1,1,102,0,7.755057," ","integrate(asin(x)*ln(x),x)","x \log{\left(x \right)} \operatorname{asin}{\left(x \right)} - x \operatorname{asin}{\left(x \right)} + \sqrt{1 - x^{2}} \log{\left(x \right)} - \sqrt{1 - x^{2}} - \begin{cases} - \frac{x}{\sqrt{-1 + \frac{1}{x^{2}}}} - \operatorname{acosh}{\left(\frac{1}{x} \right)} + \frac{1}{x \sqrt{-1 + \frac{1}{x^{2}}}} & \text{for}\: \frac{1}{\left|{x^{2}}\right|} > 1 \\\frac{i x}{\sqrt{1 - \frac{1}{x^{2}}}} + i \operatorname{asin}{\left(\frac{1}{x} \right)} - \frac{i}{x \sqrt{1 - \frac{1}{x^{2}}}} & \text{otherwise} \end{cases}"," ",0,"x*log(x)*asin(x) - x*asin(x) + sqrt(1 - x**2)*log(x) - sqrt(1 - x**2) - Piecewise((-x/sqrt(-1 + x**(-2)) - acosh(1/x) + 1/(x*sqrt(-1 + x**(-2))), 1/Abs(x**2) > 1), (I*x/sqrt(1 - 1/x**2) + I*asin(1/x) - I/(x*sqrt(1 - 1/x**2)), True))","A",0
2,1,12,0,0.210383," ","integrate(x*asin(x)/(-x**2+1)**(1/2),x)","x - \sqrt{1 - x^{2}} \operatorname{asin}{\left(x \right)}"," ",0,"x - sqrt(1 - x**2)*asin(x)","A",0
3,0,0,0,0.000000," ","integrate(-asin(x**(1/2)-(1+x)**(1/2)),x)","- \int \operatorname{asin}{\left(\sqrt{x} - \sqrt{x + 1} \right)}\, dx"," ",0,"-Integral(asin(sqrt(x) - sqrt(x + 1)), x)","F",0
4,-1,0,0,0.000000," ","integrate(ln(1+x*(x**2+1)**(1/2)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
5,-1,0,0,0.000000," ","integrate(cos(x)**2/(1+cos(x)**2+cos(x)**4)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
6,0,0,0,0.000000," ","integrate((1+tan(x)**4)**(1/2)*tan(x),x)","\int \sqrt{\tan^{4}{\left(x \right)} + 1} \tan{\left(x \right)}\, dx"," ",0,"Integral(sqrt(tan(x)**4 + 1)*tan(x), x)","F",0
7,0,0,0,0.000000," ","integrate(tan(x)/(1+sec(x)**3)**(1/2),x)","\int \frac{\tan{\left(x \right)}}{\sqrt{\left(\sec{\left(x \right)} + 1\right) \left(\sec^{2}{\left(x \right)} - \sec{\left(x \right)} + 1\right)}}\, dx"," ",0,"Integral(tan(x)/sqrt((sec(x) + 1)*(sec(x)**2 - sec(x) + 1)), x)","F",0
8,0,0,0,0.000000," ","integrate((2+2*tan(x)+tan(x)**2)**(1/2),x)","\int \sqrt{\tan^{2}{\left(x \right)} + 2 \tan{\left(x \right)} + 2}\, dx"," ",0,"Integral(sqrt(tan(x)**2 + 2*tan(x) + 2), x)","F",0
9,0,0,0,0.000000," ","integrate(atan((-1+sec(x))**(1/2))*sin(x),x)","\int \sin{\left(x \right)} \operatorname{atan}{\left(\sqrt{\sec{\left(x \right)} - 1} \right)}\, dx"," ",0,"Integral(sin(x)*atan(sqrt(sec(x) - 1)), x)","F",0
10,1,56,0,2.168016," ","integrate(exp(asin(x))*x**3/(-x**2+1)**(1/2),x)","\frac{x^{3} e^{\operatorname{asin}{\left(x \right)}}}{10} - \frac{3 x^{2} \sqrt{1 - x^{2}} e^{\operatorname{asin}{\left(x \right)}}}{10} + \frac{3 x e^{\operatorname{asin}{\left(x \right)}}}{10} - \frac{3 \sqrt{1 - x^{2}} e^{\operatorname{asin}{\left(x \right)}}}{10}"," ",0,"x**3*exp(asin(x))/10 - 3*x**2*sqrt(1 - x**2)*exp(asin(x))/10 + 3*x*exp(asin(x))/10 - 3*sqrt(1 - x**2)*exp(asin(x))/10","A",0
11,-1,0,0,0.000000," ","integrate(x*ln(x**2+1)*ln(x+(x**2+1)**(1/2))/(x**2+1)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
12,-1,0,0,0.000000," ","integrate(atan(x+(-x**2+1)**(1/2)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
13,-1,0,0,0.000000," ","integrate(x*atan(x+(-x**2+1)**(1/2))/(-x**2+1)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
14,0,0,0,0.000000," ","integrate(asin(x)/(1+(-x**2+1)**(1/2)),x)","\int \frac{\operatorname{asin}{\left(x \right)}}{\sqrt{1 - x^{2}} + 1}\, dx"," ",0,"Integral(asin(x)/(sqrt(1 - x**2) + 1), x)","F",0
15,-1,0,0,0.000000," ","integrate(ln(x+(x**2+1)**(1/2))/(-x**2+1)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
16,1,78,0,14.500506," ","integrate(asin(x)/(x**2+1)**(3/2),x)","\frac{x \operatorname{asin}{\left(x \right)}}{\sqrt{x^{2} + 1}} + \frac{i {G_{6, 6}^{6, 2}\left(\begin{matrix} \frac{1}{4}, \frac{3}{4} & \frac{1}{2}, \frac{1}{2}, 1, 1 \\0, \frac{1}{4}, \frac{1}{2}, \frac{3}{4}, 1, 0 &  \end{matrix} \middle| {\frac{1}{x^{4}}} \right)}}{8 \pi^{\frac{3}{2}}} - \frac{{G_{6, 6}^{2, 6}\left(\begin{matrix} - \frac{1}{2}, - \frac{1}{4}, 0, \frac{1}{4}, \frac{1}{2}, 1 &  \\- \frac{1}{4}, \frac{1}{4} & - \frac{1}{2}, 0, 0, 0 \end{matrix} \middle| {\frac{e^{- 2 i \pi}}{x^{4}}} \right)}}{8 \pi^{\frac{3}{2}}}"," ",0,"x*asin(x)/sqrt(x**2 + 1) + I*meijerg(((1/4, 3/4), (1/2, 1/2, 1, 1)), ((0, 1/4, 1/2, 3/4, 1, 0), ()), x**(-4))/(8*pi**(3/2)) - meijerg(((-1/2, -1/4, 0, 1/4, 1/2, 1), ()), ((-1/4, 1/4), (-1/2, 0, 0, 0)), exp_polar(-2*I*pi)/x**4)/(8*pi**(3/2))","C",0
17,-1,0,0,0.000000," ","integrate(ln(x+(x**2-1)**(1/2))/(x**2+1)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
18,1,37,0,159.335905," ","integrate(ln(x)/x**2/(x**2-1)**(1/2),x)","\left(\begin{cases} \frac{\sqrt{x^{2} - 1}}{x} & \text{for}\: x > -1 \wedge x < 1 \end{cases}\right) \log{\left(x \right)} - \begin{cases} \text{NaN} & \text{for}\: x < -1 \\\operatorname{acosh}{\left(x \right)} - i \pi - \frac{\sqrt{x^{2} - 1}}{x} & \text{for}\: x < 1 \\\text{NaN} & \text{otherwise} \end{cases}"," ",0,"Piecewise((sqrt(x**2 - 1)/x, (x > -1) & (x < 1)))*log(x) - Piecewise((nan, x < -1), (acosh(x) - I*pi - sqrt(x**2 - 1)/x, x < 1), (nan, True))","C",0
19,1,48,0,1.172407," ","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
20,1,20,0,9.120353," ","integrate(x*ln(x+(x**2-1)**(1/2))/(x**2-1)**(1/2),x)","- x + \sqrt{x^{2} - 1} \log{\left(x + \sqrt{x^{2} - 1} \right)}"," ",0,"-x + sqrt(x**2 - 1)*log(x + sqrt(x**2 - 1))","A",0
21,0,0,0,0.000000," ","integrate(x**3*asin(x)/(-x**4+1)**(1/2),x)","\int \frac{x^{3} \operatorname{asin}{\left(x \right)}}{\sqrt{- \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}}\, dx"," ",0,"Integral(x**3*asin(x)/sqrt(-(x - 1)*(x + 1)*(x**2 + 1)), x)","F",0
22,0,0,0,0.000000," ","integrate(x**3*asec(x)/(x**4-1)**(1/2),x)","\int \frac{x^{3} \operatorname{asec}{\left(x \right)}}{\sqrt{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)}}\, dx"," ",0,"Integral(x**3*asec(x)/sqrt((x - 1)*(x + 1)*(x**2 + 1)), x)","F",0
23,-1,0,0,0.000000," ","integrate(x*atan(x)*ln(x+(x**2+1)**(1/2))/(x**2+1)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
24,1,31,0,5.992132," ","integrate(x*ln(1+(-x**2+1)**(1/2))/(-x**2+1)**(1/2),x)","\sqrt{1 - x^{2}} - \left(\sqrt{1 - x^{2}} + 1\right) \log{\left(\sqrt{1 - x^{2}} + 1 \right)} + 1"," ",0,"sqrt(1 - x**2) - (sqrt(1 - x**2) + 1)*log(sqrt(1 - x**2) + 1) + 1","A",0
25,1,20,0,4.328100," ","integrate(x*ln(x+(x**2+1)**(1/2))/(x**2+1)**(1/2),x)","- x + \sqrt{x^{2} + 1} \log{\left(x + \sqrt{x^{2} + 1} \right)}"," ",0,"-x + sqrt(x**2 + 1)*log(x + sqrt(x**2 + 1))","A",0
26,0,0,0,0.000000," ","integrate(x*ln(x+(-x**2+1)**(1/2))/(-x**2+1)**(1/2),x)","\int \frac{x \log{\left(x + \sqrt{1 - x^{2}} \right)}}{\sqrt{- \left(x - 1\right) \left(x + 1\right)}}\, dx"," ",0,"Integral(x*log(x + sqrt(1 - x**2))/sqrt(-(x - 1)*(x + 1)), x)","F",0
27,0,0,0,0.000000," ","integrate(ln(x)/x**2/(-x**2+1)**(1/2),x)","\int \frac{\log{\left(x \right)}}{x^{2} \sqrt{- \left(x - 1\right) \left(x + 1\right)}}\, dx"," ",0,"Integral(log(x)/(x**2*sqrt(-(x - 1)*(x + 1))), x)","F",0
28,1,29,0,2.330079," ","integrate(x*atan(x)/(x**2+1)**(1/2),x)","\frac{x^{2} \operatorname{atan}{\left(x \right)}}{\sqrt{x^{2} + 1}} - \operatorname{asinh}{\left(x \right)} + \frac{\operatorname{atan}{\left(x \right)}}{\sqrt{x^{2} + 1}}"," ",0,"x**2*atan(x)/sqrt(x**2 + 1) - asinh(x) + atan(x)/sqrt(x**2 + 1)","B",0
29,0,0,0,0.000000," ","integrate(atan(x)/x**2/(-x**2+1)**(1/2),x)","\int \frac{\operatorname{atan}{\left(x \right)}}{x^{2} \sqrt{- \left(x - 1\right) \left(x + 1\right)}}\, dx"," ",0,"Integral(atan(x)/(x**2*sqrt(-(x - 1)*(x + 1))), x)","F",0
30,0,0,0,0.000000," ","integrate(x*atan(x)/(-x**2+1)**(1/2),x)","\int \frac{x \operatorname{atan}{\left(x \right)}}{\sqrt{- \left(x - 1\right) \left(x + 1\right)}}\, dx"," ",0,"Integral(x*atan(x)/sqrt(-(x - 1)*(x + 1)), x)","F",0
31,1,19,0,7.264308," ","integrate(atan(x)/x**2/(x**2+1)**(1/2),x)","- \operatorname{asinh}{\left(\frac{1}{x} \right)} - \frac{\sqrt{x^{2} + 1} \operatorname{atan}{\left(x \right)}}{x}"," ",0,"-asinh(1/x) - sqrt(x**2 + 1)*atan(x)/x","A",0
32,0,0,0,0.000000," ","integrate(asin(x)/x**2/(-x**2+1)**(1/2),x)","\int \frac{\operatorname{asin}{\left(x \right)}}{x^{2} \sqrt{- \left(x - 1\right) \left(x + 1\right)}}\, dx"," ",0,"Integral(asin(x)/(x**2*sqrt(-(x - 1)*(x + 1))), x)","F",0
33,1,29,0,2.737470," ","integrate(x*ln(x)/(x**2-1)**(1/2),x)","\sqrt{x^{2} - 1} \log{\left(x \right)} - \begin{cases} \sqrt{x^{2} - 1} - \operatorname{acos}{\left(\frac{1}{x} \right)} & \text{for}\: x > -1 \wedge x < 1 \end{cases}"," ",0,"sqrt(x**2 - 1)*log(x) - Piecewise((sqrt(x**2 - 1) - acos(1/x), (x > -1) & (x < 1)))","A",0
34,1,26,0,5.247476," ","integrate(ln(x)/x**2/(x**2+1)**(1/2),x)","\operatorname{asinh}{\left(x \right)} - \frac{\sqrt{x^{2} + 1} \log{\left(x \right)}}{x} - \frac{\sqrt{x^{2} + 1}}{x}"," ",0,"asinh(x) - sqrt(x**2 + 1)*log(x)/x - sqrt(x**2 + 1)/x","A",0
35,1,22,0,19.711859," ","integrate(x*asec(x)/(x**2-1)**(1/2),x)","\sqrt{x^{2} - 1} \operatorname{asec}{\left(x \right)} - \begin{cases} - \log{\left(\frac{1}{x} \right)} & \text{for}\: x > -1 \wedge x < 1 \end{cases}"," ",0,"sqrt(x**2 - 1)*asec(x) - Piecewise((-log(1/x), (x > -1) & (x < 1)))","A",0
36,1,41,0,4.342490," ","integrate(x*ln(x)/(x**2+1)**(1/2),x)","- \frac{x}{\sqrt{1 + \frac{1}{x^{2}}}} + \sqrt{x^{2} + 1} \log{\left(x \right)} + \operatorname{asinh}{\left(\frac{1}{x} \right)} - \frac{1}{x \sqrt{1 + \frac{1}{x^{2}}}}"," ",0,"-x/sqrt(1 + x**(-2)) + sqrt(x**2 + 1)*log(x) + asinh(1/x) - 1/(x*sqrt(1 + x**(-2)))","A",0
37,1,46,0,22.866836," ","integrate(sin(x)/(1+sin(x)**2),x)","\frac{\sqrt{2} \log{\left(\tan^{2}{\left(\frac{x}{2} \right)} - 2 \sqrt{2} + 3 \right)}}{4} - \frac{\sqrt{2} \log{\left(\tan^{2}{\left(\frac{x}{2} \right)} + 2 \sqrt{2} + 3 \right)}}{4}"," ",0,"sqrt(2)*log(tan(x/2)**2 - 2*sqrt(2) + 3)/4 - sqrt(2)*log(tan(x/2)**2 + 2*sqrt(2) + 3)/4","B",0
38,0,0,0,0.000000," ","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
39,0,0,0,0.000000," ","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 \left(- \frac{1}{x^{2} \sqrt{x^{4} + 1} + \sqrt{x^{4} + 1}}\right)\, 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
40,1,97,0,1.367141," ","integrate(ln(sin(x))/(1+sin(x)),x)","- \frac{x \tan{\left(\frac{x}{2} \right)}}{\tan{\left(\frac{x}{2} \right)} + 1} - \frac{x}{\tan{\left(\frac{x}{2} \right)} + 1} - \frac{\log{\left(\tan^{2}{\left(\frac{x}{2} \right)} + 1 \right)} \tan{\left(\frac{x}{2} \right)}}{\tan{\left(\frac{x}{2} \right)} + 1} + \frac{\log{\left(\tan^{2}{\left(\frac{x}{2} \right)} + 1 \right)}}{\tan{\left(\frac{x}{2} \right)} + 1} + \frac{2 \log{\left(\tan{\left(\frac{x}{2} \right)} \right)} \tan{\left(\frac{x}{2} \right)}}{\tan{\left(\frac{x}{2} \right)} + 1} + \frac{2 \log{\left(2 \right)} \tan{\left(\frac{x}{2} \right)}}{\tan{\left(\frac{x}{2} \right)} + 1}"," ",0,"-x*tan(x/2)/(tan(x/2) + 1) - x/(tan(x/2) + 1) - log(tan(x/2)**2 + 1)*tan(x/2)/(tan(x/2) + 1) + log(tan(x/2)**2 + 1)/(tan(x/2) + 1) + 2*log(tan(x/2))*tan(x/2)/(tan(x/2) + 1) + 2*log(2)*tan(x/2)/(tan(x/2) + 1)","B",0
41,0,0,0,0.000000," ","integrate(ln(sin(x))*(1+sin(x))**(1/2),x)","\int \sqrt{\sin{\left(x \right)} + 1} \log{\left(\sin{\left(x \right)} \right)}\, dx"," ",0,"Integral(sqrt(sin(x) + 1)*log(sin(x)), x)","F",0
42,0,0,0,0.000000," ","integrate(sec(x)/(-1+sec(x)**4)**(1/2),x)","\int \frac{\sec{\left(x \right)}}{\sqrt{\left(\sec{\left(x \right)} - 1\right) \left(\sec{\left(x \right)} + 1\right) \left(\sec^{2}{\left(x \right)} + 1\right)}}\, dx"," ",0,"Integral(sec(x)/sqrt((sec(x) - 1)*(sec(x) + 1)*(sec(x)**2 + 1)), x)","F",0
43,0,0,0,0.000000," ","integrate(tan(x)/(1+tan(x)**4)**(1/2),x)","\int \frac{\tan{\left(x \right)}}{\sqrt{\tan^{4}{\left(x \right)} + 1}}\, dx"," ",0,"Integral(tan(x)/sqrt(tan(x)**4 + 1), x)","F",0
44,-1,0,0,0.000000," ","integrate(sin(x)/(1-sin(x)**6)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
45,0,0,0,0.000000," ","integrate((-(-1+sec(x))**(1/2)+(1+sec(x))**(1/2))**(1/2),x)","\int \sqrt{- \sqrt{\sec{\left(x \right)} - 1} + \sqrt{\sec{\left(x \right)} + 1}}\, dx"," ",0,"Integral(sqrt(-sqrt(sec(x) - 1) + sqrt(sec(x) + 1)), x)","F",0
46,1,87,0,2.491193," ","integrate(x*atan(x)**2*ln(x**2+1),x)","\frac{x^{2} \log{\left(x^{2} + 1 \right)} \operatorname{atan}^{2}{\left(x \right)}}{2} - \frac{x^{2} \operatorname{atan}^{2}{\left(x \right)}}{2} - x \log{\left(x^{2} + 1 \right)} \operatorname{atan}{\left(x \right)} + 3 x \operatorname{atan}{\left(x \right)} + \frac{\log{\left(x^{2} + 1 \right)}^{2}}{4} + \frac{\log{\left(x^{2} + 1 \right)} \operatorname{atan}^{2}{\left(x \right)}}{2} - \frac{3 \log{\left(x^{2} + 1 \right)}}{2} - \frac{3 \operatorname{atan}^{2}{\left(x \right)}}{2}"," ",0,"x**2*log(x**2 + 1)*atan(x)**2/2 - x**2*atan(x)**2/2 - x*log(x**2 + 1)*atan(x) + 3*x*atan(x) + log(x**2 + 1)**2/4 + log(x**2 + 1)*atan(x)**2/2 - 3*log(x**2 + 1)/2 - 3*atan(x)**2/2","A",0
47,0,0,0,0.000000," ","integrate(atan(x*(x**2+1)**(1/2)),x)","\int \operatorname{atan}{\left(x \sqrt{x^{2} + 1} \right)}\, dx"," ",0,"Integral(atan(x*sqrt(x**2 + 1)), x)","F",0
48,1,29,0,89.156790," ","integrate(-atan(x**(1/2)-(1+x)**(1/2)),x)","\frac{\sqrt{x}}{2} - x \operatorname{atan}{\left(\sqrt{x} - \sqrt{x + 1} \right)} - \frac{\operatorname{atan}{\left(\sqrt{x} \right)}}{2}"," ",0,"sqrt(x)/2 - x*atan(sqrt(x) - sqrt(x + 1)) - atan(sqrt(x))/2","A",0
49,0,0,0,0.000000," ","integrate(asin(x/(-x**2+1)**(1/2)),x)","\int \operatorname{asin}{\left(\frac{x}{\sqrt{1 - x^{2}}} \right)}\, dx"," ",0,"Integral(asin(x/sqrt(1 - x**2)), x)","F",0
50,-1,0,0,0.000000," ","integrate(atan(x*(-x**2+1)**(1/2)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
