lst:=[[(f*x+e)^3*sqrt(d*x^3+c)/(b*x^3+a),x,13,2*e*f^2*sqrt(d*x^3+c)/b+2/5*f^3*x*sqrt(d*x^3+c)/b+(-a*d+b*c)*(-a*f^3+b*e^3)*x*sqrt(1+d*x^3/c)*AppellF1(1/3,1,1/2,4/3,-b*x^3/a,-d*x^3/c)/a/b^2/sqrt(d*x^3+c)+3/2*e^2*f*x^2*sqrt(d*x^3+c)*AppellF1(2/3,1,-1/2,5/3,-b*x^3/a,-d*x^3/c)/a/sqrt(1+d*x^3/c)-2*sqrt(-a*d+b*c)*e*f^2*arctanh(sqrt(b)*sqrt(d*x^3+c)/sqrt(-a*d+b*c))/b^(3/2)+2/15*sqrt(2+sqrt(3))*(-5*a*d*f^3+3*b*c*f^3+5*b*d*e^3)*(c^(1/3)+d^(1/3)*x)*sqrt((c^(2/3)-c^(1/3)*d^(1/3)*x+d^(2/3)*x^2)/((1+sqrt(3))*c^(1/3)+d^(1/3)*x)^2)*InverseJacobiAM(arcsin(((1-sqrt(3))*c^(1/3)+d^(1/3)*x)/((1+sqrt(3))*c^(1/3)+d^(1/3)*x)),sqrt(-7-4*sqrt(3)))*3^(3/4)/b^2/d^(1/3)/sqrt(c^(1/3)*(c^(1/3)+d^(1/3)*x)/((1+sqrt(3))*c^(1/3)+d^(1/3)*x)^2)/sqrt(d*x^3+c),1],
[(b*x^3+a)^p*(d*x^3+c)^q*(a*A*c+A*(b*c*(4+3*p)+a*d*(4+3*q))*x^3+A*b*d*(7+3*p+3*q)*x^6),x,1,A*x*(b*x^3+a)^(p+1)*(d*x^3+c)^(1+q),1],
[(D*x^9+C*x^6+B*x^3+A)/(b*x^3+a)^(1/3)/(f*x^3+e),x,6,-1/9*(-3*C*b*f+2*D*a*f+3*D*b*e)*x*(b*x^3+a)^(2/3)/b^2/f^2+1/6*D*x^4*(b*x^3+a)^(2/3)/b/f+1/9*(2*a^2*D*f^2+3*a*b*f*(-C*f+D*e)+9*b^2*(D*e^2-f*(-B*f+C*e)))*arctan((1+2*b^(1/3)*x/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/b^(7/3)/f^3-(D*e^3-f*(C*e^2-f*(-A*f+B*e)))*arctan((1+2*(-a*f+b*e)^(1/3)*x/e^(1/3)/(b*x^3+a)^(1/3))/sqrt(3))/sqrt(3)/e^(2/3)/f^3/(-a*f+b*e)^(1/3)-1/6*(D*e^3-f*(C*e^2-f*(-A*f+B*e)))*ln(f*x^3+e)/e^(2/3)/f^3/(-a*f+b*e)^(1/3)+1/2*(D*e^3-f*(C*e^2-f*(-A*f+B*e)))*ln((-a*f+b*e)^(1/3)*x/e^(1/3)-(b*x^3+a)^(1/3))/e^(2/3)/f^3/(-a*f+b*e)^(1/3)-1/18*(2*a^2*D*f^2+3*a*b*f*(-C*f+D*e)+9*b^2*(D*e^2-f*(-B*f+C*e)))*ln(-b^(1/3)*x+(b*x^3+a)^(1/3))/b^(7/3)/f^3,1],
[(A+B*x^n+C*x^(2*n))/sqrt(a+b*x^n)/(e+f*x^n),x,8,2*C*x*sqrt(a+b*x^n)/b/f/(2+n)+(A*f^2-B*e*f+C*e^2)*x*sqrt(1+b*x^n/a)*AppellF1(1/n,1/2,1,1+1/n,-b*x^n/a,-f*x^n/e)/e/f^2/sqrt(a+b*x^n)-(2*a*C*f+b*(-B*f+C*e)*(2+n))*x*sqrt(1+b*x^n/a)*hypergeom([1/2, 1/n],[1+1/n],-b*x^n/a)/b/f^2/(2+n)/sqrt(a+b*x^n),1],
[(a+b*x^n)^p*(c+d*x^n)^q*(a*A*c+A*(b*c*(1+n*(p+1))+a*d*(1+n*(1+q)))*x^n+A*b*d*(1+n*(2+p+q))*x^(2*n)),x,1,A*x*(a+b*x^n)^(p+1)*(c+d*x^n)^(1+q),1]]: