1,1,58,0,0.960927," ","integrate(arcsin(x)*log(x),x, algorithm=""maxima"")","{\left(x \log\left(x\right) - x\right)} \arcsin\left(x\right) + \sqrt{-x^{2} + 1} \log\left(x\right) - 2 \, \sqrt{-x^{2} + 1} + \log\left(\frac{2 \, \sqrt{-x^{2} + 1}}{{\left| x \right|}} + \frac{2}{{\left| x \right|}}\right)"," ",0,"(x*log(x) - x)*arcsin(x) + sqrt(-x^2 + 1)*log(x) - 2*sqrt(-x^2 + 1) + log(2*sqrt(-x^2 + 1)/abs(x) + 2/abs(x))","A",0
2,1,15,0,0.958049," ","integrate(x*arcsin(x)/(-x^2+1)^(1/2),x, algorithm=""maxima"")","-\sqrt{-x^{2} + 1} \arcsin\left(x\right) + x"," ",0,"-sqrt(-x^2 + 1)*arcsin(x) + x","A",0
3,1,4,0,3.853739," ","integrate(-arcsin(x^(1/2)-(1+x)^(1/2)),x, algorithm=""maxima"")","\frac{1}{2} \, \pi x"," ",0,"1/2*pi*x","A",0
4,0,0,0,0.000000," ","integrate(log(1+x*(x^2+1)^(1/2)),x, algorithm=""maxima"")","x \log\left(\sqrt{x^{2} + 1} x + 1\right) - 2 \, x + \arctan\left(x\right) + \int \frac{2 \, x^{2} + 1}{x^{2} + {\left(x^{3} + x\right)} \sqrt{x^{2} + 1} + 1}\,{d x}"," ",0,"x*log(sqrt(x^2 + 1)*x + 1) - 2*x + arctan(x) + integrate((2*x^2 + 1)/(x^2 + (x^3 + x)*sqrt(x^2 + 1) + 1), x)","F",0
5,0,0,0,0.000000," ","integrate(cos(x)^2/(1+cos(x)^2+cos(x)^4)^(1/2),x, algorithm=""maxima"")","\int \frac{\cos\left(x\right)^{2}}{\sqrt{\cos\left(x\right)^{4} + \cos\left(x\right)^{2} + 1}}\,{d x}"," ",0,"integrate(cos(x)^2/sqrt(cos(x)^4 + cos(x)^2 + 1), x)","F",0
6,0,0,0,0.000000," ","integrate((1+tan(x)^4)^(1/2)*tan(x),x, algorithm=""maxima"")","\int \sqrt{\tan\left(x\right)^{4} + 1} \tan\left(x\right)\,{d x}"," ",0,"integrate(sqrt(tan(x)^4 + 1)*tan(x), x)","F",0
7,1,27,0,0.422335," ","integrate(tan(x)/(1+sec(x)^3)^(1/2),x, algorithm=""maxima"")","-\frac{1}{3} \, \log\left(\sqrt{\frac{1}{\cos\left(x\right)^{3}} + 1} + 1\right) + \frac{1}{3} \, \log\left(\sqrt{\frac{1}{\cos\left(x\right)^{3}} + 1} - 1\right)"," ",0,"-1/3*log(sqrt(1/cos(x)^3 + 1) + 1) + 1/3*log(sqrt(1/cos(x)^3 + 1) - 1)","B",0
8,-2,0,0,0.000000," ","integrate((2+2*tan(x)+tan(x)^2)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: sign: argument cannot be imaginary; found %i","F(-2)",0
9,1,60,0,1.012394," ","integrate(arctan((-1+sec(x))^(1/2))*sin(x),x, algorithm=""maxima"")","-\arctan\left(\sqrt{-\frac{\cos\left(x\right) - 1}{\cos\left(x\right)}}\right) \cos\left(x\right) - \frac{\sqrt{-\frac{\cos\left(x\right) - 1}{\cos\left(x\right)}}}{2 \, {\left(\frac{\cos\left(x\right) - 1}{\cos\left(x\right)} - 1\right)}} + \frac{1}{2} \, \arctan\left(\sqrt{-\frac{\cos\left(x\right) - 1}{\cos\left(x\right)}}\right)"," ",0,"-arctan(sqrt(-(cos(x) - 1)/cos(x)))*cos(x) - 1/2*sqrt(-(cos(x) - 1)/cos(x))/((cos(x) - 1)/cos(x) - 1) + 1/2*arctan(sqrt(-(cos(x) - 1)/cos(x)))","A",0
10,0,0,0,0.000000," ","integrate(exp(arcsin(x))*x^3/(-x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{3} e^{\arcsin\left(x\right)}}{\sqrt{-x^{2} + 1}}\,{d x}"," ",0,"integrate(x^3*e^arcsin(x)/sqrt(-x^2 + 1), x)","F",0
11,0,0,0,0.000000," ","integrate(x*log(x^2+1)*log(x+(x^2+1)^(1/2))/(x^2+1)^(1/2),x, algorithm=""maxima"")","-\frac{{\left(2 \, x^{2} - {\left(x^{2} + 1\right)} \log\left(x^{2} + 1\right) + 2\right)} \log\left(x + \sqrt{x^{2} + 1}\right)}{\sqrt{x^{2} + 1}} + \int \frac{\log\left(x^{2} + 1\right) - 2}{x^{2} + \sqrt{x^{2} + 1} x}\,{d x} - \int -\frac{2 \, x^{2} - {\left(x^{2} + 1\right)} \log\left(x^{2} + 1\right) + 2}{\sqrt{x^{2} + 1} x}\,{d x}"," ",0,"-(2*x^2 - (x^2 + 1)*log(x^2 + 1) + 2)*log(x + sqrt(x^2 + 1))/sqrt(x^2 + 1) + integrate((log(x^2 + 1) - 2)/(x^2 + sqrt(x^2 + 1)*x), x) - integrate(-(2*x^2 - (x^2 + 1)*log(x^2 + 1) + 2)/(sqrt(x^2 + 1)*x), x)","F",0
12,0,0,0,0.000000," ","integrate(arctan(x+(-x^2+1)^(1/2)),x, algorithm=""maxima"")","x \arctan\left(x + \sqrt{x + 1} \sqrt{-x + 1}\right) - \int \frac{x^{3} + x^{2} e^{\left(\frac{1}{2} \, \log\left(x + 1\right) + \frac{1}{2} \, \log\left(-x + 1\right)\right)} - x}{x^{4} + {\left(x^{2} - 1\right)} e^{\left(\log\left(x + 1\right) + \log\left(-x + 1\right)\right)} + 2 \, {\left(x^{3} - x\right)} e^{\left(\frac{1}{2} \, \log\left(x + 1\right) + \frac{1}{2} \, \log\left(-x + 1\right)\right)} - 1}\,{d x}"," ",0,"x*arctan(x + sqrt(x + 1)*sqrt(-x + 1)) - integrate((x^3 + x^2*e^(1/2*log(x + 1) + 1/2*log(-x + 1)) - x)/(x^4 + (x^2 - 1)*e^(log(x + 1) + log(-x + 1)) + 2*(x^3 - x)*e^(1/2*log(x + 1) + 1/2*log(-x + 1)) - 1), x)","F",0
13,0,0,0,0.000000," ","integrate(x*arctan(x+(-x^2+1)^(1/2))/(-x^2+1)^(1/2),x, algorithm=""maxima"")","-\sqrt{x + 1} \sqrt{-x + 1} \arctan\left(x + \sqrt{x + 1} \sqrt{-x + 1}\right) - \int \frac{x}{x^{2} + 2 \, x e^{\left(\frac{1}{2} \, \log\left(x + 1\right) + \frac{1}{2} \, \log\left(-x + 1\right)\right)} + e^{\left(\log\left(x + 1\right) + \log\left(-x + 1\right)\right)} + 1}\,{d x}"," ",0,"-sqrt(x + 1)*sqrt(-x + 1)*arctan(x + sqrt(x + 1)*sqrt(-x + 1)) - integrate(x/(x^2 + 2*x*e^(1/2*log(x + 1) + 1/2*log(-x + 1)) + e^(log(x + 1) + log(-x + 1)) + 1), x)","F",0
14,0,0,0,0.000000," ","integrate(arcsin(x)/(1+(-x^2+1)^(1/2)),x, algorithm=""maxima"")","\int \frac{\arcsin\left(x\right)}{\sqrt{-x^{2} + 1} + 1}\,{d x}"," ",0,"integrate(arcsin(x)/(sqrt(-x^2 + 1) + 1), x)","F",0
15,0,0,0,0.000000," ","integrate(log(x+(x^2+1)^(1/2))/(-x^2+1)^(3/2),x, algorithm=""maxima"")","\int \frac{\log\left(x + \sqrt{x^{2} + 1}\right)}{{\left(-x^{2} + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(log(x + sqrt(x^2 + 1))/(-x^2 + 1)^(3/2), x)","F",0
16,1,18,0,0.961701," ","integrate(arcsin(x)/(x^2+1)^(3/2),x, algorithm=""maxima"")","\frac{x \arcsin\left(x\right)}{\sqrt{x^{2} + 1}} - \frac{1}{2} \, \arcsin\left(x^{2}\right)"," ",0,"x*arcsin(x)/sqrt(x^2 + 1) - 1/2*arcsin(x^2)","A",0
17,0,0,0,0.000000," ","integrate(log(x+(x^2-1)^(1/2))/(x^2+1)^(3/2),x, algorithm=""maxima"")","\int \frac{\log\left(x + \sqrt{x^{2} - 1}\right)}{{\left(x^{2} + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(log(x + sqrt(x^2 - 1))/(x^2 + 1)^(3/2), x)","F",0
18,1,41,0,0.955870," ","integrate(log(x)/x^2/(x^2-1)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{x^{2} - 1} \log\left(x\right)}{x} + \frac{\sqrt{x^{2} - 1}}{x} - \log\left(2 \, x + 2 \, \sqrt{x^{2} - 1}\right)"," ",0,"sqrt(x^2 - 1)*log(x)/x + sqrt(x^2 - 1)/x - log(2*x + 2*sqrt(x^2 - 1))","A",0
19,1,34,0,0.412664," ","integrate((x^3+1)^(1/2)/x,x, algorithm=""maxima"")","\frac{2}{3} \, \sqrt{x^{3} + 1} - \frac{1}{3} \, \log\left(\sqrt{x^{3} + 1} + 1\right) + \frac{1}{3} \, \log\left(\sqrt{x^{3} + 1} - 1\right)"," ",0,"2/3*sqrt(x^3 + 1) - 1/3*log(sqrt(x^3 + 1) + 1) + 1/3*log(sqrt(x^3 + 1) - 1)","A",0
20,1,22,0,0.551648," ","integrate(x*log(x+(x^2-1)^(1/2))/(x^2-1)^(1/2),x, algorithm=""maxima"")","\sqrt{x^{2} - 1} \log\left(x + \sqrt{x^{2} - 1}\right) - x"," ",0,"sqrt(x^2 - 1)*log(x + sqrt(x^2 - 1)) - x","A",0
21,0,0,0,0.000000," ","integrate(x^3*arcsin(x)/(-x^4+1)^(1/2),x, algorithm=""maxima"")","-\frac{1}{2} \, \sqrt{x^{2} + 1} \sqrt{x + 1} \sqrt{-x + 1} \arctan\left(x, \sqrt{x + 1} \sqrt{-x + 1}\right) + \int \frac{\sqrt{x^{2} + 1}}{2 \, {\left(x^{2} + e^{\left(\log\left(x + 1\right) + \log\left(-x + 1\right)\right)}\right)}}\,{d x}"," ",0,"-1/2*sqrt(x^2 + 1)*sqrt(x + 1)*sqrt(-x + 1)*arctan2(x, sqrt(x + 1)*sqrt(-x + 1)) + integrate(1/2*sqrt(x^2 + 1)/(x^2 + e^(log(x + 1) + log(-x + 1))), x)","F",0
22,0,0,0,0.000000," ","integrate(x^3*arcsec(x)/(x^4-1)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{x^{2} + 1} \sqrt{x + 1} \sqrt{x - 1} \arctan\left(\sqrt{x + 1} \sqrt{x - 1}\right) - \int \frac{2 \, {\left(x^{3} e^{\left(\frac{3}{2} \, \log\left(x + 1\right) + \frac{3}{2} \, \log\left(x - 1\right)\right)} + x^{3} e^{\left(\frac{1}{2} \, \log\left(x + 1\right) + \frac{1}{2} \, \log\left(x - 1\right)\right)}\right)} \sqrt{x^{2} + 1} \log\left(x\right) + {\left(x^{3} + x\right)} e^{\left(\frac{1}{2} \, \log\left(x^{2} + 1\right) + \frac{3}{2} \, \log\left(x + 1\right) + \frac{3}{2} \, \log\left(x - 1\right)\right)}}{{\left(x^{2} + 1\right)} {\left(e^{\left(2 \, \log\left(x + 1\right) + 2 \, \log\left(x - 1\right)\right)} + e^{\left(\log\left(x + 1\right) + \log\left(x - 1\right)\right)}\right)}}\,{d x}"," ",0,"1/2*sqrt(x^2 + 1)*sqrt(x + 1)*sqrt(x - 1)*arctan(sqrt(x + 1)*sqrt(x - 1)) - integrate((2*(x^3*e^(3/2*log(x + 1) + 3/2*log(x - 1)) + x^3*e^(1/2*log(x + 1) + 1/2*log(x - 1)))*sqrt(x^2 + 1)*log(x) + (x^3 + x)*e^(1/2*log(x^2 + 1) + 3/2*log(x + 1) + 3/2*log(x - 1)))/((x^2 + 1)*(e^(2*log(x + 1) + 2*log(x - 1)) + e^(log(x + 1) + log(x - 1)))), x)","F",0
23,0,0,0,0.000000," ","integrate(x*arctan(x)*log(x+(x^2+1)^(1/2))/(x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x \arctan\left(x\right) \log\left(x + \sqrt{x^{2} + 1}\right)}{\sqrt{x^{2} + 1}}\,{d x}"," ",0,"integrate(x*arctan(x)*log(x + sqrt(x^2 + 1))/sqrt(x^2 + 1), x)","F",0
24,1,36,0,0.414571," ","integrate(x*log(1+(-x^2+1)^(1/2))/(-x^2+1)^(1/2),x, algorithm=""maxima"")","-{\left(\sqrt{-x^{2} + 1} + 1\right)} \log\left(\sqrt{-x^{2} + 1} + 1\right) + \sqrt{-x^{2} + 1} + 1"," ",0,"-(sqrt(-x^2 + 1) + 1)*log(sqrt(-x^2 + 1) + 1) + sqrt(-x^2 + 1) + 1","A",0
25,1,22,0,1.058725," ","integrate(x*log(x+(x^2+1)^(1/2))/(x^2+1)^(1/2),x, algorithm=""maxima"")","\sqrt{x^{2} + 1} \log\left(x + \sqrt{x^{2} + 1}\right) - x"," ",0,"sqrt(x^2 + 1)*log(x + sqrt(x^2 + 1)) - x","A",0
26,0,0,0,0.000000," ","integrate(x*log(x+(-x^2+1)^(1/2))/(-x^2+1)^(1/2),x, algorithm=""maxima"")","\frac{{\left(x^{2} - 1\right)} \log\left(x + \sqrt{x + 1} \sqrt{-x + 1}\right)}{\sqrt{x + 1} \sqrt{-x + 1}} - \int \frac{{\left(x^{2} - 1\right)} e^{\left(-\frac{1}{2} \, \log\left(x + 1\right) - \frac{1}{2} \, \log\left(-x + 1\right)\right)}}{x}\,{d x} - \int \frac{1}{x^{2} + \sqrt{x + 1} x \sqrt{-x + 1}}\,{d x}"," ",0,"(x^2 - 1)*log(x + sqrt(x + 1)*sqrt(-x + 1))/(sqrt(x + 1)*sqrt(-x + 1)) - integrate((x^2 - 1)*e^(-1/2*log(x + 1) - 1/2*log(-x + 1))/x, x) - integrate(1/(x^2 + sqrt(x + 1)*x*sqrt(-x + 1)), x)","F",0
27,1,35,0,0.963681," ","integrate(log(x)/x^2/(-x^2+1)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-x^{2} + 1} \log\left(x\right)}{x} - \frac{\sqrt{-x^{2} + 1}}{x} - \arcsin\left(x\right)"," ",0,"-sqrt(-x^2 + 1)*log(x)/x - sqrt(-x^2 + 1)/x - arcsin(x)","A",0
28,1,15,0,0.952301," ","integrate(x*arctan(x)/(x^2+1)^(1/2),x, algorithm=""maxima"")","\sqrt{x^{2} + 1} \arctan\left(x\right) - \operatorname{arsinh}\left(x\right)"," ",0,"sqrt(x^2 + 1)*arctan(x) - arcsinh(x)","A",0
29,0,0,0,0.000000," ","integrate(arctan(x)/x^2/(-x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{\arctan\left(x\right)}{\sqrt{-x^{2} + 1} x^{2}}\,{d x}"," ",0,"integrate(arctan(x)/(sqrt(-x^2 + 1)*x^2), x)","F",0
30,-2,0,0,0.000000," ","integrate(x*arctan(x)/(-x^2+1)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: sign: argument cannot be imaginary; found %i","F(-2)",0
31,1,22,0,0.952994," ","integrate(arctan(x)/x^2/(x^2+1)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{x^{2} + 1} \arctan\left(x\right)}{x} - \operatorname{arsinh}\left(\frac{1}{{\left| x \right|}}\right)"," ",0,"-sqrt(x^2 + 1)*arctan(x)/x - arcsinh(1/abs(x))","A",0
32,1,19,0,0.944903," ","integrate(arcsin(x)/x^2/(-x^2+1)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-x^{2} + 1} \arcsin\left(x\right)}{x} + \log\left(x\right)"," ",0,"-sqrt(-x^2 + 1)*arcsin(x)/x + log(x)","A",0
33,1,27,0,0.973125," ","integrate(x*log(x)/(x^2-1)^(1/2),x, algorithm=""maxima"")","\sqrt{x^{2} - 1} \log\left(x\right) - \sqrt{x^{2} - 1} - \arcsin\left(\frac{1}{{\left| x \right|}}\right)"," ",0,"sqrt(x^2 - 1)*log(x) - sqrt(x^2 - 1) - arcsin(1/abs(x))","A",0
34,1,29,0,0.969702," ","integrate(log(x)/x^2/(x^2+1)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{x^{2} + 1} \log\left(x\right)}{x} - \frac{\sqrt{x^{2} + 1}}{x} + \operatorname{arsinh}\left(x\right)"," ",0,"-sqrt(x^2 + 1)*log(x)/x - sqrt(x^2 + 1)/x + arcsinh(x)","A",0
35,1,15,0,0.465075," ","integrate(x*arcsec(x)/(x^2-1)^(1/2),x, algorithm=""maxima"")","\sqrt{x^{2} - 1} \operatorname{arcsec}\left(x\right) - \log\left(x\right)"," ",0,"sqrt(x^2 - 1)*arcsec(x) - log(x)","A",0
36,1,25,0,0.962337," ","integrate(x*log(x)/(x^2+1)^(1/2),x, algorithm=""maxima"")","\sqrt{x^{2} + 1} \log\left(x\right) - \sqrt{x^{2} + 1} + \operatorname{arsinh}\left(\frac{1}{{\left| x \right|}}\right)"," ",0,"sqrt(x^2 + 1)*log(x) - sqrt(x^2 + 1) + arcsinh(1/abs(x))","A",0
37,1,24,0,0.954553," ","integrate(sin(x)/(1+sin(x)^2),x, algorithm=""maxima"")","\frac{1}{4} \, \sqrt{2} \log\left(-\frac{\sqrt{2} - \cos\left(x\right)}{\sqrt{2} + \cos\left(x\right)}\right)"," ",0,"1/4*sqrt(2)*log(-(sqrt(2) - cos(x))/(sqrt(2) + cos(x)))","A",0
38,0,0,0,0.000000," ","integrate((x^2+1)/(-x^2+1)/(x^4+1)^(1/2),x, algorithm=""maxima"")","-\int \frac{x^{2} + 1}{\sqrt{x^{4} + 1} {\left(x^{2} - 1\right)}}\,{d x}"," ",0,"-integrate((x^2 + 1)/(sqrt(x^4 + 1)*(x^2 - 1)), x)","F",0
39,0,0,0,0.000000," ","integrate((-x^2+1)/(x^2+1)/(x^4+1)^(1/2),x, algorithm=""maxima"")","-\int \frac{x^{2} - 1}{\sqrt{x^{4} + 1} {\left(x^{2} + 1\right)}}\,{d x}"," ",0,"-integrate((x^2 - 1)/(sqrt(x^4 + 1)*(x^2 + 1)), x)","F",0
40,1,82,0,0.970700," ","integrate(log(sin(x))/(1+sin(x)),x, algorithm=""maxima"")","-\frac{2 \, \log\left(\frac{2 \, \sin\left(x\right)}{{\left(\frac{\sin\left(x\right)^{2}}{{\left(\cos\left(x\right) + 1\right)}^{2}} + 1\right)} {\left(\cos\left(x\right) + 1\right)}}\right)}{\frac{\sin\left(x\right)}{\cos\left(x\right) + 1} + 1} - 2 \, \arctan\left(\frac{\sin\left(x\right)}{\cos\left(x\right) + 1}\right) + 2 \, \log\left(\frac{\sin\left(x\right)}{\cos\left(x\right) + 1}\right) - \log\left(\frac{\sin\left(x\right)^{2}}{{\left(\cos\left(x\right) + 1\right)}^{2}} + 1\right)"," ",0,"-2*log(2*sin(x)/((sin(x)^2/(cos(x) + 1)^2 + 1)*(cos(x) + 1)))/(sin(x)/(cos(x) + 1) + 1) - 2*arctan(sin(x)/(cos(x) + 1)) + 2*log(sin(x)/(cos(x) + 1)) - log(sin(x)^2/(cos(x) + 1)^2 + 1)","B",0
41,0,0,0,0.000000," ","integrate(log(sin(x))*(1+sin(x))^(1/2),x, algorithm=""maxima"")","\int \sqrt{\sin\left(x\right) + 1} \log\left(\sin\left(x\right)\right)\,{d x}"," ",0,"integrate(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, algorithm=""maxima"")","\int \frac{\sec\left(x\right)}{\sqrt{\sec\left(x\right)^{4} - 1}}\,{d x}"," ",0,"integrate(sec(x)/sqrt(sec(x)^4 - 1), x)","F",0
43,1,565,0,1.348478," ","integrate(tan(x)/(1+tan(x)^4)^(1/2),x, algorithm=""maxima"")","-\frac{1}{16} \, \sqrt{2} {\left(\log\left(4 \, \sqrt{2 \, {\left(6 \, \cos\left(4 \, x\right) + 1\right)} \cos\left(8 \, x\right) + \cos\left(8 \, x\right)^{2} + 36 \, \cos\left(4 \, x\right)^{2} + \sin\left(8 \, x\right)^{2} + 12 \, \sin\left(8 \, x\right) \sin\left(4 \, x\right) + 36 \, \sin\left(4 \, x\right)^{2} + 12 \, \cos\left(4 \, x\right) + 1} \cos\left(\frac{1}{2} \, \arctan\left(\sin\left(8 \, x\right) + 6 \, \sin\left(4 \, x\right), \cos\left(8 \, x\right) + 6 \, \cos\left(4 \, x\right) + 1\right)\right)^{2} + 4 \, \sqrt{2 \, {\left(6 \, \cos\left(4 \, x\right) + 1\right)} \cos\left(8 \, x\right) + \cos\left(8 \, x\right)^{2} + 36 \, \cos\left(4 \, x\right)^{2} + \sin\left(8 \, x\right)^{2} + 12 \, \sin\left(8 \, x\right) \sin\left(4 \, x\right) + 36 \, \sin\left(4 \, x\right)^{2} + 12 \, \cos\left(4 \, x\right) + 1} \sin\left(\frac{1}{2} \, \arctan\left(\sin\left(8 \, x\right) + 6 \, \sin\left(4 \, x\right), \cos\left(8 \, x\right) + 6 \, \cos\left(4 \, x\right) + 1\right)\right)^{2} + 32 \, {\left(2 \, {\left(6 \, \cos\left(4 \, x\right) + 1\right)} \cos\left(8 \, x\right) + \cos\left(8 \, x\right)^{2} + 36 \, \cos\left(4 \, x\right)^{2} + \sin\left(8 \, x\right)^{2} + 12 \, \sin\left(8 \, x\right) \sin\left(4 \, x\right) + 36 \, \sin\left(4 \, x\right)^{2} + 12 \, \cos\left(4 \, x\right) + 1\right)}^{\frac{1}{4}} \cos\left(\frac{1}{2} \, \arctan\left(\sin\left(8 \, x\right) + 6 \, \sin\left(4 \, x\right), \cos\left(8 \, x\right) + 6 \, \cos\left(4 \, x\right) + 1\right)\right) + 64\right) + \log\left(4 \, \cos\left(4 \, x\right)^{2} + 4 \, \sin\left(4 \, x\right)^{2} + 4 \, \sqrt{2 \, {\left(6 \, \cos\left(4 \, x\right) + 1\right)} \cos\left(8 \, x\right) + \cos\left(8 \, x\right)^{2} + 36 \, \cos\left(4 \, x\right)^{2} + \sin\left(8 \, x\right)^{2} + 12 \, \sin\left(8 \, x\right) \sin\left(4 \, x\right) + 36 \, \sin\left(4 \, x\right)^{2} + 12 \, \cos\left(4 \, x\right) + 1} {\left(\cos\left(\frac{1}{2} \, \arctan\left(\sin\left(8 \, x\right) + 6 \, \sin\left(4 \, x\right), \cos\left(8 \, x\right) + 6 \, \cos\left(4 \, x\right) + 1\right)\right)^{2} + \sin\left(\frac{1}{2} \, \arctan\left(\sin\left(8 \, x\right) + 6 \, \sin\left(4 \, x\right), \cos\left(8 \, x\right) + 6 \, \cos\left(4 \, x\right) + 1\right)\right)^{2}\right)} + 8 \, {\left(2 \, {\left(6 \, \cos\left(4 \, x\right) + 1\right)} \cos\left(8 \, x\right) + \cos\left(8 \, x\right)^{2} + 36 \, \cos\left(4 \, x\right)^{2} + \sin\left(8 \, x\right)^{2} + 12 \, \sin\left(8 \, x\right) \sin\left(4 \, x\right) + 36 \, \sin\left(4 \, x\right)^{2} + 12 \, \cos\left(4 \, x\right) + 1\right)}^{\frac{1}{4}} {\left({\left(\cos\left(4 \, x\right) + 3\right)} \cos\left(\frac{1}{2} \, \arctan\left(\sin\left(8 \, x\right) + 6 \, \sin\left(4 \, x\right), \cos\left(8 \, x\right) + 6 \, \cos\left(4 \, x\right) + 1\right)\right) + \sin\left(4 \, x\right) \sin\left(\frac{1}{2} \, \arctan\left(\sin\left(8 \, x\right) + 6 \, \sin\left(4 \, x\right), \cos\left(8 \, x\right) + 6 \, \cos\left(4 \, x\right) + 1\right)\right)\right)} + 24 \, \cos\left(4 \, x\right) + 36\right)\right)}"," ",0,"-1/16*sqrt(2)*(log(4*sqrt(2*(6*cos(4*x) + 1)*cos(8*x) + cos(8*x)^2 + 36*cos(4*x)^2 + sin(8*x)^2 + 12*sin(8*x)*sin(4*x) + 36*sin(4*x)^2 + 12*cos(4*x) + 1)*cos(1/2*arctan2(sin(8*x) + 6*sin(4*x), cos(8*x) + 6*cos(4*x) + 1))^2 + 4*sqrt(2*(6*cos(4*x) + 1)*cos(8*x) + cos(8*x)^2 + 36*cos(4*x)^2 + sin(8*x)^2 + 12*sin(8*x)*sin(4*x) + 36*sin(4*x)^2 + 12*cos(4*x) + 1)*sin(1/2*arctan2(sin(8*x) + 6*sin(4*x), cos(8*x) + 6*cos(4*x) + 1))^2 + 32*(2*(6*cos(4*x) + 1)*cos(8*x) + cos(8*x)^2 + 36*cos(4*x)^2 + sin(8*x)^2 + 12*sin(8*x)*sin(4*x) + 36*sin(4*x)^2 + 12*cos(4*x) + 1)^(1/4)*cos(1/2*arctan2(sin(8*x) + 6*sin(4*x), cos(8*x) + 6*cos(4*x) + 1)) + 64) + log(4*cos(4*x)^2 + 4*sin(4*x)^2 + 4*sqrt(2*(6*cos(4*x) + 1)*cos(8*x) + cos(8*x)^2 + 36*cos(4*x)^2 + sin(8*x)^2 + 12*sin(8*x)*sin(4*x) + 36*sin(4*x)^2 + 12*cos(4*x) + 1)*(cos(1/2*arctan2(sin(8*x) + 6*sin(4*x), cos(8*x) + 6*cos(4*x) + 1))^2 + sin(1/2*arctan2(sin(8*x) + 6*sin(4*x), cos(8*x) + 6*cos(4*x) + 1))^2) + 8*(2*(6*cos(4*x) + 1)*cos(8*x) + cos(8*x)^2 + 36*cos(4*x)^2 + sin(8*x)^2 + 12*sin(8*x)*sin(4*x) + 36*sin(4*x)^2 + 12*cos(4*x) + 1)^(1/4)*((cos(4*x) + 3)*cos(1/2*arctan2(sin(8*x) + 6*sin(4*x), cos(8*x) + 6*cos(4*x) + 1)) + sin(4*x)*sin(1/2*arctan2(sin(8*x) + 6*sin(4*x), cos(8*x) + 6*cos(4*x) + 1))) + 24*cos(4*x) + 36))","B",0
44,0,0,0,0.000000," ","integrate(sin(x)/(1-sin(x)^6)^(1/2),x, algorithm=""maxima"")","\int \frac{\sin\left(x\right)}{\sqrt{-\sin\left(x\right)^{6} + 1}}\,{d x}"," ",0,"integrate(sin(x)/sqrt(-sin(x)^6 + 1), x)","F",0
45,0,0,0,0.000000," ","integrate((-(-1+sec(x))^(1/2)+(1+sec(x))^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{\sqrt{\sec\left(x\right) + 1} - \sqrt{\sec\left(x\right) - 1}}\,{d x}"," ",0,"integrate(sqrt(sqrt(sec(x) + 1) - sqrt(sec(x) - 1)), x)","F",0
46,1,67,0,0.978328," ","integrate(x*arctan(x)^2*log(x^2+1),x, algorithm=""maxima"")","-\frac{1}{2} \, {\left(x^{2} - {\left(x^{2} + 1\right)} \log\left(x^{2} + 1\right) + 1\right)} \arctan\left(x\right)^{2} - {\left(x \log\left(x^{2} + 1\right) - 3 \, x + 2 \, \arctan\left(x\right)\right)} \arctan\left(x\right) + \arctan\left(x\right)^{2} + \frac{1}{4} \, \log\left(x^{2} + 1\right)^{2} - \frac{3}{2} \, \log\left(x^{2} + 1\right)"," ",0,"-1/2*(x^2 - (x^2 + 1)*log(x^2 + 1) + 1)*arctan(x)^2 - (x*log(x^2 + 1) - 3*x + 2*arctan(x))*arctan(x) + arctan(x)^2 + 1/4*log(x^2 + 1)^2 - 3/2*log(x^2 + 1)","A",0
47,0,0,0,0.000000," ","integrate(arctan(x*(x^2+1)^(1/2)),x, algorithm=""maxima"")","x \arctan\left(\sqrt{x^{2} + 1} x\right) - \int \frac{{\left(2 \, x^{3} + x\right)} \sqrt{x^{2} + 1}}{{\left(x^{4} + x^{2}\right)} {\left(x^{2} + 1\right)} + x^{2} + 1}\,{d x}"," ",0,"x*arctan(sqrt(x^2 + 1)*x) - integrate((2*x^3 + x)*sqrt(x^2 + 1)/((x^4 + x^2)*(x^2 + 1) + x^2 + 1), x)","F",0
48,1,26,0,1.126036," ","integrate(-arctan(x^(1/2)-(1+x)^(1/2)),x, algorithm=""maxima"")","x \arctan\left(\sqrt{x + 1} - \sqrt{x}\right) + \frac{1}{2} \, \sqrt{x} - \frac{1}{2} \, \arctan\left(\sqrt{x}\right)"," ",0,"x*arctan(sqrt(x + 1) - sqrt(x)) + 1/2*sqrt(x) - 1/2*arctan(sqrt(x))","A",0
49,0,0,0,0.000000," ","integrate(arcsin(x/(-x^2+1)^(1/2)),x, algorithm=""maxima"")","\int \arcsin\left(\frac{x}{\sqrt{-x^{2} + 1}}\right)\,{d x}"," ",0,"integrate(arcsin(x/sqrt(-x^2 + 1)), x)","F",0
50,0,0,0,0.000000," ","integrate(arctan(x*(-x^2+1)^(1/2)),x, algorithm=""maxima"")","x \arctan\left(\sqrt{x + 1} x \sqrt{-x + 1}\right) - \int \frac{{\left(2 \, x^{3} - x\right)} e^{\left(\frac{1}{2} \, \log\left(x + 1\right) + \frac{1}{2} \, \log\left(-x + 1\right)\right)}}{x^{2} + {\left(x^{4} - x^{2}\right)} e^{\left(\log\left(x + 1\right) + \log\left(-x + 1\right)\right)} - 1}\,{d x}"," ",0,"x*arctan(sqrt(x + 1)*x*sqrt(-x + 1)) - integrate((2*x^3 - x)*e^(1/2*log(x + 1) + 1/2*log(-x + 1))/(x^2 + (x^4 - x^2)*e^(log(x + 1) + log(-x + 1)) - 1), x)","F",0
