1,1,8,0,0.173990," ","integrate(x/(x**2-1)**(3/4),x)","2 \sqrt[4]{x^{2} - 1}"," ",0,"2*(x**2 - 1)**(1/4)","A",0
2,1,10,0,0.136258," ","integrate((3*x**2+1)/(x**3+x-1)**(1/2),x)","2 \sqrt{x^{3} + x - 1}"," ",0,"2*sqrt(x**3 + x - 1)","A",0
3,0,0,0,0.000000," ","integrate((x**8-1)/(x**4-1)**(1/2)/(x**8-2*x**4+1),x)","\int \frac{x^{4} + 1}{\sqrt{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x**4 + 1)/(sqrt((x - 1)*(x + 1)*(x**2 + 1))*(x - 1)*(x + 1)*(x**2 + 1)), x)","F",0
4,1,10,0,0.123956," ","integrate(x/(x**2-1)**(1/3),x)","\frac{3 \left(x^{2} - 1\right)^{\frac{2}{3}}}{4}"," ",0,"3*(x**2 - 1)**(2/3)/4","A",0
5,1,10,0,0.146729," ","integrate(x/(x**2-1)**(1/4),x)","\frac{2 \left(x^{2} - 1\right)^{\frac{3}{4}}}{3}"," ",0,"2*(x**2 - 1)**(3/4)/3","A",0
6,1,26,0,0.168419," ","integrate(x*(x**2-1)**(1/4),x)","\frac{2 x^{2} \sqrt[4]{x^{2} - 1}}{5} - \frac{2 \sqrt[4]{x^{2} - 1}}{5}"," ",0,"2*x**2*(x**2 - 1)**(1/4)/5 - 2*(x**2 - 1)**(1/4)/5","B",0
7,1,26,0,0.138074," ","integrate(x*(x**2-1)**(1/3),x)","\frac{3 x^{2} \sqrt[3]{x^{2} - 1}}{8} - \frac{3 \sqrt[3]{x^{2} - 1}}{8}"," ",0,"3*x**2*(x**2 - 1)**(1/3)/8 - 3*(x**2 - 1)**(1/3)/8","B",0
8,1,26,0,0.216025," ","integrate(x*(x**2-1)**(2/3),x)","\frac{3 x^{2} \left(x^{2} - 1\right)^{\frac{2}{3}}}{10} - \frac{3 \left(x^{2} - 1\right)^{\frac{2}{3}}}{10}"," ",0,"3*x**2*(x**2 - 1)**(2/3)/10 - 3*(x**2 - 1)**(2/3)/10","B",0
9,1,26,0,0.456179," ","integrate(x*(x**2-1)**(3/4),x)","\frac{2 x^{2} \left(x^{2} - 1\right)^{\frac{3}{4}}}{7} - \frac{2 \left(x^{2} - 1\right)^{\frac{3}{4}}}{7}"," ",0,"2*x**2*(x**2 - 1)**(3/4)/7 - 2*(x**2 - 1)**(3/4)/7","B",0
10,1,10,0,0.124505," ","integrate(x/(x**2+1)**(1/3),x)","\frac{3 \left(x^{2} + 1\right)^{\frac{2}{3}}}{4}"," ",0,"3*(x**2 + 1)**(2/3)/4","A",0
11,1,10,0,0.145662," ","integrate(x/(x**2+1)**(1/4),x)","\frac{2 \left(x^{2} + 1\right)^{\frac{3}{4}}}{3}"," ",0,"2*(x**2 + 1)**(3/4)/3","A",0
12,1,26,0,0.167426," ","integrate(x*(x**2+1)**(1/4),x)","\frac{2 x^{2} \sqrt[4]{x^{2} + 1}}{5} + \frac{2 \sqrt[4]{x^{2} + 1}}{5}"," ",0,"2*x**2*(x**2 + 1)**(1/4)/5 + 2*(x**2 + 1)**(1/4)/5","B",0
13,1,26,0,0.136219," ","integrate(x*(x**2+1)**(1/3),x)","\frac{3 x^{2} \sqrt[3]{x^{2} + 1}}{8} + \frac{3 \sqrt[3]{x^{2} + 1}}{8}"," ",0,"3*x**2*(x**2 + 1)**(1/3)/8 + 3*(x**2 + 1)**(1/3)/8","B",0
14,1,26,0,0.458127," ","integrate(x*(x**2+1)**(3/4),x)","\frac{2 x^{2} \left(x^{2} + 1\right)^{\frac{3}{4}}}{7} + \frac{2 \left(x^{2} + 1\right)^{\frac{3}{4}}}{7}"," ",0,"2*x**2*(x**2 + 1)**(3/4)/7 + 2*(x**2 + 1)**(3/4)/7","B",0
15,1,10,0,0.148728," ","integrate(x**2/(x**3-1)**(1/4),x)","\frac{4 \left(x^{3} - 1\right)^{\frac{3}{4}}}{9}"," ",0,"4*(x**3 - 1)**(3/4)/9","A",0
16,1,26,0,0.211304," ","integrate(x**2*(x**3-1)**(1/4),x)","\frac{4 x^{3} \sqrt[4]{x^{3} - 1}}{15} - \frac{4 \sqrt[4]{x^{3} - 1}}{15}"," ",0,"4*x**3*(x**3 - 1)**(1/4)/15 - 4*(x**3 - 1)**(1/4)/15","B",0
17,1,26,0,0.577225," ","integrate(x**2*(x**3-1)**(3/4),x)","\frac{4 x^{3} \left(x^{3} - 1\right)^{\frac{3}{4}}}{21} - \frac{4 \left(x^{3} - 1\right)^{\frac{3}{4}}}{21}"," ",0,"4*x**3*(x**3 - 1)**(3/4)/21 - 4*(x**3 - 1)**(3/4)/21","B",0
18,1,10,0,0.126481," ","integrate(x**2/(x**3+1)**(1/2),x)","\frac{2 \sqrt{x^{3} + 1}}{3}"," ",0,"2*sqrt(x**3 + 1)/3","A",0
19,1,10,0,0.145895," ","integrate(x**2/(x**3+1)**(1/4),x)","\frac{4 \left(x^{3} + 1\right)^{\frac{3}{4}}}{9}"," ",0,"4*(x**3 + 1)**(3/4)/9","A",0
20,1,26,0,0.205598," ","integrate(x**2*(x**3+1)**(1/4),x)","\frac{4 x^{3} \sqrt[4]{x^{3} + 1}}{15} + \frac{4 \sqrt[4]{x^{3} + 1}}{15}"," ",0,"4*x**3*(x**3 + 1)**(1/4)/15 + 4*(x**3 + 1)**(1/4)/15","B",0
21,1,22,0,0.162038," ","integrate(x**2*(x**3+1)**(1/3),x)","\frac{x^{3} \sqrt[3]{x^{3} + 1}}{4} + \frac{\sqrt[3]{x^{3} + 1}}{4}"," ",0,"x**3*(x**3 + 1)**(1/3)/4 + (x**3 + 1)**(1/3)/4","B",0
22,1,26,0,0.139000," ","integrate(x**2*(x**3+1)**(1/2),x)","\frac{2 x^{3} \sqrt{x^{3} + 1}}{9} + \frac{2 \sqrt{x^{3} + 1}}{9}"," ",0,"2*x**3*sqrt(x**3 + 1)/9 + 2*sqrt(x**3 + 1)/9","B",0
23,1,22,0,0.272697," ","integrate(x**2*(x**3+1)**(2/3),x)","\frac{x^{3} \left(x^{3} + 1\right)^{\frac{2}{3}}}{5} + \frac{\left(x^{3} + 1\right)^{\frac{2}{3}}}{5}"," ",0,"x**3*(x**3 + 1)**(2/3)/5 + (x**3 + 1)**(2/3)/5","B",0
24,1,26,0,0.568097," ","integrate(x**2*(x**3+1)**(3/4),x)","\frac{4 x^{3} \left(x^{3} + 1\right)^{\frac{3}{4}}}{21} + \frac{4 \left(x^{3} + 1\right)^{\frac{3}{4}}}{21}"," ",0,"4*x**3*(x**3 + 1)**(3/4)/21 + 4*(x**3 + 1)**(3/4)/21","B",0
25,1,27,0,0.173820," ","integrate((3*x**2+1)*(x**3+x)**(1/3),x)","\frac{3 x^{3} \sqrt[3]{x^{3} + x}}{4} + \frac{3 x \sqrt[3]{x^{3} + x}}{4}"," ",0,"3*x**3*(x**3 + x)**(1/3)/4 + 3*x*(x**3 + x)**(1/3)/4","B",0
26,1,61,0,0.582476," ","integrate(1/x**2/(x**4-1)**(3/4),x)","\begin{cases} - \frac{\sqrt[4]{-1 + \frac{1}{x^{4}}} e^{\frac{i \pi}{4}} \Gamma\left(- \frac{1}{4}\right)}{4 \Gamma\left(\frac{3}{4}\right)} & \text{for}\: \frac{1}{\left|{x^{4}}\right|} > 1 \\- \frac{\sqrt[4]{1 - \frac{1}{x^{4}}} \Gamma\left(- \frac{1}{4}\right)}{4 \Gamma\left(\frac{3}{4}\right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-(-1 + x**(-4))**(1/4)*exp(I*pi/4)*gamma(-1/4)/(4*gamma(3/4)), 1/Abs(x**4) > 1), (-(1 - 1/x**4)**(1/4)*gamma(-1/4)/(4*gamma(3/4)), True))","B",0
27,1,10,0,0.145598," ","integrate(x**3/(x**4-1)**(1/3),x)","\frac{3 \left(x^{4} - 1\right)^{\frac{2}{3}}}{8}"," ",0,"3*(x**4 - 1)**(2/3)/8","A",0
28,1,26,0,0.210562," ","integrate(x**3*(x**4-1)**(1/3),x)","\frac{3 x^{4} \sqrt[3]{x^{4} - 1}}{16} - \frac{3 \sqrt[3]{x^{4} - 1}}{16}"," ",0,"3*x**4*(x**4 - 1)**(1/3)/16 - 3*(x**4 - 1)**(1/3)/16","B",0
29,1,26,0,0.360716," ","integrate(x**3*(x**4-1)**(2/3),x)","\frac{3 x^{4} \left(x^{4} - 1\right)^{\frac{2}{3}}}{20} - \frac{3 \left(x^{4} - 1\right)^{\frac{2}{3}}}{20}"," ",0,"3*x**4*(x**4 - 1)**(2/3)/20 - 3*(x**4 - 1)**(2/3)/20","B",0
30,1,22,0,0.726584," ","integrate(x**3*(x**4-1)**(3/4),x)","\frac{x^{4} \left(x^{4} - 1\right)^{\frac{3}{4}}}{7} - \frac{\left(x^{4} - 1\right)^{\frac{3}{4}}}{7}"," ",0,"x**4*(x**4 - 1)**(3/4)/7 - (x**4 - 1)**(3/4)/7","B",0
31,1,61,0,1.514609," ","integrate((x**4-1)/x**2/(x**4+1)**(1/2),x)","\frac{x^{3} \Gamma\left(\frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{2}, \frac{3}{4} \\ \frac{7}{4} \end{matrix}\middle| {x^{4} e^{i \pi}} \right)}}{4 \Gamma\left(\frac{7}{4}\right)} - \frac{\Gamma\left(- \frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{4}, \frac{1}{2} \\ \frac{3}{4} \end{matrix}\middle| {x^{4} e^{i \pi}} \right)}}{4 x \Gamma\left(\frac{3}{4}\right)}"," ",0,"x**3*gamma(3/4)*hyper((1/2, 3/4), (7/4,), x**4*exp_polar(I*pi))/(4*gamma(7/4)) - gamma(-1/4)*hyper((-1/4, 1/2), (3/4,), x**4*exp_polar(I*pi))/(4*x*gamma(3/4))","C",0
32,1,10,0,0.147028," ","integrate(x**3/(x**4+1)**(1/3),x)","\frac{3 \left(x^{4} + 1\right)^{\frac{2}{3}}}{8}"," ",0,"3*(x**4 + 1)**(2/3)/8","A",0
33,1,22,0,0.260464," ","integrate(x**3*(x**4+1)**(1/4),x)","\frac{x^{4} \sqrt[4]{x^{4} + 1}}{5} + \frac{\sqrt[4]{x^{4} + 1}}{5}"," ",0,"x**4*(x**4 + 1)**(1/4)/5 + (x**4 + 1)**(1/4)/5","B",0
34,1,26,0,0.207556," ","integrate(x**3*(x**4+1)**(1/3),x)","\frac{3 x^{4} \sqrt[3]{x^{4} + 1}}{16} + \frac{3 \sqrt[3]{x^{4} + 1}}{16}"," ",0,"3*x**4*(x**4 + 1)**(1/3)/16 + 3*(x**4 + 1)**(1/3)/16","B",0
35,1,26,0,0.360593," ","integrate(x**3*(x**4+1)**(2/3),x)","\frac{3 x^{4} \left(x^{4} + 1\right)^{\frac{2}{3}}}{20} + \frac{3 \left(x^{4} + 1\right)^{\frac{2}{3}}}{20}"," ",0,"3*x**4*(x**4 + 1)**(2/3)/20 + 3*(x**4 + 1)**(2/3)/20","B",0
36,1,26,0,0.423616," ","integrate(x**4*(x**5-1)**(2/3),x)","\frac{3 x^{5} \left(x^{5} - 1\right)^{\frac{2}{3}}}{25} - \frac{3 \left(x^{5} - 1\right)^{\frac{2}{3}}}{25}"," ",0,"3*x**5*(x**5 - 1)**(2/3)/25 - 3*(x**5 - 1)**(2/3)/25","B",0
37,1,26,0,0.423007," ","integrate(x**4*(x**5+1)**(2/3),x)","\frac{3 x^{5} \left(x^{5} + 1\right)^{\frac{2}{3}}}{25} + \frac{3 \left(x^{5} + 1\right)^{\frac{2}{3}}}{25}"," ",0,"3*x**5*(x**5 + 1)**(2/3)/25 + 3*(x**5 + 1)**(2/3)/25","B",0
38,1,8,0,0.211558," ","integrate(x**5/(x**6-1)**(1/3),x)","\frac{\left(x^{6} - 1\right)^{\frac{2}{3}}}{4}"," ",0,"(x**6 - 1)**(2/3)/4","A",0
39,1,26,0,0.424584," ","integrate(x**5*(x**6-1)**(1/4),x)","\frac{2 x^{6} \sqrt[4]{x^{6} - 1}}{15} - \frac{2 \sqrt[4]{x^{6} - 1}}{15}"," ",0,"2*x**6*(x**6 - 1)**(1/4)/15 - 2*(x**6 - 1)**(1/4)/15","B",0
40,1,22,0,0.346885," ","integrate(x**5*(x**6-1)**(1/3),x)","\frac{x^{6} \sqrt[3]{x^{6} - 1}}{8} - \frac{\sqrt[3]{x^{6} - 1}}{8}"," ",0,"x**6*(x**6 - 1)**(1/3)/8 - (x**6 - 1)**(1/3)/8","B",0
41,1,22,0,0.268386," ","integrate(x**5*(x**6-1)**(1/2),x)","\frac{x^{6} \sqrt{x^{6} - 1}}{9} - \frac{\sqrt{x^{6} - 1}}{9}"," ",0,"x**6*sqrt(x**6 - 1)/9 - sqrt(x**6 - 1)/9","B",0
42,1,26,0,1.123728," ","integrate(x**5*(x**6-1)**(3/4),x)","\frac{2 x^{6} \left(x^{6} - 1\right)^{\frac{3}{4}}}{21} - \frac{2 \left(x^{6} - 1\right)^{\frac{3}{4}}}{21}"," ",0,"2*x**6*(x**6 - 1)**(3/4)/21 - 2*(x**6 - 1)**(3/4)/21","B",0
43,1,63,0,2.069610," ","integrate((x**6-2)/x**3/(x**6+1)**(1/2),x)","\frac{x^{4} \Gamma\left(\frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{2}, \frac{2}{3} \\ \frac{5}{3} \end{matrix}\middle| {x^{6} e^{i \pi}} \right)}}{6 \Gamma\left(\frac{5}{3}\right)} - \frac{\Gamma\left(- \frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, \frac{1}{2} \\ \frac{2}{3} \end{matrix}\middle| {x^{6} e^{i \pi}} \right)}}{3 x^{2} \Gamma\left(\frac{2}{3}\right)}"," ",0,"x**4*gamma(2/3)*hyper((1/2, 2/3), (5/3,), x**6*exp_polar(I*pi))/(6*gamma(5/3)) - gamma(-1/3)*hyper((-1/3, 1/2), (2/3,), x**6*exp_polar(I*pi))/(3*x**2*gamma(2/3))","C",0
44,1,8,0,0.215157," ","integrate(x**5/(x**6+1)**(1/3),x)","\frac{\left(x^{6} + 1\right)^{\frac{2}{3}}}{4}"," ",0,"(x**6 + 1)**(2/3)/4","A",0
45,1,26,0,0.423263," ","integrate(x**5*(x**6+1)**(1/4),x)","\frac{2 x^{6} \sqrt[4]{x^{6} + 1}}{15} + \frac{2 \sqrt[4]{x^{6} + 1}}{15}"," ",0,"2*x**6*(x**6 + 1)**(1/4)/15 + 2*(x**6 + 1)**(1/4)/15","B",0
46,1,22,0,0.336925," ","integrate(x**5*(x**6+1)**(1/3),x)","\frac{x^{6} \sqrt[3]{x^{6} + 1}}{8} + \frac{\sqrt[3]{x^{6} + 1}}{8}"," ",0,"x**6*(x**6 + 1)**(1/3)/8 + (x**6 + 1)**(1/3)/8","B",0
47,1,68,0,1.693177," ","integrate((x**3-4)/x**2/(x**3-1)**(3/4),x)","\frac{x^{2} e^{- \frac{3 i \pi}{4}} \Gamma\left(\frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{2}{3}, \frac{3}{4} \\ \frac{5}{3} \end{matrix}\middle| {x^{3}} \right)}}{3 \Gamma\left(\frac{5}{3}\right)} + \frac{4 e^{\frac{i \pi}{4}} \Gamma\left(- \frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, \frac{3}{4} \\ \frac{2}{3} \end{matrix}\middle| {x^{3}} \right)}}{3 x \Gamma\left(\frac{2}{3}\right)}"," ",0,"x**2*exp(-3*I*pi/4)*gamma(2/3)*hyper((2/3, 3/4), (5/3,), x**3)/(3*gamma(5/3)) + 4*exp(I*pi/4)*gamma(-1/3)*hyper((-1/3, 3/4), (2/3,), x**3)/(3*x*gamma(2/3))","C",0
48,1,12,0,0.782802," ","integrate(1/x/(x**3+1)**(1/2),x)","- \frac{2 \operatorname{asinh}{\left(\frac{1}{x^{\frac{3}{2}}} \right)}}{3}"," ",0,"-2*asinh(x**(-3/2))/3","A",0
49,1,63,0,1.602268," ","integrate((x**3+4)/x**2/(x**3+1)**(3/4),x)","\frac{x^{2} \Gamma\left(\frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{2}{3}, \frac{3}{4} \\ \frac{5}{3} \end{matrix}\middle| {x^{3} e^{i \pi}} \right)}}{3 \Gamma\left(\frac{5}{3}\right)} + \frac{4 \Gamma\left(- \frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, \frac{3}{4} \\ \frac{2}{3} \end{matrix}\middle| {x^{3} e^{i \pi}} \right)}}{3 x \Gamma\left(\frac{2}{3}\right)}"," ",0,"x**2*gamma(2/3)*hyper((2/3, 3/4), (5/3,), x**3*exp_polar(I*pi))/(3*gamma(5/3)) + 4*gamma(-1/3)*hyper((-1/3, 3/4), (2/3,), x**3*exp_polar(I*pi))/(3*x*gamma(2/3))","C",0
50,0,0,0,0.000000," ","integrate((3*x**2+2)*(x**3+x)**(1/3)/(x**2+1),x)","\int \frac{\sqrt[3]{x \left(x^{2} + 1\right)} \left(3 x^{2} + 2\right)}{x^{2} + 1}\, dx"," ",0,"Integral((x*(x**2 + 1))**(1/3)*(3*x**2 + 2)/(x**2 + 1), x)","F",0
51,0,0,0,0.000000," ","integrate((-2+x)/(-1+x)/(x**3-x**2)**(1/4),x)","\int \frac{x - 2}{\sqrt[4]{x^{2} \left(x - 1\right)} \left(x - 1\right)}\, dx"," ",0,"Integral((x - 2)/((x**2*(x - 1))**(1/4)*(x - 1)), x)","F",0
52,0,0,0,0.000000," ","integrate((2+x)/(1+x)/(x**3+x**2)**(1/4),x)","\int \frac{x + 2}{\sqrt[4]{x^{2} \left(x + 1\right)} \left(x + 1\right)}\, dx"," ",0,"Integral((x + 2)/((x**2*(x + 1))**(1/4)*(x + 1)), x)","F",0
53,1,22,0,0.554921," ","integrate(1/x**2/(x**4+1)**(3/4),x)","\frac{\sqrt[4]{1 + \frac{1}{x^{4}}} \Gamma\left(- \frac{1}{4}\right)}{4 \Gamma\left(\frac{3}{4}\right)}"," ",0,"(1 + x**(-4))**(1/4)*gamma(-1/4)/(4*gamma(3/4))","B",0
54,1,63,0,1.546221," ","integrate((x**4+3)/x**4/(x**4+1)**(1/2),x)","\frac{x \Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{4}, \frac{1}{2} \\ \frac{5}{4} \end{matrix}\middle| {x^{4} e^{i \pi}} \right)}}{4 \Gamma\left(\frac{5}{4}\right)} + \frac{3 \Gamma\left(- \frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, \frac{1}{2} \\ \frac{1}{4} \end{matrix}\middle| {x^{4} e^{i \pi}} \right)}}{4 x^{3} \Gamma\left(\frac{1}{4}\right)}"," ",0,"x*gamma(1/4)*hyper((1/4, 1/2), (5/4,), x**4*exp_polar(I*pi))/(4*gamma(5/4)) + 3*gamma(-3/4)*hyper((-3/4, 1/2), (1/4,), x**4*exp_polar(I*pi))/(4*x**3*gamma(1/4))","C",0
55,1,12,0,0.163970," ","integrate((4*x**3-1)/(2*x**4-2*x-1)**(1/2),x)","\sqrt{2 x^{4} - 2 x - 1}"," ",0,"sqrt(2*x**4 - 2*x - 1)","A",0
56,1,63,0,1.609036," ","integrate((x**5-4)/x**2/(x**5+1)**(3/4),x)","\frac{x^{4} \Gamma\left(\frac{4}{5}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{4}{5} \\ \frac{9}{5} \end{matrix}\middle| {x^{5} e^{i \pi}} \right)}}{5 \Gamma\left(\frac{9}{5}\right)} - \frac{4 \Gamma\left(- \frac{1}{5}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{5}, \frac{3}{4} \\ \frac{4}{5} \end{matrix}\middle| {x^{5} e^{i \pi}} \right)}}{5 x \Gamma\left(\frac{4}{5}\right)}"," ",0,"x**4*gamma(4/5)*hyper((3/4, 4/5), (9/5,), x**5*exp_polar(I*pi))/(5*gamma(9/5)) - 4*gamma(-1/5)*hyper((-1/5, 3/4), (4/5,), x**5*exp_polar(I*pi))/(5*x*gamma(4/5))","C",0
57,1,68,0,1.692538," ","integrate((x**5+4)/x**2/(x**5-1)**(3/4),x)","\frac{x^{4} e^{- \frac{3 i \pi}{4}} \Gamma\left(\frac{4}{5}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{4}{5} \\ \frac{9}{5} \end{matrix}\middle| {x^{5}} \right)}}{5 \Gamma\left(\frac{9}{5}\right)} - \frac{4 e^{\frac{i \pi}{4}} \Gamma\left(- \frac{1}{5}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{5}, \frac{3}{4} \\ \frac{4}{5} \end{matrix}\middle| {x^{5}} \right)}}{5 x \Gamma\left(\frac{4}{5}\right)}"," ",0,"x**4*exp(-3*I*pi/4)*gamma(4/5)*hyper((3/4, 4/5), (9/5,), x**5)/(5*gamma(9/5)) - 4*exp(I*pi/4)*gamma(-1/5)*hyper((-1/5, 3/4), (4/5,), x**5)/(5*x*gamma(4/5))","C",0
58,0,0,0,0.000000," ","integrate((5*x**3+2)/(x**3+1)**(1/2)/(x**5+x**2+1),x)","\int \frac{5 x^{3} + 2}{\sqrt{\left(x + 1\right) \left(x^{2} - x + 1\right)} \left(x^{5} + x^{2} + 1\right)}\, dx"," ",0,"Integral((5*x**3 + 2)/(sqrt((x + 1)*(x**2 - x + 1))*(x**5 + x**2 + 1)), x)","F",0
59,1,24,0,0.815596," ","integrate(1/x/(x**6-1)**(1/2),x)","\begin{cases} \frac{i \operatorname{acosh}{\left(\frac{1}{x^{3}} \right)}}{3} & \text{for}\: \frac{1}{\left|{x^{6}}\right|} > 1 \\- \frac{\operatorname{asin}{\left(\frac{1}{x^{3}} \right)}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((I*acosh(x**(-3))/3, 1/Abs(x**6) > 1), (-asin(x**(-3))/3, True))","A",0
60,1,61,0,1.775194," ","integrate((x**6-2)/x**2/(x**6+1)**(3/4),x)","\frac{x^{5} \Gamma\left(\frac{5}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{5}{6} \\ \frac{11}{6} \end{matrix}\middle| {x^{6} e^{i \pi}} \right)}}{6 \Gamma\left(\frac{11}{6}\right)} - \frac{\Gamma\left(- \frac{1}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{6}, \frac{3}{4} \\ \frac{5}{6} \end{matrix}\middle| {x^{6} e^{i \pi}} \right)}}{3 x \Gamma\left(\frac{5}{6}\right)}"," ",0,"x**5*gamma(5/6)*hyper((3/4, 5/6), (11/6,), x**6*exp_polar(I*pi))/(6*gamma(11/6)) - gamma(-1/6)*hyper((-1/6, 3/4), (5/6,), x**6*exp_polar(I*pi))/(3*x*gamma(5/6))","C",0
61,1,8,0,0.784038," ","integrate(1/x/(x**6+1)**(1/2),x)","- \frac{\operatorname{asinh}{\left(\frac{1}{x^{3}} \right)}}{3}"," ",0,"-asinh(x**(-3))/3","A",0
62,1,66,0,1.853780," ","integrate((x**6+2)/x**2/(x**6-1)**(3/4),x)","\frac{x^{5} e^{- \frac{3 i \pi}{4}} \Gamma\left(\frac{5}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{5}{6} \\ \frac{11}{6} \end{matrix}\middle| {x^{6}} \right)}}{6 \Gamma\left(\frac{11}{6}\right)} - \frac{e^{\frac{i \pi}{4}} \Gamma\left(- \frac{1}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{6}, \frac{3}{4} \\ \frac{5}{6} \end{matrix}\middle| {x^{6}} \right)}}{3 x \Gamma\left(\frac{5}{6}\right)}"," ",0,"x**5*exp(-3*I*pi/4)*gamma(5/6)*hyper((3/4, 5/6), (11/6,), x**6)/(6*gamma(11/6)) - exp(I*pi/4)*gamma(-1/6)*hyper((-1/6, 3/4), (5/6,), x**6)/(3*x*gamma(5/6))","C",0
63,-1,0,0,0.000000," ","integrate((2*x**6-1)/(x**6+1)**(1/2)/(x**6-x**2+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
64,-1,0,0,0.000000," ","integrate((2*x**6+1)/(x**6-1)**(1/2)/(x**6+x**2-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
65,1,10,0,0.140985," ","integrate((3*x**2-1)/(x**3-x)**(1/3),x)","\frac{3 \left(x^{3} - x\right)^{\frac{2}{3}}}{2}"," ",0,"3*(x**3 - x)**(2/3)/2","A",0
66,1,27,0,0.179818," ","integrate((3*x**2-1)*(x**3-x)**(1/3),x)","\frac{3 x^{3} \sqrt[3]{x^{3} - x}}{4} - \frac{3 x \sqrt[3]{x^{3} - x}}{4}"," ",0,"3*x**3*(x**3 - x)**(1/3)/4 - 3*x*(x**3 - x)**(1/3)/4","B",0
67,0,0,0,0.000000," ","integrate((-x**3+x+2)/(x**3+x+1)**(1/2)/(x**3-x**2+x+1),x)","- \int \left(- \frac{x}{x^{3} \sqrt{x^{3} + x + 1} - x^{2} \sqrt{x^{3} + x + 1} + x \sqrt{x^{3} + x + 1} + \sqrt{x^{3} + x + 1}}\right)\, dx - \int \frac{x^{3}}{x^{3} \sqrt{x^{3} + x + 1} - x^{2} \sqrt{x^{3} + x + 1} + x \sqrt{x^{3} + x + 1} + \sqrt{x^{3} + x + 1}}\, dx - \int \left(- \frac{2}{x^{3} \sqrt{x^{3} + x + 1} - x^{2} \sqrt{x^{3} + x + 1} + x \sqrt{x^{3} + x + 1} + \sqrt{x^{3} + x + 1}}\right)\, dx"," ",0,"-Integral(-x/(x**3*sqrt(x**3 + x + 1) - x**2*sqrt(x**3 + x + 1) + x*sqrt(x**3 + x + 1) + sqrt(x**3 + x + 1)), x) - Integral(x**3/(x**3*sqrt(x**3 + x + 1) - x**2*sqrt(x**3 + x + 1) + x*sqrt(x**3 + x + 1) + sqrt(x**3 + x + 1)), x) - Integral(-2/(x**3*sqrt(x**3 + x + 1) - x**2*sqrt(x**3 + x + 1) + x*sqrt(x**3 + x + 1) + sqrt(x**3 + x + 1)), x)","F",0
68,0,0,0,0.000000," ","integrate((x**4+1)/(-x**4+1)/(x**4+x**2-1)**(1/2),x)","- \int \frac{x^{4}}{x^{4} \sqrt{x^{4} + x^{2} - 1} - \sqrt{x^{4} + x^{2} - 1}}\, dx - \int \frac{1}{x^{4} \sqrt{x^{4} + x^{2} - 1} - \sqrt{x^{4} + x^{2} - 1}}\, dx"," ",0,"-Integral(x**4/(x**4*sqrt(x**4 + x**2 - 1) - sqrt(x**4 + x**2 - 1)), x) - Integral(1/(x**4*sqrt(x**4 + x**2 - 1) - sqrt(x**4 + x**2 - 1)), x)","F",0
69,1,68,0,14.055935," ","integrate((x**3-4)/x**4/(x**3-1)**(1/4),x)","- \frac{\Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{4}, \frac{1}{4} \\ \frac{5}{4} \end{matrix}\middle| {\frac{e^{2 i \pi}}{x^{3}}} \right)}}{3 x^{\frac{3}{4}} \Gamma\left(\frac{5}{4}\right)} + \frac{4 \Gamma\left(\frac{5}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{4}, \frac{5}{4} \\ \frac{9}{4} \end{matrix}\middle| {\frac{e^{2 i \pi}}{x^{3}}} \right)}}{3 x^{\frac{15}{4}} \Gamma\left(\frac{9}{4}\right)}"," ",0,"-gamma(1/4)*hyper((1/4, 1/4), (5/4,), exp_polar(2*I*pi)/x**3)/(3*x**(3/4)*gamma(5/4)) + 4*gamma(5/4)*hyper((1/4, 5/4), (9/4,), exp_polar(2*I*pi)/x**3)/(3*x**(15/4)*gamma(9/4))","C",0
70,1,129,0,0.690176," ","integrate((x**3-1)**(1/3)/x**5,x)","\begin{cases} \frac{\sqrt[3]{-1 + \frac{1}{x^{3}}} e^{- \frac{2 i \pi}{3}} \Gamma\left(- \frac{4}{3}\right)}{3 \Gamma\left(- \frac{1}{3}\right)} - \frac{\sqrt[3]{-1 + \frac{1}{x^{3}}} e^{- \frac{2 i \pi}{3}} \Gamma\left(- \frac{4}{3}\right)}{3 x^{3} \Gamma\left(- \frac{1}{3}\right)} & \text{for}\: \frac{1}{\left|{x^{3}}\right|} > 1 \\- \frac{\sqrt[3]{1 - \frac{1}{x^{3}}} \Gamma\left(- \frac{4}{3}\right)}{3 \Gamma\left(- \frac{1}{3}\right)} + \frac{\sqrt[3]{1 - \frac{1}{x^{3}}} \Gamma\left(- \frac{4}{3}\right)}{3 x^{3} \Gamma\left(- \frac{1}{3}\right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-1 + x**(-3))**(1/3)*exp(-2*I*pi/3)*gamma(-4/3)/(3*gamma(-1/3)) - (-1 + x**(-3))**(1/3)*exp(-2*I*pi/3)*gamma(-4/3)/(3*x**3*gamma(-1/3)), 1/Abs(x**3) > 1), (-(1 - 1/x**3)**(1/3)*gamma(-4/3)/(3*gamma(-1/3)) + (1 - 1/x**3)**(1/3)*gamma(-4/3)/(3*x**3*gamma(-1/3)), True))","B",0
71,1,126,0,0.768760," ","integrate((x**3-1)**(2/3)/x**6,x)","\begin{cases} \frac{\left(-1 + \frac{1}{x^{3}}\right)^{\frac{2}{3}} e^{- \frac{i \pi}{3}} \Gamma\left(- \frac{5}{3}\right)}{3 \Gamma\left(- \frac{2}{3}\right)} - \frac{\left(-1 + \frac{1}{x^{3}}\right)^{\frac{2}{3}} e^{- \frac{i \pi}{3}} \Gamma\left(- \frac{5}{3}\right)}{3 x^{3} \Gamma\left(- \frac{2}{3}\right)} & \text{for}\: \frac{1}{\left|{x^{3}}\right|} > 1 \\- \frac{\left(1 - \frac{1}{x^{3}}\right)^{\frac{2}{3}} \Gamma\left(- \frac{5}{3}\right)}{3 \Gamma\left(- \frac{2}{3}\right)} + \frac{\left(1 - \frac{1}{x^{3}}\right)^{\frac{2}{3}} \Gamma\left(- \frac{5}{3}\right)}{3 x^{3} \Gamma\left(- \frac{2}{3}\right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-1 + x**(-3))**(2/3)*exp(-I*pi/3)*gamma(-5/3)/(3*gamma(-2/3)) - (-1 + x**(-3))**(2/3)*exp(-I*pi/3)*gamma(-5/3)/(3*x**3*gamma(-2/3)), 1/Abs(x**3) > 1), (-(1 - 1/x**3)**(2/3)*gamma(-5/3)/(3*gamma(-2/3)) + (1 - 1/x**3)**(2/3)*gamma(-5/3)/(3*x**3*gamma(-2/3)), True))","B",0
72,1,53,0,0.598646," ","integrate((x**3+1)**(1/3)/x**5,x)","\frac{\sqrt[3]{1 + \frac{1}{x^{3}}} \Gamma\left(- \frac{4}{3}\right)}{3 \Gamma\left(- \frac{1}{3}\right)} + \frac{\sqrt[3]{1 + \frac{1}{x^{3}}} \Gamma\left(- \frac{4}{3}\right)}{3 x^{3} \Gamma\left(- \frac{1}{3}\right)}"," ",0,"(1 + x**(-3))**(1/3)*gamma(-4/3)/(3*gamma(-1/3)) + (1 + x**(-3))**(1/3)*gamma(-4/3)/(3*x**3*gamma(-1/3))","B",0
73,1,53,0,0.674217," ","integrate((x**3+1)**(2/3)/x**6,x)","\frac{\left(1 + \frac{1}{x^{3}}\right)^{\frac{2}{3}} \Gamma\left(- \frac{5}{3}\right)}{3 \Gamma\left(- \frac{2}{3}\right)} + \frac{\left(1 + \frac{1}{x^{3}}\right)^{\frac{2}{3}} \Gamma\left(- \frac{5}{3}\right)}{3 x^{3} \Gamma\left(- \frac{2}{3}\right)}"," ",0,"(1 + x**(-3))**(2/3)*gamma(-5/3)/(3*gamma(-2/3)) + (1 + x**(-3))**(2/3)*gamma(-5/3)/(3*x**3*gamma(-2/3))","B",0
74,1,105,0,2.892418," ","integrate((x**3-2)*(x**3+1)**(3/2)/x**6,x)","\frac{x \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {x^{3} e^{i \pi}} \right)}}{3 \Gamma\left(\frac{4}{3}\right)} - \frac{\Gamma\left(- \frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, - \frac{1}{2} \\ \frac{1}{3} \end{matrix}\middle| {x^{3} e^{i \pi}} \right)}}{3 x^{2} \Gamma\left(\frac{1}{3}\right)} - \frac{2 \Gamma\left(- \frac{5}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{5}{3}, - \frac{1}{2} \\ - \frac{2}{3} \end{matrix}\middle| {x^{3} e^{i \pi}} \right)}}{3 x^{5} \Gamma\left(- \frac{2}{3}\right)}"," ",0,"x*gamma(1/3)*hyper((-1/2, 1/3), (4/3,), x**3*exp_polar(I*pi))/(3*gamma(4/3)) - gamma(-2/3)*hyper((-2/3, -1/2), (1/3,), x**3*exp_polar(I*pi))/(3*x**2*gamma(1/3)) - 2*gamma(-5/3)*hyper((-5/3, -1/2), (-2/3,), x**3*exp_polar(I*pi))/(3*x**5*gamma(-2/3))","C",0
75,1,49,0,46.794734," ","integrate((x**3+4)/x**4/(x**3+1)**(1/4),x)","\frac{1}{3 \left(1 + \frac{1}{\sqrt[4]{x^{3} + 1}}\right)} - \frac{2}{3 \left(1 + \frac{1}{\sqrt{x^{3} + 1}}\right) \sqrt[4]{x^{3} + 1}} + \frac{1}{3 \left(-1 + \frac{1}{\sqrt[4]{x^{3} + 1}}\right)}"," ",0,"1/(3*(1 + (x**3 + 1)**(-1/4))) - 2/(3*(1 + 1/sqrt(x**3 + 1))*(x**3 + 1)**(1/4)) + 1/(3*(-1 + (x**3 + 1)**(-1/4)))","B",0
76,0,0,0,0.000000," ","integrate(1/x**2/(x**3+x)**(1/3),x)","\int \frac{1}{x^{2} \sqrt[3]{x \left(x^{2} + 1\right)}}\, dx"," ",0,"Integral(1/(x**2*(x*(x**2 + 1))**(1/3)), x)","F",0
77,0,0,0,0.000000," ","integrate((x**2+1)*(x**2+3)/x**6/(x**3+x)**(1/4),x)","\int \frac{\left(x^{2} + 1\right) \left(x^{2} + 3\right)}{x^{6} \sqrt[4]{x \left(x^{2} + 1\right)}}\, dx"," ",0,"Integral((x**2 + 1)*(x**2 + 3)/(x**6*(x*(x**2 + 1))**(1/4)), x)","F",0
78,0,0,0,0.000000," ","integrate((x**3+x)**(1/3)/x**4,x)","\int \frac{\sqrt[3]{x \left(x^{2} + 1\right)}}{x^{4}}\, dx"," ",0,"Integral((x*(x**2 + 1))**(1/3)/x**4, x)","F",0
79,1,63,0,0.620898," ","integrate(1/x**4/(x**4-1)**(1/4),x)","\begin{cases} - \frac{\left(-1 + \frac{1}{x^{4}}\right)^{\frac{3}{4}} e^{\frac{3 i \pi}{4}} \Gamma\left(- \frac{3}{4}\right)}{4 \Gamma\left(\frac{1}{4}\right)} & \text{for}\: \frac{1}{\left|{x^{4}}\right|} > 1 \\- \frac{\left(1 - \frac{1}{x^{4}}\right)^{\frac{3}{4}} \Gamma\left(- \frac{3}{4}\right)}{4 \Gamma\left(\frac{1}{4}\right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-(-1 + x**(-4))**(3/4)*exp(3*I*pi/4)*gamma(-3/4)/(4*gamma(1/4)), 1/Abs(x**4) > 1), (-(1 - 1/x**4)**(3/4)*gamma(-3/4)/(4*gamma(1/4)), True))","A",0
80,1,126,0,0.980086," ","integrate((x**4-1)**(3/4)/x**8,x)","\begin{cases} \frac{\left(-1 + \frac{1}{x^{4}}\right)^{\frac{3}{4}} e^{- \frac{i \pi}{4}} \Gamma\left(- \frac{7}{4}\right)}{4 \Gamma\left(- \frac{3}{4}\right)} - \frac{\left(-1 + \frac{1}{x^{4}}\right)^{\frac{3}{4}} e^{- \frac{i \pi}{4}} \Gamma\left(- \frac{7}{4}\right)}{4 x^{4} \Gamma\left(- \frac{3}{4}\right)} & \text{for}\: \frac{1}{\left|{x^{4}}\right|} > 1 \\- \frac{\left(1 - \frac{1}{x^{4}}\right)^{\frac{3}{4}} \Gamma\left(- \frac{7}{4}\right)}{4 \Gamma\left(- \frac{3}{4}\right)} + \frac{\left(1 - \frac{1}{x^{4}}\right)^{\frac{3}{4}} \Gamma\left(- \frac{7}{4}\right)}{4 x^{4} \Gamma\left(- \frac{3}{4}\right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-1 + x**(-4))**(3/4)*exp(-I*pi/4)*gamma(-7/4)/(4*gamma(-3/4)) - (-1 + x**(-4))**(3/4)*exp(-I*pi/4)*gamma(-7/4)/(4*x**4*gamma(-3/4)), 1/Abs(x**4) > 1), (-(1 - 1/x**4)**(3/4)*gamma(-7/4)/(4*gamma(-3/4)) + (1 - 1/x**4)**(3/4)*gamma(-7/4)/(4*x**4*gamma(-3/4)), True))","B",0
81,0,0,0,0.000000," ","integrate((x**4-1)/x**2/(x**3+x)**(1/2),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}{x^{2} \sqrt{x \left(x^{2} + 1\right)}}\, dx"," ",0,"Integral((x - 1)*(x + 1)*(x**2 + 1)/(x**2*sqrt(x*(x**2 + 1))), x)","F",0
82,1,22,0,0.575388," ","integrate(1/x**4/(x**4+1)**(1/4),x)","\frac{\left(1 + \frac{1}{x^{4}}\right)^{\frac{3}{4}} \Gamma\left(- \frac{3}{4}\right)}{4 \Gamma\left(\frac{1}{4}\right)}"," ",0,"(1 + x**(-4))**(3/4)*gamma(-3/4)/(4*gamma(1/4))","A",0
83,1,71,0,178.660589," ","integrate((x**4-3)*(x**4+1)**(1/3)/x**5,x)","- \frac{x^{\frac{4}{3}} \Gamma\left(- \frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, - \frac{1}{3} \\ \frac{2}{3} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{4}}} \right)}}{4 \Gamma\left(\frac{2}{3}\right)} + \frac{3 \Gamma\left(\frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, \frac{2}{3} \\ \frac{5}{3} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{4}}} \right)}}{4 x^{\frac{8}{3}} \Gamma\left(\frac{5}{3}\right)}"," ",0,"-x**(4/3)*gamma(-1/3)*hyper((-1/3, -1/3), (2/3,), exp_polar(I*pi)/x**4)/(4*gamma(2/3)) + 3*gamma(2/3)*hyper((-1/3, 2/3), (5/3,), exp_polar(I*pi)/x**4)/(4*x**(8/3)*gamma(5/3))","C",0
84,1,65,0,2.050625," ","integrate((x**2-1)*(x**2+1)*(x**4+1)**(1/2)/x**4,x)","\frac{x \Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{1}{4} \\ \frac{5}{4} \end{matrix}\middle| {x^{4} e^{i \pi}} \right)}}{4 \Gamma\left(\frac{5}{4}\right)} - \frac{\Gamma\left(- \frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, - \frac{1}{2} \\ \frac{1}{4} \end{matrix}\middle| {x^{4} e^{i \pi}} \right)}}{4 x^{3} \Gamma\left(\frac{1}{4}\right)}"," ",0,"x*gamma(1/4)*hyper((-1/2, 1/4), (5/4,), x**4*exp_polar(I*pi))/(4*gamma(5/4)) - gamma(-3/4)*hyper((-3/4, -1/2), (1/4,), x**4*exp_polar(I*pi))/(4*x**3*gamma(1/4))","C",0
85,1,73,0,2.298012," ","integrate((x**4-3)*(x**4+1)**(2/3)/x**6,x)","\frac{\Gamma\left(- \frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, - \frac{1}{4} \\ \frac{3}{4} \end{matrix}\middle| {x^{4} e^{i \pi}} \right)}}{4 x \Gamma\left(\frac{3}{4}\right)} - \frac{3 \Gamma\left(- \frac{5}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{5}{4}, - \frac{2}{3} \\ - \frac{1}{4} \end{matrix}\middle| {x^{4} e^{i \pi}} \right)}}{4 x^{5} \Gamma\left(- \frac{1}{4}\right)}"," ",0,"gamma(-1/4)*hyper((-2/3, -1/4), (3/4,), x**4*exp_polar(I*pi))/(4*x*gamma(3/4)) - 3*gamma(-5/4)*hyper((-5/4, -2/3), (-1/4,), x**4*exp_polar(I*pi))/(4*x**5*gamma(-1/4))","C",0
86,1,53,0,0.904742," ","integrate((x**4+1)**(3/4)/x**8,x)","\frac{\left(1 + \frac{1}{x^{4}}\right)^{\frac{3}{4}} \Gamma\left(- \frac{7}{4}\right)}{4 \Gamma\left(- \frac{3}{4}\right)} + \frac{\left(1 + \frac{1}{x^{4}}\right)^{\frac{3}{4}} \Gamma\left(- \frac{7}{4}\right)}{4 x^{4} \Gamma\left(- \frac{3}{4}\right)}"," ",0,"(1 + x**(-4))**(3/4)*gamma(-7/4)/(4*gamma(-3/4)) + (1 + x**(-4))**(3/4)*gamma(-7/4)/(4*x**4*gamma(-3/4))","B",0
87,1,78,0,2.403351," ","integrate((x**4-1)**(2/3)*(x**4+3)/x**6,x)","- \frac{e^{- \frac{i \pi}{3}} \Gamma\left(- \frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, - \frac{1}{4} \\ \frac{3}{4} \end{matrix}\middle| {x^{4}} \right)}}{4 x \Gamma\left(\frac{3}{4}\right)} - \frac{3 e^{- \frac{i \pi}{3}} \Gamma\left(- \frac{5}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{5}{4}, - \frac{2}{3} \\ - \frac{1}{4} \end{matrix}\middle| {x^{4}} \right)}}{4 x^{5} \Gamma\left(- \frac{1}{4}\right)}"," ",0,"-exp(-I*pi/3)*gamma(-1/4)*hyper((-2/3, -1/4), (3/4,), x**4)/(4*x*gamma(3/4)) - 3*exp(-I*pi/3)*gamma(-5/4)*hyper((-5/4, -2/3), (-1/4,), x**4)/(4*x**5*gamma(-1/4))","C",0
88,-1,0,0,0.000000," ","integrate((x**4+1)**(1/3)*(x**4+3)/x**9,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
89,0,0,0,0.000000," ","integrate(1/x**2/(x**4+x)**(1/2),x)","\int \frac{1}{x^{2} \sqrt{x \left(x + 1\right) \left(x^{2} - x + 1\right)}}\, dx"," ",0,"Integral(1/(x**2*sqrt(x*(x + 1)*(x**2 - x + 1))), x)","F",0
90,0,0,0,0.000000," ","integrate((x**3+1)/x**6/(x**4+x)**(1/4),x)","\int \frac{\left(x + 1\right) \left(x^{2} - x + 1\right)}{x^{6} \sqrt[4]{x \left(x + 1\right) \left(x^{2} - x + 1\right)}}\, dx"," ",0,"Integral((x + 1)*(x**2 - x + 1)/(x**6*(x*(x + 1)*(x**2 - x + 1))**(1/4)), x)","F",0
91,0,0,0,0.000000," ","integrate((x**3-2)*(x**4+x)**(1/3)/(x**3+1)**2,x)","\int \frac{\sqrt[3]{x \left(x + 1\right) \left(x^{2} - x + 1\right)} \left(x^{3} - 2\right)}{\left(x + 1\right)^{2} \left(x^{2} - x + 1\right)^{2}}\, dx"," ",0,"Integral((x*(x + 1)*(x**2 - x + 1))**(1/3)*(x**3 - 2)/((x + 1)**2*(x**2 - x + 1)**2), x)","F",0
92,0,0,0,0.000000," ","integrate((x**4+x**2)**(1/4)/x**2/(x**2+1),x)","\int \frac{\sqrt[4]{x^{2} \left(x^{2} + 1\right)}}{x^{2} \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x**2*(x**2 + 1))**(1/4)/(x**2*(x**2 + 1)), x)","F",0
93,1,71,0,4.158465," ","integrate((x**5-6)*(x**5-1)**(2/3)/x**11,x)","- \frac{\Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {\frac{e^{2 i \pi}}{x^{5}}} \right)}}{5 x^{\frac{5}{3}} \Gamma\left(\frac{4}{3}\right)} + \frac{6 \Gamma\left(\frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, \frac{4}{3} \\ \frac{7}{3} \end{matrix}\middle| {\frac{e^{2 i \pi}}{x^{5}}} \right)}}{5 x^{\frac{20}{3}} \Gamma\left(\frac{7}{3}\right)}"," ",0,"-gamma(1/3)*hyper((-2/3, 1/3), (4/3,), exp_polar(2*I*pi)/x**5)/(5*x**(5/3)*gamma(4/3)) + 6*gamma(4/3)*hyper((-2/3, 4/3), (7/3,), exp_polar(2*I*pi)/x**5)/(5*x**(20/3)*gamma(7/3))","C",0
94,1,75,0,2.687004," ","integrate((x**5-4)*(x**5+1)**(3/4)/x**8,x)","\frac{\Gamma\left(- \frac{2}{5}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, - \frac{2}{5} \\ \frac{3}{5} \end{matrix}\middle| {x^{5} e^{i \pi}} \right)}}{5 x^{2} \Gamma\left(\frac{3}{5}\right)} - \frac{4 \Gamma\left(- \frac{7}{5}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{7}{5}, - \frac{3}{4} \\ - \frac{2}{5} \end{matrix}\middle| {x^{5} e^{i \pi}} \right)}}{5 x^{7} \Gamma\left(- \frac{2}{5}\right)}"," ",0,"gamma(-2/5)*hyper((-3/4, -2/5), (3/5,), x**5*exp_polar(I*pi))/(5*x**2*gamma(3/5)) - 4*gamma(-7/5)*hyper((-7/5, -3/4), (-2/5,), x**5*exp_polar(I*pi))/(5*x**7*gamma(-2/5))","C",0
95,1,80,0,2.768872," ","integrate((x**5-1)**(3/4)*(x**5+4)/x**8,x)","- \frac{e^{- \frac{i \pi}{4}} \Gamma\left(- \frac{2}{5}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, - \frac{2}{5} \\ \frac{3}{5} \end{matrix}\middle| {x^{5}} \right)}}{5 x^{2} \Gamma\left(\frac{3}{5}\right)} - \frac{4 e^{- \frac{i \pi}{4}} \Gamma\left(- \frac{7}{5}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{7}{5}, - \frac{3}{4} \\ - \frac{2}{5} \end{matrix}\middle| {x^{5}} \right)}}{5 x^{7} \Gamma\left(- \frac{2}{5}\right)}"," ",0,"-exp(-I*pi/4)*gamma(-2/5)*hyper((-3/4, -2/5), (3/5,), x**5)/(5*x**2*gamma(3/5)) - 4*exp(-I*pi/4)*gamma(-7/5)*hyper((-7/5, -3/4), (-2/5,), x**5)/(5*x**7*gamma(-2/5))","C",0
96,1,70,0,3.950800," ","integrate((x**5+1)**(2/3)*(x**5+6)/x**11,x)","- \frac{\Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{5}}} \right)}}{5 x^{\frac{5}{3}} \Gamma\left(\frac{4}{3}\right)} - \frac{6 \Gamma\left(\frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, \frac{4}{3} \\ \frac{7}{3} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{5}}} \right)}}{5 x^{\frac{20}{3}} \Gamma\left(\frac{7}{3}\right)}"," ",0,"-gamma(1/3)*hyper((-2/3, 1/3), (4/3,), exp_polar(I*pi)/x**5)/(5*x**(5/3)*gamma(4/3)) - 6*gamma(4/3)*hyper((-2/3, 4/3), (7/3,), exp_polar(I*pi)/x**5)/(5*x**(20/3)*gamma(7/3))","C",0
97,0,0,0,0.000000," ","integrate((x**4-3)*(x**4+1)/x**6/(x**5+x)**(1/4),x)","\int \frac{\left(x^{4} - 3\right) \left(x^{4} + 1\right)}{x^{6} \sqrt[4]{x \left(x^{4} + 1\right)}}\, dx"," ",0,"Integral((x**4 - 3)*(x**4 + 1)/(x**6*(x*(x**4 + 1))**(1/4)), x)","F",0
98,0,0,0,0.000000," ","integrate((x**2-1)*(x**5+x**3)**(1/4)/x**2/(x**2+1),x)","\int \frac{\sqrt[4]{x^{3} \left(x^{2} + 1\right)} \left(x - 1\right) \left(x + 1\right)}{x^{2} \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x**3*(x**2 + 1))**(1/4)*(x - 1)*(x + 1)/(x**2*(x**2 + 1)), x)","F",0
99,0,0,0,0.000000," ","integrate((3*a*x**5-2*b)/(a*x**5+b)**(1/2)/(a*x**5+x**2+b),x)","\int \frac{3 a x^{5} - 2 b}{\sqrt{a x^{5} + b} \left(a x^{5} + b + x^{2}\right)}\, dx"," ",0,"Integral((3*a*x**5 - 2*b)/(sqrt(a*x**5 + b)*(a*x**5 + b + x**2)), x)","F",0
100,1,29,0,0.575903," ","integrate(1/x**4/(x**6-1)**(1/2),x)","\begin{cases} \frac{i \sqrt{-1 + \frac{1}{x^{6}}}}{3} & \text{for}\: \frac{1}{\left|{x^{6}}\right|} > 1 \\\frac{\sqrt{1 - \frac{1}{x^{6}}}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((I*sqrt(-1 + x**(-6))/3, 1/Abs(x**6) > 1), (sqrt(1 - 1/x**6)/3, True))","A",0
101,1,129,0,0.871222," ","integrate((x**6-1)**(1/3)/x**9,x)","\begin{cases} \frac{\sqrt[3]{-1 + \frac{1}{x^{6}}} e^{- \frac{2 i \pi}{3}} \Gamma\left(- \frac{4}{3}\right)}{6 \Gamma\left(- \frac{1}{3}\right)} - \frac{\sqrt[3]{-1 + \frac{1}{x^{6}}} e^{- \frac{2 i \pi}{3}} \Gamma\left(- \frac{4}{3}\right)}{6 x^{6} \Gamma\left(- \frac{1}{3}\right)} & \text{for}\: \frac{1}{\left|{x^{6}}\right|} > 1 \\- \frac{\sqrt[3]{1 - \frac{1}{x^{6}}} \Gamma\left(- \frac{4}{3}\right)}{6 \Gamma\left(- \frac{1}{3}\right)} + \frac{\sqrt[3]{1 - \frac{1}{x^{6}}} \Gamma\left(- \frac{4}{3}\right)}{6 x^{6} \Gamma\left(- \frac{1}{3}\right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-1 + x**(-6))**(1/3)*exp(-2*I*pi/3)*gamma(-4/3)/(6*gamma(-1/3)) - (-1 + x**(-6))**(1/3)*exp(-2*I*pi/3)*gamma(-4/3)/(6*x**6*gamma(-1/3)), 1/Abs(x**6) > 1), (-(1 - 1/x**6)**(1/3)*gamma(-4/3)/(6*gamma(-1/3)) + (1 - 1/x**6)**(1/3)*gamma(-4/3)/(6*x**6*gamma(-1/3)), True))","B",0
102,1,61,0,0.867659," ","integrate((x**6-1)**(1/2)/x**10,x)","\begin{cases} \frac{i \sqrt{-1 + \frac{1}{x^{6}}}}{9} - \frac{i \sqrt{-1 + \frac{1}{x^{6}}}}{9 x^{6}} & \text{for}\: \frac{1}{\left|{x^{6}}\right|} > 1 \\\frac{\sqrt{1 - \frac{1}{x^{6}}}}{9} - \frac{\sqrt{1 - \frac{1}{x^{6}}}}{9 x^{6}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((I*sqrt(-1 + x**(-6))/9 - I*sqrt(-1 + x**(-6))/(9*x**6), 1/Abs(x**6) > 1), (sqrt(1 - 1/x**6)/9 - sqrt(1 - 1/x**6)/(9*x**6), True))","B",0
103,1,12,0,0.546760," ","integrate(1/x**4/(x**6+1)**(1/2),x)","- \frac{\sqrt{1 + \frac{1}{x^{6}}}}{3}"," ",0,"-sqrt(1 + x**(-6))/3","A",0
104,1,22,0,0.582667," ","integrate(1/x**5/(x**6+1)**(1/3),x)","\frac{\left(1 + \frac{1}{x^{6}}\right)^{\frac{2}{3}} \Gamma\left(- \frac{2}{3}\right)}{6 \Gamma\left(\frac{1}{3}\right)}"," ",0,"(1 + x**(-6))**(2/3)*gamma(-2/3)/(6*gamma(1/3))","A",0
105,1,42,0,2.586116," ","integrate((x**6-2)/x**4/(x**6+1)**(1/4),x)","\frac{x^{3} {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{4}, \frac{1}{2} \\ \frac{3}{2} \end{matrix}\middle| {x^{6} e^{i \pi}} \right)}}{3} + \frac{2 {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{1}{4} \\ \frac{1}{2} \end{matrix}\middle| {x^{6} e^{i \pi}} \right)}}{3 x^{3}}"," ",0,"x**3*hyper((1/4, 1/2), (3/2,), x**6*exp_polar(I*pi))/3 + 2*hyper((-1/2, 1/4), (1/2,), x**6*exp_polar(I*pi))/(3*x**3)","C",0
106,1,27,0,0.793375," ","integrate((x**6+1)**(1/2)/x**10,x)","- \frac{\sqrt{1 + \frac{1}{x^{6}}}}{9} - \frac{\sqrt{1 + \frac{1}{x^{6}}}}{9 x^{6}}"," ",0,"-sqrt(1 + x**(-6))/9 - sqrt(1 + x**(-6))/(9*x**6)","A",0
107,1,71,0,3.051910," ","integrate((x**6-2)*(x**6+1)**(3/4)/x**8,x)","\frac{\Gamma\left(- \frac{1}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, - \frac{1}{6} \\ \frac{5}{6} \end{matrix}\middle| {x^{6} e^{i \pi}} \right)}}{6 x \Gamma\left(\frac{5}{6}\right)} - \frac{\Gamma\left(- \frac{7}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{7}{6}, - \frac{3}{4} \\ - \frac{1}{6} \end{matrix}\middle| {x^{6} e^{i \pi}} \right)}}{3 x^{7} \Gamma\left(- \frac{1}{6}\right)}"," ",0,"gamma(-1/6)*hyper((-3/4, -1/6), (5/6,), x**6*exp_polar(I*pi))/(6*x*gamma(5/6)) - gamma(-7/6)*hyper((-7/6, -3/4), (-1/6,), x**6*exp_polar(I*pi))/(3*x**7*gamma(-1/6))","C",0
108,1,71,0,3.007318," ","integrate((x**6-1)**(1/3)*(x**6+1)/x**5,x)","\frac{x^{2} e^{\frac{i \pi}{3}} \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {x^{6}} \right)}}{6 \Gamma\left(\frac{4}{3}\right)} - \frac{e^{- \frac{2 i \pi}{3}} \Gamma\left(- \frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, - \frac{1}{3} \\ \frac{1}{3} \end{matrix}\middle| {x^{6}} \right)}}{6 x^{4} \Gamma\left(\frac{1}{3}\right)}"," ",0,"x**2*exp(I*pi/3)*gamma(1/3)*hyper((-1/3, 1/3), (4/3,), x**6)/(6*gamma(4/3)) - exp(-2*I*pi/3)*gamma(-2/3)*hyper((-2/3, -1/3), (1/3,), x**6)/(6*x**4*gamma(1/3))","C",0
109,1,48,0,2.617810," ","integrate((x**6+2)/x**4/(x**6-1)**(1/4),x)","\frac{x^{3} e^{- \frac{i \pi}{4}} {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{4}, \frac{1}{2} \\ \frac{3}{2} \end{matrix}\middle| {x^{6}} \right)}}{3} + \frac{2 e^{\frac{3 i \pi}{4}} {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{1}{4} \\ \frac{1}{2} \end{matrix}\middle| {x^{6}} \right)}}{3 x^{3}}"," ",0,"x**3*exp(-I*pi/4)*hyper((1/4, 1/2), (3/2,), x**6)/3 + 2*exp(3*I*pi/4)*hyper((-1/2, 1/4), (1/2,), x**6)/(3*x**3)","C",0
110,1,76,0,3.108159," ","integrate((x**6-1)**(3/4)*(x**6+2)/x**8,x)","- \frac{e^{- \frac{i \pi}{4}} \Gamma\left(- \frac{1}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, - \frac{1}{6} \\ \frac{5}{6} \end{matrix}\middle| {x^{6}} \right)}}{6 x \Gamma\left(\frac{5}{6}\right)} - \frac{e^{- \frac{i \pi}{4}} \Gamma\left(- \frac{7}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{7}{6}, - \frac{3}{4} \\ - \frac{1}{6} \end{matrix}\middle| {x^{6}} \right)}}{3 x^{7} \Gamma\left(- \frac{1}{6}\right)}"," ",0,"-exp(-I*pi/4)*gamma(-1/6)*hyper((-3/4, -1/6), (5/6,), x**6)/(6*x*gamma(5/6)) - exp(-I*pi/4)*gamma(-7/6)*hyper((-7/6, -3/4), (-1/6,), x**6)/(3*x**7*gamma(-1/6))","C",0
111,0,0,0,0.000000," ","integrate((2*x**5-3)/x**3/(x**6+x)**(1/4),x)","\int \frac{2 x^{5} - 3}{x^{3} \sqrt[4]{x \left(x + 1\right) \left(x^{4} - x^{3} + x^{2} - x + 1\right)}}\, dx"," ",0,"Integral((2*x**5 - 3)/(x**3*(x*(x + 1)*(x**4 - x**3 + x**2 - x + 1))**(1/4)), x)","F",0
112,0,0,0,0.000000," ","integrate((x**4+x)**(1/3)*(x**6-x**3-2)/x**6,x)","\int \frac{\sqrt[3]{x \left(x + 1\right) \left(x^{2} - x + 1\right)} \left(x + 1\right) \left(x^{3} - 2\right) \left(x^{2} - x + 1\right)}{x^{6}}\, dx"," ",0,"Integral((x*(x + 1)*(x**2 - x + 1))**(1/3)*(x + 1)*(x**3 - 2)*(x**2 - x + 1)/x**6, x)","F",0
113,-1,0,0,0.000000," ","integrate(x*(x**6+2)/(x**6-1)**(1/2)/(x**6-x**4-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
114,1,56,0,1.852201," ","integrate((x**8-1)/x**4/(x**4-1)**(1/2),x)","- \frac{i x^{5} \Gamma\left(\frac{5}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{2}, \frac{5}{4} \\ \frac{9}{4} \end{matrix}\middle| {x^{4}} \right)}}{4 \Gamma\left(\frac{9}{4}\right)} + \frac{i \Gamma\left(- \frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, \frac{1}{2} \\ \frac{1}{4} \end{matrix}\middle| {x^{4}} \right)}}{4 x^{3} \Gamma\left(\frac{1}{4}\right)}"," ",0,"-I*x**5*gamma(5/4)*hyper((1/2, 5/4), (9/4,), x**4)/(4*gamma(9/4)) + I*gamma(-3/4)*hyper((-3/4, 1/2), (1/4,), x**4)/(4*x**3*gamma(1/4))","C",0
115,1,66,0,3.198468," ","integrate((x**8-1)*(x**8+1)**(1/2)/x**7,x)","\frac{x^{2} \Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{1}{4} \\ \frac{5}{4} \end{matrix}\middle| {x^{8} e^{i \pi}} \right)}}{8 \Gamma\left(\frac{5}{4}\right)} - \frac{\Gamma\left(- \frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, - \frac{1}{2} \\ \frac{1}{4} \end{matrix}\middle| {x^{8} e^{i \pi}} \right)}}{8 x^{6} \Gamma\left(\frac{1}{4}\right)}"," ",0,"x**2*gamma(1/4)*hyper((-1/2, 1/4), (5/4,), x**8*exp_polar(I*pi))/(8*gamma(5/4)) - gamma(-3/4)*hyper((-3/4, -1/2), (1/4,), x**8*exp_polar(I*pi))/(8*x**6*gamma(1/4))","C",0
116,0,0,0,0.000000," ","integrate((2*x**2+x+2)/(-1+2*x)/(x**4+x)**(1/2),x)","\int \frac{2 x^{2} + x + 2}{\sqrt{x \left(x + 1\right) \left(x^{2} - x + 1\right)} \left(2 x - 1\right)}\, dx"," ",0,"Integral((2*x**2 + x + 2)/(sqrt(x*(x + 1)*(x**2 - x + 1))*(2*x - 1)), x)","F",0
117,0,0,0,0.000000," ","integrate((x**2-1)/(x**2+1)/(x**4+x**2+1)**(1/2),x)","\int \frac{\left(x - 1\right) \left(x + 1\right)}{\sqrt{\left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)} \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x - 1)*(x + 1)/(sqrt((x**2 - x + 1)*(x**2 + x + 1))*(x**2 + 1)), x)","F",0
118,0,0,0,0.000000," ","integrate((x**4-1)/(x**4+1)/(x**4+x**2+1)**(1/2),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}{\sqrt{\left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)} \left(x^{4} + 1\right)}\, dx"," ",0,"Integral((x - 1)*(x + 1)*(x**2 + 1)/(sqrt((x**2 - x + 1)*(x**2 + x + 1))*(x**4 + 1)), x)","F",0
119,0,0,0,0.000000," ","integrate((2*x**4+2*x**2-1)/(2*x**2+1)/(x**6-1)**(1/2),x)","\int \frac{2 x^{4} + 2 x^{2} - 1}{\sqrt{\left(x - 1\right) \left(x + 1\right) \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)} \left(2 x^{2} + 1\right)}\, dx"," ",0,"Integral((2*x**4 + 2*x**2 - 1)/(sqrt((x - 1)*(x + 1)*(x**2 - x + 1)*(x**2 + x + 1))*(2*x**2 + 1)), x)","F",0
120,1,75,0,0.827206," ","integrate(x**3/(x**2-1)**(3/4),x)","\begin{cases} \frac{2 x^{2} \sqrt[4]{x^{2} - 1}}{5} + \frac{8 \sqrt[4]{x^{2} - 1}}{5} & \text{for}\: \left|{x^{2}}\right| > 1 \\- \frac{2 x^{2} \sqrt[4]{1 - x^{2}} e^{- \frac{3 i \pi}{4}}}{5} - \frac{8 \sqrt[4]{1 - x^{2}} e^{- \frac{3 i \pi}{4}}}{5} & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*x**2*(x**2 - 1)**(1/4)/5 + 8*(x**2 - 1)**(1/4)/5, Abs(x**2) > 1), (-2*x**2*(1 - x**2)**(1/4)*exp(-3*I*pi/4)/5 - 8*(1 - x**2)**(1/4)*exp(-3*I*pi/4)/5, True))","A",0
121,0,0,0,0.000000," ","integrate((3+x)/(-1+x)**2/(x**2-1)**(1/3),x)","\int \frac{x + 3}{\sqrt[3]{\left(x - 1\right) \left(x + 1\right)} \left(x - 1\right)^{2}}\, dx"," ",0,"Integral((x + 3)/(((x - 1)*(x + 1))**(1/3)*(x - 1)**2), x)","F",0
122,1,26,0,0.775988," ","integrate(x**3/(x**2+1)**(2/3),x)","\frac{3 x^{2} \sqrt[3]{x^{2} + 1}}{8} - \frac{9 \sqrt[3]{x^{2} + 1}}{8}"," ",0,"3*x**2*(x**2 + 1)**(1/3)/8 - 9*(x**2 + 1)**(1/3)/8","A",0
123,0,0,0,0.000000," ","integrate(1/x**2/(x**3-x)**(1/3),x)","\int \frac{1}{x^{2} \sqrt[3]{x \left(x - 1\right) \left(x + 1\right)}}\, dx"," ",0,"Integral(1/(x**2*(x*(x - 1)*(x + 1))**(1/3)), x)","F",0
124,0,0,0,0.000000," ","integrate((x**3-x)**(1/3)/x**4,x)","\int \frac{\sqrt[3]{x \left(x - 1\right) \left(x + 1\right)}}{x^{4}}\, dx"," ",0,"Integral((x*(x - 1)*(x + 1))**(1/3)/x**4, x)","F",0
125,0,0,0,0.000000," ","integrate((x**2-1)/(x**2+1)/(x**3+x)**(1/2),x)","\int \frac{\left(x - 1\right) \left(x + 1\right)}{\sqrt{x \left(x^{2} + 1\right)} \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x - 1)*(x + 1)/(sqrt(x*(x**2 + 1))*(x**2 + 1)), x)","F",0
126,0,0,0,0.000000," ","integrate(1/x/(x**3+x**2)**(1/3),x)","\int \frac{1}{x \sqrt[3]{x^{2} \left(x + 1\right)}}\, dx"," ",0,"Integral(1/(x*(x**2*(x + 1))**(1/3)), x)","F",0
127,0,0,0,0.000000," ","integrate((2+x)/x**2/(x**3+x**2)**(1/4),x)","\int \frac{x + 2}{x^{2} \sqrt[4]{x^{2} \left(x + 1\right)}}\, dx"," ",0,"Integral((x + 2)/(x**2*(x**2*(x + 1))**(1/4)), x)","F",0
128,1,78,0,26.236324," ","integrate((a*x**3-2*b)*(a*x**3+b)**(1/2)/x**4,x)","\frac{2 a^{\frac{3}{2}} x^{\frac{3}{2}}}{3 \sqrt{1 + \frac{b}{a x^{3}}}} + \frac{2 \sqrt{a} b \sqrt{1 + \frac{b}{a x^{3}}}}{3 x^{\frac{3}{2}}} + \frac{2 \sqrt{a} b}{3 x^{\frac{3}{2}} \sqrt{1 + \frac{b}{a x^{3}}}}"," ",0,"2*a**(3/2)*x**(3/2)/(3*sqrt(1 + b/(a*x**3))) + 2*sqrt(a)*b*sqrt(1 + b/(a*x**3))/(3*x**(3/2)) + 2*sqrt(a)*b/(3*x**(3/2)*sqrt(1 + b/(a*x**3)))","B",0
129,0,0,0,0.000000," ","integrate((x**2+x+1)/(-1+x)**2/(x**4-1)**(1/2),x)","\int \frac{x^{2} + x + 1}{\sqrt{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)} \left(x - 1\right)^{2}}\, dx"," ",0,"Integral((x**2 + x + 1)/(sqrt((x - 1)*(x + 1)*(x**2 + 1))*(x - 1)**2), x)","F",0
130,0,0,0,0.000000," ","integrate((x**4-1)/x**2/(x**3-x)**(1/2),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}{x^{2} \sqrt{x \left(x - 1\right) \left(x + 1\right)}}\, dx"," ",0,"Integral((x - 1)*(x + 1)*(x**2 + 1)/(x**2*sqrt(x*(x - 1)*(x + 1))), x)","F",0
131,0,0,0,0.000000," ","integrate(1/x**2/(x**4-x)**(1/2),x)","\int \frac{1}{x^{2} \sqrt{x \left(x - 1\right) \left(x^{2} + x + 1\right)}}\, dx"," ",0,"Integral(1/(x**2*sqrt(x*(x - 1)*(x**2 + x + 1))), x)","F",0
132,0,0,0,0.000000," ","integrate(1/x**3/(x**4-x)**(1/4),x)","\int \frac{1}{x^{3} \sqrt[4]{x \left(x - 1\right) \left(x^{2} + x + 1\right)}}\, dx"," ",0,"Integral(1/(x**3*(x*(x - 1)*(x**2 + x + 1))**(1/4)), x)","F",0
133,0,0,0,0.000000," ","integrate((x**3-1)/x**6/(x**4-x)**(1/4),x)","\int \frac{\left(x - 1\right) \left(x^{2} + x + 1\right)}{x^{6} \sqrt[4]{x \left(x - 1\right) \left(x^{2} + x + 1\right)}}\, dx"," ",0,"Integral((x - 1)*(x**2 + x + 1)/(x**6*(x*(x - 1)*(x**2 + x + 1))**(1/4)), x)","F",0
134,0,0,0,0.000000," ","integrate((x**4-x)**(1/4)/x**5,x)","\int \frac{\sqrt[4]{x \left(x - 1\right) \left(x^{2} + x + 1\right)}}{x^{5}}\, dx"," ",0,"Integral((x*(x - 1)*(x**2 + x + 1))**(1/4)/x**5, x)","F",0
135,0,0,0,0.000000," ","integrate((x**3+2)*(x**4-x)**(1/3)/(x**3-1)**2,x)","\int \frac{\sqrt[3]{x \left(x - 1\right) \left(x^{2} + x + 1\right)} \left(x^{3} + 2\right)}{\left(x - 1\right)^{2} \left(x^{2} + x + 1\right)^{2}}\, dx"," ",0,"Integral((x*(x - 1)*(x**2 + x + 1))**(1/3)*(x**3 + 2)/((x - 1)**2*(x**2 + x + 1)**2), x)","F",0
136,0,0,0,0.000000," ","integrate((x**4-x)**(1/2)/x**6,x)","\int \frac{\sqrt{x \left(x - 1\right) \left(x^{2} + x + 1\right)}}{x^{6}}\, dx"," ",0,"Integral(sqrt(x*(x - 1)*(x**2 + x + 1))/x**6, x)","F",0
137,0,0,0,0.000000," ","integrate(x/(x**4+x)**(1/2),x)","\int \frac{x}{\sqrt{x \left(x + 1\right) \left(x^{2} - x + 1\right)}}\, dx"," ",0,"Integral(x/sqrt(x*(x + 1)*(x**2 - x + 1)), x)","F",0
138,0,0,0,0.000000," ","integrate((x**3-2)/(x**3+1)/(x**4+x)**(1/3),x)","\int \frac{x^{3} - 2}{\sqrt[3]{x \left(x + 1\right) \left(x^{2} - x + 1\right)} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral((x**3 - 2)/((x*(x + 1)*(x**2 - x + 1))**(1/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
139,0,0,0,0.000000," ","integrate((x**2-1)/x/(x**4+x**2)**(1/3),x)","\int \frac{\left(x - 1\right) \left(x + 1\right)}{x \sqrt[3]{x^{2} \left(x^{2} + 1\right)}}\, dx"," ",0,"Integral((x - 1)*(x + 1)/(x*(x**2*(x**2 + 1))**(1/3)), x)","F",0
140,0,0,0,0.000000," ","integrate(1/x**2/(x**4+x**2)**(1/4),x)","\int \frac{1}{x^{2} \sqrt[4]{x^{2} \left(x^{2} + 1\right)}}\, dx"," ",0,"Integral(1/(x**2*(x**2*(x**2 + 1))**(1/4)), x)","F",0
141,0,0,0,0.000000," ","integrate((x**4+x**2)**(1/4)/x**4,x)","\int \frac{\sqrt[4]{x^{2} \left(x^{2} + 1\right)}}{x^{4}}\, dx"," ",0,"Integral((x**2*(x**2 + 1))**(1/4)/x**4, x)","F",0
142,0,0,0,0.000000," ","integrate((x**2-1)*(x**4+x**2)**(1/3)/x**3,x)","\int \frac{\sqrt[3]{x^{2} \left(x^{2} + 1\right)} \left(x - 1\right) \left(x + 1\right)}{x^{3}}\, dx"," ",0,"Integral((x**2*(x**2 + 1))**(1/3)*(x - 1)*(x + 1)/x**3, x)","F",0
143,0,0,0,0.000000," ","integrate(1/x/(x**4+x**3)**(1/4),x)","\int \frac{1}{x \sqrt[4]{x^{3} \left(x + 1\right)}}\, dx"," ",0,"Integral(1/(x*(x**3*(x + 1))**(1/4)), x)","F",0
144,0,0,0,0.000000," ","integrate((1+x)*(x**4+x**3)**(1/4)/x**4,x)","\int \frac{\sqrt[4]{x^{3} \left(x + 1\right)} \left(x + 1\right)}{x^{4}}\, dx"," ",0,"Integral((x**3*(x + 1))**(1/4)*(x + 1)/x**4, x)","F",0
145,-1,0,0,0.000000," ","integrate((2*x**4-x-2)/(x**4+x+1)/(x**4+x**2+x+1)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
146,0,0,0,0.000000," ","integrate((x**4+3)/x**3/(x**5-x)**(1/4),x)","\int \frac{x^{4} + 3}{x^{3} \sqrt[4]{x \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}}\, dx"," ",0,"Integral((x**4 + 3)/(x**3*(x*(x - 1)*(x + 1)*(x**2 + 1))**(1/4)), x)","F",0
147,0,0,0,0.000000," ","integrate((x**4-1)*(x**4+3)/x**6/(x**5-x)**(1/4),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \left(x^{4} + 3\right)}{x^{6} \sqrt[4]{x \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}}\, dx"," ",0,"Integral((x - 1)*(x + 1)*(x**2 + 1)*(x**4 + 3)/(x**6*(x*(x - 1)*(x + 1)*(x**2 + 1))**(1/4)), x)","F",0
148,0,0,0,0.000000," ","integrate((x**4-3)/(x**4+1)/(x**5+x)**(1/4),x)","\int \frac{x^{4} - 3}{\sqrt[4]{x \left(x^{4} + 1\right)} \left(x^{4} + 1\right)}\, dx"," ",0,"Integral((x**4 - 3)/((x*(x**4 + 1))**(1/4)*(x**4 + 1)), x)","F",0
149,0,0,0,0.000000," ","integrate((2*x**3-1)*(x**5+x**2)**(1/3)/x**3,x)","\int \frac{\sqrt[3]{x^{2} \left(x + 1\right) \left(x^{2} - x + 1\right)} \left(2 x^{3} - 1\right)}{x^{3}}\, dx"," ",0,"Integral((x**2*(x + 1)*(x**2 - x + 1))**(1/3)*(2*x**3 - 1)/x**3, x)","F",0
150,0,0,0,0.000000," ","integrate((x**2-1)/x/(x**5+x**3)**(1/4),x)","\int \frac{\left(x - 1\right) \left(x + 1\right)}{x \sqrt[4]{x^{3} \left(x^{2} + 1\right)}}\, dx"," ",0,"Integral((x - 1)*(x + 1)/(x*(x**3*(x**2 + 1))**(1/4)), x)","F",0
151,0,0,0,0.000000," ","integrate((x**4-1)*(x**5+x**3)**(1/4)/x**4,x)","\int \frac{\sqrt[4]{x^{3} \left(x^{2} + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}{x^{4}}\, dx"," ",0,"Integral((x**3*(x**2 + 1))**(1/4)*(x - 1)*(x + 1)*(x**2 + 1)/x**4, x)","F",0
152,1,19,0,0.790379," ","integrate(x**2/(x**6-1)**(1/2),x)","\begin{cases} \frac{\operatorname{acosh}{\left(x^{3} \right)}}{3} & \text{for}\: \left|{x^{6}}\right| > 1 \\- \frac{i \operatorname{asin}{\left(x^{3} \right)}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((acosh(x**3)/3, Abs(x**6) > 1), (-I*asin(x**3)/3, True))","A",0
153,1,5,0,0.753680," ","integrate(x**2/(x**6+1)**(1/2),x)","\frac{\operatorname{asinh}{\left(x^{3} \right)}}{3}"," ",0,"asinh(x**3)/3","A",0
154,0,0,0,0.000000," ","integrate((x**5-1)*(2*x**5+3)/x**6/(x**6-x)**(1/4),x)","\int \frac{\left(x - 1\right) \left(2 x^{5} + 3\right) \left(x^{4} + x^{3} + x^{2} + x + 1\right)}{x^{6} \sqrt[4]{x \left(x - 1\right) \left(x^{4} + x^{3} + x^{2} + x + 1\right)}}\, dx"," ",0,"Integral((x - 1)*(2*x**5 + 3)*(x**4 + x**3 + x**2 + x + 1)/(x**6*(x*(x - 1)*(x**4 + x**3 + x**2 + x + 1))**(1/4)), x)","F",0
155,0,0,0,0.000000," ","integrate(1/x**3/(x**6+x**2)**(1/3),x)","\int \frac{1}{x^{3} \sqrt[3]{x^{2} \left(x^{4} + 1\right)}}\, dx"," ",0,"Integral(1/(x**3*(x**2*(x**4 + 1))**(1/3)), x)","F",0
156,0,0,0,0.000000," ","integrate((x**4-1)/x**2/(x**6+x**2)**(1/4),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}{x^{2} \sqrt[4]{x^{2} \left(x^{4} + 1\right)}}\, dx"," ",0,"Integral((x - 1)*(x + 1)*(x**2 + 1)/(x**2*(x**2*(x**4 + 1))**(1/4)), x)","F",0
157,0,0,0,0.000000," ","integrate((x**4-1)*(x**6+x**2)**(1/4)/x**4,x)","\int \frac{\sqrt[4]{x^{2} \left(x^{4} + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}{x^{4}}\, dx"," ",0,"Integral((x**2*(x**4 + 1))**(1/4)*(x - 1)*(x + 1)*(x**2 + 1)/x**4, x)","F",0
158,1,31,0,0.725732," ","integrate((1+(x**2+1)**(1/2))**(1/2)/(x**2+1)**(1/2),x)","\frac{\sqrt{2} x \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{\pi \sqrt{\sqrt{x^{2} + 1} + 1}}"," ",0,"sqrt(2)*x*gamma(1/4)*gamma(3/4)/(pi*sqrt(sqrt(x**2 + 1) + 1))","B",0
159,0,0,0,0.000000," ","integrate((x**2-2*x-2)/(x**2+x+1)/(x**3-1)**(1/2),x)","\int \frac{x^{2} - 2 x - 2}{\sqrt{\left(x - 1\right) \left(x^{2} + x + 1\right)} \left(x^{2} + x + 1\right)}\, dx"," ",0,"Integral((x**2 - 2*x - 2)/(sqrt((x - 1)*(x**2 + x + 1))*(x**2 + x + 1)), x)","F",0
160,0,0,0,0.000000," ","integrate((a*x**2+b)/x/(a*x**3-b*x)**(1/2),x)","\int \frac{a x^{2} + b}{x \sqrt{x \left(a x^{2} - b\right)}}\, dx"," ",0,"Integral((a*x**2 + b)/(x*sqrt(x*(a*x**2 - b))), x)","F",0
161,0,0,0,0.000000," ","integrate((2*x**2-2*x-1)/(2*x**2+1)/(x**4+x)**(1/2),x)","\int \frac{2 x^{2} - 2 x - 1}{\sqrt{x \left(x + 1\right) \left(x^{2} - x + 1\right)} \left(2 x^{2} + 1\right)}\, dx"," ",0,"Integral((2*x**2 - 2*x - 1)/(sqrt(x*(x + 1)*(x**2 - x + 1))*(2*x**2 + 1)), x)","F",0
162,0,0,0,0.000000," ","integrate((x**4+1)/(x**4-1)/(x**4-x**2-1)**(1/2),x)","\int \frac{x^{4} + 1}{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \sqrt{x^{4} - x^{2} - 1}}\, dx"," ",0,"Integral((x**4 + 1)/((x - 1)*(x + 1)*(x**2 + 1)*sqrt(x**4 - x**2 - 1)), x)","F",0
163,0,0,0,0.000000," ","integrate(x/(x**4-4*x**3+6*x**2-4*x+1)**(1/5),x)","\int \frac{x}{\sqrt[5]{\left(x - 1\right)^{4}}}\, dx"," ",0,"Integral(x/((x - 1)**4)**(1/5), x)","F",0
164,0,0,0,0.000000," ","integrate((x**6-2)/x**4/(x**6+x**4+1)**(1/4),x)","\int \frac{x^{6} - 2}{x^{4} \sqrt[4]{x^{6} + x^{4} + 1}}\, dx"," ",0,"Integral((x**6 - 2)/(x**4*(x**6 + x**4 + 1)**(1/4)), x)","F",0
165,0,0,0,0.000000," ","integrate((x**8+1)/x**4/(x**8+x**4-1)**(1/4),x)","\int \frac{x^{8} + 1}{x^{4} \sqrt[4]{x^{8} + x^{4} - 1}}\, dx"," ",0,"Integral((x**8 + 1)/(x**4*(x**8 + x**4 - 1)**(1/4)), x)","F",0
166,0,0,0,0.000000," ","integrate((x**8-1)/x**4/(x**8+x**4+1)**(1/4),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \left(x^{4} + 1\right)}{x^{4} \sqrt[4]{\left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right) \left(x^{4} - x^{2} + 1\right)}}\, dx"," ",0,"Integral((x - 1)*(x + 1)*(x**2 + 1)*(x**4 + 1)/(x**4*((x**2 - x + 1)*(x**2 + x + 1)*(x**4 - x**2 + 1))**(1/4)), x)","F",0
167,0,0,0,0.000000," ","integrate((x**2+1)/(x**2-1)/(x**3-x)**(1/2),x)","\int \frac{x^{2} + 1}{\sqrt{x \left(x - 1\right) \left(x + 1\right)} \left(x - 1\right) \left(x + 1\right)}\, dx"," ",0,"Integral((x**2 + 1)/(sqrt(x*(x - 1)*(x + 1))*(x - 1)*(x + 1)), x)","F",0
168,0,0,0,0.000000," ","integrate(1/(x**2+1)/(x**3+x)**(1/3),x)","\int \frac{1}{\sqrt[3]{x \left(x^{2} + 1\right)} \left(x^{2} + 1\right)}\, dx"," ",0,"Integral(1/((x*(x**2 + 1))**(1/3)*(x**2 + 1)), x)","F",0
169,0,0,0,0.000000," ","integrate(1/x/(x**3-x**2)**(1/3),x)","\int \frac{1}{x \sqrt[3]{x^{2} \left(x - 1\right)}}\, dx"," ",0,"Integral(1/(x*(x**2*(x - 1))**(1/3)), x)","F",0
170,1,26,0,0.364756," ","integrate(x**2/(a*x**3-b)**(1/2),x)","\begin{cases} \frac{2 \sqrt{a x^{3} - b}}{3 a} & \text{for}\: a \neq 0 \\\frac{x^{3}}{3 \sqrt{- b}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*sqrt(a*x**3 - b)/(3*a), Ne(a, 0)), (x**3/(3*sqrt(-b)), True))","A",0
171,1,44,0,0.179320," ","integrate(x**2*(a*x**3-b)**(1/2),x)","\begin{cases} \frac{2 x^{3} \sqrt{a x^{3} - b}}{9} - \frac{2 b \sqrt{a x^{3} - b}}{9 a} & \text{for}\: a \neq 0 \\\frac{x^{3} \sqrt{- b}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*x**3*sqrt(a*x**3 - b)/9 - 2*b*sqrt(a*x**3 - b)/(9*a), Ne(a, 0)), (x**3*sqrt(-b)/3, True))","A",0
172,1,309,0,22.396935," ","integrate((a*x**3-b)**(1/2)*(a*x**3+2*b)/x**4,x)","a \left(\begin{cases} - \frac{2 i \sqrt{a} x^{\frac{3}{2}}}{3 \sqrt{-1 + \frac{b}{a x^{3}}}} - \frac{2 i \sqrt{b} \operatorname{acosh}{\left(\frac{\sqrt{b}}{\sqrt{a} x^{\frac{3}{2}}} \right)}}{3} + \frac{2 i b}{3 \sqrt{a} x^{\frac{3}{2}} \sqrt{-1 + \frac{b}{a x^{3}}}} & \text{for}\: \left|{\frac{b}{a x^{3}}}\right| > 1 \\\frac{2 \sqrt{a} x^{\frac{3}{2}}}{3 \sqrt{1 - \frac{b}{a x^{3}}}} + \frac{2 \sqrt{b} \operatorname{asin}{\left(\frac{\sqrt{b}}{\sqrt{a} x^{\frac{3}{2}}} \right)}}{3} - \frac{2 b}{3 \sqrt{a} x^{\frac{3}{2}} \sqrt{1 - \frac{b}{a x^{3}}}} & \text{otherwise} \end{cases}\right) + 2 b \left(\begin{cases} \frac{i \sqrt{a}}{3 x^{\frac{3}{2}} \sqrt{-1 + \frac{b}{a x^{3}}}} + \frac{i a \operatorname{acosh}{\left(\frac{\sqrt{b}}{\sqrt{a} x^{\frac{3}{2}}} \right)}}{3 \sqrt{b}} - \frac{i b}{3 \sqrt{a} x^{\frac{9}{2}} \sqrt{-1 + \frac{b}{a x^{3}}}} & \text{for}\: \left|{\frac{b}{a x^{3}}}\right| > 1 \\- \frac{\sqrt{a} \sqrt{1 - \frac{b}{a x^{3}}}}{3 x^{\frac{3}{2}}} - \frac{a \operatorname{asin}{\left(\frac{\sqrt{b}}{\sqrt{a} x^{\frac{3}{2}}} \right)}}{3 \sqrt{b}} & \text{otherwise} \end{cases}\right)"," ",0,"a*Piecewise((-2*I*sqrt(a)*x**(3/2)/(3*sqrt(-1 + b/(a*x**3))) - 2*I*sqrt(b)*acosh(sqrt(b)/(sqrt(a)*x**(3/2)))/3 + 2*I*b/(3*sqrt(a)*x**(3/2)*sqrt(-1 + b/(a*x**3))), Abs(b/(a*x**3)) > 1), (2*sqrt(a)*x**(3/2)/(3*sqrt(1 - b/(a*x**3))) + 2*sqrt(b)*asin(sqrt(b)/(sqrt(a)*x**(3/2)))/3 - 2*b/(3*sqrt(a)*x**(3/2)*sqrt(1 - b/(a*x**3))), True)) + 2*b*Piecewise((I*sqrt(a)/(3*x**(3/2)*sqrt(-1 + b/(a*x**3))) + I*a*acosh(sqrt(b)/(sqrt(a)*x**(3/2)))/(3*sqrt(b)) - I*b/(3*sqrt(a)*x**(9/2)*sqrt(-1 + b/(a*x**3))), Abs(b/(a*x**3)) > 1), (-sqrt(a)*sqrt(1 - b/(a*x**3))/(3*x**(3/2)) - a*asin(sqrt(b)/(sqrt(a)*x**(3/2)))/(3*sqrt(b)), True))","C",0
173,0,0,0,0.000000," ","integrate(1/x**2/(x**4-x**2)**(1/4),x)","\int \frac{1}{x^{2} \sqrt[4]{x^{2} \left(x - 1\right) \left(x + 1\right)}}\, dx"," ",0,"Integral(1/(x**2*(x**2*(x - 1)*(x + 1))**(1/4)), x)","F",0
174,0,0,0,0.000000," ","integrate((x**4-x**2)**(1/4)/x**4,x)","\int \frac{\sqrt[4]{x^{2} \left(x - 1\right) \left(x + 1\right)}}{x^{4}}\, dx"," ",0,"Integral((x**2*(x - 1)*(x + 1))**(1/4)/x**4, x)","F",0
175,0,0,0,0.000000," ","integrate((x**2+1)*(x**4-x**2)**(1/3)/x**3,x)","\int \frac{\sqrt[3]{x^{2} \left(x - 1\right) \left(x + 1\right)} \left(x^{2} + 1\right)}{x^{3}}\, dx"," ",0,"Integral((x**2*(x - 1)*(x + 1))**(1/3)*(x**2 + 1)/x**3, x)","F",0
176,0,0,0,0.000000," ","integrate(1/x/(x**4-x**3)**(1/4),x)","\int \frac{1}{x \sqrt[4]{x^{3} \left(x - 1\right)}}\, dx"," ",0,"Integral(1/(x*(x**3*(x - 1))**(1/4)), x)","F",0
177,0,0,0,0.000000," ","integrate((-1+x)*(x**4-x**3)**(1/4)/x**4,x)","\int \frac{\sqrt[4]{x^{3} \left(x - 1\right)} \left(x - 1\right)}{x^{4}}\, dx"," ",0,"Integral((x**3*(x - 1))**(1/4)*(x - 1)/x**4, x)","F",0
178,0,0,0,0.000000," ","integrate((x**4-x**3)**(1/4)/x**3,x)","\int \frac{\sqrt[4]{x^{3} \left(x - 1\right)}}{x^{3}}\, dx"," ",0,"Integral((x**3*(x - 1))**(1/4)/x**3, x)","F",0
179,1,56,0,0.194616," ","integrate(x*(2*x**2+1)*(2*x**4+2*x**2-1)**(1/2),x)","\frac{x^{4} \sqrt{2 x^{4} + 2 x^{2} - 1}}{3} + \frac{x^{2} \sqrt{2 x^{4} + 2 x^{2} - 1}}{3} - \frac{\sqrt{2 x^{4} + 2 x^{2} - 1}}{6}"," ",0,"x**4*sqrt(2*x**4 + 2*x**2 - 1)/3 + x**2*sqrt(2*x**4 + 2*x**2 - 1)/3 - sqrt(2*x**4 + 2*x**2 - 1)/6","B",0
180,0,0,0,0.000000," ","integrate((2*x**3+1)*(x**5-x**2)**(1/3)/x**3,x)","\int \frac{\sqrt[3]{x^{2} \left(x - 1\right) \left(x^{2} + x + 1\right)} \left(2 x^{3} + 1\right)}{x^{3}}\, dx"," ",0,"Integral((x**2*(x - 1)*(x**2 + x + 1))**(1/3)*(2*x**3 + 1)/x**3, x)","F",0
181,0,0,0,0.000000," ","integrate((x**4-1)/x**2/(x**5-x**3)**(1/4),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}{x^{2} \sqrt[4]{x^{3} \left(x - 1\right) \left(x + 1\right)}}\, dx"," ",0,"Integral((x - 1)*(x + 1)*(x**2 + 1)/(x**2*(x**3*(x - 1)*(x + 1))**(1/4)), x)","F",0
182,0,0,0,0.000000," ","integrate((x**4-1)*(x**5-x**3)**(1/4)/x**4,x)","\int \frac{\sqrt[4]{x^{3} \left(x - 1\right) \left(x + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}{x^{4}}\, dx"," ",0,"Integral((x**3*(x - 1)*(x + 1))**(1/4)*(x - 1)*(x + 1)*(x**2 + 1)/x**4, x)","F",0
183,0,0,0,0.000000," ","integrate((2*x**4-2*x**2-1)/x**2/(x**2+1)/(x**6+1)**(1/2),x)","\int \frac{2 x^{4} - 2 x^{2} - 1}{x^{2} \sqrt{\left(x^{2} + 1\right) \left(x^{4} - x^{2} + 1\right)} \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((2*x**4 - 2*x**2 - 1)/(x**2*sqrt((x**2 + 1)*(x**4 - x**2 + 1))*(x**2 + 1)), x)","F",0
184,0,0,0,0.000000," ","integrate(1/x**3/(x**6-x**2)**(1/3),x)","\int \frac{1}{x^{3} \sqrt[3]{x^{2} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}}\, dx"," ",0,"Integral(1/(x**3*(x**2*(x - 1)*(x + 1)*(x**2 + 1))**(1/3)), x)","F",0
185,0,0,0,0.000000," ","integrate((x**4+1)/x**2/(x**6-x**2)**(1/4),x)","\int \frac{x^{4} + 1}{x^{2} \sqrt[4]{x^{2} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}}\, dx"," ",0,"Integral((x**4 + 1)/(x**2*(x**2*(x - 1)*(x + 1)*(x**2 + 1))**(1/4)), x)","F",0
186,0,0,0,0.000000," ","integrate((x**4+1)*(x**6-x**2)**(1/4)/x**4,x)","\int \frac{\sqrt[4]{x^{2} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)} \left(x^{4} + 1\right)}{x^{4}}\, dx"," ",0,"Integral((x**2*(x - 1)*(x + 1)*(x**2 + 1))**(1/4)*(x**4 + 1)/x**4, x)","F",0
187,0,0,0,0.000000," ","integrate((x**8-1)/x**4/(x**6-x**2)**(1/4),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \left(x^{4} + 1\right)}{x^{4} \sqrt[4]{x^{2} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}}\, dx"," ",0,"Integral((x - 1)*(x + 1)*(x**2 + 1)*(x**4 + 1)/(x**4*(x**2*(x - 1)*(x + 1)*(x**2 + 1))**(1/4)), x)","F",0
188,0,0,0,0.000000," ","integrate((x**8+1)/(-x**8+1)**(1/4)/(x**8-1),x)","\int \frac{x^{8} + 1}{\sqrt[4]{- \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \left(x^{4} + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \left(x^{4} + 1\right)}\, dx"," ",0,"Integral((x**8 + 1)/((-(x - 1)*(x + 1)*(x**2 + 1)*(x**4 + 1))**(1/4)*(x - 1)*(x + 1)*(x**2 + 1)*(x**4 + 1)), x)","F",0
189,0,0,0,0.000000," ","integrate(1/(x**8-x**2)**(1/2),x)","\int \frac{1}{\sqrt{x^{8} - x^{2}}}\, dx"," ",0,"Integral(1/sqrt(x**8 - x**2), x)","F",0
190,0,0,0,0.000000," ","integrate((1+(x**2+1)**(1/2))**(1/2)/(x**2+1),x)","\int \frac{\sqrt{\sqrt{x^{2} + 1} + 1}}{x^{2} + 1}\, dx"," ",0,"Integral(sqrt(sqrt(x**2 + 1) + 1)/(x**2 + 1), x)","F",0
191,0,0,0,0.000000," ","integrate((-1+x)/(2+x)/(x**3-1)**(1/2),x)","\int \frac{x - 1}{\sqrt{\left(x - 1\right) \left(x^{2} + x + 1\right)} \left(x + 2\right)}\, dx"," ",0,"Integral((x - 1)/(sqrt((x - 1)*(x**2 + x + 1))*(x + 2)), x)","F",0
192,0,0,0,0.000000," ","integrate((x**2-2*x-2)/(x**2+2)/(x**3-1)**(1/2),x)","\int \frac{x^{2} - 2 x - 2}{\sqrt{\left(x - 1\right) \left(x^{2} + x + 1\right)} \left(x^{2} + 2\right)}\, dx"," ",0,"Integral((x**2 - 2*x - 2)/(sqrt((x - 1)*(x**2 + x + 1))*(x**2 + 2)), x)","F",0
193,0,0,0,0.000000," ","integrate((x**2-2*x-2)/(x**2+2*x)/(x**3-1)**(1/2),x)","\int \frac{x^{2} - 2 x - 2}{x \sqrt{\left(x - 1\right) \left(x^{2} + x + 1\right)} \left(x + 2\right)}\, dx"," ",0,"Integral((x**2 - 2*x - 2)/(x*sqrt((x - 1)*(x**2 + x + 1))*(x + 2)), x)","F",0
194,0,0,0,0.000000," ","integrate((2*x**2+2*x-1)/(-1+x)/x/(x**4-x)**(1/2),x)","\int \frac{2 x^{2} + 2 x - 1}{x \sqrt{x \left(x - 1\right) \left(x^{2} + x + 1\right)} \left(x - 1\right)}\, dx"," ",0,"Integral((2*x**2 + 2*x - 1)/(x*sqrt(x*(x - 1)*(x**2 + x + 1))*(x - 1)), x)","F",0
195,0,0,0,0.000000," ","integrate((2*x**2+2*x-1)/(2*x**2+1)/(x**4-x)**(1/2),x)","\int \frac{2 x^{2} + 2 x - 1}{\sqrt{x \left(x - 1\right) \left(x^{2} + x + 1\right)} \left(2 x^{2} + 1\right)}\, dx"," ",0,"Integral((2*x**2 + 2*x - 1)/(sqrt(x*(x - 1)*(x**2 + x + 1))*(2*x**2 + 1)), x)","F",0
196,0,0,0,0.000000," ","integrate((2*x**2-2*x-1)/(-1+2*x)/(x**4+x)**(1/2),x)","\int \frac{2 x^{2} - 2 x - 1}{\sqrt{x \left(x + 1\right) \left(x^{2} - x + 1\right)} \left(2 x - 1\right)}\, dx"," ",0,"Integral((2*x**2 - 2*x - 1)/(sqrt(x*(x + 1)*(x**2 - x + 1))*(2*x - 1)), x)","F",0
197,0,0,0,0.000000," ","integrate((2*x**2-2*x-1)/(x**2-x+1)/(x**4+x)**(1/2),x)","\int \frac{2 x^{2} - 2 x - 1}{\sqrt{x \left(x + 1\right) \left(x^{2} - x + 1\right)} \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral((2*x**2 - 2*x - 1)/(sqrt(x*(x + 1)*(x**2 - x + 1))*(x**2 - x + 1)), x)","F",0
198,0,0,0,0.000000," ","integrate(1/(1+x)/(x**4+x**3)**(1/4),x)","\int \frac{1}{\sqrt[4]{x^{3} \left(x + 1\right)} \left(x + 1\right)}\, dx"," ",0,"Integral(1/((x**3*(x + 1))**(1/4)*(x + 1)), x)","F",0
199,0,0,0,0.000000," ","integrate((2*x**4+1)/(2*x**4-1)/(2*x**4-x**2-1)**(1/2),x)","\int \frac{2 x^{4} + 1}{\sqrt{\left(x - 1\right) \left(x + 1\right) \left(2 x^{2} + 1\right)} \left(2 x^{4} - 1\right)}\, dx"," ",0,"Integral((2*x**4 + 1)/(sqrt((x - 1)*(x + 1)*(2*x**2 + 1))*(2*x**4 - 1)), x)","F",0
200,0,0,0,0.000000," ","integrate((2*x**4-1)/(2*x**4+2*x**2+1)/(2*x**4+3*x**2+1)**(1/2),x)","\int \frac{2 x^{4} - 1}{\sqrt{\left(x^{2} + 1\right) \left(2 x^{2} + 1\right)} \left(2 x^{4} + 2 x^{2} + 1\right)}\, dx"," ",0,"Integral((2*x**4 - 1)/(sqrt((x**2 + 1)*(2*x**2 + 1))*(2*x**4 + 2*x**2 + 1)), x)","F",0
201,0,0,0,0.000000," ","integrate((-x**5+x**4-1)**(1/4)*(x**5-4)/x**6,x)","\int \frac{\left(x^{5} - 4\right) \sqrt[4]{- x^{5} + x^{4} - 1}}{x^{6}}\, dx"," ",0,"Integral((x**5 - 4)*(-x**5 + x**4 - 1)**(1/4)/x**6, x)","F",0
202,0,0,0,0.000000," ","integrate((x**8+1)*(x**8-2*x**4-1)**(1/2)/x**7,x)","\int \frac{\left(x^{8} + 1\right) \sqrt{x^{8} - 2 x^{4} - 1}}{x^{7}}\, dx"," ",0,"Integral((x**8 + 1)*sqrt(x**8 - 2*x**4 - 1)/x**7, x)","F",0
203,-1,0,0,0.000000," ","integrate(x**2*(x**3-2)*(x**3+1)**(1/2)/(4*x**9+13*x**6+12*x**3+4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
204,0,0,0,0.000000," ","integrate(1/(x**2-1)/(x**3-x)**(1/3),x)","\int \frac{1}{\sqrt[3]{x \left(x - 1\right) \left(x + 1\right)} \left(x - 1\right) \left(x + 1\right)}\, dx"," ",0,"Integral(1/((x*(x - 1)*(x + 1))**(1/3)*(x - 1)*(x + 1)), x)","F",0
205,0,0,0,0.000000," ","integrate(1/(x**3-1)/(x**4-x)**(1/4),x)","\int \frac{1}{\sqrt[4]{x \left(x - 1\right) \left(x^{2} + x + 1\right)} \left(x - 1\right) \left(x^{2} + x + 1\right)}\, dx"," ",0,"Integral(1/((x*(x - 1)*(x**2 + x + 1))**(1/4)*(x - 1)*(x**2 + x + 1)), x)","F",0
206,1,41,0,0.715123," ","integrate((b+(a*x**2+b**2)**(1/2))**(1/2)/(a*x**2+b**2)**(1/2),x)","\frac{\sqrt{2} x \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{\pi \sqrt{b} \sqrt{\sqrt{\frac{a x^{2}}{b^{2}} + 1} + 1}}"," ",0,"sqrt(2)*x*gamma(1/4)*gamma(3/4)/(pi*sqrt(b)*sqrt(sqrt(a*x**2/b**2 + 1) + 1))","B",0
207,1,32,0,0.743846," ","integrate(1/x/(x**2+1)**(1/4),x)","- \frac{\Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{4}, \frac{1}{4} \\ \frac{5}{4} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{2}}} \right)}}{2 \sqrt{x} \Gamma\left(\frac{5}{4}\right)}"," ",0,"-gamma(1/4)*hyper((1/4, 1/4), (5/4,), exp_polar(I*pi)/x**2)/(2*sqrt(x)*gamma(5/4))","C",0
208,0,0,0,0.000000," ","integrate((-5+2*x)/(x**2-4*x+4)**(1/4),x)","\int \frac{2 x - 5}{\sqrt[4]{\left(x - 2\right)^{2}}}\, dx"," ",0,"Integral((2*x - 5)/((x - 2)**2)**(1/4), x)","F",0
209,1,37,0,0.361022," ","integrate(x**5*(x**3+1)**(1/3),x)","\frac{x^{6} \sqrt[3]{x^{3} + 1}}{7} + \frac{x^{3} \sqrt[3]{x^{3} + 1}}{28} - \frac{3 \sqrt[3]{x^{3} + 1}}{28}"," ",0,"x**6*(x**3 + 1)**(1/3)/7 + x**3*(x**3 + 1)**(1/3)/28 - 3*(x**3 + 1)**(1/3)/28","A",0
210,0,0,0,0.000000," ","integrate((3*x**2+1)*(x**3-x)**(1/3)/x**2,x)","\int \frac{\sqrt[3]{x \left(x - 1\right) \left(x + 1\right)} \left(3 x^{2} + 1\right)}{x^{2}}\, dx"," ",0,"Integral((x*(x - 1)*(x + 1))**(1/3)*(3*x**2 + 1)/x**2, x)","F",0
211,0,0,0,0.000000," ","integrate(1/(-1+x)/(x**3-x**2)**(1/3),x)","\int \frac{1}{\sqrt[3]{x^{2} \left(x - 1\right)} \left(x - 1\right)}\, dx"," ",0,"Integral(1/((x**2*(x - 1))**(1/3)*(x - 1)), x)","F",0
212,0,0,0,0.000000," ","integrate(1/x**2/(x**3+x**2)**(1/3),x)","\int \frac{1}{x^{2} \sqrt[3]{x^{2} \left(x + 1\right)}}\, dx"," ",0,"Integral(1/(x**2*(x**2*(x + 1))**(1/3)), x)","F",0
213,0,0,0,0.000000," ","integrate((2*x**2+3)*(2*x**3+x)**(1/2)/(2*x**2+1)**2,x)","\int \frac{\sqrt{x \left(2 x^{2} + 1\right)} \left(2 x^{2} + 3\right)}{\left(2 x^{2} + 1\right)^{2}}\, dx"," ",0,"Integral(sqrt(x*(2*x**2 + 1))*(2*x**2 + 3)/(2*x**2 + 1)**2, x)","F",0
214,1,124,0,0.816858," ","integrate(1/x**6/(x**4-1)**(3/4),x)","\begin{cases} - \frac{\sqrt[4]{-1 + \frac{1}{x^{4}}} e^{- \frac{3 i \pi}{4}} \Gamma\left(- \frac{5}{4}\right)}{4 \Gamma\left(\frac{3}{4}\right)} - \frac{\sqrt[4]{-1 + \frac{1}{x^{4}}} e^{- \frac{3 i \pi}{4}} \Gamma\left(- \frac{5}{4}\right)}{16 x^{4} \Gamma\left(\frac{3}{4}\right)} & \text{for}\: \frac{1}{\left|{x^{4}}\right|} > 1 \\\frac{\sqrt[4]{1 - \frac{1}{x^{4}}} \Gamma\left(- \frac{5}{4}\right)}{4 \Gamma\left(\frac{3}{4}\right)} + \frac{\sqrt[4]{1 - \frac{1}{x^{4}}} \Gamma\left(- \frac{5}{4}\right)}{16 x^{4} \Gamma\left(\frac{3}{4}\right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-(-1 + x**(-4))**(1/4)*exp(-3*I*pi/4)*gamma(-5/4)/(4*gamma(3/4)) - (-1 + x**(-4))**(1/4)*exp(-3*I*pi/4)*gamma(-5/4)/(16*x**4*gamma(3/4)), 1/Abs(x**4) > 1), ((1 - 1/x**4)**(1/4)*gamma(-5/4)/(4*gamma(3/4)) + (1 - 1/x**4)**(1/4)*gamma(-5/4)/(16*x**4*gamma(3/4)), True))","B",0
215,1,75,0,0.768877," ","integrate(1/x**4/(x**4+1)**(5/4),x)","\frac{4 x^{4} \left(x^{4} + 1\right)^{\frac{3}{4}} \Gamma\left(- \frac{3}{4}\right)}{16 x^{7} \Gamma\left(\frac{5}{4}\right) + 16 x^{3} \Gamma\left(\frac{5}{4}\right)} + \frac{\left(x^{4} + 1\right)^{\frac{3}{4}} \Gamma\left(- \frac{3}{4}\right)}{16 x^{7} \Gamma\left(\frac{5}{4}\right) + 16 x^{3} \Gamma\left(\frac{5}{4}\right)}"," ",0,"4*x**4*(x**4 + 1)**(3/4)*gamma(-3/4)/(16*x**7*gamma(5/4) + 16*x**3*gamma(5/4)) + (x**4 + 1)**(3/4)*gamma(-3/4)/(16*x**7*gamma(5/4) + 16*x**3*gamma(5/4))","B",0
216,1,48,0,0.774012," ","integrate(1/x**6/(x**4+1)**(3/4),x)","\frac{\sqrt[4]{x^{4} + 1} \Gamma\left(- \frac{5}{4}\right)}{4 x \Gamma\left(\frac{3}{4}\right)} - \frac{\sqrt[4]{x^{4} + 1} \Gamma\left(- \frac{5}{4}\right)}{16 x^{5} \Gamma\left(\frac{3}{4}\right)}"," ",0,"(x**4 + 1)**(1/4)*gamma(-5/4)/(4*x*gamma(3/4)) - (x**4 + 1)**(1/4)*gamma(-5/4)/(16*x**5*gamma(3/4))","B",0
217,1,71,0,1.796281," ","integrate((x**4-1)/x**6/(x**4+1)**(3/4),x)","\frac{\sqrt[4]{1 + \frac{1}{x^{4}}} \Gamma\left(- \frac{1}{4}\right)}{4 \Gamma\left(\frac{3}{4}\right)} - \frac{\sqrt[4]{x^{4} + 1} \Gamma\left(- \frac{5}{4}\right)}{4 x \Gamma\left(\frac{3}{4}\right)} + \frac{\sqrt[4]{x^{4} + 1} \Gamma\left(- \frac{5}{4}\right)}{16 x^{5} \Gamma\left(\frac{3}{4}\right)}"," ",0,"(1 + x**(-4))**(1/4)*gamma(-1/4)/(4*gamma(3/4)) - (x**4 + 1)**(1/4)*gamma(-5/4)/(4*x*gamma(3/4)) + (x**4 + 1)**(1/4)*gamma(-5/4)/(16*x**5*gamma(3/4))","B",0
218,0,0,0,0.000000," ","integrate((x**2+1)/(-x**2+1)/(x**4+1)**(1/2),x)","- \int \frac{x^{2}}{x^{2} \sqrt{x^{4} + 1} - \sqrt{x^{4} + 1}}\, dx - \int \frac{1}{x^{2} \sqrt{x^{4} + 1} - \sqrt{x^{4} + 1}}\, dx"," ",0,"-Integral(x**2/(x**2*sqrt(x**4 + 1) - sqrt(x**4 + 1)), x) - Integral(1/(x**2*sqrt(x**4 + 1) - sqrt(x**4 + 1)), x)","F",0
219,0,0,0,0.000000," ","integrate((2*x**2+2*x-1)/(1+2*x)/(x**4-x)**(1/2),x)","\int \frac{2 x^{2} + 2 x - 1}{\sqrt{x \left(x - 1\right) \left(x^{2} + x + 1\right)} \left(2 x + 1\right)}\, dx"," ",0,"Integral((2*x**2 + 2*x - 1)/(sqrt(x*(x - 1)*(x**2 + x + 1))*(2*x + 1)), x)","F",0
220,0,0,0,0.000000," ","integrate(1/x**5/(x**4+x)**(1/2),x)","\int \frac{1}{x^{5} \sqrt{x \left(x + 1\right) \left(x^{2} - x + 1\right)}}\, dx"," ",0,"Integral(1/(x**5*sqrt(x*(x + 1)*(x**2 - x + 1))), x)","F",0
221,0,0,0,0.000000," ","integrate((x**3-1)/x**6/(x**4+x)**(1/4),x)","\int \frac{\left(x - 1\right) \left(x^{2} + x + 1\right)}{x^{6} \sqrt[4]{x \left(x + 1\right) \left(x^{2} - x + 1\right)}}\, dx"," ",0,"Integral((x - 1)*(x**2 + x + 1)/(x**6*(x*(x + 1)*(x**2 - x + 1))**(1/4)), x)","F",0
222,0,0,0,0.000000," ","integrate((2*x**3+1)/x**6/(x**4+x)**(1/4),x)","\int \frac{2 x^{3} + 1}{x^{6} \sqrt[4]{x \left(x + 1\right) \left(x^{2} - x + 1\right)}}\, dx"," ",0,"Integral((2*x**3 + 1)/(x**6*(x*(x + 1)*(x**2 - x + 1))**(1/4)), x)","F",0
223,0,0,0,0.000000," ","integrate((x**2-1)/(x**2+1)/(x**4+x**2)**(1/3),x)","\int \frac{\left(x - 1\right) \left(x + 1\right)}{\sqrt[3]{x^{2} \left(x^{2} + 1\right)} \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x - 1)*(x + 1)/((x**2*(x**2 + 1))**(1/3)*(x**2 + 1)), x)","F",0
224,0,0,0,0.000000," ","integrate(1/(x**2+1)/(x**4+x**2)**(1/4),x)","\int \frac{1}{\sqrt[4]{x^{2} \left(x^{2} + 1\right)} \left(x^{2} + 1\right)}\, dx"," ",0,"Integral(1/((x**2*(x**2 + 1))**(1/4)*(x**2 + 1)), x)","F",0
225,0,0,0,0.000000," ","integrate(1/(-1+x)/(x**4-x**3)**(1/4),x)","\int \frac{1}{\sqrt[4]{x^{3} \left(x - 1\right)} \left(x - 1\right)}\, dx"," ",0,"Integral(1/((x**3*(x - 1))**(1/4)*(x - 1)), x)","F",0
226,0,0,0,0.000000," ","integrate(1/x/(x**4+x**3)**(1/2),x)","\int \frac{1}{x \sqrt{x^{3} \left(x + 1\right)}}\, dx"," ",0,"Integral(1/(x*sqrt(x**3*(x + 1))), x)","F",0
227,0,0,0,0.000000," ","integrate(1/x**2/(x**4+x**3)**(1/4),x)","\int \frac{1}{x^{2} \sqrt[4]{x^{3} \left(x + 1\right)}}\, dx"," ",0,"Integral(1/(x**2*(x**3*(x + 1))**(1/4)), x)","F",0
228,0,0,0,0.000000," ","integrate((1+2*x)/(x**4+2*x**3+x**2+3)**(1/2),x)","\int \frac{2 x + 1}{\sqrt{\left(x^{2} - x + 1\right) \left(x^{2} + 3 x + 3\right)}}\, dx"," ",0,"Integral((2*x + 1)/sqrt((x**2 - x + 1)*(x**2 + 3*x + 3)), x)","F",0
229,1,190,0,2.002262," ","integrate((2*x**4-1)/x**8/(x**4-1)**(1/4),x)","2 \left(\begin{cases} - \frac{\left(-1 + \frac{1}{x^{4}}\right)^{\frac{3}{4}} e^{\frac{3 i \pi}{4}} \Gamma\left(- \frac{3}{4}\right)}{4 \Gamma\left(\frac{1}{4}\right)} & \text{for}\: \frac{1}{\left|{x^{4}}\right|} > 1 \\- \frac{\left(1 - \frac{1}{x^{4}}\right)^{\frac{3}{4}} \Gamma\left(- \frac{3}{4}\right)}{4 \Gamma\left(\frac{1}{4}\right)} & \text{otherwise} \end{cases}\right) - \begin{cases} - \frac{\left(-1 + \frac{1}{x^{4}}\right)^{\frac{3}{4}} e^{- \frac{i \pi}{4}} \Gamma\left(- \frac{7}{4}\right)}{4 \Gamma\left(\frac{1}{4}\right)} - \frac{3 \left(-1 + \frac{1}{x^{4}}\right)^{\frac{3}{4}} e^{- \frac{i \pi}{4}} \Gamma\left(- \frac{7}{4}\right)}{16 x^{4} \Gamma\left(\frac{1}{4}\right)} & \text{for}\: \frac{1}{\left|{x^{4}}\right|} > 1 \\\frac{\left(1 - \frac{1}{x^{4}}\right)^{\frac{3}{4}} \Gamma\left(- \frac{7}{4}\right)}{4 \Gamma\left(\frac{1}{4}\right)} + \frac{3 \left(1 - \frac{1}{x^{4}}\right)^{\frac{3}{4}} \Gamma\left(- \frac{7}{4}\right)}{16 x^{4} \Gamma\left(\frac{1}{4}\right)} & \text{otherwise} \end{cases}"," ",0,"2*Piecewise((-(-1 + x**(-4))**(3/4)*exp(3*I*pi/4)*gamma(-3/4)/(4*gamma(1/4)), 1/Abs(x**4) > 1), (-(1 - 1/x**4)**(3/4)*gamma(-3/4)/(4*gamma(1/4)), True)) - Piecewise((-(-1 + x**(-4))**(3/4)*exp(-I*pi/4)*gamma(-7/4)/(4*gamma(1/4)) - 3*(-1 + x**(-4))**(3/4)*exp(-I*pi/4)*gamma(-7/4)/(16*x**4*gamma(1/4)), 1/Abs(x**4) > 1), ((1 - 1/x**4)**(3/4)*gamma(-7/4)/(4*gamma(1/4)) + 3*(1 - 1/x**4)**(3/4)*gamma(-7/4)/(16*x**4*gamma(1/4)), True))","C",0
230,1,97,0,5.018863," ","integrate((2*x**4+1)/x**4/(x**4+1)**(5/4),x)","\frac{4 x^{4} \left(x^{4} + 1\right)^{\frac{3}{4}} \Gamma\left(- \frac{3}{4}\right)}{16 x^{7} \Gamma\left(\frac{5}{4}\right) + 16 x^{3} \Gamma\left(\frac{5}{4}\right)} + \frac{x \Gamma\left(\frac{1}{4}\right)}{2 \sqrt[4]{x^{4} + 1} \Gamma\left(\frac{5}{4}\right)} + \frac{\left(x^{4} + 1\right)^{\frac{3}{4}} \Gamma\left(- \frac{3}{4}\right)}{16 x^{7} \Gamma\left(\frac{5}{4}\right) + 16 x^{3} \Gamma\left(\frac{5}{4}\right)}"," ",0,"4*x**4*(x**4 + 1)**(3/4)*gamma(-3/4)/(16*x**7*gamma(5/4) + 16*x**3*gamma(5/4)) + x*gamma(1/4)/(2*(x**4 + 1)**(1/4)*gamma(5/4)) + (x**4 + 1)**(3/4)*gamma(-3/4)/(16*x**7*gamma(5/4) + 16*x**3*gamma(5/4))","B",0
231,1,37,0,0.429377," ","integrate((4*x**3+1)*(2*x**4+2*x+1)/(x**4+x)**(1/2),x)","\frac{4 x^{4} \sqrt{x^{4} + x}}{3} + \frac{4 x \sqrt{x^{4} + x}}{3} + 2 \sqrt{x^{4} + x}"," ",0,"4*x**4*sqrt(x**4 + x)/3 + 4*x*sqrt(x**4 + x)/3 + 2*sqrt(x**4 + x)","A",0
232,0,0,0,0.000000," ","integrate((x**2-1)/(x**2+1)/(x**5+x**3)**(1/4),x)","\int \frac{\left(x - 1\right) \left(x + 1\right)}{\sqrt[4]{x^{3} \left(x^{2} + 1\right)} \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x - 1)*(x + 1)/((x**3*(x**2 + 1))**(1/4)*(x**2 + 1)), x)","F",0
233,1,63,0,0.925021," ","integrate(1/x**10/(x**6-1)**(1/2),x)","\begin{cases} \frac{2 \sqrt{x^{6} - 1}}{9 x^{3}} + \frac{\sqrt{x^{6} - 1}}{9 x^{9}} & \text{for}\: \left|{x^{6}}\right| > 1 \\\frac{2 i \sqrt{1 - x^{6}}}{9 x^{3}} + \frac{i \sqrt{1 - x^{6}}}{9 x^{9}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*sqrt(x**6 - 1)/(9*x**3) + sqrt(x**6 - 1)/(9*x**9), Abs(x**6) > 1), (2*I*sqrt(1 - x**6)/(9*x**3) + I*sqrt(1 - x**6)/(9*x**9), True))","A",0
234,1,49,0,2.890890," ","integrate((x**6+1)/x**10/(x**6-1)**(1/2),x)","\frac{\begin{cases} \frac{\sqrt{x^{6} - 1}}{x^{3}} & \text{for}\: x > -1 \wedge x < 1 \end{cases}}{3} + \frac{\begin{cases} \frac{\sqrt{x^{6} - 1}}{x^{3}} - \frac{\left(x^{6} - 1\right)^{\frac{3}{2}}}{3 x^{9}} & \text{for}\: x > -1 \wedge x < 1 \end{cases}}{3}"," ",0,"Piecewise((sqrt(x**6 - 1)/x**3, (x > -1) & (x < 1)))/3 + Piecewise((sqrt(x**6 - 1)/x**3 - (x**6 - 1)**(3/2)/(3*x**9), (x > -1) & (x < 1)))/3","A",0
235,0,0,0,0.000000," ","integrate((3*x**4-1)/(x**4+1)/(x**6+x**2)**(1/3),x)","\int \frac{3 x^{4} - 1}{\sqrt[3]{x^{2} \left(x^{4} + 1\right)} \left(x^{4} + 1\right)}\, dx"," ",0,"Integral((3*x**4 - 1)/((x**2*(x**4 + 1))**(1/3)*(x**4 + 1)), x)","F",0
236,0,0,0,0.000000," ","integrate((x**4-1)/(x**4+1)/(x**6+x**2)**(1/4),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}{\sqrt[4]{x^{2} \left(x^{4} + 1\right)} \left(x^{4} + 1\right)}\, dx"," ",0,"Integral((x - 1)*(x + 1)*(x**2 + 1)/((x**2*(x**4 + 1))**(1/4)*(x**4 + 1)), x)","F",0
237,0,0,0,0.000000," ","integrate(x**2*(2*x**2+3)*(2*x**6+x**2+1)/(x**2+1)**2/(x**6+x**2+1)**(1/2),x)","\int \frac{x^{2} \left(2 x^{2} + 3\right) \left(2 x^{6} + x^{2} + 1\right)}{\left(x^{2} + 1\right)^{2} \sqrt{x^{6} + x^{2} + 1}}\, dx"," ",0,"Integral(x**2*(2*x**2 + 3)*(2*x**6 + x**2 + 1)/((x**2 + 1)**2*sqrt(x**6 + x**2 + 1)), x)","F",0
238,0,0,0,0.000000," ","integrate(1/(x**3+x**2-5*x+3)**(1/2),x)","\int \frac{1}{\sqrt{x^{3} + x^{2} - 5 x + 3}}\, dx"," ",0,"Integral(1/sqrt(x**3 + x**2 - 5*x + 3), x)","F",0
239,0,0,0,0.000000," ","integrate((-1+x)/(1+x)/(x**3+x**2+x)**(1/2),x)","\int \frac{x - 1}{\sqrt{x \left(x^{2} + x + 1\right)} \left(x + 1\right)}\, dx"," ",0,"Integral((x - 1)/(sqrt(x*(x**2 + x + 1))*(x + 1)), x)","F",0
240,0,0,0,0.000000," ","integrate((x**2-1)/(x**2+1)/(x**3+x**2+x)**(1/2),x)","\int \frac{\left(x - 1\right) \left(x + 1\right)}{\sqrt{x \left(x^{2} + x + 1\right)} \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x - 1)*(x + 1)/(sqrt(x*(x**2 + x + 1))*(x**2 + 1)), x)","F",0
241,0,0,0,0.000000," ","integrate((x**2-1)/(x**2+1)/(x**4+1)**(1/2),x)","\int \frac{\left(x - 1\right) \left(x + 1\right)}{\left(x^{2} + 1\right) \sqrt{x^{4} + 1}}\, dx"," ",0,"Integral((x - 1)*(x + 1)/((x**2 + 1)*sqrt(x**4 + 1)), x)","F",0
242,0,0,0,0.000000," ","integrate((x**2+1)/(x**2-1)/(x**4+1)**(1/2),x)","\int \frac{x^{2} + 1}{\left(x - 1\right) \left(x + 1\right) \sqrt{x^{4} + 1}}\, dx"," ",0,"Integral((x**2 + 1)/((x - 1)*(x + 1)*sqrt(x**4 + 1)), x)","F",0
243,0,0,0,0.000000," ","integrate((-3*x**5+2)/(x**5+1)**(1/2)/(x**5-a*x**2+1),x)","- \int \frac{3 x^{5}}{- a x^{2} \sqrt{x^{5} + 1} + x^{5} \sqrt{x^{5} + 1} + \sqrt{x^{5} + 1}}\, dx - \int \left(- \frac{2}{- a x^{2} \sqrt{x^{5} + 1} + x^{5} \sqrt{x^{5} + 1} + \sqrt{x^{5} + 1}}\right)\, dx"," ",0,"-Integral(3*x**5/(-a*x**2*sqrt(x**5 + 1) + x**5*sqrt(x**5 + 1) + sqrt(x**5 + 1)), x) - Integral(-2/(-a*x**2*sqrt(x**5 + 1) + x**5*sqrt(x**5 + 1) + sqrt(x**5 + 1)), x)","F",0
244,0,0,0,0.000000," ","integrate((3*x**5+2)/(x**5-1)**(1/2)/(x**5-a*x**2-1),x)","\int \frac{3 x^{5} + 2}{\sqrt{\left(x - 1\right) \left(x^{4} + x^{3} + x^{2} + x + 1\right)} \left(- a x^{2} + x^{5} - 1\right)}\, dx"," ",0,"Integral((3*x**5 + 2)/(sqrt((x - 1)*(x**4 + x**3 + x**2 + x + 1))*(-a*x**2 + x**5 - 1)), x)","F",0
245,0,0,0,0.000000," ","integrate((3*x**5+2)/(x**5-1)**(1/2)/(a*x**5-x**2-a),x)","\int \frac{3 x^{5} + 2}{\sqrt{\left(x - 1\right) \left(x^{4} + x^{3} + x^{2} + x + 1\right)} \left(a x^{5} - a - x^{2}\right)}\, dx"," ",0,"Integral((3*x**5 + 2)/(sqrt((x - 1)*(x**4 + x**3 + x**2 + x + 1))*(a*x**5 - a - x**2)), x)","F",0
246,0,0,0,0.000000," ","integrate((3*x**5-2)/(x**5+1)**(1/2)/(a*x**5-x**2+a),x)","\int \frac{3 x^{5} - 2}{\sqrt{\left(x + 1\right) \left(x^{4} - x^{3} + x^{2} - x + 1\right)} \left(a x^{5} + a - x^{2}\right)}\, dx"," ",0,"Integral((3*x**5 - 2)/(sqrt((x + 1)*(x**4 - x**3 + x**2 - x + 1))*(a*x**5 + a - x**2)), x)","F",0
247,0,0,0,0.000000," ","integrate((2*x**4-2*x**2-1)/(x**4-x**2+1)/(x**6+1)**(1/2),x)","\int \frac{2 x^{4} - 2 x^{2} - 1}{\sqrt{\left(x^{2} + 1\right) \left(x^{4} - x^{2} + 1\right)} \left(x^{4} - x^{2} + 1\right)}\, dx"," ",0,"Integral((2*x**4 - 2*x**2 - 1)/(sqrt((x**2 + 1)*(x**4 - x**2 + 1))*(x**4 - x**2 + 1)), x)","F",0
248,0,0,0,0.000000," ","integrate((4*x**5-1)/(x**5-a*x+1)/(x**6+x)**(1/2),x)","\int \frac{4 x^{5} - 1}{\sqrt{x \left(x + 1\right) \left(x^{4} - x^{3} + x^{2} - x + 1\right)} \left(- a x + x^{5} + 1\right)}\, dx"," ",0,"Integral((4*x**5 - 1)/(sqrt(x*(x + 1)*(x**4 - x**3 + x**2 - x + 1))*(-a*x + x**5 + 1)), x)","F",0
249,0,0,0,0.000000," ","integrate((4*x**5-1)/(a*x**5+a-x)/(x**6+x)**(1/2),x)","\int \frac{4 x^{5} - 1}{\sqrt{x \left(x + 1\right) \left(x^{4} - x^{3} + x^{2} - x + 1\right)} \left(a x^{5} + a - x\right)}\, dx"," ",0,"Integral((4*x**5 - 1)/(sqrt(x*(x + 1)*(x**4 - x**3 + x**2 - x + 1))*(a*x**5 + a - x)), x)","F",0
250,1,41,0,0.370897," ","integrate(x**3*(x**2-1)**(2/3),x)","\frac{3 x^{4} \left(x^{2} - 1\right)^{\frac{2}{3}}}{16} - \frac{3 x^{2} \left(x^{2} - 1\right)^{\frac{2}{3}}}{40} - \frac{9 \left(x^{2} - 1\right)^{\frac{2}{3}}}{80}"," ",0,"3*x**4*(x**2 - 1)**(2/3)/16 - 3*x**2*(x**2 - 1)**(2/3)/40 - 9*(x**2 - 1)**(2/3)/80","A",0
251,1,41,0,0.764377," ","integrate(x**3*(x**2-1)**(3/4),x)","\frac{2 x^{4} \left(x^{2} - 1\right)^{\frac{3}{4}}}{11} - \frac{6 x^{2} \left(x^{2} - 1\right)^{\frac{3}{4}}}{77} - \frac{8 \left(x^{2} - 1\right)^{\frac{3}{4}}}{77}"," ",0,"2*x**4*(x**2 - 1)**(3/4)/11 - 6*x**2*(x**2 - 1)**(3/4)/77 - 8*(x**2 - 1)**(3/4)/77","A",0
252,1,32,0,0.850064," ","integrate(1/x/(x**2+1)**(3/4),x)","- \frac{\Gamma\left(\frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{3}{4} \\ \frac{7}{4} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{2}}} \right)}}{2 x^{\frac{3}{2}} \Gamma\left(\frac{7}{4}\right)}"," ",0,"-gamma(3/4)*hyper((3/4, 3/4), (7/4,), exp_polar(I*pi)/x**2)/(2*x**(3/2)*gamma(7/4))","C",0
253,1,41,0,0.798911," ","integrate(x**3*(x**2+1)**(3/4),x)","\frac{2 x^{4} \left(x^{2} + 1\right)^{\frac{3}{4}}}{11} + \frac{6 x^{2} \left(x^{2} + 1\right)^{\frac{3}{4}}}{77} - \frac{8 \left(x^{2} + 1\right)^{\frac{3}{4}}}{77}"," ",0,"2*x**4*(x**2 + 1)**(3/4)/11 + 6*x**2*(x**2 + 1)**(3/4)/77 - 8*(x**2 + 1)**(3/4)/77","A",0
254,1,37,0,0.407347," ","integrate(x**5*(x**3-1)**(1/3),x)","\frac{x^{6} \sqrt[3]{x^{3} - 1}}{7} - \frac{x^{3} \sqrt[3]{x^{3} - 1}}{28} - \frac{3 \sqrt[3]{x^{3} - 1}}{28}"," ",0,"x**6*(x**3 - 1)**(1/3)/7 - x**3*(x**3 - 1)**(1/3)/28 - 3*(x**3 - 1)**(1/3)/28","A",0
255,1,41,0,1.250055," ","integrate(x**5*(x**3-1)**(3/4),x)","\frac{4 x^{6} \left(x^{3} - 1\right)^{\frac{3}{4}}}{33} - \frac{4 x^{3} \left(x^{3} - 1\right)^{\frac{3}{4}}}{77} - \frac{16 \left(x^{3} - 1\right)^{\frac{3}{4}}}{231}"," ",0,"4*x**6*(x**3 - 1)**(3/4)/33 - 4*x**3*(x**3 - 1)**(3/4)/77 - 16*(x**3 - 1)**(3/4)/231","A",0
256,1,41,0,1.245439," ","integrate(x**8/(x**3+1)**(1/4),x)","\frac{4 x^{6} \left(x^{3} + 1\right)^{\frac{3}{4}}}{33} - \frac{32 x^{3} \left(x^{3} + 1\right)^{\frac{3}{4}}}{231} + \frac{128 \left(x^{3} + 1\right)^{\frac{3}{4}}}{693}"," ",0,"4*x**6*(x**3 + 1)**(3/4)/33 - 32*x**3*(x**3 + 1)**(3/4)/231 + 128*(x**3 + 1)**(3/4)/693","A",0
257,1,37,0,0.630877," ","integrate(x**5*(x**3+1)**(2/3),x)","\frac{x^{6} \left(x^{3} + 1\right)^{\frac{2}{3}}}{8} + \frac{x^{3} \left(x^{3} + 1\right)^{\frac{2}{3}}}{20} - \frac{3 \left(x^{3} + 1\right)^{\frac{2}{3}}}{40}"," ",0,"x**6*(x**3 + 1)**(2/3)/8 + x**3*(x**3 + 1)**(2/3)/20 - 3*(x**3 + 1)**(2/3)/40","A",0
258,0,0,0,0.000000," ","integrate(1/x**2/(x**3-x**2)**(1/3),x)","\int \frac{1}{x^{2} \sqrt[3]{x^{2} \left(x - 1\right)}}\, dx"," ",0,"Integral(1/(x**2*(x**2*(x - 1))**(1/3)), x)","F",0
259,1,41,0,0.996279," ","integrate(x**7*(x**4+1)**(2/3),x)","\frac{3 x^{8} \left(x^{4} + 1\right)^{\frac{2}{3}}}{32} + \frac{3 x^{4} \left(x^{4} + 1\right)^{\frac{2}{3}}}{80} - \frac{9 \left(x^{4} + 1\right)^{\frac{2}{3}}}{160}"," ",0,"3*x**8*(x**4 + 1)**(2/3)/32 + 3*x**4*(x**4 + 1)**(2/3)/80 - 9*(x**4 + 1)**(2/3)/160","A",0
260,0,0,0,0.000000," ","integrate(1/x**5/(x**4-x)**(1/2),x)","\int \frac{1}{x^{5} \sqrt{x \left(x - 1\right) \left(x^{2} + x + 1\right)}}\, dx"," ",0,"Integral(1/(x**5*sqrt(x*(x - 1)*(x**2 + x + 1))), x)","F",0
261,0,0,0,0.000000," ","integrate((x**3+1)/x**6/(x**4-x)**(1/4),x)","\int \frac{\left(x + 1\right) \left(x^{2} - x + 1\right)}{x^{6} \sqrt[4]{x \left(x - 1\right) \left(x^{2} + x + 1\right)}}\, dx"," ",0,"Integral((x + 1)*(x**2 - x + 1)/(x**6*(x*(x - 1)*(x**2 + x + 1))**(1/4)), x)","F",0
262,0,0,0,0.000000," ","integrate((x**2+1)/(x**2-1)/(x**4-x**2)**(1/3),x)","\int \frac{x^{2} + 1}{\sqrt[3]{x^{2} \left(x - 1\right) \left(x + 1\right)} \left(x - 1\right) \left(x + 1\right)}\, dx"," ",0,"Integral((x**2 + 1)/((x**2*(x - 1)*(x + 1))**(1/3)*(x - 1)*(x + 1)), x)","F",0
263,0,0,0,0.000000," ","integrate(1/(x**2-1)/(x**4-x**2)**(1/4),x)","\int \frac{1}{\sqrt[4]{x^{2} \left(x - 1\right) \left(x + 1\right)} \left(x - 1\right) \left(x + 1\right)}\, dx"," ",0,"Integral(1/((x**2*(x - 1)*(x + 1))**(1/4)*(x - 1)*(x + 1)), x)","F",0
264,0,0,0,0.000000," ","integrate(1/x**4/(x**4+x**2)**(1/4),x)","\int \frac{1}{x^{4} \sqrt[4]{x^{2} \left(x^{2} + 1\right)}}\, dx"," ",0,"Integral(1/(x**4*(x**2*(x**2 + 1))**(1/4)), x)","F",0
265,0,0,0,0.000000," ","integrate((-1+2*x)/(x**4-2*x**3+x**2-3)**(1/2),x)","\int \frac{2 x - 1}{\sqrt{x^{4} - 2 x^{3} + x^{2} - 3}}\, dx"," ",0,"Integral((2*x - 1)/sqrt(x**4 - 2*x**3 + x**2 - 3), x)","F",0
266,0,0,0,0.000000," ","integrate((-1+2*x)/(x**4-2*x**3+x**2+4)**(1/2),x)","\int \frac{2 x - 1}{\sqrt{x^{4} - 2 x^{3} + x^{2} + 4}}\, dx"," ",0,"Integral((2*x - 1)/sqrt(x**4 - 2*x**3 + x**2 + 4), x)","F",0
267,0,0,0,0.000000," ","integrate((-1+2*x)/(x**4-2*x**3+x**2+13)**(1/2),x)","\int \frac{2 x - 1}{\sqrt{x^{4} - 2 x^{3} + x^{2} + 13}}\, dx"," ",0,"Integral((2*x - 1)/sqrt(x**4 - 2*x**3 + x**2 + 13), x)","F",0
268,0,0,0,0.000000," ","integrate(1/x**2/(x**4-x**3)**(1/4),x)","\int \frac{1}{x^{2} \sqrt[4]{x^{3} \left(x - 1\right)}}\, dx"," ",0,"Integral(1/(x**2*(x**3*(x - 1))**(1/4)), x)","F",0
269,1,233,0,2.110801," ","integrate((x**4-1)/x**8/(2*x**4-1)**(1/4),x)","\begin{cases} - \frac{2^{\frac{3}{4}} \left(-1 + \frac{1}{2 x^{4}}\right)^{\frac{3}{4}} e^{\frac{3 i \pi}{4}} \Gamma\left(- \frac{3}{4}\right)}{4 \Gamma\left(\frac{1}{4}\right)} & \text{for}\: \frac{1}{2 \left|{x^{4}}\right|} > 1 \\- \frac{2^{\frac{3}{4}} \left(1 - \frac{1}{2 x^{4}}\right)^{\frac{3}{4}} \Gamma\left(- \frac{3}{4}\right)}{4 \Gamma\left(\frac{1}{4}\right)} & \text{otherwise} \end{cases} - \begin{cases} - \frac{2^{\frac{3}{4}} \left(-1 + \frac{1}{2 x^{4}}\right)^{\frac{3}{4}} e^{- \frac{i \pi}{4}} \Gamma\left(- \frac{7}{4}\right)}{2 \Gamma\left(\frac{1}{4}\right)} - \frac{3 \cdot 2^{\frac{3}{4}} \left(-1 + \frac{1}{2 x^{4}}\right)^{\frac{3}{4}} e^{- \frac{i \pi}{4}} \Gamma\left(- \frac{7}{4}\right)}{16 x^{4} \Gamma\left(\frac{1}{4}\right)} & \text{for}\: \frac{1}{2 \left|{x^{4}}\right|} > 1 \\\frac{2^{\frac{3}{4}} \left(1 - \frac{1}{2 x^{4}}\right)^{\frac{3}{4}} \Gamma\left(- \frac{7}{4}\right)}{2 \Gamma\left(\frac{1}{4}\right)} + \frac{3 \cdot 2^{\frac{3}{4}} \left(1 - \frac{1}{2 x^{4}}\right)^{\frac{3}{4}} \Gamma\left(- \frac{7}{4}\right)}{16 x^{4} \Gamma\left(\frac{1}{4}\right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-2**(3/4)*(-1 + 1/(2*x**4))**(3/4)*exp(3*I*pi/4)*gamma(-3/4)/(4*gamma(1/4)), 1/(2*Abs(x**4)) > 1), (-2**(3/4)*(1 - 1/(2*x**4))**(3/4)*gamma(-3/4)/(4*gamma(1/4)), True)) - Piecewise((-2**(3/4)*(-1 + 1/(2*x**4))**(3/4)*exp(-I*pi/4)*gamma(-7/4)/(2*gamma(1/4)) - 3*2**(3/4)*(-1 + 1/(2*x**4))**(3/4)*exp(-I*pi/4)*gamma(-7/4)/(16*x**4*gamma(1/4)), 1/(2*Abs(x**4)) > 1), (2**(3/4)*(1 - 1/(2*x**4))**(3/4)*gamma(-7/4)/(2*gamma(1/4)) + 3*2**(3/4)*(1 - 1/(2*x**4))**(3/4)*gamma(-7/4)/(16*x**4*gamma(1/4)), True))","C",0
270,0,0,0,0.000000," ","integrate((x**2+1)/(x**2-1)/(x**5-x**3)**(1/4),x)","\int \frac{x^{2} + 1}{\sqrt[4]{x^{3} \left(x - 1\right) \left(x + 1\right)} \left(x - 1\right) \left(x + 1\right)}\, dx"," ",0,"Integral((x**2 + 1)/((x**3*(x - 1)*(x + 1))**(1/4)*(x - 1)*(x + 1)), x)","F",0
271,0,0,0,0.000000," ","integrate((3*x**4+1)/(x**4-1)/(x**6-x**2)**(1/3),x)","\int \frac{3 x^{4} + 1}{\sqrt[3]{x^{2} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((3*x**4 + 1)/((x**2*(x - 1)*(x + 1)*(x**2 + 1))**(1/3)*(x - 1)*(x + 1)*(x**2 + 1)), x)","F",0
272,0,0,0,0.000000," ","integrate((x**4+1)/(x**4-1)/(x**6-x**2)**(1/4),x)","\int \frac{x^{4} + 1}{\sqrt[4]{x^{2} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x**4 + 1)/((x**2*(x - 1)*(x + 1)*(x**2 + 1))**(1/4)*(x - 1)*(x + 1)*(x**2 + 1)), x)","F",0
273,0,0,0,0.000000," ","integrate(1/x**7/(x**6+x**2)**(1/3),x)","\int \frac{1}{x^{7} \sqrt[3]{x^{2} \left(x^{4} + 1\right)}}\, dx"," ",0,"Integral(1/(x**7*(x**2*(x**4 + 1))**(1/3)), x)","F",0
274,1,289,0,0.868770," ","integrate((x**3-1)**(1/3)/x**8,x)","\begin{cases} \frac{\sqrt[3]{-1 + \frac{1}{x^{3}}} e^{\frac{i \pi}{3}} \Gamma\left(- \frac{7}{3}\right)}{3 \Gamma\left(- \frac{1}{3}\right)} + \frac{\sqrt[3]{-1 + \frac{1}{x^{3}}} e^{\frac{i \pi}{3}} \Gamma\left(- \frac{7}{3}\right)}{9 x^{3} \Gamma\left(- \frac{1}{3}\right)} - \frac{4 \sqrt[3]{-1 + \frac{1}{x^{3}}} e^{\frac{i \pi}{3}} \Gamma\left(- \frac{7}{3}\right)}{9 x^{6} \Gamma\left(- \frac{1}{3}\right)} & \text{for}\: \frac{1}{\left|{x^{3}}\right|} > 1 \\\frac{3 x^{6} \sqrt[3]{1 - \frac{1}{x^{3}}} \Gamma\left(- \frac{7}{3}\right)}{9 x^{6} \Gamma\left(- \frac{1}{3}\right) - 9 x^{3} \Gamma\left(- \frac{1}{3}\right)} - \frac{2 x^{3} \sqrt[3]{1 - \frac{1}{x^{3}}} \Gamma\left(- \frac{7}{3}\right)}{9 x^{6} \Gamma\left(- \frac{1}{3}\right) - 9 x^{3} \Gamma\left(- \frac{1}{3}\right)} - \frac{5 \sqrt[3]{1 - \frac{1}{x^{3}}} \Gamma\left(- \frac{7}{3}\right)}{9 x^{6} \Gamma\left(- \frac{1}{3}\right) - 9 x^{3} \Gamma\left(- \frac{1}{3}\right)} + \frac{4 \sqrt[3]{1 - \frac{1}{x^{3}}} \Gamma\left(- \frac{7}{3}\right)}{x^{3} \left(9 x^{6} \Gamma\left(- \frac{1}{3}\right) - 9 x^{3} \Gamma\left(- \frac{1}{3}\right)\right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-1 + x**(-3))**(1/3)*exp(I*pi/3)*gamma(-7/3)/(3*gamma(-1/3)) + (-1 + x**(-3))**(1/3)*exp(I*pi/3)*gamma(-7/3)/(9*x**3*gamma(-1/3)) - 4*(-1 + x**(-3))**(1/3)*exp(I*pi/3)*gamma(-7/3)/(9*x**6*gamma(-1/3)), 1/Abs(x**3) > 1), (3*x**6*(1 - 1/x**3)**(1/3)*gamma(-7/3)/(9*x**6*gamma(-1/3) - 9*x**3*gamma(-1/3)) - 2*x**3*(1 - 1/x**3)**(1/3)*gamma(-7/3)/(9*x**6*gamma(-1/3) - 9*x**3*gamma(-1/3)) - 5*(1 - 1/x**3)**(1/3)*gamma(-7/3)/(9*x**6*gamma(-1/3) - 9*x**3*gamma(-1/3)) + 4*(1 - 1/x**3)**(1/3)*gamma(-7/3)/(x**3*(9*x**6*gamma(-1/3) - 9*x**3*gamma(-1/3))), True))","B",0
275,0,0,0,0.000000," ","integrate((a*x**2+b)/(a*x**2-b)/(a*x**3-b*x)**(1/2),x)","\int \frac{a x^{2} + b}{\sqrt{x \left(a x^{2} - b\right)} \left(a x^{2} - b\right)}\, dx"," ",0,"Integral((a*x**2 + b)/(sqrt(x*(a*x**2 - b))*(a*x**2 - b)), x)","F",0
276,0,0,0,0.000000," ","integrate((a*x**3-2*b)/(a*x**3+b)**(1/2)/(a*x**3-c*x**2+b),x)","\int \frac{a x^{3} - 2 b}{\sqrt{a x^{3} + b} \left(a x^{3} + b - c x^{2}\right)}\, dx"," ",0,"Integral((a*x**3 - 2*b)/(sqrt(a*x**3 + b)*(a*x**3 + b - c*x**2)), x)","F",0
277,0,0,0,0.000000," ","integrate((a*x**3-2*b)/(a*x**3+b)**(1/2)/(a*x**3+c*x**2+b),x)","\int \frac{a x^{3} - 2 b}{\sqrt{a x^{3} + b} \left(a x^{3} + b + c x^{2}\right)}\, dx"," ",0,"Integral((a*x**3 - 2*b)/(sqrt(a*x**3 + b)*(a*x**3 + b + c*x**2)), x)","F",0
278,0,0,0,0.000000," ","integrate((x**2+1)/(x**2-1)/(x**2+2)/(x**4-3)**(1/2),x)","\int \frac{x^{2} + 1}{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 2\right) \sqrt{x^{4} - 3}}\, dx"," ",0,"Integral((x**2 + 1)/((x - 1)*(x + 1)*(x**2 + 2)*sqrt(x**4 - 3)), x)","F",0
279,1,136,0,3.371377," ","integrate((x**4-4)*(x**4+1)**(3/4)/x**12,x)","\frac{\left(1 + \frac{1}{x^{4}}\right)^{\frac{3}{4}} \Gamma\left(- \frac{7}{4}\right)}{4 \Gamma\left(- \frac{3}{4}\right)} - \frac{\left(x^{4} + 1\right)^{\frac{3}{4}} \Gamma\left(- \frac{11}{4}\right)}{x^{3} \Gamma\left(- \frac{3}{4}\right)} + \frac{\left(1 + \frac{1}{x^{4}}\right)^{\frac{3}{4}} \Gamma\left(- \frac{7}{4}\right)}{4 x^{4} \Gamma\left(- \frac{3}{4}\right)} + \frac{3 \left(x^{4} + 1\right)^{\frac{3}{4}} \Gamma\left(- \frac{11}{4}\right)}{4 x^{7} \Gamma\left(- \frac{3}{4}\right)} + \frac{7 \left(x^{4} + 1\right)^{\frac{3}{4}} \Gamma\left(- \frac{11}{4}\right)}{4 x^{11} \Gamma\left(- \frac{3}{4}\right)}"," ",0,"(1 + x**(-4))**(3/4)*gamma(-7/4)/(4*gamma(-3/4)) - (x**4 + 1)**(3/4)*gamma(-11/4)/(x**3*gamma(-3/4)) + (1 + x**(-4))**(3/4)*gamma(-7/4)/(4*x**4*gamma(-3/4)) + 3*(x**4 + 1)**(3/4)*gamma(-11/4)/(4*x**7*gamma(-3/4)) + 7*(x**4 + 1)**(3/4)*gamma(-11/4)/(4*x**11*gamma(-3/4))","B",0
280,0,0,0,0.000000," ","integrate((x**4-1)**(1/2)*(x**4+1)/x**2/(x**4+x**2-1),x)","\int \frac{\sqrt{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)} \left(x^{4} + 1\right)}{x^{2} \left(x^{4} + x^{2} - 1\right)}\, dx"," ",0,"Integral(sqrt((x - 1)*(x + 1)*(x**2 + 1))*(x**4 + 1)/(x**2*(x**4 + x**2 - 1)), x)","F",0
281,1,126,0,3.105937," ","integrate((x**4-1)*(x**4+x**2+1)/x**4/(x**4+1)**(1/2),x)","\frac{x^{5} \Gamma\left(\frac{5}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{2}, \frac{5}{4} \\ \frac{9}{4} \end{matrix}\middle| {x^{4} e^{i \pi}} \right)}}{4 \Gamma\left(\frac{9}{4}\right)} + \frac{x^{3} \Gamma\left(\frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{2}, \frac{3}{4} \\ \frac{7}{4} \end{matrix}\middle| {x^{4} e^{i \pi}} \right)}}{4 \Gamma\left(\frac{7}{4}\right)} - \frac{\Gamma\left(- \frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{4}, \frac{1}{2} \\ \frac{3}{4} \end{matrix}\middle| {x^{4} e^{i \pi}} \right)}}{4 x \Gamma\left(\frac{3}{4}\right)} - \frac{\Gamma\left(- \frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, \frac{1}{2} \\ \frac{1}{4} \end{matrix}\middle| {x^{4} e^{i \pi}} \right)}}{4 x^{3} \Gamma\left(\frac{1}{4}\right)}"," ",0,"x**5*gamma(5/4)*hyper((1/2, 5/4), (9/4,), x**4*exp_polar(I*pi))/(4*gamma(9/4)) + x**3*gamma(3/4)*hyper((1/2, 3/4), (7/4,), x**4*exp_polar(I*pi))/(4*gamma(7/4)) - gamma(-1/4)*hyper((-1/4, 1/2), (3/4,), x**4*exp_polar(I*pi))/(4*x*gamma(3/4)) - gamma(-3/4)*hyper((-3/4, 1/2), (1/4,), x**4*exp_polar(I*pi))/(4*x**3*gamma(1/4))","C",0
282,1,178,0,4.045129," ","integrate((x**3-4)*(x**4+x**3-1)/x**6/(x**3-1)**(3/4),x)","\frac{x^{2} e^{- \frac{3 i \pi}{4}} \Gamma\left(\frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{2}{3}, \frac{3}{4} \\ \frac{5}{3} \end{matrix}\middle| {x^{3}} \right)}}{3 \Gamma\left(\frac{5}{3}\right)} + \frac{x e^{- \frac{3 i \pi}{4}} \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{3}{4} \\ \frac{4}{3} \end{matrix}\middle| {x^{3}} \right)}}{3 \Gamma\left(\frac{4}{3}\right)} + \frac{4 e^{\frac{i \pi}{4}} \Gamma\left(- \frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, \frac{3}{4} \\ \frac{2}{3} \end{matrix}\middle| {x^{3}} \right)}}{3 x \Gamma\left(\frac{2}{3}\right)} + \frac{5 e^{\frac{i \pi}{4}} \Gamma\left(- \frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, \frac{3}{4} \\ \frac{1}{3} \end{matrix}\middle| {x^{3}} \right)}}{3 x^{2} \Gamma\left(\frac{1}{3}\right)} - \frac{4 e^{\frac{i \pi}{4}} \Gamma\left(- \frac{5}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{5}{3}, \frac{3}{4} \\ - \frac{2}{3} \end{matrix}\middle| {x^{3}} \right)}}{3 x^{5} \Gamma\left(- \frac{2}{3}\right)}"," ",0,"x**2*exp(-3*I*pi/4)*gamma(2/3)*hyper((2/3, 3/4), (5/3,), x**3)/(3*gamma(5/3)) + x*exp(-3*I*pi/4)*gamma(1/3)*hyper((1/3, 3/4), (4/3,), x**3)/(3*gamma(4/3)) + 4*exp(I*pi/4)*gamma(-1/3)*hyper((-1/3, 3/4), (2/3,), x**3)/(3*x*gamma(2/3)) + 5*exp(I*pi/4)*gamma(-2/3)*hyper((-2/3, 3/4), (1/3,), x**3)/(3*x**2*gamma(1/3)) - 4*exp(I*pi/4)*gamma(-5/3)*hyper((-5/3, 3/4), (-2/3,), x**3)/(3*x**5*gamma(-2/3))","C",0
283,-1,0,0,0.000000," ","integrate((3*x**4+1)/(x**4-a*x-1)/(x**5-x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
284,-1,0,0,0.000000," ","integrate((3*x**4+1)/(a*x**4-a-x)/(x**5-x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
285,1,151,0,4.564884," ","integrate((x**5+4)*(x**5+x**4-1)/x**6/(x**5-1)**(3/4),x)","\frac{x^{4} e^{- \frac{3 i \pi}{4}} \Gamma\left(\frac{4}{5}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{4}{5} \\ \frac{9}{5} \end{matrix}\middle| {x^{5}} \right)}}{5 \Gamma\left(\frac{9}{5}\right)} + \frac{4 \sqrt[4]{x^{5} - 1}}{5} - \frac{4 e^{\frac{i \pi}{4}} \Gamma\left(- \frac{1}{5}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{5}, \frac{3}{4} \\ \frac{4}{5} \end{matrix}\middle| {x^{5}} \right)}}{5 x \Gamma\left(\frac{4}{5}\right)} - \frac{3 \Gamma\left(\frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{3}{4} \\ \frac{7}{4} \end{matrix}\middle| {\frac{e^{2 i \pi}}{x^{5}}} \right)}}{5 x^{\frac{15}{4}} \Gamma\left(\frac{7}{4}\right)} + \frac{4 \Gamma\left(\frac{7}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{7}{4} \\ \frac{11}{4} \end{matrix}\middle| {\frac{e^{2 i \pi}}{x^{5}}} \right)}}{5 x^{\frac{35}{4}} \Gamma\left(\frac{11}{4}\right)}"," ",0,"x**4*exp(-3*I*pi/4)*gamma(4/5)*hyper((3/4, 4/5), (9/5,), x**5)/(5*gamma(9/5)) + 4*(x**5 - 1)**(1/4)/5 - 4*exp(I*pi/4)*gamma(-1/5)*hyper((-1/5, 3/4), (4/5,), x**5)/(5*x*gamma(4/5)) - 3*gamma(3/4)*hyper((3/4, 3/4), (7/4,), exp_polar(2*I*pi)/x**5)/(5*x**(15/4)*gamma(7/4)) + 4*gamma(7/4)*hyper((3/4, 7/4), (11/4,), exp_polar(2*I*pi)/x**5)/(5*x**(35/4)*gamma(11/4))","C",0
286,1,143,0,4.413024," ","integrate((x**5-4)*(x**5+x**4+1)/x**6/(x**5+1)**(3/4),x)","\frac{x^{4} \Gamma\left(\frac{4}{5}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{4}{5} \\ \frac{9}{5} \end{matrix}\middle| {x^{5} e^{i \pi}} \right)}}{5 \Gamma\left(\frac{9}{5}\right)} + \frac{4 \sqrt[4]{x^{5} + 1}}{5} - \frac{4 \Gamma\left(- \frac{1}{5}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{5}, \frac{3}{4} \\ \frac{4}{5} \end{matrix}\middle| {x^{5} e^{i \pi}} \right)}}{5 x \Gamma\left(\frac{4}{5}\right)} + \frac{3 \Gamma\left(\frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{3}{4} \\ \frac{7}{4} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{5}}} \right)}}{5 x^{\frac{15}{4}} \Gamma\left(\frac{7}{4}\right)} + \frac{4 \Gamma\left(\frac{7}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{7}{4} \\ \frac{11}{4} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{5}}} \right)}}{5 x^{\frac{35}{4}} \Gamma\left(\frac{11}{4}\right)}"," ",0,"x**4*gamma(4/5)*hyper((3/4, 4/5), (9/5,), x**5*exp_polar(I*pi))/(5*gamma(9/5)) + 4*(x**5 + 1)**(1/4)/5 - 4*gamma(-1/5)*hyper((-1/5, 3/4), (4/5,), x**5*exp_polar(I*pi))/(5*x*gamma(4/5)) + 3*gamma(3/4)*hyper((3/4, 3/4), (7/4,), exp_polar(I*pi)/x**5)/(5*x**(15/4)*gamma(7/4)) + 4*gamma(7/4)*hyper((3/4, 7/4), (11/4,), exp_polar(I*pi)/x**5)/(5*x**(35/4)*gamma(11/4))","C",0
287,1,92,0,1.367039," ","integrate((x**6-1)**(1/2)/x**16,x)","\begin{cases} \frac{2 \sqrt{x^{6} - 1}}{45 x^{3}} + \frac{\sqrt{x^{6} - 1}}{45 x^{9}} - \frac{\sqrt{x^{6} - 1}}{15 x^{15}} & \text{for}\: \left|{x^{6}}\right| > 1 \\\frac{2 i \sqrt{1 - x^{6}}}{45 x^{3}} + \frac{i \sqrt{1 - x^{6}}}{45 x^{9}} - \frac{i \sqrt{1 - x^{6}}}{15 x^{15}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*sqrt(x**6 - 1)/(45*x**3) + sqrt(x**6 - 1)/(45*x**9) - sqrt(x**6 - 1)/(15*x**15), Abs(x**6) > 1), (2*I*sqrt(1 - x**6)/(45*x**3) + I*sqrt(1 - x**6)/(45*x**9) - I*sqrt(1 - x**6)/(15*x**15), True))","A",0
288,0,0,0,0.000000," ","integrate((2*x**4-2*x**2-1)/(2*x**4+1)/(x**6+1)**(1/2),x)","\int \frac{2 x^{4} - 2 x^{2} - 1}{\sqrt{\left(x^{2} + 1\right) \left(x^{4} - x^{2} + 1\right)} \left(2 x^{4} + 1\right)}\, dx"," ",0,"Integral((2*x**4 - 2*x**2 - 1)/(sqrt((x**2 + 1)*(x**4 - x**2 + 1))*(2*x**4 + 1)), x)","F",0
289,0,0,0,0.000000," ","integrate((4*x**5+1)/(x**5-a*x-1)/(x**6-x)**(1/2),x)","\int \frac{4 x^{5} + 1}{\sqrt{x \left(x - 1\right) \left(x^{4} + x^{3} + x^{2} + x + 1\right)} \left(- a x + x^{5} - 1\right)}\, dx"," ",0,"Integral((4*x**5 + 1)/(sqrt(x*(x - 1)*(x**4 + x**3 + x**2 + x + 1))*(-a*x + x**5 - 1)), x)","F",0
290,0,0,0,0.000000," ","integrate((4*x**5+1)/(a*x**5-a-x)/(x**6-x)**(1/2),x)","\int \frac{4 x^{5} + 1}{\sqrt{x \left(x - 1\right) \left(x^{4} + x^{3} + x^{2} + x + 1\right)} \left(a x^{5} - a - x\right)}\, dx"," ",0,"Integral((4*x**5 + 1)/(sqrt(x*(x - 1)*(x**4 + x**3 + x**2 + x + 1))*(a*x**5 - a - x)), x)","F",0
291,1,168,0,4.498186," ","integrate((x**6+2)*(x**6-x**4-1)/x**6/(x**6-1)**(3/4),x)","\frac{x^{7} e^{- \frac{3 i \pi}{4}} \Gamma\left(\frac{7}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{7}{6} \\ \frac{13}{6} \end{matrix}\middle| {x^{6}} \right)}}{6 \Gamma\left(\frac{13}{6}\right)} - \frac{x^{5} e^{- \frac{3 i \pi}{4}} \Gamma\left(\frac{5}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{5}{6} \\ \frac{11}{6} \end{matrix}\middle| {x^{6}} \right)}}{6 \Gamma\left(\frac{11}{6}\right)} + \frac{x e^{- \frac{3 i \pi}{4}} \Gamma\left(\frac{1}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{6}, \frac{3}{4} \\ \frac{7}{6} \end{matrix}\middle| {x^{6}} \right)}}{6 \Gamma\left(\frac{7}{6}\right)} + \frac{e^{\frac{i \pi}{4}} \Gamma\left(- \frac{1}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{6}, \frac{3}{4} \\ \frac{5}{6} \end{matrix}\middle| {x^{6}} \right)}}{3 x \Gamma\left(\frac{5}{6}\right)} + \frac{e^{\frac{i \pi}{4}} \Gamma\left(- \frac{5}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{5}{6}, \frac{3}{4} \\ \frac{1}{6} \end{matrix}\middle| {x^{6}} \right)}}{3 x^{5} \Gamma\left(\frac{1}{6}\right)}"," ",0,"x**7*exp(-3*I*pi/4)*gamma(7/6)*hyper((3/4, 7/6), (13/6,), x**6)/(6*gamma(13/6)) - x**5*exp(-3*I*pi/4)*gamma(5/6)*hyper((3/4, 5/6), (11/6,), x**6)/(6*gamma(11/6)) + x*exp(-3*I*pi/4)*gamma(1/6)*hyper((1/6, 3/4), (7/6,), x**6)/(6*gamma(7/6)) + exp(I*pi/4)*gamma(-1/6)*hyper((-1/6, 3/4), (5/6,), x**6)/(3*x*gamma(5/6)) + exp(I*pi/4)*gamma(-5/6)*hyper((-5/6, 3/4), (1/6,), x**6)/(3*x**5*gamma(1/6))","C",0
292,1,155,0,4.454084," ","integrate((x**6-2)*(x**6-x**4+1)/x**6/(x**6+1)**(3/4),x)","\frac{x^{7} \Gamma\left(\frac{7}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{7}{6} \\ \frac{13}{6} \end{matrix}\middle| {x^{6} e^{i \pi}} \right)}}{6 \Gamma\left(\frac{13}{6}\right)} - \frac{x^{5} \Gamma\left(\frac{5}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{5}{6} \\ \frac{11}{6} \end{matrix}\middle| {x^{6} e^{i \pi}} \right)}}{6 \Gamma\left(\frac{11}{6}\right)} - \frac{x \Gamma\left(\frac{1}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{6}, \frac{3}{4} \\ \frac{7}{6} \end{matrix}\middle| {x^{6} e^{i \pi}} \right)}}{6 \Gamma\left(\frac{7}{6}\right)} + \frac{\Gamma\left(- \frac{1}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{6}, \frac{3}{4} \\ \frac{5}{6} \end{matrix}\middle| {x^{6} e^{i \pi}} \right)}}{3 x \Gamma\left(\frac{5}{6}\right)} - \frac{\Gamma\left(- \frac{5}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{5}{6}, \frac{3}{4} \\ \frac{1}{6} \end{matrix}\middle| {x^{6} e^{i \pi}} \right)}}{3 x^{5} \Gamma\left(\frac{1}{6}\right)}"," ",0,"x**7*gamma(7/6)*hyper((3/4, 7/6), (13/6,), x**6*exp_polar(I*pi))/(6*gamma(13/6)) - x**5*gamma(5/6)*hyper((3/4, 5/6), (11/6,), x**6*exp_polar(I*pi))/(6*gamma(11/6)) - x*gamma(1/6)*hyper((1/6, 3/4), (7/6,), x**6*exp_polar(I*pi))/(6*gamma(7/6)) + gamma(-1/6)*hyper((-1/6, 3/4), (5/6,), x**6*exp_polar(I*pi))/(3*x*gamma(5/6)) - gamma(-5/6)*hyper((-5/6, 3/4), (1/6,), x**6*exp_polar(I*pi))/(3*x**5*gamma(1/6))","C",0
293,-1,0,0,0.000000," ","integrate((x**6-1)**(1/2)*(2*x**6+1)/x**2/(x**6+x**2-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
294,0,0,0,0.000000," ","integrate((-2*x**7-x**5+x**3-1)**(2/3)*(2*x**7+x**5-x**3+1)*(8*x**7+2*x**5-3)/x**9,x)","\int \frac{\left(8 x^{7} + 2 x^{5} - 3\right) \left(- 2 x^{7} - x^{5} + x^{3} - 1\right)^{\frac{2}{3}} \left(2 x^{7} + x^{5} - x^{3} + 1\right)}{x^{9}}\, dx"," ",0,"Integral((8*x**7 + 2*x**5 - 3)*(-2*x**7 - x**5 + x**3 - 1)**(2/3)*(2*x**7 + x**5 - x**3 + 1)/x**9, x)","F",0
295,0,0,0,0.000000," ","integrate(x**4*(4*x**5+9)/(x**6+x)**(1/2)/(x**9-a*x**5-a),x)","\int \frac{x^{4} \left(4 x^{5} + 9\right)}{\sqrt{x \left(x + 1\right) \left(x^{4} - x^{3} + x^{2} - x + 1\right)} \left(- a x^{5} - a + x^{9}\right)}\, dx"," ",0,"Integral(x**4*(4*x**5 + 9)/(sqrt(x*(x + 1)*(x**4 - x**3 + x**2 - x + 1))*(-a*x**5 - a + x**9)), x)","F",0
296,0,0,0,0.000000," ","integrate(x**4*(5*x**4+9)/(x**5+x)**(1/2)/(a*x**9-x**4-1),x)","\int \frac{x^{4} \left(5 x^{4} + 9\right)}{\sqrt{x \left(x^{4} + 1\right)} \left(a x^{9} - x^{4} - 1\right)}\, dx"," ",0,"Integral(x**4*(5*x**4 + 9)/(sqrt(x*(x**4 + 1))*(a*x**9 - x**4 - 1)), x)","F",0
297,0,0,0,0.000000," ","integrate(x**4*(4*x**5+9)/(x**6+x)**(1/2)/(a*x**9-x**5-1),x)","\int \frac{x^{4} \left(4 x^{5} + 9\right)}{\sqrt{x \left(x + 1\right) \left(x^{4} - x^{3} + x^{2} - x + 1\right)} \left(a x^{9} - x^{5} - 1\right)}\, dx"," ",0,"Integral(x**4*(4*x**5 + 9)/(sqrt(x*(x + 1)*(x**4 - x**3 + x**2 - x + 1))*(a*x**9 - x**5 - 1)), x)","F",0
298,1,42,0,0.294009," ","integrate(x**5*(-2*x**3+1)**(1/2),x)","\frac{2 x^{6} \sqrt{1 - 2 x^{3}}}{15} - \frac{x^{3} \sqrt{1 - 2 x^{3}}}{45} - \frac{\sqrt{1 - 2 x^{3}}}{45}"," ",0,"2*x**6*sqrt(1 - 2*x**3)/15 - x**3*sqrt(1 - 2*x**3)/45 - sqrt(1 - 2*x**3)/45","B",0
299,0,0,0,0.000000," ","integrate((2+x)/(-1+x)/(x**3+3*x-1)**(1/2),x)","\int \frac{x + 2}{\left(x - 1\right) \sqrt{x^{3} + 3 x - 1}}\, dx"," ",0,"Integral((x + 2)/((x - 1)*sqrt(x**3 + 3*x - 1)), x)","F",0
300,0,0,0,0.000000," ","integrate((-1+2*x)/(1+x)/(x**3-x**2-x)**(1/2),x)","\int \frac{2 x - 1}{\sqrt{x \left(x^{2} - x - 1\right)} \left(x + 1\right)}\, dx"," ",0,"Integral((2*x - 1)/(sqrt(x*(x**2 - x - 1))*(x + 1)), x)","F",0
301,1,46,0,0.603023," ","integrate(x**5/(a*x**3+b)**(1/2),x)","\begin{cases} \frac{2 x^{3} \sqrt{a x^{3} + b}}{9 a} - \frac{4 b \sqrt{a x^{3} + b}}{9 a^{2}} & \text{for}\: a \neq 0 \\\frac{x^{6}}{6 \sqrt{b}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*x**3*sqrt(a*x**3 + b)/(9*a) - 4*b*sqrt(a*x**3 + b)/(9*a**2), Ne(a, 0)), (x**6/(6*sqrt(b)), True))","A",0
302,0,0,0,0.000000," ","integrate(1/x**4/(x**4-x**2)**(1/4),x)","\int \frac{1}{x^{4} \sqrt[4]{x^{2} \left(x - 1\right) \left(x + 1\right)}}\, dx"," ",0,"Integral(1/(x**4*(x**2*(x - 1)*(x + 1))**(1/4)), x)","F",0
303,1,22,0,0.874248," ","integrate(1/x/(a*x**4+b)**(1/2),x)","- \frac{\operatorname{asinh}{\left(\frac{\sqrt{b}}{\sqrt{a} x^{2}} \right)}}{2 \sqrt{b}}"," ",0,"-asinh(sqrt(b)/(sqrt(a)*x**2))/(2*sqrt(b))","A",0
304,0,0,0,0.000000," ","integrate(1/x**7/(x**6-x**2)**(1/3),x)","\int \frac{1}{x^{7} \sqrt[3]{x^{2} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}}\, dx"," ",0,"Integral(1/(x**7*(x**2*(x - 1)*(x + 1)*(x**2 + 1))**(1/3)), x)","F",0
305,1,85,0,1.039037," ","integrate((x**3-1)**(1/2)/x,x)","\begin{cases} \frac{2 \sqrt{x^{3} - 1}}{3} - \frac{2 i \log{\left(x^{\frac{3}{2}} \right)}}{3} + \frac{i \log{\left(x^{3} \right)}}{3} + \frac{2 \operatorname{asin}{\left(\frac{1}{x^{\frac{3}{2}}} \right)}}{3} & \text{for}\: \left|{x^{3}}\right| > 1 \\\frac{2 i \sqrt{1 - x^{3}}}{3} + \frac{i \log{\left(x^{3} \right)}}{3} - \frac{2 i \log{\left(\sqrt{1 - x^{3}} + 1 \right)}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*sqrt(x**3 - 1)/3 - 2*I*log(x**(3/2))/3 + I*log(x**3)/3 + 2*asin(x**(-3/2))/3, Abs(x**3) > 1), (2*I*sqrt(1 - x**3)/3 + I*log(x**3)/3 - 2*I*log(sqrt(1 - x**3) + 1)/3, True))","C",0
306,1,134,0,2.138340," ","integrate((x**3-1)*(x**3+1)**(1/3)/x**8,x)","\frac{\sqrt[3]{1 + \frac{1}{x^{3}}} \Gamma\left(- \frac{4}{3}\right)}{3 \Gamma\left(- \frac{1}{3}\right)} - \frac{\sqrt[3]{x^{3} + 1} \Gamma\left(- \frac{7}{3}\right)}{3 x \Gamma\left(- \frac{1}{3}\right)} + \frac{\sqrt[3]{1 + \frac{1}{x^{3}}} \Gamma\left(- \frac{4}{3}\right)}{3 x^{3} \Gamma\left(- \frac{1}{3}\right)} + \frac{\sqrt[3]{x^{3} + 1} \Gamma\left(- \frac{7}{3}\right)}{9 x^{4} \Gamma\left(- \frac{1}{3}\right)} + \frac{4 \sqrt[3]{x^{3} + 1} \Gamma\left(- \frac{7}{3}\right)}{9 x^{7} \Gamma\left(- \frac{1}{3}\right)}"," ",0,"(1 + x**(-3))**(1/3)*gamma(-4/3)/(3*gamma(-1/3)) - (x**3 + 1)**(1/3)*gamma(-7/3)/(3*x*gamma(-1/3)) + (1 + x**(-3))**(1/3)*gamma(-4/3)/(3*x**3*gamma(-1/3)) + (x**3 + 1)**(1/3)*gamma(-7/3)/(9*x**4*gamma(-1/3)) + 4*(x**3 + 1)**(1/3)*gamma(-7/3)/(9*x**7*gamma(-1/3))","B",0
307,1,48,0,0.948998," ","integrate((x**3+1)**(1/2)/x,x)","\frac{2 x^{\frac{3}{2}}}{3 \sqrt{1 + \frac{1}{x^{3}}}} - \frac{2 \operatorname{asinh}{\left(\frac{1}{x^{\frac{3}{2}}} \right)}}{3} + \frac{2}{3 x^{\frac{3}{2}} \sqrt{1 + \frac{1}{x^{3}}}}"," ",0,"2*x**(3/2)/(3*sqrt(1 + x**(-3))) - 2*asinh(x**(-3/2))/3 + 2/(3*x**(3/2)*sqrt(1 + x**(-3)))","A",0
308,1,416,0,2.227074," ","integrate((x**3-1)**(1/3)*(x**3+1)/x**8,x)","\begin{cases} \frac{\sqrt[3]{-1 + \frac{1}{x^{3}}} e^{- \frac{2 i \pi}{3}} \Gamma\left(- \frac{4}{3}\right)}{3 \Gamma\left(- \frac{1}{3}\right)} - \frac{\sqrt[3]{-1 + \frac{1}{x^{3}}} e^{- \frac{2 i \pi}{3}} \Gamma\left(- \frac{4}{3}\right)}{3 x^{3} \Gamma\left(- \frac{1}{3}\right)} & \text{for}\: \frac{1}{\left|{x^{3}}\right|} > 1 \\- \frac{\sqrt[3]{1 - \frac{1}{x^{3}}} \Gamma\left(- \frac{4}{3}\right)}{3 \Gamma\left(- \frac{1}{3}\right)} + \frac{\sqrt[3]{1 - \frac{1}{x^{3}}} \Gamma\left(- \frac{4}{3}\right)}{3 x^{3} \Gamma\left(- \frac{1}{3}\right)} & \text{otherwise} \end{cases} + \begin{cases} \frac{\sqrt[3]{-1 + \frac{1}{x^{3}}} e^{\frac{i \pi}{3}} \Gamma\left(- \frac{7}{3}\right)}{3 \Gamma\left(- \frac{1}{3}\right)} + \frac{\sqrt[3]{-1 + \frac{1}{x^{3}}} e^{\frac{i \pi}{3}} \Gamma\left(- \frac{7}{3}\right)}{9 x^{3} \Gamma\left(- \frac{1}{3}\right)} - \frac{4 \sqrt[3]{-1 + \frac{1}{x^{3}}} e^{\frac{i \pi}{3}} \Gamma\left(- \frac{7}{3}\right)}{9 x^{6} \Gamma\left(- \frac{1}{3}\right)} & \text{for}\: \frac{1}{\left|{x^{3}}\right|} > 1 \\\frac{3 x^{6} \sqrt[3]{1 - \frac{1}{x^{3}}} \Gamma\left(- \frac{7}{3}\right)}{9 x^{6} \Gamma\left(- \frac{1}{3}\right) - 9 x^{3} \Gamma\left(- \frac{1}{3}\right)} - \frac{2 x^{3} \sqrt[3]{1 - \frac{1}{x^{3}}} \Gamma\left(- \frac{7}{3}\right)}{9 x^{6} \Gamma\left(- \frac{1}{3}\right) - 9 x^{3} \Gamma\left(- \frac{1}{3}\right)} + \frac{4 \sqrt[3]{1 - \frac{1}{x^{3}}} \Gamma\left(- \frac{7}{3}\right)}{9 x^{9} \Gamma\left(- \frac{1}{3}\right) - 9 x^{6} \Gamma\left(- \frac{1}{3}\right)} - \frac{5 \sqrt[3]{1 - \frac{1}{x^{3}}} \Gamma\left(- \frac{7}{3}\right)}{9 x^{6} \Gamma\left(- \frac{1}{3}\right) - 9 x^{3} \Gamma\left(- \frac{1}{3}\right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-1 + x**(-3))**(1/3)*exp(-2*I*pi/3)*gamma(-4/3)/(3*gamma(-1/3)) - (-1 + x**(-3))**(1/3)*exp(-2*I*pi/3)*gamma(-4/3)/(3*x**3*gamma(-1/3)), 1/Abs(x**3) > 1), (-(1 - 1/x**3)**(1/3)*gamma(-4/3)/(3*gamma(-1/3)) + (1 - 1/x**3)**(1/3)*gamma(-4/3)/(3*x**3*gamma(-1/3)), True)) + Piecewise(((-1 + x**(-3))**(1/3)*exp(I*pi/3)*gamma(-7/3)/(3*gamma(-1/3)) + (-1 + x**(-3))**(1/3)*exp(I*pi/3)*gamma(-7/3)/(9*x**3*gamma(-1/3)) - 4*(-1 + x**(-3))**(1/3)*exp(I*pi/3)*gamma(-7/3)/(9*x**6*gamma(-1/3)), 1/Abs(x**3) > 1), (3*x**6*(1 - 1/x**3)**(1/3)*gamma(-7/3)/(9*x**6*gamma(-1/3) - 9*x**3*gamma(-1/3)) - 2*x**3*(1 - 1/x**3)**(1/3)*gamma(-7/3)/(9*x**6*gamma(-1/3) - 9*x**3*gamma(-1/3)) + 4*(1 - 1/x**3)**(1/3)*gamma(-7/3)/(9*x**9*gamma(-1/3) - 9*x**6*gamma(-1/3)) - 5*(1 - 1/x**3)**(1/3)*gamma(-7/3)/(9*x**6*gamma(-1/3) - 9*x**3*gamma(-1/3)), True))","C",0
309,1,420,0,2.564465," ","integrate((x**3-1)**(2/3)*(x**3+2)/x**9,x)","\begin{cases} \frac{\left(-1 + \frac{1}{x^{3}}\right)^{\frac{2}{3}} e^{- \frac{i \pi}{3}} \Gamma\left(- \frac{5}{3}\right)}{3 \Gamma\left(- \frac{2}{3}\right)} - \frac{\left(-1 + \frac{1}{x^{3}}\right)^{\frac{2}{3}} e^{- \frac{i \pi}{3}} \Gamma\left(- \frac{5}{3}\right)}{3 x^{3} \Gamma\left(- \frac{2}{3}\right)} & \text{for}\: \frac{1}{\left|{x^{3}}\right|} > 1 \\- \frac{\left(1 - \frac{1}{x^{3}}\right)^{\frac{2}{3}} \Gamma\left(- \frac{5}{3}\right)}{3 \Gamma\left(- \frac{2}{3}\right)} + \frac{\left(1 - \frac{1}{x^{3}}\right)^{\frac{2}{3}} \Gamma\left(- \frac{5}{3}\right)}{3 x^{3} \Gamma\left(- \frac{2}{3}\right)} & \text{otherwise} \end{cases} + 2 \left(\begin{cases} \frac{\left(-1 + \frac{1}{x^{3}}\right)^{\frac{2}{3}} e^{\frac{2 i \pi}{3}} \Gamma\left(- \frac{8}{3}\right)}{3 \Gamma\left(- \frac{2}{3}\right)} + \frac{2 \left(-1 + \frac{1}{x^{3}}\right)^{\frac{2}{3}} e^{\frac{2 i \pi}{3}} \Gamma\left(- \frac{8}{3}\right)}{9 x^{3} \Gamma\left(- \frac{2}{3}\right)} - \frac{5 \left(-1 + \frac{1}{x^{3}}\right)^{\frac{2}{3}} e^{\frac{2 i \pi}{3}} \Gamma\left(- \frac{8}{3}\right)}{9 x^{6} \Gamma\left(- \frac{2}{3}\right)} & \text{for}\: \frac{1}{\left|{x^{3}}\right|} > 1 \\\frac{3 x^{6} \left(1 - \frac{1}{x^{3}}\right)^{\frac{2}{3}} \Gamma\left(- \frac{8}{3}\right)}{9 x^{6} \Gamma\left(- \frac{2}{3}\right) - 9 x^{3} \Gamma\left(- \frac{2}{3}\right)} - \frac{x^{3} \left(1 - \frac{1}{x^{3}}\right)^{\frac{2}{3}} \Gamma\left(- \frac{8}{3}\right)}{9 x^{6} \Gamma\left(- \frac{2}{3}\right) - 9 x^{3} \Gamma\left(- \frac{2}{3}\right)} + \frac{5 \left(1 - \frac{1}{x^{3}}\right)^{\frac{2}{3}} \Gamma\left(- \frac{8}{3}\right)}{9 x^{9} \Gamma\left(- \frac{2}{3}\right) - 9 x^{6} \Gamma\left(- \frac{2}{3}\right)} - \frac{7 \left(1 - \frac{1}{x^{3}}\right)^{\frac{2}{3}} \Gamma\left(- \frac{8}{3}\right)}{9 x^{6} \Gamma\left(- \frac{2}{3}\right) - 9 x^{3} \Gamma\left(- \frac{2}{3}\right)} & \text{otherwise} \end{cases}\right)"," ",0,"Piecewise(((-1 + x**(-3))**(2/3)*exp(-I*pi/3)*gamma(-5/3)/(3*gamma(-2/3)) - (-1 + x**(-3))**(2/3)*exp(-I*pi/3)*gamma(-5/3)/(3*x**3*gamma(-2/3)), 1/Abs(x**3) > 1), (-(1 - 1/x**3)**(2/3)*gamma(-5/3)/(3*gamma(-2/3)) + (1 - 1/x**3)**(2/3)*gamma(-5/3)/(3*x**3*gamma(-2/3)), True)) + 2*Piecewise(((-1 + x**(-3))**(2/3)*exp(2*I*pi/3)*gamma(-8/3)/(3*gamma(-2/3)) + 2*(-1 + x**(-3))**(2/3)*exp(2*I*pi/3)*gamma(-8/3)/(9*x**3*gamma(-2/3)) - 5*(-1 + x**(-3))**(2/3)*exp(2*I*pi/3)*gamma(-8/3)/(9*x**6*gamma(-2/3)), 1/Abs(x**3) > 1), (3*x**6*(1 - 1/x**3)**(2/3)*gamma(-8/3)/(9*x**6*gamma(-2/3) - 9*x**3*gamma(-2/3)) - x**3*(1 - 1/x**3)**(2/3)*gamma(-8/3)/(9*x**6*gamma(-2/3) - 9*x**3*gamma(-2/3)) + 5*(1 - 1/x**3)**(2/3)*gamma(-8/3)/(9*x**9*gamma(-2/3) - 9*x**6*gamma(-2/3)) - 7*(1 - 1/x**3)**(2/3)*gamma(-8/3)/(9*x**6*gamma(-2/3) - 9*x**3*gamma(-2/3)), True))","C",0
310,1,139,0,2.377617," ","integrate((x**3+1)**(2/3)*(x**3+2)/x**9,x)","\frac{\left(1 + \frac{1}{x^{3}}\right)^{\frac{2}{3}} \Gamma\left(- \frac{5}{3}\right)}{3 \Gamma\left(- \frac{2}{3}\right)} + \frac{2 \left(x^{3} + 1\right)^{\frac{2}{3}} \Gamma\left(- \frac{8}{3}\right)}{3 x^{2} \Gamma\left(- \frac{2}{3}\right)} + \frac{\left(1 + \frac{1}{x^{3}}\right)^{\frac{2}{3}} \Gamma\left(- \frac{5}{3}\right)}{3 x^{3} \Gamma\left(- \frac{2}{3}\right)} - \frac{4 \left(x^{3} + 1\right)^{\frac{2}{3}} \Gamma\left(- \frac{8}{3}\right)}{9 x^{5} \Gamma\left(- \frac{2}{3}\right)} - \frac{10 \left(x^{3} + 1\right)^{\frac{2}{3}} \Gamma\left(- \frac{8}{3}\right)}{9 x^{8} \Gamma\left(- \frac{2}{3}\right)}"," ",0,"(1 + x**(-3))**(2/3)*gamma(-5/3)/(3*gamma(-2/3)) + 2*(x**3 + 1)**(2/3)*gamma(-8/3)/(3*x**2*gamma(-2/3)) + (1 + x**(-3))**(2/3)*gamma(-5/3)/(3*x**3*gamma(-2/3)) - 4*(x**3 + 1)**(2/3)*gamma(-8/3)/(9*x**5*gamma(-2/3)) - 10*(x**3 + 1)**(2/3)*gamma(-8/3)/(9*x**8*gamma(-2/3))","B",0
311,0,0,0,0.000000," ","integrate(1/x**6/(x**3+x)**(1/3),x)","\int \frac{1}{x^{6} \sqrt[3]{x \left(x^{2} + 1\right)}}\, dx"," ",0,"Integral(1/(x**6*(x*(x**2 + 1))**(1/3)), x)","F",0
312,0,0,0,0.000000," ","integrate((2*x**2-x-2)/(-1+x)/x/(x**3-x**2)**(1/4),x)","\int \frac{2 x^{2} - x - 2}{x \sqrt[4]{x^{2} \left(x - 1\right)} \left(x - 1\right)}\, dx"," ",0,"Integral((2*x**2 - x - 2)/(x*(x**2*(x - 1))**(1/4)*(x - 1)), x)","F",0
313,0,0,0,0.000000," ","integrate((2+x)/(-1+x)/(x**3-x**2-x)**(1/2),x)","\int \frac{x + 2}{\sqrt{x \left(x^{2} - x - 1\right)} \left(x - 1\right)}\, dx"," ",0,"Integral((x + 2)/(sqrt(x*(x**2 - x - 1))*(x - 1)), x)","F",0
314,0,0,0,0.000000," ","integrate((x**2+3)*(x**3+x**2+1)/x**6/(x**3+x)**(1/4),x)","\int \frac{\left(x^{2} + 3\right) \left(x^{3} + x^{2} + 1\right)}{x^{6} \sqrt[4]{x \left(x^{2} + 1\right)}}\, dx"," ",0,"Integral((x**2 + 3)*(x**3 + x**2 + 1)/(x**6*(x*(x**2 + 1))**(1/4)), x)","F",0
315,1,564,0,3.045196," ","integrate((x**3-1)**(1/3)*(2*x**3-1)/x**11,x)","2 \left(\begin{cases} \frac{\sqrt[3]{-1 + \frac{1}{x^{3}}} e^{\frac{i \pi}{3}} \Gamma\left(- \frac{7}{3}\right)}{3 \Gamma\left(- \frac{1}{3}\right)} + \frac{\sqrt[3]{-1 + \frac{1}{x^{3}}} e^{\frac{i \pi}{3}} \Gamma\left(- \frac{7}{3}\right)}{9 x^{3} \Gamma\left(- \frac{1}{3}\right)} - \frac{4 \sqrt[3]{-1 + \frac{1}{x^{3}}} e^{\frac{i \pi}{3}} \Gamma\left(- \frac{7}{3}\right)}{9 x^{6} \Gamma\left(- \frac{1}{3}\right)} & \text{for}\: \frac{1}{\left|{x^{3}}\right|} > 1 \\\frac{3 x^{6} \sqrt[3]{1 - \frac{1}{x^{3}}} \Gamma\left(- \frac{7}{3}\right)}{9 x^{6} \Gamma\left(- \frac{1}{3}\right) - 9 x^{3} \Gamma\left(- \frac{1}{3}\right)} - \frac{2 x^{3} \sqrt[3]{1 - \frac{1}{x^{3}}} \Gamma\left(- \frac{7}{3}\right)}{9 x^{6} \Gamma\left(- \frac{1}{3}\right) - 9 x^{3} \Gamma\left(- \frac{1}{3}\right)} + \frac{4 \sqrt[3]{1 - \frac{1}{x^{3}}} \Gamma\left(- \frac{7}{3}\right)}{9 x^{9} \Gamma\left(- \frac{1}{3}\right) - 9 x^{6} \Gamma\left(- \frac{1}{3}\right)} - \frac{5 \sqrt[3]{1 - \frac{1}{x^{3}}} \Gamma\left(- \frac{7}{3}\right)}{9 x^{6} \Gamma\left(- \frac{1}{3}\right) - 9 x^{3} \Gamma\left(- \frac{1}{3}\right)} & \text{otherwise} \end{cases}\right) - \begin{cases} \frac{2 \sqrt[3]{-1 + \frac{1}{x^{3}}} e^{- \frac{2 i \pi}{3}} \Gamma\left(- \frac{10}{3}\right)}{3 \Gamma\left(- \frac{1}{3}\right)} + \frac{2 \sqrt[3]{-1 + \frac{1}{x^{3}}} e^{- \frac{2 i \pi}{3}} \Gamma\left(- \frac{10}{3}\right)}{9 x^{3} \Gamma\left(- \frac{1}{3}\right)} + \frac{4 \sqrt[3]{-1 + \frac{1}{x^{3}}} e^{- \frac{2 i \pi}{3}} \Gamma\left(- \frac{10}{3}\right)}{27 x^{6} \Gamma\left(- \frac{1}{3}\right)} - \frac{28 \sqrt[3]{-1 + \frac{1}{x^{3}}} e^{- \frac{2 i \pi}{3}} \Gamma\left(- \frac{10}{3}\right)}{27 x^{9} \Gamma\left(- \frac{1}{3}\right)} & \text{for}\: \frac{1}{\left|{x^{3}}\right|} > 1 \\- \frac{2 \sqrt[3]{1 - \frac{1}{x^{3}}} \Gamma\left(- \frac{10}{3}\right)}{3 \Gamma\left(- \frac{1}{3}\right)} - \frac{2 \sqrt[3]{1 - \frac{1}{x^{3}}} \Gamma\left(- \frac{10}{3}\right)}{9 x^{3} \Gamma\left(- \frac{1}{3}\right)} - \frac{4 \sqrt[3]{1 - \frac{1}{x^{3}}} \Gamma\left(- \frac{10}{3}\right)}{27 x^{6} \Gamma\left(- \frac{1}{3}\right)} + \frac{28 \sqrt[3]{1 - \frac{1}{x^{3}}} \Gamma\left(- \frac{10}{3}\right)}{27 x^{9} \Gamma\left(- \frac{1}{3}\right)} & \text{otherwise} \end{cases}"," ",0,"2*Piecewise(((-1 + x**(-3))**(1/3)*exp(I*pi/3)*gamma(-7/3)/(3*gamma(-1/3)) + (-1 + x**(-3))**(1/3)*exp(I*pi/3)*gamma(-7/3)/(9*x**3*gamma(-1/3)) - 4*(-1 + x**(-3))**(1/3)*exp(I*pi/3)*gamma(-7/3)/(9*x**6*gamma(-1/3)), 1/Abs(x**3) > 1), (3*x**6*(1 - 1/x**3)**(1/3)*gamma(-7/3)/(9*x**6*gamma(-1/3) - 9*x**3*gamma(-1/3)) - 2*x**3*(1 - 1/x**3)**(1/3)*gamma(-7/3)/(9*x**6*gamma(-1/3) - 9*x**3*gamma(-1/3)) + 4*(1 - 1/x**3)**(1/3)*gamma(-7/3)/(9*x**9*gamma(-1/3) - 9*x**6*gamma(-1/3)) - 5*(1 - 1/x**3)**(1/3)*gamma(-7/3)/(9*x**6*gamma(-1/3) - 9*x**3*gamma(-1/3)), True)) - Piecewise((2*(-1 + x**(-3))**(1/3)*exp(-2*I*pi/3)*gamma(-10/3)/(3*gamma(-1/3)) + 2*(-1 + x**(-3))**(1/3)*exp(-2*I*pi/3)*gamma(-10/3)/(9*x**3*gamma(-1/3)) + 4*(-1 + x**(-3))**(1/3)*exp(-2*I*pi/3)*gamma(-10/3)/(27*x**6*gamma(-1/3)) - 28*(-1 + x**(-3))**(1/3)*exp(-2*I*pi/3)*gamma(-10/3)/(27*x**9*gamma(-1/3)), 1/Abs(x**3) > 1), (-2*(1 - 1/x**3)**(1/3)*gamma(-10/3)/(3*gamma(-1/3)) - 2*(1 - 1/x**3)**(1/3)*gamma(-10/3)/(9*x**3*gamma(-1/3)) - 4*(1 - 1/x**3)**(1/3)*gamma(-10/3)/(27*x**6*gamma(-1/3)) + 28*(1 - 1/x**3)**(1/3)*gamma(-10/3)/(27*x**9*gamma(-1/3)), True))","C",0
316,1,418,0,2.483438," ","integrate((x**3-1)**(1/3)*(2*x**3-1)/x**8,x)","2 \left(\begin{cases} \frac{\sqrt[3]{-1 + \frac{1}{x^{3}}} e^{- \frac{2 i \pi}{3}} \Gamma\left(- \frac{4}{3}\right)}{3 \Gamma\left(- \frac{1}{3}\right)} - \frac{\sqrt[3]{-1 + \frac{1}{x^{3}}} e^{- \frac{2 i \pi}{3}} \Gamma\left(- \frac{4}{3}\right)}{3 x^{3} \Gamma\left(- \frac{1}{3}\right)} & \text{for}\: \frac{1}{\left|{x^{3}}\right|} > 1 \\- \frac{\sqrt[3]{1 - \frac{1}{x^{3}}} \Gamma\left(- \frac{4}{3}\right)}{3 \Gamma\left(- \frac{1}{3}\right)} + \frac{\sqrt[3]{1 - \frac{1}{x^{3}}} \Gamma\left(- \frac{4}{3}\right)}{3 x^{3} \Gamma\left(- \frac{1}{3}\right)} & \text{otherwise} \end{cases}\right) - \begin{cases} \frac{\sqrt[3]{-1 + \frac{1}{x^{3}}} e^{\frac{i \pi}{3}} \Gamma\left(- \frac{7}{3}\right)}{3 \Gamma\left(- \frac{1}{3}\right)} + \frac{\sqrt[3]{-1 + \frac{1}{x^{3}}} e^{\frac{i \pi}{3}} \Gamma\left(- \frac{7}{3}\right)}{9 x^{3} \Gamma\left(- \frac{1}{3}\right)} - \frac{4 \sqrt[3]{-1 + \frac{1}{x^{3}}} e^{\frac{i \pi}{3}} \Gamma\left(- \frac{7}{3}\right)}{9 x^{6} \Gamma\left(- \frac{1}{3}\right)} & \text{for}\: \frac{1}{\left|{x^{3}}\right|} > 1 \\\frac{3 x^{6} \sqrt[3]{1 - \frac{1}{x^{3}}} \Gamma\left(- \frac{7}{3}\right)}{9 x^{6} \Gamma\left(- \frac{1}{3}\right) - 9 x^{3} \Gamma\left(- \frac{1}{3}\right)} - \frac{2 x^{3} \sqrt[3]{1 - \frac{1}{x^{3}}} \Gamma\left(- \frac{7}{3}\right)}{9 x^{6} \Gamma\left(- \frac{1}{3}\right) - 9 x^{3} \Gamma\left(- \frac{1}{3}\right)} + \frac{4 \sqrt[3]{1 - \frac{1}{x^{3}}} \Gamma\left(- \frac{7}{3}\right)}{9 x^{9} \Gamma\left(- \frac{1}{3}\right) - 9 x^{6} \Gamma\left(- \frac{1}{3}\right)} - \frac{5 \sqrt[3]{1 - \frac{1}{x^{3}}} \Gamma\left(- \frac{7}{3}\right)}{9 x^{6} \Gamma\left(- \frac{1}{3}\right) - 9 x^{3} \Gamma\left(- \frac{1}{3}\right)} & \text{otherwise} \end{cases}"," ",0,"2*Piecewise(((-1 + x**(-3))**(1/3)*exp(-2*I*pi/3)*gamma(-4/3)/(3*gamma(-1/3)) - (-1 + x**(-3))**(1/3)*exp(-2*I*pi/3)*gamma(-4/3)/(3*x**3*gamma(-1/3)), 1/Abs(x**3) > 1), (-(1 - 1/x**3)**(1/3)*gamma(-4/3)/(3*gamma(-1/3)) + (1 - 1/x**3)**(1/3)*gamma(-4/3)/(3*x**3*gamma(-1/3)), True)) - Piecewise(((-1 + x**(-3))**(1/3)*exp(I*pi/3)*gamma(-7/3)/(3*gamma(-1/3)) + (-1 + x**(-3))**(1/3)*exp(I*pi/3)*gamma(-7/3)/(9*x**3*gamma(-1/3)) - 4*(-1 + x**(-3))**(1/3)*exp(I*pi/3)*gamma(-7/3)/(9*x**6*gamma(-1/3)), 1/Abs(x**3) > 1), (3*x**6*(1 - 1/x**3)**(1/3)*gamma(-7/3)/(9*x**6*gamma(-1/3) - 9*x**3*gamma(-1/3)) - 2*x**3*(1 - 1/x**3)**(1/3)*gamma(-7/3)/(9*x**6*gamma(-1/3) - 9*x**3*gamma(-1/3)) + 4*(1 - 1/x**3)**(1/3)*gamma(-7/3)/(9*x**9*gamma(-1/3) - 9*x**6*gamma(-1/3)) - 5*(1 - 1/x**3)**(1/3)*gamma(-7/3)/(9*x**6*gamma(-1/3) - 9*x**3*gamma(-1/3)), True))","C",0
317,0,0,0,0.000000," ","integrate((x**2+3)*(2*x**3-x**2-1)/x**6/(x**3+x)**(1/4),x)","\int \frac{\left(x - 1\right) \left(x^{2} + 3\right) \left(2 x^{2} + x + 1\right)}{x^{6} \sqrt[4]{x \left(x^{2} + 1\right)}}\, dx"," ",0,"Integral((x - 1)*(x**2 + 3)*(2*x**2 + x + 1)/(x**6*(x*(x**2 + 1))**(1/4)), x)","F",0
318,-1,0,0,0.000000," ","integrate((a*x**3+2*b)/(a*x**3-b)**(1/2)/(a*x**3+x**2-b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
319,1,420,0,3.607825," ","integrate((x**4-4)*(x**4-1)**(3/4)/x**12,x)","\begin{cases} \frac{\left(-1 + \frac{1}{x^{4}}\right)^{\frac{3}{4}} e^{- \frac{i \pi}{4}} \Gamma\left(- \frac{7}{4}\right)}{4 \Gamma\left(- \frac{3}{4}\right)} - \frac{\left(-1 + \frac{1}{x^{4}}\right)^{\frac{3}{4}} e^{- \frac{i \pi}{4}} \Gamma\left(- \frac{7}{4}\right)}{4 x^{4} \Gamma\left(- \frac{3}{4}\right)} & \text{for}\: \frac{1}{\left|{x^{4}}\right|} > 1 \\- \frac{\left(1 - \frac{1}{x^{4}}\right)^{\frac{3}{4}} \Gamma\left(- \frac{7}{4}\right)}{4 \Gamma\left(- \frac{3}{4}\right)} + \frac{\left(1 - \frac{1}{x^{4}}\right)^{\frac{3}{4}} \Gamma\left(- \frac{7}{4}\right)}{4 x^{4} \Gamma\left(- \frac{3}{4}\right)} & \text{otherwise} \end{cases} - 4 \left(\begin{cases} \frac{\left(-1 + \frac{1}{x^{4}}\right)^{\frac{3}{4}} e^{\frac{3 i \pi}{4}} \Gamma\left(- \frac{11}{4}\right)}{4 \Gamma\left(- \frac{3}{4}\right)} + \frac{3 \left(-1 + \frac{1}{x^{4}}\right)^{\frac{3}{4}} e^{\frac{3 i \pi}{4}} \Gamma\left(- \frac{11}{4}\right)}{16 x^{4} \Gamma\left(- \frac{3}{4}\right)} - \frac{7 \left(-1 + \frac{1}{x^{4}}\right)^{\frac{3}{4}} e^{\frac{3 i \pi}{4}} \Gamma\left(- \frac{11}{4}\right)}{16 x^{8} \Gamma\left(- \frac{3}{4}\right)} & \text{for}\: \frac{1}{\left|{x^{4}}\right|} > 1 \\\frac{4 x^{8} \left(1 - \frac{1}{x^{4}}\right)^{\frac{3}{4}} \Gamma\left(- \frac{11}{4}\right)}{16 x^{8} \Gamma\left(- \frac{3}{4}\right) - 16 x^{4} \Gamma\left(- \frac{3}{4}\right)} - \frac{x^{4} \left(1 - \frac{1}{x^{4}}\right)^{\frac{3}{4}} \Gamma\left(- \frac{11}{4}\right)}{16 x^{8} \Gamma\left(- \frac{3}{4}\right) - 16 x^{4} \Gamma\left(- \frac{3}{4}\right)} + \frac{7 \left(1 - \frac{1}{x^{4}}\right)^{\frac{3}{4}} \Gamma\left(- \frac{11}{4}\right)}{16 x^{12} \Gamma\left(- \frac{3}{4}\right) - 16 x^{8} \Gamma\left(- \frac{3}{4}\right)} - \frac{10 \left(1 - \frac{1}{x^{4}}\right)^{\frac{3}{4}} \Gamma\left(- \frac{11}{4}\right)}{16 x^{8} \Gamma\left(- \frac{3}{4}\right) - 16 x^{4} \Gamma\left(- \frac{3}{4}\right)} & \text{otherwise} \end{cases}\right)"," ",0,"Piecewise(((-1 + x**(-4))**(3/4)*exp(-I*pi/4)*gamma(-7/4)/(4*gamma(-3/4)) - (-1 + x**(-4))**(3/4)*exp(-I*pi/4)*gamma(-7/4)/(4*x**4*gamma(-3/4)), 1/Abs(x**4) > 1), (-(1 - 1/x**4)**(3/4)*gamma(-7/4)/(4*gamma(-3/4)) + (1 - 1/x**4)**(3/4)*gamma(-7/4)/(4*x**4*gamma(-3/4)), True)) - 4*Piecewise(((-1 + x**(-4))**(3/4)*exp(3*I*pi/4)*gamma(-11/4)/(4*gamma(-3/4)) + 3*(-1 + x**(-4))**(3/4)*exp(3*I*pi/4)*gamma(-11/4)/(16*x**4*gamma(-3/4)) - 7*(-1 + x**(-4))**(3/4)*exp(3*I*pi/4)*gamma(-11/4)/(16*x**8*gamma(-3/4)), 1/Abs(x**4) > 1), (4*x**8*(1 - 1/x**4)**(3/4)*gamma(-11/4)/(16*x**8*gamma(-3/4) - 16*x**4*gamma(-3/4)) - x**4*(1 - 1/x**4)**(3/4)*gamma(-11/4)/(16*x**8*gamma(-3/4) - 16*x**4*gamma(-3/4)) + 7*(1 - 1/x**4)**(3/4)*gamma(-11/4)/(16*x**12*gamma(-3/4) - 16*x**8*gamma(-3/4)) - 10*(1 - 1/x**4)**(3/4)*gamma(-11/4)/(16*x**8*gamma(-3/4) - 16*x**4*gamma(-3/4)), True))","C",0
320,1,39,0,0.963425," ","integrate((x**4+1)**(1/2)/x,x)","\frac{x^{2}}{2 \sqrt{1 + \frac{1}{x^{4}}}} - \frac{\operatorname{asinh}{\left(\frac{1}{x^{2}} \right)}}{2} + \frac{1}{2 x^{2} \sqrt{1 + \frac{1}{x^{4}}}}"," ",0,"x**2/(2*sqrt(1 + x**(-4))) - asinh(x**(-2))/2 + 1/(2*x**2*sqrt(1 + x**(-4)))","A",0
321,0,0,0,0.000000," ","integrate((x**4-x)**(1/4)/x**8,x)","\int \frac{\sqrt[4]{x \left(x - 1\right) \left(x^{2} + x + 1\right)}}{x^{8}}\, dx"," ",0,"Integral((x*(x - 1)*(x**2 + x + 1))**(1/4)/x**8, x)","F",0
322,0,0,0,0.000000," ","integrate((x**4+x)**(1/4)/x**8,x)","\int \frac{\sqrt[4]{x \left(x + 1\right) \left(x^{2} - x + 1\right)}}{x^{8}}\, dx"," ",0,"Integral((x*(x + 1)*(x**2 - x + 1))**(1/4)/x**8, x)","F",0
323,0,0,0,0.000000," ","integrate((x**2+2)/(x**2-1)/(x**4-x**2-1)**(1/2),x)","\int \frac{x^{2} + 2}{\left(x - 1\right) \left(x + 1\right) \sqrt{x^{4} - x^{2} - 1}}\, dx"," ",0,"Integral((x**2 + 2)/((x - 1)*(x + 1)*sqrt(x**4 - x**2 - 1)), x)","F",0
324,1,167,0,4.093040," ","integrate((x**3+4)*(x**4-x**3-1)/x**6/(x**3+1)**(3/4),x)","\frac{x^{2} \Gamma\left(\frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{2}{3}, \frac{3}{4} \\ \frac{5}{3} \end{matrix}\middle| {x^{3} e^{i \pi}} \right)}}{3 \Gamma\left(\frac{5}{3}\right)} - \frac{x \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{3}{4} \\ \frac{4}{3} \end{matrix}\middle| {x^{3} e^{i \pi}} \right)}}{3 \Gamma\left(\frac{4}{3}\right)} + \frac{4 \Gamma\left(- \frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, \frac{3}{4} \\ \frac{2}{3} \end{matrix}\middle| {x^{3} e^{i \pi}} \right)}}{3 x \Gamma\left(\frac{2}{3}\right)} - \frac{5 \Gamma\left(- \frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, \frac{3}{4} \\ \frac{1}{3} \end{matrix}\middle| {x^{3} e^{i \pi}} \right)}}{3 x^{2} \Gamma\left(\frac{1}{3}\right)} - \frac{4 \Gamma\left(- \frac{5}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{5}{3}, \frac{3}{4} \\ - \frac{2}{3} \end{matrix}\middle| {x^{3} e^{i \pi}} \right)}}{3 x^{5} \Gamma\left(- \frac{2}{3}\right)}"," ",0,"x**2*gamma(2/3)*hyper((2/3, 3/4), (5/3,), x**3*exp_polar(I*pi))/(3*gamma(5/3)) - x*gamma(1/3)*hyper((1/3, 3/4), (4/3,), x**3*exp_polar(I*pi))/(3*gamma(4/3)) + 4*gamma(-1/3)*hyper((-1/3, 3/4), (2/3,), x**3*exp_polar(I*pi))/(3*x*gamma(2/3)) - 5*gamma(-2/3)*hyper((-2/3, 3/4), (1/3,), x**3*exp_polar(I*pi))/(3*x**2*gamma(1/3)) - 4*gamma(-5/3)*hyper((-5/3, 3/4), (-2/3,), x**3*exp_polar(I*pi))/(3*x**5*gamma(-2/3))","C",0
325,1,177,0,4.797082," ","integrate((x**3+4)*(x**4-x**3-1)/x**8/(x**3+1)**(1/4),x)","- \frac{\Gamma\left(- \frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, \frac{1}{4} \\ \frac{2}{3} \end{matrix}\middle| {x^{3} e^{i \pi}} \right)}}{3 x \Gamma\left(\frac{2}{3}\right)} - \frac{5 \Gamma\left(- \frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{4}{3}, \frac{1}{4} \\ - \frac{1}{3} \end{matrix}\middle| {x^{3} e^{i \pi}} \right)}}{3 x^{4} \Gamma\left(- \frac{1}{3}\right)} - \frac{4 \Gamma\left(- \frac{7}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{7}{3}, \frac{1}{4} \\ - \frac{4}{3} \end{matrix}\middle| {x^{3} e^{i \pi}} \right)}}{3 x^{7} \Gamma\left(- \frac{4}{3}\right)} - \frac{\Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{4}, \frac{1}{4} \\ \frac{5}{4} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{3}}} \right)}}{3 x^{\frac{3}{4}} \Gamma\left(\frac{5}{4}\right)} - \frac{4 \Gamma\left(\frac{5}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{4}, \frac{5}{4} \\ \frac{9}{4} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{3}}} \right)}}{3 x^{\frac{15}{4}} \Gamma\left(\frac{9}{4}\right)}"," ",0,"-gamma(-1/3)*hyper((-1/3, 1/4), (2/3,), x**3*exp_polar(I*pi))/(3*x*gamma(2/3)) - 5*gamma(-4/3)*hyper((-4/3, 1/4), (-1/3,), x**3*exp_polar(I*pi))/(3*x**4*gamma(-1/3)) - 4*gamma(-7/3)*hyper((-7/3, 1/4), (-4/3,), x**3*exp_polar(I*pi))/(3*x**7*gamma(-4/3)) - gamma(1/4)*hyper((1/4, 1/4), (5/4,), exp_polar(I*pi)/x**3)/(3*x**(3/4)*gamma(5/4)) - 4*gamma(5/4)*hyper((1/4, 5/4), (9/4,), exp_polar(I*pi)/x**3)/(3*x**(15/4)*gamma(9/4))","C",0
326,1,189,0,4.959967," ","integrate((x**3-4)*(x**4-x**3+1)/x**8/(x**3-1)**(1/4),x)","\frac{e^{\frac{3 i \pi}{4}} \Gamma\left(- \frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, \frac{1}{4} \\ \frac{2}{3} \end{matrix}\middle| {x^{3}} \right)}}{3 x \Gamma\left(\frac{2}{3}\right)} - \frac{5 e^{\frac{3 i \pi}{4}} \Gamma\left(- \frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{4}{3}, \frac{1}{4} \\ - \frac{1}{3} \end{matrix}\middle| {x^{3}} \right)}}{3 x^{4} \Gamma\left(- \frac{1}{3}\right)} + \frac{4 e^{\frac{3 i \pi}{4}} \Gamma\left(- \frac{7}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{7}{3}, \frac{1}{4} \\ - \frac{4}{3} \end{matrix}\middle| {x^{3}} \right)}}{3 x^{7} \Gamma\left(- \frac{4}{3}\right)} - \frac{\Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{4}, \frac{1}{4} \\ \frac{5}{4} \end{matrix}\middle| {\frac{e^{2 i \pi}}{x^{3}}} \right)}}{3 x^{\frac{3}{4}} \Gamma\left(\frac{5}{4}\right)} + \frac{4 \Gamma\left(\frac{5}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{4}, \frac{5}{4} \\ \frac{9}{4} \end{matrix}\middle| {\frac{e^{2 i \pi}}{x^{3}}} \right)}}{3 x^{\frac{15}{4}} \Gamma\left(\frac{9}{4}\right)}"," ",0,"exp(3*I*pi/4)*gamma(-1/3)*hyper((-1/3, 1/4), (2/3,), x**3)/(3*x*gamma(2/3)) - 5*exp(3*I*pi/4)*gamma(-4/3)*hyper((-4/3, 1/4), (-1/3,), x**3)/(3*x**4*gamma(-1/3)) + 4*exp(3*I*pi/4)*gamma(-7/3)*hyper((-7/3, 1/4), (-4/3,), x**3)/(3*x**7*gamma(-4/3)) - gamma(1/4)*hyper((1/4, 1/4), (5/4,), exp_polar(2*I*pi)/x**3)/(3*x**(3/4)*gamma(5/4)) + 4*gamma(5/4)*hyper((1/4, 5/4), (9/4,), exp_polar(2*I*pi)/x**3)/(3*x**(15/4)*gamma(9/4))","C",0
327,0,0,0,0.000000," ","integrate(x/(x**4+x**3)**(1/2),x)","\int \frac{x}{\sqrt{x^{3} \left(x + 1\right)}}\, dx"," ",0,"Integral(x/sqrt(x**3*(x + 1)), x)","F",0
328,0,0,0,0.000000," ","integrate(1/x/(1+x)/(x**4+x**3)**(1/4),x)","\int \frac{1}{x \sqrt[4]{x^{3} \left(x + 1\right)} \left(x + 1\right)}\, dx"," ",0,"Integral(1/(x*(x**3*(x + 1))**(1/4)*(x + 1)), x)","F",0
329,1,168,0,4.264143," ","integrate((x**3+4)*(2*x**4-x**3-1)/x**6/(x**3+1)**(3/4),x)","\frac{2 x^{2} \Gamma\left(\frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{2}{3}, \frac{3}{4} \\ \frac{5}{3} \end{matrix}\middle| {x^{3} e^{i \pi}} \right)}}{3 \Gamma\left(\frac{5}{3}\right)} - \frac{x \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{3}{4} \\ \frac{4}{3} \end{matrix}\middle| {x^{3} e^{i \pi}} \right)}}{3 \Gamma\left(\frac{4}{3}\right)} + \frac{8 \Gamma\left(- \frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, \frac{3}{4} \\ \frac{2}{3} \end{matrix}\middle| {x^{3} e^{i \pi}} \right)}}{3 x \Gamma\left(\frac{2}{3}\right)} - \frac{5 \Gamma\left(- \frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, \frac{3}{4} \\ \frac{1}{3} \end{matrix}\middle| {x^{3} e^{i \pi}} \right)}}{3 x^{2} \Gamma\left(\frac{1}{3}\right)} - \frac{4 \Gamma\left(- \frac{5}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{5}{3}, \frac{3}{4} \\ - \frac{2}{3} \end{matrix}\middle| {x^{3} e^{i \pi}} \right)}}{3 x^{5} \Gamma\left(- \frac{2}{3}\right)}"," ",0,"2*x**2*gamma(2/3)*hyper((2/3, 3/4), (5/3,), x**3*exp_polar(I*pi))/(3*gamma(5/3)) - x*gamma(1/3)*hyper((1/3, 3/4), (4/3,), x**3*exp_polar(I*pi))/(3*gamma(4/3)) + 8*gamma(-1/3)*hyper((-1/3, 3/4), (2/3,), x**3*exp_polar(I*pi))/(3*x*gamma(2/3)) - 5*gamma(-2/3)*hyper((-2/3, 3/4), (1/3,), x**3*exp_polar(I*pi))/(3*x**2*gamma(1/3)) - 4*gamma(-5/3)*hyper((-5/3, 3/4), (-2/3,), x**3*exp_polar(I*pi))/(3*x**5*gamma(-2/3))","C",0
330,0,0,0,0.000000," ","integrate((x**4-3)*(x**4-x**3+1)/x**6/(x**5+x)**(1/4),x)","\int \frac{\left(x^{4} - 3\right) \left(x^{4} - x^{3} + 1\right)}{x^{6} \sqrt[4]{x \left(x^{4} + 1\right)}}\, dx"," ",0,"Integral((x**4 - 3)*(x**4 - x**3 + 1)/(x**6*(x*(x**4 + 1))**(1/4)), x)","F",0
331,1,88,0,1.032913," ","integrate((x**6-1)**(1/2)/x,x)","\begin{cases} - \frac{i x^{3}}{3 \sqrt{-1 + \frac{1}{x^{6}}}} - \frac{i \operatorname{acosh}{\left(\frac{1}{x^{3}} \right)}}{3} + \frac{i}{3 x^{3} \sqrt{-1 + \frac{1}{x^{6}}}} & \text{for}\: \frac{1}{\left|{x^{6}}\right|} > 1 \\\frac{x^{3}}{3 \sqrt{1 - \frac{1}{x^{6}}}} + \frac{\operatorname{asin}{\left(\frac{1}{x^{3}} \right)}}{3} - \frac{1}{3 x^{3} \sqrt{1 - \frac{1}{x^{6}}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-I*x**3/(3*sqrt(-1 + x**(-6))) - I*acosh(x**(-3))/3 + I/(3*x**3*sqrt(-1 + x**(-6))), 1/Abs(x**6) > 1), (x**3/(3*sqrt(1 - 1/x**6)) + asin(x**(-3))/3 - 1/(3*x**3*sqrt(1 - 1/x**6)), True))","A",0
332,1,39,0,28.444774," ","integrate((x**6-1)/x/(x**6+1)**(1/2),x)","\frac{\sqrt{x^{6} + 1}}{3} - \frac{\log{\left(-1 + \frac{1}{\sqrt{x^{6} + 1}} \right)}}{6} + \frac{\log{\left(1 + \frac{1}{\sqrt{x^{6} + 1}} \right)}}{6}"," ",0,"sqrt(x**6 + 1)/3 - log(-1 + 1/sqrt(x**6 + 1))/6 + log(1 + 1/sqrt(x**6 + 1))/6","A",0
333,1,39,0,0.967999," ","integrate((x**6+1)**(1/2)/x,x)","\frac{x^{3}}{3 \sqrt{1 + \frac{1}{x^{6}}}} - \frac{\operatorname{asinh}{\left(\frac{1}{x^{3}} \right)}}{3} + \frac{1}{3 x^{3} \sqrt{1 + \frac{1}{x^{6}}}}"," ",0,"x**3/(3*sqrt(1 + x**(-6))) - asinh(x**(-3))/3 + 1/(3*x**3*sqrt(1 + x**(-6)))","A",0
334,1,416,0,4.284943," ","integrate((x**6-1)**(1/3)*(x**6+1)/x**15,x)","\begin{cases} \frac{\sqrt[3]{-1 + \frac{1}{x^{6}}} e^{- \frac{2 i \pi}{3}} \Gamma\left(- \frac{4}{3}\right)}{6 \Gamma\left(- \frac{1}{3}\right)} - \frac{\sqrt[3]{-1 + \frac{1}{x^{6}}} e^{- \frac{2 i \pi}{3}} \Gamma\left(- \frac{4}{3}\right)}{6 x^{6} \Gamma\left(- \frac{1}{3}\right)} & \text{for}\: \frac{1}{\left|{x^{6}}\right|} > 1 \\- \frac{\sqrt[3]{1 - \frac{1}{x^{6}}} \Gamma\left(- \frac{4}{3}\right)}{6 \Gamma\left(- \frac{1}{3}\right)} + \frac{\sqrt[3]{1 - \frac{1}{x^{6}}} \Gamma\left(- \frac{4}{3}\right)}{6 x^{6} \Gamma\left(- \frac{1}{3}\right)} & \text{otherwise} \end{cases} + \begin{cases} \frac{\sqrt[3]{-1 + \frac{1}{x^{6}}} e^{\frac{i \pi}{3}} \Gamma\left(- \frac{7}{3}\right)}{6 \Gamma\left(- \frac{1}{3}\right)} + \frac{\sqrt[3]{-1 + \frac{1}{x^{6}}} e^{\frac{i \pi}{3}} \Gamma\left(- \frac{7}{3}\right)}{18 x^{6} \Gamma\left(- \frac{1}{3}\right)} - \frac{2 \sqrt[3]{-1 + \frac{1}{x^{6}}} e^{\frac{i \pi}{3}} \Gamma\left(- \frac{7}{3}\right)}{9 x^{12} \Gamma\left(- \frac{1}{3}\right)} & \text{for}\: \frac{1}{\left|{x^{6}}\right|} > 1 \\\frac{3 x^{12} \sqrt[3]{1 - \frac{1}{x^{6}}} \Gamma\left(- \frac{7}{3}\right)}{18 x^{12} \Gamma\left(- \frac{1}{3}\right) - 18 x^{6} \Gamma\left(- \frac{1}{3}\right)} - \frac{2 x^{6} \sqrt[3]{1 - \frac{1}{x^{6}}} \Gamma\left(- \frac{7}{3}\right)}{18 x^{12} \Gamma\left(- \frac{1}{3}\right) - 18 x^{6} \Gamma\left(- \frac{1}{3}\right)} + \frac{4 \sqrt[3]{1 - \frac{1}{x^{6}}} \Gamma\left(- \frac{7}{3}\right)}{18 x^{18} \Gamma\left(- \frac{1}{3}\right) - 18 x^{12} \Gamma\left(- \frac{1}{3}\right)} - \frac{5 \sqrt[3]{1 - \frac{1}{x^{6}}} \Gamma\left(- \frac{7}{3}\right)}{18 x^{12} \Gamma\left(- \frac{1}{3}\right) - 18 x^{6} \Gamma\left(- \frac{1}{3}\right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-1 + x**(-6))**(1/3)*exp(-2*I*pi/3)*gamma(-4/3)/(6*gamma(-1/3)) - (-1 + x**(-6))**(1/3)*exp(-2*I*pi/3)*gamma(-4/3)/(6*x**6*gamma(-1/3)), 1/Abs(x**6) > 1), (-(1 - 1/x**6)**(1/3)*gamma(-4/3)/(6*gamma(-1/3)) + (1 - 1/x**6)**(1/3)*gamma(-4/3)/(6*x**6*gamma(-1/3)), True)) + Piecewise(((-1 + x**(-6))**(1/3)*exp(I*pi/3)*gamma(-7/3)/(6*gamma(-1/3)) + (-1 + x**(-6))**(1/3)*exp(I*pi/3)*gamma(-7/3)/(18*x**6*gamma(-1/3)) - 2*(-1 + x**(-6))**(1/3)*exp(I*pi/3)*gamma(-7/3)/(9*x**12*gamma(-1/3)), 1/Abs(x**6) > 1), (3*x**12*(1 - 1/x**6)**(1/3)*gamma(-7/3)/(18*x**12*gamma(-1/3) - 18*x**6*gamma(-1/3)) - 2*x**6*(1 - 1/x**6)**(1/3)*gamma(-7/3)/(18*x**12*gamma(-1/3) - 18*x**6*gamma(-1/3)) + 4*(1 - 1/x**6)**(1/3)*gamma(-7/3)/(18*x**18*gamma(-1/3) - 18*x**12*gamma(-1/3)) - 5*(1 - 1/x**6)**(1/3)*gamma(-7/3)/(18*x**12*gamma(-1/3) - 18*x**6*gamma(-1/3)), True))","C",0
335,0,0,0,0.000000," ","integrate((x**5-x**3+1)*(2*x**5-3)/x**6/(x**6+x)**(1/4),x)","\int \frac{\left(2 x^{5} - 3\right) \left(x^{5} - x^{3} + 1\right)}{x^{6} \sqrt[4]{x \left(x + 1\right) \left(x^{4} - x^{3} + x^{2} - x + 1\right)}}\, dx"," ",0,"Integral((2*x**5 - 3)*(x**5 - x**3 + 1)/(x**6*(x*(x + 1)*(x**4 - x**3 + x**2 - x + 1))**(1/4)), x)","F",0
336,1,143,0,4.608129," ","integrate((x**6-2)*(x**6-x**4+1)/x**8/(x**6+1)**(1/4),x)","\frac{x^{5} \Gamma\left(\frac{5}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{4}, \frac{5}{6} \\ \frac{11}{6} \end{matrix}\middle| {x^{6} e^{i \pi}} \right)}}{6 \Gamma\left(\frac{11}{6}\right)} - \frac{x^{3} {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{4}, \frac{1}{2} \\ \frac{3}{2} \end{matrix}\middle| {x^{6} e^{i \pi}} \right)}}{3} - \frac{\Gamma\left(- \frac{1}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{6}, \frac{1}{4} \\ \frac{5}{6} \end{matrix}\middle| {x^{6} e^{i \pi}} \right)}}{6 x \Gamma\left(\frac{5}{6}\right)} - \frac{2 {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{1}{4} \\ \frac{1}{2} \end{matrix}\middle| {x^{6} e^{i \pi}} \right)}}{3 x^{3}} - \frac{\Gamma\left(- \frac{7}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{7}{6}, \frac{1}{4} \\ - \frac{1}{6} \end{matrix}\middle| {x^{6} e^{i \pi}} \right)}}{3 x^{7} \Gamma\left(- \frac{1}{6}\right)}"," ",0,"x**5*gamma(5/6)*hyper((1/4, 5/6), (11/6,), x**6*exp_polar(I*pi))/(6*gamma(11/6)) - x**3*hyper((1/4, 1/2), (3/2,), x**6*exp_polar(I*pi))/3 - gamma(-1/6)*hyper((-1/6, 1/4), (5/6,), x**6*exp_polar(I*pi))/(6*x*gamma(5/6)) - 2*hyper((-1/2, 1/4), (1/2,), x**6*exp_polar(I*pi))/(3*x**3) - gamma(-7/6)*hyper((-7/6, 1/4), (-1/6,), x**6*exp_polar(I*pi))/(3*x**7*gamma(-1/6))","C",0
337,1,418,0,4.708022," ","integrate((x**6-1)**(1/3)*(2*x**6-1)/x**15,x)","2 \left(\begin{cases} \frac{\sqrt[3]{-1 + \frac{1}{x^{6}}} e^{- \frac{2 i \pi}{3}} \Gamma\left(- \frac{4}{3}\right)}{6 \Gamma\left(- \frac{1}{3}\right)} - \frac{\sqrt[3]{-1 + \frac{1}{x^{6}}} e^{- \frac{2 i \pi}{3}} \Gamma\left(- \frac{4}{3}\right)}{6 x^{6} \Gamma\left(- \frac{1}{3}\right)} & \text{for}\: \frac{1}{\left|{x^{6}}\right|} > 1 \\- \frac{\sqrt[3]{1 - \frac{1}{x^{6}}} \Gamma\left(- \frac{4}{3}\right)}{6 \Gamma\left(- \frac{1}{3}\right)} + \frac{\sqrt[3]{1 - \frac{1}{x^{6}}} \Gamma\left(- \frac{4}{3}\right)}{6 x^{6} \Gamma\left(- \frac{1}{3}\right)} & \text{otherwise} \end{cases}\right) - \begin{cases} \frac{\sqrt[3]{-1 + \frac{1}{x^{6}}} e^{\frac{i \pi}{3}} \Gamma\left(- \frac{7}{3}\right)}{6 \Gamma\left(- \frac{1}{3}\right)} + \frac{\sqrt[3]{-1 + \frac{1}{x^{6}}} e^{\frac{i \pi}{3}} \Gamma\left(- \frac{7}{3}\right)}{18 x^{6} \Gamma\left(- \frac{1}{3}\right)} - \frac{2 \sqrt[3]{-1 + \frac{1}{x^{6}}} e^{\frac{i \pi}{3}} \Gamma\left(- \frac{7}{3}\right)}{9 x^{12} \Gamma\left(- \frac{1}{3}\right)} & \text{for}\: \frac{1}{\left|{x^{6}}\right|} > 1 \\\frac{3 x^{12} \sqrt[3]{1 - \frac{1}{x^{6}}} \Gamma\left(- \frac{7}{3}\right)}{18 x^{12} \Gamma\left(- \frac{1}{3}\right) - 18 x^{6} \Gamma\left(- \frac{1}{3}\right)} - \frac{2 x^{6} \sqrt[3]{1 - \frac{1}{x^{6}}} \Gamma\left(- \frac{7}{3}\right)}{18 x^{12} \Gamma\left(- \frac{1}{3}\right) - 18 x^{6} \Gamma\left(- \frac{1}{3}\right)} + \frac{4 \sqrt[3]{1 - \frac{1}{x^{6}}} \Gamma\left(- \frac{7}{3}\right)}{18 x^{18} \Gamma\left(- \frac{1}{3}\right) - 18 x^{12} \Gamma\left(- \frac{1}{3}\right)} - \frac{5 \sqrt[3]{1 - \frac{1}{x^{6}}} \Gamma\left(- \frac{7}{3}\right)}{18 x^{12} \Gamma\left(- \frac{1}{3}\right) - 18 x^{6} \Gamma\left(- \frac{1}{3}\right)} & \text{otherwise} \end{cases}"," ",0,"2*Piecewise(((-1 + x**(-6))**(1/3)*exp(-2*I*pi/3)*gamma(-4/3)/(6*gamma(-1/3)) - (-1 + x**(-6))**(1/3)*exp(-2*I*pi/3)*gamma(-4/3)/(6*x**6*gamma(-1/3)), 1/Abs(x**6) > 1), (-(1 - 1/x**6)**(1/3)*gamma(-4/3)/(6*gamma(-1/3)) + (1 - 1/x**6)**(1/3)*gamma(-4/3)/(6*x**6*gamma(-1/3)), True)) - Piecewise(((-1 + x**(-6))**(1/3)*exp(I*pi/3)*gamma(-7/3)/(6*gamma(-1/3)) + (-1 + x**(-6))**(1/3)*exp(I*pi/3)*gamma(-7/3)/(18*x**6*gamma(-1/3)) - 2*(-1 + x**(-6))**(1/3)*exp(I*pi/3)*gamma(-7/3)/(9*x**12*gamma(-1/3)), 1/Abs(x**6) > 1), (3*x**12*(1 - 1/x**6)**(1/3)*gamma(-7/3)/(18*x**12*gamma(-1/3) - 18*x**6*gamma(-1/3)) - 2*x**6*(1 - 1/x**6)**(1/3)*gamma(-7/3)/(18*x**12*gamma(-1/3) - 18*x**6*gamma(-1/3)) + 4*(1 - 1/x**6)**(1/3)*gamma(-7/3)/(18*x**18*gamma(-1/3) - 18*x**12*gamma(-1/3)) - 5*(1 - 1/x**6)**(1/3)*gamma(-7/3)/(18*x**12*gamma(-1/3) - 18*x**6*gamma(-1/3)), True))","C",0
338,-1,0,0,0.000000," ","integrate(x**2*(x**3-2)*(x**3+1)**(1/2)/(x**9+3*x**3+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
339,0,0,0,0.000000," ","integrate(x**4*(4*x**5-9)/(x**6-x)**(1/2)/(x**9-a*x**5+a),x)","\int \frac{x^{4} \left(4 x^{5} - 9\right)}{\sqrt{x \left(x - 1\right) \left(x^{4} + x^{3} + x^{2} + x + 1\right)} \left(- a x^{5} + a + x^{9}\right)}\, dx"," ",0,"Integral(x**4*(4*x**5 - 9)/(sqrt(x*(x - 1)*(x**4 + x**3 + x**2 + x + 1))*(-a*x**5 + a + x**9)), x)","F",0
340,0,0,0,0.000000," ","integrate(x**4*(5*x**4-9)/(x**5-x)**(1/2)/(a*x**9-x**4+1),x)","\int \frac{x^{4} \left(5 x^{4} - 9\right)}{\sqrt{x \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)} \left(a x^{9} - x^{4} + 1\right)}\, dx"," ",0,"Integral(x**4*(5*x**4 - 9)/(sqrt(x*(x - 1)*(x + 1)*(x**2 + 1))*(a*x**9 - x**4 + 1)), x)","F",0
341,0,0,0,0.000000," ","integrate(x**4*(4*x**5-9)/(x**6-x)**(1/2)/(a*x**9-x**5+1),x)","\int \frac{x^{4} \left(4 x^{5} - 9\right)}{\sqrt{x \left(x - 1\right) \left(x^{4} + x^{3} + x^{2} + x + 1\right)} \left(a x^{9} - x^{5} + 1\right)}\, dx"," ",0,"Integral(x**4*(4*x**5 - 9)/(sqrt(x*(x - 1)*(x**4 + x**3 + x**2 + x + 1))*(a*x**9 - x**5 + 1)), x)","F",0
342,1,65,0,3.689176," ","integrate((x**12+1)/x**16/(x**6-1)**(1/2),x)","\frac{\begin{cases} \frac{\sqrt{x^{6} - 1}}{x^{3}} & \text{for}\: x > -1 \wedge x < 1 \end{cases}}{3} + \frac{\begin{cases} \frac{\sqrt{x^{6} - 1}}{x^{3}} - \frac{2 \left(x^{6} - 1\right)^{\frac{3}{2}}}{3 x^{9}} + \frac{\left(x^{6} - 1\right)^{\frac{5}{2}}}{5 x^{15}} & \text{for}\: x > -1 \wedge x < 1 \end{cases}}{3}"," ",0,"Piecewise((sqrt(x**6 - 1)/x**3, (x > -1) & (x < 1)))/3 + Piecewise((sqrt(x**6 - 1)/x**3 - 2*(x**6 - 1)**(3/2)/(3*x**9) + (x**6 - 1)**(5/2)/(5*x**15), (x > -1) & (x < 1)))/3","A",0
343,0,0,0,0.000000," ","integrate((-1+x)/(-3+x)/(1+x)/(x**2-2*x-2)**(1/4),x)","\int \frac{x - 1}{\left(x - 3\right) \left(x + 1\right) \sqrt[4]{x^{2} - 2 x - 2}}\, dx"," ",0,"Integral((x - 1)/((x - 3)*(x + 1)*(x**2 - 2*x - 2)**(1/4)), x)","F",0
344,0,0,0,0.000000," ","integrate(1/(-1+x)/(x**2-2*x+2)**(1/4),x)","\int \frac{1}{\left(x - 1\right) \sqrt[4]{x^{2} - 2 x + 2}}\, dx"," ",0,"Integral(1/((x - 1)*(x**2 - 2*x + 2)**(1/4)), x)","F",0
345,0,0,0,0.000000," ","integrate(1/(1+x)/(x**2+2*x+2)**(1/4),x)","\int \frac{1}{\left(x + 1\right) \sqrt[4]{x^{2} + 2 x + 2}}\, dx"," ",0,"Integral(1/((x + 1)*(x**2 + 2*x + 2)**(1/4)), x)","F",0
346,1,32,0,0.779777," ","integrate(1/x/(x**3+1)**(1/4),x)","- \frac{\Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{4}, \frac{1}{4} \\ \frac{5}{4} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{3}}} \right)}}{3 x^{\frac{3}{4}} \Gamma\left(\frac{5}{4}\right)}"," ",0,"-gamma(1/4)*hyper((1/4, 1/4), (5/4,), exp_polar(I*pi)/x**3)/(3*x**(3/4)*gamma(5/4))","C",0
347,1,60,0,0.964778," ","integrate(1/x/(a*x**3-b)**(1/2),x)","\begin{cases} \frac{2 i \operatorname{acosh}{\left(\frac{\sqrt{b}}{\sqrt{a} x^{\frac{3}{2}}} \right)}}{3 \sqrt{b}} & \text{for}\: \left|{\frac{b}{a x^{3}}}\right| > 1 \\- \frac{2 \operatorname{asin}{\left(\frac{\sqrt{b}}{\sqrt{a} x^{\frac{3}{2}}} \right)}}{3 \sqrt{b}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*I*acosh(sqrt(b)/(sqrt(a)*x**(3/2)))/(3*sqrt(b)), Abs(b/(a*x**3)) > 1), (-2*asin(sqrt(b)/(sqrt(a)*x**(3/2)))/(3*sqrt(b)), True))","A",0
348,1,48,0,0.631182," ","integrate(x**5/(a*x**3-b)**(1/2),x)","\begin{cases} \frac{2 x^{3} \sqrt{a x^{3} - b}}{9 a} + \frac{4 b \sqrt{a x^{3} - b}}{9 a^{2}} & \text{for}\: a \neq 0 \\\frac{x^{6}}{6 \sqrt{- b}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*x**3*sqrt(a*x**3 - b)/(9*a) + 4*b*sqrt(a*x**3 - b)/(9*a**2), Ne(a, 0)), (x**6/(6*sqrt(-b)), True))","A",0
349,0,0,0,0.000000," ","integrate((1+x)/(-1+x)/(x**4-x**2+1)**(1/2),x)","\int \frac{x + 1}{\left(x - 1\right) \sqrt{x^{4} - x^{2} + 1}}\, dx"," ",0,"Integral((x + 1)/((x - 1)*sqrt(x**4 - x**2 + 1)), x)","F",0
350,0,0,0,0.000000," ","integrate((x**4-1)*(x**4+1)/(x**4+x**2+1)**(5/2),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \left(x^{4} + 1\right)}{\left(\left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((x - 1)*(x + 1)*(x**2 + 1)*(x**4 + 1)/((x**2 - x + 1)*(x**2 + x + 1))**(5/2), x)","F",0
351,-1,0,0,0.000000," ","integrate(x**2*(x**3-4)/(x**3-1)**(3/4)/(x**4-x**3+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
352,0,0,0,0.000000," ","integrate((1+2*x)/(x**4+2*x**3-3*x**2-4*x-4)**(1/2),x)","\int \frac{2 x + 1}{\sqrt{x^{4} + 2 x^{3} - 3 x^{2} - 4 x - 4}}\, dx"," ",0,"Integral((2*x + 1)/sqrt(x**4 + 2*x**3 - 3*x**2 - 4*x - 4), x)","F",0
353,1,53,0,0.934423," ","integrate(1/x/(a*x**4-b)**(1/2),x)","\begin{cases} \frac{i \operatorname{acosh}{\left(\frac{\sqrt{b}}{\sqrt{a} x^{2}} \right)}}{2 \sqrt{b}} & \text{for}\: \left|{\frac{b}{a x^{4}}}\right| > 1 \\- \frac{\operatorname{asin}{\left(\frac{\sqrt{b}}{\sqrt{a} x^{2}} \right)}}{2 \sqrt{b}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((I*acosh(sqrt(b)/(sqrt(a)*x**2))/(2*sqrt(b)), Abs(b/(a*x**4)) > 1), (-asin(sqrt(b)/(sqrt(a)*x**2))/(2*sqrt(b)), True))","A",0
354,0,0,0,0.000000," ","integrate((2*x**6-1)/(x**6+1)/(x**6-2*x**2+1)**(1/2),x)","\int \frac{2 x^{6} - 1}{\sqrt{\left(x - 1\right) \left(x + 1\right) \left(x^{4} + x^{2} - 1\right)} \left(x^{2} + 1\right) \left(x^{4} - x^{2} + 1\right)}\, dx"," ",0,"Integral((2*x**6 - 1)/(sqrt((x - 1)*(x + 1)*(x**4 + x**2 - 1))*(x**2 + 1)*(x**4 - x**2 + 1)), x)","F",0
355,0,0,0,0.000000," ","integrate((2*x**6+1)/(x**6-1)/(x**6-2*x**2-1)**(1/2),x)","\int \frac{2 x^{6} + 1}{\sqrt{\left(x^{2} + 1\right) \left(x^{4} - x^{2} - 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)}\, dx"," ",0,"Integral((2*x**6 + 1)/(sqrt((x**2 + 1)*(x**4 - x**2 - 1))*(x - 1)*(x + 1)*(x**2 - x + 1)*(x**2 + x + 1)), x)","F",0
356,1,53,0,0.816059," ","integrate(x**8*(x**3-1)**(1/3),x)","\frac{x^{9} \sqrt[3]{x^{3} - 1}}{10} - \frac{x^{6} \sqrt[3]{x^{3} - 1}}{70} - \frac{3 x^{3} \sqrt[3]{x^{3} - 1}}{140} - \frac{9 \sqrt[3]{x^{3} - 1}}{140}"," ",0,"x**9*(x**3 - 1)**(1/3)/10 - x**6*(x**3 - 1)**(1/3)/70 - 3*x**3*(x**3 - 1)**(1/3)/140 - 9*(x**3 - 1)**(1/3)/140","B",0
357,1,56,0,1.407170," ","integrate(x**8*(x**3+1)**(1/4),x)","\frac{4 x^{9} \sqrt[4]{x^{3} + 1}}{39} + \frac{4 x^{6} \sqrt[4]{x^{3} + 1}}{351} - \frac{32 x^{3} \sqrt[4]{x^{3} + 1}}{1755} + \frac{128 \sqrt[4]{x^{3} + 1}}{1755}"," ",0,"4*x**9*(x**3 + 1)**(1/4)/39 + 4*x**6*(x**3 + 1)**(1/4)/351 - 32*x**3*(x**3 + 1)**(1/4)/1755 + 128*(x**3 + 1)**(1/4)/1755","B",0
358,0,0,0,0.000000," ","integrate(1/x**6/(x**3-x)**(1/3),x)","\int \frac{1}{x^{6} \sqrt[3]{x \left(x - 1\right) \left(x + 1\right)}}\, dx"," ",0,"Integral(1/(x**6*(x*(x - 1)*(x + 1))**(1/3)), x)","F",0
359,0,0,0,0.000000," ","integrate(1/x**3/(x**3-x**2)**(1/3),x)","\int \frac{1}{x^{3} \sqrt[3]{x^{2} \left(x - 1\right)}}\, dx"," ",0,"Integral(1/(x**3*(x**2*(x - 1))**(1/3)), x)","F",0
360,0,0,0,0.000000," ","integrate((x**2-3)*(x**3-x**2+1)/x**6/(x**3-x)**(1/4),x)","\int \frac{\left(x^{2} - 3\right) \left(x^{3} - x^{2} + 1\right)}{x^{6} \sqrt[4]{x \left(x - 1\right) \left(x + 1\right)}}\, dx"," ",0,"Integral((x**2 - 3)*(x**3 - x**2 + 1)/(x**6*(x*(x - 1)*(x + 1))**(1/4)), x)","F",0
361,0,0,0,0.000000," ","integrate((x**2+1)/(x**2-1)/(x**3-x**2-x)**(1/2),x)","\int \frac{x^{2} + 1}{\sqrt{x \left(x^{2} - x - 1\right)} \left(x - 1\right) \left(x + 1\right)}\, dx"," ",0,"Integral((x**2 + 1)/(sqrt(x*(x**2 - x - 1))*(x - 1)*(x + 1)), x)","F",0
362,0,0,0,0.000000," ","integrate((x**3-1)/x**3/(x**3+1)/(x**4+x)**(1/4),x)","\int \frac{\left(x - 1\right) \left(x^{2} + x + 1\right)}{x^{3} \sqrt[4]{x \left(x + 1\right) \left(x^{2} - x + 1\right)} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral((x - 1)*(x**2 + x + 1)/(x**3*(x*(x + 1)*(x**2 - x + 1))**(1/4)*(x + 1)*(x**2 - x + 1)), x)","F",0
363,0,0,0,0.000000," ","integrate((x**4-x**2)**(1/4)/x**6,x)","\int \frac{\sqrt[4]{x^{2} \left(x - 1\right) \left(x + 1\right)}}{x^{6}}\, dx"," ",0,"Integral((x**2*(x - 1)*(x + 1))**(1/4)/x**6, x)","F",0
364,0,0,0,0.000000," ","integrate((-1+2*x)/(x**4-2*x**3+x+1)**(1/2),x)","\int \frac{2 x - 1}{\sqrt{x^{4} - 2 x^{3} + x + 1}}\, dx"," ",0,"Integral((2*x - 1)/sqrt(x**4 - 2*x**3 + x + 1), x)","F",0
365,0,0,0,0.000000," ","integrate((1+x)/(-1+x)/x/(x**4-x**3)**(1/4),x)","\int \frac{x + 1}{x \sqrt[4]{x^{3} \left(x - 1\right)} \left(x - 1\right)}\, dx"," ",0,"Integral((x + 1)/(x*(x**3*(x - 1))**(1/4)*(x - 1)), x)","F",0
366,0,0,0,0.000000," ","integrate((x**4+3)*(x**4-x**3-1)/x**6/(x**5-x)**(1/4),x)","\int \frac{\left(x^{4} + 3\right) \left(x^{4} - x^{3} - 1\right)}{x^{6} \sqrt[4]{x \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}}\, dx"," ",0,"Integral((x**4 + 3)*(x**4 - x**3 - 1)/(x**6*(x*(x - 1)*(x + 1)*(x**2 + 1))**(1/4)), x)","F",0
367,0,0,0,0.000000," ","integrate((x**4+3)*(x**4+x**3-1)/x**6/(x**5-x)**(1/4),x)","\int \frac{\left(x^{4} + 3\right) \left(x^{4} + x^{3} - 1\right)}{x^{6} \sqrt[4]{x \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}}\, dx"," ",0,"Integral((x**4 + 3)*(x**4 + x**3 - 1)/(x**6*(x*(x - 1)*(x + 1)*(x**2 + 1))**(1/4)), x)","F",0
368,-1,0,0,0.000000," ","integrate((3*x**4-1)/(x**4-a*x+1)/(x**5+x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
369,-1,0,0,0.000000," ","integrate((3*x**4-1)/(a*x**4+a-x)/(x**5+x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
370,-1,0,0,0.000000," ","integrate((x**6-1)**(1/2)*(x**6+2)/x**3/(x**6-x**4-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
371,-1,0,0,0.000000," ","integrate((-x**6+1)**(1/2)*(2*x**6+1)/x**2/(x**6-x**2-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
372,1,82,0,1.446674," ","integrate(1/x**4/(x**3-1)**(1/2),x)","\begin{cases} \frac{i \operatorname{acosh}{\left(\frac{1}{x^{\frac{3}{2}}} \right)}}{3} + \frac{i \sqrt{-1 + \frac{1}{x^{3}}}}{3 x^{\frac{3}{2}}} & \text{for}\: \frac{1}{\left|{x^{3}}\right|} > 1 \\- \frac{\operatorname{asin}{\left(\frac{1}{x^{\frac{3}{2}}} \right)}}{3} + \frac{1}{3 x^{\frac{3}{2}} \sqrt{1 - \frac{1}{x^{3}}}} - \frac{1}{3 x^{\frac{9}{2}} \sqrt{1 - \frac{1}{x^{3}}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((I*acosh(x**(-3/2))/3 + I*sqrt(-1 + x**(-3))/(3*x**(3/2)), 1/Abs(x**3) > 1), (-asin(x**(-3/2))/3 + 1/(3*x**(3/2)*sqrt(1 - 1/x**3)) - 1/(3*x**(9/2)*sqrt(1 - 1/x**3)), True))","A",0
373,0,0,0,0.000000," ","integrate((x**2-2*x-2)/(x**2-x+3)/(x**3-1)**(1/2),x)","\int \frac{x^{2} - 2 x - 2}{\sqrt{\left(x - 1\right) \left(x^{2} + x + 1\right)} \left(x^{2} - x + 3\right)}\, dx"," ",0,"Integral((x**2 - 2*x - 2)/(sqrt((x - 1)*(x**2 + x + 1))*(x**2 - x + 3)), x)","F",0
374,0,0,0,0.000000," ","integrate((x**2-2*x-2)/(x**2+3*x-1)/(x**3-1)**(1/2),x)","\int \frac{x^{2} - 2 x - 2}{\sqrt{\left(x - 1\right) \left(x^{2} + x + 1\right)} \left(x^{2} + 3 x - 1\right)}\, dx"," ",0,"Integral((x**2 - 2*x - 2)/(sqrt((x - 1)*(x**2 + x + 1))*(x**2 + 3*x - 1)), x)","F",0
375,1,82,0,1.287865," ","integrate((x**3-1)**(1/2)/x**4,x)","\begin{cases} \frac{i \operatorname{acosh}{\left(\frac{1}{x^{\frac{3}{2}}} \right)}}{3} + \frac{i}{3 x^{\frac{3}{2}} \sqrt{-1 + \frac{1}{x^{3}}}} - \frac{i}{3 x^{\frac{9}{2}} \sqrt{-1 + \frac{1}{x^{3}}}} & \text{for}\: \frac{1}{\left|{x^{3}}\right|} > 1 \\- \frac{\operatorname{asin}{\left(\frac{1}{x^{\frac{3}{2}}} \right)}}{3} - \frac{\sqrt{1 - \frac{1}{x^{3}}}}{3 x^{\frac{3}{2}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((I*acosh(x**(-3/2))/3 + I/(3*x**(3/2)*sqrt(-1 + x**(-3))) - I/(3*x**(9/2)*sqrt(-1 + x**(-3))), 1/Abs(x**3) > 1), (-asin(x**(-3/2))/3 - sqrt(1 - 1/x**3)/(3*x**(3/2)), True))","A",0
376,1,26,0,1.462576," ","integrate(1/x**4/(x**3+1)**(1/2),x)","\frac{\operatorname{asinh}{\left(\frac{1}{x^{\frac{3}{2}}} \right)}}{3} - \frac{\sqrt{1 + \frac{1}{x^{3}}}}{3 x^{\frac{3}{2}}}"," ",0,"asinh(x**(-3/2))/3 - sqrt(1 + x**(-3))/(3*x**(3/2))","A",0
377,0,0,0,0.000000," ","integrate((1+x)/(-2+x)/(x**3+1)**(1/2),x)","\int \frac{x + 1}{\sqrt{\left(x + 1\right) \left(x^{2} - x + 1\right)} \left(x - 2\right)}\, dx"," ",0,"Integral((x + 1)/(sqrt((x + 1)*(x**2 - x + 1))*(x - 2)), x)","F",0
378,1,27,0,1.251245," ","integrate((x**3+1)**(1/2)/x**4,x)","- \frac{\operatorname{asinh}{\left(\frac{1}{x^{\frac{3}{2}}} \right)}}{3} - \frac{\sqrt{1 + \frac{1}{x^{3}}}}{3 x^{\frac{3}{2}}}"," ",0,"-asinh(x**(-3/2))/3 - sqrt(1 + x**(-3))/(3*x**(3/2))","A",0
379,0,0,0,0.000000," ","integrate((1+x)/(-1+2*x)/(x**4+x)**(1/2),x)","\int \frac{x + 1}{\sqrt{x \left(x + 1\right) \left(x^{2} - x + 1\right)} \left(2 x - 1\right)}\, dx"," ",0,"Integral((x + 1)/(sqrt(x*(x + 1)*(x**2 - x + 1))*(2*x - 1)), x)","F",0
380,0,0,0,0.000000," ","integrate((-1+x)/(x**4-4*x**3+4*x**2-5)**(1/2),x)","\int \frac{x - 1}{\sqrt{x^{4} - 4 x^{3} + 4 x^{2} - 5}}\, dx"," ",0,"Integral((x - 1)/sqrt(x**4 - 4*x**3 + 4*x**2 - 5), x)","F",0
381,0,0,0,0.000000," ","integrate((2+x)/(x**4+8*x**3+16*x**2+13)**(1/2),x)","\int \frac{x + 2}{\sqrt{x^{4} + 8 x^{3} + 16 x^{2} + 13}}\, dx"," ",0,"Integral((x + 2)/sqrt(x**4 + 8*x**3 + 16*x**2 + 13), x)","F",0
382,1,20,0,0.862683," ","integrate(x/(a*x**4+b)**(1/2),x)","\frac{\operatorname{asinh}{\left(\frac{\sqrt{a} x^{2}}{\sqrt{b}} \right)}}{2 \sqrt{a}}"," ",0,"asinh(sqrt(a)*x**2/sqrt(b))/(2*sqrt(a))","A",0
383,1,73,0,1.584894," ","integrate(1/x**7/(x**6-1)**(1/2),x)","\begin{cases} \frac{i \operatorname{acosh}{\left(\frac{1}{x^{3}} \right)}}{6} + \frac{i \sqrt{-1 + \frac{1}{x^{6}}}}{6 x^{3}} & \text{for}\: \frac{1}{\left|{x^{6}}\right|} > 1 \\- \frac{\operatorname{asin}{\left(\frac{1}{x^{3}} \right)}}{6} + \frac{1}{6 x^{3} \sqrt{1 - \frac{1}{x^{6}}}} - \frac{1}{6 x^{9} \sqrt{1 - \frac{1}{x^{6}}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((I*acosh(x**(-3))/6 + I*sqrt(-1 + x**(-6))/(6*x**3), 1/Abs(x**6) > 1), (-asin(x**(-3))/6 + 1/(6*x**3*sqrt(1 - 1/x**6)) - 1/(6*x**9*sqrt(1 - 1/x**6)), True))","A",0
384,1,73,0,1.375037," ","integrate((x**6-1)**(1/2)/x**7,x)","\begin{cases} \frac{i \operatorname{acosh}{\left(\frac{1}{x^{3}} \right)}}{6} + \frac{i}{6 x^{3} \sqrt{-1 + \frac{1}{x^{6}}}} - \frac{i}{6 x^{9} \sqrt{-1 + \frac{1}{x^{6}}}} & \text{for}\: \frac{1}{\left|{x^{6}}\right|} > 1 \\- \frac{\operatorname{asin}{\left(\frac{1}{x^{3}} \right)}}{6} - \frac{\sqrt{1 - \frac{1}{x^{6}}}}{6 x^{3}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((I*acosh(x**(-3))/6 + I/(6*x**3*sqrt(-1 + x**(-6))) - I/(6*x**9*sqrt(-1 + x**(-6))), 1/Abs(x**6) > 1), (-asin(x**(-3))/6 - sqrt(1 - 1/x**6)/(6*x**3), True))","A",0
385,1,56,0,98.974138," ","integrate((x**6-1)/x**7/(x**6+1)**(1/2),x)","\frac{\log{\left(-1 + \frac{1}{\sqrt{x^{6} + 1}} \right)}}{4} - \frac{\log{\left(1 + \frac{1}{\sqrt{x^{6} + 1}} \right)}}{4} - \frac{1}{12 \left(1 + \frac{1}{\sqrt{x^{6} + 1}}\right)} - \frac{1}{12 \left(-1 + \frac{1}{\sqrt{x^{6} + 1}}\right)}"," ",0,"log(-1 + 1/sqrt(x**6 + 1))/4 - log(1 + 1/sqrt(x**6 + 1))/4 - 1/(12*(1 + 1/sqrt(x**6 + 1))) - 1/(12*(-1 + 1/sqrt(x**6 + 1)))","B",0
386,1,24,0,1.351026," ","integrate((x**6+1)**(1/2)/x**7,x)","- \frac{\operatorname{asinh}{\left(\frac{1}{x^{3}} \right)}}{6} - \frac{\sqrt{1 + \frac{1}{x^{6}}}}{6 x^{3}}"," ",0,"-asinh(x**(-3))/6 - sqrt(1 + x**(-6))/(6*x**3)","A",0
387,1,139,0,6.021408," ","integrate((x**6+2)*(x**12+x**8-2*x**6+1)/x**10/(x**6-1)**(3/4),x)","\frac{x^{9} e^{- \frac{3 i \pi}{4}} {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{3}{2} \\ \frac{5}{2} \end{matrix}\middle| {x^{6}} \right)}}{9} + \frac{x^{5} e^{- \frac{3 i \pi}{4}} \Gamma\left(\frac{5}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{5}{6} \\ \frac{11}{6} \end{matrix}\middle| {x^{6}} \right)}}{6 \Gamma\left(\frac{11}{6}\right)} - \frac{e^{\frac{i \pi}{4}} \Gamma\left(- \frac{1}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{6}, \frac{3}{4} \\ \frac{5}{6} \end{matrix}\middle| {x^{6}} \right)}}{3 x \Gamma\left(\frac{5}{6}\right)} - \frac{e^{\frac{i \pi}{4}} {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{3}{4} \\ \frac{1}{2} \end{matrix}\middle| {x^{6}} \right)}}{x^{3}} + \frac{2 e^{\frac{i \pi}{4}} {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{2}, \frac{3}{4} \\ - \frac{1}{2} \end{matrix}\middle| {x^{6}} \right)}}{9 x^{9}}"," ",0,"x**9*exp(-3*I*pi/4)*hyper((3/4, 3/2), (5/2,), x**6)/9 + x**5*exp(-3*I*pi/4)*gamma(5/6)*hyper((3/4, 5/6), (11/6,), x**6)/(6*gamma(11/6)) - exp(I*pi/4)*gamma(-1/6)*hyper((-1/6, 3/4), (5/6,), x**6)/(3*x*gamma(5/6)) - exp(I*pi/4)*hyper((-1/2, 3/4), (1/2,), x**6)/x**3 + 2*exp(I*pi/4)*hyper((-3/2, 3/4), (-1/2,), x**6)/(9*x**9)","C",0
388,0,0,0,0.000000," ","integrate((2*x**2+2*x-1)/(3*x**2-x+1)/(x**4-x)**(1/2),x)","\int \frac{2 x^{2} + 2 x - 1}{\sqrt{x \left(x - 1\right) \left(x^{2} + x + 1\right)} \left(3 x^{2} - x + 1\right)}\, dx"," ",0,"Integral((2*x**2 + 2*x - 1)/(sqrt(x*(x - 1)*(x**2 + x + 1))*(3*x**2 - x + 1)), x)","F",0
389,0,0,0,0.000000," ","integrate((x**3+1)/x**3/(x**3-1)/(x**4-x)**(1/4),x)","\int \frac{\left(x + 1\right) \left(x^{2} - x + 1\right)}{x^{3} \sqrt[4]{x \left(x - 1\right) \left(x^{2} + x + 1\right)} \left(x - 1\right) \left(x^{2} + x + 1\right)}\, dx"," ",0,"Integral((x + 1)*(x**2 - x + 1)/(x**3*(x*(x - 1)*(x**2 + x + 1))**(1/4)*(x - 1)*(x**2 + x + 1)), x)","F",0
390,0,0,0,0.000000," ","integrate((2*x**2-2*x-1)/(x**2+3*x-1)/(x**4+x)**(1/2),x)","\int \frac{2 x^{2} - 2 x - 1}{\sqrt{x \left(x + 1\right) \left(x^{2} - x + 1\right)} \left(x^{2} + 3 x - 1\right)}\, dx"," ",0,"Integral((2*x**2 - 2*x - 1)/(sqrt(x*(x + 1)*(x**2 - x + 1))*(x**2 + 3*x - 1)), x)","F",0
391,0,0,0,0.000000," ","integrate((x**2-1)/x**2/(x**2+1)/(x**4+x**2)**(1/4),x)","\int \frac{\left(x - 1\right) \left(x + 1\right)}{x^{2} \sqrt[4]{x^{2} \left(x^{2} + 1\right)} \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x - 1)*(x + 1)/(x**2*(x**2*(x**2 + 1))**(1/4)*(x**2 + 1)), x)","F",0
392,0,0,0,0.000000," ","integrate((-1+2*x)/(x**4-2*x**3+9*x**2-8*x)**(1/2),x)","\int \frac{2 x - 1}{\sqrt{x \left(x - 1\right) \left(x^{2} - x + 8\right)}}\, dx"," ",0,"Integral((2*x - 1)/sqrt(x*(x - 1)*(x**2 - x + 8)), x)","F",0
393,1,44,0,12.218364," ","integrate((-a+2*x)/(-a*x+x**2+b-1)/(-a*x+x**2+b)**(1/4),x)","\log{\left(\sqrt[4]{- a x + b + x^{2}} - 1 \right)} - \log{\left(\sqrt[4]{- a x + b + x^{2}} + 1 \right)} + 2 \operatorname{atan}{\left(\sqrt[4]{- a x + b + x^{2}} \right)}"," ",0,"log((-a*x + b + x**2)**(1/4) - 1) - log((-a*x + b + x**2)**(1/4) + 1) + 2*atan((-a*x + b + x**2)**(1/4))","A",0
394,1,563,0,3.342386," ","integrate((x**3-4)*(x**3-1)**(2/3)/x**12,x)","\begin{cases} \frac{\left(-1 + \frac{1}{x^{3}}\right)^{\frac{2}{3}} e^{\frac{2 i \pi}{3}} \Gamma\left(- \frac{8}{3}\right)}{3 \Gamma\left(- \frac{2}{3}\right)} + \frac{2 \left(-1 + \frac{1}{x^{3}}\right)^{\frac{2}{3}} e^{\frac{2 i \pi}{3}} \Gamma\left(- \frac{8}{3}\right)}{9 x^{3} \Gamma\left(- \frac{2}{3}\right)} - \frac{5 \left(-1 + \frac{1}{x^{3}}\right)^{\frac{2}{3}} e^{\frac{2 i \pi}{3}} \Gamma\left(- \frac{8}{3}\right)}{9 x^{6} \Gamma\left(- \frac{2}{3}\right)} & \text{for}\: \frac{1}{\left|{x^{3}}\right|} > 1 \\\frac{3 x^{6} \left(1 - \frac{1}{x^{3}}\right)^{\frac{2}{3}} \Gamma\left(- \frac{8}{3}\right)}{9 x^{6} \Gamma\left(- \frac{2}{3}\right) - 9 x^{3} \Gamma\left(- \frac{2}{3}\right)} - \frac{x^{3} \left(1 - \frac{1}{x^{3}}\right)^{\frac{2}{3}} \Gamma\left(- \frac{8}{3}\right)}{9 x^{6} \Gamma\left(- \frac{2}{3}\right) - 9 x^{3} \Gamma\left(- \frac{2}{3}\right)} + \frac{5 \left(1 - \frac{1}{x^{3}}\right)^{\frac{2}{3}} \Gamma\left(- \frac{8}{3}\right)}{9 x^{9} \Gamma\left(- \frac{2}{3}\right) - 9 x^{6} \Gamma\left(- \frac{2}{3}\right)} - \frac{7 \left(1 - \frac{1}{x^{3}}\right)^{\frac{2}{3}} \Gamma\left(- \frac{8}{3}\right)}{9 x^{6} \Gamma\left(- \frac{2}{3}\right) - 9 x^{3} \Gamma\left(- \frac{2}{3}\right)} & \text{otherwise} \end{cases} - 4 \left(\begin{cases} \frac{2 \left(-1 + \frac{1}{x^{3}}\right)^{\frac{2}{3}} e^{- \frac{i \pi}{3}} \Gamma\left(- \frac{11}{3}\right)}{3 \Gamma\left(- \frac{2}{3}\right)} + \frac{4 \left(-1 + \frac{1}{x^{3}}\right)^{\frac{2}{3}} e^{- \frac{i \pi}{3}} \Gamma\left(- \frac{11}{3}\right)}{9 x^{3} \Gamma\left(- \frac{2}{3}\right)} + \frac{10 \left(-1 + \frac{1}{x^{3}}\right)^{\frac{2}{3}} e^{- \frac{i \pi}{3}} \Gamma\left(- \frac{11}{3}\right)}{27 x^{6} \Gamma\left(- \frac{2}{3}\right)} - \frac{40 \left(-1 + \frac{1}{x^{3}}\right)^{\frac{2}{3}} e^{- \frac{i \pi}{3}} \Gamma\left(- \frac{11}{3}\right)}{27 x^{9} \Gamma\left(- \frac{2}{3}\right)} & \text{for}\: \frac{1}{\left|{x^{3}}\right|} > 1 \\- \frac{2 \left(1 - \frac{1}{x^{3}}\right)^{\frac{2}{3}} \Gamma\left(- \frac{11}{3}\right)}{3 \Gamma\left(- \frac{2}{3}\right)} - \frac{4 \left(1 - \frac{1}{x^{3}}\right)^{\frac{2}{3}} \Gamma\left(- \frac{11}{3}\right)}{9 x^{3} \Gamma\left(- \frac{2}{3}\right)} - \frac{10 \left(1 - \frac{1}{x^{3}}\right)^{\frac{2}{3}} \Gamma\left(- \frac{11}{3}\right)}{27 x^{6} \Gamma\left(- \frac{2}{3}\right)} + \frac{40 \left(1 - \frac{1}{x^{3}}\right)^{\frac{2}{3}} \Gamma\left(- \frac{11}{3}\right)}{27 x^{9} \Gamma\left(- \frac{2}{3}\right)} & \text{otherwise} \end{cases}\right)"," ",0,"Piecewise(((-1 + x**(-3))**(2/3)*exp(2*I*pi/3)*gamma(-8/3)/(3*gamma(-2/3)) + 2*(-1 + x**(-3))**(2/3)*exp(2*I*pi/3)*gamma(-8/3)/(9*x**3*gamma(-2/3)) - 5*(-1 + x**(-3))**(2/3)*exp(2*I*pi/3)*gamma(-8/3)/(9*x**6*gamma(-2/3)), 1/Abs(x**3) > 1), (3*x**6*(1 - 1/x**3)**(2/3)*gamma(-8/3)/(9*x**6*gamma(-2/3) - 9*x**3*gamma(-2/3)) - x**3*(1 - 1/x**3)**(2/3)*gamma(-8/3)/(9*x**6*gamma(-2/3) - 9*x**3*gamma(-2/3)) + 5*(1 - 1/x**3)**(2/3)*gamma(-8/3)/(9*x**9*gamma(-2/3) - 9*x**6*gamma(-2/3)) - 7*(1 - 1/x**3)**(2/3)*gamma(-8/3)/(9*x**6*gamma(-2/3) - 9*x**3*gamma(-2/3)), True)) - 4*Piecewise((2*(-1 + x**(-3))**(2/3)*exp(-I*pi/3)*gamma(-11/3)/(3*gamma(-2/3)) + 4*(-1 + x**(-3))**(2/3)*exp(-I*pi/3)*gamma(-11/3)/(9*x**3*gamma(-2/3)) + 10*(-1 + x**(-3))**(2/3)*exp(-I*pi/3)*gamma(-11/3)/(27*x**6*gamma(-2/3)) - 40*(-1 + x**(-3))**(2/3)*exp(-I*pi/3)*gamma(-11/3)/(27*x**9*gamma(-2/3)), 1/Abs(x**3) > 1), (-2*(1 - 1/x**3)**(2/3)*gamma(-11/3)/(3*gamma(-2/3)) - 4*(1 - 1/x**3)**(2/3)*gamma(-11/3)/(9*x**3*gamma(-2/3)) - 10*(1 - 1/x**3)**(2/3)*gamma(-11/3)/(27*x**6*gamma(-2/3)) + 40*(1 - 1/x**3)**(2/3)*gamma(-11/3)/(27*x**9*gamma(-2/3)), True))","C",0
395,0,0,0,0.000000," ","integrate((x**2+2*x-2)/(x**2-3*x-1)/(x**3+1)**(1/2),x)","\int \frac{x^{2} + 2 x - 2}{\sqrt{\left(x + 1\right) \left(x^{2} - x + 1\right)} \left(x^{2} - 3 x - 1\right)}\, dx"," ",0,"Integral((x**2 + 2*x - 2)/(sqrt((x + 1)*(x**2 - x + 1))*(x**2 - 3*x - 1)), x)","F",0
396,0,0,0,0.000000," ","integrate((x**2+2*x-2)/(2*x**2-x+3)/(x**3+1)**(1/2),x)","\int \frac{x^{2} + 2 x - 2}{\sqrt{\left(x + 1\right) \left(x^{2} - x + 1\right)} \left(2 x^{2} - x + 3\right)}\, dx"," ",0,"Integral((x**2 + 2*x - 2)/(sqrt((x + 1)*(x**2 - x + 1))*(2*x**2 - x + 3)), x)","F",0
397,0,0,0,0.000000," ","integrate((x**2+2*x-2)/(3*x**2-4*x+2)/(x**3+1)**(1/2),x)","\int \frac{x^{2} + 2 x - 2}{\sqrt{\left(x + 1\right) \left(x^{2} - x + 1\right)} \left(3 x^{2} - 4 x + 2\right)}\, dx"," ",0,"Integral((x**2 + 2*x - 2)/(sqrt((x + 1)*(x**2 - x + 1))*(3*x**2 - 4*x + 2)), x)","F",0
398,1,199,0,2.695975," ","integrate((x**3-1)*(x**3+1)**(1/3)/x**11,x)","- \frac{2 \sqrt[3]{1 + \frac{1}{x^{3}}} \Gamma\left(- \frac{10}{3}\right)}{3 \Gamma\left(- \frac{1}{3}\right)} + \frac{\sqrt[3]{x^{3} + 1} \Gamma\left(- \frac{7}{3}\right)}{3 x \Gamma\left(- \frac{1}{3}\right)} + \frac{2 \sqrt[3]{1 + \frac{1}{x^{3}}} \Gamma\left(- \frac{10}{3}\right)}{9 x^{3} \Gamma\left(- \frac{1}{3}\right)} - \frac{\sqrt[3]{x^{3} + 1} \Gamma\left(- \frac{7}{3}\right)}{9 x^{4} \Gamma\left(- \frac{1}{3}\right)} - \frac{4 \sqrt[3]{1 + \frac{1}{x^{3}}} \Gamma\left(- \frac{10}{3}\right)}{27 x^{6} \Gamma\left(- \frac{1}{3}\right)} - \frac{4 \sqrt[3]{x^{3} + 1} \Gamma\left(- \frac{7}{3}\right)}{9 x^{7} \Gamma\left(- \frac{1}{3}\right)} - \frac{28 \sqrt[3]{1 + \frac{1}{x^{3}}} \Gamma\left(- \frac{10}{3}\right)}{27 x^{9} \Gamma\left(- \frac{1}{3}\right)}"," ",0,"-2*(1 + x**(-3))**(1/3)*gamma(-10/3)/(3*gamma(-1/3)) + (x**3 + 1)**(1/3)*gamma(-7/3)/(3*x*gamma(-1/3)) + 2*(1 + x**(-3))**(1/3)*gamma(-10/3)/(9*x**3*gamma(-1/3)) - (x**3 + 1)**(1/3)*gamma(-7/3)/(9*x**4*gamma(-1/3)) - 4*(1 + x**(-3))**(1/3)*gamma(-10/3)/(27*x**6*gamma(-1/3)) - 4*(x**3 + 1)**(1/3)*gamma(-7/3)/(9*x**7*gamma(-1/3)) - 28*(1 + x**(-3))**(1/3)*gamma(-10/3)/(27*x**9*gamma(-1/3))","B",0
399,1,563,0,2.819605," ","integrate((x**3-1)**(1/3)*(x**3+1)/x**11,x)","\begin{cases} \frac{\sqrt[3]{-1 + \frac{1}{x^{3}}} e^{\frac{i \pi}{3}} \Gamma\left(- \frac{7}{3}\right)}{3 \Gamma\left(- \frac{1}{3}\right)} + \frac{\sqrt[3]{-1 + \frac{1}{x^{3}}} e^{\frac{i \pi}{3}} \Gamma\left(- \frac{7}{3}\right)}{9 x^{3} \Gamma\left(- \frac{1}{3}\right)} - \frac{4 \sqrt[3]{-1 + \frac{1}{x^{3}}} e^{\frac{i \pi}{3}} \Gamma\left(- \frac{7}{3}\right)}{9 x^{6} \Gamma\left(- \frac{1}{3}\right)} & \text{for}\: \frac{1}{\left|{x^{3}}\right|} > 1 \\\frac{3 x^{6} \sqrt[3]{1 - \frac{1}{x^{3}}} \Gamma\left(- \frac{7}{3}\right)}{9 x^{6} \Gamma\left(- \frac{1}{3}\right) - 9 x^{3} \Gamma\left(- \frac{1}{3}\right)} - \frac{2 x^{3} \sqrt[3]{1 - \frac{1}{x^{3}}} \Gamma\left(- \frac{7}{3}\right)}{9 x^{6} \Gamma\left(- \frac{1}{3}\right) - 9 x^{3} \Gamma\left(- \frac{1}{3}\right)} + \frac{4 \sqrt[3]{1 - \frac{1}{x^{3}}} \Gamma\left(- \frac{7}{3}\right)}{9 x^{9} \Gamma\left(- \frac{1}{3}\right) - 9 x^{6} \Gamma\left(- \frac{1}{3}\right)} - \frac{5 \sqrt[3]{1 - \frac{1}{x^{3}}} \Gamma\left(- \frac{7}{3}\right)}{9 x^{6} \Gamma\left(- \frac{1}{3}\right) - 9 x^{3} \Gamma\left(- \frac{1}{3}\right)} & \text{otherwise} \end{cases} + \begin{cases} \frac{2 \sqrt[3]{-1 + \frac{1}{x^{3}}} e^{- \frac{2 i \pi}{3}} \Gamma\left(- \frac{10}{3}\right)}{3 \Gamma\left(- \frac{1}{3}\right)} + \frac{2 \sqrt[3]{-1 + \frac{1}{x^{3}}} e^{- \frac{2 i \pi}{3}} \Gamma\left(- \frac{10}{3}\right)}{9 x^{3} \Gamma\left(- \frac{1}{3}\right)} + \frac{4 \sqrt[3]{-1 + \frac{1}{x^{3}}} e^{- \frac{2 i \pi}{3}} \Gamma\left(- \frac{10}{3}\right)}{27 x^{6} \Gamma\left(- \frac{1}{3}\right)} - \frac{28 \sqrt[3]{-1 + \frac{1}{x^{3}}} e^{- \frac{2 i \pi}{3}} \Gamma\left(- \frac{10}{3}\right)}{27 x^{9} \Gamma\left(- \frac{1}{3}\right)} & \text{for}\: \frac{1}{\left|{x^{3}}\right|} > 1 \\- \frac{2 \sqrt[3]{1 - \frac{1}{x^{3}}} \Gamma\left(- \frac{10}{3}\right)}{3 \Gamma\left(- \frac{1}{3}\right)} - \frac{2 \sqrt[3]{1 - \frac{1}{x^{3}}} \Gamma\left(- \frac{10}{3}\right)}{9 x^{3} \Gamma\left(- \frac{1}{3}\right)} - \frac{4 \sqrt[3]{1 - \frac{1}{x^{3}}} \Gamma\left(- \frac{10}{3}\right)}{27 x^{6} \Gamma\left(- \frac{1}{3}\right)} + \frac{28 \sqrt[3]{1 - \frac{1}{x^{3}}} \Gamma\left(- \frac{10}{3}\right)}{27 x^{9} \Gamma\left(- \frac{1}{3}\right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-1 + x**(-3))**(1/3)*exp(I*pi/3)*gamma(-7/3)/(3*gamma(-1/3)) + (-1 + x**(-3))**(1/3)*exp(I*pi/3)*gamma(-7/3)/(9*x**3*gamma(-1/3)) - 4*(-1 + x**(-3))**(1/3)*exp(I*pi/3)*gamma(-7/3)/(9*x**6*gamma(-1/3)), 1/Abs(x**3) > 1), (3*x**6*(1 - 1/x**3)**(1/3)*gamma(-7/3)/(9*x**6*gamma(-1/3) - 9*x**3*gamma(-1/3)) - 2*x**3*(1 - 1/x**3)**(1/3)*gamma(-7/3)/(9*x**6*gamma(-1/3) - 9*x**3*gamma(-1/3)) + 4*(1 - 1/x**3)**(1/3)*gamma(-7/3)/(9*x**9*gamma(-1/3) - 9*x**6*gamma(-1/3)) - 5*(1 - 1/x**3)**(1/3)*gamma(-7/3)/(9*x**6*gamma(-1/3) - 9*x**3*gamma(-1/3)), True)) + Piecewise((2*(-1 + x**(-3))**(1/3)*exp(-2*I*pi/3)*gamma(-10/3)/(3*gamma(-1/3)) + 2*(-1 + x**(-3))**(1/3)*exp(-2*I*pi/3)*gamma(-10/3)/(9*x**3*gamma(-1/3)) + 4*(-1 + x**(-3))**(1/3)*exp(-2*I*pi/3)*gamma(-10/3)/(27*x**6*gamma(-1/3)) - 28*(-1 + x**(-3))**(1/3)*exp(-2*I*pi/3)*gamma(-10/3)/(27*x**9*gamma(-1/3)), 1/Abs(x**3) > 1), (-2*(1 - 1/x**3)**(1/3)*gamma(-10/3)/(3*gamma(-1/3)) - 2*(1 - 1/x**3)**(1/3)*gamma(-10/3)/(9*x**3*gamma(-1/3)) - 4*(1 - 1/x**3)**(1/3)*gamma(-10/3)/(27*x**6*gamma(-1/3)) + 28*(1 - 1/x**3)**(1/3)*gamma(-10/3)/(27*x**9*gamma(-1/3)), True))","C",0
400,0,0,0,0.000000," ","integrate((3*x**3+x**2-2*x-1)/(x**3-3*x**2+3*x-1)**(1/4),x)","\int \frac{3 x^{3} + x^{2} - 2 x - 1}{\sqrt[4]{\left(x - 1\right)^{3}}}\, dx"," ",0,"Integral((3*x**3 + x**2 - 2*x - 1)/((x - 1)**3)**(1/4), x)","F",0
401,0,0,0,0.000000," ","integrate((x**3-3*x**2+3*x-1)**(1/4)*(3*x**3+x**2-2*x-1),x)","\int \left(3 x^{3} + x^{2} - 2 x - 1\right) \sqrt[4]{\left(x - 1\right)^{3}}\, dx"," ",0,"Integral((3*x**3 + x**2 - 2*x - 1)*((x - 1)**3)**(1/4), x)","F",0
402,-1,0,0,0.000000," ","integrate((a*x**3-2*b)*(a*x**3+b)**(1/2)/x**2/(a*x**3-x**2+b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
403,1,27,0,0.716638," ","integrate(1/(x**4+1)**(1/4),x)","\frac{x \Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{4}, \frac{1}{4} \\ \frac{5}{4} \end{matrix}\middle| {x^{4} e^{i \pi}} \right)}}{4 \Gamma\left(\frac{5}{4}\right)}"," ",0,"x*gamma(1/4)*hyper((1/4, 1/4), (5/4,), x**4*exp_polar(I*pi))/(4*gamma(5/4))","C",0
404,0,0,0,0.000000," ","integrate((2*x**2-2*x-1)/(4*x**2+2*x+1)/(x**4+x)**(1/2),x)","\int \frac{2 x^{2} - 2 x - 1}{\sqrt{x \left(x + 1\right) \left(x^{2} - x + 1\right)} \left(4 x^{2} + 2 x + 1\right)}\, dx"," ",0,"Integral((2*x**2 - 2*x - 1)/(sqrt(x*(x + 1)*(x**2 - x + 1))*(4*x**2 + 2*x + 1)), x)","F",0
405,0,0,0,0.000000," ","integrate((x**4+x)**(1/2),x)","\int \sqrt{x^{4} + x}\, dx"," ",0,"Integral(sqrt(x**4 + x), x)","F",0
406,0,0,0,0.000000," ","integrate(1/(x**4-x**2)**(1/4),x)","\int \frac{1}{\sqrt[4]{x^{4} - x^{2}}}\, dx"," ",0,"Integral((x**4 - x**2)**(-1/4), x)","F",0
407,0,0,0,0.000000," ","integrate((a*x**2+2*b)/(a*x**2+b)**(1/4)/(x**4-a*x**2-b),x)","\int \frac{a x^{2} + 2 b}{\sqrt[4]{a x^{2} + b} \left(- a x^{2} - b + x^{4}\right)}\, dx"," ",0,"Integral((a*x**2 + 2*b)/((a*x**2 + b)**(1/4)*(-a*x**2 - b + x**4)), x)","F",0
408,0,0,0,0.000000," ","integrate((-1+2*x)/(x**4-2*x**3+3*x**2-2*x-2)**(1/2),x)","\int \frac{2 x - 1}{\sqrt{x^{4} - 2 x^{3} + 3 x^{2} - 2 x - 2}}\, dx"," ",0,"Integral((2*x - 1)/sqrt(x**4 - 2*x**3 + 3*x**2 - 2*x - 2), x)","F",0
409,0,0,0,0.000000," ","integrate((-1+2*x)/(x**4-2*x**3+5*x**2-4*x-4)**(1/2),x)","\int \frac{2 x - 1}{\sqrt{x^{4} - 2 x^{3} + 5 x^{2} - 4 x - 4}}\, dx"," ",0,"Integral((2*x - 1)/sqrt(x**4 - 2*x**3 + 5*x**2 - 4*x - 4), x)","F",0
410,0,0,0,0.000000," ","integrate(1/x**4/(x**4+x**3)**(1/4),x)","\int \frac{1}{x^{4} \sqrt[4]{x^{3} \left(x + 1\right)}}\, dx"," ",0,"Integral(1/(x**4*(x**3*(x + 1))**(1/4)), x)","F",0
411,1,53,0,0.925519," ","integrate(x/(a*x**4-b)**(1/2),x)","\begin{cases} \frac{\operatorname{acosh}{\left(\frac{\sqrt{a} x^{2}}{\sqrt{b}} \right)}}{2 \sqrt{a}} & \text{for}\: \left|{\frac{a x^{4}}{b}}\right| > 1 \\- \frac{i \operatorname{asin}{\left(\frac{\sqrt{a} x^{2}}{\sqrt{b}} \right)}}{2 \sqrt{a}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((acosh(sqrt(a)*x**2/sqrt(b))/(2*sqrt(a)), Abs(a*x**4/b) > 1), (-I*asin(sqrt(a)*x**2/sqrt(b))/(2*sqrt(a)), True))","A",0
412,1,260,0,3.944687," ","integrate((x**3+1)**(2/3)*(2*x**6-x**3+1)/x**12,x)","\frac{2 \left(1 + \frac{1}{x^{3}}\right)^{\frac{2}{3}} \Gamma\left(- \frac{5}{3}\right)}{3 \Gamma\left(- \frac{2}{3}\right)} + \frac{2 \left(1 + \frac{1}{x^{3}}\right)^{\frac{2}{3}} \Gamma\left(- \frac{11}{3}\right)}{3 \Gamma\left(- \frac{2}{3}\right)} - \frac{\left(x^{3} + 1\right)^{\frac{2}{3}} \Gamma\left(- \frac{8}{3}\right)}{3 x^{2} \Gamma\left(- \frac{2}{3}\right)} + \frac{2 \left(1 + \frac{1}{x^{3}}\right)^{\frac{2}{3}} \Gamma\left(- \frac{5}{3}\right)}{3 x^{3} \Gamma\left(- \frac{2}{3}\right)} - \frac{4 \left(1 + \frac{1}{x^{3}}\right)^{\frac{2}{3}} \Gamma\left(- \frac{11}{3}\right)}{9 x^{3} \Gamma\left(- \frac{2}{3}\right)} + \frac{2 \left(x^{3} + 1\right)^{\frac{2}{3}} \Gamma\left(- \frac{8}{3}\right)}{9 x^{5} \Gamma\left(- \frac{2}{3}\right)} + \frac{10 \left(1 + \frac{1}{x^{3}}\right)^{\frac{2}{3}} \Gamma\left(- \frac{11}{3}\right)}{27 x^{6} \Gamma\left(- \frac{2}{3}\right)} + \frac{5 \left(x^{3} + 1\right)^{\frac{2}{3}} \Gamma\left(- \frac{8}{3}\right)}{9 x^{8} \Gamma\left(- \frac{2}{3}\right)} + \frac{40 \left(1 + \frac{1}{x^{3}}\right)^{\frac{2}{3}} \Gamma\left(- \frac{11}{3}\right)}{27 x^{9} \Gamma\left(- \frac{2}{3}\right)}"," ",0,"2*(1 + x**(-3))**(2/3)*gamma(-5/3)/(3*gamma(-2/3)) + 2*(1 + x**(-3))**(2/3)*gamma(-11/3)/(3*gamma(-2/3)) - (x**3 + 1)**(2/3)*gamma(-8/3)/(3*x**2*gamma(-2/3)) + 2*(1 + x**(-3))**(2/3)*gamma(-5/3)/(3*x**3*gamma(-2/3)) - 4*(1 + x**(-3))**(2/3)*gamma(-11/3)/(9*x**3*gamma(-2/3)) + 2*(x**3 + 1)**(2/3)*gamma(-8/3)/(9*x**5*gamma(-2/3)) + 10*(1 + x**(-3))**(2/3)*gamma(-11/3)/(27*x**6*gamma(-2/3)) + 5*(x**3 + 1)**(2/3)*gamma(-8/3)/(9*x**8*gamma(-2/3)) + 40*(1 + x**(-3))**(2/3)*gamma(-11/3)/(27*x**9*gamma(-2/3))","B",0
413,-1,0,0,0.000000," ","integrate((x**4+3)*(-x**5+x)**(1/2)/(x**8-x**6-2*x**4+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
414,1,60,0,2.728519," ","integrate((x**16-1)/x**8/(x**4-1)**(1/2),x)","- \frac{i x^{9} \Gamma\left(\frac{9}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{2}, \frac{9}{4} \\ \frac{13}{4} \end{matrix}\middle| {x^{4}} \right)}}{4 \Gamma\left(\frac{13}{4}\right)} + \frac{i \Gamma\left(- \frac{7}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{7}{4}, \frac{1}{2} \\ - \frac{3}{4} \end{matrix}\middle| {x^{4}} \right)}}{4 x^{7} \Gamma\left(- \frac{3}{4}\right)}"," ",0,"-I*x**9*gamma(9/4)*hyper((1/2, 9/4), (13/4,), x**4)/(4*gamma(13/4)) + I*gamma(-7/4)*hyper((-7/4, 1/2), (-3/4,), x**4)/(4*x**7*gamma(-3/4))","C",0
415,1,56,0,4.910492," ","integrate(((-1+x)**(3/2)+(1+x)**(3/2))/(-1+x)**(3/2)/(1+x)**(3/2),x)","- \frac{2 x \sqrt{x - 1}}{x^{2} - 1} - \frac{2 x \sqrt{x + 1}}{x^{2} - 1} - \frac{2 \sqrt{x - 1}}{x^{2} - 1} + \frac{2 \sqrt{x + 1}}{x^{2} - 1}"," ",0,"-2*x*sqrt(x - 1)/(x**2 - 1) - 2*x*sqrt(x + 1)/(x**2 - 1) - 2*sqrt(x - 1)/(x**2 - 1) + 2*sqrt(x + 1)/(x**2 - 1)","B",0
416,0,0,0,0.000000," ","integrate((1+x)/(-1+x)/(x**3+x**2+x)**(1/2),x)","\int \frac{x + 1}{\sqrt{x \left(x^{2} + x + 1\right)} \left(x - 1\right)}\, dx"," ",0,"Integral((x + 1)/(sqrt(x*(x**2 + x + 1))*(x - 1)), x)","F",0
417,0,0,0,0.000000," ","integrate((x**2-1)/(x**2-x+1)/(x**3+x**2+x)**(1/2),x)","\int \frac{\left(x - 1\right) \left(x + 1\right)}{\sqrt{x \left(x^{2} + x + 1\right)} \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral((x - 1)*(x + 1)/(sqrt(x*(x**2 + x + 1))*(x**2 - x + 1)), x)","F",0
418,0,0,0,0.000000," ","integrate((-1+x)/(1+x)/(x**4+1)**(1/2),x)","\int \frac{x - 1}{\left(x + 1\right) \sqrt{x^{4} + 1}}\, dx"," ",0,"Integral((x - 1)/((x + 1)*sqrt(x**4 + 1)), x)","F",0
419,0,0,0,0.000000," ","integrate((1+x)/(-1+x)/(x**4+1)**(1/2),x)","\int \frac{x + 1}{\left(x - 1\right) \sqrt{x^{4} + 1}}\, dx"," ",0,"Integral((x + 1)/((x - 1)*sqrt(x**4 + 1)), x)","F",0
420,0,0,0,0.000000," ","integrate((1+x)/(-1+x)/(x**4+x**2+1)**(1/2),x)","\int \frac{x + 1}{\sqrt{\left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)} \left(x - 1\right)}\, dx"," ",0,"Integral((x + 1)/(sqrt((x**2 - x + 1)*(x**2 + x + 1))*(x - 1)), x)","F",0
421,0,0,0,0.000000," ","integrate((x**2+1)/(x**2-1)/(x**4+x**3-x**2-x+1)**(1/2),x)","\int \frac{x^{2} + 1}{\left(x - 1\right) \left(x + 1\right) \sqrt{x^{4} + x^{3} - x^{2} - x + 1}}\, dx"," ",0,"Integral((x**2 + 1)/((x - 1)*(x + 1)*sqrt(x**4 + x**3 - x**2 - x + 1)), x)","F",0
422,0,0,0,0.000000," ","integrate(x/(x**4+2*x**3-3*x**2-11*x+11)**(1/2),x)","\int \frac{x}{\sqrt{\left(x - 1\right) \left(x^{3} + 3 x^{2} - 11\right)}}\, dx"," ",0,"Integral(x/sqrt((x - 1)*(x**3 + 3*x**2 - 11)), x)","F",0
423,0,0,0,0.000000," ","integrate((1+x)/(x**4+2*x**3-3*x**2-5*x+2)**(1/2),x)","\int \frac{x + 1}{\sqrt{\left(x + 2\right) \left(x^{3} - 3 x + 1\right)}}\, dx"," ",0,"Integral((x + 1)/sqrt((x + 2)*(x**3 - 3*x + 1)), x)","F",0
424,0,0,0,0.000000," ","integrate(x/(x**4+2*x**3-3*x**2+3*x-3)**(1/2),x)","\int \frac{x}{\sqrt{\left(x - 1\right) \left(x^{3} + 3 x^{2} + 3\right)}}\, dx"," ",0,"Integral(x/sqrt((x - 1)*(x**3 + 3*x**2 + 3)), x)","F",0
425,-1,0,0,0.000000," ","integrate((-x**6+1)**(1/2)*(x**6+2)/x**3/(x**6+x**4-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
426,1,41,0,0.865257," ","integrate(x**(1/2)/(x**2-2)**(3/4),x)","\frac{\sqrt[4]{2} x^{\frac{3}{2}} e^{- \frac{3 i \pi}{4}} \Gamma\left(\frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{3}{4} \\ \frac{7}{4} \end{matrix}\middle| {\frac{x^{2}}{2}} \right)}}{4 \Gamma\left(\frac{7}{4}\right)}"," ",0,"2**(1/4)*x**(3/2)*exp(-3*I*pi/4)*gamma(3/4)*hyper((3/4, 3/4), (7/4,), x**2/2)/(4*gamma(7/4))","C",0
427,1,56,0,11.810070," ","integrate((a+x)/(2*a*x+x**2+2*b-1)/(2*a*x+x**2+2*b)**(1/4),x)","\frac{\log{\left(\sqrt[4]{2 a x + 2 b + x^{2}} - 1 \right)}}{2} - \frac{\log{\left(\sqrt[4]{2 a x + 2 b + x^{2}} + 1 \right)}}{2} + \operatorname{atan}{\left(\sqrt[4]{2 a x + 2 b + x^{2}} \right)}"," ",0,"log((2*a*x + 2*b + x**2)**(1/4) - 1)/2 - log((2*a*x + 2*b + x**2)**(1/4) + 1)/2 + atan((2*a*x + 2*b + x**2)**(1/4))","A",0
428,0,0,0,0.000000," ","integrate(1/(a*x**2+b*x+c)**(1/2),x)","\int \frac{1}{\sqrt{a x^{2} + b x + c}}\, dx"," ",0,"Integral(1/sqrt(a*x**2 + b*x + c), x)","F",0
429,1,68,0,1.605569," ","integrate(x**11*(x**3-1)**(1/3),x)","\frac{x^{12} \sqrt[3]{x^{3} - 1}}{13} - \frac{x^{9} \sqrt[3]{x^{3} - 1}}{130} - \frac{9 x^{6} \sqrt[3]{x^{3} - 1}}{910} - \frac{27 x^{3} \sqrt[3]{x^{3} - 1}}{1820} - \frac{81 \sqrt[3]{x^{3} - 1}}{1820}"," ",0,"x**12*(x**3 - 1)**(1/3)/13 - x**9*(x**3 - 1)**(1/3)/130 - 9*x**6*(x**3 - 1)**(1/3)/910 - 27*x**3*(x**3 - 1)**(1/3)/1820 - 81*(x**3 - 1)**(1/3)/1820","B",0
430,0,0,0,0.000000," ","integrate((x**2-2*x-1)/(3*x**2+2*x+1)/(x**3-x)**(1/2),x)","\int \frac{x^{2} - 2 x - 1}{\sqrt{x \left(x - 1\right) \left(x + 1\right)} \left(3 x^{2} + 2 x + 1\right)}\, dx"," ",0,"Integral((x**2 - 2*x - 1)/(sqrt(x*(x - 1)*(x + 1))*(3*x**2 + 2*x + 1)), x)","F",0
431,0,0,0,0.000000," ","integrate((x**2-1)*(-x**4-4*x**3-5*x**2-4*x-1)**(1/2)/(x**2+x+1)/(x**2+3*x+1)**2,x)","\int \frac{\sqrt{- \left(x^{2} + x + 1\right) \left(x^{2} + 3 x + 1\right)} \left(x - 1\right) \left(x + 1\right)}{\left(x^{2} + x + 1\right) \left(x^{2} + 3 x + 1\right)^{2}}\, dx"," ",0,"Integral(sqrt(-(x**2 + x + 1)*(x**2 + 3*x + 1))*(x - 1)*(x + 1)/((x**2 + x + 1)*(x**2 + 3*x + 1)**2), x)","F",0
432,1,19,0,1.525193," ","integrate((x**4-1)/x**3/(x**4+1)**(1/2),x)","\frac{\operatorname{asinh}{\left(x^{2} \right)}}{2} + \frac{\sqrt{x^{4} + 1}}{2 x^{2}}"," ",0,"asinh(x**2)/2 + sqrt(x**4 + 1)/(2*x**2)","A",0
433,0,0,0,0.000000," ","integrate((x**3-1)/x**6/(x**3+1)/(x**4+x)**(1/4),x)","\int \frac{\left(x - 1\right) \left(x^{2} + x + 1\right)}{x^{6} \sqrt[4]{x \left(x + 1\right) \left(x^{2} - x + 1\right)} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral((x - 1)*(x**2 + x + 1)/(x**6*(x*(x + 1)*(x**2 - x + 1))**(1/4)*(x + 1)*(x**2 - x + 1)), x)","F",0
434,0,0,0,0.000000," ","integrate((x**4+x)**(1/2)/x**3,x)","\int \frac{\sqrt{x \left(x + 1\right) \left(x^{2} - x + 1\right)}}{x^{3}}\, dx"," ",0,"Integral(sqrt(x*(x + 1)*(x**2 - x + 1))/x**3, x)","F",0
435,0,0,0,0.000000," ","integrate(1/x**8/(x**4+x**2)**(1/4),x)","\int \frac{1}{x^{8} \sqrt[4]{x^{2} \left(x^{2} + 1\right)}}\, dx"," ",0,"Integral(1/(x**8*(x**2*(x**2 + 1))**(1/4)), x)","F",0
436,0,0,0,0.000000," ","integrate((1-2*x)/(x**4-2*x**3-4*x**2+5*x+5)**(1/2),x)","- \int \frac{2 x}{\sqrt{x^{4} - 2 x^{3} - 4 x^{2} + 5 x + 5}}\, dx - \int \left(- \frac{1}{\sqrt{x^{4} - 2 x^{3} - 4 x^{2} + 5 x + 5}}\right)\, dx"," ",0,"-Integral(2*x/sqrt(x**4 - 2*x**3 - 4*x**2 + 5*x + 5), x) - Integral(-1/sqrt(x**4 - 2*x**3 - 4*x**2 + 5*x + 5), x)","F",0
437,0,0,0,0.000000," ","integrate(1/x**4/(x**4-x**3)**(1/4),x)","\int \frac{1}{x^{4} \sqrt[4]{x^{3} \left(x - 1\right)}}\, dx"," ",0,"Integral(1/(x**4*(x**3*(x - 1))**(1/4)), x)","F",0
438,0,0,0,0.000000," ","integrate((1+2*x)/(x**4+2*x**3-2*x**2-3*x-4)**(1/2),x)","\int \frac{2 x + 1}{\sqrt{\left(x^{2} + x - 4\right) \left(x^{2} + x + 1\right)}}\, dx"," ",0,"Integral((2*x + 1)/sqrt((x**2 + x - 4)*(x**2 + x + 1)), x)","F",0
439,-1,0,0,0.000000," ","integrate((a*x**3+4*b)/(a*x**3+b)**(1/4)/(-a*x**3+x**4-b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
440,1,61,0,1.558268," ","integrate(x**8/(x**6-1)**(1/2),x)","\begin{cases} \frac{x^{3} \sqrt{x^{6} - 1}}{6} + \frac{\operatorname{acosh}{\left(x^{3} \right)}}{6} & \text{for}\: \left|{x^{6}}\right| > 1 \\- \frac{i x^{9}}{6 \sqrt{1 - x^{6}}} + \frac{i x^{3}}{6 \sqrt{1 - x^{6}}} - \frac{i \operatorname{asin}{\left(x^{3} \right)}}{6} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**3*sqrt(x**6 - 1)/6 + acosh(x**3)/6, Abs(x**6) > 1), (-I*x**9/(6*sqrt(1 - x**6)) + I*x**3/(6*sqrt(1 - x**6)) - I*asin(x**3)/6, True))","A",0
441,1,76,0,1.057103," ","integrate((x**6-1)**(1/2)/x**4,x)","\begin{cases} - \frac{x^{3}}{3 \sqrt{x^{6} - 1}} + \frac{\operatorname{acosh}{\left(x^{3} \right)}}{3} + \frac{1}{3 x^{3} \sqrt{x^{6} - 1}} & \text{for}\: \left|{x^{6}}\right| > 1 \\\frac{i x^{3}}{3 \sqrt{1 - x^{6}}} - \frac{i \operatorname{asin}{\left(x^{3} \right)}}{3} - \frac{i}{3 x^{3} \sqrt{1 - x^{6}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-x**3/(3*sqrt(x**6 - 1)) + acosh(x**3)/3 + 1/(3*x**3*sqrt(x**6 - 1)), Abs(x**6) > 1), (I*x**3/(3*sqrt(1 - x**6)) - I*asin(x**3)/3 - I/(3*x**3*sqrt(1 - x**6)), True))","A",0
442,1,60,0,1.297395," ","integrate(x**2*(x**6-1)**(1/2),x)","\begin{cases} \frac{x^{9}}{6 \sqrt{x^{6} - 1}} - \frac{x^{3}}{6 \sqrt{x^{6} - 1}} - \frac{\operatorname{acosh}{\left(x^{3} \right)}}{6} & \text{for}\: \left|{x^{6}}\right| > 1 \\\frac{i x^{3} \sqrt{1 - x^{6}}}{6} + \frac{i \operatorname{asin}{\left(x^{3} \right)}}{6} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**9/(6*sqrt(x**6 - 1)) - x**3/(6*sqrt(x**6 - 1)) - acosh(x**3)/6, Abs(x**6) > 1), (I*x**3*sqrt(1 - x**6)/6 + I*asin(x**3)/6, True))","A",0
443,1,19,0,1.523324," ","integrate(x**8/(x**6+1)**(1/2),x)","\frac{x^{3} \sqrt{x^{6} + 1}}{6} - \frac{\operatorname{asinh}{\left(x^{3} \right)}}{6}"," ",0,"x**3*sqrt(x**6 + 1)/6 - asinh(x**3)/6","A",0
444,1,34,0,0.981815," ","integrate((x**6+1)**(1/2)/x**4,x)","- \frac{x^{3}}{3 \sqrt{x^{6} + 1}} + \frac{\operatorname{asinh}{\left(x^{3} \right)}}{3} - \frac{1}{3 x^{3} \sqrt{x^{6} + 1}}"," ",0,"-x**3/(3*sqrt(x**6 + 1)) + asinh(x**3)/3 - 1/(3*x**3*sqrt(x**6 + 1))","A",0
445,0,0,0,0.000000," ","integrate((x**6+1)/x**6/(x**3+1)/(x**4+x)**(1/4),x)","\int \frac{\left(x^{2} + 1\right) \left(x^{4} - x^{2} + 1\right)}{x^{6} \sqrt[4]{x \left(x + 1\right) \left(x^{2} - x + 1\right)} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral((x**2 + 1)*(x**4 - x**2 + 1)/(x**6*(x*(x + 1)*(x**2 - x + 1))**(1/4)*(x + 1)*(x**2 - x + 1)), x)","F",0
446,0,0,0,0.000000," ","integrate(x*(x**6+x)**(1/2),x)","\int x \sqrt{x \left(x + 1\right) \left(x^{4} - x^{3} + x^{2} - x + 1\right)}\, dx"," ",0,"Integral(x*sqrt(x*(x + 1)*(x**4 - x**3 + x**2 - x + 1)), x)","F",0
447,-1,0,0,0.000000," ","integrate((a*c*x**6-2*b*c)/(a*x**6+b)**(1/4)/(-c**4*x**4+a*x**6+b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
448,1,42,0,0.340244," ","integrate(1/(x+(x**2+1)**(1/2))**(1/2),x)","\frac{4 x}{3 \sqrt{x + \sqrt{x^{2} + 1}}} + \frac{2 \sqrt{x^{2} + 1}}{3 \sqrt{x + \sqrt{x^{2} + 1}}}"," ",0,"4*x/(3*sqrt(x + sqrt(x**2 + 1))) + 2*sqrt(x**2 + 1)/(3*sqrt(x + sqrt(x**2 + 1)))","A",0
449,1,37,0,0.812599," ","integrate((x**2+1)**(1/4)/x,x)","- \frac{\sqrt{x} \Gamma\left(- \frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{4}, - \frac{1}{4} \\ \frac{3}{4} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{2}}} \right)}}{2 \Gamma\left(\frac{3}{4}\right)}"," ",0,"-sqrt(x)*gamma(-1/4)*hyper((-1/4, -1/4), (3/4,), exp_polar(I*pi)/x**2)/(2*gamma(3/4))","C",0
450,1,138,0,2.277889," ","integrate((x**3-1)**(1/2)/x**7,x)","\begin{cases} \frac{i \operatorname{acosh}{\left(\frac{1}{x^{\frac{3}{2}}} \right)}}{12} - \frac{i}{12 x^{\frac{3}{2}} \sqrt{-1 + \frac{1}{x^{3}}}} + \frac{i}{4 x^{\frac{9}{2}} \sqrt{-1 + \frac{1}{x^{3}}}} - \frac{i}{6 x^{\frac{15}{2}} \sqrt{-1 + \frac{1}{x^{3}}}} & \text{for}\: \frac{1}{\left|{x^{3}}\right|} > 1 \\- \frac{\operatorname{asin}{\left(\frac{1}{x^{\frac{3}{2}}} \right)}}{12} + \frac{1}{12 x^{\frac{3}{2}} \sqrt{1 - \frac{1}{x^{3}}}} - \frac{1}{4 x^{\frac{9}{2}} \sqrt{1 - \frac{1}{x^{3}}}} + \frac{1}{6 x^{\frac{15}{2}} \sqrt{1 - \frac{1}{x^{3}}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((I*acosh(x**(-3/2))/12 - I/(12*x**(3/2)*sqrt(-1 + x**(-3))) + I/(4*x**(9/2)*sqrt(-1 + x**(-3))) - I/(6*x**(15/2)*sqrt(-1 + x**(-3))), 1/Abs(x**3) > 1), (-asin(x**(-3/2))/12 + 1/(12*x**(3/2)*sqrt(1 - 1/x**3)) - 1/(4*x**(9/2)*sqrt(1 - 1/x**3)) + 1/(6*x**(15/2)*sqrt(1 - 1/x**3)), True))","B",0
451,0,0,0,0.000000," ","integrate((a*x**2-b)/(a*x**2+c*x+b)/(a*x**3+b*x)**(1/2),x)","\int \frac{a x^{2} - b}{\sqrt{x \left(a x^{2} + b\right)} \left(a x^{2} + b + c x\right)}\, dx"," ",0,"Integral((a*x**2 - b)/(sqrt(x*(a*x**2 + b))*(a*x**2 + b + c*x)), x)","F",0
452,0,0,0,0.000000," ","integrate((-1+x)/(x**4-4*x**3+6*x**2-x-2)**(1/2),x)","\int \frac{x - 1}{\sqrt{\left(x - 1\right) \left(x^{3} - 3 x^{2} + 3 x + 2\right)}}\, dx"," ",0,"Integral((x - 1)/sqrt((x - 1)*(x**3 - 3*x**2 + 3*x + 2)), x)","F",0
453,1,124,0,2.581338," ","integrate((x**6-1)**(1/2)/x**13,x)","\begin{cases} \frac{i \operatorname{acosh}{\left(\frac{1}{x^{3}} \right)}}{24} - \frac{i}{24 x^{3} \sqrt{-1 + \frac{1}{x^{6}}}} + \frac{i}{8 x^{9} \sqrt{-1 + \frac{1}{x^{6}}}} - \frac{i}{12 x^{15} \sqrt{-1 + \frac{1}{x^{6}}}} & \text{for}\: \frac{1}{\left|{x^{6}}\right|} > 1 \\- \frac{\operatorname{asin}{\left(\frac{1}{x^{3}} \right)}}{24} + \frac{1}{24 x^{3} \sqrt{1 - \frac{1}{x^{6}}}} - \frac{1}{8 x^{9} \sqrt{1 - \frac{1}{x^{6}}}} + \frac{1}{12 x^{15} \sqrt{1 - \frac{1}{x^{6}}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((I*acosh(x**(-3))/24 - I/(24*x**3*sqrt(-1 + x**(-6))) + I/(8*x**9*sqrt(-1 + x**(-6))) - I/(12*x**15*sqrt(-1 + x**(-6))), 1/Abs(x**6) > 1), (-asin(x**(-3))/24 + 1/(24*x**3*sqrt(1 - 1/x**6)) - 1/(8*x**9*sqrt(1 - 1/x**6)) + 1/(12*x**15*sqrt(1 - 1/x**6)), True))","A",0
454,0,0,0,0.000000," ","integrate((2*x**4-2*x**2-1)/(x**4-3*x**2+2)/(x**6+1)**(1/2),x)","\int \frac{2 x^{4} - 2 x^{2} - 1}{\sqrt{\left(x^{2} + 1\right) \left(x^{4} - x^{2} + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} - 2\right)}\, dx"," ",0,"Integral((2*x**4 - 2*x**2 - 1)/(sqrt((x**2 + 1)*(x**4 - x**2 + 1))*(x - 1)*(x + 1)*(x**2 - 2)), x)","F",0
455,0,0,0,0.000000," ","integrate((k*x-1)/(k*x+1)/((1-x)*x*(-k**2*x+1))**(1/2),x)","\int \frac{k x - 1}{\sqrt{x \left(x - 1\right) \left(k^{2} x - 1\right)} \left(k x + 1\right)}\, dx"," ",0,"Integral((k*x - 1)/(sqrt(x*(x - 1)*(k**2*x - 1))*(k*x + 1)), x)","F",0
456,0,0,0,0.000000," ","integrate((k*x+1)/(k*x-1)/((1-x)*x*(-k**2*x+1))**(1/2),x)","\int \frac{k x + 1}{\sqrt{x \left(x - 1\right) \left(k^{2} x - 1\right)} \left(k x - 1\right)}\, dx"," ",0,"Integral((k*x + 1)/(sqrt(x*(x - 1)*(k**2*x - 1))*(k*x - 1)), x)","F",0
457,0,0,0,0.000000," ","integrate((x**2-1)*(x**4+1)**(1/2)/x**2/(x**2+1),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \sqrt{x^{4} + 1}}{x^{2} \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x - 1)*(x + 1)*sqrt(x**4 + 1)/(x**2*(x**2 + 1)), x)","F",0
458,0,0,0,0.000000," ","integrate((x**3+1)/x**6/(x**3-1)/(x**4-x)**(1/4),x)","\int \frac{\left(x + 1\right) \left(x^{2} - x + 1\right)}{x^{6} \sqrt[4]{x \left(x - 1\right) \left(x^{2} + x + 1\right)} \left(x - 1\right) \left(x^{2} + x + 1\right)}\, dx"," ",0,"Integral((x + 1)*(x**2 - x + 1)/(x**6*(x*(x - 1)*(x**2 + x + 1))**(1/4)*(x - 1)*(x**2 + x + 1)), x)","F",0
459,0,0,0,0.000000," ","integrate((x**4-x)**(1/2),x)","\int \sqrt{x^{4} - x}\, dx"," ",0,"Integral(sqrt(x**4 - x), x)","F",0
460,0,0,0,0.000000," ","integrate(1/x**8/(x**4-x**2)**(1/4),x)","\int \frac{1}{x^{8} \sqrt[4]{x^{2} \left(x - 1\right) \left(x + 1\right)}}\, dx"," ",0,"Integral(1/(x**8*(x**2*(x - 1)*(x + 1))**(1/4)), x)","F",0
461,0,0,0,0.000000," ","integrate((-1+x)/(x**4-4*x**3+2*x**2+4*x-1)**(1/2),x)","\int \frac{x - 1}{\sqrt{x^{4} - 4 x^{3} + 2 x^{2} + 4 x - 1}}\, dx"," ",0,"Integral((x - 1)/sqrt(x**4 - 4*x**3 + 2*x**2 + 4*x - 1), x)","F",0
462,0,0,0,0.000000," ","integrate((x**4-x**3)**(1/4)/(-1+x)/x,x)","\int \frac{\sqrt[4]{x^{3} \left(x - 1\right)}}{x \left(x - 1\right)}\, dx"," ",0,"Integral((x**3*(x - 1))**(1/4)/(x*(x - 1)), x)","F",0
463,1,20,0,4.039074," ","integrate((x**3-2)/x/(x**6-1)**(1/2),x)","- \frac{2 \left(\begin{cases} \operatorname{acos}{\left(\frac{1}{x^{3}} \right)} & \text{for}\: x > -1 \wedge x < 1 \end{cases}\right)}{3} + \frac{\operatorname{acosh}{\left(x^{3} \right)}}{3}"," ",0,"-2*Piecewise((acos(x**(-3)), (x > -1) & (x < 1)))/3 + acosh(x**3)/3","A",0
464,1,19,0,6.823215," ","integrate((x**3+1)/x/(x**6-1)**(1/2),x)","\frac{\begin{cases} \operatorname{acos}{\left(\frac{1}{x^{3}} \right)} & \text{for}\: x > -1 \wedge x < 1 \end{cases}}{3} + \frac{\operatorname{acosh}{\left(x^{3} \right)}}{3}"," ",0,"Piecewise((acos(x**(-3)), (x > -1) & (x < 1)))/3 + acosh(x**3)/3","A",0
465,1,20,0,3.988066," ","integrate((2*x**3-1)/x/(x**6-1)**(1/2),x)","- \frac{\begin{cases} \operatorname{acos}{\left(\frac{1}{x^{3}} \right)} & \text{for}\: x > -1 \wedge x < 1 \end{cases}}{3} + \frac{2 \operatorname{acosh}{\left(x^{3} \right)}}{3}"," ",0,"-Piecewise((acos(x**(-3)), (x > -1) & (x < 1)))/3 + 2*acosh(x**3)/3","A",0
466,1,20,0,7.050855," ","integrate((2*x**3+1)/x/(x**6-1)**(1/2),x)","\frac{\begin{cases} \operatorname{acos}{\left(\frac{1}{x^{3}} \right)} & \text{for}\: x > -1 \wedge x < 1 \end{cases}}{3} + \frac{2 \operatorname{acosh}{\left(x^{3} \right)}}{3}"," ",0,"Piecewise((acos(x**(-3)), (x > -1) & (x < 1)))/3 + 2*acosh(x**3)/3","A",0
467,1,20,0,6.995025," ","integrate((4*x**3+1)/x/(x**6-1)**(1/2),x)","\frac{\begin{cases} \operatorname{acos}{\left(\frac{1}{x^{3}} \right)} & \text{for}\: x > -1 \wedge x < 1 \end{cases}}{3} + \frac{4 \operatorname{acosh}{\left(x^{3} \right)}}{3}"," ",0,"Piecewise((acos(x**(-3)), (x > -1) & (x < 1)))/3 + 4*acosh(x**3)/3","A",0
468,0,0,0,0.000000," ","integrate((x**6+1)/x**6/(x**3-1)/(x**4-x)**(1/4),x)","\int \frac{\left(x^{2} + 1\right) \left(x^{4} - x^{2} + 1\right)}{x^{6} \sqrt[4]{x \left(x - 1\right) \left(x^{2} + x + 1\right)} \left(x - 1\right) \left(x^{2} + x + 1\right)}\, dx"," ",0,"Integral((x**2 + 1)*(x**4 - x**2 + 1)/(x**6*(x*(x - 1)*(x**2 + x + 1))**(1/4)*(x - 1)*(x**2 + x + 1)), x)","F",0
469,0,0,0,0.000000," ","integrate(x*(5*a*x**3+8*b)/(a*x**3+b)**(1/4)/(x**8-a*x**3-b),x)","\int \frac{x \left(5 a x^{3} + 8 b\right)}{\sqrt[4]{a x^{3} + b} \left(- a x^{3} - b + x^{8}\right)}\, dx"," ",0,"Integral(x*(5*a*x**3 + 8*b)/((a*x**3 + b)**(1/4)*(-a*x**3 - b + x**8)), x)","F",0
470,1,42,0,0.285689," ","integrate((x+(x**2+1)**(1/2))**(1/2),x)","\frac{4 x \sqrt{x + \sqrt{x^{2} + 1}}}{3} - \frac{2 \sqrt{x + \sqrt{x^{2} + 1}} \sqrt{x^{2} + 1}}{3}"," ",0,"4*x*sqrt(x + sqrt(x**2 + 1))/3 - 2*sqrt(x + sqrt(x**2 + 1))*sqrt(x**2 + 1)/3","A",0
471,-1,0,0,0.000000," ","integrate((a*b-x**2)/(x*(-a+x)*(-b+x))**(1/2)/(a*b-(a+b+d)*x+x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
472,-1,0,0,0.000000," ","integrate((a*b-x**2)/(x*(-a+x)*(-b+x))**(1/2)/(a*b*d-(a*d+b*d+1)*x+d*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
473,0,0,0,0.000000," ","integrate((k*x**2-1)/(k*x**2+1)/((-x**2+1)*(-k**2*x**2+1))**(1/2),x)","\int \frac{k x^{2} - 1}{\sqrt{\left(x - 1\right) \left(x + 1\right) \left(k x - 1\right) \left(k x + 1\right)} \left(k x^{2} + 1\right)}\, dx"," ",0,"Integral((k*x**2 - 1)/(sqrt((x - 1)*(x + 1)*(k*x - 1)*(k*x + 1))*(k*x**2 + 1)), x)","F",0
474,0,0,0,0.000000," ","integrate((k*x**2+1)/(k*x**2-1)/((-x**2+1)*(-k**2*x**2+1))**(1/2),x)","\int \frac{k x^{2} + 1}{\sqrt{\left(x - 1\right) \left(x + 1\right) \left(k x - 1\right) \left(k x + 1\right)} \left(k x^{2} - 1\right)}\, dx"," ",0,"Integral((k*x**2 + 1)/(sqrt((x - 1)*(x + 1)*(k*x - 1)*(k*x + 1))*(k*x**2 - 1)), x)","F",0
475,0,0,0,0.000000," ","integrate((k**2*x**2-2*k**2*x+1)/x/((1-x)*x*(-k**2*x+1))**(1/2)/(k**2*x-1),x)","\int \frac{k^{2} x^{2} - 2 k^{2} x + 1}{x \sqrt{x \left(x - 1\right) \left(k^{2} x - 1\right)} \left(k^{2} x - 1\right)}\, dx"," ",0,"Integral((k**2*x**2 - 2*k**2*x + 1)/(x*sqrt(x*(x - 1)*(k**2*x - 1))*(k**2*x - 1)), x)","F",0
476,1,138,0,2.425789," ","integrate(1/x**7/(x**3-1)**(1/2),x)","\begin{cases} \frac{i \operatorname{acosh}{\left(\frac{1}{x^{\frac{3}{2}}} \right)}}{4} - \frac{i}{4 x^{\frac{3}{2}} \sqrt{-1 + \frac{1}{x^{3}}}} + \frac{i}{12 x^{\frac{9}{2}} \sqrt{-1 + \frac{1}{x^{3}}}} + \frac{i}{6 x^{\frac{15}{2}} \sqrt{-1 + \frac{1}{x^{3}}}} & \text{for}\: \frac{1}{\left|{x^{3}}\right|} > 1 \\- \frac{\operatorname{asin}{\left(\frac{1}{x^{\frac{3}{2}}} \right)}}{4} + \frac{1}{4 x^{\frac{3}{2}} \sqrt{1 - \frac{1}{x^{3}}}} - \frac{1}{12 x^{\frac{9}{2}} \sqrt{1 - \frac{1}{x^{3}}}} - \frac{1}{6 x^{\frac{15}{2}} \sqrt{1 - \frac{1}{x^{3}}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((I*acosh(x**(-3/2))/4 - I/(4*x**(3/2)*sqrt(-1 + x**(-3))) + I/(12*x**(9/2)*sqrt(-1 + x**(-3))) + I/(6*x**(15/2)*sqrt(-1 + x**(-3))), 1/Abs(x**3) > 1), (-asin(x**(-3/2))/4 + 1/(4*x**(3/2)*sqrt(1 - 1/x**3)) - 1/(12*x**(9/2)*sqrt(1 - 1/x**3)) - 1/(6*x**(15/2)*sqrt(1 - 1/x**3)), True))","B",0
477,1,65,0,2.486596," ","integrate(1/x**7/(x**3+1)**(1/2),x)","- \frac{\operatorname{asinh}{\left(\frac{1}{x^{\frac{3}{2}}} \right)}}{4} + \frac{1}{4 x^{\frac{3}{2}} \sqrt{1 + \frac{1}{x^{3}}}} + \frac{1}{12 x^{\frac{9}{2}} \sqrt{1 + \frac{1}{x^{3}}}} - \frac{1}{6 x^{\frac{15}{2}} \sqrt{1 + \frac{1}{x^{3}}}}"," ",0,"-asinh(x**(-3/2))/4 + 1/(4*x**(3/2)*sqrt(1 + x**(-3))) + 1/(12*x**(9/2)*sqrt(1 + x**(-3))) - 1/(6*x**(15/2)*sqrt(1 + x**(-3)))","B",0
478,1,65,0,2.263371," ","integrate((x**3+1)**(1/2)/x**7,x)","\frac{\operatorname{asinh}{\left(\frac{1}{x^{\frac{3}{2}}} \right)}}{12} - \frac{1}{12 x^{\frac{3}{2}} \sqrt{1 + \frac{1}{x^{3}}}} - \frac{1}{4 x^{\frac{9}{2}} \sqrt{1 + \frac{1}{x^{3}}}} - \frac{1}{6 x^{\frac{15}{2}} \sqrt{1 + \frac{1}{x^{3}}}}"," ",0,"asinh(x**(-3/2))/12 - 1/(12*x**(3/2)*sqrt(1 + x**(-3))) - 1/(4*x**(9/2)*sqrt(1 + x**(-3))) - 1/(6*x**(15/2)*sqrt(1 + x**(-3)))","B",0
479,1,63,0,45.160595," ","integrate((x**3+1)/x**7/(x**3-1)**(1/2),x)","- \frac{1 - \frac{1}{x^{3} - 1}}{12 \left(1 + \frac{1}{x^{3} - 1}\right)^{2} \sqrt{x^{3} - 1}} - \frac{7 \operatorname{atan}{\left(\frac{1}{\sqrt{x^{3} - 1}} \right)}}{12} + \frac{2}{3 \left(1 + \frac{1}{x^{3} - 1}\right) \sqrt{x^{3} - 1}}"," ",0,"-(1 - 1/(x**3 - 1))/(12*(1 + 1/(x**3 - 1))**2*sqrt(x**3 - 1)) - 7*atan(1/sqrt(x**3 - 1))/12 + 2/(3*(1 + 1/(x**3 - 1))*sqrt(x**3 - 1))","A",0
480,0,0,0,0.000000," ","integrate((x**3-1)**(1/2)*(x**3+2)/x**2/(2*x**3-4*x**2-2),x)","\frac{\int \frac{2 \sqrt{x^{3} - 1}}{x^{5} - 2 x^{4} - x^{2}}\, dx + \int \frac{x^{3} \sqrt{x^{3} - 1}}{x^{5} - 2 x^{4} - x^{2}}\, dx}{2}"," ",0,"(Integral(2*sqrt(x**3 - 1)/(x**5 - 2*x**4 - x**2), x) + Integral(x**3*sqrt(x**3 - 1)/(x**5 - 2*x**4 - x**2), x))/2","F",0
481,1,66,0,0.473173," ","integrate(x**5*(a*x**3+b)**(1/2),x)","\begin{cases} \frac{2 x^{6} \sqrt{a x^{3} + b}}{15} + \frac{2 b x^{3} \sqrt{a x^{3} + b}}{45 a} - \frac{4 b^{2} \sqrt{a x^{3} + b}}{45 a^{2}} & \text{for}\: a \neq 0 \\\frac{\sqrt{b} x^{6}}{6} & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*x**6*sqrt(a*x**3 + b)/15 + 2*b*x**3*sqrt(a*x**3 + b)/(45*a) - 4*b**2*sqrt(a*x**3 + b)/(45*a**2), Ne(a, 0)), (sqrt(b)*x**6/6, True))","A",0
482,1,178,0,4.812476," ","integrate((x**4-3)*(x**4+1)**(1/3)*(x**4+x**3+1)/x**8,x)","- \frac{x^{\frac{4}{3}} \Gamma\left(- \frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, - \frac{1}{3} \\ \frac{2}{3} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{4}}} \right)}}{4 \Gamma\left(\frac{2}{3}\right)} + \frac{x \Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, \frac{1}{4} \\ \frac{5}{4} \end{matrix}\middle| {x^{4} e^{i \pi}} \right)}}{4 \Gamma\left(\frac{5}{4}\right)} - \frac{\Gamma\left(- \frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, - \frac{1}{3} \\ \frac{1}{4} \end{matrix}\middle| {x^{4} e^{i \pi}} \right)}}{2 x^{3} \Gamma\left(\frac{1}{4}\right)} - \frac{3 \Gamma\left(- \frac{7}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{7}{4}, - \frac{1}{3} \\ - \frac{3}{4} \end{matrix}\middle| {x^{4} e^{i \pi}} \right)}}{4 x^{7} \Gamma\left(- \frac{3}{4}\right)} + \frac{3 \Gamma\left(\frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, \frac{2}{3} \\ \frac{5}{3} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{4}}} \right)}}{4 x^{\frac{8}{3}} \Gamma\left(\frac{5}{3}\right)}"," ",0,"-x**(4/3)*gamma(-1/3)*hyper((-1/3, -1/3), (2/3,), exp_polar(I*pi)/x**4)/(4*gamma(2/3)) + x*gamma(1/4)*hyper((-1/3, 1/4), (5/4,), x**4*exp_polar(I*pi))/(4*gamma(5/4)) - gamma(-3/4)*hyper((-3/4, -1/3), (1/4,), x**4*exp_polar(I*pi))/(2*x**3*gamma(1/4)) - 3*gamma(-7/4)*hyper((-7/4, -1/3), (-3/4,), x**4*exp_polar(I*pi))/(4*x**7*gamma(-3/4)) + 3*gamma(2/3)*hyper((-1/3, 2/3), (5/3,), exp_polar(I*pi)/x**4)/(4*x**(8/3)*gamma(5/3))","C",0
483,1,180,0,5.455799," ","integrate((x**4-3)*(x**4+1)**(2/3)*(x**4+x**3+1)/x**9,x)","- \frac{x^{\frac{8}{3}} \Gamma\left(- \frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, - \frac{2}{3} \\ \frac{1}{3} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{4}}} \right)}}{4 \Gamma\left(\frac{1}{3}\right)} + \frac{\Gamma\left(- \frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, - \frac{1}{4} \\ \frac{3}{4} \end{matrix}\middle| {x^{4} e^{i \pi}} \right)}}{4 x \Gamma\left(\frac{3}{4}\right)} - \frac{3 \Gamma\left(- \frac{5}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{5}{4}, - \frac{2}{3} \\ - \frac{1}{4} \end{matrix}\middle| {x^{4} e^{i \pi}} \right)}}{4 x^{5} \Gamma\left(- \frac{1}{4}\right)} + \frac{\Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{4}}} \right)}}{2 x^{\frac{4}{3}} \Gamma\left(\frac{4}{3}\right)} + \frac{3 \Gamma\left(\frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, \frac{4}{3} \\ \frac{7}{3} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{4}}} \right)}}{4 x^{\frac{16}{3}} \Gamma\left(\frac{7}{3}\right)}"," ",0,"-x**(8/3)*gamma(-2/3)*hyper((-2/3, -2/3), (1/3,), exp_polar(I*pi)/x**4)/(4*gamma(1/3)) + gamma(-1/4)*hyper((-2/3, -1/4), (3/4,), x**4*exp_polar(I*pi))/(4*x*gamma(3/4)) - 3*gamma(-5/4)*hyper((-5/4, -2/3), (-1/4,), x**4*exp_polar(I*pi))/(4*x**5*gamma(-1/4)) + gamma(1/3)*hyper((-2/3, 1/3), (4/3,), exp_polar(I*pi)/x**4)/(2*x**(4/3)*gamma(4/3)) + 3*gamma(4/3)*hyper((-2/3, 4/3), (7/3,), exp_polar(I*pi)/x**4)/(4*x**(16/3)*gamma(7/3))","C",0
484,1,187,0,5.952039," ","integrate((x**4-1)**(2/3)*(x**4+3)*(2*x**4-x**3-2)/x**9,x)","- \frac{x^{\frac{8}{3}} \Gamma\left(- \frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, - \frac{2}{3} \\ \frac{1}{3} \end{matrix}\middle| {\frac{e^{2 i \pi}}{x^{4}}} \right)}}{2 \Gamma\left(\frac{1}{3}\right)} + \frac{e^{- \frac{i \pi}{3}} \Gamma\left(- \frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, - \frac{1}{4} \\ \frac{3}{4} \end{matrix}\middle| {x^{4}} \right)}}{4 x \Gamma\left(\frac{3}{4}\right)} + \frac{3 e^{- \frac{i \pi}{3}} \Gamma\left(- \frac{5}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{5}{4}, - \frac{2}{3} \\ - \frac{1}{4} \end{matrix}\middle| {x^{4}} \right)}}{4 x^{5} \Gamma\left(- \frac{1}{4}\right)} - \frac{\Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {\frac{e^{2 i \pi}}{x^{4}}} \right)}}{x^{\frac{4}{3}} \Gamma\left(\frac{4}{3}\right)} + \frac{3 \Gamma\left(\frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, \frac{4}{3} \\ \frac{7}{3} \end{matrix}\middle| {\frac{e^{2 i \pi}}{x^{4}}} \right)}}{2 x^{\frac{16}{3}} \Gamma\left(\frac{7}{3}\right)}"," ",0,"-x**(8/3)*gamma(-2/3)*hyper((-2/3, -2/3), (1/3,), exp_polar(2*I*pi)/x**4)/(2*gamma(1/3)) + exp(-I*pi/3)*gamma(-1/4)*hyper((-2/3, -1/4), (3/4,), x**4)/(4*x*gamma(3/4)) + 3*exp(-I*pi/3)*gamma(-5/4)*hyper((-5/4, -2/3), (-1/4,), x**4)/(4*x**5*gamma(-1/4)) - gamma(1/3)*hyper((-2/3, 1/3), (4/3,), exp_polar(2*I*pi)/x**4)/(x**(4/3)*gamma(4/3)) + 3*gamma(4/3)*hyper((-2/3, 4/3), (7/3,), exp_polar(2*I*pi)/x**4)/(2*x**(16/3)*gamma(7/3))","C",0
485,1,199,0,6.700965," ","integrate((x**5-1)**(3/4)*(x**5+4)*(x**5-x**4-1)/x**12,x)","- \frac{e^{- \frac{i \pi}{4}} \Gamma\left(- \frac{1}{5}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, - \frac{1}{5} \\ \frac{4}{5} \end{matrix}\middle| {x^{5}} \right)}}{5 x \Gamma\left(\frac{4}{5}\right)} + \frac{e^{- \frac{i \pi}{4}} \Gamma\left(- \frac{2}{5}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, - \frac{2}{5} \\ \frac{3}{5} \end{matrix}\middle| {x^{5}} \right)}}{5 x^{2} \Gamma\left(\frac{3}{5}\right)} - \frac{3 e^{- \frac{i \pi}{4}} \Gamma\left(- \frac{6}{5}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{6}{5}, - \frac{3}{4} \\ - \frac{1}{5} \end{matrix}\middle| {x^{5}} \right)}}{5 x^{6} \Gamma\left(- \frac{1}{5}\right)} + \frac{4 e^{- \frac{i \pi}{4}} \Gamma\left(- \frac{7}{5}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{7}{5}, - \frac{3}{4} \\ - \frac{2}{5} \end{matrix}\middle| {x^{5}} \right)}}{5 x^{7} \Gamma\left(- \frac{2}{5}\right)} + \frac{4 e^{- \frac{i \pi}{4}} \Gamma\left(- \frac{11}{5}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{11}{5}, - \frac{3}{4} \\ - \frac{6}{5} \end{matrix}\middle| {x^{5}} \right)}}{5 x^{11} \Gamma\left(- \frac{6}{5}\right)}"," ",0,"-exp(-I*pi/4)*gamma(-1/5)*hyper((-3/4, -1/5), (4/5,), x**5)/(5*x*gamma(4/5)) + exp(-I*pi/4)*gamma(-2/5)*hyper((-3/4, -2/5), (3/5,), x**5)/(5*x**2*gamma(3/5)) - 3*exp(-I*pi/4)*gamma(-6/5)*hyper((-6/5, -3/4), (-1/5,), x**5)/(5*x**6*gamma(-1/5)) + 4*exp(-I*pi/4)*gamma(-7/5)*hyper((-7/5, -3/4), (-2/5,), x**5)/(5*x**7*gamma(-2/5)) + 4*exp(-I*pi/4)*gamma(-11/5)*hyper((-11/5, -3/4), (-6/5,), x**5)/(5*x**11*gamma(-6/5))","C",0
486,1,184,0,5.602584," ","integrate((x**5+1)**(2/3)*(x**5+x**3+1)*(2*x**5-3)/x**9,x)","- \frac{2 x^{\frac{10}{3}} \Gamma\left(- \frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, - \frac{2}{3} \\ \frac{1}{3} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{5}}} \right)}}{5 \Gamma\left(\frac{1}{3}\right)} + \frac{2 x^{2} \Gamma\left(\frac{2}{5}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, \frac{2}{5} \\ \frac{7}{5} \end{matrix}\middle| {x^{5} e^{i \pi}} \right)}}{5 \Gamma\left(\frac{7}{5}\right)} - \frac{\Gamma\left(- \frac{3}{5}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, - \frac{3}{5} \\ \frac{2}{5} \end{matrix}\middle| {x^{5} e^{i \pi}} \right)}}{5 x^{3} \Gamma\left(\frac{2}{5}\right)} - \frac{3 \Gamma\left(- \frac{8}{5}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{8}{5}, - \frac{2}{3} \\ - \frac{3}{5} \end{matrix}\middle| {x^{5} e^{i \pi}} \right)}}{5 x^{8} \Gamma\left(- \frac{3}{5}\right)} + \frac{3 \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{5}}} \right)}}{5 x^{\frac{5}{3}} \Gamma\left(\frac{4}{3}\right)}"," ",0,"-2*x**(10/3)*gamma(-2/3)*hyper((-2/3, -2/3), (1/3,), exp_polar(I*pi)/x**5)/(5*gamma(1/3)) + 2*x**2*gamma(2/5)*hyper((-2/3, 2/5), (7/5,), x**5*exp_polar(I*pi))/(5*gamma(7/5)) - gamma(-3/5)*hyper((-2/3, -3/5), (2/5,), x**5*exp_polar(I*pi))/(5*x**3*gamma(2/5)) - 3*gamma(-8/5)*hyper((-8/5, -2/3), (-3/5,), x**5*exp_polar(I*pi))/(5*x**8*gamma(-3/5)) + 3*gamma(1/3)*hyper((-2/3, 1/3), (4/3,), exp_polar(I*pi)/x**5)/(5*x**(5/3)*gamma(4/3))","C",0
487,1,194,0,5.710293," ","integrate((x**5-1)**(2/3)*(x**5+x**3-1)*(2*x**5+3)/x**9,x)","- \frac{2 x^{\frac{10}{3}} \Gamma\left(- \frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, - \frac{2}{3} \\ \frac{1}{3} \end{matrix}\middle| {\frac{e^{2 i \pi}}{x^{5}}} \right)}}{5 \Gamma\left(\frac{1}{3}\right)} + \frac{2 x^{2} e^{\frac{2 i \pi}{3}} \Gamma\left(\frac{2}{5}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, \frac{2}{5} \\ \frac{7}{5} \end{matrix}\middle| {x^{5}} \right)}}{5 \Gamma\left(\frac{7}{5}\right)} - \frac{e^{- \frac{i \pi}{3}} \Gamma\left(- \frac{3}{5}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, - \frac{3}{5} \\ \frac{2}{5} \end{matrix}\middle| {x^{5}} \right)}}{5 x^{3} \Gamma\left(\frac{2}{5}\right)} + \frac{3 e^{- \frac{i \pi}{3}} \Gamma\left(- \frac{8}{5}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{8}{5}, - \frac{2}{3} \\ - \frac{3}{5} \end{matrix}\middle| {x^{5}} \right)}}{5 x^{8} \Gamma\left(- \frac{3}{5}\right)} - \frac{3 \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {\frac{e^{2 i \pi}}{x^{5}}} \right)}}{5 x^{\frac{5}{3}} \Gamma\left(\frac{4}{3}\right)}"," ",0,"-2*x**(10/3)*gamma(-2/3)*hyper((-2/3, -2/3), (1/3,), exp_polar(2*I*pi)/x**5)/(5*gamma(1/3)) + 2*x**2*exp(2*I*pi/3)*gamma(2/5)*hyper((-2/3, 2/5), (7/5,), x**5)/(5*gamma(7/5)) - exp(-I*pi/3)*gamma(-3/5)*hyper((-2/3, -3/5), (2/5,), x**5)/(5*x**3*gamma(2/5)) + 3*exp(-I*pi/3)*gamma(-8/5)*hyper((-8/5, -2/3), (-3/5,), x**5)/(5*x**8*gamma(-3/5)) - 3*gamma(1/3)*hyper((-2/3, 1/3), (4/3,), exp_polar(2*I*pi)/x**5)/(5*x**(5/3)*gamma(4/3))","C",0
488,1,192,0,6.568072," ","integrate((x**5-4)*(x**5+1)**(3/4)*(2*x**5-x**4+2)/x**12,x)","\frac{2 \Gamma\left(- \frac{1}{5}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, - \frac{1}{5} \\ \frac{4}{5} \end{matrix}\middle| {x^{5} e^{i \pi}} \right)}}{5 x \Gamma\left(\frac{4}{5}\right)} - \frac{\Gamma\left(- \frac{2}{5}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, - \frac{2}{5} \\ \frac{3}{5} \end{matrix}\middle| {x^{5} e^{i \pi}} \right)}}{5 x^{2} \Gamma\left(\frac{3}{5}\right)} - \frac{6 \Gamma\left(- \frac{6}{5}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{6}{5}, - \frac{3}{4} \\ - \frac{1}{5} \end{matrix}\middle| {x^{5} e^{i \pi}} \right)}}{5 x^{6} \Gamma\left(- \frac{1}{5}\right)} + \frac{4 \Gamma\left(- \frac{7}{5}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{7}{5}, - \frac{3}{4} \\ - \frac{2}{5} \end{matrix}\middle| {x^{5} e^{i \pi}} \right)}}{5 x^{7} \Gamma\left(- \frac{2}{5}\right)} - \frac{8 \Gamma\left(- \frac{11}{5}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{11}{5}, - \frac{3}{4} \\ - \frac{6}{5} \end{matrix}\middle| {x^{5} e^{i \pi}} \right)}}{5 x^{11} \Gamma\left(- \frac{6}{5}\right)}"," ",0,"2*gamma(-1/5)*hyper((-3/4, -1/5), (4/5,), x**5*exp_polar(I*pi))/(5*x*gamma(4/5)) - gamma(-2/5)*hyper((-3/4, -2/5), (3/5,), x**5*exp_polar(I*pi))/(5*x**2*gamma(3/5)) - 6*gamma(-6/5)*hyper((-6/5, -3/4), (-1/5,), x**5*exp_polar(I*pi))/(5*x**6*gamma(-1/5)) + 4*gamma(-7/5)*hyper((-7/5, -3/4), (-2/5,), x**5*exp_polar(I*pi))/(5*x**7*gamma(-2/5)) - 8*gamma(-11/5)*hyper((-11/5, -3/4), (-6/5,), x**5*exp_polar(I*pi))/(5*x**11*gamma(-6/5))","C",0
489,1,185,0,5.644207," ","integrate((x**5+1)**(2/3)*(2*x**5-3)*(4*x**5+3*x**3+4)/x**9,x)","- \frac{6 x^{\frac{10}{3}} \Gamma\left(- \frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, - \frac{2}{3} \\ \frac{1}{3} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{5}}} \right)}}{5 \Gamma\left(\frac{1}{3}\right)} + \frac{8 x^{2} \Gamma\left(\frac{2}{5}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, \frac{2}{5} \\ \frac{7}{5} \end{matrix}\middle| {x^{5} e^{i \pi}} \right)}}{5 \Gamma\left(\frac{7}{5}\right)} - \frac{4 \Gamma\left(- \frac{3}{5}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, - \frac{3}{5} \\ \frac{2}{5} \end{matrix}\middle| {x^{5} e^{i \pi}} \right)}}{5 x^{3} \Gamma\left(\frac{2}{5}\right)} - \frac{12 \Gamma\left(- \frac{8}{5}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{8}{5}, - \frac{2}{3} \\ - \frac{3}{5} \end{matrix}\middle| {x^{5} e^{i \pi}} \right)}}{5 x^{8} \Gamma\left(- \frac{3}{5}\right)} + \frac{9 \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{5}}} \right)}}{5 x^{\frac{5}{3}} \Gamma\left(\frac{4}{3}\right)}"," ",0,"-6*x**(10/3)*gamma(-2/3)*hyper((-2/3, -2/3), (1/3,), exp_polar(I*pi)/x**5)/(5*gamma(1/3)) + 8*x**2*gamma(2/5)*hyper((-2/3, 2/5), (7/5,), x**5*exp_polar(I*pi))/(5*gamma(7/5)) - 4*gamma(-3/5)*hyper((-2/3, -3/5), (2/5,), x**5*exp_polar(I*pi))/(5*x**3*gamma(2/5)) - 12*gamma(-8/5)*hyper((-8/5, -2/3), (-3/5,), x**5*exp_polar(I*pi))/(5*x**8*gamma(-3/5)) + 9*gamma(1/3)*hyper((-2/3, 1/3), (4/3,), exp_polar(I*pi)/x**5)/(5*x**(5/3)*gamma(4/3))","C",0
490,1,124,0,2.822244," ","integrate(1/x**13/(x**6-1)**(1/2),x)","\begin{cases} \frac{i \operatorname{acosh}{\left(\frac{1}{x^{3}} \right)}}{8} - \frac{i}{8 x^{3} \sqrt{-1 + \frac{1}{x^{6}}}} + \frac{i}{24 x^{9} \sqrt{-1 + \frac{1}{x^{6}}}} + \frac{i}{12 x^{15} \sqrt{-1 + \frac{1}{x^{6}}}} & \text{for}\: \frac{1}{\left|{x^{6}}\right|} > 1 \\- \frac{\operatorname{asin}{\left(\frac{1}{x^{3}} \right)}}{8} + \frac{1}{8 x^{3} \sqrt{1 - \frac{1}{x^{6}}}} - \frac{1}{24 x^{9} \sqrt{1 - \frac{1}{x^{6}}}} - \frac{1}{12 x^{15} \sqrt{1 - \frac{1}{x^{6}}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((I*acosh(x**(-3))/8 - I/(8*x**3*sqrt(-1 + x**(-6))) + I/(24*x**9*sqrt(-1 + x**(-6))) + I/(12*x**15*sqrt(-1 + x**(-6))), 1/Abs(x**6) > 1), (-asin(x**(-3))/8 + 1/(8*x**3*sqrt(1 - 1/x**6)) - 1/(24*x**9*sqrt(1 - 1/x**6)) - 1/(12*x**15*sqrt(1 - 1/x**6)), True))","A",0
491,-1,0,0,0.000000," ","integrate((x**6-1)/x**13/(x**6+1)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
492,1,58,0,2.640566," ","integrate((x**6+1)**(1/2)/x**13,x)","\frac{\operatorname{asinh}{\left(\frac{1}{x^{3}} \right)}}{24} - \frac{1}{24 x^{3} \sqrt{1 + \frac{1}{x^{6}}}} - \frac{1}{8 x^{9} \sqrt{1 + \frac{1}{x^{6}}}} - \frac{1}{12 x^{15} \sqrt{1 + \frac{1}{x^{6}}}}"," ",0,"asinh(x**(-3))/24 - 1/(24*x**3*sqrt(1 + x**(-6))) - 1/(8*x**9*sqrt(1 + x**(-6))) - 1/(12*x**15*sqrt(1 + x**(-6)))","A",0
493,1,63,0,138.355091," ","integrate((x**6+1)/x**13/(x**6-1)**(1/2),x)","- \frac{1 - \frac{1}{x^{6} - 1}}{24 \left(1 + \frac{1}{x^{6} - 1}\right)^{2} \sqrt{x^{6} - 1}} - \frac{7 \operatorname{atan}{\left(\frac{1}{\sqrt{x^{6} - 1}} \right)}}{24} + \frac{1}{3 \left(1 + \frac{1}{x^{6} - 1}\right) \sqrt{x^{6} - 1}}"," ",0,"-(1 - 1/(x**6 - 1))/(24*(1 + 1/(x**6 - 1))**2*sqrt(x**6 - 1)) - 7*atan(1/sqrt(x**6 - 1))/24 + 1/(3*(1 + 1/(x**6 - 1))*sqrt(x**6 - 1))","A",0
494,1,148,0,4.075619," ","integrate((x**6-1)**(1/3)*(x**6+1)*(x**6+x**3-1)/x**8,x)","\frac{x^{5} e^{\frac{i \pi}{3}} \Gamma\left(\frac{5}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, \frac{5}{6} \\ \frac{11}{6} \end{matrix}\middle| {x^{6}} \right)}}{6 \Gamma\left(\frac{11}{6}\right)} + \frac{x^{2} e^{\frac{i \pi}{3}} \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {x^{6}} \right)}}{6 \Gamma\left(\frac{4}{3}\right)} - \frac{e^{- \frac{2 i \pi}{3}} \Gamma\left(- \frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, - \frac{1}{3} \\ \frac{1}{3} \end{matrix}\middle| {x^{6}} \right)}}{6 x^{4} \Gamma\left(\frac{1}{3}\right)} + \frac{e^{- \frac{2 i \pi}{3}} \Gamma\left(- \frac{7}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{7}{6}, - \frac{1}{3} \\ - \frac{1}{6} \end{matrix}\middle| {x^{6}} \right)}}{6 x^{7} \Gamma\left(- \frac{1}{6}\right)}"," ",0,"x**5*exp(I*pi/3)*gamma(5/6)*hyper((-1/3, 5/6), (11/6,), x**6)/(6*gamma(11/6)) + x**2*exp(I*pi/3)*gamma(1/3)*hyper((-1/3, 1/3), (4/3,), x**6)/(6*gamma(4/3)) - exp(-2*I*pi/3)*gamma(-2/3)*hyper((-2/3, -1/3), (1/3,), x**6)/(6*x**4*gamma(1/3)) + exp(-2*I*pi/3)*gamma(-7/6)*hyper((-7/6, -1/3), (-1/6,), x**6)/(6*x**7*gamma(-1/6))","C",0
495,1,187,0,6.773312," ","integrate((x**6-1)**(3/4)*(x**6+2)*(x**6-x**4-1)/x**12,x)","\frac{x e^{\frac{3 i \pi}{4}} \Gamma\left(\frac{1}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, \frac{1}{6} \\ \frac{7}{6} \end{matrix}\middle| {x^{6}} \right)}}{6 \Gamma\left(\frac{7}{6}\right)} + \frac{e^{- \frac{i \pi}{4}} \Gamma\left(- \frac{1}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, - \frac{1}{6} \\ \frac{5}{6} \end{matrix}\middle| {x^{6}} \right)}}{6 x \Gamma\left(\frac{5}{6}\right)} - \frac{e^{- \frac{i \pi}{4}} \Gamma\left(- \frac{5}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{5}{6}, - \frac{3}{4} \\ \frac{1}{6} \end{matrix}\middle| {x^{6}} \right)}}{6 x^{5} \Gamma\left(\frac{1}{6}\right)} + \frac{e^{- \frac{i \pi}{4}} \Gamma\left(- \frac{7}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{7}{6}, - \frac{3}{4} \\ - \frac{1}{6} \end{matrix}\middle| {x^{6}} \right)}}{3 x^{7} \Gamma\left(- \frac{1}{6}\right)} + \frac{e^{- \frac{i \pi}{4}} \Gamma\left(- \frac{11}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{11}{6}, - \frac{3}{4} \\ - \frac{5}{6} \end{matrix}\middle| {x^{6}} \right)}}{3 x^{11} \Gamma\left(- \frac{5}{6}\right)}"," ",0,"x*exp(3*I*pi/4)*gamma(1/6)*hyper((-3/4, 1/6), (7/6,), x**6)/(6*gamma(7/6)) + exp(-I*pi/4)*gamma(-1/6)*hyper((-3/4, -1/6), (5/6,), x**6)/(6*x*gamma(5/6)) - exp(-I*pi/4)*gamma(-5/6)*hyper((-5/6, -3/4), (1/6,), x**6)/(6*x**5*gamma(1/6)) + exp(-I*pi/4)*gamma(-7/6)*hyper((-7/6, -3/4), (-1/6,), x**6)/(3*x**7*gamma(-1/6)) + exp(-I*pi/4)*gamma(-11/6)*hyper((-11/6, -3/4), (-5/6,), x**6)/(3*x**11*gamma(-5/6))","C",0
496,1,177,0,6.681129," ","integrate((x**6-2)*(x**6+1)**(3/4)*(x**6-x**4+1)/x**12,x)","\frac{x \Gamma\left(\frac{1}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, \frac{1}{6} \\ \frac{7}{6} \end{matrix}\middle| {x^{6} e^{i \pi}} \right)}}{6 \Gamma\left(\frac{7}{6}\right)} - \frac{\Gamma\left(- \frac{1}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, - \frac{1}{6} \\ \frac{5}{6} \end{matrix}\middle| {x^{6} e^{i \pi}} \right)}}{6 x \Gamma\left(\frac{5}{6}\right)} - \frac{\Gamma\left(- \frac{5}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{5}{6}, - \frac{3}{4} \\ \frac{1}{6} \end{matrix}\middle| {x^{6} e^{i \pi}} \right)}}{6 x^{5} \Gamma\left(\frac{1}{6}\right)} + \frac{\Gamma\left(- \frac{7}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{7}{6}, - \frac{3}{4} \\ - \frac{1}{6} \end{matrix}\middle| {x^{6} e^{i \pi}} \right)}}{3 x^{7} \Gamma\left(- \frac{1}{6}\right)} - \frac{\Gamma\left(- \frac{11}{6}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{11}{6}, - \frac{3}{4} \\ - \frac{5}{6} \end{matrix}\middle| {x^{6} e^{i \pi}} \right)}}{3 x^{11} \Gamma\left(- \frac{5}{6}\right)}"," ",0,"x*gamma(1/6)*hyper((-3/4, 1/6), (7/6,), x**6*exp_polar(I*pi))/(6*gamma(7/6)) - gamma(-1/6)*hyper((-3/4, -1/6), (5/6,), x**6*exp_polar(I*pi))/(6*x*gamma(5/6)) - gamma(-5/6)*hyper((-5/6, -3/4), (1/6,), x**6*exp_polar(I*pi))/(6*x**5*gamma(1/6)) + gamma(-7/6)*hyper((-7/6, -3/4), (-1/6,), x**6*exp_polar(I*pi))/(3*x**7*gamma(-1/6)) - gamma(-11/6)*hyper((-11/6, -3/4), (-5/6,), x**6*exp_polar(I*pi))/(3*x**11*gamma(-5/6))","C",0
497,0,0,0,0.000000," ","integrate((3*x**2-2*x)/(x**6-2*x**5+x**4+4*x**3-4*x**2+5)**(1/2),x)","\int \frac{x \left(3 x - 2\right)}{\sqrt{x^{6} - 2 x^{5} + x^{4} + 4 x^{3} - 4 x^{2} + 5}}\, dx"," ",0,"Integral(x*(3*x - 2)/sqrt(x**6 - 2*x**5 + x**4 + 4*x**3 - 4*x**2 + 5), x)","F",0
498,1,36,0,19.835684," ","integrate((5*x**6-2)/x/(x**6-1)**(1/2)/(x**6+2),x)","\frac{2 \sqrt{3} \operatorname{atan}{\left(\frac{\sqrt{3} \sqrt{x^{6} - 1}}{3} \right)}}{3} - \frac{\operatorname{atan}{\left(\sqrt{x^{6} - 1} \right)}}{3}"," ",0,"2*sqrt(3)*atan(sqrt(3)*sqrt(x**6 - 1)/3)/3 - atan(sqrt(x**6 - 1))/3","A",0
499,1,36,0,22.743424," ","integrate((10*x**6-1)/x/(x**6-1)**(1/2)/(4*x**6-1),x)","\frac{\sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} \sqrt{x^{6} - 1}}{3} \right)}}{3} + \frac{\operatorname{atan}{\left(\sqrt{x^{6} - 1} \right)}}{3}"," ",0,"sqrt(3)*atan(2*sqrt(3)*sqrt(x**6 - 1)/3)/3 + atan(sqrt(x**6 - 1))/3","A",0
500,1,68,0,3.051259," ","integrate((x**2+x+2)/x**2/(x**2+1)**(3/4),x)","x {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{2}, \frac{3}{4} \\ \frac{3}{2} \end{matrix}\middle| {x^{2} e^{i \pi}} \right)} - \frac{2 {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{3}{4} \\ \frac{1}{2} \end{matrix}\middle| {x^{2} e^{i \pi}} \right)}}{x} - \frac{\Gamma\left(\frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{3}{4} \\ \frac{7}{4} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{2}}} \right)}}{2 x^{\frac{3}{2}} \Gamma\left(\frac{7}{4}\right)}"," ",0,"x*hyper((1/2, 3/4), (3/2,), x**2*exp_polar(I*pi)) - 2*hyper((-1/2, 3/4), (1/2,), x**2*exp_polar(I*pi))/x - gamma(3/4)*hyper((3/4, 3/4), (7/4,), exp_polar(I*pi)/x**2)/(2*x**(3/2)*gamma(7/4))","C",0
501,-1,0,0,0.000000," ","integrate((-3+2*x)/(x**2-x)**(1/4)/(x**3-x+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
502,0,0,0,0.000000," ","integrate((x**2-1)*(x**3+x)**(1/2)/(x**2+1)/(x**2+x+1)**2,x)","\int \frac{\sqrt{x \left(x^{2} + 1\right)} \left(x - 1\right) \left(x + 1\right)}{\left(x^{2} + 1\right) \left(x^{2} + x + 1\right)^{2}}\, dx"," ",0,"Integral(sqrt(x*(x**2 + 1))*(x - 1)*(x + 1)/((x**2 + 1)*(x**2 + x + 1)**2), x)","F",0
503,0,0,0,0.000000," ","integrate((x**3-2)*(2*x**3+x**2+2)**(1/2)/(x**3+1)/(x**3+x**2+1),x)","\int \frac{\left(x^{3} - 2\right) \sqrt{2 x^{3} + x^{2} + 2}}{\left(x + 1\right) \left(x^{2} - x + 1\right) \left(x^{3} + x^{2} + 1\right)}\, dx"," ",0,"Integral((x**3 - 2)*sqrt(2*x**3 + x**2 + 2)/((x + 1)*(x**2 - x + 1)*(x**3 + x**2 + 1)), x)","F",0
504,0,0,0,0.000000," ","integrate((a*x**2+b)/(a*x**2+c*x-b)/(a*x**3-b*x)**(1/2),x)","\int \frac{a x^{2} + b}{\sqrt{x \left(a x^{2} - b\right)} \left(a x^{2} - b + c x\right)}\, dx"," ",0,"Integral((a*x**2 + b)/(sqrt(x*(a*x**2 - b))*(a*x**2 - b + c*x)), x)","F",0
505,1,60,0,1.278044," ","integrate(x*(x**4-1)**(1/2),x)","\begin{cases} \frac{x^{6}}{4 \sqrt{x^{4} - 1}} - \frac{x^{2}}{4 \sqrt{x^{4} - 1}} - \frac{\operatorname{acosh}{\left(x^{2} \right)}}{4} & \text{for}\: \left|{x^{4}}\right| > 1 \\\frac{i x^{2} \sqrt{1 - x^{4}}}{4} + \frac{i \operatorname{asin}{\left(x^{2} \right)}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**6/(4*sqrt(x**4 - 1)) - x**2/(4*sqrt(x**4 - 1)) - acosh(x**2)/4, Abs(x**4) > 1), (I*x**2*sqrt(1 - x**4)/4 + I*asin(x**2)/4, True))","A",0
506,0,0,0,0.000000," ","integrate((x**4-x)**(1/2)/x**3,x)","\int \frac{\sqrt{x \left(x - 1\right) \left(x^{2} + x + 1\right)}}{x^{3}}\, dx"," ",0,"Integral(sqrt(x*(x - 1)*(x**2 + x + 1))/x**3, x)","F",0
507,0,0,0,0.000000," ","integrate(x**3*(x**4+x)**(1/2),x)","\int x^{3} \sqrt{x \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(x**3*sqrt(x*(x + 1)*(x**2 - x + 1)), x)","F",0
508,0,0,0,0.000000," ","integrate((1+x)/(x**4+4*x**3+13*x**2+18*x+16)**(1/2),x)","\int \frac{x + 1}{\sqrt{x^{4} + 4 x^{3} + 13 x^{2} + 18 x + 16}}\, dx"," ",0,"Integral((x + 1)/sqrt(x**4 + 4*x**3 + 13*x**2 + 18*x + 16), x)","F",0
509,0,0,0,0.000000," ","integrate((x**5-1)**(1/2)*(3*x**5+2)/x**2/(x**5-a*x**2-1),x)","\int \frac{\sqrt{\left(x - 1\right) \left(x^{4} + x^{3} + x^{2} + x + 1\right)} \left(3 x^{5} + 2\right)}{x^{2} \left(- a x^{2} + x^{5} - 1\right)}\, dx"," ",0,"Integral(sqrt((x - 1)*(x**4 + x**3 + x**2 + x + 1))*(3*x**5 + 2)/(x**2*(-a*x**2 + x**5 - 1)), x)","F",0
510,0,0,0,0.000000," ","integrate(x*(x**6-x)**(1/2),x)","\int x \sqrt{x \left(x - 1\right) \left(x^{4} + x^{3} + x^{2} + x + 1\right)}\, dx"," ",0,"Integral(x*sqrt(x*(x - 1)*(x**4 + x**3 + x**2 + x + 1)), x)","F",0
511,0,0,0,0.000000," ","integrate((x**5+1)*(4*x**5-1)/x/(x**5-a*x+1)/(x**6+x)**(1/2),x)","\int \frac{\left(x + 1\right) \left(4 x^{5} - 1\right) \left(x^{4} - x^{3} + x^{2} - x + 1\right)}{x \sqrt{x \left(x + 1\right) \left(x^{4} - x^{3} + x^{2} - x + 1\right)} \left(- a x + x^{5} + 1\right)}\, dx"," ",0,"Integral((x + 1)*(4*x**5 - 1)*(x**4 - x**3 + x**2 - x + 1)/(x*sqrt(x*(x + 1)*(x**4 - x**3 + x**2 - x + 1))*(-a*x + x**5 + 1)), x)","F",0
512,0,0,0,0.000000," ","integrate(1/(x-(x**2-1)**(1/2))**(1/2),x)","\int \frac{1}{\sqrt{x - \sqrt{x^{2} - 1}}}\, dx"," ",0,"Integral(1/sqrt(x - sqrt(x**2 - 1)), x)","F",0
513,0,0,0,0.000000," ","integrate((x**2+1)/(x**2+2*x-1)/(x**3-x**2-x)**(1/2),x)","\int \frac{x^{2} + 1}{\sqrt{x \left(x^{2} - x - 1\right)} \left(x^{2} + 2 x - 1\right)}\, dx"," ",0,"Integral((x**2 + 1)/(sqrt(x*(x**2 - x - 1))*(x**2 + 2*x - 1)), x)","F",0
514,0,0,0,0.000000," ","integrate((x**3+2)*(x**3+x**2-1)**(1/2)/(x**3-1)**2,x)","\int \frac{\left(x^{3} + 2\right) \sqrt{x^{3} + x^{2} - 1}}{\left(x - 1\right)^{2} \left(x^{2} + x + 1\right)^{2}}\, dx"," ",0,"Integral((x**3 + 2)*sqrt(x**3 + x**2 - 1)/((x - 1)**2*(x**2 + x + 1)**2), x)","F",0
515,0,0,0,0.000000," ","integrate((x**2+2)/(x**2-2)/(x**3+2*x**2-2*x)**(1/2),x)","\int \frac{x^{2} + 2}{\sqrt{x \left(x^{2} + 2 x - 2\right)} \left(x^{2} - 2\right)}\, dx"," ",0,"Integral((x**2 + 2)/(sqrt(x*(x**2 + 2*x - 2))*(x**2 - 2)), x)","F",0
516,0,0,0,0.000000," ","integrate((2+x)/(-1+x)/(a*x**2+x**3+3*x-1)**(1/2),x)","\int \frac{x + 2}{\left(x - 1\right) \sqrt{a x^{2} + x^{3} + 3 x - 1}}\, dx"," ",0,"Integral((x + 2)/((x - 1)*sqrt(a*x**2 + x**3 + 3*x - 1)), x)","F",0
517,0,0,0,0.000000," ","integrate((-2+x)/(1+x)/(a*x**2+x**3+3*x+1)**(1/2),x)","\int \frac{x - 2}{\left(x + 1\right) \sqrt{a x^{2} + x^{3} + 3 x + 1}}\, dx"," ",0,"Integral((x - 2)/((x + 1)*sqrt(a*x**2 + x**3 + 3*x + 1)), x)","F",0
518,-1,0,0,0.000000," ","integrate(x*(3*a*b-2*(a+b)*x+x**2)/(x*(-a+x)*(-b+x))**(1/2)/(-a*b*d+(a+b)*d*x-d*x**2+x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
519,-1,0,0,0.000000," ","integrate((3*a*b*x-2*(a+b)*x**2+x**3)/(x*(-a+x)*(-b+x))**(1/2)/(-a*b+(a+b)*x-x**2+d*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
520,1,49,0,0.115741," ","integrate((x**2-1)*((x**2+1)**2)**(1/2)/(x**2+1)/(x**4+1),x)","\frac{\sqrt{2} \log{\left(- \sqrt{2} x + \sqrt{\left(x^{2} + 1\right)^{2}} \right)}}{4} - \frac{\sqrt{2} \log{\left(\sqrt{2} x + \sqrt{\left(x^{2} + 1\right)^{2}} \right)}}{4}"," ",0,"sqrt(2)*log(-sqrt(2)*x + sqrt((x**2 + 1)**2))/4 - sqrt(2)*log(sqrt(2)*x + sqrt((x**2 + 1)**2))/4","A",0
521,0,0,0,0.000000," ","integrate((-1+x)/(x**4-12*x**3+14*x**2+4*x-7)**(1/2),x)","\int \frac{x - 1}{\sqrt{\left(x - 1\right)^{2} \left(x^{2} - 10 x - 7\right)}}\, dx"," ",0,"Integral((x - 1)/sqrt((x - 1)**2*(x**2 - 10*x - 7)), x)","F",0
522,0,0,0,0.000000," ","integrate((k**2*x**4-2*k**2*x**2+1)/x**2/((-x**2+1)*(-k**2*x**2+1))**(1/2)/(k**2*x**2-1),x)","\int \frac{k^{2} x^{4} - 2 k^{2} x^{2} + 1}{x^{2} \sqrt{\left(x - 1\right) \left(x + 1\right) \left(k x - 1\right) \left(k x + 1\right)} \left(k x - 1\right) \left(k x + 1\right)}\, dx"," ",0,"Integral((k**2*x**4 - 2*k**2*x**2 + 1)/(x**2*sqrt((x - 1)*(x + 1)*(k*x - 1)*(k*x + 1))*(k*x - 1)*(k*x + 1)), x)","F",0
523,1,36,0,19.094589," ","integrate((x**6-2)/x/(x**6-1)**(1/2)/(x**6+2),x)","\frac{2 \sqrt{3} \operatorname{atan}{\left(\frac{\sqrt{3} \sqrt{x^{6} - 1}}{3} \right)}}{9} - \frac{\operatorname{atan}{\left(\sqrt{x^{6} - 1} \right)}}{3}"," ",0,"2*sqrt(3)*atan(sqrt(3)*sqrt(x**6 - 1)/3)/9 - atan(sqrt(x**6 - 1))/3","A",0
524,1,68,0,27.309973," ","integrate((x**3+2)*(x**6+x**3+1)/x/(x**3+1)**(1/2),x)","\frac{2 \left(x^{3} + 1\right)^{\frac{5}{2}}}{15} + \frac{2 \left(x^{3} + 1\right)^{\frac{3}{2}}}{9} + \frac{2 \sqrt{x^{3} + 1}}{3} + \frac{2 \log{\left(-1 + \frac{1}{\sqrt{x^{3} + 1}} \right)}}{3} - \frac{2 \log{\left(1 + \frac{1}{\sqrt{x^{3} + 1}} \right)}}{3}"," ",0,"2*(x**3 + 1)**(5/2)/15 + 2*(x**3 + 1)**(3/2)/9 + 2*sqrt(x**3 + 1)/3 + 2*log(-1 + 1/sqrt(x**3 + 1))/3 - 2*log(1 + 1/sqrt(x**3 + 1))/3","A",0
525,0,0,0,0.000000," ","integrate((3*x**2+4*x)/(x**6+4*x**5+4*x**4+2*x**3+4*x**2-5)**(1/2),x)","\int \frac{x \left(3 x + 4\right)}{\sqrt{x^{6} + 4 x^{5} + 4 x^{4} + 2 x^{3} + 4 x^{2} - 5}}\, dx"," ",0,"Integral(x*(3*x + 4)/sqrt(x**6 + 4*x**5 + 4*x**4 + 2*x**3 + 4*x**2 - 5), x)","F",0
526,0,0,0,0.000000," ","integrate(x**2*(p*x**5+q)**(1/2)*(3*p*x**5-2*q)/(b*x**6+a*(p*x**5+q)**3),x)","\int \frac{x^{2} \sqrt{p x^{5} + q} \left(3 p x^{5} - 2 q\right)}{a p^{3} x^{15} + 3 a p^{2} q x^{10} + 3 a p q^{2} x^{5} + a q^{3} + b x^{6}}\, dx"," ",0,"Integral(x**2*sqrt(p*x**5 + q)*(3*p*x**5 - 2*q)/(a*p**3*x**15 + 3*a*p**2*q*x**10 + 3*a*p*q**2*x**5 + a*q**3 + b*x**6), x)","F",0
527,1,71,0,1.247328," ","integrate(x**8/(a*x**3-b)**(1/2),x)","\begin{cases} \frac{2 x^{6} \sqrt{a x^{3} - b}}{15 a} + \frac{8 b x^{3} \sqrt{a x^{3} - b}}{45 a^{2}} + \frac{16 b^{2} \sqrt{a x^{3} - b}}{45 a^{3}} & \text{for}\: a \neq 0 \\\frac{x^{9}}{9 \sqrt{- b}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*x**6*sqrt(a*x**3 - b)/(15*a) + 8*b*x**3*sqrt(a*x**3 - b)/(45*a**2) + 16*b**2*sqrt(a*x**3 - b)/(45*a**3), Ne(a, 0)), (x**9/(9*sqrt(-b)), True))","A",0
528,1,68,0,0.481695," ","integrate(x**5*(a*x**3-b)**(1/2),x)","\begin{cases} \frac{2 x^{6} \sqrt{a x^{3} - b}}{15} - \frac{2 b x^{3} \sqrt{a x^{3} - b}}{45 a} - \frac{4 b^{2} \sqrt{a x^{3} - b}}{45 a^{2}} & \text{for}\: a \neq 0 \\\frac{x^{6} \sqrt{- b}}{6} & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*x**6*sqrt(a*x**3 - b)/15 - 2*b*x**3*sqrt(a*x**3 - b)/(45*a) - 4*b**2*sqrt(a*x**3 - b)/(45*a**2), Ne(a, 0)), (x**6*sqrt(-b)/6, True))","A",0
529,-1,0,0,0.000000," ","integrate((a*x**3+2*b)/(a*x**3-b)**(1/2)/(2*a*x**3-3*x**2-2*b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
530,0,0,0,0.000000," ","integrate((x**4-1)*(x**4+1)**(1/2)*(x**4+x**2+1)/x**4/(x**4-x**2+1),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \sqrt{x^{4} + 1} \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)}{x^{4} \left(x^{4} - x^{2} + 1\right)}\, dx"," ",0,"Integral((x - 1)*(x + 1)*(x**2 + 1)*sqrt(x**4 + 1)*(x**2 - x + 1)*(x**2 + x + 1)/(x**4*(x**4 - x**2 + 1)), x)","F",0
531,-1,0,0,0.000000," ","integrate((2*a*x**2+3*b*x+4*c)/(a*x**2+b*x+c)**(1/4)/(x**4-a*x**2-b*x-c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
532,1,83,0,74.241633," ","integrate((x**3+2)*(x**6+x**3+1)/x**4/(x**3+1)**(1/2),x)","\frac{2 \left(x^{3} + 1\right)^{\frac{3}{2}}}{9} + \frac{4 \sqrt{x^{3} + 1}}{3} + \frac{2 \log{\left(-1 + \frac{1}{\sqrt{x^{3} + 1}} \right)}}{3} - \frac{2 \log{\left(1 + \frac{1}{\sqrt{x^{3} + 1}} \right)}}{3} + \frac{1}{3 \left(1 + \frac{1}{\sqrt{x^{3} + 1}}\right)} + \frac{1}{3 \left(-1 + \frac{1}{\sqrt{x^{3} + 1}}\right)}"," ",0,"2*(x**3 + 1)**(3/2)/9 + 4*sqrt(x**3 + 1)/3 + 2*log(-1 + 1/sqrt(x**3 + 1))/3 - 2*log(1 + 1/sqrt(x**3 + 1))/3 + 1/(3*(1 + 1/sqrt(x**3 + 1))) + 1/(3*(-1 + 1/sqrt(x**3 + 1)))","B",0
533,-1,0,0,0.000000," ","integrate((x**3-1)**(1/2)*(2*x**6+x**3-2)/x**10,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
534,1,37,0,22.450074," ","integrate((13*x**6-4)/x/(x**6-1)**(1/2)/(4*x**6-1),x)","- \frac{\sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} \sqrt{x^{6} - 1}}{3} \right)}}{6} + \frac{4 \operatorname{atan}{\left(\sqrt{x^{6} - 1} \right)}}{3}"," ",0,"-sqrt(3)*atan(2*sqrt(3)*sqrt(x**6 - 1)/3)/6 + 4*atan(sqrt(x**6 - 1))/3","A",0
535,-1,0,0,0.000000," ","integrate((2*a*x**3-b)/(a*x**3+b-x)/(a*x**6+b*x**3)**(1/4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
536,-1,0,0,0.000000," ","integrate(x**3*(2*a*x**5+b)/(a*x**6+b*x)**(1/4)/(a*x**10+b*x**5-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
537,1,37,0,0.789995," ","integrate((x**3+1)**(1/4)/x,x)","- \frac{x^{\frac{3}{4}} \Gamma\left(- \frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{4}, - \frac{1}{4} \\ \frac{3}{4} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{3}}} \right)}}{3 \Gamma\left(\frac{3}{4}\right)}"," ",0,"-x**(3/4)*gamma(-1/4)*hyper((-1/4, -1/4), (3/4,), exp_polar(I*pi)/x**3)/(3*gamma(3/4))","C",0
538,-1,0,0,0.000000," ","integrate((a*p*x**3+3*b*p*x**2-2*a*q)/(p*x**3+q)**(1/2)/(a**2*c*x**2+d*p*x**3+2*a*b*c*x+b**2*c+d*q),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
539,0,0,0,0.000000," ","integrate((x**3-1)*(x**6-1)**(1/2)/x**7/(x**3+1),x)","\int \frac{\sqrt{\left(x - 1\right) \left(x + 1\right) \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)} \left(x - 1\right) \left(x^{2} + x + 1\right)}{x^{7} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(sqrt((x - 1)*(x + 1)*(x**2 - x + 1)*(x**2 + x + 1))*(x - 1)*(x**2 + x + 1)/(x**7*(x + 1)*(x**2 - x + 1)), x)","F",0
540,0,0,0,0.000000," ","integrate((x**3+1)*(x**6-1)**(1/2)/x**7/(x**3-1),x)","\int \frac{\sqrt{\left(x - 1\right) \left(x + 1\right) \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)} \left(x + 1\right) \left(x^{2} - x + 1\right)}{x^{7} \left(x - 1\right) \left(x^{2} + x + 1\right)}\, dx"," ",0,"Integral(sqrt((x - 1)*(x + 1)*(x**2 - x + 1)*(x**2 + x + 1))*(x + 1)*(x**2 - x + 1)/(x**7*(x - 1)*(x**2 + x + 1)), x)","F",0
541,1,37,0,0.789017," ","integrate((x**6+1)**(1/4)/x,x)","- \frac{x^{\frac{3}{2}} \Gamma\left(- \frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{4}, - \frac{1}{4} \\ \frac{3}{4} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{6}}} \right)}}{6 \Gamma\left(\frac{3}{4}\right)}"," ",0,"-x**(3/2)*gamma(-1/4)*hyper((-1/4, -1/4), (3/4,), exp_polar(I*pi)/x**6)/(6*gamma(3/4))","C",0
542,1,92,0,3.544922," ","integrate((x**12+1)/x**4/(x**6-1)**(1/2),x)","\begin{cases} \frac{i \sqrt{-1 + \frac{1}{x^{6}}}}{3} & \text{for}\: \frac{1}{\left|{x^{6}}\right|} > 1 \\\frac{\sqrt{1 - \frac{1}{x^{6}}}}{3} & \text{otherwise} \end{cases} + \begin{cases} \frac{x^{3} \sqrt{x^{6} - 1}}{6} + \frac{\operatorname{acosh}{\left(x^{3} \right)}}{6} & \text{for}\: \left|{x^{6}}\right| > 1 \\- \frac{i x^{9}}{6 \sqrt{1 - x^{6}}} + \frac{i x^{3}}{6 \sqrt{1 - x^{6}}} - \frac{i \operatorname{asin}{\left(x^{3} \right)}}{6} & \text{otherwise} \end{cases}"," ",0,"Piecewise((I*sqrt(-1 + x**(-6))/3, 1/Abs(x**6) > 1), (sqrt(1 - 1/x**6)/3, True)) + Piecewise((x**3*sqrt(x**6 - 1)/6 + acosh(x**3)/6, Abs(x**6) > 1), (-I*x**9/(6*sqrt(1 - x**6)) + I*x**3/(6*sqrt(1 - x**6)) - I*asin(x**3)/6, True))","C",0
543,1,85,0,3.928455," ","integrate(1/x**10/(x**3+1)**(1/2),x)","\frac{5 \operatorname{asinh}{\left(\frac{1}{x^{\frac{3}{2}}} \right)}}{24} - \frac{5}{24 x^{\frac{3}{2}} \sqrt{1 + \frac{1}{x^{3}}}} - \frac{5}{72 x^{\frac{9}{2}} \sqrt{1 + \frac{1}{x^{3}}}} + \frac{1}{36 x^{\frac{15}{2}} \sqrt{1 + \frac{1}{x^{3}}}} - \frac{1}{9 x^{\frac{21}{2}} \sqrt{1 + \frac{1}{x^{3}}}}"," ",0,"5*asinh(x**(-3/2))/24 - 5/(24*x**(3/2)*sqrt(1 + x**(-3))) - 5/(72*x**(9/2)*sqrt(1 + x**(-3))) + 1/(36*x**(15/2)*sqrt(1 + x**(-3))) - 1/(9*x**(21/2)*sqrt(1 + x**(-3)))","B",0
544,0,0,0,0.000000," ","integrate((x**3-1)/x**6/(x**3+x**2)**(1/3),x)","\int \frac{\left(x - 1\right) \left(x^{2} + x + 1\right)}{x^{6} \sqrt[3]{x^{2} \left(x + 1\right)}}\, dx"," ",0,"Integral((x - 1)*(x**2 + x + 1)/(x**6*(x**2*(x + 1))**(1/3)), x)","F",0
545,-1,0,0,0.000000," ","integrate((x**3-2)*(x**3+1)**(1/2)*(2*x**3+x**2+2)/x**4/(x**3+x**2+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
546,0,0,0,0.000000," ","integrate((x**4-1)*(x**4+x**2+1)**(1/2)/(x**4+1)/(x**4-x**2+1),x)","\int \frac{\sqrt{\left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}{\left(x^{4} + 1\right) \left(x^{4} - x^{2} + 1\right)}\, dx"," ",0,"Integral(sqrt((x**2 - x + 1)*(x**2 + x + 1))*(x - 1)*(x + 1)*(x**2 + 1)/((x**4 + 1)*(x**4 - x**2 + 1)), x)","F",0
547,-1,0,0,0.000000," ","integrate((x**4+x**2+x+1)**(1/2)*(2*x**4-x-2)/(x**4+x+1)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
548,-1,0,0,0.000000," ","integrate((x**4-1)*(3*x**4+1)/x/(x**4-a*x-1)/(x**5-x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
549,1,165,0,4.770226," ","integrate(1/x**19/(x**6-1)**(1/2),x)","\begin{cases} \frac{5 i \operatorname{acosh}{\left(\frac{1}{x^{3}} \right)}}{48} - \frac{5 i}{48 x^{3} \sqrt{-1 + \frac{1}{x^{6}}}} + \frac{5 i}{144 x^{9} \sqrt{-1 + \frac{1}{x^{6}}}} + \frac{i}{72 x^{15} \sqrt{-1 + \frac{1}{x^{6}}}} + \frac{i}{18 x^{21} \sqrt{-1 + \frac{1}{x^{6}}}} & \text{for}\: \frac{1}{\left|{x^{6}}\right|} > 1 \\- \frac{5 \operatorname{asin}{\left(\frac{1}{x^{3}} \right)}}{48} + \frac{5}{48 x^{3} \sqrt{1 - \frac{1}{x^{6}}}} - \frac{5}{144 x^{9} \sqrt{1 - \frac{1}{x^{6}}}} - \frac{1}{72 x^{15} \sqrt{1 - \frac{1}{x^{6}}}} - \frac{1}{18 x^{21} \sqrt{1 - \frac{1}{x^{6}}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((5*I*acosh(x**(-3))/48 - 5*I/(48*x**3*sqrt(-1 + x**(-6))) + 5*I/(144*x**9*sqrt(-1 + x**(-6))) + I/(72*x**15*sqrt(-1 + x**(-6))) + I/(18*x**21*sqrt(-1 + x**(-6))), 1/Abs(x**6) > 1), (-5*asin(x**(-3))/48 + 5/(48*x**3*sqrt(1 - 1/x**6)) - 5/(144*x**9*sqrt(1 - 1/x**6)) - 1/(72*x**15*sqrt(1 - 1/x**6)) - 1/(18*x**21*sqrt(1 - 1/x**6)), True))","B",0
550,1,104,0,2.738100," ","integrate(x**14/(x**6-1)**(1/2),x)","\begin{cases} \frac{x^{15}}{12 \sqrt{x^{6} - 1}} + \frac{x^{9}}{24 \sqrt{x^{6} - 1}} - \frac{x^{3}}{8 \sqrt{x^{6} - 1}} + \frac{\operatorname{acosh}{\left(x^{3} \right)}}{8} & \text{for}\: \left|{x^{6}}\right| > 1 \\- \frac{i x^{15}}{12 \sqrt{1 - x^{6}}} - \frac{i x^{9}}{24 \sqrt{1 - x^{6}}} + \frac{i x^{3}}{8 \sqrt{1 - x^{6}}} - \frac{i \operatorname{asin}{\left(x^{3} \right)}}{8} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**15/(12*sqrt(x**6 - 1)) + x**9/(24*sqrt(x**6 - 1)) - x**3/(8*sqrt(x**6 - 1)) + acosh(x**3)/8, Abs(x**6) > 1), (-I*x**15/(12*sqrt(1 - x**6)) - I*x**9/(24*sqrt(1 - x**6)) + I*x**3/(8*sqrt(1 - x**6)) - I*asin(x**3)/8, True))","A",0
551,1,160,0,4.329018," ","integrate((x**6-1)**(1/2)/x**19,x)","\begin{cases} \frac{i \operatorname{acosh}{\left(\frac{1}{x^{3}} \right)}}{48} - \frac{i}{48 x^{3} \sqrt{-1 + \frac{1}{x^{6}}}} + \frac{i}{144 x^{9} \sqrt{-1 + \frac{1}{x^{6}}}} + \frac{5 i}{72 x^{15} \sqrt{-1 + \frac{1}{x^{6}}}} - \frac{i}{18 x^{21} \sqrt{-1 + \frac{1}{x^{6}}}} & \text{for}\: \frac{1}{\left|{x^{6}}\right|} > 1 \\- \frac{\operatorname{asin}{\left(\frac{1}{x^{3}} \right)}}{48} + \frac{1}{48 x^{3} \sqrt{1 - \frac{1}{x^{6}}}} - \frac{1}{144 x^{9} \sqrt{1 - \frac{1}{x^{6}}}} - \frac{5}{72 x^{15} \sqrt{1 - \frac{1}{x^{6}}}} + \frac{1}{18 x^{21} \sqrt{1 - \frac{1}{x^{6}}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((I*acosh(x**(-3))/48 - I/(48*x**3*sqrt(-1 + x**(-6))) + I/(144*x**9*sqrt(-1 + x**(-6))) + 5*I/(72*x**15*sqrt(-1 + x**(-6))) - I/(18*x**21*sqrt(-1 + x**(-6))), 1/Abs(x**6) > 1), (-asin(x**(-3))/48 + 1/(48*x**3*sqrt(1 - 1/x**6)) - 1/(144*x**9*sqrt(1 - 1/x**6)) - 5/(72*x**15*sqrt(1 - 1/x**6)) + 1/(18*x**21*sqrt(1 - 1/x**6)), True))","B",0
552,1,104,0,2.264954," ","integrate(x**8*(x**6-1)**(1/2),x)","\begin{cases} \frac{x^{15}}{12 \sqrt{x^{6} - 1}} - \frac{x^{9}}{8 \sqrt{x^{6} - 1}} + \frac{x^{3}}{24 \sqrt{x^{6} - 1}} - \frac{\operatorname{acosh}{\left(x^{3} \right)}}{24} & \text{for}\: \left|{x^{6}}\right| > 1 \\- \frac{i x^{15}}{12 \sqrt{1 - x^{6}}} + \frac{i x^{9}}{8 \sqrt{1 - x^{6}}} - \frac{i x^{3}}{24 \sqrt{1 - x^{6}}} + \frac{i \operatorname{asin}{\left(x^{3} \right)}}{24} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**15/(12*sqrt(x**6 - 1)) - x**9/(8*sqrt(x**6 - 1)) + x**3/(24*sqrt(x**6 - 1)) - acosh(x**3)/24, Abs(x**6) > 1), (-I*x**15/(12*sqrt(1 - x**6)) + I*x**9/(8*sqrt(1 - x**6)) - I*x**3/(24*sqrt(1 - x**6)) + I*asin(x**3)/24, True))","A",0
553,0,0,0,0.000000," ","integrate((x**6-1)/(x**4+1)**(1/2)/(x**6+1),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)}{\left(x^{2} + 1\right) \sqrt{x^{4} + 1} \left(x^{4} - x^{2} + 1\right)}\, dx"," ",0,"Integral((x - 1)*(x + 1)*(x**2 - x + 1)*(x**2 + x + 1)/((x**2 + 1)*sqrt(x**4 + 1)*(x**4 - x**2 + 1)), x)","F",0
554,1,46,0,2.739215," ","integrate(x**14/(x**6+1)**(1/2),x)","\frac{x^{15}}{12 \sqrt{x^{6} + 1}} - \frac{x^{9}}{24 \sqrt{x^{6} + 1}} - \frac{x^{3}}{8 \sqrt{x^{6} + 1}} + \frac{\operatorname{asinh}{\left(x^{3} \right)}}{8}"," ",0,"x**15/(12*sqrt(x**6 + 1)) - x**9/(24*sqrt(x**6 + 1)) - x**3/(8*sqrt(x**6 + 1)) + asinh(x**3)/8","A",0
555,-1,0,0,0.000000," ","integrate((x**6-1)/x**19/(x**6+1)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
556,0,0,0,0.000000," ","integrate((x**6+1)/(x**4+1)**(1/2)/(-x**6+1),x)","- \int \frac{x^{6}}{x^{6} \sqrt{x^{4} + 1} - \sqrt{x^{4} + 1}}\, dx - \int \frac{1}{x^{6} \sqrt{x^{4} + 1} - \sqrt{x^{4} + 1}}\, dx"," ",0,"-Integral(x**6/(x**6*sqrt(x**4 + 1) - sqrt(x**4 + 1)), x) - Integral(1/(x**6*sqrt(x**4 + 1) - sqrt(x**4 + 1)), x)","F",0
557,0,0,0,0.000000," ","integrate((x**6+1)/(x**4+1)**(1/2)/(x**6-1),x)","\int \frac{\left(x^{2} + 1\right) \left(x^{4} - x^{2} + 1\right)}{\left(x - 1\right) \left(x + 1\right) \sqrt{x^{4} + 1} \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)}\, dx"," ",0,"Integral((x**2 + 1)*(x**4 - x**2 + 1)/((x - 1)*(x + 1)*sqrt(x**4 + 1)*(x**2 - x + 1)*(x**2 + x + 1)), x)","F",0
558,0,0,0,0.000000," ","integrate((x**5-1)*(4*x**5+1)/x/(x**5-a*x-1)/(x**6-x)**(1/2),x)","\int \frac{\left(x - 1\right) \left(4 x^{5} + 1\right) \left(x^{4} + x^{3} + x^{2} + x + 1\right)}{x \sqrt{x \left(x - 1\right) \left(x^{4} + x^{3} + x^{2} + x + 1\right)} \left(- a x + x^{5} - 1\right)}\, dx"," ",0,"Integral((x - 1)*(4*x**5 + 1)*(x**4 + x**3 + x**2 + x + 1)/(x*sqrt(x*(x - 1)*(x**4 + x**3 + x**2 + x + 1))*(-a*x + x**5 - 1)), x)","F",0
559,1,105,0,151.829304," ","integrate((x**3+2)*(x**6+x**3+1)/x**7/(x**3+1)**(1/2),x)","\frac{2 \sqrt{x^{3} + 1}}{3} + \frac{3 \log{\left(-1 + \frac{1}{\sqrt{x^{3} + 1}} \right)}}{4} - \frac{3 \log{\left(1 + \frac{1}{\sqrt{x^{3} + 1}} \right)}}{4} + \frac{1}{12 \left(1 + \frac{1}{\sqrt{x^{3} + 1}}\right)} + \frac{1}{12 \left(1 + \frac{1}{\sqrt{x^{3} + 1}}\right)^{2}} + \frac{1}{12 \left(-1 + \frac{1}{\sqrt{x^{3} + 1}}\right)} - \frac{1}{12 \left(-1 + \frac{1}{\sqrt{x^{3} + 1}}\right)^{2}}"," ",0,"2*sqrt(x**3 + 1)/3 + 3*log(-1 + 1/sqrt(x**3 + 1))/4 - 3*log(1 + 1/sqrt(x**3 + 1))/4 + 1/(12*(1 + 1/sqrt(x**3 + 1))) + 1/(12*(1 + 1/sqrt(x**3 + 1))**2) + 1/(12*(-1 + 1/sqrt(x**3 + 1))) - 1/(12*(-1 + 1/sqrt(x**3 + 1))**2)","B",0
560,-1,0,0,0.000000," ","integrate((4*x**6-x)/(x**5+1)/(a*x**5+a-x)/(x**6+x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
561,-1,0,0,0.000000," ","integrate((x**6+x**3+2)/x/(x**6+1)**(1/4)/(x**9-4*x**6+5*x**3-4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
562,0,0,0,0.000000," ","integrate((1024*x**10-16640*x**9+112000*x**8-401440*x**7+820340*x**6-954733*x**5+615255*x**4-225810*x**3+47250*x**2-5265*x+243)**(1/5),x)","\int \sqrt[5]{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}\, dx"," ",0,"Integral((1024*x**10 - 16640*x**9 + 112000*x**8 - 401440*x**7 + 820340*x**6 - 954733*x**5 + 615255*x**4 - 225810*x**3 + 47250*x**2 - 5265*x + 243)**(1/5), x)","F",0
563,-1,0,0,0.000000," ","integrate((2*a*x**8-b*x**3)/(a*x**6-b*x)**(1/4)/(a*x**10-b*x**5-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
564,0,0,0,0.000000," ","integrate(x**5*(10*a*x**3-7*b)/(a*x**6-b*x**3)**(1/4)/(a*x**10-b*x**7-1),x)","\int \frac{x^{5} \left(10 a x^{3} - 7 b\right)}{\sqrt[4]{x^{3} \left(a x^{3} - b\right)} \left(a x^{10} - b x^{7} - 1\right)}\, dx"," ",0,"Integral(x**5*(10*a*x**3 - 7*b)/((x**3*(a*x**3 - b))**(1/4)*(a*x**10 - b*x**7 - 1)), x)","F",0
565,0,0,0,0.000000," ","integrate(1/x/(-a/b**2+a**2*x**2/b**2)**(1/2)/(a*x**2+b*x*(-a/b**2+a**2*x**2/b**2)**(1/2))**(1/2),x)","\int \frac{1}{x \sqrt{x \left(a x + b \sqrt{\frac{a^{2} x^{2}}{b^{2}} - \frac{a}{b^{2}}}\right)} \sqrt{\frac{a \left(a x^{2} - 1\right)}{b^{2}}}}\, dx"," ",0,"Integral(1/(x*sqrt(x*(a*x + b*sqrt(a**2*x**2/b**2 - a/b**2)))*sqrt(a*(a*x**2 - 1)/b**2)), x)","F",0
566,-1,0,0,0.000000," ","integrate((a*b-2*a*x+x**2)/(x*(-a+x)*(-b+x))**(1/2)/(a*d-(b+d)*x+x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
567,-1,0,0,0.000000," ","integrate((a*b-2*a*x+x**2)/(x*(-a+x)*(-b+x))**(1/2)/(a-(b*d+1)*x+d*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
568,0,0,0,0.000000," ","integrate((x**3-2)*(x**3-x**2+1)**(1/2)/(x**3+1)**2,x)","\int \frac{\left(x^{3} - 2\right) \sqrt{x^{3} - x^{2} + 1}}{\left(x + 1\right)^{2} \left(x^{2} - x + 1\right)^{2}}\, dx"," ",0,"Integral((x**3 - 2)*sqrt(x**3 - x**2 + 1)/((x + 1)**2*(x**2 - x + 1)**2), x)","F",0
569,-1,0,0,0.000000," ","integrate((a**2*b-a*(2*a-b)*x-(-a+2*b)*x**2+x**3)/(x*(-a+x)*(-b+x))**(1/2)/(-a**3+(3*a**2+b*d)*x-(3*a+d)*x**2+x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
570,-1,0,0,0.000000," ","integrate((a**2*b-a*(2*a-b)*x-(-a+2*b)*x**2+x**3)/(x*(-a+x)*(-b+x))**(1/2)/(-a**3*d+(3*a**2*d+b)*x-(3*a*d+1)*x**2+d*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
571,0,0,0,0.000000," ","integrate((2*x**2-3*x)/(x**3+2*x-2)/(3*x**4+2*x**2-2*x)**(1/2),x)","\int \frac{x \left(2 x - 3\right)}{\sqrt{x \left(3 x^{3} + 2 x - 2\right)} \left(x^{3} + 2 x - 2\right)}\, dx"," ",0,"Integral(x*(2*x - 3)/(sqrt(x*(3*x**3 + 2*x - 2))*(x**3 + 2*x - 2)), x)","F",0
572,-1,0,0,0.000000," ","integrate((a*p*x**4-3*b*p*x**2+4*a*q*x)/(p*x**3+q)**(1/2)/(a**2*c*x**4+2*a*b*c*x**2+d*p*x**3+b**2*c+d*q),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
573,1,37,0,2.618306," ","integrate((x**12+1)/x**10/(x**6-1)**(1/2),x)","\frac{\begin{cases} \frac{\sqrt{x^{6} - 1}}{x^{3}} - \frac{\left(x^{6} - 1\right)^{\frac{3}{2}}}{3 x^{9}} & \text{for}\: x > -1 \wedge x < 1 \end{cases}}{3} + \frac{\operatorname{acosh}{\left(x^{3} \right)}}{3}"," ",0,"Piecewise((sqrt(x**6 - 1)/x**3 - (x**6 - 1)**(3/2)/(3*x**9), (x > -1) & (x < 1)))/3 + acosh(x**3)/3","A",0
574,0,0,0,0.000000," ","integrate((x**2-1)/(x**2+1)/(x**20+5*x**16+10*x**12+10*x**8+5*x**4+1)**(1/10),x)","\int \frac{\left(x - 1\right) \left(x + 1\right)}{\left(x^{2} + 1\right) \sqrt[10]{\left(x^{4} + 1\right)^{5}}}\, dx"," ",0,"Integral((x - 1)*(x + 1)/((x**2 + 1)*((x**4 + 1)**5)**(1/10)), x)","F",0
575,0,0,0,0.000000," ","integrate((b+(a*x**2+b**2)**(1/2))**(1/2)/(a*x**2+b**2),x)","\int \frac{\sqrt{b + \sqrt{a x^{2} + b^{2}}}}{a x^{2} + b^{2}}\, dx"," ",0,"Integral(sqrt(b + sqrt(a*x**2 + b**2))/(a*x**2 + b**2), x)","F",0
576,1,15,0,0.994813," ","integrate((x**2+(x**4+1)**(1/2))**(1/2)/(x**4+1)**(1/2),x)","\frac{{G_{3, 3}^{2, 2}\left(\begin{matrix} 1, 1 & \frac{1}{2} \\\frac{1}{4}, \frac{3}{4} & 0 \end{matrix} \middle| {x^{4}} \right)}}{4 \sqrt{\pi}}"," ",0,"meijerg(((1, 1), (1/2,)), ((1/4, 3/4), (0,)), x**4)/(4*sqrt(pi))","A",0
577,1,32,0,0.915712," ","integrate(1/x**3/(x**2+1)**(3/4),x)","- \frac{\Gamma\left(\frac{7}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{7}{4} \\ \frac{11}{4} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{2}}} \right)}}{2 x^{\frac{7}{2}} \Gamma\left(\frac{11}{4}\right)}"," ",0,"-gamma(7/4)*hyper((3/4, 7/4), (11/4,), exp_polar(I*pi)/x**2)/(2*x**(7/2)*gamma(11/4))","C",0
578,1,32,0,0.903260," ","integrate(1/x**4/(x**3+1)**(1/4),x)","- \frac{\Gamma\left(\frac{5}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{4}, \frac{5}{4} \\ \frac{9}{4} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{3}}} \right)}}{3 x^{\frac{15}{4}} \Gamma\left(\frac{9}{4}\right)}"," ",0,"-gamma(5/4)*hyper((1/4, 5/4), (9/4,), exp_polar(I*pi)/x**3)/(3*x**(15/4)*gamma(9/4))","C",0
579,1,34,0,0.901336," ","integrate((x**3+1)**(1/4)/x**4,x)","- \frac{\Gamma\left(\frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{4}, \frac{3}{4} \\ \frac{7}{4} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{3}}} \right)}}{3 x^{\frac{9}{4}} \Gamma\left(\frac{7}{4}\right)}"," ",0,"-gamma(3/4)*hyper((-1/4, 3/4), (7/4,), exp_polar(I*pi)/x**3)/(3*x**(9/4)*gamma(7/4))","C",0
580,0,0,0,0.000000," ","integrate(x**3*(x**4-x)**(1/2),x)","\int x^{3} \sqrt{x \left(x - 1\right) \left(x^{2} + x + 1\right)}\, dx"," ",0,"Integral(x**3*sqrt(x*(x - 1)*(x**2 + x + 1)), x)","F",0
581,-1,0,0,0.000000," ","integrate((x**4+1)*(3*x**4-1)/x/(x**4-a*x+1)/(x**5+x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
582,-1,0,0,0.000000," ","integrate((x**5+x**2+1)**(1/2)*(3*x**5-2)/(x**5+1)/(x**5-x**2+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
583,1,34,0,1.045900," ","integrate((x**6+1)**(1/4)/x**7,x)","- \frac{\Gamma\left(\frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{4}, \frac{3}{4} \\ \frac{7}{4} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{6}}} \right)}}{6 x^{\frac{9}{2}} \Gamma\left(\frac{7}{4}\right)}"," ",0,"-gamma(3/4)*hyper((-1/4, 3/4), (7/4,), exp_polar(I*pi)/x**6)/(6*x**(9/2)*gamma(7/4))","C",0
584,-1,0,0,0.000000," ","integrate((-1+x)**2*(5*x**3+5*x**2-8*x-10)/((1+x)/(x**2-2))**(3/4)/(x**2-2)/(x**6-4*x**5+4*x**4+4*x**3-11*x**2+7*x-3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
585,0,0,0,0.000000," ","integrate(x**2*(9*a*x+10*b)/(a*x**3+b*x**2)**(1/4)/(x**10-a*x-b),x)","\int \frac{x^{2} \left(9 a x + 10 b\right)}{\sqrt[4]{x^{2} \left(a x + b\right)} \left(- a x - b + x^{10}\right)}\, dx"," ",0,"Integral(x**2*(9*a*x + 10*b)/((x**2*(a*x + b))**(1/4)*(-a*x - b + x**10)), x)","F",0
586,-1,0,0,0.000000," ","integrate((x**16-1)/(x**4+1)**(1/2)/(x**16+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
587,-1,0,0,0.000000," ","integrate((x**16-1)/(x**4-1)**(1/2)/(x**16-x**8+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
588,0,0,0,0.000000," ","integrate((x**2+x*(x**2-1)**(1/2))**(1/2)/x/(x**2-1)**(1/2),x)","\int \frac{\sqrt{x \left(x + \sqrt{x^{2} - 1}\right)}}{x \sqrt{\left(x - 1\right) \left(x + 1\right)}}\, dx"," ",0,"Integral(sqrt(x*(x + sqrt(x**2 - 1)))/(x*sqrt((x - 1)*(x + 1))), x)","F",0
589,0,0,0,0.000000," ","integrate(x**6*(x**4+x)**(1/2),x)","\int x^{6} \sqrt{x \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(x**6*sqrt(x*(x + 1)*(x**2 - x + 1)), x)","F",0
590,0,0,0,0.000000," ","integrate((-1+x)*(1+x)**3/(x**2+1)**2/(x**4+x**2+1)**(1/2),x)","\int \frac{\left(x - 1\right) \left(x + 1\right)^{3}}{\sqrt{\left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)} \left(x^{2} + 1\right)^{2}}\, dx"," ",0,"Integral((x - 1)*(x + 1)**3/(sqrt((x**2 - x + 1)*(x**2 + x + 1))*(x**2 + 1)**2), x)","F",0
591,0,0,0,0.000000," ","integrate((x**2-1)/(x**2+1)/(x**4-x**3-x**2-x+1)**(1/2),x)","\int \frac{\left(x - 1\right) \left(x + 1\right)}{\left(x^{2} + 1\right) \sqrt{x^{4} - x^{3} - x^{2} - x + 1}}\, dx"," ",0,"Integral((x - 1)*(x + 1)/((x**2 + 1)*sqrt(x**4 - x**3 - x**2 - x + 1)), x)","F",0
592,0,0,0,0.000000," ","integrate((3*x**2-2*x-1)/(x**6-2*x**5-x**4+4*x**3-x**2-2*x-3)**(1/2),x)","\int \frac{\left(x - 1\right) \left(3 x + 1\right)}{\sqrt{\left(x^{3} - x^{2} - x - 1\right) \left(x^{3} - x^{2} - x + 3\right)}}\, dx"," ",0,"Integral((x - 1)*(3*x + 1)/sqrt((x**3 - x**2 - x - 1)*(x**3 - x**2 - x + 3)), x)","F",0
593,0,0,0,0.000000," ","integrate((x**2-x)/(x**6-2*x**5+x**4-2*x**3+4*x**2-2*x)**(1/2),x)","\int \frac{x \left(x - 1\right)}{\sqrt{x \left(x - 1\right)^{2} \left(x^{3} - 2\right)}}\, dx"," ",0,"Integral(x*(x - 1)/sqrt(x*(x - 1)**2*(x**3 - 2)), x)","F",0
594,1,34,0,0.834511," ","integrate((x**4-1)**(1/4)/x**2,x)","\frac{e^{\frac{i \pi}{4}} \Gamma\left(- \frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{4}, - \frac{1}{4} \\ \frac{3}{4} \end{matrix}\middle| {x^{4}} \right)}}{4 x \Gamma\left(\frac{3}{4}\right)}"," ",0,"exp(I*pi/4)*gamma(-1/4)*hyper((-1/4, -1/4), (3/4,), x**4)/(4*x*gamma(3/4))","C",0
595,1,56,0,37.101178," ","integrate((x**4-1)*(x**4+1)**(1/4)/x,x)","\frac{\left(x^{4} + 1\right)^{\frac{5}{4}}}{5} - \sqrt[4]{x^{4} + 1} - \frac{\log{\left(\sqrt[4]{x^{4} + 1} - 1 \right)}}{4} + \frac{\log{\left(\sqrt[4]{x^{4} + 1} + 1 \right)}}{4} + \frac{\operatorname{atan}{\left(\sqrt[4]{x^{4} + 1} \right)}}{2}"," ",0,"(x**4 + 1)**(5/4)/5 - (x**4 + 1)**(1/4) - log((x**4 + 1)**(1/4) - 1)/4 + log((x**4 + 1)**(1/4) + 1)/4 + atan((x**4 + 1)**(1/4))/2","A",0
596,0,0,0,0.000000," ","integrate(1/(x**4+4*x+3)**(1/2),x)","\int \frac{1}{\sqrt{x^{4} + 4 x + 3}}\, dx"," ",0,"Integral(1/sqrt(x**4 + 4*x + 3), x)","F",0
597,0,0,0,0.000000," ","integrate((x**4+1)*(x**4+2*x**2-1)**(1/2)/(x**4-1)/(x**4+x**2-1),x)","\int \frac{\left(x^{4} + 1\right) \sqrt{x^{4} + 2 x^{2} - 1}}{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \left(x^{4} + x^{2} - 1\right)}\, dx"," ",0,"Integral((x**4 + 1)*sqrt(x**4 + 2*x**2 - 1)/((x - 1)*(x + 1)*(x**2 + 1)*(x**4 + x**2 - 1)), x)","F",0
598,-1,0,0,0.000000," ","integrate((x**4-x**2+x-1)**(1/2)*(2*x**4-x+2)/(x**4+x-1)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
599,-1,0,0,0.000000," ","integrate((3*x**5+x)/(x**4-1)/(a*x**4-a-x)/(x**5-x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
600,-1,0,0,0.000000," ","integrate((x**6+x**2+1)**(1/2)*(2*x**6-1)/(x**6+1)/(2*x**6-x**2+2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
601,-1,0,0,0.000000," ","integrate((4*x**6+x)/(x**5-1)/(a*x**5-a-x)/(x**6-x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
602,-1,0,0,0.000000," ","integrate((6*x**4-1)*(2*x**5+x)**(1/2)/(2*x**4+1)/(4*x**8+4*x**4-x**2+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
603,1,184,0,0.803047," ","integrate((1+(1+x)**(1/2))**(1/2),x)","\frac{12 \left(x + 1\right)^{\frac{7}{2}} \sqrt{\sqrt{x + 1} + 1}}{15 \left(x + 1\right)^{\frac{5}{2}} + 15 \left(x + 1\right)^{2}} - \frac{4 \left(x + 1\right)^{\frac{5}{2}} \sqrt{\sqrt{x + 1} + 1}}{15 \left(x + 1\right)^{\frac{5}{2}} + 15 \left(x + 1\right)^{2}} + \frac{8 \left(x + 1\right)^{\frac{5}{2}}}{15 \left(x + 1\right)^{\frac{5}{2}} + 15 \left(x + 1\right)^{2}} + \frac{16 \left(x + 1\right)^{3} \sqrt{\sqrt{x + 1} + 1}}{15 \left(x + 1\right)^{\frac{5}{2}} + 15 \left(x + 1\right)^{2}} - \frac{8 \left(x + 1\right)^{2} \sqrt{\sqrt{x + 1} + 1}}{15 \left(x + 1\right)^{\frac{5}{2}} + 15 \left(x + 1\right)^{2}} + \frac{8 \left(x + 1\right)^{2}}{15 \left(x + 1\right)^{\frac{5}{2}} + 15 \left(x + 1\right)^{2}}"," ",0,"12*(x + 1)**(7/2)*sqrt(sqrt(x + 1) + 1)/(15*(x + 1)**(5/2) + 15*(x + 1)**2) - 4*(x + 1)**(5/2)*sqrt(sqrt(x + 1) + 1)/(15*(x + 1)**(5/2) + 15*(x + 1)**2) + 8*(x + 1)**(5/2)/(15*(x + 1)**(5/2) + 15*(x + 1)**2) + 16*(x + 1)**3*sqrt(sqrt(x + 1) + 1)/(15*(x + 1)**(5/2) + 15*(x + 1)**2) - 8*(x + 1)**2*sqrt(sqrt(x + 1) + 1)/(15*(x + 1)**(5/2) + 15*(x + 1)**2) + 8*(x + 1)**2/(15*(x + 1)**(5/2) + 15*(x + 1)**2)","B",0
604,1,49,0,1.140045," ","integrate((1+(x**2+1)**(1/2))**(1/2)/x,x)","\frac{x^{2} \Gamma\left(\frac{3}{4}\right) \Gamma\left(\frac{5}{4}\right) {{}_{4}F_{3}\left(\begin{matrix} \frac{3}{4}, 1, 1, \frac{5}{4} \\ \frac{3}{2}, 2, 2 \end{matrix}\middle| {x^{2} e^{i \pi}} \right)}}{4 \pi} + \frac{\log{\left(x^{2} \right)} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{2 \pi}"," ",0,"x**2*gamma(3/4)*gamma(5/4)*hyper((3/4, 1, 1, 5/4), (3/2, 2, 2), x**2*exp_polar(I*pi))/(4*pi) + log(x**2)*gamma(1/4)*gamma(3/4)/(2*pi)","C",0
605,0,0,0,0.000000," ","integrate(1/(1+(x**2-6*x+9)**(1/4)),x)","\int \frac{1}{\sqrt[4]{x^{2} - 6 x + 9} + 1}\, dx"," ",0,"Integral(1/((x**2 - 6*x + 9)**(1/4) + 1), x)","F",0
606,0,0,0,0.000000," ","integrate(x**2/(x**2-2)/(x**2-1)**(3/4),x)","\int \frac{x^{2}}{\left(\left(x - 1\right) \left(x + 1\right)\right)^{\frac{3}{4}} \left(x^{2} - 2\right)}\, dx"," ",0,"Integral(x**2/(((x - 1)*(x + 1))**(3/4)*(x**2 - 2)), x)","F",0
607,0,0,0,0.000000," ","integrate((x**2-1)*(x**4+1)**(1/2)/(x**2+1)**3,x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \sqrt{x^{4} + 1}}{\left(x^{2} + 1\right)^{3}}\, dx"," ",0,"Integral((x - 1)*(x + 1)*sqrt(x**4 + 1)/(x**2 + 1)**3, x)","F",0
608,0,0,0,0.000000," ","integrate((5*x**2-46*x+77)/(-23*x**2+82*x-23)/(x**4-3*x**3-21*x**2+83*x-60)**(1/2),x)","- \int \left(- \frac{46 x}{23 x^{2} \sqrt{x^{4} - 3 x^{3} - 21 x^{2} + 83 x - 60} - 82 x \sqrt{x^{4} - 3 x^{3} - 21 x^{2} + 83 x - 60} + 23 \sqrt{x^{4} - 3 x^{3} - 21 x^{2} + 83 x - 60}}\right)\, dx - \int \frac{5 x^{2}}{23 x^{2} \sqrt{x^{4} - 3 x^{3} - 21 x^{2} + 83 x - 60} - 82 x \sqrt{x^{4} - 3 x^{3} - 21 x^{2} + 83 x - 60} + 23 \sqrt{x^{4} - 3 x^{3} - 21 x^{2} + 83 x - 60}}\, dx - \int \frac{77}{23 x^{2} \sqrt{x^{4} - 3 x^{3} - 21 x^{2} + 83 x - 60} - 82 x \sqrt{x^{4} - 3 x^{3} - 21 x^{2} + 83 x - 60} + 23 \sqrt{x^{4} - 3 x^{3} - 21 x^{2} + 83 x - 60}}\, dx"," ",0,"-Integral(-46*x/(23*x**2*sqrt(x**4 - 3*x**3 - 21*x**2 + 83*x - 60) - 82*x*sqrt(x**4 - 3*x**3 - 21*x**2 + 83*x - 60) + 23*sqrt(x**4 - 3*x**3 - 21*x**2 + 83*x - 60)), x) - Integral(5*x**2/(23*x**2*sqrt(x**4 - 3*x**3 - 21*x**2 + 83*x - 60) - 82*x*sqrt(x**4 - 3*x**3 - 21*x**2 + 83*x - 60) + 23*sqrt(x**4 - 3*x**3 - 21*x**2 + 83*x - 60)), x) - Integral(77/(23*x**2*sqrt(x**4 - 3*x**3 - 21*x**2 + 83*x - 60) - 82*x*sqrt(x**4 - 3*x**3 - 21*x**2 + 83*x - 60) + 23*sqrt(x**4 - 3*x**3 - 21*x**2 + 83*x - 60)), x)","F",0
609,0,0,0,0.000000," ","integrate((-1+x)*(x**4+x**3)**(1/4)/x/(1+x),x)","\int \frac{\sqrt[4]{x^{3} \left(x + 1\right)} \left(x - 1\right)}{x \left(x + 1\right)}\, dx"," ",0,"Integral((x**3*(x + 1))**(1/4)*(x - 1)/(x*(x + 1)), x)","F",0
610,0,0,0,0.000000," ","integrate((x**4-1)*(x**4+x**3)**(1/4)/x**8,x)","\int \frac{\sqrt[4]{x^{3} \left(x + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}{x^{8}}\, dx"," ",0,"Integral((x**3*(x + 1))**(1/4)*(x - 1)*(x + 1)*(x**2 + 1)/x**8, x)","F",0
611,-1,0,0,0.000000," ","integrate((4*x**4-4*x**2+4*x-1)/((-2*x**2+1)/(2*x**2+1))**(1/2)/(2*x**2+1)/(4*x**4-8*x**3+12*x**2-4*x-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
612,0,0,0,0.000000," ","integrate((x**4-3)*(x**4-2*x**3+1)*(x**4-x**3+1)/x**6/(x**4+1)/(x**5+x)**(1/4),x)","\int \frac{\left(x - 1\right) \left(x^{4} - 3\right) \left(x^{4} - x^{3} + 1\right) \left(x^{3} - x^{2} - x - 1\right)}{x^{6} \sqrt[4]{x \left(x^{4} + 1\right)} \left(x^{4} + 1\right)}\, dx"," ",0,"Integral((x - 1)*(x**4 - 3)*(x**4 - x**3 + 1)*(x**3 - x**2 - x - 1)/(x**6*(x*(x**4 + 1))**(1/4)*(x**4 + 1)), x)","F",0
613,1,143,0,4.681011," ","integrate(x**20/(x**6-1)**(1/2),x)","\begin{cases} \frac{x^{21}}{18 \sqrt{x^{6} - 1}} + \frac{x^{15}}{72 \sqrt{x^{6} - 1}} + \frac{5 x^{9}}{144 \sqrt{x^{6} - 1}} - \frac{5 x^{3}}{48 \sqrt{x^{6} - 1}} + \frac{5 \operatorname{acosh}{\left(x^{3} \right)}}{48} & \text{for}\: \left|{x^{6}}\right| > 1 \\- \frac{i x^{21}}{18 \sqrt{1 - x^{6}}} - \frac{i x^{15}}{72 \sqrt{1 - x^{6}}} - \frac{5 i x^{9}}{144 \sqrt{1 - x^{6}}} + \frac{5 i x^{3}}{48 \sqrt{1 - x^{6}}} - \frac{5 i \operatorname{asin}{\left(x^{3} \right)}}{48} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**21/(18*sqrt(x**6 - 1)) + x**15/(72*sqrt(x**6 - 1)) + 5*x**9/(144*sqrt(x**6 - 1)) - 5*x**3/(48*sqrt(x**6 - 1)) + 5*acosh(x**3)/48, Abs(x**6) > 1), (-I*x**21/(18*sqrt(1 - x**6)) - I*x**15/(72*sqrt(1 - x**6)) - 5*I*x**9/(144*sqrt(1 - x**6)) + 5*I*x**3/(48*sqrt(1 - x**6)) - 5*I*asin(x**3)/48, True))","A",0
614,1,136,0,3.835298," ","integrate(x**14*(x**6-1)**(1/2),x)","\begin{cases} \frac{x^{21}}{18 \sqrt{x^{6} - 1}} - \frac{5 x^{15}}{72 \sqrt{x^{6} - 1}} - \frac{x^{9}}{144 \sqrt{x^{6} - 1}} + \frac{x^{3}}{48 \sqrt{x^{6} - 1}} - \frac{\operatorname{acosh}{\left(x^{3} \right)}}{48} & \text{for}\: \left|{x^{6}}\right| > 1 \\- \frac{i x^{21}}{18 \sqrt{1 - x^{6}}} + \frac{5 i x^{15}}{72 \sqrt{1 - x^{6}}} + \frac{i x^{9}}{144 \sqrt{1 - x^{6}}} - \frac{i x^{3}}{48 \sqrt{1 - x^{6}}} + \frac{i \operatorname{asin}{\left(x^{3} \right)}}{48} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**21/(18*sqrt(x**6 - 1)) - 5*x**15/(72*sqrt(x**6 - 1)) - x**9/(144*sqrt(x**6 - 1)) + x**3/(48*sqrt(x**6 - 1)) - acosh(x**3)/48, Abs(x**6) > 1), (-I*x**21/(18*sqrt(1 - x**6)) + 5*I*x**15/(72*sqrt(1 - x**6)) + I*x**9/(144*sqrt(1 - x**6)) - I*x**3/(48*sqrt(1 - x**6)) + I*asin(x**3)/48, True))","A",0
615,1,65,0,4.721335," ","integrate(x**20/(x**6+1)**(1/2),x)","\frac{x^{21}}{18 \sqrt{x^{6} + 1}} - \frac{x^{15}}{72 \sqrt{x^{6} + 1}} + \frac{5 x^{9}}{144 \sqrt{x^{6} + 1}} + \frac{5 x^{3}}{48 \sqrt{x^{6} + 1}} - \frac{5 \operatorname{asinh}{\left(x^{3} \right)}}{48}"," ",0,"x**21/(18*sqrt(x**6 + 1)) - x**15/(72*sqrt(x**6 + 1)) + 5*x**9/(144*sqrt(x**6 + 1)) + 5*x**3/(48*sqrt(x**6 + 1)) - 5*asinh(x**3)/48","A",0
616,0,0,0,0.000000," ","integrate((-4*x**6+x)/(x**6+x)**(1/2)/(x**10+2*x**5-a*x**2+1),x)","- \int \left(- \frac{x}{- a x^{2} \sqrt{x^{6} + x} + x^{10} \sqrt{x^{6} + x} + 2 x^{5} \sqrt{x^{6} + x} + \sqrt{x^{6} + x}}\right)\, dx - \int \frac{4 x^{6}}{- a x^{2} \sqrt{x^{6} + x} + x^{10} \sqrt{x^{6} + x} + 2 x^{5} \sqrt{x^{6} + x} + \sqrt{x^{6} + x}}\, dx"," ",0,"-Integral(-x/(-a*x**2*sqrt(x**6 + x) + x**10*sqrt(x**6 + x) + 2*x**5*sqrt(x**6 + x) + sqrt(x**6 + x)), x) - Integral(4*x**6/(-a*x**2*sqrt(x**6 + x) + x**10*sqrt(x**6 + x) + 2*x**5*sqrt(x**6 + x) + sqrt(x**6 + x)), x)","F",0
617,0,0,0,0.000000," ","integrate((4*x**6-x)/(x**6+x)**(1/2)/(a*x**10+2*a*x**5-x**2+a),x)","\int \frac{x \left(4 x^{5} - 1\right)}{\sqrt{x \left(x + 1\right) \left(x^{4} - x^{3} + x^{2} - x + 1\right)} \left(a x^{10} + 2 a x^{5} + a - x^{2}\right)}\, dx"," ",0,"Integral(x*(4*x**5 - 1)/(sqrt(x*(x + 1)*(x**4 - x**3 + x**2 - x + 1))*(a*x**10 + 2*a*x**5 + a - x**2)), x)","F",0
618,0,0,0,0.000000," ","integrate((1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(x**2+1)**(1/2),x)","\int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{\sqrt{x^{2} + 1}}\, dx"," ",0,"Integral(sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/sqrt(x**2 + 1), x)","F",0
619,-1,0,0,0.000000," ","integrate((2*a*x-3*b)/(a*x**2-b*x)**(1/4)/(x**3-a*x+b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
620,-1,0,0,0.000000," ","integrate((x**3-4)*(x**3-x**2+2)**(1/2)/(x**3+2)/(x**3+x**2+2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
621,1,36,0,0.868612," ","integrate(x**2*(x**4-1)**(1/4),x)","- \frac{x^{3} e^{- \frac{3 i \pi}{4}} \Gamma\left(\frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{4}, \frac{3}{4} \\ \frac{7}{4} \end{matrix}\middle| {x^{4}} \right)}}{4 \Gamma\left(\frac{7}{4}\right)}"," ",0,"-x**3*exp(-3*I*pi/4)*gamma(3/4)*hyper((-1/4, 3/4), (7/4,), x**4)/(4*gamma(7/4))","C",0
622,1,31,0,0.823310," ","integrate(x**2*(x**4+1)**(1/4),x)","\frac{x^{3} \Gamma\left(\frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{4}, \frac{3}{4} \\ \frac{7}{4} \end{matrix}\middle| {x^{4} e^{i \pi}} \right)}}{4 \Gamma\left(\frac{7}{4}\right)}"," ",0,"x**3*gamma(3/4)*hyper((-1/4, 3/4), (7/4,), x**4*exp_polar(I*pi))/(4*gamma(7/4))","C",0
623,0,0,0,0.000000," ","integrate((a*x**3-b)*(x**4+x)**(1/2)/x**3,x)","\int \frac{\sqrt{x \left(x + 1\right) \left(x^{2} - x + 1\right)} \left(a x^{3} - b\right)}{x^{3}}\, dx"," ",0,"Integral(sqrt(x*(x + 1)*(x**2 - x + 1))*(a*x**3 - b)/x**3, x)","F",0
624,0,0,0,0.000000," ","integrate(1/(x**4-2)/(x**4+x**2)**(1/4),x)","\int \frac{1}{\sqrt[4]{x^{2} \left(x^{2} + 1\right)} \left(x^{4} - 2\right)}\, dx"," ",0,"Integral(1/((x**2*(x**2 + 1))**(1/4)*(x**4 - 2)), x)","F",0
625,-1,0,0,0.000000," ","integrate((a*x**3-4*b)/(a*x**3-b)**(1/4)/(-a*x**3+x**4+b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
626,-1,0,0,0.000000," ","integrate((3*x**5-x)/(x**4+1)/(a*x**4+a-x)/(x**5+x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
627,1,49,0,4.251048," ","integrate((x**3-1)*(x**6-1)**(1/2)/x**10,x)","- \frac{\begin{cases} \frac{\left(x^{6} - 1\right)^{\frac{3}{2}}}{3 x^{9}} & \text{for}\: x > -1 \wedge x < 1 \end{cases}}{3} + \frac{\begin{cases} \frac{\operatorname{acos}{\left(\frac{1}{x^{3}} \right)}}{2} - \frac{\sqrt{1 - \frac{1}{x^{6}}}}{2 x^{3}} & \text{for}\: x > -1 \wedge x < 1 \end{cases}}{3}"," ",0,"-Piecewise(((x**6 - 1)**(3/2)/(3*x**9), (x > -1) & (x < 1)))/3 + Piecewise((acos(x**(-3))/2 - sqrt(1 - 1/x**6)/(2*x**3), (x > -1) & (x < 1)))/3","A",0
628,-1,0,0,0.000000," ","integrate((x**6+1)/(x**5-x**3)**(1/4)/(-x**6+x**3+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
629,-1,0,0,0.000000," ","integrate((x**6+1)/(x**5-x**3)**(1/4)/(-x**6+x**3+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
630,0,0,0,0.000000," ","integrate(x*(5*a*x+6*b)/(a*x**3+b*x**2)**(1/4)/(x**6-a*x-b),x)","\int \frac{x \left(5 a x + 6 b\right)}{\sqrt[4]{x^{2} \left(a x + b\right)} \left(- a x - b + x^{6}\right)}\, dx"," ",0,"Integral(x*(5*a*x + 6*b)/((x**2*(a*x + b))**(1/4)*(-a*x - b + x**6)), x)","F",0
631,0,0,0,0.000000," ","integrate((x**5-1)**(1/2)*(3*x**5+2)/(x**10-a*x**4-2*x**5+1),x)","\int \frac{\sqrt{\left(x - 1\right) \left(x^{4} + x^{3} + x^{2} + x + 1\right)} \left(3 x^{5} + 2\right)}{- a x^{4} + x^{10} - 2 x^{5} + 1}\, dx"," ",0,"Integral(sqrt((x - 1)*(x**4 + x**3 + x**2 + x + 1))*(3*x**5 + 2)/(-a*x**4 + x**10 - 2*x**5 + 1), x)","F",0
632,0,0,0,0.000000," ","integrate((x**5-1)**(1/2)*(3*x**5+2)/(a*x**10-2*a*x**5-x**4+a),x)","\int \frac{\sqrt{\left(x - 1\right) \left(x^{4} + x^{3} + x^{2} + x + 1\right)} \left(3 x^{5} + 2\right)}{a x^{10} - 2 a x^{5} + a - x^{4}}\, dx"," ",0,"Integral(sqrt((x - 1)*(x**4 + x**3 + x**2 + x + 1))*(3*x**5 + 2)/(a*x**10 - 2*a*x**5 + a - x**4), x)","F",0
633,0,0,0,0.000000," ","integrate((x**5+1)**(1/2)*(3*x**5-2)/(a*x**10+2*a*x**5-x**4+a),x)","\int \frac{\sqrt{\left(x + 1\right) \left(x^{4} - x^{3} + x^{2} - x + 1\right)} \left(3 x^{5} - 2\right)}{a x^{10} + 2 a x^{5} + a - x^{4}}\, dx"," ",0,"Integral(sqrt((x + 1)*(x**4 - x**3 + x**2 - x + 1))*(3*x**5 - 2)/(a*x**10 + 2*a*x**5 + a - x**4), x)","F",0
634,1,32,0,0.727024," ","integrate(1/(1+(x**2+1)**(1/2))**(1/2),x)","\frac{x \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right) {{}_{3}F_{2}\left(\begin{matrix} \frac{1}{4}, \frac{1}{2}, \frac{3}{4} \\ \frac{3}{2}, \frac{3}{2} \end{matrix}\middle| {x^{2} e^{i \pi}} \right)}}{2 \pi}"," ",0,"x*gamma(1/4)*gamma(3/4)*hyper((1/4, 1/2, 3/4), (3/2, 3/2), x**2*exp_polar(I*pi))/(2*pi)","C",0
635,0,0,0,0.000000," ","integrate(x**6*(x**4-x)**(1/2),x)","\int x^{6} \sqrt{x \left(x - 1\right) \left(x^{2} + x + 1\right)}\, dx"," ",0,"Integral(x**6*sqrt(x*(x - 1)*(x**2 + x + 1)), x)","F",0
636,0,0,0,0.000000," ","integrate((x**2-1)*(x**4-x**3)**(1/4)/x**8,x)","\int \frac{\sqrt[4]{x^{3} \left(x - 1\right)} \left(x - 1\right) \left(x + 1\right)}{x^{8}}\, dx"," ",0,"Integral((x**3*(x - 1))**(1/4)*(x - 1)*(x + 1)/x**8, x)","F",0
637,0,0,0,0.000000," ","integrate((x**3-1)*(x**6-1)**(1/2)/x/(x**3+1),x)","\int \frac{\sqrt{\left(x - 1\right) \left(x + 1\right) \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)} \left(x - 1\right) \left(x^{2} + x + 1\right)}{x \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(sqrt((x - 1)*(x + 1)*(x**2 - x + 1)*(x**2 + x + 1))*(x - 1)*(x**2 + x + 1)/(x*(x + 1)*(x**2 - x + 1)), x)","F",0
638,0,0,0,0.000000," ","integrate((x**3+1)*(x**6-1)**(1/2)/x/(x**3-1),x)","\int \frac{\sqrt{\left(x - 1\right) \left(x + 1\right) \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)} \left(x + 1\right) \left(x^{2} - x + 1\right)}{x \left(x - 1\right) \left(x^{2} + x + 1\right)}\, dx"," ",0,"Integral(sqrt((x - 1)*(x + 1)*(x**2 - x + 1)*(x**2 + x + 1))*(x + 1)*(x**2 - x + 1)/(x*(x - 1)*(x**2 + x + 1)), x)","F",0
639,-1,0,0,0.000000," ","integrate((a*x**4+2*b)/(a*x**4+b)**(1/4)/(x**8-2*a*x**4-2*b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
640,-1,0,0,0.000000," ","integrate((a*x**4+2*b)/(a*x**4+b)**(1/4)/(x**8-2*a*x**4-2*b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
641,-1,0,0,0.000000," ","integrate((x**6-1)*(x**6+1)/(x**7-x**4+x)**(1/4)/(x**12+3*x**6+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
642,1,197,0,0.968235," ","integrate((1+(x**2+1)**(1/2))**(1/2),x)","- \frac{\sqrt{2} x^{3} \Gamma\left(- \frac{1}{4}\right) \Gamma\left(\frac{1}{4}\right)}{12 \pi \sqrt{x^{2} + 1} \sqrt{\sqrt{x^{2} + 1} + 1} + 12 \pi \sqrt{\sqrt{x^{2} + 1} + 1}} - \frac{3 \sqrt{2} x \sqrt{x^{2} + 1} \Gamma\left(- \frac{1}{4}\right) \Gamma\left(\frac{1}{4}\right)}{12 \pi \sqrt{x^{2} + 1} \sqrt{\sqrt{x^{2} + 1} + 1} + 12 \pi \sqrt{\sqrt{x^{2} + 1} + 1}} - \frac{3 \sqrt{2} x \Gamma\left(- \frac{1}{4}\right) \Gamma\left(\frac{1}{4}\right)}{12 \pi \sqrt{x^{2} + 1} \sqrt{\sqrt{x^{2} + 1} + 1} + 12 \pi \sqrt{\sqrt{x^{2} + 1} + 1}}"," ",0,"-sqrt(2)*x**3*gamma(-1/4)*gamma(1/4)/(12*pi*sqrt(x**2 + 1)*sqrt(sqrt(x**2 + 1) + 1) + 12*pi*sqrt(sqrt(x**2 + 1) + 1)) - 3*sqrt(2)*x*sqrt(x**2 + 1)*gamma(-1/4)*gamma(1/4)/(12*pi*sqrt(x**2 + 1)*sqrt(sqrt(x**2 + 1) + 1) + 12*pi*sqrt(sqrt(x**2 + 1) + 1)) - 3*sqrt(2)*x*gamma(-1/4)*gamma(1/4)/(12*pi*sqrt(x**2 + 1)*sqrt(sqrt(x**2 + 1) + 1) + 12*pi*sqrt(sqrt(x**2 + 1) + 1))","B",0
643,1,37,0,0.877184," ","integrate((1+(x**2+1)**(1/2))**(1/2)/x**2,x)","\frac{\Gamma\left(- \frac{1}{4}\right) \Gamma\left(\frac{1}{4}\right) {{}_{3}F_{2}\left(\begin{matrix} - \frac{1}{2}, - \frac{1}{4}, \frac{1}{4} \\ \frac{1}{2}, \frac{1}{2} \end{matrix}\middle| {x^{2} e^{i \pi}} \right)}}{4 \pi x}"," ",0,"gamma(-1/4)*gamma(1/4)*hyper((-1/2, -1/4, 1/4), (1/2, 1/2), x**2*exp_polar(I*pi))/(4*pi*x)","C",0
644,1,41,0,0.925391," ","integrate(1/x/(a*x**2+b)**(3/4),x)","- \frac{\Gamma\left(\frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{3}{4} \\ \frac{7}{4} \end{matrix}\middle| {\frac{b e^{i \pi}}{a x^{2}}} \right)}}{2 a^{\frac{3}{4}} x^{\frac{3}{2}} \Gamma\left(\frac{7}{4}\right)}"," ",0,"-gamma(3/4)*hyper((3/4, 3/4), (7/4,), b*exp_polar(I*pi)/(a*x**2))/(2*a**(3/4)*x**(3/2)*gamma(7/4))","C",0
645,0,0,0,0.000000," ","integrate((-7+x)/(-11+5*x)/(x**4-3*x**3-21*x**2+83*x-60)**(1/2),x)","\int \frac{x - 7}{\sqrt{\left(x - 4\right) \left(x - 3\right) \left(x - 1\right) \left(x + 5\right)} \left(5 x - 11\right)}\, dx"," ",0,"Integral((x - 7)/(sqrt((x - 4)*(x - 3)*(x - 1)*(x + 5))*(5*x - 11)), x)","F",0
646,1,46,0,19.828282," ","integrate((x**6-2)*(x**6-1)**(1/2)/x/(x**6+2),x)","\frac{\sqrt{x^{6} - 1}}{3} - \frac{2 \sqrt{3} \operatorname{atan}{\left(\frac{\sqrt{3} \sqrt{x^{6} - 1}}{3} \right)}}{3} + \frac{\operatorname{atan}{\left(\sqrt{x^{6} - 1} \right)}}{3}"," ",0,"sqrt(x**6 - 1)/3 - 2*sqrt(3)*atan(sqrt(3)*sqrt(x**6 - 1)/3)/3 + atan(sqrt(x**6 - 1))/3","A",0
647,-1,0,0,0.000000," ","integrate((x**6-x**2-1)**(1/2)*(2*x**6+1)/(x**6-1)/(2*x**6+x**2-2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
648,0,0,0,0.000000," ","integrate(x*(5*a*x**3-8*b)/(a*x**3-b)**(1/4)/(x**8-a*x**3+b),x)","\int \frac{x \left(5 a x^{3} - 8 b\right)}{\sqrt[4]{a x^{3} - b} \left(- a x^{3} + b + x^{8}\right)}\, dx"," ",0,"Integral(x*(5*a*x**3 - 8*b)/((a*x**3 - b)**(1/4)*(-a*x**3 + b + x**8)), x)","F",0
649,-1,0,0,0.000000," ","integrate((-9*x**3-x**2+16*x+2)/((1+x)/(x**2-2))**(1/4)/(x**2-2)/(x**9-x**8-5*x**7+5*x**6+9*x**5-9*x**4-7*x**3+7*x**2+2*x-3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
650,0,0,0,0.000000," ","integrate((7*x**8-1)/(x**8+1)/(3*x**16-x**9+6*x**8+x**2-x+3)**(1/2),x)","\int \frac{7 x^{8} - 1}{\left(x^{8} + 1\right) \sqrt{3 x^{16} - x^{9} + 6 x^{8} + x^{2} - x + 3}}\, dx"," ",0,"Integral((7*x**8 - 1)/((x**8 + 1)*sqrt(3*x**16 - x**9 + 6*x**8 + x**2 - x + 3)), x)","F",0
651,1,34,0,1.191278," ","integrate((1+(x**2+1)**(1/2))**(1/2)/x**2/(x**2+1)**(1/2),x)","- \frac{\Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right) {{}_{3}F_{2}\left(\begin{matrix} - \frac{1}{2}, \frac{1}{4}, \frac{3}{4} \\ \frac{1}{2}, \frac{1}{2} \end{matrix}\middle| {x^{2} e^{i \pi}} \right)}}{\pi x}"," ",0,"-gamma(1/4)*gamma(3/4)*hyper((-1/2, 1/4, 3/4), (1/2, 1/2), x**2*exp_polar(I*pi))/(pi*x)","C",0
652,0,0,0,0.000000," ","integrate(x/(x+(1+(1+x)**(1/2))**(1/2)),x)","\int \frac{x}{x + \sqrt{\sqrt{x + 1} + 1}}\, dx"," ",0,"Integral(x/(x + sqrt(sqrt(x + 1) + 1)), x)","F",0
653,0,0,0,0.000000," ","integrate((a+2*x)/(a*x+x**2+b)**(1/4)/(2*a*x+2*x**2+2*b-1),x)","\int \frac{a + 2 x}{\sqrt[4]{a x + b + x^{2}} \left(2 a x + 2 b + 2 x^{2} - 1\right)}\, dx"," ",0,"Integral((a + 2*x)/((a*x + b + x**2)**(1/4)*(2*a*x + 2*b + 2*x**2 - 1)), x)","F",0
654,1,32,0,1.163640," ","integrate(1/x**7/(x**3+1)**(1/4),x)","- \frac{\Gamma\left(\frac{9}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{4}, \frac{9}{4} \\ \frac{13}{4} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{3}}} \right)}}{3 x^{\frac{27}{4}} \Gamma\left(\frac{13}{4}\right)}"," ",0,"-gamma(9/4)*hyper((1/4, 9/4), (13/4,), exp_polar(I*pi)/x**3)/(3*x**(27/4)*gamma(13/4))","C",0
655,1,34,0,1.155838," ","integrate((x**3+1)**(1/4)/x**7,x)","- \frac{\Gamma\left(\frac{7}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{4}, \frac{7}{4} \\ \frac{11}{4} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{3}}} \right)}}{3 x^{\frac{21}{4}} \Gamma\left(\frac{11}{4}\right)}"," ",0,"-gamma(7/4)*hyper((-1/4, 7/4), (11/4,), exp_polar(I*pi)/x**3)/(3*x**(21/4)*gamma(11/4))","C",0
656,1,78,0,20.739687," ","integrate((a*x**3+b)**(1/2)*(a*x**3+2*b)/x,x)","- \frac{a \left(\begin{cases} - \sqrt{b} x^{3} & \text{for}\: a = 0 \\- \frac{2 \left(a x^{3} + b\right)^{\frac{3}{2}}}{3 a} & \text{otherwise} \end{cases}\right)}{3} - \frac{2 b \left(- \frac{2 b \operatorname{atan}{\left(\frac{\sqrt{a x^{3} + b}}{\sqrt{- b}} \right)}}{\sqrt{- b}} - 2 \sqrt{a x^{3} + b}\right)}{3}"," ",0,"-a*Piecewise((-sqrt(b)*x**3, Eq(a, 0)), (-2*(a*x**3 + b)**(3/2)/(3*a), True))/3 - 2*b*(-2*b*atan(sqrt(a*x**3 + b)/sqrt(-b))/sqrt(-b) - 2*sqrt(a*x**3 + b))/3","A",0
657,0,0,0,0.000000," ","integrate((x**3+1)*(x**6-1)**(1/2)/x**13/(x**3-1),x)","\int \frac{\sqrt{\left(x - 1\right) \left(x + 1\right) \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)} \left(x + 1\right) \left(x^{2} - x + 1\right)}{x^{13} \left(x - 1\right) \left(x^{2} + x + 1\right)}\, dx"," ",0,"Integral(sqrt((x - 1)*(x + 1)*(x**2 - x + 1)*(x**2 + x + 1))*(x + 1)*(x**2 - x + 1)/(x**13*(x - 1)*(x**2 + x + 1)), x)","F",0
658,0,0,0,0.000000," ","integrate((x**4+x)**(1/2)*(a*x**6-b)/x**6,x)","\int \frac{\sqrt{x \left(x + 1\right) \left(x^{2} - x + 1\right)} \left(a x^{6} - b\right)}{x^{6}}\, dx"," ",0,"Integral(sqrt(x*(x + 1)*(x**2 - x + 1))*(a*x**6 - b)/x**6, x)","F",0
659,0,0,0,0.000000," ","integrate((5*a*x**3-7*b*x)/(a*x**3-b*x)**(1/4)/(x**7-a*x**2+b),x)","\int \frac{x \left(5 a x^{2} - 7 b\right)}{\sqrt[4]{x \left(a x^{2} - b\right)} \left(- a x^{2} + b + x^{7}\right)}\, dx"," ",0,"Integral(x*(5*a*x**2 - 7*b)/((x*(a*x**2 - b))**(1/4)*(-a*x**2 + b + x**7)), x)","F",0
660,-1,0,0,0.000000," ","integrate((3*x**5+x)/(x**5-x)**(1/2)/(x**8-2*x**4-a*x**2+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
661,-1,0,0,0.000000," ","integrate((3*x**5+x)/(x**5-x)**(1/2)/(a*x**8-2*a*x**4-x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
662,0,0,0,0.000000," ","integrate((4*x**6+x)/(x**6-x)**(1/2)/(x**10-2*x**5-a*x**2+1),x)","\int \frac{x \left(4 x^{5} + 1\right)}{\sqrt{x \left(x - 1\right) \left(x^{4} + x^{3} + x^{2} + x + 1\right)} \left(- a x^{2} + x^{10} - 2 x^{5} + 1\right)}\, dx"," ",0,"Integral(x*(4*x**5 + 1)/(sqrt(x*(x - 1)*(x**4 + x**3 + x**2 + x + 1))*(-a*x**2 + x**10 - 2*x**5 + 1)), x)","F",0
663,0,0,0,0.000000," ","integrate((4*x**6+x)/(x**6-x)**(1/2)/(a*x**10-2*a*x**5-x**2+a),x)","\int \frac{x \left(4 x^{5} + 1\right)}{\sqrt{x \left(x - 1\right) \left(x^{4} + x^{3} + x^{2} + x + 1\right)} \left(a x^{10} - 2 a x^{5} + a - x^{2}\right)}\, dx"," ",0,"Integral(x*(4*x**5 + 1)/(sqrt(x*(x - 1)*(x**4 + x**3 + x**2 + x + 1))*(a*x**10 - 2*a*x**5 + a - x**2)), x)","F",0
664,0,0,0,0.000000," ","integrate(1/(-5+2*x)**2/(x**2-4*x+4)**(1/4),x)","\int \frac{1}{\left(2 x - 5\right)^{2} \sqrt[4]{\left(x - 2\right)^{2}}}\, dx"," ",0,"Integral(1/((2*x - 5)**2*((x - 2)**2)**(1/4)), x)","F",0
665,-1,0,0,0.000000," ","integrate((x**3-2)*(x**3+1)**(1/2)*(2*x**3-x**2+2)/x**4/(x**3-3*x**2+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
666,1,75,0,21.161578," ","integrate((a*x**3-b)*(a*x**3+b)**(1/2)/x,x)","- \frac{a \left(\begin{cases} - \sqrt{b} x^{3} & \text{for}\: a = 0 \\- \frac{2 \left(a x^{3} + b\right)^{\frac{3}{2}}}{3 a} & \text{otherwise} \end{cases}\right)}{3} + \frac{b \left(- \frac{2 b \operatorname{atan}{\left(\frac{\sqrt{a x^{3} + b}}{\sqrt{- b}} \right)}}{\sqrt{- b}} - 2 \sqrt{a x^{3} + b}\right)}{3}"," ",0,"-a*Piecewise((-sqrt(b)*x**3, Eq(a, 0)), (-2*(a*x**3 + b)**(3/2)/(3*a), True))/3 + b*(-2*b*atan(sqrt(a*x**3 + b)/sqrt(-b))/sqrt(-b) - 2*sqrt(a*x**3 + b))/3","A",0
667,0,0,0,0.000000," ","integrate(x**2/(x**4-1)/(x**4+1)**(1/2),x)","\int \frac{x^{2}}{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \sqrt{x^{4} + 1}}\, dx"," ",0,"Integral(x**2/((x - 1)*(x + 1)*(x**2 + 1)*sqrt(x**4 + 1)), x)","F",0
668,0,0,0,0.000000," ","integrate((x**4+1)**(1/2)/(x**4-1),x)","\int \frac{\sqrt{x^{4} + 1}}{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}\, dx"," ",0,"Integral(sqrt(x**4 + 1)/((x - 1)*(x + 1)*(x**2 + 1)), x)","F",0
669,0,0,0,0.000000," ","integrate((a*x**3+b)*(x**4+x)**(1/2),x)","\int \sqrt{x \left(x + 1\right) \left(x^{2} - x + 1\right)} \left(a x^{3} + b\right)\, dx"," ",0,"Integral(sqrt(x*(x + 1)*(x**2 - x + 1))*(a*x**3 + b), x)","F",0
670,0,0,0,0.000000," ","integrate((x**4+x**2)**(1/4),x)","\int \sqrt[4]{x^{4} + x^{2}}\, dx"," ",0,"Integral((x**4 + x**2)**(1/4), x)","F",0
671,-1,0,0,0.000000," ","integrate((x**4-1)*(x**4+1)**(1/2)/(x**4+3*x**2+1)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
672,0,0,0,0.000000," ","integrate(1/x**8/(x**4+x**3)**(1/4),x)","\int \frac{1}{x^{8} \sqrt[4]{x^{3} \left(x + 1\right)}}\, dx"," ",0,"Integral(1/(x**8*(x**3*(x + 1))**(1/4)), x)","F",0
673,0,0,0,0.000000," ","integrate((1+4*x)/(x**4+2*x**3+3*x**2-2*x+1)**(1/2),x)","\int \frac{4 x + 1}{\sqrt{x^{4} + 2 x^{3} + 3 x^{2} - 2 x + 1}}\, dx"," ",0,"Integral((4*x + 1)/sqrt(x**4 + 2*x**3 + 3*x**2 - 2*x + 1), x)","F",0
674,0,0,0,0.000000," ","integrate(1/(x**4-1)**(1/4)/(3*x**4+1),x)","\int \frac{1}{\sqrt[4]{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)} \left(3 x^{4} + 1\right)}\, dx"," ",0,"Integral(1/(((x - 1)*(x + 1)*(x**2 + 1))**(1/4)*(3*x**4 + 1)), x)","F",0
675,-1,0,0,0.000000," ","integrate((a*x**4-3*b)/(a*x**4-x**3+b)/(a*x**5+b*x)**(1/4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
676,1,175,0,6.225645," ","integrate(x**20*(x**6-1)**(1/2),x)","\begin{cases} \frac{x^{27}}{24 \sqrt{x^{6} - 1}} - \frac{7 x^{21}}{144 \sqrt{x^{6} - 1}} - \frac{x^{15}}{576 \sqrt{x^{6} - 1}} - \frac{5 x^{9}}{1152 \sqrt{x^{6} - 1}} + \frac{5 x^{3}}{384 \sqrt{x^{6} - 1}} - \frac{5 \operatorname{acosh}{\left(x^{3} \right)}}{384} & \text{for}\: \left|{x^{6}}\right| > 1 \\- \frac{i x^{27}}{24 \sqrt{1 - x^{6}}} + \frac{7 i x^{21}}{144 \sqrt{1 - x^{6}}} + \frac{i x^{15}}{576 \sqrt{1 - x^{6}}} + \frac{5 i x^{9}}{1152 \sqrt{1 - x^{6}}} - \frac{5 i x^{3}}{384 \sqrt{1 - x^{6}}} + \frac{5 i \operatorname{asin}{\left(x^{3} \right)}}{384} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**27/(24*sqrt(x**6 - 1)) - 7*x**21/(144*sqrt(x**6 - 1)) - x**15/(576*sqrt(x**6 - 1)) - 5*x**9/(1152*sqrt(x**6 - 1)) + 5*x**3/(384*sqrt(x**6 - 1)) - 5*acosh(x**3)/384, Abs(x**6) > 1), (-I*x**27/(24*sqrt(1 - x**6)) + 7*I*x**21/(144*sqrt(1 - x**6)) + I*x**15/(576*sqrt(1 - x**6)) + 5*I*x**9/(1152*sqrt(1 - x**6)) - 5*I*x**3/(384*sqrt(1 - x**6)) + 5*I*asin(x**3)/384, True))","A",0
677,0,0,0,0.000000," ","integrate((x**3-1)*(x**6-1)**(1/2)/x**4/(x**3+1),x)","\int \frac{\sqrt{\left(x - 1\right) \left(x + 1\right) \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)} \left(x - 1\right) \left(x^{2} + x + 1\right)}{x^{4} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(sqrt((x - 1)*(x + 1)*(x**2 - x + 1)*(x**2 + x + 1))*(x - 1)*(x**2 + x + 1)/(x**4*(x + 1)*(x**2 - x + 1)), x)","F",0
678,0,0,0,0.000000," ","integrate((x**6+1)/(x**4-x**2+1)**(1/2)/(-x**6+1),x)","- \int \frac{\sqrt{x^{4} - x^{2} + 1}}{x^{6} - 1}\, dx - \int \frac{x^{2} \sqrt{x^{4} - x^{2} + 1}}{x^{6} - 1}\, dx"," ",0,"-Integral(sqrt(x**4 - x**2 + 1)/(x**6 - 1), x) - Integral(x**2*sqrt(x**4 - x**2 + 1)/(x**6 - 1), x)","F",0
679,1,48,0,26.202193," ","integrate((x**6-2)*(x**6-1)**(1/2)/x**7/(x**6+2),x)","\frac{\sqrt{3} \operatorname{atan}{\left(\frac{\sqrt{3} \sqrt{x^{6} - 1}}{3} \right)}}{3} - \frac{\operatorname{atan}{\left(\sqrt{x^{6} - 1} \right)}}{2} + \frac{\sqrt{x^{6} - 1}}{6 x^{6}}"," ",0,"sqrt(3)*atan(sqrt(3)*sqrt(x**6 - 1)/3)/3 - atan(sqrt(x**6 - 1))/2 + sqrt(x**6 - 1)/(6*x**6)","A",0
680,0,0,0,0.000000," ","integrate(x*(5*a*x-6*b)/(a*x**3-b*x**2)**(1/4)/(x**6-a*x+b),x)","\int \frac{x \left(5 a x - 6 b\right)}{\sqrt[4]{x^{2} \left(a x - b\right)} \left(- a x + b + x^{6}\right)}\, dx"," ",0,"Integral(x*(5*a*x - 6*b)/((x**2*(a*x - b))**(1/4)*(-a*x + b + x**6)), x)","F",0
681,1,102,0,28.446658," ","integrate((x**3+1)**(1/2)*(x**6+2*x**3+2)/x/(x**6-1),x)","\frac{2 \sqrt{x^{3} + 1}}{3} + \frac{10 \left(\begin{cases} - \frac{\sqrt{2} \operatorname{acoth}{\left(\frac{\sqrt{2} \sqrt{x^{3} + 1}}{2} \right)}}{2} & \text{for}\: x^{3} + 1 > 2 \\- \frac{\sqrt{2} \operatorname{atanh}{\left(\frac{\sqrt{2} \sqrt{x^{3} + 1}}{2} \right)}}{2} & \text{for}\: x^{3} + 1 < 2 \end{cases}\right)}{3} - \frac{2 \log{\left(\sqrt{x^{3} + 1} - 1 \right)}}{3} + \frac{2 \log{\left(\sqrt{x^{3} + 1} + 1 \right)}}{3}"," ",0,"2*sqrt(x**3 + 1)/3 + 10*Piecewise((-sqrt(2)*acoth(sqrt(2)*sqrt(x**3 + 1)/2)/2, x**3 + 1 > 2), (-sqrt(2)*atanh(sqrt(2)*sqrt(x**3 + 1)/2)/2, x**3 + 1 < 2))/3 - 2*log(sqrt(x**3 + 1) - 1)/3 + 2*log(sqrt(x**3 + 1) + 1)/3","A",0
682,0,0,0,0.000000," ","integrate((x**4-1)*(x**4+1)**(1/2)/(x**8+1),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \sqrt{x^{4} + 1}}{x^{8} + 1}\, dx"," ",0,"Integral((x - 1)*(x + 1)*(x**2 + 1)*sqrt(x**4 + 1)/(x**8 + 1), x)","F",0
683,0,0,0,0.000000," ","integrate((x**8-1)/(x**4+1)**(1/2)/(x**8+1),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \sqrt{x^{4} + 1}}{x^{8} + 1}\, dx"," ",0,"Integral((x - 1)*(x + 1)*(x**2 + 1)*sqrt(x**4 + 1)/(x**8 + 1), x)","F",0
684,-1,0,0,0.000000," ","integrate((x**4-2)**(1/2)*(x**4+2)/(x**8-6*x**4+4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
685,-1,0,0,0.000000," ","integrate((a*x**4-2*b)/(a*x**4-b)**(1/4)/(2*x**8+a*x**4-b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
686,1,44,0,1.757714," ","integrate(1/x**2/(x+(x**2+1)**(1/2))**(1/2),x)","- \frac{\Gamma\left(\frac{1}{4}\right) \Gamma^{2}\left(\frac{3}{4}\right) {{}_{3}F_{2}\left(\begin{matrix} \frac{1}{4}, \frac{3}{4}, \frac{3}{4} \\ \frac{3}{2}, \frac{7}{4} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{2}}} \right)}}{4 \pi x^{\frac{3}{2}} \Gamma\left(\frac{7}{4}\right)}"," ",0,"-gamma(1/4)*gamma(3/4)**2*hyper((1/4, 3/4, 3/4), (3/2, 7/4), exp_polar(I*pi)/x**2)/(4*pi*x**(3/2)*gamma(7/4))","C",0
687,0,0,0,0.000000," ","integrate((-1+k**(1/2)*x)/(1+k**(1/2)*x)/((-x**2+1)*(-k**2*x**2+1))**(1/2),x)","\int \frac{\sqrt{k} x - 1}{\sqrt{\left(x - 1\right) \left(x + 1\right) \left(k x - 1\right) \left(k x + 1\right)} \left(\sqrt{k} x + 1\right)}\, dx"," ",0,"Integral((sqrt(k)*x - 1)/(sqrt((x - 1)*(x + 1)*(k*x - 1)*(k*x + 1))*(sqrt(k)*x + 1)), x)","F",0
688,0,0,0,0.000000," ","integrate((1+k**(1/2)*x)/(-1+k**(1/2)*x)/((-x**2+1)*(-k**2*x**2+1))**(1/2),x)","\int \frac{\sqrt{k} x + 1}{\sqrt{\left(x - 1\right) \left(x + 1\right) \left(k x - 1\right) \left(k x + 1\right)} \left(\sqrt{k} x - 1\right)}\, dx"," ",0,"Integral((sqrt(k)*x + 1)/(sqrt((x - 1)*(x + 1)*(k*x - 1)*(k*x + 1))*(sqrt(k)*x - 1)), x)","F",0
689,0,0,0,0.000000," ","integrate((2+x)/(-1+x)/(-a*x**2+x**3+3*x-1)**(1/2),x)","\int \frac{x + 2}{\left(x - 1\right) \sqrt{- a x^{2} + x^{3} + 3 x - 1}}\, dx"," ",0,"Integral((x + 2)/((x - 1)*sqrt(-a*x**2 + x**3 + 3*x - 1)), x)","F",0
690,0,0,0,0.000000," ","integrate((-2+x)/(1+x)/(-a*x**2+x**3+3*x+1)**(1/2),x)","\int \frac{x - 2}{\left(x + 1\right) \sqrt{- a x^{2} + x^{3} + 3 x + 1}}\, dx"," ",0,"Integral((x - 2)/((x + 1)*sqrt(-a*x**2 + x**3 + 3*x + 1)), x)","F",0
691,1,65,0,2.464794," ","integrate((x**4-1)*(x**4+1)**(1/4)/x**2,x)","\frac{x^{3} \Gamma\left(\frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{4}, \frac{3}{4} \\ \frac{7}{4} \end{matrix}\middle| {x^{4} e^{i \pi}} \right)}}{4 \Gamma\left(\frac{7}{4}\right)} - \frac{\Gamma\left(- \frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{4}, - \frac{1}{4} \\ \frac{3}{4} \end{matrix}\middle| {x^{4} e^{i \pi}} \right)}}{4 x \Gamma\left(\frac{3}{4}\right)}"," ",0,"x**3*gamma(3/4)*hyper((-1/4, 3/4), (7/4,), x**4*exp_polar(I*pi))/(4*gamma(7/4)) - gamma(-1/4)*hyper((-1/4, -1/4), (3/4,), x**4*exp_polar(I*pi))/(4*x*gamma(3/4))","C",0
692,0,0,0,0.000000," ","integrate((a*x**2+2*b)/(a*x**2+b)**(1/4)/(x**4-2*a*x**2-2*b),x)","\int \frac{a x^{2} + 2 b}{\sqrt[4]{a x^{2} + b} \left(- 2 a x^{2} - 2 b + x^{4}\right)}\, dx"," ",0,"Integral((a*x**2 + 2*b)/((a*x**2 + b)**(1/4)*(-2*a*x**2 - 2*b + x**4)), x)","F",0
693,0,0,0,0.000000," ","integrate((x**4-x**3)**(1/4)/x,x)","\int \frac{\sqrt[4]{x^{3} \left(x - 1\right)}}{x}\, dx"," ",0,"Integral((x**3*(x - 1))**(1/4)/x, x)","F",0
694,1,56,0,4.818856," ","integrate((x**3-1)*(x**6-1)**(1/2)/x**13,x)","\frac{\begin{cases} \frac{\left(x^{6} - 1\right)^{\frac{3}{2}}}{3 x^{9}} & \text{for}\: x > -1 \wedge x < 1 \end{cases}}{3} - \frac{\begin{cases} \frac{\operatorname{acos}{\left(\frac{1}{x^{3}} \right)}}{8} - \frac{\left(-1 + \frac{2}{x^{6}}\right) \sqrt{1 - \frac{1}{x^{6}}}}{8 x^{3}} & \text{for}\: x > -1 \wedge x < 1 \end{cases}}{3}"," ",0,"Piecewise(((x**6 - 1)**(3/2)/(3*x**9), (x > -1) & (x < 1)))/3 - Piecewise((acos(x**(-3))/8 - (-1 + 2/x**6)*sqrt(1 - 1/x**6)/(8*x**3), (x > -1) & (x < 1)))/3","A",0
695,0,0,0,0.000000," ","integrate((x**3+2)*(-x**4+x)**(1/3)/(x**6-x**5-x**4-2*x**3+x**2+1),x)","\int \frac{\sqrt[3]{- x \left(x - 1\right) \left(x^{2} + x + 1\right)} \left(x^{3} + 2\right)}{x^{6} - x^{5} - x^{4} - 2 x^{3} + x^{2} + 1}\, dx"," ",0,"Integral((-x*(x - 1)*(x**2 + x + 1))**(1/3)*(x**3 + 2)/(x**6 - x**5 - x**4 - 2*x**3 + x**2 + 1), x)","F",0
696,0,0,0,0.000000," ","integrate((x**3+2)*(-x**4+x)**(1/3)/(x**6-x**5-x**4-2*x**3+x**2+1),x)","\int \frac{\sqrt[3]{- x \left(x - 1\right) \left(x^{2} + x + 1\right)} \left(x^{3} + 2\right)}{x^{6} - x^{5} - x^{4} - 2 x^{3} + x^{2} + 1}\, dx"," ",0,"Integral((-x*(x - 1)*(x**2 + x + 1))**(1/3)*(x**3 + 2)/(x**6 - x**5 - x**4 - 2*x**3 + x**2 + 1), x)","F",0
697,0,0,0,0.000000," ","integrate(1/(x**8+2*x**4+1)**(1/8),x)","\int \frac{1}{\sqrt[8]{x^{8} + 2 x^{4} + 1}}\, dx"," ",0,"Integral((x**8 + 2*x**4 + 1)**(-1/8), x)","F",0
698,1,44,0,1.337892," ","integrate(1/x/(x+(x**2+1)**(1/2))**(1/2),x)","- \frac{\Gamma^{2}\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right) {{}_{3}F_{2}\left(\begin{matrix} \frac{1}{4}, \frac{1}{4}, \frac{3}{4} \\ \frac{5}{4}, \frac{3}{2} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{2}}} \right)}}{4 \pi \sqrt{x} \Gamma\left(\frac{5}{4}\right)}"," ",0,"-gamma(1/4)**2*gamma(3/4)*hyper((1/4, 1/4, 3/4), (5/4, 3/2), exp_polar(I*pi)/x**2)/(4*pi*sqrt(x)*gamma(5/4))","C",0
699,-1,0,0,0.000000," ","integrate((k**2*x**2-2*x+1)/((1-x)*x*(-k**2*x+1))**(1/2)/(-1+2*x+(k**2-2)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
700,1,41,0,0.925341," ","integrate(1/x/(a*x**3+b)**(3/4),x)","- \frac{\Gamma\left(\frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{3}{4} \\ \frac{7}{4} \end{matrix}\middle| {\frac{b e^{i \pi}}{a x^{3}}} \right)}}{3 a^{\frac{3}{4}} x^{\frac{9}{4}} \Gamma\left(\frac{7}{4}\right)}"," ",0,"-gamma(3/4)*hyper((3/4, 3/4), (7/4,), b*exp_polar(I*pi)/(a*x**3))/(3*a**(3/4)*x**(9/4)*gamma(7/4))","C",0
701,1,102,0,25.802900," ","integrate((a*x**3-b)*(a*x**3+b)**(1/2)/x**4,x)","\frac{2 a^{\frac{3}{2}} x^{\frac{3}{2}}}{3 \sqrt{1 + \frac{b}{a x^{3}}}} + \frac{\sqrt{a} b \sqrt{1 + \frac{b}{a x^{3}}}}{3 x^{\frac{3}{2}}} + \frac{2 \sqrt{a} b}{3 x^{\frac{3}{2}} \sqrt{1 + \frac{b}{a x^{3}}}} - \frac{a \sqrt{b} \operatorname{asinh}{\left(\frac{\sqrt{b}}{\sqrt{a} x^{\frac{3}{2}}} \right)}}{3}"," ",0,"2*a**(3/2)*x**(3/2)/(3*sqrt(1 + b/(a*x**3))) + sqrt(a)*b*sqrt(1 + b/(a*x**3))/(3*x**(3/2)) + 2*sqrt(a)*b/(3*x**(3/2)*sqrt(1 + b/(a*x**3))) - a*sqrt(b)*asinh(sqrt(b)/(sqrt(a)*x**(3/2)))/3","B",0
702,0,0,0,0.000000," ","integrate((k**2*x**2-2*x+1)/(k**2*x**2-2*x**2+2*x-1)/(k**2*x**3-k**2*x**2-x**2+x)**(1/2),x)","\int \frac{k^{2} x^{2} - 2 x + 1}{\sqrt{x \left(x - 1\right) \left(k^{2} x - 1\right)} \left(k^{2} x^{2} - 2 x^{2} + 2 x - 1\right)}\, dx"," ",0,"Integral((k**2*x**2 - 2*x + 1)/(sqrt(x*(x - 1)*(k**2*x - 1))*(k**2*x**2 - 2*x**2 + 2*x - 1)), x)","F",0
703,1,56,0,2.398800," ","integrate((2+x)/x/(x**4+1)**(1/4),x)","\frac{x \Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{4}, \frac{1}{4} \\ \frac{5}{4} \end{matrix}\middle| {x^{4} e^{i \pi}} \right)}}{4 \Gamma\left(\frac{5}{4}\right)} - \frac{\Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{4}, \frac{1}{4} \\ \frac{5}{4} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{4}}} \right)}}{2 x \Gamma\left(\frac{5}{4}\right)}"," ",0,"x*gamma(1/4)*hyper((1/4, 1/4), (5/4,), x**4*exp_polar(I*pi))/(4*gamma(5/4)) - gamma(1/4)*hyper((1/4, 1/4), (5/4,), exp_polar(I*pi)/x**4)/(2*x*gamma(5/4))","C",0
704,1,31,0,1.041934," ","integrate(x**6*(x**4+1)**(1/4),x)","\frac{x^{7} \Gamma\left(\frac{7}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{4}, \frac{7}{4} \\ \frac{11}{4} \end{matrix}\middle| {x^{4} e^{i \pi}} \right)}}{4 \Gamma\left(\frac{11}{4}\right)}"," ",0,"x**7*gamma(7/4)*hyper((-1/4, 7/4), (11/4,), x**4*exp_polar(I*pi))/(4*gamma(11/4))","C",0
705,0,0,0,0.000000," ","integrate((x**4-x)**(1/4)/x**2,x)","\int \frac{\sqrt[4]{x \left(x - 1\right) \left(x^{2} + x + 1\right)}}{x^{2}}\, dx"," ",0,"Integral((x*(x - 1)*(x**2 + x + 1))**(1/4)/x**2, x)","F",0
706,0,0,0,0.000000," ","integrate(x*(x**4-x)**(1/4),x)","\int x \sqrt[4]{x \left(x - 1\right) \left(x^{2} + x + 1\right)}\, dx"," ",0,"Integral(x*(x*(x - 1)*(x**2 + x + 1))**(1/4), x)","F",0
707,0,0,0,0.000000," ","integrate((a*x**3-b)*(x**4-x)**(1/2)/x**3,x)","\int \frac{\sqrt{x \left(x - 1\right) \left(x^{2} + x + 1\right)} \left(a x^{3} - b\right)}{x^{3}}\, dx"," ",0,"Integral(sqrt(x*(x - 1)*(x**2 + x + 1))*(a*x**3 - b)/x**3, x)","F",0
708,0,0,0,0.000000," ","integrate((x**4-x**3)**(1/4)/x**2,x)","\int \frac{\sqrt[4]{x^{3} \left(x - 1\right)}}{x^{2}}\, dx"," ",0,"Integral((x**3*(x - 1))**(1/4)/x**2, x)","F",0
709,0,0,0,0.000000," ","integrate(x/(x**4+6*x**3-11*x**2+18*x-17)**(1/2),x)","\int \frac{x}{\sqrt{x^{4} + 6 x^{3} - 11 x^{2} + 18 x - 17}}\, dx"," ",0,"Integral(x/sqrt(x**4 + 6*x**3 - 11*x**2 + 18*x - 17), x)","F",0
710,-1,0,0,0.000000," ","integrate((x**4-x**2-x-1)**(1/2)*(2*x**4+x+2)/(x**4-x-1)/(x**4+x**2-x-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
711,1,39,0,0.913862," ","integrate(1/x/(a*x**4+b)**(3/4),x)","- \frac{\Gamma\left(\frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{3}{4} \\ \frac{7}{4} \end{matrix}\middle| {\frac{b e^{i \pi}}{a x^{4}}} \right)}}{4 a^{\frac{3}{4}} x^{3} \Gamma\left(\frac{7}{4}\right)}"," ",0,"-gamma(3/4)*hyper((3/4, 3/4), (7/4,), b*exp_polar(I*pi)/(a*x**4))/(4*a**(3/4)*x**3*gamma(7/4))","C",0
712,1,37,0,0.865827," ","integrate(1/x/(a*x**4+b)**(1/4),x)","- \frac{\Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{4}, \frac{1}{4} \\ \frac{5}{4} \end{matrix}\middle| {\frac{b e^{i \pi}}{a x^{4}}} \right)}}{4 \sqrt[4]{a} x \Gamma\left(\frac{5}{4}\right)}"," ",0,"-gamma(1/4)*hyper((1/4, 1/4), (5/4,), b*exp_polar(I*pi)/(a*x**4))/(4*a**(1/4)*x*gamma(5/4))","C",0
713,1,41,0,0.930361," ","integrate(1/x/(a*x**5+b)**(3/4),x)","- \frac{\Gamma\left(\frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{3}{4} \\ \frac{7}{4} \end{matrix}\middle| {\frac{b e^{i \pi}}{a x^{5}}} \right)}}{5 a^{\frac{3}{4}} x^{\frac{15}{4}} \Gamma\left(\frac{7}{4}\right)}"," ",0,"-gamma(3/4)*hyper((3/4, 3/4), (7/4,), b*exp_polar(I*pi)/(a*x**5))/(5*a**(3/4)*x**(15/4)*gamma(7/4))","C",0
714,1,151,0,10.475462," ","integrate((2*x**3+1)*(x**6-1)**(1/2)/x,x)","2 \left(\begin{cases} \frac{x^{9}}{6 \sqrt{x^{6} - 1}} - \frac{x^{3}}{6 \sqrt{x^{6} - 1}} - \frac{\operatorname{acosh}{\left(x^{3} \right)}}{6} & \text{for}\: \left|{x^{6}}\right| > 1 \\\frac{i x^{3} \sqrt{1 - x^{6}}}{6} + \frac{i \operatorname{asin}{\left(x^{3} \right)}}{6} & \text{otherwise} \end{cases}\right) + \begin{cases} - \frac{i x^{3}}{3 \sqrt{-1 + \frac{1}{x^{6}}}} - \frac{i \operatorname{acosh}{\left(\frac{1}{x^{3}} \right)}}{3} + \frac{i}{3 x^{3} \sqrt{-1 + \frac{1}{x^{6}}}} & \text{for}\: \frac{1}{\left|{x^{6}}\right|} > 1 \\\frac{x^{3}}{3 \sqrt{1 - \frac{1}{x^{6}}}} + \frac{\operatorname{asin}{\left(\frac{1}{x^{3}} \right)}}{3} - \frac{1}{3 x^{3} \sqrt{1 - \frac{1}{x^{6}}}} & \text{otherwise} \end{cases}"," ",0,"2*Piecewise((x**9/(6*sqrt(x**6 - 1)) - x**3/(6*sqrt(x**6 - 1)) - acosh(x**3)/6, Abs(x**6) > 1), (I*x**3*sqrt(1 - x**6)/6 + I*asin(x**3)/6, True)) + Piecewise((-I*x**3/(3*sqrt(-1 + x**(-6))) - I*acosh(x**(-3))/3 + I/(3*x**3*sqrt(-1 + x**(-6))), 1/Abs(x**6) > 1), (x**3/(3*sqrt(1 - 1/x**6)) + asin(x**(-3))/3 - 1/(3*x**3*sqrt(1 - 1/x**6)), True))","C",0
715,0,0,0,0.000000," ","integrate((x**3-2)*(x**4+x**3+x)**(1/3)/(x**6+x**5+x**4+2*x**3+x**2+1),x)","\int \frac{\sqrt[3]{x \left(x^{3} + x^{2} + 1\right)} \left(x^{3} - 2\right)}{x^{6} + x^{5} + x^{4} + 2 x^{3} + x^{2} + 1}\, dx"," ",0,"Integral((x*(x**3 + x**2 + 1))**(1/3)*(x**3 - 2)/(x**6 + x**5 + x**4 + 2*x**3 + x**2 + 1), x)","F",0
716,0,0,0,0.000000," ","integrate((x**3-2)*(x**4+x**3+x)**(1/3)/(x**6+x**5+x**4+2*x**3+x**2+1),x)","\int \frac{\sqrt[3]{x \left(x^{3} + x^{2} + 1\right)} \left(x^{3} - 2\right)}{x^{6} + x^{5} + x^{4} + 2 x^{3} + x^{2} + 1}\, dx"," ",0,"Integral((x*(x**3 + x**2 + 1))**(1/3)*(x**3 - 2)/(x**6 + x**5 + x**4 + 2*x**3 + x**2 + 1), x)","F",0
717,1,41,0,0.919873," ","integrate(1/x/(a*x**6+b)**(3/4),x)","- \frac{\Gamma\left(\frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{3}{4} \\ \frac{7}{4} \end{matrix}\middle| {\frac{b e^{i \pi}}{a x^{6}}} \right)}}{6 a^{\frac{3}{4}} x^{\frac{9}{2}} \Gamma\left(\frac{7}{4}\right)}"," ",0,"-gamma(3/4)*hyper((3/4, 3/4), (7/4,), b*exp_polar(I*pi)/(a*x**6))/(6*a**(3/4)*x**(9/2)*gamma(7/4))","C",0
718,-1,0,0,0.000000," ","integrate((a*x**4-2*b)/(a*x**4+b)**(1/4)/(x**8+a*x**4-b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
719,-1,0,0,0.000000," ","integrate((a*x**4-2*b)/(a*x**4+b)**(1/4)/(x**8+a*x**4-b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
720,0,0,0,0.000000," ","integrate(x**2/(a*x**4+b)**(3/4)/(a**2*x**8+b**2),x)","\int \frac{x^{2}}{\left(a x^{4} + b\right)^{\frac{3}{4}} \left(a^{2} x^{8} + b^{2}\right)}\, dx"," ",0,"Integral(x**2/((a*x**4 + b)**(3/4)*(a**2*x**8 + b**2)), x)","F",0
721,0,0,0,0.000000," ","integrate(1/(-1+x)/(-x**(1/2)+x)**(1/2),x)","\int \frac{1}{\sqrt{- \sqrt{x} + x} \left(x - 1\right)}\, dx"," ",0,"Integral(1/(sqrt(-sqrt(x) + x)*(x - 1)), x)","F",0
722,0,0,0,0.000000," ","integrate(1/(1+2*x)/(2*x**2+2*x+1)**(1/4),x)","\int \frac{1}{\left(2 x + 1\right) \sqrt[4]{2 x^{2} + 2 x + 1}}\, dx"," ",0,"Integral(1/((2*x + 1)*(2*x**2 + 2*x + 1)**(1/4)), x)","F",0
723,1,105,0,26.738219," ","integrate((a*x**3+b)**(1/2)*(a*x**3+2*b)/x**4,x)","\frac{2 a^{\frac{3}{2}} x^{\frac{3}{2}}}{3 \sqrt{1 + \frac{b}{a x^{3}}}} - \frac{2 \sqrt{a} b \sqrt{1 + \frac{b}{a x^{3}}}}{3 x^{\frac{3}{2}}} + \frac{2 \sqrt{a} b}{3 x^{\frac{3}{2}} \sqrt{1 + \frac{b}{a x^{3}}}} - \frac{4 a \sqrt{b} \operatorname{asinh}{\left(\frac{\sqrt{b}}{\sqrt{a} x^{\frac{3}{2}}} \right)}}{3}"," ",0,"2*a**(3/2)*x**(3/2)/(3*sqrt(1 + b/(a*x**3))) - 2*sqrt(a)*b*sqrt(1 + b/(a*x**3))/(3*x**(3/2)) + 2*sqrt(a)*b/(3*x**(3/2)*sqrt(1 + b/(a*x**3))) - 4*a*sqrt(b)*asinh(sqrt(b)/(sqrt(a)*x**(3/2)))/3","A",0
724,-1,0,0,0.000000," ","integrate((p*x**3-2*q)*(p*x**3+q)**(1/2)/x**2/(a*p*x**3+b*x**2+a*q),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
725,0,0,0,0.000000," ","integrate((-1+2*x)/(x**4-10*x**3-3*x**2+4*x-8)**(1/2),x)","\int \frac{2 x - 1}{\sqrt{x^{4} - 10 x^{3} - 3 x^{2} + 4 x - 8}}\, dx"," ",0,"Integral((2*x - 1)/sqrt(x**4 - 10*x**3 - 3*x**2 + 4*x - 8), x)","F",0
726,0,0,0,0.000000," ","integrate((-1+x)/(x**4-8*x**3+12*x**2-16*x+4)**(1/2),x)","\int \frac{x - 1}{\sqrt{x^{4} - 8 x^{3} + 12 x^{2} - 16 x + 4}}\, dx"," ",0,"Integral((x - 1)/sqrt(x**4 - 8*x**3 + 12*x**2 - 16*x + 4), x)","F",0
727,0,0,0,0.000000," ","integrate((p*x**5+q)**(1/2)*(3*p*x**5-2*q)/x**2/(a*p*x**5+b*x**2+a*q),x)","\int \frac{\sqrt{p x^{5} + q} \left(3 p x^{5} - 2 q\right)}{x^{2} \left(a p x^{5} + a q + b x^{2}\right)}\, dx"," ",0,"Integral(sqrt(p*x**5 + q)*(3*p*x**5 - 2*q)/(x**2*(a*p*x**5 + a*q + b*x**2)), x)","F",0
728,-1,0,0,0.000000," ","integrate(x**2*(4*x**5-1)/(x**5+1)**2/(a*x**5+a-x)/(x**6+x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
729,0,0,0,0.000000," ","integrate((x**4-x)**(1/2)*(a*x**6-b)/x**6,x)","\int \frac{\sqrt{x \left(x - 1\right) \left(x^{2} + x + 1\right)} \left(a x^{6} - b\right)}{x^{6}}\, dx"," ",0,"Integral(sqrt(x*(x - 1)*(x**2 + x + 1))*(a*x**6 - b)/x**6, x)","F",0
730,-1,0,0,0.000000," ","integrate((p*x**6-2*q)*(p*x**6+q)**(1/2)/x**3/(a*p*x**6+b*x**4+a*q),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
731,1,223,0,10.908422," ","integrate(2*(p*x**6-2*q)*(p*x**6+q)**(1/2)*(a*p*x**6+b*x**4+a*q)/x**11,x)","\frac{a p^{2} \sqrt{q} x^{2} \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {\frac{p x^{6} e^{i \pi}}{q}} \right)}}{3 \Gamma\left(\frac{4}{3}\right)} - \frac{a p q^{\frac{3}{2}} \Gamma\left(- \frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, - \frac{1}{2} \\ \frac{1}{3} \end{matrix}\middle| {\frac{p x^{6} e^{i \pi}}{q}} \right)}}{3 x^{4} \Gamma\left(\frac{1}{3}\right)} - \frac{2 a q^{\frac{5}{2}} \Gamma\left(- \frac{5}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{5}{3}, - \frac{1}{2} \\ - \frac{2}{3} \end{matrix}\middle| {\frac{p x^{6} e^{i \pi}}{q}} \right)}}{3 x^{10} \Gamma\left(- \frac{2}{3}\right)} + \frac{2 b p^{\frac{3}{2}} x^{3}}{3 \sqrt{1 + \frac{q}{p x^{6}}}} + \frac{2 b \sqrt{p} q \sqrt{1 + \frac{q}{p x^{6}}}}{3 x^{3}} + \frac{2 b \sqrt{p} q}{3 x^{3} \sqrt{1 + \frac{q}{p x^{6}}}}"," ",0,"a*p**2*sqrt(q)*x**2*gamma(1/3)*hyper((-1/2, 1/3), (4/3,), p*x**6*exp_polar(I*pi)/q)/(3*gamma(4/3)) - a*p*q**(3/2)*gamma(-2/3)*hyper((-2/3, -1/2), (1/3,), p*x**6*exp_polar(I*pi)/q)/(3*x**4*gamma(1/3)) - 2*a*q**(5/2)*gamma(-5/3)*hyper((-5/3, -1/2), (-2/3,), p*x**6*exp_polar(I*pi)/q)/(3*x**10*gamma(-2/3)) + 2*b*p**(3/2)*x**3/(3*sqrt(1 + q/(p*x**6))) + 2*b*sqrt(p)*q*sqrt(1 + q/(p*x**6))/(3*x**3) + 2*b*sqrt(p)*q/(3*x**3*sqrt(1 + q/(p*x**6)))","C",0
732,0,0,0,0.000000," ","integrate(1/x**3/(x**8-16*x**6+96*x**4-256*x**2+256)**(1/8),x)","\int \frac{1}{x^{3} \sqrt[8]{\left(x - 2\right)^{4} \left(x + 2\right)^{4}}}\, dx"," ",0,"Integral(1/(x**3*((x - 2)**4*(x + 2)**4)**(1/8)), x)","F",0
733,0,0,0,0.000000," ","integrate(x**3*(8*a*x**3+5*b)/(a*x**4+b*x)**(1/4)/(a*x**8+b*x**5-2),x)","\int \frac{x^{3} \left(8 a x^{3} + 5 b\right)}{\sqrt[4]{x \left(a x^{3} + b\right)} \left(a x^{8} + b x^{5} - 2\right)}\, dx"," ",0,"Integral(x**3*(8*a*x**3 + 5*b)/((x*(a*x**3 + b))**(1/4)*(a*x**8 + b*x**5 - 2)), x)","F",0
734,1,745,0,1.651268," ","integrate((-y**4-x**2+1)**(1/2),x)","\begin{cases} - \frac{2 i x^{3} \sqrt{\operatorname{polar\_lift}{\left(1 - y^{4} \right)}}}{4 y^{4} \sqrt{\frac{x^{2}}{\operatorname{polar\_lift}{\left(1 - y^{4} \right)}} - 1} - 4 \sqrt{\frac{x^{2}}{\operatorname{polar\_lift}{\left(1 - y^{4} \right)}} - 1}} - \frac{2 i x y^{4} \sqrt{\operatorname{polar\_lift}{\left(1 - y^{4} \right)}}}{4 y^{4} \sqrt{\frac{x^{2}}{\operatorname{polar\_lift}{\left(1 - y^{4} \right)}} - 1} - 4 \sqrt{\frac{x^{2}}{\operatorname{polar\_lift}{\left(1 - y^{4} \right)}} - 1}} + \frac{2 i x \sqrt{\operatorname{polar\_lift}{\left(1 - y^{4} \right)}}}{4 y^{4} \sqrt{\frac{x^{2}}{\operatorname{polar\_lift}{\left(1 - y^{4} \right)}} - 1} - 4 \sqrt{\frac{x^{2}}{\operatorname{polar\_lift}{\left(1 - y^{4} \right)}} - 1}} - \frac{2 i y^{4} \left(1 - y^{4}\right) \sqrt{\frac{x^{2}}{\operatorname{polar\_lift}{\left(1 - y^{4} \right)}} - 1} \operatorname{acosh}{\left(\frac{x}{\sqrt{\operatorname{polar\_lift}{\left(1 - y^{4} \right)}}} \right)}}{4 y^{4} \sqrt{\frac{x^{2}}{\operatorname{polar\_lift}{\left(1 - y^{4} \right)}} - 1} - 4 \sqrt{\frac{x^{2}}{\operatorname{polar\_lift}{\left(1 - y^{4} \right)}} - 1}} + \frac{\pi y^{4} \left(1 - y^{4}\right) \sqrt{\frac{x^{2}}{\operatorname{polar\_lift}{\left(1 - y^{4} \right)}} - 1}}{4 y^{4} \sqrt{\frac{x^{2}}{\operatorname{polar\_lift}{\left(1 - y^{4} \right)}} - 1} - 4 \sqrt{\frac{x^{2}}{\operatorname{polar\_lift}{\left(1 - y^{4} \right)}} - 1}} + \frac{2 i \left(1 - y^{4}\right) \sqrt{\frac{x^{2}}{\operatorname{polar\_lift}{\left(1 - y^{4} \right)}} - 1} \operatorname{acosh}{\left(\frac{x}{\sqrt{\operatorname{polar\_lift}{\left(1 - y^{4} \right)}}} \right)}}{4 y^{4} \sqrt{\frac{x^{2}}{\operatorname{polar\_lift}{\left(1 - y^{4} \right)}} - 1} - 4 \sqrt{\frac{x^{2}}{\operatorname{polar\_lift}{\left(1 - y^{4} \right)}} - 1}} - \frac{\pi \left(1 - y^{4}\right) \sqrt{\frac{x^{2}}{\operatorname{polar\_lift}{\left(1 - y^{4} \right)}} - 1}}{4 y^{4} \sqrt{\frac{x^{2}}{\operatorname{polar\_lift}{\left(1 - y^{4} \right)}} - 1} - 4 \sqrt{\frac{x^{2}}{\operatorname{polar\_lift}{\left(1 - y^{4} \right)}} - 1}} & \text{for}\: \left|{\frac{x^{2}}{y^{4} - 1}}\right| > 1 \\\frac{x^{3} \sqrt{\operatorname{polar\_lift}{\left(1 - y^{4} \right)}}}{2 y^{4} \sqrt{- \frac{x^{2}}{\operatorname{polar\_lift}{\left(1 - y^{4} \right)}} + 1} - 2 \sqrt{- \frac{x^{2}}{\operatorname{polar\_lift}{\left(1 - y^{4} \right)}} + 1}} + \frac{x y^{4} \sqrt{\operatorname{polar\_lift}{\left(1 - y^{4} \right)}}}{2 y^{4} \sqrt{- \frac{x^{2}}{\operatorname{polar\_lift}{\left(1 - y^{4} \right)}} + 1} - 2 \sqrt{- \frac{x^{2}}{\operatorname{polar\_lift}{\left(1 - y^{4} \right)}} + 1}} - \frac{x \sqrt{\operatorname{polar\_lift}{\left(1 - y^{4} \right)}}}{2 y^{4} \sqrt{- \frac{x^{2}}{\operatorname{polar\_lift}{\left(1 - y^{4} \right)}} + 1} - 2 \sqrt{- \frac{x^{2}}{\operatorname{polar\_lift}{\left(1 - y^{4} \right)}} + 1}} + \frac{y^{4} \left(1 - y^{4}\right) \sqrt{- \frac{x^{2}}{\operatorname{polar\_lift}{\left(1 - y^{4} \right)}} + 1} \operatorname{asin}{\left(\frac{x}{\sqrt{\operatorname{polar\_lift}{\left(1 - y^{4} \right)}}} \right)}}{2 y^{4} \sqrt{- \frac{x^{2}}{\operatorname{polar\_lift}{\left(1 - y^{4} \right)}} + 1} - 2 \sqrt{- \frac{x^{2}}{\operatorname{polar\_lift}{\left(1 - y^{4} \right)}} + 1}} - \frac{\left(1 - y^{4}\right) \sqrt{- \frac{x^{2}}{\operatorname{polar\_lift}{\left(1 - y^{4} \right)}} + 1} \operatorname{asin}{\left(\frac{x}{\sqrt{\operatorname{polar\_lift}{\left(1 - y^{4} \right)}}} \right)}}{2 y^{4} \sqrt{- \frac{x^{2}}{\operatorname{polar\_lift}{\left(1 - y^{4} \right)}} + 1} - 2 \sqrt{- \frac{x^{2}}{\operatorname{polar\_lift}{\left(1 - y^{4} \right)}} + 1}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-2*I*x**3*sqrt(polar_lift(1 - y**4))/(4*y**4*sqrt(x**2/polar_lift(1 - y**4) - 1) - 4*sqrt(x**2/polar_lift(1 - y**4) - 1)) - 2*I*x*y**4*sqrt(polar_lift(1 - y**4))/(4*y**4*sqrt(x**2/polar_lift(1 - y**4) - 1) - 4*sqrt(x**2/polar_lift(1 - y**4) - 1)) + 2*I*x*sqrt(polar_lift(1 - y**4))/(4*y**4*sqrt(x**2/polar_lift(1 - y**4) - 1) - 4*sqrt(x**2/polar_lift(1 - y**4) - 1)) - 2*I*y**4*(1 - y**4)*sqrt(x**2/polar_lift(1 - y**4) - 1)*acosh(x/sqrt(polar_lift(1 - y**4)))/(4*y**4*sqrt(x**2/polar_lift(1 - y**4) - 1) - 4*sqrt(x**2/polar_lift(1 - y**4) - 1)) + pi*y**4*(1 - y**4)*sqrt(x**2/polar_lift(1 - y**4) - 1)/(4*y**4*sqrt(x**2/polar_lift(1 - y**4) - 1) - 4*sqrt(x**2/polar_lift(1 - y**4) - 1)) + 2*I*(1 - y**4)*sqrt(x**2/polar_lift(1 - y**4) - 1)*acosh(x/sqrt(polar_lift(1 - y**4)))/(4*y**4*sqrt(x**2/polar_lift(1 - y**4) - 1) - 4*sqrt(x**2/polar_lift(1 - y**4) - 1)) - pi*(1 - y**4)*sqrt(x**2/polar_lift(1 - y**4) - 1)/(4*y**4*sqrt(x**2/polar_lift(1 - y**4) - 1) - 4*sqrt(x**2/polar_lift(1 - y**4) - 1)), Abs(x**2/(y**4 - 1)) > 1), (x**3*sqrt(polar_lift(1 - y**4))/(2*y**4*sqrt(-x**2/polar_lift(1 - y**4) + 1) - 2*sqrt(-x**2/polar_lift(1 - y**4) + 1)) + x*y**4*sqrt(polar_lift(1 - y**4))/(2*y**4*sqrt(-x**2/polar_lift(1 - y**4) + 1) - 2*sqrt(-x**2/polar_lift(1 - y**4) + 1)) - x*sqrt(polar_lift(1 - y**4))/(2*y**4*sqrt(-x**2/polar_lift(1 - y**4) + 1) - 2*sqrt(-x**2/polar_lift(1 - y**4) + 1)) + y**4*(1 - y**4)*sqrt(-x**2/polar_lift(1 - y**4) + 1)*asin(x/sqrt(polar_lift(1 - y**4)))/(2*y**4*sqrt(-x**2/polar_lift(1 - y**4) + 1) - 2*sqrt(-x**2/polar_lift(1 - y**4) + 1)) - (1 - y**4)*sqrt(-x**2/polar_lift(1 - y**4) + 1)*asin(x/sqrt(polar_lift(1 - y**4)))/(2*y**4*sqrt(-x**2/polar_lift(1 - y**4) + 1) - 2*sqrt(-x**2/polar_lift(1 - y**4) + 1)), True))","B",0
735,-1,0,0,0.000000," ","integrate((k**2*x**2-2*k**2*x+1)/((1-x)*x*(-k**2*x+1))**(1/2)/(-a-b*x+(a*k**2+b*k**2)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
736,-1,0,0,0.000000," ","integrate((a*b*c-(a+b+c)*x**2+2*x**3)/(x*(-a+x)*(-b+x)*(-c+x))**(1/2)/(-a*b*c*d+(a*b*d+a*c*d+b*c*d-1)*x-(a+b+c)*d*x**2+d*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
737,1,32,0,1.085275," ","integrate(x**6*(x**4-1)**(1/4),x)","\frac{x^{7} e^{\frac{i \pi}{4}} \Gamma\left(\frac{7}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{4}, \frac{7}{4} \\ \frac{11}{4} \end{matrix}\middle| {x^{4}} \right)}}{4 \Gamma\left(\frac{11}{4}\right)}"," ",0,"x**7*exp(I*pi/4)*gamma(7/4)*hyper((-1/4, 7/4), (11/4,), x**4)/(4*gamma(11/4))","C",0
738,0,0,0,0.000000," ","integrate((-1+2*x)*(x**4+x**3)**(1/4)/x,x)","\int \frac{\sqrt[4]{x^{3} \left(x + 1\right)} \left(2 x - 1\right)}{x}\, dx"," ",0,"Integral((x**3*(x + 1))**(1/4)*(2*x - 1)/x, x)","F",0
739,-1,0,0,0.000000," ","integrate((x**4-2*x**3+x**2-1)**(1/2)*(x**4-x**3+1)/(x**4-2*x**3-1)/(2*x**4-4*x**3-x**2-2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
740,1,37,0,0.877625," ","integrate(x**2/(a*x**4+b)**(3/4),x)","\frac{x^{3} \Gamma\left(\frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{3}{4} \\ \frac{7}{4} \end{matrix}\middle| {\frac{a x^{4} e^{i \pi}}{b}} \right)}}{4 b^{\frac{3}{4}} \Gamma\left(\frac{7}{4}\right)}"," ",0,"x**3*gamma(3/4)*hyper((3/4, 3/4), (7/4,), a*x**4*exp_polar(I*pi)/b)/(4*b**(3/4)*gamma(7/4))","C",0
741,0,0,0,0.000000," ","integrate(1/(a*x**4+b)**(1/4)/(a*x**8-b),x)","\int \frac{1}{\sqrt[4]{a x^{4} + b} \left(a x^{8} - b\right)}\, dx"," ",0,"Integral(1/((a*x**4 + b)**(1/4)*(a*x**8 - b)), x)","F",0
742,-1,0,0,0.000000," ","integrate((a*x**8-b)/(a*x**8+b)**(1/4)/(a*x**8-c*x**4+b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
743,0,0,0,0.000000," ","integrate((2*x**5-3)*(x**10+x**6+2*x**5+1)/x**6/(x**5-x**3+1)/(x**6+x)**(1/4),x)","\int \frac{\left(2 x^{5} - 3\right) \left(x^{10} + x^{6} + 2 x^{5} + 1\right)}{x^{6} \sqrt[4]{x \left(x + 1\right) \left(x^{4} - x^{3} + x^{2} - x + 1\right)} \left(x^{5} - x^{3} + 1\right)}\, dx"," ",0,"Integral((2*x**5 - 3)*(x**10 + x**6 + 2*x**5 + 1)/(x**6*(x*(x + 1)*(x**4 - x**3 + x**2 - x + 1))**(1/4)*(x**5 - x**3 + 1)), x)","F",0
744,1,17,0,0.695971," ","integrate((x**2+(x**4+1)**(1/2))**(1/2),x)","- \frac{{G_{3, 3}^{2, 2}\left(\begin{matrix} \frac{3}{2}, 1 & 1 \\\frac{1}{4}, \frac{3}{4} & 0 \end{matrix} \middle| {x^{4}} \right)}}{16 \sqrt{\pi}}"," ",0,"-meijerg(((3/2, 1), (1,)), ((1/4, 3/4), (0,)), x**4)/(16*sqrt(pi))","A",0
745,0,0,0,0.000000," ","integrate((x**2-x-1)/(x**2+1)/(x**3-x)**(1/2),x)","\int \frac{x^{2} - x - 1}{\sqrt{x \left(x - 1\right) \left(x + 1\right)} \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x**2 - x - 1)/(sqrt(x*(x - 1)*(x + 1))*(x**2 + 1)), x)","F",0
746,0,0,0,0.000000," ","integrate((x**2+x-1)/(x**2+1)/(x**3-x)**(1/2),x)","\int \frac{x^{2} + x - 1}{\sqrt{x \left(x - 1\right) \left(x + 1\right)} \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x**2 + x - 1)/(sqrt(x*(x - 1)*(x + 1))*(x**2 + 1)), x)","F",0
747,0,0,0,0.000000," ","integrate((7*x**2+x-7)/(x**2+1)/(x**3-x)**(1/2),x)","\int \frac{7 x^{2} + x - 7}{\sqrt{x \left(x - 1\right) \left(x + 1\right)} \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((7*x**2 + x - 7)/(sqrt(x*(x - 1)*(x + 1))*(x**2 + 1)), x)","F",0
748,0,0,0,0.000000," ","integrate(1/(-2+x)/(x**3-x**2)**(1/4),x)","\int \frac{1}{\sqrt[4]{x^{2} \left(x - 1\right)} \left(x - 2\right)}\, dx"," ",0,"Integral(1/((x**2*(x - 1))**(1/4)*(x - 2)), x)","F",0
749,0,0,0,0.000000," ","integrate((a*x**3+b)*(x**4-x)**(1/2),x)","\int \sqrt{x \left(x - 1\right) \left(x^{2} + x + 1\right)} \left(a x^{3} + b\right)\, dx"," ",0,"Integral(sqrt(x*(x - 1)*(x**2 + x + 1))*(a*x**3 + b), x)","F",0
750,0,0,0,0.000000," ","integrate((2*x**2-x-2)/(x**2+1)/(x**4+x**2+1)**(1/2),x)","\int \frac{2 x^{2} - x - 2}{\sqrt{\left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)} \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((2*x**2 - x - 2)/(sqrt((x**2 - x + 1)*(x**2 + x + 1))*(x**2 + 1)), x)","F",0
751,0,0,0,0.000000," ","integrate(x**3*(9*a*x**4-5*b)/(a*x**5-b*x)**(1/4)/(a*x**9-b*x**5-2),x)","\int \frac{x^{3} \left(9 a x^{4} - 5 b\right)}{\sqrt[4]{x \left(a x^{4} - b\right)} \left(a x^{9} - b x^{5} - 2\right)}\, dx"," ",0,"Integral(x**3*(9*a*x**4 - 5*b)/((x*(a*x**4 - b))**(1/4)*(a*x**9 - b*x**5 - 2)), x)","F",0
752,0,0,0,0.000000," ","integrate((x**2+1)/(x**2-1)/(x**3+x**2+x)**(1/2),x)","\int \frac{x^{2} + 1}{\sqrt{x \left(x^{2} + x + 1\right)} \left(x - 1\right) \left(x + 1\right)}\, dx"," ",0,"Integral((x**2 + 1)/(sqrt(x*(x**2 + x + 1))*(x - 1)*(x + 1)), x)","F",0
753,-1,0,0,0.000000," ","integrate((a*b*c-(a+b+c)*x**2+2*x**3)/(x*(-a+x)*(-b+x)*(-c+x))**(1/2)/(-a*b*c+(a*b+a*c+b*c-d)*x-(a+b+c)*x**2+x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
754,1,128,0,65.158618," ","integrate((a*x**3-b)*(a*x**3+b)**(1/2)/x**7,x)","- \frac{a^{\frac{3}{2}} \sqrt{1 + \frac{b}{a x^{3}}}}{3 x^{\frac{3}{2}}} + \frac{a^{\frac{3}{2}}}{12 x^{\frac{3}{2}} \sqrt{1 + \frac{b}{a x^{3}}}} + \frac{\sqrt{a} b}{4 x^{\frac{9}{2}} \sqrt{1 + \frac{b}{a x^{3}}}} - \frac{5 a^{2} \operatorname{asinh}{\left(\frac{\sqrt{b}}{\sqrt{a} x^{\frac{3}{2}}} \right)}}{12 \sqrt{b}} + \frac{b^{2}}{6 \sqrt{a} x^{\frac{15}{2}} \sqrt{1 + \frac{b}{a x^{3}}}}"," ",0,"-a**(3/2)*sqrt(1 + b/(a*x**3))/(3*x**(3/2)) + a**(3/2)/(12*x**(3/2)*sqrt(1 + b/(a*x**3))) + sqrt(a)*b/(4*x**(9/2)*sqrt(1 + b/(a*x**3))) - 5*a**2*asinh(sqrt(b)/(sqrt(a)*x**(3/2)))/(12*sqrt(b)) + b**2/(6*sqrt(a)*x**(15/2)*sqrt(1 + b/(a*x**3)))","B",0
755,1,128,0,68.217852," ","integrate((a*x**3+b)**(1/2)*(a*x**3+2*b)/x**7,x)","- \frac{a^{\frac{3}{2}} \sqrt{1 + \frac{b}{a x^{3}}}}{3 x^{\frac{3}{2}}} - \frac{a^{\frac{3}{2}}}{6 x^{\frac{3}{2}} \sqrt{1 + \frac{b}{a x^{3}}}} - \frac{\sqrt{a} b}{2 x^{\frac{9}{2}} \sqrt{1 + \frac{b}{a x^{3}}}} - \frac{a^{2} \operatorname{asinh}{\left(\frac{\sqrt{b}}{\sqrt{a} x^{\frac{3}{2}}} \right)}}{6 \sqrt{b}} - \frac{b^{2}}{3 \sqrt{a} x^{\frac{15}{2}} \sqrt{1 + \frac{b}{a x^{3}}}}"," ",0,"-a**(3/2)*sqrt(1 + b/(a*x**3))/(3*x**(3/2)) - a**(3/2)/(6*x**(3/2)*sqrt(1 + b/(a*x**3))) - sqrt(a)*b/(2*x**(9/2)*sqrt(1 + b/(a*x**3))) - a**2*asinh(sqrt(b)/(sqrt(a)*x**(3/2)))/(6*sqrt(b)) - b**2/(3*sqrt(a)*x**(15/2)*sqrt(1 + b/(a*x**3)))","B",0
756,-1,0,0,0.000000," ","integrate((3*a*b*c*x-2*(a*b+a*c+b*c)*x**2+(a+b+c)*x**3)/(x*(-a+x)*(-b+x)*(-c+x))**(1/2)/(a*b*c-(a*b+a*c+b*c)*x+(a+b+c)*x**2+(-1+d)*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
757,-1,0,0,0.000000," ","integrate(x*(3*a*b*c-2*(a*b+a*c+b*c)*x+(a+b+c)*x**2)/(x*(-a+x)*(-b+x)*(-c+x))**(1/2)/(-a*b*c*d+(a*b+a*c+b*c)*d*x-(a+b+c)*d*x**2+(-1+d)*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
758,0,0,0,0.000000," ","integrate((x**4-x**2)**(1/4),x)","\int \sqrt[4]{x^{4} - x^{2}}\, dx"," ",0,"Integral((x**4 - x**2)**(1/4), x)","F",0
759,0,0,0,0.000000," ","integrate(x**2*(x**4+x**2)**(1/4),x)","\int x^{2} \sqrt[4]{x^{2} \left(x^{2} + 1\right)}\, dx"," ",0,"Integral(x**2*(x**2*(x**2 + 1))**(1/4), x)","F",0
760,-1,0,0,0.000000," ","integrate((2*x**4-1)*(2*x**4+3*x**2+1)**(1/2)/(2*x**4+2*x**2+1)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
761,-1,0,0,0.000000," ","integrate((2*x**4-2*x**3+x**2-2)**(1/2)*(2*x**4-x**3+2)/(x**4-x**3-1)/(2*x**4-2*x**3-x**2-2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
762,0,0,0,0.000000," ","integrate((a*x**2-b)/(a*x**2+b)/(a**2*x**4+b**2)**(1/2),x)","\int \frac{a x^{2} - b}{\left(a x^{2} + b\right) \sqrt{a^{2} x^{4} + b^{2}}}\, dx"," ",0,"Integral((a*x**2 - b)/((a*x**2 + b)*sqrt(a**2*x**4 + b**2)), x)","F",0
763,-1,0,0,0.000000," ","integrate((a*x**4+3*b)/(a*x**4-x**3-b)/(a*x**5-b*x)**(1/4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
764,1,150,0,10.288187," ","integrate((x**3-1)*(x**6-1)**(1/2)/x,x)","\begin{cases} \frac{x^{9}}{6 \sqrt{x^{6} - 1}} - \frac{x^{3}}{6 \sqrt{x^{6} - 1}} - \frac{\operatorname{acosh}{\left(x^{3} \right)}}{6} & \text{for}\: \left|{x^{6}}\right| > 1 \\\frac{i x^{3} \sqrt{1 - x^{6}}}{6} + \frac{i \operatorname{asin}{\left(x^{3} \right)}}{6} & \text{otherwise} \end{cases} - \begin{cases} - \frac{i x^{3}}{3 \sqrt{-1 + \frac{1}{x^{6}}}} - \frac{i \operatorname{acosh}{\left(\frac{1}{x^{3}} \right)}}{3} + \frac{i}{3 x^{3} \sqrt{-1 + \frac{1}{x^{6}}}} & \text{for}\: \frac{1}{\left|{x^{6}}\right|} > 1 \\\frac{x^{3}}{3 \sqrt{1 - \frac{1}{x^{6}}}} + \frac{\operatorname{asin}{\left(\frac{1}{x^{3}} \right)}}{3} - \frac{1}{3 x^{3} \sqrt{1 - \frac{1}{x^{6}}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**9/(6*sqrt(x**6 - 1)) - x**3/(6*sqrt(x**6 - 1)) - acosh(x**3)/6, Abs(x**6) > 1), (I*x**3*sqrt(1 - x**6)/6 + I*asin(x**3)/6, True)) - Piecewise((-I*x**3/(3*sqrt(-1 + x**(-6))) - I*acosh(x**(-3))/3 + I/(3*x**3*sqrt(-1 + x**(-6))), 1/Abs(x**6) > 1), (x**3/(3*sqrt(1 - 1/x**6)) + asin(x**(-3))/3 - 1/(3*x**3*sqrt(1 - 1/x**6)), True))","C",0
765,0,0,0,0.000000," ","integrate(x*(3+4*x)*(x**3-2*x-1)**(1/3)/(x**6-8*x**2-8*x-2),x)","\int \frac{x \sqrt[3]{\left(x + 1\right) \left(x^{2} - x - 1\right)} \left(4 x + 3\right)}{x^{6} - 8 x^{2} - 8 x - 2}\, dx"," ",0,"Integral(x*((x + 1)*(x**2 - x - 1))**(1/3)*(4*x + 3)/(x**6 - 8*x**2 - 8*x - 2), x)","F",0
766,0,0,0,0.000000," ","integrate(x*(3+4*x)*(x**3-2*x-1)**(1/3)/(x**6-8*x**2-8*x-2),x)","\int \frac{x \sqrt[3]{\left(x + 1\right) \left(x^{2} - x - 1\right)} \left(4 x + 3\right)}{x^{6} - 8 x^{2} - 8 x - 2}\, dx"," ",0,"Integral(x*((x + 1)*(x**2 - x - 1))**(1/3)*(4*x + 3)/(x**6 - 8*x**2 - 8*x - 2), x)","F",0
767,0,0,0,0.000000," ","integrate((3+2*x)*(x**3+x+1)**(2/3)/(x**6+x**4+x**3+x**2+2*x+1),x)","\int \frac{\left(2 x + 3\right) \left(x^{3} + x + 1\right)^{\frac{2}{3}}}{x^{6} + x^{4} + x^{3} + x^{2} + 2 x + 1}\, dx"," ",0,"Integral((2*x + 3)*(x**3 + x + 1)**(2/3)/(x**6 + x**4 + x**3 + x**2 + 2*x + 1), x)","F",0
768,0,0,0,0.000000," ","integrate((3+2*x)*(x**3+x+1)**(2/3)/(x**6+x**4+x**3+x**2+2*x+1),x)","\int \frac{\left(2 x + 3\right) \left(x^{3} + x + 1\right)^{\frac{2}{3}}}{x^{6} + x^{4} + x^{3} + x^{2} + 2 x + 1}\, dx"," ",0,"Integral((2*x + 3)*(x**3 + x + 1)**(2/3)/(x**6 + x**4 + x**3 + x**2 + 2*x + 1), x)","F",0
769,0,0,0,0.000000," ","integrate((x**3+2)*(-x**4+x**3+x)**(1/3)/(x**6-x**5+x**4-2*x**3+x**2+1),x)","\int \frac{\sqrt[3]{- x \left(x^{3} - x^{2} - 1\right)} \left(x^{3} + 2\right)}{x^{6} - x^{5} + x^{4} - 2 x^{3} + x^{2} + 1}\, dx"," ",0,"Integral((-x*(x**3 - x**2 - 1))**(1/3)*(x**3 + 2)/(x**6 - x**5 + x**4 - 2*x**3 + x**2 + 1), x)","F",0
770,0,0,0,0.000000," ","integrate((x**3+2)*(-x**4+x**3+x)**(1/3)/(x**6-x**5+x**4-2*x**3+x**2+1),x)","\int \frac{\sqrt[3]{- x \left(x^{3} - x^{2} - 1\right)} \left(x^{3} + 2\right)}{x^{6} - x^{5} + x^{4} - 2 x^{3} + x^{2} + 1}\, dx"," ",0,"Integral((-x*(x**3 - x**2 - 1))**(1/3)*(x**3 + 2)/(x**6 - x**5 + x**4 - 2*x**3 + x**2 + 1), x)","F",0
771,0,0,0,0.000000," ","integrate((x**2+3)*(x**3+x**2+1)**(2/3)/(x**6+x**5-x**4+x**3-2*x**2-1),x)","\int \frac{\left(x^{2} + 3\right) \left(x^{3} + x^{2} + 1\right)^{\frac{2}{3}}}{x^{6} + x^{5} - x^{4} + x^{3} - 2 x^{2} - 1}\, dx"," ",0,"Integral((x**2 + 3)*(x**3 + x**2 + 1)**(2/3)/(x**6 + x**5 - x**4 + x**3 - 2*x**2 - 1), x)","F",0
772,0,0,0,0.000000," ","integrate((x**2+3)*(x**3+x**2+1)**(2/3)/(x**6+x**5-x**4+x**3-2*x**2-1),x)","\int \frac{\left(x^{2} + 3\right) \left(x^{3} + x^{2} + 1\right)^{\frac{2}{3}}}{x^{6} + x^{5} - x^{4} + x^{3} - 2 x^{2} - 1}\, dx"," ",0,"Integral((x**2 + 3)*(x**3 + x**2 + 1)**(2/3)/(x**6 + x**5 - x**4 + x**3 - 2*x**2 - 1), x)","F",0
773,-1,0,0,0.000000," ","integrate((a*x**8+b)/(-a*x**8+b)**(1/4)/(a*x**8+c*x**4-b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
774,0,0,0,0.000000," ","integrate(x*(x**8-x**3+2)**(1/3)*(5*x**8-6)/(x**16+4*x**8+x**6+4),x)","\int \frac{x \left(5 x^{8} - 6\right) \sqrt[3]{x^{8} - x^{3} + 2}}{x^{16} + 4 x^{8} + x^{6} + 4}\, dx"," ",0,"Integral(x*(5*x**8 - 6)*(x**8 - x**3 + 2)**(1/3)/(x**16 + 4*x**8 + x**6 + 4), x)","F",0
775,-1,0,0,0.000000," ","integrate((a*b+a*c-2*a*x-b*c+x**2)/((-a+x)*(-b+x)*(-c+x))**(1/2)/(b*c+a*d-(b+c+d)*x+x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
776,-1,0,0,0.000000," ","integrate((a*b+a*c-2*a*x-b*c+x**2)/((-a+x)*(-b+x)*(-c+x))**(1/2)/(a+b*c*d-(b*d+c*d+1)*x+d*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
777,0,0,0,0.000000," ","integrate((k**2*x**2-1)/((1-x)*x*(-k**2*x+1))**(1/2)/(k**2*x**2+1),x)","\int \frac{\left(k x - 1\right) \left(k x + 1\right)}{\sqrt{x \left(x - 1\right) \left(k^{2} x - 1\right)} \left(k^{2} x^{2} + 1\right)}\, dx"," ",0,"Integral((k*x - 1)*(k*x + 1)/(sqrt(x*(x - 1)*(k**2*x - 1))*(k**2*x**2 + 1)), x)","F",0
778,-1,0,0,0.000000," ","integrate((a*(a*b+a*c-3*b*c)+(-2*a**2+a*b+a*c+3*b*c)*x+(a-2*b-2*c)*x**2+x**3)/((-a+x)*(-b+x)*(-c+x))**(1/2)/(-a**3-b*c*d+(3*a**2+b*d+c*d)*x-(3*a+d)*x**2+x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
779,-1,0,0,0.000000," ","integrate((a*x**3-2*c)*(a*x**3+b*x**2+c)**(1/2)/(a*x**3+c)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
780,0,0,0,0.000000," ","integrate((a**2*x**2-b)/(a**2*x**2+2*a*b*x+b)/(a**2*x**3+b*x)**(1/2),x)","\int \frac{a^{2} x^{2} - b}{\sqrt{x \left(a^{2} x^{2} + b\right)} \left(a^{2} x^{2} + 2 a b x + b\right)}\, dx"," ",0,"Integral((a**2*x**2 - b)/(sqrt(x*(a**2*x**2 + b))*(a**2*x**2 + 2*a*b*x + b)), x)","F",0
781,-1,0,0,0.000000," ","integrate((a*(a*b+a*c-3*b*c)+(-2*a**2+a*b+a*c+3*b*c)*x+(a-2*b-2*c)*x**2+x**3)/((-a+x)*(-b+x)*(-c+x))**(1/2)/(-b*c-a**3*d+(3*a**2*d+b+c)*x-(3*a*d+1)*x**2+d*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
782,1,58,0,4.702245," ","integrate((x**2-1)*(x**4+1)**(1/2)/x**5,x)","- \frac{x^{2}}{2 \sqrt{x^{4} + 1}} + \frac{\operatorname{asinh}{\left(\frac{1}{x^{2}} \right)}}{4} + \frac{\operatorname{asinh}{\left(x^{2} \right)}}{2} + \frac{\sqrt{1 + \frac{1}{x^{4}}}}{4 x^{2}} - \frac{1}{2 x^{2} \sqrt{x^{4} + 1}}"," ",0,"-x**2/(2*sqrt(x**4 + 1)) + asinh(x**(-2))/4 + asinh(x**2)/2 + sqrt(1 + x**(-4))/(4*x**2) - 1/(2*x**2*sqrt(x**4 + 1))","A",0
783,1,75,0,4.896407," ","integrate((x**2-1)*(x**4+1)**(1/2)/x**3,x)","\frac{x^{2}}{2 \sqrt{x^{4} + 1}} + \frac{x^{2}}{2 \sqrt{1 + \frac{1}{x^{4}}}} - \frac{\operatorname{asinh}{\left(\frac{1}{x^{2}} \right)}}{2} - \frac{\operatorname{asinh}{\left(x^{2} \right)}}{2} + \frac{1}{2 x^{2} \sqrt{x^{4} + 1}} + \frac{1}{2 x^{2} \sqrt{1 + \frac{1}{x^{4}}}}"," ",0,"x**2/(2*sqrt(x**4 + 1)) + x**2/(2*sqrt(1 + x**(-4))) - asinh(x**(-2))/2 - asinh(x**2)/2 + 1/(2*x**2*sqrt(x**4 + 1)) + 1/(2*x**2*sqrt(1 + x**(-4)))","A",0
784,1,153,0,5.300586," ","integrate((2*x**3+1)*(x**6-1)**(1/2)/x**7,x)","\begin{cases} \frac{i \operatorname{acosh}{\left(\frac{1}{x^{3}} \right)}}{6} + \frac{i}{6 x^{3} \sqrt{-1 + \frac{1}{x^{6}}}} - \frac{i}{6 x^{9} \sqrt{-1 + \frac{1}{x^{6}}}} & \text{for}\: \frac{1}{\left|{x^{6}}\right|} > 1 \\- \frac{\operatorname{asin}{\left(\frac{1}{x^{3}} \right)}}{6} - \frac{\sqrt{1 - \frac{1}{x^{6}}}}{6 x^{3}} & \text{otherwise} \end{cases} + 2 \left(\begin{cases} - \frac{x^{3}}{3 \sqrt{x^{6} - 1}} + \frac{\operatorname{acosh}{\left(x^{3} \right)}}{3} + \frac{1}{3 x^{3} \sqrt{x^{6} - 1}} & \text{for}\: \left|{x^{6}}\right| > 1 \\\frac{i x^{3}}{3 \sqrt{1 - x^{6}}} - \frac{i \operatorname{asin}{\left(x^{3} \right)}}{3} - \frac{i}{3 x^{3} \sqrt{1 - x^{6}}} & \text{otherwise} \end{cases}\right)"," ",0,"Piecewise((I*acosh(x**(-3))/6 + I/(6*x**3*sqrt(-1 + x**(-6))) - I/(6*x**9*sqrt(-1 + x**(-6))), 1/Abs(x**6) > 1), (-asin(x**(-3))/6 - sqrt(1 - 1/x**6)/(6*x**3), True)) + 2*Piecewise((-x**3/(3*sqrt(x**6 - 1)) + acosh(x**3)/3 + 1/(3*x**3*sqrt(x**6 - 1)), Abs(x**6) > 1), (I*x**3/(3*sqrt(1 - x**6)) - I*asin(x**3)/3 - I/(3*x**3*sqrt(1 - x**6)), True))","C",0
785,1,168,0,5.216875," ","integrate((2*x**3+1)*(x**6-1)**(1/2)/x**4,x)","\begin{cases} - \frac{x^{3}}{3 \sqrt{x^{6} - 1}} + \frac{\operatorname{acosh}{\left(x^{3} \right)}}{3} + \frac{1}{3 x^{3} \sqrt{x^{6} - 1}} & \text{for}\: \left|{x^{6}}\right| > 1 \\\frac{i x^{3}}{3 \sqrt{1 - x^{6}}} - \frac{i \operatorname{asin}{\left(x^{3} \right)}}{3} - \frac{i}{3 x^{3} \sqrt{1 - x^{6}}} & \text{otherwise} \end{cases} + 2 \left(\begin{cases} - \frac{i x^{3}}{3 \sqrt{-1 + \frac{1}{x^{6}}}} - \frac{i \operatorname{acosh}{\left(\frac{1}{x^{3}} \right)}}{3} + \frac{i}{3 x^{3} \sqrt{-1 + \frac{1}{x^{6}}}} & \text{for}\: \frac{1}{\left|{x^{6}}\right|} > 1 \\\frac{x^{3}}{3 \sqrt{1 - \frac{1}{x^{6}}}} + \frac{\operatorname{asin}{\left(\frac{1}{x^{3}} \right)}}{3} - \frac{1}{3 x^{3} \sqrt{1 - \frac{1}{x^{6}}}} & \text{otherwise} \end{cases}\right)"," ",0,"Piecewise((-x**3/(3*sqrt(x**6 - 1)) + acosh(x**3)/3 + 1/(3*x**3*sqrt(x**6 - 1)), Abs(x**6) > 1), (I*x**3/(3*sqrt(1 - x**6)) - I*asin(x**3)/3 - I/(3*x**3*sqrt(1 - x**6)), True)) + 2*Piecewise((-I*x**3/(3*sqrt(-1 + x**(-6))) - I*acosh(x**(-3))/3 + I/(3*x**3*sqrt(-1 + x**(-6))), 1/Abs(x**6) > 1), (x**3/(3*sqrt(1 - 1/x**6)) + asin(x**(-3))/3 - 1/(3*x**3*sqrt(1 - 1/x**6)), True))","C",0
786,-1,0,0,0.000000," ","integrate((a**6*x**6+b**6)/(a**2*x**3-b**2*x)**(1/2)/(a**6*x**6-b**6+c*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
787,-1,0,0,0.000000," ","integrate((a**6*x**6+b**6)/(a**2*x**3-b**2*x)**(1/2)/(a**6*x**6-b**6+c*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
788,-1,0,0,0.000000," ","integrate((-3*x**5+x)/(x**5+x)**(1/2)/(x**8+2*x**4-a*x**2+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
789,0,0,0,0.000000," ","integrate((-2*x**8+1)**(1/2)*(2*x**8-1)*(2*x**8+1)/x**7/(2*x**8+x**4-1),x)","\int \frac{\sqrt{1 - 2 x^{8}} \left(2 x^{8} - 1\right) \left(2 x^{8} + 1\right)}{x^{7} \left(x^{4} + 1\right) \left(2 x^{4} - 1\right)}\, dx"," ",0,"Integral(sqrt(1 - 2*x**8)*(2*x**8 - 1)*(2*x**8 + 1)/(x**7*(x**4 + 1)*(2*x**4 - 1)), x)","F",0
790,-1,0,0,0.000000," ","integrate((3*x**5-x)/(x**5+x)**(1/2)/(a*x**8+2*a*x**4-x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
791,0,0,0,0.000000," ","integrate(x**5*(9*a*x**2+7*b)/(a*x**5+b*x**3)**(1/4)/(a*x**9+b*x**7-2),x)","\int \frac{x^{5} \left(9 a x^{2} + 7 b\right)}{\sqrt[4]{x^{3} \left(a x^{2} + b\right)} \left(a x^{9} + b x^{7} - 2\right)}\, dx"," ",0,"Integral(x**5*(9*a*x**2 + 7*b)/((x**3*(a*x**2 + b))**(1/4)*(a*x**9 + b*x**7 - 2)), x)","F",0
792,0,0,0,0.000000," ","integrate(x**2/(x**2+1)/(1024*x**10-16640*x**9+112000*x**8-401440*x**7+820340*x**6-954733*x**5+615255*x**4-225810*x**3+47250*x**2-5265*x+243)**(1/5),x)","\int \frac{x^{2}}{\sqrt[5]{\left(x - 3\right)^{5} \left(4 x - 1\right)^{5}} \left(x^{2} + 1\right)}\, dx"," ",0,"Integral(x**2/(((x - 3)**5*(4*x - 1)**5)**(1/5)*(x**2 + 1)), x)","F",0
793,0,0,0,0.000000," ","integrate((x**2-2*x+1)**(1/3)/(x**2+2),x)","\int \frac{\sqrt[3]{\left(x - 1\right)^{2}}}{x^{2} + 2}\, dx"," ",0,"Integral(((x - 1)**2)**(1/3)/(x**2 + 2), x)","F",0
794,0,0,0,0.000000," ","integrate((x**2+2*x+1)**(1/3)/(x**2+3),x)","\int \frac{\sqrt[3]{\left(x + 1\right)^{2}}}{x^{2} + 3}\, dx"," ",0,"Integral(((x + 1)**2)**(1/3)/(x**2 + 3), x)","F",0
795,0,0,0,0.000000," ","integrate(1/(-1+x)/(x**3+x)**(1/4),x)","\int \frac{1}{\sqrt[4]{x \left(x^{2} + 1\right)} \left(x - 1\right)}\, dx"," ",0,"Integral(1/((x*(x**2 + 1))**(1/4)*(x - 1)), x)","F",0
796,0,0,0,0.000000," ","integrate((x**4-1)/(x**3+x)**(1/2)/(x**4+1),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}{\sqrt{x \left(x^{2} + 1\right)} \left(x^{4} + 1\right)}\, dx"," ",0,"Integral((x - 1)*(x + 1)*(x**2 + 1)/(sqrt(x*(x**2 + 1))*(x**4 + 1)), x)","F",0
797,0,0,0,0.000000," ","integrate((x**3+1)/(x**3-1)/(x**4+1)**(1/2),x)","\int \frac{\left(x + 1\right) \left(x^{2} - x + 1\right)}{\left(x - 1\right) \sqrt{x^{4} + 1} \left(x^{2} + x + 1\right)}\, dx"," ",0,"Integral((x + 1)*(x**2 - x + 1)/((x - 1)*sqrt(x**4 + 1)*(x**2 + x + 1)), x)","F",0
798,1,56,0,2.388572," ","integrate((-1+x)/x/(x**4+1)**(1/4),x)","\frac{x \Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{4}, \frac{1}{4} \\ \frac{5}{4} \end{matrix}\middle| {x^{4} e^{i \pi}} \right)}}{4 \Gamma\left(\frac{5}{4}\right)} + \frac{\Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{4}, \frac{1}{4} \\ \frac{5}{4} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{4}}} \right)}}{4 x \Gamma\left(\frac{5}{4}\right)}"," ",0,"x*gamma(1/4)*hyper((1/4, 1/4), (5/4,), x**4*exp_polar(I*pi))/(4*gamma(5/4)) + gamma(1/4)*hyper((1/4, 1/4), (5/4,), exp_polar(I*pi)/x**4)/(4*x*gamma(5/4))","C",0
799,1,41,0,0.934251," ","integrate(x**2/(a*x**4-b)**(3/4),x)","\frac{x^{3} e^{- \frac{3 i \pi}{4}} \Gamma\left(\frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{3}{4} \\ \frac{7}{4} \end{matrix}\middle| {\frac{a x^{4}}{b}} \right)}}{4 b^{\frac{3}{4}} \Gamma\left(\frac{7}{4}\right)}"," ",0,"x**3*exp(-3*I*pi/4)*gamma(3/4)*hyper((3/4, 3/4), (7/4,), a*x**4/b)/(4*b**(3/4)*gamma(7/4))","C",0
800,-1,0,0,0.000000," ","integrate((x**4+6)*(x**5+x**4-2*x)**(1/2)/(x**4-2)/(x**4-x**3-2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
801,0,0,0,0.000000," ","integrate((x**2-3)*(x**3-x**2+1)**(2/3)/(x**6+x**5+x**4-x**3-2*x**2+1),x)","\int \frac{\left(x^{2} - 3\right) \left(x^{3} - x^{2} + 1\right)^{\frac{2}{3}}}{x^{6} + x^{5} + x^{4} - x^{3} - 2 x^{2} + 1}\, dx"," ",0,"Integral((x**2 - 3)*(x**3 - x**2 + 1)**(2/3)/(x**6 + x**5 + x**4 - x**3 - 2*x**2 + 1), x)","F",0
802,0,0,0,0.000000," ","integrate((x**2-3)*(x**3-x**2+1)**(2/3)/(x**6+x**5+x**4-x**3-2*x**2+1),x)","\int \frac{\left(x^{2} - 3\right) \left(x^{3} - x^{2} + 1\right)^{\frac{2}{3}}}{x^{6} + x^{5} + x^{4} - x^{3} - 2 x^{2} + 1}\, dx"," ",0,"Integral((x**2 - 3)*(x**3 - x**2 + 1)**(2/3)/(x**6 + x**5 + x**4 - x**3 - 2*x**2 + 1), x)","F",0
803,1,56,0,43.418064," ","integrate((x**6-1)**(1/2)*(2*x**6-1)**2/x/(4*x**6-1),x)","\frac{\left(x^{6} - 1\right)^{\frac{3}{2}}}{9} - \frac{\sqrt{x^{6} - 1}}{4} - \frac{\sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} \sqrt{x^{6} - 1}}{3} \right)}}{24} + \frac{\operatorname{atan}{\left(\sqrt{x^{6} - 1} \right)}}{3}"," ",0,"(x**6 - 1)**(3/2)/9 - sqrt(x**6 - 1)/4 - sqrt(3)*atan(2*sqrt(3)*sqrt(x**6 - 1)/3)/24 + atan(sqrt(x**6 - 1))/3","A",0
804,0,0,0,0.000000," ","integrate(1/(x**3+x)**(1/3)/(a*x**6+b),x)","\int \frac{1}{\sqrt[3]{x \left(x^{2} + 1\right)} \left(a x^{6} + b\right)}\, dx"," ",0,"Integral(1/((x*(x**2 + 1))**(1/3)*(a*x**6 + b)), x)","F",0
805,0,0,0,0.000000," ","integrate(1/(x**3+x)**(1/3)/(a*x**6+b),x)","\int \frac{1}{\sqrt[3]{x \left(x^{2} + 1\right)} \left(a x^{6} + b\right)}\, dx"," ",0,"Integral(1/((x*(x**2 + 1))**(1/3)*(a*x**6 + b)), x)","F",0
806,0,0,0,0.000000," ","integrate((a*x**4-b)/(a*x**4-2*x**2+b)/(a*x**6+b*x**2)**(1/4),x)","\int \frac{a x^{4} - b}{\sqrt[4]{x^{2} \left(a x^{4} + b\right)} \left(a x^{4} + b - 2 x^{2}\right)}\, dx"," ",0,"Integral((a*x**4 - b)/((x**2*(a*x**4 + b))**(1/4)*(a*x**4 + b - 2*x**2)), x)","F",0
807,0,0,0,0.000000," ","integrate((x**5+4)*(x**10+x**8-2*x**5+1)**(1/2)/x**9,x)","\int \frac{\left(x^{5} + 4\right) \sqrt{x^{10} + x^{8} - 2 x^{5} + 1}}{x^{9}}\, dx"," ",0,"Integral((x**5 + 4)*sqrt(x**10 + x**8 - 2*x**5 + 1)/x**9, x)","F",0
808,-1,0,0,0.000000," ","integrate((x**6+1)*(x**6+x**3-1)**(2/3)/(x**12-x**6+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
809,-1,0,0,0.000000," ","integrate((x**6+1)*(x**6+x**3-1)**(2/3)/(x**12-x**6+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
810,0,0,0,0.000000," ","integrate((5*x**7-2)*(2*x**8+x**3+2*x)**(1/3)/(4*x**14+8*x**7+x**4+4),x)","\int \frac{\sqrt[3]{x \left(2 x^{7} + x^{2} + 2\right)} \left(5 x^{7} - 2\right)}{4 x^{14} + 8 x^{7} + x^{4} + 4}\, dx"," ",0,"Integral((x*(2*x**7 + x**2 + 2))**(1/3)*(5*x**7 - 2)/(4*x**14 + 8*x**7 + x**4 + 4), x)","F",0
811,0,0,0,0.000000," ","integrate((5*x**7-2)*(2*x**8+x**3+2*x)**(1/3)/(4*x**14+8*x**7+x**4+4),x)","\int \frac{\sqrt[3]{x \left(2 x^{7} + x^{2} + 2\right)} \left(5 x^{7} - 2\right)}{4 x^{14} + 8 x^{7} + x^{4} + 4}\, dx"," ",0,"Integral((x*(2*x**7 + x**2 + 2))**(1/3)*(5*x**7 - 2)/(4*x**14 + 8*x**7 + x**4 + 4), x)","F",0
812,0,0,0,0.000000," ","integrate(1/(a*x+(a**2*x**2+b**2)**(1/2))**(1/2),x)","\int \frac{1}{\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}}\, dx"," ",0,"Integral(1/sqrt(a*x + sqrt(a**2*x**2 + b**2)), x)","F",0
813,1,36,0,1.400901," ","integrate(x**10*(x**4-1)**(1/4),x)","- \frac{x^{11} e^{- \frac{3 i \pi}{4}} \Gamma\left(\frac{11}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{4}, \frac{11}{4} \\ \frac{15}{4} \end{matrix}\middle| {x^{4}} \right)}}{4 \Gamma\left(\frac{15}{4}\right)}"," ",0,"-x**11*exp(-3*I*pi/4)*gamma(11/4)*hyper((-1/4, 11/4), (15/4,), x**4)/(4*gamma(15/4))","C",0
814,1,31,0,1.361327," ","integrate(x**10*(x**4+1)**(1/4),x)","\frac{x^{11} \Gamma\left(\frac{11}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{4}, \frac{11}{4} \\ \frac{15}{4} \end{matrix}\middle| {x^{4} e^{i \pi}} \right)}}{4 \Gamma\left(\frac{15}{4}\right)}"," ",0,"x**11*gamma(11/4)*hyper((-1/4, 11/4), (15/4,), x**4*exp_polar(I*pi))/(4*gamma(15/4))","C",0
815,0,0,0,0.000000," ","integrate((x**2+1)/(x**4-x**2+1)/(x**4+x**2)**(1/4),x)","\int \frac{x^{2} + 1}{\sqrt[4]{x^{2} \left(x^{2} + 1\right)} \left(x^{4} - x^{2} + 1\right)}\, dx"," ",0,"Integral((x**2 + 1)/((x**2*(x**2 + 1))**(1/4)*(x**4 - x**2 + 1)), x)","F",0
816,0,0,0,0.000000," ","integrate(1/(a*x**4-b)/(a*x**4-b*x**2)**(1/4),x)","\int \frac{1}{\sqrt[4]{x^{2} \left(a x^{2} - b\right)} \left(a x^{4} - b\right)}\, dx"," ",0,"Integral(1/((x**2*(a*x**2 - b))**(1/4)*(a*x**4 - b)), x)","F",0
817,0,0,0,0.000000," ","integrate(1/(a*x**4-b)/(a*x**4-b*x**2)**(1/4),x)","\int \frac{1}{\sqrt[4]{x^{2} \left(a x^{2} - b\right)} \left(a x^{4} - b\right)}\, dx"," ",0,"Integral(1/((x**2*(a*x**2 - b))**(1/4)*(a*x**4 - b)), x)","F",0
818,0,0,0,0.000000," ","integrate((-x**2+1)/x/(a*x**4+b*x**3+c*x**2+b*x+a)**(1/2),x)","- \int \left(- \frac{1}{x \sqrt{a x^{4} + a + b x^{3} + b x + c x^{2}}}\right)\, dx - \int \frac{x}{\sqrt{a x^{4} + a + b x^{3} + b x + c x^{2}}}\, dx"," ",0,"-Integral(-1/(x*sqrt(a*x**4 + a + b*x**3 + b*x + c*x**2)), x) - Integral(x/sqrt(a*x**4 + a + b*x**3 + b*x + c*x**2), x)","F",0
819,-1,0,0,0.000000," ","integrate(x**2*(3*x**4-1)/(x**4+1)**2/(a*x**4+a-x)/(x**5+x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
820,-1,0,0,0.000000," ","integrate((x**4-3)*(x**8-x**7-x**6+2*x**4-x**3+1)/x**6/(x**4-x**3+1)/(x**5+x)**(1/4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
821,1,6166,0,5.286598," ","integrate((x**2+1)/(1+(1+x)**(1/2))**(1/2),x)","\frac{4900 x^{\frac{39}{2}} \left(x + 1\right)^{\frac{3}{4}} \cos{\left(\frac{11 \operatorname{atan}{\left(\sqrt{x} \right)}}{2} \right)} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{3465 \pi x^{\frac{35}{2}} + 41580 \pi x^{\frac{33}{2}} + 228690 \pi x^{\frac{31}{2}} + 762300 \pi x^{\frac{29}{2}} + 1715175 \pi x^{\frac{27}{2}} + 2744280 \pi x^{\frac{25}{2}} + 3201660 \pi x^{\frac{23}{2}} + 2744280 \pi x^{\frac{21}{2}} + 1715175 \pi x^{\frac{19}{2}} + 762300 \pi x^{\frac{17}{2}} + 228690 \pi x^{\frac{15}{2}} + 41580 \pi x^{\frac{13}{2}} + 3465 \pi x^{\frac{11}{2}}} + \frac{45632 x^{\frac{37}{2}} \left(x + 1\right)^{\frac{3}{4}} \cos{\left(\frac{11 \operatorname{atan}{\left(\sqrt{x} \right)}}{2} \right)} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{3465 \pi x^{\frac{35}{2}} + 41580 \pi x^{\frac{33}{2}} + 228690 \pi x^{\frac{31}{2}} + 762300 \pi x^{\frac{29}{2}} + 1715175 \pi x^{\frac{27}{2}} + 2744280 \pi x^{\frac{25}{2}} + 3201660 \pi x^{\frac{23}{2}} + 2744280 \pi x^{\frac{21}{2}} + 1715175 \pi x^{\frac{19}{2}} + 762300 \pi x^{\frac{17}{2}} + 228690 \pi x^{\frac{15}{2}} + 41580 \pi x^{\frac{13}{2}} + 3465 \pi x^{\frac{11}{2}}} + \frac{183352 x^{\frac{35}{2}} \left(x + 1\right)^{\frac{3}{4}} \cos{\left(\frac{11 \operatorname{atan}{\left(\sqrt{x} \right)}}{2} \right)} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{3465 \pi x^{\frac{35}{2}} + 41580 \pi x^{\frac{33}{2}} + 228690 \pi x^{\frac{31}{2}} + 762300 \pi x^{\frac{29}{2}} + 1715175 \pi x^{\frac{27}{2}} + 2744280 \pi x^{\frac{25}{2}} + 3201660 \pi x^{\frac{23}{2}} + 2744280 \pi x^{\frac{21}{2}} + 1715175 \pi x^{\frac{19}{2}} + 762300 \pi x^{\frac{17}{2}} + 228690 \pi x^{\frac{15}{2}} + 41580 \pi x^{\frac{13}{2}} + 3465 \pi x^{\frac{11}{2}}} + \frac{512 x^{\frac{35}{2}} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{3465 \pi x^{\frac{35}{2}} + 41580 \pi x^{\frac{33}{2}} + 228690 \pi x^{\frac{31}{2}} + 762300 \pi x^{\frac{29}{2}} + 1715175 \pi x^{\frac{27}{2}} + 2744280 \pi x^{\frac{25}{2}} + 3201660 \pi x^{\frac{23}{2}} + 2744280 \pi x^{\frac{21}{2}} + 1715175 \pi x^{\frac{19}{2}} + 762300 \pi x^{\frac{17}{2}} + 228690 \pi x^{\frac{15}{2}} + 41580 \pi x^{\frac{13}{2}} + 3465 \pi x^{\frac{11}{2}}} + \frac{406048 x^{\frac{33}{2}} \left(x + 1\right)^{\frac{3}{4}} \cos{\left(\frac{11 \operatorname{atan}{\left(\sqrt{x} \right)}}{2} \right)} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{3465 \pi x^{\frac{35}{2}} + 41580 \pi x^{\frac{33}{2}} + 228690 \pi x^{\frac{31}{2}} + 762300 \pi x^{\frac{29}{2}} + 1715175 \pi x^{\frac{27}{2}} + 2744280 \pi x^{\frac{25}{2}} + 3201660 \pi x^{\frac{23}{2}} + 2744280 \pi x^{\frac{21}{2}} + 1715175 \pi x^{\frac{19}{2}} + 762300 \pi x^{\frac{17}{2}} + 228690 \pi x^{\frac{15}{2}} + 41580 \pi x^{\frac{13}{2}} + 3465 \pi x^{\frac{11}{2}}} + \frac{6144 x^{\frac{33}{2}} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{3465 \pi x^{\frac{35}{2}} + 41580 \pi x^{\frac{33}{2}} + 228690 \pi x^{\frac{31}{2}} + 762300 \pi x^{\frac{29}{2}} + 1715175 \pi x^{\frac{27}{2}} + 2744280 \pi x^{\frac{25}{2}} + 3201660 \pi x^{\frac{23}{2}} + 2744280 \pi x^{\frac{21}{2}} + 1715175 \pi x^{\frac{19}{2}} + 762300 \pi x^{\frac{17}{2}} + 228690 \pi x^{\frac{15}{2}} + 41580 \pi x^{\frac{13}{2}} + 3465 \pi x^{\frac{11}{2}}} + \frac{511148 x^{\frac{31}{2}} \left(x + 1\right)^{\frac{3}{4}} \cos{\left(\frac{11 \operatorname{atan}{\left(\sqrt{x} \right)}}{2} \right)} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{3465 \pi x^{\frac{35}{2}} + 41580 \pi x^{\frac{33}{2}} + 228690 \pi x^{\frac{31}{2}} + 762300 \pi x^{\frac{29}{2}} + 1715175 \pi x^{\frac{27}{2}} + 2744280 \pi x^{\frac{25}{2}} + 3201660 \pi x^{\frac{23}{2}} + 2744280 \pi x^{\frac{21}{2}} + 1715175 \pi x^{\frac{19}{2}} + 762300 \pi x^{\frac{17}{2}} + 228690 \pi x^{\frac{15}{2}} + 41580 \pi x^{\frac{13}{2}} + 3465 \pi x^{\frac{11}{2}}} + \frac{33792 x^{\frac{31}{2}} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{3465 \pi x^{\frac{35}{2}} + 41580 \pi x^{\frac{33}{2}} + 228690 \pi x^{\frac{31}{2}} + 762300 \pi x^{\frac{29}{2}} + 1715175 \pi x^{\frac{27}{2}} + 2744280 \pi x^{\frac{25}{2}} + 3201660 \pi x^{\frac{23}{2}} + 2744280 \pi x^{\frac{21}{2}} + 1715175 \pi x^{\frac{19}{2}} + 762300 \pi x^{\frac{17}{2}} + 228690 \pi x^{\frac{15}{2}} + 41580 \pi x^{\frac{13}{2}} + 3465 \pi x^{\frac{11}{2}}} + \frac{299200 x^{\frac{29}{2}} \left(x + 1\right)^{\frac{3}{4}} \cos{\left(\frac{11 \operatorname{atan}{\left(\sqrt{x} \right)}}{2} \right)} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{3465 \pi x^{\frac{35}{2}} + 41580 \pi x^{\frac{33}{2}} + 228690 \pi x^{\frac{31}{2}} + 762300 \pi x^{\frac{29}{2}} + 1715175 \pi x^{\frac{27}{2}} + 2744280 \pi x^{\frac{25}{2}} + 3201660 \pi x^{\frac{23}{2}} + 2744280 \pi x^{\frac{21}{2}} + 1715175 \pi x^{\frac{19}{2}} + 762300 \pi x^{\frac{17}{2}} + 228690 \pi x^{\frac{15}{2}} + 41580 \pi x^{\frac{13}{2}} + 3465 \pi x^{\frac{11}{2}}} + \frac{112640 x^{\frac{29}{2}} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{3465 \pi x^{\frac{35}{2}} + 41580 \pi x^{\frac{33}{2}} + 228690 \pi x^{\frac{31}{2}} + 762300 \pi x^{\frac{29}{2}} + 1715175 \pi x^{\frac{27}{2}} + 2744280 \pi x^{\frac{25}{2}} + 3201660 \pi x^{\frac{23}{2}} + 2744280 \pi x^{\frac{21}{2}} + 1715175 \pi x^{\frac{19}{2}} + 762300 \pi x^{\frac{17}{2}} + 228690 \pi x^{\frac{15}{2}} + 41580 \pi x^{\frac{13}{2}} + 3465 \pi x^{\frac{11}{2}}} - \frac{56496 x^{\frac{27}{2}} \left(x + 1\right)^{\frac{3}{4}} \cos{\left(\frac{11 \operatorname{atan}{\left(\sqrt{x} \right)}}{2} \right)} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{3465 \pi x^{\frac{35}{2}} + 41580 \pi x^{\frac{33}{2}} + 228690 \pi x^{\frac{31}{2}} + 762300 \pi x^{\frac{29}{2}} + 1715175 \pi x^{\frac{27}{2}} + 2744280 \pi x^{\frac{25}{2}} + 3201660 \pi x^{\frac{23}{2}} + 2744280 \pi x^{\frac{21}{2}} + 1715175 \pi x^{\frac{19}{2}} + 762300 \pi x^{\frac{17}{2}} + 228690 \pi x^{\frac{15}{2}} + 41580 \pi x^{\frac{13}{2}} + 3465 \pi x^{\frac{11}{2}}} + \frac{253440 x^{\frac{27}{2}} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{3465 \pi x^{\frac{35}{2}} + 41580 \pi x^{\frac{33}{2}} + 228690 \pi x^{\frac{31}{2}} + 762300 \pi x^{\frac{29}{2}} + 1715175 \pi x^{\frac{27}{2}} + 2744280 \pi x^{\frac{25}{2}} + 3201660 \pi x^{\frac{23}{2}} + 2744280 \pi x^{\frac{21}{2}} + 1715175 \pi x^{\frac{19}{2}} + 762300 \pi x^{\frac{17}{2}} + 228690 \pi x^{\frac{15}{2}} + 41580 \pi x^{\frac{13}{2}} + 3465 \pi x^{\frac{11}{2}}} - \frac{154176 x^{\frac{25}{2}} \left(x + 1\right)^{\frac{3}{4}} \cos{\left(\frac{11 \operatorname{atan}{\left(\sqrt{x} \right)}}{2} \right)} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{3465 \pi x^{\frac{35}{2}} + 41580 \pi x^{\frac{33}{2}} + 228690 \pi x^{\frac{31}{2}} + 762300 \pi x^{\frac{29}{2}} + 1715175 \pi x^{\frac{27}{2}} + 2744280 \pi x^{\frac{25}{2}} + 3201660 \pi x^{\frac{23}{2}} + 2744280 \pi x^{\frac{21}{2}} + 1715175 \pi x^{\frac{19}{2}} + 762300 \pi x^{\frac{17}{2}} + 228690 \pi x^{\frac{15}{2}} + 41580 \pi x^{\frac{13}{2}} + 3465 \pi x^{\frac{11}{2}}} + \frac{405504 x^{\frac{25}{2}} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{3465 \pi x^{\frac{35}{2}} + 41580 \pi x^{\frac{33}{2}} + 228690 \pi x^{\frac{31}{2}} + 762300 \pi x^{\frac{29}{2}} + 1715175 \pi x^{\frac{27}{2}} + 2744280 \pi x^{\frac{25}{2}} + 3201660 \pi x^{\frac{23}{2}} + 2744280 \pi x^{\frac{21}{2}} + 1715175 \pi x^{\frac{19}{2}} + 762300 \pi x^{\frac{17}{2}} + 228690 \pi x^{\frac{15}{2}} + 41580 \pi x^{\frac{13}{2}} + 3465 \pi x^{\frac{11}{2}}} + \frac{61116 x^{\frac{23}{2}} \left(x + 1\right)^{\frac{3}{4}} \cos{\left(\frac{11 \operatorname{atan}{\left(\sqrt{x} \right)}}{2} \right)} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{3465 \pi x^{\frac{35}{2}} + 41580 \pi x^{\frac{33}{2}} + 228690 \pi x^{\frac{31}{2}} + 762300 \pi x^{\frac{29}{2}} + 1715175 \pi x^{\frac{27}{2}} + 2744280 \pi x^{\frac{25}{2}} + 3201660 \pi x^{\frac{23}{2}} + 2744280 \pi x^{\frac{21}{2}} + 1715175 \pi x^{\frac{19}{2}} + 762300 \pi x^{\frac{17}{2}} + 228690 \pi x^{\frac{15}{2}} + 41580 \pi x^{\frac{13}{2}} + 3465 \pi x^{\frac{11}{2}}} + \frac{473088 x^{\frac{23}{2}} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{3465 \pi x^{\frac{35}{2}} + 41580 \pi x^{\frac{33}{2}} + 228690 \pi x^{\frac{31}{2}} + 762300 \pi x^{\frac{29}{2}} + 1715175 \pi x^{\frac{27}{2}} + 2744280 \pi x^{\frac{25}{2}} + 3201660 \pi x^{\frac{23}{2}} + 2744280 \pi x^{\frac{21}{2}} + 1715175 \pi x^{\frac{19}{2}} + 762300 \pi x^{\frac{17}{2}} + 228690 \pi x^{\frac{15}{2}} + 41580 \pi x^{\frac{13}{2}} + 3465 \pi x^{\frac{11}{2}}} + \frac{252736 x^{\frac{21}{2}} \left(x + 1\right)^{\frac{3}{4}} \cos{\left(\frac{11 \operatorname{atan}{\left(\sqrt{x} \right)}}{2} \right)} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{3465 \pi x^{\frac{35}{2}} + 41580 \pi x^{\frac{33}{2}} + 228690 \pi x^{\frac{31}{2}} + 762300 \pi x^{\frac{29}{2}} + 1715175 \pi x^{\frac{27}{2}} + 2744280 \pi x^{\frac{25}{2}} + 3201660 \pi x^{\frac{23}{2}} + 2744280 \pi x^{\frac{21}{2}} + 1715175 \pi x^{\frac{19}{2}} + 762300 \pi x^{\frac{17}{2}} + 228690 \pi x^{\frac{15}{2}} + 41580 \pi x^{\frac{13}{2}} + 3465 \pi x^{\frac{11}{2}}} + \frac{405504 x^{\frac{21}{2}} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{3465 \pi x^{\frac{35}{2}} + 41580 \pi x^{\frac{33}{2}} + 228690 \pi x^{\frac{31}{2}} + 762300 \pi x^{\frac{29}{2}} + 1715175 \pi x^{\frac{27}{2}} + 2744280 \pi x^{\frac{25}{2}} + 3201660 \pi x^{\frac{23}{2}} + 2744280 \pi x^{\frac{21}{2}} + 1715175 \pi x^{\frac{19}{2}} + 762300 \pi x^{\frac{17}{2}} + 228690 \pi x^{\frac{15}{2}} + 41580 \pi x^{\frac{13}{2}} + 3465 \pi x^{\frac{11}{2}}} + \frac{222200 x^{\frac{19}{2}} \left(x + 1\right)^{\frac{3}{4}} \cos{\left(\frac{11 \operatorname{atan}{\left(\sqrt{x} \right)}}{2} \right)} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{3465 \pi x^{\frac{35}{2}} + 41580 \pi x^{\frac{33}{2}} + 228690 \pi x^{\frac{31}{2}} + 762300 \pi x^{\frac{29}{2}} + 1715175 \pi x^{\frac{27}{2}} + 2744280 \pi x^{\frac{25}{2}} + 3201660 \pi x^{\frac{23}{2}} + 2744280 \pi x^{\frac{21}{2}} + 1715175 \pi x^{\frac{19}{2}} + 762300 \pi x^{\frac{17}{2}} + 228690 \pi x^{\frac{15}{2}} + 41580 \pi x^{\frac{13}{2}} + 3465 \pi x^{\frac{11}{2}}} + \frac{253440 x^{\frac{19}{2}} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{3465 \pi x^{\frac{35}{2}} + 41580 \pi x^{\frac{33}{2}} + 228690 \pi x^{\frac{31}{2}} + 762300 \pi x^{\frac{29}{2}} + 1715175 \pi x^{\frac{27}{2}} + 2744280 \pi x^{\frac{25}{2}} + 3201660 \pi x^{\frac{23}{2}} + 2744280 \pi x^{\frac{21}{2}} + 1715175 \pi x^{\frac{19}{2}} + 762300 \pi x^{\frac{17}{2}} + 228690 \pi x^{\frac{15}{2}} + 41580 \pi x^{\frac{13}{2}} + 3465 \pi x^{\frac{11}{2}}} + \frac{93472 x^{\frac{17}{2}} \left(x + 1\right)^{\frac{3}{4}} \cos{\left(\frac{11 \operatorname{atan}{\left(\sqrt{x} \right)}}{2} \right)} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{3465 \pi x^{\frac{35}{2}} + 41580 \pi x^{\frac{33}{2}} + 228690 \pi x^{\frac{31}{2}} + 762300 \pi x^{\frac{29}{2}} + 1715175 \pi x^{\frac{27}{2}} + 2744280 \pi x^{\frac{25}{2}} + 3201660 \pi x^{\frac{23}{2}} + 2744280 \pi x^{\frac{21}{2}} + 1715175 \pi x^{\frac{19}{2}} + 762300 \pi x^{\frac{17}{2}} + 228690 \pi x^{\frac{15}{2}} + 41580 \pi x^{\frac{13}{2}} + 3465 \pi x^{\frac{11}{2}}} + \frac{112640 x^{\frac{17}{2}} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{3465 \pi x^{\frac{35}{2}} + 41580 \pi x^{\frac{33}{2}} + 228690 \pi x^{\frac{31}{2}} + 762300 \pi x^{\frac{29}{2}} + 1715175 \pi x^{\frac{27}{2}} + 2744280 \pi x^{\frac{25}{2}} + 3201660 \pi x^{\frac{23}{2}} + 2744280 \pi x^{\frac{21}{2}} + 1715175 \pi x^{\frac{19}{2}} + 762300 \pi x^{\frac{17}{2}} + 228690 \pi x^{\frac{15}{2}} + 41580 \pi x^{\frac{13}{2}} + 3465 \pi x^{\frac{11}{2}}} + \frac{16372 x^{\frac{15}{2}} \left(x + 1\right)^{\frac{3}{4}} \cos{\left(\frac{11 \operatorname{atan}{\left(\sqrt{x} \right)}}{2} \right)} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{3465 \pi x^{\frac{35}{2}} + 41580 \pi x^{\frac{33}{2}} + 228690 \pi x^{\frac{31}{2}} + 762300 \pi x^{\frac{29}{2}} + 1715175 \pi x^{\frac{27}{2}} + 2744280 \pi x^{\frac{25}{2}} + 3201660 \pi x^{\frac{23}{2}} + 2744280 \pi x^{\frac{21}{2}} + 1715175 \pi x^{\frac{19}{2}} + 762300 \pi x^{\frac{17}{2}} + 228690 \pi x^{\frac{15}{2}} + 41580 \pi x^{\frac{13}{2}} + 3465 \pi x^{\frac{11}{2}}} + \frac{33792 x^{\frac{15}{2}} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{3465 \pi x^{\frac{35}{2}} + 41580 \pi x^{\frac{33}{2}} + 228690 \pi x^{\frac{31}{2}} + 762300 \pi x^{\frac{29}{2}} + 1715175 \pi x^{\frac{27}{2}} + 2744280 \pi x^{\frac{25}{2}} + 3201660 \pi x^{\frac{23}{2}} + 2744280 \pi x^{\frac{21}{2}} + 1715175 \pi x^{\frac{19}{2}} + 762300 \pi x^{\frac{17}{2}} + 228690 \pi x^{\frac{15}{2}} + 41580 \pi x^{\frac{13}{2}} + 3465 \pi x^{\frac{11}{2}}} - \frac{832 x^{\frac{13}{2}} \left(x + 1\right)^{\frac{3}{4}} \cos{\left(\frac{11 \operatorname{atan}{\left(\sqrt{x} \right)}}{2} \right)} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{3465 \pi x^{\frac{35}{2}} + 41580 \pi x^{\frac{33}{2}} + 228690 \pi x^{\frac{31}{2}} + 762300 \pi x^{\frac{29}{2}} + 1715175 \pi x^{\frac{27}{2}} + 2744280 \pi x^{\frac{25}{2}} + 3201660 \pi x^{\frac{23}{2}} + 2744280 \pi x^{\frac{21}{2}} + 1715175 \pi x^{\frac{19}{2}} + 762300 \pi x^{\frac{17}{2}} + 228690 \pi x^{\frac{15}{2}} + 41580 \pi x^{\frac{13}{2}} + 3465 \pi x^{\frac{11}{2}}} + \frac{6144 x^{\frac{13}{2}} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{3465 \pi x^{\frac{35}{2}} + 41580 \pi x^{\frac{33}{2}} + 228690 \pi x^{\frac{31}{2}} + 762300 \pi x^{\frac{29}{2}} + 1715175 \pi x^{\frac{27}{2}} + 2744280 \pi x^{\frac{25}{2}} + 3201660 \pi x^{\frac{23}{2}} + 2744280 \pi x^{\frac{21}{2}} + 1715175 \pi x^{\frac{19}{2}} + 762300 \pi x^{\frac{17}{2}} + 228690 \pi x^{\frac{15}{2}} + 41580 \pi x^{\frac{13}{2}} + 3465 \pi x^{\frac{11}{2}}} - \frac{512 x^{\frac{11}{2}} \left(x + 1\right)^{\frac{3}{4}} \cos{\left(\frac{11 \operatorname{atan}{\left(\sqrt{x} \right)}}{2} \right)} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{3465 \pi x^{\frac{35}{2}} + 41580 \pi x^{\frac{33}{2}} + 228690 \pi x^{\frac{31}{2}} + 762300 \pi x^{\frac{29}{2}} + 1715175 \pi x^{\frac{27}{2}} + 2744280 \pi x^{\frac{25}{2}} + 3201660 \pi x^{\frac{23}{2}} + 2744280 \pi x^{\frac{21}{2}} + 1715175 \pi x^{\frac{19}{2}} + 762300 \pi x^{\frac{17}{2}} + 228690 \pi x^{\frac{15}{2}} + 41580 \pi x^{\frac{13}{2}} + 3465 \pi x^{\frac{11}{2}}} + \frac{512 x^{\frac{11}{2}} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{3465 \pi x^{\frac{35}{2}} + 41580 \pi x^{\frac{33}{2}} + 228690 \pi x^{\frac{31}{2}} + 762300 \pi x^{\frac{29}{2}} + 1715175 \pi x^{\frac{27}{2}} + 2744280 \pi x^{\frac{25}{2}} + 3201660 \pi x^{\frac{23}{2}} + 2744280 \pi x^{\frac{21}{2}} + 1715175 \pi x^{\frac{19}{2}} + 762300 \pi x^{\frac{17}{2}} + 228690 \pi x^{\frac{15}{2}} + 41580 \pi x^{\frac{13}{2}} + 3465 \pi x^{\frac{11}{2}}} + \frac{6160 x^{20} \sqrt[4]{x + 1} \sin{\left(\frac{9 \operatorname{atan}{\left(\sqrt{x} \right)}}{2} \right)} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{3465 \pi x^{\frac{35}{2}} + 41580 \pi x^{\frac{33}{2}} + 228690 \pi x^{\frac{31}{2}} + 762300 \pi x^{\frac{29}{2}} + 1715175 \pi x^{\frac{27}{2}} + 2744280 \pi x^{\frac{25}{2}} + 3201660 \pi x^{\frac{23}{2}} + 2744280 \pi x^{\frac{21}{2}} + 1715175 \pi x^{\frac{19}{2}} + 762300 \pi x^{\frac{17}{2}} + 228690 \pi x^{\frac{15}{2}} + 41580 \pi x^{\frac{13}{2}} + 3465 \pi x^{\frac{11}{2}}} + \frac{51392 x^{19} \sqrt[4]{x + 1} \sin{\left(\frac{9 \operatorname{atan}{\left(\sqrt{x} \right)}}{2} \right)} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{3465 \pi x^{\frac{35}{2}} + 41580 \pi x^{\frac{33}{2}} + 228690 \pi x^{\frac{31}{2}} + 762300 \pi x^{\frac{29}{2}} + 1715175 \pi x^{\frac{27}{2}} + 2744280 \pi x^{\frac{25}{2}} + 3201660 \pi x^{\frac{23}{2}} + 2744280 \pi x^{\frac{21}{2}} + 1715175 \pi x^{\frac{19}{2}} + 762300 \pi x^{\frac{17}{2}} + 228690 \pi x^{\frac{15}{2}} + 41580 \pi x^{\frac{13}{2}} + 3465 \pi x^{\frac{11}{2}}} + \frac{170368 x^{18} \sqrt[4]{x + 1} \sin{\left(\frac{9 \operatorname{atan}{\left(\sqrt{x} \right)}}{2} \right)} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{3465 \pi x^{\frac{35}{2}} + 41580 \pi x^{\frac{33}{2}} + 228690 \pi x^{\frac{31}{2}} + 762300 \pi x^{\frac{29}{2}} + 1715175 \pi x^{\frac{27}{2}} + 2744280 \pi x^{\frac{25}{2}} + 3201660 \pi x^{\frac{23}{2}} + 2744280 \pi x^{\frac{21}{2}} + 1715175 \pi x^{\frac{19}{2}} + 762300 \pi x^{\frac{17}{2}} + 228690 \pi x^{\frac{15}{2}} + 41580 \pi x^{\frac{13}{2}} + 3465 \pi x^{\frac{11}{2}}} + \frac{241120 x^{17} \sqrt[4]{x + 1} \sin{\left(\frac{9 \operatorname{atan}{\left(\sqrt{x} \right)}}{2} \right)} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{3465 \pi x^{\frac{35}{2}} + 41580 \pi x^{\frac{33}{2}} + 228690 \pi x^{\frac{31}{2}} + 762300 \pi x^{\frac{29}{2}} + 1715175 \pi x^{\frac{27}{2}} + 2744280 \pi x^{\frac{25}{2}} + 3201660 \pi x^{\frac{23}{2}} + 2744280 \pi x^{\frac{21}{2}} + 1715175 \pi x^{\frac{19}{2}} + 762300 \pi x^{\frac{17}{2}} + 228690 \pi x^{\frac{15}{2}} + 41580 \pi x^{\frac{13}{2}} + 3465 \pi x^{\frac{11}{2}}} - \frac{60016 x^{16} \sqrt[4]{x + 1} \sin{\left(\frac{9 \operatorname{atan}{\left(\sqrt{x} \right)}}{2} \right)} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{3465 \pi x^{\frac{35}{2}} + 41580 \pi x^{\frac{33}{2}} + 228690 \pi x^{\frac{31}{2}} + 762300 \pi x^{\frac{29}{2}} + 1715175 \pi x^{\frac{27}{2}} + 2744280 \pi x^{\frac{25}{2}} + 3201660 \pi x^{\frac{23}{2}} + 2744280 \pi x^{\frac{21}{2}} + 1715175 \pi x^{\frac{19}{2}} + 762300 \pi x^{\frac{17}{2}} + 228690 \pi x^{\frac{15}{2}} + 41580 \pi x^{\frac{13}{2}} + 3465 \pi x^{\frac{11}{2}}} - \frac{793760 x^{15} \sqrt[4]{x + 1} \sin{\left(\frac{9 \operatorname{atan}{\left(\sqrt{x} \right)}}{2} \right)} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{3465 \pi x^{\frac{35}{2}} + 41580 \pi x^{\frac{33}{2}} + 228690 \pi x^{\frac{31}{2}} + 762300 \pi x^{\frac{29}{2}} + 1715175 \pi x^{\frac{27}{2}} + 2744280 \pi x^{\frac{25}{2}} + 3201660 \pi x^{\frac{23}{2}} + 2744280 \pi x^{\frac{21}{2}} + 1715175 \pi x^{\frac{19}{2}} + 762300 \pi x^{\frac{17}{2}} + 228690 \pi x^{\frac{15}{2}} + 41580 \pi x^{\frac{13}{2}} + 3465 \pi x^{\frac{11}{2}}} - \frac{1347456 x^{14} \sqrt[4]{x + 1} \sin{\left(\frac{9 \operatorname{atan}{\left(\sqrt{x} \right)}}{2} \right)} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{3465 \pi x^{\frac{35}{2}} + 41580 \pi x^{\frac{33}{2}} + 228690 \pi x^{\frac{31}{2}} + 762300 \pi x^{\frac{29}{2}} + 1715175 \pi x^{\frac{27}{2}} + 2744280 \pi x^{\frac{25}{2}} + 3201660 \pi x^{\frac{23}{2}} + 2744280 \pi x^{\frac{21}{2}} + 1715175 \pi x^{\frac{19}{2}} + 762300 \pi x^{\frac{17}{2}} + 228690 \pi x^{\frac{15}{2}} + 41580 \pi x^{\frac{13}{2}} + 3465 \pi x^{\frac{11}{2}}} - \frac{1091904 x^{13} \sqrt[4]{x + 1} \sin{\left(\frac{9 \operatorname{atan}{\left(\sqrt{x} \right)}}{2} \right)} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{3465 \pi x^{\frac{35}{2}} + 41580 \pi x^{\frac{33}{2}} + 228690 \pi x^{\frac{31}{2}} + 762300 \pi x^{\frac{29}{2}} + 1715175 \pi x^{\frac{27}{2}} + 2744280 \pi x^{\frac{25}{2}} + 3201660 \pi x^{\frac{23}{2}} + 2744280 \pi x^{\frac{21}{2}} + 1715175 \pi x^{\frac{19}{2}} + 762300 \pi x^{\frac{17}{2}} + 228690 \pi x^{\frac{15}{2}} + 41580 \pi x^{\frac{13}{2}} + 3465 \pi x^{\frac{11}{2}}} - \frac{319440 x^{12} \sqrt[4]{x + 1} \sin{\left(\frac{9 \operatorname{atan}{\left(\sqrt{x} \right)}}{2} \right)} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{3465 \pi x^{\frac{35}{2}} + 41580 \pi x^{\frac{33}{2}} + 228690 \pi x^{\frac{31}{2}} + 762300 \pi x^{\frac{29}{2}} + 1715175 \pi x^{\frac{27}{2}} + 2744280 \pi x^{\frac{25}{2}} + 3201660 \pi x^{\frac{23}{2}} + 2744280 \pi x^{\frac{21}{2}} + 1715175 \pi x^{\frac{19}{2}} + 762300 \pi x^{\frac{17}{2}} + 228690 \pi x^{\frac{15}{2}} + 41580 \pi x^{\frac{13}{2}} + 3465 \pi x^{\frac{11}{2}}} + \frac{170368 x^{11} \sqrt[4]{x + 1} \sin{\left(\frac{9 \operatorname{atan}{\left(\sqrt{x} \right)}}{2} \right)} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{3465 \pi x^{\frac{35}{2}} + 41580 \pi x^{\frac{33}{2}} + 228690 \pi x^{\frac{31}{2}} + 762300 \pi x^{\frac{29}{2}} + 1715175 \pi x^{\frac{27}{2}} + 2744280 \pi x^{\frac{25}{2}} + 3201660 \pi x^{\frac{23}{2}} + 2744280 \pi x^{\frac{21}{2}} + 1715175 \pi x^{\frac{19}{2}} + 762300 \pi x^{\frac{17}{2}} + 228690 \pi x^{\frac{15}{2}} + 41580 \pi x^{\frac{13}{2}} + 3465 \pi x^{\frac{11}{2}}} + \frac{154880 x^{10} \sqrt[4]{x + 1} \sin{\left(\frac{9 \operatorname{atan}{\left(\sqrt{x} \right)}}{2} \right)} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{3465 \pi x^{\frac{35}{2}} + 41580 \pi x^{\frac{33}{2}} + 228690 \pi x^{\frac{31}{2}} + 762300 \pi x^{\frac{29}{2}} + 1715175 \pi x^{\frac{27}{2}} + 2744280 \pi x^{\frac{25}{2}} + 3201660 \pi x^{\frac{23}{2}} + 2744280 \pi x^{\frac{21}{2}} + 1715175 \pi x^{\frac{19}{2}} + 762300 \pi x^{\frac{17}{2}} + 228690 \pi x^{\frac{15}{2}} + 41580 \pi x^{\frac{13}{2}} + 3465 \pi x^{\frac{11}{2}}} + \frac{352 x^{9} \sqrt[4]{x + 1} \sin{\left(\frac{9 \operatorname{atan}{\left(\sqrt{x} \right)}}{2} \right)} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{3465 \pi x^{\frac{35}{2}} + 41580 \pi x^{\frac{33}{2}} + 228690 \pi x^{\frac{31}{2}} + 762300 \pi x^{\frac{29}{2}} + 1715175 \pi x^{\frac{27}{2}} + 2744280 \pi x^{\frac{25}{2}} + 3201660 \pi x^{\frac{23}{2}} + 2744280 \pi x^{\frac{21}{2}} + 1715175 \pi x^{\frac{19}{2}} + 762300 \pi x^{\frac{17}{2}} + 228690 \pi x^{\frac{15}{2}} + 41580 \pi x^{\frac{13}{2}} + 3465 \pi x^{\frac{11}{2}}} - \frac{43472 x^{8} \sqrt[4]{x + 1} \sin{\left(\frac{9 \operatorname{atan}{\left(\sqrt{x} \right)}}{2} \right)} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{3465 \pi x^{\frac{35}{2}} + 41580 \pi x^{\frac{33}{2}} + 228690 \pi x^{\frac{31}{2}} + 762300 \pi x^{\frac{29}{2}} + 1715175 \pi x^{\frac{27}{2}} + 2744280 \pi x^{\frac{25}{2}} + 3201660 \pi x^{\frac{23}{2}} + 2744280 \pi x^{\frac{21}{2}} + 1715175 \pi x^{\frac{19}{2}} + 762300 \pi x^{\frac{17}{2}} + 228690 \pi x^{\frac{15}{2}} + 41580 \pi x^{\frac{13}{2}} + 3465 \pi x^{\frac{11}{2}}} - \frac{19360 x^{7} \sqrt[4]{x + 1} \sin{\left(\frac{9 \operatorname{atan}{\left(\sqrt{x} \right)}}{2} \right)} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{3465 \pi x^{\frac{35}{2}} + 41580 \pi x^{\frac{33}{2}} + 228690 \pi x^{\frac{31}{2}} + 762300 \pi x^{\frac{29}{2}} + 1715175 \pi x^{\frac{27}{2}} + 2744280 \pi x^{\frac{25}{2}} + 3201660 \pi x^{\frac{23}{2}} + 2744280 \pi x^{\frac{21}{2}} + 1715175 \pi x^{\frac{19}{2}} + 762300 \pi x^{\frac{17}{2}} + 228690 \pi x^{\frac{15}{2}} + 41580 \pi x^{\frac{13}{2}} + 3465 \pi x^{\frac{11}{2}}} - \frac{2816 x^{6} \sqrt[4]{x + 1} \sin{\left(\frac{9 \operatorname{atan}{\left(\sqrt{x} \right)}}{2} \right)} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{3465 \pi x^{\frac{35}{2}} + 41580 \pi x^{\frac{33}{2}} + 228690 \pi x^{\frac{31}{2}} + 762300 \pi x^{\frac{29}{2}} + 1715175 \pi x^{\frac{27}{2}} + 2744280 \pi x^{\frac{25}{2}} + 3201660 \pi x^{\frac{23}{2}} + 2744280 \pi x^{\frac{21}{2}} + 1715175 \pi x^{\frac{19}{2}} + 762300 \pi x^{\frac{17}{2}} + 228690 \pi x^{\frac{15}{2}} + 41580 \pi x^{\frac{13}{2}} + 3465 \pi x^{\frac{11}{2}}} - \frac{4 \left(x + 1\right)^{\frac{5}{2}} \sqrt{\sqrt{x + 1} + 1}}{3 \left(x + 1\right)^{\frac{5}{2}} + 3 \left(x + 1\right)^{2}} + \frac{8 \left(x + 1\right)^{\frac{5}{2}}}{3 \left(x + 1\right)^{\frac{5}{2}} + 3 \left(x + 1\right)^{2}} + \frac{4 \left(x + 1\right)^{3} \sqrt{\sqrt{x + 1} + 1}}{3 \left(x + 1\right)^{\frac{5}{2}} + 3 \left(x + 1\right)^{2}} - \frac{8 \left(x + 1\right)^{2} \sqrt{\sqrt{x + 1} + 1}}{3 \left(x + 1\right)^{\frac{5}{2}} + 3 \left(x + 1\right)^{2}} + \frac{8 \left(x + 1\right)^{2}}{3 \left(x + 1\right)^{\frac{5}{2}} + 3 \left(x + 1\right)^{2}}"," ",0,"4900*x**(39/2)*(x + 1)**(3/4)*cos(11*atan(sqrt(x))/2)*gamma(1/4)*gamma(3/4)/(3465*pi*x**(35/2) + 41580*pi*x**(33/2) + 228690*pi*x**(31/2) + 762300*pi*x**(29/2) + 1715175*pi*x**(27/2) + 2744280*pi*x**(25/2) + 3201660*pi*x**(23/2) + 2744280*pi*x**(21/2) + 1715175*pi*x**(19/2) + 762300*pi*x**(17/2) + 228690*pi*x**(15/2) + 41580*pi*x**(13/2) + 3465*pi*x**(11/2)) + 45632*x**(37/2)*(x + 1)**(3/4)*cos(11*atan(sqrt(x))/2)*gamma(1/4)*gamma(3/4)/(3465*pi*x**(35/2) + 41580*pi*x**(33/2) + 228690*pi*x**(31/2) + 762300*pi*x**(29/2) + 1715175*pi*x**(27/2) + 2744280*pi*x**(25/2) + 3201660*pi*x**(23/2) + 2744280*pi*x**(21/2) + 1715175*pi*x**(19/2) + 762300*pi*x**(17/2) + 228690*pi*x**(15/2) + 41580*pi*x**(13/2) + 3465*pi*x**(11/2)) + 183352*x**(35/2)*(x + 1)**(3/4)*cos(11*atan(sqrt(x))/2)*gamma(1/4)*gamma(3/4)/(3465*pi*x**(35/2) + 41580*pi*x**(33/2) + 228690*pi*x**(31/2) + 762300*pi*x**(29/2) + 1715175*pi*x**(27/2) + 2744280*pi*x**(25/2) + 3201660*pi*x**(23/2) + 2744280*pi*x**(21/2) + 1715175*pi*x**(19/2) + 762300*pi*x**(17/2) + 228690*pi*x**(15/2) + 41580*pi*x**(13/2) + 3465*pi*x**(11/2)) + 512*x**(35/2)*gamma(1/4)*gamma(3/4)/(3465*pi*x**(35/2) + 41580*pi*x**(33/2) + 228690*pi*x**(31/2) + 762300*pi*x**(29/2) + 1715175*pi*x**(27/2) + 2744280*pi*x**(25/2) + 3201660*pi*x**(23/2) + 2744280*pi*x**(21/2) + 1715175*pi*x**(19/2) + 762300*pi*x**(17/2) + 228690*pi*x**(15/2) + 41580*pi*x**(13/2) + 3465*pi*x**(11/2)) + 406048*x**(33/2)*(x + 1)**(3/4)*cos(11*atan(sqrt(x))/2)*gamma(1/4)*gamma(3/4)/(3465*pi*x**(35/2) + 41580*pi*x**(33/2) + 228690*pi*x**(31/2) + 762300*pi*x**(29/2) + 1715175*pi*x**(27/2) + 2744280*pi*x**(25/2) + 3201660*pi*x**(23/2) + 2744280*pi*x**(21/2) + 1715175*pi*x**(19/2) + 762300*pi*x**(17/2) + 228690*pi*x**(15/2) + 41580*pi*x**(13/2) + 3465*pi*x**(11/2)) + 6144*x**(33/2)*gamma(1/4)*gamma(3/4)/(3465*pi*x**(35/2) + 41580*pi*x**(33/2) + 228690*pi*x**(31/2) + 762300*pi*x**(29/2) + 1715175*pi*x**(27/2) + 2744280*pi*x**(25/2) + 3201660*pi*x**(23/2) + 2744280*pi*x**(21/2) + 1715175*pi*x**(19/2) + 762300*pi*x**(17/2) + 228690*pi*x**(15/2) + 41580*pi*x**(13/2) + 3465*pi*x**(11/2)) + 511148*x**(31/2)*(x + 1)**(3/4)*cos(11*atan(sqrt(x))/2)*gamma(1/4)*gamma(3/4)/(3465*pi*x**(35/2) + 41580*pi*x**(33/2) + 228690*pi*x**(31/2) + 762300*pi*x**(29/2) + 1715175*pi*x**(27/2) + 2744280*pi*x**(25/2) + 3201660*pi*x**(23/2) + 2744280*pi*x**(21/2) + 1715175*pi*x**(19/2) + 762300*pi*x**(17/2) + 228690*pi*x**(15/2) + 41580*pi*x**(13/2) + 3465*pi*x**(11/2)) + 33792*x**(31/2)*gamma(1/4)*gamma(3/4)/(3465*pi*x**(35/2) + 41580*pi*x**(33/2) + 228690*pi*x**(31/2) + 762300*pi*x**(29/2) + 1715175*pi*x**(27/2) + 2744280*pi*x**(25/2) + 3201660*pi*x**(23/2) + 2744280*pi*x**(21/2) + 1715175*pi*x**(19/2) + 762300*pi*x**(17/2) + 228690*pi*x**(15/2) + 41580*pi*x**(13/2) + 3465*pi*x**(11/2)) + 299200*x**(29/2)*(x + 1)**(3/4)*cos(11*atan(sqrt(x))/2)*gamma(1/4)*gamma(3/4)/(3465*pi*x**(35/2) + 41580*pi*x**(33/2) + 228690*pi*x**(31/2) + 762300*pi*x**(29/2) + 1715175*pi*x**(27/2) + 2744280*pi*x**(25/2) + 3201660*pi*x**(23/2) + 2744280*pi*x**(21/2) + 1715175*pi*x**(19/2) + 762300*pi*x**(17/2) + 228690*pi*x**(15/2) + 41580*pi*x**(13/2) + 3465*pi*x**(11/2)) + 112640*x**(29/2)*gamma(1/4)*gamma(3/4)/(3465*pi*x**(35/2) + 41580*pi*x**(33/2) + 228690*pi*x**(31/2) + 762300*pi*x**(29/2) + 1715175*pi*x**(27/2) + 2744280*pi*x**(25/2) + 3201660*pi*x**(23/2) + 2744280*pi*x**(21/2) + 1715175*pi*x**(19/2) + 762300*pi*x**(17/2) + 228690*pi*x**(15/2) + 41580*pi*x**(13/2) + 3465*pi*x**(11/2)) - 56496*x**(27/2)*(x + 1)**(3/4)*cos(11*atan(sqrt(x))/2)*gamma(1/4)*gamma(3/4)/(3465*pi*x**(35/2) + 41580*pi*x**(33/2) + 228690*pi*x**(31/2) + 762300*pi*x**(29/2) + 1715175*pi*x**(27/2) + 2744280*pi*x**(25/2) + 3201660*pi*x**(23/2) + 2744280*pi*x**(21/2) + 1715175*pi*x**(19/2) + 762300*pi*x**(17/2) + 228690*pi*x**(15/2) + 41580*pi*x**(13/2) + 3465*pi*x**(11/2)) + 253440*x**(27/2)*gamma(1/4)*gamma(3/4)/(3465*pi*x**(35/2) + 41580*pi*x**(33/2) + 228690*pi*x**(31/2) + 762300*pi*x**(29/2) + 1715175*pi*x**(27/2) + 2744280*pi*x**(25/2) + 3201660*pi*x**(23/2) + 2744280*pi*x**(21/2) + 1715175*pi*x**(19/2) + 762300*pi*x**(17/2) + 228690*pi*x**(15/2) + 41580*pi*x**(13/2) + 3465*pi*x**(11/2)) - 154176*x**(25/2)*(x + 1)**(3/4)*cos(11*atan(sqrt(x))/2)*gamma(1/4)*gamma(3/4)/(3465*pi*x**(35/2) + 41580*pi*x**(33/2) + 228690*pi*x**(31/2) + 762300*pi*x**(29/2) + 1715175*pi*x**(27/2) + 2744280*pi*x**(25/2) + 3201660*pi*x**(23/2) + 2744280*pi*x**(21/2) + 1715175*pi*x**(19/2) + 762300*pi*x**(17/2) + 228690*pi*x**(15/2) + 41580*pi*x**(13/2) + 3465*pi*x**(11/2)) + 405504*x**(25/2)*gamma(1/4)*gamma(3/4)/(3465*pi*x**(35/2) + 41580*pi*x**(33/2) + 228690*pi*x**(31/2) + 762300*pi*x**(29/2) + 1715175*pi*x**(27/2) + 2744280*pi*x**(25/2) + 3201660*pi*x**(23/2) + 2744280*pi*x**(21/2) + 1715175*pi*x**(19/2) + 762300*pi*x**(17/2) + 228690*pi*x**(15/2) + 41580*pi*x**(13/2) + 3465*pi*x**(11/2)) + 61116*x**(23/2)*(x + 1)**(3/4)*cos(11*atan(sqrt(x))/2)*gamma(1/4)*gamma(3/4)/(3465*pi*x**(35/2) + 41580*pi*x**(33/2) + 228690*pi*x**(31/2) + 762300*pi*x**(29/2) + 1715175*pi*x**(27/2) + 2744280*pi*x**(25/2) + 3201660*pi*x**(23/2) + 2744280*pi*x**(21/2) + 1715175*pi*x**(19/2) + 762300*pi*x**(17/2) + 228690*pi*x**(15/2) + 41580*pi*x**(13/2) + 3465*pi*x**(11/2)) + 473088*x**(23/2)*gamma(1/4)*gamma(3/4)/(3465*pi*x**(35/2) + 41580*pi*x**(33/2) + 228690*pi*x**(31/2) + 762300*pi*x**(29/2) + 1715175*pi*x**(27/2) + 2744280*pi*x**(25/2) + 3201660*pi*x**(23/2) + 2744280*pi*x**(21/2) + 1715175*pi*x**(19/2) + 762300*pi*x**(17/2) + 228690*pi*x**(15/2) + 41580*pi*x**(13/2) + 3465*pi*x**(11/2)) + 252736*x**(21/2)*(x + 1)**(3/4)*cos(11*atan(sqrt(x))/2)*gamma(1/4)*gamma(3/4)/(3465*pi*x**(35/2) + 41580*pi*x**(33/2) + 228690*pi*x**(31/2) + 762300*pi*x**(29/2) + 1715175*pi*x**(27/2) + 2744280*pi*x**(25/2) + 3201660*pi*x**(23/2) + 2744280*pi*x**(21/2) + 1715175*pi*x**(19/2) + 762300*pi*x**(17/2) + 228690*pi*x**(15/2) + 41580*pi*x**(13/2) + 3465*pi*x**(11/2)) + 405504*x**(21/2)*gamma(1/4)*gamma(3/4)/(3465*pi*x**(35/2) + 41580*pi*x**(33/2) + 228690*pi*x**(31/2) + 762300*pi*x**(29/2) + 1715175*pi*x**(27/2) + 2744280*pi*x**(25/2) + 3201660*pi*x**(23/2) + 2744280*pi*x**(21/2) + 1715175*pi*x**(19/2) + 762300*pi*x**(17/2) + 228690*pi*x**(15/2) + 41580*pi*x**(13/2) + 3465*pi*x**(11/2)) + 222200*x**(19/2)*(x + 1)**(3/4)*cos(11*atan(sqrt(x))/2)*gamma(1/4)*gamma(3/4)/(3465*pi*x**(35/2) + 41580*pi*x**(33/2) + 228690*pi*x**(31/2) + 762300*pi*x**(29/2) + 1715175*pi*x**(27/2) + 2744280*pi*x**(25/2) + 3201660*pi*x**(23/2) + 2744280*pi*x**(21/2) + 1715175*pi*x**(19/2) + 762300*pi*x**(17/2) + 228690*pi*x**(15/2) + 41580*pi*x**(13/2) + 3465*pi*x**(11/2)) + 253440*x**(19/2)*gamma(1/4)*gamma(3/4)/(3465*pi*x**(35/2) + 41580*pi*x**(33/2) + 228690*pi*x**(31/2) + 762300*pi*x**(29/2) + 1715175*pi*x**(27/2) + 2744280*pi*x**(25/2) + 3201660*pi*x**(23/2) + 2744280*pi*x**(21/2) + 1715175*pi*x**(19/2) + 762300*pi*x**(17/2) + 228690*pi*x**(15/2) + 41580*pi*x**(13/2) + 3465*pi*x**(11/2)) + 93472*x**(17/2)*(x + 1)**(3/4)*cos(11*atan(sqrt(x))/2)*gamma(1/4)*gamma(3/4)/(3465*pi*x**(35/2) + 41580*pi*x**(33/2) + 228690*pi*x**(31/2) + 762300*pi*x**(29/2) + 1715175*pi*x**(27/2) + 2744280*pi*x**(25/2) + 3201660*pi*x**(23/2) + 2744280*pi*x**(21/2) + 1715175*pi*x**(19/2) + 762300*pi*x**(17/2) + 228690*pi*x**(15/2) + 41580*pi*x**(13/2) + 3465*pi*x**(11/2)) + 112640*x**(17/2)*gamma(1/4)*gamma(3/4)/(3465*pi*x**(35/2) + 41580*pi*x**(33/2) + 228690*pi*x**(31/2) + 762300*pi*x**(29/2) + 1715175*pi*x**(27/2) + 2744280*pi*x**(25/2) + 3201660*pi*x**(23/2) + 2744280*pi*x**(21/2) + 1715175*pi*x**(19/2) + 762300*pi*x**(17/2) + 228690*pi*x**(15/2) + 41580*pi*x**(13/2) + 3465*pi*x**(11/2)) + 16372*x**(15/2)*(x + 1)**(3/4)*cos(11*atan(sqrt(x))/2)*gamma(1/4)*gamma(3/4)/(3465*pi*x**(35/2) + 41580*pi*x**(33/2) + 228690*pi*x**(31/2) + 762300*pi*x**(29/2) + 1715175*pi*x**(27/2) + 2744280*pi*x**(25/2) + 3201660*pi*x**(23/2) + 2744280*pi*x**(21/2) + 1715175*pi*x**(19/2) + 762300*pi*x**(17/2) + 228690*pi*x**(15/2) + 41580*pi*x**(13/2) + 3465*pi*x**(11/2)) + 33792*x**(15/2)*gamma(1/4)*gamma(3/4)/(3465*pi*x**(35/2) + 41580*pi*x**(33/2) + 228690*pi*x**(31/2) + 762300*pi*x**(29/2) + 1715175*pi*x**(27/2) + 2744280*pi*x**(25/2) + 3201660*pi*x**(23/2) + 2744280*pi*x**(21/2) + 1715175*pi*x**(19/2) + 762300*pi*x**(17/2) + 228690*pi*x**(15/2) + 41580*pi*x**(13/2) + 3465*pi*x**(11/2)) - 832*x**(13/2)*(x + 1)**(3/4)*cos(11*atan(sqrt(x))/2)*gamma(1/4)*gamma(3/4)/(3465*pi*x**(35/2) + 41580*pi*x**(33/2) + 228690*pi*x**(31/2) + 762300*pi*x**(29/2) + 1715175*pi*x**(27/2) + 2744280*pi*x**(25/2) + 3201660*pi*x**(23/2) + 2744280*pi*x**(21/2) + 1715175*pi*x**(19/2) + 762300*pi*x**(17/2) + 228690*pi*x**(15/2) + 41580*pi*x**(13/2) + 3465*pi*x**(11/2)) + 6144*x**(13/2)*gamma(1/4)*gamma(3/4)/(3465*pi*x**(35/2) + 41580*pi*x**(33/2) + 228690*pi*x**(31/2) + 762300*pi*x**(29/2) + 1715175*pi*x**(27/2) + 2744280*pi*x**(25/2) + 3201660*pi*x**(23/2) + 2744280*pi*x**(21/2) + 1715175*pi*x**(19/2) + 762300*pi*x**(17/2) + 228690*pi*x**(15/2) + 41580*pi*x**(13/2) + 3465*pi*x**(11/2)) - 512*x**(11/2)*(x + 1)**(3/4)*cos(11*atan(sqrt(x))/2)*gamma(1/4)*gamma(3/4)/(3465*pi*x**(35/2) + 41580*pi*x**(33/2) + 228690*pi*x**(31/2) + 762300*pi*x**(29/2) + 1715175*pi*x**(27/2) + 2744280*pi*x**(25/2) + 3201660*pi*x**(23/2) + 2744280*pi*x**(21/2) + 1715175*pi*x**(19/2) + 762300*pi*x**(17/2) + 228690*pi*x**(15/2) + 41580*pi*x**(13/2) + 3465*pi*x**(11/2)) + 512*x**(11/2)*gamma(1/4)*gamma(3/4)/(3465*pi*x**(35/2) + 41580*pi*x**(33/2) + 228690*pi*x**(31/2) + 762300*pi*x**(29/2) + 1715175*pi*x**(27/2) + 2744280*pi*x**(25/2) + 3201660*pi*x**(23/2) + 2744280*pi*x**(21/2) + 1715175*pi*x**(19/2) + 762300*pi*x**(17/2) + 228690*pi*x**(15/2) + 41580*pi*x**(13/2) + 3465*pi*x**(11/2)) + 6160*x**20*(x + 1)**(1/4)*sin(9*atan(sqrt(x))/2)*gamma(1/4)*gamma(3/4)/(3465*pi*x**(35/2) + 41580*pi*x**(33/2) + 228690*pi*x**(31/2) + 762300*pi*x**(29/2) + 1715175*pi*x**(27/2) + 2744280*pi*x**(25/2) + 3201660*pi*x**(23/2) + 2744280*pi*x**(21/2) + 1715175*pi*x**(19/2) + 762300*pi*x**(17/2) + 228690*pi*x**(15/2) + 41580*pi*x**(13/2) + 3465*pi*x**(11/2)) + 51392*x**19*(x + 1)**(1/4)*sin(9*atan(sqrt(x))/2)*gamma(1/4)*gamma(3/4)/(3465*pi*x**(35/2) + 41580*pi*x**(33/2) + 228690*pi*x**(31/2) + 762300*pi*x**(29/2) + 1715175*pi*x**(27/2) + 2744280*pi*x**(25/2) + 3201660*pi*x**(23/2) + 2744280*pi*x**(21/2) + 1715175*pi*x**(19/2) + 762300*pi*x**(17/2) + 228690*pi*x**(15/2) + 41580*pi*x**(13/2) + 3465*pi*x**(11/2)) + 170368*x**18*(x + 1)**(1/4)*sin(9*atan(sqrt(x))/2)*gamma(1/4)*gamma(3/4)/(3465*pi*x**(35/2) + 41580*pi*x**(33/2) + 228690*pi*x**(31/2) + 762300*pi*x**(29/2) + 1715175*pi*x**(27/2) + 2744280*pi*x**(25/2) + 3201660*pi*x**(23/2) + 2744280*pi*x**(21/2) + 1715175*pi*x**(19/2) + 762300*pi*x**(17/2) + 228690*pi*x**(15/2) + 41580*pi*x**(13/2) + 3465*pi*x**(11/2)) + 241120*x**17*(x + 1)**(1/4)*sin(9*atan(sqrt(x))/2)*gamma(1/4)*gamma(3/4)/(3465*pi*x**(35/2) + 41580*pi*x**(33/2) + 228690*pi*x**(31/2) + 762300*pi*x**(29/2) + 1715175*pi*x**(27/2) + 2744280*pi*x**(25/2) + 3201660*pi*x**(23/2) + 2744280*pi*x**(21/2) + 1715175*pi*x**(19/2) + 762300*pi*x**(17/2) + 228690*pi*x**(15/2) + 41580*pi*x**(13/2) + 3465*pi*x**(11/2)) - 60016*x**16*(x + 1)**(1/4)*sin(9*atan(sqrt(x))/2)*gamma(1/4)*gamma(3/4)/(3465*pi*x**(35/2) + 41580*pi*x**(33/2) + 228690*pi*x**(31/2) + 762300*pi*x**(29/2) + 1715175*pi*x**(27/2) + 2744280*pi*x**(25/2) + 3201660*pi*x**(23/2) + 2744280*pi*x**(21/2) + 1715175*pi*x**(19/2) + 762300*pi*x**(17/2) + 228690*pi*x**(15/2) + 41580*pi*x**(13/2) + 3465*pi*x**(11/2)) - 793760*x**15*(x + 1)**(1/4)*sin(9*atan(sqrt(x))/2)*gamma(1/4)*gamma(3/4)/(3465*pi*x**(35/2) + 41580*pi*x**(33/2) + 228690*pi*x**(31/2) + 762300*pi*x**(29/2) + 1715175*pi*x**(27/2) + 2744280*pi*x**(25/2) + 3201660*pi*x**(23/2) + 2744280*pi*x**(21/2) + 1715175*pi*x**(19/2) + 762300*pi*x**(17/2) + 228690*pi*x**(15/2) + 41580*pi*x**(13/2) + 3465*pi*x**(11/2)) - 1347456*x**14*(x + 1)**(1/4)*sin(9*atan(sqrt(x))/2)*gamma(1/4)*gamma(3/4)/(3465*pi*x**(35/2) + 41580*pi*x**(33/2) + 228690*pi*x**(31/2) + 762300*pi*x**(29/2) + 1715175*pi*x**(27/2) + 2744280*pi*x**(25/2) + 3201660*pi*x**(23/2) + 2744280*pi*x**(21/2) + 1715175*pi*x**(19/2) + 762300*pi*x**(17/2) + 228690*pi*x**(15/2) + 41580*pi*x**(13/2) + 3465*pi*x**(11/2)) - 1091904*x**13*(x + 1)**(1/4)*sin(9*atan(sqrt(x))/2)*gamma(1/4)*gamma(3/4)/(3465*pi*x**(35/2) + 41580*pi*x**(33/2) + 228690*pi*x**(31/2) + 762300*pi*x**(29/2) + 1715175*pi*x**(27/2) + 2744280*pi*x**(25/2) + 3201660*pi*x**(23/2) + 2744280*pi*x**(21/2) + 1715175*pi*x**(19/2) + 762300*pi*x**(17/2) + 228690*pi*x**(15/2) + 41580*pi*x**(13/2) + 3465*pi*x**(11/2)) - 319440*x**12*(x + 1)**(1/4)*sin(9*atan(sqrt(x))/2)*gamma(1/4)*gamma(3/4)/(3465*pi*x**(35/2) + 41580*pi*x**(33/2) + 228690*pi*x**(31/2) + 762300*pi*x**(29/2) + 1715175*pi*x**(27/2) + 2744280*pi*x**(25/2) + 3201660*pi*x**(23/2) + 2744280*pi*x**(21/2) + 1715175*pi*x**(19/2) + 762300*pi*x**(17/2) + 228690*pi*x**(15/2) + 41580*pi*x**(13/2) + 3465*pi*x**(11/2)) + 170368*x**11*(x + 1)**(1/4)*sin(9*atan(sqrt(x))/2)*gamma(1/4)*gamma(3/4)/(3465*pi*x**(35/2) + 41580*pi*x**(33/2) + 228690*pi*x**(31/2) + 762300*pi*x**(29/2) + 1715175*pi*x**(27/2) + 2744280*pi*x**(25/2) + 3201660*pi*x**(23/2) + 2744280*pi*x**(21/2) + 1715175*pi*x**(19/2) + 762300*pi*x**(17/2) + 228690*pi*x**(15/2) + 41580*pi*x**(13/2) + 3465*pi*x**(11/2)) + 154880*x**10*(x + 1)**(1/4)*sin(9*atan(sqrt(x))/2)*gamma(1/4)*gamma(3/4)/(3465*pi*x**(35/2) + 41580*pi*x**(33/2) + 228690*pi*x**(31/2) + 762300*pi*x**(29/2) + 1715175*pi*x**(27/2) + 2744280*pi*x**(25/2) + 3201660*pi*x**(23/2) + 2744280*pi*x**(21/2) + 1715175*pi*x**(19/2) + 762300*pi*x**(17/2) + 228690*pi*x**(15/2) + 41580*pi*x**(13/2) + 3465*pi*x**(11/2)) + 352*x**9*(x + 1)**(1/4)*sin(9*atan(sqrt(x))/2)*gamma(1/4)*gamma(3/4)/(3465*pi*x**(35/2) + 41580*pi*x**(33/2) + 228690*pi*x**(31/2) + 762300*pi*x**(29/2) + 1715175*pi*x**(27/2) + 2744280*pi*x**(25/2) + 3201660*pi*x**(23/2) + 2744280*pi*x**(21/2) + 1715175*pi*x**(19/2) + 762300*pi*x**(17/2) + 228690*pi*x**(15/2) + 41580*pi*x**(13/2) + 3465*pi*x**(11/2)) - 43472*x**8*(x + 1)**(1/4)*sin(9*atan(sqrt(x))/2)*gamma(1/4)*gamma(3/4)/(3465*pi*x**(35/2) + 41580*pi*x**(33/2) + 228690*pi*x**(31/2) + 762300*pi*x**(29/2) + 1715175*pi*x**(27/2) + 2744280*pi*x**(25/2) + 3201660*pi*x**(23/2) + 2744280*pi*x**(21/2) + 1715175*pi*x**(19/2) + 762300*pi*x**(17/2) + 228690*pi*x**(15/2) + 41580*pi*x**(13/2) + 3465*pi*x**(11/2)) - 19360*x**7*(x + 1)**(1/4)*sin(9*atan(sqrt(x))/2)*gamma(1/4)*gamma(3/4)/(3465*pi*x**(35/2) + 41580*pi*x**(33/2) + 228690*pi*x**(31/2) + 762300*pi*x**(29/2) + 1715175*pi*x**(27/2) + 2744280*pi*x**(25/2) + 3201660*pi*x**(23/2) + 2744280*pi*x**(21/2) + 1715175*pi*x**(19/2) + 762300*pi*x**(17/2) + 228690*pi*x**(15/2) + 41580*pi*x**(13/2) + 3465*pi*x**(11/2)) - 2816*x**6*(x + 1)**(1/4)*sin(9*atan(sqrt(x))/2)*gamma(1/4)*gamma(3/4)/(3465*pi*x**(35/2) + 41580*pi*x**(33/2) + 228690*pi*x**(31/2) + 762300*pi*x**(29/2) + 1715175*pi*x**(27/2) + 2744280*pi*x**(25/2) + 3201660*pi*x**(23/2) + 2744280*pi*x**(21/2) + 1715175*pi*x**(19/2) + 762300*pi*x**(17/2) + 228690*pi*x**(15/2) + 41580*pi*x**(13/2) + 3465*pi*x**(11/2)) - 4*(x + 1)**(5/2)*sqrt(sqrt(x + 1) + 1)/(3*(x + 1)**(5/2) + 3*(x + 1)**2) + 8*(x + 1)**(5/2)/(3*(x + 1)**(5/2) + 3*(x + 1)**2) + 4*(x + 1)**3*sqrt(sqrt(x + 1) + 1)/(3*(x + 1)**(5/2) + 3*(x + 1)**2) - 8*(x + 1)**2*sqrt(sqrt(x + 1) + 1)/(3*(x + 1)**(5/2) + 3*(x + 1)**2) + 8*(x + 1)**2/(3*(x + 1)**(5/2) + 3*(x + 1)**2)","B",0
822,0,0,0,0.000000," ","integrate((-1+2*x)/(1+x)/(-a**2*x**2+(1+x)**6)**(1/2),x)","\int \frac{2 x - 1}{\sqrt{\left(- a x + x^{3} + 3 x^{2} + 3 x + 1\right) \left(a x + x^{3} + 3 x^{2} + 3 x + 1\right)} \left(x + 1\right)}\, dx"," ",0,"Integral((2*x - 1)/(sqrt((-a*x + x**3 + 3*x**2 + 3*x + 1)*(a*x + x**3 + 3*x**2 + 3*x + 1))*(x + 1)), x)","F",0
823,0,0,0,0.000000," ","integrate(x/(a**2*x**2-b)**(1/2)/(a*x+(a**2*x**2-b)**(1/2))**(1/4),x)","\int \frac{x}{\sqrt[4]{a x + \sqrt{a^{2} x^{2} - b}} \sqrt{a^{2} x^{2} - b}}\, dx"," ",0,"Integral(x/((a*x + sqrt(a**2*x**2 - b))**(1/4)*sqrt(a**2*x**2 - b)), x)","F",0
824,0,0,0,0.000000," ","integrate((a*x+(a**2*x**2+b**2)**(1/2))**(1/2),x)","\int \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}\, dx"," ",0,"Integral(sqrt(a*x + sqrt(a**2*x**2 + b**2)), x)","F",0
825,0,0,0,0.000000," ","integrate(1/(1+x**(1/2))/(-x**(1/2)+x)**(1/2),x)","\int \frac{1}{\sqrt{- \sqrt{x} + x} \left(\sqrt{x} + 1\right)}\, dx"," ",0,"Integral(1/(sqrt(-sqrt(x) + x)*(sqrt(x) + 1)), x)","F",0
826,0,0,0,0.000000," ","integrate(x/(x**2-1)/(x**3+x**2+x)**(1/2),x)","\int \frac{x}{\sqrt{x \left(x^{2} + x + 1\right)} \left(x - 1\right) \left(x + 1\right)}\, dx"," ",0,"Integral(x/(sqrt(x*(x**2 + x + 1))*(x - 1)*(x + 1)), x)","F",0
827,-1,0,0,0.000000," ","integrate((-a*b*c+2*a*(b+c)*x-(3*a+b+c)*x**2+2*x**3)/(x*(-a+x)*(-b+x)*(-c+x))**(1/2)/(a*d+(b*c-d)*x-(b+c)*x**2+x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
828,1,66,0,37.514388," ","integrate((a*x**3+3*b)/x/(a*x**3-b)/(a*x**3+b)**(1/2),x)","- \frac{2 \operatorname{atan}{\left(\frac{\sqrt{a x^{3} + b}}{\sqrt{- b}} \right)}}{\sqrt{- b}} + \frac{4 \sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} \sqrt{a x^{3} + b}}{2 \sqrt{- b}} \right)}}{3 \sqrt{- b}}"," ",0,"-2*atan(sqrt(a*x**3 + b)/sqrt(-b))/sqrt(-b) + 4*sqrt(2)*atan(sqrt(2)*sqrt(a*x**3 + b)/(2*sqrt(-b)))/(3*sqrt(-b))","A",0
829,-1,0,0,0.000000," ","integrate((-a*x**3+2*c)*(a*x**3+b*x**2+c)**(1/2)/(c+(-3+b)*x**2+a*x**3)/(c+(-2+b)*x**2+a*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
830,-1,0,0,0.000000," ","integrate((-a*b*c+2*a*(b+c)*x-(3*a+b+c)*x**2+2*x**3)/(x*(-a+x)*(-b+x)*(-c+x))**(1/2)/(a+(b*c*d-1)*x-(b+c)*d*x**2+d*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
831,0,0,0,0.000000," ","integrate((x**3-1)/(x**3+1)/(x**4+1)**(1/2),x)","\int \frac{\left(x - 1\right) \left(x^{2} + x + 1\right)}{\left(x + 1\right) \sqrt{x^{4} + 1} \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral((x - 1)*(x**2 + x + 1)/((x + 1)*sqrt(x**4 + 1)*(x**2 - x + 1)), x)","F",0
832,0,0,0,0.000000," ","integrate(x**4*(x**4-x)**(1/4),x)","\int x^{4} \sqrt[4]{x \left(x - 1\right) \left(x^{2} + x + 1\right)}\, dx"," ",0,"Integral(x**4*(x*(x - 1)*(x**2 + x + 1))**(1/4), x)","F",0
833,0,0,0,0.000000," ","integrate((x**4-x**3)**(1/4),x)","\int \sqrt[4]{x^{4} - x^{3}}\, dx"," ",0,"Integral((x**4 - x**3)**(1/4), x)","F",0
834,-1,0,0,0.000000," ","integrate((-x**4-x**3+2)**(1/2)*(2*x**4+x**3+4)/(x**4+x**3-3*x**2-2)/(x**4+x**3-x**2-2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
835,0,0,0,0.000000," ","integrate((a*x**4+b*x**3)**(1/4)/x/(a*x+x**2+b),x)","\int \frac{\sqrt[4]{x^{3} \left(a x + b\right)}}{x \left(a x + b + x^{2}\right)}\, dx"," ",0,"Integral((x**3*(a*x + b))**(1/4)/(x*(a*x + b + x**2)), x)","F",0
836,0,0,0,0.000000," ","integrate((a*x**4+b*x**3)**(1/4)/x/(a*x+x**2+b),x)","\int \frac{\sqrt[4]{x^{3} \left(a x + b\right)}}{x \left(a x + b + x^{2}\right)}\, dx"," ",0,"Integral((x**3*(a*x + b))**(1/4)/(x*(a*x + b + x**2)), x)","F",0
837,0,0,0,0.000000," ","integrate(x**2*(x**6-4)/(x**6-1)**(1/2)/(x**6+2),x)","\int \frac{x^{2} \left(x^{3} - 2\right) \left(x^{3} + 2\right)}{\sqrt{\left(x - 1\right) \left(x + 1\right) \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)} \left(x^{6} + 2\right)}\, dx"," ",0,"Integral(x**2*(x**3 - 2)*(x**3 + 2)/(sqrt((x - 1)*(x + 1)*(x**2 - x + 1)*(x**2 + x + 1))*(x**6 + 2)), x)","F",0
838,0,0,0,0.000000," ","integrate((x**5-1)*(x**5+x**3-1)*(2*x**5+3)/x**6/(x**5-x**3-1)/(x**6-x)**(1/4),x)","\int \frac{\left(x - 1\right) \left(2 x^{5} + 3\right) \left(x^{5} + x^{3} - 1\right) \left(x^{4} + x^{3} + x^{2} + x + 1\right)}{x^{6} \sqrt[4]{x \left(x - 1\right) \left(x^{4} + x^{3} + x^{2} + x + 1\right)} \left(x^{5} - x^{3} - 1\right)}\, dx"," ",0,"Integral((x - 1)*(2*x**5 + 3)*(x**5 + x**3 - 1)*(x**4 + x**3 + x**2 + x + 1)/(x**6*(x*(x - 1)*(x**4 + x**3 + x**2 + x + 1))**(1/4)*(x**5 - x**3 - 1)), x)","F",0
839,1,148,0,135.610627," ","integrate((x**3+1)**(1/2)*(x**6+2*x**3+2)/x**7/(x**6-1),x)","\frac{10 \left(\begin{cases} - \frac{\sqrt{2} \operatorname{acoth}{\left(\frac{\sqrt{2} \sqrt{x^{3} + 1}}{2} \right)}}{2} & \text{for}\: x^{3} + 1 > 2 \\- \frac{\sqrt{2} \operatorname{atanh}{\left(\frac{\sqrt{2} \sqrt{x^{3} + 1}}{2} \right)}}{2} & \text{for}\: x^{3} + 1 < 2 \end{cases}\right)}{3} - \frac{5 \log{\left(\sqrt{x^{3} + 1} - 1 \right)}}{4} + \frac{5 \log{\left(\sqrt{x^{3} + 1} + 1 \right)}}{4} + \frac{5}{12 \left(\sqrt{x^{3} + 1} + 1\right)} - \frac{1}{12 \left(\sqrt{x^{3} + 1} + 1\right)^{2}} + \frac{5}{12 \left(\sqrt{x^{3} + 1} - 1\right)} + \frac{1}{12 \left(\sqrt{x^{3} + 1} - 1\right)^{2}}"," ",0,"10*Piecewise((-sqrt(2)*acoth(sqrt(2)*sqrt(x**3 + 1)/2)/2, x**3 + 1 > 2), (-sqrt(2)*atanh(sqrt(2)*sqrt(x**3 + 1)/2)/2, x**3 + 1 < 2))/3 - 5*log(sqrt(x**3 + 1) - 1)/4 + 5*log(sqrt(x**3 + 1) + 1)/4 + 5/(12*(sqrt(x**3 + 1) + 1)) - 1/(12*(sqrt(x**3 + 1) + 1)**2) + 5/(12*(sqrt(x**3 + 1) - 1)) + 1/(12*(sqrt(x**3 + 1) - 1)**2)","A",0
840,0,0,0,0.000000," ","integrate((x**5+x**2-1)**(1/2)*(3*x**5+2)/(x**10-2*x**5+x**4+1),x)","\int \frac{\left(3 x^{5} + 2\right) \sqrt{x^{5} + x^{2} - 1}}{x^{10} - 2 x^{5} + x^{4} + 1}\, dx"," ",0,"Integral((3*x**5 + 2)*sqrt(x**5 + x**2 - 1)/(x**10 - 2*x**5 + x**4 + 1), x)","F",0
841,0,0,0,0.000000," ","integrate(1/x/(x**2+x)**(1/2)/(x**2+x*(x**2+x)**(1/2))**(1/2),x)","\int \frac{1}{x \sqrt{x \left(x + 1\right)} \sqrt{x \left(x + \sqrt{x^{2} + x}\right)}}\, dx"," ",0,"Integral(1/(x*sqrt(x*(x + 1))*sqrt(x*(x + sqrt(x**2 + x)))), x)","F",0
842,1,286,0,1.178700," ","integrate((b+(a*x**2+b**2)**(1/2))**(1/2),x)","- \frac{\sqrt{2} a \sqrt{b} x^{3} \Gamma\left(- \frac{1}{4}\right) \Gamma\left(\frac{1}{4}\right)}{12 \pi b^{2} \sqrt{\frac{a x^{2}}{b^{2}} + 1} \sqrt{\sqrt{\frac{a x^{2}}{b^{2}} + 1} + 1} + 12 \pi b^{2} \sqrt{\sqrt{\frac{a x^{2}}{b^{2}} + 1} + 1}} - \frac{3 \sqrt{2} b^{\frac{5}{2}} x \sqrt{\frac{a x^{2}}{b^{2}} + 1} \Gamma\left(- \frac{1}{4}\right) \Gamma\left(\frac{1}{4}\right)}{12 \pi b^{2} \sqrt{\frac{a x^{2}}{b^{2}} + 1} \sqrt{\sqrt{\frac{a x^{2}}{b^{2}} + 1} + 1} + 12 \pi b^{2} \sqrt{\sqrt{\frac{a x^{2}}{b^{2}} + 1} + 1}} - \frac{3 \sqrt{2} b^{\frac{5}{2}} x \Gamma\left(- \frac{1}{4}\right) \Gamma\left(\frac{1}{4}\right)}{12 \pi b^{2} \sqrt{\frac{a x^{2}}{b^{2}} + 1} \sqrt{\sqrt{\frac{a x^{2}}{b^{2}} + 1} + 1} + 12 \pi b^{2} \sqrt{\sqrt{\frac{a x^{2}}{b^{2}} + 1} + 1}}"," ",0,"-sqrt(2)*a*sqrt(b)*x**3*gamma(-1/4)*gamma(1/4)/(12*pi*b**2*sqrt(a*x**2/b**2 + 1)*sqrt(sqrt(a*x**2/b**2 + 1) + 1) + 12*pi*b**2*sqrt(sqrt(a*x**2/b**2 + 1) + 1)) - 3*sqrt(2)*b**(5/2)*x*sqrt(a*x**2/b**2 + 1)*gamma(-1/4)*gamma(1/4)/(12*pi*b**2*sqrt(a*x**2/b**2 + 1)*sqrt(sqrt(a*x**2/b**2 + 1) + 1) + 12*pi*b**2*sqrt(sqrt(a*x**2/b**2 + 1) + 1)) - 3*sqrt(2)*b**(5/2)*x*gamma(-1/4)*gamma(1/4)/(12*pi*b**2*sqrt(a*x**2/b**2 + 1)*sqrt(sqrt(a*x**2/b**2 + 1) + 1) + 12*pi*b**2*sqrt(sqrt(a*x**2/b**2 + 1) + 1))","B",0
843,0,0,0,0.000000," ","integrate((1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(x**2+1)**(1/2)/(x+(x**2+1)**(1/2))**(1/2),x)","\int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{\sqrt{x + \sqrt{x^{2} + 1}} \sqrt{x^{2} + 1}}\, dx"," ",0,"Integral(sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/(sqrt(x + sqrt(x**2 + 1))*sqrt(x**2 + 1)), x)","F",0
844,0,0,0,0.000000," ","integrate((a*x-b)/(a*x+b)/(a**2*x**3+b**2*x)**(1/2),x)","\int \frac{a x - b}{\sqrt{x \left(a^{2} x^{2} + b^{2}\right)} \left(a x + b\right)}\, dx"," ",0,"Integral((a*x - b)/(sqrt(x*(a**2*x**2 + b**2))*(a*x + b)), x)","F",0
845,0,0,0,0.000000," ","integrate((a*x+b)/(a*x-b)/(a**2*x**3+b**2*x)**(1/2),x)","\int \frac{a x + b}{\sqrt{x \left(a^{2} x^{2} + b^{2}\right)} \left(a x - b\right)}\, dx"," ",0,"Integral((a*x + b)/(sqrt(x*(a**2*x**2 + b**2))*(a*x - b)), x)","F",0
846,0,0,0,0.000000," ","integrate((a*x**3-b*x**2)/(a*x**3+b*x**2)/(a**2*x**3+b**2*x)**(1/2),x)","\int \frac{a x - b}{\sqrt{x \left(a^{2} x^{2} + b^{2}\right)} \left(a x + b\right)}\, dx"," ",0,"Integral((a*x - b)/(sqrt(x*(a**2*x**2 + b**2))*(a*x + b)), x)","F",0
847,0,0,0,0.000000," ","integrate((2+5*x)/(x**4+2*x**3+5*x**2+20*x-12)**(1/2),x)","\int \frac{5 x + 2}{\sqrt{\left(x + 3\right) \left(x^{3} - x^{2} + 8 x - 4\right)}}\, dx"," ",0,"Integral((5*x + 2)/sqrt((x + 3)*(x**3 - x**2 + 8*x - 4)), x)","F",0
848,1,151,0,5.616483," ","integrate((x**3-1)*(x**6-1)**(1/2)/x**7,x)","- \begin{cases} \frac{i \operatorname{acosh}{\left(\frac{1}{x^{3}} \right)}}{6} + \frac{i}{6 x^{3} \sqrt{-1 + \frac{1}{x^{6}}}} - \frac{i}{6 x^{9} \sqrt{-1 + \frac{1}{x^{6}}}} & \text{for}\: \frac{1}{\left|{x^{6}}\right|} > 1 \\- \frac{\operatorname{asin}{\left(\frac{1}{x^{3}} \right)}}{6} - \frac{\sqrt{1 - \frac{1}{x^{6}}}}{6 x^{3}} & \text{otherwise} \end{cases} + \begin{cases} - \frac{x^{3}}{3 \sqrt{x^{6} - 1}} + \frac{\operatorname{acosh}{\left(x^{3} \right)}}{3} + \frac{1}{3 x^{3} \sqrt{x^{6} - 1}} & \text{for}\: \left|{x^{6}}\right| > 1 \\\frac{i x^{3}}{3 \sqrt{1 - x^{6}}} - \frac{i \operatorname{asin}{\left(x^{3} \right)}}{3} - \frac{i}{3 x^{3} \sqrt{1 - x^{6}}} & \text{otherwise} \end{cases}"," ",0,"-Piecewise((I*acosh(x**(-3))/6 + I/(6*x**3*sqrt(-1 + x**(-6))) - I/(6*x**9*sqrt(-1 + x**(-6))), 1/Abs(x**6) > 1), (-asin(x**(-3))/6 - sqrt(1 - 1/x**6)/(6*x**3), True)) + Piecewise((-x**3/(3*sqrt(x**6 - 1)) + acosh(x**3)/3 + 1/(3*x**3*sqrt(x**6 - 1)), Abs(x**6) > 1), (I*x**3/(3*sqrt(1 - x**6)) - I*asin(x**3)/3 - I/(3*x**3*sqrt(1 - x**6)), True))","C",0
849,1,60,0,50.595353," ","integrate((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} \operatorname{atan}{\left(\frac{2 \sqrt{3} \sqrt{x^{6} - 1}}{3} \right)}}{6} - \frac{\operatorname{atan}{\left(\sqrt{x^{6} - 1} \right)}}{6} + \frac{\sqrt{x^{6} - 1}}{6 x^{6}}"," ",0,"sqrt(x**6 - 1)/3 - sqrt(3)*atan(2*sqrt(3)*sqrt(x**6 - 1)/3)/6 - atan(sqrt(x**6 - 1))/6 + sqrt(x**6 - 1)/(6*x**6)","A",0
850,0,0,0,0.000000," ","integrate((x**4-2)/(x**4+1)**(1/4)/(2*x**8+x**4-1),x)","\int \frac{x^{4} - 2}{\left(x^{4} + 1\right)^{\frac{5}{4}} \left(2 x^{4} - 1\right)}\, dx"," ",0,"Integral((x**4 - 2)/((x**4 + 1)**(5/4)*(2*x**4 - 1)), x)","F",0
851,0,0,0,0.000000," ","integrate((10*x**8-x**2)/(x**6-1)**(1/2)/(4*x**6-1),x)","\int \frac{x^{2} \left(10 x^{6} - 1\right)}{\sqrt{\left(x - 1\right) \left(x + 1\right) \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)} \left(2 x^{3} - 1\right) \left(2 x^{3} + 1\right)}\, dx"," ",0,"Integral(x**2*(10*x**6 - 1)/(sqrt((x - 1)*(x + 1)*(x**2 - x + 1)*(x**2 + x + 1))*(2*x**3 - 1)*(2*x**3 + 1)), x)","F",0
852,0,0,0,0.000000," ","integrate((x**2+1)/(x**2-1)/(2*x**2+1)**(3/2),x)","\int \frac{x^{2} + 1}{\left(x - 1\right) \left(x + 1\right) \left(2 x^{2} + 1\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((x**2 + 1)/((x - 1)*(x + 1)*(2*x**2 + 1)**(3/2)), x)","F",0
853,1,46,0,1.061215," ","integrate((a*x**2+b)**(3/4)/x,x)","- \frac{a^{\frac{3}{4}} x^{\frac{3}{2}} \Gamma\left(- \frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, - \frac{3}{4} \\ \frac{1}{4} \end{matrix}\middle| {\frac{b e^{i \pi}}{a x^{2}}} \right)}}{2 \Gamma\left(\frac{1}{4}\right)}"," ",0,"-a**(3/4)*x**(3/2)*gamma(-3/4)*hyper((-3/4, -3/4), (1/4,), b*exp_polar(I*pi)/(a*x**2))/(2*gamma(1/4))","C",0
854,0,0,0,0.000000," ","integrate((x**2-x+1)/(x**2-1)/(x**3+x)**(1/2),x)","\int \frac{x^{2} - x + 1}{\sqrt{x \left(x^{2} + 1\right)} \left(x - 1\right) \left(x + 1\right)}\, dx"," ",0,"Integral((x**2 - x + 1)/(sqrt(x*(x**2 + 1))*(x - 1)*(x + 1)), x)","F",0
855,0,0,0,0.000000," ","integrate((2*x**2-1)/(x**2+1)/(x**4-x**2-1)**(1/2),x)","\int \frac{2 x^{2} - 1}{\left(x^{2} + 1\right) \sqrt{x^{4} - x^{2} - 1}}\, dx"," ",0,"Integral((2*x**2 - 1)/((x**2 + 1)*sqrt(x**4 - x**2 - 1)), x)","F",0
856,0,0,0,0.000000," ","integrate(1/(a*x**4-2*b)/(a*x**4+b*x**2)**(1/4),x)","\int \frac{1}{\sqrt[4]{x^{2} \left(a x^{2} + b\right)} \left(a x^{4} - 2 b\right)}\, dx"," ",0,"Integral(1/((x**2*(a*x**2 + b))**(1/4)*(a*x**4 - 2*b)), x)","F",0
857,0,0,0,0.000000," ","integrate(1/(a*x**4-2*b)/(a*x**4+b*x**2)**(1/4),x)","\int \frac{1}{\sqrt[4]{x^{2} \left(a x^{2} + b\right)} \left(a x^{4} - 2 b\right)}\, dx"," ",0,"Integral(1/((x**2*(a*x**2 + b))**(1/4)*(a*x**4 - 2*b)), x)","F",0
858,0,0,0,0.000000," ","integrate((c*x**2-2*b)/(c*x**2-b)/(a*x**4+c*x**2-b)**(1/4),x)","\int \frac{- 2 b + c x^{2}}{\left(- b + c x^{2}\right) \sqrt[4]{a x^{4} - b + c x^{2}}}\, dx"," ",0,"Integral((-2*b + c*x**2)/((-b + c*x**2)*(a*x**4 - b + c*x**2)**(1/4)), x)","F",0
859,0,0,0,0.000000," ","integrate((a*x**3-4*b)/(a*x**3-b)/(c*x**4-a*x**3+b)**(1/4),x)","\int \frac{a x^{3} - 4 b}{\left(a x^{3} - b\right) \sqrt[4]{- a x^{3} + b + c x^{4}}}\, dx"," ",0,"Integral((a*x**3 - 4*b)/((a*x**3 - b)*(-a*x**3 + b + c*x**4)**(1/4)), x)","F",0
860,0,0,0,0.000000," ","integrate((a*x**6-b)/(a*x**6+b)/(a*x**6+a**3*x**3-b)**(1/3),x)","\int \frac{a x^{6} - b}{\left(a x^{6} + b\right) \sqrt[3]{a^{3} x^{3} + a x^{6} - b}}\, dx"," ",0,"Integral((a*x**6 - b)/((a*x**6 + b)*(a**3*x**3 + a*x**6 - b)**(1/3)), x)","F",0
861,0,0,0,0.000000," ","integrate((a*x**6-b)/(a*x**6+b)/(a*x**6+a**3*x**3-b)**(1/3),x)","\int \frac{a x^{6} - b}{\left(a x^{6} + b\right) \sqrt[3]{a^{3} x^{3} + a x^{6} - b}}\, dx"," ",0,"Integral((a*x**6 - b)/((a*x**6 + b)*(a**3*x**3 + a*x**6 - b)**(1/3)), x)","F",0
862,0,0,0,0.000000," ","integrate((-x**4+1)**(1/2)*(x**4+1)/(4*x**8-7*x**4+4),x)","\int \frac{\sqrt{- \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)} \left(x^{4} + 1\right)}{4 x^{8} - 7 x^{4} + 4}\, dx"," ",0,"Integral(sqrt(-(x - 1)*(x + 1)*(x**2 + 1))*(x**4 + 1)/(4*x**8 - 7*x**4 + 4), x)","F",0
863,0,0,0,0.000000," ","integrate(x**4/(a*x**4-b)**(1/4)/(a*x**8-b),x)","\int \frac{x^{4}}{\sqrt[4]{a x^{4} - b} \left(a x^{8} - b\right)}\, dx"," ",0,"Integral(x**4/((a*x**4 - b)**(1/4)*(a*x**8 - b)), x)","F",0
864,0,0,0,0.000000," ","integrate((x+(x**2+1)**(1/2))**(1/2)*(1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(x**2+1),x)","\int \frac{\sqrt{x + \sqrt{x^{2} + 1}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{x^{2} + 1}\, dx"," ",0,"Integral(sqrt(x + sqrt(x**2 + 1))*sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/(x**2 + 1), x)","F",0
865,0,0,0,0.000000," ","integrate((x+(x**2+1)**(1/2))**(1/2)*(1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(x**2+1),x)","\int \frac{\sqrt{x + \sqrt{x^{2} + 1}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{x^{2} + 1}\, dx"," ",0,"Integral(sqrt(x + sqrt(x**2 + 1))*sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/(x**2 + 1), x)","F",0
866,1,63,0,6.492478," ","integrate((a*x**3-b)**(1/2)/x/(a*x**3+2*b),x)","\frac{2 \left(- \frac{a \operatorname{atan}{\left(\frac{\sqrt{a x^{3} - b}}{\sqrt{b}} \right)}}{6 \sqrt{b}} + \frac{\sqrt{3} a \operatorname{atan}{\left(\frac{\sqrt{3} \sqrt{a x^{3} - b}}{3 \sqrt{b}} \right)}}{6 \sqrt{b}}\right)}{a}"," ",0,"2*(-a*atan(sqrt(a*x**3 - b)/sqrt(b))/(6*sqrt(b)) + sqrt(3)*a*atan(sqrt(3)*sqrt(a*x**3 - b)/(3*sqrt(b)))/(6*sqrt(b)))/a","A",0
867,1,56,0,18.263925," ","integrate((4*a*x**3-b)/x/(a*x**3-b)**(1/2)/(a*x**3+2*b),x)","- \frac{\operatorname{atan}{\left(\frac{\sqrt{a x^{3} - b}}{\sqrt{b}} \right)}}{3 \sqrt{b}} + \frac{\sqrt{3} \operatorname{atan}{\left(\frac{\sqrt{3} \sqrt{a x^{3} - b}}{3 \sqrt{b}} \right)}}{\sqrt{b}}"," ",0,"-atan(sqrt(a*x**3 - b)/sqrt(b))/(3*sqrt(b)) + sqrt(3)*atan(sqrt(3)*sqrt(a*x**3 - b)/(3*sqrt(b)))/sqrt(b)","A",0
868,0,0,0,0.000000," ","integrate((x**4+6*x**2+1)**(1/2)/(-1+x)/(1+x)**3,x)","\int \frac{\sqrt{x^{4} + 6 x^{2} + 1}}{\left(x - 1\right) \left(x + 1\right)^{3}}\, dx"," ",0,"Integral(sqrt(x**4 + 6*x**2 + 1)/((x - 1)*(x + 1)**3), x)","F",0
869,1,42,0,0.929876," ","integrate((a*x**4+b)**(1/4)/x,x)","- \frac{\sqrt[4]{a} x \Gamma\left(- \frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{4}, - \frac{1}{4} \\ \frac{3}{4} \end{matrix}\middle| {\frac{b e^{i \pi}}{a x^{4}}} \right)}}{4 \Gamma\left(\frac{3}{4}\right)}"," ",0,"-a**(1/4)*x*gamma(-1/4)*hyper((-1/4, -1/4), (3/4,), b*exp_polar(I*pi)/(a*x**4))/(4*gamma(3/4))","C",0
870,0,0,0,0.000000," ","integrate(1/(a*x**4-2*b)/(a*x**4-b*x**2)**(1/4),x)","\int \frac{1}{\sqrt[4]{x^{2} \left(a x^{2} - b\right)} \left(a x^{4} - 2 b\right)}\, dx"," ",0,"Integral(1/((x**2*(a*x**2 - b))**(1/4)*(a*x**4 - 2*b)), x)","F",0
871,0,0,0,0.000000," ","integrate(1/(a*x**4-2*b)/(a*x**4-b*x**2)**(1/4),x)","\int \frac{1}{\sqrt[4]{x^{2} \left(a x^{2} - b\right)} \left(a x^{4} - 2 b\right)}\, dx"," ",0,"Integral(1/((x**2*(a*x**2 - b))**(1/4)*(a*x**4 - 2*b)), x)","F",0
872,0,0,0,0.000000," ","integrate(x**6/(a*x**4+b)**(3/4)/(a**2*x**8+b**2),x)","\int \frac{x^{6}}{\left(a x^{4} + b\right)^{\frac{3}{4}} \left(a^{2} x^{8} + b^{2}\right)}\, dx"," ",0,"Integral(x**6/((a*x**4 + b)**(3/4)*(a**2*x**8 + b**2)), x)","F",0
873,0,0,0,0.000000," ","integrate((x**3+x**2*(x**2-1)**(1/2))**(1/2),x)","\int \sqrt{x^{3} + x^{2} \sqrt{x^{2} - 1}}\, dx"," ",0,"Integral(sqrt(x**3 + x**2*sqrt(x**2 - 1)), x)","F",0
874,-1,0,0,0.000000," ","integrate((-a+x)*(-b+x)*(-a*b+x**2)/x/(x*(-a+x)*(-b+x))**(1/2)/(a*b-(a+b+d)*x+x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
875,0,0,0,0.000000," ","integrate(1/(a**3*x**2+b)/(a**3*x**3-b*x**2)**(1/3),x)","\int \frac{1}{\sqrt[3]{x^{2} \left(a^{3} x - b\right)} \left(a^{3} x^{2} + b\right)}\, dx"," ",0,"Integral(1/((x**2*(a**3*x - b))**(1/3)*(a**3*x**2 + b)), x)","F",0
876,0,0,0,0.000000," ","integrate(1/(a**3*x**2+b)/(a**3*x**3-b*x**2)**(1/3),x)","\int \frac{1}{\sqrt[3]{x^{2} \left(a^{3} x - b\right)} \left(a^{3} x^{2} + b\right)}\, dx"," ",0,"Integral(1/((x**2*(a**3*x - b))**(1/3)*(a**3*x**2 + b)), x)","F",0
877,0,0,0,0.000000," ","integrate((x**4-1)**(1/2)/(x**4+1),x)","\int \frac{\sqrt{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}}{x^{4} + 1}\, dx"," ",0,"Integral(sqrt((x - 1)*(x + 1)*(x**2 + 1))/(x**4 + 1), x)","F",0
878,0,0,0,0.000000," ","integrate(x**2*(x**4-x**2)**(1/4),x)","\int x^{2} \sqrt[4]{x^{2} \left(x - 1\right) \left(x + 1\right)}\, dx"," ",0,"Integral(x**2*(x**2*(x - 1)*(x + 1))**(1/4), x)","F",0
879,0,0,0,0.000000," ","integrate(x/(x**4-2*x**3+3*x**2+4*x+1)**(1/2),x)","\int \frac{x}{\sqrt{x^{4} - 2 x^{3} + 3 x^{2} + 4 x + 1}}\, dx"," ",0,"Integral(x/sqrt(x**4 - 2*x**3 + 3*x**2 + 4*x + 1), x)","F",0
880,0,0,0,0.000000," ","integrate(x/(x**4+2*x**3+3*x**2-4*x+1)**(1/2),x)","\int \frac{x}{\sqrt{x^{4} + 2 x^{3} + 3 x^{2} - 4 x + 1}}\, dx"," ",0,"Integral(x/sqrt(x**4 + 2*x**3 + 3*x**2 - 4*x + 1), x)","F",0
881,0,0,0,0.000000," ","integrate((2*x**4-3*x**2+3)/(x**2-1)**(1/4)/(x**4-3*x**2+2),x)","\int \frac{2 x^{4} - 3 x^{2} + 3}{\sqrt[4]{\left(x - 1\right) \left(x + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} - 2\right)}\, dx"," ",0,"Integral((2*x**4 - 3*x**2 + 3)/(((x - 1)*(x + 1))**(1/4)*(x - 1)*(x + 1)*(x**2 - 2)), x)","F",0
882,0,0,0,0.000000," ","integrate(x**2/(a*x**4-b)/(a*x**4+b*x**2)**(1/4),x)","\int \frac{x^{2}}{\sqrt[4]{x^{2} \left(a x^{2} + b\right)} \left(a x^{4} - b\right)}\, dx"," ",0,"Integral(x**2/((x**2*(a*x**2 + b))**(1/4)*(a*x**4 - b)), x)","F",0
883,0,0,0,0.000000," ","integrate(x**2/(a*x**4-b)/(a*x**4+b*x**2)**(1/4),x)","\int \frac{x^{2}}{\sqrt[4]{x^{2} \left(a x^{2} + b\right)} \left(a x^{4} - b\right)}\, dx"," ",0,"Integral(x**2/((x**2*(a*x**2 + b))**(1/4)*(a*x**4 - b)), x)","F",0
884,0,0,0,0.000000," ","integrate((x**3+4*b)/(x**3+b)/(a*x**4-x**3-b)**(1/4),x)","\int \frac{4 b + x^{3}}{\left(b + x^{3}\right) \sqrt[4]{a x^{4} - b - x^{3}}}\, dx"," ",0,"Integral((4*b + x**3)/((b + x**3)*(a*x**4 - b - x**3)**(1/4)), x)","F",0
885,0,0,0,0.000000," ","integrate((a*x**5+4*b)/(a*x**5-b)/(a*x**5+c*x**4-b)**(1/4),x)","\int \frac{a x^{5} + 4 b}{\left(a x^{5} - b\right) \sqrt[4]{a x^{5} - b + c x^{4}}}\, dx"," ",0,"Integral((a*x**5 + 4*b)/((a*x**5 - b)*(a*x**5 - b + c*x**4)**(1/4)), x)","F",0
886,-1,0,0,0.000000," ","integrate((-2*x**6+x**2+1)**(1/2)*(4*x**6+1)/(2*x**6-4*x**2-1)/(2*x**6-2*x**2-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
887,0,0,0,0.000000," ","integrate(x**4/(x**4-1)**(1/4)/(x**8-1),x)","\int \frac{x^{4}}{\sqrt[4]{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \left(x^{4} + 1\right)}\, dx"," ",0,"Integral(x**4/(((x - 1)*(x + 1)*(x**2 + 1))**(1/4)*(x - 1)*(x + 1)*(x**2 + 1)*(x**4 + 1)), x)","F",0
888,0,0,0,0.000000," ","integrate(1/(x**4+1)**(1/4)/(x**8-1),x)","\int \frac{1}{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \left(x^{4} + 1\right)^{\frac{5}{4}}}\, dx"," ",0,"Integral(1/((x - 1)*(x + 1)*(x**2 + 1)*(x**4 + 1)**(5/4)), x)","F",0
889,0,0,0,0.000000," ","integrate((2*x**4-1)/(x**4-1)**(1/4)/(x**8-1),x)","\int \frac{2 x^{4} - 1}{\sqrt[4]{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \left(x^{4} + 1\right)}\, dx"," ",0,"Integral((2*x**4 - 1)/(((x - 1)*(x + 1)*(x**2 + 1))**(1/4)*(x - 1)*(x + 1)*(x**2 + 1)*(x**4 + 1)), x)","F",0
890,0,0,0,0.000000," ","integrate((x**8+1)/(x**4+1)**(1/2)/(x**8-1),x)","\int \frac{x^{8} + 1}{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \left(x^{4} + 1\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((x**8 + 1)/((x - 1)*(x + 1)*(x**2 + 1)*(x**4 + 1)**(3/2)), x)","F",0
891,0,0,0,0.000000," ","integrate((x**12-1)/(x**4+1)**(1/2)/(x**12+1),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right) \left(x^{4} - x^{2} + 1\right)}{\left(x^{4} + 1\right)^{\frac{3}{2}} \left(x^{8} - x^{4} + 1\right)}\, dx"," ",0,"Integral((x - 1)*(x + 1)*(x**2 + 1)*(x**2 - x + 1)*(x**2 + x + 1)*(x**4 - x**2 + 1)/((x**4 + 1)**(3/2)*(x**8 - x**4 + 1)), x)","F",0
892,1,63,0,0.581511," ","integrate((x**2-1)/(x**2+1)**(1/2)/(x+(x**2+1)**(1/2))**(1/2),x)","\frac{2 x^{2}}{15 \sqrt{x + \sqrt{x^{2} + 1}}} + \frac{8 x \sqrt{x^{2} + 1}}{15 \sqrt{x + \sqrt{x^{2} + 1}}} + \frac{46}{15 \sqrt{x + \sqrt{x^{2} + 1}}}"," ",0,"2*x**2/(15*sqrt(x + sqrt(x**2 + 1))) + 8*x*sqrt(x**2 + 1)/(15*sqrt(x + sqrt(x**2 + 1))) + 46/(15*sqrt(x + sqrt(x**2 + 1)))","A",0
893,1,63,0,0.514702," ","integrate((x**2+1)**(1/2)/(x+(x**2+1)**(1/2))**(1/2),x)","\frac{2 x^{2}}{15 \sqrt{x + \sqrt{x^{2} + 1}}} + \frac{8 x \sqrt{x^{2} + 1}}{15 \sqrt{x + \sqrt{x^{2} + 1}}} - \frac{14}{15 \sqrt{x + \sqrt{x^{2} + 1}}}"," ",0,"2*x**2/(15*sqrt(x + sqrt(x**2 + 1))) + 8*x*sqrt(x**2 + 1)/(15*sqrt(x + sqrt(x**2 + 1))) - 14/(15*sqrt(x + sqrt(x**2 + 1)))","A",0
894,0,0,0,0.000000," ","integrate(1/(a**3*x**2-b)/(a**3*x**3-b*x**2)**(1/3),x)","\int \frac{1}{\sqrt[3]{x^{2} \left(a^{3} x - b\right)} \left(a^{3} x^{2} - b\right)}\, dx"," ",0,"Integral(1/((x**2*(a**3*x - b))**(1/3)*(a**3*x**2 - b)), x)","F",0
895,0,0,0,0.000000," ","integrate(1/(a**3*x**2-b)/(a**3*x**3-b*x**2)**(1/3),x)","\int \frac{1}{\sqrt[3]{x^{2} \left(a^{3} x - b\right)} \left(a^{3} x^{2} - b\right)}\, dx"," ",0,"Integral(1/((x**2*(a**3*x - b))**(1/3)*(a**3*x**2 - b)), x)","F",0
896,0,0,0,0.000000," ","integrate(1/(a*x**2+b)/(a**3*x**3+b**2*x**2)**(1/3),x)","\int \frac{1}{\sqrt[3]{x^{2} \left(a^{3} x + b^{2}\right)} \left(a x^{2} + b\right)}\, dx"," ",0,"Integral(1/((x**2*(a**3*x + b**2))**(1/3)*(a*x**2 + b)), x)","F",0
897,0,0,0,0.000000," ","integrate(1/(a*x**2+b)/(a**3*x**3+b**2*x**2)**(1/3),x)","\int \frac{1}{\sqrt[3]{x^{2} \left(a^{3} x + b^{2}\right)} \left(a x^{2} + b\right)}\, dx"," ",0,"Integral(1/((x**2*(a**3*x + b**2))**(1/3)*(a*x**2 + b)), x)","F",0
898,0,0,0,0.000000," ","integrate(x**7*(x**4-x)**(1/4),x)","\int x^{7} \sqrt[4]{x \left(x - 1\right) \left(x^{2} + x + 1\right)}\, dx"," ",0,"Integral(x**7*(x*(x - 1)*(x**2 + x + 1))**(1/4), x)","F",0
899,0,0,0,0.000000," ","integrate((x**2+2)*(x**4-x**2-1)**(1/4)*(x**4+x**2+1)/x**6/(x**2+1),x)","\int \frac{\left(x^{2} + 2\right) \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right) \sqrt[4]{x^{4} - x^{2} - 1}}{x^{6} \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x**2 + 2)*(x**2 - x + 1)*(x**2 + x + 1)*(x**4 - x**2 - 1)**(1/4)/(x**6*(x**2 + 1)), x)","F",0
900,0,0,0,0.000000," ","integrate((x**4+x**3)**(1/4)/x**2/(x**2-1),x)","\int \frac{\sqrt[4]{x^{3} \left(x + 1\right)}}{x^{2} \left(x - 1\right) \left(x + 1\right)}\, dx"," ",0,"Integral((x**3*(x + 1))**(1/4)/(x**2*(x - 1)*(x + 1)), x)","F",0
901,1,70,0,1.979462," ","integrate((2*a*x**4+b)/x**2/(a*x**4+b)**(3/4),x)","\frac{\sqrt[4]{a} \sqrt[4]{1 + \frac{b}{a x^{4}}} \Gamma\left(- \frac{1}{4}\right)}{4 \Gamma\left(\frac{3}{4}\right)} + \frac{a x^{3} \Gamma\left(\frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{3}{4} \\ \frac{7}{4} \end{matrix}\middle| {\frac{a x^{4} e^{i \pi}}{b}} \right)}}{2 b^{\frac{3}{4}} \Gamma\left(\frac{7}{4}\right)}"," ",0,"a**(1/4)*(1 + b/(a*x**4))**(1/4)*gamma(-1/4)/(4*gamma(3/4)) + a*x**3*gamma(3/4)*hyper((3/4, 3/4), (7/4,), a*x**4*exp_polar(I*pi)/b)/(2*b**(3/4)*gamma(7/4))","C",0
902,0,0,0,0.000000," ","integrate((x**2+1)*(x**6+x**2)**(1/4)/x**2/(x**2-1),x)","\int \frac{\sqrt[4]{x^{2} \left(x^{4} + 1\right)} \left(x^{2} + 1\right)}{x^{2} \left(x - 1\right) \left(x + 1\right)}\, dx"," ",0,"Integral((x**2*(x**4 + 1))**(1/4)*(x**2 + 1)/(x**2*(x - 1)*(x + 1)), x)","F",0
903,-1,0,0,0.000000," ","integrate((x**3-1)**(1/2)*(x**6-x**3+1)/x**10/(x**3+2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
904,0,0,0,0.000000," ","integrate((x**2+x*(x**2+x)**(1/2))**(1/2)/x/(x**2+x)**(1/2),x)","\int \frac{\sqrt{x \left(x + \sqrt{x^{2} + x}\right)}}{x \sqrt{x \left(x + 1\right)}}\, dx"," ",0,"Integral(sqrt(x*(x + sqrt(x**2 + x)))/(x*sqrt(x*(x + 1))), x)","F",0
905,0,0,0,0.000000," ","integrate(1/(a*x**2-b)/(a**3*x**3+b**2*x**2)**(1/3),x)","\int \frac{1}{\sqrt[3]{x^{2} \left(a^{3} x + b^{2}\right)} \left(a x^{2} - b\right)}\, dx"," ",0,"Integral(1/((x**2*(a**3*x + b**2))**(1/3)*(a*x**2 - b)), x)","F",0
906,0,0,0,0.000000," ","integrate(1/(a*x**2-b)/(a**3*x**3+b**2*x**2)**(1/3),x)","\int \frac{1}{\sqrt[3]{x^{2} \left(a^{3} x + b^{2}\right)} \left(a x^{2} - b\right)}\, dx"," ",0,"Integral(1/((x**2*(a**3*x + b**2))**(1/3)*(a*x**2 - b)), x)","F",0
907,-1,0,0,0.000000," ","integrate((-a+x)*(-b+x)*(3*a*b-2*(a+b)*x+x**2)/x**2/(x*(-a+x)*(-b+x))**(1/2)/(-a*b+(a+b)*x-x**2+d*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
908,0,0,0,0.000000," ","integrate(1/(x**3+1)/(x**4-x)**(1/4),x)","\int \frac{1}{\sqrt[4]{x \left(x - 1\right) \left(x^{2} + x + 1\right)} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(1/((x*(x - 1)*(x**2 + x + 1))**(1/4)*(x + 1)*(x**2 - x + 1)), x)","F",0
909,0,0,0,0.000000," ","integrate(x*(x**4-x**2)**(1/2)/(2*x**2-3),x)","\int \frac{x \sqrt{x^{2} \left(x - 1\right) \left(x + 1\right)}}{2 x^{2} - 3}\, dx"," ",0,"Integral(x*sqrt(x**2*(x - 1)*(x + 1))/(2*x**2 - 3), x)","F",0
910,-1,0,0,0.000000," ","integrate((x**4-1)*(x**4+1)*(x**4-x**2-1)**(1/2)/(2*x**4-x**2-2)**2/(2*x**4+x**2-2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
911,0,0,0,0.000000," ","integrate((a*x**2+b)/(x**4+a*x**2+b)/(a*x**4+b*x**2)**(1/4),x)","\int \frac{a x^{2} + b}{\sqrt[4]{x^{2} \left(a x^{2} + b\right)} \left(a x^{2} + b + x^{4}\right)}\, dx"," ",0,"Integral((a*x**2 + b)/((x**2*(a*x**2 + b))**(1/4)*(a*x**2 + b + x**4)), x)","F",0
912,0,0,0,0.000000," ","integrate((a*x**2+b)/(x**4+a*x**2+b)/(a*x**4+b*x**2)**(1/4),x)","\int \frac{a x^{2} + b}{\sqrt[4]{x^{2} \left(a x^{2} + b\right)} \left(a x^{2} + b + x^{4}\right)}\, dx"," ",0,"Integral((a*x**2 + b)/((x**2*(a*x**2 + b))**(1/4)*(a*x**2 + b + x**4)), x)","F",0
913,0,0,0,0.000000," ","integrate((a*x**2-b)*(a**2*x**4+b**2)**(1/2)/x**2/(a*x**2+b),x)","\int \frac{\left(a x^{2} - b\right) \sqrt{a^{2} x^{4} + b^{2}}}{x^{2} \left(a x^{2} + b\right)}\, dx"," ",0,"Integral((a*x**2 - b)*sqrt(a**2*x**4 + b**2)/(x**2*(a*x**2 + b)), x)","F",0
914,0,0,0,0.000000," ","integrate((a*x**3+4*b)/(a*x**3+b)/(c*x**4-a*x**3-b)**(1/4),x)","\int \frac{a x^{3} + 4 b}{\left(a x^{3} + b\right) \sqrt[4]{- a x^{3} - b + c x^{4}}}\, dx"," ",0,"Integral((a*x**3 + 4*b)/((a*x**3 + b)*(-a*x**3 - b + c*x**4)**(1/4)), x)","F",0
915,-1,0,0,0.000000," ","integrate((x**4-3)*(x**4+1)*(x**4+x**3+1)/x**6/(x**4-x**3+1)/(x**5+x)**(1/4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
916,-1,0,0,0.000000," ","integrate((x**4-3)*(x**8+x**6+2*x**4+1)/x**6/(x**4-x**3+1)/(x**5+x)**(1/4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
917,1,46,0,1.137730," ","integrate((a*x**3+b)**(3/4)/x,x)","- \frac{a^{\frac{3}{4}} x^{\frac{9}{4}} \Gamma\left(- \frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, - \frac{3}{4} \\ \frac{1}{4} \end{matrix}\middle| {\frac{b e^{i \pi}}{a x^{3}}} \right)}}{3 \Gamma\left(\frac{1}{4}\right)}"," ",0,"-a**(3/4)*x**(9/4)*gamma(-3/4)*hyper((-3/4, -3/4), (1/4,), b*exp_polar(I*pi)/(a*x**3))/(3*gamma(1/4))","C",0
918,1,66,0,3.070450," ","integrate((3*x**4+3*x+1)/x/(x**4+1)**(1/4),x)","\frac{3 x \Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{4}, \frac{1}{4} \\ \frac{5}{4} \end{matrix}\middle| {x^{4} e^{i \pi}} \right)}}{4 \Gamma\left(\frac{5}{4}\right)} + \left(x^{4} + 1\right)^{\frac{3}{4}} - \frac{\Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{4}, \frac{1}{4} \\ \frac{5}{4} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{4}}} \right)}}{4 x \Gamma\left(\frac{5}{4}\right)}"," ",0,"3*x*gamma(1/4)*hyper((1/4, 1/4), (5/4,), x**4*exp_polar(I*pi))/(4*gamma(5/4)) + (x**4 + 1)**(3/4) - gamma(1/4)*hyper((1/4, 1/4), (5/4,), exp_polar(I*pi)/x**4)/(4*x*gamma(5/4))","C",0
919,1,44,0,1.089294," ","integrate((a*x**4+b)**(3/4)/x,x)","- \frac{a^{\frac{3}{4}} x^{3} \Gamma\left(- \frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, - \frac{3}{4} \\ \frac{1}{4} \end{matrix}\middle| {\frac{b e^{i \pi}}{a x^{4}}} \right)}}{4 \Gamma\left(\frac{1}{4}\right)}"," ",0,"-a**(3/4)*x**3*gamma(-3/4)*hyper((-3/4, -3/4), (1/4,), b*exp_polar(I*pi)/(a*x**4))/(4*gamma(1/4))","C",0
920,0,0,0,0.000000," ","integrate((x**2-1)/(x**2+1)/(a*x**4+b*x**3+c*x**2+b*x+a)**(1/2),x)","\int \frac{\left(x - 1\right) \left(x + 1\right)}{\left(x^{2} + 1\right) \sqrt{a x^{4} + a + b x^{3} + b x + c x^{2}}}\, dx"," ",0,"Integral((x - 1)*(x + 1)/((x**2 + 1)*sqrt(a*x**4 + a + b*x**3 + b*x + c*x**2)), x)","F",0
921,0,0,0,0.000000," ","integrate((a*x**2+b)*(a**2*x**4+b**2)**(1/2)/x**2/(a*x**2-b),x)","\int \frac{\left(a x^{2} + b\right) \sqrt{a^{2} x^{4} + b^{2}}}{x^{2} \left(a x^{2} - b\right)}\, dx"," ",0,"Integral((a*x**2 + b)*sqrt(a**2*x**4 + b**2)/(x**2*(a*x**2 - b)), x)","F",0
922,1,46,0,1.060018," ","integrate((a*x**5+b)**(3/4)/x,x)","- \frac{a^{\frac{3}{4}} x^{\frac{15}{4}} \Gamma\left(- \frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, - \frac{3}{4} \\ \frac{1}{4} \end{matrix}\middle| {\frac{b e^{i \pi}}{a x^{5}}} \right)}}{5 \Gamma\left(\frac{1}{4}\right)}"," ",0,"-a**(3/4)*x**(15/4)*gamma(-3/4)*hyper((-3/4, -3/4), (1/4,), b*exp_polar(I*pi)/(a*x**5))/(5*gamma(1/4))","C",0
923,-1,0,0,0.000000," ","integrate((2*x**5+3)*(-x**6-2*x**4+x)**(1/2)/(x**5-1)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
924,-1,0,0,0.000000," ","integrate((x**6-2)*(x**6+1)*(x**6-x**4+1)**(1/4)/x**6/(x**6-2*x**4+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
925,1,46,0,1.051782," ","integrate((a*x**6+b)**(3/4)/x,x)","- \frac{a^{\frac{3}{4}} x^{\frac{9}{2}} \Gamma\left(- \frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, - \frac{3}{4} \\ \frac{1}{4} \end{matrix}\middle| {\frac{b e^{i \pi}}{a x^{6}}} \right)}}{6 \Gamma\left(\frac{1}{4}\right)}"," ",0,"-a**(3/4)*x**(9/2)*gamma(-3/4)*hyper((-3/4, -3/4), (1/4,), b*exp_polar(I*pi)/(a*x**6))/(6*gamma(1/4))","C",0
926,0,0,0,0.000000," ","integrate((1+x)**(1/2)/(x+(1+x)**(1/2))**(1/2),x)","\int \frac{\sqrt{x + 1}}{\sqrt{x + \sqrt{x + 1}}}\, dx"," ",0,"Integral(sqrt(x + 1)/sqrt(x + sqrt(x + 1)), x)","F",0
927,0,0,0,0.000000," ","integrate((x+(1+x)**(1/2))**(1/2)/(1+x)**(1/2),x)","\int \frac{\sqrt{x + \sqrt{x + 1}}}{\sqrt{x + 1}}\, dx"," ",0,"Integral(sqrt(x + sqrt(x + 1))/sqrt(x + 1), x)","F",0
928,0,0,0,0.000000," ","integrate((x**2-1)*(1+(x**2+1)**(1/2))**(1/2)/(x**2+1),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \sqrt{\sqrt{x^{2} + 1} + 1}}{x^{2} + 1}\, dx"," ",0,"Integral((x - 1)*(x + 1)*sqrt(sqrt(x**2 + 1) + 1)/(x**2 + 1), x)","F",0
929,1,15,0,0.984935," ","integrate(1/(x**2+(x**4+1)**(1/2))**(1/2),x)","\frac{{G_{3, 3}^{2, 2}\left(\begin{matrix} 1, 1 & \frac{3}{2} \\\frac{1}{4}, \frac{3}{4} & 0 \end{matrix} \middle| {x^{4}} \right)}}{16 \sqrt{\pi}}"," ",0,"meijerg(((1, 1), (3/2,)), ((1/4, 3/4), (0,)), x**4)/(16*sqrt(pi))","A",0
930,1,53,0,1.111199," ","integrate((x**2+(x**4+1)**(1/2))**(1/2)/x**2,x)","- \frac{\log{\left(\frac{1}{x^{4}} \right)} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{4 \pi} - \frac{\Gamma\left(\frac{3}{4}\right) \Gamma\left(\frac{5}{4}\right) {{}_{4}F_{3}\left(\begin{matrix} \frac{3}{4}, 1, 1, \frac{5}{4} \\ \frac{3}{2}, 2, 2 \end{matrix}\middle| {\frac{e^{i \pi}}{x^{4}}} \right)}}{8 \pi x^{4}}"," ",0,"-log(x**(-4))*gamma(1/4)*gamma(3/4)/(4*pi) - gamma(3/4)*gamma(5/4)*hyper((3/4, 1, 1, 5/4), (3/2, 2, 2), exp_polar(I*pi)/x**4)/(8*pi*x**4)","C",0
931,1,12,0,20.561155," ","integrate(1/((-1+x)**(1/2)+2*x**(1/2))**2/(-1+x)**(1/2),x)","\tilde{\infty} \left(- \frac{2 x}{x - 1} + \frac{2}{x - 1}\right)"," ",0,"zoo*(-2*x/(x - 1) + 2/(x - 1))","A",0
932,0,0,0,0.000000," ","integrate(1/(x**2-1)**(1/2)/(3*x**2-4)**2,x)","\int \frac{1}{\sqrt{\left(x - 1\right) \left(x + 1\right)} \left(3 x^{2} - 4\right)^{2}}\, dx"," ",0,"Integral(1/(sqrt((x - 1)*(x + 1))*(3*x**2 - 4)**2), x)","F",0
933,1,29,0,0.752142," ","integrate(1/x/(x**3+1)**(1/3),x)","- \frac{\Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{3}}} \right)}}{3 x \Gamma\left(\frac{4}{3}\right)}"," ",0,"-gamma(1/3)*hyper((1/3, 1/3), (4/3,), exp_polar(I*pi)/x**3)/(3*x*gamma(4/3))","C",0
934,-1,0,0,0.000000," ","integrate(x**2*(3-2*(1+k)*x+k*x**2)/((1-x)*x*(-k*x+1))**(3/4)/(-1+(1+k)*x-k*x**2+d*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
935,0,0,0,0.000000," ","integrate((a*x**2-b)/(x**4+a*x**2-b)/(a*x**4-b*x**2)**(1/4),x)","\int \frac{a x^{2} - b}{\sqrt[4]{x^{2} \left(a x^{2} - b\right)} \left(a x^{2} - b + x^{4}\right)}\, dx"," ",0,"Integral((a*x**2 - b)/((x**2*(a*x**2 - b))**(1/4)*(a*x**2 - b + x**4)), x)","F",0
936,0,0,0,0.000000," ","integrate((a*x**2-b)/(x**4+a*x**2-b)/(a*x**4-b*x**2)**(1/4),x)","\int \frac{a x^{2} - b}{\sqrt[4]{x^{2} \left(a x^{2} - b\right)} \left(a x^{2} - b + x^{4}\right)}\, dx"," ",0,"Integral((a*x**2 - b)/((x**2*(a*x**2 - b))**(1/4)*(a*x**2 - b + x**4)), x)","F",0
937,0,0,0,0.000000," ","integrate((x**3-x)**(1/3)/(a*x**6+b),x)","\int \frac{\sqrt[3]{x \left(x - 1\right) \left(x + 1\right)}}{a x^{6} + b}\, dx"," ",0,"Integral((x*(x - 1)*(x + 1))**(1/3)/(a*x**6 + b), x)","F",0
938,0,0,0,0.000000," ","integrate((x**3-x)**(1/3)/(a*x**6+b),x)","\int \frac{\sqrt[3]{x \left(x - 1\right) \left(x + 1\right)}}{a x^{6} + b}\, dx"," ",0,"Integral((x*(x - 1)*(x + 1))**(1/3)/(a*x**6 + b), x)","F",0
939,-1,0,0,0.000000," ","integrate((a*x**6-2*b)*(a*x**6+b)**(3/4)/x**4/(a*x**6-c*x**4+b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
940,0,0,0,0.000000," ","integrate((a*x**8+b)/(a*x**8-b)/(a*x**8+c*x**4-b)**(1/4),x)","\int \frac{a x^{8} + b}{\left(a x^{8} - b\right) \sqrt[4]{a x^{8} - b + c x^{4}}}\, dx"," ",0,"Integral((a*x**8 + b)/((a*x**8 - b)*(a*x**8 - b + c*x**4)**(1/4)), x)","F",0
941,0,0,0,0.000000," ","integrate((x**5+1)**(1/2)*(3*x**5-2)/(x**10+2*x**5+x**4+1),x)","\int \frac{\sqrt{\left(x + 1\right) \left(x^{4} - x^{3} + x^{2} - x + 1\right)} \left(3 x^{5} - 2\right)}{x^{10} + 2 x^{5} + x^{4} + 1}\, dx"," ",0,"Integral(sqrt((x + 1)*(x**4 - x**3 + x**2 - x + 1))*(3*x**5 - 2)/(x**10 + 2*x**5 + x**4 + 1), x)","F",0
942,0,0,0,0.000000," ","integrate(1/(2*x+(x**2+1)**(1/2))**2,x)","\int \frac{1}{\left(2 x + \sqrt{x^{2} + 1}\right)^{2}}\, dx"," ",0,"Integral((2*x + sqrt(x**2 + 1))**(-2), x)","F",0
943,0,0,0,0.000000," ","integrate((a*x**2+x*(a**2*x**2-b)**(1/2))**(1/2)/x/(a**2*x**2-b)**(1/2),x)","\int \frac{\sqrt{x \left(a x + \sqrt{a^{2} x^{2} - b}\right)}}{x \sqrt{a^{2} x^{2} - b}}\, dx"," ",0,"Integral(sqrt(x*(a*x + sqrt(a**2*x**2 - b)))/(x*sqrt(a**2*x**2 - b)), x)","F",0
944,0,0,0,0.000000," ","integrate((1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(x**2+1),x)","\int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{x^{2} + 1}\, dx"," ",0,"Integral(sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/(x**2 + 1), x)","F",0
945,0,0,0,0.000000," ","integrate((1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(x**2+1),x)","\int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{x^{2} + 1}\, dx"," ",0,"Integral(sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/(x**2 + 1), x)","F",0
946,0,0,0,0.000000," ","integrate((x**2+2*x+1)**(1/3)/(x**3+x**2+x+4),x)","\int \frac{\sqrt[3]{\left(x + 1\right)^{2}}}{x^{3} + x^{2} + x + 4}\, dx"," ",0,"Integral(((x + 1)**2)**(1/3)/(x**3 + x**2 + x + 4), x)","F",0
947,0,0,0,0.000000," ","integrate((x**2-1)*(x**4+1)**(1/2)/(x**2-x+1)/(x**2+x+1)**2,x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \sqrt{x^{4} + 1}}{\left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)^{2}}\, dx"," ",0,"Integral((x - 1)*(x + 1)*sqrt(x**4 + 1)/((x**2 - x + 1)*(x**2 + x + 1)**2), x)","F",0
948,0,0,0,0.000000," ","integrate(x**4*(x**4-x**2)**(1/4),x)","\int x^{4} \sqrt[4]{x^{2} \left(x - 1\right) \left(x + 1\right)}\, dx"," ",0,"Integral(x**4*(x**2*(x - 1)*(x + 1))**(1/4), x)","F",0
949,0,0,0,0.000000," ","integrate(x**4*(x**4+x**3)**(1/4)/(1+x),x)","\int \frac{x^{4} \sqrt[4]{x^{3} \left(x + 1\right)}}{x + 1}\, dx"," ",0,"Integral(x**4*(x**3*(x + 1))**(1/4)/(x + 1), x)","F",0
950,-1,0,0,0.000000," ","integrate((a*x**3+4*b)*(-a*x**3+x**4-b)/x**4/(a*x**3+b)**(1/4)/(-a*x**3+2*x**4-b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
951,0,0,0,0.000000," ","integrate((a*x**2+b)/(a*x**4+b)/(a*x**4+b*x**2)**(1/4),x)","\int \frac{a x^{2} + b}{\sqrt[4]{x^{2} \left(a x^{2} + b\right)} \left(a x^{4} + b\right)}\, dx"," ",0,"Integral((a*x**2 + b)/((x**2*(a*x**2 + b))**(1/4)*(a*x**4 + b)), x)","F",0
952,0,0,0,0.000000," ","integrate((a*x**2+b)/(a*x**4+b)/(a*x**4+b*x**2)**(1/4),x)","\int \frac{a x^{2} + b}{\sqrt[4]{x^{2} \left(a x^{2} + b\right)} \left(a x^{4} + b\right)}\, dx"," ",0,"Integral((a*x**2 + b)/((x**2*(a*x**2 + b))**(1/4)*(a*x**4 + b)), x)","F",0
953,0,0,0,0.000000," ","integrate((1-x)/(x**6+2*x**5+x**4-4*x**3-5*x**2+2*x+3)**(1/2),x)","- \int \frac{x}{\sqrt{x^{6} + 2 x^{5} + x^{4} - 4 x^{3} - 5 x^{2} + 2 x + 3}}\, dx - \int \left(- \frac{1}{\sqrt{x^{6} + 2 x^{5} + x^{4} - 4 x^{3} - 5 x^{2} + 2 x + 3}}\right)\, dx"," ",0,"-Integral(x/sqrt(x**6 + 2*x**5 + x**4 - 4*x**3 - 5*x**2 + 2*x + 3), x) - Integral(-1/sqrt(x**6 + 2*x**5 + x**4 - 4*x**3 - 5*x**2 + 2*x + 3), x)","F",0
954,-1,0,0,0.000000," ","integrate((3*x**4-1)*(x**8+2*x**4+x**2+1)**(1/2)/(x**4-x+1)**2/(x**4+x+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
955,0,0,0,0.000000," ","integrate((a*x**2+b*x+c)**(1/2),x)","\int \sqrt{a x^{2} + b x + c}\, dx"," ",0,"Integral(sqrt(a*x**2 + b*x + c), x)","F",0
956,0,0,0,0.000000," ","integrate((-1+x)/(x**2-2*x-1)/(x**3-x)**(1/2),x)","\int \frac{x - 1}{\sqrt{x \left(x - 1\right) \left(x + 1\right)} \left(x^{2} - 2 x - 1\right)}\, dx"," ",0,"Integral((x - 1)/(sqrt(x*(x - 1)*(x + 1))*(x**2 - 2*x - 1)), x)","F",0
957,0,0,0,0.000000," ","integrate((x**2+3*x-2)/(x**2-2*x-1)/(x**3-x)**(1/2),x)","\int \frac{x^{2} + 3 x - 2}{\sqrt{x \left(x - 1\right) \left(x + 1\right)} \left(x^{2} - 2 x - 1\right)}\, dx"," ",0,"Integral((x**2 + 3*x - 2)/(sqrt(x*(x - 1)*(x + 1))*(x**2 - 2*x - 1)), x)","F",0
958,0,0,0,0.000000," ","integrate(x*(x**2-3)/(x**2-1)**(2/3)/(x**3-x**2+1),x)","\int \frac{x \left(x^{2} - 3\right)}{\left(\left(x - 1\right) \left(x + 1\right)\right)^{\frac{2}{3}} \left(x^{3} - x^{2} + 1\right)}\, dx"," ",0,"Integral(x*(x**2 - 3)/(((x - 1)*(x + 1))**(2/3)*(x**3 - x**2 + 1)), x)","F",0
959,0,0,0,0.000000," ","integrate(x**2*(x**4-x**3)**(1/4),x)","\int x^{2} \sqrt[4]{x^{3} \left(x - 1\right)}\, dx"," ",0,"Integral(x**2*(x**3*(x - 1))**(1/4), x)","F",0
960,-1,0,0,0.000000," ","integrate((x**4+3)*(-x**5+x**4+x)**(1/2)/(x**4-1)/(x**4+x**3-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
961,0,0,0,0.000000," ","integrate((a*x**2-b)*(a*x**3+b*x)**(1/2)/(b**2*x+2*(a*b-1)*x**3+a**2*x**5),x)","\int \frac{\sqrt{x \left(a x^{2} + b\right)} \left(a x^{2} - b\right)}{x \left(a^{2} x^{4} + 2 a b x^{2} + b^{2} - 2 x^{2}\right)}\, dx"," ",0,"Integral(sqrt(x*(a*x**2 + b))*(a*x**2 - b)/(x*(a**2*x**4 + 2*a*b*x**2 + b**2 - 2*x**2)), x)","F",0
962,-1,0,0,0.000000," ","integrate((x**3-2)*(x**3+1)**(2/3)/x**3/(x**6+x**3+2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
963,-1,0,0,0.000000," ","integrate((x**3-2)*(x**3+1)**(2/3)/x**3/(x**6+x**3+2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
964,-1,0,0,0.000000," ","integrate((2*x**5-3)*(x**6+2*x**4+x)**(1/2)/(x**5+1)/(x**5+x**3+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
965,0,0,0,0.000000," ","integrate((x**6+x**4+x**2-1)**(1/2)*(2*x**6+x**4+1)/(x**12+2*x**10+x**8-2*x**6-x**4+1),x)","\int \frac{\left(x^{2} + 1\right) \left(2 x^{4} - x^{2} + 1\right) \sqrt{x^{6} + x^{4} + x^{2} - 1}}{x^{12} + 2 x^{10} + x^{8} - 2 x^{6} - x^{4} + 1}\, dx"," ",0,"Integral((x**2 + 1)*(2*x**4 - x**2 + 1)*sqrt(x**6 + x**4 + x**2 - 1)/(x**12 + 2*x**10 + x**8 - 2*x**6 - x**4 + 1), x)","F",0
966,0,0,0,0.000000," ","integrate((x**2-x*(x**2-x)**(1/2))**(1/2)/x**3,x)","\int \frac{\sqrt{x \left(x - \sqrt{x^{2} - x}\right)}}{x^{3}}\, dx"," ",0,"Integral(sqrt(x*(x - sqrt(x**2 - x)))/x**3, x)","F",0
967,1,32,0,0.815676," ","integrate(1/x/(x**2+1)**(2/3),x)","- \frac{\Gamma\left(\frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{2}{3}, \frac{2}{3} \\ \frac{5}{3} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{2}}} \right)}}{2 x^{\frac{4}{3}} \Gamma\left(\frac{5}{3}\right)}"," ",0,"-gamma(2/3)*hyper((2/3, 2/3), (5/3,), exp_polar(I*pi)/x**2)/(2*x**(4/3)*gamma(5/3))","C",0
968,1,32,0,0.807018," ","integrate(1/x/(x**2+1)**(1/3),x)","- \frac{\Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{2}}} \right)}}{2 x^{\frac{2}{3}} \Gamma\left(\frac{4}{3}\right)}"," ",0,"-gamma(1/3)*hyper((1/3, 1/3), (4/3,), exp_polar(I*pi)/x**2)/(2*x**(2/3)*gamma(4/3))","C",0
969,0,0,0,0.000000," ","integrate(1/(x**3-1)/(x**3-x**2)**(1/3),x)","\int \frac{1}{\sqrt[3]{x^{2} \left(x - 1\right)} \left(x - 1\right) \left(x^{2} + x + 1\right)}\, dx"," ",0,"Integral(1/((x**2*(x - 1))**(1/3)*(x - 1)*(x**2 + x + 1)), x)","F",0
970,0,0,0,0.000000," ","integrate(1/(x**3-1)/(x**3-x**2)**(1/3),x)","\int \frac{1}{\sqrt[3]{x^{2} \left(x - 1\right)} \left(x - 1\right) \left(x^{2} + x + 1\right)}\, dx"," ",0,"Integral(1/((x**2*(x - 1))**(1/3)*(x - 1)*(x**2 + x + 1)), x)","F",0
971,-1,0,0,0.000000," ","integrate((x**3-1)**(1/2)*(x**3+2)*(x**3-x**2-1)**2/x**6/(2*x**3-3*x**2-2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
972,0,0,0,0.000000," ","integrate((x**3-3*x**2+3*x-1)**(1/4)/(3*x**3+x**2-2*x-1),x)","\int \frac{\sqrt[4]{\left(x - 1\right)^{3}}}{3 x^{3} + x^{2} - 2 x - 1}\, dx"," ",0,"Integral(((x - 1)**3)**(1/4)/(3*x**3 + x**2 - 2*x - 1), x)","F",0
973,0,0,0,0.000000," ","integrate((x**2+x+1)*(x**2+2*x)*(-x**4+x**2+2*x+1)**(1/2)/(1+x)**4,x)","\int \frac{x \sqrt{- \left(x^{2} - x - 1\right) \left(x^{2} + x + 1\right)} \left(x + 2\right) \left(x^{2} + x + 1\right)}{\left(x + 1\right)^{4}}\, dx"," ",0,"Integral(x*sqrt(-(x**2 - x - 1)*(x**2 + x + 1))*(x + 2)*(x**2 + x + 1)/(x + 1)**4, x)","F",0
974,1,66,0,4.505932," ","integrate((x**4-x-1)/x/(x**4+1)**(1/4),x)","- \frac{x \Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{4}, \frac{1}{4} \\ \frac{5}{4} \end{matrix}\middle| {x^{4} e^{i \pi}} \right)}}{4 \Gamma\left(\frac{5}{4}\right)} + \frac{\left(x^{4} + 1\right)^{\frac{3}{4}}}{3} + \frac{\Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{4}, \frac{1}{4} \\ \frac{5}{4} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{4}}} \right)}}{4 x \Gamma\left(\frac{5}{4}\right)}"," ",0,"-x*gamma(1/4)*hyper((1/4, 1/4), (5/4,), x**4*exp_polar(I*pi))/(4*gamma(5/4)) + (x**4 + 1)**(3/4)/3 + gamma(1/4)*hyper((1/4, 1/4), (5/4,), exp_polar(I*pi)/x**4)/(4*x*gamma(5/4))","C",0
975,0,0,0,0.000000," ","integrate((x**4-x**3)**(1/4)/x**2/(x**2-1),x)","\int \frac{\sqrt[4]{x^{3} \left(x - 1\right)}}{x^{2} \left(x - 1\right) \left(x + 1\right)}\, dx"," ",0,"Integral((x**3*(x - 1))**(1/4)/(x**2*(x - 1)*(x + 1)), x)","F",0
976,-1,0,0,0.000000," ","integrate((x**4-3)/(x**4+1)**(1/3)/(x**4-x**3+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
977,0,0,0,0.000000," ","integrate((a*x**2+b)/(x**4-a*x**2+b)/(a*x**4+b*x**2)**(1/4),x)","\int \frac{a x^{2} + b}{\sqrt[4]{x^{2} \left(a x^{2} + b\right)} \left(- a x^{2} + b + x^{4}\right)}\, dx"," ",0,"Integral((a*x**2 + b)/((x**2*(a*x**2 + b))**(1/4)*(-a*x**2 + b + x**4)), x)","F",0
978,0,0,0,0.000000," ","integrate((a*x**2+b)/(x**4-a*x**2+b)/(a*x**4+b*x**2)**(1/4),x)","\int \frac{a x^{2} + b}{\sqrt[4]{x^{2} \left(a x^{2} + b\right)} \left(- a x^{2} + b + x^{4}\right)}\, dx"," ",0,"Integral((a*x**2 + b)/((x**2*(a*x**2 + b))**(1/4)*(-a*x**2 + b + x**4)), x)","F",0
979,1,126,0,2.222682," ","integrate((2*a*x**4-b)/x**2/(a*x**4-b)**(3/4),x)","\frac{a x^{3} e^{- \frac{3 i \pi}{4}} \Gamma\left(\frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{3}{4} \\ \frac{7}{4} \end{matrix}\middle| {\frac{a x^{4}}{b}} \right)}}{2 b^{\frac{3}{4}} \Gamma\left(\frac{7}{4}\right)} - b \left(\begin{cases} - \frac{\sqrt[4]{a} \sqrt[4]{-1 + \frac{b}{a x^{4}}} e^{\frac{i \pi}{4}} \Gamma\left(- \frac{1}{4}\right)}{4 b \Gamma\left(\frac{3}{4}\right)} & \text{for}\: \left|{\frac{b}{a x^{4}}}\right| > 1 \\- \frac{\sqrt[4]{a} \sqrt[4]{1 - \frac{b}{a x^{4}}} \Gamma\left(- \frac{1}{4}\right)}{4 b \Gamma\left(\frac{3}{4}\right)} & \text{otherwise} \end{cases}\right)"," ",0,"a*x**3*exp(-3*I*pi/4)*gamma(3/4)*hyper((3/4, 3/4), (7/4,), a*x**4/b)/(2*b**(3/4)*gamma(7/4)) - b*Piecewise((-a**(1/4)*(-1 + b/(a*x**4))**(1/4)*exp(I*pi/4)*gamma(-1/4)/(4*b*gamma(3/4)), Abs(b/(a*x**4)) > 1), (-a**(1/4)*(1 - b/(a*x**4))**(1/4)*gamma(-1/4)/(4*b*gamma(3/4)), True))","C",0
980,1,31,0,0.785222," ","integrate(1/x/(x**6+1)**(1/3),x)","- \frac{\Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{6}}} \right)}}{6 x^{2} \Gamma\left(\frac{4}{3}\right)}"," ",0,"-gamma(1/3)*hyper((1/3, 1/3), (4/3,), exp_polar(I*pi)/x**6)/(6*x**2*gamma(4/3))","C",0
981,-1,0,0,0.000000," ","integrate((2*x**6-9*x**4+3)/x/(x**2+1)**2/(2*x**2-1)/((-2*x**2+1)/(2*x**2+1))**(1/2)/(2*x**2+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
982,0,0,0,0.000000," ","integrate((2*x**4-1)**(1/4)*(x**8-2)/x**6/(x**4-1)**2,x)","\int \frac{\sqrt[4]{2 x^{4} - 1} \left(x^{8} - 2\right)}{x^{6} \left(x - 1\right)^{2} \left(x + 1\right)^{2} \left(x^{2} + 1\right)^{2}}\, dx"," ",0,"Integral((2*x**4 - 1)**(1/4)*(x**8 - 2)/(x**6*(x - 1)**2*(x + 1)**2*(x**2 + 1)**2), x)","F",0
983,1,42,0,1.183639," ","integrate((a*x**2+b)**(3/4)/x**3,x)","- \frac{a^{\frac{3}{4}} \Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, \frac{1}{4} \\ \frac{5}{4} \end{matrix}\middle| {\frac{b e^{i \pi}}{a x^{2}}} \right)}}{2 \sqrt{x} \Gamma\left(\frac{5}{4}\right)}"," ",0,"-a**(3/4)*gamma(1/4)*hyper((-3/4, 1/4), (5/4,), b*exp_polar(I*pi)/(a*x**2))/(2*sqrt(x)*gamma(5/4))","C",0
984,-1,0,0,0.000000," ","integrate((3-2*(1+k)*x+k*x**2)/((1-x)*x*(-k*x+1))**(1/4)/(-d+d*(1+k)*x-d*k*x**2+x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
985,0,0,0,0.000000," ","integrate(1/(x**3-3*x**2+3*x-1)**(1/4)/(3*x**3+x**2-2*x-1),x)","\int \frac{1}{\left(3 x^{3} + x^{2} - 2 x - 1\right) \sqrt[4]{\left(x - 1\right)^{3}}}\, dx"," ",0,"Integral(1/((3*x**3 + x**2 - 2*x - 1)*((x - 1)**3)**(1/4)), x)","F",0
986,1,42,0,1.233799," ","integrate((a*x**3+b)**(3/4)/x**4,x)","- \frac{a^{\frac{3}{4}} \Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, \frac{1}{4} \\ \frac{5}{4} \end{matrix}\middle| {\frac{b e^{i \pi}}{a x^{3}}} \right)}}{3 x^{\frac{3}{4}} \Gamma\left(\frac{5}{4}\right)}"," ",0,"-a**(3/4)*gamma(1/4)*hyper((-3/4, 1/4), (5/4,), b*exp_polar(I*pi)/(a*x**3))/(3*x**(3/4)*gamma(5/4))","C",0
987,0,0,0,0.000000," ","integrate((x**4+x**2)**(1/4)/x**4/(x**4-1),x)","\int \frac{\sqrt[4]{x^{2} \left(x^{2} + 1\right)}}{x^{4} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x**2*(x**2 + 1))**(1/4)/(x**4*(x - 1)*(x + 1)*(x**2 + 1)), x)","F",0
988,-1,0,0,0.000000," ","integrate(x*(x**4-3)/(x**4+1)**(2/3)/(x**4+x**3+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
989,0,0,0,0.000000," ","integrate((-4*x**4-x**2+2)**(1/2)*(2*x**4+1)/(2*x**4-1)/(2*x**4-x**2-1),x)","\int \frac{\left(2 x^{4} + 1\right) \sqrt{- 4 x^{4} - x^{2} + 2}}{\left(x - 1\right) \left(x + 1\right) \left(2 x^{2} + 1\right) \left(2 x^{4} - 1\right)}\, dx"," ",0,"Integral((2*x**4 + 1)*sqrt(-4*x**4 - x**2 + 2)/((x - 1)*(x + 1)*(2*x**2 + 1)*(2*x**4 - 1)), x)","F",0
990,1,37,0,1.177057," ","integrate((a*x**4+b)**(3/4),x)","\frac{b^{\frac{3}{4}} x \Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, \frac{1}{4} \\ \frac{5}{4} \end{matrix}\middle| {\frac{a x^{4} e^{i \pi}}{b}} \right)}}{4 \Gamma\left(\frac{5}{4}\right)}"," ",0,"b**(3/4)*x*gamma(1/4)*hyper((-3/4, 1/4), (5/4,), a*x**4*exp_polar(I*pi)/b)/(4*gamma(5/4))","C",0
991,1,42,0,1.238811," ","integrate((a*x**4+b)**(3/4)/x**4,x)","\frac{b^{\frac{3}{4}} \Gamma\left(- \frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, - \frac{3}{4} \\ \frac{1}{4} \end{matrix}\middle| {\frac{a x^{4} e^{i \pi}}{b}} \right)}}{4 x^{3} \Gamma\left(\frac{1}{4}\right)}"," ",0,"b**(3/4)*gamma(-3/4)*hyper((-3/4, -3/4), (1/4,), a*x**4*exp_polar(I*pi)/b)/(4*x**3*gamma(1/4))","C",0
992,1,42,0,1.443830," ","integrate((a*x**5+b)**(3/4)/x**6,x)","- \frac{a^{\frac{3}{4}} \Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, \frac{1}{4} \\ \frac{5}{4} \end{matrix}\middle| {\frac{b e^{i \pi}}{a x^{5}}} \right)}}{5 x^{\frac{5}{4}} \Gamma\left(\frac{5}{4}\right)}"," ",0,"-a**(3/4)*gamma(1/4)*hyper((-3/4, 1/4), (5/4,), b*exp_polar(I*pi)/(a*x**5))/(5*x**(5/4)*gamma(5/4))","C",0
993,0,0,0,0.000000," ","integrate((-3*x**5+2)/(x**5-x**2+1)/(x**6+x)**(1/3),x)","- \int \frac{3 x^{5}}{x^{5} \sqrt[3]{x^{6} + x} - x^{2} \sqrt[3]{x^{6} + x} + \sqrt[3]{x^{6} + x}}\, dx - \int \left(- \frac{2}{x^{5} \sqrt[3]{x^{6} + x} - x^{2} \sqrt[3]{x^{6} + x} + \sqrt[3]{x^{6} + x}}\right)\, dx"," ",0,"-Integral(3*x**5/(x**5*(x**6 + x)**(1/3) - x**2*(x**6 + x)**(1/3) + (x**6 + x)**(1/3)), x) - Integral(-2/(x**5*(x**6 + x)**(1/3) - x**2*(x**6 + x)**(1/3) + (x**6 + x)**(1/3)), x)","F",0
994,1,42,0,1.525531," ","integrate((a*x**6+b)**(3/4)/x**7,x)","- \frac{a^{\frac{3}{4}} \Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, \frac{1}{4} \\ \frac{5}{4} \end{matrix}\middle| {\frac{b e^{i \pi}}{a x^{6}}} \right)}}{6 x^{\frac{3}{2}} \Gamma\left(\frac{5}{4}\right)}"," ",0,"-a**(3/4)*gamma(1/4)*hyper((-3/4, 1/4), (5/4,), b*exp_polar(I*pi)/(a*x**6))/(6*x**(3/2)*gamma(5/4))","C",0
995,-1,0,0,0.000000," ","integrate((a*x**6+2*b)/(a*x**6-b)**(1/4)/(a*x**6-2*x**4-b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
996,0,0,0,0.000000," ","integrate((x**4-1)*(x**4+1)**(1/2)/(x**8+3*x**4+1),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \sqrt{x^{4} + 1}}{x^{8} + 3 x^{4} + 1}\, dx"," ",0,"Integral((x - 1)*(x + 1)*(x**2 + 1)*sqrt(x**4 + 1)/(x**8 + 3*x**4 + 1), x)","F",0
997,-1,0,0,0.000000," ","integrate((k**2*x**2-1)/((1-x)*x*(-k**2*x+1))**(1/2)/(a*k**2*x**2+b*x+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
998,1,34,0,0.806342," ","integrate(1/x/(x**4-1)**(1/3),x)","- \frac{\Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {\frac{e^{2 i \pi}}{x^{4}}} \right)}}{4 x^{\frac{4}{3}} \Gamma\left(\frac{4}{3}\right)}"," ",0,"-gamma(1/3)*hyper((1/3, 1/3), (4/3,), exp_polar(2*I*pi)/x**4)/(4*x**(4/3)*gamma(4/3))","C",0
999,0,0,0,0.000000," ","integrate(x**2*(a*x**2-2*b)/(a*x**2-b)**(3/4)/(x**4-4*a*x**2+4*b),x)","\int \frac{x^{2} \left(a x^{2} - 2 b\right)}{\left(a x^{2} - b\right)^{\frac{3}{4}} \left(- 4 a x^{2} + 4 b + x^{4}\right)}\, dx"," ",0,"Integral(x**2*(a*x**2 - 2*b)/((a*x**2 - b)**(3/4)*(-4*a*x**2 + 4*b + x**4)), x)","F",0
1000,-1,0,0,0.000000," ","integrate((-a*b*x+x**3)/(x*(-a+x)*(-b+x))**(1/2)/(a**2*b**2-2*a*b*(a+b)*x+(a**2+4*a*b+b**2-d)*x**2-2*(a+b)*x**3+x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1001,0,0,0,0.000000," ","integrate((-x**4-1)**(1/4)*(x**4-1)/x**6/(2*x**4+1),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \sqrt[4]{- x^{4} - 1}}{x^{6} \left(2 x^{4} + 1\right)}\, dx"," ",0,"Integral((x - 1)*(x + 1)*(x**2 + 1)*(-x**4 - 1)**(1/4)/(x**6*(2*x**4 + 1)), x)","F",0
1002,-1,0,0,0.000000," ","integrate((a*b*x-x**3)/(x*(-a+x)*(-b+x))**(1/2)/(a**2*b**2*d-2*a*b*(a+b)*d*x+(a**2*d+4*a*b*d+b**2*d-1)*x**2-2*(a+b)*d*x**3+d*x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1003,-1,0,0,0.000000," ","integrate((-a*b*x+x**3)/(x*(-a+x)*(-b+x))**(1/2)/(a**2*b**2*d-2*a*b*(a+b)*d*x+(a**2*d+4*a*b*d+b**2*d-1)*x**2-2*(a+b)*d*x**3+d*x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1004,1,32,0,0.802445," ","integrate(1/x/(x**6-1)**(1/3),x)","- \frac{\Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {\frac{e^{2 i \pi}}{x^{6}}} \right)}}{6 x^{2} \Gamma\left(\frac{4}{3}\right)}"," ",0,"-gamma(1/3)*hyper((1/3, 1/3), (4/3,), exp_polar(2*I*pi)/x**6)/(6*x**2*gamma(4/3))","C",0
1005,-1,0,0,0.000000," ","integrate((x**3+1)**(2/3)*(2*x**6+x**3+2)/x**6/(x**6+x**3+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1006,-1,0,0,0.000000," ","integrate((x**3+1)**(2/3)*(2*x**6+x**3+2)/x**6/(x**6+x**3+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1007,-1,0,0,0.000000," ","integrate((x**4-1)*(x**4-x**2+1)*(4*x**4-x**2+4)**(1/2)/(x**4+1)/(4*x**8+7*x**4+4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1008,0,0,0,0.000000," ","integrate((-3*x**10+x**9-9*x**7+3*x**6-9*x**4+3*x**3-3*x+1)**(1/3),x)","\int \sqrt[3]{- 3 x^{10} + x^{9} - 9 x^{7} + 3 x^{6} - 9 x^{4} + 3 x^{3} - 3 x + 1}\, dx"," ",0,"Integral((-3*x**10 + x**9 - 9*x**7 + 3*x**6 - 9*x**4 + 3*x**3 - 3*x + 1)**(1/3), x)","F",0
1009,-1,0,0,0.000000," ","integrate(x*(-b+x)*(a*b-2*a*x+x**2)/(-a+x)/(x*(-a+x)*(-b+x))**(1/2)/(a*d+(-b-d)*x+x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1010,0,0,0,0.000000," ","integrate((k**2*x**2+1)/((1-x)*x*(-k**2*x+1))**(1/2)/(k**2*x**2-1),x)","\int \frac{k^{2} x^{2} + 1}{\sqrt{x \left(x - 1\right) \left(k^{2} x - 1\right)} \left(k x - 1\right) \left(k x + 1\right)}\, dx"," ",0,"Integral((k**2*x**2 + 1)/(sqrt(x*(x - 1)*(k**2*x - 1))*(k*x - 1)*(k*x + 1)), x)","F",0
1011,1,27,0,0.743480," ","integrate(1/(x**3+1)**(1/3),x)","\frac{x \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {x^{3} e^{i \pi}} \right)}}{3 \Gamma\left(\frac{4}{3}\right)}"," ",0,"x*gamma(1/3)*hyper((1/3, 1/3), (4/3,), x**3*exp_polar(I*pi))/(3*gamma(4/3))","C",0
1012,0,0,0,0.000000," ","integrate((x**2+x)/(x**2-2*x-1)/(x**3-x)**(1/2),x)","\int \frac{x \left(x + 1\right)}{\sqrt{x \left(x - 1\right) \left(x + 1\right)} \left(x^{2} - 2 x - 1\right)}\, dx"," ",0,"Integral(x*(x + 1)/(sqrt(x*(x - 1)*(x + 1))*(x**2 - 2*x - 1)), x)","F",0
1013,-1,0,0,0.000000," ","integrate(x**2*(3*a*b-2*(a+b)*x+x**2)/(x*(-a+x)*(-b+x))**(3/4)/(-a*b+(a+b)*x-x**2+d*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1014,1,31,0,0.779029," ","integrate(1/x/(x**4-1)**(1/4),x)","- \frac{\Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{4}, \frac{1}{4} \\ \frac{5}{4} \end{matrix}\middle| {\frac{e^{2 i \pi}}{x^{4}}} \right)}}{4 x \Gamma\left(\frac{5}{4}\right)}"," ",0,"-gamma(1/4)*hyper((1/4, 1/4), (5/4,), exp_polar(2*I*pi)/x**4)/(4*x*gamma(5/4))","C",0
1015,-1,0,0,0.000000," ","integrate((-a+x)*(-b+x)*(-a*b+x**2)/(x*(-a+x)*(-b+x))**(1/2)/(a**2*b**2-2*a*b*(a+b)*x+(a**2+4*a*b+b**2-d)*x**2-2*(a+b)*x**3+x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1016,1,78,0,2.737227," ","integrate(x**2*(a*x**4-b)/(a*x**4+b)**(3/4),x)","\frac{a x^{7} \Gamma\left(\frac{7}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{7}{4} \\ \frac{11}{4} \end{matrix}\middle| {\frac{a x^{4} e^{i \pi}}{b}} \right)}}{4 b^{\frac{3}{4}} \Gamma\left(\frac{11}{4}\right)} - \frac{\sqrt[4]{b} x^{3} \Gamma\left(\frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{3}{4} \\ \frac{7}{4} \end{matrix}\middle| {\frac{a x^{4} e^{i \pi}}{b}} \right)}}{4 \Gamma\left(\frac{7}{4}\right)}"," ",0,"a*x**7*gamma(7/4)*hyper((3/4, 7/4), (11/4,), a*x**4*exp_polar(I*pi)/b)/(4*b**(3/4)*gamma(11/4)) - b**(1/4)*x**3*gamma(3/4)*hyper((3/4, 3/4), (7/4,), a*x**4*exp_polar(I*pi)/b)/(4*gamma(7/4))","C",0
1017,0,0,0,0.000000," ","integrate(1/(a*x**4+b*x)**(1/4),x)","\int \frac{1}{\sqrt[4]{a x^{4} + b x}}\, dx"," ",0,"Integral((a*x**4 + b*x)**(-1/4), x)","F",0
1018,-1,0,0,0.000000," ","integrate((-a+x)*(-b+x)*(-a*b+x**2)/(x*(-a+x)*(-b+x))**(1/2)/(a**2*b**2*d-2*a*b*(a+b)*d*x+(a**2*d+4*a*b*d+b**2*d-1)*x**2-2*(a+b)*d*x**3+d*x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1019,1,34,0,0.790323," ","integrate(1/x/(x**6-1)**(1/4),x)","- \frac{\Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{4}, \frac{1}{4} \\ \frac{5}{4} \end{matrix}\middle| {\frac{e^{2 i \pi}}{x^{6}}} \right)}}{6 x^{\frac{3}{2}} \Gamma\left(\frac{5}{4}\right)}"," ",0,"-gamma(1/4)*hyper((1/4, 1/4), (5/4,), exp_polar(2*I*pi)/x**6)/(6*x**(3/2)*gamma(5/4))","C",0
1020,0,0,0,0.000000," ","integrate(1/(a*x**3-b*x)**(1/3)/(c*x**6+d),x)","\int \frac{1}{\sqrt[3]{x \left(a x^{2} - b\right)} \left(c x^{6} + d\right)}\, dx"," ",0,"Integral(1/((x*(a*x**2 - b))**(1/3)*(c*x**6 + d)), x)","F",0
1021,0,0,0,0.000000," ","integrate(1/(a*x**3-b*x)**(1/3)/(c*x**6+d),x)","\int \frac{1}{\sqrt[3]{x \left(a x^{2} - b\right)} \left(c x^{6} + d\right)}\, dx"," ",0,"Integral(1/((x*(a*x**2 - b))**(1/3)*(c*x**6 + d)), x)","F",0
1022,0,0,0,0.000000," ","integrate((x**2-1)*(-1+x*(-x**4+3*x**2-1)**(1/2)),x)","\int \left(x - 1\right) \left(x + 1\right) \left(x \sqrt{- x^{4} + 3 x^{2} - 1} - 1\right)\, dx"," ",0,"Integral((x - 1)*(x + 1)*(x*sqrt(-x**4 + 3*x**2 - 1) - 1), x)","F",0
1023,0,0,0,0.000000," ","integrate((1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(x**2+1)/(x+(x**2+1)**(1/2))**(1/2),x)","\int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{\sqrt{x + \sqrt{x^{2} + 1}} \left(x^{2} + 1\right)}\, dx"," ",0,"Integral(sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/(sqrt(x + sqrt(x**2 + 1))*(x**2 + 1)), x)","F",0
1024,0,0,0,0.000000," ","integrate((1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(x**2+1)/(x+(x**2+1)**(1/2))**(1/2),x)","\int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{\sqrt{x + \sqrt{x^{2} + 1}} \left(x^{2} + 1\right)}\, dx"," ",0,"Integral(sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/(sqrt(x + sqrt(x**2 + 1))*(x**2 + 1)), x)","F",0
1025,0,0,0,0.000000," ","integrate((c+(a*x+(a**2*x**2+b)**(1/2))**(1/2))**(1/2)/(a**2*x**2+b)**(1/2),x)","\int \frac{\sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}}}{\sqrt{a^{2} x^{2} + b}}\, dx"," ",0,"Integral(sqrt(c + sqrt(a*x + sqrt(a**2*x**2 + b)))/sqrt(a**2*x**2 + b), x)","F",0
1026,0,0,0,0.000000," ","integrate((x**2-1)**(1/2)/(-I+x)**2,x)","\int \frac{\sqrt{\left(x - 1\right) \left(x + 1\right)}}{\left(x - i\right)^{2}}\, dx"," ",0,"Integral(sqrt((x - 1)*(x + 1))/(x - I)**2, x)","F",0
1027,1,41,0,1.442710," ","integrate(1/x**3/(a*x**2+b)**(3/4),x)","- \frac{\Gamma\left(\frac{7}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{7}{4} \\ \frac{11}{4} \end{matrix}\middle| {\frac{b e^{i \pi}}{a x^{2}}} \right)}}{2 a^{\frac{3}{4}} x^{\frac{7}{2}} \Gamma\left(\frac{11}{4}\right)}"," ",0,"-gamma(7/4)*hyper((3/4, 7/4), (11/4,), b*exp_polar(I*pi)/(a*x**2))/(2*a**(3/4)*x**(7/2)*gamma(11/4))","C",0
1028,0,0,0,0.000000," ","integrate((3*x**3+x**2-2*x-1)**4/(x**3-3*x**2+3*x-1)**(1/4),x)","\int \frac{\left(3 x^{3} + x^{2} - 2 x - 1\right)^{4}}{\sqrt[4]{\left(x - 1\right)^{3}}}\, dx"," ",0,"Integral((3*x**3 + x**2 - 2*x - 1)**4/((x - 1)**3)**(1/4), x)","F",0
1029,1,41,0,1.198491," ","integrate(1/x**4/(a*x**3+b)**(3/4),x)","- \frac{\Gamma\left(\frac{7}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{7}{4} \\ \frac{11}{4} \end{matrix}\middle| {\frac{b e^{i \pi}}{a x^{3}}} \right)}}{3 a^{\frac{3}{4}} x^{\frac{21}{4}} \Gamma\left(\frac{11}{4}\right)}"," ",0,"-gamma(7/4)*hyper((3/4, 7/4), (11/4,), b*exp_polar(I*pi)/(a*x**3))/(3*a**(3/4)*x**(21/4)*gamma(11/4))","C",0
1030,0,0,0,0.000000," ","integrate(x/(x**4+10*x**2-96*x-71)**(1/2),x)","\int \frac{x}{\sqrt{x^{4} + 10 x^{2} - 96 x - 71}}\, dx"," ",0,"Integral(x/sqrt(x**4 + 10*x**2 - 96*x - 71), x)","F",0
1031,-1,0,0,0.000000," ","integrate((8+3*x)*(2*x**4-x-2)**(1/4)/x**2/(x**4+x+2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1032,1,39,0,1.398360," ","integrate(1/x**5/(a*x**4+b)**(3/4),x)","- \frac{\Gamma\left(\frac{7}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{7}{4} \\ \frac{11}{4} \end{matrix}\middle| {\frac{b e^{i \pi}}{a x^{4}}} \right)}}{4 a^{\frac{3}{4}} x^{7} \Gamma\left(\frac{11}{4}\right)}"," ",0,"-gamma(7/4)*hyper((3/4, 7/4), (11/4,), b*exp_polar(I*pi)/(a*x**4))/(4*a**(3/4)*x**7*gamma(11/4))","C",0
1033,1,41,0,1.327535," ","integrate(1/x**6/(a*x**5+b)**(3/4),x)","- \frac{\Gamma\left(\frac{7}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{7}{4} \\ \frac{11}{4} \end{matrix}\middle| {\frac{b e^{i \pi}}{a x^{5}}} \right)}}{5 a^{\frac{3}{4}} x^{\frac{35}{4}} \Gamma\left(\frac{11}{4}\right)}"," ",0,"-gamma(7/4)*hyper((3/4, 7/4), (11/4,), b*exp_polar(I*pi)/(a*x**5))/(5*a**(3/4)*x**(35/4)*gamma(11/4))","C",0
1034,-1,0,0,0.000000," ","integrate((x**3-1)**(2/3)*(x**6-2*x**3+1)/x**6/(x**6-x**3+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1035,-1,0,0,0.000000," ","integrate((x**3-1)**(2/3)*(x**6-2*x**3+1)/x**6/(x**6-x**3+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1036,1,41,0,1.406589," ","integrate(1/x**7/(a*x**6+b)**(3/4),x)","- \frac{\Gamma\left(\frac{7}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{7}{4} \\ \frac{11}{4} \end{matrix}\middle| {\frac{b e^{i \pi}}{a x^{6}}} \right)}}{6 a^{\frac{3}{4}} x^{\frac{21}{2}} \Gamma\left(\frac{11}{4}\right)}"," ",0,"-gamma(7/4)*hyper((3/4, 7/4), (11/4,), b*exp_polar(I*pi)/(a*x**6))/(6*a**(3/4)*x**(21/2)*gamma(11/4))","C",0
1037,0,0,0,0.000000," ","integrate((x**4-1)**(1/4)*(x**8-1)/x**6/(x**8+1),x)","\int \frac{\sqrt[4]{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \left(x^{4} + 1\right)}{x^{6} \left(x^{8} + 1\right)}\, dx"," ",0,"Integral(((x - 1)*(x + 1)*(x**2 + 1))**(1/4)*(x - 1)*(x + 1)*(x**2 + 1)*(x**4 + 1)/(x**6*(x**8 + 1)), x)","F",0
1038,0,0,0,0.000000," ","integrate((x**8-1)/(x**4+1)**(1/4)/(x**8+1),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \left(x^{4} + 1\right)^{\frac{3}{4}}}{x^{8} + 1}\, dx"," ",0,"Integral((x - 1)*(x + 1)*(x**2 + 1)*(x**4 + 1)**(3/4)/(x**8 + 1), x)","F",0
1039,0,0,0,0.000000," ","integrate((x**8-1)/(x**4+1)**(1/4)/(x**8+1),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \left(x^{4} + 1\right)^{\frac{3}{4}}}{x^{8} + 1}\, dx"," ",0,"Integral((x - 1)*(x + 1)*(x**2 + 1)*(x**4 + 1)**(3/4)/(x**8 + 1), x)","F",0
1040,0,0,0,0.000000," ","integrate((x**4-1)**(1/4)*(x**8-x**4+1)/x**6/(2*x**8+1),x)","\int \frac{\sqrt[4]{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)} \left(x^{8} - x^{4} + 1\right)}{x^{6} \left(2 x^{8} + 1\right)}\, dx"," ",0,"Integral(((x - 1)*(x + 1)*(x**2 + 1))**(1/4)*(x**8 - x**4 + 1)/(x**6*(2*x**8 + 1)), x)","F",0
1041,0,0,0,0.000000," ","integrate((x**4-1)**(1/4)*(x**8-x**4+1)/x**6/(2*x**8+1),x)","\int \frac{\sqrt[4]{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)} \left(x^{8} - x^{4} + 1\right)}{x^{6} \left(2 x^{8} + 1\right)}\, dx"," ",0,"Integral(((x - 1)*(x + 1)*(x**2 + 1))**(1/4)*(x**8 - x**4 + 1)/(x**6*(2*x**8 + 1)), x)","F",0
1042,1,65,0,31.275913," ","integrate((2*x**4+1)*(2*x**8+1)**(1/2)/x,x)","\frac{x^{4} \sqrt{2 x^{8} + 1}}{4} + \frac{\sqrt{2 x^{8} + 1}}{4} + \frac{\log{\left(x^{8} \right)}}{8} - \frac{\log{\left(\sqrt{2 x^{8} + 1} + 1 \right)}}{4} + \frac{\sqrt{2} \operatorname{asinh}{\left(\sqrt{2} x^{4} \right)}}{8}"," ",0,"x**4*sqrt(2*x**8 + 1)/4 + sqrt(2*x**8 + 1)/4 + log(x**8)/8 - log(sqrt(2*x**8 + 1) + 1)/4 + sqrt(2)*asinh(sqrt(2)*x**4)/8","A",0
1043,0,0,0,0.000000," ","integrate((x+(1+x)**(1/2))**(1/2),x)","\int \sqrt{x + \sqrt{x + 1}}\, dx"," ",0,"Integral(sqrt(x + sqrt(x + 1)), x)","F",0
1044,1,76,0,7.864844," ","integrate((a*x**2+2*b)/x/(a**2*x**2+b**2)**(3/4),x)","a \left(\begin{cases} \frac{x^{2}}{2 \left(b^{2}\right)^{\frac{3}{4}}} & \text{for}\: a^{2} = 0 \\\frac{2 \sqrt[4]{a^{2} x^{2} + b^{2}}}{a^{2}} & \text{otherwise} \end{cases}\right) - \frac{b \Gamma\left(\frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{3}{4} \\ \frac{7}{4} \end{matrix}\middle| {\frac{b^{2} e^{i \pi}}{a^{2} x^{2}}} \right)}}{a^{\frac{3}{2}} x^{\frac{3}{2}} \Gamma\left(\frac{7}{4}\right)}"," ",0,"a*Piecewise((x**2/(2*(b**2)**(3/4)), Eq(a**2, 0)), (2*(a**2*x**2 + b**2)**(1/4)/a**2, True)) - b*gamma(3/4)*hyper((3/4, 3/4), (7/4,), b**2*exp_polar(I*pi)/(a**2*x**2))/(a**(3/2)*x**(3/2)*gamma(7/4))","A",0
1045,-1,0,0,0.000000," ","integrate((-a*b*x+x**3)/(-a+x)/(-b+x)/(x*(-a+x)*(-b+x))**(1/2)/(a*b*d-(a*d+b*d+1)*x+d*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1046,-1,0,0,0.000000," ","integrate((-1+2*(-1+k)*x+k*x**2)/((1-x)*x*(-k*x+1))**(1/4)/(-1+(3+d)*x-(d*k+3)*x**2+x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1047,0,0,0,0.000000," ","integrate((x**4+1)/(x**3-x)**(1/2)/(x**4-1),x)","\int \frac{x^{4} + 1}{\sqrt{x \left(x - 1\right) \left(x + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x**4 + 1)/(sqrt(x*(x - 1)*(x + 1))*(x - 1)*(x + 1)*(x**2 + 1)), x)","F",0
1048,0,0,0,0.000000," ","integrate((x**2+2)*(x**4-5*x**2+4)**(1/2)/x**2/(x**2+2*x-2),x)","\int \frac{\sqrt{\left(x - 2\right) \left(x - 1\right) \left(x + 1\right) \left(x + 2\right)} \left(x^{2} + 2\right)}{x^{2} \left(x^{2} + 2 x - 2\right)}\, dx"," ",0,"Integral(sqrt((x - 2)*(x - 1)*(x + 1)*(x + 2))*(x**2 + 2)/(x**2*(x**2 + 2*x - 2)), x)","F",0
1049,0,0,0,0.000000," ","integrate(x**2/(x**4-1)/(x**4+x**2)**(1/4),x)","\int \frac{x^{2}}{\sqrt[4]{x^{2} \left(x^{2} + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}\, dx"," ",0,"Integral(x**2/((x**2*(x**2 + 1))**(1/4)*(x - 1)*(x + 1)*(x**2 + 1)), x)","F",0
1050,0,0,0,0.000000," ","integrate((x**6-2)*(x**6-1)**(1/2)/x**4/(x**6+2),x)","\int \frac{\sqrt{\left(x - 1\right) \left(x + 1\right) \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)} \left(x^{6} - 2\right)}{x^{4} \left(x^{6} + 2\right)}\, dx"," ",0,"Integral(sqrt((x - 1)*(x + 1)*(x**2 - x + 1)*(x**2 + x + 1))*(x**6 - 2)/(x**4*(x**6 + 2)), x)","F",0
1051,-1,0,0,0.000000," ","integrate((x**6-4)*(x**6-x**4+2)**(5/2)/x**7/(x**6+2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1052,-1,0,0,0.000000," ","integrate((x**3-1)**(2/3)*(x**3+2)/x**6/(2*x**6+x**3+2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1053,-1,0,0,0.000000," ","integrate((x**3-1)**(2/3)*(x**3+2)/x**6/(2*x**6+x**3+2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1054,-1,0,0,0.000000," ","integrate((x**7+x)/(x**6-1)**(2/3)/(x**6+x**3-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1055,0,0,0,0.000000," ","integrate((-x**6+1)**(1/2)*(2*x**6+1)/(x**12-2*x**6+x**4+1),x)","\int \frac{\sqrt{- \left(x - 1\right) \left(x + 1\right) \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)} \left(2 x^{6} + 1\right)}{x^{12} - 2 x^{6} + x^{4} + 1}\, dx"," ",0,"Integral(sqrt(-(x - 1)*(x + 1)*(x**2 - x + 1)*(x**2 + x + 1))*(2*x**6 + 1)/(x**12 - 2*x**6 + x**4 + 1), x)","F",0
1056,0,0,0,0.000000," ","integrate((x**2+1)**(1/2)/(1+(x**2+1)**(1/2))**(1/2),x)","\int \frac{\sqrt{x^{2} + 1}}{\sqrt{\sqrt{x^{2} + 1} + 1}}\, dx"," ",0,"Integral(sqrt(x**2 + 1)/sqrt(sqrt(x**2 + 1) + 1), x)","F",0
1057,1,92,0,0.623438," ","integrate((x**2+1)/(x+(x**2+1)**(1/2))**(1/2),x)","\frac{12 x^{3}}{35 \sqrt{x + \sqrt{x^{2} + 1}}} + \frac{2 x^{2} \sqrt{x^{2} + 1}}{35 \sqrt{x + \sqrt{x^{2} + 1}}} + \frac{44 x}{35 \sqrt{x + \sqrt{x^{2} + 1}}} + \frac{18 \sqrt{x^{2} + 1}}{35 \sqrt{x + \sqrt{x^{2} + 1}}}"," ",0,"12*x**3/(35*sqrt(x + sqrt(x**2 + 1))) + 2*x**2*sqrt(x**2 + 1)/(35*sqrt(x + sqrt(x**2 + 1))) + 44*x/(35*sqrt(x + sqrt(x**2 + 1))) + 18*sqrt(x**2 + 1)/(35*sqrt(x + sqrt(x**2 + 1)))","A",0
1058,1,15,0,0.726727," ","integrate(x**2/(x**2+(x**4+1)**(1/2))**(1/2),x)","\frac{{G_{3, 3}^{2, 2}\left(\begin{matrix} \frac{3}{2}, 1 & 2 \\\frac{3}{4}, \frac{5}{4} & 0 \end{matrix} \middle| {x^{4}} \right)}}{16 \sqrt{\pi}}"," ",0,"meijerg(((3/2, 1), (2,)), ((3/4, 5/4), (0,)), x**4)/(16*sqrt(pi))","A",0
1059,0,0,0,0.000000," ","integrate((x**4+1)**(1/2)/(x**2+(x**4+1)**(1/2))**(1/2),x)","\int \frac{\sqrt{x^{4} + 1}}{\sqrt{x^{2} + \sqrt{x^{4} + 1}}}\, dx"," ",0,"Integral(sqrt(x**4 + 1)/sqrt(x**2 + sqrt(x**4 + 1)), x)","F",0
1060,0,0,0,0.000000," ","integrate((x**2-3)/(x**2-1)**(1/3)/(x**3+x**2-1),x)","\int \frac{x^{2} - 3}{\sqrt[3]{\left(x - 1\right) \left(x + 1\right)} \left(x^{3} + x^{2} - 1\right)}\, dx"," ",0,"Integral((x**2 - 3)/(((x - 1)*(x + 1))**(1/3)*(x**3 + x**2 - 1)), x)","F",0
1061,-1,0,0,0.000000," ","integrate((-a**2*b+a*(2*a+b)*x-3*a*x**2+x**3)/x/(-b+x)/(x*(-a+x)*(-b+x))**(1/2)/(a-(b*d+1)*x+d*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1062,0,0,0,0.000000," ","integrate(1/(a**3*x**3+b)/(a**3*x**3-b*x**2)**(1/3),x)","\int \frac{1}{\sqrt[3]{x^{2} \left(a^{3} x - b\right)} \left(a^{3} x^{3} + b\right)}\, dx"," ",0,"Integral(1/((x**2*(a**3*x - b))**(1/3)*(a**3*x**3 + b)), x)","F",0
1063,0,0,0,0.000000," ","integrate(1/(a**3*x**3+b)/(a**3*x**3-b*x**2)**(1/3),x)","\int \frac{1}{\sqrt[3]{x^{2} \left(a^{3} x - b\right)} \left(a^{3} x^{3} + b\right)}\, dx"," ",0,"Integral(1/((x**2*(a**3*x - b))**(1/3)*(a**3*x**3 + b)), x)","F",0
1064,-1,0,0,0.000000," ","integrate(x**2*(x**3-4)/(x**3-1)**(3/4)/(x**4+x**3-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1065,1,37,0,1.080415," ","integrate(x**6/(a*x**4+b)**(3/4),x)","\frac{x^{7} \Gamma\left(\frac{7}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{7}{4} \\ \frac{11}{4} \end{matrix}\middle| {\frac{a x^{4} e^{i \pi}}{b}} \right)}}{4 b^{\frac{3}{4}} \Gamma\left(\frac{11}{4}\right)}"," ",0,"x**7*gamma(7/4)*hyper((3/4, 7/4), (11/4,), a*x**4*exp_polar(I*pi)/b)/(4*b**(3/4)*gamma(11/4))","C",0
1066,0,0,0,0.000000," ","integrate((a*x**4+b*x**2)**(1/4)/x**2,x)","\int \frac{\sqrt[4]{x^{2} \left(a x^{2} + b\right)}}{x^{2}}\, dx"," ",0,"Integral((x**2*(a*x**2 + b))**(1/4)/x**2, x)","F",0
1067,-1,0,0,0.000000," ","integrate((x**4+2)**(1/4)*(x**8-4)/x**6/(x**8-2*x**4-4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1068,-1,0,0,0.000000," ","integrate((x**4+2)**(1/4)*(x**8-4)/x**6/(x**8-2*x**4-4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1069,0,0,0,0.000000," ","integrate((x**4-1)**(1/4)*(2*x**8+x**4-1)/x**6/(x**8-x**4+1),x)","\int \frac{\sqrt[4]{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)} \left(x^{4} + 1\right) \left(2 x^{4} - 1\right)}{x^{6} \left(x^{8} - x^{4} + 1\right)}\, dx"," ",0,"Integral(((x - 1)*(x + 1)*(x**2 + 1))**(1/4)*(x**4 + 1)*(2*x**4 - 1)/(x**6*(x**8 - x**4 + 1)), x)","F",0
1070,0,0,0,0.000000," ","integrate((x**4-1)**(1/4)*(2*x**8+x**4-1)/x**6/(x**8-x**4+1),x)","\int \frac{\sqrt[4]{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)} \left(x^{4} + 1\right) \left(2 x^{4} - 1\right)}{x^{6} \left(x^{8} - x^{4} + 1\right)}\, dx"," ",0,"Integral(((x - 1)*(x + 1)*(x**2 + 1))**(1/4)*(x**4 + 1)*(2*x**4 - 1)/(x**6*(x**8 - x**4 + 1)), x)","F",0
1071,-1,0,0,0.000000," ","integrate((-2*a*b+(a+b)*x)/(x**2*(-a+x)*(-b+x))**(1/4)/(a*b*d-(a+b)*d*x+(-1+d)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1072,1,34,0,0.939592," ","integrate((x**3+1)**(1/3)/x,x)","- \frac{x \Gamma\left(- \frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, - \frac{1}{3} \\ \frac{2}{3} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{3}}} \right)}}{3 \Gamma\left(\frac{2}{3}\right)}"," ",0,"-x*gamma(-1/3)*hyper((-1/3, -1/3), (2/3,), exp_polar(I*pi)/x**3)/(3*gamma(2/3))","C",0
1073,-1,0,0,0.000000," ","integrate((3*a*b-2*(a+b)*x+x**2)/(x*(-a+x)*(-b+x))**(1/4)/(-a*b*d+(a+b)*d*x-d*x**2+x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1074,0,0,0,0.000000," ","integrate(1/(a**3*x**3-b)/(a**3*x**3-b*x**2)**(1/3),x)","\int \frac{1}{\sqrt[3]{x^{2} \left(a^{3} x - b\right)} \left(a^{3} x^{3} - b\right)}\, dx"," ",0,"Integral(1/((x**2*(a**3*x - b))**(1/3)*(a**3*x**3 - b)), x)","F",0
1075,0,0,0,0.000000," ","integrate(1/(a**3*x**3-b)/(a**3*x**3-b*x**2)**(1/3),x)","\int \frac{1}{\sqrt[3]{x^{2} \left(a^{3} x - b\right)} \left(a^{3} x^{3} - b\right)}\, dx"," ",0,"Integral(1/((x**2*(a**3*x - b))**(1/3)*(a**3*x**3 - b)), x)","F",0
1076,-1,0,0,0.000000," ","integrate((-2*a*b*x**2+(a+b)*x**3)/(x**2*(-a+x)*(-b+x))**(3/4)/(-a*b+(a+b)*x+(-1+d)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1077,0,0,0,0.000000," ","integrate((x**4-1)**(3/4)/(x**4+1),x)","\int \frac{\left(\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)\right)^{\frac{3}{4}}}{x^{4} + 1}\, dx"," ",0,"Integral(((x - 1)*(x + 1)*(x**2 + 1))**(3/4)/(x**4 + 1), x)","F",0
1078,0,0,0,0.000000," ","integrate((x**4-x**2)**(1/4)/x**4/(x**4-1),x)","\int \frac{\sqrt[4]{x^{2} \left(x - 1\right) \left(x + 1\right)}}{x^{4} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x**2*(x - 1)*(x + 1))**(1/4)/(x**4*(x - 1)*(x + 1)*(x**2 + 1)), x)","F",0
1079,0,0,0,0.000000," ","integrate((-x**2+1)**2/(x**2+1)/(x**4+6*x**2+1)**(3/4),x)","\int \frac{\left(x - 1\right)^{2} \left(x + 1\right)^{2}}{\left(x^{2} + 1\right) \left(x^{4} + 6 x^{2} + 1\right)^{\frac{3}{4}}}\, dx"," ",0,"Integral((x - 1)**2*(x + 1)**2/((x**2 + 1)*(x**4 + 6*x**2 + 1)**(3/4)), x)","F",0
1080,0,0,0,0.000000," ","integrate(1/(1+x)/(x**4+6*x**2+1)**(1/4),x)","\int \frac{1}{\left(x + 1\right) \sqrt[4]{x^{4} + 6 x^{2} + 1}}\, dx"," ",0,"Integral(1/((x + 1)*(x**4 + 6*x**2 + 1)**(1/4)), x)","F",0
1081,0,0,0,0.000000," ","integrate((1+x)/(x**4-12*x**3+14*x**2+4*x-7)**(1/2),x)","\int \frac{x + 1}{\sqrt{\left(x - 1\right)^{2} \left(x^{2} - 10 x - 7\right)}}\, dx"," ",0,"Integral((x + 1)/sqrt((x - 1)**2*(x**2 - 10*x - 7)), x)","F",0
1082,-1,0,0,0.000000," ","integrate((x**4+3)/(x**4-1)**(1/3)/(x**4-8*x**3-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1083,-1,0,0,0.000000," ","integrate((-3+2*x)*(3*x**4+2*x**2-2*x)**(1/2)/(x**3+2*x-2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1084,1,126,0,2.595048," ","integrate((a*x**4-2*b)/x**4/(a*x**4-b)**(1/4),x)","\frac{a x e^{- \frac{i \pi}{4}} \Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{4}, \frac{1}{4} \\ \frac{5}{4} \end{matrix}\middle| {\frac{a x^{4}}{b}} \right)}}{4 \sqrt[4]{b} \Gamma\left(\frac{5}{4}\right)} - 2 b \left(\begin{cases} - \frac{a^{\frac{3}{4}} \left(-1 + \frac{b}{a x^{4}}\right)^{\frac{3}{4}} e^{\frac{3 i \pi}{4}} \Gamma\left(- \frac{3}{4}\right)}{4 b \Gamma\left(\frac{1}{4}\right)} & \text{for}\: \left|{\frac{b}{a x^{4}}}\right| > 1 \\- \frac{a^{\frac{3}{4}} \left(1 - \frac{b}{a x^{4}}\right)^{\frac{3}{4}} \Gamma\left(- \frac{3}{4}\right)}{4 b \Gamma\left(\frac{1}{4}\right)} & \text{otherwise} \end{cases}\right)"," ",0,"a*x*exp(-I*pi/4)*gamma(1/4)*hyper((1/4, 1/4), (5/4,), a*x**4/b)/(4*b**(1/4)*gamma(5/4)) - 2*b*Piecewise((-a**(3/4)*(-1 + b/(a*x**4))**(3/4)*exp(3*I*pi/4)*gamma(-3/4)/(4*b*gamma(1/4)), Abs(b/(a*x**4)) > 1), (-a**(3/4)*(1 - b/(a*x**4))**(3/4)*gamma(-3/4)/(4*b*gamma(1/4)), True))","C",0
1085,1,41,0,1.416426," ","integrate((a*x**4-b)**(3/4),x)","- \frac{b^{\frac{3}{4}} x e^{- \frac{i \pi}{4}} \Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, \frac{1}{4} \\ \frac{5}{4} \end{matrix}\middle| {\frac{a x^{4}}{b}} \right)}}{4 \Gamma\left(\frac{5}{4}\right)}"," ",0,"-b**(3/4)*x*exp(-I*pi/4)*gamma(1/4)*hyper((-3/4, 1/4), (5/4,), a*x**4/b)/(4*gamma(5/4))","C",0
1086,1,46,0,1.269245," ","integrate((a*x**4-b)**(3/4)/x**4,x)","\frac{b^{\frac{3}{4}} e^{\frac{3 i \pi}{4}} \Gamma\left(- \frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, - \frac{3}{4} \\ \frac{1}{4} \end{matrix}\middle| {\frac{a x^{4}}{b}} \right)}}{4 x^{3} \Gamma\left(\frac{1}{4}\right)}"," ",0,"b**(3/4)*exp(3*I*pi/4)*gamma(-3/4)*hyper((-3/4, -3/4), (1/4,), a*x**4/b)/(4*x**3*gamma(1/4))","C",0
1087,0,0,0,0.000000," ","integrate(1/(a*x**3-b*x**2)**(1/3)/(a*x**4+b),x)","\int \frac{1}{\sqrt[3]{x^{2} \left(a x - b\right)} \left(a x^{4} + b\right)}\, dx"," ",0,"Integral(1/((x**2*(a*x - b))**(1/3)*(a*x**4 + b)), x)","F",0
1088,0,0,0,0.000000," ","integrate(1/(a*x**3-b*x**2)**(1/3)/(a*x**4+b),x)","\int \frac{1}{\sqrt[3]{x^{2} \left(a x - b\right)} \left(a x^{4} + b\right)}\, dx"," ",0,"Integral(1/((x**2*(a*x - b))**(1/3)*(a*x**4 + b)), x)","F",0
1089,0,0,0,0.000000," ","integrate((a*x**4+b*x**3)**(1/4)/x**2,x)","\int \frac{\sqrt[4]{x^{3} \left(a x + b\right)}}{x^{2}}\, dx"," ",0,"Integral((x**3*(a*x + b))**(1/4)/x**2, x)","F",0
1090,-1,0,0,0.000000," ","integrate((x**6+x**4-x**3+1)**(3/4)*(2*x**6+x**3-4)/(x**6-x**3+1)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1091,0,0,0,0.000000," ","integrate((2*x**4+1)/(x**4+1)**(1/4)/(x**8-x**4-2),x)","\int \frac{2 x^{4} + 1}{\left(x^{4} - 2\right) \left(x^{4} + 1\right)^{\frac{5}{4}}}\, dx"," ",0,"Integral((2*x**4 + 1)/((x**4 - 2)*(x**4 + 1)**(5/4)), x)","F",0
1092,0,0,0,0.000000," ","integrate(1/(a*x**4-b*x**2)**(1/4)/(a*x**8+b),x)","\int \frac{1}{\sqrt[4]{x^{2} \left(a x^{2} - b\right)} \left(a x^{8} + b\right)}\, dx"," ",0,"Integral(1/((x**2*(a*x**2 - b))**(1/4)*(a*x**8 + b)), x)","F",0
1093,0,0,0,0.000000," ","integrate(1/(a*x**4-b*x**2)**(1/4)/(a*x**8+b),x)","\int \frac{1}{\sqrt[4]{x^{2} \left(a x^{2} - b\right)} \left(a x^{8} + b\right)}\, dx"," ",0,"Integral(1/((x**2*(a*x**2 - b))**(1/4)*(a*x**8 + b)), x)","F",0
1094,0,0,0,0.000000," ","integrate((a**4*x**4-b**4)*(a**4*x**4+b**4)**(1/2)/(a**8*x**8+b**8),x)","\int \frac{\left(a x - b\right) \left(a x + b\right) \left(a^{2} x^{2} + b^{2}\right) \sqrt{a^{4} x^{4} + b^{4}}}{a^{8} x^{8} + b^{8}}\, dx"," ",0,"Integral((a*x - b)*(a*x + b)*(a**2*x**2 + b**2)*sqrt(a**4*x**4 + b**4)/(a**8*x**8 + b**8), x)","F",0
1095,0,0,0,0.000000," ","integrate((a**8*x**8-b**8)/(a**4*x**4+b**4)**(1/2)/(a**8*x**8+b**8),x)","\int \frac{\left(a x - b\right) \left(a x + b\right) \left(a^{2} x^{2} + b^{2}\right) \sqrt{a^{4} x^{4} + b^{4}}}{a^{8} x^{8} + b^{8}}\, dx"," ",0,"Integral((a*x - b)*(a*x + b)*(a**2*x**2 + b**2)*sqrt(a**4*x**4 + b**4)/(a**8*x**8 + b**8), x)","F",0
1096,0,0,0,0.000000," ","integrate((b+(a*x**2+b**2)**(1/2))**(1/2)/(a*x**2+b**2)**(3/2),x)","\int \frac{\sqrt{b + \sqrt{a x^{2} + b^{2}}}}{\left(a x^{2} + b^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sqrt(b + sqrt(a*x**2 + b**2))/(a*x**2 + b**2)**(3/2), x)","F",0
1097,0,0,0,0.000000," ","integrate((a*x**2+(a**2*x**4+b)**(1/2))**(1/2)/(a**2*x**4+b)**(1/2),x)","\int \frac{\sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}{\sqrt{a^{2} x^{4} + b}}\, dx"," ",0,"Integral(sqrt(a*x**2 + sqrt(a**2*x**4 + b))/sqrt(a**2*x**4 + b), x)","F",0
1098,0,0,0,0.000000," ","integrate(1/(a*x**3-b*x**2)**(1/3)/(a*x**4-b),x)","\int \frac{1}{\sqrt[3]{x^{2} \left(a x - b\right)} \left(a x^{4} - b\right)}\, dx"," ",0,"Integral(1/((x**2*(a*x - b))**(1/3)*(a*x**4 - b)), x)","F",0
1099,0,0,0,0.000000," ","integrate(1/(a*x**3-b*x**2)**(1/3)/(a*x**4-b),x)","\int \frac{1}{\sqrt[3]{x^{2} \left(a x - b\right)} \left(a x^{4} - b\right)}\, dx"," ",0,"Integral(1/((x**2*(a*x - b))**(1/3)*(a*x**4 - b)), x)","F",0
1100,0,0,0,0.000000," ","integrate((a*x**4-b*x**3)**(1/4)/x/(a*x**3+b),x)","\int \frac{\sqrt[4]{x^{3} \left(a x - b\right)}}{x \left(a x^{3} + b\right)}\, dx"," ",0,"Integral((x**3*(a*x - b))**(1/4)/(x*(a*x**3 + b)), x)","F",0
1101,0,0,0,0.000000," ","integrate((a*x**4-b*x**3)**(1/4)/x/(a*x**3+b),x)","\int \frac{\sqrt[4]{x^{3} \left(a x - b\right)}}{x \left(a x^{3} + b\right)}\, dx"," ",0,"Integral((x**3*(a*x - b))**(1/4)/(x*(a*x**3 + b)), x)","F",0
1102,0,0,0,0.000000," ","integrate((a*x**4+b*x**3)**(1/4)/x,x)","\int \frac{\sqrt[4]{x^{3} \left(a x + b\right)}}{x}\, dx"," ",0,"Integral((x**3*(a*x + b))**(1/4)/x, x)","F",0
1103,0,0,0,0.000000," ","integrate((a*x-b)*(a*x**4+b*x**3)**(1/4)/x/(a*x+b),x)","\int \frac{\sqrt[4]{x^{3} \left(a x + b\right)} \left(a x - b\right)}{x \left(a x + b\right)}\, dx"," ",0,"Integral((x**3*(a*x + b))**(1/4)*(a*x - b)/(x*(a*x + b)), x)","F",0
1104,-1,0,0,0.000000," ","integrate((3*x**4-1)/(x**4-x+1)/(x**6+x**2)**(1/3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1105,0,0,0,0.000000," ","integrate(1/(a*x**4-b*x**2)**(1/4)/(a*x**8-b),x)","\int \frac{1}{\sqrt[4]{x^{2} \left(a x^{2} - b\right)} \left(a x^{8} - b\right)}\, dx"," ",0,"Integral(1/((x**2*(a*x**2 - b))**(1/4)*(a*x**8 - b)), x)","F",0
1106,0,0,0,0.000000," ","integrate(1/(a*x**4-b*x**2)**(1/4)/(a*x**8-b),x)","\int \frac{1}{\sqrt[4]{x^{2} \left(a x^{2} - b\right)} \left(a x^{8} - b\right)}\, dx"," ",0,"Integral(1/((x**2*(a*x**2 - b))**(1/4)*(a*x**8 - b)), x)","F",0
1107,1,70,0,2.367811," ","integrate((a*x**8-b)/x**2/(a*x**4+b)**(3/4),x)","- \frac{\sqrt[4]{a} \sqrt[4]{1 + \frac{b}{a x^{4}}} \Gamma\left(- \frac{1}{4}\right)}{4 \Gamma\left(\frac{3}{4}\right)} + \frac{a x^{7} \Gamma\left(\frac{7}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{7}{4} \\ \frac{11}{4} \end{matrix}\middle| {\frac{a x^{4} e^{i \pi}}{b}} \right)}}{4 b^{\frac{3}{4}} \Gamma\left(\frac{11}{4}\right)}"," ",0,"-a**(1/4)*(1 + b/(a*x**4))**(1/4)*gamma(-1/4)/(4*gamma(3/4)) + a*x**7*gamma(7/4)*hyper((3/4, 7/4), (11/4,), a*x**4*exp_polar(I*pi)/b)/(4*b**(3/4)*gamma(11/4))","C",0
1108,0,0,0,0.000000," ","integrate(x**5*(5*a*x**2-4*b)/(a*x**2-b)**(1/4)/(a*x**10-b*x**8+b),x)","\int \frac{x^{5} \left(5 a x^{2} - 4 b\right)}{\sqrt[4]{a x^{2} - b} \left(a x^{10} - b x^{8} + b\right)}\, dx"," ",0,"Integral(x**5*(5*a*x**2 - 4*b)/((a*x**2 - b)**(1/4)*(a*x**10 - b*x**8 + b)), x)","F",0
1109,0,0,0,0.000000," ","integrate(1/(x**3+x**2)**(1/3),x)","\int \frac{1}{\sqrt[3]{x^{3} + x^{2}}}\, dx"," ",0,"Integral((x**3 + x**2)**(-1/3), x)","F",0
1110,-1,0,0,0.000000," ","integrate((a-3*b+2*x)/((-a+x)*(-b+x))**(1/4)/(-a**3+b*d-(-3*a**2+d)*x-3*a*x**2+x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1111,-1,0,0,0.000000," ","integrate((a-3*b+2*x)*(a**2-2*a*x+x**2)/((-a+x)*(-b+x))**(3/4)/(-b+a**3*d+(-3*a**2*d+1)*x+3*a*d*x**2-d*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1112,-1,0,0,0.000000," ","integrate((-1-2*(-1+k)*x+k*x**2)/((1-x)*x*(-k*x+1))**(1/4)/(-1+(d+3*k)*x-(3*k**2+d)*x**2+k**3*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1113,0,0,0,0.000000," ","integrate((x**4+6*x**2+1)**(1/2)/x/(x**2+1),x)","\int \frac{\sqrt{x^{4} + 6 x^{2} + 1}}{x \left(x^{2} + 1\right)}\, dx"," ",0,"Integral(sqrt(x**4 + 6*x**2 + 1)/(x*(x**2 + 1)), x)","F",0
1114,0,0,0,0.000000," ","integrate((x**2-1)*(2*x**4+2*x**2-1)**(1/4)/x**2/(2*x**2-1),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \sqrt[4]{2 x^{4} + 2 x^{2} - 1}}{x^{2} \left(2 x^{2} - 1\right)}\, dx"," ",0,"Integral((x - 1)*(x + 1)*(2*x**4 + 2*x**2 - 1)**(1/4)/(x**2*(2*x**2 - 1)), x)","F",0
1115,0,0,0,0.000000," ","integrate(1/(a*x**4+b)**(1/4)/(a*x**4+2*b),x)","\int \frac{1}{\sqrt[4]{a x^{4} + b} \left(a x^{4} + 2 b\right)}\, dx"," ",0,"Integral(1/((a*x**4 + b)**(1/4)*(a*x**4 + 2*b)), x)","F",0
1116,0,0,0,0.000000," ","integrate((a*x**4-b*x**2)**(1/4)/x**2,x)","\int \frac{\sqrt[4]{x^{2} \left(a x^{2} - b\right)}}{x^{2}}\, dx"," ",0,"Integral((x**2*(a*x**2 - b))**(1/4)/x**2, x)","F",0
1117,0,0,0,0.000000," ","integrate(1/(a*x**4-b*x**2)**(1/4)/(b*x**8+a),x)","\int \frac{1}{\sqrt[4]{x^{2} \left(a x^{2} - b\right)} \left(a + b x^{8}\right)}\, dx"," ",0,"Integral(1/((x**2*(a*x**2 - b))**(1/4)*(a + b*x**8)), x)","F",0
1118,0,0,0,0.000000," ","integrate(1/(a*x**4-b*x**2)**(1/4)/(b*x**8+a),x)","\int \frac{1}{\sqrt[4]{x^{2} \left(a x^{2} - b\right)} \left(a + b x^{8}\right)}\, dx"," ",0,"Integral(1/((x**2*(a*x**2 - b))**(1/4)*(a + b*x**8)), x)","F",0
1119,0,0,0,0.000000," ","integrate((-1+x)*(x+(1+x)**(1/2))**(1/2)/(1+x)**(1/2),x)","\int \frac{\left(x - 1\right) \sqrt{x + \sqrt{x + 1}}}{\sqrt{x + 1}}\, dx"," ",0,"Integral((x - 1)*sqrt(x + sqrt(x + 1))/sqrt(x + 1), x)","F",0
1120,0,0,0,0.000000," ","integrate(x*(x+(1+x)**(1/2))**(1/2)/(1+x)**(1/2),x)","\int \frac{x \sqrt{x + \sqrt{x + 1}}}{\sqrt{x + 1}}\, dx"," ",0,"Integral(x*sqrt(x + sqrt(x + 1))/sqrt(x + 1), x)","F",0
1121,0,0,0,0.000000," ","integrate((1+x)**(1/2)*(x+(1+x)**(1/2))**(1/2),x)","\int \sqrt{x + 1} \sqrt{x + \sqrt{x + 1}}\, dx"," ",0,"Integral(sqrt(x + 1)*sqrt(x + sqrt(x + 1)), x)","F",0
1122,1,107,0,0.548413," ","integrate((1+(x**2+1)**(1/2))/(x+(x**2+1)**(1/2))**(1/2),x)","\frac{2 x^{2}}{15 \sqrt{x + \sqrt{x^{2} + 1}}} + \frac{8 x \sqrt{x^{2} + 1}}{15 \sqrt{x + \sqrt{x^{2} + 1}}} + \frac{4 x}{3 \sqrt{x + \sqrt{x^{2} + 1}}} + \frac{2 \sqrt{x^{2} + 1}}{3 \sqrt{x + \sqrt{x^{2} + 1}}} - \frac{14}{15 \sqrt{x + \sqrt{x^{2} + 1}}}"," ",0,"2*x**2/(15*sqrt(x + sqrt(x**2 + 1))) + 8*x*sqrt(x**2 + 1)/(15*sqrt(x + sqrt(x**2 + 1))) + 4*x/(3*sqrt(x + sqrt(x**2 + 1))) + 2*sqrt(x**2 + 1)/(3*sqrt(x + sqrt(x**2 + 1))) - 14/(15*sqrt(x + sqrt(x**2 + 1)))","A",0
1123,-2,0,0,0.000000," ","integrate(((x**2-4*x+1)**(1/2)+(x**2-4*x+1)**(3/2))/((x**2-4*x+1)**(1/2)+(x**2-4*x+1)**(3/2)-(x**2-4*x+1)**(5/2)),x)","\text{Exception raised: SympifyError}"," ",0,"Exception raised: SympifyError","F(-2)",0
1124,0,0,0,0.000000," ","integrate(x**2/(a**2*x**2-b*x)**(1/2)/(a*x**2+x*(a**2*x**2-b*x)**(1/2))**(3/2),x)","\int \frac{x^{2}}{\left(x \left(a x + \sqrt{a^{2} x^{2} - b x}\right)\right)^{\frac{3}{2}} \sqrt{x \left(a^{2} x - b\right)}}\, dx"," ",0,"Integral(x**2/((x*(a*x + sqrt(a**2*x**2 - b*x)))**(3/2)*sqrt(x*(a**2*x - b))), x)","F",0
1125,-1,0,0,0.000000," ","integrate((a**2*b-a*(2*a+b)*x+3*a*x**2-x**3)/x/(-b+x)/(x*(-a+x)*(-b+x))**(1/2)/(a+(-b*d-1)*x+d*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1126,1,36,0,0.836652," ","integrate((x**3+1)**(2/3)/x,x)","- \frac{x^{2} \Gamma\left(- \frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, - \frac{2}{3} \\ \frac{1}{3} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{3}}} \right)}}{3 \Gamma\left(\frac{1}{3}\right)}"," ",0,"-x**2*gamma(-2/3)*hyper((-2/3, -2/3), (1/3,), exp_polar(I*pi)/x**3)/(3*gamma(1/3))","C",0
1127,0,0,0,0.000000," ","integrate((2*a*x**2-b)*(a*x**4+b*x**2)**(1/4)/(a*x**2+b),x)","\int \frac{\sqrt[4]{x^{2} \left(a x^{2} + b\right)} \left(2 a x^{2} - b\right)}{a x^{2} + b}\, dx"," ",0,"Integral((x**2*(a*x**2 + b))**(1/4)*(2*a*x**2 - b)/(a*x**2 + b), x)","F",0
1128,-1,0,0,0.000000," ","integrate((x**4-1)*(x**4+x**2+1)**(1/2)*(x**8+x**6+3*x**4+x**2+1)/(x**4+1)**3/(x**4-x**2+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1129,-1,0,0,0.000000," ","integrate((x**6+1)*(x**6+x**3-1)*(x**12+1)**(1/2)/x**7/(x**6-x**3-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1130,0,0,0,0.000000," ","integrate((d+c*(a*x+b)**(1/2))**(1/2),x)","\int \sqrt{c \sqrt{a x + b} + d}\, dx"," ",0,"Integral(sqrt(c*sqrt(a*x + b) + d), x)","F",0
1131,1,41,0,7.385754," ","integrate((2*x**2+1)/x/(x**2+1)**(2/3),x)","3 \sqrt[3]{x^{2} + 1} - \frac{\Gamma\left(\frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{2}{3}, \frac{2}{3} \\ \frac{5}{3} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{2}}} \right)}}{2 x^{\frac{4}{3}} \Gamma\left(\frac{5}{3}\right)}"," ",0,"3*(x**2 + 1)**(1/3) - gamma(2/3)*hyper((2/3, 2/3), (5/3,), exp_polar(I*pi)/x**2)/(2*x**(4/3)*gamma(5/3))","C",0
1132,0,0,0,0.000000," ","integrate(x/((1-x)*x*(-k**2*x+1))**(1/2)/(k**2*x**2-1),x)","\int \frac{x}{\sqrt{x \left(x - 1\right) \left(k^{2} x - 1\right)} \left(k x - 1\right) \left(k x + 1\right)}\, dx"," ",0,"Integral(x/(sqrt(x*(x - 1)*(k**2*x - 1))*(k*x - 1)*(k*x + 1)), x)","F",0
1133,0,0,0,0.000000," ","integrate((1+x)/(x**2+2*x-1)/(x**3-x)**(1/2),x)","\int \frac{x + 1}{\sqrt{x \left(x - 1\right) \left(x + 1\right)} \left(x^{2} + 2 x - 1\right)}\, dx"," ",0,"Integral((x + 1)/(sqrt(x*(x - 1)*(x + 1))*(x**2 + 2*x - 1)), x)","F",0
1134,0,0,0,0.000000," ","integrate((x**2-x)/(x**2+2*x-1)/(x**3-x)**(1/2),x)","\int \frac{x \left(x - 1\right)}{\sqrt{x \left(x - 1\right) \left(x + 1\right)} \left(x^{2} + 2 x - 1\right)}\, dx"," ",0,"Integral(x*(x - 1)/(sqrt(x*(x - 1)*(x + 1))*(x**2 + 2*x - 1)), x)","F",0
1135,0,0,0,0.000000," ","integrate((x**2+3)/(x**2+1)**(1/3)/(x**3+x**2+1),x)","\int \frac{x^{2} + 3}{\sqrt[3]{x^{2} + 1} \left(x^{3} + x^{2} + 1\right)}\, dx"," ",0,"Integral((x**2 + 3)/((x**2 + 1)**(1/3)*(x**3 + x**2 + 1)), x)","F",0
1136,0,0,0,0.000000," ","integrate(x/(x**3-1)/(2*x**3-1)**(2/3),x)","\int \frac{x}{\left(x - 1\right) \left(2 x^{3} - 1\right)^{\frac{2}{3}} \left(x^{2} + x + 1\right)}\, dx"," ",0,"Integral(x/((x - 1)*(2*x**3 - 1)**(2/3)*(x**2 + x + 1)), x)","F",0
1137,-1,0,0,0.000000," ","integrate((-1-2*(-1+k)*x+k*x**2)*(k**2*x**2-2*k*x+1)/((1-x)*x*(-k*x+1))**(3/4)/(-d+(3*d*k+1)*x-(3*d*k**2+1)*x**2+d*k**3*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1138,0,0,0,0.000000," ","integrate((x**4-1)/(x**3-x)**(1/2)/(x**4+1),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}{\sqrt{x \left(x - 1\right) \left(x + 1\right)} \left(x^{4} + 1\right)}\, dx"," ",0,"Integral((x - 1)*(x + 1)*(x**2 + 1)/(sqrt(x*(x - 1)*(x + 1))*(x**4 + 1)), x)","F",0
1139,0,0,0,0.000000," ","integrate((x**2-1)/(x**2+x+1)/(x**4+x**2)**(1/3),x)","\int \frac{\left(x - 1\right) \left(x + 1\right)}{\sqrt[3]{x^{2} \left(x^{2} + 1\right)} \left(x^{2} + x + 1\right)}\, dx"," ",0,"Integral((x - 1)*(x + 1)/((x**2*(x**2 + 1))**(1/3)*(x**2 + x + 1)), x)","F",0
1140,1,114,0,3.256024," ","integrate((a*x**4-2*b)*(a*x**4+b)**(3/4)/x**8,x)","- \frac{a^{\frac{7}{4}} \left(1 + \frac{b}{a x^{4}}\right)^{\frac{3}{4}} \Gamma\left(- \frac{7}{4}\right)}{2 \Gamma\left(- \frac{3}{4}\right)} - \frac{a^{\frac{3}{4}} b \left(1 + \frac{b}{a x^{4}}\right)^{\frac{3}{4}} \Gamma\left(- \frac{7}{4}\right)}{2 x^{4} \Gamma\left(- \frac{3}{4}\right)} + \frac{a b^{\frac{3}{4}} \Gamma\left(- \frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, - \frac{3}{4} \\ \frac{1}{4} \end{matrix}\middle| {\frac{a x^{4} e^{i \pi}}{b}} \right)}}{4 x^{3} \Gamma\left(\frac{1}{4}\right)}"," ",0,"-a**(7/4)*(1 + b/(a*x**4))**(3/4)*gamma(-7/4)/(2*gamma(-3/4)) - a**(3/4)*b*(1 + b/(a*x**4))**(3/4)*gamma(-7/4)/(2*x**4*gamma(-3/4)) + a*b**(3/4)*gamma(-3/4)*hyper((-3/4, -3/4), (1/4,), a*x**4*exp_polar(I*pi)/b)/(4*x**3*gamma(1/4))","C",0
1141,1,209,0,3.437952," ","integrate((a*x**4-b)**(3/4)*(2*a*x**4-b)/x**8,x)","\frac{a b^{\frac{3}{4}} e^{\frac{3 i \pi}{4}} \Gamma\left(- \frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, - \frac{3}{4} \\ \frac{1}{4} \end{matrix}\middle| {\frac{a x^{4}}{b}} \right)}}{2 x^{3} \Gamma\left(\frac{1}{4}\right)} - b \left(\begin{cases} \frac{a^{\frac{7}{4}} \left(-1 + \frac{b}{a x^{4}}\right)^{\frac{3}{4}} e^{- \frac{i \pi}{4}} \Gamma\left(- \frac{7}{4}\right)}{4 b \Gamma\left(- \frac{3}{4}\right)} - \frac{a^{\frac{3}{4}} \left(-1 + \frac{b}{a x^{4}}\right)^{\frac{3}{4}} e^{- \frac{i \pi}{4}} \Gamma\left(- \frac{7}{4}\right)}{4 x^{4} \Gamma\left(- \frac{3}{4}\right)} & \text{for}\: \left|{\frac{b}{a x^{4}}}\right| > 1 \\- \frac{a^{\frac{7}{4}} \left(1 - \frac{b}{a x^{4}}\right)^{\frac{3}{4}} \Gamma\left(- \frac{7}{4}\right)}{4 b \Gamma\left(- \frac{3}{4}\right)} + \frac{a^{\frac{3}{4}} \left(1 - \frac{b}{a x^{4}}\right)^{\frac{3}{4}} \Gamma\left(- \frac{7}{4}\right)}{4 x^{4} \Gamma\left(- \frac{3}{4}\right)} & \text{otherwise} \end{cases}\right)"," ",0,"a*b**(3/4)*exp(3*I*pi/4)*gamma(-3/4)*hyper((-3/4, -3/4), (1/4,), a*x**4/b)/(2*x**3*gamma(1/4)) - b*Piecewise((a**(7/4)*(-1 + b/(a*x**4))**(3/4)*exp(-I*pi/4)*gamma(-7/4)/(4*b*gamma(-3/4)) - a**(3/4)*(-1 + b/(a*x**4))**(3/4)*exp(-I*pi/4)*gamma(-7/4)/(4*x**4*gamma(-3/4)), Abs(b/(a*x**4)) > 1), (-a**(7/4)*(1 - b/(a*x**4))**(3/4)*gamma(-7/4)/(4*b*gamma(-3/4)) + a**(3/4)*(1 - b/(a*x**4))**(3/4)*gamma(-7/4)/(4*x**4*gamma(-3/4)), True))","C",0
1142,1,223,0,5.448987," ","integrate((p*x**2-q)*(a*p*x**2+a*q+b*x)*(p**2*x**4+q**2)**(1/2)/x**4,x)","\frac{a p^{2} q x \Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{1}{4} \\ \frac{5}{4} \end{matrix}\middle| {\frac{p^{2} x^{4} e^{i \pi}}{q^{2}}} \right)}}{4 \Gamma\left(\frac{5}{4}\right)} - \frac{a q^{3} \Gamma\left(- \frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, - \frac{1}{2} \\ \frac{1}{4} \end{matrix}\middle| {\frac{p^{2} x^{4} e^{i \pi}}{q^{2}}} \right)}}{4 x^{3} \Gamma\left(\frac{1}{4}\right)} + \frac{b p^{2} x^{2}}{2 \sqrt{\frac{p^{2} x^{4}}{q^{2}} + 1}} + \frac{b p^{2} x^{2}}{2 \sqrt{1 + \frac{q^{2}}{p^{2} x^{4}}}} - \frac{b p q \operatorname{asinh}{\left(\frac{q}{p x^{2}} \right)}}{2} - \frac{b p q \operatorname{asinh}{\left(\frac{p x^{2}}{q} \right)}}{2} + \frac{b q^{2}}{2 x^{2} \sqrt{\frac{p^{2} x^{4}}{q^{2}} + 1}} + \frac{b q^{2}}{2 x^{2} \sqrt{1 + \frac{q^{2}}{p^{2} x^{4}}}}"," ",0,"a*p**2*q*x*gamma(1/4)*hyper((-1/2, 1/4), (5/4,), p**2*x**4*exp_polar(I*pi)/q**2)/(4*gamma(5/4)) - a*q**3*gamma(-3/4)*hyper((-3/4, -1/2), (1/4,), p**2*x**4*exp_polar(I*pi)/q**2)/(4*x**3*gamma(1/4)) + b*p**2*x**2/(2*sqrt(p**2*x**4/q**2 + 1)) + b*p**2*x**2/(2*sqrt(1 + q**2/(p**2*x**4))) - b*p*q*asinh(q/(p*x**2))/2 - b*p*q*asinh(p*x**2/q)/2 + b*q**2/(2*x**2*sqrt(p**2*x**4/q**2 + 1)) + b*q**2/(2*x**2*sqrt(1 + q**2/(p**2*x**4)))","C",0
1143,0,0,0,0.000000," ","integrate((2*x**3-1)/(x**3+x+1)/(x**5+x**2)**(1/3),x)","\int \frac{2 x^{3} - 1}{\sqrt[3]{x^{2} \left(x + 1\right) \left(x^{2} - x + 1\right)} \left(x^{3} + x + 1\right)}\, dx"," ",0,"Integral((2*x**3 - 1)/((x**2*(x + 1)*(x**2 - x + 1))**(1/3)*(x**3 + x + 1)), x)","F",0
1144,0,0,0,0.000000," ","integrate((3*x**5+2)/(x**5+x**2-1)/(x**6-x)**(1/3),x)","\int \frac{3 x^{5} + 2}{\sqrt[3]{x \left(x - 1\right) \left(x^{4} + x^{3} + x^{2} + x + 1\right)} \left(x^{5} + x^{2} - 1\right)}\, dx"," ",0,"Integral((3*x**5 + 2)/((x*(x - 1)*(x**4 + x**3 + x**2 + x + 1))**(1/3)*(x**5 + x**2 - 1)), x)","F",0
1145,0,0,0,0.000000," ","integrate((x**6-1)**(1/2)*(2*x**6-1)**2/x**4/(4*x**6-1),x)","\int \frac{\sqrt{\left(x - 1\right) \left(x + 1\right) \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)} \left(2 x^{6} - 1\right)^{2}}{x^{4} \left(2 x^{3} - 1\right) \left(2 x^{3} + 1\right)}\, dx"," ",0,"Integral(sqrt((x - 1)*(x + 1)*(x**2 - x + 1)*(x**2 + x + 1))*(2*x**6 - 1)**2/(x**4*(2*x**3 - 1)*(2*x**3 + 1)), x)","F",0
1146,0,0,0,0.000000," ","integrate((x**4+1)/(x**4-1)**(1/4)/(x**8+x**4+1),x)","\int \frac{x^{4} + 1}{\sqrt[4]{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)} \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right) \left(x^{4} - x^{2} + 1\right)}\, dx"," ",0,"Integral((x**4 + 1)/(((x - 1)*(x + 1)*(x**2 + 1))**(1/4)*(x**2 - x + 1)*(x**2 + x + 1)*(x**4 - x**2 + 1)), x)","F",0
1147,-1,0,0,0.000000," ","integrate((2*x**4-1)/(x**4-1)**(1/4)/(2*x**8-x**4-2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1148,0,0,0,0.000000," ","integrate((2*x**8+x**4-1)/(x**4-1)**(1/4)/(x**8-x**4+1),x)","\int \frac{\left(x^{4} + 1\right) \left(2 x^{4} - 1\right)}{\sqrt[4]{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)} \left(x^{8} - x^{4} + 1\right)}\, dx"," ",0,"Integral((x**4 + 1)*(2*x**4 - 1)/(((x - 1)*(x + 1)*(x**2 + 1))**(1/4)*(x**8 - x**4 + 1)), x)","F",0
1149,0,0,0,0.000000," ","integrate(1/(a*x**4+b*x**2)**(1/4)/(a*x**8-2*b),x)","\int \frac{1}{\sqrt[4]{x^{2} \left(a x^{2} + b\right)} \left(a x^{8} - 2 b\right)}\, dx"," ",0,"Integral(1/((x**2*(a*x**2 + b))**(1/4)*(a*x**8 - 2*b)), x)","F",0
1150,0,0,0,0.000000," ","integrate(1/(a*x**4+b*x**2)**(1/4)/(a*x**8-2*b),x)","\int \frac{1}{\sqrt[4]{x^{2} \left(a x^{2} + b\right)} \left(a x^{8} - 2 b\right)}\, dx"," ",0,"Integral(1/((x**2*(a*x**2 + b))**(1/4)*(a*x**8 - 2*b)), x)","F",0
1151,-1,0,0,0.000000," ","integrate((x**5+4)*(2*x**5+x**4-2)**(1/4)*(2*x**10+x**8-4*x**5+2)/x**10/(x**5-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1152,0,0,0,0.000000," ","integrate((x**12+1)/(x**4+1)**(1/2)/(x**12-1),x)","\int \frac{\sqrt{x^{4} + 1} \left(x^{8} - x^{4} + 1\right)}{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right) \left(x^{4} - x^{2} + 1\right)}\, dx"," ",0,"Integral(sqrt(x**4 + 1)*(x**8 - x**4 + 1)/((x - 1)*(x + 1)*(x**2 + 1)*(x**2 - x + 1)*(x**2 + x + 1)*(x**4 - x**2 + 1)), x)","F",0
1153,-1,0,0,0.000000," ","integrate((-x**6+1)**(1/2)*(2*x**6+1)*(x**12-x**8-2*x**6-x**4+x**2+1)/(x**6-1)/(x**18-3*x**12+2*x**6-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1154,0,0,0,0.000000," ","integrate((x**2-(x**2+1)**(1/2))/(1+(x**2+1)**(1/2))**(1/2),x)","\int \frac{x^{2} - \sqrt{x^{2} + 1}}{\sqrt{\sqrt{x^{2} + 1} + 1}}\, dx"," ",0,"Integral((x**2 - sqrt(x**2 + 1))/sqrt(sqrt(x**2 + 1) + 1), x)","F",0
1155,0,0,0,0.000000," ","integrate(1/(-1+x)/(x**2-2*x+2)**(1/3),x)","\int \frac{1}{\left(x - 1\right) \sqrt[3]{x^{2} - 2 x + 2}}\, dx"," ",0,"Integral(1/((x - 1)*(x**2 - 2*x + 2)**(1/3)), x)","F",0
1156,0,0,0,0.000000," ","integrate(1/(1+x)/(x**2+2*x+2)**(1/3),x)","\int \frac{1}{\left(x + 1\right) \sqrt[3]{x^{2} + 2 x + 2}}\, dx"," ",0,"Integral(1/((x + 1)*(x**2 + 2*x + 2)**(1/3)), x)","F",0
1157,1,37,0,0.872768," ","integrate((x**3-1)**(2/3)/x,x)","- \frac{x^{2} \Gamma\left(- \frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, - \frac{2}{3} \\ \frac{1}{3} \end{matrix}\middle| {\frac{e^{2 i \pi}}{x^{3}}} \right)}}{3 \Gamma\left(\frac{1}{3}\right)}"," ",0,"-x**2*gamma(-2/3)*hyper((-2/3, -2/3), (1/3,), exp_polar(2*I*pi)/x**3)/(3*gamma(1/3))","C",0
1158,0,0,0,0.000000," ","integrate((x**2+3)/(x**2+1)**(1/3)/(x**3-x**2-1),x)","\int \frac{x^{2} + 3}{\sqrt[3]{x^{2} + 1} \left(x^{3} - x^{2} - 1\right)}\, dx"," ",0,"Integral((x**2 + 3)/((x**2 + 1)**(1/3)*(x**3 - x**2 - 1)), x)","F",0
1159,-1,0,0,0.000000," ","integrate((-2-(-1+k)*(1+k)*x+2*k**2*x**2)/((-x**2+1)*(-k**2*x**2+1))**(1/4)/(-1+d-(3+d)*x-(d*k**2+3)*x**2+(d*k**2-1)*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1160,-1,0,0,0.000000," ","integrate((-2+(-1+k)*(1+k)*x+2*k**2*x**2)/((-x**2+1)*(-k**2*x**2+1))**(1/4)/(1-d-(3+d)*x+(d*k**2+3)*x**2+(d*k**2-1)*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1161,1,36,0,0.831539," ","integrate((x**4-1)**(1/4)/x,x)","- \frac{x \Gamma\left(- \frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{4}, - \frac{1}{4} \\ \frac{3}{4} \end{matrix}\middle| {\frac{e^{2 i \pi}}{x^{4}}} \right)}}{4 \Gamma\left(\frac{3}{4}\right)}"," ",0,"-x*gamma(-1/4)*hyper((-1/4, -1/4), (3/4,), exp_polar(2*I*pi)/x**4)/(4*gamma(3/4))","C",0
1162,0,0,0,0.000000," ","integrate((x**4-x)**(1/2)/(a*x**3-b),x)","\int \frac{\sqrt{x \left(x - 1\right) \left(x^{2} + x + 1\right)}}{a x^{3} - b}\, dx"," ",0,"Integral(sqrt(x*(x - 1)*(x**2 + x + 1))/(a*x**3 - b), x)","F",0
1163,0,0,0,0.000000," ","integrate(1/(x**4-1)/(x**4-x**2)**(1/4),x)","\int \frac{1}{\sqrt[4]{x^{2} \left(x - 1\right) \left(x + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}\, dx"," ",0,"Integral(1/((x**2*(x - 1)*(x + 1))**(1/4)*(x - 1)*(x + 1)*(x**2 + 1)), x)","F",0
1164,0,0,0,0.000000," ","integrate((x**4-x**3)**(1/4)/(x**2-2*x-1),x)","\int \frac{\sqrt[4]{x^{3} \left(x - 1\right)}}{x^{2} - 2 x - 1}\, dx"," ",0,"Integral((x**3*(x - 1))**(1/4)/(x**2 - 2*x - 1), x)","F",0
1165,0,0,0,0.000000," ","integrate((x**4-x**3)**(1/4)/(x**2-2*x-1),x)","\int \frac{\sqrt[4]{x^{3} \left(x - 1\right)}}{x^{2} - 2 x - 1}\, dx"," ",0,"Integral((x**3*(x - 1))**(1/4)/(x**2 - 2*x - 1), x)","F",0
1166,1,41,0,1.089947," ","integrate(x**6/(a*x**4-b)**(3/4),x)","- \frac{x^{7} e^{\frac{i \pi}{4}} \Gamma\left(\frac{7}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{7}{4} \\ \frac{11}{4} \end{matrix}\middle| {\frac{a x^{4}}{b}} \right)}}{4 b^{\frac{3}{4}} \Gamma\left(\frac{11}{4}\right)}"," ",0,"-x**7*exp(I*pi/4)*gamma(7/4)*hyper((3/4, 7/4), (11/4,), a*x**4/b)/(4*b**(3/4)*gamma(11/4))","C",0
1167,1,83,0,3.164473," ","integrate((a*x**4-b)*(a*x**4+b)**(1/4)/x**2,x)","\frac{a \sqrt[4]{b} x^{3} \Gamma\left(\frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{4}, \frac{3}{4} \\ \frac{7}{4} \end{matrix}\middle| {\frac{a x^{4} e^{i \pi}}{b}} \right)}}{4 \Gamma\left(\frac{7}{4}\right)} - \frac{b^{\frac{5}{4}} \Gamma\left(- \frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{4}, - \frac{1}{4} \\ \frac{3}{4} \end{matrix}\middle| {\frac{a x^{4} e^{i \pi}}{b}} \right)}}{4 x \Gamma\left(\frac{3}{4}\right)}"," ",0,"a*b**(1/4)*x**3*gamma(3/4)*hyper((-1/4, 3/4), (7/4,), a*x**4*exp_polar(I*pi)/b)/(4*gamma(7/4)) - b**(5/4)*gamma(-1/4)*hyper((-1/4, -1/4), (3/4,), a*x**4*exp_polar(I*pi)/b)/(4*x*gamma(3/4))","C",0
1168,-1,0,0,0.000000," ","integrate((x**3-1)**(2/3)*(x**3+2)/x**6/(x**6-2*x**3-4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1169,-1,0,0,0.000000," ","integrate((x**3-1)**(2/3)*(x**3+2)/x**6/(x**6-2*x**3-4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1170,-1,0,0,0.000000," ","integrate((x**3-1)**(2/3)*(x**6-2*x**3+4)/x**6/(x**6+4*x**3-8),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1171,-1,0,0,0.000000," ","integrate((x**3-1)**(2/3)*(x**6-2*x**3+4)/x**6/(x**6+4*x**3-8),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1172,-1,0,0,0.000000," ","integrate((x**3-1)**(2/3)*(x**6-2*x**3+2)/x**6/(x**6+4*x**3-4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1173,-1,0,0,0.000000," ","integrate((x**3-1)**(2/3)*(x**6-2*x**3+2)/x**6/(x**6+4*x**3-4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1174,0,0,0,0.000000," ","integrate((x**4+2)/(x**4-1)**(1/4)/(x**8-2),x)","\int \frac{x^{4} + 2}{\sqrt[4]{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)} \left(x^{8} - 2\right)}\, dx"," ",0,"Integral((x**4 + 2)/(((x - 1)*(x + 1)*(x**2 + 1))**(1/4)*(x**8 - 2)), x)","F",0
1175,1,105,0,2.318041," ","integrate((a*x**8-b)/x**6/(a*x**4+b)**(3/4),x)","- \frac{a^{\frac{5}{4}} \sqrt[4]{1 + \frac{b}{a x^{4}}} \Gamma\left(- \frac{5}{4}\right)}{4 b \Gamma\left(\frac{3}{4}\right)} + \frac{\sqrt[4]{a} \sqrt[4]{1 + \frac{b}{a x^{4}}} \Gamma\left(- \frac{5}{4}\right)}{16 x^{4} \Gamma\left(\frac{3}{4}\right)} + \frac{a x^{3} \Gamma\left(\frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{3}{4} \\ \frac{7}{4} \end{matrix}\middle| {\frac{a x^{4} e^{i \pi}}{b}} \right)}}{4 b^{\frac{3}{4}} \Gamma\left(\frac{7}{4}\right)}"," ",0,"-a**(5/4)*(1 + b/(a*x**4))**(1/4)*gamma(-5/4)/(4*b*gamma(3/4)) + a**(1/4)*(1 + b/(a*x**4))**(1/4)*gamma(-5/4)/(16*x**4*gamma(3/4)) + a*x**3*gamma(3/4)*hyper((3/4, 3/4), (7/4,), a*x**4*exp_polar(I*pi)/b)/(4*b**(3/4)*gamma(7/4))","C",0
1176,0,0,0,0.000000," ","integrate(x**(1/2)/(-1+x)/(-x**(1/2)+x)**(1/2),x)","\int \frac{\sqrt{x}}{\sqrt{- \sqrt{x} + x} \left(x - 1\right)}\, dx"," ",0,"Integral(sqrt(x)/(sqrt(-sqrt(x) + x)*(x - 1)), x)","F",0
1177,1,32,0,0.917722," ","integrate(1/x**3/(x**2+1)**(2/3),x)","- \frac{\Gamma\left(\frac{5}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{2}{3}, \frac{5}{3} \\ \frac{8}{3} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{2}}} \right)}}{2 x^{\frac{10}{3}} \Gamma\left(\frac{8}{3}\right)}"," ",0,"-gamma(5/3)*hyper((2/3, 5/3), (8/3,), exp_polar(I*pi)/x**2)/(2*x**(10/3)*gamma(8/3))","C",0
1178,1,34,0,0.900057," ","integrate((x**2+1)**(2/3)/x**3,x)","- \frac{\Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{2}}} \right)}}{2 x^{\frac{2}{3}} \Gamma\left(\frac{4}{3}\right)}"," ",0,"-gamma(1/3)*hyper((-2/3, 1/3), (4/3,), exp_polar(I*pi)/x**2)/(2*x**(2/3)*gamma(4/3))","C",0
1179,1,37,0,0.812098," ","integrate((x**2+1)**(2/3)/x,x)","- \frac{x^{\frac{4}{3}} \Gamma\left(- \frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, - \frac{2}{3} \\ \frac{1}{3} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{2}}} \right)}}{2 \Gamma\left(\frac{1}{3}\right)}"," ",0,"-x**(4/3)*gamma(-2/3)*hyper((-2/3, -2/3), (1/3,), exp_polar(I*pi)/x**2)/(2*gamma(1/3))","C",0
1180,-1,0,0,0.000000," ","integrate((3+4*x)*(-2*x**4+2*x**2+x)**(1/2)/(1+2*x)/(x**3+2*x+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1181,1,37,0,0.832046," ","integrate((x**4+1)**(2/3)/x,x)","- \frac{x^{\frac{8}{3}} \Gamma\left(- \frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, - \frac{2}{3} \\ \frac{1}{3} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{4}}} \right)}}{4 \Gamma\left(\frac{1}{3}\right)}"," ",0,"-x**(8/3)*gamma(-2/3)*hyper((-2/3, -2/3), (1/3,), exp_polar(I*pi)/x**4)/(4*gamma(1/3))","C",0
1182,-1,0,0,0.000000," ","integrate((x**4-1)**(1/3)*(x**4+3)/x**2/(x**4-x**3-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1183,-1,0,0,0.000000," ","integrate(x**2*(x**3+4)/(x**3+1)**(3/4)/(x**4+x**3+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1184,0,0,0,0.000000," ","integrate(x**2/(a*x**4-b)**(3/4)/(a*x**4+b),x)","\int \frac{x^{2}}{\left(a x^{4} - b\right)^{\frac{3}{4}} \left(a x^{4} + b\right)}\, dx"," ",0,"Integral(x**2/((a*x**4 - b)**(3/4)*(a*x**4 + b)), x)","F",0
1185,0,0,0,0.000000," ","integrate(1/(a*x**4-b)**(1/4)/(a*x**4+b),x)","\int \frac{1}{\sqrt[4]{a x^{4} - b} \left(a x^{4} + b\right)}\, dx"," ",0,"Integral(1/((a*x**4 - b)**(1/4)*(a*x**4 + b)), x)","F",0
1186,-1,0,0,0.000000," ","integrate((-a**2*b+a*(2*a+b)*x-3*a*x**2+x**3)/(x*(-a+x)*(-b+x))**(1/2)/(-a**2+2*a*x+(b**2*d-1)*x**2-2*b*d*x**3+d*x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1187,0,0,0,0.000000," ","integrate((k**2*x**4+1)/((-x**2+1)*(-k**2*x**2+1))**(1/2)/(k**2*x**4-1),x)","\int \frac{k^{2} x^{4} + 1}{\sqrt{\left(x - 1\right) \left(x + 1\right) \left(k x - 1\right) \left(k x + 1\right)} \left(k x^{2} - 1\right) \left(k x^{2} + 1\right)}\, dx"," ",0,"Integral((k**2*x**4 + 1)/(sqrt((x - 1)*(x + 1)*(k*x - 1)*(k*x + 1))*(k*x**2 - 1)*(k*x**2 + 1)), x)","F",0
1188,-1,0,0,0.000000," ","integrate(x*(k*x-1)*(-1+(-1+2*k)*x)/((1-x)*x*(-k*x+1))**(1/3)/(-1+(4-c)*x+(c*k+b+2*c-6)*x**2+(-2*b*k-2*c*k-c+4)*x**3+(b*k**2+c*k-1)*x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1189,1,37,0,0.830544," ","integrate((x**5+1)**(2/3)/x,x)","- \frac{x^{\frac{10}{3}} \Gamma\left(- \frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, - \frac{2}{3} \\ \frac{1}{3} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{5}}} \right)}}{5 \Gamma\left(\frac{1}{3}\right)}"," ",0,"-x**(10/3)*gamma(-2/3)*hyper((-2/3, -2/3), (1/3,), exp_polar(I*pi)/x**5)/(5*gamma(1/3))","C",0
1190,1,36,0,0.808406," ","integrate((x**6+1)**(2/3)/x,x)","- \frac{x^{4} \Gamma\left(- \frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, - \frac{2}{3} \\ \frac{1}{3} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{6}}} \right)}}{6 \Gamma\left(\frac{1}{3}\right)}"," ",0,"-x**4*gamma(-2/3)*hyper((-2/3, -2/3), (1/3,), exp_polar(I*pi)/x**6)/(6*gamma(1/3))","C",0
1191,-1,0,0,0.000000," ","integrate((2*x**4-x**2+1)*(-x**6-x**4-x**2+1)**(1/2)/(x**2-1)/(x**2+1)/(x**6+x**4-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1192,0,0,0,0.000000," ","integrate((x**8-1)**(1/3)*(5*x**8+3)/x**2/(x**8-x**3-1),x)","\int \frac{\sqrt[3]{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \left(x^{4} + 1\right)} \left(5 x^{8} + 3\right)}{x^{2} \left(x^{8} - x^{3} - 1\right)}\, dx"," ",0,"Integral(((x - 1)*(x + 1)*(x**2 + 1)*(x**4 + 1))**(1/3)*(5*x**8 + 3)/(x**2*(x**8 - x**3 - 1)), x)","F",0
1193,0,0,0,0.000000," ","integrate((x**8+2)*(x**16-2*x**8+4)**(1/2)/x**9,x)","\int \frac{\left(x^{8} + 2\right) \sqrt{x^{16} - 2 x^{8} + 4}}{x^{9}}\, dx"," ",0,"Integral((x**8 + 2)*sqrt(x**16 - 2*x**8 + 4)/x**9, x)","F",0
1194,0,0,0,0.000000," ","integrate((x+(1+x)**(1/2))**(1/2)/(1-(1+x)**(1/2)),x)","- \int \frac{\sqrt{x + \sqrt{x + 1}}}{\sqrt{x + 1} - 1}\, dx"," ",0,"-Integral(sqrt(x + sqrt(x + 1))/(sqrt(x + 1) - 1), x)","F",0
1195,1,78,0,3.539281," ","integrate((c+(a*x+b)**(1/2))**(1/2)/(d-(a*x+b)**(1/2)),x)","- \frac{4 d \sqrt{c + \sqrt{a x + b}}}{a} - \frac{4 d \left(c + d\right) \operatorname{atan}{\left(\frac{\sqrt{c + \sqrt{a x + b}}}{\sqrt{- c - d}} \right)}}{a \sqrt{- c - d}} - \frac{4 \left(c + \sqrt{a x + b}\right)^{\frac{3}{2}}}{3 a}"," ",0,"-4*d*sqrt(c + sqrt(a*x + b))/a - 4*d*(c + d)*atan(sqrt(c + sqrt(a*x + b))/sqrt(-c - d))/(a*sqrt(-c - d)) - 4*(c + sqrt(a*x + b))**(3/2)/(3*a)","A",0
1196,1,581,0,3.706994," ","integrate((a*x**2+b**2)*(b+(a*x**2+b**2)**(1/2))**(1/2),x)","- \frac{15 \sqrt{2} a^{2} \sqrt{b} x^{5} \Gamma\left(- \frac{1}{4}\right) \Gamma\left(\frac{1}{4}\right)}{420 \pi b^{2} \sqrt{\frac{a x^{2}}{b^{2}} + 1} \sqrt{\sqrt{\frac{a x^{2}}{b^{2}} + 1} + 1} + 420 \pi b^{2} \sqrt{\sqrt{\frac{a x^{2}}{b^{2}} + 1} + 1}} - \frac{33 \sqrt{2} a b^{\frac{5}{2}} x^{3} \sqrt{\frac{a x^{2}}{b^{2}} + 1} \Gamma\left(- \frac{1}{4}\right) \Gamma\left(\frac{1}{4}\right)}{420 \pi b^{2} \sqrt{\frac{a x^{2}}{b^{2}} + 1} \sqrt{\sqrt{\frac{a x^{2}}{b^{2}} + 1} + 1} + 420 \pi b^{2} \sqrt{\sqrt{\frac{a x^{2}}{b^{2}} + 1} + 1}} - \frac{37 \sqrt{2} a b^{\frac{5}{2}} x^{3} \Gamma\left(- \frac{1}{4}\right) \Gamma\left(\frac{1}{4}\right)}{420 \pi b^{2} \sqrt{\frac{a x^{2}}{b^{2}} + 1} \sqrt{\sqrt{\frac{a x^{2}}{b^{2}} + 1} + 1} + 420 \pi b^{2} \sqrt{\sqrt{\frac{a x^{2}}{b^{2}} + 1} + 1}} - \frac{\sqrt{2} a b^{\frac{5}{2}} x^{3} \Gamma\left(- \frac{1}{4}\right) \Gamma\left(\frac{1}{4}\right)}{12 \pi b^{2} \sqrt{\frac{a x^{2}}{b^{2}} + 1} \sqrt{\sqrt{\frac{a x^{2}}{b^{2}} + 1} + 1} + 12 \pi b^{2} \sqrt{\sqrt{\frac{a x^{2}}{b^{2}} + 1} + 1}} - \frac{3 \sqrt{2} b^{\frac{9}{2}} x \sqrt{\frac{a x^{2}}{b^{2}} + 1} \Gamma\left(- \frac{1}{4}\right) \Gamma\left(\frac{1}{4}\right)}{12 \pi b^{2} \sqrt{\frac{a x^{2}}{b^{2}} + 1} \sqrt{\sqrt{\frac{a x^{2}}{b^{2}} + 1} + 1} + 12 \pi b^{2} \sqrt{\sqrt{\frac{a x^{2}}{b^{2}} + 1} + 1}} - \frac{3 \sqrt{2} b^{\frac{9}{2}} x \Gamma\left(- \frac{1}{4}\right) \Gamma\left(\frac{1}{4}\right)}{12 \pi b^{2} \sqrt{\frac{a x^{2}}{b^{2}} + 1} \sqrt{\sqrt{\frac{a x^{2}}{b^{2}} + 1} + 1} + 12 \pi b^{2} \sqrt{\sqrt{\frac{a x^{2}}{b^{2}} + 1} + 1}}"," ",0,"-15*sqrt(2)*a**2*sqrt(b)*x**5*gamma(-1/4)*gamma(1/4)/(420*pi*b**2*sqrt(a*x**2/b**2 + 1)*sqrt(sqrt(a*x**2/b**2 + 1) + 1) + 420*pi*b**2*sqrt(sqrt(a*x**2/b**2 + 1) + 1)) - 33*sqrt(2)*a*b**(5/2)*x**3*sqrt(a*x**2/b**2 + 1)*gamma(-1/4)*gamma(1/4)/(420*pi*b**2*sqrt(a*x**2/b**2 + 1)*sqrt(sqrt(a*x**2/b**2 + 1) + 1) + 420*pi*b**2*sqrt(sqrt(a*x**2/b**2 + 1) + 1)) - 37*sqrt(2)*a*b**(5/2)*x**3*gamma(-1/4)*gamma(1/4)/(420*pi*b**2*sqrt(a*x**2/b**2 + 1)*sqrt(sqrt(a*x**2/b**2 + 1) + 1) + 420*pi*b**2*sqrt(sqrt(a*x**2/b**2 + 1) + 1)) - sqrt(2)*a*b**(5/2)*x**3*gamma(-1/4)*gamma(1/4)/(12*pi*b**2*sqrt(a*x**2/b**2 + 1)*sqrt(sqrt(a*x**2/b**2 + 1) + 1) + 12*pi*b**2*sqrt(sqrt(a*x**2/b**2 + 1) + 1)) - 3*sqrt(2)*b**(9/2)*x*sqrt(a*x**2/b**2 + 1)*gamma(-1/4)*gamma(1/4)/(12*pi*b**2*sqrt(a*x**2/b**2 + 1)*sqrt(sqrt(a*x**2/b**2 + 1) + 1) + 12*pi*b**2*sqrt(sqrt(a*x**2/b**2 + 1) + 1)) - 3*sqrt(2)*b**(9/2)*x*gamma(-1/4)*gamma(1/4)/(12*pi*b**2*sqrt(a*x**2/b**2 + 1)*sqrt(sqrt(a*x**2/b**2 + 1) + 1) + 12*pi*b**2*sqrt(sqrt(a*x**2/b**2 + 1) + 1))","B",0
1197,0,0,0,0.000000," ","integrate(1/(x+(x+(x**2+1)**(1/2))**(1/2)),x)","\int \frac{1}{x + \sqrt{x + \sqrt{x^{2} + 1}}}\, dx"," ",0,"Integral(1/(x + sqrt(x + sqrt(x**2 + 1))), x)","F",0
1198,0,0,0,0.000000," ","integrate(1/(x+(x+(x**2+1)**(1/2))**(1/2)),x)","\int \frac{1}{x + \sqrt{x + \sqrt{x^{2} + 1}}}\, dx"," ",0,"Integral(1/(x + sqrt(x + sqrt(x**2 + 1))), x)","F",0
1199,0,0,0,0.000000," ","integrate(1/(-2+x)/(x**2-4*x-4)**(1/3),x)","\int \frac{1}{\left(x - 2\right) \sqrt[3]{x^{2} - 4 x - 4}}\, dx"," ",0,"Integral(1/((x - 2)*(x**2 - 4*x - 4)**(1/3)), x)","F",0
1200,0,0,0,0.000000," ","integrate((k*x**2-1)/(b*x+a)/((1-x)*x*(-k*x+1))**(1/2)/(a*k*x+b),x)","\int \frac{k x^{2} - 1}{\sqrt{x \left(x - 1\right) \left(k x - 1\right)} \left(a + b x\right) \left(a k x + b\right)}\, dx"," ",0,"Integral((k*x**2 - 1)/(sqrt(x*(x - 1)*(k*x - 1))*(a + b*x)*(a*k*x + b)), x)","F",0
1201,-1,0,0,0.000000," ","integrate(x*(-b+x)*(a*b-2*a*x+x**2)/(x*(-a+x)*(-b+x))**(1/2)/(-a**2+2*a*x+(b**2*d-1)*x**2-2*b*d*x**3+d*x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1202,0,0,0,0.000000," ","integrate((x**4+1)/(x**4-x**2-1)/(x**5-x)**(1/3),x)","\int \frac{x^{4} + 1}{\sqrt[3]{x \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)} \left(x^{4} - x^{2} - 1\right)}\, dx"," ",0,"Integral((x**4 + 1)/((x*(x - 1)*(x + 1)*(x**2 + 1))**(1/3)*(x**4 - x**2 - 1)), x)","F",0
1203,1,32,0,0.793971," ","integrate(x**3/(x**6-1)**(2/3),x)","\frac{x^{4} e^{- \frac{2 i \pi}{3}} \Gamma\left(\frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{2}{3}, \frac{2}{3} \\ \frac{5}{3} \end{matrix}\middle| {x^{6}} \right)}}{6 \Gamma\left(\frac{5}{3}\right)}"," ",0,"x**4*exp(-2*I*pi/3)*gamma(2/3)*hyper((2/3, 2/3), (5/3,), x**6)/(6*gamma(5/3))","C",0
1204,1,31,0,0.807825," ","integrate(x/(x**6-1)**(1/3),x)","\frac{x^{2} e^{- \frac{i \pi}{3}} \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {x^{6}} \right)}}{6 \Gamma\left(\frac{4}{3}\right)}"," ",0,"x**2*exp(-I*pi/3)*gamma(1/3)*hyper((1/3, 1/3), (4/3,), x**6)/(6*gamma(4/3))","C",0
1205,1,29,0,0.782935," ","integrate(x**3/(x**6+1)**(2/3),x)","\frac{x^{4} \Gamma\left(\frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{2}{3}, \frac{2}{3} \\ \frac{5}{3} \end{matrix}\middle| {x^{6} e^{i \pi}} \right)}}{6 \Gamma\left(\frac{5}{3}\right)}"," ",0,"x**4*gamma(2/3)*hyper((2/3, 2/3), (5/3,), x**6*exp_polar(I*pi))/(6*gamma(5/3))","C",0
1206,1,29,0,0.741289," ","integrate(x/(x**6+1)**(1/3),x)","\frac{x^{2} \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {x^{6} e^{i \pi}} \right)}}{6 \Gamma\left(\frac{4}{3}\right)}"," ",0,"x**2*gamma(1/3)*hyper((1/3, 1/3), (4/3,), x**6*exp_polar(I*pi))/(6*gamma(4/3))","C",0
1207,1,126,0,2.411747," ","integrate((a*x**8-b)/x**2/(a*x**4-b)**(3/4),x)","- \frac{a x^{7} e^{\frac{i \pi}{4}} \Gamma\left(\frac{7}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{7}{4} \\ \frac{11}{4} \end{matrix}\middle| {\frac{a x^{4}}{b}} \right)}}{4 b^{\frac{3}{4}} \Gamma\left(\frac{11}{4}\right)} - b \left(\begin{cases} - \frac{\sqrt[4]{a} \sqrt[4]{-1 + \frac{b}{a x^{4}}} e^{\frac{i \pi}{4}} \Gamma\left(- \frac{1}{4}\right)}{4 b \Gamma\left(\frac{3}{4}\right)} & \text{for}\: \left|{\frac{b}{a x^{4}}}\right| > 1 \\- \frac{\sqrt[4]{a} \sqrt[4]{1 - \frac{b}{a x^{4}}} \Gamma\left(- \frac{1}{4}\right)}{4 b \Gamma\left(\frac{3}{4}\right)} & \text{otherwise} \end{cases}\right)"," ",0,"-a*x**7*exp(I*pi/4)*gamma(7/4)*hyper((3/4, 7/4), (11/4,), a*x**4/b)/(4*b**(3/4)*gamma(11/4)) - b*Piecewise((-a**(1/4)*(-1 + b/(a*x**4))**(1/4)*exp(I*pi/4)*gamma(-1/4)/(4*b*gamma(3/4)), Abs(b/(a*x**4)) > 1), (-a**(1/4)*(1 - b/(a*x**4))**(1/4)*gamma(-1/4)/(4*b*gamma(3/4)), True))","C",0
1208,1,320,0,2.523180," ","integrate((2*a*x**8-3*b)/x**8/(a*x**4-b)**(1/4),x)","\frac{a x e^{- \frac{i \pi}{4}} \Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{4}, \frac{1}{4} \\ \frac{5}{4} \end{matrix}\middle| {\frac{a x^{4}}{b}} \right)}}{2 \sqrt[4]{b} \Gamma\left(\frac{5}{4}\right)} - 3 b \left(\begin{cases} - \frac{a^{\frac{7}{4}} \left(-1 + \frac{b}{a x^{4}}\right)^{\frac{3}{4}} e^{- \frac{i \pi}{4}} \Gamma\left(- \frac{7}{4}\right)}{4 b^{2} \Gamma\left(\frac{1}{4}\right)} - \frac{3 a^{\frac{3}{4}} \left(-1 + \frac{b}{a x^{4}}\right)^{\frac{3}{4}} e^{- \frac{i \pi}{4}} \Gamma\left(- \frac{7}{4}\right)}{16 b x^{4} \Gamma\left(\frac{1}{4}\right)} & \text{for}\: \left|{\frac{b}{a x^{4}}}\right| > 1 \\\frac{4 a^{\frac{15}{4}} x^{8} \left(1 - \frac{b}{a x^{4}}\right)^{\frac{3}{4}} \Gamma\left(- \frac{7}{4}\right)}{16 a^{2} b^{2} x^{8} \Gamma\left(\frac{1}{4}\right) - 16 a b^{3} x^{4} \Gamma\left(\frac{1}{4}\right)} - \frac{a^{\frac{11}{4}} b x^{4} \left(1 - \frac{b}{a x^{4}}\right)^{\frac{3}{4}} \Gamma\left(- \frac{7}{4}\right)}{16 a^{2} b^{2} x^{8} \Gamma\left(\frac{1}{4}\right) - 16 a b^{3} x^{4} \Gamma\left(\frac{1}{4}\right)} - \frac{3 a^{\frac{7}{4}} b^{2} \left(1 - \frac{b}{a x^{4}}\right)^{\frac{3}{4}} \Gamma\left(- \frac{7}{4}\right)}{16 a^{2} b^{2} x^{8} \Gamma\left(\frac{1}{4}\right) - 16 a b^{3} x^{4} \Gamma\left(\frac{1}{4}\right)} & \text{otherwise} \end{cases}\right)"," ",0,"a*x*exp(-I*pi/4)*gamma(1/4)*hyper((1/4, 1/4), (5/4,), a*x**4/b)/(2*b**(1/4)*gamma(5/4)) - 3*b*Piecewise((-a**(7/4)*(-1 + b/(a*x**4))**(3/4)*exp(-I*pi/4)*gamma(-7/4)/(4*b**2*gamma(1/4)) - 3*a**(3/4)*(-1 + b/(a*x**4))**(3/4)*exp(-I*pi/4)*gamma(-7/4)/(16*b*x**4*gamma(1/4)), Abs(b/(a*x**4)) > 1), (4*a**(15/4)*x**8*(1 - b/(a*x**4))**(3/4)*gamma(-7/4)/(16*a**2*b**2*x**8*gamma(1/4) - 16*a*b**3*x**4*gamma(1/4)) - a**(11/4)*b*x**4*(1 - b/(a*x**4))**(3/4)*gamma(-7/4)/(16*a**2*b**2*x**8*gamma(1/4) - 16*a*b**3*x**4*gamma(1/4)) - 3*a**(7/4)*b**2*(1 - b/(a*x**4))**(3/4)*gamma(-7/4)/(16*a**2*b**2*x**8*gamma(1/4) - 16*a*b**3*x**4*gamma(1/4)), True))","C",0
1209,0,0,0,0.000000," ","integrate((a**2*x**8-b**2)/x**2/(a*x**4+b)**(3/4)/(a**2*x**8+b**2),x)","\int \frac{\left(a x^{4} - b\right) \sqrt[4]{a x^{4} + b}}{x^{2} \left(a^{2} x^{8} + b^{2}\right)}\, dx"," ",0,"Integral((a*x**4 - b)*(a*x**4 + b)**(1/4)/(x**2*(a**2*x**8 + b**2)), x)","F",0
1210,0,0,0,0.000000," ","integrate((a*x**2+b*x*(-a/b**2+a**2*x**2/b**2)**(1/2))**(1/2)/x/(-a/b**2+a**2*x**2/b**2)**(1/2),x)","\int \frac{\sqrt{x \left(a x + b \sqrt{\frac{a^{2} x^{2}}{b^{2}} - \frac{a}{b^{2}}}\right)}}{x \sqrt{\frac{a \left(a x^{2} - 1\right)}{b^{2}}}}\, dx"," ",0,"Integral(sqrt(x*(a*x + b*sqrt(a**2*x**2/b**2 - a/b**2)))/(x*sqrt(a*(a*x**2 - 1)/b**2)), x)","F",0
1211,1,39,0,0.872073," ","integrate((x**2-1)**(2/3)/x,x)","- \frac{x^{\frac{4}{3}} \Gamma\left(- \frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, - \frac{2}{3} \\ \frac{1}{3} \end{matrix}\middle| {\frac{e^{2 i \pi}}{x^{2}}} \right)}}{2 \Gamma\left(\frac{1}{3}\right)}"," ",0,"-x**(4/3)*gamma(-2/3)*hyper((-2/3, -2/3), (1/3,), exp_polar(2*I*pi)/x**2)/(2*gamma(1/3))","C",0
1212,0,0,0,0.000000," ","integrate((-3+x)/(x**2-1)**(1/3)/(x**2+x+2),x)","\int \frac{x - 3}{\sqrt[3]{\left(x - 1\right) \left(x + 1\right)} \left(x^{2} + x + 2\right)}\, dx"," ",0,"Integral((x - 3)/(((x - 1)*(x + 1))**(1/3)*(x**2 + x + 2)), x)","F",0
1213,0,0,0,0.000000," ","integrate((x**2+2)/(x**2-2*x-2)/(x**3-1)**(1/2),x)","\int \frac{x^{2} + 2}{\sqrt{\left(x - 1\right) \left(x^{2} + x + 1\right)} \left(x^{2} - 2 x - 2\right)}\, dx"," ",0,"Integral((x**2 + 2)/(sqrt((x - 1)*(x**2 + x + 1))*(x**2 - 2*x - 2)), x)","F",0
1214,1,82,0,26.654299," ","integrate((x**3-1)*(x**3+1)**(1/3)/x,x)","\frac{\left(x^{3} + 1\right)^{\frac{4}{3}}}{4} - \sqrt[3]{x^{3} + 1} - \frac{\log{\left(\sqrt[3]{x^{3} + 1} - 1 \right)}}{3} + \frac{\log{\left(\left(x^{3} + 1\right)^{\frac{2}{3}} + \sqrt[3]{x^{3} + 1} + 1 \right)}}{6} + \frac{\sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} \left(\sqrt[3]{x^{3} + 1} + \frac{1}{2}\right)}{3} \right)}}{3}"," ",0,"(x**3 + 1)**(4/3)/4 - (x**3 + 1)**(1/3) - log((x**3 + 1)**(1/3) - 1)/3 + log((x**3 + 1)**(2/3) + (x**3 + 1)**(1/3) + 1)/6 + sqrt(3)*atan(2*sqrt(3)*((x**3 + 1)**(1/3) + 1/2)/3)/3","A",0
1215,-1,0,0,0.000000," ","integrate((-a*b+2*(a-b)*x+x**2)/(x*(-a+x)*(-b+x))**(1/4)/(-a**3+(3*a**2+b*d)*x-(3*a+d)*x**2+x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1216,-1,0,0,0.000000," ","integrate((x**2-2*x+1)*(-1+2*(-1+k)*x+k*x**2)/((1-x)*x*(-k*x+1))**(3/4)/(-d+(1+3*d)*x-(3*d+k)*x**2+d*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1217,0,0,0,0.000000," ","integrate(x**2/(x**3+x**2+x)**(1/2)/(x**4-1),x)","\int \frac{x^{2}}{\sqrt{x \left(x^{2} + x + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}\, dx"," ",0,"Integral(x**2/(sqrt(x*(x**2 + x + 1))*(x - 1)*(x + 1)*(x**2 + 1)), x)","F",0
1218,0,0,0,0.000000," ","integrate((x**3+x**2+x)**(1/2)/(x**4-1),x)","\int \frac{\sqrt{x \left(x^{2} + x + 1\right)}}{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}\, dx"," ",0,"Integral(sqrt(x*(x**2 + x + 1))/((x - 1)*(x + 1)*(x**2 + 1)), x)","F",0
1219,1,39,0,0.855164," ","integrate((x**4-1)**(2/3)/x,x)","- \frac{x^{\frac{8}{3}} \Gamma\left(- \frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, - \frac{2}{3} \\ \frac{1}{3} \end{matrix}\middle| {\frac{e^{2 i \pi}}{x^{4}}} \right)}}{4 \Gamma\left(\frac{1}{3}\right)}"," ",0,"-x**(8/3)*gamma(-2/3)*hyper((-2/3, -2/3), (1/3,), exp_polar(2*I*pi)/x**4)/(4*gamma(1/3))","C",0
1220,0,0,0,0.000000," ","integrate((x**4-x**2+1)/(x**3+x**2+x)**(1/2)/(x**4-1),x)","\int \frac{x^{4} - x^{2} + 1}{\sqrt{x \left(x^{2} + x + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x**4 - x**2 + 1)/(sqrt(x*(x**2 + x + 1))*(x - 1)*(x + 1)*(x**2 + 1)), x)","F",0
1221,0,0,0,0.000000," ","integrate((x**2-x+1)/(x**2-1)/(x**4-x**3+x**2-x+1)**(1/2),x)","\int \frac{x^{2} - x + 1}{\left(x - 1\right) \left(x + 1\right) \sqrt{x^{4} - x^{3} + x^{2} - x + 1}}\, dx"," ",0,"Integral((x**2 - x + 1)/((x - 1)*(x + 1)*sqrt(x**4 - x**3 + x**2 - x + 1)), x)","F",0
1222,-1,0,0,0.000000," ","integrate((-1+x)**2*(2*x**3-2*x**2+x)/(-1+2*x)/((1-2*x)/(2*x**2+1))**(1/2)/(2*x**4-4*x**3+3*x**2+4*x-2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1223,1,39,0,0.912517," ","integrate((x**5-1)**(2/3)/x,x)","- \frac{x^{\frac{10}{3}} \Gamma\left(- \frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, - \frac{2}{3} \\ \frac{1}{3} \end{matrix}\middle| {\frac{e^{2 i \pi}}{x^{5}}} \right)}}{5 \Gamma\left(\frac{1}{3}\right)}"," ",0,"-x**(10/3)*gamma(-2/3)*hyper((-2/3, -2/3), (1/3,), exp_polar(2*I*pi)/x**5)/(5*gamma(1/3))","C",0
1224,1,37,0,0.840017," ","integrate((x**6-1)**(2/3)/x,x)","- \frac{x^{4} \Gamma\left(- \frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, - \frac{2}{3} \\ \frac{1}{3} \end{matrix}\middle| {\frac{e^{2 i \pi}}{x^{6}}} \right)}}{6 \Gamma\left(\frac{1}{3}\right)}"," ",0,"-x**4*gamma(-2/3)*hyper((-2/3, -2/3), (1/3,), exp_polar(2*I*pi)/x**6)/(6*gamma(1/3))","C",0
1225,0,0,0,0.000000," ","integrate((a*x**2+(a**2*x**4+b)**(1/2))**(1/2),x)","\int \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}\, dx"," ",0,"Integral(sqrt(a*x**2 + sqrt(a**2*x**4 + b)), x)","F",0
1226,1,36,0,0.931801," ","integrate((x**2-1)**(2/3)/x**3,x)","- \frac{\Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {\frac{e^{2 i \pi}}{x^{2}}} \right)}}{2 x^{\frac{2}{3}} \Gamma\left(\frac{4}{3}\right)}"," ",0,"-gamma(1/3)*hyper((-2/3, 1/3), (4/3,), exp_polar(2*I*pi)/x**2)/(2*x**(2/3)*gamma(4/3))","C",0
1227,1,75,0,2.898029," ","integrate((x**2+x-2)/x**2/(x**2-1)**(3/4),x)","x e^{- \frac{3 i \pi}{4}} {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{2}, \frac{3}{4} \\ \frac{3}{2} \end{matrix}\middle| {x^{2}} \right)} - \frac{2 e^{\frac{i \pi}{4}} {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{3}{4} \\ \frac{1}{2} \end{matrix}\middle| {x^{2}} \right)}}{x} - \frac{\Gamma\left(\frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{3}{4} \\ \frac{7}{4} \end{matrix}\middle| {\frac{e^{2 i \pi}}{x^{2}}} \right)}}{2 x^{\frac{3}{2}} \Gamma\left(\frac{7}{4}\right)}"," ",0,"x*exp(-3*I*pi/4)*hyper((1/2, 3/4), (3/2,), x**2) - 2*exp(I*pi/4)*hyper((-1/2, 3/4), (1/2,), x**2)/x - gamma(3/4)*hyper((3/4, 3/4), (7/4,), exp_polar(2*I*pi)/x**2)/(2*x**(3/2)*gamma(7/4))","C",0
1228,1,32,0,0.884810," ","integrate((x**3+1)**(1/3)/x**4,x)","- \frac{\Gamma\left(\frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, \frac{2}{3} \\ \frac{5}{3} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{3}}} \right)}}{3 x^{2} \Gamma\left(\frac{5}{3}\right)}"," ",0,"-gamma(2/3)*hyper((-1/3, 2/3), (5/3,), exp_polar(I*pi)/x**3)/(3*x**2*gamma(5/3))","C",0
1229,1,31,0,0.927852," ","integrate((x**3+1)**(2/3)/x**4,x)","- \frac{\Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{3}}} \right)}}{3 x \Gamma\left(\frac{4}{3}\right)}"," ",0,"-gamma(1/3)*hyper((-2/3, 1/3), (4/3,), exp_polar(I*pi)/x**3)/(3*x*gamma(4/3))","C",0
1230,-1,0,0,0.000000," ","integrate((-2*k-(-1+k)*(1+k)*x+2*k*x**2)/((-x**2+1)*(-k**2*x**2+1))**(1/4)/(-1+d+(3+d)*k*x-(3*k**2+d)*x**2+k*(k**2-d)*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1231,-1,0,0,0.000000," ","integrate((-2*k+(-1+k)*(1+k)*x+2*k*x**2)/((-x**2+1)*(-k**2*x**2+1))**(1/4)/(1-d+(3+d)*k*x+(3*k**2+d)*x**2+k*(k**2-d)*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1232,1,230,0,5.124986," ","integrate((x**2+1)*(-2*x**4+1)**(1/2)/x**5,x)","\begin{cases} - \frac{i x^{2}}{\sqrt{2 x^{4} - 1}} + \frac{\sqrt{2} i \operatorname{acosh}{\left(\sqrt{2} x^{2} \right)}}{2} + \frac{i}{2 x^{2} \sqrt{2 x^{4} - 1}} & \text{for}\: 2 \left|{x^{4}}\right| > 1 \\\frac{x^{2}}{\sqrt{1 - 2 x^{4}}} - \frac{\sqrt{2} \operatorname{asin}{\left(\sqrt{2} x^{2} \right)}}{2} - \frac{1}{2 x^{2} \sqrt{1 - 2 x^{4}}} & \text{otherwise} \end{cases} + \begin{cases} \frac{\operatorname{acosh}{\left(\frac{\sqrt{2}}{2 x^{2}} \right)}}{2} + \frac{\sqrt{2}}{4 x^{2} \sqrt{-1 + \frac{1}{2 x^{4}}}} - \frac{\sqrt{2}}{8 x^{6} \sqrt{-1 + \frac{1}{2 x^{4}}}} & \text{for}\: \frac{1}{2 \left|{x^{4}}\right|} > 1 \\- \frac{i \operatorname{asin}{\left(\frac{\sqrt{2}}{2 x^{2}} \right)}}{2} - \frac{\sqrt{2} i}{4 x^{2} \sqrt{1 - \frac{1}{2 x^{4}}}} + \frac{\sqrt{2} i}{8 x^{6} \sqrt{1 - \frac{1}{2 x^{4}}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-I*x**2/sqrt(2*x**4 - 1) + sqrt(2)*I*acosh(sqrt(2)*x**2)/2 + I/(2*x**2*sqrt(2*x**4 - 1)), 2*Abs(x**4) > 1), (x**2/sqrt(1 - 2*x**4) - sqrt(2)*asin(sqrt(2)*x**2)/2 - 1/(2*x**2*sqrt(1 - 2*x**4)), True)) + Piecewise((acosh(sqrt(2)/(2*x**2))/2 + sqrt(2)/(4*x**2*sqrt(-1 + 1/(2*x**4))) - sqrt(2)/(8*x**6*sqrt(-1 + 1/(2*x**4))), 1/(2*Abs(x**4)) > 1), (-I*asin(sqrt(2)/(2*x**2))/2 - sqrt(2)*I/(4*x**2*sqrt(1 - 1/(2*x**4))) + sqrt(2)*I/(8*x**6*sqrt(1 - 1/(2*x**4))), True))","A",0
1233,1,34,0,1.012550," ","integrate((x**4+1)**(2/3)/x**5,x)","- \frac{\Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{4}}} \right)}}{4 x^{\frac{4}{3}} \Gamma\left(\frac{4}{3}\right)}"," ",0,"-gamma(1/3)*hyper((-2/3, 1/3), (4/3,), exp_polar(I*pi)/x**4)/(4*x**(4/3)*gamma(4/3))","C",0
1234,-1,0,0,0.000000," ","integrate((x**4-3)*(x**4+1)**(2/3)/x**3/(x**4-x**3+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1235,-1,0,0,0.000000," ","integrate((x**4-1)**(1/3)*(x**4+3)/x**2/(x**4+x**3-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1236,-1,0,0,0.000000," ","integrate((x**4-1)**(2/3)*(x**4+3)/x**3/(x**4+x**3-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1237,-1,0,0,0.000000," ","integrate((x**4-3)*(x**4+1)**(1/3)/x**2/(x**4+x**3+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1238,-1,0,0,0.000000," ","integrate((4+3*x)*(x**4-x-1)*(2*x**4-x-1)**(1/4)/x**6/(x**4+x+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1239,0,0,0,0.000000," ","integrate((3*x**4+1)**(1/2)/(3*x**4-1),x)","\int \frac{\sqrt{3 x^{4} + 1}}{3 x^{4} - 1}\, dx"," ",0,"Integral(sqrt(3*x**4 + 1)/(3*x**4 - 1), x)","F",0
1240,0,0,0,0.000000," ","integrate((a*x**2+b)*(a*x**4-b*x**2)**(1/4)/(a*x**2-b),x)","\int \frac{\sqrt[4]{x^{2} \left(a x^{2} - b\right)} \left(a x^{2} + b\right)}{a x^{2} - b}\, dx"," ",0,"Integral((x**2*(a*x**2 - b))**(1/4)*(a*x**2 + b)/(a*x**2 - b), x)","F",0
1241,0,0,0,0.000000," ","integrate((2*a*x**2-b)/(a*x**2+b)/(a*x**4+b*x**2)**(1/4),x)","\int \frac{2 a x^{2} - b}{\sqrt[4]{x^{2} \left(a x^{2} + b\right)} \left(a x^{2} + b\right)}\, dx"," ",0,"Integral((2*a*x**2 - b)/((x**2*(a*x**2 + b))**(1/4)*(a*x**2 + b)), x)","F",0
1242,1,34,0,1.025360," ","integrate((x**5+1)**(2/3)/x**6,x)","- \frac{\Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{5}}} \right)}}{5 x^{\frac{5}{3}} \Gamma\left(\frac{4}{3}\right)}"," ",0,"-gamma(1/3)*hyper((-2/3, 1/3), (4/3,), exp_polar(I*pi)/x**5)/(5*x**(5/3)*gamma(4/3))","C",0
1243,0,0,0,0.000000," ","integrate((x**5+1)**(2/3)*(2*x**5-3)/x**3/(x**5-x**3+1),x)","\int \frac{\left(\left(x + 1\right) \left(x^{4} - x^{3} + x^{2} - x + 1\right)\right)^{\frac{2}{3}} \left(2 x^{5} - 3\right)}{x^{3} \left(x^{5} - x^{3} + 1\right)}\, dx"," ",0,"Integral(((x + 1)*(x**4 - x**3 + x**2 - x + 1))**(2/3)*(2*x**5 - 3)/(x**3*(x**5 - x**3 + 1)), x)","F",0
1244,0,0,0,0.000000," ","integrate((x**5-1)**(2/3)*(2*x**5+3)/x**3/(x**5-x**3-1),x)","\int \frac{\left(\left(x - 1\right) \left(x^{4} + x^{3} + x^{2} + x + 1\right)\right)^{\frac{2}{3}} \left(2 x^{5} + 3\right)}{x^{3} \left(x^{5} - x^{3} - 1\right)}\, dx"," ",0,"Integral(((x - 1)*(x**4 + x**3 + x**2 + x + 1))**(2/3)*(2*x**5 + 3)/(x**3*(x**5 - x**3 - 1)), x)","F",0
1245,1,39,0,0.858209," ","integrate((x**6-1)**(1/4)/x,x)","- \frac{x^{\frac{3}{2}} \Gamma\left(- \frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{4}, - \frac{1}{4} \\ \frac{3}{4} \end{matrix}\middle| {\frac{e^{2 i \pi}}{x^{6}}} \right)}}{6 \Gamma\left(\frac{3}{4}\right)}"," ",0,"-x**(3/2)*gamma(-1/4)*hyper((-1/4, -1/4), (3/4,), exp_polar(2*I*pi)/x**6)/(6*gamma(3/4))","C",0
1246,1,31,0,1.007311," ","integrate(1/x**7/(x**6+1)**(1/3),x)","- \frac{\Gamma\left(\frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{4}{3} \\ \frac{7}{3} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{6}}} \right)}}{6 x^{8} \Gamma\left(\frac{7}{3}\right)}"," ",0,"-gamma(4/3)*hyper((1/3, 4/3), (7/3,), exp_polar(I*pi)/x**6)/(6*x**8*gamma(7/3))","C",0
1247,1,32,0,1.087262," ","integrate((x**6+1)**(2/3)/x**7,x)","- \frac{\Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{6}}} \right)}}{6 x^{2} \Gamma\left(\frac{4}{3}\right)}"," ",0,"-gamma(1/3)*hyper((-2/3, 1/3), (4/3,), exp_polar(I*pi)/x**6)/(6*x**2*gamma(4/3))","C",0
1248,-1,0,0,0.000000," ","integrate(((k**2-3)*x+2*k**2*x**3)/((-x**2+1)*(-k**2*x**2+1))**(1/4)/(-1+d+(-d*k**2+3)*x**2-3*x**4+x**6),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1249,0,0,0,0.000000," ","integrate((x**7-1)**(2/3)*(4*x**7+3)/x**3/(x**7+x**3-1),x)","\int \frac{\left(\left(x - 1\right) \left(x^{6} + x^{5} + x^{4} + x^{3} + x^{2} + x + 1\right)\right)^{\frac{2}{3}} \left(4 x^{7} + 3\right)}{x^{3} \left(x^{7} + x^{3} - 1\right)}\, dx"," ",0,"Integral(((x - 1)*(x**6 + x**5 + x**4 + x**3 + x**2 + x + 1))**(2/3)*(4*x**7 + 3)/(x**3*(x**7 + x**3 - 1)), x)","F",0
1250,0,0,0,0.000000," ","integrate(x/(a**2*x**2-b*x)**(1/2)/(a*x**2+x*(a**2*x**2-b*x)**(1/2))**(3/2),x)","\int \frac{x}{\left(x \left(a x + \sqrt{a^{2} x^{2} - b x}\right)\right)^{\frac{3}{2}} \sqrt{x \left(a^{2} x - b\right)}}\, dx"," ",0,"Integral(x/((x*(a*x + sqrt(a**2*x**2 - b*x)))**(3/2)*sqrt(x*(a**2*x - b))), x)","F",0
1251,-1,0,0,0.000000," ","integrate((-(a*b)**(1/2)+x)/(x*(a+x)*(b+x))**(1/2)/((a*b)**(1/2)+x),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1252,0,0,0,0.000000," ","integrate(1/(x**3-x**2)**(1/3),x)","\int \frac{1}{\sqrt[3]{x^{3} - x^{2}}}\, dx"," ",0,"Integral((x**3 - x**2)**(-1/3), x)","F",0
1253,0,0,0,0.000000," ","integrate((-x**2+3)/(-x**2+1)/(x**4-6*x**2+1)**(1/4),x)","\int \frac{x^{2} - 3}{\sqrt[4]{\left(x^{2} - 2 x - 1\right) \left(x^{2} + 2 x - 1\right)} \left(x - 1\right) \left(x + 1\right)}\, dx"," ",0,"Integral((x**2 - 3)/(((x**2 - 2*x - 1)*(x**2 + 2*x - 1))**(1/4)*(x - 1)*(x + 1)), x)","F",0
1254,0,0,0,0.000000," ","integrate((x**4-3)/(x**4+1)/(-3*x**5+4*x**4-3*x)**(1/4),x)","\int \frac{x^{4} - 3}{\sqrt[4]{- x \left(3 x^{4} - 4 x^{3} + 3\right)} \left(x^{4} + 1\right)}\, dx"," ",0,"Integral((x**4 - 3)/((-x*(3*x**4 - 4*x**3 + 3))**(1/4)*(x**4 + 1)), x)","F",0
1255,-1,0,0,0.000000," ","integrate((x**6-1)**(1/3)*(x**6+1)/x**2/(x**6+x**3-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1256,-1,0,0,0.000000," ","integrate((x**4-1)*(x**4+1)**(1/2)/(x**8+x**6+3*x**4+x**2+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1257,0,0,0,0.000000," ","integrate((2*x**8-1)/(x**4+1)**(1/4)/(x**8-1),x)","\int \frac{2 x^{8} - 1}{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \left(x^{4} + 1\right)^{\frac{5}{4}}}\, dx"," ",0,"Integral((2*x**8 - 1)/((x - 1)*(x + 1)*(x**2 + 1)*(x**4 + 1)**(5/4)), x)","F",0
1258,0,0,0,0.000000," ","integrate((a*x**8+b*x**5)**(1/4),x)","\int \sqrt[4]{a x^{8} + b x^{5}}\, dx"," ",0,"Integral((a*x**8 + b*x**5)**(1/4), x)","F",0
1259,0,0,0,0.000000," ","integrate((x-(x**2+1)**(1/2))**(1/2)/(1-(x**2+1)**(1/2)),x)","- \int \frac{\sqrt{x - \sqrt{x^{2} + 1}}}{\sqrt{x^{2} + 1} - 1}\, dx"," ",0,"-Integral(sqrt(x - sqrt(x**2 + 1))/(sqrt(x**2 + 1) - 1), x)","F",0
1260,0,0,0,0.000000," ","integrate((-1+x)*(3+x)/(x**2-1)**(2/3)/(x**2-x+2),x)","\int \frac{\left(x - 1\right) \left(x + 3\right)}{\left(\left(x - 1\right) \left(x + 1\right)\right)^{\frac{2}{3}} \left(x^{2} - x + 2\right)}\, dx"," ",0,"Integral((x - 1)*(x + 3)/(((x - 1)*(x + 1))**(2/3)*(x**2 - x + 2)), x)","F",0
1261,1,34,0,0.948624," ","integrate((x**3-1)**(1/3)/x**4,x)","- \frac{\Gamma\left(\frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, \frac{2}{3} \\ \frac{5}{3} \end{matrix}\middle| {\frac{e^{2 i \pi}}{x^{3}}} \right)}}{3 x^{2} \Gamma\left(\frac{5}{3}\right)}"," ",0,"-gamma(2/3)*hyper((-1/3, 2/3), (5/3,), exp_polar(2*I*pi)/x**3)/(3*x**2*gamma(5/3))","C",0
1262,1,32,0,0.962111," ","integrate((x**3-1)**(2/3)/x**4,x)","- \frac{\Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {\frac{e^{2 i \pi}}{x^{3}}} \right)}}{3 x \Gamma\left(\frac{4}{3}\right)}"," ",0,"-gamma(1/3)*hyper((-2/3, 1/3), (4/3,), exp_polar(2*I*pi)/x**3)/(3*x*gamma(4/3))","C",0
1263,1,32,0,0.823052," ","integrate((x**3+1)**(1/3)/x**2,x)","\frac{\Gamma\left(- \frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, - \frac{1}{3} \\ \frac{2}{3} \end{matrix}\middle| {x^{3} e^{i \pi}} \right)}}{3 x \Gamma\left(\frac{2}{3}\right)}"," ",0,"gamma(-1/3)*hyper((-1/3, -1/3), (2/3,), x**3*exp_polar(I*pi))/(3*x*gamma(2/3))","C",0
1264,0,0,0,0.000000," ","integrate((-1+x)/(1+x)/(x**3+2)**(1/3),x)","\int \frac{x - 1}{\left(x + 1\right) \sqrt[3]{x^{3} + 2}}\, dx"," ",0,"Integral((x - 1)/((x + 1)*(x**3 + 2)**(1/3)), x)","F",0
1265,1,41,0,1.468352," ","integrate(1/x**7/(a*x**3+b)**(3/4),x)","- \frac{\Gamma\left(\frac{11}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{11}{4} \\ \frac{15}{4} \end{matrix}\middle| {\frac{b e^{i \pi}}{a x^{3}}} \right)}}{3 a^{\frac{3}{4}} x^{\frac{33}{4}} \Gamma\left(\frac{15}{4}\right)}"," ",0,"-gamma(11/4)*hyper((3/4, 11/4), (15/4,), b*exp_polar(I*pi)/(a*x**3))/(3*a**(3/4)*x**(33/4)*gamma(15/4))","C",0
1266,-1,0,0,0.000000," ","integrate((x**2+2*x+1)*(-2-(-1+k)*(1+k)*x+2*k**2*x**2)/((-x**2+1)*(-k**2*x**2+1))**(3/4)/(1-d-(1+3*d)*x-(k**2+3*d)*x**2+(k**2-d)*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1267,1,34,0,0.986000," ","integrate(1/x**5/(x**4-1)**(1/3),x)","- \frac{\Gamma\left(\frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{4}{3} \\ \frac{7}{3} \end{matrix}\middle| {\frac{e^{2 i \pi}}{x^{4}}} \right)}}{4 x^{\frac{16}{3}} \Gamma\left(\frac{7}{3}\right)}"," ",0,"-gamma(4/3)*hyper((1/3, 4/3), (7/3,), exp_polar(2*I*pi)/x**4)/(4*x**(16/3)*gamma(7/3))","C",0
1268,-1,0,0,0.000000," ","integrate(x*(-b+x)*(a*b-2*a*x+x**2)/(x*(-a+x)*(-b+x))**(1/2)/(-a**2*d+2*a*d*x+(b**2-d)*x**2-2*b*x**3+x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1269,1,39,0,1.595928," ","integrate(1/x**9/(a*x**4+b)**(3/4),x)","- \frac{\Gamma\left(\frac{11}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{11}{4} \\ \frac{15}{4} \end{matrix}\middle| {\frac{b e^{i \pi}}{a x^{4}}} \right)}}{4 a^{\frac{3}{4}} x^{11} \Gamma\left(\frac{15}{4}\right)}"," ",0,"-gamma(11/4)*hyper((3/4, 11/4), (15/4,), b*exp_polar(I*pi)/(a*x**4))/(4*a**(3/4)*x**11*gamma(15/4))","C",0
1270,1,39,0,1.350959," ","integrate(x**4*(a*x**4+b)**(3/4),x)","\frac{b^{\frac{3}{4}} x^{5} \Gamma\left(\frac{5}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, \frac{5}{4} \\ \frac{9}{4} \end{matrix}\middle| {\frac{a x^{4} e^{i \pi}}{b}} \right)}}{4 \Gamma\left(\frac{9}{4}\right)}"," ",0,"b**(3/4)*x**5*gamma(5/4)*hyper((-3/4, 5/4), (9/4,), a*x**4*exp_polar(I*pi)/b)/(4*gamma(9/4))","C",0
1271,0,0,0,0.000000," ","integrate((a*x**4-b*x**3)**(1/4)/x/(c*x+x**2+d),x)","\int \frac{\sqrt[4]{x^{3} \left(a x - b\right)}}{x \left(c x + d + x^{2}\right)}\, dx"," ",0,"Integral((x**3*(a*x - b))**(1/4)/(x*(c*x + d + x**2)), x)","F",0
1272,0,0,0,0.000000," ","integrate((a*x**4-b*x**3)**(1/4)/x/(c*x+x**2+d),x)","\int \frac{\sqrt[4]{x^{3} \left(a x - b\right)}}{x \left(c x + d + x^{2}\right)}\, dx"," ",0,"Integral((x**3*(a*x - b))**(1/4)/(x*(c*x + d + x**2)), x)","F",0
1273,1,36,0,1.090734," ","integrate((x**5-1)**(2/3)/x**6,x)","- \frac{\Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {\frac{e^{2 i \pi}}{x^{5}}} \right)}}{5 x^{\frac{5}{3}} \Gamma\left(\frac{4}{3}\right)}"," ",0,"-gamma(1/3)*hyper((-2/3, 1/3), (4/3,), exp_polar(2*I*pi)/x**5)/(5*x**(5/3)*gamma(4/3))","C",0
1274,1,41,0,1.820992," ","integrate(1/x**11/(a*x**5+b)**(3/4),x)","- \frac{\Gamma\left(\frac{11}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{11}{4} \\ \frac{15}{4} \end{matrix}\middle| {\frac{b e^{i \pi}}{a x^{5}}} \right)}}{5 a^{\frac{3}{4}} x^{\frac{55}{4}} \Gamma\left(\frac{15}{4}\right)}"," ",0,"-gamma(11/4)*hyper((3/4, 11/4), (15/4,), b*exp_polar(I*pi)/(a*x**5))/(5*a**(3/4)*x**(55/4)*gamma(15/4))","C",0
1275,1,32,0,1.047328," ","integrate(1/x**7/(x**6-1)**(1/3),x)","- \frac{\Gamma\left(\frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{4}{3} \\ \frac{7}{3} \end{matrix}\middle| {\frac{e^{2 i \pi}}{x^{6}}} \right)}}{6 x^{8} \Gamma\left(\frac{7}{3}\right)}"," ",0,"-gamma(4/3)*hyper((1/3, 4/3), (7/3,), exp_polar(2*I*pi)/x**6)/(6*x**8*gamma(7/3))","C",0
1276,1,34,0,1.118972," ","integrate((x**6-1)**(2/3)/x**7,x)","- \frac{\Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {\frac{e^{2 i \pi}}{x^{6}}} \right)}}{6 x^{2} \Gamma\left(\frac{4}{3}\right)}"," ",0,"-gamma(1/3)*hyper((-2/3, 1/3), (4/3,), exp_polar(2*I*pi)/x**6)/(6*x**2*gamma(4/3))","C",0
1277,-1,0,0,0.000000," ","integrate((2*x**6+x**4-1)*(x**7+x**5+x)**(1/3)/(x**6+x**4+1)/(x**6+x**4-x**2+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1278,1,260,0,12.346335," ","integrate((1+(1+x)**(1/2))**(1/2)/(x-(1+x)**(1/2)),x)","4 \sqrt{\sqrt{x + 1} + 1} + 12 \left(\begin{cases} - \frac{\sqrt{5} \operatorname{acoth}{\left(\frac{2 \sqrt{5} \left(\sqrt{\sqrt{x + 1} + 1} - \frac{1}{2}\right)}{5} \right)}}{10} & \text{for}\: \left(\sqrt{\sqrt{x + 1} + 1} - \frac{1}{2}\right)^{2} > \frac{5}{4} \\- \frac{\sqrt{5} \operatorname{atanh}{\left(\frac{2 \sqrt{5} \left(\sqrt{\sqrt{x + 1} + 1} - \frac{1}{2}\right)}{5} \right)}}{10} & \text{for}\: \left(\sqrt{\sqrt{x + 1} + 1} - \frac{1}{2}\right)^{2} < \frac{5}{4} \end{cases}\right) + 12 \left(\begin{cases} - \frac{\sqrt{5} \operatorname{acoth}{\left(\frac{2 \sqrt{5} \left(\sqrt{\sqrt{x + 1} + 1} + \frac{1}{2}\right)}{5} \right)}}{10} & \text{for}\: \left(\sqrt{\sqrt{x + 1} + 1} + \frac{1}{2}\right)^{2} > \frac{5}{4} \\- \frac{\sqrt{5} \operatorname{atanh}{\left(\frac{2 \sqrt{5} \left(\sqrt{\sqrt{x + 1} + 1} + \frac{1}{2}\right)}{5} \right)}}{10} & \text{for}\: \left(\sqrt{\sqrt{x + 1} + 1} + \frac{1}{2}\right)^{2} < \frac{5}{4} \end{cases}\right) + \log{\left(\sqrt{x + 1} - \sqrt{\sqrt{x + 1} + 1} \right)} - \log{\left(\sqrt{x + 1} + \sqrt{\sqrt{x + 1} + 1} \right)}"," ",0,"4*sqrt(sqrt(x + 1) + 1) + 12*Piecewise((-sqrt(5)*acoth(2*sqrt(5)*(sqrt(sqrt(x + 1) + 1) - 1/2)/5)/10, (sqrt(sqrt(x + 1) + 1) - 1/2)**2 > 5/4), (-sqrt(5)*atanh(2*sqrt(5)*(sqrt(sqrt(x + 1) + 1) - 1/2)/5)/10, (sqrt(sqrt(x + 1) + 1) - 1/2)**2 < 5/4)) + 12*Piecewise((-sqrt(5)*acoth(2*sqrt(5)*(sqrt(sqrt(x + 1) + 1) + 1/2)/5)/10, (sqrt(sqrt(x + 1) + 1) + 1/2)**2 > 5/4), (-sqrt(5)*atanh(2*sqrt(5)*(sqrt(sqrt(x + 1) + 1) + 1/2)/5)/10, (sqrt(sqrt(x + 1) + 1) + 1/2)**2 < 5/4)) + log(sqrt(x + 1) - sqrt(sqrt(x + 1) + 1)) - log(sqrt(x + 1) + sqrt(sqrt(x + 1) + 1))","A",0
1279,1,34,0,0.947768," ","integrate(1/x**3/(x**2-1)**(3/4),x)","- \frac{\Gamma\left(\frac{7}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{7}{4} \\ \frac{11}{4} \end{matrix}\middle| {\frac{e^{2 i \pi}}{x^{2}}} \right)}}{2 x^{\frac{7}{2}} \Gamma\left(\frac{11}{4}\right)}"," ",0,"-gamma(7/4)*hyper((3/4, 7/4), (11/4,), exp_polar(2*I*pi)/x**2)/(2*x**(7/2)*gamma(11/4))","C",0
1280,1,37,0,0.907517," ","integrate((x**3-1)**(2/3)/x**3,x)","\frac{e^{\frac{2 i \pi}{3}} \Gamma\left(- \frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, - \frac{2}{3} \\ \frac{1}{3} \end{matrix}\middle| {x^{3}} \right)}}{3 x^{2} \Gamma\left(\frac{1}{3}\right)}"," ",0,"exp(2*I*pi/3)*gamma(-2/3)*hyper((-2/3, -2/3), (1/3,), x**3)/(3*x**2*gamma(1/3))","C",0
1281,0,0,0,0.000000," ","integrate((x**2+2)/(x**2+2*x-2)/(x**3+1)**(1/2),x)","\int \frac{x^{2} + 2}{\sqrt{\left(x + 1\right) \left(x^{2} - x + 1\right)} \left(x^{2} + 2 x - 2\right)}\, dx"," ",0,"Integral((x**2 + 2)/(sqrt((x + 1)*(x**2 - x + 1))*(x**2 + 2*x - 2)), x)","F",0
1282,1,34,0,0.855664," ","integrate((x**3+1)**(2/3)/x**3,x)","\frac{\Gamma\left(- \frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, - \frac{2}{3} \\ \frac{1}{3} \end{matrix}\middle| {x^{3} e^{i \pi}} \right)}}{3 x^{2} \Gamma\left(\frac{1}{3}\right)}"," ",0,"gamma(-2/3)*hyper((-2/3, -2/3), (1/3,), x**3*exp_polar(I*pi))/(3*x**2*gamma(1/3))","C",0
1283,-1,0,0,0.000000," ","integrate((2*a*b*x+(-3*a+b)*x**2)/(x**2*(-a+x)*(-b+x))**(1/4)/(a**3-3*a**2*x+(-b*d+3*a)*x**2+(-1+d)*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1284,1,34,0,0.982492," ","integrate((x**4-1)**(1/4)/x**5,x)","- \frac{\Gamma\left(\frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{4}, \frac{3}{4} \\ \frac{7}{4} \end{matrix}\middle| {\frac{e^{2 i \pi}}{x^{4}}} \right)}}{4 x^{3} \Gamma\left(\frac{7}{4}\right)}"," ",0,"-gamma(3/4)*hyper((-1/4, 3/4), (7/4,), exp_polar(2*I*pi)/x**4)/(4*x**3*gamma(7/4))","C",0
1285,0,0,0,0.000000," ","integrate((x**2+1)/(x**2+x-1)/(x**4-x**2)**(1/3),x)","\int \frac{x^{2} + 1}{\sqrt[3]{x^{2} \left(x - 1\right) \left(x + 1\right)} \left(x^{2} + x - 1\right)}\, dx"," ",0,"Integral((x**2 + 1)/((x**2*(x - 1)*(x + 1))**(1/3)*(x**2 + x - 1)), x)","F",0
1286,0,0,0,0.000000," ","integrate((-1+2*x)*(x**2-x+2)*(x**4-2*x**3+x**2-2)**(1/2)/(2*x**2-2*x+3),x)","\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}\, dx"," ",0,"Integral((2*x - 1)*(x**2 - x + 2)*sqrt(x**4 - 2*x**3 + x**2 - 2)/(2*x**2 - 2*x + 3), x)","F",0
1287,0,0,0,0.000000," ","integrate((x**4-x**3)**(1/4)/x/(1+x),x)","\int \frac{\sqrt[4]{x^{3} \left(x - 1\right)}}{x \left(x + 1\right)}\, dx"," ",0,"Integral((x**3*(x - 1))**(1/4)/(x*(x + 1)), x)","F",0
1288,-1,0,0,0.000000," ","integrate((2*x**3+1)/(x**3+x-1)/(x**5-x**2)**(1/3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1289,1,36,0,1.106763," ","integrate((x**6-1)**(1/4)/x**7,x)","- \frac{\Gamma\left(\frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{4}, \frac{3}{4} \\ \frac{7}{4} \end{matrix}\middle| {\frac{e^{2 i \pi}}{x^{6}}} \right)}}{6 x^{\frac{9}{2}} \Gamma\left(\frac{7}{4}\right)}"," ",0,"-gamma(3/4)*hyper((-1/4, 3/4), (7/4,), exp_polar(2*I*pi)/x**6)/(6*x**(9/2)*gamma(7/4))","C",0
1290,-1,0,0,0.000000," ","integrate((3*x**4+1)/(x**4+x-1)/(x**6-x**2)**(1/3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1291,0,0,0,0.000000," ","integrate((x**3+2)*(x**3-x**2-1)**(1/2)/(x**6+x**5-x**4-2*x**3-x**2+1),x)","\int \frac{\left(x^{3} + 2\right) \sqrt{x^{3} - x^{2} - 1}}{x^{6} + x^{5} - x^{4} - 2 x^{3} - x^{2} + 1}\, dx"," ",0,"Integral((x**3 + 2)*sqrt(x**3 - x**2 - 1)/(x**6 + x**5 - x**4 - 2*x**3 - x**2 + 1), x)","F",0
1292,-1,0,0,0.000000," ","integrate((x**4+1)*(x**4-x**2-1)**(1/2)/(x**8+x**6-3*x**4-x**2+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1293,0,0,0,0.000000," ","integrate(x**2*(x+(1+x)**(1/2))**(1/2)/(1+x)**(1/2),x)","\int \frac{x^{2} \sqrt{x + \sqrt{x + 1}}}{\sqrt{x + 1}}\, dx"," ",0,"Integral(x**2*sqrt(x + sqrt(x + 1))/sqrt(x + 1), x)","F",0
1294,1,32,0,0.864516," ","integrate((x**3-1)**(2/3),x)","- \frac{x e^{- \frac{i \pi}{3}} \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {x^{3}} \right)}}{3 \Gamma\left(\frac{4}{3}\right)}"," ",0,"-x*exp(-I*pi/3)*gamma(1/3)*hyper((-2/3, 1/3), (4/3,), x**3)/(3*gamma(4/3))","C",0
1295,1,29,0,0.814719," ","integrate((x**3+1)**(2/3),x)","\frac{x \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {x^{3} e^{i \pi}} \right)}}{3 \Gamma\left(\frac{4}{3}\right)}"," ",0,"x*gamma(1/3)*hyper((-2/3, 1/3), (4/3,), x**3*exp_polar(I*pi))/(3*gamma(4/3))","C",0
1296,1,71,0,1.612856," ","integrate((x**3-1)/(x**3+2)**(1/3),x)","\frac{2^{\frac{2}{3}} x^{4} \Gamma\left(\frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{4}{3} \\ \frac{7}{3} \end{matrix}\middle| {\frac{x^{3} e^{i \pi}}{2}} \right)}}{6 \Gamma\left(\frac{7}{3}\right)} - \frac{2^{\frac{2}{3}} x \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {\frac{x^{3} e^{i \pi}}{2}} \right)}}{6 \Gamma\left(\frac{4}{3}\right)}"," ",0,"2**(2/3)*x**4*gamma(4/3)*hyper((1/3, 4/3), (7/3,), x**3*exp_polar(I*pi)/2)/(6*gamma(7/3)) - 2**(2/3)*x*gamma(1/3)*hyper((1/3, 1/3), (4/3,), x**3*exp_polar(I*pi)/2)/(6*gamma(4/3))","C",0
1297,0,0,0,0.000000," ","integrate((x**3+x)**(1/3),x)","\int \sqrt[3]{x^{3} + x}\, dx"," ",0,"Integral((x**3 + x)**(1/3), x)","F",0
1298,-1,0,0,0.000000," ","integrate((-2*k+(-1+k)*(1+k)*x+2*k*x**2)*(k**2*x**2+2*k*x+1)/((-x**2+1)*(-k**2*x**2+1))**(3/4)/(-1+d+(1+3*d)*k*x+(3*d*k**2+1)*x**2+k*(d*k**2-1)*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1299,0,0,0,0.000000," ","integrate((x**4-1)**(3/4)*(x**4+4)/x**8/(x**4-4),x)","\int \frac{\left(\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)\right)^{\frac{3}{4}} \left(x^{2} - 2 x + 2\right) \left(x^{2} + 2 x + 2\right)}{x^{8} \left(x^{2} - 2\right) \left(x^{2} + 2\right)}\, dx"," ",0,"Integral(((x - 1)*(x + 1)*(x**2 + 1))**(3/4)*(x**2 - 2*x + 2)*(x**2 + 2*x + 2)/(x**8*(x**2 - 2)*(x**2 + 2)), x)","F",0
1300,-1,0,0,0.000000," ","integrate((a*x**3+4*b)/(a*x**3+b)**(1/4)/(a*x**3+x**4+b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1301,-1,0,0,0.000000," ","integrate((-a**2*b+a*(2*a+b)*x-3*a*x**2+x**3)/(x*(-a+x)*(-b+x))**(1/2)/(-a**2*d+2*a*d*x+(b**2-d)*x**2-2*b*x**3+x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1302,0,0,0,0.000000," ","integrate((a*x**4-2*b)/x**4/(a*x**4+b*x**2)**(1/4),x)","\int \frac{a x^{4} - 2 b}{x^{4} \sqrt[4]{x^{2} \left(a x^{2} + b\right)}}\, dx"," ",0,"Integral((a*x**4 - 2*b)/(x**4*(x**2*(a*x**2 + b))**(1/4)), x)","F",0
1303,0,0,0,0.000000," ","integrate((a*x**4+2*b)/x**4/(a*x**4+b*x**2)**(1/4),x)","\int \frac{a x^{4} + 2 b}{x^{4} \sqrt[4]{x^{2} \left(a x^{2} + b\right)}}\, dx"," ",0,"Integral((a*x**4 + 2*b)/(x**4*(x**2*(a*x**2 + b))**(1/4)), x)","F",0
1304,0,0,0,0.000000," ","integrate((-1+x)/(1+x)/(a*x**4+b*x**3+c*x**2+b*x+a)**(1/2),x)","\int \frac{x - 1}{\left(x + 1\right) \sqrt{a x^{4} + a + b x^{3} + b x + c x^{2}}}\, dx"," ",0,"Integral((x - 1)/((x + 1)*sqrt(a*x**4 + a + b*x**3 + b*x + c*x**2)), x)","F",0
1305,0,0,0,0.000000," ","integrate((1+x)/(-1+x)/(a*x**4+b*x**3+c*x**2+b*x+a)**(1/2),x)","\int \frac{x + 1}{\left(x - 1\right) \sqrt{a x^{4} + a + b x^{3} + b x + c x^{2}}}\, dx"," ",0,"Integral((x + 1)/((x - 1)*sqrt(a*x**4 + a + b*x**3 + b*x + c*x**2)), x)","F",0
1306,0,0,0,0.000000," ","integrate(x**2/((-x**2+1)*(-k**2*x**2+1))**(1/2)/(k**2*x**4-1),x)","\int \frac{x^{2}}{\sqrt{\left(x - 1\right) \left(x + 1\right) \left(k x - 1\right) \left(k x + 1\right)} \left(k x^{2} - 1\right) \left(k x^{2} + 1\right)}\, dx"," ",0,"Integral(x**2/(sqrt((x - 1)*(x + 1)*(k*x - 1)*(k*x + 1))*(k*x**2 - 1)*(k*x**2 + 1)), x)","F",0
1307,-1,0,0,0.000000," ","integrate((x**6-1)**(2/3)*(x**6+1)/x**3/(x**6-x**3-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1308,-1,0,0,0.000000," ","integrate((x**6-1)*(x**6+1)**(2/3)/x**3/(x**6-x**3+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1309,-1,0,0,0.000000," ","integrate((x**8-1)/(x**4-x**2)**(1/4)/(x**8+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1310,-1,0,0,0.000000," ","integrate((x**8-1)/(x**4-x**2)**(1/4)/(x**8+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1311,-1,0,0,0.000000," ","integrate((x**8+3*x**4+1)/x**2/(x**4+1)**(3/4)/(3*x**8+3*x**4+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1312,0,0,0,0.000000," ","integrate((c+(a*x+(a**2*x**2+b)**(1/2))**(1/2))**(1/2)/(a**2*x**2+b),x)","\int \frac{\sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}}}{a^{2} x^{2} + b}\, dx"," ",0,"Integral(sqrt(c + sqrt(a*x + sqrt(a**2*x**2 + b)))/(a**2*x**2 + b), x)","F",0
1313,0,0,0,0.000000," ","integrate((c+(a*x+(a**2*x**2+b)**(1/2))**(1/2))**(1/2)/(a**2*x**2+b),x)","\int \frac{\sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}}}{a^{2} x^{2} + b}\, dx"," ",0,"Integral(sqrt(c + sqrt(a*x + sqrt(a**2*x**2 + b)))/(a**2*x**2 + b), x)","F",0
1314,1,53,0,1.814620," ","integrate((-1+x)/x**4/(x**3+1)**(1/3),x)","\frac{\left(1 + \frac{1}{x^{3}}\right)^{\frac{2}{3}} \Gamma\left(- \frac{2}{3}\right)}{3 \Gamma\left(\frac{1}{3}\right)} + \frac{\Gamma\left(\frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{4}{3} \\ \frac{7}{3} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{3}}} \right)}}{3 x^{4} \Gamma\left(\frac{7}{3}\right)}"," ",0,"(1 + x**(-3))**(2/3)*gamma(-2/3)/(3*gamma(1/3)) + gamma(4/3)*hyper((1/3, 4/3), (7/3,), exp_polar(I*pi)/x**3)/(3*x**4*gamma(7/3))","C",0
1315,0,0,0,0.000000," ","integrate((3+2*x)*(x**3+x+1)**(1/3)/x**2/(1+x),x)","\int \frac{\left(2 x + 3\right) \sqrt[3]{x^{3} + x + 1}}{x^{2} \left(x + 1\right)}\, dx"," ",0,"Integral((2*x + 3)*(x**3 + x + 1)**(1/3)/(x**2*(x + 1)), x)","F",0
1316,-1,0,0,0.000000," ","integrate((a**2-2*a*x+x**2)*(-a*b+2*(a-b)*x+x**2)/(x*(-a+x)*(-b+x))**(3/4)/(-a**3*d+(3*a**2*d+b)*x-(3*a*d+1)*x**2+d*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1317,0,0,0,0.000000," ","integrate((x**2+1)**2/(-x**2+1)/(x**4-6*x**2+1)**(3/4),x)","- \int \frac{2 x^{2}}{x^{2} \left(x^{4} - 6 x^{2} + 1\right)^{\frac{3}{4}} - \left(x^{4} - 6 x^{2} + 1\right)^{\frac{3}{4}}}\, dx - \int \frac{x^{4}}{x^{2} \left(x^{4} - 6 x^{2} + 1\right)^{\frac{3}{4}} - \left(x^{4} - 6 x^{2} + 1\right)^{\frac{3}{4}}}\, dx - \int \frac{1}{x^{2} \left(x^{4} - 6 x^{2} + 1\right)^{\frac{3}{4}} - \left(x^{4} - 6 x^{2} + 1\right)^{\frac{3}{4}}}\, dx"," ",0,"-Integral(2*x**2/(x**2*(x**4 - 6*x**2 + 1)**(3/4) - (x**4 - 6*x**2 + 1)**(3/4)), x) - Integral(x**4/(x**2*(x**4 - 6*x**2 + 1)**(3/4) - (x**4 - 6*x**2 + 1)**(3/4)), x) - Integral(1/(x**2*(x**4 - 6*x**2 + 1)**(3/4) - (x**4 - 6*x**2 + 1)**(3/4)), x)","F",0
1318,-1,0,0,0.000000," ","integrate((x**3-4)*(x**4-x**3+1)/x**2/(x**3-1)**(3/4)/(x**4+x**3-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1319,-1,0,0,0.000000," ","integrate((x**4-1)*(x**4+3)*(x**4-x**3-1)/x**6/(x**4-2*x**3-1)/(x**5-x)**(1/4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1320,0,0,0,0.000000," ","integrate((a*x**5+4*b)*(a*x**5+c*x**4-b)/x**2/(a*x**5-b)**(3/4)/(a*x**5-c*x**4-b),x)","\int \frac{\left(a x^{5} + 4 b\right) \left(a x^{5} - b + c x^{4}\right)}{x^{2} \left(a x^{5} - b\right)^{\frac{3}{4}} \left(a x^{5} - b - c x^{4}\right)}\, dx"," ",0,"Integral((a*x**5 + 4*b)*(a*x**5 - b + c*x**4)/(x**2*(a*x**5 - b)**(3/4)*(a*x**5 - b - c*x**4)), x)","F",0
1321,-1,0,0,0.000000," ","integrate((x**6-2)*(x**6-x**4+1)/x**4/(x**6+1)**(1/4)/(x**6+x**4+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1322,-1,0,0,0.000000," ","integrate(x**4*(a*x**6+2*b)/(a*x**6-b)**(1/4)/(a*x**6-x**4-b)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1323,-1,0,0,0.000000," ","integrate((a*x**6+2*b)*(a*x**6-x**4-b)/x**4/(a*x**6-b)**(1/4)/(a*x**6-2*x**4-b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1324,0,0,0,0.000000," ","integrate((-x**8-2*x**3-2*x**2-1)**(1/2)*(3*x**8+x**3-1)/(x**8+2*x**3+1)/(x**8+2*x**3+x**2+1),x)","\int \frac{\left(3 x^{8} + x^{3} - 1\right) \sqrt{- x^{8} - 2 x^{3} - 2 x^{2} - 1}}{\left(x + 1\right) \left(x^{8} + 2 x^{3} + x^{2} + 1\right) \left(x^{7} - x^{6} + x^{5} - x^{4} + x^{3} + x^{2} - x + 1\right)}\, dx"," ",0,"Integral((3*x**8 + x**3 - 1)*sqrt(-x**8 - 2*x**3 - 2*x**2 - 1)/((x + 1)*(x**8 + 2*x**3 + x**2 + 1)*(x**7 - x**6 + x**5 - x**4 + x**3 + x**2 - x + 1)), x)","F",0
1325,0,0,0,0.000000," ","integrate((x**6+1)*(x**6-x**2-2)**(1/2)/(x**12-4*x**6-3*x**4+4),x)","\int \frac{\left(x^{2} + 1\right) \left(x^{4} - x^{2} + 1\right) \sqrt{x^{6} - x^{2} - 2}}{x^{12} - 4 x^{6} - 3 x^{4} + 4}\, dx"," ",0,"Integral((x**2 + 1)*(x**4 - x**2 + 1)*sqrt(x**6 - x**2 - 2)/(x**12 - 4*x**6 - 3*x**4 + 4), x)","F",0
1326,1,36,0,0.865538," ","integrate(x*(x**3-1)**(1/3),x)","- \frac{x^{2} e^{- \frac{2 i \pi}{3}} \Gamma\left(\frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, \frac{2}{3} \\ \frac{5}{3} \end{matrix}\middle| {x^{3}} \right)}}{3 \Gamma\left(\frac{5}{3}\right)}"," ",0,"-x**2*exp(-2*I*pi/3)*gamma(2/3)*hyper((-1/3, 2/3), (5/3,), x**3)/(3*gamma(5/3))","C",0
1327,1,31,0,0.833812," ","integrate(x*(x**3+1)**(1/3),x)","\frac{x^{2} \Gamma\left(\frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, \frac{2}{3} \\ \frac{5}{3} \end{matrix}\middle| {x^{3} e^{i \pi}} \right)}}{3 \Gamma\left(\frac{5}{3}\right)}"," ",0,"x**2*gamma(2/3)*hyper((-1/3, 2/3), (5/3,), x**3*exp_polar(I*pi))/(3*gamma(5/3))","C",0
1328,0,0,0,0.000000," ","integrate((x**3+x)**(1/3)/x**2,x)","\int \frac{\sqrt[3]{x \left(x^{2} + 1\right)}}{x^{2}}\, dx"," ",0,"Integral((x*(x**2 + 1))**(1/3)/x**2, x)","F",0
1329,-1,0,0,0.000000," ","integrate((-1+x)*(k*x-1)*(3-2*(1+k)*x+k*x**2)/x/((1-x)*x*(-k*x+1))**(3/4)/(-1+(1+k)*x-k*x**2+d*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1330,-1,0,0,0.000000," ","integrate((x**2-2*x+1)*(-2+(-1+k)*(1+k)*x+2*k**2*x**2)/((-x**2+1)*(-k**2*x**2+1))**(3/4)/(-1+d-(1+3*d)*x+(k**2+3*d)*x**2+(k**2-d)*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1331,0,0,0,0.000000," ","integrate(x**2/(a*x**2-b)/(a*x**4-b*x**2)**(1/4),x)","\int \frac{x^{2}}{\sqrt[4]{x^{2} \left(a x^{2} - b\right)} \left(a x^{2} - b\right)}\, dx"," ",0,"Integral(x**2/((x**2*(a*x**2 - b))**(1/4)*(a*x**2 - b)), x)","F",0
1332,0,0,0,0.000000," ","integrate((p*x**5+q)**(1/2)*(3*p*x**5-2*q)*(a*p*x**5+b*x**2+a*q)/x**4/(c*p*x**5+d*x**2+c*q),x)","\int \frac{\sqrt{p x^{5} + q} \left(3 p x^{5} - 2 q\right) \left(a p x^{5} + a q + b x^{2}\right)}{x^{4} \left(c p x^{5} + c q + d x^{2}\right)}\, dx"," ",0,"Integral(sqrt(p*x**5 + q)*(3*p*x**5 - 2*q)*(a*p*x**5 + a*q + b*x**2)/(x**4*(c*p*x**5 + c*q + d*x**2)), x)","F",0
1333,0,0,0,0.000000," ","integrate(x/(x**6+x**2)**(1/3),x)","\int \frac{x}{\sqrt[3]{x^{2} \left(x^{4} + 1\right)}}\, dx"," ",0,"Integral(x/(x**2*(x**4 + 1))**(1/3), x)","F",0
1334,0,0,0,0.000000," ","integrate((x**4-1)/(x**4+x**2+1)/(x**6+x**2)**(1/4),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}{\sqrt[4]{x^{2} \left(x^{4} + 1\right)} \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)}\, dx"," ",0,"Integral((x - 1)*(x + 1)*(x**2 + 1)/((x**2*(x**4 + 1))**(1/4)*(x**2 - x + 1)*(x**2 + x + 1)), x)","F",0
1335,0,0,0,0.000000," ","integrate((x**4-1)/(x**4+x**2+1)/(x**6+x**2)**(1/4),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}{\sqrt[4]{x^{2} \left(x^{4} + 1\right)} \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)}\, dx"," ",0,"Integral((x - 1)*(x + 1)*(x**2 + 1)/((x**2*(x**4 + 1))**(1/4)*(x**2 - x + 1)*(x**2 + x + 1)), x)","F",0
1336,-1,0,0,0.000000," ","integrate(x**2*(a*x**6+2*b)/(a*x**6-b)**(3/4)/(a*x**6-2*c*x**4-b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1337,0,0,0,0.000000," ","integrate(1/(a*x**4+b)**(1/4)/(x**8-2*a*x**4-2*b),x)","\int \frac{1}{\sqrt[4]{a x^{4} + b} \left(- 2 a x^{4} - 2 b + x^{8}\right)}\, dx"," ",0,"Integral(1/((a*x**4 + b)**(1/4)*(-2*a*x**4 - 2*b + x**8)), x)","F",0
1338,0,0,0,0.000000," ","integrate(1/(a*x**4+b)**(1/4)/(x**8-2*a*x**4-2*b),x)","\int \frac{1}{\sqrt[4]{a x^{4} + b} \left(- 2 a x^{4} - 2 b + x^{8}\right)}\, dx"," ",0,"Integral(1/((a*x**4 + b)**(1/4)*(-2*a*x**4 - 2*b + x**8)), x)","F",0
1339,-1,0,0,0.000000," ","integrate((a*x**4-2*b)/(a*x**4+b)**(1/4)/(2*x**8-a*x**4-b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1340,0,0,0,0.000000," ","integrate((k**2*x**2+b*x+1)/((1-x)*x*(-k**2*x+1))**(1/2)/(k**2*x**2-1),x)","\int \frac{b x + k^{2} x^{2} + 1}{\sqrt{x \left(x - 1\right) \left(k^{2} x - 1\right)} \left(k x - 1\right) \left(k x + 1\right)}\, dx"," ",0,"Integral((b*x + k**2*x**2 + 1)/(sqrt(x*(x - 1)*(k**2*x - 1))*(k*x - 1)*(k*x + 1)), x)","F",0
1341,1,34,0,1.091474," ","integrate((x**3-1)**(1/3)/x**7,x)","- \frac{\Gamma\left(\frac{5}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, \frac{5}{3} \\ \frac{8}{3} \end{matrix}\middle| {\frac{e^{2 i \pi}}{x^{3}}} \right)}}{3 x^{5} \Gamma\left(\frac{8}{3}\right)}"," ",0,"-gamma(5/3)*hyper((-1/3, 5/3), (8/3,), exp_polar(2*I*pi)/x**3)/(3*x**5*gamma(8/3))","C",0
1342,1,32,0,1.053228," ","integrate((x**3+1)**(1/3)/x**7,x)","- \frac{\Gamma\left(\frac{5}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, \frac{5}{3} \\ \frac{8}{3} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{3}}} \right)}}{3 x^{5} \Gamma\left(\frac{8}{3}\right)}"," ",0,"-gamma(5/3)*hyper((-1/3, 5/3), (8/3,), exp_polar(I*pi)/x**3)/(3*x**5*gamma(8/3))","C",0
1343,1,65,0,87.873285," ","integrate((x**3-1)*(x**3+1)**(1/3)/x**4,x)","- \frac{x \Gamma\left(- \frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, - \frac{1}{3} \\ \frac{2}{3} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{3}}} \right)}}{3 \Gamma\left(\frac{2}{3}\right)} + \frac{\Gamma\left(\frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, \frac{2}{3} \\ \frac{5}{3} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{3}}} \right)}}{3 x^{2} \Gamma\left(\frac{5}{3}\right)}"," ",0,"-x*gamma(-1/3)*hyper((-1/3, -1/3), (2/3,), exp_polar(I*pi)/x**3)/(3*gamma(2/3)) + gamma(2/3)*hyper((-1/3, 2/3), (5/3,), exp_polar(I*pi)/x**3)/(3*x**2*gamma(5/3))","C",0
1344,0,0,0,0.000000," ","integrate((1+x)/(x**3-x-1)/(x**3-x**2)**(1/3),x)","\int \frac{x + 1}{\sqrt[3]{x^{2} \left(x - 1\right)} \left(x^{3} - x - 1\right)}\, dx"," ",0,"Integral((x + 1)/((x**2*(x - 1))**(1/3)*(x**3 - x - 1)), x)","F",0
1345,0,0,0,0.000000," ","integrate((1+x)/(x**3-x-1)/(x**3-x**2)**(1/3),x)","\int \frac{x + 1}{\sqrt[3]{x^{2} \left(x - 1\right)} \left(x^{3} - x - 1\right)}\, dx"," ",0,"Integral((x + 1)/((x**2*(x - 1))**(1/3)*(x**3 - x - 1)), x)","F",0
1346,0,0,0,0.000000," ","integrate((x**2-1)/(x**2+1)/(x**3-x**2-x)**(1/2),x)","\int \frac{\left(x - 1\right) \left(x + 1\right)}{\sqrt{x \left(x^{2} - x - 1\right)} \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x - 1)*(x + 1)/(sqrt(x*(x**2 - x - 1))*(x**2 + 1)), x)","F",0
1347,0,0,0,0.000000," ","integrate((x**3+x**2)**(1/3)/x,x)","\int \frac{\sqrt[3]{x^{2} \left(x + 1\right)}}{x}\, dx"," ",0,"Integral((x**2*(x + 1))**(1/3)/x, x)","F",0
1348,0,0,0,0.000000," ","integrate((x**3+1)**(2/3)*(x**3+2)/x**6/(2*x**3+1),x)","\int \frac{\left(\left(x + 1\right) \left(x^{2} - x + 1\right)\right)^{\frac{2}{3}} \left(x^{3} + 2\right)}{x^{6} \left(2 x^{3} + 1\right)}\, dx"," ",0,"Integral(((x + 1)*(x**2 - x + 1))**(2/3)*(x**3 + 2)/(x**6*(2*x**3 + 1)), x)","F",0
1349,-1,0,0,0.000000," ","integrate((x**4-3)*(x**4+1)**(1/3)/x**9,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1350,0,0,0,0.000000," ","integrate((a*x**3-b)/x**3/(a*x**4+b*x)**(1/4),x)","\int \frac{a x^{3} - b}{x^{3} \sqrt[4]{x \left(a x^{3} + b\right)}}\, dx"," ",0,"Integral((a*x**3 - b)/(x**3*(x*(a*x**3 + b))**(1/4)), x)","F",0
1351,0,0,0,0.000000," ","integrate((a*x**3+b)/x**3/(a*x**4+b*x)**(1/4),x)","\int \frac{a x^{3} + b}{x^{3} \sqrt[4]{x \left(a x^{3} + b\right)}}\, dx"," ",0,"Integral((a*x**3 + b)/(x**3*(x*(a*x**3 + b))**(1/4)), x)","F",0
1352,1,31,0,1.491570," ","integrate(1/x**13/(x**6+1)**(1/3),x)","- \frac{\Gamma\left(\frac{7}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{7}{3} \\ \frac{10}{3} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{6}}} \right)}}{6 x^{14} \Gamma\left(\frac{10}{3}\right)}"," ",0,"-gamma(7/3)*hyper((1/3, 7/3), (10/3,), exp_polar(I*pi)/x**6)/(6*x**14*gamma(10/3))","C",0
1353,-1,0,0,0.000000," ","integrate((5*x**8-3)/(x**8+1)/(x**8-x**3+1)**(1/3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1354,0,0,0,0.000000," ","integrate((x+(1+x)**(1/2))**(1/2)/(1+(1+x)**(1/2)),x)","\int \frac{\sqrt{x + \sqrt{x + 1}}}{\sqrt{x + 1} + 1}\, dx"," ",0,"Integral(sqrt(x + sqrt(x + 1))/(sqrt(x + 1) + 1), x)","F",0
1355,0,0,0,0.000000," ","integrate((x+(x**2+1)**(1/2))/(1+(x+(x**2+1)**(1/2))**(1/2)),x)","\int \frac{x + \sqrt{x^{2} + 1}}{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\, dx"," ",0,"Integral((x + sqrt(x**2 + 1))/(sqrt(x + sqrt(x**2 + 1)) + 1), x)","F",0
1356,0,0,0,0.000000," ","integrate(x**2/(a*x**2-2*b)/(a*x**2-b)**(3/4),x)","\int \frac{x^{2}}{\left(a x^{2} - 2 b\right) \left(a x^{2} - b\right)^{\frac{3}{4}}}\, dx"," ",0,"Integral(x**2/((a*x**2 - 2*b)*(a*x**2 - b)**(3/4)), x)","F",0
1357,-1,0,0,0.000000," ","integrate((-2*k-(-1+k)*(1+k)*x+2*k*x**2)*(k**2*x**2-2*k*x+1)/((-x**2+1)*(-k**2*x**2+1))**(3/4)/(1-d+(1+3*d)*k*x-(3*d*k**2+1)*x**2+k*(d*k**2-1)*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1358,0,0,0,0.000000," ","integrate((x**2-1)*(x**2+1)*(x**4+3*x**2+1)**(1/2)/x**2/(x**2+x+1)**2,x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \sqrt{x^{4} + 3 x^{2} + 1}}{x^{2} \left(x^{2} + x + 1\right)^{2}}\, dx"," ",0,"Integral((x - 1)*(x + 1)*(x**2 + 1)*sqrt(x**4 + 3*x**2 + 1)/(x**2*(x**2 + x + 1)**2), x)","F",0
1359,0,0,0,0.000000," ","integrate((x**2+2)*(2*x**2+x-4)*(2*x**4-7*x**2+8)**(1/2)/x**4,x)","\int \frac{\left(x^{2} + 2\right) \left(2 x^{2} + x - 4\right) \sqrt{2 x^{4} - 7 x^{2} + 8}}{x^{4}}\, dx"," ",0,"Integral((x**2 + 2)*(2*x**2 + x - 4)*sqrt(2*x**4 - 7*x**2 + 8)/x**4, x)","F",0
1360,1,42,0,1.322255," ","integrate(x**4*(a*x**4-b)**(3/4),x)","\frac{b^{\frac{3}{4}} x^{5} e^{\frac{3 i \pi}{4}} \Gamma\left(\frac{5}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, \frac{5}{4} \\ \frac{9}{4} \end{matrix}\middle| {\frac{a x^{4}}{b}} \right)}}{4 \Gamma\left(\frac{9}{4}\right)}"," ",0,"b**(3/4)*x**5*exp(3*I*pi/4)*gamma(5/4)*hyper((-3/4, 5/4), (9/4,), a*x**4/b)/(4*gamma(9/4))","C",0
1361,0,0,0,0.000000," ","integrate((a*x**2-2*b)*(a*x**4+b*x**2)**(1/4)/x**2,x)","\int \frac{\sqrt[4]{x^{2} \left(a x^{2} + b\right)} \left(a x^{2} - 2 b\right)}{x^{2}}\, dx"," ",0,"Integral((x**2*(a*x**2 + b))**(1/4)*(a*x**2 - 2*b)/x**2, x)","F",0
1362,0,0,0,0.000000," ","integrate((a*x**2+2*b)*(a*x**4+b*x**2)**(1/4)/x**2,x)","\int \frac{\sqrt[4]{x^{2} \left(a x^{2} + b\right)} \left(a x^{2} + 2 b\right)}{x^{2}}\, dx"," ",0,"Integral((x**2*(a*x**2 + b))**(1/4)*(a*x**2 + 2*b)/x**2, x)","F",0
1363,-1,0,0,0.000000," ","integrate(((-3*k**2+1)*x+2*k**2*x**3)/((-x**2+1)*(-k**2*x**2+1))**(1/4)/(-1+d+(3*k**2-d)*x**2-3*k**4*x**4+k**6*x**6),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1364,-1,0,0,0.000000," ","integrate((a*x**4-b)/(a*x**4+b)**(1/4)/(x**8-a*x**4+b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1365,-1,0,0,0.000000," ","integrate((a*x**4-b)/(a*x**4+b)**(1/4)/(x**8-a*x**4+b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1366,0,0,0,0.000000," ","integrate((x**5+4)*(x**10+x**9+x**8-2*x**5-x**4+1)/x**2/(x**5-1)**(3/4)/(x**10-x**9-x**8-2*x**5+x**4+1),x)","\int \frac{\left(x^{5} + 4\right) \left(x^{10} + x^{9} + x^{8} - 2 x^{5} - x^{4} + 1\right)}{x^{2} \left(\left(x - 1\right) \left(x^{4} + x^{3} + x^{2} + x + 1\right)\right)^{\frac{3}{4}} \left(x^{10} - x^{9} - x^{8} - 2 x^{5} + x^{4} + 1\right)}\, dx"," ",0,"Integral((x**5 + 4)*(x**10 + x**9 + x**8 - 2*x**5 - x**4 + 1)/(x**2*((x - 1)*(x**4 + x**3 + x**2 + x + 1))**(3/4)*(x**10 - x**9 - x**8 - 2*x**5 + x**4 + 1)), x)","F",0
1367,0,0,0,0.000000," ","integrate((x**5+4)*(x**10+x**9+x**8-2*x**5-x**4+1)/x**2/(x**5-1)**(3/4)/(x**10-x**9-x**8-2*x**5+x**4+1),x)","\int \frac{\left(x^{5} + 4\right) \left(x^{10} + x^{9} + x^{8} - 2 x^{5} - x^{4} + 1\right)}{x^{2} \left(\left(x - 1\right) \left(x^{4} + x^{3} + x^{2} + x + 1\right)\right)^{\frac{3}{4}} \left(x^{10} - x^{9} - x^{8} - 2 x^{5} + x^{4} + 1\right)}\, dx"," ",0,"Integral((x**5 + 4)*(x**10 + x**9 + x**8 - 2*x**5 - x**4 + 1)/(x**2*((x - 1)*(x**4 + x**3 + x**2 + x + 1))**(3/4)*(x**10 - x**9 - x**8 - 2*x**5 + x**4 + 1)), x)","F",0
1368,0,0,0,0.000000," ","integrate(1/(a*x**2+(a**2*x**4+b)**(1/2))**(1/2),x)","\int \frac{1}{\sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}\, dx"," ",0,"Integral(1/sqrt(a*x**2 + sqrt(a**2*x**4 + b)), x)","F",0
1369,1,88,0,9.769851," ","integrate((2*a*x**2-3*b)*(a**2*x**2+b**2)**(3/4)/x,x)","\frac{3 a^{\frac{3}{2}} b x^{\frac{3}{2}} \Gamma\left(- \frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, - \frac{3}{4} \\ \frac{1}{4} \end{matrix}\middle| {\frac{b^{2} e^{i \pi}}{a^{2} x^{2}}} \right)}}{2 \Gamma\left(\frac{1}{4}\right)} + 2 a \left(\begin{cases} \frac{x^{2} \left(b^{2}\right)^{\frac{3}{4}}}{2} & \text{for}\: a^{2} = 0 \\\frac{2 \left(a^{2} x^{2} + b^{2}\right)^{\frac{7}{4}}}{7 a^{2}} & \text{otherwise} \end{cases}\right)"," ",0,"3*a**(3/2)*b*x**(3/2)*gamma(-3/4)*hyper((-3/4, -3/4), (1/4,), b**2*exp_polar(I*pi)/(a**2*x**2))/(2*gamma(1/4)) + 2*a*Piecewise((x**2*(b**2)**(3/4)/2, Eq(a**2, 0)), (2*(a**2*x**2 + b**2)**(7/4)/(7*a**2), True))","A",0
1370,0,0,0,0.000000," ","integrate((-1+x)/(x**2-2*x-2)/(x**3-1)**(1/2),x)","\int \frac{x - 1}{\sqrt{\left(x - 1\right) \left(x^{2} + x + 1\right)} \left(x^{2} - 2 x - 2\right)}\, dx"," ",0,"Integral((x - 1)/(sqrt((x - 1)*(x**2 + x + 1))*(x**2 - 2*x - 2)), x)","F",0
1371,0,0,0,0.000000," ","integrate((x**2-x+3)/(x**2-2*x-2)/(x**3-1)**(1/2),x)","\int \frac{x^{2} - x + 3}{\sqrt{\left(x - 1\right) \left(x^{2} + x + 1\right)} \left(x^{2} - 2 x - 2\right)}\, dx"," ",0,"Integral((x**2 - x + 3)/(sqrt((x - 1)*(x**2 + x + 1))*(x**2 - 2*x - 2)), x)","F",0
1372,0,0,0,0.000000," ","integrate((x**2+2*x)/(x**2-2*x-2)/(x**3-1)**(1/2),x)","\int \frac{x \left(x + 2\right)}{\sqrt{\left(x - 1\right) \left(x^{2} + x + 1\right)} \left(x^{2} - 2 x - 2\right)}\, dx"," ",0,"Integral(x*(x + 2)/(sqrt((x - 1)*(x**2 + x + 1))*(x**2 - 2*x - 2)), x)","F",0
1373,-1,0,0,0.000000," ","integrate((x**3-1)**(1/3)*(x**3+1)/x**7,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1374,-1,0,0,0.000000," ","integrate((x**3-1)**(1/3)*(2*x**3-1)/x**7,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1375,-1,0,0,0.000000," ","integrate((a**2-2*a*x+x**2)*(-2*a*b*x+(3*a-b)*x**2)/(x**2*(-a+x)*(-b+x))**(3/4)/(a**3*d-3*a**2*d*x+(3*a*d-b)*x**2+(1-d)*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1376,-1,0,0,0.000000," ","integrate((x**2+1)/((2*x**2-x-2)/(x**2+x-1))**(1/2)/(x**4-x**2+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1377,0,0,0,0.000000," ","integrate((a*x**4-2*b)/x**4/(a*x**4+b)/(a*x**4-b*x**2)**(1/4),x)","\int \frac{a x^{4} - 2 b}{x^{4} \sqrt[4]{x^{2} \left(a x^{2} - b\right)} \left(a x^{4} + b\right)}\, dx"," ",0,"Integral((a*x**4 - 2*b)/(x**4*(x**2*(a*x**2 - b))**(1/4)*(a*x**4 + b)), x)","F",0
1378,0,0,0,0.000000," ","integrate((a*x**4-2*b)/x**4/(a*x**4+b)/(a*x**4-b*x**2)**(1/4),x)","\int \frac{a x^{4} - 2 b}{x^{4} \sqrt[4]{x^{2} \left(a x^{2} - b\right)} \left(a x^{4} + b\right)}\, dx"," ",0,"Integral((a*x**4 - 2*b)/(x**4*(x**2*(a*x**2 - b))**(1/4)*(a*x**4 + b)), x)","F",0
1379,0,0,0,0.000000," ","integrate((a*x**4+b*x**3)**(1/4),x)","\int \sqrt[4]{a x^{4} + b x^{3}}\, dx"," ",0,"Integral((a*x**4 + b*x**3)**(1/4), x)","F",0
1380,1,32,0,1.600762," ","integrate(1/x**13/(x**6-1)**(1/3),x)","- \frac{\Gamma\left(\frac{7}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{7}{3} \\ \frac{10}{3} \end{matrix}\middle| {\frac{e^{2 i \pi}}{x^{6}}} \right)}}{6 x^{14} \Gamma\left(\frac{10}{3}\right)}"," ",0,"-gamma(7/3)*hyper((1/3, 7/3), (10/3,), exp_polar(2*I*pi)/x**6)/(6*x**14*gamma(10/3))","C",0
1381,-1,0,0,0.000000," ","integrate((2*a*x**4+b)/(a*x**4+b)**(1/4)/(x**8-a*x**4-2*b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1382,-1,0,0,0.000000," ","integrate((a*x**4+2*b)/(a*x**4+b*x**2)**(1/4)/(2*x**8-a*x**4-b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1383,-1,0,0,0.000000," ","integrate((a*x**4+2*b)/(a*x**4+b*x**2)**(1/4)/(2*x**8-a*x**4-b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1384,-1,0,0,0.000000," ","integrate((2*x**2-1)*(4*x**4-4*x**2+4*x-1)/((-2*x**2+1)/(2*x**2+1))**(1/2)/(2*x**2+1)/(8*x**8-32*x**7+56*x**6-64*x**5+46*x**4-40*x**3+32*x**2-8*x-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1385,0,0,0,0.000000," ","integrate((x**2+1)**(1/2)/(x**2+(x+(x**2+1)**(1/2))**(1/2)),x)","\int \frac{\sqrt{x^{2} + 1}}{x^{2} + \sqrt{x + \sqrt{x^{2} + 1}}}\, dx"," ",0,"Integral(sqrt(x**2 + 1)/(x**2 + sqrt(x + sqrt(x**2 + 1))), x)","F",0
1386,0,0,0,0.000000," ","integrate((x**2+1)**(1/2)/(x**2+(x+(x**2+1)**(1/2))**(1/2)),x)","\int \frac{\sqrt{x^{2} + 1}}{x^{2} + \sqrt{x + \sqrt{x^{2} + 1}}}\, dx"," ",0,"Integral(sqrt(x**2 + 1)/(x**2 + sqrt(x + sqrt(x**2 + 1))), x)","F",0
1387,0,0,0,0.000000," ","integrate((k*x**2+1)/(c*k*x+k*x**2-1)/((-x**2+1)*(-k**2*x**2+1))**(1/2),x)","\int \frac{k x^{2} + 1}{\sqrt{\left(x - 1\right) \left(x + 1\right) \left(k x - 1\right) \left(k x + 1\right)} \left(c k x + k x^{2} - 1\right)}\, dx"," ",0,"Integral((k*x**2 + 1)/(sqrt((x - 1)*(x + 1)*(k*x - 1)*(k*x + 1))*(c*k*x + k*x**2 - 1)), x)","F",0
1388,0,0,0,0.000000," ","integrate((k*x**2-1)/(c*k*x+k*x**2+1)/((-x**2+1)*(-k**2*x**2+1))**(1/2),x)","\int \frac{k x^{2} - 1}{\sqrt{\left(x - 1\right) \left(x + 1\right) \left(k x - 1\right) \left(k x + 1\right)} \left(c k x + k x^{2} + 1\right)}\, dx"," ",0,"Integral((k*x**2 - 1)/(sqrt((x - 1)*(x + 1)*(k*x - 1)*(k*x + 1))*(c*k*x + k*x**2 + 1)), x)","F",0
1389,0,0,0,0.000000," ","integrate(x**2*(x**3+x)**(1/3),x)","\int x^{2} \sqrt[3]{x \left(x^{2} + 1\right)}\, dx"," ",0,"Integral(x**2*(x*(x**2 + 1))**(1/3), x)","F",0
1390,-1,0,0,0.000000," ","integrate((x**2+2*x+6)/(x**2+2)**(1/3)/(x**3-2*x**2+3*x+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1391,0,0,0,0.000000," ","integrate((x**3+x**2)**(1/3)/x**2,x)","\int \frac{\sqrt[3]{x^{2} \left(x + 1\right)}}{x^{2}}\, dx"," ",0,"Integral((x**2*(x + 1))**(1/3)/x**2, x)","F",0
1392,-1,0,0,0.000000," ","integrate((x**4+1)**(1/3)*(x**4+3)/x**13,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1393,-1,0,0,0.000000," ","integrate((x**4-1)**(2/3)*(x**4+3)*(x**4+x**3-1)/x**6/(x**4-x**3-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1394,-1,0,0,0.000000," ","integrate((x**4-3)*(x**4+1)**(2/3)*(x**4+x**3+1)/x**6/(x**4-x**3+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1395,0,0,0,0.000000," ","integrate((a*x**2-b)/(x**4+a*x**2+b)/(a*x**4+b*x**2)**(1/4),x)","\int \frac{a x^{2} - b}{\sqrt[4]{x^{2} \left(a x^{2} + b\right)} \left(a x^{2} + b + x^{4}\right)}\, dx"," ",0,"Integral((a*x**2 - b)/((x**2*(a*x**2 + b))**(1/4)*(a*x**2 + b + x**4)), x)","F",0
1396,0,0,0,0.000000," ","integrate((a*x**2-b)/(x**4+a*x**2+b)/(a*x**4+b*x**2)**(1/4),x)","\int \frac{a x^{2} - b}{\sqrt[4]{x^{2} \left(a x^{2} + b\right)} \left(a x^{2} + b + x^{4}\right)}\, dx"," ",0,"Integral((a*x**2 - b)/((x**2*(a*x**2 + b))**(1/4)*(a*x**2 + b + x**4)), x)","F",0
1397,-1,0,0,0.000000," ","integrate((x**3-1)*(x**3+1)**(2/3)/x**3/(x**6-x**3-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1398,-1,0,0,0.000000," ","integrate((x**3-1)*(x**3+1)**(2/3)/x**3/(x**6-x**3-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1399,0,0,0,0.000000," ","integrate((2*x**7+1)**(1/3)*(8*x**7-3)/x**2/(2*x**7+x**3+1),x)","\int \frac{\sqrt[3]{2 x^{7} + 1} \left(8 x^{7} - 3\right)}{x^{2} \left(2 x^{7} + x^{3} + 1\right)}\, dx"," ",0,"Integral((2*x**7 + 1)**(1/3)*(8*x**7 - 3)/(x**2*(2*x**7 + x**3 + 1)), x)","F",0
1400,-1,0,0,0.000000," ","integrate((2*a*x**4-b)/(a*x**4+b)**(1/4)/(x**8+a*x**4-b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1401,-1,0,0,0.000000," ","integrate((2*a*x**4-b)/(a*x**4+b)**(1/4)/(x**8+a*x**4-b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1402,-1,0,0,0.000000," ","integrate((3*x**4-1)*(x**8+x**5+2*x**4+x+1)**(1/2)/x**2/(4*x**4+x+4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1403,1,168,0,3.172303," ","integrate((a*x**8+c*x**4-b)/x**2/(a*x**4-b)**(3/4),x)","- \frac{a x^{7} e^{\frac{i \pi}{4}} \Gamma\left(\frac{7}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{7}{4} \\ \frac{11}{4} \end{matrix}\middle| {\frac{a x^{4}}{b}} \right)}}{4 b^{\frac{3}{4}} \Gamma\left(\frac{11}{4}\right)} - b \left(\begin{cases} - \frac{\sqrt[4]{a} \sqrt[4]{-1 + \frac{b}{a x^{4}}} e^{\frac{i \pi}{4}} \Gamma\left(- \frac{1}{4}\right)}{4 b \Gamma\left(\frac{3}{4}\right)} & \text{for}\: \left|{\frac{b}{a x^{4}}}\right| > 1 \\- \frac{\sqrt[4]{a} \sqrt[4]{1 - \frac{b}{a x^{4}}} \Gamma\left(- \frac{1}{4}\right)}{4 b \Gamma\left(\frac{3}{4}\right)} & \text{otherwise} \end{cases}\right) + \frac{c x^{3} e^{- \frac{3 i \pi}{4}} \Gamma\left(\frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{3}{4} \\ \frac{7}{4} \end{matrix}\middle| {\frac{a x^{4}}{b}} \right)}}{4 b^{\frac{3}{4}} \Gamma\left(\frac{7}{4}\right)}"," ",0,"-a*x**7*exp(I*pi/4)*gamma(7/4)*hyper((3/4, 7/4), (11/4,), a*x**4/b)/(4*b**(3/4)*gamma(11/4)) - b*Piecewise((-a**(1/4)*(-1 + b/(a*x**4))**(1/4)*exp(I*pi/4)*gamma(-1/4)/(4*b*gamma(3/4)), Abs(b/(a*x**4)) > 1), (-a**(1/4)*(1 - b/(a*x**4))**(1/4)*gamma(-1/4)/(4*b*gamma(3/4)), True)) + c*x**3*exp(-3*I*pi/4)*gamma(3/4)*hyper((3/4, 3/4), (7/4,), a*x**4/b)/(4*b**(3/4)*gamma(7/4))","C",0
1404,0,0,0,0.000000," ","integrate(1/(1+x)/(x+(x**2+1)**(1/2))**(1/2),x)","\int \frac{1}{\left(x + 1\right) \sqrt{x + \sqrt{x^{2} + 1}}}\, dx"," ",0,"Integral(1/((x + 1)*sqrt(x + sqrt(x**2 + 1))), x)","F",0
1405,0,0,0,0.000000," ","integrate(1/x/(a*x+(a**2*x**2+b**2)**(1/2))**(1/2),x)","\int \frac{1}{x \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}}\, dx"," ",0,"Integral(1/(x*sqrt(a*x + sqrt(a**2*x**2 + b**2))), x)","F",0
1406,0,0,0,0.000000," ","integrate((-3+x)**6*(x**2-x-1)**(3/2)/(-1+x),x)","\int \frac{\left(x - 3\right)^{6} \left(x^{2} - x - 1\right)^{\frac{3}{2}}}{x - 1}\, dx"," ",0,"Integral((x - 3)**6*(x**2 - x - 1)**(3/2)/(x - 1), x)","F",0
1407,1,87,0,2.052653," ","integrate((x**3-1)*(x**3+1)**(1/3)/x**5,x)","- \frac{\sqrt[3]{1 + \frac{1}{x^{3}}} \Gamma\left(- \frac{4}{3}\right)}{3 \Gamma\left(- \frac{1}{3}\right)} + \frac{\Gamma\left(- \frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, - \frac{1}{3} \\ \frac{2}{3} \end{matrix}\middle| {x^{3} e^{i \pi}} \right)}}{3 x \Gamma\left(\frac{2}{3}\right)} - \frac{\sqrt[3]{1 + \frac{1}{x^{3}}} \Gamma\left(- \frac{4}{3}\right)}{3 x^{3} \Gamma\left(- \frac{1}{3}\right)}"," ",0,"-(1 + x**(-3))**(1/3)*gamma(-4/3)/(3*gamma(-1/3)) + gamma(-1/3)*hyper((-1/3, -1/3), (2/3,), x**3*exp_polar(I*pi))/(3*x*gamma(2/3)) - (1 + x**(-3))**(1/3)*gamma(-4/3)/(3*x**3*gamma(-1/3))","C",0
1408,1,65,0,2.161360," ","integrate((x**3-1)*(x**3+1)**(1/3)/x**2,x)","\frac{x^{2} \Gamma\left(\frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, \frac{2}{3} \\ \frac{5}{3} \end{matrix}\middle| {x^{3} e^{i \pi}} \right)}}{3 \Gamma\left(\frac{5}{3}\right)} - \frac{\Gamma\left(- \frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, - \frac{1}{3} \\ \frac{2}{3} \end{matrix}\middle| {x^{3} e^{i \pi}} \right)}}{3 x \Gamma\left(\frac{2}{3}\right)}"," ",0,"x**2*gamma(2/3)*hyper((-1/3, 2/3), (5/3,), x**3*exp_polar(I*pi))/(3*gamma(5/3)) - gamma(-1/3)*hyper((-1/3, -1/3), (2/3,), x**3*exp_polar(I*pi))/(3*x*gamma(2/3))","C",0
1409,1,165,0,2.134015," ","integrate((x**3-1)**(1/3)*(x**3+1)/x**5,x)","\begin{cases} \frac{\sqrt[3]{-1 + \frac{1}{x^{3}}} e^{- \frac{2 i \pi}{3}} \Gamma\left(- \frac{4}{3}\right)}{3 \Gamma\left(- \frac{1}{3}\right)} - \frac{\sqrt[3]{-1 + \frac{1}{x^{3}}} e^{- \frac{2 i \pi}{3}} \Gamma\left(- \frac{4}{3}\right)}{3 x^{3} \Gamma\left(- \frac{1}{3}\right)} & \text{for}\: \frac{1}{\left|{x^{3}}\right|} > 1 \\- \frac{\sqrt[3]{1 - \frac{1}{x^{3}}} \Gamma\left(- \frac{4}{3}\right)}{3 \Gamma\left(- \frac{1}{3}\right)} + \frac{\sqrt[3]{1 - \frac{1}{x^{3}}} \Gamma\left(- \frac{4}{3}\right)}{3 x^{3} \Gamma\left(- \frac{1}{3}\right)} & \text{otherwise} \end{cases} + \frac{e^{\frac{i \pi}{3}} \Gamma\left(- \frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, - \frac{1}{3} \\ \frac{2}{3} \end{matrix}\middle| {x^{3}} \right)}}{3 x \Gamma\left(\frac{2}{3}\right)}"," ",0,"Piecewise(((-1 + x**(-3))**(1/3)*exp(-2*I*pi/3)*gamma(-4/3)/(3*gamma(-1/3)) - (-1 + x**(-3))**(1/3)*exp(-2*I*pi/3)*gamma(-4/3)/(3*x**3*gamma(-1/3)), 1/Abs(x**3) > 1), (-(1 - 1/x**3)**(1/3)*gamma(-4/3)/(3*gamma(-1/3)) + (1 - 1/x**3)**(1/3)*gamma(-4/3)/(3*x**3*gamma(-1/3)), True)) + exp(I*pi/3)*gamma(-1/3)*hyper((-1/3, -1/3), (2/3,), x**3)/(3*x*gamma(2/3))","C",0
1410,0,0,0,0.000000," ","integrate(x/(x**2+1)/(x**3-x**2-x)**(1/2),x)","\int \frac{x}{\sqrt{x \left(x^{2} - x - 1\right)} \left(x^{2} + 1\right)}\, dx"," ",0,"Integral(x/(sqrt(x*(x**2 - x - 1))*(x**2 + 1)), x)","F",0
1411,0,0,0,0.000000," ","integrate((x**2+x-1)/(x**2+1)/(x**3-x**2-x)**(1/2),x)","\int \frac{x^{2} + x - 1}{\sqrt{x \left(x^{2} - x - 1\right)} \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x**2 + x - 1)/(sqrt(x*(x**2 - x - 1))*(x**2 + 1)), x)","F",0
1412,0,0,0,0.000000," ","integrate(x/(x**3+x**2)**(1/3),x)","\int \frac{x}{\sqrt[3]{x^{2} \left(x + 1\right)}}\, dx"," ",0,"Integral(x/(x**2*(x + 1))**(1/3), x)","F",0
1413,0,0,0,0.000000," ","integrate(1/x**6/(x**3+1)/(x**3+x**2)**(1/3),x)","\int \frac{1}{x^{6} \sqrt[3]{x^{2} \left(x + 1\right)} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(1/(x**6*(x**2*(x + 1))**(1/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
1414,0,0,0,0.000000," ","integrate(1/x**6/(x**3+1)/(x**3+x**2)**(1/3),x)","\int \frac{1}{x^{6} \sqrt[3]{x^{2} \left(x + 1\right)} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(1/(x**6*(x**2*(x + 1))**(1/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
1415,1,167,0,2.347276," ","integrate((x**3-1)**(1/3)*(2*x**3-1)/x**5,x)","- \begin{cases} \frac{\sqrt[3]{-1 + \frac{1}{x^{3}}} e^{- \frac{2 i \pi}{3}} \Gamma\left(- \frac{4}{3}\right)}{3 \Gamma\left(- \frac{1}{3}\right)} - \frac{\sqrt[3]{-1 + \frac{1}{x^{3}}} e^{- \frac{2 i \pi}{3}} \Gamma\left(- \frac{4}{3}\right)}{3 x^{3} \Gamma\left(- \frac{1}{3}\right)} & \text{for}\: \frac{1}{\left|{x^{3}}\right|} > 1 \\- \frac{\sqrt[3]{1 - \frac{1}{x^{3}}} \Gamma\left(- \frac{4}{3}\right)}{3 \Gamma\left(- \frac{1}{3}\right)} + \frac{\sqrt[3]{1 - \frac{1}{x^{3}}} \Gamma\left(- \frac{4}{3}\right)}{3 x^{3} \Gamma\left(- \frac{1}{3}\right)} & \text{otherwise} \end{cases} + \frac{2 e^{\frac{i \pi}{3}} \Gamma\left(- \frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, - \frac{1}{3} \\ \frac{2}{3} \end{matrix}\middle| {x^{3}} \right)}}{3 x \Gamma\left(\frac{2}{3}\right)}"," ",0,"-Piecewise(((-1 + x**(-3))**(1/3)*exp(-2*I*pi/3)*gamma(-4/3)/(3*gamma(-1/3)) - (-1 + x**(-3))**(1/3)*exp(-2*I*pi/3)*gamma(-4/3)/(3*x**3*gamma(-1/3)), 1/Abs(x**3) > 1), (-(1 - 1/x**3)**(1/3)*gamma(-4/3)/(3*gamma(-1/3)) + (1 - 1/x**3)**(1/3)*gamma(-4/3)/(3*x**3*gamma(-1/3)), True)) + 2*exp(I*pi/3)*gamma(-1/3)*hyper((-1/3, -1/3), (2/3,), x**3)/(3*x*gamma(2/3))","C",0
1416,0,0,0,0.000000," ","integrate((x**3-1)**(2/3)*(3*x**3-1)/x**6/(2*x**3-1),x)","\int \frac{\left(\left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{2}{3}} \left(3 x^{3} - 1\right)}{x^{6} \left(2 x^{3} - 1\right)}\, dx"," ",0,"Integral(((x - 1)*(x**2 + x + 1))**(2/3)*(3*x**3 - 1)/(x**6*(2*x**3 - 1)), x)","F",0
1417,0,0,0,0.000000," ","integrate(x**4/(x**4-1)**2/(x**4+x**2)**(1/4),x)","\int \frac{x^{4}}{\sqrt[4]{x^{2} \left(x^{2} + 1\right)} \left(x - 1\right)^{2} \left(x + 1\right)^{2} \left(x^{2} + 1\right)^{2}}\, dx"," ",0,"Integral(x**4/((x**2*(x**2 + 1))**(1/4)*(x - 1)**2*(x + 1)**2*(x**2 + 1)**2), x)","F",0
1418,0,0,0,0.000000," ","integrate((x**2+1)*(x**4+x**3)**(1/4)/x**2/(x**2-1),x)","\int \frac{\sqrt[4]{x^{3} \left(x + 1\right)} \left(x^{2} + 1\right)}{x^{2} \left(x - 1\right) \left(x + 1\right)}\, dx"," ",0,"Integral((x**3*(x + 1))**(1/4)*(x**2 + 1)/(x**2*(x - 1)*(x + 1)), x)","F",0
1419,-1,0,0,0.000000," ","integrate((x**3+4)*(x**4-x**3-1)/x**2/(x**3+1)**(3/4)/(x**4+x**3+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1420,0,0,0,0.000000," ","integrate((2*x**4+x**2+1)/(x**2+1)**(1/4)/(x**4+3*x**2+2),x)","\int \frac{2 x^{4} + x^{2} + 1}{\left(x^{2} + 1\right)^{\frac{5}{4}} \left(x^{2} + 2\right)}\, dx"," ",0,"Integral((2*x**4 + x**2 + 1)/((x**2 + 1)**(5/4)*(x**2 + 2)), x)","F",0
1421,0,0,0,0.000000," ","integrate((a*x**2-b)*(a*x**4-b*x**2)**(1/4)/x**2,x)","\int \frac{\sqrt[4]{x^{2} \left(a x^{2} - b\right)} \left(a x^{2} - b\right)}{x^{2}}\, dx"," ",0,"Integral((x**2*(a*x**2 - b))**(1/4)*(a*x**2 - b)/x**2, x)","F",0
1422,0,0,0,0.000000," ","integrate((a*x**4+b)/x**4/(a*x**4+2*b)/(a*x**4+b*x**2)**(1/4),x)","\int \frac{a x^{4} + b}{x^{4} \sqrt[4]{x^{2} \left(a x^{2} + b\right)} \left(a x^{4} + 2 b\right)}\, dx"," ",0,"Integral((a*x**4 + b)/(x**4*(x**2*(a*x**2 + b))**(1/4)*(a*x**4 + 2*b)), x)","F",0
1423,0,0,0,0.000000," ","integrate((a*x**4+b)/x**4/(a*x**4+2*b)/(a*x**4+b*x**2)**(1/4),x)","\int \frac{a x^{4} + b}{x^{4} \sqrt[4]{x^{2} \left(a x^{2} + b\right)} \left(a x^{4} + 2 b\right)}\, dx"," ",0,"Integral((a*x**4 + b)/(x**4*(x**2*(a*x**2 + b))**(1/4)*(a*x**4 + 2*b)), x)","F",0
1424,0,0,0,0.000000," ","integrate((-x**4+1)/x**2/(a*x**4+b*x**3+c*x**2+b*x+a)**(1/2),x)","- \int \left(- \frac{1}{x^{2} \sqrt{a x^{4} + a + b x^{3} + b x + c x^{2}}}\right)\, dx - \int \frac{x^{2}}{\sqrt{a x^{4} + a + b x^{3} + b x + c x^{2}}}\, dx"," ",0,"-Integral(-1/(x**2*sqrt(a*x**4 + a + b*x**3 + b*x + c*x**2)), x) - Integral(x**2/sqrt(a*x**4 + a + b*x**3 + b*x + c*x**2), x)","F",0
1425,0,0,0,0.000000," ","integrate((x**2-1)/(x**2+1)/(x**6+x**2)**(1/4),x)","\int \frac{\left(x - 1\right) \left(x + 1\right)}{\sqrt[4]{x^{2} \left(x^{4} + 1\right)} \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x - 1)*(x + 1)/((x**2*(x**4 + 1))**(1/4)*(x**2 + 1)), x)","F",0
1426,0,0,0,0.000000," ","integrate((x**2-1)/(x**2+1)/(x**6+x**2)**(1/4),x)","\int \frac{\left(x - 1\right) \left(x + 1\right)}{\sqrt[4]{x^{2} \left(x^{4} + 1\right)} \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x - 1)*(x + 1)/((x**2*(x**4 + 1))**(1/4)*(x**2 + 1)), x)","F",0
1427,0,0,0,0.000000," ","integrate((x**4-x**3)**(1/4)*(x**8-1)/x**4,x)","\int \frac{\sqrt[4]{x^{3} \left(x - 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \left(x^{4} + 1\right)}{x^{4}}\, dx"," ",0,"Integral((x**3*(x - 1))**(1/4)*(x - 1)*(x + 1)*(x**2 + 1)*(x**4 + 1)/x**4, x)","F",0
1428,-1,0,0,0.000000," ","integrate((x**4+1)**(1/4)*(x**4+2)/x**2/(x**8+2*x**4-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1429,-1,0,0,0.000000," ","integrate((x**4+1)**(1/4)*(x**4+2)/x**2/(x**8+2*x**4-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1430,0,0,0,0.000000," ","integrate((2*a*x**4-b)/(a*x**4-b)**(1/4)/(a*x**8-b),x)","\int \frac{2 a x^{4} - b}{\sqrt[4]{a x^{4} - b} \left(a x^{8} - b\right)}\, dx"," ",0,"Integral((2*a*x**4 - b)/((a*x**4 - b)**(1/4)*(a*x**8 - b)), x)","F",0
1431,0,0,0,0.000000," ","integrate((2*x**6+1)**(1/2)*(4*x**6-1)/(8*x**12+8*x**6+x**4+2),x)","\int \frac{\left(2 x^{3} - 1\right) \left(2 x^{3} + 1\right) \sqrt{2 x^{6} + 1}}{8 x^{12} + 8 x^{6} + x^{4} + 2}\, dx"," ",0,"Integral((2*x**3 - 1)*(2*x**3 + 1)*sqrt(2*x**6 + 1)/(8*x**12 + 8*x**6 + x**4 + 2), x)","F",0
1432,0,0,0,0.000000," ","integrate((x**2-1)*(1+(1+x)**(1/2))**(1/2)/(x**2+1),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \sqrt{\sqrt{x + 1} + 1}}{x^{2} + 1}\, dx"," ",0,"Integral((x - 1)*(x + 1)*sqrt(sqrt(x + 1) + 1)/(x**2 + 1), x)","F",0
1433,0,0,0,0.000000," ","integrate((x**2-1)*(1+(1+x)**(1/2))**(1/2)/(x**2+1),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \sqrt{\sqrt{x + 1} + 1}}{x^{2} + 1}\, dx"," ",0,"Integral((x - 1)*(x + 1)*sqrt(sqrt(x + 1) + 1)/(x**2 + 1), x)","F",0
1434,1,17,0,1.254567," ","integrate(x**2*(x**2+(x**4+1)**(1/2))**(1/2),x)","- \frac{{G_{3, 3}^{2, 2}\left(\begin{matrix} 2, 1 & \frac{3}{2} \\\frac{3}{4}, \frac{5}{4} & 0 \end{matrix} \middle| {x^{4}} \right)}}{16 \sqrt{\pi}}"," ",0,"-meijerg(((2, 1), (3/2,)), ((3/4, 5/4), (0,)), x**4)/(16*sqrt(pi))","A",0
1435,1,32,0,4.522218," ","integrate((x**4-1)*(x**2+(x**4+1)**(1/2))**(1/2)/(x**4+1)**(1/2),x)","- \frac{{G_{3, 3}^{2, 2}\left(\begin{matrix} 1, 1 & \frac{1}{2} \\\frac{1}{4}, \frac{3}{4} & 0 \end{matrix} \middle| {x^{4}} \right)}}{4 \sqrt{\pi}} + \frac{{G_{3, 3}^{2, 2}\left(\begin{matrix} 2, 1 & \frac{3}{2} \\\frac{5}{4}, \frac{7}{4} & 0 \end{matrix} \middle| {x^{4}} \right)}}{4 \sqrt{\pi}}"," ",0,"-meijerg(((1, 1), (1/2,)), ((1/4, 3/4), (0,)), x**4)/(4*sqrt(pi)) + meijerg(((2, 1), (3/2,)), ((5/4, 7/4), (0,)), x**4)/(4*sqrt(pi))","A",0
1436,0,0,0,0.000000," ","integrate((x**4+1)**(1/2)*(x**2+(x**4+1)**(1/2))**(1/2),x)","\int \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{x^{4} + 1}\, dx"," ",0,"Integral(sqrt(x**2 + sqrt(x**4 + 1))*sqrt(x**4 + 1), x)","F",0
1437,1,34,0,1.034656," ","integrate(x**3*(x**3-1)**(2/3),x)","\frac{x^{4} e^{\frac{2 i \pi}{3}} \Gamma\left(\frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, \frac{4}{3} \\ \frac{7}{3} \end{matrix}\middle| {x^{3}} \right)}}{3 \Gamma\left(\frac{7}{3}\right)}"," ",0,"x**4*exp(2*I*pi/3)*gamma(4/3)*hyper((-2/3, 4/3), (7/3,), x**3)/(3*gamma(7/3))","C",0
1438,1,31,0,0.969765," ","integrate(x**4*(x**3+1)**(1/3),x)","\frac{x^{5} \Gamma\left(\frac{5}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, \frac{5}{3} \\ \frac{8}{3} \end{matrix}\middle| {x^{3} e^{i \pi}} \right)}}{3 \Gamma\left(\frac{8}{3}\right)}"," ",0,"x**5*gamma(5/3)*hyper((-1/3, 5/3), (8/3,), x**3*exp_polar(I*pi))/(3*gamma(8/3))","C",0
1439,1,31,0,1.003742," ","integrate(x**3*(x**3+1)**(2/3),x)","\frac{x^{4} \Gamma\left(\frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, \frac{4}{3} \\ \frac{7}{3} \end{matrix}\middle| {x^{3} e^{i \pi}} \right)}}{3 \Gamma\left(\frac{7}{3}\right)}"," ",0,"x**4*gamma(4/3)*hyper((-2/3, 4/3), (7/3,), x**3*exp_polar(I*pi))/(3*gamma(7/3))","C",0
1440,0,0,0,0.000000," ","integrate((x**3-2)**(2/3)*(x**3+4)/x**6/(x**3-1),x)","\int \frac{\left(x^{3} - 2\right)^{\frac{2}{3}} \left(x^{3} + 4\right)}{x^{6} \left(x - 1\right) \left(x^{2} + x + 1\right)}\, dx"," ",0,"Integral((x**3 - 2)**(2/3)*(x**3 + 4)/(x**6*(x - 1)*(x**2 + x + 1)), x)","F",0
1441,-1,0,0,0.000000," ","integrate((a*x**2+3*b)/(a*x**2+x**3+b)/(a*x**3+b*x)**(1/4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1442,-1,0,0,0.000000," ","integrate((x**4-3)*(x**4+1)**(1/3)/x**13,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1443,0,0,0,0.000000," ","integrate((a*x**2-2*b)/(a*x**2-b)**(1/4)/(x**4+a*x**2-b),x)","\int \frac{a x^{2} - 2 b}{\sqrt[4]{a x^{2} - b} \left(a x^{2} - b + x^{4}\right)}\, dx"," ",0,"Integral((a*x**2 - 2*b)/((a*x**2 - b)**(1/4)*(a*x**2 - b + x**4)), x)","F",0
1444,-1,0,0,0.000000," ","integrate((a*x**3-4*b)/(a*x**3-b)**(1/4)/(a*x**3+x**4-b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1445,0,0,0,0.000000," ","integrate((a*x**2+b)/(x**4-a*x**2+b)/(a*x**4-b*x**2)**(1/4),x)","\int \frac{a x^{2} + b}{\sqrt[4]{x^{2} \left(a x^{2} - b\right)} \left(- a x^{2} + b + x^{4}\right)}\, dx"," ",0,"Integral((a*x**2 + b)/((x**2*(a*x**2 - b))**(1/4)*(-a*x**2 + b + x**4)), x)","F",0
1446,0,0,0,0.000000," ","integrate((a*x**2+b)/(x**4-a*x**2+b)/(a*x**4-b*x**2)**(1/4),x)","\int \frac{a x^{2} + b}{\sqrt[4]{x^{2} \left(a x^{2} - b\right)} \left(- a x^{2} + b + x^{4}\right)}\, dx"," ",0,"Integral((a*x**2 + b)/((x**2*(a*x**2 - b))**(1/4)*(-a*x**2 + b + x**4)), x)","F",0
1447,0,0,0,0.000000," ","integrate((a*x**4+b)/x**4/(a*x**4-2*b)/(a*x**4+b*x**2)**(1/4),x)","\int \frac{a x^{4} + b}{x^{4} \sqrt[4]{x^{2} \left(a x^{2} + b\right)} \left(a x^{4} - 2 b\right)}\, dx"," ",0,"Integral((a*x**4 + b)/(x**4*(x**2*(a*x**2 + b))**(1/4)*(a*x**4 - 2*b)), x)","F",0
1448,0,0,0,0.000000," ","integrate((a*x**4+b)/x**4/(a*x**4-2*b)/(a*x**4+b*x**2)**(1/4),x)","\int \frac{a x^{4} + b}{x^{4} \sqrt[4]{x^{2} \left(a x^{2} + b\right)} \left(a x^{4} - 2 b\right)}\, dx"," ",0,"Integral((a*x**4 + b)/(x**4*(x**2*(a*x**2 + b))**(1/4)*(a*x**4 - 2*b)), x)","F",0
1449,-1,0,0,0.000000," ","integrate((x**3-1)*(x**3+1)**3*(x**6+1)**(2/3)/x**6/(x**6-x**3+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1450,-1,0,0,0.000000," ","integrate((x**6-1)**(2/3)*(x**6+1)*(2*x**6+x**3-2)/x**6/(x**6-x**3-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1451,0,0,0,0.000000," ","integrate(1/(a*x**4+b)**(1/4)/(x**8+a*x**4-b),x)","\int \frac{1}{\sqrt[4]{a x^{4} + b} \left(a x^{4} - b + x^{8}\right)}\, dx"," ",0,"Integral(1/((a*x**4 + b)**(1/4)*(a*x**4 - b + x**8)), x)","F",0
1452,0,0,0,0.000000," ","integrate(1/(a*x**4+b)**(1/4)/(x**8+a*x**4-b),x)","\int \frac{1}{\sqrt[4]{a x^{4} + b} \left(a x^{4} - b + x^{8}\right)}\, dx"," ",0,"Integral(1/((a*x**4 + b)**(1/4)*(a*x**4 - b + x**8)), x)","F",0
1453,-1,0,0,0.000000," ","integrate((a*x**4-b)/(a*x**4-b*x**2)**(1/4)/(2*x**8+2*a*x**4-b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1454,-1,0,0,0.000000," ","integrate((a*x**4-b)/(a*x**4-b*x**2)**(1/4)/(2*x**8+2*a*x**4-b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1455,0,0,0,0.000000," ","integrate((c*x**2-x*(a*x**2-b*x)**(1/2))**(1/2)/x**3,x)","\int \frac{\sqrt{x \left(c x - \sqrt{a x^{2} - b x}\right)}}{x^{3}}\, dx"," ",0,"Integral(sqrt(x*(c*x - sqrt(a*x**2 - b*x)))/x**3, x)","F",0
1456,0,0,0,0.000000," ","integrate(x/(x+(x+(x**2+1)**(1/2))**(1/2)),x)","\int \frac{x}{x + \sqrt{x + \sqrt{x^{2} + 1}}}\, dx"," ",0,"Integral(x/(x + sqrt(x + sqrt(x**2 + 1))), x)","F",0
1457,0,0,0,0.000000," ","integrate(x/(x+(x+(x**2+1)**(1/2))**(1/2)),x)","\int \frac{x}{x + \sqrt{x + \sqrt{x^{2} + 1}}}\, dx"," ",0,"Integral(x/(x + sqrt(x + sqrt(x**2 + 1))), x)","F",0
1458,0,0,0,0.000000," ","integrate((1+x)/(x**2+2*x-2)/(x**3+1)**(1/2),x)","\int \frac{x + 1}{\sqrt{\left(x + 1\right) \left(x^{2} - x + 1\right)} \left(x^{2} + 2 x - 2\right)}\, dx"," ",0,"Integral((x + 1)/(sqrt((x + 1)*(x**2 - x + 1))*(x**2 + 2*x - 2)), x)","F",0
1459,0,0,0,0.000000," ","integrate((x**2+x+3)/(x**2+2*x-2)/(x**3+1)**(1/2),x)","\int \frac{x^{2} + x + 3}{\sqrt{\left(x + 1\right) \left(x^{2} - x + 1\right)} \left(x^{2} + 2 x - 2\right)}\, dx"," ",0,"Integral((x**2 + x + 3)/(sqrt((x + 1)*(x**2 - x + 1))*(x**2 + 2*x - 2)), x)","F",0
1460,0,0,0,0.000000," ","integrate((2*x**2-x+3)/(x**2+2*x-2)/(x**3+1)**(1/2),x)","\int \frac{2 x^{2} - x + 3}{\sqrt{\left(x + 1\right) \left(x^{2} - x + 1\right)} \left(x^{2} + 2 x - 2\right)}\, dx"," ",0,"Integral((2*x**2 - x + 3)/(sqrt((x + 1)*(x**2 - x + 1))*(x**2 + 2*x - 2)), x)","F",0
1461,1,70,0,2.262866," ","integrate((x**3-1)**(2/3)*(x**3+1)/x**3,x)","- \frac{x e^{- \frac{i \pi}{3}} \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {x^{3}} \right)}}{3 \Gamma\left(\frac{4}{3}\right)} + \frac{e^{\frac{2 i \pi}{3}} \Gamma\left(- \frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, - \frac{2}{3} \\ \frac{1}{3} \end{matrix}\middle| {x^{3}} \right)}}{3 x^{2} \Gamma\left(\frac{1}{3}\right)}"," ",0,"-x*exp(-I*pi/3)*gamma(1/3)*hyper((-2/3, 1/3), (4/3,), x**3)/(3*gamma(4/3)) + exp(2*I*pi/3)*gamma(-2/3)*hyper((-2/3, -2/3), (1/3,), x**3)/(3*x**2*gamma(1/3))","C",0
1462,1,39,0,1.752612," ","integrate(x**8*(a*x**4+b)**(3/4),x)","\frac{b^{\frac{3}{4}} x^{9} \Gamma\left(\frac{9}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, \frac{9}{4} \\ \frac{13}{4} \end{matrix}\middle| {\frac{a x^{4} e^{i \pi}}{b}} \right)}}{4 \Gamma\left(\frac{13}{4}\right)}"," ",0,"b**(3/4)*x**9*gamma(9/4)*hyper((-3/4, 9/4), (13/4,), a*x**4*exp_polar(I*pi)/b)/(4*gamma(13/4))","C",0
1463,0,0,0,0.000000," ","integrate(1/(a*x**3-b)/(a*x**4+b*x)**(1/4),x)","\int \frac{1}{\sqrt[4]{x \left(a x^{3} + b\right)} \left(a x^{3} - b\right)}\, dx"," ",0,"Integral(1/((x*(a*x**3 + b))**(1/4)*(a*x**3 - b)), x)","F",0
1464,-1,0,0,0.000000," ","integrate((x**3-2)*(x**3+1)**(2/3)/x**3/(2*x**6+x**3-2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1465,-1,0,0,0.000000," ","integrate((x**3-2)*(x**3+1)**(2/3)/x**3/(2*x**6+x**3-2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1466,-1,0,0,0.000000," ","integrate(x**2*(x**4-2)/(x**5-x)**(1/3)/(x**8+x**4-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1467,-1,0,0,0.000000," ","integrate((2*a*x**4-b)/(a*x**4-b)**(1/4)/(x**8-a*x**4-b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1468,-1,0,0,0.000000," ","integrate((a*x**4-2*b)/(a*x**4+b)**(1/4)/(x**8+a*x**4-2*b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1469,0,0,0,0.000000," ","integrate(1/x**2/(a*x+(a**2*x**2+b**2)**(1/2))**(1/2),x)","\int \frac{1}{x^{2} \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}}\, dx"," ",0,"Integral(1/(x**2*sqrt(a*x + sqrt(a**2*x**2 + b**2))), x)","F",0
1470,1,34,0,1.418075," ","integrate((x**3-1)**(1/3)/x**10,x)","- \frac{\Gamma\left(\frac{8}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, \frac{8}{3} \\ \frac{11}{3} \end{matrix}\middle| {\frac{e^{2 i \pi}}{x^{3}}} \right)}}{3 x^{8} \Gamma\left(\frac{11}{3}\right)}"," ",0,"-gamma(8/3)*hyper((-1/3, 8/3), (11/3,), exp_polar(2*I*pi)/x**3)/(3*x**8*gamma(11/3))","C",0
1471,1,32,0,1.003367," ","integrate(x**4*(x**3-1)**(1/3),x)","\frac{x^{5} e^{\frac{i \pi}{3}} \Gamma\left(\frac{5}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, \frac{5}{3} \\ \frac{8}{3} \end{matrix}\middle| {x^{3}} \right)}}{3 \Gamma\left(\frac{8}{3}\right)}"," ",0,"x**5*exp(I*pi/3)*gamma(5/3)*hyper((-1/3, 5/3), (8/3,), x**3)/(3*gamma(8/3))","C",0
1472,0,0,0,0.000000," ","integrate((x**3-x)**(1/3),x)","\int \sqrt[3]{x^{3} - x}\, dx"," ",0,"Integral((x**3 - x)**(1/3), x)","F",0
1473,-1,0,0,0.000000," ","integrate((x**3-1)**(1/3)*(2*x**3-1)/x**10,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1474,-1,0,0,0.000000," ","integrate((k**3*x**3+1)/((1-x)*x*(-k**2*x+1))**(1/2)/(k**3*x**3-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1475,-1,0,0,0.000000," ","integrate((x**4-3)*(x**4+1)**(2/3)*(x**4+2*x**3+1)/x**6/(x**4-x**3+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1476,0,0,0,0.000000," ","integrate((a*x**4+b)**(3/4)/x**4/(a*x**4+2*b),x)","\int \frac{\left(a x^{4} + b\right)^{\frac{3}{4}}}{x^{4} \left(a x^{4} + 2 b\right)}\, dx"," ",0,"Integral((a*x**4 + b)**(3/4)/(x**4*(a*x**4 + 2*b)), x)","F",0
1477,0,0,0,0.000000," ","integrate((a*x**3-b)/x**3/(a*x**4-b*x)**(1/4),x)","\int \frac{a x^{3} - b}{x^{3} \sqrt[4]{x \left(a x^{3} - b\right)}}\, dx"," ",0,"Integral((a*x**3 - b)/(x**3*(x*(a*x**3 - b))**(1/4)), x)","F",0
1478,0,0,0,0.000000," ","integrate((a*x**3+b)/x**3/(a*x**4-b*x)**(1/4),x)","\int \frac{a x^{3} + b}{x^{3} \sqrt[4]{x \left(a x^{3} - b\right)}}\, dx"," ",0,"Integral((a*x**3 + b)/(x**3*(x*(a*x**3 - b))**(1/4)), x)","F",0
1479,0,0,0,0.000000," ","integrate((a*x**4-b*x)**(1/4)/x**2,x)","\int \frac{\sqrt[4]{x \left(a x^{3} - b\right)}}{x^{2}}\, dx"," ",0,"Integral((x*(a*x**3 - b))**(1/4)/x**2, x)","F",0
1480,0,0,0,0.000000," ","integrate(1/(x**4-a*x**2+b)/(a*x**4-b*x**2)**(1/4),x)","\int \frac{1}{\sqrt[4]{x^{2} \left(a x^{2} - b\right)} \left(- a x^{2} + b + x^{4}\right)}\, dx"," ",0,"Integral(1/((x**2*(a*x**2 - b))**(1/4)*(-a*x**2 + b + x**4)), x)","F",0
1481,0,0,0,0.000000," ","integrate(1/(x**4-a*x**2+b)/(a*x**4-b*x**2)**(1/4),x)","\int \frac{1}{\sqrt[4]{x^{2} \left(a x^{2} - b\right)} \left(- a x^{2} + b + x^{4}\right)}\, dx"," ",0,"Integral(1/((x**2*(a*x**2 - b))**(1/4)*(-a*x**2 + b + x**4)), x)","F",0
1482,1,141,0,2.177757," ","integrate((a*x**4-b)/x**4/(2*a*x**4-b)**(1/4),x)","\frac{a x e^{- \frac{i \pi}{4}} \Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{4}, \frac{1}{4} \\ \frac{5}{4} \end{matrix}\middle| {\frac{2 a x^{4}}{b}} \right)}}{4 \sqrt[4]{b} \Gamma\left(\frac{5}{4}\right)} - b \left(\begin{cases} - \frac{2^{\frac{3}{4}} a^{\frac{3}{4}} \left(-1 + \frac{b}{2 a x^{4}}\right)^{\frac{3}{4}} e^{\frac{3 i \pi}{4}} \Gamma\left(- \frac{3}{4}\right)}{4 b \Gamma\left(\frac{1}{4}\right)} & \text{for}\: \frac{\left|{\frac{b}{a x^{4}}}\right|}{2} > 1 \\- \frac{2^{\frac{3}{4}} a^{\frac{3}{4}} \left(1 - \frac{b}{2 a x^{4}}\right)^{\frac{3}{4}} \Gamma\left(- \frac{3}{4}\right)}{4 b \Gamma\left(\frac{1}{4}\right)} & \text{otherwise} \end{cases}\right)"," ",0,"a*x*exp(-I*pi/4)*gamma(1/4)*hyper((1/4, 1/4), (5/4,), 2*a*x**4/b)/(4*b**(1/4)*gamma(5/4)) - b*Piecewise((-2**(3/4)*a**(3/4)*(-1 + b/(2*a*x**4))**(3/4)*exp(3*I*pi/4)*gamma(-3/4)/(4*b*gamma(1/4)), Abs(b/(a*x**4))/2 > 1), (-2**(3/4)*a**(3/4)*(1 - b/(2*a*x**4))**(3/4)*gamma(-3/4)/(4*b*gamma(1/4)), True))","C",0
1483,-1,0,0,0.000000," ","integrate(x**4*(a*x**5+4*b)/(a*x**5-b)**2/(a*x**5+c*x**4-b)**(1/4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1484,1,32,0,2.410811," ","integrate(1/x**19/(x**6-1)**(1/3),x)","- \frac{\Gamma\left(\frac{10}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{10}{3} \\ \frac{13}{3} \end{matrix}\middle| {\frac{e^{2 i \pi}}{x^{6}}} \right)}}{6 x^{20} \Gamma\left(\frac{13}{3}\right)}"," ",0,"-gamma(10/3)*hyper((1/3, 10/3), (13/3,), exp_polar(2*I*pi)/x**6)/(6*x**20*gamma(13/3))","C",0
1485,1,34,0,0.942586," ","integrate(x**7/(x**6-1)**(1/3),x)","- \frac{x^{8} e^{\frac{2 i \pi}{3}} \Gamma\left(\frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{4}{3} \\ \frac{7}{3} \end{matrix}\middle| {x^{6}} \right)}}{6 \Gamma\left(\frac{7}{3}\right)}"," ",0,"-x**8*exp(2*I*pi/3)*gamma(4/3)*hyper((1/3, 4/3), (7/3,), x**6)/(6*gamma(7/3))","C",0
1486,1,36,0,0.913833," ","integrate(x**3*(x**6-1)**(1/3),x)","- \frac{x^{4} e^{- \frac{2 i \pi}{3}} \Gamma\left(\frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, \frac{2}{3} \\ \frac{5}{3} \end{matrix}\middle| {x^{6}} \right)}}{6 \Gamma\left(\frac{5}{3}\right)}"," ",0,"-x**4*exp(-2*I*pi/3)*gamma(2/3)*hyper((-1/3, 2/3), (5/3,), x**6)/(6*gamma(5/3))","C",0
1487,1,34,0,0.904864," ","integrate(x*(x**6-1)**(2/3),x)","- \frac{x^{2} e^{- \frac{i \pi}{3}} \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {x^{6}} \right)}}{6 \Gamma\left(\frac{4}{3}\right)}"," ",0,"-x**2*exp(-I*pi/3)*gamma(1/3)*hyper((-2/3, 1/3), (4/3,), x**6)/(6*gamma(4/3))","C",0
1488,1,29,0,0.925332," ","integrate(x**7/(x**6+1)**(1/3),x)","\frac{x^{8} \Gamma\left(\frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{4}{3} \\ \frac{7}{3} \end{matrix}\middle| {x^{6} e^{i \pi}} \right)}}{6 \Gamma\left(\frac{7}{3}\right)}"," ",0,"x**8*gamma(4/3)*hyper((1/3, 4/3), (7/3,), x**6*exp_polar(I*pi))/(6*gamma(7/3))","C",0
1489,1,31,0,0.861071," ","integrate(x**3*(x**6+1)**(1/3),x)","\frac{x^{4} \Gamma\left(\frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, \frac{2}{3} \\ \frac{5}{3} \end{matrix}\middle| {x^{6} e^{i \pi}} \right)}}{6 \Gamma\left(\frac{5}{3}\right)}"," ",0,"x**4*gamma(2/3)*hyper((-1/3, 2/3), (5/3,), x**6*exp_polar(I*pi))/(6*gamma(5/3))","C",0
1490,1,31,0,0.876110," ","integrate(x*(x**6+1)**(2/3),x)","\frac{x^{2} \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {x^{6} e^{i \pi}} \right)}}{6 \Gamma\left(\frac{4}{3}\right)}"," ",0,"x**2*gamma(1/3)*hyper((-2/3, 1/3), (4/3,), x**6*exp_polar(I*pi))/(6*gamma(4/3))","C",0
1491,0,0,0,0.000000," ","integrate((x**5-x**3+1)*(2*x**5-3)/x**3/(x**5+x**3+1)/(x**6+x)**(1/4),x)","\int \frac{\left(2 x^{5} - 3\right) \left(x^{5} - x^{3} + 1\right)}{x^{3} \sqrt[4]{x \left(x + 1\right) \left(x^{4} - x^{3} + x^{2} - x + 1\right)} \left(x^{5} + x^{3} + 1\right)}\, dx"," ",0,"Integral((2*x**5 - 3)*(x**5 - x**3 + 1)/(x**3*(x*(x + 1)*(x**4 - x**3 + x**2 - x + 1))**(1/4)*(x**5 + x**3 + 1)), x)","F",0
1492,0,0,0,0.000000," ","integrate(x/(x**6-x**2)**(1/3),x)","\int \frac{x}{\sqrt[3]{x^{2} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}}\, dx"," ",0,"Integral(x/(x**2*(x - 1)*(x + 1)*(x**2 + 1))**(1/3), x)","F",0
1493,-1,0,0,0.000000," ","integrate((x**3-1)**(2/3)*(x**3+2)/x**3/(x**6+x**3-4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1494,-1,0,0,0.000000," ","integrate((x**3-1)**(2/3)*(x**3+2)/x**3/(x**6+x**3-4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1495,0,0,0,0.000000," ","integrate((-3+2*x)*(x**3-x+1)**(2/3)/(2*x**6-2*x**4+2*x**3+x**2-2*x+1),x)","\int \frac{\left(2 x - 3\right) \left(x^{3} - x + 1\right)^{\frac{2}{3}}}{2 x^{6} - 2 x^{4} + 2 x^{3} + x^{2} - 2 x + 1}\, dx"," ",0,"Integral((2*x - 3)*(x**3 - x + 1)**(2/3)/(2*x**6 - 2*x**4 + 2*x**3 + x**2 - 2*x + 1), x)","F",0
1496,-1,0,0,0.000000," ","integrate((x**6-2)*(x**6+4)*(x**6+2*x**4-2)**(1/4)/x**6/(2*x**6-x**4-4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1497,0,0,0,0.000000," ","integrate((x**3+1)**(2/3)*(3*x**6-1)/x**9/(2*x**3+1),x)","\int \frac{\left(\left(x + 1\right) \left(x^{2} - x + 1\right)\right)^{\frac{2}{3}} \left(3 x^{6} - 1\right)}{x^{9} \left(2 x^{3} + 1\right)}\, dx"," ",0,"Integral(((x + 1)*(x**2 - x + 1))**(2/3)*(3*x**6 - 1)/(x**9*(2*x**3 + 1)), x)","F",0
1498,0,0,0,0.000000," ","integrate((-x**4+1)**(1/2)*(x**4+1)/(x**8-x**4+1),x)","\int \frac{\sqrt{- \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)} \left(x^{4} + 1\right)}{x^{8} - x^{4} + 1}\, dx"," ",0,"Integral(sqrt(-(x - 1)*(x + 1)*(x**2 + 1))*(x**4 + 1)/(x**8 - x**4 + 1), x)","F",0
1499,0,0,0,0.000000," ","integrate(x**2/(a*x**4+b)**(3/4)/(a**2*x**8-b**2),x)","\int \frac{x^{2}}{\left(a x^{4} - b\right) \left(a x^{4} + b\right)^{\frac{7}{4}}}\, dx"," ",0,"Integral(x**2/((a*x**4 - b)*(a*x**4 + b)**(7/4)), x)","F",0
1500,0,0,0,0.000000," ","integrate((1+(x**2+1)**(1/2))**(1/2)/(x+(x**2+1)**(1/2)),x)","\int \frac{\sqrt{\sqrt{x^{2} + 1} + 1}}{x + \sqrt{x^{2} + 1}}\, dx"," ",0,"Integral(sqrt(sqrt(x**2 + 1) + 1)/(x + sqrt(x**2 + 1)), x)","F",0
1501,0,0,0,0.000000," ","integrate((2+x)**2/x/(x**2-2*x+4)/(x**2+x+1)**(1/3),x)","\int \frac{\left(x + 2\right)^{2}}{x \left(x^{2} - 2 x + 4\right) \sqrt[3]{x^{2} + x + 1}}\, dx"," ",0,"Integral((x + 2)**2/(x*(x**2 - 2*x + 4)*(x**2 + x + 1)**(1/3)), x)","F",0
1502,0,0,0,0.000000," ","integrate(1/(a*x**2-2*b)/(a*x**2-b)**(1/4),x)","\int \frac{1}{\left(a x^{2} - 2 b\right) \sqrt[4]{a x^{2} - b}}\, dx"," ",0,"Integral(1/((a*x**2 - 2*b)*(a*x**2 - b)**(1/4)), x)","F",0
1503,1,82,0,2.161448," ","integrate((-1+x)/x**7/(x**3+1)**(1/3),x)","\frac{\left(x^{3} + 1\right)^{\frac{2}{3}} \Gamma\left(- \frac{5}{3}\right)}{3 x^{2} \Gamma\left(\frac{1}{3}\right)} - \frac{2 \left(x^{3} + 1\right)^{\frac{2}{3}} \Gamma\left(- \frac{5}{3}\right)}{9 x^{5} \Gamma\left(\frac{1}{3}\right)} + \frac{\Gamma\left(\frac{7}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{7}{3} \\ \frac{10}{3} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{3}}} \right)}}{3 x^{7} \Gamma\left(\frac{10}{3}\right)}"," ",0,"(x**3 + 1)**(2/3)*gamma(-5/3)/(3*x**2*gamma(1/3)) - 2*(x**3 + 1)**(2/3)*gamma(-5/3)/(9*x**5*gamma(1/3)) + gamma(7/3)*hyper((1/3, 7/3), (10/3,), exp_polar(I*pi)/x**3)/(3*x**7*gamma(10/3))","C",0
1504,-1,0,0,0.000000," ","integrate((a*x**2+2*b*x+3*c)/(a*x**2+b*x+c)**(1/3)/(a*x**2+x**3+b*x+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1505,0,0,0,0.000000," ","integrate((a*x**2-b)/(a*x**4+b)/(a*x**4+b*x**2)**(1/4),x)","\int \frac{a x^{2} - b}{\sqrt[4]{x^{2} \left(a x^{2} + b\right)} \left(a x^{4} + b\right)}\, dx"," ",0,"Integral((a*x**2 - b)/((x**2*(a*x**2 + b))**(1/4)*(a*x**4 + b)), x)","F",0
1506,0,0,0,0.000000," ","integrate((a*x**2-b)/(a*x**4+b)/(a*x**4+b*x**2)**(1/4),x)","\int \frac{a x^{2} - b}{\sqrt[4]{x^{2} \left(a x^{2} + b\right)} \left(a x^{4} + b\right)}\, dx"," ",0,"Integral((a*x**2 - b)/((x**2*(a*x**2 + b))**(1/4)*(a*x**4 + b)), x)","F",0
1507,-1,0,0,0.000000," ","integrate((a*x**4+b*x**2)**(1/4)/x**4/(a*x**4+b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1508,-1,0,0,0.000000," ","integrate((a*x**4+b*x**2)**(1/4)/x**4/(a*x**4+b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1509,-1,0,0,0.000000," ","integrate((a*x**4+b*x**2)**(1/4)/x**4/(a*x**4+b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1510,0,0,0,0.000000," ","integrate(x*(5*x**2+3)/(x**2+1)**(1/3)/(x**5+x**3-1),x)","\int \frac{x \left(5 x^{2} + 3\right)}{\sqrt[3]{x^{2} + 1} \left(x^{5} + x^{3} - 1\right)}\, dx"," ",0,"Integral(x*(5*x**2 + 3)/((x**2 + 1)**(1/3)*(x**5 + x**3 - 1)), x)","F",0
1511,0,0,0,0.000000," ","integrate((x**5-1)**(2/3)*(2*x**5+3)*(2*x**5+x**3-2)/x**6/(x**5+x**3-1),x)","\int \frac{\left(\left(x - 1\right) \left(x^{4} + x^{3} + x^{2} + x + 1\right)\right)^{\frac{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)}\, dx"," ",0,"Integral(((x - 1)*(x**4 + x**3 + x**2 + x + 1))**(2/3)*(2*x**5 + 3)*(2*x**5 + x**3 - 2)/(x**6*(x**5 + x**3 - 1)), x)","F",0
1512,1,175,0,3.220575," ","integrate((x**3+1)**(2/3)*(x**6+x**3-2)/x**9,x)","\frac{\left(1 + \frac{1}{x^{3}}\right)^{\frac{2}{3}} \Gamma\left(- \frac{5}{3}\right)}{3 \Gamma\left(- \frac{2}{3}\right)} - \frac{2 \left(x^{3} + 1\right)^{\frac{2}{3}} \Gamma\left(- \frac{8}{3}\right)}{3 x^{2} \Gamma\left(- \frac{2}{3}\right)} + \frac{\Gamma\left(- \frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, - \frac{2}{3} \\ \frac{1}{3} \end{matrix}\middle| {x^{3} e^{i \pi}} \right)}}{3 x^{2} \Gamma\left(\frac{1}{3}\right)} + \frac{\left(1 + \frac{1}{x^{3}}\right)^{\frac{2}{3}} \Gamma\left(- \frac{5}{3}\right)}{3 x^{3} \Gamma\left(- \frac{2}{3}\right)} + \frac{4 \left(x^{3} + 1\right)^{\frac{2}{3}} \Gamma\left(- \frac{8}{3}\right)}{9 x^{5} \Gamma\left(- \frac{2}{3}\right)} + \frac{10 \left(x^{3} + 1\right)^{\frac{2}{3}} \Gamma\left(- \frac{8}{3}\right)}{9 x^{8} \Gamma\left(- \frac{2}{3}\right)}"," ",0,"(1 + x**(-3))**(2/3)*gamma(-5/3)/(3*gamma(-2/3)) - 2*(x**3 + 1)**(2/3)*gamma(-8/3)/(3*x**2*gamma(-2/3)) + gamma(-2/3)*hyper((-2/3, -2/3), (1/3,), x**3*exp_polar(I*pi))/(3*x**2*gamma(1/3)) + (1 + x**(-3))**(2/3)*gamma(-5/3)/(3*x**3*gamma(-2/3)) + 4*(x**3 + 1)**(2/3)*gamma(-8/3)/(9*x**5*gamma(-2/3)) + 10*(x**3 + 1)**(2/3)*gamma(-8/3)/(9*x**8*gamma(-2/3))","C",0
1513,-1,0,0,0.000000," ","integrate((x**6-1)**(2/3)*(x**6+1)*(x**6-x**3-1)/x**6/(x**6+x**3-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1514,1,461,0,3.575524," ","integrate((x**3-1)**(2/3)*(x**6+2*x**3-2)/x**9,x)","2 \left(\begin{cases} \frac{\left(-1 + \frac{1}{x^{3}}\right)^{\frac{2}{3}} e^{- \frac{i \pi}{3}} \Gamma\left(- \frac{5}{3}\right)}{3 \Gamma\left(- \frac{2}{3}\right)} - \frac{\left(-1 + \frac{1}{x^{3}}\right)^{\frac{2}{3}} e^{- \frac{i \pi}{3}} \Gamma\left(- \frac{5}{3}\right)}{3 x^{3} \Gamma\left(- \frac{2}{3}\right)} & \text{for}\: \frac{1}{\left|{x^{3}}\right|} > 1 \\- \frac{\left(1 - \frac{1}{x^{3}}\right)^{\frac{2}{3}} \Gamma\left(- \frac{5}{3}\right)}{3 \Gamma\left(- \frac{2}{3}\right)} + \frac{\left(1 - \frac{1}{x^{3}}\right)^{\frac{2}{3}} \Gamma\left(- \frac{5}{3}\right)}{3 x^{3} \Gamma\left(- \frac{2}{3}\right)} & \text{otherwise} \end{cases}\right) - 2 \left(\begin{cases} \frac{\left(-1 + \frac{1}{x^{3}}\right)^{\frac{2}{3}} e^{\frac{2 i \pi}{3}} \Gamma\left(- \frac{8}{3}\right)}{3 \Gamma\left(- \frac{2}{3}\right)} + \frac{2 \left(-1 + \frac{1}{x^{3}}\right)^{\frac{2}{3}} e^{\frac{2 i \pi}{3}} \Gamma\left(- \frac{8}{3}\right)}{9 x^{3} \Gamma\left(- \frac{2}{3}\right)} - \frac{5 \left(-1 + \frac{1}{x^{3}}\right)^{\frac{2}{3}} e^{\frac{2 i \pi}{3}} \Gamma\left(- \frac{8}{3}\right)}{9 x^{6} \Gamma\left(- \frac{2}{3}\right)} & \text{for}\: \frac{1}{\left|{x^{3}}\right|} > 1 \\\frac{3 x^{6} \left(1 - \frac{1}{x^{3}}\right)^{\frac{2}{3}} \Gamma\left(- \frac{8}{3}\right)}{9 x^{6} \Gamma\left(- \frac{2}{3}\right) - 9 x^{3} \Gamma\left(- \frac{2}{3}\right)} - \frac{x^{3} \left(1 - \frac{1}{x^{3}}\right)^{\frac{2}{3}} \Gamma\left(- \frac{8}{3}\right)}{9 x^{6} \Gamma\left(- \frac{2}{3}\right) - 9 x^{3} \Gamma\left(- \frac{2}{3}\right)} + \frac{5 \left(1 - \frac{1}{x^{3}}\right)^{\frac{2}{3}} \Gamma\left(- \frac{8}{3}\right)}{9 x^{9} \Gamma\left(- \frac{2}{3}\right) - 9 x^{6} \Gamma\left(- \frac{2}{3}\right)} - \frac{7 \left(1 - \frac{1}{x^{3}}\right)^{\frac{2}{3}} \Gamma\left(- \frac{8}{3}\right)}{9 x^{6} \Gamma\left(- \frac{2}{3}\right) - 9 x^{3} \Gamma\left(- \frac{2}{3}\right)} & \text{otherwise} \end{cases}\right) + \frac{e^{\frac{2 i \pi}{3}} \Gamma\left(- \frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, - \frac{2}{3} \\ \frac{1}{3} \end{matrix}\middle| {x^{3}} \right)}}{3 x^{2} \Gamma\left(\frac{1}{3}\right)}"," ",0,"2*Piecewise(((-1 + x**(-3))**(2/3)*exp(-I*pi/3)*gamma(-5/3)/(3*gamma(-2/3)) - (-1 + x**(-3))**(2/3)*exp(-I*pi/3)*gamma(-5/3)/(3*x**3*gamma(-2/3)), 1/Abs(x**3) > 1), (-(1 - 1/x**3)**(2/3)*gamma(-5/3)/(3*gamma(-2/3)) + (1 - 1/x**3)**(2/3)*gamma(-5/3)/(3*x**3*gamma(-2/3)), True)) - 2*Piecewise(((-1 + x**(-3))**(2/3)*exp(2*I*pi/3)*gamma(-8/3)/(3*gamma(-2/3)) + 2*(-1 + x**(-3))**(2/3)*exp(2*I*pi/3)*gamma(-8/3)/(9*x**3*gamma(-2/3)) - 5*(-1 + x**(-3))**(2/3)*exp(2*I*pi/3)*gamma(-8/3)/(9*x**6*gamma(-2/3)), 1/Abs(x**3) > 1), (3*x**6*(1 - 1/x**3)**(2/3)*gamma(-8/3)/(9*x**6*gamma(-2/3) - 9*x**3*gamma(-2/3)) - x**3*(1 - 1/x**3)**(2/3)*gamma(-8/3)/(9*x**6*gamma(-2/3) - 9*x**3*gamma(-2/3)) + 5*(1 - 1/x**3)**(2/3)*gamma(-8/3)/(9*x**9*gamma(-2/3) - 9*x**6*gamma(-2/3)) - 7*(1 - 1/x**3)**(2/3)*gamma(-8/3)/(9*x**6*gamma(-2/3) - 9*x**3*gamma(-2/3)), True)) + exp(2*I*pi/3)*gamma(-2/3)*hyper((-2/3, -2/3), (1/3,), x**3)/(3*x**2*gamma(1/3))","C",0
1515,0,0,0,0.000000," ","integrate((x**4-2)/(x**4+1)**(1/4)/(x**8+x**4-2),x)","\int \frac{x^{4} - 2}{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \sqrt[4]{x^{4} + 1} \left(x^{4} + 2\right)}\, dx"," ",0,"Integral((x**4 - 2)/((x - 1)*(x + 1)*(x**2 + 1)*(x**4 + 1)**(1/4)*(x**4 + 2)), x)","F",0
1516,-1,0,0,0.000000," ","integrate((x**4-1)**(1/4)*(x**4+2)/x**2/(x**8+2*x**4+2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1517,-1,0,0,0.000000," ","integrate((x**4-1)**(1/4)*(x**4+2)/x**2/(x**8+2*x**4+2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1518,1,107,0,2.950146," ","integrate((x**8-2*a*x**4-2*b)/x**4/(a*x**4+b)**(1/4),x)","- \frac{a^{\frac{3}{4}} \left(1 + \frac{b}{a x^{4}}\right)^{\frac{3}{4}} \Gamma\left(- \frac{3}{4}\right)}{2 \Gamma\left(\frac{1}{4}\right)} - \frac{a x \Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{4}, \frac{1}{4} \\ \frac{5}{4} \end{matrix}\middle| {\frac{a x^{4} e^{i \pi}}{b}} \right)}}{2 \sqrt[4]{b} \Gamma\left(\frac{5}{4}\right)} + \frac{x^{5} \Gamma\left(\frac{5}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{4}, \frac{5}{4} \\ \frac{9}{4} \end{matrix}\middle| {\frac{a x^{4} e^{i \pi}}{b}} \right)}}{4 \sqrt[4]{b} \Gamma\left(\frac{9}{4}\right)}"," ",0,"-a**(3/4)*(1 + b/(a*x**4))**(3/4)*gamma(-3/4)/(2*gamma(1/4)) - a*x*gamma(1/4)*hyper((1/4, 1/4), (5/4,), a*x**4*exp_polar(I*pi)/b)/(2*b**(1/4)*gamma(5/4)) + x**5*gamma(5/4)*hyper((1/4, 5/4), (9/4,), a*x**4*exp_polar(I*pi)/b)/(4*b**(1/4)*gamma(9/4))","C",0
1519,0,0,0,0.000000," ","integrate((2*x**8-2*x**4+1)/(x**4+1)**(1/4)/(x**8-x**4-2),x)","\int \frac{2 x^{8} - 2 x^{4} + 1}{\left(x^{4} - 2\right) \left(x^{4} + 1\right)^{\frac{5}{4}}}\, dx"," ",0,"Integral((2*x**8 - 2*x**4 + 1)/((x**4 - 2)*(x**4 + 1)**(5/4)), x)","F",0
1520,0,0,0,0.000000," ","integrate((x**8+x**3+1)**(2/3)*(5*x**8-3)/x**3/(x**8+1),x)","\int \frac{\left(5 x^{8} - 3\right) \left(x^{8} + x^{3} + 1\right)^{\frac{2}{3}}}{x^{3} \left(x^{8} + 1\right)}\, dx"," ",0,"Integral((5*x**8 - 3)*(x**8 + x**3 + 1)**(2/3)/(x**3*(x**8 + 1)), x)","F",0
1521,0,0,0,0.000000," ","integrate((2*a*x**8-b)/(a*x**4+b)**(1/4)/(a*x**8-b),x)","\int \frac{2 a x^{8} - b}{\sqrt[4]{a x^{4} + b} \left(a x^{8} - b\right)}\, dx"," ",0,"Integral((2*a*x**8 - b)/((a*x**4 + b)**(1/4)*(a*x**8 - b)), x)","F",0
1522,0,0,0,0.000000," ","integrate((x**6-x**2-1)**(1/2)*(2*x**6+1)/(8*x**12-16*x**6-x**4+8),x)","\int \frac{\left(2 x^{6} + 1\right) \sqrt{x^{6} - x^{2} - 1}}{8 x^{12} - 16 x^{6} - x^{4} + 8}\, dx"," ",0,"Integral((2*x**6 + 1)*sqrt(x**6 - x**2 - 1)/(8*x**12 - 16*x**6 - x**4 + 8), x)","F",0
1523,0,0,0,0.000000," ","integrate(1/(x**2+1)/(x+(x**2+1)**(1/2))**(1/2),x)","\int \frac{1}{\sqrt{x + \sqrt{x^{2} + 1}} \left(x^{2} + 1\right)}\, dx"," ",0,"Integral(1/(sqrt(x + sqrt(x**2 + 1))*(x**2 + 1)), x)","F",0
1524,0,0,0,0.000000," ","integrate((x-(x**2+1)**(1/2))**(1/2)/(x**2+(x**2+1)**(1/2)),x)","\int \frac{\sqrt{x - \sqrt{x^{2} + 1}}}{x^{2} + \sqrt{x^{2} + 1}}\, dx"," ",0,"Integral(sqrt(x - sqrt(x**2 + 1))/(x**2 + sqrt(x**2 + 1)), x)","F",0
1525,0,0,0,0.000000," ","integrate((a*x**2+(a**2*x**4+b)**(1/2))**(1/2)/x**2,x)","\int \frac{\sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}{x^{2}}\, dx"," ",0,"Integral(sqrt(a*x**2 + sqrt(a**2*x**4 + b))/x**2, x)","F",0
1526,0,0,0,0.000000," ","integrate((-1+x)/(1+x)/(1+(1+(1+x)**(1/2))**(1/2))**(1/2),x)","\int \frac{x - 1}{\left(x + 1\right) \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}}\, dx"," ",0,"Integral((x - 1)/((x + 1)*sqrt(sqrt(sqrt(x + 1) + 1) + 1)), x)","F",0
1527,0,0,0,0.000000," ","integrate(1/(-2+x)/(x**2+2*x+1)**(1/3),x)","\int \frac{1}{\left(x - 2\right) \sqrt[3]{\left(x + 1\right)^{2}}}\, dx"," ",0,"Integral(1/((x - 2)*((x + 1)**2)**(1/3)), x)","F",0
1528,0,0,0,0.000000," ","integrate((x**3-x)**(1/3)/x**2,x)","\int \frac{\sqrt[3]{x \left(x - 1\right) \left(x + 1\right)}}{x^{2}}\, dx"," ",0,"Integral((x*(x - 1)*(x + 1))**(1/3)/x**2, x)","F",0
1529,0,0,0,0.000000," ","integrate((x**3-x**2)**(1/3)/x,x)","\int \frac{\sqrt[3]{x^{2} \left(x - 1\right)}}{x}\, dx"," ",0,"Integral((x**2*(x - 1))**(1/3)/x, x)","F",0
1530,-1,0,0,0.000000," ","integrate((a*x**2-3*b)/(a*x**2+x**3-b)/(a*x**3-b*x)**(1/4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1531,0,0,0,0.000000," ","integrate(1/(a*x-2*b)/(a*x**3-b*x**2)**(1/4),x)","\int \frac{1}{\sqrt[4]{x^{2} \left(a x - b\right)} \left(a x - 2 b\right)}\, dx"," ",0,"Integral(1/((x**2*(a*x - b))**(1/4)*(a*x - 2*b)), x)","F",0
1532,-1,0,0,0.000000," ","integrate((a*x**4-b)*(a*x**4-b*x**2)**(1/4)/x**4/(a*x**4+b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1533,-1,0,0,0.000000," ","integrate((a*x**4-b)*(a*x**4-b*x**2)**(1/4)/x**4/(a*x**4+b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1534,0,0,0,0.000000," ","integrate((a*x**2-b)/(x**4-a*x**2+b)/(a*x**4+b*x**2)**(1/4),x)","\int \frac{a x^{2} - b}{\sqrt[4]{x^{2} \left(a x^{2} + b\right)} \left(- a x^{2} + b + x^{4}\right)}\, dx"," ",0,"Integral((a*x**2 - b)/((x**2*(a*x**2 + b))**(1/4)*(-a*x**2 + b + x**4)), x)","F",0
1535,0,0,0,0.000000," ","integrate((a*x**2-b)/(x**4-a*x**2+b)/(a*x**4+b*x**2)**(1/4),x)","\int \frac{a x^{2} - b}{\sqrt[4]{x^{2} \left(a x^{2} + b\right)} \left(- a x^{2} + b + x^{4}\right)}\, dx"," ",0,"Integral((a*x**2 - b)/((x**2*(a*x**2 + b))**(1/4)*(-a*x**2 + b + x**4)), x)","F",0
1536,-1,0,0,0.000000," ","integrate((a*x**4+b*x**2)**(1/4)/x**4/(a*x**4-b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1537,-1,0,0,0.000000," ","integrate((a*x**4+b*x**2)**(1/4)/x**4/(a*x**4-b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1538,0,0,0,0.000000," ","integrate((a**3*x**3+b**3)/(a**3*x**3-b**3)/(a**4*x**4+b**4)**(1/2),x)","\int \frac{\left(a x + b\right) \left(a^{2} x^{2} - a b x + b^{2}\right)}{\left(a x - b\right) \sqrt{a^{4} x^{4} + b^{4}} \left(a^{2} x^{2} + a b x + b^{2}\right)}\, dx"," ",0,"Integral((a*x + b)*(a**2*x**2 - a*b*x + b**2)/((a*x - b)*sqrt(a**4*x**4 + b**4)*(a**2*x**2 + a*b*x + b**2)), x)","F",0
1539,0,0,0,0.000000," ","integrate((x**3+1)**(2/3)*(2*x**6+x**3+1)/x**6/(2*x**6-1),x)","\int \frac{\left(\left(x + 1\right) \left(x^{2} - x + 1\right)\right)^{\frac{2}{3}} \left(2 x^{6} + x^{3} + 1\right)}{x^{6} \left(2 x^{6} - 1\right)}\, dx"," ",0,"Integral(((x + 1)*(x**2 - x + 1))**(2/3)*(2*x**6 + x**3 + 1)/(x**6*(2*x**6 - 1)), x)","F",0
1540,0,0,0,0.000000," ","integrate((x**3+1)**(2/3)*(2*x**6+x**3+1)/x**6/(2*x**6-1),x)","\int \frac{\left(\left(x + 1\right) \left(x^{2} - x + 1\right)\right)^{\frac{2}{3}} \left(2 x^{6} + x^{3} + 1\right)}{x^{6} \left(2 x^{6} - 1\right)}\, dx"," ",0,"Integral(((x + 1)*(x**2 - x + 1))**(2/3)*(2*x**6 + x**3 + 1)/(x**6*(2*x**6 - 1)), x)","F",0
1541,-1,0,0,0.000000," ","integrate((x**6+1)*(2*x**6-1)*(2*x**6+x**4-1)**(5/4)/x**10/(2*x**6-x**4-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1542,0,0,0,0.000000," ","integrate(1/(a**3*x**3+b**2*x**2)**(1/3)/(a**6*x**6+b),x)","\int \frac{1}{\sqrt[3]{x^{2} \left(a^{3} x + b^{2}\right)} \left(a^{6} x^{6} + b\right)}\, dx"," ",0,"Integral(1/((x**2*(a**3*x + b**2))**(1/3)*(a**6*x**6 + b)), x)","F",0
1543,0,0,0,0.000000," ","integrate(1/(a**3*x**3+b**2*x**2)**(1/3)/(a**6*x**6+b),x)","\int \frac{1}{\sqrt[3]{x^{2} \left(a^{3} x + b^{2}\right)} \left(a^{6} x^{6} + b\right)}\, dx"," ",0,"Integral(1/((x**2*(a**3*x + b**2))**(1/3)*(a**6*x**6 + b)), x)","F",0
1544,-1,0,0,0.000000," ","integrate(((-3*k**2+1)*x+2*k**2*x**3)*(k**4*x**4-2*k**2*x**2+1)/((-x**2+1)*(-k**2*x**2+1))**(3/4)/(1-d+(3*d*k**2-1)*x**2-3*d*k**4*x**4+d*k**6*x**6),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1545,0,0,0,0.000000," ","integrate((2*x**4-1)**(1/4)*(x**8+x**4-1)/x**6/(x**4-1),x)","\int \frac{\sqrt[4]{2 x^{4} - 1} \left(x^{8} + x^{4} - 1\right)}{x^{6} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((2*x**4 - 1)**(1/4)*(x**8 + x**4 - 1)/(x**6*(x - 1)*(x + 1)*(x**2 + 1)), x)","F",0
1546,0,0,0,0.000000," ","integrate(1/(a*x**4-b)**(1/4)/(x**8-a*x**4-b),x)","\int \frac{1}{\sqrt[4]{a x^{4} - b} \left(- a x^{4} - b + x^{8}\right)}\, dx"," ",0,"Integral(1/((a*x**4 - b)**(1/4)*(-a*x**4 - b + x**8)), x)","F",0
1547,0,0,0,0.000000," ","integrate(1/(a*x**4-b)**(1/4)/(x**8-a*x**4-b),x)","\int \frac{1}{\sqrt[4]{a x^{4} - b} \left(- a x^{4} - b + x^{8}\right)}\, dx"," ",0,"Integral(1/((a*x**4 - b)**(1/4)*(-a*x**4 - b + x**8)), x)","F",0
1548,1,34,0,1.316646," ","integrate(x**6*(x**3-1)**(2/3),x)","- \frac{x^{7} e^{- \frac{i \pi}{3}} \Gamma\left(\frac{7}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, \frac{7}{3} \\ \frac{10}{3} \end{matrix}\middle| {x^{3}} \right)}}{3 \Gamma\left(\frac{10}{3}\right)}"," ",0,"-x**7*exp(-I*pi/3)*gamma(7/3)*hyper((-2/3, 7/3), (10/3,), x**3)/(3*gamma(10/3))","C",0
1549,1,31,0,1.242506," ","integrate(x**6*(x**3+1)**(2/3),x)","\frac{x^{7} \Gamma\left(\frac{7}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, \frac{7}{3} \\ \frac{10}{3} \end{matrix}\middle| {x^{3} e^{i \pi}} \right)}}{3 \Gamma\left(\frac{10}{3}\right)}"," ",0,"x**7*gamma(7/3)*hyper((-2/3, 7/3), (10/3,), x**3*exp_polar(I*pi))/(3*gamma(10/3))","C",0
1550,0,0,0,0.000000," ","integrate(x**4*(x**3+x)**(1/3),x)","\int x^{4} \sqrt[3]{x \left(x^{2} + 1\right)}\, dx"," ",0,"Integral(x**4*(x*(x**2 + 1))**(1/3), x)","F",0
1551,-1,0,0,0.000000," ","integrate(x**2*(3*a*b**2-2*b*(2*a+b)*x+(a+2*b)*x**2)/(x*(-a+x)*(-b+x)**2)**(3/4)/(a*b**2-b*(2*a+b)*x+(a+2*b)*x**2+(-1+d)*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1552,-1,0,0,0.000000," ","integrate((x**4+1)**(1/3)*(x**4+3)/x**17,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1553,0,0,0,0.000000," ","integrate((x**2-2)*(x**3+x)**(1/3)/x**2/(x**4-2*x**2+4),x)","\int \frac{\sqrt[3]{x \left(x^{2} + 1\right)} \left(x^{2} - 2\right)}{x^{2} \left(x^{4} - 2 x^{2} + 4\right)}\, dx"," ",0,"Integral((x*(x**2 + 1))**(1/3)*(x**2 - 2)/(x**2*(x**4 - 2*x**2 + 4)), x)","F",0
1554,0,0,0,0.000000," ","integrate((x**2-2)*(x**3+x)**(1/3)/x**2/(x**4-2*x**2+4),x)","\int \frac{\sqrt[3]{x \left(x^{2} + 1\right)} \left(x^{2} - 2\right)}{x^{2} \left(x^{4} - 2 x^{2} + 4\right)}\, dx"," ",0,"Integral((x*(x**2 + 1))**(1/3)*(x**2 - 2)/(x**2*(x**4 - 2*x**2 + 4)), x)","F",0
1555,0,0,0,0.000000," ","integrate(1/(x**4-1)**2/(x**4-x**2)**(1/4),x)","\int \frac{1}{\sqrt[4]{x^{2} \left(x - 1\right) \left(x + 1\right)} \left(x - 1\right)^{2} \left(x + 1\right)^{2} \left(x^{2} + 1\right)^{2}}\, dx"," ",0,"Integral(1/((x**2*(x - 1)*(x + 1))**(1/4)*(x - 1)**2*(x + 1)**2*(x**2 + 1)**2), x)","F",0
1556,0,0,0,0.000000," ","integrate((x**2-1)*(x**4-x**3+x**2-x+1)/(x**2-x+1)**2/(x**2+x+1)/(x**4+3*x**2+1)**(1/2),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \left(x^{4} - x^{3} + x^{2} - x + 1\right)}{\left(x^{2} - x + 1\right)^{2} \left(x^{2} + x + 1\right) \sqrt{x^{4} + 3 x^{2} + 1}}\, dx"," ",0,"Integral((x - 1)*(x + 1)*(x**4 - x**3 + x**2 - x + 1)/((x**2 - x + 1)**2*(x**2 + x + 1)*sqrt(x**4 + 3*x**2 + 1)), x)","F",0
1557,0,0,0,0.000000," ","integrate((a*x**3+b)*(2*a*x**3+b)/x**6/(a*x**4+b*x)**(1/4),x)","\int \frac{\left(a x^{3} + b\right) \left(2 a x^{3} + b\right)}{x^{6} \sqrt[4]{x \left(a x^{3} + b\right)}}\, dx"," ",0,"Integral((a*x**3 + b)*(2*a*x**3 + b)/(x**6*(x*(a*x**3 + b))**(1/4)), x)","F",0
1558,0,0,0,0.000000," ","integrate((a**3*x**3-b**3)/(a**3*x**3+b**3)/(a**4*x**4+b**4)**(1/2),x)","\int \frac{\left(a x - b\right) \left(a^{2} x^{2} + a b x + b^{2}\right)}{\left(a x + b\right) \sqrt{a^{4} x^{4} + b^{4}} \left(a^{2} x^{2} - a b x + b^{2}\right)}\, dx"," ",0,"Integral((a*x - b)*(a**2*x**2 + a*b*x + b**2)/((a*x + b)*sqrt(a**4*x**4 + b**4)*(a**2*x**2 - a*b*x + b**2)), x)","F",0
1559,0,0,0,0.000000," ","integrate(x**4*(a*x**2-2*b)/(a*x**2-b)**2/(c*x**4+a*x**2-b)**(1/4),x)","\int \frac{x^{4} \left(a x^{2} - 2 b\right)}{\left(a x^{2} - b\right)^{2} \sqrt[4]{a x^{2} - b + c x^{4}}}\, dx"," ",0,"Integral(x**4*(a*x**2 - 2*b)/((a*x**2 - b)**2*(a*x**2 - b + c*x**4)**(1/4)), x)","F",0
1560,0,0,0,0.000000," ","integrate((x**2-2*x-1)*(x**2+2*x-1)/(x**4+x**3+2*x**2-x+1)/(x**5-x)**(1/3),x)","\int \frac{\left(x^{2} - 2 x - 1\right) \left(x^{2} + 2 x - 1\right)}{\sqrt[3]{x \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)} \left(x^{4} + x^{3} + 2 x^{2} - x + 1\right)}\, dx"," ",0,"Integral((x**2 - 2*x - 1)*(x**2 + 2*x - 1)/((x*(x - 1)*(x + 1)*(x**2 + 1))**(1/3)*(x**4 + x**3 + 2*x**2 - x + 1)), x)","F",0
1561,0,0,0,0.000000," ","integrate((x**6-a*x**3-b)/x**6/(a*x**4+b*x)**(1/4),x)","\int \frac{- a x^{3} - b + x^{6}}{x^{6} \sqrt[4]{x \left(a x^{3} + b\right)}}\, dx"," ",0,"Integral((-a*x**3 - b + x**6)/(x**6*(x*(a*x**3 + b))**(1/4)), x)","F",0
1562,0,0,0,0.000000," ","integrate(1/(a**3*x**3+b**2*x**2)**(1/3)/(a**6*x**6-b),x)","\int \frac{1}{\sqrt[3]{x^{2} \left(a^{3} x + b^{2}\right)} \left(a^{6} x^{6} - b\right)}\, dx"," ",0,"Integral(1/((x**2*(a**3*x + b**2))**(1/3)*(a**6*x**6 - b)), x)","F",0
1563,0,0,0,0.000000," ","integrate(1/(a**3*x**3+b**2*x**2)**(1/3)/(a**6*x**6-b),x)","\int \frac{1}{\sqrt[3]{x^{2} \left(a^{3} x + b^{2}\right)} \left(a^{6} x^{6} - b\right)}\, dx"," ",0,"Integral(1/((x**2*(a**3*x + b**2))**(1/3)*(a**6*x**6 - b)), x)","F",0
1564,0,0,0,0.000000," ","integrate(1/(a**3*x**3+b**2*x**2)**(1/3)/(2*a**6*x**6-b),x)","\int \frac{1}{\sqrt[3]{x^{2} \left(a^{3} x + b^{2}\right)} \left(2 a^{6} x^{6} - b\right)}\, dx"," ",0,"Integral(1/((x**2*(a**3*x + b**2))**(1/3)*(2*a**6*x**6 - b)), x)","F",0
1565,0,0,0,0.000000," ","integrate(1/(a**3*x**3+b**2*x**2)**(1/3)/(2*a**6*x**6-b),x)","\int \frac{1}{\sqrt[3]{x^{2} \left(a^{3} x + b^{2}\right)} \left(2 a^{6} x^{6} - b\right)}\, dx"," ",0,"Integral(1/((x**2*(a**3*x + b**2))**(1/3)*(2*a**6*x**6 - b)), x)","F",0
1566,0,0,0,0.000000," ","integrate(1/(a**3*x**3+b**2*x**2)**(1/3)/(2*a**6*x**6+b),x)","\int \frac{1}{\sqrt[3]{x^{2} \left(a^{3} x + b^{2}\right)} \left(2 a^{6} x^{6} + b\right)}\, dx"," ",0,"Integral(1/((x**2*(a**3*x + b**2))**(1/3)*(2*a**6*x**6 + b)), x)","F",0
1567,0,0,0,0.000000," ","integrate(1/(a**3*x**3+b**2*x**2)**(1/3)/(2*a**6*x**6+b),x)","\int \frac{1}{\sqrt[3]{x^{2} \left(a^{3} x + b^{2}\right)} \left(2 a^{6} x^{6} + b\right)}\, dx"," ",0,"Integral(1/((x**2*(a**3*x + b**2))**(1/3)*(2*a**6*x**6 + b)), x)","F",0
1568,-1,0,0,0.000000," ","integrate(x**4*(x**3-4)/(x**3-1)**(1/4)/(x**8-x**6+2*x**3-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1569,-1,0,0,0.000000," ","integrate(x**6/(a*x**4+b)**(3/4)/(a**2*x**8-b**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1570,0,0,0,0.000000," ","integrate((a*x**2-b**2)*(b+(a*x**2+b**2)**(1/2))**(1/2)/(a*x**2+b**2),x)","\int \frac{\sqrt{b + \sqrt{a x^{2} + b^{2}}} \left(a x^{2} - b^{2}\right)}{a x^{2} + b^{2}}\, dx"," ",0,"Integral(sqrt(b + sqrt(a*x**2 + b**2))*(a*x**2 - b**2)/(a*x**2 + b**2), x)","F",0
1571,0,0,0,0.000000," ","integrate((x**3+x**2)**(1/3),x)","\int \sqrt[3]{x^{3} + x^{2}}\, dx"," ",0,"Integral((x**3 + x**2)**(1/3), x)","F",0
1572,-1,0,0,0.000000," ","integrate((k**3*x**3-1)/((1-x)*x*(-k**2*x+1))**(1/2)/(k**3*x**3+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1573,0,0,0,0.000000," ","integrate((a*x**2+b)/(x**4+a*x**2+b)/(a*x**4-b*x**2)**(1/4),x)","\int \frac{a x^{2} + b}{\sqrt[4]{x^{2} \left(a x^{2} - b\right)} \left(a x^{2} + b + x^{4}\right)}\, dx"," ",0,"Integral((a*x**2 + b)/((x**2*(a*x**2 - b))**(1/4)*(a*x**2 + b + x**4)), x)","F",0
1574,0,0,0,0.000000," ","integrate((a*x**2+b)/(x**4+a*x**2+b)/(a*x**4-b*x**2)**(1/4),x)","\int \frac{a x^{2} + b}{\sqrt[4]{x^{2} \left(a x^{2} - b\right)} \left(a x^{2} + b + x^{4}\right)}\, dx"," ",0,"Integral((a*x**2 + b)/((x**2*(a*x**2 - b))**(1/4)*(a*x**2 + b + x**4)), x)","F",0
1575,0,0,0,0.000000," ","integrate((c*k**2*x**4+b*x**2+c)/((-x**2+1)*(-k**2*x**2+1))**(1/2)/(k**2*x**4-1),x)","\int \frac{b x^{2} + c k^{2} x^{4} + c}{\sqrt{\left(x - 1\right) \left(x + 1\right) \left(k x - 1\right) \left(k x + 1\right)} \left(k x^{2} - 1\right) \left(k x^{2} + 1\right)}\, dx"," ",0,"Integral((b*x**2 + c*k**2*x**4 + c)/(sqrt((x - 1)*(x + 1)*(k*x - 1)*(k*x + 1))*(k*x**2 - 1)*(k*x**2 + 1)), x)","F",0
1576,-1,0,0,0.000000," ","integrate((a*x**4+3*b)/(a*x**4+x**3-b)/(a*x**5-b*x)**(1/4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1577,0,0,0,0.000000," ","integrate((x**6-1)/x**6/(x**3+x)**(1/3),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)}{x^{6} \sqrt[3]{x \left(x^{2} + 1\right)}}\, dx"," ",0,"Integral((x - 1)*(x + 1)*(x**2 - x + 1)*(x**2 + x + 1)/(x**6*(x*(x**2 + 1))**(1/3)), x)","F",0
1578,1,160,0,2.524997," ","integrate((x**3-1)**(2/3)*(x**6+2)/x**6,x)","- \frac{x e^{- \frac{i \pi}{3}} \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {x^{3}} \right)}}{3 \Gamma\left(\frac{4}{3}\right)} + 2 \left(\begin{cases} \frac{\left(-1 + \frac{1}{x^{3}}\right)^{\frac{2}{3}} e^{- \frac{i \pi}{3}} \Gamma\left(- \frac{5}{3}\right)}{3 \Gamma\left(- \frac{2}{3}\right)} - \frac{\left(-1 + \frac{1}{x^{3}}\right)^{\frac{2}{3}} e^{- \frac{i \pi}{3}} \Gamma\left(- \frac{5}{3}\right)}{3 x^{3} \Gamma\left(- \frac{2}{3}\right)} & \text{for}\: \frac{1}{\left|{x^{3}}\right|} > 1 \\- \frac{\left(1 - \frac{1}{x^{3}}\right)^{\frac{2}{3}} \Gamma\left(- \frac{5}{3}\right)}{3 \Gamma\left(- \frac{2}{3}\right)} + \frac{\left(1 - \frac{1}{x^{3}}\right)^{\frac{2}{3}} \Gamma\left(- \frac{5}{3}\right)}{3 x^{3} \Gamma\left(- \frac{2}{3}\right)} & \text{otherwise} \end{cases}\right)"," ",0,"-x*exp(-I*pi/3)*gamma(1/3)*hyper((-2/3, 1/3), (4/3,), x**3)/(3*gamma(4/3)) + 2*Piecewise(((-1 + x**(-3))**(2/3)*exp(-I*pi/3)*gamma(-5/3)/(3*gamma(-2/3)) - (-1 + x**(-3))**(2/3)*exp(-I*pi/3)*gamma(-5/3)/(3*x**3*gamma(-2/3)), 1/Abs(x**3) > 1), (-(1 - 1/x**3)**(2/3)*gamma(-5/3)/(3*gamma(-2/3)) + (1 - 1/x**3)**(2/3)*gamma(-5/3)/(3*x**3*gamma(-2/3)), True))","C",0
1579,1,199,0,3.296419," ","integrate((x**3-1)**(2/3)*(x**6+x**3-2)/x**6,x)","- \frac{x e^{- \frac{i \pi}{3}} \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {x^{3}} \right)}}{3 \Gamma\left(\frac{4}{3}\right)} - 2 \left(\begin{cases} \frac{\left(-1 + \frac{1}{x^{3}}\right)^{\frac{2}{3}} e^{- \frac{i \pi}{3}} \Gamma\left(- \frac{5}{3}\right)}{3 \Gamma\left(- \frac{2}{3}\right)} - \frac{\left(-1 + \frac{1}{x^{3}}\right)^{\frac{2}{3}} e^{- \frac{i \pi}{3}} \Gamma\left(- \frac{5}{3}\right)}{3 x^{3} \Gamma\left(- \frac{2}{3}\right)} & \text{for}\: \frac{1}{\left|{x^{3}}\right|} > 1 \\- \frac{\left(1 - \frac{1}{x^{3}}\right)^{\frac{2}{3}} \Gamma\left(- \frac{5}{3}\right)}{3 \Gamma\left(- \frac{2}{3}\right)} + \frac{\left(1 - \frac{1}{x^{3}}\right)^{\frac{2}{3}} \Gamma\left(- \frac{5}{3}\right)}{3 x^{3} \Gamma\left(- \frac{2}{3}\right)} & \text{otherwise} \end{cases}\right) + \frac{e^{\frac{2 i \pi}{3}} \Gamma\left(- \frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, - \frac{2}{3} \\ \frac{1}{3} \end{matrix}\middle| {x^{3}} \right)}}{3 x^{2} \Gamma\left(\frac{1}{3}\right)}"," ",0,"-x*exp(-I*pi/3)*gamma(1/3)*hyper((-2/3, 1/3), (4/3,), x**3)/(3*gamma(4/3)) - 2*Piecewise(((-1 + x**(-3))**(2/3)*exp(-I*pi/3)*gamma(-5/3)/(3*gamma(-2/3)) - (-1 + x**(-3))**(2/3)*exp(-I*pi/3)*gamma(-5/3)/(3*x**3*gamma(-2/3)), 1/Abs(x**3) > 1), (-(1 - 1/x**3)**(2/3)*gamma(-5/3)/(3*gamma(-2/3)) + (1 - 1/x**3)**(2/3)*gamma(-5/3)/(3*x**3*gamma(-2/3)), True)) + exp(2*I*pi/3)*gamma(-2/3)*hyper((-2/3, -2/3), (1/3,), x**3)/(3*x**2*gamma(1/3))","C",0
1580,1,85,0,2.393036," ","integrate((x**3+1)**(2/3)*(2*x**6+1)/x**6,x)","\frac{2 x \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {x^{3} e^{i \pi}} \right)}}{3 \Gamma\left(\frac{4}{3}\right)} + \frac{\left(1 + \frac{1}{x^{3}}\right)^{\frac{2}{3}} \Gamma\left(- \frac{5}{3}\right)}{3 \Gamma\left(- \frac{2}{3}\right)} + \frac{\left(1 + \frac{1}{x^{3}}\right)^{\frac{2}{3}} \Gamma\left(- \frac{5}{3}\right)}{3 x^{3} \Gamma\left(- \frac{2}{3}\right)}"," ",0,"2*x*gamma(1/3)*hyper((-2/3, 1/3), (4/3,), x**3*exp_polar(I*pi))/(3*gamma(4/3)) + (1 + x**(-3))**(2/3)*gamma(-5/3)/(3*gamma(-2/3)) + (1 + x**(-3))**(2/3)*gamma(-5/3)/(3*x**3*gamma(-2/3))","C",0
1581,0,0,0,0.000000," ","integrate((2*a*x**5+3*b)/(a*x**5+x**3-b)/(a*x**6-b*x)**(1/4),x)","\int \frac{2 a x^{5} + 3 b}{\sqrt[4]{x \left(a x^{5} - b\right)} \left(a x^{5} - b + x^{3}\right)}\, dx"," ",0,"Integral((2*a*x**5 + 3*b)/((x*(a*x**5 - b))**(1/4)*(a*x**5 - b + x**3)), x)","F",0
1582,0,0,0,0.000000," ","integrate((x**4-1)**(1/4)*(x**8+x**4+1)/x**6/(2*x**8-1),x)","\int \frac{\sqrt[4]{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)} \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right) \left(x^{4} - x^{2} + 1\right)}{x^{6} \left(2 x^{8} - 1\right)}\, dx"," ",0,"Integral(((x - 1)*(x + 1)*(x**2 + 1))**(1/4)*(x**2 - x + 1)*(x**2 + x + 1)*(x**4 - x**2 + 1)/(x**6*(2*x**8 - 1)), x)","F",0
1583,0,0,0,0.000000," ","integrate((x**4-1)**(1/4)*(x**8+x**4+1)/x**6/(2*x**8-1),x)","\int \frac{\sqrt[4]{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)} \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right) \left(x^{4} - x^{2} + 1\right)}{x^{6} \left(2 x^{8} - 1\right)}\, dx"," ",0,"Integral(((x - 1)*(x + 1)*(x**2 + 1))**(1/4)*(x**2 - x + 1)*(x**2 + x + 1)*(x**4 - x**2 + 1)/(x**6*(2*x**8 - 1)), x)","F",0
1584,0,0,0,0.000000," ","integrate((a**2*x**2-b*x)**(1/2)/(a*x**2+x*(a**2*x**2-b*x)**(1/2))**(3/2),x)","\int \frac{\sqrt{x \left(a^{2} x - b\right)}}{\left(x \left(a x + \sqrt{a^{2} x^{2} - b x}\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sqrt(x*(a**2*x - b))/(x*(a*x + sqrt(a**2*x**2 - b*x)))**(3/2), x)","F",0
1585,1,36,0,1.239721," ","integrate(x**7*(x**3-1)**(1/3),x)","- \frac{x^{8} e^{- \frac{2 i \pi}{3}} \Gamma\left(\frac{8}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, \frac{8}{3} \\ \frac{11}{3} \end{matrix}\middle| {x^{3}} \right)}}{3 \Gamma\left(\frac{11}{3}\right)}"," ",0,"-x**8*exp(-2*I*pi/3)*gamma(8/3)*hyper((-1/3, 8/3), (11/3,), x**3)/(3*gamma(11/3))","C",0
1586,1,31,0,1.195333," ","integrate(x**7*(x**3+1)**(1/3),x)","\frac{x^{8} \Gamma\left(\frac{8}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, \frac{8}{3} \\ \frac{11}{3} \end{matrix}\middle| {x^{3} e^{i \pi}} \right)}}{3 \Gamma\left(\frac{11}{3}\right)}"," ",0,"x**8*gamma(8/3)*hyper((-1/3, 8/3), (11/3,), x**3*exp_polar(I*pi))/(3*gamma(11/3))","C",0
1587,-1,0,0,0.000000," ","integrate((x**3-1)**(1/3)*(x**3+1)/x**13,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1588,-1,0,0,0.000000," ","integrate((-b+x)*(a-3*b+2*x)/(-a+x)/((-a+x)*(-b+x))**(3/4)/(b-a**3*d-(-3*a**2*d+1)*x-3*a*d*x**2+d*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1589,1,42,0,1.736943," ","integrate(x**8*(a*x**4-b)**(3/4),x)","- \frac{b^{\frac{3}{4}} x^{9} e^{- \frac{i \pi}{4}} \Gamma\left(\frac{9}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, \frac{9}{4} \\ \frac{13}{4} \end{matrix}\middle| {\frac{a x^{4}}{b}} \right)}}{4 \Gamma\left(\frac{13}{4}\right)}"," ",0,"-b**(3/4)*x**9*exp(-I*pi/4)*gamma(9/4)*hyper((-3/4, 9/4), (13/4,), a*x**4/b)/(4*gamma(13/4))","C",0
1590,0,0,0,0.000000," ","integrate(1/(a*x**3+b)/(a*x**4-b*x)**(1/4),x)","\int \frac{1}{\sqrt[4]{x \left(a x^{3} - b\right)} \left(a x^{3} + b\right)}\, dx"," ",0,"Integral(1/((x*(a*x**3 - b))**(1/4)*(a*x**3 + b)), x)","F",0
1591,-1,0,0,0.000000," ","integrate((a*x**4-b*x**2)**(1/4)/x**4/(a*x**4-b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1592,-1,0,0,0.000000," ","integrate((a*x**4-b*x**2)**(1/4)/x**4/(a*x**4-b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1593,-1,0,0,0.000000," ","integrate((-2+(1+k)*x)*(1-(1+k)*x+(a+k)*x**2)/((1-x)*x*(-k*x+1))**(1/3)/(1-2*(1+k)*x+(k**2+c+4*k+1)*x**2-(c*k+2*k**2+c+2*k)*x**3+(c*k+k**2-b)*x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1594,1,71,0,3.251952," ","integrate((x**6-1)**(1/3)*(x**6+1)/x**3,x)","- \frac{x^{4} e^{- \frac{2 i \pi}{3}} \Gamma\left(\frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, \frac{2}{3} \\ \frac{5}{3} \end{matrix}\middle| {x^{6}} \right)}}{6 \Gamma\left(\frac{5}{3}\right)} + \frac{e^{\frac{i \pi}{3}} \Gamma\left(- \frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, - \frac{1}{3} \\ \frac{2}{3} \end{matrix}\middle| {x^{6}} \right)}}{6 x^{2} \Gamma\left(\frac{2}{3}\right)}"," ",0,"-x**4*exp(-2*I*pi/3)*gamma(2/3)*hyper((-1/3, 2/3), (5/3,), x**6)/(6*gamma(5/3)) + exp(I*pi/3)*gamma(-1/3)*hyper((-1/3, -1/3), (2/3,), x**6)/(6*x**2*gamma(2/3))","C",0
1595,0,0,0,0.000000," ","integrate((x**3+1)**(2/3)*(x**6-2*x**3+1)/x**6/(x**6-2),x)","\int \frac{\left(\left(x + 1\right) \left(x^{2} - x + 1\right)\right)^{\frac{2}{3}} \left(x - 1\right)^{2} \left(x^{2} + x + 1\right)^{2}}{x^{6} \left(x^{6} - 2\right)}\, dx"," ",0,"Integral(((x + 1)*(x**2 - x + 1))**(2/3)*(x - 1)**2*(x**2 + x + 1)**2/(x**6*(x**6 - 2)), x)","F",0
1596,0,0,0,0.000000," ","integrate((x**3+1)**(2/3)*(x**6-2*x**3+1)/x**6/(x**6-2),x)","\int \frac{\left(\left(x + 1\right) \left(x^{2} - x + 1\right)\right)^{\frac{2}{3}} \left(x - 1\right)^{2} \left(x^{2} + x + 1\right)^{2}}{x^{6} \left(x^{6} - 2\right)}\, dx"," ",0,"Integral(((x + 1)*(x**2 - x + 1))**(2/3)*(x - 1)**2*(x**2 + x + 1)**2/(x**6*(x**6 - 2)), x)","F",0
1597,1,167,0,3.720595," ","integrate((x**6-1)**(1/3)*(2*x**6-1)/x**9,x)","- \begin{cases} \frac{\sqrt[3]{-1 + \frac{1}{x^{6}}} e^{- \frac{2 i \pi}{3}} \Gamma\left(- \frac{4}{3}\right)}{6 \Gamma\left(- \frac{1}{3}\right)} - \frac{\sqrt[3]{-1 + \frac{1}{x^{6}}} e^{- \frac{2 i \pi}{3}} \Gamma\left(- \frac{4}{3}\right)}{6 x^{6} \Gamma\left(- \frac{1}{3}\right)} & \text{for}\: \frac{1}{\left|{x^{6}}\right|} > 1 \\- \frac{\sqrt[3]{1 - \frac{1}{x^{6}}} \Gamma\left(- \frac{4}{3}\right)}{6 \Gamma\left(- \frac{1}{3}\right)} + \frac{\sqrt[3]{1 - \frac{1}{x^{6}}} \Gamma\left(- \frac{4}{3}\right)}{6 x^{6} \Gamma\left(- \frac{1}{3}\right)} & \text{otherwise} \end{cases} + \frac{e^{\frac{i \pi}{3}} \Gamma\left(- \frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, - \frac{1}{3} \\ \frac{2}{3} \end{matrix}\middle| {x^{6}} \right)}}{3 x^{2} \Gamma\left(\frac{2}{3}\right)}"," ",0,"-Piecewise(((-1 + x**(-6))**(1/3)*exp(-2*I*pi/3)*gamma(-4/3)/(6*gamma(-1/3)) - (-1 + x**(-6))**(1/3)*exp(-2*I*pi/3)*gamma(-4/3)/(6*x**6*gamma(-1/3)), 1/Abs(x**6) > 1), (-(1 - 1/x**6)**(1/3)*gamma(-4/3)/(6*gamma(-1/3)) + (1 - 1/x**6)**(1/3)*gamma(-4/3)/(6*x**6*gamma(-1/3)), True)) + exp(I*pi/3)*gamma(-1/3)*hyper((-1/3, -1/3), (2/3,), x**6)/(3*x**2*gamma(2/3))","C",0
1598,-1,0,0,0.000000," ","integrate((x**3-1)**(2/3)*(x**6-1)/x**6/(2*x**6+x**3-2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1599,-1,0,0,0.000000," ","integrate((x**3-1)**(2/3)*(x**6-1)/x**6/(2*x**6+x**3-2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1600,0,0,0,0.000000," ","integrate((x**4-1)**(1/4)*(2*x**8-x**4+2)/x**10/(2*x**4-1),x)","\int \frac{\sqrt[4]{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)} \left(2 x^{8} - x^{4} + 2\right)}{x^{10} \left(2 x^{4} - 1\right)}\, dx"," ",0,"Integral(((x - 1)*(x + 1)*(x**2 + 1))**(1/4)*(2*x**8 - x**4 + 2)/(x**10*(2*x**4 - 1)), x)","F",0
1601,-1,0,0,0.000000," ","integrate((x**6+2)*(x**12+x**8-2*x**6+1)/x**8/(x**6-1)**(1/4)/(x**6+x**4-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1602,0,0,0,0.000000," ","integrate((x**2+x)**(1/2)/x/(x**2+x*(x**2+x)**(1/2))**(1/2),x)","\int \frac{\sqrt{x \left(x + 1\right)}}{x \sqrt{x \left(x + \sqrt{x^{2} + x}\right)}}\, dx"," ",0,"Integral(sqrt(x*(x + 1))/(x*sqrt(x*(x + sqrt(x**2 + x)))), x)","F",0
1603,0,0,0,0.000000," ","integrate((x**2+x*(x**2+x)**(1/2))**(1/2)/(x**2+x)**(1/2),x)","\int \frac{\sqrt{x \left(x + \sqrt{x^{2} + x}\right)}}{\sqrt{x \left(x + 1\right)}}\, dx"," ",0,"Integral(sqrt(x*(x + sqrt(x**2 + x)))/sqrt(x*(x + 1)), x)","F",0
1604,1,42,0,0.813756," ","integrate(1/(b+(a*x**2+b**2)**(1/2))**(1/2),x)","\frac{x \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right) {{}_{3}F_{2}\left(\begin{matrix} \frac{1}{4}, \frac{1}{2}, \frac{3}{4} \\ \frac{3}{2}, \frac{3}{2} \end{matrix}\middle| {\frac{a x^{2} e^{i \pi}}{b^{2}}} \right)}}{2 \pi \sqrt{b}}"," ",0,"x*gamma(1/4)*gamma(3/4)*hyper((1/4, 1/2, 3/4), (3/2, 3/2), a*x**2*exp_polar(I*pi)/b**2)/(2*pi*sqrt(b))","C",0
1605,1,1100,0,7.331898," ","integrate((a*x**2+b**2)**2*(b+(a*x**2+b**2)**(1/2))**(1/2),x)","- \frac{315 \sqrt{2} a^{4} b^{\frac{17}{2}} x^{7} \Gamma\left(- \frac{1}{4}\right) \Gamma\left(\frac{1}{4}\right)}{13860 \pi a b^{10} \sqrt{\frac{a x^{2}}{b^{2}} + 1} \sqrt{\sqrt{\frac{a x^{2}}{b^{2}} + 1} + 1} + 13860 \pi a b^{10} \sqrt{\sqrt{\frac{a x^{2}}{b^{2}} + 1} + 1}} - \frac{665 \sqrt{2} a^{3} b^{\frac{21}{2}} x^{5} \sqrt{\frac{a x^{2}}{b^{2}} + 1} \Gamma\left(- \frac{1}{4}\right) \Gamma\left(\frac{1}{4}\right)}{13860 \pi a b^{10} \sqrt{\frac{a x^{2}}{b^{2}} + 1} \sqrt{\sqrt{\frac{a x^{2}}{b^{2}} + 1} + 1} + 13860 \pi a b^{10} \sqrt{\sqrt{\frac{a x^{2}}{b^{2}} + 1} + 1}} - \frac{705 \sqrt{2} a^{3} b^{\frac{21}{2}} x^{5} \Gamma\left(- \frac{1}{4}\right) \Gamma\left(\frac{1}{4}\right)}{13860 \pi a b^{10} \sqrt{\frac{a x^{2}}{b^{2}} + 1} \sqrt{\sqrt{\frac{a x^{2}}{b^{2}} + 1} + 1} + 13860 \pi a b^{10} \sqrt{\sqrt{\frac{a x^{2}}{b^{2}} + 1} + 1}} - \frac{32 \sqrt{2} a^{2} b^{\frac{25}{2}} x^{3} \sqrt{\frac{a x^{2}}{b^{2}} + 1} \Gamma\left(- \frac{1}{4}\right) \Gamma\left(\frac{1}{4}\right)}{13860 \pi a b^{10} \sqrt{\frac{a x^{2}}{b^{2}} + 1} \sqrt{\sqrt{\frac{a x^{2}}{b^{2}} + 1} + 1} + 13860 \pi a b^{10} \sqrt{\sqrt{\frac{a x^{2}}{b^{2}} + 1} + 1}} + \frac{32 \sqrt{2} a^{2} b^{\frac{25}{2}} x^{3} \Gamma\left(- \frac{1}{4}\right) \Gamma\left(\frac{1}{4}\right)}{13860 \pi a b^{10} \sqrt{\frac{a x^{2}}{b^{2}} + 1} \sqrt{\sqrt{\frac{a x^{2}}{b^{2}} + 1} + 1} + 13860 \pi a b^{10} \sqrt{\sqrt{\frac{a x^{2}}{b^{2}} + 1} + 1}} - \frac{30 \sqrt{2} a^{2} b^{\frac{5}{2}} x^{5} \Gamma\left(- \frac{1}{4}\right) \Gamma\left(\frac{1}{4}\right)}{420 \pi b^{2} \sqrt{\frac{a x^{2}}{b^{2}} + 1} \sqrt{\sqrt{\frac{a x^{2}}{b^{2}} + 1} + 1} + 420 \pi b^{2} \sqrt{\sqrt{\frac{a x^{2}}{b^{2}} + 1} + 1}} - \frac{66 \sqrt{2} a b^{\frac{9}{2}} x^{3} \sqrt{\frac{a x^{2}}{b^{2}} + 1} \Gamma\left(- \frac{1}{4}\right) \Gamma\left(\frac{1}{4}\right)}{420 \pi b^{2} \sqrt{\frac{a x^{2}}{b^{2}} + 1} \sqrt{\sqrt{\frac{a x^{2}}{b^{2}} + 1} + 1} + 420 \pi b^{2} \sqrt{\sqrt{\frac{a x^{2}}{b^{2}} + 1} + 1}} - \frac{74 \sqrt{2} a b^{\frac{9}{2}} x^{3} \Gamma\left(- \frac{1}{4}\right) \Gamma\left(\frac{1}{4}\right)}{420 \pi b^{2} \sqrt{\frac{a x^{2}}{b^{2}} + 1} \sqrt{\sqrt{\frac{a x^{2}}{b^{2}} + 1} + 1} + 420 \pi b^{2} \sqrt{\sqrt{\frac{a x^{2}}{b^{2}} + 1} + 1}} - \frac{\sqrt{2} a b^{\frac{9}{2}} x^{3} \Gamma\left(- \frac{1}{4}\right) \Gamma\left(\frac{1}{4}\right)}{12 \pi b^{2} \sqrt{\frac{a x^{2}}{b^{2}} + 1} \sqrt{\sqrt{\frac{a x^{2}}{b^{2}} + 1} + 1} + 12 \pi b^{2} \sqrt{\sqrt{\frac{a x^{2}}{b^{2}} + 1} + 1}} - \frac{3 \sqrt{2} b^{\frac{13}{2}} x \sqrt{\frac{a x^{2}}{b^{2}} + 1} \Gamma\left(- \frac{1}{4}\right) \Gamma\left(\frac{1}{4}\right)}{12 \pi b^{2} \sqrt{\frac{a x^{2}}{b^{2}} + 1} \sqrt{\sqrt{\frac{a x^{2}}{b^{2}} + 1} + 1} + 12 \pi b^{2} \sqrt{\sqrt{\frac{a x^{2}}{b^{2}} + 1} + 1}} - \frac{3 \sqrt{2} b^{\frac{13}{2}} x \Gamma\left(- \frac{1}{4}\right) \Gamma\left(\frac{1}{4}\right)}{12 \pi b^{2} \sqrt{\frac{a x^{2}}{b^{2}} + 1} \sqrt{\sqrt{\frac{a x^{2}}{b^{2}} + 1} + 1} + 12 \pi b^{2} \sqrt{\sqrt{\frac{a x^{2}}{b^{2}} + 1} + 1}}"," ",0,"-315*sqrt(2)*a**4*b**(17/2)*x**7*gamma(-1/4)*gamma(1/4)/(13860*pi*a*b**10*sqrt(a*x**2/b**2 + 1)*sqrt(sqrt(a*x**2/b**2 + 1) + 1) + 13860*pi*a*b**10*sqrt(sqrt(a*x**2/b**2 + 1) + 1)) - 665*sqrt(2)*a**3*b**(21/2)*x**5*sqrt(a*x**2/b**2 + 1)*gamma(-1/4)*gamma(1/4)/(13860*pi*a*b**10*sqrt(a*x**2/b**2 + 1)*sqrt(sqrt(a*x**2/b**2 + 1) + 1) + 13860*pi*a*b**10*sqrt(sqrt(a*x**2/b**2 + 1) + 1)) - 705*sqrt(2)*a**3*b**(21/2)*x**5*gamma(-1/4)*gamma(1/4)/(13860*pi*a*b**10*sqrt(a*x**2/b**2 + 1)*sqrt(sqrt(a*x**2/b**2 + 1) + 1) + 13860*pi*a*b**10*sqrt(sqrt(a*x**2/b**2 + 1) + 1)) - 32*sqrt(2)*a**2*b**(25/2)*x**3*sqrt(a*x**2/b**2 + 1)*gamma(-1/4)*gamma(1/4)/(13860*pi*a*b**10*sqrt(a*x**2/b**2 + 1)*sqrt(sqrt(a*x**2/b**2 + 1) + 1) + 13860*pi*a*b**10*sqrt(sqrt(a*x**2/b**2 + 1) + 1)) + 32*sqrt(2)*a**2*b**(25/2)*x**3*gamma(-1/4)*gamma(1/4)/(13860*pi*a*b**10*sqrt(a*x**2/b**2 + 1)*sqrt(sqrt(a*x**2/b**2 + 1) + 1) + 13860*pi*a*b**10*sqrt(sqrt(a*x**2/b**2 + 1) + 1)) - 30*sqrt(2)*a**2*b**(5/2)*x**5*gamma(-1/4)*gamma(1/4)/(420*pi*b**2*sqrt(a*x**2/b**2 + 1)*sqrt(sqrt(a*x**2/b**2 + 1) + 1) + 420*pi*b**2*sqrt(sqrt(a*x**2/b**2 + 1) + 1)) - 66*sqrt(2)*a*b**(9/2)*x**3*sqrt(a*x**2/b**2 + 1)*gamma(-1/4)*gamma(1/4)/(420*pi*b**2*sqrt(a*x**2/b**2 + 1)*sqrt(sqrt(a*x**2/b**2 + 1) + 1) + 420*pi*b**2*sqrt(sqrt(a*x**2/b**2 + 1) + 1)) - 74*sqrt(2)*a*b**(9/2)*x**3*gamma(-1/4)*gamma(1/4)/(420*pi*b**2*sqrt(a*x**2/b**2 + 1)*sqrt(sqrt(a*x**2/b**2 + 1) + 1) + 420*pi*b**2*sqrt(sqrt(a*x**2/b**2 + 1) + 1)) - sqrt(2)*a*b**(9/2)*x**3*gamma(-1/4)*gamma(1/4)/(12*pi*b**2*sqrt(a*x**2/b**2 + 1)*sqrt(sqrt(a*x**2/b**2 + 1) + 1) + 12*pi*b**2*sqrt(sqrt(a*x**2/b**2 + 1) + 1)) - 3*sqrt(2)*b**(13/2)*x*sqrt(a*x**2/b**2 + 1)*gamma(-1/4)*gamma(1/4)/(12*pi*b**2*sqrt(a*x**2/b**2 + 1)*sqrt(sqrt(a*x**2/b**2 + 1) + 1) + 12*pi*b**2*sqrt(sqrt(a*x**2/b**2 + 1) + 1)) - 3*sqrt(2)*b**(13/2)*x*gamma(-1/4)*gamma(1/4)/(12*pi*b**2*sqrt(a*x**2/b**2 + 1)*sqrt(sqrt(a*x**2/b**2 + 1) + 1) + 12*pi*b**2*sqrt(sqrt(a*x**2/b**2 + 1) + 1))","B",0
1606,0,0,0,0.000000," ","integrate(1/(1-3*x)/(x**3-x)**(1/3),x)","- \int \frac{1}{3 x \sqrt[3]{x^{3} - x} - \sqrt[3]{x^{3} - x}}\, dx"," ",0,"-Integral(1/(3*x*(x**3 - x)**(1/3) - (x**3 - x)**(1/3)), x)","F",0
1607,0,0,0,0.000000," ","integrate(1/(1+3*x)/(x**3-x)**(1/3),x)","\int \frac{1}{\sqrt[3]{x \left(x - 1\right) \left(x + 1\right)} \left(3 x + 1\right)}\, dx"," ",0,"Integral(1/((x*(x - 1)*(x + 1))**(1/3)*(3*x + 1)), x)","F",0
1608,0,0,0,0.000000," ","integrate(x/(x**3-x**2)**(1/3),x)","\int \frac{x}{\sqrt[3]{x^{2} \left(x - 1\right)}}\, dx"," ",0,"Integral(x/(x**2*(x - 1))**(1/3), x)","F",0
1609,0,0,0,0.000000," ","integrate((-x**3+1)**(2/3)*(x**3-1)/x**6/(2*x**3-1),x)","\int \frac{\left(- \left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{2}{3}} \left(x - 1\right) \left(x^{2} + x + 1\right)}{x^{6} \left(2 x^{3} - 1\right)}\, dx"," ",0,"Integral((-(x - 1)*(x**2 + x + 1))**(2/3)*(x - 1)*(x**2 + x + 1)/(x**6*(2*x**3 - 1)), x)","F",0
1610,0,0,0,0.000000," ","integrate((a*x+2*b)/(a*x+x**2+b)/(a*x**3+b*x**2)**(1/4),x)","\int \frac{a x + 2 b}{\sqrt[4]{x^{2} \left(a x + b\right)} \left(a x + b + x^{2}\right)}\, dx"," ",0,"Integral((a*x + 2*b)/((x**2*(a*x + b))**(1/4)*(a*x + b + x**2)), x)","F",0
1611,0,0,0,0.000000," ","integrate(x**3*(x**4+x)**(1/2)/(a*x**3-b),x)","\int \frac{x^{3} \sqrt{x \left(x + 1\right) \left(x^{2} - x + 1\right)}}{a x^{3} - b}\, dx"," ",0,"Integral(x**3*sqrt(x*(x + 1)*(x**2 - x + 1))/(a*x**3 - b), x)","F",0
1612,1,31,0,1.181392," ","integrate(x**9*(x**6+1)**(1/3),x)","\frac{x^{10} \Gamma\left(\frac{5}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, \frac{5}{3} \\ \frac{8}{3} \end{matrix}\middle| {x^{6} e^{i \pi}} \right)}}{6 \Gamma\left(\frac{8}{3}\right)}"," ",0,"x**10*gamma(5/3)*hyper((-1/3, 5/3), (8/3,), x**6*exp_polar(I*pi))/(6*gamma(8/3))","C",0
1613,0,0,0,0.000000," ","integrate((x**3-1)**(2/3)*(x**3+2)/x**6/(x**6+4),x)","\int \frac{\left(\left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{2}{3}} \left(x^{3} + 2\right)}{x^{6} \left(x^{6} + 4\right)}\, dx"," ",0,"Integral(((x - 1)*(x**2 + x + 1))**(2/3)*(x**3 + 2)/(x**6*(x**6 + 4)), x)","F",0
1614,0,0,0,0.000000," ","integrate((x**3-1)**(2/3)*(x**3+2)/x**6/(x**6+4),x)","\int \frac{\left(\left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{2}{3}} \left(x^{3} + 2\right)}{x^{6} \left(x^{6} + 4\right)}\, dx"," ",0,"Integral(((x - 1)*(x**2 + x + 1))**(2/3)*(x**3 + 2)/(x**6*(x**6 + 4)), x)","F",0
1615,0,0,0,0.000000," ","integrate((x**6-a*x**3+b)/x**6/(a*x**4+b*x)**(1/4),x)","\int \frac{- a x^{3} + b + x^{6}}{x^{6} \sqrt[4]{x \left(a x^{3} + b\right)}}\, dx"," ",0,"Integral((-a*x**3 + b + x**6)/(x**6*(x*(a*x**3 + b))**(1/4)), x)","F",0
1616,0,0,0,0.000000," ","integrate((a*x**6-b)/x**6/(a*x**4+b*x)**(1/4),x)","\int \frac{a x^{6} - b}{x^{6} \sqrt[4]{x \left(a x^{3} + b\right)}}\, dx"," ",0,"Integral((a*x**6 - b)/(x**6*(x*(a*x**3 + b))**(1/4)), x)","F",0
1617,0,0,0,0.000000," ","integrate((a*x**6+b)/x**6/(a*x**4+b*x)**(1/4),x)","\int \frac{a x^{6} + b}{x^{6} \sqrt[4]{x \left(a x^{3} + b\right)}}\, dx"," ",0,"Integral((a*x**6 + b)/(x**6*(x*(a*x**3 + b))**(1/4)), x)","F",0
1618,0,0,0,0.000000," ","integrate((2*a*x**5-3*b)/(2*a*x**5+x**3+2*b)/(a*x**6+b*x)**(1/4),x)","\int \frac{2 a x^{5} - 3 b}{\sqrt[4]{x \left(a x^{5} + b\right)} \left(2 a x^{5} + 2 b + x^{3}\right)}\, dx"," ",0,"Integral((2*a*x**5 - 3*b)/((x*(a*x**5 + b))**(1/4)*(2*a*x**5 + 2*b + x**3)), x)","F",0
1619,0,0,0,0.000000," ","integrate(1/(a**3*x**3+b**2*x**2)**(1/3)/(a**6*x**6+2*b),x)","\int \frac{1}{\sqrt[3]{x^{2} \left(a^{3} x + b^{2}\right)} \left(a^{6} x^{6} + 2 b\right)}\, dx"," ",0,"Integral(1/((x**2*(a**3*x + b**2))**(1/3)*(a**6*x**6 + 2*b)), x)","F",0
1620,0,0,0,0.000000," ","integrate(1/(a**3*x**3+b**2*x**2)**(1/3)/(a**6*x**6+2*b),x)","\int \frac{1}{\sqrt[3]{x^{2} \left(a^{3} x + b^{2}\right)} \left(a^{6} x^{6} + 2 b\right)}\, dx"," ",0,"Integral(1/((x**2*(a**3*x + b**2))**(1/3)*(a**6*x**6 + 2*b)), x)","F",0
1621,-1,0,0,0.000000," ","integrate((x**4-1)*(x**8+x**6+3*x**4+x**2+1)/(x**4+x**2+1)**(3/2)/(x**8+3*x**6+5*x**4+3*x**2+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1622,0,0,0,0.000000," ","integrate((a*x**8-b)/(a*x**4+b)**(1/4)/(a*x**8+b),x)","\int \frac{a x^{8} - b}{\sqrt[4]{a x^{4} + b} \left(a x^{8} + b\right)}\, dx"," ",0,"Integral((a*x**8 - b)/((a*x**4 + b)**(1/4)*(a*x**8 + b)), x)","F",0
1623,0,0,0,0.000000," ","integrate((a*x**8-b)/(a*x**4+b)**(1/4)/(a*x**8+b),x)","\int \frac{a x^{8} - b}{\sqrt[4]{a x^{4} + b} \left(a x^{8} + b\right)}\, dx"," ",0,"Integral((a*x**8 - b)/((a*x**4 + b)**(1/4)*(a*x**8 + b)), x)","F",0
1624,0,0,0,0.000000," ","integrate((2*x**5+2*x-3)*(x**6-x**2+x)**(1/2)/(x**10-x**8-3*x**6+2*x**5+x**4-x**3+x**2-2*x+1),x)","\int \frac{\sqrt{x \left(x^{5} - x + 1\right)} \left(2 x^{5} + 2 x - 3\right)}{x^{10} - x^{8} - 3 x^{6} + 2 x^{5} + x^{4} - x^{3} + x^{2} - 2 x + 1}\, dx"," ",0,"Integral(sqrt(x*(x**5 - x + 1))*(2*x**5 + 2*x - 3)/(x**10 - x**8 - 3*x**6 + 2*x**5 + x**4 - x**3 + x**2 - 2*x + 1), x)","F",0
1625,0,0,0,0.000000," ","integrate((x+(1+x)**(1/2))**(1/2)/x**2/(1+x)**(1/2),x)","\int \frac{\sqrt{x + \sqrt{x + 1}}}{x^{2} \sqrt{x + 1}}\, dx"," ",0,"Integral(sqrt(x + sqrt(x + 1))/(x**2*sqrt(x + 1)), x)","F",0
1626,0,0,0,0.000000," ","integrate((x+(1+x)**(1/2))**(1/2)/x/(1+x)**(1/2),x)","\int \frac{\sqrt{x + \sqrt{x + 1}}}{x \sqrt{x + 1}}\, dx"," ",0,"Integral(sqrt(x + sqrt(x + 1))/(x*sqrt(x + 1)), x)","F",0
1627,0,0,0,0.000000," ","integrate((a*x+(a*x-b)**(1/2))**(1/2)/(a*x-b)**(1/2),x)","\int \frac{\sqrt{a x + \sqrt{a x - b}}}{\sqrt{a x - b}}\, dx"," ",0,"Integral(sqrt(a*x + sqrt(a*x - b))/sqrt(a*x - b), x)","F",0
1628,1,144,0,92.603958," ","integrate((1-a*x+b*(b*x+a)**(1/2))/(b*x+a)**(1/2)/(x+a*b*(b*x+a)**(1/2)),x)","- \frac{2 a \sqrt{a + b x}}{b} - 2 b \left(a^{2} + 1\right) \log{\left(\frac{1}{\sqrt{a + b x}} \right)} - \frac{\left(- a^{3} b - a b\right) \log{\left(\frac{a b^{2}}{\sqrt{a + b x}} - \frac{a}{a + b x} + 1 \right)}}{a} - \frac{4 \left(a^{3} b^{3} + a b^{3} + \frac{b^{2} \left(- a^{3} b - a b\right)}{2} - 1\right) \operatorname{atan}{\left(\frac{2 \left(- \frac{b^{2}}{2} + \frac{1}{\sqrt{a + b x}}\right)}{\sqrt{- \frac{a b^{4} + 4}{a}}} \right)}}{a \sqrt{- \frac{a b^{4} + 4}{a}}}"," ",0,"-2*a*sqrt(a + b*x)/b - 2*b*(a**2 + 1)*log(1/sqrt(a + b*x)) - (-a**3*b - a*b)*log(a*b**2/sqrt(a + b*x) - a/(a + b*x) + 1)/a - 4*(a**3*b**3 + a*b**3 + b**2*(-a**3*b - a*b)/2 - 1)*atan(2*(-b**2/2 + 1/sqrt(a + b*x))/sqrt(-(a*b**4 + 4)/a))/(a*sqrt(-(a*b**4 + 4)/a))","A",0
1629,1,48,0,0.906047," ","integrate((b+(a*x**2+b**2)**(1/2))**(1/2)/x**2,x)","\frac{\sqrt{b} \Gamma\left(- \frac{1}{4}\right) \Gamma\left(\frac{1}{4}\right) {{}_{3}F_{2}\left(\begin{matrix} - \frac{1}{2}, - \frac{1}{4}, \frac{1}{4} \\ \frac{1}{2}, \frac{1}{2} \end{matrix}\middle| {\frac{a x^{2} e^{i \pi}}{b^{2}}} \right)}}{4 \pi x}"," ",0,"sqrt(b)*gamma(-1/4)*gamma(1/4)*hyper((-1/2, -1/4, 1/4), (1/2, 1/2), a*x**2*exp_polar(I*pi)/b**2)/(4*pi*x)","C",0
1630,0,0,0,0.000000," ","integrate(1/(a**2*x**2-b*x)**(1/2)/(a*x**2+x*(a**2*x**2-b*x)**(1/2))**(3/2),x)","\int \frac{1}{\left(x \left(a x + \sqrt{a^{2} x^{2} - b x}\right)\right)^{\frac{3}{2}} \sqrt{x \left(a^{2} x - b\right)}}\, dx"," ",0,"Integral(1/((x*(a*x + sqrt(a**2*x**2 - b*x)))**(3/2)*sqrt(x*(a**2*x - b))), x)","F",0
1631,0,0,0,0.000000," ","integrate(1/(1+(x+(x**2+1)**(1/2))**(1/2)),x)","\int \frac{1}{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\, dx"," ",0,"Integral(1/(sqrt(x + sqrt(x**2 + 1)) + 1), x)","F",0
1632,0,0,0,0.000000," ","integrate((-2+x)/(x**2+2)/(2*x**2+x-1)**(1/3),x)","\int \frac{x - 2}{\sqrt[3]{\left(x + 1\right) \left(2 x - 1\right)} \left(x^{2} + 2\right)}\, dx"," ",0,"Integral((x - 2)/(((x + 1)*(2*x - 1))**(1/3)*(x**2 + 2)), x)","F",0
1633,-1,0,0,0.000000," ","integrate((-a+x)*(-b+x)*(-2*a*b+(a+b)*x)/(x**2*(-a+x)*(-b+x))**(3/4)/(-a*b+(a+b)*x+(-1+d)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1634,0,0,0,0.000000," ","integrate((x**2-x+1)/(x**2+2*x-2)/(x**3+1)**(1/2),x)","\int \frac{x^{2} - x + 1}{\sqrt{\left(x + 1\right) \left(x^{2} - x + 1\right)} \left(x^{2} + 2 x - 2\right)}\, dx"," ",0,"Integral((x**2 - x + 1)/(sqrt((x + 1)*(x**2 - x + 1))*(x**2 + 2*x - 2)), x)","F",0
1635,0,0,0,0.000000," ","integrate((-1+x)/x/(x**3-x**2)**(1/3),x)","\int \frac{x - 1}{x \sqrt[3]{x^{2} \left(x - 1\right)}}\, dx"," ",0,"Integral((x - 1)/(x*(x**2*(x - 1))**(1/3)), x)","F",0
1636,0,0,0,0.000000," ","integrate((1+x)/x/(x**3-x**2)**(1/3),x)","\int \frac{x + 1}{x \sqrt[3]{x^{2} \left(x - 1\right)}}\, dx"," ",0,"Integral((x + 1)/(x*(x**2*(x - 1))**(1/3)), x)","F",0
1637,0,0,0,0.000000," ","integrate(x**2/(x**3+x**2)**(1/3),x)","\int \frac{x^{2}}{\sqrt[3]{x^{2} \left(x + 1\right)}}\, dx"," ",0,"Integral(x**2/(x**2*(x + 1))**(1/3), x)","F",0
1638,-1,0,0,0.000000," ","integrate((a-3*b+2*x)*(-a**3+3*a**2*x-3*a*x**2+x**3)/(-b+x)/((-a+x)*(-b+x))**(1/4)/(-a**3+b*d-(-3*a**2+d)*x-3*a*x**2+x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1639,-1,0,0,0.000000," ","integrate(x**3*(3-2*(1+k)*x+k*x**2)/(-1+x)/((1-x)*x*(-k*x+1))**(1/4)/(k*x-1)/(-d+d*(1+k)*x-d*k*x**2+x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1640,0,0,0,0.000000," ","integrate((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)^{\frac{2}{3}}}{x^{6} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral((x**3 + 2)*(2*x**3 + 1)**(2/3)/(x**6*(x + 1)*(x**2 - x + 1)), x)","F",0
1641,-1,0,0,0.000000," ","integrate((3*a*b**2-2*b*(2*a+b)*x+(a+2*b)*x**2)/(x*(-a+x)*(-b+x)**2)**(1/4)/(-a*b**2*d+b*(2*a+b)*d*x-(a+2*b)*d*x**2+(-1+d)*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1642,0,0,0,0.000000," ","integrate((c*x+d)*(a*x**4-b*x**3)**(1/4)/x**2,x)","\int \frac{\sqrt[4]{x^{3} \left(a x - b\right)} \left(c x + d\right)}{x^{2}}\, dx"," ",0,"Integral((x**3*(a*x - b))**(1/4)*(c*x + d)/x**2, x)","F",0
1643,-1,0,0,0.000000," ","integrate((x**5+3)*(x**5+x**3-2)**(1/3)/x**2/(x**5-2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1644,-1,0,0,0.000000," ","integrate((x**5-3)*(x**5+x**3+2)**(2/3)/x**3/(x**5+2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1645,1,167,0,3.373266," ","integrate((x**6-1)**(1/3)*(x**6+1)/x**9,x)","\begin{cases} \frac{\sqrt[3]{-1 + \frac{1}{x^{6}}} e^{- \frac{2 i \pi}{3}} \Gamma\left(- \frac{4}{3}\right)}{6 \Gamma\left(- \frac{1}{3}\right)} - \frac{\sqrt[3]{-1 + \frac{1}{x^{6}}} e^{- \frac{2 i \pi}{3}} \Gamma\left(- \frac{4}{3}\right)}{6 x^{6} \Gamma\left(- \frac{1}{3}\right)} & \text{for}\: \frac{1}{\left|{x^{6}}\right|} > 1 \\- \frac{\sqrt[3]{1 - \frac{1}{x^{6}}} \Gamma\left(- \frac{4}{3}\right)}{6 \Gamma\left(- \frac{1}{3}\right)} + \frac{\sqrt[3]{1 - \frac{1}{x^{6}}} \Gamma\left(- \frac{4}{3}\right)}{6 x^{6} \Gamma\left(- \frac{1}{3}\right)} & \text{otherwise} \end{cases} + \frac{e^{\frac{i \pi}{3}} \Gamma\left(- \frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, - \frac{1}{3} \\ \frac{2}{3} \end{matrix}\middle| {x^{6}} \right)}}{6 x^{2} \Gamma\left(\frac{2}{3}\right)}"," ",0,"Piecewise(((-1 + x**(-6))**(1/3)*exp(-2*I*pi/3)*gamma(-4/3)/(6*gamma(-1/3)) - (-1 + x**(-6))**(1/3)*exp(-2*I*pi/3)*gamma(-4/3)/(6*x**6*gamma(-1/3)), 1/Abs(x**6) > 1), (-(1 - 1/x**6)**(1/3)*gamma(-4/3)/(6*gamma(-1/3)) + (1 - 1/x**6)**(1/3)*gamma(-4/3)/(6*x**6*gamma(-1/3)), True)) + exp(I*pi/3)*gamma(-1/3)*hyper((-1/3, -1/3), (2/3,), x**6)/(6*x**2*gamma(2/3))","C",0
1646,0,0,0,0.000000," ","integrate(1/(a**3*x**3+b**2*x**2)**(1/3)/(a**6*x**6-2*b),x)","\int \frac{1}{\sqrt[3]{x^{2} \left(a^{3} x + b^{2}\right)} \left(a^{6} x^{6} - 2 b\right)}\, dx"," ",0,"Integral(1/((x**2*(a**3*x + b**2))**(1/3)*(a**6*x**6 - 2*b)), x)","F",0
1647,0,0,0,0.000000," ","integrate(1/(a**3*x**3+b**2*x**2)**(1/3)/(a**6*x**6-2*b),x)","\int \frac{1}{\sqrt[3]{x^{2} \left(a^{3} x + b^{2}\right)} \left(a^{6} x^{6} - 2 b\right)}\, dx"," ",0,"Integral(1/((x**2*(a**3*x + b**2))**(1/3)*(a**6*x**6 - 2*b)), x)","F",0
1648,0,0,0,0.000000," ","integrate(1/(x**20+3*x**16+2*x**12-2*x**8-3*x**4-1)**(1/4),x)","\int \frac{1}{\sqrt[4]{x^{20} + 3 x^{16} + 2 x^{12} - 2 x^{8} - 3 x^{4} - 1}}\, dx"," ",0,"Integral((x**20 + 3*x**16 + 2*x**12 - 2*x**8 - 3*x**4 - 1)**(-1/4), x)","F",0
1649,0,0,0,0.000000," ","integrate((x**2+1)/(a*x+b)**(1/2)/(c+(a*x+b)**(1/2))**(1/2),x)","\int \frac{x^{2} + 1}{\sqrt{c + \sqrt{a x + b}} \sqrt{a x + b}}\, dx"," ",0,"Integral((x**2 + 1)/(sqrt(c + sqrt(a*x + b))*sqrt(a*x + b)), x)","F",0
1650,0,0,0,0.000000," ","integrate(x**2/(a**2*x**2-b)**(1/2)/(a*x+(a**2*x**2-b)**(1/2))**(1/4),x)","\int \frac{x^{2}}{\sqrt[4]{a x + \sqrt{a^{2} x^{2} - b}} \sqrt{a^{2} x^{2} - b}}\, dx"," ",0,"Integral(x**2/((a*x + sqrt(a**2*x**2 - b))**(1/4)*sqrt(a**2*x**2 - b)), x)","F",0
1651,0,0,0,0.000000," ","integrate(x**2*(x**3-x)**(1/3),x)","\int x^{2} \sqrt[3]{x \left(x - 1\right) \left(x + 1\right)}\, dx"," ",0,"Integral(x**2*(x*(x - 1)*(x + 1))**(1/3), x)","F",0
1652,0,0,0,0.000000," ","integrate(x**6*(x**3+x)**(1/3),x)","\int x^{6} \sqrt[3]{x \left(x^{2} + 1\right)}\, dx"," ",0,"Integral(x**6*(x*(x**2 + 1))**(1/3), x)","F",0
1653,1,61,0,2.530392," ","integrate((-3+2*x)/x/(x**4-1)**(1/4),x)","\frac{x e^{- \frac{i \pi}{4}} \Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{4}, \frac{1}{4} \\ \frac{5}{4} \end{matrix}\middle| {x^{4}} \right)}}{2 \Gamma\left(\frac{5}{4}\right)} + \frac{3 \Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{4}, \frac{1}{4} \\ \frac{5}{4} \end{matrix}\middle| {\frac{e^{2 i \pi}}{x^{4}}} \right)}}{4 x \Gamma\left(\frac{5}{4}\right)}"," ",0,"x*exp(-I*pi/4)*gamma(1/4)*hyper((1/4, 1/4), (5/4,), x**4)/(2*gamma(5/4)) + 3*gamma(1/4)*hyper((1/4, 1/4), (5/4,), exp_polar(2*I*pi)/x**4)/(4*x*gamma(5/4))","C",0
1654,0,0,0,0.000000," ","integrate((-x**4+x**3-1)**(1/3)*(x**4-3)/x**2/(x**4+1),x)","\int \frac{\left(x^{4} - 3\right) \sqrt[3]{- x^{4} + x^{3} - 1}}{x^{2} \left(x^{4} + 1\right)}\, dx"," ",0,"Integral((x**4 - 3)*(-x**4 + x**3 - 1)**(1/3)/(x**2*(x**4 + 1)), x)","F",0
1655,0,0,0,0.000000," ","integrate(x**3*(x**4-x)**(1/2)/(a*x**3-b),x)","\int \frac{x^{3} \sqrt{x \left(x - 1\right) \left(x^{2} + x + 1\right)}}{a x^{3} - b}\, dx"," ",0,"Integral(x**3*sqrt(x*(x - 1)*(x**2 + x + 1))/(a*x**3 - b), x)","F",0
1656,0,0,0,0.000000," ","integrate((2*x**4+1)/(x**4-1)/(x**4+x**2)**(1/4),x)","\int \frac{2 x^{4} + 1}{\sqrt[4]{x^{2} \left(x^{2} + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((2*x**4 + 1)/((x**2*(x**2 + 1))**(1/4)*(x - 1)*(x + 1)*(x**2 + 1)), x)","F",0
1657,0,0,0,0.000000," ","integrate((a*x**2+b)/x**2/(a*x**2-b)/(a*x**4+b*x**2)**(1/4),x)","\int \frac{a x^{2} + b}{x^{2} \sqrt[4]{x^{2} \left(a x^{2} + b\right)} \left(a x^{2} - b\right)}\, dx"," ",0,"Integral((a*x**2 + b)/(x**2*(x**2*(a*x**2 + b))**(1/4)*(a*x**2 - b)), x)","F",0
1658,0,0,0,0.000000," ","integrate(x*(a*x**4+b*x**3)**(1/4),x)","\int x \sqrt[4]{x^{3} \left(a x + b\right)}\, dx"," ",0,"Integral(x*(x**3*(a*x + b))**(1/4), x)","F",0
1659,-1,0,0,0.000000," ","integrate((a*x**3-2*b)/(a*x**3+x**2+b)/(a*x**5+b*x**2)**(1/4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1660,0,0,0,0.000000," ","integrate((a*x**2-b)/(a*x**2+b+x)/(a*x**5+b*x**3)**(1/4),x)","\int \frac{a x^{2} - b}{\sqrt[4]{x^{3} \left(a x^{2} + b\right)} \left(a x^{2} + b + x\right)}\, dx"," ",0,"Integral((a*x**2 - b)/((x**3*(a*x**2 + b))**(1/4)*(a*x**2 + b + x)), x)","F",0
1661,1,31,0,1.330116," ","integrate(x**13/(x**6-1)**(1/3),x)","\frac{x^{14} e^{- \frac{i \pi}{3}} \Gamma\left(\frac{7}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{7}{3} \\ \frac{10}{3} \end{matrix}\middle| {x^{6}} \right)}}{6 \Gamma\left(\frac{10}{3}\right)}"," ",0,"x**14*exp(-I*pi/3)*gamma(7/3)*hyper((1/3, 7/3), (10/3,), x**6)/(6*gamma(10/3))","C",0
1662,1,32,0,1.202980," ","integrate(x**9*(x**6-1)**(1/3),x)","\frac{x^{10} e^{\frac{i \pi}{3}} \Gamma\left(\frac{5}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, \frac{5}{3} \\ \frac{8}{3} \end{matrix}\middle| {x^{6}} \right)}}{6 \Gamma\left(\frac{8}{3}\right)}"," ",0,"x**10*exp(I*pi/3)*gamma(5/3)*hyper((-1/3, 5/3), (8/3,), x**6)/(6*gamma(8/3))","C",0
1663,1,34,0,1.215330," ","integrate(x**7*(x**6-1)**(2/3),x)","\frac{x^{8} e^{\frac{2 i \pi}{3}} \Gamma\left(\frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, \frac{4}{3} \\ \frac{7}{3} \end{matrix}\middle| {x^{6}} \right)}}{6 \Gamma\left(\frac{7}{3}\right)}"," ",0,"x**8*exp(2*I*pi/3)*gamma(4/3)*hyper((-2/3, 4/3), (7/3,), x**6)/(6*gamma(7/3))","C",0
1664,1,29,0,1.311310," ","integrate(x**13/(x**6+1)**(1/3),x)","\frac{x^{14} \Gamma\left(\frac{7}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{7}{3} \\ \frac{10}{3} \end{matrix}\middle| {x^{6} e^{i \pi}} \right)}}{6 \Gamma\left(\frac{10}{3}\right)}"," ",0,"x**14*gamma(7/3)*hyper((1/3, 7/3), (10/3,), x**6*exp_polar(I*pi))/(6*gamma(10/3))","C",0
1665,1,31,0,1.166781," ","integrate(x**7*(x**6+1)**(2/3),x)","\frac{x^{8} \Gamma\left(\frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{2}{3}, \frac{4}{3} \\ \frac{7}{3} \end{matrix}\middle| {x^{6} e^{i \pi}} \right)}}{6 \Gamma\left(\frac{7}{3}\right)}"," ",0,"x**8*gamma(4/3)*hyper((-2/3, 4/3), (7/3,), x**6*exp_polar(I*pi))/(6*gamma(7/3))","C",0
1666,0,0,0,0.000000," ","integrate((x**3+1)**(2/3)*(x**3+4)/x**6/(x**6-4*x**3+8),x)","\int \frac{\left(\left(x + 1\right) \left(x^{2} - x + 1\right)\right)^{\frac{2}{3}} \left(x^{3} + 4\right)}{x^{6} \left(x^{2} + 2 x + 2\right) \left(x^{4} - 2 x^{3} + 2 x^{2} - 4 x + 4\right)}\, dx"," ",0,"Integral(((x + 1)*(x**2 - x + 1))**(2/3)*(x**3 + 4)/(x**6*(x**2 + 2*x + 2)*(x**4 - 2*x**3 + 2*x**2 - 4*x + 4)), x)","F",0
1667,0,0,0,0.000000," ","integrate((x**3+1)**(2/3)*(x**3+4)/x**6/(x**6-4*x**3+8),x)","\int \frac{\left(\left(x + 1\right) \left(x^{2} - x + 1\right)\right)^{\frac{2}{3}} \left(x^{3} + 4\right)}{x^{6} \left(x^{2} + 2 x + 2\right) \left(x^{4} - 2 x^{3} + 2 x^{2} - 4 x + 4\right)}\, dx"," ",0,"Integral(((x + 1)*(x**2 - x + 1))**(2/3)*(x**3 + 4)/(x**6*(x**2 + 2*x + 2)*(x**4 - 2*x**3 + 2*x**2 - 4*x + 4)), x)","F",0
1668,-1,0,0,0.000000," ","integrate((x**3+1)**(2/3)*(x**3+2)*(3*x**3+4)/x**6/(x**6+2*x**3+4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1669,-1,0,0,0.000000," ","integrate((x**3+1)**(2/3)*(x**3+2)*(3*x**3+4)/x**6/(x**6+2*x**3+4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1670,-1,0,0,0.000000," ","integrate((x**3-1)**(2/3)*(x**6+4)/x**6/(x**6+2*x**3+4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1671,-1,0,0,0.000000," ","integrate((x**3-1)**(2/3)*(x**6+4)/x**6/(x**6+2*x**3+4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1672,-1,0,0,0.000000," ","integrate((x**3-1)**(2/3)*(x**6-x**3+1)/x**6/(2*x**6-x**3-2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1673,-1,0,0,0.000000," ","integrate((x**3-1)**(2/3)*(x**6-x**3+1)/x**6/(2*x**6-x**3-2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1674,-1,0,0,0.000000," ","integrate((x**3+1)**(2/3)*(3*x**6+6*x**3+4)/x**6/(3*x**6+6*x**3+8),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1675,-1,0,0,0.000000," ","integrate((x**3+1)**(2/3)*(3*x**6+6*x**3+4)/x**6/(3*x**6+6*x**3+8),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1676,0,0,0,0.000000," ","integrate((x**8+2*x**3-1)**(1/3)*(5*x**8+3)/x**2/(x**8+x**3-1),x)","\int \frac{\left(5 x^{8} + 3\right) \sqrt[3]{x^{8} + 2 x^{3} - 1}}{x^{2} \left(x^{8} + x^{3} - 1\right)}\, dx"," ",0,"Integral((5*x**8 + 3)*(x**8 + 2*x**3 - 1)**(1/3)/(x**2*(x**8 + x**3 - 1)), x)","F",0
1677,0,0,0,0.000000," ","integrate((x**4-1)*(1+(x**2+1)**(1/2))**(1/2)/(x**4+1),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \sqrt{\sqrt{x^{2} + 1} + 1}}{x^{4} + 1}\, dx"," ",0,"Integral((x - 1)*(x + 1)*(x**2 + 1)*sqrt(sqrt(x**2 + 1) + 1)/(x**4 + 1), x)","F",0
1678,0,0,0,0.000000," ","integrate((x**4-1)*(1+(x**2+1)**(1/2))**(1/2)/(x**4+1),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \sqrt{\sqrt{x^{2} + 1} + 1}}{x^{4} + 1}\, dx"," ",0,"Integral((x - 1)*(x + 1)*(x**2 + 1)*sqrt(sqrt(x**2 + 1) + 1)/(x**4 + 1), x)","F",0
1679,0,0,0,0.000000," ","integrate((a**2*x**2+b**2)**(1/2)/(a*x+(a**2*x**2+b**2)**(1/2))**(1/2),x)","\int \frac{\sqrt{a^{2} x^{2} + b^{2}}}{\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}}\, dx"," ",0,"Integral(sqrt(a**2*x**2 + b**2)/sqrt(a*x + sqrt(a**2*x**2 + b**2)), x)","F",0
1680,-1,0,0,0.000000," ","integrate((-2*a+b+x)/((-a+x)*(-b+x)**2)**(1/4)/(b**2+a*d-(2*b+d)*x+x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1681,0,0,0,0.000000," ","integrate(x*(x**3+x**2)**(1/3),x)","\int x \sqrt[3]{x^{2} \left(x + 1\right)}\, dx"," ",0,"Integral(x*(x**2*(x + 1))**(1/3), x)","F",0
1682,-1,0,0,0.000000," ","integrate((-(2*a-3*b)*b+2*(a-2*b)*x+x**2)/((-a+x)*(-b+x)**2)**(1/4)/(-a**3-b**2*d+(3*a**2+2*b*d)*x-(3*a+d)*x**2+x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1683,-1,0,0,0.000000," ","integrate((-1+x)**3*(-1+2*(-1+k)*x+k*x**2)/x/((1-x)*x*(-k*x+1))**(1/4)/(k*x-1)/(-1+(3+d)*x-(d*k+3)*x**2+x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1684,0,0,0,0.000000," ","integrate((a*x**2+b)/(a*x**2-b)/(a*x**3+b*x)**(1/2),x)","\int \frac{a x^{2} + b}{\sqrt{x \left(a x^{2} + b\right)} \left(a x^{2} - b\right)}\, dx"," ",0,"Integral((a*x**2 + b)/(sqrt(x*(a*x**2 + b))*(a*x**2 - b)), x)","F",0
1685,-1,0,0,0.000000," ","integrate((a**2-2*a*x+x**2)*(-(2*a-3*b)*b+2*(a-2*b)*x+x**2)/((-a+x)*(-b+x)**2)**(3/4)/(-b**2-a**3*d+(3*a**2*d+2*b)*x-(3*a*d+1)*x**2+d*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1686,0,0,0,0.000000," ","integrate((x**3-1)*(x**4+x**3)**(1/4)/(x**3+1),x)","\int \frac{\sqrt[4]{x^{3} \left(x + 1\right)} \left(x - 1\right) \left(x^{2} + x + 1\right)}{\left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral((x**3*(x + 1))**(1/4)*(x - 1)*(x**2 + x + 1)/((x + 1)*(x**2 - x + 1)), x)","F",0
1687,0,0,0,0.000000," ","integrate((a*x**2-b)/x**2/(a*x**2+b)/(a*x**4-b*x**2)**(1/4),x)","\int \frac{a x^{2} - b}{x^{2} \sqrt[4]{x^{2} \left(a x^{2} - b\right)} \left(a x^{2} + b\right)}\, dx"," ",0,"Integral((a*x**2 - b)/(x**2*(x**2*(a*x**2 - b))**(1/4)*(a*x**2 + b)), x)","F",0
1688,0,0,0,0.000000," ","integrate((-b+x)*(-6*a+b+5*x)/((-a+x)*(-b+x)**2)**(1/4)/(b**6+a*d-(6*b**5+d)*x+15*b**4*x**2-20*b**3*x**3+15*b**2*x**4-6*b*x**5+x**6),x)","\int \frac{\left(- b + x\right) \left(- 6 a + b + 5 x\right)}{\sqrt[4]{\left(- a + x\right) \left(- b + x\right)^{2}} \left(a d + b^{6} - 6 b^{5} x + 15 b^{4} x^{2} - 20 b^{3} x^{3} + 15 b^{2} x^{4} - 6 b x^{5} - d x + x^{6}\right)}\, dx"," ",0,"Integral((-b + x)*(-6*a + b + 5*x)/(((-a + x)*(-b + x)**2)**(1/4)*(a*d + b**6 - 6*b**5*x + 15*b**4*x**2 - 20*b**3*x**3 + 15*b**2*x**4 - 6*b*x**5 - d*x + x**6)), x)","F",0
1689,-1,0,0,0.000000," ","integrate((-6*a+b+5*x)*(-b**5+5*b**4*x-10*b**3*x**2+10*b**2*x**3-5*b*x**4+x**5)/((-a+x)*(-b+x)**2)**(3/4)/(a+b**6*d-(6*b**5*d+1)*x+15*b**4*d*x**2-20*b**3*d*x**3+15*b**2*d*x**4-6*b*d*x**5+d*x**6),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1690,0,0,0,0.000000," ","integrate(x**4*(x**4+x**2)**(1/4)/(x**8-1),x)","\int \frac{x^{4} \sqrt[4]{x^{2} \left(x^{2} + 1\right)}}{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \left(x^{4} + 1\right)}\, dx"," ",0,"Integral(x**4*(x**2*(x**2 + 1))**(1/4)/((x - 1)*(x + 1)*(x**2 + 1)*(x**4 + 1)), x)","F",0
1691,0,0,0,0.000000," ","integrate(x**4*(x**4+x**2)**(1/4)/(x**8-1),x)","\int \frac{x^{4} \sqrt[4]{x^{2} \left(x^{2} + 1\right)}}{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \left(x^{4} + 1\right)}\, dx"," ",0,"Integral(x**4*(x**2*(x**2 + 1))**(1/4)/((x - 1)*(x + 1)*(x**2 + 1)*(x**4 + 1)), x)","F",0
1692,0,0,0,0.000000," ","integrate(x**4/(x**4+x**2)**(1/4)/(x**8+x**4+1),x)","\int \frac{x^{4}}{\sqrt[4]{x^{2} \left(x^{2} + 1\right)} \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right) \left(x^{4} - x^{2} + 1\right)}\, dx"," ",0,"Integral(x**4/((x**2*(x**2 + 1))**(1/4)*(x**2 - x + 1)*(x**2 + x + 1)*(x**4 - x**2 + 1)), x)","F",0
1693,0,0,0,0.000000," ","integrate(x**4/(x**4+x**2)**(1/4)/(x**8+x**4+1),x)","\int \frac{x^{4}}{\sqrt[4]{x^{2} \left(x^{2} + 1\right)} \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right) \left(x^{4} - x^{2} + 1\right)}\, dx"," ",0,"Integral(x**4/((x**2*(x**2 + 1))**(1/4)*(x**2 - x + 1)*(x**2 + x + 1)*(x**4 - x**2 + 1)), x)","F",0
1694,-1,0,0,0.000000," ","integrate(x**6*(x**3+4)/(x**3+1)**(3/4)/(x**8-x**6-2*x**3-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1695,1,32,0,1.620704," ","integrate(x**10*(x**3-1)**(1/3),x)","\frac{x^{11} e^{\frac{i \pi}{3}} \Gamma\left(\frac{11}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, \frac{11}{3} \\ \frac{14}{3} \end{matrix}\middle| {x^{3}} \right)}}{3 \Gamma\left(\frac{14}{3}\right)}"," ",0,"x**11*exp(I*pi/3)*gamma(11/3)*hyper((-1/3, 11/3), (14/3,), x**3)/(3*gamma(14/3))","C",0
1696,0,0,0,0.000000," ","integrate(x/(-1+x)/(x**3-x**2)**(1/3),x)","\int \frac{x}{\sqrt[3]{x^{2} \left(x - 1\right)} \left(x - 1\right)}\, dx"," ",0,"Integral(x/((x**2*(x - 1))**(1/3)*(x - 1)), x)","F",0
1697,0,0,0,0.000000," ","integrate((1+x)/(-1+x)/(x**3-x**2)**(1/3),x)","\int \frac{x + 1}{\sqrt[3]{x^{2} \left(x - 1\right)} \left(x - 1\right)}\, dx"," ",0,"Integral((x + 1)/((x**2*(x - 1))**(1/3)*(x - 1)), x)","F",0
1698,0,0,0,0.000000," ","integrate((a*x-2*b)/(a*x+x**2-b)/(a*x**3-b*x**2)**(1/4),x)","\int \frac{a x - 2 b}{\sqrt[4]{x^{2} \left(a x - b\right)} \left(a x - b + x^{2}\right)}\, dx"," ",0,"Integral((a*x - 2*b)/((x**2*(a*x - b))**(1/4)*(a*x - b + x**2)), x)","F",0
1699,0,0,0,0.000000," ","integrate((x**2+1)*(2*x**3-x)**(1/3)/x**2/(x**4+1),x)","\int \frac{\sqrt[3]{x \left(2 x^{2} - 1\right)} \left(x^{2} + 1\right)}{x^{2} \left(x^{4} + 1\right)}\, dx"," ",0,"Integral((x*(2*x**2 - 1))**(1/3)*(x**2 + 1)/(x**2*(x**4 + 1)), x)","F",0
1700,0,0,0,0.000000," ","integrate((-1+x)/(x**2+x+1)/(x**4+1)**(1/4),x)","\int \frac{x - 1}{\sqrt[4]{x^{4} + 1} \left(x^{2} + x + 1\right)}\, dx"," ",0,"Integral((x - 1)/((x**4 + 1)**(1/4)*(x**2 + x + 1)), x)","F",0
1701,0,0,0,0.000000," ","integrate(x**2*(x**4+x**3)**(1/4)/(-1+x),x)","\int \frac{x^{2} \sqrt[4]{x^{3} \left(x + 1\right)}}{x - 1}\, dx"," ",0,"Integral(x**2*(x**3*(x + 1))**(1/4)/(x - 1), x)","F",0
1702,0,0,0,0.000000," ","integrate((a*x**3-b)*(2*a*x**3-b)/x**6/(a*x**4-b*x)**(1/4),x)","\int \frac{\left(a x^{3} - b\right) \left(2 a x^{3} - b\right)}{x^{6} \sqrt[4]{x \left(a x^{3} - b\right)}}\, dx"," ",0,"Integral((a*x**3 - b)*(2*a*x**3 - b)/(x**6*(x*(a*x**3 - b))**(1/4)), x)","F",0
1703,0,0,0,0.000000," ","integrate((x**8+a*x**4-b)/x**8/(a*x**4-b)/(a*x**4+b)**(1/4),x)","\int \frac{a x^{4} - b + x^{8}}{x^{8} \left(a x^{4} - b\right) \sqrt[4]{a x^{4} + b}}\, dx"," ",0,"Integral((a*x**4 - b + x**8)/(x**8*(a*x**4 - b)*(a*x**4 + b)**(1/4)), x)","F",0
1704,1,90,0,8.120381," ","integrate((x**4+1)/x**4/(x+(x**2+1)**(1/2))**(1/2),x)","\frac{4 x}{3 \sqrt{x + \sqrt{x^{2} + 1}}} + \frac{2 \sqrt{x^{2} + 1}}{3 \sqrt{x + \sqrt{x^{2} + 1}}} - \frac{\Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right) \Gamma\left(\frac{7}{4}\right) {{}_{3}F_{2}\left(\begin{matrix} \frac{1}{4}, \frac{3}{4}, \frac{7}{4} \\ \frac{3}{2}, \frac{11}{4} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{2}}} \right)}}{4 \pi x^{\frac{7}{2}} \Gamma\left(\frac{11}{4}\right)}"," ",0,"4*x/(3*sqrt(x + sqrt(x**2 + 1))) + 2*sqrt(x**2 + 1)/(3*sqrt(x + sqrt(x**2 + 1))) - gamma(1/4)*gamma(3/4)*gamma(7/4)*hyper((1/4, 3/4, 7/4), (3/2, 11/4), exp_polar(I*pi)/x**2)/(4*pi*x**(7/2)*gamma(11/4))","C",0
1705,1,44,0,1.025172," ","integrate((b+(a*x**2+b**2)**(1/2))**(1/2)/x**2/(a*x**2+b**2)**(1/2),x)","- \frac{\Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right) {{}_{3}F_{2}\left(\begin{matrix} - \frac{1}{2}, \frac{1}{4}, \frac{3}{4} \\ \frac{1}{2}, \frac{1}{2} \end{matrix}\middle| {\frac{a x^{2} e^{i \pi}}{b^{2}}} \right)}}{\pi \sqrt{b} x}"," ",0,"-gamma(1/4)*gamma(3/4)*hyper((-1/2, 1/4, 3/4), (1/2, 1/2), a*x**2*exp_polar(I*pi)/b**2)/(pi*sqrt(b)*x)","C",0
1706,0,0,0,0.000000," ","integrate((x**2+2)/x/(x**2-2*x+2)/(x**2-x+1)**(1/3),x)","\int \frac{x^{2} + 2}{x \left(x^{2} - 2 x + 2\right) \sqrt[3]{x^{2} - x + 1}}\, dx"," ",0,"Integral((x**2 + 2)/(x*(x**2 - 2*x + 2)*(x**2 - x + 1)**(1/3)), x)","F",0
1707,1,112,0,2.847873," ","integrate((-1+x)/x**10/(x**3+1)**(1/3),x)","\frac{2 \left(1 + \frac{1}{x^{3}}\right)^{\frac{2}{3}} \Gamma\left(- \frac{8}{3}\right)}{3 \Gamma\left(\frac{1}{3}\right)} - \frac{4 \left(1 + \frac{1}{x^{3}}\right)^{\frac{2}{3}} \Gamma\left(- \frac{8}{3}\right)}{9 x^{3} \Gamma\left(\frac{1}{3}\right)} + \frac{10 \left(1 + \frac{1}{x^{3}}\right)^{\frac{2}{3}} \Gamma\left(- \frac{8}{3}\right)}{27 x^{6} \Gamma\left(\frac{1}{3}\right)} + \frac{\Gamma\left(\frac{10}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{10}{3} \\ \frac{13}{3} \end{matrix}\middle| {\frac{e^{i \pi}}{x^{3}}} \right)}}{3 x^{10} \Gamma\left(\frac{13}{3}\right)}"," ",0,"2*(1 + x**(-3))**(2/3)*gamma(-8/3)/(3*gamma(1/3)) - 4*(1 + x**(-3))**(2/3)*gamma(-8/3)/(9*x**3*gamma(1/3)) + 10*(1 + x**(-3))**(2/3)*gamma(-8/3)/(27*x**6*gamma(1/3)) + gamma(10/3)*hyper((1/3, 10/3), (13/3,), exp_polar(I*pi)/x**3)/(3*x**10*gamma(13/3))","C",0
1708,1,37,0,0.886473," ","integrate(1/x/(a*x**3+b)**(1/3),x)","- \frac{\Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {\frac{b e^{i \pi}}{a x^{3}}} \right)}}{3 \sqrt[3]{a} x \Gamma\left(\frac{4}{3}\right)}"," ",0,"-gamma(1/3)*hyper((1/3, 1/3), (4/3,), b*exp_polar(I*pi)/(a*x**3))/(3*a**(1/3)*x*gamma(4/3))","C",0
1709,-1,0,0,0.000000," ","integrate((-1-2*(-1+k)*x+k*x**2)*(k**3*x**3-3*k**2*x**2+3*k*x-1)/(-1+x)/x/((1-x)*x*(-k*x+1))**(1/4)/(-1+(d+3*k)*x-(3*k**2+d)*x**2+k**3*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1710,0,0,0,0.000000," ","integrate((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)^{\frac{2}{3}}}{x^{3} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x**4 + 3)*(x**4 - x**3 - 1)**(2/3)/(x**3*(x - 1)*(x + 1)*(x**2 + 1)), x)","F",0
1711,0,0,0,0.000000," ","integrate((2*x**2+1)*(2*x**3+x)**(1/3)/x**4/(2*x**4+1),x)","\int \frac{\sqrt[3]{x \left(2 x^{2} + 1\right)} \left(2 x^{2} + 1\right)}{x^{4} \left(2 x^{4} + 1\right)}\, dx"," ",0,"Integral((x*(2*x**2 + 1))**(1/3)*(2*x**2 + 1)/(x**4*(2*x**4 + 1)), x)","F",0
1712,0,0,0,0.000000," ","integrate(1/(x-(a*x+b)**(1/2)*(c+(a*x+b)**(1/2))**(1/2)),x)","\int \frac{1}{x - \sqrt{c + \sqrt{a x + b}} \sqrt{a x + b}}\, dx"," ",0,"Integral(1/(x - sqrt(c + sqrt(a*x + b))*sqrt(a*x + b)), x)","F",0
1713,0,0,0,0.000000," ","integrate(1/(x-(a*x+b)**(1/2)*(c+(a*x+b)**(1/2))**(1/2)),x)","\int \frac{1}{x - \sqrt{c + \sqrt{a x + b}} \sqrt{a x + b}}\, dx"," ",0,"Integral(1/(x - sqrt(c + sqrt(a*x + b))*sqrt(a*x + b)), x)","F",0
1714,0,0,0,0.000000," ","integrate((x**2-x+2)/(x**2-1)**(1/3)/(x**2+4*x+3),x)","\int \frac{x^{2} - x + 2}{\sqrt[3]{\left(x - 1\right) \left(x + 1\right)} \left(x + 1\right) \left(x + 3\right)}\, dx"," ",0,"Integral((x**2 - x + 2)/(((x - 1)*(x + 1))**(1/3)*(x + 1)*(x + 3)), x)","F",0
1715,-1,0,0,0.000000," ","integrate(x*(k*x-1)*(-1+2*(-1+k)*x+k*x**2)/(-1+x)/((1-x)*x*(-k*x+1))**(3/4)/(-d+(1+3*d)*x-(3*d+k)*x**2+d*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1716,-1,0,0,0.000000," ","integrate((-1+x)*x*(-1-2*(-1+k)*x+k*x**2)/((1-x)*x*(-k*x+1))**(3/4)/(k*x-1)/(-d+(3*d*k+1)*x-(3*d*k**2+1)*x**2+d*k**3*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1717,0,0,0,0.000000," ","integrate((x**2+4)*(x**3-2*x)**(1/3)/x**4/(x**4-4*x**2-4),x)","\int \frac{\sqrt[3]{x \left(x^{2} - 2\right)} \left(x^{2} + 4\right)}{x^{4} \left(x^{4} - 4 x^{2} - 4\right)}\, dx"," ",0,"Integral((x*(x**2 - 2))**(1/3)*(x**2 + 4)/(x**4*(x**4 - 4*x**2 - 4)), x)","F",0
1718,0,0,0,0.000000," ","integrate((x**2+4)*(x**3-2*x)**(1/3)/x**4/(x**4-4*x**2-4),x)","\int \frac{\sqrt[3]{x \left(x^{2} - 2\right)} \left(x^{2} + 4\right)}{x^{4} \left(x^{4} - 4 x^{2} - 4\right)}\, dx"," ",0,"Integral((x*(x**2 - 2))**(1/3)*(x**2 + 4)/(x**4*(x**4 - 4*x**2 - 4)), x)","F",0
1719,-1,0,0,0.000000," ","integrate((a*x**3+2*b)/(a*x**3+x**2-b)/(a*x**5-b*x**2)**(1/4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1720,0,0,0,0.000000," ","integrate((a*x**2+b)/(a*x**2-b+x)/(a*x**5-b*x**3)**(1/4),x)","\int \frac{a x^{2} + b}{\sqrt[4]{x^{3} \left(a x^{2} - b\right)} \left(a x^{2} - b + x\right)}\, dx"," ",0,"Integral((a*x**2 + b)/((x**3*(a*x**2 - b))**(1/4)*(a*x**2 - b + x)), x)","F",0
1721,0,0,0,0.000000," ","integrate((a*x**4+b)/(a*x**4+x**2-b)/(a*x**6-b*x**2)**(1/4),x)","\int \frac{a x^{4} + b}{\sqrt[4]{x^{2} \left(a x^{4} - b\right)} \left(a x^{4} - b + x^{2}\right)}\, dx"," ",0,"Integral((a*x**4 + b)/((x**2*(a*x**4 - b))**(1/4)*(a*x**4 - b + x**2)), x)","F",0
1722,0,0,0,0.000000," ","integrate((2*a*x**3+b)/(a*x**3-b+x)/(a*x**6-b*x**3)**(1/4),x)","\int \frac{2 a x^{3} + b}{\sqrt[4]{x^{3} \left(a x^{3} - b\right)} \left(a x^{3} - b + x\right)}\, dx"," ",0,"Integral((2*a*x**3 + b)/((x**3*(a*x**3 - b))**(1/4)*(a*x**3 - b + x)), x)","F",0
1723,0,0,0,0.000000," ","integrate(1/(a*x**4-b)**(1/4)/(a*x**8-x**4-b),x)","\int \frac{1}{\sqrt[4]{a x^{4} - b} \left(a x^{8} - b - x^{4}\right)}\, dx"," ",0,"Integral(1/((a*x**4 - b)**(1/4)*(a*x**8 - b - x**4)), x)","F",0
1724,0,0,0,0.000000," ","integrate(1/(a*x**4-b)**(1/4)/(a*x**8-x**4-b),x)","\int \frac{1}{\sqrt[4]{a x^{4} - b} \left(a x^{8} - b - x^{4}\right)}\, dx"," ",0,"Integral(1/((a*x**4 - b)**(1/4)*(a*x**8 - b - x**4)), x)","F",0
1725,-1,0,0,0.000000," ","integrate((a*x**4+b)/(a*x**4-b)**(1/4)/(a*x**8+c*x**4+b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1726,-1,0,0,0.000000," ","integrate((a*x**4+b)/(a*x**4-b)**(1/4)/(a*x**8+c*x**4+b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1727,0,0,0,0.000000," ","integrate((x**5+1)*(x**5+x**3+1)**(1/3)*(2*x**5-3)/x**2/(2*x**10-2*x**8-x**6+4*x**5-2*x**3+2),x)","\int \frac{\left(x + 1\right) \left(2 x^{5} - 3\right) \sqrt[3]{x^{5} + x^{3} + 1} \left(x^{4} - x^{3} + x^{2} - x + 1\right)}{x^{2} \left(2 x^{10} - 2 x^{8} - x^{6} + 4 x^{5} - 2 x^{3} + 2\right)}\, dx"," ",0,"Integral((x + 1)*(2*x**5 - 3)*(x**5 + x**3 + 1)**(1/3)*(x**4 - x**3 + x**2 - x + 1)/(x**2*(2*x**10 - 2*x**8 - x**6 + 4*x**5 - 2*x**3 + 2)), x)","F",0
1728,0,0,0,0.000000," ","integrate((x**5+1)*(x**5+x**3+1)**(1/3)*(2*x**5-3)/x**2/(2*x**10-2*x**8-x**6+4*x**5-2*x**3+2),x)","\int \frac{\left(x + 1\right) \left(2 x^{5} - 3\right) \sqrt[3]{x^{5} + x^{3} + 1} \left(x^{4} - x^{3} + x^{2} - x + 1\right)}{x^{2} \left(2 x^{10} - 2 x^{8} - x^{6} + 4 x^{5} - 2 x^{3} + 2\right)}\, dx"," ",0,"Integral((x + 1)*(2*x**5 - 3)*(x**5 + x**3 + 1)**(1/3)*(x**4 - x**3 + x**2 - x + 1)/(x**2*(2*x**10 - 2*x**8 - x**6 + 4*x**5 - 2*x**3 + 2)), x)","F",0
1729,0,0,0,0.000000," ","integrate(x**4*(x**3-x)**(1/3),x)","\int x^{4} \sqrt[3]{x \left(x - 1\right) \left(x + 1\right)}\, dx"," ",0,"Integral(x**4*(x*(x - 1)*(x + 1))**(1/3), x)","F",0
1730,0,0,0,0.000000," ","integrate(x/(a*x**2-b)/(a*x**3+b*x)**(1/2),x)","\int \frac{x}{\sqrt{x \left(a x^{2} + b\right)} \left(a x^{2} - b\right)}\, dx"," ",0,"Integral(x/(sqrt(x*(a*x**2 + b))*(a*x**2 - b)), x)","F",0
1731,0,0,0,0.000000," ","integrate((a*x**3+b*x)**(1/2)/(a**2*x**4-b**2),x)","\int \frac{\sqrt{x \left(a x^{2} + b\right)}}{\left(a x^{2} - b\right) \left(a x^{2} + b\right)}\, dx"," ",0,"Integral(sqrt(x*(a*x**2 + b))/((a*x**2 - b)*(a*x**2 + b)), x)","F",0
1732,1,34,0,2.384435," ","integrate(x**19/(x**6-1)**(1/3),x)","- \frac{x^{20} e^{\frac{2 i \pi}{3}} \Gamma\left(\frac{10}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{10}{3} \\ \frac{13}{3} \end{matrix}\middle| {x^{6}} \right)}}{6 \Gamma\left(\frac{13}{3}\right)}"," ",0,"-x**20*exp(2*I*pi/3)*gamma(10/3)*hyper((1/3, 10/3), (13/3,), x**6)/(6*gamma(13/3))","C",0
1733,1,36,0,1.908216," ","integrate(x**15*(x**6-1)**(1/3),x)","- \frac{x^{16} e^{- \frac{2 i \pi}{3}} \Gamma\left(\frac{8}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, \frac{8}{3} \\ \frac{11}{3} \end{matrix}\middle| {x^{6}} \right)}}{6 \Gamma\left(\frac{11}{3}\right)}"," ",0,"-x**16*exp(-2*I*pi/3)*gamma(8/3)*hyper((-1/3, 8/3), (11/3,), x**6)/(6*gamma(11/3))","C",0
1734,1,29,0,2.296168," ","integrate(x**19/(x**6+1)**(1/3),x)","\frac{x^{20} \Gamma\left(\frac{10}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{10}{3} \\ \frac{13}{3} \end{matrix}\middle| {x^{6} e^{i \pi}} \right)}}{6 \Gamma\left(\frac{13}{3}\right)}"," ",0,"x**20*gamma(10/3)*hyper((1/3, 10/3), (13/3,), x**6*exp_polar(I*pi))/(6*gamma(13/3))","C",0
1735,1,31,0,1.870832," ","integrate(x**15*(x**6+1)**(1/3),x)","\frac{x^{16} \Gamma\left(\frac{8}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, \frac{8}{3} \\ \frac{11}{3} \end{matrix}\middle| {x^{6} e^{i \pi}} \right)}}{6 \Gamma\left(\frac{11}{3}\right)}"," ",0,"x**16*gamma(8/3)*hyper((-1/3, 8/3), (11/3,), x**6*exp_polar(I*pi))/(6*gamma(11/3))","C",0
1736,0,0,0,0.000000," ","integrate((x**6-a*x**3-b)/x**6/(a*x**4-b*x)**(1/4),x)","\int \frac{- a x^{3} - b + x^{6}}{x^{6} \sqrt[4]{x \left(a x^{3} - b\right)}}\, dx"," ",0,"Integral((-a*x**3 - b + x**6)/(x**6*(x*(a*x**3 - b))**(1/4)), x)","F",0
1737,-1,0,0,0.000000," ","integrate((3*x**6-x**4-3)/(x**6-x**4+1)/(x**6-x**4-x**3+1)**(1/3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1738,0,0,0,0.000000," ","integrate((a*x**6-b)/x**6/(a*x**4-b*x)**(1/4),x)","\int \frac{a x^{6} - b}{x^{6} \sqrt[4]{x \left(a x^{3} - b\right)}}\, dx"," ",0,"Integral((a*x**6 - b)/(x**6*(x*(a*x**3 - b))**(1/4)), x)","F",0
1739,0,0,0,0.000000," ","integrate((a*x**6+b)/x**6/(a*x**4-b*x)**(1/4),x)","\int \frac{a x^{6} + b}{x^{6} \sqrt[4]{x \left(a x^{3} - b\right)}}\, dx"," ",0,"Integral((a*x**6 + b)/(x**6*(x*(a*x**3 - b))**(1/4)), x)","F",0
1740,0,0,0,0.000000," ","integrate((x**4+x**2)**(1/4)*(x**8-x**4-1)/(x**4-1),x)","\int \frac{\sqrt[4]{x^{2} \left(x^{2} + 1\right)} \left(x^{8} - x^{4} - 1\right)}{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x**2*(x**2 + 1))**(1/4)*(x**8 - x**4 - 1)/((x - 1)*(x + 1)*(x**2 + 1)), x)","F",0
1741,-1,0,0,0.000000," ","integrate((2*x**8-a*x**4-b)/(a*x**4+b)**(1/4)/(x**8-a*x**4-b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1742,-1,0,0,0.000000," ","integrate((2*x**8-a*x**4-b)/(a*x**4+b)**(1/4)/(x**8-a*x**4-b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1743,0,0,0,0.000000," ","integrate((c*x**2-x*(a*x**2-b*x)**(1/2))**(1/2)/x**3/(a*x**2-b*x)**(1/2),x)","\int \frac{\sqrt{x \left(c x - \sqrt{a x^{2} - b x}\right)}}{x^{3} \sqrt{x \left(a x - b\right)}}\, dx"," ",0,"Integral(sqrt(x*(c*x - sqrt(a*x**2 - b*x)))/(x**3*sqrt(x*(a*x - b))), x)","F",0
1744,1,73,0,1.904342," ","integrate((x**3+b)/(x**3+a)**(1/3),x)","\frac{b x \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {\frac{x^{3} e^{i \pi}}{a}} \right)}}{3 \sqrt[3]{a} \Gamma\left(\frac{4}{3}\right)} + \frac{x^{4} \Gamma\left(\frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{4}{3} \\ \frac{7}{3} \end{matrix}\middle| {\frac{x^{3} e^{i \pi}}{a}} \right)}}{3 \sqrt[3]{a} \Gamma\left(\frac{7}{3}\right)}"," ",0,"b*x*gamma(1/3)*hyper((1/3, 1/3), (4/3,), x**3*exp_polar(I*pi)/a)/(3*a**(1/3)*gamma(4/3)) + x**4*gamma(4/3)*hyper((1/3, 4/3), (7/3,), x**3*exp_polar(I*pi)/a)/(3*a**(1/3)*gamma(7/3))","C",0
1745,0,0,0,0.000000," ","integrate((a*x**2+b)/(x**3+x)**(1/3),x)","\int \frac{a x^{2} + b}{\sqrt[3]{x \left(x^{2} + 1\right)}}\, dx"," ",0,"Integral((a*x**2 + b)/(x*(x**2 + 1))**(1/3), x)","F",0
1746,0,0,0,0.000000," ","integrate((x**3-x**2)**(1/3),x)","\int \sqrt[3]{x^{3} - x^{2}}\, dx"," ",0,"Integral((x**3 - x**2)**(1/3), x)","F",0
1747,0,0,0,0.000000," ","integrate(x**2*(x**3+x**2)**(1/3),x)","\int x^{2} \sqrt[3]{x^{2} \left(x + 1\right)}\, dx"," ",0,"Integral(x**2*(x**2*(x + 1))**(1/3), x)","F",0
1748,0,0,0,0.000000," ","integrate(x**4/(x**4+1)**2/(x**4+x**2)**(1/4),x)","\int \frac{x^{4}}{\sqrt[4]{x^{2} \left(x^{2} + 1\right)} \left(x^{4} + 1\right)^{2}}\, dx"," ",0,"Integral(x**4/((x**2*(x**2 + 1))**(1/4)*(x**4 + 1)**2), x)","F",0
1749,0,0,0,0.000000," ","integrate(x**4/(x**4+1)**2/(x**4+x**2)**(1/4),x)","\int \frac{x^{4}}{\sqrt[4]{x^{2} \left(x^{2} + 1\right)} \left(x^{4} + 1\right)^{2}}\, dx"," ",0,"Integral(x**4/((x**2*(x**2 + 1))**(1/4)*(x**4 + 1)**2), x)","F",0
1750,0,0,0,0.000000," ","integrate((x**4-3)*(x**4-x**3+1)*(x**4+x**3+1)**(2/3)/x**6/(x**4+1),x)","\int \frac{\left(x^{4} - 3\right) \left(x^{4} - x^{3} + 1\right) \left(x^{4} + x^{3} + 1\right)^{\frac{2}{3}}}{x^{6} \left(x^{4} + 1\right)}\, dx"," ",0,"Integral((x**4 - 3)*(x**4 - x**3 + 1)*(x**4 + x**3 + 1)**(2/3)/(x**6*(x**4 + 1)), x)","F",0
1751,0,0,0,0.000000," ","integrate((2*a*x**4-b)/(a*x**4+b)/(a*x**4+b*x**2)**(1/4),x)","\int \frac{2 a x^{4} - b}{\sqrt[4]{x^{2} \left(a x^{2} + b\right)} \left(a x^{4} + b\right)}\, dx"," ",0,"Integral((2*a*x**4 - b)/((x**2*(a*x**2 + b))**(1/4)*(a*x**4 + b)), x)","F",0
1752,0,0,0,0.000000," ","integrate((2*a*x**4-b)/(a*x**4+b)/(a*x**4+b*x**2)**(1/4),x)","\int \frac{2 a x^{4} - b}{\sqrt[4]{x^{2} \left(a x^{2} + b\right)} \left(a x^{4} + b\right)}\, dx"," ",0,"Integral((2*a*x**4 - b)/((x**2*(a*x**2 + b))**(1/4)*(a*x**4 + b)), x)","F",0
1753,0,0,0,0.000000," ","integrate((x**2+1)/(x**2-1)/(x**5+x)**(1/3),x)","\int \frac{x^{2} + 1}{\sqrt[3]{x \left(x^{4} + 1\right)} \left(x - 1\right) \left(x + 1\right)}\, dx"," ",0,"Integral((x**2 + 1)/((x*(x**4 + 1))**(1/3)*(x - 1)*(x + 1)), x)","F",0
1754,0,0,0,0.000000," ","integrate((x**2-1)*(x**6+x**2)**(1/4)/x**2/(x**2+1),x)","\int \frac{\sqrt[4]{x^{2} \left(x^{4} + 1\right)} \left(x - 1\right) \left(x + 1\right)}{x^{2} \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x**2*(x**4 + 1))**(1/4)*(x - 1)*(x + 1)/(x**2*(x**2 + 1)), x)","F",0
1755,0,0,0,0.000000," ","integrate((x**2-1)*(x**6+x**2)**(1/4)/x**2/(x**2+1),x)","\int \frac{\sqrt[4]{x^{2} \left(x^{4} + 1\right)} \left(x - 1\right) \left(x + 1\right)}{x^{2} \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x**2*(x**4 + 1))**(1/4)*(x - 1)*(x + 1)/(x**2*(x**2 + 1)), x)","F",0
1756,-1,0,0,0.000000," ","integrate((x**3-1)**(2/3)*(4*x**6-5*x**3+1)/x**6/(2*x**3-1)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1757,1,279,0,18.313765," ","integrate((1+x)**(1/2)*(1+(1+x)**(1/2))**(1/2)/(x-(1+x)**(1/2)),x)","\frac{4 \left(\sqrt{x + 1} + 1\right)^{\frac{3}{2}}}{3} + 4 \sqrt{\sqrt{x + 1} + 1} + 16 \left(\begin{cases} - \frac{\sqrt{5} \operatorname{acoth}{\left(\frac{2 \sqrt{5} \left(\sqrt{\sqrt{x + 1} + 1} - \frac{1}{2}\right)}{5} \right)}}{10} & \text{for}\: \left(\sqrt{\sqrt{x + 1} + 1} - \frac{1}{2}\right)^{2} > \frac{5}{4} \\- \frac{\sqrt{5} \operatorname{atanh}{\left(\frac{2 \sqrt{5} \left(\sqrt{\sqrt{x + 1} + 1} - \frac{1}{2}\right)}{5} \right)}}{10} & \text{for}\: \left(\sqrt{\sqrt{x + 1} + 1} - \frac{1}{2}\right)^{2} < \frac{5}{4} \end{cases}\right) + 16 \left(\begin{cases} - \frac{\sqrt{5} \operatorname{acoth}{\left(\frac{2 \sqrt{5} \left(\sqrt{\sqrt{x + 1} + 1} + \frac{1}{2}\right)}{5} \right)}}{10} & \text{for}\: \left(\sqrt{\sqrt{x + 1} + 1} + \frac{1}{2}\right)^{2} > \frac{5}{4} \\- \frac{\sqrt{5} \operatorname{atanh}{\left(\frac{2 \sqrt{5} \left(\sqrt{\sqrt{x + 1} + 1} + \frac{1}{2}\right)}{5} \right)}}{10} & \text{for}\: \left(\sqrt{\sqrt{x + 1} + 1} + \frac{1}{2}\right)^{2} < \frac{5}{4} \end{cases}\right) + 2 \log{\left(\sqrt{x + 1} - \sqrt{\sqrt{x + 1} + 1} \right)} - 2 \log{\left(\sqrt{x + 1} + \sqrt{\sqrt{x + 1} + 1} \right)}"," ",0,"4*(sqrt(x + 1) + 1)**(3/2)/3 + 4*sqrt(sqrt(x + 1) + 1) + 16*Piecewise((-sqrt(5)*acoth(2*sqrt(5)*(sqrt(sqrt(x + 1) + 1) - 1/2)/5)/10, (sqrt(sqrt(x + 1) + 1) - 1/2)**2 > 5/4), (-sqrt(5)*atanh(2*sqrt(5)*(sqrt(sqrt(x + 1) + 1) - 1/2)/5)/10, (sqrt(sqrt(x + 1) + 1) - 1/2)**2 < 5/4)) + 16*Piecewise((-sqrt(5)*acoth(2*sqrt(5)*(sqrt(sqrt(x + 1) + 1) + 1/2)/5)/10, (sqrt(sqrt(x + 1) + 1) + 1/2)**2 > 5/4), (-sqrt(5)*atanh(2*sqrt(5)*(sqrt(sqrt(x + 1) + 1) + 1/2)/5)/10, (sqrt(sqrt(x + 1) + 1) + 1/2)**2 < 5/4)) + 2*log(sqrt(x + 1) - sqrt(sqrt(x + 1) + 1)) - 2*log(sqrt(x + 1) + sqrt(sqrt(x + 1) + 1))","A",0
1758,0,0,0,0.000000," ","integrate((a*x+b)**(1/2)/(a*b*x+(a*x+b)**(1/2))**(1/2),x)","\int \frac{\sqrt{a x + b}}{\sqrt{a b x + \sqrt{a x + b}}}\, dx"," ",0,"Integral(sqrt(a*x + b)/sqrt(a*b*x + sqrt(a*x + b)), x)","F",0
1759,0,0,0,0.000000," ","integrate((a**2*x**4+b)**(1/2)/(a*x**2+(a**2*x**4+b)**(1/2))**(1/2),x)","\int \frac{\sqrt{a^{2} x^{4} + b}}{\sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}\, dx"," ",0,"Integral(sqrt(a**2*x**4 + b)/sqrt(a*x**2 + sqrt(a**2*x**4 + b)), x)","F",0
1760,0,0,0,0.000000," ","integrate(1/(e*x+f)/(d+(c+(a*x+b)**(1/2))**(1/2))**(1/2),x)","\int \frac{1}{\sqrt{d + \sqrt{c + \sqrt{a x + b}}} \left(e x + f\right)}\, dx"," ",0,"Integral(1/(sqrt(d + sqrt(c + sqrt(a*x + b)))*(e*x + f)), x)","F",0
1761,-1,0,0,0.000000," ","integrate((-a*b+(-a+2*b)*x)/(x*(-a+x)*(-b+x)**2)**(1/4)/(-b**2+(-a*d+2*b)*x+(-1+d)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1762,1,36,0,2.777575," ","integrate(x**13*(x**3-1)**(1/3),x)","- \frac{x^{14} e^{- \frac{2 i \pi}{3}} \Gamma\left(\frac{14}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, \frac{14}{3} \\ \frac{17}{3} \end{matrix}\middle| {x^{3}} \right)}}{3 \Gamma\left(\frac{17}{3}\right)}"," ",0,"-x**14*exp(-2*I*pi/3)*gamma(14/3)*hyper((-1/3, 14/3), (17/3,), x**3)/(3*gamma(17/3))","C",0
1763,-1,0,0,0.000000," ","integrate((a*b**2-2*(2*a-b)*b*x+(3*a-2*b)*x**2)/(x*(-a+x)*(-b+x)**2)**(1/4)/(a**3+(b**2*d-3*a**2)*x+(-2*b*d+3*a)*x**2+(-1+d)*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1764,-1,0,0,0.000000," ","integrate((2*x**3+x)**(1/3)*(x**4-1)/x**4/(x**4-x**2+2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1765,0,0,0,0.000000," ","integrate((2*a*x**4+b)/(a*x**4-b)/(a*x**4+b*x**2)**(1/4),x)","\int \frac{2 a x^{4} + b}{\sqrt[4]{x^{2} \left(a x^{2} + b\right)} \left(a x^{4} - b\right)}\, dx"," ",0,"Integral((2*a*x**4 + b)/((x**2*(a*x**2 + b))**(1/4)*(a*x**4 - b)), x)","F",0
1766,0,0,0,0.000000," ","integrate((2*a*x**4+b)/(a*x**4-b)/(a*x**4+b*x**2)**(1/4),x)","\int \frac{2 a x^{4} + b}{\sqrt[4]{x^{2} \left(a x^{2} + b\right)} \left(a x^{4} - b\right)}\, dx"," ",0,"Integral((2*a*x**4 + b)/((x**2*(a*x**2 + b))**(1/4)*(a*x**4 - b)), x)","F",0
1767,0,0,0,0.000000," ","integrate((x**6+1)*(x**6-x**3-1)**(2/3)/x**3/(x**6-1),x)","\int \frac{\left(x^{2} + 1\right) \left(x^{4} - x^{2} + 1\right) \left(x^{6} - x^{3} - 1\right)^{\frac{2}{3}}}{x^{3} \left(x - 1\right) \left(x + 1\right) \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)}\, dx"," ",0,"Integral((x**2 + 1)*(x**4 - x**2 + 1)*(x**6 - x**3 - 1)**(2/3)/(x**3*(x - 1)*(x + 1)*(x**2 - x + 1)*(x**2 + x + 1)), x)","F",0
1768,0,0,0,0.000000," ","integrate((x**6+4)*(x**6-x**4-2)**(1/4)/x**2/(x**6-2),x)","\int \frac{\left(x^{6} + 4\right) \sqrt[4]{x^{6} - x^{4} - 2}}{x^{2} \left(x^{6} - 2\right)}\, dx"," ",0,"Integral((x**6 + 4)*(x**6 - x**4 - 2)**(1/4)/(x**2*(x**6 - 2)), x)","F",0
1769,0,0,0,0.000000," ","integrate((a*x**8+b*x**7)**(1/4),x)","\int \sqrt[4]{a x^{8} + b x^{7}}\, dx"," ",0,"Integral((a*x**8 + b*x**7)**(1/4), x)","F",0
1770,-1,0,0,0.000000," ","integrate((x**10-1)/(x**4+1)**(1/2)/(x**10+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1771,0,0,0,0.000000," ","integrate((x**10+1)/(x**4+1)**(1/2)/(x**10-1),x)","\int \frac{\left(x^{2} + 1\right) \left(x^{8} - x^{6} + x^{4} - x^{2} + 1\right)}{\left(x - 1\right) \left(x + 1\right) \sqrt{x^{4} + 1} \left(x^{4} - x^{3} + x^{2} - x + 1\right) \left(x^{4} + x^{3} + x^{2} + x + 1\right)}\, dx"," ",0,"Integral((x**2 + 1)*(x**8 - x**6 + x**4 - x**2 + 1)/((x - 1)*(x + 1)*sqrt(x**4 + 1)*(x**4 - x**3 + x**2 - x + 1)*(x**4 + x**3 + x**2 + x + 1)), x)","F",0
1772,-1,0,0,0.000000," ","integrate((x**16+1)/(x**4+1)**(1/2)/(x**16-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1773,1,90,0,5.577225," ","integrate((a*x+b)**(1/2)*(c+(a*x+b)**(1/2))**(1/2)/(1-(a*x+b)**(1/2)),x)","\frac{2 \left(\frac{2 \left(c - 1\right) \left(c + \sqrt{a x + b}\right)^{\frac{3}{2}}}{3} - \frac{2 \left(c + \sqrt{a x + b}\right)^{\frac{5}{2}}}{5} - 2 \sqrt{c + \sqrt{a x + b}} - \frac{2 \left(c + 1\right) \operatorname{atan}{\left(\frac{\sqrt{c + \sqrt{a x + b}}}{\sqrt{- c - 1}} \right)}}{\sqrt{- c - 1}}\right)}{a}"," ",0,"2*(2*(c - 1)*(c + sqrt(a*x + b))**(3/2)/3 - 2*(c + sqrt(a*x + b))**(5/2)/5 - 2*sqrt(c + sqrt(a*x + b)) - 2*(c + 1)*atan(sqrt(c + sqrt(a*x + b))/sqrt(-c - 1))/sqrt(-c - 1))/a","A",0
1774,0,0,0,0.000000," ","integrate(x*(x**2-1)**(1/2)*(x**2+x*(x**2-1)**(1/2))**(1/2),x)","\int x \sqrt{x \left(x + \sqrt{x^{2} - 1}\right)} \sqrt{\left(x - 1\right) \left(x + 1\right)}\, dx"," ",0,"Integral(x*sqrt(x*(x + sqrt(x**2 - 1)))*sqrt((x - 1)*(x + 1)), x)","F",0
1775,1,323,0,8.297618," ","integrate((p*x**2-q)*(p**2*x**4+q**2)**(1/2)*(b*x**3+a*(p*x**2+q)**3)/x**6,x)","\frac{a p^{4} q x^{3} \Gamma\left(\frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{3}{4} \\ \frac{7}{4} \end{matrix}\middle| {\frac{p^{2} x^{4} e^{i \pi}}{q^{2}}} \right)}}{4 \Gamma\left(\frac{7}{4}\right)} + \frac{a p^{3} q^{2} x \Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{1}{4} \\ \frac{5}{4} \end{matrix}\middle| {\frac{p^{2} x^{4} e^{i \pi}}{q^{2}}} \right)}}{2 \Gamma\left(\frac{5}{4}\right)} - \frac{a p q^{4} \Gamma\left(- \frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, - \frac{1}{2} \\ \frac{1}{4} \end{matrix}\middle| {\frac{p^{2} x^{4} e^{i \pi}}{q^{2}}} \right)}}{2 x^{3} \Gamma\left(\frac{1}{4}\right)} - \frac{a q^{5} \Gamma\left(- \frac{5}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{5}{4}, - \frac{1}{2} \\ - \frac{1}{4} \end{matrix}\middle| {\frac{p^{2} x^{4} e^{i \pi}}{q^{2}}} \right)}}{4 x^{5} \Gamma\left(- \frac{1}{4}\right)} + \frac{b p^{2} x^{2}}{2 \sqrt{\frac{p^{2} x^{4}}{q^{2}} + 1}} + \frac{b p^{2} x^{2}}{2 \sqrt{1 + \frac{q^{2}}{p^{2} x^{4}}}} - \frac{b p q \operatorname{asinh}{\left(\frac{q}{p x^{2}} \right)}}{2} - \frac{b p q \operatorname{asinh}{\left(\frac{p x^{2}}{q} \right)}}{2} + \frac{b q^{2}}{2 x^{2} \sqrt{\frac{p^{2} x^{4}}{q^{2}} + 1}} + \frac{b q^{2}}{2 x^{2} \sqrt{1 + \frac{q^{2}}{p^{2} x^{4}}}}"," ",0,"a*p**4*q*x**3*gamma(3/4)*hyper((-1/2, 3/4), (7/4,), p**2*x**4*exp_polar(I*pi)/q**2)/(4*gamma(7/4)) + a*p**3*q**2*x*gamma(1/4)*hyper((-1/2, 1/4), (5/4,), p**2*x**4*exp_polar(I*pi)/q**2)/(2*gamma(5/4)) - a*p*q**4*gamma(-3/4)*hyper((-3/4, -1/2), (1/4,), p**2*x**4*exp_polar(I*pi)/q**2)/(2*x**3*gamma(1/4)) - a*q**5*gamma(-5/4)*hyper((-5/4, -1/2), (-1/4,), p**2*x**4*exp_polar(I*pi)/q**2)/(4*x**5*gamma(-1/4)) + b*p**2*x**2/(2*sqrt(p**2*x**4/q**2 + 1)) + b*p**2*x**2/(2*sqrt(1 + q**2/(p**2*x**4))) - b*p*q*asinh(q/(p*x**2))/2 - b*p*q*asinh(p*x**2/q)/2 + b*q**2/(2*x**2*sqrt(p**2*x**4/q**2 + 1)) + b*q**2/(2*x**2*sqrt(1 + q**2/(p**2*x**4)))","C",0
1776,1,32,0,4.133114," ","integrate((x**2-1)*(x**2+(x**4+1)**(1/2))**(1/2)/(x**4+1)**(1/2),x)","- \frac{{G_{3, 3}^{2, 2}\left(\begin{matrix} 1, 1 & \frac{1}{2} \\\frac{1}{4}, \frac{3}{4} & 0 \end{matrix} \middle| {x^{4}} \right)}}{4 \sqrt{\pi}} + \frac{{G_{3, 3}^{2, 2}\left(\begin{matrix} \frac{3}{2}, 1 & 1 \\\frac{3}{4}, \frac{5}{4} & 0 \end{matrix} \middle| {x^{4}} \right)}}{4 \sqrt{\pi}}"," ",0,"-meijerg(((1, 1), (1/2,)), ((1/4, 3/4), (0,)), x**4)/(4*sqrt(pi)) + meijerg(((3/2, 1), (1,)), ((3/4, 5/4), (0,)), x**4)/(4*sqrt(pi))","A",0
1777,1,175,0,138.848024," ","integrate(x*(1+x)**(1/2)/(x+(1+(1+x)**(1/2))**(1/2)),x)","2 \sqrt{x + 1} - \frac{4 \left(\sqrt{x + 1} + 1\right)^{\frac{3}{2}}}{3} + \frac{2 \left(\sqrt{x + 1} + 1\right)^{3}}{3} - 2 \left(\sqrt{x + 1} + 1\right)^{2} - 8 \left(\begin{cases} - \frac{\sqrt{5} \operatorname{acoth}{\left(\frac{2 \sqrt{5} \left(\sqrt{\sqrt{x + 1} + 1} + \frac{1}{2}\right)}{5} \right)}}{10} & \text{for}\: \left(\sqrt{\sqrt{x + 1} + 1} + \frac{1}{2}\right)^{2} > \frac{5}{4} \\- \frac{\sqrt{5} \operatorname{atanh}{\left(\frac{2 \sqrt{5} \left(\sqrt{\sqrt{x + 1} + 1} + \frac{1}{2}\right)}{5} \right)}}{10} & \text{for}\: \left(\sqrt{\sqrt{x + 1} + 1} + \frac{1}{2}\right)^{2} < \frac{5}{4} \end{cases}\right) + 2 \log{\left(\sqrt{x + 1} + \sqrt{\sqrt{x + 1} + 1} \right)} + 2"," ",0,"2*sqrt(x + 1) - 4*(sqrt(x + 1) + 1)**(3/2)/3 + 2*(sqrt(x + 1) + 1)**3/3 - 2*(sqrt(x + 1) + 1)**2 - 8*Piecewise((-sqrt(5)*acoth(2*sqrt(5)*(sqrt(sqrt(x + 1) + 1) + 1/2)/5)/10, (sqrt(sqrt(x + 1) + 1) + 1/2)**2 > 5/4), (-sqrt(5)*atanh(2*sqrt(5)*(sqrt(sqrt(x + 1) + 1) + 1/2)/5)/10, (sqrt(sqrt(x + 1) + 1) + 1/2)**2 < 5/4)) + 2*log(sqrt(x + 1) + sqrt(sqrt(x + 1) + 1)) + 2","A",0
1778,0,0,0,0.000000," ","integrate((x**3-x)**(1/3)*(x**4-10*x**2+8)/x**4/(x**4-2*x**2+4),x)","\int \frac{\sqrt[3]{x \left(x - 1\right) \left(x + 1\right)} \left(x^{4} - 10 x^{2} + 8\right)}{x^{4} \left(x^{4} - 2 x^{2} + 4\right)}\, dx"," ",0,"Integral((x*(x - 1)*(x + 1))**(1/3)*(x**4 - 10*x**2 + 8)/(x**4*(x**4 - 2*x**2 + 4)), x)","F",0
1779,0,0,0,0.000000," ","integrate((x**3-x)**(1/3)*(x**4-10*x**2+8)/x**4/(x**4-2*x**2+4),x)","\int \frac{\sqrt[3]{x \left(x - 1\right) \left(x + 1\right)} \left(x^{4} - 10 x^{2} + 8\right)}{x^{4} \left(x^{4} - 2 x^{2} + 4\right)}\, dx"," ",0,"Integral((x*(x - 1)*(x + 1))**(1/3)*(x**4 - 10*x**2 + 8)/(x**4*(x**4 - 2*x**2 + 4)), x)","F",0
1780,0,0,0,0.000000," ","integrate((x**2-1)/(x**2+1)/(x**4+x**3-x**2-x+1)**(1/2),x)","\int \frac{\left(x - 1\right) \left(x + 1\right)}{\left(x^{2} + 1\right) \sqrt{x^{4} + x^{3} - x^{2} - x + 1}}\, dx"," ",0,"Integral((x - 1)*(x + 1)/((x**2 + 1)*sqrt(x**4 + x**3 - x**2 - x + 1)), x)","F",0
1781,0,0,0,0.000000," ","integrate((x**2-1)/(x**2+1)/(x**4+x**3-x**2-x+1)**(1/2),x)","\int \frac{\left(x - 1\right) \left(x + 1\right)}{\left(x^{2} + 1\right) \sqrt{x^{4} + x^{3} - x^{2} - x + 1}}\, dx"," ",0,"Integral((x - 1)*(x + 1)/((x**2 + 1)*sqrt(x**4 + x**3 - x**2 - x + 1)), x)","F",0
1782,0,0,0,0.000000," ","integrate((x**4-1)/(x**4+1)/(x**4+x**3-x**2-x+1)**(1/2),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}{\left(x^{4} + 1\right) \sqrt{x^{4} + x^{3} - x^{2} - x + 1}}\, dx"," ",0,"Integral((x - 1)*(x + 1)*(x**2 + 1)/((x**4 + 1)*sqrt(x**4 + x**3 - x**2 - x + 1)), x)","F",0
1783,0,0,0,0.000000," ","integrate((x**4-1)/(x**4+1)/(x**4+x**3-x**2-x+1)**(1/2),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}{\left(x^{4} + 1\right) \sqrt{x^{4} + x^{3} - x^{2} - x + 1}}\, dx"," ",0,"Integral((x - 1)*(x + 1)*(x**2 + 1)/((x**4 + 1)*sqrt(x**4 + x**3 - x**2 - x + 1)), x)","F",0
1784,0,0,0,0.000000," ","integrate((a*x**8+b)/x**6/(a*x**4-b)/(a*x**4+b)**(3/4),x)","\int \frac{a x^{8} + b}{x^{6} \left(a x^{4} - b\right) \left(a x^{4} + b\right)^{\frac{3}{4}}}\, dx"," ",0,"Integral((a*x**8 + b)/(x**6*(a*x**4 - b)*(a*x**4 + b)**(3/4)), x)","F",0
1785,-1,0,0,0.000000," ","integrate((2*a*x**4-b)/(a*x**4-b)**(1/4)/(2*a*x**8-c*x**4-2*b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1786,-1,0,0,0.000000," ","integrate((2*a*x**4-b)/(a*x**4-b)**(1/4)/(2*a*x**8-c*x**4-2*b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1787,-1,0,0,0.000000," ","integrate((-a*b-a*c+3*b*c+2*(a-b-c)*x+x**2)/((-a+x)*(-b+x)*(-c+x))**(1/4)/(-a**3-b*c*d+(3*a**2+b*d+c*d)*x-(3*a+d)*x**2+x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1788,0,0,0,0.000000," ","integrate(1/(a*x-b)/(a**2*x**3+b**2*x)**(1/4),x)","\int \frac{1}{\sqrt[4]{x \left(a^{2} x^{2} + b^{2}\right)} \left(a x - b\right)}\, dx"," ",0,"Integral(1/((x*(a**2*x**2 + b**2))**(1/4)*(a*x - b)), x)","F",0
1789,0,0,0,0.000000," ","integrate((x**2+2)*(x**2-2*x-2)*(x**4-3*x**2+4)**(1/2)/x**2/(x**2-2)/(2*x**2+x-4),x)","\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)}\, dx"," ",0,"Integral((x**2 + 2)*(x**2 - 2*x - 2)*sqrt(x**4 - 3*x**2 + 4)/(x**2*(x**2 - 2)*(2*x**2 + x - 4)), x)","F",0
1790,0,0,0,0.000000," ","integrate((1+x)/(-1+x)/(x**4+x**2)**(1/3),x)","\int \frac{x + 1}{\sqrt[3]{x^{2} \left(x^{2} + 1\right)} \left(x - 1\right)}\, dx"," ",0,"Integral((x + 1)/((x**2*(x**2 + 1))**(1/3)*(x - 1)), x)","F",0
1791,0,0,0,0.000000," ","integrate((a**4*x**4-b**2)/(a**2*x**3+b*x)**(1/2)/(a**4*x**4+b**2),x)","\int \frac{\left(a^{2} x^{2} - b\right) \left(a^{2} x^{2} + b\right)}{\sqrt{x \left(a^{2} x^{2} + b\right)} \left(a^{4} x^{4} + b^{2}\right)}\, dx"," ",0,"Integral((a**2*x**2 - b)*(a**2*x**2 + b)/(sqrt(x*(a**2*x**2 + b))*(a**4*x**4 + b**2)), x)","F",0
1792,0,0,0,0.000000," ","integrate((x**2-1)/(x**2+1)/(x**5+x)**(1/3),x)","\int \frac{\left(x - 1\right) \left(x + 1\right)}{\sqrt[3]{x \left(x^{4} + 1\right)} \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x - 1)*(x + 1)/((x*(x**4 + 1))**(1/3)*(x**2 + 1)), x)","F",0
1793,0,0,0,0.000000," ","integrate((x**4+1)*(x**4-x**2)**(1/4)/(x**8+x**4+1),x)","\int \frac{\sqrt[4]{x^{2} \left(x - 1\right) \left(x + 1\right)} \left(x^{4} + 1\right)}{\left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right) \left(x^{4} - x^{2} + 1\right)}\, dx"," ",0,"Integral((x**2*(x - 1)*(x + 1))**(1/4)*(x**4 + 1)/((x**2 - x + 1)*(x**2 + x + 1)*(x**4 - x**2 + 1)), x)","F",0
1794,0,0,0,0.000000," ","integrate((x**4+1)*(x**4-x**2)**(1/4)/(x**8+x**4+1),x)","\int \frac{\sqrt[4]{x^{2} \left(x - 1\right) \left(x + 1\right)} \left(x^{4} + 1\right)}{\left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right) \left(x^{4} - x^{2} + 1\right)}\, dx"," ",0,"Integral((x**2*(x - 1)*(x + 1))**(1/4)*(x**4 + 1)/((x**2 - x + 1)*(x**2 + x + 1)*(x**4 - x**2 + 1)), x)","F",0
1795,-1,0,0,0.000000," ","integrate((2*x**8-2*x**4+1)/(x**4-1)**(1/4)/(2*x**8-x**4-2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1796,0,0,0,0.000000," ","integrate((x**2-x)**(1/2)*(x**2-x*(x**2-x)**(1/2))**(1/2)/x**3,x)","\int \frac{\sqrt{x \left(x - 1\right)} \sqrt{x \left(x - \sqrt{x^{2} - x}\right)}}{x^{3}}\, dx"," ",0,"Integral(sqrt(x*(x - 1))*sqrt(x*(x - sqrt(x**2 - x)))/x**3, x)","F",0
1797,0,0,0,0.000000," ","integrate((2*a*x+b)/(a*x**2+b*x+c)**(1/4)/(4*a*x**2+4*b*x+5*c),x)","\int \frac{2 a x + b}{\sqrt[4]{a x^{2} + b x + c} \left(4 a x^{2} + 4 b x + 5 c\right)}\, dx"," ",0,"Integral((2*a*x + b)/((a*x**2 + b*x + c)**(1/4)*(4*a*x**2 + 4*b*x + 5*c)), x)","F",0
1798,0,0,0,0.000000," ","integrate(x**6*(x**3-x)**(1/3),x)","\int x^{6} \sqrt[3]{x \left(x - 1\right) \left(x + 1\right)}\, dx"," ",0,"Integral(x**6*(x*(x - 1)*(x + 1))**(1/3), x)","F",0
1799,0,0,0,0.000000," ","integrate(1/(x**3+x**2-x-1)**(1/3),x)","\int \frac{1}{\sqrt[3]{x^{3} + x^{2} - x - 1}}\, dx"," ",0,"Integral((x**3 + x**2 - x - 1)**(-1/3), x)","F",0
1800,0,0,0,0.000000," ","integrate((2*x**4+1)/(x**4-1)/(x**4-x**2)**(1/4),x)","\int \frac{2 x^{4} + 1}{\sqrt[4]{x^{2} \left(x - 1\right) \left(x + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((2*x**4 + 1)/((x**2*(x - 1)*(x + 1))**(1/4)*(x - 1)*(x + 1)*(x**2 + 1)), x)","F",0
1801,0,0,0,0.000000," ","integrate((a*x**4-b)*(a*x**4+b*x**2)**(1/4)/x**2,x)","\int \frac{\sqrt[4]{x^{2} \left(a x^{2} + b\right)} \left(a x^{4} - b\right)}{x^{2}}\, dx"," ",0,"Integral((x**2*(a*x**2 + b))**(1/4)*(a*x**4 - b)/x**2, x)","F",0
1802,0,0,0,0.000000," ","integrate((a*x**4+b)*(a*x**4+b*x**2)**(1/4)/x**2,x)","\int \frac{\sqrt[4]{x^{2} \left(a x^{2} + b\right)} \left(a x^{4} + b\right)}{x^{2}}\, dx"," ",0,"Integral((x**2*(a*x**2 + b))**(1/4)*(a*x**4 + b)/x**2, x)","F",0
1803,0,0,0,0.000000," ","integrate((2*a*x**4+b)/(a*x**4-b)/(a*x**4-b*x**2)**(1/4),x)","\int \frac{2 a x^{4} + b}{\sqrt[4]{x^{2} \left(a x^{2} - b\right)} \left(a x^{4} - b\right)}\, dx"," ",0,"Integral((2*a*x**4 + b)/((x**2*(a*x**2 - b))**(1/4)*(a*x**4 - b)), x)","F",0
1804,0,0,0,0.000000," ","integrate((2*a*x**4+b)/(a*x**4-b)/(a*x**4-b*x**2)**(1/4),x)","\int \frac{2 a x^{4} + b}{\sqrt[4]{x^{2} \left(a x^{2} - b\right)} \left(a x^{4} - b\right)}\, dx"," ",0,"Integral((2*a*x**4 + b)/((x**2*(a*x**2 - b))**(1/4)*(a*x**4 - b)), x)","F",0
1805,1,122,0,3.357588," ","integrate((2*x**8-2*a*x**4-b)/(a*x**4-b)**(1/4),x)","\frac{a x^{5} e^{\frac{3 i \pi}{4}} \Gamma\left(\frac{5}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{4}, \frac{5}{4} \\ \frac{9}{4} \end{matrix}\middle| {\frac{a x^{4}}{b}} \right)}}{2 \sqrt[4]{b} \Gamma\left(\frac{9}{4}\right)} - \frac{b^{\frac{3}{4}} x e^{- \frac{i \pi}{4}} \Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{4}, \frac{1}{4} \\ \frac{5}{4} \end{matrix}\middle| {\frac{a x^{4}}{b}} \right)}}{4 \Gamma\left(\frac{5}{4}\right)} + \frac{x^{9} e^{- \frac{i \pi}{4}} \Gamma\left(\frac{9}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{4}, \frac{9}{4} \\ \frac{13}{4} \end{matrix}\middle| {\frac{a x^{4}}{b}} \right)}}{2 \sqrt[4]{b} \Gamma\left(\frac{13}{4}\right)}"," ",0,"a*x**5*exp(3*I*pi/4)*gamma(5/4)*hyper((1/4, 5/4), (9/4,), a*x**4/b)/(2*b**(1/4)*gamma(9/4)) - b**(3/4)*x*exp(-I*pi/4)*gamma(1/4)*hyper((1/4, 1/4), (5/4,), a*x**4/b)/(4*gamma(5/4)) + x**9*exp(-I*pi/4)*gamma(9/4)*hyper((1/4, 9/4), (13/4,), a*x**4/b)/(2*b**(1/4)*gamma(13/4))","C",0
1806,0,0,0,0.000000," ","integrate((-1+x)/(x**2-2*x-4)/(x**2-2*x-2)**(1/3),x)","\int \frac{x - 1}{\left(x^{2} - 2 x - 4\right) \sqrt[3]{x^{2} - 2 x - 2}}\, dx"," ",0,"Integral((x - 1)/((x**2 - 2*x - 4)*(x**2 - 2*x - 2)**(1/3)), x)","F",0
1807,0,0,0,0.000000," ","integrate(1/(1+x)/(x**2+2*x+3)**(1/3),x)","\int \frac{1}{\left(x + 1\right) \sqrt[3]{x^{2} + 2 x + 3}}\, dx"," ",0,"Integral(1/((x + 1)*(x**2 + 2*x + 3)**(1/3)), x)","F",0
1808,1,42,0,0.951946," ","integrate(1/x/(a*x**2-b)**(3/4),x)","- \frac{\Gamma\left(\frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{3}{4} \\ \frac{7}{4} \end{matrix}\middle| {\frac{b e^{2 i \pi}}{a x^{2}}} \right)}}{2 a^{\frac{3}{4}} x^{\frac{3}{2}} \Gamma\left(\frac{7}{4}\right)}"," ",0,"-gamma(3/4)*hyper((3/4, 3/4), (7/4,), b*exp_polar(2*I*pi)/(a*x**2))/(2*a**(3/4)*x**(3/2)*gamma(7/4))","C",0
1809,1,39,0,0.893081," ","integrate(1/x/(a*x**3-b)**(1/3),x)","- \frac{\Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {\frac{b e^{2 i \pi}}{a x^{3}}} \right)}}{3 \sqrt[3]{a} x \Gamma\left(\frac{4}{3}\right)}"," ",0,"-gamma(1/3)*hyper((1/3, 1/3), (4/3,), b*exp_polar(2*I*pi)/(a*x**3))/(3*a**(1/3)*x*gamma(4/3))","C",0
1810,0,0,0,0.000000," ","integrate((a**3*x**3-b**3)/(a**2*x**3+b**2*x)**(1/2)/(a**3*x**3+b**3),x)","\int \frac{\left(a x - b\right) \left(a^{2} x^{2} + a b x + b^{2}\right)}{\sqrt{x \left(a^{2} x^{2} + b^{2}\right)} \left(a x + b\right) \left(a^{2} x^{2} - a b x + b^{2}\right)}\, dx"," ",0,"Integral((a*x - b)*(a**2*x**2 + a*b*x + b**2)/(sqrt(x*(a**2*x**2 + b**2))*(a*x + b)*(a**2*x**2 - a*b*x + b**2)), x)","F",0
1811,0,0,0,0.000000," ","integrate((a**3*x**3+b**3)/(a**2*x**3+b**2*x)**(1/2)/(a**3*x**3-b**3),x)","\int \frac{\left(a x + b\right) \left(a^{2} x^{2} - a b x + b^{2}\right)}{\sqrt{x \left(a^{2} x^{2} + b^{2}\right)} \left(a x - b\right) \left(a^{2} x^{2} + a b x + b^{2}\right)}\, dx"," ",0,"Integral((a*x + b)*(a**2*x**2 - a*b*x + b**2)/(sqrt(x*(a**2*x**2 + b**2))*(a*x - b)*(a**2*x**2 + a*b*x + b**2)), x)","F",0
1812,0,0,0,0.000000," ","integrate((x**4+x**3)**(1/4)/(2*x**2+x-2),x)","\int \frac{\sqrt[4]{x^{3} \left(x + 1\right)}}{2 x^{2} + x - 2}\, dx"," ",0,"Integral((x**3*(x + 1))**(1/4)/(2*x**2 + x - 2), x)","F",0
1813,-1,0,0,0.000000," ","integrate((a*x**3-4*b)*(-a*x**3+x**4+b)/x**4/(a*x**3-b)**(1/4)/(a*x**3+x**4-b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1814,0,0,0,0.000000," ","integrate((x**2-2)*(x**2-1)*(x**4+x**2-1)**(1/4)/x**6/(2*x**4+x**2-1),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \left(x^{2} - 2\right) \sqrt[4]{x^{4} + x^{2} - 1}}{x^{6} \left(x^{2} + 1\right) \left(2 x^{2} - 1\right)}\, dx"," ",0,"Integral((x - 1)*(x + 1)*(x**2 - 2)*(x**4 + x**2 - 1)**(1/4)/(x**6*(x**2 + 1)*(2*x**2 - 1)), x)","F",0
1815,0,0,0,0.000000," ","integrate(x**2*(a*x**4+b*x**3)**(1/4),x)","\int x^{2} \sqrt[4]{x^{3} \left(a x + b\right)}\, dx"," ",0,"Integral(x**2*(x**3*(a*x + b))**(1/4), x)","F",0
1816,0,0,0,0.000000," ","integrate((x**6+1)/(x**3+x**2+x)**(1/2)/(-x**6+1),x)","- \int \frac{x^{6}}{x^{6} \sqrt{x^{3} + x^{2} + x} - \sqrt{x^{3} + x^{2} + x}}\, dx - \int \frac{1}{x^{6} \sqrt{x^{3} + x^{2} + x} - \sqrt{x^{3} + x^{2} + x}}\, dx"," ",0,"-Integral(x**6/(x**6*sqrt(x**3 + x**2 + x) - sqrt(x**3 + x**2 + x)), x) - Integral(1/(x**6*sqrt(x**3 + x**2 + x) - sqrt(x**3 + x**2 + x)), x)","F",0
1817,0,0,0,0.000000," ","integrate((3*x**6-3*x**3+1)/x**6/(2*x**3-1)/(x**4-x)**(1/4),x)","\int \frac{3 x^{6} - 3 x^{3} + 1}{x^{6} \sqrt[4]{x \left(x - 1\right) \left(x^{2} + x + 1\right)} \left(2 x^{3} - 1\right)}\, dx"," ",0,"Integral((3*x**6 - 3*x**3 + 1)/(x**6*(x*(x - 1)*(x**2 + x + 1))**(1/4)*(2*x**3 - 1)), x)","F",0
1818,0,0,0,0.000000," ","integrate((a*x**6+b)/x**3/(a*x**3+b)/(a*x**4+b*x)**(1/4),x)","\int \frac{a x^{6} + b}{x^{3} \sqrt[4]{x \left(a x^{3} + b\right)} \left(a x^{3} + b\right)}\, dx"," ",0,"Integral((a*x**6 + b)/(x**3*(x*(a*x**3 + b))**(1/4)*(a*x**3 + b)), x)","F",0
1819,0,0,0,0.000000," ","integrate((x**4-x**2-x-1)*(2*x**4+x+2)/(x**4-x-1)**(1/2)/(4*x**8+x**6-8*x**5-7*x**4-x**3+3*x**2+8*x+4),x)","\int \frac{\left(x + 1\right) \left(x^{3} - x^{2} - 1\right) \left(2 x^{4} + x + 2\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)}\, dx"," ",0,"Integral((x + 1)*(x**3 - x**2 - 1)*(2*x**4 + x + 2)/(sqrt(x**4 - x - 1)*(4*x**8 + x**6 - 8*x**5 - 7*x**4 - x**3 + 3*x**2 + 8*x + 4)), x)","F",0
1820,-1,0,0,0.000000," ","integrate((x**6+1)**2*(2*x**6-1)/(x**6-x**2+1)**(3/2)/(x**12-x**8+2*x**6-x**4-x**2+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1821,0,0,0,0.000000," ","integrate(1/(2*x**(1/2)+(1+x)**(1/2))**2,x)","\int \frac{1}{\left(2 \sqrt{x} + \sqrt{x + 1}\right)^{2}}\, dx"," ",0,"Integral((2*sqrt(x) + sqrt(x + 1))**(-2), x)","F",0
1822,0,0,0,0.000000," ","integrate(1/x**3/(a*x**2+b*x*(-a/b**2+a**2*x**2/b**2)**(1/2))**(1/2),x)","\int \frac{1}{x^{3} \sqrt{x \left(a x + b \sqrt{\frac{a^{2} x^{2}}{b^{2}} - \frac{a}{b^{2}}}\right)}}\, dx"," ",0,"Integral(1/(x**3*sqrt(x*(a*x + b*sqrt(a**2*x**2/b**2 - a/b**2)))), x)","F",0
1823,1,42,0,0.924626," ","integrate(1/x/(a*x**2-b)**(1/4),x)","- \frac{\Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{4}, \frac{1}{4} \\ \frac{5}{4} \end{matrix}\middle| {\frac{b e^{2 i \pi}}{a x^{2}}} \right)}}{2 \sqrt[4]{a} \sqrt{x} \Gamma\left(\frac{5}{4}\right)}"," ",0,"-gamma(1/4)*hyper((1/4, 1/4), (5/4,), b*exp_polar(2*I*pi)/(a*x**2))/(2*a**(1/4)*sqrt(x)*gamma(5/4))","C",0
1824,0,0,0,0.000000," ","integrate((1+k**(3/2)*x**3)/((-x**2+1)*(-k**2*x**2+1))**(1/2)/(-1+k**(3/2)*x**3),x)","\int \frac{\left(\sqrt{k} x + 1\right) \left(- \sqrt{k} x + k x^{2} + 1\right)}{\sqrt{\left(x - 1\right) \left(x + 1\right) \left(k x - 1\right) \left(k x + 1\right)} \left(\sqrt{k} x - 1\right) \left(\sqrt{k} x + k x^{2} + 1\right)}\, dx"," ",0,"Integral((sqrt(k)*x + 1)*(-sqrt(k)*x + k*x**2 + 1)/(sqrt((x - 1)*(x + 1)*(k*x - 1)*(k*x + 1))*(sqrt(k)*x - 1)*(sqrt(k)*x + k*x**2 + 1)), x)","F",0
1825,0,0,0,0.000000," ","integrate((2*c*x-d)*(a*x**4+b*x**3)**(1/4)/x,x)","\int \frac{\sqrt[4]{x^{3} \left(a x + b\right)} \left(2 c x - d\right)}{x}\, dx"," ",0,"Integral((x**3*(a*x + b))**(1/4)*(2*c*x - d)/x, x)","F",0
1826,0,0,0,0.000000," ","integrate((x**6-1)/(x**6+1)/(a**3*x**3+x**6+1)**(1/3),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)}{\left(x^{2} + 1\right) \left(x^{4} - x^{2} + 1\right) \sqrt[3]{a^{3} x^{3} + x^{6} + 1}}\, dx"," ",0,"Integral((x - 1)*(x + 1)*(x**2 - x + 1)*(x**2 + x + 1)/((x**2 + 1)*(x**4 - x**2 + 1)*(a**3*x**3 + x**6 + 1)**(1/3)), x)","F",0
1827,0,0,0,0.000000," ","integrate((4*x**6+x**3+2)*(-x**7-x**4+2*x**3+x)**(1/3)/(x**6+x**3-2*x**2-1)/(x**6+x**3-x**2-1),x)","\int \frac{\sqrt[3]{- x \left(x^{6} + x^{3} - 2 x^{2} - 1\right)} \left(4 x^{6} + x^{3} + 2\right)}{\left(x - 1\right) \left(x^{6} + x^{3} - 2 x^{2} - 1\right) \left(x^{5} + x^{4} + x^{3} + 2 x^{2} + x + 1\right)}\, dx"," ",0,"Integral((-x*(x**6 + x**3 - 2*x**2 - 1))**(1/3)*(4*x**6 + x**3 + 2)/((x - 1)*(x**6 + x**3 - 2*x**2 - 1)*(x**5 + x**4 + x**3 + 2*x**2 + x + 1)), x)","F",0
1828,0,0,0,0.000000," ","integrate(x**2/(a*x**2+(a**2*x**4+b)**(1/2))**(1/2),x)","\int \frac{x^{2}}{\sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}\, dx"," ",0,"Integral(x**2/sqrt(a*x**2 + sqrt(a**2*x**4 + b)), x)","F",0
1829,0,0,0,0.000000," ","integrate((1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(x**2+1)**(3/2),x)","\int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{\left(x^{2} + 1\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/(x**2 + 1)**(3/2), x)","F",0
1830,0,0,0,0.000000," ","integrate((1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(x**2+1)**(3/2),x)","\int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{\left(x^{2} + 1\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/(x**2 + 1)**(3/2), x)","F",0
1831,0,0,0,0.000000," ","integrate((1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(x**2+1)**(3/2),x)","\int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{\left(x^{2} + 1\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/(x**2 + 1)**(3/2), x)","F",0
1832,0,0,0,0.000000," ","integrate(1/(-1+x)/(x**2-2*x-3)**(1/3),x)","\int \frac{1}{\sqrt[3]{\left(x - 3\right) \left(x + 1\right)} \left(x - 1\right)}\, dx"," ",0,"Integral(1/(((x - 3)*(x + 1))**(1/3)*(x - 1)), x)","F",0
1833,0,0,0,0.000000," ","integrate(1/(-1+x)/(x**2-2*x-1)**(1/3),x)","\int \frac{1}{\left(x - 1\right) \sqrt[3]{x^{2} - 2 x - 1}}\, dx"," ",0,"Integral(1/((x - 1)*(x**2 - 2*x - 1)**(1/3)), x)","F",0
1834,0,0,0,0.000000," ","integrate(1/(1+x)/(x**2+2*x-1)**(1/3),x)","\int \frac{1}{\left(x + 1\right) \sqrt[3]{x^{2} + 2 x - 1}}\, dx"," ",0,"Integral(1/((x + 1)*(x**2 + 2*x - 1)**(1/3)), x)","F",0
1835,-1,0,0,0.000000," ","integrate((-2*a*b*x**2+(a+b)*x**3)/(-a+x)/(-b+x)/(x**2*(-a+x)*(-b+x))**(1/4)/(-a*b*d+(a+b)*d*x+(1-d)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1836,-1,0,0,0.000000," ","integrate((a**2-2*a*x+x**2)*(a*b**2-2*(2*a-b)*b*x+(3*a-2*b)*x**2)/(x*(-a+x)*(-b+x)**2)**(3/4)/(a**3*d+(-3*a**2*d+b**2)*x+(3*a*d-2*b)*x**2+(1-d)*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1837,0,0,0,0.000000," ","integrate((-1+k**(3/2)*x**3)/((-x**2+1)*(-k**2*x**2+1))**(1/2)/(1+k**(3/2)*x**3),x)","\int \frac{\left(\sqrt{k} x - 1\right) \left(\sqrt{k} x + k x^{2} + 1\right)}{\sqrt{\left(x - 1\right) \left(x + 1\right) \left(k x - 1\right) \left(k x + 1\right)} \left(\sqrt{k} x + 1\right) \left(- \sqrt{k} x + k x^{2} + 1\right)}\, dx"," ",0,"Integral((sqrt(k)*x - 1)*(sqrt(k)*x + k*x**2 + 1)/(sqrt((x - 1)*(x + 1)*(k*x - 1)*(k*x + 1))*(sqrt(k)*x + 1)*(-sqrt(k)*x + k*x**2 + 1)), x)","F",0
1838,0,0,0,0.000000," ","integrate((x**3-x**2-x)**(1/2)/(x**4-1),x)","\int \frac{\sqrt{x \left(x^{2} - x - 1\right)}}{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}\, dx"," ",0,"Integral(sqrt(x*(x**2 - x - 1))/((x - 1)*(x + 1)*(x**2 + 1)), x)","F",0
1839,0,0,0,0.000000," ","integrate((a*x**3+b)*(x**4+x)**(1/2)/(c*x**3-d),x)","\int \frac{\sqrt{x \left(x + 1\right) \left(x^{2} - x + 1\right)} \left(a x^{3} + b\right)}{c x^{3} - d}\, dx"," ",0,"Integral(sqrt(x*(x + 1)*(x**2 - x + 1))*(a*x**3 + b)/(c*x**3 - d), x)","F",0
1840,1,71,0,3.183908," ","integrate((2*x**4-2*x+1)/x/(x**4-1)**(1/4),x)","- \frac{x e^{- \frac{i \pi}{4}} \Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{4}, \frac{1}{4} \\ \frac{5}{4} \end{matrix}\middle| {x^{4}} \right)}}{2 \Gamma\left(\frac{5}{4}\right)} + \frac{2 \left(x^{4} - 1\right)^{\frac{3}{4}}}{3} - \frac{\Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{4}, \frac{1}{4} \\ \frac{5}{4} \end{matrix}\middle| {\frac{e^{2 i \pi}}{x^{4}}} \right)}}{4 x \Gamma\left(\frac{5}{4}\right)}"," ",0,"-x*exp(-I*pi/4)*gamma(1/4)*hyper((1/4, 1/4), (5/4,), x**4)/(2*gamma(5/4)) + 2*(x**4 - 1)**(3/4)/3 - gamma(1/4)*hyper((1/4, 1/4), (5/4,), exp_polar(2*I*pi)/x**4)/(4*x*gamma(5/4))","C",0
1841,0,0,0,0.000000," ","integrate(x**2*(a*x**5-4*b)/(a*x**5+b)**(3/4)/(a*x**5+c*x**4+b),x)","\int \frac{x^{2} \left(a x^{5} - 4 b\right)}{\left(a x^{5} + b\right)^{\frac{3}{4}} \left(a x^{5} + b + c x^{4}\right)}\, dx"," ",0,"Integral(x**2*(a*x**5 - 4*b)/((a*x**5 + b)**(3/4)*(a*x**5 + b + c*x**4)), x)","F",0
1842,0,0,0,0.000000," ","integrate(1/(x**6+2*x**5-x**4-4*x**3-x**2+2*x+1)**(1/6),x)","\int \frac{1}{\sqrt[6]{x^{6} + 2 x^{5} - x^{4} - 4 x^{3} - x^{2} + 2 x + 1}}\, dx"," ",0,"Integral((x**6 + 2*x**5 - x**4 - 4*x**3 - x**2 + 2*x + 1)**(-1/6), x)","F",0
1843,-1,0,0,0.000000," ","integrate(x**2*(a*x**6-2*b)/(a*x**6+b)**(3/4)/(a*x**6+c*x**4+b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1844,-1,0,0,0.000000," ","integrate((x**3+4)*(x**8+x**6+2*x**3+1)/x**4/(x**3+1)**(1/4)/(x**8-x**6-2*x**3-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1845,0,0,0,0.000000," ","integrate((2*x**8-x**4+2)/(x**4+1)**(1/4)/(x**8+x**4-2),x)","\int \frac{2 x^{8} - x^{4} + 2}{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \sqrt[4]{x^{4} + 1} \left(x^{4} + 2\right)}\, dx"," ",0,"Integral((2*x**8 - x**4 + 2)/((x - 1)*(x + 1)*(x**2 + 1)*(x**4 + 1)**(1/4)*(x**4 + 2)), x)","F",0
1846,0,0,0,0.000000," ","integrate((b+(a*x**2+b**2)**(1/2))**(1/2)/(a*x**2+b**2)**2,x)","\int \frac{\sqrt{b + \sqrt{a x^{2} + b^{2}}}}{\left(a x^{2} + b^{2}\right)^{2}}\, dx"," ",0,"Integral(sqrt(b + sqrt(a*x**2 + b**2))/(a*x**2 + b**2)**2, x)","F",0
1847,0,0,0,0.000000," ","integrate((a*x**3+b)*(x**4-x)**(1/2)/(c*x**3-d),x)","\int \frac{\sqrt{x \left(x - 1\right) \left(x^{2} + x + 1\right)} \left(a x^{3} + b\right)}{c x^{3} - d}\, dx"," ",0,"Integral(sqrt(x*(x - 1)*(x**2 + x + 1))*(a*x**3 + b)/(c*x**3 - d), x)","F",0
1848,0,0,0,0.000000," ","integrate((a*x**3+b)/x**3/(a*x**3-b)/(a*x**4+b*x)**(1/4),x)","\int \frac{a x^{3} + b}{x^{3} \sqrt[4]{x \left(a x^{3} + b\right)} \left(a x^{3} - b\right)}\, dx"," ",0,"Integral((a*x**3 + b)/(x**3*(x*(a*x**3 + b))**(1/4)*(a*x**3 - b)), x)","F",0
1849,0,0,0,0.000000," ","integrate((2*x**6+1)*(-x**7+x**3+x)**(1/3)/(x**6-1)**2,x)","\int \frac{\sqrt[3]{- x \left(x^{6} - x^{2} - 1\right)} \left(2 x^{6} + 1\right)}{\left(x - 1\right)^{2} \left(x + 1\right)^{2} \left(x^{2} - x + 1\right)^{2} \left(x^{2} + x + 1\right)^{2}}\, dx"," ",0,"Integral((-x*(x**6 - x**2 - 1))**(1/3)*(2*x**6 + 1)/((x - 1)**2*(x + 1)**2*(x**2 - x + 1)**2*(x**2 + x + 1)**2), x)","F",0
1850,-1,0,0,0.000000," ","integrate((-(2*a-b)*b**2+(4*a-b)*b*x-(2*a+b)*x**2+x**3)/((-a+x)*(-b+x)**2)**(3/4)/(a+b**2*d-(2*b*d+1)*x+d*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1851,0,0,0,0.000000," ","integrate((x**4+2)/(x**4+x**2)**(1/4)/(2*x**8-x**4-1),x)","\int \frac{x^{4} + 2}{\sqrt[4]{x^{2} \left(x^{2} + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \left(2 x^{4} + 1\right)}\, dx"," ",0,"Integral((x**4 + 2)/((x**2*(x**2 + 1))**(1/4)*(x - 1)*(x + 1)*(x**2 + 1)*(2*x**4 + 1)), x)","F",0
1852,0,0,0,0.000000," ","integrate((x**4+2)/(x**4+x**2)**(1/4)/(2*x**8-x**4-1),x)","\int \frac{x^{4} + 2}{\sqrt[4]{x^{2} \left(x^{2} + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \left(2 x^{4} + 1\right)}\, dx"," ",0,"Integral((x**4 + 2)/((x**2*(x**2 + 1))**(1/4)*(x - 1)*(x + 1)*(x**2 + 1)*(2*x**4 + 1)), x)","F",0
1853,0,0,0,0.000000," ","integrate((x+(1+x)**(1/2))**(1/2)/x**2,x)","\int \frac{\sqrt{x + \sqrt{x + 1}}}{x^{2}}\, dx"," ",0,"Integral(sqrt(x + sqrt(x + 1))/x**2, x)","F",0
1854,0,0,0,0.000000," ","integrate((-1+x)*(x+(x**2+1)**(1/2))**(1/2)/(1+x),x)","\int \frac{\left(x - 1\right) \sqrt{x + \sqrt{x^{2} + 1}}}{x + 1}\, dx"," ",0,"Integral((x - 1)*sqrt(x + sqrt(x**2 + 1))/(x + 1), x)","F",0
1855,0,0,0,0.000000," ","integrate((1+x)*(x+(x**2+1)**(1/2))**(1/2)/(-1+x),x)","\int \frac{\left(x + 1\right) \sqrt{x + \sqrt{x^{2} + 1}}}{x - 1}\, dx"," ",0,"Integral((x + 1)*sqrt(x + sqrt(x**2 + 1))/(x - 1), x)","F",0
1856,0,0,0,0.000000," ","integrate((x**2+2*x+6)/(1+x)/(x**2+x+2)**(1/3)/(2*x**2-x+2),x)","\int \frac{x^{2} + 2 x + 6}{\left(x + 1\right) \sqrt[3]{x^{2} + x + 2} \left(2 x^{2} - x + 2\right)}\, dx"," ",0,"Integral((x**2 + 2*x + 6)/((x + 1)*(x**2 + x + 2)**(1/3)*(2*x**2 - x + 2)), x)","F",0
1857,1,42,0,1.067933," ","integrate(1/x/(a*x**3-b)**(3/4),x)","- \frac{\Gamma\left(\frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{3}{4} \\ \frac{7}{4} \end{matrix}\middle| {\frac{b e^{2 i \pi}}{a x^{3}}} \right)}}{3 a^{\frac{3}{4}} x^{\frac{9}{4}} \Gamma\left(\frac{7}{4}\right)}"," ",0,"-gamma(3/4)*hyper((3/4, 3/4), (7/4,), b*exp_polar(2*I*pi)/(a*x**3))/(3*a**(3/4)*x**(9/4)*gamma(7/4))","C",0
1858,1,42,0,1.020288," ","integrate(1/x/(a*x**3-b)**(1/4),x)","- \frac{\Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{4}, \frac{1}{4} \\ \frac{5}{4} \end{matrix}\middle| {\frac{b e^{2 i \pi}}{a x^{3}}} \right)}}{3 \sqrt[4]{a} x^{\frac{3}{4}} \Gamma\left(\frac{5}{4}\right)}"," ",0,"-gamma(1/4)*hyper((1/4, 1/4), (5/4,), b*exp_polar(2*I*pi)/(a*x**3))/(3*a**(1/4)*x**(3/4)*gamma(5/4))","C",0
1859,-1,0,0,0.000000," ","integrate((a*x**2-3*b)*(-a*x**2+x**3+b)/x**3/(a*x**2+x**3-b)/(a*x**3-b*x)**(1/4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1860,1,41,0,1.165803," ","integrate(1/x/(a*x**4-b)**(3/4),x)","- \frac{\Gamma\left(\frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{3}{4} \\ \frac{7}{4} \end{matrix}\middle| {\frac{b e^{2 i \pi}}{a x^{4}}} \right)}}{4 a^{\frac{3}{4}} x^{3} \Gamma\left(\frac{7}{4}\right)}"," ",0,"-gamma(3/4)*hyper((3/4, 3/4), (7/4,), b*exp_polar(2*I*pi)/(a*x**4))/(4*a**(3/4)*x**3*gamma(7/4))","C",0
1861,1,39,0,1.021762," ","integrate(1/x/(a*x**4-b)**(1/4),x)","- \frac{\Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{4}, \frac{1}{4} \\ \frac{5}{4} \end{matrix}\middle| {\frac{b e^{2 i \pi}}{a x^{4}}} \right)}}{4 \sqrt[4]{a} x \Gamma\left(\frac{5}{4}\right)}"," ",0,"-gamma(1/4)*hyper((1/4, 1/4), (5/4,), b*exp_polar(2*I*pi)/(a*x**4))/(4*a**(1/4)*x*gamma(5/4))","C",0
1862,-1,0,0,0.000000," ","integrate((-x**5+1)/(b*x+a)**(1/2)/(x**5+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1863,1,42,0,1.047497," ","integrate(1/x/(a*x**5-b)**(3/4),x)","- \frac{\Gamma\left(\frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{3}{4} \\ \frac{7}{4} \end{matrix}\middle| {\frac{b e^{2 i \pi}}{a x^{5}}} \right)}}{5 a^{\frac{3}{4}} x^{\frac{15}{4}} \Gamma\left(\frac{7}{4}\right)}"," ",0,"-gamma(3/4)*hyper((3/4, 3/4), (7/4,), b*exp_polar(2*I*pi)/(a*x**5))/(5*a**(3/4)*x**(15/4)*gamma(7/4))","C",0
1864,1,42,0,1.048481," ","integrate(1/x/(a*x**6-b)**(3/4),x)","- \frac{\Gamma\left(\frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{3}{4} \\ \frac{7}{4} \end{matrix}\middle| {\frac{b e^{2 i \pi}}{a x^{6}}} \right)}}{6 a^{\frac{3}{4}} x^{\frac{9}{2}} \Gamma\left(\frac{7}{4}\right)}"," ",0,"-gamma(3/4)*hyper((3/4, 3/4), (7/4,), b*exp_polar(2*I*pi)/(a*x**6))/(6*a**(3/4)*x**(9/2)*gamma(7/4))","C",0
1865,-1,0,0,0.000000," ","integrate((x**4+1)*(x**4+x**2-1)**(3/2)/(x**4-1)/(x**8-x**6-x**4+x**2+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1866,-1,0,0,0.000000," ","integrate((x**6-1)*(x**6+x**3+1)**(2/3)/(x**12+x**6+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1867,0,0,0,0.000000," ","integrate((x**3-1)**3*(x**3+1)*(2*x**12+3*x**6+2)**(1/2)/x**7/(x**6+1),x)","\int \frac{\left(x - 1\right)^{3} \left(x + 1\right) \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)^{3} \sqrt{2 x^{12} + 3 x^{6} + 2}}{x^{7} \left(x^{2} + 1\right) \left(x^{4} - x^{2} + 1\right)}\, dx"," ",0,"Integral((x - 1)**3*(x + 1)*(x**2 - x + 1)*(x**2 + x + 1)**3*sqrt(2*x**12 + 3*x**6 + 2)/(x**7*(x**2 + 1)*(x**4 - x**2 + 1)), x)","F",0
1868,0,0,0,0.000000," ","integrate((a*x-(a**2*x**2+b)**(1/2))**(1/2)/(a**2*x**2+(a**2*x**2+b)**(1/2)),x)","\int \frac{\sqrt{a x - \sqrt{a^{2} x^{2} + b}}}{a^{2} x^{2} + \sqrt{a^{2} x^{2} + b}}\, dx"," ",0,"Integral(sqrt(a*x - sqrt(a**2*x**2 + b))/(a**2*x**2 + sqrt(a**2*x**2 + b)), x)","F",0
1869,0,0,0,0.000000," ","integrate((c*x+d)/(a*x+(a**2*x**2+b**2)**(1/2))**(1/2),x)","\int \frac{c x + d}{\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}}\, dx"," ",0,"Integral((c*x + d)/sqrt(a*x + sqrt(a**2*x**2 + b**2)), x)","F",0
1870,1,445,0,1.720709," ","integrate(1/(1+(1+(1+x)**(1/2))**(1/2))**(1/2),x)","- \frac{336 \left(x + 1\right)^{\frac{13}{4}} \sqrt[4]{\sqrt{x + 1} + 1} \sin{\left(\frac{5 \operatorname{atan}{\left(\sqrt[4]{x + 1} \right)}}{2} \right)} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{105 \pi \left(x + 1\right)^{\frac{5}{2}} + 105 \pi \left(x + 1\right)^{2}} - \frac{112 \left(x + 1\right)^{\frac{11}{4}} \sqrt[4]{\sqrt{x + 1} + 1} \sin{\left(\frac{5 \operatorname{atan}{\left(\sqrt[4]{x + 1} \right)}}{2} \right)} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{105 \pi \left(x + 1\right)^{\frac{5}{2}} + 105 \pi \left(x + 1\right)^{2}} + \frac{224 \left(x + 1\right)^{\frac{9}{4}} \sqrt[4]{\sqrt{x + 1} + 1} \sin{\left(\frac{5 \operatorname{atan}{\left(\sqrt[4]{x + 1} \right)}}{2} \right)} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{105 \pi \left(x + 1\right)^{\frac{5}{2}} + 105 \pi \left(x + 1\right)^{2}} - \frac{152 \left(x + 1\right)^{\frac{5}{2}} \left(\sqrt{x + 1} + 1\right)^{\frac{3}{4}} \cos{\left(\frac{7 \operatorname{atan}{\left(\sqrt[4]{x + 1} \right)}}{2} \right)} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{105 \pi \left(x + 1\right)^{\frac{5}{2}} + 105 \pi \left(x + 1\right)^{2}} - \frac{64 \left(x + 1\right)^{\frac{5}{2}} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{105 \pi \left(x + 1\right)^{\frac{5}{2}} + 105 \pi \left(x + 1\right)^{2}} - \frac{216 \left(x + 1\right)^{3} \left(\sqrt{x + 1} + 1\right)^{\frac{3}{4}} \cos{\left(\frac{7 \operatorname{atan}{\left(\sqrt[4]{x + 1} \right)}}{2} \right)} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{105 \pi \left(x + 1\right)^{\frac{5}{2}} + 105 \pi \left(x + 1\right)^{2}} + \frac{64 \left(x + 1\right)^{2} \left(\sqrt{x + 1} + 1\right)^{\frac{3}{4}} \cos{\left(\frac{7 \operatorname{atan}{\left(\sqrt[4]{x + 1} \right)}}{2} \right)} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{105 \pi \left(x + 1\right)^{\frac{5}{2}} + 105 \pi \left(x + 1\right)^{2}} - \frac{64 \left(x + 1\right)^{2} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right)}{105 \pi \left(x + 1\right)^{\frac{5}{2}} + 105 \pi \left(x + 1\right)^{2}}"," ",0,"-336*(x + 1)**(13/4)*(sqrt(x + 1) + 1)**(1/4)*sin(5*atan((x + 1)**(1/4))/2)*gamma(1/4)*gamma(3/4)/(105*pi*(x + 1)**(5/2) + 105*pi*(x + 1)**2) - 112*(x + 1)**(11/4)*(sqrt(x + 1) + 1)**(1/4)*sin(5*atan((x + 1)**(1/4))/2)*gamma(1/4)*gamma(3/4)/(105*pi*(x + 1)**(5/2) + 105*pi*(x + 1)**2) + 224*(x + 1)**(9/4)*(sqrt(x + 1) + 1)**(1/4)*sin(5*atan((x + 1)**(1/4))/2)*gamma(1/4)*gamma(3/4)/(105*pi*(x + 1)**(5/2) + 105*pi*(x + 1)**2) - 152*(x + 1)**(5/2)*(sqrt(x + 1) + 1)**(3/4)*cos(7*atan((x + 1)**(1/4))/2)*gamma(1/4)*gamma(3/4)/(105*pi*(x + 1)**(5/2) + 105*pi*(x + 1)**2) - 64*(x + 1)**(5/2)*gamma(1/4)*gamma(3/4)/(105*pi*(x + 1)**(5/2) + 105*pi*(x + 1)**2) - 216*(x + 1)**3*(sqrt(x + 1) + 1)**(3/4)*cos(7*atan((x + 1)**(1/4))/2)*gamma(1/4)*gamma(3/4)/(105*pi*(x + 1)**(5/2) + 105*pi*(x + 1)**2) + 64*(x + 1)**2*(sqrt(x + 1) + 1)**(3/4)*cos(7*atan((x + 1)**(1/4))/2)*gamma(1/4)*gamma(3/4)/(105*pi*(x + 1)**(5/2) + 105*pi*(x + 1)**2) - 64*(x + 1)**2*gamma(1/4)*gamma(3/4)/(105*pi*(x + 1)**(5/2) + 105*pi*(x + 1)**2)","B",0
1871,0,0,0,0.000000," ","integrate((a*x**2-b)*(x**3+x)**(1/3)/x**2,x)","\int \frac{\sqrt[3]{x \left(x^{2} + 1\right)} \left(a x^{2} - b\right)}{x^{2}}\, dx"," ",0,"Integral((x*(x**2 + 1))**(1/3)*(a*x**2 - b)/x**2, x)","F",0
1872,0,0,0,0.000000," ","integrate(1/x**3/(a*x**3-b*x**2)**(1/3)/(c*x**3+d),x)","\int \frac{1}{x^{3} \sqrt[3]{x^{2} \left(a x - b\right)} \left(c x^{3} + d\right)}\, dx"," ",0,"Integral(1/(x**3*(x**2*(a*x - b))**(1/3)*(c*x**3 + d)), x)","F",0
1873,0,0,0,0.000000," ","integrate((x**4-1)/(x**3-x**2-x)**(1/2)/(x**4+1),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}{\sqrt{x \left(x^{2} - x - 1\right)} \left(x^{4} + 1\right)}\, dx"," ",0,"Integral((x - 1)*(x + 1)*(x**2 + 1)/(sqrt(x*(x**2 - x - 1))*(x**4 + 1)), x)","F",0
1874,0,0,0,0.000000," ","integrate((x**6+9*x**5+16*x**4-27*x**3-36*x**2-11*x-1)**(1/2),x)","\int \sqrt{x^{6} + 9 x^{5} + 16 x^{4} - 27 x^{3} - 36 x^{2} - 11 x - 1}\, dx"," ",0,"Integral(sqrt(x**6 + 9*x**5 + 16*x**4 - 27*x**3 - 36*x**2 - 11*x - 1), x)","F",0
1875,0,0,0,0.000000," ","integrate((2*p*x**3-q)*(a*p*x**3+a*q+b*x)*(p**2*x**6+2*p*q*x**3-2*p*q*x**2+q**2)**(1/2)/x**4,x)","\int \frac{\left(2 p x^{3} - q\right) \left(a p x^{3} + a q + b x\right) \sqrt{p^{2} x^{6} + 2 p q x^{3} - 2 p q x^{2} + q^{2}}}{x^{4}}\, dx"," ",0,"Integral((2*p*x**3 - q)*(a*p*x**3 + a*q + b*x)*sqrt(p**2*x**6 + 2*p*q*x**3 - 2*p*q*x**2 + q**2)/x**4, x)","F",0
1876,0,0,0,0.000000," ","integrate((2*x**8-x**4-2)/(x**4-1)**(1/4)/(x**8-x**4-2),x)","\int \frac{2 x^{8} - x^{4} - 2}{\sqrt[4]{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)} \left(x^{4} - 2\right) \left(x^{4} + 1\right)}\, dx"," ",0,"Integral((2*x**8 - x**4 - 2)/(((x - 1)*(x + 1)*(x**2 + 1))**(1/4)*(x**4 - 2)*(x**4 + 1)), x)","F",0
1877,0,0,0,0.000000," ","integrate((x**4-1)*(1+(1+x)**(1/2))**(1/2)/(x**4+1),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \sqrt{\sqrt{x + 1} + 1}}{x^{4} + 1}\, dx"," ",0,"Integral((x - 1)*(x + 1)*(x**2 + 1)*sqrt(sqrt(x + 1) + 1)/(x**4 + 1), x)","F",0
1878,0,0,0,0.000000," ","integrate((x**4-1)*(1+(1+x)**(1/2))**(1/2)/(x**4+1),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \sqrt{\sqrt{x + 1} + 1}}{x^{4} + 1}\, dx"," ",0,"Integral((x - 1)*(x + 1)*(x**2 + 1)*sqrt(sqrt(x + 1) + 1)/(x**4 + 1), x)","F",0
1879,0,0,0,0.000000," ","integrate((a*x**2+b)*(a*x**3+b*x)**(1/2)/x**2/(a*x**2-b),x)","\int \frac{\sqrt{x \left(a x^{2} + b\right)} \left(a x^{2} + b\right)}{x^{2} \left(a x^{2} - b\right)}\, dx"," ",0,"Integral(sqrt(x*(a*x**2 + b))*(a*x**2 + b)/(x**2*(a*x**2 - b)), x)","F",0
1880,-1,0,0,0.000000," ","integrate((-2*a*b+(3*a-b)*x)*(-a**3+3*a**2*x-3*a*x**2+x**3)/x/(-b+x)/(x**2*(-a+x)*(-b+x))**(1/4)/(a**3-3*a**2*x+(-b*d+3*a)*x**2+(-1+d)*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1881,0,0,0,0.000000," ","integrate((a*x**2+2*b)/(a*x**2+b)**(1/4)/(2*x**4+1881*a*x**2+1881*b),x)","\int \frac{a x^{2} + 2 b}{\sqrt[4]{a x^{2} + b} \left(1881 a x^{2} + 1881 b + 2 x^{4}\right)}\, dx"," ",0,"Integral((a*x**2 + 2*b)/((a*x**2 + b)**(1/4)*(1881*a*x**2 + 1881*b + 2*x**4)), x)","F",0
1882,0,0,0,0.000000," ","integrate((1+x)**(1/2)*(x**2-1)/(x**2+1)/(1+(1+x)**(1/2))**(1/2),x)","\int \frac{\left(x - 1\right) \left(x + 1\right)^{\frac{3}{2}}}{\left(x^{2} + 1\right) \sqrt{\sqrt{x + 1} + 1}}\, dx"," ",0,"Integral((x - 1)*(x + 1)**(3/2)/((x**2 + 1)*sqrt(sqrt(x + 1) + 1)), x)","F",0
1883,0,0,0,0.000000," ","integrate((1+x)**(1/2)*(x**2-1)/(x**2+1)/(1+(1+x)**(1/2))**(1/2),x)","\int \frac{\left(x - 1\right) \left(x + 1\right)^{\frac{3}{2}}}{\left(x^{2} + 1\right) \sqrt{\sqrt{x + 1} + 1}}\, dx"," ",0,"Integral((x - 1)*(x + 1)**(3/2)/((x**2 + 1)*sqrt(sqrt(x + 1) + 1)), x)","F",0
1884,-1,0,0,0.000000," ","integrate((x**4-1)*(1+(1+x)**(1/2))**(1/2)/(1+x)**(1/2)/(x**4+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1885,-1,0,0,0.000000," ","integrate((x**4-1)*(1+(1+x)**(1/2))**(1/2)/(1+x)**(1/2)/(x**4+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1886,0,0,0,0.000000," ","integrate((a*x**2+1)/(a*x**2-1)/(x+(x**2+1)**(1/2))**(1/2),x)","\int \frac{a x^{2} + 1}{\sqrt{x + \sqrt{x^{2} + 1}} \left(a x^{2} - 1\right)}\, dx"," ",0,"Integral((a*x**2 + 1)/(sqrt(x + sqrt(x**2 + 1))*(a*x**2 - 1)), x)","F",0
1887,0,0,0,0.000000," ","integrate(x*(x**2+x)**(1/2)/(x**2+x*(x**2+x)**(1/2))**(1/2),x)","\int \frac{x \sqrt{x \left(x + 1\right)}}{\sqrt{x \left(x + \sqrt{x^{2} + x}\right)}}\, dx"," ",0,"Integral(x*sqrt(x*(x + 1))/sqrt(x*(x + sqrt(x**2 + x))), x)","F",0
1888,0,0,0,0.000000," ","integrate((1+x)**(1/2)/(1+(x+(1+x)**(1/2))**(1/2)),x)","\int \frac{\sqrt{x + 1}}{\sqrt{x + \sqrt{x + 1}} + 1}\, dx"," ",0,"Integral(sqrt(x + 1)/(sqrt(x + sqrt(x + 1)) + 1), x)","F",0
1889,0,0,0,0.000000," ","integrate((1+x)/(-1+x)/(1+2*x)/(3*x**2-1)**(1/3),x)","\int \frac{x + 1}{\left(x - 1\right) \left(2 x + 1\right) \sqrt[3]{3 x^{2} - 1}}\, dx"," ",0,"Integral((x + 1)/((x - 1)*(2*x + 1)*(3*x**2 - 1)**(1/3)), x)","F",0
1890,0,0,0,0.000000," ","integrate((a*x**2-b)/x**2/(x**3-x)**(1/3),x)","\int \frac{a x^{2} - b}{x^{2} \sqrt[3]{x \left(x - 1\right) \left(x + 1\right)}}\, dx"," ",0,"Integral((a*x**2 - b)/(x**2*(x*(x - 1)*(x + 1))**(1/3)), x)","F",0
1891,0,0,0,0.000000," ","integrate((x**4+1)/(x**3-x**2-x)**(1/2)/(x**4-1),x)","\int \frac{x^{4} + 1}{\sqrt{x \left(x^{2} - x - 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x**4 + 1)/(sqrt(x*(x**2 - x - 1))*(x - 1)*(x + 1)*(x**2 + 1)), x)","F",0
1892,0,0,0,0.000000," ","integrate((x**3-1)*(x**6+1)**(1/3)/x**2/(x**3+1),x)","\int \frac{\sqrt[3]{\left(x^{2} + 1\right) \left(x^{4} - x^{2} + 1\right)} \left(x - 1\right) \left(x^{2} + x + 1\right)}{x^{2} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(((x**2 + 1)*(x**4 - x**2 + 1))**(1/3)*(x - 1)*(x**2 + x + 1)/(x**2*(x + 1)*(x**2 - x + 1)), x)","F",0
1893,0,0,0,0.000000," ","integrate((x**6-2)*(x**6+2)**(1/3)/x**2/(x**6+2*x**3+2),x)","\int \frac{\left(x^{6} - 2\right) \sqrt[3]{x^{6} + 2}}{x^{2} \left(x^{6} + 2 x^{3} + 2\right)}\, dx"," ",0,"Integral((x**6 - 2)*(x**6 + 2)**(1/3)/(x**2*(x**6 + 2*x**3 + 2)), x)","F",0
1894,-1,0,0,0.000000," ","integrate((x**3+1)**(2/3)*(2*x**6-2*x**3-1)/x**6/(2*x**6+x**3-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1895,-1,0,0,0.000000," ","integrate((x**3+1)*(-x**4+x)**(1/2)/(3*x**6+4*x**3+2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1896,-1,0,0,0.000000," ","integrate((a*x**4-2)/(a*x**4+b)**(1/4)/(2*x**8+a*x**4-b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1897,0,0,0,0.000000," ","integrate((-1+x)/(1+x)/(x+(x**2+1)**(1/2))**(1/2),x)","\int \frac{x - 1}{\left(x + 1\right) \sqrt{x + \sqrt{x^{2} + 1}}}\, dx"," ",0,"Integral((x - 1)/((x + 1)*sqrt(x + sqrt(x**2 + 1))), x)","F",0
1898,0,0,0,0.000000," ","integrate((1+x)/(-1+x)/(x+(x**2+1)**(1/2))**(1/2),x)","\int \frac{x + 1}{\left(x - 1\right) \sqrt{x + \sqrt{x^{2} + 1}}}\, dx"," ",0,"Integral((x + 1)/((x - 1)*sqrt(x + sqrt(x**2 + 1))), x)","F",0
1899,0,0,0,0.000000," ","integrate((x**2-x)**(1/2)/(x**2-x*(x**2-x)**(1/2))**(1/2),x)","\int \frac{\sqrt{x \left(x - 1\right)}}{\sqrt{x \left(x - \sqrt{x^{2} - x}\right)}}\, dx"," ",0,"Integral(sqrt(x*(x - 1))/sqrt(x*(x - sqrt(x**2 - x))), x)","F",0
1900,0,0,0,0.000000," ","integrate((x**2+2*x+6)/(2+x)/(x**2+2)/(x**2+x+2)**(1/3),x)","\int \frac{x^{2} + 2 x + 6}{\left(x + 2\right) \left(x^{2} + 2\right) \sqrt[3]{x^{2} + x + 2}}\, dx"," ",0,"Integral((x**2 + 2*x + 6)/((x + 2)*(x**2 + 2)*(x**2 + x + 2)**(1/3)), x)","F",0
1901,0,0,0,0.000000," ","integrate((-1+x)/x/(x**3+2*x**2+2*x+1)**(1/3),x)","\int \frac{x - 1}{x \sqrt[3]{\left(x + 1\right) \left(x^{2} + x + 1\right)}}\, dx"," ",0,"Integral((x - 1)/(x*((x + 1)*(x**2 + x + 1))**(1/3)), x)","F",0
1902,0,0,0,0.000000," ","integrate((p*x**3-2*q)*(a*p*x**3+b*x**2+a*q)*(p**2*x**6-2*p*q*x**4+2*p*q*x**3+q**2)**(1/2)/x**7,x)","\int \frac{\left(p x^{3} - 2 q\right) \left(a p x^{3} + a q + b x^{2}\right) \sqrt{p^{2} x^{6} - 2 p q x^{4} + 2 p q x^{3} + q^{2}}}{x^{7}}\, dx"," ",0,"Integral((p*x**3 - 2*q)*(a*p*x**3 + a*q + b*x**2)*sqrt(p**2*x**6 - 2*p*q*x**4 + 2*p*q*x**3 + q**2)/x**7, x)","F",0
1903,0,0,0,0.000000," ","integrate(x**2/(x**2+1)/(1024*x**10-16640*x**9+112000*x**8-401440*x**7+820340*x**6-954733*x**5+615255*x**4-225810*x**3+47250*x**2-5265*x+243)**(1/10),x)","\int \frac{x^{2}}{\sqrt[10]{\left(x - 3\right)^{5} \left(4 x - 1\right)^{5}} \left(x^{2} + 1\right)}\, dx"," ",0,"Integral(x**2/(((x - 3)**5*(4*x - 1)**5)**(1/10)*(x**2 + 1)), x)","F",0
1904,0,0,0,0.000000," ","integrate(1/x/(a**2*x**2-b*x)**(1/2)/(a*x**2+x*(a**2*x**2-b*x)**(1/2))**(3/2),x)","\int \frac{1}{x \left(x \left(a x + \sqrt{a^{2} x^{2} - b x}\right)\right)^{\frac{3}{2}} \sqrt{x \left(a^{2} x - b\right)}}\, dx"," ",0,"Integral(1/(x*(x*(a*x + sqrt(a**2*x**2 - b*x)))**(3/2)*sqrt(x*(a**2*x - b))), x)","F",0
1905,0,0,0,0.000000," ","integrate((x**2+(x**4+1)**(1/2))**(1/2)/(x**2-1)/(x**4+1)**(1/2),x)","\int \frac{\sqrt{x^{2} + \sqrt{x^{4} + 1}}}{\left(x - 1\right) \left(x + 1\right) \sqrt{x^{4} + 1}}\, dx"," ",0,"Integral(sqrt(x**2 + sqrt(x**4 + 1))/((x - 1)*(x + 1)*sqrt(x**4 + 1)), x)","F",0
1906,0,0,0,0.000000," ","integrate(1/(1+2*x)/(4*x**2+4*x-1)**(1/3),x)","\int \frac{1}{\left(2 x + 1\right) \sqrt[3]{4 x^{2} + 4 x - 1}}\, dx"," ",0,"Integral(1/((2*x + 1)*(4*x**2 + 4*x - 1)**(1/3)), x)","F",0
1907,0,0,0,0.000000," ","integrate(1/x**3/(a*x**3-b)/(a**3*x**3+b**2*x**2)**(1/3),x)","\int \frac{1}{x^{3} \sqrt[3]{x^{2} \left(a^{3} x + b^{2}\right)} \left(a x^{3} - b\right)}\, dx"," ",0,"Integral(1/(x**3*(x**2*(a**3*x + b**2))**(1/3)*(a*x**3 - b)), x)","F",0
1908,0,0,0,0.000000," ","integrate(1/x**3/(a*x**3-b)/(a**3*x**3+b**2*x**2)**(1/3),x)","\int \frac{1}{x^{3} \sqrt[3]{x^{2} \left(a^{3} x + b^{2}\right)} \left(a x^{3} - b\right)}\, dx"," ",0,"Integral(1/(x**3*(x**2*(a**3*x + b**2))**(1/3)*(a*x**3 - b)), x)","F",0
1909,-1,0,0,0.000000," ","integrate(x**3*(-b+x)*(-2*a*b+(3*a-b)*x)/(-a+x)/(x**2*(-a+x)*(-b+x))**(3/4)/(-a**3*d+3*a**2*d*x+(-3*a*d+b)*x**2+(-1+d)*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1910,0,0,0,0.000000," ","integrate(x**2/(x**3-x**2-x)**(1/2)/(x**4-1),x)","\int \frac{x^{2}}{\sqrt{x \left(x^{2} - x - 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}\, dx"," ",0,"Integral(x**2/(sqrt(x*(x**2 - x - 1))*(x - 1)*(x + 1)*(x**2 + 1)), x)","F",0
1911,0,0,0,0.000000," ","integrate((x**2-1)*(x**4+x**2+1)**(1/2)/(x**2+1)/(x**4+x**3+x**2+x+1),x)","\int \frac{\sqrt{\left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)} \left(x - 1\right) \left(x + 1\right)}{\left(x^{2} + 1\right) \left(x^{4} + x^{3} + x^{2} + x + 1\right)}\, dx"," ",0,"Integral(sqrt((x**2 - x + 1)*(x**2 + x + 1))*(x - 1)*(x + 1)/((x**2 + 1)*(x**4 + x**3 + x**2 + x + 1)), x)","F",0
1912,0,0,0,0.000000," ","integrate(x**6/(a*x**4-b)/(a*x**4+b)**(3/4),x)","\int \frac{x^{6}}{\left(a x^{4} - b\right) \left(a x^{4} + b\right)^{\frac{3}{4}}}\, dx"," ",0,"Integral(x**6/((a*x**4 - b)*(a*x**4 + b)**(3/4)), x)","F",0
1913,0,0,0,0.000000," ","integrate((a*x**3-b)/x**3/(a*x**3+b)/(a*x**4-b*x)**(1/4),x)","\int \frac{a x^{3} - b}{x^{3} \sqrt[4]{x \left(a x^{3} - b\right)} \left(a x^{3} + b\right)}\, dx"," ",0,"Integral((a*x**3 - b)/(x**3*(x*(a*x**3 - b))**(1/4)*(a*x**3 + b)), x)","F",0
1914,0,0,0,0.000000," ","integrate((a*x**4-b)/(a*x**4+b)**(1/4)/(3*a*x**4-b),x)","\int \frac{a x^{4} - b}{\sqrt[4]{a x^{4} + b} \left(3 a x^{4} - b\right)}\, dx"," ",0,"Integral((a*x**4 - b)/((a*x**4 + b)**(1/4)*(3*a*x**4 - b)), x)","F",0
1915,0,0,0,0.000000," ","integrate((a*x**2-2*b)/(a*x**2-b)**(1/4)/(c*x**4+a*x**2-b),x)","\int \frac{a x^{2} - 2 b}{\sqrt[4]{a x^{2} - b} \left(a x^{2} - b + c x^{4}\right)}\, dx"," ",0,"Integral((a*x**2 - 2*b)/((a*x**2 - b)**(1/4)*(a*x**2 - b + c*x**4)), x)","F",0
1916,0,0,0,0.000000," ","integrate((p*x**2-q)*(p**2*x**4+q**2)**(1/2)/x**2/(a*p*x**2+a*q+b*x),x)","\int \frac{\left(p x^{2} - q\right) \sqrt{p^{2} x^{4} + q^{2}}}{x^{2} \left(a p x^{2} + a q + b x\right)}\, dx"," ",0,"Integral((p*x**2 - q)*sqrt(p**2*x**4 + q**2)/(x**2*(a*p*x**2 + a*q + b*x)), x)","F",0
1917,0,0,0,0.000000," ","integrate((x**5+1)**(1/3)*(2*x**5-3)/x**2/(2*x**5-x**3+2),x)","\int \frac{\sqrt[3]{\left(x + 1\right) \left(x^{4} - x^{3} + x^{2} - x + 1\right)} \left(2 x^{5} - 3\right)}{x^{2} \left(2 x^{5} - x^{3} + 2\right)}\, dx"," ",0,"Integral(((x + 1)*(x**4 - x**3 + x**2 - x + 1))**(1/3)*(2*x**5 - 3)/(x**2*(2*x**5 - x**3 + 2)), x)","F",0
1918,0,0,0,0.000000," ","integrate(x**2*(a*x**5+4*b)/(a*x**5-b)**(3/4)/(a*x**5+c*x**4-b),x)","\int \frac{x^{2} \left(a x^{5} + 4 b\right)}{\left(a x^{5} - b\right)^{\frac{3}{4}} \left(a x^{5} - b + c x^{4}\right)}\, dx"," ",0,"Integral(x**2*(a*x**5 + 4*b)/((a*x**5 - b)**(3/4)*(a*x**5 - b + c*x**4)), x)","F",0
1919,-1,0,0,0.000000," ","integrate((x**6-1)*(x**6+1)**(2/3)/x**3/(2*x**6-x**3+2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1920,-1,0,0,0.000000," ","integrate(x**2*(a*x**6+2*b)/(a*x**6-b)**(3/4)/(a*x**6+c*x**4-b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1921,0,0,0,0.000000," ","integrate(x**2*(x**4+1)**(1/2)*(x**2+(x**4+1)**(1/2))**(1/2),x)","\int x^{2} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{x^{4} + 1}\, dx"," ",0,"Integral(x**2*sqrt(x**2 + sqrt(x**4 + 1))*sqrt(x**4 + 1), x)","F",0
1922,1,230,0,2.272705," ","integrate((1+(1+(1+x)**(1/2))**(1/2))**(1/2),x)","- \frac{\sqrt{2} \sqrt{x + 1} \sqrt{\sqrt{x + 1} + 1} \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1} \Gamma\left(- \frac{1}{4}\right) \Gamma\left(\frac{1}{4}\right)}{63 \pi} - \frac{\sqrt{2} \sqrt{x + 1} \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1} \Gamma\left(- \frac{1}{4}\right) \Gamma\left(\frac{1}{4}\right)}{315 \pi} - \frac{\sqrt{2} \left(x + 1\right) \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1} \Gamma\left(- \frac{1}{4}\right) \Gamma\left(\frac{1}{4}\right)}{9 \pi} + \frac{8 \sqrt{2} \sqrt{\sqrt{x + 1} + 1} \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1} \Gamma\left(- \frac{1}{4}\right) \Gamma\left(\frac{1}{4}\right)}{315 \pi} + \frac{8 \sqrt{2} \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1} \Gamma\left(- \frac{1}{4}\right) \Gamma\left(\frac{1}{4}\right)}{315 \pi}"," ",0,"-sqrt(2)*sqrt(x + 1)*sqrt(sqrt(x + 1) + 1)*sqrt(sqrt(sqrt(x + 1) + 1) + 1)*gamma(-1/4)*gamma(1/4)/(63*pi) - sqrt(2)*sqrt(x + 1)*sqrt(sqrt(sqrt(x + 1) + 1) + 1)*gamma(-1/4)*gamma(1/4)/(315*pi) - sqrt(2)*(x + 1)*sqrt(sqrt(sqrt(x + 1) + 1) + 1)*gamma(-1/4)*gamma(1/4)/(9*pi) + 8*sqrt(2)*sqrt(sqrt(x + 1) + 1)*sqrt(sqrt(sqrt(x + 1) + 1) + 1)*gamma(-1/4)*gamma(1/4)/(315*pi) + 8*sqrt(2)*sqrt(sqrt(sqrt(x + 1) + 1) + 1)*gamma(-1/4)*gamma(1/4)/(315*pi)","A",0
1923,0,0,0,0.000000," ","integrate((1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(-x**2+1)/(x+(x**2+1)**(1/2))**(1/2),x)","- \int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{x^{2} \sqrt{x + \sqrt{x^{2} + 1}} - \sqrt{x + \sqrt{x^{2} + 1}}}\, dx"," ",0,"-Integral(sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/(x**2*sqrt(x + sqrt(x**2 + 1)) - sqrt(x + sqrt(x**2 + 1))), x)","F",0
1924,0,0,0,0.000000," ","integrate((1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(-x**2+1)/(x+(x**2+1)**(1/2))**(1/2),x)","- \int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{x^{2} \sqrt{x + \sqrt{x^{2} + 1}} - \sqrt{x + \sqrt{x^{2} + 1}}}\, dx"," ",0,"-Integral(sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/(x**2*sqrt(x + sqrt(x**2 + 1)) - sqrt(x + sqrt(x**2 + 1))), x)","F",0
1925,0,0,0,0.000000," ","integrate((x**3-2)*(x**3+1)**(2/3)/x**6/(2*x**3-1),x)","\int \frac{\left(\left(x + 1\right) \left(x^{2} - x + 1\right)\right)^{\frac{2}{3}} \left(x^{3} - 2\right)}{x^{6} \left(2 x^{3} - 1\right)}\, dx"," ",0,"Integral(((x + 1)*(x**2 - x + 1))**(2/3)*(x**3 - 2)/(x**6*(2*x**3 - 1)), x)","F",0
1926,0,0,0,0.000000," ","integrate(1/x**3/(a*x**3+b)/(a**3*x**3+b**2*x**2)**(1/3),x)","\int \frac{1}{x^{3} \sqrt[3]{x^{2} \left(a^{3} x + b^{2}\right)} \left(a x^{3} + b\right)}\, dx"," ",0,"Integral(1/(x**3*(x**2*(a**3*x + b**2))**(1/3)*(a*x**3 + b)), x)","F",0
1927,0,0,0,0.000000," ","integrate(1/x**3/(a*x**3+b)/(a**3*x**3+b**2*x**2)**(1/3),x)","\int \frac{1}{x^{3} \sqrt[3]{x^{2} \left(a^{3} x + b^{2}\right)} \left(a x^{3} + b\right)}\, dx"," ",0,"Integral(1/(x**3*(x**2*(a**3*x + b**2))**(1/3)*(a*x**3 + b)), x)","F",0
1928,0,0,0,0.000000," ","integrate((x**4+x-1)*(x**4-x**3)**(1/4)/(1+x),x)","\int \frac{\sqrt[4]{x^{3} \left(x - 1\right)} \left(x^{4} + x - 1\right)}{x + 1}\, dx"," ",0,"Integral((x**3*(x - 1))**(1/4)*(x**4 + x - 1)/(x + 1), x)","F",0
1929,-1,0,0,0.000000," ","integrate((x**4-3)*(x**4+1)**(2/3)/x**3/(2*x**4+x**3+2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1930,0,0,0,0.000000," ","integrate((a*x**4-4*b)*(a*x**4+b)**(3/4)/x**8/(a*x**4+4*b),x)","\int \frac{\left(a x^{4} - 4 b\right) \left(a x^{4} + b\right)^{\frac{3}{4}}}{x^{8} \left(a x^{4} + 4 b\right)}\, dx"," ",0,"Integral((a*x**4 - 4*b)*(a*x**4 + b)**(3/4)/(x**8*(a*x**4 + 4*b)), x)","F",0
1931,0,0,0,0.000000," ","integrate((a*x**4+b)**(3/4)*(a*x**4+2*b)/x**8/(a*x**4+4*b),x)","\int \frac{\left(a x^{4} + b\right)^{\frac{3}{4}} \left(a x^{4} + 2 b\right)}{x^{8} \left(a x^{4} + 4 b\right)}\, dx"," ",0,"Integral((a*x**4 + b)**(3/4)*(a*x**4 + 2*b)/(x**8*(a*x**4 + 4*b)), x)","F",0
1932,0,0,0,0.000000," ","integrate(x**4*(a*x**4+b*x**3)**(1/4)/(a*x+b),x)","\int \frac{x^{4} \sqrt[4]{x^{3} \left(a x + b\right)}}{a x + b}\, dx"," ",0,"Integral(x**4*(x**3*(a*x + b))**(1/4)/(a*x + b), x)","F",0
1933,0,0,0,0.000000," ","integrate((a*x**2+b)/(a*x**2-b)/(a**2*x**4+b**2)**(1/2),x)","\int \frac{a x^{2} + b}{\left(a x^{2} - b\right) \sqrt{a^{2} x^{4} + b^{2}}}\, dx"," ",0,"Integral((a*x**2 + b)/((a*x**2 - b)*sqrt(a**2*x**4 + b**2)), x)","F",0
1934,0,0,0,0.000000," ","integrate((x**2+1)*(1+(x**2+1)**(1/2))**(1/2)/(x**2-1),x)","\int \frac{\left(x^{2} + 1\right) \sqrt{\sqrt{x^{2} + 1} + 1}}{\left(x - 1\right) \left(x + 1\right)}\, dx"," ",0,"Integral((x**2 + 1)*sqrt(sqrt(x**2 + 1) + 1)/((x - 1)*(x + 1)), x)","F",0
1935,1,37,0,0.856792," ","integrate(1/(a*x**3-b)**(1/3),x)","\frac{x e^{- \frac{i \pi}{3}} \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {\frac{a x^{3}}{b}} \right)}}{3 \sqrt[3]{b} \Gamma\left(\frac{4}{3}\right)}"," ",0,"x*exp(-I*pi/3)*gamma(1/3)*hyper((1/3, 1/3), (4/3,), a*x**3/b)/(3*b**(1/3)*gamma(4/3))","C",0
1936,-1,0,0,0.000000," ","integrate((a**2-2*a*x+x**2)*(-a*b-a*c+3*b*c+2*(a-b-c)*x+x**2)/((-a+x)*(-b+x)*(-c+x))**(3/4)/(-b*c-a**3*d+(3*a**2*d+b+c)*x-(3*a*d+1)*x**2+d*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1937,0,0,0,0.000000," ","integrate((x**5-4)*(x**5-2*x**4+1)**(1/4)/x**2/(x**5+1),x)","\int \frac{\sqrt[4]{\left(x - 1\right) \left(x^{4} - x^{3} - x^{2} - x - 1\right)} \left(x^{5} - 4\right)}{x^{2} \left(x + 1\right) \left(x^{4} - x^{3} + x^{2} - x + 1\right)}\, dx"," ",0,"Integral(((x - 1)*(x**4 - x**3 - x**2 - x - 1))**(1/4)*(x**5 - 4)/(x**2*(x + 1)*(x**4 - x**3 + x**2 - x + 1)), x)","F",0
1938,0,0,0,0.000000," ","integrate((a*x**6+b)/x**6/(x**3+x)**(1/3),x)","\int \frac{a x^{6} + b}{x^{6} \sqrt[3]{x \left(x^{2} + 1\right)}}\, dx"," ",0,"Integral((a*x**6 + b)/(x**6*(x*(x**2 + 1))**(1/3)), x)","F",0
1939,0,0,0,0.000000," ","integrate((a**2*x**2+b**2)/(a*x+(a**2*x**2+b**2)**(1/2))**(1/2),x)","\int \frac{a^{2} x^{2} + b^{2}}{\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}}\, dx"," ",0,"Integral((a**2*x**2 + b**2)/sqrt(a*x + sqrt(a**2*x**2 + b**2)), x)","F",0
1940,0,0,0,0.000000," ","integrate(x**2/(a*x**2+b)**(3/4)/(a*x**2+2*b),x)","\int \frac{x^{2}}{\left(a x^{2} + b\right)^{\frac{3}{4}} \left(a x^{2} + 2 b\right)}\, dx"," ",0,"Integral(x**2/((a*x**2 + b)**(3/4)*(a*x**2 + 2*b)), x)","F",0
1941,1,41,0,0.938761," ","integrate(x/(a*x**3-b)**(2/3),x)","\frac{x^{2} e^{- \frac{2 i \pi}{3}} \Gamma\left(\frac{2}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{2}{3}, \frac{2}{3} \\ \frac{5}{3} \end{matrix}\middle| {\frac{a x^{3}}{b}} \right)}}{3 b^{\frac{2}{3}} \Gamma\left(\frac{5}{3}\right)}"," ",0,"x**2*exp(-2*I*pi/3)*gamma(2/3)*hyper((2/3, 2/3), (5/3,), a*x**3/b)/(3*b**(2/3)*gamma(5/3))","C",0
1942,0,0,0,0.000000," ","integrate(x*(x**4+x**2)**(1/3)/(2*x**2+1),x)","\int \frac{x \sqrt[3]{x^{2} \left(x^{2} + 1\right)}}{2 x^{2} + 1}\, dx"," ",0,"Integral(x*(x**2*(x**2 + 1))**(1/3)/(2*x**2 + 1), x)","F",0
1943,0,0,0,0.000000," ","integrate((a*x**3+b)/x**6/(a*x**3-b)/(a*x**4+b*x)**(1/4),x)","\int \frac{a x^{3} + b}{x^{6} \sqrt[4]{x \left(a x^{3} + b\right)} \left(a x^{3} - b\right)}\, dx"," ",0,"Integral((a*x**3 + b)/(x**6*(x*(a*x**3 + b))**(1/4)*(a*x**3 - b)), x)","F",0
1944,0,0,0,0.000000," ","integrate((x**4-1)*(x**6+x**2)**(1/4)/(x**8+x**4+1),x)","\int \frac{\sqrt[4]{x^{2} \left(x^{4} + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}{\left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right) \left(x^{4} - x^{2} + 1\right)}\, dx"," ",0,"Integral((x**2*(x**4 + 1))**(1/4)*(x - 1)*(x + 1)*(x**2 + 1)/((x**2 - x + 1)*(x**2 + x + 1)*(x**4 - x**2 + 1)), x)","F",0
1945,0,0,0,0.000000," ","integrate((x**4-1)*(x**6+x**2)**(1/4)/(x**8+x**4+1),x)","\int \frac{\sqrt[4]{x^{2} \left(x^{4} + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}{\left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right) \left(x^{4} - x^{2} + 1\right)}\, dx"," ",0,"Integral((x**2*(x**4 + 1))**(1/4)*(x - 1)*(x + 1)*(x**2 + 1)/((x**2 - x + 1)*(x**2 + x + 1)*(x**4 - x**2 + 1)), x)","F",0
1946,0,0,0,0.000000," ","integrate(x*(a*x+(a*x-b)**(1/2))**(1/2)/(a*x-b)**(1/2),x)","\int \frac{x \sqrt{a x + \sqrt{a x - b}}}{\sqrt{a x - b}}\, dx"," ",0,"Integral(x*sqrt(a*x + sqrt(a*x - b))/sqrt(a*x - b), x)","F",0
1947,0,0,0,0.000000," ","integrate((a*x-1)*(a*x+(a*x-b)**(1/2))**(1/2)/(a*x-b)**(1/2),x)","\int \frac{\left(a x - 1\right) \sqrt{a x + \sqrt{a x - b}}}{\sqrt{a x - b}}\, dx"," ",0,"Integral((a*x - 1)*sqrt(a*x + sqrt(a*x - b))/sqrt(a*x - b), x)","F",0
1948,0,0,0,0.000000," ","integrate((x**4-1)/(x**4+1)/(x+(x**2+1)**(1/2))**(1/2),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}{\sqrt{x + \sqrt{x^{2} + 1}} \left(x^{4} + 1\right)}\, dx"," ",0,"Integral((x - 1)*(x + 1)*(x**2 + 1)/(sqrt(x + sqrt(x**2 + 1))*(x**4 + 1)), x)","F",0
1949,0,0,0,0.000000," ","integrate((x**4-1)/(x**4+1)/(x+(x**2+1)**(1/2))**(1/2),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}{\sqrt{x + \sqrt{x^{2} + 1}} \left(x^{4} + 1\right)}\, dx"," ",0,"Integral((x - 1)*(x + 1)*(x**2 + 1)/(sqrt(x + sqrt(x**2 + 1))*(x**4 + 1)), x)","F",0
1950,0,0,0,0.000000," ","integrate(1/(x**4-x**2)**(1/4)/(x**8-1),x)","\int \frac{1}{\sqrt[4]{x^{2} \left(x - 1\right) \left(x + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \left(x^{4} + 1\right)}\, dx"," ",0,"Integral(1/((x**2*(x - 1)*(x + 1))**(1/4)*(x - 1)*(x + 1)*(x**2 + 1)*(x**4 + 1)), x)","F",0
1951,0,0,0,0.000000," ","integrate(1/(x**4-x**2)**(1/4)/(x**8-1),x)","\int \frac{1}{\sqrt[4]{x^{2} \left(x - 1\right) \left(x + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \left(x^{4} + 1\right)}\, dx"," ",0,"Integral(1/((x**2*(x - 1)*(x + 1))**(1/4)*(x - 1)*(x + 1)*(x**2 + 1)*(x**4 + 1)), x)","F",0
1952,0,0,0,0.000000," ","integrate((x**4-2)/(x**4+1)**(1/4)/(2*x**8-x**4-1),x)","\int \frac{x^{4} - 2}{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \sqrt[4]{x^{4} + 1} \left(2 x^{4} + 1\right)}\, dx"," ",0,"Integral((x**4 - 2)/((x - 1)*(x + 1)*(x**2 + 1)*(x**4 + 1)**(1/4)*(2*x**4 + 1)), x)","F",0
1953,0,0,0,0.000000," ","integrate((b+(a*x**2+b**2)**(1/2))**(1/2)/(a*x**2+b**2)**(5/2),x)","\int \frac{\sqrt{b + \sqrt{a x^{2} + b^{2}}}}{\left(a x^{2} + b^{2}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(sqrt(b + sqrt(a*x**2 + b**2))/(a*x**2 + b**2)**(5/2), x)","F",0
1954,1,48,0,0.964025," ","integrate((a*x**2-b)**(1/4)/x,x)","- \frac{\sqrt[4]{a} \sqrt{x} \Gamma\left(- \frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{4}, - \frac{1}{4} \\ \frac{3}{4} \end{matrix}\middle| {\frac{b e^{2 i \pi}}{a x^{2}}} \right)}}{2 \Gamma\left(\frac{3}{4}\right)}"," ",0,"-a**(1/4)*sqrt(x)*gamma(-1/4)*hyper((-1/4, -1/4), (3/4,), b*exp_polar(2*I*pi)/(a*x**2))/(2*gamma(3/4))","C",0
1955,0,0,0,0.000000," ","integrate((a*x**2+b)*(x**3-x)**(1/3)/x**2,x)","\int \frac{\sqrt[3]{x \left(x - 1\right) \left(x + 1\right)} \left(a x^{2} + b\right)}{x^{2}}\, dx"," ",0,"Integral((x*(x - 1)*(x + 1))**(1/3)*(a*x**2 + b)/x**2, x)","F",0
1956,1,76,0,4.307418," ","integrate((a*x-b)/x/(a**3*x**3+b**3)**(1/3),x)","\frac{a x \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {\frac{a^{3} x^{3} e^{i \pi}}{b^{3}}} \right)}}{3 b \Gamma\left(\frac{4}{3}\right)} + \frac{b \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {\frac{b^{3} e^{i \pi}}{a^{3} x^{3}}} \right)}}{3 a x \Gamma\left(\frac{4}{3}\right)}"," ",0,"a*x*gamma(1/3)*hyper((1/3, 1/3), (4/3,), a**3*x**3*exp_polar(I*pi)/b**3)/(3*b*gamma(4/3)) + b*gamma(1/3)*hyper((1/3, 1/3), (4/3,), b**3*exp_polar(I*pi)/(a**3*x**3))/(3*a*x*gamma(4/3))","C",0
1957,0,0,0,0.000000," ","integrate(x**2*(x**4-x**3)**(1/4)/(2+x),x)","\int \frac{x^{2} \sqrt[4]{x^{3} \left(x - 1\right)}}{x + 2}\, dx"," ",0,"Integral(x**2*(x**3*(x - 1))**(1/4)/(x + 2), x)","F",0
1958,-1,0,0,0.000000," ","integrate((-1+x)*(12*x**4-8*x**2+8*x-3)/x/((-2*x**2+1)/(2*x**2+1))**(2/3)/(2*x**2+1)/(2*x**4-6*x**3+7*x**2-7*x+3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1959,-1,0,0,0.000000," ","integrate((-a*x**5+b)/(b*x+a)**(1/2)/(x**5+a*b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1960,0,0,0,0.000000," ","integrate((x**3-1)**(2/3)*(x**6+x**3+1)/x**6/(x**6-1),x)","\int \frac{\left(\left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{2}{3}} \left(x^{6} + x^{3} + 1\right)}{x^{6} \left(x - 1\right) \left(x + 1\right) \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)}\, dx"," ",0,"Integral(((x - 1)*(x**2 + x + 1))**(2/3)*(x**6 + x**3 + 1)/(x**6*(x - 1)*(x + 1)*(x**2 - x + 1)*(x**2 + x + 1)), x)","F",0
1961,-1,0,0,0.000000," ","integrate((x**2-1)/(1+x)**(1/2)/(x**2+1)/(1+(1+x)**(1/2))**(1/2)/(1+(1+(1+x)**(1/2))**(1/2))**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1962,-1,0,0,0.000000," ","integrate((x**2-1)/(1+x)**(1/2)/(x**2+1)/(1+(1+x)**(1/2))**(1/2)/(1+(1+(1+x)**(1/2))**(1/2))**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1963,0,0,0,0.000000," ","integrate(x/(x**2*(-a+x))**(2/3)/(-a*d+(-1+d)*x),x)","\int \frac{x}{\left(x^{2} \left(- a + x\right)\right)^{\frac{2}{3}} \left(- a d + d x - x\right)}\, dx"," ",0,"Integral(x/((x**2*(-a + x))**(2/3)*(-a*d + d*x - x)), x)","F",0
1964,1,48,0,1.071867," ","integrate((a*x**2-b)**(3/4)/x,x)","- \frac{a^{\frac{3}{4}} x^{\frac{3}{2}} \Gamma\left(- \frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, - \frac{3}{4} \\ \frac{1}{4} \end{matrix}\middle| {\frac{b e^{2 i \pi}}{a x^{2}}} \right)}}{2 \Gamma\left(\frac{1}{4}\right)}"," ",0,"-a**(3/4)*x**(3/2)*gamma(-3/4)*hyper((-3/4, -3/4), (1/4,), b*exp_polar(2*I*pi)/(a*x**2))/(2*gamma(1/4))","C",0
1965,0,0,0,0.000000," ","integrate((x**2-2*x)/(x**2-x+1)/(x**4+1)**(1/4),x)","\int \frac{x \left(x - 2\right)}{\sqrt[4]{x^{4} + 1} \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(x*(x - 2)/((x**4 + 1)**(1/4)*(x**2 - x + 1)), x)","F",0
1966,0,0,0,0.000000," ","integrate((k**4*x**4+1)/((1-x)*x*(-k**2*x+1))**(1/2)/(k**4*x**4-1),x)","\int \frac{k^{4} x^{4} + 1}{\sqrt{x \left(x - 1\right) \left(k^{2} x - 1\right)} \left(k x - 1\right) \left(k x + 1\right) \left(k^{2} x^{2} + 1\right)}\, dx"," ",0,"Integral((k**4*x**4 + 1)/(sqrt(x*(x - 1)*(k**2*x - 1))*(k*x - 1)*(k*x + 1)*(k**2*x**2 + 1)), x)","F",0
1967,0,0,0,0.000000," ","integrate((a*x**8-b)/(a*x**4-b*x**2)**(1/4)/(a*x**8+b),x)","\int \frac{a x^{8} - b}{\sqrt[4]{x^{2} \left(a x^{2} - b\right)} \left(a x^{8} + b\right)}\, dx"," ",0,"Integral((a*x**8 - b)/((x**2*(a*x**2 - b))**(1/4)*(a*x**8 + b)), x)","F",0
1968,0,0,0,0.000000," ","integrate((a*x**8-b)/(a*x**4-b*x**2)**(1/4)/(a*x**8+b),x)","\int \frac{a x^{8} - b}{\sqrt[4]{x^{2} \left(a x^{2} - b\right)} \left(a x^{8} + b\right)}\, dx"," ",0,"Integral((a*x**8 - b)/((x**2*(a*x**2 - b))**(1/4)*(a*x**8 + b)), x)","F",0
1969,-1,0,0,0.000000," ","integrate((x**8-1)*(x**8+1)/(x**8-x**4-1)**(1/4)/(x**16-3*x**8+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1970,0,0,0,0.000000," ","integrate(1/(x**2*(-a+x))**(1/3)/(-a*d+(-1+d)*x),x)","\int \frac{1}{\sqrt[3]{x^{2} \left(- a + x\right)} \left(- a d + d x - x\right)}\, dx"," ",0,"Integral(1/((x**2*(-a + x))**(1/3)*(-a*d + d*x - x)), x)","F",0
1971,0,0,0,0.000000," ","integrate((x**2+2*x+6)**(1/3)/(1+x),x)","\int \frac{\sqrt[3]{x^{2} + 2 x + 6}}{x + 1}\, dx"," ",0,"Integral((x**2 + 2*x + 6)**(1/3)/(x + 1), x)","F",0
1972,1,60,0,2.416831," ","integrate((-1+x)/x/(x**3-1)**(1/3),x)","\frac{x e^{- \frac{i \pi}{3}} \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {x^{3}} \right)}}{3 \Gamma\left(\frac{4}{3}\right)} + \frac{\Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {\frac{e^{2 i \pi}}{x^{3}}} \right)}}{3 x \Gamma\left(\frac{4}{3}\right)}"," ",0,"x*exp(-I*pi/3)*gamma(1/3)*hyper((1/3, 1/3), (4/3,), x**3)/(3*gamma(4/3)) + gamma(1/3)*hyper((1/3, 1/3), (4/3,), exp_polar(2*I*pi)/x**3)/(3*x*gamma(4/3))","C",0
1973,0,0,0,0.000000," ","integrate((x**3-1)**(2/3)*(x**3+1)/x**6/(x**3-2),x)","\int \frac{\left(\left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{2}{3}} \left(x + 1\right) \left(x^{2} - x + 1\right)}{x^{6} \left(x^{3} - 2\right)}\, dx"," ",0,"Integral(((x - 1)*(x**2 + x + 1))**(2/3)*(x + 1)*(x**2 - x + 1)/(x**6*(x**3 - 2)), x)","F",0
1974,0,0,0,0.000000," ","integrate((x**2-4)*(x**3+x)**(1/3)/x**4/(x**2+2),x)","\int \frac{\sqrt[3]{x \left(x^{2} + 1\right)} \left(x - 2\right) \left(x + 2\right)}{x^{4} \left(x^{2} + 2\right)}\, dx"," ",0,"Integral((x*(x**2 + 1))**(1/3)*(x - 2)*(x + 2)/(x**4*(x**2 + 2)), x)","F",0
1975,0,0,0,0.000000," ","integrate((x**2+2)/(x**2+1)/(x**3-x**2)**(1/3),x)","\int \frac{x^{2} + 2}{\sqrt[3]{x^{2} \left(x - 1\right)} \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x**2 + 2)/((x**2*(x - 1))**(1/3)*(x**2 + 1)), x)","F",0
1976,0,0,0,0.000000," ","integrate(x/(a*x**2+b)/(a*x**3-b*x)**(1/2),x)","\int \frac{x}{\sqrt{x \left(a x^{2} - b\right)} \left(a x^{2} + b\right)}\, dx"," ",0,"Integral(x/(sqrt(x*(a*x**2 - b))*(a*x**2 + b)), x)","F",0
1977,0,0,0,0.000000," ","integrate((a*x**2-b)/(a*x**2+b)/(a*x**3-b*x)**(1/2),x)","\int \frac{a x^{2} - b}{\sqrt{x \left(a x^{2} - b\right)} \left(a x^{2} + b\right)}\, dx"," ",0,"Integral((a*x**2 - b)/(sqrt(x*(a*x**2 - b))*(a*x**2 + b)), x)","F",0
1978,0,0,0,0.000000," ","integrate((a*x**3-b*x)**(1/2)/(a**2*x**4-b**2),x)","\int \frac{\sqrt{x \left(a x^{2} - b\right)}}{\left(a x^{2} - b\right) \left(a x^{2} + b\right)}\, dx"," ",0,"Integral(sqrt(x*(a*x**2 - b))/((a*x**2 - b)*(a*x**2 + b)), x)","F",0
1979,0,0,0,0.000000," ","integrate((x**5+1)**(2/3)*(2*x**5-3)*(2*x**5+x**3+2)/x**6/(2*x**5-x**3+2),x)","\int \frac{\left(\left(x + 1\right) \left(x^{4} - x^{3} + x^{2} - x + 1\right)\right)^{\frac{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)}\, dx"," ",0,"Integral(((x + 1)*(x**4 - x**3 + x**2 - x + 1))**(2/3)*(2*x**5 - 3)*(2*x**5 + x**3 + 2)/(x**6*(2*x**5 - x**3 + 2)), x)","F",0
1980,0,0,0,0.000000," ","integrate((a*x**6+b)/(a*x**6-b)/(a*x**6+a**3*x**3-b)**(1/3),x)","\int \frac{a x^{6} + b}{\left(a x^{6} - b\right) \sqrt[3]{a^{3} x^{3} + a x^{6} - b}}\, dx"," ",0,"Integral((a*x**6 + b)/((a*x**6 - b)*(a**3*x**3 + a*x**6 - b)**(1/3)), x)","F",0
1981,0,0,0,0.000000," ","integrate((x**2+1)*(x**8+1)*(x**8+x**6+x**4+x**2+1)**(1/2)/x**7/(x**2-1),x)","\int \frac{\sqrt{\left(x^{4} - x^{3} + x^{2} - x + 1\right) \left(x^{4} + x^{3} + x^{2} + x + 1\right)} \left(x^{2} + 1\right) \left(x^{8} + 1\right)}{x^{7} \left(x - 1\right) \left(x + 1\right)}\, dx"," ",0,"Integral(sqrt((x**4 - x**3 + x**2 - x + 1)*(x**4 + x**3 + x**2 + x + 1))*(x**2 + 1)*(x**8 + 1)/(x**7*(x - 1)*(x + 1)), x)","F",0
1982,0,0,0,0.000000," ","integrate((a*x**8+b)/(a*x**4-b*x**2)**(1/4)/(a*x**8-b),x)","\int \frac{a x^{8} + b}{\sqrt[4]{x^{2} \left(a x^{2} - b\right)} \left(a x^{8} - b\right)}\, dx"," ",0,"Integral((a*x**8 + b)/((x**2*(a*x**2 - b))**(1/4)*(a*x**8 - b)), x)","F",0
1983,0,0,0,0.000000," ","integrate((a*x**8+b)/(a*x**4-b*x**2)**(1/4)/(a*x**8-b),x)","\int \frac{a x^{8} + b}{\sqrt[4]{x^{2} \left(a x^{2} - b\right)} \left(a x^{8} - b\right)}\, dx"," ",0,"Integral((a*x**8 + b)/((x**2*(a*x**2 - b))**(1/4)*(a*x**8 - b)), x)","F",0
1984,0,0,0,0.000000," ","integrate((x**4-1)*(x+(x**2+1)**(1/2))**(1/2)/(x**4+1),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \sqrt{x + \sqrt{x^{2} + 1}} \left(x^{2} + 1\right)}{x^{4} + 1}\, dx"," ",0,"Integral((x - 1)*(x + 1)*sqrt(x + sqrt(x**2 + 1))*(x**2 + 1)/(x**4 + 1), x)","F",0
1985,0,0,0,0.000000," ","integrate((x**4-1)*(x+(x**2+1)**(1/2))**(1/2)/(x**4+1),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \sqrt{x + \sqrt{x^{2} + 1}} \left(x^{2} + 1\right)}{x^{4} + 1}\, dx"," ",0,"Integral((x - 1)*(x + 1)*sqrt(x + sqrt(x**2 + 1))*(x**2 + 1)/(x**4 + 1), x)","F",0
1986,0,0,0,0.000000," ","integrate(x**2*(x**2+x)**(1/2)/(x**2+x*(x**2+x)**(1/2))**(1/2),x)","\int \frac{x^{2} \sqrt{x \left(x + 1\right)}}{\sqrt{x \left(x + \sqrt{x^{2} + x}\right)}}\, dx"," ",0,"Integral(x**2*sqrt(x*(x + 1))/sqrt(x*(x + sqrt(x**2 + x))), x)","F",0
1987,0,0,0,0.000000," ","integrate(1/(c*x**2+d)/(a*x+(a**2*x**2+b**2)**(1/2))**(1/2),x)","\int \frac{1}{\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} \left(c x^{2} + d\right)}\, dx"," ",0,"Integral(1/(sqrt(a*x + sqrt(a**2*x**2 + b**2))*(c*x**2 + d)), x)","F",0
1988,0,0,0,0.000000," ","integrate(1/(c*x**2+d)/(a*x+(a**2*x**2+b**2)**(1/2))**(1/2),x)","\int \frac{1}{\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} \left(c x^{2} + d\right)}\, dx"," ",0,"Integral(1/(sqrt(a*x + sqrt(a**2*x**2 + b**2))*(c*x**2 + d)), x)","F",0
1989,0,0,0,0.000000," ","integrate((1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(-x**2+1)/(x**2+1)**(1/2),x)","- \int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{x^{2} \sqrt{x^{2} + 1} - \sqrt{x^{2} + 1}}\, dx"," ",0,"-Integral(sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/(x**2*sqrt(x**2 + 1) - sqrt(x**2 + 1)), x)","F",0
1990,0,0,0,0.000000," ","integrate((1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(-x**2+1)/(x**2+1)**(1/2),x)","- \int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{x^{2} \sqrt{x^{2} + 1} - \sqrt{x^{2} + 1}}\, dx"," ",0,"-Integral(sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/(x**2*sqrt(x**2 + 1) - sqrt(x**2 + 1)), x)","F",0
1991,0,0,0,0.000000," ","integrate((a**2*x**2+b)**(1/2)/(x**2-(a*x-(a**2*x**2+b)**(1/2))**(1/3)),x)","\int \frac{\sqrt{a^{2} x^{2} + b}}{x^{2} - \sqrt[3]{a x - \sqrt{a^{2} x^{2} + b}}}\, dx"," ",0,"Integral(sqrt(a**2*x**2 + b)/(x**2 - (a*x - sqrt(a**2*x**2 + b))**(1/3)), x)","F",0
1992,0,0,0,0.000000," ","integrate((a**2*x**2+b)**(1/2)/(x**2-(a*x-(a**2*x**2+b)**(1/2))**(1/2)),x)","\int \frac{\sqrt{a^{2} x^{2} + b}}{x^{2} - \sqrt{a x - \sqrt{a^{2} x^{2} + b}}}\, dx"," ",0,"Integral(sqrt(a**2*x**2 + b)/(x**2 - sqrt(a*x - sqrt(a**2*x**2 + b))), x)","F",0
1993,0,0,0,0.000000," ","integrate((x**2-2*x-6)**(1/3)/(-1+x),x)","\int \frac{\sqrt[3]{x^{2} - 2 x - 6}}{x - 1}\, dx"," ",0,"Integral((x**2 - 2*x - 6)**(1/3)/(x - 1), x)","F",0
1994,0,0,0,0.000000," ","integrate((-1+x)/(x**3-x**2-x+1)**(1/3),x)","\int \frac{x - 1}{\sqrt[3]{\left(x - 1\right)^{2} \left(x + 1\right)}}\, dx"," ",0,"Integral((x - 1)/((x - 1)**2*(x + 1))**(1/3), x)","F",0
1995,0,0,0,0.000000," ","integrate(x/(x**3+x**2-x-1)**(1/3),x)","\int \frac{x}{\sqrt[3]{\left(x - 1\right) \left(x + 1\right)^{2}}}\, dx"," ",0,"Integral(x/((x - 1)*(x + 1)**2)**(1/3), x)","F",0
1996,-1,0,0,0.000000," ","integrate((3+2*x)*(3*x**3+x+1)**(2/3)/x**3/(x**3+x+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1997,-1,0,0,0.000000," ","integrate(x**2*(-3*a*b**3+2*b**2*(3*a+b)*x-3*b*(a+b)*x**2+x**4)/(x*(-a+x)*(-b+x)**3)**(3/4)/(a*b**3-b**2*(3*a+b)*x+3*b*(a+b)*x**2-(a+3*b+d)*x**3+x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
1998,0,0,0,0.000000," ","integrate(x**6/(a*x**4-b)**(3/4)/(a*x**4+b),x)","\int \frac{x^{6}}{\left(a x^{4} - b\right)^{\frac{3}{4}} \left(a x^{4} + b\right)}\, dx"," ",0,"Integral(x**6/((a*x**4 - b)**(3/4)*(a*x**4 + b)), x)","F",0
1999,0,0,0,0.000000," ","integrate((2*a*x**2-b)/(a*x**2-b)/(a*x**4+b*x**2)**(1/4),x)","\int \frac{2 a x^{2} - b}{\sqrt[4]{x^{2} \left(a x^{2} + b\right)} \left(a x^{2} - b\right)}\, dx"," ",0,"Integral((2*a*x**2 - b)/((x**2*(a*x**2 + b))**(1/4)*(a*x**2 - b)), x)","F",0
2000,0,0,0,0.000000," ","integrate((2*a*x**4-3*b)/(a*x**4-2*b)/(a*x**4+b)**(1/4),x)","\int \frac{2 a x^{4} - 3 b}{\left(a x^{4} - 2 b\right) \sqrt[4]{a x^{4} + b}}\, dx"," ",0,"Integral((2*a*x**4 - 3*b)/((a*x**4 - 2*b)*(a*x**4 + b)**(1/4)), x)","F",0
2001,0,0,0,0.000000," ","integrate((a*x**4+b)/(a*x**4-b)**(1/4)/(3*a*x**4+b),x)","\int \frac{a x^{4} + b}{\sqrt[4]{a x^{4} - b} \left(3 a x^{4} + b\right)}\, dx"," ",0,"Integral((a*x**4 + b)/((a*x**4 - b)**(1/4)*(3*a*x**4 + b)), x)","F",0
2002,0,0,0,0.000000," ","integrate((x**6+2)*(x**6-x**4-1)/(-x**6-x**4+1)**(1/4)/(x**6-1)**2,x)","\int \frac{\left(x^{6} + 2\right) \left(x^{6} - x^{4} - 1\right)}{\left(x - 1\right)^{2} \left(x + 1\right)^{2} \left(x^{2} - x + 1\right)^{2} \left(x^{2} + x + 1\right)^{2} \sqrt[4]{- x^{6} - x^{4} + 1}}\, dx"," ",0,"Integral((x**6 + 2)*(x**6 - x**4 - 1)/((x - 1)**2*(x + 1)**2*(x**2 - x + 1)**2*(x**2 + x + 1)**2*(-x**6 - x**4 + 1)**(1/4)), x)","F",0
2003,-1,0,0,0.000000," ","integrate((a*x**6-2*b)*(a*x**6-c*x**4+b)/x**2/(a*x**6+b)**(3/4)/(a*x**6+c*x**4+b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2004,0,0,0,0.000000," ","integrate((2*x**4+1)**(1/4)*(2*x**8-x**4-1)/x**6/(x**4+2),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \left(2 x^{4} + 1\right)^{\frac{5}{4}}}{x^{6} \left(x^{4} + 2\right)}\, dx"," ",0,"Integral((x - 1)*(x + 1)*(x**2 + 1)*(2*x**4 + 1)**(5/4)/(x**6*(x**4 + 2)), x)","F",0
2005,-1,0,0,0.000000," ","integrate((2*a**4*x**4-b**8)/(a**4*x**4-b**8)**(1/4)/(a**8*x**8-b**8-c*x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2006,0,0,0,0.000000," ","integrate((x**2-1)/(x**2+1)/(x+(x**2+1)**(1/2))**(1/2),x)","\int \frac{\left(x - 1\right) \left(x + 1\right)}{\sqrt{x + \sqrt{x^{2} + 1}} \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x - 1)*(x + 1)/(sqrt(x + sqrt(x**2 + 1))*(x**2 + 1)), x)","F",0
2007,0,0,0,0.000000," ","integrate((x**2+1)*(2*x**3+x)**(1/3)/x**4/(x**2-1),x)","\int \frac{\sqrt[3]{x \left(2 x^{2} + 1\right)} \left(x^{2} + 1\right)}{x^{4} \left(x - 1\right) \left(x + 1\right)}\, dx"," ",0,"Integral((x*(2*x**2 + 1))**(1/3)*(x**2 + 1)/(x**4*(x - 1)*(x + 1)), x)","F",0
2008,1,114,0,2.628211," ","integrate((a**3*x**3-b)*(a**3*x**3+b)**(1/3)/x**5,x)","- \frac{a^{4} \sqrt[3]{1 + \frac{b}{a^{3} x^{3}}} \Gamma\left(- \frac{4}{3}\right)}{3 \Gamma\left(- \frac{1}{3}\right)} + \frac{a^{3} \sqrt[3]{b} \Gamma\left(- \frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{3}, - \frac{1}{3} \\ \frac{2}{3} \end{matrix}\middle| {\frac{a^{3} x^{3} e^{i \pi}}{b}} \right)}}{3 x \Gamma\left(\frac{2}{3}\right)} - \frac{a b \sqrt[3]{1 + \frac{b}{a^{3} x^{3}}} \Gamma\left(- \frac{4}{3}\right)}{3 x^{3} \Gamma\left(- \frac{1}{3}\right)}"," ",0,"-a**4*(1 + b/(a**3*x**3))**(1/3)*gamma(-4/3)/(3*gamma(-1/3)) + a**3*b**(1/3)*gamma(-1/3)*hyper((-1/3, -1/3), (2/3,), a**3*x**3*exp_polar(I*pi)/b)/(3*x*gamma(2/3)) - a*b*(1 + b/(a**3*x**3))**(1/3)*gamma(-4/3)/(3*x**3*gamma(-1/3))","C",0
2009,0,0,0,0.000000," ","integrate((a*x**2-3*b)/(-2*a*x**2+3*b)**(1/4)/(3*x**4-2*a*x**2+3*b),x)","\int \frac{a x^{2} - 3 b}{\sqrt[4]{- 2 a x^{2} + 3 b} \left(- 2 a x^{2} + 3 b + 3 x^{4}\right)}\, dx"," ",0,"Integral((a*x**2 - 3*b)/((-2*a*x**2 + 3*b)**(1/4)*(-2*a*x**2 + 3*b + 3*x**4)), x)","F",0
2010,0,0,0,0.000000," ","integrate((a*x**5-4*b)*(a*x**5-c*x**4+b)/x**2/(a*x**5+b)**(3/4)/(a*x**5+c*x**4+b),x)","\int \frac{\left(a x^{5} - 4 b\right) \left(a x^{5} + b - c x^{4}\right)}{x^{2} \left(a x^{5} + b\right)^{\frac{3}{4}} \left(a x^{5} + b + c x^{4}\right)}\, dx"," ",0,"Integral((a*x**5 - 4*b)*(a*x**5 + b - c*x**4)/(x**2*(a*x**5 + b)**(3/4)*(a*x**5 + b + c*x**4)), x)","F",0
2011,0,0,0,0.000000," ","integrate((x**3-1)*(x**6+1)**(2/3)*(x**6-x**3+1)/x**6/(x**3+1),x)","\int \frac{\left(\left(x^{2} + 1\right) \left(x^{4} - x^{2} + 1\right)\right)^{\frac{2}{3}} \left(x - 1\right) \left(x^{2} + x + 1\right) \left(x^{6} - x^{3} + 1\right)}{x^{6} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(((x**2 + 1)*(x**4 - x**2 + 1))**(2/3)*(x - 1)*(x**2 + x + 1)*(x**6 - x**3 + 1)/(x**6*(x + 1)*(x**2 - x + 1)), x)","F",0
2012,0,0,0,0.000000," ","integrate((a*x**2-b**2)**2*(b+(a*x**2+b**2)**(1/2))**(1/2)/(a*x**2+b**2)**2,x)","\int \frac{\sqrt{b + \sqrt{a x^{2} + b^{2}}} \left(a x^{2} - b^{2}\right)^{2}}{\left(a x^{2} + b^{2}\right)^{2}}\, dx"," ",0,"Integral(sqrt(b + sqrt(a*x**2 + b**2))*(a*x**2 - b**2)**2/(a*x**2 + b**2)**2, x)","F",0
2013,0,0,0,0.000000," ","integrate((x**3+2)*(2*x**3+1)**(2/3)/x**6/(x**3-1),x)","\int \frac{\left(x^{3} + 2\right) \left(2 x^{3} + 1\right)^{\frac{2}{3}}}{x^{6} \left(x - 1\right) \left(x^{2} + x + 1\right)}\, dx"," ",0,"Integral((x**3 + 2)*(2*x**3 + 1)**(2/3)/(x**6*(x - 1)*(x**2 + x + 1)), x)","F",0
2014,0,0,0,0.000000," ","integrate((x**2-4)*(-2*x**4-x**2+2)**(1/4)/x**2/(x**2-2),x)","\int \frac{\left(x - 2\right) \left(x + 2\right) \sqrt[4]{- 2 x^{4} - x^{2} + 2}}{x^{2} \left(x^{2} - 2\right)}\, dx"," ",0,"Integral((x - 2)*(x + 2)*(-2*x**4 - x**2 + 2)**(1/4)/(x**2*(x**2 - 2)), x)","F",0
2015,0,0,0,0.000000," ","integrate(1/(1+x)/(-x**4+x**2+2*x-2)**(3/2),x)","\int \frac{1}{\left(- \left(x - 1\right)^{2} \left(x^{2} + 2 x + 2\right)\right)^{\frac{3}{2}} \left(x + 1\right)}\, dx"," ",0,"Integral(1/((-(x - 1)**2*(x**2 + 2*x + 2))**(3/2)*(x + 1)), x)","F",0
2016,-1,0,0,0.000000," ","integrate((2*x**4-3)*(2*x**4+1)**(2/3)/x**3/(4*x**4-x**3+2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2017,0,0,0,0.000000," ","integrate((a*x**3-b)/x**6/(a*x**3+b)/(a*x**4-b*x)**(1/4),x)","\int \frac{a x^{3} - b}{x^{6} \sqrt[4]{x \left(a x^{3} - b\right)} \left(a x^{3} + b\right)}\, dx"," ",0,"Integral((a*x**3 - b)/(x**6*(x*(a*x**3 - b))**(1/4)*(a*x**3 + b)), x)","F",0
2018,0,0,0,0.000000," ","integrate((x**3-1)**(2/3)*(x**6+4*x**3+4)/x**9/(x**3+1),x)","\int \frac{\left(\left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{2}{3}} \left(x^{3} + 2\right)^{2}}{x^{9} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(((x - 1)*(x**2 + x + 1))**(2/3)*(x**3 + 2)**2/(x**9*(x + 1)*(x**2 - x + 1)), x)","F",0
2019,0,0,0,0.000000," ","integrate((x**3+1)**(2/3)*(2*x**6-2*x**3-1)/x**9/(x**3-1),x)","\int \frac{\left(\left(x + 1\right) \left(x^{2} - x + 1\right)\right)^{\frac{2}{3}} \left(2 x^{6} - 2 x^{3} - 1\right)}{x^{9} \left(x - 1\right) \left(x^{2} + x + 1\right)}\, dx"," ",0,"Integral(((x + 1)*(x**2 - x + 1))**(2/3)*(2*x**6 - 2*x**3 - 1)/(x**9*(x - 1)*(x**2 + x + 1)), x)","F",0
2020,0,0,0,0.000000," ","integrate(1/(a**4*x**4-b**4)**(1/4)/(a**8*x**8-b**8-c*x**4),x)","\int \frac{1}{\sqrt[4]{\left(a x - b\right) \left(a x + b\right) \left(a^{2} x^{2} + b^{2}\right)} \left(a^{8} x^{8} - b^{8} - c x^{4}\right)}\, dx"," ",0,"Integral(1/(((a*x - b)*(a*x + b)*(a**2*x**2 + b**2))**(1/4)*(a**8*x**8 - b**8 - c*x**4)), x)","F",0
2021,0,0,0,0.000000," ","integrate(1/(a**4*x**4-b**4)**(1/4)/(a**8*x**8-b**8-c*x**4),x)","\int \frac{1}{\sqrt[4]{\left(a x - b\right) \left(a x + b\right) \left(a^{2} x^{2} + b^{2}\right)} \left(a^{8} x^{8} - b^{8} - c x^{4}\right)}\, dx"," ",0,"Integral(1/(((a*x - b)*(a*x + b)*(a**2*x**2 + b**2))**(1/4)*(a**8*x**8 - b**8 - c*x**4)), x)","F",0
2022,0,0,0,0.000000," ","integrate((x-(x**2+1)**(1/2))/(1+(x**2+1)**(1/2))**(1/2),x)","\int \frac{x - \sqrt{x^{2} + 1}}{\sqrt{\sqrt{x^{2} + 1} + 1}}\, dx"," ",0,"Integral((x - sqrt(x**2 + 1))/sqrt(sqrt(x**2 + 1) + 1), x)","F",0
2023,0,0,0,0.000000," ","integrate((x**3-4)*(x**3-2)*(x**3-1)**(2/3)/x**9/(3*x**3-2),x)","\int \frac{\left(\left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{2}{3}} \left(x^{3} - 4\right) \left(x^{3} - 2\right)}{x^{9} \left(3 x^{3} - 2\right)}\, dx"," ",0,"Integral(((x - 1)*(x**2 + x + 1))**(2/3)*(x**3 - 4)*(x**3 - 2)/(x**9*(3*x**3 - 2)), x)","F",0
2024,0,0,0,0.000000," ","integrate(1/(-1+x)/(x**4-3*x**3-2*x**2)**(3/2),x)","\int \frac{1}{\left(x^{2} \left(x^{2} - 3 x - 2\right)\right)^{\frac{3}{2}} \left(x - 1\right)}\, dx"," ",0,"Integral(1/((x**2*(x**2 - 3*x - 2))**(3/2)*(x - 1)), x)","F",0
2025,0,0,0,0.000000," ","integrate(1/(2*a*x**3+b)/(a*x**4+b*x)**(1/4),x)","\int \frac{1}{\sqrt[4]{x \left(a x^{3} + b\right)} \left(2 a x^{3} + b\right)}\, dx"," ",0,"Integral(1/((x*(a*x**3 + b))**(1/4)*(2*a*x**3 + b)), x)","F",0
2026,-1,0,0,0.000000," ","integrate((-x**7+1)**(1/3)*(2*x**7+x**3-2)*(4*x**7+3)/x**2/(x**7-1)/(4*x**7+x**3-4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2027,-2,0,0,0.000000," ","integrate((x**2-1)*(x**2+1)**3*((x**2+1)**2)**(1/2)/(x**4+1)/(x**8-x**6+x**4-x**2+1),x)","\text{Exception raised: SympifyError}"," ",0,"Exception raised: SympifyError","F(-2)",0
2028,1,46,0,0.992889," ","integrate(1/x**2/(b+(a*x**2+b**2)**(1/2))**(1/2),x)","- \frac{\Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right) {{}_{3}F_{2}\left(\begin{matrix} - \frac{1}{2}, \frac{1}{4}, \frac{3}{4} \\ \frac{1}{2}, \frac{3}{2} \end{matrix}\middle| {\frac{a x^{2} e^{i \pi}}{b^{2}}} \right)}}{2 \pi \sqrt{b} x}"," ",0,"-gamma(1/4)*gamma(3/4)*hyper((-1/2, 1/4, 3/4), (1/2, 3/2), a*x**2*exp_polar(I*pi)/b**2)/(2*pi*sqrt(b)*x)","C",0
2029,1,48,0,0.969228," ","integrate((a*x**3-b)**(1/4)/x,x)","- \frac{\sqrt[4]{a} x^{\frac{3}{4}} \Gamma\left(- \frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{4}, - \frac{1}{4} \\ \frac{3}{4} \end{matrix}\middle| {\frac{b e^{2 i \pi}}{a x^{3}}} \right)}}{3 \Gamma\left(\frac{3}{4}\right)}"," ",0,"-a**(1/4)*x**(3/4)*gamma(-1/4)*hyper((-1/4, -1/4), (3/4,), b*exp_polar(2*I*pi)/(a*x**3))/(3*gamma(3/4))","C",0
2030,1,48,0,1.085699," ","integrate((a*x**3-b)**(3/4)/x,x)","- \frac{a^{\frac{3}{4}} x^{\frac{9}{4}} \Gamma\left(- \frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, - \frac{3}{4} \\ \frac{1}{4} \end{matrix}\middle| {\frac{b e^{2 i \pi}}{a x^{3}}} \right)}}{3 \Gamma\left(\frac{1}{4}\right)}"," ",0,"-a**(3/4)*x**(9/4)*gamma(-3/4)*hyper((-3/4, -3/4), (1/4,), b*exp_polar(2*I*pi)/(a*x**3))/(3*gamma(1/4))","C",0
2031,-1,0,0,0.000000," ","integrate((x**4-1)**(2/3)*(x**4+3)*(x**4-x**3-1)/x**6/(2*x**4-x**3-2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2032,1,46,0,1.062348," ","integrate((a*x**4-b)**(3/4)/x,x)","- \frac{a^{\frac{3}{4}} x^{3} \Gamma\left(- \frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, - \frac{3}{4} \\ \frac{1}{4} \end{matrix}\middle| {\frac{b e^{2 i \pi}}{a x^{4}}} \right)}}{4 \Gamma\left(\frac{1}{4}\right)}"," ",0,"-a**(3/4)*x**3*gamma(-3/4)*hyper((-3/4, -3/4), (1/4,), b*exp_polar(2*I*pi)/(a*x**4))/(4*gamma(1/4))","C",0
2033,-1,0,0,0.000000," ","integrate((-3*a*b**3+2*b**2*(3*a+b)*x-3*b*(a+b)*x**2+x**4)/(x*(-a+x)*(-b+x)**3)**(1/4)/(a*b**3*d-b**2*(3*a+b)*d*x+3*b*(a+b)*d*x**2-(a*d+3*b*d+1)*x**3+d*x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2034,1,48,0,1.078793," ","integrate((a*x**5-b)**(3/4)/x,x)","- \frac{a^{\frac{3}{4}} x^{\frac{15}{4}} \Gamma\left(- \frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, - \frac{3}{4} \\ \frac{1}{4} \end{matrix}\middle| {\frac{b e^{2 i \pi}}{a x^{5}}} \right)}}{5 \Gamma\left(\frac{1}{4}\right)}"," ",0,"-a**(3/4)*x**(15/4)*gamma(-3/4)*hyper((-3/4, -3/4), (1/4,), b*exp_polar(2*I*pi)/(a*x**5))/(5*gamma(1/4))","C",0
2035,0,0,0,0.000000," ","integrate((x**3-1)**(2/3)*(x**6+x**3+4)/x**9/(x**3-2),x)","\int \frac{\left(\left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{2}{3}} \left(x^{6} + x^{3} + 4\right)}{x^{9} \left(x^{3} - 2\right)}\, dx"," ",0,"Integral(((x - 1)*(x**2 + x + 1))**(2/3)*(x**6 + x**3 + 4)/(x**9*(x**3 - 2)), x)","F",0
2036,0,0,0,0.000000," ","integrate((3*x**6-4*x-3)/(x**6+2*x+1)/(x**6+2*x**3+2*x+1)**(1/3),x)","\int \frac{3 x^{6} - 4 x - 3}{\sqrt[3]{\left(x^{2} + 1\right) \left(x^{4} - x^{2} + 2 x + 1\right)} \left(x + 1\right) \left(x^{5} - x^{4} + x^{3} - x^{2} + x + 1\right)}\, dx"," ",0,"Integral((3*x**6 - 4*x - 3)/(((x**2 + 1)*(x**4 - x**2 + 2*x + 1))**(1/3)*(x + 1)*(x**5 - x**4 + x**3 - x**2 + x + 1)), x)","F",0
2037,1,48,0,1.082339," ","integrate((a*x**6-b)**(3/4)/x,x)","- \frac{a^{\frac{3}{4}} x^{\frac{9}{2}} \Gamma\left(- \frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, - \frac{3}{4} \\ \frac{1}{4} \end{matrix}\middle| {\frac{b e^{2 i \pi}}{a x^{6}}} \right)}}{6 \Gamma\left(\frac{1}{4}\right)}"," ",0,"-a**(3/4)*x**(9/2)*gamma(-3/4)*hyper((-3/4, -3/4), (1/4,), b*exp_polar(2*I*pi)/(a*x**6))/(6*gamma(1/4))","C",0
2038,0,0,0,0.000000," ","integrate((a*x**6+b)/(x**3-x)**(1/3),x)","\int \frac{a x^{6} + b}{\sqrt[3]{x \left(x - 1\right) \left(x + 1\right)}}\, dx"," ",0,"Integral((a*x**6 + b)/(x*(x - 1)*(x + 1))**(1/3), x)","F",0
2039,0,0,0,0.000000," ","integrate((a*x**2+b*x*(-a/b**2+a**2*x**2/b**2)**(1/2))**(1/4)/(-a/b**2+a**2*x**2/b**2)**(1/2),x)","\int \frac{\sqrt[4]{x \left(a x + b \sqrt{\frac{a^{2} x^{2}}{b^{2}} - \frac{a}{b^{2}}}\right)}}{\sqrt{\frac{a \left(a x^{2} - 1\right)}{b^{2}}}}\, dx"," ",0,"Integral((x*(a*x + b*sqrt(a**2*x**2/b**2 - a/b**2)))**(1/4)/sqrt(a*(a*x**2 - 1)/b**2), x)","F",0
2040,0,0,0,0.000000," ","integrate(1/(x**2*(-a+x))**(1/3)/(a+(-1+d)*x),x)","\int \frac{1}{\sqrt[3]{x^{2} \left(- a + x\right)} \left(a + d x - x\right)}\, dx"," ",0,"Integral(1/((x**2*(-a + x))**(1/3)*(a + d*x - x)), x)","F",0
2041,0,0,0,0.000000," ","integrate((-x**4-x**3+x+2)**(2/3)*(x**4+2*x+6)*(x**4+x**3-x-2)/x**6/(x**4+2*x**3-x-2),x)","\int \frac{\left(x^{4} + 2 x + 6\right) \left(- x^{4} - x^{3} + x + 2\right)^{\frac{2}{3}} \left(x^{4} + x^{3} - x - 2\right)}{x^{6} \left(x - 1\right) \left(x + 2\right) \left(x^{2} + x + 1\right)}\, dx"," ",0,"Integral((x**4 + 2*x + 6)*(-x**4 - x**3 + x + 2)**(2/3)*(x**4 + x**3 - x - 2)/(x**6*(x - 1)*(x + 2)*(x**2 + x + 1)), x)","F",0
2042,-1,0,0,0.000000," ","integrate((x**4-3)*(x**4+1)**(2/3)*(2*x**4+x**3+2)/x**6/(4*x**4-x**3+4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2043,-1,0,0,0.000000," ","integrate((2*x**6-x**4-1)*(x**7-x**5+x)**(1/3)/(x**6-x**4+x**2+1)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2044,-1,0,0,0.000000," ","integrate(x**4*(a*x**3-4*b)/(a*x**3-b)**(1/4)/(-a**2*x**6+x**8+2*a*b*x**3-b**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2045,0,0,0,0.000000," ","integrate((x**2-1)**(1/2)*(x**2+x*(x**2-1)**(1/2))**(1/2)/(x**2+1),x)","\int \frac{\sqrt{x \left(x + \sqrt{x^{2} - 1}\right)} \sqrt{\left(x - 1\right) \left(x + 1\right)}}{x^{2} + 1}\, dx"," ",0,"Integral(sqrt(x*(x + sqrt(x**2 - 1)))*sqrt((x - 1)*(x + 1))/(x**2 + 1), x)","F",0
2046,0,0,0,0.000000," ","integrate(x/(x**2*(-a+x))**(2/3)/(a+(-1+d)*x),x)","\int \frac{x}{\left(x^{2} \left(- a + x\right)\right)^{\frac{2}{3}} \left(a + d x - x\right)}\, dx"," ",0,"Integral(x/((x**2*(-a + x))**(2/3)*(a + d*x - x)), x)","F",0
2047,0,0,0,0.000000," ","integrate((x**2+x+2)/(x**2+2*x+3)/(x**3+x**2)**(1/3),x)","\int \frac{x^{2} + x + 2}{\sqrt[3]{x^{2} \left(x + 1\right)} \left(x^{2} + 2 x + 3\right)}\, dx"," ",0,"Integral((x**2 + x + 2)/((x**2*(x + 1))**(1/3)*(x**2 + 2*x + 3)), x)","F",0
2048,0,0,0,0.000000," ","integrate((x**2+x+2)/(x**2+2*x+3)/(x**3+x**2)**(1/3),x)","\int \frac{x^{2} + x + 2}{\sqrt[3]{x^{2} \left(x + 1\right)} \left(x^{2} + 2 x + 3\right)}\, dx"," ",0,"Integral((x**2 + x + 2)/((x**2*(x + 1))**(1/3)*(x**2 + 2*x + 3)), x)","F",0
2049,0,0,0,0.000000," ","integrate((a*x**2-c*x+b)/(a*x**2-b)/(a*x**3+b*x)**(1/2),x)","\int \frac{a x^{2} + b - c x}{\sqrt{x \left(a x^{2} + b\right)} \left(a x^{2} - b\right)}\, dx"," ",0,"Integral((a*x**2 + b - c*x)/(sqrt(x*(a*x**2 + b))*(a*x**2 - b)), x)","F",0
2050,0,0,0,0.000000," ","integrate((a*x**2+c*x+b)/(a*x**2-b)/(a*x**3+b*x)**(1/2),x)","\int \frac{a x^{2} + b + c x}{\sqrt{x \left(a x^{2} + b\right)} \left(a x^{2} - b\right)}\, dx"," ",0,"Integral((a*x**2 + b + c*x)/(sqrt(x*(a*x**2 + b))*(a*x**2 - b)), x)","F",0
2051,0,0,0,0.000000," ","integrate((1+x)*(x**4-x**3)**(1/4)/(x**2-x+1),x)","\int \frac{\sqrt[4]{x^{3} \left(x - 1\right)} \left(x + 1\right)}{x^{2} - x + 1}\, dx"," ",0,"Integral((x**3*(x - 1))**(1/4)*(x + 1)/(x**2 - x + 1), x)","F",0
2052,0,0,0,0.000000," ","integrate((1+x)*(x**4-x**3)**(1/4)/(x**2-x+1),x)","\int \frac{\sqrt[4]{x^{3} \left(x - 1\right)} \left(x + 1\right)}{x^{2} - x + 1}\, dx"," ",0,"Integral((x**3*(x - 1))**(1/4)*(x + 1)/(x**2 - x + 1), x)","F",0
2053,-1,0,0,0.000000," ","integrate((-a*x**6+b)**(1/3)*(a*x**6+b)/x**2/(a*x**6+c*x**3-b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2054,0,0,0,0.000000," ","integrate(x**2*(7*x**3+4)/(x**4+x)**(1/3)/(x**7+x**4-1),x)","\int \frac{x^{2} \left(7 x^{3} + 4\right)}{\sqrt[3]{x \left(x + 1\right) \left(x^{2} - x + 1\right)} \left(x^{7} + x^{4} - 1\right)}\, dx"," ",0,"Integral(x**2*(7*x**3 + 4)/((x*(x + 1)*(x**2 - x + 1))**(1/3)*(x**7 + x**4 - 1)), x)","F",0
2055,0,0,0,0.000000," ","integrate((c*x**4+2*d)/(a*x**4-b)**(1/4)/(e*x**8-2*f),x)","\int \frac{c x^{4} + 2 d}{\sqrt[4]{a x^{4} - b} \left(e x^{8} - 2 f\right)}\, dx"," ",0,"Integral((c*x**4 + 2*d)/((a*x**4 - b)**(1/4)*(e*x**8 - 2*f)), x)","F",0
2056,0,0,0,0.000000," ","integrate((1+x)**(1/2)*(x**2+1)/(x**2-1)/(x+(1+x)**(1/2))**(1/2),x)","\int \frac{x^{2} + 1}{\left(x - 1\right) \sqrt{x + 1} \sqrt{x + \sqrt{x + 1}}}\, dx"," ",0,"Integral((x**2 + 1)/((x - 1)*sqrt(x + 1)*sqrt(x + sqrt(x + 1))), x)","F",0
2057,0,0,0,0.000000," ","integrate((1+x)**(1/2)*(x**2+1)/(x**2-1)/(x+(1+x)**(1/2))**(1/2),x)","\int \frac{x^{2} + 1}{\left(x - 1\right) \sqrt{x + 1} \sqrt{x + \sqrt{x + 1}}}\, dx"," ",0,"Integral((x**2 + 1)/((x - 1)*sqrt(x + 1)*sqrt(x + sqrt(x + 1))), x)","F",0
2058,0,0,0,0.000000," ","integrate((x-(x**2-1)**(1/2))**(1/2)/x**2,x)","\int \frac{\sqrt{x - \sqrt{x^{2} - 1}}}{x^{2}}\, dx"," ",0,"Integral(sqrt(x - sqrt(x**2 - 1))/x**2, x)","F",0
2059,0,0,0,0.000000," ","integrate((a*x+(a**2*x**2-b*x)**(1/2))**(3/4)/(a**2*x**2-b*x)**(1/2),x)","\int \frac{\left(a x + \sqrt{a^{2} x^{2} - b x}\right)^{\frac{3}{4}}}{\sqrt{x \left(a^{2} x - b\right)}}\, dx"," ",0,"Integral((a*x + sqrt(a**2*x**2 - b*x))**(3/4)/sqrt(x*(a**2*x - b)), x)","F",0
2060,0,0,0,0.000000," ","integrate((1+x)*(x**4+x**3)**(1/4)/x/(x**3-1),x)","\int \frac{\sqrt[4]{x^{3} \left(x + 1\right)} \left(x + 1\right)}{x \left(x - 1\right) \left(x^{2} + x + 1\right)}\, dx"," ",0,"Integral((x**3*(x + 1))**(1/4)*(x + 1)/(x*(x - 1)*(x**2 + x + 1)), x)","F",0
2061,0,0,0,0.000000," ","integrate((a*x**4-b*x**3)**(1/4)*(c*x**4-d)/x**4,x)","\int \frac{\sqrt[4]{x^{3} \left(a x - b\right)} \left(c x^{4} - d\right)}{x^{4}}\, dx"," ",0,"Integral((x**3*(a*x - b))**(1/4)*(c*x**4 - d)/x**4, x)","F",0
2062,0,0,0,0.000000," ","integrate((x**3+1)**(2/3)*(x**3+2)/x**6/(x**3+4),x)","\int \frac{\left(\left(x + 1\right) \left(x^{2} - x + 1\right)\right)^{\frac{2}{3}} \left(x^{3} + 2\right)}{x^{6} \left(x^{3} + 4\right)}\, dx"," ",0,"Integral(((x + 1)*(x**2 - x + 1))**(2/3)*(x**3 + 2)/(x**6*(x**3 + 4)), x)","F",0
2063,0,0,0,0.000000," ","integrate((x**3-1)*(3*x**3+1)**(2/3)/x**6/(x**3+1),x)","\int \frac{\left(x - 1\right) \left(3 x^{3} + 1\right)^{\frac{2}{3}} \left(x^{2} + x + 1\right)}{x^{6} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral((x - 1)*(3*x**3 + 1)**(2/3)*(x**2 + x + 1)/(x**6*(x + 1)*(x**2 - x + 1)), x)","F",0
2064,-1,0,0,0.000000," ","integrate((-12*x**4+8*x**2-8*x+3)/x/((-2*x**2+1)/(2*x**2+1))**(1/3)/(2*x**2+1)/(2*x**4-6*x**3+7*x**2-7*x+3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2065,0,0,0,0.000000," ","integrate(x**2/(a*x**3+b*x)**(1/2)/(a**2*x**4-b**2),x)","\int \frac{x^{2}}{\sqrt{x \left(a x^{2} + b\right)} \left(a x^{2} - b\right) \left(a x^{2} + b\right)}\, dx"," ",0,"Integral(x**2/(sqrt(x*(a*x**2 + b))*(a*x**2 - b)*(a*x**2 + b)), x)","F",0
2066,0,0,0,0.000000," ","integrate((a*x**6+b)/x**6/(a*x**3-b)/(a*x**4+b*x)**(1/4),x)","\int \frac{a x^{6} + b}{x^{6} \sqrt[4]{x \left(a x^{3} + b\right)} \left(a x^{3} - b\right)}\, dx"," ",0,"Integral((a*x**6 + b)/(x**6*(x*(a*x**3 + b))**(1/4)*(a*x**3 - b)), x)","F",0
2067,0,0,0,0.000000," ","integrate((x**8+2*x**3-1)**(1/3)*(5*x**8+3)/x**2/(x**8-1),x)","\int \frac{\left(5 x^{8} + 3\right) \sqrt[3]{x^{8} + 2 x^{3} - 1}}{x^{2} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \left(x^{4} + 1\right)}\, dx"," ",0,"Integral((5*x**8 + 3)*(x**8 + 2*x**3 - 1)**(1/3)/(x**2*(x - 1)*(x + 1)*(x**2 + 1)*(x**4 + 1)), x)","F",0
2068,0,0,0,0.000000," ","integrate((a*x**2+b**2)**(1/2)/(b+(a*x**2+b**2)**(1/2))**(1/2),x)","\int \frac{\sqrt{a x^{2} + b^{2}}}{\sqrt{b + \sqrt{a x^{2} + b^{2}}}}\, dx"," ",0,"Integral(sqrt(a*x**2 + b**2)/sqrt(b + sqrt(a*x**2 + b**2)), x)","F",0
2069,0,0,0,0.000000," ","integrate((b+(a*x**2+b**2)**(1/2))**(1/2)/(a*x**2+b**2)**3,x)","\int \frac{\sqrt{b + \sqrt{a x^{2} + b^{2}}}}{\left(a x^{2} + b^{2}\right)^{3}}\, dx"," ",0,"Integral(sqrt(b + sqrt(a*x**2 + b**2))/(a*x**2 + b**2)**3, x)","F",0
2070,1,44,0,1.176350," ","integrate((a*x**2-b)**(3/4)/x**3,x)","- \frac{a^{\frac{3}{4}} \Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, \frac{1}{4} \\ \frac{5}{4} \end{matrix}\middle| {\frac{b e^{2 i \pi}}{a x^{2}}} \right)}}{2 \sqrt{x} \Gamma\left(\frac{5}{4}\right)}"," ",0,"-a**(3/4)*gamma(1/4)*hyper((-3/4, 1/4), (5/4,), b*exp_polar(2*I*pi)/(a*x**2))/(2*sqrt(x)*gamma(5/4))","C",0
2071,0,0,0,0.000000," ","integrate((x**3+1)*(2*x**3-1)**(2/3)/x**6/(2*x**3+1),x)","\int \frac{\left(x + 1\right) \left(2 x^{3} - 1\right)^{\frac{2}{3}} \left(x^{2} - x + 1\right)}{x^{6} \left(2 x^{3} + 1\right)}\, dx"," ",0,"Integral((x + 1)*(2*x**3 - 1)**(2/3)*(x**2 - x + 1)/(x**6*(2*x**3 + 1)), x)","F",0
2072,0,0,0,0.000000," ","integrate((-x**3+1)**(2/3)*(4*x**3-1)/x**6/(3*x**3-2),x)","\int \frac{\left(- \left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{2}{3}} \left(4 x^{3} - 1\right)}{x^{6} \left(3 x^{3} - 2\right)}\, dx"," ",0,"Integral((-(x - 1)*(x**2 + x + 1))**(2/3)*(4*x**3 - 1)/(x**6*(3*x**3 - 2)), x)","F",0
2073,1,44,0,1.134686," ","integrate((a*x**3-b)**(1/4)/x**4,x)","- \frac{\sqrt[4]{a} \Gamma\left(\frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{4}, \frac{3}{4} \\ \frac{7}{4} \end{matrix}\middle| {\frac{b e^{2 i \pi}}{a x^{3}}} \right)}}{3 x^{\frac{9}{4}} \Gamma\left(\frac{7}{4}\right)}"," ",0,"-a**(1/4)*gamma(3/4)*hyper((-1/4, 3/4), (7/4,), b*exp_polar(2*I*pi)/(a*x**3))/(3*x**(9/4)*gamma(7/4))","C",0
2074,1,44,0,1.227588," ","integrate((a*x**3-b)**(3/4)/x**4,x)","- \frac{a^{\frac{3}{4}} \Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, \frac{1}{4} \\ \frac{5}{4} \end{matrix}\middle| {\frac{b e^{2 i \pi}}{a x^{3}}} \right)}}{3 x^{\frac{3}{4}} \Gamma\left(\frac{5}{4}\right)}"," ",0,"-a**(3/4)*gamma(1/4)*hyper((-3/4, 1/4), (5/4,), b*exp_polar(2*I*pi)/(a*x**3))/(3*x**(3/4)*gamma(5/4))","C",0
2075,-1,0,0,0.000000," ","integrate((-a+x)*(-3*a*b+(a+2*b)*x)*(-b**3+3*b**2*x-3*b*x**2+x**3)/x/(x*(-a+x)*(-b+x)**2)**(3/4)/(a*b**2-b*(2*a+b)*x+(a+2*b)*x**2+(-1+d)*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2076,1,44,0,1.350761," ","integrate((a*x**5-b)**(3/4)/x**6,x)","- \frac{a^{\frac{3}{4}} \Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, \frac{1}{4} \\ \frac{5}{4} \end{matrix}\middle| {\frac{b e^{2 i \pi}}{a x^{5}}} \right)}}{5 x^{\frac{5}{4}} \Gamma\left(\frac{5}{4}\right)}"," ",0,"-a**(3/4)*gamma(1/4)*hyper((-3/4, 1/4), (5/4,), b*exp_polar(2*I*pi)/(a*x**5))/(5*x**(5/4)*gamma(5/4))","C",0
2077,1,44,0,1.427569," ","integrate((a*x**6-b)**(3/4)/x**7,x)","- \frac{a^{\frac{3}{4}} \Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, \frac{1}{4} \\ \frac{5}{4} \end{matrix}\middle| {\frac{b e^{2 i \pi}}{a x^{6}}} \right)}}{6 x^{\frac{3}{2}} \Gamma\left(\frac{5}{4}\right)}"," ",0,"-a**(3/4)*gamma(1/4)*hyper((-3/4, 1/4), (5/4,), b*exp_polar(2*I*pi)/(a*x**6))/(6*x**(3/2)*gamma(5/4))","C",0
2078,-1,0,0,0.000000," ","integrate((5*x**7-4)*(-x**8+2*x**3-2*x)**(1/3)/(x**7+2)/(x**7-2*x**2+2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2079,-1,0,0,0.000000," ","integrate((2*x**8-2*a*x**4+b)/(a*x**4+b)**(1/4)/(x**8-a*x**4-2*b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2080,-1,0,0,0.000000," ","integrate((2*x**8+2*a*x**4-b)/(a*x**4+b)**(1/4)/(x**8+a*x**4-b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2081,-1,0,0,0.000000," ","integrate((2*x**8+2*a*x**4-b)/(a*x**4+b)**(1/4)/(x**8+a*x**4-b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2082,0,0,0,0.000000," ","integrate((a**4*x**4-b**4)**(1/2)*(a**4*x**4+b**4)/(a**8*x**8+b**8),x)","\int \frac{\sqrt{\left(a x - b\right) \left(a x + b\right) \left(a^{2} x^{2} + b^{2}\right)} \left(a^{4} x^{4} + b^{4}\right)}{a^{8} x^{8} + b^{8}}\, dx"," ",0,"Integral(sqrt((a*x - b)*(a*x + b)*(a**2*x**2 + b**2))*(a**4*x**4 + b**4)/(a**8*x**8 + b**8), x)","F",0
2083,0,0,0,0.000000," ","integrate((a**8*x**8-b**8)/(a**4*x**4-b**4)**(1/2)/(a**8*x**8+b**8),x)","\int \frac{\left(a x - b\right) \left(a x + b\right) \left(a^{2} x^{2} + b^{2}\right) \left(a^{4} x^{4} + b^{4}\right)}{\sqrt{\left(a x - b\right) \left(a x + b\right) \left(a^{2} x^{2} + b^{2}\right)} \left(a^{8} x^{8} + b^{8}\right)}\, dx"," ",0,"Integral((a*x - b)*(a*x + b)*(a**2*x**2 + b**2)*(a**4*x**4 + b**4)/(sqrt((a*x - b)*(a*x + b)*(a**2*x**2 + b**2))*(a**8*x**8 + b**8)), x)","F",0
2084,0,0,0,0.000000," ","integrate(x**3*(x**2+x)**(1/2)/(x**2+x*(x**2+x)**(1/2))**(1/2),x)","\int \frac{x^{3} \sqrt{x \left(x + 1\right)}}{\sqrt{x \left(x + \sqrt{x^{2} + x}\right)}}\, dx"," ",0,"Integral(x**3*sqrt(x*(x + 1))/sqrt(x*(x + sqrt(x**2 + x))), x)","F",0
2085,1,80,0,10.019371," ","integrate((a*x**2-b)**(3/4)*(2*a*x**2+3*b)/x,x)","- \frac{3 a^{\frac{3}{4}} b x^{\frac{3}{2}} \Gamma\left(- \frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, - \frac{3}{4} \\ \frac{1}{4} \end{matrix}\middle| {\frac{b e^{2 i \pi}}{a x^{2}}} \right)}}{2 \Gamma\left(\frac{1}{4}\right)} + 2 a \left(\begin{cases} \frac{x^{2} \left(- b\right)^{\frac{3}{4}}}{2} & \text{for}\: a = 0 \\\frac{2 \left(a x^{2} - b\right)^{\frac{7}{4}}}{7 a} & \text{otherwise} \end{cases}\right)"," ",0,"-3*a**(3/4)*b*x**(3/2)*gamma(-3/4)*hyper((-3/4, -3/4), (1/4,), b*exp_polar(2*I*pi)/(a*x**2))/(2*gamma(1/4)) + 2*a*Piecewise((x**2*(-b)**(3/4)/2, Eq(a, 0)), (2*(a*x**2 - b)**(7/4)/(7*a), True))","A",0
2086,0,0,0,0.000000," ","integrate((x**2-6)*(x**3-x**2+2)**(2/3)/x**3/(x**3+x**2-2),x)","\int \frac{\left(\left(x + 1\right) \left(x^{2} - 2 x + 2\right)\right)^{\frac{2}{3}} \left(x^{2} - 6\right)}{x^{3} \left(x - 1\right) \left(x^{2} + 2 x + 2\right)}\, dx"," ",0,"Integral(((x + 1)*(x**2 - 2*x + 2))**(2/3)*(x**2 - 6)/(x**3*(x - 1)*(x**2 + 2*x + 2)), x)","F",0
2087,-1,0,0,0.000000," ","integrate(x**3*(-4*a+3*x)/(x**2*(-a+x))**(2/3)/(x**4+a*d-d*x),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2088,-1,0,0,0.000000," ","integrate((k**4*x**4-1)/((1-x)*x*(-k**2*x+1))**(1/2)/(k**4*x**4+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2089,0,0,0,0.000000," ","integrate((-x**4+1)/(x**4+1)/(x**5+x**3)**(1/4),x)","- \int \frac{x^{4}}{x^{4} \sqrt[4]{x^{5} + x^{3}} + \sqrt[4]{x^{5} + x^{3}}}\, dx - \int \left(- \frac{1}{x^{4} \sqrt[4]{x^{5} + x^{3}} + \sqrt[4]{x^{5} + x^{3}}}\right)\, dx"," ",0,"-Integral(x**4/(x**4*(x**5 + x**3)**(1/4) + (x**5 + x**3)**(1/4)), x) - Integral(-1/(x**4*(x**5 + x**3)**(1/4) + (x**5 + x**3)**(1/4)), x)","F",0
2090,0,0,0,0.000000," ","integrate((x**3+1)**(2/3)*(x**6+2)/x**6/(x**3-1)**2,x)","\int \frac{\left(\left(x + 1\right) \left(x^{2} - x + 1\right)\right)^{\frac{2}{3}} \left(x^{6} + 2\right)}{x^{6} \left(x - 1\right)^{2} \left(x^{2} + x + 1\right)^{2}}\, dx"," ",0,"Integral(((x + 1)*(x**2 - x + 1))**(2/3)*(x**6 + 2)/(x**6*(x - 1)**2*(x**2 + x + 1)**2), x)","F",0
2091,0,0,0,0.000000," ","integrate((x**3-1)**(2/3)*(x**6+2*x**3-2)/x**6/(x**3+1)**2,x)","\int \frac{\left(\left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{2}{3}} \left(x^{6} + 2 x^{3} - 2\right)}{x^{6} \left(x + 1\right)^{2} \left(x^{2} - x + 1\right)^{2}}\, dx"," ",0,"Integral(((x - 1)*(x**2 + x + 1))**(2/3)*(x**6 + 2*x**3 - 2)/(x**6*(x + 1)**2*(x**2 - x + 1)**2), x)","F",0
2092,-1,0,0,0.000000," ","integrate((a*x**6+2*b)*(a*x**6-c*x**4-b)/x**2/(a*x**6-b)**(3/4)/(a*x**6+c*x**4-b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2093,0,0,0,0.000000," ","integrate((c+d*(a*x**2+b)**(1/2))**(1/2)/x,x)","\int \frac{\sqrt{c + d \sqrt{a x^{2} + b}}}{x}\, dx"," ",0,"Integral(sqrt(c + d*sqrt(a*x**2 + b))/x, x)","F",0
2094,0,0,0,0.000000," ","integrate((a**2*x**4-b)*(a*x**2+(a**2*x**4+b)**(1/2))**(1/2)/(a**2*x**4+b)**(1/2),x)","\int \frac{\sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}} \left(a^{2} x^{4} - b\right)}{\sqrt{a^{2} x^{4} + b}}\, dx"," ",0,"Integral(sqrt(a*x**2 + sqrt(a**2*x**4 + b))*(a**2*x**4 - b)/sqrt(a**2*x**4 + b), x)","F",0
2095,0,0,0,0.000000," ","integrate((a**2*x**4+b)**(1/2)*(a*x**2+(a**2*x**4+b)**(1/2))**(1/2),x)","\int \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}} \sqrt{a^{2} x^{4} + b}\, dx"," ",0,"Integral(sqrt(a*x**2 + sqrt(a**2*x**4 + b))*sqrt(a**2*x**4 + b), x)","F",0
2096,0,0,0,0.000000," ","integrate(1/(a*x+2*b)/(a*x**3+b*x**2)**(1/4),x)","\int \frac{1}{\sqrt[4]{x^{2} \left(a x + b\right)} \left(a x + 2 b\right)}\, dx"," ",0,"Integral(1/((x**2*(a*x + b))**(1/4)*(a*x + 2*b)), x)","F",0
2097,-1,0,0,0.000000," ","integrate(x*(-4*a+3*x)/(x**2*(-a+x))**(1/3)/(x**4+a*d-d*x),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2098,0,0,0,0.000000," ","integrate((a*x**5-b)**(3/4)*(a*x**5+4*b)/x**4/(a*x**5+c*x**4-b),x)","\int \frac{\left(a x^{5} - b\right)^{\frac{3}{4}} \left(a x^{5} + 4 b\right)}{x^{4} \left(a x^{5} - b + c x^{4}\right)}\, dx"," ",0,"Integral((a*x**5 - b)**(3/4)*(a*x**5 + 4*b)/(x**4*(a*x**5 - b + c*x**4)), x)","F",0
2099,0,0,0,0.000000," ","integrate((x**8+1)**(3/4)/(x**8-1),x)","\int \frac{\left(x^{8} + 1\right)^{\frac{3}{4}}}{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \left(x^{4} + 1\right)}\, dx"," ",0,"Integral((x**8 + 1)**(3/4)/((x - 1)*(x + 1)*(x**2 + 1)*(x**4 + 1)), x)","F",0
2100,0,0,0,0.000000," ","integrate(x**4/(x**4-1)**(1/4)/(x**8+2*x**4-1),x)","\int \frac{x^{4}}{\sqrt[4]{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)} \left(x^{8} + 2 x^{4} - 1\right)}\, dx"," ",0,"Integral(x**4/(((x - 1)*(x + 1)*(x**2 + 1))**(1/4)*(x**8 + 2*x**4 - 1)), x)","F",0
2101,0,0,0,0.000000," ","integrate((x**4-1)**(3/4)/(x**8+2*x**4-1),x)","\int \frac{\left(\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)\right)^{\frac{3}{4}}}{x^{8} + 2 x^{4} - 1}\, dx"," ",0,"Integral(((x - 1)*(x + 1)*(x**2 + 1))**(3/4)/(x**8 + 2*x**4 - 1), x)","F",0
2102,0,0,0,0.000000," ","integrate((x**4+1)/(x**4-1)/(1+(x**2+1)**(1/2))**(1/2),x)","\int \frac{x^{4} + 1}{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \sqrt{\sqrt{x^{2} + 1} + 1}}\, dx"," ",0,"Integral((x**4 + 1)/((x - 1)*(x + 1)*(x**2 + 1)*sqrt(sqrt(x**2 + 1) + 1)), x)","F",0
2103,1,42,0,1.150027," ","integrate(1/x**3/(a*x**2-b)**(3/4),x)","- \frac{\Gamma\left(\frac{7}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{7}{4} \\ \frac{11}{4} \end{matrix}\middle| {\frac{b e^{2 i \pi}}{a x^{2}}} \right)}}{2 a^{\frac{3}{4}} x^{\frac{7}{2}} \Gamma\left(\frac{11}{4}\right)}"," ",0,"-gamma(7/4)*hyper((3/4, 7/4), (11/4,), b*exp_polar(2*I*pi)/(a*x**2))/(2*a**(3/4)*x**(7/2)*gamma(11/4))","C",0
2104,-1,0,0,0.000000," ","integrate((a*b-2*b*x+x**2)/(x*(-a+x)*(-b+x)**3)**(1/4)/(b-(a*d+1)*x+d*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2105,1,42,0,1.210052," ","integrate(1/x**4/(a*x**3-b)**(3/4),x)","- \frac{\Gamma\left(\frac{7}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{7}{4} \\ \frac{11}{4} \end{matrix}\middle| {\frac{b e^{2 i \pi}}{a x^{3}}} \right)}}{3 a^{\frac{3}{4}} x^{\frac{21}{4}} \Gamma\left(\frac{11}{4}\right)}"," ",0,"-gamma(7/4)*hyper((3/4, 7/4), (11/4,), b*exp_polar(2*I*pi)/(a*x**3))/(3*a**(3/4)*x**(21/4)*gamma(11/4))","C",0
2106,1,42,0,1.137417," ","integrate(1/x**4/(a*x**3-b)**(1/4),x)","- \frac{\Gamma\left(\frac{5}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{4}, \frac{5}{4} \\ \frac{9}{4} \end{matrix}\middle| {\frac{b e^{2 i \pi}}{a x^{3}}} \right)}}{3 \sqrt[4]{a} x^{\frac{15}{4}} \Gamma\left(\frac{9}{4}\right)}"," ",0,"-gamma(5/4)*hyper((1/4, 5/4), (9/4,), b*exp_polar(2*I*pi)/(a*x**3))/(3*a**(1/4)*x**(15/4)*gamma(9/4))","C",0
2107,-1,0,0,0.000000," ","integrate(1/2*(2+x)*(x**2-x-1)*((-2*x**2+x+1)/(4*x**2+x+1))**(1/4)/x/(x**4+x**2+2*x+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2108,0,0,0,0.000000," ","integrate((x**4+1)/(x**4-1)/(x**4+x**3-x**2-x+1)**(1/2),x)","\int \frac{x^{4} + 1}{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \sqrt{x^{4} + x^{3} - x^{2} - x + 1}}\, dx"," ",0,"Integral((x**4 + 1)/((x - 1)*(x + 1)*(x**2 + 1)*sqrt(x**4 + x**3 - x**2 - x + 1)), x)","F",0
2109,1,41,0,1.243170," ","integrate(1/x**5/(a*x**4-b)**(3/4),x)","- \frac{\Gamma\left(\frac{7}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{7}{4} \\ \frac{11}{4} \end{matrix}\middle| {\frac{b e^{2 i \pi}}{a x^{4}}} \right)}}{4 a^{\frac{3}{4}} x^{7} \Gamma\left(\frac{11}{4}\right)}"," ",0,"-gamma(7/4)*hyper((3/4, 7/4), (11/4,), b*exp_polar(2*I*pi)/(a*x**4))/(4*a**(3/4)*x**7*gamma(11/4))","C",0
2110,-1,0,0,0.000000," ","integrate((a*b**3-2*(3*a-b)*b**2*x+3*(3*a-b)*b*x**2-4*a*x**3+x**4)/(x*(-a+x)*(-b+x)**3)**(1/4)/(a**3-(b**3*d+3*a**2)*x+3*(b**2*d+a)*x**2-(3*b*d+1)*x**3+d*x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2111,1,42,0,1.342497," ","integrate(1/x**6/(a*x**5-b)**(3/4),x)","- \frac{\Gamma\left(\frac{7}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{7}{4} \\ \frac{11}{4} \end{matrix}\middle| {\frac{b e^{2 i \pi}}{a x^{5}}} \right)}}{5 a^{\frac{3}{4}} x^{\frac{35}{4}} \Gamma\left(\frac{11}{4}\right)}"," ",0,"-gamma(7/4)*hyper((3/4, 7/4), (11/4,), b*exp_polar(2*I*pi)/(a*x**5))/(5*a**(3/4)*x**(35/4)*gamma(11/4))","C",0
2112,1,42,0,1.409174," ","integrate(1/x**7/(a*x**6-b)**(3/4),x)","- \frac{\Gamma\left(\frac{7}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{7}{4} \\ \frac{11}{4} \end{matrix}\middle| {\frac{b e^{2 i \pi}}{a x^{6}}} \right)}}{6 a^{\frac{3}{4}} x^{\frac{21}{2}} \Gamma\left(\frac{11}{4}\right)}"," ",0,"-gamma(7/4)*hyper((3/4, 7/4), (11/4,), b*exp_polar(2*I*pi)/(a*x**6))/(6*a**(3/4)*x**(21/2)*gamma(11/4))","C",0
2113,0,0,0,0.000000," ","integrate((a**6*x**6+b**6)/(a**4*x**4+b**4)**(1/2)/(a**6*x**6-b**6),x)","\int \frac{\left(a^{2} x^{2} + b^{2}\right) \left(a^{4} x^{4} - a^{2} b^{2} x^{2} + b^{4}\right)}{\left(a x - b\right) \left(a x + b\right) \sqrt{a^{4} x^{4} + b^{4}} \left(a^{2} x^{2} - a b x + b^{2}\right) \left(a^{2} x^{2} + a b x + b^{2}\right)}\, dx"," ",0,"Integral((a**2*x**2 + b**2)*(a**4*x**4 - a**2*b**2*x**2 + b**4)/((a*x - b)*(a*x + b)*sqrt(a**4*x**4 + b**4)*(a**2*x**2 - a*b*x + b**2)*(a**2*x**2 + a*b*x + b**2)), x)","F",0
2114,0,0,0,0.000000," ","integrate((x**2-1)**(1/2)*(x**2+x*(x**2-1)**(1/2))**(1/2)/(1+x),x)","\int \frac{\sqrt{x \left(x + \sqrt{x^{2} - 1}\right)} \sqrt{\left(x - 1\right) \left(x + 1\right)}}{x + 1}\, dx"," ",0,"Integral(sqrt(x*(x + sqrt(x**2 - 1)))*sqrt((x - 1)*(x + 1))/(x + 1), x)","F",0
2115,0,0,0,0.000000," ","integrate((x**4+1)*(1+(x**2+1)**(1/2))**(1/2)/(x**4-1),x)","\int \frac{\left(x^{4} + 1\right) \sqrt{\sqrt{x^{2} + 1} + 1}}{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x**4 + 1)*sqrt(sqrt(x**2 + 1) + 1)/((x - 1)*(x + 1)*(x**2 + 1)), x)","F",0
2116,0,0,0,0.000000," ","integrate((a*x**2-b**2)/(a*x**2+b**2)/(b+(a*x**2+b**2)**(1/2))**(1/2),x)","\int \frac{a x^{2} - b^{2}}{\sqrt{b + \sqrt{a x^{2} + b^{2}}} \left(a x^{2} + b^{2}\right)}\, dx"," ",0,"Integral((a*x**2 - b**2)/(sqrt(b + sqrt(a*x**2 + b**2))*(a*x**2 + b**2)), x)","F",0
2117,0,0,0,0.000000," ","integrate(x/(1+(x+(x**2+1)**(1/2))**(1/2)),x)","\int \frac{x}{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\, dx"," ",0,"Integral(x/(sqrt(x + sqrt(x**2 + 1)) + 1), x)","F",0
2118,-1,0,0,0.000000," ","integrate((-2*x+(1+k)*x**2)/((1-x)*x*(-k*x+1))**(2/3)/(b-b*(1+k)*x+(b*k-1)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2119,0,0,0,0.000000," ","integrate((a*x**2-b)*(a*x**3-b*x)**(1/2)/x**2/(a*x**2+b),x)","\int \frac{\sqrt{x \left(a x^{2} - b\right)} \left(a x^{2} - b\right)}{x^{2} \left(a x^{2} + b\right)}\, dx"," ",0,"Integral(sqrt(x*(a*x**2 - b))*(a*x**2 - b)/(x**2*(a*x**2 + b)), x)","F",0
2120,0,0,0,0.000000," ","integrate((x**4-x**3)**(1/4)/x/(x**3+1),x)","\int \frac{\sqrt[4]{x^{3} \left(x - 1\right)}}{x \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral((x**3*(x - 1))**(1/4)/(x*(x + 1)*(x**2 - x + 1)), x)","F",0
2121,0,0,0,0.000000," ","integrate((x**4-x**3)**(1/4)/x/(x**3+1),x)","\int \frac{\sqrt[4]{x^{3} \left(x - 1\right)}}{x \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral((x**3*(x - 1))**(1/4)/(x*(x + 1)*(x**2 - x + 1)), x)","F",0
2122,-1,0,0,0.000000," ","integrate((x**4-3)*(x**4-x**3+1)**(2/3)/x**3/(x**4+x**3+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2123,0,0,0,0.000000," ","integrate((a*x**5-4*b)*(a*x**5+b)**(3/4)/x**4/(2*a*x**5+c*x**4+2*b),x)","\int \frac{\left(a x^{5} - 4 b\right) \left(a x^{5} + b\right)^{\frac{3}{4}}}{x^{4} \left(2 a x^{5} + 2 b + c x^{4}\right)}\, dx"," ",0,"Integral((a*x**5 - 4*b)*(a*x**5 + b)**(3/4)/(x**4*(2*a*x**5 + 2*b + c*x**4)), x)","F",0
2124,0,0,0,0.000000," ","integrate((x**6-1)/(x**4+x**2)**(1/3)/(x**6+1),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)}{\sqrt[3]{x^{2} \left(x^{2} + 1\right)} \left(x^{2} + 1\right) \left(x^{4} - x^{2} + 1\right)}\, dx"," ",0,"Integral((x - 1)*(x + 1)*(x**2 - x + 1)*(x**2 + x + 1)/((x**2*(x**2 + 1))**(1/3)*(x**2 + 1)*(x**4 - x**2 + 1)), x)","F",0
2125,0,0,0,0.000000," ","integrate((3*x**4+2)**(1/4)*(x**8+6*x**4+4)/x**6/(x**4+1)/(2*x**4+1),x)","\int \frac{\sqrt[4]{3 x^{4} + 2} \left(x^{8} + 6 x^{4} + 4\right)}{x^{6} \left(x^{4} + 1\right) \left(2 x^{4} + 1\right)}\, dx"," ",0,"Integral((3*x**4 + 2)**(1/4)*(x**8 + 6*x**4 + 4)/(x**6*(x**4 + 1)*(2*x**4 + 1)), x)","F",0
2126,0,0,0,0.000000," ","integrate((x**8-16*x**6+96*x**4-256*x**2+256)**(1/8)/(x**3-1),x)","\int \frac{\sqrt[8]{\left(x - 2\right)^{4} \left(x + 2\right)^{4}}}{\left(x - 1\right) \left(x^{2} + x + 1\right)}\, dx"," ",0,"Integral(((x - 2)**4*(x + 2)**4)**(1/8)/((x - 1)*(x**2 + x + 1)), x)","F",0
2127,-1,0,0,0.000000," ","integrate((x**6+6*x**3-6*x**2-36)/x/(x**3-6)/((x**3+6)/(x**3-6))**(1/6)/(x**8-6*x**7+15*x**6-26*x**5+51*x**4-96*x**3+122*x**2-90*x+36),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2128,-1,0,0,0.000000," ","integrate((2*x**8-a*x**4+2*b)/(a*x**4+b)**(1/4)/(x**8+a*x**4-2*b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2129,-1,0,0,0.000000," ","integrate((2*x**8-a*x**4+2*b)/(a*x**4+b)**(1/4)/(x**8+a*x**4-2*b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2130,0,0,0,0.000000," ","integrate((a*x**8-b)/(a*x**8+b)/(a*x**8-c*x**4+b)**(1/4),x)","\int \frac{a x^{8} - b}{\left(a x^{8} + b\right) \sqrt[4]{a x^{8} + b - c x^{4}}}\, dx"," ",0,"Integral((a*x**8 - b)/((a*x**8 + b)*(a*x**8 + b - c*x**4)**(1/4)), x)","F",0
2131,0,0,0,0.000000," ","integrate(1/x**2/(a**2*x**2-b*x)**(1/2)/(a*x**2+x*(a**2*x**2-b*x)**(1/2))**(3/2),x)","\int \frac{1}{x^{2} \left(x \left(a x + \sqrt{a^{2} x^{2} - b x}\right)\right)^{\frac{3}{2}} \sqrt{x \left(a^{2} x - b\right)}}\, dx"," ",0,"Integral(1/(x**2*(x*(a*x + sqrt(a**2*x**2 - b*x)))**(3/2)*sqrt(x*(a**2*x - b))), x)","F",0
2132,0,0,0,0.000000," ","integrate((1+(x**2+1)**(1/2))/(1+(x+(x**2+1)**(1/2))**(1/2)),x)","\int \frac{\sqrt{x^{2} + 1} + 1}{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\, dx"," ",0,"Integral((sqrt(x**2 + 1) + 1)/(sqrt(x + sqrt(x**2 + 1)) + 1), x)","F",0
2133,-1,0,0,0.000000," ","integrate((-2+(1+k)*x)/((1-x)*x*(-k*x+1))**(1/3)/(b-b*(1+k)*x+(b*k-1)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2134,0,0,0,0.000000," ","integrate((a*x**4-b)**(1/4)*(a*x**8-8*b)/x**10/(a*x**4+b),x)","\int \frac{\sqrt[4]{a x^{4} - b} \left(a x^{8} - 8 b\right)}{x^{10} \left(a x^{4} + b\right)}\, dx"," ",0,"Integral((a*x**4 - b)**(1/4)*(a*x**8 - 8*b)/(x**10*(a*x**4 + b)), x)","F",0
2135,0,0,0,0.000000," ","integrate(x/(x+(x+(1+x)**(1/2))**(1/2)),x)","\int \frac{x}{x + \sqrt{x + \sqrt{x + 1}}}\, dx"," ",0,"Integral(x/(x + sqrt(x + sqrt(x + 1))), x)","F",0
2136,0,0,0,0.000000," ","integrate(x/(x+(x+(1+x)**(1/2))**(1/2)),x)","\int \frac{x}{x + \sqrt{x + \sqrt{x + 1}}}\, dx"," ",0,"Integral(x/(x + sqrt(x + sqrt(x + 1))), x)","F",0
2137,0,0,0,0.000000," ","integrate((x**2-6)*(x**2-2)*(x**3-x**2+2)*(2*x**3+x**2-2)**(1/3)/x**5/(x**3+x**2-2)**2,x)","\int \frac{\left(x + 1\right) \left(x^{2} - 6\right) \left(x^{2} - 2\right) \left(x^{2} - 2 x + 2\right) \sqrt[3]{2 x^{3} + x^{2} - 2}}{x^{5} \left(x - 1\right)^{2} \left(x^{2} + 2 x + 2\right)^{2}}\, dx"," ",0,"Integral((x + 1)*(x**2 - 6)*(x**2 - 2)*(x**2 - 2*x + 2)*(2*x**3 + x**2 - 2)**(1/3)/(x**5*(x - 1)**2*(x**2 + 2*x + 2)**2), x)","F",0
2138,0,0,0,0.000000," ","integrate((-1+x)*(x**4-x**3)**(1/4)/x/(x**3+1),x)","\int \frac{\sqrt[4]{x^{3} \left(x - 1\right)} \left(x - 1\right)}{x \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral((x**3*(x - 1))**(1/4)*(x - 1)/(x*(x + 1)*(x**2 - x + 1)), x)","F",0
2139,0,0,0,0.000000," ","integrate((-1+x)*(x**4-x**3)**(1/4)/x/(x**3+1),x)","\int \frac{\sqrt[4]{x^{3} \left(x - 1\right)} \left(x - 1\right)}{x \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral((x**3*(x - 1))**(1/4)*(x - 1)/(x*(x + 1)*(x**2 - x + 1)), x)","F",0
2140,0,0,0,0.000000," ","integrate((1+x)*(x**5+x**3)**(1/4)/x/(x**3-1),x)","\int \frac{\sqrt[4]{x^{3} \left(x^{2} + 1\right)} \left(x + 1\right)}{x \left(x - 1\right) \left(x^{2} + x + 1\right)}\, dx"," ",0,"Integral((x**3*(x**2 + 1))**(1/4)*(x + 1)/(x*(x - 1)*(x**2 + x + 1)), x)","F",0
2141,-1,0,0,0.000000," ","integrate(x**3/(a*x**3-b*x**2)**(1/3)/(a**2*x**6-b**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2142,0,0,0,0.000000," ","integrate((x**2+1)/(x**2-1)/(1+(1+(1+x)**(1/2))**(1/2))**(1/2),x)","\int \frac{x^{2} + 1}{\left(x - 1\right) \left(x + 1\right) \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}}\, dx"," ",0,"Integral((x**2 + 1)/((x - 1)*(x + 1)*sqrt(sqrt(sqrt(x + 1) + 1) + 1)), x)","F",0
2143,0,0,0,0.000000," ","integrate((x**2+1)/(x**2-1)/(1+(1+(1+x)**(1/2))**(1/2))**(1/2),x)","\int \frac{x^{2} + 1}{\left(x - 1\right) \left(x + 1\right) \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}}\, dx"," ",0,"Integral((x**2 + 1)/((x - 1)*(x + 1)*sqrt(sqrt(sqrt(x + 1) + 1) + 1)), x)","F",0
2144,-1,0,0,0.000000," ","integrate((x**3+x-1)/(x**3-x+1)/(x**3-x**2)**(1/3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2145,-1,0,0,0.000000," ","integrate((x**3+x-1)/(x**3-x+1)/(x**3-x**2)**(1/3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2146,0,0,0,0.000000," ","integrate((2*x**3+1)**(4/3)*(3*x**3+1)/x**8/(4*x**3+1),x)","\int \frac{\left(2 x^{3} + 1\right)^{\frac{4}{3}} \left(3 x^{3} + 1\right)}{x^{8} \left(4 x^{3} + 1\right)}\, dx"," ",0,"Integral((2*x**3 + 1)**(4/3)*(3*x**3 + 1)/(x**8*(4*x**3 + 1)), x)","F",0
2147,0,0,0,0.000000," ","integrate((x**2-1)/(x**2+1)/(x**4-x**2)**(1/3),x)","\int \frac{\left(x - 1\right) \left(x + 1\right)}{\sqrt[3]{x^{2} \left(x - 1\right) \left(x + 1\right)} \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x - 1)*(x + 1)/((x**2*(x - 1)*(x + 1))**(1/3)*(x**2 + 1)), x)","F",0
2148,0,0,0,0.000000," ","integrate((a*x**4-b*x**2)**(1/4)*(2*a*x**4-b)/(a*x**4+b),x)","\int \frac{\sqrt[4]{x^{2} \left(a x^{2} - b\right)} \left(2 a x^{4} - b\right)}{a x^{4} + b}\, dx"," ",0,"Integral((x**2*(a*x**2 - b))**(1/4)*(2*a*x**4 - b)/(a*x**4 + b), x)","F",0
2149,0,0,0,0.000000," ","integrate((a*x**4-b*x**2)**(1/4)*(2*a*x**4-b)/(a*x**4+b),x)","\int \frac{\sqrt[4]{x^{2} \left(a x^{2} - b\right)} \left(2 a x^{4} - b\right)}{a x^{4} + b}\, dx"," ",0,"Integral((x**2*(a*x**2 - b))**(1/4)*(2*a*x**4 - b)/(a*x**4 + b), x)","F",0
2150,-1,0,0,0.000000," ","integrate(x**3*(-4*a+3*x)/(x**2*(-a+x))**(2/3)/(d*x**4+a-x),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2151,0,0,0,0.000000," ","integrate((a*x**6+b)/x**6/(a*x**3+b)/(a*x**4-b*x)**(1/4),x)","\int \frac{a x^{6} + b}{x^{6} \sqrt[4]{x \left(a x^{3} - b\right)} \left(a x^{3} + b\right)}\, dx"," ",0,"Integral((a*x**6 + b)/(x**6*(x*(a*x**3 - b))**(1/4)*(a*x**3 + b)), x)","F",0
2152,0,0,0,0.000000," ","integrate((x**2-1)/(1+x)**(1/2)/(x**2+1)/(x+(1+x)**(1/2))**(1/2),x)","\int \frac{\left(x - 1\right) \sqrt{x + 1}}{\sqrt{x + \sqrt{x + 1}} \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x - 1)*sqrt(x + 1)/(sqrt(x + sqrt(x + 1))*(x**2 + 1)), x)","F",0
2153,0,0,0,0.000000," ","integrate((x**2-1)/(1+x)**(1/2)/(x**2+1)/(x+(1+x)**(1/2))**(1/2),x)","\int \frac{\left(x - 1\right) \sqrt{x + 1}}{\sqrt{x + \sqrt{x + 1}} \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x - 1)*sqrt(x + 1)/(sqrt(x + sqrt(x + 1))*(x**2 + 1)), x)","F",0
2154,0,0,0,0.000000," ","integrate(x**2*(a*x**2+(a**2*x**4+b)**(1/2))**(1/2),x)","\int x^{2} \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}\, dx"," ",0,"Integral(x**2*sqrt(a*x**2 + sqrt(a**2*x**4 + b)), x)","F",0
2155,0,0,0,0.000000," ","integrate(1/(a**2*x**2-b)**(1/2)/(a*x+(a**2*x**2-b)**(1/2))**(1/3)/(c+(a*x+(a**2*x**2-b)**(1/2))**(1/3))**(1/4),x)","\int \frac{1}{\sqrt[4]{c + \sqrt[3]{a x + \sqrt{a^{2} x^{2} - b}}} \sqrt[3]{a x + \sqrt{a^{2} x^{2} - b}} \sqrt{a^{2} x^{2} - b}}\, dx"," ",0,"Integral(1/((c + (a*x + sqrt(a**2*x**2 - b))**(1/3))**(1/4)*(a*x + sqrt(a**2*x**2 - b))**(1/3)*sqrt(a**2*x**2 - b)), x)","F",0
2156,-1,0,0,0.000000," ","integrate((2*a-3*b+x)*(-a**3+3*a**2*x-3*a*x**2+x**3)/(-b+x)/((-a+x)*(-b+x)**2)**(1/4)/(-a**3-b**2*d+(3*a**2+2*b*d)*x-(3*a+d)*x**2+x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2157,0,0,0,0.000000," ","integrate((2*x**2-x+2)*(x**4-x**3)**(1/4)/(x**2-2*x-2),x)","\int \frac{\sqrt[4]{x^{3} \left(x - 1\right)} \left(2 x^{2} - x + 2\right)}{x^{2} - 2 x - 2}\, dx"," ",0,"Integral((x**3*(x - 1))**(1/4)*(2*x**2 - x + 2)/(x**2 - 2*x - 2), x)","F",0
2158,0,0,0,0.000000," ","integrate((2*x**2-x+2)*(x**4-x**3)**(1/4)/(x**2-2*x-2),x)","\int \frac{\sqrt[4]{x^{3} \left(x - 1\right)} \left(2 x^{2} - x + 2\right)}{x^{2} - 2 x - 2}\, dx"," ",0,"Integral((x**3*(x - 1))**(1/4)*(2*x**2 - x + 2)/(x**2 - 2*x - 2), x)","F",0
2159,-1,0,0,0.000000," ","integrate((-2*x**4-3*x**2+1)**(1/2)*(2*x**4+1)/(2*x**4+x**2-1)/(2*x**4+2*x**2-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2160,0,0,0,0.000000," ","integrate((a*x**4+b*x**2)**(1/4)*(2*a*x**4-b)/(a*x**4-2*b),x)","\int \frac{\sqrt[4]{x^{2} \left(a x^{2} + b\right)} \left(2 a x^{4} - b\right)}{a x^{4} - 2 b}\, dx"," ",0,"Integral((x**2*(a*x**2 + b))**(1/4)*(2*a*x**4 - b)/(a*x**4 - 2*b), x)","F",0
2161,0,0,0,0.000000," ","integrate((a*x**4+b*x**2)**(1/4)*(2*a*x**4-b)/(a*x**4-2*b),x)","\int \frac{\sqrt[4]{x^{2} \left(a x^{2} + b\right)} \left(2 a x^{4} - b\right)}{a x^{4} - 2 b}\, dx"," ",0,"Integral((x**2*(a*x**2 + b))**(1/4)*(2*a*x**4 - b)/(a*x**4 - 2*b), x)","F",0
2162,-1,0,0,0.000000," ","integrate(x*(-4*a+3*x)/(x**2*(-a+x))**(1/3)/(d*x**4+a-x),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2163,-1,0,0,0.000000," ","integrate((2*x**8-2*a*x**4-b)/(a*x**4-b)**(1/4)/(x**8-a*x**4-b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2164,-1,0,0,0.000000," ","integrate((2*x**8-2*a*x**4-b)/(a*x**4-b)**(1/4)/(x**8-a*x**4-b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2165,0,0,0,0.000000," ","integrate(1/(x**2-1)/(x**3-x**2)**(1/3),x)","\int \frac{1}{\sqrt[3]{x^{2} \left(x - 1\right)} \left(x - 1\right) \left(x + 1\right)}\, dx"," ",0,"Integral(1/((x**2*(x - 1))**(1/3)*(x - 1)*(x + 1)), x)","F",0
2166,0,0,0,0.000000," ","integrate((a**2*x**4-b**2)/(a*x**3-b*x)**(1/2)/(a**2*x**4+c*x**2+b**2),x)","\int \frac{\left(a x^{2} - b\right) \left(a x^{2} + b\right)}{\sqrt{x \left(a x^{2} - b\right)} \left(a^{2} x^{4} + b^{2} + c x^{2}\right)}\, dx"," ",0,"Integral((a*x**2 - b)*(a*x**2 + b)/(sqrt(x*(a*x**2 - b))*(a**2*x**4 + b**2 + c*x**2)), x)","F",0
2167,0,0,0,0.000000," ","integrate((2*p*x**3-q)*(p**2*x**6+2*p*q*x**3-2*p*q*x**2+q**2)**(1/2)/x/(b*x**2+a*(p*x**3+q)**2),x)","\int \frac{\left(2 p x^{3} - q\right) \sqrt{p^{2} x^{6} + 2 p q x^{3} - 2 p q x^{2} + q^{2}}}{x \left(a p^{2} x^{6} + 2 a p q x^{3} + a q^{2} + b x^{2}\right)}\, dx"," ",0,"Integral((2*p*x**3 - q)*sqrt(p**2*x**6 + 2*p*q*x**3 - 2*p*q*x**2 + q**2)/(x*(a*p**2*x**6 + 2*a*p*q*x**3 + a*q**2 + b*x**2)), x)","F",0
2168,0,0,0,0.000000," ","integrate((p*x**3-2*q)*(p**2*x**6-2*p*q*x**4+2*p*q*x**3+q**2)**(1/2)/x/(b*x**4+a*(p*x**3+q)**2),x)","\int \frac{\left(p x^{3} - 2 q\right) \sqrt{p^{2} x^{6} - 2 p q x^{4} + 2 p q x^{3} + q^{2}}}{x \left(a p^{2} x^{6} + 2 a p q x^{3} + a q^{2} + b x^{4}\right)}\, dx"," ",0,"Integral((p*x**3 - 2*q)*sqrt(p**2*x**6 - 2*p*q*x**4 + 2*p*q*x**3 + q**2)/(x*(a*p**2*x**6 + 2*a*p*q*x**3 + a*q**2 + b*x**4)), x)","F",0
2169,0,0,0,0.000000," ","integrate((x**2-(x**2+1)**(1/2))/(x**2+(x+(x**2+1)**(1/2))**(1/2)),x)","\int \frac{x^{2} - \sqrt{x^{2} + 1}}{x^{2} + \sqrt{x + \sqrt{x^{2} + 1}}}\, dx"," ",0,"Integral((x**2 - sqrt(x**2 + 1))/(x**2 + sqrt(x + sqrt(x**2 + 1))), x)","F",0
2170,0,0,0,0.000000," ","integrate((x**2-(x**2+1)**(1/2))/(x**2+(x+(x**2+1)**(1/2))**(1/2)),x)","\int \frac{x^{2} - \sqrt{x^{2} + 1}}{x^{2} + \sqrt{x + \sqrt{x^{2} + 1}}}\, dx"," ",0,"Integral((x**2 - sqrt(x**2 + 1))/(x**2 + sqrt(x + sqrt(x**2 + 1))), x)","F",0
2171,0,0,0,0.000000," ","integrate((1+(1-(1+1/x**2)**(1/2))**(1/2))**(1/2)/x,x)","\int \frac{\sqrt{\sqrt{1 - \sqrt{1 + \frac{1}{x^{2}}}} + 1}}{x}\, dx"," ",0,"Integral(sqrt(sqrt(1 - sqrt(1 + x**(-2))) + 1)/x, x)","F",0
2172,-1,0,0,0.000000," ","integrate((-2*x+(1+k)*x**2)/((1-x)*x*(-k*x+1))**(2/3)/(1-(1+k)*x+(-b+k)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2173,0,0,0,0.000000," ","integrate((2-(1+k)*x)/((1-x)*x*(-k*x+1))**(1/3)/(1-(1+k)*x),x)","\int \frac{k x + x - 2}{\sqrt[3]{x \left(x - 1\right) \left(k x - 1\right)} \left(k x + x - 1\right)}\, dx"," ",0,"Integral((k*x + x - 2)/((x*(x - 1)*(k*x - 1))**(1/3)*(k*x + x - 1)), x)","F",0
2174,-1,0,0,0.000000," ","integrate((-2+(1+k)*x)/((1-x)*x*(-k*x+1))**(1/3)/(1-(1+k)*x+(-b+k)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2175,0,0,0,0.000000," ","integrate((2*x**2+3)*(2*x**3+2*x**2+1)**(2/3)/x**3/(x**3-2*x**2-1),x)","\int \frac{\left(2 x^{2} + 3\right) \left(2 x^{3} + 2 x^{2} + 1\right)^{\frac{2}{3}}}{x^{3} \left(x^{3} - 2 x^{2} - 1\right)}\, dx"," ",0,"Integral((2*x**2 + 3)*(2*x**3 + 2*x**2 + 1)**(2/3)/(x**3*(x**3 - 2*x**2 - 1)), x)","F",0
2176,0,0,0,0.000000," ","integrate((a*x**2+c*x-b)/(a*x**2+b)/(a*x**3-b*x)**(1/2),x)","\int \frac{a x^{2} - b + c x}{\sqrt{x \left(a x^{2} - b\right)} \left(a x^{2} + b\right)}\, dx"," ",0,"Integral((a*x**2 - b + c*x)/(sqrt(x*(a*x**2 - b))*(a*x**2 + b)), x)","F",0
2177,-1,0,0,0.000000," ","integrate((x**4+2*x**2-2*x-4)/x/(x**2-2)/((x**2+2)/(x**2-2))**(1/4)/(x**5-4*x**4+4*x**3+4*x**2-10*x+8),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2178,-2,0,0,0.000000," ","integrate((1+x)**(1/2)*(x**4-1)*(1+(1+x)**(1/2))**(1/2)/(x**4+1),x)","\text{Exception raised: SympifyError}"," ",0,"Exception raised: SympifyError","F(-2)",0
2179,-2,0,0,0.000000," ","integrate((1+x)**(1/2)*(x**4-1)*(1+(1+x)**(1/2))**(1/2)/(x**4+1),x)","\text{Exception raised: SympifyError}"," ",0,"Exception raised: SympifyError","F(-2)",0
2180,1,126,0,2.699705," ","integrate((c*x-d)/x**4/(a*x**3-b)**(1/3),x)","c \left(\begin{cases} - \frac{a^{\frac{2}{3}} \left(-1 + \frac{b}{a x^{3}}\right)^{\frac{2}{3}} e^{\frac{2 i \pi}{3}} \Gamma\left(- \frac{2}{3}\right)}{3 b \Gamma\left(\frac{1}{3}\right)} & \text{for}\: \left|{\frac{b}{a x^{3}}}\right| > 1 \\- \frac{a^{\frac{2}{3}} \left(1 - \frac{b}{a x^{3}}\right)^{\frac{2}{3}} \Gamma\left(- \frac{2}{3}\right)}{3 b \Gamma\left(\frac{1}{3}\right)} & \text{otherwise} \end{cases}\right) + \frac{d \Gamma\left(\frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{4}{3} \\ \frac{7}{3} \end{matrix}\middle| {\frac{b e^{2 i \pi}}{a x^{3}}} \right)}}{3 \sqrt[3]{a} x^{4} \Gamma\left(\frac{7}{3}\right)}"," ",0,"c*Piecewise((-a**(2/3)*(-1 + b/(a*x**3))**(2/3)*exp(2*I*pi/3)*gamma(-2/3)/(3*b*gamma(1/3)), Abs(b/(a*x**3)) > 1), (-a**(2/3)*(1 - b/(a*x**3))**(2/3)*gamma(-2/3)/(3*b*gamma(1/3)), True)) + d*gamma(4/3)*hyper((1/3, 4/3), (7/3,), b*exp_polar(2*I*pi)/(a*x**3))/(3*a**(1/3)*x**4*gamma(7/3))","C",0
2181,0,0,0,0.000000," ","integrate((a*x**4-b*x**3)**(1/4)*(c*x**4-d)/x**2,x)","\int \frac{\sqrt[4]{x^{3} \left(a x - b\right)} \left(c x^{4} - d\right)}{x^{2}}\, dx"," ",0,"Integral((x**3*(a*x - b))**(1/4)*(c*x**4 - d)/x**2, x)","F",0
2182,0,0,0,0.000000," ","integrate(x**3*(5-4*(1+k)*x+3*k*x**2)/((1-x)*x*(-k*x+1))**(2/3)/(-b+b*(1+k)*x-b*k*x**2+x**5),x)","\int \frac{x^{3} \left(3 k x^{2} - 4 k x - 4 x + 5\right)}{\left(x \left(x - 1\right) \left(k x - 1\right)\right)^{\frac{2}{3}} \left(- b k x^{2} + b k x + b x - b + x^{5}\right)}\, dx"," ",0,"Integral(x**3*(3*k*x**2 - 4*k*x - 4*x + 5)/((x*(x - 1)*(k*x - 1))**(2/3)*(-b*k*x**2 + b*k*x + b*x - b + x**5)), x)","F",0
2183,0,0,0,0.000000," ","integrate((x**5-8)*(x**5+2)*(x**5-3*x**4+2)**(1/4)/x**6/(2*x**5-3*x**4+4),x)","\int \frac{\sqrt[4]{\left(x - 1\right) \left(x^{4} - 2 x^{3} - 2 x^{2} - 2 x - 2\right)} \left(x^{5} - 8\right) \left(x^{5} + 2\right)}{x^{6} \left(2 x^{5} - 3 x^{4} + 4\right)}\, dx"," ",0,"Integral(((x - 1)*(x**4 - 2*x**3 - 2*x**2 - 2*x - 2))**(1/4)*(x**5 - 8)*(x**5 + 2)/(x**6*(2*x**5 - 3*x**4 + 4)), x)","F",0
2184,0,0,0,0.000000," ","integrate(x**2/(x**4-1)/(x**6+x**2)**(1/4),x)","\int \frac{x^{2}}{\sqrt[4]{x^{2} \left(x^{4} + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}\, dx"," ",0,"Integral(x**2/((x**2*(x**4 + 1))**(1/4)*(x - 1)*(x + 1)*(x**2 + 1)), x)","F",0
2185,0,0,0,0.000000," ","integrate(x**2/(x**4-1)/(x**6+x**2)**(1/4),x)","\int \frac{x^{2}}{\sqrt[4]{x^{2} \left(x^{4} + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}\, dx"," ",0,"Integral(x**2/((x**2*(x**4 + 1))**(1/4)*(x - 1)*(x + 1)*(x**2 + 1)), x)","F",0
2186,0,0,0,0.000000," ","integrate((x**4+1)/(x**4-1)/(x**6+x**2)**(1/4),x)","\int \frac{x^{4} + 1}{\sqrt[4]{x^{2} \left(x^{4} + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x**4 + 1)/((x**2*(x**4 + 1))**(1/4)*(x - 1)*(x + 1)*(x**2 + 1)), x)","F",0
2187,0,0,0,0.000000," ","integrate((x**4+1)/(x**4-1)/(x**6+x**2)**(1/4),x)","\int \frac{x^{4} + 1}{\sqrt[4]{x^{2} \left(x^{4} + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x**4 + 1)/((x**2*(x**4 + 1))**(1/4)*(x - 1)*(x + 1)*(x**2 + 1)), x)","F",0
2188,0,0,0,0.000000," ","integrate((x**4-x**2+1)/(x**4-1)/(x**6+x**2)**(1/4),x)","\int \frac{x^{4} - x^{2} + 1}{\sqrt[4]{x^{2} \left(x^{4} + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x**4 - x**2 + 1)/((x**2*(x**4 + 1))**(1/4)*(x - 1)*(x + 1)*(x**2 + 1)), x)","F",0
2189,0,0,0,0.000000," ","integrate((x**4-x**2+1)/(x**4-1)/(x**6+x**2)**(1/4),x)","\int \frac{x^{4} - x^{2} + 1}{\sqrt[4]{x^{2} \left(x^{4} + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x**4 - x**2 + 1)/((x**2*(x**4 + 1))**(1/4)*(x - 1)*(x + 1)*(x**2 + 1)), x)","F",0
2190,0,0,0,0.000000," ","integrate((x**4+x**2+1)/(x**4-1)/(x**6+x**2)**(1/4),x)","\int \frac{\left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)}{\sqrt[4]{x^{2} \left(x^{4} + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x**2 - x + 1)*(x**2 + x + 1)/((x**2*(x**4 + 1))**(1/4)*(x - 1)*(x + 1)*(x**2 + 1)), x)","F",0
2191,0,0,0,0.000000," ","integrate((x**4+x**2+1)/(x**4-1)/(x**6+x**2)**(1/4),x)","\int \frac{\left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)}{\sqrt[4]{x^{2} \left(x^{4} + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x**2 - x + 1)*(x**2 + x + 1)/((x**2*(x**4 + 1))**(1/4)*(x - 1)*(x + 1)*(x**2 + 1)), x)","F",0
2192,-1,0,0,0.000000," ","integrate((x**3-4)*(x**3-2)*(x**3-1)**(2/3)/x**6/(x**6+x**3-2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2193,0,0,0,0.000000," ","integrate((x**4-1)*(x**6+x**2)**(1/4)/(x**8+1),x)","\int \frac{\sqrt[4]{x^{2} \left(x^{4} + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}{x^{8} + 1}\, dx"," ",0,"Integral((x**2*(x**4 + 1))**(1/4)*(x - 1)*(x + 1)*(x**2 + 1)/(x**8 + 1), x)","F",0
2194,0,0,0,0.000000," ","integrate((x**4-1)*(x**6+x**2)**(1/4)/(x**8+1),x)","\int \frac{\sqrt[4]{x^{2} \left(x^{4} + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}{x^{8} + 1}\, dx"," ",0,"Integral((x**2*(x**4 + 1))**(1/4)*(x - 1)*(x + 1)*(x**2 + 1)/(x**8 + 1), x)","F",0
2195,-1,0,0,0.000000," ","integrate((x**8-1)/(x**6+x**2)**(1/4)/(x**8+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2196,-1,0,0,0.000000," ","integrate((x**8-1)/(x**6+x**2)**(1/4)/(x**8+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2197,0,0,0,0.000000," ","integrate(x**5*(8-7*(1+k)*x+6*k*x**2)/((1-x)*x*(-k*x+1))**(2/3)/(-b+b*(1+k)*x-b*k*x**2+x**8),x)","\int \frac{x^{5} \left(6 k x^{2} - 7 k x - 7 x + 8\right)}{\left(x \left(x - 1\right) \left(k x - 1\right)\right)^{\frac{2}{3}} \left(- b k x^{2} + b k x + b x - b + x^{8}\right)}\, dx"," ",0,"Integral(x**5*(6*k*x**2 - 7*k*x - 7*x + 8)/((x*(x - 1)*(k*x - 1))**(2/3)*(-b*k*x**2 + b*k*x + b*x - b + x**8)), x)","F",0
2198,-1,0,0,0.000000," ","integrate((2*x**8-a*x**4-2*b)/(a*x**4-b)**(1/4)/(x**8-a*x**4-2*b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2199,1,51,0,1.115091," ","integrate((b+(a*x**2+b**2)**(1/2))**(1/2)/x**4,x)","\frac{\sqrt{b} \Gamma\left(- \frac{1}{4}\right) \Gamma\left(\frac{1}{4}\right) {{}_{3}F_{2}\left(\begin{matrix} - \frac{3}{2}, - \frac{1}{4}, \frac{1}{4} \\ - \frac{1}{2}, \frac{1}{2} \end{matrix}\middle| {\frac{a x^{2} e^{i \pi}}{b^{2}}} \right)}}{12 \pi x^{3}}"," ",0,"sqrt(b)*gamma(-1/4)*gamma(1/4)*hyper((-3/2, -1/4, 1/4), (-1/2, 1/2), a*x**2*exp_polar(I*pi)/b**2)/(12*pi*x**3)","C",0
2200,1,49,0,1.435524," ","integrate((b+(a*x**2+b**2)**(1/2))**(1/2)/x**4/(a*x**2+b**2)**(1/2),x)","- \frac{\Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right) {{}_{3}F_{2}\left(\begin{matrix} - \frac{3}{2}, \frac{1}{4}, \frac{3}{4} \\ - \frac{1}{2}, \frac{1}{2} \end{matrix}\middle| {\frac{a x^{2} e^{i \pi}}{b^{2}}} \right)}}{3 \pi \sqrt{b} x^{3}}"," ",0,"-gamma(1/4)*gamma(3/4)*hyper((-3/2, 1/4, 3/4), (-1/2, 1/2), a*x**2*exp_polar(I*pi)/b**2)/(3*pi*sqrt(b)*x**3)","C",0
2201,0,0,0,0.000000," ","integrate(1/(x**3+x)**(1/3)/(x**6-1),x)","\int \frac{1}{\sqrt[3]{x \left(x^{2} + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)}\, dx"," ",0,"Integral(1/((x*(x**2 + 1))**(1/3)*(x - 1)*(x + 1)*(x**2 - x + 1)*(x**2 + x + 1)), x)","F",0
2202,0,0,0,0.000000," ","integrate(1/(x**3+x)**(1/3)/(x**6-1),x)","\int \frac{1}{\sqrt[3]{x \left(x^{2} + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)}\, dx"," ",0,"Integral(1/((x*(x**2 + 1))**(1/3)*(x - 1)*(x + 1)*(x**2 - x + 1)*(x**2 + x + 1)), x)","F",0
2203,-1,0,0,0.000000," ","integrate((x**3+1)*(x**6-x**3-2)**(1/2)/x**4/(x**6-2*x**3-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2204,0,0,0,0.000000," ","integrate(x**2*(7*x**3-4)/(x**4-x)**(1/3)/(x**7-x**4-1),x)","\int \frac{x^{2} \left(7 x^{3} - 4\right)}{\sqrt[3]{x \left(x - 1\right) \left(x^{2} + x + 1\right)} \left(x^{7} - x^{4} - 1\right)}\, dx"," ",0,"Integral(x**2*(7*x**3 - 4)/((x*(x - 1)*(x**2 + x + 1))**(1/3)*(x**7 - x**4 - 1)), x)","F",0
2205,-1,0,0,0.000000," ","integrate((x**8+a*x**4)/(a*x**4-b*x**2)**(1/4)/(x**8+2*a*x**4-b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2206,-1,0,0,0.000000," ","integrate((x**8+a*x**4)/(a*x**4-b*x**2)**(1/4)/(x**8+2*a*x**4-b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2207,-1,0,0,0.000000," ","integrate((-x**4+2*x**2+1)**(1/2)*(x**4-1)*(x**4+1)/(x**4-x**2-1)/(x**8-3*x**6-x**4+3*x**2+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2208,0,0,0,0.000000," ","integrate(1/(x**2-1)/(x+(x**2+1)**(1/2))**(1/2),x)","\int \frac{1}{\left(x - 1\right) \left(x + 1\right) \sqrt{x + \sqrt{x^{2} + 1}}}\, dx"," ",0,"Integral(1/((x - 1)*(x + 1)*sqrt(x + sqrt(x**2 + 1))), x)","F",0
2209,0,0,0,0.000000," ","integrate((-a/b**2+a**2*x**2/b**2)**(1/2)/(a*x**2+b*x*(-a/b**2+a**2*x**2/b**2)**(1/2))**(1/2),x)","\int \frac{\sqrt{\frac{a \left(a x^{2} - 1\right)}{b^{2}}}}{\sqrt{x \left(a x + b \sqrt{\frac{a^{2} x^{2}}{b^{2}} - \frac{a}{b^{2}}}\right)}}\, dx"," ",0,"Integral(sqrt(a*(a*x**2 - 1)/b**2)/sqrt(x*(a*x + b*sqrt(a**2*x**2/b**2 - a/b**2))), x)","F",0
2210,0,0,0,0.000000," ","integrate((-a/b**2+a**2*x**2/b**2)**(1/2)*(a*x**2+b*x*(-a/b**2+a**2*x**2/b**2)**(1/2))**(1/2),x)","\int \sqrt{x \left(a x + b \sqrt{\frac{a^{2} x^{2}}{b^{2}} - \frac{a}{b^{2}}}\right)} \sqrt{\frac{a \left(a x^{2} - 1\right)}{b^{2}}}\, dx"," ",0,"Integral(sqrt(x*(a*x + b*sqrt(a**2*x**2/b**2 - a/b**2)))*sqrt(a*(a*x**2 - 1)/b**2), x)","F",0
2211,-1,0,0,0.000000," ","integrate((-3+x)*(-2+x)*(2*x**3-x+2)**(2/3)/x**6/(2*x**3+x-2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2212,0,0,0,0.000000," ","integrate((x**3+1)**(2/3)*(x**3+2)/x**6/(x**6-x**3-2),x)","\int \frac{\left(\left(x + 1\right) \left(x^{2} - x + 1\right)\right)^{\frac{2}{3}} \left(x^{3} + 2\right)}{x^{6} \left(x + 1\right) \left(x^{3} - 2\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(((x + 1)*(x**2 - x + 1))**(2/3)*(x**3 + 2)/(x**6*(x + 1)*(x**3 - 2)*(x**2 - x + 1)), x)","F",0
2213,0,0,0,0.000000," ","integrate((a*x**6+b)/(x**3+x)**(1/3)/(c*x**6+d),x)","\int \frac{a x^{6} + b}{\sqrt[3]{x \left(x^{2} + 1\right)} \left(c x^{6} + d\right)}\, dx"," ",0,"Integral((a*x**6 + b)/((x*(x**2 + 1))**(1/3)*(c*x**6 + d)), x)","F",0
2214,0,0,0,0.000000," ","integrate((a*x**6+b)/(x**3+x)**(1/3)/(c*x**6+d),x)","\int \frac{a x^{6} + b}{\sqrt[3]{x \left(x^{2} + 1\right)} \left(c x^{6} + d\right)}\, dx"," ",0,"Integral((a*x**6 + b)/((x*(x**2 + 1))**(1/3)*(c*x**6 + d)), x)","F",0
2215,0,0,0,0.000000," ","integrate(1/(2+x)/(x**2+x+1)**(1/3),x)","\int \frac{1}{\left(x + 2\right) \sqrt[3]{x^{2} + x + 1}}\, dx"," ",0,"Integral(1/((x + 2)*(x**2 + x + 1)**(1/3)), x)","F",0
2216,0,0,0,0.000000," ","integrate((-3+2*x)*(x**3+x-1)**(1/3)/x**2/(x**3-2*x+2),x)","\int \frac{\left(2 x - 3\right) \sqrt[3]{x^{3} + x - 1}}{x^{2} \left(x^{3} - 2 x + 2\right)}\, dx"," ",0,"Integral((2*x - 3)*(x**3 + x - 1)**(1/3)/(x**2*(x**3 - 2*x + 2)), x)","F",0
2217,-1,0,0,0.000000," ","integrate((-(2*a-b)*b**2+(4*a-b)*b*x-(2*a+b)*x**2+x**3)/(-a+x)/((-a+x)*(-b+x)**2)**(1/4)/(b**2+a*d-(2*b+d)*x+x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2218,-1,0,0,0.000000," ","integrate(x**4/(a*x**4+b)**2/(a*x**4+b*x**2)**(1/4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2219,-1,0,0,0.000000," ","integrate(x**4/(a*x**4+b)**2/(a*x**4+b*x**2)**(1/4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2220,-1,0,0,0.000000," ","integrate(x**4/(a*x**4+b)**2/(a*x**4+b*x**2)**(1/4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2221,0,0,0,0.000000," ","integrate((a*x**4-b)*(a*x**4+b)**(3/4)/x**8/(2*a*x**4+b),x)","\int \frac{\left(a x^{4} - b\right) \left(a x^{4} + b\right)^{\frac{3}{4}}}{x^{8} \left(2 a x^{4} + b\right)}\, dx"," ",0,"Integral((a*x**4 - b)*(a*x**4 + b)**(3/4)/(x**8*(2*a*x**4 + b)), x)","F",0
2222,-1,0,0,0.000000," ","integrate(x*(a*x+b)**(1/2)/(x+(c+(a*x+b)**(1/2))**(1/2)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2223,-1,0,0,0.000000," ","integrate(x*(a*x+b)**(1/2)/(x+(c+(a*x+b)**(1/2))**(1/2)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2224,0,0,0,0.000000," ","integrate((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}\, dx"," ",0,"Integral(sqrt(1 - sqrt(1 - sqrt(1 - 1/x)))/x, x)","F",0
2225,-1,0,0,0.000000," ","integrate((-2*a*b*x+(a+b)*x**2)/(x*(-a+x)*(-b+x))**(2/3)/(a*b*d-(a+b)*d*x+(-1+d)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2226,1,44,0,1.362183," ","integrate((a*x**3-b)**(1/4)/x**7,x)","- \frac{\sqrt[4]{a} \Gamma\left(\frac{7}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{4}, \frac{7}{4} \\ \frac{11}{4} \end{matrix}\middle| {\frac{b e^{2 i \pi}}{a x^{3}}} \right)}}{3 x^{\frac{21}{4}} \Gamma\left(\frac{11}{4}\right)}"," ",0,"-a**(1/4)*gamma(7/4)*hyper((-1/4, 7/4), (11/4,), b*exp_polar(2*I*pi)/(a*x**3))/(3*x**(21/4)*gamma(11/4))","C",0
2227,0,0,0,0.000000," ","integrate((2*a*x**2+b)*(a*x**4+b*x**2)**(1/4)/(a*x**2-b),x)","\int \frac{\sqrt[4]{x^{2} \left(a x^{2} + b\right)} \left(2 a x^{2} + b\right)}{a x^{2} - b}\, dx"," ",0,"Integral((x**2*(a*x**2 + b))**(1/4)*(2*a*x**2 + b)/(a*x**2 - b), x)","F",0
2228,0,0,0,0.000000," ","integrate((a**4*x**4-b**4)/(a**2*x**3-b**2*x)**(1/2)/(a**4*x**4+b**4),x)","\int \frac{\left(a x - b\right) \left(a x + b\right) \left(a^{2} x^{2} + b^{2}\right)}{\sqrt{x \left(a x - b\right) \left(a x + b\right)} \left(a^{4} x^{4} + b^{4}\right)}\, dx"," ",0,"Integral((a*x - b)*(a*x + b)*(a**2*x**2 + b**2)/(sqrt(x*(a*x - b)*(a*x + b))*(a**4*x**4 + b**4)), x)","F",0
2229,0,0,0,0.000000," ","integrate((x**5-1)/(x**4+1)**(1/2)/(x**5+1),x)","\int \frac{\left(x - 1\right) \left(x^{4} + x^{3} + x^{2} + x + 1\right)}{\left(x + 1\right) \sqrt{x^{4} + 1} \left(x^{4} - x^{3} + x^{2} - x + 1\right)}\, dx"," ",0,"Integral((x - 1)*(x**4 + x**3 + x**2 + x + 1)/((x + 1)*sqrt(x**4 + 1)*(x**4 - x**3 + x**2 - x + 1)), x)","F",0
2230,0,0,0,0.000000," ","integrate((x**5-1)/(x**4+1)**(1/2)/(x**5+1),x)","\int \frac{\left(x - 1\right) \left(x^{4} + x^{3} + x^{2} + x + 1\right)}{\left(x + 1\right) \sqrt{x^{4} + 1} \left(x^{4} - x^{3} + x^{2} - x + 1\right)}\, dx"," ",0,"Integral((x - 1)*(x**4 + x**3 + x**2 + x + 1)/((x + 1)*sqrt(x**4 + 1)*(x**4 - x**3 + x**2 - x + 1)), x)","F",0
2231,0,0,0,0.000000," ","integrate((x**5+1)/(x**4+1)**(1/2)/(x**5-1),x)","\int \frac{\left(x + 1\right) \left(x^{4} - x^{3} + x^{2} - x + 1\right)}{\left(x - 1\right) \sqrt{x^{4} + 1} \left(x^{4} + x^{3} + x^{2} + x + 1\right)}\, dx"," ",0,"Integral((x + 1)*(x**4 - x**3 + x**2 - x + 1)/((x - 1)*sqrt(x**4 + 1)*(x**4 + x**3 + x**2 + x + 1)), x)","F",0
2232,0,0,0,0.000000," ","integrate((x**5+1)/(x**4+1)**(1/2)/(x**5-1),x)","\int \frac{\left(x + 1\right) \left(x^{4} - x^{3} + x^{2} - x + 1\right)}{\left(x - 1\right) \sqrt{x^{4} + 1} \left(x^{4} + x^{3} + x^{2} + x + 1\right)}\, dx"," ",0,"Integral((x + 1)*(x**4 - x**3 + x**2 - x + 1)/((x - 1)*sqrt(x**4 + 1)*(x**4 + x**3 + x**2 + x + 1)), x)","F",0
2233,0,0,0,0.000000," ","integrate((a**6*x**6-b**6)/(a**4*x**4+b**4)**(1/2)/(a**6*x**6+b**6),x)","\int \frac{\left(a x - b\right) \left(a x + b\right) \left(a^{2} x^{2} - a b x + b^{2}\right) \left(a^{2} x^{2} + a b x + b^{2}\right)}{\left(a^{2} x^{2} + b^{2}\right) \sqrt{a^{4} x^{4} + b^{4}} \left(a^{4} x^{4} - a^{2} b^{2} x^{2} + b^{4}\right)}\, dx"," ",0,"Integral((a*x - b)*(a*x + b)*(a**2*x**2 - a*b*x + b**2)*(a**2*x**2 + a*b*x + b**2)/((a**2*x**2 + b**2)*sqrt(a**4*x**4 + b**4)*(a**4*x**4 - a**2*b**2*x**2 + b**4)), x)","F",0
2234,-1,0,0,0.000000," ","integrate((-2*a*b+(a+b)*x)/(x*(-a+x)*(-b+x))**(1/3)/(a*b*d-(a+b)*d*x+(-1+d)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2235,1,42,0,1.688198," ","integrate(1/x**7/(a*x**3-b)**(3/4),x)","- \frac{\Gamma\left(\frac{11}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{11}{4} \\ \frac{15}{4} \end{matrix}\middle| {\frac{b e^{2 i \pi}}{a x^{3}}} \right)}}{3 a^{\frac{3}{4}} x^{\frac{33}{4}} \Gamma\left(\frac{15}{4}\right)}"," ",0,"-gamma(11/4)*hyper((3/4, 11/4), (15/4,), b*exp_polar(2*I*pi)/(a*x**3))/(3*a**(3/4)*x**(33/4)*gamma(15/4))","C",0
2236,1,42,0,1.443241," ","integrate(1/x**7/(a*x**3-b)**(1/4),x)","- \frac{\Gamma\left(\frac{9}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{4}, \frac{9}{4} \\ \frac{13}{4} \end{matrix}\middle| {\frac{b e^{2 i \pi}}{a x^{3}}} \right)}}{3 \sqrt[4]{a} x^{\frac{27}{4}} \Gamma\left(\frac{13}{4}\right)}"," ",0,"-gamma(9/4)*hyper((1/4, 9/4), (13/4,), b*exp_polar(2*I*pi)/(a*x**3))/(3*a**(1/4)*x**(27/4)*gamma(13/4))","C",0
2237,0,0,0,0.000000," ","integrate((x**2+1)/(x**2-1)/(x**4+x**2)**(1/3),x)","\int \frac{x^{2} + 1}{\sqrt[3]{x^{2} \left(x^{2} + 1\right)} \left(x - 1\right) \left(x + 1\right)}\, dx"," ",0,"Integral((x**2 + 1)/((x**2*(x**2 + 1))**(1/3)*(x - 1)*(x + 1)), x)","F",0
2238,-1,0,0,0.000000," ","integrate((x**4-1)**(2/3)*(x**4+3)*(2*x**4-x**3-2)/x**6/(2*x**4+3*x**3-2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2239,1,41,0,1.654359," ","integrate(1/x**9/(a*x**4-b)**(3/4),x)","- \frac{\Gamma\left(\frac{11}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{11}{4} \\ \frac{15}{4} \end{matrix}\middle| {\frac{b e^{2 i \pi}}{a x^{4}}} \right)}}{4 a^{\frac{3}{4}} x^{11} \Gamma\left(\frac{15}{4}\right)}"," ",0,"-gamma(11/4)*hyper((3/4, 11/4), (15/4,), b*exp_polar(2*I*pi)/(a*x**4))/(4*a**(3/4)*x**11*gamma(15/4))","C",0
2240,0,0,0,0.000000," ","integrate((a**2*x**4+c*x**2+b**2)/(a*x**3+b*x)**(1/2)/(a**2*x**4-b**2),x)","\int \frac{a^{2} x^{4} + b^{2} + c x^{2}}{\sqrt{x \left(a x^{2} + b\right)} \left(a x^{2} - b\right) \left(a x^{2} + b\right)}\, dx"," ",0,"Integral((a**2*x**4 + b**2 + c*x**2)/(sqrt(x*(a*x**2 + b))*(a*x**2 - b)*(a*x**2 + b)), x)","F",0
2241,1,42,0,1.878308," ","integrate(1/x**11/(a*x**5-b)**(3/4),x)","- \frac{\Gamma\left(\frac{11}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{11}{4} \\ \frac{15}{4} \end{matrix}\middle| {\frac{b e^{2 i \pi}}{a x^{5}}} \right)}}{5 a^{\frac{3}{4}} x^{\frac{55}{4}} \Gamma\left(\frac{15}{4}\right)}"," ",0,"-gamma(11/4)*hyper((3/4, 11/4), (15/4,), b*exp_polar(2*I*pi)/(a*x**5))/(5*a**(3/4)*x**(55/4)*gamma(15/4))","C",0
2242,0,0,0,0.000000," ","integrate((x**6+1)/(x**4-x**2)**(1/3)/(x**6-1),x)","\int \frac{\left(x^{2} + 1\right) \left(x^{4} - x^{2} + 1\right)}{\sqrt[3]{x^{2} \left(x - 1\right) \left(x + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)}\, dx"," ",0,"Integral((x**2 + 1)*(x**4 - x**2 + 1)/((x**2*(x - 1)*(x + 1))**(1/3)*(x - 1)*(x + 1)*(x**2 - x + 1)*(x**2 + x + 1)), x)","F",0
2243,0,0,0,0.000000," ","integrate((a**6*x**6-b**6)/(a**2*x**3+b**2*x)**(1/2)/(a**6*x**6+b**6),x)","\int \frac{\left(a x - b\right) \left(a x + b\right) \left(a^{2} x^{2} - a b x + b^{2}\right) \left(a^{2} x^{2} + a b x + b^{2}\right)}{\sqrt{x \left(a^{2} x^{2} + b^{2}\right)} \left(a^{2} x^{2} + b^{2}\right) \left(a^{4} x^{4} - a^{2} b^{2} x^{2} + b^{4}\right)}\, dx"," ",0,"Integral((a*x - b)*(a*x + b)*(a**2*x**2 - a*b*x + b**2)*(a**2*x**2 + a*b*x + b**2)/(sqrt(x*(a**2*x**2 + b**2))*(a**2*x**2 + b**2)*(a**4*x**4 - a**2*b**2*x**2 + b**4)), x)","F",0
2244,0,0,0,0.000000," ","integrate((a*x**2+1)/(a*x**2-1)/(a*x+(a**2*x**2+b)**(1/2))**(1/2),x)","\int \frac{a x^{2} + 1}{\sqrt{a x + \sqrt{a^{2} x^{2} + b}} \left(a x^{2} - 1\right)}\, dx"," ",0,"Integral((a*x**2 + 1)/(sqrt(a*x + sqrt(a**2*x**2 + b))*(a*x**2 - 1)), x)","F",0
2245,0,0,0,0.000000," ","integrate((-a/b**2+a**2*x**2/b**2)**(1/2)/x**2/(a*x**2+b*x*(-a/b**2+a**2*x**2/b**2)**(1/2))**(1/2),x)","\int \frac{\sqrt{\frac{a \left(a x^{2} - 1\right)}{b^{2}}}}{x^{2} \sqrt{x \left(a x + b \sqrt{\frac{a^{2} x^{2}}{b^{2}} - \frac{a}{b^{2}}}\right)}}\, dx"," ",0,"Integral(sqrt(a*(a*x**2 - 1)/b**2)/(x**2*sqrt(x*(a*x + b*sqrt(a**2*x**2/b**2 - a/b**2)))), x)","F",0
2246,0,0,0,0.000000," ","integrate((p*x**3-2*q)*(p*x**3+q)**(1/2)/(b*x**4+a*(p*x**3+q)**2),x)","\int \frac{\left(p x^{3} - 2 q\right) \sqrt{p x^{3} + q}}{a p^{2} x^{6} + 2 a p q x^{3} + a q^{2} + b x^{4}}\, dx"," ",0,"Integral((p*x**3 - 2*q)*sqrt(p*x**3 + q)/(a*p**2*x**6 + 2*a*p*q*x**3 + a*q**2 + b*x**4), x)","F",0
2247,0,0,0,0.000000," ","integrate(x**4*(x**4+1)**(1/2)*(x**2+(x**4+1)**(1/2))**(1/2),x)","\int x^{4} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{x^{4} + 1}\, dx"," ",0,"Integral(x**4*sqrt(x**2 + sqrt(x**4 + 1))*sqrt(x**4 + 1), x)","F",0
2248,0,0,0,0.000000," ","integrate((p*x**5+q)**(1/2)*(3*p*x**5-2*q)/(b*x**4+a*(p*x**5+q)**2),x)","\int \frac{\sqrt{p x^{5} + q} \left(3 p x^{5} - 2 q\right)}{a p^{2} x^{10} + 2 a p q x^{5} + a q^{2} + b x^{4}}\, dx"," ",0,"Integral(sqrt(p*x**5 + q)*(3*p*x**5 - 2*q)/(a*p**2*x**10 + 2*a*p*q*x**5 + a*q**2 + b*x**4), x)","F",0
2249,0,0,0,0.000000," ","integrate((-3+x)/(-x**2+1)**(1/3)/(x**2+3),x)","\int \frac{x - 3}{\sqrt[3]{- \left(x - 1\right) \left(x + 1\right)} \left(x^{2} + 3\right)}\, dx"," ",0,"Integral((x - 3)/((-(x - 1)*(x + 1))**(1/3)*(x**2 + 3)), x)","F",0
2250,-1,0,0,0.000000," ","integrate(x**3*(-3*a*b+(a+2*b)*x)/(-a+x)/(-b+x)/(x*(-a+x)*(-b+x)**2)**(1/4)/(-a*b**2*d+b*(2*a+b)*d*x-(a+2*b)*d*x**2+(-1+d)*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2251,0,0,0,0.000000," ","integrate((a*x+(a**2*x**2+b**2)**(1/2))/(b+(a*x+(a**2*x**2+b**2)**(1/2))**(1/2)),x)","\int \frac{a x + \sqrt{a^{2} x^{2} + b^{2}}}{b + \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}}\, dx"," ",0,"Integral((a*x + sqrt(a**2*x**2 + b**2))/(b + sqrt(a*x + sqrt(a**2*x**2 + b**2))), x)","F",0
2252,0,0,0,0.000000," ","integrate(1/(x**2+3)/(3*x**2+1)**(1/3),x)","\int \frac{1}{\left(x^{2} + 3\right) \sqrt[3]{3 x^{2} + 1}}\, dx"," ",0,"Integral(1/((x**2 + 3)*(3*x**2 + 1)**(1/3)), x)","F",0
2253,0,0,0,0.000000," ","integrate((x**2+1)*(x**5+x**3)**(1/4)/x**2/(x**2-1),x)","\int \frac{\sqrt[4]{x^{3} \left(x^{2} + 1\right)} \left(x^{2} + 1\right)}{x^{2} \left(x - 1\right) \left(x + 1\right)}\, dx"," ",0,"Integral((x**3*(x**2 + 1))**(1/4)*(x**2 + 1)/(x**2*(x - 1)*(x + 1)), x)","F",0
2254,0,0,0,0.000000," ","integrate((x**5+x**2+4)*(2*x**5-2*x**4-x**2-2)**(1/4)/x**2/(2*x**5-x**2-2),x)","\int \frac{\left(x^{5} + x^{2} + 4\right) \sqrt[4]{2 x^{5} - 2 x^{4} - x^{2} - 2}}{x^{2} \left(2 x^{5} - x^{2} - 2\right)}\, dx"," ",0,"Integral((x**5 + x**2 + 4)*(2*x**5 - 2*x**4 - x**2 - 2)**(1/4)/(x**2*(2*x**5 - x**2 - 2)), x)","F",0
2255,0,0,0,0.000000," ","integrate((x**4-1)**2*(x**2+(x**4+1)**(1/2))**(1/2)/(x**4+1)**2,x)","\int \frac{\left(x - 1\right)^{2} \left(x + 1\right)^{2} \left(x^{2} + 1\right)^{2} \sqrt{x^{2} + \sqrt{x^{4} + 1}}}{\left(x^{4} + 1\right)^{2}}\, dx"," ",0,"Integral((x - 1)**2*(x + 1)**2*(x**2 + 1)**2*sqrt(x**2 + sqrt(x**4 + 1))/(x**4 + 1)**2, x)","F",0
2256,0,0,0,0.000000," ","integrate((x**2-1)/(1+x)**(1/2)/(x**2+1)/(1+(1+(1+x)**(1/2))**(1/2))**(1/2),x)","\int \frac{\left(x - 1\right) \sqrt{x + 1}}{\left(x^{2} + 1\right) \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}}\, dx"," ",0,"Integral((x - 1)*sqrt(x + 1)/((x**2 + 1)*sqrt(sqrt(sqrt(x + 1) + 1) + 1)), x)","F",0
2257,0,0,0,0.000000," ","integrate((x**2-1)/(1+x)**(1/2)/(x**2+1)/(1+(1+(1+x)**(1/2))**(1/2))**(1/2),x)","\int \frac{\left(x - 1\right) \sqrt{x + 1}}{\left(x^{2} + 1\right) \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}}\, dx"," ",0,"Integral((x - 1)*sqrt(x + 1)/((x**2 + 1)*sqrt(sqrt(sqrt(x + 1) + 1) + 1)), x)","F",0
2258,0,0,0,0.000000," ","integrate(1/(1-x**(1/2))**(1/2)-(1-x**(1/2)-x)**(1/2),x)","- \int \left(- \frac{1}{\sqrt{1 - \sqrt{x}}}\right)\, dx - \int \sqrt{- \sqrt{x} - x + 1}\, dx"," ",0,"-Integral(-1/sqrt(1 - sqrt(x)), x) - Integral(sqrt(-sqrt(x) - x + 1), x)","F",0
2259,0,0,0,0.000000," ","integrate((-5+x)/(x**2-x-2)**(1/3)/(x**2+4*x-3),x)","\int \frac{x - 5}{\sqrt[3]{\left(x - 2\right) \left(x + 1\right)} \left(x^{2} + 4 x - 3\right)}\, dx"," ",0,"Integral((x - 5)/(((x - 2)*(x + 1))**(1/3)*(x**2 + 4*x - 3)), x)","F",0
2260,-1,0,0,0.000000," ","integrate((-a+x)*(-2*a+b+x)/((-a+x)*(-b+x)**2)**(3/4)/(a+b**2*d-(2*b*d+1)*x+d*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2261,0,0,0,0.000000," ","integrate((1+x)/(x**2+4*x+1)/(-x**3+1)**(1/3),x)","\int \frac{x + 1}{\sqrt[3]{- \left(x - 1\right) \left(x^{2} + x + 1\right)} \left(x^{2} + 4 x + 1\right)}\, dx"," ",0,"Integral((x + 1)/((-(x - 1)*(x**2 + x + 1))**(1/3)*(x**2 + 4*x + 1)), x)","F",0
2262,-1,0,0,0.000000," ","integrate(x**4/(a*x**4-b)**2/(a*x**4+b*x**2)**(1/4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2263,-1,0,0,0.000000," ","integrate(x**4/(a*x**4-b)**2/(a*x**4+b*x**2)**(1/4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2264,-1,0,0,0.000000," ","integrate(x**4/(a*x**4-b)**2/(a*x**4+b*x**2)**(1/4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2265,-1,0,0,0.000000," ","integrate(x**8/(x**4-1)**(1/2)/(x**16-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2266,0,0,0,0.000000," ","integrate((b+(a*x**2+b**2)**(1/2))**(1/2)/(a*x**2+b**2)**4,x)","\int \frac{\sqrt{b + \sqrt{a x^{2} + b^{2}}}}{\left(a x^{2} + b^{2}\right)^{4}}\, dx"," ",0,"Integral(sqrt(b + sqrt(a*x**2 + b**2))/(a*x**2 + b**2)**4, x)","F",0
2267,0,0,0,0.000000," ","integrate((x**2+(x**4+1)**(1/2))**(1/2)/(x**2+1),x)","\int \frac{\sqrt{x^{2} + \sqrt{x^{4} + 1}}}{x^{2} + 1}\, dx"," ",0,"Integral(sqrt(x**2 + sqrt(x**4 + 1))/(x**2 + 1), x)","F",0
2268,0,0,0,0.000000," ","integrate((1-(1-(1-1/x**2)**(1/2))**(1/2))**(1/2)/x,x)","\int \frac{\sqrt{1 - \sqrt{1 - \sqrt{1 - \frac{1}{x^{2}}}}}}{x}\, dx"," ",0,"Integral(sqrt(1 - sqrt(1 - sqrt(1 - 1/x**2)))/x, x)","F",0
2269,0,0,0,0.000000," ","integrate(1/(1+x)/(-x**3+1)**(1/3),x)","\int \frac{1}{\sqrt[3]{- \left(x - 1\right) \left(x^{2} + x + 1\right)} \left(x + 1\right)}\, dx"," ",0,"Integral(1/((-(x - 1)*(x**2 + x + 1))**(1/3)*(x + 1)), x)","F",0
2270,-1,0,0,0.000000," ","integrate((a*b-2*b*x+x**2)*(b**2-2*b*x+x**2)/(x*(-a+x)*(-b+x)**3)**(3/4)/(b*d-(a+d)*x+x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2271,-1,0,0,0.000000," ","integrate((-2*a*b+(a+b)*x)/(x*(-a+x)*(-b+x))**(1/3)/(-a*b+(a+b)*x+(-1+d)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2272,0,0,0,0.000000," ","integrate((x**3-1)**(2/3)*(x**3+1)/x**6/(x**3+2),x)","\int \frac{\left(\left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{2}{3}} \left(x + 1\right) \left(x^{2} - x + 1\right)}{x^{6} \left(x^{3} + 2\right)}\, dx"," ",0,"Integral(((x - 1)*(x**2 + x + 1))**(2/3)*(x + 1)*(x**2 - x + 1)/(x**6*(x**3 + 2)), x)","F",0
2273,0,0,0,0.000000," ","integrate(1/(1+x)/(-2*x**4+3*x**3-2*x**2+3*x-2)**(3/2),x)","\int \frac{1}{\left(- \left(x - 1\right)^{2} \left(2 x^{2} + x + 2\right)\right)^{\frac{3}{2}} \left(x + 1\right)}\, dx"," ",0,"Integral(1/((-(x - 1)**2*(2*x**2 + x + 2))**(3/2)*(x + 1)), x)","F",0
2274,0,0,0,0.000000," ","integrate(x**2*(x**4+x**3)**(1/4)/(x**4-1),x)","\int \frac{x^{2} \sqrt[4]{x^{3} \left(x + 1\right)}}{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}\, dx"," ",0,"Integral(x**2*(x**3*(x + 1))**(1/4)/((x - 1)*(x + 1)*(x**2 + 1)), x)","F",0
2275,0,0,0,0.000000," ","integrate(x**2*(x**4+x**3)**(1/4)/(x**4-1),x)","\int \frac{x^{2} \sqrt[4]{x^{3} \left(x + 1\right)}}{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}\, dx"," ",0,"Integral(x**2*(x**3*(x + 1))**(1/4)/((x - 1)*(x + 1)*(x**2 + 1)), x)","F",0
2276,0,0,0,0.000000," ","integrate(1/(x**3-x)**(1/3)/(x**6+1),x)","\int \frac{1}{\sqrt[3]{x \left(x - 1\right) \left(x + 1\right)} \left(x^{2} + 1\right) \left(x^{4} - x^{2} + 1\right)}\, dx"," ",0,"Integral(1/((x*(x - 1)*(x + 1))**(1/3)*(x**2 + 1)*(x**4 - x**2 + 1)), x)","F",0
2277,0,0,0,0.000000," ","integrate(1/(x**3-x)**(1/3)/(x**6+1),x)","\int \frac{1}{\sqrt[3]{x \left(x - 1\right) \left(x + 1\right)} \left(x^{2} + 1\right) \left(x^{4} - x^{2} + 1\right)}\, dx"," ",0,"Integral(1/((x*(x - 1)*(x + 1))**(1/3)*(x**2 + 1)*(x**4 - x**2 + 1)), x)","F",0
2278,0,0,0,0.000000," ","integrate((x**4-x)**(1/2)/(a*x**6-b),x)","\int \frac{\sqrt{x \left(x - 1\right) \left(x^{2} + x + 1\right)}}{a x^{6} - b}\, dx"," ",0,"Integral(sqrt(x*(x - 1)*(x**2 + x + 1))/(a*x**6 - b), x)","F",0
2279,-1,0,0,0.000000," ","integrate((2*x**8+1)*(2*x**8-2*x**4-1)**(1/4)*(4*x**16-3*x**8+1)/x**10/(2*x**8-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2280,0,0,0,0.000000," ","integrate((a*x**2+b**2)**(3/2)/(b+(a*x**2+b**2)**(1/2))**(1/2),x)","\int \frac{\left(a x^{2} + b^{2}\right)^{\frac{3}{2}}}{\sqrt{b + \sqrt{a x^{2} + b^{2}}}}\, dx"," ",0,"Integral((a*x**2 + b**2)**(3/2)/sqrt(b + sqrt(a*x**2 + b**2)), x)","F",0
2281,0,0,0,0.000000," ","integrate(x*(p*x**6-2*q)*(p*x**6+q)**(1/2)/(b*x**8+a*(p*x**6+q)**2),x)","\int \frac{x \left(p x^{6} - 2 q\right) \sqrt{p x^{6} + q}}{a p^{2} x^{12} + 2 a p q x^{6} + a q^{2} + b x^{8}}\, dx"," ",0,"Integral(x*(p*x**6 - 2*q)*sqrt(p*x**6 + q)/(a*p**2*x**12 + 2*a*p*q*x**6 + a*q**2 + b*x**8), x)","F",0
2282,0,0,0,0.000000," ","integrate((6*x**2-2*x-1)**(1/3)/(-1+6*x),x)","\int \frac{\sqrt[3]{6 x^{2} - 2 x - 1}}{6 x - 1}\, dx"," ",0,"Integral((6*x**2 - 2*x - 1)**(1/3)/(6*x - 1), x)","F",0
2283,-1,0,0,0.000000," ","integrate((-2*a*b*x+(a+b)*x**2)/(x*(-a+x)*(-b+x))**(2/3)/(-a*b+(a+b)*x+(-1+d)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2284,-1,0,0,0.000000," ","integrate(x*(-a*b+x**2)/(x**2*(-a+x)*(-b+x))**(2/3)/(a*b*d-(a*d+b*d+1)*x+d*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2285,0,0,0,0.000000," ","integrate((x**3-2)*(x**3-1)**(2/3)/x**3/(2*x**3-1),x)","\int \frac{\left(\left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{2}{3}} \left(x^{3} - 2\right)}{x^{3} \left(2 x^{3} - 1\right)}\, dx"," ",0,"Integral(((x - 1)*(x**2 + x + 1))**(2/3)*(x**3 - 2)/(x**3*(2*x**3 - 1)), x)","F",0
2286,0,0,0,0.000000," ","integrate((a*x**2-b)*(a*x**4-b*x**2)**(1/4)/(a*x**2+b),x)","\int \frac{\sqrt[4]{x^{2} \left(a x^{2} - b\right)} \left(a x^{2} - b\right)}{a x^{2} + b}\, dx"," ",0,"Integral((x**2*(a*x**2 - b))**(1/4)*(a*x**2 - b)/(a*x**2 + b), x)","F",0
2287,0,0,0,0.000000," ","integrate((x**3+1)/(x**3-1)/(a*x**4+b*x**3+c*x**2+b*x+a)**(1/2),x)","\int \frac{\left(x + 1\right) \left(x^{2} - x + 1\right)}{\left(x - 1\right) \left(x^{2} + x + 1\right) \sqrt{a x^{4} + a + b x^{3} + b x + c x^{2}}}\, dx"," ",0,"Integral((x + 1)*(x**2 - x + 1)/((x - 1)*(x**2 + x + 1)*sqrt(a*x**4 + a + b*x**3 + b*x + c*x**2)), x)","F",0
2288,0,0,0,0.000000," ","integrate((a*x**6-b)/(x**3-x)**(1/3)/(c*x**6-d),x)","\int \frac{a x^{6} - b}{\sqrt[3]{x \left(x - 1\right) \left(x + 1\right)} \left(c x^{6} - d\right)}\, dx"," ",0,"Integral((a*x**6 - b)/((x*(x - 1)*(x + 1))**(1/3)*(c*x**6 - d)), x)","F",0
2289,0,0,0,0.000000," ","integrate((a*x**6-b)/(x**3-x)**(1/3)/(c*x**6-d),x)","\int \frac{a x^{6} - b}{\sqrt[3]{x \left(x - 1\right) \left(x + 1\right)} \left(c x^{6} - d\right)}\, dx"," ",0,"Integral((a*x**6 - b)/((x*(x - 1)*(x + 1))**(1/3)*(c*x**6 - d)), x)","F",0
2290,0,0,0,0.000000," ","integrate(1/(d+(c+(a*x+b)**(1/2))**(1/2))**(1/2),x)","\int \frac{1}{\sqrt{d + \sqrt{c + \sqrt{a x + b}}}}\, dx"," ",0,"Integral(1/sqrt(d + sqrt(c + sqrt(a*x + b))), x)","F",0
2291,0,0,0,0.000000," ","integrate(1/x/(x**2+3*x+3)**(1/3),x)","\int \frac{1}{x \sqrt[3]{x^{2} + 3 x + 3}}\, dx"," ",0,"Integral(1/(x*(x**2 + 3*x + 3)**(1/3)), x)","F",0
2292,-1,0,0,0.000000," ","integrate((-a*b+x**2)/(x**2*(-a+x)*(-b+x))**(1/3)/(a*b*d-(a*d+b*d+1)*x+d*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2293,0,0,0,0.000000," ","integrate((-3+2*x)*(x**3-x+1)**(2/3)/x**3/(x**3+2*x-2),x)","\int \frac{\left(2 x - 3\right) \left(x^{3} - x + 1\right)^{\frac{2}{3}}}{x^{3} \left(x^{3} + 2 x - 2\right)}\, dx"," ",0,"Integral((2*x - 3)*(x**3 - x + 1)**(2/3)/(x**3*(x**3 + 2*x - 2)), x)","F",0
2294,-1,0,0,0.000000," ","integrate((-3+4*x)*(x**3+2*x-1)**(2/3)/x**3/(x**3-4*x+2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2295,0,0,0,0.000000," ","integrate((x**6-13*x**5+65*x**4-150*x**3+135*x**2+27*x-81)**(1/2)/(-1+x),x)","\int \frac{\sqrt{\left(x - 3\right)^{4} \left(x^{2} - x - 1\right)}}{x - 1}\, dx"," ",0,"Integral(sqrt((x - 3)**4*(x**2 - x - 1))/(x - 1), x)","F",0
2296,-1,0,0,0.000000," ","integrate((2*p*x**3-q)*(p**2*x**6+2*p*q*x**3-2*p*q*x**2+q**2)**(1/2)/x**2/(a*p*x**3+a*q+b*x),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2297,0,0,0,0.000000," ","integrate(1/x**2/(x**8+x**7-5*x**6-2*x**5+10*x**4-2*x**3-7*x**2+5*x-1)**(1/3),x)","\int \frac{1}{x^{2} \sqrt[3]{\left(x - 1\right)^{2} \left(x^{2} + x - 1\right)^{3}}}\, dx"," ",0,"Integral(1/(x**2*((x - 1)**2*(x**2 + x - 1)**3)**(1/3)), x)","F",0
2298,0,0,0,0.000000," ","integrate((x**2+1)*(x**2+(x**4+1)**(1/2))**(1/2)/(x**2-1)/(x**4+1)**(1/2),x)","\int \frac{\left(x^{2} + 1\right) \sqrt{x^{2} + \sqrt{x^{4} + 1}}}{\left(x - 1\right) \left(x + 1\right) \sqrt{x^{4} + 1}}\, dx"," ",0,"Integral((x**2 + 1)*sqrt(x**2 + sqrt(x**4 + 1))/((x - 1)*(x + 1)*sqrt(x**4 + 1)), x)","F",0
2299,0,0,0,0.000000," ","integrate((2+x)/(-3+x)/(-x**2+1)**(1/4)/(x**2+1),x)","\int \frac{x + 2}{\sqrt[4]{- \left(x - 1\right) \left(x + 1\right)} \left(x - 3\right) \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x + 2)/((-(x - 1)*(x + 1))**(1/4)*(x - 3)*(x**2 + 1)), x)","F",0
2300,1,162,0,114.318305," ","integrate((a**2*x**3+b**2)**(1/2)*(a**2*x**6+c*x**3+2*b**2)/x/(a**2*x**6-b**2),x)","- \frac{2 b \log{\left(b - \sqrt{a^{2} x^{3} + b^{2}} \right)}}{3} + \frac{2 b \log{\left(b + \sqrt{a^{2} x^{3} + b^{2}} \right)}}{3} + \frac{2 \sqrt{a^{2} x^{3} + b^{2}}}{3} - \frac{\left(a - b\right) \left(3 a b - c\right) \operatorname{atan}{\left(\frac{\sqrt{a^{2} x^{3} + b^{2}}}{\sqrt{a b - b^{2}}} \right)}}{3 a \sqrt{a b - b^{2}}} + \frac{\left(a + b\right) \left(3 a b + c\right) \operatorname{atan}{\left(\frac{\sqrt{a^{2} x^{3} + b^{2}}}{\sqrt{- a b - b^{2}}} \right)}}{3 a \sqrt{- a b - b^{2}}}"," ",0,"-2*b*log(b - sqrt(a**2*x**3 + b**2))/3 + 2*b*log(b + sqrt(a**2*x**3 + b**2))/3 + 2*sqrt(a**2*x**3 + b**2)/3 - (a - b)*(3*a*b - c)*atan(sqrt(a**2*x**3 + b**2)/sqrt(a*b - b**2))/(3*a*sqrt(a*b - b**2)) + (a + b)*(3*a*b + c)*atan(sqrt(a**2*x**3 + b**2)/sqrt(-a*b - b**2))/(3*a*sqrt(-a*b - b**2))","A",0
2301,-1,0,0,0.000000," ","integrate((2*x**8-x**4+1)/(x**4+1)**(1/4)/(x**8-2*x**4-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2302,0,0,0,0.000000," ","integrate((x**2-1)*(x**2+(x**4+1)**(1/2))**(1/2)/(x**2+1)/(x**4+1)**(1/2),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \sqrt{x^{2} + \sqrt{x^{4} + 1}}}{\left(x^{2} + 1\right) \sqrt{x^{4} + 1}}\, dx"," ",0,"Integral((x - 1)*(x + 1)*sqrt(x**2 + sqrt(x**4 + 1))/((x**2 + 1)*sqrt(x**4 + 1)), x)","F",0
2303,0,0,0,0.000000," ","integrate(x/(x+(c+(a*x+b)**(1/2))**(1/2)),x)","\int \frac{x}{x + \sqrt{c + \sqrt{a x + b}}}\, dx"," ",0,"Integral(x/(x + sqrt(c + sqrt(a*x + b))), x)","F",0
2304,0,0,0,0.000000," ","integrate(x/(x+(c+(a*x+b)**(1/2))**(1/2)),x)","\int \frac{x}{x + \sqrt{c + \sqrt{a x + b}}}\, dx"," ",0,"Integral(x/(x + sqrt(c + sqrt(a*x + b))), x)","F",0
2305,0,0,0,0.000000," ","integrate(1/(1+x)/(x**2-x+1)**(1/3),x)","\int \frac{1}{\left(x + 1\right) \sqrt[3]{x^{2} - x + 1}}\, dx"," ",0,"Integral(1/((x + 1)*(x**2 - x + 1)**(1/3)), x)","F",0
2306,0,0,0,0.000000," ","integrate((x**4+1)*(x**4-x**3)**(1/4)/x**4/(x**4-1),x)","\int \frac{\sqrt[4]{x^{3} \left(x - 1\right)} \left(x^{4} + 1\right)}{x^{4} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x**3*(x - 1))**(1/4)*(x**4 + 1)/(x**4*(x - 1)*(x + 1)*(x**2 + 1)), x)","F",0
2307,0,0,0,0.000000," ","integrate((x**4+1)*(x**4-x**3)**(1/4)/x**4/(x**4-1),x)","\int \frac{\sqrt[4]{x^{3} \left(x - 1\right)} \left(x^{4} + 1\right)}{x^{4} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x**3*(x - 1))**(1/4)*(x**4 + 1)/(x**4*(x - 1)*(x + 1)*(x**2 + 1)), x)","F",0
2308,0,0,0,0.000000," ","integrate((a*x**3+b*x)**(1/3)*(a*x**4+b)/x**4,x)","\int \frac{\sqrt[3]{x \left(a x^{2} + b\right)} \left(a x^{4} + b\right)}{x^{4}}\, dx"," ",0,"Integral((x*(a*x**2 + b))**(1/3)*(a*x**4 + b)/x**4, x)","F",0
2309,0,0,0,0.000000," ","integrate((a**4*x**4+b**4)/(a**2*x**3-b**2*x)**(1/2)/(a**4*x**4-b**4),x)","\int \frac{a^{4} x^{4} + b^{4}}{\sqrt{x \left(a x - b\right) \left(a x + b\right)} \left(a x - b\right) \left(a x + b\right) \left(a^{2} x^{2} + b^{2}\right)}\, dx"," ",0,"Integral((a**4*x**4 + b**4)/(sqrt(x*(a*x - b)*(a*x + b))*(a*x - b)*(a*x + b)*(a**2*x**2 + b**2)), x)","F",0
2310,0,0,0,0.000000," ","integrate((1+x)/(x**3-1)/(x**8-16*x**6+96*x**4-256*x**2+256)**(1/8),x)","\int \frac{x + 1}{\sqrt[8]{\left(x - 2\right)^{4} \left(x + 2\right)^{4}} \left(x - 1\right) \left(x^{2} + x + 1\right)}\, dx"," ",0,"Integral((x + 1)/(((x - 2)**4*(x + 2)**4)**(1/8)*(x - 1)*(x**2 + x + 1)), x)","F",0
2311,0,0,0,0.000000," ","integrate(1/x**2/(x**8-5*x**7+7*x**6+2*x**5-10*x**4+2*x**3+5*x**2-x-1)**(1/3),x)","\int \frac{1}{x^{2} \sqrt[3]{\left(x - 1\right)^{2} \left(x^{2} - x - 1\right)^{3}}}\, dx"," ",0,"Integral(1/(x**2*((x - 1)**2*(x**2 - x - 1)**3)**(1/3)), x)","F",0
2312,0,0,0,0.000000," ","integrate(c*x**6*(a*x**5-4*b)/(a*x**5+b)**(3/4)/(a**2*x**10-c**2*x**8+2*a*b*x**5+b**2),x)","c \left(\int \frac{a x^{11}}{a^{2} x^{10} \left(a x^{5} + b\right)^{\frac{3}{4}} + 2 a b x^{5} \left(a x^{5} + b\right)^{\frac{3}{4}} + b^{2} \left(a x^{5} + b\right)^{\frac{3}{4}} - c^{2} x^{8} \left(a x^{5} + b\right)^{\frac{3}{4}}}\, dx + \int \left(- \frac{4 b x^{6}}{a^{2} x^{10} \left(a x^{5} + b\right)^{\frac{3}{4}} + 2 a b x^{5} \left(a x^{5} + b\right)^{\frac{3}{4}} + b^{2} \left(a x^{5} + b\right)^{\frac{3}{4}} - c^{2} x^{8} \left(a x^{5} + b\right)^{\frac{3}{4}}}\right)\, dx\right)"," ",0,"c*(Integral(a*x**11/(a**2*x**10*(a*x**5 + b)**(3/4) + 2*a*b*x**5*(a*x**5 + b)**(3/4) + b**2*(a*x**5 + b)**(3/4) - c**2*x**8*(a*x**5 + b)**(3/4)), x) + Integral(-4*b*x**6/(a**2*x**10*(a*x**5 + b)**(3/4) + 2*a*b*x**5*(a*x**5 + b)**(3/4) + b**2*(a*x**5 + b)**(3/4) - c**2*x**8*(a*x**5 + b)**(3/4)), x))","F",0
2313,0,0,0,0.000000," ","integrate(x**2*(a*x+(a*x-b)**(1/2))**(1/2)/(a*x-b)**(1/2),x)","\int \frac{x^{2} \sqrt{a x + \sqrt{a x - b}}}{\sqrt{a x - b}}\, dx"," ",0,"Integral(x**2*sqrt(a*x + sqrt(a*x - b))/sqrt(a*x - b), x)","F",0
2314,0,0,0,0.000000," ","integrate((a*k**4*x**4+b*x**2+a)/((1-x)*x*(-k**2*x+1))**(1/2)/(k**4*x**4-1),x)","\int \frac{a k^{4} x^{4} + a + b x^{2}}{\sqrt{x \left(x - 1\right) \left(k^{2} x - 1\right)} \left(k x - 1\right) \left(k x + 1\right) \left(k^{2} x^{2} + 1\right)}\, dx"," ",0,"Integral((a*k**4*x**4 + a + b*x**2)/(sqrt(x*(x - 1)*(k**2*x - 1))*(k*x - 1)*(k*x + 1)*(k**2*x**2 + 1)), x)","F",0
2315,0,0,0,0.000000," ","integrate((p*x**3-2*q)*(p**2*x**6-2*p*q*x**4+2*p*q*x**3+q**2)**(1/2)*(a*p**2*x**6+2*a*p*q*x**3+b*x**4+a*q**2)/x**9,x)","\int \frac{\left(p x^{3} - 2 q\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}}\, dx"," ",0,"Integral((p*x**3 - 2*q)*sqrt(p**2*x**6 - 2*p*q*x**4 + 2*p*q*x**3 + q**2)*(a*p**2*x**6 + 2*a*p*q*x**3 + a*q**2 + b*x**4)/x**9, x)","F",0
2316,0,0,0,0.000000," ","integrate((x**3-1)/(x**3+1)/(a*x**4+b*x**3+c*x**2+b*x+a)**(1/2),x)","\int \frac{\left(x - 1\right) \left(x^{2} + x + 1\right)}{\left(x + 1\right) \left(x^{2} - x + 1\right) \sqrt{a x^{4} + a + b x^{3} + b x + c x^{2}}}\, dx"," ",0,"Integral((x - 1)*(x**2 + x + 1)/((x + 1)*(x**2 - x + 1)*sqrt(a*x**4 + a + b*x**3 + b*x + c*x**2)), x)","F",0
2317,0,0,0,0.000000," ","integrate((5*x-4*(1+k)*x**2+3*k*x**3)/((1-x)*x*(-k*x+1))**(1/3)/(-1+(1+k)*x-k*x**2+b*x**5),x)","\int \frac{x \left(3 k x^{2} - 4 k x - 4 x + 5\right)}{\sqrt[3]{x \left(x - 1\right) \left(k x - 1\right)} \left(b x^{5} - k x^{2} + k x + x - 1\right)}\, dx"," ",0,"Integral(x*(3*k*x**2 - 4*k*x - 4*x + 5)/((x*(x - 1)*(k*x - 1))**(1/3)*(b*x**5 - k*x**2 + k*x + x - 1)), x)","F",0
2318,0,0,0,0.000000," ","integrate(x**2*(8-7*(1+k)*x+6*k*x**2)/((1-x)*x*(-k*x+1))**(1/3)/(-1+(1+k)*x-k*x**2+b*x**8),x)","\int \frac{x^{2} \left(6 k x^{2} - 7 k x - 7 x + 8\right)}{\sqrt[3]{x \left(x - 1\right) \left(k x - 1\right)} \left(b x^{8} - k x^{2} + k x + x - 1\right)}\, dx"," ",0,"Integral(x**2*(6*k*x**2 - 7*k*x - 7*x + 8)/((x*(x - 1)*(k*x - 1))**(1/3)*(b*x**8 - k*x**2 + k*x + x - 1)), x)","F",0
2319,-1,0,0,0.000000," ","integrate(x*(-a*b+x**2)/(x**2*(-a+x)*(-b+x))**(2/3)/(a*b-(a+b+d)*x+x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2320,1,153,0,3.679263," ","integrate((x**3+b)*(x**3+c)/(x**3+a)**(1/3),x)","\frac{b c x \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {\frac{x^{3} e^{i \pi}}{a}} \right)}}{3 \sqrt[3]{a} \Gamma\left(\frac{4}{3}\right)} + \frac{b x^{4} \Gamma\left(\frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{4}{3} \\ \frac{7}{3} \end{matrix}\middle| {\frac{x^{3} e^{i \pi}}{a}} \right)}}{3 \sqrt[3]{a} \Gamma\left(\frac{7}{3}\right)} + \frac{c x^{4} \Gamma\left(\frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{4}{3} \\ \frac{7}{3} \end{matrix}\middle| {\frac{x^{3} e^{i \pi}}{a}} \right)}}{3 \sqrt[3]{a} \Gamma\left(\frac{7}{3}\right)} + \frac{x^{7} \Gamma\left(\frac{7}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{7}{3} \\ \frac{10}{3} \end{matrix}\middle| {\frac{x^{3} e^{i \pi}}{a}} \right)}}{3 \sqrt[3]{a} \Gamma\left(\frac{10}{3}\right)}"," ",0,"b*c*x*gamma(1/3)*hyper((1/3, 1/3), (4/3,), x**3*exp_polar(I*pi)/a)/(3*a**(1/3)*gamma(4/3)) + b*x**4*gamma(4/3)*hyper((1/3, 4/3), (7/3,), x**3*exp_polar(I*pi)/a)/(3*a**(1/3)*gamma(7/3)) + c*x**4*gamma(4/3)*hyper((1/3, 4/3), (7/3,), x**3*exp_polar(I*pi)/a)/(3*a**(1/3)*gamma(7/3)) + x**7*gamma(7/3)*hyper((1/3, 7/3), (10/3,), x**3*exp_polar(I*pi)/a)/(3*a**(1/3)*gamma(10/3))","C",0
2321,0,0,0,0.000000," ","integrate(1/(x**3+1)/(x**3-x**2)**(1/3),x)","\int \frac{1}{\sqrt[3]{x^{2} \left(x - 1\right)} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(1/((x**2*(x - 1))**(1/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
2322,0,0,0,0.000000," ","integrate(1/(x**3+1)/(x**3-x**2)**(1/3),x)","\int \frac{1}{\sqrt[3]{x^{2} \left(x - 1\right)} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(1/((x**2*(x - 1))**(1/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
2323,-1,0,0,0.000000," ","integrate((p*x**3-2*q)*(p**2*x**6-2*p*q*x**4+2*p*q*x**3+q**2)**(1/2)/x**3/(a*p*x**3+b*x**2+a*q),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2324,0,0,0,0.000000," ","integrate((x**6+x**2)**(1/4)*(x**8+1)/x**4/(x**4-1),x)","\int \frac{\sqrt[4]{x^{2} \left(x^{4} + 1\right)} \left(x^{8} + 1\right)}{x^{4} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x**2*(x**4 + 1))**(1/4)*(x**8 + 1)/(x**4*(x - 1)*(x + 1)*(x**2 + 1)), x)","F",0
2325,0,0,0,0.000000," ","integrate((x**6+x**2)**(1/4)*(x**8+1)/x**4/(x**4-1),x)","\int \frac{\sqrt[4]{x^{2} \left(x^{4} + 1\right)} \left(x^{8} + 1\right)}{x^{4} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x**2*(x**4 + 1))**(1/4)*(x**8 + 1)/(x**4*(x - 1)*(x + 1)*(x**2 + 1)), x)","F",0
2326,0,0,0,0.000000," ","integrate(1/x/(x**2-3*x+2)**(1/3),x)","\int \frac{1}{x \sqrt[3]{\left(x - 2\right) \left(x - 1\right)}}\, dx"," ",0,"Integral(1/(x*((x - 2)*(x - 1))**(1/3)), x)","F",0
2327,-1,0,0,0.000000," ","integrate((a*b-x**2)/(x**2*(-a+x)*(-b+x))**(1/3)/(a*b-(a+b+d)*x+x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2328,0,0,0,0.000000," ","integrate((2*p*x**3-q)*(p**2*x**6+2*p*q*x**3-2*p*q*x**2+q**2)**(1/2)*(b*x**2+a*(p*x**3+q)**2)/x**5,x)","\int \frac{\left(2 p x^{3} - q\right) \sqrt{p^{2} x^{6} + 2 p q x^{3} - 2 p q x^{2} + q^{2}} \left(a p^{2} x^{6} + 2 a p q x^{3} + a q^{2} + b x^{2}\right)}{x^{5}}\, dx"," ",0,"Integral((2*p*x**3 - q)*sqrt(p**2*x**6 + 2*p*q*x**3 - 2*p*q*x**2 + q**2)*(a*p**2*x**6 + 2*a*p*q*x**3 + a*q**2 + b*x**2)/x**5, x)","F",0
2329,0,0,0,0.000000," ","integrate((1+x)/(-1+x)/(1+(1+(1+x)**(1/2))**(1/2))**(1/2),x)","\int \frac{x + 1}{\left(x - 1\right) \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}}\, dx"," ",0,"Integral((x + 1)/((x - 1)*sqrt(sqrt(sqrt(x + 1) + 1) + 1)), x)","F",0
2330,0,0,0,0.000000," ","integrate((1+x)/(-1+x)/(1+(1+(1+x)**(1/2))**(1/2))**(1/2),x)","\int \frac{x + 1}{\left(x - 1\right) \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}}\, dx"," ",0,"Integral((x + 1)/((x - 1)*sqrt(sqrt(sqrt(x + 1) + 1) + 1)), x)","F",0
2331,0,0,0,0.000000," ","integrate(1/(d+c*x+(a*x+(a**2*x**2+b**2)**(1/2))**(1/2)),x)","\int \frac{1}{c x + d + \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}}\, dx"," ",0,"Integral(1/(c*x + d + sqrt(a*x + sqrt(a**2*x**2 + b**2))), x)","F",0
2332,0,0,0,0.000000," ","integrate(1/(d+c*x+(a*x+(a**2*x**2+b**2)**(1/2))**(1/2)),x)","\int \frac{1}{c x + d + \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}}\, dx"," ",0,"Integral(1/(c*x + d + sqrt(a*x + sqrt(a**2*x**2 + b**2))), x)","F",0
2333,1,320,0,2.959152," ","integrate((c*x-d)/x**7/(a*x**3-b)**(1/3),x)","c \left(\begin{cases} - \frac{a^{\frac{5}{3}} \left(-1 + \frac{b}{a x^{3}}\right)^{\frac{2}{3}} e^{- \frac{i \pi}{3}} \Gamma\left(- \frac{5}{3}\right)}{3 b^{2} \Gamma\left(\frac{1}{3}\right)} - \frac{2 a^{\frac{2}{3}} \left(-1 + \frac{b}{a x^{3}}\right)^{\frac{2}{3}} e^{- \frac{i \pi}{3}} \Gamma\left(- \frac{5}{3}\right)}{9 b x^{3} \Gamma\left(\frac{1}{3}\right)} & \text{for}\: \left|{\frac{b}{a x^{3}}}\right| > 1 \\\frac{3 a^{\frac{11}{3}} x^{6} \left(1 - \frac{b}{a x^{3}}\right)^{\frac{2}{3}} \Gamma\left(- \frac{5}{3}\right)}{9 a^{2} b^{2} x^{6} \Gamma\left(\frac{1}{3}\right) - 9 a b^{3} x^{3} \Gamma\left(\frac{1}{3}\right)} - \frac{a^{\frac{8}{3}} b x^{3} \left(1 - \frac{b}{a x^{3}}\right)^{\frac{2}{3}} \Gamma\left(- \frac{5}{3}\right)}{9 a^{2} b^{2} x^{6} \Gamma\left(\frac{1}{3}\right) - 9 a b^{3} x^{3} \Gamma\left(\frac{1}{3}\right)} - \frac{2 a^{\frac{5}{3}} b^{2} \left(1 - \frac{b}{a x^{3}}\right)^{\frac{2}{3}} \Gamma\left(- \frac{5}{3}\right)}{9 a^{2} b^{2} x^{6} \Gamma\left(\frac{1}{3}\right) - 9 a b^{3} x^{3} \Gamma\left(\frac{1}{3}\right)} & \text{otherwise} \end{cases}\right) + \frac{d \Gamma\left(\frac{7}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{7}{3} \\ \frac{10}{3} \end{matrix}\middle| {\frac{b e^{2 i \pi}}{a x^{3}}} \right)}}{3 \sqrt[3]{a} x^{7} \Gamma\left(\frac{10}{3}\right)}"," ",0,"c*Piecewise((-a**(5/3)*(-1 + b/(a*x**3))**(2/3)*exp(-I*pi/3)*gamma(-5/3)/(3*b**2*gamma(1/3)) - 2*a**(2/3)*(-1 + b/(a*x**3))**(2/3)*exp(-I*pi/3)*gamma(-5/3)/(9*b*x**3*gamma(1/3)), Abs(b/(a*x**3)) > 1), (3*a**(11/3)*x**6*(1 - b/(a*x**3))**(2/3)*gamma(-5/3)/(9*a**2*b**2*x**6*gamma(1/3) - 9*a*b**3*x**3*gamma(1/3)) - a**(8/3)*b*x**3*(1 - b/(a*x**3))**(2/3)*gamma(-5/3)/(9*a**2*b**2*x**6*gamma(1/3) - 9*a*b**3*x**3*gamma(1/3)) - 2*a**(5/3)*b**2*(1 - b/(a*x**3))**(2/3)*gamma(-5/3)/(9*a**2*b**2*x**6*gamma(1/3) - 9*a*b**3*x**3*gamma(1/3)), True)) + d*gamma(7/3)*hyper((1/3, 7/3), (10/3,), b*exp_polar(2*I*pi)/(a*x**3))/(3*a**(1/3)*x**7*gamma(10/3))","C",0
2334,0,0,0,0.000000," ","integrate((x**4+x**2+1)/(-x**4+1)/(x**5+x**3)**(1/4),x)","- \int \frac{x^{2}}{x^{4} \sqrt[4]{x^{5} + x^{3}} - \sqrt[4]{x^{5} + x^{3}}}\, dx - \int \frac{x^{4}}{x^{4} \sqrt[4]{x^{5} + x^{3}} - \sqrt[4]{x^{5} + x^{3}}}\, dx - \int \frac{1}{x^{4} \sqrt[4]{x^{5} + x^{3}} - \sqrt[4]{x^{5} + x^{3}}}\, dx"," ",0,"-Integral(x**2/(x**4*(x**5 + x**3)**(1/4) - (x**5 + x**3)**(1/4)), x) - Integral(x**4/(x**4*(x**5 + x**3)**(1/4) - (x**5 + x**3)**(1/4)), x) - Integral(1/(x**4*(x**5 + x**3)**(1/4) - (x**5 + x**3)**(1/4)), x)","F",0
2335,-1,0,0,0.000000," ","integrate((2*x**4-1)**(1/2)*(2*x**8-1)/x**7/(x**8+2*x**4-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2336,0,0,0,0.000000," ","integrate((1+x)**(1/2)*(1+(1+x)**(1/2))**(1/2)/x/(1+(1+(1+x)**(1/2))**(1/2))**(1/2),x)","\int \frac{\sqrt{x + 1} \sqrt{\sqrt{x + 1} + 1}}{x \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}}\, dx"," ",0,"Integral(sqrt(x + 1)*sqrt(sqrt(x + 1) + 1)/(x*sqrt(sqrt(sqrt(x + 1) + 1) + 1)), x)","F",0
2337,0,0,0,0.000000," ","integrate((1+x)/(3+x)/(1+2*x)/(x**2+1)**(1/3),x)","\int \frac{x + 1}{\left(x + 3\right) \left(2 x + 1\right) \sqrt[3]{x^{2} + 1}}\, dx"," ",0,"Integral((x + 1)/((x + 3)*(2*x + 1)*(x**2 + 1)**(1/3)), x)","F",0
2338,0,0,0,0.000000," ","integrate((x**3-x**2)**(1/3)/(x**2+x+1),x)","\int \frac{\sqrt[3]{x^{2} \left(x - 1\right)}}{x^{2} + x + 1}\, dx"," ",0,"Integral((x**2*(x - 1))**(1/3)/(x**2 + x + 1), x)","F",0
2339,0,0,0,0.000000," ","integrate((x**3-x**2)**(1/3)/(x**2+x+1),x)","\int \frac{\sqrt[3]{x^{2} \left(x - 1\right)}}{x^{2} + x + 1}\, dx"," ",0,"Integral((x**2*(x - 1))**(1/3)/(x**2 + x + 1), x)","F",0
2340,0,0,0,0.000000," ","integrate(x*(5-4*(1+k)*x+3*k*x**2)/((1-x)*x*(-k*x+1))**(1/3)/(-b+(b*k+b)*x-b*k*x**2+x**5),x)","\int \frac{x \left(3 k x^{2} - 4 k x - 4 x + 5\right)}{\sqrt[3]{x \left(x - 1\right) \left(k x - 1\right)} \left(- b k x^{2} + b k x + b x - b + x^{5}\right)}\, dx"," ",0,"Integral(x*(3*k*x**2 - 4*k*x - 4*x + 5)/((x*(x - 1)*(k*x - 1))**(1/3)*(-b*k*x**2 + b*k*x + b*x - b + x**5)), x)","F",0
2341,0,0,0,0.000000," ","integrate((x**4+1)/(-x**4+1)/(x**5+x**3)**(1/4),x)","- \int \frac{x^{4}}{x^{4} \sqrt[4]{x^{5} + x^{3}} - \sqrt[4]{x^{5} + x^{3}}}\, dx - \int \frac{1}{x^{4} \sqrt[4]{x^{5} + x^{3}} - \sqrt[4]{x^{5} + x^{3}}}\, dx"," ",0,"-Integral(x**4/(x**4*(x**5 + x**3)**(1/4) - (x**5 + x**3)**(1/4)), x) - Integral(1/(x**4*(x**5 + x**3)**(1/4) - (x**5 + x**3)**(1/4)), x)","F",0
2342,-1,0,0,0.000000," ","integrate((x**3+1)**(2/3)*(x**6+x**3+2)/x**6/(x**3-2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2343,0,0,0,0.000000," ","integrate((x**8+1)/(x**6+x**2)**(1/4)/(x**8-1),x)","\int \frac{x^{8} + 1}{\sqrt[4]{x^{2} \left(x^{4} + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \left(x^{4} + 1\right)}\, dx"," ",0,"Integral((x**8 + 1)/((x**2*(x**4 + 1))**(1/4)*(x - 1)*(x + 1)*(x**2 + 1)*(x**4 + 1)), x)","F",0
2344,0,0,0,0.000000," ","integrate((x**8+1)/(x**6+x**2)**(1/4)/(x**8-1),x)","\int \frac{x^{8} + 1}{\sqrt[4]{x^{2} \left(x^{4} + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \left(x^{4} + 1\right)}\, dx"," ",0,"Integral((x**8 + 1)/((x**2*(x**4 + 1))**(1/4)*(x - 1)*(x + 1)*(x**2 + 1)*(x**4 + 1)), x)","F",0
2345,0,0,0,0.000000," ","integrate(x**2*(8-7*(1+k)*x+6*k*x**2)/((1-x)*x*(-k*x+1))**(1/3)/(-b+b*(1+k)*x-b*k*x**2+x**8),x)","\int \frac{x^{2} \left(6 k x^{2} - 7 k x - 7 x + 8\right)}{\sqrt[3]{x \left(x - 1\right) \left(k x - 1\right)} \left(- b k x^{2} + b k x + b x - b + x^{8}\right)}\, dx"," ",0,"Integral(x**2*(6*k*x**2 - 7*k*x - 7*x + 8)/((x*(x - 1)*(k*x - 1))**(1/3)*(-b*k*x**2 + b*k*x + b*x - b + x**8)), x)","F",0
2346,0,0,0,0.000000," ","integrate(1/(x**2+1)**2/(x+(x**2+1)**(1/2))**(1/2),x)","\int \frac{1}{\sqrt{x + \sqrt{x^{2} + 1}} \left(x^{2} + 1\right)^{2}}\, dx"," ",0,"Integral(1/(sqrt(x + sqrt(x**2 + 1))*(x**2 + 1)**2), x)","F",0
2347,-1,0,0,0.000000," ","integrate(x*(-a+x)*(a*b+(a-2*b)*x)/(x*(-a+x)*(-b+x)**2)**(3/4)/(b**2*d+(-2*b*d+a)*x+(-1+d)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2348,-1,0,0,0.000000," ","integrate((x**2+1)*(x**4-3*x**2+1)/x**2/((2*x**2+x-2)/(x**2+x-1))**(1/2)/(x**4+x**3-3*x**2-x+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2349,0,0,0,0.000000," ","integrate(x**3*(5-4*(1+k)*x+3*k*x**2)/((1-x)*x*(-k*x+1))**(2/3)/(-1+(1+k)*x-k*x**2+b*x**5),x)","\int \frac{x^{3} \left(3 k x^{2} - 4 k x - 4 x + 5\right)}{\left(x \left(x - 1\right) \left(k x - 1\right)\right)^{\frac{2}{3}} \left(b x^{5} - k x^{2} + k x + x - 1\right)}\, dx"," ",0,"Integral(x**3*(3*k*x**2 - 4*k*x - 4*x + 5)/((x*(x - 1)*(k*x - 1))**(2/3)*(b*x**5 - k*x**2 + k*x + x - 1)), x)","F",0
2350,-1,0,0,0.000000," ","integrate((x**4-2)*(x**4+2)**(1/2)/(x**8+3*x**4+4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2351,0,0,0,0.000000," ","integrate((x**8-5*x**7+7*x**6+2*x**5-10*x**4+2*x**3+5*x**2-x-1)**(1/3)/x**2,x)","\int \frac{\sqrt[3]{\left(x - 1\right)^{2} \left(x^{2} - x - 1\right)^{3}}}{x^{2}}\, dx"," ",0,"Integral(((x - 1)**2*(x**2 - x - 1)**3)**(1/3)/x**2, x)","F",0
2352,0,0,0,0.000000," ","integrate((a**2*x**2-b)*(a*x**2+(a**2*x**4+b)**(1/2))**(1/2)/(a**2*x**4+b)**(1/2),x)","\int \frac{\sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}} \left(a^{2} x^{2} - b\right)}{\sqrt{a^{2} x^{4} + b}}\, dx"," ",0,"Integral(sqrt(a*x**2 + sqrt(a**2*x**4 + b))*(a**2*x**2 - b)/sqrt(a**2*x**4 + b), x)","F",0
2353,0,0,0,0.000000," ","integrate((1+x)**(1/2)/(x+(x+(1+x)**(1/2))**(1/2)),x)","\int \frac{\sqrt{x + 1}}{x + \sqrt{x + \sqrt{x + 1}}}\, dx"," ",0,"Integral(sqrt(x + 1)/(x + sqrt(x + sqrt(x + 1))), x)","F",0
2354,0,0,0,0.000000," ","integrate((1+x)**(1/2)/(x+(x+(1+x)**(1/2))**(1/2)),x)","\int \frac{\sqrt{x + 1}}{x + \sqrt{x + \sqrt{x + 1}}}\, dx"," ",0,"Integral(sqrt(x + 1)/(x + sqrt(x + sqrt(x + 1))), x)","F",0
2355,0,0,0,0.000000," ","integrate((-I+k**(1/2)*x)/(I+k**(1/2)*x)/((-x**2+1)*(-k**2*x**2+1))**(1/2),x)","\int \frac{\sqrt{k} x - i}{\sqrt{\left(x - 1\right) \left(x + 1\right) \left(k x - 1\right) \left(k x + 1\right)} \left(\sqrt{k} x + i\right)}\, dx"," ",0,"Integral((sqrt(k)*x - I)/(sqrt((x - 1)*(x + 1)*(k*x - 1)*(k*x + 1))*(sqrt(k)*x + I)), x)","F",0
2356,0,0,0,0.000000," ","integrate((I+k**(1/2)*x)/(-I+k**(1/2)*x)/((-x**2+1)*(-k**2*x**2+1))**(1/2),x)","\int \frac{\sqrt{k} x + i}{\sqrt{\left(x - 1\right) \left(x + 1\right) \left(k x - 1\right) \left(k x + 1\right)} \left(\sqrt{k} x - i\right)}\, dx"," ",0,"Integral((sqrt(k)*x + I)/(sqrt((x - 1)*(x + 1)*(k*x - 1)*(k*x + 1))*(sqrt(k)*x - I)), x)","F",0
2357,-1,0,0,0.000000," ","integrate(1/(x**3-3*x**2+3*x-1)**(1/4)/(3*x**3+x**2-2*x-1)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2358,0,0,0,0.000000," ","integrate((a*x**4+b*x**3)**(1/4)/x**2/(c*x**2-d),x)","\int \frac{\sqrt[4]{x^{3} \left(a x + b\right)}}{x^{2} \left(c x^{2} - d\right)}\, dx"," ",0,"Integral((x**3*(a*x + b))**(1/4)/(x**2*(c*x**2 - d)), x)","F",0
2359,0,0,0,0.000000," ","integrate((a*x**4+b*x**3)**(1/4)/x**2/(c*x**2-d),x)","\int \frac{\sqrt[4]{x^{3} \left(a x + b\right)}}{x^{2} \left(c x^{2} - d\right)}\, dx"," ",0,"Integral((x**3*(a*x + b))**(1/4)/(x**2*(c*x**2 - d)), x)","F",0
2360,0,0,0,0.000000," ","integrate(x**4/(x**6+x**2)**(1/4)/(x**8-1),x)","\int \frac{x^{4}}{\sqrt[4]{x^{2} \left(x^{4} + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \left(x^{4} + 1\right)}\, dx"," ",0,"Integral(x**4/((x**2*(x**4 + 1))**(1/4)*(x - 1)*(x + 1)*(x**2 + 1)*(x**4 + 1)), x)","F",0
2361,0,0,0,0.000000," ","integrate(x**4/(x**6+x**2)**(1/4)/(x**8-1),x)","\int \frac{x^{4}}{\sqrt[4]{x^{2} \left(x^{4} + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \left(x^{4} + 1\right)}\, dx"," ",0,"Integral(x**4/((x**2*(x**4 + 1))**(1/4)*(x - 1)*(x + 1)*(x**2 + 1)*(x**4 + 1)), x)","F",0
2362,0,0,0,0.000000," ","integrate((x**4-1)*(x**6+x**2)**(1/4)/(x**8-x**4+1),x)","\int \frac{\sqrt[4]{x^{2} \left(x^{4} + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}{x^{8} - x^{4} + 1}\, dx"," ",0,"Integral((x**2*(x**4 + 1))**(1/4)*(x - 1)*(x + 1)*(x**2 + 1)/(x**8 - x**4 + 1), x)","F",0
2363,0,0,0,0.000000," ","integrate((x**4-1)*(x**6+x**2)**(1/4)/(x**8-x**4+1),x)","\int \frac{\sqrt[4]{x^{2} \left(x^{4} + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}{x^{8} - x^{4} + 1}\, dx"," ",0,"Integral((x**2*(x**4 + 1))**(1/4)*(x - 1)*(x + 1)*(x**2 + 1)/(x**8 - x**4 + 1), x)","F",0
2364,0,0,0,0.000000," ","integrate((x**8-x**4+1)/(x**6+x**2)**(1/4)/(x**8-1),x)","\int \frac{x^{8} - x^{4} + 1}{\sqrt[4]{x^{2} \left(x^{4} + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \left(x^{4} + 1\right)}\, dx"," ",0,"Integral((x**8 - x**4 + 1)/((x**2*(x**4 + 1))**(1/4)*(x - 1)*(x + 1)*(x**2 + 1)*(x**4 + 1)), x)","F",0
2365,0,0,0,0.000000," ","integrate((x**8-x**4+1)/(x**6+x**2)**(1/4)/(x**8-1),x)","\int \frac{x^{8} - x^{4} + 1}{\sqrt[4]{x^{2} \left(x^{4} + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \left(x^{4} + 1\right)}\, dx"," ",0,"Integral((x**8 - x**4 + 1)/((x**2*(x**4 + 1))**(1/4)*(x - 1)*(x + 1)*(x**2 + 1)*(x**4 + 1)), x)","F",0
2366,0,0,0,0.000000," ","integrate(1/(a*x-b)/(x**4-x**3)**(1/4),x)","\int \frac{1}{\sqrt[4]{x^{3} \left(x - 1\right)} \left(a x - b\right)}\, dx"," ",0,"Integral(1/((x**3*(x - 1))**(1/4)*(a*x - b)), x)","F",0
2367,-1,0,0,0.000000," ","integrate((x**2-x)/((1-x)*x*(-k**2*x+1))**(1/2)/(k**2*x**2-2*x+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2368,0,0,0,0.000000," ","integrate((a**3*x**2-b)/(a**3*x**2+b)/(a**3*x**3-b*x**2)**(1/3),x)","\int \frac{a^{3} x^{2} - b}{\sqrt[3]{x^{2} \left(a^{3} x - b\right)} \left(a^{3} x^{2} + b\right)}\, dx"," ",0,"Integral((a**3*x**2 - b)/((x**2*(a**3*x - b))**(1/3)*(a**3*x**2 + b)), x)","F",0
2369,0,0,0,0.000000," ","integrate((a**3*x**2-b)/(a**3*x**2+b)/(a**3*x**3-b*x**2)**(1/3),x)","\int \frac{a^{3} x^{2} - b}{\sqrt[3]{x^{2} \left(a^{3} x - b\right)} \left(a^{3} x^{2} + b\right)}\, dx"," ",0,"Integral((a**3*x**2 - b)/((x**2*(a**3*x - b))**(1/3)*(a**3*x**2 + b)), x)","F",0
2370,0,0,0,0.000000," ","integrate((x**2+1)/(x**2-1)/(a*x**4+b*x**3+c*x**2+b*x+a)**(1/2),x)","\int \frac{x^{2} + 1}{\left(x - 1\right) \left(x + 1\right) \sqrt{a x^{4} + a + b x^{3} + b x + c x^{2}}}\, dx"," ",0,"Integral((x**2 + 1)/((x - 1)*(x + 1)*sqrt(a*x**4 + a + b*x**3 + b*x + c*x**2)), x)","F",0
2371,0,0,0,0.000000," ","integrate(x**4*(x**4-x**2)**(1/4)/(x**8+x**4+1),x)","\int \frac{x^{4} \sqrt[4]{x^{2} \left(x - 1\right) \left(x + 1\right)}}{\left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right) \left(x^{4} - x^{2} + 1\right)}\, dx"," ",0,"Integral(x**4*(x**2*(x - 1)*(x + 1))**(1/4)/((x**2 - x + 1)*(x**2 + x + 1)*(x**4 - x**2 + 1)), x)","F",0
2372,0,0,0,0.000000," ","integrate(x**4*(x**4-x**2)**(1/4)/(x**8+x**4+1),x)","\int \frac{x^{4} \sqrt[4]{x^{2} \left(x - 1\right) \left(x + 1\right)}}{\left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right) \left(x^{4} - x^{2} + 1\right)}\, dx"," ",0,"Integral(x**4*(x**2*(x - 1)*(x + 1))**(1/4)/((x**2 - x + 1)*(x**2 + x + 1)*(x**4 - x**2 + 1)), x)","F",0
2373,0,0,0,0.000000," ","integrate((p*x**3-2*q)*(p*x**3+q)**(1/2)/(c*x**4+b*x**2*(p*x**3+q)+a*(p*x**3+q)**2),x)","\int \frac{\left(p x^{3} - 2 q\right) \sqrt{p x^{3} + q}}{a p^{2} x^{6} + 2 a p q x^{3} + a q^{2} + b p x^{5} + b q x^{2} + c x^{4}}\, dx"," ",0,"Integral((p*x**3 - 2*q)*sqrt(p*x**3 + q)/(a*p**2*x**6 + 2*a*p*q*x**3 + a*q**2 + b*p*x**5 + b*q*x**2 + c*x**4), x)","F",0
2374,0,0,0,0.000000," ","integrate((x**4-1)**2/(x**4+1)**2/(x**2+(x**4+1)**(1/2))**(1/2),x)","\int \frac{\left(x - 1\right)^{2} \left(x + 1\right)^{2} \left(x^{2} + 1\right)^{2}}{\sqrt{x^{2} + \sqrt{x^{4} + 1}} \left(x^{4} + 1\right)^{2}}\, dx"," ",0,"Integral((x - 1)**2*(x + 1)**2*(x**2 + 1)**2/(sqrt(x**2 + sqrt(x**4 + 1))*(x**4 + 1)**2), x)","F",0
2375,0,0,0,0.000000," ","integrate((x**2+(x**4+1)**(1/2))**(1/2)/(x**2+1)**2/(x**4+1)**(1/2),x)","\int \frac{\sqrt{x^{2} + \sqrt{x^{4} + 1}}}{\left(x^{2} + 1\right)^{2} \sqrt{x^{4} + 1}}\, dx"," ",0,"Integral(sqrt(x**2 + sqrt(x**4 + 1))/((x**2 + 1)**2*sqrt(x**4 + 1)), x)","F",0
2376,0,0,0,0.000000," ","integrate((p*x**5+q)**(1/2)*(3*p*x**5-2*q)/(c*x**4+b*x**2*(p*x**5+q)+a*(p*x**5+q)**2),x)","\int \frac{\sqrt{p x^{5} + q} \left(3 p x^{5} - 2 q\right)}{a p^{2} x^{10} + 2 a p q x^{5} + a q^{2} + b p x^{7} + b q x^{2} + c x^{4}}\, dx"," ",0,"Integral(sqrt(p*x**5 + q)*(3*p*x**5 - 2*q)/(a*p**2*x**10 + 2*a*p*q*x**5 + a*q**2 + b*p*x**7 + b*q*x**2 + c*x**4), x)","F",0
2377,0,0,0,0.000000," ","integrate(1/x/(a*x+(a**2*x**2-b)**(1/2))**(1/2)/(c+(a*x+(a**2*x**2-b)**(1/2))**(1/2))**(1/2),x)","\int \frac{1}{x \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} - b}}} \sqrt{a x + \sqrt{a^{2} x^{2} - b}}}\, dx"," ",0,"Integral(1/(x*sqrt(c + sqrt(a*x + sqrt(a**2*x**2 - b)))*sqrt(a*x + sqrt(a**2*x**2 - b))), x)","F",0
2378,0,0,0,0.000000," ","integrate(1/(x**2+1)**(1/3)/(x**2+9),x)","\int \frac{1}{\sqrt[3]{x^{2} + 1} \left(x^{2} + 9\right)}\, dx"," ",0,"Integral(1/((x**2 + 1)**(1/3)*(x**2 + 9)), x)","F",0
2379,0,0,0,0.000000," ","integrate((a**3*x**2+b)/(a**3*x**2-b)/(a**3*x**3-b*x**2)**(1/3),x)","\int \frac{a^{3} x^{2} + b}{\sqrt[3]{x^{2} \left(a^{3} x - b\right)} \left(a^{3} x^{2} - b\right)}\, dx"," ",0,"Integral((a**3*x**2 + b)/((x**2*(a**3*x - b))**(1/3)*(a**3*x**2 - b)), x)","F",0
2380,0,0,0,0.000000," ","integrate((a**3*x**2+b)/(a**3*x**2-b)/(a**3*x**3-b*x**2)**(1/3),x)","\int \frac{a^{3} x^{2} + b}{\sqrt[3]{x^{2} \left(a^{3} x - b\right)} \left(a^{3} x^{2} - b\right)}\, dx"," ",0,"Integral((a**3*x**2 + b)/((x**2*(a**3*x - b))**(1/3)*(a**3*x**2 - b)), x)","F",0
2381,-1,0,0,0.000000," ","integrate((-3-2*(k**2+1)*x+(k**2+1)*x**2+4*k**2*x**3+k**2*x**4)/((-x**2+1)*(-k**2*x**2+1))**(2/3)/(-1+d-(2+d)*x-(d*k**2+1)*x**2+d*k**2*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2382,0,0,0,0.000000," ","integrate((x**5+x**3)**(1/4)*(x**8+x**4+1)/x**4/(x**4-1),x)","\int \frac{\sqrt[4]{x^{3} \left(x^{2} + 1\right)} \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right) \left(x^{4} - x^{2} + 1\right)}{x^{4} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x**3*(x**2 + 1))**(1/4)*(x**2 - x + 1)*(x**2 + x + 1)*(x**4 - x**2 + 1)/(x**4*(x - 1)*(x + 1)*(x**2 + 1)), x)","F",0
2383,0,0,0,0.000000," ","integrate(1/(a*x**2+b)/(x**3+x)**(1/3),x)","\int \frac{1}{\sqrt[3]{x \left(x^{2} + 1\right)} \left(a x^{2} + b\right)}\, dx"," ",0,"Integral(1/((x*(x**2 + 1))**(1/3)*(a*x**2 + b)), x)","F",0
2384,0,0,0,0.000000," ","integrate((a*x**4-b*x**3)**(1/4)/x**2/(c*x**2-d),x)","\int \frac{\sqrt[4]{x^{3} \left(a x - b\right)}}{x^{2} \left(c x^{2} - d\right)}\, dx"," ",0,"Integral((x**3*(a*x - b))**(1/4)/(x**2*(c*x**2 - d)), x)","F",0
2385,0,0,0,0.000000," ","integrate((a*x**4-b*x**3)**(1/4)/x**2/(c*x**2-d),x)","\int \frac{\sqrt[4]{x^{3} \left(a x - b\right)}}{x^{2} \left(c x^{2} - d\right)}\, dx"," ",0,"Integral((x**3*(a*x - b))**(1/4)/(x**2*(c*x**2 - d)), x)","F",0
2386,-1,0,0,0.000000," ","integrate((x**3+x)**(1/3)*(a*x**6+b)/(c*x**6+d),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2387,-1,0,0,0.000000," ","integrate((x**3+x)**(1/3)*(a*x**6+b)/(c*x**6+d),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2388,-1,0,0,0.000000," ","integrate((2*x**6-1)*(x**7+x)**(1/3)/(x**6-2*x**2+1)/(x**6-x**2+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2389,0,0,0,0.000000," ","integrate((2*p*x**3-q)*(p**2*x**6+2*p*q*x**3-2*p*q*x**2+q**2)**(1/2)*(b*x**3+a*(p*x**3+q)**3)/x**6,x)","\int \frac{\left(2 p x^{3} - q\right) \sqrt{p^{2} x^{6} + 2 p q x^{3} - 2 p q x^{2} + q^{2}} \left(a p^{3} x^{9} + 3 a p^{2} q x^{6} + 3 a p q^{2} x^{3} + a q^{3} + b x^{3}\right)}{x^{6}}\, dx"," ",0,"Integral((2*p*x**3 - q)*sqrt(p**2*x**6 + 2*p*q*x**3 - 2*p*q*x**2 + q**2)*(a*p**3*x**9 + 3*a*p**2*q*x**6 + 3*a*p*q**2*x**3 + a*q**3 + b*x**3)/x**6, x)","F",0
2390,-1,0,0,0.000000," ","integrate((-1+(-1+2*k)*x)/((1-x)*x*(-k*x+1))**(1/3)/(1-(2+b)*x+(b*k+1)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2391,-1,0,0,0.000000," ","integrate((-3+2*(k**2+1)*x+(k**2+1)*x**2-4*k**2*x**3+k**2*x**4)/((-x**2+1)*(-k**2*x**2+1))**(2/3)/(1-d-(2+d)*x+(d*k**2+1)*x**2+d*k**2*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2392,0,0,0,0.000000," ","integrate((3*x**6-3*a*x**3+b)/x**6/(2*a*x**3-b)/(a*x**4-b*x)**(1/4),x)","\int \frac{- 3 a x^{3} + b + 3 x^{6}}{x^{6} \sqrt[4]{x \left(a x^{3} - b\right)} \left(2 a x^{3} - b\right)}\, dx"," ",0,"Integral((-3*a*x**3 + b + 3*x**6)/(x**6*(x*(a*x**3 - b))**(1/4)*(2*a*x**3 - b)), x)","F",0
2393,0,0,0,0.000000," ","integrate((p*x**3-2*q)*(p**2*x**6-2*p*q*x**4+2*p*q*x**3+q**2)**(1/2)*(b*x**6+a*(p*x**3+q)**3)/x**11,x)","\int \frac{\left(p x^{3} - 2 q\right) \sqrt{p^{2} x^{6} - 2 p q x^{4} + 2 p q x^{3} + q^{2}} \left(a p^{3} x^{9} + 3 a p^{2} q x^{6} + 3 a p q^{2} x^{3} + a q^{3} + b x^{6}\right)}{x^{11}}\, dx"," ",0,"Integral((p*x**3 - 2*q)*sqrt(p**2*x**6 - 2*p*q*x**4 + 2*p*q*x**3 + q**2)*(a*p**3*x**9 + 3*a*p**2*q*x**6 + 3*a*p*q**2*x**3 + a*q**3 + b*x**6)/x**11, x)","F",0
2394,0,0,0,0.000000," ","integrate(x*(1+x)**(1/2)/(x+(x+(1+x)**(1/2))**(1/2)),x)","\int \frac{x \sqrt{x + 1}}{x + \sqrt{x + \sqrt{x + 1}}}\, dx"," ",0,"Integral(x*sqrt(x + 1)/(x + sqrt(x + sqrt(x + 1))), x)","F",0
2395,0,0,0,0.000000," ","integrate(x*(1+x)**(1/2)/(x+(x+(1+x)**(1/2))**(1/2)),x)","\int \frac{x \sqrt{x + 1}}{x + \sqrt{x + \sqrt{x + 1}}}\, dx"," ",0,"Integral(x*sqrt(x + 1)/(x + sqrt(x + sqrt(x + 1))), x)","F",0
2396,0,0,0,0.000000," ","integrate(x**2/((a*x+b)/(c*x+d))**(1/2),x)","\int \frac{x^{2}}{\sqrt{\frac{a x + b}{c x + d}}}\, dx"," ",0,"Integral(x**2/sqrt((a*x + b)/(c*x + d)), x)","F",0
2397,0,0,0,0.000000," ","integrate((2*a*x+b)/(a*x-b)/(a*x+2*b)/(a*x**2+b*x-1)**(1/4),x)","\int \frac{2 a x + b}{\left(a x - b\right) \left(a x + 2 b\right) \sqrt[4]{a x^{2} + b x - 1}}\, dx"," ",0,"Integral((2*a*x + b)/((a*x - b)*(a*x + 2*b)*(a*x**2 + b*x - 1)**(1/4)), x)","F",0
2398,0,0,0,0.000000," ","integrate((a*k*x+k*x**2-1)/(k*x**2+1)/((-x**2+1)*(-k**2*x**2+1))**(1/2),x)","\int \frac{a k x + k x^{2} - 1}{\sqrt{\left(x - 1\right) \left(x + 1\right) \left(k x - 1\right) \left(k x + 1\right)} \left(k x^{2} + 1\right)}\, dx"," ",0,"Integral((a*k*x + k*x**2 - 1)/(sqrt((x - 1)*(x + 1)*(k*x - 1)*(k*x + 1))*(k*x**2 + 1)), x)","F",0
2399,0,0,0,0.000000," ","integrate((x**3-b)*(x**3+b)/(a*x**2+x**3)**(1/3),x)","\int \frac{\left(- b + x^{3}\right) \left(b + x^{3}\right)}{\sqrt[3]{x^{2} \left(a + x\right)}}\, dx"," ",0,"Integral((-b + x**3)*(b + x**3)/(x**2*(a + x))**(1/3), x)","F",0
2400,0,0,0,0.000000," ","integrate(x/(-x**2+1)/(a*x**4+b*x**3+c*x**2+b*x+a)**(1/2),x)","- \int \frac{x}{x^{2} \sqrt{a x^{4} + a + b x^{3} + b x + c x^{2}} - \sqrt{a x^{4} + a + b x^{3} + b x + c x^{2}}}\, dx"," ",0,"-Integral(x/(x**2*sqrt(a*x**4 + a + b*x**3 + b*x + c*x**2) - sqrt(a*x**4 + a + b*x**3 + b*x + c*x**2)), x)","F",0
2401,0,0,0,0.000000," ","integrate(1/(x**4-1)**(1/4)/(x**8-x**4-1),x)","\int \frac{1}{\sqrt[4]{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)} \left(x^{8} - x^{4} - 1\right)}\, dx"," ",0,"Integral(1/(((x - 1)*(x + 1)*(x**2 + 1))**(1/4)*(x**8 - x**4 - 1)), x)","F",0
2402,-1,0,0,0.000000," ","integrate((2*x**4-1)/(x**4-1)**(1/4)/(x**8-x**4-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2403,0,0,0,0.000000," ","integrate(1/(x**4+1)**(1/4)/(x**8+x**4-1),x)","\int \frac{1}{\sqrt[4]{x^{4} + 1} \left(x^{8} + x^{4} - 1\right)}\, dx"," ",0,"Integral(1/((x**4 + 1)**(1/4)*(x**8 + x**4 - 1)), x)","F",0
2404,-1,0,0,0.000000," ","integrate((x**4-2)/(x**4+1)**(1/4)/(x**8+x**4-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2405,0,0,0,0.000000," ","integrate((a*x**4+b*x**3)**(1/4)*(c*x**8-d)/x**8,x)","\int \frac{\sqrt[4]{x^{3} \left(a x + b\right)} \left(c x^{8} - d\right)}{x^{8}}\, dx"," ",0,"Integral((x**3*(a*x + b))**(1/4)*(c*x**8 - d)/x**8, x)","F",0
2406,-1,0,0,0.000000," ","integrate(x**4*(x**5+2)/(x**5+1)**(1/2)/(a*x**10-x**5-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2407,-1,0,0,0.000000," ","integrate(x**4*(x**5-2)/(x**5-1)**(1/2)/(a*x**10-x**5+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2408,-1,0,0,0.000000," ","integrate(x**4*(x**5+3)/(x**5+1)**(1/2)/(-1+a-(1+2*a)*x**5+a*x**10),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2409,-1,0,0,0.000000," ","integrate(1/(x**2-(a*x+b)**(1/2)*(c+(a*x+b)**(1/2))**(1/2)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2410,-1,0,0,0.000000," ","integrate(1/(x**2-(a*x+b)**(1/2)*(c+(a*x+b)**(1/2))**(1/2)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2411,0,0,0,0.000000," ","integrate(1/(a**2*x**2-b)**(1/2)/(c+(a*x+(a**2*x**2-b)**(1/2))**(1/4))**(2/3),x)","\int \frac{1}{\left(c + \sqrt[4]{a x + \sqrt{a^{2} x^{2} - b}}\right)^{\frac{2}{3}} \sqrt{a^{2} x^{2} - b}}\, dx"," ",0,"Integral(1/((c + (a*x + sqrt(a**2*x**2 - b))**(1/4))**(2/3)*sqrt(a**2*x**2 - b)), x)","F",0
2412,0,0,0,0.000000," ","integrate(1/(a**2*x**2-b)**(1/2)/(c+(a*x+(a**2*x**2-b)**(1/2))**(1/4))**(1/3),x)","\int \frac{1}{\sqrt[3]{c + \sqrt[4]{a x + \sqrt{a^{2} x^{2} - b}}} \sqrt{a^{2} x^{2} - b}}\, dx"," ",0,"Integral(1/((c + (a*x + sqrt(a**2*x**2 - b))**(1/4))**(1/3)*sqrt(a**2*x**2 - b)), x)","F",0
2413,0,0,0,0.000000," ","integrate(1/(-3*x**2+1)**(1/3)/(x**2-3),x)","\int \frac{1}{\sqrt[3]{1 - 3 x^{2}} \left(x^{2} - 3\right)}\, dx"," ",0,"Integral(1/((1 - 3*x**2)**(1/3)*(x**2 - 3)), x)","F",0
2414,-1,0,0,0.000000," ","integrate((-a+x)/(x**2*(-a+x))**(1/3)/(a**2*d-2*a*d*x+(-1+d)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2415,0,0,0,0.000000," ","integrate((2*x**8-a*x**4+b)/(a*x**4-b)**(1/4)/(3*a*x**4+b),x)","\int \frac{- a x^{4} + b + 2 x^{8}}{\sqrt[4]{a x^{4} - b} \left(3 a x^{4} + b\right)}\, dx"," ",0,"Integral((-a*x**4 + b + 2*x**8)/((a*x**4 - b)**(1/4)*(3*a*x**4 + b)), x)","F",0
2416,0,0,0,0.000000," ","integrate((c*x**2+d)/(a*x+(a**2*x**2+b**2)**(1/2))**(1/2),x)","\int \frac{c x^{2} + d}{\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}}\, dx"," ",0,"Integral((c*x**2 + d)/sqrt(a*x + sqrt(a**2*x**2 + b**2)), x)","F",0
2417,0,0,0,0.000000," ","integrate((a*x**4+b*x**3)**(1/4)*(d*x**8-c)/x**4,x)","\int \frac{\sqrt[4]{x^{3} \left(a x + b\right)} \left(- c + d x^{8}\right)}{x^{4}}\, dx"," ",0,"Integral((x**3*(a*x + b))**(1/4)*(-c + d*x**8)/x**4, x)","F",0
2418,0,0,0,0.000000," ","integrate((a*x**2+b**2)**(5/2)/(b+(a*x**2+b**2)**(1/2))**(1/2),x)","\int \frac{\left(a x^{2} + b^{2}\right)^{\frac{5}{2}}}{\sqrt{b + \sqrt{a x^{2} + b^{2}}}}\, dx"," ",0,"Integral((a*x**2 + b**2)**(5/2)/sqrt(b + sqrt(a*x**2 + b**2)), x)","F",0
2419,0,0,0,0.000000," ","integrate((x+(x**2+1)**(1/2))**(1/2)*(1+(x+(x**2+1)**(1/2))**(1/2))**(1/2),x)","\int \sqrt{x + \sqrt{x^{2} + 1}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\, dx"," ",0,"Integral(sqrt(x + sqrt(x**2 + 1))*sqrt(sqrt(x + sqrt(x**2 + 1)) + 1), x)","F",0
2420,-1,0,0,0.000000," ","integrate((_C3*x**2-_C4)*(3*_C3*x**2+3*_C4+x)/x/((_C3*x**2+_C0*x+_C4)/(_C3*x**2+_C1*x+_C4))**(1/2)/(_C3**2*x**4+2*_C3*_C4*x**2+_C4**2-x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2421,0,0,0,0.000000," ","integrate((x**6+1)/(x**5+x)**(1/3)/(x**6-1),x)","\int \frac{\left(x^{2} + 1\right) \left(x^{4} - x^{2} + 1\right)}{\sqrt[3]{x \left(x^{4} + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)}\, dx"," ",0,"Integral((x**2 + 1)*(x**4 - x**2 + 1)/((x*(x**4 + 1))**(1/3)*(x - 1)*(x + 1)*(x**2 - x + 1)*(x**2 + x + 1)), x)","F",0
2422,0,0,0,0.000000," ","integrate(1/x**2/(x**8-7*x**7+16*x**6-7*x**5-20*x**4+17*x**3+11*x**2-8*x-4)**(1/3),x)","\int \frac{1}{x^{2} \sqrt[3]{\left(x - 2\right)^{2} \left(x^{2} - x - 1\right)^{3}}}\, dx"," ",0,"Integral(1/(x**2*((x - 2)**2*(x**2 - x - 1)**3)**(1/3)), x)","F",0
2423,0,0,0,0.000000," ","integrate((a**8*x**8+b**8)/(a**4*x**4+b**4)**(1/2)/(a**8*x**8-b**8),x)","\int \frac{a^{8} x^{8} + b^{8}}{\left(a x - b\right) \left(a x + b\right) \left(a^{2} x^{2} + b^{2}\right) \left(a^{4} x^{4} + b^{4}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a**8*x**8 + b**8)/((a*x - b)*(a*x + b)*(a**2*x**2 + b**2)*(a**4*x**4 + b**4)**(3/2)), x)","F",0
2424,0,0,0,0.000000," ","integrate((x+(1+x)**(1/2))**(1/2)/(x-(1+x)**(1/2)),x)","\int \frac{\sqrt{x + \sqrt{x + 1}}}{x - \sqrt{x + 1}}\, dx"," ",0,"Integral(sqrt(x + sqrt(x + 1))/(x - sqrt(x + 1)), x)","F",0
2425,0,0,0,0.000000," ","integrate((x+(1+x)**(1/2))**(1/2)/(x-(1+x)**(1/2)),x)","\int \frac{\sqrt{x + \sqrt{x + 1}}}{x - \sqrt{x + 1}}\, dx"," ",0,"Integral(sqrt(x + sqrt(x + 1))/(x - sqrt(x + 1)), x)","F",0
2426,0,0,0,0.000000," ","integrate((c*x**2+d)*(a*x+(a**2*x**2+b**2)**(1/2))**(1/2)/(c*x**2-d),x)","\int \frac{\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} \left(c x^{2} + d\right)}{c x^{2} - d}\, dx"," ",0,"Integral(sqrt(a*x + sqrt(a**2*x**2 + b**2))*(c*x**2 + d)/(c*x**2 - d), x)","F",0
2427,0,0,0,0.000000," ","integrate((c*x**2+d)*(a*x+(a**2*x**2+b**2)**(1/2))**(1/2)/(c*x**2-d),x)","\int \frac{\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} \left(c x^{2} + d\right)}{c x^{2} - d}\, dx"," ",0,"Integral(sqrt(a*x + sqrt(a**2*x**2 + b**2))*(c*x**2 + d)/(c*x**2 - d), x)","F",0
2428,0,0,0,0.000000," ","integrate((-a/b**2+a**2*x**2/b**2)**(1/2)/x/(a*x**2+b*x*(-a/b**2+a**2*x**2/b**2)**(1/2))**(1/2),x)","\int \frac{\sqrt{\frac{a \left(a x^{2} - 1\right)}{b^{2}}}}{x \sqrt{x \left(a x + b \sqrt{\frac{a^{2} x^{2}}{b^{2}} - \frac{a}{b^{2}}}\right)}}\, dx"," ",0,"Integral(sqrt(a*(a*x**2 - 1)/b**2)/(x*sqrt(x*(a*x + b*sqrt(a**2*x**2/b**2 - a/b**2)))), x)","F",0
2429,0,0,0,0.000000," ","integrate((x**2-1)/(x**2+1)/(1+(1+x)**(1/2))**(1/2)/(1+(1+(1+x)**(1/2))**(1/2))**(1/2),x)","\int \frac{\left(x - 1\right) \left(x + 1\right)}{\left(x^{2} + 1\right) \sqrt{\sqrt{x + 1} + 1} \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}}\, dx"," ",0,"Integral((x - 1)*(x + 1)/((x**2 + 1)*sqrt(sqrt(x + 1) + 1)*sqrt(sqrt(sqrt(x + 1) + 1) + 1)), x)","F",0
2430,0,0,0,0.000000," ","integrate((x**2-1)/(x**2+1)/(1+(1+x)**(1/2))**(1/2)/(1+(1+(1+x)**(1/2))**(1/2))**(1/2),x)","\int \frac{\left(x - 1\right) \left(x + 1\right)}{\left(x^{2} + 1\right) \sqrt{\sqrt{x + 1} + 1} \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}}\, dx"," ",0,"Integral((x - 1)*(x + 1)/((x**2 + 1)*sqrt(sqrt(x + 1) + 1)*sqrt(sqrt(sqrt(x + 1) + 1) + 1)), x)","F",0
2431,0,0,0,0.000000," ","integrate((1+(x+(x**2+1)**(1/2))**(1/2))**(1/2),x)","\int \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\, dx"," ",0,"Integral(sqrt(sqrt(x + sqrt(x**2 + 1)) + 1), x)","F",0
2432,0,0,0,0.000000," ","integrate((2+3*x)/(3*x**2+4)**(1/3)/(9*x**2+52*x-12),x)","\int \frac{3 x + 2}{\left(x + 6\right) \left(9 x - 2\right) \sqrt[3]{3 x^{2} + 4}}\, dx"," ",0,"Integral((3*x + 2)/((x + 6)*(9*x - 2)*(3*x**2 + 4)**(1/3)), x)","F",0
2433,0,0,0,0.000000," ","integrate((a*x**2+b*x+c)**(5/2),x)","\int \left(a x^{2} + b x + c\right)^{\frac{5}{2}}\, dx"," ",0,"Integral((a*x**2 + b*x + c)**(5/2), x)","F",0
2434,-1,0,0,0.000000," ","integrate((x**8-x**4+1)/x**2/(x**4-1)**(3/4)/(x**8-x**4-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2435,0,0,0,0.000000," ","integrate((c*x**2-d)*(a*x+(a**2*x**2+b**2)**(1/2))**(1/2)/(c*x**2+d),x)","\int \frac{\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} \left(c x^{2} - d\right)}{c x^{2} + d}\, dx"," ",0,"Integral(sqrt(a*x + sqrt(a**2*x**2 + b**2))*(c*x**2 - d)/(c*x**2 + d), x)","F",0
2436,0,0,0,0.000000," ","integrate((c*x**2-d)*(a*x+(a**2*x**2+b**2)**(1/2))**(1/2)/(c*x**2+d),x)","\int \frac{\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} \left(c x^{2} - d\right)}{c x^{2} + d}\, dx"," ",0,"Integral(sqrt(a*x + sqrt(a**2*x**2 + b**2))*(c*x**2 - d)/(c*x**2 + d), x)","F",0
2437,0,0,0,0.000000," ","integrate((1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(x+(x**2+1)**(1/2))**(1/2),x)","\int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{\sqrt{x + \sqrt{x^{2} + 1}}}\, dx"," ",0,"Integral(sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/sqrt(x + sqrt(x**2 + 1)), x)","F",0
2438,0,0,0,0.000000," ","integrate(1/x/(3*x**2-6*x+4)**(1/3),x)","\int \frac{1}{x \sqrt[3]{3 x^{2} - 6 x + 4}}\, dx"," ",0,"Integral(1/(x*(3*x**2 - 6*x + 4)**(1/3)), x)","F",0
2439,0,0,0,0.000000," ","integrate(x**2*(a*x**4+b*x**3)**(1/4)/(a*x-b),x)","\int \frac{x^{2} \sqrt[4]{x^{3} \left(a x + b\right)}}{a x - b}\, dx"," ",0,"Integral(x**2*(x**3*(a*x + b))**(1/4)/(a*x - b), x)","F",0
2440,0,0,0,0.000000," ","integrate((x**6-1)/(x**5+x)**(1/3)/(x**6+1),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)}{\sqrt[3]{x \left(x^{4} + 1\right)} \left(x^{2} + 1\right) \left(x^{4} - x^{2} + 1\right)}\, dx"," ",0,"Integral((x - 1)*(x + 1)*(x**2 - x + 1)*(x**2 + x + 1)/((x*(x**4 + 1))**(1/3)*(x**2 + 1)*(x**4 - x**2 + 1)), x)","F",0
2441,-1,0,0,0.000000," ","integrate((a*x**8-2*x**4+b)/(a*x**4-b)**(1/4)/(2*a*x**8-2*x**4+b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2442,-1,0,0,0.000000," ","integrate((a*x**8-2*x**4+b)/(a*x**4-b)**(1/4)/(2*a*x**8-2*x**4+b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2443,-1,0,0,0.000000," ","integrate((2*a*x**8+c*x**4-b)/(a*x**4-b)**(1/4)/(a*x**8-c*x**4+b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2444,-1,0,0,0.000000," ","integrate((2*a*x**8+c*x**4-b)/(a*x**4-b)**(1/4)/(a*x**8-c*x**4+b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2445,0,0,0,0.000000," ","integrate((a*x**4-b*x**3)**(1/4)*(c*x**8-d)/x**4,x)","\int \frac{\sqrt[4]{x^{3} \left(a x - b\right)} \left(c x^{8} - d\right)}{x^{4}}\, dx"," ",0,"Integral((x**3*(a*x - b))**(1/4)*(c*x**8 - d)/x**4, x)","F",0
2446,1,51,0,1.584297," ","integrate((b+(a*x**2+b**2)**(1/2))**(1/2)/x**6,x)","\frac{\sqrt{b} \Gamma\left(- \frac{1}{4}\right) \Gamma\left(\frac{1}{4}\right) {{}_{3}F_{2}\left(\begin{matrix} - \frac{5}{2}, - \frac{1}{4}, \frac{1}{4} \\ - \frac{3}{2}, \frac{1}{2} \end{matrix}\middle| {\frac{a x^{2} e^{i \pi}}{b^{2}}} \right)}}{20 \pi x^{5}}"," ",0,"sqrt(b)*gamma(-1/4)*gamma(1/4)*hyper((-5/2, -1/4, 1/4), (-3/2, 1/2), a*x**2*exp_polar(I*pi)/b**2)/(20*pi*x**5)","C",0
2447,1,49,0,1.985685," ","integrate((b+(a*x**2+b**2)**(1/2))**(1/2)/x**6/(a*x**2+b**2)**(1/2),x)","- \frac{\Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right) {{}_{3}F_{2}\left(\begin{matrix} - \frac{5}{2}, \frac{1}{4}, \frac{3}{4} \\ - \frac{3}{2}, \frac{1}{2} \end{matrix}\middle| {\frac{a x^{2} e^{i \pi}}{b^{2}}} \right)}}{5 \pi \sqrt{b} x^{5}}"," ",0,"-gamma(1/4)*gamma(3/4)*hyper((-5/2, 1/4, 3/4), (-3/2, 1/2), a*x**2*exp_polar(I*pi)/b**2)/(5*pi*sqrt(b)*x**5)","C",0
2448,0,0,0,0.000000," ","integrate((d+(c+(a*x+b)**(1/2))**(1/2))**(1/2),x)","\int \sqrt{d + \sqrt{c + \sqrt{a x + b}}}\, dx"," ",0,"Integral(sqrt(d + sqrt(c + sqrt(a*x + b))), x)","F",0
2449,0,0,0,0.000000," ","integrate(1/(a*x**2-b)/(x**3-x)**(1/3),x)","\int \frac{1}{\sqrt[3]{x \left(x - 1\right) \left(x + 1\right)} \left(a x^{2} - b\right)}\, dx"," ",0,"Integral(1/((x*(x - 1)*(x + 1))**(1/3)*(a*x**2 - b)), x)","F",0
2450,0,0,0,0.000000," ","integrate(1/x**3/(x**3-1)/(x**3+x**2)**(1/3),x)","\int \frac{1}{x^{3} \sqrt[3]{x^{2} \left(x + 1\right)} \left(x - 1\right) \left(x^{2} + x + 1\right)}\, dx"," ",0,"Integral(1/(x**3*(x**2*(x + 1))**(1/3)*(x - 1)*(x**2 + x + 1)), x)","F",0
2451,0,0,0,0.000000," ","integrate(1/x**3/(x**3-1)/(x**3+x**2)**(1/3),x)","\int \frac{1}{x^{3} \sqrt[3]{x^{2} \left(x + 1\right)} \left(x - 1\right) \left(x^{2} + x + 1\right)}\, dx"," ",0,"Integral(1/(x**3*(x**2*(x + 1))**(1/3)*(x - 1)*(x**2 + x + 1)), x)","F",0
2452,0,0,0,0.000000," ","integrate(1/x**6/(a*x**3-b)/(a**3*x**3+b**2*x**2)**(1/3),x)","\int \frac{1}{x^{6} \sqrt[3]{x^{2} \left(a^{3} x + b^{2}\right)} \left(a x^{3} - b\right)}\, dx"," ",0,"Integral(1/(x**6*(x**2*(a**3*x + b**2))**(1/3)*(a*x**3 - b)), x)","F",0
2453,0,0,0,0.000000," ","integrate(1/x**6/(a*x**3-b)/(a**3*x**3+b**2*x**2)**(1/3),x)","\int \frac{1}{x^{6} \sqrt[3]{x^{2} \left(a^{3} x + b^{2}\right)} \left(a x^{3} - b\right)}\, dx"," ",0,"Integral(1/(x**6*(x**2*(a**3*x + b**2))**(1/3)*(a*x**3 - b)), x)","F",0
2454,-1,0,0,0.000000," ","integrate((x**2-1)*(x**2+x+1)*(x**4+3*x**2+1)**(1/2)/(x**4+x**3+x**2+x+1)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2455,0,0,0,0.000000," ","integrate((a*x**4+b)/(a*x**4-b)/(a**2*x**8+c*x**4+b**2)**(1/4),x)","\int \frac{a x^{4} + b}{\left(a x^{4} - b\right) \sqrt[4]{a^{2} x^{8} + b^{2} + c x^{4}}}\, dx"," ",0,"Integral((a*x**4 + b)/((a*x**4 - b)*(a**2*x**8 + b**2 + c*x**4)**(1/4)), x)","F",0
2456,-1,0,0,0.000000," ","integrate((-x**9+2*x**4)/(x**5-1)**(1/2)/(x**10-a*x**5+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2457,0,0,0,0.000000," ","integrate((x**2+1)/(x**2-1)/(x+(x**2+1)**(1/2))**(1/2),x)","\int \frac{x^{2} + 1}{\left(x - 1\right) \left(x + 1\right) \sqrt{x + \sqrt{x^{2} + 1}}}\, dx"," ",0,"Integral((x**2 + 1)/((x - 1)*(x + 1)*sqrt(x + sqrt(x**2 + 1))), x)","F",0
2458,0,0,0,0.000000," ","integrate((c*x**2+d)/(c*x**2-d)/(a*x+(a**2*x**2+b**2)**(1/2))**(1/2),x)","\int \frac{c x^{2} + d}{\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} \left(c x^{2} - d\right)}\, dx"," ",0,"Integral((c*x**2 + d)/(sqrt(a*x + sqrt(a**2*x**2 + b**2))*(c*x**2 - d)), x)","F",0
2459,0,0,0,0.000000," ","integrate((c*x**2+d)/(c*x**2-d)/(a*x+(a**2*x**2+b**2)**(1/2))**(1/2),x)","\int \frac{c x^{2} + d}{\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} \left(c x^{2} - d\right)}\, dx"," ",0,"Integral((c*x**2 + d)/(sqrt(a*x + sqrt(a**2*x**2 + b**2))*(c*x**2 - d)), x)","F",0
2460,0,0,0,0.000000," ","integrate(1/x**6/(a*x**3+b)/(a**3*x**3+b**2*x**2)**(1/3),x)","\int \frac{1}{x^{6} \sqrt[3]{x^{2} \left(a^{3} x + b^{2}\right)} \left(a x^{3} + b\right)}\, dx"," ",0,"Integral(1/(x**6*(x**2*(a**3*x + b**2))**(1/3)*(a*x**3 + b)), x)","F",0
2461,0,0,0,0.000000," ","integrate(1/x**6/(a*x**3+b)/(a**3*x**3+b**2*x**2)**(1/3),x)","\int \frac{1}{x^{6} \sqrt[3]{x^{2} \left(a^{3} x + b^{2}\right)} \left(a x^{3} + b\right)}\, dx"," ",0,"Integral(1/(x**6*(x**2*(a**3*x + b**2))**(1/3)*(a*x**3 + b)), x)","F",0
2462,0,0,0,0.000000," ","integrate((p*x**2-q)*(a*p*x**2+a*q+b*x)*(p**2*x**4+q**2)**(1/2)/x**3/(c*p*x**2+c*q+d*x),x)","\int \frac{\left(p x^{2} - q\right) \sqrt{p^{2} x^{4} + q^{2}} \left(a p x^{2} + a q + b x\right)}{x^{3} \left(c p x^{2} + c q + d x\right)}\, dx"," ",0,"Integral((p*x**2 - q)*sqrt(p**2*x**4 + q**2)*(a*p*x**2 + a*q + b*x)/(x**3*(c*p*x**2 + c*q + d*x)), x)","F",0
2463,0,0,0,0.000000," ","integrate(x*(7*x**4+3)/(x**4+1)**(1/3)/(x**7+x**3-4),x)","\int \frac{x \left(7 x^{4} + 3\right)}{\sqrt[3]{x^{4} + 1} \left(x^{7} + x^{3} - 4\right)}\, dx"," ",0,"Integral(x*(7*x**4 + 3)/((x**4 + 1)**(1/3)*(x**7 + x**3 - 4)), x)","F",0
2464,0,0,0,0.000000," ","integrate((c*x**2-d)/(c*x**2+d)/(a*x+(a**2*x**2+b**2)**(1/2))**(1/2),x)","\int \frac{c x^{2} - d}{\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} \left(c x^{2} + d\right)}\, dx"," ",0,"Integral((c*x**2 - d)/(sqrt(a*x + sqrt(a**2*x**2 + b**2))*(c*x**2 + d)), x)","F",0
2465,0,0,0,0.000000," ","integrate((c*x**2-d)/(c*x**2+d)/(a*x+(a**2*x**2+b**2)**(1/2))**(1/2),x)","\int \frac{c x^{2} - d}{\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} \left(c x^{2} + d\right)}\, dx"," ",0,"Integral((c*x**2 - d)/(sqrt(a*x + sqrt(a**2*x**2 + b**2))*(c*x**2 + d)), x)","F",0
2466,0,0,0,0.000000," ","integrate((a**2*x**2-b*x)**(1/2)/(a*x**2+x*(a**2*x**2-b*x)**(1/2))**(1/2),x)","\int \frac{\sqrt{x \left(a^{2} x - b\right)}}{\sqrt{x \left(a x + \sqrt{a^{2} x^{2} - b x}\right)}}\, dx"," ",0,"Integral(sqrt(x*(a**2*x - b))/sqrt(x*(a*x + sqrt(a**2*x**2 - b*x))), x)","F",0
2467,-1,0,0,0.000000," ","integrate((a-2*b+x)/((-a+x)*(-b+x))**(1/3)/(a**2+b*d-(2*a+d)*x+x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2468,-1,0,0,0.000000," ","integrate((-a*(a-2*b)-2*b*x+x**2)/((-a+x)*(-b+x))**(2/3)/(b+a**2*d-(2*a*d+1)*x+d*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2469,-1,0,0,0.000000," ","integrate((-1+(2-k)*x)/((1-x)*x*(-k*x+1))**(1/3)/(1-(b+2*k)*x+(k**2+b)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2470,-1,0,0,0.000000," ","integrate((-3*k-2*(k**2+1)*x+k*(k**2+1)*x**2+4*k**2*x**3+k**3*x**4)/((-x**2+1)*(-k**2*x**2+1))**(2/3)/(-1+d-(2+d)*k*x-(k**2+d)*x**2+d*k*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2471,-1,0,0,0.000000," ","integrate((2*x**4-1)/(x**4+1)**(1/4)/(x**8+x**4-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2472,-1,0,0,0.000000," ","integrate((-2*x+(1+k)*x**2)*(a-a*(1+k)*x+(a*k+1)*x**2)/(-1+x)/((1-x)*x*(-k*x+1))**(2/3)/(k*x-1)/(b-b*(1+k)*x+(b*k-1)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2473,-1,0,0,0.000000," ","integrate((-3*k+2*(k**2+1)*x+k*(k**2+1)*x**2-4*k**2*x**3+k**3*x**4)/((-x**2+1)*(-k**2*x**2+1))**(2/3)/(1-d-(2+d)*k*x+(k**2+d)*x**2+d*k*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2474,-1,0,0,0.000000," ","integrate((x**3-x)**(1/3)*(a*x**6-b)/(c*x**6-d),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2475,-1,0,0,0.000000," ","integrate((x**3-x)**(1/3)*(a*x**6-b)/(c*x**6-d),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2476,0,0,0,0.000000," ","integrate(1/(1-x*(a*x**2+b*x+c)**(1/2)),x)","- \int \frac{1}{x \sqrt{a x^{2} + b x + c} - 1}\, dx"," ",0,"-Integral(1/(x*sqrt(a*x**2 + b*x + c) - 1), x)","F",0
2477,0,0,0,0.000000," ","integrate((a*x**2-b)/(2*a*x**2-b)/(a**3*x**3+b**2*x**2)**(1/3),x)","\int \frac{a x^{2} - b}{\sqrt[3]{x^{2} \left(a^{3} x + b^{2}\right)} \left(2 a x^{2} - b\right)}\, dx"," ",0,"Integral((a*x**2 - b)/((x**2*(a**3*x + b**2))**(1/3)*(2*a*x**2 - b)), x)","F",0
2478,0,0,0,0.000000," ","integrate((a*x**2-b)/(2*a*x**2-b)/(a**3*x**3+b**2*x**2)**(1/3),x)","\int \frac{a x^{2} - b}{\sqrt[3]{x^{2} \left(a^{3} x + b^{2}\right)} \left(2 a x^{2} - b\right)}\, dx"," ",0,"Integral((a*x**2 - b)/((x**2*(a**3*x + b**2))**(1/3)*(2*a*x**2 - b)), x)","F",0
2479,0,0,0,0.000000," ","integrate((a*x**2+b)/(2*a*x**2+b)/(a**3*x**3+b**2*x**2)**(1/3),x)","\int \frac{a x^{2} + b}{\sqrt[3]{x^{2} \left(a^{3} x + b^{2}\right)} \left(2 a x^{2} + b\right)}\, dx"," ",0,"Integral((a*x**2 + b)/((x**2*(a**3*x + b**2))**(1/3)*(2*a*x**2 + b)), x)","F",0
2480,0,0,0,0.000000," ","integrate((a*x**2+b)/(2*a*x**2+b)/(a**3*x**3+b**2*x**2)**(1/3),x)","\int \frac{a x^{2} + b}{\sqrt[3]{x^{2} \left(a^{3} x + b^{2}\right)} \left(2 a x^{2} + b\right)}\, dx"," ",0,"Integral((a*x**2 + b)/((x**2*(a**3*x + b**2))**(1/3)*(2*a*x**2 + b)), x)","F",0
2481,-1,0,0,0.000000," ","integrate(x*(4*a*b-3*(a+b)*x+2*x**2)/(x**2*(-a+x)*(-b+x))**(1/3)/(-a*b+(a+b)*x-x**2+d*x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2482,0,0,0,0.000000," ","integrate((a*x**4+b)**(1/4)*(3*a*x**4+2*b)/x**6/(a*x**8+b),x)","\int \frac{\sqrt[4]{a x^{4} + b} \left(3 a x^{4} + 2 b\right)}{x^{6} \left(a x^{8} + b\right)}\, dx"," ",0,"Integral((a*x**4 + b)**(1/4)*(3*a*x**4 + 2*b)/(x**6*(a*x**8 + b)), x)","F",0
2483,0,0,0,0.000000," ","integrate((a*x**4+b)**(1/4)*(3*a*x**4+2*b)/x**6/(a*x**8+b),x)","\int \frac{\sqrt[4]{a x^{4} + b} \left(3 a x^{4} + 2 b\right)}{x^{6} \left(a x^{8} + b\right)}\, dx"," ",0,"Integral((a*x**4 + b)**(1/4)*(3*a*x**4 + 2*b)/(x**6*(a*x**8 + b)), x)","F",0
2484,0,0,0,0.000000," ","integrate((x+(1+x)**(1/2))**(1/2)/(x**2+1),x)","\int \frac{\sqrt{x + \sqrt{x + 1}}}{x^{2} + 1}\, dx"," ",0,"Integral(sqrt(x + sqrt(x + 1))/(x**2 + 1), x)","F",0
2485,0,0,0,0.000000," ","integrate((x+(1+x)**(1/2))**(1/2)/(x**2+1),x)","\int \frac{\sqrt{x + \sqrt{x + 1}}}{x^{2} + 1}\, dx"," ",0,"Integral(sqrt(x + sqrt(x + 1))/(x**2 + 1), x)","F",0
2486,0,0,0,0.000000," ","integrate((x+(1+x)**(1/2))**(1/2)/(x**2-(1+x)**(1/2)),x)","\int \frac{\sqrt{x + \sqrt{x + 1}}}{x^{2} - \sqrt{x + 1}}\, dx"," ",0,"Integral(sqrt(x + sqrt(x + 1))/(x**2 - sqrt(x + 1)), x)","F",0
2487,0,0,0,0.000000," ","integrate((x+(1+x)**(1/2))**(1/2)/(x**2-(1+x)**(1/2)),x)","\int \frac{\sqrt{x + \sqrt{x + 1}}}{x^{2} - \sqrt{x + 1}}\, dx"," ",0,"Integral(sqrt(x + sqrt(x + 1))/(x**2 - sqrt(x + 1)), x)","F",0
2488,0,0,0,0.000000," ","integrate(x**2/(x**2*(-a+x))**(2/3)/(-a**2+2*a*x+(-1+d)*x**2),x)","\int \frac{x^{2}}{\left(x^{2} \left(- a + x\right)\right)^{\frac{2}{3}} \left(- a^{2} + 2 a x + d x^{2} - x^{2}\right)}\, dx"," ",0,"Integral(x**2/((x**2*(-a + x))**(2/3)*(-a**2 + 2*a*x + d*x**2 - x**2)), x)","F",0
2489,-1,0,0,0.000000," ","integrate((-2+(1+k)*x)*(1-(1+k)*x+(a+k)*x**2)/x/((1-x)*x*(-k*x+1))**(2/3)/(1-(1+k)*x+(-b+k)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2490,-1,0,0,0.000000," ","integrate((-2*a**2*b*x+a*(3*a+2*b)*x**2-4*a*x**3+x**4)/(x**2*(-a+x)*(-b+x))**(2/3)/(-a**2+2*a*x-(b*d+1)*x**2+d*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2491,0,0,0,0.000000," ","integrate(1/(81*x**4-135*x**3+54*x**2+12*x-8)**(1/3),x)","\int \frac{1}{\sqrt[3]{81 x^{4} - 135 x^{3} + 54 x^{2} + 12 x - 8}}\, dx"," ",0,"Integral((81*x**4 - 135*x**3 + 54*x**2 + 12*x - 8)**(-1/3), x)","F",0
2492,0,0,0,0.000000," ","integrate((x**2+1)/(x**2-x-1)/(x**6-1)**(1/3),x)","\int \frac{x^{2} + 1}{\sqrt[3]{\left(x - 1\right) \left(x + 1\right) \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)} \left(x^{2} - x - 1\right)}\, dx"," ",0,"Integral((x**2 + 1)/(((x - 1)*(x + 1)*(x**2 - x + 1)*(x**2 + x + 1))**(1/3)*(x**2 - x - 1)), x)","F",0
2493,0,0,0,0.000000," ","integrate((x**2+1)/(x**2-x-1)/(x**6-1)**(1/3),x)","\int \frac{x^{2} + 1}{\sqrt[3]{\left(x - 1\right) \left(x + 1\right) \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)} \left(x^{2} - x - 1\right)}\, dx"," ",0,"Integral((x**2 + 1)/(((x - 1)*(x + 1)*(x**2 - x + 1)*(x**2 + x + 1))**(1/3)*(x**2 - x - 1)), x)","F",0
2494,0,0,0,0.000000," ","integrate((4*x**6+3*x**5-2*x**4+2)*(x**7+x**6-x**5+2*x**3-x)**(1/3)/(x**6+x**5-x**4+x**2-1)**2,x)","\int \frac{\sqrt[3]{x \left(x + 1\right) \left(x^{5} - x^{3} + x^{2} + x - 1\right)} \left(4 x^{6} + 3 x^{5} - 2 x^{4} + 2\right)}{\left(x^{6} + x^{5} - x^{4} + x^{2} - 1\right)^{2}}\, dx"," ",0,"Integral((x*(x + 1)*(x**5 - x**3 + x**2 + x - 1))**(1/3)*(4*x**6 + 3*x**5 - 2*x**4 + 2)/(x**6 + x**5 - x**4 + x**2 - 1)**2, x)","F",0
2495,-1,0,0,0.000000," ","integrate((-1+(-1+2*k)*x)/((1-x)*x*(-k*x+1))**(1/3)/(b-(1+2*b)*x+(b+k)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2496,-1,0,0,0.000000," ","integrate((a**2*x**3+b**2)**(1/2)*(a**2*x**6+c*x**3+2*b**2)/x**7/(a**2*x**6-b**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2497,0,0,0,0.000000," ","integrate(x**7*(-4*a+3*x)/(x**2*(-a+x))**(2/3)/(d*x**8-a**2+2*a*x-x**2),x)","\int \frac{x^{7} \left(- 4 a + 3 x\right)}{\left(x^{2} \left(- a + x\right)\right)^{\frac{2}{3}} \left(- a^{2} + 2 a x + d x^{8} - x^{2}\right)}\, dx"," ",0,"Integral(x**7*(-4*a + 3*x)/((x**2*(-a + x))**(2/3)*(-a**2 + 2*a*x + d*x**8 - x**2)), x)","F",0
2498,-1,0,0,0.000000," ","integrate((-1+2*x+(k**2-2*k)*x**2)/((1-x)*x*(-k*x+1))**(2/3)/(b-(2*b*k+1)*x+(b*k**2+1)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2499,0,0,0,0.000000," ","integrate(1/(x**3-x**2)**(1/3)/(x**4-1),x)","\int \frac{1}{\sqrt[3]{x^{2} \left(x - 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}\, dx"," ",0,"Integral(1/((x**2*(x - 1))**(1/3)*(x - 1)*(x + 1)*(x**2 + 1)), x)","F",0
2500,0,0,0,0.000000," ","integrate(1/(x**3-x**2)**(1/3)/(x**4-1),x)","\int \frac{1}{\sqrt[3]{x^{2} \left(x - 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}\, dx"," ",0,"Integral(1/((x**2*(x - 1))**(1/3)*(x - 1)*(x + 1)*(x**2 + 1)), x)","F",0
2501,0,0,0,0.000000," ","integrate((x**4-x**2)**(1/3)/x/(x**2+1),x)","\int \frac{\sqrt[3]{x^{2} \left(x - 1\right) \left(x + 1\right)}}{x \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x**2*(x - 1)*(x + 1))**(1/3)/(x*(x**2 + 1)), x)","F",0
2502,0,0,0,0.000000," ","integrate((a*x**6+b)/x**3/(a*x**3-b)/(a*x**4+b*x)**(1/4),x)","\int \frac{a x^{6} + b}{x^{3} \sqrt[4]{x \left(a x^{3} + b\right)} \left(a x^{3} - b\right)}\, dx"," ",0,"Integral((a*x**6 + b)/(x**3*(x*(a*x**3 + b))**(1/4)*(a*x**3 - b)), x)","F",0
2503,0,0,0,0.000000," ","integrate((a*x+(a*x-b)**(1/2))**(1/2)/x**2/(a*x-b)**(1/2),x)","\int \frac{\sqrt{a x + \sqrt{a x - b}}}{x^{2} \sqrt{a x - b}}\, dx"," ",0,"Integral(sqrt(a*x + sqrt(a*x - b))/(x**2*sqrt(a*x - b)), x)","F",0
2504,0,0,0,0.000000," ","integrate((3+x)/(x**2-1)**(1/3)/(2*x**2-x+5),x)","\int \frac{x + 3}{\sqrt[3]{\left(x - 1\right) \left(x + 1\right)} \left(2 x^{2} - x + 5\right)}\, dx"," ",0,"Integral((x + 3)/(((x - 1)*(x + 1))**(1/3)*(2*x**2 - x + 5)), x)","F",0
2505,-1,0,0,0.000000," ","integrate((-2+(1+k)*x)*(1-(1+k)*x+(a+k)*x**2)/x**2/((1-x)*x*(-k*x+1))**(1/3)/(1-(1+k)*x+(-b+k)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2506,0,0,0,0.000000," ","integrate((x**3-2)*(x**4+x**3+x)**(1/3)/(x**3+1)/(x**3-x**2+1),x)","\int \frac{\sqrt[3]{x \left(x^{3} + x^{2} + 1\right)} \left(x^{3} - 2\right)}{\left(x + 1\right) \left(x^{2} - x + 1\right) \left(x^{3} - x^{2} + 1\right)}\, dx"," ",0,"Integral((x*(x**3 + x**2 + 1))**(1/3)*(x**3 - 2)/((x + 1)*(x**2 - x + 1)*(x**3 - x**2 + 1)), x)","F",0
2507,0,0,0,0.000000," ","integrate((a*x**4+b*x**3)**(1/4)/(a*x+2*x**2-2*b),x)","\int \frac{\sqrt[4]{x^{3} \left(a x + b\right)}}{a x - 2 b + 2 x^{2}}\, dx"," ",0,"Integral((x**3*(a*x + b))**(1/4)/(a*x - 2*b + 2*x**2), x)","F",0
2508,0,0,0,0.000000," ","integrate((a*x**4+b*x**3)**(1/4)/(a*x+2*x**2-2*b),x)","\int \frac{\sqrt[4]{x^{3} \left(a x + b\right)}}{a x - 2 b + 2 x^{2}}\, dx"," ",0,"Integral((x**3*(a*x + b))**(1/4)/(a*x - 2*b + 2*x**2), x)","F",0
2509,0,0,0,0.000000," ","integrate((x**3+1)**(2/3)*(2*x**6-1)/x**6/(2*x**3-1),x)","\int \frac{\left(\left(x + 1\right) \left(x^{2} - x + 1\right)\right)^{\frac{2}{3}} \left(2 x^{6} - 1\right)}{x^{6} \left(2 x^{3} - 1\right)}\, dx"," ",0,"Integral(((x + 1)*(x**2 - x + 1))**(2/3)*(2*x**6 - 1)/(x**6*(2*x**3 - 1)), x)","F",0
2510,0,0,0,0.000000," ","integrate((a*x**4-b)/(a*x**4+b)/(a**2*x**8+c*x**4+b**2)**(1/4),x)","\int \frac{a x^{4} - b}{\left(a x^{4} + b\right) \sqrt[4]{a^{2} x^{8} + b^{2} + c x^{4}}}\, dx"," ",0,"Integral((a*x**4 - b)/((a*x**4 + b)*(a**2*x**8 + b**2 + c*x**4)**(1/4)), x)","F",0
2511,0,0,0,0.000000," ","integrate((x+(1+x)**(1/2))**(1/2)/(1+x)**(1/2)/(x**2+1),x)","\int \frac{\sqrt{x + \sqrt{x + 1}}}{\sqrt{x + 1} \left(x^{2} + 1\right)}\, dx"," ",0,"Integral(sqrt(x + sqrt(x + 1))/(sqrt(x + 1)*(x**2 + 1)), x)","F",0
2512,0,0,0,0.000000," ","integrate((x+(1+x)**(1/2))**(1/2)/(1+x)**(1/2)/(x**2+1),x)","\int \frac{\sqrt{x + \sqrt{x + 1}}}{\sqrt{x + 1} \left(x^{2} + 1\right)}\, dx"," ",0,"Integral(sqrt(x + sqrt(x + 1))/(sqrt(x + 1)*(x**2 + 1)), x)","F",0
2513,0,0,0,0.000000," ","integrate((2+x)**2*(9*x**3-30*x**2+66*x-19)**(1/3)/(-3+2*x)**2/(x**3-6*x**2+6*x-5),x)","\int \frac{\sqrt[3]{\left(3 x - 1\right) \left(3 x^{2} - 9 x + 19\right)} \left(x + 2\right)^{2}}{\left(x - 5\right) \left(2 x - 3\right)^{2} \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(((3*x - 1)*(3*x**2 - 9*x + 19))**(1/3)*(x + 2)**2/((x - 5)*(2*x - 3)**2*(x**2 - x + 1)), x)","F",0
2514,0,0,0,0.000000," ","integrate((x**3+1)/(x**3-1)/(x**4+x**2)**(1/3),x)","\int \frac{\left(x + 1\right) \left(x^{2} - x + 1\right)}{\sqrt[3]{x^{2} \left(x^{2} + 1\right)} \left(x - 1\right) \left(x^{2} + x + 1\right)}\, dx"," ",0,"Integral((x + 1)*(x**2 - x + 1)/((x**2*(x**2 + 1))**(1/3)*(x - 1)*(x**2 + x + 1)), x)","F",0
2515,-1,0,0,0.000000," ","integrate(x*(4*a*b-3*(a+b)*x+2*x**2)/(x**2*(-a+x)*(-b+x))**(1/3)/(-a*b*d+(a+b)*d*x-d*x**2+x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2516,0,0,0,0.000000," ","integrate((a*x**4+b)**(1/2)/(a*x**4-b),x)","\int \frac{\sqrt{a x^{4} + b}}{a x^{4} - b}\, dx"," ",0,"Integral(sqrt(a*x**4 + b)/(a*x**4 - b), x)","F",0
2517,0,0,0,0.000000," ","integrate((x**2+1)/(x**2+x-1)/(x**6-1)**(1/3),x)","\int \frac{x^{2} + 1}{\sqrt[3]{\left(x - 1\right) \left(x + 1\right) \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)} \left(x^{2} + x - 1\right)}\, dx"," ",0,"Integral((x**2 + 1)/(((x - 1)*(x + 1)*(x**2 - x + 1)*(x**2 + x + 1))**(1/3)*(x**2 + x - 1)), x)","F",0
2518,0,0,0,0.000000," ","integrate((x**2+1)/(x**2+x-1)/(x**6-1)**(1/3),x)","\int \frac{x^{2} + 1}{\sqrt[3]{\left(x - 1\right) \left(x + 1\right) \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)} \left(x^{2} + x - 1\right)}\, dx"," ",0,"Integral((x**2 + 1)/(((x - 1)*(x + 1)*(x**2 - x + 1)*(x**2 + x + 1))**(1/3)*(x**2 + x - 1)), x)","F",0
2519,0,0,0,0.000000," ","integrate(x**3*(x**3-x**2)**(1/3)/(x**6+1),x)","\int \frac{x^{3} \sqrt[3]{x^{2} \left(x - 1\right)}}{\left(x^{2} + 1\right) \left(x^{4} - x^{2} + 1\right)}\, dx"," ",0,"Integral(x**3*(x**2*(x - 1))**(1/3)/((x**2 + 1)*(x**4 - x**2 + 1)), x)","F",0
2520,-1,0,0,0.000000," ","integrate((2*a*x**8-2*c*x**4+b)/(a*x**4-b)**(1/4)/(2*a*x**8-c*x**4-2*b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2521,-1,0,0,0.000000," ","integrate((2*a*x**8-2*c*x**4+b)/(a*x**4-b)**(1/4)/(2*a*x**8-c*x**4-2*b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2522,0,0,0,0.000000," ","integrate(1/x**3/(x**3+1)/(x**3-x**2)**(1/3),x)","\int \frac{1}{x^{3} \sqrt[3]{x^{2} \left(x - 1\right)} \left(x + 1\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(1/(x**3*(x**2*(x - 1))**(1/3)*(x + 1)*(x**2 - x + 1)), x)","F",0
2523,0,0,0,0.000000," ","integrate((x**2-1)*(x**4+x**3)**(1/4)/(x**4+x**2+1),x)","\int \frac{\sqrt[4]{x^{3} \left(x + 1\right)} \left(x - 1\right) \left(x + 1\right)}{\left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)}\, dx"," ",0,"Integral((x**3*(x + 1))**(1/4)*(x - 1)*(x + 1)/((x**2 - x + 1)*(x**2 + x + 1)), x)","F",0
2524,0,0,0,0.000000," ","integrate((x**2-1)*(x**4+x**3)**(1/4)/(x**4+x**2+1),x)","\int \frac{\sqrt[4]{x^{3} \left(x + 1\right)} \left(x - 1\right) \left(x + 1\right)}{\left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)}\, dx"," ",0,"Integral((x**3*(x + 1))**(1/4)*(x - 1)*(x + 1)/((x**2 - x + 1)*(x**2 + x + 1)), x)","F",0
2525,0,0,0,0.000000," ","integrate((a*x**2-b)*(a*x**4-b*x**2)**(1/4)/(x**4-a*x**2+b),x)","\int \frac{\sqrt[4]{x^{2} \left(a x^{2} - b\right)} \left(a x^{2} - b\right)}{- a x^{2} + b + x^{4}}\, dx"," ",0,"Integral((x**2*(a*x**2 - b))**(1/4)*(a*x**2 - b)/(-a*x**2 + b + x**4), x)","F",0
2526,0,0,0,0.000000," ","integrate((a*x**2-b)*(a*x**4-b*x**2)**(1/4)/(x**4-a*x**2+b),x)","\int \frac{\sqrt[4]{x^{2} \left(a x^{2} - b\right)} \left(a x^{2} - b\right)}{- a x^{2} + b + x^{4}}\, dx"," ",0,"Integral((x**2*(a*x**2 - b))**(1/4)*(a*x**2 - b)/(-a*x**2 + b + x**4), x)","F",0
2527,0,0,0,0.000000," ","integrate((a*x**2-b**2)**2/(a*x**2+b**2)**2/(b+(a*x**2+b**2)**(1/2))**(1/2),x)","\int \frac{\left(a x^{2} - b^{2}\right)^{2}}{\sqrt{b + \sqrt{a x^{2} + b^{2}}} \left(a x^{2} + b^{2}\right)^{2}}\, dx"," ",0,"Integral((a*x**2 - b**2)**2/(sqrt(b + sqrt(a*x**2 + b**2))*(a*x**2 + b**2)**2), x)","F",0
2528,-1,0,0,0.000000," ","integrate((-2+(1+k)*x)*(a-a*(1+k)*x+(a*k+1)*x**2)/(-1+x)/((1-x)*x*(-k*x+1))**(1/3)/(k*x-1)/(b-b*(1+k)*x+(b*k-1)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2529,1,151,0,3.992781," ","integrate((x**3+b)**3/(x**3+a)**(1/3),x)","\frac{b^{3} x \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {\frac{x^{3} e^{i \pi}}{a}} \right)}}{3 \sqrt[3]{a} \Gamma\left(\frac{4}{3}\right)} + \frac{b^{2} x^{4} \Gamma\left(\frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{4}{3} \\ \frac{7}{3} \end{matrix}\middle| {\frac{x^{3} e^{i \pi}}{a}} \right)}}{\sqrt[3]{a} \Gamma\left(\frac{7}{3}\right)} + \frac{b x^{7} \Gamma\left(\frac{7}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{7}{3} \\ \frac{10}{3} \end{matrix}\middle| {\frac{x^{3} e^{i \pi}}{a}} \right)}}{\sqrt[3]{a} \Gamma\left(\frac{10}{3}\right)} + \frac{x^{10} \Gamma\left(\frac{10}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{10}{3} \\ \frac{13}{3} \end{matrix}\middle| {\frac{x^{3} e^{i \pi}}{a}} \right)}}{3 \sqrt[3]{a} \Gamma\left(\frac{13}{3}\right)}"," ",0,"b**3*x*gamma(1/3)*hyper((1/3, 1/3), (4/3,), x**3*exp_polar(I*pi)/a)/(3*a**(1/3)*gamma(4/3)) + b**2*x**4*gamma(4/3)*hyper((1/3, 4/3), (7/3,), x**3*exp_polar(I*pi)/a)/(a**(1/3)*gamma(7/3)) + b*x**7*gamma(7/3)*hyper((1/3, 7/3), (10/3,), x**3*exp_polar(I*pi)/a)/(a**(1/3)*gamma(10/3)) + x**10*gamma(10/3)*hyper((1/3, 10/3), (13/3,), x**3*exp_polar(I*pi)/a)/(3*a**(1/3)*gamma(13/3))","C",0
2530,0,0,0,0.000000," ","integrate((x**3-x**2+1)/(x**3-x**2-1)/(x**3+x**2)**(1/3),x)","\int \frac{x^{3} - x^{2} + 1}{\sqrt[3]{x^{2} \left(x + 1\right)} \left(x^{3} - x^{2} - 1\right)}\, dx"," ",0,"Integral((x**3 - x**2 + 1)/((x**2*(x + 1))**(1/3)*(x**3 - x**2 - 1)), x)","F",0
2531,0,0,0,0.000000," ","integrate((x**3-x**2+1)/(x**3-x**2-1)/(x**3+x**2)**(1/3),x)","\int \frac{x^{3} - x^{2} + 1}{\sqrt[3]{x^{2} \left(x + 1\right)} \left(x^{3} - x^{2} - 1\right)}\, dx"," ",0,"Integral((x**3 - x**2 + 1)/((x**2*(x + 1))**(1/3)*(x**3 - x**2 - 1)), x)","F",0
2532,-1,0,0,0.000000," ","integrate((-3+(-2*k**2+1)*x+3*k**2*x**2+k**2*x**3)/((-x**2+1)*(-k**2*x**2+1))**(1/3)/(-1+d-(2+d)*x-(d*k**2+1)*x**2+d*k**2*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2533,0,0,0,0.000000," ","integrate(x**2/(a*x**4-b)/(a*x**4+b)**(1/2),x)","\int \frac{x^{2}}{\left(a x^{4} - b\right) \sqrt{a x^{4} + b}}\, dx"," ",0,"Integral(x**2/((a*x**4 - b)*sqrt(a*x**4 + b)), x)","F",0
2534,-1,0,0,0.000000," ","integrate((-1+x)*(k*x-1)*(-2+(1+k)*x)/((1-x)*x*(-k*x+1))**(1/3)/(b-2*(b*k+b)*x+(b*k**2+4*b*k+b)*x**2-2*b*k*(1+k)*x**3+(b*k**2-1)*x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2535,0,0,0,0.000000," ","integrate((f*x**2-g)*(c+(a*x+b)**(1/2))**(1/2)/(d*x**2+e),x)","\int \frac{\sqrt{c + \sqrt{a x + b}} \left(f x^{2} - g\right)}{d x^{2} + e}\, dx"," ",0,"Integral(sqrt(c + sqrt(a*x + b))*(f*x**2 - g)/(d*x**2 + e), x)","F",0
2536,0,0,0,0.000000," ","integrate((a**2*x**2+b**2)**(1/2)/(d+c*x**2+(a*x+(a**2*x**2+b**2)**(1/2))**(1/2)),x)","\int \frac{\sqrt{a^{2} x^{2} + b^{2}}}{c x^{2} + d + \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}}\, dx"," ",0,"Integral(sqrt(a**2*x**2 + b**2)/(c*x**2 + d + sqrt(a*x + sqrt(a**2*x**2 + b**2))), x)","F",0
2537,0,0,0,0.000000," ","integrate((a**2*x**2+b**2)**(1/2)/(d+c*x**2+(a*x+(a**2*x**2+b**2)**(1/2))**(1/2)),x)","\int \frac{\sqrt{a^{2} x^{2} + b^{2}}}{c x^{2} + d + \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}}\, dx"," ",0,"Integral(sqrt(a**2*x**2 + b**2)/(c*x**2 + d + sqrt(a*x + sqrt(a**2*x**2 + b**2))), x)","F",0
2538,0,0,0,0.000000," ","integrate((1-(1-(1-1/x)**(1/2))**(1/2))**(1/2)/x**2,x)","\int \frac{\sqrt{1 - \sqrt{1 - \sqrt{1 - \frac{1}{x}}}}}{x^{2}}\, dx"," ",0,"Integral(sqrt(1 - sqrt(1 - sqrt(1 - 1/x)))/x**2, x)","F",0
2539,0,0,0,0.000000," ","integrate((x**4+x**2)**(1/3)/x/(x**2-1),x)","\int \frac{\sqrt[3]{x^{2} \left(x^{2} + 1\right)}}{x \left(x - 1\right) \left(x + 1\right)}\, dx"," ",0,"Integral((x**2*(x**2 + 1))**(1/3)/(x*(x - 1)*(x + 1)), x)","F",0
2540,0,0,0,0.000000," ","integrate(1/(d*x+c)/(a**2*x**2+b)**(1/2)/(a*x-(a**2*x**2+b)**(1/2))**(1/2),x)","\int \frac{1}{\left(c + d x\right) \sqrt{a x - \sqrt{a^{2} x^{2} + b}} \sqrt{a^{2} x^{2} + b}}\, dx"," ",0,"Integral(1/((c + d*x)*sqrt(a*x - sqrt(a**2*x**2 + b))*sqrt(a**2*x**2 + b)), x)","F",0
2541,-1,0,0,0.000000," ","integrate((1+x)**(1/2)*(1+(1+x)**(1/2))**(1/2)/x**2/(1+(1+(1+x)**(1/2))**(1/2))**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2542,-1,0,0,0.000000," ","integrate((-1+(2-k)*x)/((1-x)*x*(-k*x+1))**(1/3)/(b-(2*b*k+1)*x+(b*k**2+1)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2543,0,0,0,0.000000," ","integrate(1/x**6/(x**3-1)/(x**3+x**2)**(1/3),x)","\int \frac{1}{x^{6} \sqrt[3]{x^{2} \left(x + 1\right)} \left(x - 1\right) \left(x^{2} + x + 1\right)}\, dx"," ",0,"Integral(1/(x**6*(x**2*(x + 1))**(1/3)*(x - 1)*(x**2 + x + 1)), x)","F",0
2544,0,0,0,0.000000," ","integrate(1/x**6/(x**3-1)/(x**3+x**2)**(1/3),x)","\int \frac{1}{x^{6} \sqrt[3]{x^{2} \left(x + 1\right)} \left(x - 1\right) \left(x^{2} + x + 1\right)}\, dx"," ",0,"Integral(1/(x**6*(x**2*(x + 1))**(1/3)*(x - 1)*(x**2 + x + 1)), x)","F",0
2545,-1,0,0,0.000000," ","integrate((3+(-2*k**2+1)*x-3*k**2*x**2+k**2*x**3)/((-x**2+1)*(-k**2*x**2+1))**(1/3)/(1-d-(2+d)*x+(d*k**2+1)*x**2+d*k**2*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2546,0,0,0,0.000000," ","integrate((x**3+1)**(2/3)*(x**6-4*x**3+8)/x**6/(x**3+2),x)","\int \frac{\left(\left(x + 1\right) \left(x^{2} - x + 1\right)\right)^{\frac{2}{3}} \left(x^{2} + 2 x + 2\right) \left(x^{4} - 2 x^{3} + 2 x^{2} - 4 x + 4\right)}{x^{6} \left(x^{3} + 2\right)}\, dx"," ",0,"Integral(((x + 1)*(x**2 - x + 1))**(2/3)*(x**2 + 2*x + 2)*(x**4 - 2*x**3 + 2*x**2 - 4*x + 4)/(x**6*(x**3 + 2)), x)","F",0
2547,0,0,0,0.000000," ","integrate((x**3-1)**(2/3)*(x**6+2*x**3+8)/x**6/(x**3-2),x)","\int \frac{\left(\left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{2}{3}} \left(x^{6} + 2 x^{3} + 8\right)}{x^{6} \left(x^{3} - 2\right)}\, dx"," ",0,"Integral(((x - 1)*(x**2 + x + 1))**(2/3)*(x**6 + 2*x**3 + 8)/(x**6*(x**3 - 2)), x)","F",0
2548,0,0,0,0.000000," ","integrate((p*x**3-2*q)*(p**2*x**6-2*p*q*x**4+2*p*q*x**3+q**2)**(1/2)*(c*x**4+b*x**2*(p*x**3+q)+a*(p*x**3+q)**2)/x**9,x)","\int \frac{\left(p x^{3} - 2 q\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 p x^{5} + b q x^{2} + c x^{4}\right)}{x^{9}}\, dx"," ",0,"Integral((p*x**3 - 2*q)*sqrt(p**2*x**6 - 2*p*q*x**4 + 2*p*q*x**3 + q**2)*(a*p**2*x**6 + 2*a*p*q*x**3 + a*q**2 + b*p*x**5 + b*q*x**2 + c*x**4)/x**9, x)","F",0
2549,0,0,0,0.000000," ","integrate((a*x**2-b)/(a**3*x**3+b**2*x**2)**(1/3),x)","\int \frac{a x^{2} - b}{\sqrt[3]{x^{2} \left(a^{3} x + b^{2}\right)}}\, dx"," ",0,"Integral((a*x**2 - b)/(x**2*(a**3*x + b**2))**(1/3), x)","F",0
2550,0,0,0,0.000000," ","integrate((a*x**2+b)/(a**3*x**3+b**2*x**2)**(1/3),x)","\int \frac{a x^{2} + b}{\sqrt[3]{x^{2} \left(a^{3} x + b^{2}\right)}}\, dx"," ",0,"Integral((a*x**2 + b)/(x**2*(a**3*x + b**2))**(1/3), x)","F",0
2551,-1,0,0,0.000000," ","integrate((-a**2*b+4*a*b*x-(2*a+3*b)*x**2+2*x**3)/(x*(-a+x)**2*(-b+x)**3)**(1/4)/(b+(a**2*d-1)*x-2*a*d*x**2+d*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2552,0,0,0,0.000000," ","integrate((a*x**2+b)*(a*x**4+b*x**3)**(1/4)/x**2/(a*x**2-b),x)","\int \frac{\sqrt[4]{x^{3} \left(a x + b\right)} \left(a x^{2} + b\right)}{x^{2} \left(a x^{2} - b\right)}\, dx"," ",0,"Integral((x**3*(a*x + b))**(1/4)*(a*x**2 + b)/(x**2*(a*x**2 - b)), x)","F",0
2553,-1,0,0,0.000000," ","integrate((a*b**3-(6*a-b)*b**2*x+9*a*b*x**2-(4*a+3*b)*x**3+2*x**4)/(x*(-a+x)**2*(-b+x)**3)**(1/4)/(-a**2+(-b**3*d+2*a)*x+(3*b**2*d-1)*x**2-3*b*d*x**3+d*x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2554,-1,0,0,0.000000," ","integrate((a*x**4-b)**(1/4)*(a*x**8+c*x**4+b)/x**6/(2*a*x**8+b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2555,-1,0,0,0.000000," ","integrate((a*x**4-b)**(1/4)*(a*x**8+c*x**4+b)/x**6/(2*a*x**8+b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2556,0,0,0,0.000000," ","integrate(1/(c*x+d)/(a*x+(a**2*x**2+b**2)**(1/2))**(1/2),x)","\int \frac{1}{\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} \left(c x + d\right)}\, dx"," ",0,"Integral(1/(sqrt(a*x + sqrt(a**2*x**2 + b**2))*(c*x + d)), x)","F",0
2557,0,0,0,0.000000," ","integrate((2*p*x**3-q)*(p**2*x**6+2*p*q*x**3-2*p*q*x**2+q**2)**(1/2)*(b*q*x+c*x**2+b*p*x**4+a*(p*x**3+q)**2)/x**5,x)","\int \frac{\left(2 p x^{3} - q\right) \sqrt{p^{2} x^{6} + 2 p q x^{3} - 2 p q x^{2} + q^{2}} \left(a p^{2} x^{6} + 2 a p q x^{3} + a q^{2} + b p x^{4} + b q x + c x^{2}\right)}{x^{5}}\, dx"," ",0,"Integral((2*p*x**3 - q)*sqrt(p**2*x**6 + 2*p*q*x**3 - 2*p*q*x**2 + q**2)*(a*p**2*x**6 + 2*a*p*q*x**3 + a*q**2 + b*p*x**4 + b*q*x + c*x**2)/x**5, x)","F",0
2558,-1,0,0,0.000000," ","integrate((-a*(a-2*b)-2*b*x+x**2)/((-a+x)*(-b+x))**(2/3)/(a**2+b*d-(2*a+d)*x+x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2559,-1,0,0,0.000000," ","integrate((a-2*b+x)/((-a+x)*(-b+x))**(1/3)/(b+a**2*d+(-2*a*d-1)*x+d*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2560,-1,0,0,0.000000," ","integrate((a-2*b+x)/((-a+x)*(-b+x))**(1/3)/(b+a**2*d-(2*a*d+1)*x+d*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2561,-1,0,0,0.000000," ","integrate((-1+2*k*x+(1-2*k)*x**2)/((1-x)*x*(-k*x+1))**(2/3)/(b-(1+2*b)*x+(b+k)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2562,0,0,0,0.000000," ","integrate((-1+x)/(1+x)/(x**3-x**2)**(1/3),x)","\int \frac{x - 1}{\sqrt[3]{x^{2} \left(x - 1\right)} \left(x + 1\right)}\, dx"," ",0,"Integral((x - 1)/((x**2*(x - 1))**(1/3)*(x + 1)), x)","F",0
2563,-1,0,0,0.000000," ","integrate((x**6+x**3+x-1)**(2/3)*(3*x**6-2*x+3)/(x**6+x-1)/(x**6-x**3+x-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2564,-1,0,0,0.000000," ","integrate((2*x**8-2*x**4-1)/(x**4-1)**(1/4)/(x**8-x**4-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2565,-1,0,0,0.000000," ","integrate((2*x**8+2*x**4-1)/(x**4+1)**(1/4)/(x**8+x**4-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2566,-1,0,0,0.000000," ","integrate((-a*b+(2*a-b)*x)/(x*(-a+x)*(-b+x))**(1/3)/(-a**2+(-b*d+2*a)*x+(-1+d)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2567,-1,0,0,0.000000," ","integrate((a*x**4-4*b)*(a*x**4-b)**(1/4)/x**6/(a*x**8-8*b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2568,-1,0,0,0.000000," ","integrate((a*x**4-4*b)*(a*x**4-b)**(1/4)/x**6/(a*x**8-8*b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2569,0,0,0,0.000000," ","integrate(x/(1+x)/(x**3-x**2)**(1/3),x)","\int \frac{x}{\sqrt[3]{x^{2} \left(x - 1\right)} \left(x + 1\right)}\, dx"," ",0,"Integral(x/((x**2*(x - 1))**(1/3)*(x + 1)), x)","F",0
2570,0,0,0,0.000000," ","integrate((x**3-x**2)**(1/3)/(x**2-1),x)","\int \frac{\sqrt[3]{x^{2} \left(x - 1\right)}}{\left(x - 1\right) \left(x + 1\right)}\, dx"," ",0,"Integral((x**2*(x - 1))**(1/3)/((x - 1)*(x + 1)), x)","F",0
2571,0,0,0,0.000000," ","integrate(x**2*(a**2*x**4+b)**(1/2)*(a*x**2+(a**2*x**4+b)**(1/2))**(1/2),x)","\int x^{2} \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}} \sqrt{a^{2} x^{4} + b}\, dx"," ",0,"Integral(x**2*sqrt(a*x**2 + sqrt(a**2*x**4 + b))*sqrt(a**2*x**4 + b), x)","F",0
2572,0,0,0,0.000000," ","integrate((a**2*x**2-b*x)**(3/2)/(a*x**2+x*(a**2*x**2-b*x)**(1/2))**(3/2),x)","\int \frac{\left(x \left(a^{2} x - b\right)\right)^{\frac{3}{2}}}{\left(x \left(a x + \sqrt{a^{2} x^{2} - b x}\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((x*(a**2*x - b))**(3/2)/(x*(a*x + sqrt(a**2*x**2 - b*x)))**(3/2), x)","F",0
2573,-1,0,0,0.000000," ","integrate((-3*k+(k**2-2)*x+3*k*x**2+k**2*x**3)/((-x**2+1)*(-k**2*x**2+1))**(1/3)/(-1+d-(2+d)*k*x-(k**2+d)*x**2+d*k*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2574,0,0,0,0.000000," ","integrate((b*x+a)/x/(c*x-d)/(x**4-x**3)**(1/4),x)","\int \frac{a + b x}{x \sqrt[4]{x^{3} \left(x - 1\right)} \left(c x - d\right)}\, dx"," ",0,"Integral((a + b*x)/(x*(x**3*(x - 1))**(1/4)*(c*x - d)), x)","F",0
2575,-1,0,0,0.000000," ","integrate((-4+3*x)*((b*x**4+a*x-a)/(d*x**4+c*x-c))**(1/4)/(-1+x)/x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2576,-1,0,0,0.000000," ","integrate((x**3+1)**(2/3)*(2*x**6-2*x**3+1)/x**6/(2*x**6-x**3-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2577,0,0,0,0.000000," ","integrate(2/(3+x)/(8*x**2-8*x+2)**(2/3),x)","\sqrt[3]{2} \int \frac{1}{x \left(4 x^{2} - 4 x + 1\right)^{\frac{2}{3}} + 3 \left(4 x^{2} - 4 x + 1\right)^{\frac{2}{3}}}\, dx"," ",0,"2**(1/3)*Integral(1/(x*(4*x**2 - 4*x + 1)**(2/3) + 3*(4*x**2 - 4*x + 1)**(2/3)), x)","F",0
2578,0,0,0,0.000000," ","integrate((1-(-3+2*k)*x-(4+k)*x**2+3*k*x**3)/((1-x)*x*(-k*x+1))**(1/3)/(-1+(5+b)*x-(b*k+10)*x**2+10*x**3-5*x**4+x**5),x)","\int \frac{\left(x - 1\right) \left(3 k x^{2} + 2 k x - 4 x - 1\right)}{\sqrt[3]{x \left(x - 1\right) \left(k x - 1\right)} \left(- b k x^{2} + b x + x^{5} - 5 x^{4} + 10 x^{3} - 10 x^{2} + 5 x - 1\right)}\, dx"," ",0,"Integral((x - 1)*(3*k*x**2 + 2*k*x - 4*x - 1)/((x*(x - 1)*(k*x - 1))**(1/3)*(-b*k*x**2 + b*x + x**5 - 5*x**4 + 10*x**3 - 10*x**2 + 5*x - 1)), x)","F",0
2579,-1,0,0,0.000000," ","integrate(1/x/((1+x)*(2*q*x+x**2+q))**(1/3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2580,-1,0,0,0.000000," ","integrate((-1+2*x+(k**2-2*k)*x**2)/((1-x)*x*(-k*x+1))**(2/3)/(1-(b+2*k)*x+(k**2+b)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2581,-1,0,0,0.000000," ","integrate((3*k+(k**2-2)*x-3*k*x**2+k**2*x**3)/((-x**2+1)*(-k**2*x**2+1))**(1/3)/(1-d-(2+d)*k*x+(k**2+d)*x**2+d*k*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2582,-1,0,0,0.000000," ","integrate((3+2*(k**2+1)*x-(k**2+1)*x**2-4*k**2*x**3-k**2*x**4)/((-x**2+1)*(-k**2*x**2+1))**(2/3)/(1-d-(1+2*d)*x-(k**2+d)*x**2+k**2*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2583,-1,0,0,0.000000," ","integrate((((-1+x)/(1+2*x))**(1/4)-3*((-1+x)/(1+2*x))**(3/4))/(-1+x)/(1+x)**2/(-1+2*x),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2584,0,0,0,0.000000," ","integrate((p*x**2-q)*(p**2*x**4+q**2)**(1/2)/(b*x**3+a*(p*x**2+q)**3),x)","\int \frac{\left(p x^{2} - q\right) \sqrt{p^{2} x^{4} + q^{2}}}{a p^{3} x^{6} + 3 a p^{2} q x^{4} + 3 a p q^{2} x^{2} + a q^{3} + b x^{3}}\, dx"," ",0,"Integral((p*x**2 - q)*sqrt(p**2*x**4 + q**2)/(a*p**3*x**6 + 3*a*p**2*q*x**4 + 3*a*p*q**2*x**2 + a*q**3 + b*x**3), x)","F",0
2585,0,0,0,0.000000," ","integrate((p*x**2-q)*(p**2*x**4+q**2)**(1/2)/(b*x**3+a*(p*x**2+q)**3),x)","\int \frac{\left(p x^{2} - q\right) \sqrt{p^{2} x^{4} + q^{2}}}{a p^{3} x^{6} + 3 a p^{2} q x^{4} + 3 a p q^{2} x^{2} + a q^{3} + b x^{3}}\, dx"," ",0,"Integral((p*x**2 - q)*sqrt(p**2*x**4 + q**2)/(a*p**3*x**6 + 3*a*p**2*q*x**4 + 3*a*p*q**2*x**2 + a*q**3 + b*x**3), x)","F",0
2586,0,0,0,0.000000," ","integrate((x**2-1)**2/(x**2+1)**2/(x**4+1)**(1/2)/(x**2+(x**4+1)**(1/2))**(1/2),x)","\int \frac{\left(x - 1\right)^{2} \left(x + 1\right)^{2}}{\left(x^{2} + 1\right)^{2} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{x^{4} + 1}}\, dx"," ",0,"Integral((x - 1)**2*(x + 1)**2/((x**2 + 1)**2*sqrt(x**2 + sqrt(x**4 + 1))*sqrt(x**4 + 1)), x)","F",0
2587,-1,0,0,0.000000," ","integrate((-3+2*(k**2+1)*x+(k**2+1)*x**2-4*k**2*x**3+k**2*x**4)/((-x**2+1)*(-k**2*x**2+1))**(2/3)/(-1+d+(-1-2*d)*x+(k**2+d)*x**2+k**2*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2588,-1,0,0,0.000000," ","integrate(x**3*(-2+(1+k)*x)/((1-x)*x*(-k*x+1))**(2/3)/(1-(2+2*k)*x+(k**2+4*k+1)*x**2-(2*k**2+2*k)*x**3+(k**2-b)*x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2589,0,0,0,0.000000," ","integrate((x**2+1)**2/(x**2-1)**2/(x**4+1)**(1/2)/(x**2+(x**4+1)**(1/2))**(1/2),x)","\int \frac{\left(x^{2} + 1\right)^{2}}{\left(x - 1\right)^{2} \left(x + 1\right)^{2} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{x^{4} + 1}}\, dx"," ",0,"Integral((x**2 + 1)**2/((x - 1)**2*(x + 1)**2*sqrt(x**2 + sqrt(x**4 + 1))*sqrt(x**4 + 1)), x)","F",0
2590,0,0,0,0.000000," ","integrate((x**2-1)**2*(x**2+(x**4+1)**(1/2))**(1/2)/(x**2+1)**2/(x**4+1)**(1/2),x)","\int \frac{\left(x - 1\right)^{2} \left(x + 1\right)^{2} \sqrt{x^{2} + \sqrt{x^{4} + 1}}}{\left(x^{2} + 1\right)^{2} \sqrt{x^{4} + 1}}\, dx"," ",0,"Integral((x - 1)**2*(x + 1)**2*sqrt(x**2 + sqrt(x**4 + 1))/((x**2 + 1)**2*sqrt(x**4 + 1)), x)","F",0
2591,0,0,0,0.000000," ","integrate((x**2-1)/(x**2+1)/(1+(1+(1+x)**(1/2))**(1/2))**(1/2),x)","\int \frac{\left(x - 1\right) \left(x + 1\right)}{\left(x^{2} + 1\right) \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}}\, dx"," ",0,"Integral((x - 1)*(x + 1)/((x**2 + 1)*sqrt(sqrt(sqrt(x + 1) + 1) + 1)), x)","F",0
2592,0,0,0,0.000000," ","integrate((x**2-1)/(x**2+1)/(1+(1+(1+x)**(1/2))**(1/2))**(1/2),x)","\int \frac{\left(x - 1\right) \left(x + 1\right)}{\left(x^{2} + 1\right) \sqrt{\sqrt{\sqrt{x + 1} + 1} + 1}}\, dx"," ",0,"Integral((x - 1)*(x + 1)/((x**2 + 1)*sqrt(sqrt(sqrt(x + 1) + 1) + 1)), x)","F",0
2593,0,0,0,0.000000," ","integrate((-2+x)*(x**3-x**2+x)**(1/3)/(-1+x)/(x**2+x-1),x)","\int \frac{\sqrt[3]{x \left(x^{2} - x + 1\right)} \left(x - 2\right)}{\left(x - 1\right) \left(x^{2} + x - 1\right)}\, dx"," ",0,"Integral((x*(x**2 - x + 1))**(1/3)*(x - 2)/((x - 1)*(x**2 + x - 1)), x)","F",0
2594,0,0,0,0.000000," ","integrate((x**2+1)*(x**3+x**2)**(1/3)/(x**2-1),x)","\int \frac{\sqrt[3]{x^{2} \left(x + 1\right)} \left(x^{2} + 1\right)}{\left(x - 1\right) \left(x + 1\right)}\, dx"," ",0,"Integral((x**2*(x + 1))**(1/3)*(x**2 + 1)/((x - 1)*(x + 1)), x)","F",0
2595,1,80,0,4.549794," ","integrate((a*x-b)/x/(a**3*x**3-b**3)**(1/3),x)","\frac{a x e^{- \frac{i \pi}{3}} \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {\frac{a^{3} x^{3}}{b^{3}}} \right)}}{3 b \Gamma\left(\frac{4}{3}\right)} + \frac{b \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {\frac{b^{3} e^{2 i \pi}}{a^{3} x^{3}}} \right)}}{3 a x \Gamma\left(\frac{4}{3}\right)}"," ",0,"a*x*exp(-I*pi/3)*gamma(1/3)*hyper((1/3, 1/3), (4/3,), a**3*x**3/b**3)/(3*b*gamma(4/3)) + b*gamma(1/3)*hyper((1/3, 1/3), (4/3,), b**3*exp_polar(2*I*pi)/(a**3*x**3))/(3*a*x*gamma(4/3))","C",0
2596,0,0,0,0.000000," ","integrate((x**3-2)*(x**4+2*x**3+x)**(1/3)/(x**3+1)/(x**3+x**2+1),x)","\int \frac{\sqrt[3]{x \left(x^{3} + 2 x^{2} + 1\right)} \left(x^{3} - 2\right)}{\left(x + 1\right) \left(x^{2} - x + 1\right) \left(x^{3} + x^{2} + 1\right)}\, dx"," ",0,"Integral((x*(x**3 + 2*x**2 + 1))**(1/3)*(x**3 - 2)/((x + 1)*(x**2 - x + 1)*(x**3 + x**2 + 1)), x)","F",0
2597,-1,0,0,0.000000," ","integrate(x**4/(x**4-1)**(1/4)/(2*x**8-2*x**4+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2598,-1,0,0,0.000000," ","integrate((x**4-1)**(3/4)/(2*x**8-2*x**4+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2599,-1,0,0,0.000000," ","integrate(x**4/(x**4+1)**(1/4)/(2*x**8+2*x**4+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2600,-1,0,0,0.000000," ","integrate((x**4+1)**(3/4)/(2*x**8+2*x**4+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2601,0,0,0,0.000000," ","integrate(x**2*(a**2*x**2-b*x)**(1/2)/(a*x**2+x*(a**2*x**2-b*x)**(1/2))**(3/2),x)","\int \frac{x^{2} \sqrt{x \left(a^{2} x - b\right)}}{\left(x \left(a x + \sqrt{a^{2} x^{2} - b x}\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**2*sqrt(x*(a**2*x - b))/(x*(a*x + sqrt(a**2*x**2 - b*x)))**(3/2), x)","F",0
2602,0,0,0,0.000000," ","integrate((x**2+(x**4+1)**(1/2))**(1/2)/(1+x)/(x**4+1)**(1/2),x)","\int \frac{\sqrt{x^{2} + \sqrt{x^{4} + 1}}}{\left(x + 1\right) \sqrt{x^{4} + 1}}\, dx"," ",0,"Integral(sqrt(x**2 + sqrt(x**4 + 1))/((x + 1)*sqrt(x**4 + 1)), x)","F",0
2603,0,0,0,0.000000," ","integrate((a*x**2-b)/(2*a*x**3-b)/(a**3*x**3+b**2*x**2)**(1/3),x)","\int \frac{a x^{2} - b}{\sqrt[3]{x^{2} \left(a^{3} x + b^{2}\right)} \left(2 a x^{3} - b\right)}\, dx"," ",0,"Integral((a*x**2 - b)/((x**2*(a**3*x + b**2))**(1/3)*(2*a*x**3 - b)), x)","F",0
2604,0,0,0,0.000000," ","integrate((a*x**2-b)/(2*a*x**3-b)/(a**3*x**3+b**2*x**2)**(1/3),x)","\int \frac{a x^{2} - b}{\sqrt[3]{x^{2} \left(a^{3} x + b^{2}\right)} \left(2 a x^{3} - b\right)}\, dx"," ",0,"Integral((a*x**2 - b)/((x**2*(a**3*x + b**2))**(1/3)*(2*a*x**3 - b)), x)","F",0
2605,-1,0,0,0.000000," ","integrate((2*a*b*x-3*a*x**2+x**3)/(x**2*(-a+x)*(-b+x))**(1/3)/(-a**2+2*a*x-(b*d+1)*x**2+d*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2606,-1,0,0,0.000000," ","integrate(((k**2-2)*x+k**2*x**3)/((-x**2+1)*(-k**2*x**2+1))**(1/3)/(1-d+(d*k**2-2)*x**2+x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2607,0,0,0,0.000000," ","integrate((1+2*x)*(x**4+x**3)**(1/4)/(x**2+x-1),x)","\int \frac{\sqrt[4]{x^{3} \left(x + 1\right)} \left(2 x + 1\right)}{x^{2} + x - 1}\, dx"," ",0,"Integral((x**3*(x + 1))**(1/4)*(2*x + 1)/(x**2 + x - 1), x)","F",0
2608,-1,0,0,0.000000," ","integrate(((2*k**2-1)*x-2*k**4*x**3+k**4*x**5)/((-x**2+1)*(-k**2*x**2+1))**(2/3)/(-1+d+(-2*d*k**2+1)*x**2+d*k**4*x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2609,-1,0,0,0.000000," ","integrate((-a+x)*(-b+x)*(-2*a*b+(a+b)*x)/(x*(-a+x)*(-b+x))**(1/3)/(a**2*b**2*d-2*a*b*(a+b)*d*x+(a**2+4*a*b+b**2)*d*x**2-2*(a+b)*d*x**3+(-1+d)*x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2610,-1,0,0,0.000000," ","integrate((a**2*x**3+b**2)**(1/2)*(a**2*x**6+c*x**3+2*b**2)/x/(a**2*x**6+b**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2611,0,0,0,0.000000," ","integrate((x**4+x)**(1/2)*(a*x**6+b)/(c*x**6-d),x)","\int \frac{\sqrt{x \left(x + 1\right) \left(x^{2} - x + 1\right)} \left(a x^{6} + b\right)}{c x^{6} - d}\, dx"," ",0,"Integral(sqrt(x*(x + 1)*(x**2 - x + 1))*(a*x**6 + b)/(c*x**6 - d), x)","F",0
2612,-1,0,0,0.000000," ","integrate(x*(k*x-1)*(1-2*k*x+(-1+2*k)*x**2)/((1-x)*x*(-k*x+1))**(2/3)/(-1+4*x+(-6+b)*x**2+(-2*b*k+4)*x**3+(b*k**2-1)*x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2613,-1,0,0,0.000000," ","integrate((a*p*x**4+4*b*p*x**3-3*a*q)/(p*x**4+q)**(1/3)/(a**3*d*x**3+3*a**2*b*d*x**2+c*p*x**4+3*a*b**2*d*x+b**3*d+c*q),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2614,-1,0,0,0.000000," ","integrate(x**2/(x**2-(a*x+b)**(1/2)*(c+(a*x+b)**(1/2))**(1/2)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2615,-1,0,0,0.000000," ","integrate(x**2/(x**2-(a*x+b)**(1/2)*(c+(a*x+b)**(1/2))**(1/2)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2616,-1,0,0,0.000000," ","integrate((3+(2*k**2-1)*x-3*k**2*x**2-k**2*x**3)/((-x**2+1)*(-k**2*x**2+1))**(1/3)/(1-d-(1+2*d)*x-(k**2+d)*x**2+k**2*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2617,-1,0,0,0.000000," ","integrate((3+(-2*k**2+1)*x-3*k**2*x**2+k**2*x**3)/((-x**2+1)*(-k**2*x**2+1))**(1/3)/(-1+d-(1+2*d)*x+(k**2+d)*x**2+k**2*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2618,-1,0,0,0.000000," ","integrate((a**4*x**4-b**4)**(1/2)*(a**4*x**4+b**4)/(a**8*x**8+b**8-c*x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2619,-1,0,0,0.000000," ","integrate((a**8*x**8-b**8)/(a**4*x**4-b**4)**(1/2)/(a**8*x**8+b**8-c*x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2620,0,0,0,0.000000," ","integrate((a*x+(a*x-b)**(1/2))**(1/2)/x**2,x)","\int \frac{\sqrt{a x + \sqrt{a x - b}}}{x^{2}}\, dx"," ",0,"Integral(sqrt(a*x + sqrt(a*x - b))/x**2, x)","F",0
2621,-1,0,0,0.000000," ","integrate((-1+2*k*x+(1-2*k)*x**2)/((1-x)*x*(-k*x+1))**(2/3)/(1-(2+b)*x+(b*k+1)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2622,0,0,0,0.000000," ","integrate(x**3*(x**2+3)/(x**2+1)/(-x**3+x**2+1)**(1/3)/(x**3+x**2+1),x)","\int \frac{x^{3} \left(x^{2} + 3\right)}{\left(x^{2} + 1\right) \sqrt[3]{- x^{3} + x^{2} + 1} \left(x^{3} + x^{2} + 1\right)}\, dx"," ",0,"Integral(x**3*(x**2 + 3)/((x**2 + 1)*(-x**3 + x**2 + 1)**(1/3)*(x**3 + x**2 + 1)), x)","F",0
2623,0,0,0,0.000000," ","integrate((x**2+1)*(x**4-x**3)**(1/4)/(2*x**2+x-1),x)","\int \frac{\sqrt[4]{x^{3} \left(x - 1\right)} \left(x^{2} + 1\right)}{\left(x + 1\right) \left(2 x - 1\right)}\, dx"," ",0,"Integral((x**3*(x - 1))**(1/4)*(x**2 + 1)/((x + 1)*(2*x - 1)), x)","F",0
2624,-1,0,0,0.000000," ","integrate((a*x**4+b*x**2)**(1/4)*(x**8+a*x**4+b)/(a*x**4+b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2625,-1,0,0,0.000000," ","integrate((a*x**4+b*x**2)**(1/4)*(x**8+a*x**4+b)/(a*x**4+b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2626,0,0,0,0.000000," ","integrate(1/(x**2-1)**(1/3)/(x**2+3),x)","\int \frac{1}{\sqrt[3]{\left(x - 1\right) \left(x + 1\right)} \left(x^{2} + 3\right)}\, dx"," ",0,"Integral(1/(((x - 1)*(x + 1))**(1/3)*(x**2 + 3)), x)","F",0
2627,0,0,0,0.000000," ","integrate((1+x)/(x**2+3*x+1)/(-x**3+1)**(1/3),x)","\int \frac{x + 1}{\sqrt[3]{- \left(x - 1\right) \left(x^{2} + x + 1\right)} \left(x^{2} + 3 x + 1\right)}\, dx"," ",0,"Integral((x + 1)/((-(x - 1)*(x**2 + x + 1))**(1/3)*(x**2 + 3*x + 1)), x)","F",0
2628,-1,0,0,0.000000," ","integrate((3*k+2*(k**2+1)*x-k*(k**2+1)*x**2-4*k**2*x**3-k**3*x**4)/((-x**2+1)*(-k**2*x**2+1))**(2/3)/(1-d-(1+2*d)*k*x-(d*k**2+1)*x**2+k*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2629,0,0,0,0.000000," ","integrate((x**4-x)**(1/2)*(a*x**6+b)/(c*x**6-d),x)","\int \frac{\sqrt{x \left(x - 1\right) \left(x^{2} + x + 1\right)} \left(a x^{6} + b\right)}{c x^{6} - d}\, dx"," ",0,"Integral(sqrt(x*(x - 1)*(x**2 + x + 1))*(a*x**6 + b)/(c*x**6 - d), x)","F",0
2630,-1,0,0,0.000000," ","integrate((a**2*b-2*a**2*x+(2*a-b)*x**2)/(x*(-a+x)*(-b+x))**(2/3)/(a**2*d+(-2*a*d+b)*x+(-1+d)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2631,-1,0,0,0.000000," ","integrate((2*a*b**2*x-b*(2*a+b)*x**2+x**4)/(x*(-a+x)*(-b+x)**2)**(2/3)/(-a*b**2+b*(2*a+b)*x-(a+2*b+d)*x**2+x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2632,-1,0,0,0.000000," ","integrate((-3*k+2*(k**2+1)*x+k*(k**2+1)*x**2-4*k**2*x**3+k**3*x**4)/((-x**2+1)*(-k**2*x**2+1))**(2/3)/(-1+d-(1+2*d)*k*x+(d*k**2+1)*x**2+k*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2633,0,0,0,0.000000," ","integrate((1-((-1+3*x)*(3+4*x))**(3/2))/(1+((-1+3*x)*(3+4*x))**(3/2)),x)","- \int \left(- \frac{3 \sqrt{12 x^{2} + 5 x - 3}}{12 x^{2} \sqrt{12 x^{2} + 5 x - 3} + 5 x \sqrt{12 x^{2} + 5 x - 3} - 3 \sqrt{12 x^{2} + 5 x - 3} + 1}\right)\, dx - \int \frac{5 x \sqrt{12 x^{2} + 5 x - 3}}{12 x^{2} \sqrt{12 x^{2} + 5 x - 3} + 5 x \sqrt{12 x^{2} + 5 x - 3} - 3 \sqrt{12 x^{2} + 5 x - 3} + 1}\, dx - \int \frac{12 x^{2} \sqrt{12 x^{2} + 5 x - 3}}{12 x^{2} \sqrt{12 x^{2} + 5 x - 3} + 5 x \sqrt{12 x^{2} + 5 x - 3} - 3 \sqrt{12 x^{2} + 5 x - 3} + 1}\, dx - \int \left(- \frac{1}{12 x^{2} \sqrt{12 x^{2} + 5 x - 3} + 5 x \sqrt{12 x^{2} + 5 x - 3} - 3 \sqrt{12 x^{2} + 5 x - 3} + 1}\right)\, dx"," ",0,"-Integral(-3*sqrt(12*x**2 + 5*x - 3)/(12*x**2*sqrt(12*x**2 + 5*x - 3) + 5*x*sqrt(12*x**2 + 5*x - 3) - 3*sqrt(12*x**2 + 5*x - 3) + 1), x) - Integral(5*x*sqrt(12*x**2 + 5*x - 3)/(12*x**2*sqrt(12*x**2 + 5*x - 3) + 5*x*sqrt(12*x**2 + 5*x - 3) - 3*sqrt(12*x**2 + 5*x - 3) + 1), x) - Integral(12*x**2*sqrt(12*x**2 + 5*x - 3)/(12*x**2*sqrt(12*x**2 + 5*x - 3) + 5*x*sqrt(12*x**2 + 5*x - 3) - 3*sqrt(12*x**2 + 5*x - 3) + 1), x) - Integral(-1/(12*x**2*sqrt(12*x**2 + 5*x - 3) + 5*x*sqrt(12*x**2 + 5*x - 3) - 3*sqrt(12*x**2 + 5*x - 3) + 1), x)","F",0
2634,0,0,0,0.000000," ","integrate(1/(a**2*x**2-b*x)**(3/2)/(a*x**2+x*(a**2*x**2-b*x)**(1/2))**(3/2),x)","\int \frac{1}{\left(x \left(a x + \sqrt{a^{2} x^{2} - b x}\right)\right)^{\frac{3}{2}} \left(x \left(a^{2} x - b\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/((x*(a*x + sqrt(a**2*x**2 - b*x)))**(3/2)*(x*(a**2*x - b))**(3/2)), x)","F",0
2635,-1,0,0,0.000000," ","integrate(1/x/((-1+x)*(-2*q*x+x**2+q))**(1/3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2636,-1,0,0,0.000000," ","integrate((a*b+(-2*a+b)*x)/(x*(-a+x)*(-b+x))**(1/3)/(a**2*d+(-2*a*d+b)*x+(-1+d)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2637,0,0,0,0.000000," ","integrate((x**4+1)/(x**4-x**2-1)/(x**4-x**2)**(1/4),x)","\int \frac{x^{4} + 1}{\sqrt[4]{x^{2} \left(x - 1\right) \left(x + 1\right)} \left(x^{4} - x^{2} - 1\right)}\, dx"," ",0,"Integral((x**4 + 1)/((x**2*(x - 1)*(x + 1))**(1/4)*(x**4 - x**2 - 1)), x)","F",0
2638,0,0,0,0.000000," ","integrate(x**3*(-a/b**2+a**2*x**2/b**2)**(1/2)/(a*x**2+b*x*(-a/b**2+a**2*x**2/b**2)**(1/2))**(1/2),x)","\int \frac{x^{3} \sqrt{\frac{a \left(a x^{2} - 1\right)}{b^{2}}}}{\sqrt{x \left(a x + b \sqrt{\frac{a^{2} x^{2}}{b^{2}} - \frac{a}{b^{2}}}\right)}}\, dx"," ",0,"Integral(x**3*sqrt(a*(a*x**2 - 1)/b**2)/sqrt(x*(a*x + b*sqrt(a**2*x**2/b**2 - a/b**2))), x)","F",0
2639,0,0,0,0.000000," ","integrate((x**3-x)**(1/3)*(x**4-2)/x**4/(x**2+1),x)","\int \frac{\sqrt[3]{x \left(x - 1\right) \left(x + 1\right)} \left(x^{4} - 2\right)}{x^{4} \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x*(x - 1)*(x + 1))**(1/3)*(x**4 - 2)/(x**4*(x**2 + 1)), x)","F",0
2640,-1,0,0,0.000000," ","integrate(2*(a*p*x**5-2*b*p*x**3+3*a*q*x)/(p*x**4+q)**(1/3)/(b**3*d+c*q+3*a*b**2*d*x**2+(3*a**2*b*d+c*p)*x**4+a**3*d*x**6),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2641,-1,0,0,0.000000," ","integrate((b**2-2*b*x+x**2)*(-a**2*b+4*a*b*x-(2*a+3*b)*x**2+2*x**3)/(x*(-a+x)**2*(-b+x)**3)**(3/4)/(b*d+(a**2-d)*x-2*a*x**2+x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2642,-1,0,0,0.000000," ","integrate((-2+(1+k)*x)*(1-2*(1+k)*x+(k**2+4*k+1)*x**2-2*(k**2+k)*x**3+(k**2+a)*x**4)/x**3/((1-x)*x*(-k*x+1))**(2/3)/(1-(1+k)*x+(-b+k)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2643,0,0,0,0.000000," ","integrate((x**3+1)*(x**3-x**2)**(1/3)/(x**6+1),x)","\int \frac{\sqrt[3]{x^{2} \left(x - 1\right)} \left(x + 1\right) \left(x^{2} - x + 1\right)}{\left(x^{2} + 1\right) \left(x^{4} - x^{2} + 1\right)}\, dx"," ",0,"Integral((x**2*(x - 1))**(1/3)*(x + 1)*(x**2 - x + 1)/((x**2 + 1)*(x**4 - x**2 + 1)), x)","F",0
2644,0,0,0,0.000000," ","integrate((a*x**2+(a**2*x**4+b)**(1/2))**(1/2)/(c*x**2+d)/(a**2*x**4+b)**(1/2),x)","\int \frac{\sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}{\sqrt{a^{2} x^{4} + b} \left(c x^{2} + d\right)}\, dx"," ",0,"Integral(sqrt(a*x**2 + sqrt(a**2*x**4 + b))/(sqrt(a**2*x**4 + b)*(c*x**2 + d)), x)","F",0
2645,0,0,0,0.000000," ","integrate((a*x**2+(a**2*x**4+b)**(1/2))**(1/2)/(c*x**2+d)/(a**2*x**4+b)**(1/2),x)","\int \frac{\sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}{\sqrt{a^{2} x^{4} + b} \left(c x^{2} + d\right)}\, dx"," ",0,"Integral(sqrt(a*x**2 + sqrt(a**2*x**4 + b))/(sqrt(a**2*x**4 + b)*(c*x**2 + d)), x)","F",0
2646,0,0,0,0.000000," ","integrate((a*x+(a**2*x**2+b)**(1/2))**(1/2)*(c+(a*x+(a**2*x**2+b)**(1/2))**(1/2))**(1/2)/(a**2*x**2+b)**(3/2),x)","\int \frac{\sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}} \sqrt{a x + \sqrt{a^{2} x^{2} + b}}}{\left(a^{2} x^{2} + b\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sqrt(c + sqrt(a*x + sqrt(a**2*x**2 + b)))*sqrt(a*x + sqrt(a**2*x**2 + b))/(a**2*x**2 + b)**(3/2), x)","F",0
2647,0,0,0,0.000000," ","integrate((a*x+(a**2*x**2+b)**(1/2))**(1/2)*(c+(a*x+(a**2*x**2+b)**(1/2))**(1/2))**(1/2)/(a**2*x**2+b)**(3/2),x)","\int \frac{\sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}} \sqrt{a x + \sqrt{a^{2} x^{2} + b}}}{\left(a^{2} x^{2} + b\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sqrt(c + sqrt(a*x + sqrt(a**2*x**2 + b)))*sqrt(a*x + sqrt(a**2*x**2 + b))/(a**2*x**2 + b)**(3/2), x)","F",0
2648,0,0,0,0.000000," ","integrate((a*k*x+k*x**2+1)/(k*x**2-1)/((-x**2+1)*(-k**2*x**2+1))**(1/2),x)","\int \frac{a k x + k x^{2} + 1}{\sqrt{\left(x - 1\right) \left(x + 1\right) \left(k x - 1\right) \left(k x + 1\right)} \left(k x^{2} - 1\right)}\, dx"," ",0,"Integral((a*k*x + k*x**2 + 1)/(sqrt((x - 1)*(x + 1)*(k*x - 1)*(k*x + 1))*(k*x**2 - 1)), x)","F",0
2649,-1,0,0,0.000000," ","integrate((3*k+(-k**2+2)*x-3*k*x**2-k**2*x**3)/((-x**2+1)*(-k**2*x**2+1))**(1/3)/(1-d-(1+2*d)*k*x+(-d*k**2-1)*x**2+k*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2650,-1,0,0,0.000000," ","integrate((3*k+(k**2-2)*x-3*k*x**2+k**2*x**3)/((-x**2+1)*(-k**2*x**2+1))**(1/3)/(-1+d-(1+2*d)*k*x+(d*k**2+1)*x**2+k*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2651,0,0,0,0.000000," ","integrate((a*x**4-b*x**3)**(1/4)/(c*x**2+d),x)","\int \frac{\sqrt[4]{x^{3} \left(a x - b\right)}}{c x^{2} + d}\, dx"," ",0,"Integral((x**3*(a*x - b))**(1/4)/(c*x**2 + d), x)","F",0
2652,0,0,0,0.000000," ","integrate((a*x**4-b*x**3)**(1/4)/(c*x**2+d),x)","\int \frac{\sqrt[4]{x^{3} \left(a x - b\right)}}{c x^{2} + d}\, dx"," ",0,"Integral((x**3*(a*x - b))**(1/4)/(c*x**2 + d), x)","F",0
2653,0,0,0,0.000000," ","integrate((c*x**4+d)/x/(a*x+(a**2*x**2+b**2)**(1/2))**(1/2),x)","\int \frac{c x^{4} + d}{x \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}}\, dx"," ",0,"Integral((c*x**4 + d)/(x*sqrt(a*x + sqrt(a**2*x**2 + b**2))), x)","F",0
2654,0,0,0,0.000000," ","integrate((x**2+1)**(1/2)*(1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(x+(x**2+1)**(1/2))**(1/2),x)","\int \frac{\sqrt{x^{2} + 1} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{\sqrt{x + \sqrt{x^{2} + 1}}}\, dx"," ",0,"Integral(sqrt(x**2 + 1)*sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/sqrt(x + sqrt(x**2 + 1)), x)","F",0
2655,0,0,0,0.000000," ","integrate((x**2+1)**(1/2)*(x+(x**2+1)**(1/2))**(1/2)*(1+(x+(x**2+1)**(1/2))**(1/2))**(1/2),x)","\int \sqrt{x + \sqrt{x^{2} + 1}} \sqrt{x^{2} + 1} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\, dx"," ",0,"Integral(sqrt(x + sqrt(x**2 + 1))*sqrt(x**2 + 1)*sqrt(sqrt(x + sqrt(x**2 + 1)) + 1), x)","F",0
2656,0,0,0,0.000000," ","integrate((x**4-x**3)**(1/4)/x/(a*x-b),x)","\int \frac{\sqrt[4]{x^{3} \left(x - 1\right)}}{x \left(a x - b\right)}\, dx"," ",0,"Integral((x**3*(x - 1))**(1/4)/(x*(a*x - b)), x)","F",0
2657,-1,0,0,0.000000," ","integrate(x**3*(-2*a*b+(a+b)*x)/(x*(-a+x)*(-b+x))**(2/3)/(-a**2*b**2+2*a*b*(a+b)*x-(a**2+4*a*b+b**2)*x**2+2*(a+b)*x**3+(-1+d)*x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2658,0,0,0,0.000000," ","integrate((2*x**6+1)/(x**3+x)**(1/3)/(x**6-1),x)","\int \frac{2 x^{6} + 1}{\sqrt[3]{x \left(x^{2} + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)}\, dx"," ",0,"Integral((2*x**6 + 1)/((x*(x**2 + 1))**(1/3)*(x - 1)*(x + 1)*(x**2 - x + 1)*(x**2 + x + 1)), x)","F",0
2659,0,0,0,0.000000," ","integrate((2*x**6+1)/(x**3+x)**(1/3)/(x**6-1),x)","\int \frac{2 x^{6} + 1}{\sqrt[3]{x \left(x^{2} + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)}\, dx"," ",0,"Integral((2*x**6 + 1)/((x*(x**2 + 1))**(1/3)*(x - 1)*(x + 1)*(x**2 - x + 1)*(x**2 + x + 1)), x)","F",0
2660,0,0,0,0.000000," ","integrate((a*x**3-4*b)*(a*x**3+b)**(1/3)/x**5/(a*x**3-2*b),x)","\int \frac{\left(a x^{3} - 4 b\right) \sqrt[3]{a x^{3} + b}}{x^{5} \left(a x^{3} - 2 b\right)}\, dx"," ",0,"Integral((a*x**3 - 4*b)*(a*x**3 + b)**(1/3)/(x**5*(a*x**3 - 2*b)), x)","F",0
2661,-1,0,0,0.000000," ","integrate((-2*a**2*b*x+a*(3*a+2*b)*x**2-4*a*x**3+x**4)/(x**2*(-a+x)*(-b+x))**(2/3)/(-a**2*d+2*a*d*x-(b+d)*x**2+x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2662,-1,0,0,0.000000," ","integrate((-2+(1+k)*x)*(1-2*(1+k)*x+(k**2+4*k+1)*x**2-2*(k**2+k)*x**3+(k**2+a)*x**4)/x**4/((1-x)*x*(-k*x+1))**(1/3)/(1-(1+k)*x+(-b+k)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2663,0,0,0,0.000000," ","integrate(x**6*(x**4+x)**(1/2)/(a*x**6+b),x)","\int \frac{x^{6} \sqrt{x \left(x + 1\right) \left(x^{2} - x + 1\right)}}{a x^{6} + b}\, dx"," ",0,"Integral(x**6*sqrt(x*(x + 1)*(x**2 - x + 1))/(a*x**6 + b), x)","F",0
2664,-1,0,0,0.000000," ","integrate((a*x**4+b*x**2)**(1/4)*(x**8-a*x**4-b)/(a*x**4-b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2665,-1,0,0,0.000000," ","integrate((a*x**4+b*x**2)**(1/4)*(x**8-a*x**4-b)/(a*x**4-b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2666,0,0,0,0.000000," ","integrate((5*x**7+2*x**4-2)*(x**8+x**5-x**3+x)**(1/3)/(2*x**7+2*x**4+x**2+2)**2,x)","\int \frac{\sqrt[3]{x \left(x + 1\right) \left(x^{6} - x^{5} + x^{4} - x + 1\right)} \left(5 x^{7} + 2 x^{4} - 2\right)}{\left(2 x^{7} + 2 x^{4} + x^{2} + 2\right)^{2}}\, dx"," ",0,"Integral((x*(x + 1)*(x**6 - x**5 + x**4 - x + 1))**(1/3)*(5*x**7 + 2*x**4 - 2)/(2*x**7 + 2*x**4 + x**2 + 2)**2, x)","F",0
2667,0,0,0,0.000000," ","integrate((a**5*x**5-b**5)/(a**2*x**3+b**2*x)**(1/2)/(a**5*x**5+b**5),x)","\int \frac{\left(a x - b\right) \left(a^{4} x^{4} + a^{3} b x^{3} + a^{2} b^{2} x^{2} + a b^{3} x + b^{4}\right)}{\sqrt{x \left(a^{2} x^{2} + b^{2}\right)} \left(a x + b\right) \left(a^{4} x^{4} - a^{3} b x^{3} + a^{2} b^{2} x^{2} - a b^{3} x + b^{4}\right)}\, dx"," ",0,"Integral((a*x - b)*(a**4*x**4 + a**3*b*x**3 + a**2*b**2*x**2 + a*b**3*x + b**4)/(sqrt(x*(a**2*x**2 + b**2))*(a*x + b)*(a**4*x**4 - a**3*b*x**3 + a**2*b**2*x**2 - a*b**3*x + b**4)), x)","F",0
2668,0,0,0,0.000000," ","integrate((a**5*x**5+b**5)/(a**2*x**3+b**2*x)**(1/2)/(a**5*x**5-b**5),x)","\int \frac{\left(a x + b\right) \left(a^{4} x^{4} - a^{3} b x^{3} + a^{2} b^{2} x^{2} - a b^{3} x + b^{4}\right)}{\sqrt{x \left(a^{2} x^{2} + b^{2}\right)} \left(a x - b\right) \left(a^{4} x^{4} + a^{3} b x^{3} + a^{2} b^{2} x^{2} + a b^{3} x + b^{4}\right)}\, dx"," ",0,"Integral((a*x + b)*(a**4*x**4 - a**3*b*x**3 + a**2*b**2*x**2 - a*b**3*x + b**4)/(sqrt(x*(a**2*x**2 + b**2))*(a*x - b)*(a**4*x**4 + a**3*b*x**3 + a**2*b**2*x**2 + a*b**3*x + b**4)), x)","F",0
2669,0,0,0,0.000000," ","integrate((2*x**8-a*x**4-2*b)/x**4/(a*x**4-b)**(1/4)/(2*a*x**4-b),x)","\int \frac{- a x^{4} - 2 b + 2 x^{8}}{x^{4} \sqrt[4]{a x^{4} - b} \left(2 a x^{4} - b\right)}\, dx"," ",0,"Integral((-a*x**4 - 2*b + 2*x**8)/(x**4*(a*x**4 - b)**(1/4)*(2*a*x**4 - b)), x)","F",0
2670,0,0,0,0.000000," ","integrate((x**16-1)/(x**4-1)**(1/2)/(x**16+x**8+1),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \left(x^{4} + 1\right) \left(x^{8} + 1\right)}{\sqrt{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)} \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right) \left(x^{4} - x^{2} + 1\right) \left(x^{8} - x^{4} + 1\right)}\, dx"," ",0,"Integral((x - 1)*(x + 1)*(x**2 + 1)*(x**4 + 1)*(x**8 + 1)/(sqrt((x - 1)*(x + 1)*(x**2 + 1))*(x**2 - x + 1)*(x**2 + x + 1)*(x**4 - x**2 + 1)*(x**8 - x**4 + 1)), x)","F",0
2671,-1,0,0,0.000000," ","integrate((2*a*b*x-3*a*x**2+x**3)/(x**2*(-a+x)*(-b+x))**(1/3)/(-a**2*d+2*a*d*x-(b+d)*x**2+x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2672,0,0,0,0.000000," ","integrate((c*x**2+d)*(a*x**4+b*x**3)**(1/4)/x**2/(c*x**2-d),x)","\int \frac{\sqrt[4]{x^{3} \left(a x + b\right)} \left(c x^{2} + d\right)}{x^{2} \left(c x^{2} - d\right)}\, dx"," ",0,"Integral((x**3*(a*x + b))**(1/4)*(c*x**2 + d)/(x**2*(c*x**2 - d)), x)","F",0
2673,0,0,0,0.000000," ","integrate((c*x**2+d)*(a*x**4+b*x**3)**(1/4)/x**2/(c*x**2-d),x)","\int \frac{\sqrt[4]{x^{3} \left(a x + b\right)} \left(c x^{2} + d\right)}{x^{2} \left(c x^{2} - d\right)}\, dx"," ",0,"Integral((x**3*(a*x + b))**(1/4)*(c*x**2 + d)/(x**2*(c*x**2 - d)), x)","F",0
2674,0,0,0,0.000000," ","integrate((x**4-1)/(x**4+1)/(a*x**4+b*x**3+c*x**2+b*x+a)**(1/2),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}{\left(x^{4} + 1\right) \sqrt{a x^{4} + a + b x^{3} + b x + c x^{2}}}\, dx"," ",0,"Integral((x - 1)*(x + 1)*(x**2 + 1)/((x**4 + 1)*sqrt(a*x**4 + a + b*x**3 + b*x + c*x**2)), x)","F",0
2675,-1,0,0,0.000000," ","integrate(((k**2-2)*x+k**2*x**3)/((-x**2+1)*(-k**2*x**2+1))**(1/3)/(-1+d+(k**2-2*d)*x**2+d*x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2676,-1,0,0,0.000000," ","integrate(((2*k**2-1)*x-2*k**4*x**3+k**4*x**5)/((-x**2+1)*(-k**2*x**2+1))**(2/3)/(1-d+(-2*k**2+d)*x**2+k**4*x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2677,0,0,0,0.000000," ","integrate((x**6-2)*(x**6-x**4+1)/(x**6+1)**(1/4)/(x**12+x**8+2*x**6+1),x)","\int \frac{\left(x^{6} - 2\right) \left(x^{6} - x^{4} + 1\right)}{\sqrt[4]{\left(x^{2} + 1\right) \left(x^{4} - x^{2} + 1\right)} \left(x^{12} + x^{8} + 2 x^{6} + 1\right)}\, dx"," ",0,"Integral((x**6 - 2)*(x**6 - x**4 + 1)/(((x**2 + 1)*(x**4 - x**2 + 1))**(1/4)*(x**12 + x**8 + 2*x**6 + 1)), x)","F",0
2678,-1,0,0,0.000000," ","integrate((2*p*x**3-q)*(a*p*x**3+a*q+b*x)*(p**2*x**6+2*p*q*x**3-2*p*q*x**2+q**2)**(1/2)/x**3/(c*p*x**3+c*q+d*x),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2679,0,0,0,0.000000," ","integrate((x**2-1)/(x**2+1)/(x**2+(x**4+1)**(1/2))**(1/2),x)","\int \frac{\left(x - 1\right) \left(x + 1\right)}{\left(x^{2} + 1\right) \sqrt{x^{2} + \sqrt{x^{4} + 1}}}\, dx"," ",0,"Integral((x - 1)*(x + 1)/((x**2 + 1)*sqrt(x**2 + sqrt(x**4 + 1))), x)","F",0
2680,0,0,0,0.000000," ","integrate((x**2-1)*(x**2+(x**4+1)**(1/2))**(1/2)/(x**2+1),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \sqrt{x^{2} + \sqrt{x^{4} + 1}}}{x^{2} + 1}\, dx"," ",0,"Integral((x - 1)*(x + 1)*sqrt(x**2 + sqrt(x**4 + 1))/(x**2 + 1), x)","F",0
2681,0,0,0,0.000000," ","integrate((x**2+1)**(1/2)*(1+(x+(x**2+1)**(1/2))**(1/2))**(1/2),x)","\int \sqrt{x^{2} + 1} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\, dx"," ",0,"Integral(sqrt(x**2 + 1)*sqrt(sqrt(x + sqrt(x**2 + 1)) + 1), x)","F",0
2682,-1,0,0,0.000000," ","integrate(x*(-a+x)/(x**2*(-a+x))**(2/3)/(a**2*d-2*a*d*x+(-1+d)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2683,0,0,0,0.000000," ","integrate(x/(x**2*(-a+x))**(1/3)/(a**2*d-2*a*d*x+(-1+d)*x**2),x)","\int \frac{x}{\sqrt[3]{x^{2} \left(- a + x\right)} \left(a^{2} d - 2 a d x + d x^{2} - x^{2}\right)}\, dx"," ",0,"Integral(x/((x**2*(-a + x))**(1/3)*(a**2*d - 2*a*d*x + d*x**2 - x**2)), x)","F",0
2684,-1,0,0,0.000000," ","integrate((-a*x+x**2)/(x**2*(-a+x))**(2/3)/(a**2*d-2*a*d*x+(-1+d)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2685,0,0,0,0.000000," ","integrate((-1+x)/(1+x)/(x**3-1)**(1/3),x)","\int \frac{x - 1}{\sqrt[3]{\left(x - 1\right) \left(x^{2} + x + 1\right)} \left(x + 1\right)}\, dx"," ",0,"Integral((x - 1)/(((x - 1)*(x**2 + x + 1))**(1/3)*(x + 1)), x)","F",0
2686,0,0,0,0.000000," ","integrate((x**2+1)*(x**3-x**2)**(1/3)/(x**2-1),x)","\int \frac{\sqrt[3]{x^{2} \left(x - 1\right)} \left(x^{2} + 1\right)}{\left(x - 1\right) \left(x + 1\right)}\, dx"," ",0,"Integral((x**2*(x - 1))**(1/3)*(x**2 + 1)/((x - 1)*(x + 1)), x)","F",0
2687,0,0,0,0.000000," ","integrate((a*x**4+b)/(x**4-a*x**2-b)/(a*x**4-b*x**2)**(1/4),x)","\int \frac{a x^{4} + b}{\sqrt[4]{x^{2} \left(a x^{2} - b\right)} \left(- a x^{2} - b + x^{4}\right)}\, dx"," ",0,"Integral((a*x**4 + b)/((x**2*(a*x**2 - b))**(1/4)*(-a*x**2 - b + x**4)), x)","F",0
2688,0,0,0,0.000000," ","integrate((a*x**4+b)/(x**4-a*x**2-b)/(a*x**4-b*x**2)**(1/4),x)","\int \frac{a x^{4} + b}{\sqrt[4]{x^{2} \left(a x^{2} - b\right)} \left(- a x^{2} - b + x^{4}\right)}\, dx"," ",0,"Integral((a*x**4 + b)/((x**2*(a*x**2 - b))**(1/4)*(-a*x**2 - b + x**4)), x)","F",0
2689,-1,0,0,0.000000," ","integrate(((-2*k**2+1)*x+k**2*x**3)/((-x**2+1)*(-k**2*x**2+1))**(1/3)/(1-d+(-2*k**2+d)*x**2+k**4*x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2690,-1,0,0,0.000000," ","integrate(((-k**2+2)*x-2*x**3+k**2*x**5)/((-x**2+1)*(-k**2*x**2+1))**(2/3)/(-1+d+(k**2-2*d)*x**2+d*x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2691,1,49,0,1.283095," ","integrate(1/x**4/(b+(a*x**2+b**2)**(1/2))**(1/2),x)","- \frac{\Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right) {{}_{3}F_{2}\left(\begin{matrix} - \frac{3}{2}, \frac{1}{4}, \frac{3}{4} \\ - \frac{1}{2}, \frac{3}{2} \end{matrix}\middle| {\frac{a x^{2} e^{i \pi}}{b^{2}}} \right)}}{6 \pi \sqrt{b} x^{3}}"," ",0,"-gamma(1/4)*gamma(3/4)*hyper((-3/2, 1/4, 3/4), (-1/2, 3/2), a*x**2*exp_polar(I*pi)/b**2)/(6*pi*sqrt(b)*x**3)","C",0
2692,0,0,0,0.000000," ","integrate((-a*(a-5*b)-(3*a+5*b)*x+4*x**2)/((-a+x)*(-b+x))**(1/3)/(-a**5+b*d-(-5*a**4+d)*x-10*a**3*x**2+10*a**2*x**3-5*a*x**4+x**5),x)","\int \frac{\left(- a + x\right) \left(a - 5 b + 4 x\right)}{\sqrt[3]{\left(- a + x\right) \left(- b + x\right)} \left(- a^{5} + 5 a^{4} x - 10 a^{3} x^{2} + 10 a^{2} x^{3} - 5 a x^{4} + b d - d x + x^{5}\right)}\, dx"," ",0,"Integral((-a + x)*(a - 5*b + 4*x)/(((-a + x)*(-b + x))**(1/3)*(-a**5 + 5*a**4*x - 10*a**3*x**2 + 10*a**2*x**3 - 5*a*x**4 + b*d - d*x + x**5)), x)","F",0
2693,0,0,0,0.000000," ","integrate(x**6*(x**4-x)**(1/2)/(a*x**6+b),x)","\int \frac{x^{6} \sqrt{x \left(x - 1\right) \left(x^{2} + x + 1\right)}}{a x^{6} + b}\, dx"," ",0,"Integral(x**6*sqrt(x*(x - 1)*(x**2 + x + 1))/(a*x**6 + b), x)","F",0
2694,0,0,0,0.000000," ","integrate((a**6*x**6+b**6)/(a**2*x**3-b**2*x)**(1/2)/(a**6*x**6-b**6),x)","\int \frac{\left(a^{2} x^{2} + b^{2}\right) \left(a^{4} x^{4} - a^{2} b^{2} x^{2} + b^{4}\right)}{\sqrt{x \left(a x - b\right) \left(a x + b\right)} \left(a x - b\right) \left(a x + b\right) \left(a^{2} x^{2} - a b x + b^{2}\right) \left(a^{2} x^{2} + a b x + b^{2}\right)}\, dx"," ",0,"Integral((a**2*x**2 + b**2)*(a**4*x**4 - a**2*b**2*x**2 + b**4)/(sqrt(x*(a*x - b)*(a*x + b))*(a*x - b)*(a*x + b)*(a**2*x**2 - a*b*x + b**2)*(a**2*x**2 + a*b*x + b**2)), x)","F",0
2695,-1,0,0,0.000000," ","integrate((a**2*b-2*a**2*x+(2*a-b)*x**2)/(x*(-a+x)*(-b+x))**(2/3)/(a**2+(b*d-2*a)*x+(1-d)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2696,0,0,0,0.000000," ","integrate((a**6*x**6+b**6)/(a**2*x**3+b**2*x)**(1/2)/(a**6*x**6-b**6),x)","\int \frac{\left(a^{2} x^{2} + b^{2}\right) \left(a^{4} x^{4} - a^{2} b^{2} x^{2} + b^{4}\right)}{\sqrt{x \left(a^{2} x^{2} + b^{2}\right)} \left(a x - b\right) \left(a x + b\right) \left(a^{2} x^{2} - a b x + b^{2}\right) \left(a^{2} x^{2} + a b x + b^{2}\right)}\, dx"," ",0,"Integral((a**2*x**2 + b**2)*(a**4*x**4 - a**2*b**2*x**2 + b**4)/(sqrt(x*(a**2*x**2 + b**2))*(a*x - b)*(a*x + b)*(a**2*x**2 - a*b*x + b**2)*(a**2*x**2 + a*b*x + b**2)), x)","F",0
2697,-1,0,0,0.000000," ","integrate((5*x**7+2)*(x**8-x**3-x)**(1/3)/(x**7-1)/(x**7+x**2-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2698,0,0,0,0.000000," ","integrate(x**6*(x**3-4)/(x**3-1)**(3/4)/(x**8+x**6-2*x**3+1),x)","\int \frac{x^{6} \left(x^{3} - 4\right)}{\left(\left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{3}{4}} \left(x^{8} + x^{6} - 2 x^{3} + 1\right)}\, dx"," ",0,"Integral(x**6*(x**3 - 4)/(((x - 1)*(x**2 + x + 1))**(3/4)*(x**8 + x**6 - 2*x**3 + 1)), x)","F",0
2699,0,0,0,0.000000," ","integrate(x**6*(x**5+4)/(x**5-1)**(3/4)/(x**10+x**8-2*x**5+1),x)","\int \frac{x^{6} \left(x^{5} + 4\right)}{\left(\left(x - 1\right) \left(x^{4} + x^{3} + x^{2} + x + 1\right)\right)^{\frac{3}{4}} \left(x^{10} + x^{8} - 2 x^{5} + 1\right)}\, dx"," ",0,"Integral(x**6*(x**5 + 4)/(((x - 1)*(x**4 + x**3 + x**2 + x + 1))**(3/4)*(x**10 + x**8 - 2*x**5 + 1)), x)","F",0
2700,-1,0,0,0.000000," ","integrate((a*x+b)**(1/2)*(f*x**2-g)/(d*x**2+e)/(c+(a*x+b)**(1/2))**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2701,0,0,0,0.000000," ","integrate((x**4+1)**(1/2)*(x**2+(x**4+1)**(1/2))**(1/2)/(x**2+1),x)","\int \frac{\sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{x^{4} + 1}}{x^{2} + 1}\, dx"," ",0,"Integral(sqrt(x**2 + sqrt(x**4 + 1))*sqrt(x**4 + 1)/(x**2 + 1), x)","F",0
2702,-1,0,0,0.000000," ","integrate(x/(x**2-(1+x)**(1/2)*(1+(1+x)**(1/2))**(1/2)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2703,-1,0,0,0.000000," ","integrate(x/(x**2-(1+x)**(1/2)*(1+(1+x)**(1/2))**(1/2)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2704,-1,0,0,0.000000," ","integrate((a*x+b)**(1/2)*(1+(a*x+b)**(1/2))**(1/2)/x**2/(1+(1+(a*x+b)**(1/2))**(1/2))**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2705,-1,0,0,0.000000," ","integrate((a*x+b)**(1/2)*(1+(a*x+b)**(1/2))**(1/2)/x**2/(1+(1+(a*x+b)**(1/2))**(1/2))**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2706,0,0,0,0.000000," ","integrate(x**4*(a*x**4+b*x**2)**(1/4)/(x**4+a*x**2+b),x)","\int \frac{x^{4} \sqrt[4]{x^{2} \left(a x^{2} + b\right)}}{a x^{2} + b + x^{4}}\, dx"," ",0,"Integral(x**4*(x**2*(a*x**2 + b))**(1/4)/(a*x**2 + b + x**4), x)","F",0
2707,0,0,0,0.000000," ","integrate(x**4*(a*x**4+b*x**2)**(1/4)/(x**4+a*x**2+b),x)","\int \frac{x^{4} \sqrt[4]{x^{2} \left(a x^{2} + b\right)}}{a x^{2} + b + x^{4}}\, dx"," ",0,"Integral(x**4*(x**2*(a*x**2 + b))**(1/4)/(a*x**2 + b + x**4), x)","F",0
2708,-1,0,0,0.000000," ","integrate((a*x+b)*(a*p*x**4+4*b*p*x**3-3*a*q)/(p*x**4+q)**(2/3)/(a**3*c*x**3+3*a**2*b*c*x**2+d*p*x**4+3*a*b**2*c*x+b**3*c+d*q),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2709,-1,0,0,0.000000," ","integrate((a**2*x**3+b**2)**(1/2)*(a**2*x**6+c*x**3+2*b**2)/x**7/(a**2*x**6+b**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2710,-1,0,0,0.000000," ","integrate((x**4-2)*(x**4+2)**(1/2)/(x**4+x**2+2)/(x**4+2*x**2+2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2711,-1,0,0,0.000000," ","integrate(x**2*(x**8-2)*(x**8-2*x**4+2)**(1/4)/(x**8+2)/(2*x**8-x**4+4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2712,0,0,0,0.000000," ","integrate((x**2-1)/(x**2+1)/(x+(1+x)**(1/2))**(1/2),x)","\int \frac{\left(x - 1\right) \left(x + 1\right)}{\sqrt{x + \sqrt{x + 1}} \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x - 1)*(x + 1)/(sqrt(x + sqrt(x + 1))*(x**2 + 1)), x)","F",0
2713,0,0,0,0.000000," ","integrate((x**2-1)/(x**2+1)/(x+(1+x)**(1/2))**(1/2),x)","\int \frac{\left(x - 1\right) \left(x + 1\right)}{\sqrt{x + \sqrt{x + 1}} \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x - 1)*(x + 1)/(sqrt(x + sqrt(x + 1))*(x**2 + 1)), x)","F",0
2714,0,0,0,0.000000," ","integrate(1/(a**2*x**2-b)**(1/2)/(a*x**2+x*(a**2*x**2-b)**(1/2))**(1/3),x)","\int \frac{1}{\sqrt[3]{x \left(a x + \sqrt{a^{2} x^{2} - b}\right)} \sqrt{a^{2} x^{2} - b}}\, dx"," ",0,"Integral(1/((x*(a*x + sqrt(a**2*x**2 - b)))**(1/3)*sqrt(a**2*x**2 - b)), x)","F",0
2715,0,0,0,0.000000," ","integrate((a*x-b)**(1/2)/(1+(a*x+(a*x-b)**(1/2))**(1/2)),x)","\int \frac{\sqrt{a x - b}}{\sqrt{a x + \sqrt{a x - b}} + 1}\, dx"," ",0,"Integral(sqrt(a*x - b)/(sqrt(a*x + sqrt(a*x - b)) + 1), x)","F",0
2716,0,0,0,0.000000," ","integrate(x*(1+2**(1/2)+2**(1/2)*x+x**2)**(1/2),x)","\int x \sqrt{x^{2} + \sqrt{2} x + 1 + \sqrt{2}}\, dx"," ",0,"Integral(x*sqrt(x**2 + sqrt(2)*x + 1 + sqrt(2)), x)","F",0
2717,-1,0,0,0.000000," ","integrate((-a*x+x**2)/(x**2*(-a+x))**(2/3)/(a**2-2*a*x+(1-d)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2718,0,0,0,0.000000," ","integrate(x/(x**2*(-a+x))**(1/3)/(-a**2+2*a*x+(-1+d)*x**2),x)","\int \frac{x}{\sqrt[3]{x^{2} \left(- a + x\right)} \left(- a^{2} + 2 a x + d x^{2} - x^{2}\right)}\, dx"," ",0,"Integral(x/((x**2*(-a + x))**(1/3)*(-a**2 + 2*a*x + d*x**2 - x**2)), x)","F",0
2719,-1,0,0,0.000000," ","integrate((-a*b*x**2+x**4)/(x**2*(-a+x)*(-b+x))**(2/3)/(a**2*b**2-2*a*b*(a+b)*x+(a**2+4*a*b+b**2-d)*x**2-2*(a+b)*x**3+x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2720,-1,0,0,0.000000," ","integrate(((a*x**10+4*a*x**8+x**8+6*a*x**6+4*x**6+4*a*x**4+6*x**4+a*x**2+4*x**2+1)/x**2)**(1/4)/x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2721,0,0,0,0.000000," ","integrate((8*x**2-8*x+2)**(1/3)/(3+x),x)","\sqrt[3]{2} \int \frac{\sqrt[3]{4 x^{2} - 4 x + 1}}{x + 3}\, dx"," ",0,"2**(1/3)*Integral((4*x**2 - 4*x + 1)**(1/3)/(x + 3), x)","F",0
2722,-1,0,0,0.000000," ","integrate((a*x+b)*(b*p*x**2-a*q)/(p*x**3+q)**(2/3)/(b**3*c+d*q+3*a*b**2*c*x+3*a**2*b*c*x**2+(a**3*c+d*p)*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2723,-1,0,0,0.000000," ","integrate((-b+x)*(-a*(a-2*b)-2*b*x+x**2)/((-a+x)*(-b+x))**(2/3)/(a**4-b**2*d-2*(2*a**3-b*d)*x+(6*a**2-d)*x**2-4*a*x**3+x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2724,-1,0,0,0.000000," ","integrate((x**5+1)**(1/2)*(x**5+2)/x**6/(a*x**10-x**5-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2725,-1,0,0,0.000000," ","integrate((x**5-2)*(x**5-1)**(1/2)/x**6/(a*x**10-x**5+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2726,0,0,0,0.000000," ","integrate(1/(x**2-(1+x)**(1/2)*(1+(1+x)**(1/2))**(1/2)),x)","\int \frac{1}{x^{2} - \sqrt{x + 1} \sqrt{\sqrt{x + 1} + 1}}\, dx"," ",0,"Integral(1/(x**2 - sqrt(x + 1)*sqrt(sqrt(x + 1) + 1)), x)","F",0
2727,0,0,0,0.000000," ","integrate(1/(x**2-(1+x)**(1/2)*(1+(1+x)**(1/2))**(1/2)),x)","\int \frac{1}{x^{2} - \sqrt{x + 1} \sqrt{\sqrt{x + 1} + 1}}\, dx"," ",0,"Integral(1/(x**2 - sqrt(x + 1)*sqrt(sqrt(x + 1) + 1)), x)","F",0
2728,-1,0,0,0.000000," ","integrate(x*(_C3*x**2-_C4)/((_C3*x**2+_C0*x+_C4)/(_C3*x**2+_C1*x+_C4))**(1/2)/(3*_C3*x**2+3*_C4+x)/(_C3**2*x**4+2*_C3*_C4*x**2+_C4**2-x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2729,0,0,0,0.000000," ","integrate(1/(a*x**4-b)**2/(a*x**4-b*x**2)**(1/4),x)","\int \frac{1}{\sqrt[4]{x^{2} \left(a x^{2} - b\right)} \left(a x^{4} - b\right)^{2}}\, dx"," ",0,"Integral(1/((x**2*(a*x**2 - b))**(1/4)*(a*x**4 - b)**2), x)","F",0
2730,0,0,0,0.000000," ","integrate(1/(a*x**4-b)**2/(a*x**4-b*x**2)**(1/4),x)","\int \frac{1}{\sqrt[4]{x^{2} \left(a x^{2} - b\right)} \left(a x^{4} - b\right)^{2}}\, dx"," ",0,"Integral(1/((x**2*(a*x**2 - b))**(1/4)*(a*x**4 - b)**2), x)","F",0
2731,-1,0,0,0.000000," ","integrate((p*x**3-2*q)*(a*p*x**3+b*x**2+a*q)*(p**2*x**6-2*p*q*x**4+2*p*q*x**3+q**2)**(1/2)/x**5/(c*p*x**3+d*x**2+c*q),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2732,-1,0,0,0.000000," ","integrate(-(-1+x)*x*(-1+2*x+(k**2-2*k)*x**2)/((1-x)*x*(-k*x+1))**(2/3)/(1-4*k*x+(6*k**2-b)*x**2+(-4*k**3+2*b)*x**3+(k**4-b)*x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2733,0,0,0,0.000000," ","integrate((p*x**3-2*q)*(p**2*x**6-2*p*q*x**4+2*p*q*x**3+q**2)**(1/2)*(b*x**8+a*(p*x**3+q)**4)/x**13,x)","\int \frac{\left(p x^{3} - 2 q\right) \sqrt{p^{2} x^{6} - 2 p q x^{4} + 2 p q x^{3} + q^{2}} \left(a p^{4} x^{12} + 4 a p^{3} q x^{9} + 6 a p^{2} q^{2} x^{6} + 4 a p q^{3} x^{3} + a q^{4} + b x^{8}\right)}{x^{13}}\, dx"," ",0,"Integral((p*x**3 - 2*q)*sqrt(p**2*x**6 - 2*p*q*x**4 + 2*p*q*x**3 + q**2)*(a*p**4*x**12 + 4*a*p**3*q*x**9 + 6*a*p**2*q**2*x**6 + 4*a*p*q**3*x**3 + a*q**4 + b*x**8)/x**13, x)","F",0
2734,-1,0,0,0.000000," ","integrate(x**2/(x**2-(1+x)**(1/2)*(1+(1+x)**(1/2))**(1/2)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2735,-1,0,0,0.000000," ","integrate(x**2/(x**2-(1+x)**(1/2)*(1+(1+x)**(1/2))**(1/2)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2736,0,0,0,0.000000," ","integrate(1/x/(x**4-4*x**3+6*x**2-4*x+1)**(1/5),x)","\int \frac{1}{x \sqrt[5]{\left(x - 1\right)^{4}}}\, dx"," ",0,"Integral(1/(x*((x - 1)**4)**(1/5)), x)","F",0
2737,0,0,0,0.000000," ","integrate((x**2-x+1)/(x**2-1)/(x**4+x**2)**(1/3),x)","\int \frac{x^{2} - x + 1}{\sqrt[3]{x^{2} \left(x^{2} + 1\right)} \left(x - 1\right) \left(x + 1\right)}\, dx"," ",0,"Integral((x**2 - x + 1)/((x**2*(x**2 + 1))**(1/3)*(x - 1)*(x + 1)), x)","F",0
2738,0,0,0,0.000000," ","integrate((x**2+x+1)/(x**2-1)/(x**4+x**2)**(1/3),x)","\int \frac{x^{2} + x + 1}{\sqrt[3]{x^{2} \left(x^{2} + 1\right)} \left(x - 1\right) \left(x + 1\right)}\, dx"," ",0,"Integral((x**2 + x + 1)/((x**2*(x**2 + 1))**(1/3)*(x - 1)*(x + 1)), x)","F",0
2739,0,0,0,0.000000," ","integrate((x**2-1)*(x**4+x**3-x**2-x+1)**(1/2)/x**2/(x**2+1),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \sqrt{x^{4} + x^{3} - x^{2} - x + 1}}{x^{2} \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x - 1)*(x + 1)*sqrt(x**4 + x**3 - x**2 - x + 1)/(x**2*(x**2 + 1)), x)","F",0
2740,0,0,0,0.000000," ","integrate((x**2-1)*(x**4+x**3-x**2-x+1)**(1/2)/x**2/(x**2+1),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \sqrt{x^{4} + x^{3} - x^{2} - x + 1}}{x^{2} \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x - 1)*(x + 1)*sqrt(x**4 + x**3 - x**2 - x + 1)/(x**2*(x**2 + 1)), x)","F",0
2741,0,0,0,0.000000," ","integrate((x**3-1)**(2/3)*(x**3+4)/x**6/(x**6-x**3-2),x)","\int \frac{\left(\left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{2}{3}} \left(x^{3} + 4\right)}{x^{6} \left(x + 1\right) \left(x^{3} - 2\right) \left(x^{2} - x + 1\right)}\, dx"," ",0,"Integral(((x - 1)*(x**2 + x + 1))**(2/3)*(x**3 + 4)/(x**6*(x + 1)*(x**3 - 2)*(x**2 - x + 1)), x)","F",0
2742,0,0,0,0.000000," ","integrate((c+(a*x+(a**2*x**2-b)**(1/2))**(1/4))**(1/3)/(a**2*x**2-b)**(1/2)/(a*x+(a**2*x**2-b)**(1/2))**(1/4),x)","\int \frac{\sqrt[3]{c + \sqrt[4]{a x + \sqrt{a^{2} x^{2} - b}}}}{\sqrt[4]{a x + \sqrt{a^{2} x^{2} - b}} \sqrt{a^{2} x^{2} - b}}\, dx"," ",0,"Integral((c + (a*x + sqrt(a**2*x**2 - b))**(1/4))**(1/3)/((a*x + sqrt(a**2*x**2 - b))**(1/4)*sqrt(a**2*x**2 - b)), x)","F",0
2743,0,0,0,0.000000," ","integrate((x**2+x)*(x**4+x**3)**(1/4)/(x**2+x-1),x)","\int \frac{x \sqrt[4]{x^{3} \left(x + 1\right)} \left(x + 1\right)}{x^{2} + x - 1}\, dx"," ",0,"Integral(x*(x**3*(x + 1))**(1/4)*(x + 1)/(x**2 + x - 1), x)","F",0
2744,0,0,0,0.000000," ","integrate((x**4+b)**2/(x**20+a*x**16+4*b*x**16+4*a*b*x**12+6*b**2*x**12+6*a*b**2*x**8+4*b**3*x**8+4*a*b**3*x**4+b**4*x**4+a*b**4)**(1/4),x)","\int \frac{\left(b + x^{4}\right)^{2}}{\sqrt[4]{\left(a + x^{4}\right) \left(b + x^{4}\right)^{4}}}\, dx"," ",0,"Integral((b + x**4)**2/((a + x**4)*(b + x**4)**4)**(1/4), x)","F",0
2745,0,0,0,0.000000," ","integrate((2*p*x**3-q)*(p**2*x**6+2*p*q*x**3-2*p*q*x**2+q**2)**(1/2)*(b*x**4+a*(p*x**3+q)**4)/x**7,x)","\int \frac{\left(2 p x^{3} - q\right) \sqrt{p^{2} x^{6} + 2 p q x^{3} - 2 p q x^{2} + q^{2}} \left(a p^{4} x^{12} + 4 a p^{3} q x^{9} + 6 a p^{2} q^{2} x^{6} + 4 a p q^{3} x^{3} + a q^{4} + b x^{4}\right)}{x^{7}}\, dx"," ",0,"Integral((2*p*x**3 - q)*sqrt(p**2*x**6 + 2*p*q*x**3 - 2*p*q*x**2 + q**2)*(a*p**4*x**12 + 4*a*p**3*q*x**9 + 6*a*p**2*q**2*x**6 + 4*a*p*q**3*x**3 + a*q**4 + b*x**4)/x**7, x)","F",0
2746,0,0,0,0.000000," ","integrate((1-(x-(x**2+1)**(1/2))**(1/2))/(x**4-2*x**2*(x**2+1)**(1/2)),x)","- \int \frac{\sqrt{x - \sqrt{x^{2} + 1}}}{x^{4} - 2 x^{2} \sqrt{x^{2} + 1}}\, dx - \int \left(- \frac{1}{x^{4} - 2 x^{2} \sqrt{x^{2} + 1}}\right)\, dx"," ",0,"-Integral(sqrt(x - sqrt(x**2 + 1))/(x**4 - 2*x**2*sqrt(x**2 + 1)), x) - Integral(-1/(x**4 - 2*x**2*sqrt(x**2 + 1)), x)","F",0
2747,0,0,0,0.000000," ","integrate(1/(a**2*x**2-b)**(1/2)/(c+(a*x+(a**2*x**2-b)**(1/2))**(1/4))**(1/6),x)","\int \frac{1}{\sqrt[6]{c + \sqrt[4]{a x + \sqrt{a^{2} x^{2} - b}}} \sqrt{a^{2} x^{2} - b}}\, dx"," ",0,"Integral(1/((c + (a*x + sqrt(a**2*x**2 - b))**(1/4))**(1/6)*sqrt(a**2*x**2 - b)), x)","F",0
2748,-1,0,0,0.000000," ","integrate(((-2*k**2+1)*x+k**2*x**3)/((-x**2+1)*(-k**2*x**2+1))**(1/3)/(-1+d+(-2*d*k**2+1)*x**2+d*k**4*x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2749,-1,0,0,0.000000," ","integrate(((-k**2+2)*x-2*x**3+k**2*x**5)/((-x**2+1)*(-k**2*x**2+1))**(2/3)/(1-d+(d*k**2-2)*x**2+x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2750,0,0,0,0.000000," ","integrate((x**4-1)*(x**4-x**2)**(1/4)/(x**4-x**2-1),x)","\int \frac{\sqrt[4]{x^{2} \left(x - 1\right) \left(x + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}{x^{4} - x^{2} - 1}\, dx"," ",0,"Integral((x**2*(x - 1)*(x + 1))**(1/4)*(x - 1)*(x + 1)*(x**2 + 1)/(x**4 - x**2 - 1), x)","F",0
2751,0,0,0,0.000000," ","integrate((1+(3-2*k)*x-(4+k)*x**2+3*k*x**3)/((1-x)*x*(-k*x+1))**(1/3)/(-b+(1+5*b)*x-(10*b+k)*x**2+10*b*x**3-5*b*x**4+b*x**5),x)","\int \frac{\left(x - 1\right) \left(3 k x^{2} + 2 k x - 4 x - 1\right)}{\sqrt[3]{x \left(x - 1\right) \left(k x - 1\right)} \left(b x^{5} - 5 b x^{4} + 10 b x^{3} - 10 b x^{2} + 5 b x - b - k x^{2} + x\right)}\, dx"," ",0,"Integral((x - 1)*(3*k*x**2 + 2*k*x - 4*x - 1)/((x*(x - 1)*(k*x - 1))**(1/3)*(b*x**5 - 5*b*x**4 + 10*b*x**3 - 10*b*x**2 + 5*b*x - b - k*x**2 + x)), x)","F",0
2752,0,0,0,0.000000," ","integrate(x**3/(x**3-x**2)**(1/3)/(x**6-1),x)","\int \frac{x^{3}}{\sqrt[3]{x^{2} \left(x - 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)}\, dx"," ",0,"Integral(x**3/((x**2*(x - 1))**(1/3)*(x - 1)*(x + 1)*(x**2 - x + 1)*(x**2 + x + 1)), x)","F",0
2753,0,0,0,0.000000," ","integrate((x+(x**2+1)**(1/2))**(1/2)*(1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(-x**2+1),x)","- \int \frac{\sqrt{x + \sqrt{x^{2} + 1}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{x^{2} - 1}\, dx"," ",0,"-Integral(sqrt(x + sqrt(x**2 + 1))*sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/(x**2 - 1), x)","F",0
2754,0,0,0,0.000000," ","integrate((x+(x**2+1)**(1/2))**(1/2)*(1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(-x**2+1),x)","- \int \frac{\sqrt{x + \sqrt{x^{2} + 1}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{x^{2} - 1}\, dx"," ",0,"-Integral(sqrt(x + sqrt(x**2 + 1))*sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/(x**2 - 1), x)","F",0
2755,0,0,0,0.000000," ","integrate(1/(a**2*x**2-b)**(1/2)/(a*x+(a**2*x**2-b)**(1/2))**(1/4)/(c+(a*x+(a**2*x**2-b)**(1/2))**(1/4))**(1/3),x)","\int \frac{1}{\sqrt[3]{c + \sqrt[4]{a x + \sqrt{a^{2} x^{2} - b}}} \sqrt[4]{a x + \sqrt{a^{2} x^{2} - b}} \sqrt{a^{2} x^{2} - b}}\, dx"," ",0,"Integral(1/((c + (a*x + sqrt(a**2*x**2 - b))**(1/4))**(1/3)*(a*x + sqrt(a**2*x**2 - b))**(1/4)*sqrt(a**2*x**2 - b)), x)","F",0
2756,-1,0,0,0.000000," ","integrate((-b+x)*(a*b-2*b*x+x**2)/(x*(-a+x)*(-b+x)**2)**(2/3)/(b-(a*d+1)*x+d*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2757,0,0,0,0.000000," ","integrate((a-5*b+4*x)*(-a**3+3*a**2*x-3*a*x**2+x**3)/((-a+x)*(-b+x))**(2/3)/(-a**5+b*d-(-5*a**4+d)*x-10*a**3*x**2+10*a**2*x**3-5*a*x**4+x**5),x)","\int \frac{\left(- a + x\right)^{3} \left(a - 5 b + 4 x\right)}{\left(\left(- a + x\right) \left(- b + x\right)\right)^{\frac{2}{3}} \left(- a^{5} + 5 a^{4} x - 10 a^{3} x^{2} + 10 a^{2} x^{3} - 5 a x^{4} + b d - d x + x^{5}\right)}\, dx"," ",0,"Integral((-a + x)**3*(a - 5*b + 4*x)/(((-a + x)*(-b + x))**(2/3)*(-a**5 + 5*a**4*x - 10*a**3*x**2 + 10*a**2*x**3 - 5*a*x**4 + b*d - d*x + x**5)), x)","F",0
2758,0,0,0,0.000000," ","integrate((1-x**3*(5+4*x)**(1/3)-x**3*(5+4*x)**(2/3))/(1-x*(5+4*x)**(1/2)),x)","\int \frac{x^{3} \left(4 x + 5\right)^{\frac{2}{3}} + x^{3} \sqrt[3]{4 x + 5} - 1}{x \sqrt{4 x + 5} - 1}\, dx"," ",0,"Integral((x**3*(4*x + 5)**(2/3) + x**3*(4*x + 5)**(1/3) - 1)/(x*sqrt(4*x + 5) - 1), x)","F",0
2759,-1,0,0,0.000000," ","integrate(x**3*(_C3*x**3-2*_C4)*((_C3*x**3+_C0*x**2+_C4)/(_C3*x**3+_C1*x**2+_C4))**(1/2)/(2*_C3*x**3+x**2+2*_C4)/(_C3**2*x**6+2*_C3*_C4*x**3-x**4+_C4**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2760,-1,0,0,0.000000," ","integrate(x**5*(2*_C3*x**5-3*_C4)*((_C3*x**5+_C0*x**3+_C4)/(_C3*x**5+_C1*x**3+_C4))**(1/2)/(2*_C3*x**5+x**3+2*_C4)/(_C3**2*x**10+2*_C3*_C4*x**5-x**6+_C4**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2761,-1,0,0,0.000000," ","integrate((x**2-1)**2*(x**3+x)/(x**4+1)**(1/2)/(x**8-2*x**6+4*x**4-2*x**2+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2762,0,0,0,0.000000," ","integrate((2*x**2+x-1)*(x**4-x**3)**(1/4)/(x**2-x-1),x)","\int \frac{\sqrt[4]{x^{3} \left(x - 1\right)} \left(x + 1\right) \left(2 x - 1\right)}{x^{2} - x - 1}\, dx"," ",0,"Integral((x**3*(x - 1))**(1/4)*(x + 1)*(2*x - 1)/(x**2 - x - 1), x)","F",0
2763,0,0,0,0.000000," ","integrate((x**6+2)*(x**6+x**4-1)/(x**6-1)**(1/4)/(x**12+x**8-2*x**6+1),x)","\int \frac{\left(x^{6} + 2\right) \left(x^{6} + x^{4} - 1\right)}{\sqrt[4]{\left(x - 1\right) \left(x + 1\right) \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)} \left(x^{12} + x^{8} - 2 x^{6} + 1\right)}\, dx"," ",0,"Integral((x**6 + 2)*(x**6 + x**4 - 1)/(((x - 1)*(x + 1)*(x**2 - x + 1)*(x**2 + x + 1))**(1/4)*(x**12 + x**8 - 2*x**6 + 1)), x)","F",0
2764,0,0,0,0.000000," ","integrate(1/(c*x+d)**2/(a*x+(a**2*x**2+b**2)**(1/2))**(1/2),x)","\int \frac{1}{\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} \left(c x + d\right)^{2}}\, dx"," ",0,"Integral(1/(sqrt(a*x + sqrt(a**2*x**2 + b**2))*(c*x + d)**2), x)","F",0
2765,0,0,0,0.000000," ","integrate((x**2+1)**2/(x**2-1)**2/(x**2+(x**4+1)**(1/2))**(1/2),x)","\int \frac{\left(x^{2} + 1\right)^{2}}{\left(x - 1\right)^{2} \left(x + 1\right)^{2} \sqrt{x^{2} + \sqrt{x^{4} + 1}}}\, dx"," ",0,"Integral((x**2 + 1)**2/((x - 1)**2*(x + 1)**2*sqrt(x**2 + sqrt(x**4 + 1))), x)","F",0
2766,-1,0,0,0.000000," ","integrate((a*(a*b+a*c-2*b*c)-2*(a**2-b*c)*x+(2*a-b-c)*x**2)/((-a+x)*(-b+x)*(-c+x))**(2/3)/(a**2-b*c*d+(b*d+c*d-2*a)*x+(1-d)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2767,0,0,0,0.000000," ","integrate((x**4+1)/(x**4-1)/(a*x**4+b*x**3+c*x**2+b*x+a)**(1/2),x)","\int \frac{x^{4} + 1}{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \sqrt{a x^{4} + a + b x^{3} + b x + c x^{2}}}\, dx"," ",0,"Integral((x**4 + 1)/((x - 1)*(x + 1)*(x**2 + 1)*sqrt(a*x**4 + a + b*x**3 + b*x + c*x**2)), x)","F",0
2768,0,0,0,0.000000," ","integrate((x**2-1)**2/(x**2+1)**2/(x**2+(x**4+1)**(1/2))**(1/2),x)","\int \frac{\left(x - 1\right)^{2} \left(x + 1\right)^{2}}{\left(x^{2} + 1\right)^{2} \sqrt{x^{2} + \sqrt{x^{4} + 1}}}\, dx"," ",0,"Integral((x - 1)**2*(x + 1)**2/((x**2 + 1)**2*sqrt(x**2 + sqrt(x**4 + 1))), x)","F",0
2769,-1,0,0,0.000000," ","integrate((2*a*b**2-b*(2*a+b)*x+x**3)/(x*(-a+x)*(-b+x)**2)**(1/3)/(-a*b**2+b*(2*a+b)*x-(a+2*b+d)*x**2+x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2770,1,80,0,3.107307," ","integrate((c*x-d)/x/(a*x**3-b)**(1/3),x)","\frac{c x e^{- \frac{i \pi}{3}} \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {\frac{a x^{3}}{b}} \right)}}{3 \sqrt[3]{b} \Gamma\left(\frac{4}{3}\right)} + \frac{d \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {\frac{b e^{2 i \pi}}{a x^{3}}} \right)}}{3 \sqrt[3]{a} x \Gamma\left(\frac{4}{3}\right)}"," ",0,"c*x*exp(-I*pi/3)*gamma(1/3)*hyper((1/3, 1/3), (4/3,), a*x**3/b)/(3*b**(1/3)*gamma(4/3)) + d*gamma(1/3)*hyper((1/3, 1/3), (4/3,), b*exp_polar(2*I*pi)/(a*x**3))/(3*a**(1/3)*x*gamma(4/3))","C",0
2771,0,0,0,0.000000," ","integrate((a**4*x**4-b**4+c**2*x**2)/(a**4*x**4-b**4)**(1/2)/(a**4*x**4+b**4),x)","\int \frac{a^{4} x^{4} - b^{4} + c^{2} x^{2}}{\sqrt{\left(a x - b\right) \left(a x + b\right) \left(a^{2} x^{2} + b^{2}\right)} \left(a^{4} x^{4} + b^{4}\right)}\, dx"," ",0,"Integral((a**4*x**4 - b**4 + c**2*x**2)/(sqrt((a*x - b)*(a*x + b)*(a**2*x**2 + b**2))*(a**4*x**4 + b**4)), x)","F",0
2772,0,0,0,0.000000," ","integrate(x**2/(-x**4+1)/(a*x**4+b*x**3+c*x**2+b*x+a)**(1/2),x)","- \int \frac{x^{2}}{x^{4} \sqrt{a x^{4} + a + b x^{3} + b x + c x^{2}} - \sqrt{a x^{4} + a + b x^{3} + b x + c x^{2}}}\, dx"," ",0,"-Integral(x**2/(x**4*sqrt(a*x**4 + a + b*x**3 + b*x + c*x**2) - sqrt(a*x**4 + a + b*x**3 + b*x + c*x**2)), x)","F",0
2773,-1,0,0,0.000000," ","integrate(x*(-b+x)*(-a**2*b+2*a**2*x+(-2*a+b)*x**2)/(x*(-a+x)*(-b+x))**(2/3)/(-a**4+4*a**3*x+(b**2*d-6*a**2)*x**2+2*(-b*d+2*a)*x**3+(-1+d)*x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2774,-1,0,0,0.000000," ","integrate((x**3-1)**(2/3)*(x**6-8*x**3+8)/x**6/(x**3-4)/(x**3-2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2775,0,0,0,0.000000," ","integrate((c+(a*x+(a**2*x**2-b)**(1/2))**(3/4))**(4/3)/(a**2*x**2-b)**(1/2),x)","\int \frac{\left(c + \left(a x + \sqrt{a^{2} x^{2} - b}\right)^{\frac{3}{4}}\right)^{\frac{4}{3}}}{\sqrt{a^{2} x^{2} - b}}\, dx"," ",0,"Integral((c + (a*x + sqrt(a**2*x**2 - b))**(3/4))**(4/3)/sqrt(a**2*x**2 - b), x)","F",0
2776,0,0,0,0.000000," ","integrate(1/(a*x-b)/(a**3*x**3+b**3)**(1/3),x)","\int \frac{1}{\sqrt[3]{\left(a x + b\right) \left(a^{2} x^{2} - a b x + b^{2}\right)} \left(a x - b\right)}\, dx"," ",0,"Integral(1/(((a*x + b)*(a**2*x**2 - a*b*x + b**2))**(1/3)*(a*x - b)), x)","F",0
2777,0,0,0,0.000000," ","integrate((a*x**2+b*x*(-a/b**2+a**2*x**2/b**2)**(1/2))**(1/3)/(-a/b**2+a**2*x**2/b**2)**(1/2),x)","\int \frac{\sqrt[3]{x \left(a x + b \sqrt{\frac{a^{2} x^{2}}{b^{2}} - \frac{a}{b^{2}}}\right)}}{\sqrt{\frac{a \left(a x^{2} - 1\right)}{b^{2}}}}\, dx"," ",0,"Integral((x*(a*x + b*sqrt(a**2*x**2/b**2 - a/b**2)))**(1/3)/sqrt(a*(a*x**2 - 1)/b**2), x)","F",0
2778,0,0,0,0.000000," ","integrate((x**2+1)**(1/2)*(1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(-x**2+1),x)","- \int \frac{\sqrt{x^{2} + 1} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{x^{2} - 1}\, dx"," ",0,"-Integral(sqrt(x**2 + 1)*sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/(x**2 - 1), x)","F",0
2779,0,0,0,0.000000," ","integrate((x**2+1)**(1/2)*(1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(-x**2+1),x)","- \int \frac{\sqrt{x^{2} + 1} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{x^{2} - 1}\, dx"," ",0,"-Integral(sqrt(x**2 + 1)*sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/(x**2 - 1), x)","F",0
2780,0,0,0,0.000000," ","integrate((-b+x)/((-a+x)*(-b+x)**2)**(2/3)/(b-a*d+(-1+d)*x),x)","\int \frac{- b + x}{\left(\left(- a + x\right) \left(- b + x\right)^{2}\right)^{\frac{2}{3}} \left(- a d + b + d x - x\right)}\, dx"," ",0,"Integral((-b + x)/(((-a + x)*(-b + x)**2)**(2/3)*(-a*d + b + d*x - x)), x)","F",0
2781,-1,0,0,0.000000," ","integrate((b*p*x**3-a*q*x)/(p*x**4+q)**(1/2)/(b**2*c+d*q+2*a*b*c*x**2+(a**2*c+d*p)*x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2782,0,0,0,0.000000," ","integrate((a*x+b)**2*(a*p*x**3+3*b*p*x**2-2*a*q)/(p*x**3+q)**(1/2)/(b**4*c+d*q**2+4*a*b**3*c*x+6*a**2*b**2*c*x**2+(4*a**3*b*c+2*d*p*q)*x**3+a**4*c*x**4+d*p**2*x**6),x)","\int \frac{\left(a x + b\right)^{2} \left(a p x^{3} - 2 a q + 3 b p x^{2}\right)}{\sqrt{p x^{3} + q} \left(a^{4} c x^{4} + 4 a^{3} b c x^{3} + 6 a^{2} b^{2} c x^{2} + 4 a b^{3} c x + b^{4} c + d p^{2} x^{6} + 2 d p q x^{3} + d q^{2}\right)}\, dx"," ",0,"Integral((a*x + b)**2*(a*p*x**3 - 2*a*q + 3*b*p*x**2)/(sqrt(p*x**3 + q)*(a**4*c*x**4 + 4*a**3*b*c*x**3 + 6*a**2*b**2*c*x**2 + 4*a*b**3*c*x + b**4*c + d*p**2*x**6 + 2*d*p*q*x**3 + d*q**2)), x)","F",0
2783,0,0,0,0.000000," ","integrate((x**2+1)*(1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(-x**2+1)**2/(x+(x**2+1)**(1/2))**(1/2),x)","\int \frac{\left(x^{2} + 1\right) \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{\left(x - 1\right)^{2} \left(x + 1\right)^{2} \sqrt{x + \sqrt{x^{2} + 1}}}\, dx"," ",0,"Integral((x**2 + 1)*sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/((x - 1)**2*(x + 1)**2*sqrt(x + sqrt(x**2 + 1))), x)","F",0
2784,0,0,0,0.000000," ","integrate((x**2+1)*(1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(-x**2+1)**2/(x+(x**2+1)**(1/2))**(1/2),x)","\int \frac{\left(x^{2} + 1\right) \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{\left(x - 1\right)^{2} \left(x + 1\right)^{2} \sqrt{x + \sqrt{x^{2} + 1}}}\, dx"," ",0,"Integral((x**2 + 1)*sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/((x - 1)**2*(x + 1)**2*sqrt(x + sqrt(x**2 + 1))), x)","F",0
2785,-1,0,0,0.000000," ","integrate((k**4*x**4-1)/((1-x)*x*(-k**2*x+1))**(1/2)/(a*k**4*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2786,0,0,0,0.000000," ","integrate(x**5*(-4*a+3*x)/(x**2*(-a+x))**(1/3)/(d*x**8-a**2+2*a*x-x**2),x)","\int \frac{x^{5} \left(- 4 a + 3 x\right)}{\sqrt[3]{x^{2} \left(- a + x\right)} \left(- a^{2} + 2 a x + d x^{8} - x^{2}\right)}\, dx"," ",0,"Integral(x**5*(-4*a + 3*x)/((x**2*(-a + x))**(1/3)*(-a**2 + 2*a*x + d*x**8 - x**2)), x)","F",0
2787,1,162,0,5.164526," ","integrate(1/8*(1-x)**(1/2)/(1+x)**(7/2),x)","\frac{\begin{cases} \frac{\sqrt{-1 + \frac{2}{x + 1}}}{15} + \frac{\sqrt{-1 + \frac{2}{x + 1}}}{15 \left(x + 1\right)} - \frac{2 \sqrt{-1 + \frac{2}{x + 1}}}{5 \left(x + 1\right)^{2}} & \text{for}\: \frac{2}{\left|{x + 1}\right|} > 1 \\\frac{i \sqrt{1 - \frac{2}{x + 1}} \left(x + 1\right)^{2}}{- 30 x + 15 \left(x + 1\right)^{2} - 30} - \frac{i \sqrt{1 - \frac{2}{x + 1}} \left(x + 1\right)}{- 30 x + 15 \left(x + 1\right)^{2} - 30} - \frac{8 i \sqrt{1 - \frac{2}{x + 1}}}{- 30 x + 15 \left(x + 1\right)^{2} - 30} + \frac{12 i \sqrt{1 - \frac{2}{x + 1}}}{\left(x + 1\right) \left(- 30 x + 15 \left(x + 1\right)^{2} - 30\right)} & \text{otherwise} \end{cases}}{8}"," ",0,"Piecewise((sqrt(-1 + 2/(x + 1))/15 + sqrt(-1 + 2/(x + 1))/(15*(x + 1)) - 2*sqrt(-1 + 2/(x + 1))/(5*(x + 1)**2), 2/Abs(x + 1) > 1), (I*sqrt(1 - 2/(x + 1))*(x + 1)**2/(-30*x + 15*(x + 1)**2 - 30) - I*sqrt(1 - 2/(x + 1))*(x + 1)/(-30*x + 15*(x + 1)**2 - 30) - 8*I*sqrt(1 - 2/(x + 1))/(-30*x + 15*(x + 1)**2 - 30) + 12*I*sqrt(1 - 2/(x + 1))/((x + 1)*(-30*x + 15*(x + 1)**2 - 30)), True))/8","A",0
2788,-1,0,0,0.000000," ","integrate((2*a*b**2-b*(2*a+b)*x+x**3)/(x*(-a+x)*(-b+x)**2)**(1/3)/(-a*b**2*d+b*(2*a+b)*d*x-(a*d+2*b*d+1)*x**2+d*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2789,0,0,0,0.000000," ","integrate((x**2-x)*(x**4-x**3)**(1/4)/(x**2-x-1),x)","\int \frac{x \sqrt[4]{x^{3} \left(x - 1\right)} \left(x - 1\right)}{x^{2} - x - 1}\, dx"," ",0,"Integral(x*(x**3*(x - 1))**(1/4)*(x - 1)/(x**2 - x - 1), x)","F",0
2790,-1,0,0,0.000000," ","integrate((a*x+b)**(1/2)*(c+(a*x+b)**(1/2))**(1/2)/x/(d+(c+(a*x+b)**(1/2))**(1/2))**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2791,-1,0,0,0.000000," ","integrate((a*x+b)**(1/2)*(c+(a*x+b)**(1/2))**(1/2)/x/(d+(c+(a*x+b)**(1/2))**(1/2))**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2792,0,0,0,0.000000," ","integrate(1/(1+(a*x+(a**2*x**2-b)**(1/2))**(1/2))**(1/2),x)","\int \frac{1}{\sqrt{\sqrt{a x + \sqrt{a^{2} x^{2} - b}} + 1}}\, dx"," ",0,"Integral(1/sqrt(sqrt(a*x + sqrt(a**2*x**2 - b)) + 1), x)","F",0
2793,-1,0,0,0.000000," ","integrate((-1+x)*(k*x-1)*(-2*x+(1+k)*x**2)/((1-x)*x*(-k*x+1))**(2/3)/(b-2*b*(1+k)*x+(b*k**2+4*b*k+b)*x**2-2*b*k*(1+k)*x**3+(b*k**2-1)*x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2794,0,0,0,0.000000," ","integrate((-1+2*(-2+k)*x+3*k*x**2)*(x**3-3*x**2+3*x-1)/((1-x)*x*(-k*x+1))**(2/3)/(-b+(1+5*b)*x-(10*b+k)*x**2+10*b*x**3-5*b*x**4+b*x**5),x)","\int \frac{\left(x - 1\right)^{3} \left(3 k x^{2} + 2 k x - 4 x - 1\right)}{\left(x \left(x - 1\right) \left(k x - 1\right)\right)^{\frac{2}{3}} \left(b x^{5} - 5 b x^{4} + 10 b x^{3} - 10 b x^{2} + 5 b x - b - k x^{2} + x\right)}\, dx"," ",0,"Integral((x - 1)**3*(3*k*x**2 + 2*k*x - 4*x - 1)/((x*(x - 1)*(k*x - 1))**(2/3)*(b*x**5 - 5*b*x**4 + 10*b*x**3 - 10*b*x**2 + 5*b*x - b - k*x**2 + x)), x)","F",0
2795,-1,0,0,0.000000," ","integrate((a*x**4+2*b)**(1/4)*(a*x**8-4*b)/x**6/(a*x**8+c*x**4-4*b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2796,-1,0,0,0.000000," ","integrate((a*x**4+2*b)**(1/4)*(a*x**8-4*b)/x**6/(a*x**8+c*x**4-4*b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2797,-1,0,0,0.000000," ","integrate((a**12*x**12-b**12)/(a**4*x**4-b**4)**(1/2)/(a**12*x**12+b**12),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2798,0,0,0,0.000000," ","integrate(1/(1-(1+x)*(a*x**2+b*x+c)**(1/2)),x)","- \int \frac{1}{x \sqrt{a x^{2} + b x + c} + \sqrt{a x^{2} + b x + c} - 1}\, dx"," ",0,"-Integral(1/(x*sqrt(a*x**2 + b*x + c) + sqrt(a*x**2 + b*x + c) - 1), x)","F",0
2799,0,0,0,0.000000," ","integrate((-x**4+1)*(-x**9+x**8+4*x**7-4*x**6-6*x**5+6*x**4+4*x**3-4*x**2-x+1)**(1/4)/(x**4+1),x)","- \int \left(- \frac{\sqrt[4]{- x^{9} + x^{8} + 4 x^{7} - 4 x^{6} - 6 x^{5} + 6 x^{4} + 4 x^{3} - 4 x^{2} - x + 1}}{x^{4} + 1}\right)\, dx - \int \frac{x^{4} \sqrt[4]{- x^{9} + x^{8} + 4 x^{7} - 4 x^{6} - 6 x^{5} + 6 x^{4} + 4 x^{3} - 4 x^{2} - x + 1}}{x^{4} + 1}\, dx"," ",0,"-Integral(-(-x**9 + x**8 + 4*x**7 - 4*x**6 - 6*x**5 + 6*x**4 + 4*x**3 - 4*x**2 - x + 1)**(1/4)/(x**4 + 1), x) - Integral(x**4*(-x**9 + x**8 + 4*x**7 - 4*x**6 - 6*x**5 + 6*x**4 + 4*x**3 - 4*x**2 - x + 1)**(1/4)/(x**4 + 1), x)","F",0
2800,0,0,0,0.000000," ","integrate((-a*(a-5*b)-(3*a+5*b)*x+4*x**2)/((-a+x)*(-b+x))**(1/3)/(b-a**5*d-(-5*a**4*d+1)*x-10*a**3*d*x**2+10*a**2*d*x**3-5*a*d*x**4+d*x**5),x)","\int \frac{\left(- a + x\right) \left(a - 5 b + 4 x\right)}{\sqrt[3]{\left(- a + x\right) \left(- b + x\right)} \left(- a^{5} d + 5 a^{4} d x - 10 a^{3} d x^{2} + 10 a^{2} d x^{3} - 5 a d x^{4} + b + d x^{5} - x\right)}\, dx"," ",0,"Integral((-a + x)*(a - 5*b + 4*x)/(((-a + x)*(-b + x))**(1/3)*(-a**5*d + 5*a**4*d*x - 10*a**3*d*x**2 + 10*a**2*d*x**3 - 5*a*d*x**4 + b + d*x**5 - x)), x)","F",0
2801,0,0,0,0.000000," ","integrate((x**8+1)/(x**4-x**2)**(1/4)/(x**8-1),x)","\int \frac{x^{8} + 1}{\sqrt[4]{x^{2} \left(x - 1\right) \left(x + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \left(x^{4} + 1\right)}\, dx"," ",0,"Integral((x**8 + 1)/((x**2*(x - 1)*(x + 1))**(1/4)*(x - 1)*(x + 1)*(x**2 + 1)*(x**4 + 1)), x)","F",0
2802,0,0,0,0.000000," ","integrate((x**8+1)/(x**4-x**2)**(1/4)/(x**8-1),x)","\int \frac{x^{8} + 1}{\sqrt[4]{x^{2} \left(x - 1\right) \left(x + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \left(x^{4} + 1\right)}\, dx"," ",0,"Integral((x**8 + 1)/((x**2*(x - 1)*(x + 1))**(1/4)*(x - 1)*(x + 1)*(x**2 + 1)*(x**4 + 1)), x)","F",0
2803,-1,0,0,0.000000," ","integrate((a*b-(a+b)*x+x**2)/((-a+x)*(-b+x)**2)**(2/3)/(a**2-b**2*d-2*(-b*d+a)*x+(1-d)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2804,0,0,0,0.000000," ","integrate((x**2+(x**4+1)**(1/2))**(1/2)/(x**4-1)/(x**4+1)**(1/2),x)","\int \frac{\sqrt{x^{2} + \sqrt{x^{4} + 1}}}{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right) \sqrt{x^{4} + 1}}\, dx"," ",0,"Integral(sqrt(x**2 + sqrt(x**4 + 1))/((x - 1)*(x + 1)*(x**2 + 1)*sqrt(x**4 + 1)), x)","F",0
2805,0,0,0,0.000000," ","integrate((x**6-1)/(x**4-x**2)**(1/3)/(x**6+1),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)}{\sqrt[3]{x^{2} \left(x - 1\right) \left(x + 1\right)} \left(x^{2} + 1\right) \left(x^{4} - x^{2} + 1\right)}\, dx"," ",0,"Integral((x - 1)*(x + 1)*(x**2 - x + 1)*(x**2 + x + 1)/((x**2*(x - 1)*(x + 1))**(1/3)*(x**2 + 1)*(x**4 - x**2 + 1)), x)","F",0
2806,0,0,0,0.000000," ","integrate((x**2+(x**4+1)**(1/2))**(1/2)/(1+x),x)","\int \frac{\sqrt{x^{2} + \sqrt{x^{4} + 1}}}{x + 1}\, dx"," ",0,"Integral(sqrt(x**2 + sqrt(x**4 + 1))/(x + 1), x)","F",0
2807,0,0,0,0.000000," ","integrate((a*x**2+b)/(-a*x**2+b)/(a*x**5+b*x**3)**(1/4),x)","- \int \frac{b}{a x^{2} \sqrt[4]{a x^{5} + b x^{3}} - b \sqrt[4]{a x^{5} + b x^{3}}}\, dx - \int \frac{a x^{2}}{a x^{2} \sqrt[4]{a x^{5} + b x^{3}} - b \sqrt[4]{a x^{5} + b x^{3}}}\, dx"," ",0,"-Integral(b/(a*x**2*(a*x**5 + b*x**3)**(1/4) - b*(a*x**5 + b*x**3)**(1/4)), x) - Integral(a*x**2/(a*x**2*(a*x**5 + b*x**3)**(1/4) - b*(a*x**5 + b*x**3)**(1/4)), x)","F",0
2808,0,0,0,0.000000," ","integrate((x**3+4)*(x**4+x**3+1)/(x**3+1)**(1/4)/(x**8+x**6+2*x**3+1),x)","\int \frac{\left(x^{3} + 4\right) \left(x^{4} + x^{3} + 1\right)}{\sqrt[4]{\left(x + 1\right) \left(x^{2} - x + 1\right)} \left(x^{8} + x^{6} + 2 x^{3} + 1\right)}\, dx"," ",0,"Integral((x**3 + 4)*(x**4 + x**3 + 1)/(((x + 1)*(x**2 - x + 1))**(1/4)*(x**8 + x**6 + 2*x**3 + 1)), x)","F",0
2809,-1,0,0,0.000000," ","integrate(x**2*(1+x)**(1/2)/(x**2-(1+x)**(1/2)*(1+(1+x)**(1/2))**(1/2)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2810,-1,0,0,0.000000," ","integrate(x**2*(1+x)**(1/2)/(x**2-(1+x)**(1/2)*(1+(1+x)**(1/2))**(1/2)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2811,0,0,0,0.000000," ","integrate((x**4-a*x-b)*(a*x**4+b*x**3)**(1/4)/(a*x-b),x)","\int \frac{\sqrt[4]{x^{3} \left(a x + b\right)} \left(- a x - b + x^{4}\right)}{a x - b}\, dx"," ",0,"Integral((x**3*(a*x + b))**(1/4)*(-a*x - b + x**4)/(a*x - b), x)","F",0
2812,-1,0,0,0.000000," ","integrate((-4*a+b+3*x)*(-b**3+3*b**2*x-3*b*x**2+x**3)/((-a+x)*(-b+x)**2)**(2/3)/(a+b**4*d-(4*b**3*d+1)*x+6*b**2*d*x**2-4*b*d*x**3+d*x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2813,-1,0,0,0.000000," ","integrate(x**2*(-2+(1+k)*x)/((1-x)*x*(-k*x+1))**(1/3)/(1-(2+2*k)*x+(k**2+4*k+1)*x**2-(2*k**2+2*k)*x**3+(k**2-b)*x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2814,0,0,0,0.000000," ","integrate(1/(c+(a*x+(a**2*x**2+b**2)**(1/2))**(1/2)),x)","\int \frac{1}{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}}\, dx"," ",0,"Integral(1/(c + sqrt(a*x + sqrt(a**2*x**2 + b**2))), x)","F",0
2815,0,0,0,0.000000," ","integrate((-7+x)*(3*x**3-5*x**2+x+1)**(1/3)/(-5+x)/(-1+x)**3,x)","\int \frac{\sqrt[3]{\left(x - 1\right)^{2} \left(3 x + 1\right)} \left(x - 7\right)}{\left(x - 5\right) \left(x - 1\right)^{3}}\, dx"," ",0,"Integral(((x - 1)**2*(3*x + 1))**(1/3)*(x - 7)/((x - 5)*(x - 1)**3), x)","F",0
2816,0,0,0,0.000000," ","integrate((a**2*x**2+b**2)/(a**2*x**2-b**2)**3/(a*x**3-b*x**2)**(1/3),x)","\int \frac{a^{2} x^{2} + b^{2}}{\sqrt[3]{x^{2} \left(a x - b\right)} \left(a x - b\right)^{3} \left(a x + b\right)^{3}}\, dx"," ",0,"Integral((a**2*x**2 + b**2)/((x**2*(a*x - b))**(1/3)*(a*x - b)**3*(a*x + b)**3), x)","F",0
2817,0,0,0,0.000000," ","integrate((c*x+d)/(c*x-d)/(a*x+(a**2*x**2+b**2)**(1/2))**(1/2),x)","\int \frac{c x + d}{\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} \left(c x - d\right)}\, dx"," ",0,"Integral((c*x + d)/(sqrt(a*x + sqrt(a**2*x**2 + b**2))*(c*x - d)), x)","F",0
2818,0,0,0,0.000000," ","integrate((a*x**4-b*x**3)**(1/4)/(-2*c*x+x**2-d),x)","\int \frac{\sqrt[4]{x^{3} \left(a x - b\right)}}{- 2 c x - d + x^{2}}\, dx"," ",0,"Integral((x**3*(a*x - b))**(1/4)/(-2*c*x - d + x**2), x)","F",0
2819,0,0,0,0.000000," ","integrate((a*x**4-b*x**3)**(1/4)/(-2*c*x+x**2-d),x)","\int \frac{\sqrt[4]{x^{3} \left(a x - b\right)}}{- 2 c x - d + x^{2}}\, dx"," ",0,"Integral((x**3*(a*x - b))**(1/4)/(-2*c*x - d + x**2), x)","F",0
2820,-1,0,0,0.000000," ","integrate(x*(k*x-1)*(-1+(-1+2*k)*x)/((1-x)*x*(-k*x+1))**(1/3)/(-1+4*x+(-6+b)*x**2+(-2*b*k+4)*x**3+(b*k**2-1)*x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2821,0,0,0,0.000000," ","integrate((1+(-2+3*k)*x-(4*k**2+k)*x**2+3*k**2*x**3)/((1-x)*x*(-k*x+1))**(1/3)/(-b+(5*b*k+1)*x-(10*b*k**2+1)*x**2+10*b*k**3*x**3-5*b*k**4*x**4+b*k**5*x**5),x)","\int \frac{\left(k x - 1\right) \left(3 k x^{2} - 4 k x + 2 x - 1\right)}{\sqrt[3]{x \left(x - 1\right) \left(k x - 1\right)} \left(b k^{5} x^{5} - 5 b k^{4} x^{4} + 10 b k^{3} x^{3} - 10 b k^{2} x^{2} + 5 b k x - b - x^{2} + x\right)}\, dx"," ",0,"Integral((k*x - 1)*(3*k*x**2 - 4*k*x + 2*x - 1)/((x*(x - 1)*(k*x - 1))**(1/3)*(b*k**5*x**5 - 5*b*k**4*x**4 + 10*b*k**3*x**3 - 10*b*k**2*x**2 + 5*b*k*x - b - x**2 + x)), x)","F",0
2822,0,0,0,0.000000," ","integrate((c*x+d)**2/(a*x+(a**2*x**2+b**2)**(1/2))**(1/2),x)","\int \frac{\left(c x + d\right)^{2}}{\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}}\, dx"," ",0,"Integral((c*x + d)**2/sqrt(a*x + sqrt(a**2*x**2 + b**2)), x)","F",0
2823,0,0,0,0.000000," ","integrate((1-(-3*x**10+x**9-9*x**7+3*x**6-9*x**4+3*x**3-3*x+1)**(1/3))/(x**2+(-3*x**10+x**9-9*x**7+3*x**6-9*x**4+3*x**3-3*x+1)**(1/3)),x)","- \int \frac{\sqrt[3]{- 3 x^{10} + x^{9} - 9 x^{7} + 3 x^{6} - 9 x^{4} + 3 x^{3} - 3 x + 1}}{x^{2} + \sqrt[3]{- 3 x^{10} + x^{9} - 9 x^{7} + 3 x^{6} - 9 x^{4} + 3 x^{3} - 3 x + 1}}\, dx - \int \left(- \frac{1}{x^{2} + \sqrt[3]{- 3 x^{10} + x^{9} - 9 x^{7} + 3 x^{6} - 9 x^{4} + 3 x^{3} - 3 x + 1}}\right)\, dx"," ",0,"-Integral((-3*x**10 + x**9 - 9*x**7 + 3*x**6 - 9*x**4 + 3*x**3 - 3*x + 1)**(1/3)/(x**2 + (-3*x**10 + x**9 - 9*x**7 + 3*x**6 - 9*x**4 + 3*x**3 - 3*x + 1)**(1/3)), x) - Integral(-1/(x**2 + (-3*x**10 + x**9 - 9*x**7 + 3*x**6 - 9*x**4 + 3*x**3 - 3*x + 1)**(1/3)), x)","F",0
2824,0,0,0,0.000000," ","integrate((-k*x+1)/(1+(-2+k)*x)/((1-x)*x*(-k*x+1))**(2/3),x)","- \int \frac{k x}{k x \left(k x^{3} - k x^{2} - x^{2} + x\right)^{\frac{2}{3}} - 2 x \left(k x^{3} - k x^{2} - x^{2} + x\right)^{\frac{2}{3}} + \left(k x^{3} - k x^{2} - x^{2} + x\right)^{\frac{2}{3}}}\, dx - \int \left(- \frac{1}{k x \left(k x^{3} - k x^{2} - x^{2} + x\right)^{\frac{2}{3}} - 2 x \left(k x^{3} - k x^{2} - x^{2} + x\right)^{\frac{2}{3}} + \left(k x^{3} - k x^{2} - x^{2} + x\right)^{\frac{2}{3}}}\right)\, dx"," ",0,"-Integral(k*x/(k*x*(k*x**3 - k*x**2 - x**2 + x)**(2/3) - 2*x*(k*x**3 - k*x**2 - x**2 + x)**(2/3) + (k*x**3 - k*x**2 - x**2 + x)**(2/3)), x) - Integral(-1/(k*x*(k*x**3 - k*x**2 - x**2 + x)**(2/3) - 2*x*(k*x**3 - k*x**2 - x**2 + x)**(2/3) + (k*x**3 - k*x**2 - x**2 + x)**(2/3)), x)","F",0
2825,0,0,0,0.000000," ","integrate((x**3+x**2+1)/(x**3+x**2-1)/(x**3+x**2)**(1/3),x)","\int \frac{x^{3} + x^{2} + 1}{\sqrt[3]{x^{2} \left(x + 1\right)} \left(x^{3} + x^{2} - 1\right)}\, dx"," ",0,"Integral((x**3 + x**2 + 1)/((x**2*(x + 1))**(1/3)*(x**3 + x**2 - 1)), x)","F",0
2826,0,0,0,0.000000," ","integrate((x**3+x**2+1)/(x**3+x**2-1)/(x**3+x**2)**(1/3),x)","\int \frac{x^{3} + x^{2} + 1}{\sqrt[3]{x^{2} \left(x + 1\right)} \left(x^{3} + x^{2} - 1\right)}\, dx"," ",0,"Integral((x**3 + x**2 + 1)/((x**2*(x + 1))**(1/3)*(x**3 + x**2 - 1)), x)","F",0
2827,0,0,0,0.000000," ","integrate((a*x+(a*x-b)**(1/2))**(1/2)/x/(a*x-b)**(1/2),x)","\int \frac{\sqrt{a x + \sqrt{a x - b}}}{x \sqrt{a x - b}}\, dx"," ",0,"Integral(sqrt(a*x + sqrt(a*x - b))/(x*sqrt(a*x - b)), x)","F",0
2828,0,0,0,0.000000," ","integrate((a*x+(a**2*x**2+b)**(1/2))**(1/2)*(c+(a*x+(a**2*x**2+b)**(1/2))**(1/2))**(1/2),x)","\int \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}} \sqrt{a x + \sqrt{a^{2} x^{2} + b}}\, dx"," ",0,"Integral(sqrt(c + sqrt(a*x + sqrt(a**2*x**2 + b)))*sqrt(a*x + sqrt(a**2*x**2 + b)), x)","F",0
2829,0,0,0,0.000000," ","integrate(x**4*(a**2*x**4+b)**(1/2)*(a*x**2+(a**2*x**4+b)**(1/2))**(1/2),x)","\int x^{4} \sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}} \sqrt{a^{2} x^{4} + b}\, dx"," ",0,"Integral(x**4*sqrt(a*x**2 + sqrt(a**2*x**4 + b))*sqrt(a**2*x**4 + b), x)","F",0
2830,0,0,0,0.000000," ","integrate((c+(a*x+(a**2*x**2+b)**(1/2))**(1/2))**(1/2)/(a**2*x**2+b)**(3/2)/(a*x+(a**2*x**2+b)**(1/2))**(1/2),x)","\int \frac{\sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}}}{\sqrt{a x + \sqrt{a^{2} x^{2} + b}} \left(a^{2} x^{2} + b\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sqrt(c + sqrt(a*x + sqrt(a**2*x**2 + b)))/(sqrt(a*x + sqrt(a**2*x**2 + b))*(a**2*x**2 + b)**(3/2)), x)","F",0
2831,0,0,0,0.000000," ","integrate((c+(a*x+(a**2*x**2+b)**(1/2))**(1/2))**(1/2)/(a**2*x**2+b)**(3/2)/(a*x+(a**2*x**2+b)**(1/2))**(1/2),x)","\int \frac{\sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}}}{\sqrt{a x + \sqrt{a^{2} x^{2} + b}} \left(a^{2} x^{2} + b\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sqrt(c + sqrt(a*x + sqrt(a**2*x**2 + b)))/(sqrt(a*x + sqrt(a**2*x**2 + b))*(a**2*x**2 + b)**(3/2)), x)","F",0
2832,0,0,0,0.000000," ","integrate(x**2/(a*x**2+b)/(x**3+x)**(1/3),x)","\int \frac{x^{2}}{\sqrt[3]{x \left(x^{2} + 1\right)} \left(a x^{2} + b\right)}\, dx"," ",0,"Integral(x**2/((x*(x**2 + 1))**(1/3)*(a*x**2 + b)), x)","F",0
2833,0,0,0,0.000000," ","integrate((x**6+1)/(x**4+x**2)**(1/3)/(x**6-1),x)","\int \frac{\left(x^{2} + 1\right) \left(x^{4} - x^{2} + 1\right)}{\sqrt[3]{x^{2} \left(x^{2} + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)}\, dx"," ",0,"Integral((x**2 + 1)*(x**4 - x**2 + 1)/((x**2*(x**2 + 1))**(1/3)*(x - 1)*(x + 1)*(x**2 - x + 1)*(x**2 + x + 1)), x)","F",0
2834,-1,0,0,0.000000," ","integrate((3*x**4-2)**(1/2)*(3*x**4-1)/x**3/(3*x**8-3*x**4+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2835,0,0,0,0.000000," ","integrate(1/(a**2*x**2-b*x)**(5/2)/(a*x**2+x*(a**2*x**2-b*x)**(1/2))**(3/2),x)","\int \frac{1}{\left(x \left(a x + \sqrt{a^{2} x^{2} - b x}\right)\right)^{\frac{3}{2}} \left(x \left(a^{2} x - b\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(1/((x*(a*x + sqrt(a**2*x**2 - b*x)))**(3/2)*(x*(a**2*x - b))**(5/2)), x)","F",0
2836,-1,0,0,0.000000," ","integrate((a-2*b+x)*(-b+x)/((-a+x)*(-b+x))**(1/3)/(a**4-b**2*d-2*(2*a**3-b*d)*x+(6*a**2-d)*x**2-4*a*x**3+x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2837,-1,0,0,0.000000," ","integrate((-1+x)*x*(1+(-2+k)*x)/((1-x)*x*(-k*x+1))**(1/3)/(1-4*k*x+(6*k**2-b)*x**2+(-4*k**3+2*b)*x**3+(k**4-b)*x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2838,0,0,0,0.000000," ","integrate((x**3-1)**(2/3)*(x**6+4)/x**6/(x**6-4),x)","\int \frac{\left(\left(x - 1\right) \left(x^{2} + x + 1\right)\right)^{\frac{2}{3}} \left(x^{6} + 4\right)}{x^{6} \left(x^{3} - 2\right) \left(x^{3} + 2\right)}\, dx"," ",0,"Integral(((x - 1)*(x**2 + x + 1))**(2/3)*(x**6 + 4)/(x**6*(x**3 - 2)*(x**3 + 2)), x)","F",0
2839,0,0,0,0.000000," ","integrate((c+(a*x+(a**2*x**2-b)**(1/2))**(1/4))**(1/6)/(a**2*x**2-b)**(1/2),x)","\int \frac{\sqrt[6]{c + \sqrt[4]{a x + \sqrt{a^{2} x^{2} - b}}}}{\sqrt{a^{2} x^{2} - b}}\, dx"," ",0,"Integral((c + (a*x + sqrt(a**2*x**2 - b))**(1/4))**(1/6)/sqrt(a**2*x**2 - b), x)","F",0
2840,-1,0,0,0.000000," ","integrate((-b+x)*(a*b-2*b*x+x**2)/(x*(-a+x)*(-b+x)**2)**(2/3)/(b*d-(a+d)*x+x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2841,1,83,0,3.088700," ","integrate((c*x**4-d)/x/(a*x**3-b)**(1/3),x)","- \frac{c x^{4} e^{\frac{2 i \pi}{3}} \Gamma\left(\frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{4}{3} \\ \frac{7}{3} \end{matrix}\middle| {\frac{a x^{3}}{b}} \right)}}{3 \sqrt[3]{b} \Gamma\left(\frac{7}{3}\right)} + \frac{d \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {\frac{b e^{2 i \pi}}{a x^{3}}} \right)}}{3 \sqrt[3]{a} x \Gamma\left(\frac{4}{3}\right)}"," ",0,"-c*x**4*exp(2*I*pi/3)*gamma(4/3)*hyper((1/3, 4/3), (7/3,), a*x**3/b)/(3*b**(1/3)*gamma(7/3)) + d*gamma(1/3)*hyper((1/3, 1/3), (4/3,), b*exp_polar(2*I*pi)/(a*x**3))/(3*a**(1/3)*x*gamma(4/3))","C",0
2842,-1,0,0,0.000000," ","integrate((a*b-2*b*x+x**2)/(x*(-a+x)*(-b+x)**2)**(1/3)/(b-(a*d+1)*x+d*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2843,-1,0,0,0.000000," ","integrate((-a*b**2+(4*a-b)*b*x-3*a*x**2+x**3)/(x*(-a+x)*(-b+x)**2)**(1/3)/(-a**2+(b**2*d+2*a)*x-(2*b*d+1)*x**2+d*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2844,-1,0,0,0.000000," ","integrate((-4*a+b+3*x)*(-b**3+3*b**2*x-3*b*x**2+x**3)/((-a+x)*(-b+x)**2)**(2/3)/(b**4+a*d-(4*b**3+d)*x+6*b**2*x**2-4*b*x**3+x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2845,0,0,0,0.000000," ","integrate((a*x**4-b*x**3)**(1/4)/x/(c*x-d),x)","\int \frac{\sqrt[4]{x^{3} \left(a x - b\right)}}{x \left(c x - d\right)}\, dx"," ",0,"Integral((x**3*(a*x - b))**(1/4)/(x*(c*x - d)), x)","F",0
2846,-1,0,0,0.000000," ","integrate((-a+x)*(-b+x)*(-2*a*b*x+(a+b)*x**2)/(x*(-a+x)*(-b+x))**(2/3)/(a**2*b**2*d-2*a*b*(a+b)*d*x+(a**2+4*a*b+b**2)*d*x**2-2*(a+b)*d*x**3+(-1+d)*x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2847,0,0,0,0.000000," ","integrate((x**6+x**3+1)/(x**5+x**3)**(1/4)/(-x**6+1),x)","- \int \frac{x^{3}}{x^{6} \sqrt[4]{x^{5} + x^{3}} - \sqrt[4]{x^{5} + x^{3}}}\, dx - \int \frac{x^{6}}{x^{6} \sqrt[4]{x^{5} + x^{3}} - \sqrt[4]{x^{5} + x^{3}}}\, dx - \int \frac{1}{x^{6} \sqrt[4]{x^{5} + x^{3}} - \sqrt[4]{x^{5} + x^{3}}}\, dx"," ",0,"-Integral(x**3/(x**6*(x**5 + x**3)**(1/4) - (x**5 + x**3)**(1/4)), x) - Integral(x**6/(x**6*(x**5 + x**3)**(1/4) - (x**5 + x**3)**(1/4)), x) - Integral(1/(x**6*(x**5 + x**3)**(1/4) - (x**5 + x**3)**(1/4)), x)","F",0
2848,-1,0,0,0.000000," ","integrate((-a-b*x+(a*k**2+b)*x**2)/((1-x)*x*(-k**2*x+1))**(1/2)/(k**2*x**2-2*x+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2849,-1,0,0,0.000000," ","integrate((x**8-2*x**4+1)/(x**4-1)**(1/4)/(2*x**8-2*x**4+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2850,0,0,0,0.000000," ","integrate((c+(a*x+(a**2*x**2+b)**(1/2))**(1/2))**(1/2),x)","\int \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}}\, dx"," ",0,"Integral(sqrt(c + sqrt(a*x + sqrt(a**2*x**2 + b))), x)","F",0
2851,-1,0,0,0.000000," ","integrate(x**3/(x**2*(-a+x))**(1/3)/(-a**4+4*a**3*x-6*a**2*x**2+4*a*x**3+(-1+d)*x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2852,0,0,0,0.000000," ","integrate((c+(a*x**2+x*(a**2*x**2-b)**(1/2))**(1/2))**(1/2)/(a**2*x**2-b)**(1/2),x)","\int \frac{\sqrt{c + \sqrt{a x^{2} + x \sqrt{a^{2} x^{2} - b}}}}{\sqrt{a^{2} x^{2} - b}}\, dx"," ",0,"Integral(sqrt(c + sqrt(a*x**2 + x*sqrt(a**2*x**2 - b)))/sqrt(a**2*x**2 - b), x)","F",0
2853,-1,0,0,0.000000," ","integrate((-a*(a*b+a*c-2*b*c)+2*(a**2-b*c)*x+(-2*a+b+c)*x**2)/((-a+x)*(-b+x)*(-c+x))**(2/3)/(-b*c+a**2*d+(-2*a*d+b+c)*x+(-1+d)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2854,-1,0,0,0.000000," ","integrate(x**2*(-2*a*b+(a+b)*x)/(x*(-a+x)*(-b+x))**(1/3)/(-a**2*b**2+2*a*b*(a+b)*x-(a**2+4*a*b+b**2)*x**2+2*(a+b)*x**3+(-1+d)*x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2855,0,0,0,0.000000," ","integrate((x**6+1)/(x**5+x**3)**(1/4)/(-x**6+1),x)","- \int \frac{x^{6}}{x^{6} \sqrt[4]{x^{5} + x^{3}} - \sqrt[4]{x^{5} + x^{3}}}\, dx - \int \frac{1}{x^{6} \sqrt[4]{x^{5} + x^{3}} - \sqrt[4]{x^{5} + x^{3}}}\, dx"," ",0,"-Integral(x**6/(x**6*(x**5 + x**3)**(1/4) - (x**5 + x**3)**(1/4)), x) - Integral(1/(x**6*(x**5 + x**3)**(1/4) - (x**5 + x**3)**(1/4)), x)","F",0
2856,-1,0,0,0.000000," ","integrate((a**16*x**16+b**16)/(a**4*x**4-b**4)**(1/2)/(a**16*x**16-b**16),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2857,0,0,0,0.000000," ","integrate((a**3*x**3-b**2*x**2)**(1/3)/(a*x**2+b),x)","\int \frac{\sqrt[3]{x^{2} \left(a^{3} x - b^{2}\right)}}{a x^{2} + b}\, dx"," ",0,"Integral((x**2*(a**3*x - b**2))**(1/3)/(a*x**2 + b), x)","F",0
2858,0,0,0,0.000000," ","integrate((a**3*x**3-b**2*x**2)**(1/3)/(a*x**2+b),x)","\int \frac{\sqrt[3]{x^{2} \left(a^{3} x - b^{2}\right)}}{a x^{2} + b}\, dx"," ",0,"Integral((x**2*(a**3*x - b**2))**(1/3)/(a*x**2 + b), x)","F",0
2859,0,0,0,0.000000," ","integrate((a**8*x**8+b**8+x**4)/(a**4*x**4-b**4)**(1/2)/(a**8*x**8-b**8),x)","\int \frac{a^{8} x^{8} + b^{8} + x^{4}}{\sqrt{\left(a x - b\right) \left(a x + b\right) \left(a^{2} x^{2} + b^{2}\right)} \left(a x - b\right) \left(a x + b\right) \left(a^{2} x^{2} + b^{2}\right) \left(a^{4} x^{4} + b^{4}\right)}\, dx"," ",0,"Integral((a**8*x**8 + b**8 + x**4)/(sqrt((a*x - b)*(a*x + b)*(a**2*x**2 + b**2))*(a*x - b)*(a*x + b)*(a**2*x**2 + b**2)*(a**4*x**4 + b**4)), x)","F",0
2860,0,0,0,0.000000," ","integrate((a**3*x**3-b**2*x**2)**(1/3)/(a*x**2-b),x)","\int \frac{\sqrt[3]{x^{2} \left(a^{3} x - b^{2}\right)}}{a x^{2} - b}\, dx"," ",0,"Integral((x**2*(a**3*x - b**2))**(1/3)/(a*x**2 - b), x)","F",0
2861,0,0,0,0.000000," ","integrate((a**3*x**3-b**2*x**2)**(1/3)/(a*x**2-b),x)","\int \frac{\sqrt[3]{x^{2} \left(a^{3} x - b^{2}\right)}}{a x^{2} - b}\, dx"," ",0,"Integral((x**2*(a**3*x - b**2))**(1/3)/(a*x**2 - b), x)","F",0
2862,0,0,0,0.000000," ","integrate((-b+x)/((-a+x)*(-b+x)**2)**(2/3)/(a-b*d+(-1+d)*x),x)","\int \frac{- b + x}{\left(\left(- a + x\right) \left(- b + x\right)^{2}\right)^{\frac{2}{3}} \left(a - b d + d x - x\right)}\, dx"," ",0,"Integral((-b + x)/(((-a + x)*(-b + x)**2)**(2/3)*(a - b*d + d*x - x)), x)","F",0
2863,0,0,0,0.000000," ","integrate((x**2-b)**(1/2)*(x**4+c)*(x+(x**2-b)**(1/2))**(1/2)/x,x)","\int \frac{\sqrt{- b + x^{2}} \left(c + x^{4}\right) \sqrt{x + \sqrt{- b + x^{2}}}}{x}\, dx"," ",0,"Integral(sqrt(-b + x**2)*(c + x**4)*sqrt(x + sqrt(-b + x**2))/x, x)","F",0
2864,-1,0,0,0.000000," ","integrate(x**8/(a**4*x**4-b**4)**(1/2)/(a**16*x**16-b**16),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2865,0,0,0,0.000000," ","integrate(x**2/(a*x**2-b)/(x**3-x)**(1/3),x)","\int \frac{x^{2}}{\sqrt[3]{x \left(x - 1\right) \left(x + 1\right)} \left(a x^{2} - b\right)}\, dx"," ",0,"Integral(x**2/((x*(x - 1)*(x + 1))**(1/3)*(a*x**2 - b)), x)","F",0
2866,0,0,0,0.000000," ","integrate((x**4+1)*(x+(x**2+1)**(1/2))**(1/2)/(x**4-1),x)","\int \frac{\sqrt{x + \sqrt{x^{2} + 1}} \left(x^{4} + 1\right)}{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}\, dx"," ",0,"Integral(sqrt(x + sqrt(x**2 + 1))*(x**4 + 1)/((x - 1)*(x + 1)*(x**2 + 1)), x)","F",0
2867,-1,0,0,0.000000," ","integrate((-a+x)*(-b+x)/((-a+x)*(-b+x)**2)**(2/3)/(-b**2+a**2*d+2*(-a*d+b)*x+(-1+d)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2868,-1,0,0,0.000000," ","integrate((a*b-(a+b)*x+x**2)/((-a+x)*(-b+x)**2)**(2/3)/(-b**2+a**2*d+2*(-a*d+b)*x+(-1+d)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2869,-1,0,0,0.000000," ","integrate(x/(x**2-(a*x+b)**(1/2)*(c+(a*x+b)**(1/2))**(1/2)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2870,-1,0,0,0.000000," ","integrate(x/(x**2-(a*x+b)**(1/2)*(c+(a*x+b)**(1/2))**(1/2)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2871,-1,0,0,0.000000," ","integrate((a*b-2*b*x+x**2)/(x*(-a+x)*(-b+x)**2)**(1/3)/(b*d-(a+d)*x+x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2872,-1,0,0,0.000000," ","integrate((-a*b**2+(4*a-b)*b*x-3*a*x**2+x**3)/(x*(-a+x)*(-b+x)**2)**(1/3)/(-a**2*d+(2*a*d+b**2)*x-(2*b+d)*x**2+x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2873,1,82,0,3.403800," ","integrate((c*x**7-d)/x/(a*x**3-b)**(1/3),x)","\frac{c x^{7} e^{- \frac{i \pi}{3}} \Gamma\left(\frac{7}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{7}{3} \\ \frac{10}{3} \end{matrix}\middle| {\frac{a x^{3}}{b}} \right)}}{3 \sqrt[3]{b} \Gamma\left(\frac{10}{3}\right)} + \frac{d \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {\frac{b e^{2 i \pi}}{a x^{3}}} \right)}}{3 \sqrt[3]{a} x \Gamma\left(\frac{4}{3}\right)}"," ",0,"c*x**7*exp(-I*pi/3)*gamma(7/3)*hyper((1/3, 7/3), (10/3,), a*x**3/b)/(3*b**(1/3)*gamma(10/3)) + d*gamma(1/3)*hyper((1/3, 1/3), (4/3,), b*exp_polar(2*I*pi)/(a*x**3))/(3*a**(1/3)*x*gamma(4/3))","C",0
2874,0,0,0,0.000000," ","integrate((c+(a*x+b)**(1/2))**(1/2)/(x-(a*x+b)**(1/2)),x)","\int \frac{\sqrt{c + \sqrt{a x + b}}}{x - \sqrt{a x + b}}\, dx"," ",0,"Integral(sqrt(c + sqrt(a*x + b))/(x - sqrt(a*x + b)), x)","F",0
2875,0,0,0,0.000000," ","integrate((1+x)/(1+2*x)/(x**5+9*x**4+28*x**3+36*x**2+27*x+27)**(1/3),x)","\int \frac{x + 1}{\sqrt[3]{\left(x + 3\right)^{3} \left(x^{2} + 1\right)} \left(2 x + 1\right)}\, dx"," ",0,"Integral((x + 1)/(((x + 3)**3*(x**2 + 1))**(1/3)*(2*x + 1)), x)","F",0
2876,0,0,0,0.000000," ","integrate((a*x**3-b*x)/(2*a*x**3-b)/(a**3*x**3+b**2*x**2)**(1/3),x)","\int \frac{x \left(a x^{2} - b\right)}{\sqrt[3]{x^{2} \left(a^{3} x + b^{2}\right)} \left(2 a x^{3} - b\right)}\, dx"," ",0,"Integral(x*(a*x**2 - b)/((x**2*(a**3*x + b**2))**(1/3)*(2*a*x**3 - b)), x)","F",0
2877,0,0,0,0.000000," ","integrate((a*x**3-b*x)/(2*a*x**3-b)/(a**3*x**3+b**2*x**2)**(1/3),x)","\int \frac{x \left(a x^{2} - b\right)}{\sqrt[3]{x^{2} \left(a^{3} x + b^{2}\right)} \left(2 a x^{3} - b\right)}\, dx"," ",0,"Integral(x*(a*x**2 - b)/((x**2*(a**3*x + b**2))**(1/3)*(2*a*x**3 - b)), x)","F",0
2878,0,0,0,0.000000," ","integrate((a*x**3+b*x)/(2*a*x**3+b)/(a**3*x**3+b**2*x**2)**(1/3),x)","\int \frac{x \left(a x^{2} + b\right)}{\sqrt[3]{x^{2} \left(a^{3} x + b^{2}\right)} \left(2 a x^{3} + b\right)}\, dx"," ",0,"Integral(x*(a*x**2 + b)/((x**2*(a**3*x + b**2))**(1/3)*(2*a*x**3 + b)), x)","F",0
2879,-1,0,0,0.000000," ","integrate(x*(-b+x)*(a*b+(-2*a+b)*x)/(x*(-a+x)*(-b+x))**(1/3)/(-a**4+4*a**3*x+(b**2*d-6*a**2)*x**2+2*(-b*d+2*a)*x**3+(-1+d)*x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2880,-1,0,0,0.000000," ","integrate((-a*b-a*c+2*b*c+(2*a-b-c)*x)/((-a+x)*(-b+x)*(-c+x))**(1/3)/(-b*c+a**2*d+(-2*a*d+b+c)*x+(-1+d)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2881,-1,0,0,0.000000," ","integrate(x*(-a*b+x**2)/(x**2*(-a+x)*(-b+x))**(1/3)/(a**2*b**2-2*a*b*(a+b)*x+(a**2+4*a*b+b**2-d)*x**2-2*(a+b)*x**3+x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2882,0,0,0,0.000000," ","integrate((a**6*x**6-b**6)/(a**2*x**3-b**2*x)**(1/2)/(a**6*x**6+b**6),x)","\int \frac{\left(a x - b\right) \left(a x + b\right) \left(a^{2} x^{2} - a b x + b^{2}\right) \left(a^{2} x^{2} + a b x + b^{2}\right)}{\sqrt{x \left(a x - b\right) \left(a x + b\right)} \left(a^{2} x^{2} + b^{2}\right) \left(a^{4} x^{4} - a^{2} b^{2} x^{2} + b^{4}\right)}\, dx"," ",0,"Integral((a*x - b)*(a*x + b)*(a**2*x**2 - a*b*x + b**2)*(a**2*x**2 + a*b*x + b**2)/(sqrt(x*(a*x - b)*(a*x + b))*(a**2*x**2 + b**2)*(a**4*x**4 - a**2*b**2*x**2 + b**4)), x)","F",0
2883,0,0,0,0.000000," ","integrate((x**4+1)**(1/2)*(x**2+(x**4+1)**(1/2))**(1/2)/(x**4-1),x)","\int \frac{\sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{x^{4} + 1}}{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}\, dx"," ",0,"Integral(sqrt(x**2 + sqrt(x**4 + 1))*sqrt(x**4 + 1)/((x - 1)*(x + 1)*(x**2 + 1)), x)","F",0
2884,0,0,0,0.000000," ","integrate(x**4/(1-x*(x**2+1)**(1/2)*(x-(x**2+1)**(1/2))**(1/2)),x)","- \int \frac{x^{4}}{x \sqrt{x - \sqrt{x^{2} + 1}} \sqrt{x^{2} + 1} - 1}\, dx"," ",0,"-Integral(x**4/(x*sqrt(x - sqrt(x**2 + 1))*sqrt(x**2 + 1) - 1), x)","F",0
2885,0,0,0,0.000000," ","integrate((x**2+(x**4+1)**(1/2))**(1/2)/(1+x)**2/(x**4+1)**(1/2),x)","\int \frac{\sqrt{x^{2} + \sqrt{x^{4} + 1}}}{\left(x + 1\right)^{2} \sqrt{x^{4} + 1}}\, dx"," ",0,"Integral(sqrt(x**2 + sqrt(x**4 + 1))/((x + 1)**2*sqrt(x**4 + 1)), x)","F",0
2886,-1,0,0,0.000000," ","integrate((-b+x)*(a*b-2*b*x+x**2)/(x*(-a+x)*(-b+x)**2)**(1/3)/(-b**2*d+2*b*d*x-(-a**2+d)*x**2-2*a*x**3+x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2887,0,0,0,0.000000," ","integrate((a**8*x**8+b**8)/(a**4*x**4-b**4)**(1/2)/(a**8*x**8-b**8),x)","\int \frac{a^{8} x^{8} + b^{8}}{\sqrt{\left(a x - b\right) \left(a x + b\right) \left(a^{2} x^{2} + b^{2}\right)} \left(a x - b\right) \left(a x + b\right) \left(a^{2} x^{2} + b^{2}\right) \left(a^{4} x^{4} + b^{4}\right)}\, dx"," ",0,"Integral((a**8*x**8 + b**8)/(sqrt((a*x - b)*(a*x + b)*(a**2*x**2 + b**2))*(a*x - b)*(a*x + b)*(a**2*x**2 + b**2)*(a**4*x**4 + b**4)), x)","F",0
2888,0,0,0,0.000000," ","integrate(1/(x**2-1)**(1/2)/(x**(1/2)+(x**2-1)**(1/2))**2,x)","\int \frac{1}{\sqrt{\left(x - 1\right) \left(x + 1\right)} \left(\sqrt{x} + \sqrt{x^{2} - 1}\right)^{2}}\, dx"," ",0,"Integral(1/(sqrt((x - 1)*(x + 1))*(sqrt(x) + sqrt(x**2 - 1))**2), x)","F",0
2889,0,0,0,0.000000," ","integrate((a*x**2+b)/(c*x**2+d)/(x**3+x)**(1/3),x)","\int \frac{a x^{2} + b}{\sqrt[3]{x \left(x^{2} + 1\right)} \left(c x^{2} + d\right)}\, dx"," ",0,"Integral((a*x**2 + b)/((x*(x**2 + 1))**(1/3)*(c*x**2 + d)), x)","F",0
2890,-1,0,0,0.000000," ","integrate(x**3*(4*a*b-3*(a+b)*x+2*x**2)/(x**2*(-a+x)*(-b+x))**(2/3)/(-a*b+(a+b)*x-x**2+d*x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2891,0,0,0,0.000000," ","integrate((a*x**3+b*x)/(2*a*x**3+b)/(a**3*x**3+b**2*x**2)**(1/3),x)","\int \frac{x \left(a x^{2} + b\right)}{\sqrt[3]{x^{2} \left(a^{3} x + b^{2}\right)} \left(2 a x^{3} + b\right)}\, dx"," ",0,"Integral(x*(a*x**2 + b)/((x**2*(a**3*x + b**2))**(1/3)*(2*a*x**3 + b)), x)","F",0
2892,0,0,0,0.000000," ","integrate(1/((-1+2*x)**(1/2)*(4+3*x)+(1+x)*(-3+4*x)**(1/2)),x)","\int \frac{1}{\left(x + 1\right) \sqrt{4 x - 3} + \sqrt{2 x - 1} \left(3 x + 4\right)}\, dx"," ",0,"Integral(1/((x + 1)*sqrt(4*x - 3) + sqrt(2*x - 1)*(3*x + 4)), x)","F",0
2893,0,0,0,0.000000," ","integrate((e*x+f)/(g*x+h)/(d+(c+(a*x+b)**(1/2))**(1/2))**(1/2),x)","\int \frac{e x + f}{\sqrt{d + \sqrt{c + \sqrt{a x + b}}} \left(g x + h\right)}\, dx"," ",0,"Integral((e*x + f)/(sqrt(d + sqrt(c + sqrt(a*x + b)))*(g*x + h)), x)","F",0
2894,0,0,0,0.000000," ","integrate((x**2+1)**(3/2)*(x+(x**2+1)**(1/2))**(1/2)*(1+(x+(x**2+1)**(1/2))**(1/2))**(1/2),x)","\int \sqrt{x + \sqrt{x^{2} + 1}} \left(x^{2} + 1\right)^{\frac{3}{2}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}\, dx"," ",0,"Integral(sqrt(x + sqrt(x**2 + 1))*(x**2 + 1)**(3/2)*sqrt(sqrt(x + sqrt(x**2 + 1)) + 1), x)","F",0
2895,0,0,0,0.000000," ","integrate((a-5*b+4*x)*(-a**3+3*a**2*x-3*a*x**2+x**3)/((-a+x)*(-b+x))**(2/3)/(b-a**5*d-(-5*a**4*d+1)*x-10*a**3*d*x**2+10*a**2*d*x**3-5*a*d*x**4+d*x**5),x)","\int \frac{\left(- a + x\right)^{3} \left(a - 5 b + 4 x\right)}{\left(\left(- a + x\right) \left(- b + x\right)\right)^{\frac{2}{3}} \left(- a^{5} d + 5 a^{4} d x - 10 a^{3} d x^{2} + 10 a^{2} d x^{3} - 5 a d x^{4} + b + d x^{5} - x\right)}\, dx"," ",0,"Integral((-a + x)**3*(a - 5*b + 4*x)/(((-a + x)*(-b + x))**(2/3)*(-a**5*d + 5*a**4*d*x - 10*a**3*d*x**2 + 10*a**2*d*x**3 - 5*a*d*x**4 + b + d*x**5 - x)), x)","F",0
2896,0,0,0,0.000000," ","integrate((3*x**4-3*x**3+2*x**2-2*x+2)*(x**6-x**4-x**3-x)**(1/3)/(1+x)/(x**3-2*x**2+2*x-1)/(x**5-x**3-1),x)","\int \frac{\sqrt[3]{x \left(x^{5} - x^{3} - x^{2} - 1\right)} \left(3 x^{4} - 3 x^{3} + 2 x^{2} - 2 x + 2\right)}{\left(x - 1\right) \left(x + 1\right) \left(x^{2} - x + 1\right) \left(x^{5} - x^{3} - 1\right)}\, dx"," ",0,"Integral((x*(x**5 - x**3 - x**2 - 1))**(1/3)*(3*x**4 - 3*x**3 + 2*x**2 - 2*x + 2)/((x - 1)*(x + 1)*(x**2 - x + 1)*(x**5 - x**3 - 1)), x)","F",0
2897,0,0,0,0.000000," ","integrate(1/(a*x-b)/(a**3*x**3-b**2*x**2)**(1/3),x)","\int \frac{1}{\sqrt[3]{x^{2} \left(a^{3} x - b^{2}\right)} \left(a x - b\right)}\, dx"," ",0,"Integral(1/((x**2*(a**3*x - b**2))**(1/3)*(a*x - b)), x)","F",0
2898,-1,0,0,0.000000," ","integrate((-b+x)*(-4*a+b+3*x)/((-a+x)*(-b+x)**2)**(1/3)/(b**4+a*d-(4*b**3+d)*x+6*b**2*x**2-4*b*x**3+x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2899,0,0,0,0.000000," ","integrate(x**4/(a**4*x**4-b**4)**(1/2)/(a**8*x**8-b**8),x)","\int \frac{x^{4}}{\sqrt{\left(a x - b\right) \left(a x + b\right) \left(a^{2} x^{2} + b^{2}\right)} \left(a x - b\right) \left(a x + b\right) \left(a^{2} x^{2} + b^{2}\right) \left(a^{4} x^{4} + b^{4}\right)}\, dx"," ",0,"Integral(x**4/(sqrt((a*x - b)*(a*x + b)*(a**2*x**2 + b**2))*(a*x - b)*(a*x + b)*(a**2*x**2 + b**2)*(a**4*x**4 + b**4)), x)","F",0
2900,0,0,0,0.000000," ","integrate(1/(a**2*x**2-b)**(1/2)/(a*x+(a**2*x**2-b)**(1/2))**(1/2)/(c+(a*x+(a**2*x**2-b)**(1/2))**(1/4))**(1/3),x)","\int \frac{1}{\sqrt[3]{c + \sqrt[4]{a x + \sqrt{a^{2} x^{2} - b}}} \sqrt{a x + \sqrt{a^{2} x^{2} - b}} \sqrt{a^{2} x^{2} - b}}\, dx"," ",0,"Integral(1/((c + (a*x + sqrt(a**2*x**2 - b))**(1/4))**(1/3)*sqrt(a*x + sqrt(a**2*x**2 - b))*sqrt(a**2*x**2 - b)), x)","F",0
2901,0,0,0,0.000000," ","integrate((x**2+1)**2*(x**2+(x**4+1)**(1/2))**(1/2)/(x**4+1)**(1/2)/(x**4+x**2-1),x)","\int \frac{\left(x^{2} + 1\right)^{2} \sqrt{x^{2} + \sqrt{x^{4} + 1}}}{\sqrt{x^{4} + 1} \left(x^{4} + x^{2} - 1\right)}\, dx"," ",0,"Integral((x**2 + 1)**2*sqrt(x**2 + sqrt(x**4 + 1))/(sqrt(x**4 + 1)*(x**4 + x**2 - 1)), x)","F",0
2902,0,0,0,0.000000," ","integrate((x**2+1)**2*(x**2+(x**4+1)**(1/2))**(1/2)/(x**4+1)**(1/2)/(x**4+x**2-1),x)","\int \frac{\left(x^{2} + 1\right)^{2} \sqrt{x^{2} + \sqrt{x^{4} + 1}}}{\sqrt{x^{4} + 1} \left(x^{4} + x^{2} - 1\right)}\, dx"," ",0,"Integral((x**2 + 1)**2*sqrt(x**2 + sqrt(x**4 + 1))/(sqrt(x**4 + 1)*(x**4 + x**2 - 1)), x)","F",0
2903,0,0,0,0.000000," ","integrate(x**2*(a*x**4+b*x**3)**(1/4)/(a*x**4-b),x)","\int \frac{x^{2} \sqrt[4]{x^{3} \left(a x + b\right)}}{a x^{4} - b}\, dx"," ",0,"Integral(x**2*(x**3*(a*x + b))**(1/4)/(a*x**4 - b), x)","F",0
2904,0,0,0,0.000000," ","integrate(x**2*(a*x**4+b*x**3)**(1/4)/(a*x**4-b),x)","\int \frac{x^{2} \sqrt[4]{x^{3} \left(a x + b\right)}}{a x^{4} - b}\, dx"," ",0,"Integral(x**2*(x**3*(a*x + b))**(1/4)/(a*x**4 - b), x)","F",0
2905,0,0,0,0.000000," ","integrate((x**2+1)*(x+(x**2+1)**(1/2))**(1/2)*(1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(-x**2+1)**2,x)","\int \frac{\sqrt{x + \sqrt{x^{2} + 1}} \left(x^{2} + 1\right) \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{\left(x - 1\right)^{2} \left(x + 1\right)^{2}}\, dx"," ",0,"Integral(sqrt(x + sqrt(x**2 + 1))*(x**2 + 1)*sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/((x - 1)**2*(x + 1)**2), x)","F",0
2906,0,0,0,0.000000," ","integrate((x**2+1)*(x+(x**2+1)**(1/2))**(1/2)*(1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(-x**2+1)**2,x)","\int \frac{\sqrt{x + \sqrt{x^{2} + 1}} \left(x^{2} + 1\right) \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{\left(x - 1\right)^{2} \left(x + 1\right)^{2}}\, dx"," ",0,"Integral(sqrt(x + sqrt(x**2 + 1))*(x**2 + 1)*sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/((x - 1)**2*(x + 1)**2), x)","F",0
2907,0,0,0,0.000000," ","integrate(x**3*(-b+x)*(2*a*b-3*a*x+x**2)/(x**2*(-a+x)*(-b+x))**(1/3)/(-a**4+4*a**3*x-6*a**2*x**2+4*a*x**3+(b**2*d-1)*x**4-2*b*d*x**5+d*x**6),x)","\int \frac{x^{3} \left(- b + x\right) \left(2 a b - 3 a x + x^{2}\right)}{\sqrt[3]{x^{2} \left(- a + x\right) \left(- b + x\right)} \left(- a^{4} + 4 a^{3} x - 6 a^{2} x^{2} + 4 a x^{3} + b^{2} d x^{4} - 2 b d x^{5} + d x^{6} - x^{4}\right)}\, dx"," ",0,"Integral(x**3*(-b + x)*(2*a*b - 3*a*x + x**2)/((x**2*(-a + x)*(-b + x))**(1/3)*(-a**4 + 4*a**3*x - 6*a**2*x**2 + 4*a*x**3 + b**2*d*x**4 - 2*b*d*x**5 + d*x**6 - x**4)), x)","F",0
2908,-1,0,0,0.000000," ","integrate((x**3+1)**(2/3)*(x**6-1)/x**6/(2*x**6-2*x**3-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2909,0,0,0,0.000000," ","integrate((x**4+1)/(x**4-1)/(x+(x**2+1)**(1/2))**(1/2),x)","\int \frac{x^{4} + 1}{\left(x - 1\right) \left(x + 1\right) \sqrt{x + \sqrt{x^{2} + 1}} \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x**4 + 1)/((x - 1)*(x + 1)*sqrt(x + sqrt(x**2 + 1))*(x**2 + 1)), x)","F",0
2910,0,0,0,0.000000," ","integrate((2*a*x+b)*(a*x**4+b*x**3)**(1/4)/(a*x+x**2-b),x)","\int \frac{\sqrt[4]{x^{3} \left(a x + b\right)} \left(2 a x + b\right)}{a x - b + x^{2}}\, dx"," ",0,"Integral((x**3*(a*x + b))**(1/4)*(2*a*x + b)/(a*x - b + x**2), x)","F",0
2911,0,0,0,0.000000," ","integrate((2*a*x+b)*(a*x**4+b*x**3)**(1/4)/(a*x+x**2-b),x)","\int \frac{\sqrt[4]{x^{3} \left(a x + b\right)} \left(2 a x + b\right)}{a x - b + x^{2}}\, dx"," ",0,"Integral((x**3*(a*x + b))**(1/4)*(2*a*x + b)/(a*x - b + x**2), x)","F",0
2912,0,0,0,0.000000," ","integrate(x**3/(x**4-x**2)**(1/3)/(x**6+1),x)","\int \frac{x^{3}}{\sqrt[3]{x^{2} \left(x - 1\right) \left(x + 1\right)} \left(x^{2} + 1\right) \left(x^{4} - x^{2} + 1\right)}\, dx"," ",0,"Integral(x**3/((x**2*(x - 1)*(x + 1))**(1/3)*(x**2 + 1)*(x**4 - x**2 + 1)), x)","F",0
2913,0,0,0,0.000000," ","integrate(x**4*(a**2*x**2+b)**(1/2)/(x**2-(a*x-(a**2*x**2+b)**(1/2))**(1/2)),x)","\int \frac{x^{4} \sqrt{a^{2} x^{2} + b}}{x^{2} - \sqrt{a x - \sqrt{a^{2} x^{2} + b}}}\, dx"," ",0,"Integral(x**4*sqrt(a**2*x**2 + b)/(x**2 - sqrt(a*x - sqrt(a**2*x**2 + b))), x)","F",0
2914,0,0,0,0.000000," ","integrate((x**2-1)/((a*x+b)/(c*x+d))**(1/4),x)","\int \frac{\left(x - 1\right) \left(x + 1\right)}{\sqrt[4]{\frac{a x + b}{c x + d}}}\, dx"," ",0,"Integral((x - 1)*(x + 1)/((a*x + b)/(c*x + d))**(1/4), x)","F",0
2915,0,0,0,0.000000," ","integrate((a*x**4-b)/(a*x**4+b)**(1/2)/(a*x**4-c**2*x**2+b),x)","\int \frac{a x^{4} - b}{\sqrt{a x^{4} + b} \left(a x^{4} + b - c^{2} x^{2}\right)}\, dx"," ",0,"Integral((a*x**4 - b)/(sqrt(a*x**4 + b)*(a*x**4 + b - c**2*x**2)), x)","F",0
2916,0,0,0,0.000000," ","integrate((x**2+1)*(x**6+x**4-x**2-1)**(1/3)/x,x)","\int \frac{\sqrt[3]{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)^{2}} \left(x^{2} + 1\right)}{x}\, dx"," ",0,"Integral(((x - 1)*(x + 1)*(x**2 + 1)**2)**(1/3)*(x**2 + 1)/x, x)","F",0
2917,0,0,0,0.000000," ","integrate((-a/b**2+a**2*x**2/b**2)**(1/2)*(a*x**2+b*x*(-a/b**2+a**2*x**2/b**2)**(1/2))**(1/3),x)","\int \sqrt[3]{x \left(a x + b \sqrt{\frac{a^{2} x^{2}}{b^{2}} - \frac{a}{b^{2}}}\right)} \sqrt{\frac{a \left(a x^{2} - 1\right)}{b^{2}}}\, dx"," ",0,"Integral((x*(a*x + b*sqrt(a**2*x**2/b**2 - a/b**2)))**(1/3)*sqrt(a*(a*x**2 - 1)/b**2), x)","F",0
2918,0,0,0,0.000000," ","integrate((a*x**2-b)/(c*x**2-d)/(x**3-x)**(1/3),x)","\int \frac{a x^{2} - b}{\sqrt[3]{x \left(x - 1\right) \left(x + 1\right)} \left(c x^{2} - d\right)}\, dx"," ",0,"Integral((a*x**2 - b)/((x*(x - 1)*(x + 1))**(1/3)*(c*x**2 - d)), x)","F",0
2919,0,0,0,0.000000," ","integrate(1/(a*x+b)/(a**3*x**3-b**3)**(1/3),x)","\int \frac{1}{\sqrt[3]{\left(a x - b\right) \left(a^{2} x^{2} + a b x + b^{2}\right)} \left(a x + b\right)}\, dx"," ",0,"Integral(1/(((a*x - b)*(a**2*x**2 + a*b*x + b**2))**(1/3)*(a*x + b)), x)","F",0
2920,-1,0,0,0.000000," ","integrate((a**12*x**12-b**12)/(a**4*x**4+b**4)**(1/2)/(a**12*x**12+b**12),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2921,0,0,0,0.000000," ","integrate((a*x**2+b*x+c)**(5/2)/(b*x+c),x)","\int \frac{\left(a x^{2} + b x + c\right)^{\frac{5}{2}}}{b x + c}\, dx"," ",0,"Integral((a*x**2 + b*x + c)**(5/2)/(b*x + c), x)","F",0
2922,0,0,0,0.000000," ","integrate((x**4-a*x**2-b)*(a*x**4+b*x**2)**(1/4)/(a*x**4+b),x)","\int \frac{\sqrt[4]{x^{2} \left(a x^{2} + b\right)} \left(- a x^{2} - b + x^{4}\right)}{a x^{4} + b}\, dx"," ",0,"Integral((x**2*(a*x**2 + b))**(1/4)*(-a*x**2 - b + x**4)/(a*x**4 + b), x)","F",0
2923,0,0,0,0.000000," ","integrate((x**4-a*x**2-b)*(a*x**4+b*x**2)**(1/4)/(a*x**4+b),x)","\int \frac{\sqrt[4]{x^{2} \left(a x^{2} + b\right)} \left(- a x^{2} - b + x^{4}\right)}{a x^{4} + b}\, dx"," ",0,"Integral((x**2*(a*x**2 + b))**(1/4)*(-a*x**2 - b + x**4)/(a*x**4 + b), x)","F",0
2924,0,0,0,0.000000," ","integrate((1+x)**(1/2)*(x**2-1)/(x**2+1)/(x+(1+x)**(1/2))**(1/2),x)","\int \frac{\left(x - 1\right) \left(x + 1\right)^{\frac{3}{2}}}{\sqrt{x + \sqrt{x + 1}} \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x - 1)*(x + 1)**(3/2)/(sqrt(x + sqrt(x + 1))*(x**2 + 1)), x)","F",0
2925,0,0,0,0.000000," ","integrate((1+x)**(1/2)*(x**2-1)/(x**2+1)/(x+(1+x)**(1/2))**(1/2),x)","\int \frac{\left(x - 1\right) \left(x + 1\right)^{\frac{3}{2}}}{\sqrt{x + \sqrt{x + 1}} \left(x^{2} + 1\right)}\, dx"," ",0,"Integral((x - 1)*(x + 1)**(3/2)/(sqrt(x + sqrt(x + 1))*(x**2 + 1)), x)","F",0
2926,-1,0,0,0.000000," ","integrate((-x**2+(2*x**2+1)**(1/2)+(2*x**2+1)**(5/2))/(x**2-x*(2*x**2+1)**(3/2)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2927,0,0,0,0.000000," ","integrate((x**3-b)*(x**3+b)*(x**3-c)/(a*x**2+x**3)**(1/3),x)","\int \frac{\left(- b + x^{3}\right) \left(b + x^{3}\right) \left(- c + x^{3}\right)}{\sqrt[3]{x^{2} \left(a + x\right)}}\, dx"," ",0,"Integral((-b + x**3)*(b + x**3)*(-c + x**3)/(x**2*(a + x))**(1/3), x)","F",0
2928,-1,0,0,0.000000," ","integrate(x*(-a+x)*(-b+x)*(a*b-2*b*x+x**2)/(x*(-a+x)*(-b+x)**2)**(2/3)/(-b**2+2*b*x-(-a**2*d+1)*x**2-2*a*d*x**3+d*x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2929,0,0,0,0.000000," ","integrate((x**4-a*x**2-b)*(a*x**4-b*x**2)**(1/4)/(a*x**4+b),x)","\int \frac{\sqrt[4]{x^{2} \left(a x^{2} - b\right)} \left(- a x^{2} - b + x^{4}\right)}{a x^{4} + b}\, dx"," ",0,"Integral((x**2*(a*x**2 - b))**(1/4)*(-a*x**2 - b + x**4)/(a*x**4 + b), x)","F",0
2930,0,0,0,0.000000," ","integrate((x**4-a*x**2-b)*(a*x**4-b*x**2)**(1/4)/(a*x**4+b),x)","\int \frac{\sqrt[4]{x^{2} \left(a x^{2} - b\right)} \left(- a x^{2} - b + x^{4}\right)}{a x^{4} + b}\, dx"," ",0,"Integral((x**2*(a*x**2 - b))**(1/4)*(-a*x**2 - b + x**4)/(a*x**4 + b), x)","F",0
2931,0,0,0,0.000000," ","integrate((a**2*x**2+a*b*c-b**2*x)/(a*x**2+b*x+c)**(1/2)/(b*x**2+c),x)","\int \frac{a^{2} x^{2} + a b c - b^{2} x}{\left(b x^{2} + c\right) \sqrt{a x^{2} + b x + c}}\, dx"," ",0,"Integral((a**2*x**2 + a*b*c - b**2*x)/((b*x**2 + c)*sqrt(a*x**2 + b*x + c)), x)","F",0
2932,0,0,0,0.000000," ","integrate((x**4+a*x**2+b)*(a*x**4-b*x**2)**(1/4)/(a*x**4-b),x)","\int \frac{\sqrt[4]{x^{2} \left(a x^{2} - b\right)} \left(a x^{2} + b + x^{4}\right)}{a x^{4} - b}\, dx"," ",0,"Integral((x**2*(a*x**2 - b))**(1/4)*(a*x**2 + b + x**4)/(a*x**4 - b), x)","F",0
2933,0,0,0,0.000000," ","integrate((x**4+a*x**2+b)*(a*x**4-b*x**2)**(1/4)/(a*x**4-b),x)","\int \frac{\sqrt[4]{x^{2} \left(a x^{2} - b\right)} \left(a x^{2} + b + x^{4}\right)}{a x^{4} - b}\, dx"," ",0,"Integral((x**2*(a*x**2 - b))**(1/4)*(a*x**2 + b + x**4)/(a*x**4 - b), x)","F",0
2934,-1,0,0,0.000000," ","integrate((-1+(-1+2*k)*x)*(x**2-2*x+1)/((1-x)*x*(-k*x+1))**(1/3)/(-b+4*b*x+(1-6*b)*x**2+(4*b-2*k)*x**3+(k**2-b)*x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2935,0,0,0,0.000000," ","integrate(1/(a*x+b)/(a**2*x**3+b**2*x)**(1/4),x)","\int \frac{1}{\sqrt[4]{x \left(a^{2} x^{2} + b^{2}\right)} \left(a x + b\right)}\, dx"," ",0,"Integral(1/((x*(a**2*x**2 + b**2))**(1/4)*(a*x + b)), x)","F",0
2936,0,0,0,0.000000," ","integrate((a*x**4-b)*(a*x**4-b*x**2)**(1/4)/(x**4-a*x**2-b),x)","\int \frac{\sqrt[4]{x^{2} \left(a x^{2} - b\right)} \left(a x^{4} - b\right)}{- a x^{2} - b + x^{4}}\, dx"," ",0,"Integral((x**2*(a*x**2 - b))**(1/4)*(a*x**4 - b)/(-a*x**2 - b + x**4), x)","F",0
2937,0,0,0,0.000000," ","integrate((a*x**4-b)*(a*x**4-b*x**2)**(1/4)/(x**4-a*x**2-b),x)","\int \frac{\sqrt[4]{x^{2} \left(a x^{2} - b\right)} \left(a x^{4} - b\right)}{- a x^{2} - b + x^{4}}\, dx"," ",0,"Integral((x**2*(a*x**2 - b))**(1/4)*(a*x**4 - b)/(-a*x**2 - b + x**4), x)","F",0
2938,-1,0,0,0.000000," ","integrate((-b+x)*(-4*a+b+3*x)/((-a+x)*(-b+x)**2)**(1/3)/(a+b**4*d-(4*b**3*d+1)*x+6*b**2*d*x**2-4*b*d*x**3+d*x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2939,0,0,0,0.000000," ","integrate((c*x**2+d)*(a*x+(a**2*x**2+b**2)**(1/2))**(1/2)/(e*x**2+f),x)","\int \frac{\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} \left(c x^{2} + d\right)}{e x^{2} + f}\, dx"," ",0,"Integral(sqrt(a*x + sqrt(a**2*x**2 + b**2))*(c*x**2 + d)/(e*x**2 + f), x)","F",0
2940,0,0,0,0.000000," ","integrate((x**2+1)*(x**2+(x**4+1)**(1/2))**(1/2)/(x**4+1)**(1/2)/(x**4+x**2-1),x)","\int \frac{\left(x^{2} + 1\right) \sqrt{x^{2} + \sqrt{x^{4} + 1}}}{\sqrt{x^{4} + 1} \left(x^{4} + x^{2} - 1\right)}\, dx"," ",0,"Integral((x**2 + 1)*sqrt(x**2 + sqrt(x**4 + 1))/(sqrt(x**4 + 1)*(x**4 + x**2 - 1)), x)","F",0
2941,0,0,0,0.000000," ","integrate((x**2+1)*(x**2+(x**4+1)**(1/2))**(1/2)/(x**4+1)**(1/2)/(x**4+x**2-1),x)","\int \frac{\left(x^{2} + 1\right) \sqrt{x^{2} + \sqrt{x^{4} + 1}}}{\sqrt{x^{4} + 1} \left(x^{4} + x^{2} - 1\right)}\, dx"," ",0,"Integral((x**2 + 1)*sqrt(x**2 + sqrt(x**4 + 1))/(sqrt(x**4 + 1)*(x**4 + x**2 - 1)), x)","F",0
2942,0,0,0,0.000000," ","integrate((-x**4+1)/(x**4+x**2+1)/(x**5-x**3)**(1/4),x)","- \int \frac{x^{4}}{x^{4} \sqrt[4]{x^{5} - x^{3}} + x^{2} \sqrt[4]{x^{5} - x^{3}} + \sqrt[4]{x^{5} - x^{3}}}\, dx - \int \left(- \frac{1}{x^{4} \sqrt[4]{x^{5} - x^{3}} + x^{2} \sqrt[4]{x^{5} - x^{3}} + \sqrt[4]{x^{5} - x^{3}}}\right)\, dx"," ",0,"-Integral(x**4/(x**4*(x**5 - x**3)**(1/4) + x**2*(x**5 - x**3)**(1/4) + (x**5 - x**3)**(1/4)), x) - Integral(-1/(x**4*(x**5 - x**3)**(1/4) + x**2*(x**5 - x**3)**(1/4) + (x**5 - x**3)**(1/4)), x)","F",0
2943,0,0,0,0.000000," ","integrate((a**2*x**2-b)**(1/2)/(a*x**2+x*(a**2*x**2-b)**(1/2))**(1/3),x)","\int \frac{\sqrt{a^{2} x^{2} - b}}{\sqrt[3]{x \left(a x + \sqrt{a^{2} x^{2} - b}\right)}}\, dx"," ",0,"Integral(sqrt(a**2*x**2 - b)/(x*(a*x + sqrt(a**2*x**2 - b)))**(1/3), x)","F",0
2944,0,0,0,0.000000," ","integrate((a**2*x**2+b)*(a*x**2+(a**2*x**4+b)**(1/2))**(1/2)/(a**2*x**2-b)/(a**2*x**4+b)**(1/2),x)","\int \frac{\sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}} \left(a^{2} x^{2} + b\right)}{\left(a^{2} x^{2} - b\right) \sqrt{a^{2} x^{4} + b}}\, dx"," ",0,"Integral(sqrt(a*x**2 + sqrt(a**2*x**4 + b))*(a**2*x**2 + b)/((a**2*x**2 - b)*sqrt(a**2*x**4 + b)), x)","F",0
2945,0,0,0,0.000000," ","integrate((a**2*x**2+b)*(a*x**2+(a**2*x**4+b)**(1/2))**(1/2)/(a**2*x**2-b)/(a**2*x**4+b)**(1/2),x)","\int \frac{\sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}} \left(a^{2} x^{2} + b\right)}{\left(a^{2} x^{2} - b\right) \sqrt{a^{2} x^{4} + b}}\, dx"," ",0,"Integral(sqrt(a*x**2 + sqrt(a**2*x**4 + b))*(a**2*x**2 + b)/((a**2*x**2 - b)*sqrt(a**2*x**4 + b)), x)","F",0
2946,0,0,0,0.000000," ","integrate(x**3/(a*x**4+b*x**3+c*x**2+b*x+a)**(1/2)/(-x**6+1),x)","- \int \frac{x^{3}}{x^{6} \sqrt{a x^{4} + a + b x^{3} + b x + c x^{2}} - \sqrt{a x^{4} + a + b x^{3} + b x + c x^{2}}}\, dx"," ",0,"-Integral(x**3/(x**6*sqrt(a*x**4 + a + b*x**3 + b*x + c*x**2) - sqrt(a*x**4 + a + b*x**3 + b*x + c*x**2)), x)","F",0
2947,0,0,0,0.000000," ","integrate((2*p*x**3-q)*(p**2*x**6+2*p*q*x**3-2*p*q*x**2+q**2)**(1/2)*(b*x**6+a*(p*x**3+q)**6)/x**9,x)","\int \frac{\left(2 p x^{3} - q\right) \sqrt{p^{2} x^{6} + 2 p q x^{3} - 2 p q x^{2} + q^{2}} \left(a p^{6} x^{18} + 6 a p^{5} q x^{15} + 15 a p^{4} q^{2} x^{12} + 20 a p^{3} q^{3} x^{9} + 15 a p^{2} q^{4} x^{6} + 6 a p q^{5} x^{3} + a q^{6} + b x^{6}\right)}{x^{9}}\, dx"," ",0,"Integral((2*p*x**3 - q)*sqrt(p**2*x**6 + 2*p*q*x**3 - 2*p*q*x**2 + q**2)*(a*p**6*x**18 + 6*a*p**5*q*x**15 + 15*a*p**4*q**2*x**12 + 20*a*p**3*q**3*x**9 + 15*a*p**2*q**4*x**6 + 6*a*p*q**5*x**3 + a*q**6 + b*x**6)/x**9, x)","F",0
2948,0,0,0,0.000000," ","integrate((p*x**3-2*q)*(p**2*x**6-2*p*q*x**4+2*p*q*x**3+q**2)**(1/2)*(b*x**12+a*(p*x**3+q)**6)/x**17,x)","\int \frac{\left(p x^{3} - 2 q\right) \sqrt{p^{2} x^{6} - 2 p q x^{4} + 2 p q x^{3} + q^{2}} \left(a p^{6} x^{18} + 6 a p^{5} q x^{15} + 15 a p^{4} q^{2} x^{12} + 20 a p^{3} q^{3} x^{9} + 15 a p^{2} q^{4} x^{6} + 6 a p q^{5} x^{3} + a q^{6} + b x^{12}\right)}{x^{17}}\, dx"," ",0,"Integral((p*x**3 - 2*q)*sqrt(p**2*x**6 - 2*p*q*x**4 + 2*p*q*x**3 + q**2)*(a*p**6*x**18 + 6*a*p**5*q*x**15 + 15*a*p**4*q**2*x**12 + 20*a*p**3*q**3*x**9 + 15*a*p**2*q**4*x**6 + 6*a*p*q**5*x**3 + a*q**6 + b*x**12)/x**17, x)","F",0
2949,-1,0,0,0.000000," ","integrate((p*x**4-q)*(p*x**4+q)**(1/2)/(b*x**4+a*(p*x**4+q)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2950,0,0,0,0.000000," ","integrate((a*x-3*b)/(-a**2*x**2+b**2)**(1/3)/(a**2*x**2+3*b**2),x)","\int \frac{a x - 3 b}{\sqrt[3]{- \left(a x - b\right) \left(a x + b\right)} \left(a^{2} x^{2} + 3 b^{2}\right)}\, dx"," ",0,"Integral((a*x - 3*b)/((-(a*x - b)*(a*x + b))**(1/3)*(a**2*x**2 + 3*b**2)), x)","F",0
2951,0,0,0,0.000000," ","integrate((x+(2*x**5+5*x**4+8*x**3+7*x**2+4*x+1)**(1/2))/(1-(2*x**5+5*x**4+8*x**3+7*x**2+4*x+1)**(1/2)),x)","- \int \frac{x}{\sqrt{2 x^{5} + 5 x^{4} + 8 x^{3} + 7 x^{2} + 4 x + 1} - 1}\, dx - \int \frac{\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}\, dx"," ",0,"-Integral(x/(sqrt(2*x**5 + 5*x**4 + 8*x**3 + 7*x**2 + 4*x + 1) - 1), x) - Integral(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), x)","F",0
2952,-1,0,0,0.000000," ","integrate(x**3*(4*a*b-3*(a+b)*x+2*x**2)/(x**2*(-a+x)*(-b+x))**(2/3)/(-a*b*d+(a+b)*d*x-d*x**2+x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2953,0,0,0,0.000000," ","integrate(x**3/(x**4+x**2)**(1/3)/(x**6-1),x)","\int \frac{x^{3}}{\sqrt[3]{x^{2} \left(x^{2} + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)}\, dx"," ",0,"Integral(x**3/((x**2*(x**2 + 1))**(1/3)*(x - 1)*(x + 1)*(x**2 - x + 1)*(x**2 + x + 1)), x)","F",0
2954,0,0,0,0.000000," ","integrate((1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(-x**2+1)**2/(x**2+1)**(1/2),x)","\int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{\left(x - 1\right)^{2} \left(x + 1\right)^{2} \sqrt{x^{2} + 1}}\, dx"," ",0,"Integral(sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/((x - 1)**2*(x + 1)**2*sqrt(x**2 + 1)), x)","F",0
2955,0,0,0,0.000000," ","integrate((1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(-x**2+1)**2/(x**2+1)**(1/2),x)","\int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{\left(x - 1\right)^{2} \left(x + 1\right)^{2} \sqrt{x^{2} + 1}}\, dx"," ",0,"Integral(sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/((x - 1)**2*(x + 1)**2*sqrt(x**2 + 1)), x)","F",0
2956,0,0,0,0.000000," ","integrate((x**2+1)**(1/2)*(1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(-x**2+1)**2,x)","\int \frac{\sqrt{x^{2} + 1} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{\left(x - 1\right)^{2} \left(x + 1\right)^{2}}\, dx"," ",0,"Integral(sqrt(x**2 + 1)*sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/((x - 1)**2*(x + 1)**2), x)","F",0
2957,0,0,0,0.000000," ","integrate((x**2+1)**(1/2)*(1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(-x**2+1)**2,x)","\int \frac{\sqrt{x^{2} + 1} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{\left(x - 1\right)^{2} \left(x + 1\right)^{2}}\, dx"," ",0,"Integral(sqrt(x**2 + 1)*sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/((x - 1)**2*(x + 1)**2), x)","F",0
2958,0,0,0,0.000000," ","integrate((x**2+1)**(1/2)*(1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(-x**2+1)**2,x)","\int \frac{\sqrt{x^{2} + 1} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{\left(x - 1\right)^{2} \left(x + 1\right)^{2}}\, dx"," ",0,"Integral(sqrt(x**2 + 1)*sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/((x - 1)**2*(x + 1)**2), x)","F",0
2959,0,0,0,0.000000," ","integrate((a*x**2+b*x+c)**(5/2)/(b*x+c)**2,x)","\int \frac{\left(a x^{2} + b x + c\right)^{\frac{5}{2}}}{\left(b x + c\right)^{2}}\, dx"," ",0,"Integral((a*x**2 + b*x + c)**(5/2)/(b*x + c)**2, x)","F",0
2960,0,0,0,0.000000," ","integrate((x**4+1)**2/(x**4-1)**2/(x**2+(x**4+1)**(1/2))**(1/2),x)","\int \frac{\left(x^{4} + 1\right)^{2}}{\left(x - 1\right)^{2} \left(x + 1\right)^{2} \left(x^{2} + 1\right)^{2} \sqrt{x^{2} + \sqrt{x^{4} + 1}}}\, dx"," ",0,"Integral((x**4 + 1)**2/((x - 1)**2*(x + 1)**2*(x**2 + 1)**2*sqrt(x**2 + sqrt(x**4 + 1))), x)","F",0
2961,0,0,0,0.000000," ","integrate((a*x+(a*x-b)**(1/2))**(1/2)/(1+(a*x-b)**(1/2)),x)","\int \frac{\sqrt{a x + \sqrt{a x - b}}}{\sqrt{a x - b} + 1}\, dx"," ",0,"Integral(sqrt(a*x + sqrt(a*x - b))/(sqrt(a*x - b) + 1), x)","F",0
2962,0,0,0,0.000000," ","integrate((a*x**2+b*x)*(a*x**4+b*x**3)**(1/4)/(a*x+x**2-b),x)","\int \frac{x \sqrt[4]{x^{3} \left(a x + b\right)} \left(a x + b\right)}{a x - b + x^{2}}\, dx"," ",0,"Integral(x*(x**3*(a*x + b))**(1/4)*(a*x + b)/(a*x - b + x**2), x)","F",0
2963,0,0,0,0.000000," ","integrate((a*x**2+b*x)*(a*x**4+b*x**3)**(1/4)/(a*x+x**2-b),x)","\int \frac{x \sqrt[4]{x^{3} \left(a x + b\right)} \left(a x + b\right)}{a x - b + x^{2}}\, dx"," ",0,"Integral(x*(x**3*(a*x + b))**(1/4)*(a*x + b)/(a*x - b + x**2), x)","F",0
2964,-1,0,0,0.000000," ","integrate((a**10*x**10-b**10)/(a**4*x**4+b**4)**(1/2)/(a**10*x**10+b**10),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2965,-1,0,0,0.000000," ","integrate((a**10*x**10-b**10)/(a**4*x**4+b**4)**(1/2)/(a**10*x**10+b**10),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2966,0,0,0,0.000000," ","integrate((a*x**2+b)*(x**3+x)**(1/3)/(c*x**2+d),x)","\int \frac{\sqrt[3]{x \left(x^{2} + 1\right)} \left(a x^{2} + b\right)}{c x^{2} + d}\, dx"," ",0,"Integral((x*(x**2 + 1))**(1/3)*(a*x**2 + b)/(c*x**2 + d), x)","F",0
2967,-1,0,0,0.000000," ","integrate(x**2*(a*x**3+b)*(2*a*p*x**3+3*a*q-b*p)/(p*x**3+q)**(2/3)/(b**3*c+d*q+(3*a*b**2*c+d*p)*x**3+3*a**2*b*c*x**6+a**3*c*x**9),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2968,-1,0,0,0.000000," ","integrate((a*b+a*c-2*b*c+(-2*a+b+c)*x)/((-a+x)*(-b+x)*(-c+x))**(1/3)/(a**2-b*c*d+(b*d+c*d-2*a)*x+(1-d)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2969,-1,0,0,0.000000," ","integrate((-2+x)*(x**2-x+1)/x**3/(x**2+x-1)/((2*x**2-x+1)/(3*x**2-x+1))**(1/3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2970,0,0,0,0.000000," ","integrate(x**3*(9*a*x**4+5*b)/(a*x**5+b*x)**(1/4)/(a*x**9+b*x**5+1),x)","\int \frac{x^{3} \left(9 a x^{4} + 5 b\right)}{\sqrt[4]{x \left(a x^{4} + b\right)} \left(a x^{9} + b x^{5} + 1\right)}\, dx"," ",0,"Integral(x**3*(9*a*x**4 + 5*b)/((x*(a*x**4 + b))**(1/4)*(a*x**9 + b*x**5 + 1)), x)","F",0
2971,0,0,0,0.000000," ","integrate((x**2+1)**(1/2)*(x**4+1)*(1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(-x**4+1),x)","- \int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{x^{2} \sqrt{x^{2} + 1} - \sqrt{x^{2} + 1}}\, dx - \int \frac{x^{4} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{x^{2} \sqrt{x^{2} + 1} - \sqrt{x^{2} + 1}}\, dx"," ",0,"-Integral(sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/(x**2*sqrt(x**2 + 1) - sqrt(x**2 + 1)), x) - Integral(x**4*sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/(x**2*sqrt(x**2 + 1) - sqrt(x**2 + 1)), x)","F",0
2972,0,0,0,0.000000," ","integrate((x**2+1)**(1/2)*(x**4+1)*(1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(-x**4+1),x)","- \int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{x^{2} \sqrt{x^{2} + 1} - \sqrt{x^{2} + 1}}\, dx - \int \frac{x^{4} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{x^{2} \sqrt{x^{2} + 1} - \sqrt{x^{2} + 1}}\, dx"," ",0,"-Integral(sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/(x**2*sqrt(x**2 + 1) - sqrt(x**2 + 1)), x) - Integral(x**4*sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/(x**2*sqrt(x**2 + 1) - sqrt(x**2 + 1)), x)","F",0
2973,0,0,0,0.000000," ","integrate((a**12*x**12+b**12)/(a**4*x**4-b**4)**(1/2)/(a**12*x**12-b**12),x)","\int \frac{\left(a^{4} x^{4} + b^{4}\right) \left(a^{8} x^{8} - a^{4} b^{4} x^{4} + b^{8}\right)}{\sqrt{\left(a x - b\right) \left(a x + b\right) \left(a^{2} x^{2} + b^{2}\right)} \left(a x - b\right) \left(a x + b\right) \left(a^{2} x^{2} + b^{2}\right) \left(a^{2} x^{2} - a b x + b^{2}\right) \left(a^{2} x^{2} + a b x + b^{2}\right) \left(a^{4} x^{4} - a^{2} b^{2} x^{2} + b^{4}\right)}\, dx"," ",0,"Integral((a**4*x**4 + b**4)*(a**8*x**8 - a**4*b**4*x**4 + b**8)/(sqrt((a*x - b)*(a*x + b)*(a**2*x**2 + b**2))*(a*x - b)*(a*x + b)*(a**2*x**2 + b**2)*(a**2*x**2 - a*b*x + b**2)*(a**2*x**2 + a*b*x + b**2)*(a**4*x**4 - a**2*b**2*x**2 + b**4)), x)","F",0
2974,0,0,0,0.000000," ","integrate((a*x**2+(a**2*x**4+b)**(1/2))**(1/2)/(a**2*x**4+b)**(1/2)/(c*x**4+d),x)","\int \frac{\sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}{\sqrt{a^{2} x^{4} + b} \left(c x^{4} + d\right)}\, dx"," ",0,"Integral(sqrt(a*x**2 + sqrt(a**2*x**4 + b))/(sqrt(a**2*x**4 + b)*(c*x**4 + d)), x)","F",0
2975,0,0,0,0.000000," ","integrate((a*x**2+(a**2*x**4+b)**(1/2))**(1/2)/(a**2*x**4+b)**(1/2)/(c*x**4+d),x)","\int \frac{\sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}{\sqrt{a^{2} x^{4} + b} \left(c x^{4} + d\right)}\, dx"," ",0,"Integral(sqrt(a*x**2 + sqrt(a**2*x**4 + b))/(sqrt(a**2*x**4 + b)*(c*x**4 + d)), x)","F",0
2976,-1,0,0,0.000000," ","integrate(x/(x-(a*x+b)**(1/2)*(c+(a*x+b)**(1/2))**(1/2)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2977,-1,0,0,0.000000," ","integrate(x/(x-(a*x+b)**(1/2)*(c+(a*x+b)**(1/2))**(1/2)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2978,-1,0,0,0.000000," ","integrate((-2*x+(1+k)*x**2)*(1-(1+k)*x+(a+k)*x**2)/((1-x)*x*(-k*x+1))**(2/3)/(1-2*(1+k)*x+(k**2+4*k+1)*x**2-2*(k**2+k)*x**3+(k**2-b)*x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2979,-1,0,0,0.000000," ","integrate((-2+(1+k)*x)*(1-(1+k)*x+(a+k)*x**2)/((1-x)*x*(-k*x+1))**(1/3)/(1-(2+2*k)*x+(k**2+4*k+1)*x**2-2*(k**2+k)*x**3+(k**2-b)*x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2980,0,0,0,0.000000," ","integrate(1/(a**2*x**2-b)**(1/2)/(a*x+(a**2*x**2-b)**(1/2))**(1/2)/(c+(a*x+(a**2*x**2-b)**(1/2))**(1/4))**(1/6),x)","\int \frac{1}{\sqrt[6]{c + \sqrt[4]{a x + \sqrt{a^{2} x^{2} - b}}} \sqrt{a x + \sqrt{a^{2} x^{2} - b}} \sqrt{a^{2} x^{2} - b}}\, dx"," ",0,"Integral(1/((c + (a*x + sqrt(a**2*x**2 - b))**(1/4))**(1/6)*sqrt(a*x + sqrt(a**2*x**2 - b))*sqrt(a**2*x**2 - b)), x)","F",0
2981,0,0,0,0.000000," ","integrate(x/(1+(a*x+(a**2*x**2-b)**(1/2))**(1/2))**(1/2),x)","\int \frac{x}{\sqrt{\sqrt{a x + \sqrt{a^{2} x^{2} - b}} + 1}}\, dx"," ",0,"Integral(x/sqrt(sqrt(a*x + sqrt(a**2*x**2 - b)) + 1), x)","F",0
2982,0,0,0,0.000000," ","integrate((c*x**2+d)*(a*x+(a**2*x**2-b)**(1/2))**(5/4)/(a**2*x**2-b)**(3/2),x)","\int \frac{\left(a x + \sqrt{a^{2} x^{2} - b}\right)^{\frac{5}{4}} \left(c x^{2} + d\right)}{\left(a^{2} x^{2} - b\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a*x + sqrt(a**2*x**2 - b))**(5/4)*(c*x**2 + d)/(a**2*x**2 - b)**(3/2), x)","F",0
2983,0,0,0,0.000000," ","integrate((a*x**2-b)*(x**3-x)**(1/3)/(c*x**2-d),x)","\int \frac{\sqrt[3]{x \left(x - 1\right) \left(x + 1\right)} \left(a x^{2} - b\right)}{c x^{2} - d}\, dx"," ",0,"Integral((x*(x - 1)*(x + 1))**(1/3)*(a*x**2 - b)/(c*x**2 - d), x)","F",0
2984,-1,0,0,0.000000," ","integrate((-a*b+(2*a-b)*x)*(a**2-2*a*x+x**2)/(x*(-a+x)*(-b+x))**(1/3)/(a**4*d-4*a**3*d*x+(6*a**2*d-b**2)*x**2+2*(-2*a*d+b)*x**3+(-1+d)*x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2985,0,0,0,0.000000," ","integrate((d*x+b)/x**4/((a*x+b)/(c*x+d))**(1/4),x)","\int \frac{b + d x}{x^{4} \sqrt[4]{\frac{a x + b}{c x + d}}}\, dx"," ",0,"Integral((b + d*x)/(x**4*((a*x + b)/(c*x + d))**(1/4)), x)","F",0
2986,0,0,0,0.000000," ","integrate((e*x+f)/(d+c*x+(a*x+(a**2*x**2+b**2)**(1/2))**(1/2)),x)","\int \frac{e x + f}{c x + d + \sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}}}\, dx"," ",0,"Integral((e*x + f)/(c*x + d + sqrt(a*x + sqrt(a**2*x**2 + b**2))), x)","F",0
2987,0,0,0,0.000000," ","integrate((x**6+1)/(x**5-x**3)**(1/4)/(-x**6+1),x)","- \int \frac{x^{6}}{x^{6} \sqrt[4]{x^{5} - x^{3}} - \sqrt[4]{x^{5} - x^{3}}}\, dx - \int \frac{1}{x^{6} \sqrt[4]{x^{5} - x^{3}} - \sqrt[4]{x^{5} - x^{3}}}\, dx"," ",0,"-Integral(x**6/(x**6*(x**5 - x**3)**(1/4) - (x**5 - x**3)**(1/4)), x) - Integral(1/(x**6*(x**5 - x**3)**(1/4) - (x**5 - x**3)**(1/4)), x)","F",0
2988,0,0,0,0.000000," ","integrate((a**2*x**2-b)**(1/2)*(c*x**4+d)*(a*x+(a**2*x**2-b)**(1/2))**(1/2)/x**2,x)","\int \frac{\sqrt{a x + \sqrt{a^{2} x^{2} - b}} \sqrt{a^{2} x^{2} - b} \left(c x^{4} + d\right)}{x^{2}}\, dx"," ",0,"Integral(sqrt(a*x + sqrt(a**2*x**2 - b))*sqrt(a**2*x**2 - b)*(c*x**4 + d)/x**2, x)","F",0
2989,0,0,0,0.000000," ","integrate((x**2+1)**(3/2)*(1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(-x**2+1)**2,x)","\int \frac{\left(x^{2} + 1\right)^{\frac{3}{2}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{\left(x - 1\right)^{2} \left(x + 1\right)^{2}}\, dx"," ",0,"Integral((x**2 + 1)**(3/2)*sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/((x - 1)**2*(x + 1)**2), x)","F",0
2990,0,0,0,0.000000," ","integrate((x**2+1)**(3/2)*(1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(-x**2+1)**2,x)","\int \frac{\left(x^{2} + 1\right)^{\frac{3}{2}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{\left(x - 1\right)^{2} \left(x + 1\right)^{2}}\, dx"," ",0,"Integral((x**2 + 1)**(3/2)*sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/((x - 1)**2*(x + 1)**2), x)","F",0
2991,0,0,0,0.000000," ","integrate((x**2+1)**(3/2)*(1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(-x**2+1)**2,x)","\int \frac{\left(x^{2} + 1\right)^{\frac{3}{2}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{\left(x - 1\right)^{2} \left(x + 1\right)^{2}}\, dx"," ",0,"Integral((x**2 + 1)**(3/2)*sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/((x - 1)**2*(x + 1)**2), x)","F",0
2992,0,0,0,0.000000," ","integrate((x**4+x**2+1)*(x**2+(x**4+1)**(1/2))**(1/2)/(x**4+1)**(1/2)/(x**4+x**2-1),x)","\int \frac{\sqrt{x^{2} + \sqrt{x^{4} + 1}} \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)}{\sqrt{x^{4} + 1} \left(x^{4} + x^{2} - 1\right)}\, dx"," ",0,"Integral(sqrt(x**2 + sqrt(x**4 + 1))*(x**2 - x + 1)*(x**2 + x + 1)/(sqrt(x**4 + 1)*(x**4 + x**2 - 1)), x)","F",0
2993,0,0,0,0.000000," ","integrate((x**4+x**2+1)*(x**2+(x**4+1)**(1/2))**(1/2)/(x**4+1)**(1/2)/(x**4+x**2-1),x)","\int \frac{\sqrt{x^{2} + \sqrt{x^{4} + 1}} \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)}{\sqrt{x^{4} + 1} \left(x^{4} + x^{2} - 1\right)}\, dx"," ",0,"Integral(sqrt(x**2 + sqrt(x**4 + 1))*(x**2 - x + 1)*(x**2 + x + 1)/(sqrt(x**4 + 1)*(x**4 + x**2 - 1)), x)","F",0
2994,0,0,0,0.000000," ","integrate((a**2*x**2-b)**(1/2)*(c*x**4+d)*(a*x+(a**2*x**2-b)**(1/2))**(1/2)/x,x)","\int \frac{\sqrt{a x + \sqrt{a^{2} x^{2} - b}} \sqrt{a^{2} x^{2} - b} \left(c x^{4} + d\right)}{x}\, dx"," ",0,"Integral(sqrt(a*x + sqrt(a**2*x**2 - b))*sqrt(a**2*x**2 - b)*(c*x**4 + d)/x, x)","F",0
2995,0,0,0,0.000000," ","integrate((a*x**2+(a**2*x**4+b)**(1/2))**(1/2)/(c*x**2+d),x)","\int \frac{\sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}{c x^{2} + d}\, dx"," ",0,"Integral(sqrt(a*x**2 + sqrt(a**2*x**4 + b))/(c*x**2 + d), x)","F",0
2996,0,0,0,0.000000," ","integrate((a*x**2+(a**2*x**4+b)**(1/2))**(1/2)/(c*x**2+d),x)","\int \frac{\sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}{c x^{2} + d}\, dx"," ",0,"Integral(sqrt(a*x**2 + sqrt(a**2*x**4 + b))/(c*x**2 + d), x)","F",0
2997,0,0,0,0.000000," ","integrate(x**5*(10*a*x**3+7*b)/(a*x**6+b*x**3)**(1/4)/(a*x**10+b*x**7+1),x)","\int \frac{x^{5} \left(10 a x^{3} + 7 b\right)}{\sqrt[4]{x^{3} \left(a x^{3} + b\right)} \left(a x^{10} + b x^{7} + 1\right)}\, dx"," ",0,"Integral(x**5*(10*a*x**3 + 7*b)/((x**3*(a*x**3 + b))**(1/4)*(a*x**10 + b*x**7 + 1)), x)","F",0
2998,0,0,0,0.000000," ","integrate(x**4*(p*x**3-2*q)*(p*x**3+q)**(1/2)/(b*x**8+a*(p*x**3+q)**4),x)","\int \frac{x^{4} \left(p x^{3} - 2 q\right) \sqrt{p x^{3} + q}}{a p^{4} x^{12} + 4 a p^{3} q x^{9} + 6 a p^{2} q^{2} x^{6} + 4 a p q^{3} x^{3} + a q^{4} + b x^{8}}\, dx"," ",0,"Integral(x**4*(p*x**3 - 2*q)*sqrt(p*x**3 + q)/(a*p**4*x**12 + 4*a*p**3*q*x**9 + 6*a*p**2*q**2*x**6 + 4*a*p*q**3*x**3 + a*q**4 + b*x**8), x)","F",0
2999,0,0,0,0.000000," ","integrate((x+(x**2+1)**(1/2))**(1/2)*(1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(x**2+1)**2,x)","\int \frac{\sqrt{x + \sqrt{x^{2} + 1}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{\left(x^{2} + 1\right)^{2}}\, dx"," ",0,"Integral(sqrt(x + sqrt(x**2 + 1))*sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/(x**2 + 1)**2, x)","F",0
3000,0,0,0,0.000000," ","integrate((x+(x**2+1)**(1/2))**(1/2)*(1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(x**2+1)**2,x)","\int \frac{\sqrt{x + \sqrt{x^{2} + 1}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{\left(x^{2} + 1\right)^{2}}\, dx"," ",0,"Integral(sqrt(x + sqrt(x**2 + 1))*sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/(x**2 + 1)**2, x)","F",0
3001,0,0,0,0.000000," ","integrate((x+(x**2+1)**(1/2))**(1/2)*(1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(-x**2+1)**2,x)","\int \frac{\sqrt{x + \sqrt{x^{2} + 1}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{\left(x - 1\right)^{2} \left(x + 1\right)^{2}}\, dx"," ",0,"Integral(sqrt(x + sqrt(x**2 + 1))*sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/((x - 1)**2*(x + 1)**2), x)","F",0
3002,0,0,0,0.000000," ","integrate((x+(x**2+1)**(1/2))**(1/2)*(1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(-x**2+1)**2,x)","\int \frac{\sqrt{x + \sqrt{x^{2} + 1}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{\left(x - 1\right)^{2} \left(x + 1\right)^{2}}\, dx"," ",0,"Integral(sqrt(x + sqrt(x**2 + 1))*sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/((x - 1)**2*(x + 1)**2), x)","F",0
3003,0,0,0,0.000000," ","integrate((1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(x**2+1)**2/(x+(x**2+1)**(1/2))**(1/2),x)","\int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{\sqrt{x + \sqrt{x^{2} + 1}} \left(x^{2} + 1\right)^{2}}\, dx"," ",0,"Integral(sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/(sqrt(x + sqrt(x**2 + 1))*(x**2 + 1)**2), x)","F",0
3004,0,0,0,0.000000," ","integrate((1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(x**2+1)**2/(x+(x**2+1)**(1/2))**(1/2),x)","\int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{\sqrt{x + \sqrt{x^{2} + 1}} \left(x^{2} + 1\right)^{2}}\, dx"," ",0,"Integral(sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/(sqrt(x + sqrt(x**2 + 1))*(x**2 + 1)**2), x)","F",0
3005,-1,0,0,0.000000," ","integrate((1+(-2+k)*x)*(k**2*x**2-2*k*x+1)/((1-x)*x*(-k*x+1))**(1/3)/(b-4*b*k*x+(6*b*k**2-1)*x**2+(-4*b*k**3+2)*x**3+(b*k**4-1)*x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3006,0,0,0,0.000000," ","integrate((1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(-x**2+1)**2/(x+(x**2+1)**(1/2))**(1/2),x)","\int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{\left(x - 1\right)^{2} \left(x + 1\right)^{2} \sqrt{x + \sqrt{x^{2} + 1}}}\, dx"," ",0,"Integral(sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/((x - 1)**2*(x + 1)**2*sqrt(x + sqrt(x**2 + 1))), x)","F",0
3007,0,0,0,0.000000," ","integrate((1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(-x**2+1)**2/(x+(x**2+1)**(1/2))**(1/2),x)","\int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{\left(x - 1\right)^{2} \left(x + 1\right)^{2} \sqrt{x + \sqrt{x^{2} + 1}}}\, dx"," ",0,"Integral(sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/((x - 1)**2*(x + 1)**2*sqrt(x + sqrt(x**2 + 1))), x)","F",0
3008,-1,0,0,0.000000," ","integrate((a-2*b+x)*(a**2-2*a*x+x**2)/((-a+x)*(-b+x))**(1/3)/(-b**2+a**4*d+2*(-2*a**3*d+b)*x+(6*a**2*d-1)*x**2-4*a*d*x**3+d*x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3009,0,0,0,0.000000," ","integrate((x**4+1)*(1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(-x**4+1)/(x+(x**2+1)**(1/2))**(1/2),x)","- \int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{x^{4} \sqrt{x + \sqrt{x^{2} + 1}} - \sqrt{x + \sqrt{x^{2} + 1}}}\, dx - \int \frac{x^{4} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{x^{4} \sqrt{x + \sqrt{x^{2} + 1}} - \sqrt{x + \sqrt{x^{2} + 1}}}\, dx"," ",0,"-Integral(sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/(x**4*sqrt(x + sqrt(x**2 + 1)) - sqrt(x + sqrt(x**2 + 1))), x) - Integral(x**4*sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/(x**4*sqrt(x + sqrt(x**2 + 1)) - sqrt(x + sqrt(x**2 + 1))), x)","F",0
3010,0,0,0,0.000000," ","integrate((x**4+1)*(1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(-x**4+1)/(x+(x**2+1)**(1/2))**(1/2),x)","- \int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{x^{4} \sqrt{x + \sqrt{x^{2} + 1}} - \sqrt{x + \sqrt{x^{2} + 1}}}\, dx - \int \frac{x^{4} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{x^{4} \sqrt{x + \sqrt{x^{2} + 1}} - \sqrt{x + \sqrt{x^{2} + 1}}}\, dx"," ",0,"-Integral(sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/(x**4*sqrt(x + sqrt(x**2 + 1)) - sqrt(x + sqrt(x**2 + 1))), x) - Integral(x**4*sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/(x**4*sqrt(x + sqrt(x**2 + 1)) - sqrt(x + sqrt(x**2 + 1))), x)","F",0
3011,1,1095,0,123.161111," ","integrate((a*x+b)**(1/2)*(c+(a*x+b)**(1/2))**(1/2)/(x-(a*x+b)**(1/2)),x)","- 4 a^{2} c \operatorname{RootSum} {\left(t^{4} \left(16 a^{5} c - 16 a^{4} b + 16 a^{4} c^{2} + 128 a^{3} b c - 128 a^{2} b^{2} + 128 a^{2} b c^{2} + 256 a b^{2} c - 256 b^{3} + 256 b^{2} c^{2}\right) + t^{2} \left(- 4 a^{3} - 8 a^{2} c - 16 a b - 32 b c\right) + 1, \left( t \mapsto t \log{\left(8 t^{3} a^{4} c - 8 t^{3} a^{3} b + 24 t^{3} a^{3} c^{2} + 16 t^{3} a^{2} b c + 16 t^{3} a^{2} c^{3} - 32 t^{3} a b^{2} + 96 t^{3} a b c^{2} - 64 t^{3} b^{2} c + 64 t^{3} b c^{3} - 2 t a^{2} - 4 t a c - 4 t b - 4 t c^{2} + \sqrt{c + \sqrt{a x + b}} \right)} \right)\right)} + 4 a^{2} \operatorname{RootSum} {\left(t^{4} \left(16 a^{4} + 128 a^{2} b + 256 b^{2}\right) + t^{2} \left(- 4 a^{3} - 8 a^{2} c - 16 a b - 32 b c\right) + a c - b + c^{2}, \left( t \mapsto t \log{\left(- 16 t^{3} a^{2} - 64 t^{3} b + 2 t a + 4 t c + \sqrt{c + \sqrt{a x + b}} \right)} \right)\right)} + 4 a b \operatorname{RootSum} {\left(t^{4} \left(16 a^{5} c - 16 a^{4} b + 16 a^{4} c^{2} + 128 a^{3} b c - 128 a^{2} b^{2} + 128 a^{2} b c^{2} + 256 a b^{2} c - 256 b^{3} + 256 b^{2} c^{2}\right) + t^{2} \left(- 4 a^{3} - 8 a^{2} c - 16 a b - 32 b c\right) + 1, \left( t \mapsto t \log{\left(8 t^{3} a^{4} c - 8 t^{3} a^{3} b + 24 t^{3} a^{3} c^{2} + 16 t^{3} a^{2} b c + 16 t^{3} a^{2} c^{3} - 32 t^{3} a b^{2} + 96 t^{3} a b c^{2} - 64 t^{3} b^{2} c + 64 t^{3} b c^{3} - 2 t a^{2} - 4 t a c - 4 t b - 4 t c^{2} + \sqrt{c + \sqrt{a x + b}} \right)} \right)\right)} - 4 a c^{2} \operatorname{RootSum} {\left(t^{4} \left(16 a^{5} c - 16 a^{4} b + 16 a^{4} c^{2} + 128 a^{3} b c - 128 a^{2} b^{2} + 128 a^{2} b c^{2} + 256 a b^{2} c - 256 b^{3} + 256 b^{2} c^{2}\right) + t^{2} \left(- 4 a^{3} - 8 a^{2} c - 16 a b - 32 b c\right) + 1, \left( t \mapsto t \log{\left(8 t^{3} a^{4} c - 8 t^{3} a^{3} b + 24 t^{3} a^{3} c^{2} + 16 t^{3} a^{2} b c + 16 t^{3} a^{2} c^{3} - 32 t^{3} a b^{2} + 96 t^{3} a b c^{2} - 64 t^{3} b^{2} c + 64 t^{3} b c^{3} - 2 t a^{2} - 4 t a c - 4 t b - 4 t c^{2} + \sqrt{c + \sqrt{a x + b}} \right)} \right)\right)} + 4 a c \operatorname{RootSum} {\left(t^{4} \left(16 a^{4} + 128 a^{2} b + 256 b^{2}\right) + t^{2} \left(- 4 a^{3} - 8 a^{2} c - 16 a b - 32 b c\right) + a c - b + c^{2}, \left( t \mapsto t \log{\left(- 16 t^{3} a^{2} - 64 t^{3} b + 2 t a + 4 t c + \sqrt{c + \sqrt{a x + b}} \right)} \right)\right)} + 4 a \sqrt{c + \sqrt{a x + b}} + 4 b \operatorname{RootSum} {\left(t^{4} \left(16 a^{4} + 128 a^{2} b + 256 b^{2}\right) + t^{2} \left(- 4 a^{3} - 8 a^{2} c - 16 a b - 32 b c\right) + a c - b + c^{2}, \left( t \mapsto t \log{\left(- 16 t^{3} a^{2} - 64 t^{3} b + 2 t a + 4 t c + \sqrt{c + \sqrt{a x + b}} \right)} \right)\right)} + \frac{4 \left(c + \sqrt{a x + b}\right)^{\frac{3}{2}}}{3}"," ",0,"-4*a**2*c*RootSum(_t**4*(16*a**5*c - 16*a**4*b + 16*a**4*c**2 + 128*a**3*b*c - 128*a**2*b**2 + 128*a**2*b*c**2 + 256*a*b**2*c - 256*b**3 + 256*b**2*c**2) + _t**2*(-4*a**3 - 8*a**2*c - 16*a*b - 32*b*c) + 1, Lambda(_t, _t*log(8*_t**3*a**4*c - 8*_t**3*a**3*b + 24*_t**3*a**3*c**2 + 16*_t**3*a**2*b*c + 16*_t**3*a**2*c**3 - 32*_t**3*a*b**2 + 96*_t**3*a*b*c**2 - 64*_t**3*b**2*c + 64*_t**3*b*c**3 - 2*_t*a**2 - 4*_t*a*c - 4*_t*b - 4*_t*c**2 + sqrt(c + sqrt(a*x + b))))) + 4*a**2*RootSum(_t**4*(16*a**4 + 128*a**2*b + 256*b**2) + _t**2*(-4*a**3 - 8*a**2*c - 16*a*b - 32*b*c) + a*c - b + c**2, Lambda(_t, _t*log(-16*_t**3*a**2 - 64*_t**3*b + 2*_t*a + 4*_t*c + sqrt(c + sqrt(a*x + b))))) + 4*a*b*RootSum(_t**4*(16*a**5*c - 16*a**4*b + 16*a**4*c**2 + 128*a**3*b*c - 128*a**2*b**2 + 128*a**2*b*c**2 + 256*a*b**2*c - 256*b**3 + 256*b**2*c**2) + _t**2*(-4*a**3 - 8*a**2*c - 16*a*b - 32*b*c) + 1, Lambda(_t, _t*log(8*_t**3*a**4*c - 8*_t**3*a**3*b + 24*_t**3*a**3*c**2 + 16*_t**3*a**2*b*c + 16*_t**3*a**2*c**3 - 32*_t**3*a*b**2 + 96*_t**3*a*b*c**2 - 64*_t**3*b**2*c + 64*_t**3*b*c**3 - 2*_t*a**2 - 4*_t*a*c - 4*_t*b - 4*_t*c**2 + sqrt(c + sqrt(a*x + b))))) - 4*a*c**2*RootSum(_t**4*(16*a**5*c - 16*a**4*b + 16*a**4*c**2 + 128*a**3*b*c - 128*a**2*b**2 + 128*a**2*b*c**2 + 256*a*b**2*c - 256*b**3 + 256*b**2*c**2) + _t**2*(-4*a**3 - 8*a**2*c - 16*a*b - 32*b*c) + 1, Lambda(_t, _t*log(8*_t**3*a**4*c - 8*_t**3*a**3*b + 24*_t**3*a**3*c**2 + 16*_t**3*a**2*b*c + 16*_t**3*a**2*c**3 - 32*_t**3*a*b**2 + 96*_t**3*a*b*c**2 - 64*_t**3*b**2*c + 64*_t**3*b*c**3 - 2*_t*a**2 - 4*_t*a*c - 4*_t*b - 4*_t*c**2 + sqrt(c + sqrt(a*x + b))))) + 4*a*c*RootSum(_t**4*(16*a**4 + 128*a**2*b + 256*b**2) + _t**2*(-4*a**3 - 8*a**2*c - 16*a*b - 32*b*c) + a*c - b + c**2, Lambda(_t, _t*log(-16*_t**3*a**2 - 64*_t**3*b + 2*_t*a + 4*_t*c + sqrt(c + sqrt(a*x + b))))) + 4*a*sqrt(c + sqrt(a*x + b)) + 4*b*RootSum(_t**4*(16*a**4 + 128*a**2*b + 256*b**2) + _t**2*(-4*a**3 - 8*a**2*c - 16*a*b - 32*b*c) + a*c - b + c**2, Lambda(_t, _t*log(-16*_t**3*a**2 - 64*_t**3*b + 2*_t*a + 4*_t*c + sqrt(c + sqrt(a*x + b))))) + 4*(c + sqrt(a*x + b))**(3/2)/3","B",0
3012,0,0,0,0.000000," ","integrate((1+x)/(-a*x+1)/((-b*x+1)/(c+x))**(1/4),x)","- \int \frac{x}{a x \sqrt[4]{- \frac{b x}{c + x} + \frac{1}{c + x}} - \sqrt[4]{- \frac{b x}{c + x} + \frac{1}{c + x}}}\, dx - \int \frac{1}{a x \sqrt[4]{- \frac{b x}{c + x} + \frac{1}{c + x}} - \sqrt[4]{- \frac{b x}{c + x} + \frac{1}{c + x}}}\, dx"," ",0,"-Integral(x/(a*x*(-b*x/(c + x) + 1/(c + x))**(1/4) - (-b*x/(c + x) + 1/(c + x))**(1/4)), x) - Integral(1/(a*x*(-b*x/(c + x) + 1/(c + x))**(1/4) - (-b*x/(c + x) + 1/(c + x))**(1/4)), x)","F",0
3013,0,0,0,0.000000," ","integrate(x**5*(9*a*x**2-7*b)/(a*x**5-b*x**3)**(1/4)/(a*x**9-b*x**7+1),x)","\int \frac{x^{5} \left(9 a x^{2} - 7 b\right)}{\sqrt[4]{x^{3} \left(a x^{2} - b\right)} \left(a x^{9} - b x^{7} + 1\right)}\, dx"," ",0,"Integral(x**5*(9*a*x**2 - 7*b)/((x**3*(a*x**2 - b))**(1/4)*(a*x**9 - b*x**7 + 1)), x)","F",0
3014,0,0,0,0.000000," ","integrate((a*x**4+b)/(a*x**4-b)**(1/2)/(a*x**4+c**2*x**2-b),x)","\int \frac{a x^{4} + b}{\sqrt{a x^{4} - b} \left(a x^{4} - b + c^{2} x^{2}\right)}\, dx"," ",0,"Integral((a*x**4 + b)/(sqrt(a*x**4 - b)*(a*x**4 - b + c**2*x**2)), x)","F",0
3015,-1,0,0,0.000000," ","integrate(x*(-a+x)*(a*b-2*b*x+x**2)/(x*(-a+x)*(-b+x)**2)**(1/3)/(-b**2+2*b*x+(a**2*d-1)*x**2-2*a*d*x**3+d*x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3016,0,0,0,0.000000," ","integrate((a*x+b)/(a*x-b)/(a**3*x**3+b**2*x**2)**(1/3),x)","\int \frac{a x + b}{\sqrt[3]{x^{2} \left(a^{3} x + b^{2}\right)} \left(a x - b\right)}\, dx"," ",0,"Integral((a*x + b)/((x**2*(a**3*x + b**2))**(1/3)*(a*x - b)), x)","F",0
3017,0,0,0,0.000000," ","integrate((a**2*x**4+b)**(1/2)*(a*x**2+(a**2*x**4+b)**(1/2))**(1/2)/(a**2*x**4-b),x)","\int \frac{\sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}} \sqrt{a^{2} x^{4} + b}}{a^{2} x^{4} - b}\, dx"," ",0,"Integral(sqrt(a*x**2 + sqrt(a**2*x**4 + b))*sqrt(a**2*x**4 + b)/(a**2*x**4 - b), x)","F",0
3018,0,0,0,0.000000," ","integrate((a**2*x**4+b)**(1/2)*(a*x**2+(a**2*x**4+b)**(1/2))**(1/2)/(a**2*x**4-b),x)","\int \frac{\sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}} \sqrt{a^{2} x^{4} + b}}{a^{2} x^{4} - b}\, dx"," ",0,"Integral(sqrt(a*x**2 + sqrt(a**2*x**4 + b))*sqrt(a**2*x**4 + b)/(a**2*x**4 - b), x)","F",0
3019,0,0,0,0.000000," ","integrate(1/((-a+x)*(-b+x)**2)**(1/3)/(b-a*d+(-1+d)*x),x)","\int \frac{1}{\sqrt[3]{\left(- a + x\right) \left(- b + x\right)^{2}} \left(- a d + b + d x - x\right)}\, dx"," ",0,"Integral(1/(((-a + x)*(-b + x)**2)**(1/3)*(-a*d + b + d*x - x)), x)","F",0
3020,-1,0,0,0.000000," ","integrate((2*x**2-3*x-4)*(x**4-x**2+x+1)*((2*x**4-x**2+x+1)/(3*x**4-x**2+x+1))**(1/3)/x**5/(x**4+x**2-x-1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3021,0,0,0,0.000000," ","integrate((a*x-b)/(a*x+b)/(a**3*x**3-b**2*x**2)**(1/3),x)","\int \frac{a x - b}{\sqrt[3]{x^{2} \left(a^{3} x - b^{2}\right)} \left(a x + b\right)}\, dx"," ",0,"Integral((a*x - b)/((x**2*(a**3*x - b**2))**(1/3)*(a*x + b)), x)","F",0
3022,-1,0,0,0.000000," ","integrate((p*x**4-q)*(p*x**4+q)**(1/2)/(c*x**4+b*x**2*(p*x**4+q)+a*(p*x**4+q)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3023,0,0,0,0.000000," ","integrate((x**4+1)*(1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(x**2+1)**(1/2)/(-x**4+1),x)","- \int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{x^{4} \sqrt{x^{2} + 1} - \sqrt{x^{2} + 1}}\, dx - \int \frac{x^{4} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{x^{4} \sqrt{x^{2} + 1} - \sqrt{x^{2} + 1}}\, dx"," ",0,"-Integral(sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/(x**4*sqrt(x**2 + 1) - sqrt(x**2 + 1)), x) - Integral(x**4*sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/(x**4*sqrt(x**2 + 1) - sqrt(x**2 + 1)), x)","F",0
3024,0,0,0,0.000000," ","integrate((x**4+1)*(1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(x**2+1)**(1/2)/(-x**4+1),x)","- \int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{x^{4} \sqrt{x^{2} + 1} - \sqrt{x^{2} + 1}}\, dx - \int \frac{x^{4} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{x^{4} \sqrt{x^{2} + 1} - \sqrt{x^{2} + 1}}\, dx"," ",0,"-Integral(sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/(x**4*sqrt(x**2 + 1) - sqrt(x**2 + 1)), x) - Integral(x**4*sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/(x**4*sqrt(x**2 + 1) - sqrt(x**2 + 1)), x)","F",0
3025,0,0,0,0.000000," ","integrate((x**6-x**3+1)/(x**4+x**2)**(1/3)/(x**6-1),x)","\int \frac{x^{6} - x^{3} + 1}{\sqrt[3]{x^{2} \left(x^{2} + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)}\, dx"," ",0,"Integral((x**6 - x**3 + 1)/((x**2*(x**2 + 1))**(1/3)*(x - 1)*(x + 1)*(x**2 - x + 1)*(x**2 + x + 1)), x)","F",0
3026,0,0,0,0.000000," ","integrate((x**6+x**3+1)/(x**4+x**2)**(1/3)/(x**6-1),x)","\int \frac{x^{6} + x^{3} + 1}{\sqrt[3]{x^{2} \left(x^{2} + 1\right)} \left(x - 1\right) \left(x + 1\right) \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right)}\, dx"," ",0,"Integral((x**6 + x**3 + 1)/((x**2*(x**2 + 1))**(1/3)*(x - 1)*(x + 1)*(x**2 - x + 1)*(x**2 + x + 1)), x)","F",0
3027,0,0,0,0.000000," ","integrate((a**2*x**2-b)**(1/2)*(a*x+(a**2*x**2-b)**(1/2))**(1/2)/(c+(a*x+(a**2*x**2-b)**(1/2))**(1/2))**(1/2),x)","\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}}}}\, dx"," ",0,"Integral(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))), x)","F",0
3028,-1,0,0,0.000000," ","integrate((a*x**8-1)*(a*x**8+1)**(3/4)/(a**2*x**16+x**8+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3029,0,0,0,0.000000," ","integrate((a*x-b)/(a*x+b)/(a**3*x**3+b**2*x**2)**(1/3),x)","\int \frac{a x - b}{\sqrt[3]{x^{2} \left(a^{3} x + b^{2}\right)} \left(a x + b\right)}\, dx"," ",0,"Integral((a*x - b)/((x**2*(a**3*x + b**2))**(1/3)*(a*x + b)), x)","F",0
3030,0,0,0,0.000000," ","integrate(1/(x**2-1)**2/(x+(x**2+1)**(1/2))**(1/2),x)","\int \frac{1}{\left(x - 1\right)^{2} \left(x + 1\right)^{2} \sqrt{x + \sqrt{x^{2} + 1}}}\, dx"," ",0,"Integral(1/((x - 1)**2*(x + 1)**2*sqrt(x + sqrt(x**2 + 1))), x)","F",0
3031,0,0,0,0.000000," ","integrate((a*x**2+b*x+c)**(3/2)/(1-x*(a*x**2+b*x+c)**(1/2)),x)","- \int \frac{c \sqrt{a x^{2} + b x + c}}{x \sqrt{a x^{2} + b x + c} - 1}\, dx - \int \frac{a x^{2} \sqrt{a x^{2} + b x + c}}{x \sqrt{a x^{2} + b x + c} - 1}\, dx - \int \frac{b x \sqrt{a x^{2} + b x + c}}{x \sqrt{a x^{2} + b x + c} - 1}\, dx"," ",0,"-Integral(c*sqrt(a*x**2 + b*x + c)/(x*sqrt(a*x**2 + b*x + c) - 1), x) - Integral(a*x**2*sqrt(a*x**2 + b*x + c)/(x*sqrt(a*x**2 + b*x + c) - 1), x) - Integral(b*x*sqrt(a*x**2 + b*x + c)/(x*sqrt(a*x**2 + b*x + c) - 1), x)","F",0
3032,-1,0,0,0.000000," ","integrate((-b+x)**2/((-a+x)*(-b+x)**2)**(2/3)/(-a**2+b**2*d+2*(-b*d+a)*x+(-1+d)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3033,0,0,0,0.000000," ","integrate((a*x+b)/(a*x-b)/(a**3*x**3-b**2*x**2)**(1/3),x)","\int \frac{a x + b}{\sqrt[3]{x^{2} \left(a^{3} x - b^{2}\right)} \left(a x - b\right)}\, dx"," ",0,"Integral((a*x + b)/((x**2*(a**3*x - b**2))**(1/3)*(a*x - b)), x)","F",0
3034,0,0,0,0.000000," ","integrate(1/(a*x+(a**2*x**2-b)**(1/2))**(1/3)/(c+(a*x+(a**2*x**2-b)**(1/2))**(1/3))**(1/4),x)","\int \frac{1}{\sqrt[4]{c + \sqrt[3]{a x + \sqrt{a^{2} x^{2} - b}}} \sqrt[3]{a x + \sqrt{a^{2} x^{2} - b}}}\, dx"," ",0,"Integral(1/((c + (a*x + sqrt(a**2*x**2 - b))**(1/3))**(1/4)*(a*x + sqrt(a**2*x**2 - b))**(1/3)), x)","F",0
3035,-1,0,0,0.000000," ","integrate(x**4/(a*x**4-b)**(1/4)/(x**8+2*a*x**4-b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3036,0,0,0,0.000000," ","integrate((c*x**2+d)*(a*x+(a**2*x**2-b)**(1/2))**(3/4)/(a**2*x**2-b)**(5/2),x)","\int \frac{\left(a x + \sqrt{a^{2} x^{2} - b}\right)^{\frac{3}{4}} \left(c x^{2} + d\right)}{\left(a^{2} x^{2} - b\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((a*x + sqrt(a**2*x**2 - b))**(3/4)*(c*x**2 + d)/(a**2*x**2 - b)**(5/2), x)","F",0
3037,0,0,0,0.000000," ","integrate(x**2/(x**4+1)/(x**6-x**2)**(1/4),x)","\int \frac{x^{2}}{\sqrt[4]{x^{2} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)} \left(x^{4} + 1\right)}\, dx"," ",0,"Integral(x**2/((x**2*(x - 1)*(x + 1)*(x**2 + 1))**(1/4)*(x**4 + 1)), x)","F",0
3038,0,0,0,0.000000," ","integrate(x**2/(x**4+1)/(x**6-x**2)**(1/4),x)","\int \frac{x^{2}}{\sqrt[4]{x^{2} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)} \left(x^{4} + 1\right)}\, dx"," ",0,"Integral(x**2/((x**2*(x - 1)*(x + 1)*(x**2 + 1))**(1/4)*(x**4 + 1)), x)","F",0
3039,0,0,0,0.000000," ","integrate((x**4-1)/(x**4+1)/(x**6-x**2)**(1/4),x)","\int \frac{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}{\sqrt[4]{x^{2} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)} \left(x^{4} + 1\right)}\, dx"," ",0,"Integral((x - 1)*(x + 1)*(x**2 + 1)/((x**2*(x - 1)*(x + 1)*(x**2 + 1))**(1/4)*(x**4 + 1)), x)","F",0
3040,-1,0,0,0.000000," ","integrate((a*x**4-b)**(3/4)/(x**8+2*a*x**4-b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3041,0,0,0,0.000000," ","integrate((1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(x**2+1)**(5/2),x)","\int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{\left(x^{2} + 1\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/(x**2 + 1)**(5/2), x)","F",0
3042,0,0,0,0.000000," ","integrate((1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(x**2+1)**(5/2),x)","\int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{\left(x^{2} + 1\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/(x**2 + 1)**(5/2), x)","F",0
3043,-1,0,0,0.000000," ","integrate(x**2*(a*x+b)**(1/2)/(x**2-(a*x+b)**(1/2)*(c+(a*x+b)**(1/2))**(1/2)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3044,-1,0,0,0.000000," ","integrate(x**2*(a*x+b)**(1/2)/(x**2-(a*x+b)**(1/2)*(c+(a*x+b)**(1/2))**(1/2)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3045,0,0,0,0.000000," ","integrate((a**2*x**2+b)**(1/2)*(a*x+(a**2*x**2+b)**(1/2))**(1/2)*(c+(a*x+(a**2*x**2+b)**(1/2))**(1/2))**(1/2),x)","\int \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}} \sqrt{a x + \sqrt{a^{2} x^{2} + b}} \sqrt{a^{2} x^{2} + b}\, dx"," ",0,"Integral(sqrt(c + sqrt(a*x + sqrt(a**2*x**2 + b)))*sqrt(a*x + sqrt(a**2*x**2 + b))*sqrt(a**2*x**2 + b), x)","F",0
3046,-1,0,0,0.000000," ","integrate(x**4/(a*x**4+b)**(1/4)/(2*x**8+2*a*x**4+b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3047,-1,0,0,0.000000," ","integrate(x**4*(p*x**4-q)*(p*x**4+q)**(1/2)/(b*x**8+a*(p*x**4+q)**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3048,0,0,0,0.000000," ","integrate(1/(-3*x**10+x**9-9*x**7+3*x**6-9*x**4+3*x**3-3*x+1)**(1/3),x)","\int \frac{1}{\sqrt[3]{- 3 x^{10} + x^{9} - 9 x^{7} + 3 x^{6} - 9 x^{4} + 3 x^{3} - 3 x + 1}}\, dx"," ",0,"Integral((-3*x**10 + x**9 - 9*x**7 + 3*x**6 - 9*x**4 + 3*x**3 - 3*x + 1)**(-1/3), x)","F",0
3049,-1,0,0,0.000000," ","integrate((a*x**4+b)**(3/4)/(2*x**8+2*a*x**4+b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3050,0,0,0,0.000000," ","integrate((a*x**2+(a**2*x**4+b)**(1/2))**(1/2)/(c*x+d)/(a**2*x**4+b)**(1/2),x)","\int \frac{\sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}{\sqrt{a^{2} x^{4} + b} \left(c x + d\right)}\, dx"," ",0,"Integral(sqrt(a*x**2 + sqrt(a**2*x**4 + b))/(sqrt(a**2*x**4 + b)*(c*x + d)), x)","F",0
3051,0,0,0,0.000000," ","integrate((a*x**2+(a**2*x**4+b)**(1/2))**(1/2)/(c*x+d)/(a**2*x**4+b)**(1/2),x)","\int \frac{\sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}{\sqrt{a^{2} x^{4} + b} \left(c x + d\right)}\, dx"," ",0,"Integral(sqrt(a*x**2 + sqrt(a**2*x**4 + b))/(sqrt(a**2*x**4 + b)*(c*x + d)), x)","F",0
3052,0,0,0,0.000000," ","integrate(1/(a*x**2+b*x+c)**(1/2)/(a**3*b**3*x**3+c**3),x)","\int \frac{1}{\left(a b x + c\right) \sqrt{a x^{2} + b x + c} \left(a^{2} b^{2} x^{2} - a b c x + c^{2}\right)}\, dx"," ",0,"Integral(1/((a*b*x + c)*sqrt(a*x**2 + b*x + c)*(a**2*b**2*x**2 - a*b*c*x + c**2)), x)","F",0
3053,0,0,0,0.000000," ","integrate((c*x**2-d)*(a*x**2+(a**2*x**4+b)**(1/2))**(1/2)/(c*x**2+d),x)","\int \frac{\sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}} \left(c x^{2} - d\right)}{c x^{2} + d}\, dx"," ",0,"Integral(sqrt(a*x**2 + sqrt(a**2*x**4 + b))*(c*x**2 - d)/(c*x**2 + d), x)","F",0
3054,0,0,0,0.000000," ","integrate((c*x**2-d)*(a*x**2+(a**2*x**4+b)**(1/2))**(1/2)/(c*x**2+d),x)","\int \frac{\sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}} \left(c x^{2} - d\right)}{c x^{2} + d}\, dx"," ",0,"Integral(sqrt(a*x**2 + sqrt(a**2*x**4 + b))*(c*x**2 - d)/(c*x**2 + d), x)","F",0
3055,-1,0,0,0.000000," ","integrate(((a*x**5+2*a*x**3-x**4+a*x-2*x**2-1)/(a*x**5-2*a*x**3+x**4+a*x-2*x**2+1))**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3056,0,0,0,0.000000," ","integrate((1+x)/(x**2-3)/(x**2+1)**(1/3),x)","\int \frac{x + 1}{\left(x^{2} - 3\right) \sqrt[3]{x^{2} + 1}}\, dx"," ",0,"Integral((x + 1)/((x**2 - 3)*(x**2 + 1)**(1/3)), x)","F",0
3057,0,0,0,0.000000," ","integrate((-x**4+1)/(x**4+1)/(x**5-x**3)**(1/4),x)","- \int \frac{x^{4}}{x^{4} \sqrt[4]{x^{5} - x^{3}} + \sqrt[4]{x^{5} - x^{3}}}\, dx - \int \left(- \frac{1}{x^{4} \sqrt[4]{x^{5} - x^{3}} + \sqrt[4]{x^{5} - x^{3}}}\right)\, dx"," ",0,"-Integral(x**4/(x**4*(x**5 - x**3)**(1/4) + (x**5 - x**3)**(1/4)), x) - Integral(-1/(x**4*(x**5 - x**3)**(1/4) + (x**5 - x**3)**(1/4)), x)","F",0
3058,-1,0,0,0.000000," ","integrate((x**8-1)/(x**6-x**2)**(1/4)/(x**8+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3059,-1,0,0,0.000000," ","integrate((x**8-1)/(x**6-x**2)**(1/4)/(x**8+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3060,0,0,0,0.000000," ","integrate((a*x+(a**2*x**2-b)**(1/2))**(1/3)/(c+(a*x+(a**2*x**2-b)**(1/2))**(1/3))**(1/4),x)","\int \frac{\sqrt[3]{a x + \sqrt{a^{2} x^{2} - b}}}{\sqrt[4]{c + \sqrt[3]{a x + \sqrt{a^{2} x^{2} - b}}}}\, dx"," ",0,"Integral((a*x + sqrt(a**2*x**2 - b))**(1/3)/(c + (a*x + sqrt(a**2*x**2 - b))**(1/3))**(1/4), x)","F",0
3061,0,0,0,0.000000," ","integrate((a*x+b**2)/(a*x-b**2)/(b+(a*x**2+b**2)**(1/2))**(1/2),x)","\int \frac{a x + b^{2}}{\sqrt{b + \sqrt{a x^{2} + b^{2}}} \left(a x - b^{2}\right)}\, dx"," ",0,"Integral((a*x + b**2)/(sqrt(b + sqrt(a*x**2 + b**2))*(a*x - b**2)), x)","F",0
3062,-1,0,0,0.000000," ","integrate((a*x**4-b)**(3/4)/(2*x**8-2*a*x**4+b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3063,0,0,0,0.000000," ","integrate((c*x**2-d)/(c*x**2+d)/(a*x**2+(a**2*x**4+b)**(1/2))**(1/2),x)","\int \frac{c x^{2} - d}{\sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}} \left(c x^{2} + d\right)}\, dx"," ",0,"Integral((c*x**2 - d)/(sqrt(a*x**2 + sqrt(a**2*x**4 + b))*(c*x**2 + d)), x)","F",0
3064,0,0,0,0.000000," ","integrate((c*x**2-d)/(c*x**2+d)/(a*x**2+(a**2*x**4+b)**(1/2))**(1/2),x)","\int \frac{c x^{2} - d}{\sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}} \left(c x^{2} + d\right)}\, dx"," ",0,"Integral((c*x**2 - d)/(sqrt(a*x**2 + sqrt(a**2*x**4 + b))*(c*x**2 + d)), x)","F",0
3065,-1,0,0,0.000000," ","integrate(x**4/(a*x**4-b)**(1/4)/(2*x**8-2*a*x**4+b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3066,0,0,0,0.000000," ","integrate(x**3*(6*a*x-5*b)/(a*x**2-b*x)**(1/4)/(a*x**6-b*x**5+c),x)","\int \frac{x^{3} \left(6 a x - 5 b\right)}{\sqrt[4]{x \left(a x - b\right)} \left(a x^{6} - b x^{5} + c\right)}\, dx"," ",0,"Integral(x**3*(6*a*x - 5*b)/((x*(a*x - b))**(1/4)*(a*x**6 - b*x**5 + c)), x)","F",0
3067,-1,0,0,0.000000," ","integrate((-a+x)/((-a+x)*(-b+x)**2)**(1/3)/(-b**2+a**2*d+2*(-a*d+b)*x+(-1+d)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3068,-1,0,0,0.000000," ","integrate((2*x**8-a*x**4+b)/(a*x**4+b)**(1/4)/(x**8-2*a*x**4-b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3069,0,0,0,0.000000," ","integrate((a**2*x**2-b)**(1/2)/(c+(a*x+(a**2*x**2-b)**(1/2))**(1/2))**(1/2),x)","\int \frac{\sqrt{a^{2} x^{2} - b}}{\sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} - b}}}}\, dx"," ",0,"Integral(sqrt(a**2*x**2 - b)/sqrt(c + sqrt(a*x + sqrt(a**2*x**2 - b))), x)","F",0
3070,0,0,0,0.000000," ","integrate((1+x)/(8*x**8+84*x**7+338*x**6+679*x**5+825*x**4+784*x**3+522*x**2+189*x+27)**(1/3),x)","\int \frac{x + 1}{\sqrt[3]{\left(x + 3\right)^{3} \left(2 x + 1\right)^{3} \left(x^{2} + 1\right)}}\, dx"," ",0,"Integral((x + 1)/((x + 3)**3*(2*x + 1)**3*(x**2 + 1))**(1/3), x)","F",0
3071,0,0,0,0.000000," ","integrate((k**2*x**4-1)/((-x**2+1)*(-k**2*x**2+1))**(1/2)/(k**2*x**4+1),x)","\int \frac{\left(k x^{2} - 1\right) \left(k x^{2} + 1\right)}{\sqrt{\left(x - 1\right) \left(x + 1\right) \left(k x - 1\right) \left(k x + 1\right)} \left(k^{2} x^{4} + 1\right)}\, dx"," ",0,"Integral((k*x**2 - 1)*(k*x**2 + 1)/(sqrt((x - 1)*(x + 1)*(k*x - 1)*(k*x + 1))*(k**2*x**4 + 1)), x)","F",0
3072,0,0,0,0.000000," ","integrate((1+2*x)/(x**2-1)**(1/3)/(x**2+3),x)","\int \frac{2 x + 1}{\sqrt[3]{\left(x - 1\right) \left(x + 1\right)} \left(x^{2} + 3\right)}\, dx"," ",0,"Integral((2*x + 1)/(((x - 1)*(x + 1))**(1/3)*(x**2 + 3)), x)","F",0
3073,0,0,0,0.000000," ","integrate(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}}}}}\, dx"," ",0,"Integral(x/sqrt(1 - sqrt(1 - sqrt(1 - 1/x))), x)","F",0
3074,0,0,0,0.000000," ","integrate((x**6-x**2)**(1/4)*(x**8-x**4+1)/x**4/(x**4+1),x)","\int \frac{\sqrt[4]{x^{2} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)} \left(x^{8} - x^{4} + 1\right)}{x^{4} \left(x^{4} + 1\right)}\, dx"," ",0,"Integral((x**2*(x - 1)*(x + 1)*(x**2 + 1))**(1/4)*(x**8 - x**4 + 1)/(x**4*(x**4 + 1)), x)","F",0
3075,0,0,0,0.000000," ","integrate((x**6-x**2)**(1/4)*(x**8-x**4+1)/x**4/(x**4+1),x)","\int \frac{\sqrt[4]{x^{2} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)} \left(x^{8} - x^{4} + 1\right)}{x^{4} \left(x^{4} + 1\right)}\, dx"," ",0,"Integral((x**2*(x - 1)*(x + 1)*(x**2 + 1))**(1/4)*(x**8 - x**4 + 1)/(x**4*(x**4 + 1)), x)","F",0
3076,0,0,0,0.000000," ","integrate((x**6-x**2)**(1/4)*(x**8+x**4+1)/x**4/(x**4+1),x)","\int \frac{\sqrt[4]{x^{2} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)} \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right) \left(x^{4} - x^{2} + 1\right)}{x^{4} \left(x^{4} + 1\right)}\, dx"," ",0,"Integral((x**2*(x - 1)*(x + 1)*(x**2 + 1))**(1/4)*(x**2 - x + 1)*(x**2 + x + 1)*(x**4 - x**2 + 1)/(x**4*(x**4 + 1)), x)","F",0
3077,0,0,0,0.000000," ","integrate((x**6-x**2)**(1/4)*(x**8+x**4+1)/x**4/(x**4+1),x)","\int \frac{\sqrt[4]{x^{2} \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)} \left(x^{2} - x + 1\right) \left(x^{2} + x + 1\right) \left(x^{4} - x^{2} + 1\right)}{x^{4} \left(x^{4} + 1\right)}\, dx"," ",0,"Integral((x**2*(x - 1)*(x + 1)*(x**2 + 1))**(1/4)*(x**2 - x + 1)*(x**2 + x + 1)*(x**4 - x**2 + 1)/(x**4*(x**4 + 1)), x)","F",0
3078,0,0,0,0.000000," ","integrate((a**3*x**3+b**2*x**2)**(1/3)/(a*x-b),x)","\int \frac{\sqrt[3]{x^{2} \left(a^{3} x + b^{2}\right)}}{a x - b}\, dx"," ",0,"Integral((x**2*(a**3*x + b**2))**(1/3)/(a*x - b), x)","F",0
3079,0,0,0,0.000000," ","integrate((a**2*x**2-b)**(1/2)/(a*x+(a**2*x**2-b)**(1/2))**(1/2)/(c+(a*x+(a**2*x**2-b)**(1/2))**(1/2))**(1/2),x)","\int \frac{\sqrt{a^{2} x^{2} - b}}{\sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} - b}}} \sqrt{a x + \sqrt{a^{2} x^{2} - b}}}\, dx"," ",0,"Integral(sqrt(a**2*x**2 - b)/(sqrt(c + sqrt(a*x + sqrt(a**2*x**2 - b)))*sqrt(a*x + sqrt(a**2*x**2 - b))), x)","F",0
3080,-1,0,0,0.000000," ","integrate((x**2-3)*(x**6+x**4-2*x**2+1)/x**10/((b*x**3+a*x**2-a)/(d*x**3+c*x**2-c))**(1/4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3081,0,0,0,0.000000," ","integrate((x**4+1)*(x+(x**2+1)**(1/2))**(1/2)*(1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(-x**4+1),x)","- \int \frac{\sqrt{x + \sqrt{x^{2} + 1}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{x^{4} - 1}\, dx - \int \frac{x^{4} \sqrt{x + \sqrt{x^{2} + 1}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{x^{4} - 1}\, dx"," ",0,"-Integral(sqrt(x + sqrt(x**2 + 1))*sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/(x**4 - 1), x) - Integral(x**4*sqrt(x + sqrt(x**2 + 1))*sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/(x**4 - 1), x)","F",0
3082,0,0,0,0.000000," ","integrate((x**4+1)*(x+(x**2+1)**(1/2))**(1/2)*(1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(-x**4+1),x)","- \int \frac{\sqrt{x + \sqrt{x^{2} + 1}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{x^{4} - 1}\, dx - \int \frac{x^{4} \sqrt{x + \sqrt{x^{2} + 1}} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{x^{4} - 1}\, dx"," ",0,"-Integral(sqrt(x + sqrt(x**2 + 1))*sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/(x**4 - 1), x) - Integral(x**4*sqrt(x + sqrt(x**2 + 1))*sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/(x**4 - 1), x)","F",0
3083,0,0,0,0.000000," ","integrate((a**2*x**2+b)**(1/2)*(c+(a*x+(a**2*x**2+b)**(1/2))**(1/2))**(1/2),x)","\int \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}} \sqrt{a^{2} x^{2} + b}\, dx"," ",0,"Integral(sqrt(c + sqrt(a*x + sqrt(a**2*x**2 + b)))*sqrt(a**2*x**2 + b), x)","F",0
3084,0,0,0,0.000000," ","integrate(((x**6-13*x**5+65*x**4-150*x**3+135*x**2+27*x-81)**3)**(1/2)/(-1+x),x)","\int \frac{\sqrt{\left(x - 3\right)^{12} \left(x^{2} - x - 1\right)^{3}}}{x - 1}\, dx"," ",0,"Integral(sqrt((x - 3)**12*(x**2 - x - 1)**3)/(x - 1), x)","F",0
3085,-1,0,0,0.000000," ","integrate((x**4+x**2+1)**2*(x**2+(x**4+1)**(1/2))**(1/2)/(x**4+1)**(1/2)/(x**4+x**2-1)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3086,-1,0,0,0.000000," ","integrate((x**4+x**2+1)**2*(x**2+(x**4+1)**(1/2))**(1/2)/(x**4+1)**(1/2)/(x**4+x**2-1)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3087,0,0,0,0.000000," ","integrate((p*x**4-q)*(p*x**4+q)**(1/2)/x**2/(a*p*x**4+b*x**2+a*q),x)","\int \frac{\left(p x^{4} - q\right) \sqrt{p x^{4} + q}}{x^{2} \left(a p x^{4} + a q + b x^{2}\right)}\, dx"," ",0,"Integral((p*x**4 - q)*sqrt(p*x**4 + q)/(x**2*(a*p*x**4 + a*q + b*x**2)), x)","F",0
3088,0,0,0,0.000000," ","integrate((a**3*x**3+b**2*x**2)**(1/3)/(a*x+b),x)","\int \frac{\sqrt[3]{x^{2} \left(a^{3} x + b^{2}\right)}}{a x + b}\, dx"," ",0,"Integral((x**2*(a**3*x + b**2))**(1/3)/(a*x + b), x)","F",0
3089,0,0,0,0.000000," ","integrate((a**2*x**2-b)**(3/2)*(a*x+(a**2*x**2-b)**(1/2))**(1/4)/x,x)","\int \frac{\sqrt[4]{a x + \sqrt{a^{2} x^{2} - b}} \left(a^{2} x^{2} - b\right)^{\frac{3}{2}}}{x}\, dx"," ",0,"Integral((a*x + sqrt(a**2*x**2 - b))**(1/4)*(a**2*x**2 - b)**(3/2)/x, x)","F",0
3090,0,0,0,0.000000," ","integrate((a*x**2+b**2)*(b+(a*x**2+b**2)**(1/2))**(1/2)/(a*x**2-b**2),x)","\int \frac{\sqrt{b + \sqrt{a x^{2} + b^{2}}} \left(a x^{2} + b^{2}\right)}{a x^{2} - b^{2}}\, dx"," ",0,"Integral(sqrt(b + sqrt(a*x**2 + b**2))*(a*x**2 + b**2)/(a*x**2 - b**2), x)","F",0
3091,0,0,0,0.000000," ","integrate((c*x**4+d)/x/(a**2*x**2-b)**(1/2)/(a*x+(a**2*x**2-b)**(1/2))**(1/4),x)","\int \frac{c x^{4} + d}{x \sqrt[4]{a x + \sqrt{a^{2} x^{2} - b}} \sqrt{a^{2} x^{2} - b}}\, dx"," ",0,"Integral((c*x**4 + d)/(x*(a*x + sqrt(a**2*x**2 - b))**(1/4)*sqrt(a**2*x**2 - b)), x)","F",0
3092,0,0,0,0.000000," ","integrate((a**2*x**2-b)**(3/2)*(a*x+(a**2*x**2-b)**(1/2))**(1/4)/x**2,x)","\int \frac{\sqrt[4]{a x + \sqrt{a^{2} x^{2} - b}} \left(a^{2} x^{2} - b\right)^{\frac{3}{2}}}{x^{2}}\, dx"," ",0,"Integral((a*x + sqrt(a**2*x**2 - b))**(1/4)*(a**2*x**2 - b)**(3/2)/x**2, x)","F",0
3093,-1,0,0,0.000000," ","integrate((b-x)/((-a+x)*(-b+x)**2)**(1/3)/(a**2-b**2*d-2*(-b*d+a)*x+(1-d)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3094,-1,0,0,0.000000," ","integrate((-b+x)/((-a+x)*(-b+x)**2)**(1/3)/(-a**2+b**2*d+2*(-b*d+a)*x+(-1+d)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3095,0,0,0,0.000000," ","integrate((a*x**2+b**2)/(a*x**2-b**2)/(b+(a*x**2+b**2)**(1/2))**(1/2),x)","\int \frac{a x^{2} + b^{2}}{\sqrt{b + \sqrt{a x^{2} + b^{2}}} \left(a x^{2} - b^{2}\right)}\, dx"," ",0,"Integral((a*x**2 + b**2)/(sqrt(b + sqrt(a*x**2 + b**2))*(a*x**2 - b**2)), x)","F",0
3096,0,0,0,0.000000," ","integrate(1/((-a+x)*(-b+x)**2)**(1/3)/(a-b*d+(-1+d)*x),x)","\int \frac{1}{\sqrt[3]{\left(- a + x\right) \left(- b + x\right)^{2}} \left(a - b d + d x - x\right)}\, dx"," ",0,"Integral(1/(((-a + x)*(-b + x)**2)**(1/3)*(a - b*d + d*x - x)), x)","F",0
3097,0,0,0,0.000000," ","integrate((a**2*x**4+b)**(1/2)*(a*x**2+(a**2*x**4+b)**(1/2))**(1/2)/(c*x**2+d),x)","\int \frac{\sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}} \sqrt{a^{2} x^{4} + b}}{c x^{2} + d}\, dx"," ",0,"Integral(sqrt(a*x**2 + sqrt(a**2*x**4 + b))*sqrt(a**2*x**4 + b)/(c*x**2 + d), x)","F",0
3098,0,0,0,0.000000," ","integrate((a**2*x**4+b)**(1/2)*(a*x**2+(a**2*x**4+b)**(1/2))**(1/2)/(c*x**2+d),x)","\int \frac{\sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}} \sqrt{a^{2} x^{4} + b}}{c x^{2} + d}\, dx"," ",0,"Integral(sqrt(a*x**2 + sqrt(a**2*x**4 + b))*sqrt(a**2*x**4 + b)/(c*x**2 + d), x)","F",0
3099,0,0,0,0.000000," ","integrate((x**2+(x**4+1)**(1/2))**(1/2)/(a*x+1),x)","\int \frac{\sqrt{x^{2} + \sqrt{x^{4} + 1}}}{a x + 1}\, dx"," ",0,"Integral(sqrt(x**2 + sqrt(x**4 + 1))/(a*x + 1), x)","F",0
3100,0,0,0,0.000000," ","integrate(1/(_C4+((_C1*x+_C0)/(_C3*x+_C2))**(1/2)*_C5)**(1/2)/(_C7*x+_C6),x)","\int \frac{1}{\sqrt{_C4 + _C5 \sqrt{\frac{_C0}{_C2 + _C3 x} + \frac{_C1 x}{_C2 + _C3 x}}} \left(_C6 + _C7 x\right)}\, dx"," ",0,"Integral(1/(sqrt(_C4 + _C5*sqrt(_C0/(_C2 + _C3*x) + _C1*x/(_C2 + _C3*x)))*(_C6 + _C7*x)), x)","F",0
3101,-1,0,0,0.000000," ","integrate((-b+x)/((-a+x)*(-b+x)**2)**(1/3)/(-b**2+a**2*d+2*(-a*d+b)*x+(-1+d)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3102,0,0,0,0.000000," ","integrate((a*x**2+b**2)**2/(a*x**2-b**2)**2/(b+(a*x**2+b**2)**(1/2))**(1/2),x)","\int \frac{\left(a x^{2} + b^{2}\right)^{2}}{\sqrt{b + \sqrt{a x^{2} + b^{2}}} \left(a x^{2} - b^{2}\right)^{2}}\, dx"," ",0,"Integral((a*x**2 + b**2)**2/(sqrt(b + sqrt(a*x**2 + b**2))*(a*x**2 - b**2)**2), x)","F",0
3103,0,0,0,0.000000," ","integrate((a*x+(a*x-b)**(1/2))**(1/2)/(a*x-b)**(1/2)/(a**2*x**2+1),x)","\int \frac{\sqrt{a x + \sqrt{a x - b}}}{\sqrt{a x - b} \left(a^{2} x^{2} + 1\right)}\, dx"," ",0,"Integral(sqrt(a*x + sqrt(a*x - b))/(sqrt(a*x - b)*(a**2*x**2 + 1)), x)","F",0
3104,0,0,0,0.000000," ","integrate((x**4+1)*(1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(-x**4+1),x)","- \int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{x^{4} - 1}\, dx - \int \frac{x^{4} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{x^{4} - 1}\, dx"," ",0,"-Integral(sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/(x**4 - 1), x) - Integral(x**4*sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/(x**4 - 1), x)","F",0
3105,0,0,0,0.000000," ","integrate((x**4+1)*(1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(-x**4+1),x)","- \int \frac{\sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{x^{4} - 1}\, dx - \int \frac{x^{4} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{x^{4} - 1}\, dx"," ",0,"-Integral(sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/(x**4 - 1), x) - Integral(x**4*sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/(x**4 - 1), x)","F",0
3106,-1,0,0,0.000000," ","integrate((x**2+1)**(5/2)*(1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(-x**2+1)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3107,-1,0,0,0.000000," ","integrate((x**2+1)**(5/2)*(1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(-x**2+1)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3108,0,0,0,0.000000," ","integrate((x**4+1)**(1/2)/(1+x)**3/(x**2+(x**4+1)**(1/2))**(1/2),x)","\int \frac{\sqrt{x^{4} + 1}}{\left(x + 1\right)^{3} \sqrt{x^{2} + \sqrt{x^{4} + 1}}}\, dx"," ",0,"Integral(sqrt(x**4 + 1)/((x + 1)**3*sqrt(x**2 + sqrt(x**4 + 1))), x)","F",0
3109,0,0,0,0.000000," ","integrate(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}}}}}\, dx"," ",0,"Integral(x**2/sqrt(1 - sqrt(1 - sqrt(1 - 1/x))), x)","F",0
3110,-1,0,0,0.000000," ","integrate((x**2+1)*(a*x**2-b*x-a)/x**2/(c*x**2+d*x-c)/((-_C0*x+x**2-1)/(-_C1*x+x**2-1))**(1/3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3111,0,0,0,0.000000," ","integrate((x**2+1)**2*(1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(-x**2+1)**2/(x+(x**2+1)**(1/2))**(1/2),x)","\int \frac{\left(x^{2} + 1\right)^{2} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{\left(x - 1\right)^{2} \left(x + 1\right)^{2} \sqrt{x + \sqrt{x^{2} + 1}}}\, dx"," ",0,"Integral((x**2 + 1)**2*sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/((x - 1)**2*(x + 1)**2*sqrt(x + sqrt(x**2 + 1))), x)","F",0
3112,0,0,0,0.000000," ","integrate((x**2+1)**2*(1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(-x**2+1)**2/(x+(x**2+1)**(1/2))**(1/2),x)","\int \frac{\left(x^{2} + 1\right)^{2} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{\left(x - 1\right)^{2} \left(x + 1\right)^{2} \sqrt{x + \sqrt{x^{2} + 1}}}\, dx"," ",0,"Integral((x**2 + 1)**2*sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/((x - 1)**2*(x + 1)**2*sqrt(x + sqrt(x**2 + 1))), x)","F",0
3113,0,0,0,0.000000," ","integrate((x**2+1)**2*(x+(x**2+1)**(1/2))**(1/2)*(1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(-x**2+1)**2,x)","\int \frac{\sqrt{x + \sqrt{x^{2} + 1}} \left(x^{2} + 1\right)^{2} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{\left(x - 1\right)^{2} \left(x + 1\right)^{2}}\, dx"," ",0,"Integral(sqrt(x + sqrt(x**2 + 1))*(x**2 + 1)**2*sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/((x - 1)**2*(x + 1)**2), x)","F",0
3114,0,0,0,0.000000," ","integrate((x**2+1)**2*(x+(x**2+1)**(1/2))**(1/2)*(1+(x+(x**2+1)**(1/2))**(1/2))**(1/2)/(-x**2+1)**2,x)","\int \frac{\sqrt{x + \sqrt{x^{2} + 1}} \left(x^{2} + 1\right)^{2} \sqrt{\sqrt{x + \sqrt{x^{2} + 1}} + 1}}{\left(x - 1\right)^{2} \left(x + 1\right)^{2}}\, dx"," ",0,"Integral(sqrt(x + sqrt(x**2 + 1))*(x**2 + 1)**2*sqrt(sqrt(x + sqrt(x**2 + 1)) + 1)/((x - 1)**2*(x + 1)**2), x)","F",0
3115,0,0,0,0.000000," ","integrate(x**2/(1+(a*x+(a**2*x**2-b)**(1/2))**(1/2))**(1/2),x)","\int \frac{x^{2}}{\sqrt{\sqrt{a x + \sqrt{a^{2} x^{2} - b}} + 1}}\, dx"," ",0,"Integral(x**2/sqrt(sqrt(a*x + sqrt(a**2*x**2 - b)) + 1), x)","F",0
3116,0,0,0,0.000000," ","integrate((x/(a*x**7-3*a*x**5+x**6+3*a*x**3-3*x**4-a*x+3*x**2-1))**(1/3),x)","\int \sqrt[3]{\frac{x}{a x^{7} - 3 a x^{5} + 3 a x^{3} - a x + x^{6} - 3 x^{4} + 3 x^{2} - 1}}\, dx"," ",0,"Integral((x/(a*x**7 - 3*a*x**5 + 3*a*x**3 - a*x + x**6 - 3*x**4 + 3*x**2 - 1))**(1/3), x)","F",0
3117,0,0,0,0.000000," ","integrate((a**2*x**2-b)**(1/2)*(a*x+(a**2*x**2-b)**(1/2))**(1/3)/(c+(a*x+(a**2*x**2-b)**(1/2))**(1/3))**(1/4),x)","\int \frac{\sqrt[3]{a x + \sqrt{a^{2} x^{2} - b}} \sqrt{a^{2} x^{2} - b}}{\sqrt[4]{c + \sqrt[3]{a x + \sqrt{a^{2} x^{2} - b}}}}\, dx"," ",0,"Integral((a*x + sqrt(a**2*x**2 - b))**(1/3)*sqrt(a**2*x**2 - b)/(c + (a*x + sqrt(a**2*x**2 - b))**(1/3))**(1/4), x)","F",0
3118,0,0,0,0.000000," ","integrate((a*x+(a**2*x**2-b)**(1/2))**(1/6)/x**3/(a**2*x**2-b)**(1/2),x)","\int \frac{\sqrt[6]{a x + \sqrt{a^{2} x^{2} - b}}}{x^{3} \sqrt{a^{2} x^{2} - b}}\, dx"," ",0,"Integral((a*x + sqrt(a**2*x**2 - b))**(1/6)/(x**3*sqrt(a**2*x**2 - b)), x)","F",0
3119,-1,0,0,0.000000," ","integrate(x**2*(_C3*x**2-_C4)*((_C3*x**2+_C0*x+_C4)/(_C3*x**2+_C1*x+_C4))**(1/4)/(_C3*x**2+_C4-x)/(_C3*x**2+_C4+x)/(_C3**2*x**4+2*_C3*_C4*x**2+_C4**2+x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3120,0,0,0,0.000000," ","integrate(1/(a*x+(a**2*x**2-b)**(1/2))**(1/4)/(c+(a*x+(a**2*x**2-b)**(1/2))**(1/4))**(1/3),x)","\int \frac{1}{\sqrt[3]{c + \sqrt[4]{a x + \sqrt{a^{2} x^{2} - b}}} \sqrt[4]{a x + \sqrt{a^{2} x^{2} - b}}}\, dx"," ",0,"Integral(1/((c + (a*x + sqrt(a**2*x**2 - b))**(1/4))**(1/3)*(a*x + sqrt(a**2*x**2 - b))**(1/4)), x)","F",0
3121,0,0,0,0.000000," ","integrate(1/(c+(a*x+(a**2*x**2-b)**(1/2))**(1/4))**(1/3),x)","\int \frac{1}{\sqrt[3]{c + \sqrt[4]{a x + \sqrt{a^{2} x^{2} - b}}}}\, dx"," ",0,"Integral((c + (a*x + sqrt(a**2*x**2 - b))**(1/4))**(-1/3), x)","F",0
3122,-1,0,0,0.000000," ","integrate(((a*x**9-4*a*x**7+x**8+6*a*x**5-4*x**6-4*a*x**3+6*x**4+a*x-4*x**2+1)/(b*x-c))**(1/4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3123,0,0,0,0.000000," ","integrate((c+(a*x+(a**2*x**2-b)**(1/2))**(1/4))**(1/3),x)","\int \sqrt[3]{c + \sqrt[4]{a x + \sqrt{a^{2} x^{2} - b}}}\, dx"," ",0,"Integral((c + (a*x + sqrt(a**2*x**2 - b))**(1/4))**(1/3), x)","F",0
3124,0,0,0,0.000000," ","integrate((a*x+(a**2*x**2-b)**(1/2))**(1/4)/x/(a**2*x**2-b)**(3/2),x)","\int \frac{\sqrt[4]{a x + \sqrt{a^{2} x^{2} - b}}}{x \left(a^{2} x^{2} - b\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a*x + sqrt(a**2*x**2 - b))**(1/4)/(x*(a**2*x**2 - b)**(3/2)), x)","F",0
3125,-1,0,0,0.000000," ","integrate(x*(2*_C3*x**3-_C4)/(_C3*x**3+_C4-x)/((_C3*x**3+_C0*x+_C4)/(_C3*x**3+_C1*x+_C4))**(1/3)/(_C3**2*x**6+2*_C3*_C4*x**3+_C3*x**4+_C4**2+_C4*x+x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3126,0,0,0,0.000000," ","integrate((c*x-d)*(a*x+(a**2*x**2+b**2)**(1/2))**(1/2)/(c*x+d),x)","\int \frac{\sqrt{a x + \sqrt{a^{2} x^{2} + b^{2}}} \left(c x - d\right)}{c x + d}\, dx"," ",0,"Integral(sqrt(a*x + sqrt(a**2*x**2 + b**2))*(c*x - d)/(c*x + d), x)","F",0
3127,0,0,0,0.000000," ","integrate((x/(a*x**7-3*a*x**5+x**6+3*a*x**3-3*x**4-a*x+3*x**2-1))**(1/3)/x**3,x)","\int \frac{\sqrt[3]{\frac{x}{a x^{7} - 3 a x^{5} + 3 a x^{3} - a x + x^{6} - 3 x^{4} + 3 x^{2} - 1}}}{x^{3}}\, dx"," ",0,"Integral((x/(a*x**7 - 3*a*x**5 + 3*a*x**3 - a*x + x**6 - 3*x**4 + 3*x**2 - 1))**(1/3)/x**3, x)","F",0
3128,0,0,0,0.000000," ","integrate(1/(a*b*c-(a*b*x+c)**2*(a*x**2+b*x+c)**(1/2)),x)","- \int \frac{1}{a^{2} b^{2} x^{2} \sqrt{a x^{2} + b x + c} + 2 a b c x \sqrt{a x^{2} + b x + c} - a b c + c^{2} \sqrt{a x^{2} + b x + c}}\, dx"," ",0,"-Integral(1/(a**2*b**2*x**2*sqrt(a*x**2 + b*x + c) + 2*a*b*c*x*sqrt(a*x**2 + b*x + c) - a*b*c + c**2*sqrt(a*x**2 + b*x + c)), x)","F",0
3129,0,0,0,0.000000," ","integrate((a*x+(a**2*x**2-b)**(1/2))**(1/4)/x**2/(a**2*x**2-b)**(3/2),x)","\int \frac{\sqrt[4]{a x + \sqrt{a^{2} x^{2} - b}}}{x^{2} \left(a^{2} x^{2} - b\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a*x + sqrt(a**2*x**2 - b))**(1/4)/(x**2*(a**2*x**2 - b)**(3/2)), x)","F",0
3130,-1,0,0,0.000000," ","integrate((x**2-1)*(_C4+((_C1*x+_C0)/(_C3*x+_C2))**(1/2)*_C5)**(1/2)/(x**2+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3131,0,0,0,0.000000," ","integrate((a**2*x**2-b)**(1/2)/(c+(a*x+(a**2*x**2-b)**(1/2))**(1/3))**(1/4),x)","\int \frac{\sqrt{a^{2} x^{2} - b}}{\sqrt[4]{c + \sqrt[3]{a x + \sqrt{a^{2} x^{2} - b}}}}\, dx"," ",0,"Integral(sqrt(a**2*x**2 - b)/(c + (a*x + sqrt(a**2*x**2 - b))**(1/3))**(1/4), x)","F",0
3132,0,0,0,0.000000," ","integrate((a**2*x**2-b)**(1/2)/(a*x+(a**2*x**2-b)**(1/2))**(1/3)/(c+(a*x+(a**2*x**2-b)**(1/2))**(1/3))**(1/4),x)","\int \frac{\sqrt{a^{2} x^{2} - b}}{\sqrt[4]{c + \sqrt[3]{a x + \sqrt{a^{2} x^{2} - b}}} \sqrt[3]{a x + \sqrt{a^{2} x^{2} - b}}}\, dx"," ",0,"Integral(sqrt(a**2*x**2 - b)/((c + (a*x + sqrt(a**2*x**2 - b))**(1/3))**(1/4)*(a*x + sqrt(a**2*x**2 - b))**(1/3)), x)","F",0
3133,-1,0,0,0.000000," ","integrate((a*x**4+b)*(a*x**4-c*x**2-b)**(1/2)/(a*x**4-b)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3134,0,0,0,0.000000," ","integrate((-a-b*c+(1+c)*x)/((-a+x)*(-b+x)**2)**(2/3)/(a-b*d+(-1+d)*x),x)","\int \frac{- a - b c + c x + x}{\left(\left(- a + x\right) \left(- b + x\right)^{2}\right)^{\frac{2}{3}} \left(a - b d + d x - x\right)}\, dx"," ",0,"Integral((-a - b*c + c*x + x)/(((-a + x)*(-b + x)**2)**(2/3)*(a - b*d + d*x - x)), x)","F",0
3135,-1,0,0,0.000000," ","integrate((-a-b*c+(1+c)*x)/(-b+x)/((-a+x)*(-b+x)**2)**(1/3)/(a-b*d+(-1+d)*x),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3136,-1,0,0,0.000000," ","integrate((c*x**2+d)*(a*x+(a**2*x**2-b)**(1/2))**(5/4)/x/(a**2*x**2-b)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3137,-1,0,0,0.000000," ","integrate(1/(_C4+((_C1*x+_C0)/(_C3*x+_C2))**(1/2)*_C5)**(1/2)/(_C7*x+_C6)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3138,-1,0,0,0.000000," ","integrate(((-b*x+1)/(c+x))**(1/6)*(d*x**2+1)/(b*x+1)/(c*x+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3139,0,0,0,0.000000," ","integrate((a**2*x**2-b)**(1/2)*(a*x+(a**2*x**2-b)**(1/2))**(3/4)/(c+(a*x+(a**2*x**2-b)**(1/2))**(1/4))**(2/3),x)","\int \frac{\left(a x + \sqrt{a^{2} x^{2} - b}\right)^{\frac{3}{4}} \sqrt{a^{2} x^{2} - b}}{\left(c + \sqrt[4]{a x + \sqrt{a^{2} x^{2} - b}}\right)^{\frac{2}{3}}}\, dx"," ",0,"Integral((a*x + sqrt(a**2*x**2 - b))**(3/4)*sqrt(a**2*x**2 - b)/(c + (a*x + sqrt(a**2*x**2 - b))**(1/4))**(2/3), x)","F",0
3140,0,0,0,0.000000," ","integrate((_C7*x+_C6)/(_C4+((_C1*x+_C0)/(_C3*x+_C2))**(1/2)*_C5)**(1/2),x)","\int \frac{_C6 + _C7 x}{\sqrt{_C4 + _C5 \sqrt{\frac{_C0}{_C2 + _C3 x} + \frac{_C1 x}{_C2 + _C3 x}}}}\, dx"," ",0,"Integral((_C6 + _C7*x)/sqrt(_C4 + _C5*sqrt(_C0/(_C2 + _C3*x) + _C1*x/(_C2 + _C3*x))), x)","F",0
3141,0,0,0,0.000000," ","integrate((a**2*x**2-b)**(1/2)/(c+(a*x+(a**2*x**2-b)**(1/2))**(1/4))**(2/3),x)","\int \frac{\sqrt{a^{2} x^{2} - b}}{\left(c + \sqrt[4]{a x + \sqrt{a^{2} x^{2} - b}}\right)^{\frac{2}{3}}}\, dx"," ",0,"Integral(sqrt(a**2*x**2 - b)/(c + (a*x + sqrt(a**2*x**2 - b))**(1/4))**(2/3), x)","F",0
3142,0,0,0,0.000000," ","integrate((a**2*x**2+b)**(3/2)*(a*x+(a**2*x**2+b)**(1/2))**(1/2)*(c+(a*x+(a**2*x**2+b)**(1/2))**(1/2))**(1/2),x)","\int \sqrt{c + \sqrt{a x + \sqrt{a^{2} x^{2} + b}}} \sqrt{a x + \sqrt{a^{2} x^{2} + b}} \left(a^{2} x^{2} + b\right)^{\frac{3}{2}}\, dx"," ",0,"Integral(sqrt(c + sqrt(a*x + sqrt(a**2*x**2 + b)))*sqrt(a*x + sqrt(a**2*x**2 + b))*(a**2*x**2 + b)**(3/2), x)","F",0
3143,0,0,0,0.000000," ","integrate((a**2*x**2-b)**(1/2)*(c+(a*x+(a**2*x**2-b)**(1/2))**(1/4))**(1/3)/(a*x+(a**2*x**2-b)**(1/2))**(1/4),x)","\int \frac{\sqrt[3]{c + \sqrt[4]{a x + \sqrt{a^{2} x^{2} - b}}} \sqrt{a^{2} x^{2} - b}}{\sqrt[4]{a x + \sqrt{a^{2} x^{2} - b}}}\, dx"," ",0,"Integral((c + (a*x + sqrt(a**2*x**2 - b))**(1/4))**(1/3)*sqrt(a**2*x**2 - b)/(a*x + sqrt(a**2*x**2 - b))**(1/4), x)","F",0
3144,0,0,0,0.000000," ","integrate((a**2*x**2+a*b*c-b**2*x)/(a*x**2+b*x+c)**(1/2)/(b*x**2+c)**2,x)","\int \frac{a^{2} x^{2} + a b c - b^{2} x}{\left(b x^{2} + c\right)^{2} \sqrt{a x^{2} + b x + c}}\, dx"," ",0,"Integral((a**2*x**2 + a*b*c - b**2*x)/((b*x**2 + c)**2*sqrt(a*x**2 + b*x + c)), x)","F",0
3145,0,0,0,0.000000," ","integrate((a*x**2+b**2)**2*(b+(a*x**2+b**2)**(1/2))**(1/2)/(a*x**2-b**2)**2,x)","\int \frac{\sqrt{b + \sqrt{a x^{2} + b^{2}}} \left(a x^{2} + b^{2}\right)^{2}}{\left(a x^{2} - b^{2}\right)^{2}}\, dx"," ",0,"Integral(sqrt(b + sqrt(a*x**2 + b**2))*(a*x**2 + b**2)**2/(a*x**2 - b**2)**2, x)","F",0
3146,0,0,0,0.000000," ","integrate((a*x**2+(a**2*x**4+b)**(1/2))**(1/2)/(c*x+d)**2/(a**2*x**4+b)**(1/2),x)","\int \frac{\sqrt{a x^{2} + \sqrt{a^{2} x^{4} + b}}}{\sqrt{a^{2} x^{4} + b} \left(c x + d\right)^{2}}\, dx"," ",0,"Integral(sqrt(a*x**2 + sqrt(a**2*x**4 + b))/(sqrt(a**2*x**4 + b)*(c*x + d)**2), x)","F",0
3147,-1,0,0,0.000000," ","integrate((-b-a*c+(1+c)*x)/(-a+x)/((-a+x)*(-b+x)**2)**(1/3)/(b-a*d+(-1+d)*x),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3148,-1,0,0,0.000000," ","integrate((-a-b*c+(1+c)*x)/((-a+x)*(-b+x)**2)**(1/3)/(-a**2+b**2*d+2*(-b*d+a)*x+(-1+d)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3149,-1,0,0,0.000000," ","integrate((-b-a*c+(1+c)*x)/((-a+x)*(-b+x)**2)**(1/3)/(-b**2+a**2*d+2*(-a*d+b)*x+(-1+d)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3150,-1,0,0,0.000000," ","integrate((_C9*x+_C8)/(_C4+((_C1*x+_C0)/(_C3*x+_C2))**(1/2)*_C5)**(1/2)/(_C7*x+_C6),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3151,-1,0,0,0.000000," ","integrate((-b+x)*(-a-b*c+(1+c)*x)/((-a+x)*(-b+x)**2)**(2/3)/(-a**2+b**2*d+2*(-b*d+a)*x+(-1+d)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3152,-1,0,0,0.000000," ","integrate((-b+x)*(-b-a*c+(1+c)*x)/((-a+x)*(-b+x)**2)**(2/3)/(-b**2+a**2*d+2*(-a*d+b)*x+(-1+d)*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3153,-1,0,0,0.000000," ","integrate((x**2-c*x**2*((a*x+b)/(c*x+d))**(3/2))/(a-b*((a*x+b)/(c*x+d))**(1/2)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3154,0,0,0,0.000000," ","integrate((_C7*x+_C6)**2/(_C4+((_C1*x+_C0)/(_C3*x+_C2))**(1/2)*_C5)**(1/2),x)","\int \frac{\left(_C6 + _C7 x\right)^{2}}{\sqrt{_C4 + _C5 \sqrt{\frac{_C0}{_C2 + _C3 x} + \frac{_C1 x}{_C2 + _C3 x}}}}\, dx"," ",0,"Integral((_C6 + _C7*x)**2/sqrt(_C4 + _C5*sqrt(_C0/(_C2 + _C3*x) + _C1*x/(_C2 + _C3*x))), x)","F",0
