^6*(-b)^(23/2)*c^7 + 66048*a^6*(-b)^(25/2)*c^5 + 210*a^7*(-b)^(21/2)*c^8 - 81536*a^7*(-b)^(23/2)*c^6 - 3840*a^7*(-b)^(25/2)*c^4 + 6216*a^8*(-b)^(21/2)*c^7 - 22912*a^8*(-b)^(23/2)*c^5 + 5824*a^9*(-b)^(21/2)*c^6 - 36480*a^2*(-b)^(29/2)*c^6 + 4224*a^3*(-b)^(27/2)*c^7 - 61440*a^3*(-b)^(29/2)*c^5 + 86656*a^4*(-b)^(27/2)*c^6 + 18896*a^5*(-b)^(25/2)*c^7 + 144000*a^5*(-b)^(27/2)*c^5 - 1374*a^6*(-b)^(23/2)*c^8 + 75200*a^6*(-b)^(25/2)*c^6 + 7680*a^6*(-b)^(27/2)*c^4 - 31284*a^7*(-b)^(23/2)*c^7 + 40576*a^7*(-b)^(25/2)*c^5 + 420*a^8*(-b)^(21/2)*c^8 - 36736*a^8*(-b)^(23/2)*c^6 + 2016*a^9*(-b)^(21/2)*c^7 - 1280*a^9*(-b)^(23/2)*c^5 - 5376*a^2*(-b)^(29/2)*c^7 - 84480*a^3*(-b)^(29/2)*c^6 + 13888*a^4*(-b)^(27/2)*c^7 - 46080*a^4*(-b)^(29/2)*c^5 + 2173*a^5*(-b)^(25/2)*c^8 + 70144*a^5*(-b)^(27/2)*c^6 + 42952*a^6*(-b)^(25/2)*c^7 + 49536*a^6*(-b)^(27/2)*c^5 - 4092*a^7*(-b)^(23/2)*c^8 + 57856*a^7*(-b)^(25/2)*c^6 - 20384*a^8*(-b)^(23/2)*c^7 + 8704*a^8*(-b)^(25/2)*c^5 + 210*a^9*(-b)^(21/2)*c^8 - 6272*a^9*(-b)^(23/2)*c^6 + 7680*a^2*(-b)^(31/2)*c^6 - 26496*a^3*(-b)^(29/2)*c^7 + 301*a^4*(-b)^(27/2)*c^8 - 103680*a^4*(-b)^(29/2)*c^6 + 12608*a^5*(-b)^(27/2)*c^7 - 18432*a^5*(-b)^(29/2)*c^5 + 9274*a^6*(-b)^(25/2)*c^8 + 21696*a^6*(-b)^(27/2)*c^6 - 120*a^7*(-b)^(23/2)*c^9 + 45760*a^7*(-b)^(25/2)*c^7 + 6912*a^7*(-b)^(27/2)*c^5 - 4062*a^8*(-b)^(23/2)*c^8 + 20096*a^8*(-b)^(25/2)*c^6 - 4928*a^9*(-b)^(23/2)*c^7 + 6528*a^2*(-b)^(31/2)*c^7 - 2448*a^3*(-b)^(29/2)*c^8 + 10240*a^3*(-b)^(31/2)*c^6 - 52736*a^4*(-b)^(29/2)*c^7 - 1558*a^5*(-b)^(27/2)*c^8 - 71040*a^5*(-b)^(29/2)*c^6 + 546*a^6*(-b)^(25/2)*c^9 - 4544*a^6*(-b)^(27/2)*c^7 - 3072*a^6*(-b)^(29/2)*c^5 + 14589*a^7*(-b)^(25/2)*c^8 - 2432*a^7*(-b)^(27/2)*c^6 - 240*a^8*(-b)^(23/2)*c^9 + 23168*a^8*(-b)^(25/2)*c^7 - 1344*a^9*(-b)^(23/2)*c^8 + 2304*a^9*(-b)^(25/2)*c^6 + 1008*a^2*(-b)^(31/2)*c^8 + 15360*a^3*(-b)^(31/2)*c^7 - 10160*a^4*(-b)^(29/2)*c^8 + 7680*a^4*(-b)^(31/2)*c^6 - 384*a^5*(-b)^(27/2)*c^9 - 53504*a^5*(-b)^(29/2)*c^7 - 8099*a^6*(-b)^(27/2)*c^8 - 25728*a^6*(-b)^(29/2)*c^6 + 1668*a^7*(-b)^(25/2)*c^9 - 13760*a^7*(-b)^(27/2)*c^7 + 10048*a^8*(-b)^(25/2)*c^8 - 2048*a^8*(-b)^(27/2)*c^6 - 120*a^9*(-b)^(23/2)*c^9 + 4480*a^9*(-b)^(25/2)*c^7 + 5184*a^3*(-b)^(31/2)*c^8 - 570*a^4*(-b)^(29/2)*c^9 + 19200*a^4*(-b)^(31/2)*c^7 - 16048*a^5*(-b)^(29/2)*c^8 + 3072*a^5*(-b)^(31/2)*c^6 - 1984*a^6*(-b)^(27/2)*c^9 - 28416*a^6*(-b)^(29/2)*c^7 + 45*a^7*(-b)^(25/2)*c^10 - 11984*a^7*(-b)^(27/2)*c^8 - 3840*a^7*(-b)^(29/2)*c^6 + 1698*a^8*(-b)^(25/2)*c^9 - 7552*a^8*(-b)^(27/2)*c^7 + 2560*a^9*(-b)^(25/2)*c^8 + 480*a^3*(-b)^(31/2)*c^9 + 10912*a^4*(-b)^(31/2)*c^8 - 1732*a^5*(-b)^(29/2)*c^9 + 13440*a^5*(-b)^(31/2)*c^7 - 119*a^6*(-b)^(27/2)*c^10 - 11408*a^6*(-b)^(29/2)*c^8 + 512*a^6*(-b)^(31/2)*c^6 - 3568*a^7*(-b)^(27/2)*c^9 - 7040*a^7*(-b)^(29/2)*c^7 + 90*a^8*(-b)^(25/2)*c^10 - 7408*a^8*(-b)^(27/2)*c^8 + 576*a^9*(-b)^(25/2)*c^9 - 1280*a^9*(-b)^(27/2)*c^7 + 2160*a^4*(-b)^(31/2)*c^9 - 35*a^5*(-b)^(29/2)*c^10 + 11968*a^5*(-b)^(31/2)*c^8 - 1530*a^6*(-b)^(29/2)*c^9 + 4992*a^6*(-b)^(31/2)*c^7 - 382*a^7*(-b)^(27/2)*c^10 - 2816*a^7*(-b)^(29/2)*c^8 - 2720*a^8*(-b)^(27/2)*c^9 - 512*a^8*(-b)^(29/2)*c^7 + 45*a^9*(-b)^(25/2)*c^10 - 1664*a^9*(-b)^(27/2)*c^8 + 129*a^4*(-b)^(31/2)*c^10 + 3856*a^5*(-b)^(31/2)*c^9 + 10*a^6*(-b)^(29/2)*c^10 + 7152*a^6*(-b)^(31/2)*c^8 - 10*a^7*(-b)^(27/2)*c^11 + 112*a^7*(-b)^(29/2)*c^9 + 768*a^7*(-b)^(31/2)*c^7 - 407*a^8*(-b)^(27/2)*c^10 + 512*a^8*(-b)^(29/2)*c^8 - 752*a^9*(-b)^(27/2)*c^9 + 482*a^5*(-b)^(31/2)*c^10 + 8*a^6*(-b)^(29/2)*c^11 + 3408*a^6*(-b)^(31/2)*c^9 + 221*a^7*(-b)^(29/2)*c^10 + 2176*a^7*(-b)^(31/2)*c^8 - 20*a^8*(-b)^(27/2)*c^11 + 736*a^8*(-b)^(29/2)*c^9 - 144*a^9*(-b)^(27/2)*c^10 + 256*a^9*(-b)^(29/2)*c^8 + 18*a^5*(-b)^(31/2)*c^11 + 673*a^6*(-b)^(31/2)*c^10 + 32*a^7*(-b)^(29/2)*c^11 + 1488*a^7*(-b)^(31/2)*c^9 + 272*a^8*(-b)^(29/2)*c^10 + 256*a^8*(-b)^(31/2)*c^8 - 10*a^9*(-b)^(27/2)*c^11 + 256*a^9*(-b)^(29/2)*c^9 + 52*a^6*(-b)^(31/2)*c^11 + a^7*(-b)^(29/2)*c^12 + 416*a^7*(-b)^(31/2)*c^10 + 40*a^8*(-b)^(29/2)*c^11 + 256*a^8*(-b)^(31/2)*c^9 + 96*a^9*(-b)^(29/2)*c^10 + a^6*(-b)^(31/2)*c^12 + 50*a^7*(-b)^(31/2)*c^11 + 2*a^8*(-b)^(29/2)*c^12 + 96*a^8*(-b)^(31/2)*c^10 + 16*a^9*(-b)^(29/2)*c^11 + 2*a^7*(-b)^(31/2)*c^12 + 16*a^8*(-b)^(31/2)*c^11 + a^9*(-b)^(29/2)*c^12 + a^8*(-b)^(31/2)*c^12 - 1152*a*(-b)^(19/2)*c - 18432*a*(-b)^(21/2)*c + 2*a^6*(-b)^(9/2)*c - 24*a^5*(-b)^(11/2)*c + 4*a^7*(-b)^(9/2)*c + 70*a^4*(-b)^(13/2)*c - 48*a^6*(-b)^(11/2)*c + 2*a^8*(-b)^(9/2)*c - 288*a^3*(-b)^(15/2)*c + 60*a^5*(-b)^(13/2)*c - 8*a^7*(-b)^(11/2)*c + 1536*a^2*(-b)^(17/2)*c - 656*a^4*(-b)^(15/2)*c - 378*a^6*(-b)^(13/2)*c + 32*a^8*(-b)^(11/2)*c + 8064*a^3*(-b)^(17/2)*c + 656*a^5*(-b)^(15/2)*c - 784*a^7*(-b)^(13/2)*c + 16*a^9*(-b)^(11/2)*c - 9600*a^2*(-b)^(19/2)*c + 16384*a^4*(-b)^(17/2)*c + 3280*a^6*(-b)^(15/2)*c - 544*a^8*(-b)^(13/2)*c - 30720*a^3*(-b)^(19/2)*c + 15616*a^5*(-b)^(17/2)*c + 3664*a^7*(-b)^(15/2)*c - 128*a^9*(-b)^(13/2)*c - 1152*a*(-b)^(21/2)*c^2 - 46080*a^2*(-b)^(21/2)*c - 49920*a^4*(-b)^(19/2)*c + 6144*a^6*(-b)^(17/2)*c + 1664*a^8*(-b)^(15/2)*c - 61440*a^3*(-b)^(21/2)*c - 44160*a^5*(-b)^(19/2)*c - 128*a^7*(-b)^(17/2)*c + 256*a^9*(-b)^(15/2)*c + 46080*a*(-b)^(23/2)*c^2 - 46080*a^4*(-b)^(21/2)*c - 20352*a^6*(-b)^(19/2)*c - 512*a^8*(-b)^(17/2)*c + 9600*a*(-b)^(23/2)*c^3 - 18432*a^5*(-b)^(21/2)*c - 3840*a^7*(-b)^(19/2)*c - 3072*a^6*(-b)^(21/2)*c - 61440*a*(-b)^(25/2)*c^3 - 17280*a*(-b)^(25/2)*c^4 + 46080*a*(-b)^(27/2)*c^4 + 14976*a*(-b)^(27/2)*c^5 - 18432*a*(-b)^(29/2)*c^5 - 6528*a*(-b)^(29/2)*c^6 + 3072*a*(-b)^(31/2)*c^6 + 1152*a*(-b)^(31/2)*c^7))/((-b)^(1/4)*(a^6*b^17 + 9*a^7*b^17*c + 36*a^8*b^17*c^2 + 84*a^9*b^17*c^3 + 126*a^10*b^17*c^4 + 126*a^11*b^17*c^5 + 84*a^12*b^17*c^6 + 36*a^13*b^17*c^7 + 9*a^14*b^17*c^8 + a^15*b^17*c^9)) - (((64*(36*a^12*(-b)^(25/4) - 4*a^13*(-b)^(21/4) + 48*a^13*(-b)^(25/4) - 60*a^11*(-b)^(29/4) - 240*a^12*(-b)^(29/4) - 192*a^13*(-b)^(29/4) - 180*a^10*(-b)^(33/4) - 240*a^11*(-b)^(33/4) + 192*a^12*(-b)^(33/4) + 240*a^9*(-b)^(37/4) + 256*a^13*(-b)^(33/4) + 1200*a^10*(-b)^(37/4) + 1728*a^11*(-b)^(37/4) + 320*a^8*(-b)^(41/4) + 768*a^12*(-b)^(37/4) + 1152*a^9*(-b)^(41/4) + 1344*a^10*(-b)^(41/4) + 512*a^11*(-b)^(41/4) - 144*a^13*(-b)^(29/4)*c^2 + 912*a^12*(-b)^(33/4)*c^2 + 1344*a^13*(-b)^(33/4)*c^2 + 336*a^13*(-b)^(33/4)*c^3 - 432*a^11*(-b)^(37/4)*c^2 - 4032*a^12*(-b)^(37/4)*c^2 - 1680*a^12*(-b)^(37/4)*c^3 - 4032*a^13*(-b)^(37/4)*c^2 - 4624*a^10*(-b)^(41/4)*c^2 - 2688*a^13*(-b)^(37/4)*c^3 - 9408*a^11*(-b)^(41/4)*c^2 - 504*a^13*(-b)^(37/4)*c^4 - 336*a^11*(-b)^(41/4)*c^3 - 1344*a^12*(-b)^(41/4)*c^2 + 3584*a^9*(-b)^(45/4)*c^2 + 5376*a^12*(-b)^(41/4)*c^3 + 3584*a^13*(-b)^(41/4)*c^2 + 20160*a^10*(-b)^(45/4)*c^2 + 1848*a^12*(-b)^(41/4)*c^4 + 6720*a^13*(-b)^(41/4)*c^3 + 8848*a^10*(-b)^(45/4)*c^3 + 30912*a^11*(-b)^(45/4)*c^2 + 3360*a^13*(-b)^(41/4)*c^4 + 6720*a^8*(-b)^(49/4)*c^2 + 21504*a^11*(-b)^(45/4)*c^3 + 14336*a^12*(-b)^(45/4)*c^2 + 504*a^13*(-b)^(41/4)*c^5 + 24192*a^9*(-b)^(49/4)*c^2 + 1848*a^11*(-b)^(45/4)*c^4 + 9408*a^12*(-b)^(45/4)*c^3 - 4032*a^9*(-b)^(49/4)*c^3 + 28224*a^10*(-b)^(49/4)*c^2 - 3360*a^12*(-b)^(45/4)*c^4 - 3584*a^13*(-b)^(45/4)*c^3 - 26880*a^10*(-b)^(49/4)*c^3 + 10752*a^11*(-b)^(49/4)*c^2 - 1176*a^12*(-b)^(45/4)*c^5 - 6720*a^13*(-b)^(45/4)*c^4 - 10584*a^10*(-b)^(49/4)*c^4 - 44352*a^11*(-b)^(49/4)*c^3 - 2688*a^13*(-b)^(45/4)*c^5 - 11200*a^8*(-b)^(53/4)*c^3 - 30240*a^11*(-b)^(49/4)*c^4 - 21504*a^12*(-b)^(49/4)*c^3 - 336*a^13*(-b)^(45/4)*c^6 - 40320*a^9*(-b)^(53/4)*c^3 - 2520*a^11*(-b)^(49/4)*c^5 - 20160*a^12*(-b)^(49/4)*c^4 + 1120*a^9*(-b)^(53/4)*c^4 - 47040*a^10*(-b)^(53/4)*c^3 + 16800*a^10*(-b)^(53/4)*c^4 - 17920*a^11*(-b)^(53/4)*c^3 + 336*a^12*(-b)^(49/4)*c^6 + 4032*a^13*(-b)^(49/4)*c^5 + 8120*a^10*(-b)^(53/4)*c^5 + 33600*a^11*(-b)^(53/4)*c^4 + 1344*a^13*(-b)^(49/4)*c^6 + 11200*a^8*(-b)^(57/4)*c^4 + 26880*a^11*(-b)^(53/4)*c^5 + 17920*a^12*(-b)^(53/4)*c^4 + 144*a^13*(-b)^(49/4)*c^7 + 40320*a^9*(-b)^(57/4)*c^4 + 1680*a^11*(-b)^(53/4)*c^6 + 22848*a^12*(-b)^(53/4)*c^5 + 2240*a^9*(-b)^(57/4)*c^5 + 47040*a^10*(-b)^(57/4)*c^4 + 1344*a^12*(-b)^(53/4)*c^6 + 3584*a^13*(-b)^(53/4)*c^5 + 17920*a^11*(-b)^(57/4)*c^4 + 48*a^12*(-b)^(53/4)*c^7 - 1344*a^13*(-b)^(53/4)*c^6 - 3920*a^10*(-b)^(57/4)*c^6 - 9408*a^11*(-b)^(57/4)*c^5 - 384*a^13*(-b)^(53/4)*c^7 - 6720*a^8*(-b)^(61/4)*c^5 - 14784*a^11*(-b)^(57/4)*c^6 - 7168*a^12*(-b)^(57/4)*c^5 - 36*a^13*(-b)^(53/4)*c^8 - 24192*a^9*(-b)^(61/4)*c^5 - 528*a^11*(-b)^(57/4)*c^7 - 14784*a^12*(-b)^(57/4)*c^6 - 2688*a^9*(-b)^(61/4)*c^6 - 28224*a^10*(-b)^(61/4)*c^5 - 768*a^12*(-b)^(57/4)*c^7 - 3584*a^13*(-b)^(57/4)*c^6 - 6720*a^10*(-b)^(61/4)*c^6 - 10752*a^11*(-b)^(61/4)*c^5 - 60*a^12*(-b)^(57/4)*c^8 + 192*a^13*(-b)^(57/4)*c^7 + 1104*a^10*(-b)^(61/4)*c^7 - 4032*a^11*(-b)^(61/4)*c^6 + 48*a^13*(-b)^(57/4)*c^8 + 2240*a^8*(-b)^(65/4)*c^6 + 4608*a^11*(-b)^(61/4)*c^7 + 4*a^13*(-b)^(57/4)*c^9 + 8064*a^9*(-b)^(65/4)*c^6 + 36*a^11*(-b)^(61/4)*c^8 + 5184*a^12*(-b)^(61/4)*c^7 + 1216*a^9*(-b)^(65/4)*c^7 + 9408*a^10*(-b)^(65/4)*c^6 + 144*a^12*(-b)^(61/4)*c^8 + 1536*a^13*(-b)^(61/4)*c^7 + 3840*a^10*(-b)^(65/4)*c^7 + 3584*a^11*(-b)^(65/4)*c^6 + 12*a^12*(-b)^(61/4)*c^9 - 148*a^10*(-b)^(65/4)*c^8 + 3648*a^11*(-b)^(65/4)*c^7 - 320*a^8*(-b)^(69/4)*c^7 - 624*a^11*(-b)^(65/4)*c^8 + 1024*a^12*(-b)^(65/4)*c^7 - 1152*a^9*(-b)^(69/4)*c^7 + 12*a^11*(-b)^(65/4)*c^9 - 768*a^12*(-b)^(65/4)*c^8 - 208*a^9*(-b)^(69/4)*c^8 - 1344*a^10*(-b)^(69/4)*c^7 - 256*a^13*(-b)^(65/4)*c^8 - 720*a^10*(-b)^(69/4)*c^8 - 512*a^11*(-b)^(69/4)*c^7 + 4*a^10*(-b)^(69/4)*c^9 - 768*a^11*(-b)^(69/4)*c^8 - 256*a^12*(-b)^(69/4)*c^8 + 36*a^13*(-b)^(25/4)*c - 276*a^12*(-b)^(29/4)*c - 384*a^13*(-b)^(29/4)*c + 300*a^11*(-b)^(33/4)*c + 1536*a^12*(-b)^(33/4)*c + 1344*a^13*(-b)^(33/4)*c + 1380*a^10*(-b)^(37/4)*c + 2304*a^11*(-b)^(37/4)*c - 576*a^12*(-b)^(37/4)*c - 1472*a^9*(-b)^(41/4)*c - 1536*a^13*(-b)^(37/4)*c - 7680*a^10*(-b)^(41/4)*c - 11328*a^11*(-b)^(41/4)*c - 2240*a^8*(-b)^(45/4)*c - 5120*a^12*(-b)^(41/4)*c - 8064*a^9*(-b)^(45/4)*c - 9408*a^10*(-b)^(45/4)*c - 3584*a^11*(-b)^(45/4)*c))/(a^7*b^18 + 9*a^8*b^18*c + 36*a^9*b^18*c^2 + 84*a^10*b^18*c^3 + 126*a^11*b^18*c^4 + 126*a^12*b^18*c^5 + 84*a^13*b^18*c^6 + 36*a^14*b^18*c^7 + 9*a^15*b^18*c^8 + a^16*b^18*c^9) + (64*(-(b*x - 1)/(c + x))^(1/4)*(b*((-b)^(3/4) + a*((-b)^(3/4) + ((-b)^(3/4)*c)/4)) + (a*(-b)^(3/4))/4)*(16*a^13*(-b)^(11/2) - 80*a^12*(-b)^(13/2) - 80*a^11*(-b)^(15/2) - 128*a^13*(-b)^(13/2) + 400*a^10*(-b)^(17/2) + 128*a^12*(-b)^(15/2) + 896*a^9*(-b)^(19/2) + 1152*a^11*(-b)^(17/2) + 256*a^13*(-b)^(15/2) + 512*a^8*(-b)^(21/2) + 1920*a^10*(-b)^(19/2) + 768*a^12*(-b)^(17/2) + 1024*a^9*(-b)^(21/2) + 1024*a^11*(-b)^(19/2) + 512*a^10*(-b)^(21/2) + 448*a^13*(-b)^(15/2)*c^2 - 1344*a^12*(-b)^(17/2)*c^2 - 2624*a^11*(-b)^(19/2)*c^2 - 2688*a^13*(-b)^(17/2)*c^2 + 1088*a^10*(-b)^(21/2)*c^2 + 128*a^12*(-b)^(19/2)*c^2 - 896*a^13*(-b)^(17/2)*c^3 + 9600*a^9*(-b)^(23/2)*c^2 + 9344*a^11*(-b)^(21/2)*c^2 + 1792*a^12*(-b)^(19/2)*c^3 + 4096*a^13*(-b)^(19/2)*c^2 + 7680*a^8*(-b)^(25/2)*c^2 + 21888*a^10*(-b)^(23/2)*c^2 + 4096*a^11*(-b)^(21/2)*c^3 + 8704*a^12*(-b)^(21/2)*c^2 + 4480*a^13*(-b)^(19/2)*c^3 + 15360*a^9*(-b)^(25/2)*c^2 + 3328*a^10*(-b)^(23/2)*c^3 + 12288*a^11*(-b)^(23/2)*c^2 + 128*a^12*(-b)^(21/2)*c^3 + 1120*a^13*(-b)^(19/2)*c^4 - 8320*a^9*(-b)^(25/2)*c^3 + 7680*a^10*(-b)^(25/2)*c^2 - 4992*a^11*(-b)^(23/2)*c^3 - 1120*a^12*(-b)^(21/2)*c^4 - 6656*a^13*(-b)^(21/2)*c^3 - 10240*a^8*(-b)^(27/2)*c^3 - 21120*a^10*(-b)^(25/2)*c^3 - 2400*a^11*(-b)^(23/2)*c^4 - 9216*a^12*(-b)^(23/2)*c^3 - 4480*a^13*(-b)^(21/2)*c^4 - 20480*a^9*(-b)^(27/2)*c^3 - 7200*a^10*(-b)^(25/2)*c^4 - 12800*a^11*(-b)^(25/2)*c^3 + 1920*a^12*(-b)^(23/2)*c^4 - 896*a^13*(-b)^(21/2)*c^5 + 640*a^9*(-b)^(27/2)*c^4 - 10240*a^10*(-b)^(27/2)*c^3 - 3200*a^11*(-b)^(25/2)*c^4 + 7680*a^13*(-b)^(23/2)*c^4 + 7680*a^8*(-b)^(29/2)*c^4 + 5760*a^10*(-b)^(27/2)*c^4 - 1280*a^11*(-b)^(25/2)*c^5 + 5120*a^12*(-b)^(25/2)*c^4 + 2688*a^13*(-b)^(23/2)*c^5 + 15360*a^9*(-b)^(29/2)*c^4 + 5120*a^10*(-b)^(27/2)*c^5 + 5120*a^11*(-b)^(27/2)*c^4 - 5248*a^12*(-b)^(25/2)*c^5 + 448*a^13*(-b)^(23/2)*c^6 + 4224*a^9*(-b)^(29/2)*c^5 + 7680*a^10*(-b)^(29/2)*c^4 + 3968*a^11*(-b)^(27/2)*c^5 + 448*a^12*(-b)^(25/2)*c^6 - 6656*a^13*(-b)^(25/2)*c^5 - 3072*a^8*(-b)^(31/2)*c^5 + 5760*a^10*(-b)^(29/2)*c^5 + 2752*a^11*(-b)^(27/2)*c^6 - 2048*a^12*(-b)^(27/2)*c^5 - 896*a^13*(-b)^(25/2)*c^6 - 6144*a^9*(-b)^(31/2)*c^5 - 704*a^10*(-b)^(29/2)*c^6 + 1536*a^11*(-b)^(29/2)*c^5 + 5504*a^12*(-b)^(27/2)*c^6 - 128*a^13*(-b)^(25/2)*c^7 - 2944*a^9*(-b)^(31/2)*c^6 - 3072*a^10*(-b)^(31/2)*c^5 + 384*a^11*(-b)^(29/2)*c^6 - 256*a^12*(-b)^(27/2)*c^7 + 4096*a^13*(-b)^(27/2)*c^6 + 512*a^8*(-b)^(33/2)*c^6 - 4992*a^10*(-b)^(31/2)*c^6 - 1536*a^11*(-b)^(29/2)*c^7 + 1536*a^12*(-b)^(29/2)*c^6 + 128*a^13*(-b)^(27/2)*c^7 + 1024*a^9*(-b)^(33/2)*c^6 - 768*a^10*(-b)^(31/2)*c^7 - 2048*a^11*(-b)^(31/2)*c^6 - 2688*a^12*(-b)^(29/2)*c^7 + 16*a^13*(-b)^(27/2)*c^8 + 640*a^9*(-b)^(33/2)*c^7 + 512*a^10*(-b)^(33/2)*c^6 - 1664*a^11*(-b)^(31/2)*c^7 + 48*a^12*(-b)^(29/2)*c^8 - 1536*a^13*(-b)^(29/2)*c^7 + 1152*a^10*(-b)^(33/2)*c^7 + 304*a^11*(-b)^(31/2)*c^8 - 1024*a^12*(-b)^(31/2)*c^7 + 272*a^10*(-b)^(33/2)*c^8 + 512*a^11*(-b)^(33/2)*c^7 + 512*a^12*(-b)^(31/2)*c^8 + 512*a^11*(-b)^(33/2)*c^8 + 256*a^13*(-b)^(31/2)*c^8 + 256*a^12*(-b)^(33/2)*c^8 - 128*a^13*(-b)^(13/2)*c + 512*a^12*(-b)^(15/2)*c + 768*a^11*(-b)^(17/2)*c + 896*a^13*(-b)^(15/2)*c - 1536*a^10*(-b)^(19/2)*c - 384*a^12*(-b)^(17/2)*c - 4736*a^9*(-b)^(21/2)*c - 5504*a^11*(-b)^(19/2)*c - 1536*a^13*(-b)^(17/2)*c - 3072*a^8*(-b)^(23/2)*c - 10368*a^10*(-b)^(21/2)*c - 4096*a^12*(-b)^(19/2)*c - 6144*a^9*(-b)^(23/2)*c - 5632*a^11*(-b)^(21/2)*c - 3072*a^10*(-b)^(23/2)*c))/(a^2*(-b)^(9/4)*(a^6*b^17 + 9*a^7*b^17*c + 36*a^8*b^17*c^2 + 84*a^9*b^17*c^3 + 126*a^10*b^17*c^4 + 126*a^11*b^17*c^5 + 84*a^12*b^17*c^6 + 36*a^13*b^17*c^7 + 9*a^14*b^17*c^8 + a^15*b^17*c^9)))*(b*((-b)^(3/4) + a*((-b)^(3/4) + ((-b)^(3/4)*c)/4)) + (a*(-b)^(3/4))/4)^3)/(a^6*b^6))*1i)/(a^2*b^2))/((128*(5*a^4*(-b)^(21/4) - 320*(-b)^(37/4) + 19*a^5*(-b)^(21/4) + 27*a^6*(-b)^(21/4) - 55*a^3*(-b)^(25/4) + 17*a^7*(-b)^(21/4) - 269*a^4*(-b)^(25/4) + 4*a^8*(-b)^(21/4) - 525*a^5*(-b)^(25/4) + 180*a^2*(-b)^(29/4) - 511*a^6*(-b)^(25/4) + 1104*a^3*(-b)^(29/4) - 248*a^7*(-b)^(25/4) + 2808*a^4*(-b)^(29/4) - 48*a^8*(-b)^(25/4) + 3792*a^5*(-b)^(29/4) - 784*a^2*(-b)^(33/4) + 2868*a^6*(-b)^(29/4) - 2976*a^3*(-b)^(33/4) + 1152*a^7*(-b)^(29/4) - 5920*a^4*(-b)^(33/4) + 192*a^8*(-b)^(29/4) - 6800*a^5*(-b)^(33/4) - 6336*a^2*(-b)^(37/4) - 4560*a^6*(-b)^(33/4) - 10240*a^3*(-b)^(37/4) - 1664*a^7*(-b)^(33/4) - 9920*a^4*(-b)^(37/4) - 256*a^8*(-b)^(33/4) - 5760*a^5*(-b)^(37/4) - 1856*a^6*(-b)^(37/4) - 256*a^7*(-b)^(37/4) - 6720*(-b)^(45/4)*c^2 + 11200*(-b)^(49/4)*c^3 - 11200*(-b)^(53/4)*c^4 + 6720*(-b)^(57/4)*c^5 - 2240*(-b)^(61/4)*c^6 + 320*(-b)^(65/4)*c^7 - 80*a*(-b)^(33/4) - 2176*a*(-b)^(37/4) + 2240*(-b)^(41/4)*c + a^6*(-b)^(21/4)*c^2 + 3*a^7*(-b)^(21/4)*c^2 + 3*a^8*(-b)^(21/4)*c^2 - 71*a^5*(-b)^(25/4)*c^2 + a^9*(-b)^(21/4)*c^2 - 265*a^6*(-b)^(25/4)*c^2 - 10*a^6*(-b)^(25/4)*c^3 - 369*a^7*(-b)^(25/4)*c^2 + 849*a^4*(-b)^(29/4)*c^2 - 30*a^7*(-b)^(25/4)*c^3 - 227*a^8*(-b)^(25/4)*c^2 + 3851*a^5*(-b)^(29/4)*c^2 - 30*a^8*(-b)^(25/4)*c^3 - 52*a^9*(-b)^(25/4)*c^2 + 368*a^5*(-b)^(29/4)*c^3 + 6939*a^6*(-b)^(29/4)*c^2 - 10*a^9*(-b)^(25/4)*c^3 - 3607*a^3*(-b)^(33/4)*c^2 + 1392*a^6*(-b)^(29/4)*c^3 + 6201*a^7*(-b)^(29/4)*c^2 - 19689*a^4*(-b)^(33/4)*c^2 + 45*a^6*(-b)^(29/4)*c^4 + 1968*a^7*(-b)^(29/4)*c^3 + 2744*a^8*(-b)^(29/4)*c^2 - 3198*a^4*(-b)^(33/4)*c^3 - 44241*a^5*(-b)^(33/4)*c^2 + 135*a^7*(-b)^(29/4)*c^4 + 1232*a^8*(-b)^(29/4)*c^3 + 480*a^9*(-b)^(29/4)*c^2 + 4880*a^2*(-b)^(37/4)*c^2 - 14874*a^5*(-b)^(33/4)*c^3 - 52259*a^6*(-b)^(33/4)*c^2 + 135*a^8*(-b)^(29/4)*c^4 + 288*a^9*(-b)^(29/4)*c^3 + 33088*a^3*(-b)^(37/4)*c^2 - 1107*a^5*(-b)^(33/4)*c^4 - 27546*a^6*(-b)^(33/4)*c^3 - 34116*a^7*(-b)^(33/4)*c^2 + 45*a^9*(-b)^(29/4)*c^4 + 9976*a^3*(-b)^(37/4)*c^3 + 93600*a^4*(-b)^(37/4)*c^2 - 4233*a^6*(-b)^(33/4)*c^4 - 25374*a^7*(-b)^(33/4)*c^3 - 11616*a^8*(-b)^(33/4)*c^2 + 56280*a^4*(-b)^(37/4)*c^3 + 142912*a^5*(-b)^(37/4)*c^2 - 120*a^6*(-b)^(33/4)*c^5 - 6057*a^7*(-b)^(33/4)*c^4 - 11616*a^8*(-b)^(33/4)*c^3 - 1600*a^9*(-b)^(33/4)*c^2 + 11200*a^2*(-b)^(41/4)*c^2 + 7290*a^4*(-b)^(37/4)*c^4 + 131064*a^5*(-b)^(37/4)*c^3 + 126608*a^6*(-b)^(37/4)*c^2 - 360*a^7*(-b)^(33/4)*c^5 - 3843*a^8*(-b)^(33/4)*c^4 - 2112*a^9*(-b)^(33/4)*c^3 - 7952*a^2*(-b)^(41/4)*c^3 + 12096*a^3*(-b)^(41/4)*c^2 + 34566*a^5*(-b)^(37/4)*c^4 + 161096*a^6*(-b)^(37/4)*c^3 + 64512*a^7*(-b)^(37/4)*c^2 - 360*a^8*(-b)^(33/4)*c^5 - 912*a^9*(-b)^(33/4)*c^4 - 59136*a^3*(-b)^(41/4)*c^3 - 13440*a^4*(-b)^(41/4)*c^2 + 2148*a^5*(-b)^(37/4)*c^5 + 65334*a^6*(-b)^(37/4)*c^4 + 110064*a^7*(-b)^(37/4)*c^3 + 17216*a^8*(-b)^(37/4)*c^2 - 120*a^9*(-b)^(33/4)*c^5 - 16590*a^3*(-b)^(41/4)*c^4 - 180768*a^4*(-b)^(41/4)*c^3 - 44800*a^5*(-b)^(41/4)*c^2 + 8292*a^6*(-b)^(37/4)*c^5 + 61506*a^7*(-b)^(37/4)*c^4 + 39552*a^8*(-b)^(37/4)*c^3 + 1792*a^9*(-b)^(37/4)*c^2 - 133056*a^2*(-b)^(45/4)*c^2 - 96810*a^4*(-b)^(41/4)*c^4 - 296128*a^5*(-b)^(41/4)*c^3 + 210*a^6*(-b)^(37/4)*c^6 - 44352*a^6*(-b)^(41/4)*c^2 + 11988*a^7*(-b)^(37/4)*c^5 + 28824*a^8*(-b)^(37/4)*c^4 + 5824*a^9*(-b)^(37/4)*c^3 - 55552*a^2*(-b)^(45/4)*c^3 - 215040*a^3*(-b)^(45/4)*c^2 - 10752*a^4*(-b)^(41/4)*c^5 - 233226*a^5*(-b)^(41/4)*c^4 - 281232*a^6*(-b)^(41/4)*c^3 + 630*a^7*(-b)^(37/4)*c^6 - 20160*a^7*(-b)^(41/4)*c^2 + 7692*a^8*(-b)^(37/4)*c^5 + 5376*a^9*(-b)^(37/4)*c^4 + 5208*a^2*(-b)^(45/4)*c^4 - 119616*a^3*(-b)^(45/4)*c^3 - 208320*a^4*(-b)^(45/4)*c^2 - 51912*a^5*(-b)^(41/4)*c^5 - 296814*a^6*(-b)^(41/4)*c^4 - 154560*a^7*(-b)^(41/4)*c^3 + 630*a^8*(-b)^(37/4)*c^6 - 3584*a^8*(-b)^(41/4)*c^2 + 1848*a^9*(-b)^(37/4)*c^5 + 51296*a^3*(-b)^(45/4)*c^4 - 125440*a^4*(-b)^(45/4)*c^3 - 2814*a^5*(-b)^(41/4)*c^6 - 120960*a^5*(-b)^(45/4)*c^2 - 99960*a^6*(-b)^(41/4)*c^5 - 210336*a^7*(-b)^(41/4)*c^4 - 45248*a^8*(-b)^(41/4)*c^3 + 210*a^9*(-b)^(37/4)*c^6 + 16940*a^3*(-b)^(45/4)*c^5 + 185808*a^4*(-b)^(45/4)*c^4 - 56000*a^5*(-b)^(45/4)*c^3 - 10962*a^6*(-b)^(41/4)*c^6 - 38976*a^6*(-b)^(45/4)*c^2 - 95928*a^7*(-b)^(41/4)*c^5 - 78624*a^8*(-b)^(41/4)*c^4 - 5376*a^9*(-b)^(41/4)*c^3 + 221760*a^2*(-b)^(49/4)*c^3 + 103404*a^4*(-b)^(45/4)*c^5 + 343392*a^5*(-b)^(45/4)*c^4 - 252*a^6*(-b)^(41/4)*c^7 + 5376*a^6*(-b)^(45/4)*c^3 - 16002*a^7*(-b)^(41/4)*c^6 - 5376*a^7*(-b)^(45/4)*c^2 - 45864*a^8*(-b)^(41/4)*c^5 - 12096*a^9*(-b)^(41/4)*c^4 + 110880*a^2*(-b)^(49/4)*c^4 + 358400*a^3*(-b)^(49/4)*c^3 + 10458*a^4*(-b)^(45/4)*c^6 + 259644*a^5*(-b)^(45/4)*c^5 + 359128*a^6*(-b)^(45/4)*c^4 - 756*a^7*(-b)^(41/4)*c^7 + 13888*a^7*(-b)^(45/4)*c^3 - 10374*a^8*(-b)^(41/4)*c^6 - 8736*a^9*(-b)^(41/4)*c^5 + 3080*a^2*(-b)^(49/4)*c^5 + 268800*a^3*(-b)^(49/4)*c^4 + 347200*a^4*(-b)^(49/4)*c^3 + 51534*a^5*(-b)^(45/4)*c^6 + 343588*a^6*(-b)^(45/4)*c^5 + 215040*a^7*(-b)^(45/4)*c^4 - 756*a^8*(-b)^(41/4)*c^7 + 3584*a^8*(-b)^(45/4)*c^3 - 2520*a^9*(-b)^(41/4)*c^6 - 3584*a^3*(-b)^(49/4)*c^5 + 347200*a^4*(-b)^(49/4)*c^4 + 2520*a^5*(-b)^(45/4)*c^7 + 201600*a^5*(-b)^(49/4)*c^3 + 101262*a^6*(-b)^(45/4)*c^6 + 252840*a^7*(-b)^(45/4)*c^5 + 68544*a^8*(-b)^(45/4)*c^4 - 252*a^9*(-b)^(41/4)*c^7 - 9926*a^3*(-b)^(49/4)*c^6 - 71568*a^4*(-b)^(49/4)*c^5 + 252000*a^5*(-b)^(49/4)*c^4 + 9912*a^6*(-b)^(45/4)*c^7 + 64960*a^6*(-b)^(49/4)*c^3 + 99162*a^7*(-b)^(45/4)*c^6 + 98112*a^8*(-b)^(45/4)*c^5 + 8960*a^9*(-b)^(45/4)*c^4 - 221760*a^2*(-b)^(53/4)*c^4 - 65898*a^4*(-b)^(49/4)*c^6 - 197792*a^5*(-b)^(49/4)*c^5 + 210*a^6*(-b)^(45/4)*c^8 + 97440*a^6*(-b)^(49/4)*c^4 + 14616*a^7*(-b)^(45/4)*c^7 + 8960*a^7*(-b)^(49/4)*c^3 + 48384*a^8*(-b)^(45/4)*c^6 + 15680*a^9*(-b)^(45/4)*c^5 - 121856*a^2*(-b)^(53/4)*c^5 - 358400*a^3*(-b)^(53/4)*c^4 - 6564*a^4*(-b)^(49/4)*c^7 - 177114*a^5*(-b)^(49/4)*c^6 - 254968*a^6*(-b)^(49/4)*c^5 + 630*a^7*(-b)^(45/4)*c^8 + 15680*a^7*(-b)^(49/4)*c^4 + 9576*a^8*(-b)^(45/4)*c^7 + 9408*a^9*(-b)^(45/4)*c^6 - 8624*a^2*(-b)^(53/4)*c^6 - 310464*a^3*(-b)^(53/4)*c^5 - 347200*a^4*(-b)^(53/4)*c^4 - 33276*a^5*(-b)^(49/4)*c^7 - 248206*a^6*(-b)^(49/4)*c^6 - 175392*a^7*(-b)^(49/4)*c^5 + 630*a^8*(-b)^(45/4)*c^8 + 2352*a^9*(-b)^(45/4)*c^7 - 36288*a^3*(-b)^(53/4)*c^6 - 430080*a^4*(-b)^(53/4)*c^5 - 1518*a^5*(-b)^(49/4)*c^8 - 201600*a^5*(-b)^(53/4)*c^4 - 67164*a^6*(-b)^(49/4)*c^7 - 192024*a^7*(-b)^(49/4)*c^6 - 62272*a^8*(-b)^(49/4)*c^5 + 210*a^9*(-b)^(45/4)*c^8 + 2232*a^3*(-b)^(53/4)*c^7 - 47712*a^4*(-b)^(53/4)*c^6 - 347200*a^5*(-b)^(53/4)*c^5 - 6042*a^6*(-b)^(49/4)*c^8 - 64960*a^6*(-b)^(53/4)*c^4 - 67476*a^7*(-b)^(49/4)*c^7 - 77952*a^8*(-b)^(49/4)*c^6 - 8960*a^9*(-b)^(49/4)*c^5 + 133056*a^2*(-b)^(57/4)*c^5 + 20184*a^4*(-b)^(53/4)*c^7 + 4928*a^5*(-b)^(53/4)*c^6 - 120*a^6*(-b)^(49/4)*c^9 - 161280*a^6*(-b)^(53/4)*c^5 - 9018*a^7*(-b)^(49/4)*c^8 - 8960*a^7*(-b)^(53/4)*c^4 - 33744*a^8*(-b)^(49/4)*c^7 - 12992*a^9*(-b)^(49/4)*c^6 + 77504*a^2*(-b)^(57/4)*c^6 + 215040*a^3*(-b)^(57/4)*c^5 + 2433*a^4*(-b)^(53/4)*c^8 + 65016*a^5*(-b)^(53/4)*c^7 + 72912*a^6*(-b)^(53/4)*c^6 - 360*a^7*(-b)^(49/4)*c^9 - 38976*a^7*(-b)^(53/4)*c^5 - 5982*a^8*(-b)^(49/4)*c^8 - 6720*a^9*(-b)^(49/4)*c^7 + 6960*a^2*(-b)^(57/4)*c^7 + 202944*a^3*(-b)^(57/4)*c^6 + 208320*a^4*(-b)^(57/4)*c^5 + 12999*a^5*(-b)^(53/4)*c^8 + 102984*a^6*(-b)^(53/4)*c^7 + 75264*a^7*(-b)^(53/4)*c^6 - 360*a^8*(-b)^(49/4)*c^9 - 3584*a^8*(-b)^(53/4)*c^5 - 1488*a^9*(-b)^(49/4)*c^8 + 35072*a^3*(-b)^(57/4)*c^7 + 291200*a^4*(-b)^(57/4)*c^6 + 582*a^5*(-b)^(53/4)*c^9 + 120960*a^5*(-b)^(57/4)*c^5 + 27471*a^6*(-b)^(53/4)*c^8 + 87216*a^7*(-b)^(53/4)*c^7 + 32704*a^8*(-b)^(53/4)*c^6 - 120*a^9*(-b)^(49/4)*c^9 + 869*a^3*(-b)^(57/4)*c^8 + 69600*a^4*(-b)^(57/4)*c^7 + 246400*a^5*(-b)^(57/4)*c^6 + 2358*a^6*(-b)^(53/4)*c^9 + 38976*a^6*(-b)^(57/4)*c^5 + 28749*a^7*(-b)^(53/4)*c^8 + 38016*a^8*(-b)^(53/4)*c^7 + 5376*a^9*(-b)^(53/4)*c^6 - 44352*a^2*(-b)^(61/4)*c^6 + 1335*a^4*(-b)^(57/4)*c^8 + 65088*a^5*(-b)^(57/4)*c^7 + 45*a^6*(-b)^(53/4)*c^10 + 122304*a^6*(-b)^(57/4)*c^6 + 3582*a^7*(-b)^(53/4)*c^9 + 5376*a^7*(-b)^(57/4)*c^5 + 14916*a^8*(-b)^(53/4)*c^8 + 6720*a^9*(-b)^(53/4)*c^7 - 26880*a^2*(-b)^(61/4)*c^7 - 71680*a^3*(-b)^(61/4)*c^6 - 380*a^4*(-b)^(57/4)*c^9 - 5289*a^5*(-b)^(57/4)*c^8 + 22192*a^6*(-b)^(57/4)*c^7 + 135*a^7*(-b)^(53/4)*c^10 + 32704*a^7*(-b)^(57/4)*c^6 + 2418*a^8*(-b)^(53/4)*c^9 + 3072*a^9*(-b)^(53/4)*c^8 - 2668*a^2*(-b)^(61/4)*c^8 - 71616*a^3*(-b)^(61/4)*c^7 - 69440*a^4*(-b)^(61/4)*c^6 - 2416*a^5*(-b)^(57/4)*c^9 - 17171*a^6*(-b)^(57/4)*c^8 - 7872*a^7*(-b)^(57/4)*c^7 + 135*a^8*(-b)^(53/4)*c^10 + 3584*a^8*(-b)^(57/4)*c^6 + 612*a^9*(-b)^(53/4)*c^9 - 14384*a^3*(-b)^(61/4)*c^8 - 104960*a^4*(-b)^(61/4)*c^7 - 123*a^5*(-b)^(57/4)*c^10 - 40320*a^5*(-b)^(61/4)*c^6 - 5784*a^6*(-b)^(57/4)*c^9 - 19464*a^7*(-b)^(57/4)*c^8 - 8256*a^8*(-b)^(57/4)*c^7 + 45*a^9*(-b)^(53/4)*c^10 - 670*a^3*(-b)^(61/4)*c^9 - 31752*a^4*(-b)^(61/4)*c^8 - 91200*a^5*(-b)^(61/4)*c^7 - 517*a^6*(-b)^(57/4)*c^10 - 12992*a^6*(-b)^(61/4)*c^6 - 6656*a^7*(-b)^(57/4)*c^9 - 10032*a^8*(-b)^(57/4)*c^8 - 1792*a^9*(-b)^(57/4)*c^7 + 6336*a^2*(-b)^(65/4)*c^7 - 2830*a^4*(-b)^(61/4)*c^9 - 36272*a^5*(-b)^(61/4)*c^8 - 10*a^6*(-b)^(57/4)*c^11 - 46848*a^6*(-b)^(61/4)*c^7 - 813*a^7*(-b)^(57/4)*c^10 - 1792*a^7*(-b)^(61/4)*c^6 - 3724*a^8*(-b)^(57/4)*c^9 - 1984*a^9*(-b)^(57/4)*c^8 + 3952*a^2*(-b)^(65/4)*c^8 + 10240*a^3*(-b)^(65/4)*c^7 - 43*a^4*(-b)^(61/4)*c^10 - 4374*a^5*(-b)^(61/4)*c^9 - 21868*a^6*(-b)^(61/4)*c^8 - 30*a^7*(-b)^(57/4)*c^11 - 13120*a^7*(-b)^(61/4)*c^7 - 567*a^8*(-b)^(57/4)*c^10 - 816*a^9*(-b)^(57/4)*c^9 + 412*a^2*(-b)^(65/4)*c^9 + 10656*a^3*(-b)^(65/4)*c^8 + 9920*a^4*(-b)^(65/4)*c^7 - 57*a^5*(-b)^(61/4)*c^10 - 2586*a^6*(-b)^(61/4)*c^9 - 5760*a^7*(-b)^(61/4)*c^8 - 30*a^8*(-b)^(57/4)*c^11 - 1536*a^8*(-b)^(61/4)*c^7 - 148*a^9*(-b)^(57/4)*c^10 + 2304*a^3*(-b)^(65/4)*c^9 + 15840*a^4*(-b)^(65/4)*c^8 + 8*a^5*(-b)^(61/4)*c^11 + 5760*a^5*(-b)^(65/4)*c^7 + 183*a^6*(-b)^(61/4)*c^10 + 236*a^7*(-b)^(61/4)*c^9 + 128*a^8*(-b)^(61/4)*c^8 - 10*a^9*(-b)^(57/4)*c^11 + 125*a^3*(-b)^(65/4)*c^10 + 5352*a^4*(-b)^(65/4)*c^9 + 14000*a^5*(-b)^(65/4)*c^8 + 40*a^6*(-b)^(61/4)*c^11 + 1856*a^6*(-b)^(65/4)*c^7 + 461*a^7*(-b)^(61/4)*c^10 + 864*a^8*(-b)^(61/4)*c^9 + 256*a^9*(-b)^(61/4)*c^8 + 595*a^4*(-b)^(65/4)*c^10 + 6608*a^5*(-b)^(65/4)*c^9 + a^6*(-b)^(61/4)*c^12 + 7344*a^6*(-b)^(65/4)*c^8 + 72*a^7*(-b)^(61/4)*c^11 + 256*a^7*(-b)^(65/4)*c^7 + 360*a^8*(-b)^(61/4)*c^10 + 256*a^9*(-b)^(61/4)*c^9 + 18*a^4*(-b)^(65/4)*c^11 + 1131*a^5*(-b)^(65/4)*c^10 + 4572*a^6*(-b)^(65/4)*c^9 + 3*a^7*(-b)^(61/4)*c^12 + 2112*a^7*(-b)^(65/4)*c^8 + 56*a^8*(-b)^(61/4)*c^11 + 96*a^9*(-b)^(61/4)*c^10 + 70*a^5*(-b)^(65/4)*c^11 + 1073*a^6*(-b)^(65/4)*c^10 + 1680*a^7*(-b)^(65/4)*c^9 + 3*a^8*(-b)^(61/4)*c^12 + 256*a^8*(-b)^(65/4)*c^8 + 16*a^9*(-b)^(61/4)*c^11 + a^5*(-b)^(65/4)*c^12 + 102*a^6*(-b)^(65/4)*c^11 + 508*a^7*(-b)^(65/4)*c^10 + 256*a^8*(-b)^(65/4)*c^9 + a^9*(-b)^(61/4)*c^12 + 3*a^6*(-b)^(65/4)*c^12 + 66*a^7*(-b)^(65/4)*c^11 + 96*a^8*(-b)^(65/4)*c^10 + 3*a^7*(-b)^(65/4)*c^12 + 16*a^8*(-b)^(65/4)*c^11 + a^8*(-b)^(65/4)*c^12 - 64*a*(-b)^(37/4)*c + 15232*a*(-b)^(41/4)*c + 6*a^5*(-b)^(21/4)*c + 22*a^6*(-b)^(21/4)*c + 30*a^7*(-b)^(21/4)*c - 116*a^4*(-b)^(25/4)*c + 18*a^8*(-b)^(21/4)*c - 504*a^5*(-b)^(25/4)*c + 4*a^9*(-b)^(21/4)*c - 864*a^6*(-b)^(25/4)*c + 706*a^3*(-b)^(29/4)*c - 728*a^7*(-b)^(25/4)*c + 3698*a^4*(-b)^(29/4)*c - 300*a^8*(-b)^(25/4)*c + 7914*a^5*(-b)^(29/4)*c - 48*a^9*(-b)^(25/4)*c - 1476*a^2*(-b)^(33/4)*c + 8806*a^6*(-b)^(29/4)*c - 9472*a^3*(-b)^(33/4)*c + 5324*a^7*(-b)^(29/4)*c - 25368*a^4*(-b)^(33/4)*c + 1632*a^8*(-b)^(29/4)*c - 36528*a^5*(-b)^(33/4)*c + 192*a^9*(-b)^(29/4)*c + 1536*a^2*(-b)^(37/4)*c - 30212*a^6*(-b)^(33/4)*c + 10176*a^3*(-b)^(37/4)*c - 14064*a^7*(-b)^(33/4)*c + 25600*a^4*(-b)^(37/4)*c - 3264*a^8*(-b)^(33/4)*c + 33600*a^5*(-b)^(37/4)*c - 256*a^9*(-b)^(33/4)*c + 2688*a*(-b)^(41/4)*c^2 + 44352*a^2*(-b)^(41/4)*c + 24576*a^6*(-b)^(37/4)*c + 71680*a^3*(-b)^(41/4)*c + 9536*a^7*(-b)^(37/4)*c + 69440*a^4*(-b)^(41/4)*c + 1536*a^8*(-b)^(37/4)*c + 40320*a^5*(-b)^(41/4)*c - 45696*a*(-b)^(45/4)*c^2 + 12992*a^6*(-b)^(41/4)*c - 10304*a*(-b)^(45/4)*c^3 + 1792*a^7*(-b)^(41/4)*c + 76160*a*(-b)^(49/4)*c^3 + 19040*a*(-b)^(49/4)*c^4 - 76160*a*(-b)^(53/4)*c^4 - 20160*a*(-b)^(53/4)*c^5 + 45696*a*(-b)^(57/4)*c^5 + 12544*a*(-b)^(57/4)*c^6 - 15232*a*(-b)^(61/4)*c^6 - 4288*a*(-b)^(61/4)*c^7 + 2176*a*(-b)^(65/4)*c^7 + 624*a*(-b)^(65/4)*c^8))/(a^7*b^18 + 9*a^8*b^18*c + 36*a^9*b^18*c^2 + 84*a^10*b^18*c^3 + 126*a^11*b^18*c^4 + 126*a^12*b^18*c^5 + 84*a^13*b^18*c^6 + 36*a^14*b^18*c^7 + 9*a^15*b^18*c^8 + a^16*b^18*c^9) + ((b*((-b)^(3/4) + a*((-b)^(3/4) + ((-b)^(3/4)*c)/4)) + (a*(-b)^(3/4))/4)*((64*(-(b*x - 1)/(c + x))^(1/4)*(512*(-b)^(19/2) + a^5*(-b)^(9/2) + a^4*(-b)^(11/2) + 2*a^6*(-b)^(9/2) - 16*a^3*(-b)^(13/2) + 18*a^5*(-b)^(11/2) + a^7*(-b)^(9/2) - 144*a^2*(-b)^(15/2) - 176*a^4*(-b)^(13/2) + 49*a^6*(-b)^(11/2) - 576*a^3*(-b)^(15/2) - 560*a^5*(-b)^(13/2) + 48*a^7*(-b)^(11/2) + 2688*a^2*(-b)^(17/2) - 608*a^4*(-b)^(15/2) - 784*a^6*(-b)^(13/2) + 16*a^8*(-b)^(11/2) + 7680*a^3*(-b)^(17/2) + 448*a^5*(-b)^(15/2) - 512*a^7*(-b)^(13/2) + 7680*a^2*(-b)^(19/2) + 11520*a^4*(-b)^(17/2) + 1392*a^6*(-b)^(15/2) - 128*a^8*(-b)^(13/2) + 10240*a^3*(-b)^(19/2) + 9600*a^5*(-b)^(17/2) + 1024*a^7*(-b)^(15/2) + 7680*a^4*(-b)^(19/2) + 4224*a^6*(-b)^(17/2) + 256*a^8*(-b)^(15/2) + 3072*a^5*(-b)^(19/2) + 768*a^7*(-b)^(17/2) + 512*a^6*(-b)^(19/2) + 7680*(-b)^(23/2)*c^2 - 10240*(-b)^(25/2)*c^3 + 7680*(-b)^(27/2)*c^4 - 3072*(-b)^(29/2)*c^5 + 512*(-b)^(31/2)*c^6 + 384*a*(-b)^(17/2) + 3072*a*(-b)^(19/2) - 3072*(-b)^(21/2)*c + a^7*(-b)^(9/2)*c^2 - 35*a^6*(-b)^(11/2)*c^2 + 2*a^8*(-b)^(9/2)*c^2 + 265*a^5*(-b)^(13/2)*c^2 - 86*a^7*(-b)^(11/2)*c^2 + a^9*(-b)^(9/2)*c^2 - 851*a^4*(-b)^(15/2)*c^2 + 738*a^6*(-b)^(13/2)*c^2 - 10*a^7*(-b)^(11/2)*c^3 - 67*a^8*(-b)^(11/2)*c^2 + 2496*a^3*(-b)^(17/2)*c^2 - 2566*a^5*(-b)^(15/2)*c^2 + 224*a^6*(-b)^(13/2)*c^3 + 649*a^7*(-b)^(13/2)*c^2 - 20*a^8*(-b)^(11/2)*c^3 - 16*a^9*(-b)^(11/2)*c^2 - 5184*a^2*(-b)^(19/2)*c^2 + 10432*a^4*(-b)^(17/2)*c^2 - 1358*a^5*(-b)^(15/2)*c^3 - 1907*a^6*(-b)^(15/2)*c^2 + 592*a^7*(-b)^(13/2)*c^3 + 144*a^8*(-b)^(13/2)*c^2 - 10*a^9*(-b)^(11/2)*c^3 - 31104*a^3*(-b)^(19/2)*c^2 + 3784*a^4*(-b)^(17/2)*c^3 + 14912*a^5*(-b)^(17/2)*c^2 - 4364*a^6*(-b)^(15/2)*c^3 + 45*a^7*(-b)^(13/2)*c^4 + 1120*a^7*(-b)^(15/2)*c^2 + 512*a^8*(-b)^(13/2)*c^3 - 32*a^9*(-b)^(13/2)*c^2 + 1152*a^2*(-b)^(21/2)*c^2 - 7552*a^3*(-b)^(19/2)*c^3 - 74624*a^4*(-b)^(19/2)*c^2 + 14288*a^5*(-b)^(17/2)*c^3 - 771*a^6*(-b)^(15/2)*c^4 + 5824*a^6*(-b)^(17/2)*c^2 - 4974*a^7*(-b)^(15/2)*c^3 + 90*a^8*(-b)^(13/2)*c^4 + 1952*a^8*(-b)^(15/2)*c^2 + 144*a^9*(-b)^(13/2)*c^3 + 6912*a^2*(-b)^(21/2)*c^3 + 23040*a^3*(-b)^(21/2)*c^2 - 36800*a^4*(-b)^(19/2)*c^3 + 3874*a^5*(-b)^(17/2)*c^4 - 91136*a^5*(-b)^(19/2)*c^2 + 19144*a^6*(-b)^(17/2)*c^3 - 2118*a^7*(-b)^(15/2)*c^4 - 5120*a^7*(-b)^(17/2)*c^2 - 2288*a^8*(-b)^(15/2)*c^3 + 45*a^9*(-b)^(13/2)*c^4 + 640*a^9*(-b)^(15/2)*c^2 + 115200*a^2*(-b)^(23/2)*c^2 + 49536*a^3*(-b)^(21/2)*c^3 - 8750*a^4*(-b)^(19/2)*c^4 + 57600*a^4*(-b)^(21/2)*c^2 - 68032*a^5*(-b)^(19/2)*c^3 + 13444*a^6*(-b)^(17/2)*c^4 - 58944*a^6*(-b)^(19/2)*c^2 - 120*a^7*(-b)^(15/2)*c^5 + 9664*a^7*(-b)^(17/2)*c^3 - 1923*a^8*(-b)^(15/2)*c^4 - 5248*a^8*(-b)^(17/2)*c^2 - 320*a^9*(-b)^(15/2)*c^3 + 44160*a^2*(-b)^(23/2)*c^3 + 11040*a^3*(-b)^(21/2)*c^4 + 153600*a^3*(-b)^(23/2)*c^2 + 137728*a^4*(-b)^(21/2)*c^3 - 36988*a^5*(-b)^(19/2)*c^4 + 63360*a^5*(-b)^(21/2)*c^2 + 1644*a^6*(-b)^(17/2)*c^5 - 56512*a^6*(-b)^(19/2)*c^3 + 17058*a^7*(-b)^(17/2)*c^4 - 18560*a^7*(-b)^(19/2)*c^2 - 240*a^8*(-b)^(15/2)*c^5 + 128*a^8*(-b)^(17/2)*c^3 - 576*a^9*(-b)^(15/2)*c^4 - 1280*a^9*(-b)^(17/2)*c^2 - 480*a^2*(-b)^(23/2)*c^4 + 76800*a^3*(-b)^(23/2)*c^3 + 60640*a^4*(-b)^(21/2)*c^4 + 115200*a^4*(-b)^(23/2)*c^2 - 6776*a^5*(-b)^(19/2)*c^5 + 193792*a^5*(-b)^(21/2)*c^3 - 59150*a^6*(-b)^(19/2)*c^4 + 33408*a^6*(-b)^(21/2)*c^2 + 4632*a^7*(-b)^(17/2)*c^5 - 16064*a^7*(-b)^(19/2)*c^3 + 9280*a^8*(-b)^(17/2)*c^4 - 2048*a^8*(-b)^(19/2)*c^2 - 120*a^9*(-b)^(15/2)*c^5 - 896*a^9*(-b)^(17/2)*c^3 - 153600*a^2*(-b)^(25/2)*c^3 - 23040*a^3*(-b)^(23/2)*c^4 + 11620*a^4*(-b)^(21/2)*c^5 + 57600*a^4*(-b)^(23/2)*c^3 + 128864*a^5*(-b)^(21/2)*c^4 + 46080*a^5*(-b)^(23/2)*c^2 - 24752*a^6*(-b)^(19/2)*c^5 + 146688*a^6*(-b)^(21/2)*c^3 + 210*a^7*(-b)^(17/2)*c^6 - 43232*a^7*(-b)^(19/2)*c^4 + 6912*a^7*(-b)^(21/2)*c^2 + 4332*a^8*(-b)^(17/2)*c^5 + 3968*a^8*(-b)^(19/2)*c^3 + 1792*a^9*(-b)^(17/2)*c^4 - 90240*a^2*(-b)^(25/2)*c^4 - 7104*a^3*(-b)^(23/2)*c^5 - 204800*a^3*(-b)^(25/2)*c^3 - 100160*a^4*(-b)^(23/2)*c^4 + 53480*a^5*(-b)^(21/2)*c^5 + 9600*a^5*(-b)^(23/2)*c^3 - 2310*a^6*(-b)^(19/2)*c^6 + 131872*a^6*(-b)^(21/2)*c^4 + 7680*a^6*(-b)^(23/2)*c^2 - 33432*a^7*(-b)^(19/2)*c^5 + 56704*a^7*(-b)^(21/2)*c^3 + 420*a^8*(-b)^(17/2)*c^6 - 13216*a^8*(-b)^(19/2)*c^4 + 1344*a^9*(-b)^(17/2)*c^5 + 2304*a^9*(-b)^(19/2)*c^3 - 9216*a^2*(-b)^(25/2)*c^5 - 192000*a^3*(-b)^(25/2)*c^4 - 48224*a^4*(-b)^(23/2)*c^5 - 153600*a^4*(-b)^(25/2)*c^3 + 7546*a^5*(-b)^(21/2)*c^6 - 179840*a^5*(-b)^(23/2)*c^4 + 94948*a^6*(-b)^(21/2)*c^5 - 9600*a^6*(-b)^(23/2)*c^3 - 6636*a^7*(-b)^(19/2)*c^6 + 63232*a^7*(-b)^(21/2)*c^4 - 19712*a^8*(-b)^(19/2)*c^5 + 8704*a^8*(-b)^(21/2)*c^3 + 210*a^9*(-b)^(17/2)*c^6 - 896*a^9*(-b)^(19/2)*c^4 + 115200*a^2*(-b)^(27/2)*c^4 - 31104*a^3*(-b)^(25/2)*c^5 - 8750*a^4*(-b)^(23/2)*c^6 - 211200*a^4*(-b)^(25/2)*c^4 - 121120*a^5*(-b)^(23/2)*c^5 - 61440*a^5*(-b)^(25/2)*c^3 + 28756*a^6*(-b)^(21/2)*c^6 - 161760*a^6*(-b)^(23/2)*c^4 - 252*a^7*(-b)^(19/2)*c^7 + 80416*a^7*(-b)^(21/2)*c^5 - 3840*a^7*(-b)^(23/2)*c^3 - 6342*a^8*(-b)^(19/2)*c^6 + 9344*a^8*(-b)^(21/2)*c^4 - 4256*a^9*(-b)^(19/2)*c^5 + 81792*a^2*(-b)^(27/2)*c^5 - 832*a^3*(-b)^(25/2)*c^6 + 153600*a^3*(-b)^(27/2)*c^4 - 23552*a^4*(-b)^(25/2)*c^5 - 44380*a^5*(-b)^(23/2)*c^6 - 124800*a^5*(-b)^(25/2)*c^4 + 2184*a^6*(-b)^(21/2)*c^7 - 146336*a^6*(-b)^(23/2)*c^5 - 10240*a^6*(-b)^(25/2)*c^3 + 40698*a^7*(-b)^(21/2)*c^6 - 72320*a^7*(-b)^(23/2)*c^4 - 504*a^8*(-b)^(19/2)*c^7 + 31808*a^8*(-b)^(21/2)*c^5 - 2016*a^9*(-b)^(19/2)*c^6 - 1280*a^9*(-b)^(21/2)*c^4 + 10944*a^2*(-b)^(27/2)*c^6 + 184320*a^3*(-b)^(27/2)*c^5 + 8896*a^4*(-b)^(25/2)*c^6 + 115200*a^4*(-b)^(27/2)*c^4 - 5300*a^5*(-b)^(23/2)*c^7 + 32512*a^5*(-b)^(25/2)*c^5 - 86702*a^6*(-b)^(23/2)*c^6 - 36480*a^6*(-b)^(25/2)*c^4 + 6384*a^7*(-b)^(21/2)*c^7 - 87968*a^7*(-b)^(23/2)*c^5 + 25312*a^8*(-b)^(21/2)*c^6 - 12800*a^8*(-b)^(23/2)*c^4 - 252*a^9*(-b)^(19/2)*c^7 + 4480*a^9*(-b)^(21/2)*c^5 - 46080*a^2*(-b)^(29/2)*c^5 + 49536*a^3*(-b)^(27/2)*c^6 + 3016*a^4*(-b)^(25/2)*c^7 + 218880*a^4*(-b)^(27/2)*c^5 + 44864*a^5*(-b)^(25/2)*c^6 + 46080*a^5*(-b)^(27/2)*c^4 - 21128*a^6*(-b)^(23/2)*c^7 + 66048*a^6*(-b)^(25/2)*c^5 + 210*a^7*(-b)^(21/2)*c^8 - 81536*a^7*(-b)^(23/2)*c^6 - 3840*a^7*(-b)^(25/2)*c^4 + 6216*a^8*(-b)^(21/2)*c^7 - 22912*a^8*(-b)^(23/2)*c^5 + 5824*a^9*(-b)^(21/2)*c^6 - 36480*a^2*(-b)^(29/2)*c^6 + 4224*a^3*(-b)^(27/2)*c^7 - 61440*a^3*(-b)^(29/2)*c^5 + 86656*a^4*(-b)^(27/2)*c^6 + 18896*a^5*(-b)^(25/2)*c^7 + 144000*a^5*(-b)^(27/2)*c^5 - 1374*a^6*(-b)^(23/2)*c^8 + 75200*a^6*(-b)^(25/2)*c^6 + 7680*a^6*(-b)^(27/2)*c^4 - 31284*a^7*(-b)^(23/2)*c^7 + 40576*a^7*(-b)^(25/2)*c^5 + 420*a^8*(-b)^(21/2)*c^8 - 36736*a^8*(-b)^(23/2)*c^6 + 2016*a^9*(-b)^(21/2)*c^7 - 1280*a^9*(-b)^(23/2)*c^5 - 5376*a^2*(-b)^(29/2)*c^7 - 84480*a^3*(-b)^(29/2)*c^6 + 13888*a^4*(-b)^(27/2)*c^7 - 46080*a^4*(-b)^(29/2)*c^5 + 2173*a^5*(-b)^(25/2)*c^8 + 70144*a^5*(-b)^(27/2)*c^6 + 42952*a^6*(-b)^(25/2)*c^7 + 49536*a^6*(-b)^(27/2)*c^5 - 4092*a^7*(-b)^(23/2)*c^8 + 57856*a^7*(-b)^(25/2)*c^6 - 20384*a^8*(-b)^(23/2)*c^7 + 8704*a^8*(-b)^(25/2)*c^5 + 210*a^9*(-b)^(21/2)*c^8 - 6272*a^9*(-b)^(23/2)*c^6 + 7680*a^2*(-b)^(31/2)*c^6 - 26496*a^3*(-b)^(29/2)*c^7 + 301*a^4*(-b)^(27/2)*c^8 - 103680*a^4*(-b)^(29/2)*c^6 + 12608*a^5*(-b)^(27/2)*c^7 - 18432*a^5*(-b)^(29/2)*c^5 + 9274*a^6*(-b)^(25/2)*c^8 + 21696*a^6*(-b)^(27/2)*c^6 - 120*a^7*(-b)^(23/2)*c^9 + 45760*a^7*(-b)^(25/2)*c^7 + 6912*a^7*(-b)^(27/2)*c^5 - 4062*a^8*(-b)^(23/2)*c^8 + 20096*a^8*(-b)^(25/2)*c^6 - 4928*a^9*(-b)^(23/2)*c^7 + 6528*a^2*(-b)^(31/2)*c^7 - 2448*a^3*(-b)^(29/2)*c^8 + 10240*a^3*(-b)^(31/2)*c^6 - 52736*a^4*(-b)^(29/2)*c^7 - 1558*a^5*(-b)^(27/2)*c^8 - 71040*a^5*(-b)^(29/2)*c^6 + 546*a^6*(-b)^(25/2)*c^9 - 4544*a^6*(-b)^(27/2)*c^7 - 3072*a^6*(-b)^(29/2)*c^5 + 14589*a^7*(-b)^(25/2)*c^8 - 2432*a^7*(-b)^(27/2)*c^6 - 240*a^8*(-b)^(23/2)*c^9 + 23168*a^8*(-b)^(25/2)*c^7 - 1344*a^9*(-b)^(23/2)*c^8 + 2304*a^9*(-b)^(25/2)*c^6 + 1008*a^2*(-b)^(31/2)*c^8 + 15360*a^3*(-b)^(31/2)*c^7 - 10160*a^4*(-b)^(29/2)*c^8 + 7680*a^4*(-b)^(31/2)*c^6 - 384*a^5*(-b)^(27/2)*c^9 - 53504*a^5*(-b)^(29/2)*c^7 - 8099*a^6*(-b)^(27/2)*c^8 - 25728*a^6*(-b)^(29/2)*c^6 + 1668*a^7*(-b)^(25/2)*c^9 - 13760*a^7*(-b)^(27/2)*c^7 + 10048*a^8*(-b)^(25/2)*c^8 - 2048*a^8*(-b)^(27/2)*c^6 - 120*a^9*(-b)^(23/2)*c^9 + 4480*a^9*(-b)^(25/2)*c^7 + 5184*a^3*(-b)^(31/2)*c^8 - 570*a^4*(-b)^(29/2)*c^9 + 19200*a^4*(-b)^(31/2)*c^7 - 16048*a^5*(-b)^(29/2)*c^8 + 3072*a^5*(-b)^(31/2)*c^6 - 1984*a^6*(-b)^(27/2)*c^9 - 28416*a^6*(-b)^(29/2)*c^7 + 45*a^7*(-b)^(25/2)*c^10 - 11984*a^7*(-b)^(27/2)*c^8 - 3840*a^7*(-b)^(29/2)*c^6 + 1698*a^8*(-b)^(25/2)*c^9 - 7552*a^8*(-b)^(27/2)*c^7 + 2560*a^9*(-b)^(25/2)*c^8 + 480*a^3*(-b)^(31/2)*c^9 + 10912*a^4*(-b)^(31/2)*c^8 - 1732*a^5*(-b)^(29/2)*c^9 + 13440*a^5*(-b)^(31/2)*c^7 - 119*a^6*(-b)^(27/2)*c^10 - 11408*a^6*(-b)^(29/2)*c^8 + 512*a^6*(-b)^(31/2)*c^6 - 3568*a^7*(-b)^(27/2)*c^9 - 7040*a^7*(-b)^(29/2)*c^7 + 90*a^8*(-b)^(25/2)*c^10 - 7408*a^8*(-b)^(27/2)*c^8 + 576*a^9*(-b)^(25/2)*c^9 - 1280*a^9*(-b)^(27/2)*c^7 + 2160*a^4*(-b)^(31/2)*c^9 - 35*a^5*(-b)^(29/2)*c^10 + 11968*a^5*(-b)^(31/2)*c^8 - 1530*a^6*(-b)^(29/2)*c^9 + 4992*a^6*(-b)^(31/2)*c^7 - 382*a^7*(-b)^(27/2)*c^10 - 2816*a^7*(-b)^(29/2)*c^8 - 2720*a^8*(-b)^(27/2)*c^9 - 512*a^8*(-b)^(29/2)*c^7 + 45*a^9*(-b)^(25/2)*c^10 - 1664*a^9*(-b)^(27/2)*c^8 + 129*a^4*(-b)^(31/2)*c^10 + 3856*a^5*(-b)^(31/2)*c^9 + 10*a^6*(-b)^(29/2)*c^10 + 7152*a^6*(-b)^(31/2)*c^8 - 10*a^7*(-b)^(27/2)*c^11 + 112*a^7*(-b)^(29/2)*c^9 + 768*a^7*(-b)^(31/2)*c^7 - 407*a^8*(-b)^(27/2)*c^10 + 512*a^8*(-b)^(29/2)*c^8 - 752*a^9*(-b)^(27/2)*c^9 + 482*a^5*(-b)^(31/2)*c^10 + 8*a^6*(-b)^(29/2)*c^11 + 3408*a^6*(-b)^(31/2)*c^9 + 221*a^7*(-b)^(29/2)*c^10 + 2176*a^7*(-b)^(31/2)*c^8 - 20*a^8*(-b)^(27/2)*c^11 + 736*a^8*(-b)^(29/2)*c^9 - 144*a^9*(-b)^(27/2)*c^10 + 256*a^9*(-b)^(29/2)*c^8 + 18*a^5*(-b)^(31/2)*c^11 + 673*a^6*(-b)^(31/2)*c^10 + 32*a^7*(-b)^(29/2)*c^11 + 1488*a^7*(-b)^(31/2)*c^9 + 272*a^8*(-b)^(29/2)*c^10 + 256*a^8*(-b)^(31/2)*c^8 - 10*a^9*(-b)^(27/2)*c^11 + 256*a^9*(-b)^(29/2)*c^9 + 52*a^6*(-b)^(31/2)*c^11 + a^7*(-b)^(29/2)*c^12 + 416*a^7*(-b)^(31/2)*c^10 + 40*a^8*(-b)^(29/2)*c^11 + 256*a^8*(-b)^(31/2)*c^9 + 96*a^9*(-b)^(29/2)*c^10 + a^6*(-b)^(31/2)*c^12 + 50*a^7*(-b)^(31/2)*c^11 + 2*a^8*(-b)^(29/2)*c^12 + 96*a^8*(-b)^(31/2)*c^10 + 16*a^9*(-b)^(29/2)*c^11 + 2*a^7*(-b)^(31/2)*c^12 + 16*a^8*(-b)^(31/2)*c^11 + a^9*(-b)^(29/2)*c^12 + a^8*(-b)^(31/2)*c^12 - 1152*a*(-b)^(19/2)*c - 18432*a*(-b)^(21/2)*c + 2*a^6*(-b)^(9/2)*c - 24*a^5*(-b)^(11/2)*c + 4*a^7*(-b)^(9/2)*c + 70*a^4*(-b)^(13/2)*c - 48*a^6*(-b)^(11/2)*c + 2*a^8*(-b)^(9/2)*c - 288*a^3*(-b)^(15/2)*c + 60*a^5*(-b)^(13/2)*c - 8*a^7*(-b)^(11/2)*c + 1536*a^2*(-b)^(17/2)*c - 656*a^4*(-b)^(15/2)*c - 378*a^6*(-b)^(13/2)*c + 32*a^8*(-b)^(11/2)*c + 8064*a^3*(-b)^(17/2)*c + 656*a^5*(-b)^(15/2)*c - 784*a^7*(-b)^(13/2)*c + 16*a^9*(-b)^(11/2)*c - 9600*a^2*(-b)^(19/2)*c + 16384*a^4*(-b)^(17/2)*c + 3280*a^6*(-b)^(15/2)*c - 544*a^8*(-b)^(13/2)*c - 30720*a^3*(-b)^(19/2)*c + 15616*a^5*(-b)^(17/2)*c + 3664*a^7*(-b)^(15/2)*c - 128*a^9*(-b)^(13/2)*c - 1152*a*(-b)^(21/2)*c^2 - 46080*a^2*(-b)^(21/2)*c - 49920*a^4*(-b)^(19/2)*c + 6144*a^6*(-b)^(17/2)*c + 1664*a^8*(-b)^(15/2)*c - 61440*a^3*(-b)^(21/2)*c - 44160*a^5*(-b)^(19/2)*c - 128*a^7*(-b)^(17/2)*c + 256*a^9*(-b)^(15/2)*c + 46080*a*(-b)^(23/2)*c^2 - 46080*a^4*(-b)^(21/2)*c - 20352*a^6*(-b)^(19/2)*c - 512*a^8*(-b)^(17/2)*c + 9600*a*(-b)^(23/2)*c^3 - 18432*a^5*(-b)^(21/2)*c - 3840*a^7*(-b)^(19/2)*c - 3072*a^6*(-b)^(21/2)*c - 61440*a*(-b)^(25/2)*c^3 - 17280*a*(-b)^(25/2)*c^4 + 46080*a*(-b)^(27/2)*c^4 + 14976*a*(-b)^(27/2)*c^5 - 18432*a*(-b)^(29/2)*c^5 - 6528*a*(-b)^(29/2)*c^6 + 3072*a*(-b)^(31/2)*c^6 + 1152*a*(-b)^(31/2)*c^7))/((-b)^(1/4)*(a^6*b^17 + 9*a^7*b^17*c + 36*a^8*b^17*c^2 + 84*a^9*b^17*c^3 + 126*a^10*b^17*c^4 + 126*a^11*b^17*c^5 + 84*a^12*b^17*c^6 + 36*a^13*b^17*c^7 + 9*a^14*b^17*c^8 + a^15*b^17*c^9)) + (((64*(36*a^12*(-b)^(25/4) - 4*a^13*(-b)^(21/4) + 48*a^13*(-b)^(25/4) - 60*a^11*(-b)^(29/4) - 240*a^12*(-b)^(29/4) - 192*a^13*(-b)^(29/4) - 180*a^10*(-b)^(33/4) - 240*a^11*(-b)^(33/4) + 192*a^12*(-b)^(33/4) + 240*a^9*(-b)^(37/4) + 256*a^13*(-b)^(33/4) + 1200*a^10*(-b)^(37/4) + 1728*a^11*(-b)^(37/4) + 320*a^8*(-b)^(41/4) + 768*a^12*(-b)^(37/4) + 1152*a^9*(-b)^(41/4) + 1344*a^10*(-b)^(41/4) + 512*a^11*(-b)^(41/4) - 144*a^13*(-b)^(29/4)*c^2 + 912*a^12*(-b)^(33/4)*c^2 + 1344*a^13*(-b)^(33/4)*c^2 + 336*a^13*(-b)^(33/4)*c^3 - 432*a^11*(-b)^(37/4)*c^2 - 4032*a^12*(-b)^(37/4)*c^2 - 1680*a^12*(-b)^(37/4)*c^3 - 4032*a^13*(-b)^(37/4)*c^2 - 4624*a^10*(-b)^(41/4)*c^2 - 2688*a^13*(-b)^(37/4)*c^3 - 9408*a^11*(-b)^(41/4)*c^2 - 504*a^13*(-b)^(37/4)*c^4 - 336*a^11*(-b)^(41/4)*c^3 - 1344*a^12*(-b)^(41/4)*c^2 + 3584*a^9*(-b)^(45/4)*c^2 + 5376*a^12*(-b)^(41/4)*c^3 + 3584*a^13*(-b)^(41/4)*c^2 + 20160*a^10*(-b)^(45/4)*c^2 + 1848*a^12*(-b)^(41/4)*c^4 + 6720*a^13*(-b)^(41/4)*c^3 + 8848*a^10*(-b)^(45/4)*c^3 + 30912*a^11*(-b)^(45/4)*c^2 + 3360*a^13*(-b)^(41/4)*c^4 + 6720*a^8*(-b)^(49/4)*c^2 + 21504*a^11*(-b)^(45/4)*c^3 + 14336*a^12*(-b)^(45/4)*c^2 + 504*a^13*(-b)^(41/4)*c^5 + 24192*a^9*(-b)^(49/4)*c^2 + 1848*a^11*(-b)^(45/4)*c^4 + 9408*a^12*(-b)^(45/4)*c^3 - 4032*a^9*(-b)^(49/4)*c^3 + 28224*a^10*(-b)^(49/4)*c^2 - 3360*a^12*(-b)^(45/4)*c^4 - 3584*a^13*(-b)^(45/4)*c^3 - 26880*a^10*(-b)^(49/4)*c^3 + 10752*a^11*(-b)^(49/4)*c^2 - 1176*a^12*(-b)^(45/4)*c^5 - 6720*a^13*(-b)^(45/4)*c^4 - 10584*a^10*(-b)^(49/4)*c^4 - 44352*a^11*(-b)^(49/4)*c^3 - 2688*a^13*(-b)^(45/4)*c^5 - 11200*a^8*(-b)^(53/4)*c^3 - 30240*a^11*(-b)^(49/4)*c^4 - 21504*a^12*(-b)^(49/4)*c^3 - 336*a^13*(-b)^(45/4)*c^6 - 40320*a^9*(-b)^(53/4)*c^3 - 2520*a^11*(-b)^(49/4)*c^5 - 20160*a^12*(-b)^(49/4)*c^4 + 1120*a^9*(-b)^(53/4)*c^4 - 47040*a^10*(-b)^(53/4)*c^3 + 16800*a^10*(-b)^(53/4)*c^4 - 17920*a^11*(-b)^(53/4)*c^3 + 336*a^12*(-b)^(49/4)*c^6 + 4032*a^13*(-b)^(49/4)*c^5 + 8120*a^10*(-b)^(53/4)*c^5 + 33600*a^11*(-b)^(53/4)*c^4 + 1344*a^13*(-b)^(49/4)*c^6 + 11200*a^8*(-b)^(57/4)*c^4 + 26880*a^11*(-b)^(53/4)*c^5 + 17920*a^12*(-b)^(53/4)*c^4 + 144*a^13*(-b)^(49/4)*c^7 + 40320*a^9*(-b)^(57/4)*c^4 + 1680*a^11*(-b)^(53/4)*c^6 + 22848*a^12*(-b)^(53/4)*c^5 + 2240*a^9*(-b)^(57/4)*c^5 + 47040*a^10*(-b)^(57/4)*c^4 + 1344*a^12*(-b)^(53/4)*c^6 + 3584*a^13*(-b)^(53/4)*c^5 + 17920*a^11*(-b)^(57/4)*c^4 + 48*a^12*(-b)^(53/4)*c^7 - 1344*a^13*(-b)^(53/4)*c^6 - 3920*a^10*(-b)^(57/4)*c^6 - 9408*a^11*(-b)^(57/4)*c^5 - 384*a^13*(-b)^(53/4)*c^7 - 6720*a^8*(-b)^(61/4)*c^5 - 14784*a^11*(-b)^(57/4)*c^6 - 7168*a^12*(-b)^(57/4)*c^5 - 36*a^13*(-b)^(53/4)*c^8 - 24192*a^9*(-b)^(61/4)*c^5 - 528*a^11*(-b)^(57/4)*c^7 - 14784*a^12*(-b)^(57/4)*c^6 - 2688*a^9*(-b)^(61/4)*c^6 - 28224*a^10*(-b)^(61/4)*c^5 - 768*a^12*(-b)^(57/4)*c^7 - 3584*a^13*(-b)^(57/4)*c^6 - 6720*a^10*(-b)^(61/4)*c^6 - 10752*a^11*(-b)^(61/4)*c^5 - 60*a^12*(-b)^(57/4)*c^8 + 192*a^13*(-b)^(57/4)*c^7 + 1104*a^10*(-b)^(61/4)*c^7 - 4032*a^11*(-b)^(61/4)*c^6 + 48*a^13*(-b)^(57/4)*c^8 + 2240*a^8*(-b)^(65/4)*c^6 + 4608*a^11*(-b)^(61/4)*c^7 + 4*a^13*(-b)^(57/4)*c^9 + 8064*a^9*(-b)^(65/4)*c^6 + 36*a^11*(-b)^(61/4)*c^8 + 5184*a^12*(-b)^(61/4)*c^7 + 1216*a^9*(-b)^(65/4)*c^7 + 9408*a^10*(-b)^(65/4)*c^6 + 144*a^12*(-b)^(61/4)*c^8 + 1536*a^13*(-b)^(61/4)*c^7 + 3840*a^10*(-b)^(65/4)*c^7 + 3584*a^11*(-b)^(65/4)*c^6 + 12*a^12*(-b)^(61/4)*c^9 - 148*a^10*(-b)^(65/4)*c^8 + 3648*a^11*(-b)^(65/4)*c^7 - 320*a^8*(-b)^(69/4)*c^7 - 624*a^11*(-b)^(65/4)*c^8 + 1024*a^12*(-b)^(65/4)*c^7 - 1152*a^9*(-b)^(69/4)*c^7 + 12*a^11*(-b)^(65/4)*c^9 - 768*a^12*(-b)^(65/4)*c^8 - 208*a^9*(-b)^(69/4)*c^8 - 1344*a^10*(-b)^(69/4)*c^7 - 256*a^13*(-b)^(65/4)*c^8 - 720*a^10*(-b)^(69/4)*c^8 - 512*a^11*(-b)^(69/4)*c^7 + 4*a^10*(-b)^(69/4)*c^9 - 768*a^11*(-b)^(69/4)*c^8 - 256*a^12*(-b)^(69/4)*c^8 + 36*a^13*(-b)^(25/4)*c - 276*a^12*(-b)^(29/4)*c - 384*a^13*(-b)^(29/4)*c + 300*a^11*(-b)^(33/4)*c + 1536*a^12*(-b)^(33/4)*c + 1344*a^13*(-b)^(33/4)*c + 1380*a^10*(-b)^(37/4)*c + 2304*a^11*(-b)^(37/4)*c - 576*a^12*(-b)^(37/4)*c - 1472*a^9*(-b)^(41/4)*c - 1536*a^13*(-b)^(37/4)*c - 7680*a^10*(-b)^(41/4)*c - 11328*a^11*(-b)^(41/4)*c - 2240*a^8*(-b)^(45/4)*c - 5120*a^12*(-b)^(41/4)*c - 8064*a^9*(-b)^(45/4)*c - 9408*a^10*(-b)^(45/4)*c - 3584*a^11*(-b)^(45/4)*c))/(a^7*b^18 + 9*a^8*b^18*c + 36*a^9*b^18*c^2 + 84*a^10*b^18*c^3 + 126*a^11*b^18*c^4 + 126*a^12*b^18*c^5 + 84*a^13*b^18*c^6 + 36*a^14*b^18*c^7 + 9*a^15*b^18*c^8 + a^16*b^18*c^9) - (64*(-(b*x - 1)/(c + x))^(1/4)*(b*((-b)^(3/4) + a*((-b)^(3/4) + ((-b)^(3/4)*c)/4)) + (a*(-b)^(3/4))/4)*(16*a^13*(-b)^(11/2) - 80*a^12*(-b)^(13/2) - 80*a^11*(-b)^(15/2) - 128*a^13*(-b)^(13/2) + 400*a^10*(-b)^(17/2) + 128*a^12*(-b)^(15/2) + 896*a^9*(-b)^(19/2) + 1152*a^11*(-b)^(17/2) + 256*a^13*(-b)^(15/2) + 512*a^8*(-b)^(21/2) + 1920*a^10*(-b)^(19/2) + 768*a^12*(-b)^(17/2) + 1024*a^9*(-b)^(21/2) + 1024*a^11*(-b)^(19/2) + 512*a^10*(-b)^(21/2) + 448*a^13*(-b)^(15/2)*c^2 - 1344*a^12*(-b)^(17/2)*c^2 - 2624*a^11*(-b)^(19/2)*c^2 - 2688*a^13*(-b)^(17/2)*c^2 + 1088*a^10*(-b)^(21/2)*c^2 + 128*a^12*(-b)^(19/2)*c^2 - 896*a^13*(-b)^(17/2)*c^3 + 9600*a^9*(-b)^(23/2)*c^2 + 9344*a^11*(-b)^(21/2)*c^2 + 1792*a^12*(-b)^(19/2)*c^3 + 4096*a^13*(-b)^(19/2)*c^2 + 7680*a^8*(-b)^(25/2)*c^2 + 21888*a^10*(-b)^(23/2)*c^2 + 4096*a^11*(-b)^(21/2)*c^3 + 8704*a^12*(-b)^(21/2)*c^2 + 4480*a^13*(-b)^(19/2)*c^3 + 15360*a^9*(-b)^(25/2)*c^2 + 3328*a^10*(-b)^(23/2)*c^3 + 12288*a^11*(-b)^(23/2)*c^2 + 128*a^12*(-b)^(21/2)*c^3 + 1120*a^13*(-b)^(19/2)*c^4 - 8320*a^9*(-b)^(25/2)*c^3 + 7680*a^10*(-b)^(25/2)*c^2 - 4992*a^11*(-b)^(23/2)*c^3 - 1120*a^12*(-b)^(21/2)*c^4 - 6656*a^13*(-b)^(21/2)*c^3 - 10240*a^8*(-b)^(27/2)*c^3 - 21120*a^10*(-b)^(25/2)*c^3 - 2400*a^11*(-b)^(23/2)*c^4 - 9216*a^12*(-b)^(23/2)*c^3 - 4480*a^13*(-b)^(21/2)*c^4 - 20480*a^9*(-b)^(27/2)*c^3 - 7200*a^10*(-b)^(25/2)*c^4 - 12800*a^11*(-b)^(25/2)*c^3 + 1920*a^12*(-b)^(23/2)*c^4 - 896*a^13*(-b)^(21/2)*c^5 + 640*a^9*(-b)^(27/2)*c^4 - 10240*a^10*(-b)^(27/2)*c^3 - 3200*a^11*(-b)^(25/2)*c^4 + 7680*a^13*(-b)^(23/2)*c^4 + 7680*a^8*(-b)^(29/2)*c^4 + 5760*a^10*(-b)^(27/2)*c^4 - 1280*a^11*(-b)^(25/2)*c^5 + 5120*a^12*(-b)^(25/2)*c^4 + 2688*a^13*(-b)^(23/2)*c^5 + 15360*a^9*(-b)^(29/2)*c^4 + 5120*a^10*(-b)^(27/2)*c^5 + 5120*a^11*(-b)^(27/2)*c^4 - 5248*a^12*(-b)^(25/2)*c^5 + 448*a^13*(-b)^(23/2)*c^6 + 4224*a^9*(-b)^(29/2)*c^5 + 7680*a^10*(-b)^(29/2)*c^4 + 3968*a^11*(-b)^(27/2)*c^5 + 448*a^12*(-b)^(25/2)*c^6 - 6656*a^13*(-b)^(25/2)*c^5 - 3072*a^8*(-b)^(31/2)*c^5 + 5760*a^10*(-b)^(29/2)*c^5 + 2752*a^11*(-b)^(27/2)*c^6 - 2048*a^12*(-b)^(27/2)*c^5 - 896*a^13*(-b)^(25/2)*c^6 - 6144*a^9*(-b)^(31/2)*c^5 - 704*a^10*(-b)^(29/2)*c^6 + 1536*a^11*(-b)^(29/2)*c^5 + 5504*a^12*(-b)^(27/2)*c^6 - 128*a^13*(-b)^(25/2)*c^7 - 2944*a^9*(-b)^(31/2)*c^6 - 3072*a^10*(-b)^(31/2)*c^5 + 384*a^11*(-b)^(29/2)*c^6 - 256*a^12*(-b)^(27/2)*c^7 + 4096*a^13*(-b)^(27/2)*c^6 + 512*a^8*(-b)^(33/2)*c^6 - 4992*a^10*(-b)^(31/2)*c^6 - 1536*a^11*(-b)^(29/2)*c^7 + 1536*a^12*(-b)^(29/2)*c^6 + 128*a^13*(-b)^(27/2)*c^7 + 1024*a^9*(-b)^(33/2)*c^6 - 768*a^10*(-b)^(31/2)*c^7 - 2048*a^11*(-b)^(31/2)*c^6 - 2688*a^12*(-b)^(29/2)*c^7 + 16*a^13*(-b)^(27/2)*c^8 + 640*a^9*(-b)^(33/2)*c^7 + 512*a^10*(-b)^(33/2)*c^6 - 1664*a^11*(-b)^(31/2)*c^7 + 48*a^12*(-b)^(29/2)*c^8 - 1536*a^13*(-b)^(29/2)*c^7 + 1152*a^10*(-b)^(33/2)*c^7 + 304*a^11*(-b)^(31/2)*c^8 - 1024*a^12*(-b)^(31/2)*c^7 + 272*a^10*(-b)^(33/2)*c^8 + 512*a^11*(-b)^(33/2)*c^7 + 512*a^12*(-b)^(31/2)*c^8 + 512*a^11*(-b)^(33/2)*c^8 + 256*a^13*(-b)^(31/2)*c^8 + 256*a^12*(-b)^(33/2)*c^8 - 128*a^13*(-b)^(13/2)*c + 512*a^12*(-b)^(15/2)*c + 768*a^11*(-b)^(17/2)*c + 896*a^13*(-b)^(15/2)*c - 1536*a^10*(-b)^(19/2)*c - 384*a^12*(-b)^(17/2)*c - 4736*a^9*(-b)^(21/2)*c - 5504*a^11*(-b)^(19/2)*c - 1536*a^13*(-b)^(17/2)*c - 3072*a^8*(-b)^(23/2)*c - 10368*a^10*(-b)^(21/2)*c - 4096*a^12*(-b)^(19/2)*c - 6144*a^9*(-b)^(23/2)*c - 5632*a^11*(-b)^(21/2)*c - 3072*a^10*(-b)^(23/2)*c))/(a^2*(-b)^(9/4)*(a^6*b^17 + 9*a^7*b^17*c + 36*a^8*b^17*c^2 + 84*a^9*b^17*c^3 + 126*a^10*b^17*c^4 + 126*a^11*b^17*c^5 + 84*a^12*b^17*c^6 + 36*a^13*b^17*c^7 + 9*a^14*b^17*c^8 + a^15*b^17*c^9)))*(b*((-b)^(3/4) + a*((-b)^(3/4) + ((-b)^(3/4)*c)/4)) + (a*(-b)^(3/4))/4)^3)/(a^6*b^6)))/(a^2*b^2) - ((b*((-b)^(3/4) + a*((-b)^(3/4) + ((-b)^(3/4)*c)/4)) + (a*(-b)^(3/4))/4)*((64*(-(b*x - 1)/(c + x))^(1/4)*(512*(-b)^(19/2) + a^5*(-b)^(9/2) + a^4*(-b)^(11/2) + 2*a^6*(-b)^(9/2) - 16*a^3*(-b)^(13/2) + 18*a^5*(-b)^(11/2) + a^7*(-b)^(9/2) - 144*a^2*(-b)^(15/2) - 176*a^4*(-b)^(13/2) + 49*a^6*(-b)^(11/2) - 576*a^3*(-b)^(15/2) - 560*a^5*(-b)^(13/2) + 48*a^7*(-b)^(11/2) + 2688*a^2*(-b)^(17/2) - 608*a^4*(-b)^(15/2) - 784*a^6*(-b)^(13/2) + 16*a^8*(-b)^(11/2) + 7680*a^3*(-b)^(17/2) + 448*a^5*(-b)^(15/2) - 512*a^7*(-b)^(13/2) + 7680*a^2*(-b)^(19/2) + 11520*a^4*(-b)^(17/2) + 1392*a^6*(-b)^(15/2) - 128*a^8*(-b)^(13/2) + 10240*a^3*(-b)^(19/2) + 9600*a^5*(-b)^(17/2) + 1024*a^7*(-b)^(15/2) + 7680*a^4*(-b)^(19/2) + 4224*a^6*(-b)^(17/2) + 256*a^8*(-b)^(15/2) + 3072*a^5*(-b)^(19/2) + 768*a^7*(-b)^(17/2) + 512*a^6*(-b)^(19/2) + 7680*(-b)^(23/2)*c^2 - 10240*(-b)^(25/2)*c^3 + 7680*(-b)^(27/2)*c^4 - 3072*(-b)^(29/2)*c^5 + 512*(-b)^(31/2)*c^6 + 384*a*(-b)^(17/2) + 3072*a*(-b)^(19/2) - 3072*(-b)^(21/2)*c + a^7*(-b)^(9/2)*c^2 - 35*a^6*(-b)^(11/2)*c^2 + 2*a^8*(-b)^(9/2)*c^2 + 265*a^5*(-b)^(13/2)*c^2 - 86*a^7*(-b)^(11/2)*c^2 + a^9*(-b)^(9/2)*c^2 - 851*a^4*(-b)^(15/2)*c^2 + 738*a^6*(-b)^(13/2)*c^2 - 10*a^7*(-b)^(11/2)*c^3 - 67*a^8*(-b)^(11/2)*c^2 + 2496*a^3*(-b)^(17/2)*c^2 - 2566*a^5*(-b)^(15/2)*c^2 + 224*a^6*(-b)^(13/2)*c^3 + 649*a^7*(-b)^(13/2)*c^2 - 20*a^8*(-b)^(11/2)*c^3 - 16*a^9*(-b)^(11/2)*c^2 - 5184*a^2*(-b)^(19/2)*c^2 + 10432*a^4*(-b)^(17/2)*c^2 - 1358*a^5*(-b)^(15/2)*c^3 - 1907*a^6*(-b)^(15/2)*c^2 + 592*a^7*(-b)^(13/2)*c^3 + 144*a^8*(-b)^(13/2)*c^2 - 10*a^9*(-b)^(11/2)*c^3 - 31104*a^3*(-b)^(19/2)*c^2 + 3784*a^4*(-b)^(17/2)*c^3 + 14912*a^5*(-b)^(17/2)*c^2 - 4364*a^6*(-b)^(15/2)*c^3 + 45*a^7*(-b)^(13/2)*c^4 + 1120*a^7*(-b)^(15/2)*c^2 + 512*a^8*(-b)^(13/2)*c^3 - 32*a^9*(-b)^(13/2)*c^2 + 1152*a^2*(-b)^(21/2)*c^2 - 7552*a^3*(-b)^(19/2)*c^3 - 74624*a^4*(-b)^(19/2)*c^2 + 14288*a^5*(-b)^(17/2)*c^3 - 771*a^6*(-b)^(15/2)*c^4 + 5824*a^6*(-b)^(17/2)*c^2 - 4974*a^7*(-b)^(15/2)*c^3 + 90*a^8*(-b)^(13/2)*c^4 + 1952*a^8*(-b)^(15/2)*c^2 + 144*a^9*(-b)^(13/2)*c^3 + 6912*a^2*(-b)^(21/2)*c^3 + 23040*a^3*(-b)^(21/2)*c^2 - 36800*a^4*(-b)^(19/2)*c^3 + 3874*a^5*(-b)^(17/2)*c^4 - 91136*a^5*(-b)^(19/2)*c^2 + 19144*a^6*(-b)^(17/2)*c^3 - 2118*a^7*(-b)^(15/2)*c^4 - 5120*a^7*(-b)^(17/2)*c^2 - 2288*a^8*(-b)^(15/2)*c^3 + 45*a^9*(-b)^(13/2)*c^4 + 640*a^9*(-b)^(15/2)*c^2 + 115200*a^2*(-b)^(23/2)*c^2 + 49536*a^3*(-b)^(21/2)*c^3 - 8750*a^4*(-b)^(19/2)*c^4 + 57600*a^4*(-b)^(21/2)*c^2 - 68032*a^5*(-b)^(19/2)*c^3 + 13444*a^6*(-b)^(17/2)*c^4 - 58944*a^6*(-b)^(19/2)*c^2 - 120*a^7*(-b)^(15/2)*c^5 + 9664*a^7*(-b)^(17/2)*c^3 - 1923*a^8*(-b)^(15/2)*c^4 - 5248*a^8*(-b)^(17/2)*c^2 - 320*a^9*(-b)^(15/2)*c^3 + 44160*a^2*(-b)^(23/2)*c^3 + 11040*a^3*(-b)^(21/2)*c^4 + 153600*a^3*(-b)^(23/2)*c^2 + 137728*a^4*(-b)^(21/2)*c^3 - 36988*a^5*(-b)^(19/2)*c^4 + 63360*a^5*(-b)^(21/2)*c^2 + 1644*a^6*(-b)^(17/2)*c^5 - 56512*a^6*(-b)^(19/2)*c^3 + 17058*a^7*(-b)^(17/2)*c^4 - 18560*a^7*(-b)^(19/2)*c^2 - 240*a^8*(-b)^(15/2)*c^5 + 128*a^8*(-b)^(17/2)*c^3 - 576*a^9*(-b)^(15/2)*c^4 - 1280*a^9*(-b)^(17/2)*c^2 - 480*a^2*(-b)^(23/2)*c^4 + 76800*a^3*(-b)^(23/2)*c^3 + 60640*a^4*(-b)^(21/2)*c^4 + 115200*a^4*(-b)^(23/2)*c^2 - 6776*a^5*(-b)^(19/2)*c^5 + 193792*a^5*(-b)^(21/2)*c^3 - 59150*a^6*(-b)^(19/2)*c^4 + 33408*a^6*(-b)^(21/2)*c^2 + 4632*a^7*(-b)^(17/2)*c^5 - 16064*a^7*(-b)^(19/2)*c^3 + 9280*a^8*(-b)^(17/2)*c^4 - 2048*a^8*(-b)^(19/2)*c^2 - 120*a^9*(-b)^(15/2)*c^5 - 896*a^9*(-b)^(17/2)*c^3 - 153600*a^2*(-b)^(25/2)*c^3 - 23040*a^3*(-b)^(23/2)*c^4 + 11620*a^4*(-b)^(21/2)*c^5 + 57600*a^4*(-b)^(23/2)*c^3 + 128864*a^5*(-b)^(21/2)*c^4 + 46080*a^5*(-b)^(23/2)*c^2 - 24752*a^6*(-b)^(19/2)*c^5 + 146688*a^6*(-b)^(21/2)*c^3 + 210*a^7*(-b)^(17/2)*c^6 - 43232*a^7*(-b)^(19/2)*c^4 + 6912*a^7*(-b)^(21/2)*c^2 + 4332*a^8*(-b)^(17/2)*c^5 + 3968*a^8*(-b)^(19/2)*c^3 + 1792*a^9*(-b)^(17/2)*c^4 - 90240*a^2*(-b)^(25/2)*c^4 - 7104*a^3*(-b)^(23/2)*c^5 - 204800*a^3*(-b)^(25/2)*c^3 - 100160*a^4*(-b)^(23/2)*c^4 + 53480*a^5*(-b)^(21/2)*c^5 + 9600*a^5*(-b)^(23/2)*c^3 - 2310*a^6*(-b)^(19/2)*c^6 + 131872*a^6*(-b)^(21/2)*c^4 + 7680*a^6*(-b)^(23/2)*c^2 - 33432*a^7*(-b)^(19/2)*c^5 + 56704*a^7*(-b)^(21/2)*c^3 + 420*a^8*(-b)^(17/2)*c^6 - 13216*a^8*(-b)^(19/2)*c^4 + 1344*a^9*(-b)^(17/2)*c^5 + 2304*a^9*(-b)^(19/2)*c^3 - 9216*a^2*(-b)^(25/2)*c^5 - 192000*a^3*(-b)^(25/2)*c^4 - 48224*a^4*(-b)^(23/2)*c^5 - 153600*a^4*(-b)^(25/2)*c^3 + 7546*a^5*(-b)^(21/2)*c^6 - 179840*a^5*(-b)^(23/2)*c^4 + 94948*a^6*(-b)^(21/2)*c^5 - 9600*a^6*(-b)^(23/2)*c^3 - 6636*a^7*(-b)^(19/2)*c^6 + 63232*a^7*(-b)^(21/2)*c^4 - 19712*a^8*(-b)^(19/2)*c^5 + 8704*a^8*(-b)^(21/2)*c^3 + 210*a^9*(-b)^(17/2)*c^6 - 896*a^9*(-b)^(19/2)*c^4 + 115200*a^2*(-b)^(27/2)*c^4 - 31104*a^3*(-b)^(25/2)*c^5 - 8750*a^4*(-b)^(23/2)*c^6 - 211200*a^4*(-b)^(25/2)*c^4 - 121120*a^5*(-b)^(23/2)*c^5 - 61440*a^5*(-b)^(25/2)*c^3 + 28756*a^6*(-b)^(21/2)*c^6 - 161760*a^6*(-b)^(23/2)*c^4 - 252*a^7*(-b)^(19/2)*c^7 + 80416*a^7*(-b)^(21/2)*c^5 - 3840*a^7*(-b)^(23/2)*c^3 - 6342*a^8*(-b)^(19/2)*c^6 + 9344*a^8*(-b)^(21/2)*c^4 - 4256*a^9*(-b)^(19/2)*c^5 + 81792*a^2*(-b)^(27/2)*c^5 - 832*a^3*(-b)^(25/2)*c^6 + 153600*a^3*(-b)^(27/2)*c^4 - 23552*a^4*(-b)^(25/2)*c^5 - 44380*a^5*(-b)^(23/2)*c^6 - 124800*a^5*(-b)^(25/2)*c^4 + 2184*a^6*(-b)^(21/2)*c^7 - 146336*a^6*(-b)^(23/2)*c^5 - 10240*a^6*(-b)^(25/2)*c^3 + 40698*a^7*(-b)^(21/2)*c^6 - 72320*a^7*(-b)^(23/2)*c^4 - 504*a^8*(-b)^(19/2)*c^7 + 31808*a^8*(-b)^(21/2)*c^5 - 2016*a^9*(-b)^(19/2)*c^6 - 1280*a^9*(-b)^(21/2)*c^4 + 10944*a^2*(-b)^(27/2)*c^6 + 184320*a^3*(-b)^(27/2)*c^5 + 8896*a^4*(-b)^(25/2)*c^6 + 115200*a^4*(-b)^(27/2)*c^4 - 5300*a^5*(-b)^(23/2)*c^7 + 32512*a^5*(-b)^(25/2)*c^5 - 86702*a^6*(-b)^(23/2)*c^6 - 36480*a^6*(-b)^(25/2)*c^4 + 6384*a^7*(-b)^(21/2)*c^7 - 87968*a^7*(-b)^(23/2)*c^5 + 25312*a^8*(-b)^(21/2)*c^6 - 12800*a^8*(-b)^(23/2)*c^4 - 252*a^9*(-b)^(19/2)*c^7 + 4480*a^9*(-b)^(21/2)*c^5 - 46080*a^2*(-b)^(29/2)*c^5 + 49536*a^3*(-b)^(27/2)*c^6 + 3016*a^4*(-b)^(25/2)*c^7 + 218880*a^4*(-b)^(27/2)*c^5 + 44864*a^5*(-b)^(25/2)*c^6 + 46080*a^5*(-b)^(27/2)*c^4 - 21128*a^6*(-b)^(23/2)*c^7 + 66048*a^6*(-b)^(25/2)*c^5 + 210*a^7*(-b)^(21/2)*c^8 - 81536*a^7*(-b)^(23/2)*c^6 - 3840*a^7*(-b)^(25/2)*c^4 + 6216*a^8*(-b)^(21/2)*c^7 - 22912*a^8*(-b)^(23/2)*c^5 + 5824*a^9*(-b)^(21/2)*c^6 - 36480*a^2*(-b)^(29/2)*c^6 + 4224*a^3*(-b)^(27/2)*c^7 - 61440*a^3*(-b)^(29/2)*c^5 + 86656*a^4*(-b)^(27/2)*c^6 + 18896*a^5*(-b)^(25/2)*c^7 + 144000*a^5*(-b)^(27/2)*c^5 - 1374*a^6*(-b)^(23/2)*c^8 + 75200*a^6*(-b)^(25/2)*c^6 + 7680*a^6*(-b)^(27/2)*c^4 - 31284*a^7*(-b)^(23/2)*c^7 + 40576*a^7*(-b)^(25/2)*c^5 + 420*a^8*(-b)^(21/2)*c^8 - 36736*a^8*(-b)^(23/2)*c^6 + 2016*a^9*(-b)^(21/2)*c^7 - 1280*a^9*(-b)^(23/2)*c^5 - 5376*a^2*(-b)^(29/2)*c^7 - 84480*a^3*(-b)^(29/2)*c^6 + 13888*a^4*(-b)^(27/2)*c^7 - 46080*a^4*(-b)^(29/2)*c^5 + 2173*a^5*(-b)^(25/2)*c^8 + 70144*a^5*(-b)^(27/2)*c^6 + 42952*a^6*(-b)^(25/2)*c^7 + 49536*a^6*(-b)^(27/2)*c^5 - 4092*a^7*(-b)^(23/2)*c^8 + 57856*a^7*(-b)^(25/2)*c^6 - 20384*a^8*(-b)^(23/2)*c^7 + 8704*a^8*(-b)^(25/2)*c^5 + 210*a^9*(-b)^(21/2)*c^8 - 6272*a^9*(-b)^(23/2)*c^6 + 7680*a^2*(-b)^(31/2)*c^6 - 26496*a^3*(-b)^(29/2)*c^7 + 301*a^4*(-b)^(27/2)*c^8 - 103680*a^4*(-b)^(29/2)*c^6 + 12608*a^5*(-b)^(27/2)*c^7 - 18432*a^5*(-b)^(29/2)*c^5 + 9274*a^6*(-b)^(25/2)*c^8 + 21696*a^6*(-b)^(27/2)*c^6 - 120*a^7*(-b)^(23/2)*c^9 + 45760*a^7*(-b)^(25/2)*c^7 + 6912*a^7*(-b)^(27/2)*c^5 - 4062*a^8*(-b)^(23/2)*c^8 + 20096*a^8*(-b)^(25/2)*c^6 - 4928*a^9*(-b)^(23/2)*c^7 + 6528*a^2*(-b)^(31/2)*c^7 - 2448*a^3*(-b)^(29/2)*c^8 + 10240*a^3*(-b)^(31/2)*c^6 - 52736*a^4*(-b)^(29/2)*c^7 - 1558*a^5*(-b)^(27/2)*c^8 - 71040*a^5*(-b)^(29/2)*c^6 + 546*a^6*(-b)^(25/2)*c^9 - 4544*a^6*(-b)^(27/2)*c^7 - 3072*a^6*(-b)^(29/2)*c^5 + 14589*a^7*(-b)^(25/2)*c^8 - 2432*a^7*(-b)^(27/2)*c^6 - 240*a^8*(-b)^(23/2)*c^9 + 23168*a^8*(-b)^(25/2)*c^7 - 1344*a^9*(-b)^(23/2)*c^8 + 2304*a^9*(-b)^(25/2)*c^6 + 1008*a^2*(-b)^(31/2)*c^8 + 15360*a^3*(-b)^(31/2)*c^7 - 10160*a^4*(-b)^(29/2)*c^8 + 7680*a^4*(-b)^(31/2)*c^6 - 384*a^5*(-b)^(27/2)*c^9 - 53504*a^5*(-b)^(29/2)*c^7 - 8099*a^6*(-b)^(27/2)*c^8 - 25728*a^6*(-b)^(29/2)*c^6 + 1668*a^7*(-b)^(25/2)*c^9 - 13760*a^7*(-b)^(27/2)*c^7 + 10048*a^8*(-b)^(25/2)*c^8 - 2048*a^8*(-b)^(27/2)*c^6 - 120*a^9*(-b)^(23/2)*c^9 + 4480*a^9*(-b)^(25/2)*c^7 + 5184*a^3*(-b)^(31/2)*c^8 - 570*a^4*(-b)^(29/2)*c^9 + 19200*a^4*(-b)^(31/2)*c^7 - 16048*a^5*(-b)^(29/2)*c^8 + 3072*a^5*(-b)^(31/2)*c^6 - 1984*a^6*(-b)^(27/2)*c^9 - 28416*a^6*(-b)^(29/2)*c^7 + 45*a^7*(-b)^(25/2)*c^10 - 11984*a^7*(-b)^(27/2)*c^8 - 3840*a^7*(-b)^(29/2)*c^6 + 1698*a^8*(-b)^(25/2)*c^9 - 7552*a^8*(-b)^(27/2)*c^7 + 2560*a^9*(-b)^(25/2)*c^8 + 480*a^3*(-b)^(31/2)*c^9 + 10912*a^4*(-b)^(31/2)*c^8 - 1732*a^5*(-b)^(29/2)*c^9 + 13440*a^5*(-b)^(31/2)*c^7 - 119*a^6*(-b)^(27/2)*c^10 - 11408*a^6*(-b)^(29/2)*c^8 + 512*a^6*(-b)^(31/2)*c^6 - 3568*a^7*(-b)^(27/2)*c^9 - 7040*a^7*(-b)^(29/2)*c^7 + 90*a^8*(-b)^(25/2)*c^10 - 7408*a^8*(-b)^(27/2)*c^8 + 576*a^9*(-b)^(25/2)*c^9 - 1280*a^9*(-b)^(27/2)*c^7 + 2160*a^4*(-b)^(31/2)*c^9 - 35*a^5*(-b)^(29/2)*c^10 + 11968*a^5*(-b)^(31/2)*c^8 - 1530*a^6*(-b)^(29/2)*c^9 + 4992*a^6*(-b)^(31/2)*c^7 - 382*a^7*(-b)^(27/2)*c^10 - 2816*a^7*(-b)^(29/2)*c^8 - 2720*a^8*(-b)^(27/2)*c^9 - 512*a^8*(-b)^(29/2)*c^7 + 45*a^9*(-b)^(25/2)*c^10 - 1664*a^9*(-b)^(27/2)*c^8 + 129*a^4*(-b)^(31/2)*c^10 + 3856*a^5*(-b)^(31/2)*c^9 + 10*a^6*(-b)^(29/2)*c^10 + 7152*a^6*(-b)^(31/2)*c^8 - 10*a^7*(-b)^(27/2)*c^11 + 112*a^7*(-b)^(29/2)*c^9 + 768*a^7*(-b)^(31/2)*c^7 - 407*a^8*(-b)^(27/2)*c^10 + 512*a^8*(-b)^(29/2)*c^8 - 752*a^9*(-b)^(27/2)*c^9 + 482*a^5*(-b)^(31/2)*c^10 + 8*a^6*(-b)^(29/2)*c^11 + 3408*a^6*(-b)^(31/2)*c^9 + 221*a^7*(-b)^(29/2)*c^10 + 2176*a^7*(-b)^(31/2)*c^8 - 20*a^8*(-b)^(27/2)*c^11 + 736*a^8*(-b)^(29/2)*c^9 - 144*a^9*(-b)^(27/2)*c^10 + 256*a^9*(-b)^(29/2)*c^8 + 18*a^5*(-b)^(31/2)*c^11 + 673*a^6*(-b)^(31/2)*c^10 + 32*a^7*(-b)^(29/2)*c^11 + 1488*a^7*(-b)^(31/2)*c^9 + 272*a^8*(-b)^(29/2)*c^10 + 256*a^8*(-b)^(31/2)*c^8 - 10*a^9*(-b)^(27/2)*c^11 + 256*a^9*(-b)^(29/2)*c^9 + 52*a^6*(-b)^(31/2)*c^11 + a^7*(-b)^(29/2)*c^12 + 416*a^7*(-b)^(31/2)*c^10 + 40*a^8*(-b)^(29/2)*c^11 + 256*a^8*(-b)^(31/2)*c^9 + 96*a^9*(-b)^(29/2)*c^10 + a^6*(-b)^(31/2)*c^12 + 50*a^7*(-b)^(31/2)*c^11 + 2*a^8*(-b)^(29/2)*c^12 + 96*a^8*(-b)^(31/2)*c^10 + 16*a^9*(-b)^(29/2)*c^11 + 2*a^7*(-b)^(31/2)*c^12 + 16*a^8*(-b)^(31/2)*c^11 + a^9*(-b)^(29/2)*c^12 + a^8*(-b)^(31/2)*c^12 - 1152*a*(-b)^(19/2)*c - 18432*a*(-b)^(21/2)*c + 2*a^6*(-b)^(9/2)*c - 24*a^5*(-b)^(11/2)*c + 4*a^7*(-b)^(9/2)*c + 70*a^4*(-b)^(13/2)*c - 48*a^6*(-b)^(11/2)*c + 2*a^8*(-b)^(9/2)*c - 288*a^3*(-b)^(15/2)*c + 60*a^5*(-b)^(13/2)*c - 8*a^7*(-b)^(11/2)*c + 1536*a^2*(-b)^(17/2)*c - 656*a^4*(-b)^(15/2)*c - 378*a^6*(-b)^(13/2)*c + 32*a^8*(-b)^(11/2)*c + 8064*a^3*(-b)^(17/2)*c + 656*a^5*(-b)^(15/2)*c - 784*a^7*(-b)^(13/2)*c + 16*a^9*(-b)^(11/2)*c - 9600*a^2*(-b)^(19/2)*c + 16384*a^4*(-b)^(17/2)*c + 3280*a^6*(-b)^(15/2)*c - 544*a^8*(-b)^(13/2)*c - 30720*a^3*(-b)^(19/2)*c + 15616*a^5*(-b)^(17/2)*c + 3664*a^7*(-b)^(15/2)*c - 128*a^9*(-b)^(13/2)*c - 1152*a*(-b)^(21/2)*c^2 - 46080*a^2*(-b)^(21/2)*c - 49920*a^4*(-b)^(19/2)*c + 6144*a^6*(-b)^(17/2)*c + 1664*a^8*(-b)^(15/2)*c - 61440*a^3*(-b)^(21/2)*c - 44160*a^5*(-b)^(19/2)*c - 128*a^7*(-b)^(17/2)*c + 256*a^9*(-b)^(15/2)*c + 46080*a*(-b)^(23/2)*c^2 - 46080*a^4*(-b)^(21/2)*c - 20352*a^6*(-b)^(19/2)*c - 512*a^8*(-b)^(17/2)*c + 9600*a*(-b)^(23/2)*c^3 - 18432*a^5*(-b)^(21/2)*c - 3840*a^7*(-b)^(19/2)*c - 3072*a^6*(-b)^(21/2)*c - 61440*a*(-b)^(25/2)*c^3 - 17280*a*(-b)^(25/2)*c^4 + 46080*a*(-b)^(27/2)*c^4 + 14976*a*(-b)^(27/2)*c^5 - 18432*a*(-b)^(29/2)*c^5 - 6528*a*(-b)^(29/2)*c^6 + 3072*a*(-b)^(31/2)*c^6 + 1152*a*(-b)^(31/2)*c^7))/((-b)^(1/4)*(a^6*b^17 + 9*a^7*b^17*c + 36*a^8*b^17*c^2 + 84*a^9*b^17*c^3 + 126*a^10*b^17*c^4 + 126*a^11*b^17*c^5 + 84*a^12*b^17*c^6 + 36*a^13*b^17*c^7 + 9*a^14*b^17*c^8 + a^15*b^17*c^9)) - (((64*(36*a^12*(-b)^(25/4) - 4*a^13*(-b)^(21/4) + 48*a^13*(-b)^(25/4) - 60*a^11*(-b)^(29/4) - 240*a^12*(-b)^(29/4) - 192*a^13*(-b)^(29/4) - 180*a^10*(-b)^(33/4) - 240*a^11*(-b)^(33/4) + 192*a^12*(-b)^(33/4) + 240*a^9*(-b)^(37/4) + 256*a^13*(-b)^(33/4) + 1200*a^10*(-b)^(37/4) + 1728*a^11*(-b)^(37/4) + 320*a^8*(-b)^(41/4) + 768*a^12*(-b)^(37/4) + 1152*a^9*(-b)^(41/4) + 1344*a^10*(-b)^(41/4) + 512*a^11*(-b)^(41/4) - 144*a^13*(-b)^(29/4)*c^2 + 912*a^12*(-b)^(33/4)*c^2 + 1344*a^13*(-b)^(33/4)*c^2 + 336*a^13*(-b)^(33/4)*c^3 - 432*a^11*(-b)^(37/4)*c^2 - 4032*a^12*(-b)^(37/4)*c^2 - 1680*a^12*(-b)^(37/4)*c^3 - 4032*a^13*(-b)^(37/4)*c^2 - 4624*a^10*(-b)^(41/4)*c^2 - 2688*a^13*(-b)^(37/4)*c^3 - 9408*a^11*(-b)^(41/4)*c^2 - 504*a^13*(-b)^(37/4)*c^4 - 336*a^11*(-b)^(41/4)*c^3 - 1344*a^12*(-b)^(41/4)*c^2 + 3584*a^9*(-b)^(45/4)*c^2 + 5376*a^12*(-b)^(41/4)*c^3 + 3584*a^13*(-b)^(41/4)*c^2 + 20160*a^10*(-b)^(45/4)*c^2 + 1848*a^12*(-b)^(41/4)*c^4 + 6720*a^13*(-b)^(41/4)*c^3 + 8848*a^10*(-b)^(45/4)*c^3 + 30912*a^11*(-b)^(45/4)*c^2 + 3360*a^13*(-b)^(41/4)*c^4 + 6720*a^8*(-b)^(49/4)*c^2 + 21504*a^11*(-b)^(45/4)*c^3 + 14336*a^12*(-b)^(45/4)*c^2 + 504*a^13*(-b)^(41/4)*c^5 + 24192*a^9*(-b)^(49/4)*c^2 + 1848*a^11*(-b)^(45/4)*c^4 + 9408*a^12*(-b)^(45/4)*c^3 - 4032*a^9*(-b)^(49/4)*c^3 + 28224*a^10*(-b)^(49/4)*c^2 - 3360*a^12*(-b)^(45/4)*c^4 - 3584*a^13*(-b)^(45/4)*c^3 - 26880*a^10*(-b)^(49/4)*c^3 + 10752*a^11*(-b)^(49/4)*c^2 - 1176*a^12*(-b)^(45/4)*c^5 - 6720*a^13*(-b)^(45/4)*c^4 - 10584*a^10*(-b)^(49/4)*c^4 - 44352*a^11*(-b)^(49/4)*c^3 - 2688*a^13*(-b)^(45/4)*c^5 - 11200*a^8*(-b)^(53/4)*c^3 - 30240*a^11*(-b)^(49/4)*c^4 - 21504*a^12*(-b)^(49/4)*c^3 - 336*a^13*(-b)^(45/4)*c^6 - 40320*a^9*(-b)^(53/4)*c^3 - 2520*a^11*(-b)^(49/4)*c^5 - 20160*a^12*(-b)^(49/4)*c^4 + 1120*a^9*(-b)^(53/4)*c^4 - 47040*a^10*(-b)^(53/4)*c^3 + 16800*a^10*(-b)^(53/4)*c^4 - 17920*a^11*(-b)^(53/4)*c^3 + 336*a^12*(-b)^(49/4)*c^6 + 4032*a^13*(-b)^(49/4)*c^5 + 8120*a^10*(-b)^(53/4)*c^5 + 33600*a^11*(-b)^(53/4)*c^4 + 1344*a^13*(-b)^(49/4)*c^6 + 11200*a^8*(-b)^(57/4)*c^4 + 26880*a^11*(-b)^(53/4)*c^5 + 17920*a^12*(-b)^(53/4)*c^4 + 144*a^13*(-b)^(49/4)*c^7 + 40320*a^9*(-b)^(57/4)*c^4 + 1680*a^11*(-b)^(53/4)*c^6 + 22848*a^12*(-b)^(53/4)*c^5 + 2240*a^9*(-b)^(57/4)*c^5 + 47040*a^10*(-b)^(57/4)*c^4 + 1344*a^12*(-b)^(53/4)*c^6 + 3584*a^13*(-b)^(53/4)*c^5 + 17920*a^11*(-b)^(57/4)*c^4 + 48*a^12*(-b)^(53/4)*c^7 - 1344*a^13*(-b)^(53/4)*c^6 - 3920*a^10*(-b)^(57/4)*c^6 - 9408*a^11*(-b)^(57/4)*c^5 - 384*a^13*(-b)^(53/4)*c^7 - 6720*a^8*(-b)^(61/4)*c^5 - 14784*a^11*(-b)^(57/4)*c^6 - 7168*a^12*(-b)^(57/4)*c^5 - 36*a^13*(-b)^(53/4)*c^8 - 24192*a^9*(-b)^(61/4)*c^5 - 528*a^11*(-b)^(57/4)*c^7 - 14784*a^12*(-b)^(57/4)*c^6 - 2688*a^9*(-b)^(61/4)*c^6 - 28224*a^10*(-b)^(61/4)*c^5 - 768*a^12*(-b)^(57/4)*c^7 - 3584*a^13*(-b)^(57/4)*c^6 - 6720*a^10*(-b)^(61/4)*c^6 - 10752*a^11*(-b)^(61/4)*c^5 - 60*a^12*(-b)^(57/4)*c^8 + 192*a^13*(-b)^(57/4)*c^7 + 1104*a^10*(-b)^(61/4)*c^7 - 4032*a^11*(-b)^(61/4)*c^6 + 48*a^13*(-b)^(57/4)*c^8 + 2240*a^8*(-b)^(65/4)*c^6 + 4608*a^11*(-b)^(61/4)*c^7 + 4*a^13*(-b)^(57/4)*c^9 + 8064*a^9*(-b)^(65/4)*c^6 + 36*a^11*(-b)^(61/4)*c^8 + 5184*a^12*(-b)^(61/4)*c^7 + 1216*a^9*(-b)^(65/4)*c^7 + 9408*a^10*(-b)^(65/4)*c^6 + 144*a^12*(-b)^(61/4)*c^8 + 1536*a^13*(-b)^(61/4)*c^7 + 3840*a^10*(-b)^(65/4)*c^7 + 3584*a^11*(-b)^(65/4)*c^6 + 12*a^12*(-b)^(61/4)*c^9 - 148*a^10*(-b)^(65/4)*c^8 + 3648*a^11*(-b)^(65/4)*c^7 - 320*a^8*(-b)^(69/4)*c^7 - 624*a^11*(-b)^(65/4)*c^8 + 1024*a^12*(-b)^(65/4)*c^7 - 1152*a^9*(-b)^(69/4)*c^7 + 12*a^11*(-b)^(65/4)*c^9 - 768*a^12*(-b)^(65/4)*c^8 - 208*a^9*(-b)^(69/4)*c^8 - 1344*a^10*(-b)^(69/4)*c^7 - 256*a^13*(-b)^(65/4)*c^8 - 720*a^10*(-b)^(69/4)*c^8 - 512*a^11*(-b)^(69/4)*c^7 + 4*a^10*(-b)^(69/4)*c^9 - 768*a^11*(-b)^(69/4)*c^8 - 256*a^12*(-b)^(69/4)*c^8 + 36*a^13*(-b)^(25/4)*c - 276*a^12*(-b)^(29/4)*c - 384*a^13*(-b)^(29/4)*c + 300*a^11*(-b)^(33/4)*c + 1536*a^12*(-b)^(33/4)*c + 1344*a^13*(-b)^(33/4)*c + 1380*a^10*(-b)^(37/4)*c + 2304*a^11*(-b)^(37/4)*c - 576*a^12*(-b)^(37/4)*c - 1472*a^9*(-b)^(41/4)*c - 1536*a^13*(-b)^(37/4)*c - 7680*a^10*(-b)^(41/4)*c - 11328*a^11*(-b)^(41/4)*c - 2240*a^8*(-b)^(45/4)*c - 5120*a^12*(-b)^(41/4)*c - 8064*a^9*(-b)^(45/4)*c - 9408*a^10*(-b)^(45/4)*c - 3584*a^11*(-b)^(45/4)*c))/(a^7*b^18 + 9*a^8*b^18*c + 36*a^9*b^18*c^2 + 84*a^10*b^18*c^3 + 126*a^11*b^18*c^4 + 126*a^12*b^18*c^5 + 84*a^13*b^18*c^6 + 36*a^14*b^18*c^7 + 9*a^15*b^18*c^8 + a^16*b^18*c^9) + (64*(-(b*x - 1)/(c + x))^(1/4)*(b*((-b)^(3/4) + a*((-b)^(3/4) + ((-b)^(3/4)*c)/4)) + (a*(-b)^(3/4))/4)*(16*a^13*(-b)^(11/2) - 80*a^12*(-b)^(13/2) - 80*a^11*(-b)^(15/2) - 128*a^13*(-b)^(13/2) + 400*a^10*(-b)^(17/2) + 128*a^12*(-b)^(15/2) + 896*a^9*(-b)^(19/2) + 1152*a^11*(-b)^(17/2) + 256*a^13*(-b)^(15/2) + 512*a^8*(-b)^(21/2) + 1920*a^10*(-b)^(19/2) + 768*a^12*(-b)^(17/2) + 1024*a^9*(-b)^(21/2) + 1024*a^11*(-b)^(19/2) + 512*a^10*(-b)^(21/2) + 448*a^13*(-b)^(15/2)*c^2 - 1344*a^12*(-b)^(17/2)*c^2 - 2624*a^11*(-b)^(19/2)*c^2 - 2688*a^13*(-b)^(17/2)*c^2 + 1088*a^10*(-b)^(21/2)*c^2 + 128*a^12*(-b)^(19/2)*c^2 - 896*a^13*(-b)^(17/2)*c^3 + 9600*a^9*(-b)^(23/2)*c^2 + 9344*a^11*(-b)^(21/2)*c^2 + 1792*a^12*(-b)^(19/2)*c^3 + 4096*a^13*(-b)^(19/2)*c^2 + 7680*a^8*(-b)^(25/2)*c^2 + 21888*a^10*(-b)^(23/2)*c^2 + 4096*a^11*(-b)^(21/2)*c^3 + 8704*a^12*(-b)^(21/2)*c^2 + 4480*a^13*(-b)^(19/2)*c^3 + 15360*a^9*(-b)^(25/2)*c^2 + 3328*a^10*(-b)^(23/2)*c^3 + 12288*a^11*(-b)^(23/2)*c^2 + 128*a^12*(-b)^(21/2)*c^3 + 1120*a^13*(-b)^(19/2)*c^4 - 8320*a^9*(-b)^(25/2)*c^3 + 7680*a^10*(-b)^(25/2)*c^2 - 4992*a^11*(-b)^(23/2)*c^3 - 1120*a^12*(-b)^(21/2)*c^4 - 6656*a^13*(-b)^(21/2)*c^3 - 10240*a^8*(-b)^(27/2)*c^3 - 21120*a^10*(-b)^(25/2)*c^3 - 2400*a^11*(-b)^(23/2)*c^4 - 9216*a^12*(-b)^(23/2)*c^3 - 4480*a^13*(-b)^(21/2)*c^4 - 20480*a^9*(-b)^(27/2)*c^3 - 7200*a^10*(-b)^(25/2)*c^4 - 12800*a^11*(-b)^(25/2)*c^3 + 1920*a^12*(-b)^(23/2)*c^4 - 896*a^13*(-b)^(21/2)*c^5 + 640*a^9*(-b)^(27/2)*c^4 - 10240*a^10*(-b)^(27/2)*c^3 - 3200*a^11*(-b)^(25/2)*c^4 + 7680*a^13*(-b)^(23/2)*c^4 + 7680*a^8*(-b)^(29/2)*c^4 + 5760*a^10*(-b)^(27/2)*c^4 - 1280*a^11*(-b)^(25/2)*c^5 + 5120*a^12*(-b)^(25/2)*c^4 + 2688*a^13*(-b)^(23/2)*c^5 + 15360*a^9*(-b)^(29/2)*c^4 + 5120*a^10*(-b)^(27/2)*c^5 + 5120*a^11*(-b)^(27/2)*c^4 - 5248*a^12*(-b)^(25/2)*c^5 + 448*a^13*(-b)^(23/2)*c^6 + 4224*a^9*(-b)^(29/2)*c^5 + 7680*a^10*(-b)^(29/2)*c^4 + 3968*a^11*(-b)^(27/2)*c^5 + 448*a^12*(-b)^(25/2)*c^6 - 6656*a^13*(-b)^(25/2)*c^5 - 3072*a^8*(-b)^(31/2)*c^5 + 5760*a^10*(-b)^(29/2)*c^5 + 2752*a^11*(-b)^(27/2)*c^6 - 2048*a^12*(-b)^(27/2)*c^5 - 896*a^13*(-b)^(25/2)*c^6 - 6144*a^9*(-b)^(31/2)*c^5 - 704*a^10*(-b)^(29/2)*c^6 + 1536*a^11*(-b)^(29/2)*c^5 + 5504*a^12*(-b)^(27/2)*c^6 - 128*a^13*(-b)^(25/2)*c^7 - 2944*a^9*(-b)^(31/2)*c^6 - 3072*a^10*(-b)^(31/2)*c^5 + 384*a^11*(-b)^(29/2)*c^6 - 256*a^12*(-b)^(27/2)*c^7 + 4096*a^13*(-b)^(27/2)*c^6 + 512*a^8*(-b)^(33/2)*c^6 - 4992*a^10*(-b)^(31/2)*c^6 - 1536*a^11*(-b)^(29/2)*c^7 + 1536*a^12*(-b)^(29/2)*c^6 + 128*a^13*(-b)^(27/2)*c^7 + 1024*a^9*(-b)^(33/2)*c^6 - 768*a^10*(-b)^(31/2)*c^7 - 2048*a^11*(-b)^(31/2)*c^6 - 2688*a^12*(-b)^(29/2)*c^7 + 16*a^13*(-b)^(27/2)*c^8 + 640*a^9*(-b)^(33/2)*c^7 + 512*a^10*(-b)^(33/2)*c^6 - 1664*a^11*(-b)^(31/2)*c^7 + 48*a^12*(-b)^(29/2)*c^8 - 1536*a^13*(-b)^(29/2)*c^7 + 1152*a^10*(-b)^(33/2)*c^7 + 304*a^11*(-b)^(31/2)*c^8 - 1024*a^12*(-b)^(31/2)*c^7 + 272*a^10*(-b)^(33/2)*c^8 + 512*a^11*(-b)^(33/2)*c^7 + 512*a^12*(-b)^(31/2)*c^8 + 512*a^11*(-b)^(33/2)*c^8 + 256*a^13*(-b)^(31/2)*c^8 + 256*a^12*(-b)^(33/2)*c^8 - 128*a^13*(-b)^(13/2)*c + 512*a^12*(-b)^(15/2)*c + 768*a^11*(-b)^(17/2)*c + 896*a^13*(-b)^(15/2)*c - 1536*a^10*(-b)^(19/2)*c - 384*a^12*(-b)^(17/2)*c - 4736*a^9*(-b)^(21/2)*c - 5504*a^11*(-b)^(19/2)*c - 1536*a^13*(-b)^(17/2)*c - 3072*a^8*(-b)^(23/2)*c - 10368*a^10*(-b)^(21/2)*c - 4096*a^12*(-b)^(19/2)*c - 6144*a^9*(-b)^(23/2)*c - 5632*a^11*(-b)^(21/2)*c - 3072*a^10*(-b)^(23/2)*c))/(a^2*(-b)^(9/4)*(a^6*b^17 + 9*a^7*b^17*c + 36*a^8*b^17*c^2 + 84*a^9*b^17*c^3 + 126*a^10*b^17*c^4 + 126*a^11*b^17*c^5 + 84*a^12*b^17*c^6 + 36*a^13*b^17*c^7 + 9*a^14*b^17*c^8 + a^15*b^17*c^9)))*(b*((-b)^(3/4) + a*((-b)^(3/4) + ((-b)^(3/4)*c)/4)) + (a*(-b)^(3/4))/4)^3)/(a^6*b^6)))/(a^2*b^2)))*(b*((-b)^(3/4) + a*((-b)^(3/4) + ((-b)^(3/4)*c)/4)) + (a*(-b)^(3/4))/4)*2i)/(a^2*b^2) - ((b*c + 1)*(-(b*x - 1)/(c + x))^(3/4))/(a*b^2*((b*x - 1)/(b*(c + x)) - 1))","B"
3013,0,-1,413,0.000000,"\text{Not used}","int(-(x^5*(7*b - 9*a*x^2))/((a*x^5 - b*x^3)^(1/4)*(a*x^9 - b*x^7 + 1)),x)","-\int \frac{x^5\,\left(7\,b-9\,a\,x^2\right)}{{\left(a\,x^5-b\,x^3\right)}^{1/4}\,\left(a\,x^9-b\,x^7+1\right)} \,d x","Not used",1,"-int((x^5*(7*b - 9*a*x^2))/((a*x^5 - b*x^3)^(1/4)*(a*x^9 - b*x^7 + 1)), x)","F"
3014,0,-1,415,0.000000,"\text{Not used}","int((b + a*x^4)/((a*x^4 - b)^(1/2)*(a*x^4 - b + c^2*x^2)),x)","\int \frac{a\,x^4+b}{\sqrt{a\,x^4-b}\,\left(c^2\,x^2+a\,x^4-b\right)} \,d x","Not used",1,"int((b + a*x^4)/((a*x^4 - b)^(1/2)*(a*x^4 - b + c^2*x^2)), x)","F"
3015,0,-1,415,0.000000,"\text{Not used}","int(-(x*(a - x)*(a*b - 2*b*x + x^2))/((-x*(a - x)*(b - x)^2)^(1/3)*(x^2*(a^2*d - 1) + 2*b*x + d*x^4 - b^2 - 2*a*d*x^3)),x)","\int -\frac{x\,\left(a-x\right)\,\left(x^2-2\,b\,x+a\,b\right)}{{\left(-x\,\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{1/3}\,\left(-b^2+2\,b\,x+d\,x^4-2\,a\,d\,x^3+\left(a^2\,d-1\right)\,x^2\right)} \,d x","Not used",1,"int(-(x*(a - x)*(a*b - 2*b*x + x^2))/((-x*(a - x)*(b - x)^2)^(1/3)*(x^2*(a^2*d - 1) + 2*b*x + d*x^4 - b^2 - 2*a*d*x^3)), x)","F"
3016,0,-1,417,0.000000,"\text{Not used}","int(-(b + a*x)/((a^3*x^3 + b^2*x^2)^(1/3)*(b - a*x)),x)","\int -\frac{b+a\,x}{{\left(a^3\,x^3+b^2\,x^2\right)}^{1/3}\,\left(b-a\,x\right)} \,d x","Not used",1,"int(-(b + a*x)/((a^3*x^3 + b^2*x^2)^(1/3)*(b - a*x)), x)","F"
3017,0,-1,421,0.000000,"\text{Not used}","int(-(((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)*(b + a^2*x^4)^(1/2))/(b - a^2*x^4),x)","-\int \frac{\sqrt{\sqrt{a^2\,x^4+b}+a\,x^2}\,\sqrt{a^2\,x^4+b}}{b-a^2\,x^4} \,d x","Not used",1,"-int((((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)*(b + a^2*x^4)^(1/2))/(b - a^2*x^4), x)","F"
3018,0,-1,421,0.000000,"\text{Not used}","int(-(((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)*(b + a^2*x^4)^(1/2))/(b - a^2*x^4),x)","-\int \frac{\sqrt{\sqrt{a^2\,x^4+b}+a\,x^2}\,\sqrt{a^2\,x^4+b}}{b-a^2\,x^4} \,d x","Not used",1,"-int((((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)*(b + a^2*x^4)^(1/2))/(b - a^2*x^4), x)","F"
3019,0,-1,423,0.000000,"\text{Not used}","int(1/((-(a - x)*(b - x)^2)^(1/3)*(b - a*d + x*(d - 1))),x)","\int \frac{1}{{\left(-\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{1/3}\,\left(b-a\,d+x\,\left(d-1\right)\right)} \,d x","Not used",1,"int(1/((-(a - x)*(b - x)^2)^(1/3)*(b - a*d + x*(d - 1))), x)","F"
3020,0,-1,423,0.000000,"\text{Not used}","int((((x - x^2 + 2*x^4 + 1)/(x - x^2 + 3*x^4 + 1))^(1/3)*(3*x - 2*x^2 + 4)*(x - x^2 + x^4 + 1))/(x^5*(x - x^2 - x^4 + 1)),x)","\int \frac{{\left(\frac{2\,x^4-x^2+x+1}{3\,x^4-x^2+x+1}\right)}^{1/3}\,\left(-2\,x^2+3\,x+4\right)\,\left(x^4-x^2+x+1\right)}{x^5\,\left(-x^4-x^2+x+1\right)} \,d x","Not used",1,"int((((x - x^2 + 2*x^4 + 1)/(x - x^2 + 3*x^4 + 1))^(1/3)*(3*x - 2*x^2 + 4)*(x - x^2 + x^4 + 1))/(x^5*(x - x^2 - x^4 + 1)), x)","F"
3021,0,-1,425,0.000000,"\text{Not used}","int(-(b - a*x)/((a^3*x^3 - b^2*x^2)^(1/3)*(b + a*x)),x)","\int -\frac{b-a\,x}{{\left(a^3\,x^3-b^2\,x^2\right)}^{1/3}\,\left(b+a\,x\right)} \,d x","Not used",1,"int(-(b - a*x)/((a^3*x^3 - b^2*x^2)^(1/3)*(b + a*x)), x)","F"
3022,0,-1,428,0.000000,"\text{Not used}","int(-((q + p*x^4)^(1/2)*(q - p*x^4))/(a*(q + p*x^4)^2 + c*x^4 + b*x^2*(q + p*x^4)),x)","\int -\frac{\sqrt{p\,x^4+q}\,\left(q-p\,x^4\right)}{a\,{\left(p\,x^4+q\right)}^2+c\,x^4+b\,x^2\,\left(p\,x^4+q\right)} \,d x","Not used",1,"int(-((q + p*x^4)^(1/2)*(q - p*x^4))/(a*(q + p*x^4)^2 + c*x^4 + b*x^2*(q + p*x^4)), x)","F"
3023,0,-1,428,0.000000,"\text{Not used}","int(-(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^4 + 1))/((x^2 + 1)^(1/2)*(x^4 - 1)),x)","\int -\frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}\,\left(x^4+1\right)}{\sqrt{x^2+1}\,\left(x^4-1\right)} \,d x","Not used",1,"int(-(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^4 + 1))/((x^2 + 1)^(1/2)*(x^4 - 1)), x)","F"
3024,0,-1,428,0.000000,"\text{Not used}","int(-(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^4 + 1))/((x^2 + 1)^(1/2)*(x^4 - 1)),x)","\int -\frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}\,\left(x^4+1\right)}{\sqrt{x^2+1}\,\left(x^4-1\right)} \,d x","Not used",1,"int(-(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^4 + 1))/((x^2 + 1)^(1/2)*(x^4 - 1)), x)","F"
3025,0,-1,429,0.000000,"\text{Not used}","int((x^6 - x^3 + 1)/((x^2 + x^4)^(1/3)*(x^6 - 1)),x)","\int \frac{x^6-x^3+1}{{\left(x^4+x^2\right)}^{1/3}\,\left(x^6-1\right)} \,d x","Not used",1,"int((x^6 - x^3 + 1)/((x^2 + x^4)^(1/3)*(x^6 - 1)), x)","F"
3026,0,-1,429,0.000000,"\text{Not used}","int((x^3 + x^6 + 1)/((x^2 + x^4)^(1/3)*(x^6 - 1)),x)","\int \frac{x^6+x^3+1}{{\left(x^4+x^2\right)}^{1/3}\,\left(x^6-1\right)} \,d x","Not used",1,"int((x^3 + x^6 + 1)/((x^2 + x^4)^(1/3)*(x^6 - 1)), x)","F"
3027,0,-1,431,0.000000,"\text{Not used}","int(((a*x + (a^2*x^2 - b)^(1/2))^(1/2)*(a^2*x^2 - b)^(1/2))/(c + (a*x + (a^2*x^2 - b)^(1/2))^(1/2))^(1/2),x)","\int \frac{\sqrt{a\,x+\sqrt{a^2\,x^2-b}}\,\sqrt{a^2\,x^2-b}}{\sqrt{c+\sqrt{a\,x+\sqrt{a^2\,x^2-b}}}} \,d x","Not used",1,"int(((a*x + (a^2*x^2 - b)^(1/2))^(1/2)*(a^2*x^2 - b)^(1/2))/(c + (a*x + (a^2*x^2 - b)^(1/2))^(1/2))^(1/2), x)","F"
3028,0,-1,432,0.000000,"\text{Not used}","int(((a*x^8 - 1)*(a*x^8 + 1)^(3/4))/(x^8 + a^2*x^16 + 1),x)","\int \frac{\left(a\,x^8-1\right)\,{\left(a\,x^8+1\right)}^{3/4}}{a^2\,x^{16}+x^8+1} \,d x","Not used",1,"int(((a*x^8 - 1)*(a*x^8 + 1)^(3/4))/(x^8 + a^2*x^16 + 1), x)","F"
3029,0,-1,433,0.000000,"\text{Not used}","int(-(b - a*x)/((a^3*x^3 + b^2*x^2)^(1/3)*(b + a*x)),x)","\int -\frac{b-a\,x}{{\left(a^3\,x^3+b^2\,x^2\right)}^{1/3}\,\left(b+a\,x\right)} \,d x","Not used",1,"int(-(b - a*x)/((a^3*x^3 + b^2*x^2)^(1/3)*(b + a*x)), x)","F"
3030,0,-1,434,0.000000,"\text{Not used}","int(1/((x^2 - 1)^2*(x + (x^2 + 1)^(1/2))^(1/2)),x)","\int \frac{1}{{\left(x^2-1\right)}^2\,\sqrt{x+\sqrt{x^2+1}}} \,d x","Not used",1,"int(1/((x^2 - 1)^2*(x + (x^2 + 1)^(1/2))^(1/2)), x)","F"
3031,0,-1,437,0.000000,"\text{Not used}","int(-(c + b*x + a*x^2)^(3/2)/(x*(c + b*x + a*x^2)^(1/2) - 1),x)","\int -\frac{{\left(a\,x^2+b\,x+c\right)}^{3/2}}{x\,\sqrt{a\,x^2+b\,x+c}-1} \,d x","Not used",1,"int(-(c + b*x + a*x^2)^(3/2)/(x*(c + b*x + a*x^2)^(1/2) - 1), x)","F"
3032,0,-1,438,0.000000,"\text{Not used}","int((b - x)^2/((-(a - x)*(b - x)^2)^(2/3)*(b^2*d + 2*x*(a - b*d) - a^2 + x^2*(d - 1))),x)","\int \frac{{\left(b-x\right)}^2}{{\left(-\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{2/3}\,\left(b^2\,d+2\,x\,\left(a-b\,d\right)-a^2+x^2\,\left(d-1\right)\right)} \,d x","Not used",1,"int((b - x)^2/((-(a - x)*(b - x)^2)^(2/3)*(b^2*d + 2*x*(a - b*d) - a^2 + x^2*(d - 1))), x)","F"
3033,0,-1,441,0.000000,"\text{Not used}","int(-(b + a*x)/((a^3*x^3 - b^2*x^2)^(1/3)*(b - a*x)),x)","\int -\frac{b+a\,x}{{\left(a^3\,x^3-b^2\,x^2\right)}^{1/3}\,\left(b-a\,x\right)} \,d x","Not used",1,"int(-(b + a*x)/((a^3*x^3 - b^2*x^2)^(1/3)*(b - a*x)), x)","F"
3034,0,-1,445,0.000000,"\text{Not used}","int(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)","\int \frac{1}{{\left(a\,x+\sqrt{a^2\,x^2-b}\right)}^{1/3}\,{\left(c+{\left(a\,x+\sqrt{a^2\,x^2-b}\right)}^{1/3}\right)}^{1/4}} \,d x","Not used",1,"int(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)","F"
3035,0,-1,448,0.000000,"\text{Not used}","int(x^4/((a*x^4 - b)^(1/4)*(2*a*x^4 - b + x^8)),x)","\int \frac{x^4}{{\left(a\,x^4-b\right)}^{1/4}\,\left(x^8+2\,a\,x^4-b\right)} \,d x","Not used",1,"int(x^4/((a*x^4 - b)^(1/4)*(2*a*x^4 - b + x^8)), x)","F"
3036,0,-1,448,0.000000,"\text{Not used}","int(((a*x + (a^2*x^2 - b)^(1/2))^(3/4)*(d + c*x^2))/(a^2*x^2 - b)^(5/2),x)","\int \frac{{\left(a\,x+\sqrt{a^2\,x^2-b}\right)}^{3/4}\,\left(c\,x^2+d\right)}{{\left(a^2\,x^2-b\right)}^{5/2}} \,d x","Not used",1,"int(((a*x + (a^2*x^2 - b)^(1/2))^(3/4)*(d + c*x^2))/(a^2*x^2 - b)^(5/2), x)","F"
3037,0,-1,452,0.000000,"\text{Not used}","int(x^2/((x^4 + 1)*(x^6 - x^2)^(1/4)),x)","\int \frac{x^2}{\left(x^4+1\right)\,{\left(x^6-x^2\right)}^{1/4}} \,d x","Not used",1,"int(x^2/((x^4 + 1)*(x^6 - x^2)^(1/4)), x)","F"
3038,0,-1,452,0.000000,"\text{Not used}","int(x^2/((x^4 + 1)*(x^6 - x^2)^(1/4)),x)","\int \frac{x^2}{\left(x^4+1\right)\,{\left(x^6-x^2\right)}^{1/4}} \,d x","Not used",1,"int(x^2/((x^4 + 1)*(x^6 - x^2)^(1/4)), x)","F"
3039,0,-1,452,0.000000,"\text{Not used}","int((x^4 - 1)/((x^4 + 1)*(x^6 - x^2)^(1/4)),x)","\int \frac{x^4-1}{\left(x^4+1\right)\,{\left(x^6-x^2\right)}^{1/4}} \,d x","Not used",1,"int((x^4 - 1)/((x^4 + 1)*(x^6 - x^2)^(1/4)), x)","F"
3040,0,-1,452,0.000000,"\text{Not used}","int((a*x^4 - b)^(3/4)/(2*a*x^4 - b + x^8),x)","\int \frac{{\left(a\,x^4-b\right)}^{3/4}}{x^8+2\,a\,x^4-b} \,d x","Not used",1,"int((a*x^4 - b)^(3/4)/(2*a*x^4 - b + x^8), x)","F"
3041,0,-1,452,0.000000,"\text{Not used}","int(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)/(x^2 + 1)^(5/2),x)","\int \frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}}{{\left(x^2+1\right)}^{5/2}} \,d x","Not used",1,"int(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)/(x^2 + 1)^(5/2), x)","F"
3042,0,-1,452,0.000000,"\text{Not used}","int(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)/(x^2 + 1)^(5/2),x)","\int \frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}}{{\left(x^2+1\right)}^{5/2}} \,d x","Not used",1,"int(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)/(x^2 + 1)^(5/2), x)","F"
3043,0,-1,455,0.000000,"\text{Not used}","int(-(x^2*(b + a*x)^(1/2))/((c + (b + a*x)^(1/2))^(1/2)*(b + a*x)^(1/2) - x^2),x)","-\int \frac{x^2\,\sqrt{b+a\,x}}{\sqrt{c+\sqrt{b+a\,x}}\,\sqrt{b+a\,x}-x^2} \,d x","Not used",1,"-int((x^2*(b + a*x)^(1/2))/((c + (b + a*x)^(1/2))^(1/2)*(b + a*x)^(1/2) - x^2), x)","F"
3044,0,-1,455,0.000000,"\text{Not used}","int(-(x^2*(b + a*x)^(1/2))/((c + (b + a*x)^(1/2))^(1/2)*(b + a*x)^(1/2) - x^2),x)","-\int \frac{x^2\,\sqrt{b+a\,x}}{\sqrt{c+\sqrt{b+a\,x}}\,\sqrt{b+a\,x}-x^2} \,d x","Not used",1,"-int((x^2*(b + a*x)^(1/2))/((c + (b + a*x)^(1/2))^(1/2)*(b + a*x)^(1/2) - x^2), x)","F"
3045,0,-1,455,0.000000,"\text{Not used}","int(((b + a^2*x^2)^(1/2) + a*x)^(1/2)*(b + a^2*x^2)^(1/2)*(c + ((b + a^2*x^2)^(1/2) + a*x)^(1/2))^(1/2),x)","\int \sqrt{\sqrt{a^2\,x^2+b}+a\,x}\,\sqrt{a^2\,x^2+b}\,\sqrt{c+\sqrt{\sqrt{a^2\,x^2+b}+a\,x}} \,d x","Not used",1,"int(((b + a^2*x^2)^(1/2) + a*x)^(1/2)*(b + a^2*x^2)^(1/2)*(c + ((b + a^2*x^2)^(1/2) + a*x)^(1/2))^(1/2), x)","F"
3046,0,-1,456,0.000000,"\text{Not used}","int(x^4/((b + a*x^4)^(1/4)*(b + 2*a*x^4 + 2*x^8)),x)","\int \frac{x^4}{{\left(a\,x^4+b\right)}^{1/4}\,\left(2\,x^8+2\,a\,x^4+b\right)} \,d x","Not used",1,"int(x^4/((b + a*x^4)^(1/4)*(b + 2*a*x^4 + 2*x^8)), x)","F"
3047,0,-1,457,0.000000,"\text{Not used}","int(-(x^4*(q + p*x^4)^(1/2)*(q - p*x^4))/(a*(q + p*x^4)^4 + b*x^8),x)","-\int \frac{x^4\,\sqrt{p\,x^4+q}\,\left(q-p\,x^4\right)}{a\,{\left(p\,x^4+q\right)}^4+b\,x^8} \,d x","Not used",1,"-int((x^4*(q + p*x^4)^(1/2)*(q - p*x^4))/(a*(q + p*x^4)^4 + b*x^8), x)","F"
3048,0,-1,459,0.000000,"\text{Not used}","int(1/(3*x^3 - 3*x - 9*x^4 + 3*x^6 - 9*x^7 + x^9 - 3*x^10 + 1)^(1/3),x)","\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)}^{1/3}} \,d x","Not used",1,"int(1/(3*x^3 - 3*x - 9*x^4 + 3*x^6 - 9*x^7 + x^9 - 3*x^10 + 1)^(1/3), x)","F"
3049,0,-1,460,0.000000,"\text{Not used}","int((b + a*x^4)^(3/4)/(b + 2*a*x^4 + 2*x^8),x)","\int \frac{{\left(a\,x^4+b\right)}^{3/4}}{2\,x^8+2\,a\,x^4+b} \,d x","Not used",1,"int((b + a*x^4)^(3/4)/(b + 2*a*x^4 + 2*x^8), x)","F"
3050,0,-1,460,0.000000,"\text{Not used}","int(((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)/((b + a^2*x^4)^(1/2)*(d + c*x)),x)","\int \frac{\sqrt{\sqrt{a^2\,x^4+b}+a\,x^2}}{\sqrt{a^2\,x^4+b}\,\left(d+c\,x\right)} \,d x","Not used",1,"int(((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)/((b + a^2*x^4)^(1/2)*(d + c*x)), x)","F"
3051,0,-1,460,0.000000,"\text{Not used}","int(((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)/((b + a^2*x^4)^(1/2)*(d + c*x)),x)","\int \frac{\sqrt{\sqrt{a^2\,x^4+b}+a\,x^2}}{\sqrt{a^2\,x^4+b}\,\left(d+c\,x\right)} \,d x","Not used",1,"int(((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)/((b + a^2*x^4)^(1/2)*(d + c*x)), x)","F"
3052,0,-1,463,0.000000,"\text{Not used}","int(1/((c^3 + a^3*b^3*x^3)*(c + b*x + a*x^2)^(1/2)),x)","\int \frac{1}{\left(a^3\,b^3\,x^3+c^3\right)\,\sqrt{a\,x^2+b\,x+c}} \,d x","Not used",1,"int(1/((c^3 + a^3*b^3*x^3)*(c + b*x + a*x^2)^(1/2)), x)","F"
3053,0,-1,463,0.000000,"\text{Not used}","int(-(((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)*(d - c*x^2))/(d + c*x^2),x)","\int -\frac{\sqrt{\sqrt{a^2\,x^4+b}+a\,x^2}\,\left(d-c\,x^2\right)}{c\,x^2+d} \,d x","Not used",1,"int(-(((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)*(d - c*x^2))/(d + c*x^2), x)","F"
3054,0,-1,463,0.000000,"\text{Not used}","int(-(((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)*(d - c*x^2))/(d + c*x^2),x)","\int -\frac{\sqrt{\sqrt{a^2\,x^4+b}+a\,x^2}\,\left(d-c\,x^2\right)}{c\,x^2+d} \,d x","Not used",1,"int(-(((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)*(d - c*x^2))/(d + c*x^2), x)","F"
3055,0,-1,466,0.000000,"\text{Not used}","int(((a*x + 2*a*x^3 + a*x^5 - 2*x^2 - x^4 - 1)/(a*x - 2*a*x^3 + a*x^5 - 2*x^2 + x^4 + 1))^(1/2),x)","\int \sqrt{\frac{a\,x^5-x^4+2\,a\,x^3-2\,x^2+a\,x-1}{a\,x^5+x^4-2\,a\,x^3-2\,x^2+a\,x+1}} \,d x","Not used",1,"int(((a*x + 2*a*x^3 + a*x^5 - 2*x^2 - x^4 - 1)/(a*x - 2*a*x^3 + a*x^5 - 2*x^2 + x^4 + 1))^(1/2), x)","F"
3056,0,-1,468,0.000000,"\text{Not used}","int((x + 1)/((x^2 + 1)^(1/3)*(x^2 - 3)),x)","\int \frac{x+1}{{\left(x^2+1\right)}^{1/3}\,\left(x^2-3\right)} \,d x","Not used",1,"int((x + 1)/((x^2 + 1)^(1/3)*(x^2 - 3)), x)","F"
3057,0,-1,469,0.000000,"\text{Not used}","int(-(x^4 - 1)/((x^4 + 1)*(x^5 - x^3)^(1/4)),x)","-\int \frac{x^4-1}{\left(x^4+1\right)\,{\left(x^5-x^3\right)}^{1/4}} \,d x","Not used",1,"-int((x^4 - 1)/((x^4 + 1)*(x^5 - x^3)^(1/4)), x)","F"
3058,0,-1,469,0.000000,"\text{Not used}","int((x^8 - 1)/((x^8 + 1)*(x^6 - x^2)^(1/4)),x)","\int \frac{x^8-1}{\left(x^8+1\right)\,{\left(x^6-x^2\right)}^{1/4}} \,d x","Not used",1,"int((x^8 - 1)/((x^8 + 1)*(x^6 - x^2)^(1/4)), x)","F"
3059,0,-1,469,0.000000,"\text{Not used}","int((x^8 - 1)/((x^8 + 1)*(x^6 - x^2)^(1/4)),x)","\int \frac{x^8-1}{\left(x^8+1\right)\,{\left(x^6-x^2\right)}^{1/4}} \,d x","Not used",1,"int((x^8 - 1)/((x^8 + 1)*(x^6 - x^2)^(1/4)), x)","F"
3060,0,-1,470,0.000000,"\text{Not used}","int((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)","\int \frac{{\left(a\,x+\sqrt{a^2\,x^2-b}\right)}^{1/3}}{{\left(c+{\left(a\,x+\sqrt{a^2\,x^2-b}\right)}^{1/3}\right)}^{1/4}} \,d x","Not used",1,"int((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)","F"
3061,0,-1,471,0.000000,"\text{Not used}","int((a*x + b^2)/((a*x - b^2)*(b + (a*x^2 + b^2)^(1/2))^(1/2)),x)","\int \frac{b^2+a\,x}{\left(a\,x-b^2\right)\,\sqrt{b+\sqrt{b^2+a\,x^2}}} \,d x","Not used",1,"int((a*x + b^2)/((a*x - b^2)*(b + (a*x^2 + b^2)^(1/2))^(1/2)), x)","F"
3062,0,-1,472,0.000000,"\text{Not used}","int((a*x^4 - b)^(3/4)/(b - 2*a*x^4 + 2*x^8),x)","\int \frac{{\left(a\,x^4-b\right)}^{3/4}}{2\,x^8-2\,a\,x^4+b} \,d x","Not used",1,"int((a*x^4 - b)^(3/4)/(b - 2*a*x^4 + 2*x^8), x)","F"
3063,0,-1,472,0.000000,"\text{Not used}","int(-(d - c*x^2)/(((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)*(d + c*x^2)),x)","\int -\frac{d-c\,x^2}{\sqrt{\sqrt{a^2\,x^4+b}+a\,x^2}\,\left(c\,x^2+d\right)} \,d x","Not used",1,"int(-(d - c*x^2)/(((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)*(d + c*x^2)), x)","F"
3064,0,-1,472,0.000000,"\text{Not used}","int(-(d - c*x^2)/(((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)*(d + c*x^2)),x)","\int -\frac{d-c\,x^2}{\sqrt{\sqrt{a^2\,x^4+b}+a\,x^2}\,\left(c\,x^2+d\right)} \,d x","Not used",1,"int(-(d - c*x^2)/(((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)*(d + c*x^2)), x)","F"
3065,0,-1,476,0.000000,"\text{Not used}","int(x^4/((a*x^4 - b)^(1/4)*(b - 2*a*x^4 + 2*x^8)),x)","\int \frac{x^4}{{\left(a\,x^4-b\right)}^{1/4}\,\left(2\,x^8-2\,a\,x^4+b\right)} \,d x","Not used",1,"int(x^4/((a*x^4 - b)^(1/4)*(b - 2*a*x^4 + 2*x^8)), x)","F"
3066,0,-1,477,0.000000,"\text{Not used}","int(-(x^3*(5*b - 6*a*x))/((a*x^2 - b*x)^(1/4)*(c + a*x^6 - b*x^5)),x)","\int -\frac{x^3\,\left(5\,b-6\,a\,x\right)}{{\left(a\,x^2-b\,x\right)}^{1/4}\,\left(a\,x^6-b\,x^5+c\right)} \,d x","Not used",1,"int(-(x^3*(5*b - 6*a*x))/((a*x^2 - b*x)^(1/4)*(c + a*x^6 - b*x^5)), x)","F"
3067,0,-1,481,0.000000,"\text{Not used}","int(-(a - x)/((-(a - x)*(b - x)^2)^(1/3)*(a^2*d + 2*x*(b - a*d) - b^2 + x^2*(d - 1))),x)","\int -\frac{a-x}{{\left(-\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{1/3}\,\left(a^2\,d+2\,x\,\left(b-a\,d\right)-b^2+x^2\,\left(d-1\right)\right)} \,d x","Not used",1,"int(-(a - x)/((-(a - x)*(b - x)^2)^(1/3)*(a^2*d + 2*x*(b - a*d) - b^2 + x^2*(d - 1))), x)","F"
3068,0,-1,482,0.000000,"\text{Not used}","int(-(b - a*x^4 + 2*x^8)/((b + a*x^4)^(1/4)*(b + 2*a*x^4 - x^8)),x)","\int -\frac{2\,x^8-a\,x^4+b}{{\left(a\,x^4+b\right)}^{1/4}\,\left(-x^8+2\,a\,x^4+b\right)} \,d x","Not used",1,"int(-(b - a*x^4 + 2*x^8)/((b + a*x^4)^(1/4)*(b + 2*a*x^4 - x^8)), x)","F"
3069,0,-1,495,0.000000,"\text{Not used}","int((a^2*x^2 - b)^(1/2)/(c + (a*x + (a^2*x^2 - b)^(1/2))^(1/2))^(1/2),x)","\int \frac{\sqrt{a^2\,x^2-b}}{\sqrt{c+\sqrt{a\,x+\sqrt{a^2\,x^2-b}}}} \,d x","Not used",1,"int((a^2*x^2 - b)^(1/2)/(c + (a*x + (a^2*x^2 - b)^(1/2))^(1/2))^(1/2), x)","F"
3070,0,-1,496,0.000000,"\text{Not used}","int((x + 1)/(189*x + 522*x^2 + 784*x^3 + 825*x^4 + 679*x^5 + 338*x^6 + 84*x^7 + 8*x^8 + 27)^(1/3),x)","\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)}^{1/3}} \,d x","Not used",1,"int((x + 1)/(189*x + 522*x^2 + 784*x^3 + 825*x^4 + 679*x^5 + 338*x^6 + 84*x^7 + 8*x^8 + 27)^(1/3), x)","F"
3071,0,-1,497,0.000000,"\text{Not used}","int((k^2*x^4 - 1)/((k^2*x^4 + 1)*((x^2 - 1)*(k^2*x^2 - 1))^(1/2)),x)","\int \frac{k^2\,x^4-1}{\left(k^2\,x^4+1\right)\,\sqrt{\left(x^2-1\right)\,\left(k^2\,x^2-1\right)}} \,d x","Not used",1,"int((k^2*x^4 - 1)/((k^2*x^4 + 1)*((x^2 - 1)*(k^2*x^2 - 1))^(1/2)), x)","F"
3072,0,-1,499,0.000000,"\text{Not used}","int((2*x + 1)/((x^2 - 1)^(1/3)*(x^2 + 3)),x)","\int \frac{2\,x+1}{{\left(x^2-1\right)}^{1/3}\,\left(x^2+3\right)} \,d x","Not used",1,"int((2*x + 1)/((x^2 - 1)^(1/3)*(x^2 + 3)), x)","F"
3073,0,-1,501,0.000000,"\text{Not used}","int(x/(1 - (1 - (1 - 1/x)^(1/2))^(1/2))^(1/2),x)","\int \frac{x}{\sqrt{1-\sqrt{1-\sqrt{1-\frac{1}{x}}}}} \,d x","Not used",1,"int(x/(1 - (1 - (1 - 1/x)^(1/2))^(1/2))^(1/2), x)","F"
3074,0,-1,501,0.000000,"\text{Not used}","int(((x^6 - x^2)^(1/4)*(x^8 - x^4 + 1))/(x^4*(x^4 + 1)),x)","\int \frac{{\left(x^6-x^2\right)}^{1/4}\,\left(x^8-x^4+1\right)}{x^4\,\left(x^4+1\right)} \,d x","Not used",1,"int(((x^6 - x^2)^(1/4)*(x^8 - x^4 + 1))/(x^4*(x^4 + 1)), x)","F"
3075,0,-1,501,0.000000,"\text{Not used}","int(((x^6 - x^2)^(1/4)*(x^8 - x^4 + 1))/(x^4*(x^4 + 1)),x)","\int \frac{{\left(x^6-x^2\right)}^{1/4}\,\left(x^8-x^4+1\right)}{x^4\,\left(x^4+1\right)} \,d x","Not used",1,"int(((x^6 - x^2)^(1/4)*(x^8 - x^4 + 1))/(x^4*(x^4 + 1)), x)","F"
3076,0,-1,501,0.000000,"\text{Not used}","int(((x^6 - x^2)^(1/4)*(x^4 + x^8 + 1))/(x^4*(x^4 + 1)),x)","\int \frac{{\left(x^6-x^2\right)}^{1/4}\,\left(x^8+x^4+1\right)}{x^4\,\left(x^4+1\right)} \,d x","Not used",1,"int(((x^6 - x^2)^(1/4)*(x^4 + x^8 + 1))/(x^4*(x^4 + 1)), x)","F"
3077,0,-1,501,0.000000,"\text{Not used}","int(((x^6 - x^2)^(1/4)*(x^4 + x^8 + 1))/(x^4*(x^4 + 1)),x)","\int \frac{{\left(x^6-x^2\right)}^{1/4}\,\left(x^8+x^4+1\right)}{x^4\,\left(x^4+1\right)} \,d x","Not used",1,"int(((x^6 - x^2)^(1/4)*(x^4 + x^8 + 1))/(x^4*(x^4 + 1)), x)","F"
3078,0,-1,506,0.000000,"\text{Not used}","int(-(a^3*x^3 + b^2*x^2)^(1/3)/(b - a*x),x)","-\int \frac{{\left(a^3\,x^3+b^2\,x^2\right)}^{1/3}}{b-a\,x} \,d x","Not used",1,"-int((a^3*x^3 + b^2*x^2)^(1/3)/(b - a*x), x)","F"
3079,0,-1,507,0.000000,"\text{Not used}","int((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)","\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","Not used",1,"int((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)","F"
3080,-1,-1,514,0.000000,"\text{Not used}","int(((x^2 - 3)*(x^4 - 2*x^2 + x^6 + 1))/(x^10*((a*x^2 - a + b*x^3)/(c*x^2 - c + d*x^3))^(1/4)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
3081,0,-1,514,0.000000,"\text{Not used}","int(-(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^4 + 1)*(x + (x^2 + 1)^(1/2))^(1/2))/(x^4 - 1),x)","\int -\frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}\,\left(x^4+1\right)\,\sqrt{x+\sqrt{x^2+1}}}{x^4-1} \,d x","Not used",1,"int(-(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^4 + 1)*(x + (x^2 + 1)^(1/2))^(1/2))/(x^4 - 1), x)","F"
3082,0,-1,514,0.000000,"\text{Not used}","int(-(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^4 + 1)*(x + (x^2 + 1)^(1/2))^(1/2))/(x^4 - 1),x)","\int -\frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}\,\left(x^4+1\right)\,\sqrt{x+\sqrt{x^2+1}}}{x^4-1} \,d x","Not used",1,"int(-(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^4 + 1)*(x + (x^2 + 1)^(1/2))^(1/2))/(x^4 - 1), x)","F"
3083,0,-1,515,0.000000,"\text{Not used}","int((b + a^2*x^2)^(1/2)*(c + ((b + a^2*x^2)^(1/2) + a*x)^(1/2))^(1/2),x)","\int \sqrt{a^2\,x^2+b}\,\sqrt{c+\sqrt{\sqrt{a^2\,x^2+b}+a\,x}} \,d x","Not used",1,"int((b + a^2*x^2)^(1/2)*(c + ((b + a^2*x^2)^(1/2) + a*x)^(1/2))^(1/2), x)","F"
3084,0,-1,518,0.000000,"\text{Not used}","int(((27*x + 135*x^2 - 150*x^3 + 65*x^4 - 13*x^5 + x^6 - 81)^3)^(1/2)/(x - 1),x)","\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","Not used",1,"int(((27*x + 135*x^2 - 150*x^3 + 65*x^4 - 13*x^5 + x^6 - 81)^3)^(1/2)/(x - 1), x)","F"
3085,0,-1,520,0.000000,"\text{Not used}","int((((x^4 + 1)^(1/2) + x^2)^(1/2)*(x^2 + x^4 + 1)^2)/((x^4 + 1)^(1/2)*(x^2 + x^4 - 1)^2),x)","\int \frac{\sqrt{\sqrt{x^4+1}+x^2}\,{\left(x^4+x^2+1\right)}^2}{\sqrt{x^4+1}\,{\left(x^4+x^2-1\right)}^2} \,d x","Not used",1,"int((((x^4 + 1)^(1/2) + x^2)^(1/2)*(x^2 + x^4 + 1)^2)/((x^4 + 1)^(1/2)*(x^2 + x^4 - 1)^2), x)","F"
3086,0,-1,520,0.000000,"\text{Not used}","int((((x^4 + 1)^(1/2) + x^2)^(1/2)*(x^2 + x^4 + 1)^2)/((x^4 + 1)^(1/2)*(x^2 + x^4 - 1)^2),x)","\int \frac{\sqrt{\sqrt{x^4+1}+x^2}\,{\left(x^4+x^2+1\right)}^2}{\sqrt{x^4+1}\,{\left(x^4+x^2-1\right)}^2} \,d x","Not used",1,"int((((x^4 + 1)^(1/2) + x^2)^(1/2)*(x^2 + x^4 + 1)^2)/((x^4 + 1)^(1/2)*(x^2 + x^4 - 1)^2), x)","F"
3087,0,-1,524,0.000000,"\text{Not used}","int(-((q + p*x^4)^(1/2)*(q - p*x^4))/(x^2*(a*q + b*x^2 + a*p*x^4)),x)","\int -\frac{\sqrt{p\,x^4+q}\,\left(q-p\,x^4\right)}{x^2\,\left(a\,p\,x^4+b\,x^2+a\,q\right)} \,d x","Not used",1,"int(-((q + p*x^4)^(1/2)*(q - p*x^4))/(x^2*(a*q + b*x^2 + a*p*x^4)), x)","F"
3088,0,-1,526,0.000000,"\text{Not used}","int((a^3*x^3 + b^2*x^2)^(1/3)/(b + a*x),x)","\int \frac{{\left(a^3\,x^3+b^2\,x^2\right)}^{1/3}}{b+a\,x} \,d x","Not used",1,"int((a^3*x^3 + b^2*x^2)^(1/3)/(b + a*x), x)","F"
3089,0,-1,526,0.000000,"\text{Not used}","int(((a*x + (a^2*x^2 - b)^(1/2))^(1/4)*(a^2*x^2 - b)^(3/2))/x,x)","\int \frac{{\left(a\,x+\sqrt{a^2\,x^2-b}\right)}^{1/4}\,{\left(a^2\,x^2-b\right)}^{3/2}}{x} \,d x","Not used",1,"int(((a*x + (a^2*x^2 - b)^(1/2))^(1/4)*(a^2*x^2 - b)^(3/2))/x, x)","F"
3090,0,-1,530,0.000000,"\text{Not used}","int(((a*x^2 + b^2)*(b + (a*x^2 + b^2)^(1/2))^(1/2))/(a*x^2 - b^2),x)","\int \frac{\left(b^2+a\,x^2\right)\,\sqrt{b+\sqrt{b^2+a\,x^2}}}{a\,x^2-b^2} \,d x","Not used",1,"int(((a*x^2 + b^2)*(b + (a*x^2 + b^2)^(1/2))^(1/2))/(a*x^2 - b^2), x)","F"
3091,0,-1,535,0.000000,"\text{Not used}","int((d + c*x^4)/(x*(a*x + (a^2*x^2 - b)^(1/2))^(1/4)*(a^2*x^2 - b)^(1/2)),x)","\int \frac{c\,x^4+d}{x\,{\left(a\,x+\sqrt{a^2\,x^2-b}\right)}^{1/4}\,\sqrt{a^2\,x^2-b}} \,d x","Not used",1,"int((d + c*x^4)/(x*(a*x + (a^2*x^2 - b)^(1/2))^(1/4)*(a^2*x^2 - b)^(1/2)), x)","F"
3092,0,-1,540,0.000000,"\text{Not used}","int(((a*x + (a^2*x^2 - b)^(1/2))^(1/4)*(a^2*x^2 - b)^(3/2))/x^2,x)","\int \frac{{\left(a\,x+\sqrt{a^2\,x^2-b}\right)}^{1/4}\,{\left(a^2\,x^2-b\right)}^{3/2}}{x^2} \,d x","Not used",1,"int(((a*x + (a^2*x^2 - b)^(1/2))^(1/4)*(a^2*x^2 - b)^(3/2))/x^2, x)","F"
3093,0,-1,541,0.000000,"\text{Not used}","int(-(b - x)/((-(a - x)*(b - x)^2)^(1/3)*(b^2*d + 2*x*(a - b*d) - a^2 + x^2*(d - 1))),x)","\int -\frac{b-x}{{\left(-\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{1/3}\,\left(b^2\,d+2\,x\,\left(a-b\,d\right)-a^2+x^2\,\left(d-1\right)\right)} \,d x","Not used",1,"int(-(b - x)/((-(a - x)*(b - x)^2)^(1/3)*(b^2*d + 2*x*(a - b*d) - a^2 + x^2*(d - 1))), x)","F"
3094,0,-1,541,0.000000,"\text{Not used}","int(-(b - x)/((-(a - x)*(b - x)^2)^(1/3)*(b^2*d + 2*x*(a - b*d) - a^2 + x^2*(d - 1))),x)","\int -\frac{b-x}{{\left(-\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{1/3}\,\left(b^2\,d+2\,x\,\left(a-b\,d\right)-a^2+x^2\,\left(d-1\right)\right)} \,d x","Not used",1,"int(-(b - x)/((-(a - x)*(b - x)^2)^(1/3)*(b^2*d + 2*x*(a - b*d) - a^2 + x^2*(d - 1))), x)","F"
3095,0,-1,541,0.000000,"\text{Not used}","int((a*x^2 + b^2)/((a*x^2 - b^2)*(b + (a*x^2 + b^2)^(1/2))^(1/2)),x)","\int \frac{b^2+a\,x^2}{\left(a\,x^2-b^2\right)\,\sqrt{b+\sqrt{b^2+a\,x^2}}} \,d x","Not used",1,"int((a*x^2 + b^2)/((a*x^2 - b^2)*(b + (a*x^2 + b^2)^(1/2))^(1/2)), x)","F"
3096,0,-1,543,0.000000,"\text{Not used}","int(1/((-(a - x)*(b - x)^2)^(1/3)*(a - b*d + x*(d - 1))),x)","\int \frac{1}{{\left(-\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{1/3}\,\left(a-b\,d+x\,\left(d-1\right)\right)} \,d x","Not used",1,"int(1/((-(a - x)*(b - x)^2)^(1/3)*(a - b*d + x*(d - 1))), x)","F"
3097,0,-1,549,0.000000,"\text{Not used}","int((((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)*(b + a^2*x^4)^(1/2))/(d + c*x^2),x)","\int \frac{\sqrt{\sqrt{a^2\,x^4+b}+a\,x^2}\,\sqrt{a^2\,x^4+b}}{c\,x^2+d} \,d x","Not used",1,"int((((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)*(b + a^2*x^4)^(1/2))/(d + c*x^2), x)","F"
3098,0,-1,549,0.000000,"\text{Not used}","int((((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)*(b + a^2*x^4)^(1/2))/(d + c*x^2),x)","\int \frac{\sqrt{\sqrt{a^2\,x^4+b}+a\,x^2}\,\sqrt{a^2\,x^4+b}}{c\,x^2+d} \,d x","Not used",1,"int((((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)*(b + a^2*x^4)^(1/2))/(d + c*x^2), x)","F"
3099,0,-1,553,0.000000,"\text{Not used}","int(((x^4 + 1)^(1/2) + x^2)^(1/2)/(a*x + 1),x)","\int \frac{\sqrt{\sqrt{x^4+1}+x^2}}{a\,x+1} \,d x","Not used",1,"int(((x^4 + 1)^(1/2) + x^2)^(1/2)/(a*x + 1), x)","F"
3100,0,-1,561,0.000000,"\text{Not used}","int(1/((_C4 + _C5*((_C0 + _C1*x)/(_C2 + _C3*x))^(1/2))^(1/2)*(_C6 + _C7*x)),x)","\int \frac{1}{\sqrt{_{\mathrm{C4}}+_{\mathrm{C5}}\,\sqrt{\frac{_{\mathrm{C0}}+_{\mathrm{C1}}\,x}{_{\mathrm{C2}}+_{\mathrm{C3}}\,x}}}\,\left(_{\mathrm{C6}}+_{\mathrm{C7}}\,x\right)} \,d x","Not used",1,"int(1/((_C4 + _C5*((_C0 + _C1*x)/(_C2 + _C3*x))^(1/2))^(1/2)*(_C6 + _C7*x)), x)","F"
3101,0,-1,569,0.000000,"\text{Not used}","int(-(b - x)/((-(a - x)*(b - x)^2)^(1/3)*(a^2*d + 2*x*(b - a*d) - b^2 + x^2*(d - 1))),x)","\int -\frac{b-x}{{\left(-\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{1/3}\,\left(a^2\,d+2\,x\,\left(b-a\,d\right)-b^2+x^2\,\left(d-1\right)\right)} \,d x","Not used",1,"int(-(b - x)/((-(a - x)*(b - x)^2)^(1/3)*(a^2*d + 2*x*(b - a*d) - b^2 + x^2*(d - 1))), x)","F"
3102,0,-1,569,0.000000,"\text{Not used}","int((a*x^2 + b^2)^2/((a*x^2 - b^2)^2*(b + (a*x^2 + b^2)^(1/2))^(1/2)),x)","\int \frac{{\left(b^2+a\,x^2\right)}^2}{{\left(a\,x^2-b^2\right)}^2\,\sqrt{b+\sqrt{b^2+a\,x^2}}} \,d x","Not used",1,"int((a*x^2 + b^2)^2/((a*x^2 - b^2)^2*(b + (a*x^2 + b^2)^(1/2))^(1/2)), x)","F"
3103,0,-1,586,0.000000,"\text{Not used}","int((a*x + (a*x - b)^(1/2))^(1/2)/((a^2*x^2 + 1)*(a*x - b)^(1/2)),x)","\int \frac{\sqrt{a\,x+\sqrt{a\,x-b}}}{\left(a^2\,x^2+1\right)\,\sqrt{a\,x-b}} \,d x","Not used",1,"int((a*x + (a*x - b)^(1/2))^(1/2)/((a^2*x^2 + 1)*(a*x - b)^(1/2)), x)","F"
3104,0,-1,590,0.000000,"\text{Not used}","int(-(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^4 + 1))/(x^4 - 1),x)","\int -\frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}\,\left(x^4+1\right)}{x^4-1} \,d x","Not used",1,"int(-(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^4 + 1))/(x^4 - 1), x)","F"
3105,0,-1,590,0.000000,"\text{Not used}","int(-(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^4 + 1))/(x^4 - 1),x)","\int -\frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}\,\left(x^4+1\right)}{x^4-1} \,d x","Not used",1,"int(-(((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^4 + 1))/(x^4 - 1), x)","F"
3106,0,-1,603,0.000000,"\text{Not used}","int((((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^2 + 1)^(5/2))/(x^2 - 1)^2,x)","\int \frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}\,{\left(x^2+1\right)}^{5/2}}{{\left(x^2-1\right)}^2} \,d x","Not used",1,"int((((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^2 + 1)^(5/2))/(x^2 - 1)^2, x)","F"
3107,0,-1,603,0.000000,"\text{Not used}","int((((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^2 + 1)^(5/2))/(x^2 - 1)^2,x)","\int \frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}\,{\left(x^2+1\right)}^{5/2}}{{\left(x^2-1\right)}^2} \,d x","Not used",1,"int((((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^2 + 1)^(5/2))/(x^2 - 1)^2, x)","F"
3108,0,-1,604,0.000000,"\text{Not used}","int((x^4 + 1)^(1/2)/(((x^4 + 1)^(1/2) + x^2)^(1/2)*(x + 1)^3),x)","\int \frac{\sqrt{x^4+1}}{\sqrt{\sqrt{x^4+1}+x^2}\,{\left(x+1\right)}^3} \,d x","Not used",1,"int((x^4 + 1)^(1/2)/(((x^4 + 1)^(1/2) + x^2)^(1/2)*(x + 1)^3), x)","F"
3109,0,-1,617,0.000000,"\text{Not used}","int(x^2/(1 - (1 - (1 - 1/x)^(1/2))^(1/2))^(1/2),x)","\int \frac{x^2}{\sqrt{1-\sqrt{1-\sqrt{1-\frac{1}{x}}}}} \,d x","Not used",1,"int(x^2/(1 - (1 - (1 - 1/x)^(1/2))^(1/2))^(1/2), x)","F"
3110,0,-1,622,0.000000,"\text{Not used}","int(-((x^2 + 1)*(a + b*x - a*x^2))/(x^2*((_C0*x - x^2 + 1)/(_C1*x - x^2 + 1))^(1/3)*(d*x - c + c*x^2)),x)","\int -\frac{\left(x^2+1\right)\,\left(-a\,x^2+b\,x+a\right)}{x^2\,{\left(\frac{-x^2+_{\mathrm{C0}}\,x+1}{-x^2+_{\mathrm{C1}}\,x+1}\right)}^{1/3}\,\left(c\,x^2+d\,x-c\right)} \,d x","Not used",1,"int(-((x^2 + 1)*(a + b*x - a*x^2))/(x^2*((_C0*x - x^2 + 1)/(_C1*x - x^2 + 1))^(1/3)*(d*x - c + c*x^2)), x)","F"
3111,0,-1,639,0.000000,"\text{Not used}","int((((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^2 + 1)^2)/((x^2 - 1)^2*(x + (x^2 + 1)^(1/2))^(1/2)),x)","\int \frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}\,{\left(x^2+1\right)}^2}{{\left(x^2-1\right)}^2\,\sqrt{x+\sqrt{x^2+1}}} \,d x","Not used",1,"int((((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^2 + 1)^2)/((x^2 - 1)^2*(x + (x^2 + 1)^(1/2))^(1/2)), x)","F"
3112,0,-1,639,0.000000,"\text{Not used}","int((((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^2 + 1)^2)/((x^2 - 1)^2*(x + (x^2 + 1)^(1/2))^(1/2)),x)","\int \frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}\,{\left(x^2+1\right)}^2}{{\left(x^2-1\right)}^2\,\sqrt{x+\sqrt{x^2+1}}} \,d x","Not used",1,"int((((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^2 + 1)^2)/((x^2 - 1)^2*(x + (x^2 + 1)^(1/2))^(1/2)), x)","F"
3113,0,-1,639,0.000000,"\text{Not used}","int((((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^2 + 1)^2*(x + (x^2 + 1)^(1/2))^(1/2))/(x^2 - 1)^2,x)","\int \frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}\,{\left(x^2+1\right)}^2\,\sqrt{x+\sqrt{x^2+1}}}{{\left(x^2-1\right)}^2} \,d x","Not used",1,"int((((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^2 + 1)^2*(x + (x^2 + 1)^(1/2))^(1/2))/(x^2 - 1)^2, x)","F"
3114,0,-1,639,0.000000,"\text{Not used}","int((((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^2 + 1)^2*(x + (x^2 + 1)^(1/2))^(1/2))/(x^2 - 1)^2,x)","\int \frac{\sqrt{\sqrt{x+\sqrt{x^2+1}}+1}\,{\left(x^2+1\right)}^2\,\sqrt{x+\sqrt{x^2+1}}}{{\left(x^2-1\right)}^2} \,d x","Not used",1,"int((((x + (x^2 + 1)^(1/2))^(1/2) + 1)^(1/2)*(x^2 + 1)^2*(x + (x^2 + 1)^(1/2))^(1/2))/(x^2 - 1)^2, x)","F"
3115,0,-1,650,0.000000,"\text{Not used}","int(x^2/((a*x + (a^2*x^2 - b)^(1/2))^(1/2) + 1)^(1/2),x)","\int \frac{x^2}{\sqrt{\sqrt{a\,x+\sqrt{a^2\,x^2-b}}+1}} \,d x","Not used",1,"int(x^2/((a*x + (a^2*x^2 - b)^(1/2))^(1/2) + 1)^(1/2), x)","F"
3116,0,-1,669,0.000000,"\text{Not used}","int((-x/(a*x - 3*a*x^3 + 3*a*x^5 - a*x^7 - 3*x^2 + 3*x^4 - x^6 + 1))^(1/3),x)","\int {\left(-\frac{x}{-a\,x^7-x^6+3\,a\,x^5+3\,x^4-3\,a\,x^3-3\,x^2+a\,x+1}\right)}^{1/3} \,d x","Not used",1,"int((-x/(a*x - 3*a*x^3 + 3*a*x^5 - a*x^7 - 3*x^2 + 3*x^4 - x^6 + 1))^(1/3), x)","F"
3117,0,-1,674,0.000000,"\text{Not used}","int(((a*x + (a^2*x^2 - b)^(1/2))^(1/3)*(a^2*x^2 - b)^(1/2))/(c + (a*x + (a^2*x^2 - b)^(1/2))^(1/3))^(1/4),x)","\int \frac{{\left(a\,x+\sqrt{a^2\,x^2-b}\right)}^{1/3}\,\sqrt{a^2\,x^2-b}}{{\left(c+{\left(a\,x+\sqrt{a^2\,x^2-b}\right)}^{1/3}\right)}^{1/4}} \,d x","Not used",1,"int(((a*x + (a^2*x^2 - b)^(1/2))^(1/3)*(a^2*x^2 - b)^(1/2))/(c + (a*x + (a^2*x^2 - b)^(1/2))^(1/3))^(1/4), x)","F"
3118,0,-1,678,0.000000,"\text{Not used}","int((a*x + (a^2*x^2 - b)^(1/2))^(1/6)/(x^3*(a^2*x^2 - b)^(1/2)),x)","\int \frac{{\left(a\,x+\sqrt{a^2\,x^2-b}\right)}^{1/6}}{x^3\,\sqrt{a^2\,x^2-b}} \,d x","Not used",1,"int((a*x + (a^2*x^2 - b)^(1/2))^(1/6)/(x^3*(a^2*x^2 - b)^(1/2)), x)","F"
3119,0,-1,685,0.000000,"\text{Not used}","int(-(x^2*(_C4 - _C3*x^2)*((_C4 + _C0*x + _C3*x^2)/(_C4 + _C1*x + _C3*x^2))^(1/4))/((_C4 - x + _C3*x^2)*(_C4 + x + _C3*x^2)*(_C4^2 + x^2 + _C3^2*x^4 + 2*_C3*_C4*x^2)),x)","\int -\frac{x^2\,\left(_{\mathrm{C4}}-_{\mathrm{C3}}\,x^2\right)\,{\left(\frac{_{\mathrm{C3}}\,x^2+_{\mathrm{C0}}\,x+_{\mathrm{C4}}}{_{\mathrm{C3}}\,x^2+_{\mathrm{C1}}\,x+_{\mathrm{C4}}}\right)}^{1/4}}{\left(_{\mathrm{C3}}\,x^2-x+_{\mathrm{C4}}\right)\,\left(_{\mathrm{C3}}\,x^2+x+_{\mathrm{C4}}\right)\,\left({_{\mathrm{C3}}}^2\,x^4+2\,_{\mathrm{C3}}\,_{\mathrm{C4}}\,x^2+{_{\mathrm{C4}}}^2+x^2\right)} \,d x","Not used",1,"int(-(x^2*(_C4 - _C3*x^2)*((_C4 + _C0*x + _C3*x^2)/(_C4 + _C1*x + _C3*x^2))^(1/4))/((_C4 - x + _C3*x^2)*(_C4 + x + _C3*x^2)*(_C4^2 + x^2 + _C3^2*x^4 + 2*_C3*_C4*x^2)), x)","F"
3120,0,-1,697,0.000000,"\text{Not used}","int(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)","\int \frac{1}{{\left(a\,x+\sqrt{a^2\,x^2-b}\right)}^{1/4}\,{\left(c+{\left(a\,x+\sqrt{a^2\,x^2-b}\right)}^{1/4}\right)}^{1/3}} \,d x","Not used",1,"int(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)","F"
3121,0,-1,699,0.000000,"\text{Not used}","int(1/(c + (a*x + (a^2*x^2 - b)^(1/2))^(1/4))^(1/3),x)","\int \frac{1}{{\left(c+{\left(a\,x+\sqrt{a^2\,x^2-b}\right)}^{1/4}\right)}^{1/3}} \,d x","Not used",1,"int(1/(c + (a*x + (a^2*x^2 - b)^(1/2))^(1/4))^(1/3), x)","F"
3122,0,-1,708,0.000000,"\text{Not used}","int((-(a*x - 4*a*x^3 + 6*a*x^5 - 4*a*x^7 + a*x^9 - 4*x^2 + 6*x^4 - 4*x^6 + x^8 + 1)/(c - b*x))^(1/4),x)","\int {\left(-\frac{a\,x^9+x^8-4\,a\,x^7-4\,x^6+6\,a\,x^5+6\,x^4-4\,a\,x^3-4\,x^2+a\,x+1}{c-b\,x}\right)}^{1/4} \,d x","Not used",1,"int((-(a*x - 4*a*x^3 + 6*a*x^5 - 4*a*x^7 + a*x^9 - 4*x^2 + 6*x^4 - 4*x^6 + x^8 + 1)/(c - b*x))^(1/4), x)","F"
3123,0,-1,719,0.000000,"\text{Not used}","int((c + (a*x + (a^2*x^2 - b)^(1/2))^(1/4))^(1/3),x)","\int {\left(c+{\left(a\,x+\sqrt{a^2\,x^2-b}\right)}^{1/4}\right)}^{1/3} \,d x","Not used",1,"int((c + (a*x + (a^2*x^2 - b)^(1/2))^(1/4))^(1/3), x)","F"
3124,0,-1,725,0.000000,"\text{Not used}","int((a*x + (a^2*x^2 - b)^(1/2))^(1/4)/(x*(a^2*x^2 - b)^(3/2)),x)","\int \frac{{\left(a\,x+\sqrt{a^2\,x^2-b}\right)}^{1/4}}{x\,{\left(a^2\,x^2-b\right)}^{3/2}} \,d x","Not used",1,"int((a*x + (a^2*x^2 - b)^(1/2))^(1/4)/(x*(a^2*x^2 - b)^(3/2)), x)","F"
3125,0,-1,723,0.000000,"\text{Not used}","int(-(x*(_C4 - 2*_C3*x^3))/(((_C4 + _C0*x + _C3*x^3)/(_C4 + _C1*x + _C3*x^3))^(1/3)*(_C4 - x + _C3*x^3)*(_C4*x + _C3*x^4 + _C4^2 + x^2 + _C3^2*x^6 + 2*_C3*_C4*x^3)),x)","\int -\frac{x\,\left(_{\mathrm{C4}}-2\,_{\mathrm{C3}}\,x^3\right)}{{\left(\frac{_{\mathrm{C3}}\,x^3+_{\mathrm{C0}}\,x+_{\mathrm{C4}}}{_{\mathrm{C3}}\,x^3+_{\mathrm{C1}}\,x+_{\mathrm{C4}}}\right)}^{1/3}\,\left(_{\mathrm{C3}}\,x^3-x+_{\mathrm{C4}}\right)\,\left({_{\mathrm{C3}}}^2\,x^6+2\,_{\mathrm{C3}}\,_{\mathrm{C4}}\,x^3+_{\mathrm{C3}}\,x^4+{_{\mathrm{C4}}}^2+_{\mathrm{C4}}\,x+x^2\right)} \,d x","Not used",1,"int(-(x*(_C4 - 2*_C3*x^3))/(((_C4 + _C0*x + _C3*x^3)/(_C4 + _C1*x + _C3*x^3))^(1/3)*(_C4 - x + _C3*x^3)*(_C4*x + _C3*x^4 + _C4^2 + x^2 + _C3^2*x^6 + 2*_C3*_C4*x^3)), x)","F"
3126,0,-1,747,0.000000,"\text{Not used}","int(-((a*x + (b^2 + a^2*x^2)^(1/2))^(1/2)*(d - c*x))/(d + c*x),x)","\int -\frac{\sqrt{a\,x+\sqrt{a^2\,x^2+b^2}}\,\left(d-c\,x\right)}{d+c\,x} \,d x","Not used",1,"int(-((a*x + (b^2 + a^2*x^2)^(1/2))^(1/2)*(d - c*x))/(d + c*x), x)","F"
3127,0,-1,752,0.000000,"\text{Not used}","int((-x/(a*x - 3*a*x^3 + 3*a*x^5 - a*x^7 - 3*x^2 + 3*x^4 - x^6 + 1))^(1/3)/x^3,x)","\int \frac{{\left(-\frac{x}{-a\,x^7-x^6+3\,a\,x^5+3\,x^4-3\,a\,x^3-3\,x^2+a\,x+1}\right)}^{1/3}}{x^3} \,d x","Not used",1,"int((-x/(a*x - 3*a*x^3 + 3*a*x^5 - a*x^7 - 3*x^2 + 3*x^4 - x^6 + 1))^(1/3)/x^3, x)","F"
3128,0,-1,757,0.000000,"\text{Not used}","int(-1/((c + a*b*x)^2*(c + b*x + a*x^2)^(1/2) - a*b*c),x)","\int -\frac{1}{{\left(c+a\,b\,x\right)}^2\,\sqrt{a\,x^2+b\,x+c}-a\,b\,c} \,d x","Not used",1,"int(-1/((c + a*b*x)^2*(c + b*x + a*x^2)^(1/2) - a*b*c), x)","F"
3129,0,-1,757,0.000000,"\text{Not used}","int((a*x + (a^2*x^2 - b)^(1/2))^(1/4)/(x^2*(a^2*x^2 - b)^(3/2)),x)","\int \frac{{\left(a\,x+\sqrt{a^2\,x^2-b}\right)}^{1/4}}{x^2\,{\left(a^2\,x^2-b\right)}^{3/2}} \,d x","Not used",1,"int((a*x + (a^2*x^2 - b)^(1/2))^(1/4)/(x^2*(a^2*x^2 - b)^(3/2)), x)","F"
3130,0,-1,773,0.000000,"\text{Not used}","int(((x^2 - 1)*(_C4 + _C5*((_C0 + _C1*x)/(_C2 + _C3*x))^(1/2))^(1/2))/(x^2 + 1),x)","\int \frac{\left(x^2-1\right)\,\sqrt{_{\mathrm{C4}}+_{\mathrm{C5}}\,\sqrt{\frac{_{\mathrm{C0}}+_{\mathrm{C1}}\,x}{_{\mathrm{C2}}+_{\mathrm{C3}}\,x}}}}{x^2+1} \,d x","Not used",1,"int(((x^2 - 1)*(_C4 + _C5*((_C0 + _C1*x)/(_C2 + _C3*x))^(1/2))^(1/2))/(x^2 + 1), x)","F"
3131,0,-1,787,0.000000,"\text{Not used}","int((a^2*x^2 - b)^(1/2)/(c + (a*x + (a^2*x^2 - b)^(1/2))^(1/3))^(1/4),x)","\int \frac{\sqrt{a^2\,x^2-b}}{{\left(c+{\left(a\,x+\sqrt{a^2\,x^2-b}\right)}^{1/3}\right)}^{1/4}} \,d x","Not used",1,"int((a^2*x^2 - b)^(1/2)/(c + (a*x + (a^2*x^2 - b)^(1/2))^(1/3))^(1/4), x)","F"
3132,0,-1,803,0.000000,"\text{Not used}","int((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)","\int \frac{\sqrt{a^2\,x^2-b}}{{\left(a\,x+\sqrt{a^2\,x^2-b}\right)}^{1/3}\,{\left(c+{\left(a\,x+\sqrt{a^2\,x^2-b}\right)}^{1/3}\right)}^{1/4}} \,d x","Not used",1,"int((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)","F"
3133,0,-1,827,0.000000,"\text{Not used}","int(((b + a*x^4)*(a*x^4 - b - c*x^2)^(1/2))/(b - a*x^4)^2,x)","\int \frac{\left(a\,x^4+b\right)\,\sqrt{a\,x^4-c\,x^2-b}}{{\left(b-a\,x^4\right)}^2} \,d x","Not used",1,"int(((b + a*x^4)*(a*x^4 - b - c*x^2)^(1/2))/(b - a*x^4)^2, x)","F"
3134,0,-1,849,0.000000,"\text{Not used}","int(-(a + b*c - x*(c + 1))/((-(a - x)*(b - x)^2)^(2/3)*(a - b*d + x*(d - 1))),x)","\int -\frac{a+b\,c-x\,\left(c+1\right)}{{\left(-\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{2/3}\,\left(a-b\,d+x\,\left(d-1\right)\right)} \,d x","Not used",1,"int(-(a + b*c - x*(c + 1))/((-(a - x)*(b - x)^2)^(2/3)*(a - b*d + x*(d - 1))), x)","F"
3135,0,-1,857,0.000000,"\text{Not used}","int((a + b*c - x*(c + 1))/((b - x)*(-(a - x)*(b - x)^2)^(1/3)*(a - b*d + x*(d - 1))),x)","-\int -\frac{a+b\,c-x\,\left(c+1\right)}{\left(b-x\right)\,{\left(-\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{1/3}\,\left(a-b\,d+x\,\left(d-1\right)\right)} \,d x","Not used",1,"-int(-(a + b*c - x*(c + 1))/((b - x)*(-(a - x)*(b - x)^2)^(1/3)*(a - b*d + x*(d - 1))), x)","F"
3136,0,-1,876,0.000000,"\text{Not used}","int(((a*x + (a^2*x^2 - b)^(1/2))^(5/4)*(d + c*x^2))/(x*(a^2*x^2 - b)^(5/2)),x)","\int \frac{{\left(a\,x+\sqrt{a^2\,x^2-b}\right)}^{5/4}\,\left(c\,x^2+d\right)}{x\,{\left(a^2\,x^2-b\right)}^{5/2}} \,d x","Not used",1,"int(((a*x + (a^2*x^2 - b)^(1/2))^(5/4)*(d + c*x^2))/(x*(a^2*x^2 - b)^(5/2)), x)","F"
3137,0,-1,884,0.000000,"\text{Not used}","int(1/((_C4 + _C5*((_C0 + _C1*x)/(_C2 + _C3*x))^(1/2))^(1/2)*(_C6 + _C7*x)^2),x)","\int \frac{1}{\sqrt{_{\mathrm{C4}}+_{\mathrm{C5}}\,\sqrt{\frac{_{\mathrm{C0}}+_{\mathrm{C1}}\,x}{_{\mathrm{C2}}+_{\mathrm{C3}}\,x}}}\,{\left(_{\mathrm{C6}}+_{\mathrm{C7}}\,x\right)}^2} \,d x","Not used",1,"int(1/((_C4 + _C5*((_C0 + _C1*x)/(_C2 + _C3*x))^(1/2))^(1/2)*(_C6 + _C7*x)^2), x)","F"
3138,-1,-1,887,0.000000,"\text{Not used}","int(((-(b*x - 1)/(c + x))^(1/6)*(d*x^2 + 1))/((b*x + 1)*(c*x + 1)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
3139,0,-1,963,0.000000,"\text{Not used}","int(((a*x + (a^2*x^2 - b)^(1/2))^(3/4)*(a^2*x^2 - b)^(1/2))/(c + (a*x + (a^2*x^2 - b)^(1/2))^(1/4))^(2/3),x)","\int \frac{{\left(a\,x+\sqrt{a^2\,x^2-b}\right)}^{3/4}\,\sqrt{a^2\,x^2-b}}{{\left(c+{\left(a\,x+\sqrt{a^2\,x^2-b}\right)}^{1/4}\right)}^{2/3}} \,d x","Not used",1,"int(((a*x + (a^2*x^2 - b)^(1/2))^(3/4)*(a^2*x^2 - b)^(1/2))/(c + (a*x + (a^2*x^2 - b)^(1/2))^(1/4))^(2/3), x)","F"
3140,0,-1,1178,0.000000,"\text{Not used}","int((_C6 + _C7*x)/(_C4 + _C5*((_C0 + _C1*x)/(_C2 + _C3*x))^(1/2))^(1/2),x)","\int \frac{_{\mathrm{C6}}+_{\mathrm{C7}}\,x}{\sqrt{_{\mathrm{C4}}+_{\mathrm{C5}}\,\sqrt{\frac{_{\mathrm{C0}}+_{\mathrm{C1}}\,x}{_{\mathrm{C2}}+_{\mathrm{C3}}\,x}}}} \,d x","Not used",1,"int((_C6 + _C7*x)/(_C4 + _C5*((_C0 + _C1*x)/(_C2 + _C3*x))^(1/2))^(1/2), x)","F"
3141,0,-1,1186,0.000000,"\text{Not used}","int((a^2*x^2 - b)^(1/2)/(c + (a*x + (a^2*x^2 - b)^(1/2))^(1/4))^(2/3),x)","\int \frac{\sqrt{a^2\,x^2-b}}{{\left(c+{\left(a\,x+\sqrt{a^2\,x^2-b}\right)}^{1/4}\right)}^{2/3}} \,d x","Not used",1,"int((a^2*x^2 - b)^(1/2)/(c + (a*x + (a^2*x^2 - b)^(1/2))^(1/4))^(2/3), x)","F"
3142,0,-1,1202,0.000000,"\text{Not used}","int(((b + a^2*x^2)^(1/2) + a*x)^(1/2)*(b + a^2*x^2)^(3/2)*(c + ((b + a^2*x^2)^(1/2) + a*x)^(1/2))^(1/2),x)","\int \sqrt{\sqrt{a^2\,x^2+b}+a\,x}\,{\left(a^2\,x^2+b\right)}^{3/2}\,\sqrt{c+\sqrt{\sqrt{a^2\,x^2+b}+a\,x}} \,d x","Not used",1,"int(((b + a^2*x^2)^(1/2) + a*x)^(1/2)*(b + a^2*x^2)^(3/2)*(c + ((b + a^2*x^2)^(1/2) + a*x)^(1/2))^(1/2), x)","F"
3143,0,-1,1225,0.000000,"\text{Not used}","int(((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)","\int \frac{{\left(c+{\left(a\,x+\sqrt{a^2\,x^2-b}\right)}^{1/4}\right)}^{1/3}\,\sqrt{a^2\,x^2-b}}{{\left(a\,x+\sqrt{a^2\,x^2-b}\right)}^{1/4}} \,d x","Not used",1,"int(((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)","F"
3144,0,-1,1293,0.000000,"\text{Not used}","int((a^2*x^2 - b^2*x + a*b*c)/((c + b*x^2)^2*(c + b*x + a*x^2)^(1/2)),x)","\int \frac{a^2\,x^2+c\,a\,b-b^2\,x}{{\left(b\,x^2+c\right)}^2\,\sqrt{a\,x^2+b\,x+c}} \,d x","Not used",1,"int((a^2*x^2 - b^2*x + a*b*c)/((c + b*x^2)^2*(c + b*x + a*x^2)^(1/2)), x)","F"
3145,0,-1,1310,0.000000,"\text{Not used}","int(((a*x^2 + b^2)^2*(b + (a*x^2 + b^2)^(1/2))^(1/2))/(a*x^2 - b^2)^2,x)","\int \frac{{\left(b^2+a\,x^2\right)}^2\,\sqrt{b+\sqrt{b^2+a\,x^2}}}{{\left(a\,x^2-b^2\right)}^2} \,d x","Not used",1,"int(((a*x^2 + b^2)^2*(b + (a*x^2 + b^2)^(1/2))^(1/2))/(a*x^2 - b^2)^2, x)","F"
3146,0,-1,1356,0.000000,"\text{Not used}","int(((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)/((b + a^2*x^4)^(1/2)*(d + c*x)^2),x)","\int \frac{\sqrt{\sqrt{a^2\,x^4+b}+a\,x^2}}{\sqrt{a^2\,x^4+b}\,{\left(d+c\,x\right)}^2} \,d x","Not used",1,"int(((b + a^2*x^4)^(1/2) + a*x^2)^(1/2)/((b + a^2*x^4)^(1/2)*(d + c*x)^2), x)","F"
3147,0,-1,1387,0.000000,"\text{Not used}","int((b + a*c - x*(c + 1))/((a - x)*(-(a - x)*(b - x)^2)^(1/3)*(b - a*d + x*(d - 1))),x)","-\int -\frac{b+a\,c-x\,\left(c+1\right)}{\left(a-x\right)\,{\left(-\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{1/3}\,\left(b-a\,d+x\,\left(d-1\right)\right)} \,d x","Not used",1,"-int(-(b + a*c - x*(c + 1))/((a - x)*(-(a - x)*(b - x)^2)^(1/3)*(b - a*d + x*(d - 1))), x)","F"
3148,0,-1,1655,0.000000,"\text{Not used}","int(-(a + b*c - x*(c + 1))/((-(a - x)*(b - x)^2)^(1/3)*(b^2*d + 2*x*(a - b*d) - a^2 + x^2*(d - 1))),x)","-\int \frac{a+b\,c-x\,\left(c+1\right)}{{\left(-\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{1/3}\,\left(b^2\,d+2\,x\,\left(a-b\,d\right)-a^2+x^2\,\left(d-1\right)\right)} \,d x","Not used",1,"-int((a + b*c - x*(c + 1))/((-(a - x)*(b - x)^2)^(1/3)*(b^2*d + 2*x*(a - b*d) - a^2 + x^2*(d - 1))), x)","F"
3149,0,-1,1707,0.000000,"\text{Not used}","int(-(b + a*c - x*(c + 1))/((-(a - x)*(b - x)^2)^(1/3)*(a^2*d + 2*x*(b - a*d) - b^2 + x^2*(d - 1))),x)","-\int \frac{b+a\,c-x\,\left(c+1\right)}{{\left(-\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{1/3}\,\left(a^2\,d+2\,x\,\left(b-a\,d\right)-b^2+x^2\,\left(d-1\right)\right)} \,d x","Not used",1,"-int((b + a*c - x*(c + 1))/((-(a - x)*(b - x)^2)^(1/3)*(a^2*d + 2*x*(b - a*d) - b^2 + x^2*(d - 1))), x)","F"
3150,0,-1,1716,0.000000,"\text{Not used}","int((_C8 + _C9*x)/((_C4 + _C5*((_C0 + _C1*x)/(_C2 + _C3*x))^(1/2))^(1/2)*(_C6 + _C7*x)),x)","\int \frac{_{\mathrm{C8}}+_{\mathrm{C9}}\,x}{\sqrt{_{\mathrm{C4}}+_{\mathrm{C5}}\,\sqrt{\frac{_{\mathrm{C0}}+_{\mathrm{C1}}\,x}{_{\mathrm{C2}}+_{\mathrm{C3}}\,x}}}\,\left(_{\mathrm{C6}}+_{\mathrm{C7}}\,x\right)} \,d x","Not used",1,"int((_C8 + _C9*x)/((_C4 + _C5*((_C0 + _C1*x)/(_C2 + _C3*x))^(1/2))^(1/2)*(_C6 + _C7*x)), x)","F"
3151,0,-1,1835,0.000000,"\text{Not used}","int(((b - x)*(a + b*c - x*(c + 1)))/((-(a - x)*(b - x)^2)^(2/3)*(b^2*d + 2*x*(a - b*d) - a^2 + x^2*(d - 1))),x)","-\int -\frac{\left(b-x\right)\,\left(a+b\,c-x\,\left(c+1\right)\right)}{{\left(-\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{2/3}\,\left(b^2\,d+2\,x\,\left(a-b\,d\right)-a^2+x^2\,\left(d-1\right)\right)} \,d x","Not used",1,"-int(-((b - x)*(a + b*c - x*(c + 1)))/((-(a - x)*(b - x)^2)^(2/3)*(b^2*d + 2*x*(a - b*d) - a^2 + x^2*(d - 1))), x)","F"
3152,0,-1,1886,0.000000,"\text{Not used}","int(((b - x)*(b + a*c - x*(c + 1)))/((-(a - x)*(b - x)^2)^(2/3)*(a^2*d + 2*x*(b - a*d) - b^2 + x^2*(d - 1))),x)","-\int -\frac{\left(b-x\right)\,\left(b+a\,c-x\,\left(c+1\right)\right)}{{\left(-\left(a-x\right)\,{\left(b-x\right)}^2\right)}^{2/3}\,\left(a^2\,d+2\,x\,\left(b-a\,d\right)-b^2+x^2\,\left(d-1\right)\right)} \,d x","Not used",1,"-int(-((b - x)*(b + a*c - x*(c + 1)))/((-(a - x)*(b - x)^2)^(2/3)*(a^2*d + 2*x*(b - a*d) - b^2 + x^2*(d - 1))), x)","F"
3153,-1,-1,1916,0.000000,"\text{Not used}","int((x^2 - c*x^2*((b + a*x)/(d + c*x))^(3/2))/(a - b*((b + a*x)/(d + c*x))^(1/2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
3154,0,-1,3329,0.000000,"\text{Not used}","int((_C6 + _C7*x)^2/(_C4 + _C5*((_C0 + _C1*x)/(_C2 + _C3*x))^(1/2))^(1/2),x)","\int \frac{{\left(_{\mathrm{C6}}+_{\mathrm{C7}}\,x\right)}^2}{\sqrt{_{\mathrm{C4}}+_{\mathrm{C5}}\,\sqrt{\frac{_{\mathrm{C0}}+_{\mathrm{C1}}\,x}{_{\mathrm{C2}}+_{\mathrm{C3}}\,x}}}} \,d x","Not used",1,"int((_C6 + _C7*x)^2/(_C4 + _C5*((_C0 + _C1*x)/(_C2 + _C3*x))^(1/2))^(1/2), x)","F"