lst:=[[(c+d*x^n)^(1/4)/(a+b*x^n)^(15/4),x,3,x*(1+b*x^n/a)^(3/4)*(c+d*x^n)^(1/4)*AppellF1(1/n,15/4,-1/4,1+1/n,-b*x^n/a,-d*x^n/c)/a^3/(a+b*x^n)^(3/4)/(1+d*x^n/c)^(1/4),1],
[(c+d/x^4)^(1/4)/(a+b/x^4)^(15/4),x,4,(1+b/a/x^4)^(3/4)*(c+d/x^4)^(1/4)*x*AppellF1(-1/4,15/4,-1/4,3/4,-b/a/x^4,-d/c/x^4)/a^3/(a+b/x^4)^(3/4)/(1+d/c/x^4)^(1/4),1],
[(c+d/x^3)^(1/4)/(a+b/x^3)^(15/4),x,4,(1+b/a/x^3)^(3/4)*(c+d/x^3)^(1/4)*x*AppellF1(-1/3,15/4,-1/4,2/3,-b/a/x^3,-d/c/x^3)/a^3/(a+b/x^3)^(3/4)/(1+d/c/x^3)^(1/4),1],
[(c+d/x^2)^(1/4)/(a+b/x^2)^(15/4),x,13,2/33*b*d*(-35*a*d+41*b*c)*(c+d/x^2)^(1/4)/a^3/c/(-a*d+b*c)/(a+b/x^2)^(7/4)/x^3-d*(c+d/x^2)^(1/4)/a/c/(a+b/x^2)^(11/4)/x+1/77*b*(-11*a*d+9*b*c)*(-a*d+13*b*c)*(c+d/x^2)^(1/4)/a^3/(-a*d+b*c)^2/(a+b/x^2)^(7/4)/x+1/231*b*(-11*a*d+5*b*c)*(-11*a*d+9*b*c)*(-a*d+13*b*c)*(c+d/x^2)^(1/4)/a^4/(-a*d+b*c)^3/(a+b/x^2)^(3/4)/x+1/11*b*(c+d/x^2)^(1/4)*(13*b*c-a*d+12*b*d/x^2)/a^2/(-a*d+b*c)/(a+b/x^2)^(11/4)/x+(c+d/x^2)^(5/4)*x/a/c/(a+b/x^2)^(11/4)+1/462*(-11*a*d+9*b*c)*(-a*d+13*b*c)*(21*a^2*d^2-14*a*b*c*d+5*b^2*c^2)*(c*(a+b/x^2)/a/(c+d/x^2))^(3/4)*(c+d/x^2)^(1/4)*hypergeom([1/2, 3/4],[3/2],-(-a*d+b*c)/a/(c+d/x^2)/x^2)/a^4/c/(-a*d+b*c)^3/(a+b/x^2)^(3/4)/x+24/55*b^2*d^2*(a*(c+d/x^2)/c/(a+b/x^2))^(3/4)*hypergeom([3/4, 5/2],[7/2],(-a*d+b*c)/c/(a+b/x^2)/x^2)/a^3/(-a*d+b*c)/(a+b/x^2)^(7/4)/(c+d/x^2)^(3/4)/x^5+1/165*b*d*(-35*a*d+41*b*c)*(-7*a*d+b*c)*(a*(c+d/x^2)/c/(a+b/x^2))^(3/4)*hypergeom([3/4, 5/2],[7/2],(-a*d+b*c)/c/(a+b/x^2)/x^2)/a^4/c/(-a*d+b*c)/(a+b/x^2)^(7/4)/(c+d/x^2)^(3/4)/x^5,1],
[(c+d/x)^(1/4)/(a+b/x)^(15/4),x,3,4/11*b*(c+d/x)^(1/4)*AppellF1(-11/4,2,-1/4,-7/4,1+b/a/x,-d*(a+b/x)/(-a*d+b*c))/a^2/(a+b/x)^(11/4)/(b*(c+d/x)/(-a*d+b*c))^(1/4),1],
[(d*x+c)^(1/4)/(b*x+a)^(15/4),x,5,-4/11*(d*x+c)^(1/4)/b/(b*x+a)^(11/4)-4/77*d*(d*x+c)^(1/4)/b/(-a*d+b*c)/(b*x+a)^(7/4)+8/77*d^2*(d*x+c)^(1/4)/b/(-a*d+b*c)^2/(b*x+a)^(3/4)-16/77*d^(7/2)*(b*x+a)^(3/4)*(b*(d*x+c)/d/(b*x+a))^(3/4)*InverseJacobiAM(1/2*arctan(sqrt(-a*d+b*c)/sqrt(d)/sqrt(b*x+a)),sqrt(2))/b^2/(-a*d+b*c)^(5/2)/(d*x+c)^(3/4),1],
[(d*x^2+c)^(1/4)/(b*x^2+a)^(15/4),x,3,2/11*b*x*(d*x^2+c)^(5/4)/a/(-a*d+b*c)/(b*x^2+a)^(11/4)+6/77*b*(-5*a*d+3*b*c)*x*(d*x^2+c)^(5/4)/a^2/(-a*d+b*c)^2/(b*x^2+a)^(7/4)+1/77*(77*a^2*d^2-110*a*b*c*d+45*b^2*c^2)*x*(d*x^2+c)^(1/4)*hypergeom([-1/4, 1/2],[3/2],(-a*d+b*c)*x^2/c/(b*x^2+a))/a^3/(-a*d+b*c)^2/(b*x^2+a)^(3/4)/(a*(d*x^2+c)/c/(b*x^2+a))^(1/4),1],
[(d*x^3+c)^(1/4)/(b*x^3+a)^(15/4),x,3,x*(1+b*x^3/a)^(3/4)*(d*x^3+c)^(1/4)*AppellF1(1/3,15/4,-1/4,4/3,-b*x^3/a,-d*x^3/c)/a^3/(b*x^3+a)^(3/4)/(1+d*x^3/c)^(1/4),1],
[(d*x^4+c)^(1/4)/(b*x^4+a)^(15/4),x,3,x*(1+b*x^4/a)^(3/4)*(d*x^4+c)^(1/4)*AppellF1(1/4,15/4,-1/4,5/4,-b*x^4/a,-d*x^4/c)/a^3/(b*x^4+a)^(3/4)/(1+d*x^4/c)^(1/4),1],
[(b*x^3+a)*(d*x^3+c)^4,x,2,a*c^4*x+1/4*c^3*(4*a*d+b*c)*x^4+2/7*c^2*d*(3*a*d+2*b*c)*x^7+1/5*c*d^2*(2*a*d+3*b*c)*x^10+1/13*d^3*(a*d+4*b*c)*x^13+1/16*b*d^4*x^16,1],
[(b*x^3+a)*(d*x^3+c)^3,x,2,a*c^3*x+1/4*c^2*(3*a*d+b*c)*x^4+3/7*c*d*(a*d+b*c)*x^7+1/10*d^2*(a*d+3*b*c)*x^10+1/13*b*d^3*x^13,1],
[(b*x^3+a)*(d*x^3+c)^2,x,2,a*c^2*x+1/4*c*(2*a*d+b*c)*x^4+1/7*d*(a*d+2*b*c)*x^7+1/10*b*d^2*x^10,1],
[(b*x^3+a)*(d*x^3+c),x,2,a*c*x+1/4*(a*d+b*c)*x^4+1/7*b*d*x^7,1],
[(b*x^3+a)/(d*x^3+c),x,7,b*x/d+(-a*d+b*c)*arctan((c^(1/3)-2*d^(1/3)*x)/sqrt(3)/c^(1/3))/sqrt(3)/c^(2/3)/d^(4/3)-1/3*(-a*d+b*c)*ln(c^(1/3)+d^(1/3)*x)/c^(2/3)/d^(4/3)+1/6*(-a*d+b*c)*ln(c^(2/3)-c^(1/3)*d^(1/3)*x+d^(2/3)*x^2)/c^(2/3)/d^(4/3),1],
[(b*x^3+a)/(d*x^3+c)^2,x,7,-1/3*(-a*d+b*c)*x/c/d/(d*x^3+c)-1/3*(2*a*d+b*c)*arctan((c^(1/3)-2*d^(1/3)*x)/sqrt(3)/c^(1/3))/sqrt(3)/c^(5/3)/d^(4/3)+1/9*(2*a*d+b*c)*ln(c^(1/3)+d^(1/3)*x)/c^(5/3)/d^(4/3)-1/18*(2*a*d+b*c)*ln(c^(2/3)-c^(1/3)*d^(1/3)*x+d^(2/3)*x^2)/c^(5/3)/d^(4/3),1],
[(b*x^3+a)/(d*x^3+c)^3,x,8,-1/6*(-a*d+b*c)*x/c/d/(d*x^3+c)^2+1/18*(5*a*d+b*c)*x/c^2/d/(d*x^3+c)-1/9*(5*a*d+b*c)*arctan((c^(1/3)-2*d^(1/3)*x)/sqrt(3)/c^(1/3))/sqrt(3)/c^(8/3)/d^(4/3)+1/27*(5*a*d+b*c)*ln(c^(1/3)+d^(1/3)*x)/c^(8/3)/d^(4/3)-1/54*(5*a*d+b*c)*ln(c^(2/3)-c^(1/3)*d^(1/3)*x+d^(2/3)*x^2)/c^(8/3)/d^(4/3),1],
[(b*x^3+a)^2*(d*x^3+c)^3,x,2,a^2*c^3*x+1/4*a*c^2*(3*a*d+2*b*c)*x^4+1/7*c*(3*a^2*d^2+6*a*b*c*d+b^2*c^2)*x^7+1/10*d*(a^2*d^2+6*a*b*c*d+3*b^2*c^2)*x^10+1/13*b*d^2*(2*a*d+3*b*c)*x^13+1/16*b^2*d^3*x^16,1],
[(b*x^3+a)^2*(d*x^3+c)^2,x,2,a^2*c^2*x+1/2*a*c*(a*d+b*c)*x^4+1/7*(a^2*d^2+4*a*b*c*d+b^2*c^2)*x^7+1/5*b*d*(a*d+b*c)*x^10+1/13*b^2*d^2*x^13,1],
[(b*x^3+a)^2*(d*x^3+c),x,2,a^2*c*x+1/4*a*(a*d+2*b*c)*x^4+1/7*b*(2*a*d+b*c)*x^7+1/10*b^2*d*x^10,1],
[(b*x^3+a)^2/(d*x^3+c),x,8,-b*(-2*a*d+b*c)*x/d^2+1/4*b^2*x^4/d-(-a*d+b*c)^2*arctan((c^(1/3)-2*d^(1/3)*x)/sqrt(3)/c^(1/3))/sqrt(3)/c^(2/3)/d^(7/3)+1/3*(-a*d+b*c)^2*ln(c^(1/3)+d^(1/3)*x)/c^(2/3)/d^(7/3)-1/6*(-a*d+b*c)^2*ln(c^(2/3)-c^(1/3)*d^(1/3)*x+d^(2/3)*x^2)/c^(2/3)/d^(7/3),1],
[(b*x^3+a)^2/(d*x^3+c)^2,x,8,b^2*x/d^2+1/3*(-a*d+b*c)^2*x/c/d^2/(d*x^3+c)+2/3*(-a*d+b*c)*(a*d+2*b*c)*arctan((c^(1/3)-2*d^(1/3)*x)/sqrt(3)/c^(1/3))/sqrt(3)/c^(5/3)/d^(7/3)-2/9*(-a*d+b*c)*(a*d+2*b*c)*ln(c^(1/3)+d^(1/3)*x)/c^(5/3)/d^(7/3)+1/9*(-a*d+b*c)*(a*d+2*b*c)*ln(c^(2/3)-c^(1/3)*d^(1/3)*x+d^(2/3)*x^2)/c^(5/3)/d^(7/3),1],
[(b*x^3+a)^2/(d*x^3+c)^3,x,8,1/6*(-a*d+b*c)^2*x/c/d^2/(d*x^3+c)^2-1/18*(-a*d+b*c)*(5*a*d+7*b*c)*x/c^2/d^2/(d*x^3+c)-1/9*(5*a^2*d^2+2*a*b*c*d+2*b^2*c^2)*arctan((c^(1/3)-2*d^(1/3)*x)/sqrt(3)/c^(1/3))/sqrt(3)/c^(8/3)/d^(7/3)+1/27*(5*a^2*d^2+2*a*b*c*d+2*b^2*c^2)*ln(c^(1/3)+d^(1/3)*x)/c^(8/3)/d^(7/3)-1/54*(5*a^2*d^2+2*a*b*c*d+2*b^2*c^2)*ln(c^(2/3)-c^(1/3)*d^(1/3)*x+d^(2/3)*x^2)/c^(8/3)/d^(7/3),1],
[(b*x^3+a)^3*(d*x^3+c)^3,x,2,a^3*c^3*x+3/4*a^2*c^2*(a*d+b*c)*x^4+3/7*a*c*(a^2*d^2+3*a*b*c*d+b^2*c^2)*x^7+1/10*(a*d+b*c)*(a^2*d^2+8*a*b*c*d+b^2*c^2)*x^10+3/13*b*d*(a^2*d^2+3*a*b*c*d+b^2*c^2)*x^13+3/16*b^2*d^2*(a*d+b*c)*x^16+1/19*b^3*d^3*x^19,1],
[(b*x^3+a)^3*(d*x^3+c)^2,x,2,a^3*c^2*x+1/4*a^2*c*(2*a*d+3*b*c)*x^4+1/7*a*(a^2*d^2+6*a*b*c*d+3*b^2*c^2)*x^7+1/10*b*(3*a^2*d^2+6*a*b*c*d+b^2*c^2)*x^10+1/13*b^2*d*(3*a*d+2*b*c)*x^13+1/16*b^3*d^2*x^16,1],
[(b*x^3+a)^3*(d*x^3+c),x,2,a^3*c*x+1/4*a^2*(a*d+3*b*c)*x^4+3/7*a*b*(a*d+b*c)*x^7+1/10*b^2*(3*a*d+b*c)*x^10+1/13*b^3*d*x^13,1],
[(b*x^3+a)^3/(d*x^3+c),x,8,b*(3*a^2*d^2-3*a*b*c*d+b^2*c^2)*x/d^3-1/4*b^2*(-3*a*d+b*c)*x^4/d^2+1/7*b^3*x^7/d+(-a*d+b*c)^3*arctan((c^(1/3)-2*d^(1/3)*x)/sqrt(3)/c^(1/3))/sqrt(3)/c^(2/3)/d^(10/3)-1/3*(-a*d+b*c)^3*ln(c^(1/3)+d^(1/3)*x)/c^(2/3)/d^(10/3)+1/6*(-a*d+b*c)^3*ln(c^(2/3)-c^(1/3)*d^(1/3)*x+d^(2/3)*x^2)/c^(2/3)/d^(10/3),1],
[(b*x^3+a)^3/(d*x^3+c)^2,x,9,-b^2*(-3*a*d+2*b*c)*x/d^3+1/4*b^3*x^4/d^2-1/3*(-a*d+b*c)^3*x/c/d^3/(d*x^3+c)-1/3*(-a*d+b*c)^2*(2*a*d+7*b*c)*arctan((c^(1/3)-2*d^(1/3)*x)/sqrt(3)/c^(1/3))/sqrt(3)/c^(5/3)/d^(10/3)+1/9*(-a*d+b*c)^2*(2*a*d+7*b*c)*ln(c^(1/3)+d^(1/3)*x)/c^(5/3)/d^(10/3)-1/18*(-a*d+b*c)^2*(2*a*d+7*b*c)*ln(c^(2/3)-c^(1/3)*d^(1/3)*x+d^(2/3)*x^2)/c^(5/3)/d^(10/3),1],
[(b*x^3+a)^3/(d*x^3+c)^3,x,9,b^3*x/d^3-1/6*(-a*d+b*c)^3*x/c/d^3/(d*x^3+c)^2+1/18*(-a*d+b*c)^2*(5*a*d+13*b*c)*x/c^2/d^3/(d*x^3+c)+1/9*(-a*d+b*c)*(5*a^2*d^2+8*a*b*c*d+14*b^2*c^2)*arctan((c^(1/3)-2*d^(1/3)*x)/sqrt(3)/c^(1/3))/sqrt(3)/c^(8/3)/d^(10/3)-1/27*(-a*d+b*c)*(5*a^2*d^2+8*a*b*c*d+14*b^2*c^2)*ln(c^(1/3)+d^(1/3)*x)/c^(8/3)/d^(10/3)+1/54*(-a*d+b*c)*(5*a^2*d^2+8*a*b*c*d+14*b^2*c^2)*ln(c^(2/3)-c^(1/3)*d^(1/3)*x+d^(2/3)*x^2)/c^(8/3)/d^(10/3),1],
[(d*x^3+c)^4/(b*x^3+a),x,8,d*(-a*d+2*b*c)*(a^2*d^2-2*a*b*c*d+2*b^2*c^2)*x/b^4+1/4*d^2*(a^2*d^2-4*a*b*c*d+6*b^2*c^2)*x^4/b^3+1/7*d^3*(-a*d+4*b*c)*x^7/b^2+1/10*d^4*x^10/b-(-a*d+b*c)^4*arctan((a^(1/3)-2*b^(1/3)*x)/sqrt(3)/a^(1/3))/sqrt(3)/a^(2/3)/b^(13/3)+1/3*(-a*d+b*c)^4*ln(a^(1/3)+b^(1/3)*x)/a^(2/3)/b^(13/3)-1/6*(-a*d+b*c)^4*ln(a^(2/3)-a^(1/3)*b^(1/3)*x+b^(2/3)*x^2)/a^(2/3)/b^(13/3),1],
[(d*x^3+c)^3/(b*x^3+a),x,8,d*(a^2*d^2-3*a*b*c*d+3*b^2*c^2)*x/b^3+1/4*d^2*(-a*d+3*b*c)*x^4/b^2+1/7*d^3*x^7/b-(-a*d+b*c)^3*arctan((a^(1/3)-2*b^(1/3)*x)/sqrt(3)/a^(1/3))/sqrt(3)/a^(2/3)/b^(10/3)+1/3*(-a*d+b*c)^3*ln(a^(1/3)+b^(1/3)*x)/a^(2/3)/b^(10/3)-1/6*(-a*d+b*c)^3*ln(a^(2/3)-a^(1/3)*b^(1/3)*x+b^(2/3)*x^2)/a^(2/3)/b^(10/3),1],
[(d*x^3+c)^2/(b*x^3+a),x,8,d*(-a*d+2*b*c)*x/b^2+1/4*d^2*x^4/b-(-a*d+b*c)^2*arctan((a^(1/3)-2*b^(1/3)*x)/sqrt(3)/a^(1/3))/sqrt(3)/a^(2/3)/b^(7/3)+1/3*(-a*d+b*c)^2*ln(a^(1/3)+b^(1/3)*x)/a^(2/3)/b^(7/3)-1/6*(-a*d+b*c)^2*ln(a^(2/3)-a^(1/3)*b^(1/3)*x+b^(2/3)*x^2)/a^(2/3)/b^(7/3),1],
[(d*x^3+c)/(b*x^3+a),x,7,d*x/b-(-a*d+b*c)*arctan((a^(1/3)-2*b^(1/3)*x)/sqrt(3)/a^(1/3))/sqrt(3)/a^(2/3)/b^(4/3)+1/3*(-a*d+b*c)*ln(a^(1/3)+b^(1/3)*x)/a^(2/3)/b^(4/3)-1/6*(-a*d+b*c)*ln(a^(2/3)-a^(1/3)*b^(1/3)*x+b^(2/3)*x^2)/a^(2/3)/b^(4/3),1],
[1/(b*x^3+a)/(d*x^3+c),x,13,-b^(2/3)*arctan((a^(1/3)-2*b^(1/3)*x)/sqrt(3)/a^(1/3))/sqrt(3)/a^(2/3)/(-a*d+b*c)+d^(2/3)*arctan((c^(1/3)-2*d^(1/3)*x)/sqrt(3)/c^(1/3))/sqrt(3)/c^(2/3)/(-a*d+b*c)+1/3*b^(2/3)*ln(a^(1/3)+b^(1/3)*x)/a^(2/3)/(-a*d+b*c)-1/3*d^(2/3)*ln(c^(1/3)+d^(1/3)*x)/c^(2/3)/(-a*d+b*c)-1/6*b^(2/3)*ln(a^(2/3)-a^(1/3)*b^(1/3)*x+b^(2/3)*x^2)/a^(2/3)/(-a*d+b*c)+1/6*d^(2/3)*ln(c^(2/3)-c^(1/3)*d^(1/3)*x+d^(2/3)*x^2)/c^(2/3)/(-a*d+b*c),1],
[1/(b*x^3+a)/(d*x^3+c)^2,x,14,-1/3*d*x/c/(-a*d+b*c)/(d*x^3+c)-b^(5/3)*arctan((a^(1/3)-2*b^(1/3)*x)/sqrt(3)/a^(1/3))/sqrt(3)/a^(2/3)/(-a*d+b*c)^2+1/3*d^(2/3)*(-2*a*d+5*b*c)*arctan((c^(1/3)-2*d^(1/3)*x)/sqrt(3)/c^(1/3))/sqrt(3)/c^(5/3)/(-a*d+b*c)^2+1/3*b^(5/3)*ln(a^(1/3)+b^(1/3)*x)/a^(2/3)/(-a*d+b*c)^2-1/9*d^(2/3)*(-2*a*d+5*b*c)*ln(c^(1/3)+d^(1/3)*x)/c^(5/3)/(-a*d+b*c)^2-1/6*b^(5/3)*ln(a^(2/3)-a^(1/3)*b^(1/3)*x+b^(2/3)*x^2)/a^(2/3)/(-a*d+b*c)^2+1/18*d^(2/3)*(-2*a*d+5*b*c)*ln(c^(2/3)-c^(1/3)*d^(1/3)*x+d^(2/3)*x^2)/c^(5/3)/(-a*d+b*c)^2,1],
[(d*x^3+c)^5/(b*x^3+a)^2,x,9,d^2*(-4*a^3*d^3+15*a^2*b*c*d^2-20*a*b^2*c^2*d+10*b^3*c^3)*x/b^5+1/4*d^3*(3*a^2*d^2-10*a*b*c*d+10*b^2*c^2)*x^4/b^4+1/7*d^4*(-2*a*d+5*b*c)*x^7/b^3+1/10*d^5*x^10/b^2+1/3*(-a*d+b*c)^5*x/a/b^5/(b*x^3+a)-1/3*(-a*d+b*c)^4*(13*a*d+2*b*c)*arctan((a^(1/3)-2*b^(1/3)*x)/sqrt(3)/a^(1/3))/sqrt(3)/a^(5/3)/b^(16/3)+1/9*(-a*d+b*c)^4*(13*a*d+2*b*c)*ln(a^(1/3)+b^(1/3)*x)/a^(5/3)/b^(16/3)-1/18*(-a*d+b*c)^4*(13*a*d+2*b*c)*ln(a^(2/3)-a^(1/3)*b^(1/3)*x+b^(2/3)*x^2)/a^(5/3)/b^(16/3),1],
[(d*x^3+c)^4/(b*x^3+a)^2,x,9,d^2*(3*a^2*d^2-8*a*b*c*d+6*b^2*c^2)*x/b^4+1/2*d^3*(-a*d+2*b*c)*x^4/b^3+1/7*d^4*x^7/b^2+1/3*(-a*d+b*c)^4*x/a/b^4/(b*x^3+a)-2/3*(-a*d+b*c)^3*(5*a*d+b*c)*arctan((a^(1/3)-2*b^(1/3)*x)/sqrt(3)/a^(1/3))/sqrt(3)/a^(5/3)/b^(13/3)+2/9*(-a*d+b*c)^3*(5*a*d+b*c)*ln(a^(1/3)+b^(1/3)*x)/a^(5/3)/b^(13/3)-1/9*(-a*d+b*c)^3*(5*a*d+b*c)*ln(a^(2/3)-a^(1/3)*b^(1/3)*x+b^(2/3)*x^2)/a^(5/3)/b^(13/3),1],
[(d*x^3+c)^3/(b*x^3+a)^2,x,9,d^2*(-2*a*d+3*b*c)*x/b^3+1/4*d^3*x^4/b^2+1/3*(-a*d+b*c)^3*x/a/b^3/(b*x^3+a)-1/3*(-a*d+b*c)^2*(7*a*d+2*b*c)*arctan((a^(1/3)-2*b^(1/3)*x)/sqrt(3)/a^(1/3))/sqrt(3)/a^(5/3)/b^(10/3)+1/9*(-a*d+b*c)^2*(7*a*d+2*b*c)*ln(a^(1/3)+b^(1/3)*x)/a^(5/3)/b^(10/3)-1/18*(-a*d+b*c)^2*(7*a*d+2*b*c)*ln(a^(2/3)-a^(1/3)*b^(1/3)*x+b^(2/3)*x^2)/a^(5/3)/b^(10/3),1],
[(d*x^3+c)^2/(b*x^3+a)^2,x,8,d^2*x/b^2+1/3*(-a*d+b*c)^2*x/a/b^2/(b*x^3+a)-2/3*(-a*d+b*c)*(2*a*d+b*c)*arctan((a^(1/3)-2*b^(1/3)*x)/sqrt(3)/a^(1/3))/sqrt(3)/a^(5/3)/b^(7/3)+2/9*(-a*d+b*c)*(2*a*d+b*c)*ln(a^(1/3)+b^(1/3)*x)/a^(5/3)/b^(7/3)-1/9*(-a*d+b*c)*(2*a*d+b*c)*ln(a^(2/3)-a^(1/3)*b^(1/3)*x+b^(2/3)*x^2)/a^(5/3)/b^(7/3),1],
[(d*x^3+c)/(b*x^3+a)^2,x,7,1/3*(-a*d+b*c)*x/a/b/(b*x^3+a)-1/3*(a*d+2*b*c)*arctan((a^(1/3)-2*b^(1/3)*x)/sqrt(3)/a^(1/3))/sqrt(3)/a^(5/3)/b^(4/3)+1/9*(a*d+2*b*c)*ln(a^(1/3)+b^(1/3)*x)/a^(5/3)/b^(4/3)-1/18*(a*d+2*b*c)*ln(a^(2/3)-a^(1/3)*b^(1/3)*x+b^(2/3)*x^2)/a^(5/3)/b^(4/3),1],
[1/(b*x^3+a)^2/(d*x^3+c),x,14,1/3*b*x/a/(-a*d+b*c)/(b*x^3+a)-1/3*b^(2/3)*(-5*a*d+2*b*c)*arctan((a^(1/3)-2*b^(1/3)*x)/sqrt(3)/a^(1/3))/sqrt(3)/a^(5/3)/(-a*d+b*c)^2-d^(5/3)*arctan((c^(1/3)-2*d^(1/3)*x)/sqrt(3)/c^(1/3))/sqrt(3)/c^(2/3)/(-a*d+b*c)^2+1/9*b^(2/3)*(-5*a*d+2*b*c)*ln(a^(1/3)+b^(1/3)*x)/a^(5/3)/(-a*d+b*c)^2+1/3*d^(5/3)*ln(c^(1/3)+d^(1/3)*x)/c^(2/3)/(-a*d+b*c)^2-1/18*b^(2/3)*(-5*a*d+2*b*c)*ln(a^(2/3)-a^(1/3)*b^(1/3)*x+b^(2/3)*x^2)/a^(5/3)/(-a*d+b*c)^2-1/6*d^(5/3)*ln(c^(2/3)-c^(1/3)*d^(1/3)*x+d^(2/3)*x^2)/c^(2/3)/(-a*d+b*c)^2,1],
[1/(b*x^3+a)^2/(d*x^3+c)^2,x,15,1/3*d*(a*d+b*c)*x/a/c/(-a*d+b*c)^2/(d*x^3+c)+1/3*b*x/a/(-a*d+b*c)/(b*x^3+a)/(d*x^3+c)-2/3*b^(5/3)*(-4*a*d+b*c)*arctan((a^(1/3)-2*b^(1/3)*x)/sqrt(3)/a^(1/3))/sqrt(3)/a^(5/3)/(-a*d+b*c)^3-2/3*d^(5/3)*(-a*d+4*b*c)*arctan((c^(1/3)-2*d^(1/3)*x)/sqrt(3)/c^(1/3))/sqrt(3)/c^(5/3)/(-a*d+b*c)^3+2/9*b^(5/3)*(-4*a*d+b*c)*ln(a^(1/3)+b^(1/3)*x)/a^(5/3)/(-a*d+b*c)^3+2/9*d^(5/3)*(-a*d+4*b*c)*ln(c^(1/3)+d^(1/3)*x)/c^(5/3)/(-a*d+b*c)^3-1/9*b^(5/3)*(-4*a*d+b*c)*ln(a^(2/3)-a^(1/3)*b^(1/3)*x+b^(2/3)*x^2)/a^(5/3)/(-a*d+b*c)^3-1/9*d^(5/3)*(-a*d+4*b*c)*ln(c^(2/3)-c^(1/3)*d^(1/3)*x+d^(2/3)*x^2)/c^(5/3)/(-a*d+b*c)^3,1],
[sqrt(b*x^3+a)*(d*x^3+c)^2,x,4,2/935*(187*c^2-4*a*d*(-4*a*d+17*b*c)/b^2)*x*sqrt(b*x^3+a)+4/187*d*(-4*a*d+17*b*c)*x*(b*x^3+a)^(3/2)/b^2+2/17*d^2*x^4*(b*x^3+a)^(3/2)/b+2/935*3^(3/4)*sqrt(2+sqrt(3))*a*(187*b^2*c^2-4*a*d*(-4*a*d+17*b*c))*(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)))/b^(7/3)/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],
[sqrt(b*x^3+a)*(d*x^3+c),x,3,2/55*(-2*a*d+11*b*c)*x*sqrt(b*x^3+a)/b+2/11*d*x*(b*x^3+a)^(3/2)/b+2/55*3^(3/4)*sqrt(2+sqrt(3))*a*(-2*a*d+11*b*c)*(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)))/b^(4/3)/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],
[sqrt(b*x^3+a)/(d*x^3+c),x,2,x*sqrt(b*x^3+a)*AppellF1(1/3,-1/2,1,4/3,-b*x^3/a,-d*x^3/c)/c/sqrt(1+b*x^3/a),1],
[sqrt(b*x^3+a)/(d*x^3+c)^2,x,2,x*sqrt(b*x^3+a)*AppellF1(1/3,-1/2,2,4/3,-b*x^3/a,-d*x^3/c)/c^2/sqrt(1+b*x^3/a),1],
[(d*x^3+c)^2/sqrt(b*x^3+a),x,3,4/55*d*(-4*a*d+11*b*c)*x*sqrt(b*x^3+a)/b^2+2/11*d^2*x^4*sqrt(b*x^3+a)/b+2/165*sqrt(2+sqrt(3))*(55*b^2*c^2-4*a*d*(-4*a*d+11*b*c))*(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)/b^(7/3)/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],
[(d*x^3+c)/sqrt(b*x^3+a),x,2,2/5*d*x*sqrt(b*x^3+a)/b+2/15*sqrt(2+sqrt(3))*(-2*a*d+5*b*c)*(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)/b^(4/3)/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/sqrt(b*x^3+a),x,1,2/3*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)/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/sqrt(b*x^3+a)/(d*x^3+c),x,2,2*(-1)^(2/3)*(-a^(1/3)*b^(2/3)*c^(2/3)-a^(2/3)*b^(1/3)*c^(1/3)*d^(1/3)-a*d^(2/3))*sqrt((a^(1/3)+b^(1/3)*x)/(1+(-1)^(1/3))/a^(1/3))*sqrt(1-b^(1/3)*x/a^(1/3)+b^(2/3)*x^2/a^(2/3))*EllipticPi(sin(arcsin(sqrt((a^(1/3)+(-1)^(2/3)*b^(1/3)*x)/(1+(-1)^(1/3))/a^(1/3)))),(1+(-1)^(1/3))*a^(1/3)*d^(1/3)/(-b^(1/3)*c^(1/3)+a^(1/3)*d^(1/3)),sqrt((-1)^(1/3)))/sqrt(3)/(1+(-1)^(1/3))/c^(2/3)/(-a*d+b*c)/sqrt(b*x^3+a)+2*(-1)^(2/3)*a^(1/3)*(-b^(1/3)*c^(1/3)+a^(1/3)*d^(1/3))*(b^(1/3)*c^(1/3)+(-1)^(1/3)*a^(1/3)*d^(1/3))*sqrt((a^(1/3)+b^(1/3)*x)/(1+(-1)^(1/3))/a^(1/3))*sqrt(1-b^(1/3)*x/a^(1/3)+b^(2/3)*x^2/a^(2/3))*EllipticPi(sin(arcsin(sqrt((a^(1/3)+(-1)^(2/3)*b^(1/3)*x)/(1+(-1)^(1/3))/a^(1/3)))),(1+(-1)^(1/3))*a^(1/3)*d^(1/3)/((-1)^(1/3)*b^(1/3)*c^(1/3)+a^(1/3)*d^(1/3)),sqrt((-1)^(1/3)))/sqrt(3)/(1+(-1)^(1/3))/c^(2/3)/(-a*d+b*c)/sqrt(b*x^3+a)+2*(-1)^(2/3)*a^(1/3)*(-b^(1/3)*c^(1/3)+a^(1/3)*d^(1/3))*(b^(1/3)*c^(1/3)-(-1)^(2/3)*a^(1/3)*d^(1/3))*sqrt((a^(1/3)+b^(1/3)*x)/(1+(-1)^(1/3))/a^(1/3))*sqrt(1-b^(1/3)*x/a^(1/3)+b^(2/3)*x^2/a^(2/3))*EllipticPi(sin(arcsin(sqrt((a^(1/3)+(-1)^(2/3)*b^(1/3)*x)/(1+(-1)^(1/3))/a^(1/3)))),I*sqrt(3)*a^(1/3)*d^(1/3)/(b^(1/3)*c^(1/3)+(-1)^(1/3)*a^(1/3)*d^(1/3)),sqrt((-1)^(1/3)))/sqrt(3)/(1+(-1)^(1/3))/c^(2/3)/(-a*d+b*c)/sqrt(b*x^3+a),1],
[1/sqrt(b*x^3+a)/(d*x^3+c)^2,x,2,x*sqrt(1+b*x^3/a)*AppellF1(1/3,1/2,2,4/3,-b*x^3/a,-d*x^3/c)/c^2/sqrt(b*x^3+a),1],
[1/sqrt(b*x^3+a)/(d*x^3+c)^3,x,2,x*sqrt(1+b*x^3/a)*AppellF1(1/3,1/2,3,4/3,-b*x^3/a,-d*x^3/c)/c^3/sqrt(b*x^3+a),1],
[(d*x^3+c)^2/(b*x^3+a)^(3/2),x,3,2/3*(-a*d+b*c)^2*x/a/b^2/sqrt(b*x^3+a)+2/5*d^2*x*sqrt(b*x^3+a)/b^2+2/45*sqrt(2+sqrt(3))*(-16*a^2*d^2+20*a*b*c*d+5*b^2*c^2)*(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/b^(7/3)/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],
[(d*x^3+c)/(b*x^3+a)^(3/2),x,2,2/3*(-a*d+b*c)*x/a/b/sqrt(b*x^3+a)+2/9*sqrt(2+sqrt(3))*(2*a*d+b*c)*(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/b^(4/3)/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/(b*x^3+a)^(3/2),x,2,2/3*x/a/sqrt(b*x^3+a)+2/9*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/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/(b*x^3+a)^(3/2)/(d*x^3+c),x,2,x*sqrt(1+b*x^3/a)*AppellF1(1/3,3/2,1,4/3,-b*x^3/a,-d*x^3/c)/a/c/sqrt(b*x^3+a),1],
[1/(b*x^3+a)^(3/2)/(d*x^3+c)^2,x,2,x*sqrt(1+b*x^3/a)*AppellF1(1/3,3/2,2,4/3,-b*x^3/a,-d*x^3/c)/a/c^2/sqrt(b*x^3+a),1],
[(d*x^3+c)^(5/2)/sqrt(b*x^3+a),x,3,c^2*x*sqrt(1+b*x^3/a)*sqrt(d*x^3+c)*AppellF1(1/3,1/2,-5/2,4/3,-b*x^3/a,-d*x^3/c)/sqrt(b*x^3+a)/sqrt(1+d*x^3/c),1],
[(d*x^3+c)^(3/2)/sqrt(b*x^3+a),x,3,c*x*sqrt(1+b*x^3/a)*sqrt(d*x^3+c)*AppellF1(1/3,1/2,-3/2,4/3,-b*x^3/a,-d*x^3/c)/sqrt(b*x^3+a)/sqrt(1+d*x^3/c),1],
[sqrt(d*x^3+c)/sqrt(b*x^3+a),x,3,x*sqrt(1+b*x^3/a)*sqrt(d*x^3+c)*AppellF1(1/3,1/2,-1/2,4/3,-b*x^3/a,-d*x^3/c)/sqrt(b*x^3+a)/sqrt(1+d*x^3/c),1],
[1/sqrt(b*x^3+a)/sqrt(d*x^3+c),x,3,x*sqrt(1+b*x^3/a)*sqrt(1+d*x^3/c)*AppellF1(1/3,1/2,1/2,4/3,-b*x^3/a,-d*x^3/c)/sqrt(b*x^3+a)/sqrt(d*x^3+c),1],
[1/sqrt(b*x^3+a)/(d*x^3+c)^(3/2),x,3,x*sqrt(1+b*x^3/a)*sqrt(1+d*x^3/c)*AppellF1(1/3,1/2,3/2,4/3,-b*x^3/a,-d*x^3/c)/c/sqrt(b*x^3+a)/sqrt(d*x^3+c),1],
[(d*x^3+c)^(5/2)/(b*x^3+a)^(3/2),x,3,c^2*x*sqrt(1+b*x^3/a)*sqrt(d*x^3+c)*AppellF1(1/3,3/2,-5/2,4/3,-b*x^3/a,-d*x^3/c)/a/sqrt(b*x^3+a)/sqrt(1+d*x^3/c),1],
[(d*x^3+c)^(3/2)/(b*x^3+a)^(3/2),x,3,c*x*sqrt(1+b*x^3/a)*sqrt(d*x^3+c)*AppellF1(1/3,3/2,-3/2,4/3,-b*x^3/a,-d*x^3/c)/a/sqrt(b*x^3+a)/sqrt(1+d*x^3/c),1],
[sqrt(d*x^3+c)/(b*x^3+a)^(3/2),x,3,x*sqrt(1+b*x^3/a)*sqrt(d*x^3+c)*AppellF1(1/3,3/2,-1/2,4/3,-b*x^3/a,-d*x^3/c)/a/sqrt(b*x^3+a)/sqrt(1+d*x^3/c),1],
[1/(b*x^3+a)^(3/2)/sqrt(d*x^3+c),x,3,x*sqrt(1+b*x^3/a)*sqrt(1+d*x^3/c)*AppellF1(1/3,3/2,1/2,4/3,-b*x^3/a,-d*x^3/c)/a/sqrt(b*x^3+a)/sqrt(d*x^3+c),1],
[1/(b*x^3+a)^(3/2)/(d*x^3+c)^(3/2),x,3,x*sqrt(1+b*x^3/a)*sqrt(1+d*x^3/c)*AppellF1(1/3,3/2,3/2,4/3,-b*x^3/a,-d*x^3/c)/a/c/sqrt(b*x^3+a)/sqrt(d*x^3+c),1],
[(-b*x^3+a)*(b*x^3+a)^(2/3),x,3,7/18*a*x*(b*x^3+a)^(2/3)-1/6*x*(b*x^3+a)^(5/3)+7/9*a^2*arctan((1+2*b^(1/3)*x/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/b^(1/3)-7/18*a^2*ln(-b^(1/3)*x+(b*x^3+a)^(1/3))/b^(1/3),1],
[(-b*x^3+a)/(b*x^3+a)^(1/3),x,2,-1/3*x*(b*x^3+a)^(2/3)+4/3*a*arctan((1+2*b^(1/3)*x/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/b^(1/3)-2/3*a*ln(-b^(1/3)*x+(b*x^3+a)^(1/3))/b^(1/3),1],
[(-b*x^3+a)/(b*x^3+a)^(4/3),x,2,2*x/(b*x^3+a)^(1/3)-arctan((1+2*b^(1/3)*x/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/b^(1/3)+1/2*ln(-b^(1/3)*x+(b*x^3+a)^(1/3))/b^(1/3),1],
[(-b*x^3+a)/(b*x^3+a)^(7/3),x,2,1/2*x/(b*x^3+a)^(4/3)+1/2*x/a/(b*x^3+a)^(1/3),1],
[(-b*x^3+a)/(b*x^3+a)^(10/3),x,3,2/7*x/(b*x^3+a)^(7/3)+5/28*x/a/(b*x^3+a)^(4/3)+15/28*x/a^2/(b*x^3+a)^(1/3),1],
[(-b*x^3+a)/(b*x^3+a)^(13/3),x,4,1/5*x/(b*x^3+a)^(10/3)+4/35*x/a/(b*x^3+a)^(7/3)+6/35*x/a^2/(b*x^3+a)^(4/3)+18/35*x/a^3/(b*x^3+a)^(1/3),1],
[(-b*x^3+a)/(b*x^3+a)^(16/3),x,5,2/13*x/(b*x^3+a)^(13/3)+11/130*x/a/(b*x^3+a)^(10/3)+99/910*x/a^2/(b*x^3+a)^(7/3)+297/1820*x/a^3/(b*x^3+a)^(4/3)+891/1820*x/a^4/(b*x^3+a)^(1/3),1],
[(b*x^3+a)^(7/3)/(-b*x^3+a),x,22,-1/5*x*(b*x^3+a)^(4/3)-4*2^(1/3)*a^(5/3)*arctan((1-2*2^(1/3)*(a^(1/3)+b^(1/3)*x)/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/b^(1/3)-2*2^(1/3)*a^(5/3)*arctan((1+2^(1/3)*(a^(1/3)+b^(1/3)*x)/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/b^(1/3)-14/5*a*x*(b*x^3+a)^(1/3)*hypergeom([-1/3, 1/3],[4/3],-b*x^3/a)/(1+b*x^3/a)^(1/3)-2/3*2^(1/3)*a^(5/3)*ln(2^(2/3)-(a^(1/3)+b^(1/3)*x)/(b*x^3+a)^(1/3))/b^(1/3)+2/3*2^(1/3)*a^(5/3)*ln(1+2^(2/3)*(a^(1/3)+b^(1/3)*x)^2/(b*x^3+a)^(2/3)-2^(1/3)*(a^(1/3)+b^(1/3)*x)/(b*x^3+a)^(1/3))/b^(1/3)-4/3*2^(1/3)*a^(5/3)*ln(1+2^(1/3)*(a^(1/3)+b^(1/3)*x)/(b*x^3+a)^(1/3))/b^(1/3)+1/3*2^(1/3)*a^(5/3)*ln(2*2^(1/3)+(a^(1/3)+b^(1/3)*x)^2/(b*x^3+a)^(2/3)+2^(2/3)*(a^(1/3)+b^(1/3)*x)/(b*x^3+a)^(1/3))/b^(1/3),1],
[(b*x^3+a)^(4/3)/(-b*x^3+a),x,21,-1/2*x*(b*x^3+a)^(1/3)-2*2^(1/3)*a^(2/3)*arctan((1-2*2^(1/3)*(a^(1/3)+b^(1/3)*x)/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/b^(1/3)-2^(1/3)*a^(2/3)*arctan((1+2^(1/3)*(a^(1/3)+b^(1/3)*x)/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/b^(1/3)-1/2*a*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*2^(1/3)*a^(2/3)*ln(2^(2/3)-(a^(1/3)+b^(1/3)*x)/(b*x^3+a)^(1/3))/b^(1/3)+1/3*2^(1/3)*a^(2/3)*ln(1+2^(2/3)*(a^(1/3)+b^(1/3)*x)^2/(b*x^3+a)^(2/3)-2^(1/3)*(a^(1/3)+b^(1/3)*x)/(b*x^3+a)^(1/3))/b^(1/3)-2/3*2^(1/3)*a^(2/3)*ln(1+2^(1/3)*(a^(1/3)+b^(1/3)*x)/(b*x^3+a)^(1/3))/b^(1/3)+1/6*a^(2/3)*ln(2*2^(1/3)+(a^(1/3)+b^(1/3)*x)^2/(b*x^3+a)^(2/3)+2^(2/3)*(a^(1/3)+b^(1/3)*x)/(b*x^3+a)^(1/3))*2^(1/3)/b^(1/3),1],
[(b*x^3+a)^(1/3)/(-b*x^3+a),x,14,-2^(1/3)*arctan((1-2*2^(1/3)*(a^(1/3)+b^(1/3)*x)/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/a^(1/3)/b^(1/3)-1/2*arctan((1+2^(1/3)*(a^(1/3)+b^(1/3)*x)/(b*x^3+a)^(1/3))/sqrt(3))*2^(1/3)/sqrt(3)/a^(1/3)/b^(1/3)-1/6*ln(2^(2/3)-(a^(1/3)+b^(1/3)*x)/(b*x^3+a)^(1/3))*2^(1/3)/a^(1/3)/b^(1/3)+1/6*ln(1+2^(2/3)*(a^(1/3)+b^(1/3)*x)^2/(b*x^3+a)^(2/3)-2^(1/3)*(a^(1/3)+b^(1/3)*x)/(b*x^3+a)^(1/3))*2^(1/3)/a^(1/3)/b^(1/3)-1/3*2^(1/3)*ln(1+2^(1/3)*(a^(1/3)+b^(1/3)*x)/(b*x^3+a)^(1/3))/a^(1/3)/b^(1/3)+1/12*ln(2*2^(1/3)+(a^(1/3)+b^(1/3)*x)^2/(b*x^3+a)^(2/3)+2^(2/3)*(a^(1/3)+b^(1/3)*x)/(b*x^3+a)^(1/3))*2^(1/3)/a^(1/3)/b^(1/3),1],
[1/(-b*x^3+a)/(b*x^3+a)^(2/3),x,17,-1/2*arctan((1-2*2^(1/3)*(a^(1/3)+b^(1/3)*x)/(b*x^3+a)^(1/3))/sqrt(3))*2^(1/3)/sqrt(3)/a^(4/3)/b^(1/3)-1/4*arctan((1+2^(1/3)*(a^(1/3)+b^(1/3)*x)/(b*x^3+a)^(1/3))/sqrt(3))*2^(1/3)/sqrt(3)/a^(4/3)/b^(1/3)+1/2*x*(1+b*x^3/a)^(2/3)*hypergeom([1/3, 2/3],[4/3],-b*x^3/a)/a/(b*x^3+a)^(2/3)-1/12*ln(2^(2/3)-(a^(1/3)+b^(1/3)*x)/(b*x^3+a)^(1/3))*2^(1/3)/a^(4/3)/b^(1/3)+1/12*ln(1+2^(2/3)*(a^(1/3)+b^(1/3)*x)^2/(b*x^3+a)^(2/3)-2^(1/3)*(a^(1/3)+b^(1/3)*x)/(b*x^3+a)^(1/3))*2^(1/3)/a^(4/3)/b^(1/3)-1/6*ln(1+2^(1/3)*(a^(1/3)+b^(1/3)*x)/(b*x^3+a)^(1/3))*2^(1/3)/a^(4/3)/b^(1/3)+1/24*ln(2*2^(1/3)+(a^(1/3)+b^(1/3)*x)^2/(b*x^3+a)^(2/3)+2^(2/3)*(a^(1/3)+b^(1/3)*x)/(b*x^3+a)^(1/3))*2^(1/3)/a^(4/3)/b^(1/3),1],
[1/(-b*x^3+a)/(b*x^3+a)^(5/3),x,21,1/4*x/a^2/(b*x^3+a)^(2/3)-1/4*arctan((1-2*2^(1/3)*(a^(1/3)+b^(1/3)*x)/(b*x^3+a)^(1/3))/sqrt(3))*2^(1/3)/sqrt(3)/a^(7/3)/b^(1/3)-1/8*arctan((1+2^(1/3)*(a^(1/3)+b^(1/3)*x)/(b*x^3+a)^(1/3))/sqrt(3))*2^(1/3)/sqrt(3)/a^(7/3)/b^(1/3)+1/2*x*(1+b*x^3/a)^(2/3)*hypergeom([1/3, 2/3],[4/3],-b*x^3/a)/a^2/(b*x^3+a)^(2/3)-1/24*ln(2^(2/3)-(a^(1/3)+b^(1/3)*x)/(b*x^3+a)^(1/3))*2^(1/3)/a^(7/3)/b^(1/3)+1/24*ln(1+2^(2/3)*(a^(1/3)+b^(1/3)*x)^2/(b*x^3+a)^(2/3)-2^(1/3)*(a^(1/3)+b^(1/3)*x)/(b*x^3+a)^(1/3))*2^(1/3)/a^(7/3)/b^(1/3)-1/12*ln(1+2^(1/3)*(a^(1/3)+b^(1/3)*x)/(b*x^3+a)^(1/3))*2^(1/3)/a^(7/3)/b^(1/3)+1/48*ln(2*2^(1/3)+(a^(1/3)+b^(1/3)*x)^2/(b*x^3+a)^(2/3)+2^(2/3)*(a^(1/3)+b^(1/3)*x)/(b*x^3+a)^(1/3))*2^(1/3)/a^(7/3)/b^(1/3),1],
[1/(-b*x^3+a)/(b*x^3+a)^(8/3),x,22,1/10*x/a^2/(b*x^3+a)^(5/3)+13/40*x/a^3/(b*x^3+a)^(2/3)-1/8*arctan((1-2*2^(1/3)*(a^(1/3)+b^(1/3)*x)/(b*x^3+a)^(1/3))/sqrt(3))*2^(1/3)/sqrt(3)/a^(10/3)/b^(1/3)-1/16*arctan((1+2^(1/3)*(a^(1/3)+b^(1/3)*x)/(b*x^3+a)^(1/3))/sqrt(3))*2^(1/3)/sqrt(3)/a^(10/3)/b^(1/3)+9/20*x*(1+b*x^3/a)^(2/3)*hypergeom([1/3, 2/3],[4/3],-b*x^3/a)/a^3/(b*x^3+a)^(2/3)-1/48*ln(2^(2/3)-(a^(1/3)+b^(1/3)*x)/(b*x^3+a)^(1/3))*2^(1/3)/a^(10/3)/b^(1/3)+1/48*ln(1+2^(2/3)*(a^(1/3)+b^(1/3)*x)^2/(b*x^3+a)^(2/3)-2^(1/3)*(a^(1/3)+b^(1/3)*x)/(b*x^3+a)^(1/3))*2^(1/3)/a^(10/3)/b^(1/3)-1/24*ln(1+2^(1/3)*(a^(1/3)+b^(1/3)*x)/(b*x^3+a)^(1/3))*2^(1/3)/a^(10/3)/b^(1/3)+1/96*ln(2*2^(1/3)+(a^(1/3)+b^(1/3)*x)^2/(b*x^3+a)^(2/3)+2^(2/3)*(a^(1/3)+b^(1/3)*x)/(b*x^3+a)^(1/3))*2^(1/3)/a^(10/3)/b^(1/3),1],
[(-b*x^3+a)^2*(b*x^3+a)^(2/3),x,4,38/81*a^2*x*(b*x^3+a)^(2/3)-11/27*a*x*(b*x^3+a)^(5/3)+1/9*b*x^4*(b*x^3+a)^(5/3)+76/81*a^3*arctan((1+2*b^(1/3)*x/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/b^(1/3)-38/81*a^3*ln(-b^(1/3)*x+(b*x^3+a)^(1/3))/b^(1/3),1],
[(-b*x^3+a)^2/(b*x^3+a)^(1/3),x,3,-8/9*a*x*(b*x^3+a)^(2/3)+1/6*b*x^4*(b*x^3+a)^(2/3)+17/9*a^2*arctan((1+2*b^(1/3)*x/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/b^(1/3)-17/18*a^2*ln(-b^(1/3)*x+(b*x^3+a)^(1/3))/b^(1/3),1],
[(-b*x^3+a)^2/(b*x^3+a)^(4/3),x,3,4*a*x/(b*x^3+a)^(1/3)+1/3*x*(b*x^3+a)^(2/3)-10/3*a*arctan((1+2*b^(1/3)*x/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/b^(1/3)+5/3*a*ln(-b^(1/3)*x+(b*x^3+a)^(1/3))/b^(1/3),1],
[(-b*x^3+a)^2/(b*x^3+a)^(7/3),x,4,a*x/(b*x^3+a)^(4/3)-x/(b*x^3+a)^(1/3)+arctan((1+2*b^(1/3)*x/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/b^(1/3)-1/2*ln(-b^(1/3)*x+(b*x^3+a)^(1/3))/b^(1/3),1],
[(-b*x^3+a)^2/(b*x^3+a)^(10/3),x,3,4/7*a*x/(b*x^3+a)^(7/3)-1/7*x/(b*x^3+a)^(4/3)+4/7*x/a/(b*x^3+a)^(1/3),1],
[(-b*x^3+a)^2/(b*x^3+a)^(13/3),x,4,2/5*a*x/(b*x^3+a)^(10/3)-2/35*x/(b*x^3+a)^(7/3)+23/140*x/a/(b*x^3+a)^(4/3)+69/140*x/a^2/(b*x^3+a)^(1/3),1],
[(-b*x^3+a)^2/(b*x^3+a)^(16/3),x,5,4/13*a*x/(b*x^3+a)^(13/3)-2/65*x/(b*x^3+a)^(10/3)+47/455*x/a/(b*x^3+a)^(7/3)+141/910*x/a^2/(b*x^3+a)^(4/3)+423/910*x/a^3/(b*x^3+a)^(1/3),1],
[(-b*x^3+a)^2/(b*x^3+a)^(19/3),x,6,1/4*a*x/(b*x^3+a)^(16/3)-1/52*x/(b*x^3+a)^(13/3)+1/13*x/a/(b*x^3+a)^(10/3)+9/91*x/a^2/(b*x^3+a)^(7/3)+27/182*x/a^3/(b*x^3+a)^(4/3)+81/182*x/a^4/(b*x^3+a)^(1/3),1],
[(-b*x^3+a)^2*(b*x^3+a)^(4/3),x,4,-13/44*a*x*(b*x^3+a)^(7/3)+1/11*b*x^4*(b*x^3+a)^(7/3)+57/44*a^3*x*(b*x^3+a)^(1/3)*hypergeom([-4/3, 1/3],[4/3],-b*x^3/a)/(1+b*x^3/a)^(1/3),1],
[(-b*x^3+a)^2*(b*x^3+a)^(1/3),x,4,-1/2*a*x*(b*x^3+a)^(4/3)+1/8*b*x^4*(b*x^3+a)^(4/3)+3/2*a^2*x*(b*x^3+a)^(1/3)*hypergeom([-1/3, 1/3],[4/3],-b*x^3/a)/(1+b*x^3/a)^(1/3),1],
[(-b*x^3+a)^2/(b*x^3+a)^(2/3),x,4,-7/5*a*x*(b*x^3+a)^(1/3)+1/5*b*x^4*(b*x^3+a)^(1/3)+12/5*a^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],
[(-b*x^3+a)^2/(b*x^3+a)^(5/3),x,4,2*a*x/(b*x^3+a)^(2/3)+1/2*x*(b*x^3+a)^(1/3)-3/2*a*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],
[(-b*x^3+a)^2/(b*x^3+a)^(8/3),x,4,4/5*a*x/(b*x^3+a)^(5/3)-x/(b*x^3+a)^(2/3)+6/5*x*(1+b*x^3/a)^(2/3)*hypergeom([1/3, 5/3],[4/3],-b*x^3/a)/(b*x^3+a)^(2/3),1],
[(-b*x^3+a)^2/(b*x^3+a)^(11/3),x,4,1/2*a*x/(b*x^3+a)^(8/3)-1/4*x/(b*x^3+a)^(5/3)+3/4*x*(1+b*x^3/a)^(2/3)*hypergeom([1/3, 8/3],[4/3],-b*x^3/a)/a/(b*x^3+a)^(2/3),1],
[(-b*x^3+a)^2/(b*x^3+a)^(14/3),x,4,4/11*a*x/(b*x^3+a)^(11/3)-1/7*x/(b*x^3+a)^(8/3)+60/77*x*(1+b*x^3/a)^(2/3)*hypergeom([1/3, 11/3],[4/3],-b*x^3/a)/a^2/(b*x^3+a)^(2/3),1],
[(b*x^3+a)^(1/3)*(d*x^3+c)^2,x,4,1/10*d*(-a*d+4*b*c)*x*(b*x^3+a)^(4/3)/b^2+1/8*d^2*x^4*(b*x^3+a)^(4/3)/b+1/10*(a^2*d^2-4*a*b*c*d+10*b^2*c^2)*x*(b*x^3+a)^(1/3)*hypergeom([-1/3, 1/3],[4/3],-b*x^3/a)/b^2/(1+b*x^3/a)^(1/3),1],
[(b*x^3+a)^(1/3)*(d*x^3+c),x,3,1/5*d*x*(b*x^3+a)^(4/3)/b+1/5*(-a*d+5*b*c)*x*(b*x^3+a)^(1/3)*hypergeom([-1/3, 1/3],[4/3],-b*x^3/a)/b/(1+b*x^3/a)^(1/3),1],
[(b*x^3+a)^(1/3)/(d*x^3+c),x,2,x*(b*x^3+a)^(1/3)*AppellF1(1/3,-1/3,1,4/3,-b*x^3/a,-d*x^3/c)/c/(1+b*x^3/a)^(1/3),1],
[(b*x^3+a)^(1/3)/(d*x^3+c)^2,x,2,x*(b*x^3+a)^(1/3)*AppellF1(1/3,-1/3,2,4/3,-b*x^3/a,-d*x^3/c)/c^2/(1+b*x^3/a)^(1/3),1],
[(d*x^3+c)^2/(b*x^3+a)^(1/3),x,3,2/9*d*(-a*d+3*b*c)*x*(b*x^3+a)^(2/3)/b^2+1/6*d^2*x^4*(b*x^3+a)^(2/3)/b+1/9*(2*a^2*d^2-6*a*b*c*d+9*b^2*c^2)*arctan((1+2*b^(1/3)*x/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/b^(7/3)-1/18*(2*a^2*d^2-6*a*b*c*d+9*b^2*c^2)*ln(-b^(1/3)*x+(b*x^3+a)^(1/3))/b^(7/3),1],
[(d*x^3+c)/(b*x^3+a)^(1/3),x,2,1/3*d*x*(b*x^3+a)^(2/3)/b+1/3*(-a*d+3*b*c)*arctan((1+2*b^(1/3)*x/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/b^(4/3)-1/6*(-a*d+3*b*c)*ln(-b^(1/3)*x+(b*x^3+a)^(1/3))/b^(4/3),1],
[1/(b*x^3+a)^(1/3)/(d*x^3+c),x,1,arctan((1+2*(-a*d+b*c)^(1/3)*x/c^(1/3)/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/c^(2/3)/(-a*d+b*c)^(1/3)+1/6*ln(d*x^3+c)/c^(2/3)/(-a*d+b*c)^(1/3)-1/2*ln((-a*d+b*c)^(1/3)*x/c^(1/3)-(b*x^3+a)^(1/3))/c^(2/3)/(-a*d+b*c)^(1/3),1],
[1/(b*x^3+a)^(1/3)/(d*x^3+c)^2,x,2,-1/3*d*x*(b*x^3+a)^(2/3)/c/(-a*d+b*c)/(d*x^3+c)+1/3*(-2*a*d+3*b*c)*arctan((1+2*(-a*d+b*c)^(1/3)*x/c^(1/3)/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/c^(5/3)/(-a*d+b*c)^(4/3)+1/18*(-2*a*d+3*b*c)*ln(d*x^3+c)/c^(5/3)/(-a*d+b*c)^(4/3)-1/6*(-2*a*d+3*b*c)*ln((-a*d+b*c)^(1/3)*x/c^(1/3)-(b*x^3+a)^(1/3))/c^(5/3)/(-a*d+b*c)^(4/3),1],
[(d*x^3+c)^3/(b*x^3+a)^(4/3),x,4,(-a*d+b*c)^3*x/a/b^3/(b*x^3+a)^(1/3)+1/9*d^2*(-5*a*d+9*b*c)*x*(b*x^3+a)^(2/3)/b^3+1/6*d^3*x^4*(b*x^3+a)^(2/3)/b^2+1/9*d*(14*a^2*d^2-36*a*b*c*d+27*b^2*c^2)*arctan((1+2*b^(1/3)*x/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/b^(10/3)-1/18*d*(14*a^2*d^2-36*a*b*c*d+27*b^2*c^2)*ln(-b^(1/3)*x+(b*x^3+a)^(1/3))/b^(10/3),1],
[(d*x^3+c)^2/(b*x^3+a)^(4/3),x,3,(-a*d+b*c)^2*x/a/b^2/(b*x^3+a)^(1/3)+1/3*d^2*x*(b*x^3+a)^(2/3)/b^2+2/3*d*(-2*a*d+3*b*c)*arctan((1+2*b^(1/3)*x/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/b^(7/3)-1/3*d*(-2*a*d+3*b*c)*ln(-b^(1/3)*x+(b*x^3+a)^(1/3))/b^(7/3),1],
[(d*x^3+c)/(b*x^3+a)^(4/3),x,2,(-a*d+b*c)*x/a/b/(b*x^3+a)^(1/3)+d*arctan((1+2*b^(1/3)*x/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/b^(4/3)-1/2*d*ln(-b^(1/3)*x+(b*x^3+a)^(1/3))/b^(4/3),1],
[1/(b*x^3+a)^(4/3)/(d*x^3+c),x,2,b*x/a/(-a*d+b*c)/(b*x^3+a)^(1/3)-d*arctan((1+2*(-a*d+b*c)^(1/3)*x/c^(1/3)/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/c^(2/3)/(-a*d+b*c)^(4/3)-1/6*d*ln(d*x^3+c)/c^(2/3)/(-a*d+b*c)^(4/3)+1/2*d*ln((-a*d+b*c)^(1/3)*x/c^(1/3)-(b*x^3+a)^(1/3))/c^(2/3)/(-a*d+b*c)^(4/3),1],
[1/(b*x^3+a)^(4/3)/(d*x^3+c)^2,x,3,1/3*b*(a*d+3*b*c)*x/a/c/(-a*d+b*c)^2/(b*x^3+a)^(1/3)-1/3*d*x/c/(-a*d+b*c)/(b*x^3+a)^(1/3)/(d*x^3+c)-2/3*d*(-a*d+3*b*c)*arctan((1+2*(-a*d+b*c)^(1/3)*x/c^(1/3)/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/c^(5/3)/(-a*d+b*c)^(7/3)-1/9*d*(-a*d+3*b*c)*ln(d*x^3+c)/c^(5/3)/(-a*d+b*c)^(7/3)+1/3*d*(-a*d+3*b*c)*ln((-a*d+b*c)^(1/3)*x/c^(1/3)-(b*x^3+a)^(1/3))/c^(5/3)/(-a*d+b*c)^(7/3),1],
[(b*x^3+a)^(5/3)*(d*x^3+c),x,4,5/162*a*(-a*d+9*b*c)*x*(b*x^3+a)^(2/3)/b+1/54*(-a*d+9*b*c)*x*(b*x^3+a)^(5/3)/b+1/9*d*x*(b*x^3+a)^(8/3)/b+5/81*a^2*(-a*d+9*b*c)*arctan((1+2*b^(1/3)*x/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/b^(4/3)-5/162*a^2*(-a*d+9*b*c)*ln(-b^(1/3)*x+(b*x^3+a)^(1/3))/b^(4/3),1],
[(b*x^3+a)^(2/3)*(d*x^3+c),x,3,1/18*(-a*d+6*b*c)*x*(b*x^3+a)^(2/3)/b+1/6*d*x*(b*x^3+a)^(5/3)/b+1/9*a*(-a*d+6*b*c)*arctan((1+2*b^(1/3)*x/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/b^(4/3)-1/18*a*(-a*d+6*b*c)*ln(-b^(1/3)*x+(b*x^3+a)^(1/3))/b^(4/3),1],
[(d*x^3+c)/(b*x^3+a)^(1/3),x,2,1/3*d*x*(b*x^3+a)^(2/3)/b+1/3*(-a*d+3*b*c)*arctan((1+2*b^(1/3)*x/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/b^(4/3)-1/6*(-a*d+3*b*c)*ln(-b^(1/3)*x+(b*x^3+a)^(1/3))/b^(4/3),1],
[(d*x^3+c)/(b*x^3+a)^(4/3),x,2,(-a*d+b*c)*x/a/b/(b*x^3+a)^(1/3)+d*arctan((1+2*b^(1/3)*x/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/b^(4/3)-1/2*d*ln(-b^(1/3)*x+(b*x^3+a)^(1/3))/b^(4/3),1],
[(d*x^3+c)/(b*x^3+a)^(7/3),x,2,1/4*(-a*d+b*c)*x/a/b/(b*x^3+a)^(4/3)+1/4*(a*d+3*b*c)*x/a^2/b/(b*x^3+a)^(1/3),1],
[(d*x^3+c)/(b*x^3+a)^(10/3),x,3,1/7*(-a*d+b*c)*x/a/b/(b*x^3+a)^(7/3)+1/28*(a*d+6*b*c)*x/a^2/b/(b*x^3+a)^(4/3)+3/28*(a*d+6*b*c)*x/a^3/b/(b*x^3+a)^(1/3),1],
[(d*x^3+c)/(b*x^3+a)^(13/3),x,4,1/10*(-a*d+b*c)*x/a/b/(b*x^3+a)^(10/3)+1/70*(a*d+9*b*c)*x/a^2/b/(b*x^3+a)^(7/3)+3/140*(a*d+9*b*c)*x/a^3/b/(b*x^3+a)^(4/3)+9/140*(a*d+9*b*c)*x/a^4/b/(b*x^3+a)^(1/3),1],
[(d*x^3+c)/(b*x^3+a)^(16/3),x,5,1/13*(-a*d+b*c)*x/a/b/(b*x^3+a)^(13/3)+1/130*(a*d+12*b*c)*x/a^2/b/(b*x^3+a)^(10/3)+9/910*(a*d+12*b*c)*x/a^3/b/(b*x^3+a)^(7/3)+27/1820*(a*d+12*b*c)*x/a^4/b/(b*x^3+a)^(4/3)+81/1820*(a*d+12*b*c)*x/a^5/b/(b*x^3+a)^(1/3),1],
[(b*x^3+a)^(7/3)*(d*x^3+c),x,3,1/11*d*x*(b*x^3+a)^(10/3)/b+1/11*a^2*(-a*d+11*b*c)*x*(b*x^3+a)^(1/3)*hypergeom([-7/3, 1/3],[4/3],-b*x^3/a)/b/(1+b*x^3/a)^(1/3),1],
[(b*x^3+a)^(4/3)*(d*x^3+c),x,3,1/8*d*x*(b*x^3+a)^(7/3)/b+1/8*a*(-a*d+8*b*c)*x*(b*x^3+a)^(1/3)*hypergeom([-4/3, 1/3],[4/3],-b*x^3/a)/b/(1+b*x^3/a)^(1/3),1],
[(b*x^3+a)^(1/3)*(d*x^3+c),x,3,1/5*d*x*(b*x^3+a)^(4/3)/b+1/5*(-a*d+5*b*c)*x*(b*x^3+a)^(1/3)*hypergeom([-1/3, 1/3],[4/3],-b*x^3/a)/b/(1+b*x^3/a)^(1/3),1],
[(d*x^3+c)/(b*x^3+a)^(2/3),x,3,1/2*d*x*(b*x^3+a)^(1/3)/b+1/2*(-a*d+2*b*c)*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],
[(d*x^3+c)/(b*x^3+a)^(5/3),x,3,-d*x/b/(b*x^3+a)^(2/3)+(a*d+b*c)*x*(1+b*x^3/a)^(2/3)*hypergeom([1/3, 5/3],[4/3],-b*x^3/a)/a/b/(b*x^3+a)^(2/3),1],
[(d*x^3+c)/(b*x^3+a)^(8/3),x,3,-1/4*d*x/b/(b*x^3+a)^(5/3)+1/4*(a*d+4*b*c)*x*(1+b*x^3/a)^(2/3)*hypergeom([1/3, 8/3],[4/3],-b*x^3/a)/a^2/b/(b*x^3+a)^(2/3),1],
[(b*x^3+a)^(5/3)*(d*x^3+c)^2,x,5,5/486*a*(a^2*d^2-6*a*b*c*d+27*b^2*c^2)*x*(b*x^3+a)^(2/3)/b^2+1/162*(a^2*d^2-6*a*b*c*d+27*b^2*c^2)*x*(b*x^3+a)^(5/3)/b^2+1/27*d*(-a*d+6*b*c)*x*(b*x^3+a)^(8/3)/b^2+1/12*d^2*x^4*(b*x^3+a)^(8/3)/b+5/243*a^2*(a^2*d^2-6*a*b*c*d+27*b^2*c^2)*arctan((1+2*b^(1/3)*x/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/b^(7/3)-5/486*a^2*(a^2*d^2-6*a*b*c*d+27*b^2*c^2)*ln(-b^(1/3)*x+(b*x^3+a)^(1/3))/b^(7/3),1],
[(b*x^3+a)^(2/3)*(d*x^3+c)^2,x,4,1/81*(27*c^2-a*d*(-2*a*d+9*b*c)/b^2)*x*(b*x^3+a)^(2/3)+1/27*d*(-2*a*d+9*b*c)*x*(b*x^3+a)^(5/3)/b^2+1/9*d^2*x^4*(b*x^3+a)^(5/3)/b+2/81*a*(2*a^2*d^2-9*a*b*c*d+27*b^2*c^2)*arctan((1+2*b^(1/3)*x/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/b^(7/3)-1/81*a*(2*a^2*d^2-9*a*b*c*d+27*b^2*c^2)*ln(-b^(1/3)*x+(b*x^3+a)^(1/3))/b^(7/3),1],
[(d*x^3+c)^2/(b*x^3+a)^(1/3),x,3,2/9*d*(-a*d+3*b*c)*x*(b*x^3+a)^(2/3)/b^2+1/6*d^2*x^4*(b*x^3+a)^(2/3)/b+1/9*(2*a^2*d^2-6*a*b*c*d+9*b^2*c^2)*arctan((1+2*b^(1/3)*x/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/b^(7/3)-1/18*(2*a^2*d^2-6*a*b*c*d+9*b^2*c^2)*ln(-b^(1/3)*x+(b*x^3+a)^(1/3))/b^(7/3),1],
[(d*x^3+c)^2/(b*x^3+a)^(4/3),x,3,(-a*d+b*c)^2*x/a/b^2/(b*x^3+a)^(1/3)+1/3*d^2*x*(b*x^3+a)^(2/3)/b^2+2/3*d*(-2*a*d+3*b*c)*arctan((1+2*b^(1/3)*x/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/b^(7/3)-1/3*d*(-2*a*d+3*b*c)*ln(-b^(1/3)*x+(b*x^3+a)^(1/3))/b^(7/3),1],
[(d*x^3+c)^2/(b*x^3+a)^(7/3),x,3,1/4*(-a*d+b*c)^2*x/a/b^2/(b*x^3+a)^(4/3)+1/4*(-a*d+b*c)*(5*a*d+3*b*c)*x/a^2/b^2/(b*x^3+a)^(1/3)+d^2*arctan((1+2*b^(1/3)*x/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/b^(7/3)-1/2*d^2*ln(-b^(1/3)*x+(b*x^3+a)^(1/3))/b^(7/3),1],
[(d*x^3+c)^2/(b*x^3+a)^(10/3),x,3,1/7*(-a*d+b*c)^2*x/a/b^2/(b*x^3+a)^(7/3)+1/14*(-a*d+b*c)*(4*a*d+3*b*c)*x/a^2/b^2/(b*x^3+a)^(4/3)+1/14*(2*a^2*d^2+3*a*b*c*d+9*b^2*c^2)*x/a^3/b^2/(b*x^3+a)^(1/3),1],
[(d*x^3+c)^2/(b*x^3+a)^(13/3),x,4,1/10*(-a*d+b*c)^2*x/a/b^2/(b*x^3+a)^(10/3)+1/70*(-a*d+b*c)*(11*a*d+9*b*c)*x/a^2/b^2/(b*x^3+a)^(7/3)+1/140*(2*a^2*d^2+6*a*b*c*d+27*b^2*c^2)*x/a^3/b^2/(b*x^3+a)^(4/3)+3/140*(2*a^2*d^2+6*a*b*c*d+27*b^2*c^2)*x/a^4/b^2/(b*x^3+a)^(1/3),1],
[(d*x^3+c)^2/(b*x^3+a)^(16/3),x,5,1/13*(-a*d+b*c)^2*x/a/b^2/(b*x^3+a)^(13/3)+1/65*(-a*d+b*c)*(7*a*d+6*b*c)*x/a^2/b^2/(b*x^3+a)^(10/3)+1/455*(2*a^2*d^2+9*a*b*c*d+54*b^2*c^2)*x/a^3/b^2/(b*x^3+a)^(7/3)+3/910*(2*a^2*d^2+9*a*b*c*d+54*b^2*c^2)*x/a^4/b^2/(b*x^3+a)^(4/3)+9/910*(2*a^2*d^2+9*a*b*c*d+54*b^2*c^2)*x/a^5/b^2/(b*x^3+a)^(1/3),1],
[(d*x^3+c)^2/(b*x^3+a)^(19/3),x,6,1/16*(-a*d+b*c)^2*x/a/b^2/(b*x^3+a)^(16/3)+1/208*(-a*d+b*c)*(17*a*d+15*b*c)*x/a^2/b^2/(b*x^3+a)^(13/3)+1/520*(a^2*d^2+6*a*b*c*d+45*b^2*c^2)*x/a^3/b^2/(b*x^3+a)^(10/3)+9/3640*(a^2*d^2+6*a*b*c*d+45*b^2*c^2)*x/a^4/b^2/(b*x^3+a)^(7/3)+27/7280*(a^2*d^2+6*a*b*c*d+45*b^2*c^2)*x/a^5/b^2/(b*x^3+a)^(4/3)+81/7280*(a^2*d^2+6*a*b*c*d+45*b^2*c^2)*x/a^6/b^2/(b*x^3+a)^(1/3),1],
[(b*x^3+a)^(7/3)*(d*x^3+c)^2,x,4,2/77*d*(-a*d+7*b*c)*x*(b*x^3+a)^(10/3)/b^2+1/14*d^2*x^4*(b*x^3+a)^(10/3)/b+1/77*a^2*(77*b^2*c^2-2*a*d*(-a*d+7*b*c))*x*(b*x^3+a)^(1/3)*hypergeom([-7/3, 1/3],[4/3],-b*x^3/a)/b^2/(1+b*x^3/a)^(1/3),1],
[(b*x^3+a)^(4/3)*(d*x^3+c)^2,x,4,1/44*d*(-2*a*d+11*b*c)*x*(b*x^3+a)^(7/3)/b^2+1/11*d^2*x^4*(b*x^3+a)^(7/3)/b+1/44*a*(2*a^2*d^2-11*a*b*c*d+44*b^2*c^2)*x*(b*x^3+a)^(1/3)*hypergeom([-4/3, 1/3],[4/3],-b*x^3/a)/b^2/(1+b*x^3/a)^(1/3),1],
[(b*x^3+a)^(1/3)*(d*x^3+c)^2,x,4,1/10*d*(-a*d+4*b*c)*x*(b*x^3+a)^(4/3)/b^2+1/8*d^2*x^4*(b*x^3+a)^(4/3)/b+1/10*(a^2*d^2-4*a*b*c*d+10*b^2*c^2)*x*(b*x^3+a)^(1/3)*hypergeom([-1/3, 1/3],[4/3],-b*x^3/a)/b^2/(1+b*x^3/a)^(1/3),1],
[(d*x^3+c)^2/(b*x^3+a)^(2/3),x,4,1/5*d*(-2*a*d+5*b*c)*x*(b*x^3+a)^(1/3)/b^2+1/5*d^2*x^4*(b*x^3+a)^(1/3)/b+1/5*(5*c^2-a*d*(-2*a*d+5*b*c)/b^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],
[(d*x^3+c)^2/(b*x^3+a)^(5/3),x,4,1/2*(-a*d+b*c)^2*x/a/b^2/(b*x^3+a)^(2/3)+1/2*d^2*x*(b*x^3+a)^(1/3)/b^2+1/2*(-2*a^2*d^2+2*a*b*c*d+b^2*c^2)*x*(1+b*x^3/a)^(2/3)*hypergeom([1/3, 2/3],[4/3],-b*x^3/a)/a/b^2/(b*x^3+a)^(2/3),1],
[(d*x^3+c)^2/(b*x^3+a)^(8/3),x,4,1/5*(-a*d+b*c)^2*x/a/b^2/(b*x^3+a)^(5/3)-d^2*x/b^2/(b*x^3+a)^(2/3)+2/5*(2*a^2*d^2+a*b*c*d+2*b^2*c^2)*x*(1+b*x^3/a)^(2/3)*hypergeom([1/3, 5/3],[4/3],-b*x^3/a)/a^2/b^2/(b*x^3+a)^(2/3),1],
[(b*x^3+a)^3/(d*x^3+c)^(13/3),x,4,-1/10*(-a*d+b*c)^3*x/c/d^3/(d*x^3+c)^(10/3)+3/70*(-a*d+b*c)^2*(3*a*d+7*b*c)*x/c^2/d^3/(d*x^3+c)^(7/3)-3/140*(-a*d+b*c)*(9*a^2*d^2+12*a*b*c*d+14*b^2*c^2)*x/c^3/d^3/(d*x^3+c)^(4/3)+1/140*(81*a^3*d^3+27*a^2*b*c*d^2+18*a*b^2*c^2*d+14*b^3*c^3)*x/c^4/d^3/(d*x^3+c)^(1/3),1],
[(b*x^3+a)^(8/3)/(d*x^3+c),x,5,-1/18*b*(-11*a*d+6*b*c)*x*(b*x^3+a)^(2/3)/d^2+1/6*b*x*(b*x^3+a)^(5/3)/d+1/9*b^(2/3)*(20*a^2*d^2-24*a*b*c*d+9*b^2*c^2)*arctan((1+2*b^(1/3)*x/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/d^3-(-a*d+b*c)^(8/3)*arctan((1+2*(-a*d+b*c)^(1/3)*x/c^(1/3)/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/c^(2/3)/d^3-1/6*(-a*d+b*c)^(8/3)*ln(d*x^3+c)/c^(2/3)/d^3+1/2*(-a*d+b*c)^(8/3)*ln((-a*d+b*c)^(1/3)*x/c^(1/3)-(b*x^3+a)^(1/3))/c^(2/3)/d^3-1/18*b^(2/3)*(20*a^2*d^2-24*a*b*c*d+9*b^2*c^2)*ln(-b^(1/3)*x+(b*x^3+a)^(1/3))/d^3,1],
[(b*x^3+a)^(5/3)/(d*x^3+c),x,4,1/3*b*x*(b*x^3+a)^(2/3)/d-1/3*b^(2/3)*(-5*a*d+3*b*c)*arctan((1+2*b^(1/3)*x/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/d^2+(-a*d+b*c)^(5/3)*arctan((1+2*(-a*d+b*c)^(1/3)*x/c^(1/3)/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/c^(2/3)/d^2+1/6*(-a*d+b*c)^(5/3)*ln(d*x^3+c)/c^(2/3)/d^2-1/2*(-a*d+b*c)^(5/3)*ln((-a*d+b*c)^(1/3)*x/c^(1/3)-(b*x^3+a)^(1/3))/c^(2/3)/d^2+1/6*b^(2/3)*(-5*a*d+3*b*c)*ln(-b^(1/3)*x+(b*x^3+a)^(1/3))/d^2,1],
[(b*x^3+a)^(2/3)/(d*x^3+c),x,3,b^(2/3)*arctan((1+2*b^(1/3)*x/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/d-(-a*d+b*c)^(2/3)*arctan((1+2*(-a*d+b*c)^(1/3)*x/c^(1/3)/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/c^(2/3)/d-1/6*(-a*d+b*c)^(2/3)*ln(d*x^3+c)/c^(2/3)/d+1/2*(-a*d+b*c)^(2/3)*ln((-a*d+b*c)^(1/3)*x/c^(1/3)-(b*x^3+a)^(1/3))/c^(2/3)/d-1/2*b^(2/3)*ln(-b^(1/3)*x+(b*x^3+a)^(1/3))/d,1],
[1/(b*x^3+a)^(1/3)/(d*x^3+c),x,1,arctan((1+2*(-a*d+b*c)^(1/3)*x/c^(1/3)/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/c^(2/3)/(-a*d+b*c)^(1/3)+1/6*ln(d*x^3+c)/c^(2/3)/(-a*d+b*c)^(1/3)-1/2*ln((-a*d+b*c)^(1/3)*x/c^(1/3)-(b*x^3+a)^(1/3))/c^(2/3)/(-a*d+b*c)^(1/3),1],
[1/(b*x^3+a)^(4/3)/(d*x^3+c),x,2,b*x/a/(-a*d+b*c)/(b*x^3+a)^(1/3)-d*arctan((1+2*(-a*d+b*c)^(1/3)*x/c^(1/3)/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/c^(2/3)/(-a*d+b*c)^(4/3)-1/6*d*ln(d*x^3+c)/c^(2/3)/(-a*d+b*c)^(4/3)+1/2*d*ln((-a*d+b*c)^(1/3)*x/c^(1/3)-(b*x^3+a)^(1/3))/c^(2/3)/(-a*d+b*c)^(4/3),1],
[1/(b*x^3+a)^(7/3)/(d*x^3+c),x,3,1/4*b*x/a/(-a*d+b*c)/(b*x^3+a)^(4/3)+1/4*b*(-7*a*d+3*b*c)*x/a^2/(-a*d+b*c)^2/(b*x^3+a)^(1/3)+d^2*arctan((1+2*(-a*d+b*c)^(1/3)*x/c^(1/3)/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/c^(2/3)/(-a*d+b*c)^(7/3)+1/6*d^2*ln(d*x^3+c)/c^(2/3)/(-a*d+b*c)^(7/3)-1/2*d^2*ln((-a*d+b*c)^(1/3)*x/c^(1/3)-(b*x^3+a)^(1/3))/c^(2/3)/(-a*d+b*c)^(7/3),1],
[1/(b*x^3+a)^(10/3)/(d*x^3+c),x,4,1/7*b*x/a/(-a*d+b*c)/(b*x^3+a)^(7/3)+1/28*b*(-13*a*d+6*b*c)*x/a^2/(-a*d+b*c)^2/(b*x^3+a)^(4/3)+1/28*b*(67*a^2*d^2-57*a*b*c*d+18*b^2*c^2)*x/a^3/(-a*d+b*c)^3/(b*x^3+a)^(1/3)-d^3*arctan((1+2*(-a*d+b*c)^(1/3)*x/c^(1/3)/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/c^(2/3)/(-a*d+b*c)^(10/3)-1/6*d^3*ln(d*x^3+c)/c^(2/3)/(-a*d+b*c)^(10/3)+1/2*d^3*ln((-a*d+b*c)^(1/3)*x/c^(1/3)-(b*x^3+a)^(1/3))/c^(2/3)/(-a*d+b*c)^(10/3),1],
[(b*x^3+a)^(4/3)/(d*x^3+c),x,2,a*x*(b*x^3+a)^(1/3)*AppellF1(1/3,-4/3,1,4/3,-b*x^3/a,-d*x^3/c)/c/(1+b*x^3/a)^(1/3),1],
[(b*x^3+a)^(1/3)/(d*x^3+c),x,2,x*(b*x^3+a)^(1/3)*AppellF1(1/3,-1/3,1,4/3,-b*x^3/a,-d*x^3/c)/c/(1+b*x^3/a)^(1/3),1],
[1/(b*x^3+a)^(2/3)/(d*x^3+c),x,2,x*(1+b*x^3/a)^(2/3)*AppellF1(1/3,2/3,1,4/3,-b*x^3/a,-d*x^3/c)/c/(b*x^3+a)^(2/3),1],
[1/(b*x^3+a)^(5/3)/(d*x^3+c),x,2,x*(1+b*x^3/a)^(2/3)*AppellF1(1/3,5/3,1,4/3,-b*x^3/a,-d*x^3/c)/a/c/(b*x^3+a)^(2/3),1],
[1/(b*x^3+a)^(8/3)/(d*x^3+c),x,2,x*(1+b*x^3/a)^(2/3)*AppellF1(1/3,8/3,1,4/3,-b*x^3/a,-d*x^3/c)/a^2/c/(b*x^3+a)^(2/3),1],
[(b*x^3+a)^(8/3)/(d*x^3+c)^2,x,5,1/3*b*(-a*d+2*b*c)*x*(b*x^3+a)^(2/3)/c/d^2-1/3*(-a*d+b*c)*x*(b*x^3+a)^(5/3)/c/d/(d*x^3+c)-2/3*b^(5/3)*(-4*a*d+3*b*c)*arctan((1+2*b^(1/3)*x/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/d^3+2/3*(-a*d+b*c)^(5/3)*(a*d+3*b*c)*arctan((1+2*(-a*d+b*c)^(1/3)*x/c^(1/3)/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/c^(5/3)/d^3+1/9*(-a*d+b*c)^(5/3)*(a*d+3*b*c)*ln(d*x^3+c)/c^(5/3)/d^3-1/3*(-a*d+b*c)^(5/3)*(a*d+3*b*c)*ln((-a*d+b*c)^(1/3)*x/c^(1/3)-(b*x^3+a)^(1/3))/c^(5/3)/d^3+1/3*b^(5/3)*(-4*a*d+3*b*c)*ln(-b^(1/3)*x+(b*x^3+a)^(1/3))/d^3,1],
[(b*x^3+a)^(5/3)/(d*x^3+c)^2,x,4,-1/3*(-a*d+b*c)*x*(b*x^3+a)^(2/3)/c/d/(d*x^3+c)+b^(5/3)*arctan((1+2*b^(1/3)*x/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/d^2-1/3*(-a*d+b*c)^(2/3)*(2*a*d+3*b*c)*arctan((1+2*(-a*d+b*c)^(1/3)*x/c^(1/3)/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/c^(5/3)/d^2-1/18*(-a*d+b*c)^(2/3)*(2*a*d+3*b*c)*ln(d*x^3+c)/c^(5/3)/d^2+1/6*(-a*d+b*c)^(2/3)*(2*a*d+3*b*c)*ln((-a*d+b*c)^(1/3)*x/c^(1/3)-(b*x^3+a)^(1/3))/c^(5/3)/d^2-1/2*b^(5/3)*ln(-b^(1/3)*x+(b*x^3+a)^(1/3))/d^2,1],
[(b*x^3+a)^(2/3)/(d*x^3+c)^2,x,2,1/3*x*(b*x^3+a)^(2/3)/c/(d*x^3+c)+2/3*a*arctan((1+2*(-a*d+b*c)^(1/3)*x/c^(1/3)/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/c^(5/3)/(-a*d+b*c)^(1/3)+1/9*a*ln(d*x^3+c)/c^(5/3)/(-a*d+b*c)^(1/3)-1/3*a*ln((-a*d+b*c)^(1/3)*x/c^(1/3)-(b*x^3+a)^(1/3))/c^(5/3)/(-a*d+b*c)^(1/3),1],
[1/(b*x^3+a)^(1/3)/(d*x^3+c)^2,x,2,-1/3*d*x*(b*x^3+a)^(2/3)/c/(-a*d+b*c)/(d*x^3+c)+1/3*(-2*a*d+3*b*c)*arctan((1+2*(-a*d+b*c)^(1/3)*x/c^(1/3)/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/c^(5/3)/(-a*d+b*c)^(4/3)+1/18*(-2*a*d+3*b*c)*ln(d*x^3+c)/c^(5/3)/(-a*d+b*c)^(4/3)-1/6*(-2*a*d+3*b*c)*ln((-a*d+b*c)^(1/3)*x/c^(1/3)-(b*x^3+a)^(1/3))/c^(5/3)/(-a*d+b*c)^(4/3),1],
[1/(b*x^3+a)^(4/3)/(d*x^3+c)^2,x,3,1/3*b*(a*d+3*b*c)*x/a/c/(-a*d+b*c)^2/(b*x^3+a)^(1/3)-1/3*d*x/c/(-a*d+b*c)/(b*x^3+a)^(1/3)/(d*x^3+c)-2/3*d*(-a*d+3*b*c)*arctan((1+2*(-a*d+b*c)^(1/3)*x/c^(1/3)/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/c^(5/3)/(-a*d+b*c)^(7/3)-1/9*d*(-a*d+3*b*c)*ln(d*x^3+c)/c^(5/3)/(-a*d+b*c)^(7/3)+1/3*d*(-a*d+3*b*c)*ln((-a*d+b*c)^(1/3)*x/c^(1/3)-(b*x^3+a)^(1/3))/c^(5/3)/(-a*d+b*c)^(7/3),1],
[1/(b*x^3+a)^(7/3)/(d*x^3+c)^2,x,4,1/12*b*(4*a*d+3*b*c)*x/a/c/(-a*d+b*c)^2/(b*x^3+a)^(4/3)+1/12*b*(-4*a^2*d^2-33*a*b*c*d+9*b^2*c^2)*x/a^2/c/(-a*d+b*c)^3/(b*x^3+a)^(1/3)-1/3*d*x/c/(-a*d+b*c)/(b*x^3+a)^(4/3)/(d*x^3+c)+1/3*d^2*(-2*a*d+9*b*c)*arctan((1+2*(-a*d+b*c)^(1/3)*x/c^(1/3)/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/c^(5/3)/(-a*d+b*c)^(10/3)+1/18*d^2*(-2*a*d+9*b*c)*ln(d*x^3+c)/c^(5/3)/(-a*d+b*c)^(10/3)-1/6*d^2*(-2*a*d+9*b*c)*ln((-a*d+b*c)^(1/3)*x/c^(1/3)-(b*x^3+a)^(1/3))/c^(5/3)/(-a*d+b*c)^(10/3),1],
[(b*x^3+a)^(4/3)/(d*x^3+c)^2,x,2,a*x*(b*x^3+a)^(1/3)*AppellF1(1/3,-4/3,2,4/3,-b*x^3/a,-d*x^3/c)/c^2/(1+b*x^3/a)^(1/3),1],
[(b*x^3+a)^(1/3)/(d*x^3+c)^2,x,2,x*(b*x^3+a)^(1/3)*AppellF1(1/3,-1/3,2,4/3,-b*x^3/a,-d*x^3/c)/c^2/(1+b*x^3/a)^(1/3),1],
[1/(b*x^3+a)^(2/3)/(d*x^3+c)^2,x,2,x*(1+b*x^3/a)^(2/3)*AppellF1(1/3,2/3,2,4/3,-b*x^3/a,-d*x^3/c)/c^2/(b*x^3+a)^(2/3),1],
[1/(b*x^3+a)^(5/3)/(d*x^3+c)^2,x,2,x*(1+b*x^3/a)^(2/3)*AppellF1(1/3,5/3,2,4/3,-b*x^3/a,-d*x^3/c)/a/c^2/(b*x^3+a)^(2/3),1],
[1/(b*x^3+a)^(8/3)/(d*x^3+c)^2,x,2,x*(1+b*x^3/a)^(2/3)*AppellF1(1/3,8/3,2,4/3,-b*x^3/a,-d*x^3/c)/a^2/c^2/(b*x^3+a)^(2/3),1],
[(b*x^3+a)^(14/3)/(d*x^3+c)^3,x,7,-1/18*b*(-a*d+2*b*c)*(-5*a^2*d^2-18*a*b*c*d+18*b^2*c^2)*x*(b*x^3+a)^(2/3)/c^2/d^4+1/18*b*(-5*a^2*d^2-10*a*b*c*d+18*b^2*c^2)*x*(b*x^3+a)^(5/3)/c^2/d^3-1/6*(-a*d+b*c)*x*(b*x^3+a)^(11/3)/c/d/(d*x^3+c)^2-1/18*(-a*d+b*c)*(5*a*d+12*b*c)*x*(b*x^3+a)^(8/3)/c^2/d^2/(d*x^3+c)+1/9*b^(8/3)*(77*a^2*d^2-126*a*b*c*d+54*b^2*c^2)*arctan((1+2*b^(1/3)*x/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/d^5-1/9*(-a*d+b*c)^(8/3)*(5*a^2*d^2+18*a*b*c*d+54*b^2*c^2)*arctan((1+2*(-a*d+b*c)^(1/3)*x/c^(1/3)/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/c^(8/3)/d^5-1/54*(-a*d+b*c)^(8/3)*(5*a^2*d^2+18*a*b*c*d+54*b^2*c^2)*ln(d*x^3+c)/c^(8/3)/d^5+1/18*(-a*d+b*c)^(8/3)*(5*a^2*d^2+18*a*b*c*d+54*b^2*c^2)*ln((-a*d+b*c)^(1/3)*x/c^(1/3)-(b*x^3+a)^(1/3))/c^(8/3)/d^5-1/18*b^(8/3)*(77*a^2*d^2-126*a*b*c*d+54*b^2*c^2)*ln(-b^(1/3)*x+(b*x^3+a)^(1/3))/d^5,1],
[(b*x^3+a)^(11/3)/(d*x^3+c)^3,x,6,1/18*b*(-5*a^2*d^2-7*a*b*c*d+18*b^2*c^2)*x*(b*x^3+a)^(2/3)/c^2/d^3-1/6*(-a*d+b*c)*x*(b*x^3+a)^(8/3)/c/d/(d*x^3+c)^2-1/18*(-a*d+b*c)*(5*a*d+9*b*c)*x*(b*x^3+a)^(5/3)/c^2/d^2/(d*x^3+c)-1/3*b^(8/3)*(-11*a*d+9*b*c)*arctan((1+2*b^(1/3)*x/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/d^4+1/9*(-a*d+b*c)^(5/3)*(5*a^2*d^2+12*a*b*c*d+27*b^2*c^2)*arctan((1+2*(-a*d+b*c)^(1/3)*x/c^(1/3)/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/c^(8/3)/d^4+1/54*(-a*d+b*c)^(5/3)*(5*a^2*d^2+12*a*b*c*d+27*b^2*c^2)*ln(d*x^3+c)/c^(8/3)/d^4-1/18*(-a*d+b*c)^(5/3)*(5*a^2*d^2+12*a*b*c*d+27*b^2*c^2)*ln((-a*d+b*c)^(1/3)*x/c^(1/3)-(b*x^3+a)^(1/3))/c^(8/3)/d^4+1/6*b^(8/3)*(-11*a*d+9*b*c)*ln(-b^(1/3)*x+(b*x^3+a)^(1/3))/d^4,1],
[(b*x^3+a)^(8/3)/(d*x^3+c)^3,x,5,-1/6*(-a*d+b*c)*x*(b*x^3+a)^(5/3)/c/d/(d*x^3+c)^2-1/18*(-a*d+b*c)*(5*a*d+6*b*c)*x*(b*x^3+a)^(2/3)/c^2/d^2/(d*x^3+c)+b^(8/3)*arctan((1+2*b^(1/3)*x/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/d^3-1/9*(-a*d+b*c)^(2/3)*(5*a^2*d^2+6*a*b*c*d+9*b^2*c^2)*arctan((1+2*(-a*d+b*c)^(1/3)*x/c^(1/3)/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/c^(8/3)/d^3-1/54*(-a*d+b*c)^(2/3)*(5*a^2*d^2+6*a*b*c*d+9*b^2*c^2)*ln(d*x^3+c)/c^(8/3)/d^3+1/18*(-a*d+b*c)^(2/3)*(5*a^2*d^2+6*a*b*c*d+9*b^2*c^2)*ln((-a*d+b*c)^(1/3)*x/c^(1/3)-(b*x^3+a)^(1/3))/c^(8/3)/d^3-1/2*b^(8/3)*ln(-b^(1/3)*x+(b*x^3+a)^(1/3))/d^3,1],
[(b*x^3+a)^(5/3)/(d*x^3+c)^3,x,3,1/6*x*(b*x^3+a)^(5/3)/c/(d*x^3+c)^2+5/18*a*x*(b*x^3+a)^(2/3)/c^2/(d*x^3+c)+5/9*a^2*arctan((1+2*(-a*d+b*c)^(1/3)*x/c^(1/3)/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/c^(8/3)/(-a*d+b*c)^(1/3)+5/54*a^2*ln(d*x^3+c)/c^(8/3)/(-a*d+b*c)^(1/3)-5/18*a^2*ln((-a*d+b*c)^(1/3)*x/c^(1/3)-(b*x^3+a)^(1/3))/c^(8/3)/(-a*d+b*c)^(1/3),1],
[(b*x^3+a)^(2/3)/(d*x^3+c)^3,x,3,1/6*x*(b*x^3+a)^(2/3)/c/(d*x^3+c)^2+1/18*(-5*a*d+3*b*c)*x*(b*x^3+a)^(2/3)/c^2/(-a*d+b*c)/(d*x^3+c)+1/9*a*(-5*a*d+6*b*c)*arctan((1+2*(-a*d+b*c)^(1/3)*x/c^(1/3)/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/c^(8/3)/(-a*d+b*c)^(4/3)+1/54*a*(-5*a*d+6*b*c)*ln(d*x^3+c)/c^(8/3)/(-a*d+b*c)^(4/3)-1/18*a*(-5*a*d+6*b*c)*ln((-a*d+b*c)^(1/3)*x/c^(1/3)-(b*x^3+a)^(1/3))/c^(8/3)/(-a*d+b*c)^(4/3),1],
[1/(b*x^3+a)^(1/3)/(d*x^3+c)^3,x,3,-1/6*d*x*(b*x^3+a)^(2/3)/c/(-a*d+b*c)/(d*x^3+c)^2-1/18*d*(-5*a*d+9*b*c)*x*(b*x^3+a)^(2/3)/c^2/(-a*d+b*c)^2/(d*x^3+c)+1/9*(5*a^2*d^2-12*a*b*c*d+9*b^2*c^2)*arctan((1+2*(-a*d+b*c)^(1/3)*x/c^(1/3)/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/c^(8/3)/(-a*d+b*c)^(7/3)+1/54*(5*a^2*d^2-12*a*b*c*d+9*b^2*c^2)*ln(d*x^3+c)/c^(8/3)/(-a*d+b*c)^(7/3)-1/18*(5*a^2*d^2-12*a*b*c*d+9*b^2*c^2)*ln((-a*d+b*c)^(1/3)*x/c^(1/3)-(b*x^3+a)^(1/3))/c^(8/3)/(-a*d+b*c)^(7/3),1],
[1/(b*x^3+a)^(4/3)/(d*x^3+c)^3,x,4,1/18*b*(-5*a^2*d^2+15*a*b*c*d+18*b^2*c^2)*x/a/c^2/(-a*d+b*c)^3/(b*x^3+a)^(1/3)-1/6*d*x/c/(-a*d+b*c)/(b*x^3+a)^(1/3)/(d*x^3+c)^2-1/18*d*(-5*a*d+12*b*c)*x/c^2/(-a*d+b*c)^2/(b*x^3+a)^(1/3)/(d*x^3+c)-1/9*d*(5*a^2*d^2-18*a*b*c*d+27*b^2*c^2)*arctan((1+2*(-a*d+b*c)^(1/3)*x/c^(1/3)/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/c^(8/3)/(-a*d+b*c)^(10/3)-1/54*d*(5*a^2*d^2-18*a*b*c*d+27*b^2*c^2)*ln(d*x^3+c)/c^(8/3)/(-a*d+b*c)^(10/3)+1/18*d*(5*a^2*d^2-18*a*b*c*d+27*b^2*c^2)*ln((-a*d+b*c)^(1/3)*x/c^(1/3)-(b*x^3+a)^(1/3))/c^(8/3)/(-a*d+b*c)^(10/3),1],
[1/(b*x^3+a)^(7/3)/(d*x^3+c)^3,x,5,1/36*b*(-10*a^2*d^2+36*a*b*c*d+9*b^2*c^2)*x/a/c^2/(-a*d+b*c)^3/(b*x^3+a)^(4/3)+1/36*b*(10*a^3*d^3-42*a^2*b*c*d^2-135*a*b^2*c^2*d+27*b^3*c^3)*x/a^2/c^2/(-a*d+b*c)^4/(b*x^3+a)^(1/3)-1/6*d*x/c/(-a*d+b*c)/(b*x^3+a)^(4/3)/(d*x^3+c)^2-5/18*d*(-a*d+3*b*c)*x/c^2/(-a*d+b*c)^2/(b*x^3+a)^(4/3)/(d*x^3+c)+1/9*d^2*(5*a^2*d^2-24*a*b*c*d+54*b^2*c^2)*arctan((1+2*(-a*d+b*c)^(1/3)*x/c^(1/3)/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/c^(8/3)/(-a*d+b*c)^(13/3)+1/54*d^2*(5*a^2*d^2-24*a*b*c*d+54*b^2*c^2)*ln(d*x^3+c)/c^(8/3)/(-a*d+b*c)^(13/3)-1/18*d^2*(5*a^2*d^2-24*a*b*c*d+54*b^2*c^2)*ln((-a*d+b*c)^(1/3)*x/c^(1/3)-(b*x^3+a)^(1/3))/c^(8/3)/(-a*d+b*c)^(13/3),1],
[(b*x^3+a)^(4/3)/(d*x^3+c)^3,x,2,a*x*(b*x^3+a)^(1/3)*AppellF1(1/3,-4/3,3,4/3,-b*x^3/a,-d*x^3/c)/c^3/(1+b*x^3/a)^(1/3),1],
[(b*x^3+a)^(1/3)/(d*x^3+c)^3,x,2,x*(b*x^3+a)^(1/3)*AppellF1(1/3,-1/3,3,4/3,-b*x^3/a,-d*x^3/c)/c^3/(1+b*x^3/a)^(1/3),1],
[1/(b*x^3+a)^(2/3)/(d*x^3+c)^3,x,2,x*(1+b*x^3/a)^(2/3)*AppellF1(1/3,2/3,3,4/3,-b*x^3/a,-d*x^3/c)/c^3/(b*x^3+a)^(2/3),1],
[1/(b*x^3+a)^(5/3)/(d*x^3+c)^3,x,2,x*(1+b*x^3/a)^(2/3)*AppellF1(1/3,5/3,3,4/3,-b*x^3/a,-d*x^3/c)/a/c^3/(b*x^3+a)^(2/3),1],
[1/(b*x^3+a)^(8/3)/(d*x^3+c)^3,x,2,x*(1+b*x^3/a)^(2/3)*AppellF1(1/3,8/3,3,4/3,-b*x^3/a,-d*x^3/c)/a^2/c^3/(b*x^3+a)^(2/3),1],
[(b*x^3+a)^(5/4)/(d*x^3+c)^(31/12),x,1,x*(b*x^3+a)^(5/4)*hypergeom([-5/4, 1/3],[4/3],-(-a*d+b*c)*x^3/a/(d*x^3+c))/c/(c*(b*x^3+a)/a/(d*x^3+c))^(5/4)/(d*x^3+c)^(19/12),1],
[(b*x^3+a)^(3/4)/(d*x^3+c)^(25/12),x,1,x*(b*x^3+a)^(3/4)*hypergeom([-3/4, 1/3],[4/3],-(-a*d+b*c)*x^3/a/(d*x^3+c))/c/(c*(b*x^3+a)/a/(d*x^3+c))^(3/4)/(d*x^3+c)^(13/12),1],
[(b*x^3+a)^(1/4)/(d*x^3+c)^(19/12),x,1,x*(b*x^3+a)^(1/4)*hypergeom([-1/4, 1/3],[4/3],-(-a*d+b*c)*x^3/a/(d*x^3+c))/c/(c*(b*x^3+a)/a/(d*x^3+c))^(1/4)/(d*x^3+c)^(7/12),1],
[1/(b*x^3+a)^(1/4)/(d*x^3+c)^(13/12),x,1,x*(c*(b*x^3+a)/a/(d*x^3+c))^(1/4)*hypergeom([1/4, 1/3],[4/3],-(-a*d+b*c)*x^3/a/(d*x^3+c))/c/(b*x^3+a)^(1/4)/(d*x^3+c)^(1/12),1],
[1/(b*x^3+a)^(3/4)/(d*x^3+c)^(7/12),x,1,x*(b*x^3+a)^(1/4)*(a*(d*x^3+c)/c/(b*x^3+a))^(7/12)*hypergeom([1/3, 7/12],[4/3],(-a*d+b*c)*x^3/c/(b*x^3+a))/a/(d*x^3+c)^(7/12),1],
[1/(b*x^3+a)^(5/4)/(d*x^3+c)^(1/12),x,1,x*(a*(d*x^3+c)/c/(b*x^3+a))^(1/12)*hypergeom([1/12, 1/3],[4/3],(-a*d+b*c)*x^3/c/(b*x^3+a))/a/(b*x^3+a)^(1/4)/(d*x^3+c)^(1/12),1],
[(d*x^3+c)^(5/12)/(b*x^3+a)^(7/4),x,1,x*(d*x^3+c)^(5/12)*hypergeom([-5/12, 1/3],[4/3],(-a*d+b*c)*x^3/c/(b*x^3+a))/a/(b*x^3+a)^(3/4)/(a*(d*x^3+c)/c/(b*x^3+a))^(5/12),1],
[(d*x^3+c)^(11/12)/(b*x^3+a)^(9/4),x,1,x*(d*x^3+c)^(11/12)*hypergeom([-11/12, 1/3],[4/3],(-a*d+b*c)*x^3/c/(b*x^3+a))/a/(b*x^3+a)^(5/4)/(a*(d*x^3+c)/c/(b*x^3+a))^(11/12),1],
[(d*x^3+c)^(17/12)/(b*x^3+a)^(11/4),x,1,x*(d*x^3+c)^(17/12)*hypergeom([-17/12, 1/3],[4/3],(-a*d+b*c)*x^3/c/(b*x^3+a))/a/(b*x^3+a)^(7/4)/(a*(d*x^3+c)/c/(b*x^3+a))^(17/12),1],
[(b*x^3+a)^m*(d*x^3+c)^p,x,3,x*(b*x^3+a)^m*(d*x^3+c)^p*AppellF1(1/3,-m,-p,4/3,-b*x^3/a,-d*x^3/c)/((1+b*x^3/a)^m)/((1+d*x^3/c)^p),1],
[(b*x^3+a)^m*(d*x^3+c)^3,x,5,d*(28*a^2*d^2-12*a*b*c*d*(10+3*m)+3*b^2*c^2*(9*m^2+51*m+70))*x*(b*x^3+a)^(1+m)/b^3/(4+3*m)/(7+3*m)/(10+3*m)-d^2*(7*a*d-3*b*c*(10+3*m))*x^4*(b*x^3+a)^(1+m)/b^2/(7+3*m)/(10+3*m)+d^3*x^7*(b*x^3+a)^(1+m)/b/(10+3*m)+(b^3*c^3*(9*m^2+51*m+70)-a*d*(28*a^2*d^2-12*a*b*c*d*(10+3*m)+3*b^2*c^2*(9*m^2+51*m+70))/(4+3*m))*x*(b*x^3+a)^m*hypergeom([1/3, -m],[4/3],-b*x^3/a)/b^3/(7+3*m)/(10+3*m)/((1+b*x^3/a)^m),1],
[(b*x^3+a)^m*(d*x^3+c)^2,x,4,-2*d*(2*a*d-b*c*(7+3*m))*x*(b*x^3+a)^(1+m)/b^2/(4+3*m)/(7+3*m)+d^2*x^4*(b*x^3+a)^(1+m)/b/(7+3*m)+(4*a^2*d^2-2*a*b*c*d*(7+3*m)+b^2*c^2*(9*m^2+33*m+28))*x*(b*x^3+a)^m*hypergeom([1/3, -m],[4/3],-b*x^3/a)/b^2/(4+3*m)/(7+3*m)/((1+b*x^3/a)^m),1],
[(b*x^3+a)^m*(d*x^3+c),x,3,d*x*(b*x^3+a)^(1+m)/b/(4+3*m)+(c-a*d/(3*b*m+4*b))*x*(b*x^3+a)^m*hypergeom([1/3, -m],[4/3],-b*x^3/a)/((1+b*x^3/a)^m),1],
[(b*x^3+a)^m/(d*x^3+c),x,2,x*(b*x^3+a)^m*AppellF1(1/3,-m,1,4/3,-b*x^3/a,-d*x^3/c)/c/((1+b*x^3/a)^m),1],
[(b*x^3+a)^m/(d*x^3+c)^2,x,2,x*(b*x^3+a)^m*AppellF1(1/3,-m,2,4/3,-b*x^3/a,-d*x^3/c)/c^2/((1+b*x^3/a)^m),1],
[(b*x^3+a)^m/(d*x^3+c)^3,x,2,x*(b*x^3+a)^m*AppellF1(1/3,-m,3,4/3,-b*x^3/a,-d*x^3/c)/c^3/((1+b*x^3/a)^m),1],
[(b*x^3+a)^(-1-b*c/(-3*a*d+3*b*c))*(d*x^3+c)^(-1+a*d/(-3*a*d+3*b*c)),x,1,x*(d*x^3+c)^(a*d/(-3*a*d+3*b*c))/a/c/((b*x^3+a)^(b*c/(-3*a*d+3*b*c))),1]]: