1,1,329,207,0.115000," ","int((e*x^3+d)/(c*x^6+a),x)","\frac{\left(\frac{a}{c}\right)^{\frac{1}{6}} d \arctan \left(\frac{x}{\left(\frac{a}{c}\right)^{\frac{1}{6}}}\right)}{3 a}+\frac{\left(\frac{a}{c}\right)^{\frac{1}{6}} d \arctan \left(\frac{2 x}{\left(\frac{a}{c}\right)^{\frac{1}{6}}}-\sqrt{3}\right)}{6 a}+\frac{\left(\frac{a}{c}\right)^{\frac{1}{6}} d \arctan \left(\frac{2 x}{\left(\frac{a}{c}\right)^{\frac{1}{6}}}+\sqrt{3}\right)}{6 a}-\frac{\sqrt{3}\, \left(\frac{a}{c}\right)^{\frac{1}{6}} d \ln \left(x^{2}-\sqrt{3}\, \left(\frac{a}{c}\right)^{\frac{1}{6}} x +\left(\frac{a}{c}\right)^{\frac{1}{3}}\right)}{12 a}+\frac{\left(\frac{a}{c}\right)^{\frac{2}{3}} \sqrt{3}\, e \arctan \left(\frac{2 x}{\left(\frac{a}{c}\right)^{\frac{1}{6}}}-\sqrt{3}\right)}{6 a}-\frac{\left(\frac{a}{c}\right)^{\frac{2}{3}} \sqrt{3}\, e \arctan \left(\frac{2 x}{\left(\frac{a}{c}\right)^{\frac{1}{6}}}+\sqrt{3}\right)}{6 a}-\frac{\left(\frac{a}{c}\right)^{\frac{2}{3}} e \ln \left(x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{3}}\right)}{6 a}+\frac{\left(\frac{a}{c}\right)^{\frac{2}{3}} e \ln \left(x^{2}-\sqrt{3}\, \left(\frac{a}{c}\right)^{\frac{1}{6}} x +\left(\frac{a}{c}\right)^{\frac{1}{3}}\right)}{12 a}+\frac{\left(\frac{a}{c}\right)^{\frac{2}{3}} e \ln \left(x^{2}+\sqrt{3}\, \left(\frac{a}{c}\right)^{\frac{1}{6}} x +\left(\frac{a}{c}\right)^{\frac{1}{3}}\right)}{12 a}+\frac{\left(\frac{a}{c}\right)^{\frac{7}{6}} \sqrt{3}\, c d \ln \left(x^{2}+\sqrt{3}\, \left(\frac{a}{c}\right)^{\frac{1}{6}} x +\left(\frac{a}{c}\right)^{\frac{1}{3}}\right)}{12 a^{2}}"," ",0,"1/12*c*(a/c)^(7/6)/a^2*ln(x^2+3^(1/2)*(a/c)^(1/6)*x+(a/c)^(1/3))*3^(1/2)*d+1/12*(a/c)^(2/3)/a*ln(x^2+3^(1/2)*(a/c)^(1/6)*x+(a/c)^(1/3))*e+1/6*(a/c)^(1/6)/a*arctan(2*x/(a/c)^(1/6)+3^(1/2))*d-1/6*(a/c)^(2/3)/a*arctan(2*x/(a/c)^(1/6)+3^(1/2))*3^(1/2)*e+1/12/a*ln(x^2-3^(1/2)*(a/c)^(1/6)*x+(a/c)^(1/3))*(a/c)^(2/3)*e-1/12/a*ln(x^2-3^(1/2)*(a/c)^(1/6)*x+(a/c)^(1/3))*3^(1/2)*(a/c)^(1/6)*d+1/6/a*(a/c)^(2/3)*arctan(2*x/(a/c)^(1/6)-3^(1/2))*3^(1/2)*e+1/6/a*(a/c)^(1/6)*arctan(2*x/(a/c)^(1/6)-3^(1/2))*d-1/6*(a/c)^(2/3)/a*e*ln(x^2+(a/c)^(1/3))+1/3*(a/c)^(1/6)/a*d*arctan(x/(a/c)^(1/6))","A"
2,1,386,221,0.110000," ","int((e*x^3+d)/(-c*x^6+a),x)","\frac{\left(\frac{a}{c}\right)^{\frac{1}{6}} \sqrt{3}\, d \arctan \left(\frac{2 \sqrt{3}\, x}{3 \left(\frac{a}{c}\right)^{\frac{1}{6}}}-\frac{\sqrt{3}}{3}\right)}{6 a}+\frac{\left(\frac{a}{c}\right)^{\frac{1}{6}} \sqrt{3}\, d \arctan \left(\frac{2 \sqrt{3}\, x}{3 \left(\frac{a}{c}\right)^{\frac{1}{6}}}+\frac{\sqrt{3}}{3}\right)}{6 a}+\frac{\left(\frac{a}{c}\right)^{\frac{1}{6}} d \ln \left(x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{6}} x +\left(\frac{a}{c}\right)^{\frac{1}{3}}\right)}{12 a}-\frac{\left(\frac{a}{c}\right)^{\frac{1}{6}} d \ln \left(-x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{6}} x -\left(\frac{a}{c}\right)^{\frac{1}{3}}\right)}{12 a}-\frac{\left(\frac{a}{c}\right)^{\frac{2}{3}} \sqrt{3}\, e \arctan \left(\frac{2 \sqrt{3}\, x}{3 \left(\frac{a}{c}\right)^{\frac{1}{6}}}-\frac{\sqrt{3}}{3}\right)}{6 a}+\frac{\left(\frac{a}{c}\right)^{\frac{2}{3}} \sqrt{3}\, e \arctan \left(\frac{2 \sqrt{3}\, x}{3 \left(\frac{a}{c}\right)^{\frac{1}{6}}}+\frac{\sqrt{3}}{3}\right)}{6 a}+\frac{\left(\frac{a}{c}\right)^{\frac{2}{3}} e \ln \left(x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{6}} x +\left(\frac{a}{c}\right)^{\frac{1}{3}}\right)}{12 a}+\frac{\left(\frac{a}{c}\right)^{\frac{2}{3}} e \ln \left(-x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{6}} x -\left(\frac{a}{c}\right)^{\frac{1}{3}}\right)}{12 a}-\frac{d \ln \left(-x +\left(\frac{a}{c}\right)^{\frac{1}{6}}\right)}{6 \left(\frac{a}{c}\right)^{\frac{5}{6}} c}+\frac{d \ln \left(x +\left(\frac{a}{c}\right)^{\frac{1}{6}}\right)}{6 \left(\frac{a}{c}\right)^{\frac{5}{6}} c}-\frac{e \ln \left(-x +\left(\frac{a}{c}\right)^{\frac{1}{6}}\right)}{6 \left(\frac{a}{c}\right)^{\frac{1}{3}} c}-\frac{e \ln \left(x +\left(\frac{a}{c}\right)^{\frac{1}{6}}\right)}{6 \left(\frac{a}{c}\right)^{\frac{1}{3}} c}"," ",0,"-1/6/c/(a/c)^(1/3)*ln(x+(a/c)^(1/6))*e+1/6/c/(a/c)^(5/6)*ln(x+(a/c)^(1/6))*d+1/12*(a/c)^(2/3)/a*ln((a/c)^(1/6)*x-x^2-(a/c)^(1/3))*e-1/12*(a/c)^(1/6)/a*ln((a/c)^(1/6)*x-x^2-(a/c)^(1/3))*d-1/6*(a/c)^(2/3)/a*3^(1/2)*e*arctan(-1/3*3^(1/2)+2/3*x*3^(1/2)/(a/c)^(1/6))+1/6*(a/c)^(1/6)/a*3^(1/2)*d*arctan(-1/3*3^(1/2)+2/3*x*3^(1/2)/(a/c)^(1/6))-1/6/c/(a/c)^(1/3)*ln(-x+(a/c)^(1/6))*e-1/6/c/(a/c)^(5/6)*ln(-x+(a/c)^(1/6))*d+1/12/a*(a/c)^(2/3)*e*ln(x^2+(a/c)^(1/6)*x+(a/c)^(1/3))+1/6/a*(a/c)^(2/3)*e*3^(1/2)*arctan(2/3*x*3^(1/2)/(a/c)^(1/6)+1/3*3^(1/2))+1/12/a*d*(a/c)^(1/6)*ln(x^2+(a/c)^(1/6)*x+(a/c)^(1/3))+1/6/a*d*(a/c)^(1/6)*3^(1/2)*arctan(2/3*x*3^(1/2)/(a/c)^(1/6)+1/3*3^(1/2))","A"
3,1,34,522,0.018000," ","int((e*x^4+d)/(c*x^8+a),x)","\frac{\left(\RootOf \left(\textit{\_Z}^{8} c +a \right)^{4} e +d \right) \ln \left(-\RootOf \left(\textit{\_Z}^{8} c +a \right)+x \right)}{8 c \RootOf \left(\textit{\_Z}^{8} c +a \right)^{7}}"," ",0,"1/8/c*sum((_R^4*e+d)/_R^7*ln(-_R+x),_R=RootOf(_Z^8*c+a))","C"
4,1,39,220,0.013000," ","int((e*x^4+d)/(-c*x^8+a),x)","\frac{\left(-\RootOf \left(\textit{\_Z}^{8} c -a \right)^{4} e -d \right) \ln \left(-\RootOf \left(\textit{\_Z}^{8} c -a \right)+x \right)}{8 c \RootOf \left(\textit{\_Z}^{8} c -a \right)^{7}}"," ",0,"1/8/c*sum((-_R^4*e-d)/_R^7*ln(-_R+x),_R=RootOf(_Z^8*c-a))","C"
5,1,53,575,0.049000," ","int((e*x^4+d)/(e^2*x^8+b*x^4+d^2),x)","\frac{\left(\RootOf \left(e^{2} \textit{\_Z}^{8}+b \,\textit{\_Z}^{4}+d^{2}\right)^{4} e +d \right) \ln \left(-\RootOf \left(e^{2} \textit{\_Z}^{8}+b \,\textit{\_Z}^{4}+d^{2}\right)+x \right)}{8 \RootOf \left(e^{2} \textit{\_Z}^{8}+b \,\textit{\_Z}^{4}+d^{2}\right)^{7} e^{2}+4 \RootOf \left(e^{2} \textit{\_Z}^{8}+b \,\textit{\_Z}^{4}+d^{2}\right)^{3} b}"," ",0,"1/4*sum((_R^4*e+d)/(2*_R^7*e^2+_R^3*b)*ln(-_R+x),_R=RootOf(_Z^8*e^2+_Z^4*b+d^2))","C"
6,1,53,575,0.049000," ","int((e*x^4+d)/(e^2*x^8+f*x^4+d^2),x)","\frac{\left(\RootOf \left(e^{2} \textit{\_Z}^{8}+f \,\textit{\_Z}^{4}+d^{2}\right)^{4} e +d \right) \ln \left(-\RootOf \left(e^{2} \textit{\_Z}^{8}+f \,\textit{\_Z}^{4}+d^{2}\right)+x \right)}{8 \RootOf \left(e^{2} \textit{\_Z}^{8}+f \,\textit{\_Z}^{4}+d^{2}\right)^{7} e^{2}+4 \RootOf \left(e^{2} \textit{\_Z}^{8}+f \,\textit{\_Z}^{4}+d^{2}\right)^{3} f}"," ",0,"1/4*sum((_R^4*e+d)/(2*_R^7*e^2+_R^3*f)*ln(-_R+x),_R=RootOf(_Z^8*e^2+_Z^4*f+d^2))","C"
7,1,55,261,0.033000," ","int((e*x^4+d)/(e^2*x^8-b*x^4+d^2),x)","\frac{\left(\RootOf \left(e^{2} \textit{\_Z}^{8}-b \,\textit{\_Z}^{4}+d^{2}\right)^{4} e +d \right) \ln \left(-\RootOf \left(e^{2} \textit{\_Z}^{8}-b \,\textit{\_Z}^{4}+d^{2}\right)+x \right)}{8 \RootOf \left(e^{2} \textit{\_Z}^{8}-b \,\textit{\_Z}^{4}+d^{2}\right)^{7} e^{2}-4 \RootOf \left(e^{2} \textit{\_Z}^{8}-b \,\textit{\_Z}^{4}+d^{2}\right)^{3} b}"," ",0,"1/4*sum((_R^4*e+d)/(2*_R^7*e^2-_R^3*b)*ln(-_R+x),_R=RootOf(_Z^8*e^2-_Z^4*b+d^2))","C"
8,1,55,535,0.034000," ","int((e*x^4+d)/(e^2*x^8-f*x^4+d^2),x)","\frac{\left(\RootOf \left(e^{2} \textit{\_Z}^{8}-f \,\textit{\_Z}^{4}+d^{2}\right)^{4} e +d \right) \ln \left(-\RootOf \left(e^{2} \textit{\_Z}^{8}-f \,\textit{\_Z}^{4}+d^{2}\right)+x \right)}{8 \RootOf \left(e^{2} \textit{\_Z}^{8}-f \,\textit{\_Z}^{4}+d^{2}\right)^{7} e^{2}-4 \RootOf \left(e^{2} \textit{\_Z}^{8}-f \,\textit{\_Z}^{4}+d^{2}\right)^{3} f}"," ",0,"1/4*sum((_R^4*e+d)/(2*_R^7*e^2-_R^3*f)*ln(-_R+x),_R=RootOf(_Z^8*e^2-_Z^4*f+d^2))","C"
9,1,42,315,0.056000," ","int((x^4+1)/(x^8+b*x^4+1),x)","\frac{\left(\RootOf \left(\textit{\_Z}^{8}+b \,\textit{\_Z}^{4}+1\right)^{4}+1\right) \ln \left(-\RootOf \left(\textit{\_Z}^{8}+b \,\textit{\_Z}^{4}+1\right)+x \right)}{8 \RootOf \left(\textit{\_Z}^{8}+b \,\textit{\_Z}^{4}+1\right)^{7}+4 \RootOf \left(\textit{\_Z}^{8}+b \,\textit{\_Z}^{4}+1\right)^{3} b}"," ",0,"1/4*sum((_R^4+1)/(2*_R^7+_R^3*b)*ln(-_R+x),_R=RootOf(_Z^8+_Z^4*b+1))","C"
10,1,42,293,0.010000," ","int((x^4+1)/(x^8+3*x^4+1),x)","\frac{\left(\RootOf \left(\textit{\_Z}^{8}+3 \textit{\_Z}^{4}+1\right)^{4}+1\right) \ln \left(-\RootOf \left(\textit{\_Z}^{8}+3 \textit{\_Z}^{4}+1\right)+x \right)}{8 \RootOf \left(\textit{\_Z}^{8}+3 \textit{\_Z}^{4}+1\right)^{7}+12 \RootOf \left(\textit{\_Z}^{8}+3 \textit{\_Z}^{4}+1\right)^{3}}"," ",0,"1/4*sum((_R^4+1)/(2*_R^7+3*_R^3)*ln(-_R+x),_R=RootOf(_Z^8+3*_Z^4+1))","C"
11,1,58,60,0.003000," ","int((x^4+1)/(x^8+2*x^4+1),x)","\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, x -1\right)}{4}+\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, x +1\right)}{4}+\frac{\sqrt{2}\, \ln \left(\frac{x^{2}+\sqrt{2}\, x +1}{x^{2}-\sqrt{2}\, x +1}\right)}{8}"," ",0,"1/4*2^(1/2)*arctan(2^(1/2)*x-1)+1/8*2^(1/2)*ln((x^2+2^(1/2)*x+1)/(x^2-2^(1/2)*x+1))+1/4*2^(1/2)*arctan(2^(1/2)*x+1)","A"
12,1,109,108,0.018000," ","int((x^4+1)/(x^8+x^4+1),x)","\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{12}+\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{12}+\frac{\arctan \left(2 x -\sqrt{3}\right)}{4}+\frac{\arctan \left(2 x +\sqrt{3}\right)}{4}-\frac{\sqrt{3}\, \ln \left(x^{2}-\sqrt{3}\, x +1\right)}{24}+\frac{\sqrt{3}\, \ln \left(x^{2}+\sqrt{3}\, x +1\right)}{24}-\frac{\ln \left(x^{2}-x +1\right)}{8}+\frac{\ln \left(x^{2}+x +1\right)}{8}"," ",0,"1/8*ln(x^2+x+1)+1/12*3^(1/2)*arctan(1/3*(2*x+1)*3^(1/2))-1/24*3^(1/2)*ln(x^2-3^(1/2)*x+1)+1/4*arctan(2*x-3^(1/2))+1/24*3^(1/2)*ln(x^2+3^(1/2)*x+1)+1/4*arctan(2*x+3^(1/2))-1/8*ln(x^2-x+1)+1/12*3^(1/2)*arctan(1/3*(2*x-1)*3^(1/2))","A"
13,1,27,239,0.008000," ","int((x^4+1)/(x^8+1),x)","\frac{\left(\RootOf \left(\textit{\_Z}^{8}+1\right)^{4}+1\right) \ln \left(-\RootOf \left(\textit{\_Z}^{8}+1\right)+x \right)}{8 \RootOf \left(\textit{\_Z}^{8}+1\right)^{7}}"," ",0,"1/8*sum((_R^4+1)/_R^7*ln(-_R+x),_R=RootOf(_Z^8+1))","C"
14,1,42,307,0.013000," ","int((x^4+1)/(x^8-x^4+1),x)","\frac{\left(\RootOf \left(\textit{\_Z}^{8}-\textit{\_Z}^{4}+1\right)^{4}+1\right) \ln \left(-\RootOf \left(\textit{\_Z}^{8}-\textit{\_Z}^{4}+1\right)+x \right)}{8 \RootOf \left(\textit{\_Z}^{8}-\textit{\_Z}^{4}+1\right)^{7}-4 \RootOf \left(\textit{\_Z}^{8}-\textit{\_Z}^{4}+1\right)^{3}}"," ",0,"1/4*sum((_R^4+1)/(2*_R^7-_R^3)*ln(-_R+x),_R=RootOf(_Z^8-_Z^4+1))","C"
15,1,42,21,0.012000," ","int((x^4+1)/(x^8-2*x^4+1),x)","\frac{x}{4 x^{2}+4}+\frac{\arctan \left(x \right)}{4}-\frac{\ln \left(x -1\right)}{8}+\frac{\ln \left(x +1\right)}{8}-\frac{1}{8 \left(x +1\right)}-\frac{1}{8 \left(x -1\right)}"," ",0,"-1/8/(x+1)+1/8*ln(x+1)+1/4/(x^2+1)*x+1/4*arctan(x)-1/8/(x-1)-1/8*ln(x-1)","A"
16,1,96,95,0.040000," ","int((x^4+1)/(x^8-3*x^4+1),x)","\frac{\arctanh \left(\frac{2 x}{\sqrt{-2+2 \sqrt{5}}}\right)}{\sqrt{-2+2 \sqrt{5}}}-\frac{\arctanh \left(\frac{2 x}{\sqrt{2+2 \sqrt{5}}}\right)}{\sqrt{2+2 \sqrt{5}}}+\frac{\arctan \left(\frac{2 x}{\sqrt{-2+2 \sqrt{5}}}\right)}{\sqrt{-2+2 \sqrt{5}}}-\frac{\arctan \left(\frac{2 x}{\sqrt{2+2 \sqrt{5}}}\right)}{\sqrt{2+2 \sqrt{5}}}"," ",0,"-1/(2+2*5^(1/2))^(1/2)*arctanh(2/(2+2*5^(1/2))^(1/2)*x)+1/(-2+2*5^(1/2))^(1/2)*arctan(2/(-2+2*5^(1/2))^(1/2)*x)+1/(-2+2*5^(1/2))^(1/2)*arctanh(2/(-2+2*5^(1/2))^(1/2)*x)-1/(2+2*5^(1/2))^(1/2)*arctan(2/(2+2*5^(1/2))^(1/2)*x)","A"
17,1,40,101,0.013000," ","int((x^4+1)/(x^8-4*x^4+1),x)","\frac{\left(\RootOf \left(\textit{\_Z}^{8}-4 \textit{\_Z}^{4}+1\right)^{4}+1\right) \ln \left(-\RootOf \left(\textit{\_Z}^{8}-4 \textit{\_Z}^{4}+1\right)+x \right)}{8 \RootOf \left(\textit{\_Z}^{8}-4 \textit{\_Z}^{4}+1\right)^{7}-16 \RootOf \left(\textit{\_Z}^{8}-4 \textit{\_Z}^{4}+1\right)^{3}}"," ",0,"1/8*sum((_R^4+1)/(_R^7-2*_R^3)*ln(-_R+x),_R=RootOf(_Z^8-4*_Z^4+1))","C"
18,1,42,123,0.013000," ","int((x^4+1)/(x^8-5*x^4+1),x)","\frac{\left(\RootOf \left(\textit{\_Z}^{8}-5 \textit{\_Z}^{4}+1\right)^{4}+1\right) \ln \left(-\RootOf \left(\textit{\_Z}^{8}-5 \textit{\_Z}^{4}+1\right)+x \right)}{8 \RootOf \left(\textit{\_Z}^{8}-5 \textit{\_Z}^{4}+1\right)^{7}-20 \RootOf \left(\textit{\_Z}^{8}-5 \textit{\_Z}^{4}+1\right)^{3}}"," ",0,"1/4*sum((_R^4+1)/(2*_R^7-5*_R^3)*ln(-_R+x),_R=RootOf(_Z^8-5*_Z^4+1))","C"
19,1,78,77,0.062000," ","int((x^4+1)/(x^8-6*x^4+1),x)","-\frac{\arctanh \left(\frac{x}{\sqrt{1+\sqrt{2}}}\right)}{4 \sqrt{1+\sqrt{2}}}+\frac{\arctanh \left(\frac{x}{\sqrt{\sqrt{2}-1}}\right)}{4 \sqrt{\sqrt{2}-1}}-\frac{\arctan \left(\frac{x}{\sqrt{1+\sqrt{2}}}\right)}{4 \sqrt{1+\sqrt{2}}}+\frac{\arctan \left(\frac{x}{\sqrt{\sqrt{2}-1}}\right)}{4 \sqrt{\sqrt{2}-1}}"," ",0,"1/4*arctan(x/(2^(1/2)-1)^(1/2))/(2^(1/2)-1)^(1/2)+1/4*arctanh(x/(2^(1/2)-1)^(1/2))/(2^(1/2)-1)^(1/2)-1/4*arctan(x/(1+2^(1/2))^(1/2))/(1+2^(1/2))^(1/2)-1/4*arctanh(x/(1+2^(1/2))^(1/2))/(1+2^(1/2))^(1/2)","A"
20,1,44,391,0.003000," ","int((-x^4+1)/(x^8+b*x^4+1),x)","\frac{\left(-\RootOf \left(\textit{\_Z}^{8}+b \,\textit{\_Z}^{4}+1\right)^{4}+1\right) \ln \left(-\RootOf \left(\textit{\_Z}^{8}+b \,\textit{\_Z}^{4}+1\right)+x \right)}{8 \RootOf \left(\textit{\_Z}^{8}+b \,\textit{\_Z}^{4}+1\right)^{7}+4 \RootOf \left(\textit{\_Z}^{8}+b \,\textit{\_Z}^{4}+1\right)^{3} b}"," ",0,"1/4*sum((-_R^4+1)/(2*_R^7+_R^3*b)*ln(-_R+x),_R=RootOf(_Z^8+_Z^4*b+1))","C"
21,1,44,269,0.012000," ","int((-x^4+1)/(x^8+3*x^4+1),x)","\frac{\left(-\RootOf \left(\textit{\_Z}^{8}+3 \textit{\_Z}^{4}+1\right)^{4}+1\right) \ln \left(-\RootOf \left(\textit{\_Z}^{8}+3 \textit{\_Z}^{4}+1\right)+x \right)}{8 \RootOf \left(\textit{\_Z}^{8}+3 \textit{\_Z}^{4}+1\right)^{7}+12 \RootOf \left(\textit{\_Z}^{8}+3 \textit{\_Z}^{4}+1\right)^{3}}"," ",0,"1/4*sum((-_R^4+1)/(2*_R^7+3*_R^3)*ln(-_R+x),_R=RootOf(_Z^8+3*_Z^4+1))","C"
22,1,68,70,0.007000," ","int((-x^4+1)/(x^8+2*x^4+1),x)","\frac{x}{2 x^{4}+2}+\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, x -1\right)}{8}+\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, x +1\right)}{8}+\frac{\sqrt{2}\, \ln \left(\frac{x^{2}+\sqrt{2}\, x +1}{x^{2}-\sqrt{2}\, x +1}\right)}{16}"," ",0,"1/2/(x^4+1)*x+1/16*2^(1/2)*ln((x^2+2^(1/2)*x+1)/(x^2-2^(1/2)*x+1))+1/8*2^(1/2)*arctan(2^(1/2)*x-1)+1/8*2^(1/2)*arctan(2^(1/2)*x+1)","A"
23,1,109,108,0.013000," ","int((-x^4+1)/(x^8+x^4+1),x)","\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{4}+\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{4}-\frac{\arctan \left(2 x -\sqrt{3}\right)}{4}-\frac{\arctan \left(2 x +\sqrt{3}\right)}{4}-\frac{\sqrt{3}\, \ln \left(x^{2}-\sqrt{3}\, x +1\right)}{8}+\frac{\sqrt{3}\, \ln \left(x^{2}+\sqrt{3}\, x +1\right)}{8}+\frac{\ln \left(x^{2}-x +1\right)}{8}-\frac{\ln \left(x^{2}+x +1\right)}{8}"," ",0,"-1/8*ln(x^2+x+1)+1/4*3^(1/2)*arctan(1/3*(2*x+1)*3^(1/2))-1/8*3^(1/2)*ln(x^2-3^(1/2)*x+1)-1/4*arctan(2*x-3^(1/2))+1/8*3^(1/2)*ln(x^2+3^(1/2)*x+1)-1/4*arctan(2*x+3^(1/2))+1/8*ln(x^2-x+1)+1/4*3^(1/2)*arctan(1/3*(2*x-1)*3^(1/2))","A"
24,1,29,239,0.008000," ","int((-x^4+1)/(x^8+1),x)","\frac{\left(-\RootOf \left(\textit{\_Z}^{8}+1\right)^{4}+1\right) \ln \left(-\RootOf \left(\textit{\_Z}^{8}+1\right)+x \right)}{8 \RootOf \left(\textit{\_Z}^{8}+1\right)^{7}}"," ",0,"1/8*sum((-_R^4+1)/_R^7*ln(-_R+x),_R=RootOf(_Z^8+1))","C"
25,1,44,307,0.009000," ","int((-x^4+1)/(x^8-x^4+1),x)","\frac{\left(-\RootOf \left(\textit{\_Z}^{8}-\textit{\_Z}^{4}+1\right)^{4}+1\right) \ln \left(-\RootOf \left(\textit{\_Z}^{8}-\textit{\_Z}^{4}+1\right)+x \right)}{8 \RootOf \left(\textit{\_Z}^{8}-\textit{\_Z}^{4}+1\right)^{7}-4 \RootOf \left(\textit{\_Z}^{8}-\textit{\_Z}^{4}+1\right)^{3}}"," ",0,"1/4*sum((-_R^4+1)/(2*_R^7-_R^3)*ln(-_R+x),_R=RootOf(_Z^8-_Z^4+1))","C"
26,1,10,9,0.001000," ","int((-x^4+1)/(x^8-2*x^4+1),x)","\frac{\arctanh \left(x \right)}{2}+\frac{\arctan \left(x \right)}{2}"," ",0,"1/2*arctan(x)+1/2*arctanh(x)","A"
27,1,110,93,0.026000," ","int((-x^4+1)/(x^8-3*x^4+1),x)","\frac{\sqrt{5}\, \arctanh \left(\frac{2 x}{\sqrt{-2+2 \sqrt{5}}}\right)}{5 \sqrt{-2+2 \sqrt{5}}}+\frac{\sqrt{5}\, \arctanh \left(\frac{2 x}{\sqrt{2+2 \sqrt{5}}}\right)}{5 \sqrt{2+2 \sqrt{5}}}+\frac{\sqrt{5}\, \arctan \left(\frac{2 x}{\sqrt{-2+2 \sqrt{5}}}\right)}{5 \sqrt{-2+2 \sqrt{5}}}+\frac{\sqrt{5}\, \arctan \left(\frac{2 x}{\sqrt{2+2 \sqrt{5}}}\right)}{5 \sqrt{2+2 \sqrt{5}}}"," ",0,"1/5*5^(1/2)/(2+2*5^(1/2))^(1/2)*arctanh(2/(2+2*5^(1/2))^(1/2)*x)+1/5*5^(1/2)/(-2+2*5^(1/2))^(1/2)*arctan(2/(-2+2*5^(1/2))^(1/2)*x)+1/5*5^(1/2)/(-2+2*5^(1/2))^(1/2)*arctanh(2/(-2+2*5^(1/2))^(1/2)*x)+1/5*5^(1/2)/(2+2*5^(1/2))^(1/2)*arctan(2/(2+2*5^(1/2))^(1/2)*x)","A"
28,1,42,109,0.010000," ","int((-x^4+1)/(x^8-4*x^4+1),x)","\frac{\left(-\RootOf \left(\textit{\_Z}^{8}-4 \textit{\_Z}^{4}+1\right)^{4}+1\right) \ln \left(-\RootOf \left(\textit{\_Z}^{8}-4 \textit{\_Z}^{4}+1\right)+x \right)}{8 \RootOf \left(\textit{\_Z}^{8}-4 \textit{\_Z}^{4}+1\right)^{7}-16 \RootOf \left(\textit{\_Z}^{8}-4 \textit{\_Z}^{4}+1\right)^{3}}"," ",0,"1/8*sum((-_R^4+1)/(_R^7-2*_R^3)*ln(-_R+x),_R=RootOf(_Z^8-4*_Z^4+1))","C"
29,1,44,121,0.012000," ","int((-x^4+1)/(x^8-5*x^4+1),x)","\frac{\left(-\RootOf \left(\textit{\_Z}^{8}-5 \textit{\_Z}^{4}+1\right)^{4}+1\right) \ln \left(-\RootOf \left(\textit{\_Z}^{8}-5 \textit{\_Z}^{4}+1\right)+x \right)}{8 \RootOf \left(\textit{\_Z}^{8}-5 \textit{\_Z}^{4}+1\right)^{7}-20 \RootOf \left(\textit{\_Z}^{8}-5 \textit{\_Z}^{4}+1\right)^{3}}"," ",0,"1/4*sum((-_R^4+1)/(2*_R^7-5*_R^3)*ln(-_R+x),_R=RootOf(_Z^8-5*_Z^4+1))","C"
30,1,90,85,0.031000," ","int((-x^4+1)/(x^8-6*x^4+1),x)","\frac{\sqrt{2}\, \arctanh \left(\frac{x}{\sqrt{1+\sqrt{2}}}\right)}{8 \sqrt{1+\sqrt{2}}}+\frac{\sqrt{2}\, \arctanh \left(\frac{x}{\sqrt{\sqrt{2}-1}}\right)}{8 \sqrt{\sqrt{2}-1}}+\frac{\sqrt{2}\, \arctan \left(\frac{x}{\sqrt{1+\sqrt{2}}}\right)}{8 \sqrt{1+\sqrt{2}}}+\frac{\sqrt{2}\, \arctan \left(\frac{x}{\sqrt{\sqrt{2}-1}}\right)}{8 \sqrt{\sqrt{2}-1}}"," ",0,"1/8*2^(1/2)/(2^(1/2)-1)^(1/2)*arctan(1/(2^(1/2)-1)^(1/2)*x)+1/8*2^(1/2)/(1+2^(1/2))^(1/2)*arctanh(1/(1+2^(1/2))^(1/2)*x)+1/8*2^(1/2)/(1+2^(1/2))^(1/2)*arctan(1/(1+2^(1/2))^(1/2)*x)+1/8*2^(1/2)/(2^(1/2)-1)^(1/2)*arctanh(1/(2^(1/2)-1)^(1/2)*x)","A"
31,1,47,118,0.056000," ","int((-1+2*x^4+3^(1/2))/(x^8-x^4+1),x)","\frac{\left(2 \RootOf \left(\textit{\_Z}^{8}-\textit{\_Z}^{4}+1\right)^{4}-1+\sqrt{3}\right) \ln \left(-\RootOf \left(\textit{\_Z}^{8}-\textit{\_Z}^{4}+1\right)+x \right)}{8 \RootOf \left(\textit{\_Z}^{8}-\textit{\_Z}^{4}+1\right)^{7}-4 \RootOf \left(\textit{\_Z}^{8}-\textit{\_Z}^{4}+1\right)^{3}}"," ",0,"1/4*sum(1/(2*_R^7-_R^3)*(-1+2*_R^4+3^(1/2))*ln(-_R+x),_R=RootOf(_Z^8-_Z^4+1))","C"
32,1,62,150,0.045000," ","int((1+x^4*(1+3^(1/2)))/(x^8-x^4+1),x)","\frac{\left(2 \RootOf \left(\textit{\_Z}^{8}-\textit{\_Z}^{4}+1\right)^{4}+2 \sqrt{3}\, \RootOf \left(\textit{\_Z}^{8}-\textit{\_Z}^{4}+1\right)^{4}+\left(1+\sqrt{3}\right) \left(\sqrt{3}-1\right)\right) \ln \left(-\RootOf \left(\textit{\_Z}^{8}-\textit{\_Z}^{4}+1\right)+x \right)}{16 \RootOf \left(\textit{\_Z}^{8}-\textit{\_Z}^{4}+1\right)^{7}-8 \RootOf \left(\textit{\_Z}^{8}-\textit{\_Z}^{4}+1\right)^{3}}"," ",0,"1/8*sum(1/(2*_R^7-_R^3)*(2*_R^4+2*3^(1/2)*_R^4+(1+3^(1/2))*(3^(1/2)-1))*ln(-_R+x),_R=RootOf(_Z^8-_Z^4+1))","C"
33,1,62,150,0.014000," ","int((3+x^4*(-3+3^(1/2))-2*3^(1/2))/(x^8-x^4+1),x)","\frac{\left(-6 \RootOf \left(\textit{\_Z}^{8}-\textit{\_Z}^{4}+1\right)^{4}+2 \sqrt{3}\, \RootOf \left(\textit{\_Z}^{8}-\textit{\_Z}^{4}+1\right)^{4}+\left(-3+\sqrt{3}\right) \left(\sqrt{3}-1\right)\right) \ln \left(-\RootOf \left(\textit{\_Z}^{8}-\textit{\_Z}^{4}+1\right)+x \right)}{16 \RootOf \left(\textit{\_Z}^{8}-\textit{\_Z}^{4}+1\right)^{7}-8 \RootOf \left(\textit{\_Z}^{8}-\textit{\_Z}^{4}+1\right)^{3}}"," ",0,"1/8*sum(1/(2*_R^7-_R^3)*(-6*_R^4+2*3^(1/2)*_R^4+(-3+3^(1/2))*(3^(1/2)-1))*ln(-_R+x),_R=RootOf(_Z^8-_Z^4+1))","C"
34,1,43,39,0.006000," ","int((d+e/x)/(c+a/x^2),x)","-\frac{a d \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}\, c}+\frac{d x}{c}+\frac{e \ln \left(c \,x^{2}+a \right)}{2 c}"," ",0,"d*x/c+1/2*e*ln(c*x^2+a)/c-1/c*a*d/(a*c)^(1/2)*arctan(c*x/(a*c)^(1/2))","A"
35,1,161,80,0.003000," ","int((d+e/x)/(c+a/x^2+b/x),x)","-\frac{2 a d \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c}+\frac{b^{2} d \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{2}}-\frac{b e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c}-\frac{b d \ln \left(c \,x^{2}+b x +a \right)}{2 c^{2}}+\frac{d x}{c}+\frac{e \ln \left(c \,x^{2}+b x +a \right)}{2 c}"," ",0,"1/c*d*x-1/2/c^2*ln(c*x^2+b*x+a)*b*d+1/2/c*ln(c*x^2+b*x+a)*e-2/c/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*d+1/c^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^2*d-1/c/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*e","A"
36,1,266,172,0.006000," ","int((d+e/x^2)/(c+a/x^4),x)","\frac{d x}{c}-\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, d \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{4 c}-\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, d \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{4 c}-\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, d \ln \left(\frac{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{8 c}+\frac{\sqrt{2}\, e \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{4 \left(\frac{a}{c}\right)^{\frac{1}{4}} c}+\frac{\sqrt{2}\, e \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{4 \left(\frac{a}{c}\right)^{\frac{1}{4}} c}+\frac{\sqrt{2}\, e \ln \left(\frac{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{8 \left(\frac{a}{c}\right)^{\frac{1}{4}} c}"," ",0,"1/c*d*x-1/4/c*d*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)-1/8/c*d*(a/c)^(1/4)*2^(1/2)*ln((x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))-1/4/c*d*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)+1/8/c*e/(a/c)^(1/4)*2^(1/2)*ln((x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))+1/4/c*e/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)+1/4/c*e/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)","A"
37,1,560,171,0.027000," ","int((d+e/x^2)/(c+a/x^4+b/x^2),x)","\frac{\sqrt{2}\, a d \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{2}\, a d \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{2}\, b^{2} d \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, c}-\frac{\sqrt{2}\, b^{2} d \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, c}+\frac{\sqrt{2}\, b e \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{2}\, b e \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{2}\, b d \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, c}-\frac{\sqrt{2}\, b d \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, c}-\frac{\sqrt{2}\, e \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{2}\, e \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{d x}{c}"," ",0,"1/c*d*x+1/2/c*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b*d-1/2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*e+1/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*a*d-1/2/(-4*a*c+b^2)^(1/2)/c*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^2*d+1/2/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b*e-1/2/c*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b*d+1/2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*e+1/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*a*d-1/2/(-4*a*c+b^2)^(1/2)/c*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^2*d+1/2/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b*e","B"
38,1,334,213,0.084000," ","int((d+e/x^3)/(c+a/x^6),x)","-\frac{\left(\frac{a}{c}\right)^{\frac{7}{6}} \sqrt{3}\, d \ln \left(x^{2}+\sqrt{3}\, \left(\frac{a}{c}\right)^{\frac{1}{6}} x +\left(\frac{a}{c}\right)^{\frac{1}{3}}\right)}{12 a}+\frac{\left(\frac{a}{c}\right)^{\frac{2}{3}} \sqrt{3}\, e \arctan \left(\frac{2 x}{\left(\frac{a}{c}\right)^{\frac{1}{6}}}-\sqrt{3}\right)}{6 a}-\frac{\left(\frac{a}{c}\right)^{\frac{2}{3}} \sqrt{3}\, e \arctan \left(\frac{2 x}{\left(\frac{a}{c}\right)^{\frac{1}{6}}}+\sqrt{3}\right)}{6 a}-\frac{\left(\frac{a}{c}\right)^{\frac{2}{3}} e \ln \left(x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{3}}\right)}{6 a}+\frac{\left(\frac{a}{c}\right)^{\frac{2}{3}} e \ln \left(x^{2}-\sqrt{3}\, \left(\frac{a}{c}\right)^{\frac{1}{6}} x +\left(\frac{a}{c}\right)^{\frac{1}{3}}\right)}{12 a}+\frac{\left(\frac{a}{c}\right)^{\frac{2}{3}} e \ln \left(x^{2}+\sqrt{3}\, \left(\frac{a}{c}\right)^{\frac{1}{6}} x +\left(\frac{a}{c}\right)^{\frac{1}{3}}\right)}{12 a}+\frac{d x}{c}-\frac{\left(\frac{a}{c}\right)^{\frac{1}{6}} d \arctan \left(\frac{x}{\left(\frac{a}{c}\right)^{\frac{1}{6}}}\right)}{3 c}-\frac{\left(\frac{a}{c}\right)^{\frac{1}{6}} d \arctan \left(\frac{2 x}{\left(\frac{a}{c}\right)^{\frac{1}{6}}}-\sqrt{3}\right)}{6 c}-\frac{\left(\frac{a}{c}\right)^{\frac{1}{6}} d \arctan \left(\frac{2 x}{\left(\frac{a}{c}\right)^{\frac{1}{6}}}+\sqrt{3}\right)}{6 c}+\frac{\sqrt{3}\, \left(\frac{a}{c}\right)^{\frac{1}{6}} d \ln \left(x^{2}-\sqrt{3}\, \left(\frac{a}{c}\right)^{\frac{1}{6}} x +\left(\frac{a}{c}\right)^{\frac{1}{3}}\right)}{12 c}"," ",0,"1/c*d*x-1/12*(a/c)^(7/6)/a*ln(x^2+3^(1/2)*(a/c)^(1/6)*x+(a/c)^(1/3))*3^(1/2)*d+1/12*(a/c)^(2/3)/a*e*ln(x^2+3^(1/2)*(a/c)^(1/6)*x+(a/c)^(1/3))-1/6/c*(a/c)^(1/6)*arctan(2/(a/c)^(1/6)*x+3^(1/2))*d-1/6*(a/c)^(2/3)*3^(1/2)/a*e*arctan(2/(a/c)^(1/6)*x+3^(1/2))+1/12*(a/c)^(2/3)/a*e*ln(x^2-3^(1/2)*(a/c)^(1/6)*x+(a/c)^(1/3))+1/12/c*ln(x^2-3^(1/2)*(a/c)^(1/6)*x+(a/c)^(1/3))*3^(1/2)*(a/c)^(1/6)*d+1/6*(a/c)^(2/3)*3^(1/2)/a*e*arctan(2/(a/c)^(1/6)*x-3^(1/2))-1/6/c*(a/c)^(1/6)*arctan(2/(a/c)^(1/6)*x-3^(1/2))*d-1/6*(a/c)^(2/3)/a*e*ln(x^2+(a/c)^(1/3))-1/3/c*(a/c)^(1/6)*d*arctan(1/(a/c)^(1/6)*x)","A"
39,1,67,577,0.016000," ","int((d+e/x^3)/(c+a/x^6+b/x^3),x)","\frac{d x}{c}+\frac{\left(\left(-b d +c e \right) \RootOf \left(\textit{\_Z}^{6} c +\textit{\_Z}^{3} b +a \right)^{3}-a d \right) \ln \left(-\RootOf \left(\textit{\_Z}^{6} c +\textit{\_Z}^{3} b +a \right)+x \right)}{3 c \left(2 \RootOf \left(\textit{\_Z}^{6} c +\textit{\_Z}^{3} b +a \right)^{5} c +\RootOf \left(\textit{\_Z}^{6} c +\textit{\_Z}^{3} b +a \right)^{2} b \right)}"," ",0,"1/c*d*x+1/3/c*sum(((-b*d+c*e)*_R^3-a*d)/(2*_R^5*c+_R^2*b)*ln(-_R+x),_R=RootOf(_Z^6*c+_Z^3*b+a))","C"
40,1,45,517,0.004000," ","int((d+e/x^4)/(c+a/x^8),x)","\frac{d x}{c}+\frac{\left(\RootOf \left(\textit{\_Z}^{8} c +a \right)^{4} c e -a d \right) \ln \left(-\RootOf \left(\textit{\_Z}^{8} c +a \right)+x \right)}{8 c^{2} \RootOf \left(\textit{\_Z}^{8} c +a \right)^{7}}"," ",0,"1/c*d*x+1/8/c^2*sum((_R^4*c*e-a*d)/_R^7*ln(-_R+x),_R=RootOf(_Z^8*c+a))","C"
41,1,67,351,0.007000," ","int((d+e/x^4)/(c+a/x^8+b/x^4),x)","\frac{d x}{c}+\frac{\left(\left(-b d +c e \right) \RootOf \left(\textit{\_Z}^{8} c +b \,\textit{\_Z}^{4}+a \right)^{4}-a d \right) \ln \left(-\RootOf \left(\textit{\_Z}^{8} c +b \,\textit{\_Z}^{4}+a \right)+x \right)}{4 c \left(2 \RootOf \left(\textit{\_Z}^{8} c +b \,\textit{\_Z}^{4}+a \right)^{7} c +\RootOf \left(\textit{\_Z}^{8} c +b \,\textit{\_Z}^{4}+a \right)^{3} b \right)}"," ",0,"1/c*d*x+1/4/c*sum(((-b*d+c*e)*_R^4-a*d)/(2*_R^7*c+_R^3*b)*ln(-_R+x),_R=RootOf(_Z^8*c+_Z^4*b+a))","C"
42,0,0,137,0.105000," ","int((d+e*x^n)^3/(a+c*x^(2*n)),x)","\int \frac{\left(e \,x^{n}+d \right)^{3}}{c \,x^{2 n}+a}\, dx"," ",0,"int((d+e*x^n)^3/(a+c*x^(2*n)),x)","F"
43,0,0,103,0.089000," ","int((e*x^n+d)^2/(c*x^(2*n)+a),x)","\int \frac{\left(e \,x^{n}+d \right)^{2}}{c \,x^{2 n}+a}\, dx"," ",0,"int((e*x^n+d)^2/(c*x^(2*n)+a),x)","F"
44,0,0,79,0.084000," ","int((e*x^n+d)/(c*x^(2*n)+a),x)","\int \frac{e \,x^{n}+d}{c \,x^{2 n}+a}\, dx"," ",0,"int((e*x^n+d)/(c*x^(2*n)+a),x)","F"
45,0,0,150,0.104000," ","int(1/(e*x^n+d)/(c*x^(2*n)+a),x)","\int \frac{1}{\left(e \,x^{n}+d \right) \left(c \,x^{2 n}+a \right)}\, dx"," ",0,"int(1/(e*x^n+d)/(c*x^(2*n)+a),x)","F"
46,0,0,205,0.167000," ","int(1/(e*x^n+d)^2/(c*x^(2*n)+a),x)","\int \frac{1}{\left(e \,x^{n}+d \right)^{2} \left(c \,x^{2 n}+a \right)}\, dx"," ",0,"int(1/(e*x^n+d)^2/(c*x^(2*n)+a),x)","F"
47,0,0,77,0.083000," ","int((e*x^n+d)/(a-c*x^(2*n)),x)","\int \frac{e \,x^{n}+d}{-c \,x^{2 n}+a}\, dx"," ",0,"int((e*x^n+d)/(a-c*x^(2*n)),x)","F"
48,0,0,274,0.087000," ","int((e*x^n+d)^3/(c*x^(2*n)+a)^2,x)","\int \frac{\left(e \,x^{n}+d \right)^{3}}{\left(c \,x^{2 n}+a \right)^{2}}\, dx"," ",0,"int((e*x^n+d)^3/(c*x^(2*n)+a)^2,x)","F"
49,0,0,193,0.086000," ","int((e*x^n+d)^2/(c*x^(2*n)+a)^2,x)","\int \frac{\left(e \,x^{n}+d \right)^{2}}{\left(c \,x^{2 n}+a \right)^{2}}\, dx"," ",0,"int((e*x^n+d)^2/(c*x^(2*n)+a)^2,x)","F"
50,0,0,124,0.089000," ","int((e*x^n+d)/(c*x^(2*n)+a)^2,x)","\int \frac{e \,x^{n}+d}{\left(c \,x^{2 n}+a \right)^{2}}\, dx"," ",0,"int((e*x^n+d)/(c*x^(2*n)+a)^2,x)","F"
51,0,0,321,0.156000," ","int(1/(e*x^n+d)/(c*x^(2*n)+a)^2,x)","\int \frac{1}{\left(e \,x^{n}+d \right) \left(c \,x^{2 n}+a \right)^{2}}\, dx"," ",0,"int(1/(e*x^n+d)/(c*x^(2*n)+a)^2,x)","F"
52,0,0,402,0.178000," ","int(1/(e*x^n+d)^2/(c*x^(2*n)+a)^2,x)","\int \frac{1}{\left(e \,x^{n}+d \right)^{2} \left(c \,x^{2 n}+a \right)^{2}}\, dx"," ",0,"int(1/(e*x^n+d)^2/(c*x^(2*n)+a)^2,x)","F"
53,0,0,402,0.103000," ","int((e*x^n+d)^3/(c*x^(2*n)+a)^3,x)","\int \frac{\left(e \,x^{n}+d \right)^{3}}{\left(c \,x^{2 n}+a \right)^{3}}\, dx"," ",0,"int((e*x^n+d)^3/(c*x^(2*n)+a)^3,x)","F"
54,0,0,258,0.102000," ","int((e*x^n+d)^2/(c*x^(2*n)+a)^3,x)","\int \frac{\left(e \,x^{n}+d \right)^{2}}{\left(c \,x^{2 n}+a \right)^{3}}\, dx"," ",0,"int((e*x^n+d)^2/(c*x^(2*n)+a)^3,x)","F"
55,0,0,172,0.098000," ","int((e*x^n+d)/(c*x^(2*n)+a)^3,x)","\int \frac{e \,x^{n}+d}{\left(c \,x^{2 n}+a \right)^{3}}\, dx"," ",0,"int((e*x^n+d)/(c*x^(2*n)+a)^3,x)","F"
56,0,0,558,0.202000," ","int(1/(e*x^n+d)/(c*x^(2*n)+a)^3,x)","\int \frac{1}{\left(e \,x^{n}+d \right) \left(c \,x^{2 n}+a \right)^{3}}\, dx"," ",0,"int(1/(e*x^n+d)/(c*x^(2*n)+a)^3,x)","F"
57,0,0,681,0.234000," ","int(1/(e*x^n+d)^2/(c*x^(2*n)+a)^3,x)","\int \frac{1}{\left(e \,x^{n}+d \right)^{2} \left(c \,x^{2 n}+a \right)^{3}}\, dx"," ",0,"int(1/(e*x^n+d)^2/(c*x^(2*n)+a)^3,x)","F"
58,0,0,151,0.099000," ","int(1/(e*x^n+d)/(c*x^(2*n)+a)^(1/2),x)","\int \frac{1}{\left(e \,x^{n}+d \right) \sqrt{c \,x^{2 n}+a}}\, dx"," ",0,"int(1/(e*x^n+d)/(c*x^(2*n)+a)^(1/2),x)","F"
59,0,0,23,0.155000," ","int((e*x^n+d)^q*(c*x^(2*n)+a)^p,x)","\int \left(c \,x^{2 n}+a \right)^{p} \left(e \,x^{n}+d \right)^{q}\, dx"," ",0,"int((e*x^n+d)^q*(c*x^(2*n)+a)^p,x)","F"
60,0,0,291,0.127000," ","int((e*x^n+d)^3*(c*x^(2*n)+a)^p,x)","\int \left(e \,x^{n}+d \right)^{3} \left(c \,x^{2 n}+a \right)^{p}\, dx"," ",0,"int((e*x^n+d)^3*(c*x^(2*n)+a)^p,x)","F"
61,0,0,211,0.108000," ","int((e*x^n+d)^2*(c*x^(2*n)+a)^p,x)","\int \left(e \,x^{n}+d \right)^{2} \left(c \,x^{2 n}+a \right)^{p}\, dx"," ",0,"int((e*x^n+d)^2*(c*x^(2*n)+a)^p,x)","F"
62,0,0,131,0.111000," ","int((e*x^n+d)*(c*x^(2*n)+a)^p,x)","\int \left(e \,x^{n}+d \right) \left(c \,x^{2 n}+a \right)^{p}\, dx"," ",0,"int((e*x^n+d)*(c*x^(2*n)+a)^p,x)","F"
63,0,0,159,0.112000," ","int((c*x^(2*n)+a)^p/(e*x^n+d),x)","\int \frac{\left(c \,x^{2 n}+a \right)^{p}}{e \,x^{n}+d}\, dx"," ",0,"int((c*x^(2*n)+a)^p/(e*x^n+d),x)","F"
64,0,0,249,0.103000," ","int((c*x^(2*n)+a)^p/(e*x^n+d)^2,x)","\int \frac{\left(c \,x^{2 n}+a \right)^{p}}{\left(e \,x^{n}+d \right)^{2}}\, dx"," ",0,"int((c*x^(2*n)+a)^p/(e*x^n+d)^2,x)","F"
65,0,0,341,0.102000," ","int((c*x^(2*n)+a)^p/(e*x^n+d)^3,x)","\int \frac{\left(c \,x^{2 n}+a \right)^{p}}{\left(e \,x^{n}+d \right)^{3}}\, dx"," ",0,"int((c*x^(2*n)+a)^p/(e*x^n+d)^3,x)","F"
66,1,66,62,0.013000," ","int((e*x^n+d)*(b*x^n+c*x^(2*n)+a),x)","\frac{c e x \,{\mathrm e}^{3 n \ln \left(x \right)}}{3 n +1}+a d x +\frac{\left(a e +b d \right) x \,{\mathrm e}^{n \ln \left(x \right)}}{n +1}+\frac{\left(b e +c d \right) x \,{\mathrm e}^{2 n \ln \left(x \right)}}{2 n +1}"," ",0,"a*d*x+(a*e+b*d)/(n+1)*x*exp(n*ln(x))+(b*e+c*d)/(2*n+1)*x*exp(n*ln(x))^2+c*e/(3*n+1)*x*exp(n*ln(x))^3","A"
67,1,138,132,0.015000," ","int((e*x^n+d)*(b*x^n+c*x^(2*n)+a)^2,x)","\frac{c^{2} e x \,{\mathrm e}^{5 n \ln \left(x \right)}}{5 n +1}+a^{2} d x +\frac{\left(a e +2 b d \right) a x \,{\mathrm e}^{n \ln \left(x \right)}}{n +1}+\frac{\left(2 b e +c d \right) c x \,{\mathrm e}^{4 n \ln \left(x \right)}}{4 n +1}+\frac{\left(2 a b e +2 a c d +b^{2} d \right) x \,{\mathrm e}^{2 n \ln \left(x \right)}}{2 n +1}+\frac{\left(2 a c e +b^{2} e +2 b c d \right) x \,{\mathrm e}^{3 n \ln \left(x \right)}}{3 n +1}"," ",0,"a^2*d*x+(2*a*c*e+b^2*e+2*b*c*d)/(3*n+1)*x*exp(n*ln(x))^3+(2*a*b*e+2*a*c*d+b^2*d)/(2*n+1)*x*exp(n*ln(x))^2+a*(a*e+2*b*d)/(n+1)*x*exp(n*ln(x))+c*(2*b*e+c*d)/(1+4*n)*x*exp(n*ln(x))^4+e*c^2/(1+5*n)*x*exp(n*ln(x))^5","A"
68,1,226,218,0.020000," ","int((e*x^n+d)*(b*x^n+c*x^(2*n)+a)^3,x)","\frac{c^{3} e x \,{\mathrm e}^{7 n \ln \left(x \right)}}{7 n +1}+a^{3} d x +\frac{\left(a e +3 b d \right) a^{2} x \,{\mathrm e}^{n \ln \left(x \right)}}{n +1}+\frac{\left(3 b e +c d \right) c^{2} x \,{\mathrm e}^{6 n \ln \left(x \right)}}{6 n +1}+\frac{3 \left(a b e +a c d +b^{2} d \right) a x \,{\mathrm e}^{2 n \ln \left(x \right)}}{2 n +1}+\frac{3 \left(a c e +b^{2} e +b c d \right) c x \,{\mathrm e}^{5 n \ln \left(x \right)}}{5 n +1}+\frac{\left(3 a^{2} c e +3 a \,b^{2} e +6 a b c d +b^{3} d \right) x \,{\mathrm e}^{3 n \ln \left(x \right)}}{3 n +1}+\frac{\left(6 a b c e +3 a \,c^{2} d +b^{3} e +3 b^{2} c d \right) x \,{\mathrm e}^{4 n \ln \left(x \right)}}{4 n +1}"," ",0,"a^3*d*x+(6*a*b*c*e+3*a*c^2*d+b^3*e+3*b^2*c*d)/(4*n+1)*x*exp(n*ln(x))^4+(3*a^2*c*e+3*a*b^2*e+6*a*b*c*d+b^3*d)/(3*n+1)*x*exp(n*ln(x))^3+a^2*(a*e+3*b*d)/(n+1)*x*exp(n*ln(x))+c^2*(3*b*e+c*d)/(1+6*n)*x*exp(n*ln(x))^6+c^3*e/(1+7*n)*x*exp(n*ln(x))^7+3*a*(a*b*e+a*c*d+b^2*d)/(2*n+1)*x*exp(n*ln(x))^2+3*c*(a*c*e+b^2*e+b*c*d)/(5*n+1)*x*exp(n*ln(x))^5","A"
69,0,0,300,0.067000," ","int((e*x^n+d)^3/(b*x^n+c*x^(2*n)+a),x)","\int \frac{\left(e \,x^{n}+d \right)^{3}}{b \,x^{n}+c \,x^{2 n}+a}\, dx"," ",0,"int((e*x^n+d)^3/(b*x^n+c*x^(2*n)+a),x)","F"
70,0,0,216,0.043000," ","int((e*x^n+d)^2/(b*x^n+c*x^(2*n)+a),x)","\int \frac{\left(e \,x^{n}+d \right)^{2}}{b \,x^{n}+c \,x^{2 n}+a}\, dx"," ",0,"int((e*x^n+d)^2/(b*x^n+c*x^(2*n)+a),x)","F"
71,0,0,144,0.026000," ","int((e*x^n+d)/(b*x^n+c*x^(2*n)+a),x)","\int \frac{e \,x^{n}+d}{b \,x^{n}+c \,x^{2 n}+a}\, dx"," ",0,"int((e*x^n+d)/(b*x^n+c*x^(2*n)+a),x)","F"
72,0,0,237,0.092000," ","int(1/(e*x^n+d)/(b*x^n+c*x^(2*n)+a),x)","\int \frac{1}{\left(e \,x^{n}+d \right) \left(b \,x^{n}+c \,x^{2 n}+a \right)}\, dx"," ",0,"int(1/(e*x^n+d)/(b*x^n+c*x^(2*n)+a),x)","F"
73,0,0,360,0.174000," ","int(1/(e*x^n+d)^2/(b*x^n+c*x^(2*n)+a),x)","\int \frac{1}{\left(e \,x^{n}+d \right)^{2} \left(b \,x^{n}+c \,x^{2 n}+a \right)}\, dx"," ",0,"int(1/(e*x^n+d)^2/(b*x^n+c*x^(2*n)+a),x)","F"
74,0,0,538,0.200000," ","int(1/(e*x^n+d)^3/(b*x^n+c*x^(2*n)+a),x)","\int \frac{1}{\left(e \,x^{n}+d \right)^{3} \left(b \,x^{n}+c \,x^{2 n}+a \right)}\, dx"," ",0,"int(1/(e*x^n+d)^3/(b*x^n+c*x^(2*n)+a),x)","F"
75,0,0,733,0.075000," ","int((e*x^n+d)^3/(b*x^n+c*x^(2*n)+a)^2,x)","\int \frac{\left(e \,x^{n}+d \right)^{3}}{\left(b \,x^{n}+c \,x^{2 n}+a \right)^{2}}\, dx"," ",0,"int((e*x^n+d)^3/(b*x^n+c*x^(2*n)+a)^2,x)","F"
76,0,0,531,0.072000," ","int((e*x^n+d)^2/(b*x^n+c*x^(2*n)+a)^2,x)","\int \frac{\left(e \,x^{n}+d \right)^{2}}{\left(b \,x^{n}+c \,x^{2 n}+a \right)^{2}}\, dx"," ",0,"int((e*x^n+d)^2/(b*x^n+c*x^(2*n)+a)^2,x)","F"
77,0,0,350,0.065000," ","int((e*x^n+d)/(b*x^n+c*x^(2*n)+a)^2,x)","\int \frac{e \,x^{n}+d}{\left(b \,x^{n}+c \,x^{2 n}+a \right)^{2}}\, dx"," ",0,"int((e*x^n+d)/(b*x^n+c*x^(2*n)+a)^2,x)","F"
78,0,0,708,0.197000," ","int(1/(e*x^n+d)/(b*x^n+c*x^(2*n)+a)^2,x)","\int \frac{1}{\left(e \,x^{n}+d \right) \left(b \,x^{n}+c \,x^{2 n}+a \right)^{2}}\, dx"," ",0,"int(1/(e*x^n+d)/(b*x^n+c*x^(2*n)+a)^2,x)","F"
79,0,0,1097,0.256000," ","int(1/(e*x^n+d)^2/(b*x^n+c*x^(2*n)+a)^2,x)","\int \frac{1}{\left(e \,x^{n}+d \right)^{2} \left(b \,x^{n}+c \,x^{2 n}+a \right)^{2}}\, dx"," ",0,"int(1/(e*x^n+d)^2/(b*x^n+c*x^(2*n)+a)^2,x)","F"
80,0,0,1674,0.127000," ","int((e*x^n+d)^3/(b*x^n+c*x^(2*n)+a)^3,x)","\int \frac{\left(e \,x^{n}+d \right)^{3}}{\left(b \,x^{n}+c \,x^{2 n}+a \right)^{3}}\, dx"," ",0,"int((e*x^n+d)^3/(b*x^n+c*x^(2*n)+a)^3,x)","F"
81,0,0,1165,0.122000," ","int((e*x^n+d)^2/(b*x^n+c*x^(2*n)+a)^3,x)","\int \frac{\left(e \,x^{n}+d \right)^{2}}{\left(b \,x^{n}+c \,x^{2 n}+a \right)^{3}}\, dx"," ",0,"int((e*x^n+d)^2/(b*x^n+c*x^(2*n)+a)^3,x)","F"
82,0,0,685,0.112000," ","int((e*x^n+d)/(b*x^n+c*x^(2*n)+a)^3,x)","\int \frac{e \,x^{n}+d}{\left(b \,x^{n}+c \,x^{2 n}+a \right)^{3}}\, dx"," ",0,"int((e*x^n+d)/(b*x^n+c*x^(2*n)+a)^3,x)","F"
83,0,0,1654,0.394000," ","int(1/(e*x^n+d)/(b*x^n+c*x^(2*n)+a)^3,x)","\int \frac{1}{\left(e \,x^{n}+d \right) \left(b \,x^{n}+c \,x^{2 n}+a \right)^{3}}\, dx"," ",0,"int(1/(e*x^n+d)/(b*x^n+c*x^(2*n)+a)^3,x)","F"
84,0,0,2397,0.531000," ","int(1/(e*x^n+d)^2/(b*x^n+c*x^(2*n)+a)^3,x)","\int \frac{1}{\left(e \,x^{n}+d \right)^{2} \left(b \,x^{n}+c \,x^{2 n}+a \right)^{3}}\, dx"," ",0,"int(1/(e*x^n+d)^2/(b*x^n+c*x^(2*n)+a)^3,x)","F"
85,0,0,256,0.066000," ","int((e*x^n+d)*(b*x^n+c*x^(2*n)+a)^(1/2),x)","\int \left(e \,x^{n}+d \right) \sqrt{b \,x^{n}+c \,x^{2 n}+a}\, dx"," ",0,"int((e*x^n+d)*(b*x^n+c*x^(2*n)+a)^(1/2),x)","F"
86,0,0,258,0.066000," ","int((e*x^n+d)*(b*x^n+c*x^(2*n)+a)^(3/2),x)","\int \left(e \,x^{n}+d \right) \left(b \,x^{n}+c \,x^{2 n}+a \right)^{\frac{3}{2}}\, dx"," ",0,"int((e*x^n+d)*(b*x^n+c*x^(2*n)+a)^(3/2),x)","F"
87,0,0,256,0.025000," ","int((e*x^n+d)/(b*x^n+c*x^(2*n)+a)^(1/2),x)","\int \frac{e \,x^{n}+d}{\sqrt{b \,x^{n}+c \,x^{2 n}+a}}\, dx"," ",0,"int((e*x^n+d)/(b*x^n+c*x^(2*n)+a)^(1/2),x)","F"
88,0,0,262,0.014000," ","int((e*x^n+d)/(b*x^n+c*x^(2*n)+a)^(3/2),x)","\int \frac{e \,x^{n}+d}{\left(b \,x^{n}+c \,x^{2 n}+a \right)^{\frac{3}{2}}}\, dx"," ",0,"int((e*x^n+d)/(b*x^n+c*x^(2*n)+a)^(3/2),x)","F"
89,0,0,262,0.013000," ","int((e*x^n+d)/(b*x^n+c*x^(2*n)+a)^(5/2),x)","\int \frac{e \,x^{n}+d}{\left(b \,x^{n}+c \,x^{2 n}+a \right)^{\frac{5}{2}}}\, dx"," ",0,"int((e*x^n+d)/(b*x^n+c*x^(2*n)+a)^(5/2),x)","F"
90,0,0,28,0.137000," ","int((e*x^n+d)^q*(b*x^n+c*x^(2*n)+a)^p,x)","\int \left(e \,x^{n}+d \right)^{q} \left(b \,x^{n}+c \,x^{2 n}+a \right)^{p}\, dx"," ",0,"int((e*x^n+d)^q*(b*x^n+c*x^(2*n)+a)^p,x)","F"
91,0,0,574,0.128000," ","int((e*x^n+d)^3*(b*x^n+c*x^(2*n)+a)^p,x)","\int \left(e \,x^{n}+d \right)^{3} \left(b \,x^{n}+c \,x^{2 n}+a \right)^{p}\, dx"," ",0,"int((e*x^n+d)^3*(b*x^n+c*x^(2*n)+a)^p,x)","F"
92,0,0,423,0.099000," ","int((e*x^n+d)^2*(b*x^n+c*x^(2*n)+a)^p,x)","\int \left(e \,x^{n}+d \right)^{2} \left(b \,x^{n}+c \,x^{2 n}+a \right)^{p}\, dx"," ",0,"int((e*x^n+d)^2*(b*x^n+c*x^(2*n)+a)^p,x)","F"
93,0,0,272,0.109000," ","int((e*x^n+d)*(b*x^n+c*x^(2*n)+a)^p,x)","\int \left(e \,x^{n}+d \right) \left(b \,x^{n}+c \,x^{2 n}+a \right)^{p}\, dx"," ",0,"int((e*x^n+d)*(b*x^n+c*x^(2*n)+a)^p,x)","F"
94,0,0,28,0.105000," ","int((b*x^n+c*x^(2*n)+a)^p/(e*x^n+d),x)","\int \frac{\left(b \,x^{n}+c \,x^{2 n}+a \right)^{p}}{e \,x^{n}+d}\, dx"," ",0,"int((b*x^n+c*x^(2*n)+a)^p/(e*x^n+d),x)","F"
95,0,0,28,0.088000," ","int((b*x^n+c*x^(2*n)+a)^p/(e*x^n+d)^2,x)","\int \frac{\left(b \,x^{n}+c \,x^{2 n}+a \right)^{p}}{\left(e \,x^{n}+d \right)^{2}}\, dx"," ",0,"int((b*x^n+c*x^(2*n)+a)^p/(e*x^n+d)^2,x)","F"
96,0,0,28,0.083000," ","int((b*x^n+c*x^(2*n)+a)^p/(e*x^n+d)^3,x)","\int \frac{\left(b \,x^{n}+c \,x^{2 n}+a \right)^{p}}{\left(e \,x^{n}+d \right)^{3}}\, dx"," ",0,"int((b*x^n+c*x^(2*n)+a)^p/(e*x^n+d)^3,x)","F"