1,1,14,13,0.002000," ","int(1/(-a*x+1)^(1/2),x)","-\frac{2 \sqrt{-a x +1}}{a}"," ",0,"-2*(-a*x+1)^(1/2)/a","A"
2,1,34,13,0.004000," ","int(1/2*(ln(a*x-1)-2*ln(-(a*x-1)^(1/2)))/Pi/(a*x-1)^(1/2),x)","\frac{\sqrt{a x -1}\, \left(-2 \ln \left(-\sqrt{a x -1}\right)+\ln \left(a x -1\right)\right)}{\pi  a}"," ",0,"(a*x-1)^(1/2)*(ln(a*x-1)-2*ln(-(a*x-1)^(1/2)))/a/Pi","C"
3,1,370,60,0.049000," ","int(1/(2*x+(x^2+1)^(1/2))^2,x)","-\frac{x}{2 \left(3 x^{2}-1\right)}-\frac{5 x}{18 \left(x^{2}-\frac{1}{3}\right)}-\frac{\sqrt{3}\, \arctanh \left(\sqrt{3}\, x \right)}{9}-\sqrt{3}\, \left(\frac{\sqrt{\left(x -\frac{\sqrt{3}}{3}\right)^{2}+\frac{2 \sqrt{3}\, \left(x -\frac{\sqrt{3}}{3}\right)}{3}+\frac{4}{3}}\, x}{12}+\frac{\arcsinh \left(x \right)}{12}-\frac{\left(\left(x -\frac{\sqrt{3}}{3}\right)^{2}+\frac{2 \sqrt{3}\, \left(x -\frac{\sqrt{3}}{3}\right)}{3}+\frac{4}{3}\right)^{\frac{3}{2}}}{12 \left(x -\frac{\sqrt{3}}{3}\right)}+\frac{\sqrt{3}\, \left(\frac{\sqrt{3}\, \arcsinh \left(x \right)}{3}-\frac{2 \sqrt{3}\, \arctanh \left(\frac{3 \left(\frac{8}{3}+\frac{2 \sqrt{3}\, \left(x -\frac{\sqrt{3}}{3}\right)}{3}\right) \sqrt{3}}{4 \sqrt{9 \left(x -\frac{\sqrt{3}}{3}\right)^{2}+6 \sqrt{3}\, \left(x -\frac{\sqrt{3}}{3}\right)+12}}\right)}{3}+\frac{\sqrt{9 \left(x -\frac{\sqrt{3}}{3}\right)^{2}+6 \sqrt{3}\, \left(x -\frac{\sqrt{3}}{3}\right)+12}}{3}\right)}{36}\right)+\sqrt{3}\, \left(\frac{\sqrt{\left(x +\frac{\sqrt{3}}{3}\right)^{2}-\frac{2 \sqrt{3}\, \left(x +\frac{\sqrt{3}}{3}\right)}{3}+\frac{4}{3}}\, x}{12}+\frac{\arcsinh \left(x \right)}{12}-\frac{\left(\left(x +\frac{\sqrt{3}}{3}\right)^{2}-\frac{2 \sqrt{3}\, \left(x +\frac{\sqrt{3}}{3}\right)}{3}+\frac{4}{3}\right)^{\frac{3}{2}}}{12 \left(x +\frac{\sqrt{3}}{3}\right)}-\frac{\sqrt{3}\, \left(-\frac{\sqrt{3}\, \arcsinh \left(x \right)}{3}-\frac{2 \sqrt{3}\, \arctanh \left(\frac{3 \left(\frac{8}{3}-\frac{2 \sqrt{3}\, \left(x +\frac{\sqrt{3}}{3}\right)}{3}\right) \sqrt{3}}{4 \sqrt{9 \left(x +\frac{\sqrt{3}}{3}\right)^{2}-6 \sqrt{3}\, \left(x +\frac{\sqrt{3}}{3}\right)+12}}\right)}{3}+\frac{\sqrt{9 \left(x +\frac{\sqrt{3}}{3}\right)^{2}-6 \sqrt{3}\, \left(x +\frac{\sqrt{3}}{3}\right)+12}}{3}\right)}{36}\right)"," ",0,"-1/2*x/(3*x^2-1)-1/9*arctanh(3^(1/2)*x)*3^(1/2)-5/18*x/(x^2-1/3)-3^(1/2)*(-1/12/(x-1/3*3^(1/2))*((x-1/3*3^(1/2))^2+2/3*3^(1/2)*(x-1/3*3^(1/2))+4/3)^(3/2)+1/36*3^(1/2)*(1/3*(9*(x-1/3*3^(1/2))^2+6*3^(1/2)*(x-1/3*3^(1/2))+12)^(1/2)+1/3*3^(1/2)*arcsinh(x)-2/3*3^(1/2)*arctanh(3/4*(8/3+2/3*3^(1/2)*(x-1/3*3^(1/2)))*3^(1/2)/(9*(x-1/3*3^(1/2))^2+6*3^(1/2)*(x-1/3*3^(1/2))+12)^(1/2)))+1/12*x*((x-1/3*3^(1/2))^2+2/3*3^(1/2)*(x-1/3*3^(1/2))+4/3)^(1/2)+1/12*arcsinh(x))+3^(1/2)*(-1/12/(x+1/3*3^(1/2))*((x+1/3*3^(1/2))^2-2/3*3^(1/2)*(x+1/3*3^(1/2))+4/3)^(3/2)-1/36*3^(1/2)*(1/3*(9*(x+1/3*3^(1/2))^2-6*3^(1/2)*(x+1/3*3^(1/2))+12)^(1/2)-1/3*3^(1/2)*arcsinh(x)-2/3*3^(1/2)*arctanh(3/4*(8/3-2/3*3^(1/2)*(x+1/3*3^(1/2)))*3^(1/2)/(9*(x+1/3*3^(1/2))^2-6*3^(1/2)*(x+1/3*3^(1/2))+12)^(1/2)))+1/12*x*((x+1/3*3^(1/2))^2-2/3*3^(1/2)*(x+1/3*3^(1/2))+4/3)^(1/2)+1/12*arcsinh(x))","B"
4,1,172,33,0.053000," ","int(1/(3*x^2-4)^2/(x^2-1)^(1/2),x)","\frac{5 \arctanh \left(\frac{3 \left(\frac{2}{3}+\frac{4 \sqrt{3}\, \left(x -\frac{2 \sqrt{3}}{3}\right)}{3}\right) \sqrt{3}}{2 \sqrt{9 \left(x -\frac{2 \sqrt{3}}{3}\right)^{2}+12 \sqrt{3}\, \left(x -\frac{2 \sqrt{3}}{3}\right)+3}}\right)}{32}-\frac{5 \arctanh \left(\frac{3 \left(\frac{2}{3}-\frac{4 \sqrt{3}\, \left(x +\frac{2 \sqrt{3}}{3}\right)}{3}\right) \sqrt{3}}{2 \sqrt{9 \left(x +\frac{2 \sqrt{3}}{3}\right)^{2}-12 \sqrt{3}\, \left(x +\frac{2 \sqrt{3}}{3}\right)+3}}\right)}{32}-\frac{\sqrt{\left(x +\frac{2 \sqrt{3}}{3}\right)^{2}-\frac{4 \sqrt{3}\, \left(x +\frac{2 \sqrt{3}}{3}\right)}{3}+\frac{1}{3}}}{16 \left(x +\frac{2 \sqrt{3}}{3}\right)}-\frac{\sqrt{\left(x -\frac{2 \sqrt{3}}{3}\right)^{2}+\frac{4 \sqrt{3}\, \left(x -\frac{2 \sqrt{3}}{3}\right)}{3}+\frac{1}{3}}}{16 \left(x -\frac{2 \sqrt{3}}{3}\right)}"," ",0,"-5/32*arctanh(3/2*(2/3-4/3*3^(1/2)*(x+2/3*3^(1/2)))*3^(1/2)/(9*(x+2/3*3^(1/2))^2-12*3^(1/2)*(x+2/3*3^(1/2))+3)^(1/2))+5/32*arctanh(3/2*(2/3+4/3*3^(1/2)*(x-2/3*3^(1/2)))*3^(1/2)/(9*(x-2/3*3^(1/2))^2+12*3^(1/2)*(x-2/3*3^(1/2))+3)^(1/2))-1/16/(x+2/3*3^(1/2))*((x+2/3*3^(1/2))^2-4/3*3^(1/2)*(x+2/3*3^(1/2))+1/3)^(1/2)-1/16/(x-2/3*3^(1/2))*((x-2/3*3^(1/2))^2+4/3*3^(1/2)*(x-2/3*3^(1/2))+1/3)^(1/2)","B"
5,1,115,54,0.017000," ","int(1/(2*x^(1/2)+(x+1)^(1/2))^2,x)","\frac{5 \ln \left(3 x -1\right)}{9}-\frac{\sqrt{x +1}\, \left(-15 x \arctanh \left(\frac{5 x +1}{4 \sqrt{\left(x +1\right) x}}\right)+12 x \ln \left(x +\frac{1}{2}+\sqrt{\left(x +1\right) x}\right)+5 \arctanh \left(\frac{5 x +1}{4 \sqrt{\left(x +1\right) x}}\right)-4 \ln \left(x +\frac{1}{2}+\sqrt{\left(x +1\right) x}\right)-12 \sqrt{\left(x +1\right) x}\right) \sqrt{x}}{9 \sqrt{\left(x +1\right) x}\, \left(3 x -1\right)}-\frac{8}{9 \left(3 x -1\right)}"," ",0,"-8/9/(3*x-1)+5/9*ln(3*x-1)-1/9*x^(1/2)*(x+1)^(1/2)*(12*ln(1/2+x+((x+1)*x)^(1/2))*x-15*arctanh(1/4*(1+5*x)/((x+1)*x)^(1/2))*x-4*ln(1/2+x+((x+1)*x)^(1/2))+5*arctanh(1/4*(1+5*x)/((x+1)*x)^(1/2))-12*((x+1)*x)^(1/2))/((x+1)*x)^(1/2)/(3*x-1)","B"
6,1,125,52,0.039000," ","int((x^2-1)^(1/2)/(x-I)^2,x)","-\frac{\sqrt{\left(x -i\right)^{2}-2+2 i \left(x -i\right)}\, x}{2}+\frac{i \sqrt{2}\, \arctan \left(\frac{\left(-4+2 i \left(x -i\right)\right) \sqrt{2}}{4 \sqrt{\left(x -i\right)^{2}-2+2 i \left(x -i\right)}}\right)}{2}+\ln \left(x +\sqrt{\left(x -i\right)^{2}-2+2 i \left(x -i\right)}\right)+\frac{\left(\left(x -i\right)^{2}-2+2 i \left(x -i\right)\right)^{\frac{3}{2}}}{2 x -2 i}-\frac{i \sqrt{\left(x -i\right)^{2}-2+2 i \left(x -i\right)}}{2}"," ",0,"1/2/(x-I)*((x-I)^2-2+2*I*(x-I))^(3/2)+ln(x+((x-I)^2-2+2*I*(x-I))^(1/2))+1/2*I*2^(1/2)*arctan(1/4*(-4+2*I*(x-I))*2^(1/2)/((x-I)^2-2+2*I*(x-I))^(1/2))-1/2*I*((x-I)^2-2+2*I*(x-I))^(1/2)-1/2*x*((x-I)^2-2+2*I*(x-I))^(1/2)","B"
7,1,45,36,0.021000," ","int(1/(x^2+1)^2/(x^2-1)^(1/2),x)","-\frac{x}{8 \sqrt{x^{2}-1}\, \left(\frac{x^{2}}{x^{2}-1}-\frac{1}{2}\right)}+\frac{3 \sqrt{2}\, \arctanh \left(\frac{\sqrt{2}\, x}{\sqrt{x^{2}-1}}\right)}{8}"," ",0,"-1/8*x/(x^2-1)^(1/2)/(x^2/(x^2-1)-1/2)+3/8*arctanh(x*2^(1/2)/(x^2-1)^(1/2))*2^(1/2)","A"
8,1,21,20,0.004000," ","int(1/(x-1)^(1/2)/((x-1)^(1/2)+x^(1/2))^2,x)","-\frac{4 x^{\frac{3}{2}}}{3}+\frac{4 \left(x -1\right)^{\frac{3}{2}}}{3}+2 \sqrt{x -1}"," ",0,"4/3*(x-1)^(3/2)-4/3*x^(3/2)+2*(x-1)^(1/2)","A"
9,1,902,158,0.138000," ","int(1/(x^2-1)^(1/2)/(x^(1/2)+(x^2-1)^(1/2))^2,x)","-\frac{4 \arctanh \left(\frac{2 \sqrt{x}}{\sqrt{2+2 \sqrt{5}}}\right)}{5 \sqrt{2+2 \sqrt{5}}}-\frac{8 \sqrt{5}\, \arctanh \left(\frac{2 \sqrt{x}}{\sqrt{2+2 \sqrt{5}}}\right)}{25 \sqrt{2+2 \sqrt{5}}}-\frac{6 \sqrt{5}\, \arctanh \left(\frac{2+2 \sqrt{5}+2 \left(\sqrt{5}+1\right) \left(x -\frac{\sqrt{5}}{2}-\frac{1}{2}\right)}{\sqrt{2+2 \sqrt{5}}\, \sqrt{4 \left(x -\frac{\sqrt{5}}{2}-\frac{1}{2}\right)^{2}+4 \left(\sqrt{5}+1\right) \left(x -\frac{\sqrt{5}}{2}-\frac{1}{2}\right)+2+2 \sqrt{5}}}\right)}{25 \sqrt{2+2 \sqrt{5}}}+\frac{6 \arctanh \left(\frac{2+2 \sqrt{5}+2 \left(\sqrt{5}+1\right) \left(x -\frac{\sqrt{5}}{2}-\frac{1}{2}\right)}{\sqrt{2+2 \sqrt{5}}\, \sqrt{4 \left(x -\frac{\sqrt{5}}{2}-\frac{1}{2}\right)^{2}+4 \left(\sqrt{5}+1\right) \left(x -\frac{\sqrt{5}}{2}-\frac{1}{2}\right)+2+2 \sqrt{5}}}\right)}{5 \left(\frac{1}{2}+\frac{\sqrt{5}}{2}\right) \sqrt{2+2 \sqrt{5}}}+\frac{2 \sqrt{5}\, \arctanh \left(\frac{2+2 \sqrt{5}+2 \left(\sqrt{5}+1\right) \left(x -\frac{\sqrt{5}}{2}-\frac{1}{2}\right)}{\sqrt{2+2 \sqrt{5}}\, \sqrt{4 \left(x -\frac{\sqrt{5}}{2}-\frac{1}{2}\right)^{2}+4 \left(\sqrt{5}+1\right) \left(x -\frac{\sqrt{5}}{2}-\frac{1}{2}\right)+2+2 \sqrt{5}}}\right)}{5 \left(\frac{1}{2}+\frac{\sqrt{5}}{2}\right) \sqrt{2+2 \sqrt{5}}}+\frac{4 \arctan \left(\frac{2 \sqrt{x}}{\sqrt{-2+2 \sqrt{5}}}\right)}{5 \sqrt{-2+2 \sqrt{5}}}-\frac{8 \sqrt{5}\, \arctan \left(\frac{2 \sqrt{x}}{\sqrt{-2+2 \sqrt{5}}}\right)}{25 \sqrt{-2+2 \sqrt{5}}}+\frac{2 \sqrt{5}\, \arctan \left(\frac{2-2 \sqrt{5}+2 \left(-\sqrt{5}+1\right) \left(x +\frac{\sqrt{5}}{2}-\frac{1}{2}\right)}{\sqrt{-2+2 \sqrt{5}}\, \sqrt{4 \left(x +\frac{\sqrt{5}}{2}-\frac{1}{2}\right)^{2}+4 \left(-\sqrt{5}+1\right) \left(x +\frac{\sqrt{5}}{2}-\frac{1}{2}\right)+2-2 \sqrt{5}}}\right)}{5 \left(\frac{1}{2}-\frac{\sqrt{5}}{2}\right) \sqrt{-2+2 \sqrt{5}}}-\frac{6 \arctan \left(\frac{2-2 \sqrt{5}+2 \left(-\sqrt{5}+1\right) \left(x +\frac{\sqrt{5}}{2}-\frac{1}{2}\right)}{\sqrt{-2+2 \sqrt{5}}\, \sqrt{4 \left(x +\frac{\sqrt{5}}{2}-\frac{1}{2}\right)^{2}+4 \left(-\sqrt{5}+1\right) \left(x +\frac{\sqrt{5}}{2}-\frac{1}{2}\right)+2-2 \sqrt{5}}}\right)}{5 \left(\frac{1}{2}-\frac{\sqrt{5}}{2}\right) \sqrt{-2+2 \sqrt{5}}}-\frac{6 \sqrt{5}\, \arctan \left(\frac{2-2 \sqrt{5}+2 \left(-\sqrt{5}+1\right) \left(x +\frac{\sqrt{5}}{2}-\frac{1}{2}\right)}{\sqrt{-2+2 \sqrt{5}}\, \sqrt{4 \left(x +\frac{\sqrt{5}}{2}-\frac{1}{2}\right)^{2}+4 \left(-\sqrt{5}+1\right) \left(x +\frac{\sqrt{5}}{2}-\frac{1}{2}\right)+2-2 \sqrt{5}}}\right)}{25 \sqrt{-2+2 \sqrt{5}}}+\frac{2 \sqrt{x}}{5 \left(x +\frac{\sqrt{5}}{2}-\frac{1}{2}\right)}+\frac{2 \sqrt{x}}{5 \left(x -\frac{\sqrt{5}}{2}-\frac{1}{2}\right)}-\frac{\sqrt{\left(x +\frac{\sqrt{5}}{2}-\frac{1}{2}\right)^{2}+\left(-\sqrt{5}+1\right) \left(x +\frac{\sqrt{5}}{2}-\frac{1}{2}\right)+\frac{1}{2}-\frac{\sqrt{5}}{2}}}{5 \left(\frac{1}{2}-\frac{\sqrt{5}}{2}\right) \left(x +\frac{\sqrt{5}}{2}-\frac{1}{2}\right)}+\frac{\sqrt{5}\, \sqrt{\left(x +\frac{\sqrt{5}}{2}-\frac{1}{2}\right)^{2}+\left(-\sqrt{5}+1\right) \left(x +\frac{\sqrt{5}}{2}-\frac{1}{2}\right)+\frac{1}{2}-\frac{\sqrt{5}}{2}}}{5 \left(\frac{1}{2}-\frac{\sqrt{5}}{2}\right) \left(x +\frac{\sqrt{5}}{2}-\frac{1}{2}\right)}-\frac{\sqrt{\left(x -\frac{\sqrt{5}}{2}-\frac{1}{2}\right)^{2}+\left(\sqrt{5}+1\right) \left(x -\frac{\sqrt{5}}{2}-\frac{1}{2}\right)+\frac{1}{2}+\frac{\sqrt{5}}{2}}}{5 \left(\frac{1}{2}+\frac{\sqrt{5}}{2}\right) \left(x -\frac{\sqrt{5}}{2}-\frac{1}{2}\right)}-\frac{\sqrt{5}\, \sqrt{\left(x -\frac{\sqrt{5}}{2}-\frac{1}{2}\right)^{2}+\left(\sqrt{5}+1\right) \left(x -\frac{\sqrt{5}}{2}-\frac{1}{2}\right)+\frac{1}{2}+\frac{\sqrt{5}}{2}}}{5 \left(\frac{1}{2}+\frac{\sqrt{5}}{2}\right) \left(x -\frac{\sqrt{5}}{2}-\frac{1}{2}\right)}"," ",0,"-1/5/(1/2-1/2*5^(1/2))/(x+1/2*5^(1/2)-1/2)*((x+1/2*5^(1/2)-1/2)^2+(-5^(1/2)+1)*(x+1/2*5^(1/2)-1/2)+1/2-1/2*5^(1/2))^(1/2)+2/5/(1/2-1/2*5^(1/2))/(-2+2*5^(1/2))^(1/2)*arctan(2*(1-5^(1/2)+(-5^(1/2)+1)*(x+1/2*5^(1/2)-1/2))/(-2+2*5^(1/2))^(1/2)/(4*(x+1/2*5^(1/2)-1/2)^2+4*(-5^(1/2)+1)*(x+1/2*5^(1/2)-1/2)+2-2*5^(1/2))^(1/2))*5^(1/2)-6/5/(1/2-1/2*5^(1/2))/(-2+2*5^(1/2))^(1/2)*arctan(2*(1-5^(1/2)+(-5^(1/2)+1)*(x+1/2*5^(1/2)-1/2))/(-2+2*5^(1/2))^(1/2)/(4*(x+1/2*5^(1/2)-1/2)^2+4*(-5^(1/2)+1)*(x+1/2*5^(1/2)-1/2)+2-2*5^(1/2))^(1/2))+1/5*5^(1/2)/(1/2-1/2*5^(1/2))/(x+1/2*5^(1/2)-1/2)*((x+1/2*5^(1/2)-1/2)^2+(-5^(1/2)+1)*(x+1/2*5^(1/2)-1/2)+1/2-1/2*5^(1/2))^(1/2)-6/25*5^(1/2)/(2+2*5^(1/2))^(1/2)*arctanh(2*(1+5^(1/2)+(5^(1/2)+1)*(x-1/2*5^(1/2)-1/2))/(2+2*5^(1/2))^(1/2)/(4*(x-1/2*5^(1/2)-1/2)^2+4*(5^(1/2)+1)*(x-1/2*5^(1/2)-1/2)+2+2*5^(1/2))^(1/2))-1/5/(1/2+1/2*5^(1/2))/(x-1/2*5^(1/2)-1/2)*((x-1/2*5^(1/2)-1/2)^2+(5^(1/2)+1)*(x-1/2*5^(1/2)-1/2)+1/2+1/2*5^(1/2))^(1/2)+6/5/(1/2+1/2*5^(1/2))/(2+2*5^(1/2))^(1/2)*arctanh(2*(1+5^(1/2)+(5^(1/2)+1)*(x-1/2*5^(1/2)-1/2))/(2+2*5^(1/2))^(1/2)/(4*(x-1/2*5^(1/2)-1/2)^2+4*(5^(1/2)+1)*(x-1/2*5^(1/2)-1/2)+2+2*5^(1/2))^(1/2))+2/5/(1/2+1/2*5^(1/2))/(2+2*5^(1/2))^(1/2)*arctanh(2*(1+5^(1/2)+(5^(1/2)+1)*(x-1/2*5^(1/2)-1/2))/(2+2*5^(1/2))^(1/2)/(4*(x-1/2*5^(1/2)-1/2)^2+4*(5^(1/2)+1)*(x-1/2*5^(1/2)-1/2)+2+2*5^(1/2))^(1/2))*5^(1/2)-1/5*5^(1/2)/(1/2+1/2*5^(1/2))/(x-1/2*5^(1/2)-1/2)*((x-1/2*5^(1/2)-1/2)^2+(5^(1/2)+1)*(x-1/2*5^(1/2)-1/2)+1/2+1/2*5^(1/2))^(1/2)-6/25*5^(1/2)/(-2+2*5^(1/2))^(1/2)*arctan(2*(1-5^(1/2)+(-5^(1/2)+1)*(x+1/2*5^(1/2)-1/2))/(-2+2*5^(1/2))^(1/2)/(4*(x+1/2*5^(1/2)-1/2)^2+4*(-5^(1/2)+1)*(x+1/2*5^(1/2)-1/2)+2-2*5^(1/2))^(1/2))+2/5*x^(1/2)/(x+1/2*5^(1/2)-1/2)+4/5/(-2+2*5^(1/2))^(1/2)*arctan(2*x^(1/2)/(-2+2*5^(1/2))^(1/2))-8/25/(-2+2*5^(1/2))^(1/2)*arctan(2*x^(1/2)/(-2+2*5^(1/2))^(1/2))*5^(1/2)+2/5*x^(1/2)/(x-1/2*5^(1/2)-1/2)-4/5/(2+2*5^(1/2))^(1/2)*arctanh(2*x^(1/2)/(2+2*5^(1/2))^(1/2))-8/25/(2+2*5^(1/2))^(1/2)*arctanh(2*x^(1/2)/(2+2*5^(1/2))^(1/2))*5^(1/2)","B"
10,1,1542,158,0.023000," ","int((x^(1/2)-(x^2-1)^(1/2))^2/(-x^2+x+1)^2/(x^2-1)^(1/2),x)","\frac{4 \sqrt{5}\, \arctanh \left(\frac{2+2 \sqrt{5}+2 \left(\sqrt{5}+1\right) \left(x -\frac{\sqrt{5}}{2}-\frac{1}{2}\right)}{\sqrt{2+2 \sqrt{5}}\, \sqrt{4 \left(x -\frac{\sqrt{5}}{2}-\frac{1}{2}\right)^{2}+4 \left(\sqrt{5}+1\right) \left(x -\frac{\sqrt{5}}{2}-\frac{1}{2}\right)+2+2 \sqrt{5}}}\right)}{25 \sqrt{2+2 \sqrt{5}}}+\frac{4 \sqrt{5}\, \arctan \left(\frac{2-2 \sqrt{5}+2 \left(-\sqrt{5}+1\right) \left(x +\frac{\sqrt{5}}{2}-\frac{1}{2}\right)}{\sqrt{-2+2 \sqrt{5}}\, \sqrt{4 \left(x +\frac{\sqrt{5}}{2}-\frac{1}{2}\right)^{2}+4 \left(-\sqrt{5}+1\right) \left(x +\frac{\sqrt{5}}{2}-\frac{1}{2}\right)+2-2 \sqrt{5}}}\right)}{25 \sqrt{-2+2 \sqrt{5}}}-\frac{8 \sqrt{5}\, \arctan \left(\frac{2 \sqrt{x}}{\sqrt{-2+2 \sqrt{5}}}\right)}{25 \sqrt{-2+2 \sqrt{5}}}-\frac{8 \sqrt{5}\, \arctanh \left(\frac{2 \sqrt{x}}{\sqrt{2+2 \sqrt{5}}}\right)}{25 \sqrt{2+2 \sqrt{5}}}-\frac{\sqrt{\left(x +\frac{\sqrt{5}}{2}-\frac{1}{2}\right)^{2}+\left(-\sqrt{5}+1\right) \left(x +\frac{\sqrt{5}}{2}-\frac{1}{2}\right)+\frac{1}{2}-\frac{\sqrt{5}}{2}}}{10 \left(\frac{1}{2}-\frac{\sqrt{5}}{2}\right) \left(x +\frac{\sqrt{5}}{2}-\frac{1}{2}\right)}-\frac{\sqrt{\left(x -\frac{\sqrt{5}}{2}-\frac{1}{2}\right)^{2}+\left(\sqrt{5}+1\right) \left(x -\frac{\sqrt{5}}{2}-\frac{1}{2}\right)+\frac{1}{2}+\frac{\sqrt{5}}{2}}}{10 \left(\frac{1}{2}+\frac{\sqrt{5}}{2}\right) \left(x -\frac{\sqrt{5}}{2}-\frac{1}{2}\right)}+\frac{4 \arctan \left(\frac{2 \sqrt{x}}{\sqrt{-2+2 \sqrt{5}}}\right)}{5 \sqrt{-2+2 \sqrt{5}}}+\frac{2 \sqrt{x}}{5 \left(x -\frac{\sqrt{5}}{2}-\frac{1}{2}\right)}+\frac{\sqrt{5}\, \sqrt{4 \left(x +\frac{\sqrt{5}}{2}-\frac{1}{2}\right)^{2}+4 \left(-\sqrt{5}+1\right) \left(x +\frac{\sqrt{5}}{2}-\frac{1}{2}\right)+2-2 \sqrt{5}}}{25}+\frac{\sqrt{5}\, \ln \left(x +\sqrt{\left(x +\frac{\sqrt{5}}{2}-\frac{1}{2}\right)^{2}+\left(-\sqrt{5}+1\right) \left(x +\frac{\sqrt{5}}{2}-\frac{1}{2}\right)+\frac{1}{2}-\frac{\sqrt{5}}{2}}\right)}{25}-\frac{\sqrt{5}\, \sqrt{4 \left(x -\frac{\sqrt{5}}{2}-\frac{1}{2}\right)^{2}+4 \left(\sqrt{5}+1\right) \left(x -\frac{\sqrt{5}}{2}-\frac{1}{2}\right)+2+2 \sqrt{5}}}{25}-\frac{\sqrt{5}\, \ln \left(x +\sqrt{\left(x -\frac{\sqrt{5}}{2}-\frac{1}{2}\right)^{2}+\left(\sqrt{5}+1\right) \left(x -\frac{\sqrt{5}}{2}-\frac{1}{2}\right)+\frac{1}{2}+\frac{\sqrt{5}}{2}}\right)}{25}-\frac{2 \arctan \left(\frac{2-2 \sqrt{5}+2 \left(-\sqrt{5}+1\right) \left(x +\frac{\sqrt{5}}{2}-\frac{1}{2}\right)}{\sqrt{-2+2 \sqrt{5}}\, \sqrt{4 \left(x +\frac{\sqrt{5}}{2}-\frac{1}{2}\right)^{2}+4 \left(-\sqrt{5}+1\right) \left(x +\frac{\sqrt{5}}{2}-\frac{1}{2}\right)+2-2 \sqrt{5}}}\right)}{5 \sqrt{-2+2 \sqrt{5}}}+\frac{2 \sqrt{x}}{5 \left(x +\frac{\sqrt{5}}{2}-\frac{1}{2}\right)}+\frac{2 \arctanh \left(\frac{2+2 \sqrt{5}+2 \left(\sqrt{5}+1\right) \left(x -\frac{\sqrt{5}}{2}-\frac{1}{2}\right)}{\sqrt{2+2 \sqrt{5}}\, \sqrt{4 \left(x -\frac{\sqrt{5}}{2}-\frac{1}{2}\right)^{2}+4 \left(\sqrt{5}+1\right) \left(x -\frac{\sqrt{5}}{2}-\frac{1}{2}\right)+2+2 \sqrt{5}}}\right)}{5 \sqrt{2+2 \sqrt{5}}}+\frac{\sqrt{\left(x +\frac{\sqrt{5}}{2}-\frac{1}{2}\right)^{2}+\left(-\sqrt{5}+1\right) \left(x +\frac{\sqrt{5}}{2}-\frac{1}{2}\right)+\frac{1}{2}-\frac{\sqrt{5}}{2}}\, x}{\frac{5}{2}-\frac{5 \sqrt{5}}{2}}+\frac{\sqrt{\left(x -\frac{\sqrt{5}}{2}-\frac{1}{2}\right)^{2}+\left(\sqrt{5}+1\right) \left(x -\frac{\sqrt{5}}{2}-\frac{1}{2}\right)+\frac{1}{2}+\frac{\sqrt{5}}{2}}\, x}{\frac{5}{2}+\frac{5 \sqrt{5}}{2}}+\frac{\sqrt{5}\, \sqrt{4 \left(x -\frac{\sqrt{5}}{2}-\frac{1}{2}\right)^{2}+4 \left(\sqrt{5}+1\right) \left(x -\frac{\sqrt{5}}{2}-\frac{1}{2}\right)+2+2 \sqrt{5}}}{10+10 \sqrt{5}}+\frac{\sqrt{5}\, \ln \left(x +\sqrt{\left(x -\frac{\sqrt{5}}{2}-\frac{1}{2}\right)^{2}+\left(\sqrt{5}+1\right) \left(x -\frac{\sqrt{5}}{2}-\frac{1}{2}\right)+\frac{1}{2}+\frac{\sqrt{5}}{2}}\right)}{5+5 \sqrt{5}}+\frac{\ln \left(x +\sqrt{\left(x +\frac{\sqrt{5}}{2}-\frac{1}{2}\right)^{2}+\left(-\sqrt{5}+1\right) \left(x +\frac{\sqrt{5}}{2}-\frac{1}{2}\right)+\frac{1}{2}-\frac{\sqrt{5}}{2}}\right)}{5-5 \sqrt{5}}+\frac{\sqrt{4 \left(x +\frac{\sqrt{5}}{2}-\frac{1}{2}\right)^{2}+4 \left(-\sqrt{5}+1\right) \left(x +\frac{\sqrt{5}}{2}-\frac{1}{2}\right)+2-2 \sqrt{5}}}{10-10 \sqrt{5}}+\frac{\sqrt{4 \left(x -\frac{\sqrt{5}}{2}-\frac{1}{2}\right)^{2}+4 \left(\sqrt{5}+1\right) \left(x -\frac{\sqrt{5}}{2}-\frac{1}{2}\right)+2+2 \sqrt{5}}}{10+10 \sqrt{5}}+\frac{\ln \left(x +\sqrt{\left(x -\frac{\sqrt{5}}{2}-\frac{1}{2}\right)^{2}+\left(\sqrt{5}+1\right) \left(x -\frac{\sqrt{5}}{2}-\frac{1}{2}\right)+\frac{1}{2}+\frac{\sqrt{5}}{2}}\right)}{5+5 \sqrt{5}}-\frac{\left(\left(x -\frac{\sqrt{5}}{2}-\frac{1}{2}\right)^{2}+\left(\sqrt{5}+1\right) \left(x -\frac{\sqrt{5}}{2}-\frac{1}{2}\right)+\frac{1}{2}+\frac{\sqrt{5}}{2}\right)^{\frac{3}{2}}}{5 \left(\frac{1}{2}+\frac{\sqrt{5}}{2}\right) \left(x -\frac{\sqrt{5}}{2}-\frac{1}{2}\right)}-\frac{\sqrt{5}\, \sqrt{4 \left(x +\frac{\sqrt{5}}{2}-\frac{1}{2}\right)^{2}+4 \left(-\sqrt{5}+1\right) \left(x +\frac{\sqrt{5}}{2}-\frac{1}{2}\right)+2-2 \sqrt{5}}}{20 \left(\frac{1}{2}-\frac{\sqrt{5}}{2}\right)}-\frac{\sqrt{5}\, \ln \left(x +\sqrt{\left(x +\frac{\sqrt{5}}{2}-\frac{1}{2}\right)^{2}+\left(-\sqrt{5}+1\right) \left(x +\frac{\sqrt{5}}{2}-\frac{1}{2}\right)+\frac{1}{2}-\frac{\sqrt{5}}{2}}\right)}{10 \left(\frac{1}{2}-\frac{\sqrt{5}}{2}\right)}-\frac{\left(\left(x +\frac{\sqrt{5}}{2}-\frac{1}{2}\right)^{2}+\left(-\sqrt{5}+1\right) \left(x +\frac{\sqrt{5}}{2}-\frac{1}{2}\right)+\frac{1}{2}-\frac{\sqrt{5}}{2}\right)^{\frac{3}{2}}}{5 \left(\frac{1}{2}-\frac{\sqrt{5}}{2}\right) \left(x +\frac{\sqrt{5}}{2}-\frac{1}{2}\right)}-\frac{\ln \left(x +\sqrt{\left(x +\frac{\sqrt{5}}{2}-\frac{1}{2}\right)^{2}+\left(-\sqrt{5}+1\right) \left(x +\frac{\sqrt{5}}{2}-\frac{1}{2}\right)+\frac{1}{2}-\frac{\sqrt{5}}{2}}\right)}{5}-\frac{\ln \left(x +\sqrt{\left(x -\frac{\sqrt{5}}{2}-\frac{1}{2}\right)^{2}+\left(\sqrt{5}+1\right) \left(x -\frac{\sqrt{5}}{2}-\frac{1}{2}\right)+\frac{1}{2}+\frac{\sqrt{5}}{2}}\right)}{5}+\frac{\sqrt{5}\, \sqrt{\left(x +\frac{\sqrt{5}}{2}-\frac{1}{2}\right)^{2}+\left(-\sqrt{5}+1\right) \left(x +\frac{\sqrt{5}}{2}-\frac{1}{2}\right)+\frac{1}{2}-\frac{\sqrt{5}}{2}}}{10 \left(\frac{1}{2}-\frac{\sqrt{5}}{2}\right) \left(x +\frac{\sqrt{5}}{2}-\frac{1}{2}\right)}-\frac{\sqrt{5}\, \sqrt{\left(x -\frac{\sqrt{5}}{2}-\frac{1}{2}\right)^{2}+\left(\sqrt{5}+1\right) \left(x -\frac{\sqrt{5}}{2}-\frac{1}{2}\right)+\frac{1}{2}+\frac{\sqrt{5}}{2}}}{10 \left(\frac{1}{2}+\frac{\sqrt{5}}{2}\right) \left(x -\frac{\sqrt{5}}{2}-\frac{1}{2}\right)}-\frac{4 \arctanh \left(\frac{2 \sqrt{x}}{\sqrt{2+2 \sqrt{5}}}\right)}{5 \sqrt{2+2 \sqrt{5}}}"," ",0,"-8/25/(-2+2*5^(1/2))^(1/2)*5^(1/2)*arctan(2/(-2+2*5^(1/2))^(1/2)*x^(1/2))-8/25/(2+2*5^(1/2))^(1/2)*arctanh(2/(2+2*5^(1/2))^(1/2)*x^(1/2))*5^(1/2)-1/10/(1/2-1/2*5^(1/2))/(x+1/2*5^(1/2)-1/2)*((x+1/2*5^(1/2)-1/2)^2+(-5^(1/2)+1)*(x+1/2*5^(1/2)-1/2)+1/2-1/2*5^(1/2))^(1/2)+4/25*5^(1/2)/(2+2*5^(1/2))^(1/2)*arctanh(2*(1+5^(1/2)+(5^(1/2)+1)*(x-1/2*5^(1/2)-1/2))/(2+2*5^(1/2))^(1/2)/(4*(x-1/2*5^(1/2)-1/2)^2+4*(5^(1/2)+1)*(x-1/2*5^(1/2)-1/2)+2+2*5^(1/2))^(1/2))-1/10/(1/2+1/2*5^(1/2))/(x-1/2*5^(1/2)-1/2)*((x-1/2*5^(1/2)-1/2)^2+(5^(1/2)+1)*(x-1/2*5^(1/2)-1/2)+1/2+1/2*5^(1/2))^(1/2)+4/25*5^(1/2)/(-2+2*5^(1/2))^(1/2)*arctan(2*(1-5^(1/2)+(-5^(1/2)+1)*(x+1/2*5^(1/2)-1/2))/(-2+2*5^(1/2))^(1/2)/(4*(x+1/2*5^(1/2)-1/2)^2+4*(-5^(1/2)+1)*(x+1/2*5^(1/2)-1/2)+2-2*5^(1/2))^(1/2))+4/5/(-2+2*5^(1/2))^(1/2)*arctan(2/(-2+2*5^(1/2))^(1/2)*x^(1/2))+2/5/(x-1/2*5^(1/2)-1/2)*x^(1/2)-4/5/(2+2*5^(1/2))^(1/2)*arctanh(2/(2+2*5^(1/2))^(1/2)*x^(1/2))+1/20/(1/2-1/2*5^(1/2))*(4*(x+1/2*5^(1/2)-1/2)^2+4*(-5^(1/2)+1)*(x+1/2*5^(1/2)-1/2)+2-2*5^(1/2))^(1/2)-2/5/(-2+2*5^(1/2))^(1/2)*arctan(2*(1-5^(1/2)+(-5^(1/2)+1)*(x+1/2*5^(1/2)-1/2))/(-2+2*5^(1/2))^(1/2)/(4*(x+1/2*5^(1/2)-1/2)^2+4*(-5^(1/2)+1)*(x+1/2*5^(1/2)-1/2)+2-2*5^(1/2))^(1/2))+2/5/(2+2*5^(1/2))^(1/2)*arctanh(2*(1+5^(1/2)+(5^(1/2)+1)*(x-1/2*5^(1/2)-1/2))/(2+2*5^(1/2))^(1/2)/(4*(x-1/2*5^(1/2)-1/2)^2+4*(5^(1/2)+1)*(x-1/2*5^(1/2)-1/2)+2+2*5^(1/2))^(1/2))+1/25*5^(1/2)*(4*(x+1/2*5^(1/2)-1/2)^2+4*(-5^(1/2)+1)*(x+1/2*5^(1/2)-1/2)+2-2*5^(1/2))^(1/2)+1/25*ln(x+((x+1/2*5^(1/2)-1/2)^2+(-5^(1/2)+1)*(x+1/2*5^(1/2)-1/2)+1/2-1/2*5^(1/2))^(1/2))*5^(1/2)-1/25*5^(1/2)*(4*(x-1/2*5^(1/2)-1/2)^2+4*(5^(1/2)+1)*(x-1/2*5^(1/2)-1/2)+2+2*5^(1/2))^(1/2)-1/25*ln(x+((x-1/2*5^(1/2)-1/2)^2+(5^(1/2)+1)*(x-1/2*5^(1/2)-1/2)+1/2+1/2*5^(1/2))^(1/2))*5^(1/2)+1/10/(1/2+1/2*5^(1/2))*ln(x+((x-1/2*5^(1/2)-1/2)^2+(5^(1/2)+1)*(x-1/2*5^(1/2)-1/2)+1/2+1/2*5^(1/2))^(1/2))+1/20/(1/2+1/2*5^(1/2))*(4*(x-1/2*5^(1/2)-1/2)^2+4*(5^(1/2)+1)*(x-1/2*5^(1/2)-1/2)+2+2*5^(1/2))^(1/2)+1/10/(1/2-1/2*5^(1/2))*ln(x+((x+1/2*5^(1/2)-1/2)^2+(-5^(1/2)+1)*(x+1/2*5^(1/2)-1/2)+1/2-1/2*5^(1/2))^(1/2))+2/5/(x+1/2*5^(1/2)-1/2)*x^(1/2)+1/5/(1/2-1/2*5^(1/2))*x*((x+1/2*5^(1/2)-1/2)^2+(-5^(1/2)+1)*(x+1/2*5^(1/2)-1/2)+1/2-1/2*5^(1/2))^(1/2)-1/5/(1/2+1/2*5^(1/2))/(x-1/2*5^(1/2)-1/2)*((x-1/2*5^(1/2)-1/2)^2+(5^(1/2)+1)*(x-1/2*5^(1/2)-1/2)+1/2+1/2*5^(1/2))^(3/2)-1/20/(1/2-1/2*5^(1/2))*5^(1/2)*(4*(x+1/2*5^(1/2)-1/2)^2+4*(-5^(1/2)+1)*(x+1/2*5^(1/2)-1/2)+2-2*5^(1/2))^(1/2)-1/10/(1/2-1/2*5^(1/2))*ln(x+((x+1/2*5^(1/2)-1/2)^2+(-5^(1/2)+1)*(x+1/2*5^(1/2)-1/2)+1/2-1/2*5^(1/2))^(1/2))*5^(1/2)+1/20/(1/2+1/2*5^(1/2))*5^(1/2)*(4*(x-1/2*5^(1/2)-1/2)^2+4*(5^(1/2)+1)*(x-1/2*5^(1/2)-1/2)+2+2*5^(1/2))^(1/2)+1/10/(1/2+1/2*5^(1/2))*ln(x+((x-1/2*5^(1/2)-1/2)^2+(5^(1/2)+1)*(x-1/2*5^(1/2)-1/2)+1/2+1/2*5^(1/2))^(1/2))*5^(1/2)+1/5/(1/2+1/2*5^(1/2))*x*((x-1/2*5^(1/2)-1/2)^2+(5^(1/2)+1)*(x-1/2*5^(1/2)-1/2)+1/2+1/2*5^(1/2))^(1/2)-1/5/(1/2-1/2*5^(1/2))/(x+1/2*5^(1/2)-1/2)*((x+1/2*5^(1/2)-1/2)^2+(-5^(1/2)+1)*(x+1/2*5^(1/2)-1/2)+1/2-1/2*5^(1/2))^(3/2)-1/5*ln(x+((x+1/2*5^(1/2)-1/2)^2+(-5^(1/2)+1)*(x+1/2*5^(1/2)-1/2)+1/2-1/2*5^(1/2))^(1/2))-1/5*ln(x+((x-1/2*5^(1/2)-1/2)^2+(5^(1/2)+1)*(x-1/2*5^(1/2)-1/2)+1/2+1/2*5^(1/2))^(1/2))+1/10*5^(1/2)/(1/2-1/2*5^(1/2))/(x+1/2*5^(1/2)-1/2)*((x+1/2*5^(1/2)-1/2)^2+(-5^(1/2)+1)*(x+1/2*5^(1/2)-1/2)+1/2-1/2*5^(1/2))^(1/2)-1/10*5^(1/2)/(1/2+1/2*5^(1/2))/(x-1/2*5^(1/2)-1/2)*((x-1/2*5^(1/2)-1/2)^2+(5^(1/2)+1)*(x-1/2*5^(1/2)-1/2)+1/2+1/2*5^(1/2))^(1/2)","B"
11,1,278,101,0.032000," ","int(1/2/(x+1)^2*2^(1/2)/(-I+x^2)^(1/2)+1/2/(x+1)^2*2^(1/2)/(I+x^2)^(1/2),x)","-\frac{\sqrt{2}\, \ln \left(\frac{-2 x -2 i+2 \sqrt{1-i}\, \sqrt{-2 x +\left(x +1\right)^{2}-1-i}}{x +1}\right)}{4 \sqrt{1-i}}-\frac{i \sqrt{2}\, \ln \left(\frac{-2 x -2 i+2 \sqrt{1-i}\, \sqrt{-2 x +\left(x +1\right)^{2}-1-i}}{x +1}\right)}{4 \sqrt{1-i}}-\frac{\sqrt{2}\, \ln \left(\frac{-2 x +2 i+2 \sqrt{1+i}\, \sqrt{-2 x +\left(x +1\right)^{2}-1+i}}{x +1}\right)}{4 \sqrt{1+i}}+\frac{i \sqrt{2}\, \ln \left(\frac{-2 x +2 i+2 \sqrt{1+i}\, \sqrt{-2 x +\left(x +1\right)^{2}-1+i}}{x +1}\right)}{4 \sqrt{1+i}}-\frac{\sqrt{2}\, \sqrt{-2 x +\left(x +1\right)^{2}-1-i}}{4 \left(x +1\right)}-\frac{i \sqrt{2}\, \sqrt{-2 x +\left(x +1\right)^{2}-1-i}}{4 \left(x +1\right)}-\frac{\sqrt{2}\, \sqrt{-2 x +\left(x +1\right)^{2}-1+i}}{4 \left(x +1\right)}+\frac{i \sqrt{2}\, \sqrt{-2 x +\left(x +1\right)^{2}-1+i}}{4 x +4}"," ",0,"-1/4*2^(1/2)/(x+1)*((x+1)^2-2*x-1-I)^(1/2)-1/4*I*2^(1/2)/(x+1)*((x+1)^2-2*x-1-I)^(1/2)-1/4*2^(1/2)/(1-I)^(1/2)*ln((-2*I-2*x+2*(1-I)^(1/2)*((x+1)^2-2*x-1-I)^(1/2))/(x+1))-1/4*I*2^(1/2)/(1-I)^(1/2)*ln((-2*I-2*x+2*(1-I)^(1/2)*((x+1)^2-2*x-1-I)^(1/2))/(x+1))-1/4*2^(1/2)/(x+1)*((x+1)^2-2*x-1+I)^(1/2)+1/4*I*2^(1/2)/(x+1)*((x+1)^2-2*x-1+I)^(1/2)-1/4*2^(1/2)/(1+I)^(1/2)*ln((2*I-2*x+2*(1+I)^(1/2)*((x+1)^2-2*x-1+I)^(1/2))/(x+1))+1/4*I*2^(1/2)/(1+I)^(1/2)*ln((2*I-2*x+2*(1+I)^(1/2)*((x+1)^2-2*x-1+I)^(1/2))/(x+1))","B"
12,0,0,95,0.098000," ","int((x^2+(x^4+1)^(1/2))^(1/2)/(x+1)^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,"int((x^2+(x^4+1)^(1/2))^(1/2)/(x+1)^2/(x^4+1)^(1/2),x)","F"
13,0,0,61,0.088000," ","int((x^2+(x^4+1)^(1/2))^(1/2)/(x+1)/(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,"int((x^2+(x^4+1)^(1/2))^(1/2)/(x+1)/(x^4+1)^(1/2),x)","F"
14,0,0,24,0.080000," ","int((x^2+(x^4+1)^(1/2))^(1/2)/(x^4+1)^(1/2),x)","\int \frac{\sqrt{x^{2}+\sqrt{x^{4}+1}}}{\sqrt{x^{4}+1}}\, dx"," ",0,"int((x^2+(x^4+1)^(1/2))^(1/2)/(x^4+1)^(1/2),x)","F"
15,1,22,26,0.100000," ","int((-x^2+(x^4+1)^(1/2))^(1/2)/(x^4+1)^(1/2),x)","-\frac{\sqrt{2}\, \hypergeom \left(\left[\frac{1}{2}, \frac{3}{4}, \frac{5}{4}\right], \left[\frac{3}{2}, \frac{3}{2}\right], -\frac{1}{x^{4}}\right)}{4 x^{2}}"," ",0,"-1/4*2^(1/2)/x^2*hypergeom([1/2,3/4,5/4],[3/2,3/2],-1/x^4)","C"
16,1,16,15,0.003000," ","int(((x-1)^(3/2)+(x+1)^(3/2))/(x-1)^(3/2)/(x+1)^(3/2),x)","-\frac{2}{\sqrt{x -1}}-\frac{2}{\sqrt{x +1}}"," ",0,"-2/(x-1)^(1/2)-2/(x+1)^(1/2)","A"
17,1,120,44,0.033000," ","int((x+(x^2+a)^(1/2))^b,x)","\frac{\left(\frac{8 \sqrt{\pi}\, \left(b +\frac{a b}{x^{2}}-1\right) a^{-\frac{b}{2}-\frac{1}{2}} x^{b +1} \left(\sqrt{\frac{a}{x^{2}}+1}+1\right)^{b -1}}{\left(b +1\right) \left(2 b -2\right) b}+\frac{4 \sqrt{\pi}\, \sqrt{\frac{a}{x^{2}}+1}\, a^{-\frac{b}{2}-\frac{1}{2}} x^{b +1} \left(\sqrt{\frac{a}{x^{2}}+1}+1\right)^{b -1}}{\left(b +1\right) b}\right) b \,a^{\frac{b}{2}+\frac{1}{2}}}{4 \sqrt{\pi}}"," ",0,"1/4*a^(1/2*b+1/2)/Pi^(1/2)*b*(8*Pi^(1/2)/(1+b)/b*x^(1+b)*a^(-1/2*b-1/2)*(1/x^2*a*b+b-1)/(-2+2*b)*((1+1/x^2*a)^(1/2)+1)^(-1+b)+4*Pi^(1/2)/(1+b)/b*x^(1+b)*a^(-1/2*b-1/2)*(1+1/x^2*a)^(1/2)*((1+1/x^2*a)^(1/2)+1)^(-1+b))","B"
18,0,0,48,0.090000," ","int((x-(x^2+a)^(1/2))^b,x)","\int \left(x -\sqrt{x^{2}+a}\right)^{b}\, dx"," ",0,"int((x-(x^2+a)^(1/2))^b,x)","F"
19,0,0,15,0.082000," ","int((x+(x^2+a)^(1/2))^b/(x^2+a)^(1/2),x)","\int \frac{\left(x +\sqrt{x^{2}+a}\right)^{b}}{\sqrt{x^{2}+a}}\, dx"," ",0,"int((x+(x^2+a)^(1/2))^b/(x^2+a)^(1/2),x)","F"
20,0,0,18,0.092000," ","int((x-(x^2+a)^(1/2))^b/(x^2+a)^(1/2),x)","\int \frac{\left(x -\sqrt{x^{2}+a}\right)^{b}}{\sqrt{x^{2}+a}}\, dx"," ",0,"int((x-(x^2+a)^(1/2))^b/(x^2+a)^(1/2),x)","F"
21,1,48,40,0.013000," ","int(1/(a+b*exp(p*x))^2,x)","\frac{1}{\left(b \,{\mathrm e}^{p x}+a \right) a p}-\frac{\ln \left(b \,{\mathrm e}^{p x}+a \right)}{a^{2} p}+\frac{\ln \left({\mathrm e}^{p x}\right)}{a^{2} p}"," ",0,"-ln(a+b*exp(p*x))/a^2/p+1/a/(a+b*exp(p*x))/p+1/p/a^2*ln(exp(p*x))","A"
22,1,21,19,0.003000," ","int(1/(b/exp(p*x)+a*exp(p*x))^2,x)","-\frac{1}{2 \left(a \,{\mathrm e}^{2 p x}+b \right) a p}"," ",0,"-1/2/p/a/(a*exp(p*x)^2+b)","A"
23,1,51,54,0.014000," ","int(x/(b/exp(p*x)+a*exp(p*x))^2,x)","\frac{x \,{\mathrm e}^{2 p x}}{2 \left(a \,{\mathrm e}^{2 p x}+b \right) b p}-\frac{\ln \left(a \,{\mathrm e}^{2 p x}+b \right)}{4 a b \,p^{2}}"," ",0,"-1/4/p^2/b/a*ln(a*exp(p*x)^2+b)+1/2/p*x*exp(p*x)^2/b/(a*exp(p*x)^2+b)","A"
24,1,455,71,0.043000," ","int((3*x^2-x+1)/(x^2+x+1)^2/(x^2-x+1)^(1/2),x)","-\frac{-\frac{6 \sqrt{\frac{\left(x +1\right)^{2}}{\left(-x +1\right)^{2}}+3}\, \sqrt{6}\, \left(x +1\right)^{2} \arctanh \left(\frac{\sqrt{\frac{\left(x +1\right)^{2}}{\left(-x +1\right)^{2}}+3}\, \sqrt{6}}{4}\right)}{\left(-x +1\right)^{2}}-2 \sqrt{6}\, \sqrt{\frac{\left(x +1\right)^{2}}{\left(-x +1\right)^{2}}+3}\, \arctanh \left(\frac{\sqrt{\frac{\left(x +1\right)^{2}}{\left(-x +1\right)^{2}}+3}\, \sqrt{6}}{4}\right)+\frac{9 \sqrt{2}\, \sqrt{\frac{\left(x +1\right)^{2}}{\left(-x +1\right)^{2}}+3}\, \left(x +1\right)^{2} \arctan \left(\frac{2 \sqrt{2}\, \left(x +1\right)}{\sqrt{\frac{\left(x +1\right)^{2}}{\left(-x +1\right)^{2}}+3}\, \left(-x +1\right)}\right)}{\left(-x +1\right)^{2}}+3 \sqrt{2}\, \sqrt{\frac{\left(x +1\right)^{2}}{\left(-x +1\right)^{2}}+3}\, \arctan \left(\frac{2 \sqrt{2}\, \left(x +1\right)}{\sqrt{\frac{\left(x +1\right)^{2}}{\left(-x +1\right)^{2}}+3}\, \left(-x +1\right)}\right)-\frac{12 \left(x +1\right)^{3}}{\left(-x +1\right)^{3}}-\frac{36 \left(x +1\right)}{-x +1}}{6 \sqrt{\frac{\frac{\left(x +1\right)^{2}}{\left(-x +1\right)^{2}}+3}{\left(\frac{x +1}{-x +1}+1\right)^{2}}}\, \left(\frac{x +1}{-x +1}+1\right) \left(\frac{3 \left(x +1\right)^{2}}{\left(-x +1\right)^{2}}+1\right)}+\frac{\sqrt{\frac{\left(x +1\right)^{2}}{\left(-x +1\right)^{2}}+3}\, \left(-\sqrt{6}\, \arctanh \left(\frac{\sqrt{\frac{\left(x +1\right)^{2}}{\left(-x +1\right)^{2}}+3}\, \sqrt{6}}{4}\right)+3 \sqrt{2}\, \arctan \left(\frac{2 \sqrt{2}\, \left(x +1\right)}{\sqrt{\frac{\left(x +1\right)^{2}}{\left(-x +1\right)^{2}}+3}\, \left(-x +1\right)}\right)\right)}{2 \left(\frac{x +1}{-x +1}+1\right) \sqrt{\frac{\frac{\left(x +1\right)^{2}}{\left(-x +1\right)^{2}}+3}{\left(\frac{x +1}{-x +1}+1\right)^{2}}}}"," ",0,"-1/6*(9*2^(1/2)*((x+1)^2/(-x+1)^2+3)^(1/2)*arctan(2*2^(1/2)/((x+1)^2/(-x+1)^2+3)^(1/2)*(x+1)/(-x+1))*(x+1)^2/(-x+1)^2-6*((x+1)^2/(-x+1)^2+3)^(1/2)*arctanh(1/4*((x+1)^2/(-x+1)^2+3)^(1/2)*6^(1/2))*6^(1/2)*(x+1)^2/(-x+1)^2+3*2^(1/2)*arctan(2*2^(1/2)/((x+1)^2/(-x+1)^2+3)^(1/2)*(x+1)/(-x+1))*((x+1)^2/(-x+1)^2+3)^(1/2)-2*6^(1/2)*arctanh(1/4*((x+1)^2/(-x+1)^2+3)^(1/2)*6^(1/2))*((x+1)^2/(-x+1)^2+3)^(1/2)-12*(x+1)^3/(-x+1)^3-36*(x+1)/(-x+1))/(((x+1)^2/(-x+1)^2+3)/((x+1)/(-x+1)+1)^2)^(1/2)/((x+1)/(-x+1)+1)/(3*(x+1)^2/(-x+1)^2+1)+1/2*((x+1)^2/(-x+1)^2+3)^(1/2)*(3*2^(1/2)*arctan(2*2^(1/2)/((x+1)^2/(-x+1)^2+3)^(1/2)*(x+1)/(-x+1))-6^(1/2)*arctanh(1/4*((x+1)^2/(-x+1)^2+3)^(1/2)*6^(1/2)))/((x+1)/(-x+1)+1)/(((x+1)^2/(-x+1)^2+3)/((x+1)/(-x+1)+1)^2)^(1/2)","B"
25,0,0,15,0.104000," ","int((x+(a^2+x^2)^(1/2))^(1/2)/(a^2+x^2)^(1/2),x)","\int \frac{\sqrt{x +\sqrt{a^{2}+x^{2}}}}{\sqrt{a^{2}+x^{2}}}\, dx"," ",0,"int((x+(a^2+x^2)^(1/2))^(1/2)/(a^2+x^2)^(1/2),x)","F"
26,-2,0,22,180.000000," ","int((b*x+(b^2*x^2+a)^(1/2))^(1/2)/(b^2*x^2+a)^(1/2),x)","\int \frac{\sqrt{b x +\sqrt{b^{2} x^{2}+a}}}{\sqrt{b^{2} x^{2}+a}}\, dx"," ",0,"int((b*x+(b^2*x^2+a)^(1/2))^(1/2)/(b^2*x^2+a)^(1/2),x)","F"
27,0,0,47,0.085000," ","int(1/x/(a^2+x^2)^(1/2)/(x+(a^2+x^2)^(1/2))^(1/2),x)","\int \frac{1}{\sqrt{a^{2}+x^{2}}\, \sqrt{x +\sqrt{a^{2}+x^{2}}}\, x}\, dx"," ",0,"int(1/x/(a^2+x^2)^(1/2)/(x+(a^2+x^2)^(1/2))^(1/2),x)","F"
28,1,25,62,0.013000," ","int((x+(a^2+x^2)^(1/2))^(1/2)/x,x)","2 \sqrt{2}\, \sqrt{x}\, \hypergeom \left(\left[-\frac{1}{4}, -\frac{1}{4}, \frac{1}{4}\right], \left[\frac{1}{2}, \frac{3}{4}\right], -\frac{a^{2}}{x^{2}}\right)"," ",0,"2*2^(1/2)*x^(1/2)*hypergeom([-1/4,-1/4,1/4],[1/2,3/4],-a^2/x^2)","C"
29,0,0,512,0.092000," ","int(x^3*ln(x+2)^3*ln(x+3),x)","\int x^{3} \ln \left(x +2\right)^{3} \ln \left(x +3\right)\, dx"," ",0,"int(x^3*ln(x+2)^3*ln(x+3),x)","F"
30,0,0,15,0.091000," ","int((x+(x^2+b)^(1/2))^a/(x^2+b)^(1/2),x)","\int \frac{\left(x +\sqrt{x^{2}+b}\right)^{a}}{\sqrt{x^{2}+b}}\, dx"," ",0,"int((x+(x^2+b)^(1/2))^a/(x^2+b)^(1/2),x)","F"
31,1,120,44,0.027000," ","int((x+(x^2+b)^(1/2))^a,x)","\frac{\left(\frac{8 \sqrt{\pi}\, \left(a +\frac{a b}{x^{2}}-1\right) b^{-\frac{a}{2}-\frac{1}{2}} x^{a +1} \left(\sqrt{\frac{b}{x^{2}}+1}+1\right)^{a -1}}{\left(a +1\right) \left(2 a -2\right) a}+\frac{4 \sqrt{\pi}\, \sqrt{\frac{b}{x^{2}}+1}\, b^{-\frac{a}{2}-\frac{1}{2}} x^{a +1} \left(\sqrt{\frac{b}{x^{2}}+1}+1\right)^{a -1}}{\left(a +1\right) a}\right) a \,b^{\frac{a}{2}+\frac{1}{2}}}{4 \sqrt{\pi}}"," ",0,"1/4*b^(1/2*a+1/2)/Pi^(1/2)*a*(8*Pi^(1/2)/(a+1)/a*x^(a+1)*b^(-1/2*a-1/2)*(a*b/x^2+a-1)/(2*a-2)*((1+1/x^2*b)^(1/2)+1)^(a-1)+4*Pi^(1/2)/(a+1)/a*x^(a+1)*b^(-1/2*a-1/2)*(1+1/x^2*b)^(1/2)*((1+1/x^2*b)^(1/2)+1)^(a-1))","B"
32,1,44,32,0.048000," ","int((6+3*x^a+2*x^(2*a))^(1/a)*(x^a+x^(2*a)+x^(3*a)),x)","\frac{\left(3 x^{a}+2 x^{2 a}+6\right) x \,x^{a} \left(3 x^{a}+2 x^{2 a}+6\right)^{\frac{1}{a}}}{6 a +6}"," ",0,"1/6*x*x^a*(6+3*x^a+2*(x^a)^2)/(a+1)*(6+3*x^a+2*(x^a)^2)^(1/a)","A"
33,1,65,45,0.105000," ","int(1/x/(-x^2+1)^(1/3),x)","\frac{\sqrt{3}\, \Gamma \left(\frac{2}{3}\right) \left(\frac{2 \pi  \sqrt{3}\, x^{2} \hypergeom \left(\left[1, 1, \frac{4}{3}\right], \left[2, 2\right], x^{2}\right)}{9 \Gamma \left(\frac{2}{3}\right)}+\frac{2 \left(2 \ln \left(x \right)-\frac{\pi  \sqrt{3}}{6}-\frac{3 \ln \left(3\right)}{2}+i \pi \right) \pi  \sqrt{3}}{3 \Gamma \left(\frac{2}{3}\right)}\right)}{4 \pi}"," ",0,"1/4/Pi*3^(1/2)*GAMMA(2/3)*(2/9*Pi*3^(1/2)/GAMMA(2/3)*x^2*hypergeom([1,1,4/3],[2,2],x^2)+2/3*(-1/6*Pi*3^(1/2)-3/2*ln(3)+2*ln(x)+I*Pi)*Pi*3^(1/2)/GAMMA(2/3))","C"
34,1,48,45,0.100000," ","int(1/x/(-x^2+1)^(2/3),x)","\frac{\frac{2 \Gamma \left(\frac{2}{3}\right) x^{2} \hypergeom \left(\left[1, 1, \frac{5}{3}\right], \left[2, 2\right], x^{2}\right)}{3}+\left(2 \ln \left(x \right)+\frac{\pi  \sqrt{3}}{6}-\frac{3 \ln \left(3\right)}{2}+i \pi \right) \Gamma \left(\frac{2}{3}\right)}{2 \Gamma \left(\frac{2}{3}\right)}"," ",0,"1/2/GAMMA(2/3)*(2/3*GAMMA(2/3)*x^2*hypergeom([1,1,5/3],[2,2],x^2)+(1/6*Pi*3^(1/2)-3/2*ln(3)+2*ln(x)+I*Pi)*GAMMA(2/3))","C"
35,1,12,40,0.092000," ","int(1/(-x^3+1)^(1/3),x)","x \hypergeom \left(\left[\frac{1}{3}, \frac{1}{3}\right], \left[\frac{4}{3}\right], x^{3}\right)"," ",0,"x*hypergeom([1/3,1/3],[4/3],x^3)","C"
36,1,65,45,0.103000," ","int(1/x/(-x^3+1)^(1/3),x)","\frac{\sqrt{3}\, \Gamma \left(\frac{2}{3}\right) \left(\frac{2 \pi  \sqrt{3}\, x^{3} \hypergeom \left(\left[1, 1, \frac{4}{3}\right], \left[2, 2\right], x^{3}\right)}{9 \Gamma \left(\frac{2}{3}\right)}+\frac{2 \left(3 \ln \left(x \right)-\frac{\pi  \sqrt{3}}{6}-\frac{3 \ln \left(3\right)}{2}+i \pi \right) \pi  \sqrt{3}}{3 \Gamma \left(\frac{2}{3}\right)}\right)}{6 \pi}"," ",0,"1/6/Pi*3^(1/2)*GAMMA(2/3)*(2/9*Pi*3^(1/2)/GAMMA(2/3)*x^3*hypergeom([1,1,4/3],[2,2],x^3)+2/3*(-1/6*Pi*3^(1/2)-3/2*ln(3)+3*ln(x)+I*Pi)*Pi*3^(1/2)/GAMMA(2/3))","C"
37,1,1143,74,8.055000," ","int(1/(x+1)/(-x^3+1)^(1/3),x)","\text{Expression too large to display}"," ",0,"1/4*RootOf(_Z^3-4)*ln(-(8*(-x^3+1)^(2/3)*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)*RootOf(_Z^3-4)^2+8*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)^2*RootOf(_Z^3-4)^2*x-6*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)*RootOf(_Z^3-4)^3*x+26*(-x^3+1)^(1/3)*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)*RootOf(_Z^3-4)*x+9*(-x^3+1)^(1/3)*RootOf(_Z^3-4)^2*x-26*(-x^3+1)^(1/3)*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)*RootOf(_Z^3-4)-9*(-x^3+1)^(1/3)*RootOf(_Z^3-4)^2+28*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)*x^2-21*RootOf(_Z^3-4)*x^2+52*(-x^3+1)^(2/3)+24*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)*x-18*RootOf(_Z^3-4)*x+28*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)-21*RootOf(_Z^3-4))/(x+1)^2)-1/4*ln((8*(-x^3+1)^(2/3)*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)*RootOf(_Z^3-4)^2+20*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)^2*RootOf(_Z^3-4)^2*x+6*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)*RootOf(_Z^3-4)^3*x-18*(-x^3+1)^(1/3)*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)*RootOf(_Z^3-4)*x-13*(-x^3+1)^(1/3)*RootOf(_Z^3-4)^2*x+18*(-x^3+1)^(1/3)*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)*RootOf(_Z^3-4)+13*(-x^3+1)^(1/3)*RootOf(_Z^3-4)^2-70*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)*x^2-21*RootOf(_Z^3-4)*x^2-36*(-x^3+1)^(2/3)-20*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)*x-6*RootOf(_Z^3-4)*x-70*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)-21*RootOf(_Z^3-4))/(x+1)^2)*RootOf(_Z^3-4)-1/2*ln((8*(-x^3+1)^(2/3)*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)*RootOf(_Z^3-4)^2+20*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)^2*RootOf(_Z^3-4)^2*x+6*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)*RootOf(_Z^3-4)^3*x-18*(-x^3+1)^(1/3)*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)*RootOf(_Z^3-4)*x-13*(-x^3+1)^(1/3)*RootOf(_Z^3-4)^2*x+18*(-x^3+1)^(1/3)*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)*RootOf(_Z^3-4)+13*(-x^3+1)^(1/3)*RootOf(_Z^3-4)^2-70*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)*x^2-21*RootOf(_Z^3-4)*x^2-36*(-x^3+1)^(2/3)-20*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)*x-6*RootOf(_Z^3-4)*x-70*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)-21*RootOf(_Z^3-4))/(x+1)^2)*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)","C"
38,0,0,113,0.616000," ","int(x/(x+1)/(-x^3+1)^(1/3),x)","\int \frac{x}{\left(x +1\right) \left(-x^{3}+1\right)^{\frac{1}{3}}}\, dx"," ",0,"int(x/(x+1)/(-x^3+1)^(1/3),x)","F"
39,1,1069,83,8.325000," ","int(1/x/(x^2-3*x+2)^(1/3),x)","\frac{\RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right) \ln \left(\frac{68 x^{2} \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right)^{2} \RootOf \left(\textit{\_Z}^{3}-4\right)^{2}+28 x^{2} \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right) \RootOf \left(\textit{\_Z}^{3}-4\right)^{3}-306 x \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right)^{2} \RootOf \left(\textit{\_Z}^{3}-4\right)^{2}-126 x \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right) \RootOf \left(\textit{\_Z}^{3}-4\right)^{3}+306 \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right)^{2} \RootOf \left(\textit{\_Z}^{3}-4\right)^{2}+126 \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right) \RootOf \left(\textit{\_Z}^{3}-4\right)^{3}+17 x^{2} \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right)+7 x^{2} \RootOf \left(\textit{\_Z}^{3}-4\right)-237 \left(x^{2}-3 x +2\right)^{\frac{1}{3}} x \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right) \RootOf \left(\textit{\_Z}^{3}-4\right)-54 \left(x^{2}-3 x +2\right)^{\frac{1}{3}} x \RootOf \left(\textit{\_Z}^{3}-4\right)^{2}-108 \left(x^{2}-3 x +2\right)^{\frac{2}{3}} \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right) \RootOf \left(\textit{\_Z}^{3}-4\right)^{2}+408 x \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right)+168 x \RootOf \left(\textit{\_Z}^{3}-4\right)+474 \left(x^{2}-3 x +2\right)^{\frac{1}{3}} \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right) \RootOf \left(\textit{\_Z}^{3}-4\right)+108 \left(x^{2}-3 x +2\right)^{\frac{1}{3}} \RootOf \left(\textit{\_Z}^{3}-4\right)^{2}-408 \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right)-168 \RootOf \left(\textit{\_Z}^{3}-4\right)+258 \left(x^{2}-3 x +2\right)^{\frac{2}{3}}}{x^{2}}\right)}{2}+\frac{\RootOf \left(\textit{\_Z}^{3}-4\right) \ln \left(-\frac{112 x^{2} \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right)^{2} \RootOf \left(\textit{\_Z}^{3}-4\right)^{2}+68 x^{2} \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right) \RootOf \left(\textit{\_Z}^{3}-4\right)^{3}-504 x \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right)^{2} \RootOf \left(\textit{\_Z}^{3}-4\right)^{2}-306 x \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right) \RootOf \left(\textit{\_Z}^{3}-4\right)^{3}+504 \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right)^{2} \RootOf \left(\textit{\_Z}^{3}-4\right)^{2}+306 \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right) \RootOf \left(\textit{\_Z}^{3}-4\right)^{3}+196 x^{2} \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right)+119 x^{2} \RootOf \left(\textit{\_Z}^{3}-4\right)+258 \left(x^{2}-3 x +2\right)^{\frac{1}{3}} x \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right) \RootOf \left(\textit{\_Z}^{3}-4\right)-108 \left(x^{2}-3 x +2\right)^{\frac{1}{3}} x \RootOf \left(\textit{\_Z}^{3}-4\right)^{2}-216 \left(x^{2}-3 x +2\right)^{\frac{2}{3}} \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right) \RootOf \left(\textit{\_Z}^{3}-4\right)^{2}-1680 x \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right)-1020 x \RootOf \left(\textit{\_Z}^{3}-4\right)-516 \left(x^{2}-3 x +2\right)^{\frac{1}{3}} \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right) \RootOf \left(\textit{\_Z}^{3}-4\right)+216 \left(x^{2}-3 x +2\right)^{\frac{1}{3}} \RootOf \left(\textit{\_Z}^{3}-4\right)^{2}+1680 \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right)+1020 \RootOf \left(\textit{\_Z}^{3}-4\right)-948 \left(x^{2}-3 x +2\right)^{\frac{2}{3}}}{x^{2}}\right)}{4}"," ",0,"1/4*RootOf(_Z^3-4)*ln(-(68*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)*RootOf(_Z^3-4)^3*x^2+112*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)^2*RootOf(_Z^3-4)^2*x^2-306*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)*RootOf(_Z^3-4)^3*x-504*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)^2*RootOf(_Z^3-4)^2*x-216*(x^2-3*x+2)^(2/3)*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)*RootOf(_Z^3-4)^2+306*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)*RootOf(_Z^3-4)^3+504*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)^2*RootOf(_Z^3-4)^2-108*(x^2-3*x+2)^(1/3)*RootOf(_Z^3-4)^2*x+258*(x^2-3*x+2)^(1/3)*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)*RootOf(_Z^3-4)*x+216*(x^2-3*x+2)^(1/3)*RootOf(_Z^3-4)^2-516*(x^2-3*x+2)^(1/3)*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)*RootOf(_Z^3-4)+119*RootOf(_Z^3-4)*x^2+196*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)*x^2-1020*RootOf(_Z^3-4)*x-1680*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)*x-948*(x^2-3*x+2)^(2/3)+1020*RootOf(_Z^3-4)+1680*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2))/x^2)+1/2*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)*ln((28*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)*RootOf(_Z^3-4)^3*x^2+68*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)^2*RootOf(_Z^3-4)^2*x^2-126*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)*RootOf(_Z^3-4)^3*x-306*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)^2*RootOf(_Z^3-4)^2*x-108*(x^2-3*x+2)^(2/3)*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)*RootOf(_Z^3-4)^2+126*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)*RootOf(_Z^3-4)^3+306*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)^2*RootOf(_Z^3-4)^2-54*(x^2-3*x+2)^(1/3)*RootOf(_Z^3-4)^2*x-237*(x^2-3*x+2)^(1/3)*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)*RootOf(_Z^3-4)*x+108*(x^2-3*x+2)^(1/3)*RootOf(_Z^3-4)^2+474*(x^2-3*x+2)^(1/3)*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)*RootOf(_Z^3-4)+7*RootOf(_Z^3-4)*x^2+17*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)*x^2+168*RootOf(_Z^3-4)*x+408*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)*x+258*(x^2-3*x+2)^(2/3)-168*RootOf(_Z^3-4)-408*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2))/x^2)","C"
40,1,653,67,1.348000," ","int(1/(x^3-3*x^2+7*x-5)^(1/3),x)","-\frac{\RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right) \ln \left(-304 x^{2} \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)^{2}-320 x^{2} \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)+608 x \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)^{2}+371 x^{2}-624 \left(x^{3}-3 x^{2}+7 x -5\right)^{\frac{1}{3}} x \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)+640 x \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)+675 \left(x^{3}-3 x^{2}+7 x -5\right)^{\frac{1}{3}} x -742 x -624 \left(x^{3}-3 x^{2}+7 x -5\right)^{\frac{2}{3}} \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)+624 \left(x^{3}-3 x^{2}+7 x -5\right)^{\frac{1}{3}} \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)-2356 \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)+675 \left(x^{3}-3 x^{2}+7 x -5\right)^{\frac{2}{3}}-675 \left(x^{3}-3 x^{2}+7 x -5\right)^{\frac{1}{3}}+1643\right)}{2}+\frac{\RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right) \ln \left(-304 x^{2} \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)^{2}+928 x^{2} \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)+608 x \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)^{2}-253 x^{2}+624 \left(x^{3}-3 x^{2}+7 x -5\right)^{\frac{1}{3}} x \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)-1856 x \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)+51 \left(x^{3}-3 x^{2}+7 x -5\right)^{\frac{1}{3}} x +506 x +624 \left(x^{3}-3 x^{2}+7 x -5\right)^{\frac{2}{3}} \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)-624 \left(x^{3}-3 x^{2}+7 x -5\right)^{\frac{1}{3}} \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)+2356 \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)+51 \left(x^{3}-3 x^{2}+7 x -5\right)^{\frac{2}{3}}-51 \left(x^{3}-3 x^{2}+7 x -5\right)^{\frac{1}{3}}-713\right)}{2}+\frac{\ln \left(-304 x^{2} \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)^{2}-320 x^{2} \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)+608 x \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)^{2}+371 x^{2}-624 \left(x^{3}-3 x^{2}+7 x -5\right)^{\frac{1}{3}} x \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)+640 x \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)+675 \left(x^{3}-3 x^{2}+7 x -5\right)^{\frac{1}{3}} x -742 x -624 \left(x^{3}-3 x^{2}+7 x -5\right)^{\frac{2}{3}} \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)+624 \left(x^{3}-3 x^{2}+7 x -5\right)^{\frac{1}{3}} \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)-2356 \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)+675 \left(x^{3}-3 x^{2}+7 x -5\right)^{\frac{2}{3}}-675 \left(x^{3}-3 x^{2}+7 x -5\right)^{\frac{1}{3}}+1643\right)}{2}"," ",0,"1/2*RootOf(_Z^2-_Z+1)*ln(-304*RootOf(_Z^2-_Z+1)^2*x^2+624*RootOf(_Z^2-_Z+1)*(x^3-3*x^2+7*x-5)^(2/3)+624*RootOf(_Z^2-_Z+1)*(x^3-3*x^2+7*x-5)^(1/3)*x+608*RootOf(_Z^2-_Z+1)^2*x+928*RootOf(_Z^2-_Z+1)*x^2+51*(x^3-3*x^2+7*x-5)^(2/3)-624*RootOf(_Z^2-_Z+1)*(x^3-3*x^2+7*x-5)^(1/3)+51*(x^3-3*x^2+7*x-5)^(1/3)*x-1856*RootOf(_Z^2-_Z+1)*x-253*x^2-51*(x^3-3*x^2+7*x-5)^(1/3)+2356*RootOf(_Z^2-_Z+1)+506*x-713)-1/2*ln(-304*RootOf(_Z^2-_Z+1)^2*x^2-624*RootOf(_Z^2-_Z+1)*(x^3-3*x^2+7*x-5)^(2/3)-624*RootOf(_Z^2-_Z+1)*(x^3-3*x^2+7*x-5)^(1/3)*x+608*RootOf(_Z^2-_Z+1)^2*x-320*RootOf(_Z^2-_Z+1)*x^2+675*(x^3-3*x^2+7*x-5)^(2/3)+624*RootOf(_Z^2-_Z+1)*(x^3-3*x^2+7*x-5)^(1/3)+675*(x^3-3*x^2+7*x-5)^(1/3)*x+640*RootOf(_Z^2-_Z+1)*x+371*x^2-675*(x^3-3*x^2+7*x-5)^(1/3)-2356*RootOf(_Z^2-_Z+1)-742*x+1643)*RootOf(_Z^2-_Z+1)+1/2*ln(-304*RootOf(_Z^2-_Z+1)^2*x^2-624*RootOf(_Z^2-_Z+1)*(x^3-3*x^2+7*x-5)^(2/3)-624*RootOf(_Z^2-_Z+1)*(x^3-3*x^2+7*x-5)^(1/3)*x+608*RootOf(_Z^2-_Z+1)^2*x-320*RootOf(_Z^2-_Z+1)*x^2+675*(x^3-3*x^2+7*x-5)^(2/3)+624*RootOf(_Z^2-_Z+1)*(x^3-3*x^2+7*x-5)^(1/3)+675*(x^3-3*x^2+7*x-5)^(1/3)*x+640*RootOf(_Z^2-_Z+1)*x+371*x^2-675*(x^3-3*x^2+7*x-5)^(1/3)-2356*RootOf(_Z^2-_Z+1)-742*x+1643)","C"
41,0,0,52,0.141000," ","int(1/(x*(x^2-q))^(1/3),x)","\int \frac{1}{\left(\left(x^{2}-q \right) x \right)^{\frac{1}{3}}}\, dx"," ",0,"int(1/(x*(x^2-q))^(1/3),x)","F"
42,0,0,65,0.037000," ","int(1/((x-1)*(x^2+q-2*x))^(1/3),x)","\int \frac{1}{\left(\left(x -1\right) \left(x^{2}+q -2 x \right)\right)^{\frac{1}{3}}}\, dx"," ",0,"int(1/((x-1)*(x^2+q-2*x))^(1/3),x)","F"
43,0,0,90,0.047000," ","int(1/x/((x-1)*(-2*q*x+x^2+q))^(1/3),x)","\int \frac{1}{\left(\left(x -1\right) \left(-2 q x +x^{2}+q \right)\right)^{\frac{1}{3}} x}\, dx"," ",0,"int(1/x/((x-1)*(-2*q*x+x^2+q))^(1/3),x)","F"
44,0,0,86,0.126000," ","int((2-(1+k)*x)/((-x+1)*x*(-k*x+1))^(1/3)/(1-(1+k)*x),x)","\int \frac{-\left(k +1\right) x +2}{\left(\left(-x +1\right) \left(-k x +1\right) x \right)^{\frac{1}{3}} \left(-\left(k +1\right) x +1\right)}\, dx"," ",0,"int((2-(1+k)*x)/((-x+1)*x*(-k*x+1))^(1/3)/(1-(1+k)*x),x)","F"
45,0,0,142,0.097000," ","int((-k*x+1)/(1+(-2+k)*x)/((-x+1)*(-k*x+1)*x)^(2/3),x)","\int \frac{-k x +1}{\left(\left(k -2\right) x +1\right) \left(\left(-x +1\right) \left(-k x +1\right) x \right)^{\frac{2}{3}}}\, dx"," ",0,"int((-k*x+1)/(1+(-2+k)*x)/((-x+1)*(-k*x+1)*x)^(2/3),x)","F"
46,0,0,392,0.276000," ","int((c*x^2+b*x+a)/(x^2-x+1)/(-x^3+1)^(1/3),x)","\int \frac{c \,x^{2}+b x +a}{\left(x^{2}-x +1\right) \left(-x^{3}+1\right)^{\frac{1}{3}}}\, dx"," ",0,"int((c*x^2+b*x+a)/(x^2-x+1)/(-x^3+1)^(1/3),x)","F"
47,1,584,295,0.120000," ","int(1/(3-2*x)^(11/2)/(2*x^2+x+1)^5,x)","-\frac{731595 \left(7+2 \sqrt{14}\right) \sqrt{14}\, \arctan \left(\frac{2 \sqrt{-2 x +3}-\sqrt{7+2 \sqrt{14}}}{\sqrt{-7+2 \sqrt{14}}}\right)}{6746464256 \sqrt{-7+2 \sqrt{14}}}+\frac{1424965 \left(7+2 \sqrt{14}\right) \arctan \left(\frac{2 \sqrt{-2 x +3}-\sqrt{7+2 \sqrt{14}}}{\sqrt{-7+2 \sqrt{14}}}\right)}{3373232128 \sqrt{-7+2 \sqrt{14}}}-\frac{578695 \sqrt{14}\, \arctan \left(\frac{2 \sqrt{-2 x +3}-\sqrt{7+2 \sqrt{14}}}{\sqrt{-7+2 \sqrt{14}}}\right)}{3373232128 \sqrt{-7+2 \sqrt{14}}}-\frac{731595 \left(7+2 \sqrt{14}\right) \sqrt{14}\, \arctan \left(\frac{2 \sqrt{-2 x +3}+\sqrt{7+2 \sqrt{14}}}{\sqrt{-7+2 \sqrt{14}}}\right)}{6746464256 \sqrt{-7+2 \sqrt{14}}}+\frac{1424965 \left(7+2 \sqrt{14}\right) \arctan \left(\frac{2 \sqrt{-2 x +3}+\sqrt{7+2 \sqrt{14}}}{\sqrt{-7+2 \sqrt{14}}}\right)}{3373232128 \sqrt{-7+2 \sqrt{14}}}-\frac{578695 \sqrt{14}\, \arctan \left(\frac{2 \sqrt{-2 x +3}+\sqrt{7+2 \sqrt{14}}}{\sqrt{-7+2 \sqrt{14}}}\right)}{3373232128 \sqrt{-7+2 \sqrt{14}}}-\frac{731595 \sqrt{7+2 \sqrt{14}}\, \sqrt{14}\, \ln \left(-2 x +3+\sqrt{14}-\sqrt{-2 x +3}\, \sqrt{7+2 \sqrt{14}}\right)}{13492928512}+\frac{1424965 \sqrt{7+2 \sqrt{14}}\, \ln \left(-2 x +3+\sqrt{14}-\sqrt{-2 x +3}\, \sqrt{7+2 \sqrt{14}}\right)}{6746464256}+\frac{731595 \sqrt{7+2 \sqrt{14}}\, \sqrt{14}\, \ln \left(-2 x +3+\sqrt{14}+\sqrt{-2 x +3}\, \sqrt{7+2 \sqrt{14}}\right)}{13492928512}-\frac{1424965 \sqrt{7+2 \sqrt{14}}\, \ln \left(-2 x +3+\sqrt{14}+\sqrt{-2 x +3}\, \sqrt{7+2 \sqrt{14}}\right)}{6746464256}+\frac{\frac{567651623 \sqrt{-2 x +3}}{32}-\frac{6194606411 \left(-2 x +3\right)^{\frac{3}{2}}}{192}+\frac{9801432515 \left(-2 x +3\right)^{\frac{5}{2}}}{384}-\frac{8763772549 \left(-2 x +3\right)^{\frac{7}{2}}}{768}+\frac{149630663 \left(-2 x +3\right)^{\frac{9}{2}}}{48}-\frac{200063633 \left(-2 x +3\right)^{\frac{11}{2}}}{384}+\frac{18969965 \left(-2 x +3\right)^{\frac{13}{2}}}{384}-\frac{526135 \left(-2 x +3\right)^{\frac{15}{2}}}{256}}{6588344 \left(14 x +\left(-2 x +3\right)^{2}-7\right)^{4}}+\frac{1}{151263 \left(-2 x +3\right)^{\frac{9}{2}}}+\frac{5}{235298 \left(-2 x +3\right)^{\frac{7}{2}}}+\frac{19}{470596 \left(-2 x +3\right)^{\frac{5}{2}}}+\frac{185}{2823576 \left(-2 x +3\right)^{\frac{3}{2}}}+\frac{505}{3294172 \sqrt{-2 x +3}}"," ",0,"1/6588344*(567651623/32*(3-2*x)^(1/2)-6194606411/192*(3-2*x)^(3/2)+9801432515/384*(3-2*x)^(5/2)-8763772549/768*(3-2*x)^(7/2)+149630663/48*(3-2*x)^(9/2)-200063633/384*(3-2*x)^(11/2)+18969965/384*(3-2*x)^(13/2)-526135/256*(3-2*x)^(15/2))/((3-2*x)^2-7+14*x)^4-731595/13492928512*ln(3-2*x+14^(1/2)-(3-2*x)^(1/2)*(7+2*14^(1/2))^(1/2))*(7+2*14^(1/2))^(1/2)*14^(1/2)+1424965/6746464256*ln(3-2*x+14^(1/2)-(3-2*x)^(1/2)*(7+2*14^(1/2))^(1/2))*(7+2*14^(1/2))^(1/2)-731595/6746464256/(-7+2*14^(1/2))^(1/2)*arctan((2*(3-2*x)^(1/2)-(7+2*14^(1/2))^(1/2))/(-7+2*14^(1/2))^(1/2))*(7+2*14^(1/2))*14^(1/2)+1424965/3373232128/(-7+2*14^(1/2))^(1/2)*arctan((2*(3-2*x)^(1/2)-(7+2*14^(1/2))^(1/2))/(-7+2*14^(1/2))^(1/2))*(7+2*14^(1/2))-578695/3373232128/(-7+2*14^(1/2))^(1/2)*arctan((2*(3-2*x)^(1/2)-(7+2*14^(1/2))^(1/2))/(-7+2*14^(1/2))^(1/2))*14^(1/2)+731595/13492928512*ln(3-2*x+14^(1/2)+(3-2*x)^(1/2)*(7+2*14^(1/2))^(1/2))*(7+2*14^(1/2))^(1/2)*14^(1/2)-1424965/6746464256*ln(3-2*x+14^(1/2)+(3-2*x)^(1/2)*(7+2*14^(1/2))^(1/2))*(7+2*14^(1/2))^(1/2)-731595/6746464256/(-7+2*14^(1/2))^(1/2)*arctan((2*(3-2*x)^(1/2)+(7+2*14^(1/2))^(1/2))/(-7+2*14^(1/2))^(1/2))*(7+2*14^(1/2))*14^(1/2)+1424965/3373232128/(-7+2*14^(1/2))^(1/2)*arctan((2*(3-2*x)^(1/2)+(7+2*14^(1/2))^(1/2))/(-7+2*14^(1/2))^(1/2))*(7+2*14^(1/2))-578695/3373232128/(-7+2*14^(1/2))^(1/2)*arctan((2*(3-2*x)^(1/2)+(7+2*14^(1/2))^(1/2))/(-7+2*14^(1/2))^(1/2))*14^(1/2)+1/151263/(3-2*x)^(9/2)+5/235298/(3-2*x)^(7/2)+19/470596/(3-2*x)^(5/2)+185/2823576/(3-2*x)^(3/2)+505/3294172/(3-2*x)^(1/2)","A"
48,1,719,488,0.069000," ","int(1/(-2*x+3)^(21/2)/(2*x^2+x+1)^10,x)","-\frac{206922416016525 \left(7+2 \sqrt{14}\right) \sqrt{14}\, \arctan \left(\frac{2 \sqrt{-2 x +3}-\sqrt{7+2 \sqrt{14}}}{\sqrt{-7+2 \sqrt{14}}}\right)}{637206919404798869504 \sqrt{-7+2 \sqrt{14}}}+\frac{389615613935075 \left(7+2 \sqrt{14}\right) \arctan \left(\frac{2 \sqrt{-2 x +3}-\sqrt{7+2 \sqrt{14}}}{\sqrt{-7+2 \sqrt{14}}}\right)}{318603459702399434752 \sqrt{-7+2 \sqrt{14}}}-\frac{110005543624625 \sqrt{14}\, \arctan \left(\frac{2 \sqrt{-2 x +3}-\sqrt{7+2 \sqrt{14}}}{\sqrt{-7+2 \sqrt{14}}}\right)}{318603459702399434752 \sqrt{-7+2 \sqrt{14}}}-\frac{206922416016525 \left(7+2 \sqrt{14}\right) \sqrt{14}\, \arctan \left(\frac{2 \sqrt{-2 x +3}+\sqrt{7+2 \sqrt{14}}}{\sqrt{-7+2 \sqrt{14}}}\right)}{637206919404798869504 \sqrt{-7+2 \sqrt{14}}}+\frac{389615613935075 \left(7+2 \sqrt{14}\right) \arctan \left(\frac{2 \sqrt{-2 x +3}+\sqrt{7+2 \sqrt{14}}}{\sqrt{-7+2 \sqrt{14}}}\right)}{318603459702399434752 \sqrt{-7+2 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+3\right)^{\frac{47}{2}}}{29480655519744}+\frac{73012476452577571533836489036461787385135079265 \left(-2 x +3\right)^{\frac{49}{2}}}{2680059592704}-\frac{1939242920901534821454026903132433081580221023737 \left(-2 x +3\right)^{\frac{51}{2}}}{501171143835648}+\frac{490738543064879423955077165987434152441563270473 \left(-2 x +3\right)^{\frac{53}{2}}}{1002342287671296}-\frac{55011835288361289002011693179378316699033102675 \left(-2 x +3\right)^{\frac{55}{2}}}{1002342287671296}-\frac{22397546321209486953062074374795737299957063565 \left(-2 x +3\right)^{\frac{3}{2}}}{3145728}+\frac{404531566689883337048499233527781983599187634017 \left(-2 x +3\right)^{\frac{5}{2}}}{12582912}-\frac{1188598027552254830082683218064697188605612952419 \left(-2 x +3\right)^{\frac{7}{2}}}{12582912}+\frac{3831583379166294091823572953989993625772471445345 \left(-2 x +3\right)^{\frac{9}{2}}}{18874368}+\frac{9977850126168010187169130424774568330973123412551261 \left(-2 x +3\right)^{\frac{13}{2}}}{21592276992}-\frac{1255696718499588580979726331572072320357969297077745 \left(-2 x +3\right)^{\frac{15}{2}}}{2399141888}}{30145677658996078082575630336 \left(14 x +\left(-2 x +3\right)^{2}-7\right)^{19}}"," ",0,"-7192279694031133468210490184035/1624130632549415368266063684414865684824064/(-7+2*14^(1/2))^(1/2)*(7+2*14^(1/2))*14^(1/2)*arctan((2*(-2*x+3)^(1/2)-(7+2*14^(1/2))^(1/2))/(-7+2*14^(1/2))^(1/2))-7192279694031133468210490184035/1624130632549415368266063684414865684824064/(-7+2*14^(1/2))^(1/2)*(7+2*14^(1/2))*14^(1/2)*arctan((2*(-2*x+3)^(1/2)+(7+2*14^(1/2))^(1/2))/(-7+2*14^(1/2))^(1/2))-7192279694031133468210490184035/3248261265098830736532127368829731369648128*(7+2*14^(1/2))^(1/2)*14^(1/2)*ln(-2*x+3+14^(1/2)-(-2*x+3)^(1/2)*(7+2*14^(1/2))^(1/2))+13457531633280790190212932747565/812065316274707684133031842207432842412032/(-7+2*14^(1/2))^(1/2)*(7+2*14^(1/2))*arctan((2*(-2*x+3)^(1/2)-(7+2*14^(1/2))^(1/2))/(-7+2*14^(1/2))^(1/2))-3484168674905226483378299702015/812065316274707684133031842207432842412032/(-7+2*14^(1/2))^(1/2)*14^(1/2)*arctan((2*(-2*x+3)^(1/2)-(7+2*14^(1/2))^(1/2))/(-7+2*14^(1/2))^(1/2))+7192279694031133468210490184035/3248261265098830736532127368829731369648128*(7+2*14^(1/2))^(1/2)*14^(1/2)*ln(-2*x+3+14^(1/2)+(-2*x+3)^(1/2)*(7+2*14^(1/2))^(1/2))+13457531633280790190212932747565/812065316274707684133031842207432842412032/(-7+2*14^(1/2))^(1/2)*(7+2*14^(1/2))*arctan((2*(-2*x+3)^(1/2)+(7+2*14^(1/2))^(1/2))/(-7+2*14^(1/2))^(1/2))-3484168674905226483378299702015/812065316274707684133031842207432842412032/(-7+2*14^(1/2))^(1/2)*14^(1/2)*arctan((2*(-2*x+3)^(1/2)+(7+2*14^(1/2))^(1/2))/(-7+2*14^(1/2))^(1/2))+683151246370725/30145677658996078082575630336/(-2*x+3)^(1/2)+769045155125/100934188590388654294338048/(-2*x+3)^(9/2)+838467657280275/105509871806486273289014706176/(-2*x+3)^(7/2)+9270470094105/1076631344964145645806272512/(-2*x+3)^(5/2)+320421783064625/30145677658996078082575630336/(-2*x+3)^(3/2)+8192823353/1863702218870150079292928/(-2*x+3)^(19/2)+8972680075/1667523037936450070946304/(-2*x+3)^(17/2)+102495360575/16479051198430800701116416/(-2*x+3)^(15/2)+122484655975/17852305464966700759542784/(-2*x+3)^(13/2)+10815878546425/1480368099325700262983624704/(-2*x+3)^(11/2)+1/3111898385606868039/(-2*x+3)^(39/2)+10/2952313853011644037/(-2*x+3)^(37/2)+143/7819642097165976098/(-2*x+3)^(35/2)+355/5266289575642392066/(-2*x+3)^(33/2)+52865/277038748585308867472/(-2*x+3)^(31/2)+14333/32395660116830472406/(-2*x+3)^(29/2)+1478345/1689042692987850837168/(-2*x+3)^(27/2)+475387/312785683886639043920/(-2*x+3)^(25/2)+16575515/7006399319060714583808/(-2*x+3)^(23/2)+246866015/73567192850137503129984/(-2*x+3)^(21/2)+13457531633280790190212932747565/1624130632549415368266063684414865684824064*(7+2*14^(1/2))^(1/2)*ln(-2*x+3+14^(1/2)-(-2*x+3)^(1/2)*(7+2*14^(1/2))^(1/2))-13457531633280790190212932747565/1624130632549415368266063684414865684824064*(7+2*14^(1/2))^(1/2)*ln(-2*x+3+14^(1/2)+(-2*x+3)^(1/2)*(7+2*14^(1/2))^(1/2))+1/30145677658996078082575630336*(2672239984790337844292019294315182385216573077301785/117922622078976*(-2*x+3)^(41/2)+1186323846453826237212517196312193819452761764018822545/3915399561216*(-2*x+3)^(21/2)-17650942358963262675871173166229809316744939271143/51904512*(-2*x+3)^(11/2)+807597736492641378942268937217995835353849465/1048576*(-2*x+3)^(1/2)-55066091420817590167865401986871791412011888132876913/5527622909952*(-2*x+3)^(31/2)+2737487528928439357869138774910126923363791747141675/755914244096*(-2*x+3)^(33/2)-11664572170215876884203668230743495214488310113371105/9826885173248*(-2*x+3)^(35/2)+12646629333382722716904430763732665179119615389552413/25098715136*(-2*x+3)^(17/2)-2593673203685044441695042001860835122939346700333136537/6199382638592*(-2*x+3)^(19/2)-755930116404682856570195190192032441294632160945523631/3915399561216*(-2*x+3)^(23/2)+853508502207214511987093866021124087908041634697244059/7830799122432*(-2*x+3)^(25/2)-6886173809894005543994516442461871486007042005189775/125627793408*(-2*x+3)^(27/2)+136329987967245395141848253765147208279814148352958009/5527622909952*(-2*x+3)^(29/2)+1808668971148992206490172102870787954874541181/334114095890432*(-2*x+3)^(57/2)-11968977253082880651292892111395530933265219/25701084299264*(-2*x+3)^(59/2)+339556544641293541759958988614814460549873/9826885173248*(-2*x+3)^(61/2)-64243396719140374998473027009027485263697/29480655519744*(-2*x+3)^(63/2)+129886852748727110357425618672922324659/1133871366144*(-2*x+3)^(65/2)-503502693505289734438057515605193725/103079215104*(-2*x+3)^(67/2)+133883313322119397348791732981953297/824633720832*(-2*x+3)^(69/2)-3254850748003483429666738850178379/824633720832*(-2*x+3)^(71/2)+360433340020130123942335063779145/5772436045824*(-2*x+3)^(73/2)-928342237074576734557978321305/1924145348608*(-2*x+3)^(75/2)+13805722741822612586258592099428566280191230197271405/39307540692992*(-2*x+3)^(37/2)-1006304725834560333245233940167063186576585913370455/10720238370816*(-2*x+3)^(39/2)-44796329357069082297154473725670903546220392558695/9070970929152*(-2*x+3)^(43/2)+28607223317693223698395672584150593863016075796143/29480655519744*(-2*x+3)^(45/2)-5059022664167725408892162874688680417923742003781/29480655519744*(-2*x+3)^(47/2)+73012476452577571533836489036461787385135079265/2680059592704*(-2*x+3)^(49/2)-1939242920901534821454026903132433081580221023737/501171143835648*(-2*x+3)^(51/2)+490738543064879423955077165987434152441563270473/1002342287671296*(-2*x+3)^(53/2)-55011835288361289002011693179378316699033102675/1002342287671296*(-2*x+3)^(55/2)-22397546321209486953062074374795737299957063565/3145728*(-2*x+3)^(3/2)+404531566689883337048499233527781983599187634017/12582912*(-2*x+3)^(5/2)-1188598027552254830082683218064697188605612952419/12582912*(-2*x+3)^(7/2)+3831583379166294091823572953989993625772471445345/18874368*(-2*x+3)^(9/2)+9977850126168010187169130424774568330973123412551261/21592276992*(-2*x+3)^(13/2)-1255696718499588580979726331572072320357969297077745/2399141888*(-2*x+3)^(15/2))/(14*x+(-2*x+3)^2-7)^19","A"
50,1,21028,298,0.648000," ","int(1/(x^2-2*x+3)^(11/2)/(2*x^2+x+1)^5,x)","\text{output too large to display}"," ",0,"result too large to display","B"
51,1,86793,518,5.033000," ","int(1/(x^2-2*x+3)^(21/2)/(2*x^2+x+1)^10,x)","\text{output too large to display}"," ",0,"result too large to display","B"
52,1,1275,52,0.119000," ","int((-a+x-(a^2+1)^(1/2))/(-a+x+(a^2+1)^(1/2))/((-a+x)*(x^2+1))^(1/2),x)","\frac{2 \left(-a -i\right) \sqrt{\frac{-a +x}{-a -i}}\, \sqrt{\frac{x -i}{a -i}}\, \sqrt{\frac{x +i}{a +i}}\, \EllipticF \left(\sqrt{\frac{-a +x}{-a -i}}, \sqrt{\frac{a +i}{a -i}}\right)}{\sqrt{-a \,x^{2}+x^{3}-a +x}}-2 \sqrt{a^{2}+1}\, \left(-\frac{i \sqrt{-i x +1}\, \sqrt{-\frac{a}{-a -i}+\frac{x}{-a -i}}\, \sqrt{i x +1}\, a^{2} \EllipticPi \left(\frac{\sqrt{2}\, \sqrt{-i \left(x +i\right)}}{2}, -\frac{2 i}{-a -i-\sqrt{a^{2}+1}}, \sqrt{2}\, \sqrt{-\frac{i}{-a -i}}\right)}{\sqrt{a^{2}+1}\, \sqrt{-a^{3} x^{2}+a^{2} x^{3}-a^{3}+a^{2} x -a \,x^{2}+x^{3}-a +x}\, \left(-a -i-\sqrt{a^{2}+1}\right)}+\frac{i \sqrt{-i x +1}\, \sqrt{-\frac{a}{-a -i}+\frac{x}{-a -i}}\, \sqrt{i x +1}\, a^{2} \EllipticPi \left(\frac{\sqrt{2}\, \sqrt{-i \left(x +i\right)}}{2}, -\frac{2 i}{-a -i+\sqrt{a^{2}+1}}, \sqrt{2}\, \sqrt{-\frac{i}{-a -i}}\right)}{\sqrt{a^{2}+1}\, \sqrt{-a^{3} x^{2}+a^{2} x^{3}-a^{3}+a^{2} x -a \,x^{2}+x^{3}-a +x}\, \left(-a -i+\sqrt{a^{2}+1}\right)}-\frac{\sqrt{-\frac{a}{-a -i}+\frac{x}{-a -i}}\, \sqrt{\frac{x}{a -i}-\frac{i}{a -i}}\, \sqrt{\frac{x}{a +i}+\frac{i}{a +i}}\, a \EllipticPi \left(\sqrt{\frac{-a +x}{-a -i}}, \frac{a +i}{\sqrt{a^{2}+1}}, \sqrt{\frac{a +i}{a -i}}\right)}{\sqrt{-a \,x^{2}+x^{3}-a +x}\, \sqrt{a^{2}+1}}+\frac{\sqrt{-\frac{a}{-a -i}+\frac{x}{-a -i}}\, \sqrt{\frac{x}{a -i}-\frac{i}{a -i}}\, \sqrt{\frac{x}{a +i}+\frac{i}{a +i}}\, a \EllipticPi \left(\sqrt{\frac{-a +x}{-a -i}}, -\frac{a +i}{\sqrt{a^{2}+1}}, \sqrt{\frac{a +i}{a -i}}\right)}{\sqrt{-a \,x^{2}+x^{3}-a +x}\, \sqrt{a^{2}+1}}-\frac{i \sqrt{-\frac{a}{-a -i}+\frac{x}{-a -i}}\, \sqrt{\frac{x}{a -i}-\frac{i}{a -i}}\, \sqrt{\frac{x}{a +i}+\frac{i}{a +i}}\, \EllipticPi \left(\sqrt{\frac{-a +x}{-a -i}}, \frac{a +i}{\sqrt{a^{2}+1}}, \sqrt{\frac{a +i}{a -i}}\right)}{\sqrt{-a \,x^{2}+x^{3}-a +x}\, \sqrt{a^{2}+1}}+\frac{i \sqrt{-\frac{a}{-a -i}+\frac{x}{-a -i}}\, \sqrt{\frac{x}{a -i}-\frac{i}{a -i}}\, \sqrt{\frac{x}{a +i}+\frac{i}{a +i}}\, \EllipticPi \left(\sqrt{\frac{-a +x}{-a -i}}, -\frac{a +i}{\sqrt{a^{2}+1}}, \sqrt{\frac{a +i}{a -i}}\right)}{\sqrt{-a \,x^{2}+x^{3}-a +x}\, \sqrt{a^{2}+1}}-\frac{i \sqrt{-i x +1}\, \sqrt{-\frac{a}{-a -i}+\frac{x}{-a -i}}\, \sqrt{i x +1}\, \EllipticPi \left(\frac{\sqrt{2}\, \sqrt{-i \left(x +i\right)}}{2}, -\frac{2 i}{-a -i-\sqrt{a^{2}+1}}, \sqrt{2}\, \sqrt{-\frac{i}{-a -i}}\right)}{\sqrt{a^{2}+1}\, \sqrt{-a^{3} x^{2}+a^{2} x^{3}-a^{3}+a^{2} x -a \,x^{2}+x^{3}-a +x}\, \left(-a -i-\sqrt{a^{2}+1}\right)}+\frac{i \sqrt{-i x +1}\, \sqrt{-\frac{a}{-a -i}+\frac{x}{-a -i}}\, \sqrt{i x +1}\, \EllipticPi \left(\frac{\sqrt{2}\, \sqrt{-i \left(x +i\right)}}{2}, -\frac{2 i}{-a -i+\sqrt{a^{2}+1}}, \sqrt{2}\, \sqrt{-\frac{i}{-a -i}}\right)}{\sqrt{a^{2}+1}\, \sqrt{-a^{3} x^{2}+a^{2} x^{3}-a^{3}+a^{2} x -a \,x^{2}+x^{3}-a +x}\, \left(-a -i+\sqrt{a^{2}+1}\right)}\right)"," ",0,"2*(-a-I)*((-a+x)/(-a-I))^(1/2)*((x-I)/(a-I))^(1/2)*((x+I)/(a+I))^(1/2)/(-a*x^2+x^3-a+x)^(1/2)*EllipticF(((-a+x)/(-a-I))^(1/2),((a+I)/(a-I))^(1/2))-2*(a^2+1)^(1/2)*(-I/(a^2+1)^(1/2)*(-I*x+1)^(1/2)*(-1/(-a-I)*a+1/(-a-I)*x)^(1/2)*(I*x+1)^(1/2)/(-a^3*x^2+a^2*x^3-a^3+a^2*x-a*x^2+x^3-a+x)^(1/2)/(-I-a-(a^2+1)^(1/2))*EllipticPi(1/2*2^(1/2)*(-I*(x+I))^(1/2),-2*I/(-I-a-(a^2+1)^(1/2)),2^(1/2)*(-I/(-a-I))^(1/2))*a^2-I/(a^2+1)^(1/2)*(-I*x+1)^(1/2)*(-1/(-a-I)*a+1/(-a-I)*x)^(1/2)*(I*x+1)^(1/2)/(-a^3*x^2+a^2*x^3-a^3+a^2*x-a*x^2+x^3-a+x)^(1/2)/(-I-a-(a^2+1)^(1/2))*EllipticPi(1/2*2^(1/2)*(-I*(x+I))^(1/2),-2*I/(-I-a-(a^2+1)^(1/2)),2^(1/2)*(-I/(-a-I))^(1/2))+I/(a^2+1)^(1/2)*(-I*x+1)^(1/2)*(-1/(-a-I)*a+1/(-a-I)*x)^(1/2)*(I*x+1)^(1/2)/(-a^3*x^2+a^2*x^3-a^3+a^2*x-a*x^2+x^3-a+x)^(1/2)/(-I-a+(a^2+1)^(1/2))*EllipticPi(1/2*2^(1/2)*(-I*(x+I))^(1/2),-2*I/(-I-a+(a^2+1)^(1/2)),2^(1/2)*(-I/(-a-I))^(1/2))*a^2+I/(a^2+1)^(1/2)*(-I*x+1)^(1/2)*(-1/(-a-I)*a+1/(-a-I)*x)^(1/2)*(I*x+1)^(1/2)/(-a^3*x^2+a^2*x^3-a^3+a^2*x-a*x^2+x^3-a+x)^(1/2)/(-I-a+(a^2+1)^(1/2))*EllipticPi(1/2*2^(1/2)*(-I*(x+I))^(1/2),-2*I/(-I-a+(a^2+1)^(1/2)),2^(1/2)*(-I/(-a-I))^(1/2))+(-1/(-a-I)*a+1/(-a-I)*x)^(1/2)*(1/(a-I)*x-I/(a-I))^(1/2)*(1/(a+I)*x+I/(a+I))^(1/2)/(-a*x^2+x^3-a+x)^(1/2)/(a^2+1)^(1/2)*EllipticPi(((-a+x)/(-a-I))^(1/2),-(a+I)/(a^2+1)^(1/2),((a+I)/(a-I))^(1/2))*a+I*(-1/(-a-I)*a+1/(-a-I)*x)^(1/2)*(1/(a-I)*x-I/(a-I))^(1/2)*(1/(a+I)*x+I/(a+I))^(1/2)/(-a*x^2+x^3-a+x)^(1/2)/(a^2+1)^(1/2)*EllipticPi(((-a+x)/(-a-I))^(1/2),-(a+I)/(a^2+1)^(1/2),((a+I)/(a-I))^(1/2))-(-1/(-a-I)*a+1/(-a-I)*x)^(1/2)*(1/(a-I)*x-I/(a-I))^(1/2)*(1/(a+I)*x+I/(a+I))^(1/2)/(-a*x^2+x^3-a+x)^(1/2)/(a^2+1)^(1/2)*EllipticPi(((-a+x)/(-a-I))^(1/2),(a+I)/(a^2+1)^(1/2),((a+I)/(a-I))^(1/2))*a-I*(-1/(-a-I)*a+1/(-a-I)*x)^(1/2)*(1/(a-I)*x-I/(a-I))^(1/2)*(1/(a+I)*x+I/(a+I))^(1/2)/(-a*x^2+x^3-a+x)^(1/2)/(a^2+1)^(1/2)*EllipticPi(((-a+x)/(-a-I))^(1/2),(a+I)/(a^2+1)^(1/2),((a+I)/(a-I))^(1/2)))","C"
53,0,0,145,0.122000," ","int((b*x+a)/(-x^2+1)^(1/3)/(x^2+3),x)","\int \frac{b x +a}{\left(-x^{2}+1\right)^{\frac{1}{3}} \left(x^{2}+3\right)}\, dx"," ",0,"int((b*x+a)/(-x^2+1)^(1/3)/(x^2+3),x)","F"
54,0,0,143,0.114000," ","int((b*x+a)/(-x^2+3)/(x^2+1)^(1/3),x)","\int \frac{b x +a}{\left(-x^{2}+3\right) \left(x^{2}+1\right)^{\frac{1}{3}}}\, dx"," ",0,"int((b*x+a)/(-x^2+3)/(x^2+1)^(1/3),x)","F"
55,1,2378,76,14.133000," ","int(1/x/(3*x^2-6*x+4)^(1/3),x)","\text{Expression too large to display}"," ",0,"1/6*RootOf(_Z^3-2)*ln((160*RootOf(_Z^3-2)-8*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)*x^3+192*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)*x^2-384*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)*x-36*(3*x^2-6*x+4)^(2/3)+256*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)-5*RootOf(_Z^3-2)*x^3+120*RootOf(_Z^3-2)*x^2-240*RootOf(_Z^3-2)*x-48*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)^2*RootOf(_Z^3-2)^2*x^2-30*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)*RootOf(_Z^3-2)^3*x^2-64*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)^2*RootOf(_Z^3-2)^2-40*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)*RootOf(_Z^3-2)^3+48*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)*RootOf(_Z^3-2)^2*(3*x^2-6*x+4)^(2/3)*x+18*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)*RootOf(_Z^3-2)*(3*x^2-6*x+4)^(1/3)*x^2-72*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)*RootOf(_Z^3-2)*(3*x^2-6*x+4)^(1/3)*x-96*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)*RootOf(_Z^3-2)^2*(3*x^2-6*x+4)^(2/3)-15*RootOf(_Z^3-2)^2*(3*x^2-6*x+4)^(1/3)*x^2+60*RootOf(_Z^3-2)^2*(3*x^2-6*x+4)^(1/3)*x+72*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)*RootOf(_Z^3-2)*(3*x^2-6*x+4)^(1/3)+96*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)^2*RootOf(_Z^3-2)^2*x+60*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)*RootOf(_Z^3-2)^3*x-60*RootOf(_Z^3-2)^2*(3*x^2-6*x+4)^(1/3)+18*(3*x^2-6*x+4)^(2/3)*x+16*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)^2*RootOf(_Z^3-2)^2*x^3+10*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)*RootOf(_Z^3-2)^3*x^3)/x^3)-1/3*ln((-200*RootOf(_Z^3-2)+6*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)*x^3-60*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)*x^2+120*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)*x+60*(3*x^2-6*x+4)^(2/3)-80*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)+15*RootOf(_Z^3-2)*x^3-150*RootOf(_Z^3-2)*x^2+300*RootOf(_Z^3-2)*x-12*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)^2*RootOf(_Z^3-2)^2*x^2-30*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)*RootOf(_Z^3-2)^3*x^2-16*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)^2*RootOf(_Z^3-2)^2-40*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)*RootOf(_Z^3-2)^3-48*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)*RootOf(_Z^3-2)^2*(3*x^2-6*x+4)^(2/3)*x-30*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)*RootOf(_Z^3-2)*(3*x^2-6*x+4)^(1/3)*x^2+120*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)*RootOf(_Z^3-2)*(3*x^2-6*x+4)^(1/3)*x+96*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)*RootOf(_Z^3-2)^2*(3*x^2-6*x+4)^(2/3)+9*RootOf(_Z^3-2)^2*(3*x^2-6*x+4)^(1/3)*x^2-36*RootOf(_Z^3-2)^2*(3*x^2-6*x+4)^(1/3)*x-120*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)*RootOf(_Z^3-2)*(3*x^2-6*x+4)^(1/3)+24*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)^2*RootOf(_Z^3-2)^2*x+60*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)*RootOf(_Z^3-2)^3*x+36*RootOf(_Z^3-2)^2*(3*x^2-6*x+4)^(1/3)-30*(3*x^2-6*x+4)^(2/3)*x+4*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)^2*RootOf(_Z^3-2)^2*x^3+10*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)*RootOf(_Z^3-2)^3*x^3)/x^3)*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)-1/6*ln((-200*RootOf(_Z^3-2)+6*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)*x^3-60*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)*x^2+120*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)*x+60*(3*x^2-6*x+4)^(2/3)-80*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)+15*RootOf(_Z^3-2)*x^3-150*RootOf(_Z^3-2)*x^2+300*RootOf(_Z^3-2)*x-12*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)^2*RootOf(_Z^3-2)^2*x^2-30*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)*RootOf(_Z^3-2)^3*x^2-16*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)^2*RootOf(_Z^3-2)^2-40*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)*RootOf(_Z^3-2)^3-48*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)*RootOf(_Z^3-2)^2*(3*x^2-6*x+4)^(2/3)*x-30*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)*RootOf(_Z^3-2)*(3*x^2-6*x+4)^(1/3)*x^2+120*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)*RootOf(_Z^3-2)*(3*x^2-6*x+4)^(1/3)*x+96*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)*RootOf(_Z^3-2)^2*(3*x^2-6*x+4)^(2/3)+9*RootOf(_Z^3-2)^2*(3*x^2-6*x+4)^(1/3)*x^2-36*RootOf(_Z^3-2)^2*(3*x^2-6*x+4)^(1/3)*x-120*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)*RootOf(_Z^3-2)*(3*x^2-6*x+4)^(1/3)+24*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)^2*RootOf(_Z^3-2)^2*x+60*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)*RootOf(_Z^3-2)^3*x+36*RootOf(_Z^3-2)^2*(3*x^2-6*x+4)^(1/3)-30*(3*x^2-6*x+4)^(2/3)*x+4*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)^2*RootOf(_Z^3-2)^2*x^3+10*RootOf(RootOf(_Z^3-2)^2+2*_Z*RootOf(_Z^3-2)+4*_Z^2)*RootOf(_Z^3-2)^3*x^3)/x^3)*RootOf(_Z^3-2)","C"
56,1,69,58,0.104000," ","int(x*(-x^3+1)^(1/3),x)","\frac{\left(x^{3}-1\right)^{\frac{2}{3}} \left(-\mathrm{signum}\left(x^{3}-1\right)\right)^{\frac{2}{3}} x^{2} \hypergeom \left(\left[\frac{2}{3}, \frac{2}{3}\right], \left[\frac{5}{3}\right], x^{3}\right)}{6 \left(-x^{3}+1\right)^{\frac{2}{3}} \mathrm{signum}\left(x^{3}-1\right)^{\frac{2}{3}}}-\frac{\left(x^{3}-1\right) x^{2}}{3 \left(-x^{3}+1\right)^{\frac{2}{3}}}"," ",0,"-1/3*x^2*(x^3-1)/(-x^3+1)^(2/3)+1/6*(x^3-1)^(2/3)/signum(x^3-1)^(2/3)*(-signum(x^3-1))^(2/3)*x^2*hypergeom([2/3,2/3],[5/3],x^3)/(-x^3+1)^(2/3)","C"
57,1,49,54,0.107000," ","int((-x^3+1)^(1/3)/x,x)","-\frac{\Gamma \left(\frac{2}{3}\right) x^{3} \hypergeom \left(\left[\frac{2}{3}, 1, 1\right], \left[2, 2\right], x^{3}\right)-3 \left(3 \ln \left(x \right)+3+\frac{\pi  \sqrt{3}}{6}-\frac{3 \ln \left(3\right)}{2}+i \pi \right) \Gamma \left(\frac{2}{3}\right)}{9 \Gamma \left(\frac{2}{3}\right)}"," ",0,"-1/9/GAMMA(2/3)*(GAMMA(2/3)*x^3*hypergeom([2/3,1,1],[2,2],x^3)-3*(3+1/6*Pi*3^(1/2)-3/2*ln(3)+3*ln(x)+I*Pi)*GAMMA(2/3))","C"
58,1,2972,381,19.957000," ","int((-x^3+1)^(1/3)/(x+1),x)","\text{output too large to display}"," ",0,"-(x^3-1)/(-x^3+1)^(2/3)+(1/2*RootOf(_Z^3-2)*ln((2*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)^2*RootOf(_Z^3-2)^2*x^3+4*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)*RootOf(_Z^3-2)^3*x^3+2*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)^2*RootOf(_Z^3-2)^2*x^2+4*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)*RootOf(_Z^3-2)^3*x^2+2*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)^2*RootOf(_Z^3-2)^2*x+4*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)*RootOf(_Z^3-2)^3*x+5*(x^6-2*x^3+1)^(2/3)*RootOf(_Z^3-2)^2*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)-2*(x^6-2*x^3+1)^(1/3)*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)*RootOf(_Z^3-2)*x^2-7*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)*x^4+8*(x^6-2*x^3+1)^(1/3)*RootOf(_Z^3-2)^2*x^2-14*RootOf(_Z^3-2)*x^4-2*(x^6-2*x^3+1)^(1/3)*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)*RootOf(_Z^3-2)*x-9*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)*x^3+8*(x^6-2*x^3+1)^(1/3)*RootOf(_Z^3-2)^2*x-18*RootOf(_Z^3-2)*x^3-2*(x^6-2*x^3+1)^(1/3)*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)*RootOf(_Z^3-2)-16*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)*x^2+8*(x^6-2*x^3+1)^(1/3)*RootOf(_Z^3-2)^2-32*RootOf(_Z^3-2)*x^2-9*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)*x-18*RootOf(_Z^3-2)*x+2*(x^6-2*x^3+1)^(2/3)-7*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)-14*RootOf(_Z^3-2))/(x+1)^2/(x^2+x+1))-1/2*ln((2*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)^2*RootOf(_Z^3-2)^2*x^3+4*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)*RootOf(_Z^3-2)^3*x^3+2*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)^2*RootOf(_Z^3-2)^2*x^2+4*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)*RootOf(_Z^3-2)^3*x^2+2*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)^2*RootOf(_Z^3-2)^2*x+4*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)*RootOf(_Z^3-2)^3*x-5*(x^6-2*x^3+1)^(2/3)*RootOf(_Z^3-2)^2*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)+8*(x^6-2*x^3+1)^(1/3)*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)*RootOf(_Z^3-2)*x^2+7*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)*x^4-2*(x^6-2*x^3+1)^(1/3)*RootOf(_Z^3-2)^2*x^2+14*RootOf(_Z^3-2)*x^4+8*(x^6-2*x^3+1)^(1/3)*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)*RootOf(_Z^3-2)*x+13*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)*x^3-2*(x^6-2*x^3+1)^(1/3)*RootOf(_Z^3-2)^2*x+26*RootOf(_Z^3-2)*x^3+8*(x^6-2*x^3+1)^(1/3)*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)*RootOf(_Z^3-2)+20*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)*x^2-2*(x^6-2*x^3+1)^(1/3)*RootOf(_Z^3-2)^2+40*RootOf(_Z^3-2)*x^2+13*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)*x+26*RootOf(_Z^3-2)*x-8*(x^6-2*x^3+1)^(2/3)+7*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)+14*RootOf(_Z^3-2))/(x+1)^2/(x^2+x+1))*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)-1/2*ln((2*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)^2*RootOf(_Z^3-2)^2*x^3+4*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)*RootOf(_Z^3-2)^3*x^3+2*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)^2*RootOf(_Z^3-2)^2*x^2+4*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)*RootOf(_Z^3-2)^3*x^2+2*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)^2*RootOf(_Z^3-2)^2*x+4*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)*RootOf(_Z^3-2)^3*x-5*(x^6-2*x^3+1)^(2/3)*RootOf(_Z^3-2)^2*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)+8*(x^6-2*x^3+1)^(1/3)*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)*RootOf(_Z^3-2)*x^2+7*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)*x^4-2*(x^6-2*x^3+1)^(1/3)*RootOf(_Z^3-2)^2*x^2+14*RootOf(_Z^3-2)*x^4+8*(x^6-2*x^3+1)^(1/3)*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)*RootOf(_Z^3-2)*x+13*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)*x^3-2*(x^6-2*x^3+1)^(1/3)*RootOf(_Z^3-2)^2*x+26*RootOf(_Z^3-2)*x^3+8*(x^6-2*x^3+1)^(1/3)*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)*RootOf(_Z^3-2)+20*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)*x^2-2*(x^6-2*x^3+1)^(1/3)*RootOf(_Z^3-2)^2+40*RootOf(_Z^3-2)*x^2+13*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)*x+26*RootOf(_Z^3-2)*x-8*(x^6-2*x^3+1)^(2/3)+7*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)+14*RootOf(_Z^3-2))/(x+1)^2/(x^2+x+1))*RootOf(_Z^3-2)-1/3*ln((RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)^2*RootOf(_Z^3-2)^4*x^6-RootOf(_Z^3-2)^4*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)^2*x^3+8*RootOf(_Z^3-2)^2*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)*x^6-6*(x^6-2*x^3+1)^(2/3)*RootOf(_Z^3-2)^2*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)*x^2-10*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)*RootOf(_Z^3-2)^2*x^3+16*x^6-12*(x^6-2*x^3+1)^(1/3)*x^4+2*RootOf(_Z^3-2)^2*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)-24*x^3+12*(x^6-2*x^3+1)^(1/3)*x+8)/(x-1)/(x^2+x+1))+1/3*ln((RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)^2*RootOf(_Z^3-2)^4*x^6-RootOf(_Z^3-2)^4*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)^2*x^3+2*RootOf(_Z^3-2)^2*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)*x^6-6*(x^6-2*x^3+1)^(1/3)*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)*RootOf(_Z^3-2)^2*x^4+6*(x^6-2*x^3+1)^(2/3)*RootOf(_Z^3-2)^2*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)*x^2-8*x^6+6*(x^6-2*x^3+1)^(1/3)*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)*RootOf(_Z^3-2)^2*x+12*(x^6-2*x^3+1)^(2/3)*x^2-2*RootOf(_Z^3-2)^2*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)+16*x^3-8)/(x-1)/(x^2+x+1))+1/6*ln((RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)^2*RootOf(_Z^3-2)^4*x^6-RootOf(_Z^3-2)^4*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)^2*x^3+2*RootOf(_Z^3-2)^2*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)*x^6-6*(x^6-2*x^3+1)^(1/3)*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)*RootOf(_Z^3-2)^2*x^4+6*(x^6-2*x^3+1)^(2/3)*RootOf(_Z^3-2)^2*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)*x^2-8*x^6+6*(x^6-2*x^3+1)^(1/3)*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)*RootOf(_Z^3-2)^2*x+12*(x^6-2*x^3+1)^(2/3)*x^2-2*RootOf(_Z^3-2)^2*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2)+16*x^3-8)/(x-1)/(x^2+x+1))*RootOf(_Z^3-2)^2*RootOf(RootOf(_Z^3-2)^2+_Z*RootOf(_Z^3-2)+_Z^2))/(-x^3+1)^(2/3)*((x^3-1)^2)^(1/3)","C"
59,1,1404,218,33.314000," ","int((-x^3+1)^(1/3)/(x^2-x+1),x)","\text{Expression too large to display}"," ",0,"1/3*RootOf(_Z^2+_Z+1)*ln(-x^3*RootOf(_Z^2+_Z+1)^2-x^3*RootOf(_Z^2+_Z+1)+3*x*(-x^3+1)^(2/3)-3*x^2*(-x^3+1)^(1/3)+2*x^3-RootOf(_Z^2+_Z+1)-2)-1/3*ln(x^3*RootOf(_Z^2+_Z+1)^2+3*RootOf(_Z^2+_Z+1)*(-x^3+1)^(2/3)*x-3*(-x^3+1)^(1/3)*RootOf(_Z^2+_Z+1)*x^2+4*x^3*RootOf(_Z^2+_Z+1)+3*x*(-x^3+1)^(2/3)-3*x^2*(-x^3+1)^(1/3)+4*x^3-RootOf(_Z^2+_Z+1)-2)*RootOf(_Z^2+_Z+1)-1/3*ln(x^3*RootOf(_Z^2+_Z+1)^2+3*RootOf(_Z^2+_Z+1)*(-x^3+1)^(2/3)*x-3*(-x^3+1)^(1/3)*RootOf(_Z^2+_Z+1)*x^2+4*x^3*RootOf(_Z^2+_Z+1)+3*x*(-x^3+1)^(2/3)-3*x^2*(-x^3+1)^(1/3)+4*x^3-RootOf(_Z^2+_Z+1)-2)-1/18*ln(-(36*RootOf(_Z^3+324*RootOf(_Z^2+_Z+1)+162)*RootOf(_Z^2+_Z+1)*(-x^3+1)^(1/3)*x^3-5*RootOf(_Z^3+324*RootOf(_Z^2+_Z+1)+162)^2*x^4-12*RootOf(_Z^3+324*RootOf(_Z^2+_Z+1)+162)*RootOf(_Z^2+_Z+1)*(-x^3+1)^(1/3)*x^2+2*RootOf(_Z^3+324*RootOf(_Z^2+_Z+1)+162)^2*x^3+18*RootOf(_Z^3+324*RootOf(_Z^2+_Z+1)+162)*(-x^3+1)^(1/3)*x^3-12*RootOf(_Z^3+324*RootOf(_Z^2+_Z+1)+162)*RootOf(_Z^2+_Z+1)*(-x^3+1)^(1/3)*x+RootOf(_Z^3+324*RootOf(_Z^2+_Z+1)+162)^2*x^2-6*RootOf(_Z^3+324*RootOf(_Z^2+_Z+1)+162)*(-x^3+1)^(1/3)*x^2+216*(-x^3+1)^(2/3)*x^2+2*RootOf(_Z^3+324*RootOf(_Z^2+_Z+1)+162)^2*x-6*RootOf(_Z^3+324*RootOf(_Z^2+_Z+1)+162)*(-x^3+1)^(1/3)*x-108*x*(-x^3+1)^(2/3)-RootOf(_Z^3+324*RootOf(_Z^2+_Z+1)+162)^2)/(x^2-x+1)^2)*RootOf(_Z^2+_Z+1)*RootOf(_Z^3+324*RootOf(_Z^2+_Z+1)+162)-1/18*ln(-(36*RootOf(_Z^3+324*RootOf(_Z^2+_Z+1)+162)*RootOf(_Z^2+_Z+1)*(-x^3+1)^(1/3)*x^3-5*RootOf(_Z^3+324*RootOf(_Z^2+_Z+1)+162)^2*x^4-12*RootOf(_Z^3+324*RootOf(_Z^2+_Z+1)+162)*RootOf(_Z^2+_Z+1)*(-x^3+1)^(1/3)*x^2+2*RootOf(_Z^3+324*RootOf(_Z^2+_Z+1)+162)^2*x^3+18*RootOf(_Z^3+324*RootOf(_Z^2+_Z+1)+162)*(-x^3+1)^(1/3)*x^3-12*RootOf(_Z^3+324*RootOf(_Z^2+_Z+1)+162)*RootOf(_Z^2+_Z+1)*(-x^3+1)^(1/3)*x+RootOf(_Z^3+324*RootOf(_Z^2+_Z+1)+162)^2*x^2-6*RootOf(_Z^3+324*RootOf(_Z^2+_Z+1)+162)*(-x^3+1)^(1/3)*x^2+216*(-x^3+1)^(2/3)*x^2+2*RootOf(_Z^3+324*RootOf(_Z^2+_Z+1)+162)^2*x-6*RootOf(_Z^3+324*RootOf(_Z^2+_Z+1)+162)*(-x^3+1)^(1/3)*x-108*x*(-x^3+1)^(2/3)-RootOf(_Z^3+324*RootOf(_Z^2+_Z+1)+162)^2)/(x^2-x+1)^2)*RootOf(_Z^3+324*RootOf(_Z^2+_Z+1)+162)+1/18*RootOf(_Z^3+324*RootOf(_Z^2+_Z+1)+162)*ln(-(RootOf(_Z^2+_Z+1)*RootOf(_Z^3+324*RootOf(_Z^2+_Z+1)+162)^2*x^4+2*RootOf(_Z^2+_Z+1)*RootOf(_Z^3+324*RootOf(_Z^2+_Z+1)+162)^2*x^3+6*RootOf(_Z^3+324*RootOf(_Z^2+_Z+1)+162)*RootOf(_Z^2+_Z+1)*(-x^3+1)^(1/3)*x^3-RootOf(_Z^2+_Z+1)*RootOf(_Z^3+324*RootOf(_Z^2+_Z+1)+162)^2*x^2-18*RootOf(_Z^3+324*RootOf(_Z^2+_Z+1)+162)*RootOf(_Z^2+_Z+1)*(-x^3+1)^(1/3)*x^2-6*RootOf(_Z^3+324*RootOf(_Z^2+_Z+1)+162)*(-x^3+1)^(1/3)*x^3-2*RootOf(_Z^2+_Z+1)*RootOf(_Z^3+324*RootOf(_Z^2+_Z+1)+162)^2*x+6*RootOf(_Z^3+324*RootOf(_Z^2+_Z+1)+162)*RootOf(_Z^2+_Z+1)*(-x^3+1)^(1/3)*x+18*RootOf(_Z^3+324*RootOf(_Z^2+_Z+1)+162)*(-x^3+1)^(1/3)*x^2+108*(-x^3+1)^(2/3)*x^2+RootOf(_Z^2+_Z+1)*RootOf(_Z^3+324*RootOf(_Z^2+_Z+1)+162)^2-6*RootOf(_Z^3+324*RootOf(_Z^2+_Z+1)+162)*(-x^3+1)^(1/3)*x-108*x*(-x^3+1)^(2/3))/(x^2-x+1)^2)","C"
60,0,0,178,0.850000," ","int((-x^3+1)^(1/3)/(x+2),x)","\int \frac{\left(-x^{3}+1\right)^{\frac{1}{3}}}{x +2}\, dx"," ",0,"int((-x^3+1)^(1/3)/(x+2),x)","F"
61,0,0,125,4.236000," ","int((x+2)/(x^2+x+1)/(x^3+2)^(1/3),x)","\int \frac{x +2}{\left(x^{2}+x +1\right) \left(x^{3}+2\right)^{\frac{1}{3}}}\, dx"," ",0,"int((x+2)/(x^2+x+1)/(x^3+2)^(1/3),x)","F"
62,1,24,23,0.004000," ","int((160*x^3+30*x^2-3*x+3)/(320*x^4+80*x^3-12*x^2+24*x+9),x)","\frac{\ln \left(320 x^{4}+80 x^{3}-12 x^{2}+24 x +9\right)}{8}"," ",0,"1/8*ln(320*x^4+80*x^3-12*x^2+24*x+9)","A"
63,1,52,43,0.031000," ","int((20*x^2+12*x+3)/(320*x^4+80*x^3-12*x^2+24*x+9),x)","\frac{\sqrt{11}\, \arctan \left(\frac{\left(40 x -7\right) \sqrt{11}}{55}\right)}{22}+\frac{\sqrt{11}\, \arctan \left(\frac{400 \sqrt{11}\, x^{3}}{33}-\frac{20 \sqrt{11}\, x^{2}}{33}+\frac{5 \sqrt{11}\, x}{11}+\frac{19 \sqrt{11}}{22}\right)}{22}"," ",0,"1/22*11^(1/2)*arctan(1/55*(40*x-7)*11^(1/2))+1/22*11^(1/2)*arctan(-20/33*11^(1/2)*x^2+5/11*11^(1/2)*x+19/22*11^(1/2)+400/33*11^(1/2)*x^3)","A"
64,1,75,66,0.026000," ","int((2560*x^3-400*x^2-576*x-84)/(320*x^4+80*x^3-12*x^2+24*x+9),x)","-2 \sqrt{11}\, \arctan \left(\frac{\left(40 x -7\right) \sqrt{11}}{55}\right)-2 \sqrt{11}\, \arctan \left(\frac{400 \sqrt{11}\, x^{3}}{33}-\frac{20 \sqrt{11}\, x^{2}}{33}+\frac{5 \sqrt{11}\, x}{11}+\frac{19 \sqrt{11}}{22}\right)+2 \ln \left(6400 x^{4}+1600 x^{3}-240 x^{2}+480 x +180\right)"," ",0,"2*ln(6400*x^4+1600*x^3-240*x^2+480*x+180)-2*11^(1/2)*arctan(400/33*11^(1/2)*x^3-20/33*11^(1/2)*x^2+5/11*11^(1/2)*x+19/22*11^(1/2))-2*11^(1/2)*arctan(1/55*(40*x-7)*11^(1/2))","A"
65,1,100,41,0.026000," ","int((-x^4+1)^(1/2)/(x^4+1),x)","\frac{\arctan \left(-\frac{\sqrt{-x^{4}+1}}{x}+1\right)}{4}-\frac{\arctan \left(\frac{\sqrt{-x^{4}+1}}{x}+1\right)}{4}-\frac{\ln \left(\frac{-\frac{\sqrt{-x^{4}+1}}{x}+\frac{-x^{4}+1}{2 x^{2}}+1}{\frac{\sqrt{-x^{4}+1}}{x}+\frac{-x^{4}+1}{2 x^{2}}+1}\right)}{8}"," ",0,"-1/4*arctan((-x^4+1)^(1/2)/x+1)+1/4*arctan(-(-x^4+1)^(1/2)/x+1)-1/8*ln((1/2*(-x^4+1)/x^2-(-x^4+1)^(1/2)/x+1)/(1/2*(-x^4+1)/x^2+(-x^4+1)^(1/2)/x+1))","B"
66,1,365,37,0.038000," ","int((x^4+1)^(1/2)/(-x^4+1),x)","-\frac{i \sqrt{-i x^{2}+1}\, \sqrt{i x^{2}+1}\, \EllipticE \left(\left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) x , i\right)}{2 \left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) \sqrt{x^{4}+1}}-\frac{\sqrt{-i x^{2}+1}\, \sqrt{i x^{2}+1}\, \EllipticF \left(\left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) x , i\right)}{\left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) \sqrt{x^{4}+1}}+\frac{i \sqrt{-i x^{2}+1}\, \sqrt{i x^{2}+1}\, \EllipticF \left(\left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) x , i\right)}{2 \left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) \sqrt{x^{4}+1}}-\frac{\left(-1\right)^{\frac{3}{4}} \sqrt{-i x^{2}+1}\, \sqrt{i x^{2}+1}\, \EllipticPi \left(\left(-1\right)^{\frac{1}{4}} x , -i, -\sqrt{-i}\, \left(-1\right)^{\frac{3}{4}}\right)}{\sqrt{x^{4}+1}}-\frac{\left(-1\right)^{\frac{3}{4}} \sqrt{-i x^{2}+1}\, \sqrt{i x^{2}+1}\, \EllipticPi \left(\left(-1\right)^{\frac{1}{4}} x , i, -\sqrt{-i}\, \left(-1\right)^{\frac{3}{4}}\right)}{\sqrt{x^{4}+1}}-\frac{i \sqrt{-i x^{2}+1}\, \sqrt{i x^{2}+1}\, \left(-\EllipticE \left(\left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) x , i\right)+\EllipticF \left(\left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) x , i\right)\right)}{2 \left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) \sqrt{x^{4}+1}}"," ",0,"-1/(1/2*2^(1/2)+1/2*I*2^(1/2))*(1-I*x^2)^(1/2)*(1+I*x^2)^(1/2)/(x^4+1)^(1/2)*EllipticF(x*(1/2*2^(1/2)+1/2*I*2^(1/2)),I)-1/2*I/(1/2*2^(1/2)+1/2*I*2^(1/2))*(1-I*x^2)^(1/2)*(1+I*x^2)^(1/2)/(x^4+1)^(1/2)*EllipticE(x*(1/2*2^(1/2)+1/2*I*2^(1/2)),I)-(-1)^(3/4)*(1-I*x^2)^(1/2)*(1+I*x^2)^(1/2)/(x^4+1)^(1/2)*EllipticPi((-1)^(1/4)*x,-I,(-I)^(1/2)/(-1)^(1/4))+1/2*I/(1/2*2^(1/2)+1/2*I*2^(1/2))*(1-I*x^2)^(1/2)*(1+I*x^2)^(1/2)/(x^4+1)^(1/2)*EllipticF(x*(1/2*2^(1/2)+1/2*I*2^(1/2)),I)-1/2*I/(1/2*2^(1/2)+1/2*I*2^(1/2))*(1-I*x^2)^(1/2)*(1+I*x^2)^(1/2)/(x^4+1)^(1/2)*(EllipticF(x*(1/2*2^(1/2)+1/2*I*2^(1/2)),I)-EllipticE(x*(1/2*2^(1/2)+1/2*I*2^(1/2)),I))-(-1)^(3/4)*(1-I*x^2)^(1/2)*(1+I*x^2)^(1/2)/(x^4+1)^(1/2)*EllipticPi((-1)^(1/4)*x,I,(-I)^(1/2)/(-1)^(1/4))","C"
67,1,1512,59,0.092000," ","int((x^4+p*x^2+1)^(1/2)/(-x^4+1),x)","\frac{\sqrt{\frac{p \,x^{2}}{2}-\frac{\sqrt{p^{2}-4}\, x^{2}}{2}+1}\, \sqrt{\frac{p \,x^{2}}{2}+\frac{\sqrt{p^{2}-4}\, x^{2}}{2}+1}\, p \EllipticF \left(\frac{\sqrt{-2 p +2 \sqrt{p^{2}-4}}\, x}{2}, \sqrt{-\left(-\frac{p}{2}-\frac{\sqrt{p^{2}-4}}{2}\right) p -1}\right)}{\sqrt{-2 p +2 \sqrt{p^{2}-4}}\, \sqrt{x^{4}+p \,x^{2}+1}}-\frac{\sqrt{\frac{p \,x^{2}}{2}-\frac{\sqrt{p^{2}-4}\, x^{2}}{2}+1}\, \sqrt{\frac{p \,x^{2}}{2}+\frac{\sqrt{p^{2}-4}\, x^{2}}{2}+1}\, p \EllipticPi \left(\sqrt{-\frac{p}{2}+\frac{\sqrt{p^{2}-4}}{2}}\, x , -\frac{1}{-\frac{p}{2}+\frac{\sqrt{p^{2}-4}}{2}}, \frac{\sqrt{-\frac{p}{2}-\frac{\sqrt{p^{2}-4}}{2}}}{\sqrt{-\frac{p}{2}+\frac{\sqrt{p^{2}-4}}{2}}}\right)}{2 \sqrt{-\frac{p}{2}+\frac{\sqrt{p^{2}-4}}{2}}\, \sqrt{x^{4}+p \,x^{2}+1}}+\frac{2 \sqrt{\frac{p \,x^{2}}{2}-\frac{\sqrt{p^{2}-4}\, x^{2}}{2}+1}\, \sqrt{\frac{p \,x^{2}}{2}+\frac{\sqrt{p^{2}-4}\, x^{2}}{2}+1}\, \EllipticE \left(\frac{\sqrt{-2 p +2 \sqrt{p^{2}-4}}\, x}{2}, \sqrt{-\left(-\frac{p}{2}-\frac{\sqrt{p^{2}-4}}{2}\right) p -1}\right)}{\sqrt{-2 p +2 \sqrt{p^{2}-4}}\, \sqrt{x^{4}+p \,x^{2}+1}\, \left(p +\sqrt{p^{2}-4}\right)}+\frac{\left(-p -1\right) \sqrt{-\left(-\frac{p}{2}+\frac{\sqrt{p^{2}-4}}{2}\right) x^{2}+1}\, \sqrt{-\left(-\frac{p}{2}-\frac{\sqrt{p^{2}-4}}{2}\right) x^{2}+1}\, \EllipticF \left(\frac{\sqrt{-2 p +2 \sqrt{p^{2}-4}}\, x}{2}, \sqrt{-\left(-\frac{p}{2}-\frac{\sqrt{p^{2}-4}}{2}\right) p -1}\right)}{2 \sqrt{-2 p +2 \sqrt{p^{2}-4}}\, \sqrt{x^{4}+p \,x^{2}+1}}-\frac{\left(p +1\right) \sqrt{-\left(-\frac{p}{2}+\frac{\sqrt{p^{2}-4}}{2}\right) x^{2}+1}\, \sqrt{-\left(-\frac{p}{2}-\frac{\sqrt{p^{2}-4}}{2}\right) x^{2}+1}\, \EllipticF \left(\frac{\sqrt{-2 p +2 \sqrt{p^{2}-4}}\, x}{2}, \sqrt{-\left(-\frac{p}{2}-\frac{\sqrt{p^{2}-4}}{2}\right) p -1}\right)}{2 \sqrt{-2 p +2 \sqrt{p^{2}-4}}\, \sqrt{x^{4}+p \,x^{2}+1}}-\frac{\sqrt{\frac{p \,x^{2}}{2}-\frac{\sqrt{p^{2}-4}\, x^{2}}{2}+1}\, \sqrt{\frac{p \,x^{2}}{2}+\frac{\sqrt{p^{2}-4}\, x^{2}}{2}+1}\, \EllipticF \left(\frac{\sqrt{-2 p +2 \sqrt{p^{2}-4}}\, x}{2}, \sqrt{-\left(-\frac{p}{2}-\frac{\sqrt{p^{2}-4}}{2}\right) p -1}\right)}{\sqrt{-2 p +2 \sqrt{p^{2}-4}}\, \sqrt{x^{4}+p \,x^{2}+1}}-\frac{2 \sqrt{\frac{p \,x^{2}}{2}-\frac{\sqrt{p^{2}-4}\, x^{2}}{2}+1}\, \sqrt{\frac{p \,x^{2}}{2}+\frac{\sqrt{p^{2}-4}\, x^{2}}{2}+1}\, \EllipticF \left(\frac{\sqrt{-2 p +2 \sqrt{p^{2}-4}}\, x}{2}, \sqrt{-\left(-\frac{p}{2}-\frac{\sqrt{p^{2}-4}}{2}\right) p -1}\right)}{\sqrt{-2 p +2 \sqrt{p^{2}-4}}\, \sqrt{x^{4}+p \,x^{2}+1}\, \left(p +\sqrt{p^{2}-4}\right)}+\frac{\sqrt{\frac{p \,x^{2}}{2}-\frac{\sqrt{p^{2}-4}\, x^{2}}{2}+1}\, \sqrt{\frac{p \,x^{2}}{2}+\frac{\sqrt{p^{2}-4}\, x^{2}}{2}+1}\, \EllipticPi \left(\sqrt{-\frac{p}{2}+\frac{\sqrt{p^{2}-4}}{2}}\, x , -\frac{1}{-\frac{p}{2}+\frac{\sqrt{p^{2}-4}}{2}}, \frac{\sqrt{-\frac{p}{2}-\frac{\sqrt{p^{2}-4}}{2}}}{\sqrt{-\frac{p}{2}+\frac{\sqrt{p^{2}-4}}{2}}}\right)}{\sqrt{-\frac{p}{2}+\frac{\sqrt{p^{2}-4}}{2}}\, \sqrt{x^{4}+p \,x^{2}+1}}+\frac{2 \sqrt{-\left(-\frac{p}{2}+\frac{\sqrt{p^{2}-4}}{2}\right) x^{2}+1}\, \sqrt{-\left(-\frac{p}{2}-\frac{\sqrt{p^{2}-4}}{2}\right) x^{2}+1}\, \left(-\EllipticE \left(\frac{\sqrt{-2 p +2 \sqrt{p^{2}-4}}\, x}{2}, \sqrt{-\left(-\frac{p}{2}-\frac{\sqrt{p^{2}-4}}{2}\right) p -1}\right)+\EllipticF \left(\frac{\sqrt{-2 p +2 \sqrt{p^{2}-4}}\, x}{2}, \sqrt{-\left(-\frac{p}{2}-\frac{\sqrt{p^{2}-4}}{2}\right) p -1}\right)\right)}{\sqrt{-2 p +2 \sqrt{p^{2}-4}}\, \sqrt{x^{4}+p \,x^{2}+1}\, \left(p +\sqrt{p^{2}-4}\right)}+\frac{\left(p +2\right) \left(\frac{\sqrt{-\left(-\frac{p}{2}+\frac{\sqrt{p^{2}-4}}{2}\right) x^{2}+1}\, \sqrt{-\left(-\frac{p}{2}-\frac{\sqrt{p^{2}-4}}{2}\right) x^{2}+1}\, \EllipticPi \left(\sqrt{-\frac{p}{2}+\frac{\sqrt{p^{2}-4}}{2}}\, x , \frac{1}{-\frac{p}{2}+\frac{\sqrt{p^{2}-4}}{2}}, \frac{\sqrt{-\frac{p}{2}-\frac{\sqrt{p^{2}-4}}{2}}}{\sqrt{-\frac{p}{2}+\frac{\sqrt{p^{2}-4}}{2}}}\right)}{\sqrt{-\frac{p}{2}+\frac{\sqrt{p^{2}-4}}{2}}\, \sqrt{x^{4}+p \,x^{2}+1}}-\frac{\arctanh \left(\frac{p \,x^{2}+2 x^{2}+p +2}{2 \sqrt{p +2}\, \sqrt{x^{4}+p \,x^{2}+1}}\right)}{2 \sqrt{p +2}}\right)}{4}-\frac{\left(p +2\right) \left(-\frac{\sqrt{-\left(-\frac{p}{2}+\frac{\sqrt{p^{2}-4}}{2}\right) x^{2}+1}\, \sqrt{-\left(-\frac{p}{2}-\frac{\sqrt{p^{2}-4}}{2}\right) x^{2}+1}\, \EllipticPi \left(\sqrt{-\frac{p}{2}+\frac{\sqrt{p^{2}-4}}{2}}\, x , \frac{1}{-\frac{p}{2}+\frac{\sqrt{p^{2}-4}}{2}}, \frac{\sqrt{-\frac{p}{2}-\frac{\sqrt{p^{2}-4}}{2}}}{\sqrt{-\frac{p}{2}+\frac{\sqrt{p^{2}-4}}{2}}}\right)}{\sqrt{-\frac{p}{2}+\frac{\sqrt{p^{2}-4}}{2}}\, \sqrt{x^{4}+p \,x^{2}+1}}-\frac{\arctanh \left(\frac{p \,x^{2}+2 x^{2}+p +2}{2 \sqrt{p +2}\, \sqrt{x^{4}+p \,x^{2}+1}}\right)}{2 \sqrt{p +2}}\right)}{4}"," ",0,"1/2*(-p-1)/(-2*p+2*(p^2-4)^(1/2))^(1/2)*(1-(-1/2*p+1/2*(p^2-4)^(1/2))*x^2)^(1/2)*(1-(-1/2*p-1/2*(p^2-4)^(1/2))*x^2)^(1/2)/(x^4+p*x^2+1)^(1/2)*EllipticF(1/2*x*(-2*p+2*(p^2-4)^(1/2))^(1/2),(-1-p*(-1/2*p-1/2*(p^2-4)^(1/2)))^(1/2))+2/(-2*p+2*(p^2-4)^(1/2))^(1/2)*(1-(-1/2*p+1/2*(p^2-4)^(1/2))*x^2)^(1/2)*(1-(-1/2*p-1/2*(p^2-4)^(1/2))*x^2)^(1/2)/(x^4+p*x^2+1)^(1/2)/(p+(p^2-4)^(1/2))*(EllipticF(1/2*x*(-2*p+2*(p^2-4)^(1/2))^(1/2),(-1-p*(-1/2*p-1/2*(p^2-4)^(1/2)))^(1/2))-EllipticE(1/2*x*(-2*p+2*(p^2-4)^(1/2))^(1/2),(-1-p*(-1/2*p-1/2*(p^2-4)^(1/2)))^(1/2)))+1/4*(p+2)*(-1/2/(p+2)^(1/2)*arctanh(1/2*(p*x^2+2*x^2+p+2)/(p+2)^(1/2)/(x^4+p*x^2+1)^(1/2))+1/(-1/2*p+1/2*(p^2-4)^(1/2))^(1/2)*(1-(-1/2*p+1/2*(p^2-4)^(1/2))*x^2)^(1/2)*(1-(-1/2*p-1/2*(p^2-4)^(1/2))*x^2)^(1/2)/(x^4+p*x^2+1)^(1/2)*EllipticPi((-1/2*p+1/2*(p^2-4)^(1/2))^(1/2)*x,1/(-1/2*p+1/2*(p^2-4)^(1/2)),(-1/2*p-1/2*(p^2-4)^(1/2))^(1/2)/(-1/2*p+1/2*(p^2-4)^(1/2))^(1/2)))-1/2*(p+1)/(-2*p+2*(p^2-4)^(1/2))^(1/2)*(1-(-1/2*p+1/2*(p^2-4)^(1/2))*x^2)^(1/2)*(1-(-1/2*p-1/2*(p^2-4)^(1/2))*x^2)^(1/2)/(x^4+p*x^2+1)^(1/2)*EllipticF(1/2*x*(-2*p+2*(p^2-4)^(1/2))^(1/2),(-1-p*(-1/2*p-1/2*(p^2-4)^(1/2)))^(1/2))-1/4*(p+2)*(-1/2/(p+2)^(1/2)*arctanh(1/2*(p*x^2+2*x^2+p+2)/(p+2)^(1/2)/(x^4+p*x^2+1)^(1/2))-1/(-1/2*p+1/2*(p^2-4)^(1/2))^(1/2)*(1-(-1/2*p+1/2*(p^2-4)^(1/2))*x^2)^(1/2)*(1-(-1/2*p-1/2*(p^2-4)^(1/2))*x^2)^(1/2)/(x^4+p*x^2+1)^(1/2)*EllipticPi((-1/2*p+1/2*(p^2-4)^(1/2))^(1/2)*x,1/(-1/2*p+1/2*(p^2-4)^(1/2)),(-1/2*p-1/2*(p^2-4)^(1/2))^(1/2)/(-1/2*p+1/2*(p^2-4)^(1/2))^(1/2)))+1/(-2*p+2*(p^2-4)^(1/2))^(1/2)*(1+1/2*p*x^2-1/2*x^2*(p^2-4)^(1/2))^(1/2)*(1+1/2*p*x^2+1/2*x^2*(p^2-4)^(1/2))^(1/2)/(x^4+p*x^2+1)^(1/2)*EllipticF(1/2*x*(-2*p+2*(p^2-4)^(1/2))^(1/2),(-1-p*(-1/2*p-1/2*(p^2-4)^(1/2)))^(1/2))*p-1/(-2*p+2*(p^2-4)^(1/2))^(1/2)*(1+1/2*p*x^2-1/2*x^2*(p^2-4)^(1/2))^(1/2)*(1+1/2*p*x^2+1/2*x^2*(p^2-4)^(1/2))^(1/2)/(x^4+p*x^2+1)^(1/2)*EllipticF(1/2*x*(-2*p+2*(p^2-4)^(1/2))^(1/2),(-1-p*(-1/2*p-1/2*(p^2-4)^(1/2)))^(1/2))-2/(-2*p+2*(p^2-4)^(1/2))^(1/2)*(1+1/2*p*x^2-1/2*x^2*(p^2-4)^(1/2))^(1/2)*(1+1/2*p*x^2+1/2*x^2*(p^2-4)^(1/2))^(1/2)/(x^4+p*x^2+1)^(1/2)/(p+(p^2-4)^(1/2))*EllipticF(1/2*x*(-2*p+2*(p^2-4)^(1/2))^(1/2),(-1-p*(-1/2*p-1/2*(p^2-4)^(1/2)))^(1/2))+2/(-2*p+2*(p^2-4)^(1/2))^(1/2)*(1+1/2*p*x^2-1/2*x^2*(p^2-4)^(1/2))^(1/2)*(1+1/2*p*x^2+1/2*x^2*(p^2-4)^(1/2))^(1/2)/(x^4+p*x^2+1)^(1/2)/(p+(p^2-4)^(1/2))*EllipticE(1/2*x*(-2*p+2*(p^2-4)^(1/2))^(1/2),(-1-p*(-1/2*p-1/2*(p^2-4)^(1/2)))^(1/2))+1/(-1/2*p+1/2*(p^2-4)^(1/2))^(1/2)*(1+1/2*p*x^2-1/2*x^2*(p^2-4)^(1/2))^(1/2)*(1+1/2*p*x^2+1/2*x^2*(p^2-4)^(1/2))^(1/2)/(x^4+p*x^2+1)^(1/2)*EllipticPi((-1/2*p+1/2*(p^2-4)^(1/2))^(1/2)*x,-1/(-1/2*p+1/2*(p^2-4)^(1/2)),(-1/2*p-1/2*(p^2-4)^(1/2))^(1/2)/(-1/2*p+1/2*(p^2-4)^(1/2))^(1/2))-1/2*p/(-1/2*p+1/2*(p^2-4)^(1/2))^(1/2)*(1+1/2*p*x^2-1/2*x^2*(p^2-4)^(1/2))^(1/2)*(1+1/2*p*x^2+1/2*x^2*(p^2-4)^(1/2))^(1/2)/(x^4+p*x^2+1)^(1/2)*EllipticPi((-1/2*p+1/2*(p^2-4)^(1/2))^(1/2)*x,-1/(-1/2*p+1/2*(p^2-4)^(1/2)),(-1/2*p-1/2*(p^2-4)^(1/2))^(1/2)/(-1/2*p+1/2*(p^2-4)^(1/2))^(1/2))","C"
68,1,456,131,0.111000," ","int((-x^4+p*x^2+1)^(1/2)/(x^4+1),x)","-\frac{\sqrt{2}\, \sqrt{p +\sqrt{p^{2}+4}}\, p \ln \left(\frac{\sqrt{-x^{4}+p \,x^{2}+1}\, \sqrt{2}\, \sqrt{p +\sqrt{p^{2}+4}}}{x}+\frac{-x^{4}+p \,x^{2}+1}{x^{2}}+\sqrt{p^{2}+4}\right)}{32}+\frac{\sqrt{2}\, \sqrt{p +\sqrt{p^{2}+4}}\, p \ln \left(\frac{\sqrt{-x^{4}+p \,x^{2}+1}\, \sqrt{2}\, \sqrt{p +\sqrt{p^{2}+4}}}{x}-\frac{-x^{4}+p \,x^{2}+1}{x^{2}}-\sqrt{p^{2}+4}\right)}{32}+\frac{\sqrt{2}\, \arctan \left(\frac{-\frac{2 \sqrt{-x^{4}+p \,x^{2}+1}\, \sqrt{2}}{x}+2 \sqrt{p +\sqrt{p^{2}+4}}}{2 \sqrt{-p +\sqrt{p^{2}+4}}}\right)}{4 \sqrt{-p +\sqrt{p^{2}+4}}}-\frac{\sqrt{2}\, \arctan \left(\frac{\frac{2 \sqrt{-x^{4}+p \,x^{2}+1}\, \sqrt{2}}{x}+2 \sqrt{p +\sqrt{p^{2}+4}}}{2 \sqrt{-p +\sqrt{p^{2}+4}}}\right)}{4 \sqrt{-p +\sqrt{p^{2}+4}}}+\frac{\sqrt{2}\, \sqrt{p +\sqrt{p^{2}+4}}\, \sqrt{p^{2}+4}\, \ln \left(\frac{\sqrt{-x^{4}+p \,x^{2}+1}\, \sqrt{2}\, \sqrt{p +\sqrt{p^{2}+4}}}{x}+\frac{-x^{4}+p \,x^{2}+1}{x^{2}}+\sqrt{p^{2}+4}\right)}{32}-\frac{\sqrt{2}\, \sqrt{p +\sqrt{p^{2}+4}}\, \sqrt{p^{2}+4}\, \ln \left(\frac{\sqrt{-x^{4}+p \,x^{2}+1}\, \sqrt{2}\, \sqrt{p +\sqrt{p^{2}+4}}}{x}-\frac{-x^{4}+p \,x^{2}+1}{x^{2}}-\sqrt{p^{2}+4}\right)}{32}"," ",0,"1/32*2^(1/2)*(p+(p^2+4)^(1/2))^(1/2)*(p^2+4)^(1/2)*ln((-x^4+p*x^2+1)/x^2+(-x^4+p*x^2+1)^(1/2)*2^(1/2)/x*(p+(p^2+4)^(1/2))^(1/2)+(p^2+4)^(1/2))-1/4*2^(1/2)/(-p+(p^2+4)^(1/2))^(1/2)*arctan(1/2*(2*(-x^4+p*x^2+1)^(1/2)*2^(1/2)/x+2*(p+(p^2+4)^(1/2))^(1/2))/(-p+(p^2+4)^(1/2))^(1/2))-1/32*2^(1/2)*(p+(p^2+4)^(1/2))^(1/2)*p*ln((-x^4+p*x^2+1)/x^2+(-x^4+p*x^2+1)^(1/2)*2^(1/2)/x*(p+(p^2+4)^(1/2))^(1/2)+(p^2+4)^(1/2))-1/32*2^(1/2)*(p+(p^2+4)^(1/2))^(1/2)*(p^2+4)^(1/2)*ln((-x^4+p*x^2+1)^(1/2)*2^(1/2)/x*(p+(p^2+4)^(1/2))^(1/2)-(-x^4+p*x^2+1)/x^2-(p^2+4)^(1/2))+1/4*2^(1/2)/(-p+(p^2+4)^(1/2))^(1/2)*arctan(1/2*(2*(p+(p^2+4)^(1/2))^(1/2)-2*(-x^4+p*x^2+1)^(1/2)*2^(1/2)/x)/(-p+(p^2+4)^(1/2))^(1/2))+1/32*2^(1/2)*(p+(p^2+4)^(1/2))^(1/2)*p*ln((-x^4+p*x^2+1)^(1/2)*2^(1/2)/x*(p+(p^2+4)^(1/2))^(1/2)-(-x^4+p*x^2+1)/x^2-(p^2+4)^(1/2))","B"
69,0,0,62,0.135000," ","int((b*x+a)/(-x^2+2)/(x^2-1)^(1/4),x)","\int \frac{b x +a}{\left(-x^{2}+2\right) \left(x^{2}-1\right)^{\frac{1}{4}}}\, dx"," ",0,"int((b*x+a)/(-x^2+2)/(x^2-1)^(1/4),x)","F"
70,0,0,70,0.120000," ","int((b*x+a)/(-x^2-1)^(1/4)/(x^2+2),x)","\int \frac{b x +a}{\left(-x^{2}-1\right)^{\frac{1}{4}} \left(x^{2}+2\right)}\, dx"," ",0,"int((b*x+a)/(-x^2-1)^(1/4)/(x^2+2),x)","F"
71,0,0,125,0.139000," ","int((b*x+a)/(-x^2+1)^(1/4)/(-x^2+2),x)","\int \frac{b x +a}{\left(-x^{2}+1\right)^{\frac{1}{4}} \left(-x^{2}+2\right)}\, dx"," ",0,"int((b*x+a)/(-x^2+1)^(1/4)/(-x^2+2),x)","F"
72,0,0,109,0.119000," ","int((b*x+a)/(x^2+1)^(1/4)/(x^2+2),x)","\int \frac{b x +a}{\left(x^{2}+1\right)^{\frac{1}{4}} \left(x^{2}+2\right)}\, dx"," ",0,"int((b*x+a)/(x^2+1)^(1/4)/(x^2+2),x)","F"
73,1,164,92,0.186000," ","int(x/(-x^3+4)/(-x^3+1)^(1/2),x)","\frac{i \sqrt{i \left(2 x +1-i \sqrt{3}\right)}\, \sqrt{\frac{x -1}{i \sqrt{3}-3}}\, \sqrt{-\frac{i \left(2 x +1+i \sqrt{3}\right)}{2}}\, \left(-2 \RootOf \left(\textit{\_Z}^{3}-4\right)^{2}+\RootOf \left(\textit{\_Z}^{3}-4\right)+1+i \sqrt{3}\, \left(-\RootOf \left(\textit{\_Z}^{3}-4\right)+1\right)\right) \RootOf \left(\textit{\_Z}^{3}-4\right)^{2} \EllipticPi \left(\frac{\sqrt{3}\, \sqrt{i \left(x +\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}}{3}, -\frac{i \sqrt{3}\, \RootOf \left(\textit{\_Z}^{3}-4\right)^{2}}{3}+\frac{\RootOf \left(\textit{\_Z}^{3}-4\right)}{2}+\frac{i \sqrt{3}\, \RootOf \left(\textit{\_Z}^{3}-4\right)}{6}-\frac{1}{2}+\frac{i \sqrt{3}}{6}, \sqrt{\frac{i \sqrt{3}}{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\right)}{36 \sqrt{-x^{3}+1}}"," ",0,"1/36*I*2^(1/2)*sum(_alpha^2*(1/2*I*(2*x+1-I*3^(1/2)))^(1/2)*((x-1)/(I*3^(1/2)-3))^(1/2)*(-1/2*I*(2*x+1+I*3^(1/2)))^(1/2)/(-x^3+1)^(1/2)*(-2*_alpha^2+_alpha+1+I*3^(1/2)*(1-_alpha))*EllipticPi(1/3*3^(1/2)*(I*(x+1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2),1/2*_alpha-1/3*I*_alpha^2*3^(1/2)-1/2+1/6*I*_alpha*3^(1/2)+1/6*I*3^(1/2),(I*3^(1/2)/(-3/2+1/2*I*3^(1/2)))^(1/2)),_alpha=RootOf(_Z^3-4))","C"
74,1,240,110,0.219000," ","int(x/(-d*x^3+4)/(d*x^3-1)^(1/2),x)","-\frac{i \sqrt{-\frac{i \left(2 x +\frac{1}{d^{\frac{1}{3}}}+\frac{i \sqrt{3}}{d^{\frac{1}{3}}}\right) d^{\frac{1}{3}}}{2}}\, \sqrt{\frac{x -\frac{1}{d^{\frac{1}{3}}}}{-\frac{3}{d^{\frac{1}{3}}}-\frac{i \sqrt{3}}{d^{\frac{1}{3}}}}}\, \sqrt{i \left(2 x +\frac{1}{d^{\frac{1}{3}}}-\frac{i \sqrt{3}}{d^{\frac{1}{3}}}\right) d^{\frac{1}{3}}}\, \left(-2 \RootOf \left(d \,\textit{\_Z}^{3}-4\right)^{2} d +i \sqrt{3}\, \RootOf \left(d \,\textit{\_Z}^{3}-4\right) d^{\frac{2}{3}}+\RootOf \left(d \,\textit{\_Z}^{3}-4\right) d^{\frac{2}{3}}-i \sqrt{3}\, d^{\frac{1}{3}}+d^{\frac{1}{3}}\right) \EllipticPi \left(\frac{\sqrt{3}\, \sqrt{-i \left(x +\frac{1}{2 d^{\frac{1}{3}}}+\frac{i \sqrt{3}}{2 d^{\frac{1}{3}}}\right) \sqrt{3}\, d^{\frac{1}{3}}}}{3}, \frac{i \sqrt{3}\, \RootOf \left(d \,\textit{\_Z}^{3}-4\right)^{2} d^{\frac{2}{3}}}{3}-\frac{i \sqrt{3}\, \RootOf \left(d \,\textit{\_Z}^{3}-4\right) d^{\frac{1}{3}}}{6}+\frac{\RootOf \left(d \,\textit{\_Z}^{3}-4\right) d^{\frac{1}{3}}}{2}-\frac{i \sqrt{3}}{6}-\frac{1}{2}, \sqrt{-\frac{i \sqrt{3}}{\left(-\frac{3}{2 d^{\frac{1}{3}}}-\frac{i \sqrt{3}}{2 d^{\frac{1}{3}}}\right) d^{\frac{1}{3}}}}\right)}{9 \sqrt{d \,x^{3}-1}\, \RootOf \left(d \,\textit{\_Z}^{3}-4\right) d^{\frac{4}{3}}}"," ",0,"-1/9*I*2^(1/2)*sum(1/_alpha/d^(4/3)*(-1/2*I*(2*x+1/d^(1/3)+I*3^(1/2)/d^(1/3))*d^(1/3))^(1/2)*((x-1/d^(1/3))/(-3/d^(1/3)-I*3^(1/2)/d^(1/3)))^(1/2)*(1/2*I*(2*x+1/d^(1/3)-I*3^(1/2)/d^(1/3))*d^(1/3))^(1/2)/(d*x^3-1)^(1/2)*(-2*_alpha^2*d+I*3^(1/2)*_alpha*d^(2/3)+_alpha*d^(2/3)-I*3^(1/2)*d^(1/3)+d^(1/3))*EllipticPi(1/3*3^(1/2)*(-I*(x+1/2/d^(1/3)+1/2*I*3^(1/2)/d^(1/3))*3^(1/2)*d^(1/3))^(1/2),1/3*I*_alpha^2*d^(2/3)*3^(1/2)-1/6*I*_alpha*d^(1/3)*3^(1/2)+1/2*_alpha*d^(1/3)-1/6*I*3^(1/2)-1/2,(-I*3^(1/2)/d^(1/3)/(-3/2/d^(1/3)-1/2*I*3^(1/2)/d^(1/3)))^(1/2)),_alpha=RootOf(_Z^3*d-4))","C"
75,1,421,54,0.200000," ","int(x/(x^3+8)/(x^3-1)^(1/2),x)","-\frac{\left(-\frac{3}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{\frac{x -1}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x +\frac{1}{2}-\frac{i \sqrt{3}}{2}}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x +\frac{1}{2}+\frac{i \sqrt{3}}{2}}{\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \EllipticPi \left(\sqrt{\frac{x -1}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}, \frac{i \sqrt{3}}{6}+\frac{1}{2}, \sqrt{\frac{\frac{3}{2}+\frac{i \sqrt{3}}{2}}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\right)}{9 \sqrt{x^{3}-1}}-\frac{i \left(\frac{1}{2}+\frac{i \sqrt{3}}{2}\right) \left(-\frac{3}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{\frac{x -1}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x +\frac{1}{2}-\frac{i \sqrt{3}}{2}}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x +\frac{1}{2}+\frac{i \sqrt{3}}{2}}{\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \sqrt{3}\, \EllipticPi \left(\sqrt{\frac{x -1}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}, \frac{i \sqrt{3}\, \left(1-i \sqrt{3}\right)}{6}-\frac{2 i \sqrt{3}}{3}, \sqrt{\frac{\frac{3}{2}+\frac{i \sqrt{3}}{2}}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\right)}{9 \sqrt{x^{3}-1}}+\frac{i \left(\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \left(-\frac{3}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{\frac{x -1}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x +\frac{1}{2}-\frac{i \sqrt{3}}{2}}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x +\frac{1}{2}+\frac{i \sqrt{3}}{2}}{\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \sqrt{3}\, \EllipticPi \left(\sqrt{\frac{x -1}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}, \frac{i \sqrt{3}\, \left(1+i \sqrt{3}\right)}{6}+\frac{i \sqrt{3}}{3}, \sqrt{\frac{\frac{3}{2}+\frac{i \sqrt{3}}{2}}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\right)}{9 \sqrt{x^{3}-1}}"," ",0,"1/9*I*(1/2-1/2*I*3^(1/2))*(-3/2-1/2*I*3^(1/2))*((x-1)/(-3/2-1/2*I*3^(1/2)))^(1/2)*((x+1/2-1/2*I*3^(1/2))/(3/2-1/2*I*3^(1/2)))^(1/2)*((x+1/2+1/2*I*3^(1/2))/(3/2+1/2*I*3^(1/2)))^(1/2)/(x^3-1)^(1/2)*3^(1/2)*EllipticPi(((x-1)/(-3/2-1/2*I*3^(1/2)))^(1/2),1/6*I*3^(1/2)*(1+I*3^(1/2))+1/3*I*3^(1/2),((3/2+1/2*I*3^(1/2))/(3/2-1/2*I*3^(1/2)))^(1/2))-1/9*I*(1/2+1/2*I*3^(1/2))*(-3/2-1/2*I*3^(1/2))*((x-1)/(-3/2-1/2*I*3^(1/2)))^(1/2)*((x+1/2-1/2*I*3^(1/2))/(3/2-1/2*I*3^(1/2)))^(1/2)*((x+1/2+1/2*I*3^(1/2))/(3/2+1/2*I*3^(1/2)))^(1/2)/(x^3-1)^(1/2)*3^(1/2)*EllipticPi(((x-1)/(-3/2-1/2*I*3^(1/2)))^(1/2),1/6*I*3^(1/2)*(1-I*3^(1/2))-2/3*I*3^(1/2),((3/2+1/2*I*3^(1/2))/(3/2-1/2*I*3^(1/2)))^(1/2))-1/9*(-3/2-1/2*I*3^(1/2))*((x-1)/(-3/2-1/2*I*3^(1/2)))^(1/2)*((x+1/2-1/2*I*3^(1/2))/(3/2-1/2*I*3^(1/2)))^(1/2)*((x+1/2+1/2*I*3^(1/2))/(3/2+1/2*I*3^(1/2)))^(1/2)/(x^3-1)^(1/2)*EllipticPi(((x-1)/(-3/2-1/2*I*3^(1/2)))^(1/2),1/6*I*3^(1/2)+1/2,((3/2+1/2*I*3^(1/2))/(3/2-1/2*I*3^(1/2)))^(1/2))","C"
76,1,383,73,0.352000," ","int(x/(-d*x^3+8)/(d*x^3+1)^(1/2),x)","-\frac{i \left(-d^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(2 x +\frac{-i \sqrt{3}\, \left(-d^{2}\right)^{\frac{1}{3}}+\left(-d^{2}\right)^{\frac{1}{3}}}{d}\right) d}{\left(-d^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{\left(x -\frac{\left(-d^{2}\right)^{\frac{1}{3}}}{d}\right) d}{-3 \left(-d^{2}\right)^{\frac{1}{3}}+i \sqrt{3}\, \left(-d^{2}\right)^{\frac{1}{3}}}}\, \sqrt{-\frac{i \left(2 x +\frac{i \sqrt{3}\, \left(-d^{2}\right)^{\frac{1}{3}}+\left(-d^{2}\right)^{\frac{1}{3}}}{d}\right) d}{2 \left(-d^{2}\right)^{\frac{1}{3}}}}\, \left(2 \RootOf \left(d \,\textit{\_Z}^{3}-8\right)^{2} d^{2}+i \left(-d^{2}\right)^{\frac{1}{3}} \sqrt{3}\, \RootOf \left(d \,\textit{\_Z}^{3}-8\right) d -\left(-d^{2}\right)^{\frac{1}{3}} \RootOf \left(d \,\textit{\_Z}^{3}-8\right) d -i \sqrt{3}\, \left(-d^{2}\right)^{\frac{2}{3}}-\left(-d^{2}\right)^{\frac{2}{3}}\right) \EllipticPi \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-d^{2}\right)^{\frac{1}{3}}}{2 d}-\frac{i \sqrt{3}\, \left(-d^{2}\right)^{\frac{1}{3}}}{2 d}\right) \sqrt{3}\, d}{\left(-d^{2}\right)^{\frac{1}{3}}}}}{3}, -\frac{2 i \sqrt{3}\, \left(-d^{2}\right)^{\frac{1}{3}} \RootOf \left(d \,\textit{\_Z}^{3}-8\right)^{2} d -i \sqrt{3}\, \left(-d^{2}\right)^{\frac{2}{3}} \RootOf \left(d \,\textit{\_Z}^{3}-8\right)-3 \left(-d^{2}\right)^{\frac{2}{3}} \RootOf \left(d \,\textit{\_Z}^{3}-8\right)+i \sqrt{3}\, d -3 d}{18 d}, \sqrt{\frac{i \sqrt{3}\, \left(-d^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-d^{2}\right)^{\frac{1}{3}}}{2 d}+\frac{i \sqrt{3}\, \left(-d^{2}\right)^{\frac{1}{3}}}{2 d}\right) d}}\right)}{27 d^{3} \sqrt{d \,x^{3}+1}\, \RootOf \left(d \,\textit{\_Z}^{3}-8\right)}"," ",0,"-1/27*I/d^3*2^(1/2)*sum(1/_alpha*(-d^2)^(1/3)*(1/2*I*d*(2*x+1/d*(-I*3^(1/2)*(-d^2)^(1/3)+(-d^2)^(1/3)))/(-d^2)^(1/3))^(1/2)*(d*(x-1/d*(-d^2)^(1/3))/(-3*(-d^2)^(1/3)+I*3^(1/2)*(-d^2)^(1/3)))^(1/2)*(-1/2*I*d*(2*x+1/d*(I*3^(1/2)*(-d^2)^(1/3)+(-d^2)^(1/3)))/(-d^2)^(1/3))^(1/2)/(d*x^3+1)^(1/2)*(I*(-d^2)^(1/3)*_alpha*3^(1/2)*d-I*3^(1/2)*(-d^2)^(2/3)+2*_alpha^2*d^2-(-d^2)^(1/3)*_alpha*d-(-d^2)^(2/3))*EllipticPi(1/3*3^(1/2)*(I*(x+1/2/d*(-d^2)^(1/3)-1/2*I*3^(1/2)/d*(-d^2)^(1/3))*3^(1/2)*d/(-d^2)^(1/3))^(1/2),-1/18/d*(2*I*3^(1/2)*(-d^2)^(1/3)*_alpha^2*d-I*3^(1/2)*(-d^2)^(2/3)*_alpha+I*3^(1/2)*d-3*(-d^2)^(2/3)*_alpha-3*d),(I*3^(1/2)/d*(-d^2)^(1/3)/(-3/2/d*(-d^2)^(1/3)+1/2*I*3^(1/2)/d*(-d^2)^(1/3)))^(1/2)),_alpha=RootOf(_Z^3*d-8))","C"
77,1,538,62,10.056000," ","int(1/(-3*x^2+1)^(1/3)/(-x^2+3),x)","-\RootOf \left(48 \textit{\_Z}^{2}+4 \textit{\_Z} \RootOf \left(\textit{\_Z}^{2}-3\right)+1\right) \ln \left(\frac{-3 x^{2}+48 \left(-3 x^{2}+1\right)^{\frac{1}{3}} x \RootOf \left(48 \textit{\_Z}^{2}+4 \textit{\_Z} \RootOf \left(\textit{\_Z}^{2}-3\right)+1\right)+96 x \RootOf \left(48 \textit{\_Z}^{2}+4 \textit{\_Z} \RootOf \left(\textit{\_Z}^{2}-3\right)+1\right)+2 \left(-3 x^{2}+1\right)^{\frac{1}{3}} x \RootOf \left(\textit{\_Z}^{2}-3\right)+4 x \RootOf \left(\textit{\_Z}^{2}-3\right)+6 \left(-3 x^{2}+1\right)^{\frac{2}{3}}+6 \left(-3 x^{2}+1\right)^{\frac{1}{3}}-3}{x^{2}-3}\right)-\frac{\RootOf \left(\textit{\_Z}^{2}-3\right) \ln \left(\frac{-3 x^{2}+48 \left(-3 x^{2}+1\right)^{\frac{1}{3}} x \RootOf \left(48 \textit{\_Z}^{2}+4 \textit{\_Z} \RootOf \left(\textit{\_Z}^{2}-3\right)+1\right)+96 x \RootOf \left(48 \textit{\_Z}^{2}+4 \textit{\_Z} \RootOf \left(\textit{\_Z}^{2}-3\right)+1\right)+2 \left(-3 x^{2}+1\right)^{\frac{1}{3}} x \RootOf \left(\textit{\_Z}^{2}-3\right)+4 x \RootOf \left(\textit{\_Z}^{2}-3\right)+6 \left(-3 x^{2}+1\right)^{\frac{2}{3}}+6 \left(-3 x^{2}+1\right)^{\frac{1}{3}}-3}{x^{2}-3}\right)}{12}-\frac{\RootOf \left(\textit{\_Z}^{2}-3\right) \ln \left(\frac{12 x^{2} \RootOf \left(48 \textit{\_Z}^{2}+4 \textit{\_Z} \RootOf \left(\textit{\_Z}^{2}-3\right)+1\right) \RootOf \left(\textit{\_Z}^{2}-3\right)+192 \left(-3 x^{2}+1\right)^{\frac{1}{3}} x \RootOf \left(48 \textit{\_Z}^{2}+4 \textit{\_Z} \RootOf \left(\textit{\_Z}^{2}-3\right)+1\right)^{2} \RootOf \left(\textit{\_Z}^{2}-3\right)-384 x \RootOf \left(48 \textit{\_Z}^{2}+4 \textit{\_Z} \RootOf \left(\textit{\_Z}^{2}-3\right)+1\right)^{2} \RootOf \left(\textit{\_Z}^{2}-3\right)+8 \left(-3 x^{2}+1\right)^{\frac{1}{3}} x \RootOf \left(48 \textit{\_Z}^{2}+4 \textit{\_Z} \RootOf \left(\textit{\_Z}^{2}-3\right)+1\right) \RootOf \left(\textit{\_Z}^{2}-3\right)^{2}-16 x \RootOf \left(48 \textit{\_Z}^{2}+4 \textit{\_Z} \RootOf \left(\textit{\_Z}^{2}-3\right)+1\right) \RootOf \left(\textit{\_Z}^{2}-3\right)^{2}+3 x^{2}-96 x \RootOf \left(48 \textit{\_Z}^{2}+4 \textit{\_Z} \RootOf \left(\textit{\_Z}^{2}-3\right)+1\right)-4 x \RootOf \left(\textit{\_Z}^{2}-3\right)+24 \left(-3 x^{2}+1\right)^{\frac{1}{3}} \RootOf \left(48 \textit{\_Z}^{2}+4 \textit{\_Z} \RootOf \left(\textit{\_Z}^{2}-3\right)+1\right) \RootOf \left(\textit{\_Z}^{2}-3\right)+12 \RootOf \left(48 \textit{\_Z}^{2}+4 \textit{\_Z} \RootOf \left(\textit{\_Z}^{2}-3\right)+1\right) \RootOf \left(\textit{\_Z}^{2}-3\right)+6 \left(-3 x^{2}+1\right)^{\frac{2}{3}}+3}{x^{2}-3}\right)}{12}"," ",0,"-1/12*RootOf(_Z^2-3)*ln((8*(-3*x^2+1)^(1/3)*RootOf(_Z^2-3)^2*RootOf(4*_Z*RootOf(_Z^2-3)+48*_Z^2+1)*x+192*(-3*x^2+1)^(1/3)*RootOf(_Z^2-3)*RootOf(4*_Z*RootOf(_Z^2-3)+48*_Z^2+1)^2*x-16*RootOf(_Z^2-3)^2*RootOf(4*_Z*RootOf(_Z^2-3)+48*_Z^2+1)*x-384*RootOf(_Z^2-3)*RootOf(4*_Z*RootOf(_Z^2-3)+48*_Z^2+1)^2*x+12*RootOf(4*_Z*RootOf(_Z^2-3)+48*_Z^2+1)*RootOf(_Z^2-3)*x^2+24*(-3*x^2+1)^(1/3)*RootOf(4*_Z*RootOf(_Z^2-3)+48*_Z^2+1)*RootOf(_Z^2-3)+12*RootOf(4*_Z*RootOf(_Z^2-3)+48*_Z^2+1)*RootOf(_Z^2-3)-4*RootOf(_Z^2-3)*x-96*RootOf(4*_Z*RootOf(_Z^2-3)+48*_Z^2+1)*x+6*(-3*x^2+1)^(2/3)+3*x^2+3)/(x^2-3))-1/12*ln((2*(-3*x^2+1)^(1/3)*RootOf(_Z^2-3)*x+48*(-3*x^2+1)^(1/3)*RootOf(4*_Z*RootOf(_Z^2-3)+48*_Z^2+1)*x+4*RootOf(_Z^2-3)*x+96*RootOf(4*_Z*RootOf(_Z^2-3)+48*_Z^2+1)*x+6*(-3*x^2+1)^(2/3)-3*x^2+6*(-3*x^2+1)^(1/3)-3)/(x^2-3))*RootOf(_Z^2-3)-ln((2*(-3*x^2+1)^(1/3)*RootOf(_Z^2-3)*x+48*(-3*x^2+1)^(1/3)*RootOf(4*_Z*RootOf(_Z^2-3)+48*_Z^2+1)*x+4*RootOf(_Z^2-3)*x+96*RootOf(4*_Z*RootOf(_Z^2-3)+48*_Z^2+1)*x+6*(-3*x^2+1)^(2/3)-3*x^2+6*(-3*x^2+1)^(1/3)-3)/(x^2-3))*RootOf(4*_Z*RootOf(_Z^2-3)+48*_Z^2+1)","C"
78,1,444,62,2.458000," ","int(1/(x^2+3)/(3*x^2+1)^(1/3),x)","\RootOf \left(48 \textit{\_Z}^{2}+12 \textit{\_Z} +1\right) \ln \left(\frac{-12 x^{2} \RootOf \left(48 \textit{\_Z}^{2}+12 \textit{\_Z} +1\right)-x^{2}+24 \left(3 x^{2}+1\right)^{\frac{1}{3}} x \RootOf \left(48 \textit{\_Z}^{2}+12 \textit{\_Z} +1\right)-48 x \RootOf \left(48 \textit{\_Z}^{2}+12 \textit{\_Z} +1\right)+4 \left(3 x^{2}+1\right)^{\frac{1}{3}} x -4 x +24 \left(3 x^{2}+1\right)^{\frac{1}{3}} \RootOf \left(48 \textit{\_Z}^{2}+12 \textit{\_Z} +1\right)+12 \RootOf \left(48 \textit{\_Z}^{2}+12 \textit{\_Z} +1\right)-2 \left(3 x^{2}+1\right)^{\frac{2}{3}}+4 \left(3 x^{2}+1\right)^{\frac{1}{3}}+1}{x^{2}+3}\right)-\RootOf \left(48 \textit{\_Z}^{2}+12 \textit{\_Z} +1\right) \ln \left(-\frac{-6 x^{2} \RootOf \left(48 \textit{\_Z}^{2}+12 \textit{\_Z} +1\right)-x^{2}+12 \left(3 x^{2}+1\right)^{\frac{1}{3}} x \RootOf \left(48 \textit{\_Z}^{2}+12 \textit{\_Z} +1\right)-24 x \RootOf \left(48 \textit{\_Z}^{2}+12 \textit{\_Z} +1\right)+\left(3 x^{2}+1\right)^{\frac{1}{3}} x -4 x +12 \left(3 x^{2}+1\right)^{\frac{1}{3}} \RootOf \left(48 \textit{\_Z}^{2}+12 \textit{\_Z} +1\right)+6 \RootOf \left(48 \textit{\_Z}^{2}+12 \textit{\_Z} +1\right)+\left(3 x^{2}+1\right)^{\frac{2}{3}}+\left(3 x^{2}+1\right)^{\frac{1}{3}}+1}{x^{2}+3}\right)-\frac{\ln \left(-\frac{-6 x^{2} \RootOf \left(48 \textit{\_Z}^{2}+12 \textit{\_Z} +1\right)-x^{2}+12 \left(3 x^{2}+1\right)^{\frac{1}{3}} x \RootOf \left(48 \textit{\_Z}^{2}+12 \textit{\_Z} +1\right)-24 x \RootOf \left(48 \textit{\_Z}^{2}+12 \textit{\_Z} +1\right)+\left(3 x^{2}+1\right)^{\frac{1}{3}} x -4 x +12 \left(3 x^{2}+1\right)^{\frac{1}{3}} \RootOf \left(48 \textit{\_Z}^{2}+12 \textit{\_Z} +1\right)+6 \RootOf \left(48 \textit{\_Z}^{2}+12 \textit{\_Z} +1\right)+\left(3 x^{2}+1\right)^{\frac{2}{3}}+\left(3 x^{2}+1\right)^{\frac{1}{3}}+1}{x^{2}+3}\right)}{4}"," ",0,"-1/4*ln(-(12*RootOf(48*_Z^2+12*_Z+1)*(3*x^2+1)^(1/3)*x-6*RootOf(48*_Z^2+12*_Z+1)*x^2+12*RootOf(48*_Z^2+12*_Z+1)*(3*x^2+1)^(1/3)-24*RootOf(48*_Z^2+12*_Z+1)*x+(3*x^2+1)^(2/3)+(3*x^2+1)^(1/3)*x-x^2+6*RootOf(48*_Z^2+12*_Z+1)+(3*x^2+1)^(1/3)-4*x+1)/(x^2+3))-ln(-(12*RootOf(48*_Z^2+12*_Z+1)*(3*x^2+1)^(1/3)*x-6*RootOf(48*_Z^2+12*_Z+1)*x^2+12*RootOf(48*_Z^2+12*_Z+1)*(3*x^2+1)^(1/3)-24*RootOf(48*_Z^2+12*_Z+1)*x+(3*x^2+1)^(2/3)+(3*x^2+1)^(1/3)*x-x^2+6*RootOf(48*_Z^2+12*_Z+1)+(3*x^2+1)^(1/3)-4*x+1)/(x^2+3))*RootOf(48*_Z^2+12*_Z+1)+RootOf(48*_Z^2+12*_Z+1)*ln((24*RootOf(48*_Z^2+12*_Z+1)*(3*x^2+1)^(1/3)*x-12*RootOf(48*_Z^2+12*_Z+1)*x^2+24*RootOf(48*_Z^2+12*_Z+1)*(3*x^2+1)^(1/3)-48*RootOf(48*_Z^2+12*_Z+1)*x-2*(3*x^2+1)^(2/3)+4*(3*x^2+1)^(1/3)*x-x^2+12*RootOf(48*_Z^2+12*_Z+1)+4*(3*x^2+1)^(1/3)-4*x+1)/(x^2+3))","C"
79,1,704,81,50.764000," ","int(1/(-x^2+1)^(1/3)/(x^2+3),x)","-\frac{\RootOf \left(\textit{\_Z}^{6}+108\right)^{4} \ln \left(\frac{-x^{6} \RootOf \left(\textit{\_Z}^{6}+108\right)^{4}-6 \left(-x^{2}+1\right)^{\frac{1}{3}} x^{5} \RootOf \left(\textit{\_Z}^{6}+108\right)^{5}+72 x^{5} \RootOf \left(\textit{\_Z}^{6}+108\right)^{4}+108 \left(-x^{2}+1\right)^{\frac{1}{3}} x^{4} \RootOf \left(\textit{\_Z}^{6}+108\right)^{5}-225 x^{4} \RootOf \left(\textit{\_Z}^{6}+108\right)^{4}-144 \left(-x^{2}+1\right)^{\frac{1}{3}} x^{3} \RootOf \left(\textit{\_Z}^{6}+108\right)^{5}+18 x^{6} \RootOf \left(\textit{\_Z}^{6}+108\right)+36 \left(-x^{2}+1\right)^{\frac{1}{3}} x^{5} \RootOf \left(\textit{\_Z}^{6}+108\right)^{2}-72 x^{3} \RootOf \left(\textit{\_Z}^{6}+108\right)^{4}-108 \left(-x^{2}+1\right)^{\frac{1}{3}} x^{2} \RootOf \left(\textit{\_Z}^{6}+108\right)^{5}-1296 x^{5} \RootOf \left(\textit{\_Z}^{6}+108\right)-648 \left(-x^{2}+1\right)^{\frac{1}{3}} x^{4} \RootOf \left(\textit{\_Z}^{6}+108\right)^{2}+189 x^{2} \RootOf \left(\textit{\_Z}^{6}+108\right)^{4}+54 \left(-x^{2}+1\right)^{\frac{1}{3}} x \RootOf \left(\textit{\_Z}^{6}+108\right)^{5}+4050 x^{4} \RootOf \left(\textit{\_Z}^{6}+108\right)+864 \left(-x^{2}+1\right)^{\frac{1}{3}} x^{3} \RootOf \left(\textit{\_Z}^{6}+108\right)^{2}+1296 \left(-x^{2}+1\right)^{\frac{2}{3}} x^{4}+1296 x^{3} \RootOf \left(\textit{\_Z}^{6}+108\right)+648 \left(-x^{2}+1\right)^{\frac{1}{3}} x^{2} \RootOf \left(\textit{\_Z}^{6}+108\right)^{2}-27 \RootOf \left(\textit{\_Z}^{6}+108\right)^{4}-9072 \left(-x^{2}+1\right)^{\frac{2}{3}} x^{3}-3402 x^{2} \RootOf \left(\textit{\_Z}^{6}+108\right)-324 \left(-x^{2}+1\right)^{\frac{1}{3}} x \RootOf \left(\textit{\_Z}^{6}+108\right)^{2}+3888 \left(-x^{2}+1\right)^{\frac{2}{3}} x^{2}+3888 \left(-x^{2}+1\right)^{\frac{2}{3}} x +486 \RootOf \left(\textit{\_Z}^{6}+108\right)}{\left(x^{2}+3\right)^{3}}\right)}{216}+\frac{\RootOf \left(\textit{\_Z}^{6}+108\right)^{4} \ln \left(\frac{-x^{3} \RootOf \left(\textit{\_Z}^{6}+108\right)^{4}-2 \left(-x^{2}+1\right)^{\frac{1}{3}} x^{2} \RootOf \left(\textit{\_Z}^{6}+108\right)^{5}-3 x \RootOf \left(\textit{\_Z}^{6}+108\right)^{4}-126 x^{2} \RootOf \left(\textit{\_Z}^{6}+108\right)-36 \left(-x^{2}+1\right)^{\frac{1}{3}} x \RootOf \left(\textit{\_Z}^{6}+108\right)^{2}+216 \left(-x^{2}+1\right)^{\frac{2}{3}} x +54 \RootOf \left(\textit{\_Z}^{6}+108\right)}{\left(x \RootOf \left(\textit{\_Z}^{6}+108\right)^{3}-18\right)^{2} \left(x \RootOf \left(\textit{\_Z}^{6}+108\right)^{3}+18\right)}\right)}{144}+\frac{\RootOf \left(\textit{\_Z}^{6}+108\right) \ln \left(\frac{-x^{3} \RootOf \left(\textit{\_Z}^{6}+108\right)^{4}-2 \left(-x^{2}+1\right)^{\frac{1}{3}} x^{2} \RootOf \left(\textit{\_Z}^{6}+108\right)^{5}-3 x \RootOf \left(\textit{\_Z}^{6}+108\right)^{4}-126 x^{2} \RootOf \left(\textit{\_Z}^{6}+108\right)-36 \left(-x^{2}+1\right)^{\frac{1}{3}} x \RootOf \left(\textit{\_Z}^{6}+108\right)^{2}+216 \left(-x^{2}+1\right)^{\frac{2}{3}} x +54 \RootOf \left(\textit{\_Z}^{6}+108\right)}{\left(x \RootOf \left(\textit{\_Z}^{6}+108\right)^{3}-18\right)^{2} \left(x \RootOf \left(\textit{\_Z}^{6}+108\right)^{3}+18\right)}\right)}{24}"," ",0,"1/144*ln((-2*RootOf(_Z^6+108)^5*(-x^2+1)^(1/3)*x^2-RootOf(_Z^6+108)^4*x^3-3*RootOf(_Z^6+108)^4*x-36*RootOf(_Z^6+108)^2*(-x^2+1)^(1/3)*x+216*(-x^2+1)^(2/3)*x-126*RootOf(_Z^6+108)*x^2+54*RootOf(_Z^6+108))/(RootOf(_Z^6+108)^3*x-18)^2/(RootOf(_Z^6+108)^3*x+18))*RootOf(_Z^6+108)^4+1/24*ln((-2*RootOf(_Z^6+108)^5*(-x^2+1)^(1/3)*x^2-RootOf(_Z^6+108)^4*x^3-3*RootOf(_Z^6+108)^4*x-36*RootOf(_Z^6+108)^2*(-x^2+1)^(1/3)*x+216*(-x^2+1)^(2/3)*x-126*RootOf(_Z^6+108)*x^2+54*RootOf(_Z^6+108))/(RootOf(_Z^6+108)^3*x-18)^2/(RootOf(_Z^6+108)^3*x+18))*RootOf(_Z^6+108)-1/216*RootOf(_Z^6+108)^4*ln((-RootOf(_Z^6+108)^4*x^6-225*RootOf(_Z^6+108)^4*x^4+72*x^5*RootOf(_Z^6+108)^4-1296*x^5*RootOf(_Z^6+108)+486*RootOf(_Z^6+108)+189*RootOf(_Z^6+108)^4*x^2-3402*RootOf(_Z^6+108)*x^2+4050*RootOf(_Z^6+108)*x^4-72*RootOf(_Z^6+108)^4*x^3+1296*RootOf(_Z^6+108)*x^3-27*RootOf(_Z^6+108)^4-108*RootOf(_Z^6+108)^5*(-x^2+1)^(1/3)*x^2-324*RootOf(_Z^6+108)^2*(-x^2+1)^(1/3)*x-6*RootOf(_Z^6+108)^5*(-x^2+1)^(1/3)*x^5+108*RootOf(_Z^6+108)^5*(-x^2+1)^(1/3)*x^4-144*RootOf(_Z^6+108)^5*(-x^2+1)^(1/3)*x^3+36*RootOf(_Z^6+108)^2*(-x^2+1)^(1/3)*x^5+54*RootOf(_Z^6+108)^5*(-x^2+1)^(1/3)*x-648*RootOf(_Z^6+108)^2*(-x^2+1)^(1/3)*x^4+864*RootOf(_Z^6+108)^2*(-x^2+1)^(1/3)*x^3+648*RootOf(_Z^6+108)^2*(-x^2+1)^(1/3)*x^2+3888*(-x^2+1)^(2/3)*x+1296*(-x^2+1)^(2/3)*x^4-9072*(-x^2+1)^(2/3)*x^3+3888*(-x^2+1)^(2/3)*x^2+18*RootOf(_Z^6+108)*x^6)/(x^2+3)^3)","C"
80,-1,0,77,180.000000," ","int(1/(-x^2+3)/(x^2+1)^(1/3),x)","\int \frac{1}{\left(-x^{2}+3\right) \left(x^{2}+1\right)^{\frac{1}{3}}}\, dx"," ",0,"int(1/(-x^2+3)/(x^2+1)^(1/3),x)","F"
81,1,206,77,0.041000," ","int((a+x)/(-a+x)/(a^2*x-(a^2+1)*x^2+x^3)^(1/2),x)","-\frac{4 \sqrt{-\frac{-a^{2}+x}{a^{2}}}\, \sqrt{\frac{x -1}{a^{2}-1}}\, \sqrt{\frac{x}{a^{2}}}\, a^{3} \EllipticPi \left(\sqrt{-\frac{-a^{2}+x}{a^{2}}}, \frac{a^{2}}{a^{2}-a}, \sqrt{\frac{a^{2}}{a^{2}-1}}\right)}{\sqrt{-a^{2} x^{2}+a^{2} x +x^{3}-x^{2}}\, \left(a^{2}-a \right)}-\frac{2 \sqrt{-\frac{-a^{2}+x}{a^{2}}}\, \sqrt{\frac{x -1}{a^{2}-1}}\, \sqrt{\frac{x}{a^{2}}}\, a^{2} \EllipticF \left(\sqrt{-\frac{-a^{2}+x}{a^{2}}}, \sqrt{\frac{a^{2}}{a^{2}-1}}\right)}{\sqrt{-a^{2} x^{2}+a^{2} x +x^{3}-x^{2}}}"," ",0,"-2*a^2*(-(-a^2+x)/a^2)^(1/2)*((x-1)/(a^2-1))^(1/2)*(x/a^2)^(1/2)/(-a^2*x^2+a^2*x+x^3-x^2)^(1/2)*EllipticF((-(-a^2+x)/a^2)^(1/2),(a^2/(a^2-1))^(1/2))-4*a^3*(-(-a^2+x)/a^2)^(1/2)*((x-1)/(a^2-1))^(1/2)*(x/a^2)^(1/2)/(-a^2*x^2+a^2*x+x^3-x^2)^(1/2)/(a^2-a)*EllipticPi((-(-a^2+x)/a^2)^(1/2),a^2/(a^2-a),(a^2/(a^2-1))^(1/2))","C"
82,1,317,1,0.049000," ","int((-2+a+x)/(-a+x)/((2-a)*a*x+(a^2-2*a-1)*x^2+x^3)^(1/2),x)","\frac{2 \left(a^{2}-2 a \right) \sqrt{\frac{a^{2}-2 a +x}{a^{2}-2 a}}\, \sqrt{\frac{x -1}{-a^{2}+2 a -1}}\, \sqrt{\frac{x}{-a^{2}+2 a}}\, \EllipticF \left(\sqrt{\frac{a^{2}-2 a +x}{a^{2}-2 a}}, \sqrt{\frac{-a^{2}+2 a}{-a^{2}+2 a -1}}\right)}{\sqrt{a^{2} x^{2}-a^{2} x -2 a \,x^{2}+x^{3}+2 a x -x^{2}}}+\frac{2 \left(2 a -2\right) \left(a^{2}-2 a \right) \sqrt{\frac{a^{2}-2 a +x}{a^{2}-2 a}}\, \sqrt{\frac{x -1}{-a^{2}+2 a -1}}\, \sqrt{\frac{x}{-a^{2}+2 a}}\, \EllipticPi \left(\sqrt{\frac{a^{2}-2 a +x}{a^{2}-2 a}}, \frac{-a^{2}+2 a}{-a^{2}+a}, \sqrt{\frac{-a^{2}+2 a}{-a^{2}+2 a -1}}\right)}{\sqrt{a^{2} x^{2}-a^{2} x -2 a \,x^{2}+x^{3}+2 a x -x^{2}}\, \left(-a^{2}+a \right)}"," ",0,"2*(a^2-2*a)*((a^2-2*a+x)/(a^2-2*a))^(1/2)*((x-1)/(-a^2+2*a-1))^(1/2)*(x/(-a^2+2*a))^(1/2)/(a^2*x^2-a^2*x-2*a*x^2+x^3+2*a*x-x^2)^(1/2)*EllipticF(((a^2-2*a+x)/(a^2-2*a))^(1/2),((-a^2+2*a)/(-a^2+2*a-1))^(1/2))+2*(2*a-2)*(a^2-2*a)*((a^2-2*a+x)/(a^2-2*a))^(1/2)*((x-1)/(-a^2+2*a-1))^(1/2)*(x/(-a^2+2*a))^(1/2)/(a^2*x^2-a^2*x-2*a*x^2+x^3+2*a*x-x^2)^(1/2)/(-a^2+a)*EllipticPi(((a^2-2*a+x)/(a^2-2*a))^(1/2),(-a^2+2*a)/(-a^2+a),((-a^2+2*a)/(-a^2+2*a-1))^(1/2))","C"
83,1,536,45,0.059000," ","int((-a+(-1+2*a)*x)/(-a+x)/(a^2*x-(a^2+2*a-1)*x^2+(-1+2*a)*x^3)^(1/2),x)","-\frac{4 \sqrt{-\frac{\left(-\frac{a^{2}}{2 a -1}+x \right) \left(2 a -1\right)}{a^{2}}}\, \sqrt{\frac{x -1}{\frac{a^{2}}{2 a -1}-1}}\, \sqrt{\frac{\left(2 a -1\right) x}{a^{2}}}\, a^{3} \EllipticF \left(\sqrt{-\frac{\left(-\frac{a^{2}}{2 a -1}+x \right) \left(2 a -1\right)}{a^{2}}}, \sqrt{\frac{a^{2}}{\left(2 a -1\right) \left(\frac{a^{2}}{2 a -1}-1\right)}}\right)}{\left(2 a -1\right) \sqrt{-a^{2} x^{2}+2 a \,x^{3}+a^{2} x -2 a \,x^{2}-x^{3}+x^{2}}}-\frac{4 \left(a -1\right) \sqrt{-\frac{\left(-\frac{a^{2}}{2 a -1}+x \right) \left(2 a -1\right)}{a^{2}}}\, \sqrt{\frac{x -1}{\frac{a^{2}}{2 a -1}-1}}\, \sqrt{\frac{\left(2 a -1\right) x}{a^{2}}}\, a^{3} \EllipticPi \left(\sqrt{-\frac{\left(-\frac{a^{2}}{2 a -1}+x \right) \left(2 a -1\right)}{a^{2}}}, \frac{a^{2}}{\left(2 a -1\right) \left(\frac{a^{2}}{2 a -1}-a \right)}, \sqrt{\frac{a^{2}}{\left(2 a -1\right) \left(\frac{a^{2}}{2 a -1}-1\right)}}\right)}{\left(2 a -1\right) \sqrt{-a^{2} x^{2}+2 a \,x^{3}+a^{2} x -2 a \,x^{2}-x^{3}+x^{2}}\, \left(\frac{a^{2}}{2 a -1}-a \right)}+\frac{2 \sqrt{-\frac{\left(-\frac{a^{2}}{2 a -1}+x \right) \left(2 a -1\right)}{a^{2}}}\, \sqrt{\frac{x -1}{\frac{a^{2}}{2 a -1}-1}}\, \sqrt{\frac{\left(2 a -1\right) x}{a^{2}}}\, a^{2} \EllipticF \left(\sqrt{-\frac{\left(-\frac{a^{2}}{2 a -1}+x \right) \left(2 a -1\right)}{a^{2}}}, \sqrt{\frac{a^{2}}{\left(2 a -1\right) \left(\frac{a^{2}}{2 a -1}-1\right)}}\right)}{\left(2 a -1\right) \sqrt{-a^{2} x^{2}+2 a \,x^{3}+a^{2} x -2 a \,x^{2}-x^{3}+x^{2}}}"," ",0,"2*a^2/(-1+2*a)*(-(x-a^2/(-1+2*a))/a^2*(-1+2*a))^(1/2)*((x-1)/(a^2/(-1+2*a)-1))^(1/2)*(x/a^2*(-1+2*a))^(1/2)/(-a^2*x^2+2*a*x^3+a^2*x-2*a*x^2-x^3+x^2)^(1/2)*EllipticF((-(x-a^2/(-1+2*a))/a^2*(-1+2*a))^(1/2),(a^2/(-1+2*a)/(a^2/(-1+2*a)-1))^(1/2))-4*a^3/(-1+2*a)*(-(x-a^2/(-1+2*a))/a^2*(-1+2*a))^(1/2)*((x-1)/(a^2/(-1+2*a)-1))^(1/2)*(x/a^2*(-1+2*a))^(1/2)/(-a^2*x^2+2*a*x^3+a^2*x-2*a*x^2-x^3+x^2)^(1/2)*EllipticF((-(x-a^2/(-1+2*a))/a^2*(-1+2*a))^(1/2),(a^2/(-1+2*a)/(a^2/(-1+2*a)-1))^(1/2))-4*a^3*(a-1)/(-1+2*a)*(-(x-a^2/(-1+2*a))/a^2*(-1+2*a))^(1/2)*((x-1)/(a^2/(-1+2*a)-1))^(1/2)*(x/a^2*(-1+2*a))^(1/2)/(-a^2*x^2+2*a*x^3+a^2*x-2*a*x^2-x^3+x^2)^(1/2)/(a^2/(-1+2*a)-a)*EllipticPi((-(x-a^2/(-1+2*a))/a^2*(-1+2*a))^(1/2),a^2/(-1+2*a)/(a^2/(-1+2*a)-a),(a^2/(-1+2*a)/(a^2/(-1+2*a)-1))^(1/2))","C"
84,1,258,24,0.122000," ","int((1-2^(1/3)*x)/(2^(2/3)+x)/(x^3+1)^(1/2),x)","-\frac{2 \,2^{\frac{1}{3}} \left(\frac{3}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{\frac{x +1}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x -\frac{1}{2}-\frac{i \sqrt{3}}{2}}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x -\frac{1}{2}+\frac{i \sqrt{3}}{2}}{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \EllipticF \left(\sqrt{\frac{x +1}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}, \sqrt{\frac{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\right)}{\sqrt{x^{3}+1}}+\frac{6 \left(\frac{3}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{\frac{x +1}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x -\frac{1}{2}-\frac{i \sqrt{3}}{2}}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x -\frac{1}{2}+\frac{i \sqrt{3}}{2}}{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \EllipticPi \left(\sqrt{\frac{x +1}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}, \frac{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}{2^{\frac{2}{3}}-1}, \sqrt{\frac{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\right)}{\sqrt{x^{3}+1}\, \left(2^{\frac{2}{3}}-1\right)}"," ",0,"-2*2^(1/3)*(3/2-1/2*I*3^(1/2))*((x+1)/(3/2-1/2*I*3^(1/2)))^(1/2)*((x-1/2-1/2*I*3^(1/2))/(-3/2-1/2*I*3^(1/2)))^(1/2)*((x-1/2+1/2*I*3^(1/2))/(-3/2+1/2*I*3^(1/2)))^(1/2)/(x^3+1)^(1/2)*EllipticF(((x+1)/(3/2-1/2*I*3^(1/2)))^(1/2),((-3/2+1/2*I*3^(1/2))/(-3/2-1/2*I*3^(1/2)))^(1/2))+6*(3/2-1/2*I*3^(1/2))*((x+1)/(3/2-1/2*I*3^(1/2)))^(1/2)*((x-1/2-1/2*I*3^(1/2))/(-3/2-1/2*I*3^(1/2)))^(1/2)*((x-1/2+1/2*I*3^(1/2))/(-3/2+1/2*I*3^(1/2)))^(1/2)/(x^3+1)^(1/2)/(2^(2/3)-1)*EllipticPi(((x+1)/(3/2-1/2*I*3^(1/2)))^(1/2),(-3/2+1/2*I*3^(1/2))/(2^(2/3)-1),((-3/2+1/2*I*3^(1/2))/(-3/2-1/2*I*3^(1/2)))^(1/2))","C"
85,1,240,17,0.110000," ","int((x+1)/(x-2)/(x^3+1)^(1/2),x)","\frac{2 \left(\frac{3}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{\frac{x +1}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x -\frac{1}{2}-\frac{i \sqrt{3}}{2}}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x -\frac{1}{2}+\frac{i \sqrt{3}}{2}}{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \EllipticF \left(\sqrt{\frac{x +1}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}, \sqrt{\frac{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\right)}{\sqrt{x^{3}+1}}-\frac{2 \left(\frac{3}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{\frac{x +1}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x -\frac{1}{2}-\frac{i \sqrt{3}}{2}}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x -\frac{1}{2}+\frac{i \sqrt{3}}{2}}{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \EllipticPi \left(\sqrt{\frac{x +1}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}, -\frac{i \sqrt{3}}{6}+\frac{1}{2}, \sqrt{\frac{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\right)}{\sqrt{x^{3}+1}}"," ",0,"2*(3/2-1/2*I*3^(1/2))*((x+1)/(3/2-1/2*I*3^(1/2)))^(1/2)*((x-1/2-1/2*I*3^(1/2))/(-3/2-1/2*I*3^(1/2)))^(1/2)*((x-1/2+1/2*I*3^(1/2))/(-3/2+1/2*I*3^(1/2)))^(1/2)/(x^3+1)^(1/2)*EllipticF(((x+1)/(3/2-1/2*I*3^(1/2)))^(1/2),((-3/2+1/2*I*3^(1/2))/(-3/2-1/2*I*3^(1/2)))^(1/2))-2*(3/2-1/2*I*3^(1/2))*((x+1)/(3/2-1/2*I*3^(1/2)))^(1/2)*((x-1/2-1/2*I*3^(1/2))/(-3/2-1/2*I*3^(1/2)))^(1/2)*((x-1/2+1/2*I*3^(1/2))/(-3/2+1/2*I*3^(1/2)))^(1/2)/(x^3+1)^(1/2)*EllipticPi(((x+1)/(3/2-1/2*I*3^(1/2)))^(1/2),-1/6*I*3^(1/2)+1/2,((-3/2+1/2*I*3^(1/2))/(-3/2-1/2*I*3^(1/2)))^(1/2))","C"
86,1,353,158,0.285000," ","int(x/(10+x^3+6*3^(1/2))/(x^3+1)^(1/2),x)","\frac{\left(-1-\sqrt{3}\right) \left(\frac{3}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{\frac{x +1}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x -\frac{1}{2}-\frac{i \sqrt{3}}{2}}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x -\frac{1}{2}+\frac{i \sqrt{3}}{2}}{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \sqrt{3}\, \EllipticPi \left(\sqrt{\frac{x +1}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}, \frac{\left(-\frac{3}{2}+\frac{i \sqrt{3}}{2}\right) \sqrt{3}}{3}, \sqrt{\frac{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\right)}{9 \left(2+\sqrt{3}\right) \sqrt{x^{3}+1}}-\frac{\sqrt{2}\, \left(-\sqrt{3}\, \RootOf \left(\textit{\_Z}^{2}+\left(-1-\sqrt{3}\right) \textit{\_Z} +2 \sqrt{3}+4\right)+\RootOf \left(\textit{\_Z}^{2}+\left(-1-\sqrt{3}\right) \textit{\_Z} +2 \sqrt{3}+4\right)-2\right) \left(-i \sqrt{3}+3\right) \sqrt{\frac{x +1}{-i \sqrt{3}+3}}\, \sqrt{\frac{2 x -1-i \sqrt{3}}{-i \sqrt{3}-3}}\, \sqrt{\frac{2 x -1+i \sqrt{3}}{i \sqrt{3}-3}}\, \left(2 \RootOf \left(\textit{\_Z}^{2}+\left(-1-\sqrt{3}\right) \textit{\_Z} +2 \sqrt{3}+4\right)-\sqrt{3}\, \RootOf \left(\textit{\_Z}^{2}+\left(-1-\sqrt{3}\right) \textit{\_Z} +2 \sqrt{3}+4\right)-1\right) \EllipticPi \left(\sqrt{\frac{x +1}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}, -\frac{i \RootOf \left(\textit{\_Z}^{2}+\left(-1-\sqrt{3}\right) \textit{\_Z} +2 \sqrt{3}+4\right)}{2}+\frac{i \sqrt{3}\, \RootOf \left(\textit{\_Z}^{2}+\left(-1-\sqrt{3}\right) \textit{\_Z} +2 \sqrt{3}+4\right)}{3}+\frac{\sqrt{3}\, \RootOf \left(\textit{\_Z}^{2}+\left(-1-\sqrt{3}\right) \textit{\_Z} +2 \sqrt{3}+4\right)}{2}-\RootOf \left(\textit{\_Z}^{2}+\left(-1-\sqrt{3}\right) \textit{\_Z} +2 \sqrt{3}+4\right)-\frac{i \sqrt{3}}{6}+\frac{1}{2}, \sqrt{\frac{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\right)}{18 \left(2 \RootOf \left(\textit{\_Z}^{2}+\left(-1-\sqrt{3}\right) \textit{\_Z} +2 \sqrt{3}+4\right)-\sqrt{3}-1\right) \sqrt{x^{3}+1}}"," ",0,"-1/18*2^(1/2)*sum((-3^(1/2)*_alpha+_alpha-2)/(-3^(1/2)+2*_alpha-1)*(-I*3^(1/2)+3)*((x+1)/(-I*3^(1/2)+3))^(1/2)*((2*x-1-I*3^(1/2))/(-I*3^(1/2)-3))^(1/2)*((2*x-1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2)/(x^3+1)^(1/2)*(-1+2*_alpha-3^(1/2)*_alpha)*EllipticPi(((x+1)/(3/2-1/2*I*3^(1/2)))^(1/2),-1/2*I*_alpha+1/3*I*_alpha*3^(1/2)+1/2*3^(1/2)*_alpha-_alpha-1/6*I*3^(1/2)+1/2,((-3/2+1/2*I*3^(1/2))/(-3/2-1/2*I*3^(1/2)))^(1/2)),_alpha=RootOf(_Z^2+(-1-3^(1/2))*_Z+2*3^(1/2)+4))+1/9*(-1-3^(1/2))/(2+3^(1/2))*(3/2-1/2*I*3^(1/2))*((x+1)/(3/2-1/2*I*3^(1/2)))^(1/2)*((x-1/2-1/2*I*3^(1/2))/(-3/2-1/2*I*3^(1/2)))^(1/2)*((x-1/2+1/2*I*3^(1/2))/(-3/2+1/2*I*3^(1/2)))^(1/2)/(x^3+1)^(1/2)*3^(1/2)*EllipticPi(((x+1)/(3/2-1/2*I*3^(1/2)))^(1/2),1/3*(-3/2+1/2*I*3^(1/2))*3^(1/2),((-3/2+1/2*I*3^(1/2))/(-3/2-1/2*I*3^(1/2)))^(1/2))","C"
87,1,350,150,0.263000," ","int(x/(10+x^3-6*3^(1/2))/(x^3+1)^(1/2),x)","\frac{\left(\sqrt{3}-1\right) \left(\frac{3}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{\frac{x +1}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x -\frac{1}{2}-\frac{i \sqrt{3}}{2}}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x -\frac{1}{2}+\frac{i \sqrt{3}}{2}}{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \sqrt{3}\, \EllipticPi \left(\sqrt{\frac{x +1}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}, -\frac{\left(-\frac{3}{2}+\frac{i \sqrt{3}}{2}\right) \sqrt{3}}{3}, \sqrt{\frac{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\right)}{9 \left(-2+\sqrt{3}\right) \sqrt{x^{3}+1}}-\frac{\sqrt{2}\, \left(-\sqrt{3}\, \RootOf \left(\textit{\_Z}^{2}+\left(\sqrt{3}-1\right) \textit{\_Z} -2 \sqrt{3}+4\right)-\RootOf \left(\textit{\_Z}^{2}+\left(\sqrt{3}-1\right) \textit{\_Z} -2 \sqrt{3}+4\right)+2\right) \left(-i \sqrt{3}+3\right) \sqrt{\frac{x +1}{-i \sqrt{3}+3}}\, \sqrt{\frac{2 x -1-i \sqrt{3}}{-i \sqrt{3}-3}}\, \sqrt{\frac{2 x -1+i \sqrt{3}}{i \sqrt{3}-3}}\, \left(2 \RootOf \left(\textit{\_Z}^{2}+\left(\sqrt{3}-1\right) \textit{\_Z} -2 \sqrt{3}+4\right)+\sqrt{3}\, \RootOf \left(\textit{\_Z}^{2}+\left(\sqrt{3}-1\right) \textit{\_Z} -2 \sqrt{3}+4\right)-1\right) \EllipticPi \left(\sqrt{\frac{x +1}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}, \frac{i \RootOf \left(\textit{\_Z}^{2}+\left(\sqrt{3}-1\right) \textit{\_Z} -2 \sqrt{3}+4\right)}{2}+\frac{i \sqrt{3}\, \RootOf \left(\textit{\_Z}^{2}+\left(\sqrt{3}-1\right) \textit{\_Z} -2 \sqrt{3}+4\right)}{3}-\frac{\sqrt{3}\, \RootOf \left(\textit{\_Z}^{2}+\left(\sqrt{3}-1\right) \textit{\_Z} -2 \sqrt{3}+4\right)}{2}-\RootOf \left(\textit{\_Z}^{2}+\left(\sqrt{3}-1\right) \textit{\_Z} -2 \sqrt{3}+4\right)-\frac{i \sqrt{3}}{6}+\frac{1}{2}, \sqrt{\frac{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\right)}{18 \left(-2 \RootOf \left(\textit{\_Z}^{2}+\left(\sqrt{3}-1\right) \textit{\_Z} -2 \sqrt{3}+4\right)-\sqrt{3}+1\right) \sqrt{x^{3}+1}}"," ",0,"-1/18*2^(1/2)*sum((-3^(1/2)*_alpha-_alpha+2)/(-3^(1/2)-2*_alpha+1)*(-I*3^(1/2)+3)*((x+1)/(-I*3^(1/2)+3))^(1/2)*((2*x-1-I*3^(1/2))/(-I*3^(1/2)-3))^(1/2)*((2*x-1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2)/(x^3+1)^(1/2)*(-1+2*_alpha+3^(1/2)*_alpha)*EllipticPi(((x+1)/(3/2-1/2*I*3^(1/2)))^(1/2),1/2*I*_alpha+1/3*I*3^(1/2)*_alpha-1/2*3^(1/2)*_alpha-_alpha-1/6*I*3^(1/2)+1/2,((-3/2+1/2*I*3^(1/2))/(-3/2-1/2*I*3^(1/2)))^(1/2)),_alpha=RootOf(_Z^2+(3^(1/2)-1)*_Z-2*3^(1/2)+4))+1/9*(3^(1/2)-1)/(-2+3^(1/2))*(3/2-1/2*I*3^(1/2))*((x+1)/(3/2-1/2*I*3^(1/2)))^(1/2)*((x-1/2-1/2*I*3^(1/2))/(-3/2-1/2*I*3^(1/2)))^(1/2)*((x-1/2+1/2*I*3^(1/2))/(-3/2+1/2*I*3^(1/2)))^(1/2)/(x^3+1)^(1/2)*3^(1/2)*EllipticPi(((x+1)/(3/2-1/2*I*3^(1/2)))^(1/2),-1/3*(-3/2+1/2*I*3^(1/2))*3^(1/2),((-3/2+1/2*I*3^(1/2))/(-3/2-1/2*I*3^(1/2)))^(1/2))","C"
88,1,349,162,0.271000," ","int(x/(-10+x^3-6*3^(1/2))/(x^3-1)^(1/2),x)","\frac{\left(-1-\sqrt{3}\right) \left(-\frac{3}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{\frac{x -1}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x +\frac{1}{2}-\frac{i \sqrt{3}}{2}}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x +\frac{1}{2}+\frac{i \sqrt{3}}{2}}{\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \sqrt{3}\, \EllipticPi \left(\sqrt{\frac{x -1}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}, -\frac{\left(\frac{3}{2}+\frac{i \sqrt{3}}{2}\right) \sqrt{3}}{3}, \sqrt{\frac{\frac{3}{2}+\frac{i \sqrt{3}}{2}}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\right)}{9 \left(2+\sqrt{3}\right) \sqrt{x^{3}-1}}-\frac{\sqrt{2}\, \left(-\sqrt{3}\, \RootOf \left(\textit{\_Z}^{2}+\left(1+\sqrt{3}\right) \textit{\_Z} +2 \sqrt{3}+4\right)+\RootOf \left(\textit{\_Z}^{2}+\left(1+\sqrt{3}\right) \textit{\_Z} +2 \sqrt{3}+4\right)+2\right) \left(-i \sqrt{3}-3\right) \sqrt{\frac{x -1}{-i \sqrt{3}-3}}\, \sqrt{\frac{2 x +1-i \sqrt{3}}{-i \sqrt{3}+3}}\, \sqrt{\frac{2 x +1+i \sqrt{3}}{i \sqrt{3}+3}}\, \left(2 \RootOf \left(\textit{\_Z}^{2}+\left(1+\sqrt{3}\right) \textit{\_Z} +2 \sqrt{3}+4\right)-\sqrt{3}\, \RootOf \left(\textit{\_Z}^{2}+\left(1+\sqrt{3}\right) \textit{\_Z} +2 \sqrt{3}+4\right)+1\right) \EllipticPi \left(\sqrt{\frac{x -1}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}, \frac{i \sqrt{3}\, \RootOf \left(\textit{\_Z}^{2}+\left(1+\sqrt{3}\right) \textit{\_Z} +2 \sqrt{3}+4\right)}{3}-\frac{\sqrt{3}\, \RootOf \left(\textit{\_Z}^{2}+\left(1+\sqrt{3}\right) \textit{\_Z} +2 \sqrt{3}+4\right)}{2}-\frac{i \RootOf \left(\textit{\_Z}^{2}+\left(1+\sqrt{3}\right) \textit{\_Z} +2 \sqrt{3}+4\right)}{2}+\RootOf \left(\textit{\_Z}^{2}+\left(1+\sqrt{3}\right) \textit{\_Z} +2 \sqrt{3}+4\right)+\frac{i \sqrt{3}}{6}+\frac{1}{2}, \sqrt{\frac{\frac{3}{2}+\frac{i \sqrt{3}}{2}}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\right)}{18 \left(-2 \RootOf \left(\textit{\_Z}^{2}+\left(1+\sqrt{3}\right) \textit{\_Z} +2 \sqrt{3}+4\right)-\sqrt{3}-1\right) \sqrt{x^{3}-1}}"," ",0,"1/9*(-1-3^(1/2))/(2+3^(1/2))*(-3/2-1/2*I*3^(1/2))*((x-1)/(-3/2-1/2*I*3^(1/2)))^(1/2)*((x+1/2-1/2*I*3^(1/2))/(3/2-1/2*I*3^(1/2)))^(1/2)*((x+1/2+1/2*I*3^(1/2))/(3/2+1/2*I*3^(1/2)))^(1/2)/(x^3-1)^(1/2)*3^(1/2)*EllipticPi(((x-1)/(-3/2-1/2*I*3^(1/2)))^(1/2),-1/3*(3/2+1/2*I*3^(1/2))*3^(1/2),((3/2+1/2*I*3^(1/2))/(3/2-1/2*I*3^(1/2)))^(1/2))-1/18*2^(1/2)*sum((-3^(1/2)*_alpha+_alpha+2)/(-3^(1/2)-2*_alpha-1)*(-I*3^(1/2)-3)*((x-1)/(-I*3^(1/2)-3))^(1/2)*((2*x+1-I*3^(1/2))/(-I*3^(1/2)+3))^(1/2)*((2*x+1+I*3^(1/2))/(I*3^(1/2)+3))^(1/2)/(x^3-1)^(1/2)*(1+2*_alpha-3^(1/2)*_alpha)*EllipticPi(((x-1)/(-3/2-1/2*I*3^(1/2)))^(1/2),1/3*I*3^(1/2)*_alpha-1/2*3^(1/2)*_alpha-1/2*I*_alpha+_alpha+1/6*I*3^(1/2)+1/2,((3/2+1/2*I*3^(1/2))/(3/2-1/2*I*3^(1/2)))^(1/2)),_alpha=RootOf(_Z^2+(1+3^(1/2))*_Z+2*3^(1/2)+4))","C"
89,1,350,154,0.259000," ","int(x/(-10+x^3+6*3^(1/2))/(x^3-1)^(1/2),x)","\frac{\left(\sqrt{3}-1\right) \left(-\frac{3}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{\frac{x -1}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x +\frac{1}{2}-\frac{i \sqrt{3}}{2}}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x +\frac{1}{2}+\frac{i \sqrt{3}}{2}}{\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \sqrt{3}\, \EllipticPi \left(\sqrt{\frac{x -1}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}, \frac{\left(\frac{3}{2}+\frac{i \sqrt{3}}{2}\right) \sqrt{3}}{3}, \sqrt{\frac{\frac{3}{2}+\frac{i \sqrt{3}}{2}}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\right)}{9 \left(-2+\sqrt{3}\right) \sqrt{x^{3}-1}}-\frac{\sqrt{2}\, \left(-\sqrt{3}\, \RootOf \left(\textit{\_Z}^{2}+\left(1-\sqrt{3}\right) \textit{\_Z} -2 \sqrt{3}+4\right)-\RootOf \left(\textit{\_Z}^{2}+\left(1-\sqrt{3}\right) \textit{\_Z} -2 \sqrt{3}+4\right)-2\right) \left(-i \sqrt{3}-3\right) \sqrt{\frac{x -1}{-i \sqrt{3}-3}}\, \sqrt{\frac{2 x +1-i \sqrt{3}}{-i \sqrt{3}+3}}\, \sqrt{\frac{2 x +1+i \sqrt{3}}{i \sqrt{3}+3}}\, \left(2 \RootOf \left(\textit{\_Z}^{2}+\left(1-\sqrt{3}\right) \textit{\_Z} -2 \sqrt{3}+4\right)+\sqrt{3}\, \RootOf \left(\textit{\_Z}^{2}+\left(1-\sqrt{3}\right) \textit{\_Z} -2 \sqrt{3}+4\right)+1\right) \EllipticPi \left(\sqrt{\frac{x -1}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}, \frac{i \RootOf \left(\textit{\_Z}^{2}+\left(1-\sqrt{3}\right) \textit{\_Z} -2 \sqrt{3}+4\right)}{2}+\frac{i \sqrt{3}\, \RootOf \left(\textit{\_Z}^{2}+\left(1-\sqrt{3}\right) \textit{\_Z} -2 \sqrt{3}+4\right)}{3}+\frac{\sqrt{3}\, \RootOf \left(\textit{\_Z}^{2}+\left(1-\sqrt{3}\right) \textit{\_Z} -2 \sqrt{3}+4\right)}{2}+\RootOf \left(\textit{\_Z}^{2}+\left(1-\sqrt{3}\right) \textit{\_Z} -2 \sqrt{3}+4\right)+\frac{i \sqrt{3}}{6}+\frac{1}{2}, \sqrt{\frac{\frac{3}{2}+\frac{i \sqrt{3}}{2}}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\right)}{18 \left(2 \RootOf \left(\textit{\_Z}^{2}+\left(1-\sqrt{3}\right) \textit{\_Z} -2 \sqrt{3}+4\right)-\sqrt{3}+1\right) \sqrt{x^{3}-1}}"," ",0,"-1/18*2^(1/2)*sum((-3^(1/2)*_alpha-_alpha-2)/(-3^(1/2)+2*_alpha+1)*(-I*3^(1/2)-3)*((x-1)/(-I*3^(1/2)-3))^(1/2)*((2*x+1-I*3^(1/2))/(-I*3^(1/2)+3))^(1/2)*((2*x+1+I*3^(1/2))/(I*3^(1/2)+3))^(1/2)/(x^3-1)^(1/2)*(1+2*_alpha+3^(1/2)*_alpha)*EllipticPi(((x-1)/(-3/2-1/2*I*3^(1/2)))^(1/2),1/2*I*_alpha+1/3*I*3^(1/2)*_alpha+1/2*3^(1/2)*_alpha+_alpha+1/6*I*3^(1/2)+1/2,((3/2+1/2*I*3^(1/2))/(3/2-1/2*I*3^(1/2)))^(1/2)),_alpha=RootOf(_Z^2+(1-3^(1/2))*_Z-2*3^(1/2)+4))+1/9*(3^(1/2)-1)/(-2+3^(1/2))*(-3/2-1/2*I*3^(1/2))*((x-1)/(-3/2-1/2*I*3^(1/2)))^(1/2)*((x+1/2-1/2*I*3^(1/2))/(3/2-1/2*I*3^(1/2)))^(1/2)*((x+1/2+1/2*I*3^(1/2))/(3/2+1/2*I*3^(1/2)))^(1/2)/(x^3-1)^(1/2)*3^(1/2)*EllipticPi(((x-1)/(-3/2-1/2*I*3^(1/2)))^(1/2),1/3*(3/2+1/2*I*3^(1/2))*3^(1/2),((3/2+1/2*I*3^(1/2))/(3/2-1/2*I*3^(1/2)))^(1/2))","C"
90,1,327,47,0.161000," ","int((1+x-3^(1/2))/(1+x+3^(1/2))/(-4+x^4+4*3^(1/2)*x^2)^(1/2),x)","\frac{\sqrt{-\left(-1+\frac{\sqrt{3}}{2}\right) x^{2}+1}\, \sqrt{-\left(1+\frac{\sqrt{3}}{2}\right) x^{2}+1}\, \EllipticF \left(\left(\frac{i \sqrt{3}}{2}-\frac{i}{2}\right) x , i \sqrt{1+4 \sqrt{3}\, \left(1+\frac{\sqrt{3}}{2}\right)}\right)}{\left(\frac{i \sqrt{3}}{2}-\frac{i}{2}\right) \sqrt{x^{4}+4 \sqrt{3}\, x^{2}-4}}-2 \sqrt{3}\, \left(-\frac{\sqrt{-\left(-1+\frac{\sqrt{3}}{2}\right) x^{2}+1}\, \sqrt{-\left(1+\frac{\sqrt{3}}{2}\right) x^{2}+1}\, \EllipticPi \left(\sqrt{-1+\frac{\sqrt{3}}{2}}\, x , \frac{1}{\left(-1+\frac{\sqrt{3}}{2}\right) \left(-1-\sqrt{3}\right)^{2}}, \frac{\sqrt{1+\frac{\sqrt{3}}{2}}}{\sqrt{-1+\frac{\sqrt{3}}{2}}}\right)}{\sqrt{-1+\frac{\sqrt{3}}{2}}\, \left(-1-\sqrt{3}\right) \sqrt{x^{4}+4 \sqrt{3}\, x^{2}-4}}-\frac{\arctanh \left(\frac{4 \sqrt{3}\, x^{2}+2 \left(-1-\sqrt{3}\right)^{2} x^{2}+4 \sqrt{3}\, \left(-1-\sqrt{3}\right)^{2}-8}{2 \sqrt{\left(-1-\sqrt{3}\right)^{4}+4 \sqrt{3}\, \left(-1-\sqrt{3}\right)^{2}-4}\, \sqrt{x^{4}+4 \sqrt{3}\, x^{2}-4}}\right)}{2 \sqrt{\left(-1-\sqrt{3}\right)^{4}+4 \sqrt{3}\, \left(-1-\sqrt{3}\right)^{2}-4}}\right)"," ",0,"1/(1/2*I*3^(1/2)-1/2*I)*(1-(-1+1/2*3^(1/2))*x^2)^(1/2)*(1-(1+1/2*3^(1/2))*x^2)^(1/2)/(-4+x^4+4*3^(1/2)*x^2)^(1/2)*EllipticF(x*(1/2*I*3^(1/2)-1/2*I),I*(1+4*3^(1/2)*(1+1/2*3^(1/2)))^(1/2))-2*3^(1/2)*(-1/2/((-1-3^(1/2))^4+4*3^(1/2)*(-1-3^(1/2))^2-4)^(1/2)*arctanh(1/2*(4*3^(1/2)*(-1-3^(1/2))^2-8+4*3^(1/2)*x^2+2*x^2*(-1-3^(1/2))^2)/((-1-3^(1/2))^4+4*3^(1/2)*(-1-3^(1/2))^2-4)^(1/2)/(-4+x^4+4*3^(1/2)*x^2)^(1/2))-1/(-1+1/2*3^(1/2))^(1/2)/(-1-3^(1/2))*(1-(-1+1/2*3^(1/2))*x^2)^(1/2)*(1-(1+1/2*3^(1/2))*x^2)^(1/2)/(-4+x^4+4*3^(1/2)*x^2)^(1/2)*EllipticPi((-1+1/2*3^(1/2))^(1/2)*x,1/(-1+1/2*3^(1/2))/(-1-3^(1/2))^2,(1+1/2*3^(1/2))^(1/2)/(-1+1/2*3^(1/2))^(1/2)))","C"
91,1,311,45,0.158000," ","int((1+x+3^(1/2))/(1+x-3^(1/2))/(-4+x^4-4*3^(1/2)*x^2)^(1/2),x)","\frac{\sqrt{-\left(-1-\frac{\sqrt{3}}{2}\right) x^{2}+1}\, \sqrt{-\left(1-\frac{\sqrt{3}}{2}\right) x^{2}+1}\, \EllipticF \left(\left(\frac{i}{2}+\frac{i \sqrt{3}}{2}\right) x , i \sqrt{1-4 \sqrt{3}\, \left(1-\frac{\sqrt{3}}{2}\right)}\right)}{\left(\frac{i}{2}+\frac{i \sqrt{3}}{2}\right) \sqrt{x^{4}-4 \sqrt{3}\, x^{2}-4}}+2 \sqrt{3}\, \left(-\frac{\sqrt{-\left(-1-\frac{\sqrt{3}}{2}\right) x^{2}+1}\, \sqrt{-\left(1-\frac{\sqrt{3}}{2}\right) x^{2}+1}\, \EllipticPi \left(\sqrt{-1-\frac{\sqrt{3}}{2}}\, x , \frac{1}{\left(-1-\frac{\sqrt{3}}{2}\right) \left(\sqrt{3}-1\right)^{2}}, \frac{\sqrt{1-\frac{\sqrt{3}}{2}}}{\sqrt{-1-\frac{\sqrt{3}}{2}}}\right)}{\sqrt{-1-\frac{\sqrt{3}}{2}}\, \left(\sqrt{3}-1\right) \sqrt{x^{4}-4 \sqrt{3}\, x^{2}-4}}-\frac{\arctanh \left(\frac{-4 \sqrt{3}\, x^{2}+2 \left(\sqrt{3}-1\right)^{2} x^{2}-4 \sqrt{3}\, \left(\sqrt{3}-1\right)^{2}-8}{2 \sqrt{\left(\sqrt{3}-1\right)^{4}-4 \sqrt{3}\, \left(\sqrt{3}-1\right)^{2}-4}\, \sqrt{x^{4}-4 \sqrt{3}\, x^{2}-4}}\right)}{2 \sqrt{\left(\sqrt{3}-1\right)^{4}-4 \sqrt{3}\, \left(\sqrt{3}-1\right)^{2}-4}}\right)"," ",0,"1/(1/2*I+1/2*I*3^(1/2))*(1-(-1-1/2*3^(1/2))*x^2)^(1/2)*(1-(1-1/2*3^(1/2))*x^2)^(1/2)/(-4+x^4-4*3^(1/2)*x^2)^(1/2)*EllipticF(x*(1/2*I+1/2*I*3^(1/2)),I*(1-4*3^(1/2)*(1-1/2*3^(1/2)))^(1/2))+2*3^(1/2)*(-1/2/((3^(1/2)-1)^4-4*3^(1/2)*(3^(1/2)-1)^2-4)^(1/2)*arctanh(1/2*(-4*3^(1/2)*(3^(1/2)-1)^2-8-4*3^(1/2)*x^2+2*x^2*(3^(1/2)-1)^2)/((3^(1/2)-1)^4-4*3^(1/2)*(3^(1/2)-1)^2-4)^(1/2)/(-4+x^4-4*3^(1/2)*x^2)^(1/2))-1/(-1-1/2*3^(1/2))^(1/2)/(3^(1/2)-1)*(1-(-1-1/2*3^(1/2))*x^2)^(1/2)*(1-(1-1/2*3^(1/2))*x^2)^(1/2)/(-4+x^4-4*3^(1/2)*x^2)^(1/2)*EllipticPi((-1-1/2*3^(1/2))^(1/2)*x,1/(-1-1/2*3^(1/2))/(3^(1/2)-1)^2,(1-1/2*3^(1/2))^(1/2)/(-1-1/2*3^(1/2))^(1/2)))","C"
92,1,818,44,2.997000," ","int((x-1)/(x+1)/(x^3+2)^(1/3),x)","-\RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right) \ln \left(-\frac{1239 x^{3} \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)^{2}-5743 x^{3} \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)-2478 x^{2} \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)^{2}+6078 x^{3}-4504 \left(x^{3}+2\right)^{\frac{1}{3}} x^{2} \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)-5860 x^{2} \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)-4956 x \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)^{2}+4839 \left(x^{3}+2\right)^{\frac{1}{3}} x^{2}+16208 x^{2}-4504 \left(x^{3}+2\right)^{\frac{2}{3}} x \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)-18016 \left(x^{3}+2\right)^{\frac{1}{3}} x \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)-11720 x \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)+4839 \left(x^{3}+2\right)^{\frac{2}{3}} x +19356 \left(x^{3}+2\right)^{\frac{1}{3}} x +32416 x -9008 \left(x^{3}+2\right)^{\frac{2}{3}} \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)-18016 \left(x^{3}+2\right)^{\frac{1}{3}} \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)-17346 \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)+9678 \left(x^{3}+2\right)^{\frac{2}{3}}+19356 \left(x^{3}+2\right)^{\frac{1}{3}}+28364}{\left(x +1\right)^{2}}\right)+\RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right) \ln \left(-\frac{1239 x^{3} \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)^{2}+3265 x^{3} \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)-2478 x^{2} \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)^{2}+1574 x^{3}+4504 \left(x^{3}+2\right)^{\frac{1}{3}} x^{2} \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)+10816 x^{2} \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)-4956 x \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)^{2}+335 \left(x^{3}+2\right)^{\frac{1}{3}} x^{2}+7870 x^{2}+4504 \left(x^{3}+2\right)^{\frac{2}{3}} x \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)+18016 \left(x^{3}+2\right)^{\frac{1}{3}} x \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)+21632 x \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)+335 \left(x^{3}+2\right)^{\frac{2}{3}} x +1340 \left(x^{3}+2\right)^{\frac{1}{3}} x +15740 x +9008 \left(x^{3}+2\right)^{\frac{2}{3}} \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)+18016 \left(x^{3}+2\right)^{\frac{1}{3}} \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)+17346 \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)+670 \left(x^{3}+2\right)^{\frac{2}{3}}+1340 \left(x^{3}+2\right)^{\frac{1}{3}}+11018}{\left(x +1\right)^{2}}\right)+\ln \left(-\frac{1239 x^{3} \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)^{2}-5743 x^{3} \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)-2478 x^{2} \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)^{2}+6078 x^{3}-4504 \left(x^{3}+2\right)^{\frac{1}{3}} x^{2} \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)-5860 x^{2} \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)-4956 x \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)^{2}+4839 \left(x^{3}+2\right)^{\frac{1}{3}} x^{2}+16208 x^{2}-4504 \left(x^{3}+2\right)^{\frac{2}{3}} x \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)-18016 \left(x^{3}+2\right)^{\frac{1}{3}} x \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)-11720 x \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)+4839 \left(x^{3}+2\right)^{\frac{2}{3}} x +19356 \left(x^{3}+2\right)^{\frac{1}{3}} x +32416 x -9008 \left(x^{3}+2\right)^{\frac{2}{3}} \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)-18016 \left(x^{3}+2\right)^{\frac{1}{3}} \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)-17346 \RootOf \left(\textit{\_Z}^{2}-\textit{\_Z} +1\right)+9678 \left(x^{3}+2\right)^{\frac{2}{3}}+19356 \left(x^{3}+2\right)^{\frac{1}{3}}+28364}{\left(x +1\right)^{2}}\right)"," ",0,"RootOf(_Z^2-_Z+1)*ln(-(1239*RootOf(_Z^2-_Z+1)^2*x^3-2478*RootOf(_Z^2-_Z+1)^2*x^2+4504*RootOf(_Z^2-_Z+1)*(x^3+2)^(2/3)*x+4504*RootOf(_Z^2-_Z+1)*(x^3+2)^(1/3)*x^2+3265*RootOf(_Z^2-_Z+1)*x^3-4956*RootOf(_Z^2-_Z+1)^2*x+9008*RootOf(_Z^2-_Z+1)*(x^3+2)^(2/3)+18016*RootOf(_Z^2-_Z+1)*(x^3+2)^(1/3)*x+10816*RootOf(_Z^2-_Z+1)*x^2+335*(x^3+2)^(2/3)*x+335*(x^3+2)^(1/3)*x^2+1574*x^3+18016*RootOf(_Z^2-_Z+1)*(x^3+2)^(1/3)+21632*RootOf(_Z^2-_Z+1)*x+670*(x^3+2)^(2/3)+1340*(x^3+2)^(1/3)*x+7870*x^2+17346*RootOf(_Z^2-_Z+1)+1340*(x^3+2)^(1/3)+15740*x+11018)/(x+1)^2)-ln(-(1239*RootOf(_Z^2-_Z+1)^2*x^3-2478*RootOf(_Z^2-_Z+1)^2*x^2-4504*RootOf(_Z^2-_Z+1)*(x^3+2)^(2/3)*x-4504*RootOf(_Z^2-_Z+1)*(x^3+2)^(1/3)*x^2-5743*RootOf(_Z^2-_Z+1)*x^3-4956*RootOf(_Z^2-_Z+1)^2*x-9008*RootOf(_Z^2-_Z+1)*(x^3+2)^(2/3)-18016*RootOf(_Z^2-_Z+1)*(x^3+2)^(1/3)*x-5860*RootOf(_Z^2-_Z+1)*x^2+4839*(x^3+2)^(2/3)*x+4839*(x^3+2)^(1/3)*x^2+6078*x^3-18016*RootOf(_Z^2-_Z+1)*(x^3+2)^(1/3)-11720*RootOf(_Z^2-_Z+1)*x+9678*(x^3+2)^(2/3)+19356*(x^3+2)^(1/3)*x+16208*x^2-17346*RootOf(_Z^2-_Z+1)+19356*(x^3+2)^(1/3)+32416*x+28364)/(x+1)^2)*RootOf(_Z^2-_Z+1)+ln(-(1239*RootOf(_Z^2-_Z+1)^2*x^3-2478*RootOf(_Z^2-_Z+1)^2*x^2-4504*RootOf(_Z^2-_Z+1)*(x^3+2)^(2/3)*x-4504*RootOf(_Z^2-_Z+1)*(x^3+2)^(1/3)*x^2-5743*RootOf(_Z^2-_Z+1)*x^3-4956*RootOf(_Z^2-_Z+1)^2*x-9008*RootOf(_Z^2-_Z+1)*(x^3+2)^(2/3)-18016*RootOf(_Z^2-_Z+1)*(x^3+2)^(1/3)*x-5860*RootOf(_Z^2-_Z+1)*x^2+4839*(x^3+2)^(2/3)*x+4839*(x^3+2)^(1/3)*x^2+6078*x^3-18016*RootOf(_Z^2-_Z+1)*(x^3+2)^(1/3)-11720*RootOf(_Z^2-_Z+1)*x+9678*(x^3+2)^(2/3)+19356*(x^3+2)^(1/3)*x+16208*x^2-17346*RootOf(_Z^2-_Z+1)+19356*(x^3+2)^(1/3)+32416*x+28364)/(x+1)^2)","C"
93,1,2134,84,5.820000," ","int(1/(x+1)/(x^3+2)^(1/3),x)","\text{Expression too large to display}"," ",0,"1/6*RootOf(_Z^2+_Z+1)*ln((23004340956706368*x+234055794617652*x^6+2139938693647104*x^5+802477010117664*x^4-7356039259411920*x^3+1604954020235328*x^2-938391398532049*RootOf(_Z^2+_Z+1)^2*x^6-3075400381743690*RootOf(_Z^2+_Z+1)^2*x^5-1160717687406137*RootOf(_Z^2+_Z+1)*x^6-3217341937824168*RootOf(_Z^2+_Z+1)^2*x^4-7959206999356368*RootOf(_Z^2+_Z+1)*x^2+10391133689698608*RootOf(_Z^2+_Z+1)*x-6434683875648336*RootOf(_Z^2+_Z+1)^2*x^2-4163618978360688*RootOf(_Z^2+_Z+1)^2*x-3532767618003008*x^3*RootOf(_Z^2+_Z+1)^2+12498127505504256*(x^3+2)^(1/3)+11008356238241516*RootOf(_Z^2+_Z+1)+16295099853018372*(x^3+2)^(2/3)*x-3979603499678184*RootOf(_Z^2+_Z+1)*x^4-10197714008127436*x^3*RootOf(_Z^2+_Z+1)-2832707206612248*RootOf(_Z^2+_Z+1)*x^5+10107087250606332*(x^3+2)^(2/3)+6413512798877184*(x^3+2)^(1/3)*x^2+20062783627256832*(x^3+2)^(1/3)*x+36303984101745*RootOf(_Z^2+_Z+1)^2*(x^3+2)^(2/3)*x^4+780469570084659*RootOf(_Z^2+_Z+1)^2*(x^3+2)^(1/3)*x^5-1306943427662820*RootOf(_Z^2+_Z+1)^2*(x^3+2)^(2/3)*x^3+3482095004993094*RootOf(_Z^2+_Z+1)^2*(x^3+2)^(1/3)*x^4-601904942144643*RootOf(_Z^2+_Z+1)*(x^3+2)^(2/3)*x^4+1609243886794551*RootOf(_Z^2+_Z+1)*(x^3+2)^(1/3)*x^5-3775614346581480*RootOf(_Z^2+_Z+1)^2*(x^3+2)^(2/3)*x^2+3842311729647552*RootOf(_Z^2+_Z+1)^2*(x^3+2)^(1/3)*x^3-3235955176589922*RootOf(_Z^2+_Z+1)*(x^3+2)^(2/3)*x^3+5249311303832568*RootOf(_Z^2+_Z+1)*(x^3+2)^(1/3)*x^4-2613886855325640*RootOf(_Z^2+_Z+1)^2*(x^3+2)^(2/3)*x-840505690860402*RootOf(_Z^2+_Z+1)^2*(x^3+2)^(1/3)*x^2-1442113972435308*RootOf(_Z^2+_Z+1)*(x^3+2)^(2/3)*x^2+4061647060486932*RootOf(_Z^2+_Z+1)*(x^3+2)^(1/3)*x^3-2161300347926748*RootOf(_Z^2+_Z+1)^2*(x^3+2)^(1/3)*x+7759251414704196*RootOf(_Z^2+_Z+1)*(x^3+2)^(2/3)*x+3531674097632562*RootOf(_Z^2+_Z+1)*(x^3+2)^(1/3)*x^2+11688730639030284*RootOf(_Z^2+_Z+1)*(x^3+2)^(1/3)*x-928201890361806*(x^3+2)^(2/3)*x^4+740020707562752*(x^3+2)^(1/3)*x^5-1959537324097146*(x^3+2)^(2/3)*x^3+657796184500224*(x^3+2)^(1/3)*x^4+5569211342170836*(x^3+2)^(2/3)*x^2-1644490461250560*(x^3+2)^(1/3)*x^3+7115580883942020*RootOf(_Z^2+_Z+1)*(x^3+2)^(2/3)+9125490357912936*RootOf(_Z^2+_Z+1)*(x^3+2)^(1/3)+15559137585059152)/(x+1)^6)-1/6*ln((8449588288647072*x+456382083491740*x^6+1897245518515662*x^5+1564738571971680*x^4-691092869287492*x^3+3129477143943360*x^2-938391398532049*RootOf(_Z^2+_Z+1)^2*x^6-3075400381743690*RootOf(_Z^2+_Z+1)^2*x^5-716065109657961*RootOf(_Z^2+_Z+1)*x^6-3217341937824168*RootOf(_Z^2+_Z+1)^2*x^4-4910160751940304*RootOf(_Z^2+_Z+1)*x^2-18718371646419984*RootOf(_Z^2+_Z+1)*x-6434683875648336*RootOf(_Z^2+_Z+1)^2*x^2-4163618978360688*RootOf(_Z^2+_Z+1)^2*x-3532767618003008*x^3*RootOf(_Z^2+_Z+1)^2+3372637147591320*(x^3+2)^(1/3)-11008356238241516*RootOf(_Z^2+_Z+1)+5921961582988536*(x^3+2)^(2/3)*x-2455080375970152*RootOf(_Z^2+_Z+1)*x^4+3132178772121420*x^3*RootOf(_Z^2+_Z+1)-3318093556875132*RootOf(_Z^2+_Z+1)*x^5+2991506366664312*(x^3+2)^(2/3)+2041333010384220*(x^3+2)^(1/3)*x^2+6212752640299800*(x^3+2)^(1/3)*x+36303984101745*RootOf(_Z^2+_Z+1)^2*(x^3+2)^(2/3)*x^4+780469570084659*RootOf(_Z^2+_Z+1)^2*(x^3+2)^(1/3)*x^5-1306943427662820*RootOf(_Z^2+_Z+1)^2*(x^3+2)^(2/3)*x^3+3482095004993094*RootOf(_Z^2+_Z+1)^2*(x^3+2)^(1/3)*x^4+674512910348133*RootOf(_Z^2+_Z+1)*(x^3+2)^(2/3)*x^4-48304746625233*RootOf(_Z^2+_Z+1)*(x^3+2)^(1/3)*x^5-3775614346581480*RootOf(_Z^2+_Z+1)^2*(x^3+2)^(2/3)*x^2+3842311729647552*RootOf(_Z^2+_Z+1)^2*(x^3+2)^(1/3)*x^3+622068321264282*RootOf(_Z^2+_Z+1)*(x^3+2)^(2/3)*x^3+1714878706153620*RootOf(_Z^2+_Z+1)*(x^3+2)^(1/3)*x^4-2613886855325640*RootOf(_Z^2+_Z+1)^2*(x^3+2)^(2/3)*x-840505690860402*RootOf(_Z^2+_Z+1)^2*(x^3+2)^(1/3)*x^2-6109114720727652*RootOf(_Z^2+_Z+1)*(x^3+2)^(2/3)*x^2+3622976398808172*RootOf(_Z^2+_Z+1)*(x^3+2)^(1/3)*x^3-2161300347926748*RootOf(_Z^2+_Z+1)^2*(x^3+2)^(1/3)*x-12987025125355476*RootOf(_Z^2+_Z+1)*(x^3+2)^(2/3)*x-5212685479353366*RootOf(_Z^2+_Z+1)*(x^3+2)^(1/3)*x^2-16011331334883780*RootOf(_Z^2+_Z+1)*(x^3+2)^(1/3)*x-289992964115418*(x^3+2)^(2/3)*x^4-88753609147140*(x^3+2)^(1/3)*x^5-30525575170044*(x^3+2)^(2/3)*x^3-1109420114339250*(x^3+2)^(1/3)*x^4+3235710968024664*(x^3+2)^(2/3)*x^2-1863825792089940*(x^3+2)^(1/3)*x^3-7115580883942020*RootOf(_Z^2+_Z+1)*(x^3+2)^(2/3)-9125490357912936*RootOf(_Z^2+_Z+1)*(x^3+2)^(1/3)+4550781346817636)/(x+1)^6)*RootOf(_Z^2+_Z+1)-1/6*ln((8449588288647072*x+456382083491740*x^6+1897245518515662*x^5+1564738571971680*x^4-691092869287492*x^3+3129477143943360*x^2-938391398532049*RootOf(_Z^2+_Z+1)^2*x^6-3075400381743690*RootOf(_Z^2+_Z+1)^2*x^5-716065109657961*RootOf(_Z^2+_Z+1)*x^6-3217341937824168*RootOf(_Z^2+_Z+1)^2*x^4-4910160751940304*RootOf(_Z^2+_Z+1)*x^2-18718371646419984*RootOf(_Z^2+_Z+1)*x-6434683875648336*RootOf(_Z^2+_Z+1)^2*x^2-4163618978360688*RootOf(_Z^2+_Z+1)^2*x-3532767618003008*x^3*RootOf(_Z^2+_Z+1)^2+3372637147591320*(x^3+2)^(1/3)-11008356238241516*RootOf(_Z^2+_Z+1)+5921961582988536*(x^3+2)^(2/3)*x-2455080375970152*RootOf(_Z^2+_Z+1)*x^4+3132178772121420*x^3*RootOf(_Z^2+_Z+1)-3318093556875132*RootOf(_Z^2+_Z+1)*x^5+2991506366664312*(x^3+2)^(2/3)+2041333010384220*(x^3+2)^(1/3)*x^2+6212752640299800*(x^3+2)^(1/3)*x+36303984101745*RootOf(_Z^2+_Z+1)^2*(x^3+2)^(2/3)*x^4+780469570084659*RootOf(_Z^2+_Z+1)^2*(x^3+2)^(1/3)*x^5-1306943427662820*RootOf(_Z^2+_Z+1)^2*(x^3+2)^(2/3)*x^3+3482095004993094*RootOf(_Z^2+_Z+1)^2*(x^3+2)^(1/3)*x^4+674512910348133*RootOf(_Z^2+_Z+1)*(x^3+2)^(2/3)*x^4-48304746625233*RootOf(_Z^2+_Z+1)*(x^3+2)^(1/3)*x^5-3775614346581480*RootOf(_Z^2+_Z+1)^2*(x^3+2)^(2/3)*x^2+3842311729647552*RootOf(_Z^2+_Z+1)^2*(x^3+2)^(1/3)*x^3+622068321264282*RootOf(_Z^2+_Z+1)*(x^3+2)^(2/3)*x^3+1714878706153620*RootOf(_Z^2+_Z+1)*(x^3+2)^(1/3)*x^4-2613886855325640*RootOf(_Z^2+_Z+1)^2*(x^3+2)^(2/3)*x-840505690860402*RootOf(_Z^2+_Z+1)^2*(x^3+2)^(1/3)*x^2-6109114720727652*RootOf(_Z^2+_Z+1)*(x^3+2)^(2/3)*x^2+3622976398808172*RootOf(_Z^2+_Z+1)*(x^3+2)^(1/3)*x^3-2161300347926748*RootOf(_Z^2+_Z+1)^2*(x^3+2)^(1/3)*x-12987025125355476*RootOf(_Z^2+_Z+1)*(x^3+2)^(2/3)*x-5212685479353366*RootOf(_Z^2+_Z+1)*(x^3+2)^(1/3)*x^2-16011331334883780*RootOf(_Z^2+_Z+1)*(x^3+2)^(1/3)*x-289992964115418*(x^3+2)^(2/3)*x^4-88753609147140*(x^3+2)^(1/3)*x^5-30525575170044*(x^3+2)^(2/3)*x^3-1109420114339250*(x^3+2)^(1/3)*x^4+3235710968024664*(x^3+2)^(2/3)*x^2-1863825792089940*(x^3+2)^(1/3)*x^3-7115580883942020*RootOf(_Z^2+_Z+1)*(x^3+2)^(2/3)-9125490357912936*RootOf(_Z^2+_Z+1)*(x^3+2)^(1/3)+4550781346817636)/(x+1)^6)","C"
94,0,0,78,0.134000," ","int(1/(-x^3+1)/(b*x^3+a)^(1/3),x)","\int \frac{1}{\left(-x^{3}+1\right) \left(b \,x^{3}+a \right)^{\frac{1}{3}}}\, dx"," ",0,"int(1/(-x^3+1)/(b*x^3+a)^(1/3),x)","F"
95,0,0,122,0.206000," ","int((x+1)/(x^2+x+1)/(b*x^3+a)^(1/3),x)","\int \frac{x +1}{\left(x^{2}+x +1\right) \left(b \,x^{3}+a \right)^{\frac{1}{3}}}\, dx"," ",0,"int((x+1)/(x^2+x+1)/(b*x^3+a)^(1/3),x)","F"
96,0,0,75,0.120000," ","int(x^2/(-x^3+1)/(b*x^3+a)^(1/3),x)","\int \frac{x^{2}}{\left(-x^{3}+1\right) \left(b \,x^{3}+a \right)^{\frac{1}{3}}}\, dx"," ",0,"int(x^2/(-x^3+1)/(b*x^3+a)^(1/3),x)","F"
97,1,614,67,2.416000," ","int(1/(-x^3+1)^(1/3)/(x^3+1),x)","\RootOf \left(36 \textit{\_Z}^{2}+6 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right) \ln \left(-\frac{-36 x^{3} \RootOf \left(36 \textit{\_Z}^{2}+6 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right)^{2} \RootOf \left(\textit{\_Z}^{3}-4\right)^{2}-9 x^{3} \RootOf \left(36 \textit{\_Z}^{2}+6 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right) \RootOf \left(\textit{\_Z}^{3}-4\right)^{3}+12 x^{3} \RootOf \left(36 \textit{\_Z}^{2}+6 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right)+3 x^{3} \RootOf \left(\textit{\_Z}^{3}-4\right)+30 \left(-x^{3}+1\right)^{\frac{1}{3}} x^{2} \RootOf \left(36 \textit{\_Z}^{2}+6 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right) \RootOf \left(\textit{\_Z}^{3}-4\right)+4 \left(-x^{3}+1\right)^{\frac{1}{3}} x^{2} \RootOf \left(\textit{\_Z}^{3}-4\right)^{2}+12 \left(-x^{3}+1\right)^{\frac{2}{3}} x \RootOf \left(36 \textit{\_Z}^{2}+6 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right) \RootOf \left(\textit{\_Z}^{3}-4\right)^{2}-2 \left(-x^{3}+1\right)^{\frac{2}{3}} x -12 \RootOf \left(36 \textit{\_Z}^{2}+6 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right)-3 \RootOf \left(\textit{\_Z}^{3}-4\right)}{\left(x +1\right) \left(x^{2}-x +1\right)}\right)+\frac{\RootOf \left(\textit{\_Z}^{3}-4\right) \ln \left(\frac{-27 x^{3} \RootOf \left(36 \textit{\_Z}^{2}+6 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right)^{2} \RootOf \left(\textit{\_Z}^{3}-4\right)^{2}-3 x^{3} \RootOf \left(36 \textit{\_Z}^{2}+6 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right) \RootOf \left(\textit{\_Z}^{3}-4\right)^{3}-27 x^{3} \RootOf \left(36 \textit{\_Z}^{2}+6 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right)-3 x^{3} \RootOf \left(\textit{\_Z}^{3}-4\right)-3 \left(-x^{3}+1\right)^{\frac{1}{3}} x^{2} \RootOf \left(36 \textit{\_Z}^{2}+6 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right) \RootOf \left(\textit{\_Z}^{3}-4\right)+2 \left(-x^{3}+1\right)^{\frac{1}{3}} x^{2} \RootOf \left(\textit{\_Z}^{3}-4\right)^{2}+6 \left(-x^{3}+1\right)^{\frac{2}{3}} x \RootOf \left(36 \textit{\_Z}^{2}+6 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right) \RootOf \left(\textit{\_Z}^{3}-4\right)^{2}+5 \left(-x^{3}+1\right)^{\frac{2}{3}} x +9 \RootOf \left(36 \textit{\_Z}^{2}+6 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)}{\left(x +1\right) \left(x^{2}-x +1\right)}\right)}{6}"," ",0,"1/6*RootOf(_Z^3-4)*ln((-27*RootOf(RootOf(_Z^3-4)^2+6*_Z*RootOf(_Z^3-4)+36*_Z^2)^2*RootOf(_Z^3-4)^2*x^3-3*RootOf(RootOf(_Z^3-4)^2+6*_Z*RootOf(_Z^3-4)+36*_Z^2)*RootOf(_Z^3-4)^3*x^3+6*(-x^3+1)^(2/3)*RootOf(RootOf(_Z^3-4)^2+6*_Z*RootOf(_Z^3-4)+36*_Z^2)*RootOf(_Z^3-4)^2*x-3*(-x^3+1)^(1/3)*RootOf(RootOf(_Z^3-4)^2+6*_Z*RootOf(_Z^3-4)+36*_Z^2)*RootOf(_Z^3-4)*x^2+2*(-x^3+1)^(1/3)*RootOf(_Z^3-4)^2*x^2-27*RootOf(RootOf(_Z^3-4)^2+6*_Z*RootOf(_Z^3-4)+36*_Z^2)*x^3-3*RootOf(_Z^3-4)*x^3+5*(-x^3+1)^(2/3)*x+9*RootOf(RootOf(_Z^3-4)^2+6*_Z*RootOf(_Z^3-4)+36*_Z^2)+RootOf(_Z^3-4))/(x+1)/(x^2-x+1))+RootOf(RootOf(_Z^3-4)^2+6*_Z*RootOf(_Z^3-4)+36*_Z^2)*ln(-(-36*RootOf(RootOf(_Z^3-4)^2+6*_Z*RootOf(_Z^3-4)+36*_Z^2)^2*RootOf(_Z^3-4)^2*x^3-9*RootOf(RootOf(_Z^3-4)^2+6*_Z*RootOf(_Z^3-4)+36*_Z^2)*RootOf(_Z^3-4)^3*x^3+12*(-x^3+1)^(2/3)*RootOf(RootOf(_Z^3-4)^2+6*_Z*RootOf(_Z^3-4)+36*_Z^2)*RootOf(_Z^3-4)^2*x+30*(-x^3+1)^(1/3)*RootOf(RootOf(_Z^3-4)^2+6*_Z*RootOf(_Z^3-4)+36*_Z^2)*RootOf(_Z^3-4)*x^2+4*(-x^3+1)^(1/3)*RootOf(_Z^3-4)^2*x^2+12*RootOf(RootOf(_Z^3-4)^2+6*_Z*RootOf(_Z^3-4)+36*_Z^2)*x^3+3*RootOf(_Z^3-4)*x^3-2*(-x^3+1)^(2/3)*x-12*RootOf(RootOf(_Z^3-4)^2+6*_Z*RootOf(_Z^3-4)+36*_Z^2)-3*RootOf(_Z^3-4))/(x+1)/(x^2-x+1))","C"
98,0,0,182,1.865000," ","int(x/(-x^3+1)^(1/3)/(x^3+1),x)","\int \frac{x}{\left(-x^{3}+1\right)^{\frac{1}{3}} \left(x^{3}+1\right)}\, dx"," ",0,"int(x/(-x^3+1)^(1/3)/(x^3+1),x)","F"
99,1,655,62,3.427000," ","int(x^2/(-x^3+1)^(1/3)/(x^3+1),x)","-\RootOf \left(36 \textit{\_Z}^{2}+6 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right) \ln \left(\frac{18 x^{3} \RootOf \left(36 \textit{\_Z}^{2}+6 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right)^{2} \RootOf \left(\textit{\_Z}^{3}-4\right)^{2}-12 x^{3} \RootOf \left(36 \textit{\_Z}^{2}+6 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right) \RootOf \left(\textit{\_Z}^{3}-4\right)^{3}+18 x^{3} \RootOf \left(36 \textit{\_Z}^{2}+6 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right)-12 x^{3} \RootOf \left(\textit{\_Z}^{3}-4\right)+21 \left(-x^{3}+1\right)^{\frac{1}{3}} \RootOf \left(\textit{\_Z}^{3}-4\right)^{2}-42 \RootOf \left(36 \textit{\_Z}^{2}+6 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right)+28 \RootOf \left(\textit{\_Z}^{3}-4\right)+42 \left(-x^{3}+1\right)^{\frac{2}{3}}}{\left(x +1\right) \left(x^{2}-x +1\right)}\right)+\RootOf \left(36 \textit{\_Z}^{2}+6 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right) \ln \left(\frac{18 x^{3} \RootOf \left(36 \textit{\_Z}^{2}+6 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right)^{2} \RootOf \left(\textit{\_Z}^{3}-4\right)^{2}+15 x^{3} \RootOf \left(36 \textit{\_Z}^{2}+6 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right) \RootOf \left(\textit{\_Z}^{3}-4\right)^{3}-6 x^{3} \RootOf \left(36 \textit{\_Z}^{2}+6 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right)-5 x^{3} \RootOf \left(\textit{\_Z}^{3}-4\right)+21 \left(-x^{3}+1\right)^{\frac{1}{3}} \RootOf \left(\textit{\_Z}^{3}-4\right)^{2}+42 \RootOf \left(36 \textit{\_Z}^{2}+6 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right)+35 \RootOf \left(\textit{\_Z}^{3}-4\right)+42 \left(-x^{3}+1\right)^{\frac{2}{3}}}{\left(x +1\right) \left(x^{2}-x +1\right)}\right)-\frac{\RootOf \left(\textit{\_Z}^{3}-4\right) \ln \left(\frac{18 x^{3} \RootOf \left(36 \textit{\_Z}^{2}+6 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right)^{2} \RootOf \left(\textit{\_Z}^{3}-4\right)^{2}-12 x^{3} \RootOf \left(36 \textit{\_Z}^{2}+6 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right) \RootOf \left(\textit{\_Z}^{3}-4\right)^{3}+18 x^{3} \RootOf \left(36 \textit{\_Z}^{2}+6 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right)-12 x^{3} \RootOf \left(\textit{\_Z}^{3}-4\right)+21 \left(-x^{3}+1\right)^{\frac{1}{3}} \RootOf \left(\textit{\_Z}^{3}-4\right)^{2}-42 \RootOf \left(36 \textit{\_Z}^{2}+6 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right)+28 \RootOf \left(\textit{\_Z}^{3}-4\right)+42 \left(-x^{3}+1\right)^{\frac{2}{3}}}{\left(x +1\right) \left(x^{2}-x +1\right)}\right)}{6}"," ",0,"RootOf(RootOf(_Z^3-4)^2+6*_Z*RootOf(_Z^3-4)+36*_Z^2)*ln((15*RootOf(RootOf(_Z^3-4)^2+6*_Z*RootOf(_Z^3-4)+36*_Z^2)*RootOf(_Z^3-4)^3*x^3+18*RootOf(RootOf(_Z^3-4)^2+6*_Z*RootOf(_Z^3-4)+36*_Z^2)^2*RootOf(_Z^3-4)^2*x^3-5*RootOf(_Z^3-4)*x^3-6*RootOf(RootOf(_Z^3-4)^2+6*_Z*RootOf(_Z^3-4)+36*_Z^2)*x^3+21*(-x^3+1)^(1/3)*RootOf(_Z^3-4)^2+42*(-x^3+1)^(2/3)+35*RootOf(_Z^3-4)+42*RootOf(RootOf(_Z^3-4)^2+6*_Z*RootOf(_Z^3-4)+36*_Z^2))/(x+1)/(x^2-x+1))-1/6*ln((-12*RootOf(RootOf(_Z^3-4)^2+6*_Z*RootOf(_Z^3-4)+36*_Z^2)*RootOf(_Z^3-4)^3*x^3+18*RootOf(RootOf(_Z^3-4)^2+6*_Z*RootOf(_Z^3-4)+36*_Z^2)^2*RootOf(_Z^3-4)^2*x^3-12*RootOf(_Z^3-4)*x^3+18*RootOf(RootOf(_Z^3-4)^2+6*_Z*RootOf(_Z^3-4)+36*_Z^2)*x^3+21*(-x^3+1)^(1/3)*RootOf(_Z^3-4)^2+42*(-x^3+1)^(2/3)+28*RootOf(_Z^3-4)-42*RootOf(RootOf(_Z^3-4)^2+6*_Z*RootOf(_Z^3-4)+36*_Z^2))/(x+1)/(x^2-x+1))*RootOf(_Z^3-4)-ln((-12*RootOf(RootOf(_Z^3-4)^2+6*_Z*RootOf(_Z^3-4)+36*_Z^2)*RootOf(_Z^3-4)^3*x^3+18*RootOf(RootOf(_Z^3-4)^2+6*_Z*RootOf(_Z^3-4)+36*_Z^2)^2*RootOf(_Z^3-4)^2*x^3-12*RootOf(_Z^3-4)*x^3+18*RootOf(RootOf(_Z^3-4)^2+6*_Z*RootOf(_Z^3-4)+36*_Z^2)*x^3+21*(-x^3+1)^(1/3)*RootOf(_Z^3-4)^2+42*(-x^3+1)^(2/3)+28*RootOf(_Z^3-4)-42*RootOf(RootOf(_Z^3-4)^2+6*_Z*RootOf(_Z^3-4)+36*_Z^2))/(x+1)/(x^2-x+1))*RootOf(RootOf(_Z^3-4)^2+6*_Z*RootOf(_Z^3-4)+36*_Z^2)","C"
100,1,720,109,7.804000," ","int((x+1)/(x^2-x+1)/(-x^3+1)^(1/3),x)","\RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}+4\right)+\RootOf \left(\textit{\_Z}^{3}+4\right)^{2}\right) \ln \left(\frac{x \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}+4\right)+\RootOf \left(\textit{\_Z}^{3}+4\right)^{2}\right) \RootOf \left(\textit{\_Z}^{3}+4\right)^{2}-x^{2}-2 \left(-x^{3}+1\right)^{\frac{1}{3}} x \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}+4\right)+\RootOf \left(\textit{\_Z}^{3}+4\right)^{2}\right)+\left(-x^{3}+1\right)^{\frac{2}{3}} \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}+4\right)+\RootOf \left(\textit{\_Z}^{3}+4\right)^{2}\right) \RootOf \left(\textit{\_Z}^{3}+4\right)+x +2 \left(-x^{3}+1\right)^{\frac{1}{3}} \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}+4\right)+\RootOf \left(\textit{\_Z}^{3}+4\right)^{2}\right)-1}{x^{2}-x +1}\right)-\RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}+4\right)+\RootOf \left(\textit{\_Z}^{3}+4\right)^{2}\right) \ln \left(-\frac{x \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}+4\right)+\RootOf \left(\textit{\_Z}^{3}+4\right)^{2}\right) \RootOf \left(\textit{\_Z}^{3}+4\right)^{3}+x^{2} \RootOf \left(\textit{\_Z}^{3}+4\right)-2 \left(-x^{3}+1\right)^{\frac{1}{3}} x \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}+4\right)+\RootOf \left(\textit{\_Z}^{3}+4\right)^{2}\right) \RootOf \left(\textit{\_Z}^{3}+4\right)-\left(-x^{3}+1\right)^{\frac{1}{3}} x \RootOf \left(\textit{\_Z}^{3}+4\right)^{2}+\left(-x^{3}+1\right)^{\frac{2}{3}} \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}+4\right)+\RootOf \left(\textit{\_Z}^{3}+4\right)^{2}\right) \RootOf \left(\textit{\_Z}^{3}+4\right)^{2}-3 x \RootOf \left(\textit{\_Z}^{3}+4\right)+2 \left(-x^{3}+1\right)^{\frac{1}{3}} \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}+4\right)+\RootOf \left(\textit{\_Z}^{3}+4\right)^{2}\right) \RootOf \left(\textit{\_Z}^{3}+4\right)+\left(-x^{3}+1\right)^{\frac{1}{3}} \RootOf \left(\textit{\_Z}^{3}+4\right)^{2}+\RootOf \left(\textit{\_Z}^{3}+4\right)-2 \left(-x^{3}+1\right)^{\frac{2}{3}}}{x^{2}-x +1}\right)-\frac{\RootOf \left(\textit{\_Z}^{3}+4\right) \ln \left(-\frac{x \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}+4\right)+\RootOf \left(\textit{\_Z}^{3}+4\right)^{2}\right) \RootOf \left(\textit{\_Z}^{3}+4\right)^{3}+x^{2} \RootOf \left(\textit{\_Z}^{3}+4\right)-2 \left(-x^{3}+1\right)^{\frac{1}{3}} x \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}+4\right)+\RootOf \left(\textit{\_Z}^{3}+4\right)^{2}\right) \RootOf \left(\textit{\_Z}^{3}+4\right)-\left(-x^{3}+1\right)^{\frac{1}{3}} x \RootOf \left(\textit{\_Z}^{3}+4\right)^{2}+\left(-x^{3}+1\right)^{\frac{2}{3}} \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}+4\right)+\RootOf \left(\textit{\_Z}^{3}+4\right)^{2}\right) \RootOf \left(\textit{\_Z}^{3}+4\right)^{2}-3 x \RootOf \left(\textit{\_Z}^{3}+4\right)+2 \left(-x^{3}+1\right)^{\frac{1}{3}} \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}+4\right)+\RootOf \left(\textit{\_Z}^{3}+4\right)^{2}\right) \RootOf \left(\textit{\_Z}^{3}+4\right)+\left(-x^{3}+1\right)^{\frac{1}{3}} \RootOf \left(\textit{\_Z}^{3}+4\right)^{2}+\RootOf \left(\textit{\_Z}^{3}+4\right)-2 \left(-x^{3}+1\right)^{\frac{2}{3}}}{x^{2}-x +1}\right)}{2}"," ",0,"RootOf(RootOf(_Z^3+4)^2+2*_Z*RootOf(_Z^3+4)+4*_Z^2)*ln((RootOf(RootOf(_Z^3+4)^2+2*_Z*RootOf(_Z^3+4)+4*_Z^2)*RootOf(_Z^3+4)*(-x^3+1)^(2/3)+RootOf(RootOf(_Z^3+4)^2+2*_Z*RootOf(_Z^3+4)+4*_Z^2)*RootOf(_Z^3+4)^2*x-2*RootOf(RootOf(_Z^3+4)^2+2*_Z*RootOf(_Z^3+4)+4*_Z^2)*(-x^3+1)^(1/3)*x+2*RootOf(RootOf(_Z^3+4)^2+2*_Z*RootOf(_Z^3+4)+4*_Z^2)*(-x^3+1)^(1/3)-x^2+x-1)/(x^2-x+1))-1/2*ln(-((-x^3+1)^(2/3)*RootOf(RootOf(_Z^3+4)^2+2*_Z*RootOf(_Z^3+4)+4*_Z^2)*RootOf(_Z^3+4)^2+RootOf(RootOf(_Z^3+4)^2+2*_Z*RootOf(_Z^3+4)+4*_Z^2)*RootOf(_Z^3+4)^3*x-(-x^3+1)^(1/3)*RootOf(_Z^3+4)^2*x-2*(-x^3+1)^(1/3)*RootOf(RootOf(_Z^3+4)^2+2*_Z*RootOf(_Z^3+4)+4*_Z^2)*RootOf(_Z^3+4)*x+(-x^3+1)^(1/3)*RootOf(_Z^3+4)^2+2*(-x^3+1)^(1/3)*RootOf(RootOf(_Z^3+4)^2+2*_Z*RootOf(_Z^3+4)+4*_Z^2)*RootOf(_Z^3+4)+RootOf(_Z^3+4)*x^2-2*(-x^3+1)^(2/3)-3*RootOf(_Z^3+4)*x+RootOf(_Z^3+4))/(x^2-x+1))*RootOf(_Z^3+4)-ln(-((-x^3+1)^(2/3)*RootOf(RootOf(_Z^3+4)^2+2*_Z*RootOf(_Z^3+4)+4*_Z^2)*RootOf(_Z^3+4)^2+RootOf(RootOf(_Z^3+4)^2+2*_Z*RootOf(_Z^3+4)+4*_Z^2)*RootOf(_Z^3+4)^3*x-(-x^3+1)^(1/3)*RootOf(_Z^3+4)^2*x-2*(-x^3+1)^(1/3)*RootOf(RootOf(_Z^3+4)^2+2*_Z*RootOf(_Z^3+4)+4*_Z^2)*RootOf(_Z^3+4)*x+(-x^3+1)^(1/3)*RootOf(_Z^3+4)^2+2*(-x^3+1)^(1/3)*RootOf(RootOf(_Z^3+4)^2+2*_Z*RootOf(_Z^3+4)+4*_Z^2)*RootOf(_Z^3+4)+RootOf(_Z^3+4)*x^2-2*(-x^3+1)^(2/3)-3*RootOf(_Z^3+4)*x+RootOf(_Z^3+4))/(x^2-x+1))*RootOf(RootOf(_Z^3+4)^2+2*_Z*RootOf(_Z^3+4)+4*_Z^2)","C"
101,1,676,109,7.503000," ","int((x+1)^2/(-x^3+1)^(1/3)/(x^3+1),x)","\RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}+4\right)+\RootOf \left(\textit{\_Z}^{3}+4\right)^{2}\right) \ln \left(\frac{2 x \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}+4\right)+\RootOf \left(\textit{\_Z}^{3}+4\right)^{2}\right)^{2} \RootOf \left(\textit{\_Z}^{3}+4\right)^{2}+x \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}+4\right)+\RootOf \left(\textit{\_Z}^{3}+4\right)^{2}\right) \RootOf \left(\textit{\_Z}^{3}+4\right)^{3}+2 x^{2} \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}+4\right)+\RootOf \left(\textit{\_Z}^{3}+4\right)^{2}\right)+x^{2} \RootOf \left(\textit{\_Z}^{3}+4\right)-\left(-x^{3}+1\right)^{\frac{1}{3}} x \RootOf \left(\textit{\_Z}^{3}+4\right)^{2}-\left(-x^{3}+1\right)^{\frac{2}{3}} \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}+4\right)+\RootOf \left(\textit{\_Z}^{3}+4\right)^{2}\right) \RootOf \left(\textit{\_Z}^{3}+4\right)^{2}-6 x \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}+4\right)+\RootOf \left(\textit{\_Z}^{3}+4\right)^{2}\right)-3 x \RootOf \left(\textit{\_Z}^{3}+4\right)+\left(-x^{3}+1\right)^{\frac{1}{3}} \RootOf \left(\textit{\_Z}^{3}+4\right)^{2}+2 \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}+4\right)+\RootOf \left(\textit{\_Z}^{3}+4\right)^{2}\right)+\RootOf \left(\textit{\_Z}^{3}+4\right)+2 \left(-x^{3}+1\right)^{\frac{2}{3}}}{x^{2}-x +1}\right)+\frac{\RootOf \left(\textit{\_Z}^{3}+4\right) \ln \left(-\frac{2 x \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}+4\right)+\RootOf \left(\textit{\_Z}^{3}+4\right)^{2}\right)^{2} \RootOf \left(\textit{\_Z}^{3}+4\right)^{2}+x \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}+4\right)+\RootOf \left(\textit{\_Z}^{3}+4\right)^{2}\right) \RootOf \left(\textit{\_Z}^{3}+4\right)^{3}-2 x^{2} \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}+4\right)+\RootOf \left(\textit{\_Z}^{3}+4\right)^{2}\right)-x^{2} \RootOf \left(\textit{\_Z}^{3}+4\right)-2 \left(-x^{3}+1\right)^{\frac{1}{3}} x \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}+4\right)+\RootOf \left(\textit{\_Z}^{3}+4\right)^{2}\right) \RootOf \left(\textit{\_Z}^{3}+4\right)-\left(-x^{3}+1\right)^{\frac{1}{3}} x \RootOf \left(\textit{\_Z}^{3}+4\right)^{2}-\left(-x^{3}+1\right)^{\frac{2}{3}} \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}+4\right)+\RootOf \left(\textit{\_Z}^{3}+4\right)^{2}\right) \RootOf \left(\textit{\_Z}^{3}+4\right)^{2}+2 x \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}+4\right)+\RootOf \left(\textit{\_Z}^{3}+4\right)^{2}\right)+x \RootOf \left(\textit{\_Z}^{3}+4\right)+2 \left(-x^{3}+1\right)^{\frac{1}{3}} \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}+4\right)+\RootOf \left(\textit{\_Z}^{3}+4\right)^{2}\right) \RootOf \left(\textit{\_Z}^{3}+4\right)+\left(-x^{3}+1\right)^{\frac{1}{3}} \RootOf \left(\textit{\_Z}^{3}+4\right)^{2}-2 \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}+4\right)+\RootOf \left(\textit{\_Z}^{3}+4\right)^{2}\right)-\RootOf \left(\textit{\_Z}^{3}+4\right)}{x^{2}-x +1}\right)}{2}"," ",0,"RootOf(RootOf(_Z^3+4)^2+2*_Z*RootOf(_Z^3+4)+4*_Z^2)*ln((RootOf(RootOf(_Z^3+4)^2+2*_Z*RootOf(_Z^3+4)+4*_Z^2)*RootOf(_Z^3+4)^3*x+2*RootOf(RootOf(_Z^3+4)^2+2*_Z*RootOf(_Z^3+4)+4*_Z^2)^2*RootOf(_Z^3+4)^2*x-(-x^3+1)^(2/3)*RootOf(RootOf(_Z^3+4)^2+2*_Z*RootOf(_Z^3+4)+4*_Z^2)*RootOf(_Z^3+4)^2-(-x^3+1)^(1/3)*RootOf(_Z^3+4)^2*x+(-x^3+1)^(1/3)*RootOf(_Z^3+4)^2+RootOf(_Z^3+4)*x^2+2*RootOf(RootOf(_Z^3+4)^2+2*_Z*RootOf(_Z^3+4)+4*_Z^2)*x^2-3*RootOf(_Z^3+4)*x-6*RootOf(RootOf(_Z^3+4)^2+2*_Z*RootOf(_Z^3+4)+4*_Z^2)*x+2*(-x^3+1)^(2/3)+RootOf(_Z^3+4)+2*RootOf(RootOf(_Z^3+4)^2+2*_Z*RootOf(_Z^3+4)+4*_Z^2))/(x^2-x+1))+1/2*RootOf(_Z^3+4)*ln(-(RootOf(RootOf(_Z^3+4)^2+2*_Z*RootOf(_Z^3+4)+4*_Z^2)*RootOf(_Z^3+4)^3*x+2*RootOf(RootOf(_Z^3+4)^2+2*_Z*RootOf(_Z^3+4)+4*_Z^2)^2*RootOf(_Z^3+4)^2*x-(-x^3+1)^(2/3)*RootOf(RootOf(_Z^3+4)^2+2*_Z*RootOf(_Z^3+4)+4*_Z^2)*RootOf(_Z^3+4)^2-(-x^3+1)^(1/3)*RootOf(_Z^3+4)^2*x-2*(-x^3+1)^(1/3)*RootOf(RootOf(_Z^3+4)^2+2*_Z*RootOf(_Z^3+4)+4*_Z^2)*RootOf(_Z^3+4)*x+(-x^3+1)^(1/3)*RootOf(_Z^3+4)^2+2*(-x^3+1)^(1/3)*RootOf(RootOf(_Z^3+4)^2+2*_Z*RootOf(_Z^3+4)+4*_Z^2)*RootOf(_Z^3+4)-RootOf(_Z^3+4)*x^2-2*RootOf(RootOf(_Z^3+4)^2+2*_Z*RootOf(_Z^3+4)+4*_Z^2)*x^2+RootOf(_Z^3+4)*x+2*RootOf(RootOf(_Z^3+4)^2+2*_Z*RootOf(_Z^3+4)+4*_Z^2)*x-RootOf(_Z^3+4)-2*RootOf(RootOf(_Z^3+4)^2+2*_Z*RootOf(_Z^3+4)+4*_Z^2))/(x^2-x+1))","C"
102,1,652,93,7.938000," ","int((-x+1)/(x^2+x+1)/(x^3+1)^(1/3),x)","\RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right) \ln \left(\frac{-2 x \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right)^{2} \RootOf \left(\textit{\_Z}^{3}-4\right)^{2}-x \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right) \RootOf \left(\textit{\_Z}^{3}-4\right)^{3}-2 x^{2} \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right)-x^{2} \RootOf \left(\textit{\_Z}^{3}-4\right)+\left(x^{3}+1\right)^{\frac{1}{3}} x \RootOf \left(\textit{\_Z}^{3}-4\right)^{2}+\left(x^{3}+1\right)^{\frac{2}{3}} \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right) \RootOf \left(\textit{\_Z}^{3}-4\right)^{2}-6 x \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right)-3 x \RootOf \left(\textit{\_Z}^{3}-4\right)+\left(x^{3}+1\right)^{\frac{1}{3}} \RootOf \left(\textit{\_Z}^{3}-4\right)^{2}-2 \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right)-\RootOf \left(\textit{\_Z}^{3}-4\right)+2 \left(x^{3}+1\right)^{\frac{2}{3}}}{x^{2}+x +1}\right)+\frac{\RootOf \left(\textit{\_Z}^{3}-4\right) \ln \left(-\frac{-2 x \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right)^{2} \RootOf \left(\textit{\_Z}^{3}-4\right)^{2}-x \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right) \RootOf \left(\textit{\_Z}^{3}-4\right)^{3}+2 x^{2} \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right)+x^{2} \RootOf \left(\textit{\_Z}^{3}-4\right)+2 \left(x^{3}+1\right)^{\frac{1}{3}} x \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right) \RootOf \left(\textit{\_Z}^{3}-4\right)+\left(x^{3}+1\right)^{\frac{1}{3}} x \RootOf \left(\textit{\_Z}^{3}-4\right)^{2}+\left(x^{3}+1\right)^{\frac{2}{3}} \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right) \RootOf \left(\textit{\_Z}^{3}-4\right)^{2}+2 x \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right)+x \RootOf \left(\textit{\_Z}^{3}-4\right)+2 \left(x^{3}+1\right)^{\frac{1}{3}} \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right) \RootOf \left(\textit{\_Z}^{3}-4\right)+\left(x^{3}+1\right)^{\frac{1}{3}} \RootOf \left(\textit{\_Z}^{3}-4\right)^{2}+2 \RootOf \left(4 \textit{\_Z}^{2}+2 \textit{\_Z} \RootOf \left(\textit{\_Z}^{3}-4\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)^{2}\right)+\RootOf \left(\textit{\_Z}^{3}-4\right)}{x^{2}+x +1}\right)}{2}"," ",0,"1/2*RootOf(_Z^3-4)*ln(-((x^3+1)^(2/3)*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)*RootOf(_Z^3-4)^2-RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)*RootOf(_Z^3-4)^3*x-2*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)^2*RootOf(_Z^3-4)^2*x+(x^3+1)^(1/3)*RootOf(_Z^3-4)^2*x+2*(x^3+1)^(1/3)*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)*RootOf(_Z^3-4)*x+(x^3+1)^(1/3)*RootOf(_Z^3-4)^2+2*(x^3+1)^(1/3)*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)*RootOf(_Z^3-4)+RootOf(_Z^3-4)*x^2+2*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)*x^2+RootOf(_Z^3-4)*x+2*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)*x+RootOf(_Z^3-4)+2*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2))/(x^2+x+1))+RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)*ln(((x^3+1)^(2/3)*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)*RootOf(_Z^3-4)^2-RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)*RootOf(_Z^3-4)^3*x-2*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)^2*RootOf(_Z^3-4)^2*x+(x^3+1)^(1/3)*RootOf(_Z^3-4)^2*x+(x^3+1)^(1/3)*RootOf(_Z^3-4)^2-RootOf(_Z^3-4)*x^2-2*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)*x^2+2*(x^3+1)^(2/3)-3*RootOf(_Z^3-4)*x-6*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2)*x-RootOf(_Z^3-4)-2*RootOf(RootOf(_Z^3-4)^2+2*_Z*RootOf(_Z^3-4)+4*_Z^2))/(x^2+x+1))","C"
103,1,34,35,0.096000," ","int((-x^3+1)^(2/3)/(x^2+x+1)^2,x)","x^{2} \hypergeom \left(\left[\frac{1}{3}, \frac{2}{3}\right], \left[\frac{5}{3}\right], x^{3}\right)-\frac{\left(x -1\right) \left(2 x +1\right)}{\left(-x^{3}+1\right)^{\frac{1}{3}}}"," ",0,"-(x-1)*(2*x+1)/(-x^3+1)^(1/3)+x^2*hypergeom([1/3,2/3],[5/3],x^3)","A"
104,1,34,35,0.092000," ","int((-x+1)/(x^2+x+1)/(-x^3+1)^(1/3),x)","x^{2} \hypergeom \left(\left[\frac{1}{3}, \frac{2}{3}\right], \left[\frac{5}{3}\right], x^{3}\right)-\frac{\left(x -1\right) \left(2 x +1\right)}{\left(-x^{3}+1\right)^{\frac{1}{3}}}"," ",0,"-(x-1)*(2*x+1)/(-x^3+1)^(1/3)+x^2*hypergeom([1/3,2/3],[5/3],x^3)","A"
105,1,34,33,0.095000," ","int((-x+1)^2/(-x^3+1)^(4/3),x)","x^{2} \hypergeom \left(\left[\frac{1}{3}, \frac{2}{3}\right], \left[\frac{5}{3}\right], x^{3}\right)-\frac{\left(x -1\right) \left(2 x +1\right)}{\left(-x^{3}+1\right)^{\frac{1}{3}}}"," ",0,"-(x-1)*(2*x+1)/(-x^3+1)^(1/3)+x^2*hypergeom([1/3,2/3],[5/3],x^3)","A"
106,1,12,52,0.102000," ","int((-x^3+1)^(2/3),x)","x \hypergeom \left(\left[-\frac{2}{3}, \frac{1}{3}\right], \left[\frac{4}{3}\right], x^{3}\right)"," ",0,"x*hypergeom([-2/3,1/3],[4/3],x^3)","C"
107,1,66,56,0.104000," ","int((-x^3+1)^(2/3)/x,x)","-\frac{\sqrt{3}\, \Gamma \left(\frac{2}{3}\right) \left(\frac{2 \pi  \sqrt{3}\, x^{3} \hypergeom \left(\left[\frac{1}{3}, 1, 1\right], \left[2, 2\right], x^{3}\right)}{3 \Gamma \left(\frac{2}{3}\right)}-\frac{\left(3 \ln \left(x \right)+\frac{3}{2}-\frac{\pi  \sqrt{3}}{6}-\frac{3 \ln \left(3\right)}{2}+i \pi \right) \pi  \sqrt{3}}{\Gamma \left(\frac{2}{3}\right)}\right)}{9 \pi}"," ",0,"-1/9/Pi*3^(1/2)*GAMMA(2/3)*(2/3*Pi*3^(1/2)/GAMMA(2/3)*x^3*hypergeom([1/3,1,1],[2,2],x^3)-(3/2-1/6*Pi*3^(1/2)-3/2*ln(3)+3*ln(x)+I*Pi)*Pi*3^(1/2)/GAMMA(2/3))","C"
108,0,0,321,0.127000," ","int((-x^3+1)^(2/3)/(b*x+a),x)","\int \frac{\left(-x^{3}+1\right)^{\frac{2}{3}}}{b x +a}\, dx"," ",0,"int((-x^3+1)^(2/3)/(b*x+a),x)","F"
109,0,0,178,0.194000," ","int((-x^3+1)^(2/3)/(x^2-x+1)^2,x)","\int \frac{\left(-x^{3}+1\right)^{\frac{2}{3}}}{\left(x^{2}-x +1\right)^{2}}\, dx"," ",0,"int((-x^3+1)^(2/3)/(x^2-x+1)^2,x)","F"
110,-1,0,163,180.000000," ","int((-2*x+1)*(-x^3+1)^(2/3)/(x^2-x+1)^2,x)","\int \frac{\left(-2 x +1\right) \left(-x^{3}+1\right)^{\frac{2}{3}}}{\left(x^{2}-x +1\right)^{2}}\, dx"," ",0,"int((-2*x+1)*(-x^3+1)^(2/3)/(x^2-x+1)^2,x)","F"
111,0,0,138,0.114000," ","int((-x^3+1)^(2/3)/(x+1),x)","\int \frac{\left(-x^{3}+1\right)^{\frac{2}{3}}}{x +1}\, dx"," ",0,"int((-x^3+1)^(2/3)/(x+1),x)","F"
112,0,0,138,0.017000," ","int((x^2-x+1)*(-x^3+1)^(2/3)/(x^3+1),x)","\int \frac{\left(x^{2}-x +1\right) \left(-x^{3}+1\right)^{\frac{2}{3}}}{x^{3}+1}\, dx"," ",0,"int((x^2-x+1)*(-x^3+1)^(2/3)/(x^3+1),x)","F"
113,0,0,106,0.603000," ","int((-x^3+1)^(2/3)/(x^3+1),x)","\int \frac{\left(-x^{3}+1\right)^{\frac{2}{3}}}{x^{3}+1}\, dx"," ",0,"int((-x^3+1)^(2/3)/(x^3+1),x)","F"
114,0,0,196,0.116000," ","int(x*(-x^3+1)^(2/3)/(x^3+1),x)","\int \frac{\left(-x^{3}+1\right)^{\frac{2}{3}} x}{x^{3}+1}\, dx"," ",0,"int(x*(-x^3+1)^(2/3)/(x^3+1),x)","F"
115,0,0,301,0.112000," ","int((-x+1)*(-x^3+1)^(2/3)/(x^3+1),x)","\int \frac{\left(-x +1\right) \left(-x^{3}+1\right)^{\frac{2}{3}}}{x^{3}+1}\, dx"," ",0,"int((-x+1)*(-x^3+1)^(2/3)/(x^3+1),x)","F"
116,1,1214,213,6.549000," ","int((-x^3+1)^(1/3)/(x^3+1),x)","\text{Expression too large to display}"," ",0,"1/2*RootOf(RootOf(_Z^3-2)^2+3*_Z*RootOf(_Z^3-2)+9*_Z^2)*ln(-(-6*RootOf(RootOf(_Z^3-2)^2+3*_Z*RootOf(_Z^3-2)+9*_Z^2)*RootOf(_Z^3-2)^4*x^3-36*RootOf(RootOf(_Z^3-2)^2+3*_Z*RootOf(_Z^3-2)+9*_Z^2)^2*RootOf(_Z^3-2)^3*x^3+x^6*RootOf(_Z^3-2)^2+6*RootOf(RootOf(_Z^3-2)^2+3*_Z*RootOf(_Z^3-2)+9*_Z^2)*RootOf(_Z^3-2)*x^6+18*RootOf(RootOf(_Z^3-2)^2+3*_Z*RootOf(_Z^3-2)+9*_Z^2)*RootOf(_Z^3-2)^2*(-x^3+1)^(2/3)*x^2+18*(-x^3+1)^(1/3)*RootOf(RootOf(_Z^3-2)^2+3*_Z*RootOf(_Z^3-2)+9*_Z^2)*x^4-6*RootOf(_Z^3-2)^2*x^3-36*RootOf(RootOf(_Z^3-2)^2+3*_Z*RootOf(_Z^3-2)+9*_Z^2)*RootOf(_Z^3-2)*x^3-18*(-x^3+1)^(1/3)*RootOf(RootOf(_Z^3-2)^2+3*_Z*RootOf(_Z^3-2)+9*_Z^2)*x+RootOf(_Z^3-2)^2+6*RootOf(RootOf(_Z^3-2)^2+3*_Z*RootOf(_Z^3-2)+9*_Z^2)*RootOf(_Z^3-2))/(x+1)^2/(x^2-x+1)^2)-1/6*ln((6*RootOf(RootOf(_Z^3-2)^2+3*_Z*RootOf(_Z^3-2)+9*_Z^2)*RootOf(_Z^3-2)^4*x^3+36*RootOf(RootOf(_Z^3-2)^2+3*_Z*RootOf(_Z^3-2)+9*_Z^2)^2*RootOf(_Z^3-2)^3*x^3+x^6*RootOf(_Z^3-2)^2+6*RootOf(RootOf(_Z^3-2)^2+3*_Z*RootOf(_Z^3-2)+9*_Z^2)*RootOf(_Z^3-2)*x^6+18*RootOf(RootOf(_Z^3-2)^2+3*_Z*RootOf(_Z^3-2)+9*_Z^2)*RootOf(_Z^3-2)^2*(-x^3+1)^(2/3)*x^2+6*RootOf(_Z^3-2)*(-x^3+1)^(1/3)*x^4+18*(-x^3+1)^(1/3)*RootOf(RootOf(_Z^3-2)^2+3*_Z*RootOf(_Z^3-2)+9*_Z^2)*x^4-2*RootOf(_Z^3-2)^2*x^3-12*RootOf(RootOf(_Z^3-2)^2+3*_Z*RootOf(_Z^3-2)+9*_Z^2)*RootOf(_Z^3-2)*x^3+12*(-x^3+1)^(2/3)*x^2-6*RootOf(_Z^3-2)*(-x^3+1)^(1/3)*x-18*(-x^3+1)^(1/3)*RootOf(RootOf(_Z^3-2)^2+3*_Z*RootOf(_Z^3-2)+9*_Z^2)*x+RootOf(_Z^3-2)^2+6*RootOf(RootOf(_Z^3-2)^2+3*_Z*RootOf(_Z^3-2)+9*_Z^2)*RootOf(_Z^3-2))/(x+1)^2/(x^2-x+1)^2)*RootOf(_Z^3-2)-1/2*ln((6*RootOf(RootOf(_Z^3-2)^2+3*_Z*RootOf(_Z^3-2)+9*_Z^2)*RootOf(_Z^3-2)^4*x^3+36*RootOf(RootOf(_Z^3-2)^2+3*_Z*RootOf(_Z^3-2)+9*_Z^2)^2*RootOf(_Z^3-2)^3*x^3+x^6*RootOf(_Z^3-2)^2+6*RootOf(RootOf(_Z^3-2)^2+3*_Z*RootOf(_Z^3-2)+9*_Z^2)*RootOf(_Z^3-2)*x^6+18*RootOf(RootOf(_Z^3-2)^2+3*_Z*RootOf(_Z^3-2)+9*_Z^2)*RootOf(_Z^3-2)^2*(-x^3+1)^(2/3)*x^2+6*RootOf(_Z^3-2)*(-x^3+1)^(1/3)*x^4+18*(-x^3+1)^(1/3)*RootOf(RootOf(_Z^3-2)^2+3*_Z*RootOf(_Z^3-2)+9*_Z^2)*x^4-2*RootOf(_Z^3-2)^2*x^3-12*RootOf(RootOf(_Z^3-2)^2+3*_Z*RootOf(_Z^3-2)+9*_Z^2)*RootOf(_Z^3-2)*x^3+12*(-x^3+1)^(2/3)*x^2-6*RootOf(_Z^3-2)*(-x^3+1)^(1/3)*x-18*(-x^3+1)^(1/3)*RootOf(RootOf(_Z^3-2)^2+3*_Z*RootOf(_Z^3-2)+9*_Z^2)*x+RootOf(_Z^3-2)^2+6*RootOf(RootOf(_Z^3-2)^2+3*_Z*RootOf(_Z^3-2)+9*_Z^2)*RootOf(_Z^3-2))/(x+1)^2/(x^2-x+1)^2)*RootOf(RootOf(_Z^3-2)^2+3*_Z*RootOf(_Z^3-2)+9*_Z^2)","C"