lst:=[[(c*(b*x+a)^2)^(5/2),x,2,1/6*c^2*(b*x+a)^5*sqrt(c*(b*x+a)^2)/b,1],
[(c*(b*x+a)^2)^(3/2),x,2,1/4*c*(b*x+a)^3*sqrt(c*(b*x+a)^2)/b,1],
[sqrt(c*(b*x+a)^2),x,2,1/2*(b*x+a)*sqrt(c*(b*x+a)^2)/b,1],
[1/sqrt(c*(b*x+a)^2),x,2,(b*x+a)*ln(b*x+a)/b/sqrt(c*(b*x+a)^2),1],
[1/(c*(b*x+a)^2)^(3/2),x,2,-1/2/b/c/(b*x+a)/sqrt(c*(b*x+a)^2),1],
[1/(c*(b*x+a)^2)^(5/2),x,2,-1/4/b/c^2/(b*x+a)^3/sqrt(c*(b*x+a)^2),1],
[sqrt((3+5*x)^2),x,2,1/10*(3+5*x)*sqrt((3+5*x)^2),1],
[sqrt((6+10*x)^2),x,2,1/5*(3+5*x)*sqrt((3+5*x)^2),1],
[1/sqrt((3+5*x)^2),x,2,1/5*(3+5*x)*ln(3+5*x)/sqrt((3+5*x)^2),1],
[1/sqrt((6+10*x)^2),x,2,1/10*(3+5*x)*ln(3+5*x)/sqrt((3+5*x)^2),1],
[1/sqrt(-(2+3*x)^2),x,2,1/3*(2+3*x)*ln(2+3*x)/sqrt(-(2+3*x)^2),1],
[(c*(b*x+a)^3)^(5/2),x,2,2/17*c^2*(b*x+a)^7*sqrt(c*(b*x+a)^3)/b,1],
[(c*(b*x+a)^3)^(3/2),x,2,2/11*c*(b*x+a)^4*sqrt(c*(b*x+a)^3)/b,1],
[sqrt(c*(b*x+a)^3),x,2,2/5*(b*x+a)*sqrt(c*(b*x+a)^3)/b,1],
[1/sqrt(c*(b*x+a)^3),x,2,(-2*b*x-2*a)/b/sqrt(c*(b*x+a)^3),1],
[1/(c*(b*x+a)^3)^(3/2),x,2,-2/7/b/c/(b*x+a)^2/sqrt(c*(b*x+a)^3),1],
[1/(c*(b*x+a)^3)^(5/2),x,2,-2/13/b/c^2/(b*x+a)^5/sqrt(c*(b*x+a)^3),1],
[(c/(b*x+a))^(5/2),x,1,-2/3*c*(c/(b*x+a))^(3/2)/b,1],
[(c/(b*x+a))^(3/2),x,1,-2*c*sqrt(c/(b*x+a))/b,1],
[sqrt(c/(b*x+a)),x,1,2*c/b/sqrt(c/(b*x+a)),1],
[1/sqrt(c/(b*x+a)),x,1,2/3*c/b/(c/(b*x+a))^(3/2),1],
[1/(c/(b*x+a))^(3/2),x,1,2/5*c/b/(c/(b*x+a))^(5/2),1],
[1/(c/(b*x+a))^(5/2),x,1,2/7*c/b/(c/(b*x+a))^(7/2),1],
[(c/(b*x+a)^2)^(5/2),x,2,-1/4*c^2*sqrt(c/(b*x+a)^2)/b/(b*x+a)^3,1],
[(c/(b*x+a)^2)^(3/2),x,2,-1/2*c*sqrt(c/(b*x+a)^2)/b/(b*x+a),1],
[sqrt(c/(b*x+a)^2),x,2,sqrt(c/(b*x+a)^2)*(b*x+a)*ln(b*x+a)/b,1],
[1/sqrt(c/(b*x+a)^2),x,2,1/2*(b*x+a)/b/sqrt(c/(b*x+a)^2),1],
[1/(c/(b*x+a)^2)^(3/2),x,2,1/4*(b*x+a)^3/b/c/sqrt(c/(b*x+a)^2),1],
[1/(c/(b*x+a)^2)^(5/2),x,2,1/6*(b*x+a)^5/b/c^2/sqrt(c/(b*x+a)^2),1],
[(c/(b*x+a)^3)^(5/2),x,2,-2/13*c^2*sqrt(c/(b*x+a)^3)/b/(b*x+a)^5,1],
[(c/(b*x+a)^3)^(3/2),x,2,-2/7*c*sqrt(c/(b*x+a)^3)/b/(b*x+a)^2,1],
[sqrt(c/(b*x+a)^3),x,2,-2*sqrt(c/(b*x+a)^3)*(b*x+a)/b,1],
[1/sqrt(c/(b*x+a)^3),x,2,2/5*(b*x+a)/b/sqrt(c/(b*x+a)^3),1],
[1/(c/(b*x+a)^3)^(3/2),x,2,2/11*(b*x+a)^4/b/c/sqrt(c/(b*x+a)^3),1],
[1/(c/(b*x+a)^3)^(5/2),x,2,2/17*(b*x+a)^7/b/c^2/sqrt(c/(b*x+a)^3),1],
[(c*(b*x+a)^(3/2))^(2/3),x,2,1/2*(b*x+a)*(c*(b*x+a)^(3/2))^(2/3)/b,1],
[(c*(b*x+a)^(2/3))^(3/2),x,2,1/2*c*sqrt(c*(b*x+a)^(2/3))*(b*x+a)^(5/3)/b,1],
[1/(c/(b*x+a)^(3/2))^(2/3),x,2,1/2*(b*x+a)/b/(c/(b*x+a)^(3/2))^(2/3),1],
[1/(c/(b*x+a)^(2/3))^(3/2),x,2,1/2*(b*x+a)^(5/3)/b/c/sqrt(c/(b*x+a)^(2/3)),1],
[(d*x+c)^3*(a+b*(d*x+c)^2),x,3,1/4*a*(d*x+c)^4/d+1/6*b*(d*x+c)^6/d,1],
[(d*x+c)^3*(a+b*(d*x+c)^2)^2,x,4,1/4*a^2*(d*x+c)^4/d+1/3*a*b*(d*x+c)^6/d+1/8*b^2*(d*x+c)^8/d,1],
[(d*x+c)^3*(a+b*(d*x+c)^2)^3,x,4,-1/8*a*(a+b*(d*x+c)^2)^4/b^2/d+1/10*(a+b*(d*x+c)^2)^5/b^2/d,1],
[(2+x)/(1+(2+x)^2),x,2,1/2*ln(1+(2+x)^2),1],
[(2+x)/(1+(2+x)^2)^2,x,2,-1/2/(1+(2+x)^2),1],
[(2+x)/(1+(2+x)^2)^3,x,2,-1/4/(1+(2+x)^2)^2,1],
[(d*x+c)^5*(a+b*(d*x+c)^2)^p,x,4,1/2*a^2*(a+b*(d*x+c)^2)^(p+1)/b^3/d/(p+1)-a*(a+b*(d*x+c)^2)^(2+p)/b^3/d/(2+p)+1/2*(a+b*(d*x+c)^2)^(3+p)/b^3/d/(3+p),1],
[(d*x+c)^4*(a+b*(d*x+c)^2)^p,x,3,1/5*(d*x+c)^5*(a+b*(d*x+c)^2)^(p+1)*hypergeom([1, 7/2+p],[7/2],-b*(d*x+c)^2/a)/a/d,1],
[(d*x+c)^3*(a+b*(d*x+c)^2)^p,x,4,-1/2*a*(a+b*(d*x+c)^2)^(p+1)/b^2/d/(p+1)+1/2*(a+b*(d*x+c)^2)^(2+p)/b^2/d/(2+p),1],
[(d*x+c)^2*(a+b*(d*x+c)^2)^p,x,3,1/3*(d*x+c)^3*(a+b*(d*x+c)^2)^(p+1)*hypergeom([1, 5/2+p],[5/2],-b*(d*x+c)^2/a)/a/d,1],
[(d*x+c)*(a+b*(d*x+c)^2)^p,x,2,1/2*(a+b*(d*x+c)^2)^(p+1)/b/d/(p+1),1],
[(a+b*(d*x+c)^2)^p/(d*x+c),x,3,-1/2*(a+b*(d*x+c)^2)^(p+1)*hypergeom([1, p+1],[2+p],1+b*(d*x+c)^2/a)/a/d/(p+1),1],
[(d*x+c)^3*(a+b*(d*x+c)^3),x,3,1/4*a*(d*x+c)^4/d+1/7*b*(d*x+c)^7/d,1],
[(d*x+c)^3*(a+b*(d*x+c)^3)^2,x,3,1/4*a^2*(d*x+c)^4/d+2/7*a*b*(d*x+c)^7/d+1/10*b^2*(d*x+c)^10/d,1],
[(d*x+c)^3*(a+b*(d*x+c)^3)^3,x,3,1/4*a^3*(d*x+c)^4/d+3/7*a^2*b*(d*x+c)^7/d+3/10*a*b^2*(d*x+c)^10/d+1/13*b^3*(d*x+c)^13/d,1],
[(d*e*x+c*e)^3*(a+b*(d*x+c)^3),x,4,1/4*a*e^3*(d*x+c)^4/d+1/7*b*e^3*(d*x+c)^7/d,1],
[(d*e*x+c*e)^3*(a+b*(d*x+c)^3)^2,x,4,1/4*a^2*e^3*(d*x+c)^4/d+2/7*a*b*e^3*(d*x+c)^7/d+1/10*b^2*e^3*(d*x+c)^10/d,1],
[(d*e*x+c*e)^3*(a+b*(d*x+c)^3)^3,x,4,1/4*a^3*e^3*(d*x+c)^4/d+3/7*a^2*b*e^3*(d*x+c)^7/d+3/10*a*b^2*e^3*(d*x+c)^10/d+1/13*b^3*e^3*(d*x+c)^13/d,1],
[(d*x+c)^4/(a+b*(d*x+c)^3),x,8,1/2*(d*x+c)^2/b/d+a^(2/3)*arctan((a^(1/3)-2*b^(1/3)*(d*x+c))/sqrt(3)/a^(1/3))/sqrt(3)/b^(5/3)/d+1/3*a^(2/3)*ln(a^(1/3)+b^(1/3)*(d*x+c))/b^(5/3)/d-1/6*a^(2/3)*ln(a^(2/3)-a^(1/3)*b^(1/3)*(d*x+c)+b^(2/3)*(d*x+c)^2)/b^(5/3)/d,1],
[(d*x+c)^3/(a+b*(d*x+c)^3),x,8,x/b+a^(1/3)*arctan((a^(1/3)-2*b^(1/3)*(d*x+c))/sqrt(3)/a^(1/3))/sqrt(3)/b^(4/3)/d-1/3*a^(1/3)*ln(a^(1/3)+b^(1/3)*(d*x+c))/b^(4/3)/d+1/6*a^(1/3)*ln(a^(2/3)-a^(1/3)*b^(1/3)*(d*x+c)+b^(2/3)*(d*x+c)^2)/b^(4/3)/d,1],
[(d*x+c)^2/(a+b*(d*x+c)^3),x,2,1/3*ln(a+b*(d*x+c)^3)/b/d,1],
[(d*x+c)/(a+b*(d*x+c)^3),x,7,-arctan((a^(1/3)-2*b^(1/3)*(d*x+c))/sqrt(3)/a^(1/3))/sqrt(3)/a^(1/3)/b^(2/3)/d-1/3*ln(a^(1/3)+b^(1/3)*(d*x+c))/a^(1/3)/b^(2/3)/d+1/6*ln(a^(2/3)-a^(1/3)*b^(1/3)*(d*x+c)+b^(2/3)*(d*x+c)^2)/a^(1/3)/b^(2/3)/d,1],
[1/(a+b*(d*x+c)^3),x,7,-arctan((a^(1/3)-2*b^(1/3)*(d*x+c))/sqrt(3)/a^(1/3))/sqrt(3)/a^(2/3)/b^(1/3)/d+1/3*ln(a^(1/3)+b^(1/3)*(d*x+c))/a^(2/3)/b^(1/3)/d-1/6*ln(a^(2/3)-a^(1/3)*b^(1/3)*(d*x+c)+b^(2/3)*(d*x+c)^2)/a^(2/3)/b^(1/3)/d,1],
[1/(d*x+c)/(a+b*(d*x+c)^3),x,4,ln(d*x+c)/a/d-1/3*ln(a+b*(d*x+c)^3)/a/d,1],
[1/(d*x+c)^2/(a+b*(d*x+c)^3),x,8,-1/a/d/(d*x+c)+b^(1/3)*arctan((a^(1/3)-2*b^(1/3)*(d*x+c))/sqrt(3)/a^(1/3))/sqrt(3)/a^(4/3)/d+1/3*b^(1/3)*ln(a^(1/3)+b^(1/3)*(d*x+c))/a^(4/3)/d-1/6*b^(1/3)*ln(a^(2/3)-a^(1/3)*b^(1/3)*(d*x+c)+b^(2/3)*(d*x+c)^2)/a^(4/3)/d,1],
[1/(d*x+c)^3/(a+b*(d*x+c)^3),x,8,-1/2/a/d/(d*x+c)^2+b^(2/3)*arctan((a^(1/3)-2*b^(1/3)*(d*x+c))/sqrt(3)/a^(1/3))/sqrt(3)/a^(5/3)/d-1/3*b^(2/3)*ln(a^(1/3)+b^(1/3)*(d*x+c))/a^(5/3)/d+1/6*b^(2/3)*ln(a^(2/3)-a^(1/3)*b^(1/3)*(d*x+c)+b^(2/3)*(d*x+c)^2)/a^(5/3)/d,1],
[1/(d*x+c)^4/(a+b*(d*x+c)^3),x,4,-1/3/a/d/(d*x+c)^3-b*ln(d*x+c)/a^2/d+1/3*b*ln(a+b*(d*x+c)^3)/a^2/d,1],
[(d*x+c)^4/(a+b*(d*x+c)^3)^2,x,8,-1/3*(d*x+c)^2/b/d/(a+b*(d*x+c)^3)-2/3*arctan((a^(1/3)-2*b^(1/3)*(d*x+c))/sqrt(3)/a^(1/3))/sqrt(3)/a^(1/3)/b^(5/3)/d-2/9*ln(a^(1/3)+b^(1/3)*(d*x+c))/a^(1/3)/b^(5/3)/d+1/9*ln(a^(2/3)-a^(1/3)*b^(1/3)*(d*x+c)+b^(2/3)*(d*x+c)^2)/a^(1/3)/b^(5/3)/d,1],
[(d*x+c)^3/(a+b*(d*x+c)^3)^2,x,8,-1/3*(d*x+c)/b/d/(a+b*(d*x+c)^3)-1/3*arctan((a^(1/3)-2*b^(1/3)*(d*x+c))/sqrt(3)/a^(1/3))/sqrt(3)/a^(2/3)/b^(4/3)/d+1/9*ln(a^(1/3)+b^(1/3)*(d*x+c))/a^(2/3)/b^(4/3)/d-1/18*ln(a^(2/3)-a^(1/3)*b^(1/3)*(d*x+c)+b^(2/3)*(d*x+c)^2)/a^(2/3)/b^(4/3)/d,1],
[(d*x+c)^2/(a+b*(d*x+c)^3)^2,x,2,-1/3/b/d/(a+b*(d*x+c)^3),1],
[(d*x+c)/(a+b*(d*x+c)^3)^2,x,8,1/3*(d*x+c)^2/a/d/(a+b*(d*x+c)^3)-1/3*arctan((a^(1/3)-2*b^(1/3)*(d*x+c))/sqrt(3)/a^(1/3))/sqrt(3)/a^(4/3)/b^(2/3)/d-1/9*ln(a^(1/3)+b^(1/3)*(d*x+c))/a^(4/3)/b^(2/3)/d+1/18*ln(a^(2/3)-a^(1/3)*b^(1/3)*(d*x+c)+b^(2/3)*(d*x+c)^2)/a^(4/3)/b^(2/3)/d,1],
[1/(a+b*(d*x+c)^3)^2,x,8,1/3*(d*x+c)/a/d/(a+b*(d*x+c)^3)-2/3*arctan((a^(1/3)-2*b^(1/3)*(d*x+c))/sqrt(3)/a^(1/3))/sqrt(3)/a^(5/3)/b^(1/3)/d+2/9*ln(a^(1/3)+b^(1/3)*(d*x+c))/a^(5/3)/b^(1/3)/d-1/9*ln(a^(2/3)-a^(1/3)*b^(1/3)*(d*x+c)+b^(2/3)*(d*x+c)^2)/a^(5/3)/b^(1/3)/d,1],
[1/(d*x+c)/(a+b*(d*x+c)^3)^2,x,4,1/3/a/d/(a+b*(d*x+c)^3)+ln(d*x+c)/a^2/d-1/3*ln(a+b*(d*x+c)^3)/a^2/d,1],
[1/(d*x+c)^2/(a+b*(d*x+c)^3)^2,x,9,-1/a^2/d/(d*x+c)-1/3*b*(d*x+c)^2/a^2/d/(a+b*(d*x+c)^3)+4/3*b^(1/3)*arctan((a^(1/3)-2*b^(1/3)*(d*x+c))/sqrt(3)/a^(1/3))/sqrt(3)/a^(7/3)/d+4/9*b^(1/3)*ln(a^(1/3)+b^(1/3)*(d*x+c))/a^(7/3)/d-2/9*b^(1/3)*ln(a^(2/3)-a^(1/3)*b^(1/3)*(d*x+c)+b^(2/3)*(d*x+c)^2)/a^(7/3)/d,1],
[1/(d*x+c)^3/(a+b*(d*x+c)^3)^2,x,9,-1/2/a^2/d/(d*x+c)^2-1/3*b*(d*x+c)/a^2/d/(a+b*(d*x+c)^3)+5/3*b^(2/3)*arctan((a^(1/3)-2*b^(1/3)*(d*x+c))/sqrt(3)/a^(1/3))/sqrt(3)/a^(8/3)/d-5/9*b^(2/3)*ln(a^(1/3)+b^(1/3)*(d*x+c))/a^(8/3)/d+5/18*b^(2/3)*ln(a^(2/3)-a^(1/3)*b^(1/3)*(d*x+c)+b^(2/3)*(d*x+c)^2)/a^(8/3)/d,1],
[1/(d*x+c)^4/(a+b*(d*x+c)^3)^2,x,4,-1/3/a^2/d/(d*x+c)^3-1/3*b/a^2/d/(a+b*(d*x+c)^3)-2*b*ln(d*x+c)/a^3/d+2/3*b*ln(a+b*(d*x+c)^3)/a^3/d,1],
[(d*x+c)^4/(a+b*(d*x+c)^3)^3,x,9,-1/6*(d*x+c)^2/b/d/(a+b*(d*x+c)^3)^2+1/9*(d*x+c)^2/a/b/d/(a+b*(d*x+c)^3)-1/9*arctan((a^(1/3)-2*b^(1/3)*(d*x+c))/sqrt(3)/a^(1/3))/sqrt(3)/a^(4/3)/b^(5/3)/d-1/27*ln(a^(1/3)+b^(1/3)*(d*x+c))/a^(4/3)/b^(5/3)/d+1/54*ln(a^(2/3)-a^(1/3)*b^(1/3)*(d*x+c)+b^(2/3)*(d*x+c)^2)/a^(4/3)/b^(5/3)/d,1],
[(d*x+c)^3/(a+b*(d*x+c)^3)^3,x,9,-1/6*(d*x+c)/b/d/(a+b*(d*x+c)^3)^2+1/18*(d*x+c)/a/b/d/(a+b*(d*x+c)^3)-1/9*arctan((a^(1/3)-2*b^(1/3)*(d*x+c))/sqrt(3)/a^(1/3))/sqrt(3)/a^(5/3)/b^(4/3)/d+1/27*ln(a^(1/3)+b^(1/3)*(d*x+c))/a^(5/3)/b^(4/3)/d-1/54*ln(a^(2/3)-a^(1/3)*b^(1/3)*(d*x+c)+b^(2/3)*(d*x+c)^2)/a^(5/3)/b^(4/3)/d,1],
[(d*x+c)^2/(a+b*(d*x+c)^3)^3,x,2,-1/6/b/d/(a+b*(d*x+c)^3)^2,1],
[(d*x+c)/(a+b*(d*x+c)^3)^3,x,9,1/6*(d*x+c)^2/a/d/(a+b*(d*x+c)^3)^2+2/9*(d*x+c)^2/a^2/d/(a+b*(d*x+c)^3)-2/9*arctan((a^(1/3)-2*b^(1/3)*(d*x+c))/sqrt(3)/a^(1/3))/sqrt(3)/a^(7/3)/b^(2/3)/d-2/27*ln(a^(1/3)+b^(1/3)*(d*x+c))/a^(7/3)/b^(2/3)/d+1/27*ln(a^(2/3)-a^(1/3)*b^(1/3)*(d*x+c)+b^(2/3)*(d*x+c)^2)/a^(7/3)/b^(2/3)/d,1],
[1/(a+b*(d*x+c)^3)^3,x,9,1/6*(d*x+c)/a/d/(a+b*(d*x+c)^3)^2+5/18*(d*x+c)/a^2/d/(a+b*(d*x+c)^3)-5/9*arctan((a^(1/3)-2*b^(1/3)*(d*x+c))/sqrt(3)/a^(1/3))/sqrt(3)/a^(8/3)/b^(1/3)/d+5/27*ln(a^(1/3)+b^(1/3)*(d*x+c))/a^(8/3)/b^(1/3)/d-5/54*ln(a^(2/3)-a^(1/3)*b^(1/3)*(d*x+c)+b^(2/3)*(d*x+c)^2)/a^(8/3)/b^(1/3)/d,1],
[1/(d*x+c)/(a+b*(d*x+c)^3)^3,x,4,1/6/a/d/(a+b*(d*x+c)^3)^2+1/3/a^2/d/(a+b*(d*x+c)^3)+ln(d*x+c)/a^3/d-1/3*ln(a+b*(d*x+c)^3)/a^3/d,1],
[1/(d*x+c)^2/(a+b*(d*x+c)^3)^3,x,10,-1/a^3/d/(d*x+c)-1/6*b*(d*x+c)^2/a^2/d/(a+b*(d*x+c)^3)^2-5/9*b*(d*x+c)^2/a^3/d/(a+b*(d*x+c)^3)+14/9*b^(1/3)*arctan((a^(1/3)-2*b^(1/3)*(d*x+c))/sqrt(3)/a^(1/3))/sqrt(3)/a^(10/3)/d+14/27*b^(1/3)*ln(a^(1/3)+b^(1/3)*(d*x+c))/a^(10/3)/d-7/27*b^(1/3)*ln(a^(2/3)-a^(1/3)*b^(1/3)*(d*x+c)+b^(2/3)*(d*x+c)^2)/a^(10/3)/d,1],
[1/(d*x+c)^3/(a+b*(d*x+c)^3)^3,x,10,-1/2/a^3/d/(d*x+c)^2-1/6*b*(d*x+c)/a^2/d/(a+b*(d*x+c)^3)^2-11/18*b*(d*x+c)/a^3/d/(a+b*(d*x+c)^3)+20/9*b^(2/3)*arctan((a^(1/3)-2*b^(1/3)*(d*x+c))/sqrt(3)/a^(1/3))/sqrt(3)/a^(11/3)/d-20/27*b^(2/3)*ln(a^(1/3)+b^(1/3)*(d*x+c))/a^(11/3)/d+10/27*b^(2/3)*ln(a^(2/3)-a^(1/3)*b^(1/3)*(d*x+c)+b^(2/3)*(d*x+c)^2)/a^(11/3)/d,1],
[1/(d*x+c)^4/(a+b*(d*x+c)^3)^3,x,4,-1/3/a^3/d/(d*x+c)^3-1/6*b/a^2/d/(a+b*(d*x+c)^3)^2-2/3*b/a^3/d/(a+b*(d*x+c)^3)-3*b*ln(d*x+c)/a^4/d+b*ln(a+b*(d*x+c)^3)/a^4/d,1],
[(d*e*x+c*e)^4/(a+b*(d*x+c)^3),x,9,1/2*e^4*(d*x+c)^2/b/d+a^(2/3)*e^4*arctan((a^(1/3)-2*b^(1/3)*(d*x+c))/sqrt(3)/a^(1/3))/sqrt(3)/b^(5/3)/d+1/3*a^(2/3)*e^4*ln(a^(1/3)+b^(1/3)*(d*x+c))/b^(5/3)/d-1/6*a^(2/3)*e^4*ln(a^(2/3)-a^(1/3)*b^(1/3)*(d*x+c)+b^(2/3)*(d*x+c)^2)/b^(5/3)/d,1],
[(d*e*x+c*e)^3/(a+b*(d*x+c)^3),x,9,e^3*x/b+a^(1/3)*e^3*arctan((a^(1/3)-2*b^(1/3)*(d*x+c))/sqrt(3)/a^(1/3))/sqrt(3)/b^(4/3)/d-1/3*a^(1/3)*e^3*ln(a^(1/3)+b^(1/3)*(d*x+c))/b^(4/3)/d+1/6*a^(1/3)*e^3*ln(a^(2/3)-a^(1/3)*b^(1/3)*(d*x+c)+b^(2/3)*(d*x+c)^2)/b^(4/3)/d,1],
[(d*e*x+c*e)^2/(a+b*(d*x+c)^3),x,3,1/3*e^2*ln(a+b*(d*x+c)^3)/b/d,1],
[(d*e*x+c*e)/(a+b*(d*x+c)^3),x,8,-e*arctan((a^(1/3)-2*b^(1/3)*(d*x+c))/sqrt(3)/a^(1/3))/sqrt(3)/a^(1/3)/b^(2/3)/d-1/3*e*ln(a^(1/3)+b^(1/3)*(d*x+c))/a^(1/3)/b^(2/3)/d+1/6*e*ln(a^(2/3)-a^(1/3)*b^(1/3)*(d*x+c)+b^(2/3)*(d*x+c)^2)/a^(1/3)/b^(2/3)/d,1],
[1/(d*e*x+c*e)/(a+b*(d*x+c)^3),x,5,ln(d*x+c)/a/d/e-1/3*ln(a+b*(d*x+c)^3)/a/d/e,1],
[1/(d*e*x+c*e)^2/(a+b*(d*x+c)^3),x,9,-1/a/d/e^2/(d*x+c)+b^(1/3)*arctan((a^(1/3)-2*b^(1/3)*(d*x+c))/sqrt(3)/a^(1/3))/sqrt(3)/a^(4/3)/d/e^2+1/3*b^(1/3)*ln(a^(1/3)+b^(1/3)*(d*x+c))/a^(4/3)/d/e^2-1/6*b^(1/3)*ln(a^(2/3)-a^(1/3)*b^(1/3)*(d*x+c)+b^(2/3)*(d*x+c)^2)/a^(4/3)/d/e^2,1],
[1/(d*e*x+c*e)^3/(a+b*(d*x+c)^3),x,9,-1/2/a/d/e^3/(d*x+c)^2+b^(2/3)*arctan((a^(1/3)-2*b^(1/3)*(d*x+c))/sqrt(3)/a^(1/3))/sqrt(3)/a^(5/3)/d/e^3-1/3*b^(2/3)*ln(a^(1/3)+b^(1/3)*(d*x+c))/a^(5/3)/d/e^3+1/6*b^(2/3)*ln(a^(2/3)-a^(1/3)*b^(1/3)*(d*x+c)+b^(2/3)*(d*x+c)^2)/a^(5/3)/d/e^3,1],
[1/(d*e*x+c*e)^4/(a+b*(d*x+c)^3),x,5,-1/3/a/d/e^4/(d*x+c)^3-b*ln(d*x+c)/a^2/d/e^4+1/3*b*ln(a+b*(d*x+c)^3)/a^2/d/e^4,1],
[(d*e*x+c*e)^4/(a+b*(d*x+c)^3)^2,x,9,-1/3*e^4*(d*x+c)^2/b/d/(a+b*(d*x+c)^3)-2/3*e^4*arctan((a^(1/3)-2*b^(1/3)*(d*x+c))/sqrt(3)/a^(1/3))/sqrt(3)/a^(1/3)/b^(5/3)/d-2/9*e^4*ln(a^(1/3)+b^(1/3)*(d*x+c))/a^(1/3)/b^(5/3)/d+1/9*e^4*ln(a^(2/3)-a^(1/3)*b^(1/3)*(d*x+c)+b^(2/3)*(d*x+c)^2)/a^(1/3)/b^(5/3)/d,1],
[(d*e*x+c*e)^3/(a+b*(d*x+c)^3)^2,x,9,-1/3*e^3*(d*x+c)/b/d/(a+b*(d*x+c)^3)-1/3*e^3*arctan((a^(1/3)-2*b^(1/3)*(d*x+c))/sqrt(3)/a^(1/3))/sqrt(3)/a^(2/3)/b^(4/3)/d+1/9*e^3*ln(a^(1/3)+b^(1/3)*(d*x+c))/a^(2/3)/b^(4/3)/d-1/18*e^3*ln(a^(2/3)-a^(1/3)*b^(1/3)*(d*x+c)+b^(2/3)*(d*x+c)^2)/a^(2/3)/b^(4/3)/d,1],
[(d*e*x+c*e)^2/(a+b*(d*x+c)^3)^2,x,3,-1/3*e^2/b/d/(a+b*(d*x+c)^3),1],
[(d*e*x+c*e)/(a+b*(d*x+c)^3)^2,x,9,1/3*e*(d*x+c)^2/a/d/(a+b*(d*x+c)^3)-1/3*e*arctan((a^(1/3)-2*b^(1/3)*(d*x+c))/sqrt(3)/a^(1/3))/sqrt(3)/a^(4/3)/b^(2/3)/d-1/9*e*ln(a^(1/3)+b^(1/3)*(d*x+c))/a^(4/3)/b^(2/3)/d+1/18*e*ln(a^(2/3)-a^(1/3)*b^(1/3)*(d*x+c)+b^(2/3)*(d*x+c)^2)/a^(4/3)/b^(2/3)/d,1],
[1/(d*e*x+c*e)/(a+b*(d*x+c)^3)^2,x,5,1/3/a/d/e/(a+b*(d*x+c)^3)+ln(d*x+c)/a^2/d/e-1/3*ln(a+b*(d*x+c)^3)/a^2/d/e,1],
[1/(d*e*x+c*e)^2/(a+b*(d*x+c)^3)^2,x,10,-1/a^2/d/e^2/(d*x+c)-1/3*b*(d*x+c)^2/a^2/d/e^2/(a+b*(d*x+c)^3)+4/3*b^(1/3)*arctan((a^(1/3)-2*b^(1/3)*(d*x+c))/sqrt(3)/a^(1/3))/sqrt(3)/a^(7/3)/d/e^2+4/9*b^(1/3)*ln(a^(1/3)+b^(1/3)*(d*x+c))/a^(7/3)/d/e^2-2/9*b^(1/3)*ln(a^(2/3)-a^(1/3)*b^(1/3)*(d*x+c)+b^(2/3)*(d*x+c)^2)/a^(7/3)/d/e^2,1],
[1/(d*e*x+c*e)^3/(a+b*(d*x+c)^3)^2,x,10,-1/2/a^2/d/e^3/(d*x+c)^2-1/3*b*(d*x+c)/a^2/d/e^3/(a+b*(d*x+c)^3)+5/3*b^(2/3)*arctan((a^(1/3)-2*b^(1/3)*(d*x+c))/sqrt(3)/a^(1/3))/sqrt(3)/a^(8/3)/d/e^3-5/9*b^(2/3)*ln(a^(1/3)+b^(1/3)*(d*x+c))/a^(8/3)/d/e^3+5/18*b^(2/3)*ln(a^(2/3)-a^(1/3)*b^(1/3)*(d*x+c)+b^(2/3)*(d*x+c)^2)/a^(8/3)/d/e^3,1],
[1/(d*e*x+c*e)^4/(a+b*(d*x+c)^3)^2,x,5,-1/3/a^2/d/e^4/(d*x+c)^3-1/3*b/a^2/d/e^4/(a+b*(d*x+c)^3)-2*b*ln(d*x+c)/a^3/d/e^4+2/3*b*ln(a+b*(d*x+c)^3)/a^3/d/e^4,1],
[(d*e*x+c*e)^4/(a+b*(d*x+c)^3)^3,x,10,-1/6*e^4*(d*x+c)^2/b/d/(a+b*(d*x+c)^3)^2+1/9*e^4*(d*x+c)^2/a/b/d/(a+b*(d*x+c)^3)-1/9*e^4*arctan((a^(1/3)-2*b^(1/3)*(d*x+c))/sqrt(3)/a^(1/3))/sqrt(3)/a^(4/3)/b^(5/3)/d-1/27*e^4*ln(a^(1/3)+b^(1/3)*(d*x+c))/a^(4/3)/b^(5/3)/d+1/54*e^4*ln(a^(2/3)-a^(1/3)*b^(1/3)*(d*x+c)+b^(2/3)*(d*x+c)^2)/a^(4/3)/b^(5/3)/d,1],
[(d*e*x+c*e)^3/(a+b*(d*x+c)^3)^3,x,10,-1/6*e^3*(d*x+c)/b/d/(a+b*(d*x+c)^3)^2+1/18*e^3*(d*x+c)/a/b/d/(a+b*(d*x+c)^3)-1/9*e^3*arctan((a^(1/3)-2*b^(1/3)*(d*x+c))/sqrt(3)/a^(1/3))/sqrt(3)/a^(5/3)/b^(4/3)/d+1/27*e^3*ln(a^(1/3)+b^(1/3)*(d*x+c))/a^(5/3)/b^(4/3)/d-1/54*e^3*ln(a^(2/3)-a^(1/3)*b^(1/3)*(d*x+c)+b^(2/3)*(d*x+c)^2)/a^(5/3)/b^(4/3)/d,1],
[(d*e*x+c*e)^2/(a+b*(d*x+c)^3)^3,x,3,-1/6*e^2/b/d/(a+b*(d*x+c)^3)^2,1],
[(d*e*x+c*e)/(a+b*(d*x+c)^3)^3,x,10,1/6*e*(d*x+c)^2/a/d/(a+b*(d*x+c)^3)^2+2/9*e*(d*x+c)^2/a^2/d/(a+b*(d*x+c)^3)-2/9*e*arctan((a^(1/3)-2*b^(1/3)*(d*x+c))/sqrt(3)/a^(1/3))/sqrt(3)/a^(7/3)/b^(2/3)/d-2/27*e*ln(a^(1/3)+b^(1/3)*(d*x+c))/a^(7/3)/b^(2/3)/d+1/27*e*ln(a^(2/3)-a^(1/3)*b^(1/3)*(d*x+c)+b^(2/3)*(d*x+c)^2)/a^(7/3)/b^(2/3)/d,1],
[1/(d*e*x+c*e)/(a+b*(d*x+c)^3)^3,x,5,1/6/a/d/e/(a+b*(d*x+c)^3)^2+1/3/a^2/d/e/(a+b*(d*x+c)^3)+ln(d*x+c)/a^3/d/e-1/3*ln(a+b*(d*x+c)^3)/a^3/d/e,1],
[1/(d*e*x+c*e)^2/(a+b*(d*x+c)^3)^3,x,11,-1/a^3/d/e^2/(d*x+c)-1/6*b*(d*x+c)^2/a^2/d/e^2/(a+b*(d*x+c)^3)^2-5/9*b*(d*x+c)^2/a^3/d/e^2/(a+b*(d*x+c)^3)+14/9*b^(1/3)*arctan((a^(1/3)-2*b^(1/3)*(d*x+c))/sqrt(3)/a^(1/3))/sqrt(3)/a^(10/3)/d/e^2+14/27*b^(1/3)*ln(a^(1/3)+b^(1/3)*(d*x+c))/a^(10/3)/d/e^2-7/27*b^(1/3)*ln(a^(2/3)-a^(1/3)*b^(1/3)*(d*x+c)+b^(2/3)*(d*x+c)^2)/a^(10/3)/d/e^2,1],
[1/(d*e*x+c*e)^3/(a+b*(d*x+c)^3)^3,x,11,-1/2/a^3/d/e^3/(d*x+c)^2-1/6*b*(d*x+c)/a^2/d/e^3/(a+b*(d*x+c)^3)^2-11/18*b*(d*x+c)/a^3/d/e^3/(a+b*(d*x+c)^3)+20/9*b^(2/3)*arctan((a^(1/3)-2*b^(1/3)*(d*x+c))/sqrt(3)/a^(1/3))/sqrt(3)/a^(11/3)/d/e^3-20/27*b^(2/3)*ln(a^(1/3)+b^(1/3)*(d*x+c))/a^(11/3)/d/e^3+10/27*b^(2/3)*ln(a^(2/3)-a^(1/3)*b^(1/3)*(d*x+c)+b^(2/3)*(d*x+c)^2)/a^(11/3)/d/e^3,1],
[1/(d*e*x+c*e)^4/(a+b*(d*x+c)^3)^3,x,5,-1/3/a^3/d/e^4/(d*x+c)^3-1/6*b/a^2/d/e^4/(a+b*(d*x+c)^3)^2-2/3*b/a^3/d/e^4/(a+b*(d*x+c)^3)-3*b*ln(d*x+c)/a^4/d/e^4+b*ln(a+b*(d*x+c)^3)/a^4/d/e^4,1],
[(d*x+c)^3*(a+b*(d*x+c)^4)^p,x,2,1/4*(a+b*(d*x+c)^4)^(p+1)/b/d/(p+1),1],
[(d*x+c)^3*(a+b*(d*x+c)^4),x,2,1/8*(a+b*(d*x+c)^4)^2/b/d,1],
[(d*x+c)^3*(a+b*(d*x+c)^4)^2,x,2,1/12*(a+b*(d*x+c)^4)^3/b/d,1],
[(d*x+c)^3*(a+b*(d*x+c)^4)^3,x,2,1/16*(a+b*(d*x+c)^4)^4/b/d,1],
[(d*x+c)^3/(a+b*(d*x+c)^4),x,2,1/4*ln(a+b*(d*x+c)^4)/b/d,1],
[(d*x+c)^3/(a+b*(d*x+c)^4)^2,x,2,-1/4/b/d/(a+b*(d*x+c)^4),1],
[(d*x+c)^3/(a+b*(d*x+c)^4)^3,x,2,-1/8/b/d/(a+b*(d*x+c)^4)^2,1],
[x^3/(a+b*(d*x+c)^3),x,11,x/b/d^3+(a-3*a^(1/3)*b^(2/3)*c^2+b*c^3)*arctan((a^(1/3)-2*b^(1/3)*(d*x+c))/sqrt(3)/a^(1/3))/sqrt(3)/a^(2/3)/b^(4/3)/d^4-1/3*(a+3*a^(1/3)*b^(2/3)*c^2+b*c^3)*ln(a^(1/3)+b^(1/3)*(d*x+c))/a^(2/3)/b^(4/3)/d^4+1/6*(a+3*a^(1/3)*b^(2/3)*c^2+b*c^3)*ln(a^(2/3)-a^(1/3)*b^(1/3)*(d*x+c)+b^(2/3)*(d*x+c)^2)/a^(2/3)/b^(4/3)/d^4-c*ln(a+b*(d*x+c)^3)/b/d^4,1],
[x^2/(a+b*(d*x+c)^3),x,9,c*(2*a^(1/3)-b^(1/3)*c)*arctan((a^(1/3)-2*b^(1/3)*(d*x+c))/sqrt(3)/a^(1/3))/sqrt(3)/a^(2/3)/b^(2/3)/d^3+1/3*c*(2*a^(1/3)+b^(1/3)*c)*ln(a^(1/3)+b^(1/3)*(d*x+c))/a^(2/3)/b^(2/3)/d^3-1/6*c*(2*a^(1/3)+b^(1/3)*c)*ln(a^(2/3)-a^(1/3)*b^(1/3)*(d*x+c)+b^(2/3)*(d*x+c)^2)/a^(2/3)/b^(2/3)/d^3+1/3*ln(a+b*(d*x+c)^3)/b/d^3,1],
[x/(a+b*(d*x+c)^3),x,7,-(a^(1/3)-b^(1/3)*c)*arctan((a^(1/3)-2*b^(1/3)*(d*x+c))/sqrt(3)/a^(1/3))/sqrt(3)/a^(2/3)/b^(2/3)/d^2-1/3*(a^(1/3)+b^(1/3)*c)*ln(a^(1/3)+b^(1/3)*(d*x+c))/a^(2/3)/b^(2/3)/d^2+1/6*(a^(1/3)+b^(1/3)*c)*ln(a^(2/3)-a^(1/3)*b^(1/3)*(d*x+c)+b^(2/3)*(d*x+c)^2)/a^(2/3)/b^(2/3)/d^2,1],
[1/(a+b*(d*x+c)^3),x,7,-arctan((a^(1/3)-2*b^(1/3)*(d*x+c))/sqrt(3)/a^(1/3))/sqrt(3)/a^(2/3)/b^(1/3)/d+1/3*ln(a^(1/3)+b^(1/3)*(d*x+c))/a^(2/3)/b^(1/3)/d-1/6*ln(a^(2/3)-a^(1/3)*b^(1/3)*(d*x+c)+b^(2/3)*(d*x+c)^2)/a^(2/3)/b^(1/3)/d,1],
[1/x/(a+b*(d*x+c)^3),x,11,b^(1/3)*c*arctan((a^(1/3)-2*b^(1/3)*(d*x+c))/sqrt(3)/a^(1/3))/sqrt(3)/a^(2/3)/(a^(2/3)-a^(1/3)*b^(1/3)*c+b^(2/3)*c^2)+ln(x)/(b*c^3+a)-1/3*ln(a^(1/3)+b^(1/3)*(d*x+c))/a^(2/3)/(a^(1/3)+b^(1/3)*c)-1/6*(2*a^(1/3)-b^(1/3)*c)*ln(a^(2/3)-a^(1/3)*b^(1/3)*(d*x+c)+b^(2/3)*(d*x+c)^2)/a^(2/3)/(a^(2/3)-a^(1/3)*b^(1/3)*c+b^(2/3)*c^2),1],
[1/x^2/(a+b*(d*x+c)^3),x,11,-1/(b*c^3+a)/x+b^(1/3)*(a^(1/3)-b^(1/3)*c)*(a^(1/3)+b^(1/3)*c)^3*d*arctan((a^(1/3)-2*b^(1/3)*(d*x+c))/sqrt(3)/a^(1/3))/sqrt(3)/a^(2/3)/(b*c^3+a)^2-3*b*c^2*d*ln(x)/(b*c^3+a)^2+1/3*b^(1/3)*(a^(1/3)*(-2*b*c^3+a)-b^(1/3)*c*(-b*c^3+2*a))*d*ln(a^(1/3)+b^(1/3)*(d*x+c))/a^(2/3)/(b*c^3+a)^2+1/6*b^(2/3)*(2*a*c-b*c^4-a^(1/3)*(-2*b*c^3+a)/b^(1/3))*d*ln(a^(2/3)-a^(1/3)*b^(1/3)*(d*x+c)+b^(2/3)*(d*x+c)^2)/a^(2/3)/(b*c^3+a)^2+b*c^2*d*ln(a+b*(d*x+c)^3)/(b*c^3+a)^2,1],
[1/x^3/(a+b*(d*x+c)^3),x,11,-1/2/(b*c^3+a)/x^2+3*b*c^2*d/(b*c^3+a)^2/x+b^(2/3)*(a^(1/3)+b^(1/3)*c)^3*(a-3*a^(2/3)*b^(1/3)*c+b*c^3)*d^2*arctan((a^(1/3)-2*b^(1/3)*(d*x+c))/sqrt(3)/a^(1/3))/sqrt(3)/a^(2/3)/(b*c^3+a)^3-3*b*c*(-2*b*c^3+a)*d^2*ln(x)/(b*c^3+a)^3-1/3*b^(2/3)*(a^2+6*a^(4/3)*b^(2/3)*c^2-7*a*b*c^3-3*a^(1/3)*b^(5/3)*c^5+b^2*c^6)*d^2*ln(a^(1/3)+b^(1/3)*(d*x+c))/a^(2/3)/(b*c^3+a)^3+1/6*b^(2/3)*(a^2-7*a*b*c^3+b^2*c^6+3*a^(1/3)*b^(2/3)*c^2*(-b*c^3+2*a))*d^2*ln(a^(2/3)-a^(1/3)*b^(1/3)*(d*x+c)+b^(2/3)*(d*x+c)^2)/a^(2/3)/(b*c^3+a)^3+b*c*(-2*b*c^3+a)*d^2*ln(a+b*(d*x+c)^3)/(b*c^3+a)^3,1],
[x^3/sqrt(a+b*(d*x+c)^4),x,10,1/2*sqrt(a+b*(d*x+c)^4)/b/d^4-3*c*(d*x+c)*sqrt(a+b*(d*x+c)^4)/sqrt(b)/d^4/(sqrt(a)+sqrt(b)*(d*x+c)^2)+3/2*c^2*arctanh(sqrt(b)*(d*x+c)^2/sqrt(a+b*(d*x+c)^4))/sqrt(b)/d^4+3*a^(1/4)*c*(sqrt(a)+sqrt(b)*(d*x+c)^2)*sqrt((a+b*(d*x+c)^4)/(sqrt(a)+sqrt(b)*(d*x+c)^2)^2)*EllipticE(sin(2*arctan(b^(1/4)*(d*x+c)/a^(1/4))),sqrt(1/2))/b^(3/4)/d^4/sqrt(a+b*(d*x+c)^4)-1/2*c*(3*sqrt(a)+sqrt(b)*c^2)*(sqrt(a)+sqrt(b)*(d*x+c)^2)*sqrt((a+b*(d*x+c)^4)/(sqrt(a)+sqrt(b)*(d*x+c)^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*(d*x+c)/a^(1/4)),sqrt(1/2))/a^(1/4)/b^(3/4)/d^4/sqrt(a+b*(d*x+c)^4),1],
[x^2/sqrt(a+b*(d*x+c)^4),x,9,(d*x+c)*sqrt(a+b*(d*x+c)^4)/sqrt(b)/d^3/(sqrt(a)+sqrt(b)*(d*x+c)^2)-c*arctanh(sqrt(b)*(d*x+c)^2/sqrt(a+b*(d*x+c)^4))/sqrt(b)/d^3-a^(1/4)*(sqrt(a)+sqrt(b)*(d*x+c)^2)*sqrt((a+b*(d*x+c)^4)/(sqrt(a)+sqrt(b)*(d*x+c)^2)^2)*EllipticE(sin(2*arctan(b^(1/4)*(d*x+c)/a^(1/4))),sqrt(1/2))/b^(3/4)/d^3/sqrt(a+b*(d*x+c)^4)+1/2*(sqrt(a)+sqrt(b)*c^2)*(sqrt(a)+sqrt(b)*(d*x+c)^2)*sqrt((a+b*(d*x+c)^4)/(sqrt(a)+sqrt(b)*(d*x+c)^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*(d*x+c)/a^(1/4)),sqrt(1/2))/a^(1/4)/b^(3/4)/d^3/sqrt(a+b*(d*x+c)^4),1],
[x/sqrt(a+b*(d*x+c)^4),x,7,1/2*arctanh(sqrt(b)*(d*x+c)^2/sqrt(a+b*(d*x+c)^4))/sqrt(b)/d^2-1/2*c*(sqrt(a)+sqrt(b)*(d*x+c)^2)*sqrt((a+b*(d*x+c)^4)/(sqrt(a)+sqrt(b)*(d*x+c)^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*(d*x+c)/a^(1/4)),sqrt(1/2))/a^(1/4)/b^(1/4)/d^2/sqrt(a+b*(d*x+c)^4),1],
[1/sqrt(a+b*(d*x+c)^4),x,2,1/2*(sqrt(a)+sqrt(b)*(d*x+c)^2)*sqrt((a+b*(d*x+c)^4)/(sqrt(a)+sqrt(b)*(d*x+c)^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*(d*x+c)/a^(1/4)),sqrt(1/2))/a^(1/4)/b^(1/4)/d/sqrt(a+b*(d*x+c)^4),1],
[1/x/sqrt(a+b*(d*x+c)^4),x,9,-1/2*arctanh(sqrt(b*c^4+a)*(d*x+c)/c/sqrt(a+b*(d*x+c)^4))/sqrt(b*c^4+a)-1/2*arctanh((a+b*c^2*(d*x+c)^2)/sqrt(b*c^4+a)/sqrt(a+b*(d*x+c)^4))/sqrt(b*c^4+a)-1/2*b^(1/4)*c*(sqrt(a)+sqrt(b)*(d*x+c)^2)*sqrt((a+b*(d*x+c)^4)/(sqrt(a)+sqrt(b)*(d*x+c)^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*(d*x+c)/a^(1/4)),sqrt(1/2))/a^(1/4)/(sqrt(a)+sqrt(b)*c^2)/sqrt(a+b*(d*x+c)^4)-1/4*(sqrt(a)-sqrt(b)*c^2)*(sqrt(a)+sqrt(b)*(d*x+c)^2)*sqrt((a+b*(d*x+c)^4)/(sqrt(a)+sqrt(b)*(d*x+c)^2)^2)*EllipticPi(sin(2*arctan(b^(1/4)*(d*x+c)/a^(1/4))),1/4*(sqrt(a)+sqrt(b)*c^2)^2/sqrt(a)/sqrt(b)/c^2,sqrt(1/2))/a^(1/4)/b^(1/4)/c/(sqrt(a)+sqrt(b)*c^2)/sqrt(a+b*(d*x+c)^4),1],
[1/x^2/sqrt(a+b*(d*x+c)^4),x,14,-sqrt(a+b*(d*x+c)^4)/(b*c^4+a)/x+sqrt(b)*d*(d*x+c)*sqrt(a+b*(d*x+c)^4)/(b*c^4+a)/(sqrt(a)+sqrt(b)*(d*x+c)^2)+b*c^3*d*arctanh(sqrt(b*c^4+a)*(d*x+c)/c/sqrt(a+b*(d*x+c)^4))/(b*c^4+a)^(3/2)+b*c^3*d*arctanh((a+b*c^2*(d*x+c)^2)/sqrt(b*c^4+a)/sqrt(a+b*(d*x+c)^4))/(b*c^4+a)^(3/2)-a^(1/4)*b^(1/4)*d*(sqrt(a)+sqrt(b)*(d*x+c)^2)*sqrt((a+b*(d*x+c)^4)/(sqrt(a)+sqrt(b)*(d*x+c)^2)^2)*EllipticE(sin(2*arctan(b^(1/4)*(d*x+c)/a^(1/4))),sqrt(1/2))/(b*c^4+a)/sqrt(a+b*(d*x+c)^4)+1/2*b^(1/4)*d*(sqrt(a)+sqrt(b)*(d*x+c)^2)*sqrt((a+b*(d*x+c)^4)/(sqrt(a)+sqrt(b)*(d*x+c)^2)^2)*InverseJacobiAM(2*arctan(b^(1/4)*(d*x+c)/a^(1/4)),sqrt(1/2))/a^(1/4)/(sqrt(a)+sqrt(b)*c^2)/sqrt(a+b*(d*x+c)^4)+1/2*b^(3/4)*c^2*(sqrt(a)-sqrt(b)*c^2)*d*(sqrt(a)+sqrt(b)*(d*x+c)^2)*sqrt((a+b*(d*x+c)^4)/(sqrt(a)+sqrt(b)*(d*x+c)^2)^2)*EllipticPi(sin(2*arctan(b^(1/4)*(d*x+c)/a^(1/4))),1/4*(sqrt(a)+sqrt(b)*c^2)^2/sqrt(a)/sqrt(b)/c^2,sqrt(1/2))/a^(1/4)/(sqrt(a)+sqrt(b)*c^2)/(b*c^4+a)/sqrt(a+b*(d*x+c)^4),1],
[sqrt(e*(d*x+c))/sqrt(a+b*(d*x+c)^3),x,6,2/3*sqrt(e)*arctanh(sqrt(b)*(e*(d*x+c))^(3/2)/e^(3/2)/sqrt(a+b*(d*x+c)^3))/sqrt(b)/d,1],
[sqrt(d*e*x+c*e)/sqrt(a+b*(d*x+c)^3),x,6,2/3*sqrt(e)*arctanh(sqrt(b)*(e*(d*x+c))^(3/2)/e^(3/2)/sqrt(a+b*(d*x+c)^3))/sqrt(b)/d,1],
[sqrt(e*(d*x+c))/sqrt(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a),x,5,2/3*sqrt(e)*arctanh(sqrt(b)*(e*(d*x+c))^(3/2)/e^(3/2)/sqrt(a+b*(d*x+c)^3))/sqrt(b)/d,1],
[sqrt(d*e*x+c*e)/sqrt(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a),x,5,2/3*sqrt(e)*arctanh(sqrt(b)*(d*e*x+c*e)^(3/2)/e^(3/2)/sqrt(a+b*(d*x+c)^3))/sqrt(b)/d,1]]: