lst:=[[(d+e*(F^(c*(b*x+a)))^n)^2,x,3,d^2*x+2*d*e*(F^(c*(b*x+a)))^n/b/c/n/ln(F)+1/2*e^2*(F^(c*(b*x+a)))^(2*n)/b/c/n/ln(F),1],
[d+e*(F^(c*(b*x+a)))^n,x,3,d*x+e*(F^(c*(b*x+a)))^n/b/c/n/ln(F),1],
[1/(d+e*(F^(c*(b*x+a)))^n),x,3,x/d-ln(d+e*(F^(c*(b*x+a)))^n)/b/c/d/n/ln(F),1],
[1/(d+e*(F^(c*(b*x+a)))^n)^2,x,3,x/d^2+1/b/c/d/(d+e*(F^(c*(b*x+a)))^n)/n/ln(F)-ln(d+e*(F^(c*(b*x+a)))^n)/b/c/d^2/n/ln(F),1],
[(d+e*(F^(c*(b*x+a)))^n)^(3/2),x,5,2*d*sqrt(d+e*(F^(c*(b*x+a)))^n)/b/c/n/ln(F)+2/3*(d+e*(F^(c*(b*x+a)))^n)^(3/2)/b/c/n/ln(F)-2*d^(3/2)*arctanh(sqrt(d+e*(F^(c*(b*x+a)))^n)/sqrt(d))/b/c/n/ln(F),1],
[sqrt(d+e*(F^(c*(b*x+a)))^n),x,4,2*sqrt(d+e*(F^(c*(b*x+a)))^n)/b/c/n/ln(F)-2*sqrt(d)*arctanh(sqrt(d+e*(F^(c*(b*x+a)))^n)/sqrt(d))/b/c/n/ln(F),1],
[1/sqrt(d+e*(F^(c*(b*x+a)))^n),x,3,-2*arctanh(sqrt(d+e*(F^(c*(b*x+a)))^n)/sqrt(d))/b/c/sqrt(d)/n/ln(F),1],
[1/(d+e*(F^(c*(b*x+a)))^n)^(3/2),x,4,2/b/c/d/sqrt(d+e*(F^(c*(b*x+a)))^n)/n/ln(F)-2*arctanh(sqrt(d+e*(F^(c*(b*x+a)))^n)/sqrt(d))/b/c/d^(3/2)/n/ln(F),1],
[1/(d+e*(F^(c*(b*x+a)))^n)^(5/2),x,5,2/3/b/c/d/(d+e*(F^(c*(b*x+a)))^n)^(3/2)/n/ln(F)+2/b/c/d^2/sqrt(d+e*(F^(c*(b*x+a)))^n)/n/ln(F)-2*arctanh(sqrt(d+e*(F^(c*(b*x+a)))^n)/sqrt(d))/b/c/d^(5/2)/n/ln(F),1],
[(d+e*(F^(c*(b*x+a)))^n)^(4/3),x,9,-1/2*d^(4/3)*x+3*d*(d+e*(F^(c*(b*x+a)))^n)^(1/3)/b/c/n/ln(F)+3/4*(d+e*(F^(c*(b*x+a)))^n)^(4/3)/b/c/n/ln(F)-sqrt(3)*d^(4/3)*arctan((d^(1/3)+2*(d+e*(F^(c*(b*x+a)))^n)^(1/3))/sqrt(3)/d^(1/3))/b/c/n/ln(F)+3/2*d^(4/3)*ln(d^(1/3)-(d+e*(F^(c*(b*x+a)))^n)^(1/3))/b/c/n/ln(F),1],
[(d+e*(F^(c*(b*x+a)))^n)^(2/3),x,9,-1/2*d^(2/3)*x+3/2*(d+e*(F^(c*(b*x+a)))^n)^(2/3)/b/c/n/ln(F)+sqrt(3)*d^(2/3)*arctan((d^(1/3)+2*(d+e*(F^(c*(b*x+a)))^n)^(1/3))/sqrt(3)/d^(1/3))/b/c/n/ln(F)+3/2*d^(2/3)*ln(d^(1/3)-(d+e*(F^(c*(b*x+a)))^n)^(1/3))/b/c/n/ln(F),1],
[(d+e*(F^(c*(b*x+a)))^n)^(1/3),x,8,-1/2*d^(1/3)*x+3*(d+e*(F^(c*(b*x+a)))^n)^(1/3)/b/c/n/ln(F)-sqrt(3)*d^(1/3)*arctan((d^(1/3)+2*(d+e*(F^(c*(b*x+a)))^n)^(1/3))/sqrt(3)/d^(1/3))/b/c/n/ln(F)+3/2*d^(1/3)*ln(d^(1/3)-(d+e*(F^(c*(b*x+a)))^n)^(1/3))/b/c/n/ln(F),1],
[1/(d+e*(F^(c*(b*x+a)))^n)^(1/3),x,8,-1/2*x/d^(1/3)+sqrt(3)*arctan((d^(1/3)+2*(d+e*(F^(c*(b*x+a)))^n)^(1/3))/sqrt(3)/d^(1/3))/b/c/d^(1/3)/n/ln(F)+3/2*ln(d^(1/3)-(d+e*(F^(c*(b*x+a)))^n)^(1/3))/b/c/d^(1/3)/n/ln(F),1],
[1/(d+e*(F^(c*(b*x+a)))^n)^(2/3),x,7,-1/2*x/d^(2/3)-sqrt(3)*arctan((d^(1/3)+2*(d+e*(F^(c*(b*x+a)))^n)^(1/3))/sqrt(3)/d^(1/3))/b/c/d^(2/3)/n/ln(F)+3/2*ln(d^(1/3)-(d+e*(F^(c*(b*x+a)))^n)^(1/3))/b/c/d^(2/3)/n/ln(F),1],
[1/(d+e*(F^(c*(b*x+a)))^n)^(4/3),x,9,-1/2*x/d^(4/3)+3/b/c/d/(d+e*(F^(c*(b*x+a)))^n)^(1/3)/n/ln(F)+sqrt(3)*arctan((d^(1/3)+2*(d+e*(F^(c*(b*x+a)))^n)^(1/3))/sqrt(3)/d^(1/3))/b/c/d^(4/3)/n/ln(F)+3/2*ln(d^(1/3)-(d+e*(F^(c*(b*x+a)))^n)^(1/3))/b/c/d^(4/3)/n/ln(F),1],
[1/(d+e*(F^(c*(b*x+a)))^n)^(5/3),x,8,-1/2*x/d^(5/3)+3/2/b/c/d/(d+e*(F^(c*(b*x+a)))^n)^(2/3)/n/ln(F)-sqrt(3)*arctan((d^(1/3)+2*(d+e*(F^(c*(b*x+a)))^n)^(1/3))/sqrt(3)/d^(1/3))/b/c/d^(5/3)/n/ln(F)+3/2*ln(d^(1/3)-(d+e*(F^(c*(b*x+a)))^n)^(1/3))/b/c/d^(5/3)/n/ln(F),1],
[1/(d+e*(F^(c*(b*x+a)))^n)^(7/3),x,10,-1/2*x/d^(7/3)+3/4/b/c/d/(d+e*(F^(c*(b*x+a)))^n)^(4/3)/n/ln(F)+3/b/c/d^2/(d+e*(F^(c*(b*x+a)))^n)^(1/3)/n/ln(F)+sqrt(3)*arctan((d^(1/3)+2*(d+e*(F^(c*(b*x+a)))^n)^(1/3))/sqrt(3)/d^(1/3))/b/c/d^(7/3)/n/ln(F)+3/2*ln(d^(1/3)-(d+e*(F^(c*(b*x+a)))^n)^(1/3))/b/c/d^(7/3)/n/ln(F),1],
[(d+e*(F^(c*(b*x+a)))^n)^p,x,2,-(d+e*(F^(c*(b*x+a)))^n)^(p+1)*hypergeom([1, p+1],[2+p],(d+e*(F^(c*(b*x+a)))^n)/d)/b/c/d/n/(p+1)/ln(F),1],
[(d+e*(F^(c*(b*x+a)))^n)*(g*x+f)^3,x,7,1/4*d*(g*x+f)^4/g-6*e*(F^(b*c*x+a*c))^n*g^3/b^4/c^4/n^4/ln(F)^4+6*e*(F^(b*c*x+a*c))^n*g^2*(g*x+f)/b^3/c^3/n^3/ln(F)^3-3*e*(F^(b*c*x+a*c))^n*g*(g*x+f)^2/b^2/c^2/n^2/ln(F)^2+e*(F^(b*c*x+a*c))^n*(g*x+f)^3/b/c/n/ln(F),1],
[(d+e*(F^(c*(b*x+a)))^n)*(g*x+f)^2,x,6,1/3*d*(g*x+f)^3/g+2*e*(F^(b*c*x+a*c))^n*g^2/b^3/c^3/n^3/ln(F)^3-2*e*(F^(b*c*x+a*c))^n*g*(g*x+f)/b^2/c^2/n^2/ln(F)^2+e*(F^(b*c*x+a*c))^n*(g*x+f)^2/b/c/n/ln(F),1],
[(d+e*(F^(c*(b*x+a)))^n)*(g*x+f),x,5,1/2*d*(g*x+f)^2/g-e*(F^(b*c*x+a*c))^n*g/b^2/c^2/n^2/ln(F)^2+e*(F^(b*c*x+a*c))^n*(g*x+f)/b/c/n/ln(F),1],
[d+e*(F^(c*(b*x+a)))^n,x,3,d*x+e*(F^(c*(b*x+a)))^n/b/c/n/ln(F),1],
[(d+e*(F^(c*(b*x+a)))^n)/(g*x+f),x,4,e*F^(c*(a-b*f/g)*n-c*n*(b*x+a))*(F^(b*c*x+a*c))^n*Ei(b*c*n*(g*x+f)*ln(F)/g)/g+d*ln(g*x+f)/g,1],
[(d+e*(F^(c*(b*x+a)))^n)/(g*x+f)^2,x,5,-d/g/(g*x+f)-e*(F^(b*c*x+a*c))^n/g/(g*x+f)+b*c*e*F^(c*(a-b*f/g)*n-c*n*(b*x+a))*(F^(b*c*x+a*c))^n*n*Ei(b*c*n*(g*x+f)*ln(F)/g)*ln(F)/g^2,1],
[(d+e*(F^(c*(b*x+a)))^n)/(g*x+f)^3,x,6,-1/2*d/g/(g*x+f)^2-1/2*e*(F^(b*c*x+a*c))^n/g/(g*x+f)^2-1/2*b*c*e*(F^(b*c*x+a*c))^n*n*ln(F)/g^2/(g*x+f)+1/2*b^2*c^2*e*F^(c*(a-b*f/g)*n-c*n*(b*x+a))*(F^(b*c*x+a*c))^n*n^2*Ei(b*c*n*(g*x+f)*ln(F)/g)*ln(F)^2/g^3,1],
[(d+e*(F^(c*(b*x+a)))^n)^2*(g*x+f)^3,x,12,1/4*d^2*(g*x+f)^4/g-12*d*e*(F^(b*c*x+a*c))^n*g^3/b^4/c^4/n^4/ln(F)^4-3/8*e^2*(F^(b*c*x+a*c))^(2*n)*g^3/b^4/c^4/n^4/ln(F)^4+12*d*e*(F^(b*c*x+a*c))^n*g^2*(g*x+f)/b^3/c^3/n^3/ln(F)^3+3/4*e^2*(F^(b*c*x+a*c))^(2*n)*g^2*(g*x+f)/b^3/c^3/n^3/ln(F)^3-6*d*e*(F^(b*c*x+a*c))^n*g*(g*x+f)^2/b^2/c^2/n^2/ln(F)^2-3/4*e^2*(F^(b*c*x+a*c))^(2*n)*g*(g*x+f)^2/b^2/c^2/n^2/ln(F)^2+2*d*e*(F^(b*c*x+a*c))^n*(g*x+f)^3/b/c/n/ln(F)+1/2*e^2*(F^(b*c*x+a*c))^(2*n)*(g*x+f)^3/b/c/n/ln(F),1],
[(d+e*(F^(c*(b*x+a)))^n)^2*(g*x+f)^2,x,10,1/3*d^2*(g*x+f)^3/g+4*d*e*(F^(b*c*x+a*c))^n*g^2/b^3/c^3/n^3/ln(F)^3+1/4*e^2*(F^(b*c*x+a*c))^(2*n)*g^2/b^3/c^3/n^3/ln(F)^3-4*d*e*(F^(b*c*x+a*c))^n*g*(g*x+f)/b^2/c^2/n^2/ln(F)^2-1/2*e^2*(F^(b*c*x+a*c))^(2*n)*g*(g*x+f)/b^2/c^2/n^2/ln(F)^2+2*d*e*(F^(b*c*x+a*c))^n*(g*x+f)^2/b/c/n/ln(F)+1/2*e^2*(F^(b*c*x+a*c))^(2*n)*(g*x+f)^2/b/c/n/ln(F),1],
[(d+e*(F^(c*(b*x+a)))^n)^2*(g*x+f),x,8,1/2*d^2*(g*x+f)^2/g-2*d*e*(F^(b*c*x+a*c))^n*g/b^2/c^2/n^2/ln(F)^2-1/4*e^2*(F^(b*c*x+a*c))^(2*n)*g/b^2/c^2/n^2/ln(F)^2+2*d*e*(F^(b*c*x+a*c))^n*(g*x+f)/b/c/n/ln(F)+1/2*e^2*(F^(b*c*x+a*c))^(2*n)*(g*x+f)/b/c/n/ln(F),1],
[(d+e*(F^(c*(b*x+a)))^n)^2,x,3,d^2*x+2*d*e*(F^(c*(b*x+a)))^n/b/c/n/ln(F)+1/2*e^2*(F^(c*(b*x+a)))^(2*n)/b/c/n/ln(F),1],
[(d+e*(F^(c*(b*x+a)))^n)^2/(g*x+f),x,6,2*d*e*F^(c*(a-b*f/g)*n-c*n*(b*x+a))*(F^(b*c*x+a*c))^n*Ei(b*c*n*(g*x+f)*ln(F)/g)/g+e^2*F^(2*c*(a-b*f/g)*n-2*c*n*(b*x+a))*(F^(b*c*x+a*c))^(2*n)*Ei(2*b*c*n*(g*x+f)*ln(F)/g)/g+d^2*ln(g*x+f)/g,1],
[(d+e*(F^(c*(b*x+a)))^n)^2/(g*x+f)^2,x,8,-d^2/g/(g*x+f)-2*d*e*(F^(b*c*x+a*c))^n/g/(g*x+f)-e^2*(F^(b*c*x+a*c))^(2*n)/g/(g*x+f)+2*b*c*d*e*F^(c*(a-b*f/g)*n-c*n*(b*x+a))*(F^(b*c*x+a*c))^n*n*Ei(b*c*n*(g*x+f)*ln(F)/g)*ln(F)/g^2+2*b*c*e^2*F^(2*c*(a-b*f/g)*n-2*c*n*(b*x+a))*(F^(b*c*x+a*c))^(2*n)*n*Ei(2*b*c*n*(g*x+f)*ln(F)/g)*ln(F)/g^2,1],
[(d+e*(F^(c*(b*x+a)))^n)^2/(g*x+f)^3,x,10,-1/2*d^2/g/(g*x+f)^2-d*e*(F^(b*c*x+a*c))^n/g/(g*x+f)^2-1/2*e^2*(F^(b*c*x+a*c))^(2*n)/g/(g*x+f)^2-b*c*d*e*(F^(b*c*x+a*c))^n*n*ln(F)/g^2/(g*x+f)-b*c*e^2*(F^(b*c*x+a*c))^(2*n)*n*ln(F)/g^2/(g*x+f)+b^2*c^2*d*e*F^(c*(a-b*f/g)*n-c*n*(b*x+a))*(F^(b*c*x+a*c))^n*n^2*Ei(b*c*n*(g*x+f)*ln(F)/g)*ln(F)^2/g^3+2*b^2*c^2*e^2*F^(2*c*(a-b*f/g)*n-2*c*n*(b*x+a))*(F^(b*c*x+a*c))^(2*n)*n^2*Ei(2*b*c*n*(g*x+f)*ln(F)/g)*ln(F)^2/g^3,1],
[(g*x+f)^3/(d+e*(F^(c*(b*x+a)))^n),x,6,1/4*(g*x+f)^4/d/g-(g*x+f)^3*ln(1+e*(F^(c*(b*x+a)))^n/d)/b/c/d/n/ln(F)-3*g*(g*x+f)^2*polylog(2,-e*(F^(c*(b*x+a)))^n/d)/b^2/c^2/d/n^2/ln(F)^2+6*g^2*(g*x+f)*polylog(3,-e*(F^(c*(b*x+a)))^n/d)/b^3/c^3/d/n^3/ln(F)^3-6*g^3*polylog(4,-e*(F^(c*(b*x+a)))^n/d)/b^4/c^4/d/n^4/ln(F)^4,1],
[(g*x+f)^2/(d+e*(F^(c*(b*x+a)))^n),x,5,1/3*(g*x+f)^3/d/g-(g*x+f)^2*ln(1+e*(F^(c*(b*x+a)))^n/d)/b/c/d/n/ln(F)-2*g*(g*x+f)*polylog(2,-e*(F^(c*(b*x+a)))^n/d)/b^2/c^2/d/n^2/ln(F)^2+2*g^2*polylog(3,-e*(F^(c*(b*x+a)))^n/d)/b^3/c^3/d/n^3/ln(F)^3,1],
[(g*x+f)/(d+e*(F^(c*(b*x+a)))^n),x,4,1/2*(g*x+f)^2/d/g-(g*x+f)*ln(1+e*(F^(c*(b*x+a)))^n/d)/b/c/d/n/ln(F)-g*polylog(2,-e*(F^(c*(b*x+a)))^n/d)/b^2/c^2/d/n^2/ln(F)^2,1],
[1/(d+e*(F^(c*(b*x+a)))^n),x,3,x/d-ln(d+e*(F^(c*(b*x+a)))^n)/b/c/d/n/ln(F),1],
[1/(d+e*(F^(c*(b*x+a)))^n)/(g*x+f),x,0,Defer(Int)(1/(d+e*(F^(c*(b*x+a)))^n)/(g*x+f),x),0],
[1/(d+e*(F^(c*(b*x+a)))^n)/(g*x+f)^2,x,0,Defer(Int)(1/(d+e*(F^(c*(b*x+a)))^n)/(g*x+f)^2,x),0],
[(g*x+f)^3/(d+e*(F^(c*(b*x+a)))^n)^2,x,13,1/4*(g*x+f)^4/d^2/g-(g*x+f)^3/b/c/d^2/n/ln(F)+(g*x+f)^3/b/c/d/(d+e*(F^(c*(b*x+a)))^n)/n/ln(F)+3*g*(g*x+f)^2*ln(1+e*(F^(c*(b*x+a)))^n/d)/b^2/c^2/d^2/n^2/ln(F)^2-(g*x+f)^3*ln(1+e*(F^(c*(b*x+a)))^n/d)/b/c/d^2/n/ln(F)+6*g^2*(g*x+f)*polylog(2,-e*(F^(c*(b*x+a)))^n/d)/b^3/c^3/d^2/n^3/ln(F)^3-3*g*(g*x+f)^2*polylog(2,-e*(F^(c*(b*x+a)))^n/d)/b^2/c^2/d^2/n^2/ln(F)^2-6*g^3*polylog(3,-e*(F^(c*(b*x+a)))^n/d)/b^4/c^4/d^2/n^4/ln(F)^4+6*g^2*(g*x+f)*polylog(3,-e*(F^(c*(b*x+a)))^n/d)/b^3/c^3/d^2/n^3/ln(F)^3-6*g^3*polylog(4,-e*(F^(c*(b*x+a)))^n/d)/b^4/c^4/d^2/n^4/ln(F)^4,1],
[(g*x+f)^2/(d+e*(F^(c*(b*x+a)))^n)^2,x,11,1/3*(g*x+f)^3/d^2/g-(g*x+f)^2/b/c/d^2/n/ln(F)+(g*x+f)^2/b/c/d/(d+e*(F^(c*(b*x+a)))^n)/n/ln(F)+2*g*(g*x+f)*ln(1+e*(F^(c*(b*x+a)))^n/d)/b^2/c^2/d^2/n^2/ln(F)^2-(g*x+f)^2*ln(1+e*(F^(c*(b*x+a)))^n/d)/b/c/d^2/n/ln(F)+2*g^2*polylog(2,-e*(F^(c*(b*x+a)))^n/d)/b^3/c^3/d^2/n^3/ln(F)^3-2*g*(g*x+f)*polylog(2,-e*(F^(c*(b*x+a)))^n/d)/b^2/c^2/d^2/n^2/ln(F)^2+2*g^2*polylog(3,-e*(F^(c*(b*x+a)))^n/d)/b^3/c^3/d^2/n^3/ln(F)^3,1],
[(g*x+f)/(d+e*(F^(c*(b*x+a)))^n)^2,x,9,1/2*(g*x+f)^2/d^2/g-g*x/b/c/d^2/n/ln(F)+(g*x+f)/b/c/d/(d+e*(F^(c*(b*x+a)))^n)/n/ln(F)+g*ln(d+e*(F^(c*(b*x+a)))^n)/b^2/c^2/d^2/n^2/ln(F)^2-(g*x+f)*ln(1+e*(F^(c*(b*x+a)))^n/d)/b/c/d^2/n/ln(F)-g*polylog(2,-e*(F^(c*(b*x+a)))^n/d)/b^2/c^2/d^2/n^2/ln(F)^2,1],
[1/(d+e*(F^(c*(b*x+a)))^n)^2,x,3,x/d^2+1/b/c/d/(d+e*(F^(c*(b*x+a)))^n)/n/ln(F)-ln(d+e*(F^(c*(b*x+a)))^n)/b/c/d^2/n/ln(F),1],
[1/(d+e*(F^(c*(b*x+a)))^n)^2/(g*x+f),x,0,Defer(Int)(1/(d+e*(F^(c*(b*x+a)))^n)^2/(g*x+f),x),0],
[1/(d+e*(F^(c*(b*x+a)))^n)^2/(g*x+f)^2,x,0,Defer(Int)(1/(d+e*(F^(c*(b*x+a)))^n)^2/(g*x+f)^2,x),0],
[(d+e*(F^(c*(b*x+a)))^n)^(5/2)*(g*x+f),x,24,-92/15*d^2*sqrt(d+e*(F^(c*(b*x+a)))^n)*g/b^2/c^2/n^2/ln(F)^2-32/45*d*(d+e*(F^(c*(b*x+a)))^n)^(3/2)*g/b^2/c^2/n^2/ln(F)^2-4/25*(d+e*(F^(c*(b*x+a)))^n)^(5/2)*g/b^2/c^2/n^2/ln(F)^2+92/15*d^(5/2)*g*arctanh(sqrt(d+e*(F^(c*(b*x+a)))^n)/sqrt(d))/b^2/c^2/n^2/ln(F)^2+2*d^(5/2)*g*arctanh(sqrt(d+e*(F^(c*(b*x+a)))^n)/sqrt(d))^2/b^2/c^2/n^2/ln(F)^2+2*d^2*sqrt(d+e*(F^(c*(b*x+a)))^n)*(g*x+f)/b/c/n/ln(F)+2/3*d*(d+e*(F^(c*(b*x+a)))^n)^(3/2)*(g*x+f)/b/c/n/ln(F)+2/5*(d+e*(F^(c*(b*x+a)))^n)^(5/2)*(g*x+f)/b/c/n/ln(F)-2*d^(5/2)*(g*x+f)*arctanh(sqrt(d+e*(F^(c*(b*x+a)))^n)/sqrt(d))/b/c/n/ln(F)-4*d^(5/2)*g*arctanh(sqrt(d+e*(F^(c*(b*x+a)))^n)/sqrt(d))*ln(2*sqrt(d)/(sqrt(d)-sqrt(d+e*(F^(c*(b*x+a)))^n)))/b^2/c^2/n^2/ln(F)^2-2*d^(5/2)*g*polylog(2,1-2*sqrt(d)/(sqrt(d)-sqrt(d+e*(F^(c*(b*x+a)))^n)))/b^2/c^2/n^2/ln(F)^2,1],
[(d+e*(F^(c*(b*x+a)))^n)^(3/2)*(g*x+f),x,18,-16/3*d*sqrt(d+e*(F^(c*(b*x+a)))^n)*g/b^2/c^2/n^2/ln(F)^2-4/9*(d+e*(F^(c*(b*x+a)))^n)^(3/2)*g/b^2/c^2/n^2/ln(F)^2+16/3*d^(3/2)*g*arctanh(sqrt(d+e*(F^(c*(b*x+a)))^n)/sqrt(d))/b^2/c^2/n^2/ln(F)^2+2*d^(3/2)*g*arctanh(sqrt(d+e*(F^(c*(b*x+a)))^n)/sqrt(d))^2/b^2/c^2/n^2/ln(F)^2+2*d*sqrt(d+e*(F^(c*(b*x+a)))^n)*(g*x+f)/b/c/n/ln(F)+2/3*(d+e*(F^(c*(b*x+a)))^n)^(3/2)*(g*x+f)/b/c/n/ln(F)-2*d^(3/2)*(g*x+f)*arctanh(sqrt(d+e*(F^(c*(b*x+a)))^n)/sqrt(d))/b/c/n/ln(F)-4*d^(3/2)*g*arctanh(sqrt(d+e*(F^(c*(b*x+a)))^n)/sqrt(d))*ln(2*sqrt(d)/(sqrt(d)-sqrt(d+e*(F^(c*(b*x+a)))^n)))/b^2/c^2/n^2/ln(F)^2-2*d^(3/2)*g*polylog(2,1-2*sqrt(d)/(sqrt(d)-sqrt(d+e*(F^(c*(b*x+a)))^n)))/b^2/c^2/n^2/ln(F)^2,1],
[sqrt(d+e*(F^(c*(b*x+a)))^n)*(g*x+f),x,13,-4*sqrt(d+e*(F^(c*(b*x+a)))^n)*g/b^2/c^2/n^2/ln(F)^2+4*sqrt(d)*g*arctanh(sqrt(d+e*(F^(c*(b*x+a)))^n)/sqrt(d))/b^2/c^2/n^2/ln(F)^2+2*sqrt(d)*g*arctanh(sqrt(d+e*(F^(c*(b*x+a)))^n)/sqrt(d))^2/b^2/c^2/n^2/ln(F)^2+2*sqrt(d+e*(F^(c*(b*x+a)))^n)*(g*x+f)/b/c/n/ln(F)-2*sqrt(d)*(g*x+f)*arctanh(sqrt(d+e*(F^(c*(b*x+a)))^n)/sqrt(d))/b/c/n/ln(F)-4*sqrt(d)*g*arctanh(sqrt(d+e*(F^(c*(b*x+a)))^n)/sqrt(d))*ln(2*sqrt(d)/(sqrt(d)-sqrt(d+e*(F^(c*(b*x+a)))^n)))/b^2/c^2/n^2/ln(F)^2-2*sqrt(d)*g*polylog(2,1-2*sqrt(d)/(sqrt(d)-sqrt(d+e*(F^(c*(b*x+a)))^n)))/b^2/c^2/n^2/ln(F)^2,1],
[(g*x+f)/sqrt(d+e*(F^(c*(b*x+a)))^n),x,9,2*g*arctanh(sqrt(d+e*(F^(c*(b*x+a)))^n)/sqrt(d))^2/b^2/c^2/sqrt(d)/n^2/ln(F)^2-2*(g*x+f)*arctanh(sqrt(d+e*(F^(c*(b*x+a)))^n)/sqrt(d))/b/c/sqrt(d)/n/ln(F)-4*g*arctanh(sqrt(d+e*(F^(c*(b*x+a)))^n)/sqrt(d))*ln(2*sqrt(d)/(sqrt(d)-sqrt(d+e*(F^(c*(b*x+a)))^n)))/b^2/c^2/sqrt(d)/n^2/ln(F)^2-2*g*polylog(2,1-2*sqrt(d)/(sqrt(d)-sqrt(d+e*(F^(c*(b*x+a)))^n)))/b^2/c^2/sqrt(d)/n^2/ln(F)^2,1],
[(g*x+f)/(d+e*(F^(c*(b*x+a)))^n)^(3/2),x,12,4*g*arctanh(sqrt(d+e*(F^(c*(b*x+a)))^n)/sqrt(d))/b^2/c^2/d^(3/2)/n^2/ln(F)^2+2*g*arctanh(sqrt(d+e*(F^(c*(b*x+a)))^n)/sqrt(d))^2/b^2/c^2/d^(3/2)/n^2/ln(F)^2+2*(g*x+f)/b/c/d/sqrt(d+e*(F^(c*(b*x+a)))^n)/n/ln(F)-2*(g*x+f)*arctanh(sqrt(d+e*(F^(c*(b*x+a)))^n)/sqrt(d))/b/c/d^(3/2)/n/ln(F)-4*g*arctanh(sqrt(d+e*(F^(c*(b*x+a)))^n)/sqrt(d))*ln(2*sqrt(d)/(sqrt(d)-sqrt(d+e*(F^(c*(b*x+a)))^n)))/b^2/c^2/d^(3/2)/n^2/ln(F)^2-2*g*polylog(2,1-2*sqrt(d)/(sqrt(d)-sqrt(d+e*(F^(c*(b*x+a)))^n)))/b^2/c^2/d^(3/2)/n^2/ln(F)^2,1],
[(g*x+f)/(d+e*(F^(c*(b*x+a)))^n)^(5/2),x,16,-4/3*g/b^2/c^2/d^2/sqrt(d+e*(F^(c*(b*x+a)))^n)/n^2/ln(F)^2+16/3*g*arctanh(sqrt(d+e*(F^(c*(b*x+a)))^n)/sqrt(d))/b^2/c^2/d^(5/2)/n^2/ln(F)^2+2*g*arctanh(sqrt(d+e*(F^(c*(b*x+a)))^n)/sqrt(d))^2/b^2/c^2/d^(5/2)/n^2/ln(F)^2+2/3*(g*x+f)/b/c/d/(d+e*(F^(c*(b*x+a)))^n)^(3/2)/n/ln(F)+2*(g*x+f)/b/c/d^2/sqrt(d+e*(F^(c*(b*x+a)))^n)/n/ln(F)-2*(g*x+f)*arctanh(sqrt(d+e*(F^(c*(b*x+a)))^n)/sqrt(d))/b/c/d^(5/2)/n/ln(F)-4*g*arctanh(sqrt(d+e*(F^(c*(b*x+a)))^n)/sqrt(d))*ln(2*sqrt(d)/(sqrt(d)-sqrt(d+e*(F^(c*(b*x+a)))^n)))/b^2/c^2/d^(5/2)/n^2/ln(F)^2-2*g*polylog(2,1-2*sqrt(d)/(sqrt(d)-sqrt(d+e*(F^(c*(b*x+a)))^n)))/b^2/c^2/d^(5/2)/n^2/ln(F)^2,1],
[(g*x+f)/(d+e*(F^(c*(b*x+a)))^n)^(7/2),x,21,-4/15*g/b^2/c^2/d^2/(d+e*(F^(c*(b*x+a)))^n)^(3/2)/n^2/ln(F)^2-32/15*g/b^2/c^2/d^3/sqrt(d+e*(F^(c*(b*x+a)))^n)/n^2/ln(F)^2+92/15*g*arctanh(sqrt(d+e*(F^(c*(b*x+a)))^n)/sqrt(d))/b^2/c^2/d^(7/2)/n^2/ln(F)^2+2*g*arctanh(sqrt(d+e*(F^(c*(b*x+a)))^n)/sqrt(d))^2/b^2/c^2/d^(7/2)/n^2/ln(F)^2+2/5*(g*x+f)/b/c/d/(d+e*(F^(c*(b*x+a)))^n)^(5/2)/n/ln(F)+2/3*(g*x+f)/b/c/d^2/(d+e*(F^(c*(b*x+a)))^n)^(3/2)/n/ln(F)+2*(g*x+f)/b/c/d^3/sqrt(d+e*(F^(c*(b*x+a)))^n)/n/ln(F)-2*(g*x+f)*arctanh(sqrt(d+e*(F^(c*(b*x+a)))^n)/sqrt(d))/b/c/d^(7/2)/n/ln(F)-4*g*arctanh(sqrt(d+e*(F^(c*(b*x+a)))^n)/sqrt(d))*ln(2*sqrt(d)/(sqrt(d)-sqrt(d+e*(F^(c*(b*x+a)))^n)))/b^2/c^2/d^(7/2)/n^2/ln(F)^2-2*g*polylog(2,1-2*sqrt(d)/(sqrt(d)-sqrt(d+e*(F^(c*(b*x+a)))^n)))/b^2/c^2/d^(7/2)/n^2/ln(F)^2,1],
[(d+e*(F^(c*(b*x+a)))^n)^p*(g*x+f)^m,x,0,Defer(Int)((d+e*(F^(c*(b*x+a)))^n)^p*(g*x+f)^m,x),0],
[(d+e*(F^(c*(b*x+a)))^n)^2*(g*x+f)^m,x,6,d^2*(g*x+f)^(1+m)/g/(1+m)+2^(-1-m)*e^2*F^(2*c*(a-b*f/g)*n-2*c*n*(b*x+a))*(F^(b*c*x+a*c))^(2*n)*(g*x+f)^m*GAMMA(1+m,-2*b*c*n*(g*x+f)*ln(F)/g)/b/c/n/ln(F)/((-b*c*n*(g*x+f)*ln(F)/g)^m)+2*d*e*F^(c*(a-b*f/g)*n-c*n*(b*x+a))*(F^(b*c*x+a*c))^n*(g*x+f)^m*GAMMA(1+m,-b*c*n*(g*x+f)*ln(F)/g)/b/c/n/ln(F)/((-b*c*n*(g*x+f)*ln(F)/g)^m),1],
[(d+e*(F^(c*(b*x+a)))^n)*(g*x+f)^m,x,4,d*(g*x+f)^(1+m)/g/(1+m)+e*F^(c*(a-b*f/g)*n-c*n*(b*x+a))*(F^(b*c*x+a*c))^n*(g*x+f)^m*GAMMA(1+m,-b*c*n*(g*x+f)*ln(F)/g)/b/c/n/ln(F)/((-b*c*n*(g*x+f)*ln(F)/g)^m),1],
[(g*x+f)^m/(d+e*(F^(c*(b*x+a)))^n),x,0,Defer(Int)((g*x+f)^m/(d+e*(F^(c*(b*x+a)))^n),x),0],
[(g*x+f)^m/(d+e*(F^(c*(b*x+a)))^n)^2,x,0,Defer(Int)((g*x+f)^m/(d+e*(F^(c*(b*x+a)))^n)^2,x),0],
[exp(x)/(4+6*exp(x)),x,2,1/6*ln(2+3*exp(x)),1],
[exp(x)/(a+b*exp(x)),x,2,ln(a+b*exp(x))/b,1],
[exp(d*x)/(a+b*exp(d*x+c)),x,3,ln(a+b*exp(d*x+c))/b/d/exp(c),1],
[exp(d*x+c)/(a+b*exp(d*x+c)),x,2,ln(a+b*exp(d*x+c))/b/d,1],
[exp(x)*(a+b*exp(x))^p,x,2,(a+b*exp(x))^(p+1)/b/(p+1),1],
[exp(d*x)*(a+b*exp(d*x+c))^p,x,3,(a+b*exp(d*x+c))^(p+1)/b/d/exp(c)/(p+1),1],
[exp(d*x+c)*(a+b*exp(d*x+c))^p,x,2,(a+b*exp(d*x+c))^(p+1)/b/d/(p+1),1],
[F^x/(a+b*F^x),x,2,ln(a+b*F^x)/b/ln(F),1],
[F^(d*x)/(a+b*F^(d*x+c)),x,3,ln(a+b*F^(d*x+c))/b/d/(F^c)/ln(F),1],
[F^(d*x+c)/(a+b*F^(d*x+c)),x,2,ln(a+b*F^(d*x+c))/b/d/ln(F),1],
[F^x*(a+b*F^x)^p,x,2,(a+b*F^x)^(p+1)/b/(p+1)/ln(F),1],
[F^(d*x)*(a+b*F^(d*x+c))^p,x,3,(a+b*F^(d*x+c))^(p+1)/b/d/(F^c)/(p+1)/ln(F),1],
[F^(d*x+c)*(a+b*F^(d*x+c))^p,x,2,(a+b*F^(d*x+c))^(p+1)/b/d/(p+1)/ln(F),1],
[exp(x)^n*(a+b*exp(x)^n)^p,x,2,(a+b*exp(x)^n)^(p+1)/b/n/(p+1),1],
[exp(n*x)*(a+b*exp(x)^n)^p,x,3,exp(n*x)*(a+b*exp(x)^n)^(p+1)/b/(exp(x)^n)/n/(p+1),1],
[(F^(e*(d*x+c)))^n*(a+b*(F^(e*(d*x+c)))^n)^p,x,2,(a+b*(F^(e*(d*x+c)))^n)^(p+1)/b/d/e/n/(p+1)/ln(F),1],
[(a+b*(F^(e*(d*x+c)))^n)^p*(G^(h*(g*x+f)))^(d*e*n*ln(F)/g/h/ln(G)),x,3,(a+b*(F^(e*(d*x+c)))^n)^(p+1)*(G^(h*(g*x+f)))^(d*e*n*ln(F)/g/h/ln(G))/b/d/e/((F^(e*(d*x+c)))^n)/n/(p+1)/ln(F),1],
[exp(2*x)/(a+b*exp(x)),x,3,exp(x)/b-a*ln(a+b*exp(x))/b^2,1],
[exp(2*x)/(a+b*exp(x))^2,x,3,a/b^2/(a+b*exp(x))+ln(a+b*exp(x))/b^2,1],
[exp(2*x)/(a+b*exp(x))^3,x,2,1/2*exp(2*x)/a/(a+b*exp(x))^2,1],
[exp(2*x)/(a+b*exp(x))^4,x,3,1/3*a/b^2/(a+b*exp(x))^3-1/2/b^2/(a+b*exp(x))^2,1],
[exp(4*x)/(a+b*exp(2*x)),x,3,1/2*exp(2*x)/b-1/2*a*ln(a+b*exp(2*x))/b^2,1],
[exp(4*x)/(a+b*exp(2*x))^2,x,3,1/2*a/b^2/(a+b*exp(2*x))+1/2*ln(a+b*exp(2*x))/b^2,1],
[exp(4*x)/(a+b*exp(2*x))^3,x,2,1/4*exp(4*x)/a/(a+b*exp(2*x))^2,1],
[exp(4*x)/(a+b*exp(2*x))^4,x,3,1/6*a/b^2/(a+b*exp(2*x))^3-1/4/b^2/(a+b*exp(2*x))^2,1],
[exp(4*x)/(a+b*exp(2*x))^(2/3),x,3,-3/2*a*(a+b*exp(2*x))^(1/3)/b^2+3/8*(a+b*exp(2*x))^(4/3)/b^2,1],
[(a+b*exp(n*x))/exp(n*x),x,3,-a/exp(n*x)/n+b*x,1],
[(a+b*exp(n*x))^2/exp(n*x),x,3,-a^2/exp(n*x)/n+b^2*exp(n*x)/n+2*a*b*x,1],
[(a+b*exp(n*x))^3/exp(n*x),x,3,-a^3/exp(n*x)/n+3*a*b^2*exp(n*x)/n+1/2*b^3*exp(2*n*x)/n+3*a^2*b*x,1],
[1/exp(n*x)/(a+b*exp(n*x)),x,3,-1/a/exp(n*x)/n-b*x/a^2+b*ln(a+b*exp(n*x))/a^2/n,1],
[1/exp(n*x)/(a+b*exp(n*x))^2,x,3,-1/a^2/exp(n*x)/n-b/a^2/(a+b*exp(n*x))/n-2*b*x/a^3+2*b*ln(a+b*exp(n*x))/a^3/n,1],
[1/exp(n*x)/(a+b*exp(n*x))^3,x,3,-1/a^3/exp(n*x)/n-1/2*b/a^2/(a+b*exp(n*x))^2/n-2*b/a^3/(a+b*exp(n*x))/n-3*b*x/a^4+3*b*ln(a+b*exp(n*x))/a^4/n,1],
[f^(b*x+a)/(c+d*f^(2*b*x+e)),x,2,f^(a-1/2*e)*arctan(sqrt(d)*f^(1/2*e+b*x)/sqrt(c))/b/sqrt(c)/sqrt(d)/ln(f),1],
[f^(2*b*x+a)/(c+d*f^(2*b*x+e)),x,3,1/2*f^(a-e)*ln(c+d*f^(2*b*x+e))/b/d/ln(f),1],
[f^(3*b*x+a)/(c+d*f^(2*b*x+e)),x,3,f^(b*x+a-e)/b/d/ln(f)-sqrt(c)*f^(a-3/2*e)*arctan(sqrt(d)*f^(1/2*e+b*x)/sqrt(c))/b/d^(3/2)/ln(f),1],
[f^(4*b*x+a)/(c+d*f^(2*b*x+e)),x,3,1/2*f^(2*b*x+a-e)/b/d/ln(f)-1/2*c*f^(a-2*e)*ln(c+d*f^(2*b*x+e))/b/d^2/ln(f),1],
[f^(5*b*x+a)/(c+d*f^(2*b*x+e)),x,4,-c*f^(b*x+a-2*e)/b/d^2/ln(f)+1/3*f^(3*b*x+a-e)/b/d/ln(f)+c^(3/2)*f^(a-5/2*e)*arctan(sqrt(d)*f^(1/2*e+b*x)/sqrt(c))/b/d^(5/2)/ln(f),1],
[exp(x)/(1+exp(2*x)),x,2,arctan(exp(x)),1],
[exp(x)/(1-exp(2*x)),x,2,arctanh(exp(x)),1],
[exp(x)*x/(1-exp(2*x)),x,3,x*arctanh(exp(x))+1/2*polylog(2,-exp(x))-1/2*polylog(2,exp(x)),1],
[exp(x)*x^2/(1-exp(2*x)),x,8,x^2*arctanh(exp(x))+x*polylog(2,-exp(x))-x*polylog(2,exp(x))-polylog(3,-exp(x))+polylog(3,exp(x)),1],
[exp(x)*x^3/(1-exp(2*x)),x,10,x^3*arctanh(exp(x))+3/2*x^2*polylog(2,-exp(x))-3/2*x^2*polylog(2,exp(x))-3*x*polylog(3,-exp(x))+3*x*polylog(3,exp(x))+3*polylog(4,-exp(x))-3*polylog(4,exp(x)),1],
[f^x/(a+b*f^(2*x)),x,2,arctan(sqrt(b)*f^x/sqrt(a))/sqrt(a)/sqrt(b)/ln(f),1],
[f^x*x/(a+b*f^(2*x)),x,6,x*arctan(sqrt(b)*f^x/sqrt(a))/sqrt(a)/sqrt(b)/ln(f)-1/2*I*polylog(2,-I*sqrt(b)*f^x/sqrt(a))/sqrt(a)/sqrt(b)/ln(f)^2+1/2*I*polylog(2,I*sqrt(b)*f^x/sqrt(a))/sqrt(a)/sqrt(b)/ln(f)^2,1],
[f^x*x^2/(a+b*f^(2*x)),x,9,x^2*arctan(sqrt(b)*f^x/sqrt(a))/sqrt(a)/sqrt(b)/ln(f)-I*x*polylog(2,-I*sqrt(b)*f^x/sqrt(a))/sqrt(a)/sqrt(b)/ln(f)^2+I*x*polylog(2,I*sqrt(b)*f^x/sqrt(a))/sqrt(a)/sqrt(b)/ln(f)^2+I*polylog(3,-I*sqrt(b)*f^x/sqrt(a))/sqrt(a)/sqrt(b)/ln(f)^3-I*polylog(3,I*sqrt(b)*f^x/sqrt(a))/sqrt(a)/sqrt(b)/ln(f)^3,1],
[f^x*x^3/(a+b*f^(2*x)),x,11,x^3*arctan(sqrt(b)*f^x/sqrt(a))/sqrt(a)/sqrt(b)/ln(f)-3/2*I*x^2*polylog(2,-I*sqrt(b)*f^x/sqrt(a))/sqrt(a)/sqrt(b)/ln(f)^2+3/2*I*x^2*polylog(2,I*sqrt(b)*f^x/sqrt(a))/sqrt(a)/sqrt(b)/ln(f)^2+3*I*x*polylog(3,-I*sqrt(b)*f^x/sqrt(a))/sqrt(a)/sqrt(b)/ln(f)^3-3*I*x*polylog(3,I*sqrt(b)*f^x/sqrt(a))/sqrt(a)/sqrt(b)/ln(f)^3-3*I*polylog(4,-I*sqrt(b)*f^x/sqrt(a))/sqrt(a)/sqrt(b)/ln(f)^4+3*I*polylog(4,I*sqrt(b)*f^x/sqrt(a))/sqrt(a)/sqrt(b)/ln(f)^4,1],
[f^x/(a+b*f^(2*x))^2,x,3,1/2*f^x/a/(a+b*f^(2*x))/ln(f)+1/2*arctan(sqrt(b)*f^x/sqrt(a))/a^(3/2)/sqrt(b)/ln(f),1],
[f^x*x/(a+b*f^(2*x))^2,x,8,-1/2*arctan(sqrt(b)*f^x/sqrt(a))/a^(3/2)/sqrt(b)/ln(f)^2+1/2*f^x*x/a/(a+b*f^(2*x))/ln(f)+1/2*x*arctan(sqrt(b)*f^x/sqrt(a))/a^(3/2)/sqrt(b)/ln(f)-1/4*I*polylog(2,-I*sqrt(b)*f^x/sqrt(a))/a^(3/2)/sqrt(b)/ln(f)^2+1/4*I*polylog(2,I*sqrt(b)*f^x/sqrt(a))/a^(3/2)/sqrt(b)/ln(f)^2,1],
[f^x*x^2/(a+b*f^(2*x))^2,x,16,-x*arctan(sqrt(b)*f^x/sqrt(a))/a^(3/2)/sqrt(b)/ln(f)^2+1/2*f^x*x^2/a/(a+b*f^(2*x))/ln(f)+1/2*x^2*arctan(sqrt(b)*f^x/sqrt(a))/a^(3/2)/sqrt(b)/ln(f)+1/2*I*polylog(2,-I*sqrt(b)*f^x/sqrt(a))/a^(3/2)/sqrt(b)/ln(f)^3-1/2*I*x*polylog(2,-I*sqrt(b)*f^x/sqrt(a))/a^(3/2)/sqrt(b)/ln(f)^2-1/2*I*polylog(2,I*sqrt(b)*f^x/sqrt(a))/a^(3/2)/sqrt(b)/ln(f)^3+1/2*I*x*polylog(2,I*sqrt(b)*f^x/sqrt(a))/a^(3/2)/sqrt(b)/ln(f)^2+1/2*I*polylog(3,-I*sqrt(b)*f^x/sqrt(a))/a^(3/2)/sqrt(b)/ln(f)^3-1/2*I*polylog(3,I*sqrt(b)*f^x/sqrt(a))/a^(3/2)/sqrt(b)/ln(f)^3,1],
[f^x*x^3/(a+b*f^(2*x))^2,x,21,-3/2*x^2*arctan(sqrt(b)*f^x/sqrt(a))/a^(3/2)/sqrt(b)/ln(f)^2+1/2*f^x*x^3/a/(a+b*f^(2*x))/ln(f)+1/2*x^3*arctan(sqrt(b)*f^x/sqrt(a))/a^(3/2)/sqrt(b)/ln(f)+3/2*I*x*polylog(2,-I*sqrt(b)*f^x/sqrt(a))/a^(3/2)/sqrt(b)/ln(f)^3-3/4*I*x^2*polylog(2,-I*sqrt(b)*f^x/sqrt(a))/a^(3/2)/sqrt(b)/ln(f)^2-3/2*I*x*polylog(2,I*sqrt(b)*f^x/sqrt(a))/a^(3/2)/sqrt(b)/ln(f)^3+3/4*I*x^2*polylog(2,I*sqrt(b)*f^x/sqrt(a))/a^(3/2)/sqrt(b)/ln(f)^2-3/2*I*polylog(3,-I*sqrt(b)*f^x/sqrt(a))/a^(3/2)/sqrt(b)/ln(f)^4+3/2*I*x*polylog(3,-I*sqrt(b)*f^x/sqrt(a))/a^(3/2)/sqrt(b)/ln(f)^3+3/2*I*polylog(3,I*sqrt(b)*f^x/sqrt(a))/a^(3/2)/sqrt(b)/ln(f)^4-3/2*I*x*polylog(3,I*sqrt(b)*f^x/sqrt(a))/a^(3/2)/sqrt(b)/ln(f)^3-3/2*I*polylog(4,-I*sqrt(b)*f^x/sqrt(a))/a^(3/2)/sqrt(b)/ln(f)^4+3/2*I*polylog(4,I*sqrt(b)*f^x/sqrt(a))/a^(3/2)/sqrt(b)/ln(f)^4,1],
[f^x/(a+b*f^(2*x))^3,x,4,1/4*f^x/a/(a+b*f^(2*x))^2/ln(f)+3/8*f^x/a^2/(a+b*f^(2*x))/ln(f)+3/8*arctan(sqrt(b)*f^x/sqrt(a))/a^(5/2)/sqrt(b)/ln(f),1],
[f^x*x/(a+b*f^(2*x))^3,x,11,-1/8*f^x/a^2/(a+b*f^(2*x))/ln(f)^2-1/2*arctan(sqrt(b)*f^x/sqrt(a))/a^(5/2)/sqrt(b)/ln(f)^2+1/4*f^x*x/a/(a+b*f^(2*x))^2/ln(f)+3/8*f^x*x/a^2/(a+b*f^(2*x))/ln(f)+3/8*x*arctan(sqrt(b)*f^x/sqrt(a))/a^(5/2)/sqrt(b)/ln(f)-3/16*I*polylog(2,-I*sqrt(b)*f^x/sqrt(a))/a^(5/2)/sqrt(b)/ln(f)^2+3/16*I*polylog(2,I*sqrt(b)*f^x/sqrt(a))/a^(5/2)/sqrt(b)/ln(f)^2,1],
[f^x*x^2/(a+b*f^(2*x))^3,x,24,1/4*arctan(sqrt(b)*f^x/sqrt(a))/a^(5/2)/sqrt(b)/ln(f)^3-1/4*f^x*x/a^2/(a+b*f^(2*x))/ln(f)^2-x*arctan(sqrt(b)*f^x/sqrt(a))/a^(5/2)/sqrt(b)/ln(f)^2+1/4*f^x*x^2/a/(a+b*f^(2*x))^2/ln(f)+3/8*f^x*x^2/a^2/(a+b*f^(2*x))/ln(f)+3/8*x^2*arctan(sqrt(b)*f^x/sqrt(a))/a^(5/2)/sqrt(b)/ln(f)+1/2*I*polylog(2,-I*sqrt(b)*f^x/sqrt(a))/a^(5/2)/sqrt(b)/ln(f)^3-3/8*I*x*polylog(2,-I*sqrt(b)*f^x/sqrt(a))/a^(5/2)/sqrt(b)/ln(f)^2-1/2*I*polylog(2,I*sqrt(b)*f^x/sqrt(a))/a^(5/2)/sqrt(b)/ln(f)^3+3/8*I*x*polylog(2,I*sqrt(b)*f^x/sqrt(a))/a^(5/2)/sqrt(b)/ln(f)^2+3/8*I*polylog(3,-I*sqrt(b)*f^x/sqrt(a))/a^(5/2)/sqrt(b)/ln(f)^3-3/8*I*polylog(3,I*sqrt(b)*f^x/sqrt(a))/a^(5/2)/sqrt(b)/ln(f)^3,1],
[1/(b/(f^x)+a*f^x),x,2,arctan(sqrt(a)*f^x/sqrt(b))/sqrt(a)/sqrt(b)/ln(f),1],
[x/(b/(f^x)+a*f^x),x,6,x*arctan(sqrt(a)*f^x/sqrt(b))/sqrt(a)/sqrt(b)/ln(f)-1/2*I*polylog(2,-I*sqrt(a)*f^x/sqrt(b))/sqrt(a)/sqrt(b)/ln(f)^2+1/2*I*polylog(2,I*sqrt(a)*f^x/sqrt(b))/sqrt(a)/sqrt(b)/ln(f)^2,1],
[x^2/(b/(f^x)+a*f^x),x,9,x^2*arctan(sqrt(a)*f^x/sqrt(b))/sqrt(a)/sqrt(b)/ln(f)-I*x*polylog(2,-I*sqrt(a)*f^x/sqrt(b))/sqrt(a)/sqrt(b)/ln(f)^2+I*x*polylog(2,I*sqrt(a)*f^x/sqrt(b))/sqrt(a)/sqrt(b)/ln(f)^2+I*polylog(3,-I*sqrt(a)*f^x/sqrt(b))/sqrt(a)/sqrt(b)/ln(f)^3-I*polylog(3,I*sqrt(a)*f^x/sqrt(b))/sqrt(a)/sqrt(b)/ln(f)^3,1],
[x^3/(b/(f^x)+a*f^x),x,11,x^3*arctan(sqrt(a)*f^x/sqrt(b))/sqrt(a)/sqrt(b)/ln(f)-3/2*I*x^2*polylog(2,-I*sqrt(a)*f^x/sqrt(b))/sqrt(a)/sqrt(b)/ln(f)^2+3/2*I*x^2*polylog(2,I*sqrt(a)*f^x/sqrt(b))/sqrt(a)/sqrt(b)/ln(f)^2+3*I*x*polylog(3,-I*sqrt(a)*f^x/sqrt(b))/sqrt(a)/sqrt(b)/ln(f)^3-3*I*x*polylog(3,I*sqrt(a)*f^x/sqrt(b))/sqrt(a)/sqrt(b)/ln(f)^3-3*I*polylog(4,-I*sqrt(a)*f^x/sqrt(b))/sqrt(a)/sqrt(b)/ln(f)^4+3*I*polylog(4,I*sqrt(a)*f^x/sqrt(b))/sqrt(a)/sqrt(b)/ln(f)^4,1],
[1/(b/(f^x)+a*f^x)^2,x,2,-1/2/a/(b+a*f^(2*x))/ln(f),1],
[x/(b/(f^x)+a*f^x)^2,x,5,1/2*x/a/b/ln(f)-1/2*x/a/(b+a*f^(2*x))/ln(f)-1/4*ln(b+a*f^(2*x))/a/b/ln(f)^2,1],
[x^2/(b/(f^x)+a*f^x)^2,x,6,1/2*x^2/a/b/ln(f)-1/2*x^2/a/(b+a*f^(2*x))/ln(f)-1/2*x*ln(1+a*f^(2*x)/b)/a/b/ln(f)^2-1/4*polylog(2,-a*f^(2*x)/b)/a/b/ln(f)^3,1],
[x^3/(b/(f^x)+a*f^x)^2,x,7,1/2*x^3/a/b/ln(f)-1/2*x^3/a/(b+a*f^(2*x))/ln(f)-3/4*x^2*ln(1+a*f^(2*x)/b)/a/b/ln(f)^2-3/4*x*polylog(2,-a*f^(2*x)/b)/a/b/ln(f)^3+3/8*polylog(3,-a*f^(2*x)/b)/a/b/ln(f)^4,1],
[1/(b/(f^x)+a*f^x)^3,x,4,-1/4*f^x/a/(b+a*f^(2*x))^2/ln(f)+1/8*f^x/a/b/(b+a*f^(2*x))/ln(f)+1/8*arctan(sqrt(a)*f^x/sqrt(b))/a^(3/2)/b^(3/2)/ln(f),1],
[x/(b/(f^x)+a*f^x)^3,x,22,1/8*f^x/a/b/(b+a*f^(2*x))/ln(f)^2-1/4*f^x*x/a/(b+a*f^(2*x))^2/ln(f)+1/8*f^x*x/a/b/(b+a*f^(2*x))/ln(f)+1/8*x*arctan(sqrt(a)*f^x/sqrt(b))/a^(3/2)/b^(3/2)/ln(f)-1/16*I*polylog(2,-I*sqrt(a)*f^x/sqrt(b))/a^(3/2)/b^(3/2)/ln(f)^2+1/16*I*polylog(2,I*sqrt(a)*f^x/sqrt(b))/a^(3/2)/b^(3/2)/ln(f)^2,1],
[x^2/(b/(f^x)+a*f^x)^3,x,43,-1/4*arctan(sqrt(a)*f^x/sqrt(b))/a^(3/2)/b^(3/2)/ln(f)^3+1/4*f^x*x/a/b/(b+a*f^(2*x))/ln(f)^2-1/4*f^x*x^2/a/(b+a*f^(2*x))^2/ln(f)+1/8*f^x*x^2/a/b/(b+a*f^(2*x))/ln(f)+1/8*x^2*arctan(sqrt(a)*f^x/sqrt(b))/a^(3/2)/b^(3/2)/ln(f)-1/8*I*x*polylog(2,-I*sqrt(a)*f^x/sqrt(b))/a^(3/2)/b^(3/2)/ln(f)^2+1/8*I*x*polylog(2,I*sqrt(a)*f^x/sqrt(b))/a^(3/2)/b^(3/2)/ln(f)^2+1/8*I*polylog(3,-I*sqrt(a)*f^x/sqrt(b))/a^(3/2)/b^(3/2)/ln(f)^3-1/8*I*polylog(3,I*sqrt(a)*f^x/sqrt(b))/a^(3/2)/b^(3/2)/ln(f)^3,1],
[f^(c*x^2+b*x+a)*g^(f*x^2+e*x+d),x,3,1/2*f^a*g^d*sqrt(Pi)*erfi(1/2*(b*ln(f)+e*ln(g)+2*x*(c*ln(f)+f*ln(g)))/sqrt(c*ln(f)+f*ln(g)))/exp((b*ln(f)+e*ln(g))^2/(4*c*ln(f)+4*f*ln(g)))/sqrt(c*ln(f)+f*ln(g)),1],
[F^(e*(d*x+c))*(a+b*G^(h*(g*x+f)))^n,x,2,F^(e*(d*x+c))*(a+b*G^(h*(g*x+f)))^n*hypergeom([-n, d*e*ln(F)/g/h/ln(G)],[1+d*e*ln(F)/g/h/ln(G)],-b*G^(h*(g*x+f))/a)/d/e/((1+b*G^(h*(g*x+f))/a)^n)/ln(F),1],
[F^(e*(d*x+c))*H^(t*(s*x+r))/(a+b*F^(e*(d*x+c))),x,2,H^(t*(s*x+r))*hypergeom([1, -s*t*ln(H)/d/e/ln(F)],[1-s*t*ln(H)/d/e/ln(F)],-a/b/(F^(e*(d*x+c))))/b/s/t/ln(H),1],
[F^(e*(d*x+f))*H^(t*(s*x+r))/(a+b*F^(e*(d*x+c))),x,2,H^(t*(s*x+r))*hypergeom([1, -s*t*ln(H)/d/e/ln(F)],[1-s*t*ln(H)/d/e/ln(F)],-a/b/(F^(e*(d*x+c))))/b/(F^(e*(c-f)))/s/t/ln(H),1]]: