lst:=[[(e*x^3+d)/(c*x^6+a),x,12,1/3*d*arctan(c^(1/6)*x/a^(1/6))/a^(5/6)/c^(1/6)-1/6*(sqrt(c)*d+sqrt(3)*sqrt(a)*e)*arctan(sqrt(3)-2*c^(1/6)*x/a^(1/6))/a^(5/6)/c^(2/3)+1/6*(sqrt(c)*d-sqrt(3)*sqrt(a)*e)*arctan(sqrt(3)+2*c^(1/6)*x/a^(1/6))/a^(5/6)/c^(2/3)-1/6*e*ln(a^(1/3)+c^(1/3)*x^2)/a^(1/3)/c^(2/3)-1/12*(sqrt(3)*sqrt(c)*d-sqrt(a)*e)*ln(a^(1/3)-sqrt(3)*a^(1/6)*c^(1/6)*x+c^(1/3)*x^2)/a^(5/6)/c^(2/3)+1/12*(sqrt(3)*sqrt(c)*d+sqrt(a)*e)*ln(a^(1/3)+sqrt(3)*a^(1/6)*c^(1/6)*x+c^(1/3)*x^2)/a^(5/6)/c^(2/3),1],
[(e*x^3+d)/(-c*x^6+a),x,13,-1/2*(d-sqrt(a)*e/sqrt(c))*arctan((a^(1/6)-2*c^(1/6)*x)/sqrt(3)/a^(1/6))/sqrt(3)/a^(5/6)/c^(1/6)+1/2*(sqrt(c)*d+sqrt(a)*e)*arctan((a^(1/6)+2*c^(1/6)*x)/sqrt(3)/a^(1/6))/sqrt(3)/a^(5/6)/c^(2/3)-1/6*(sqrt(c)*d+sqrt(a)*e)*ln(a^(1/6)-c^(1/6)*x)/a^(5/6)/c^(2/3)+1/6*(d-sqrt(a)*e/sqrt(c))*ln(a^(1/6)+c^(1/6)*x)/a^(5/6)/c^(1/6)-1/12*(d-sqrt(a)*e/sqrt(c))*ln(a^(1/3)-a^(1/6)*c^(1/6)*x+c^(1/3)*x^2)/a^(5/6)/c^(1/6)+1/12*(sqrt(c)*d+sqrt(a)*e)*ln(a^(1/3)+a^(1/6)*c^(1/6)*x+c^(1/3)*x^2)/a^(5/6)/c^(2/3),1],
[(e*x^3+d)^(3/2)/(c*x^6+a),x,7,1/2*d*x*sqrt(e*x^3+d)*AppellF1(1/3,-3/2,1,4/3,-e*x^3/d,-sqrt(c)*x^3/sqrt(-a))/a/sqrt(1+e*x^3/d)+1/2*d*x*sqrt(e*x^3+d)*AppellF1(1/3,-3/2,1,4/3,-e*x^3/d,sqrt(c)*x^3/sqrt(-a))/a/sqrt(1+e*x^3/d),1],
[sqrt(e*x^3+d)/(c*x^6+a),x,7,1/2*x*sqrt(e*x^3+d)*AppellF1(1/3,-1/2,1,4/3,-e*x^3/d,-sqrt(c)*x^3/sqrt(-a))/a/sqrt(1+e*x^3/d)+1/2*x*sqrt(e*x^3+d)*AppellF1(1/3,-1/2,1,4/3,-e*x^3/d,sqrt(c)*x^3/sqrt(-a))/a/sqrt(1+e*x^3/d),1],
[1/sqrt(e*x^3+d)/(c*x^6+a),x,7,1/2*x*sqrt(1+e*x^3/d)*AppellF1(1/3,1/2,1,4/3,-e*x^3/d,-sqrt(c)*x^3/sqrt(-a))/a/sqrt(e*x^3+d)+1/2*x*sqrt(1+e*x^3/d)*AppellF1(1/3,1/2,1,4/3,-e*x^3/d,sqrt(c)*x^3/sqrt(-a))/a/sqrt(e*x^3+d),1],
[1/(e*x^3+d)^(3/2)/(c*x^6+a),x,7,1/2*x*sqrt(1+e*x^3/d)*AppellF1(1/3,3/2,1,4/3,-e*x^3/d,-sqrt(c)*x^3/sqrt(-a))/a/d/sqrt(e*x^3+d)+1/2*x*sqrt(1+e*x^3/d)*AppellF1(1/3,3/2,1,4/3,-e*x^3/d,sqrt(c)*x^3/sqrt(-a))/a/d/sqrt(e*x^3+d),1],
[sqrt(-x^6+1)/sqrt(-x^3+1),x,3,2/5*x*sqrt(x^3+1)+2/5*3^(3/4)*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)))/sqrt((1+x)/(1+sqrt(3)+x)^2)/sqrt(x^3+1),1],
[(e*x^3+d)*(-c*x^6+a)^p,x,6,d*x*(-c*x^6+a)^p*hypergeom([1/6, -p],[7/6],c*x^6/a)/((1-c*x^6/a)^p)+1/4*e*x^4*(-c*x^6+a)^p*hypergeom([2/3, -p],[5/3],c*x^6/a)/((1-c*x^6/a)^p),1],
[(e*x^3+d)*(c*x^6+a)^p,x,6,d*x*(c*x^6+a)^p*hypergeom([1/6, -p],[7/6],-c*x^6/a)/((1+c*x^6/a)^p)+1/4*e*x^4*(c*x^6+a)^p*hypergeom([2/3, -p],[5/3],-c*x^6/a)/((1+c*x^6/a)^p),1],
[(e*x^3+d)^q*(c*x^6+a)^p,x,0,Defer(Int)((e*x^3+d)^q*(c*x^6+a)^p,x),0],
[(-x^3+1)^p*(-x^6+1)^p,x,3,x*AppellF1(1/3,-2*p,-p,4/3,x^3,-x^3),1],
[(e*x^3+d)^q*(-e^2*x^6+d^2)^p,x,5,x*(e*x^3+d)^q*(1+e*x^3/d)^(-p-q)*(-e^2*x^6+d^2)^p*AppellF1(1/3,-p,-p-q,4/3,e*x^3/d,-e*x^3/d)/((1-e*x^3/d)^p),1],
[(-x^6+1)^p/((-x^3+1)^p),x,2,x*hypergeom([1/3, -p],[4/3],-x^3),1],
[(e*x^4+d)/(-c*x^8+a),x,12,1/4*(sqrt(c)*d+sqrt(a)*e)*arctan(c^(1/8)*x/a^(1/8))/a^(7/8)/c^(5/8)-1/4*(d-sqrt(a)*e/sqrt(c))*arctan(1-sqrt(2)*c^(1/8)*x/a^(1/8))/sqrt(2)/a^(7/8)/c^(1/8)+1/4*(d-sqrt(a)*e/sqrt(c))*arctan(1+sqrt(2)*c^(1/8)*x/a^(1/8))/sqrt(2)/a^(7/8)/c^(1/8)+1/4*(sqrt(c)*d+sqrt(a)*e)*arctanh(c^(1/8)*x/a^(1/8))/a^(7/8)/c^(5/8)+1/4*(d-sqrt(a)*e/sqrt(c))*arctanh(sqrt(2)*a^(1/8)*c^(1/8)*x/(a^(1/4)+c^(1/4)*x^2))/sqrt(2)/a^(7/8)/c^(1/8),1],
[(e*x^4+d)/(c*x^8+a),x,17,-1/4*(d+sqrt(2)*d-sqrt(a)*e/sqrt(c))*arctan((sqrt(2-sqrt(2))*a^(1/8)-2*c^(1/8)*x)/sqrt(2+sqrt(2))/a^(1/8))/sqrt(4+2*sqrt(2))/a^(7/8)/c^(1/8)+1/4*((1-sqrt(2))*sqrt(c)*d-sqrt(a)*e)*arctan((sqrt(2+sqrt(2))*a^(1/8)-2*c^(1/8)*x)/sqrt(2-sqrt(2))/a^(1/8))/sqrt(4-2*sqrt(2))/a^(7/8)/c^(5/8)+1/4*(d+sqrt(2)*d-sqrt(a)*e/sqrt(c))*arctan((sqrt(2-sqrt(2))*a^(1/8)+2*c^(1/8)*x)/sqrt(2+sqrt(2))/a^(1/8))/sqrt(4+2*sqrt(2))/a^(7/8)/c^(1/8)-1/4*((1-sqrt(2))*sqrt(c)*d-sqrt(a)*e)*arctan((sqrt(2+sqrt(2))*a^(1/8)+2*c^(1/8)*x)/sqrt(2-sqrt(2))/a^(1/8))/sqrt(4-2*sqrt(2))/a^(7/8)/c^(5/8)-1/4*((1-sqrt(2))*sqrt(c)*d-sqrt(a)*e)*arctanh(sqrt(2-sqrt(2))*a^(1/8)*c^(1/8)*x/(a^(1/4)+c^(1/4)*x^2))/sqrt(4-2*sqrt(2))/a^(7/8)/c^(5/8)+1/4*(d+sqrt(2)*d-sqrt(a)*e/sqrt(c))*arctanh(sqrt(2+sqrt(2))*a^(1/8)*c^(1/8)*x/(a^(1/4)+c^(1/4)*x^2))/sqrt(4+2*sqrt(2))/a^(7/8)/c^(1/8),1],
[(e*x^4+d)/sqrt(1-e^2*x^8/d^2),x,3,d*x*hypergeom([1/8, 1/2],[9/8],e^2*x^8/d^2)+1/5*e*x^5*hypergeom([1/2, 5/8],[13/8],e^2*x^8/d^2),1],
[(e*x^4+d)/sqrt(-e^2*x^8+d^2),x,5,d*x*sqrt(1-e^2*x^8/d^2)*hypergeom([1/8, 1/2],[9/8],e^2*x^8/d^2)/sqrt(-e^2*x^8+d^2)+1/5*e*x^5*sqrt(1-e^2*x^8/d^2)*hypergeom([1/2, 5/8],[13/8],e^2*x^8/d^2)/sqrt(-e^2*x^8+d^2),1],
[(e*x^4+d)/sqrt(-c*x^8+a),x,5,d*x*sqrt(1-c*x^8/a)*hypergeom([1/8, 1/2],[9/8],c*x^8/a)/sqrt(-c*x^8+a)+1/5*e*x^5*sqrt(1-c*x^8/a)*hypergeom([1/2, 5/8],[13/8],c*x^8/a)/sqrt(-c*x^8+a),1],
[(e*x^4+d)/sqrt(c*x^8+a),x,3,1/4*sqrt(2+sqrt(2))*(sqrt(c)*d+sqrt(a)*e)*x^3*sqrt(sqrt(-sqrt(a))*(1+c^(1/4)*x^2/sqrt(-sqrt(a)))^2/c^(1/4)/x^2)*sqrt((c*x^8+a)/sqrt(a)/sqrt(c)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(-sqrt(-sqrt(a))*(sqrt(2)-2*c^(1/4)*x^2/sqrt(-sqrt(a))-sqrt(2)*sqrt(c)*x^4/sqrt(a))/c^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/sqrt(-sqrt(a))/c^(1/4)/(1+c^(1/4)*x^2/sqrt(-sqrt(a)))/sqrt(c*x^8+a)-1/4*sqrt(2+sqrt(2))*(sqrt(c)*d+sqrt(a)*e)*x^3*sqrt(-sqrt(-sqrt(a))*(1-c^(1/4)*x^2/sqrt(-sqrt(a)))^2/c^(1/4)/x^2)*sqrt((c*x^8+a)/sqrt(a)/sqrt(c)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(sqrt(-sqrt(a))*(sqrt(2)+2*c^(1/4)*x^2/sqrt(-sqrt(a))-sqrt(2)*sqrt(c)*x^4/sqrt(a))/c^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/sqrt(-sqrt(a))/c^(1/4)/(1-c^(1/4)*x^2/sqrt(-sqrt(a)))/sqrt(c*x^8+a)+1/4*sqrt(2+sqrt(2))*(sqrt(c)*d-sqrt(a)*e)*x^3*sqrt((a^(1/4)+c^(1/4)*x^2)^2/a^(1/4)/c^(1/4)/x^2)*sqrt(-(c*x^8+a)/sqrt(a)/sqrt(c)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(-a^(1/4)*(sqrt(2)-2*c^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(c)*x^4/sqrt(a))/c^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/c^(1/4)/(a^(1/4)+c^(1/4)*x^2)/sqrt(c*x^8+a)-1/4*sqrt(2+sqrt(2))*(sqrt(c)*d-sqrt(a)*e)*x^3*sqrt(-(a^(1/4)-c^(1/4)*x^2)^2/a^(1/4)/c^(1/4)/x^2)*sqrt(-(c*x^8+a)/sqrt(a)/sqrt(c)/x^4)*EllipticE(sin(arcsin(1/2*sqrt(a^(1/4)*(sqrt(2)+2*c^(1/4)*x^2/a^(1/4)+sqrt(2)*sqrt(c)*x^4/sqrt(a))/c^(1/4)/x^2))),sqrt(-2+2*sqrt(2)))/c^(1/4)/(a^(1/4)-c^(1/4)*x^2)/sqrt(c*x^8+a),1],
[(e*x^4+d)*(-c*x^8+a)^p,x,5,d*x*(-c*x^8+a)^p*hypergeom([1/8, -p],[9/8],c*x^8/a)/((1-c*x^8/a)^p)+1/5*e*x^5*(-c*x^8+a)^p*hypergeom([5/8, -p],[13/8],c*x^8/a)/((1-c*x^8/a)^p),1],
[(e*x^4+d)*(c*x^8+a)^p,x,5,d*x*(c*x^8+a)^p*hypergeom([1/8, -p],[9/8],-c*x^8/a)/((1+c*x^8/a)^p)+1/5*e*x^5*(c*x^8+a)^p*hypergeom([5/8, -p],[13/8],-c*x^8/a)/((1+c*x^8/a)^p),1],
[(e*x^4+d)^q*(c*x^8+a)^p,x,0,Defer(Int)((e*x^4+d)^q*(c*x^8+a)^p,x),0],
[(-x^4+1)^p*(-x^8+1)^p,x,3,x*AppellF1(1/4,-2*p,-p,5/4,x^4,-x^4),1],
[(e*x^4+d)^q*(-e^2*x^8+d^2)^p,x,5,x*(e*x^4+d)^q*(1+e*x^4/d)^(-p-q)*(-e^2*x^8+d^2)^p*AppellF1(1/4,-p,-p-q,5/4,e*x^4/d,-e*x^4/d)/((1-e*x^4/d)^p),1],
[(-x^8+1)^p/((-x^4+1)^p),x,2,x*hypergeom([1/4, -p],[5/4],-x^4),1],
[(d+e*x^n)^3/(a+c*x^(2*n)),x,5,3*d*e^2*x/c+e^3*x^(1+n)/c/(1+n)+d*(-3*a*e^2+c*d^2)*x*hypergeom([1, 1/2/n],[1+1/2/n],-c*x^(2*n)/a)/a/c+e*(-a*e^2+3*c*d^2)*x^(1+n)*hypergeom([1, 1/2*(1+n)/n],[3/2+1/2/n],-c*x^(2*n)/a)/a/c/(1+n),1],
[(d+e*x^n)^2/(a+c*x^(2*n)),x,4,e^2*x/c+(-a*e^2+c*d^2)*x*hypergeom([1, 1/2/n],[1+1/2/n],-c*x^(2*n)/a)/a/c+2*d*e*x^(1+n)*hypergeom([1, 1/2*(1+n)/n],[3/2+1/2/n],-c*x^(2*n)/a)/a/(1+n),1],
[(d+e*x^n)/(a+c*x^(2*n)),x,3,d*x*hypergeom([1, 1/2/n],[1+1/2/n],-c*x^(2*n)/a)/a+e*x^(1+n)*hypergeom([1, 1/2*(1+n)/n],[3/2+1/2/n],-c*x^(2*n)/a)/a/(1+n),1],
[1/(d+e*x^n)/(a+c*x^(2*n)),x,5,c*d*x*hypergeom([1, 1/2/n],[1+1/2/n],-c*x^(2*n)/a)/a/(a*e^2+c*d^2)+e^2*x*hypergeom([1, 1/n],[1+1/n],-e*x^n/d)/d/(a*e^2+c*d^2)-c*e*x^(1+n)*hypergeom([1, 1/2*(1+n)/n],[3/2+1/2/n],-c*x^(2*n)/a)/a/(a*e^2+c*d^2)/(1+n),1],
[1/(d+e*x^n)^2/(a+c*x^(2*n)),x,6,e^2*x/d/(a*e^2+c*d^2)/n/(d+e*x^n)+c*(-a*e^2+c*d^2)*x*hypergeom([1, 1/2/n],[1+1/2/n],-c*x^(2*n)/a)/a/(a*e^2+c*d^2)^2-e^2*(c*d^2*(1-3*n)+a*e^2*(1-n))*x*hypergeom([1, 1/n],[1+1/n],-e*x^n/d)/d^2/(a*e^2+c*d^2)^2/n-2*c^2*d*e*x^(1+n)*hypergeom([1, 1/2*(1+n)/n],[3/2+1/2/n],-c*x^(2*n)/a)/a/(a*e^2+c*d^2)^2/(1+n),1],
[(d+e*x^n)/(a-c*x^(2*n)),x,3,d*x*hypergeom([1, 1/2/n],[1+1/2/n],c*x^(2*n)/a)/a+e*x^(1+n)*hypergeom([1, 1/2*(1+n)/n],[3/2+1/2/n],c*x^(2*n)/a)/a/(1+n),1],
[(d+e*x^n)^3/(a+c*x^(2*n))^2,x,7,-3/2*d*e^2*x/a/c/n-1/2*e^3*x^(1+n)/a/c/n+1/2*x*(d+e*x^n)^3/a/n/(a+c*x^(2*n))+1/2*d*(3*a*e^2-c*d^2*(1-2*n))*x*hypergeom([1, 1/2/n],[1+1/2/n],-c*x^(2*n)/a)/a^2/c/n-1/2*e*(3*c*d^2*(1-n)-a*e^2*(1+n))*x^(1+n)*hypergeom([1, 1/2*(1+n)/n],[3/2+1/2/n],-c*x^(2*n)/a)/a^2/c/n/(1+n),1],
[(d+e*x^n)^2/(a+c*x^(2*n))^2,x,5,-1/2*e^2*x/a/c/n+1/2*x*(d+e*x^n)^2/a/n/(a+c*x^(2*n))+1/2*(a*e^2-c*d^2*(1-2*n))*x*hypergeom([1, 1/2/n],[1+1/2/n],-c*x^(2*n)/a)/a^2/c/n-d*e*(1-n)*x^(1+n)*hypergeom([1, 1/2*(1+n)/n],[3/2+1/2/n],-c*x^(2*n)/a)/a^2/n/(1+n),1],
[(d+e*x^n)/(a+c*x^(2*n))^2,x,4,1/2*x*(d+e*x^n)/a/n/(a+c*x^(2*n))-1/2*d*(1-2*n)*x*hypergeom([1, 1/2/n],[1+1/2/n],-c*x^(2*n)/a)/a^2/n-1/2*e*(1-n)*x^(1+n)*hypergeom([1, 1/2*(1+n)/n],[3/2+1/2/n],-c*x^(2*n)/a)/a^2/n/(1+n),1],
[1/(d+e*x^n)/(a+c*x^(2*n))^2,x,6,1/2*c*x*(d-e*x^n)/a/(a*e^2+c*d^2)/n/(a+c*x^(2*n))-1/2*c*d*(a*e^2*(1-4*n)+c*d^2*(1-2*n))*x*hypergeom([1, 1/2/n],[1+1/2/n],-c*x^(2*n)/a)/a^2/(a*e^2+c*d^2)^2/n+e^4*x*hypergeom([1, 1/n],[1+1/n],-e*x^n/d)/d/(a*e^2+c*d^2)^2+1/2*c*e*(a*e^2*(1-3*n)+c*d^2*(1-n))*x^(1+n)*hypergeom([1, 1/2*(1+n)/n],[3/2+1/2/n],-c*x^(2*n)/a)/a^2/(a*e^2+c*d^2)^2/n/(1+n),1],
[1/(d+e*x^n)^2/(a+c*x^(2*n))^2,x,7,-e^2*(-a*e^2+c*d^2)*x/a/d/(a*e^2+c*d^2)^2/n/(d+e*x^n)+1/2*c*x*(d-e*x^n)/a/(a*e^2+c*d^2)/n/(d+e*x^n)/(a+c*x^(2*n))+1/2*c*(a^2*e^4*(1-4*n)-c^2*d^4*(1-2*n)+6*a*c*d^2*e^2*n)*x*hypergeom([1, 1/2/n],[1+1/2/n],-c*x^(2*n)/a)/a^2/(a*e^2+c*d^2)^3/n-e^4*(c*d^2*(1-5*n)+a*e^2*(1-n))*x*hypergeom([1, 1/n],[1+1/n],-e*x^n/d)/d^2/(a*e^2+c*d^2)^3/n+c^2*d*e*(a*e^2*(1-5*n)+c*d^2*(1-n))*x^(1+n)*hypergeom([1, 1/2*(1+n)/n],[3/2+1/2/n],-c*x^(2*n)/a)/a^2/(a*e^2+c*d^2)^3/n/(1+n),1],
[(d+e*x^n)^3/(a+c*x^(2*n))^3,x,5,1/4*x*(d+e*x^n)^3/a/n/(a+c*x^(2*n))^2-1/8*x*(d*(c*d^2*(1-4*n)-3*a*e^2*(1-2*n))+e*(3*c*d^2*(1-3*n)-a*e^2*(1-n))*x^n)/a^2/c/n^2/(a+c*x^(2*n))-1/8*d*(3*a*e^2-c*d^2*(1-4*n))*(1-2*n)*x*hypergeom([1, 1/2/n],[1+1/2/n],-c*x^(2*n)/a)/a^3/c/n^2+1/8*e*(1-n)*(3*c*d^2*(1-3*n)-a*e^2*(1+n))*x^(1+n)*hypergeom([1, 1/2*(1+n)/n],[3/2+1/2/n],-c*x^(2*n)/a)/a^3/c/n^2/(1+n),1],
[(d+e*x^n)^2/(a+c*x^(2*n))^3,x,5,1/4*x*(d+e*x^n)^2/a/n/(a+c*x^(2*n))^2-1/8*x*(c*d^2*(1-4*n)-a*e^2*(1-2*n)+2*c*d*e*(1-3*n)*x^n)/a^2/c/n^2/(a+c*x^(2*n))-1/8*(a*e^2-c*d^2*(1-4*n))*(1-2*n)*x*hypergeom([1, 1/2/n],[1+1/2/n],-c*x^(2*n)/a)/a^3/c/n^2+1/4*d*e*(1-3*n)*(1-n)*x^(1+n)*hypergeom([1, 1/2*(1+n)/n],[3/2+1/2/n],-c*x^(2*n)/a)/a^3/n^2/(1+n),1],
[(d+e*x^n)/(a+c*x^(2*n))^3,x,5,1/4*x*(d+e*x^n)/a/n/(a+c*x^(2*n))^2-1/8*x*(d*(1-4*n)+e*(1-3*n)*x^n)/a^2/n^2/(a+c*x^(2*n))+1/8*d*(8*n^2-6*n+1)*x*hypergeom([1, 1/2/n],[1+1/2/n],-c*x^(2*n)/a)/a^3/n^2+1/8*e*(1-3*n)*(1-n)*x^(1+n)*hypergeom([1, 1/2*(1+n)/n],[3/2+1/2/n],-c*x^(2*n)/a)/a^3/n^2/(1+n),1],
[1/(d+e*x^n)/(a+c*x^(2*n))^3,x,11,1/4*c*x*(d-e*x^n)/a/(a*e^2+c*d^2)/n/(a+c*x^(2*n))^2-1/8*c*x*(d*(a*e^2*(1-8*n)+c*d^2*(1-4*n))-e*(a*e^2*(1-7*n)+c*d^2*(1-3*n))*x^n)/a^2/(a*e^2+c*d^2)^2/n^2/(a+c*x^(2*n))+c*d*e^4*x*hypergeom([1, 1/2/n],[1+1/2/n],-c*x^(2*n)/a)/a/(a*e^2+c*d^2)^3+1/8*c*d*(a*e^2*(1-8*n)+c*d^2*(1-4*n))*(1-2*n)*x*hypergeom([1, 1/2/n],[1+1/2/n],-c*x^(2*n)/a)/a^3/(a*e^2+c*d^2)^2/n^2+e^6*x*hypergeom([1, 1/n],[1+1/n],-e*x^n/d)/d/(a*e^2+c*d^2)^3-c*e^5*x^(1+n)*hypergeom([1, 1/2*(1+n)/n],[3/2+1/2/n],-c*x^(2*n)/a)/a/(a*e^2+c*d^2)^3/(1+n)-1/8*c*e*(a*e^2*(1-7*n)+c*d^2*(1-3*n))*(1-n)*x^(1+n)*hypergeom([1, 1/2*(1+n)/n],[3/2+1/2/n],-c*x^(2*n)/a)/a^3/(a*e^2+c*d^2)^2/n^2/(1+n),1],
[1/(d+e*x^n)^2/(a+c*x^(2*n))^3,x,12,1/4*c*x*(d-e*x^n)/a/(a*e^2+c*d^2)/n/(d+e*x^n)/(a+c*x^(2*n))^2+1/8*c*x*(a^2*e^4*(1-8*n)-c^2*d^4*(1-4*n)+8*a*c*d^2*e^2*n+2*c*d*e*(a*e^2*(1-9*n)+c*d^2*(1-3*n))*x^n)/a^2/(a*e^2+c*d^2)^3/n^2/(a+c*x^(2*n))-1/8*c*(1-2*n)*(a^2*e^4*(1-8*n)-c^2*d^4*(1-4*n)+8*a*c*d^2*e^2*n)*x*hypergeom([1, 1/2/n],[1+1/2/n],-c*x^(2*n)/a)/a^3/(a*e^2+c*d^2)^3/n^2-1/2*c*e^2*(a*c*d^2*e^2*(1-12*n)+c^2*d^4*(1-2*n)+2*a^2*e^4*n)*x*hypergeom([1, 1/2/n],[1+1/2/n],-c*x^(2*n)/a)/a^2/(a*e^2+c*d^2)^4/n-1/2*c*e^4*(a*e^2*(1-13*n)+c*d^2*(1-n))*x*hypergeom([1, 1/n],[1+1/n],-e*x^n/d)/a/(a*e^2+c*d^2)^4/n-1/4*c^2*d*e*(a*e^2*(1-9*n)+c*d^2*(1-3*n))*(1-n)*x^(1+n)*hypergeom([1, 1/2*(1+n)/n],[3/2+1/2/n],-c*x^(2*n)/a)/a^3/(a*e^2+c*d^2)^3/n^2/(1+n)+1/2*c^2*d*e^3*(a*e^2*(1-13*n)+c*d^2*(1-n))*x^(1+n)*hypergeom([1, 1/2*(1+n)/n],[3/2+1/2/n],-c*x^(2*n)/a)/a^2/(a*e^2+c*d^2)^4/n/(1+n)-1/2*e^4*(-2*a*e^2+c*d^2)*x*hypergeom([2, 1/n],[1+1/n],-e*x^n/d)/a/d^2/(a*e^2+c*d^2)^3,1],
[(d+e*x^n)^(3/2)/(a+c*x^(2*n)),x,7,1/2*d*x*sqrt(d+e*x^n)*AppellF1(1/n,-3/2,1,1+1/n,-e*x^n/d,-sqrt(c)*x^n/sqrt(-a))/a/sqrt(1+e*x^n/d)+1/2*d*x*sqrt(d+e*x^n)*AppellF1(1/n,-3/2,1,1+1/n,-e*x^n/d,sqrt(c)*x^n/sqrt(-a))/a/sqrt(1+e*x^n/d),1],
[sqrt(d+e*x^n)/(a+c*x^(2*n)),x,7,1/2*x*sqrt(d+e*x^n)*AppellF1(1/n,-1/2,1,1+1/n,-e*x^n/d,-sqrt(c)*x^n/sqrt(-a))/a/sqrt(1+e*x^n/d)+1/2*x*sqrt(d+e*x^n)*AppellF1(1/n,-1/2,1,1+1/n,-e*x^n/d,sqrt(c)*x^n/sqrt(-a))/a/sqrt(1+e*x^n/d),1],
[1/sqrt(d+e*x^n)/(a+c*x^(2*n)),x,7,1/2*x*sqrt(1+e*x^n/d)*AppellF1(1/n,1/2,1,1+1/n,-e*x^n/d,-sqrt(c)*x^n/sqrt(-a))/a/sqrt(d+e*x^n)+1/2*x*sqrt(1+e*x^n/d)*AppellF1(1/n,1/2,1,1+1/n,-e*x^n/d,sqrt(c)*x^n/sqrt(-a))/a/sqrt(d+e*x^n),1],
[1/(d+e*x^n)^(3/2)/(a+c*x^(2*n)),x,7,1/2*x*sqrt(1+e*x^n/d)*AppellF1(1/n,3/2,1,1+1/n,-e*x^n/d,-sqrt(c)*x^n/sqrt(-a))/a/d/sqrt(d+e*x^n)+1/2*x*sqrt(1+e*x^n/d)*AppellF1(1/n,3/2,1,1+1/n,-e*x^n/d,sqrt(c)*x^n/sqrt(-a))/a/d/sqrt(d+e*x^n),1],
[1/(d+e*x^n)/sqrt(a+c*x^(2*n)),x,8,x*sqrt(1+c*x^(2*n)/a)*AppellF1(1/2/n,1/2,1,1+1/2/n,-c*x^(2*n)/a,e^2*x^(2*n)/d^2)/d/sqrt(a+c*x^(2*n))-e*x^(1+n)*sqrt(1+c*x^(2*n)/a)*AppellF1(1/2*(1+n)/n,1/2,1,3/2+1/2/n,-c*x^(2*n)/a,e^2*x^(2*n)/d^2)/d^2/(1+n)/sqrt(a+c*x^(2*n)),1],
[(d+e*x^n)^3*(a+c*x^(2*n))^p,x,8,3*d*e^2*x*(a+c*x^(2*n))^(p+1)/c/(1+2*n*(p+1))+e^3*x^(1+n)*(a+c*x^(2*n))^(p+1)/c/(1+n*(3+2*p))-d*(3*a*e^2-c*d^2*(1+2*n*(p+1)))*x*(a+c*x^(2*n))^p*hypergeom([1/2/n, -p],[1+1/2/n],-c*x^(2*n)/a)/c/(1+2*n*(p+1))/((1+c*x^(2*n)/a)^p)+e*(3*d^2/(1+n)-a*e^2/(c+c*n*(3+2*p)))*x^(1+n)*(a+c*x^(2*n))^p*hypergeom([1/2*(1+n)/n, -p],[3/2+1/2/n],-c*x^(2*n)/a)/((1+c*x^(2*n)/a)^p),1],
[(d+e*x^n)^2*(a+c*x^(2*n))^p,x,6,e^2*x*(a+c*x^(2*n))^(p+1)/c/(1+2*n*(p+1))-(a*e^2-c*d^2*(1+2*n*(p+1)))*x*(a+c*x^(2*n))^p*hypergeom([1/2/n, -p],[1+1/2/n],-c*x^(2*n)/a)/c/(1+2*n*(p+1))/((1+c*x^(2*n)/a)^p)+2*d*e*x^(1+n)*(a+c*x^(2*n))^p*hypergeom([1/2*(1+n)/n, -p],[3/2+1/2/n],-c*x^(2*n)/a)/(1+n)/((1+c*x^(2*n)/a)^p),1],
[(d+e*x^n)*(a+c*x^(2*n))^p,x,5,d*x*(a+c*x^(2*n))^p*hypergeom([1/2/n, -p],[1+1/2/n],-c*x^(2*n)/a)/((1+c*x^(2*n)/a)^p)+e*x^(1+n)*(a+c*x^(2*n))^p*hypergeom([1/2*(1+n)/n, -p],[3/2+1/2/n],-c*x^(2*n)/a)/(1+n)/((1+c*x^(2*n)/a)^p),1],
[(a+c*x^(2*n))^p/(d+e*x^n),x,8,x*(a+c*x^(2*n))^p*AppellF1(1/2/n,-p,1,1+1/2/n,-c*x^(2*n)/a,e^2*x^(2*n)/d^2)/d/((1+c*x^(2*n)/a)^p)-e*x^(1+n)*(a+c*x^(2*n))^p*AppellF1(1/2*(1+n)/n,-p,1,3/2+1/2/n,-c*x^(2*n)/a,e^2*x^(2*n)/d^2)/d^2/(1+n)/((1+c*x^(2*n)/a)^p),1],
[(a+c*x^(2*n))^p/(d+e*x^n)^2,x,11,e^2*x^(1+2*n)*(a+c*x^(2*n))^p*AppellF1(1+1/2/n,-p,2,2+1/2/n,-c*x^(2*n)/a,e^2*x^(2*n)/d^2)/d^4/(1+2*n)/((1+c*x^(2*n)/a)^p)+x*(a+c*x^(2*n))^p*AppellF1(1/2/n,-p,2,1+1/2/n,-c*x^(2*n)/a,e^2*x^(2*n)/d^2)/d^2/((1+c*x^(2*n)/a)^p)-2*e*x^(1+n)*(a+c*x^(2*n))^p*AppellF1(1/2*(1+n)/n,-p,2,3/2+1/2/n,-c*x^(2*n)/a,e^2*x^(2*n)/d^2)/d^3/(1+n)/((1+c*x^(2*n)/a)^p),1],
[(a+c*x^(2*n))^p/(d+e*x^n)^3,x,14,3*e^2*x^(1+2*n)*(a+c*x^(2*n))^p*AppellF1(1+1/2/n,-p,3,2+1/2/n,-c*x^(2*n)/a,e^2*x^(2*n)/d^2)/d^5/(1+2*n)/((1+c*x^(2*n)/a)^p)-e^3*x^(1+3*n)*(a+c*x^(2*n))^p*AppellF1(3/2+1/2/n,-p,3,5/2+1/2/n,-c*x^(2*n)/a,e^2*x^(2*n)/d^2)/d^6/(1+3*n)/((1+c*x^(2*n)/a)^p)+x*(a+c*x^(2*n))^p*AppellF1(1/2/n,-p,3,1+1/2/n,-c*x^(2*n)/a,e^2*x^(2*n)/d^2)/d^3/((1+c*x^(2*n)/a)^p)-3*e*x^(1+n)*(a+c*x^(2*n))^p*AppellF1(1/2*(1+n)/n,-p,3,3/2+1/2/n,-c*x^(2*n)/a,e^2*x^(2*n)/d^2)/d^4/(1+n)/((1+c*x^(2*n)/a)^p),1],
[(d+e*x^n)^q*(a+c*x^(2*n))^p,x,0,Defer(Int)((d+e*x^n)^q*(a+c*x^(2*n))^p,x),0],
[(d+e*x^n)^q*(c*d^2-c*e^2*x^(2*n))^p,x,5,x*(d+e*x^n)^q*(1+e*x^n/d)^(-p-q)*(c*d^2-c*e^2*x^(2*n))^p*AppellF1(1/n,-p,-p-q,1+1/n,e*x^n/d,-e*x^n/d)/((1-e*x^n/d)^p),1],
[(2-e*x^n)^p*(2+e*x^n)^(p+q),x,2,2^(2*p+q)*x*AppellF1(1/n,-p,-p-q,1+1/n,1/2*e*x^n,-1/2*e*x^n),1],
[(2+e*x^n)^q*(4-e^2*x^(2*n))^p,x,3,2^(2*p+q)*x*AppellF1(1/n,-p,-p-q,1+1/n,1/2*e*x^n,-1/2*e*x^n),1]]: