1,1,191,104,0.021000," ","int(x^3/(a+b*exp(d*x+c)),x)","\frac{x^{4}}{4 a}-\frac{x^{3} \ln \left(\frac{b \,{\mathrm e}^{d x +c}}{a}+1\right)}{a d}+\frac{c^{3} x}{a \,d^{3}}-\frac{3 x^{2} \polylog \left(2, -\frac{b \,{\mathrm e}^{d x +c}}{a}\right)}{a \,d^{2}}+\frac{3 c^{4}}{4 a \,d^{4}}-\frac{c^{3} \ln \left(\frac{b \,{\mathrm e}^{d x +c}}{a}+1\right)}{a \,d^{4}}+\frac{c^{3} \ln \left(b \,{\mathrm e}^{d x +c}+a \right)}{a \,d^{4}}-\frac{c^{3} \ln \left({\mathrm e}^{d x +c}\right)}{a \,d^{4}}+\frac{6 x \polylog \left(3, -\frac{b \,{\mathrm e}^{d x +c}}{a}\right)}{a \,d^{3}}-\frac{6 \polylog \left(4, -\frac{b \,{\mathrm e}^{d x +c}}{a}\right)}{a \,d^{4}}"," ",0,"1/4*x^4/a+1/d^3/a*x*c^3+3/4/d^4/a*c^4-x^3*ln(1+b*exp(d*x+c)/a)/a/d-1/d^4/a*ln(1+b*exp(d*x+c)/a)*c^3-3*x^2*polylog(2,-b*exp(d*x+c)/a)/a/d^2+6*x*polylog(3,-b*exp(d*x+c)/a)/a/d^3-6*polylog(4,-b*exp(d*x+c)/a)/a/d^4-1/d^4*c^3/a*ln(exp(d*x+c))+1/d^4*c^3/a*ln(a+b*exp(d*x+c))","A"
2,1,166,79,0.019000," ","int(x^2/(b*exp(d*x+c)+a),x)","\frac{x^{3}}{3 a}-\frac{x^{2} \ln \left(\frac{b \,{\mathrm e}^{d x +c}}{a}+1\right)}{a d}-\frac{c^{2} x}{a \,d^{2}}-\frac{2 c^{3}}{3 a \,d^{3}}+\frac{c^{2} \ln \left(\frac{b \,{\mathrm e}^{d x +c}}{a}+1\right)}{a \,d^{3}}-\frac{c^{2} \ln \left(b \,{\mathrm e}^{d x +c}+a \right)}{a \,d^{3}}+\frac{c^{2} \ln \left({\mathrm e}^{d x +c}\right)}{a \,d^{3}}-\frac{2 x \polylog \left(2, -\frac{b \,{\mathrm e}^{d x +c}}{a}\right)}{a \,d^{2}}+\frac{2 \polylog \left(3, -\frac{b \,{\mathrm e}^{d x +c}}{a}\right)}{a \,d^{3}}"," ",0,"1/3*x^3/a-1/d^2/a*x*c^2-2/3/d^3/a*c^3-x^2*ln(1/a*b*exp(d*x+c)+1)/a/d+1/d^3/a*ln(1/a*b*exp(d*x+c)+1)*c^2-2*x*polylog(2,-1/a*b*exp(d*x+c))/a/d^2+2*polylog(3,-1/a*b*exp(d*x+c))/a/d^3+1/d^3*c^2/a*ln(exp(d*x+c))-1/d^3*c^2/a*ln(b*exp(d*x+c)+a)","B"
3,1,133,54,0.018000," ","int(x/(b*exp(d*x+c)+a),x)","\frac{x^{2}}{2 a}+\frac{c x}{a d}-\frac{x \ln \left(\frac{b \,{\mathrm e}^{d x +c}}{a}+1\right)}{a d}+\frac{c^{2}}{2 a \,d^{2}}-\frac{c \ln \left(\frac{b \,{\mathrm e}^{d x +c}}{a}+1\right)}{a \,d^{2}}+\frac{c \ln \left(b \,{\mathrm e}^{d x +c}+a \right)}{a \,d^{2}}-\frac{c \ln \left({\mathrm e}^{d x +c}\right)}{a \,d^{2}}-\frac{\polylog \left(2, -\frac{b \,{\mathrm e}^{d x +c}}{a}\right)}{a \,d^{2}}"," ",0,"1/2*x^2/a+1/d/a*x*c+1/2/d^2/a*c^2-x*ln(1/a*b*exp(d*x+c)+1)/a/d-1/d^2/a*ln(1/a*b*exp(d*x+c)+1)*c-polylog(2,-1/a*b*exp(d*x+c))/a/d^2-1/d^2*c/a*ln(exp(d*x+c))+1/d^2*c/a*ln(b*exp(d*x+c)+a)","B"
4,1,35,25,0.010000," ","int(1/(b*exp(d*x+c)+a),x)","-\frac{\ln \left(b \,{\mathrm e}^{d x +c}+a \right)}{a d}+\frac{\ln \left({\mathrm e}^{d x +c}\right)}{a d}"," ",0,"1/d/a*ln(exp(d*x+c))-ln(b*exp(d*x+c)+a)/a/d","A"
5,0,0,18,0.053000," ","int(1/(b*exp(d*x+c)+a)/x,x)","\int \frac{1}{\left(b \,{\mathrm e}^{d x +c}+a \right) x}\, dx"," ",0,"int(1/(b*exp(d*x+c)+a)/x,x)","F"
6,0,0,18,0.047000," ","int(1/(b*exp(d*x+c)+a)/x^2,x)","\int \frac{1}{\left(b \,{\mathrm e}^{d x +c}+a \right) x^{2}}\, dx"," ",0,"int(1/(b*exp(d*x+c)+a)/x^2,x)","F"
7,1,37,25,0.010000," ","int(1/(a+b*exp(-d*x+c)),x)","\frac{\ln \left(b \,{\mathrm e}^{-d x +c}+a \right)}{a d}-\frac{\ln \left({\mathrm e}^{-d x +c}\right)}{a d}"," ",0,"-1/d/a*ln(exp(-d*x+c))+ln(a+b*exp(-d*x+c))/a/d","A"
8,1,41,27,0.010000," ","int(1/(a+b*exp(-d*x-c)),x)","\frac{\ln \left(b \,{\mathrm e}^{-d x -c}+a \right)}{a d}-\frac{\ln \left({\mathrm e}^{-d x -c}\right)}{a d}"," ",0,"-1/d/a*ln(exp(-d*x-c))+ln(a+b*exp(-d*x-c))/a/d","A"
9,1,382,207,0.141000," ","int(x^3/(b*exp(d*x+c)+a)^2,x)","\frac{x^{4}}{4 a^{2}}+\frac{x^{3}}{\left(b \,{\mathrm e}^{d x +c}+a \right) a d}-\frac{x^{3} \ln \left(\frac{b \,{\mathrm e}^{d x +c}}{a}+1\right)}{a^{2} d}-\frac{x^{3}}{a^{2} d}+\frac{c^{3} x}{a^{2} d^{3}}-\frac{3 x^{2} \polylog \left(2, -\frac{b \,{\mathrm e}^{d x +c}}{a}\right)}{a^{2} d^{2}}+\frac{3 x^{2} \ln \left(\frac{b \,{\mathrm e}^{d x +c}}{a}+1\right)}{a^{2} d^{2}}+\frac{3 c^{4}}{4 a^{2} d^{4}}-\frac{c^{3} \ln \left(\frac{b \,{\mathrm e}^{d x +c}}{a}+1\right)}{a^{2} d^{4}}+\frac{c^{3} \ln \left(b \,{\mathrm e}^{d x +c}+a \right)}{a^{2} d^{4}}-\frac{c^{3} \ln \left({\mathrm e}^{d x +c}\right)}{a^{2} d^{4}}+\frac{3 c^{2} x}{a^{2} d^{3}}+\frac{2 c^{3}}{a^{2} d^{4}}-\frac{3 c^{2} \ln \left(\frac{b \,{\mathrm e}^{d x +c}}{a}+1\right)}{a^{2} d^{4}}+\frac{3 c^{2} \ln \left(b \,{\mathrm e}^{d x +c}+a \right)}{a^{2} d^{4}}-\frac{3 c^{2} \ln \left({\mathrm e}^{d x +c}\right)}{a^{2} d^{4}}+\frac{6 x \polylog \left(2, -\frac{b \,{\mathrm e}^{d x +c}}{a}\right)}{a^{2} d^{3}}+\frac{6 x \polylog \left(3, -\frac{b \,{\mathrm e}^{d x +c}}{a}\right)}{a^{2} d^{3}}-\frac{6 \polylog \left(3, -\frac{b \,{\mathrm e}^{d x +c}}{a}\right)}{a^{2} d^{4}}-\frac{6 \polylog \left(4, -\frac{b \,{\mathrm e}^{d x +c}}{a}\right)}{a^{2} d^{4}}"," ",0,"x^3/a/d/(b*exp(d*x+c)+a)+3/4/a^2/d^4*c^4-6*polylog(3,-1/a*b*exp(d*x+c))/a^2/d^4+3/a^2/d^4*c^2*ln(b*exp(d*x+c)+a)-3/a^2/d^4*c^2*ln(exp(d*x+c))+1/a^2/d^4*c^3*ln(b*exp(d*x+c)+a)-1/a^2/d^4*c^3*ln(exp(d*x+c))+1/4*x^4/a^2-x^3/a^2/d-1/a^2/d^4*c^3*ln(1/a*b*exp(d*x+c)+1)+2/a^2/d^4*c^3-6*polylog(4,-1/a*b*exp(d*x+c))/a^2/d^4-3/a^2/d^4*c^2*ln(1/a*b*exp(d*x+c)+1)+6*x*polylog(3,-1/a*b*exp(d*x+c))/a^2/d^3+3*x^2*ln(1/a*b*exp(d*x+c)+1)/a^2/d^2+6*x*polylog(2,-1/a*b*exp(d*x+c))/a^2/d^3-3*x^2*polylog(2,-1/a*b*exp(d*x+c))/a^2/d^2-x^3*ln(1/a*b*exp(d*x+c)+1)/a^2/d+1/a^2/d^3*c^3*x+3/a^2/d^3*c^2*x","A"
10,1,324,157,0.114000," ","int(x^2/(b*exp(d*x+c)+a)^2,x)","\frac{x^{3}}{3 a^{2}}+\frac{x^{2}}{\left(b \,{\mathrm e}^{d x +c}+a \right) a d}-\frac{x^{2} \ln \left(\frac{b \,{\mathrm e}^{d x +c}}{a}+1\right)}{a^{2} d}-\frac{c^{2} x}{a^{2} d^{2}}-\frac{x^{2}}{a^{2} d}-\frac{2 c^{3}}{3 a^{2} d^{3}}+\frac{c^{2} \ln \left(\frac{b \,{\mathrm e}^{d x +c}}{a}+1\right)}{a^{2} d^{3}}-\frac{c^{2} \ln \left(b \,{\mathrm e}^{d x +c}+a \right)}{a^{2} d^{3}}+\frac{c^{2} \ln \left({\mathrm e}^{d x +c}\right)}{a^{2} d^{3}}-\frac{2 c x}{a^{2} d^{2}}-\frac{2 x \polylog \left(2, -\frac{b \,{\mathrm e}^{d x +c}}{a}\right)}{a^{2} d^{2}}+\frac{2 x \ln \left(\frac{b \,{\mathrm e}^{d x +c}}{a}+1\right)}{a^{2} d^{2}}-\frac{c^{2}}{a^{2} d^{3}}+\frac{2 c \ln \left(\frac{b \,{\mathrm e}^{d x +c}}{a}+1\right)}{a^{2} d^{3}}-\frac{2 c \ln \left(b \,{\mathrm e}^{d x +c}+a \right)}{a^{2} d^{3}}+\frac{2 c \ln \left({\mathrm e}^{d x +c}\right)}{a^{2} d^{3}}+\frac{2 \polylog \left(2, -\frac{b \,{\mathrm e}^{d x +c}}{a}\right)}{a^{2} d^{3}}+\frac{2 \polylog \left(3, -\frac{b \,{\mathrm e}^{d x +c}}{a}\right)}{a^{2} d^{3}}"," ",0,"x^2/a/d/(b*exp(d*x+c)+a)-1/a^2/d^3*c^2*ln(b*exp(d*x+c)+a)+1/a^2/d^3*c^2*ln(exp(d*x+c))+1/3*x^3/a^2-1/a^2/d^2*c^2*x-2/3/a^2/d^3*c^3-x^2*ln(1/a*b*exp(d*x+c)+1)/a^2/d+1/a^2/d^3*ln(1/a*b*exp(d*x+c)+1)*c^2-2*x*polylog(2,-1/a*b*exp(d*x+c))/a^2/d^2+2*polylog(3,-1/a*b*exp(d*x+c))/a^2/d^3-2/a^2/d^3*c*ln(b*exp(d*x+c)+a)+2/a^2/d^3*c*ln(exp(d*x+c))-x^2/a^2/d-2/a^2/d^2*c*x-1/a^2/d^3*c^2+2*x*ln(1/a*b*exp(d*x+c)+1)/a^2/d^2+2/a^2/d^3*ln(1/a*b*exp(d*x+c)+1)*c+2*polylog(2,-1/a*b*exp(d*x+c))/a^2/d^3","B"
11,1,231,101,0.030000," ","int(x/(b*exp(d*x+c)+a)^2,x)","-\frac{b x \,{\mathrm e}^{d x +c}}{\left(b \,{\mathrm e}^{d x +c}+a \right) a^{2} d}+\frac{x^{2}}{2 a^{2}}-\frac{b c \,{\mathrm e}^{d x +c}}{\left(b \,{\mathrm e}^{d x +c}+a \right) a^{2} d^{2}}+\frac{c x}{a^{2} d}-\frac{x \ln \left(\frac{b \,{\mathrm e}^{d x +c}+a}{a}\right)}{a^{2} d}-\frac{c}{\left(b \,{\mathrm e}^{d x +c}+a \right) a \,d^{2}}+\frac{c^{2}}{2 a^{2} d^{2}}-\frac{c \ln \left(\frac{b \,{\mathrm e}^{d x +c}+a}{a}\right)}{a^{2} d^{2}}+\frac{c \ln \left(b \,{\mathrm e}^{d x +c}+a \right)}{a^{2} d^{2}}-\frac{c \ln \left({\mathrm e}^{d x +c}\right)}{a^{2} d^{2}}-\frac{\dilog \left(\frac{b \,{\mathrm e}^{d x +c}+a}{a}\right)}{a^{2} d^{2}}+\frac{\ln \left(b \,{\mathrm e}^{d x +c}+a \right)}{a^{2} d^{2}}"," ",0,"1/2*x^2/a^2+1/d/a^2*x*c+1/2/d^2/a^2*c^2+ln(b*exp(d*x+c)+a)/a^2/d^2-1/d/a^2*b*exp(d*x+c)/(b*exp(d*x+c)+a)*x-1/d^2/a^2*b*exp(d*x+c)/(b*exp(d*x+c)+a)*c-1/d^2/a^2*dilog((b*exp(d*x+c)+a)/a)-1/d/a^2*ln((b*exp(d*x+c)+a)/a)*x-1/d^2/a^2*ln((b*exp(d*x+c)+a)/a)*c-1/d^2*c/a^2*ln(exp(d*x+c))+1/d^2*c/a^2*ln(b*exp(d*x+c)+a)-1/d^2*c/a/(b*exp(d*x+c)+a)","B"
12,1,54,44,0.012000," ","int(1/(b*exp(d*x+c)+a)^2,x)","\frac{1}{\left(b \,{\mathrm e}^{d x +c}+a \right) a d}-\frac{\ln \left(b \,{\mathrm e}^{d x +c}+a \right)}{a^{2} d}+\frac{\ln \left({\mathrm e}^{d x +c}\right)}{a^{2} d}"," ",0,"1/d/a^2*ln(exp(d*x+c))-ln(b*exp(d*x+c)+a)/a^2/d+1/a/d/(b*exp(d*x+c)+a)","A"
13,0,0,18,0.158000," ","int(1/(b*exp(d*x+c)+a)^2/x,x)","\int \frac{1}{\left(b \,{\mathrm e}^{d x +c}+a \right)^{2} x}\, dx"," ",0,"int(1/(b*exp(d*x+c)+a)^2/x,x)","F"
14,0,0,18,0.174000," ","int(1/(b*exp(d*x+c)+a)^2/x^2,x)","\int \frac{1}{\left(b \,{\mathrm e}^{d x +c}+a \right)^{2} x^{2}}\, dx"," ",0,"int(1/(b*exp(d*x+c)+a)^2/x^2,x)","F"
15,1,58,46,0.013000," ","int(1/(b*exp(-d*x+c)+a)^2,x)","-\frac{1}{\left(b \,{\mathrm e}^{-d x +c}+a \right) a d}+\frac{\ln \left(b \,{\mathrm e}^{-d x +c}+a \right)}{a^{2} d}-\frac{\ln \left({\mathrm e}^{-d x +c}\right)}{a^{2} d}"," ",0,"-1/d/a^2*ln(exp(-d*x+c))+ln(b*exp(-d*x+c)+a)/a^2/d-1/a/d/(b*exp(-d*x+c)+a)","A"
16,1,64,50,0.011000," ","int(1/(b*exp(-d*x-c)+a)^2,x)","-\frac{1}{\left(b \,{\mathrm e}^{-d x -c}+a \right) a d}+\frac{\ln \left(b \,{\mathrm e}^{-d x -c}+a \right)}{a^{2} d}-\frac{\ln \left({\mathrm e}^{-d x -c}\right)}{a^{2} d}"," ",0,"-1/d/a^2*ln(exp(-d*x-c))+ln(b*exp(-d*x-c)+a)/a^2/d-1/a/d/(b*exp(-d*x-c)+a)","A"
17,1,548,309,0.167000," ","int(x^3/(b*exp(d*x+c)+a)^3,x)","\frac{x^{4}}{4 a^{3}}-\frac{x^{3} \ln \left(\frac{b \,{\mathrm e}^{d x +c}}{a}+1\right)}{a^{3} d}-\frac{3 x^{3}}{2 a^{3} d}+\frac{\left(2 b d x \,{\mathrm e}^{d x +c}+3 a d x -3 b \,{\mathrm e}^{d x +c}-3 a \right) x^{2}}{2 \left(b \,{\mathrm e}^{d x +c}+a \right)^{2} a^{2} d^{2}}+\frac{c^{3} x}{a^{3} d^{3}}-\frac{3 x^{2} \polylog \left(2, -\frac{b \,{\mathrm e}^{d x +c}}{a}\right)}{a^{3} d^{2}}+\frac{9 x^{2} \ln \left(\frac{b \,{\mathrm e}^{d x +c}}{a}+1\right)}{2 a^{3} d^{2}}+\frac{3 c^{4}}{4 a^{3} d^{4}}-\frac{c^{3} \ln \left(\frac{b \,{\mathrm e}^{d x +c}}{a}+1\right)}{a^{3} d^{4}}+\frac{c^{3} \ln \left(b \,{\mathrm e}^{d x +c}+a \right)}{a^{3} d^{4}}-\frac{c^{3} \ln \left({\mathrm e}^{d x +c}\right)}{a^{3} d^{4}}+\frac{9 c^{2} x}{2 a^{3} d^{3}}+\frac{3 x^{2}}{2 a^{3} d^{2}}+\frac{3 c^{3}}{a^{3} d^{4}}-\frac{9 c^{2} \ln \left(\frac{b \,{\mathrm e}^{d x +c}}{a}+1\right)}{2 a^{3} d^{4}}+\frac{9 c^{2} \ln \left(b \,{\mathrm e}^{d x +c}+a \right)}{2 a^{3} d^{4}}-\frac{9 c^{2} \ln \left({\mathrm e}^{d x +c}\right)}{2 a^{3} d^{4}}+\frac{3 c x}{a^{3} d^{3}}+\frac{9 x \polylog \left(2, -\frac{b \,{\mathrm e}^{d x +c}}{a}\right)}{a^{3} d^{3}}+\frac{6 x \polylog \left(3, -\frac{b \,{\mathrm e}^{d x +c}}{a}\right)}{a^{3} d^{3}}-\frac{3 x \ln \left(\frac{b \,{\mathrm e}^{d x +c}}{a}+1\right)}{a^{3} d^{3}}+\frac{3 c^{2}}{2 a^{3} d^{4}}-\frac{3 c \ln \left(\frac{b \,{\mathrm e}^{d x +c}}{a}+1\right)}{a^{3} d^{4}}+\frac{3 c \ln \left(b \,{\mathrm e}^{d x +c}+a \right)}{a^{3} d^{4}}-\frac{3 c \ln \left({\mathrm e}^{d x +c}\right)}{a^{3} d^{4}}-\frac{3 \polylog \left(2, -\frac{b \,{\mathrm e}^{d x +c}}{a}\right)}{a^{3} d^{4}}-\frac{9 \polylog \left(3, -\frac{b \,{\mathrm e}^{d x +c}}{a}\right)}{a^{3} d^{4}}-\frac{6 \polylog \left(4, -\frac{b \,{\mathrm e}^{d x +c}}{a}\right)}{a^{3} d^{4}}"," ",0,"1/2*x^2*(2*x*b*d*exp(d*x+c)+3*a*d*x-3*b*exp(d*x+c)-3*a)/d^2/a^2/(b*exp(d*x+c)+a)^2+9*x*polylog(2,-1/a*b*exp(d*x+c))/a^3/d^3-3*x^2*polylog(2,-1/a*b*exp(d*x+c))/a^3/d^2+6*x*polylog(3,-1/a*b*exp(d*x+c))/a^3/d^3+3/a^3/d^4*c^3+3/2/a^3/d^4*c^2+3/4/a^3/d^4*c^4+1/4*x^4/a^3-3*x*ln(1/a*b*exp(d*x+c)+1)/a^3/d^3+9/2*x^2*ln(1/a*b*exp(d*x+c)+1)/a^3/d^2-x^3*ln(1/a*b*exp(d*x+c)+1)/a^3/d+9/2/a^3/d^3*c^2*x+3/a^3/d^3*c*x+1/a^3/d^3*c^3*x+9/2/a^3/d^4*c^2*ln(b*exp(d*x+c)+a)-9/2/a^3/d^4*c^2*ln(exp(d*x+c))+1/a^3/d^4*c^3*ln(b*exp(d*x+c)+a)-1/a^3/d^4*c^3*ln(exp(d*x+c))+3/a^3/d^4*c*ln(b*exp(d*x+c)+a)-3/a^3/d^4*c*ln(exp(d*x+c))-9/2/a^3/d^4*ln(1/a*b*exp(d*x+c)+1)*c^2-3/a^3/d^4*ln(1/a*b*exp(d*x+c)+1)*c-1/a^3/d^4*ln(1/a*b*exp(d*x+c)+1)*c^3+3/2*x^2/a^3/d^2-3/2*x^3/a^3/d-3*polylog(2,-1/a*b*exp(d*x+c))/a^3/d^4-9*polylog(3,-1/a*b*exp(d*x+c))/a^3/d^4-6*polylog(4,-1/a*b*exp(d*x+c))/a^3/d^4","A"
18,1,385,228,0.139000," ","int(x^2/(b*exp(d*x+c)+a)^3,x)","\frac{x^{3}}{3 a^{3}}-\frac{x^{2} \ln \left(\frac{b \,{\mathrm e}^{d x +c}}{a}+1\right)}{a^{3} d}-\frac{c^{2} x}{a^{3} d^{2}}-\frac{3 x^{2}}{2 a^{3} d}+\frac{\left(2 b d x \,{\mathrm e}^{d x +c}+3 a d x -2 b \,{\mathrm e}^{d x +c}-2 a \right) x}{2 \left(b \,{\mathrm e}^{d x +c}+a \right)^{2} a^{2} d^{2}}-\frac{2 c^{3}}{3 a^{3} d^{3}}+\frac{c^{2} \ln \left(\frac{b \,{\mathrm e}^{d x +c}}{a}+1\right)}{a^{3} d^{3}}-\frac{c^{2} \ln \left(b \,{\mathrm e}^{d x +c}+a \right)}{a^{3} d^{3}}+\frac{c^{2} \ln \left({\mathrm e}^{d x +c}\right)}{a^{3} d^{3}}-\frac{3 c x}{a^{3} d^{2}}-\frac{2 x \polylog \left(2, -\frac{b \,{\mathrm e}^{d x +c}}{a}\right)}{a^{3} d^{2}}+\frac{3 x \ln \left(\frac{b \,{\mathrm e}^{d x +c}}{a}+1\right)}{a^{3} d^{2}}-\frac{3 c^{2}}{2 a^{3} d^{3}}+\frac{3 c \ln \left(\frac{b \,{\mathrm e}^{d x +c}}{a}+1\right)}{a^{3} d^{3}}-\frac{3 c \ln \left(b \,{\mathrm e}^{d x +c}+a \right)}{a^{3} d^{3}}+\frac{3 c \ln \left({\mathrm e}^{d x +c}\right)}{a^{3} d^{3}}+\frac{3 \polylog \left(2, -\frac{b \,{\mathrm e}^{d x +c}}{a}\right)}{a^{3} d^{3}}+\frac{2 \polylog \left(3, -\frac{b \,{\mathrm e}^{d x +c}}{a}\right)}{a^{3} d^{3}}-\frac{\ln \left(b \,{\mathrm e}^{d x +c}+a \right)}{a^{3} d^{3}}+\frac{\ln \left({\mathrm e}^{d x +c}\right)}{a^{3} d^{3}}"," ",0,"1/2*x*(2*b*d*x*exp(d*x+c)+3*a*d*x-2*b*exp(d*x+c)-2*a)/d^2/a^2/(b*exp(d*x+c)+a)^2-ln(b*exp(d*x+c)+a)/a^3/d^3+1/a^3/d^3*ln(exp(d*x+c))-1/a^3/d^3*c^2*ln(b*exp(d*x+c)+a)+1/a^3/d^3*c^2*ln(exp(d*x+c))+1/3*x^3/a^3-1/a^3/d^2*c^2*x-2/3/a^3/d^3*c^3-x^2*ln(1/a*b*exp(d*x+c)+1)/a^3/d+1/a^3/d^3*ln(1/a*b*exp(d*x+c)+1)*c^2-2*x*polylog(2,-1/a*b*exp(d*x+c))/a^3/d^2+2*polylog(3,-1/a*b*exp(d*x+c))/a^3/d^3-3/a^3/d^3*c*ln(b*exp(d*x+c)+a)+3/a^3/d^3*c*ln(exp(d*x+c))-3/2*x^2/a^3/d-3/a^3/d^2*c*x-3/2/a^3/d^3*c^2+3*x*ln(1/a*b*exp(d*x+c)+1)/a^3/d^2+3/a^3/d^3*ln(1/a*b*exp(d*x+c)+1)*c+3*polylog(2,-1/a*b*exp(d*x+c))/a^3/d^3","A"
19,1,393,143,0.038000," ","int(x/(b*exp(d*x+c)+a)^3,x)","-\frac{b x \,{\mathrm e}^{d x +c}}{\left(b \,{\mathrm e}^{d x +c}+a \right)^{2} a^{2} d}-\frac{b^{2} x \,{\mathrm e}^{2 d x +2 c}}{2 \left(b \,{\mathrm e}^{d x +c}+a \right)^{2} a^{3} d}-\frac{b c \,{\mathrm e}^{d x +c}}{\left(b \,{\mathrm e}^{d x +c}+a \right)^{2} a^{2} d^{2}}-\frac{b^{2} c \,{\mathrm e}^{2 d x +2 c}}{2 \left(b \,{\mathrm e}^{d x +c}+a \right)^{2} a^{3} d^{2}}-\frac{b x \,{\mathrm e}^{d x +c}}{\left(b \,{\mathrm e}^{d x +c}+a \right) a^{3} d}+\frac{x^{2}}{2 a^{3}}-\frac{c}{2 \left(b \,{\mathrm e}^{d x +c}+a \right)^{2} a \,d^{2}}-\frac{b c \,{\mathrm e}^{d x +c}}{\left(b \,{\mathrm e}^{d x +c}+a \right) a^{3} d^{2}}+\frac{c x}{a^{3} d}-\frac{x \ln \left(\frac{b \,{\mathrm e}^{d x +c}+a}{a}\right)}{a^{3} d}-\frac{c}{\left(b \,{\mathrm e}^{d x +c}+a \right) a^{2} d^{2}}+\frac{c^{2}}{2 a^{3} d^{2}}-\frac{c \ln \left(\frac{b \,{\mathrm e}^{d x +c}+a}{a}\right)}{a^{3} d^{2}}+\frac{c \ln \left(b \,{\mathrm e}^{d x +c}+a \right)}{a^{3} d^{2}}-\frac{c \ln \left({\mathrm e}^{d x +c}\right)}{a^{3} d^{2}}-\frac{1}{2 \left(b \,{\mathrm e}^{d x +c}+a \right) a^{2} d^{2}}-\frac{\dilog \left(\frac{b \,{\mathrm e}^{d x +c}+a}{a}\right)}{a^{3} d^{2}}+\frac{3 \ln \left(b \,{\mathrm e}^{d x +c}+a \right)}{2 a^{3} d^{2}}"," ",0,"1/2*x^2/a^3+1/d/a^3*x*c+1/2/d^2/a^3*c^2+3/2*ln(b*exp(d*x+c)+a)/a^3/d^2-1/d/a^3*b*exp(d*x+c)/(b*exp(d*x+c)+a)*x-1/d^2/a^3*b*exp(d*x+c)/(b*exp(d*x+c)+a)*c-1/2/a^2/d^2/(b*exp(d*x+c)+a)-1/2/d/a^3*b^2*exp(d*x+c)^2/(b*exp(d*x+c)+a)^2*x-1/2/d^2/a^3*b^2*exp(d*x+c)^2/(b*exp(d*x+c)+a)^2*c-1/d/a^2*b*exp(d*x+c)/(b*exp(d*x+c)+a)^2*x-1/d^2/a^2*b*exp(d*x+c)/(b*exp(d*x+c)+a)^2*c-1/d^2/a^3*dilog((b*exp(d*x+c)+a)/a)-1/d/a^3*ln((b*exp(d*x+c)+a)/a)*x-1/d^2/a^3*ln((b*exp(d*x+c)+a)/a)*c-1/d^2*c/a^3*ln(exp(d*x+c))+1/d^2*c/a^3*ln(b*exp(d*x+c)+a)-1/d^2*c/a^2/(b*exp(d*x+c)+a)-1/2/d^2*c/a/(b*exp(d*x+c)+a)^2","B"
20,1,74,64,0.012000," ","int(1/(b*exp(d*x+c)+a)^3,x)","\frac{1}{2 \left(b \,{\mathrm e}^{d x +c}+a \right)^{2} a d}+\frac{1}{\left(b \,{\mathrm e}^{d x +c}+a \right) a^{2} d}-\frac{\ln \left(b \,{\mathrm e}^{d x +c}+a \right)}{a^{3} d}+\frac{\ln \left({\mathrm e}^{d x +c}\right)}{a^{3} d}"," ",0,"1/d/a^3*ln(exp(d*x+c))-ln(b*exp(d*x+c)+a)/a^3/d+1/a^2/d/(b*exp(d*x+c)+a)+1/2/a/d/(b*exp(d*x+c)+a)^2","A"
21,0,0,18,0.187000," ","int(1/(b*exp(d*x+c)+a)^3/x,x)","\int \frac{1}{\left(b \,{\mathrm e}^{d x +c}+a \right)^{3} x}\, dx"," ",0,"int(1/(b*exp(d*x+c)+a)^3/x,x)","F"
22,0,0,18,0.201000," ","int(1/(b*exp(d*x+c)+a)^3/x^2,x)","\int \frac{1}{\left(b \,{\mathrm e}^{d x +c}+a \right)^{3} x^{2}}\, dx"," ",0,"int(1/(b*exp(d*x+c)+a)^3/x^2,x)","F"
23,1,79,67,0.014000," ","int(1/(b*exp(-d*x+c)+a)^3,x)","-\frac{1}{2 \left(b \,{\mathrm e}^{-d x +c}+a \right)^{2} a d}-\frac{1}{\left(b \,{\mathrm e}^{-d x +c}+a \right) a^{2} d}+\frac{\ln \left(b \,{\mathrm e}^{-d x +c}+a \right)}{a^{3} d}-\frac{\ln \left({\mathrm e}^{-d x +c}\right)}{a^{3} d}"," ",0,"-1/d/a^3*ln(exp(-d*x+c))+ln(b*exp(-d*x+c)+a)/a^3/d-1/a^2/d/(b*exp(-d*x+c)+a)-1/2/a/d/(b*exp(-d*x+c)+a)^2","A"
24,1,87,73,0.013000," ","int(1/(b*exp(-d*x-c)+a)^3,x)","-\frac{1}{2 \left(b \,{\mathrm e}^{-d x -c}+a \right)^{2} a d}-\frac{1}{\left(b \,{\mathrm e}^{-d x -c}+a \right) a^{2} d}+\frac{\ln \left(b \,{\mathrm e}^{-d x -c}+a \right)}{a^{3} d}-\frac{\ln \left({\mathrm e}^{-d x -c}\right)}{a^{3} d}"," ",0,"-1/d/a^3*ln(exp(-d*x-c))+ln(b*exp(-d*x-c)+a)/a^3/d-1/a^2/d/(b*exp(-d*x-c)+a)-1/2/a/d/(b*exp(-d*x-c)+a)^2","A"
25,0,0,151,0.079000," ","int((a+b*(F^(g*(f*x+e)))^n)*(d*x+c)^3,x)","\int \left(b \left(F^{\left(f x +e \right) g}\right)^{n}+a \right) \left(d x +c \right)^{3}\, dx"," ",0,"int((a+b*(F^(g*(f*x+e)))^n)*(d*x+c)^3,x)","F"
26,1,199,113,0.050000," ","int((b*(F^((f*x+e)*g))^n+a)*(d*x+c)^2,x)","\frac{a \,d^{2} x^{3}}{3}+a c d \,x^{2}+a \,c^{2} x +\frac{b \,d^{2} x^{2} {\mathrm e}^{n \ln \left({\mathrm e}^{\left(f x +e \right) g \ln \left(F \right)}\right)}}{f g n \ln \left(F \right)}+\frac{b \,c^{2} {\mathrm e}^{n \ln \left({\mathrm e}^{\left(f x +e \right) g \ln \left(F \right)}\right)}}{f g n \ln \left(F \right)}-\frac{2 b c d \,{\mathrm e}^{n \ln \left({\mathrm e}^{\left(f x +e \right) g \ln \left(F \right)}\right)}}{f^{2} g^{2} n^{2} \ln \left(F \right)^{2}}+\frac{2 \left(c f g n \ln \left(F \right)-d \right) b d x \,{\mathrm e}^{n \ln \left({\mathrm e}^{\left(f x +e \right) g \ln \left(F \right)}\right)}}{f^{2} g^{2} n^{2} \ln \left(F \right)^{2}}+\frac{2 b \,d^{2} {\mathrm e}^{n \ln \left({\mathrm e}^{\left(f x +e \right) g \ln \left(F \right)}\right)}}{f^{3} g^{3} n^{3} \ln \left(F \right)^{3}}"," ",0,"a*c^2*x+a*c*d*x^2+b/ln(F)/f/g/n*exp(n*ln(exp(g*(f*x+e)*ln(F))))*c^2-2*b/ln(F)^2/f^2/g^2/n^2*exp(n*ln(exp(g*(f*x+e)*ln(F))))*c*d+2*b/ln(F)^3/f^3/g^3/n^3*exp(n*ln(exp(g*(f*x+e)*ln(F))))*d^2+1/n/f/g/ln(F)*b*d^2*x^2*exp(n*ln(exp(g*(f*x+e)*ln(F))))+1/3*a*d^2*x^3+2*b*d*(ln(F)*c*f*g*n-d)/ln(F)^2/f^2/g^2/n^2*x*exp(n*ln(exp(g*(f*x+e)*ln(F))))","A"
27,1,105,75,0.038000," ","int((b*(F^((f*x+e)*g))^n+a)*(d*x+c),x)","\frac{a d \,x^{2}}{2}+a c x +\frac{b d x \,{\mathrm e}^{n \ln \left({\mathrm e}^{\left(f x +e \right) g \ln \left(F \right)}\right)}}{f g n \ln \left(F \right)}+\frac{b c \,{\mathrm e}^{n \ln \left({\mathrm e}^{\left(f x +e \right) g \ln \left(F \right)}\right)}}{f g n \ln \left(F \right)}-\frac{b d \,{\mathrm e}^{n \ln \left({\mathrm e}^{\left(f x +e \right) g \ln \left(F \right)}\right)}}{f^{2} g^{2} n^{2} \ln \left(F \right)^{2}}"," ",0,"a*c*x+b/n/f/g/ln(F)*exp(n*ln(exp((f*x+e)*g*ln(F))))*c-b/n^2/f^2/g^2/ln(F)^2*exp(n*ln(exp((f*x+e)*g*ln(F))))*d+1/n/f/g/ln(F)*b*d*x*exp(n*ln(exp((f*x+e)*g*ln(F))))+1/2*a*d*x^2","A"
28,1,31,30,0.004000," ","int(b*(F^((f*x+e)*g))^n+a,x)","a x +\frac{b \left(F^{\left(f x +e \right) g}\right)^{n}}{f g n \ln \left(F \right)}"," ",0,"a*x+b*(F^((f*x+e)*g))^n/f/g/n/ln(F)","A"
29,0,0,68,0.079000," ","int((b*(F^((f*x+e)*g))^n+a)/(d*x+c),x)","\int \frac{b \left(F^{\left(f x +e \right) g}\right)^{n}+a}{d x +c}\, dx"," ",0,"int((b*(F^((f*x+e)*g))^n+a)/(d*x+c),x)","F"
30,0,0,100,0.077000," ","int((b*(F^((f*x+e)*g))^n+a)/(d*x+c)^2,x)","\int \frac{b \left(F^{\left(f x +e \right) g}\right)^{n}+a}{\left(d x +c \right)^{2}}\, dx"," ",0,"int((b*(F^((f*x+e)*g))^n+a)/(d*x+c)^2,x)","F"
31,0,0,139,0.075000," ","int((b*(F^((f*x+e)*g))^n+a)/(d*x+c)^3,x)","\int \frac{b \left(F^{\left(f x +e \right) g}\right)^{n}+a}{\left(d x +c \right)^{3}}\, dx"," ",0,"int((b*(F^((f*x+e)*g))^n+a)/(d*x+c)^3,x)","F"
32,0,0,312,0.095000," ","int((b*(F^((f*x+e)*g))^n+a)^2*(d*x+c)^3,x)","\int \left(b \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)^{2} \left(d x +c \right)^{3}\, dx"," ",0,"int((b*(F^((f*x+e)*g))^n+a)^2*(d*x+c)^3,x)","F"
33,0,0,231,0.083000," ","int((b*(F^((f*x+e)*g))^n+a)^2*(d*x+c)^2,x)","\int \left(b \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)^{2} \left(d x +c \right)^{2}\, dx"," ",0,"int((b*(F^((f*x+e)*g))^n+a)^2*(d*x+c)^2,x)","F"
34,1,220,150,0.056000," ","int((b*(F^((f*x+e)*g))^n+a)^2*(d*x+c),x)","\frac{a^{2} d \,x^{2}}{2}+a^{2} c x +\frac{2 a b d x \,{\mathrm e}^{n \ln \left({\mathrm e}^{\left(f x +e \right) g \ln \left(F \right)}\right)}}{f g n \ln \left(F \right)}+\frac{b^{2} d x \,{\mathrm e}^{2 n \ln \left({\mathrm e}^{\left(f x +e \right) g \ln \left(F \right)}\right)}}{2 f g n \ln \left(F \right)}+\frac{2 a b c \,{\mathrm e}^{n \ln \left({\mathrm e}^{\left(f x +e \right) g \ln \left(F \right)}\right)}}{f g n \ln \left(F \right)}+\frac{b^{2} c \,{\mathrm e}^{2 n \ln \left({\mathrm e}^{\left(f x +e \right) g \ln \left(F \right)}\right)}}{2 f g n \ln \left(F \right)}-\frac{2 a b d \,{\mathrm e}^{n \ln \left({\mathrm e}^{\left(f x +e \right) g \ln \left(F \right)}\right)}}{f^{2} g^{2} n^{2} \ln \left(F \right)^{2}}-\frac{b^{2} d \,{\mathrm e}^{2 n \ln \left({\mathrm e}^{\left(f x +e \right) g \ln \left(F \right)}\right)}}{4 f^{2} g^{2} n^{2} \ln \left(F \right)^{2}}"," ",0,"a^2*c*x+1/2*a^2*d*x^2+1/2*b^2/n/f/g/ln(F)*exp(n*ln(exp((f*x+e)*g*ln(F))))^2*c-1/4*b^2/n^2/f^2/g^2/ln(F)^2*exp(n*ln(exp((f*x+e)*g*ln(F))))^2*d+2*a*b/n/f/g/ln(F)*exp(n*ln(exp((f*x+e)*g*ln(F))))*c-2*a*b/n^2/f^2/g^2/ln(F)^2*exp(n*ln(exp((f*x+e)*g*ln(F))))*d+1/2/n/f/g/ln(F)*b^2*d*x*exp(n*ln(exp((f*x+e)*g*ln(F))))^2+2/n/f/g/ln(F)*a*b*d*x*exp(n*ln(exp((f*x+e)*g*ln(F))))","A"
35,1,90,65,0.022000," ","int((b*(F^((f*x+e)*g))^n+a)^2,x)","\frac{a^{2} \ln \left(\left(F^{\left(f x +e \right) g}\right)^{n}\right)}{f g n \ln \left(F \right)}+\frac{2 a b \left(F^{\left(f x +e \right) g}\right)^{n}}{f g n \ln \left(F \right)}+\frac{b^{2} \left(F^{\left(f x +e \right) g}\right)^{2 n}}{2 f g n \ln \left(F \right)}"," ",0,"1/2/g/f/ln(F)/n*b^2*((F^((f*x+e)*g))^n)^2+2*a*b*(F^((f*x+e)*g))^n/f/g/n/ln(F)+1/g/f/ln(F)/n*a^2*ln((F^((f*x+e)*g))^n)","A"
36,0,0,134,0.088000," ","int((b*(F^((f*x+e)*g))^n+a)^2/(d*x+c),x)","\int \frac{\left(b \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)^{2}}{d x +c}\, dx"," ",0,"int((b*(F^((f*x+e)*g))^n+a)^2/(d*x+c),x)","F"
37,0,0,202,0.077000," ","int((b*(F^((f*x+e)*g))^n+a)^2/(d*x+c)^2,x)","\int \frac{\left(b \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)^{2}}{\left(d x +c \right)^{2}}\, dx"," ",0,"int((b*(F^((f*x+e)*g))^n+a)^2/(d*x+c)^2,x)","F"
38,0,0,282,0.076000," ","int((b*(F^((f*x+e)*g))^n+a)^2/(d*x+c)^3,x)","\int \frac{\left(b \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)^{2}}{\left(d x +c \right)^{3}}\, dx"," ",0,"int((b*(F^((f*x+e)*g))^n+a)^2/(d*x+c)^3,x)","F"
39,0,0,478,0.093000," ","int((b*(F^((f*x+e)*g))^n+a)^3*(d*x+c)^3,x)","\int \left(b \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)^{3} \left(d x +c \right)^{3}\, dx"," ",0,"int((b*(F^((f*x+e)*g))^n+a)^3*(d*x+c)^3,x)","F"
40,0,0,352,0.088000," ","int((b*(F^((f*x+e)*g))^n+a)^3*(d*x+c)^2,x)","\int \left(b \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)^{3} \left(d x +c \right)^{2}\, dx"," ",0,"int((b*(F^((f*x+e)*g))^n+a)^3*(d*x+c)^2,x)","F"
41,0,0,226,0.033000," ","int((b*(F^((f*x+e)*g))^n+a)^3*(d*x+c),x)","\int \left(b \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)^{3} \left(d x +c \right)\, dx"," ",0,"int((b*(F^((f*x+e)*g))^n+a)^3*(d*x+c),x)","F"
42,1,124,99,0.014000," ","int((b*(F^((f*x+e)*g))^n+a)^3,x)","\frac{a^{3} \ln \left(\left(F^{\left(f x +e \right) g}\right)^{n}\right)}{f g n \ln \left(F \right)}+\frac{3 a^{2} b \left(F^{\left(f x +e \right) g}\right)^{n}}{f g n \ln \left(F \right)}+\frac{3 a \,b^{2} \left(F^{\left(f x +e \right) g}\right)^{2 n}}{2 f g n \ln \left(F \right)}+\frac{b^{3} \left(F^{\left(f x +e \right) g}\right)^{3 n}}{3 f g n \ln \left(F \right)}"," ",0,"1/3/g/f/ln(F)/n*b^3*((F^((f*x+e)*g))^n)^3+3/2/g/f/ln(F)/n*a*b^2*((F^((f*x+e)*g))^n)^2+3*a^2*b*(F^((f*x+e)*g))^n/f/g/n/ln(F)+1/g/f/ln(F)/n*a^3*ln((F^((f*x+e)*g))^n)","A"
43,0,0,200,0.080000," ","int((b*(F^((f*x+e)*g))^n+a)^3/(d*x+c),x)","\int \frac{\left(b \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)^{3}}{d x +c}\, dx"," ",0,"int((b*(F^((f*x+e)*g))^n+a)^3/(d*x+c),x)","F"
44,0,0,305,0.077000," ","int((b*(F^((f*x+e)*g))^n+a)^3/(d*x+c)^2,x)","\int \frac{\left(b \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)^{3}}{\left(d x +c \right)^{2}}\, dx"," ",0,"int((b*(F^((f*x+e)*g))^n+a)^3/(d*x+c)^2,x)","F"
45,0,0,431,0.078000," ","int((b*(F^((f*x+e)*g))^n+a)^3/(d*x+c)^3,x)","\int \frac{\left(b \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)^{3}}{\left(d x +c \right)^{3}}\, dx"," ",0,"int((b*(F^((f*x+e)*g))^n+a)^3/(d*x+c)^3,x)","F"
46,1,3075,190,0.091000," ","int((d*x+c)^3/(b*(F^((f*x+e)*g))^n+a),x)","\text{output too large to display}"," ",0,"3*c*d^2/a*x^3+3*c^2*d/a*x^2-3/f/g/ln(F)*d^3/a*ln(F^((f*x+e)*g))*x^3+9/2/f^2/g^2/ln(F)^2*d^3/a*ln(F^((f*x+e)*g))^2*x^2-2/f^3/g^3/ln(F)^3*c*d^2/a*ln(F^((f*x+e)*g))^3+3/2/f^2/g^2/ln(F)^2*c^2*d/a*ln(F^((f*x+e)*g))^2-6/n^4/f^4/g^4/ln(F)^4*d^3/a*polylog(4,-b*F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n/a)+1/f^3/g^3/ln(F)^3*d^3/a*x*(ln(F^((f*x+e)*g))-(f*x+e)*g*ln(F))^3-1/n/f/g/ln(F)*c^3/a*ln(a+b*F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n)+1/n/f/g/ln(F)*c^3/a*ln(F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n)+d^3/a*x^4+3/f*c^2*d/a*x*e-3/f^2*c*d^2/a*x*e^2+3/4/f^4/g^4/ln(F)^4*d^3/a*ln(F^((f*x+e)*g))^4+1/f^3*d^3/a*x*e^3-6/n^2/f^2/g^2/ln(F)^2*c*d^2/a*polylog(2,-b*F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n/a)*x+3/n/f^3/g/ln(F)*c*d^2*e^2/a*ln(1+b*F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n/a)-3/n/f^4/g^2/ln(F)^2*d^3*e^2*(ln(F^((f*x+e)*g))-(f*x+e)*g*ln(F))/a*ln(1+b*F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n/a)-3/n/f^4/g^3/ln(F)^3*d^3*e*(ln(F^((f*x+e)*g))-(f*x+e)*g*ln(F))^2/a*ln(1+b*F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n/a)-6/f^2/g/ln(F)*c*d^2/a*x*e*(ln(F^((f*x+e)*g))-(f*x+e)*g*ln(F))+3/n/f^3/g^3/ln(F)^3*c*d^2*(ln(F^((f*x+e)*g))-(f*x+e)*g*ln(F))^2/a*ln(1+b*F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n/a)-3/n/f/g/ln(F)*c^2*d/a*ln(1+b*F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n/a)*x+3/n/f^4/g^3/ln(F)^3*d^3*e*(ln(F^((f*x+e)*g))-(f*x+e)*g*ln(F))^2/a*ln(a+b*F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n)-3/n/f^4/g^2/ln(F)^2*d^3*e^2*(ln(F^((f*x+e)*g))-(f*x+e)*g*ln(F))/a*ln(F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n)+3/n/f^4/g^2/ln(F)^2*d^3*e^2*(ln(F^((f*x+e)*g))-(f*x+e)*g*ln(F))/a*ln(a+b*F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n)-3/n/f^2/g/ln(F)*c^2*d*e/a*ln(F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n)+3/n/f^2/g/ln(F)*c^2*d*e/a*ln(a+b*F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n)-3/n/f^3/g/ln(F)*c*d^2*e^2/a*ln(a+b*F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n)+3/n/f^2/g^2/ln(F)^2*c^2*d*(ln(F^((f*x+e)*g))-(f*x+e)*g*ln(F))/a*ln(a+b*F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n)-3/n/f/g/ln(F)*c*d^2/a*ln(1+b*F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n/a)*x^2-3/n/f^2/g^2/ln(F)^2*c^2*d*(ln(F^((f*x+e)*g))-(f*x+e)*g*ln(F))/a*ln(F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n)-3/n/f^4/g^3/ln(F)^3*d^3*e*(ln(F^((f*x+e)*g))-(f*x+e)*g*ln(F))^2/a*ln(F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n)+3/n/f^3/g^3/ln(F)^3*c*d^2*(ln(F^((f*x+e)*g))-(f*x+e)*g*ln(F))^2/a*ln(F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n)-3/n/f^3/g^3/ln(F)^3*c*d^2*(ln(F^((f*x+e)*g))-(f*x+e)*g*ln(F))^2/a*ln(a+b*F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n)+3/n/f^3/g/ln(F)*c*d^2*e^2/a*ln(F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n)-3/f^3/g^3/ln(F)^3*d^3/a*ln(F^((f*x+e)*g))^3*x-3/n/f^2/g/ln(F)*c^2*d/a*ln(1+b*F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n/a)*e-3/n/f^2/g^2/ln(F)^2*c^2*d/a*ln(1+b*F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n/a)*(ln(F^((f*x+e)*g))-(f*x+e)*g*ln(F))+3/f^3/g/ln(F)*d^3/a*x*e^2*(ln(F^((f*x+e)*g))-(f*x+e)*g*ln(F))+3/f^3/g^2/ln(F)^2*d^3/a*x*e*(ln(F^((f*x+e)*g))-(f*x+e)*g*ln(F))^2-1/n/f^4/g^4/ln(F)^4*d^3*(ln(F^((f*x+e)*g))-(f*x+e)*g*ln(F))^3/a*ln(F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n)+1/n/f^4/g/ln(F)*d^3*e^3/a*ln(a+b*F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n)-1/n/f^4/g/ln(F)*d^3*e^3/a*ln(F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n)-3/n^2/f^2/g^2/ln(F)^2*c^2*d/a*polylog(2,-b*F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n/a)+6/n^3/f^3/g^3/ln(F)^3*c*d^2/a*polylog(3,-b*F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n/a)+3/f/g/ln(F)*c^2*d/a*x*(ln(F^((f*x+e)*g))-(f*x+e)*g*ln(F))-3/f^2/g^2/ln(F)^2*c*d^2/a*x*(ln(F^((f*x+e)*g))-(f*x+e)*g*ln(F))^2-6/f/g/ln(F)*c*d^2/a*ln(F^((f*x+e)*g))*x^2+6/f^2/g^2/ln(F)^2*c*d^2/a*ln(F^((f*x+e)*g))^2*x-3/f/g/ln(F)*c^2*d/a*ln(F^((f*x+e)*g))*x+6/n^3/f^3/g^3/ln(F)^3*d^3/a*polylog(3,-b*F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n/a)*x-1/n/f/g/ln(F)*d^3/a*ln(1+b*F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n/a)*x^3-1/n/f^4/g/ln(F)*d^3/a*ln(1+b*F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n/a)*e^3-1/n/f^4/g^4/ln(F)^4*d^3/a*ln(1+b*F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n/a)*(ln(F^((f*x+e)*g))-(f*x+e)*g*ln(F))^3-3/n^2/f^2/g^2/ln(F)^2*d^3/a*polylog(2,-b*F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n/a)*x^2+1/n/f^4/g^4/ln(F)^4*d^3*(ln(F^((f*x+e)*g))-(f*x+e)*g*ln(F))^3/a*ln(a+b*F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n)-6/n/f^3/g^2/ln(F)^2*c*d^2*e*(ln(F^((f*x+e)*g))-(f*x+e)*g*ln(F))/a*ln(a+b*F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n)+6/n/f^3/g^2/ln(F)^2*c*d^2*e/a*ln(1+b*F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n/a)*(ln(F^((f*x+e)*g))-(f*x+e)*g*ln(F))+6/n/f^3/g^2/ln(F)^2*c*d^2*e*(ln(F^((f*x+e)*g))-(f*x+e)*g*ln(F))/a*ln(F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n)","B"
47,1,1677,143,0.114000," ","int((d*x+c)^2/(b*(F^((f*x+e)*g))^n+a),x)","\frac{d^{2} x^{3}}{a}+\frac{2 c d \,x^{2}}{a}+\frac{2 c d e x}{a f}-\frac{d^{2} e^{2} x}{a \,f^{2}}-\frac{2 d^{2} x^{2} \ln \left(F^{\left(f x +e \right) g}\right)}{a f g \ln \left(F \right)}-\frac{2 c d x \ln \left(F^{\left(f x +e \right) g}\right)}{a f g \ln \left(F \right)}-\frac{d^{2} x^{2} \ln \left(\frac{b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}}{a}+1\right)}{a f g n \ln \left(F \right)}-\frac{2 c d x \ln \left(\frac{b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}}{a}+1\right)}{a f g n \ln \left(F \right)}+\frac{2 \left(-\left(f x +e \right) g \ln \left(F \right)+\ln \left(F^{\left(f x +e \right) g}\right)\right) c d x}{a f g \ln \left(F \right)}-\frac{2 \left(-\left(f x +e \right) g \ln \left(F \right)+\ln \left(F^{\left(f x +e \right) g}\right)\right) d^{2} e x}{a \,f^{2} g \ln \left(F \right)}+\frac{c^{2} \ln \left(F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}\right)}{a f g n \ln \left(F \right)}-\frac{c^{2} \ln \left(b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)}{a f g n \ln \left(F \right)}-\frac{2 c d e \ln \left(F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}\right)}{a \,f^{2} g n \ln \left(F \right)}-\frac{2 c d e \ln \left(\frac{b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}}{a}+1\right)}{a \,f^{2} g n \ln \left(F \right)}+\frac{2 c d e \ln \left(b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)}{a \,f^{2} g n \ln \left(F \right)}+\frac{d^{2} e^{2} \ln \left(F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}\right)}{a \,f^{3} g n \ln \left(F \right)}+\frac{d^{2} e^{2} \ln \left(\frac{b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}}{a}+1\right)}{a \,f^{3} g n \ln \left(F \right)}-\frac{d^{2} e^{2} \ln \left(b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)}{a \,f^{3} g n \ln \left(F \right)}+\frac{2 d^{2} x \ln \left(F^{\left(f x +e \right) g}\right)^{2}}{a \,f^{2} g^{2} \ln \left(F \right)^{2}}+\frac{c d \ln \left(F^{\left(f x +e \right) g}\right)^{2}}{a \,f^{2} g^{2} \ln \left(F \right)^{2}}-\frac{\left(-\left(f x +e \right) g \ln \left(F \right)+\ln \left(F^{\left(f x +e \right) g}\right)\right)^{2} d^{2} x}{a \,f^{2} g^{2} \ln \left(F \right)^{2}}-\frac{2 \left(-\left(f x +e \right) g \ln \left(F \right)+\ln \left(F^{\left(f x +e \right) g}\right)\right) c d \ln \left(F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}\right)}{a \,f^{2} g^{2} n \ln \left(F \right)^{2}}-\frac{2 \left(-\left(f x +e \right) g \ln \left(F \right)+\ln \left(F^{\left(f x +e \right) g}\right)\right) c d \ln \left(\frac{b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}}{a}+1\right)}{a \,f^{2} g^{2} n \ln \left(F \right)^{2}}+\frac{2 \left(-\left(f x +e \right) g \ln \left(F \right)+\ln \left(F^{\left(f x +e \right) g}\right)\right) c d \ln \left(b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)}{a \,f^{2} g^{2} n \ln \left(F \right)^{2}}+\frac{2 \left(-\left(f x +e \right) g \ln \left(F \right)+\ln \left(F^{\left(f x +e \right) g}\right)\right) d^{2} e \ln \left(F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}\right)}{a \,f^{3} g^{2} n \ln \left(F \right)^{2}}+\frac{2 \left(-\left(f x +e \right) g \ln \left(F \right)+\ln \left(F^{\left(f x +e \right) g}\right)\right) d^{2} e \ln \left(\frac{b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}}{a}+1\right)}{a \,f^{3} g^{2} n \ln \left(F \right)^{2}}-\frac{2 \left(-\left(f x +e \right) g \ln \left(F \right)+\ln \left(F^{\left(f x +e \right) g}\right)\right) d^{2} e \ln \left(b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)}{a \,f^{3} g^{2} n \ln \left(F \right)^{2}}-\frac{2 d^{2} x \polylog \left(2, -\frac{b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}}{a}\right)}{a \,f^{2} g^{2} n^{2} \ln \left(F \right)^{2}}-\frac{2 d^{2} \ln \left(F^{\left(f x +e \right) g}\right)^{3}}{3 a \,f^{3} g^{3} \ln \left(F \right)^{3}}-\frac{2 c d \polylog \left(2, -\frac{b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}}{a}\right)}{a \,f^{2} g^{2} n^{2} \ln \left(F \right)^{2}}+\frac{\left(-\left(f x +e \right) g \ln \left(F \right)+\ln \left(F^{\left(f x +e \right) g}\right)\right)^{2} d^{2} \ln \left(F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}\right)}{a \,f^{3} g^{3} n \ln \left(F \right)^{3}}+\frac{\left(-\left(f x +e \right) g \ln \left(F \right)+\ln \left(F^{\left(f x +e \right) g}\right)\right)^{2} d^{2} \ln \left(\frac{b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}}{a}+1\right)}{a \,f^{3} g^{3} n \ln \left(F \right)^{3}}-\frac{\left(-\left(f x +e \right) g \ln \left(F \right)+\ln \left(F^{\left(f x +e \right) g}\right)\right)^{2} d^{2} \ln \left(b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)}{a \,f^{3} g^{3} n \ln \left(F \right)^{3}}+\frac{2 d^{2} \polylog \left(3, -\frac{b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}}{a}\right)}{a \,f^{3} g^{3} n^{3} \ln \left(F \right)^{3}}"," ",0,"-1/f^2*d^2/a*x*e^2-2/3/ln(F)^3/f^3/g^3*d^2/a*ln(F^((f*x+e)*g))^3-1/ln(F)^2/f^2/g^2*d^2/a*x*(ln(F^((f*x+e)*g))-(f*x+e)*g*ln(F))^2+1/ln(F)/f/g/n*c^2/a*ln(F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n)-1/ln(F)/f/g/n*c^2/a*ln(a+b*F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n)+2/ln(F)^3/f^3/g^3/n^3*d^2/a*polylog(3,-b*F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n/a)-2/ln(F)^2/f^2/g^2/n*c*d/a*ln(1+b*F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n/a)*(ln(F^((f*x+e)*g))-(f*x+e)*g*ln(F))+2/ln(F)^2/f^3/g^2/n*d^2*e/a*ln(1+b*F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n/a)*(ln(F^((f*x+e)*g))-(f*x+e)*g*ln(F))-2/ln(F)/f/g/n*c*d/a*ln(1+b*F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n/a)*x-2/ln(F)^2/f^3/g^2/n*d^2*e*(ln(F^((f*x+e)*g))-(f*x+e)*g*ln(F))/a*ln(a+b*F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n)+2/ln(F)^2/f^2/g^2/n*c*d*(ln(F^((f*x+e)*g))-(f*x+e)*g*ln(F))/a*ln(a+b*F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n)+2/ln(F)^2/f^3/g^2/n*d^2*e*(ln(F^((f*x+e)*g))-(f*x+e)*g*ln(F))/a*ln(F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n)-2/ln(F)/f^2/g/n*c*d*e/a*ln(F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n)+2/ln(F)/f^2/g/n*c*d*e/a*ln(a+b*F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n)-2/ln(F)/f^2/g/n*c*d/a*ln(1+b*F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n/a)*e+d^2/a*x^3-2/ln(F)^2/f^2/g^2/n*c*d*(ln(F^((f*x+e)*g))-(f*x+e)*g*ln(F))/a*ln(F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n)+2*c*d/a*x^2+2/f*c*d/a*x*e+1/ln(F)^2/f^2/g^2*c*d/a*ln(F^((f*x+e)*g))^2-2/ln(F)/f/g*d^2/a*ln(F^((f*x+e)*g))*x^2+2/ln(F)^2/f^2/g^2*d^2/a*ln(F^((f*x+e)*g))^2*x-2/ln(F)/f/g*c*d/a*ln(F^((f*x+e)*g))*x-1/ln(F)/f/g/n*d^2/a*ln(1+b*F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n/a)*x^2-2/ln(F)^2/f^2/g^2/n^2*d^2/a*polylog(2,-b*F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n/a)*x-1/ln(F)/f^3/g/n*d^2*e^2/a*ln(a+b*F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n)+1/ln(F)/f^3/g/n*d^2*e^2/a*ln(F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n)-2/ln(F)/f^2/g*d^2/a*x*e*(ln(F^((f*x+e)*g))-(f*x+e)*g*ln(F))+2/ln(F)/f/g*c*d/a*x*(ln(F^((f*x+e)*g))-(f*x+e)*g*ln(F))-1/ln(F)^3/f^3/g^3/n*d^2*(ln(F^((f*x+e)*g))-(f*x+e)*g*ln(F))^2/a*ln(a+b*F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n)-2/ln(F)^2/f^2/g^2/n^2*c*d/a*polylog(2,-b*F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n/a)+1/ln(F)/f^3/g/n*d^2*e^2/a*ln(1+b*F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n/a)+1/ln(F)^3/f^3/g^3/n*d^2*(ln(F^((f*x+e)*g))-(f*x+e)*g*ln(F))^2/a*ln(1+b*F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n/a)+1/ln(F)^3/f^3/g^3/n*d^2*(ln(F^((f*x+e)*g))-(f*x+e)*g*ln(F))^2/a*ln(F^(n*f*g*x)*F^(-n*f*g*x)*(F^((f*x+e)*g))^n)","B"
48,1,679,96,0.092000," ","int((d*x+c)/(b*(F^((f*x+e)*g))^n+a),x)","\frac{d \,x^{2}}{a}+\frac{d e x}{a f}-\frac{d x \ln \left(F^{\left(f x +e \right) g}\right)}{a f g \ln \left(F \right)}-\frac{d x \ln \left(\frac{b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}}{a}+1\right)}{a f g n \ln \left(F \right)}+\frac{\left(-\left(f x +e \right) g \ln \left(F \right)+\ln \left(F^{\left(f x +e \right) g}\right)\right) d x}{a f g \ln \left(F \right)}+\frac{c \ln \left(F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}\right)}{a f g n \ln \left(F \right)}-\frac{c \ln \left(b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)}{a f g n \ln \left(F \right)}-\frac{d e \ln \left(F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}\right)}{a \,f^{2} g n \ln \left(F \right)}-\frac{d e \ln \left(\frac{b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}}{a}+1\right)}{a \,f^{2} g n \ln \left(F \right)}+\frac{d e \ln \left(b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)}{a \,f^{2} g n \ln \left(F \right)}+\frac{d \ln \left(F^{\left(f x +e \right) g}\right)^{2}}{2 a \,f^{2} g^{2} \ln \left(F \right)^{2}}-\frac{\left(-\left(f x +e \right) g \ln \left(F \right)+\ln \left(F^{\left(f x +e \right) g}\right)\right) d \ln \left(F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}\right)}{a \,f^{2} g^{2} n \ln \left(F \right)^{2}}-\frac{\left(-\left(f x +e \right) g \ln \left(F \right)+\ln \left(F^{\left(f x +e \right) g}\right)\right) d \ln \left(\frac{b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}}{a}+1\right)}{a \,f^{2} g^{2} n \ln \left(F \right)^{2}}+\frac{\left(-\left(f x +e \right) g \ln \left(F \right)+\ln \left(F^{\left(f x +e \right) g}\right)\right) d \ln \left(b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)}{a \,f^{2} g^{2} n \ln \left(F \right)^{2}}-\frac{d \polylog \left(2, -\frac{b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}}{a}\right)}{a \,f^{2} g^{2} n^{2} \ln \left(F \right)^{2}}"," ",0,"1/ln(F)/f/g/n*c/a*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)-1/ln(F)/f/g/n*c/a*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)+d/a*x^2+1/f*d/a*x*e+1/ln(F)/f/g*d/a*x*(-(f*x+e)*g*ln(F)+ln(F^((f*x+e)*g)))-1/ln(F)/f/g*d/a*ln(F^((f*x+e)*g))*x+1/2/ln(F)^2/f^2/g^2*d/a*ln(F^((f*x+e)*g))^2-1/ln(F)/f/g/n*d/a*ln(1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+1)*x-1/ln(F)/f^2/g/n*d/a*ln(1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+1)*e-1/ln(F)^2/f^2/g^2/n*d/a*ln(1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+1)*(-(f*x+e)*g*ln(F)+ln(F^((f*x+e)*g)))-1/ln(F)^2/f^2/g^2/n^2*d/a*polylog(2,-1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)-1/ln(F)/f^2/g/n*d*e/a*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)+1/ln(F)/f^2/g/n*d*e/a*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)-1/ln(F)^2/f^2/g^2/n*d*(-(f*x+e)*g*ln(F)+ln(F^((f*x+e)*g)))/a*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)+1/ln(F)^2/f^2/g^2/n*d*(-(f*x+e)*g*ln(F)+ln(F^((f*x+e)*g)))/a*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)","B"
49,1,65,40,0.020000," ","int(1/(b*(F^((f*x+e)*g))^n+a),x)","\frac{\ln \left(\left(F^{\left(f x +e \right) g}\right)^{n}\right)}{a f g n \ln \left(F \right)}-\frac{\ln \left(b \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)}{a f g n \ln \left(F \right)}"," ",0,"1/g/f/ln(F)/n/a*ln((F^((f*x+e)*g))^n)-ln(b*(F^((f*x+e)*g))^n+a)/a/f/g/n/ln(F)","A"
50,0,0,28,0.132000," ","int(1/(b*(F^((f*x+e)*g))^n+a)/(d*x+c),x)","\int \frac{1}{\left(b \left(F^{\left(f x +e \right) g}\right)^{n}+a \right) \left(d x +c \right)}\, dx"," ",0,"int(1/(b*(F^((f*x+e)*g))^n+a)/(d*x+c),x)","F"
51,0,0,28,0.155000," ","int(1/(b*(F^((f*x+e)*g))^n+a)/(d*x+c)^2,x)","\int \frac{1}{\left(b \left(F^{\left(f x +e \right) g}\right)^{n}+a \right) \left(d x +c \right)^{2}}\, dx"," ",0,"int(1/(b*(F^((f*x+e)*g))^n+a)/(d*x+c)^2,x)","F"
52,1,3319,386,0.085000," ","int((d*x+c)^3/(b*(F^((f*x+e)*g))^n+a)^2,x)","\text{output too large to display}"," ",0,"1/n/f/g/ln(F)/a*(d^3*x^3+3*c*d^2*x^2+3*c^2*d*x+c^3)/(b*(F^((f*x+e)*g))^n+a)+3/4/f^4/g^4/ln(F)^4/a^2*d^3*ln(F^((f*x+e)*g))^4-6/n/f^2/g^2/ln(F)^2/a^2*c*d^2*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*ln(F^((f*x+e)*g))*x+6/n/f^2/g^2/ln(F)^2/a^2*c*d^2*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)*ln(F^((f*x+e)*g))*x-6/n/f^2/g^2/ln(F)^2/a^2*c*d^2*ln(1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+1)*ln(F^((f*x+e)*g))*x+3/n^2/f^2/g^2/ln(F)^2/a^2*d^3*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)*x^2+3/n^2/f^4/g^4/ln(F)^4/a^2*d^3*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)*ln(F^((f*x+e)*g))^2+6/n^3/f^3/g^3/ln(F)^3/a^2*d^3*polylog(2,-1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*x-3/n^2/f^2/g^2/ln(F)^2/a^2*c^2*d*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)+6/n^3/f^3/g^3/ln(F)^3/a^2*c*d^2*polylog(3,-1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)+6/n^3/f^3/g^3/ln(F)^3/a^2*c*d^2*polylog(2,-1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)-3/n^2/f^2/g^2/ln(F)^2/a^2*c^2*d*polylog(2,-1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)-3/n^2/f^2/g^2/ln(F)^2/a^2*d^3*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*x^2-3/n^2/f^4/g^4/ln(F)^4/a^2*d^3*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*ln(F^((f*x+e)*g))^2-3/n^2/f^4/g^4/ln(F)^4/a^2*d^3*ln(1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+1)*ln(F^((f*x+e)*g))^2+1/n/f/g/ln(F)/a^2*d^3*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*x^3-1/n/f^4/g^4/ln(F)^4/a^2*d^3*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*ln(F^((f*x+e)*g))^3+6/n^3/f^3/g^3/ln(F)^3/a^2*d^3*polylog(3,-1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*x+3/n^2/f^2/g^2/ln(F)^2/a^2*c^2*d*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)-3/n^2/f^2/g^2/ln(F)^2/a^2*d^3*polylog(2,-1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*x^2-3/n/f^3/g^3/ln(F)^3/a^2*c*d^2*ln(F^((f*x+e)*g))^2-3/n/f^3/g^3/ln(F)^3/a^2*d^3*ln(F^((f*x+e)*g))^2*x-1/n/f/g/ln(F)/a^2*d^3*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)*x^3+1/n/f^4/g^4/ln(F)^4/a^2*d^3*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)*ln(F^((f*x+e)*g))^3-1/n/f^4/g^4/ln(F)^4/a^2*d^3*ln(1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+1)*ln(F^((f*x+e)*g))^3+3/f^2/g^2/ln(F)^2/a^2*c*d^2*ln(F^((f*x+e)*g))^2*x+3/2/f^2/g^2/ln(F)^2/a^2*c^2*d*ln(F^((f*x+e)*g))^2+3/2/f^2/g^2/ln(F)^2/a^2*d^3*ln(F^((f*x+e)*g))^2*x^2-2/f^3/g^3/ln(F)^3/a^2*d^3*ln(F^((f*x+e)*g))^3*x-2/f^3/g^3/ln(F)^3/a^2*c*d^2*ln(F^((f*x+e)*g))^3+2/n/f^4/g^4/ln(F)^4/a^2*d^3*ln(F^((f*x+e)*g))^3-1/n/f/g/ln(F)/a^2*c^3*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)+1/n/f/g/ln(F)/a^2*c^3*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)-6/n^4/f^4/g^4/ln(F)^4/a^2*d^3*polylog(4,-1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)-6/n^4/f^4/g^4/ln(F)^4/a^2*d^3*polylog(3,-1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)+3/n/f^3/g^3/ln(F)^3/a^2*d^3*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*ln(F^((f*x+e)*g))^2*x+6/n^2/f^2/g^2/ln(F)^2/a^2*c*d^2*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)*x-6/n^2/f^3/g^3/ln(F)^3/a^2*c*d^2*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)*ln(F^((f*x+e)*g))-6/n^2/f^2/g^2/ln(F)^2/a^2*c*d^2*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*x+6/n^2/f^3/g^3/ln(F)^3/a^2*c*d^2*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*ln(F^((f*x+e)*g))+6/n^2/f^3/g^3/ln(F)^3/a^2*d^3*ln(1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+1)*ln(F^((f*x+e)*g))*x-6/n^2/f^3/g^3/ln(F)^3/a^2*d^3*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)*ln(F^((f*x+e)*g))*x+6/n^2/f^3/g^3/ln(F)^3/a^2*d^3*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*ln(F^((f*x+e)*g))*x-6/n^2/f^2/g^2/ln(F)^2/a^2*c*d^2*polylog(2,-1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*x+3/n/f/g/ln(F)/a^2*c*d^2*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*x^2+3/n/f^3/g^3/ln(F)^3/a^2*c*d^2*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*ln(F^((f*x+e)*g))^2-3/n/f/g/ln(F)/a^2*c*d^2*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)*x^2-3/n/f^3/g^3/ln(F)^3/a^2*c*d^2*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)*ln(F^((f*x+e)*g))^2+3/n/f^3/g^3/ln(F)^3/a^2*c*d^2*ln(1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+1)*ln(F^((f*x+e)*g))^2-3/n/f/g/ln(F)/a^2*c^2*d*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)*x+6/n^2/f^3/g^3/ln(F)^3/a^2*c*d^2*ln(1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+1)*ln(F^((f*x+e)*g))+3/n/f^2/g^2/ln(F)^2/a^2*c^2*d*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)*ln(F^((f*x+e)*g))-3/n/f^2/g^2/ln(F)^2/a^2*c^2*d*ln(1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+1)*ln(F^((f*x+e)*g))+3/n/f/g/ln(F)/a^2*c^2*d*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*x-3/n/f^2/g^2/ln(F)^2/a^2*c^2*d*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*ln(F^((f*x+e)*g))+3/n/f^2/g^2/ln(F)^2/a^2*d^3*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)*ln(F^((f*x+e)*g))*x^2-3/n/f^3/g^3/ln(F)^3/a^2*d^3*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)*ln(F^((f*x+e)*g))^2*x-3/n/f^2/g^2/ln(F)^2/a^2*d^3*ln(1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+1)*ln(F^((f*x+e)*g))*x^2+3/n/f^3/g^3/ln(F)^3/a^2*d^3*ln(1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+1)*ln(F^((f*x+e)*g))^2*x-3/n/f^2/g^2/ln(F)^2/a^2*d^3*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*ln(F^((f*x+e)*g))*x^2","B"
53,1,1650,292,0.077000," ","int((d*x+c)^2/(b*(F^((f*x+e)*g))^n+a)^2,x)","\frac{d^{2} x^{2} \ln \left(F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}\right)}{a^{2} f g n \ln \left(F \right)}-\frac{d^{2} x^{2} \ln \left(b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)}{a^{2} f g n \ln \left(F \right)}+\frac{2 c d x \ln \left(F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}\right)}{a^{2} f g n \ln \left(F \right)}-\frac{2 c d x \ln \left(b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)}{a^{2} f g n \ln \left(F \right)}+\frac{c^{2} \ln \left(F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}\right)}{a^{2} f g n \ln \left(F \right)}-\frac{c^{2} \ln \left(b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)}{a^{2} f g n \ln \left(F \right)}+\frac{d^{2} x \ln \left(F^{\left(f x +e \right) g}\right)^{2}}{a^{2} f^{2} g^{2} \ln \left(F \right)^{2}}+\frac{c d \ln \left(F^{\left(f x +e \right) g}\right)^{2}}{a^{2} f^{2} g^{2} \ln \left(F \right)^{2}}-\frac{2 d^{2} x \ln \left(F^{\left(f x +e \right) g}\right) \ln \left(F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}\right)}{a^{2} f^{2} g^{2} n \ln \left(F \right)^{2}}-\frac{2 d^{2} x \ln \left(F^{\left(f x +e \right) g}\right) \ln \left(\frac{b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}}{a}+1\right)}{a^{2} f^{2} g^{2} n \ln \left(F \right)^{2}}+\frac{2 d^{2} x \ln \left(F^{\left(f x +e \right) g}\right) \ln \left(b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)}{a^{2} f^{2} g^{2} n \ln \left(F \right)^{2}}+\frac{d^{2} x^{2}+2 c d x +c^{2}}{\left(b \left(F^{\left(f x +e \right) g}\right)^{n}+a \right) a f g n \ln \left(F \right)}-\frac{2 c d \ln \left(F^{\left(f x +e \right) g}\right) \ln \left(F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}\right)}{a^{2} f^{2} g^{2} n \ln \left(F \right)^{2}}-\frac{2 c d \ln \left(F^{\left(f x +e \right) g}\right) \ln \left(\frac{b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}}{a}+1\right)}{a^{2} f^{2} g^{2} n \ln \left(F \right)^{2}}+\frac{2 c d \ln \left(F^{\left(f x +e \right) g}\right) \ln \left(b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)}{a^{2} f^{2} g^{2} n \ln \left(F \right)^{2}}-\frac{2 d^{2} x \polylog \left(2, -\frac{b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}}{a}\right)}{a^{2} f^{2} g^{2} n^{2} \ln \left(F \right)^{2}}-\frac{2 d^{2} x \ln \left(F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}\right)}{a^{2} f^{2} g^{2} n^{2} \ln \left(F \right)^{2}}+\frac{2 d^{2} x \ln \left(b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)}{a^{2} f^{2} g^{2} n^{2} \ln \left(F \right)^{2}}-\frac{2 d^{2} \ln \left(F^{\left(f x +e \right) g}\right)^{3}}{3 a^{2} f^{3} g^{3} \ln \left(F \right)^{3}}-\frac{2 c d \polylog \left(2, -\frac{b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}}{a}\right)}{a^{2} f^{2} g^{2} n^{2} \ln \left(F \right)^{2}}-\frac{2 c d \ln \left(F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}\right)}{a^{2} f^{2} g^{2} n^{2} \ln \left(F \right)^{2}}+\frac{2 c d \ln \left(b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)}{a^{2} f^{2} g^{2} n^{2} \ln \left(F \right)^{2}}+\frac{d^{2} \ln \left(F^{\left(f x +e \right) g}\right)^{2} \ln \left(F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}\right)}{a^{2} f^{3} g^{3} n \ln \left(F \right)^{3}}+\frac{d^{2} \ln \left(F^{\left(f x +e \right) g}\right)^{2} \ln \left(\frac{b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}}{a}+1\right)}{a^{2} f^{3} g^{3} n \ln \left(F \right)^{3}}-\frac{d^{2} \ln \left(F^{\left(f x +e \right) g}\right)^{2} \ln \left(b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)}{a^{2} f^{3} g^{3} n \ln \left(F \right)^{3}}-\frac{d^{2} \ln \left(F^{\left(f x +e \right) g}\right)^{2}}{a^{2} f^{3} g^{3} n \ln \left(F \right)^{3}}+\frac{2 d^{2} \ln \left(F^{\left(f x +e \right) g}\right) \ln \left(F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}\right)}{a^{2} f^{3} g^{3} n^{2} \ln \left(F \right)^{3}}+\frac{2 d^{2} \ln \left(F^{\left(f x +e \right) g}\right) \ln \left(\frac{b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}}{a}+1\right)}{a^{2} f^{3} g^{3} n^{2} \ln \left(F \right)^{3}}-\frac{2 d^{2} \ln \left(F^{\left(f x +e \right) g}\right) \ln \left(b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)}{a^{2} f^{3} g^{3} n^{2} \ln \left(F \right)^{3}}+\frac{2 d^{2} \polylog \left(2, -\frac{b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}}{a}\right)}{a^{2} f^{3} g^{3} n^{3} \ln \left(F \right)^{3}}+\frac{2 d^{2} \polylog \left(3, -\frac{b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}}{a}\right)}{a^{2} f^{3} g^{3} n^{3} \ln \left(F \right)^{3}}"," ",0,"1/n/f/g/ln(F)/a*(d^2*x^2+2*c*d*x+c^2)/(b*(F^((f*x+e)*g))^n+a)-2/3/f^3/g^3/ln(F)^3/a^2*d^2*ln(F^((f*x+e)*g))^3+2/n/f^2/g^2/ln(F)^2/a^2*c*d*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)*ln(F^((f*x+e)*g))-2/n/f^2/g^2/ln(F)^2/a^2*c*d*ln(1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+1)*ln(F^((f*x+e)*g))+2/n/f/g/ln(F)/a^2*c*d*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*x-2/n/f^2/g^2/ln(F)^2/a^2*c*d*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*ln(F^((f*x+e)*g))-2/n/f^2/g^2/ln(F)^2/a^2*d^2*ln(1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+1)*ln(F^((f*x+e)*g))*x-2/n/f^2/g^2/ln(F)^2/a^2*d^2*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*ln(F^((f*x+e)*g))*x+2/n/f^2/g^2/ln(F)^2/a^2*d^2*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)*ln(F^((f*x+e)*g))*x-2/n/f/g/ln(F)/a^2*c*d*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)*x-2/n^2/f^2/g^2/ln(F)^2/a^2*c*d*polylog(2,-1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)+2/n^2/f^2/g^2/ln(F)^2/a^2*c*d*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)-2/n^2/f^2/g^2/ln(F)^2/a^2*d^2*polylog(2,-1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*x+1/n/f^3/g^3/ln(F)^3/a^2*d^2*ln(1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+1)*ln(F^((f*x+e)*g))^2+1/n/f/g/ln(F)/a^2*d^2*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*x^2+1/n/f^3/g^3/ln(F)^3/a^2*d^2*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*ln(F^((f*x+e)*g))^2-1/n/f/g/ln(F)/a^2*d^2*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)*x^2-1/n/f^3/g^3/ln(F)^3/a^2*d^2*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)*ln(F^((f*x+e)*g))^2+2/n^2/f^3/g^3/ln(F)^3/a^2*d^2*ln(1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+1)*ln(F^((f*x+e)*g))-2/n^2/f^2/g^2/ln(F)^2/a^2*d^2*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*x+2/n^2/f^3/g^3/ln(F)^3/a^2*d^2*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*ln(F^((f*x+e)*g))-2/n^2/f^3/g^3/ln(F)^3/a^2*d^2*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)*ln(F^((f*x+e)*g))+2/n^2/f^2/g^2/ln(F)^2/a^2*d^2*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)*x-2/n^2/f^2/g^2/ln(F)^2/a^2*c*d*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)-1/n/f/g/ln(F)/a^2*c^2*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)+1/n/f/g/ln(F)/a^2*c^2*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)-1/n/f^3/g^3/ln(F)^3/a^2*d^2*ln(F^((f*x+e)*g))^2+2/n^3/f^3/g^3/ln(F)^3/a^2*d^2*polylog(3,-1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)+2/n^3/f^3/g^3/ln(F)^3/a^2*d^2*polylog(2,-1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)+1/f^2/g^2/ln(F)^2/a^2*d^2*ln(F^((f*x+e)*g))^2*x+1/f^2/g^2/ln(F)^2/a^2*c*d*ln(F^((f*x+e)*g))^2","B"
54,1,591,189,0.112000," ","int((d*x+c)/(b*(F^((f*x+e)*g))^n+a)^2,x)","\frac{d x \ln \left(F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}\right)}{a^{2} f g n \ln \left(F \right)}-\frac{d x \ln \left(b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)}{a^{2} f g n \ln \left(F \right)}+\frac{c \ln \left(F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}\right)}{a^{2} f g n \ln \left(F \right)}-\frac{c \ln \left(b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)}{a^{2} f g n \ln \left(F \right)}+\frac{d x +c}{\left(b \left(F^{\left(f x +e \right) g}\right)^{n}+a \right) a f g n \ln \left(F \right)}+\frac{d \ln \left(F^{\left(f x +e \right) g}\right)^{2}}{2 a^{2} f^{2} g^{2} \ln \left(F \right)^{2}}-\frac{d \ln \left(F^{\left(f x +e \right) g}\right) \ln \left(F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}\right)}{a^{2} f^{2} g^{2} n \ln \left(F \right)^{2}}-\frac{d \ln \left(F^{\left(f x +e \right) g}\right) \ln \left(\frac{b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}}{a}+1\right)}{a^{2} f^{2} g^{2} n \ln \left(F \right)^{2}}+\frac{d \ln \left(F^{\left(f x +e \right) g}\right) \ln \left(b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)}{a^{2} f^{2} g^{2} n \ln \left(F \right)^{2}}-\frac{d \polylog \left(2, -\frac{b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}}{a}\right)}{a^{2} f^{2} g^{2} n^{2} \ln \left(F \right)^{2}}-\frac{d \ln \left(F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}\right)}{a^{2} f^{2} g^{2} n^{2} \ln \left(F \right)^{2}}+\frac{d \ln \left(b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)}{a^{2} f^{2} g^{2} n^{2} \ln \left(F \right)^{2}}"," ",0,"(d*x+c)/a/f/(b*(F^((f*x+e)*g))^n+a)/g/n/ln(F)+1/ln(F)/a^2/f/g/n*c*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)-1/ln(F)/a^2/f/g/n*c*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)-1/ln(F)^2/a^2/f^2/g^2/n^2*d*polylog(2,-1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)-1/ln(F)^2/a^2/f^2/g^2/n^2*d*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)+1/ln(F)^2/a^2/f^2/g^2/n^2*d*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)-1/ln(F)^2/a^2/f^2/g^2/n*d*ln(1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+1)*ln(F^((f*x+e)*g))+1/ln(F)/a^2/f/g/n*d*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*x-1/ln(F)^2/a^2/f^2/g^2/n*d*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*ln(F^((f*x+e)*g))-1/ln(F)/a^2/f/g/n*d*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)*x+1/2/ln(F)^2/a^2/f^2/g^2*d*ln(F^((f*x+e)*g))^2+1/ln(F)^2/a^2/f^2/g^2/n*d*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)*ln(F^((f*x+e)*g))","B"
55,1,99,74,0.022000," ","int(1/(b*(F^((f*x+e)*g))^n+a)^2,x)","\frac{1}{\left(b \left(F^{\left(f x +e \right) g}\right)^{n}+a \right) a f g n \ln \left(F \right)}+\frac{\ln \left(\left(F^{\left(f x +e \right) g}\right)^{n}\right)}{a^{2} f g n \ln \left(F \right)}-\frac{\ln \left(b \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)}{a^{2} f g n \ln \left(F \right)}"," ",0,"1/g/f/ln(F)/n/a^2*ln((F^((f*x+e)*g))^n)-ln(b*(F^((f*x+e)*g))^n+a)/a^2/f/g/n/ln(F)+1/a/f/(b*(F^((f*x+e)*g))^n+a)/g/n/ln(F)","A"
56,0,0,28,0.589000," ","int(1/(b*(F^((f*x+e)*g))^n+a)^2/(d*x+c),x)","\int \frac{1}{\left(b \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)^{2} \left(d x +c \right)}\, dx"," ",0,"int(1/(b*(F^((f*x+e)*g))^n+a)^2/(d*x+c),x)","F"
57,0,0,28,0.446000," ","int(1/(b*(F^((f*x+e)*g))^n+a)^2/(d*x+c)^2,x)","\int \frac{1}{\left(b \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)^{2} \left(d x +c \right)^{2}}\, dx"," ",0,"int(1/(b*(F^((f*x+e)*g))^n+a)^2/(d*x+c)^2,x)","F"
58,1,4005,582,0.095000," ","int((d*x+c)^3/(b*(F^((f*x+e)*g))^n+a)^3,x)","\text{output too large to display}"," ",0,"3/4/f^4/g^4/ln(F)^4/a^3*d^3*ln(F^((f*x+e)*g))^4+3/2/f^2/g^2/ln(F)^2/a^3*d^3*ln(F^((f*x+e)*g))^2*x^2-2/f^3/g^3/ln(F)^3/a^3*d^3*ln(F^((f*x+e)*g))^3*x+3/2/f^2/g^2/ln(F)^2/a^3*d*c^2*ln(F^((f*x+e)*g))^2-2/f^3/g^3/ln(F)^3/a^3*c*d^2*ln(F^((f*x+e)*g))^3+3/2/n^2/f^4/g^4/ln(F)^4/a^3*d^3*ln(F^((f*x+e)*g))^2+3/n/f^4/g^4/ln(F)^4/a^3*d^3*ln(F^((f*x+e)*g))^3-9/n^4/f^4/g^4/ln(F)^4/a^3*d^3*polylog(3,-1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)-6/n^4/f^4/g^4/ln(F)^4/a^3*d^3*polylog(4,-1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)+1/n/f/g/ln(F)/a^3*c^3*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)-1/n/f/g/ln(F)/a^3*c^3*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)-3/n^4/f^4/g^4/ln(F)^4/a^3*d^3*polylog(2,-1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)-6/n/f^2/g^2/ln(F)^2/a^3*c*d^2*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*ln(F^((f*x+e)*g))*x+6/n/f^2/g^2/ln(F)^2/a^3*c*d^2*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)*ln(F^((f*x+e)*g))*x-6/n/f^2/g^2/ln(F)^2/a^3*c*d^2*ln(1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+1)*ln(F^((f*x+e)*g))*x+1/2*(2*ln(F)*b*d^3*f*g*n*x^3*(F^((f*x+e)*g))^n+3*ln(F)*a*d^3*f*g*n*x^3+6*ln(F)*b*c*d^2*f*g*n*x^2*(F^((f*x+e)*g))^n+9*ln(F)*a*c*d^2*f*g*n*x^2+6*ln(F)*b*c^2*d*f*g*n*x*(F^((f*x+e)*g))^n+9*ln(F)*a*c^2*d*f*g*n*x+2*ln(F)*b*c^3*f*g*n*(F^((f*x+e)*g))^n+3*ln(F)*a*c^3*f*g*n-3*b*d^3*x^2*(F^((f*x+e)*g))^n-3*a*d^3*x^2-6*b*c*d^2*x*(F^((f*x+e)*g))^n-6*a*c*d^2*x-3*b*c^2*d*(F^((f*x+e)*g))^n-3*a*c^2*d)/n^2/f^2/g^2/ln(F)^2/a^2/(b*(F^((f*x+e)*g))^n+a)^2-1/n/f^4/g^4/ln(F)^4/a^3*d^3*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*ln(F^((f*x+e)*g))^3-1/n/f/g/ln(F)/a^3*d^3*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)*x^3+1/n/f^4/g^4/ln(F)^4/a^3*d^3*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)*ln(F^((f*x+e)*g))^3-3/n^3/f^4/g^4/ln(F)^4/a^3*d^3*ln(1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+1)*ln(F^((f*x+e)*g))-3/n^3/f^3/g^3/ln(F)^3/a^3*d^3*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)*x+3/n^3/f^4/g^4/ln(F)^4/a^3*d^3*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)*ln(F^((f*x+e)*g))+6/n^3/f^3/g^3/ln(F)^3/a^3*c*d^2*polylog(3,-1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)+9/n^3/f^3/g^3/ln(F)^3/a^3*c*d^2*polylog(2,-1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)-3/n^2/f^2/g^2/ln(F)^2/a^3*d^3*polylog(2,-1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*x^2+9/2/n^2/f^2/g^2/ln(F)^2/a^3*c^2*d*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)-9/2/n^2/f^2/g^2/ln(F)^2/a^3*c^2*d*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)-3/n^2/f^2/g^2/ln(F)^2/a^3*c^2*d*polylog(2,-1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)+3/n^3/f^3/g^3/ln(F)^3/a^3*d^3*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*x-3/n^3/f^4/g^4/ln(F)^4/a^3*d^3*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*ln(F^((f*x+e)*g))-9/2/n/f^3/g^3/ln(F)^3/a^3*d^2*c*ln(F^((f*x+e)*g))^2-9/2/n/f^3/g^3/ln(F)^3/a^3*d^3*ln(F^((f*x+e)*g))^2*x-9/2/n^2/f^4/g^4/ln(F)^4/a^3*d^3*ln(1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+1)*ln(F^((f*x+e)*g))^2+3/n/f^2/g^2/ln(F)^2/a^3*d^3*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)*ln(F^((f*x+e)*g))*x^2-3/n/f^3/g^3/ln(F)^3/a^3*d^3*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)*ln(F^((f*x+e)*g))^2*x-3/n/f^2/g^2/ln(F)^2/a^3*d^3*ln(1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+1)*ln(F^((f*x+e)*g))*x^2+3/n/f^3/g^3/ln(F)^3/a^3*d^3*ln(1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+1)*ln(F^((f*x+e)*g))^2*x+3/n/f/g/ln(F)/a^3*c^2*d*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*x-3/n/f/g/ln(F)/a^3*c^2*d*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)*x-3/n/f^2/g^2/ln(F)^2/a^3*d^3*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*ln(F^((f*x+e)*g))*x^2+3/n/f/g/ln(F)/a^3*c*d^2*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*x^2+3/n/f^3/g^3/ln(F)^3/a^3*c*d^2*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*ln(F^((f*x+e)*g))^2-3/n/f/g/ln(F)/a^3*c*d^2*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)*x^2-3/n/f^3/g^3/ln(F)^3/a^3*c*d^2*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)*ln(F^((f*x+e)*g))^2-9/2/n^2/f^2/g^2/ln(F)^2/a^3*d^3*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*x^2-9/2/n^2/f^4/g^4/ln(F)^4/a^3*d^3*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*ln(F^((f*x+e)*g))^2+9/2/n^2/f^2/g^2/ln(F)^2/a^3*d^3*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)*x^2+9/2/n^2/f^4/g^4/ln(F)^4/a^3*d^3*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)*ln(F^((f*x+e)*g))^2+9/n^3/f^3/g^3/ln(F)^3/a^3*d^3*polylog(2,-1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*x+6/n^3/f^3/g^3/ln(F)^3/a^3*d^3*polylog(3,-1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*x+3/n^3/f^3/g^3/ln(F)^3/a^3*c*d^2*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)-3/n^3/f^3/g^3/ln(F)^3/a^3*c*d^2*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)-1/n/f^4/g^4/ln(F)^4/a^3*d^3*ln(1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+1)*ln(F^((f*x+e)*g))^3+1/n/f/g/ln(F)/a^3*d^3*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*x^3+3/f^2/g^2/ln(F)^2/a^3*c*d^2*ln(F^((f*x+e)*g))^2*x-3/n/f^2/g^2/ln(F)^2/a^3*c^2*d*ln(1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+1)*ln(F^((f*x+e)*g))-3/n/f^2/g^2/ln(F)^2/a^3*c^2*d*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*ln(F^((f*x+e)*g))+3/n/f^2/g^2/ln(F)^2/a^3*c^2*d*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)*ln(F^((f*x+e)*g))-6/n^2/f^2/g^2/ln(F)^2/a^3*c*d^2*polylog(2,-1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*x+9/n^2/f^3/g^3/ln(F)^3/a^3*c*d^2*ln(1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+1)*ln(F^((f*x+e)*g))+9/n^2/f^2/g^2/ln(F)^2/a^3*c*d^2*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)*x-9/n^2/f^3/g^3/ln(F)^3/a^3*c*d^2*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)*ln(F^((f*x+e)*g))-9/n^2/f^2/g^2/ln(F)^2/a^3*c*d^2*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*x+9/n^2/f^3/g^3/ln(F)^3/a^3*c*d^2*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*ln(F^((f*x+e)*g))+9/n^2/f^3/g^3/ln(F)^3/a^3*d^3*ln(1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+1)*ln(F^((f*x+e)*g))*x+9/n^2/f^3/g^3/ln(F)^3/a^3*d^3*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*ln(F^((f*x+e)*g))*x-9/n^2/f^3/g^3/ln(F)^3/a^3*d^3*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)*ln(F^((f*x+e)*g))*x+3/n/f^3/g^3/ln(F)^3/a^3*c*d^2*ln(1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+1)*ln(F^((f*x+e)*g))^2+3/n/f^3/g^3/ln(F)^3/a^3*d^3*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*ln(F^((f*x+e)*g))^2*x","B"
59,1,1887,433,0.081000," ","int((d*x+c)^2/(b*(F^((f*x+e)*g))^n+a)^3,x)","\frac{d^{2} x^{2} \ln \left(F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}\right)}{a^{3} f g n \ln \left(F \right)}-\frac{d^{2} x^{2} \ln \left(b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)}{a^{3} f g n \ln \left(F \right)}+\frac{2 c d x \ln \left(F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}\right)}{a^{3} f g n \ln \left(F \right)}-\frac{2 c d x \ln \left(b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)}{a^{3} f g n \ln \left(F \right)}+\frac{c^{2} \ln \left(F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}\right)}{a^{3} f g n \ln \left(F \right)}-\frac{c^{2} \ln \left(b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)}{a^{3} f g n \ln \left(F \right)}+\frac{d^{2} x \ln \left(F^{\left(f x +e \right) g}\right)^{2}}{a^{3} f^{2} g^{2} \ln \left(F \right)^{2}}+\frac{c d \ln \left(F^{\left(f x +e \right) g}\right)^{2}}{a^{3} f^{2} g^{2} \ln \left(F \right)^{2}}-\frac{2 d^{2} x \ln \left(F^{\left(f x +e \right) g}\right) \ln \left(F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}\right)}{a^{3} f^{2} g^{2} n \ln \left(F \right)^{2}}-\frac{2 d^{2} x \ln \left(F^{\left(f x +e \right) g}\right) \ln \left(\frac{b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}}{a}+1\right)}{a^{3} f^{2} g^{2} n \ln \left(F \right)^{2}}+\frac{2 d^{2} x \ln \left(F^{\left(f x +e \right) g}\right) \ln \left(b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)}{a^{3} f^{2} g^{2} n \ln \left(F \right)^{2}}-\frac{2 c d \ln \left(F^{\left(f x +e \right) g}\right) \ln \left(F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}\right)}{a^{3} f^{2} g^{2} n \ln \left(F \right)^{2}}-\frac{2 c d \ln \left(F^{\left(f x +e \right) g}\right) \ln \left(\frac{b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}}{a}+1\right)}{a^{3} f^{2} g^{2} n \ln \left(F \right)^{2}}+\frac{2 c d \ln \left(F^{\left(f x +e \right) g}\right) \ln \left(b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)}{a^{3} f^{2} g^{2} n \ln \left(F \right)^{2}}-\frac{2 d^{2} x \polylog \left(2, -\frac{b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}}{a}\right)}{a^{3} f^{2} g^{2} n^{2} \ln \left(F \right)^{2}}-\frac{3 d^{2} x \ln \left(F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}\right)}{a^{3} f^{2} g^{2} n^{2} \ln \left(F \right)^{2}}+\frac{3 d^{2} x \ln \left(b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)}{a^{3} f^{2} g^{2} n^{2} \ln \left(F \right)^{2}}-\frac{2 d^{2} \ln \left(F^{\left(f x +e \right) g}\right)^{3}}{3 a^{3} f^{3} g^{3} \ln \left(F \right)^{3}}-\frac{2 c d \polylog \left(2, -\frac{b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}}{a}\right)}{a^{3} f^{2} g^{2} n^{2} \ln \left(F \right)^{2}}-\frac{3 c d \ln \left(F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}\right)}{a^{3} f^{2} g^{2} n^{2} \ln \left(F \right)^{2}}+\frac{3 c d \ln \left(b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)}{a^{3} f^{2} g^{2} n^{2} \ln \left(F \right)^{2}}+\frac{d^{2} \ln \left(F^{\left(f x +e \right) g}\right)^{2} \ln \left(F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}\right)}{a^{3} f^{3} g^{3} n \ln \left(F \right)^{3}}+\frac{d^{2} \ln \left(F^{\left(f x +e \right) g}\right)^{2} \ln \left(\frac{b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}}{a}+1\right)}{a^{3} f^{3} g^{3} n \ln \left(F \right)^{3}}-\frac{d^{2} \ln \left(F^{\left(f x +e \right) g}\right)^{2} \ln \left(b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)}{a^{3} f^{3} g^{3} n \ln \left(F \right)^{3}}-\frac{3 d^{2} \ln \left(F^{\left(f x +e \right) g}\right)^{2}}{2 a^{3} f^{3} g^{3} n \ln \left(F \right)^{3}}+\frac{2 b \,d^{2} f g n \,x^{2} \left(F^{\left(f x +e \right) g}\right)^{n} \ln \left(F \right)+3 a \,d^{2} f g n \,x^{2} \ln \left(F \right)+4 b c d f g n x \left(F^{\left(f x +e \right) g}\right)^{n} \ln \left(F \right)+6 a c d f g n x \ln \left(F \right)+2 b \,c^{2} f g n \left(F^{\left(f x +e \right) g}\right)^{n} \ln \left(F \right)+3 a \,c^{2} f g n \ln \left(F \right)-2 b \,d^{2} x \left(F^{\left(f x +e \right) g}\right)^{n}-2 a \,d^{2} x -2 b c d \left(F^{\left(f x +e \right) g}\right)^{n}-2 a c d}{2 \left(b \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)^{2} a^{2} f^{2} g^{2} n^{2} \ln \left(F \right)^{2}}+\frac{3 d^{2} \ln \left(F^{\left(f x +e \right) g}\right) \ln \left(F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}\right)}{a^{3} f^{3} g^{3} n^{2} \ln \left(F \right)^{3}}+\frac{3 d^{2} \ln \left(F^{\left(f x +e \right) g}\right) \ln \left(\frac{b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}}{a}+1\right)}{a^{3} f^{3} g^{3} n^{2} \ln \left(F \right)^{3}}-\frac{3 d^{2} \ln \left(F^{\left(f x +e \right) g}\right) \ln \left(b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)}{a^{3} f^{3} g^{3} n^{2} \ln \left(F \right)^{3}}+\frac{3 d^{2} \polylog \left(2, -\frac{b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}}{a}\right)}{a^{3} f^{3} g^{3} n^{3} \ln \left(F \right)^{3}}+\frac{2 d^{2} \polylog \left(3, -\frac{b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}}{a}\right)}{a^{3} f^{3} g^{3} n^{3} \ln \left(F \right)^{3}}+\frac{d^{2} \ln \left(F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}\right)}{a^{3} f^{3} g^{3} n^{3} \ln \left(F \right)^{3}}-\frac{d^{2} \ln \left(b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)}{a^{3} f^{3} g^{3} n^{3} \ln \left(F \right)^{3}}"," ",0,"1/2*(2*ln(F)*b*d^2*f*g*n*x^2*(F^((f*x+e)*g))^n+3*ln(F)*a*d^2*f*g*n*x^2+4*ln(F)*b*c*d*f*g*n*x*(F^((f*x+e)*g))^n+6*ln(F)*a*c*d*f*g*n*x+2*ln(F)*b*c^2*f*g*n*(F^((f*x+e)*g))^n+3*ln(F)*a*c^2*f*g*n-2*b*d^2*x*(F^((f*x+e)*g))^n-2*a*d^2*x-2*b*c*d*(F^((f*x+e)*g))^n-2*a*c*d)/n^2/f^2/g^2/ln(F)^2/a^2/(b*(F^((f*x+e)*g))^n+a)^2-2/3/f^3/g^3/ln(F)^3/a^3*d^2*ln(F^((f*x+e)*g))^3-2/n/f^2/g^2/ln(F)^2/a^3*d^2*ln(1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+1)*ln(F^((f*x+e)*g))*x+2/n/f^2/g^2/ln(F)^2/a^3*c*d*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)*ln(F^((f*x+e)*g))+2/n/f^2/g^2/ln(F)^2/a^3*d^2*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)*ln(F^((f*x+e)*g))*x+2/n/f/g/ln(F)/a^3*c*d*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*x-2/n/f/g/ln(F)/a^3*c*d*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)*x-2/n/f^2/g^2/ln(F)^2/a^3*d^2*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*ln(F^((f*x+e)*g))*x-2/n/f^2/g^2/ln(F)^2/a^3*c*d*ln(1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+1)*ln(F^((f*x+e)*g))-2/n/f^2/g^2/ln(F)^2/a^3*c*d*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*ln(F^((f*x+e)*g))-2/n^2/f^2/g^2/ln(F)^2/a^3*c*d*polylog(2,-1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)-3/n^2/f^2/g^2/ln(F)^2/a^3*c*d*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)+3/n^2/f^2/g^2/ln(F)^2/a^3*c*d*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)-2/n^2/f^2/g^2/ln(F)^2/a^3*d^2*polylog(2,-1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*x+1/n/f/g/ln(F)/a^3*d^2*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*x^2+1/n/f^3/g^3/ln(F)^3/a^3*d^2*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*ln(F^((f*x+e)*g))^2+1/n/f^3/g^3/ln(F)^3/a^3*d^2*ln(1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+1)*ln(F^((f*x+e)*g))^2-1/n/f/g/ln(F)/a^3*d^2*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)*x^2-1/n/f^3/g^3/ln(F)^3/a^3*d^2*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)*ln(F^((f*x+e)*g))^2-3/n^2/f^2/g^2/ln(F)^2/a^3*d^2*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*x+3/n^2/f^3/g^3/ln(F)^3/a^3*d^2*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*ln(F^((f*x+e)*g))+3/n^2/f^3/g^3/ln(F)^3/a^3*d^2*ln(1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+1)*ln(F^((f*x+e)*g))+3/n^2/f^2/g^2/ln(F)^2/a^3*d^2*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)*x-3/n^2/f^3/g^3/ln(F)^3/a^3*d^2*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)*ln(F^((f*x+e)*g))+1/f^2/g^2/ln(F)^2/a^3*d*c*ln(F^((f*x+e)*g))^2+1/f^2/g^2/ln(F)^2/a^3*d^2*ln(F^((f*x+e)*g))^2*x+1/n^3/f^3/g^3/ln(F)^3/a^3*d^2*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)+2/n^3/f^3/g^3/ln(F)^3/a^3*d^2*polylog(3,-1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)-1/n/f/g/ln(F)/a^3*c^2*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)-3/2/n/f^3/g^3/ln(F)^3/a^3*d^2*ln(F^((f*x+e)*g))^2+1/n/f/g/ln(F)/a^3*c^2*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)-1/n^3/f^3/g^3/ln(F)^3/a^3*d^2*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)+3/n^3/f^3/g^3/ln(F)^3/a^3*d^2*polylog(2,-1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)","B"
60,1,668,266,0.069000," ","int((d*x+c)/(b*(F^((f*x+e)*g))^n+a)^3,x)","\frac{d x \ln \left(F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}\right)}{a^{3} f g n \ln \left(F \right)}-\frac{d x \ln \left(b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)}{a^{3} f g n \ln \left(F \right)}+\frac{c \ln \left(F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}\right)}{a^{3} f g n \ln \left(F \right)}-\frac{c \ln \left(b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)}{a^{3} f g n \ln \left(F \right)}+\frac{d \ln \left(F^{\left(f x +e \right) g}\right)^{2}}{2 a^{3} f^{2} g^{2} \ln \left(F \right)^{2}}-\frac{d \ln \left(F^{\left(f x +e \right) g}\right) \ln \left(F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}\right)}{a^{3} f^{2} g^{2} n \ln \left(F \right)^{2}}-\frac{d \ln \left(F^{\left(f x +e \right) g}\right) \ln \left(\frac{b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}}{a}+1\right)}{a^{3} f^{2} g^{2} n \ln \left(F \right)^{2}}+\frac{d \ln \left(F^{\left(f x +e \right) g}\right) \ln \left(b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)}{a^{3} f^{2} g^{2} n \ln \left(F \right)^{2}}-\frac{d \polylog \left(2, -\frac{b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}}{a}\right)}{a^{3} f^{2} g^{2} n^{2} \ln \left(F \right)^{2}}-\frac{3 d \ln \left(F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}\right)}{2 a^{3} f^{2} g^{2} n^{2} \ln \left(F \right)^{2}}+\frac{3 d \ln \left(b \,F^{f g n x} F^{-f g n x} \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)}{2 a^{3} f^{2} g^{2} n^{2} \ln \left(F \right)^{2}}+\frac{2 b d f g n x \left(F^{\left(f x +e \right) g}\right)^{n} \ln \left(F \right)+3 a d f g n x \ln \left(F \right)+2 b c f g n \left(F^{\left(f x +e \right) g}\right)^{n} \ln \left(F \right)+3 a c f g n \ln \left(F \right)-b d \left(F^{\left(f x +e \right) g}\right)^{n}-a d}{2 \left(b \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)^{2} a^{2} f^{2} g^{2} n^{2} \ln \left(F \right)^{2}}"," ",0,"1/2*(2*ln(F)*(F^((f*x+e)*g))^n*b*d*f*g*n*x+3*ln(F)*a*d*f*g*n*x+2*ln(F)*(F^((f*x+e)*g))^n*b*c*f*g*n+3*c*ln(F)*a*f*g*n-(F^((f*x+e)*g))^n*b*d-a*d)/n^2/f^2/g^2/ln(F)^2/a^2/(b*(F^((f*x+e)*g))^n+a)^2+1/a^3/n/f/g/ln(F)*c*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)-1/a^3/n/f/g/ln(F)*c*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)-3/2/a^3/n^2/f^2/g^2/ln(F)^2*d*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)+3/2/a^3/n^2/f^2/g^2/ln(F)^2*d*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)-1/a^3/n^2/f^2/g^2/ln(F)^2*d*polylog(2,-1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)-1/a^3/n/f/g/ln(F)*d*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)*x+1/a^3/n/f^2/g^2/ln(F)^2*d*ln(b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+a)*ln(F^((f*x+e)*g))-1/a^3/n/f^2/g^2/ln(F)^2*d*ln(1/a*b*F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n+1)*ln(F^((f*x+e)*g))+1/a^3/n/f/g/ln(F)*d*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*x-1/a^3/n/f^2/g^2/ln(F)^2*d*ln(F^(f*g*n*x)*F^(-f*g*n*x)*(F^((f*x+e)*g))^n)*ln(F^((f*x+e)*g))+1/2/a^3/f^2/g^2/ln(F)^2*d*ln(F^((f*x+e)*g))^2","B"
61,1,134,109,0.021000," ","int(1/(b*(F^((f*x+e)*g))^n+a)^3,x)","\frac{1}{2 \left(b \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)^{2} a f g n \ln \left(F \right)}+\frac{1}{\left(b \left(F^{\left(f x +e \right) g}\right)^{n}+a \right) a^{2} f g n \ln \left(F \right)}+\frac{\ln \left(\left(F^{\left(f x +e \right) g}\right)^{n}\right)}{a^{3} f g n \ln \left(F \right)}-\frac{\ln \left(b \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)}{a^{3} f g n \ln \left(F \right)}"," ",0,"1/g/f/ln(F)/n/a^3*ln((F^((f*x+e)*g))^n)-ln(b*(F^((f*x+e)*g))^n+a)/a^3/f/g/n/ln(F)+1/a^2/f/(b*(F^((f*x+e)*g))^n+a)/g/n/ln(F)+1/2/a/f/(b*(F^((f*x+e)*g))^n+a)^2/g/n/ln(F)","A"
62,0,0,28,0.439000," ","int(1/(b*(F^((f*x+e)*g))^n+a)^3/(d*x+c),x)","\int \frac{1}{\left(b \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)^{3} \left(d x +c \right)}\, dx"," ",0,"int(1/(b*(F^((f*x+e)*g))^n+a)^3/(d*x+c),x)","F"
63,0,0,28,0.712000," ","int(1/(b*(F^((f*x+e)*g))^n+a)^3/(d*x+c)^2,x)","\int \frac{1}{\left(b \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)^{3} \left(d x +c \right)^{2}}\, dx"," ",0,"int(1/(b*(F^((f*x+e)*g))^n+a)^3/(d*x+c)^2,x)","F"
64,1,77,54,0.018000," ","int((a+b*exp(x))*(d*x+c)^(1/2),x)","\frac{2 \left(-\frac{\sqrt{\pi}\, d \erf \left(\sqrt{-\frac{1}{d}}\, \sqrt{d x +c}\right)}{4 \sqrt{-\frac{1}{d}}}+\frac{\sqrt{d x +c}\, d \,{\mathrm e}^{\frac{d x +c}{d}}}{2}\right) b \,{\mathrm e}^{-\frac{c}{d}}+\frac{2 \left(d x +c \right)^{\frac{3}{2}} a}{3}}{d}"," ",0,"2/d*(1/3*a*(d*x+c)^(3/2)+b/exp(c/d)*(1/2*(d*x+c)^(1/2)*exp((d*x+c)/d)*d-1/4*d*Pi^(1/2)/(-1/d)^(1/2)*erf((-1/d)^(1/2)*(d*x+c)^(1/2))))","A"
65,1,144,113,0.017000," ","int((a+b*exp(x))^2*(d*x+c)^(1/2),x)","\frac{4 \left(-\frac{\sqrt{\pi}\, d \erf \left(\sqrt{-\frac{1}{d}}\, \sqrt{d x +c}\right)}{4 \sqrt{-\frac{1}{d}}}+\frac{\sqrt{d x +c}\, d \,{\mathrm e}^{\frac{d x +c}{d}}}{2}\right) a b \,{\mathrm e}^{-\frac{c}{d}}+2 \left(-\frac{\sqrt{\pi}\, d \erf \left(\sqrt{-\frac{2}{d}}\, \sqrt{d x +c}\right)}{8 \sqrt{-\frac{2}{d}}}+\frac{\sqrt{d x +c}\, d \,{\mathrm e}^{\frac{2 d x +2 c}{d}}}{4}\right) b^{2} {\mathrm e}^{-\frac{2 c}{d}}+\frac{2 \left(d x +c \right)^{\frac{3}{2}} a^{2}}{3}}{d}"," ",0,"2/d*(1/3*a^2*(d*x+c)^(3/2)+b^2/exp(c/d)^2*(1/4*d*(d*x+c)^(1/2)*exp(2*(d*x+c)/d)-1/8*d*Pi^(1/2)/(-2/d)^(1/2)*erf((-2/d)^(1/2)*(d*x+c)^(1/2)))+2*a*b/exp(c/d)*(1/2*(d*x+c)^(1/2)*d*exp((d*x+c)/d)-1/4*d*Pi^(1/2)/(-1/d)^(1/2)*erf((-1/d)^(1/2)*(d*x+c)^(1/2))))","A"
66,1,211,173,0.018000," ","int((a+b*exp(x))^3*(d*x+c)^(1/2),x)","\frac{6 \left(-\frac{\sqrt{\pi}\, d \erf \left(\sqrt{-\frac{1}{d}}\, \sqrt{d x +c}\right)}{4 \sqrt{-\frac{1}{d}}}+\frac{\sqrt{d x +c}\, d \,{\mathrm e}^{\frac{d x +c}{d}}}{2}\right) a^{2} b \,{\mathrm e}^{-\frac{c}{d}}+6 \left(-\frac{\sqrt{\pi}\, d \erf \left(\sqrt{-\frac{2}{d}}\, \sqrt{d x +c}\right)}{8 \sqrt{-\frac{2}{d}}}+\frac{\sqrt{d x +c}\, d \,{\mathrm e}^{\frac{2 d x +2 c}{d}}}{4}\right) a \,b^{2} {\mathrm e}^{-\frac{2 c}{d}}+2 \left(-\frac{\sqrt{\pi}\, d \erf \left(\sqrt{-\frac{3}{d}}\, \sqrt{d x +c}\right)}{12 \sqrt{-\frac{3}{d}}}+\frac{\sqrt{d x +c}\, d \,{\mathrm e}^{\frac{3 d x +3 c}{d}}}{6}\right) b^{3} {\mathrm e}^{-\frac{3 c}{d}}+\frac{2 \left(d x +c \right)^{\frac{3}{2}} a^{3}}{3}}{d}"," ",0,"2/d*(1/3*(d*x+c)^(3/2)*a^3+b^3/exp(c/d)^3*(1/6*d*(d*x+c)^(1/2)*exp(3*(d*x+c)/d)-1/12*d*Pi^(1/2)/(-3/d)^(1/2)*erf((-3/d)^(1/2)*(d*x+c)^(1/2)))+3*a*b^2/exp(c/d)^2*(1/4*(d*x+c)^(1/2)*d*exp(2*(d*x+c)/d)-1/8*d*Pi^(1/2)/(-2/d)^(1/2)*erf((-2/d)^(1/2)*(d*x+c)^(1/2)))+3*a^2*b/exp(c/d)*(1/2*(d*x+c)^(1/2)*d*exp((d*x+c)/d)-1/4*d*Pi^(1/2)/(-1/d)^(1/2)*erf((-1/d)^(1/2)*(d*x+c)^(1/2))))","A"
67,0,0,18,0.088000," ","int((d*x+c)^(1/2)/(a+b*exp(x)),x)","\int \frac{\sqrt{d x +c}}{b \,{\mathrm e}^{x}+a}\, dx"," ",0,"int((d*x+c)^(1/2)/(a+b*exp(x)),x)","F"
68,0,0,18,0.088000," ","int((d*x+c)^(1/2)/(b*exp(x)+a)^2,x)","\int \frac{\sqrt{d x +c}}{\left(b \,{\mathrm e}^{x}+a \right)^{2}}\, dx"," ",0,"int((d*x+c)^(1/2)/(b*exp(x)+a)^2,x)","F"
69,0,0,18,0.099000," ","int((d*x+c)^(1/2)/(b*exp(x)+a)^3,x)","\int \frac{\sqrt{d x +c}}{\left(b \,{\mathrm e}^{x}+a \right)^{3}}\, dx"," ",0,"int((d*x+c)^(1/2)/(b*exp(x)+a)^3,x)","F"
70,0,0,340,0.080000," ","int((b*(F^((f*x+e)*g))^n+a)^3*(d*x+c)^m,x)","\int \left(b \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)^{3} \left(d x +c \right)^{m}\, dx"," ",0,"int((b*(F^((f*x+e)*g))^n+a)^3*(d*x+c)^m,x)","F"
71,0,0,228,0.081000," ","int((b*(F^((f*x+e)*g))^n+a)^2*(d*x+c)^m,x)","\int \left(b \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)^{2} \left(d x +c \right)^{m}\, dx"," ",0,"int((b*(F^((f*x+e)*g))^n+a)^2*(d*x+c)^m,x)","F"
72,0,0,116,0.079000," ","int((b*(F^((f*x+e)*g))^n+a)*(d*x+c)^m,x)","\int \left(b \left(F^{\left(f x +e \right) g}\right)^{n}+a \right) \left(d x +c \right)^{m}\, dx"," ",0,"int((b*(F^((f*x+e)*g))^n+a)*(d*x+c)^m,x)","F"
73,0,0,28,0.098000," ","int((d*x+c)^m/(b*(F^((f*x+e)*g))^n+a),x)","\int \frac{\left(d x +c \right)^{m}}{b \left(F^{\left(f x +e \right) g}\right)^{n}+a}\, dx"," ",0,"int((d*x+c)^m/(b*(F^((f*x+e)*g))^n+a),x)","F"
74,0,0,28,0.463000," ","int((d*x+c)^m/(b*(F^((f*x+e)*g))^n+a)^2,x)","\int \frac{\left(d x +c \right)^{m}}{\left(b \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)^{2}}\, dx"," ",0,"int((d*x+c)^m/(b*(F^((f*x+e)*g))^n+a)^2,x)","F"
75,0,0,28,0.209000," ","int((b*(F^((f*x+e)*g))^n+a)^p*(d*x+c)^m,x)","\int \left(b \left(F^{\left(f x +e \right) g}\right)^{n}+a \right)^{p} \left(d x +c \right)^{m}\, dx"," ",0,"int((b*(F^((f*x+e)*g))^n+a)^p*(d*x+c)^m,x)","F"
76,1,225,115,0.072000," ","int(F^(d*x+c)*x^3/(a+b*F^(d*x+c)),x)","\frac{x^{3} \ln \left(\frac{b \,F^{c} F^{d x}}{a}+1\right)}{b d \ln \left(F \right)}-\frac{c^{3} x}{b \,d^{3}}-\frac{3 c^{4}}{4 b \,d^{4}}+\frac{c^{3} \ln \left(F^{c} F^{d x}\right)}{b \,d^{4} \ln \left(F \right)}+\frac{c^{3} \ln \left(\frac{b \,F^{c} F^{d x}}{a}+1\right)}{b \,d^{4} \ln \left(F \right)}-\frac{c^{3} \ln \left(b \,F^{c} F^{d x}+a \right)}{b \,d^{4} \ln \left(F \right)}+\frac{3 x^{2} \polylog \left(2, -\frac{b \,F^{c} F^{d x}}{a}\right)}{b \,d^{2} \ln \left(F \right)^{2}}-\frac{6 x \polylog \left(3, -\frac{b \,F^{c} F^{d x}}{a}\right)}{b \,d^{3} \ln \left(F \right)^{3}}+\frac{6 \polylog \left(4, -\frac{b \,F^{c} F^{d x}}{a}\right)}{b \,d^{4} \ln \left(F \right)^{4}}"," ",0,"-1/d^3/b*c^3*x-3/4/d^4/b*c^4+1/d/ln(F)/b*ln(1+b*F^(d*x)*F^c/a)*x^3+1/d^4/ln(F)/b*ln(1+b*F^(d*x)*F^c/a)*c^3+3/d^2/ln(F)^2/b*polylog(2,-b*F^(d*x)*F^c/a)*x^2-6/d^3/ln(F)^3/b*polylog(3,-b*F^(d*x)*F^c/a)*x+6/d^4/ln(F)^4/b*polylog(4,-b*F^(d*x)*F^c/a)+1/d^4/ln(F)/b*c^3*ln(F^(d*x)*F^c)-1/d^4/ln(F)/b*c^3*ln(a+F^c*F^(d*x)*b)","A"
77,1,194,85,0.064000," ","int(F^(d*x+c)*x^2/(a+b*F^(d*x+c)),x)","\frac{c^{2} x}{b \,d^{2}}+\frac{x^{2} \ln \left(\frac{b \,F^{c} F^{d x}}{a}+1\right)}{b d \ln \left(F \right)}+\frac{2 c^{3}}{3 b \,d^{3}}-\frac{c^{2} \ln \left(F^{c} F^{d x}\right)}{b \,d^{3} \ln \left(F \right)}-\frac{c^{2} \ln \left(\frac{b \,F^{c} F^{d x}}{a}+1\right)}{b \,d^{3} \ln \left(F \right)}+\frac{c^{2} \ln \left(b \,F^{c} F^{d x}+a \right)}{b \,d^{3} \ln \left(F \right)}+\frac{2 x \polylog \left(2, -\frac{b \,F^{c} F^{d x}}{a}\right)}{b \,d^{2} \ln \left(F \right)^{2}}-\frac{2 \polylog \left(3, -\frac{b \,F^{c} F^{d x}}{a}\right)}{b \,d^{3} \ln \left(F \right)^{3}}"," ",0,"1/d^2/b*c^2*x+2/3/d^3/b*c^3+1/d/ln(F)/b*ln(1/a*b*F^c*F^(d*x)+1)*x^2-1/d^3/ln(F)/b*ln(1/a*b*F^c*F^(d*x)+1)*c^2+2/d^2/ln(F)^2/b*polylog(2,-1/a*b*F^c*F^(d*x))*x-2/d^3/ln(F)^3/b*polylog(3,-1/a*b*F^c*F^(d*x))-1/d^3/ln(F)/b*c^2*ln(F^c*F^(d*x))+1/d^3/ln(F)/b*c^2*ln(b*F^c*F^(d*x)+a)","B"
78,1,154,54,0.061000," ","int(F^(d*x+c)*x/(a+b*F^(d*x+c)),x)","-\frac{c x}{b d}-\frac{c^{2}}{2 b \,d^{2}}+\frac{x \ln \left(\frac{b \,F^{c} F^{d x}}{a}+1\right)}{b d \ln \left(F \right)}+\frac{c \ln \left(F^{c} F^{d x}\right)}{b \,d^{2} \ln \left(F \right)}+\frac{c \ln \left(\frac{b \,F^{c} F^{d x}}{a}+1\right)}{b \,d^{2} \ln \left(F \right)}-\frac{c \ln \left(b \,F^{c} F^{d x}+a \right)}{b \,d^{2} \ln \left(F \right)}+\frac{\polylog \left(2, -\frac{b \,F^{c} F^{d x}}{a}\right)}{b \,d^{2} \ln \left(F \right)^{2}}"," ",0,"-1/d/b*c*x-1/2*c^2/d^2/b+1/d/ln(F)/b*ln(1/a*b*F^c*F^(d*x)+1)*x+1/d^2/ln(F)/b*ln(1/a*b*F^c*F^(d*x)+1)*c+1/d^2/ln(F)^2/b*polylog(2,-1/a*b*F^c*F^(d*x))+1/d^2/ln(F)/b*c*ln(F^c*F^(d*x))-1/d^2/ln(F)/b*c*ln(b*F^c*F^(d*x)+a)","B"
79,1,24,23,0.004000," ","int(F^(d*x+c)/(a+b*F^(d*x+c)),x)","\frac{\ln \left(b \,F^{d x +c}+a \right)}{b d \ln \left(F \right)}"," ",0,"ln(a+b*F^(d*x+c))/b/d/ln(F)","A"
80,0,0,26,0.083000," ","int(F^(d*x+c)/(b*F^(d*x+c)+a)/x,x)","\int \frac{F^{d x +c}}{\left(b \,F^{d x +c}+a \right) x}\, dx"," ",0,"int(F^(d*x+c)/(b*F^(d*x+c)+a)/x,x)","F"
81,0,0,26,0.080000," ","int(F^(d*x+c)/(b*F^(d*x+c)+a)/x^2,x)","\int \frac{F^{d x +c}}{\left(b \,F^{d x +c}+a \right) x^{2}}\, dx"," ",0,"int(F^(d*x+c)/(b*F^(d*x+c)+a)/x^2,x)","F"
82,1,274,140,0.053000," ","int(F^(d*x+c)*x^3/(b*F^(d*x+c)+a)^2,x)","-\frac{x^{3}}{\left(b \,F^{d x +c}+a \right) b d \ln \left(F \right)}+\frac{x^{3}}{a b d \ln \left(F \right)}-\frac{3 c^{2} x}{a b \,d^{3} \ln \left(F \right)}-\frac{3 x^{2} \ln \left(\frac{b \,F^{c} F^{d x}}{a}+1\right)}{a b \,d^{2} \ln \left(F \right)^{2}}-\frac{2 c^{3}}{a b \,d^{4} \ln \left(F \right)}+\frac{3 c^{2} \ln \left(F^{c} F^{d x}\right)}{a b \,d^{4} \ln \left(F \right)^{2}}+\frac{3 c^{2} \ln \left(\frac{b \,F^{c} F^{d x}}{a}+1\right)}{a b \,d^{4} \ln \left(F \right)^{2}}-\frac{3 c^{2} \ln \left(b \,F^{c} F^{d x}+a \right)}{a b \,d^{4} \ln \left(F \right)^{2}}-\frac{6 x \polylog \left(2, -\frac{b \,F^{c} F^{d x}}{a}\right)}{a b \,d^{3} \ln \left(F \right)^{3}}+\frac{6 \polylog \left(3, -\frac{b \,F^{c} F^{d x}}{a}\right)}{a b \,d^{4} \ln \left(F \right)^{4}}"," ",0,"-x^3/b/d/(b*F^(d*x+c)+a)/ln(F)+x^3/a/b/d/ln(F)-3/d^3/ln(F)/b/a*c^2*x-2/d^4/ln(F)/b/a*c^3-3/d^2/ln(F)^2/b/a*ln(1/a*b*F^c*F^(d*x)+1)*x^2+3/d^4/ln(F)^2/b/a*ln(1/a*b*F^c*F^(d*x)+1)*c^2-6/d^3/ln(F)^3/b/a*polylog(2,-1/a*b*F^c*F^(d*x))*x+6/d^4/ln(F)^4/b/a*polylog(3,-1/a*b*F^c*F^(d*x))+3/d^4/ln(F)^2/b*c^2/a*ln(F^c*F^(d*x))-3/d^4/ln(F)^2/b*c^2/a*ln(b*F^c*F^(d*x)+a)","A"
83,1,231,107,0.049000," ","int(F^(d*x+c)*x^2/(b*F^(d*x+c)+a)^2,x)","-\frac{x^{2}}{\left(b \,F^{d x +c}+a \right) b d \ln \left(F \right)}+\frac{x^{2}}{a b d \ln \left(F \right)}+\frac{2 c x}{a b \,d^{2} \ln \left(F \right)}+\frac{c^{2}}{a b \,d^{3} \ln \left(F \right)}-\frac{2 x \ln \left(\frac{b \,F^{c} F^{d x}}{a}+1\right)}{a b \,d^{2} \ln \left(F \right)^{2}}-\frac{2 c \ln \left(F^{c} F^{d x}\right)}{a b \,d^{3} \ln \left(F \right)^{2}}-\frac{2 c \ln \left(\frac{b \,F^{c} F^{d x}}{a}+1\right)}{a b \,d^{3} \ln \left(F \right)^{2}}+\frac{2 c \ln \left(b \,F^{c} F^{d x}+a \right)}{a b \,d^{3} \ln \left(F \right)^{2}}-\frac{2 \polylog \left(2, -\frac{b \,F^{c} F^{d x}}{a}\right)}{a b \,d^{3} \ln \left(F \right)^{3}}"," ",0,"-x^2/b/d/(b*F^(d*x+c)+a)/ln(F)+x^2/a/b/d/ln(F)+2/d^2/ln(F)/b/a*c*x+1/d^3/ln(F)/b/a*c^2-2/d^2/ln(F)^2/b/a*ln(1/a*b*F^c*F^(d*x)+1)*x-2/d^3/ln(F)^2/b/a*ln(1/a*b*F^c*F^(d*x)+1)*c-2/d^3/ln(F)^3/b/a*polylog(2,-1/a*b*F^c*F^(d*x))-2/d^3/ln(F)^2/b*c/a*ln(F^c*F^(d*x))+2/d^3/ln(F)^2/b*c/a*ln(b*F^c*F^(d*x)+a)","B"
84,1,67,69,0.025000," ","int(F^(d*x+c)*x/(b*F^(d*x+c)+a)^2,x)","\frac{x \,{\mathrm e}^{\left(d x +c \right) \ln \left(F \right)}}{\left(b \,{\mathrm e}^{\left(d x +c \right) \ln \left(F \right)}+a \right) a d \ln \left(F \right)}-\frac{\ln \left(b \,{\mathrm e}^{\left(d x +c \right) \ln \left(F \right)}+a \right)}{a b \,d^{2} \ln \left(F \right)^{2}}"," ",0,"1/ln(F)/a/d*x*exp((d*x+c)*ln(F))/(b*exp((d*x+c)*ln(F))+a)-1/ln(F)^2/b/d^2/a*ln(b*exp((d*x+c)*ln(F))+a)","A"
85,1,26,25,0.002000," ","int(F^(d*x+c)/(b*F^(d*x+c)+a)^2,x)","-\frac{1}{\left(b \,F^{d x +c}+a \right) b d \ln \left(F \right)}"," ",0,"-1/b/d/(b*F^(d*x+c)+a)/ln(F)","A"
86,0,0,60,0.086000," ","int(F^(d*x+c)/(b*F^(d*x+c)+a)^2/x,x)","\int \frac{F^{d x +c}}{\left(b \,F^{d x +c}+a \right)^{2} x}\, dx"," ",0,"int(F^(d*x+c)/(b*F^(d*x+c)+a)^2/x,x)","F"
87,0,0,60,0.088000," ","int(F^(d*x+c)/(b*F^(d*x+c)+a)^2/x^2,x)","\int \frac{F^{d x +c}}{\left(b \,F^{d x +c}+a \right)^{2} x^{2}}\, dx"," ",0,"int(F^(d*x+c)/(b*F^(d*x+c)+a)^2/x^2,x)","F"
88,1,501,251,0.083000," ","int(F^(d*x+c)*x^3/(b*F^(d*x+c)+a)^3,x)","\frac{x^{3}}{2 a^{2} b d \ln \left(F \right)}-\frac{\left(a d x \ln \left(F \right)-3 b \,F^{d x +c}-3 a \right) x^{2}}{2 \left(b \,F^{d x +c}+a \right)^{2} a b \,d^{2} \ln \left(F \right)^{2}}-\frac{3 c^{2} x}{2 a^{2} b \,d^{3} \ln \left(F \right)}-\frac{3 x^{2} \ln \left(\frac{b \,F^{c} F^{d x}}{a}+1\right)}{2 a^{2} b \,d^{2} \ln \left(F \right)^{2}}-\frac{c^{3}}{a^{2} b \,d^{4} \ln \left(F \right)}-\frac{3 x^{2}}{2 a^{2} b \,d^{2} \ln \left(F \right)^{2}}+\frac{3 c^{2} \ln \left(F^{c} F^{d x}\right)}{2 a^{2} b \,d^{4} \ln \left(F \right)^{2}}+\frac{3 c^{2} \ln \left(\frac{b \,F^{c} F^{d x}}{a}+1\right)}{2 a^{2} b \,d^{4} \ln \left(F \right)^{2}}-\frac{3 c^{2} \ln \left(b \,F^{c} F^{d x}+a \right)}{2 a^{2} b \,d^{4} \ln \left(F \right)^{2}}-\frac{3 c x}{a^{2} b \,d^{3} \ln \left(F \right)^{2}}-\frac{3 c^{2}}{2 a^{2} b \,d^{4} \ln \left(F \right)^{2}}-\frac{3 x \polylog \left(2, -\frac{b \,F^{c} F^{d x}}{a}\right)}{a^{2} b \,d^{3} \ln \left(F \right)^{3}}+\frac{3 x \ln \left(\frac{b \,F^{c} F^{d x}}{a}+1\right)}{a^{2} b \,d^{3} \ln \left(F \right)^{3}}+\frac{3 c \ln \left(F^{c} F^{d x}\right)}{a^{2} b \,d^{4} \ln \left(F \right)^{3}}+\frac{3 c \ln \left(\frac{b \,F^{c} F^{d x}}{a}+1\right)}{a^{2} b \,d^{4} \ln \left(F \right)^{3}}-\frac{3 c \ln \left(b \,F^{c} F^{d x}+a \right)}{a^{2} b \,d^{4} \ln \left(F \right)^{3}}+\frac{3 \polylog \left(2, -\frac{b \,F^{c} F^{d x}}{a}\right)}{a^{2} b \,d^{4} \ln \left(F \right)^{4}}+\frac{3 \polylog \left(3, -\frac{b \,F^{c} F^{d x}}{a}\right)}{a^{2} b \,d^{4} \ln \left(F \right)^{4}}"," ",0,"-1/2*x^2*(ln(F)*a*d*x-3*b*F^(d*x+c)-3*a)/ln(F)^2/d^2/a/b/(b*F^(d*x+c)+a)^2+1/2*x^3/a^2/b/d/ln(F)-3/2/b/a^2/d^3/ln(F)*c^2*x-1/b/a^2/d^4/ln(F)*c^3-3/2/b/a^2/d^2/ln(F)^2*ln(1/a*b*F^c*F^(d*x)+1)*x^2+3/2/b/a^2/d^4/ln(F)^2*ln(1/a*b*F^c*F^(d*x)+1)*c^2-3/b/a^2/d^3/ln(F)^3*polylog(2,-1/a*b*F^c*F^(d*x))*x+3/b/a^2/d^4/ln(F)^4*polylog(3,-1/a*b*F^c*F^(d*x))+3/2/b/a^2/d^4/ln(F)^2*c^2*ln(F^c*F^(d*x))-3/2/b/a^2/d^4/ln(F)^2*c^2*ln(b*F^c*F^(d*x)+a)-3/2*x^2/a^2/b/d^2/ln(F)^2-3/b/a^2/d^3/ln(F)^2*c*x-3/2/b/a^2/d^4/ln(F)^2*c^2+3/b/a^2/d^3/ln(F)^3*ln(1/a*b*F^c*F^(d*x)+1)*x+3/b/a^2/d^4/ln(F)^3*ln(1/a*b*F^c*F^(d*x)+1)*c+3/b/a^2/d^4/ln(F)^4*polylog(2,-1/a*b*F^c*F^(d*x))+3/b/a^2/d^4/ln(F)^3*c*ln(F^c*F^(d*x))-3/b/a^2/d^4/ln(F)^3*c*ln(b*F^c*F^(d*x)+a)","A"
89,1,304,178,0.076000," ","int(F^(d*x+c)*x^2/(b*F^(d*x+c)+a)^3,x)","\frac{x^{2}}{2 a^{2} b d \ln \left(F \right)}+\frac{c x}{a^{2} b \,d^{2} \ln \left(F \right)}-\frac{\left(a d x \ln \left(F \right)-2 b \,F^{d x +c}-2 a \right) x}{2 \left(b \,F^{d x +c}+a \right)^{2} a b \,d^{2} \ln \left(F \right)^{2}}+\frac{c^{2}}{2 a^{2} b \,d^{3} \ln \left(F \right)}-\frac{x \ln \left(\frac{b \,F^{c} F^{d x}}{a}+1\right)}{a^{2} b \,d^{2} \ln \left(F \right)^{2}}-\frac{c \ln \left(F^{c} F^{d x}\right)}{a^{2} b \,d^{3} \ln \left(F \right)^{2}}-\frac{c \ln \left(\frac{b \,F^{c} F^{d x}}{a}+1\right)}{a^{2} b \,d^{3} \ln \left(F \right)^{2}}+\frac{c \ln \left(b \,F^{c} F^{d x}+a \right)}{a^{2} b \,d^{3} \ln \left(F \right)^{2}}-\frac{\polylog \left(2, -\frac{b \,F^{c} F^{d x}}{a}\right)}{a^{2} b \,d^{3} \ln \left(F \right)^{3}}-\frac{\ln \left(F^{c} F^{d x}\right)}{a^{2} b \,d^{3} \ln \left(F \right)^{3}}+\frac{\ln \left(b \,F^{c} F^{d x}+a \right)}{a^{2} b \,d^{3} \ln \left(F \right)^{3}}"," ",0,"-1/2*x*(a*d*x*ln(F)-2*b*F^(d*x+c)-2*a)/ln(F)^2/d^2/a/b/(b*F^(d*x+c)+a)^2+1/2*x^2/a^2/b/d/ln(F)+1/b/a^2/d^2/ln(F)*c*x+1/2/b/a^2/d^3/ln(F)*c^2-1/b/a^2/d^2/ln(F)^2*ln(1/a*b*F^c*F^(d*x)+1)*x-1/b/a^2/d^3/ln(F)^2*ln(1/a*b*F^c*F^(d*x)+1)*c-1/b/a^2/d^3/ln(F)^3*polylog(2,-1/a*b*F^c*F^(d*x))+1/b/a^2/d^3/ln(F)^3*ln(b*F^c*F^(d*x)+a)-1/b/a^2/d^3/ln(F)^3*ln(F^c*F^(d*x))-1/b/a^2/d^3/ln(F)^2*c*ln(F^c*F^(d*x))+1/b/a^2/d^3/ln(F)^2*c*ln(b*F^c*F^(d*x)+a)","A"
90,1,127,98,0.033000," ","int(F^(d*x+c)*x/(b*F^(d*x+c)+a)^3,x)","-\frac{\ln \left(b \,{\mathrm e}^{\left(d x +c \right) \ln \left(F \right)}+a \right)}{2 a^{2} b \,d^{2} \ln \left(F \right)^{2}}+\frac{\frac{x \,{\mathrm e}^{\left(d x +c \right) \ln \left(F \right)}}{a d \ln \left(F \right)}+\frac{b x \,{\mathrm e}^{\left(2 d x +2 c \right) \ln \left(F \right)}}{2 a^{2} d \ln \left(F \right)}+\frac{{\mathrm e}^{\left(d x +c \right) \ln \left(F \right)}}{2 a \,d^{2} \ln \left(F \right)^{2}}+\frac{1}{2 b \,d^{2} \ln \left(F \right)^{2}}}{\left(b \,{\mathrm e}^{\left(d x +c \right) \ln \left(F \right)}+a \right)^{2}}"," ",0,"(1/2/ln(F)^2/a/d^2*exp((d*x+c)*ln(F))+1/ln(F)/a/d*x*exp((d*x+c)*ln(F))+1/2/ln(F)/a^2/d*b*x*exp((d*x+c)*ln(F))^2+1/2/ln(F)^2/b/d^2)/(b*exp((d*x+c)*ln(F))+a)^2-1/2/ln(F)^2/b/d^2/a^2*ln(b*exp((d*x+c)*ln(F))+a)","A"
91,1,26,25,0.004000," ","int(F^(d*x+c)/(b*F^(d*x+c)+a)^3,x)","-\frac{1}{2 \left(b \,F^{d x +c}+a \right)^{2} b d \ln \left(F \right)}"," ",0,"-1/2/b/d/(b*F^(d*x+c)+a)^2/ln(F)","A"
92,0,0,60,0.220000," ","int(F^(d*x+c)/(b*F^(d*x+c)+a)^3/x,x)","\int \frac{F^{d x +c}}{\left(b \,F^{d x +c}+a \right)^{3} x}\, dx"," ",0,"int(F^(d*x+c)/(b*F^(d*x+c)+a)^3/x,x)","F"
93,0,0,60,0.253000," ","int(F^(d*x+c)/(b*F^(d*x+c)+a)^3/x^2,x)","\int \frac{F^{d x +c}}{\left(b \,F^{d x +c}+a \right)^{3} x^{2}}\, dx"," ",0,"int(F^(d*x+c)/(b*F^(d*x+c)+a)^3/x^2,x)","F"