lst:=[[x^3*(e*x+d)*(a+b*ln(c*x^n)),x,4,-1/16*b*d*n*x^4-1/25*b*e*n*x^5+1/20*(4*e*x^5+5*d*x^4)*(a+b*ln(c*x^n)),1],
[x^2*(e*x+d)*(a+b*ln(c*x^n)),x,4,-1/9*b*d*n*x^3-1/16*b*e*n*x^4+1/12*(3*e*x^4+4*d*x^3)*(a+b*ln(c*x^n)),1],
[x*(e*x+d)*(a+b*ln(c*x^n)),x,4,-1/4*b*d*n*x^2-1/9*b*e*n*x^3+1/6*(2*e*x^3+3*d*x^2)*(a+b*ln(c*x^n)),1],
[(e*x+d)*(a+b*ln(c*x^n)),x,4,-b*d*n*x-1/4*b*e*n*x^2-1/2*b*d^2*n*ln(x)/e+1/2*(e*x+d)^2*(a+b*ln(c*x^n))/e,1],
[(e*x+d)*(a+b*ln(c*x^n))/x,x,4,a*e*x-b*e*n*x+b*e*x*ln(c*x^n)+1/2*d*(a+b*ln(c*x^n))^2/b/n,1],
[(e*x+d)*(a+b*ln(c*x^n))/x^2,x,4,-b*d*n/x-d*(a+b*ln(c*x^n))/x+1/2*e*(a+b*ln(c*x^n))^2/b/n,1],
[(e*x+d)*(a+b*ln(c*x^n))/x^3,x,4,-1/4*b*d*n/x^2-b*e*n/x+1/2*b*e^2*n*ln(x)/d-1/2*(e*x+d)^2*(a+b*ln(c*x^n))/d/x^2,1],
[(e*x+d)*(a+b*ln(c*x^n))/x^4,x,4,-1/9*b*d*n/x^3-1/4*b*e*n/x^2-1/3*d*(a+b*ln(c*x^n))/x^3-1/2*e*(a+b*ln(c*x^n))/x^2,1],
[x^3*(e*x+d)^2*(a+b*ln(c*x^n)),x,4,-1/16*b*d^2*n*x^4-2/25*b*d*e*n*x^5-1/36*b*e^2*n*x^6+1/60*(10*e^2*x^6+24*d*e*x^5+15*d^2*x^4)*(a+b*ln(c*x^n)),1],
[x^2*(e*x+d)^2*(a+b*ln(c*x^n)),x,4,-1/9*b*d^2*n*x^3-1/8*b*d*e*n*x^4-1/25*b*e^2*n*x^5+1/30*(6*e^2*x^5+15*d*e*x^4+10*d^2*x^3)*(a+b*ln(c*x^n)),1],
[x*(e*x+d)^2*(a+b*ln(c*x^n)),x,4,-1/4*b*d^2*n*x^2-2/9*b*d*e*n*x^3-1/16*b*e^2*n*x^4+1/12*(3*e^2*x^4+8*d*e*x^3+6*d^2*x^2)*(a+b*ln(c*x^n)),1],
[(e*x+d)^2*(a+b*ln(c*x^n)),x,4,-b*d^2*n*x-1/2*b*d*e*n*x^2-1/9*b*e^2*n*x^3-1/3*b*d^3*n*ln(x)/e+1/3*(e*x+d)^3*(a+b*ln(c*x^n))/e,1],
[(e*x+d)^2*(a+b*ln(c*x^n))/x,x,3,-1/4*b*n*(e*x+4*d)^2-1/2*b*d^2*n*ln(x)^2+2*d*e*x*(a+b*ln(c*x^n))+1/2*e^2*x^2*(a+b*ln(c*x^n))+d^2*ln(x)*(a+b*ln(c*x^n)),1],
[(e*x+d)^2*(a+b*ln(c*x^n))/x^2,x,3,-b*d^2*n/x-b*e^2*n*x-b*d*e*n*ln(x)^2-d^2*(a+b*ln(c*x^n))/x+e^2*x*(a+b*ln(c*x^n))+2*d*e*ln(x)*(a+b*ln(c*x^n)),1],
[(e*x+d)^2*(a+b*ln(c*x^n))/x^3,x,4,-1/4*b*n*(4*e*x+d)^2/x^2-1/2*b*e^2*n*ln(x)^2-1/2*d^2*(a+b*ln(c*x^n))/x^2-2*d*e*(a+b*ln(c*x^n))/x+e^2*ln(x)*(a+b*ln(c*x^n)),1],
[(e*x+d)^2*(a+b*ln(c*x^n))/x^4,x,4,-1/9*b*d^2*n/x^3-1/2*b*d*e*n/x^2-b*e^2*n/x+1/3*b*e^3*n*ln(x)/d-1/3*(e*x+d)^3*(a+b*ln(c*x^n))/d/x^3,1],
[(e*x+d)^2*(a+b*ln(c*x^n))/x^5,x,4,-1/16*b*d^2*n/x^4-2/9*b*d*e*n/x^3-1/4*b*e^2*n/x^2-1/4*d^2*(a+b*ln(c*x^n))/x^4-2/3*d*e*(a+b*ln(c*x^n))/x^3-1/2*e^2*(a+b*ln(c*x^n))/x^2,1],
[(e*x+d)^2*(a+b*ln(c*x^n))/x^6,x,4,-1/25*b*d^2*n/x^5-1/8*b*d*e*n/x^4-1/9*b*e^2*n/x^3-1/5*d^2*(a+b*ln(c*x^n))/x^5-1/2*d*e*(a+b*ln(c*x^n))/x^4-1/3*e^2*(a+b*ln(c*x^n))/x^3,1],
[x^3*(e*x+d)^3*(a+b*ln(c*x^n)),x,4,-1/16*b*d^3*n*x^4-3/25*b*d^2*e*n*x^5-1/12*b*d*e^2*n*x^6-1/49*b*e^3*n*x^7+1/140*(20*e^3*x^7+70*d*e^2*x^6+84*d^2*e*x^5+35*d^3*x^4)*(a+b*ln(c*x^n)),1],
[x^2*(e*x+d)^3*(a+b*ln(c*x^n)),x,4,-1/9*b*d^3*n*x^3-3/16*b*d^2*e*n*x^4-3/25*b*d*e^2*n*x^5-1/36*b*e^3*n*x^6+1/60*(10*e^3*x^6+36*d*e^2*x^5+45*d^2*e*x^4+20*d^3*x^3)*(a+b*ln(c*x^n)),1],
[x*(e*x+d)^3*(a+b*ln(c*x^n)),x,5,1/5*b*d^4*n*x/e+3/20*b*d^3*n*x^2+1/15*b*d^2*e*n*x^3+1/80*b*d*e^2*n*x^4-1/25*b*n*(e*x+d)^5/e^2+1/20*b*d^5*n*ln(x)/e^2-1/20*(5*d*(e*x+d)^4/e^2-4*(e*x+d)^5/e^2)*(a+b*ln(c*x^n)),1],
[(e*x+d)^3*(a+b*ln(c*x^n)),x,4,-b*d^3*n*x-3/4*b*d^2*e*n*x^2-1/3*b*d*e^2*n*x^3-1/16*b*e^3*n*x^4-1/4*b*d^4*n*ln(x)/e+1/4*(e*x+d)^4*(a+b*ln(c*x^n))/e,1],
[(e*x+d)^3*(a+b*ln(c*x^n))/x,x,4,-3*b*d^2*e*n*x-3/4*b*d*e^2*n*x^2-1/9*b*e^3*n*x^3-1/2*b*d^3*n*ln(x)^2+3*d^2*e*x*(a+b*ln(c*x^n))+3/2*d*e^2*x^2*(a+b*ln(c*x^n))+1/3*e^3*x^3*(a+b*ln(c*x^n))+d^3*ln(x)*(a+b*ln(c*x^n)),1],
[(e*x+d)^3*(a+b*ln(c*x^n))/x^2,x,3,-b*d^3*n/x-3*b*d*e^2*n*x-1/4*b*e^3*n*x^2-3/2*b*d^2*e*n*ln(x)^2-d^3*(a+b*ln(c*x^n))/x+3*d*e^2*x*(a+b*ln(c*x^n))+1/2*e^3*x^2*(a+b*ln(c*x^n))+3*d^2*e*ln(x)*(a+b*ln(c*x^n)),1],
[(e*x+d)^3*(a+b*ln(c*x^n))/x^3,x,3,-1/4*b*d^3*n/x^2-3*b*d^2*e*n/x-b*e^3*n*x-3/2*b*d*e^2*n*ln(x)^2-1/2*d^3*(a+b*ln(c*x^n))/x^2-3*d^2*e*(a+b*ln(c*x^n))/x+e^3*x*(a+b*ln(c*x^n))+3*d*e^2*ln(x)*(a+b*ln(c*x^n)),1],
[(e*x+d)^3*(a+b*ln(c*x^n))/x^4,x,5,-1/9*b*d^3*n/x^3-3/4*b*d^2*e*n/x^2-3*b*d*e^2*n/x-1/2*b*e^3*n*ln(x)^2-1/3*d^3*(a+b*ln(c*x^n))/x^3-3/2*d^2*e*(a+b*ln(c*x^n))/x^2-3*d*e^2*(a+b*ln(c*x^n))/x+e^3*ln(x)*(a+b*ln(c*x^n)),1],
[(e*x+d)^3*(a+b*ln(c*x^n))/x^5,x,4,-1/16*b*d^3*n/x^4-1/3*b*d^2*e*n/x^3-3/4*b*d*e^2*n/x^2-b*e^3*n/x+1/4*b*e^4*n*ln(x)/d-1/4*(e*x+d)^4*(a+b*ln(c*x^n))/d/x^4,1],
[(e*x+d)^3*(a+b*ln(c*x^n))/x^6,x,5,1/80*b*d^2*e*n/x^4+1/15*b*d*e^2*n/x^3+3/20*b*e^3*n/x^2+1/5*b*e^4*n/d/x-1/25*b*n*(e*x+d)^5/d^2/x^5-1/20*b*e^5*n*ln(x)/d^2-1/5*(e*x+d)^4*(a+b*ln(c*x^n))/d/x^5+1/20*e*(e*x+d)^4*(a+b*ln(c*x^n))/d^2/x^4,1],
[(e*x+d)^3*(a+b*ln(c*x^n))/x^7,x,4,-1/36*b*d^3*n/x^6-3/25*b*d^2*e*n/x^5-3/16*b*d*e^2*n/x^4-1/9*b*e^3*n/x^3-1/6*d^3*(a+b*ln(c*x^n))/x^6-3/5*d^2*e*(a+b*ln(c*x^n))/x^5-3/4*d*e^2*(a+b*ln(c*x^n))/x^4-1/3*e^3*(a+b*ln(c*x^n))/x^3,1],
[(e*x+d)^3*(a+b*ln(c*x^n))/x^8,x,4,-1/49*b*d^3*n/x^7-1/12*b*d^2*e*n/x^6-3/25*b*d*e^2*n/x^5-1/16*b*e^3*n/x^4-1/7*d^3*(a+b*ln(c*x^n))/x^7-1/2*d^2*e*(a+b*ln(c*x^n))/x^6-3/5*d*e^2*(a+b*ln(c*x^n))/x^5-1/4*e^3*(a+b*ln(c*x^n))/x^4,1],
[x^3*(a+b*ln(c*x^n))/(e*x+d),x,8,a*d^2*x/e^3-b*d^2*n*x/e^3+1/4*b*d*n*x^2/e^2-1/9*b*n*x^3/e+b*d^2*x*ln(c*x^n)/e^3-1/2*d*x^2*(a+b*ln(c*x^n))/e^2+1/3*x^3*(a+b*ln(c*x^n))/e-d^3*(a+b*ln(c*x^n))*ln(1+e*x/d)/e^4-b*d^3*n*polylog(2,-e*x/d)/e^4,1],
[x^2*(a+b*ln(c*x^n))/(e*x+d),x,7,-a*d*x/e^2+b*d*n*x/e^2-1/4*b*n*x^2/e-b*d*x*ln(c*x^n)/e^2+1/2*x^2*(a+b*ln(c*x^n))/e+d^2*(a+b*ln(c*x^n))*ln(1+e*x/d)/e^3+b*d^2*n*polylog(2,-e*x/d)/e^3,1],
[x*(a+b*ln(c*x^n))/(e*x+d),x,6,a*x/e-b*n*x/e+b*x*ln(c*x^n)/e-d*(a+b*ln(c*x^n))*ln(1+e*x/d)/e^2-b*d*n*polylog(2,-e*x/d)/e^2,1],
[(a+b*ln(c*x^n))/(e*x+d),x,2,(a+b*ln(c*x^n))*ln(1+e*x/d)/e+b*n*polylog(2,-e*x/d)/e,1],
[(a+b*ln(c*x^n))/x/(e*x+d),x,2,-ln(1+d/e/x)*(a+b*ln(c*x^n))/d+b*n*polylog(2,-d/e/x)/d,1],
[(a+b*ln(c*x^n))/x^2/(e*x+d),x,4,-b*n/d/x-(a+b*ln(c*x^n))/d/x+e*ln(1+d/e/x)*(a+b*ln(c*x^n))/d^2-b*e*n*polylog(2,-d/e/x)/d^2,1],
[(a+b*ln(c*x^n))/x^3/(e*x+d),x,6,-1/4*b*n/d/x^2+b*e*n/d^2/x-1/2*(a+b*ln(c*x^n))/d/x^2+e*(a+b*ln(c*x^n))/d^2/x-e^2*ln(1+d/e/x)*(a+b*ln(c*x^n))/d^3+b*e^2*n*polylog(2,-d/e/x)/d^3,1],
[(a+b*ln(c*x^n))/x^4/(e*x+d),x,8,-1/9*b*n/d/x^3+1/4*b*e*n/d^2/x^2-b*e^2*n/d^3/x-1/3*(a+b*ln(c*x^n))/d/x^3+1/2*e*(a+b*ln(c*x^n))/d^2/x^2-e^2*(a+b*ln(c*x^n))/d^3/x+e^3*ln(1+d/e/x)*(a+b*ln(c*x^n))/d^4-b*e^3*n*polylog(2,-d/e/x)/d^4,1],
[x^3*(a+b*ln(c*x^n))/(e*x+d)^2,x,8,3*b*d*n*x/e^3-d*(b*n+3*a)*x/e^3-3/4*b*n*x^2/e^2-3*b*d*x*ln(c*x^n)/e^3-x^3*(a+b*ln(c*x^n))/e/(e*x+d)+1/2*x^2*(3*a+b*n+3*b*ln(c*x^n))/e^2+d^2*(3*a+b*n+3*b*ln(c*x^n))*ln(1+e*x/d)/e^4+3*b*d^2*n*polylog(2,-e*x/d)/e^4,1],
[x^2*(a+b*ln(c*x^n))/(e*x+d)^2,x,7,-b*n*x/e^2+2*x*(a+b*ln(c*x^n))/e^2-x^2*(a+b*ln(c*x^n))/e/(e*x+d)-d*(2*a+b*n+2*b*ln(c*x^n))*ln(1+e*x/d)/e^3-2*b*d*n*polylog(2,-e*x/d)/e^3,1],
[x*(a+b*ln(c*x^n))/(e*x+d)^2,x,3,-x*(a+b*ln(c*x^n))/e/(e*x+d)+(a+b*n+b*ln(c*x^n))*ln(1+e*x/d)/e^2+b*n*polylog(2,-e*x/d)/e^2,1],
[(a+b*ln(c*x^n))/(e*x+d)^2,x,2,x*(a+b*ln(c*x^n))/d/(e*x+d)-b*n*ln(e*x+d)/d/e,1],
[(a+b*ln(c*x^n))/x/(e*x+d)^2,x,5,-e*x*(a+b*ln(c*x^n))/d^2/(e*x+d)-ln(1+d/e/x)*(a+b*ln(c*x^n))/d^2+b*n*ln(e*x+d)/d^2+b*n*polylog(2,-d/e/x)/d^2,1],
[(a+b*ln(c*x^n))/x^2/(e*x+d)^2,x,7,-b*n/d^2/x-(a+b*ln(c*x^n))/d^2/x+e^2*x*(a+b*ln(c*x^n))/d^3/(e*x+d)+2*e*ln(1+d/e/x)*(a+b*ln(c*x^n))/d^3-b*e*n*ln(e*x+d)/d^3-2*b*e*n*polylog(2,-d/e/x)/d^3,1],
[(a+b*ln(c*x^n))/x^3/(e*x+d)^2,x,8,-1/4*b*n/d^2/x^2+2*b*e*n/d^3/x-1/2*(a+b*ln(c*x^n))/d^2/x^2+2*e*(a+b*ln(c*x^n))/d^3/x-e^3*x*(a+b*ln(c*x^n))/d^4/(e*x+d)-3*e^2*ln(1+d/e/x)*(a+b*ln(c*x^n))/d^4+b*e^2*n*ln(e*x+d)/d^4+3*b*e^2*n*polylog(2,-d/e/x)/d^4,1],
[x^3*(a+b*ln(c*x^n))/(e*x+d)^3,x,8,-3*b*n*x/e^3+1/2*(5*b*n+6*a)*x/e^3+3*b*x*ln(c*x^n)/e^3-1/2*x^3*(a+b*ln(c*x^n))/e/(e*x+d)^2-1/2*x^2*(3*a+b*n+3*b*ln(c*x^n))/e^2/(e*x+d)-1/2*d*(6*a+5*b*n+6*b*ln(c*x^n))*ln(1+e*x/d)/e^4-3*b*d*n*polylog(2,-e*x/d)/e^4,1],
[x^2*(a+b*ln(c*x^n))/(e*x+d)^3,x,4,-1/2*x^2*(a+b*ln(c*x^n))/e/(e*x+d)^2-1/2*x*(2*a+b*n+2*b*ln(c*x^n))/e^2/(e*x+d)+1/2*(2*a+3*b*n+2*b*ln(c*x^n))*ln(1+e*x/d)/e^3+b*n*polylog(2,-e*x/d)/e^3,1],
[x*(a+b*ln(c*x^n))/(e*x+d)^3,x,3,-1/2*b*n/e^2/(e*x+d)+1/2*x^2*(a+b*ln(c*x^n))/d/(e*x+d)^2-1/2*b*n*ln(e*x+d)/d/e^2,1],
[(a+b*ln(c*x^n))/(e*x+d)^3,x,3,1/2*b*n/d/e/(e*x+d)+1/2*b*n*ln(x)/d^2/e-1/2*(a+b*ln(c*x^n))/e/(e*x+d)^2-1/2*b*n*ln(e*x+d)/d^2/e,1],
[(a+b*ln(c*x^n))/x/(e*x+d)^3,x,9,-1/2*b*n/d^2/(e*x+d)-1/2*b*n*ln(x)/d^3+1/2*(a+b*ln(c*x^n))/d/(e*x+d)^2-e*x*(a+b*ln(c*x^n))/d^3/(e*x+d)-ln(1+d/e/x)*(a+b*ln(c*x^n))/d^3+3/2*b*n*ln(e*x+d)/d^3+b*n*polylog(2,-d/e/x)/d^3,1],
[(a+b*ln(c*x^n))/x^2/(e*x+d)^3,x,10,-b*n/d^3/x+1/2*b*e*n/d^3/(e*x+d)+1/2*b*e*n*ln(x)/d^4-(a+b*ln(c*x^n))/d^3/x-1/2*e*(a+b*ln(c*x^n))/d^2/(e*x+d)^2+2*e^2*x*(a+b*ln(c*x^n))/d^4/(e*x+d)+3*e*ln(1+d/e/x)*(a+b*ln(c*x^n))/d^4-5/2*b*e*n*ln(e*x+d)/d^4-3*b*e*n*polylog(2,-d/e/x)/d^4,1],
[(a+b*ln(c*x^n))/x^3/(e*x+d)^3,x,11,-1/4*b*n/d^3/x^2+3*b*e*n/d^4/x-1/2*b*e^2*n/d^4/(e*x+d)-1/2*b*e^2*n*ln(x)/d^5-1/2*(a+b*ln(c*x^n))/d^3/x^2+3*e*(a+b*ln(c*x^n))/d^4/x+1/2*e^2*(a+b*ln(c*x^n))/d^3/(e*x+d)^2-3*e^3*x*(a+b*ln(c*x^n))/d^5/(e*x+d)-6*e^2*ln(1+d/e/x)*(a+b*ln(c*x^n))/d^5+7/2*b*e^2*n*ln(e*x+d)/d^5+6*b*e^2*n*polylog(2,-d/e/x)/d^5,1],
[x^5*(a+b*ln(c*x^n))/(e*x+d)^4,x,10,10*b*d*n*x/e^5-1/6*d*(47*b*n+60*a)*x/e^5-5/2*b*n*x^2/e^4-10*b*d*x*ln(c*x^n)/e^5-1/3*x^5*(a+b*ln(c*x^n))/e/(e*x+d)^3-1/6*x^4*(5*a+b*n+5*b*ln(c*x^n))/e^2/(e*x+d)^2-1/6*x^3*(20*a+9*b*n+20*b*ln(c*x^n))/e^3/(e*x+d)+1/12*x^2*(60*a+47*b*n+60*b*ln(c*x^n))/e^4+1/6*d^2*(60*a+47*b*n+60*b*ln(c*x^n))*ln(1+e*x/d)/e^6+10*b*d^2*n*polylog(2,-e*x/d)/e^6,1],
[x^4*(a+b*ln(c*x^n))/(e*x+d)^4,x,9,-4*b*n*x/e^4+1/3*(13*b*n+12*a)*x/e^4+4*b*x*ln(c*x^n)/e^4-1/3*x^4*(a+b*ln(c*x^n))/e/(e*x+d)^3-1/6*x^3*(4*a+b*n+4*b*ln(c*x^n))/e^2/(e*x+d)^2-1/6*x^2*(12*a+7*b*n+12*b*ln(c*x^n))/e^3/(e*x+d)-1/3*d*(12*a+13*b*n+12*b*ln(c*x^n))*ln(1+e*x/d)/e^5-4*b*d*n*polylog(2,-e*x/d)/e^5,1],
[x^3*(a+b*ln(c*x^n))/(e*x+d)^4,x,5,-1/3*x^3*(a+b*ln(c*x^n))/e/(e*x+d)^3-1/6*x^2*(3*a+b*n+3*b*ln(c*x^n))/e^2/(e*x+d)^2-1/6*x*(6*a+5*b*n+6*b*ln(c*x^n))/e^3/(e*x+d)+1/6*(6*a+11*b*n+6*b*ln(c*x^n))*ln(1+e*x/d)/e^4+b*n*polylog(2,-e*x/d)/e^4,1],
[x^2*(a+b*ln(c*x^n))/(e*x+d)^4,x,3,1/6*b*d*n/e^3/(e*x+d)^2-2/3*b*n/e^3/(e*x+d)+1/3*x^3*(a+b*ln(c*x^n))/d/(e*x+d)^3-1/3*b*n*ln(e*x+d)/d/e^3,1],
[x*(a+b*ln(c*x^n))/(e*x+d)^4,x,4,-1/6*b*n/e^2/(e*x+d)^2+1/6*b*n/d/e^2/(e*x+d)+1/6*b*n*ln(x)/d^2/e^2+1/3*d*(a+b*ln(c*x^n))/e^2/(e*x+d)^3-1/2*(a+b*ln(c*x^n))/e^2/(e*x+d)^2-1/6*b*n*ln(e*x+d)/d^2/e^2,1],
[(a+b*ln(c*x^n))/(e*x+d)^4,x,3,1/6*b*n/d/e/(e*x+d)^2+1/3*b*n/d^2/e/(e*x+d)+1/3*b*n*ln(x)/d^3/e-1/3*(a+b*ln(c*x^n))/e/(e*x+d)^3-1/3*b*n*ln(e*x+d)/d^3/e,1],
[(a+b*ln(c*x^n))/x/(e*x+d)^4,x,13,-1/6*b*n/d^2/(e*x+d)^2-5/6*b*n/d^3/(e*x+d)-5/6*b*n*ln(x)/d^4+1/3*(a+b*ln(c*x^n))/d/(e*x+d)^3+1/2*(a+b*ln(c*x^n))/d^2/(e*x+d)^2-e*x*(a+b*ln(c*x^n))/d^4/(e*x+d)-ln(1+d/e/x)*(a+b*ln(c*x^n))/d^4+11/6*b*n*ln(e*x+d)/d^4+b*n*polylog(2,-d/e/x)/d^4,1],
[(a+b*ln(c*x^n))/x^2/(e*x+d)^4,x,13,-b*n/d^4/x+1/6*b*e*n/d^3/(e*x+d)^2+4/3*b*e*n/d^4/(e*x+d)+4/3*b*e*n*ln(x)/d^5-(a+b*ln(c*x^n))/d^4/x-1/3*e*(a+b*ln(c*x^n))/d^2/(e*x+d)^3-e*(a+b*ln(c*x^n))/d^3/(e*x+d)^2+3*e^2*x*(a+b*ln(c*x^n))/d^5/(e*x+d)+4*e*ln(1+d/e/x)*(a+b*ln(c*x^n))/d^5-13/3*b*e*n*ln(e*x+d)/d^5-4*b*e*n*polylog(2,-d/e/x)/d^5,1],
[(a+b*ln(c*x^n))/x^3/(e*x+d)^4,x,14,-1/4*b*n/d^4/x^2+4*b*e*n/d^5/x-1/6*b*e^2*n/d^4/(e*x+d)^2-11/6*b*e^2*n/d^5/(e*x+d)-11/6*b*e^2*n*ln(x)/d^6-1/2*(a+b*ln(c*x^n))/d^4/x^2+4*e*(a+b*ln(c*x^n))/d^5/x+1/3*e^2*(a+b*ln(c*x^n))/d^3/(e*x+d)^3+3/2*e^2*(a+b*ln(c*x^n))/d^4/(e*x+d)^2-6*e^3*x*(a+b*ln(c*x^n))/d^6/(e*x+d)-10*e^2*ln(1+d/e/x)*(a+b*ln(c*x^n))/d^6+47/6*b*e^2*n*ln(e*x+d)/d^6+10*b*e^2*n*polylog(2,-d/e/x)/d^6,1],
[x^8*(a+b*ln(c*x^n))/(e*x+d)^7,x,13,28*b*d*n*x/e^8-1/10*d*(341*b*n+280*a)*x/e^8-7*b*n*x^2/e^7-28*b*d*x*ln(c*x^n)/e^8-1/6*x^8*(a+b*ln(c*x^n))/e/(e*x+d)^6-1/30*x^7*(8*a+b*n+8*b*ln(c*x^n))/e^2/(e*x+d)^5-1/120*x^6*(56*a+15*b*n+56*b*ln(c*x^n))/e^3/(e*x+d)^4-1/180*x^5*(168*a+73*b*n+168*b*ln(c*x^n))/e^4/(e*x+d)^3+1/20*x^2*(280*a+341*b*n+280*b*ln(c*x^n))/e^7-1/360*x^4*(840*a+533*b*n+840*b*ln(c*x^n))/e^5/(e*x+d)^2-1/90*x^3*(840*a+743*b*n+840*b*ln(c*x^n))/e^6/(e*x+d)+1/10*d^2*(280*a+341*b*n+280*b*ln(c*x^n))*ln(1+e*x/d)/e^9+28*b*d^2*n*polylog(2,-e*x/d)/e^9,1],
[x^7*(a+b*ln(c*x^n))/(e*x+d)^7,x,12,-7*b*n*x/e^7+1/20*(223*b*n+140*a)*x/e^7+7*b*x*ln(c*x^n)/e^7-1/6*x^7*(a+b*ln(c*x^n))/e/(e*x+d)^6-1/30*x^6*(7*a+b*n+7*b*ln(c*x^n))/e^2/(e*x+d)^5-1/120*x^5*(42*a+13*b*n+42*b*ln(c*x^n))/e^3/(e*x+d)^4-1/40*x^2*(140*a+153*b*n+140*b*ln(c*x^n))/e^6/(e*x+d)-1/360*x^4*(210*a+107*b*n+210*b*ln(c*x^n))/e^4/(e*x+d)^3-1/360*x^3*(420*a+319*b*n+420*b*ln(c*x^n))/e^5/(e*x+d)^2-1/20*d*(140*a+223*b*n+140*b*ln(c*x^n))*ln(1+e*x/d)/e^8-7*b*d*n*polylog(2,-e*x/d)/e^8,1],
[x^6*(a+b*ln(c*x^n))/(e*x+d)^7,x,8,-1/6*x^6*(a+b*ln(c*x^n))/e/(e*x+d)^6-1/30*x^5*(6*a+b*n+6*b*ln(c*x^n))/e^2/(e*x+d)^5-1/40*x^2*(20*a+19*b*n+20*b*ln(c*x^n))/e^5/(e*x+d)^2-1/20*x*(20*a+29*b*n+20*b*ln(c*x^n))/e^6/(e*x+d)-1/120*x^4*(30*a+11*b*n+30*b*ln(c*x^n))/e^3/(e*x+d)^4-1/180*x^3*(60*a+37*b*n+60*b*ln(c*x^n))/e^4/(e*x+d)^3+1/20*(20*a+49*b*n+20*b*ln(c*x^n))*ln(1+e*x/d)/e^7+b*n*polylog(2,-e*x/d)/e^7,1],
[x^5*(a+b*ln(c*x^n))/(e*x+d)^7,x,3,-1/30*b*d^4*n/e^6/(e*x+d)^5+5/24*b*d^3*n/e^6/(e*x+d)^4-5/9*b*d^2*n/e^6/(e*x+d)^3+5/6*b*d*n/e^6/(e*x+d)^2-5/6*b*n/e^6/(e*x+d)+1/6*x^6*(a+b*ln(c*x^n))/d/(e*x+d)^6-1/6*b*n*ln(e*x+d)/d/e^6,1],
[x^4*(a+b*ln(c*x^n))/(e*x+d)^7,x,5,-1/30*b*n*x^5/d^2/(e*x+d)^5+1/120*b*d^2*n/e^5/(e*x+d)^4-2/45*b*d*n/e^5/(e*x+d)^3+1/10*b*n/e^5/(e*x+d)^2-2/15*b*n/d/e^5/(e*x+d)+1/6*x^5*(a+b*ln(c*x^n))/d/(e*x+d)^6+1/30*x^5*(a+b*ln(c*x^n))/d^2/(e*x+d)^5-1/30*b*n*ln(e*x+d)/d^2/e^5,1],
[x^3*(a+b*ln(c*x^n))/(e*x+d)^7,x,4,-1/30*b*d^2*n/e^4/(e*x+d)^5+13/120*b*d*n/e^4/(e*x+d)^4-19/180*b*n/e^4/(e*x+d)^3+1/120*b*n/d/e^4/(e*x+d)^2+1/60*b*n/d^2/e^4/(e*x+d)+1/60*b*n*ln(x)/d^3/e^4+1/6*d^3*(a+b*ln(c*x^n))/e^4/(e*x+d)^6-3/5*d^2*(a+b*ln(c*x^n))/e^4/(e*x+d)^5+3/4*d*(a+b*ln(c*x^n))/e^4/(e*x+d)^4-1/3*(a+b*ln(c*x^n))/e^4/(e*x+d)^3-1/60*b*n*ln(e*x+d)/d^3/e^4,1],
[x^2*(a+b*ln(c*x^n))/(e*x+d)^7,x,4,1/30*b*d*n/e^3/(e*x+d)^5-7/120*b*n/e^3/(e*x+d)^4+1/180*b*n/d/e^3/(e*x+d)^3+1/120*b*n/d^2/e^3/(e*x+d)^2+1/60*b*n/d^3/e^3/(e*x+d)+1/60*b*n*ln(x)/d^4/e^3-1/6*d^2*(a+b*ln(c*x^n))/e^3/(e*x+d)^6+2/5*d*(a+b*ln(c*x^n))/e^3/(e*x+d)^5-1/4*(a+b*ln(c*x^n))/e^3/(e*x+d)^4-1/60*b*n*ln(e*x+d)/d^4/e^3,1],
[x*(a+b*ln(c*x^n))/(e*x+d)^7,x,4,-1/30*b*n/e^2/(e*x+d)^5+1/120*b*n/d/e^2/(e*x+d)^4+1/90*b*n/d^2/e^2/(e*x+d)^3+1/60*b*n/d^3/e^2/(e*x+d)^2+1/30*b*n/d^4/e^2/(e*x+d)+1/30*b*n*ln(x)/d^5/e^2+1/6*d*(a+b*ln(c*x^n))/e^2/(e*x+d)^6-1/5*(a+b*ln(c*x^n))/e^2/(e*x+d)^5-1/30*b*n*ln(e*x+d)/d^5/e^2,1],
[(a+b*ln(c*x^n))/(e*x+d)^7,x,3,1/30*b*n/d/e/(e*x+d)^5+1/24*b*n/d^2/e/(e*x+d)^4+1/18*b*n/d^3/e/(e*x+d)^3+1/12*b*n/d^4/e/(e*x+d)^2+1/6*b*n/d^5/e/(e*x+d)+1/6*b*n*ln(x)/d^6/e-1/6*(a+b*ln(c*x^n))/e/(e*x+d)^6-1/6*b*n*ln(e*x+d)/d^6/e,1],
[(a+b*ln(c*x^n))/x/(e*x+d)^7,x,25,-1/30*b*n/d^2/(e*x+d)^5-11/120*b*n/d^3/(e*x+d)^4-37/180*b*n/d^4/(e*x+d)^3-19/40*b*n/d^5/(e*x+d)^2-29/20*b*n/d^6/(e*x+d)-29/20*b*n*ln(x)/d^7+1/6*(a+b*ln(c*x^n))/d/(e*x+d)^6+1/5*(a+b*ln(c*x^n))/d^2/(e*x+d)^5+1/4*(a+b*ln(c*x^n))/d^3/(e*x+d)^4+1/3*(a+b*ln(c*x^n))/d^4/(e*x+d)^3+1/2*(a+b*ln(c*x^n))/d^5/(e*x+d)^2-e*x*(a+b*ln(c*x^n))/d^7/(e*x+d)-ln(1+d/e/x)*(a+b*ln(c*x^n))/d^7+49/20*b*n*ln(e*x+d)/d^7+b*n*polylog(2,-d/e/x)/d^7,1],
[(a+b*ln(c*x^n))/x^2/(e*x+d)^7,x,22,-b*n/d^7/x+1/30*b*e*n/d^3/(e*x+d)^5+17/120*b*e*n/d^4/(e*x+d)^4+79/180*b*e*n/d^5/(e*x+d)^3+53/40*b*e*n/d^6/(e*x+d)^2+103/20*b*e*n/d^7/(e*x+d)+103/20*b*e*n*ln(x)/d^8-(a+b*ln(c*x^n))/d^7/x-1/6*e*(a+b*ln(c*x^n))/d^2/(e*x+d)^6-2/5*e*(a+b*ln(c*x^n))/d^3/(e*x+d)^5-3/4*e*(a+b*ln(c*x^n))/d^4/(e*x+d)^4-4/3*e*(a+b*ln(c*x^n))/d^5/(e*x+d)^3-5/2*e*(a+b*ln(c*x^n))/d^6/(e*x+d)^2+6*e^2*x*(a+b*ln(c*x^n))/d^8/(e*x+d)+7*e*ln(1+d/e/x)*(a+b*ln(c*x^n))/d^8-223/20*b*e*n*ln(e*x+d)/d^8-7*b*e*n*polylog(2,-d/e/x)/d^8,1],
[(a+b*ln(c*x^n))/x^3/(e*x+d)^7,x,23,-1/4*b*n/d^7/x^2+7*b*e*n/d^8/x-1/30*b*e^2*n/d^4/(e*x+d)^5-23/120*b*e^2*n/d^5/(e*x+d)^4-34/45*b*e^2*n/d^6/(e*x+d)^3-14/5*b*e^2*n/d^7/(e*x+d)^2-131/10*b*e^2*n/d^8/(e*x+d)-131/10*b*e^2*n*ln(x)/d^9-1/2*(a+b*ln(c*x^n))/d^7/x^2+7*e*(a+b*ln(c*x^n))/d^8/x+1/6*e^2*(a+b*ln(c*x^n))/d^3/(e*x+d)^6+3/5*e^2*(a+b*ln(c*x^n))/d^4/(e*x+d)^5+3/2*e^2*(a+b*ln(c*x^n))/d^5/(e*x+d)^4+10/3*e^2*(a+b*ln(c*x^n))/d^6/(e*x+d)^3+15/2*e^2*(a+b*ln(c*x^n))/d^7/(e*x+d)^2-21*e^3*x*(a+b*ln(c*x^n))/d^9/(e*x+d)-28*e^2*ln(1+d/e/x)*(a+b*ln(c*x^n))/d^9+341/10*b*e^2*n*ln(e*x+d)/d^9+28*b*e^2*n*polylog(2,-d/e/x)/d^9,1],
[ln(c*x)/(-c*x+1),x,1,polylog(2,-c*x+1)/c,1],
[ln(x/c)/(c-x),x,1,polylog(2,1-x/c),1],
[x^2*(e*x+d)*(a+b*ln(c*x^n))^2,x,6,2/27*b^2*d*n^2*x^3+1/32*b^2*e*n^2*x^4-2/9*b*d*n*x^3*(a+b*ln(c*x^n))-1/8*b*e*n*x^4*(a+b*ln(c*x^n))+1/3*d*x^3*(a+b*ln(c*x^n))^2+1/4*e*x^4*(a+b*ln(c*x^n))^2,1],
[x*(e*x+d)*(a+b*ln(c*x^n))^2,x,6,1/4*b^2*d*n^2*x^2+2/27*b^2*e*n^2*x^3-1/2*b*d*n*x^2*(a+b*ln(c*x^n))-2/9*b*e*n*x^3*(a+b*ln(c*x^n))+1/2*d*x^2*(a+b*ln(c*x^n))^2+1/3*e*x^3*(a+b*ln(c*x^n))^2,1],
[(e*x+d)*(a+b*ln(c*x^n))^2,x,7,-2*a*b*d*n*x+2*b^2*d*n^2*x+1/4*b^2*e*n^2*x^2-2*b^2*d*n*x*ln(c*x^n)-1/2*b*e*n*x^2*(a+b*ln(c*x^n))+d*x*(a+b*ln(c*x^n))^2+1/2*e*x^2*(a+b*ln(c*x^n))^2,1],
[(e*x+d)*(a+b*ln(c*x^n))^2/x,x,6,-2*a*b*e*n*x+2*b^2*e*n^2*x-2*b^2*e*n*x*ln(c*x^n)+e*x*(a+b*ln(c*x^n))^2+1/3*d*(a+b*ln(c*x^n))^3/b/n,1],
[(e*x+d)*(a+b*ln(c*x^n))^2/x^2,x,6,-2*b^2*d*n^2/x-2*b*d*n*(a+b*ln(c*x^n))/x-d*(a+b*ln(c*x^n))^2/x+1/3*e*(a+b*ln(c*x^n))^3/b/n,1],
[(e*x+d)*(a+b*ln(c*x^n))^2/x^3,x,6,-1/4*b^2*d*n^2/x^2-2*b^2*e*n^2/x-1/2*b*d*n*(a+b*ln(c*x^n))/x^2-2*b*e*n*(a+b*ln(c*x^n))/x-1/2*d*(a+b*ln(c*x^n))^2/x^2-e*(a+b*ln(c*x^n))^2/x,1],
[(e*x+d)*(a+b*ln(c*x^n))^2/x^4,x,6,-2/27*b^2*d*n^2/x^3-1/4*b^2*e*n^2/x^2-2/9*b*d*n*(a+b*ln(c*x^n))/x^3-1/2*b*e*n*(a+b*ln(c*x^n))/x^2-1/3*d*(a+b*ln(c*x^n))^2/x^3-1/2*e*(a+b*ln(c*x^n))^2/x^2,1],
[(e*x+d)*(a+b*ln(c*x^n))^2/x^5,x,6,-1/32*b^2*d*n^2/x^4-2/27*b^2*e*n^2/x^3-1/8*b*d*n*(a+b*ln(c*x^n))/x^4-2/9*b*e*n*(a+b*ln(c*x^n))/x^3-1/4*d*(a+b*ln(c*x^n))^2/x^4-1/3*e*(a+b*ln(c*x^n))^2/x^3,1],
[x^2*(e*x+d)^2*(a+b*ln(c*x^n))^2,x,8,2/27*b^2*d^2*n^2*x^3+1/16*b^2*d*e*n^2*x^4+2/125*b^2*e^2*n^2*x^5-2/9*b*d^2*n*x^3*(a+b*ln(c*x^n))-1/4*b*d*e*n*x^4*(a+b*ln(c*x^n))-2/25*b*e^2*n*x^5*(a+b*ln(c*x^n))+1/3*d^2*x^3*(a+b*ln(c*x^n))^2+1/2*d*e*x^4*(a+b*ln(c*x^n))^2+1/5*e^2*x^5*(a+b*ln(c*x^n))^2,1],
[x*(e*x+d)^2*(a+b*ln(c*x^n))^2,x,8,1/4*b^2*d^2*n^2*x^2+4/27*b^2*d*e*n^2*x^3+1/32*b^2*e^2*n^2*x^4-1/2*b*d^2*n*x^2*(a+b*ln(c*x^n))-4/9*b*d*e*n*x^3*(a+b*ln(c*x^n))-1/8*b*e^2*n*x^4*(a+b*ln(c*x^n))+1/2*d^2*x^2*(a+b*ln(c*x^n))^2+2/3*d*e*x^3*(a+b*ln(c*x^n))^2+1/4*e^2*x^4*(a+b*ln(c*x^n))^2,1],
[(e*x+d)^2*(a+b*ln(c*x^n))^2,x,5,2*b^2*d^2*n^2*x+1/2*b^2*d*e*n^2*x^2+2/27*b^2*e^2*n^2*x^3+1/3*b^2*d^3*n^2*ln(x)^2/e-2*b*d^2*n*x*(a+b*ln(c*x^n))-b*d*e*n*x^2*(a+b*ln(c*x^n))-2/9*b*e^2*n*x^3*(a+b*ln(c*x^n))-2/3*b*d^3*n*ln(x)*(a+b*ln(c*x^n))/e+1/3*(e*x+d)^3*(a+b*ln(c*x^n))^2/e,1],
[(e*x+d)^2*(a+b*ln(c*x^n))^2/x,x,14,-4*a*b*d*e*n*x+4*b^2*d*e*n^2*x+1/4*b^2*e^2*n^2*x^2-4*b^2*d*e*n*x*ln(c*x^n)-1/2*b*e^2*n*x^2*(a+b*ln(c*x^n))+2*d*e*x*(a+b*ln(c*x^n))^2+1/2*e^2*x^2*(a+b*ln(c*x^n))^2+1/3*d^2*(a+b*ln(c*x^n))^3/b/n,1],
[(e*x+d)^2*(a+b*ln(c*x^n))^2/x^2,x,9,-2*b^2*d^2*n^2/x-2*a*b*e^2*n*x+2*b^2*e^2*n^2*x-2*b^2*e^2*n*x*ln(c*x^n)-2*b*d^2*n*(a+b*ln(c*x^n))/x-d^2*(a+b*ln(c*x^n))^2/x+e^2*x*(a+b*ln(c*x^n))^2+2/3*d*e*(a+b*ln(c*x^n))^3/b/n,1],
[(e*x+d)^2*(a+b*ln(c*x^n))^2/x^3,x,8,-1/4*b^2*d^2*n^2/x^2-4*b^2*d*e*n^2/x-1/2*b*d^2*n*(a+b*ln(c*x^n))/x^2-4*b*d*e*n*(a+b*ln(c*x^n))/x-1/2*d^2*(a+b*ln(c*x^n))^2/x^2-2*d*e*(a+b*ln(c*x^n))^2/x+1/3*e^2*(a+b*ln(c*x^n))^3/b/n,1],
[(e*x+d)^2*(a+b*ln(c*x^n))^2/x^4,x,8,-2/27*b^2*d^2*n^2/x^3-1/2*b^2*d*e*n^2/x^2-2*b^2*e^2*n^2/x-2/9*b*d^2*n*(a+b*ln(c*x^n))/x^3-b*d*e*n*(a+b*ln(c*x^n))/x^2-2*b*e^2*n*(a+b*ln(c*x^n))/x-1/3*d^2*(a+b*ln(c*x^n))^2/x^3-d*e*(a+b*ln(c*x^n))^2/x^2-e^2*(a+b*ln(c*x^n))^2/x,1],
[(e*x+d)^2*(a+b*ln(c*x^n))^2/x^5,x,8,-1/32*b^2*d^2*n^2/x^4-4/27*b^2*d*e*n^2/x^3-1/4*b^2*e^2*n^2/x^2-1/8*b*d^2*n*(a+b*ln(c*x^n))/x^4-4/9*b*d*e*n*(a+b*ln(c*x^n))/x^3-1/2*b*e^2*n*(a+b*ln(c*x^n))/x^2-1/4*d^2*(a+b*ln(c*x^n))^2/x^4-2/3*d*e*(a+b*ln(c*x^n))^2/x^3-1/2*e^2*(a+b*ln(c*x^n))^2/x^2,1],
[x^3*(a+b*ln(c*x^n))^2/(e*x+d),x,12,-2*a*b*d^2*n*x/e^3+2*b^2*d^2*n^2*x/e^3-1/4*b^2*d*n^2*x^2/e^2+2/27*b^2*n^2*x^3/e-2*b^2*d^2*n*x*ln(c*x^n)/e^3+1/2*b*d*n*x^2*(a+b*ln(c*x^n))/e^2-2/9*b*n*x^3*(a+b*ln(c*x^n))/e+d^2*x*(a+b*ln(c*x^n))^2/e^3-1/2*d*x^2*(a+b*ln(c*x^n))^2/e^2+1/3*x^3*(a+b*ln(c*x^n))^2/e-d^3*(a+b*ln(c*x^n))^2*ln(1+e*x/d)/e^4-2*b*d^3*n*(a+b*ln(c*x^n))*polylog(2,-e*x/d)/e^4+2*b^2*d^3*n^2*polylog(3,-e*x/d)/e^4,1],
[x^2*(a+b*ln(c*x^n))^2/(e*x+d),x,10,2*a*b*d*n*x/e^2-2*b^2*d*n^2*x/e^2+1/4*b^2*n^2*x^2/e+2*b^2*d*n*x*ln(c*x^n)/e^2-1/2*b*n*x^2*(a+b*ln(c*x^n))/e-d*x*(a+b*ln(c*x^n))^2/e^2+1/2*x^2*(a+b*ln(c*x^n))^2/e+d^2*(a+b*ln(c*x^n))^2*ln(1+e*x/d)/e^3+2*b*d^2*n*(a+b*ln(c*x^n))*polylog(2,-e*x/d)/e^3-2*b^2*d^2*n^2*polylog(3,-e*x/d)/e^3,1],
[x*(a+b*ln(c*x^n))^2/(e*x+d),x,8,-2*a*b*n*x/e+2*b^2*n^2*x/e-2*b^2*n*x*ln(c*x^n)/e+x*(a+b*ln(c*x^n))^2/e-d*(a+b*ln(c*x^n))^2*ln(1+e*x/d)/e^2-2*b*d*n*(a+b*ln(c*x^n))*polylog(2,-e*x/d)/e^2+2*b^2*d*n^2*polylog(3,-e*x/d)/e^2,1],
[(a+b*ln(c*x^n))^2/(e*x+d),x,3,(a+b*ln(c*x^n))^2*ln(1+e*x/d)/e+2*b*n*(a+b*ln(c*x^n))*polylog(2,-e*x/d)/e-2*b^2*n^2*polylog(3,-e*x/d)/e,1],
[(a+b*ln(c*x^n))^2/x/(e*x+d),x,3,-ln(1+d/e/x)*(a+b*ln(c*x^n))^2/d+2*b*n*(a+b*ln(c*x^n))*polylog(2,-d/e/x)/d+2*b^2*n^2*polylog(3,-d/e/x)/d,1],
[(a+b*ln(c*x^n))^2/x^2/(e*x+d),x,6,-2*b^2*n^2/d/x-2*b*n*(a+b*ln(c*x^n))/d/x-(a+b*ln(c*x^n))^2/d/x+e*ln(1+d/e/x)*(a+b*ln(c*x^n))^2/d^2-2*b*e*n*(a+b*ln(c*x^n))*polylog(2,-d/e/x)/d^2-2*b^2*e*n^2*polylog(3,-d/e/x)/d^2,1],
[(a+b*ln(c*x^n))^2/x^3/(e*x+d),x,9,-1/4*b^2*n^2/d/x^2+2*b^2*e*n^2/d^2/x-1/2*b*n*(a+b*ln(c*x^n))/d/x^2+2*b*e*n*(a+b*ln(c*x^n))/d^2/x-1/2*(a+b*ln(c*x^n))^2/d/x^2+e*(a+b*ln(c*x^n))^2/d^2/x-e^2*ln(1+d/e/x)*(a+b*ln(c*x^n))^2/d^3+2*b*e^2*n*(a+b*ln(c*x^n))*polylog(2,-d/e/x)/d^3+2*b^2*e^2*n^2*polylog(3,-d/e/x)/d^3,1],
[(a+b*ln(c*x^n))^2/x^4/(e*x+d),x,12,-2/27*b^2*n^2/d/x^3+1/4*b^2*e*n^2/d^2/x^2-2*b^2*e^2*n^2/d^3/x-2/9*b*n*(a+b*ln(c*x^n))/d/x^3+1/2*b*e*n*(a+b*ln(c*x^n))/d^2/x^2-2*b*e^2*n*(a+b*ln(c*x^n))/d^3/x-1/3*(a+b*ln(c*x^n))^2/d/x^3+1/2*e*(a+b*ln(c*x^n))^2/d^2/x^2-e^2*(a+b*ln(c*x^n))^2/d^3/x+e^3*ln(1+d/e/x)*(a+b*ln(c*x^n))^2/d^4-2*b*e^3*n*(a+b*ln(c*x^n))*polylog(2,-d/e/x)/d^4-2*b^2*e^3*n^2*polylog(3,-d/e/x)/d^4,1],
[x^3*(a+b*ln(c*x^n))^2/(e*x+d)^2,x,13,4*a*b*d*n*x/e^3-4*b^2*d*n^2*x/e^3+1/4*b^2*n^2*x^2/e^2+4*b^2*d*n*x*ln(c*x^n)/e^3-1/2*b*n*x^2*(a+b*ln(c*x^n))/e^2-2*d*x*(a+b*ln(c*x^n))^2/e^3+1/2*x^2*(a+b*ln(c*x^n))^2/e^2-d^2*x*(a+b*ln(c*x^n))^2/e^3/(e*x+d)+2*b*d^2*n*(a+b*ln(c*x^n))*ln(1+e*x/d)/e^4+3*d^2*(a+b*ln(c*x^n))^2*ln(1+e*x/d)/e^4+2*b^2*d^2*n^2*polylog(2,-e*x/d)/e^4+6*b*d^2*n*(a+b*ln(c*x^n))*polylog(2,-e*x/d)/e^4-6*b^2*d^2*n^2*polylog(3,-e*x/d)/e^4,1],
[x^2*(a+b*ln(c*x^n))^2/(e*x+d)^2,x,11,-2*a*b*n*x/e^2+2*b^2*n^2*x/e^2-2*b^2*n*x*ln(c*x^n)/e^2+x*(a+b*ln(c*x^n))^2/e^2+d*x*(a+b*ln(c*x^n))^2/e^2/(e*x+d)-2*b*d*n*(a+b*ln(c*x^n))*ln(1+e*x/d)/e^3-2*d*(a+b*ln(c*x^n))^2*ln(1+e*x/d)/e^3-2*b^2*d*n^2*polylog(2,-e*x/d)/e^3-4*b*d*n*(a+b*ln(c*x^n))*polylog(2,-e*x/d)/e^3+4*b^2*d*n^2*polylog(3,-e*x/d)/e^3,1],
[x*(a+b*ln(c*x^n))^2/(e*x+d)^2,x,8,-x*(a+b*ln(c*x^n))^2/e/(e*x+d)+2*b*n*(a+b*ln(c*x^n))*ln(1+e*x/d)/e^2+(a+b*ln(c*x^n))^2*ln(1+e*x/d)/e^2+2*b^2*n^2*polylog(2,-e*x/d)/e^2+2*b*n*(a+b*ln(c*x^n))*polylog(2,-e*x/d)/e^2-2*b^2*n^2*polylog(3,-e*x/d)/e^2,1],
[(a+b*ln(c*x^n))^2/(e*x+d)^2,x,3,x*(a+b*ln(c*x^n))^2/d/(e*x+d)-2*b*n*(a+b*ln(c*x^n))*ln(1+e*x/d)/d/e-2*b^2*n^2*polylog(2,-e*x/d)/d/e,1],
[(a+b*ln(c*x^n))^2/x/(e*x+d)^2,x,7,-e*x*(a+b*ln(c*x^n))^2/d^2/(e*x+d)-ln(1+d/e/x)*(a+b*ln(c*x^n))^2/d^2+2*b*n*(a+b*ln(c*x^n))*ln(1+e*x/d)/d^2+2*b*n*(a+b*ln(c*x^n))*polylog(2,-d/e/x)/d^2+2*b^2*n^2*polylog(2,-e*x/d)/d^2+2*b^2*n^2*polylog(3,-d/e/x)/d^2,1],
[(a+b*ln(c*x^n))^2/x^2/(e*x+d)^2,x,10,-2*b^2*n^2/d^2/x-2*b*n*(a+b*ln(c*x^n))/d^2/x-(a+b*ln(c*x^n))^2/d^2/x+e^2*x*(a+b*ln(c*x^n))^2/d^3/(e*x+d)+2*e*ln(1+d/e/x)*(a+b*ln(c*x^n))^2/d^3-2*b*e*n*(a+b*ln(c*x^n))*ln(1+e*x/d)/d^3-4*b*e*n*(a+b*ln(c*x^n))*polylog(2,-d/e/x)/d^3-2*b^2*e*n^2*polylog(2,-e*x/d)/d^3-4*b^2*e*n^2*polylog(3,-d/e/x)/d^3,1],
[(a+b*ln(c*x^n))^2/x^3/(e*x+d)^2,x,12,-1/4*b^2*n^2/d^2/x^2+4*b^2*e*n^2/d^3/x-1/2*b*n*(a+b*ln(c*x^n))/d^2/x^2+4*b*e*n*(a+b*ln(c*x^n))/d^3/x-1/2*(a+b*ln(c*x^n))^2/d^2/x^2+2*e*(a+b*ln(c*x^n))^2/d^3/x-e^3*x*(a+b*ln(c*x^n))^2/d^4/(e*x+d)-3*e^2*ln(1+d/e/x)*(a+b*ln(c*x^n))^2/d^4+2*b*e^2*n*(a+b*ln(c*x^n))*ln(1+e*x/d)/d^4+6*b*e^2*n*(a+b*ln(c*x^n))*polylog(2,-d/e/x)/d^4+2*b^2*e^2*n^2*polylog(2,-e*x/d)/d^4+6*b^2*e^2*n^2*polylog(3,-d/e/x)/d^4,1],
[x^3*(a+b*ln(c*x^n))^2/(e*x+d)^3,x,17,-2*a*b*n*x/e^3+2*b^2*n^2*x/e^3-2*b^2*n*x*ln(c*x^n)/e^3+b*d*n*x*(a+b*ln(c*x^n))/e^3/(e*x+d)-1/2*d*(a+b*ln(c*x^n))^2/e^4+x*(a+b*ln(c*x^n))^2/e^3+1/2*d^3*(a+b*ln(c*x^n))^2/e^4/(e*x+d)^2+3*d*x*(a+b*ln(c*x^n))^2/e^3/(e*x+d)-b^2*d*n^2*ln(e*x+d)/e^4-5*b*d*n*(a+b*ln(c*x^n))*ln(1+e*x/d)/e^4-3*d*(a+b*ln(c*x^n))^2*ln(1+e*x/d)/e^4-5*b^2*d*n^2*polylog(2,-e*x/d)/e^4-6*b*d*n*(a+b*ln(c*x^n))*polylog(2,-e*x/d)/e^4+6*b^2*d*n^2*polylog(3,-e*x/d)/e^4,1],
[x^2*(a+b*ln(c*x^n))^2/(e*x+d)^3,x,14,-b*n*x*(a+b*ln(c*x^n))/e^2/(e*x+d)+1/2*(a+b*ln(c*x^n))^2/e^3-1/2*d^2*(a+b*ln(c*x^n))^2/e^3/(e*x+d)^2-2*x*(a+b*ln(c*x^n))^2/e^2/(e*x+d)+b^2*n^2*ln(e*x+d)/e^3+3*b*n*(a+b*ln(c*x^n))*ln(1+e*x/d)/e^3+(a+b*ln(c*x^n))^2*ln(1+e*x/d)/e^3+3*b^2*n^2*polylog(2,-e*x/d)/e^3+2*b*n*(a+b*ln(c*x^n))*polylog(2,-e*x/d)/e^3-2*b^2*n^2*polylog(3,-e*x/d)/e^3,1],
[x*(a+b*ln(c*x^n))^2/(e*x+d)^3,x,4,b*n*x*(a+b*ln(c*x^n))/d/e/(e*x+d)+1/2*x^2*(a+b*ln(c*x^n))^2/d/(e*x+d)^2-b*n*(a+b*n+b*ln(c*x^n))*ln(1+e*x/d)/d/e^2-b^2*n^2*polylog(2,-e*x/d)/d/e^2,1],
[(a+b*ln(c*x^n))^2/(e*x+d)^3,x,6,-b*n*x*(a+b*ln(c*x^n))/d^2/(e*x+d)-b*n*ln(1+d/e/x)*(a+b*ln(c*x^n))/d^2/e-1/2*(a+b*ln(c*x^n))^2/e/(e*x+d)^2+b^2*n^2*ln(e*x+d)/d^2/e+b^2*n^2*polylog(2,-d/e/x)/d^2/e,1],
[(a+b*ln(c*x^n))^2/x/(e*x+d)^3,x,14,b*e*n*x*(a+b*ln(c*x^n))/d^3/(e*x+d)-1/2*(a+b*ln(c*x^n))^2/d^3+1/2*(a+b*ln(c*x^n))^2/d/(e*x+d)^2-e*x*(a+b*ln(c*x^n))^2/d^3/(e*x+d)+1/3*(a+b*ln(c*x^n))^3/b/d^3/n-b^2*n^2*ln(e*x+d)/d^3+3*b*n*(a+b*ln(c*x^n))*ln(1+e*x/d)/d^3-(a+b*ln(c*x^n))^2*ln(1+e*x/d)/d^3+3*b^2*n^2*polylog(2,-e*x/d)/d^3-2*b*n*(a+b*ln(c*x^n))*polylog(2,-e*x/d)/d^3+2*b^2*n^2*polylog(3,-e*x/d)/d^3,1],
[(a+b*ln(c*x^n))^2/x^2/(e*x+d)^3,x,16,-2*b^2*n^2/d^3/x-2*b*n*(a+b*ln(c*x^n))/d^3/x-b*e^2*n*x*(a+b*ln(c*x^n))/d^4/(e*x+d)+1/2*e*(a+b*ln(c*x^n))^2/d^4-(a+b*ln(c*x^n))^2/d^3/x-1/2*e*(a+b*ln(c*x^n))^2/d^2/(e*x+d)^2+2*e^2*x*(a+b*ln(c*x^n))^2/d^4/(e*x+d)-e*(a+b*ln(c*x^n))^3/b/d^4/n+b^2*e*n^2*ln(e*x+d)/d^4-5*b*e*n*(a+b*ln(c*x^n))*ln(1+e*x/d)/d^4+3*e*(a+b*ln(c*x^n))^2*ln(1+e*x/d)/d^4-5*b^2*e*n^2*polylog(2,-e*x/d)/d^4+6*b*e*n*(a+b*ln(c*x^n))*polylog(2,-e*x/d)/d^4-6*b^2*e*n^2*polylog(3,-e*x/d)/d^4,1],
[x^4*(a+b*ln(c*x^n))^2/(e*x+d)^4,x,27,-2*a*b*n*x/e^4+2*b^2*n^2*x/e^4-1/3*b^2*d^2*n^2/e^5/(e*x+d)-1/3*b^2*d*n^2*ln(x)/e^5-2*b^2*n*x*ln(c*x^n)/e^4+1/3*b*d^3*n*(a+b*ln(c*x^n))/e^5/(e*x+d)^2+10/3*b*d*n*x*(a+b*ln(c*x^n))/e^4/(e*x+d)-5/3*d*(a+b*ln(c*x^n))^2/e^5+x*(a+b*ln(c*x^n))^2/e^4-1/3*d^4*(a+b*ln(c*x^n))^2/e^5/(e*x+d)^3+2*d^3*(a+b*ln(c*x^n))^2/e^5/(e*x+d)^2+6*d*x*(a+b*ln(c*x^n))^2/e^4/(e*x+d)-3*b^2*d*n^2*ln(e*x+d)/e^5-26/3*b*d*n*(a+b*ln(c*x^n))*ln(1+e*x/d)/e^5-4*d*(a+b*ln(c*x^n))^2*ln(1+e*x/d)/e^5-26/3*b^2*d*n^2*polylog(2,-e*x/d)/e^5-8*b*d*n*(a+b*ln(c*x^n))*polylog(2,-e*x/d)/e^5+8*b^2*d*n^2*polylog(3,-e*x/d)/e^5,1],
[x^3*(a+b*ln(c*x^n))^2/(e*x+d)^4,x,24,1/3*b^2*d*n^2/e^4/(e*x+d)+1/3*b^2*n^2*ln(x)/e^4-1/3*b*d^2*n*(a+b*ln(c*x^n))/e^4/(e*x+d)^2-7/3*b*n*x*(a+b*ln(c*x^n))/e^3/(e*x+d)+7/6*(a+b*ln(c*x^n))^2/e^4+1/3*d^3*(a+b*ln(c*x^n))^2/e^4/(e*x+d)^3-3/2*d^2*(a+b*ln(c*x^n))^2/e^4/(e*x+d)^2-3*x*(a+b*ln(c*x^n))^2/e^3/(e*x+d)+2*b^2*n^2*ln(e*x+d)/e^4+11/3*b*n*(a+b*ln(c*x^n))*ln(1+e*x/d)/e^4+(a+b*ln(c*x^n))^2*ln(1+e*x/d)/e^4+11/3*b^2*n^2*polylog(2,-e*x/d)/e^4+2*b*n*(a+b*ln(c*x^n))*polylog(2,-e*x/d)/e^4-2*b^2*n^2*polylog(3,-e*x/d)/e^4,1],
[x^2*(a+b*ln(c*x^n))^2/(e*x+d)^4,x,5,1/3*b*n*x^2*(a+b*ln(c*x^n))/d/e/(e*x+d)^2+1/3*x^3*(a+b*ln(c*x^n))^2/d/(e*x+d)^3+1/3*b*n*x*(2*a+b*n+2*b*ln(c*x^n))/d/e^2/(e*x+d)-1/3*b*n*(2*a+3*b*n+2*b*ln(c*x^n))*ln(1+e*x/d)/d/e^3-2/3*b^2*n^2*polylog(2,-e*x/d)/d/e^3,1],
[x*(a+b*ln(c*x^n))^2/(e*x+d)^4,x,8,1/3*b^2*n^2/d/e^2/(e*x+d)-1/3*b*n*(a+b*ln(c*x^n))/e^2/(e*x+d)^2+1/3*b*n*(a+b*ln(c*x^n))/d/e^2/(e*x+d)+1/6*(a+b*ln(c*x^n))^2/d^2/e^2+1/3*d*(a+b*ln(c*x^n))^2/e^2/(e*x+d)^3-1/2*(a+b*ln(c*x^n))^2/e^2/(e*x+d)^2-1/3*b*n*(a+b*ln(c*x^n))*ln(1+e*x/d)/d^2/e^2-1/3*b^2*n^2*polylog(2,-e*x/d)/d^2/e^2,1],
[(a+b*ln(c*x^n))^2/(e*x+d)^4,x,10,-1/3*b^2*n^2/d^2/e/(e*x+d)-1/3*b^2*n^2*ln(x)/d^3/e+1/3*b*n*(a+b*ln(c*x^n))/d/e/(e*x+d)^2-2/3*b*n*x*(a+b*ln(c*x^n))/d^3/(e*x+d)-2/3*b*n*ln(1+d/e/x)*(a+b*ln(c*x^n))/d^3/e-1/3*(a+b*ln(c*x^n))^2/e/(e*x+d)^3+b^2*n^2*ln(e*x+d)/d^3/e+2/3*b^2*n^2*polylog(2,-d/e/x)/d^3/e,1],
[(a+b*ln(c*x^n))^2/x/(e*x+d)^4,x,25,1/3*b^2*n^2/d^3/(e*x+d)+1/3*b^2*n^2*ln(x)/d^4-1/3*b*n*(a+b*ln(c*x^n))/d^2/(e*x+d)^2+5/3*b*e*n*x*(a+b*ln(c*x^n))/d^4/(e*x+d)-5/6*(a+b*ln(c*x^n))^2/d^4+1/3*(a+b*ln(c*x^n))^2/d/(e*x+d)^3+1/2*(a+b*ln(c*x^n))^2/d^2/(e*x+d)^2-e*x*(a+b*ln(c*x^n))^2/d^4/(e*x+d)+1/3*(a+b*ln(c*x^n))^3/b/d^4/n-2*b^2*n^2*ln(e*x+d)/d^4+11/3*b*n*(a+b*ln(c*x^n))*ln(1+e*x/d)/d^4-(a+b*ln(c*x^n))^2*ln(1+e*x/d)/d^4+11/3*b^2*n^2*polylog(2,-e*x/d)/d^4-2*b*n*(a+b*ln(c*x^n))*polylog(2,-e*x/d)/d^4+2*b^2*n^2*polylog(3,-e*x/d)/d^4,1],
[(a+b*ln(c*x^n))^2/x^2/(e*x+d)^4,x,26,-2*b^2*n^2/d^4/x-1/3*b^2*e*n^2/d^4/(e*x+d)-1/3*b^2*e*n^2*ln(x)/d^5-2*b*n*(a+b*ln(c*x^n))/d^4/x+1/3*b*e*n*(a+b*ln(c*x^n))/d^3/(e*x+d)^2-8/3*b*e^2*n*x*(a+b*ln(c*x^n))/d^5/(e*x+d)+4/3*e*(a+b*ln(c*x^n))^2/d^5-(a+b*ln(c*x^n))^2/d^4/x-1/3*e*(a+b*ln(c*x^n))^2/d^2/(e*x+d)^3-e*(a+b*ln(c*x^n))^2/d^3/(e*x+d)^2+3*e^2*x*(a+b*ln(c*x^n))^2/d^5/(e*x+d)-4/3*e*(a+b*ln(c*x^n))^3/b/d^5/n+3*b^2*e*n^2*ln(e*x+d)/d^5-26/3*b*e*n*(a+b*ln(c*x^n))*ln(1+e*x/d)/d^5+4*e*(a+b*ln(c*x^n))^2*ln(1+e*x/d)/d^5-26/3*b^2*e*n^2*polylog(2,-e*x/d)/d^5+8*b*e*n*(a+b*ln(c*x^n))*polylog(2,-e*x/d)/d^5-8*b^2*e*n^2*polylog(3,-e*x/d)/d^5,1],
[x*ln(x)^2/(e*x+d)^4,x,8,-1/3*x/d^2/e/(e*x+d)+1/3*x*ln(x)/d/e/(e*x+d)^2+1/6*x^2*(e*x+3*d)*ln(x)^2/d^2/(e*x+d)^3-1/3*ln(x)*ln(1+e*x/d)/d^2/e^2-1/3*polylog(2,-e*x/d)/d^2/e^2,1],
[(a+b*ln(c*x^n))^3/x/(e*x+d),x,4,-ln(1+d/e/x)*(a+b*ln(c*x^n))^3/d+3*b*n*(a+b*ln(c*x^n))^2*polylog(2,-d/e/x)/d+6*b^2*n^2*(a+b*ln(c*x^n))*polylog(3,-d/e/x)/d+6*b^3*n^3*polylog(4,-d/e/x)/d,1],
[(a+b*ln(c*x^n))^3/x/(e*x+d)^2,x,9,-e*x*(a+b*ln(c*x^n))^3/d^2/(e*x+d)-ln(1+d/e/x)*(a+b*ln(c*x^n))^3/d^2+3*b*n*(a+b*ln(c*x^n))^2*ln(1+e*x/d)/d^2+3*b*n*(a+b*ln(c*x^n))^2*polylog(2,-d/e/x)/d^2+6*b^2*n^2*(a+b*ln(c*x^n))*polylog(2,-e*x/d)/d^2+6*b^2*n^2*(a+b*ln(c*x^n))*polylog(3,-d/e/x)/d^2-6*b^3*n^3*polylog(3,-e*x/d)/d^2+6*b^3*n^3*polylog(4,-d/e/x)/d^2,1],
[(a+b*ln(c*x^n))^3/x/(e*x+d)^3,x,18,3/2*b*e*n*x*(a+b*ln(c*x^n))^2/d^3/(e*x+d)-1/2*(a+b*ln(c*x^n))^3/d^3+1/2*(a+b*ln(c*x^n))^3/d/(e*x+d)^2-e*x*(a+b*ln(c*x^n))^3/d^3/(e*x+d)+1/4*(a+b*ln(c*x^n))^4/b/d^3/n-3*b^2*n^2*(a+b*ln(c*x^n))*ln(1+e*x/d)/d^3+9/2*b*n*(a+b*ln(c*x^n))^2*ln(1+e*x/d)/d^3-(a+b*ln(c*x^n))^3*ln(1+e*x/d)/d^3-3*b^3*n^3*polylog(2,-e*x/d)/d^3+9*b^2*n^2*(a+b*ln(c*x^n))*polylog(2,-e*x/d)/d^3-3*b*n*(a+b*ln(c*x^n))^2*polylog(2,-e*x/d)/d^3-9*b^3*n^3*polylog(3,-e*x/d)/d^3+6*b^2*n^2*(a+b*ln(c*x^n))*polylog(3,-e*x/d)/d^3-6*b^3*n^3*polylog(4,-e*x/d)/d^3,1],
[(e*x+d)*sqrt(a+b*ln(c*x^n)),x,10,-1/2*sqrt(b)*d*sqrt(n)*sqrt(Pi)*x*erfi(sqrt(a+b*ln(c*x^n))/sqrt(b)/sqrt(n))/exp(a/b/n)/((c*x^n)^(1/n))-1/4*sqrt(b)*e*sqrt(n)*sqrt(1/2*Pi)*x^2*erfi(sqrt(2)*sqrt(a+b*ln(c*x^n))/sqrt(b)/sqrt(n))/exp(2*a/b/n)/((c*x^n)^(2/n))+d*x*sqrt(a+b*ln(c*x^n))+1/2*e*x^2*sqrt(a+b*ln(c*x^n)),1],
[(e*x+d)^2*sqrt(a+b*ln(c*x^n)),x,14,-1/2*sqrt(b)*d^2*sqrt(n)*sqrt(Pi)*x*erfi(sqrt(a+b*ln(c*x^n))/sqrt(b)/sqrt(n))/exp(a/b/n)/((c*x^n)^(1/n))-1/2*sqrt(b)*d*e*sqrt(n)*sqrt(1/2*Pi)*x^2*erfi(sqrt(2)*sqrt(a+b*ln(c*x^n))/sqrt(b)/sqrt(n))/exp(2*a/b/n)/((c*x^n)^(2/n))-1/6*sqrt(b)*e^2*sqrt(n)*sqrt(1/3*Pi)*x^3*erfi(sqrt(3)*sqrt(a+b*ln(c*x^n))/sqrt(b)/sqrt(n))/exp(3*a/b/n)/((c*x^n)^(3/n))+d^2*x*sqrt(a+b*ln(c*x^n))+d*e*x^2*sqrt(a+b*ln(c*x^n))+1/3*e^2*x^3*sqrt(a+b*ln(c*x^n)),1],
[(e*x+d)^3*sqrt(a+b*ln(c*x^n)),x,18,-1/2*sqrt(b)*d^3*sqrt(n)*sqrt(Pi)*x*erfi(sqrt(a+b*ln(c*x^n))/sqrt(b)/sqrt(n))/exp(a/b/n)/((c*x^n)^(1/n))-1/16*sqrt(b)*e^3*sqrt(n)*sqrt(Pi)*x^4*erfi(2*sqrt(a+b*ln(c*x^n))/sqrt(b)/sqrt(n))/exp(4*a/b/n)/((c*x^n)^(4/n))-3/4*sqrt(b)*d^2*e*sqrt(n)*sqrt(1/2*Pi)*x^2*erfi(sqrt(2)*sqrt(a+b*ln(c*x^n))/sqrt(b)/sqrt(n))/exp(2*a/b/n)/((c*x^n)^(2/n))-1/2*sqrt(b)*d*e^2*sqrt(n)*sqrt(1/3*Pi)*x^3*erfi(sqrt(3)*sqrt(a+b*ln(c*x^n))/sqrt(b)/sqrt(n))/exp(3*a/b/n)/((c*x^n)^(3/n))+d^3*x*sqrt(a+b*ln(c*x^n))+3/2*d^2*e*x^2*sqrt(a+b*ln(c*x^n))+d*e^2*x^3*sqrt(a+b*ln(c*x^n))+1/4*e^3*x^4*sqrt(a+b*ln(c*x^n)),1],
[sqrt(a+b*ln(c*x^n))/(e*x+d),x,0,Defer(Int)(sqrt(a+b*ln(c*x^n))/(e*x+d),x),0],
[sqrt(a+b*ln(c*x^n))/(e*x+d)^2,x,1,x*sqrt(a+b*ln(c*x^n))/d/(e*x+d)-1/2*b*n*Defer(Int)(1/(e*x+d)/sqrt(a+b*ln(c*x^n)),x)/d,0],
[sqrt(a+b*ln(c*x^n))/(e*x+d)^3,x,1,-1/2*sqrt(a+b*ln(c*x^n))/e/(e*x+d)^2+1/4*b*n*Defer(Int)(1/x/(e*x+d)^2/sqrt(a+b*ln(c*x^n)),x)/e,0],
[x^3*sqrt(e*x+d)*(a+b*ln(c*x^n)),x,6,64/315*b*d^4*n*sqrt(e*x+d)/e^4+64/945*b*d^3*n*(e*x+d)^(3/2)/e^4-356/1575*b*d^2*n*(e*x+d)^(5/2)/e^4+80/441*b*d*n*(e*x+d)^(7/2)/e^4-4/81*b*n*(e*x+d)^(9/2)/e^4-64/315*b*d^(9/2)*n*arctanh(sqrt(e*x+d)/sqrt(d))/e^4-2/3*d^3*(e*x+d)^(3/2)*(a+b*ln(c*x^n))/e^4+6/5*d^2*(e*x+d)^(5/2)*(a+b*ln(c*x^n))/e^4-6/7*d*(e*x+d)^(7/2)*(a+b*ln(c*x^n))/e^4+2/9*(e*x+d)^(9/2)*(a+b*ln(c*x^n))/e^4,1],
[x^2*sqrt(e*x+d)*(a+b*ln(c*x^n)),x,6,-32/105*b*d^3*n*sqrt(e*x+d)/e^3-32/315*b*d^2*n*(e*x+d)^(3/2)/e^3+36/175*b*d*n*(e*x+d)^(5/2)/e^3-4/49*b*n*(e*x+d)^(7/2)/e^3+32/105*b*d^(7/2)*n*arctanh(sqrt(e*x+d)/sqrt(d))/e^3+2/3*d^2*(e*x+d)^(3/2)*(a+b*ln(c*x^n))/e^3-4/5*d*(e*x+d)^(5/2)*(a+b*ln(c*x^n))/e^3+2/7*(e*x+d)^(7/2)*(a+b*ln(c*x^n))/e^3,1],
[x*sqrt(e*x+d)*(a+b*ln(c*x^n)),x,7,8/15*b*d^2*n*sqrt(e*x+d)/e^2+8/45*b*d*n*(e*x+d)^(3/2)/e^2-4/25*b*n*(e*x+d)^(5/2)/e^2-8/15*b*d^(5/2)*n*arctanh(sqrt(e*x+d)/sqrt(d))/e^2-2/3*d*(e*x+d)^(3/2)*(a+b*ln(c*x^n))/e^2+2/5*(e*x+d)^(5/2)*(a+b*ln(c*x^n))/e^2,1],
[sqrt(e*x+d)*(a+b*ln(c*x^n)),x,5,-4/3*b*d*n*sqrt(e*x+d)/e-4/9*b*n*(e*x+d)^(3/2)/e+4/3*b*d^(3/2)*n*arctanh(sqrt(e*x+d)/sqrt(d))/e+2/3*(e*x+d)^(3/2)*(a+b*ln(c*x^n))/e,1],
[sqrt(e*x+d)*(a+b*ln(c*x^n))/x,x,12,-4*b*n*sqrt(e*x+d)+4*b*sqrt(d)*n*arctanh(sqrt(e*x+d)/sqrt(d))+2*b*sqrt(d)*n*arctanh(sqrt(e*x+d)/sqrt(d))^2+2*sqrt(e*x+d)*(a+b*ln(c*x^n))-2*sqrt(d)*arctanh(sqrt(e*x+d)/sqrt(d))*(a+b*ln(c*x^n))-4*b*sqrt(d)*n*arctanh(sqrt(e*x+d)/sqrt(d))*ln(2*sqrt(d)/(sqrt(d)-sqrt(e*x+d)))-2*b*sqrt(d)*n*polylog(2,1-2*sqrt(d)/(sqrt(d)-sqrt(e*x+d))),1],
[sqrt(e*x+d)*(a+b*ln(c*x^n))/x^2,x,10,-b*n*sqrt(e*x+d)/x-b*e*n*arctanh(sqrt(e*x+d)/sqrt(d))/sqrt(d)+b*e*n*arctanh(sqrt(e*x+d)/sqrt(d))^2/sqrt(d)-sqrt(e*x+d)*(a+b*ln(c*x^n))/x-e*arctanh(sqrt(e*x+d)/sqrt(d))*(a+b*ln(c*x^n))/sqrt(d)-2*b*e*n*arctanh(sqrt(e*x+d)/sqrt(d))*ln(2*sqrt(d)/(sqrt(d)-sqrt(e*x+d)))/sqrt(d)-b*e*n*polylog(2,1-2*sqrt(d)/(sqrt(d)-sqrt(e*x+d)))/sqrt(d),1],
[sqrt(e*x+d)*(a+b*ln(c*x^n))/x^3,x,12,-1/4*b*n*sqrt(e*x+d)/x^2-3/8*b*e*n*sqrt(e*x+d)/d/x-1/8*b*e^2*n*arctanh(sqrt(e*x+d)/sqrt(d))/d^(3/2)-1/4*b*e^2*n*arctanh(sqrt(e*x+d)/sqrt(d))^2/d^(3/2)-1/2*sqrt(e*x+d)*(a+b*ln(c*x^n))/x^2-1/4*e*sqrt(e*x+d)*(a+b*ln(c*x^n))/d/x+1/4*e^2*arctanh(sqrt(e*x+d)/sqrt(d))*(a+b*ln(c*x^n))/d^(3/2)+1/2*b*e^2*n*arctanh(sqrt(e*x+d)/sqrt(d))*ln(2*sqrt(d)/(sqrt(d)-sqrt(e*x+d)))/d^(3/2)+1/4*b*e^2*n*polylog(2,1-2*sqrt(d)/(sqrt(d)-sqrt(e*x+d)))/d^(3/2),1],
[x^3*(e*x+d)^(3/2)*(a+b*ln(c*x^n)),x,6,64/1155*b*d^5*n*sqrt(e*x+d)/e^4+64/3465*b*d^4*n*(e*x+d)^(3/2)/e^4+64/5775*b*d^3*n*(e*x+d)^(5/2)/e^4-172/1617*b*d^2*n*(e*x+d)^(7/2)/e^4+32/297*b*d*n*(e*x+d)^(9/2)/e^4-4/121*b*n*(e*x+d)^(11/2)/e^4-64/1155*b*d^(11/2)*n*arctanh(sqrt(e*x+d)/sqrt(d))/e^4-2/5*d^3*(e*x+d)^(5/2)*(a+b*ln(c*x^n))/e^4+6/7*d^2*(e*x+d)^(7/2)*(a+b*ln(c*x^n))/e^4-2/3*d*(e*x+d)^(9/2)*(a+b*ln(c*x^n))/e^4+2/11*(e*x+d)^(11/2)*(a+b*ln(c*x^n))/e^4,1],
[x^2*(e*x+d)^(3/2)*(a+b*ln(c*x^n)),x,6,-32/315*b*d^4*n*sqrt(e*x+d)/e^3-32/945*b*d^3*n*(e*x+d)^(3/2)/e^3-32/1575*b*d^2*n*(e*x+d)^(5/2)/e^3+44/441*b*d*n*(e*x+d)^(7/2)/e^3-4/81*b*n*(e*x+d)^(9/2)/e^3+32/315*b*d^(9/2)*n*arctanh(sqrt(e*x+d)/sqrt(d))/e^3+2/5*d^2*(e*x+d)^(5/2)*(a+b*ln(c*x^n))/e^3-4/7*d*(e*x+d)^(7/2)*(a+b*ln(c*x^n))/e^3+2/9*(e*x+d)^(9/2)*(a+b*ln(c*x^n))/e^3,1],
[x*(e*x+d)^(3/2)*(a+b*ln(c*x^n)),x,8,8/35*b*d^3*n*sqrt(e*x+d)/e^2+8/105*b*d^2*n*(e*x+d)^(3/2)/e^2+8/175*b*d*n*(e*x+d)^(5/2)/e^2-4/49*b*n*(e*x+d)^(7/2)/e^2-8/35*b*d^(7/2)*n*arctanh(sqrt(e*x+d)/sqrt(d))/e^2-2/5*d*(e*x+d)^(5/2)*(a+b*ln(c*x^n))/e^2+2/7*(e*x+d)^(7/2)*(a+b*ln(c*x^n))/e^2,1],
[(e*x+d)^(3/2)*(a+b*ln(c*x^n)),x,6,-4/5*b*d^2*n*sqrt(e*x+d)/e-4/15*b*d*n*(e*x+d)^(3/2)/e-4/25*b*n*(e*x+d)^(5/2)/e+4/5*b*d^(5/2)*n*arctanh(sqrt(e*x+d)/sqrt(d))/e+2/5*(e*x+d)^(5/2)*(a+b*ln(c*x^n))/e,1],
[(e*x+d)^(3/2)*(a+b*ln(c*x^n))/x,x,18,-16/3*b*d*n*sqrt(e*x+d)-4/9*b*n*(e*x+d)^(3/2)+16/3*b*d^(3/2)*n*arctanh(sqrt(e*x+d)/sqrt(d))+2*b*d^(3/2)*n*arctanh(sqrt(e*x+d)/sqrt(d))^2+2*d*sqrt(e*x+d)*(a+b*ln(c*x^n))+2/3*(e*x+d)^(3/2)*(a+b*ln(c*x^n))-2*d^(3/2)*arctanh(sqrt(e*x+d)/sqrt(d))*(a+b*ln(c*x^n))-4*b*d^(3/2)*n*arctanh(sqrt(e*x+d)/sqrt(d))*ln(2*sqrt(d)/(sqrt(d)-sqrt(e*x+d)))-2*b*d^(3/2)*n*polylog(2,1-2*sqrt(d)/(sqrt(d)-sqrt(e*x+d))),1],
[(e*x+d)^(3/2)*(a+b*ln(c*x^n))/x^2,x,12,-4*b*e*n*sqrt(e*x+d)-b*d*n*sqrt(e*x+d)/x+3*b*sqrt(d)*e*n*arctanh(sqrt(e*x+d)/sqrt(d))+3*b*sqrt(d)*e*n*arctanh(sqrt(e*x+d)/sqrt(d))^2+3*e*sqrt(e*x+d)*(a+b*ln(c*x^n))-(e*x+d)^(3/2)*(a+b*ln(c*x^n))/x-3*sqrt(d)*e*arctanh(sqrt(e*x+d)/sqrt(d))*(a+b*ln(c*x^n))-6*b*sqrt(d)*e*n*arctanh(sqrt(e*x+d)/sqrt(d))*ln(2*sqrt(d)/(sqrt(d)-sqrt(e*x+d)))-3*b*sqrt(d)*e*n*polylog(2,1-2*sqrt(d)/(sqrt(d)-sqrt(e*x+d))),1],
[(e*x+d)^(3/2)*(a+b*ln(c*x^n))/x^3,x,12,-1/4*b*d*n*sqrt(e*x+d)/x^2-11/8*b*e*n*sqrt(e*x+d)/x-9/8*b*e^2*n*arctanh(sqrt(e*x+d)/sqrt(d))/sqrt(d)+3/4*b*e^2*n*arctanh(sqrt(e*x+d)/sqrt(d))^2/sqrt(d)-3/4*e*sqrt(e*x+d)*(a+b*ln(c*x^n))/x-1/2*(e*x+d)^(3/2)*(a+b*ln(c*x^n))/x^2-3/4*e^2*arctanh(sqrt(e*x+d)/sqrt(d))*(a+b*ln(c*x^n))/sqrt(d)-3/2*b*e^2*n*arctanh(sqrt(e*x+d)/sqrt(d))*ln(2*sqrt(d)/(sqrt(d)-sqrt(e*x+d)))/sqrt(d)-3/4*b*e^2*n*polylog(2,1-2*sqrt(d)/(sqrt(d)-sqrt(e*x+d)))/sqrt(d),1],
[x^3*(a+b*ln(c*x^n))/sqrt(e*x+d),x,6,64/35*b*d^3*n*sqrt(e*x+d)/e^4-76/105*b*d^2*n*(e*x+d)^(3/2)/e^4+64/175*b*d*n*(e*x+d)^(5/2)/e^4-4/49*b*n*(e*x+d)^(7/2)/e^4-64/35*b*d^(7/2)*n*arctanh(sqrt(e*x+d)/sqrt(d))/e^4-2*d^3*sqrt(e*x+d)*(a+b*ln(c*x^n))/e^4+2*d^2*(e*x+d)^(3/2)*(a+b*ln(c*x^n))/e^4-6/5*d*(e*x+d)^(5/2)*(a+b*ln(c*x^n))/e^4+2/7*(e*x+d)^(7/2)*(a+b*ln(c*x^n))/e^4,1],
[x^2*(a+b*ln(c*x^n))/sqrt(e*x+d),x,6,-32/15*b*d^2*n*sqrt(e*x+d)/e^3+28/45*b*d*n*(e*x+d)^(3/2)/e^3-4/25*b*n*(e*x+d)^(5/2)/e^3+32/15*b*d^(5/2)*n*arctanh(sqrt(e*x+d)/sqrt(d))/e^3+2*d^2*sqrt(e*x+d)*(a+b*ln(c*x^n))/e^3-4/3*d*(e*x+d)^(3/2)*(a+b*ln(c*x^n))/e^3+2/5*(e*x+d)^(5/2)*(a+b*ln(c*x^n))/e^3,1],
[x*(a+b*ln(c*x^n))/sqrt(e*x+d),x,6,8/3*b*d*n*sqrt(e*x+d)/e^2-4/9*b*n*(e*x+d)^(3/2)/e^2-8/3*b*d^(3/2)*n*arctanh(sqrt(e*x+d)/sqrt(d))/e^2-2*d*sqrt(e*x+d)*(a+b*ln(c*x^n))/e^2+2/3*(e*x+d)^(3/2)*(a+b*ln(c*x^n))/e^2,1],
[(a+b*ln(c*x^n))/sqrt(e*x+d),x,4,-4*b*n*sqrt(e*x+d)/e+4*b*sqrt(d)*n*arctanh(sqrt(e*x+d)/sqrt(d))/e+2*sqrt(e*x+d)*(a+b*ln(c*x^n))/e,1],
[(a+b*ln(c*x^n))/x/sqrt(e*x+d),x,7,2*b*n*arctanh(sqrt(e*x+d)/sqrt(d))^2/sqrt(d)-2*arctanh(sqrt(e*x+d)/sqrt(d))*(a+b*ln(c*x^n))/sqrt(d)-4*b*n*arctanh(sqrt(e*x+d)/sqrt(d))*ln(2*sqrt(d)/(sqrt(d)-sqrt(e*x+d)))/sqrt(d)-2*b*n*polylog(2,1-2*sqrt(d)/(sqrt(d)-sqrt(e*x+d)))/sqrt(d),1],
[(a+b*ln(c*x^n))/x^2/sqrt(e*x+d),x,10,-b*n*sqrt(e*x+d)/d/x-b*e*n*arctanh(sqrt(e*x+d)/sqrt(d))/d^(3/2)-b*e*n*arctanh(sqrt(e*x+d)/sqrt(d))^2/d^(3/2)-sqrt(e*x+d)*(a+b*ln(c*x^n))/d/x+e*arctanh(sqrt(e*x+d)/sqrt(d))*(a+b*ln(c*x^n))/d^(3/2)+2*b*e*n*arctanh(sqrt(e*x+d)/sqrt(d))*ln(2*sqrt(d)/(sqrt(d)-sqrt(e*x+d)))/d^(3/2)+b*e*n*polylog(2,1-2*sqrt(d)/(sqrt(d)-sqrt(e*x+d)))/d^(3/2),1],
[(a+b*ln(c*x^n))/x^3/sqrt(e*x+d),x,12,-1/4*b*n*sqrt(e*x+d)/d/x^2+5/8*b*e*n*sqrt(e*x+d)/d^2/x+7/8*b*e^2*n*arctanh(sqrt(e*x+d)/sqrt(d))/d^(5/2)+3/4*b*e^2*n*arctanh(sqrt(e*x+d)/sqrt(d))^2/d^(5/2)-1/2*sqrt(e*x+d)*(a+b*ln(c*x^n))/d/x^2+3/4*e*sqrt(e*x+d)*(a+b*ln(c*x^n))/d^2/x-3/4*e^2*arctanh(sqrt(e*x+d)/sqrt(d))*(a+b*ln(c*x^n))/d^(5/2)-3/2*b*e^2*n*arctanh(sqrt(e*x+d)/sqrt(d))*ln(2*sqrt(d)/(sqrt(d)-sqrt(e*x+d)))/d^(5/2)-3/4*b*e^2*n*polylog(2,1-2*sqrt(d)/(sqrt(d)-sqrt(e*x+d)))/d^(5/2),1],
[x^3*(a+b*ln(c*x^n))/(e*x+d)^(3/2),x,6,-44/5*b*d^2*n*sqrt(e*x+d)/e^4+16/15*b*d*n*(e*x+d)^(3/2)/e^4-4/25*b*n*(e*x+d)^(5/2)/e^4+64/5*b*d^(5/2)*n*arctanh(sqrt(e*x+d)/sqrt(d))/e^4+2*d^3*(a+b*ln(c*x^n))/e^4/sqrt(e*x+d)+6*d^2*sqrt(e*x+d)*(a+b*ln(c*x^n))/e^4-2*d*(e*x+d)^(3/2)*(a+b*ln(c*x^n))/e^4+2/5*(e*x+d)^(5/2)*(a+b*ln(c*x^n))/e^4,1],
[x^2*(a+b*ln(c*x^n))/(e*x+d)^(3/2),x,6,20/3*b*d*n*sqrt(e*x+d)/e^3-4/9*b*n*(e*x+d)^(3/2)/e^3-32/3*b*d^(3/2)*n*arctanh(sqrt(e*x+d)/sqrt(d))/e^3-2*d^2*(a+b*ln(c*x^n))/e^3/sqrt(e*x+d)-4*d*sqrt(e*x+d)*(a+b*ln(c*x^n))/e^3+2/3*(e*x+d)^(3/2)*(a+b*ln(c*x^n))/e^3,1],
[x*(a+b*ln(c*x^n))/(e*x+d)^(3/2),x,5,-4*b*n*sqrt(e*x+d)/e^2+8*b*sqrt(d)*n*arctanh(sqrt(e*x+d)/sqrt(d))/e^2+2*d*(a+b*ln(c*x^n))/e^2/sqrt(e*x+d)+2*sqrt(e*x+d)*(a+b*ln(c*x^n))/e^2,1],
[(a+b*ln(c*x^n))/(e*x+d)^(3/2),x,3,-4*b*n*arctanh(sqrt(e*x+d)/sqrt(d))/sqrt(d)/e-2*(a+b*ln(c*x^n))/e/sqrt(e*x+d),1],
[(a+b*ln(c*x^n))/x/(e*x+d)^(3/2),x,11,4*b*n*arctanh(sqrt(e*x+d)/sqrt(d))/d^(3/2)+2*b*n*arctanh(sqrt(e*x+d)/sqrt(d))^2/d^(3/2)+2*(a+b*ln(c*x^n))/d/sqrt(e*x+d)-2*arctanh(sqrt(e*x+d)/sqrt(d))*(a+b*ln(c*x^n))/d^(3/2)-4*b*n*arctanh(sqrt(e*x+d)/sqrt(d))*ln(2*sqrt(d)/(sqrt(d)-sqrt(e*x+d)))/d^(3/2)-2*b*n*polylog(2,1-2*sqrt(d)/(sqrt(d)-sqrt(e*x+d)))/d^(3/2),1],
[(a+b*ln(c*x^n))/x^2/(e*x+d)^(3/2),x,11,-b*n*sqrt(e*x+d)/d^2/x-5*b*e*n*arctanh(sqrt(e*x+d)/sqrt(d))/d^(5/2)-3*b*e*n*arctanh(sqrt(e*x+d)/sqrt(d))^2/d^(5/2)-3*e*(a+b*ln(c*x^n))/d^2/sqrt(e*x+d)-(a+b*ln(c*x^n))/d/x/sqrt(e*x+d)+3*e*arctanh(sqrt(e*x+d)/sqrt(d))*(a+b*ln(c*x^n))/d^(5/2)+6*b*e*n*arctanh(sqrt(e*x+d)/sqrt(d))*ln(2*sqrt(d)/(sqrt(d)-sqrt(e*x+d)))/d^(5/2)+3*b*e*n*polylog(2,1-2*sqrt(d)/(sqrt(d)-sqrt(e*x+d)))/d^(5/2),1],
[x^2/(e*x+d)/(a+b*ln(c*x^n)),x,0,Defer(Int)(x^2/(e*x+d)/(a+b*ln(c*x^n)),x),0],
[x/(e*x+d)/(a+b*ln(c*x^n)),x,0,Defer(Int)(x/(e*x+d)/(a+b*ln(c*x^n)),x),0],
[1/(e*x+d)/(a+b*ln(c*x^n)),x,0,Defer(Int)(1/(e*x+d)/(a+b*ln(c*x^n)),x),0],
[1/x/(e*x+d)/(a+b*ln(c*x^n)),x,0,Defer(Int)(1/x/(e*x+d)/(a+b*ln(c*x^n)),x),0],
[1/x^2/(e*x+d)/(a+b*ln(c*x^n)),x,0,Defer(Int)(1/x^2/(e*x+d)/(a+b*ln(c*x^n)),x),0],
[(f*x)^m*(e*x+d)^3*(a+b*ln(c*x^n)),x,3,-b*d^3*n*(f*x)^(1+m)/f/(1+m)^2-3*b*d^2*e*n*(f*x)^(2+m)/f^2/(2+m)^2-3*b*d*e^2*n*(f*x)^(3+m)/f^3/(3+m)^2-b*e^3*n*(f*x)^(4+m)/f^4/(4+m)^2+d^3*(f*x)^(1+m)*(a+b*ln(c*x^n))/f/(1+m)+3*d^2*e*(f*x)^(2+m)*(a+b*ln(c*x^n))/f^2/(2+m)+3*d*e^2*(f*x)^(3+m)*(a+b*ln(c*x^n))/f^3/(3+m)+e^3*(f*x)^(4+m)*(a+b*ln(c*x^n))/f^4/(4+m),1],
[(f*x)^m*(e*x+d)^2*(a+b*ln(c*x^n)),x,4,-b*d^2*n*(f*x)^(1+m)/f/(1+m)^2-2*b*d*e*n*(f*x)^(2+m)/f^2/(2+m)^2-b*e^2*n*(f*x)^(3+m)/f^3/(3+m)^2+d^2*(f*x)^(1+m)*(a+b*ln(c*x^n))/f/(1+m)+2*d*e*(f*x)^(2+m)*(a+b*ln(c*x^n))/f^2/(2+m)+e^2*(f*x)^(3+m)*(a+b*ln(c*x^n))/f^3/(3+m),1],
[(f*x)^m*(e*x+d)*(a+b*ln(c*x^n)),x,3,-b*d*n*(f*x)^(1+m)/f/(1+m)^2-b*e*n*(f*x)^(2+m)/f^2/(2+m)^2+d*(f*x)^(1+m)*(a+b*ln(c*x^n))/f/(1+m)+e*(f*x)^(2+m)*(a+b*ln(c*x^n))/f^2/(2+m),1],
[(f*x)^m*(a+b*ln(c*x^n)),x,1,-b*n*(f*x)^(1+m)/f/(1+m)^2+(f*x)^(1+m)*(a+b*ln(c*x^n))/f/(1+m),1],
[(f*x)^m*(a+b*ln(c*x^n))/(e*x+d),x,0,Defer(Int)((f*x)^m*(a+b*ln(c*x^n))/(e*x+d),x),0],
[(f*x)^m*(a+b*ln(c*x^n))/(e*x+d)^2,x,0,Defer(Int)((f*x)^m*(a+b*ln(c*x^n))/(e*x+d)^2,x),0],
[x*(b*x+a)^m*ln(c*x^n),x,0,Defer(Int)(x*(b*x+a)^m*ln(c*x^n),x),0],
[(b*x+a)^m*ln(c*x^n),x,2,n*(b*x+a)^(2+m)*hypergeom([1, 2+m],[3+m],1+b*x/a)/a/b/(m^2+3*m+2)+(b*x+a)^(1+m)*ln(c*x^n)/b/(1+m),1],
[(b*x+a)^m*ln(c*x^n)/x,x,0,Defer(Int)((b*x+a)^m*ln(c*x^n)/x,x),0],
[x^5*(e*x^2+d)*(a+b*ln(c*x^n)),x,2,-1/36*b*d*n*x^6-1/64*b*e*n*x^8+1/24*(3*e*x^8+4*d*x^6)*(a+b*ln(c*x^n)),1],
[x^3*(e*x^2+d)*(a+b*ln(c*x^n)),x,2,-1/16*b*d*n*x^4-1/36*b*e*n*x^6+1/12*(2*e*x^6+3*d*x^4)*(a+b*ln(c*x^n)),1],
[x*(e*x^2+d)*(a+b*ln(c*x^n)),x,5,-1/4*b*d*n*x^2-1/16*b*e*n*x^4+1/4*(e*x^4+2*d*x^2)*(a+b*ln(c*x^n)),1],
[(e*x^2+d)*(a+b*ln(c*x^n))/x,x,4,-1/4*b*e*n*x^2+1/2*e*x^2*(a+b*ln(c*x^n))+1/2*d*(a+b*ln(c*x^n))^2/b/n,1],
[(e*x^2+d)*(a+b*ln(c*x^n))/x^3,x,3,-1/4*b*d*n/x^2-1/2*d*(a+b*ln(c*x^n))/x^2+1/2*e*(a+b*ln(c*x^n))^2/b/n,1],
[(e*x^2+d)*(a+b*ln(c*x^n))/x^5,x,5,-1/16*b*d*n/x^4-1/4*b*e*n/x^2+1/4*b*e^2*n*ln(x)/d-1/4*(e*x^2+d)^2*(a+b*ln(c*x^n))/d/x^4,1],
[x^4*(e*x^2+d)*(a+b*ln(c*x^n)),x,2,-1/25*b*d*n*x^5-1/49*b*e*n*x^7+1/35*(5*e*x^7+7*d*x^5)*(a+b*ln(c*x^n)),1],
[x^2*(e*x^2+d)*(a+b*ln(c*x^n)),x,2,-1/9*b*d*n*x^3-1/25*b*e*n*x^5+1/15*(3*e*x^5+5*d*x^3)*(a+b*ln(c*x^n)),1],
[(e*x^2+d)*(a+b*ln(c*x^n)),x,2,-b*d*n*x-1/9*b*e*n*x^3+d*x*(a+b*ln(c*x^n))+1/3*e*x^3*(a+b*ln(c*x^n)),1],
[(e*x^2+d)*(a+b*ln(c*x^n))/x^2,x,2,-b*d*n/x-b*e*n*x-d*(a+b*ln(c*x^n))/x+e*x*(a+b*ln(c*x^n)),1],
[(e*x^2+d)*(a+b*ln(c*x^n))/x^4,x,4,-1/9*b*d*n/x^3-b*e*n/x-1/3*d*(a+b*ln(c*x^n))/x^3-e*(a+b*ln(c*x^n))/x,1],
[(e*x^2+d)*(a+b*ln(c*x^n))/x^6,x,4,-1/25*b*d*n/x^5-1/9*b*e*n/x^3-1/5*d*(a+b*ln(c*x^n))/x^5-1/3*e*(a+b*ln(c*x^n))/x^3,1],
[x^5*(e*x^2+d)^2*(a+b*ln(c*x^n)),x,4,-1/36*b*d^2*n*x^6-1/32*b*d*e*n*x^8-1/100*b*e^2*n*x^10+1/60*(6*e^2*x^10+15*d*e*x^8+10*d^2*x^6)*(a+b*ln(c*x^n)),1],
[x^3*(e*x^2+d)^2*(a+b*ln(c*x^n)),x,4,-1/16*b*d^2*n*x^4-1/18*b*d*e*n*x^6-1/64*b*e^2*n*x^8+1/24*(3*e^2*x^8+8*d*e*x^6+6*d^2*x^4)*(a+b*ln(c*x^n)),1],
[x*(e*x^2+d)^2*(a+b*ln(c*x^n)),x,5,-1/4*b*d^2*n*x^2-1/8*b*d*e*n*x^4-1/36*b*e^2*n*x^6-1/6*b*d^3*n*ln(x)/e+1/6*(e*x^2+d)^3*(a+b*ln(c*x^n))/e,1],
[(e*x^2+d)^2*(a+b*ln(c*x^n))/x,x,3,-1/2*b*d*e*n*x^2-1/16*b*e^2*n*x^4-1/2*b*d^2*n*ln(x)^2+d*e*x^2*(a+b*ln(c*x^n))+1/4*e^2*x^4*(a+b*ln(c*x^n))+d^2*ln(x)*(a+b*ln(c*x^n)),1],
[(e*x^2+d)^2*(a+b*ln(c*x^n))/x^3,x,7,-1/4*b*d^2*n/x^2-1/4*b*e^2*n*x^2-b*d*e*n*ln(x)^2-1/2*d^2*(a+b*ln(c*x^n))/x^2+1/2*e^2*x^2*(a+b*ln(c*x^n))+2*d*e*ln(x)*(a+b*ln(c*x^n)),1],
[(e*x^2+d)^2*(a+b*ln(c*x^n))/x^5,x,5,-1/16*b*n*(4*e*x^2+d)^2/x^4-1/2*b*e^2*n*ln(x)^2-1/4*d^2*(a+b*ln(c*x^n))/x^4-d*e*(a+b*ln(c*x^n))/x^2+e^2*ln(x)*(a+b*ln(c*x^n)),1],
[x^4*(e*x^2+d)^2*(a+b*ln(c*x^n)),x,2,-1/25*b*d^2*n*x^5-2/49*b*d*e*n*x^7-1/81*b*e^2*n*x^9+1/315*(35*e^2*x^9+90*d*e*x^7+63*d^2*x^5)*(a+b*ln(c*x^n)),1],
[x^2*(e*x^2+d)^2*(a+b*ln(c*x^n)),x,2,-1/9*b*d^2*n*x^3-2/25*b*d*e*n*x^5-1/49*b*e^2*n*x^7+1/105*(15*e^2*x^7+42*d*e*x^5+35*d^2*x^3)*(a+b*ln(c*x^n)),1],
[(e*x^2+d)^2*(a+b*ln(c*x^n)),x,2,-b*d^2*n*x-2/9*b*d*e*n*x^3-1/25*b*e^2*n*x^5+d^2*x*(a+b*ln(c*x^n))+2/3*d*e*x^3*(a+b*ln(c*x^n))+1/5*e^2*x^5*(a+b*ln(c*x^n)),1],
[(e*x^2+d)^2*(a+b*ln(c*x^n))/x^2,x,2,-b*d^2*n/x-2*b*d*e*n*x-1/9*b*e^2*n*x^3-d^2*(a+b*ln(c*x^n))/x+2*d*e*x*(a+b*ln(c*x^n))+1/3*e^2*x^3*(a+b*ln(c*x^n)),1],
[(e*x^2+d)^2*(a+b*ln(c*x^n))/x^4,x,2,-1/9*b*d^2*n/x^3-2*b*d*e*n/x-b*e^2*n*x-1/3*d^2*(a+b*ln(c*x^n))/x^3-2*d*e*(a+b*ln(c*x^n))/x+e^2*x*(a+b*ln(c*x^n)),1],
[(e*x^2+d)^2*(a+b*ln(c*x^n))/x^6,x,4,-1/25*b*d^2*n/x^5-2/9*b*d*e*n/x^3-b*e^2*n/x-1/5*d^2*(a+b*ln(c*x^n))/x^5-2/3*d*e*(a+b*ln(c*x^n))/x^3-e^2*(a+b*ln(c*x^n))/x,1],
[(e*x^2+d)^2*(a+b*ln(c*x^n))/x^8,x,4,-1/49*b*d^2*n/x^7-2/25*b*d*e*n/x^5-1/9*b*e^2*n/x^3-1/7*d^2*(a+b*ln(c*x^n))/x^7-2/5*d*e*(a+b*ln(c*x^n))/x^5-1/3*e^2*(a+b*ln(c*x^n))/x^3,1],
[x^5*(e*x^2+d)^3*(a+b*ln(c*x^n)),x,4,-1/36*b*d^3*n*x^6-3/64*b*d^2*e*n*x^8-3/100*b*d*e^2*n*x^10-1/144*b*e^3*n*x^12+1/120*(10*e^3*x^12+36*d*e^2*x^10+45*d^2*e*x^8+20*d^3*x^6)*(a+b*ln(c*x^n)),1],
[x^3*(e*x^2+d)^3*(a+b*ln(c*x^n)),x,6,1/20*b*d^4*n*x^2/e+3/80*b*d^3*n*x^4+1/60*b*d^2*e*n*x^6+1/320*b*d*e^2*n*x^8-1/100*b*n*(e*x^2+d)^5/e^2+1/40*b*d^5*n*ln(x)/e^2-1/40*(5*d*(e*x^2+d)^4/e^2-4*(e*x^2+d)^5/e^2)*(a+b*ln(c*x^n)),1],
[x*(e*x^2+d)^3*(a+b*ln(c*x^n)),x,5,-1/4*b*d^3*n*x^2-3/16*b*d^2*e*n*x^4-1/12*b*d*e^2*n*x^6-1/64*b*e^3*n*x^8-1/8*b*d^4*n*ln(x)/e+1/8*(e*x^2+d)^4*(a+b*ln(c*x^n))/e,1],
[(e*x^2+d)^3*(a+b*ln(c*x^n))/x,x,5,-3/4*b*d^2*e*n*x^2-3/16*b*d*e^2*n*x^4-1/36*b*e^3*n*x^6-1/2*b*d^3*n*ln(x)^2+3/2*d^2*e*x^2*(a+b*ln(c*x^n))+3/4*d*e^2*x^4*(a+b*ln(c*x^n))+1/6*e^3*x^6*(a+b*ln(c*x^n))+d^3*ln(x)*(a+b*ln(c*x^n)),1],
[(e*x^2+d)^3*(a+b*ln(c*x^n))/x^3,x,7,-1/4*b*d^3*n/x^2-3/4*b*d*e^2*n*x^2-1/16*b*e^3*n*x^4-3/2*b*d^2*e*n*ln(x)^2-1/2*d^3*(a+b*ln(c*x^n))/x^2+3/2*d*e^2*x^2*(a+b*ln(c*x^n))+1/4*e^3*x^4*(a+b*ln(c*x^n))+3*d^2*e*ln(x)*(a+b*ln(c*x^n)),1],
[(e*x^2+d)^3*(a+b*ln(c*x^n))/x^5,x,9,-1/4*b*e^3*n*x^2-1/16*b*d*n*(6*e*x^2+d)^2/x^4-3/2*b*d*e^2*n*ln(x)^2-1/4*d^3*(a+b*ln(c*x^n))/x^4-3/2*d^2*e*(a+b*ln(c*x^n))/x^2+1/2*e^3*x^2*(a+b*ln(c*x^n))+3*d*e^2*ln(x)*(a+b*ln(c*x^n)),1],
[x^4*(e*x^2+d)^3*(a+b*ln(c*x^n)),x,2,-1/25*b*d^3*n*x^5-3/49*b*d^2*e*n*x^7-1/27*b*d*e^2*n*x^9-1/121*b*e^3*n*x^11+1/1155*(105*e^3*x^11+385*d*e^2*x^9+495*d^2*e*x^7+231*d^3*x^5)*(a+b*ln(c*x^n)),1],
[x^2*(e*x^2+d)^3*(a+b*ln(c*x^n)),x,2,-1/9*b*d^3*n*x^3-3/25*b*d^2*e*n*x^5-3/49*b*d*e^2*n*x^7-1/81*b*e^3*n*x^9+1/315*(35*e^3*x^9+135*d*e^2*x^7+189*d^2*e*x^5+105*d^3*x^3)*(a+b*ln(c*x^n)),1],
[(e*x^2+d)^3*(a+b*ln(c*x^n)),x,2,-b*d^3*n*x-1/3*b*d^2*e*n*x^3-3/25*b*d*e^2*n*x^5-1/49*b*e^3*n*x^7+d^3*x*(a+b*ln(c*x^n))+d^2*e*x^3*(a+b*ln(c*x^n))+3/5*d*e^2*x^5*(a+b*ln(c*x^n))+1/7*e^3*x^7*(a+b*ln(c*x^n)),1],
[(e*x^2+d)^3*(a+b*ln(c*x^n))/x^2,x,2,-b*d^3*n/x-3*b*d^2*e*n*x-1/3*b*d*e^2*n*x^3-1/25*b*e^3*n*x^5-d^3*(a+b*ln(c*x^n))/x+3*d^2*e*x*(a+b*ln(c*x^n))+d*e^2*x^3*(a+b*ln(c*x^n))+1/5*e^3*x^5*(a+b*ln(c*x^n)),1],
[(e*x^2+d)^3*(a+b*ln(c*x^n))/x^4,x,3,-1/9*b*d^3*n/x^3-3*b*d^2*e*n/x-3*b*d*e^2*n*x-1/9*b*e^3*n*x^3-1/3*d^3*(a+b*ln(c*x^n))/x^3-3*d^2*e*(a+b*ln(c*x^n))/x+3*d*e^2*x*(a+b*ln(c*x^n))+1/3*e^3*x^3*(a+b*ln(c*x^n)),1],
[(e*x^2+d)^3*(a+b*ln(c*x^n))/x^6,x,2,-1/25*b*d^3*n/x^5-1/3*b*d^2*e*n/x^3-3*b*d*e^2*n/x-b*e^3*n*x-1/5*d^3*(a+b*ln(c*x^n))/x^5-d^2*e*(a+b*ln(c*x^n))/x^3-3*d*e^2*(a+b*ln(c*x^n))/x+e^3*x*(a+b*ln(c*x^n)),1],
[(e*x^2+d)^3*(a+b*ln(c*x^n))/x^8,x,4,-1/49*b*d^3*n/x^7-3/25*b*d^2*e*n/x^5-1/3*b*d*e^2*n/x^3-b*e^3*n/x-1/7*d^3*(a+b*ln(c*x^n))/x^7-3/5*d^2*e*(a+b*ln(c*x^n))/x^5-d*e^2*(a+b*ln(c*x^n))/x^3-e^3*(a+b*ln(c*x^n))/x,1],
[(e*x^2+d)^3*(a+b*ln(c*x^n))/x^10,x,4,-1/81*b*d^3*n/x^9-3/49*b*d^2*e*n/x^7-3/25*b*d*e^2*n/x^5-1/9*b*e^3*n/x^3-1/9*d^3*(a+b*ln(c*x^n))/x^9-3/7*d^2*e*(a+b*ln(c*x^n))/x^7-3/5*d*e^2*(a+b*ln(c*x^n))/x^5-1/3*e^3*(a+b*ln(c*x^n))/x^3,1],
[x^5*(a+b*ln(c*x^n))/(e*x^2+d),x,6,1/4*b*d*n*x^2/e^2-1/16*b*n*x^4/e-1/2*d*x^2*(a+b*ln(c*x^n))/e^2+1/4*x^4*(a+b*ln(c*x^n))/e+1/2*d^2*(a+b*ln(c*x^n))*ln(1+e*x^2/d)/e^3+1/4*b*d^2*n*polylog(2,-e*x^2/d)/e^3,1],
[x^3*(a+b*ln(c*x^n))/(e*x^2+d),x,5,-1/4*b*n*x^2/e+1/2*x^2*(a+b*ln(c*x^n))/e-1/2*d*(a+b*ln(c*x^n))*ln(1+e*x^2/d)/e^2-1/4*b*d*n*polylog(2,-e*x^2/d)/e^2,1],
[x*(a+b*ln(c*x^n))/(e*x^2+d),x,2,1/2*(a+b*ln(c*x^n))*ln(1+e*x^2/d)/e+1/4*b*n*polylog(2,-e*x^2/d)/e,1],
[(a+b*ln(c*x^n))/x/(e*x^2+d),x,2,-1/2*ln(1+d/e/x^2)*(a+b*ln(c*x^n))/d+1/4*b*n*polylog(2,-d/e/x^2)/d,1],
[(a+b*ln(c*x^n))/x^3/(e*x^2+d),x,4,-1/4*b*n/d/x^2-1/2*(a+b*ln(c*x^n))/d/x^2+1/2*e*ln(1+d/e/x^2)*(a+b*ln(c*x^n))/d^2-1/4*b*e*n*polylog(2,-d/e/x^2)/d^2,1],
[(a+b*ln(c*x^n))/x^5/(e*x^2+d),x,6,-1/16*b*n/d/x^4+1/4*b*e*n/d^2/x^2-1/4*(a+b*ln(c*x^n))/d/x^4+1/2*e*(a+b*ln(c*x^n))/d^2/x^2-1/2*e^2*ln(1+d/e/x^2)*(a+b*ln(c*x^n))/d^3+1/4*b*e^2*n*polylog(2,-d/e/x^2)/d^3,1],
[x^4*(a+b*ln(c*x^n))/(e*x^2+d),x,8,-a*d*x/e^2+b*d*n*x/e^2-1/9*b*n*x^3/e-b*d*x*ln(c*x^n)/e^2+1/3*x^3*(a+b*ln(c*x^n))/e+d^(3/2)*arctan(sqrt(e)*x/sqrt(d))*(a+b*ln(c*x^n))/e^(5/2)-1/2*b*(-d)^(3/2)*n*polylog(2,-sqrt(e)*x/sqrt(-d))/e^(5/2)+1/2*b*(-d)^(3/2)*n*polylog(2,sqrt(e)*x/sqrt(-d))/e^(5/2),1],
[x^2*(a+b*ln(c*x^n))/(e*x^2+d),x,7,a*x/e-b*n*x/e+b*x*ln(c*x^n)/e-sqrt(d)*arctan(sqrt(e)*x/sqrt(d))*(a+b*ln(c*x^n))/e^(3/2)-1/2*b*sqrt(-d)*n*polylog(2,-sqrt(e)*x/sqrt(-d))/e^(3/2)+1/2*b*sqrt(-d)*n*polylog(2,sqrt(e)*x/sqrt(-d))/e^(3/2),1],
[(a+b*ln(c*x^n))/(e*x^2+d),x,3,arctan(sqrt(e)*x/sqrt(d))*(a+b*ln(c*x^n))/sqrt(d)/sqrt(e)-1/2*b*n*polylog(2,-sqrt(e)*x/sqrt(-d))/sqrt(-d)/sqrt(e)+1/2*b*n*polylog(2,sqrt(e)*x/sqrt(-d))/sqrt(-d)/sqrt(e),1],
[(a+b*ln(c*x^n))/x^2/(e*x^2+d),x,5,-b*n/d/x-(a+b*ln(c*x^n))/d/x-sqrt(e)*arctan(sqrt(e)*x/sqrt(d))*(a+b*ln(c*x^n))/d^(3/2)-1/2*b*sqrt(e)*n*polylog(2,-sqrt(e)*x/sqrt(-d))/(-d)^(3/2)+1/2*b*sqrt(e)*n*polylog(2,sqrt(e)*x/sqrt(-d))/(-d)^(3/2),1],
[(a+b*ln(c*x^n))/x^4/(e*x^2+d),x,7,-1/9*b*n/d/x^3+b*e*n/d^2/x-1/3*(a+b*ln(c*x^n))/d/x^3+e*(a+b*ln(c*x^n))/d^2/x+e^(3/2)*arctan(sqrt(e)*x/sqrt(d))*(a+b*ln(c*x^n))/d^(5/2)-1/2*b*e^(3/2)*n*polylog(2,-sqrt(e)*x/sqrt(-d))/(-d)^(5/2)+1/2*b*e^(3/2)*n*polylog(2,sqrt(e)*x/sqrt(-d))/(-d)^(5/2),1],
[x^5*(a+b*ln(c*x^n))/(e*x^2+d)^2,x,7,-1/4*b*n*x^2/e^2+1/2*x^2*(a+b*ln(c*x^n))/e^2+1/2*d*x^2*(a+b*ln(c*x^n))/e^2/(e*x^2+d)-1/4*b*d*n*ln(e*x^2+d)/e^3-d*(a+b*ln(c*x^n))*ln(1+e*x^2/d)/e^3-1/2*b*d*n*polylog(2,-e*x^2/d)/e^3,1],
[x^3*(a+b*ln(c*x^n))/(e*x^2+d)^2,x,6,-1/2*x^2*(a+b*ln(c*x^n))/e/(e*x^2+d)+1/4*b*n*ln(e*x^2+d)/e^2+1/2*(a+b*ln(c*x^n))*ln(1+e*x^2/d)/e^2+1/4*b*n*polylog(2,-e*x^2/d)/e^2,1],
[x*(a+b*ln(c*x^n))/(e*x^2+d)^2,x,2,1/2*x^2*(a+b*ln(c*x^n))/d/(e*x^2+d)-1/4*b*n*ln(e*x^2+d)/d/e,1],
[(a+b*ln(c*x^n))/x/(e*x^2+d)^2,x,3,1/2*(a+b*ln(c*x^n))/d/(e*x^2+d)-1/4*ln(1+d/e/x^2)*(2*a-b*n+2*b*ln(c*x^n))/d^2+1/4*b*n*polylog(2,-d/e/x^2)/d^2,1],
[(a+b*ln(c*x^n))/x^3/(e*x^2+d)^2,x,5,-1/2*b*n/d^2/x^2+1/2*(a+b*ln(c*x^n))/d/x^2/(e*x^2+d)-1/4*(4*a-b*n+4*b*ln(c*x^n))/d^2/x^2+1/4*e*ln(1+d/e/x^2)*(4*a-b*n+4*b*ln(c*x^n))/d^3-1/2*b*e*n*polylog(2,-d/e/x^2)/d^3,1],
[x^4*(a+b*ln(c*x^n))/(e*x^2+d)^2,x,12,a*x/e^2-b*n*x/e^2-1/2*b*sqrt(d)*n*arctan(sqrt(e)*x/sqrt(d))/e^(5/2)+b*x*ln(c*x^n)/e^2+1/2*d*x*(a+b*ln(c*x^n))/e^2/(e*x^2+d)-3/2*sqrt(d)*arctan(sqrt(e)*x/sqrt(d))*(a+b*ln(c*x^n))/e^(5/2)-3/4*b*sqrt(-d)*n*polylog(2,-sqrt(e)*x/sqrt(-d))/e^(5/2)+3/4*b*sqrt(-d)*n*polylog(2,sqrt(e)*x/sqrt(-d))/e^(5/2),1],
[x^2*(a+b*ln(c*x^n))/(e*x^2+d)^2,x,10,1/2*b*n*arctan(sqrt(e)*x/sqrt(d))/sqrt(d)/e^(3/2)-1/2*x*(a+b*ln(c*x^n))/e/(e*x^2+d)+1/2*arctan(sqrt(e)*x/sqrt(d))*(a+b*ln(c*x^n))/sqrt(d)/e^(3/2)-1/4*b*n*polylog(2,-sqrt(e)*x/sqrt(-d))/sqrt(-d)/e^(3/2)+1/4*b*n*polylog(2,sqrt(e)*x/sqrt(-d))/sqrt(-d)/e^(3/2),1],
[(a+b*ln(c*x^n))/(e*x^2+d)^2,x,5,-1/2*b*n*arctan(sqrt(e)*x/sqrt(d))/d^(3/2)/sqrt(e)+1/2*x*(a+b*ln(c*x^n))/d/(e*x^2+d)+1/2*arctan(sqrt(e)*x/sqrt(d))*(a+b*ln(c*x^n))/d^(3/2)/sqrt(e)+1/4*b*n*polylog(2,-sqrt(e)*x/sqrt(-d))/(-d)^(3/2)/sqrt(e)-1/4*b*n*polylog(2,sqrt(e)*x/sqrt(-d))/(-d)^(3/2)/sqrt(e),1],
[(a+b*ln(c*x^n))/x^2/(e*x^2+d)^2,x,6,-3/2*b*n/d^2/x+1/2*(a+b*ln(c*x^n))/d/x/(e*x^2+d)-1/2*(3*a-b*n+3*b*ln(c*x^n))/d^2/x-1/2*sqrt(e)*arctan(sqrt(e)*x/sqrt(d))*(3*a-b*n+3*b*ln(c*x^n))/d^(5/2)+3/4*b*sqrt(e)*n*polylog(2,-sqrt(e)*x/sqrt(-d))/(-d)^(5/2)-3/4*b*sqrt(e)*n*polylog(2,sqrt(e)*x/sqrt(-d))/(-d)^(5/2),1],
[(a+b*ln(c*x^n))/x^4/(e*x^2+d)^2,x,8,-5/18*b*n/d^2/x^3+5/2*b*e*n/d^3/x+1/2*(a+b*ln(c*x^n))/d/x^3/(e*x^2+d)-1/6*(5*a-b*n+5*b*ln(c*x^n))/d^2/x^3+1/2*e*(5*a-b*n+5*b*ln(c*x^n))/d^3/x+1/2*e^(3/2)*arctan(sqrt(e)*x/sqrt(d))*(5*a-b*n+5*b*ln(c*x^n))/d^(7/2)+5/4*b*e^(3/2)*n*polylog(2,-sqrt(e)*x/sqrt(-d))/(-d)^(7/2)-5/4*b*e^(3/2)*n*polylog(2,sqrt(e)*x/sqrt(-d))/(-d)^(7/2),1],
[x^5*(a+b*ln(c*x^n))/(e*x^2+d)^3,x,10,1/8*b*d*n/e^3/(e*x^2+d)+1/4*b*n*ln(x)/e^3-1/4*d^2*(a+b*ln(c*x^n))/e^3/(e*x^2+d)^2-x^2*(a+b*ln(c*x^n))/e^2/(e*x^2+d)+3/8*b*n*ln(e*x^2+d)/e^3+1/2*(a+b*ln(c*x^n))*ln(1+e*x^2/d)/e^3+1/4*b*n*polylog(2,-e*x^2/d)/e^3,1],
[x^3*(a+b*ln(c*x^n))/(e*x^2+d)^3,x,4,-1/8*b*n/e^2/(e*x^2+d)+1/4*x^4*(a+b*ln(c*x^n))/d/(e*x^2+d)^2-1/8*b*n*ln(e*x^2+d)/d/e^2,1],
[x*(a+b*ln(c*x^n))/(e*x^2+d)^3,x,4,1/8*b*n/d/e/(e*x^2+d)+1/4*b*n*ln(x)/d^2/e-1/4*(a+b*ln(c*x^n))/e/(e*x^2+d)^2-1/8*b*n*ln(e*x^2+d)/d^2/e,1],
[(a+b*ln(c*x^n))/x/(e*x^2+d)^3,x,4,1/4*(a+b*ln(c*x^n))/d/(e*x^2+d)^2-1/8*ln(1+d/e/x^2)*(4*a-3*b*n+4*b*ln(c*x^n))/d^3+1/8*(4*a-b*n+4*b*ln(c*x^n))/d^2/(e*x^2+d)+1/4*b*n*polylog(2,-d/e/x^2)/d^3,1],
[(a+b*ln(c*x^n))/x^3/(e*x^2+d)^3,x,6,-3/4*b*n/d^3/x^2+1/4*(a+b*ln(c*x^n))/d/x^2/(e*x^2+d)^2+1/8*(6*a-b*n+6*b*ln(c*x^n))/d^2/x^2/(e*x^2+d)-1/8*(12*a-5*b*n+12*b*ln(c*x^n))/d^3/x^2+1/8*e*ln(1+d/e/x^2)*(12*a-5*b*n+12*b*ln(c*x^n))/d^4-3/4*b*e*n*polylog(2,-d/e/x^2)/d^4,1],
[x^4*(a+b*ln(c*x^n))/(e*x^2+d)^3,x,18,-1/8*b*n*x/e^2/(e*x^2+d)+1/2*b*n*arctan(sqrt(e)*x/sqrt(d))/sqrt(d)/e^(5/2)+1/4*d*x*(a+b*ln(c*x^n))/e^2/(e*x^2+d)^2-5/8*x*(a+b*ln(c*x^n))/e^2/(e*x^2+d)+3/8*arctan(sqrt(e)*x/sqrt(d))*(a+b*ln(c*x^n))/sqrt(d)/e^(5/2)-3/16*b*n*polylog(2,-sqrt(e)*x/sqrt(-d))/sqrt(-d)/e^(5/2)+3/16*b*n*polylog(2,sqrt(e)*x/sqrt(-d))/sqrt(-d)/e^(5/2),1],
[x^2*(a+b*ln(c*x^n))/(e*x^2+d)^3,x,15,1/8*b*n*x/d/e/(e*x^2+d)-1/4*x*(a+b*ln(c*x^n))/e/(e*x^2+d)^2+1/8*x*(a+b*ln(c*x^n))/d/e/(e*x^2+d)+1/8*arctan(sqrt(e)*x/sqrt(d))*(a+b*ln(c*x^n))/d^(3/2)/e^(3/2)+1/16*b*n*polylog(2,-sqrt(e)*x/sqrt(-d))/(-d)^(3/2)/e^(3/2)-1/16*b*n*polylog(2,sqrt(e)*x/sqrt(-d))/(-d)^(3/2)/e^(3/2),1],
[(a+b*ln(c*x^n))/(e*x^2+d)^3,x,8,-1/8*b*n*x/d^2/(e*x^2+d)-1/2*b*n*arctan(sqrt(e)*x/sqrt(d))/d^(5/2)/sqrt(e)+1/4*x*(a+b*ln(c*x^n))/d/(e*x^2+d)^2+3/8*x*(a+b*ln(c*x^n))/d^2/(e*x^2+d)+3/8*arctan(sqrt(e)*x/sqrt(d))*(a+b*ln(c*x^n))/d^(5/2)/sqrt(e)-3/16*b*n*polylog(2,-sqrt(e)*x/sqrt(-d))/(-d)^(5/2)/sqrt(e)+3/16*b*n*polylog(2,sqrt(e)*x/sqrt(-d))/(-d)^(5/2)/sqrt(e),1],
[(a+b*ln(c*x^n))/x^2/(e*x^2+d)^3,x,7,-15/8*b*n/d^3/x+1/4*(a+b*ln(c*x^n))/d/x/(e*x^2+d)^2+1/8*(5*a-b*n+5*b*ln(c*x^n))/d^2/x/(e*x^2+d)-1/8*(15*a-8*b*n+15*b*ln(c*x^n))/d^3/x-1/8*sqrt(e)*arctan(sqrt(e)*x/sqrt(d))*(15*a-8*b*n+15*b*ln(c*x^n))/d^(7/2)-15/16*b*sqrt(e)*n*polylog(2,-sqrt(e)*x/sqrt(-d))/(-d)^(7/2)+15/16*b*sqrt(e)*n*polylog(2,sqrt(e)*x/sqrt(-d))/(-d)^(7/2),1],
[(a+b*ln(c*x^n))/x^4/(e*x^2+d)^3,x,9,-35/72*b*n/d^3/x^3+35/8*b*e*n/d^4/x+1/4*(a+b*ln(c*x^n))/d/x^3/(e*x^2+d)^2+1/8*(7*a-b*n+7*b*ln(c*x^n))/d^2/x^3/(e*x^2+d)-1/24*(35*a-12*b*n+35*b*ln(c*x^n))/d^3/x^3+1/8*e*(35*a-12*b*n+35*b*ln(c*x^n))/d^4/x+1/8*e^(3/2)*arctan(sqrt(e)*x/sqrt(d))*(35*a-12*b*n+35*b*ln(c*x^n))/d^(9/2)-35/16*b*e^(3/2)*n*polylog(2,-sqrt(e)*x/sqrt(-d))/(-d)^(9/2)+35/16*b*e^(3/2)*n*polylog(2,sqrt(e)*x/sqrt(-d))/(-d)^(9/2),1],
[x*ln(c*x^2)/(-c*x^2+1),x,2,1/2*polylog(2,-c*x^2+1)/c,1],
[x*ln(x^2/c)/(-x^2+c),x,2,1/2*polylog(2,1-x^2/c),1],
[ln(x)/(-x^2+1),x,3,arctanh(x)*ln(x)+1/2*polylog(2,-x)-1/2*polylog(2,x),1],
[ln(x)/(x^2+1),x,3,arctan(x)*ln(x)-1/2*I*polylog(2,-I*x)+1/2*I*polylog(2,I*x),1],
[(a+b*ln(c*x))/(-e*x^2+1),x,3,arctanh(sqrt(e)*x)*(a+b*ln(c*x))/sqrt(e)+1/2*b*polylog(2,-sqrt(e)*x)/sqrt(e)-1/2*b*polylog(2,sqrt(e)*x)/sqrt(e),1],
[(a+b*ln(c*x^n))/(-e*x^2+1),x,3,arctanh(sqrt(e)*x)*(a+b*ln(c*x^n))/sqrt(e)+1/2*b*n*polylog(2,-sqrt(e)*x)/sqrt(e)-1/2*b*n*polylog(2,sqrt(e)*x)/sqrt(e),1],
[(a+b*ln(c*x^n))^2/(e*x^2+d)^2,x,13,1/4*x*(a+b*ln(c*x^n))^2/(-d)^(3/2)/(sqrt(-d)-sqrt(e)*x)+1/4*x*(a+b*ln(c*x^n))^2/(-d)^(3/2)/(sqrt(-d)+sqrt(e)*x)+1/2*arctan(sqrt(e)*x/sqrt(d))*(a+b*ln(c*x^n))^2/d^(3/2)/sqrt(e)+1/2*b*n*(a+b*ln(c*x^n))*ln(1-sqrt(e)*x/sqrt(-d))/(-d)^(3/2)/sqrt(e)-1/2*b*n*(a+b*ln(c*x^n))*ln(1+sqrt(e)*x/sqrt(-d))/(-d)^(3/2)/sqrt(e)-1/2*b^2*n^2*polylog(2,-sqrt(e)*x/sqrt(-d))/(-d)^(3/2)/sqrt(e)+1/2*b*n*(a+b*ln(c*x^n))*polylog(2,-sqrt(e)*x/sqrt(-d))/(-d)^(3/2)/sqrt(e)+1/2*b^2*n^2*polylog(2,sqrt(e)*x/sqrt(-d))/(-d)^(3/2)/sqrt(e)-1/2*b*n*(a+b*ln(c*x^n))*polylog(2,sqrt(e)*x/sqrt(-d))/(-d)^(3/2)/sqrt(e)-1/2*b^2*n^2*polylog(3,-sqrt(e)*x/sqrt(-d))/(-d)^(3/2)/sqrt(e)+1/2*b^2*n^2*polylog(3,sqrt(e)*x/sqrt(-d))/(-d)^(3/2)/sqrt(e),1],
[(a+b*ln(c*x^n))^3/(e*x^2+d)^2,x,17,1/4*x*(a+b*ln(c*x^n))^3/(-d)^(3/2)/(sqrt(-d)-sqrt(e)*x)+1/4*x*(a+b*ln(c*x^n))^3/(-d)^(3/2)/(sqrt(-d)+sqrt(e)*x)+1/2*arctan(sqrt(e)*x/sqrt(d))*(a+b*ln(c*x^n))^3/d^(3/2)/sqrt(e)+3/4*b*n*(a+b*ln(c*x^n))^2*ln(1-sqrt(e)*x/sqrt(-d))/(-d)^(3/2)/sqrt(e)-3/4*b*n*(a+b*ln(c*x^n))^2*ln(1+sqrt(e)*x/sqrt(-d))/(-d)^(3/2)/sqrt(e)-3/2*b^2*n^2*(a+b*ln(c*x^n))*polylog(2,-sqrt(e)*x/sqrt(-d))/(-d)^(3/2)/sqrt(e)+3/4*b*n*(a+b*ln(c*x^n))^2*polylog(2,-sqrt(e)*x/sqrt(-d))/(-d)^(3/2)/sqrt(e)+3/2*b^2*n^2*(a+b*ln(c*x^n))*polylog(2,sqrt(e)*x/sqrt(-d))/(-d)^(3/2)/sqrt(e)-3/4*b*n*(a+b*ln(c*x^n))^2*polylog(2,sqrt(e)*x/sqrt(-d))/(-d)^(3/2)/sqrt(e)+3/2*b^3*n^3*polylog(3,-sqrt(e)*x/sqrt(-d))/(-d)^(3/2)/sqrt(e)-3/2*b^2*n^2*(a+b*ln(c*x^n))*polylog(3,-sqrt(e)*x/sqrt(-d))/(-d)^(3/2)/sqrt(e)-3/2*b^3*n^3*polylog(3,sqrt(e)*x/sqrt(-d))/(-d)^(3/2)/sqrt(e)+3/2*b^2*n^2*(a+b*ln(c*x^n))*polylog(3,sqrt(e)*x/sqrt(-d))/(-d)^(3/2)/sqrt(e)+3/2*b^3*n^3*polylog(4,-sqrt(e)*x/sqrt(-d))/(-d)^(3/2)/sqrt(e)-3/2*b^3*n^3*polylog(4,sqrt(e)*x/sqrt(-d))/(-d)^(3/2)/sqrt(e),1],
[1/(e*x^2+d)^2/(a+b*ln(c*x^n)),x,0,Defer(Int)(1/(e*x^2+d)^2/(a+b*ln(c*x^n)),x),0],
[1/(e*x^2+d)^2/(a+b*ln(c*x^n))^2,x,0,Defer(Int)(1/(e*x^2+d)^2/(a+b*ln(c*x^n))^2,x),0],
[x^5*sqrt(e*x^2+d)*(a+b*ln(c*x^n)),x,7,-8/105*b*d^3*n*sqrt(e*x^2+d)/e^3-8/315*b*d^2*n*(e*x^2+d)^(3/2)/e^3+9/175*b*d*n*(e*x^2+d)^(5/2)/e^3-1/49*b*n*(e*x^2+d)^(7/2)/e^3+8/105*b*d^(7/2)*n*arctanh(sqrt(e*x^2+d)/sqrt(d))/e^3+1/3*d^2*(e*x^2+d)^(3/2)*(a+b*ln(c*x^n))/e^3-2/5*d*(e*x^2+d)^(5/2)*(a+b*ln(c*x^n))/e^3+1/7*(e*x^2+d)^(7/2)*(a+b*ln(c*x^n))/e^3,1],
[x^3*sqrt(e*x^2+d)*(a+b*ln(c*x^n)),x,8,2/15*b*d^2*n*sqrt(e*x^2+d)/e^2+2/45*b*d*n*(e*x^2+d)^(3/2)/e^2-1/25*b*n*(e*x^2+d)^(5/2)/e^2-2/15*b*d^(5/2)*n*arctanh(sqrt(e*x^2+d)/sqrt(d))/e^2-1/3*d*(e*x^2+d)^(3/2)*(a+b*ln(c*x^n))/e^2+1/5*(e*x^2+d)^(5/2)*(a+b*ln(c*x^n))/e^2,1],
[x*sqrt(e*x^2+d)*(a+b*ln(c*x^n)),x,6,-1/3*b*d*n*sqrt(e*x^2+d)/e-1/9*b*n*(e*x^2+d)^(3/2)/e+1/3*b*d^(3/2)*n*arctanh(sqrt(e*x^2+d)/sqrt(d))/e+1/3*(e*x^2+d)^(3/2)*(a+b*ln(c*x^n))/e,1],
[sqrt(e*x^2+d)*(a+b*ln(c*x^n))/x,x,12,-b*n*sqrt(e*x^2+d)+b*sqrt(d)*n*arctanh(sqrt(e*x^2+d)/sqrt(d))+1/2*b*sqrt(d)*n*arctanh(sqrt(e*x^2+d)/sqrt(d))^2+(sqrt(e*x^2+d)-sqrt(d)*arctanh(sqrt(e*x^2+d)/sqrt(d)))*(a+b*ln(c*x^n))-b*sqrt(d)*n*arctanh(sqrt(e*x^2+d)/sqrt(d))*ln(2*sqrt(d)/(sqrt(d)-sqrt(e*x^2+d)))-1/2*b*sqrt(d)*n*polylog(2,1-2*sqrt(d)/(sqrt(d)-sqrt(e*x^2+d))),1],
[sqrt(e*x^2+d)*(a+b*ln(c*x^n))/x^3,x,14,-1/4*b*n*sqrt(e*x^2+d)/x^2-1/4*b*e*n*arctanh(sqrt(e*x^2+d)/sqrt(d))/sqrt(d)+1/4*b*e*n*arctanh(sqrt(e*x^2+d)/sqrt(d))^2/sqrt(d)-1/2*sqrt(e*x^2+d)*(a+b*ln(c*x^n))/x^2-1/2*e*arctanh(sqrt(e*x^2+d)/sqrt(d))*(a+b*ln(c*x^n))/sqrt(d)-1/2*b*e*n*arctanh(sqrt(e*x^2+d)/sqrt(d))*ln(2*sqrt(d)/(sqrt(d)-sqrt(e*x^2+d)))/sqrt(d)-1/4*b*e*n*polylog(2,1-2*sqrt(d)/(sqrt(d)-sqrt(e*x^2+d)))/sqrt(d),1],
[x^4*sqrt(e*x^2+d)*(a+b*ln(c*x^n)),x,17,7/192*b*d^2*n*x*sqrt(e*x^2+d)/e^2-5/288*b*d*n*x^3*sqrt(e*x^2+d)/e-1/36*b*n*x^5*sqrt(e*x^2+d)+5/192*b*d^(5/2)*n*sqrt(e*x^2+d)*arcsinh(sqrt(e)*x/sqrt(d))/e^(5/2)/sqrt(1+e*x^2/d)+1/32*b*d^(5/2)*n*sqrt(e*x^2+d)*arcsinh(sqrt(e)*x/sqrt(d))^2/e^(5/2)/sqrt(1+e*x^2/d)-1/16*b*d^(5/2)*n*sqrt(e*x^2+d)*arcsinh(sqrt(e)*x/sqrt(d))*ln(1-exp(2*arcsinh(sqrt(e)*x/sqrt(d))))/e^(5/2)/sqrt(1+e*x^2/d)-1/16*d^2*x*sqrt(e*x^2+d)*(a+b*ln(c*x^n))/e^2+1/24*d*x^3*sqrt(e*x^2+d)*(a+b*ln(c*x^n))/e+1/6*x^5*sqrt(e*x^2+d)*(a+b*ln(c*x^n))+1/16*d^(5/2)*sqrt(e*x^2+d)*arcsinh(sqrt(e)*x/sqrt(d))*(a+b*ln(c*x^n))/e^(5/2)/sqrt(1+e*x^2/d)-1/32*b*d^(5/2)*n*sqrt(e*x^2+d)*polylog(2,exp(2*arcsinh(sqrt(e)*x/sqrt(d))))/e^(5/2)/sqrt(1+e*x^2/d),1],
[x^2*sqrt(e*x^2+d)*(a+b*ln(c*x^n)),x,9,-1/32*b*d*n*x*sqrt(e*x^2+d)/e-1/16*b*n*x*(e*x^2+d)^(3/2)/e-1/32*b*d^(3/2)*n*sqrt(e*x^2+d)*arcsinh(sqrt(e)*x/sqrt(d))/e^(3/2)/sqrt(1+e*x^2/d)-1/16*b*d^(3/2)*n*sqrt(e*x^2+d)*arcsinh(sqrt(e)*x/sqrt(d))^2/e^(3/2)/sqrt(1+e*x^2/d)+1/8*b*d^(3/2)*n*sqrt(e*x^2+d)*arcsinh(sqrt(e)*x/sqrt(d))*ln(1-exp(2*arcsinh(sqrt(e)*x/sqrt(d))))/e^(3/2)/sqrt(1+e*x^2/d)+1/8*d*x*sqrt(e*x^2+d)*(a+b*ln(c*x^n))/e+1/4*x^3*sqrt(e*x^2+d)*(a+b*ln(c*x^n))-1/8*d^(3/2)*sqrt(e*x^2+d)*arcsinh(sqrt(e)*x/sqrt(d))*(a+b*ln(c*x^n))/e^(3/2)/sqrt(1+e*x^2/d)+1/16*b*d^(3/2)*n*sqrt(e*x^2+d)*polylog(2,exp(2*arcsinh(sqrt(e)*x/sqrt(d))))/e^(3/2)/sqrt(1+e*x^2/d),1],
[sqrt(e*x^2+d)*(a+b*ln(c*x^n)),x,9,-1/4*b*n*x*sqrt(e*x^2+d)+1/4*b*d^(3/2)*n*sqrt(1+e*x^2/d)*arcsinh(sqrt(e)*x/sqrt(d))^2/sqrt(e)/sqrt(e*x^2+d)-1/4*b*d*n*arctanh(sqrt(e)*x/sqrt(e*x^2+d))/sqrt(e)-1/2*b*d^(3/2)*n*sqrt(1+e*x^2/d)*arcsinh(sqrt(e)*x/sqrt(d))*ln(1-exp(2*arcsinh(sqrt(e)*x/sqrt(d))))/sqrt(e)/sqrt(e*x^2+d)+1/2*x*sqrt(e*x^2+d)*(a+b*ln(c*x^n))+1/2*d^(3/2)*sqrt(1+e*x^2/d)*arcsinh(sqrt(e)*x/sqrt(d))*(a+b*ln(c*x^n))/sqrt(e)/sqrt(e*x^2+d)-1/4*b*d^(3/2)*n*sqrt(1+e*x^2/d)*polylog(2,exp(2*arcsinh(sqrt(e)*x/sqrt(d))))/sqrt(e)/sqrt(e*x^2+d),1],
[sqrt(e*x^2+d)*(a+b*ln(c*x^n))/x^2,x,9,-b*n*sqrt(e*x^2+d)/x+b*sqrt(e)*n*sqrt(e*x^2+d)*arcsinh(sqrt(e)*x/sqrt(d))/sqrt(d)/sqrt(1+e*x^2/d)+1/2*b*sqrt(e)*n*sqrt(e*x^2+d)*arcsinh(sqrt(e)*x/sqrt(d))^2/sqrt(d)/sqrt(1+e*x^2/d)-b*sqrt(e)*n*sqrt(e*x^2+d)*arcsinh(sqrt(e)*x/sqrt(d))*ln(1-exp(2*arcsinh(sqrt(e)*x/sqrt(d))))/sqrt(d)/sqrt(1+e*x^2/d)-sqrt(e*x^2+d)*(a+b*ln(c*x^n))/x+sqrt(e)*sqrt(e*x^2+d)*arcsinh(sqrt(e)*x/sqrt(d))*(a+b*ln(c*x^n))/sqrt(d)/sqrt(1+e*x^2/d)-1/2*b*sqrt(e)*n*sqrt(e*x^2+d)*polylog(2,exp(2*arcsinh(sqrt(e)*x/sqrt(d))))/sqrt(d)/sqrt(1+e*x^2/d),1],
[sqrt(e*x^2+d)*(a+b*ln(c*x^n))/x^4,x,5,-1/3*b*e*n*sqrt(e*x^2+d)/d/x-1/9*b*n*(e*x^2+d)^(3/2)/d/x^3+1/3*b*e^(3/2)*n*arctanh(sqrt(e)*x/sqrt(e*x^2+d))/d-1/3*(e*x^2+d)^(3/2)*(a+b*ln(c*x^n))/d/x^3,1],
[sqrt(e*x^2+d)*(a+b*ln(c*x^n))/x^6,x,7,2/15*b*e^2*n*sqrt(e*x^2+d)/d^2/x+2/45*b*e*n*(e*x^2+d)^(3/2)/d^2/x^3-1/25*b*n*(e*x^2+d)^(5/2)/d^2/x^5-2/15*b*e^(5/2)*n*arctanh(sqrt(e)*x/sqrt(e*x^2+d))/d^2-1/5*(e*x^2+d)^(3/2)*(a+b*ln(c*x^n))/d/x^5+2/15*e*(e*x^2+d)^(3/2)*(a+b*ln(c*x^n))/d^2/x^3,1],
[sqrt(e*x^2+d)*(a+b*ln(c*x^n))/x^8,x,8,-8/105*b*e^3*n*sqrt(e*x^2+d)/d^3/x-8/315*b*e^2*n*(e*x^2+d)^(3/2)/d^3/x^3-1/49*b*n*(e*x^2+d)^(5/2)/d^2/x^7+38/1225*b*e*n*(e*x^2+d)^(5/2)/d^3/x^5+8/105*b*e^(7/2)*n*arctanh(sqrt(e)*x/sqrt(e*x^2+d))/d^3-1/7*(e*x^2+d)^(3/2)*(a+b*ln(c*x^n))/d/x^7+4/35*e*(e*x^2+d)^(3/2)*(a+b*ln(c*x^n))/d^2/x^5-8/105*e^2*(e*x^2+d)^(3/2)*(a+b*ln(c*x^n))/d^3/x^3,1],
[x^5*(e*x^2+d)^(3/2)*(a+b*ln(c*x^n)),x,7,-8/315*b*d^4*n*sqrt(e*x^2+d)/e^3-8/945*b*d^3*n*(e*x^2+d)^(3/2)/e^3-8/1575*b*d^2*n*(e*x^2+d)^(5/2)/e^3+11/441*b*d*n*(e*x^2+d)^(7/2)/e^3-1/81*b*n*(e*x^2+d)^(9/2)/e^3+8/315*b*d^(9/2)*n*arctanh(sqrt(e*x^2+d)/sqrt(d))/e^3+1/5*d^2*(e*x^2+d)^(5/2)*(a+b*ln(c*x^n))/e^3-2/7*d*(e*x^2+d)^(7/2)*(a+b*ln(c*x^n))/e^3+1/9*(e*x^2+d)^(9/2)*(a+b*ln(c*x^n))/e^3,1],
[x^3*(e*x^2+d)^(3/2)*(a+b*ln(c*x^n)),x,9,2/35*b*d^3*n*sqrt(e*x^2+d)/e^2+2/105*b*d^2*n*(e*x^2+d)^(3/2)/e^2+2/175*b*d*n*(e*x^2+d)^(5/2)/e^2-1/49*b*n*(e*x^2+d)^(7/2)/e^2-2/35*b*d^(7/2)*n*arctanh(sqrt(e*x^2+d)/sqrt(d))/e^2-1/5*d*(e*x^2+d)^(5/2)*(a+b*ln(c*x^n))/e^2+1/7*(e*x^2+d)^(7/2)*(a+b*ln(c*x^n))/e^2,1],
[x*(e*x^2+d)^(3/2)*(a+b*ln(c*x^n)),x,7,-1/5*b*d^2*n*sqrt(e*x^2+d)/e-1/15*b*d*n*(e*x^2+d)^(3/2)/e-1/25*b*n*(e*x^2+d)^(5/2)/e+1/5*b*d^(5/2)*n*arctanh(sqrt(e*x^2+d)/sqrt(d))/e+1/5*(e*x^2+d)^(5/2)*(a+b*ln(c*x^n))/e,1],
[(e*x^2+d)^(3/2)*(a+b*ln(c*x^n))/x,x,17,-4/3*b*d*n*sqrt(e*x^2+d)-1/9*b*n*(e*x^2+d)^(3/2)+4/3*b*d^(3/2)*n*arctanh(sqrt(e*x^2+d)/sqrt(d))+1/2*b*d^(3/2)*n*arctanh(sqrt(e*x^2+d)/sqrt(d))^2+1/3*(3*d*sqrt(e*x^2+d)+(e*x^2+d)^(3/2)-3*d^(3/2)*arctanh(sqrt(e*x^2+d)/sqrt(d)))*(a+b*ln(c*x^n))-b*d^(3/2)*n*arctanh(sqrt(e*x^2+d)/sqrt(d))*ln(2*sqrt(d)/(sqrt(d)-sqrt(e*x^2+d)))-1/2*b*d^(3/2)*n*polylog(2,1-2*sqrt(d)/(sqrt(d)-sqrt(e*x^2+d))),1],
[(e*x^2+d)^(3/2)*(a+b*ln(c*x^n))/x^3,x,18,-b*e*n*sqrt(e*x^2+d)-1/4*b*d*n*sqrt(e*x^2+d)/x^2+3/4*b*sqrt(d)*e*n*arctanh(sqrt(e*x^2+d)/sqrt(d))+3/4*b*sqrt(d)*e*n*arctanh(sqrt(e*x^2+d)/sqrt(d))^2+3/2*e*sqrt(e*x^2+d)*(a+b*ln(c*x^n))-1/2*(e*x^2+d)^(3/2)*(a+b*ln(c*x^n))/x^2-3/2*sqrt(d)*e*arctanh(sqrt(e*x^2+d)/sqrt(d))*(a+b*ln(c*x^n))-3/2*b*sqrt(d)*e*n*arctanh(sqrt(e*x^2+d)/sqrt(d))*ln(2*sqrt(d)/(sqrt(d)-sqrt(e*x^2+d)))-3/4*b*sqrt(d)*e*n*polylog(2,1-2*sqrt(d)/(sqrt(d)-sqrt(e*x^2+d))),1],
[x^2*(e*x^2+d)^(3/2)*(a+b*ln(c*x^n)),x,17,-11/192*b*d^2*n*x*sqrt(e*x^2+d)/e-23/288*b*d*n*x^3*sqrt(e*x^2+d)-1/36*b*e*n*x^5*sqrt(e*x^2+d)-1/192*b*d^(5/2)*n*sqrt(e*x^2+d)*arcsinh(sqrt(e)*x/sqrt(d))/e^(3/2)/sqrt(1+e*x^2/d)-1/32*b*d^(5/2)*n*sqrt(e*x^2+d)*arcsinh(sqrt(e)*x/sqrt(d))^2/e^(3/2)/sqrt(1+e*x^2/d)+1/16*b*d^(5/2)*n*sqrt(e*x^2+d)*arcsinh(sqrt(e)*x/sqrt(d))*ln(1-exp(2*arcsinh(sqrt(e)*x/sqrt(d))))/e^(3/2)/sqrt(1+e*x^2/d)+1/16*d^2*x*sqrt(e*x^2+d)*(a+b*ln(c*x^n))/e+1/8*d*x^3*sqrt(e*x^2+d)*(a+b*ln(c*x^n))+1/6*x^3*(e*x^2+d)^(3/2)*(a+b*ln(c*x^n))-1/16*d^(5/2)*sqrt(e*x^2+d)*arcsinh(sqrt(e)*x/sqrt(d))*(a+b*ln(c*x^n))/e^(3/2)/sqrt(1+e*x^2/d)+1/32*b*d^(5/2)*n*sqrt(e*x^2+d)*polylog(2,exp(2*arcsinh(sqrt(e)*x/sqrt(d))))/e^(3/2)/sqrt(1+e*x^2/d),1],
[(e*x^2+d)^(3/2)*(a+b*ln(c*x^n)),x,14,-9/32*b*d*n*x*sqrt(e*x^2+d)-1/16*b*n*x*(e*x^2+d)^(3/2)+3/16*b*d^(5/2)*n*sqrt(1+e*x^2/d)*arcsinh(sqrt(e)*x/sqrt(d))^2/sqrt(e)/sqrt(e*x^2+d)-9/32*b*d^2*n*arctanh(sqrt(e)*x/sqrt(e*x^2+d))/sqrt(e)-3/8*b*d^(5/2)*n*sqrt(1+e*x^2/d)*arcsinh(sqrt(e)*x/sqrt(d))*ln(1-exp(2*arcsinh(sqrt(e)*x/sqrt(d))))/sqrt(e)/sqrt(e*x^2+d)+3/8*d*x*sqrt(e*x^2+d)*(a+b*ln(c*x^n))+1/4*x*(e*x^2+d)^(3/2)*(a+b*ln(c*x^n))+3/8*d^(5/2)*sqrt(1+e*x^2/d)*arcsinh(sqrt(e)*x/sqrt(d))*(a+b*ln(c*x^n))/sqrt(e)/sqrt(e*x^2+d)-3/16*b*d^(5/2)*n*sqrt(1+e*x^2/d)*polylog(2,exp(2*arcsinh(sqrt(e)*x/sqrt(d))))/sqrt(e)/sqrt(e*x^2+d),1],
[(e*x^2+d)^(3/2)*(a+b*ln(c*x^n))/x^2,x,12,-b*d*n*sqrt(e*x^2+d)/x-1/4*b*e*n*x*sqrt(e*x^2+d)+3/4*b*sqrt(d)*sqrt(e)*n*sqrt(e*x^2+d)*arcsinh(sqrt(e)*x/sqrt(d))/sqrt(1+e*x^2/d)+3/4*b*sqrt(d)*sqrt(e)*n*sqrt(e*x^2+d)*arcsinh(sqrt(e)*x/sqrt(d))^2/sqrt(1+e*x^2/d)-3/2*b*sqrt(d)*sqrt(e)*n*sqrt(e*x^2+d)*arcsinh(sqrt(e)*x/sqrt(d))*ln(1-exp(2*arcsinh(sqrt(e)*x/sqrt(d))))/sqrt(1+e*x^2/d)+3/2*e*x*sqrt(e*x^2+d)*(a+b*ln(c*x^n))-(e*x^2+d)^(3/2)*(a+b*ln(c*x^n))/x+3/2*sqrt(d)*sqrt(e)*sqrt(e*x^2+d)*arcsinh(sqrt(e)*x/sqrt(d))*(a+b*ln(c*x^n))/sqrt(1+e*x^2/d)-3/4*b*sqrt(d)*sqrt(e)*n*sqrt(e*x^2+d)*polylog(2,exp(2*arcsinh(sqrt(e)*x/sqrt(d))))/sqrt(1+e*x^2/d),1],
[(e*x^2+d)^(3/2)*(a+b*ln(c*x^n))/x^4,x,9,-4/3*b*e*n*sqrt(e*x^2+d)/x-1/9*b*n*(e*x^2+d)^(3/2)/x^3+4/3*b*e^(3/2)*n*sqrt(e*x^2+d)*arcsinh(sqrt(e)*x/sqrt(d))/sqrt(d)/sqrt(1+e*x^2/d)+1/2*b*e^(3/2)*n*sqrt(e*x^2+d)*arcsinh(sqrt(e)*x/sqrt(d))^2/sqrt(d)/sqrt(1+e*x^2/d)-b*e^(3/2)*n*sqrt(e*x^2+d)*arcsinh(sqrt(e)*x/sqrt(d))*ln(1-exp(2*arcsinh(sqrt(e)*x/sqrt(d))))/sqrt(d)/sqrt(1+e*x^2/d)-e*sqrt(e*x^2+d)*(a+b*ln(c*x^n))/x-1/3*(e*x^2+d)^(3/2)*(a+b*ln(c*x^n))/x^3+e^(3/2)*sqrt(e*x^2+d)*arcsinh(sqrt(e)*x/sqrt(d))*(a+b*ln(c*x^n))/sqrt(d)/sqrt(1+e*x^2/d)-1/2*b*e^(3/2)*n*sqrt(e*x^2+d)*polylog(2,exp(2*arcsinh(sqrt(e)*x/sqrt(d))))/sqrt(d)/sqrt(1+e*x^2/d),1],
[(e*x^2+d)^(3/2)*(a+b*ln(c*x^n))/x^6,x,6,-1/5*b*e^2*n*sqrt(e*x^2+d)/d/x-1/15*b*e*n*(e*x^2+d)^(3/2)/d/x^3-1/25*b*n*(e*x^2+d)^(5/2)/d/x^5+1/5*b*e^(5/2)*n*arctanh(sqrt(e)*x/sqrt(e*x^2+d))/d-1/5*(e*x^2+d)^(5/2)*(a+b*ln(c*x^n))/d/x^5,1],
[(e*x^2+d)^(3/2)*(a+b*ln(c*x^n))/x^8,x,8,2/35*b*e^3*n*sqrt(e*x^2+d)/d^2/x+2/105*b*e^2*n*(e*x^2+d)^(3/2)/d^2/x^3+2/175*b*e*n*(e*x^2+d)^(5/2)/d^2/x^5-1/49*b*n*(e*x^2+d)^(7/2)/d^2/x^7-2/35*b*e^(7/2)*n*arctanh(sqrt(e)*x/sqrt(e*x^2+d))/d^2-1/7*(e*x^2+d)^(5/2)*(a+b*ln(c*x^n))/d/x^7+2/35*e*(e*x^2+d)^(5/2)*(a+b*ln(c*x^n))/d^2/x^5,1],
[(e*x^2+d)^(3/2)*(a+b*ln(c*x^n))/x^10,x,9,-8/315*b*e^4*n*sqrt(e*x^2+d)/d^3/x-8/945*b*e^3*n*(e*x^2+d)^(3/2)/d^3/x^3-8/1575*b*e^2*n*(e*x^2+d)^(5/2)/d^3/x^5-1/81*b*n*(e*x^2+d)^(7/2)/d^2/x^9+50/3969*b*e*n*(e*x^2+d)^(7/2)/d^3/x^7+8/315*b*e^(9/2)*n*arctanh(sqrt(e)*x/sqrt(e*x^2+d))/d^3-1/9*(e*x^2+d)^(5/2)*(a+b*ln(c*x^n))/d/x^9+4/63*e*(e*x^2+d)^(5/2)*(a+b*ln(c*x^n))/d^2/x^7-8/315*e^2*(e*x^2+d)^(5/2)*(a+b*ln(c*x^n))/d^3/x^5,1],
[x*sqrt(x^2+4)*ln(x),x,6,-4/3*sqrt(x^2+4)-1/9*(x^2+4)^(3/2)+8/3*arctanh(1/2*sqrt(x^2+4))+1/3*(x^2+4)^(3/2)*ln(x),1],
[x^5*(a+b*ln(c*x^n))/sqrt(e*x^2+d),x,7,-8/15*b*d^2*n*sqrt(e*x^2+d)/e^3+7/45*b*d*n*(e*x^2+d)^(3/2)/e^3-1/25*b*n*(e*x^2+d)^(5/2)/e^3+8/15*b*d^(5/2)*n*arctanh(sqrt(e*x^2+d)/sqrt(d))/e^3+d^2*sqrt(e*x^2+d)*(a+b*ln(c*x^n))/e^3-2/3*d*(e*x^2+d)^(3/2)*(a+b*ln(c*x^n))/e^3+1/5*(e*x^2+d)^(5/2)*(a+b*ln(c*x^n))/e^3,1],
[x^3*(a+b*ln(c*x^n))/sqrt(e*x^2+d),x,7,2/3*b*d*n*sqrt(e*x^2+d)/e^2-1/9*b*n*(e*x^2+d)^(3/2)/e^2-2/3*b*d^(3/2)*n*arctanh(sqrt(e*x^2+d)/sqrt(d))/e^2-d*sqrt(e*x^2+d)*(a+b*ln(c*x^n))/e^2+1/3*(e*x^2+d)^(3/2)*(a+b*ln(c*x^n))/e^2,1],
[x*(a+b*ln(c*x^n))/sqrt(e*x^2+d),x,5,-b*n*sqrt(e*x^2+d)/e+b*sqrt(d)*n*arctanh(sqrt(e*x^2+d)/sqrt(d))/e+sqrt(e*x^2+d)*(a+b*ln(c*x^n))/e,1],
[(a+b*ln(c*x^n))/x/sqrt(e*x^2+d),x,8,1/2*b*n*arctanh(sqrt(e*x^2+d)/sqrt(d))^2/sqrt(d)-arctanh(sqrt(e*x^2+d)/sqrt(d))*(a+b*ln(c*x^n))/sqrt(d)-b*n*arctanh(sqrt(e*x^2+d)/sqrt(d))*ln(2*sqrt(d)/(sqrt(d)-sqrt(e*x^2+d)))/sqrt(d)-1/2*b*n*polylog(2,1-2*sqrt(d)/(sqrt(d)-sqrt(e*x^2+d)))/sqrt(d),1],
[(a+b*ln(c*x^n))/x^3/sqrt(e*x^2+d),x,14,-1/4*b*n*sqrt(e*x^2+d)/d/x^2-1/4*b*e*n*arctanh(sqrt(e*x^2+d)/sqrt(d))/d^(3/2)-1/4*b*e*n*arctanh(sqrt(e*x^2+d)/sqrt(d))^2/d^(3/2)-1/2*sqrt(e*x^2+d)*(a+b*ln(c*x^n))/d/x^2+1/2*e*arctanh(sqrt(e*x^2+d)/sqrt(d))*(a+b*ln(c*x^n))/d^(3/2)+1/2*b*e*n*arctanh(sqrt(e*x^2+d)/sqrt(d))*ln(2*sqrt(d)/(sqrt(d)-sqrt(e*x^2+d)))/d^(3/2)+1/4*b*e*n*polylog(2,1-2*sqrt(d)/(sqrt(d)-sqrt(e*x^2+d)))/d^(3/2),1],
[x^2*(a+b*ln(c*x^n))/sqrt(e*x^2+d),x,10,-1/4*b*n*x*sqrt(e*x^2+d)/e-1/4*b*d^(3/2)*n*sqrt(1+e*x^2/d)*arcsinh(sqrt(e)*x/sqrt(d))/e^(3/2)/sqrt(e*x^2+d)-1/4*b*d^(3/2)*n*sqrt(1+e*x^2/d)*arcsinh(sqrt(e)*x/sqrt(d))^2/e^(3/2)/sqrt(e*x^2+d)+1/2*b*d^(3/2)*n*sqrt(1+e*x^2/d)*arcsinh(sqrt(e)*x/sqrt(d))*ln(1-exp(2*arcsinh(sqrt(e)*x/sqrt(d))))/e^(3/2)/sqrt(e*x^2+d)+1/2*x*sqrt(e*x^2+d)*(a+b*ln(c*x^n))/e-1/2*d^(3/2)*sqrt(1+e*x^2/d)*arcsinh(sqrt(e)*x/sqrt(d))*(a+b*ln(c*x^n))/e^(3/2)/sqrt(e*x^2+d)+1/4*b*d^(3/2)*n*sqrt(1+e*x^2/d)*polylog(2,exp(2*arcsinh(sqrt(e)*x/sqrt(d))))/e^(3/2)/sqrt(e*x^2+d),1],
[(a+b*ln(c*x^n))/sqrt(e*x^2+d),x,5,1/2*b*sqrt(d)*n*sqrt(1+e*x^2/d)*arcsinh(sqrt(e)*x/sqrt(d))^2/sqrt(e)/sqrt(e*x^2+d)-b*sqrt(d)*n*sqrt(1+e*x^2/d)*arcsinh(sqrt(e)*x/sqrt(d))*ln(1-exp(2*arcsinh(sqrt(e)*x/sqrt(d))))/sqrt(e)/sqrt(e*x^2+d)+sqrt(d)*sqrt(1+e*x^2/d)*arcsinh(sqrt(e)*x/sqrt(d))*(a+b*ln(c*x^n))/sqrt(e)/sqrt(e*x^2+d)-1/2*b*sqrt(d)*n*sqrt(1+e*x^2/d)*polylog(2,exp(2*arcsinh(sqrt(e)*x/sqrt(d))))/sqrt(e)/sqrt(e*x^2+d),1],
[(a+b*ln(c*x^n))/x^2/sqrt(e*x^2+d),x,4,-b*n*sqrt(e*x^2+d)/d/x+b*sqrt(e)*n*arctanh(sqrt(e)*x/sqrt(e*x^2+d))/d-sqrt(e*x^2+d)*(a+b*ln(c*x^n))/d/x,1],
[(a+b*ln(c*x^n))/x^4/sqrt(e*x^2+d),x,6,2/3*b*e*n*sqrt(e*x^2+d)/d^2/x-1/9*b*n*(e*x^2+d)^(3/2)/d^2/x^3-2/3*b*e^(3/2)*n*arctanh(sqrt(e)*x/sqrt(e*x^2+d))/d^2-1/3*sqrt(e*x^2+d)*(a+b*ln(c*x^n))/d/x^3+2/3*e*sqrt(e*x^2+d)*(a+b*ln(c*x^n))/d^2/x,1],
[(a+b*ln(c*x^n))/x^6/sqrt(e*x^2+d),x,7,-8/15*b*e^2*n*sqrt(e*x^2+d)/d^3/x-1/25*b*n*(e*x^2+d)^(3/2)/d^2/x^5+26/225*b*e*n*(e*x^2+d)^(3/2)/d^3/x^3+8/15*b*e^(5/2)*n*arctanh(sqrt(e)*x/sqrt(e*x^2+d))/d^3-1/5*sqrt(e*x^2+d)*(a+b*ln(c*x^n))/d/x^5+4/15*e*sqrt(e*x^2+d)*(a+b*ln(c*x^n))/d^2/x^3-8/15*e^2*sqrt(e*x^2+d)*(a+b*ln(c*x^n))/d^3/x,1],
[x^7*(a+b*ln(c*x^n))/(e*x^2+d)^(3/2),x,7,-11/5*b*d^2*n*sqrt(e*x^2+d)/e^4+4/15*b*d*n*(e*x^2+d)^(3/2)/e^4-1/25*b*n*(e*x^2+d)^(5/2)/e^4+16/5*b*d^(5/2)*n*arctanh(sqrt(e*x^2+d)/sqrt(d))/e^4+d^3*(a+b*ln(c*x^n))/e^4/sqrt(e*x^2+d)+3*d^2*sqrt(e*x^2+d)*(a+b*ln(c*x^n))/e^4-d*(e*x^2+d)^(3/2)*(a+b*ln(c*x^n))/e^4+1/5*(e*x^2+d)^(5/2)*(a+b*ln(c*x^n))/e^4,1],
[x^5*(a+b*ln(c*x^n))/(e*x^2+d)^(3/2),x,7,5/3*b*d*n*sqrt(e*x^2+d)/e^3-1/9*b*n*(e*x^2+d)^(3/2)/e^3-8/3*b*d^(3/2)*n*arctanh(sqrt(e*x^2+d)/sqrt(d))/e^3-d^2*(a+b*ln(c*x^n))/e^3/sqrt(e*x^2+d)-2*d*sqrt(e*x^2+d)*(a+b*ln(c*x^n))/e^3+1/3*(e*x^2+d)^(3/2)*(a+b*ln(c*x^n))/e^3,1],
[x^3*(a+b*ln(c*x^n))/(e*x^2+d)^(3/2),x,6,-b*n*sqrt(e*x^2+d)/e^2+2*b*sqrt(d)*n*arctanh(sqrt(e*x^2+d)/sqrt(d))/e^2+d*(a+b*ln(c*x^n))/e^2/sqrt(e*x^2+d)+sqrt(e*x^2+d)*(a+b*ln(c*x^n))/e^2,1],
[x*(a+b*ln(c*x^n))/(e*x^2+d)^(3/2),x,4,-b*n*arctanh(sqrt(e*x^2+d)/sqrt(d))/sqrt(d)/e-(a+b*ln(c*x^n))/e/sqrt(e*x^2+d),1],
[(a+b*ln(c*x^n))/x/(e*x^2+d)^(3/2),x,11,b*n*arctanh(sqrt(e*x^2+d)/sqrt(d))/d^(3/2)+1/2*b*n*arctanh(sqrt(e*x^2+d)/sqrt(d))^2/d^(3/2)+(1/d/sqrt(e*x^2+d)-arctanh(sqrt(e*x^2+d)/sqrt(d))/d^(3/2))*(a+b*ln(c*x^n))-b*n*arctanh(sqrt(e*x^2+d)/sqrt(d))*ln(2*sqrt(d)/(sqrt(d)-sqrt(e*x^2+d)))/d^(3/2)-1/2*b*n*polylog(2,1-2*sqrt(d)/(sqrt(d)-sqrt(e*x^2+d)))/d^(3/2),1],
[(a+b*ln(c*x^n))/x^3/(e*x^2+d)^(3/2),x,12,-1/4*b*n*sqrt(e*x^2+d)/d^2/x^2-5/4*b*e*n*arctanh(sqrt(e*x^2+d)/sqrt(d))/d^(5/2)-3/4*b*e*n*arctanh(sqrt(e*x^2+d)/sqrt(d))^2/d^(5/2)-3/2*e*(a+b*ln(c*x^n))/d^2/sqrt(e*x^2+d)-1/2*(a+b*ln(c*x^n))/d/x^2/sqrt(e*x^2+d)+3/2*e*arctanh(sqrt(e*x^2+d)/sqrt(d))*(a+b*ln(c*x^n))/d^(5/2)+3/2*b*e*n*arctanh(sqrt(e*x^2+d)/sqrt(d))*ln(2*sqrt(d)/(sqrt(d)-sqrt(e*x^2+d)))/d^(5/2)+3/4*b*e*n*polylog(2,1-2*sqrt(d)/(sqrt(d)-sqrt(e*x^2+d)))/d^(5/2),1],
[x^2*(a+b*ln(c*x^n))/(e*x^2+d)^(3/2),x,9,b*sqrt(d)*n*sqrt(1+e*x^2/d)*arcsinh(sqrt(e)*x/sqrt(d))/e^(3/2)/sqrt(e*x^2+d)+1/2*b*sqrt(d)*n*sqrt(1+e*x^2/d)*arcsinh(sqrt(e)*x/sqrt(d))^2/e^(3/2)/sqrt(e*x^2+d)-b*sqrt(d)*n*sqrt(1+e*x^2/d)*arcsinh(sqrt(e)*x/sqrt(d))*ln(1-exp(2*arcsinh(sqrt(e)*x/sqrt(d))))/e^(3/2)/sqrt(e*x^2+d)-x*(a+b*ln(c*x^n))/e/sqrt(e*x^2+d)+sqrt(d)*sqrt(1+e*x^2/d)*arcsinh(sqrt(e)*x/sqrt(d))*(a+b*ln(c*x^n))/e^(3/2)/sqrt(e*x^2+d)-1/2*b*sqrt(d)*n*sqrt(1+e*x^2/d)*polylog(2,exp(2*arcsinh(sqrt(e)*x/sqrt(d))))/e^(3/2)/sqrt(e*x^2+d),1],
[(a+b*ln(c*x^n))/(e*x^2+d)^(3/2),x,3,-b*n*arctanh(sqrt(e)*x/sqrt(e*x^2+d))/d/sqrt(e)+x*(a+b*ln(c*x^n))/d/sqrt(e*x^2+d),1],
[(a+b*ln(c*x^n))/x^2/(e*x^2+d)^(3/2),x,5,-b*n*sqrt(e*x^2+d)/d^2/x+2*b*sqrt(e)*n*arctanh(sqrt(e)*x/sqrt(e*x^2+d))/d^2+(a+b*ln(c*x^n))/d/x/sqrt(e*x^2+d)-2*sqrt(e*x^2+d)*(a+b*ln(c*x^n))/d^2/x,1],
[(a+b*ln(c*x^n))/x^4/(e*x^2+d)^(3/2),x,6,-1/9*b*n*sqrt(e*x^2+d)/d^2/x^3+14/9*b*e*n*sqrt(e*x^2+d)/d^3/x-8/3*b*e^(3/2)*n*arctanh(sqrt(e)*x/sqrt(e*x^2+d))/d^3+(a+b*ln(c*x^n))/d/x^3/sqrt(e*x^2+d)-4/3*sqrt(e*x^2+d)*(a+b*ln(c*x^n))/d^2/x^3+8/3*e*sqrt(e*x^2+d)*(a+b*ln(c*x^n))/d^3/x,1],
[(a+b*ln(c*x^n))/x^6/(e*x^2+d)^(3/2),x,7,-1/25*b*n*sqrt(e*x^2+d)/d^2/x^5+14/75*b*e*n*sqrt(e*x^2+d)/d^3/x^3-148/75*b*e^2*n*sqrt(e*x^2+d)/d^4/x+16/5*b*e^(5/2)*n*arctanh(sqrt(e)*x/sqrt(e*x^2+d))/d^4+(a+b*ln(c*x^n))/d/x^5/sqrt(e*x^2+d)-6/5*sqrt(e*x^2+d)*(a+b*ln(c*x^n))/d^2/x^5+8/5*e*sqrt(e*x^2+d)*(a+b*ln(c*x^n))/d^3/x^3-16/5*e^2*sqrt(e*x^2+d)*(a+b*ln(c*x^n))/d^4/x,1],
[x^7*(a+b*ln(c*x^n))/(e*x^2+d)^(5/2),x,7,-1/3*b*d^2*n/e^4/sqrt(e*x^2+d)+8/3*b*d*n*sqrt(e*x^2+d)/e^4-1/9*b*n*(e*x^2+d)^(3/2)/e^4-16/3*b*d^(3/2)*n*arctanh(sqrt(e*x^2+d)/sqrt(d))/e^4+1/3*d^3*(a+b*ln(c*x^n))/e^4/(e*x^2+d)^(3/2)-3*d^2*(a+b*ln(c*x^n))/e^4/sqrt(e*x^2+d)-3*d*sqrt(e*x^2+d)*(a+b*ln(c*x^n))/e^4+1/3*(e*x^2+d)^(3/2)*(a+b*ln(c*x^n))/e^4,1],
[x^5*(a+b*ln(c*x^n))/(e*x^2+d)^(5/2),x,7,1/3*b*d*n/e^3/sqrt(e*x^2+d)-b*n*sqrt(e*x^2+d)/e^3+8/3*b*sqrt(d)*n*arctanh(sqrt(e*x^2+d)/sqrt(d))/e^3-1/3*d^2*(a+b*ln(c*x^n))/e^3/(e*x^2+d)^(3/2)+2*d*(a+b*ln(c*x^n))/e^3/sqrt(e*x^2+d)+sqrt(e*x^2+d)*(a+b*ln(c*x^n))/e^3,1],
[x^3*(a+b*ln(c*x^n))/(e*x^2+d)^(5/2),x,6,-1/3*b*n/e^2/sqrt(e*x^2+d)-2/3*b*n*arctanh(sqrt(e*x^2+d)/sqrt(d))/sqrt(d)/e^2+1/3*d*(a+b*ln(c*x^n))/e^2/(e*x^2+d)^(3/2)-(a+b*ln(c*x^n))/e^2/sqrt(e*x^2+d),1],
[x*(a+b*ln(c*x^n))/(e*x^2+d)^(5/2),x,5,1/3*b*n/d/e/sqrt(e*x^2+d)-1/3*b*n*arctanh(sqrt(e*x^2+d)/sqrt(d))/d^(3/2)/e-1/3*(a+b*ln(c*x^n))/e/(e*x^2+d)^(3/2),1],
[(a+b*ln(c*x^n))/x/(e*x^2+d)^(5/2),x,15,-1/3*b*n/d^2/sqrt(e*x^2+d)+4/3*b*n*arctanh(sqrt(e*x^2+d)/sqrt(d))/d^(5/2)+1/2*b*n*arctanh(sqrt(e*x^2+d)/sqrt(d))^2/d^(5/2)+1/3*(1/d/(e*x^2+d)^(3/2)+3/d^2/sqrt(e*x^2+d)-3*arctanh(sqrt(e*x^2+d)/sqrt(d))/d^(5/2))*(a+b*ln(c*x^n))-b*n*arctanh(sqrt(e*x^2+d)/sqrt(d))*ln(2*sqrt(d)/(sqrt(d)-sqrt(e*x^2+d)))/d^(5/2)-1/2*b*n*polylog(2,1-2*sqrt(d)/(sqrt(d)-sqrt(e*x^2+d)))/d^(5/2),1],
[(a+b*ln(c*x^n))/x^3/(e*x^2+d)^(5/2),x,13,1/3*b*e*n/d^3/sqrt(e*x^2+d)-1/4*b*n*sqrt(e*x^2+d)/d^3/x^2-31/12*b*e*n*arctanh(sqrt(e*x^2+d)/sqrt(d))/d^(7/2)-5/4*b*e*n*arctanh(sqrt(e*x^2+d)/sqrt(d))^2/d^(7/2)-5/6*e*(a+b*ln(c*x^n))/d^2/(e*x^2+d)^(3/2)-1/2*(a+b*ln(c*x^n))/d/x^2/(e*x^2+d)^(3/2)-5/2*e*(a+b*ln(c*x^n))/d^3/sqrt(e*x^2+d)+5/2*e*arctanh(sqrt(e*x^2+d)/sqrt(d))*(a+b*ln(c*x^n))/d^(7/2)+5/2*b*e*n*arctanh(sqrt(e*x^2+d)/sqrt(d))*ln(2*sqrt(d)/(sqrt(d)-sqrt(e*x^2+d)))/d^(7/2)+5/4*b*e*n*polylog(2,1-2*sqrt(d)/(sqrt(d)-sqrt(e*x^2+d)))/d^(7/2),1],
[x^6*(a+b*ln(c*x^n))/(e*x^2+d)^(5/2),x,10,1/3*b*d*n*x/e^3/sqrt(e*x^2+d)-1/4*b*n*x*sqrt(e*x^2+d)/e^3-31/12*b*d^(3/2)*n*sqrt(1+e*x^2/d)*arcsinh(sqrt(e)*x/sqrt(d))/e^(7/2)/sqrt(e*x^2+d)-5/4*b*d^(3/2)*n*sqrt(1+e*x^2/d)*arcsinh(sqrt(e)*x/sqrt(d))^2/e^(7/2)/sqrt(e*x^2+d)+5/2*b*d^(3/2)*n*sqrt(1+e*x^2/d)*arcsinh(sqrt(e)*x/sqrt(d))*ln(1-exp(2*arcsinh(sqrt(e)*x/sqrt(d))))/e^(7/2)/sqrt(e*x^2+d)-1/3*x^5*(a+b*ln(c*x^n))/e/(e*x^2+d)^(3/2)-5/3*x^3*(a+b*ln(c*x^n))/e^2/sqrt(e*x^2+d)+5/2*x*sqrt(e*x^2+d)*(a+b*ln(c*x^n))/e^3-5/2*d^(3/2)*sqrt(1+e*x^2/d)*arcsinh(sqrt(e)*x/sqrt(d))*(a+b*ln(c*x^n))/e^(7/2)/sqrt(e*x^2+d)+5/4*b*d^(3/2)*n*sqrt(1+e*x^2/d)*polylog(2,exp(2*arcsinh(sqrt(e)*x/sqrt(d))))/e^(7/2)/sqrt(e*x^2+d),1],
[x^4*(a+b*ln(c*x^n))/(e*x^2+d)^(5/2),x,9,-1/3*b*n*x/e^2/sqrt(e*x^2+d)+4/3*b*sqrt(d)*n*sqrt(1+e*x^2/d)*arcsinh(sqrt(e)*x/sqrt(d))/e^(5/2)/sqrt(e*x^2+d)+1/2*b*sqrt(d)*n*sqrt(1+e*x^2/d)*arcsinh(sqrt(e)*x/sqrt(d))^2/e^(5/2)/sqrt(e*x^2+d)-b*sqrt(d)*n*sqrt(1+e*x^2/d)*arcsinh(sqrt(e)*x/sqrt(d))*ln(1-exp(2*arcsinh(sqrt(e)*x/sqrt(d))))/e^(5/2)/sqrt(e*x^2+d)-1/3*x^3*(a+b*ln(c*x^n))/e/(e*x^2+d)^(3/2)-x*(a+b*ln(c*x^n))/e^2/sqrt(e*x^2+d)+sqrt(d)*sqrt(1+e*x^2/d)*arcsinh(sqrt(e)*x/sqrt(d))*(a+b*ln(c*x^n))/e^(5/2)/sqrt(e*x^2+d)-1/2*b*sqrt(d)*n*sqrt(1+e*x^2/d)*polylog(2,exp(2*arcsinh(sqrt(e)*x/sqrt(d))))/e^(5/2)/sqrt(e*x^2+d),1],
[x^2*(a+b*ln(c*x^n))/(e*x^2+d)^(5/2),x,4,1/3*b*n*x/d/e/sqrt(e*x^2+d)-1/3*b*n*arctanh(sqrt(e)*x/sqrt(e*x^2+d))/d/e^(3/2)+1/3*x^3*(a+b*ln(c*x^n))/d/(e*x^2+d)^(3/2),1],
[(a+b*ln(c*x^n))/(e*x^2+d)^(5/2),x,5,-1/3*b*n*x/d^2/sqrt(e*x^2+d)-2/3*b*n*arctanh(sqrt(e)*x/sqrt(e*x^2+d))/d^2/sqrt(e)+1/3*x*(a+b*ln(c*x^n))/d/(e*x^2+d)^(3/2)+2/3*x*(a+b*ln(c*x^n))/d^2/sqrt(e*x^2+d),1],
[(a+b*ln(c*x^n))/x^2/(e*x^2+d)^(5/2),x,6,1/3*b*e*n*x/d^3/sqrt(e*x^2+d)-b*n*sqrt(e*x^2+d)/d^3/x+8/3*b*sqrt(e)*n*arctanh(sqrt(e)*x/sqrt(e*x^2+d))/d^3+1/3*(a+b*ln(c*x^n))/d/x/(e*x^2+d)^(3/2)+4/3*(a+b*ln(c*x^n))/d^2/x/sqrt(e*x^2+d)-8/3*sqrt(e*x^2+d)*(a+b*ln(c*x^n))/d^3/x,1],
[(a+b*ln(c*x^n))/x^4/(e*x^2+d)^(5/2),x,7,-1/3*b*e^2*n*x/d^4/sqrt(e*x^2+d)-1/9*b*n*sqrt(e*x^2+d)/d^3/x^3+23/9*b*e*n*sqrt(e*x^2+d)/d^4/x-16/3*b*e^(3/2)*n*arctanh(sqrt(e)*x/sqrt(e*x^2+d))/d^4+1/3*(a+b*ln(c*x^n))/d/x^3/(e*x^2+d)^(3/2)+2*(a+b*ln(c*x^n))/d^2/x^3/sqrt(e*x^2+d)-8/3*sqrt(e*x^2+d)*(a+b*ln(c*x^n))/d^3/x^3+16/3*e*sqrt(e*x^2+d)*(a+b*ln(c*x^n))/d^4/x,1],
[x^3*(a+b*ln(c*x^n))/sqrt(-e*x+d)/sqrt(e*x+d),x,8,2/3*b*d^2*n*(-e^2*x^2+d^2)/e^4/sqrt(-e*x+d)/sqrt(e*x+d)-1/9*b*n*(-e^2*x^2+d^2)^2/e^4/sqrt(-e*x+d)/sqrt(e*x+d)-2/3*b*d^4*n*sqrt(1-e^2*x^2/d^2)*arctanh(sqrt(1-e^2*x^2/d^2))/e^4/sqrt(-e*x+d)/sqrt(e*x+d)-d^2*(-e^2*x^2+d^2)*(a+b*ln(c*x^n))/e^4/sqrt(-e*x+d)/sqrt(e*x+d)+1/3*(-e^2*x^2+d^2)^2*(a+b*ln(c*x^n))/e^4/sqrt(-e*x+d)/sqrt(e*x+d),1],
[x*(a+b*ln(c*x^n))/sqrt(-e*x+d)/sqrt(e*x+d),x,6,b*n*(-e^2*x^2+d^2)/e^2/sqrt(-e*x+d)/sqrt(e*x+d)-b*d^2*n*sqrt(1-e^2*x^2/d^2)*arctanh(sqrt(1-e^2*x^2/d^2))/e^2/sqrt(-e*x+d)/sqrt(e*x+d)-(-e^2*x^2+d^2)*(a+b*ln(c*x^n))/e^2/sqrt(-e*x+d)/sqrt(e*x+d),1],
[(a+b*ln(c*x^n))/x/sqrt(-e*x+d)/sqrt(e*x+d),x,8,1/2*b*n*sqrt(1-e^2*x^2/d^2)*arctanh(sqrt(1-e^2*x^2/d^2))^2/sqrt(-e*x+d)/sqrt(e*x+d)-sqrt(1-e^2*x^2/d^2)*arctanh(sqrt(1-e^2*x^2/d^2))*(a+b*ln(c*x^n))/sqrt(-e*x+d)/sqrt(e*x+d)-b*n*sqrt(1-e^2*x^2/d^2)*arctanh(sqrt(1-e^2*x^2/d^2))*ln(2/(1-sqrt(1-e^2*x^2/d^2)))/sqrt(-e*x+d)/sqrt(e*x+d)-1/2*b*n*sqrt(1-e^2*x^2/d^2)*polylog(2,-(1+sqrt(1-e^2*x^2/d^2))/(1-sqrt(1-e^2*x^2/d^2)))/sqrt(-e*x+d)/sqrt(e*x+d),1],
[(a+b*ln(c*x^n))/x^3/sqrt(-e*x+d)/sqrt(e*x+d),x,13,-1/4*b*n*(-e^2*x^2+d^2)/d^2/x^2/sqrt(-e*x+d)/sqrt(e*x+d)+1/4*b*e^2*n*sqrt(1-e^2*x^2/d^2)*arctanh(sqrt(1-e^2*x^2/d^2))/d^2/sqrt(-e*x+d)/sqrt(e*x+d)+1/4*b*e^2*n*sqrt(1-e^2*x^2/d^2)*arctanh(sqrt(1-e^2*x^2/d^2))^2/d^2/sqrt(-e*x+d)/sqrt(e*x+d)-1/2*(-e^2*x^2+d^2)*(a+b*ln(c*x^n))/d^2/x^2/sqrt(-e*x+d)/sqrt(e*x+d)-1/2*e^2*sqrt(1-e^2*x^2/d^2)*arctanh(sqrt(1-e^2*x^2/d^2))*(a+b*ln(c*x^n))/d^2/sqrt(-e*x+d)/sqrt(e*x+d)-1/2*b*e^2*n*sqrt(1-e^2*x^2/d^2)*arctanh(sqrt(1-e^2*x^2/d^2))*ln(2/(1-sqrt(1-e^2*x^2/d^2)))/d^2/sqrt(-e*x+d)/sqrt(e*x+d)-1/4*b*e^2*n*sqrt(1-e^2*x^2/d^2)*polylog(2,-(1+sqrt(1-e^2*x^2/d^2))/(1-sqrt(1-e^2*x^2/d^2)))/d^2/sqrt(-e*x+d)/sqrt(e*x+d),1],
[x^2*(a+b*ln(c*x^n))/sqrt(-e*x+d)/sqrt(e*x+d),x,10,1/4*b*n*x*(-e^2*x^2+d^2)/e^2/sqrt(-e*x+d)/sqrt(e*x+d)+1/4*b*d^3*n*sqrt(1-e^2*x^2/d^2)*arcsin(e*x/d)/e^3/sqrt(-e*x+d)/sqrt(e*x+d)+1/4*I*b*d^3*n*sqrt(1-e^2*x^2/d^2)*arcsin(e*x/d)^2/e^3/sqrt(-e*x+d)/sqrt(e*x+d)-1/2*b*d^3*n*sqrt(1-e^2*x^2/d^2)*arcsin(e*x/d)*ln(1-exp(2*I*arcsin(e*x/d)))/e^3/sqrt(-e*x+d)/sqrt(e*x+d)-1/2*x*(-e^2*x^2+d^2)*(a+b*ln(c*x^n))/e^2/sqrt(-e*x+d)/sqrt(e*x+d)+1/2*d^3*sqrt(1-e^2*x^2/d^2)*arcsin(e*x/d)*(a+b*ln(c*x^n))/e^3/sqrt(-e*x+d)/sqrt(e*x+d)+1/4*I*b*d^3*n*sqrt(1-e^2*x^2/d^2)*polylog(2,exp(2*I*arcsin(e*x/d)))/e^3/sqrt(-e*x+d)/sqrt(e*x+d),1],
[(a+b*ln(c*x^n))/sqrt(-e*x+d)/sqrt(e*x+d),x,5,1/2*I*b*d*n*sqrt(1-e^2*x^2/d^2)*arcsin(e*x/d)^2/e/sqrt(-e*x+d)/sqrt(e*x+d)-b*d*n*sqrt(1-e^2*x^2/d^2)*arcsin(e*x/d)*ln(1-exp(2*I*arcsin(e*x/d)))/e/sqrt(-e*x+d)/sqrt(e*x+d)+d*sqrt(1-e^2*x^2/d^2)*arcsin(e*x/d)*(a+b*ln(c*x^n))/e/sqrt(-e*x+d)/sqrt(e*x+d)+1/2*I*b*d*n*sqrt(1-e^2*x^2/d^2)*polylog(2,exp(2*I*arcsin(e*x/d)))/e/sqrt(-e*x+d)/sqrt(e*x+d),1],
[(a+b*ln(c*x^n))/x^2/sqrt(-e*x+d)/sqrt(e*x+d),x,4,-b*n*(-e^2*x^2+d^2)/d^2/x/sqrt(-e*x+d)/sqrt(e*x+d)-b*e*n*sqrt(1-e^2*x^2/d^2)*arcsin(e*x/d)/d/sqrt(-e*x+d)/sqrt(e*x+d)-(-e^2*x^2+d^2)*(a+b*ln(c*x^n))/d^2/x/sqrt(-e*x+d)/sqrt(e*x+d),1],
[(a+b*ln(c*x^n))/x^4/sqrt(-e*x+d)/sqrt(e*x+d),x,6,-2/3*b*e^2*n*(-e^2*x^2+d^2)/d^4/x/sqrt(-e*x+d)/sqrt(e*x+d)-1/9*b*n*(-e^2*x^2+d^2)^2/d^4/x^3/sqrt(-e*x+d)/sqrt(e*x+d)-2/3*b*e^3*n*sqrt(1-e^2*x^2/d^2)*arcsin(e*x/d)/d^3/sqrt(-e*x+d)/sqrt(e*x+d)-1/3*(-e^2*x^2+d^2)*(a+b*ln(c*x^n))/d^2/x^3/sqrt(-e*x+d)/sqrt(e*x+d)-2/3*e^2*(-e^2*x^2+d^2)*(a+b*ln(c*x^n))/d^4/x/sqrt(-e*x+d)/sqrt(e*x+d),1],
[x*ln(x)/sqrt(x^2-1),x,5,-sqrt(x^2-1)+arctan(sqrt(x^2-1))+sqrt(x^2-1)*ln(x),1],
[(f*x)^m*(e*x^2+d)^3*(a+b*ln(c*x^n)),x,3,-b*d^3*n*(f*x)^(1+m)/f/(1+m)^2-3*b*d^2*e*n*(f*x)^(3+m)/f^3/(3+m)^2-3*b*d*e^2*n*(f*x)^(5+m)/f^5/(5+m)^2-b*e^3*n*(f*x)^(7+m)/f^7/(7+m)^2+d^3*(f*x)^(1+m)*(a+b*ln(c*x^n))/f/(1+m)+3*d^2*e*(f*x)^(3+m)*(a+b*ln(c*x^n))/f^3/(3+m)+3*d*e^2*(f*x)^(5+m)*(a+b*ln(c*x^n))/f^5/(5+m)+e^3*(f*x)^(7+m)*(a+b*ln(c*x^n))/f^7/(7+m),1],
[(f*x)^m*(e*x^2+d)^2*(a+b*ln(c*x^n)),x,5,-b*d^2*n*(f*x)^(1+m)/f/(1+m)^2-2*b*d*e*n*(f*x)^(3+m)/f^3/(3+m)^2-b*e^2*n*(f*x)^(5+m)/f^5/(5+m)^2+d^2*(f*x)^(1+m)*(a+b*ln(c*x^n))/f/(1+m)+2*d*e*(f*x)^(3+m)*(a+b*ln(c*x^n))/f^3/(3+m)+e^2*(f*x)^(5+m)*(a+b*ln(c*x^n))/f^5/(5+m),1],
[(f*x)^m*(e*x^2+d)*(a+b*ln(c*x^n)),x,4,-b*d*n*(f*x)^(1+m)/f/(1+m)^2-b*e*n*(f*x)^(3+m)/f^3/(3+m)^2+d*(f*x)^(1+m)*(a+b*ln(c*x^n))/f/(1+m)+e*(f*x)^(3+m)*(a+b*ln(c*x^n))/f^3/(3+m),1],
[(f*x)^m*(a+b*ln(c*x^n)),x,1,-b*n*(f*x)^(1+m)/f/(1+m)^2+(f*x)^(1+m)*(a+b*ln(c*x^n))/f/(1+m),1],
[(f*x)^m*(a+b*ln(c*x^n))/(e*x^2+d),x,0,Defer(Int)((f*x)^m*(a+b*ln(c*x^n))/(e*x^2+d),x),0],
[(f*x)^m*(a+b*ln(c*x^n))/(e*x^2+d)^2,x,0,Defer(Int)((f*x)^m*(a+b*ln(c*x^n))/(e*x^2+d)^2,x),0],
[(a+b*ln(c*x^n))^3/(e*x^3+d)^2,x,26,1/9*x*(a+b*ln(c*x^n))^3/d^(5/3)/(d^(1/3)+e^(1/3)*x)-(-1)^(1/3)*x*(a+b*ln(c*x^n))^3/(1+(-1)^(1/3))^4/d^(5/3)/((-1)^(2/3)*d^(1/3)+e^(1/3)*x)+1/9*x*(a+b*ln(c*x^n))^3/d^(5/3)/(d^(1/3)+(-1)^(2/3)*e^(1/3)*x)-1/3*b*n*(a+b*ln(c*x^n))^2*ln(1+e^(1/3)*x/d^(1/3))/d^(5/3)/e^(1/3)+2/9*(a+b*ln(c*x^n))^3*ln(1+e^(1/3)*x/d^(1/3))/d^(5/3)/e^(1/3)+3*(-1)^(1/3)*b*n*(a+b*ln(c*x^n))^2*ln(1-(-1)^(1/3)*e^(1/3)*x/d^(1/3))/(1+(-1)^(1/3))^4/d^(5/3)/e^(1/3)+12*I*sqrt(3)*b^2*n^2*(a+b*ln(c*x^n))*polylog(3,(-1)^(1/3)*e^(1/3)*x/d^(1/3))/(1+(-1)^(1/3))^5/d^(5/3)/e^(1/3)+1/3*(-1)^(1/3)*b*n*(a+b*ln(c*x^n))^2*ln(1+(-1)^(2/3)*e^(1/3)*x/d^(1/3))/d^(5/3)/e^(1/3)+2*(a+b*ln(c*x^n))^3*ln(1+(-1)^(2/3)*e^(1/3)*x/d^(1/3))/(1+(-1)^(1/3))^4/d^(5/3)/e^(1/3)-2/3*b^2*n^2*(a+b*ln(c*x^n))*polylog(2,-e^(1/3)*x/d^(1/3))/d^(5/3)/e^(1/3)+2/3*b*n*(a+b*ln(c*x^n))^2*polylog(2,-e^(1/3)*x/d^(1/3))/d^(5/3)/e^(1/3)+6*(-1)^(1/3)*b^2*n^2*(a+b*ln(c*x^n))*polylog(2,(-1)^(1/3)*e^(1/3)*x/d^(1/3))/(1+(-1)^(1/3))^4/d^(5/3)/e^(1/3)-12*I*sqrt(3)*b^3*n^3*polylog(4,(-1)^(1/3)*e^(1/3)*x/d^(1/3))/(1+(-1)^(1/3))^5/d^(5/3)/e^(1/3)+2/3*(-1)^(1/3)*b^2*n^2*(a+b*ln(c*x^n))*polylog(2,-(-1)^(2/3)*e^(1/3)*x/d^(1/3))/d^(5/3)/e^(1/3)+6*b*n*(a+b*ln(c*x^n))^2*polylog(2,-(-1)^(2/3)*e^(1/3)*x/d^(1/3))/(1+(-1)^(1/3))^4/d^(5/3)/e^(1/3)+2/3*b^3*n^3*polylog(3,-e^(1/3)*x/d^(1/3))/d^(5/3)/e^(1/3)-4/3*b^2*n^2*(a+b*ln(c*x^n))*polylog(3,-e^(1/3)*x/d^(1/3))/d^(5/3)/e^(1/3)-6*(-1)^(1/3)*b^3*n^3*polylog(3,(-1)^(1/3)*e^(1/3)*x/d^(1/3))/(1+(-1)^(1/3))^4/d^(5/3)/e^(1/3)-6*I*sqrt(3)*b*n*(a+b*ln(c*x^n))^2*polylog(2,(-1)^(1/3)*e^(1/3)*x/d^(1/3))/(1+(-1)^(1/3))^5/d^(5/3)/e^(1/3)-2/3*(-1)^(1/3)*b^3*n^3*polylog(3,-(-1)^(2/3)*e^(1/3)*x/d^(1/3))/d^(5/3)/e^(1/3)-12*b^2*n^2*(a+b*ln(c*x^n))*polylog(3,-(-1)^(2/3)*e^(1/3)*x/d^(1/3))/(1+(-1)^(1/3))^4/d^(5/3)/e^(1/3)+4/3*b^3*n^3*polylog(4,-e^(1/3)*x/d^(1/3))/d^(5/3)/e^(1/3)-2*I*sqrt(3)*(a+b*ln(c*x^n))^3*ln(1-(-1)^(1/3)*e^(1/3)*x/d^(1/3))/(1+(-1)^(1/3))^5/d^(5/3)/e^(1/3)+12*b^3*n^3*polylog(4,-(-1)^(2/3)*e^(1/3)*x/d^(1/3))/(1+(-1)^(1/3))^4/d^(5/3)/e^(1/3),1],
[(a+b*ln(c*x^n))^2/(e*x^3+d)^2,x,20,1/9*x*(a+b*ln(c*x^n))^2/d^(5/3)/(d^(1/3)+e^(1/3)*x)-(-1)^(1/3)*x*(a+b*ln(c*x^n))^2/(1+(-1)^(1/3))^4/d^(5/3)/((-1)^(2/3)*d^(1/3)+e^(1/3)*x)+1/9*x*(a+b*ln(c*x^n))^2/d^(5/3)/(d^(1/3)+(-1)^(2/3)*e^(1/3)*x)-2/9*b*n*(a+b*ln(c*x^n))*ln(1+e^(1/3)*x/d^(1/3))/d^(5/3)/e^(1/3)+2/9*(a+b*ln(c*x^n))^2*ln(1+e^(1/3)*x/d^(1/3))/d^(5/3)/e^(1/3)+2*(-1)^(1/3)*b*n*(a+b*ln(c*x^n))*ln(1-(-1)^(1/3)*e^(1/3)*x/d^(1/3))/(1+(-1)^(1/3))^4/d^(5/3)/e^(1/3)+4*I*sqrt(3)*b^2*n^2*polylog(3,(-1)^(1/3)*e^(1/3)*x/d^(1/3))/(1+(-1)^(1/3))^5/d^(5/3)/e^(1/3)+2/9*(-1)^(1/3)*b*n*(a+b*ln(c*x^n))*ln(1+(-1)^(2/3)*e^(1/3)*x/d^(1/3))/d^(5/3)/e^(1/3)+2*(a+b*ln(c*x^n))^2*ln(1+(-1)^(2/3)*e^(1/3)*x/d^(1/3))/(1+(-1)^(1/3))^4/d^(5/3)/e^(1/3)-2/9*b^2*n^2*polylog(2,-e^(1/3)*x/d^(1/3))/d^(5/3)/e^(1/3)+4/9*b*n*(a+b*ln(c*x^n))*polylog(2,-e^(1/3)*x/d^(1/3))/d^(5/3)/e^(1/3)+2*(-1)^(1/3)*b^2*n^2*polylog(2,(-1)^(1/3)*e^(1/3)*x/d^(1/3))/(1+(-1)^(1/3))^4/d^(5/3)/e^(1/3)-2*I*sqrt(3)*(a+b*ln(c*x^n))^2*ln(1-(-1)^(1/3)*e^(1/3)*x/d^(1/3))/(1+(-1)^(1/3))^5/d^(5/3)/e^(1/3)+2/9*(-1)^(1/3)*b^2*n^2*polylog(2,-(-1)^(2/3)*e^(1/3)*x/d^(1/3))/d^(5/3)/e^(1/3)+4*b*n*(a+b*ln(c*x^n))*polylog(2,-(-1)^(2/3)*e^(1/3)*x/d^(1/3))/(1+(-1)^(1/3))^4/d^(5/3)/e^(1/3)-4/9*b^2*n^2*polylog(3,-e^(1/3)*x/d^(1/3))/d^(5/3)/e^(1/3)-4*I*sqrt(3)*b*n*(a+b*ln(c*x^n))*polylog(2,(-1)^(1/3)*e^(1/3)*x/d^(1/3))/(1+(-1)^(1/3))^5/d^(5/3)/e^(1/3)-4*b^2*n^2*polylog(3,-(-1)^(2/3)*e^(1/3)*x/d^(1/3))/(1+(-1)^(1/3))^4/d^(5/3)/e^(1/3),1],
[(a+b*ln(c*x^n))/(e*x^3+d)^2,x,14,1/9*x*(a+b*ln(c*x^n))/d^(5/3)/(d^(1/3)+e^(1/3)*x)-(-1)^(1/3)*x*(a+b*ln(c*x^n))/(1+(-1)^(1/3))^4/d^(5/3)/((-1)^(2/3)*d^(1/3)+e^(1/3)*x)+1/9*x*(a+b*ln(c*x^n))/d^(5/3)/(d^(1/3)+(-1)^(2/3)*e^(1/3)*x)+(-1)^(1/3)*b*n*ln(-(-1)^(2/3)*d^(1/3)-e^(1/3)*x)/(1+(-1)^(1/3))^4/d^(5/3)/e^(1/3)-1/9*b*n*ln(d^(1/3)+e^(1/3)*x)/d^(5/3)/e^(1/3)+1/9*(-1)^(1/3)*b*n*ln(d^(1/3)+(-1)^(2/3)*e^(1/3)*x)/d^(5/3)/e^(1/3)+2/9*(a+b*ln(c*x^n))*ln(1+e^(1/3)*x/d^(1/3))/d^(5/3)/e^(1/3)-2*I*sqrt(3)*(a+b*ln(c*x^n))*ln(1-(-1)^(1/3)*e^(1/3)*x/d^(1/3))/(1+(-1)^(1/3))^5/d^(5/3)/e^(1/3)+2*(a+b*ln(c*x^n))*ln(1+(-1)^(2/3)*e^(1/3)*x/d^(1/3))/(1+(-1)^(1/3))^4/d^(5/3)/e^(1/3)+2/9*b*n*polylog(2,-e^(1/3)*x/d^(1/3))/d^(5/3)/e^(1/3)-2*I*sqrt(3)*b*n*polylog(2,(-1)^(1/3)*e^(1/3)*x/d^(1/3))/(1+(-1)^(1/3))^5/d^(5/3)/e^(1/3)+2*b*n*polylog(2,-(-1)^(2/3)*e^(1/3)*x/d^(1/3))/(1+(-1)^(1/3))^4/d^(5/3)/e^(1/3),1],
[1/(e*x^3+d)^2/(a+b*ln(c*x^n)),x,0,Defer(Int)(1/(e*x^3+d)^2/(a+b*ln(c*x^n)),x),0],
[1/(e*x^3+d)^2/(a+b*ln(c*x^n))^2,x,0,Defer(Int)(1/(e*x^3+d)^2/(a+b*ln(c*x^n))^2,x),0],
[x^2*(a+b*ln(c*x^n))/(d+e/x),x,9,a*e^2*x/d^3-b*e^2*n*x/d^3+1/4*b*e*n*x^2/d^2-1/9*b*n*x^3/d+b*e^2*x*ln(c*x^n)/d^3-1/2*e*x^2*(a+b*ln(c*x^n))/d^2+1/3*x^3*(a+b*ln(c*x^n))/d-e^3*(a+b*ln(c*x^n))*ln(1+d*x/e)/d^4-b*e^3*n*polylog(2,-d*x/e)/d^4,1],
[x*(a+b*ln(c*x^n))/(d+e/x),x,8,-a*e*x/d^2+b*e*n*x/d^2-1/4*b*n*x^2/d-b*e*x*ln(c*x^n)/d^2+1/2*x^2*(a+b*ln(c*x^n))/d+e^2*(a+b*ln(c*x^n))*ln(1+d*x/e)/d^3+b*e^2*n*polylog(2,-d*x/e)/d^3,1],
[(a+b*ln(c*x^n))/(d+e/x),x,6,a*x/d-b*n*x/d+b*x*ln(c*x^n)/d-e*(a+b*ln(c*x^n))*ln(1+d*x/e)/d^2-b*e*n*polylog(2,-d*x/e)/d^2,1],
[(a+b*ln(c*x^n))/(d+e/x)/x,x,3,(a+b*ln(c*x^n))*ln(1+d*x/e)/d+b*n*polylog(2,-d*x/e)/d,1],
[(a+b*ln(c*x^n))/(d+e/x)/x^2,x,3,-ln(1+e/d/x)*(a+b*ln(c*x^n))/e+b*n*polylog(2,-e/d/x)/e,1],
[(a+b*ln(c*x^n))/(d+e/x)/x^3,x,5,-b*n/e/x-(a+b*ln(c*x^n))/e/x+d*ln(1+e/d/x)*(a+b*ln(c*x^n))/e^2-b*d*n*polylog(2,-e/d/x)/e^2,1],
[(a+b*ln(c*x^n))/(d+e/x)/x^4,x,7,-1/4*b*n/e/x^2+b*d*n/e^2/x-1/2*(a+b*ln(c*x^n))/e/x^2+d*(a+b*ln(c*x^n))/e^2/x-d^2*ln(1+e/d/x)*(a+b*ln(c*x^n))/e^3+b*d^2*n*polylog(2,-e/d/x)/e^3,1],
[x^2*(a+b*ln(c*x))/(d+e/x),x,9,a*e^2*x/d^3-b*e^2*x/d^3+1/4*b*e*x^2/d^2-1/9*b*x^3/d+b*e^2*x*ln(c*x)/d^3-1/2*e*x^2*(a+b*ln(c*x))/d^2+1/3*x^3*(a+b*ln(c*x))/d-e^3*(a+b*ln(c*x))*ln(1+d*x/e)/d^4-b*e^3*polylog(2,-d*x/e)/d^4,1],
[x*(a+b*ln(c*x))/(d+e/x),x,8,-a*e*x/d^2+b*e*x/d^2-1/4*b*x^2/d-b*e*x*ln(c*x)/d^2+1/2*x^2*(a+b*ln(c*x))/d+e^2*(a+b*ln(c*x))*ln(1+d*x/e)/d^3+b*e^2*polylog(2,-d*x/e)/d^3,1],
[(a+b*ln(c*x))/(d+e/x),x,6,a*x/d-b*x/d+b*x*ln(c*x)/d-e*(a+b*ln(c*x))*ln(1+d*x/e)/d^2-b*e*polylog(2,-d*x/e)/d^2,1],
[(a+b*ln(c*x))/(d+e/x)/x,x,3,(a+b*ln(c*x))*ln(1+d*x/e)/d+b*polylog(2,-d*x/e)/d,1],
[(a+b*ln(c*x))/(d+e/x)/x^2,x,3,-ln(1+e/d/x)*(a+b*ln(c*x))/e+b*polylog(2,-e/d/x)/e,1],
[(a+b*ln(c*x))/(d+e/x)/x^3,x,5,-b/e/x-(a+b*ln(c*x))/e/x+d*ln(1+e/d/x)*(a+b*ln(c*x))/e^2-b*d*polylog(2,-e/d/x)/e^2,1],
[(a+b*ln(c*x))/(d+e/x)/x^4,x,7,-1/4*b/e/x^2+b*d/e^2/x-1/2*(a+b*ln(c*x))/e/x^2+d*(a+b*ln(c*x))/e^2/x-d^2*ln(1+e/d/x)*(a+b*ln(c*x))/e^3+b*d^2*polylog(2,-e/d/x)/e^3,1],
[x^(-1+n)*ln(e*x^n)/(1-e*x^n),x,2,polylog(2,1-e*x^n)/e/n,1],
[x^(-1+n)*ln(x^n/d)/(d-x^n),x,2,polylog(2,1-x^n/d)/n,1],
[x^(-1+n)*ln(-e*x^n/d)/(d+e*x^n),x,2,-polylog(2,1+e*x^n/d)/e/n,1],
[ln(a/x)/(a*x-x^2),x,4,polylog(2,1-a/x)/a,1],
[ln(a/x^2)/(-x^3+a*x),x,4,1/2*polylog(2,1-a/x^2)/a,1],
[ln(a*x^(1-n))/(a*x-x^n),x,3,-polylog(2,1-a*x^(1-n))/a/(1-n),1],
[(f*x)^(-1+m)*(d+e*x^m)^3*(a+b*ln(c*x^n)),x,5,-b*d^3*n*x*(f*x)^(-1+m)/m^2-3/4*b*d^2*e*n*x^(1+m)*(f*x)^(-1+m)/m^2-1/3*b*d*e^2*n*x^(1+2*m)*(f*x)^(-1+m)/m^2-1/16*b*e^3*n*x^(1+3*m)*(f*x)^(-1+m)/m^2-1/4*b*d^4*n*x^(1-m)*(f*x)^(-1+m)*ln(x)/e/m+1/4*x^(1-m)*(f*x)^(-1+m)*(d+e*x^m)^4*(a+b*ln(c*x^n))/e/m,1],
[(f*x)^(-1+m)*(d+e*x^m)^2*(a+b*ln(c*x^n)),x,5,-b*d^2*n*x*(f*x)^(-1+m)/m^2-1/2*b*d*e*n*x^(1+m)*(f*x)^(-1+m)/m^2-1/9*b*e^2*n*x^(1+2*m)*(f*x)^(-1+m)/m^2-1/3*b*d^3*n*x^(1-m)*(f*x)^(-1+m)*ln(x)/e/m+1/3*x^(1-m)*(f*x)^(-1+m)*(d+e*x^m)^3*(a+b*ln(c*x^n))/e/m,1],
[(f*x)^(-1+m)*(d+e*x^m)*(a+b*ln(c*x^n)),x,5,-b*d*n*(f*x)^m/f/m^2-1/4*b*e*n*x^m*(f*x)^m/f/m^2+d*(f*x)^m*(a+b*ln(c*x^n))/f/m+1/2*e*x^m*(f*x)^m*(a+b*ln(c*x^n))/f/m,1],
[(f*x)^(-1+m)*(a+b*ln(c*x^n)),x,1,-b*n*(f*x)^m/f/m^2+(f*x)^m*(a+b*ln(c*x^n))/f/m,1],
[(f*x)^(-1+m)*(a+b*ln(c*x^n))/(d+e*x^m),x,3,x^(1-m)*(f*x)^(-1+m)*(a+b*ln(c*x^n))*ln(1+e*x^m/d)/e/m+b*n*x^(1-m)*(f*x)^(-1+m)*polylog(2,-e*x^m/d)/e/m^2,1],
[(f*x)^(-1+m)*(a+b*ln(c*x^n))/(d+e*x^m)^2,x,3,(f*x)^m*(a+b*ln(c*x^n))/d/f/m/(d+e*x^m)-b*n*(f*x)^m*ln(d+e*x^m)/d/e/f/m^2/(x^m),1],
[(f*x)^(-1+m)*(a+b*ln(c*x^n))/(d+e*x^m)^3,x,5,1/2*b*n*x^(1-m)*(f*x)^(-1+m)/d/e/m^2/(d+e*x^m)+1/2*b*n*x^(1-m)*(f*x)^(-1+m)*ln(x)/d^2/e/m-1/2*x^(1-m)*(f*x)^(-1+m)*(a+b*ln(c*x^n))/e/m/(d+e*x^m)^2-1/2*b*n*x^(1-m)*(f*x)^(-1+m)*ln(d+e*x^m)/d^2/e/m^2,1],
[(f*x)^(-1+m)*(a+b*ln(c*x^n))/(d+e*x^m)^4,x,5,1/6*b*n*x^(1-m)*(f*x)^(-1+m)/d/e/m^2/(d+e*x^m)^2+1/3*b*n*x^(1-m)*(f*x)^(-1+m)/d^2/e/m^2/(d+e*x^m)+1/3*b*n*x^(1-m)*(f*x)^(-1+m)*ln(x)/d^3/e/m-1/3*x^(1-m)*(f*x)^(-1+m)*(a+b*ln(c*x^n))/e/m/(d+e*x^m)^3-1/3*b*n*x^(1-m)*(f*x)^(-1+m)*ln(d+e*x^m)/d^3/e/m^2,1],
[(f*x)^(-1+m)*(d+e*x^m)^3*(a+b*ln(c*x^n))^2,x,7,2*b^2*d^3*n^2*x*(f*x)^(-1+m)/m^3+3/4*b^2*d^2*e*n^2*x^(1+m)*(f*x)^(-1+m)/m^3+2/9*b^2*d*e^2*n^2*x^(1+2*m)*(f*x)^(-1+m)/m^3+1/32*b^2*e^3*n^2*x^(1+3*m)*(f*x)^(-1+m)/m^3+1/4*b^2*d^4*n^2*x^(1-m)*(f*x)^(-1+m)*ln(x)^2/e/m-2*b*d^3*n*x*(f*x)^(-1+m)*(a+b*ln(c*x^n))/m^2-3/2*b*d^2*e*n*x^(1+m)*(f*x)^(-1+m)*(a+b*ln(c*x^n))/m^2-2/3*b*d*e^2*n*x^(1+2*m)*(f*x)^(-1+m)*(a+b*ln(c*x^n))/m^2-1/8*b*e^3*n*x^(1+3*m)*(f*x)^(-1+m)*(a+b*ln(c*x^n))/m^2-1/2*b*d^4*n*x^(1-m)*(f*x)^(-1+m)*ln(x)*(a+b*ln(c*x^n))/e/m+1/4*x^(1-m)*(f*x)^(-1+m)*(d+e*x^m)^4*(a+b*ln(c*x^n))^2/e/m,1],
[(f*x)^(-1+m)*(d+e*x^m)^2*(a+b*ln(c*x^n))^2,x,7,2*b^2*d^2*n^2*x*(f*x)^(-1+m)/m^3+1/2*b^2*d*e*n^2*x^(1+m)*(f*x)^(-1+m)/m^3+2/27*b^2*e^2*n^2*x^(1+2*m)*(f*x)^(-1+m)/m^3+1/3*b^2*d^3*n^2*x^(1-m)*(f*x)^(-1+m)*ln(x)^2/e/m-2*b*d^2*n*x*(f*x)^(-1+m)*(a+b*ln(c*x^n))/m^2-b*d*e*n*x^(1+m)*(f*x)^(-1+m)*(a+b*ln(c*x^n))/m^2-2/9*b*e^2*n*x^(1+2*m)*(f*x)^(-1+m)*(a+b*ln(c*x^n))/m^2-2/3*b*d^3*n*x^(1-m)*(f*x)^(-1+m)*ln(x)*(a+b*ln(c*x^n))/e/m+1/3*x^(1-m)*(f*x)^(-1+m)*(d+e*x^m)^3*(a+b*ln(c*x^n))^2/e/m,1],
[(f*x)^(-1+m)*(d+e*x^m)*(a+b*ln(c*x^n))^2,x,7,2*b^2*d*n^2*x*(f*x)^(-1+m)/m^3+1/4*b^2*e*n^2*x^(1+m)*(f*x)^(-1+m)/m^3+1/2*b^2*d^2*n^2*x^(1-m)*(f*x)^(-1+m)*ln(x)^2/e/m-2*b*d*n*x*(f*x)^(-1+m)*(a+b*ln(c*x^n))/m^2-1/2*b*e*n*x^(1+m)*(f*x)^(-1+m)*(a+b*ln(c*x^n))/m^2-b*d^2*n*x^(1-m)*(f*x)^(-1+m)*ln(x)*(a+b*ln(c*x^n))/e/m+1/2*x^(1-m)*(f*x)^(-1+m)*(d+e*x^m)^2*(a+b*ln(c*x^n))^2/e/m,1],
[(f*x)^(-1+m)*(a+b*ln(c*x^n))^2,x,2,2*b^2*n^2*(f*x)^m/f/m^3-2*b*n*(f*x)^m*(a+b*ln(c*x^n))/f/m^2+(f*x)^m*(a+b*ln(c*x^n))^2/f/m,1],
[(f*x)^(-1+m)*(a+b*ln(c*x^n))^2/(d+e*x^m),x,4,x^(1-m)*(f*x)^(-1+m)*(a+b*ln(c*x^n))^2*ln(1+e*x^m/d)/e/m+2*b*n*x^(1-m)*(f*x)^(-1+m)*(a+b*ln(c*x^n))*polylog(2,-e*x^m/d)/e/m^2-2*b^2*n^2*x^(1-m)*(f*x)^(-1+m)*polylog(3,-e*x^m/d)/e/m^3,1],
[(f*x)^(-1+m)*(a+b*ln(c*x^n))^2/(d+e*x^m)^2,x,4,-x^(1-m)*(f*x)^(-1+m)*(a+b*ln(c*x^n))^2/e/m/(d+e*x^m)-2*b*n*x^(1-m)*(f*x)^(-1+m)*(a+b*ln(c*x^n))*ln(1+d/e/(x^m))/d/e/m^2+2*b^2*n^2*x^(1-m)*(f*x)^(-1+m)*polylog(2,-d/e/(x^m))/d/e/m^3,1],
[(f*x)^(-1+m)*(a+b*ln(c*x^n))^2/(d+e*x^m)^3,x,7,-b*n*x*(f*x)^(-1+m)*(a+b*ln(c*x^n))/d^2/m^2/(d+e*x^m)-1/2*x^(1-m)*(f*x)^(-1+m)*(a+b*ln(c*x^n))^2/e/m/(d+e*x^m)^2-b*n*x^(1-m)*(f*x)^(-1+m)*(a+b*ln(c*x^n))*ln(1+d/e/(x^m))/d^2/e/m^2+b^2*n^2*x^(1-m)*(f*x)^(-1+m)*ln(d+e*x^m)/d^2/e/m^3+b^2*n^2*x^(1-m)*(f*x)^(-1+m)*polylog(2,-d/e/(x^m))/d^2/e/m^3,1],
[(f*x)^(-1+m)*(a+b*ln(c*x^n))^2/(d+e*x^m)^4,x,12,-1/3*b^2*n^2*x^(1-m)*(f*x)^(-1+m)/d^2/e/m^3/(d+e*x^m)-1/3*b^2*n^2*x^(1-m)*(f*x)^(-1+m)*ln(x)/d^3/e/m^2+1/3*b*n*x^(1-m)*(f*x)^(-1+m)*(a+b*ln(c*x^n))/d/e/m^2/(d+e*x^m)^2-2/3*b*n*x*(f*x)^(-1+m)*(a+b*ln(c*x^n))/d^3/m^2/(d+e*x^m)-1/3*x^(1-m)*(f*x)^(-1+m)*(a+b*ln(c*x^n))^2/e/m/(d+e*x^m)^3-2/3*b*n*x^(1-m)*(f*x)^(-1+m)*(a+b*ln(c*x^n))*ln(1+d/e/(x^m))/d^3/e/m^2+b^2*n^2*x^(1-m)*(f*x)^(-1+m)*ln(d+e*x^m)/d^3/e/m^3+2/3*b^2*n^2*x^(1-m)*(f*x)^(-1+m)*polylog(2,-d/e/(x^m))/d^3/e/m^3,1],
[x^5*(d+e*x^r)*(a+b*ln(c*x^n)),x,4,-1/36*b*d*n*x^6-b*e*n*x^(6+r)/(6+r)^2+1/6*(d*x^6+6*e*x^(6+r)/(6+r))*(a+b*ln(c*x^n)),1],
[x^3*(d+e*x^r)*(a+b*ln(c*x^n)),x,4,-1/16*b*d*n*x^4-b*e*n*x^(4+r)/(4+r)^2+1/4*(d*x^4+4*e*x^(4+r)/(4+r))*(a+b*ln(c*x^n)),1],
[x*(d+e*x^r)*(a+b*ln(c*x^n)),x,4,-1/4*b*d*n*x^2-b*e*n*x^(2+r)/(2+r)^2+1/2*(d*x^2+2*e*x^(2+r)/(2+r))*(a+b*ln(c*x^n)),1],
[(d+e*x^r)*(a+b*ln(c*x^n))/x,x,4,-b*e*n*x^r/r^2+e*x^r*(a+b*ln(c*x^n))/r+1/2*d*(a+b*ln(c*x^n))^2/b/n,1],
[(d+e*x^r)*(a+b*ln(c*x^n))/x^3,x,2,-1/4*b*d*n/x^2-b*e*n*x^(-2+r)/(2-r)^2-1/2*d*(a+b*ln(c*x^n))/x^2-e*x^(-2+r)*(a+b*ln(c*x^n))/(2-r),1],
[(d+e*x^r)*(a+b*ln(c*x^n))/x^5,x,2,-1/16*b*d*n/x^4-b*e*n*x^(-4+r)/(4-r)^2-1/4*d*(a+b*ln(c*x^n))/x^4-e*x^(-4+r)*(a+b*ln(c*x^n))/(4-r),1],
[x^4*(d+e*x^r)*(a+b*ln(c*x^n)),x,4,-1/25*b*d*n*x^5-b*e*n*x^(5+r)/(5+r)^2+1/5*(d*x^5+5*e*x^(5+r)/(5+r))*(a+b*ln(c*x^n)),1],
[x^2*(d+e*x^r)*(a+b*ln(c*x^n)),x,4,-1/9*b*d*n*x^3-b*e*n*x^(3+r)/(3+r)^2+1/3*(d*x^3+3*e*x^(3+r)/(3+r))*(a+b*ln(c*x^n)),1],
[(d+e*x^r)*(a+b*ln(c*x^n)),x,3,-b*d*n*x-b*e*n*x^(1+r)/(1+r)^2+d*x*(a+b*ln(c*x^n))+e*x^(1+r)*(a+b*ln(c*x^n))/(1+r),1],
[(d+e*x^r)*(a+b*ln(c*x^n))/x^2,x,4,-b*d*n/x-b*e*n*x^(-1+r)/(1-r)^2-d*(a+b*ln(c*x^n))/x-e*x^(-1+r)*(a+b*ln(c*x^n))/(1-r),1],
[(d+e*x^r)*(a+b*ln(c*x^n))/x^4,x,2,-1/9*b*d*n/x^3-b*e*n*x^(-3+r)/(3-r)^2-1/3*d*(a+b*ln(c*x^n))/x^3-e*x^(-3+r)*(a+b*ln(c*x^n))/(3-r),1],
[(d+e*x^r)*(a+b*ln(c*x^n))/x^6,x,2,-1/25*b*d*n/x^5-b*e*n*x^(-5+r)/(5-r)^2-1/5*d*(a+b*ln(c*x^n))/x^5-e*x^(-5+r)*(a+b*ln(c*x^n))/(5-r),1],
[x^5*(d+e*x^r)^2*(a+b*ln(c*x^n)),x,4,-1/36*b*d^2*n*x^6-1/4*b*e^2*n*x^(6+2*r)/(3+r)^2-2*b*d*e*n*x^(6+r)/(6+r)^2+1/6*(d^2*x^6+3*e^2*x^(6+2*r)/(3+r)+12*d*e*x^(6+r)/(6+r))*(a+b*ln(c*x^n)),1],
[x^3*(d+e*x^r)^2*(a+b*ln(c*x^n)),x,4,-1/16*b*d^2*n*x^4-1/4*b*e^2*n*x^(4+2*r)/(2+r)^2-2*b*d*e*n*x^(4+r)/(4+r)^2+1/4*(d^2*x^4+2*e^2*x^(4+2*r)/(2+r)+8*d*e*x^(4+r)/(4+r))*(a+b*ln(c*x^n)),1],
[x*(d+e*x^r)^2*(a+b*ln(c*x^n)),x,4,-1/4*b*d^2*n*x^2-1/4*b*e^2*n*x^(2+2*r)/(1+r)^2-2*b*d*e*n*x^(2+r)/(2+r)^2+1/2*(d^2*x^2+e^2*x^(2+2*r)/(1+r)+4*d*e*x^(2+r)/(2+r))*(a+b*ln(c*x^n)),1],
[(d+e*x^r)^2*(a+b*ln(c*x^n))/x,x,5,-2*b*d*e*n*x^r/r^2-1/4*b*e^2*n*x^(2*r)/r^2-1/2*b*d^2*n*ln(x)^2+2*d*e*x^r*(a+b*ln(c*x^n))/r+1/2*e^2*x^(2*r)*(a+b*ln(c*x^n))/r+d^2*ln(x)*(a+b*ln(c*x^n)),1],
[(d+e*x^r)^2*(a+b*ln(c*x^n))/x^3,x,4,-1/4*b*d^2*n/x^2-1/4*b*e^2*n/(1-r)^2/(x^(2-2*r))-2*b*d*e*n*x^(-2+r)/(2-r)^2-1/2*d^2*(a+b*ln(c*x^n))/x^2-1/2*e^2*(a+b*ln(c*x^n))/(1-r)/(x^(2-2*r))-2*d*e*x^(-2+r)*(a+b*ln(c*x^n))/(2-r),1],
[(d+e*x^r)^2*(a+b*ln(c*x^n))/x^5,x,4,-1/16*b*d^2*n/x^4-1/4*b*e^2*n/(2-r)^2/(x^(4-2*r))-2*b*d*e*n*x^(-4+r)/(4-r)^2-1/4*d^2*(a+b*ln(c*x^n))/x^4-1/2*e^2*(a+b*ln(c*x^n))/(2-r)/(x^(4-2*r))-2*d*e*x^(-4+r)*(a+b*ln(c*x^n))/(4-r),1],
[x^4*(d+e*x^r)^2*(a+b*ln(c*x^n)),x,4,-1/25*b*d^2*n*x^5-2*b*d*e*n*x^(5+r)/(5+r)^2-b*e^2*n*x^(5+2*r)/(5+2*r)^2+1/5*(d^2*x^5+10*d*e*x^(5+r)/(5+r)+5*e^2*x^(5+2*r)/(5+2*r))*(a+b*ln(c*x^n)),1],
[x^2*(d+e*x^r)^2*(a+b*ln(c*x^n)),x,4,-1/9*b*d^2*n*x^3-2*b*d*e*n*x^(3+r)/(3+r)^2-b*e^2*n*x^(3+2*r)/(3+2*r)^2+1/3*(d^2*x^3+6*d*e*x^(3+r)/(3+r)+3*e^2*x^(3+2*r)/(3+2*r))*(a+b*ln(c*x^n)),1],
[(d+e*x^r)^2*(a+b*ln(c*x^n)),x,2,-b*d^2*n*x-2*b*d*e*n*x^(1+r)/(1+r)^2-b*e^2*n*x^(1+2*r)/(1+2*r)^2+d^2*x*(a+b*ln(c*x^n))+2*d*e*x^(1+r)*(a+b*ln(c*x^n))/(1+r)+e^2*x^(1+2*r)*(a+b*ln(c*x^n))/(1+2*r),1],
[(d+e*x^r)^2*(a+b*ln(c*x^n))/x^2,x,3,-b*d^2*n/x-2*b*d*e*n*x^(-1+r)/(1-r)^2-b*e^2*n*x^(-1+2*r)/(1-2*r)^2-d^2*(a+b*ln(c*x^n))/x-2*d*e*x^(-1+r)*(a+b*ln(c*x^n))/(1-r)-e^2*x^(-1+2*r)*(a+b*ln(c*x^n))/(1-2*r),1],
[(d+e*x^r)^2*(a+b*ln(c*x^n))/x^4,x,4,-1/9*b*d^2*n/x^3-2*b*d*e*n*x^(-3+r)/(3-r)^2-b*e^2*n*x^(-3+2*r)/(3-2*r)^2-1/3*d^2*(a+b*ln(c*x^n))/x^3-2*d*e*x^(-3+r)*(a+b*ln(c*x^n))/(3-r)-e^2*x^(-3+2*r)*(a+b*ln(c*x^n))/(3-2*r),1],
[(d+e*x^r)^2*(a+b*ln(c*x^n))/x^6,x,4,-1/25*b*d^2*n/x^5-2*b*d*e*n*x^(-5+r)/(5-r)^2-b*e^2*n*x^(-5+2*r)/(5-2*r)^2-1/5*d^2*(a+b*ln(c*x^n))/x^5-2*d*e*x^(-5+r)*(a+b*ln(c*x^n))/(5-r)-e^2*x^(-5+2*r)*(a+b*ln(c*x^n))/(5-2*r),1],
[(d+e*x^r)^2*(a+b*ln(c*x^n))/x^8,x,4,-1/49*b*d^2*n/x^7-2*b*d*e*n*x^(-7+r)/(7-r)^2-b*e^2*n*x^(-7+2*r)/(7-2*r)^2-1/7*d^2*(a+b*ln(c*x^n))/x^7-2*d*e*x^(-7+r)*(a+b*ln(c*x^n))/(7-r)-e^2*x^(-7+2*r)*(a+b*ln(c*x^n))/(7-2*r),1],
[x^5*(d+e*x^r)^3*(a+b*ln(c*x^n)),x,4,-1/36*b*d^3*n*x^6-1/9*b*e^3*n*x^(6+3*r)/(2+r)^2-3/4*b*d*e^2*n*x^(6+2*r)/(3+r)^2-3*b*d^2*e*n*x^(6+r)/(6+r)^2+1/6*(d^3*x^6+2*e^3*x^(6+3*r)/(2+r)+9*d*e^2*x^(6+2*r)/(3+r)+18*d^2*e*x^(6+r)/(6+r))*(a+b*ln(c*x^n)),1],
[x^3*(d+e*x^r)^3*(a+b*ln(c*x^n)),x,4,-1/16*b*d^3*n*x^4-3/4*b*d*e^2*n*x^(4+2*r)/(2+r)^2-3*b*d^2*e*n*x^(4+r)/(4+r)^2-b*e^3*n*x^(4+3*r)/(4+3*r)^2+1/4*(d^3*x^4+6*d*e^2*x^(4+2*r)/(2+r)+12*d^2*e*x^(4+r)/(4+r)+4*e^3*x^(4+3*r)/(4+3*r))*(a+b*ln(c*x^n)),1],
[x*(d+e*x^r)^3*(a+b*ln(c*x^n)),x,4,-1/4*b*d^3*n*x^2-3/4*b*d*e^2*n*x^(2+2*r)/(1+r)^2-3*b*d^2*e*n*x^(2+r)/(2+r)^2-b*e^3*n*x^(2+3*r)/(2+3*r)^2+1/2*(d^3*x^2+3*d*e^2*x^(2+2*r)/(1+r)+6*d^2*e*x^(2+r)/(2+r)+2*e^3*x^(2+3*r)/(2+3*r))*(a+b*ln(c*x^n)),1],
[(d+e*x^r)^3*(a+b*ln(c*x^n))/x,x,5,-3*b*d^2*e*n*x^r/r^2-3/4*b*d*e^2*n*x^(2*r)/r^2-1/9*b*e^3*n*x^(3*r)/r^2-1/2*b*d^3*n*ln(x)^2+3*d^2*e*x^r*(a+b*ln(c*x^n))/r+3/2*d*e^2*x^(2*r)*(a+b*ln(c*x^n))/r+1/3*e^3*x^(3*r)*(a+b*ln(c*x^n))/r+d^3*ln(x)*(a+b*ln(c*x^n)),1],
[(d+e*x^r)^3*(a+b*ln(c*x^n))/x^3,x,4,-1/4*b*d^3*n/x^2-3/4*b*d*e^2*n/(1-r)^2/(x^(2-2*r))-3*b*d^2*e*n*x^(-2+r)/(2-r)^2-b*e^3*n*x^(-2+3*r)/(2-3*r)^2-1/2*d^3*(a+b*ln(c*x^n))/x^2-3/2*d*e^2*(a+b*ln(c*x^n))/(1-r)/(x^(2-2*r))-3*d^2*e*x^(-2+r)*(a+b*ln(c*x^n))/(2-r)-e^3*x^(-2+3*r)*(a+b*ln(c*x^n))/(2-3*r),1],
[(d+e*x^r)^3*(a+b*ln(c*x^n))/x^5,x,4,-1/16*b*d^3*n/x^4-3/4*b*d*e^2*n/(2-r)^2/(x^(4-2*r))-3*b*d^2*e*n*x^(-4+r)/(4-r)^2-b*e^3*n*x^(-4+3*r)/(4-3*r)^2-1/4*d^3*(a+b*ln(c*x^n))/x^4-3/2*d*e^2*(a+b*ln(c*x^n))/(2-r)/(x^(4-2*r))-3*d^2*e*x^(-4+r)*(a+b*ln(c*x^n))/(4-r)-e^3*x^(-4+3*r)*(a+b*ln(c*x^n))/(4-3*r),1],
[x^4*(d+e*x^r)^3*(a+b*ln(c*x^n)),x,4,-1/25*b*d^3*n*x^5-3*b*d^2*e*n*x^(5+r)/(5+r)^2-3*b*d*e^2*n*x^(5+2*r)/(5+2*r)^2-b*e^3*n*x^(5+3*r)/(5+3*r)^2+1/5*(d^3*x^5+15*d^2*e*x^(5+r)/(5+r)+15*d*e^2*x^(5+2*r)/(5+2*r)+5*e^3*x^(5+3*r)/(5+3*r))*(a+b*ln(c*x^n)),1],
[x^2*(d+e*x^r)^3*(a+b*ln(c*x^n)),x,4,-1/9*b*d^3*n*x^3-1/9*b*e^3*n*x^(3+3*r)/(1+r)^2-3*b*d^2*e*n*x^(3+r)/(3+r)^2-3*b*d*e^2*n*x^(3+2*r)/(3+2*r)^2+1/3*(d^3*x^3+e^3*x^(3+3*r)/(1+r)+9*d^2*e*x^(3+r)/(3+r)+9*d*e^2*x^(3+2*r)/(3+2*r))*(a+b*ln(c*x^n)),1],
[(d+e*x^r)^3*(a+b*ln(c*x^n)),x,2,-b*d^3*n*x-3*b*d^2*e*n*x^(1+r)/(1+r)^2-3*b*d*e^2*n*x^(1+2*r)/(1+2*r)^2-b*e^3*n*x^(1+3*r)/(1+3*r)^2+d^3*x*(a+b*ln(c*x^n))+3*d^2*e*x^(1+r)*(a+b*ln(c*x^n))/(1+r)+3*d*e^2*x^(1+2*r)*(a+b*ln(c*x^n))/(1+2*r)+e^3*x^(1+3*r)*(a+b*ln(c*x^n))/(1+3*r),1],
[(d+e*x^r)^3*(a+b*ln(c*x^n))/x^2,x,3,-b*d^3*n/x-3*b*d^2*e*n*x^(-1+r)/(1-r)^2-3*b*d*e^2*n*x^(-1+2*r)/(1-2*r)^2-b*e^3*n*x^(-1+3*r)/(1-3*r)^2-d^3*(a+b*ln(c*x^n))/x-3*d^2*e*x^(-1+r)*(a+b*ln(c*x^n))/(1-r)-3*d*e^2*x^(-1+2*r)*(a+b*ln(c*x^n))/(1-2*r)-e^3*x^(-1+3*r)*(a+b*ln(c*x^n))/(1-3*r),1],
[(d+e*x^r)^3*(a+b*ln(c*x^n))/x^4,x,4,-1/9*b*d^3*n/x^3-1/9*b*e^3*n/(1-r)^2/(x^(3-3*r))-3*b*d^2*e*n*x^(-3+r)/(3-r)^2-3*b*d*e^2*n*x^(-3+2*r)/(3-2*r)^2-1/3*d^3*(a+b*ln(c*x^n))/x^3-1/3*e^3*(a+b*ln(c*x^n))/(1-r)/(x^(3-3*r))-3*d^2*e*x^(-3+r)*(a+b*ln(c*x^n))/(3-r)-3*d*e^2*x^(-3+2*r)*(a+b*ln(c*x^n))/(3-2*r),1],
[(d+e*x^r)^3*(a+b*ln(c*x^n))/x^6,x,4,-1/25*b*d^3*n/x^5-3*b*d^2*e*n*x^(-5+r)/(5-r)^2-3*b*d*e^2*n*x^(-5+2*r)/(5-2*r)^2-b*e^3*n*x^(-5+3*r)/(5-3*r)^2-1/5*d^3*(a+b*ln(c*x^n))/x^5-3*d^2*e*x^(-5+r)*(a+b*ln(c*x^n))/(5-r)-3*d*e^2*x^(-5+2*r)*(a+b*ln(c*x^n))/(5-2*r)-e^3*x^(-5+3*r)*(a+b*ln(c*x^n))/(5-3*r),1],
[(d+e*x^r)^3*(a+b*ln(c*x^n))/x^8,x,4,-1/49*b*d^3*n/x^7-3*b*d^2*e*n*x^(-7+r)/(7-r)^2-3*b*d*e^2*n*x^(-7+2*r)/(7-2*r)^2-b*e^3*n*x^(-7+3*r)/(7-3*r)^2-1/7*d^3*(a+b*ln(c*x^n))/x^7-3*d^2*e*x^(-7+r)*(a+b*ln(c*x^n))/(7-r)-3*d*e^2*x^(-7+2*r)*(a+b*ln(c*x^n))/(7-2*r)-e^3*x^(-7+3*r)*(a+b*ln(c*x^n))/(7-3*r),1],
[(d+e*x^r)^3*(a+b*ln(c*x^n))/x^10,x,4,-1/81*b*d^3*n/x^9-1/9*b*e^3*n/(3-r)^2/(x^(9-3*r))-3*b*d^2*e*n*x^(-9+r)/(9-r)^2-3*b*d*e^2*n*x^(-9+2*r)/(9-2*r)^2-1/9*d^3*(a+b*ln(c*x^n))/x^9-1/3*e^3*(a+b*ln(c*x^n))/(3-r)/(x^(9-3*r))-3*d^2*e*x^(-9+r)*(a+b*ln(c*x^n))/(9-r)-3*d*e^2*x^(-9+2*r)*(a+b*ln(c*x^n))/(9-2*r),1],
[x^3*(a+b*ln(c*x^n))/(d+e*x^r),x,0,Defer(Int)(x^3*(a+b*ln(c*x^n))/(d+e*x^r),x),0],
[x*(a+b*ln(c*x^n))/(d+e*x^r),x,0,Defer(Int)(x*(a+b*ln(c*x^n))/(d+e*x^r),x),0],
[(a+b*ln(c*x^n))/x/(d+e*x^r),x,2,-(a+b*ln(c*x^n))*ln(1+d/e/(x^r))/d/r+b*n*polylog(2,-d/e/(x^r))/d/r^2,1],
[(a+b*ln(c*x^n))/x^3/(d+e*x^r),x,0,Defer(Int)((a+b*ln(c*x^n))/x^3/(d+e*x^r),x),0],
[x^2*(a+b*ln(c*x^n))/(d+e*x^r),x,0,Defer(Int)(x^2*(a+b*ln(c*x^n))/(d+e*x^r),x),0],
[(a+b*ln(c*x^n))/(d+e*x^r),x,0,Defer(Int)((a+b*ln(c*x^n))/(d+e*x^r),x),0],
[(a+b*ln(c*x^n))/x^2/(d+e*x^r),x,0,Defer(Int)((a+b*ln(c*x^n))/x^2/(d+e*x^r),x),0],
[x^3*(a+b*ln(c*x^n))/(d+e*x^r)^2,x,0,Defer(Int)(x^3*(a+b*ln(c*x^n))/(d+e*x^r)^2,x),0],
[x*(a+b*ln(c*x^n))/(d+e*x^r)^2,x,0,Defer(Int)(x*(a+b*ln(c*x^n))/(d+e*x^r)^2,x),0],
[(a+b*ln(c*x^n))/x/(d+e*x^r)^2,x,5,-e*x^r*(a+b*ln(c*x^n))/d^2/r/(d+e*x^r)-(a+b*ln(c*x^n))*ln(1+d/e/(x^r))/d^2/r+b*n*ln(d+e*x^r)/d^2/r^2+b*n*polylog(2,-d/e/(x^r))/d^2/r^2,1],
[(a+b*ln(c*x^n))/x^3/(d+e*x^r)^2,x,0,Defer(Int)((a+b*ln(c*x^n))/x^3/(d+e*x^r)^2,x),0],
[x^2*(a+b*ln(c*x^n))/(d+e*x^r)^2,x,0,Defer(Int)(x^2*(a+b*ln(c*x^n))/(d+e*x^r)^2,x),0],
[(a+b*ln(c*x^n))/(d+e*x^r)^2,x,0,Defer(Int)((a+b*ln(c*x^n))/(d+e*x^r)^2,x),0],
[(a+b*ln(c*x^n))/x^2/(d+e*x^r)^2,x,0,Defer(Int)((a+b*ln(c*x^n))/x^2/(d+e*x^r)^2,x),0],
[(a+b*ln(c*x^n))/x/(c-x^(-n)),x,4,a*ln(1-c*x^n)/c/n-b*polylog(2,1-c*x^n)/c/n,1],
[(d+e*x^r)^3*(a+b*ln(c*x^n))/x,x,5,-3*b*d^2*e*n*x^r/r^2-3/4*b*d*e^2*n*x^(2*r)/r^2-1/9*b*e^3*n*x^(3*r)/r^2-1/2*b*d^3*n*ln(x)^2+3*d^2*e*x^r*(a+b*ln(c*x^n))/r+3/2*d*e^2*x^(2*r)*(a+b*ln(c*x^n))/r+1/3*e^3*x^(3*r)*(a+b*ln(c*x^n))/r+d^3*ln(x)*(a+b*ln(c*x^n)),1],
[(d+e*x^r)^2*(a+b*ln(c*x^n))/x,x,5,-2*b*d*e*n*x^r/r^2-1/4*b*e^2*n*x^(2*r)/r^2-1/2*b*d^2*n*ln(x)^2+2*d*e*x^r*(a+b*ln(c*x^n))/r+1/2*e^2*x^(2*r)*(a+b*ln(c*x^n))/r+d^2*ln(x)*(a+b*ln(c*x^n)),1],
[(d+e*x^r)*(a+b*ln(c*x^n))/x,x,4,-b*e*n*x^r/r^2+e*x^r*(a+b*ln(c*x^n))/r+1/2*d*(a+b*ln(c*x^n))^2/b/n,1],
[(a+b*ln(c*x^n))/x/(d+e*x^r),x,2,-(a+b*ln(c*x^n))*ln(1+d/e/(x^r))/d/r+b*n*polylog(2,-d/e/(x^r))/d/r^2,1],
[(a+b*ln(c*x^n))/x/(d+e*x^r)^2,x,5,-e*x^r*(a+b*ln(c*x^n))/d^2/r/(d+e*x^r)-(a+b*ln(c*x^n))*ln(1+d/e/(x^r))/d^2/r+b*n*ln(d+e*x^r)/d^2/r^2+b*n*polylog(2,-d/e/(x^r))/d^2/r^2,1],
[(a+b*ln(c*x^n))/x/(d+e*x^r)^3,x,10,-1/2*b*n/d^2/r^2/(d+e*x^r)-1/2*b*n*ln(x)/d^3/r+1/2*(a+b*ln(c*x^n))/d/r/(d+e*x^r)^2-e*x^r*(a+b*ln(c*x^n))/d^3/r/(d+e*x^r)-(a+b*ln(c*x^n))*ln(1+d/e/(x^r))/d^3/r+3/2*b*n*ln(d+e*x^r)/d^3/r^2+b*n*polylog(2,-d/e/(x^r))/d^3/r^2,1],
[(d+e*x^r)^3*(a+b*ln(c*x^n))^2/x,x,10,6*b^2*d^2*e*n^2*x^r/r^3+3/4*b^2*d*e^2*n^2*x^(2*r)/r^3+2/27*b^2*e^3*n^2*x^(3*r)/r^3-6*b*d^2*e*n*x^r*(a+b*ln(c*x^n))/r^2-3/2*b*d*e^2*n*x^(2*r)*(a+b*ln(c*x^n))/r^2-2/9*b*e^3*n*x^(3*r)*(a+b*ln(c*x^n))/r^2+3*d^2*e*x^r*(a+b*ln(c*x^n))^2/r+3/2*d*e^2*x^(2*r)*(a+b*ln(c*x^n))^2/r+1/3*e^3*x^(3*r)*(a+b*ln(c*x^n))^2/r+1/3*d^3*(a+b*ln(c*x^n))^3/b/n,1],
[(d+e*x^r)^2*(a+b*ln(c*x^n))^2/x,x,8,4*b^2*d*e*n^2*x^r/r^3+1/4*b^2*e^2*n^2*x^(2*r)/r^3-4*b*d*e*n*x^r*(a+b*ln(c*x^n))/r^2-1/2*b*e^2*n*x^(2*r)*(a+b*ln(c*x^n))/r^2+2*d*e*x^r*(a+b*ln(c*x^n))^2/r+1/2*e^2*x^(2*r)*(a+b*ln(c*x^n))^2/r+1/3*d^2*(a+b*ln(c*x^n))^3/b/n,1],
[(d+e*x^r)*(a+b*ln(c*x^n))^2/x,x,6,2*b^2*e*n^2*x^r/r^3-2*b*e*n*x^r*(a+b*ln(c*x^n))/r^2+e*x^r*(a+b*ln(c*x^n))^2/r+1/3*d*(a+b*ln(c*x^n))^3/b/n,1],
[(a+b*ln(c*x^n))^2/x/(d+e*x^r),x,3,-(a+b*ln(c*x^n))^2*ln(1+d/e/(x^r))/d/r+2*b*n*(a+b*ln(c*x^n))*polylog(2,-d/e/(x^r))/d/r^2+2*b^2*n^2*polylog(3,-d/e/(x^r))/d/r^3,1],
[(a+b*ln(c*x^n))^2/x/(d+e*x^r)^2,x,7,(a+b*ln(c*x^n))^2/d/r/(d+e*x^r)+2*b*n*(a+b*ln(c*x^n))*ln(1+d/e/(x^r))/d^2/r^2-(a+b*ln(c*x^n))^2*ln(1+d/e/(x^r))/d^2/r-2*b^2*n^2*polylog(2,-d/e/(x^r))/d^2/r^3+2*b*n*(a+b*ln(c*x^n))*polylog(2,-d/e/(x^r))/d^2/r^2+2*b^2*n^2*polylog(3,-d/e/(x^r))/d^2/r^3,1],
[(a+b*ln(c*x^n))^2/x/(d+e*x^r)^3,x,14,b*e*n*x^r*(a+b*ln(c*x^n))/d^3/r^2/(d+e*x^r)+1/2*(a+b*ln(c*x^n))^2/d/r/(d+e*x^r)^2+(a+b*ln(c*x^n))^2/d^2/r/(d+e*x^r)+3*b*n*(a+b*ln(c*x^n))*ln(1+d/e/(x^r))/d^3/r^2-(a+b*ln(c*x^n))^2*ln(1+d/e/(x^r))/d^3/r-b^2*n^2*ln(d+e*x^r)/d^3/r^3-3*b^2*n^2*polylog(2,-d/e/(x^r))/d^3/r^3+2*b*n*(a+b*ln(c*x^n))*polylog(2,-d/e/(x^r))/d^3/r^2+2*b^2*n^2*polylog(3,-d/e/(x^r))/d^3/r^3,1],
[(d+e*x^r)^(5/2)*(a+b*ln(c*x^n))/x,x,23,-92/15*b*d^2*n*sqrt(d+e*x^r)/r^2-32/45*b*d*n*(d+e*x^r)^(3/2)/r^2-4/25*b*n*(d+e*x^r)^(5/2)/r^2+92/15*b*d^(5/2)*n*arctanh(sqrt(d+e*x^r)/sqrt(d))/r^2+2*b*d^(5/2)*n*arctanh(sqrt(d+e*x^r)/sqrt(d))^2/r^2+2/15*(15*d^2*sqrt(d+e*x^r)/r+5*d*(d+e*x^r)^(3/2)/r+3*(d+e*x^r)^(5/2)/r-15*d^(5/2)*arctanh(sqrt(d+e*x^r)/sqrt(d))/r)*(a+b*ln(c*x^n))-4*b*d^(5/2)*n*arctanh(sqrt(d+e*x^r)/sqrt(d))*ln(2*sqrt(d)/(sqrt(d)-sqrt(d+e*x^r)))/r^2-2*b*d^(5/2)*n*polylog(2,1-2*sqrt(d)/(sqrt(d)-sqrt(d+e*x^r)))/r^2,1],
[(d+e*x^r)^(3/2)*(a+b*ln(c*x^n))/x,x,17,-16/3*b*d*n*sqrt(d+e*x^r)/r^2-4/9*b*n*(d+e*x^r)^(3/2)/r^2+16/3*b*d^(3/2)*n*arctanh(sqrt(d+e*x^r)/sqrt(d))/r^2+2*b*d^(3/2)*n*arctanh(sqrt(d+e*x^r)/sqrt(d))^2/r^2+2/3*(3*d*sqrt(d+e*x^r)/r+(d+e*x^r)^(3/2)/r-3*d^(3/2)*arctanh(sqrt(d+e*x^r)/sqrt(d))/r)*(a+b*ln(c*x^n))-4*b*d^(3/2)*n*arctanh(sqrt(d+e*x^r)/sqrt(d))*ln(2*sqrt(d)/(sqrt(d)-sqrt(d+e*x^r)))/r^2-2*b*d^(3/2)*n*polylog(2,1-2*sqrt(d)/(sqrt(d)-sqrt(d+e*x^r)))/r^2,1],
[sqrt(d+e*x^r)*(a+b*ln(c*x^n))/x,x,12,-4*b*n*sqrt(d+e*x^r)/r^2+4*b*sqrt(d)*n*arctanh(sqrt(d+e*x^r)/sqrt(d))/r^2+2*b*sqrt(d)*n*arctanh(sqrt(d+e*x^r)/sqrt(d))^2/r^2+2*(sqrt(d+e*x^r)/r-sqrt(d)*arctanh(sqrt(d+e*x^r)/sqrt(d))/r)*(a+b*ln(c*x^n))-4*b*sqrt(d)*n*arctanh(sqrt(d+e*x^r)/sqrt(d))*ln(2*sqrt(d)/(sqrt(d)-sqrt(d+e*x^r)))/r^2-2*b*sqrt(d)*n*polylog(2,1-2*sqrt(d)/(sqrt(d)-sqrt(d+e*x^r)))/r^2,1],
[(a+b*ln(c*x^n))/x/sqrt(d+e*x^r),x,8,2*b*n*arctanh(sqrt(d+e*x^r)/sqrt(d))^2/sqrt(d)/r^2-2*arctanh(sqrt(d+e*x^r)/sqrt(d))*(a+b*ln(c*x^n))/sqrt(d)/r-4*b*n*arctanh(sqrt(d+e*x^r)/sqrt(d))*ln(2*sqrt(d)/(sqrt(d)-sqrt(d+e*x^r)))/sqrt(d)/r^2-2*b*n*polylog(2,1-2*sqrt(d)/(sqrt(d)-sqrt(d+e*x^r)))/sqrt(d)/r^2,1],
[(a+b*ln(c*x^n))/x/(d+e*x^r)^(3/2),x,11,4*b*n*arctanh(sqrt(d+e*x^r)/sqrt(d))/d^(3/2)/r^2+2*b*n*arctanh(sqrt(d+e*x^r)/sqrt(d))^2/d^(3/2)/r^2+2*(1/d/r/sqrt(d+e*x^r)-arctanh(sqrt(d+e*x^r)/sqrt(d))/d^(3/2)/r)*(a+b*ln(c*x^n))-4*b*n*arctanh(sqrt(d+e*x^r)/sqrt(d))*ln(2*sqrt(d)/(sqrt(d)-sqrt(d+e*x^r)))/d^(3/2)/r^2-2*b*n*polylog(2,1-2*sqrt(d)/(sqrt(d)-sqrt(d+e*x^r)))/d^(3/2)/r^2,1],
[(a+b*ln(c*x^n))/x/(d+e*x^r)^(5/2),x,15,-4/3*b*n/d^2/r^2/sqrt(d+e*x^r)+16/3*b*n*arctanh(sqrt(d+e*x^r)/sqrt(d))/d^(5/2)/r^2+2*b*n*arctanh(sqrt(d+e*x^r)/sqrt(d))^2/d^(5/2)/r^2+2/3*(1/d/r/(d+e*x^r)^(3/2)+3/d^2/r/sqrt(d+e*x^r)-3*arctanh(sqrt(d+e*x^r)/sqrt(d))/d^(5/2)/r)*(a+b*ln(c*x^n))-4*b*n*arctanh(sqrt(d+e*x^r)/sqrt(d))*ln(2*sqrt(d)/(sqrt(d)-sqrt(d+e*x^r)))/d^(5/2)/r^2-2*b*n*polylog(2,1-2*sqrt(d)/(sqrt(d)-sqrt(d+e*x^r)))/d^(5/2)/r^2,1],
[(a+b*ln(c*x^n))/x/(d+e*x^r)^(7/2),x,20,-4/15*b*n/d^2/r^2/(d+e*x^r)^(3/2)-32/15*b*n/d^3/r^2/sqrt(d+e*x^r)+92/15*b*n*arctanh(sqrt(d+e*x^r)/sqrt(d))/d^(7/2)/r^2+2*b*n*arctanh(sqrt(d+e*x^r)/sqrt(d))^2/d^(7/2)/r^2+2/15*(3/d/r/(d+e*x^r)^(5/2)+5/d^2/r/(d+e*x^r)^(3/2)+15/d^3/r/sqrt(d+e*x^r)-15*arctanh(sqrt(d+e*x^r)/sqrt(d))/d^(7/2)/r)*(a+b*ln(c*x^n))-4*b*n*arctanh(sqrt(d+e*x^r)/sqrt(d))*ln(2*sqrt(d)/(sqrt(d)-sqrt(d+e*x^r)))/d^(7/2)/r^2-2*b*n*polylog(2,1-2*sqrt(d)/(sqrt(d)-sqrt(d+e*x^r)))/d^(7/2)/r^2,1],
[(f*x)^m*(d+e*x^r)^3*(a+b*ln(c*x^n)),x,9,-3*b*d^2*e*n*x^(1+r)*(f*x)^m/(1+m+r)^2-3*b*d*e^2*n*x^(1+2*r)*(f*x)^m/(1+m+2*r)^2-b*e^3*n*x^(1+3*r)*(f*x)^m/(1+m+3*r)^2-b*d^3*n*(f*x)^(1+m)/f/(1+m)^2+d^3*(f*x)^(1+m)*(a+b*ln(c*x^n))/f/(1+m)+3*d^2*e*x^r*(f*x)^(1+m)*(a+b*ln(c*x^n))/f/(1+m+r)+3*d*e^2*x^(2*r)*(f*x)^(1+m)*(a+b*ln(c*x^n))/f/(1+m+2*r)+e^3*x^(3*r)*(f*x)^(1+m)*(a+b*ln(c*x^n))/f/(1+m+3*r),1],
[(f*x)^m*(d+e*x^r)^2*(a+b*ln(c*x^n)),x,4,-b*d^2*n*(f*x)^(1+m)/f/(1+m)^2-2*b*d*e*n*x^r*(f*x)^(1+m)/f/(1+m+r)^2-b*e^2*n*x^(2*r)*(f*x)^(1+m)/f/(1+m+2*r)^2+d^2*(f*x)^(1+m)*(a+b*ln(c*x^n))/f/(1+m)+2*d*e*x^r*(f*x)^(1+m)*(a+b*ln(c*x^n))/f/(1+m+r)+e^2*x^(2*r)*(f*x)^(1+m)*(a+b*ln(c*x^n))/f/(1+m+2*r),1],
[(f*x)^m*(d+e*x^r)*(a+b*ln(c*x^n)),x,4,-b*d*n*(f*x)^(1+m)/f/(1+m)^2-b*e*n*x^r*(f*x)^(1+m)/f/(1+m+r)^2+d*(f*x)^(1+m)*(a+b*ln(c*x^n))/f/(1+m)+e*x^r*(f*x)^(1+m)*(a+b*ln(c*x^n))/f/(1+m+r),1],
[(f*x)^m*(a+b*ln(c*x^n)),x,1,-b*n*(f*x)^(1+m)/f/(1+m)^2+(f*x)^(1+m)*(a+b*ln(c*x^n))/f/(1+m),1],
[(f*x)^m*(a+b*ln(c*x^n))/(d+e*x^r),x,0,Defer(Int)((f*x)^m*(a+b*ln(c*x^n))/(d+e*x^r),x),0],
[(f*x)^m*(a+b*ln(c*x^n))/(d+e*x^r)^2,x,0,Defer(Int)((f*x)^m*(a+b*ln(c*x^n))/(d+e*x^r)^2,x),0],
[(d+e/(x^(1/(1+q))))^q*(a+b*ln(c*x^n)),x,3,-b*n*x*(d+e/(x^(1/(1+q))))^(1+q)*hypergeom([1, -1-q],[-q],e/(x^(1/(1+q)))/(d+e/(x^(1/(1+q)))))/d+x*(d+e/(x^(1/(1+q))))^(1+q)*(a+b*ln(c*x^n))/d,1],
[(f*x)^(-1-(1+q)*r)*(d+e*x^r)^q*(a+b*ln(c*x^n)),x,4,-b*n*(d+e*x^r)^(1+q)*hypergeom([1, -1-q],[-q],e*x^r/(d+e*x^r))/d/f/(1+q)^2/r^2/((f*x)^((1+q)*r))-(d+e*x^r)^(1+q)*(a+b*ln(c*x^n))/d/f/(1+q)/r/((f*x)^((1+q)*r)),1],
[(f*x)^m*(d+e*x^r)^3*(a+b*ln(c*x^n))^p,x,13,d^3*(f*x)^(1+m)*GAMMA(p+1,-(1+m)*(a+b*ln(c*x^n))/b/n)*(a+b*ln(c*x^n))^p/exp(a*(1+m)/b/n)/f/(1+m)/((c*x^n)^((1+m)/n))/((-(1+m)*(a+b*ln(c*x^n))/b/n)^p)+3*d^2*e*x^(1+r)*(f*x)^m*GAMMA(p+1,-(1+m+r)*(a+b*ln(c*x^n))/b/n)*(a+b*ln(c*x^n))^p/exp(a*(1+m+r)/b/n)/(1+m+r)/((c*x^n)^((1+m+r)/n))/((-(1+m+r)*(a+b*ln(c*x^n))/b/n)^p)+3*d*e^2*x^(1+2*r)*(f*x)^m*GAMMA(p+1,-(1+m+2*r)*(a+b*ln(c*x^n))/b/n)*(a+b*ln(c*x^n))^p/exp(a*(1+m+2*r)/b/n)/(1+m+2*r)/((c*x^n)^((1+m+2*r)/n))/((-(1+m+2*r)*(a+b*ln(c*x^n))/b/n)^p)+e^3*x^(1+3*r)*(f*x)^m*GAMMA(p+1,-(1+m+3*r)*(a+b*ln(c*x^n))/b/n)*(a+b*ln(c*x^n))^p/exp(a*(1+m+3*r)/b/n)/(1+m+3*r)/((c*x^n)^((1+m+3*r)/n))/((-(1+m+3*r)*(a+b*ln(c*x^n))/b/n)^p),1],
[(f*x)^m*(d+e*x^r)^2*(a+b*ln(c*x^n))^p,x,10,d^2*(f*x)^(1+m)*GAMMA(p+1,-(1+m)*(a+b*ln(c*x^n))/b/n)*(a+b*ln(c*x^n))^p/exp(a*(1+m)/b/n)/f/(1+m)/((c*x^n)^((1+m)/n))/((-(1+m)*(a+b*ln(c*x^n))/b/n)^p)+2*d*e*x^(1+r)*(f*x)^m*GAMMA(p+1,-(1+m+r)*(a+b*ln(c*x^n))/b/n)*(a+b*ln(c*x^n))^p/exp(a*(1+m+r)/b/n)/(1+m+r)/((c*x^n)^((1+m+r)/n))/((-(1+m+r)*(a+b*ln(c*x^n))/b/n)^p)+e^2*x^(1+2*r)*(f*x)^m*GAMMA(p+1,-(1+m+2*r)*(a+b*ln(c*x^n))/b/n)*(a+b*ln(c*x^n))^p/exp(a*(1+m+2*r)/b/n)/(1+m+2*r)/((c*x^n)^((1+m+2*r)/n))/((-(1+m+2*r)*(a+b*ln(c*x^n))/b/n)^p),1],
[(f*x)^m*(d+e*x^r)*(a+b*ln(c*x^n))^p,x,7,d*(f*x)^(1+m)*GAMMA(p+1,-(1+m)*(a+b*ln(c*x^n))/b/n)*(a+b*ln(c*x^n))^p/exp(a*(1+m)/b/n)/f/(1+m)/((c*x^n)^((1+m)/n))/((-(1+m)*(a+b*ln(c*x^n))/b/n)^p)+e*x^(1+r)*(f*x)^m*GAMMA(p+1,-(1+m+r)*(a+b*ln(c*x^n))/b/n)*(a+b*ln(c*x^n))^p/exp(a*(1+m+r)/b/n)/(1+m+r)/((c*x^n)^((1+m+r)/n))/((-(1+m+r)*(a+b*ln(c*x^n))/b/n)^p),1],
[(f*x)^m*(a+b*ln(c*x^n))^p,x,2,(f*x)^(1+m)*GAMMA(p+1,-(1+m)*(a+b*ln(c*x^n))/b/n)*(a+b*ln(c*x^n))^p/exp(a*(1+m)/b/n)/f/(1+m)/((c*x^n)^((1+m)/n))/((-(1+m)*(a+b*ln(c*x^n))/b/n)^p),1],
[(f*x)^m*(a+b*ln(c*x^n))^p/(d+e*x^r),x,0,Defer(Int)((f*x)^m*(a+b*ln(c*x^n))^p/(d+e*x^r),x),0],
[(f*x)^m*(a+b*ln(c*x^n))^p/(d+e*x^r)^2,x,0,Defer(Int)((f*x)^m*(a+b*ln(c*x^n))^p/(d+e*x^r)^2,x),0],
[(g*x+f)*(a+b*ln(c*x^n))/(e*x+d)^3,x,3,1/2*b*(-d*g+e*f)*n/d/e^2/(e*x+d)+1/2*b*f^2*n*ln(x)/d^2/(-d*g+e*f)-1/2*(g*x+f)^2*(a+b*ln(c*x^n))/(-d*g+e*f)/(e*x+d)^2-1/2*b*(d*g+e*f)*n*ln(e*x+d)/d^2/e^2,1],
[(g*x+f)*(a+b*ln(c*x^n))^2/(e*x+d)^3,x,8,-b*(-d*g+e*f)*n*x*(a+b*ln(c*x^n))/d^2/e/(e*x+d)+1/2*f^2*(a+b*ln(c*x^n))^2/d^2/(-d*g+e*f)-1/2*(g*x+f)^2*(a+b*ln(c*x^n))^2/(-d*g+e*f)/(e*x+d)^2+b^2*(-d*g+e*f)*n^2*ln(e*x+d)/d^2/e^2-b*(d*g+e*f)*n*(a+b*ln(c*x^n))*ln(1+e*x/d)/d^2/e^2-b^2*(d*g+e*f)*n^2*polylog(2,-e*x/d)/d^2/e^2,1],
[(g*x+f)*(a+b*ln(c*x^n))^3/(e*x+d)^3,x,11,-3/2*b*(-d*g+e*f)*n*x*(a+b*ln(c*x^n))^2/d^2/e/(e*x+d)+1/2*f^2*(a+b*ln(c*x^n))^3/d^2/(-d*g+e*f)-1/2*(g*x+f)^2*(a+b*ln(c*x^n))^3/(-d*g+e*f)/(e*x+d)^2+3*b^2*(-d*g+e*f)*n^2*(a+b*ln(c*x^n))*ln(1+e*x/d)/d^2/e^2-3/2*b*(d*g+e*f)*n*(a+b*ln(c*x^n))^2*ln(1+e*x/d)/d^2/e^2+3*b^3*(-d*g+e*f)*n^3*polylog(2,-e*x/d)/d^2/e^2-3*b^2*(d*g+e*f)*n^2*(a+b*ln(c*x^n))*polylog(2,-e*x/d)/d^2/e^2+3*b^3*(d*g+e*f)*n^3*polylog(3,-e*x/d)/d^2/e^2,1]]: