1,1,29,20,0.045000," ","int((2*x^8+1)*(x^8+1)^(1/2)/(x^17+2*x^9+x),x)","\frac{\ln \left(\frac{\sqrt{x^{8}+1}-1}{\sqrt{x^{8}}}\right)}{4}-\frac{1}{4 \sqrt{x^{8}+1}}"," ",0,"-1/4/(x^8+1)^(1/2)+1/4*ln(((x^8+1)^(1/2)-1)/(x^8)^(1/2))","A"
2,1,3,2,0.001000," ","int(1/(x^2+1),x)","\arctan \left(x \right)"," ",0,"arctan(x)","A"
3,1,19,10,0.000000," ","int(1/(x^8+1)^(1/2)/x,x)","\frac{\ln \left(\frac{\sqrt{x^{8}+1}-1}{\sqrt{x^{8}}}\right)}{4}"," ",0,"1/4*ln(((x^8+1)^(1/2)-1)/(x^8)^(1/2))","A"
4,1,158,210,0.111000," ","int(x/(-x^3+1)^(1/2),x)","-\frac{2 i \sqrt{3}\, \sqrt{i \left(x +\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}\, \sqrt{\frac{x -1}{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \sqrt{-i \left(x +\frac{1}{2}+\frac{i \sqrt{3}}{2}\right) \sqrt{3}}\, \left(\left(-\frac{3}{2}+\frac{i \sqrt{3}}{2}\right) \EllipticE \left(\frac{\sqrt{3}\, \sqrt{i \left(x +\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}}{3}, \sqrt{\frac{i \sqrt{3}}{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\right)+\EllipticF \left(\frac{\sqrt{3}\, \sqrt{i \left(x +\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}}{3}, \sqrt{\frac{i \sqrt{3}}{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\right)\right)}{3 \sqrt{-x^{3}+1}}"," ",0,"-2/3*I*3^(1/2)*(I*(x+1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2)*((x-1)/(-3/2+1/2*I*3^(1/2)))^(1/2)*(-I*(x+1/2+1/2*I*3^(1/2))*3^(1/2))^(1/2)/(-x^3+1)^(1/2)*((-3/2+1/2*I*3^(1/2))*EllipticE(1/3*3^(1/2)*(I*(x+1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2),(I*3^(1/2)/(-3/2+1/2*I*3^(1/2)))^(1/2))+EllipticF(1/3*3^(1/2)*(I*(x+1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2),(I*3^(1/2)/(-3/2+1/2*I*3^(1/2)))^(1/2)))","A"
5,1,13,12,0.027000," ","int(1/x/(-x^3+1)^(1/2),x)","-\frac{2 \arctanh \left(\sqrt{-x^{3}+1}\right)}{3}"," ",0,"-2/3*arctanh((-x^3+1)^(1/2))","A"
6,1,1290,72,0.894000," ","int(x/(x^4+10*x^2-96*x-71)^(1/2),x)","\text{Expression too large to display}"," ",0,"2*(RootOf(_Z^4+10*_Z^2-96*_Z-71,index=1)-RootOf(_Z^4+10*_Z^2-96*_Z-71,index=4))*((RootOf(_Z^4+10*_Z^2-96*_Z-71,index=4)-RootOf(_Z^4+10*_Z^2-96*_Z-71,index=2))*(x-RootOf(_Z^4+10*_Z^2-96*_Z-71,index=1))/(RootOf(_Z^4+10*_Z^2-96*_Z-71,index=4)-RootOf(_Z^4+10*_Z^2-96*_Z-71,index=1))/(x-RootOf(_Z^4+10*_Z^2-96*_Z-71,index=2)))^(1/2)*(x-RootOf(_Z^4+10*_Z^2-96*_Z-71,index=2))^2*(-(RootOf(_Z^4+10*_Z^2-96*_Z-71,index=2)-RootOf(_Z^4+10*_Z^2-96*_Z-71,index=1))*(x-RootOf(_Z^4+10*_Z^2-96*_Z-71,index=3))/(-RootOf(_Z^4+10*_Z^2-96*_Z-71,index=3)+RootOf(_Z^4+10*_Z^2-96*_Z-71,index=1))/(x-RootOf(_Z^4+10*_Z^2-96*_Z-71,index=2)))^(1/2)*((RootOf(_Z^4+10*_Z^2-96*_Z-71,index=2)-RootOf(_Z^4+10*_Z^2-96*_Z-71,index=1))*(x-RootOf(_Z^4+10*_Z^2-96*_Z-71,index=4))/(RootOf(_Z^4+10*_Z^2-96*_Z-71,index=4)-RootOf(_Z^4+10*_Z^2-96*_Z-71,index=1))/(x-RootOf(_Z^4+10*_Z^2-96*_Z-71,index=2)))^(1/2)/(RootOf(_Z^4+10*_Z^2-96*_Z-71,index=4)-RootOf(_Z^4+10*_Z^2-96*_Z-71,index=2))/(RootOf(_Z^4+10*_Z^2-96*_Z-71,index=2)-RootOf(_Z^4+10*_Z^2-96*_Z-71,index=1))/((x-RootOf(_Z^4+10*_Z^2-96*_Z-71,index=1))*(x-RootOf(_Z^4+10*_Z^2-96*_Z-71,index=2))*(x-RootOf(_Z^4+10*_Z^2-96*_Z-71,index=3))*(x-RootOf(_Z^4+10*_Z^2-96*_Z-71,index=4)))^(1/2)*(RootOf(_Z^4+10*_Z^2-96*_Z-71,index=2)*EllipticF(((RootOf(_Z^4+10*_Z^2-96*_Z-71,index=4)-RootOf(_Z^4+10*_Z^2-96*_Z-71,index=2))*(x-RootOf(_Z^4+10*_Z^2-96*_Z-71,index=1))/(RootOf(_Z^4+10*_Z^2-96*_Z-71,index=4)-RootOf(_Z^4+10*_Z^2-96*_Z-71,index=1))/(x-RootOf(_Z^4+10*_Z^2-96*_Z-71,index=2)))^(1/2),((RootOf(_Z^4+10*_Z^2-96*_Z-71,index=2)-RootOf(_Z^4+10*_Z^2-96*_Z-71,index=3))*(RootOf(_Z^4+10*_Z^2-96*_Z-71,index=1)-RootOf(_Z^4+10*_Z^2-96*_Z-71,index=4))/(-RootOf(_Z^4+10*_Z^2-96*_Z-71,index=3)+RootOf(_Z^4+10*_Z^2-96*_Z-71,index=1))/(RootOf(_Z^4+10*_Z^2-96*_Z-71,index=2)-RootOf(_Z^4+10*_Z^2-96*_Z-71,index=4)))^(1/2))+(RootOf(_Z^4+10*_Z^2-96*_Z-71,index=1)-RootOf(_Z^4+10*_Z^2-96*_Z-71,index=2))*EllipticPi(((RootOf(_Z^4+10*_Z^2-96*_Z-71,index=4)-RootOf(_Z^4+10*_Z^2-96*_Z-71,index=2))*(x-RootOf(_Z^4+10*_Z^2-96*_Z-71,index=1))/(RootOf(_Z^4+10*_Z^2-96*_Z-71,index=4)-RootOf(_Z^4+10*_Z^2-96*_Z-71,index=1))/(x-RootOf(_Z^4+10*_Z^2-96*_Z-71,index=2)))^(1/2),(RootOf(_Z^4+10*_Z^2-96*_Z-71,index=4)-RootOf(_Z^4+10*_Z^2-96*_Z-71,index=1))/(RootOf(_Z^4+10*_Z^2-96*_Z-71,index=4)-RootOf(_Z^4+10*_Z^2-96*_Z-71,index=2)),((RootOf(_Z^4+10*_Z^2-96*_Z-71,index=2)-RootOf(_Z^4+10*_Z^2-96*_Z-71,index=3))*(RootOf(_Z^4+10*_Z^2-96*_Z-71,index=1)-RootOf(_Z^4+10*_Z^2-96*_Z-71,index=4))/(-RootOf(_Z^4+10*_Z^2-96*_Z-71,index=3)+RootOf(_Z^4+10*_Z^2-96*_Z-71,index=1))/(RootOf(_Z^4+10*_Z^2-96*_Z-71,index=2)-RootOf(_Z^4+10*_Z^2-96*_Z-71,index=4)))^(1/2)))","C"
7,1,17,11,0.025000," ","int((x-tan(x))/tan(x)^2,x)","\frac{-\frac{x^{2} \tan \left(x \right)}{2}-x}{\tan \left(x \right)}"," ",0,"(-x-1/2*x^2*tan(x))/tan(x)","A"
8,1,43,32,0.053000," ","int(1+x*tan(x)+tan(x)^2,x)","\frac{i x^{2}}{2}-x \ln \left({\mathrm e}^{2 i x}+1\right)+\frac{i \polylog \left(2, -{\mathrm e}^{2 i x}\right)}{2}+\frac{2 i}{{\mathrm e}^{2 i x}+1}"," ",0,"1/2*I*x^2-x*ln(1+exp(2*I*x))+1/2*I*polylog(2,-exp(2*I*x))+2*I/(1+exp(2*I*x))","A"
9,1,3,2,0.016000," ","int(sin(x)/x,x)","\Si \left(x \right)"," ",0,"Si(x)","A"
10,0,0,14,0.020000," ","int((5*x^2+3*(exp(x)+x)^(1/3)+exp(x)*(2*x^2+3*x))/x/(exp(x)+x)^(1/3),x)","\int \frac{5 x^{2}+\left(2 x^{2}+3 x \right) {\mathrm e}^{x}+3 \left(x +{\mathrm e}^{x}\right)^{\frac{1}{3}}}{\left(x +{\mathrm e}^{x}\right)^{\frac{1}{3}} x}\, dx"," ",0,"int((5*x^2+3*(exp(x)+x)^(1/3)+exp(x)*(2*x^2+3*x))/x/(exp(x)+x)^(1/3),x)","F"
11,1,12,11,0.006000," ","int(1/x+(1/x+1)/(x+ln(x))^(3/2),x)","\ln \left(x \right)-\frac{2}{\sqrt{x +\ln \left(x \right)}}"," ",0,"ln(x)-2/(x+ln(x))^(1/2)","A"
12,0,0,11,0.017000," ","int((x^2+2*x*ln(x)+ln(x)^2+(x+1)*(x+ln(x))^(1/2))/(x^3+2*x^2*ln(x)+x*ln(x)^2),x)","\int \frac{x^{2}+2 x \ln \left(x \right)+\ln \left(x \right)^{2}+\left(x +1\right) \sqrt{x +\ln \left(x \right)}}{x^{3}+2 x^{2} \ln \left(x \right)+x \ln \left(x \right)^{2}}\, dx"," ",0,"int((x^2+2*x*ln(x)+ln(x)^2+(x+1)*(x+ln(x))^(1/2))/(x^3+2*x^2*ln(x)+x*ln(x)^2),x)","F"
13,0,0,19,0.023000," ","int((-x^2-ln(x)+2*ln(x)^2)/(-x^2*ln(x)+ln(x)^3),x)","\int \frac{-x^{2}+2 \ln \left(x \right)^{2}-\ln \left(x \right)}{-x^{2} \ln \left(x \right)+\ln \left(x \right)^{3}}\, dx"," ",0,"int((-x^2-ln(x)+2*ln(x)^2)/(-x^2*ln(x)+ln(x)^3),x)","F"
14,1,23,33,0.021000," ","int((x^4-3*x^2+6)/(x^6-5*x^4+5*x^2+4),x)","\arctan \left(x \right)+\arctan \left(x^{3}\right)+\arctan \left(\frac{1}{2} x^{5}-\frac{3}{2} x^{3}+\frac{1}{2} x \right)"," ",0,"arctan(1/2*x^5-3/2*x^3+1/2*x)+arctan(x^3)+arctan(x)","A"