lst:=[[x^2016*(2017+2018*x)/(1+(x^2018+x^2017)^2),x,0,arctan(x^2017*(1+x)),1],
[x^2016*(2017+2018*x)/(1+x^4034*(1+x)^2),x,0,arctan(x^2017*(1+x)),1],
[x^2016*(2017+2018*x)/(x^4036+2*x^4035+x^4034+1),x,0,arctan(x^2017*(1+x)),1],
[(x^3+5*x^2-4)/x^2,x,2,4/x+5*x+1/2*x^2,1],
[(x^3+x^2-2)/x^4,x,2,2/3/x^3-1/x+ln(x),1],
[(x^3+x+1)/x^2,x,4,-1/x+1/2*x^2+ln(x),1],
[(x^3-3*x^2+3*x-1)/x^2,x,3,1/x-3*x+1/2*x^2+3*ln(x),1],
[x^4/(b^3*x^6+9*a*b^2*x^4+27*a^2*c*x^3+27*a^2*b*x^2+27*a^3),x,14,-1/3*(-1)^(1/3)*(2*(-1)^(1/3)*b+3*a^(1/3)*c^(2/3))*arctan((3*(-1)^(1/3)*a^(2/3)*c^(1/3)-2*b*x)/sqrt(3)/sqrt(a)/sqrt(4*b-3*(-1)^(2/3)*a^(1/3)*c^(2/3)))/sqrt(3)/(1+(-1)^(1/3))^2/a^(5/6)/b^2/sqrt(4*b-3*(-1)^(2/3)*a^(1/3)*c^(2/3))/c^(2/3)-1/9*(2*b-3*a^(1/3)*c^(2/3))*arctan((3*a^(2/3)*c^(1/3)+2*b*x)/sqrt(3)/sqrt(a)/sqrt(4*b-3*a^(1/3)*c^(2/3)))/sqrt(3)/a^(5/6)/b^2/sqrt(4*b-3*a^(1/3)*c^(2/3))/c^(2/3)-1/3*(-1)^(2/3)*(2*b+3*(-1)^(1/3)*a^(1/3)*c^(2/3))*arctan((3*(-1)^(2/3)*a^(2/3)*c^(1/3)+2*b*x)/sqrt(3)/sqrt(a)/sqrt(4*b+3*(-1)^(1/3)*a^(1/3)*c^(2/3)))/sqrt(3)/(1-(-1)^(1/3))/(1+(-1)^(1/3))^2/a^(5/6)/b^2/sqrt(4*b+3*(-1)^(1/3)*a^(1/3)*c^(2/3))/c^(2/3)-1/18*ln(3*a+3*a^(2/3)*c^(1/3)*x+b*x^2)/a^(2/3)/b^2/c^(1/3)+1/6*ln(3*a-3*(-1)^(1/3)*a^(2/3)*c^(1/3)*x+b*x^2)/(1+(-1)^(1/3))^2/a^(2/3)/b^2/c^(1/3)+1/18*(-1)^(1/3)*ln(3*a+3*(-1)^(2/3)*a^(2/3)*c^(1/3)*x+b*x^2)/a^(2/3)/b^2/c^(1/3),1],
[x^3/(b^3*x^6+9*a*b^2*x^4+27*a^2*c*x^3+27*a^2*b*x^2+27*a^3),x,14,-1/3*arctan((3*(-1)^(1/3)*a^(2/3)*c^(1/3)-2*b*x)/sqrt(3)/sqrt(a)/sqrt(4*b-3*(-1)^(2/3)*a^(1/3)*c^(2/3)))/sqrt(3)/(1+(-1)^(1/3))^2/a^(7/6)/b/sqrt(4*b-3*(-1)^(2/3)*a^(1/3)*c^(2/3))/c^(1/3)-1/9*arctan((3*a^(2/3)*c^(1/3)+2*b*x)/sqrt(3)/sqrt(a)/sqrt(4*b-3*a^(1/3)*c^(2/3)))/sqrt(3)/a^(7/6)/b/sqrt(4*b-3*a^(1/3)*c^(2/3))/c^(1/3)+1/3*(-1)^(1/3)*arctan((3*(-1)^(2/3)*a^(2/3)*c^(1/3)+2*b*x)/sqrt(3)/sqrt(a)/sqrt(4*b+3*(-1)^(1/3)*a^(1/3)*c^(2/3)))/sqrt(3)/(1-(-1)^(1/3))/(1+(-1)^(1/3))^2/a^(7/6)/b/sqrt(4*b+3*(-1)^(1/3)*a^(1/3)*c^(2/3))/c^(1/3)+1/54*ln(3*a+3*a^(2/3)*c^(1/3)*x+b*x^2)/a^(4/3)/b/c^(2/3)-1/18*(-1)^(2/3)*ln(3*a-3*(-1)^(1/3)*a^(2/3)*c^(1/3)*x+b*x^2)/(1+(-1)^(1/3))^2/a^(4/3)/b/c^(2/3)+1/54*(-1)^(2/3)*ln(3*a+3*(-1)^(2/3)*a^(2/3)*c^(1/3)*x+b*x^2)/a^(4/3)/b/c^(2/3),1],
[x^2/(b^3*x^6+9*a*b^2*x^4+27*a^2*c*x^3+27*a^2*b*x^2+27*a^3),x,8,2/9*(-1)^(2/3)*arctan((3*(-1)^(1/3)*a^(2/3)*c^(1/3)-2*b*x)/sqrt(3)/sqrt(a)/sqrt(4*b-3*(-1)^(2/3)*a^(1/3)*c^(2/3)))/sqrt(3)/(1+(-1)^(1/3))^2/a^(11/6)/sqrt(4*b-3*(-1)^(2/3)*a^(1/3)*c^(2/3))/c^(2/3)+2/27*arctan((3*a^(2/3)*c^(1/3)+2*b*x)/sqrt(3)/sqrt(a)/sqrt(4*b-3*a^(1/3)*c^(2/3)))/sqrt(3)/a^(11/6)/sqrt(4*b-3*a^(1/3)*c^(2/3))/c^(2/3)+2/9*(-1)^(2/3)*arctan((3*(-1)^(2/3)*a^(2/3)*c^(1/3)+2*b*x)/sqrt(3)/sqrt(a)/sqrt(4*b+3*(-1)^(1/3)*a^(1/3)*c^(2/3)))/sqrt(3)/(1-(-1)^(1/3))/(1+(-1)^(1/3))^2/a^(11/6)/sqrt(4*b+3*(-1)^(1/3)*a^(1/3)*c^(2/3))/c^(2/3),1],
[x/(b^3*x^6+9*a*b^2*x^4+27*a^2*c*x^3+27*a^2*b*x^2+27*a^3),x,14,-1/9*arctan((3*(-1)^(1/3)*a^(2/3)*c^(1/3)-2*b*x)/sqrt(3)/sqrt(a)/sqrt(4*b-3*(-1)^(2/3)*a^(1/3)*c^(2/3)))/sqrt(3)/(1+(-1)^(1/3))^2/a^(13/6)/sqrt(4*b-3*(-1)^(2/3)*a^(1/3)*c^(2/3))/c^(1/3)-1/27*arctan((3*a^(2/3)*c^(1/3)+2*b*x)/sqrt(3)/sqrt(a)/sqrt(4*b-3*a^(1/3)*c^(2/3)))/sqrt(3)/a^(13/6)/sqrt(4*b-3*a^(1/3)*c^(2/3))/c^(1/3)+1/9*(-1)^(1/3)*arctan((3*(-1)^(2/3)*a^(2/3)*c^(1/3)+2*b*x)/sqrt(3)/sqrt(a)/sqrt(4*b+3*(-1)^(1/3)*a^(1/3)*c^(2/3)))/sqrt(3)/(1-(-1)^(1/3))/(1+(-1)^(1/3))^2/a^(13/6)/sqrt(4*b+3*(-1)^(1/3)*a^(1/3)*c^(2/3))/c^(1/3)-1/162*ln(3*a+3*a^(2/3)*c^(1/3)*x+b*x^2)/a^(7/3)/c^(2/3)+1/54*(-1)^(2/3)*ln(3*a-3*(-1)^(1/3)*a^(2/3)*c^(1/3)*x+b*x^2)/(1+(-1)^(1/3))^2/a^(7/3)/c^(2/3)-1/162*(-1)^(2/3)*ln(3*a+3*(-1)^(2/3)*a^(2/3)*c^(1/3)*x+b*x^2)/a^(7/3)/c^(2/3),1],
[1/(b^3*x^6+9*a*b^2*x^4+27*a^2*c*x^3+27*a^2*b*x^2+27*a^3),x,14,-1/27*(-1)^(1/3)*(2*(-1)^(1/3)*b+3*a^(1/3)*c^(2/3))*arctan((3*(-1)^(1/3)*a^(2/3)*c^(1/3)-2*b*x)/sqrt(3)/sqrt(a)/sqrt(4*b-3*(-1)^(2/3)*a^(1/3)*c^(2/3)))/sqrt(3)/(1+(-1)^(1/3))^2/a^(17/6)/sqrt(4*b-3*(-1)^(2/3)*a^(1/3)*c^(2/3))/c^(2/3)-1/81*(2*b-3*a^(1/3)*c^(2/3))*arctan((3*a^(2/3)*c^(1/3)+2*b*x)/sqrt(3)/sqrt(a)/sqrt(4*b-3*a^(1/3)*c^(2/3)))/sqrt(3)/a^(17/6)/sqrt(4*b-3*a^(1/3)*c^(2/3))/c^(2/3)-1/27*(2*(-1)^(2/3)*b-3*a^(1/3)*c^(2/3))*arctan((3*(-1)^(2/3)*a^(2/3)*c^(1/3)+2*b*x)/sqrt(3)/sqrt(a)/sqrt(4*b+3*(-1)^(1/3)*a^(1/3)*c^(2/3)))/sqrt(3)/(1-(-1)^(1/3))/(1+(-1)^(1/3))^2/a^(17/6)/sqrt(4*b+3*(-1)^(1/3)*a^(1/3)*c^(2/3))/c^(2/3)+1/162*ln(3*a+3*a^(2/3)*c^(1/3)*x+b*x^2)/a^(8/3)/c^(1/3)-1/54*ln(3*a-3*(-1)^(1/3)*a^(2/3)*c^(1/3)*x+b*x^2)/(1+(-1)^(1/3))^2/a^(8/3)/c^(1/3)-1/162*(-1)^(1/3)*ln(3*a+3*(-1)^(2/3)*a^(2/3)*c^(1/3)*x+b*x^2)/a^(8/3)/c^(1/3),1],
[1/x/(b^3*x^6+9*a*b^2*x^4+27*a^2*c*x^3+27*a^2*b*x^2+27*a^3),x,14,1/9*(b-(-1)^(2/3)*a^(1/3)*c^(2/3))*arctan((3*(-1)^(1/3)*a^(2/3)*c^(1/3)-2*b*x)/sqrt(3)/sqrt(a)/sqrt(4*b-3*(-1)^(2/3)*a^(1/3)*c^(2/3)))/sqrt(3)/(1+(-1)^(1/3))^2/a^(19/6)/sqrt(4*b-3*(-1)^(2/3)*a^(1/3)*c^(2/3))/c^(1/3)+1/27*(b-a^(1/3)*c^(2/3))*arctan((3*a^(2/3)*c^(1/3)+2*b*x)/sqrt(3)/sqrt(a)/sqrt(4*b-3*a^(1/3)*c^(2/3)))/sqrt(3)/a^(19/6)/sqrt(4*b-3*a^(1/3)*c^(2/3))/c^(1/3)+1/9*(-1)^(2/3)*((-1)^(2/3)*b-a^(1/3)*c^(2/3))*arctan((3*(-1)^(2/3)*a^(2/3)*c^(1/3)+2*b*x)/sqrt(3)/sqrt(a)/sqrt(4*b+3*(-1)^(1/3)*a^(1/3)*c^(2/3)))/sqrt(3)/(1-(-1)^(1/3))/(1+(-1)^(1/3))^2/a^(19/6)/sqrt(4*b+3*(-1)^(1/3)*a^(1/3)*c^(2/3))/c^(1/3)+1/27*ln(x)/a^3-1/486*(3*a^(1/3)-b/c^(2/3))*ln(3*a+3*a^(2/3)*c^(1/3)*x+b*x^2)/a^(10/3)-1/972*(b+I*sqrt(3)*b+6*a^(1/3)*c^(2/3))*ln(3*a-3*(-1)^(1/3)*a^(2/3)*c^(1/3)*x+b*x^2)/a^(10/3)/c^(2/3)-1/486*(3*a^(1/3)-(-1)^(2/3)*b/c^(2/3))*ln(3*a+3*(-1)^(2/3)*a^(2/3)*c^(1/3)*x+b*x^2)/a^(10/3),1],
[1/x^2/(b^3*x^6+9*a*b^2*x^4+27*a^2*c*x^3+27*a^2*b*x^2+27*a^3),x,14,-1/27/a^3/x+1/81*(2*(-1)^(2/3)*b^2+12*(-1)^(1/3)*a^(1/3)*b*c^(2/3)+9*a^(2/3)*c^(4/3))*arctan((3*(-1)^(1/3)*a^(2/3)*c^(1/3)-2*b*x)/sqrt(3)/sqrt(a)/sqrt(4*b-3*(-1)^(2/3)*a^(1/3)*c^(2/3)))/sqrt(3)/(1+(-1)^(1/3))^2/a^(23/6)/sqrt(4*b-3*(-1)^(2/3)*a^(1/3)*c^(2/3))/c^(2/3)+1/243*(2*b^2-12*a^(1/3)*b*c^(2/3)+9*a^(2/3)*c^(4/3))*arctan((3*a^(2/3)*c^(1/3)+2*b*x)/sqrt(3)/sqrt(a)/sqrt(4*b-3*a^(1/3)*c^(2/3)))/sqrt(3)/a^(23/6)/sqrt(4*b-3*a^(1/3)*c^(2/3))/c^(2/3)+1/81*(-1)^(2/3)*(2*b^2+12*(-1)^(1/3)*a^(1/3)*b*c^(2/3)+9*(-1)^(2/3)*a^(2/3)*c^(4/3))*arctan((3*(-1)^(2/3)*a^(2/3)*c^(1/3)+2*b*x)/sqrt(3)/sqrt(a)/sqrt(4*b+3*(-1)^(1/3)*a^(1/3)*c^(2/3)))/sqrt(3)/(1-(-1)^(1/3))/(1+(-1)^(1/3))^2/a^(23/6)/sqrt(4*b+3*(-1)^(1/3)*a^(1/3)*c^(2/3))/c^(2/3)-1/486*(2*b-3*a^(1/3)*c^(2/3))*ln(3*a+3*a^(2/3)*c^(1/3)*x+b*x^2)/a^(11/3)/c^(1/3)+1/162*(2*b-3*(-1)^(2/3)*a^(1/3)*c^(2/3))*ln(3*a-3*(-1)^(1/3)*a^(2/3)*c^(1/3)*x+b*x^2)/(1+(-1)^(1/3))^2/a^(11/3)/c^(1/3)+1/486*(-1)^(1/3)*(2*b+3*(-1)^(1/3)*a^(1/3)*c^(2/3))*ln(3*a+3*(-1)^(2/3)*a^(2/3)*c^(1/3)*x+b*x^2)/a^(11/3)/c^(1/3),1],
[x^5/(x^6+18*x^4+324*x^3+108*x^2+216),x,14,-1/3*(-2)^(1/3)*(1+(-2)^(1/3)*3^(2/3))*arctan((3*(-2)^(2/3)*3^(1/3)+2*x)/sqrt(24+18*(-2)^(1/3)*3^(2/3)))*3^(1/6)/sqrt(8+9*I*2^(1/3)*3^(1/6)+3*2^(1/3)*3^(2/3))+1/2*3^(1/6)*2^(5/6)*(1-(-3)^(2/3)*2^(1/3))*arctan(2^(1/6)*(3*(-3)^(1/3)-2^(1/3)*x)/sqrt(12-9*(-3)^(2/3)*2^(1/3)))/(1+(-1)^(1/3))^2/sqrt(4-3*(-3)^(2/3)*2^(1/3))-1/6*(1-2^(1/3)*3^(2/3))*arctanh(2^(1/6)*(3*3^(1/3)+2^(1/3)*x)/sqrt(-12+9*2^(1/3)*3^(2/3)))*2^(5/6)*3^(1/6)/sqrt(-4+3*2^(1/3)*3^(2/3))+1/216*(36+2^(2/3)*3^(1/3)*(1+I*sqrt(3)))*ln(6-3*(-3)^(1/3)*2^(2/3)*x+x^2)+1/108*(18-(-2)^(2/3)*3^(1/3))*ln(6+3*(-2)^(2/3)*3^(1/3)*x+x^2)+1/108*(18-2^(2/3)*3^(1/3))*ln(6+3*2^(2/3)*3^(1/3)*x+x^2),1],
[x^4/(x^6+18*x^4+324*x^3+108*x^2+216),x,14,1/27*(-1)^(2/3)*(3*(-3)^(2/3)-2^(2/3))*arctan((3*(-3)^(1/3)*2^(2/3)-2*x)/sqrt(24-18*(-3)^(2/3)*2^(1/3)))*3^(5/6)/(1+(-1)^(1/3))^2/sqrt(8-6*(-3)^(2/3)*2^(1/3))-1/81*((-2)^(2/3)-3*3^(2/3))*arctan((3*(-2)^(2/3)*3^(1/3)+2*x)/sqrt(24+18*(-2)^(1/3)*3^(2/3)))*3^(5/6)/sqrt(8+9*I*2^(1/3)*3^(1/6)+3*2^(1/3)*3^(2/3))+1/81*(2^(2/3)-3*3^(2/3))*arctanh(2^(1/6)*(3*3^(1/3)+2^(1/3)*x)/sqrt(-12+9*2^(1/3)*3^(2/3)))*3^(5/6)/sqrt(-8+6*2^(1/3)*3^(2/3))+1/36*ln(6-3*(-3)^(1/3)*2^(2/3)*x+x^2)*2^(1/3)*3^(2/3)/(1+(-1)^(1/3))^2+1/108*(-1)^(1/3)*3^(2/3)*ln(6+3*(-2)^(2/3)*3^(1/3)*x+x^2)*2^(1/3)-1/108*ln(6+3*2^(2/3)*3^(1/3)*x+x^2)*2^(1/3)*3^(2/3),1],
[x^3/(x^6+18*x^4+324*x^3+108*x^2+216),x,14,-1/36*arctan((3*(-3)^(1/3)*2^(2/3)-2*x)/sqrt(24-18*(-3)^(2/3)*2^(1/3)))*2^(5/6)*3^(1/6)/(1+(-1)^(1/3))^2/sqrt(4-3*(-3)^(2/3)*2^(1/3))+1/54*(-1)^(1/3)*arctan((3*(-2)^(2/3)*3^(1/3)+2*x)/sqrt(24+18*(-2)^(1/3)*3^(2/3)))*2^(1/3)*3^(1/6)/sqrt(8+9*I*2^(1/3)*3^(1/6)+3*2^(1/3)*3^(2/3))+1/108*arctanh(2^(1/6)*(3*3^(1/3)+2^(1/3)*x)/sqrt(-12+9*2^(1/3)*3^(2/3)))*2^(5/6)*3^(1/6)/sqrt(-4+3*2^(1/3)*3^(2/3))-1/216*(-1)^(2/3)*ln(6-3*(-3)^(1/3)*2^(2/3)*x+x^2)*2^(2/3)*3^(1/3)/(1+(-1)^(1/3))^2+1/648*(-1)^(2/3)*ln(6+3*(-2)^(2/3)*3^(1/3)*x+x^2)*2^(2/3)*3^(1/3)+1/648*ln(6+3*2^(2/3)*3^(1/3)*x+x^2)*2^(2/3)*3^(1/3),1],
[x^2/(x^6+18*x^4+324*x^3+108*x^2+216),x,8,1/162*(-1)^(2/3)*arctan((3*(-3)^(1/3)*2^(2/3)-2*x)/sqrt(24-18*(-3)^(2/3)*2^(1/3)))*2^(1/6)*3^(5/6)/(1+(-1)^(1/3))^2/sqrt(4-3*(-3)^(2/3)*2^(1/3))+1/486*(-1)^(2/3)*arctan((3*(-2)^(2/3)*3^(1/3)+2*x)/sqrt(24+18*(-2)^(1/3)*3^(2/3)))*2^(2/3)*3^(5/6)/sqrt(8+9*I*2^(1/3)*3^(1/6)+3*2^(1/3)*3^(2/3))-1/486*arctanh(2^(1/6)*(3*3^(1/3)+2^(1/3)*x)/sqrt(-12+9*2^(1/3)*3^(2/3)))*2^(1/6)*3^(5/6)/sqrt(-4+3*2^(1/3)*3^(2/3)),1],
[x/(x^6+18*x^4+324*x^3+108*x^2+216),x,14,-1/216*arctan((3*(-3)^(1/3)*2^(2/3)-2*x)/sqrt(24-18*(-3)^(2/3)*2^(1/3)))*2^(5/6)*3^(1/6)/(1+(-1)^(1/3))^2/sqrt(4-3*(-3)^(2/3)*2^(1/3))+1/324*(-1)^(1/3)*arctan((3*(-2)^(2/3)*3^(1/3)+2*x)/sqrt(24+18*(-2)^(1/3)*3^(2/3)))*2^(1/3)*3^(1/6)/sqrt(8+9*I*2^(1/3)*3^(1/6)+3*2^(1/3)*3^(2/3))+1/648*arctanh(2^(1/6)*(3*3^(1/3)+2^(1/3)*x)/sqrt(-12+9*2^(1/3)*3^(2/3)))*2^(5/6)*3^(1/6)/sqrt(-4+3*2^(1/3)*3^(2/3))+1/1296*(-1)^(2/3)*ln(6-3*(-3)^(1/3)*2^(2/3)*x+x^2)*2^(2/3)*3^(1/3)/(1+(-1)^(1/3))^2-1/3888*(-1)^(2/3)*ln(6+3*(-2)^(2/3)*3^(1/3)*x+x^2)*2^(2/3)*3^(1/3)-1/3888*ln(6+3*2^(2/3)*3^(1/3)*x+x^2)*2^(2/3)*3^(1/3),1],
[1/(x^6+18*x^4+324*x^3+108*x^2+216),x,14,1/972*(-1)^(2/3)*(3*(-3)^(2/3)-2^(2/3))*arctan((3*(-3)^(1/3)*2^(2/3)-2*x)/sqrt(24-18*(-3)^(2/3)*2^(1/3)))*3^(5/6)/(1+(-1)^(1/3))^2/sqrt(8-6*(-3)^(2/3)*2^(1/3))-1/2916*((-2)^(2/3)-3*3^(2/3))*arctan((3*(-2)^(2/3)*3^(1/3)+2*x)/sqrt(24+18*(-2)^(1/3)*3^(2/3)))*3^(5/6)/sqrt(8+9*I*2^(1/3)*3^(1/6)+3*2^(1/3)*3^(2/3))+1/2916*(2^(2/3)-3*3^(2/3))*arctanh(2^(1/6)*(3*3^(1/3)+2^(1/3)*x)/sqrt(-12+9*2^(1/3)*3^(2/3)))*3^(5/6)/sqrt(-8+6*2^(1/3)*3^(2/3))-1/1296*ln(6-3*(-3)^(1/3)*2^(2/3)*x+x^2)*2^(1/3)*3^(2/3)/(1+(-1)^(1/3))^2-1/3888*(-1)^(1/3)*3^(2/3)*ln(6+3*(-2)^(2/3)*3^(1/3)*x+x^2)*2^(1/3)+1/3888*ln(6+3*2^(2/3)*3^(1/3)*x+x^2)*2^(1/3)*3^(2/3),1],
[1/x/(x^6+18*x^4+324*x^3+108*x^2+216),x,14,1/1296*(-1)^(2/3)*((-2)^(2/3)-2*3^(2/3))*arctan((3*(-2)^(2/3)*3^(1/3)+2*x)/sqrt(24+18*(-2)^(1/3)*3^(2/3)))*2^(2/3)*3^(1/6)/sqrt(8+9*I*2^(1/3)*3^(1/6)+3*2^(1/3)*3^(2/3))-1/1296*(-1)^(2/3)*((-3)^(1/3)+3*2^(1/3))*arctan(2^(1/6)*(3*(-3)^(1/3)-2^(1/3)*x)/sqrt(12-9*(-3)^(2/3)*2^(1/3)))*6^(5/6)/(1+(-1)^(1/3))^2/sqrt(4-3*(-3)^(2/3)*2^(1/3))-1/1296*(1-2^(1/3)*3^(2/3))*arctanh(2^(1/6)*(3*3^(1/3)+2^(1/3)*x)/sqrt(-12+9*2^(1/3)*3^(2/3)))*2^(5/6)*3^(1/6)/sqrt(-4+3*2^(1/3)*3^(2/3))+1/216*ln(x)-1/46656*(36+2^(2/3)*3^(1/3)*(1+I*sqrt(3)))*ln(6-3*(-3)^(1/3)*2^(2/3)*x+x^2)-1/23328*(18-(-2)^(2/3)*3^(1/3))*ln(6+3*(-2)^(2/3)*3^(1/3)*x+x^2)-1/23328*(18-2^(2/3)*3^(1/3))*ln(6+3*2^(2/3)*3^(1/3)*x+x^2),1],
[1/x^2/(x^6+18*x^4+324*x^3+108*x^2+216),x,14,-1/216/x-1/17496*(27*(-6)^(1/3)-(-2)^(2/3)+12*3^(2/3))*arctan((3*(-2)^(2/3)*3^(1/3)+2*x)/sqrt(24+18*(-2)^(1/3)*3^(2/3)))*3^(5/6)/sqrt(8+9*I*2^(1/3)*3^(1/6)+3*2^(1/3)*3^(2/3))-1/11664*(-1)^(2/3)*(6*(-6)^(2/3)+27*(-3)^(1/3)-2^(1/3))*arctan(2^(1/6)*(3*(-3)^(1/3)-2^(1/3)*x)/sqrt(12-9*(-3)^(2/3)*2^(1/3)))*6^(5/6)/(1+(-1)^(1/3))^2/sqrt(4-3*(-3)^(2/3)*2^(1/3))-1/34992*(2^(1/3)+27*3^(1/3)-6*6^(2/3))*arctanh(2^(1/6)*(3*3^(1/3)+2^(1/3)*x)/sqrt(-12+9*2^(1/3)*3^(2/3)))*6^(5/6)/sqrt(-4+3*2^(1/3)*3^(2/3))-1/7776*(-1)^(2/3)*(9+(-3)^(1/3)*2^(2/3))*ln(6-3*(-3)^(1/3)*2^(2/3)*x+x^2)*2^(2/3)*3^(1/3)/(1+(-1)^(1/3))^2+1/23328*(3*(-6)^(2/3)+2*(-2)^(1/3))*ln(6+3*(-2)^(2/3)*3^(1/3)*x+x^2)*3^(2/3)-1/23328*(2^(2/3)-3*3^(2/3))*ln(6+3*2^(2/3)*3^(1/3)*x+x^2)*6^(2/3),1],
[x^8/(x^6+18*x^4+324*x^3+108*x^2+216)^2,x,23,-1/972*(-1)^(1/3)*3^(2/3)*(54+9*(-3)^(1/3)*2^(2/3)+(2-2^(2/3)*(6*(-6)^(2/3)+27*(-3)^(1/3)))*x)*2^(1/3)/(1+(-1)^(1/3))^4/(4-3*(-3)^(2/3)*2^(1/3))/(6-3*(-3)^(1/3)*2^(2/3)*x+x^2)-1/4374*(-1)^(1/3)*3^(2/3)*(54-9*(-2)^(2/3)*3^(1/3)+(2+27*(-2)^(2/3)*3^(1/3)+12*(-2)^(1/3)*3^(2/3))*x)*2^(1/3)/(8+9*I*2^(1/3)*3^(1/6)+3*2^(1/3)*3^(2/3))/(6+3*(-2)^(2/3)*3^(1/3)*x+x^2)+1/8748*(54-9*2^(2/3)*3^(1/3)+(2+2^(2/3)*(27*3^(1/3)-6*6^(2/3)))*x)*2^(1/3)*3^(2/3)/(4-3*2^(1/3)*3^(2/3))/(6+3*2^(2/3)*3^(1/3)*x+x^2)-1/972*I*((-2)^(2/3)+6*3^(2/3))*arctan((3*(-2)^(2/3)*3^(1/3)+2*x)/sqrt(24+18*(-2)^(1/3)*3^(2/3)))*2^(1/6)*3^(2/3)/(1+(-1)^(1/3))^5/sqrt(4+3*(-2)^(1/3)*3^(2/3))-1/972*(-1)^(1/3)*(2+27*(-2)^(2/3)*3^(1/3)+12*(-2)^(1/3)*3^(2/3))*arctan((3*(-2)^(2/3)*3^(1/3)+2*x)/sqrt(24+18*(-2)^(1/3)*3^(2/3)))*2^(5/6)*3^(1/6)/(1-(-1)^(1/3))^2/(1+(-1)^(1/3))^4/(4+3*(-2)^(1/3)*3^(2/3))^(3/2)-1/243*(-1)^(1/3)*(6*(-6)^(2/3)+27*(-3)^(1/3)-2^(1/3))*arctan(2^(1/6)*(3*(-3)^(1/3)-2^(1/3)*x)/sqrt(12-9*(-3)^(2/3)*2^(1/3)))/sqrt(2)*3^(1/6)/(1+(-1)^(1/3))^4/(4-3*(-3)^(2/3)*2^(1/3))^(3/2)-1/972*(9*3^(1/6)-I*(2^(2/3)-3*3^(2/3)))*arctan(2^(1/6)*(3*(-3)^(1/3)-2^(1/3)*x)/sqrt(12-9*(-3)^(2/3)*2^(1/3)))*2^(1/6)*3^(2/3)/(1+(-1)^(1/3))^5/sqrt(4-3*(-3)^(2/3)*2^(1/3))-1/8748*(1+3*2^(1/3)*3^(2/3))*arctanh(2^(1/6)*(3*3^(1/3)+2^(1/3)*x)/sqrt(-12+9*2^(1/3)*3^(2/3)))*2^(5/6)*3^(1/6)/sqrt(-4+3*2^(1/3)*3^(2/3))+1/243*(2^(1/3)+27*3^(1/3)-6*6^(2/3))*arctanh(2^(1/6)*(3*3^(1/3)+2^(1/3)*x)/sqrt(-12+9*2^(1/3)*3^(2/3)))/sqrt(2)*3^(1/6)/(1-(-1)^(1/3))^2/(1+(-1)^(1/3))^4/(-4+3*2^(1/3)*3^(2/3))^(3/2)-1/5832*ln(6-3*(-3)^(1/3)*2^(2/3)*x+x^2)*2^(2/3)*3^(1/3)/(1+(-1)^(1/3))^4+1/5832*I*ln(6+3*(-2)^(2/3)*3^(1/3)*x+x^2)*2^(2/3)*3^(5/6)/(1+(-1)^(1/3))^5-1/52488*ln(6+3*2^(2/3)*3^(1/3)*x+x^2)*2^(2/3)*3^(1/3),1],
[x^7/(x^6+18*x^4+324*x^3+108*x^2+216)^2,x,23,-1/1944*(4*(-1)^(1/3)*3^(2/3)+18*6^(1/3)-9*((-2)^(2/3)+2*(-1)^(1/3)*3^(2/3))*x)*2^(1/3)/(1+(-1)^(1/3))^4/(4-3*(-3)^(2/3)*2^(1/3))/(6-3*(-3)^(1/3)*2^(2/3)*x+x^2)-1/4374*((-6)^(1/3)*(9*(-2)^(1/3)+2*3^(1/3))-9*(1+(-2)^(1/3)*3^(2/3))*x)/(8+9*I*2^(1/3)*3^(1/6)+3*2^(1/3)*3^(2/3))/(6+3*(-2)^(2/3)*3^(1/3)*x+x^2)+1/17496*(4-6*2^(1/3)*3^(2/3)-3*(6-2^(2/3)*3^(1/3))*x)*2^(1/3)*3^(2/3)/(4-3*2^(1/3)*3^(2/3))/(6+3*2^(2/3)*3^(1/3)*x+x^2)+1/5832*(9*I+3^(1/3)*(2*I*2^(2/3)-9*3^(1/6)+2*2^(2/3)*sqrt(3)))*arctan((3*(-3)^(1/3)*2^(2/3)-2*x)/sqrt(24-18*(-3)^(2/3)*2^(1/3)))/(1+(-1)^(1/3))^5/sqrt(8-6*(-3)^(2/3)*2^(1/3))+1/54*(1+(-2)^(1/3)*3^(2/3))*arctan((3*(-2)^(2/3)*3^(1/3)+2*x)/sqrt(24+18*(-2)^(1/3)*3^(2/3)))/sqrt(6)/(1-(-1)^(1/3))^2/(1+(-1)^(1/3))^4/(4+3*(-2)^(1/3)*3^(2/3))^(3/2)-1/5832*(9*I-3^(1/3)*(4*I*2^(2/3)+9*3^(1/6)))*arctan((3*(-2)^(2/3)*3^(1/3)+2*x)/sqrt(24+18*(-2)^(1/3)*3^(2/3)))/(1+(-1)^(1/3))^5/sqrt(8+6*(-2)^(1/3)*3^(2/3))-1/162*(-1)^(1/3)*((-3)^(1/3)+3*2^(1/3))*arctan(2^(1/6)*(3*(-3)^(1/3)-2^(1/3)*x)/sqrt(12-9*(-3)^(2/3)*2^(1/3)))/sqrt(2)*3^(1/6)/(1+(-1)^(1/3))^4/(4-3*(-3)^(2/3)*2^(1/3))^(3/2)+1/54*(1-2^(1/3)*3^(2/3))*arctanh(2^(1/6)*(3*3^(1/3)+2^(1/3)*x)/sqrt(-12+9*2^(1/3)*3^(2/3)))/sqrt(6)/(1-(-1)^(1/3))^2/(1+(-1)^(1/3))^4/(-4+3*2^(1/3)*3^(2/3))^(3/2)+1/78732*(2*2^(2/3)+3*3^(2/3))*arctanh(2^(1/6)*(3*3^(1/3)+2^(1/3)*x)/sqrt(-12+9*2^(1/3)*3^(2/3)))*3^(5/6)/sqrt(-8+6*2^(1/3)*3^(2/3))+1/3888*I*ln(6-3*(-3)^(1/3)*2^(2/3)*x+x^2)*2^(1/3)*3^(1/6)/(1+(-1)^(1/3))^5-1/7776*(I+sqrt(3))*ln(6+3*(-2)^(2/3)*3^(1/3)*x+x^2)*2^(1/3)*3^(1/6)/(1+(-1)^(1/3))^5-1/104976*ln(6+3*2^(2/3)*3^(1/3)*x+x^2)*2^(1/3)*3^(2/3),1],
[x^6/(x^6+18*x^4+324*x^3+108*x^2+216)^2,x,14,1/5832*(9*(-2)^(2/3)+6^(1/3)*(9+(-3)^(1/3)*2^(2/3))*x)*2^(1/3)/(1+(-1)^(1/3))^4/(4-3*(-3)^(2/3)*2^(1/3))/(6-3*(-3)^(1/3)*2^(2/3)*x+x^2)+1/26244*(9*2^(2/3)+(-1)^(1/3)*3^(2/3)*(2+3*(-2)^(1/3)*3^(2/3))*x)*2^(1/3)/(8+9*I*2^(1/3)*3^(1/6)+3*2^(1/3)*3^(2/3))/(6+3*(-2)^(2/3)*3^(1/3)*x+x^2)+1/52488*(3*2^(2/3)*3^(1/3)-(2-3*2^(1/3)*3^(2/3))*x)*2^(1/3)*3^(2/3)/(4-3*2^(1/3)*3^(2/3))/(6+3*2^(2/3)*3^(1/3)*x+x^2)+1/2916*(-1)^(1/3)*(3*(-3)^(2/3)-2^(2/3))*arctan((3*(-3)^(1/3)*2^(2/3)-2*x)/sqrt(24-18*(-3)^(2/3)*2^(1/3)))*6^(1/6)/(1+(-1)^(1/3))^4/(4-3*(-3)^(2/3)*2^(1/3))^(3/2)+1/2916*(3*(-3)^(2/3)+(-1)^(1/3)*2^(2/3))*arctan((3*(-2)^(2/3)*3^(1/3)+2*x)/sqrt(24+18*(-2)^(1/3)*3^(2/3)))*6^(1/6)/(1-(-1)^(1/3))^2/(1+(-1)^(1/3))^4/(4+3*(-2)^(1/3)*3^(2/3))^(3/2)-1/2916*(2^(2/3)-3*3^(2/3))*arctanh(2^(1/6)*(3*3^(1/3)+2^(1/3)*x)/sqrt(-12+9*2^(1/3)*3^(2/3)))*6^(1/6)/(1-(-1)^(1/3))^2/(1+(-1)^(1/3))^4/(-4+3*2^(1/3)*3^(2/3))^(3/2)+1/34992*(-1)^(1/6)*3^(5/6)*ln(6-3*(-3)^(1/3)*2^(2/3)*x+x^2)*2^(2/3)/(1+(-1)^(1/3))^5-1/34992*I*ln(6+3*(-2)^(2/3)*3^(1/3)*x+x^2)*2^(2/3)*3^(5/6)/(1+(-1)^(1/3))^5+1/314928*ln(6+3*2^(2/3)*3^(1/3)*x+x^2)*2^(2/3)*3^(1/3),1],
[x^5/(x^6+18*x^4+324*x^3+108*x^2+216)^2,x,17,1/11664*(-1)^(1/3)*3^(2/3)*(4-(-3)^(1/3)*2^(2/3)*x)*2^(1/3)/(1+(-1)^(1/3))^4/(4-3*(-3)^(2/3)*2^(1/3))/(6-3*(-3)^(1/3)*2^(2/3)*x+x^2)+1/52488*(-1)^(1/3)*3^(2/3)*(4+(-2)^(2/3)*3^(1/3)*x)*2^(1/3)/(8+9*I*2^(1/3)*3^(1/6)+3*2^(1/3)*3^(2/3))/(6+3*(-2)^(2/3)*3^(1/3)*x+x^2)-1/104976*(4+2^(2/3)*3^(1/3)*x)*2^(1/3)*3^(2/3)/(4-3*2^(1/3)*3^(2/3))/(6+3*2^(2/3)*3^(1/3)*x+x^2)-1/26244*arctan((3*(-3)^(1/3)*2^(2/3)-2*x)/sqrt(24-18*(-3)^(2/3)*2^(1/3)))*2^(1/6)*3^(5/6)/(1+(-1)^(1/3))^4/sqrt(4-3*(-3)^(2/3)*2^(1/3))+1/4374*arctan((3*(-3)^(1/3)*2^(2/3)-2*x)/sqrt(24-18*(-3)^(2/3)*2^(1/3)))/sqrt(3)/(8-9*I*2^(1/3)*3^(1/6)+3*2^(1/3)*3^(2/3))^(3/2)-1/8748*I*arctan((3*(-2)^(2/3)*3^(1/3)+2*x)/sqrt(24+18*(-2)^(1/3)*3^(2/3)))*2^(1/6)*3^(1/3)/(1+(-1)^(1/3))^5/sqrt(4+3*(-2)^(1/3)*3^(2/3))-1/4374*arctan((3*(-2)^(2/3)*3^(1/3)+2*x)/sqrt(24+18*(-2)^(1/3)*3^(2/3)))/sqrt(3)/(8+9*I*2^(1/3)*3^(1/6)+3*2^(1/3)*3^(2/3))^(3/2)-1/8748*arctanh(2^(1/6)*(3*3^(1/3)+2^(1/3)*x)/sqrt(-12+9*2^(1/3)*3^(2/3)))/sqrt(6)/(-4+3*2^(1/3)*3^(2/3))^(3/2)-1/236196*arctanh(2^(1/6)*(3*3^(1/3)+2^(1/3)*x)/sqrt(-12+9*2^(1/3)*3^(2/3)))*2^(1/6)*3^(5/6)/sqrt(-4+3*2^(1/3)*3^(2/3)),1],
[x^4/(x^6+18*x^4+324*x^3+108*x^2+216)^2,x,23,1/34992*(-1)^(1/3)*3^(2/3)*(3*(-3)^(1/3)*2^(2/3)-2*x)*2^(1/3)/(1+(-1)^(1/3))^4/(4-3*(-3)^(2/3)*2^(1/3))/(6-3*(-3)^(1/3)*2^(2/3)*x+x^2)-1/157464*(-1)^(1/3)*3^(2/3)*(3*(-2)^(2/3)*3^(1/3)+2*x)*2^(1/3)/(8+9*I*2^(1/3)*3^(1/6)+3*2^(1/3)*3^(2/3))/(6+3*(-2)^(2/3)*3^(1/3)*x+x^2)-1/52488*(3*3^(1/3)+2^(1/3)*x)/(9*2^(1/3)-4*3^(1/3))/(6+3*2^(2/3)*3^(1/3)*x+x^2)+1/4374*(-1)^(1/3)*arctan((3*(-3)^(1/3)*2^(2/3)-2*x)/sqrt(24-18*(-3)^(2/3)*2^(1/3)))*2^(1/3)*3^(1/6)/(1+(-1)^(1/3))^4/(8-9*I*2^(1/3)*3^(1/6)+3*2^(1/3)*3^(2/3))^(3/2)-1/17496*(-1)^(1/3)*arctan((3*(-2)^(2/3)*3^(1/3)+2*x)/sqrt(24+18*(-2)^(1/3)*3^(2/3)))*2^(5/6)*3^(1/6)/(1-(-1)^(1/3))^2/(1+(-1)^(1/3))^4/(4+3*(-2)^(1/3)*3^(2/3))^(3/2)-1/69984*(I+sqrt(3))*arctan((3*(-2)^(2/3)*3^(1/3)+2*x)/sqrt(24+18*(-2)^(1/3)*3^(2/3)))*2^(5/6)*3^(2/3)/(1+(-1)^(1/3))^5/sqrt(4+3*(-2)^(1/3)*3^(2/3))-1/34992*I*arctan(2^(1/6)*(3*(-3)^(1/3)-2^(1/3)*x)/sqrt(12-9*(-3)^(2/3)*2^(1/3)))*2^(5/6)*3^(2/3)/(1+(-1)^(1/3))^5/sqrt(4-3*(-3)^(2/3)*2^(1/3))+1/157464*arctanh(2^(1/6)*(3*3^(1/3)+2^(1/3)*x)/sqrt(-12+9*2^(1/3)*3^(2/3)))*2^(5/6)*3^(1/6)/(-4+3*2^(1/3)*3^(2/3))^(3/2)+1/314928*arctanh(2^(1/6)*(3*3^(1/3)+2^(1/3)*x)/sqrt(-12+9*2^(1/3)*3^(2/3)))*2^(5/6)*3^(1/6)/sqrt(-4+3*2^(1/3)*3^(2/3))-1/209952*ln(6-3*(-3)^(1/3)*2^(2/3)*x+x^2)*2^(2/3)*3^(1/3)/(1+(-1)^(1/3))^4+1/209952*I*ln(6+3*(-2)^(2/3)*3^(1/3)*x+x^2)*2^(2/3)*3^(5/6)/(1+(-1)^(1/3))^5-1/1889568*ln(6+3*2^(2/3)*3^(1/3)*x+x^2)*2^(2/3)*3^(1/3),1],
[x^3/(x^6+18*x^4+324*x^3+108*x^2+216)^2,x,23,1/157464*((-6)^(1/3)*(2*(-3)^(1/3)+9*2^(1/3))-3*x)/(8-9*I*2^(1/3)*3^(1/6)+3*2^(1/3)*3^(2/3))/(6-3*(-3)^(1/3)*2^(2/3)*x+x^2)-1/157464*((-6)^(1/3)*(9*(-2)^(1/3)+2*3^(1/3))+3*x)/(8+9*I*2^(1/3)*3^(1/6)+3*2^(1/3)*3^(2/3))/(6+3*(-2)^(2/3)*3^(1/3)*x+x^2)-1/104976*(2*2^(1/3)-3*6^(2/3)-3^(1/3)*x)/(9*2^(1/3)-4*3^(1/3))/(6+3*2^(2/3)*3^(1/3)*x+x^2)+1/26244*arctan((3*(-3)^(1/3)*2^(2/3)-2*x)/sqrt(24-18*(-3)^(2/3)*2^(1/3)))/sqrt(3)/(8-9*I*2^(1/3)*3^(1/6)+3*2^(1/3)*3^(2/3))^(3/2)+1/209952*(9*3^(1/6)+I*(2*2^(2/3)-2*I*2^(2/3)*sqrt(3)-3*3^(2/3)))*arctan((3*(-3)^(1/3)*2^(2/3)-2*x)/sqrt(24-18*(-3)^(2/3)*2^(1/3)))*3^(1/3)/(1+(-1)^(1/3))^5/sqrt(8-6*(-3)^(2/3)*2^(1/3))-1/26244*arctan((3*(-2)^(2/3)*3^(1/3)+2*x)/sqrt(24+18*(-2)^(1/3)*3^(2/3)))/sqrt(3)/(8+9*I*2^(1/3)*3^(1/6)+3*2^(1/3)*3^(2/3))^(3/2)-1/209952*(9*3^(1/6)-I*(4*2^(2/3)+3*3^(2/3)))*arctan((3*(-2)^(2/3)*3^(1/3)+2*x)/sqrt(24+18*(-2)^(1/3)*3^(2/3)))*3^(1/3)/(1+(-1)^(1/3))^5/sqrt(8+6*(-2)^(1/3)*3^(2/3))-1/52488*arctanh(2^(1/6)*(3*3^(1/3)+2^(1/3)*x)/sqrt(-12+9*2^(1/3)*3^(2/3)))/sqrt(6)/(-4+3*2^(1/3)*3^(2/3))^(3/2)+1/2834352*(2*2^(2/3)-3*3^(2/3))*arctanh(2^(1/6)*(3*3^(1/3)+2^(1/3)*x)/sqrt(-12+9*2^(1/3)*3^(2/3)))*3^(5/6)/sqrt(-8+6*2^(1/3)*3^(2/3))-1/139968*I*ln(6-3*(-3)^(1/3)*2^(2/3)*x+x^2)*2^(1/3)*3^(1/6)/(1+(-1)^(1/3))^5+1/279936*(I+sqrt(3))*ln(6+3*(-2)^(2/3)*3^(1/3)*x+x^2)*2^(1/3)*3^(1/6)/(1+(-1)^(1/3))^5+1/3779136*ln(6+3*2^(2/3)*3^(1/3)*x+x^2)*2^(1/3)*3^(2/3),1],
[x^2/(x^6+18*x^4+324*x^3+108*x^2+216)^2,x,23,-1/209952*(27*(-2)^(2/3)+54*(-1)^(1/3)*3^(2/3)-6^(1/3)*(9+(-3)^(1/3)*2^(2/3))*x)*2^(1/3)/(1+(-1)^(1/3))^4/(4-3*(-3)^(2/3)*2^(1/3))/(6-3*(-3)^(1/3)*2^(2/3)*x+x^2)-1/944784*(27*2^(2/3)*(1+(-2)^(1/3)*3^(2/3))-(-1)^(1/3)*3^(2/3)*(2+3*(-2)^(1/3)*3^(2/3))*x)*2^(1/3)/(8+9*I*2^(1/3)*3^(1/6)+3*2^(1/3)*3^(2/3))/(6+3*(-2)^(2/3)*3^(1/3)*x+x^2)+1/1889568*(54-9*2^(2/3)*3^(1/3)-(2-3*2^(1/3)*3^(2/3))*x)*2^(1/3)*3^(2/3)/(4-3*2^(1/3)*3^(2/3))/(6+3*2^(2/3)*3^(1/3)*x+x^2)-1/52488*(1+I*sqrt(3)+3*2^(1/3)*3^(2/3))*arctan((3*(-3)^(1/3)*2^(2/3)-2*x)/sqrt(24-18*(-3)^(2/3)*2^(1/3)))*2^(1/3)*3^(1/6)/(1+(-1)^(1/3))^4/(8-9*I*2^(1/3)*3^(1/6)+3*2^(1/3)*3^(2/3))^(3/2)+1/104976*(3*(-3)^(2/3)+(-1)^(1/3)*2^(2/3))*arctan((3*(-2)^(2/3)*3^(1/3)+2*x)/sqrt(24+18*(-2)^(1/3)*3^(2/3)))*6^(1/6)/(1-(-1)^(1/3))^2/(1+(-1)^(1/3))^4/(4+3*(-2)^(1/3)*3^(2/3))^(3/2)+1/209952*(I+sqrt(3))*arctan((3*(-2)^(2/3)*3^(1/3)+2*x)/sqrt(24+18*(-2)^(1/3)*3^(2/3)))*2^(5/6)*3^(2/3)/(1+(-1)^(1/3))^5/sqrt(4+3*(-2)^(1/3)*3^(2/3))+1/104976*I*arctan(2^(1/6)*(3*(-3)^(1/3)-2^(1/3)*x)/sqrt(12-9*(-3)^(2/3)*2^(1/3)))*2^(5/6)*3^(2/3)/(1+(-1)^(1/3))^5/sqrt(4-3*(-3)^(2/3)*2^(1/3))-1/104976*(2^(2/3)-3*3^(2/3))*arctanh(2^(1/6)*(3*3^(1/3)+2^(1/3)*x)/sqrt(-12+9*2^(1/3)*3^(2/3)))*6^(1/6)/(1-(-1)^(1/3))^2/(1+(-1)^(1/3))^4/(-4+3*2^(1/3)*3^(2/3))^(3/2)-1/944784*arctanh(2^(1/6)*(3*3^(1/3)+2^(1/3)*x)/sqrt(-12+9*2^(1/3)*3^(2/3)))*2^(5/6)*3^(1/6)/sqrt(-4+3*2^(1/3)*3^(2/3))+1/2519424*(I+sqrt(3))*ln(6-3*(-3)^(1/3)*2^(2/3)*x+x^2)*2^(2/3)*3^(5/6)/(1+(-1)^(1/3))^5-1/1259712*I*ln(6+3*(-2)^(2/3)*3^(1/3)*x+x^2)*2^(2/3)*3^(5/6)/(1+(-1)^(1/3))^5+1/11337408*ln(6+3*2^(2/3)*3^(1/3)*x+x^2)*2^(2/3)*3^(1/3),1],
[(x^3-x)/(6+2*x),x,3,4*x-3/4*x^2+1/6*x^3-12*ln(3+x),1],
[(x^3+x)/(-1+x),x,3,2*x+1/2*x^2+1/3*x^3+2*ln(1-x),1],
[(x^3-1)/(-1+x),x,2,x+1/2*x^2+1/3*x^3,1],
[(b^2*d*x^5+b^2*c*x^4+2*a*b*d*x^3+2*a*b*c*x^2+a^2*d*x+a^2*c)/(d*x+c),x,2,a^2*x+2/3*a*b*x^3+1/5*b^2*x^5,1],
[(b^2*d*x^5+b^2*c*x^4+2*a*b*d*x^3+2*a*b*c*x^2+a^2*d*x+a^2*c)/(d*x+c)^2,x,4,-b*c*(2*a*d^2+b*c^2)*x/d^4+1/2*b*(2*a*d^2+b*c^2)*x^2/d^3-1/3*b^2*c*x^3/d^2+1/4*b^2*x^4/d+(a*d^2+b*c^2)^2*ln(d*x+c)/d^5,1],
[(x^3-1)/(x^2+x+1),x,2,1/2*(1-x)^2,1],
[(b^2*d*x^5+b^2*c*x^4+2*a*b*d*x^3+2*a*b*c*x^2+a^2*d*x+a^2*c)/(b*x^2+a),x,2,a*c*x+1/3*b*c*x^3+1/4*d*(b*x^2+a)^2/b,1],
[(b^2*d*x^5+b^2*c*x^4+2*a*b*d*x^3+2*a*b*c*x^2+a^2*d*x+a^2*c)/(b*x^2+a)^2,x,3,1/2*(d*x+c)^2/d,1],
[(b^2*d*x^5+b^2*c*x^4+2*a*b*d*x^3+2*a*b*c*x^2+a^2*d*x+a^2*c)/(b*x^2+a)^3,x,5,c*arctan(sqrt(b)*x/sqrt(a))/sqrt(a)/sqrt(b)+1/2*d*ln(b*x^2+a)/b,1],
[(1-x)/(x^3+1),x,3,ln(1+x)-1/3*ln(x^3+1),1],
[(4*x^2+x+1)/(4*x^3+x),x,4,1/2*arctan(2*x)+ln(x),1],
[(3*x^2-x+1)/(x^3-x^2),x,3,1/x+3*ln(1-x),1],
[(x^2+3*x+4)/(x^2+x),x,4,x+4*ln(x)-2*ln(1+x),1],
[(3*x^2+x+4)/(x^3+x),x,6,arctan(x)+4*ln(x)-1/2*ln(x^2+1),1],
[(x^3+1)/(x^3-x),x,5,x+ln(1-x)-ln(x),1],
[(x^3+1)/(x^3-x^2),x,3,1/x+x+2*ln(1-x)-ln(x),1],
[(x^5-1)/(x^3-x),x,5,x+1/3*x^3+ln(x)-ln(1+x),1],
[(x^4+1)/(x^5+x^3),x,4,-1/2/x^2-ln(x)+ln(x^2+1),1],
[(x^2-1)/(x^3-2*x),x,4,1/2*ln(x)+1/4*ln(-x^2+2),1],
[(x^2+1)/(x^3+3*x),x,1,1/3*ln(x^3+3*x),1],
[(3*b*x^2+a)/(b*x^3+a*x),x,1,ln(b*x^3+a*x),1],
[(-2+4*x)/(x^3-x),x,3,ln(1-x)+2*ln(x)-3*ln(1+x),1],
[(4+x)/(x^3+4*x),x,6,1/2*arctan(1/2*x)+ln(x)-1/2*ln(x^2+4),1],
[(x^3+4*x^2)/(x^3+x),x,7,x-arctan(x)+2*ln(x^2+1),1],
[(b*x^3+a*x^2)/(d*x^3+c*x^2),x,4,b*x/d-(-a*d+b*c)*ln(d*x+c)/d^2,1],
[(x^2+x)/(x^3-x^2-2*x),x,4,ln(2-x),1],
[(x^2+1)/(x^3+2*x^2+x),x,4,2/(1+x)+ln(x),1],
[(x^5+1)/(x^3-3*x^2-10*x),x,3,19*x+3/2*x^2+1/3*x^3+3126/35*ln(5-x)-1/10*ln(x)-31/14*ln(2+x),1],
[(2*x^3-x)/(x^4-x^2+1),x,1,1/2*ln(x^4-x^2+1),1],
[(2*x^3+x)/(x^4+x^2)^3,x,1,-1/4/(x^4+x^2)^2,1],
[(4*x^5+2*x^3-x)/(x^4+2*x^2+3)^2,x,5,(-7*x^2+5)/(8*x^4+16*x^2+24)+9/8*arctan((x^2+1)/sqrt(2))/sqrt(2),1],
[(x^5+x)/(2*x^4+2*x^2+1)^3,x,6,1/16*(4*x^2+3)/(2*x^4+2*x^2+1)^2+(2*x^2+1)/(4*x^4+4*x^2+2)+arctan(2*x^2+1),1],
[(2560*x^3-400*x^2-576*x-84)/(320*x^4+80*x^3-12*x^2+24*x+9),x,2,2*sqrt(11)*arctan(1/5*(7-40*x)/sqrt(11))-2*sqrt(11)*arctan(1/6*(800*x^3-40*x^2+30*x+57)/sqrt(11))+2*ln(320*x^4+80*x^3-12*x^2+24*x+9),1],
[-(-30*x^9+8*x^7+15*x^6+140*x^5-34*x^4+12*x^3+5*x^2-36*x+15)/(x^4+x+3)^4,x,5,2/(x^4+x+3)^3-3*x/(x^4+x+3)^3+5*x^2/(x^4+x+3)^3+x^4/(x^4+x+3)^3-5*x^6/(x^4+x+3)^3,1],
[3*(19*x^3+120*x^2+228*x-47)/(x^4+x+3)^4+(-8*x^3-75*x^2-320*x+42)/(x^4+x+3)^3+30*x/(x^4+x+3)^2,x,-3,(-5*x^6+x^4+5*x^2-3*x+2)/(x^4+x+3)^3,1],
[(-30*x^5+4*x^3+10*x-3)/(x^4+x+3)^3-3*(4*x^3+1)*(-5*x^6+x^4+5*x^2-3*x+2)/(x^4+x+3)^4,x,-9,(-5*x^6+x^4+5*x^2-3*x+2)/(x^4+x+3)^3,1],
[(4*x^5-1)/(x^5+x+1)^2,x,1,-x/(x^5+x+1),1],
[(x^6+x^3+1)/(x^5+x),x,16,1/2*x^2-1/2*arctan(x^2)-1/2*arctan(1-sqrt(2)*x)/sqrt(2)+1/2*arctan(1+sqrt(2)*x)/sqrt(2)-1/2*arctanh(sqrt(2)*x/(x^2+1))/sqrt(2)+ln(x)-1/4*ln(x^4+1),1],
[1/(x^6-7*x^4+7*x^2-1)^2,x,10,21*x/(-128*x^2+128)+1/64*x*(-7*x^2+41)/(-x^2+1)/(x^4-6*x^2+1)+5/32*arctanh(x)+1/256*arctanh(sqrt(3-2*sqrt(2))*x)/sqrt(34+24*sqrt(2))+1/256*arctanh(sqrt(3+2*sqrt(2))*x)/sqrt(34-24*sqrt(2)),1],
[(x^2+1)/(-x^6+7*x^4-7*x^2+1)^2,x,10,x/(-16*x^2+16)+x*(-5*x^2+29)/(32*x^4-192*x^2+32)+1/4*arctanh(x)+1/64*arctanh(sqrt(3-2*sqrt(2))*x)/sqrt(17+12*sqrt(2))-1/64*arctanh(sqrt(3+2*sqrt(2))*x)/sqrt(17-12*sqrt(2)),1],
[(3-2*sqrt(2)+x^2)^2*(-3+2*sqrt(2)+x^2)/(577-408*sqrt(2)-8*(-41+29*sqrt(2))*x^2-2*(-39+28*sqrt(2))*x^4-8*(-1+sqrt(2))*x^6+x^8),x,5,-1/2*arctanh(2*x/(3-2*sqrt(2)+x^2)),1],
[(b*x+a)*(1+(a*x+1/2*b*x^2)^4),x,2,a*x+1/2*b*x^2+1/160*(b*x^2+2*a*x)^5,1],
[(b*x+a)*(1+(c+a*x+1/2*b*x^2)^4),x,2,a*x+1/2*b*x^2+1/160*(b*x^2+2*a*x+2*c)^5,1],
[(b*x+a)*(1+(a*x+1/2*b*x^2)^n),x,2,a*x+1/2*b*x^2+(a*x+1/2*b*x^2)^(1+n)/(1+n),1],
[(b*x+a)*(1+(c+a*x+1/2*b*x^2)^n),x,2,a*x+1/2*b*x^2+(c+a*x+1/2*b*x^2)^(1+n)/(1+n),1],
[(c*x^2+a)*(1+(a*x+1/3*c*x^3)^5),x,2,a*x+1/3*c*x^3+1/4374*(c*x^3+3*a*x)^6,1],
[(c*x^2+a)*(1+(d+a*x+1/3*c*x^3)^5),x,2,a*x+1/3*c*x^3+1/4374*(c*x^3+3*a*x+3*d)^6,1],
[(c*x^2+b*x)*(1+(1/2*b*x^2+1/3*c*x^3)^5),x,2,1/2*b*x^2+1/3*c*x^3+1/279936*x^12*(2*c*x+3*b)^6,1],
[(c*x^2+b*x)*(1+(d+1/2*b*x^2+1/3*c*x^3)^5),x,2,1/2*b*x^2+1/3*c*x^3+1/279936*(2*c*x^3+3*b*x^2+6*d)^6,1],
[(c*x^2+b*x+a)*(1+(a*x+1/2*b*x^2+1/3*c*x^3)^5),x,2,a*x+1/2*b*x^2+1/3*c*x^3+1/279936*(2*c*x^3+3*b*x^2+6*a*x)^6,1],
[(c*x^2+b*x+a)*(1+(d+a*x+1/2*b*x^2+1/3*c*x^3)^5),x,2,a*x+1/2*b*x^2+1/3*c*x^3+1/279936*(2*c*x^3+3*b*x^2+6*a*x+6*d)^6,1],
[(c*x^2+a)*(1+(a*x+1/3*c*x^3)^n),x,2,a*x+1/3*c*x^3+(a*x+1/3*c*x^3)^(1+n)/(1+n),1],
[(c*x^2+b*x)*(1+(1/2*b*x^2+1/3*c*x^3)^n),x,2,1/2*b*x^2+1/3*c*x^3+(1/2*b*x^2+1/3*c*x^3)^(1+n)/(1+n),1],
[(c*x^2+b*x+a)*(1+(a*x+1/2*b*x^2+1/3*c*x^3)^n),x,2,a*x+1/2*b*x^2+1/3*c*x^3+(a*x+1/2*b*x^2+1/3*c*x^3)^(1+n)/(1+n),1],
[(x^2+4*x-4)*(x^3+6*x^2-12*x+5),x,1,1/6*(x^3+6*x^2-12*x+5)^2,1],
[(x^3+2*x)*(x^4+4*x^2+1),x,1,1/8*(x^4+4*x^2+1)^2,1],
[(1+2*x)*(x^2+x)^3*(-18+7*(x^2+x)^3)^2,x,-3,81*x^4*(1+x)^4-36*x^7*(1+x)^7+49/10*x^10*(1+x)^10,1],
[x^3*(1+x)^3*(1+2*x)*(-18+7*x^3*(1+x)^3)^2,x,-2,81*x^4*(1+x)^4-36*x^7*(1+x)^7+49/10*x^10*(1+x)^10,1],
[(-x^2+2)/(x^3-6*x+1)^5,x,1,1/12/(x^3-6*x+1)^4,1],
[(x^2+2*x)/(x^3+3*x^2+4),x,1,1/3*ln(x^3+3*x^2+4),1],
[(x^3+x+1)/(x^4+2*x^2+4*x),x,1,1/4*ln(x^4+2*x^2+4*x),1],
[(-1+x)/(x^2-x+1),x,4,arctan((1-2*x)/sqrt(3))/sqrt(3)+1/2*ln(x^2-x+1),1],
[(x^2-1)/(x^3+1),x,5,arctan((1-2*x)/sqrt(3))/sqrt(3)+1/2*ln(x^2-x+1),1],
[(-4+3*x)/(x^2-2*x+4),x,4,arctan((1-x)/sqrt(3))/sqrt(3)+3/2*ln(x^2-2*x+4),1],
[(3*x^2+2*x-8)/(x^3+8),x,5,arctan((1-x)/sqrt(3))/sqrt(3)+3/2*ln(x^2-2*x+4),1],
[(2+x)/(x^2+2*x-1),x,2,1/4*(2+sqrt(2))*ln(1-sqrt(2)+x)+1/4*(2-sqrt(2))*ln(1+sqrt(2)+x),1],
[(x^2-4)/(x^3-5*x+2),x,3,1/4*(2+sqrt(2))*ln(1-sqrt(2)+x)+1/4*(2-sqrt(2))*ln(1+sqrt(2)+x),1],
[(-3+2*sqrt(2)+x^2)/(17-12*sqrt(2)+(2-4*sqrt(2))*x^2+x^4),x,2,-1/2*arctanh(2*x/(3-2*sqrt(2)+x^2)),1],
[((-3+2*sqrt(2))^2-x^4)/(-99+70*sqrt(2)+(-39+28*sqrt(2))*x^2+(-5+6*sqrt(2))*x^4-x^6),x,3,-1/2*arctanh(2*x/(3-2*sqrt(2)+x^2)),1],
[(-3+2*sqrt(2)-x^2)*(-3+2*sqrt(2)+x^2)/(-99+70*sqrt(2)+(-39+28*sqrt(2))*x^2+(-5+6*sqrt(2))*x^4-x^6),x,4,-1/2*arctanh(2*x/(3-2*sqrt(2)+x^2)),1],
[((-3+2*sqrt(2))^3-(-3+2*sqrt(2))^2*x^2-(-3+2*sqrt(2))*x^4+x^6)/(577-408*sqrt(2)+(328-232*sqrt(2))*x^2+(78-56*sqrt(2))*x^4+(8-8*sqrt(2))*x^6+x^8),x,3,-1/2*arctanh(2*x/(3-2*sqrt(2)+x^2)),1],
[(3-2*sqrt(2)+x^2)^2*(-3+2*sqrt(2)+x^2)/(577-408*sqrt(2)+(328-232*sqrt(2))*x^2+(78-56*sqrt(2))*x^4+(8-8*sqrt(2))*x^6+x^8),x,5,-1/2*arctanh(2*x/(3-2*sqrt(2)+x^2)),1],
[(a+b*sqrt(x))^3*(e*x+d),x,3,-1/2*a*(a^2*e+b^2*d)*(a+b*sqrt(x))^4/b^4+2/5*(3*a^2*e+b^2*d)*(a+b*sqrt(x))^5/b^4-a*e*(a+b*sqrt(x))^6/b^4+2/7*e*(a+b*sqrt(x))^7/b^4,1],
[(a+b*sqrt(x))^2*(e*x+d),x,3,a^2*d*x+4/3*a*b*d*x^(3/2)+1/2*(a^2*e+b^2*d)*x^2+4/5*a*b*e*x^(5/2)+1/3*b^2*e*x^3,1],
[(a+b*sqrt(x))*(e*x+d),x,4,2/3*b*d*x^(3/2)+2/5*b*e*x^(5/2)+1/2*a*(e*x+d)^2/e,1],
[(a+b*sqrt(x)+c*x)^3*(e*x+d),x,3,a^3*d*x+2*a^2*b*d*x^(3/2)+1/2*a*(3*b^2*d+a*(a*e+3*c*d))*x^2+2/5*b*(b^2*d+3*a*(a*e+2*c*d))*x^(5/2)+(a*c+b^2)*(a*e+c*d)*x^3+2/7*b*(6*a*c*e+b^2*e+3*c^2*d)*x^(7/2)+1/4*c*(3*a*c*e+3*b^2*e+c^2*d)*x^4+2/3*b*c^2*e*x^(9/2)+1/5*c^3*e*x^5,1],
[(a+b*sqrt(x)+c*x)^2*(e*x+d),x,3,a^2*d*x+4/3*a*b*d*x^(3/2)+1/2*(b^2*d+a*(a*e+2*c*d))*x^2+4/5*b*(a*e+c*d)*x^(5/2)+1/3*(2*a*c*e+b^2*e+c^2*d)*x^3+4/7*b*c*e*x^(7/2)+1/4*c^2*e*x^4,1],
[(a+b*sqrt(x)+c*x)*(e*x+d),x,4,a*d*x+2/3*b*d*x^(3/2)+1/2*(a*e+c*d)*x^2+2/5*b*e*x^(5/2)+1/3*c*e*x^3,1],
[(a+b*sqrt(x))^3*(d+e*sqrt(x)+f*x),x,3,-1/2*a*(a^2*f-a*b*e+b^2*d)*(a+b*sqrt(x))^4/b^4+2/5*(3*a^2*f-2*a*b*e+b^2*d)*(a+b*sqrt(x))^5/b^4+1/3*(-3*a*f+b*e)*(a+b*sqrt(x))^6/b^4+2/7*f*(a+b*sqrt(x))^7/b^4,1],
[(a+b*sqrt(x))^2*(d+e*sqrt(x)+f*x),x,3,a^2*d*x+2/3*a*(a*e+2*b*d)*x^(3/2)+1/2*(a^2*f+2*a*b*e+b^2*d)*x^2+2/5*b*(2*a*f+b*e)*x^(5/2)+1/3*b^2*f*x^3,1],
[(a+b*sqrt(x))*(d+e*sqrt(x)+f*x),x,3,a*d*x+2/3*(a*e+b*d)*x^(3/2)+1/2*(a*f+b*e)*x^2+2/5*b*f*x^(5/2),1],
[(a+b*sqrt(x)+c*x)^3*(d+e*sqrt(x)+f*x),x,4,a^3*d*x+2/3*a^2*(a*e+3*b*d)*x^(3/2)+1/2*a*(3*b^2*d+3*a*b*e+a*(a*f+3*c*d))*x^2+2/5*(b^3*d+3*a*b^2*e+3*a^2*c*e+3*a*b*(a*f+2*c*d))*x^(5/2)+1/3*(b^3*e+6*a*b*c*e+3*b^2*(a*f+c*d)+3*a*c*(a*f+c*d))*x^3+2/7*(3*b^2*c*e+3*a*c^2*e+b^3*f+3*b*c*(2*a*f+c*d))*x^(7/2)+1/4*c*(c^2*d+3*b^2*f+3*c*(a*f+b*e))*x^4+2/9*c^2*(3*b*f+c*e)*x^(9/2)+1/5*c^3*f*x^5,1],
[(a+b*sqrt(x)+c*x)^2*(d+e*sqrt(x)+f*x),x,4,a^2*d*x+2/3*a*(a*e+2*b*d)*x^(3/2)+1/2*(b^2*d+2*a*b*e+a*(a*f+2*c*d))*x^2+2/5*(b^2*e+2*a*c*e+2*b*(a*f+c*d))*x^(5/2)+1/3*(c^2*d+b^2*f+2*c*(a*f+b*e))*x^3+2/7*c*(2*b*f+c*e)*x^(7/2)+1/4*c^2*f*x^4,1],
[(a+b*sqrt(x)+c*x)*(d+e*sqrt(x)+f*x),x,4,a*d*x+2/3*(a*e+b*d)*x^(3/2)+1/2*(a*f+b*e+c*d)*x^2+2/5*(b*f+c*e)*x^(5/2)+1/3*c*f*x^3,1],
[(b*x+a)^4*(d*x+c)^3,x,2,1/5*(-a*d+b*c)^3*(b*x+a)^5/b^4+1/2*d*(-a*d+b*c)^2*(b*x+a)^6/b^4+3/7*d^2*(-a*d+b*c)*(b*x+a)^7/b^4+1/8*d^3*(b*x+a)^8/b^4,1],
[(b*x+a)^4*(d^3*x^3+3*c*d^2*x^2+3*c^2*d*x+c^3),x,3,1/5*(-a*d+b*c)^3*(b*x+a)^5/b^4+1/2*d*(-a*d+b*c)^2*(b*x+a)^6/b^4+3/7*d^2*(-a*d+b*c)*(b*x+a)^7/b^4+1/8*d^3*(b*x+a)^8/b^4,1],
[(d*x+c)^3*(b^4*x^4+4*a*b^3*x^3+6*a^2*b^2*x^2+4*a^3*b*x+a^4),x,3,1/5*(-a*d+b*c)^3*(b*x+a)^5/b^4+1/2*d*(-a*d+b*c)^2*(b*x+a)^6/b^4+3/7*d^2*(-a*d+b*c)*(b*x+a)^7/b^4+1/8*d^3*(b*x+a)^8/b^4,1],
[(d^3*x^3+3*c*d^2*x^2+3*c^2*d*x+c^3)*(b^4*x^4+4*a*b^3*x^3+6*a^2*b^2*x^2+4*a^3*b*x+a^4),x,4,1/5*(-a*d+b*c)^3*(b*x+a)^5/b^4+1/2*d*(-a*d+b*c)^2*(b*x+a)^6/b^4+3/7*d^2*(-a*d+b*c)*(b*x+a)^7/b^4+1/8*d^3*(b*x+a)^8/b^4,1],
[1/(2^(2/3)+x)/sqrt(x^3+1),x,4,2/3*arctan(sqrt(3)*(1+2^(1/3)*x)/sqrt(x^3+1))/sqrt(3)+2/9*2^(1/3)*sqrt(2+sqrt(3))*(1+x)*sqrt((x^2-x+1)/(1+sqrt(3)+x)^2)*InverseJacobiAM(arcsin((1-sqrt(3)+x)/(1+sqrt(3)+x)),sqrt(-7-4*sqrt(3)))*3^(3/4)/sqrt((1+x)/(1+sqrt(3)+x)^2)/sqrt(x^3+1),1],
[1/(2^(2/3)-x)/sqrt(-x^3+1),x,4,-2/3*arctan(sqrt(3)*(1-2^(1/3)*x)/sqrt(-x^3+1))/sqrt(3)-2/9*2^(1/3)*sqrt(2+sqrt(3))*(1-x)*sqrt((x^2+x+1)/(1+sqrt(3)-x)^2)*InverseJacobiAM(arcsin((1-sqrt(3)-x)/(1+sqrt(3)-x)),sqrt(-7-4*sqrt(3)))*3^(3/4)/sqrt((1-x)/(1+sqrt(3)-x)^2)/sqrt(-x^3+1),1],
[1/(2^(2/3)-x)/sqrt(x^3-1),x,4,-2/3*arctanh(sqrt(3)*(1-2^(1/3)*x)/sqrt(x^3-1))/sqrt(3)-2/9*2^(1/3)*sqrt(2-sqrt(3))*(1-x)*sqrt((x^2+x+1)/(1-sqrt(3)-x)^2)*InverseJacobiAM(arcsin((1+sqrt(3)-x)/(1-sqrt(3)-x)),sqrt(-7+4*sqrt(3)))*3^(3/4)/sqrt(-(1-x)/(1-sqrt(3)-x)^2)/sqrt(x^3-1),1],
[1/(2^(2/3)+x)/sqrt(-x^3-1),x,4,2/3*arctanh(sqrt(3)*(1+2^(1/3)*x)/sqrt(-x^3-1))/sqrt(3)+2/9*2^(1/3)*sqrt(2-sqrt(3))*(1+x)*sqrt((x^2-x+1)/(1-sqrt(3)+x)^2)*InverseJacobiAM(arcsin((1+sqrt(3)+x)/(1-sqrt(3)+x)),sqrt(-7+4*sqrt(3)))*3^(3/4)/sqrt(-(1+x)/(1-sqrt(3)+x)^2)/sqrt(-x^3-1),1],
[1/(2^(2/3)*a^(1/3)+b^(1/3)*x)/sqrt(b*x^3+a),x,4,2/3*arctan(sqrt(3)*a^(1/6)*(a^(1/3)+2^(1/3)*b^(1/3)*x)/sqrt(b*x^3+a))/sqrt(3)/sqrt(a)/b^(1/3)+2/9*2^(1/3)*sqrt(2+sqrt(3))*(a^(1/3)+b^(1/3)*x)*sqrt((a^(2/3)-a^(1/3)*b^(1/3)*x+b^(2/3)*x^2)/((1+sqrt(3))*a^(1/3)+b^(1/3)*x)^2)*InverseJacobiAM(arcsin(((1-sqrt(3))*a^(1/3)+b^(1/3)*x)/((1+sqrt(3))*a^(1/3)+b^(1/3)*x)),sqrt(-7-4*sqrt(3)))*3^(3/4)/a^(1/3)/b^(1/3)/sqrt(a^(1/3)*(a^(1/3)+b^(1/3)*x)/((1+sqrt(3))*a^(1/3)+b^(1/3)*x)^2)/sqrt(b*x^3+a),1],
[1/(2^(2/3)*a^(1/3)-b^(1/3)*x)/sqrt(-b*x^3+a),x,4,-2/3*arctan(sqrt(3)*a^(1/6)*(a^(1/3)-2^(1/3)*b^(1/3)*x)/sqrt(-b*x^3+a))/sqrt(3)/sqrt(a)/b^(1/3)-2/9*2^(1/3)*sqrt(2+sqrt(3))*(a^(1/3)-b^(1/3)*x)*sqrt((a^(2/3)+a^(1/3)*b^(1/3)*x+b^(2/3)*x^2)/((1+sqrt(3))*a^(1/3)-b^(1/3)*x)^2)*InverseJacobiAM(arcsin(((1-sqrt(3))*a^(1/3)-b^(1/3)*x)/((1+sqrt(3))*a^(1/3)-b^(1/3)*x)),sqrt(-7-4*sqrt(3)))*3^(3/4)/a^(1/3)/b^(1/3)/sqrt(a^(1/3)*(a^(1/3)-b^(1/3)*x)/((1+sqrt(3))*a^(1/3)-b^(1/3)*x)^2)/sqrt(-b*x^3+a),1],
[1/(2^(2/3)*a^(1/3)-b^(1/3)*x)/sqrt(b*x^3-a),x,4,-2/3*arctanh(sqrt(3)*a^(1/6)*(a^(1/3)-2^(1/3)*b^(1/3)*x)/sqrt(b*x^3-a))/sqrt(3)/sqrt(a)/b^(1/3)-2/9*2^(1/3)*sqrt(2-sqrt(3))*(a^(1/3)-b^(1/3)*x)*sqrt((a^(2/3)+a^(1/3)*b^(1/3)*x+b^(2/3)*x^2)/((1-sqrt(3))*a^(1/3)-b^(1/3)*x)^2)*InverseJacobiAM(arcsin(((1+sqrt(3))*a^(1/3)-b^(1/3)*x)/((1-sqrt(3))*a^(1/3)-b^(1/3)*x)),sqrt(-7+4*sqrt(3)))*3^(3/4)/a^(1/3)/b^(1/3)/sqrt(-a^(1/3)*(a^(1/3)-b^(1/3)*x)/((1-sqrt(3))*a^(1/3)-b^(1/3)*x)^2)/sqrt(b*x^3-a),1],
[1/(2^(2/3)*a^(1/3)+b^(1/3)*x)/sqrt(-b*x^3-a),x,4,2/3*arctanh(sqrt(3)*a^(1/6)*(a^(1/3)+2^(1/3)*b^(1/3)*x)/sqrt(-b*x^3-a))/sqrt(3)/sqrt(a)/b^(1/3)+2/9*2^(1/3)*sqrt(2-sqrt(3))*(a^(1/3)+b^(1/3)*x)*sqrt((a^(2/3)-a^(1/3)*b^(1/3)*x+b^(2/3)*x^2)/((1-sqrt(3))*a^(1/3)+b^(1/3)*x)^2)*InverseJacobiAM(arcsin(((1+sqrt(3))*a^(1/3)+b^(1/3)*x)/((1-sqrt(3))*a^(1/3)+b^(1/3)*x)),sqrt(-7+4*sqrt(3)))*3^(3/4)/a^(1/3)/b^(1/3)/sqrt(-a^(1/3)*(a^(1/3)+b^(1/3)*x)/((1-sqrt(3))*a^(1/3)+b^(1/3)*x)^2)/sqrt(-b*x^3-a),1],
[1/(d*x+c)/sqrt(4*d^3*x^3+c^3),x,4,2/3*arctan(sqrt(3)*sqrt(c)*(2*d*x+c)/sqrt(4*d^3*x^3+c^3))/sqrt(3)/c^(3/2)/d+2/9*2^(1/3)*sqrt(2+sqrt(3))*(c+2^(2/3)*d*x)*sqrt((c^2-2^(2/3)*c*d*x+2*2^(1/3)*d^2*x^2)/((1+sqrt(3))*c+2^(2/3)*d*x)^2)*InverseJacobiAM(arcsin(((1-sqrt(3))*c+2^(2/3)*d*x)/((1+sqrt(3))*c+2^(2/3)*d*x)),sqrt(-7-4*sqrt(3)))*3^(3/4)/c/d/sqrt(c*(c+2^(2/3)*d*x)/((1+sqrt(3))*c+2^(2/3)*d*x)^2)/sqrt(4*d^3*x^3+c^3),1],
[1/(1+sqrt(3)+x)/sqrt(x^3+1),x,4,arctan(sqrt(3+2*sqrt(3))*(1+x)/sqrt(x^3+1))/sqrt(9+6*sqrt(3))+1/3*sqrt(2+sqrt(3))*(1+x)*sqrt((x^2-x+1)/(1+sqrt(3)+x)^2)*InverseJacobiAM(arcsin((1-sqrt(3)+x)/(1+sqrt(3)+x)),sqrt(-7-4*sqrt(3)))*3^(1/4)/sqrt((1+x)/(1+sqrt(3)+x)^2)/sqrt(x^3+1),1],
[1/(1+sqrt(3)-x)/sqrt(-x^3+1),x,4,-arctan(sqrt(3+2*sqrt(3))*(1-x)/sqrt(-x^3+1))/sqrt(9+6*sqrt(3))-1/3*sqrt(2+sqrt(3))*(1-x)*sqrt((x^2+x+1)/(1+sqrt(3)-x)^2)*InverseJacobiAM(arcsin((1-sqrt(3)-x)/(1+sqrt(3)-x)),sqrt(-7-4*sqrt(3)))*3^(1/4)/sqrt((1-x)/(1+sqrt(3)-x)^2)/sqrt(-x^3+1),1],
[1/(1+sqrt(3)-x)/sqrt(x^3-1),x,4,-arctanh(sqrt(3+2*sqrt(3))*(1-x)/sqrt(x^3-1))/sqrt(9+6*sqrt(3))-1/3*sqrt(2-sqrt(3))*(1-x)*sqrt((x^2+x+1)/(1-sqrt(3)-x)^2)*InverseJacobiAM(arcsin((1+sqrt(3)-x)/(1-sqrt(3)-x)),sqrt(-7+4*sqrt(3)))*3^(1/4)/sqrt(-(1-x)/(1-sqrt(3)-x)^2)/sqrt(x^3-1),1],
[1/(1+sqrt(3)+x)/sqrt(-x^3-1),x,4,arctanh(sqrt(3+2*sqrt(3))*(1+x)/sqrt(-x^3-1))/sqrt(9+6*sqrt(3))+1/3*sqrt(2-sqrt(3))*(1+x)*sqrt((x^2-x+1)/(1-sqrt(3)+x)^2)*InverseJacobiAM(arcsin((1+sqrt(3)+x)/(1-sqrt(3)+x)),sqrt(-7+4*sqrt(3)))*3^(1/4)/sqrt(-(1+x)/(1-sqrt(3)+x)^2)/sqrt(-x^3-1),1],
[1/(3+x)/sqrt(x^3+1),x,9,(1+x)*sqrt((x^2-x+1)/(1+sqrt(3)+x)^2)*arctan(sqrt(13/2)*sqrt((1+x)/(1+sqrt(3)+x)^2)/sqrt((x^2-x+1)/(1+sqrt(3)+x)^2))/sqrt(26)/sqrt((1+x)/(1+sqrt(3)+x)^2)/sqrt(x^3+1)+2/3*sqrt(26+15*sqrt(3))*(1+x)*sqrt((x^2-x+1)/(1+sqrt(3)+x)^2)*InverseJacobiAM(arcsin((1-sqrt(3)+x)/(1+sqrt(3)+x)),sqrt(-7-4*sqrt(3)))*3^(3/4)/sqrt((1+x)/(1+sqrt(3)+x)^2)/sqrt(x^3+1)-4*3^(1/4)*(1+x)*sqrt((x^2-x+1)/(1+sqrt(3)+x)^2)*EllipticPi(sin(arcsin((1-sqrt(3)+x)/(1+sqrt(3)+x))),97-56*sqrt(3),sqrt(-7-4*sqrt(3)))/sqrt(2-sqrt(3))/sqrt((1+x)/(1+sqrt(3)+x)^2)/sqrt(x^3+1),1],
[1/(3+x)/sqrt(-x^3+1),x,9,-1/2*(1-x)*sqrt((x^2+x+1)/(1+sqrt(3)-x)^2)*arctanh(1/2*sqrt(7)*sqrt((1-x)/(1+sqrt(3)-x)^2)/sqrt((x^2+x+1)/(1+sqrt(3)-x)^2))/sqrt(7)/sqrt((1-x)/(1+sqrt(3)-x)^2)/sqrt(-x^3+1)-2/3*sqrt(2+sqrt(3))*(1-x)*sqrt((x^2+x+1)/(1+sqrt(3)-x)^2)*InverseJacobiAM(arcsin((1-sqrt(3)-x)/(1+sqrt(3)-x)),sqrt(-7-4*sqrt(3)))*3^(3/4)/(4+sqrt(3))/sqrt((1-x)/(1+sqrt(3)-x)^2)/sqrt(-x^3+1)-4/13*3^(1/4)*sqrt(2+sqrt(3))*(1-x)*sqrt((x^2+x+1)/(1+sqrt(3)-x)^2)*EllipticPi(sin(arcsin((1-sqrt(3)-x)/(1+sqrt(3)-x))),553/169+304/169*sqrt(3),sqrt(-7-4*sqrt(3)))/sqrt((1-x)/(1+sqrt(3)-x)^2)/sqrt(-x^3+1),1],
[1/(3+x)/sqrt(x^3-1),x,9,-1/2*(1-x)*sqrt((x^2+x+1)/(1+sqrt(3)-x)^2)*arctanh(1/2*sqrt(7)*sqrt((1-x)/(1+sqrt(3)-x)^2)/sqrt((x^2+x+1)/(1+sqrt(3)-x)^2))/sqrt(7)/sqrt((1-x)/(1+sqrt(3)-x)^2)/sqrt(x^3-1)-2/39*sqrt(62-35*sqrt(3))*(1-x)*sqrt((x^2+x+1)/(1-sqrt(3)-x)^2)*InverseJacobiAM(arcsin((1+sqrt(3)-x)/(1-sqrt(3)-x)),sqrt(-7+4*sqrt(3)))*3^(3/4)/sqrt(-(1-x)/(1-sqrt(3)-x)^2)/sqrt(x^3-1)-4/13*3^(1/4)*sqrt(2+sqrt(3))*(1-x)*sqrt((x^2+x+1)/(1+sqrt(3)-x)^2)*EllipticPi(sin(arcsin((1-sqrt(3)-x)/(1+sqrt(3)-x))),553/169+304/169*sqrt(3),sqrt(-7-4*sqrt(3)))/sqrt((1-x)/(1+sqrt(3)-x)^2)/sqrt(x^3-1),1],
[1/(3+x)/sqrt(-x^3-1),x,9,(1+x)*sqrt((x^2-x+1)/(1+sqrt(3)+x)^2)*arctan(sqrt(13/2)*sqrt((1+x)/(1+sqrt(3)+x)^2)/sqrt((x^2-x+1)/(1+sqrt(3)+x)^2))/sqrt(26)/sqrt((1+x)/(1+sqrt(3)+x)^2)/sqrt(-x^3-1)+2/3*(1+x)*sqrt((x^2-x+1)/(1-sqrt(3)+x)^2)*InverseJacobiAM(arcsin((1+sqrt(3)+x)/(1-sqrt(3)+x)),sqrt(-7+4*sqrt(3)))*3^(3/4)/sqrt(2-sqrt(3))/sqrt(-(1+x)/(1-sqrt(3)+x)^2)/sqrt(-x^3-1)-4*3^(1/4)*(1+x)*sqrt((x^2-x+1)/(1+sqrt(3)+x)^2)*EllipticPi(sin(arcsin((1-sqrt(3)+x)/(1+sqrt(3)+x))),97-56*sqrt(3),sqrt(-7-4*sqrt(3)))/sqrt(2-sqrt(3))/sqrt((1+x)/(1+sqrt(3)+x)^2)/sqrt(-x^3-1),1],
[1/(d*x+c)/(-d^3*x^3+c^3)^(1/3),x,1,-1/4*sqrt(3)*arctan((1+2^(1/3)*(-d*x+c)/(-d^3*x^3+c^3)^(1/3))/sqrt(3))*2^(2/3)/c/d-1/8*ln((-d*x+c)*(d*x+c)^2)*2^(2/3)/c/d+3/8*ln(-d*(-d*x+c)+2^(2/3)*d*(-d^3*x^3+c^3)^(1/3))*2^(2/3)/c/d,1],
[1/(d*x+c)/(d^3*x^3-c^3)^(1/3),x,1,1/4*sqrt(3)*arctan((1-2^(1/3)*(-d*x+c)/(d^3*x^3-c^3)^(1/3))/sqrt(3))*2^(2/3)/c/d+1/8*ln((-d*x+c)*(d*x+c)^2)*2^(2/3)/c/d-3/8*ln(d*(-d*x+c)+2^(2/3)*d*(d^3*x^3-c^3)^(1/3))*2^(2/3)/c/d,1],
[1/(d*x+c)/(-b*d^3*x^3+b*c^3)^(1/3),x,1,-1/4*sqrt(3)*arctan((1+2^(1/3)*b^(1/3)*(-d*x+c)/(-b*d^3*x^3+b*c^3)^(1/3))/sqrt(3))*2^(2/3)/b^(1/3)/c/d-1/8*ln((-d*x+c)*(d*x+c)^2)*2^(2/3)/b^(1/3)/c/d+3/8*ln(-b^(1/3)*d*(-d*x+c)+2^(2/3)*d*(-b*d^3*x^3+b*c^3)^(1/3))*2^(2/3)/b^(1/3)/c/d,1],
[1/(1+x)/(-x^3+1)^(1/3),x,1,-1/4*sqrt(3)*arctan((1+2^(1/3)*(1-x)/(-x^3+1)^(1/3))/sqrt(3))*2^(2/3)-1/8*ln((1-x)*(1+x)^2)*2^(2/3)+3/8*ln(-1+x+2^(2/3)*(-x^3+1)^(1/3))*2^(2/3),1],
[1/(d*x+c)/(d^3*x^3+2*c^3)^(1/3),x,3,1/2*arctan((1+2*d*x/(d^3*x^3+2*c^3)^(1/3))/sqrt(3))/sqrt(3)/c/d-1/2*sqrt(3)*arctan((1+2*(d*x+2*c)/(d^3*x^3+2*c^3)^(1/3))/sqrt(3))/c/d-1/2*ln(d*x+c)/c/d-1/4*ln(-d*x+(d^3*x^3+2*c^3)^(1/3))/c/d+3/4*ln(d*(d*x+2*c)-d*(d^3*x^3+2*c^3)^(1/3))/c/d,1],
[1/(d*x+c)/(d^3*x^3+2*c^3)^(2/3),x,1,-1/2*arctan((1+2*d*x/(d^3*x^3+2*c^3)^(1/3))/sqrt(3))/sqrt(3)/c^2/d+1/2*sqrt(3)*arctan((1+2*(d*x+2*c)/(d^3*x^3+2*c^3)^(1/3))/sqrt(3))/c^2/d-1/2*ln(d*x+c)/c^2/d-1/4*ln(d*x-(d^3*x^3+2*c^3)^(1/3))/c^2/d+3/4*ln(d*(d*x+2*c)-d*(d^3*x^3+2*c^3)^(1/3))/c^2/d,1],
[1/(1+2^(1/3)*x)/(x^3+1)^(2/3),x,1,-1/2*arctan((1+2*x/(x^3+1)^(1/3))/sqrt(3))*2^(1/3)/sqrt(3)+1/2*sqrt(3)*arctan((1+2*(2^(2/3)+x)/(x^3+1)^(1/3))/sqrt(3))*2^(1/3)-1/2*ln(1+2^(1/3)*x)*2^(1/3)-1/4*ln(x-(x^3+1)^(1/3))*2^(1/3)+3/4*ln(2+2^(1/3)*x-2^(1/3)*(x^3+1)^(1/3))*2^(1/3),1],
[1/(1-2^(1/3)*x)/(-x^3+1)^(2/3),x,1,-1/2*sqrt(3)*arctan((1+(2*2^(2/3)-2*x)/(-x^3+1)^(1/3))/sqrt(3))*2^(1/3)+1/2*arctan((1-2*x/(-x^3+1)^(1/3))/sqrt(3))*2^(1/3)/sqrt(3)+1/2*ln(1-2^(1/3)*x)*2^(1/3)+1/4*ln(-x-(-x^3+1)^(1/3))*2^(1/3)-3/4*ln(-2+2^(1/3)*x+2^(1/3)*(-x^3+1)^(1/3))*2^(1/3),1],
[(d*x+c)^4*(b*x^3+a)^(1/3),x,9,3/2*a*c^2*d^2*(b*x^3+a)^(1/3)/b+2/5*a*c*d^3*x*(b*x^3+a)^(1/3)/b+1/18*a*d^4*x^2*(b*x^3+a)^(1/3)/b+1/30*(b*x^3+a)^(1/3)*(5*d^4*x^5+24*c*d^3*x^4+45*c^2*d^2*x^3+40*c^3*d*x^2+15*c^4*x)-1/9*a*d*(-a*d^3+12*b*c^3)*arctan((1+2*b^(1/3)*x/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/b^(5/3)+1/10*a*c*(-4*a*d^3+5*b*c^3)*x*(1+b*x^3/a)^(2/3)*hypergeom([1/3, 2/3],[4/3],-b*x^3/a)/b/(b*x^3+a)^(2/3)-1/18*a*d*(-a*d^3+12*b*c^3)*ln(b^(1/3)*x-(b*x^3+a)^(1/3))/b^(5/3),1],
[(d*x+c)^3*(b*x^3+a)^(1/3),x,8,3/4*a*c*d^2*(b*x^3+a)^(1/3)/b+1/10*a*d^3*x*(b*x^3+a)^(1/3)/b+1/20*(b*x^3+a)^(1/3)*(4*d^3*x^4+15*c*d^2*x^3+20*c^2*d*x^2+10*c^3*x)-a*c^2*d*arctan((1+2*b^(1/3)*x/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/b^(2/3)+1/10*a*(-a*d^3+5*b*c^3)*x*(1+b*x^3/a)^(2/3)*hypergeom([1/3, 2/3],[4/3],-b*x^3/a)/b/(b*x^3+a)^(2/3)-1/2*a*c^2*d*ln(b^(1/3)*x-(b*x^3+a)^(1/3))/b^(2/3),1],
[(d*x+c)^2*(b*x^3+a)^(1/3),x,7,1/6*(4*c*d*x^2+3*c^2*x)*(b*x^3+a)^(1/3)+1/4*d^2*(b*x^3+a)^(4/3)/b-2/3*a*c*d*arctan((1+2*b^(1/3)*x/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/b^(2/3)+1/2*a*c^2*x*(1+b*x^3/a)^(2/3)*hypergeom([1/3, 2/3],[4/3],-b*x^3/a)/(b*x^3+a)^(2/3)-1/3*a*c*d*ln(b^(1/3)*x-(b*x^3+a)^(1/3))/b^(2/3),1],
[(d*x+c)*(b*x^3+a)^(1/3),x,6,1/6*(2*d*x^2+3*c*x)*(b*x^3+a)^(1/3)-1/3*a*d*arctan((1+2*b^(1/3)*x/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/b^(2/3)+1/2*a*c*x*(1+b*x^3/a)^(2/3)*hypergeom([1/3, 2/3],[4/3],-b*x^3/a)/(b*x^3+a)^(2/3)-1/6*a*d*ln(b^(1/3)*x-(b*x^3+a)^(1/3))/b^(2/3),1],
[(b*x^3+a)^(1/3)/(d*x+c),x,16,(b*x^3+a)^(1/3)/d+x*(b*x^3+a)^(1/3)*AppellF1(1/3,-1/3,1,4/3,-b*x^3/a,-d^3*x^3/c^3)/c/(1+b*x^3/a)^(1/3)+b^(1/3)*c*arctan((1+2*b^(1/3)*x/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/d^2-(-a*d^3+b*c^3)^(1/3)*arctan((1+2*(-a*d^3+b*c^3)^(1/3)*x/c/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/d^2+(-a*d^3+b*c^3)^(1/3)*arctan((1-2*d*(b*x^3+a)^(1/3)/(-a*d^3+b*c^3)^(1/3))/sqrt(3))/sqrt(3)/d^2+1/3*(-a*d^3+b*c^3)^(1/3)*ln(d^3*x^3+c^3)/d^2+1/2*b^(1/3)*c*ln(b^(1/3)*x-(b*x^3+a)^(1/3))/d^2-1/2*(-a*d^3+b*c^3)^(1/3)*ln((-a*d^3+b*c^3)^(1/3)*x/c-(b*x^3+a)^(1/3))/d^2-1/2*(-a*d^3+b*c^3)^(1/3)*ln((-a*d^3+b*c^3)^(1/3)+d*(b*x^3+a)^(1/3))/d^2,1],
[(b*x^3+a)^(1/3)/(d*x+c)^2,x,24,-c^2*(b*x^3+a)^(1/3)/d/(d^3*x^3+c^3)-d*x^2*(b*x^3+a)^(1/3)/(d^3*x^3+c^3)+x*(b*x^3+a)^(1/3)*AppellF1(1/3,-1/3,2,4/3,-b*x^3/a,-d^3*x^3/c^3)/c^2/(1+b*x^3/a)^(1/3)-1/2*d^3*x^4*(b*x^3+a)^(1/3)*AppellF1(4/3,-1/3,2,7/3,-b*x^3/a,-d^3*x^3/c^3)/c^5/(1+b*x^3/a)^(1/3)-b^(1/3)*arctan((1+2*b^(1/3)*x/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/d^2+2/3*a*d*arctan((1+2*(-a*d^3+b*c^3)^(1/3)*x/c/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/c/(-a*d^3+b*c^3)^(2/3)+1/3*(-2*a*d^3+3*b*c^3)*arctan((1+2*(-a*d^3+b*c^3)^(1/3)*x/c/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/c/d^2/(-a*d^3+b*c^3)^(2/3)-b*c^2*arctan((1-2*d*(b*x^3+a)^(1/3)/(-a*d^3+b*c^3)^(1/3))/sqrt(3))/sqrt(3)/d^2/(-a*d^3+b*c^3)^(2/3)-1/6*b*c^2*ln(d^3*x^3+c^3)/d^2/(-a*d^3+b*c^3)^(2/3)-1/9*a*d*ln(d^3*x^3+c^3)/c/(-a*d^3+b*c^3)^(2/3)-1/18*(-2*a*d^3+3*b*c^3)*ln(d^3*x^3+c^3)/c/d^2/(-a*d^3+b*c^3)^(2/3)-1/2*b^(1/3)*ln(b^(1/3)*x-(b*x^3+a)^(1/3))/d^2+1/3*a*d*ln((-a*d^3+b*c^3)^(1/3)*x/c-(b*x^3+a)^(1/3))/c/(-a*d^3+b*c^3)^(2/3)+1/6*(-2*a*d^3+3*b*c^3)*ln((-a*d^3+b*c^3)^(1/3)*x/c-(b*x^3+a)^(1/3))/c/d^2/(-a*d^3+b*c^3)^(2/3)+1/2*b*c^2*ln((-a*d^3+b*c^3)^(1/3)+d*(b*x^3+a)^(1/3))/d^2/(-a*d^3+b*c^3)^(2/3),1],
[(d*x+c)^4/(b*x^3+a)^(1/3),x,8,3*c^2*d^2*(b*x^3+a)^(2/3)/b+4/3*c*d^3*x*(b*x^3+a)^(2/3)/b+1/4*d^4*x^2*(b*x^3+a)^(2/3)/b+1/3*c*(-4*a*d^3+3*b*c^3)*arctan((1+2*b^(1/3)*x/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/b^(4/3)+1/4*d*(-a*d^3+8*b*c^3)*x^2*(1+b*x^3/a)^(1/3)*hypergeom([1/3, 2/3],[5/3],-b*x^3/a)/b/(b*x^3+a)^(1/3)-1/6*c*(-4*a*d^3+3*b*c^3)*ln(-b^(1/3)*x+(b*x^3+a)^(1/3))/b^(4/3),1],
[(d*x+c)^3/(b*x^3+a)^(1/3),x,7,3/2*c*d^2*(b*x^3+a)^(2/3)/b+1/3*d^3*x*(b*x^3+a)^(2/3)/b+1/3*(-a*d^3+3*b*c^3)*arctan((1+2*b^(1/3)*x/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/b^(4/3)+3/2*c^2*d*x^2*(1+b*x^3/a)^(1/3)*hypergeom([1/3, 2/3],[5/3],-b*x^3/a)/(b*x^3+a)^(1/3)-1/6*(-a*d^3+3*b*c^3)*ln(-b^(1/3)*x+(b*x^3+a)^(1/3))/b^(4/3),1],
[(d*x+c)^2/(b*x^3+a)^(1/3),x,6,1/2*d^2*(b*x^3+a)^(2/3)/b+c^2*arctan((1+2*b^(1/3)*x/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/b^(1/3)+c*d*x^2*(1+b*x^3/a)^(1/3)*hypergeom([1/3, 2/3],[5/3],-b*x^3/a)/(b*x^3+a)^(1/3)-1/2*c^2*ln(-b^(1/3)*x+(b*x^3+a)^(1/3))/b^(1/3),1],
[(d*x+c)/(b*x^3+a)^(1/3),x,5,c*arctan((1+2*b^(1/3)*x/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/b^(1/3)+1/2*d*x^2*(1+b*x^3/a)^(1/3)*hypergeom([1/3, 2/3],[5/3],-b*x^3/a)/(b*x^3+a)^(1/3)-1/2*c*ln(-b^(1/3)*x+(b*x^3+a)^(1/3))/b^(1/3),1],
[1/(d*x+c)/(b*x^3+a)^(1/3),x,14,-1/2*d*x^2*(1+b*x^3/a)^(1/3)*AppellF1(2/3,1/3,1,5/3,-b*x^3/a,-d^3*x^3/c^3)/c^2/(b*x^3+a)^(1/3)+arctan((1+2*(-a*d^3+b*c^3)^(1/3)*x/c/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/(-a*d^3+b*c^3)^(1/3)-arctan((1-2*d*(b*x^3+a)^(1/3)/(-a*d^3+b*c^3)^(1/3))/sqrt(3))/sqrt(3)/(-a*d^3+b*c^3)^(1/3)+1/3*ln(d^3*x^3+c^3)/(-a*d^3+b*c^3)^(1/3)-1/2*ln((-a*d^3+b*c^3)^(1/3)*x/c-(b*x^3+a)^(1/3))/(-a*d^3+b*c^3)^(1/3)-1/2*ln((-a*d^3+b*c^3)^(1/3)+d*(b*x^3+a)^(1/3))/(-a*d^3+b*c^3)^(1/3),1],
[1/(d*x+c)^2/(b*x^3+a)^(1/3),x,22,c^2*d^2*(b*x^3+a)^(2/3)/(-a*d^3+b*c^3)/(d^3*x^3+c^3)-c*d^3*x*(b*x^3+a)^(2/3)/(-a*d^3+b*c^3)/(d^3*x^3+c^3)-d*x^2*(1+b*x^3/a)^(1/3)*AppellF1(2/3,1/3,2,5/3,-b*x^3/a,-d^3*x^3/c^3)/c^3/(b*x^3+a)^(1/3)+1/5*d^4*x^5*(1+b*x^3/a)^(1/3)*AppellF1(5/3,1/3,2,8/3,-b*x^3/a,-d^3*x^3/c^3)/c^6/(b*x^3+a)^(1/3)+2/3*a*d^3*arctan((1+2*(-a*d^3+b*c^3)^(1/3)*x/c/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/c/(-a*d^3+b*c^3)^(4/3)+1/3*(-2*a*d^3+3*b*c^3)*arctan((1+2*(-a*d^3+b*c^3)^(1/3)*x/c/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/c/(-a*d^3+b*c^3)^(4/3)-b*c^2*arctan((1-2*d*(b*x^3+a)^(1/3)/(-a*d^3+b*c^3)^(1/3))/sqrt(3))/sqrt(3)/(-a*d^3+b*c^3)^(4/3)+1/6*b*c^2*ln(d^3*x^3+c^3)/(-a*d^3+b*c^3)^(4/3)+1/9*a*d^3*ln(d^3*x^3+c^3)/c/(-a*d^3+b*c^3)^(4/3)+1/18*(-2*a*d^3+3*b*c^3)*ln(d^3*x^3+c^3)/c/(-a*d^3+b*c^3)^(4/3)-1/3*a*d^3*ln((-a*d^3+b*c^3)^(1/3)*x/c-(b*x^3+a)^(1/3))/c/(-a*d^3+b*c^3)^(4/3)-1/6*(-2*a*d^3+3*b*c^3)*ln((-a*d^3+b*c^3)^(1/3)*x/c-(b*x^3+a)^(1/3))/c/(-a*d^3+b*c^3)^(4/3)-1/2*b*c^2*ln((-a*d^3+b*c^3)^(1/3)+d*(b*x^3+a)^(1/3))/(-a*d^3+b*c^3)^(4/3),1],
[(d*x+c)^4/(b*x^3+a)^(2/3),x,8,6*c^2*d^2*(b*x^3+a)^(1/3)/b+2*c*d^3*x*(b*x^3+a)^(1/3)/b+1/3*d^4*x^2*(b*x^3+a)^(1/3)/b-2/3*d*(-a*d^3+6*b*c^3)*arctan((1+2*b^(1/3)*x/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/b^(5/3)+c*(-2*a*d^3+b*c^3)*x*(1+b*x^3/a)^(2/3)*hypergeom([1/3, 2/3],[4/3],-b*x^3/a)/b/(b*x^3+a)^(2/3)-1/3*d*(-a*d^3+6*b*c^3)*ln(b^(1/3)*x-(b*x^3+a)^(1/3))/b^(5/3),1],
[(d*x+c)^3/(b*x^3+a)^(2/3),x,7,3*c*d^2*(b*x^3+a)^(1/3)/b+1/2*d^3*x*(b*x^3+a)^(1/3)/b-sqrt(3)*c^2*d*arctan((1+2*b^(1/3)*x/(b*x^3+a)^(1/3))/sqrt(3))/b^(2/3)+1/2*(-a*d^3+2*b*c^3)*x*(1+b*x^3/a)^(2/3)*hypergeom([1/3, 2/3],[4/3],-b*x^3/a)/b/(b*x^3+a)^(2/3)-3/2*c^2*d*ln(b^(1/3)*x-(b*x^3+a)^(1/3))/b^(2/3),1],
[(d*x+c)^2/(b*x^3+a)^(2/3),x,6,d^2*(b*x^3+a)^(1/3)/b-2*c*d*arctan((1+2*b^(1/3)*x/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/b^(2/3)+c^2*x*(1+b*x^3/a)^(2/3)*hypergeom([1/3, 2/3],[4/3],-b*x^3/a)/(b*x^3+a)^(2/3)-c*d*ln(b^(1/3)*x-(b*x^3+a)^(1/3))/b^(2/3),1],
[(d*x+c)/(b*x^3+a)^(2/3),x,5,-d*arctan((1+2*b^(1/3)*x/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/b^(2/3)+c*x*(1+b*x^3/a)^(2/3)*hypergeom([1/3, 2/3],[4/3],-b*x^3/a)/(b*x^3+a)^(2/3)-1/2*d*ln(b^(1/3)*x-(b*x^3+a)^(1/3))/b^(2/3),1],
[1/(d*x+c)/(b*x^3+a)^(2/3),x,13,x*(1+b*x^3/a)^(2/3)*AppellF1(1/3,2/3,1,4/3,-b*x^3/a,-d^3*x^3/c^3)/c/(b*x^3+a)^(2/3)+d*arctan((1+2*(-a*d^3+b*c^3)^(1/3)*x/c/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/(-a*d^3+b*c^3)^(2/3)-d*arctan((1-2*d*(b*x^3+a)^(1/3)/(-a*d^3+b*c^3)^(1/3))/sqrt(3))/sqrt(3)/(-a*d^3+b*c^3)^(2/3)-1/3*d*ln(d^3*x^3+c^3)/(-a*d^3+b*c^3)^(2/3)+1/2*d*ln((-a*d^3+b*c^3)^(1/3)*x/c-(b*x^3+a)^(1/3))/(-a*d^3+b*c^3)^(2/3)+1/2*d*ln((-a*d^3+b*c^3)^(1/3)+d*(b*x^3+a)^(1/3))/(-a*d^3+b*c^3)^(2/3),1],
[1/(d*x+c)^2/(b*x^3+a)^(2/3),x,22,c^2*d^2*(b*x^3+a)^(1/3)/(-a*d^3+b*c^3)/(d^3*x^3+c^3)+d^4*x^2*(b*x^3+a)^(1/3)/(-a*d^3+b*c^3)/(d^3*x^3+c^3)+x*(1+b*x^3/a)^(2/3)*AppellF1(1/3,2/3,2,4/3,-b*x^3/a,-d^3*x^3/c^3)/c^2/(b*x^3+a)^(2/3)-1/2*d^3*x^4*(1+b*x^3/a)^(2/3)*AppellF1(4/3,2/3,2,7/3,-b*x^3/a,-d^3*x^3/c^3)/c^5/(b*x^3+a)^(2/3)+2/3*a*d^4*arctan((1+2*(-a*d^3+b*c^3)^(1/3)*x/c/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/c/(-a*d^3+b*c^3)^(5/3)+2/3*d*(-a*d^3+3*b*c^3)*arctan((1+2*(-a*d^3+b*c^3)^(1/3)*x/c/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/c/(-a*d^3+b*c^3)^(5/3)-2*b*c^2*d*arctan((1-2*d*(b*x^3+a)^(1/3)/(-a*d^3+b*c^3)^(1/3))/sqrt(3))/sqrt(3)/(-a*d^3+b*c^3)^(5/3)-1/3*b*c^2*d*ln(d^3*x^3+c^3)/(-a*d^3+b*c^3)^(5/3)-1/9*a*d^4*ln(d^3*x^3+c^3)/c/(-a*d^3+b*c^3)^(5/3)-1/9*d*(-a*d^3+3*b*c^3)*ln(d^3*x^3+c^3)/c/(-a*d^3+b*c^3)^(5/3)+1/3*a*d^4*ln((-a*d^3+b*c^3)^(1/3)*x/c-(b*x^3+a)^(1/3))/c/(-a*d^3+b*c^3)^(5/3)+1/3*d*(-a*d^3+3*b*c^3)*ln((-a*d^3+b*c^3)^(1/3)*x/c-(b*x^3+a)^(1/3))/c/(-a*d^3+b*c^3)^(5/3)+b*c^2*d*ln((-a*d^3+b*c^3)^(1/3)+d*(b*x^3+a)^(1/3))/(-a*d^3+b*c^3)^(5/3),1],
[(e*x+d)^3*(c*x^4+a),x,3,1/5*c*d^3*x^5+1/2*c*d^2*e*x^6+3/7*c*d*e^2*x^7+1/8*c*e^3*x^8+1/4*a*(e*x+d)^4/e,1],
[(e*x+d)^2*(c*x^4+a),x,3,1/5*c*d^2*x^5+1/3*c*d*e*x^6+1/7*c*e^2*x^7+1/3*a*(e*x+d)^3/e,1],
[(e*x+d)*(c*x^4+a),x,3,1/5*c*d*x^5+1/6*c*e*x^6+1/2*a*(e*x+d)^2/e,1],
[c*x^4+a,x,1,a*x+1/5*c*x^5,1],
[(c*x^4+a)/(e*x+d),x,2,-c*d^3*x/e^4+1/2*c*d^2*x^2/e^3-1/3*c*d*x^3/e^2+1/4*c*x^4/e+(a*e^4+c*d^4)*ln(e*x+d)/e^5,1],
[(c*x^4+a)/(e*x+d)^2,x,2,3*c*d^2*x/e^4-c*d*x^2/e^3+1/3*c*x^3/e^2-(a*e^4+c*d^4)/e^5/(e*x+d)-4*c*d^3*ln(e*x+d)/e^5,1],
[(e*x+d)^3*(c*x^4+a)^2,x,2,2/5*a*c*d^3*x^5+a*c*d^2*e*x^6+6/7*a*c*d*e^2*x^7+1/4*a*c*e^3*x^8+1/9*c^2*d^3*x^9+3/10*c^2*d^2*e*x^10+3/11*c^2*d*e^2*x^11+1/12*c^2*e^3*x^12+1/4*a^2*(e*x+d)^4/e,1],
[(e*x+d)^2*(c*x^4+a)^2,x,2,2/5*a*c*d^2*x^5+2/3*a*c*d*e*x^6+2/7*a*c*e^2*x^7+1/9*c^2*d^2*x^9+1/5*c^2*d*e*x^10+1/11*c^2*e^2*x^11+1/3*a^2*(e*x+d)^3/e,1],
[(e*x+d)*(c*x^4+a)^2,x,2,2/5*a*c*d*x^5+1/3*a*c*e*x^6+1/9*c^2*d*x^9+1/10*c^2*e*x^10+1/2*a^2*(e*x+d)^2/e,1],
[(c*x^4+a)^2,x,2,a^2*x+2/5*a*c*x^5+1/9*c^2*x^9,1],
[(c*x^4+a)^2/(e*x+d),x,2,-c*d^3*(2*a*e^4+c*d^4)*x/e^8+1/2*c*d^2*(2*a*e^4+c*d^4)*x^2/e^7-1/3*c*d*(2*a*e^4+c*d^4)*x^3/e^6+1/4*c*(2*a*e^4+c*d^4)*x^4/e^5-1/5*c^2*d^3*x^5/e^4+1/6*c^2*d^2*x^6/e^3-1/7*c^2*d*x^7/e^2+1/8*c^2*x^8/e+(a*e^4+c*d^4)^2*ln(e*x+d)/e^9,1],
[(c*x^4+a)^2/(e*x+d)^2,x,2,c*d^2*(6*a*e^4+7*c*d^4)*x/e^8-c*d*(2*a*e^4+3*c*d^4)*x^2/e^7+1/3*c*(2*a*e^4+5*c*d^4)*x^3/e^6-c^2*d^3*x^4/e^5+3/5*c^2*d^2*x^5/e^4-1/3*c^2*d*x^6/e^3+1/7*c^2*x^7/e^2-(a*e^4+c*d^4)^2/e^9/(e*x+d)-8*c*d^3*(a*e^4+c*d^4)*ln(e*x+d)/e^9,1],
[(e*x+d)^3/(c*x^4+a),x,14,3/2*d^2*e*arctan(sqrt(c)*x^2/sqrt(a))/sqrt(a)/sqrt(c)-1/2*d*(sqrt(c)*d^2+3*sqrt(a)*e^2)*arctan(1-sqrt(2)*c^(1/4)*x/a^(1/4))/sqrt(2)/a^(3/4)/c^(3/4)+1/2*d*(sqrt(c)*d^2+3*sqrt(a)*e^2)*arctan(1+sqrt(2)*c^(1/4)*x/a^(1/4))/sqrt(2)/a^(3/4)/c^(3/4)+1/2*d*(sqrt(c)*d^2-3*sqrt(a)*e^2)*arctanh(sqrt(2)*a^(1/4)*c^(1/4)*x/(sqrt(a)+sqrt(c)*x^2))/sqrt(2)/a^(3/4)/c^(3/4)+1/4*e^3*ln(c*x^4+a)/c,1],
[(e*x+d)^2/(c*x^4+a),x,12,d*e*arctan(sqrt(c)*x^2/sqrt(a))/sqrt(a)/sqrt(c)-1/2*(sqrt(c)*d^2+sqrt(a)*e^2)*arctan(1-sqrt(2)*c^(1/4)*x/a^(1/4))/sqrt(2)/a^(3/4)/c^(3/4)+1/2*(sqrt(c)*d^2+sqrt(a)*e^2)*arctan(1+sqrt(2)*c^(1/4)*x/a^(1/4))/sqrt(2)/a^(3/4)/c^(3/4)+1/2*(sqrt(c)*d^2-sqrt(a)*e^2)*arctanh(sqrt(2)*a^(1/4)*c^(1/4)*x/(sqrt(a)+sqrt(c)*x^2))/sqrt(2)/a^(3/4)/c^(3/4),1],
[(e*x+d)/(c*x^4+a),x,12,1/2*e*arctan(sqrt(c)*x^2/sqrt(a))/sqrt(a)/sqrt(c)-1/2*d*arctan(1-sqrt(2)*c^(1/4)*x/a^(1/4))/sqrt(2)/a^(3/4)/c^(1/4)+1/2*d*arctan(1+sqrt(2)*c^(1/4)*x/a^(1/4))/sqrt(2)/a^(3/4)/c^(1/4)+1/2*d*arctanh(sqrt(2)*a^(1/4)*c^(1/4)*x/(sqrt(a)+sqrt(c)*x^2))/sqrt(2)/a^(3/4)/c^(1/4),1],
[1/(c*x^4+a),x,8,-1/2*arctan(1-sqrt(2)*c^(1/4)*x/a^(1/4))/sqrt(2)/a^(3/4)/c^(1/4)+1/2*arctan(1+sqrt(2)*c^(1/4)*x/a^(1/4))/sqrt(2)/a^(3/4)/c^(1/4)+1/2*arctanh(sqrt(2)*a^(1/4)*c^(1/4)*x/(sqrt(a)+sqrt(c)*x^2))/sqrt(2)/a^(3/4)/c^(1/4),1],
[1/(e*x+d)/(c*x^4+a),x,16,-1/2*sqrt(c)*d^2*e*arctan(sqrt(c)*x^2/sqrt(a))/sqrt(a)/(a*e^4+c*d^4)-1/2*c^(1/4)*d*(sqrt(c)*d^2+sqrt(a)*e^2)*arctan(1-sqrt(2)*c^(1/4)*x/a^(1/4))/sqrt(2)/a^(3/4)/(a*e^4+c*d^4)+1/2*c^(1/4)*d*(sqrt(c)*d^2+sqrt(a)*e^2)*arctan(1+sqrt(2)*c^(1/4)*x/a^(1/4))/sqrt(2)/a^(3/4)/(a*e^4+c*d^4)+1/2*c^(1/4)*d*(sqrt(c)*d^2-sqrt(a)*e^2)*arctanh(sqrt(2)*a^(1/4)*c^(1/4)*x/(sqrt(a)+sqrt(c)*x^2))/sqrt(2)/a^(3/4)/(a*e^4+c*d^4)+e^3*ln(e*x+d)/(a*e^4+c*d^4)-e^3*ln(c*x^4+a)/(4*a*e^4+4*c*d^4),1],
[1/(e*x+d)^2/(c*x^4+a),x,16,-e^3/(a*e^4+c*d^4)/(e*x+d)-sqrt(c)*d*e*(-a*e^4+c*d^4)*arctan(sqrt(c)*x^2/sqrt(a))/sqrt(a)/(a*e^4+c*d^4)^2-1/2*c^(1/4)*(sqrt(c)*d^2*(-3*a*e^4+c*d^4)+sqrt(a)*e^2*(-a*e^4+3*c*d^4))*arctan(1-sqrt(2)*c^(1/4)*x/a^(1/4))/sqrt(2)/a^(3/4)/(a*e^4+c*d^4)^2+1/2*c^(1/4)*(sqrt(c)*d^2*(-3*a*e^4+c*d^4)+sqrt(a)*e^2*(-a*e^4+3*c*d^4))*arctan(1+sqrt(2)*c^(1/4)*x/a^(1/4))/sqrt(2)/a^(3/4)/(a*e^4+c*d^4)^2+1/2*c^(1/4)*(sqrt(c)*d^2*(-3*a*e^4+c*d^4)-sqrt(a)*e^2*(-a*e^4+3*c*d^4))*arctanh(sqrt(2)*a^(1/4)*c^(1/4)*x/(sqrt(a)+sqrt(c)*x^2))/sqrt(2)/a^(3/4)/(a*e^4+c*d^4)^2+4*c*d^3*e^3*ln(e*x+d)/(a*e^4+c*d^4)^2-c*d^3*e^3*ln(c*x^4+a)/(a*e^4+c*d^4)^2,1],
[(e*x+d)^3/(c*x^4+a)^2,x,15,-1/4*e^3/c/(c*x^4+a)+1/4*x*(3*d*e^2*x^2+3*d^2*e*x+d^3)/a/(c*x^4+a)+3/4*d^2*e*arctan(sqrt(c)*x^2/sqrt(a))/a^(3/2)/sqrt(c)-3/8*d*(sqrt(c)*d^2+sqrt(a)*e^2)*arctan(1-sqrt(2)*c^(1/4)*x/a^(1/4))/sqrt(2)/a^(7/4)/c^(3/4)+3/8*d*(sqrt(c)*d^2+sqrt(a)*e^2)*arctan(1+sqrt(2)*c^(1/4)*x/a^(1/4))/sqrt(2)/a^(7/4)/c^(3/4)+3/8*d*(sqrt(c)*d^2-sqrt(a)*e^2)*arctanh(sqrt(2)*a^(1/4)*c^(1/4)*x/(sqrt(a)+sqrt(c)*x^2))/sqrt(2)/a^(7/4)/c^(3/4),1],
[(e*x+d)^2/(c*x^4+a)^2,x,13,1/4*x*(e*x+d)^2/a/(c*x^4+a)+1/2*d*e*arctan(sqrt(c)*x^2/sqrt(a))/a^(3/2)/sqrt(c)-1/8*(3*sqrt(c)*d^2+sqrt(a)*e^2)*arctan(1-sqrt(2)*c^(1/4)*x/a^(1/4))/sqrt(2)/a^(7/4)/c^(3/4)+1/8*(3*sqrt(c)*d^2+sqrt(a)*e^2)*arctan(1+sqrt(2)*c^(1/4)*x/a^(1/4))/sqrt(2)/a^(7/4)/c^(3/4)+1/8*(3*sqrt(c)*d^2-sqrt(a)*e^2)*arctanh(sqrt(2)*a^(1/4)*c^(1/4)*x/(sqrt(a)+sqrt(c)*x^2))/sqrt(2)/a^(7/4)/c^(3/4),1],
[(e*x+d)/(c*x^4+a)^2,x,13,1/4*x*(e*x+d)/a/(c*x^4+a)+1/4*e*arctan(sqrt(c)*x^2/sqrt(a))/a^(3/2)/sqrt(c)-3/8*d*arctan(1-sqrt(2)*c^(1/4)*x/a^(1/4))/sqrt(2)/a^(7/4)/c^(1/4)+3/8*d*arctan(1+sqrt(2)*c^(1/4)*x/a^(1/4))/sqrt(2)/a^(7/4)/c^(1/4)+3/8*d*arctanh(sqrt(2)*a^(1/4)*c^(1/4)*x/(sqrt(a)+sqrt(c)*x^2))/sqrt(2)/a^(7/4)/c^(1/4),1],
[1/(c*x^4+a)^2,x,9,1/4*x/a/(c*x^4+a)-3/8*arctan(1-sqrt(2)*c^(1/4)*x/a^(1/4))/sqrt(2)/a^(7/4)/c^(1/4)+3/8*arctan(1+sqrt(2)*c^(1/4)*x/a^(1/4))/sqrt(2)/a^(7/4)/c^(1/4)+3/8*arctanh(sqrt(2)*a^(1/4)*c^(1/4)*x/(sqrt(a)+sqrt(c)*x^2))/sqrt(2)/a^(7/4)/c^(1/4),1],
[1/(e*x+d)/(c*x^4+a)^2,x,30,1/4*e^3/(a*e^4+c*d^4)/(c*x^4+a)+1/4*c*x*(d*e^2*x^2-d^2*e*x+d^3)/a/(a*e^4+c*d^4)/(c*x^4+a)-1/2*sqrt(c)*d^2*e^5*arctan(sqrt(c)*x^2/sqrt(a))/sqrt(a)/(a*e^4+c*d^4)^2-1/4*sqrt(c)*d^2*e*arctan(sqrt(c)*x^2/sqrt(a))/a^(3/2)/(a*e^4+c*d^4)-1/2*c^(1/4)*d*e^4*(sqrt(c)*d^2+sqrt(a)*e^2)*arctan(1-sqrt(2)*c^(1/4)*x/a^(1/4))/sqrt(2)/a^(3/4)/(a*e^4+c*d^4)^2-1/8*c^(1/4)*d*(3*sqrt(c)*d^2+sqrt(a)*e^2)*arctan(1-sqrt(2)*c^(1/4)*x/a^(1/4))/sqrt(2)/a^(7/4)/(a*e^4+c*d^4)+1/2*c^(1/4)*d*e^4*(sqrt(c)*d^2+sqrt(a)*e^2)*arctan(1+sqrt(2)*c^(1/4)*x/a^(1/4))/sqrt(2)/a^(3/4)/(a*e^4+c*d^4)^2+1/8*c^(1/4)*d*(3*sqrt(c)*d^2+sqrt(a)*e^2)*arctan(1+sqrt(2)*c^(1/4)*x/a^(1/4))/sqrt(2)/a^(7/4)/(a*e^4+c*d^4)+1/2*c^(1/4)*d*e^4*(sqrt(c)*d^2-sqrt(a)*e^2)*arctanh(sqrt(2)*a^(1/4)*c^(1/4)*x/(sqrt(a)+sqrt(c)*x^2))/sqrt(2)/a^(3/4)/(a*e^4+c*d^4)^2+1/8*c^(1/4)*d*(3*sqrt(c)*d^2-sqrt(a)*e^2)*arctanh(sqrt(2)*a^(1/4)*c^(1/4)*x/(sqrt(a)+sqrt(c)*x^2))/sqrt(2)/a^(7/4)/(a*e^4+c*d^4)+e^7*ln(e*x+d)/(a*e^4+c*d^4)^2-1/4*e^7*ln(c*x^4+a)/(a*e^4+c*d^4)^2,1],
[1/(e*x+d)^2/(c*x^4+a)^2,x,30,-e^7/(a*e^4+c*d^4)^2/(e*x+d)+c*d^3*e^3/(a*e^4+c*d^4)^2/(c*x^4+a)+1/4*c*x*(d^2*(-3*a*e^4+c*d^4)-2*d*e*(-a*e^4+c*d^4)*x+e^2*(-a*e^4+3*c*d^4)*x^2)/a/(a*e^4+c*d^4)^2/(c*x^4+a)-sqrt(c)*d*e^5*(-a*e^4+3*c*d^4)*arctan(sqrt(c)*x^2/sqrt(a))/sqrt(a)/(a*e^4+c*d^4)^3-1/2*sqrt(c)*d*e*(-a*e^4+c*d^4)*arctan(sqrt(c)*x^2/sqrt(a))/a^(3/2)/(a*e^4+c*d^4)^2-1/8*c^(1/4)*(3*sqrt(c)*d^2*(-3*a*e^4+c*d^4)+sqrt(a)*e^2*(-a*e^4+3*c*d^4))*arctan(1-sqrt(2)*c^(1/4)*x/a^(1/4))/sqrt(2)/a^(7/4)/(a*e^4+c*d^4)^2-1/2*c^(1/4)*e^4*(sqrt(c)*d^2*(-3*a*e^4+5*c*d^4)+sqrt(a)*e^2*(-a*e^4+7*c*d^4))*arctan(1-sqrt(2)*c^(1/4)*x/a^(1/4))/sqrt(2)/a^(3/4)/(a*e^4+c*d^4)^3+1/8*c^(1/4)*(3*sqrt(c)*d^2*(-3*a*e^4+c*d^4)+sqrt(a)*e^2*(-a*e^4+3*c*d^4))*arctan(1+sqrt(2)*c^(1/4)*x/a^(1/4))/sqrt(2)/a^(7/4)/(a*e^4+c*d^4)^2+1/2*c^(1/4)*e^4*(sqrt(c)*d^2*(-3*a*e^4+5*c*d^4)+sqrt(a)*e^2*(-a*e^4+7*c*d^4))*arctan(1+sqrt(2)*c^(1/4)*x/a^(1/4))/sqrt(2)/a^(3/4)/(a*e^4+c*d^4)^3+1/8*c^(1/4)*(3*sqrt(c)*d^2*(-3*a*e^4+c*d^4)-sqrt(a)*e^2*(-a*e^4+3*c*d^4))*arctanh(sqrt(2)*a^(1/4)*c^(1/4)*x/(sqrt(a)+sqrt(c)*x^2))/sqrt(2)/a^(7/4)/(a*e^4+c*d^4)^2+1/2*c^(1/4)*e^4*(sqrt(c)*d^2*(-3*a*e^4+5*c*d^4)-sqrt(a)*e^2*(-a*e^4+7*c*d^4))*arctanh(sqrt(2)*a^(1/4)*c^(1/4)*x/(sqrt(a)+sqrt(c)*x^2))/sqrt(2)/a^(3/4)/(a*e^4+c*d^4)^3+8*c*d^3*e^7*ln(e*x+d)/(a*e^4+c*d^4)^3-2*c*d^3*e^7*ln(c*x^4+a)/(a*e^4+c*d^4)^3,1],
[(e*x+d)^3/(c*x^4+a)^3,x,15,-1/8*e^3/c/(c*x^4+a)^2+1/8*x*(3*d*e^2*x^2+3*d^2*e*x+d^3)/a/(c*x^4+a)^2+1/32*x*(15*d*e^2*x^2+18*d^2*e*x+7*d^3)/a^2/(c*x^4+a)+9/16*d^2*e*arctan(sqrt(c)*x^2/sqrt(a))/a^(5/2)/sqrt(c)-3/64*d*(7*sqrt(c)*d^2+5*sqrt(a)*e^2)*arctan(1-sqrt(2)*c^(1/4)*x/a^(1/4))/sqrt(2)/a^(11/4)/c^(3/4)+3/64*d*(7*sqrt(c)*d^2+5*sqrt(a)*e^2)*arctan(1+sqrt(2)*c^(1/4)*x/a^(1/4))/sqrt(2)/a^(11/4)/c^(3/4)+3/64*d*(7*sqrt(c)*d^2-5*sqrt(a)*e^2)*arctanh(sqrt(2)*a^(1/4)*c^(1/4)*x/(sqrt(a)+sqrt(c)*x^2))/sqrt(2)/a^(11/4)/c^(3/4),1],
[(e*x+d)^2/(c*x^4+a)^3,x,14,1/8*x*(e*x+d)^2/a/(c*x^4+a)^2+1/32*x*(5*e^2*x^2+12*d*e*x+7*d^2)/a^2/(c*x^4+a)+3/8*d*e*arctan(sqrt(c)*x^2/sqrt(a))/a^(5/2)/sqrt(c)-1/64*(21*sqrt(c)*d^2+5*sqrt(a)*e^2)*arctan(1-sqrt(2)*c^(1/4)*x/a^(1/4))/sqrt(2)/a^(11/4)/c^(3/4)+1/64*(21*sqrt(c)*d^2+5*sqrt(a)*e^2)*arctan(1+sqrt(2)*c^(1/4)*x/a^(1/4))/sqrt(2)/a^(11/4)/c^(3/4)+1/64*(21*sqrt(c)*d^2-5*sqrt(a)*e^2)*arctanh(sqrt(2)*a^(1/4)*c^(1/4)*x/(sqrt(a)+sqrt(c)*x^2))/sqrt(2)/a^(11/4)/c^(3/4),1],
[(e*x+d)/(c*x^4+a)^3,x,14,1/8*x*(e*x+d)/a/(c*x^4+a)^2+1/32*x*(6*e*x+7*d)/a^2/(c*x^4+a)+3/16*e*arctan(sqrt(c)*x^2/sqrt(a))/a^(5/2)/sqrt(c)-21/64*d*arctan(1-sqrt(2)*c^(1/4)*x/a^(1/4))/sqrt(2)/a^(11/4)/c^(1/4)+21/64*d*arctan(1+sqrt(2)*c^(1/4)*x/a^(1/4))/sqrt(2)/a^(11/4)/c^(1/4)+21/64*d*arctanh(sqrt(2)*a^(1/4)*c^(1/4)*x/(sqrt(a)+sqrt(c)*x^2))/sqrt(2)/a^(11/4)/c^(1/4),1],
[1/(c*x^4+a)^3,x,10,1/8*x/a/(c*x^4+a)^2+7/32*x/a^2/(c*x^4+a)-21/64*arctan(1-sqrt(2)*c^(1/4)*x/a^(1/4))/sqrt(2)/a^(11/4)/c^(1/4)+21/64*arctan(1+sqrt(2)*c^(1/4)*x/a^(1/4))/sqrt(2)/a^(11/4)/c^(1/4)+21/64*arctanh(sqrt(2)*a^(1/4)*c^(1/4)*x/(sqrt(a)+sqrt(c)*x^2))/sqrt(2)/a^(11/4)/c^(1/4),1],
[1/(e*x+d)/(c*x^4+a)^3,x,45,1/8*e^3/(a*e^4+c*d^4)/(c*x^4+a)^2+1/8*c*x*(d*e^2*x^2-d^2*e*x+d^3)/a/(a*e^4+c*d^4)/(c*x^4+a)^2+1/4*e^7/(a*e^4+c*d^4)^2/(c*x^4+a)+1/4*c*e^4*x*(d*e^2*x^2-d^2*e*x+d^3)/a/(a*e^4+c*d^4)^2/(c*x^4+a)+1/32*c*x*(5*d*e^2*x^2-6*d^2*e*x+7*d^3)/a^2/(a*e^4+c*d^4)/(c*x^4+a)-1/2*sqrt(c)*d^2*e^9*arctan(sqrt(c)*x^2/sqrt(a))/sqrt(a)/(a*e^4+c*d^4)^3-1/4*sqrt(c)*d^2*e^5*arctan(sqrt(c)*x^2/sqrt(a))/a^(3/2)/(a*e^4+c*d^4)^2-3/16*sqrt(c)*d^2*e*arctan(sqrt(c)*x^2/sqrt(a))/a^(5/2)/(a*e^4+c*d^4)-1/2*c^(1/4)*d*e^8*(sqrt(c)*d^2+sqrt(a)*e^2)*arctan(1-sqrt(2)*c^(1/4)*x/a^(1/4))/sqrt(2)/a^(3/4)/(a*e^4+c*d^4)^3-1/8*c^(1/4)*d*e^4*(3*sqrt(c)*d^2+sqrt(a)*e^2)*arctan(1-sqrt(2)*c^(1/4)*x/a^(1/4))/sqrt(2)/a^(7/4)/(a*e^4+c*d^4)^2-1/64*c^(1/4)*d*(21*sqrt(c)*d^2+5*sqrt(a)*e^2)*arctan(1-sqrt(2)*c^(1/4)*x/a^(1/4))/sqrt(2)/a^(11/4)/(a*e^4+c*d^4)+1/2*c^(1/4)*d*e^8*(sqrt(c)*d^2+sqrt(a)*e^2)*arctan(1+sqrt(2)*c^(1/4)*x/a^(1/4))/sqrt(2)/a^(3/4)/(a*e^4+c*d^4)^3+1/8*c^(1/4)*d*e^4*(3*sqrt(c)*d^2+sqrt(a)*e^2)*arctan(1+sqrt(2)*c^(1/4)*x/a^(1/4))/sqrt(2)/a^(7/4)/(a*e^4+c*d^4)^2+1/64*c^(1/4)*d*(21*sqrt(c)*d^2+5*sqrt(a)*e^2)*arctan(1+sqrt(2)*c^(1/4)*x/a^(1/4))/sqrt(2)/a^(11/4)/(a*e^4+c*d^4)+1/2*c^(1/4)*d*e^8*(sqrt(c)*d^2-sqrt(a)*e^2)*arctanh(sqrt(2)*a^(1/4)*c^(1/4)*x/(sqrt(a)+sqrt(c)*x^2))/sqrt(2)/a^(3/4)/(a*e^4+c*d^4)^3+1/8*c^(1/4)*d*e^4*(3*sqrt(c)*d^2-sqrt(a)*e^2)*arctanh(sqrt(2)*a^(1/4)*c^(1/4)*x/(sqrt(a)+sqrt(c)*x^2))/sqrt(2)/a^(7/4)/(a*e^4+c*d^4)^2+1/64*c^(1/4)*d*(21*sqrt(c)*d^2-5*sqrt(a)*e^2)*arctanh(sqrt(2)*a^(1/4)*c^(1/4)*x/(sqrt(a)+sqrt(c)*x^2))/sqrt(2)/a^(11/4)/(a*e^4+c*d^4)+e^11*ln(e*x+d)/(a*e^4+c*d^4)^3-1/4*e^11*ln(c*x^4+a)/(a*e^4+c*d^4)^3,1],
[1/(e*x+d)^2/(c*x^4+a)^3,x,45,-e^11/(a*e^4+c*d^4)^3/(e*x+d)+1/2*c*d^3*e^3/(a*e^4+c*d^4)^2/(c*x^4+a)^2+1/8*c*x*(d^2*(-3*a*e^4+c*d^4)-2*d*e*(-a*e^4+c*d^4)*x+e^2*(-a*e^4+3*c*d^4)*x^2)/a/(a*e^4+c*d^4)^2/(c*x^4+a)^2+2*c*d^3*e^7/(a*e^4+c*d^4)^3/(c*x^4+a)+1/32*c*x*(7*d^2*(-3*a*e^4+c*d^4)-12*d*e*(-a*e^4+c*d^4)*x+5*e^2*(-a*e^4+3*c*d^4)*x^2)/a^2/(a*e^4+c*d^4)^2/(c*x^4+a)+1/4*c*e^4*x*(d^2*(-3*a*e^4+5*c*d^4)-2*d*e*(-a*e^4+3*c*d^4)*x+e^2*(-a*e^4+7*c*d^4)*x^2)/a/(a*e^4+c*d^4)^3/(c*x^4+a)-sqrt(c)*d*e^9*(-a*e^4+5*c*d^4)*arctan(sqrt(c)*x^2/sqrt(a))/sqrt(a)/(a*e^4+c*d^4)^4-1/2*sqrt(c)*d*e^5*(-a*e^4+3*c*d^4)*arctan(sqrt(c)*x^2/sqrt(a))/a^(3/2)/(a*e^4+c*d^4)^3-3/8*sqrt(c)*d*e*(-a*e^4+c*d^4)*arctan(sqrt(c)*x^2/sqrt(a))/a^(5/2)/(a*e^4+c*d^4)^2-1/64*c^(1/4)*(21*sqrt(c)*d^2*(-3*a*e^4+c*d^4)+5*sqrt(a)*e^2*(-a*e^4+3*c*d^4))*arctan(1-sqrt(2)*c^(1/4)*x/a^(1/4))/sqrt(2)/a^(11/4)/(a*e^4+c*d^4)^2-1/8*c^(1/4)*e^4*(3*sqrt(c)*d^2*(-3*a*e^4+5*c*d^4)+sqrt(a)*e^2*(-a*e^4+7*c*d^4))*arctan(1-sqrt(2)*c^(1/4)*x/a^(1/4))/sqrt(2)/a^(7/4)/(a*e^4+c*d^4)^3-1/2*c^(1/4)*e^8*(3*sqrt(c)*d^2*(-a*e^4+3*c*d^4)+sqrt(a)*e^2*(-a*e^4+11*c*d^4))*arctan(1-sqrt(2)*c^(1/4)*x/a^(1/4))/sqrt(2)/a^(3/4)/(a*e^4+c*d^4)^4+1/64*c^(1/4)*(21*sqrt(c)*d^2*(-3*a*e^4+c*d^4)+5*sqrt(a)*e^2*(-a*e^4+3*c*d^4))*arctan(1+sqrt(2)*c^(1/4)*x/a^(1/4))/sqrt(2)/a^(11/4)/(a*e^4+c*d^4)^2+1/8*c^(1/4)*e^4*(3*sqrt(c)*d^2*(-3*a*e^4+5*c*d^4)+sqrt(a)*e^2*(-a*e^4+7*c*d^4))*arctan(1+sqrt(2)*c^(1/4)*x/a^(1/4))/sqrt(2)/a^(7/4)/(a*e^4+c*d^4)^3+1/2*c^(1/4)*e^8*(3*sqrt(c)*d^2*(-a*e^4+3*c*d^4)+sqrt(a)*e^2*(-a*e^4+11*c*d^4))*arctan(1+sqrt(2)*c^(1/4)*x/a^(1/4))/sqrt(2)/a^(3/4)/(a*e^4+c*d^4)^4+1/2*c^(1/4)*e^8*(9*c^(3/2)*d^6-11*sqrt(a)*c*d^4*e^2-3*a*sqrt(c)*d^2*e^4+a^(3/2)*e^6)*arctanh(sqrt(2)*a^(1/4)*c^(1/4)*x/(sqrt(a)+sqrt(c)*x^2))/sqrt(2)/a^(3/4)/(a*e^4+c*d^4)^4+1/64*c^(1/4)*(21*sqrt(c)*d^2*(-3*a*e^4+c*d^4)-5*sqrt(a)*e^2*(-a*e^4+3*c*d^4))*arctanh(sqrt(2)*a^(1/4)*c^(1/4)*x/(sqrt(a)+sqrt(c)*x^2))/sqrt(2)/a^(11/4)/(a*e^4+c*d^4)^2+1/8*c^(1/4)*e^4*(3*sqrt(c)*d^2*(-3*a*e^4+5*c*d^4)-sqrt(a)*e^2*(-a*e^4+7*c*d^4))*arctanh(sqrt(2)*a^(1/4)*c^(1/4)*x/(sqrt(a)+sqrt(c)*x^2))/sqrt(2)/a^(7/4)/(a*e^4+c*d^4)^3+12*c*d^3*e^11*ln(e*x+d)/(a*e^4+c*d^4)^4-3*c*d^3*e^11*ln(c*x^4+a)/(a*e^4+c*d^4)^4,1],
[(e*x+d)^3*sqrt(c*x^4+a),x,11,3/4*d^2*e*x^2*sqrt(c*x^4+a)+6/5*a*d*e^2*x*sqrt(c*x^4+a)/sqrt(c)/(sqrt(a)+sqrt(c)*x^2)+1/15*d*x*(9*e^2*x^2+5*d^2)*sqrt(c*x^4+a)+1/6*e^3*(c*x^4+a)^(3/2)/c+3/4*a*d^2*e*arctanh(sqrt(c)*x^2/sqrt(c*x^4+a))/sqrt(c)-6/5*a^(5/4)*d*e^2*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2))/c^(3/4)/sqrt(c*x^4+a)+1/15*a^(3/4)*d*(5*sqrt(c)*d^2+9*sqrt(a)*e^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2))/c^(3/4)/sqrt(c*x^4+a),1],
[(e*x+d)^2*sqrt(c*x^4+a),x,10,1/2*d*e*x^2*sqrt(c*x^4+a)+2/5*a*e^2*x*sqrt(c*x^4+a)/sqrt(c)/(sqrt(a)+sqrt(c)*x^2)+1/15*x*(3*e^2*x^2+5*d^2)*sqrt(c*x^4+a)+1/2*a*d*e*arctanh(sqrt(c)*x^2/sqrt(c*x^4+a))/sqrt(c)-2/5*a^(5/4)*e^2*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2))/c^(3/4)/sqrt(c*x^4+a)+1/15*a^(3/4)*(5*sqrt(c)*d^2+3*sqrt(a)*e^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2))/c^(3/4)/sqrt(c*x^4+a),1],
[(e*x+d)*sqrt(c*x^4+a),x,8,1/3*d*x*sqrt(c*x^4+a)+1/4*e*x^2*sqrt(c*x^4+a)+1/4*a*e*arctanh(sqrt(c)*x^2/sqrt(c*x^4+a))/sqrt(c)+1/3*a^(3/4)*d*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2))/c^(1/4)/sqrt(c*x^4+a),1],
[sqrt(c*x^4+a),x,2,1/3*x*sqrt(c*x^4+a)+1/3*a^(3/4)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2))/c^(1/4)/sqrt(c*x^4+a),1],
[sqrt(c*x^4+a)/(e*x+d),x,15,1/2*sqrt(c*x^4+a)/e-sqrt(c)*d*x*sqrt(c*x^4+a)/e^2/(sqrt(a)+sqrt(c)*x^2)+1/2*sqrt(a*e^4+c*d^4)*arctanh(sqrt(a*e^4+c*d^4)*x/d/e/sqrt(c*x^4+a))/e^3+1/2*sqrt(c)*d^2*arctanh(sqrt(c)*x^2/sqrt(c*x^4+a))/e^3-1/2*sqrt(a*e^4+c*d^4)*arctanh((c*d^2*x^2+a*e^2)/sqrt(a*e^4+c*d^4)/sqrt(c*x^4+a))/e^3+a^(1/4)*c^(1/4)*d*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2))/e^2/sqrt(c*x^4+a)-a^(1/4)*c^(3/4)*d^3*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2))/e^2/(sqrt(c)*d^2+sqrt(a)*e^2)/sqrt(c*x^4+a)-1/4*(sqrt(c)*d^2-sqrt(a)*e^2)*(a*e^4+c*d^4)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticPi(sin(2*arctan(c^(1/4)*x/a^(1/4))),1/4*(sqrt(c)*d^2+sqrt(a)*e^2)^2/sqrt(a)/sqrt(c)/d^2/e^2,sqrt(1/2))/a^(1/4)/c^(1/4)/d/e^4/(sqrt(c)*d^2+sqrt(a)*e^2)/sqrt(c*x^4+a),1],
[sqrt(c*x^4+a)/(e*x+d)^2,x,18,2*sqrt(c)*x*sqrt(c*x^4+a)/e^2/(sqrt(a)+sqrt(c)*x^2)-d*sqrt(c*x^4+a)/e/(-e^2*x^2+d^2)+x*sqrt(c*x^4+a)/(-e^2*x^2+d^2)-c*d^3*arctanh(sqrt(a*e^4+c*d^4)*x/d/e/sqrt(c*x^4+a))/e^3/sqrt(a*e^4+c*d^4)-sqrt(c)*d*arctanh(sqrt(c)*x^2/sqrt(c*x^4+a))/e^3+c*d^3*arctanh((c*d^2*x^2+a*e^2)/sqrt(a*e^4+c*d^4)/sqrt(c*x^4+a))/e^3/sqrt(a*e^4+c*d^4)-2*a^(1/4)*c^(1/4)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2))/e^2/sqrt(c*x^4+a)+a^(1/4)*c^(1/4)*(2*sqrt(c)*d^2+sqrt(a)*e^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2))/e^2/(sqrt(c)*d^2+sqrt(a)*e^2)/sqrt(c*x^4+a)+1/2*c^(3/4)*d^2*(sqrt(c)*d^2-sqrt(a)*e^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticPi(sin(2*arctan(c^(1/4)*x/a^(1/4))),1/4*(sqrt(c)*d^2+sqrt(a)*e^2)^2/sqrt(a)/sqrt(c)/d^2/e^2,sqrt(1/2))/a^(1/4)/e^4/(sqrt(c)*d^2+sqrt(a)*e^2)/sqrt(c*x^4+a),1],
[sqrt(c*x^4+a)/(e*x+d)^3,x,18,-c^(3/2)*d^3*x*sqrt(c*x^4+a)/e^2/(a*e^4+c*d^4)/(sqrt(a)+sqrt(c)*x^2)+d*x*sqrt(c*x^4+a)/(-e^2*x^2+d^2)^2-c*d^3*x*sqrt(c*x^4+a)/(a*e^4+c*d^4)/(-e^2*x^2+d^2)+1/2*(d^2*(-a*e^4+c*d^4)-e^2*(a*e^4+3*c*d^4)*x^2)*sqrt(c*x^4+a)/e/(a*e^4+c*d^4)/(-e^2*x^2+d^2)^2+1/2*c*d^2*(3*a*e^4+c*d^4)*arctanh(sqrt(a*e^4+c*d^4)*x/d/e/sqrt(c*x^4+a))/e^3/(a*e^4+c*d^4)^(3/2)+1/2*sqrt(c)*arctanh(sqrt(c)*x^2/sqrt(c*x^4+a))/e^3-1/2*c*d^2*(3*a*e^4+c*d^4)*arctanh((c*d^2*x^2+a*e^2)/sqrt(a*e^4+c*d^4)/sqrt(c*x^4+a))/e^3/(a*e^4+c*d^4)^(3/2)+a^(1/4)*c^(5/4)*d^3*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2))/e^2/(a*e^4+c*d^4)/sqrt(c*x^4+a)-a^(1/4)*c^(3/4)*d*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2))/e^2/(sqrt(c)*d^2+sqrt(a)*e^2)/sqrt(c*x^4+a)-1/4*c^(3/4)*d*(sqrt(c)*d^2-sqrt(a)*e^2)*(3*a*e^4+c*d^4)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticPi(sin(2*arctan(c^(1/4)*x/a^(1/4))),1/4*(sqrt(c)*d^2+sqrt(a)*e^2)^2/sqrt(a)/sqrt(c)/d^2/e^2,sqrt(1/2))/a^(1/4)/e^4/(sqrt(c)*d^2+sqrt(a)*e^2)/(a*e^4+c*d^4)/sqrt(c*x^4+a),1],
[(e*x+d)^3*(c*x^4+a)^(3/2),x,13,9/16*a*d^2*e*x^2*sqrt(c*x^4+a)+4/5*a^2*d*e^2*x*sqrt(c*x^4+a)/sqrt(c)/(sqrt(a)+sqrt(c)*x^2)+2/35*a*d*x*(7*e^2*x^2+5*d^2)*sqrt(c*x^4+a)+3/8*d^2*e*x^2*(c*x^4+a)^(3/2)+1/21*d*x*(7*e^2*x^2+3*d^2)*(c*x^4+a)^(3/2)+1/10*e^3*(c*x^4+a)^(5/2)/c+9/16*a^2*d^2*e*arctanh(sqrt(c)*x^2/sqrt(c*x^4+a))/sqrt(c)-4/5*a^(9/4)*d*e^2*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2))/c^(3/4)/sqrt(c*x^4+a)+2/35*a^(7/4)*d*(5*sqrt(c)*d^2+7*sqrt(a)*e^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2))/c^(3/4)/sqrt(c*x^4+a),1],
[(e*x+d)^2*(c*x^4+a)^(3/2),x,12,3/8*a*d*e*x^2*sqrt(c*x^4+a)+4/15*a^2*e^2*x*sqrt(c*x^4+a)/sqrt(c)/(sqrt(a)+sqrt(c)*x^2)+2/105*a*x*(7*e^2*x^2+15*d^2)*sqrt(c*x^4+a)+1/4*d*e*x^2*(c*x^4+a)^(3/2)+1/63*x*(7*e^2*x^2+9*d^2)*(c*x^4+a)^(3/2)+3/8*a^2*d*e*arctanh(sqrt(c)*x^2/sqrt(c*x^4+a))/sqrt(c)-4/15*a^(9/4)*e^2*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2))/c^(3/4)/sqrt(c*x^4+a)+2/105*a^(7/4)*(15*sqrt(c)*d^2+7*sqrt(a)*e^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2))/c^(3/4)/sqrt(c*x^4+a),1],
[(e*x+d)*(c*x^4+a)^(3/2),x,10,2/7*a*d*x*sqrt(c*x^4+a)+3/16*a*e*x^2*sqrt(c*x^4+a)+1/7*d*x*(c*x^4+a)^(3/2)+1/8*e*x^2*(c*x^4+a)^(3/2)+3/16*a^2*e*arctanh(sqrt(c)*x^2/sqrt(c*x^4+a))/sqrt(c)+2/7*a^(7/4)*d*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2))/c^(1/4)/sqrt(c*x^4+a),1],
[(c*x^4+a)^(3/2),x,3,2/7*a*x*sqrt(c*x^4+a)+1/7*x*(c*x^4+a)^(3/2)+2/7*a^(7/4)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2))/c^(1/4)/sqrt(c*x^4+a),1],
[(c*x^4+a)^(3/2)/(e*x+d),x,19,1/2*(a*e^4+c*d^4)*sqrt(c*x^4+a)/e^5-1/3*c*d^3*x*sqrt(c*x^4+a)/e^4+1/4*c*d^2*x^2*sqrt(c*x^4+a)/e^3-1/5*c*d*x^3*sqrt(c*x^4+a)/e^2-1/5*sqrt(c)*d*(7*a*e^4+5*c*d^4)*x*sqrt(c*x^4+a)/e^6/(sqrt(a)+sqrt(c)*x^2)+1/6*(c*x^4+a)^(3/2)/e+1/2*(a*e^4+c*d^4)^(3/2)*arctanh(sqrt(a*e^4+c*d^4)*x/d/e/sqrt(c*x^4+a))/e^7+1/4*sqrt(c)*d^2*(3*a*e^4+2*c*d^4)*arctanh(sqrt(c)*x^2/sqrt(c*x^4+a))/e^7-1/2*(a*e^4+c*d^4)^(3/2)*arctanh((c*d^2*x^2+a*e^2)/sqrt(a*e^4+c*d^4)/sqrt(c*x^4+a))/e^7+1/5*a^(1/4)*c^(1/4)*d*(7*a*e^4+5*c*d^4)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2))/e^6/sqrt(c*x^4+a)-1/15*a^(1/4)*c^(1/4)*d*(15*c^(3/2)*d^6+5*sqrt(a)*c*d^4*e^2+23*a*sqrt(c)*d^2*e^4+3*a^(3/2)*e^6)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2))/e^6/(sqrt(c)*d^2+sqrt(a)*e^2)/sqrt(c*x^4+a)-1/4*(sqrt(c)*d^2-sqrt(a)*e^2)*(a*e^4+c*d^4)^2*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticPi(sin(2*arctan(c^(1/4)*x/a^(1/4))),1/4*(sqrt(c)*d^2+sqrt(a)*e^2)^2/sqrt(a)/sqrt(c)/d^2/e^2,sqrt(1/2))/a^(1/4)/c^(1/4)/d/e^8/(sqrt(c)*d^2+sqrt(a)*e^2)/sqrt(c*x^4+a),1],
[(c*x^4+a)^(3/2)/(e*x+d)^2,x,21,-3*c*d^3*sqrt(c*x^4+a)/e^5+c*d^2*x*sqrt(c*x^4+a)/e^4-3/2*c*d*x^2*sqrt(c*x^4+a)/e^3+1/5*c*x^3*sqrt(c*x^4+a)/e^2+6/5*sqrt(c)*(2*a*e^4+5*c*d^4)*x*sqrt(c*x^4+a)/e^6/(sqrt(a)+sqrt(c)*x^2)+(a+c*d^4/e^4)*x*sqrt(c*x^4+a)/(-e^2*x^2+d^2)-d*(c*x^4+a)^(3/2)/e/(-e^2*x^2+d^2)-3*c*d^3*sqrt(a*e^4+c*d^4)*arctanh(sqrt(a*e^4+c*d^4)*x/d/e/sqrt(c*x^4+a))/e^7-3/2*sqrt(c)*d*(a*e^4+2*c*d^4)*arctanh(sqrt(c)*x^2/sqrt(c*x^4+a))/e^7+3*c*d^3*sqrt(a*e^4+c*d^4)*arctanh((c*d^2*x^2+a*e^2)/sqrt(a*e^4+c*d^4)/sqrt(c*x^4+a))/e^7-6/5*a^(1/4)*c^(1/4)*(2*a*e^4+5*c*d^4)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2))/e^6/sqrt(c*x^4+a)+2/5*a^(1/4)*c^(1/4)*(15*c^(3/2)*d^6+5*sqrt(a)*c*d^4*e^2+8*a*sqrt(c)*d^2*e^4+3*a^(3/2)*e^6)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2))/e^6/(sqrt(c)*d^2+sqrt(a)*e^2)/sqrt(c*x^4+a)+3/2*c^(3/4)*d^2*(sqrt(c)*d^2-sqrt(a)*e^2)*(a*e^4+c*d^4)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticPi(sin(2*arctan(c^(1/4)*x/a^(1/4))),1/4*(sqrt(c)*d^2+sqrt(a)*e^2)^2/sqrt(a)/sqrt(c)/d^2/e^2,sqrt(1/2))/a^(1/4)/e^8/(sqrt(c)*d^2+sqrt(a)*e^2)/sqrt(c*x^4+a),1],
[(e*x+d)^3/sqrt(c*x^4+a),x,9,1/2*e^3*sqrt(c*x^4+a)/c+3*d*e^2*x*sqrt(c*x^4+a)/sqrt(c)/(sqrt(a)+sqrt(c)*x^2)+3/2*d^2*e*arctanh(sqrt(c)*x^2/sqrt(c*x^4+a))/sqrt(c)-3*a^(1/4)*d*e^2*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2))/c^(3/4)/sqrt(c*x^4+a)+1/2*d*(sqrt(c)*d^2+3*sqrt(a)*e^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(1/4)/c^(3/4)/sqrt(c*x^4+a),1],
[(e*x+d)^2/sqrt(c*x^4+a),x,8,e^2*x*sqrt(c*x^4+a)/sqrt(c)/(sqrt(a)+sqrt(c)*x^2)+d*e*arctanh(sqrt(c)*x^2/sqrt(c*x^4+a))/sqrt(c)-a^(1/4)*e^2*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2))/c^(3/4)/sqrt(c*x^4+a)+1/2*(sqrt(c)*d^2+sqrt(a)*e^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(1/4)/c^(3/4)/sqrt(c*x^4+a),1],
[(e*x+d)/sqrt(c*x^4+a),x,6,1/2*e*arctanh(sqrt(c)*x^2/sqrt(c*x^4+a))/sqrt(c)+1/2*d*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(1/4)/c^(1/4)/sqrt(c*x^4+a),1],
[1/sqrt(c*x^4+a),x,1,1/2*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(1/4)/c^(1/4)/sqrt(c*x^4+a),1],
[1/(e*x+d)/sqrt(c*x^4+a),x,8,1/2*e*arctanh(sqrt(a*e^4+c*d^4)*x/d/e/sqrt(c*x^4+a))/sqrt(a*e^4+c*d^4)-1/2*e*arctanh((c*d^2*x^2+a*e^2)/sqrt(a*e^4+c*d^4)/sqrt(c*x^4+a))/sqrt(a*e^4+c*d^4)+1/2*c^(1/4)*d*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(1/4)/(sqrt(c)*d^2+sqrt(a)*e^2)/sqrt(c*x^4+a)-1/4*(sqrt(c)*d^2-sqrt(a)*e^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticPi(sin(2*arctan(c^(1/4)*x/a^(1/4))),1/4*(sqrt(c)*d^2+sqrt(a)*e^2)^2/sqrt(a)/sqrt(c)/d^2/e^2,sqrt(1/2))/a^(1/4)/c^(1/4)/d/(sqrt(c)*d^2+sqrt(a)*e^2)/sqrt(c*x^4+a),1],
[1/(e*x+d)^2/sqrt(c*x^4+a),x,13,-e^3*sqrt(c*x^4+a)/(a*e^4+c*d^4)/(e*x+d)+sqrt(c)*e^2*x*sqrt(c*x^4+a)/(a*e^4+c*d^4)/(sqrt(a)+sqrt(c)*x^2)+c*d^3*e*arctanh(sqrt(a*e^4+c*d^4)*x/d/e/sqrt(c*x^4+a))/(a*e^4+c*d^4)^(3/2)-c*d^3*e*arctanh((c*d^2*x^2+a*e^2)/sqrt(a*e^4+c*d^4)/sqrt(c*x^4+a))/(a*e^4+c*d^4)^(3/2)-a^(1/4)*c^(1/4)*e^2*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2))/(a*e^4+c*d^4)/sqrt(c*x^4+a)+1/2*c^(1/4)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(1/4)/(sqrt(c)*d^2+sqrt(a)*e^2)/sqrt(c*x^4+a)-1/2*c^(3/4)*d^2*(sqrt(c)*d^2-sqrt(a)*e^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticPi(sin(2*arctan(c^(1/4)*x/a^(1/4))),1/4*(sqrt(c)*d^2+sqrt(a)*e^2)^2/sqrt(a)/sqrt(c)/d^2/e^2,sqrt(1/2))/a^(1/4)/(sqrt(c)*d^2+sqrt(a)*e^2)/(a*e^4+c*d^4)/sqrt(c*x^4+a),1],
[1/(e*x+d)^3/sqrt(c*x^4+a),x,14,-1/2*e^3*sqrt(c*x^4+a)/(a*e^4+c*d^4)/(e*x+d)^2-3*c*d^3*e^3*sqrt(c*x^4+a)/(a*e^4+c*d^4)^2/(e*x+d)+3*c^(3/2)*d^3*e^2*x*sqrt(c*x^4+a)/(a*e^4+c*d^4)^2/(sqrt(a)+sqrt(c)*x^2)+3/2*c*d^2*e*(-a*e^4+c*d^4)*arctanh(sqrt(a*e^4+c*d^4)*x/d/e/sqrt(c*x^4+a))/(a*e^4+c*d^4)^(5/2)-3/2*c*d^2*e*(-a*e^4+c*d^4)*arctanh((c*d^2*x^2+a*e^2)/sqrt(a*e^4+c*d^4)/sqrt(c*x^4+a))/(a*e^4+c*d^4)^(5/2)-3*a^(1/4)*c^(5/4)*d^3*e^2*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2))/(a*e^4+c*d^4)^2/sqrt(c*x^4+a)+1/2*c^(3/4)*d*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(1/4)/(a*e^4+c*d^4)/sqrt(c*x^4+a)-3/4*c^(3/4)*d*(sqrt(c)*d^2-sqrt(a)*e^2)^2*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticPi(sin(2*arctan(c^(1/4)*x/a^(1/4))),1/4*(sqrt(c)*d^2+sqrt(a)*e^2)^2/sqrt(a)/sqrt(c)/d^2/e^2,sqrt(1/2))/a^(1/4)/(a*e^4+c*d^4)^2/sqrt(c*x^4+a),1],
[(e*x+d)^3/(c*x^4+a)^(3/2),x,6,-1/2*e^3/c/sqrt(c*x^4+a)+1/2*x*(3*d*e^2*x^2+3*d^2*e*x+d^3)/a/sqrt(c*x^4+a)-3/2*d*e^2*x*sqrt(c*x^4+a)/a/sqrt(c)/(sqrt(a)+sqrt(c)*x^2)+3/2*d*e^2*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2))/a^(3/4)/c^(3/4)/sqrt(c*x^4+a)+1/4*d*(sqrt(c)*d^2-3*sqrt(a)*e^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(5/4)/c^(3/4)/sqrt(c*x^4+a),1],
[(e*x+d)^2/(c*x^4+a)^(3/2),x,5,1/2*x*(e*x+d)^2/a/sqrt(c*x^4+a)-1/2*e^2*x*sqrt(c*x^4+a)/a/sqrt(c)/(sqrt(a)+sqrt(c)*x^2)+1/2*e^2*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2))/a^(3/4)/c^(3/4)/sqrt(c*x^4+a)+1/4*(sqrt(c)*d^2-sqrt(a)*e^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(5/4)/c^(3/4)/sqrt(c*x^4+a),1],
[(e*x+d)/(c*x^4+a)^(3/2),x,3,1/2*x*(e*x+d)/a/sqrt(c*x^4+a)+1/4*d*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(5/4)/c^(1/4)/sqrt(c*x^4+a),1],
[1/(c*x^4+a)^(3/2),x,2,1/2*x/a/sqrt(c*x^4+a)+1/4*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(5/4)/c^(1/4)/sqrt(c*x^4+a),1],
[1/(e*x+d)/(c*x^4+a)^(3/2),x,14,1/2*e*(-c*d^2*x^2+a*e^2)/a/(a*e^4+c*d^4)/sqrt(c*x^4+a)+1/2*c*d*x*(e^2*x^2+d^2)/a/(a*e^4+c*d^4)/sqrt(c*x^4+a)-1/2*sqrt(c)*d*e^2*x*sqrt(c*x^4+a)/a/(a*e^4+c*d^4)/(sqrt(a)+sqrt(c)*x^2)+1/2*e^5*arctanh(sqrt(a*e^4+c*d^4)*x/d/e/sqrt(c*x^4+a))/(a*e^4+c*d^4)^(3/2)-1/2*e^5*arctanh((c*d^2*x^2+a*e^2)/sqrt(a*e^4+c*d^4)/sqrt(c*x^4+a))/(a*e^4+c*d^4)^(3/2)+1/2*c^(1/4)*d*e^2*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2))/a^(3/4)/(a*e^4+c*d^4)/sqrt(c*x^4+a)+1/4*c^(1/4)*d*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(5/4)/(sqrt(c)*d^2+sqrt(a)*e^2)/sqrt(c*x^4+a)-1/4*e^4*(sqrt(c)*d^2-sqrt(a)*e^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticPi(sin(2*arctan(c^(1/4)*x/a^(1/4))),1/4*(sqrt(c)*d^2+sqrt(a)*e^2)^2/sqrt(a)/sqrt(c)/d^2/e^2,sqrt(1/2))/a^(1/4)/c^(1/4)/d/(sqrt(c)*d^2+sqrt(a)*e^2)/(a*e^4+c*d^4)/sqrt(c*x^4+a),1],
[1/(e*x+d)^2/(c*x^4+a)^(3/2),x,16,e^4*x/(a*e^4+c*d^4)/(-e^2*x^2+d^2)/sqrt(c*x^4+a)+d*e*(-c*d^2*x^2+a*e^2)/a/(a*e^4+c*d^4)/(-e^2*x^2+d^2)/sqrt(c*x^4+a)+1/2*c*x*(d^2*(-5*a*e^4+c*d^4)+3*e^2*(-a*e^4+c*d^4)*x^2)/a/(a*e^4+c*d^4)^2/sqrt(c*x^4+a)-3/2*sqrt(c)*e^2*(-a*e^4+c*d^4)*x*sqrt(c*x^4+a)/a/(a*e^4+c*d^4)^2/(sqrt(a)+sqrt(c)*x^2)+d*e^3*(-2*a*e^4+c*d^4)*sqrt(c*x^4+a)/a/(a*e^4+c*d^4)^2/(-e^2*x^2+d^2)+3*c*d^3*e^5*arctanh(sqrt(a*e^4+c*d^4)*x/d/e/sqrt(c*x^4+a))/(a*e^4+c*d^4)^(5/2)-3*c*d^3*e^5*arctanh((c*d^2*x^2+a*e^2)/sqrt(a*e^4+c*d^4)/sqrt(c*x^4+a))/(a*e^4+c*d^4)^(5/2)+3/2*c^(1/4)*e^2*(-a*e^4+c*d^4)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2))/a^(3/4)/(a*e^4+c*d^4)^2/sqrt(c*x^4+a)+1/4*c^(1/4)*(c*d^4-2*sqrt(a)*sqrt(c)*d^2*e^2+3*a*e^4)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(5/4)/(sqrt(c)*d^2+sqrt(a)*e^2)/(a*e^4+c*d^4)/sqrt(c*x^4+a)-3/2*c^(3/4)*d^2*e^4*(sqrt(c)*d^2-sqrt(a)*e^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticPi(sin(2*arctan(c^(1/4)*x/a^(1/4))),1/4*(sqrt(c)*d^2+sqrt(a)*e^2)^2/sqrt(a)/sqrt(c)/d^2/e^2,sqrt(1/2))/a^(1/4)/(sqrt(c)*d^2+sqrt(a)*e^2)/(a*e^4+c*d^4)^2/sqrt(c*x^4+a),1],
[(d*x+c)^3*(b*x^4+a)^p,x,10,1/4*d^3*(b*x^4+a)^(p+1)/b/(p+1)+c^3*x*(b*x^4+a)^p*hypergeom([1/4, -p],[5/4],-b*x^4/a)/((1+b*x^4/a)^p)+3/2*c^2*d*x^2*(b*x^4+a)^p*hypergeom([1/2, -p],[3/2],-b*x^4/a)/((1+b*x^4/a)^p)+c*d^2*x^3*(b*x^4+a)^p*hypergeom([3/4, -p],[7/4],-b*x^4/a)/((1+b*x^4/a)^p),1],
[(d*x+c)^2*(b*x^4+a)^p,x,9,c^2*x*(b*x^4+a)^p*hypergeom([1/4, -p],[5/4],-b*x^4/a)/((1+b*x^4/a)^p)+c*d*x^2*(b*x^4+a)^p*hypergeom([1/2, -p],[3/2],-b*x^4/a)/((1+b*x^4/a)^p)+1/3*d^2*x^3*(b*x^4+a)^p*hypergeom([3/4, -p],[7/4],-b*x^4/a)/((1+b*x^4/a)^p),1],
[(d*x+c)*(b*x^4+a)^p,x,7,c*x*(b*x^4+a)^p*hypergeom([1/4, -p],[5/4],-b*x^4/a)/((1+b*x^4/a)^p)+1/2*d*x^2*(b*x^4+a)^p*hypergeom([1/2, -p],[3/2],-b*x^4/a)/((1+b*x^4/a)^p),1],
[(b*x^4+a)^p,x,2,x*(b*x^4+a)^p*hypergeom([1/4, -p],[5/4],-b*x^4/a)/((1+b*x^4/a)^p),1],
[(b*x^4+a)^p/(d*x+c),x,16,x*(b*x^4+a)^p*AppellF1(1/4,-p,1,5/4,-b*x^4/a,d^4*x^4/c^4)/c/((1+b*x^4/a)^p)-1/2*d*x^2*(b*x^4+a)^p*AppellF1(1/2,-p,1,3/2,-b*x^4/a,d^4*x^4/c^4)/c^2/((1+b*x^4/a)^p)+1/3*d^2*x^3*(b*x^4+a)^p*AppellF1(3/4,-p,1,7/4,-b*x^4/a,d^4*x^4/c^4)/c^3/((1+b*x^4/a)^p)-1/4*d^3*(b*x^4+a)^(p+1)*hypergeom([1, p+1],[2+p],d^4*(b*x^4+a)/(a*d^4+b*c^4))/(a*d^4+b*c^4)/(p+1),1],
[(b*x^4+a)^p/(d*x+c)^2,x,35,x*(b*x^4+a)^p*AppellF1(1/4,-p,2,5/4,-b*x^4/a,d^4*x^4/c^4)/c^2/((1+b*x^4/a)^p)-d*x^2*(b*x^4+a)^p*AppellF1(1/2,-p,2,3/2,-b*x^4/a,d^4*x^4/c^4)/c^3/((1+b*x^4/a)^p)+d^2*x^3*(b*x^4+a)^p*AppellF1(3/4,-p,2,7/4,-b*x^4/a,d^4*x^4/c^4)/c^4/((1+b*x^4/a)^p)+3/5*d^4*x^5*(b*x^4+a)^p*AppellF1(5/4,-p,2,9/4,-b*x^4/a,d^4*x^4/c^4)/c^6/((1+b*x^4/a)^p)-1/3*d^5*x^6*(b*x^4+a)^p*AppellF1(3/2,-p,2,5/2,-b*x^4/a,d^4*x^4/c^4)/c^7/((1+b*x^4/a)^p)+1/7*d^6*x^7*(b*x^4+a)^p*AppellF1(7/4,-p,2,11/4,-b*x^4/a,d^4*x^4/c^4)/c^8/((1+b*x^4/a)^p)-b*c^3*d^3*(b*x^4+a)^(p+1)*hypergeom([2, p+1],[2+p],d^4*(b*x^4+a)/(a*d^4+b*c^4))/(a*d^4+b*c^4)^2/(p+1),1],
[(e*x+d)^3*(c*x^4+b*x^2+a),x,2,1/3*b*d^3*x^3+3/4*b*d^2*e*x^4+1/5*d*(3*b*e^2+c*d^2)*x^5+1/6*e*(b*e^2+3*c*d^2)*x^6+3/7*c*d*e^2*x^7+1/8*c*e^3*x^8+1/4*a*(e*x+d)^4/e,1],
[(e*x+d)^2*(c*x^4+b*x^2+a),x,2,1/3*b*d^2*x^3+1/2*b*d*e*x^4+1/5*(b*e^2+c*d^2)*x^5+1/3*c*d*e*x^6+1/7*c*e^2*x^7+1/3*a*(e*x+d)^3/e,1],
[(e*x+d)*(c*x^4+b*x^2+a),x,2,1/3*b*d*x^3+1/4*b*e*x^4+1/5*c*d*x^5+1/6*c*e*x^6+1/2*a*(e*x+d)^2/e,1],
[c*x^4+b*x^2+a,x,1,a*x+1/3*b*x^3+1/5*c*x^5,1],
[(c*x^4+b*x^2+a)/(e*x+d),x,2,-d*(b*e^2+c*d^2)*x/e^4+1/2*(b*e^2+c*d^2)*x^2/e^3-1/3*c*d*x^3/e^2+1/4*c*x^4/e+(a*e^4+b*d^2*e^2+c*d^4)*ln(e*x+d)/e^5,1],
[(c*x^4+b*x^2+a)/(e*x+d)^2,x,2,(b*e^2+3*c*d^2)*x/e^4-c*d*x^2/e^3+1/3*c*x^3/e^2-(a*e^4+b*d^2*e^2+c*d^4)/e^5/(e*x+d)-2*d*(b*e^2+2*c*d^2)*ln(e*x+d)/e^5,1],
[(e*x+d)^3*(c*x^4+b*x^2+a)^2,x,2,2/3*a*b*d^3*x^3+3/2*a*b*d^2*e*x^4+1/5*d*(6*a*b*e^2+2*a*c*d^2+b^2*d^2)*x^5+1/6*e*(2*a*b*e^2+6*a*c*d^2+3*b^2*d^2)*x^6+1/7*d*(6*a*c*e^2+3*b^2*e^2+2*b*c*d^2)*x^7+1/8*e*(2*a*c*e^2+b^2*e^2+6*b*c*d^2)*x^8+1/9*c*d*(6*b*e^2+c*d^2)*x^9+1/10*c*e*(2*b*e^2+3*c*d^2)*x^10+3/11*c^2*d*e^2*x^11+1/12*c^2*e^3*x^12+1/4*a^2*(e*x+d)^4/e,1],
[(e*x+d)^2*(c*x^4+b*x^2+a)^2,x,2,a^2*d^2*x+a^2*d*e*x^2+1/3*a*(a*e^2+2*b*d^2)*x^3+a*b*d*e*x^4+1/5*(2*a*b*e^2+2*a*c*d^2+b^2*d^2)*x^5+1/3*(2*a*c+b^2)*d*e*x^6+1/7*(2*a*c*e^2+b^2*e^2+2*b*c*d^2)*x^7+1/2*b*c*d*e*x^8+1/9*c*(2*b*e^2+c*d^2)*x^9+1/5*c^2*d*e*x^10+1/11*c^2*e^2*x^11,1],
[(e*x+d)*(c*x^4+b*x^2+a)^2,x,2,a^2*d*x+1/2*a^2*e*x^2+2/3*a*b*d*x^3+1/2*a*b*e*x^4+1/5*(2*a*c+b^2)*d*x^5+1/6*(2*a*c+b^2)*e*x^6+2/7*b*c*d*x^7+1/4*b*c*e*x^8+1/9*c^2*d*x^9+1/10*c^2*e*x^10,1],
[(c*x^4+b*x^2+a)^2,x,2,a^2*x+2/3*a*b*x^3+1/5*(2*a*c+b^2)*x^5+2/7*b*c*x^7+1/9*c^2*x^9,1],
[(c*x^4+b*x^2+a)^2/(e*x+d),x,2,-d*(b*e^2+c*d^2)*(2*a*e^4+b*d^2*e^2+c*d^4)*x/e^8+1/2*(b*e^2+c*d^2)*(2*a*e^4+b*d^2*e^2+c*d^4)*x^2/e^7-1/3*d*(c^2*d^4+b^2*e^4+2*c*(a*e^4+b*d^2*e^2))*x^3/e^6+1/4*(c^2*d^4+b^2*e^4+2*c*(a*e^4+b*d^2*e^2))*x^4/e^5-1/5*c*d*(2*b*e^2+c*d^2)*x^5/e^4+1/6*c*(2*b*e^2+c*d^2)*x^6/e^3-1/7*c^2*d*x^7/e^2+1/8*c^2*x^8/e+(a*e^4+b*d^2*e^2+c*d^4)^2*ln(e*x+d)/e^9,1],
[(c*x^4+b*x^2+a)^2/(e*x+d)^2,x,2,(2*a*b*e^6+6*a*c*d^2*e^4+3*b^2*d^2*e^4+10*b*c*d^4*e^2+7*c^2*d^6)*x/e^8-d*(2*a*c*e^4+b^2*e^4+4*b*c*d^2*e^2+3*c^2*d^4)*x^2/e^7+1/3*(2*a*c*e^4+b^2*e^4+6*b*c*d^2*e^2+5*c^2*d^4)*x^3/e^6-c*d*(b*e^2+c*d^2)*x^4/e^5+1/5*c*(2*b*e^2+3*c*d^2)*x^5/e^4-1/3*c^2*d*x^6/e^3+1/7*c^2*x^7/e^2-(a*e^4+b*d^2*e^2+c*d^4)^2/e^9/(e*x+d)-4*d*(b*e^2+2*c*d^2)*(a*e^4+b*d^2*e^2+c*d^4)*ln(e*x+d)/e^9,1],
[(e*x+d)^3/(c*x^4+b*x^2+a),x,10,d*(3*e^2+(-3*b*e^2+2*c*d^2)/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/sqrt(c)/sqrt(b-sqrt(-4*a*c+b^2))+d*(3*e^2-(-3*b*e^2+2*c*d^2)/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/sqrt(c)/sqrt(b+sqrt(-4*a*c+b^2))-1/2*e*(-b*e^2+6*c*d^2)*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/c/sqrt(-4*a*c+b^2)+1/4*e^3*ln(c*x^4+b*x^2+a)/c,1],
[(e*x+d)^2/(c*x^4+b*x^2+a),x,8,(e^2+(-b*e^2+2*c*d^2)/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/sqrt(c)/sqrt(b-sqrt(-4*a*c+b^2))+(e^2-(-b*e^2+2*c*d^2)/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/sqrt(c)/sqrt(b+sqrt(-4*a*c+b^2))-2*d*e*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/sqrt(-4*a*c+b^2),1],
[(e*x+d)/(c*x^4+b*x^2+a),x,8,sqrt(2)*sqrt(c)*d*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(-4*a*c+b^2)/sqrt(b-sqrt(-4*a*c+b^2))-sqrt(2)*sqrt(c)*d*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(-4*a*c+b^2)/sqrt(b+sqrt(-4*a*c+b^2))-e*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/sqrt(-4*a*c+b^2),1],
[1/(c*x^4+b*x^2+a),x,3,sqrt(2)*sqrt(c)*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(-4*a*c+b^2)/sqrt(b-sqrt(-4*a*c+b^2))-sqrt(2)*sqrt(c)*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(-4*a*c+b^2)/sqrt(b+sqrt(-4*a*c+b^2)),1],
[1/(e*x+d)/(c*x^4+b*x^2+a),x,13,sqrt(c)*d*(e^2+(b*e^2+2*c*d^2)/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/sqrt(b-sqrt(-4*a*c+b^2))/(a*e^4+b*d^2*e^2+c*d^4)+sqrt(c)*d*(e^2-(b*e^2+2*c*d^2)/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/sqrt(b+sqrt(-4*a*c+b^2))/(a*e^4+b*d^2*e^2+c*d^4)+1/2*e*(b*e^2+2*c*d^2)*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/sqrt(-4*a*c+b^2)/(a*e^4+b*d^2*e^2+c*d^4)+e^3*ln(e*x+d)/(a*e^4+b*d^2*e^2+c*d^4)-e^3*ln(c*x^4+b*x^2+a)/(4*a*e^4+4*b*d^2*e^2+4*c*d^4),1],
[1/(e*x+d)^2/(c*x^4+b*x^2+a),x,12,-e^3/(a*e^4+b*d^2*e^2+c*d^4)/(e*x+d)+sqrt(c)*(2*c^2*d^6+c*d^2*e^2*(b*d^2+3*sqrt(-4*a*c+b^2)*d^2-6*a*e^2)+(b+sqrt(-4*a*c+b^2))*e^4*(-a*e^2+b*d^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/sqrt(-4*a*c+b^2)/sqrt(b-sqrt(-4*a*c+b^2))/(a*e^4+b*d^2*e^2+c*d^4)^2-sqrt(c)*(2*c^2*d^6+c*d^2*e^2*(b*d^2-3*sqrt(-4*a*c+b^2)*d^2-6*a*e^2)+(b-sqrt(-4*a*c+b^2))*e^4*(-a*e^2+b*d^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/sqrt(-4*a*c+b^2)/sqrt(b+sqrt(-4*a*c+b^2))/(a*e^4+b*d^2*e^2+c*d^4)^2+d*e*(-2*a*c*e^4+b^2*e^4+2*b*c*d^2*e^2+2*c^2*d^4)*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/sqrt(-4*a*c+b^2)/(a*e^4+b*d^2*e^2+c*d^4)^2+2*d*e^3*(b*e^2+2*c*d^2)*ln(e*x+d)/(a*e^4+b*d^2*e^2+c*d^4)^2-1/2*d*e^3*(b*e^2+2*c*d^2)*ln(c*x^4+b*x^2+a)/(a*e^4+b*d^2*e^2+c*d^4)^2,1],
[(e*x+d)^3/(c*x^4+b*x^2+a)^2,x,10,1/2*d*x*((-2*a*c+b^2)*d^2-3*a*b*e^2+c*(-6*a*e^2+b*d^2)*x^2)/a/(-4*a*c+b^2)/(c*x^4+b*x^2+a)-1/2*e*(3*b*d^2-2*a*e^2+(-b*e^2+6*c*d^2)*x^2)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+1/2*sqrt(c)*d*(b^2*d^2+b*(sqrt(-4*a*c+b^2)*d^2+12*a*e^2)-6*a*(2*c*d^2+sqrt(-4*a*c+b^2)*e^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/a/(-4*a*c+b^2)^(3/2)/sqrt(b-sqrt(-4*a*c+b^2))+1/2*sqrt(c)*d*(b*d^2-6*a*e^2-(12*a*b*e^2-12*a*c*d^2+b^2*d^2)/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/a/(-4*a*c+b^2)/sqrt(b+sqrt(-4*a*c+b^2))+e*(-b*e^2+6*c*d^2)*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(3/2),1],
[(e*x+d)^2/(c*x^4+b*x^2+a)^2,x,10,-d*e*(2*c*x^2+b)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+1/2*x*((-2*a*c+b^2)*d^2-a*b*e^2+c*(-2*a*e^2+b*d^2)*x^2)/a/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+1/2*sqrt(c)*(b^2*d^2+b*(sqrt(-4*a*c+b^2)*d^2+4*a*e^2)-2*a*(6*c*d^2+sqrt(-4*a*c+b^2)*e^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/a/(-4*a*c+b^2)^(3/2)/sqrt(b-sqrt(-4*a*c+b^2))+1/2*sqrt(c)*(b*d^2-2*a*e^2-(4*a*b*e^2-12*a*c*d^2+b^2*d^2)/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/a/(-4*a*c+b^2)/sqrt(b+sqrt(-4*a*c+b^2))+4*c*d*e*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(3/2),1],
[(e*x+d)/(c*x^4+b*x^2+a)^2,x,10,-1/2*e*(2*c*x^2+b)/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+1/2*d*x*(b*c*x^2-2*a*c+b^2)/a/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+1/2*sqrt(c)*(b^2-12*a*c+b*sqrt(-4*a*c+b^2))*d*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/a/(-4*a*c+b^2)^(3/2)/sqrt(b-sqrt(-4*a*c+b^2))-1/2*sqrt(c)*(b^2-12*a*c-b*sqrt(-4*a*c+b^2))*d*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/a/(-4*a*c+b^2)^(3/2)/sqrt(b+sqrt(-4*a*c+b^2))+2*c*e*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(3/2),1],
[1/(c*x^4+b*x^2+a)^2,x,4,1/2*x*(b*c*x^2-2*a*c+b^2)/a/(-4*a*c+b^2)/(c*x^4+b*x^2+a)+1/2*sqrt(c)*(b^2-12*a*c+b*sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/a/(-4*a*c+b^2)^(3/2)/sqrt(b-sqrt(-4*a*c+b^2))-1/2*sqrt(c)*(b^2-12*a*c-b*sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/a/(-4*a*c+b^2)^(3/2)/sqrt(b+sqrt(-4*a*c+b^2)),1],
[1/(e*x+d)/(c*x^4+b*x^2+a)^2,x,24,1/2*e*(b*c*d^2+b^2*e^2-2*a*c*e^2+c*(b*e^2+2*c*d^2)*x^2)/(-4*a*c+b^2)/(a*e^4+b*d^2*e^2+c*d^4)/(c*x^4+b*x^2+a)-1/2*d*x*(a*b*c*e^2-(-2*a*c+b^2)*(b*e^2+c*d^2)-c*(-2*a*c*e^2+b^2*e^2+b*c*d^2)*x^2)/a/(-4*a*c+b^2)/(a*e^4+b*d^2*e^2+c*d^4)/(c*x^4+b*x^2+a)+sqrt(c)*d*e^4*(e^2+(b*e^2+2*c*d^2)/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/sqrt(b-sqrt(-4*a*c+b^2))/(a*e^4+b*d^2*e^2+c*d^4)^2+1/2*sqrt(c)*d*(b^3*e^2+b*c*(sqrt(-4*a*c+b^2)*d^2-8*a*e^2)+b^2*(c*d^2+sqrt(-4*a*c+b^2)*e^2)-2*a*c*(6*c*d^2+sqrt(-4*a*c+b^2)*e^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/a/(-4*a*c+b^2)^(3/2)/sqrt(b-sqrt(-4*a*c+b^2))/(a*e^4+b*d^2*e^2+c*d^4)+sqrt(c)*d*e^4*(e^2-(b*e^2+2*c*d^2)/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/sqrt(b+sqrt(-4*a*c+b^2))/(a*e^4+b*d^2*e^2+c*d^4)^2+1/2*sqrt(c)*d*(b*c*d^2+b^2*e^2-2*a*c*e^2-(-8*a*b*c*e^2-12*a*c^2*d^2+b^3*e^2+b^2*c*d^2)/sqrt(-4*a*c+b^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/a/(-4*a*c+b^2)/sqrt(b+sqrt(-4*a*c+b^2))/(a*e^4+b*d^2*e^2+c*d^4)+1/2*e^5*(b*e^2+2*c*d^2)*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/sqrt(-4*a*c+b^2)/(a*e^4+b*d^2*e^2+c*d^4)^2-c*e*(b*e^2+2*c*d^2)*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(3/2)/(a*e^4+b*d^2*e^2+c*d^4)+e^7*ln(e*x+d)/(a*e^4+b*d^2*e^2+c*d^4)^2-1/4*e^7*ln(c*x^4+b*x^2+a)/(a*e^4+b*d^2*e^2+c*d^4)^2,1],
[1/(e*x+d)^2/(c*x^4+b*x^2+a)^2,x,22,-e^7/(a*e^4+b*d^2*e^2+c*d^4)^2/(e*x+d)+d*e*(2*b^2*c*d^2*e^2-4*a*c^2*d^2*e^2+b^3*e^4+b*c*(-3*a*e^4+c*d^4)+c*(-2*a*c*e^4+b^2*e^4+2*b*c*d^2*e^2+2*c^2*d^4)*x^2)/(-4*a*c+b^2)/(a*e^4+b*d^2*e^2+c*d^4)^2/(c*x^4+b*x^2+a)-1/2*x*(a*b*c*e^2*(-a*e^4+b*d^2*e^2+3*c*d^4)-(-2*a*c+b^2)*(-a*b*e^6-3*a*c*d^2*e^4+b^2*d^2*e^4+2*b*c*d^4*e^2+c^2*d^6)-c*(b^3*d^2*e^4+b*c*d^2*(-5*a*e^4+c*d^4)-2*a*c*e^2*(-a*e^4+3*c*d^4)+b^2*(-a*e^6+2*c*d^4*e^2))*x^2)/a/(-4*a*c+b^2)/(a*e^4+b*d^2*e^2+c*d^4)^2/(c*x^4+b*x^2+a)+sqrt(c)*e^4*(10*c^2*d^6+c*d^2*e^2*(9*b*d^2+7*sqrt(-4*a*c+b^2)*d^2-6*a*e^2)+(b+sqrt(-4*a*c+b^2))*e^4*(-a*e^2+3*b*d^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/sqrt(-4*a*c+b^2)/sqrt(b-sqrt(-4*a*c+b^2))/(a*e^4+b*d^2*e^2+c*d^4)^3+1/2*sqrt(c)*(b^4*d^2*e^4+b^3*(2*c*d^4*e^2+sqrt(-4*a*c+b^2)*d^2*e^4-a*e^6)+b*c*(c*sqrt(-4*a*c+b^2)*d^6-12*a*c*d^4*e^2-5*a*sqrt(-4*a*c+b^2)*d^2*e^4+8*a^2*e^6)-2*a*c*(6*c^2*d^6+3*c*sqrt(-4*a*c+b^2)*d^4*e^2-18*a*c*d^2*e^4-a*sqrt(-4*a*c+b^2)*e^6)+b^2*(c^2*d^6+2*c*sqrt(-4*a*c+b^2)*d^4*e^2-11*a*c*d^2*e^4-a*sqrt(-4*a*c+b^2)*e^6))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b-sqrt(-4*a*c+b^2)))/sqrt(2)/a/(-4*a*c+b^2)^(3/2)/sqrt(b-sqrt(-4*a*c+b^2))/(a*e^4+b*d^2*e^2+c*d^4)^2-sqrt(c)*e^4*(10*c^2*d^6+c*d^2*e^2*(9*b*d^2-7*sqrt(-4*a*c+b^2)*d^2-6*a*e^2)+(b-sqrt(-4*a*c+b^2))*e^4*(-a*e^2+3*b*d^2))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/sqrt(-4*a*c+b^2)/sqrt(b+sqrt(-4*a*c+b^2))/(a*e^4+b*d^2*e^2+c*d^4)^3-1/2*sqrt(c)*(b^4*d^2*e^4+b^2*(c^2*d^6-2*c*sqrt(-4*a*c+b^2)*d^4*e^2-11*a*c*d^2*e^4+a*sqrt(-4*a*c+b^2)*e^6)+b^3*(2*c*d^4*e^2-e^4*(sqrt(-4*a*c+b^2)*d^2+a*e^2))+b*c*(a*e^4*(5*sqrt(-4*a*c+b^2)*d^2+8*a*e^2)-c*(sqrt(-4*a*c+b^2)*d^6+12*a*d^4*e^2))-2*a*c*(6*c^2*d^6+a*sqrt(-4*a*c+b^2)*e^6-3*c*(sqrt(-4*a*c+b^2)*d^4*e^2+6*a*d^2*e^4)))*arctan(sqrt(2)*sqrt(c)*x/sqrt(b+sqrt(-4*a*c+b^2)))/sqrt(2)/a/(-4*a*c+b^2)^(3/2)/sqrt(b+sqrt(-4*a*c+b^2))/(a*e^4+b*d^2*e^2+c*d^4)^2-2*c*d*e*(-2*a*c*e^4+b^2*e^4+2*b*c*d^2*e^2+2*c^2*d^4)*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(3/2)/(a*e^4+b*d^2*e^2+c*d^4)^2+2*d*e^5*(-a*c*e^4+b^2*e^4+3*b*c*d^2*e^2+3*c^2*d^4)*arctanh((2*c*x^2+b)/sqrt(-4*a*c+b^2))/sqrt(-4*a*c+b^2)/(a*e^4+b*d^2*e^2+c*d^4)^3+4*d*e^7*(b*e^2+2*c*d^2)*ln(e*x+d)/(a*e^4+b*d^2*e^2+c*d^4)^3-d*e^7*(b*e^2+2*c*d^2)*ln(c*x^4+b*x^2+a)/(a*e^4+b*d^2*e^2+c*d^4)^3,1],
[(e*x+d)^3*sqrt(c*x^4+b*x^2+a),x,12,1/15*d*(18*a*c*e^2-6*b^2*e^2+5*b*c*d^2)*x*sqrt(c*x^4+b*x^2+a)/c^(3/2)/(sqrt(a)+sqrt(c)*x^2)+1/16*e*(-b*e^2+6*c*d^2)*(2*c*x^2+b)*sqrt(c*x^4+b*x^2+a)/c^2+1/15*d*x*(9*c*e^2*x^2+3*b*e^2+5*c*d^2)*sqrt(c*x^4+b*x^2+a)/c+1/6*e^3*(c*x^4+b*x^2+a)^(3/2)/c-1/32*(-4*a*c+b^2)*e*(-b*e^2+6*c*d^2)*arctanh(1/2*(2*c*x^2+b)/sqrt(c)/sqrt(c*x^4+b*x^2+a))/c^(5/2)-1/15*a^(1/4)*d*(18*a*c*e^2-6*b^2*e^2+5*b*c*d^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(7/4)/sqrt(c*x^4+b*x^2+a)+1/30*a^(1/4)*(b+2*sqrt(a)*sqrt(c))*d*(5*c*d^2-6*b*e^2+9*sqrt(a)*sqrt(c)*e^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(7/4)/sqrt(c*x^4+b*x^2+a),1],
[(e*x+d)^2*sqrt(c*x^4+b*x^2+a),x,11,1/15*(6*a*c*e^2-2*b^2*e^2+5*b*c*d^2)*x*sqrt(c*x^4+b*x^2+a)/c^(3/2)/(sqrt(a)+sqrt(c)*x^2)+1/4*d*e*(2*c*x^2+b)*sqrt(c*x^4+b*x^2+a)/c+1/15*x*(3*c*e^2*x^2+b*e^2+5*c*d^2)*sqrt(c*x^4+b*x^2+a)/c-1/8*(-4*a*c+b^2)*d*e*arctanh(1/2*(2*c*x^2+b)/sqrt(c)/sqrt(c*x^4+b*x^2+a))/c^(3/2)-1/15*a^(1/4)*(6*a*c*e^2-2*b^2*e^2+5*b*c*d^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(7/4)/sqrt(c*x^4+b*x^2+a)+1/30*a^(1/4)*(b+2*sqrt(a)*sqrt(c))*(5*c*d^2-2*b*e^2+3*sqrt(a)*sqrt(c)*e^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(7/4)/sqrt(c*x^4+b*x^2+a),1],
[(e*x+d)*sqrt(c*x^4+b*x^2+a),x,11,1/3*d*x*sqrt(c*x^4+b*x^2+a)+1/3*b*d*x*sqrt(c*x^4+b*x^2+a)/sqrt(c)/(sqrt(a)+sqrt(c)*x^2)+1/8*e*(2*c*x^2+b)*sqrt(c*x^4+b*x^2+a)/c-1/16*(-4*a*c+b^2)*e*arctanh(1/2*(2*c*x^2+b)/sqrt(c)/sqrt(c*x^4+b*x^2+a))/c^(3/2)-1/3*a^(1/4)*b*d*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(3/4)/sqrt(c*x^4+b*x^2+a)+1/6*a^(1/4)*(b+2*sqrt(a)*sqrt(c))*d*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(3/4)/sqrt(c*x^4+b*x^2+a),1],
[sqrt(c*x^4+b*x^2+a),x,5,1/3*x*sqrt(c*x^4+b*x^2+a)+1/3*b*x*sqrt(c*x^4+b*x^2+a)/sqrt(c)/(sqrt(a)+sqrt(c)*x^2)-1/3*a^(1/4)*b*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(3/4)/sqrt(c*x^4+b*x^2+a)+1/6*a^(1/4)*(b+2*sqrt(a)*sqrt(c))*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(3/4)/sqrt(c*x^4+b*x^2+a),1],
[sqrt(c*x^4+b*x^2+a)/(e*x+d),x,15,1/2*sqrt(c*x^4+b*x^2+a)/e-sqrt(c)*d*x*sqrt(c*x^4+b*x^2+a)/e^2/(sqrt(a)+sqrt(c)*x^2)+1/2*sqrt(a*e^4+b*d^2*e^2+c*d^4)*arctanh(sqrt(a*e^4+b*d^2*e^2+c*d^4)*x/d/e/sqrt(c*x^4+b*x^2+a))/e^3+1/4*(b*e^2+2*c*d^2)*arctanh(1/2*(2*c*x^2+b)/sqrt(c)/sqrt(c*x^4+b*x^2+a))/sqrt(c)/e^3-1/2*sqrt(a*e^4+b*d^2*e^2+c*d^4)*arctanh(1/2*(b*d^2+2*a*e^2+(b*e^2+2*c*d^2)*x^2)/sqrt(a*e^4+b*d^2*e^2+c*d^4)/sqrt(c*x^4+b*x^2+a))/e^3+a^(1/4)*c^(1/4)*d*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/e^2/sqrt(c*x^4+b*x^2+a)-1/2*a^(1/4)*d*(b*e^2+2*c*d^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(1/4)/e^2/(sqrt(c)*d^2+sqrt(a)*e^2)/sqrt(c*x^4+b*x^2+a)-1/4*(sqrt(c)*d^2-sqrt(a)*e^2)*(a*e^4+b*d^2*e^2+c*d^4)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticPi(sin(2*arctan(c^(1/4)*x/a^(1/4))),1/4*(sqrt(c)*d^2+sqrt(a)*e^2)^2/sqrt(a)/sqrt(c)/d^2/e^2,sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(1/4)/c^(1/4)/d/e^4/(sqrt(c)*d^2+sqrt(a)*e^2)/sqrt(c*x^4+b*x^2+a),1],
[sqrt(c*x^4+b*x^2+a)/(e*x+d)^2,x,18,2*sqrt(c)*x*sqrt(c*x^4+b*x^2+a)/e^2/(sqrt(a)+sqrt(c)*x^2)-d*sqrt(c*x^4+b*x^2+a)/e/(-e^2*x^2+d^2)+x*sqrt(c*x^4+b*x^2+a)/(-e^2*x^2+d^2)-1/2*d*(b*e^2+2*c*d^2)*arctanh(sqrt(a*e^4+b*d^2*e^2+c*d^4)*x/d/e/sqrt(c*x^4+b*x^2+a))/e^3/sqrt(a*e^4+b*d^2*e^2+c*d^4)-sqrt(c)*d*arctanh(1/2*(2*c*x^2+b)/sqrt(c)/sqrt(c*x^4+b*x^2+a))/e^3+1/2*d*(b*e^2+2*c*d^2)*arctanh(1/2*(b*d^2+2*a*e^2+(b*e^2+2*c*d^2)*x^2)/sqrt(a*e^4+b*d^2*e^2+c*d^4)/sqrt(c*x^4+b*x^2+a))/e^3/sqrt(a*e^4+b*d^2*e^2+c*d^4)-2*a^(1/4)*c^(1/4)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/e^2/sqrt(c*x^4+b*x^2+a)+1/2*a^(1/4)*(4*c*d^2+b*e^2+2*sqrt(a)*sqrt(c)*e^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(1/4)/e^2/(sqrt(c)*d^2+sqrt(a)*e^2)/sqrt(c*x^4+b*x^2+a)+1/4*(sqrt(c)*d^2-sqrt(a)*e^2)*(b*e^2+2*c*d^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticPi(sin(2*arctan(c^(1/4)*x/a^(1/4))),1/4*(sqrt(c)*d^2+sqrt(a)*e^2)^2/sqrt(a)/sqrt(c)/d^2/e^2,sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(1/4)/c^(1/4)/e^4/(sqrt(c)*d^2+sqrt(a)*e^2)/sqrt(c*x^4+b*x^2+a),1],
[sqrt(c*x^4+b*x^2+a)/(e*x+d)^3,x,18,-1/2*sqrt(c)*d*(b*e^2+2*c*d^2)*x*sqrt(c*x^4+b*x^2+a)/e^2/(a*e^4+b*d^2*e^2+c*d^4)/(sqrt(a)+sqrt(c)*x^2)+d*x*sqrt(c*x^4+b*x^2+a)/(-e^2*x^2+d^2)^2-1/2*d*(b*e^2+2*c*d^2)*x*sqrt(c*x^4+b*x^2+a)/(a*e^4+b*d^2*e^2+c*d^4)/(-e^2*x^2+d^2)+1/2*(d^2*(-a*e^4+c*d^4)-e^2*(a*e^4+2*b*d^2*e^2+3*c*d^4)*x^2)*sqrt(c*x^4+b*x^2+a)/e/(a*e^4+b*d^2*e^2+c*d^4)/(-e^2*x^2+d^2)^2+1/4*(a*b*e^6+6*a*c*d^2*e^4+3*b*c*d^4*e^2+2*c^2*d^6)*arctanh(sqrt(a*e^4+b*d^2*e^2+c*d^4)*x/d/e/sqrt(c*x^4+b*x^2+a))/e^3/(a*e^4+b*d^2*e^2+c*d^4)^(3/2)+1/2*sqrt(c)*arctanh(1/2*(2*c*x^2+b)/sqrt(c)/sqrt(c*x^4+b*x^2+a))/e^3-1/4*(a*b*e^6+6*a*c*d^2*e^4+3*b*c*d^4*e^2+2*c^2*d^6)*arctanh(1/2*(b*d^2+2*a*e^2+(b*e^2+2*c*d^2)*x^2)/sqrt(a*e^4+b*d^2*e^2+c*d^4)/sqrt(c*x^4+b*x^2+a))/e^3/(a*e^4+b*d^2*e^2+c*d^4)^(3/2)+1/2*a^(1/4)*c^(1/4)*d*(b*e^2+2*c*d^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/e^2/(a*e^4+b*d^2*e^2+c*d^4)/sqrt(c*x^4+b*x^2+a)-a^(1/4)*c^(3/4)*d*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/e^2/(sqrt(c)*d^2+sqrt(a)*e^2)/sqrt(c*x^4+b*x^2+a)-1/8*(c^(1/4)*d-a^(1/4)*e)*(c^(1/4)*d+a^(1/4)*e)*(a*b*e^6+6*a*c*d^2*e^4+3*b*c*d^4*e^2+2*c^2*d^6)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticPi(sin(2*arctan(c^(1/4)*x/a^(1/4))),1/4*(sqrt(c)*d^2+sqrt(a)*e^2)^2/sqrt(a)/sqrt(c)/d^2/e^2,sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(1/4)/c^(1/4)/d/e^4/(sqrt(c)*d^2+sqrt(a)*e^2)/(a*e^4+b*d^2*e^2+c*d^4)/sqrt(c*x^4+b*x^2+a),1],
[(e*x+d)^3*(c*x^4+b*x^2+a)^(3/2),x,14,-1/105*d*(-84*a^2*c^2*e^2+57*a*b^2*c*e^2-48*a*b*c^2*d^2-8*b^4*e^2+6*b^3*c*d^2)*x*sqrt(c*x^4+b*x^2+a)/c^(5/2)/(sqrt(a)+sqrt(c)*x^2)-3/256*(-4*a*c+b^2)*e*(-b*e^2+6*c*d^2)*(2*c*x^2+b)*sqrt(c*x^4+b*x^2+a)/c^3+1/105*d*x*(3*b^2*c*d^2+30*a*c^2*d^2-4*b^3*e^2+9*a*b*c*e^2+3*c*(14*a*c*e^2-4*b^2*e^2+3*b*c*d^2)*x^2)*sqrt(c*x^4+b*x^2+a)/c^2+1/32*e*(-b*e^2+6*c*d^2)*(2*c*x^2+b)*(c*x^4+b*x^2+a)^(3/2)/c^2+1/21*d*x*(7*c*e^2*x^2+3*b*e^2+3*c*d^2)*(c*x^4+b*x^2+a)^(3/2)/c+1/10*e^3*(c*x^4+b*x^2+a)^(5/2)/c+3/512*(-4*a*c+b^2)^2*e*(-b*e^2+6*c*d^2)*arctanh(1/2*(2*c*x^2+b)/sqrt(c)/sqrt(c*x^4+b*x^2+a))/c^(7/2)+1/105*a^(1/4)*d*(-84*a^2*c^2*e^2+57*a*b^2*c*e^2-48*a*b*c^2*d^2-8*b^4*e^2+6*b^3*c*d^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(11/4)/sqrt(c*x^4+b*x^2+a)-1/210*a^(1/4)*(b+2*sqrt(a)*sqrt(c))*d*(6*b^2*c*d^2-9*sqrt(a)*b*c^(3/2)*d^2-30*a*c^2*d^2-8*b^3*e^2+12*sqrt(a)*b^2*sqrt(c)*e^2+33*a*b*c*e^2-42*a^(3/2)*c^(3/2)*e^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(11/4)/sqrt(c*x^4+b*x^2+a),1],
[(e*x+d)^2*(c*x^4+b*x^2+a)^(3/2),x,13,-1/315*(-84*a^2*c^2*e^2+57*a*b^2*c*e^2-144*a*b*c^2*d^2-8*b^4*e^2+18*b^3*c*d^2)*x*sqrt(c*x^4+b*x^2+a)/c^(5/2)/(sqrt(a)+sqrt(c)*x^2)-3/64*(-4*a*c+b^2)*d*e*(2*c*x^2+b)*sqrt(c*x^4+b*x^2+a)/c^2+1/315*x*(9*b^2*c*d^2+90*a*c^2*d^2-4*b^3*e^2+9*a*b*c*e^2+3*c*(14*a*c*e^2-4*b^2*e^2+9*b*c*d^2)*x^2)*sqrt(c*x^4+b*x^2+a)/c^2+1/8*d*e*(2*c*x^2+b)*(c*x^4+b*x^2+a)^(3/2)/c+1/63*x*(7*c*e^2*x^2+3*b*e^2+9*c*d^2)*(c*x^4+b*x^2+a)^(3/2)/c+3/128*(-4*a*c+b^2)^2*d*e*arctanh(1/2*(2*c*x^2+b)/sqrt(c)/sqrt(c*x^4+b*x^2+a))/c^(5/2)+1/315*a^(1/4)*(-84*a^2*c^2*e^2+57*a*b^2*c*e^2-144*a*b*c^2*d^2-8*b^4*e^2+18*b^3*c*d^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(11/4)/sqrt(c*x^4+b*x^2+a)-1/630*a^(1/4)*(b+2*sqrt(a)*sqrt(c))*(18*b^2*c*d^2-27*sqrt(a)*b*c^(3/2)*d^2-90*a*c^2*d^2-8*b^3*e^2+12*sqrt(a)*b^2*sqrt(c)*e^2+33*a*b*c*e^2-42*a^(3/2)*c^(3/2)*e^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(11/4)/sqrt(c*x^4+b*x^2+a),1],
[(e*x+d)*(c*x^4+b*x^2+a)^(3/2),x,13,-2/35*b*(-8*a*c+b^2)*d*x*sqrt(c*x^4+b*x^2+a)/c^(3/2)/(sqrt(a)+sqrt(c)*x^2)-3/128*(-4*a*c+b^2)*e*(2*c*x^2+b)*sqrt(c*x^4+b*x^2+a)/c^2+1/35*d*x*(3*b*c*x^2+10*a*c+b^2)*sqrt(c*x^4+b*x^2+a)/c+1/7*d*x*(c*x^4+b*x^2+a)^(3/2)+1/16*e*(2*c*x^2+b)*(c*x^4+b*x^2+a)^(3/2)/c+3/256*(-4*a*c+b^2)^2*e*arctanh(1/2*(2*c*x^2+b)/sqrt(c)/sqrt(c*x^4+b*x^2+a))/c^(5/2)+2/35*a^(1/4)*b*(-8*a*c+b^2)*d*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(7/4)/sqrt(c*x^4+b*x^2+a)-1/70*a^(1/4)*(sqrt(a)*(-20*a*c+b^2)+2*b*(-8*a*c+b^2)/sqrt(c))*d*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(5/4)/sqrt(c*x^4+b*x^2+a),1],
[(c*x^4+b*x^2+a)^(3/2),x,6,-2/35*b*(-8*a*c+b^2)*x*sqrt(c*x^4+b*x^2+a)/c^(3/2)/(sqrt(a)+sqrt(c)*x^2)+1/35*x*(3*b*c*x^2+10*a*c+b^2)*sqrt(c*x^4+b*x^2+a)/c+1/7*x*(c*x^4+b*x^2+a)^(3/2)+2/35*a^(1/4)*b*(-8*a*c+b^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(7/4)/sqrt(c*x^4+b*x^2+a)-1/70*a^(1/4)*(sqrt(a)*(-20*a*c+b^2)+2*b*(-8*a*c+b^2)/sqrt(c))*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(5/4)/sqrt(c*x^4+b*x^2+a),1],
[(c*x^4+b*x^2+a)^(3/2)/(e*x+d),x,18,-1/15*d*(6*b*e^2+5*c*d^2)*x*sqrt(c*x^4+b*x^2+a)/e^4-1/5*c*d*x^3*sqrt(c*x^4+b*x^2+a)/e^2-1/15*d*(21*a*c*e^4+3*b^2*e^4+20*b*c*d^2*e^2+15*c^2*d^4)*x*sqrt(c*x^4+b*x^2+a)/sqrt(c)/e^6/(sqrt(a)+sqrt(c)*x^2)+1/16*(8*c^2*d^4+10*b*c*d^2*e^2+b^2*e^4+8*a*c*e^4+2*c*e^2*(b*e^2+2*c*d^2)*x^2)*sqrt(c*x^4+b*x^2+a)/c/e^5+1/6*(c*x^4+b*x^2+a)^(3/2)/e+1/2*(a*e^4+b*d^2*e^2+c*d^4)^(3/2)*arctanh(sqrt(a*e^4+b*d^2*e^2+c*d^4)*x/d/e/sqrt(c*x^4+b*x^2+a))/e^7+1/32*(b*e^2+2*c*d^2)*(12*a*c*e^4-b^2*e^4+8*b*c*d^2*e^2+8*c^2*d^4)*arctanh(1/2*(2*c*x^2+b)/sqrt(c)/sqrt(c*x^4+b*x^2+a))/c^(3/2)/e^7-1/2*(a*e^4+b*d^2*e^2+c*d^4)^(3/2)*arctanh(1/2*(b*d^2+2*a*e^2+(b*e^2+2*c*d^2)*x^2)/sqrt(a*e^4+b*d^2*e^2+c*d^4)/sqrt(c*x^4+b*x^2+a))/e^7+1/15*a^(1/4)*d*(21*a*c*e^4+3*b^2*e^4+20*b*c*d^2*e^2+15*c^2*d^4)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(3/4)/e^6/sqrt(c*x^4+b*x^2+a)-1/30*a^(1/4)*d*(30*c^(5/2)*d^6+10*sqrt(a)*c^2*d^4*e^2+3*sqrt(a)*b^2*e^6+2*sqrt(a)*c*e^4*(3*a*e^2+7*b*d^2)+6*b*sqrt(c)*e^4*(4*a*e^2+3*b*d^2)+c^(3/2)*(46*a*d^2*e^4+50*b*d^4*e^2))*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(3/4)/e^6/(sqrt(c)*d^2+sqrt(a)*e^2)/sqrt(c*x^4+b*x^2+a)-1/4*(sqrt(c)*d^2-sqrt(a)*e^2)*(a*e^4+b*d^2*e^2+c*d^4)^2*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticPi(sin(2*arctan(c^(1/4)*x/a^(1/4))),1/4*(sqrt(c)*d^2+sqrt(a)*e^2)^2/sqrt(a)/sqrt(c)/d^2/e^2,sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(1/4)/c^(1/4)/d/e^8/(sqrt(c)*d^2+sqrt(a)*e^2)/sqrt(c*x^4+b*x^2+a),1],
[(c*x^4+b*x^2+a)^(3/2)/(e*x+d)^2,x,20,1/5*(2*b*e^2+5*c*d^2)*x*sqrt(c*x^4+b*x^2+a)/e^4+1/5*c*x^3*sqrt(c*x^4+b*x^2+a)/e^2+1/5*(12*a*c*e^4+b^2*e^4+25*b*c*d^2*e^2+30*c^2*d^4)*x*sqrt(c*x^4+b*x^2+a)/sqrt(c)/e^6/(sqrt(a)+sqrt(c)*x^2)+(a*e^4+b*d^2*e^2+c*d^4)*x*sqrt(c*x^4+b*x^2+a)/e^4/(-e^2*x^2+d^2)-3/4*d*(2*c*e^2*x^2+3*b*e^2+4*c*d^2)*sqrt(c*x^4+b*x^2+a)/e^5-d*(c*x^4+b*x^2+a)^(3/2)/e/(-e^2*x^2+d^2)-3/2*d*(b*e^2+2*c*d^2)*sqrt(a*e^4+b*d^2*e^2+c*d^4)*arctanh(sqrt(a*e^4+b*d^2*e^2+c*d^4)*x/d/e/sqrt(c*x^4+b*x^2+a))/e^7-3/8*d*(4*a*c*e^4+b^2*e^4+8*b*c*d^2*e^2+8*c^2*d^4)*arctanh(1/2*(2*c*x^2+b)/sqrt(c)/sqrt(c*x^4+b*x^2+a))/sqrt(c)/e^7+3/2*d*(b*e^2+2*c*d^2)*sqrt(a*e^4+b*d^2*e^2+c*d^4)*arctanh(1/2*(b*d^2+2*a*e^2+(b*e^2+2*c*d^2)*x^2)/sqrt(a*e^4+b*d^2*e^2+c*d^4)/sqrt(c*x^4+b*x^2+a))/e^7-1/5*a^(1/4)*(12*a*c*e^4+b^2*e^4+25*b*c*d^2*e^2+30*c^2*d^4)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(3/4)/e^6/sqrt(c*x^4+b*x^2+a)+1/10*a^(1/4)*(60*c^(5/2)*d^6+20*sqrt(a)*c^2*d^4*e^2+sqrt(a)*b^2*e^6+8*b*sqrt(c)*e^4*(a*e^2+2*b*d^2)+6*sqrt(a)*c*e^4*(2*a*e^2+3*b*d^2)+c^(3/2)*(32*a*d^2*e^4+70*b*d^4*e^2))*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(3/4)/e^6/(sqrt(c)*d^2+sqrt(a)*e^2)/sqrt(c*x^4+b*x^2+a)+3/4*(sqrt(c)*d^2-sqrt(a)*e^2)*(b*e^2+2*c*d^2)*(a*e^4+b*d^2*e^2+c*d^4)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticPi(sin(2*arctan(c^(1/4)*x/a^(1/4))),1/4*(sqrt(c)*d^2+sqrt(a)*e^2)^2/sqrt(a)/sqrt(c)/d^2/e^2,sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(1/4)/c^(1/4)/e^8/(sqrt(c)*d^2+sqrt(a)*e^2)/sqrt(c*x^4+b*x^2+a),1],
[(e*x+d)^3/sqrt(c*x^4+b*x^2+a),x,10,1/2*e^3*sqrt(c*x^4+b*x^2+a)/c+3*d*e^2*x*sqrt(c*x^4+b*x^2+a)/sqrt(c)/(sqrt(a)+sqrt(c)*x^2)+1/4*e*(-b*e^2+6*c*d^2)*arctanh(1/2*(2*c*x^2+b)/sqrt(c)/sqrt(c*x^4+b*x^2+a))/c^(3/2)-3*a^(1/4)*d*e^2*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(3/4)/sqrt(c*x^4+b*x^2+a)+1/2*d*(sqrt(c)*d^2+3*sqrt(a)*e^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(1/4)/c^(3/4)/sqrt(c*x^4+b*x^2+a),1],
[(e*x+d)^2/sqrt(c*x^4+b*x^2+a),x,9,e^2*x*sqrt(c*x^4+b*x^2+a)/sqrt(c)/(sqrt(a)+sqrt(c)*x^2)+d*e*arctanh(1/2*(2*c*x^2+b)/sqrt(c)/sqrt(c*x^4+b*x^2+a))/sqrt(c)-a^(1/4)*e^2*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/c^(3/4)/sqrt(c*x^4+b*x^2+a)+1/2*(sqrt(c)*d^2+sqrt(a)*e^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(1/4)/c^(3/4)/sqrt(c*x^4+b*x^2+a),1],
[(e*x+d)/sqrt(c*x^4+b*x^2+a),x,6,1/2*e*arctanh(1/2*(2*c*x^2+b)/sqrt(c)/sqrt(c*x^4+b*x^2+a))/sqrt(c)+1/2*d*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(1/4)/c^(1/4)/sqrt(c*x^4+b*x^2+a),1],
[1/sqrt(c*x^4+b*x^2+a),x,1,1/2*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(1/4)/c^(1/4)/sqrt(c*x^4+b*x^2+a),1],
[1/(e*x+d)/sqrt(c*x^4+b*x^2+a),x,8,1/2*e*arctanh(sqrt(a*e^4+b*d^2*e^2+c*d^4)*x/d/e/sqrt(c*x^4+b*x^2+a))/sqrt(a*e^4+b*d^2*e^2+c*d^4)-1/2*e*arctanh(1/2*(b*d^2+2*a*e^2+(b*e^2+2*c*d^2)*x^2)/sqrt(a*e^4+b*d^2*e^2+c*d^4)/sqrt(c*x^4+b*x^2+a))/sqrt(a*e^4+b*d^2*e^2+c*d^4)+1/2*c^(1/4)*d*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(1/4)/(sqrt(c)*d^2+sqrt(a)*e^2)/sqrt(c*x^4+b*x^2+a)-1/4*(sqrt(c)*d^2-sqrt(a)*e^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticPi(sin(2*arctan(c^(1/4)*x/a^(1/4))),1/4*(sqrt(c)*d^2+sqrt(a)*e^2)^2/sqrt(a)/sqrt(c)/d^2/e^2,sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(1/4)/c^(1/4)/d/(sqrt(c)*d^2+sqrt(a)*e^2)/sqrt(c*x^4+b*x^2+a),1],
[1/(e*x+d)^2/sqrt(c*x^4+b*x^2+a),x,13,-e^3*sqrt(c*x^4+b*x^2+a)/(a*e^4+b*d^2*e^2+c*d^4)/(e*x+d)+sqrt(c)*e^2*x*sqrt(c*x^4+b*x^2+a)/(a*e^4+b*d^2*e^2+c*d^4)/(sqrt(a)+sqrt(c)*x^2)+1/2*d*e*(b*e^2+2*c*d^2)*arctanh(sqrt(a*e^4+b*d^2*e^2+c*d^4)*x/d/e/sqrt(c*x^4+b*x^2+a))/(a*e^4+b*d^2*e^2+c*d^4)^(3/2)-1/2*d*e*(b*e^2+2*c*d^2)*arctanh(1/2*(b*d^2+2*a*e^2+(b*e^2+2*c*d^2)*x^2)/sqrt(a*e^4+b*d^2*e^2+c*d^4)/sqrt(c*x^4+b*x^2+a))/(a*e^4+b*d^2*e^2+c*d^4)^(3/2)-a^(1/4)*c^(1/4)*e^2*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/(a*e^4+b*d^2*e^2+c*d^4)/sqrt(c*x^4+b*x^2+a)+1/2*c^(1/4)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(1/4)/(sqrt(c)*d^2+sqrt(a)*e^2)/sqrt(c*x^4+b*x^2+a)-1/4*(sqrt(c)*d^2-sqrt(a)*e^2)*(b*e^2+2*c*d^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticPi(sin(2*arctan(c^(1/4)*x/a^(1/4))),1/4*(sqrt(c)*d^2+sqrt(a)*e^2)^2/sqrt(a)/sqrt(c)/d^2/e^2,sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(1/4)/c^(1/4)/(sqrt(c)*d^2+sqrt(a)*e^2)/(a*e^4+b*d^2*e^2+c*d^4)/sqrt(c*x^4+b*x^2+a),1],
[(e*x+d)^3/(c*x^4+b*x^2+a)^(3/2),x,9,d*x*((-2*a*c+b^2)*d^2-3*a*b*e^2+c*(-6*a*e^2+b*d^2)*x^2)/a/(-4*a*c+b^2)/sqrt(c*x^4+b*x^2+a)-e*(3*b*d^2-2*a*e^2+(-b*e^2+6*c*d^2)*x^2)/(-4*a*c+b^2)/sqrt(c*x^4+b*x^2+a)-sqrt(c)*d*(-6*a*e^2+b*d^2)*x*sqrt(c*x^4+b*x^2+a)/a/(-4*a*c+b^2)/(sqrt(a)+sqrt(c)*x^2)+c^(1/4)*d*(-6*a*e^2+b*d^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(3/4)/(-4*a*c+b^2)/sqrt(c*x^4+b*x^2+a)-1/2*d*(sqrt(c)*d^2-3*sqrt(a)*e^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(3/4)/(b-2*sqrt(a)*sqrt(c))/c^(1/4)/sqrt(c*x^4+b*x^2+a),1],
[(e*x+d)^2/(c*x^4+b*x^2+a)^(3/2),x,9,-2*d*e*(2*c*x^2+b)/(-4*a*c+b^2)/sqrt(c*x^4+b*x^2+a)+x*((-2*a*c+b^2)*d^2-a*b*e^2+c*(-2*a*e^2+b*d^2)*x^2)/a/(-4*a*c+b^2)/sqrt(c*x^4+b*x^2+a)-sqrt(c)*(-2*a*e^2+b*d^2)*x*sqrt(c*x^4+b*x^2+a)/a/(-4*a*c+b^2)/(sqrt(a)+sqrt(c)*x^2)+c^(1/4)*(-2*a*e^2+b*d^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(3/4)/(-4*a*c+b^2)/sqrt(c*x^4+b*x^2+a)-1/2*(sqrt(c)*d^2-sqrt(a)*e^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(3/4)/(b-2*sqrt(a)*sqrt(c))/c^(1/4)/sqrt(c*x^4+b*x^2+a),1],
[(e*x+d)/(c*x^4+b*x^2+a)^(3/2),x,9,-e*(2*c*x^2+b)/(-4*a*c+b^2)/sqrt(c*x^4+b*x^2+a)+d*x*(b*c*x^2-2*a*c+b^2)/a/(-4*a*c+b^2)/sqrt(c*x^4+b*x^2+a)-b*sqrt(c)*d*x*sqrt(c*x^4+b*x^2+a)/a/(-4*a*c+b^2)/(sqrt(a)+sqrt(c)*x^2)+b*c^(1/4)*d*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(3/4)/(-4*a*c+b^2)/sqrt(c*x^4+b*x^2+a)-1/2*c^(1/4)*d*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(3/4)/(b-2*sqrt(a)*sqrt(c))/sqrt(c*x^4+b*x^2+a),1],
[1/(c*x^4+b*x^2+a)^(3/2),x,5,x*(b*c*x^2-2*a*c+b^2)/a/(-4*a*c+b^2)/sqrt(c*x^4+b*x^2+a)-b*sqrt(c)*x*sqrt(c*x^4+b*x^2+a)/a/(-4*a*c+b^2)/(sqrt(a)+sqrt(c)*x^2)+b*c^(1/4)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(3/4)/(-4*a*c+b^2)/sqrt(c*x^4+b*x^2+a)-1/2*c^(1/4)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(3/4)/(b-2*sqrt(a)*sqrt(c))/sqrt(c*x^4+b*x^2+a),1],
[1/(e*x+d)/(c*x^4+b*x^2+a)^(3/2),x,14,e*(b*c*d^2+b^2*e^2-2*a*c*e^2+c*(b*e^2+2*c*d^2)*x^2)/(-4*a*c+b^2)/(a*e^4+b*d^2*e^2+c*d^4)/sqrt(c*x^4+b*x^2+a)+d*x*(c*(-2*a*c+b^2)*d^2+b*(-3*a*c+b^2)*e^2+c*(-2*a*c*e^2+b^2*e^2+b*c*d^2)*x^2)/a/(-4*a*c+b^2)/(a*e^4+b*d^2*e^2+c*d^4)/sqrt(c*x^4+b*x^2+a)-sqrt(c)*d*(-2*a*c*e^2+b^2*e^2+b*c*d^2)*x*sqrt(c*x^4+b*x^2+a)/a/(-4*a*c+b^2)/(a*e^4+b*d^2*e^2+c*d^4)/(sqrt(a)+sqrt(c)*x^2)+1/2*e^5*arctanh(sqrt(a*e^4+b*d^2*e^2+c*d^4)*x/d/e/sqrt(c*x^4+b*x^2+a))/(a*e^4+b*d^2*e^2+c*d^4)^(3/2)-1/2*e^5*arctanh(1/2*(b*d^2+2*a*e^2+(b*e^2+2*c*d^2)*x^2)/sqrt(a*e^4+b*d^2*e^2+c*d^4)/sqrt(c*x^4+b*x^2+a))/(a*e^4+b*d^2*e^2+c*d^4)^(3/2)+c^(1/4)*d*(-2*a*c*e^2+b^2*e^2+b*c*d^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(3/4)/(-4*a*c+b^2)/(a*e^4+b*d^2*e^2+c*d^4)/sqrt(c*x^4+b*x^2+a)-1/2*c^(3/4)*d*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(3/4)/(b-2*sqrt(a)*sqrt(c))/(sqrt(c)*d^2+sqrt(a)*e^2)/sqrt(c*x^4+b*x^2+a)-1/4*e^4*(sqrt(c)*d^2-sqrt(a)*e^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticPi(sin(2*arctan(c^(1/4)*x/a^(1/4))),1/4*(sqrt(c)*d^2+sqrt(a)*e^2)^2/sqrt(a)/sqrt(c)/d^2/e^2,sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(1/4)/c^(1/4)/d/(sqrt(c)*d^2+sqrt(a)*e^2)/(a*e^4+b*d^2*e^2+c*d^4)/sqrt(c*x^4+b*x^2+a),1],
[1/(e*x+d)^2/(c*x^4+b*x^2+a)^(3/2),x,16,e^4*x/(a*e^4+b*d^2*e^2+c*d^4)/(-e^2*x^2+d^2)/sqrt(c*x^4+b*x^2+a)+2*d*e*(b*c*d^2+b^2*e^2-2*a*c*e^2+c*(b*e^2+2*c*d^2)*x^2)/(-4*a*c+b^2)/(a*e^4+b*d^2*e^2+c*d^4)/(-e^2*x^2+d^2)/sqrt(c*x^4+b*x^2+a)-x*(a*e^2*(-b*e^2+2*c*d^2)*(b*c*d^2+(-2*a*c+b^2)*e^2)-(c*(-2*a*c+b^2)*d^2+b*(-3*a*c+b^2)*e^2)*(-3*a*e^4+b*d^2*e^2+c*d^4)-c*((b*c*d^2+(-2*a*c+b^2)*e^2)*(-3*a*e^4+b*d^2*e^2+c*d^4)-a*e^2*(-b^2*e^4+4*c^2*d^4))*x^2)/a/(-4*a*c+b^2)/(a*e^4+b*d^2*e^2+c*d^4)^2/sqrt(c*x^4+b*x^2+a)-sqrt(c)*(b^3*d^2*e^4+b*c*d^2*(-5*a*e^4+c*d^4)-6*a*c*e^2*(-a*e^4+c*d^4)+2*b^2*(-a*e^6+c*d^4*e^2))*x*sqrt(c*x^4+b*x^2+a)/a/(-4*a*c+b^2)/(a*e^4+b*d^2*e^2+c*d^4)^2/(sqrt(a)+sqrt(c)*x^2)-d*e^3*(-8*a*c*e^4+3*b^2*e^4+4*b*c*d^2*e^2+4*c^2*d^4)*sqrt(c*x^4+b*x^2+a)/(-4*a*c+b^2)/(a*e^4+b*d^2*e^2+c*d^4)^2/(-e^2*x^2+d^2)+3/2*d*e^5*(b*e^2+2*c*d^2)*arctanh(sqrt(a*e^4+b*d^2*e^2+c*d^4)*x/d/e/sqrt(c*x^4+b*x^2+a))/(a*e^4+b*d^2*e^2+c*d^4)^(5/2)-3/2*d*e^5*(b*e^2+2*c*d^2)*arctanh(1/2*(b*d^2+2*a*e^2+(b*e^2+2*c*d^2)*x^2)/sqrt(a*e^4+b*d^2*e^2+c*d^4)/sqrt(c*x^4+b*x^2+a))/(a*e^4+b*d^2*e^2+c*d^4)^(5/2)+c^(1/4)*(b^3*d^2*e^4+b*c*d^2*(-5*a*e^4+c*d^4)-6*a*c*e^2*(-a*e^4+c*d^4)+2*b^2*(-a*e^6+c*d^4*e^2))*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticE(sin(2*arctan(c^(1/4)*x/a^(1/4))),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(3/4)/(-4*a*c+b^2)/(a*e^4+b*d^2*e^2+c*d^4)^2/sqrt(c*x^4+b*x^2+a)-1/2*c^(1/4)*(c^(3/2)*d^4-2*sqrt(a)*c*d^2*e^2-2*sqrt(a)*b*e^4+sqrt(c)*(3*a*e^4+b*d^2*e^2))*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*InverseJacobiAM(2*arctan(c^(1/4)*x/a^(1/4)),sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(3/4)/(b-2*sqrt(a)*sqrt(c))/(sqrt(c)*d^2+sqrt(a)*e^2)/(a*e^4+b*d^2*e^2+c*d^4)/sqrt(c*x^4+b*x^2+a)-3/4*e^4*(sqrt(c)*d^2-sqrt(a)*e^2)*(b*e^2+2*c*d^2)*(sqrt(a)+sqrt(c)*x^2)*sqrt((c*x^4+b*x^2+a)/(sqrt(a)+sqrt(c)*x^2)^2)*EllipticPi(sin(2*arctan(c^(1/4)*x/a^(1/4))),1/4*(sqrt(c)*d^2+sqrt(a)*e^2)^2/sqrt(a)/sqrt(c)/d^2/e^2,sqrt(1/2-1/4*b/sqrt(a)/sqrt(c)))/a^(1/4)/c^(1/4)/(sqrt(c)*d^2+sqrt(a)*e^2)/(a*e^4+b*d^2*e^2+c*d^4)^2/sqrt(c*x^4+b*x^2+a),1],
[sqrt(b^2*x^4+2*a*b*x^2)/(d*x^2+c),x,5,sqrt(b*x^2*(b*x^2+2*a))/d/x-sqrt(-2*a*d+b*c)*sqrt(b*x^2*(b*x^2+2*a))*arctan(sqrt(d)*sqrt(b*x^2+2*a)/sqrt(-2*a*d+b*c))/d^(3/2)/x/sqrt(b*x^2+2*a),1],
[sqrt(b*x^2*(b*x^2+2*a))/(d*x^2+c),x,6,sqrt(b*x^2*(b*x^2+2*a))/d/x-sqrt(-2*a*d+b*c)*sqrt(b*x^2*(b*x^2+2*a))*arctan(sqrt(d)*sqrt(b*x^2+2*a)/sqrt(-2*a*d+b*c))/d^(3/2)/x/sqrt(b*x^2+2*a),1],
[sqrt(-a^2+(b*x^2+a)^2)/(d*x^2+c),x,6,sqrt(b*x^2*(b*x^2+2*a))/d/x-sqrt(-2*a*d+b*c)*sqrt(b*x^2*(b*x^2+2*a))*arctan(sqrt(d)*sqrt(b*x^2+2*a)/sqrt(-2*a*d+b*c))/d^(3/2)/x/sqrt(b*x^2+2*a),1],
[sqrt(b*c*x^4+a*c*x^2)/(e*x^2+d),x,5,sqrt(b*c*x^4+a*c*x^2)/e/x-sqrt(-a*e+b*d)*sqrt(b*c*x^4+a*c*x^2)*arctan(sqrt(e)*sqrt(b*x^2+a)/sqrt(-a*e+b*d))/e^(3/2)/x/sqrt(b*x^2+a),1],
[sqrt(c*x^2*(b*x^2+a))/(e*x^2+d),x,6,sqrt(b*c*x^4+a*c*x^2)/e/x-sqrt(-a*e+b*d)*sqrt(b*c*x^4+a*c*x^2)*arctan(sqrt(e)*sqrt(b*x^2+a)/sqrt(-a*e+b*d))/e^(3/2)/x/sqrt(b*x^2+a),1],
[sqrt(x^2*(b*c*x^2+a*c))/(e*x^2+d),x,6,sqrt(b*c*x^4+a*c*x^2)/e/x-sqrt(-a*e+b*d)*sqrt(b*c*x^4+a*c*x^2)*arctan(sqrt(e)*sqrt(b*x^2+a)/sqrt(-a*e+b*d))/e^(3/2)/x/sqrt(b*x^2+a),1],
[sqrt(c*x*(b*x^3+a*x))/(e*x^2+d),x,6,sqrt(b*c*x^4+a*c*x^2)/e/x-sqrt(-a*e+b*d)*sqrt(b*c*x^4+a*c*x^2)*arctan(sqrt(e)*sqrt(b*x^2+a)/sqrt(-a*e+b*d))/e^(3/2)/x/sqrt(b*x^2+a),1],
[sqrt(c*(b*x^4+a*x^2))/(e*x^2+d),x,6,sqrt(b*c*x^4+a*c*x^2)/e/x-sqrt(-a*e+b*d)*sqrt(b*c*x^4+a*c*x^2)*arctan(sqrt(e)*sqrt(b*x^2+a)/sqrt(-a*e+b*d))/e^(3/2)/x/sqrt(b*x^2+a),1],
[sqrt(x*(b*c*x^3+a*c*x))/(e*x^2+d),x,6,sqrt(b*c*x^4+a*c*x^2)/e/x-sqrt(-a*e+b*d)*sqrt(b*c*x^4+a*c*x^2)*arctan(sqrt(e)*sqrt(b*x^2+a)/sqrt(-a*e+b*d))/e^(3/2)/x/sqrt(b*x^2+a),1],
[1/(e*x^2+d*x+c)/sqrt(b*x^4+a),x,18,-e^2*arctanh(sqrt(2)*sqrt(2*a*e^4+b*(d^4-4*c*d^2*e+2*c^2*e^2+d^3*sqrt(-4*c*e+d^2)-2*c*d*e*sqrt(-4*c*e+d^2)))*x/e/(d+sqrt(-4*c*e+d^2))/sqrt(b*x^4+a))/sqrt(2)/sqrt(-4*c*e+d^2)/sqrt(2*a*e^4+b*(d^4-4*c*d^2*e+2*c^2*e^2+d^3*sqrt(-4*c*e+d^2)-2*c*d*e*sqrt(-4*c*e+d^2)))+e^2*arctanh(sqrt(2)*sqrt(2*a*e^4+1/2*b*(2*d^4-8*c*d^2*e+4*c^2*e^2-2*d^3*sqrt(-4*c*e+d^2)+4*c*d*e*sqrt(-4*c*e+d^2)))*x/e/(d-sqrt(-4*c*e+d^2))/sqrt(b*x^4+a))/sqrt(2)/sqrt(-4*c*e+d^2)/sqrt(2*a*e^4+b*(d^4-4*c*d^2*e+2*c^2*e^2-d^3*sqrt(-4*c*e+d^2)+2*c*d*e*sqrt(-4*c*e+d^2)))-e^2*arctanh(1/2*(4*a*e^2+b*(d-sqrt(-4*c*e+d^2))^2*x^2)/sqrt(2)/sqrt(b*d^4-4*b*c*d^2*e+2*b*c^2*e^2+2*a*e^4-b*d*sqrt(-4*c*e+d^2)*(-2*c*e+d^2))/sqrt(b*x^4+a))/sqrt(2)/sqrt(-4*c*e+d^2)/sqrt(b*d^4-4*b*c*d^2*e+2*b*c^2*e^2+2*a*e^4-b*d*sqrt(-4*c*e+d^2)*(-2*c*e+d^2))+e^2*arctanh(1/2*(4*a*e^2+b*(d+sqrt(-4*c*e+d^2))^2*x^2)/sqrt(2)/sqrt(b*d^4-4*b*c*d^2*e+2*b*c^2*e^2+2*a*e^4+b*d*sqrt(-4*c*e+d^2)*(-2*c*e+d^2))/sqrt(b*x^4+a))/sqrt(2)/sqrt(-4*c*e+d^2)/sqrt(b*d^4-4*b*c*d^2*e+2*b*c^2*e^2+2*a*e^4+b*d*sqrt(-4*c*e+d^2)*(-2*c*e+d^2))+1/2*b^(1/4)*e*(d-sqrt(-4*c*e+d^2))*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(1/4)/sqrt(-4*c*e+d^2)/(2*sqrt(a)*e^2+sqrt(b)*(d^2-2*c*e-d*sqrt(-4*c*e+d^2)))/sqrt(b*x^4+a)-1/2*b^(1/4)*e*(d+sqrt(-4*c*e+d^2))*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*x/a^(1/4)),sqrt(1/2))/a^(1/4)/sqrt(-4*c*e+d^2)/(2*sqrt(a)*e^2+sqrt(b)*(d^2-2*c*e+d*sqrt(-4*c*e+d^2)))/sqrt(b*x^4+a)+1/2*e*(2*sqrt(a)*e^2-sqrt(b)*(d^2-2*c*e-d*sqrt(-4*c*e+d^2)))*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*EllipticPi(sin(2*arctan(b^(1/4)*x/a^(1/4))),1/16*sqrt(a)*(4*e^2+sqrt(b)*(d-sqrt(-4*c*e+d^2))^2/sqrt(a))^2/sqrt(b)/e^2/(d-sqrt(-4*c*e+d^2))^2,sqrt(1/2))/a^(1/4)/b^(1/4)/sqrt(-4*c*e+d^2)/(d-sqrt(-4*c*e+d^2))/(2*sqrt(a)*e^2+sqrt(b)*(d^2-2*c*e-d*sqrt(-4*c*e+d^2)))/sqrt(b*x^4+a)-1/2*e*(2*sqrt(a)*e^2-sqrt(b)*(d^2-2*c*e+d*sqrt(-4*c*e+d^2)))*(sqrt(a)+sqrt(b)*x^2)*sqrt((b*x^4+a)/(sqrt(a)+sqrt(b)*x^2)^2)*EllipticPi(sin(2*arctan(b^(1/4)*x/a^(1/4))),1/16*sqrt(a)*(4*e^2+sqrt(b)*(d+sqrt(-4*c*e+d^2))^2/sqrt(a))^2/sqrt(b)/e^2/(d+sqrt(-4*c*e+d^2))^2,sqrt(1/2))/a^(1/4)/b^(1/4)/sqrt(-4*c*e+d^2)/(d+sqrt(-4*c*e+d^2))/(2*sqrt(a)*e^2+sqrt(b)*(d^2-2*c*e+d*sqrt(-4*c*e+d^2)))/sqrt(b*x^4+a),1],
[sqrt(c*x^4+b*x^2+a)/(-c*d*x^4+a*d),x,4,-1/4*sqrt(b-2*sqrt(a)*sqrt(c))*arctanh(sqrt(b-2*sqrt(a)*sqrt(c))*x/sqrt(c*x^4+b*x^2+a))/sqrt(a)/sqrt(c)/d+1/4*sqrt(b+2*sqrt(a)*sqrt(c))*arctanh(sqrt(b+2*sqrt(a)*sqrt(c))*x/sqrt(c*x^4+b*x^2+a))/sqrt(a)/sqrt(c)/d,1],
[sqrt(-c*x^4+b*x^2+a)/(c*d*x^4+a*d),x,1,-1/2*sqrt(b+sqrt(4*a*c+b^2))*arctan(1/2*sqrt(b+sqrt(4*a*c+b^2))*x*(b-sqrt(4*a*c+b^2)-2*c*x^2)/sqrt(2)/sqrt(a)/sqrt(c)/sqrt(-c*x^4+b*x^2+a))/sqrt(2)/sqrt(a)/sqrt(c)/d+1/2*sqrt(-b+sqrt(4*a*c+b^2))*arctanh(1/2*sqrt(-b+sqrt(4*a*c+b^2))*x*(b+sqrt(4*a*c+b^2)-2*c*x^2)/sqrt(2)/sqrt(a)/sqrt(c)/sqrt(-c*x^4+b*x^2+a))/sqrt(2)/sqrt(a)/sqrt(c)/d,1],
[(s*x+r)^m*(a+b*(s*x+r)^5)^p,x,3,(s*x+r)^(1+m)*(a+b*(s*x+r)^5)^p*hypergeom([1/5+1/5*m, -p],[6/5+1/5*m],-b*(s*x+r)^5/a)/(1+m)/s/((1+b*(s*x+r)^5/a)^p),1],
[(s*x+r)^m*(b*s^5*x^5+5*b*r*s^4*x^4+10*b*r^2*s^3*x^3+10*b*r^3*s^2*x^2+5*b*r^4*s*x+b*r^5+a)^p,x,3,(s*x+r)^(1+m)*(a+b*(s*x+r)^5)^p*hypergeom([1/5+1/5*m, -p],[6/5+1/5*m],-b*(s*x+r)^5/a)/(1+m)/s/((1+b*(s*x+r)^5/a)^p),1],
[(2+3*x)^3/(x^6+18*x^4+324*x^3+108*x^2+216),x,14,1/1458*(297*(-6)^(1/3)+158*(-2)^(2/3)+12*3^(2/3))*arctan((3*(-2)^(2/3)*3^(1/3)+2*x)/sqrt(24+18*(-2)^(1/3)*3^(2/3)))*3^(5/6)/sqrt(8+9*I*2^(1/3)*3^(1/6)+3*2^(1/3)*3^(2/3))+1/972*(-1)^(2/3)*(6*(-6)^(2/3)+297*(-3)^(1/3)+158*2^(1/3))*arctan(2^(1/6)*(3*(-3)^(1/3)-2^(1/3)*x)/sqrt(12-9*(-3)^(2/3)*2^(1/3)))*6^(5/6)/(1+(-1)^(1/3))^2/sqrt(4-3*(-3)^(2/3)*2^(1/3))-1/2916*(158*2^(1/3)-297*3^(1/3)+6*6^(2/3))*arctanh(2^(1/6)*(3*3^(1/3)+2^(1/3)*x)/sqrt(-12+9*2^(1/3)*3^(2/3)))*6^(5/6)/sqrt(-4+3*2^(1/3)*3^(2/3))-1/648*(21*(-3)^(2/3)+2*2^(2/3))*ln(6-3*(-3)^(1/3)*2^(2/3)*x+x^2)*6^(2/3)/(1+(-1)^(1/3))^2+1/1944*(21*(-6)^(2/3)-4*(-2)^(1/3))*ln(6+3*(-2)^(2/3)*3^(1/3)*x+x^2)*3^(2/3)+1/1944*(2*2^(2/3)+21*3^(2/3))*ln(6+3*2^(2/3)*3^(1/3)*x+x^2)*6^(2/3),1],
[(2+3*x)^2/(x^6+18*x^4+324*x^3+108*x^2+216),x,14,1/1458*(18*(-6)^(1/3)+25*(-2)^(2/3)+6*3^(2/3))*arctan((3*(-2)^(2/3)*3^(1/3)+2*x)/sqrt(24+18*(-2)^(1/3)*3^(2/3)))*3^(5/6)/sqrt(8+9*I*2^(1/3)*3^(1/6)+3*2^(1/3)*3^(2/3))+1/486*(-1)^(2/3)*(25+3*(-3)^(2/3)*2^(1/3)+9*(-3)^(1/3)*2^(2/3))*arctan(2^(1/6)*(3*(-3)^(1/3)-2^(1/3)*x)/sqrt(12-9*(-3)^(2/3)*2^(1/3)))*2^(1/6)*3^(5/6)/(1+(-1)^(1/3))^2/sqrt(4-3*(-3)^(2/3)*2^(1/3))-1/1458*(25-9*2^(2/3)*3^(1/3)+3*2^(1/3)*3^(2/3))*arctanh(2^(1/6)*(3*3^(1/3)+2^(1/3)*x)/sqrt(-12+9*2^(1/3)*3^(2/3)))*2^(1/6)*3^(5/6)/sqrt(-4+3*2^(1/3)*3^(2/3))+1/324*(-1)^(2/3)*6^(1/3)*((-3)^(1/3)+3*2^(1/3))*ln(6-3*(-3)^(1/3)*2^(2/3)*x+x^2)/(1+(-1)^(1/3))^2-1/972*((-6)^(2/3)+(-2)^(1/3))*ln(6+3*(-2)^(2/3)*3^(1/3)*x+x^2)*3^(2/3)+1/972*(1-2^(1/3)*3^(2/3))*ln(6+3*2^(2/3)*3^(1/3)*x+x^2)*2^(1/3)*3^(2/3),1],
[(2+3*x)/(x^6+18*x^4+324*x^3+108*x^2+216),x,14,1/2916*(9*(-6)^(1/3)-2*(-2)^(2/3)+6*3^(2/3))*arctan((3*(-2)^(2/3)*3^(1/3)+2*x)/sqrt(24+18*(-2)^(1/3)*3^(2/3)))*3^(5/6)/sqrt(8+9*I*2^(1/3)*3^(1/6)+3*2^(1/3)*3^(2/3))+1/1944*(-1)^(2/3)*(3*(-6)^(2/3)+9*(-3)^(1/3)-2*2^(1/3))*arctan(2^(1/6)*(3*(-3)^(1/3)-2^(1/3)*x)/sqrt(12-9*(-3)^(2/3)*2^(1/3)))*6^(5/6)/(1+(-1)^(1/3))^2/sqrt(4-3*(-3)^(2/3)*2^(1/3))+1/5832*(2*2^(1/3)+9*3^(1/3)-3*6^(2/3))*arctanh(2^(1/6)*(3*3^(1/3)+2^(1/3)*x)/sqrt(-12+9*2^(1/3)*3^(2/3)))*6^(5/6)/sqrt(-4+3*2^(1/3)*3^(2/3))+1/1296*(-1)^(2/3)*(3+(-3)^(1/3)*2^(2/3))*ln(6-3*(-3)^(1/3)*2^(2/3)*x+x^2)*2^(2/3)*3^(1/3)/(1+(-1)^(1/3))^2-1/3888*((-6)^(2/3)+2*(-2)^(1/3))*ln(6+3*(-2)^(2/3)*3^(1/3)*x+x^2)*3^(2/3)+1/3888*(2^(2/3)-3^(2/3))*ln(6+3*2^(2/3)*3^(1/3)*x+x^2)*6^(2/3),1],
[1/(x^6+18*x^4+324*x^3+108*x^2+216),x,14,1/972*(-1)^(2/3)*(3*(-3)^(2/3)-2^(2/3))*arctan((3*(-3)^(1/3)*2^(2/3)-2*x)/sqrt(24-18*(-3)^(2/3)*2^(1/3)))*3^(5/6)/(1+(-1)^(1/3))^2/sqrt(8-6*(-3)^(2/3)*2^(1/3))-1/2916*((-2)^(2/3)-3*3^(2/3))*arctan((3*(-2)^(2/3)*3^(1/3)+2*x)/sqrt(24+18*(-2)^(1/3)*3^(2/3)))*3^(5/6)/sqrt(8+9*I*2^(1/3)*3^(1/6)+3*2^(1/3)*3^(2/3))+1/2916*(2^(2/3)-3*3^(2/3))*arctanh(2^(1/6)*(3*3^(1/3)+2^(1/3)*x)/sqrt(-12+9*2^(1/3)*3^(2/3)))*3^(5/6)/sqrt(-8+6*2^(1/3)*3^(2/3))-1/1296*ln(6-3*(-3)^(1/3)*2^(2/3)*x+x^2)*2^(1/3)*3^(2/3)/(1+(-1)^(1/3))^2-1/3888*(-1)^(1/3)*3^(2/3)*ln(6+3*(-2)^(2/3)*3^(1/3)*x+x^2)*2^(1/3)+1/3888*ln(6+3*2^(2/3)*3^(1/3)*x+x^2)*2^(1/3)*3^(2/3),1],
[1/(2+3*x)/(x^6+18*x^4+324*x^3+108*x^2+216),x,14,-1/3888*(-1)^(2/3)*(166-27*(-2)^(2/3)*3^(1/3)+6*(-2)^(1/3)*3^(2/3))*arctan((3*(-2)^(2/3)*3^(1/3)+2*x)/sqrt(24+18*(-2)^(1/3)*3^(2/3)))*2^(1/6)*3^(5/6)/(1-(-1)^(1/3))/(1+(-1)^(1/3))^2/(29-9*(-2)^(2/3)*3^(1/3))/sqrt(4+3*(-2)^(1/3)*3^(2/3))+1/3888*(-1)^(2/3)*(3*(-6)^(2/3)-27*(-3)^(1/3)-83*2^(1/3))*arctan(2^(1/6)*(3*(-3)^(1/3)-2^(1/3)*x)/sqrt(12-9*(-3)^(2/3)*2^(1/3)))*6^(5/6)/(1+(-1)^(1/3))^2/sqrt(4-3*(-3)^(2/3)*2^(1/3))/(29+9*(-3)^(1/3)*2^(2/3))+1/3888*(83*2^(1/3)-27*3^(1/3)-3*6^(2/3))*arctanh(2^(1/6)*(3*3^(1/3)+2^(1/3)*x)/sqrt(-12+9*2^(1/3)*3^(2/3)))*6^(5/6)/(1-(-1)^(1/3))/(1+(-1)^(1/3))^2/(29-9*2^(2/3)*3^(1/3))/sqrt(-4+3*2^(1/3)*3^(2/3))+243/125128*ln(2+3*x)-1/2592*((-6)^(2/3)+18*(-3)^(1/3)+2*2^(1/3))*ln(6-3*(-3)^(1/3)*2^(2/3)*x+x^2)*3^(2/3)/(1+(-1)^(1/3))^2/(29+9*(-3)^(1/3)*2^(2/3))+1/3888*(-1)^(2/3)*(9*(-6)^(1/3)+(-2)^(2/3)+3^(2/3))*ln(6+3*(-2)^(2/3)*3^(1/3)*x+x^2)*6^(2/3)/(58+9*2^(2/3)*3^(1/3)-9*I*2^(2/3)*3^(5/6))-(54-6^(2/3)*(2^(2/3)+3^(2/3)))*ln(6+3*2^(2/3)*3^(1/3)*x+x^2)/(225504-69984*2^(2/3)*3^(1/3)),1],
[1/(3*x^7+2*x^6+54*x^5+1008*x^4+972*x^3+216*x^2+648*x+432),x,15,-1/3888*(-1)^(2/3)*(166-27*(-2)^(2/3)*3^(1/3)+6*(-2)^(1/3)*3^(2/3))*arctan((3*(-2)^(2/3)*3^(1/3)+2*x)/sqrt(24+18*(-2)^(1/3)*3^(2/3)))*2^(1/6)*3^(5/6)/(1-(-1)^(1/3))/(1+(-1)^(1/3))^2/(29-9*(-2)^(2/3)*3^(1/3))/sqrt(4+3*(-2)^(1/3)*3^(2/3))+1/3888*(-1)^(2/3)*(3*(-6)^(2/3)-27*(-3)^(1/3)-83*2^(1/3))*arctan(2^(1/6)*(3*(-3)^(1/3)-2^(1/3)*x)/sqrt(12-9*(-3)^(2/3)*2^(1/3)))*6^(5/6)/(1+(-1)^(1/3))^2/sqrt(4-3*(-3)^(2/3)*2^(1/3))/(29+9*(-3)^(1/3)*2^(2/3))+1/3888*(83*2^(1/3)-27*3^(1/3)-3*6^(2/3))*arctanh(2^(1/6)*(3*3^(1/3)+2^(1/3)*x)/sqrt(-12+9*2^(1/3)*3^(2/3)))*6^(5/6)/(1-(-1)^(1/3))/(1+(-1)^(1/3))^2/(29-9*2^(2/3)*3^(1/3))/sqrt(-4+3*2^(1/3)*3^(2/3))+243/125128*ln(2+3*x)-1/2592*((-6)^(2/3)+18*(-3)^(1/3)+2*2^(1/3))*ln(6-3*(-3)^(1/3)*2^(2/3)*x+x^2)*3^(2/3)/(1+(-1)^(1/3))^2/(29+9*(-3)^(1/3)*2^(2/3))+1/3888*(-1)^(2/3)*(9*(-6)^(1/3)+(-2)^(2/3)+3^(2/3))*ln(6+3*(-2)^(2/3)*3^(1/3)*x+x^2)*6^(2/3)/(58+9*2^(2/3)*3^(1/3)-9*I*2^(2/3)*3^(5/6))-(54-6^(2/3)*(2^(2/3)+3^(2/3)))*ln(6+3*2^(2/3)*3^(1/3)*x+x^2)/(225504-69984*2^(2/3)*3^(1/3)),1],
[1/(2+3*x)^2/(x^6+18*x^4+324*x^3+108*x^2+216),x,14,-243/(250256+375384*x)-1/3888*(-1)^(2/3)*(274-783*(-2)^(2/3)*3^(1/3)-318*(-2)^(1/3)*3^(2/3))*arctan((3*(-2)^(2/3)*3^(1/3)+2*x)/sqrt(24+18*(-2)^(1/3)*3^(2/3)))*2^(1/6)*3^(5/6)/(1-(-1)^(1/3))/(1+(-1)^(1/3))^2/(29-9*(-2)^(2/3)*3^(1/3))^2/sqrt(4+3*(-2)^(1/3)*3^(2/3))-1/3888*(-1)^(2/3)*(159*(-6)^(2/3)+783*(-3)^(1/3)+137*2^(1/3))*arctan(2^(1/6)*(3*(-3)^(1/3)-2^(1/3)*x)/sqrt(12-9*(-3)^(2/3)*2^(1/3)))*6^(5/6)/(1+(-1)^(1/3))^2/sqrt(4-3*(-3)^(2/3)*2^(1/3))/(29+9*(-3)^(1/3)*2^(2/3))^2+1/3888*(137*2^(1/3)-783*3^(1/3)+159*6^(2/3))*arctanh(2^(1/6)*(3*3^(1/3)+2^(1/3)*x)/sqrt(-12+9*2^(1/3)*3^(2/3)))*6^(5/6)/(1-(-1)^(1/3))/(1+(-1)^(1/3))^2/(29-9*2^(2/3)*3^(1/3))^2/sqrt(-4+3*2^(1/3)*3^(2/3))-490617/489281762*ln(2+3*x)-1/2592*(83*(-6)^(2/3)+36*(-3)^(1/3)-52*2^(1/3))*ln(6-3*(-3)^(1/3)*2^(2/3)*x+x^2)*3^(2/3)/(1+(-1)^(1/3))^2/(29+9*(-3)^(1/3)*2^(2/3))^2+1/2592*(-1)^(2/3)*(18*(-6)^(1/3)-26*(-2)^(2/3)+83*3^(2/3))*ln(6+3*(-2)^(2/3)*3^(1/3)*x+x^2)*6^(2/3)/(1-(-1)^(1/3))/(1+(-1)^(1/3))^2/(29-9*(-2)^(2/3)*3^(1/3))^2-(108-249*2^(2/3)*3^(1/3)+52*2^(1/3)*3^(2/3))*ln(6+3*2^(2/3)*3^(1/3)*x+x^2)/(6539616-4059072*2^(2/3)*3^(1/3)+1259712*2^(1/3)*3^(2/3)),1],
[1/(9*x^8+12*x^7+166*x^6+3132*x^5+4932*x^4+2592*x^3+2376*x^2+2592*x+864),x,15,-243/(250256+375384*x)-1/3888*(-1)^(2/3)*(274-783*(-2)^(2/3)*3^(1/3)-318*(-2)^(1/3)*3^(2/3))*arctan((3*(-2)^(2/3)*3^(1/3)+2*x)/sqrt(24+18*(-2)^(1/3)*3^(2/3)))*2^(1/6)*3^(5/6)/(1-(-1)^(1/3))/(1+(-1)^(1/3))^2/(29-9*(-2)^(2/3)*3^(1/3))^2/sqrt(4+3*(-2)^(1/3)*3^(2/3))-1/3888*(-1)^(2/3)*(159*(-6)^(2/3)+783*(-3)^(1/3)+137*2^(1/3))*arctan(2^(1/6)*(3*(-3)^(1/3)-2^(1/3)*x)/sqrt(12-9*(-3)^(2/3)*2^(1/3)))*6^(5/6)/(1+(-1)^(1/3))^2/sqrt(4-3*(-3)^(2/3)*2^(1/3))/(29+9*(-3)^(1/3)*2^(2/3))^2+1/3888*(137*2^(1/3)-783*3^(1/3)+159*6^(2/3))*arctanh(2^(1/6)*(3*3^(1/3)+2^(1/3)*x)/sqrt(-12+9*2^(1/3)*3^(2/3)))*6^(5/6)/(1-(-1)^(1/3))/(1+(-1)^(1/3))^2/(29-9*2^(2/3)*3^(1/3))^2/sqrt(-4+3*2^(1/3)*3^(2/3))-490617/489281762*ln(2+3*x)-1/2592*(83*(-6)^(2/3)+36*(-3)^(1/3)-52*2^(1/3))*ln(6-3*(-3)^(1/3)*2^(2/3)*x+x^2)*3^(2/3)/(1+(-1)^(1/3))^2/(29+9*(-3)^(1/3)*2^(2/3))^2+1/2592*(-1)^(2/3)*(18*(-6)^(1/3)-26*(-2)^(2/3)+83*3^(2/3))*ln(6+3*(-2)^(2/3)*3^(1/3)*x+x^2)*6^(2/3)/(1-(-1)^(1/3))/(1+(-1)^(1/3))^2/(29-9*(-2)^(2/3)*3^(1/3))^2-(108-249*2^(2/3)*3^(1/3)+52*2^(1/3)*3^(2/3))*ln(6+3*2^(2/3)*3^(1/3)*x+x^2)/(6539616-4059072*2^(2/3)*3^(1/3)+1259712*2^(1/3)*3^(2/3)),1],
[(x^2+1)^2/(a*x^6+b*(x^2+1)^3),x,-2,1/3*arctan(sqrt(a^(1/3)+b^(1/3))*x/b^(1/6))/sqrt(a^(1/3)+b^(1/3))/b^(5/6)+1/3*arctan(sqrt(-(-1)^(1/3)*a^(1/3)+b^(1/3))*x/b^(1/6))/sqrt(-(-1)^(1/3)*a^(1/3)+b^(1/3))/b^(5/6)+1/3*arctan(sqrt((-1)^(2/3)*a^(1/3)+b^(1/3))*x/b^(1/6))/sqrt((-1)^(2/3)*a^(1/3)+b^(1/3))/b^(5/6),1],
[(b*x^8+a)^p*(d*x^8+c)^3,x,5,3*d*(51*a^2*d^2-9*a*b*c*d*(25+8*p)+b^2*c^2*(64*p^2+336*p+425))*x*(b*x^8+a)^(p+1)/b^3/(9+8*p)/(17+8*p)/(25+8*p)-d^2*(17*a*d-3*b*c*(25+8*p))*x^9*(b*x^8+a)^(p+1)/b^2/(17+8*p)/(25+8*p)+d^3*x^17*(b*x^8+a)^(p+1)/b/(25+8*p)+(b^3*c^3*(9+8*p)*(64*p^2+336*p+425)-3*a*d*(51*a^2*d^2-9*a*b*c*d*(25+8*p)+b^2*c^2*(64*p^2+336*p+425)))*x*(b*x^8+a)^p*hypergeom([1/8, -p],[9/8],-b*x^8/a)/b^3/(9+8*p)/(17+8*p)/(25+8*p)/((1+b*x^8/a)^p),1],
[(b*x^8+a)^p*(d*x^8+c)^2,x,4,-d*(9*a*d-2*b*c*(17+8*p))*x*(b*x^8+a)^(p+1)/b^2/(9+8*p)/(17+8*p)+d^2*x^9*(b*x^8+a)^(p+1)/b/(17+8*p)+(b^2*c^2*(9+8*p)*(17+8*p)+a*d*(9*a*d-2*b*c*(17+8*p)))*x*(b*x^8+a)^p*hypergeom([1/8, -p],[9/8],-b*x^8/a)/b^2/(9+8*p)/(17+8*p)/((1+b*x^8/a)^p),1],
[(b*x^8+a)^p*(d*x^8+c),x,3,d*x*(b*x^8+a)^(p+1)/b/(9+8*p)-(a*d-b*c*(9+8*p))*x*(b*x^8+a)^p*hypergeom([1/8, -p],[9/8],-b*x^8/a)/b/(9+8*p)/((1+b*x^8/a)^p),1],
[(b*x^8+a)^p,x,2,x*(b*x^8+a)^p*hypergeom([1/8, -p],[9/8],-b*x^8/a)/((1+b*x^8/a)^p),1],
[(b*x^8+a)^p/(d*x^8+c),x,3,x*(b*x^8+a)^p*AppellF1(1/8,-p,1,9/8,-b*x^8/a,-d*x^8/c)/c/((1+b*x^8/a)^p),1],
[(b*x^8+a)^p/(d*x^8+c)^2,x,3,x*(b*x^8+a)^p*AppellF1(1/8,-p,2,9/8,-b*x^8/a,-d*x^8/c)/c^2/((1+b*x^8/a)^p),1],
[(b*x^8+a)^p/(d*x^8+c)^3,x,3,x*(b*x^8+a)^p*AppellF1(1/8,-p,3,9/8,-b*x^8/a,-d*x^8/c)/c^3/((1+b*x^8/a)^p),1],
[(d*x^4+c)^3*(b*x^8+a)^p,x,7,3*c*d^2*x*(b*x^8+a)^(p+1)/b/(9+8*p)+d^3*x^5*(b*x^8+a)^(p+1)/b/(13+8*p)-c*(3*a*d^2-b*c^2*(9+8*p))*x*(b*x^8+a)^p*hypergeom([1/8, -p],[9/8],-b*x^8/a)/b/(9+8*p)/((1+b*x^8/a)^p)-1/5*d*(5*a*d^2-3*b*c^2*(13+8*p))*x^5*(b*x^8+a)^p*hypergeom([5/8, -p],[13/8],-b*x^8/a)/b/(13+8*p)/((1+b*x^8/a)^p),1],
[(d*x^4+c)^2*(b*x^8+a)^p,x,6,d^2*x*(b*x^8+a)^(p+1)/b/(9+8*p)-(a*d^2-b*c^2*(9+8*p))*x*(b*x^8+a)^p*hypergeom([1/8, -p],[9/8],-b*x^8/a)/b/(9+8*p)/((1+b*x^8/a)^p)+2/5*c*d*x^5*(b*x^8+a)^p*hypergeom([5/8, -p],[13/8],-b*x^8/a)/((1+b*x^8/a)^p),1],
[(d*x^4+c)*(b*x^8+a)^p,x,5,c*x*(b*x^8+a)^p*hypergeom([1/8, -p],[9/8],-b*x^8/a)/((1+b*x^8/a)^p)+1/5*d*x^5*(b*x^8+a)^p*hypergeom([5/8, -p],[13/8],-b*x^8/a)/((1+b*x^8/a)^p),1],
[(b*x^8+a)^p,x,2,x*(b*x^8+a)^p*hypergeom([1/8, -p],[9/8],-b*x^8/a)/((1+b*x^8/a)^p),1],
[(b*x^8+a)^p/(d*x^4+c),x,8,x*(b*x^8+a)^p*AppellF1(1/8,-p,1,9/8,-b*x^8/a,d^2*x^8/c^2)/c/((1+b*x^8/a)^p)-1/5*d*x^5*(b*x^8+a)^p*AppellF1(5/8,-p,1,13/8,-b*x^8/a,d^2*x^8/c^2)/c^2/((1+b*x^8/a)^p),1],
[(b*x^8+a)^p/(d*x^4+c)^2,x,11,x*(b*x^8+a)^p*AppellF1(1/8,-p,2,9/8,-b*x^8/a,d^2*x^8/c^2)/c^2/((1+b*x^8/a)^p)-2/5*d*x^5*(b*x^8+a)^p*AppellF1(5/8,-p,2,13/8,-b*x^8/a,d^2*x^8/c^2)/c^3/((1+b*x^8/a)^p)+1/9*d^2*x^9*(b*x^8+a)^p*AppellF1(9/8,-p,2,17/8,-b*x^8/a,d^2*x^8/c^2)/c^4/((1+b*x^8/a)^p),1],
[(b*x^8+a)^p/(d*x^4+c)^3,x,14,x*(b*x^8+a)^p*AppellF1(1/8,-p,3,9/8,-b*x^8/a,d^2*x^8/c^2)/c^3/((1+b*x^8/a)^p)-3/5*d*x^5*(b*x^8+a)^p*AppellF1(5/8,-p,3,13/8,-b*x^8/a,d^2*x^8/c^2)/c^4/((1+b*x^8/a)^p)+1/3*d^2*x^9*(b*x^8+a)^p*AppellF1(9/8,-p,3,17/8,-b*x^8/a,d^2*x^8/c^2)/c^5/((1+b*x^8/a)^p)-1/13*d^3*x^13*(b*x^8+a)^p*AppellF1(13/8,-p,3,21/8,-b*x^8/a,d^2*x^8/c^2)/c^6/((1+b*x^8/a)^p),1],
[(d*x^2+c)^3*(b*x^8+a)^p,x,10,c^3*x*(b*x^8+a)^p*hypergeom([1/8, -p],[9/8],-b*x^8/a)/((1+b*x^8/a)^p)+c^2*d*x^3*(b*x^8+a)^p*hypergeom([3/8, -p],[11/8],-b*x^8/a)/((1+b*x^8/a)^p)+3/5*c*d^2*x^5*(b*x^8+a)^p*hypergeom([5/8, -p],[13/8],-b*x^8/a)/((1+b*x^8/a)^p)+1/7*d^3*x^7*(b*x^8+a)^p*hypergeom([7/8, -p],[15/8],-b*x^8/a)/((1+b*x^8/a)^p),1],
[(d*x^2+c)^2*(b*x^8+a)^p,x,8,c^2*x*(b*x^8+a)^p*hypergeom([1/8, -p],[9/8],-b*x^8/a)/((1+b*x^8/a)^p)+2/3*c*d*x^3*(b*x^8+a)^p*hypergeom([3/8, -p],[11/8],-b*x^8/a)/((1+b*x^8/a)^p)+1/5*d^2*x^5*(b*x^8+a)^p*hypergeom([5/8, -p],[13/8],-b*x^8/a)/((1+b*x^8/a)^p),1],
[(d*x^2+c)*(b*x^8+a)^p,x,6,c*x*(b*x^8+a)^p*hypergeom([1/8, -p],[9/8],-b*x^8/a)/((1+b*x^8/a)^p)+1/3*d*x^3*(b*x^8+a)^p*hypergeom([3/8, -p],[11/8],-b*x^8/a)/((1+b*x^8/a)^p),1],
[(b*x^8+a)^p,x,2,x*(b*x^8+a)^p*hypergeom([1/8, -p],[9/8],-b*x^8/a)/((1+b*x^8/a)^p),1],
[(b*x^8+a)^p/(d*x^2+c),x,18,x*(b*x^8+a)^p*AppellF1(1/8,-p,1,9/8,-b*x^8/a,d^4*x^8/c^4)/c/((1+b*x^8/a)^p)-1/3*d*x^3*(b*x^8+a)^p*AppellF1(3/8,-p,1,11/8,-b*x^8/a,d^4*x^8/c^4)/c^2/((1+b*x^8/a)^p)+1/5*d^2*x^5*(b*x^8+a)^p*AppellF1(5/8,-p,1,13/8,-b*x^8/a,d^4*x^8/c^4)/c^3/((1+b*x^8/a)^p)-1/7*d^3*x^7*(b*x^8+a)^p*AppellF1(7/8,-p,1,15/8,-b*x^8/a,d^4*x^8/c^4)/c^4/((1+b*x^8/a)^p),1],
[(b*x^8+a)^p/(d*x^2+c)^2,x,35,x*(b*x^8+a)^p*AppellF1(1/8,-p,2,9/8,-b*x^8/a,d^4*x^8/c^4)/c^2/((1+b*x^8/a)^p)-2/3*d*x^3*(b*x^8+a)^p*AppellF1(3/8,-p,2,11/8,-b*x^8/a,d^4*x^8/c^4)/c^3/((1+b*x^8/a)^p)+3/5*d^2*x^5*(b*x^8+a)^p*AppellF1(5/8,-p,2,13/8,-b*x^8/a,d^4*x^8/c^4)/c^4/((1+b*x^8/a)^p)-4/7*d^3*x^7*(b*x^8+a)^p*AppellF1(7/8,-p,2,15/8,-b*x^8/a,d^4*x^8/c^4)/c^5/((1+b*x^8/a)^p)+1/3*d^4*x^9*(b*x^8+a)^p*AppellF1(9/8,-p,2,17/8,-b*x^8/a,d^4*x^8/c^4)/c^6/((1+b*x^8/a)^p)-2/11*d^5*x^11*(b*x^8+a)^p*AppellF1(11/8,-p,2,19/8,-b*x^8/a,d^4*x^8/c^4)/c^7/((1+b*x^8/a)^p)+1/13*d^6*x^13*(b*x^8+a)^p*AppellF1(13/8,-p,2,21/8,-b*x^8/a,d^4*x^8/c^4)/c^8/((1+b*x^8/a)^p),1],
[(d*x+c)^3*(b*x^8+a)^p,x,12,c^3*x*(b*x^8+a)^p*hypergeom([1/8, -p],[9/8],-b*x^8/a)/((1+b*x^8/a)^p)+3/2*c^2*d*x^2*(b*x^8+a)^p*hypergeom([1/4, -p],[5/4],-b*x^8/a)/((1+b*x^8/a)^p)+c*d^2*x^3*(b*x^8+a)^p*hypergeom([3/8, -p],[11/8],-b*x^8/a)/((1+b*x^8/a)^p)+1/4*d^3*x^4*(b*x^8+a)^p*hypergeom([1/2, -p],[3/2],-b*x^8/a)/((1+b*x^8/a)^p),1],
[(d*x+c)^2*(b*x^8+a)^p,x,9,c^2*x*(b*x^8+a)^p*hypergeom([1/8, -p],[9/8],-b*x^8/a)/((1+b*x^8/a)^p)+c*d*x^2*(b*x^8+a)^p*hypergeom([1/4, -p],[5/4],-b*x^8/a)/((1+b*x^8/a)^p)+1/3*d^2*x^3*(b*x^8+a)^p*hypergeom([3/8, -p],[11/8],-b*x^8/a)/((1+b*x^8/a)^p),1],
[(d*x+c)*(b*x^8+a)^p,x,7,c*x*(b*x^8+a)^p*hypergeom([1/8, -p],[9/8],-b*x^8/a)/((1+b*x^8/a)^p)+1/2*d*x^2*(b*x^8+a)^p*hypergeom([1/4, -p],[5/4],-b*x^8/a)/((1+b*x^8/a)^p),1],
[(b*x^8+a)^p,x,2,x*(b*x^8+a)^p*hypergeom([1/8, -p],[9/8],-b*x^8/a)/((1+b*x^8/a)^p),1],
[(b*x^8+a)^p/(d*x+c),x,37,x*(b*x^8+a)^p*AppellF1(1/8,-p,1,9/8,-b*x^8/a,d^8*x^8/c^8)/c/((1+b*x^8/a)^p)-1/2*d*x^2*(b*x^8+a)^p*AppellF1(1/4,-p,1,5/4,-b*x^8/a,d^8*x^8/c^8)/c^2/((1+b*x^8/a)^p)+1/3*d^2*x^3*(b*x^8+a)^p*AppellF1(3/8,-p,1,11/8,-b*x^8/a,d^8*x^8/c^8)/c^3/((1+b*x^8/a)^p)-1/4*d^3*x^4*(b*x^8+a)^p*AppellF1(1/2,-p,1,3/2,-b*x^8/a,d^8*x^8/c^8)/c^4/((1+b*x^8/a)^p)+1/5*d^4*x^5*(b*x^8+a)^p*AppellF1(5/8,-p,1,13/8,-b*x^8/a,d^8*x^8/c^8)/c^5/((1+b*x^8/a)^p)-1/6*d^5*x^6*(b*x^8+a)^p*AppellF1(3/4,-p,1,7/4,-b*x^8/a,d^8*x^8/c^8)/c^6/((1+b*x^8/a)^p)+1/7*d^6*x^7*(b*x^8+a)^p*AppellF1(7/8,-p,1,15/8,-b*x^8/a,d^8*x^8/c^8)/c^7/((1+b*x^8/a)^p)-1/8*d^7*(b*x^8+a)^(p+1)*hypergeom([1, p+1],[2+p],d^8*(b*x^8+a)/(a*d^8+b*c^8))/(a*d^8+b*c^8)/(p+1),1],
[(b*x^8+a)^p/(d*x+c)^2,x,108,x*(b*x^8+a)^p*AppellF1(1/8,-p,2,9/8,-b*x^8/a,d^8*x^8/c^8)/c^2/((1+b*x^8/a)^p)-d*x^2*(b*x^8+a)^p*AppellF1(1/4,-p,2,5/4,-b*x^8/a,d^8*x^8/c^8)/c^3/((1+b*x^8/a)^p)+d^2*x^3*(b*x^8+a)^p*AppellF1(3/8,-p,2,11/8,-b*x^8/a,d^8*x^8/c^8)/c^4/((1+b*x^8/a)^p)-d^3*x^4*(b*x^8+a)^p*AppellF1(1/2,-p,2,3/2,-b*x^8/a,d^8*x^8/c^8)/c^5/((1+b*x^8/a)^p)+d^4*x^5*(b*x^8+a)^p*AppellF1(5/8,-p,2,13/8,-b*x^8/a,d^8*x^8/c^8)/c^6/((1+b*x^8/a)^p)-d^5*x^6*(b*x^8+a)^p*AppellF1(3/4,-p,2,7/4,-b*x^8/a,d^8*x^8/c^8)/c^7/((1+b*x^8/a)^p)+d^6*x^7*(b*x^8+a)^p*AppellF1(7/8,-p,2,15/8,-b*x^8/a,d^8*x^8/c^8)/c^8/((1+b*x^8/a)^p)+7/9*d^8*x^9*(b*x^8+a)^p*AppellF1(9/8,-p,2,17/8,-b*x^8/a,d^8*x^8/c^8)/c^10/((1+b*x^8/a)^p)-3/5*d^9*x^10*(b*x^8+a)^p*AppellF1(5/4,-p,2,9/4,-b*x^8/a,d^8*x^8/c^8)/c^11/((1+b*x^8/a)^p)+5/11*d^10*x^11*(b*x^8+a)^p*AppellF1(11/8,-p,2,19/8,-b*x^8/a,d^8*x^8/c^8)/c^12/((1+b*x^8/a)^p)-1/3*d^11*x^12*(b*x^8+a)^p*AppellF1(3/2,-p,2,5/2,-b*x^8/a,d^8*x^8/c^8)/c^13/((1+b*x^8/a)^p)+3/13*d^12*x^13*(b*x^8+a)^p*AppellF1(13/8,-p,2,21/8,-b*x^8/a,d^8*x^8/c^8)/c^14/((1+b*x^8/a)^p)-1/7*d^13*x^14*(b*x^8+a)^p*AppellF1(7/4,-p,2,11/4,-b*x^8/a,d^8*x^8/c^8)/c^15/((1+b*x^8/a)^p)+1/15*d^14*x^15*(b*x^8+a)^p*AppellF1(15/8,-p,2,23/8,-b*x^8/a,d^8*x^8/c^8)/c^16/((1+b*x^8/a)^p)-b*c^7*d^7*(b*x^8+a)^(p+1)*hypergeom([2, p+1],[2+p],d^8*(b*x^8+a)/(a*d^8+b*c^8))/(a*d^8+b*c^8)^2/(p+1),1]]: