1,1,232,0,0.3454437,"\int (a g+b g x)^3 (c i+d i x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \, dx","Int[(a*g + b*g*x)^3*(c*i + d*i*x)*(A + B*Log[(e*(a + b*x))/(c + d*x)]),x]","\frac{g^3 i (a+b x)^4 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{4 b^2}+\frac{d g^3 i (a+b x)^5 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{5 b^2}+\frac{B g^3 i (a+b x)^2 (b c-a d)^3}{40 b^2 d^2}+\frac{B g^3 i (b c-a d)^5 \log (c+d x)}{20 b^2 d^4}-\frac{B g^3 i (a+b x)^3 (b c-a d)^2}{60 b^2 d}-\frac{B g^3 i (a+b x)^4 (b c-a d)}{20 b^2}-\frac{B g^3 i x (b c-a d)^4}{20 b d^3}","\frac{g^3 i (a+b x)^4 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A-B\right)}{20 b^2}+\frac{g^3 i (a+b x)^4 (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{5 b}+\frac{B g^3 i (a+b x)^2 (b c-a d)^3}{40 b^2 d^2}+\frac{B g^3 i (b c-a d)^5 \log (c+d x)}{20 b^2 d^4}-\frac{B g^3 i (a+b x)^3 (b c-a d)^2}{60 b^2 d}-\frac{B g^3 i x (b c-a d)^4}{20 b d^3}",1,"-(B*(b*c - a*d)^4*g^3*i*x)/(20*b*d^3) + (B*(b*c - a*d)^3*g^3*i*(a + b*x)^2)/(40*b^2*d^2) - (B*(b*c - a*d)^2*g^3*i*(a + b*x)^3)/(60*b^2*d) - (B*(b*c - a*d)*g^3*i*(a + b*x)^4)/(20*b^2) + ((b*c - a*d)*g^3*i*(a + b*x)^4*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(4*b^2) + (d*g^3*i*(a + b*x)^5*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(5*b^2) + (B*(b*c - a*d)^5*g^3*i*Log[c + d*x])/(20*b^2*d^4)","A",10,4,38,0.1053,1,"{2528, 2525, 12, 43}"
2,1,200,0,0.2937478,"\int (a g+b g x)^2 (c i+d i x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \, dx","Int[(a*g + b*g*x)^2*(c*i + d*i*x)*(A + B*Log[(e*(a + b*x))/(c + d*x)]),x]","\frac{g^2 i (a+b x)^3 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{3 b^2}+\frac{d g^2 i (a+b x)^4 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{4 b^2}-\frac{B g^2 i (b c-a d)^4 \log (c+d x)}{12 b^2 d^3}-\frac{B g^2 i (a+b x)^2 (b c-a d)^2}{24 b^2 d}-\frac{B g^2 i (a+b x)^3 (b c-a d)}{12 b^2}+\frac{B g^2 i x (b c-a d)^3}{12 b d^2}","\frac{g^2 i (a+b x)^3 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A-B\right)}{12 b^2}+\frac{g^2 i (a+b x)^3 (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{4 b}-\frac{B g^2 i (b c-a d)^4 \log (c+d x)}{12 b^2 d^3}-\frac{B g^2 i (a+b x)^2 (b c-a d)^2}{24 b^2 d}+\frac{B g^2 i x (b c-a d)^3}{12 b d^2}",1,"(B*(b*c - a*d)^3*g^2*i*x)/(12*b*d^2) - (B*(b*c - a*d)^2*g^2*i*(a + b*x)^2)/(24*b^2*d) - (B*(b*c - a*d)*g^2*i*(a + b*x)^3)/(12*b^2) + ((b*c - a*d)*g^2*i*(a + b*x)^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(3*b^2) + (d*g^2*i*(a + b*x)^4*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(4*b^2) - (B*(b*c - a*d)^4*g^2*i*Log[c + d*x])/(12*b^2*d^3)","A",10,4,38,0.1053,1,"{2528, 2525, 12, 43}"
3,1,294,0,0.3440123,"\int (a g+b g x) (c i+d i x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \, dx","Int[(a*g + b*g*x)*(c*i + d*i*x)*(A + B*Log[(e*(a + b*x))/(c + d*x)]),x]","-\frac{1}{3} b B d g i x \left(\frac{a^2}{b^2}-\frac{c^2}{d^2}\right)-\frac{a^2 B g i (a d+b c) \log (a+b x)}{2 b^2}+\frac{a^3 B d g i \log (a+b x)}{3 b^2}+\frac{1}{3} b d g i x^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)+\frac{1}{2} g i x^2 (a d+b c) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)+a A c g i x+\frac{B c^2 g i (a d+b c) \log (c+d x)}{2 d^2}+\frac{a B c g i (a+b x) \log \left(\frac{e (a+b x)}{c+d x}\right)}{b}-\frac{1}{6} B g i x^2 (b c-a d)-\frac{B g i x (b c-a d) (a d+b c)}{2 b d}-\frac{a B c g i (b c-a d) \log (c+d x)}{b d}-\frac{b B c^3 g i \log (c+d x)}{3 d^2}","\frac{g i (a+b x)^2 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A-B\right)}{6 b^2}+\frac{g i (a+b x)^2 (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{3 b}+\frac{B g i (b c-a d)^3 \log (c+d x)}{6 b^2 d^2}-\frac{B g i x (b c-a d)^2}{6 b d}",1,"a*A*c*g*i*x - (b*B*(a^2/b^2 - c^2/d^2)*d*g*i*x)/3 - (B*(b*c - a*d)*(b*c + a*d)*g*i*x)/(2*b*d) - (B*(b*c - a*d)*g*i*x^2)/6 + (a^3*B*d*g*i*Log[a + b*x])/(3*b^2) - (a^2*B*(b*c + a*d)*g*i*Log[a + b*x])/(2*b^2) + (a*B*c*g*i*(a + b*x)*Log[(e*(a + b*x))/(c + d*x)])/b + ((b*c + a*d)*g*i*x^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/2 + (b*d*g*i*x^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/3 - (b*B*c^3*g*i*Log[c + d*x])/(3*d^2) - (a*B*c*(b*c - a*d)*g*i*Log[c + d*x])/(b*d) + (B*c^2*(b*c + a*d)*g*i*Log[c + d*x])/(2*d^2)","B",13,6,36,0.1667,1,"{2528, 2486, 31, 2525, 12, 72}"
4,1,81,0,0.0567414,"\int (c i+d i x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \, dx","Int[(c*i + d*i*x)*(A + B*Log[(e*(a + b*x))/(c + d*x)]),x]","\frac{i (c+d x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 d}-\frac{B i (b c-a d)^2 \log (a+b x)}{2 b^2 d}-\frac{B i x (b c-a d)}{2 b}","\frac{i (c+d x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 d}-\frac{B i (b c-a d)^2 \log (a+b x)}{2 b^2 d}-\frac{B i x (b c-a d)}{2 b}",1,"-(B*(b*c - a*d)*i*x)/(2*b) - (B*(b*c - a*d)^2*i*Log[a + b*x])/(2*b^2*d) + (i*(c + d*x)^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(2*d)","A",4,3,28,0.1071,1,"{2525, 12, 43}"
5,1,213,0,0.3527001,"\int \frac{(c i+d i x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{a g+b g x} \, dx","Int[((c*i + d*i*x)*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(a*g + b*g*x),x]","\frac{B i (b c-a d) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{b^2 g}+\frac{i (b c-a d) \log (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^2 g}+\frac{B d i (a+b x) \log \left(\frac{e (a+b x)}{c+d x}\right)}{b^2 g}-\frac{B i (b c-a d) \log ^2(a+b x)}{2 b^2 g}+\frac{B i (b c-a d) \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{b^2 g}-\frac{B i (b c-a d) \log (c+d x)}{b^2 g}+\frac{A d i x}{b g}","\frac{B i (b c-a d) \text{PolyLog}\left(2,\frac{b c-a d}{d (a+b x)}+1\right)}{b^2 g}-\frac{i (b c-a d) \log \left(-\frac{b c-a d}{d (a+b x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A-B\right)}{b^2 g}+\frac{i (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b g}",1,"(A*d*i*x)/(b*g) - (B*(b*c - a*d)*i*Log[a + b*x]^2)/(2*b^2*g) + (B*d*i*(a + b*x)*Log[(e*(a + b*x))/(c + d*x)])/(b^2*g) + ((b*c - a*d)*i*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(b^2*g) - (B*(b*c - a*d)*i*Log[c + d*x])/(b^2*g) + (B*(b*c - a*d)*i*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^2*g) + (B*(b*c - a*d)*i*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^2*g)","A",14,11,38,0.2895,1,"{2528, 2486, 31, 2524, 12, 2418, 2390, 2301, 2394, 2393, 2391}"
6,1,221,0,0.3839368,"\int \frac{(c i+d i x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{(a g+b g x)^2} \, dx","Int[((c*i + d*i*x)*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(a*g + b*g*x)^2,x]","\frac{B d i \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{b^2 g^2}+\frac{d i \log (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^2 g^2}-\frac{i (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^2 g^2 (a+b x)}-\frac{B i (b c-a d)}{b^2 g^2 (a+b x)}+\frac{B d i \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{b^2 g^2}-\frac{B d i \log ^2(a+b x)}{2 b^2 g^2}-\frac{B d i \log (a+b x)}{b^2 g^2}+\frac{B d i \log (c+d x)}{b^2 g^2}","\frac{B d i \text{PolyLog}\left(2,\frac{b (c+d x)}{d (a+b x)}\right)}{b^2 g^2}-\frac{d i \log \left(1-\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^2 g^2}-\frac{i (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b g^2 (a+b x)}-\frac{B i (c+d x)}{b g^2 (a+b x)}",1,"-((B*(b*c - a*d)*i)/(b^2*g^2*(a + b*x))) - (B*d*i*Log[a + b*x])/(b^2*g^2) - (B*d*i*Log[a + b*x]^2)/(2*b^2*g^2) - ((b*c - a*d)*i*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(b^2*g^2*(a + b*x)) + (d*i*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(b^2*g^2) + (B*d*i*Log[c + d*x])/(b^2*g^2) + (B*d*i*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^2*g^2) + (B*d*i*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^2*g^2)","A",15,11,38,0.2895,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391}"
7,1,191,0,0.2811156,"\int \frac{(c i+d i x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{(a g+b g x)^3} \, dx","Int[((c*i + d*i*x)*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(a*g + b*g*x)^3,x]","-\frac{d i \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^2 g^3 (a+b x)}-\frac{i (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 b^2 g^3 (a+b x)^2}-\frac{B d^2 i \log (a+b x)}{2 b^2 g^3 (b c-a d)}+\frac{B d^2 i \log (c+d x)}{2 b^2 g^3 (b c-a d)}-\frac{B i (b c-a d)}{4 b^2 g^3 (a+b x)^2}-\frac{B d i}{2 b^2 g^3 (a+b x)}","-\frac{i (c+d x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 g^3 (a+b x)^2 (b c-a d)}-\frac{B i (c+d x)^2}{4 g^3 (a+b x)^2 (b c-a d)}",1,"-(B*(b*c - a*d)*i)/(4*b^2*g^3*(a + b*x)^2) - (B*d*i)/(2*b^2*g^3*(a + b*x)) - (B*d^2*i*Log[a + b*x])/(2*b^2*(b*c - a*d)*g^3) - ((b*c - a*d)*i*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(2*b^2*g^3*(a + b*x)^2) - (d*i*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(b^2*g^3*(a + b*x)) + (B*d^2*i*Log[c + d*x])/(2*b^2*(b*c - a*d)*g^3)","B",10,4,38,0.1053,1,"{2528, 2525, 12, 44}"
8,1,225,0,0.3419417,"\int \frac{(c i+d i x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{(a g+b g x)^4} \, dx","Int[((c*i + d*i*x)*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(a*g + b*g*x)^4,x]","-\frac{d i \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 b^2 g^4 (a+b x)^2}-\frac{i (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{3 b^2 g^4 (a+b x)^3}+\frac{B d^2 i}{6 b^2 g^4 (a+b x) (b c-a d)}+\frac{B d^3 i \log (a+b x)}{6 b^2 g^4 (b c-a d)^2}-\frac{B d^3 i \log (c+d x)}{6 b^2 g^4 (b c-a d)^2}-\frac{B i (b c-a d)}{9 b^2 g^4 (a+b x)^3}-\frac{B d i}{12 b^2 g^4 (a+b x)^2}","-\frac{b i (c+d x)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{3 g^4 (a+b x)^3 (b c-a d)^2}+\frac{d i (c+d x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 g^4 (a+b x)^2 (b c-a d)^2}-\frac{b B i (c+d x)^3}{9 g^4 (a+b x)^3 (b c-a d)^2}+\frac{B d i (c+d x)^2}{4 g^4 (a+b x)^2 (b c-a d)^2}",1,"-(B*(b*c - a*d)*i)/(9*b^2*g^4*(a + b*x)^3) - (B*d*i)/(12*b^2*g^4*(a + b*x)^2) + (B*d^2*i)/(6*b^2*(b*c - a*d)*g^4*(a + b*x)) + (B*d^3*i*Log[a + b*x])/(6*b^2*(b*c - a*d)^2*g^4) - ((b*c - a*d)*i*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(3*b^2*g^4*(a + b*x)^3) - (d*i*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(2*b^2*g^4*(a + b*x)^2) - (B*d^3*i*Log[c + d*x])/(6*b^2*(b*c - a*d)^2*g^4)","A",10,4,38,0.1053,1,"{2528, 2525, 12, 44}"
9,1,257,0,0.3895841,"\int \frac{(c i+d i x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{(a g+b g x)^5} \, dx","Int[((c*i + d*i*x)*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(a*g + b*g*x)^5,x]","-\frac{d i \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{3 b^2 g^5 (a+b x)^3}-\frac{i (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{4 b^2 g^5 (a+b x)^4}-\frac{B d^3 i}{12 b^2 g^5 (a+b x) (b c-a d)^2}+\frac{B d^2 i}{24 b^2 g^5 (a+b x)^2 (b c-a d)}-\frac{B d^4 i \log (a+b x)}{12 b^2 g^5 (b c-a d)^3}+\frac{B d^4 i \log (c+d x)}{12 b^2 g^5 (b c-a d)^3}-\frac{B i (b c-a d)}{16 b^2 g^5 (a+b x)^4}-\frac{B d i}{36 b^2 g^5 (a+b x)^3}","-\frac{b^2 i (c+d x)^4 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{4 g^5 (a+b x)^4 (b c-a d)^3}-\frac{d^2 i (c+d x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 g^5 (a+b x)^2 (b c-a d)^3}+\frac{2 b d i (c+d x)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{3 g^5 (a+b x)^3 (b c-a d)^3}-\frac{b^2 B i (c+d x)^4}{16 g^5 (a+b x)^4 (b c-a d)^3}-\frac{B d^2 i (c+d x)^2}{4 g^5 (a+b x)^2 (b c-a d)^3}+\frac{2 b B d i (c+d x)^3}{9 g^5 (a+b x)^3 (b c-a d)^3}",1,"-(B*(b*c - a*d)*i)/(16*b^2*g^5*(a + b*x)^4) - (B*d*i)/(36*b^2*g^5*(a + b*x)^3) + (B*d^2*i)/(24*b^2*(b*c - a*d)*g^5*(a + b*x)^2) - (B*d^3*i)/(12*b^2*(b*c - a*d)^2*g^5*(a + b*x)) - (B*d^4*i*Log[a + b*x])/(12*b^2*(b*c - a*d)^3*g^5) - ((b*c - a*d)*i*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(4*b^2*g^5*(a + b*x)^4) - (d*i*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(3*b^2*g^5*(a + b*x)^3) + (B*d^4*i*Log[c + d*x])/(12*b^2*(b*c - a*d)^3*g^5)","A",10,4,38,0.1053,1,"{2528, 2525, 12, 44}"
10,1,330,0,0.6550707,"\int (a g+b g x)^3 (c i+d i x)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \, dx","Int[(a*g + b*g*x)^3*(c*i + d*i*x)^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]),x]","\frac{d^2 g^3 i^2 (a+b x)^6 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{6 b^3}+\frac{g^3 i^2 (a+b x)^4 (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{4 b^3}+\frac{2 d g^3 i^2 (a+b x)^5 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{5 b^3}-\frac{B g^3 i^2 x (b c-a d)^5}{60 b^2 d^3}+\frac{B g^3 i^2 (a+b x)^2 (b c-a d)^4}{120 b^3 d^2}+\frac{B g^3 i^2 (b c-a d)^6 \log (c+d x)}{60 b^3 d^4}-\frac{B g^3 i^2 (a+b x)^3 (b c-a d)^3}{180 b^3 d}-\frac{7 B g^3 i^2 (a+b x)^4 (b c-a d)^2}{120 b^3}-\frac{B d g^3 i^2 (a+b x)^5 (b c-a d)}{30 b^3}","-\frac{3 b^2 g^3 i^2 (c+d x)^5 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{5 d^4}+\frac{b^3 g^3 i^2 (c+d x)^6 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{6 d^4}-\frac{g^3 i^2 (c+d x)^3 (b c-a d)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{3 d^4}+\frac{3 b g^3 i^2 (c+d x)^4 (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{4 d^4}+\frac{B g^3 i^2 x (b c-a d)^5}{60 b^2 d^3}-\frac{b^2 B g^3 i^2 (c+d x)^5 (b c-a d)}{30 d^4}+\frac{B g^3 i^2 (b c-a d)^6 \log \left(\frac{a+b x}{c+d x}\right)}{60 b^3 d^4}+\frac{B g^3 i^2 (b c-a d)^6 \log (c+d x)}{60 b^3 d^4}+\frac{B g^3 i^2 (c+d x)^2 (b c-a d)^4}{120 b d^4}-\frac{19 B g^3 i^2 (c+d x)^3 (b c-a d)^3}{180 d^4}+\frac{13 b B g^3 i^2 (c+d x)^4 (b c-a d)^2}{120 d^4}",1,"-(B*(b*c - a*d)^5*g^3*i^2*x)/(60*b^2*d^3) + (B*(b*c - a*d)^4*g^3*i^2*(a + b*x)^2)/(120*b^3*d^2) - (B*(b*c - a*d)^3*g^3*i^2*(a + b*x)^3)/(180*b^3*d) - (7*B*(b*c - a*d)^2*g^3*i^2*(a + b*x)^4)/(120*b^3) - (B*d*(b*c - a*d)*g^3*i^2*(a + b*x)^5)/(30*b^3) + ((b*c - a*d)^2*g^3*i^2*(a + b*x)^4*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(4*b^3) + (2*d*(b*c - a*d)*g^3*i^2*(a + b*x)^5*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(5*b^3) + (d^2*g^3*i^2*(a + b*x)^6*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(6*b^3) + (B*(b*c - a*d)^6*g^3*i^2*Log[c + d*x])/(60*b^3*d^4)","A",14,4,40,0.1000,1,"{2528, 2525, 12, 43}"
11,1,296,0,0.5083899,"\int (a g+b g x)^2 (c i+d i x)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \, dx","Int[(a*g + b*g*x)^2*(c*i + d*i*x)^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]),x]","\frac{d^2 g^2 i^2 (a+b x)^5 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{5 b^3}+\frac{g^2 i^2 (a+b x)^3 (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{3 b^3}+\frac{d g^2 i^2 (a+b x)^4 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 b^3}+\frac{B g^2 i^2 x (b c-a d)^4}{30 b^2 d^2}-\frac{B g^2 i^2 (b c-a d)^5 \log (c+d x)}{30 b^3 d^3}-\frac{B g^2 i^2 (a+b x)^2 (b c-a d)^3}{60 b^3 d}-\frac{B g^2 i^2 (a+b x)^3 (b c-a d)^2}{10 b^3}-\frac{B d g^2 i^2 (a+b x)^4 (b c-a d)}{20 b^3}","\frac{b^2 g^2 i^2 (c+d x)^5 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{5 d^3}+\frac{g^2 i^2 (c+d x)^3 (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{3 d^3}-\frac{b g^2 i^2 (c+d x)^4 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 d^3}-\frac{B g^2 i^2 x (b c-a d)^4}{30 b^2 d^2}-\frac{B g^2 i^2 (b c-a d)^5 \log \left(\frac{a+b x}{c+d x}\right)}{30 b^3 d^3}-\frac{B g^2 i^2 (b c-a d)^5 \log (c+d x)}{30 b^3 d^3}-\frac{B g^2 i^2 (c+d x)^2 (b c-a d)^3}{60 b d^3}+\frac{B g^2 i^2 (c+d x)^3 (b c-a d)^2}{10 d^3}-\frac{b B g^2 i^2 (c+d x)^4 (b c-a d)}{20 d^3}",1,"(B*(b*c - a*d)^4*g^2*i^2*x)/(30*b^2*d^2) - (B*(b*c - a*d)^3*g^2*i^2*(a + b*x)^2)/(60*b^3*d) - (B*(b*c - a*d)^2*g^2*i^2*(a + b*x)^3)/(10*b^3) - (B*d*(b*c - a*d)*g^2*i^2*(a + b*x)^4)/(20*b^3) + ((b*c - a*d)^2*g^2*i^2*(a + b*x)^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(3*b^3) + (d*(b*c - a*d)*g^2*i^2*(a + b*x)^4*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(2*b^3) + (d^2*g^2*i^2*(a + b*x)^5*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(5*b^3) - (B*(b*c - a*d)^5*g^2*i^2*Log[c + d*x])/(30*b^3*d^3)","A",14,4,40,0.1000,1,"{2528, 2525, 12, 43}"
12,1,200,0,0.3413047,"\int (a g+b g x) (c i+d i x)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \, dx","Int[(a*g + b*g*x)*(c*i + d*i*x)^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]),x]","-\frac{g i^2 (c+d x)^3 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{3 d^2}+\frac{b g i^2 (c+d x)^4 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{4 d^2}+\frac{B g i^2 (b c-a d)^4 \log (a+b x)}{12 b^3 d^2}+\frac{B g i^2 x (b c-a d)^3}{12 b^2 d}+\frac{B g i^2 (c+d x)^2 (b c-a d)^2}{24 b d^2}-\frac{B g i^2 (c+d x)^3 (b c-a d)}{12 d^2}","-\frac{g i^2 (c+d x)^3 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{3 d^2}+\frac{b g i^2 (c+d x)^4 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{4 d^2}+\frac{B g i^2 (b c-a d)^4 \log \left(\frac{a+b x}{c+d x}\right)}{12 b^3 d^2}+\frac{B g i^2 (b c-a d)^4 \log (c+d x)}{12 b^3 d^2}+\frac{B g i^2 x (b c-a d)^3}{12 b^2 d}+\frac{B g i^2 (c+d x)^2 (b c-a d)^2}{24 b d^2}-\frac{B g i^2 (c+d x)^3 (b c-a d)}{12 d^2}",1,"(B*(b*c - a*d)^3*g*i^2*x)/(12*b^2*d) + (B*(b*c - a*d)^2*g*i^2*(c + d*x)^2)/(24*b*d^2) - (B*(b*c - a*d)*g*i^2*(c + d*x)^3)/(12*d^2) + (B*(b*c - a*d)^4*g*i^2*Log[a + b*x])/(12*b^3*d^2) - ((b*c - a*d)*g*i^2*(c + d*x)^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(3*d^2) + (b*g*i^2*(c + d*x)^4*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(4*d^2)","A",10,4,38,0.1053,1,"{2528, 2525, 12, 43}"
13,1,118,0,0.0668842,"\int (c i+d i x)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \, dx","Int[(c*i + d*i*x)^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]),x]","\frac{i^2 (c+d x)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{3 d}-\frac{B i^2 x (b c-a d)^2}{3 b^2}-\frac{B i^2 (b c-a d)^3 \log (a+b x)}{3 b^3 d}-\frac{B i^2 (c+d x)^2 (b c-a d)}{6 b d}","\frac{i^2 (c+d x)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{3 d}-\frac{B i^2 x (b c-a d)^2}{3 b^2}-\frac{B i^2 (b c-a d)^3 \log (a+b x)}{3 b^3 d}-\frac{B i^2 (c+d x)^2 (b c-a d)}{6 b d}",1,"-(B*(b*c - a*d)^2*i^2*x)/(3*b^2) - (B*(b*c - a*d)*i^2*(c + d*x)^2)/(6*b*d) - (B*(b*c - a*d)^3*i^2*Log[a + b*x])/(3*b^3*d) + (i^2*(c + d*x)^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(3*d)","A",4,3,30,0.1000,1,"{2525, 12, 43}"
14,1,354,0,0.4904153,"\int \frac{(c i+d i x)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{a g+b g x} \, dx","Int[((c*i + d*i*x)^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(a*g + b*g*x),x]","\frac{B i^2 (b c-a d)^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{b^3 g}+\frac{i^2 (b c-a d)^2 \log (a g+b g x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^3 g}+\frac{A d i^2 x (b c-a d)}{b^2 g}+\frac{i^2 (c+d x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 b g}+\frac{B d i^2 (a+b x) (b c-a d) \log \left(\frac{e (a+b x)}{c+d x}\right)}{b^3 g}-\frac{B d i^2 x (b c-a d)}{2 b^2 g}-\frac{B i^2 (b c-a d)^2 \log ^2(g (a+b x))}{2 b^3 g}-\frac{B i^2 (b c-a d)^2 \log (a+b x)}{2 b^3 g}-\frac{B i^2 (b c-a d)^2 \log (c+d x)}{b^3 g}+\frac{B i^2 (b c-a d)^2 \log (a g+b g x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{b^3 g}","\frac{B i^2 (b c-a d)^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{d (a+b x)}\right)}{b^3 g}+\frac{d i^2 (a+b x) (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^3 g}-\frac{i^2 (b c-a d)^2 \log \left(1-\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^3 g}+\frac{i^2 (c+d x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 b g}-\frac{B d i^2 x (b c-a d)}{2 b^2 g}-\frac{B i^2 (b c-a d)^2 \log \left(\frac{a+b x}{c+d x}\right)}{2 b^3 g}-\frac{3 B i^2 (b c-a d)^2 \log (c+d x)}{2 b^3 g}",1,"(A*d*(b*c - a*d)*i^2*x)/(b^2*g) - (B*d*(b*c - a*d)*i^2*x)/(2*b^2*g) - (B*(b*c - a*d)^2*i^2*Log[a + b*x])/(2*b^3*g) - (B*(b*c - a*d)^2*i^2*Log[g*(a + b*x)]^2)/(2*b^3*g) + (B*d*(b*c - a*d)*i^2*(a + b*x)*Log[(e*(a + b*x))/(c + d*x)])/(b^3*g) + (i^2*(c + d*x)^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(2*b*g) - (B*(b*c - a*d)^2*i^2*Log[c + d*x])/(b^3*g) + ((b*c - a*d)^2*i^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[a*g + b*g*x])/(b^3*g) + (B*(b*c - a*d)^2*i^2*Log[(b*(c + d*x))/(b*c - a*d)]*Log[a*g + b*g*x])/(b^3*g) + (B*(b*c - a*d)^2*i^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^3*g)","A",19,13,40,0.3250,1,"{2528, 2486, 31, 2524, 12, 2418, 2390, 2301, 2394, 2393, 2391, 2525, 43}"
15,1,313,0,0.5179911,"\int \frac{(c i+d i x)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{(a g+b g x)^2} \, dx","Int[((c*i + d*i*x)^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(a*g + b*g*x)^2,x]","\frac{2 B d i^2 (b c-a d) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{b^3 g^2}+\frac{2 d i^2 (b c-a d) \log (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^3 g^2}-\frac{i^2 (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^3 g^2 (a+b x)}+\frac{B d^2 i^2 (a+b x) \log \left(\frac{e (a+b x)}{c+d x}\right)}{b^3 g^2}-\frac{B i^2 (b c-a d)^2}{b^3 g^2 (a+b x)}-\frac{B d i^2 (b c-a d) \log ^2(a+b x)}{b^3 g^2}-\frac{B d i^2 (b c-a d) \log (a+b x)}{b^3 g^2}+\frac{2 B d i^2 (b c-a d) \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{b^3 g^2}+\frac{A d^2 i^2 x}{b^2 g^2}","\frac{2 B d i^2 (b c-a d) \text{PolyLog}\left(2,\frac{b (c+d x)}{d (a+b x)}\right)}{b^3 g^2}+\frac{d^2 i^2 (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^3 g^2}-\frac{i^2 (c+d x) (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^2 g^2 (a+b x)}-\frac{2 d i^2 (b c-a d) \log \left(1-\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^3 g^2}-\frac{B i^2 (c+d x) (b c-a d)}{b^2 g^2 (a+b x)}-\frac{B d i^2 (b c-a d) \log (c+d x)}{b^3 g^2}",1,"(A*d^2*i^2*x)/(b^2*g^2) - (B*(b*c - a*d)^2*i^2)/(b^3*g^2*(a + b*x)) - (B*d*(b*c - a*d)*i^2*Log[a + b*x])/(b^3*g^2) - (B*d*(b*c - a*d)*i^2*Log[a + b*x]^2)/(b^3*g^2) + (B*d^2*i^2*(a + b*x)*Log[(e*(a + b*x))/(c + d*x)])/(b^3*g^2) - ((b*c - a*d)^2*i^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(b^3*g^2*(a + b*x)) + (2*d*(b*c - a*d)*i^2*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(b^3*g^2) + (2*B*d*(b*c - a*d)*i^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^3*g^2) + (2*B*d*(b*c - a*d)*i^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^3*g^2)","A",18,13,40,0.3250,1,"{2528, 2486, 31, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391}"
16,1,338,0,0.5892179,"\int \frac{(c i+d i x)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{(a g+b g x)^3} \, dx","Int[((c*i + d*i*x)^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(a*g + b*g*x)^3,x]","\frac{B d^2 i^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{b^3 g^3}+\frac{d^2 i^2 \log (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^3 g^3}-\frac{2 d i^2 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^3 g^3 (a+b x)}-\frac{i^2 (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 b^3 g^3 (a+b x)^2}+\frac{B d^2 i^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{b^3 g^3}-\frac{3 B d i^2 (b c-a d)}{2 b^3 g^3 (a+b x)}-\frac{B i^2 (b c-a d)^2}{4 b^3 g^3 (a+b x)^2}-\frac{B d^2 i^2 \log ^2(a+b x)}{2 b^3 g^3}-\frac{3 B d^2 i^2 \log (a+b x)}{2 b^3 g^3}+\frac{3 B d^2 i^2 \log (c+d x)}{2 b^3 g^3}","\frac{B d^2 i^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{d (a+b x)}\right)}{b^3 g^3}-\frac{d^2 i^2 \log \left(1-\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^3 g^3}-\frac{d i^2 (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^2 g^3 (a+b x)}-\frac{i^2 (c+d x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 b g^3 (a+b x)^2}-\frac{B d i^2 (c+d x)}{b^2 g^3 (a+b x)}-\frac{B i^2 (c+d x)^2}{4 b g^3 (a+b x)^2}",1,"-(B*(b*c - a*d)^2*i^2)/(4*b^3*g^3*(a + b*x)^2) - (3*B*d*(b*c - a*d)*i^2)/(2*b^3*g^3*(a + b*x)) - (3*B*d^2*i^2*Log[a + b*x])/(2*b^3*g^3) - (B*d^2*i^2*Log[a + b*x]^2)/(2*b^3*g^3) - ((b*c - a*d)^2*i^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(2*b^3*g^3*(a + b*x)^2) - (2*d*(b*c - a*d)*i^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(b^3*g^3*(a + b*x)) + (d^2*i^2*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(b^3*g^3) + (3*B*d^2*i^2*Log[c + d*x])/(2*b^3*g^3) + (B*d^2*i^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^3*g^3) + (B*d^2*i^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^3*g^3)","A",19,11,40,0.2750,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391}"
17,1,287,0,0.4899843,"\int \frac{(c i+d i x)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{(a g+b g x)^4} \, dx","Int[((c*i + d*i*x)^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(a*g + b*g*x)^4,x]","-\frac{d^2 i^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^3 g^4 (a+b x)}-\frac{d i^2 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^3 g^4 (a+b x)^2}-\frac{i^2 (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{3 b^3 g^4 (a+b x)^3}-\frac{B d^3 i^2 \log (a+b x)}{3 b^3 g^4 (b c-a d)}+\frac{B d^3 i^2 \log (c+d x)}{3 b^3 g^4 (b c-a d)}-\frac{B d i^2 (b c-a d)}{3 b^3 g^4 (a+b x)^2}-\frac{B i^2 (b c-a d)^2}{9 b^3 g^4 (a+b x)^3}-\frac{B d^2 i^2}{3 b^3 g^4 (a+b x)}","-\frac{i^2 (c+d x)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{3 g^4 (a+b x)^3 (b c-a d)}-\frac{B i^2 (c+d x)^3}{9 g^4 (a+b x)^3 (b c-a d)}",1,"-(B*(b*c - a*d)^2*i^2)/(9*b^3*g^4*(a + b*x)^3) - (B*d*(b*c - a*d)*i^2)/(3*b^3*g^4*(a + b*x)^2) - (B*d^2*i^2)/(3*b^3*g^4*(a + b*x)) - (B*d^3*i^2*Log[a + b*x])/(3*b^3*(b*c - a*d)*g^4) - ((b*c - a*d)^2*i^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(3*b^3*g^4*(a + b*x)^3) - (d*(b*c - a*d)*i^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(b^3*g^4*(a + b*x)^2) - (d^2*i^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(b^3*g^4*(a + b*x)) + (B*d^3*i^2*Log[c + d*x])/(3*b^3*(b*c - a*d)*g^4)","B",14,4,40,0.1000,1,"{2528, 2525, 12, 44}"
18,1,325,0,0.5713792,"\int \frac{(c i+d i x)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{(a g+b g x)^5} \, dx","Int[((c*i + d*i*x)^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(a*g + b*g*x)^5,x]","-\frac{d^2 i^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 b^3 g^5 (a+b x)^2}-\frac{2 d i^2 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{3 b^3 g^5 (a+b x)^3}-\frac{i^2 (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{4 b^3 g^5 (a+b x)^4}+\frac{B d^3 i^2}{12 b^3 g^5 (a+b x) (b c-a d)}+\frac{B d^4 i^2 \log (a+b x)}{12 b^3 g^5 (b c-a d)^2}-\frac{B d^4 i^2 \log (c+d x)}{12 b^3 g^5 (b c-a d)^2}-\frac{5 B d i^2 (b c-a d)}{36 b^3 g^5 (a+b x)^3}-\frac{B i^2 (b c-a d)^2}{16 b^3 g^5 (a+b x)^4}-\frac{B d^2 i^2}{24 b^3 g^5 (a+b x)^2}","-\frac{b i^2 (c+d x)^4 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{4 g^5 (a+b x)^4 (b c-a d)^2}+\frac{d i^2 (c+d x)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{3 g^5 (a+b x)^3 (b c-a d)^2}-\frac{b B i^2 (c+d x)^4}{16 g^5 (a+b x)^4 (b c-a d)^2}+\frac{B d i^2 (c+d x)^3}{9 g^5 (a+b x)^3 (b c-a d)^2}",1,"-(B*(b*c - a*d)^2*i^2)/(16*b^3*g^5*(a + b*x)^4) - (5*B*d*(b*c - a*d)*i^2)/(36*b^3*g^5*(a + b*x)^3) - (B*d^2*i^2)/(24*b^3*g^5*(a + b*x)^2) + (B*d^3*i^2)/(12*b^3*(b*c - a*d)*g^5*(a + b*x)) + (B*d^4*i^2*Log[a + b*x])/(12*b^3*(b*c - a*d)^2*g^5) - ((b*c - a*d)^2*i^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(4*b^3*g^5*(a + b*x)^4) - (2*d*(b*c - a*d)*i^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(3*b^3*g^5*(a + b*x)^3) - (d^2*i^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(2*b^3*g^5*(a + b*x)^2) - (B*d^4*i^2*Log[c + d*x])/(12*b^3*(b*c - a*d)^2*g^5)","A",14,4,40,0.1000,1,"{2528, 2525, 12, 44}"
19,1,359,0,0.6783214,"\int \frac{(c i+d i x)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{(a g+b g x)^6} \, dx","Int[((c*i + d*i*x)^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(a*g + b*g*x)^6,x]","-\frac{d^2 i^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{3 b^3 g^6 (a+b x)^3}-\frac{d i^2 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 b^3 g^6 (a+b x)^4}-\frac{i^2 (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{5 b^3 g^6 (a+b x)^5}-\frac{B d^4 i^2}{30 b^3 g^6 (a+b x) (b c-a d)^2}+\frac{B d^3 i^2}{60 b^3 g^6 (a+b x)^2 (b c-a d)}-\frac{B d^5 i^2 \log (a+b x)}{30 b^3 g^6 (b c-a d)^3}+\frac{B d^5 i^2 \log (c+d x)}{30 b^3 g^6 (b c-a d)^3}-\frac{3 B d i^2 (b c-a d)}{40 b^3 g^6 (a+b x)^4}-\frac{B i^2 (b c-a d)^2}{25 b^3 g^6 (a+b x)^5}-\frac{B d^2 i^2}{90 b^3 g^6 (a+b x)^3}","-\frac{b^2 i^2 (c+d x)^5 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{5 g^6 (a+b x)^5 (b c-a d)^3}-\frac{d^2 i^2 (c+d x)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{3 g^6 (a+b x)^3 (b c-a d)^3}+\frac{b d i^2 (c+d x)^4 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 g^6 (a+b x)^4 (b c-a d)^3}-\frac{b^2 B i^2 (c+d x)^5}{25 g^6 (a+b x)^5 (b c-a d)^3}-\frac{B d^2 i^2 (c+d x)^3}{9 g^6 (a+b x)^3 (b c-a d)^3}+\frac{b B d i^2 (c+d x)^4}{8 g^6 (a+b x)^4 (b c-a d)^3}",1,"-(B*(b*c - a*d)^2*i^2)/(25*b^3*g^6*(a + b*x)^5) - (3*B*d*(b*c - a*d)*i^2)/(40*b^3*g^6*(a + b*x)^4) - (B*d^2*i^2)/(90*b^3*g^6*(a + b*x)^3) + (B*d^3*i^2)/(60*b^3*(b*c - a*d)*g^6*(a + b*x)^2) - (B*d^4*i^2)/(30*b^3*(b*c - a*d)^2*g^6*(a + b*x)) - (B*d^5*i^2*Log[a + b*x])/(30*b^3*(b*c - a*d)^3*g^6) - ((b*c - a*d)^2*i^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(5*b^3*g^6*(a + b*x)^5) - (d*(b*c - a*d)*i^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(2*b^3*g^6*(a + b*x)^4) - (d^2*i^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(3*b^3*g^6*(a + b*x)^3) + (B*d^5*i^2*Log[c + d*x])/(30*b^3*(b*c - a*d)^3*g^6)","A",14,4,40,0.1000,1,"{2528, 2525, 12, 44}"
20,1,416,0,0.944784,"\int (a g+b g x)^3 (c i+d i x)^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \, dx","Int[(a*g + b*g*x)^3*(c*i + d*i*x)^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]),x]","\frac{d^2 g^3 i^3 (a+b x)^6 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 b^4}+\frac{d^3 g^3 i^3 (a+b x)^7 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{7 b^4}+\frac{g^3 i^3 (a+b x)^4 (b c-a d)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{4 b^4}+\frac{3 d g^3 i^3 (a+b x)^5 (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{5 b^4}-\frac{B g^3 i^3 x (b c-a d)^6}{140 b^3 d^3}+\frac{B g^3 i^3 (a+b x)^2 (b c-a d)^5}{280 b^4 d^2}-\frac{B d^2 g^3 i^3 (a+b x)^6 (b c-a d)}{42 b^4}+\frac{B g^3 i^3 (b c-a d)^7 \log (c+d x)}{140 b^4 d^4}-\frac{B g^3 i^3 (a+b x)^3 (b c-a d)^4}{420 b^4 d}-\frac{17 B g^3 i^3 (a+b x)^4 (b c-a d)^3}{280 b^4}-\frac{B d g^3 i^3 (a+b x)^5 (b c-a d)^2}{14 b^4}","-\frac{b^2 g^3 i^3 (c+d x)^6 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 d^4}+\frac{b^3 g^3 i^3 (c+d x)^7 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{7 d^4}-\frac{g^3 i^3 (c+d x)^4 (b c-a d)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{4 d^4}+\frac{3 b g^3 i^3 (c+d x)^5 (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{5 d^4}+\frac{B g^3 i^3 x (b c-a d)^6}{140 b^3 d^3}+\frac{B g^3 i^3 (c+d x)^2 (b c-a d)^5}{280 b^2 d^4}-\frac{b^2 B g^3 i^3 (c+d x)^6 (b c-a d)}{42 d^4}+\frac{B g^3 i^3 (b c-a d)^7 \log \left(\frac{a+b x}{c+d x}\right)}{140 b^4 d^4}+\frac{B g^3 i^3 (b c-a d)^7 \log (c+d x)}{140 b^4 d^4}+\frac{B g^3 i^3 (c+d x)^3 (b c-a d)^4}{420 b d^4}-\frac{17 B g^3 i^3 (c+d x)^4 (b c-a d)^3}{280 d^4}+\frac{b B g^3 i^3 (c+d x)^5 (b c-a d)^2}{14 d^4}",1,"-(B*(b*c - a*d)^6*g^3*i^3*x)/(140*b^3*d^3) + (B*(b*c - a*d)^5*g^3*i^3*(a + b*x)^2)/(280*b^4*d^2) - (B*(b*c - a*d)^4*g^3*i^3*(a + b*x)^3)/(420*b^4*d) - (17*B*(b*c - a*d)^3*g^3*i^3*(a + b*x)^4)/(280*b^4) - (B*d*(b*c - a*d)^2*g^3*i^3*(a + b*x)^5)/(14*b^4) - (B*d^2*(b*c - a*d)*g^3*i^3*(a + b*x)^6)/(42*b^4) + ((b*c - a*d)^3*g^3*i^3*(a + b*x)^4*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(4*b^4) + (3*d*(b*c - a*d)^2*g^3*i^3*(a + b*x)^5*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(5*b^4) + (d^2*(b*c - a*d)*g^3*i^3*(a + b*x)^6*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(2*b^4) + (d^3*g^3*i^3*(a + b*x)^7*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(7*b^4) + (B*(b*c - a*d)^7*g^3*i^3*Log[c + d*x])/(140*b^4*d^4)","A",18,4,40,0.1000,1,"{2528, 2525, 12, 43}"
21,1,330,0,0.6747295,"\int (a g+b g x)^2 (c i+d i x)^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \, dx","Int[(a*g + b*g*x)^2*(c*i + d*i*x)^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]),x]","\frac{b^2 g^2 i^3 (c+d x)^6 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{6 d^3}+\frac{g^2 i^3 (c+d x)^4 (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{4 d^3}-\frac{2 b g^2 i^3 (c+d x)^5 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{5 d^3}-\frac{B g^2 i^3 x (b c-a d)^5}{60 b^3 d^2}-\frac{B g^2 i^3 (c+d x)^2 (b c-a d)^4}{120 b^2 d^3}-\frac{B g^2 i^3 (b c-a d)^6 \log (a+b x)}{60 b^4 d^3}-\frac{B g^2 i^3 (c+d x)^3 (b c-a d)^3}{180 b d^3}+\frac{7 B g^2 i^3 (c+d x)^4 (b c-a d)^2}{120 d^3}-\frac{b B g^2 i^3 (c+d x)^5 (b c-a d)}{30 d^3}","\frac{b^2 g^2 i^3 (c+d x)^6 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{6 d^3}+\frac{g^2 i^3 (c+d x)^4 (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{4 d^3}-\frac{2 b g^2 i^3 (c+d x)^5 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{5 d^3}-\frac{B g^2 i^3 x (b c-a d)^5}{60 b^3 d^2}-\frac{B g^2 i^3 (c+d x)^2 (b c-a d)^4}{120 b^2 d^3}-\frac{B g^2 i^3 (b c-a d)^6 \log \left(\frac{a+b x}{c+d x}\right)}{60 b^4 d^3}-\frac{B g^2 i^3 (b c-a d)^6 \log (c+d x)}{60 b^4 d^3}-\frac{B g^2 i^3 (c+d x)^3 (b c-a d)^3}{180 b d^3}+\frac{7 B g^2 i^3 (c+d x)^4 (b c-a d)^2}{120 d^3}-\frac{b B g^2 i^3 (c+d x)^5 (b c-a d)}{30 d^3}",1,"-(B*(b*c - a*d)^5*g^2*i^3*x)/(60*b^3*d^2) - (B*(b*c - a*d)^4*g^2*i^3*(c + d*x)^2)/(120*b^2*d^3) - (B*(b*c - a*d)^3*g^2*i^3*(c + d*x)^3)/(180*b*d^3) + (7*B*(b*c - a*d)^2*g^2*i^3*(c + d*x)^4)/(120*d^3) - (b*B*(b*c - a*d)*g^2*i^3*(c + d*x)^5)/(30*d^3) - (B*(b*c - a*d)^6*g^2*i^3*Log[a + b*x])/(60*b^4*d^3) + ((b*c - a*d)^2*g^2*i^3*(c + d*x)^4*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(4*d^3) - (2*b*(b*c - a*d)*g^2*i^3*(c + d*x)^5*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(5*d^3) + (b^2*g^2*i^3*(c + d*x)^6*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(6*d^3)","A",14,4,40,0.1000,1,"{2528, 2525, 12, 43}"
22,1,232,0,0.3406638,"\int (a g+b g x) (c i+d i x)^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \, dx","Int[(a*g + b*g*x)*(c*i + d*i*x)^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]),x]","-\frac{g i^3 (c+d x)^4 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{4 d^2}+\frac{b g i^3 (c+d x)^5 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{5 d^2}+\frac{B g i^3 (c+d x)^2 (b c-a d)^3}{40 b^2 d^2}+\frac{B g i^3 (b c-a d)^5 \log (a+b x)}{20 b^4 d^2}+\frac{B g i^3 x (b c-a d)^4}{20 b^3 d}+\frac{B g i^3 (c+d x)^3 (b c-a d)^2}{60 b d^2}-\frac{B g i^3 (c+d x)^4 (b c-a d)}{20 d^2}","-\frac{g i^3 (c+d x)^4 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{4 d^2}+\frac{b g i^3 (c+d x)^5 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{5 d^2}+\frac{B g i^3 (c+d x)^2 (b c-a d)^3}{40 b^2 d^2}+\frac{B g i^3 (b c-a d)^5 \log \left(\frac{a+b x}{c+d x}\right)}{20 b^4 d^2}+\frac{B g i^3 (b c-a d)^5 \log (c+d x)}{20 b^4 d^2}+\frac{B g i^3 x (b c-a d)^4}{20 b^3 d}+\frac{B g i^3 (c+d x)^3 (b c-a d)^2}{60 b d^2}-\frac{B g i^3 (c+d x)^4 (b c-a d)}{20 d^2}",1,"(B*(b*c - a*d)^4*g*i^3*x)/(20*b^3*d) + (B*(b*c - a*d)^3*g*i^3*(c + d*x)^2)/(40*b^2*d^2) + (B*(b*c - a*d)^2*g*i^3*(c + d*x)^3)/(60*b*d^2) - (B*(b*c - a*d)*g*i^3*(c + d*x)^4)/(20*d^2) + (B*(b*c - a*d)^5*g*i^3*Log[a + b*x])/(20*b^4*d^2) - ((b*c - a*d)*g*i^3*(c + d*x)^4*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(4*d^2) + (b*g*i^3*(c + d*x)^5*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(5*d^2)","A",10,4,38,0.1053,1,"{2528, 2525, 12, 43}"
23,1,149,0,0.0805712,"\int (c i+d i x)^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \, dx","Int[(c*i + d*i*x)^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]),x]","\frac{i^3 (c+d x)^4 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{4 d}-\frac{B i^3 x (b c-a d)^3}{4 b^3}-\frac{B i^3 (c+d x)^2 (b c-a d)^2}{8 b^2 d}-\frac{B i^3 (b c-a d)^4 \log (a+b x)}{4 b^4 d}-\frac{B i^3 (c+d x)^3 (b c-a d)}{12 b d}","\frac{i^3 (c+d x)^4 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{4 d}-\frac{B i^3 x (b c-a d)^3}{4 b^3}-\frac{B i^3 (c+d x)^2 (b c-a d)^2}{8 b^2 d}-\frac{B i^3 (b c-a d)^4 \log (a+b x)}{4 b^4 d}-\frac{B i^3 (c+d x)^3 (b c-a d)}{12 b d}",1,"-(B*(b*c - a*d)^3*i^3*x)/(4*b^3) - (B*(b*c - a*d)^2*i^3*(c + d*x)^2)/(8*b^2*d) - (B*(b*c - a*d)*i^3*(c + d*x)^3)/(12*b*d) - (B*(b*c - a*d)^4*i^3*Log[a + b*x])/(4*b^4*d) + (i^3*(c + d*x)^4*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(4*d)","A",4,3,30,0.1000,1,"{2525, 12, 43}"
24,1,436,0,0.6018408,"\int \frac{(c i+d i x)^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{a g+b g x} \, dx","Int[((c*i + d*i*x)^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(a*g + b*g*x),x]","\frac{B i^3 (b c-a d)^3 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{b^4 g}+\frac{i^3 (c+d x)^2 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 b^2 g}+\frac{i^3 (b c-a d)^3 \log (a g+b g x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^4 g}+\frac{A d i^3 x (b c-a d)^2}{b^3 g}+\frac{i^3 (c+d x)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{3 b g}+\frac{B d i^3 (a+b x) (b c-a d)^2 \log \left(\frac{e (a+b x)}{c+d x}\right)}{b^4 g}-\frac{B i^3 (c+d x)^2 (b c-a d)}{6 b^2 g}-\frac{5 B d i^3 x (b c-a d)^2}{6 b^3 g}-\frac{B i^3 (b c-a d)^3 \log ^2(g (a+b x))}{2 b^4 g}-\frac{5 B i^3 (b c-a d)^3 \log (a+b x)}{6 b^4 g}-\frac{B i^3 (b c-a d)^3 \log (c+d x)}{b^4 g}+\frac{B i^3 (b c-a d)^3 \log (a g+b g x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{b^4 g}","\frac{B i^3 (b c-a d)^3 \text{PolyLog}\left(2,\frac{b (c+d x)}{d (a+b x)}\right)}{b^4 g}+\frac{i^3 (c+d x)^2 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 b^2 g}+\frac{d i^3 (a+b x) (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^4 g}-\frac{i^3 (b c-a d)^3 \log \left(1-\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^4 g}+\frac{i^3 (c+d x)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{3 b g}-\frac{B i^3 (c+d x)^2 (b c-a d)}{6 b^2 g}-\frac{5 B d i^3 x (b c-a d)^2}{6 b^3 g}-\frac{5 B i^3 (b c-a d)^3 \log \left(\frac{a+b x}{c+d x}\right)}{6 b^4 g}-\frac{11 B i^3 (b c-a d)^3 \log (c+d x)}{6 b^4 g}",1,"(A*d*(b*c - a*d)^2*i^3*x)/(b^3*g) - (5*B*d*(b*c - a*d)^2*i^3*x)/(6*b^3*g) - (B*(b*c - a*d)*i^3*(c + d*x)^2)/(6*b^2*g) - (5*B*(b*c - a*d)^3*i^3*Log[a + b*x])/(6*b^4*g) - (B*(b*c - a*d)^3*i^3*Log[g*(a + b*x)]^2)/(2*b^4*g) + (B*d*(b*c - a*d)^2*i^3*(a + b*x)*Log[(e*(a + b*x))/(c + d*x)])/(b^4*g) + ((b*c - a*d)*i^3*(c + d*x)^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(2*b^2*g) + (i^3*(c + d*x)^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(3*b*g) - (B*(b*c - a*d)^3*i^3*Log[c + d*x])/(b^4*g) + ((b*c - a*d)^3*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[a*g + b*g*x])/(b^4*g) + (B*(b*c - a*d)^3*i^3*Log[(b*(c + d*x))/(b*c - a*d)]*Log[a*g + b*g*x])/(b^4*g) + (B*(b*c - a*d)^3*i^3*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^4*g)","A",23,13,40,0.3250,1,"{2528, 2486, 31, 2524, 12, 2418, 2390, 2301, 2394, 2393, 2391, 2525, 43}"
25,1,521,0,0.6956246,"\int \frac{(c i+d i x)^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{(a g+b g x)^2} \, dx","Int[((c*i + d*i*x)^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(a*g + b*g*x)^2,x]","\frac{3 B d i^3 (b c-a d)^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{b^4 g^2}-\frac{a^2 B d^3 i^3 \log (a+b x)}{2 b^4 g^2}+\frac{d^3 i^3 x^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 b^2 g^2}+\frac{3 d i^3 (b c-a d)^2 \log (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^4 g^2}-\frac{i^3 (b c-a d)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^4 g^2 (a+b x)}+\frac{A d^2 i^3 x (3 b c-2 a d)}{b^3 g^2}+\frac{B d^2 i^3 (a+b x) (3 b c-2 a d) \log \left(\frac{e (a+b x)}{c+d x}\right)}{b^4 g^2}-\frac{B d^2 i^3 x (b c-a d)}{2 b^3 g^2}-\frac{B i^3 (b c-a d)^3}{b^4 g^2 (a+b x)}-\frac{3 B d i^3 (b c-a d)^2 \log ^2(a+b x)}{2 b^4 g^2}-\frac{B d i^3 (b c-a d)^2 \log (a+b x)}{b^4 g^2}+\frac{B d i^3 (b c-a d)^2 \log (c+d x)}{b^4 g^2}-\frac{B d i^3 (3 b c-2 a d) (b c-a d) \log (c+d x)}{b^4 g^2}+\frac{3 B d i^3 (b c-a d)^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{b^4 g^2}+\frac{B c^2 d i^3 \log (c+d x)}{2 b^2 g^2}","\frac{3 B d i^3 (b c-a d)^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{d (a+b x)}\right)}{b^4 g^2}+\frac{2 d^2 i^3 (a+b x) (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^4 g^2}+\frac{d i^3 (c+d x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 b^2 g^2}-\frac{i^3 (c+d x) (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^3 g^2 (a+b x)}-\frac{3 d i^3 (b c-a d)^2 \log \left(1-\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^4 g^2}-\frac{B d^2 i^3 x (b c-a d)}{2 b^3 g^2}-\frac{B i^3 (c+d x) (b c-a d)^2}{b^3 g^2 (a+b x)}-\frac{B d i^3 (b c-a d)^2 \log \left(\frac{a+b x}{c+d x}\right)}{2 b^4 g^2}-\frac{5 B d i^3 (b c-a d)^2 \log (c+d x)}{2 b^4 g^2}",1,"(A*d^2*(3*b*c - 2*a*d)*i^3*x)/(b^3*g^2) - (B*d^2*(b*c - a*d)*i^3*x)/(2*b^3*g^2) - (B*(b*c - a*d)^3*i^3)/(b^4*g^2*(a + b*x)) - (a^2*B*d^3*i^3*Log[a + b*x])/(2*b^4*g^2) - (B*d*(b*c - a*d)^2*i^3*Log[a + b*x])/(b^4*g^2) - (3*B*d*(b*c - a*d)^2*i^3*Log[a + b*x]^2)/(2*b^4*g^2) + (B*d^2*(3*b*c - 2*a*d)*i^3*(a + b*x)*Log[(e*(a + b*x))/(c + d*x)])/(b^4*g^2) + (d^3*i^3*x^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(2*b^2*g^2) - ((b*c - a*d)^3*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(b^4*g^2*(a + b*x)) + (3*d*(b*c - a*d)^2*i^3*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(b^4*g^2) + (B*c^2*d*i^3*Log[c + d*x])/(2*b^2*g^2) - (B*d*(3*b*c - 2*a*d)*(b*c - a*d)*i^3*Log[c + d*x])/(b^4*g^2) + (B*d*(b*c - a*d)^2*i^3*Log[c + d*x])/(b^4*g^2) + (3*B*d*(b*c - a*d)^2*i^3*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^4*g^2) + (3*B*d*(b*c - a*d)^2*i^3*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^4*g^2)","A",22,14,40,0.3500,1,"{2528, 2486, 31, 2525, 12, 72, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391}"
26,1,442,0,0.7175275,"\int \frac{(c i+d i x)^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{(a g+b g x)^3} \, dx","Int[((c*i + d*i*x)^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(a*g + b*g*x)^3,x]","\frac{3 B d^2 i^3 (b c-a d) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{b^4 g^3}+\frac{3 d^2 i^3 (b c-a d) \log (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^4 g^3}-\frac{3 d i^3 (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^4 g^3 (a+b x)}-\frac{i^3 (b c-a d)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 b^4 g^3 (a+b x)^2}+\frac{B d^3 i^3 (a+b x) \log \left(\frac{e (a+b x)}{c+d x}\right)}{b^4 g^3}-\frac{3 B d^2 i^3 (b c-a d) \log ^2(a+b x)}{2 b^4 g^3}-\frac{5 B d^2 i^3 (b c-a d) \log (a+b x)}{2 b^4 g^3}+\frac{3 B d^2 i^3 (b c-a d) \log (c+d x)}{2 b^4 g^3}+\frac{3 B d^2 i^3 (b c-a d) \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{b^4 g^3}-\frac{5 B d i^3 (b c-a d)^2}{2 b^4 g^3 (a+b x)}-\frac{B i^3 (b c-a d)^3}{4 b^4 g^3 (a+b x)^2}+\frac{A d^3 i^3 x}{b^3 g^3}","\frac{3 B d^2 i^3 (b c-a d) \text{PolyLog}\left(2,\frac{b (c+d x)}{d (a+b x)}\right)}{b^4 g^3}+\frac{d^3 i^3 (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^4 g^3}-\frac{3 d^2 i^3 (b c-a d) \log \left(1-\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^4 g^3}-\frac{i^3 (c+d x)^2 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 b^2 g^3 (a+b x)^2}-\frac{2 d i^3 (c+d x) (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^3 g^3 (a+b x)}-\frac{B d^2 i^3 (b c-a d) \log (c+d x)}{b^4 g^3}-\frac{B i^3 (c+d x)^2 (b c-a d)}{4 b^2 g^3 (a+b x)^2}-\frac{2 B d i^3 (c+d x) (b c-a d)}{b^3 g^3 (a+b x)}",1,"(A*d^3*i^3*x)/(b^3*g^3) - (B*(b*c - a*d)^3*i^3)/(4*b^4*g^3*(a + b*x)^2) - (5*B*d*(b*c - a*d)^2*i^3)/(2*b^4*g^3*(a + b*x)) - (5*B*d^2*(b*c - a*d)*i^3*Log[a + b*x])/(2*b^4*g^3) - (3*B*d^2*(b*c - a*d)*i^3*Log[a + b*x]^2)/(2*b^4*g^3) + (B*d^3*i^3*(a + b*x)*Log[(e*(a + b*x))/(c + d*x)])/(b^4*g^3) - ((b*c - a*d)^3*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(2*b^4*g^3*(a + b*x)^2) - (3*d*(b*c - a*d)^2*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(b^4*g^3*(a + b*x)) + (3*d^2*(b*c - a*d)*i^3*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(b^4*g^3) + (3*B*d^2*(b*c - a*d)*i^3*Log[c + d*x])/(2*b^4*g^3) + (3*B*d^2*(b*c - a*d)*i^3*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^4*g^3) + (3*B*d^2*(b*c - a*d)*i^3*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^4*g^3)","A",22,13,40,0.3250,1,"{2528, 2486, 31, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391}"
27,1,424,0,0.7818857,"\int \frac{(c i+d i x)^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{(a g+b g x)^4} \, dx","Int[((c*i + d*i*x)^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(a*g + b*g*x)^4,x]","\frac{B d^3 i^3 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{b^4 g^4}+\frac{d^3 i^3 \log (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^4 g^4}-\frac{3 d^2 i^3 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^4 g^4 (a+b x)}-\frac{3 d i^3 (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 b^4 g^4 (a+b x)^2}-\frac{i^3 (b c-a d)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{3 b^4 g^4 (a+b x)^3}-\frac{11 B d^2 i^3 (b c-a d)}{6 b^4 g^4 (a+b x)}+\frac{B d^3 i^3 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{b^4 g^4}-\frac{7 B d i^3 (b c-a d)^2}{12 b^4 g^4 (a+b x)^2}-\frac{B i^3 (b c-a d)^3}{9 b^4 g^4 (a+b x)^3}-\frac{B d^3 i^3 \log ^2(a+b x)}{2 b^4 g^4}-\frac{11 B d^3 i^3 \log (a+b x)}{6 b^4 g^4}+\frac{11 B d^3 i^3 \log (c+d x)}{6 b^4 g^4}","\frac{B d^3 i^3 \text{PolyLog}\left(2,\frac{b (c+d x)}{d (a+b x)}\right)}{b^4 g^4}-\frac{d^2 i^3 (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^3 g^4 (a+b x)}-\frac{d^3 i^3 \log \left(1-\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^4 g^4}-\frac{d i^3 (c+d x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 b^2 g^4 (a+b x)^2}-\frac{i^3 (c+d x)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{3 b g^4 (a+b x)^3}-\frac{B d^2 i^3 (c+d x)}{b^3 g^4 (a+b x)}-\frac{B d i^3 (c+d x)^2}{4 b^2 g^4 (a+b x)^2}-\frac{B i^3 (c+d x)^3}{9 b g^4 (a+b x)^3}",1,"-(B*(b*c - a*d)^3*i^3)/(9*b^4*g^4*(a + b*x)^3) - (7*B*d*(b*c - a*d)^2*i^3)/(12*b^4*g^4*(a + b*x)^2) - (11*B*d^2*(b*c - a*d)*i^3)/(6*b^4*g^4*(a + b*x)) - (11*B*d^3*i^3*Log[a + b*x])/(6*b^4*g^4) - (B*d^3*i^3*Log[a + b*x]^2)/(2*b^4*g^4) - ((b*c - a*d)^3*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(3*b^4*g^4*(a + b*x)^3) - (3*d*(b*c - a*d)^2*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(2*b^4*g^4*(a + b*x)^2) - (3*d^2*(b*c - a*d)*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(b^4*g^4*(a + b*x)) + (d^3*i^3*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(b^4*g^4) + (11*B*d^3*i^3*Log[c + d*x])/(6*b^4*g^4) + (B*d^3*i^3*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^4*g^4) + (B*d^3*i^3*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^4*g^4)","A",23,11,40,0.2750,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391}"
28,1,373,0,0.72228,"\int \frac{(c i+d i x)^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{(a g+b g x)^5} \, dx","Int[((c*i + d*i*x)^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(a*g + b*g*x)^5,x]","-\frac{d^3 i^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^4 g^5 (a+b x)}-\frac{3 d^2 i^3 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 b^4 g^5 (a+b x)^2}-\frac{d i^3 (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^4 g^5 (a+b x)^3}-\frac{i^3 (b c-a d)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{4 b^4 g^5 (a+b x)^4}-\frac{3 B d^2 i^3 (b c-a d)}{8 b^4 g^5 (a+b x)^2}-\frac{B d^4 i^3 \log (a+b x)}{4 b^4 g^5 (b c-a d)}+\frac{B d^4 i^3 \log (c+d x)}{4 b^4 g^5 (b c-a d)}-\frac{B d i^3 (b c-a d)^2}{4 b^4 g^5 (a+b x)^3}-\frac{B i^3 (b c-a d)^3}{16 b^4 g^5 (a+b x)^4}-\frac{B d^3 i^3}{4 b^4 g^5 (a+b x)}","-\frac{i^3 (c+d x)^4 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{4 g^5 (a+b x)^4 (b c-a d)}-\frac{B i^3 (c+d x)^4}{16 g^5 (a+b x)^4 (b c-a d)}",1,"-(B*(b*c - a*d)^3*i^3)/(16*b^4*g^5*(a + b*x)^4) - (B*d*(b*c - a*d)^2*i^3)/(4*b^4*g^5*(a + b*x)^3) - (3*B*d^2*(b*c - a*d)*i^3)/(8*b^4*g^5*(a + b*x)^2) - (B*d^3*i^3)/(4*b^4*g^5*(a + b*x)) - (B*d^4*i^3*Log[a + b*x])/(4*b^4*(b*c - a*d)*g^5) - ((b*c - a*d)^3*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(4*b^4*g^5*(a + b*x)^4) - (d*(b*c - a*d)^2*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(b^4*g^5*(a + b*x)^3) - (3*d^2*(b*c - a*d)*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(2*b^4*g^5*(a + b*x)^2) - (d^3*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(b^4*g^5*(a + b*x)) + (B*d^4*i^3*Log[c + d*x])/(4*b^4*(b*c - a*d)*g^5)","B",18,4,40,0.1000,1,"{2528, 2525, 12, 44}"
29,1,409,0,0.8651675,"\int \frac{(c i+d i x)^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{(a g+b g x)^6} \, dx","Int[((c*i + d*i*x)^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(a*g + b*g*x)^6,x]","-\frac{d^3 i^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 b^4 g^6 (a+b x)^2}-\frac{d^2 i^3 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^4 g^6 (a+b x)^3}-\frac{3 d i^3 (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{4 b^4 g^6 (a+b x)^4}-\frac{i^3 (b c-a d)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{5 b^4 g^6 (a+b x)^5}+\frac{B d^4 i^3}{20 b^4 g^6 (a+b x) (b c-a d)}-\frac{3 B d^2 i^3 (b c-a d)}{20 b^4 g^6 (a+b x)^3}+\frac{B d^5 i^3 \log (a+b x)}{20 b^4 g^6 (b c-a d)^2}-\frac{B d^5 i^3 \log (c+d x)}{20 b^4 g^6 (b c-a d)^2}-\frac{11 B d i^3 (b c-a d)^2}{80 b^4 g^6 (a+b x)^4}-\frac{B i^3 (b c-a d)^3}{25 b^4 g^6 (a+b x)^5}-\frac{B d^3 i^3}{40 b^4 g^6 (a+b x)^2}","-\frac{b i^3 (c+d x)^5 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{5 g^6 (a+b x)^5 (b c-a d)^2}+\frac{d i^3 (c+d x)^4 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{4 g^6 (a+b x)^4 (b c-a d)^2}-\frac{b B i^3 (c+d x)^5}{25 g^6 (a+b x)^5 (b c-a d)^2}+\frac{B d i^3 (c+d x)^4}{16 g^6 (a+b x)^4 (b c-a d)^2}",1,"-(B*(b*c - a*d)^3*i^3)/(25*b^4*g^6*(a + b*x)^5) - (11*B*d*(b*c - a*d)^2*i^3)/(80*b^4*g^6*(a + b*x)^4) - (3*B*d^2*(b*c - a*d)*i^3)/(20*b^4*g^6*(a + b*x)^3) - (B*d^3*i^3)/(40*b^4*g^6*(a + b*x)^2) + (B*d^4*i^3)/(20*b^4*(b*c - a*d)*g^6*(a + b*x)) + (B*d^5*i^3*Log[a + b*x])/(20*b^4*(b*c - a*d)^2*g^6) - ((b*c - a*d)^3*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(5*b^4*g^6*(a + b*x)^5) - (3*d*(b*c - a*d)^2*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(4*b^4*g^6*(a + b*x)^4) - (d^2*(b*c - a*d)*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(b^4*g^6*(a + b*x)^3) - (d^3*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(2*b^4*g^6*(a + b*x)^2) - (B*d^5*i^3*Log[c + d*x])/(20*b^4*(b*c - a*d)^2*g^6)","B",18,4,40,0.1000,1,"{2528, 2525, 12, 44}"
30,1,445,0,0.9757179,"\int \frac{(c i+d i x)^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{(a g+b g x)^7} \, dx","Int[((c*i + d*i*x)^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(a*g + b*g*x)^7,x]","-\frac{d^3 i^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{3 b^4 g^7 (a+b x)^3}-\frac{3 d^2 i^3 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{4 b^4 g^7 (a+b x)^4}-\frac{3 d i^3 (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{5 b^4 g^7 (a+b x)^5}-\frac{i^3 (b c-a d)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{6 b^4 g^7 (a+b x)^6}-\frac{B d^5 i^3}{60 b^4 g^7 (a+b x) (b c-a d)^2}+\frac{B d^4 i^3}{120 b^4 g^7 (a+b x)^2 (b c-a d)}-\frac{19 B d^2 i^3 (b c-a d)}{240 b^4 g^7 (a+b x)^4}-\frac{B d^6 i^3 \log (a+b x)}{60 b^4 g^7 (b c-a d)^3}+\frac{B d^6 i^3 \log (c+d x)}{60 b^4 g^7 (b c-a d)^3}-\frac{13 B d i^3 (b c-a d)^2}{150 b^4 g^7 (a+b x)^5}-\frac{B i^3 (b c-a d)^3}{36 b^4 g^7 (a+b x)^6}-\frac{B d^3 i^3}{180 b^4 g^7 (a+b x)^3}","-\frac{b^2 i^3 (c+d x)^6 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{6 g^7 (a+b x)^6 (b c-a d)^3}-\frac{d^2 i^3 (c+d x)^4 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{4 g^7 (a+b x)^4 (b c-a d)^3}+\frac{2 b d i^3 (c+d x)^5 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{5 g^7 (a+b x)^5 (b c-a d)^3}-\frac{b^2 B i^3 (c+d x)^6}{36 g^7 (a+b x)^6 (b c-a d)^3}-\frac{B d^2 i^3 (c+d x)^4}{16 g^7 (a+b x)^4 (b c-a d)^3}+\frac{2 b B d i^3 (c+d x)^5}{25 g^7 (a+b x)^5 (b c-a d)^3}",1,"-(B*(b*c - a*d)^3*i^3)/(36*b^4*g^7*(a + b*x)^6) - (13*B*d*(b*c - a*d)^2*i^3)/(150*b^4*g^7*(a + b*x)^5) - (19*B*d^2*(b*c - a*d)*i^3)/(240*b^4*g^7*(a + b*x)^4) - (B*d^3*i^3)/(180*b^4*g^7*(a + b*x)^3) + (B*d^4*i^3)/(120*b^4*(b*c - a*d)*g^7*(a + b*x)^2) - (B*d^5*i^3)/(60*b^4*(b*c - a*d)^2*g^7*(a + b*x)) - (B*d^6*i^3*Log[a + b*x])/(60*b^4*(b*c - a*d)^3*g^7) - ((b*c - a*d)^3*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(6*b^4*g^7*(a + b*x)^6) - (3*d*(b*c - a*d)^2*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(5*b^4*g^7*(a + b*x)^5) - (3*d^2*(b*c - a*d)*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(4*b^4*g^7*(a + b*x)^4) - (d^3*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(3*b^4*g^7*(a + b*x)^3) + (B*d^6*i^3*Log[c + d*x])/(60*b^4*(b*c - a*d)^3*g^7)","A",18,4,40,0.1000,1,"{2528, 2525, 12, 44}"
31,1,408,0,0.6255475,"\int \frac{(a g+b g x)^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{c i+d i x} \, dx","Int[((a*g + b*g*x)^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(c*i + d*i*x),x]","\frac{B g^3 (b c-a d)^3 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^4 i}-\frac{g^3 (a+b x)^2 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 d^2 i}-\frac{g^3 (b c-a d)^3 \log (c i+d i x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{d^4 i}+\frac{g^3 (a+b x)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{3 d i}+\frac{A b g^3 x (b c-a d)^2}{d^3 i}+\frac{B g^3 (a+b x) (b c-a d)^2 \log \left(\frac{e (a+b x)}{c+d x}\right)}{d^3 i}-\frac{B g^3 (a+b x)^2 (b c-a d)}{6 d^2 i}+\frac{5 b B g^3 x (b c-a d)^2}{6 d^3 i}-\frac{B g^3 (b c-a d)^3 \log ^2(i (c+d x))}{2 d^4 i}-\frac{11 B g^3 (b c-a d)^3 \log (c+d x)}{6 d^4 i}+\frac{B g^3 (b c-a d)^3 \log (c i+d i x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{d^4 i}","\frac{B g^3 (b c-a d)^3 \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{d^4 i}-\frac{g^3 (a+b x)^2 (b c-a d) \left(3 B \log \left(\frac{e (a+b x)}{c+d x}\right)+3 A+B\right)}{6 d^2 i}+\frac{g^3 (a+b x) (b c-a d)^2 \left(6 B \log \left(\frac{e (a+b x)}{c+d x}\right)+6 A+5 B\right)}{6 d^3 i}+\frac{g^3 (b c-a d)^3 \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(6 B \log \left(\frac{e (a+b x)}{c+d x}\right)+6 A+11 B\right)}{6 d^4 i}+\frac{g^3 (a+b x)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{3 d i}",1,"(A*b*(b*c - a*d)^2*g^3*x)/(d^3*i) + (5*b*B*(b*c - a*d)^2*g^3*x)/(6*d^3*i) - (B*(b*c - a*d)*g^3*(a + b*x)^2)/(6*d^2*i) + (B*(b*c - a*d)^2*g^3*(a + b*x)*Log[(e*(a + b*x))/(c + d*x)])/(d^3*i) - ((b*c - a*d)*g^3*(a + b*x)^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(2*d^2*i) + (g^3*(a + b*x)^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(3*d*i) - (11*B*(b*c - a*d)^3*g^3*Log[c + d*x])/(6*d^4*i) - (B*(b*c - a*d)^3*g^3*Log[i*(c + d*x)]^2)/(2*d^4*i) + (B*(b*c - a*d)^3*g^3*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c*i + d*i*x])/(d^4*i) - ((b*c - a*d)^3*g^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c*i + d*i*x])/(d^4*i) + (B*(b*c - a*d)^3*g^3*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^4*i)","A",23,13,40,0.3250,1,"{2528, 2486, 31, 2525, 12, 43, 2524, 2418, 2394, 2393, 2391, 2390, 2301}"
32,1,329,0,0.4873271,"\int \frac{(a g+b g x)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{c i+d i x} \, dx","Int[((a*g + b*g*x)^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(c*i + d*i*x),x]","-\frac{B g^2 (b c-a d)^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^3 i}+\frac{g^2 (b c-a d)^2 \log (c i+d i x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{d^3 i}+\frac{g^2 (a+b x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 d i}-\frac{A b g^2 x (b c-a d)}{d^2 i}-\frac{B g^2 (a+b x) (b c-a d) \log \left(\frac{e (a+b x)}{c+d x}\right)}{d^2 i}-\frac{b B g^2 x (b c-a d)}{2 d^2 i}+\frac{B g^2 (b c-a d)^2 \log ^2(i (c+d x))}{2 d^3 i}+\frac{3 B g^2 (b c-a d)^2 \log (c+d x)}{2 d^3 i}-\frac{B g^2 (b c-a d)^2 \log (c i+d i x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{d^3 i}","-\frac{B g^2 (b c-a d)^2 \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{d^3 i}-\frac{g^2 (a+b x) (b c-a d) \left(2 B \log \left(\frac{e (a+b x)}{c+d x}\right)+2 A+B\right)}{2 d^2 i}-\frac{g^2 (b c-a d)^2 \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(2 B \log \left(\frac{e (a+b x)}{c+d x}\right)+2 A+3 B\right)}{2 d^3 i}+\frac{g^2 (a+b x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 d i}",1,"-((A*b*(b*c - a*d)*g^2*x)/(d^2*i)) - (b*B*(b*c - a*d)*g^2*x)/(2*d^2*i) - (B*(b*c - a*d)*g^2*(a + b*x)*Log[(e*(a + b*x))/(c + d*x)])/(d^2*i) + (g^2*(a + b*x)^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(2*d*i) + (3*B*(b*c - a*d)^2*g^2*Log[c + d*x])/(2*d^3*i) + (B*(b*c - a*d)^2*g^2*Log[i*(c + d*x)]^2)/(2*d^3*i) - (B*(b*c - a*d)^2*g^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c*i + d*i*x])/(d^3*i) + ((b*c - a*d)^2*g^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c*i + d*i*x])/(d^3*i) - (B*(b*c - a*d)^2*g^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^3*i)","A",19,13,40,0.3250,1,"{2528, 2486, 31, 2525, 12, 43, 2524, 2418, 2394, 2393, 2391, 2390, 2301}"
33,1,213,0,0.3549122,"\int \frac{(a g+b g x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{c i+d i x} \, dx","Int[((a*g + b*g*x)*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(c*i + d*i*x),x]","\frac{B g (b c-a d) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^2 i}-\frac{g (b c-a d) \log (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{d^2 i}-\frac{B g (b c-a d) \log ^2(c+d x)}{2 d^2 i}+\frac{B g (b c-a d) \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{d^2 i}-\frac{B g (b c-a d) \log (c+d x)}{d^2 i}+\frac{B g (a+b x) \log \left(\frac{e (a+b x)}{c+d x}\right)}{d i}+\frac{A b g x}{d i}","\frac{B g (b c-a d) \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{d^2 i}+\frac{g (b c-a d) \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A+B\right)}{d^2 i}+\frac{g (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{d i}",1,"(A*b*g*x)/(d*i) + (B*g*(a + b*x)*Log[(e*(a + b*x))/(c + d*x)])/(d*i) - (B*(b*c - a*d)*g*Log[c + d*x])/(d^2*i) + (B*(b*c - a*d)*g*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^2*i) - ((b*c - a*d)*g*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(d^2*i) - (B*(b*c - a*d)*g*Log[c + d*x]^2)/(2*d^2*i) + (B*(b*c - a*d)*g*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^2*i)","A",14,11,38,0.2895,1,"{2528, 2486, 31, 2524, 12, 2418, 2394, 2393, 2391, 2390, 2301}"
34,1,122,0,0.2154832,"\int \frac{A+B \log \left(\frac{e (a+b x)}{c+d x}\right)}{c i+d i x} \, dx","Int[(A + B*Log[(e*(a + b*x))/(c + d*x)])/(c*i + d*i*x),x]","-\frac{B \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d i}+\frac{\log (c i+d i x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{d i}-\frac{B \log (c i+d i x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{d i}+\frac{B \log ^2(i (c+d x))}{2 d i}","-\frac{B \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{d i}-\frac{\log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{d i}",1,"(B*Log[i*(c + d*x)]^2)/(2*d*i) - (B*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c*i + d*i*x])/(d*i) + ((A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c*i + d*i*x])/(d*i) - (B*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d*i)","A",10,8,30,0.2667,1,"{2524, 12, 2418, 2394, 2393, 2391, 2390, 2301}"
35,1,304,0,0.584468,"\int \frac{A+B \log \left(\frac{e (a+b x)}{c+d x}\right)}{(a g+b g x) (c i+d i x)} \, dx","Int[(A + B*Log[(e*(a + b*x))/(c + d*x)])/((a*g + b*g*x)*(c*i + d*i*x)),x]","\frac{B \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{g i (b c-a d)}+\frac{B \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{g i (b c-a d)}+\frac{\log (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g i (b c-a d)}-\frac{\log (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g i (b c-a d)}-\frac{B \log ^2(a+b x)}{2 g i (b c-a d)}-\frac{B \log ^2(c+d x)}{2 g i (b c-a d)}+\frac{B \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{g i (b c-a d)}+\frac{B \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{g i (b c-a d)}","\frac{\left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{2 B g i (b c-a d)}",1,"-(B*Log[a + b*x]^2)/(2*(b*c - a*d)*g*i) + (Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/((b*c - a*d)*g*i) + (B*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)*g*i) - ((A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/((b*c - a*d)*g*i) - (B*Log[c + d*x]^2)/(2*(b*c - a*d)*g*i) + (B*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)*g*i) + (B*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)*g*i) + (B*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)*g*i)","C",20,9,40,0.2250,1,"{2528, 2524, 12, 2418, 2390, 2301, 2394, 2393, 2391}"
36,1,437,0,0.7030458,"\int \frac{A+B \log \left(\frac{e (a+b x)}{c+d x}\right)}{(a g+b g x)^2 (c i+d i x)} \, dx","Int[(A + B*Log[(e*(a + b*x))/(c + d*x)])/((a*g + b*g*x)^2*(c*i + d*i*x)),x]","-\frac{B d \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{g^2 i (b c-a d)^2}-\frac{B d \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{g^2 i (b c-a d)^2}-\frac{d \log (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^2 i (b c-a d)^2}-\frac{B \log \left(\frac{e (a+b x)}{c+d x}\right)+A}{g^2 i (a+b x) (b c-a d)}+\frac{d \log (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^2 i (b c-a d)^2}-\frac{B}{g^2 i (a+b x) (b c-a d)}+\frac{B d \log ^2(a+b x)}{2 g^2 i (b c-a d)^2}+\frac{B d \log ^2(c+d x)}{2 g^2 i (b c-a d)^2}-\frac{B d \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{g^2 i (b c-a d)^2}-\frac{B d \log (a+b x)}{g^2 i (b c-a d)^2}-\frac{B d \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{g^2 i (b c-a d)^2}+\frac{B d \log (c+d x)}{g^2 i (b c-a d)^2}","-\frac{d \log \left(\frac{a+b x}{c+d x}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^2 i (b c-a d)^2}-\frac{b (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^2 i (a+b x) (b c-a d)^2}-\frac{b B (c+d x)}{g^2 i (a+b x) (b c-a d)^2}+\frac{B d \log ^2\left(\frac{a+b x}{c+d x}\right)}{2 g^2 i (b c-a d)^2}",1,"-(B/((b*c - a*d)*g^2*i*(a + b*x))) - (B*d*Log[a + b*x])/((b*c - a*d)^2*g^2*i) + (B*d*Log[a + b*x]^2)/(2*(b*c - a*d)^2*g^2*i) - (A + B*Log[(e*(a + b*x))/(c + d*x)])/((b*c - a*d)*g^2*i*(a + b*x)) - (d*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/((b*c - a*d)^2*g^2*i) + (B*d*Log[c + d*x])/((b*c - a*d)^2*g^2*i) - (B*d*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^2*g^2*i) + (d*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/((b*c - a*d)^2*g^2*i) + (B*d*Log[c + d*x]^2)/(2*(b*c - a*d)^2*g^2*i) - (B*d*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^2*g^2*i) - (B*d*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^2*g^2*i) - (B*d*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^2*g^2*i)","C",24,11,40,0.2750,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391}"
37,1,535,0,0.8770282,"\int \frac{A+B \log \left(\frac{e (a+b x)}{c+d x}\right)}{(a g+b g x)^3 (c i+d i x)} \, dx","Int[(A + B*Log[(e*(a + b*x))/(c + d*x)])/((a*g + b*g*x)^3*(c*i + d*i*x)),x]","\frac{B d^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{g^3 i (b c-a d)^3}+\frac{B d^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{g^3 i (b c-a d)^3}+\frac{d^2 \log (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^3 i (b c-a d)^3}-\frac{d^2 \log (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^3 i (b c-a d)^3}+\frac{d \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^3 i (a+b x) (b c-a d)^2}-\frac{B \log \left(\frac{e (a+b x)}{c+d x}\right)+A}{2 g^3 i (a+b x)^2 (b c-a d)}-\frac{B d^2 \log ^2(a+b x)}{2 g^3 i (b c-a d)^3}-\frac{B d^2 \log ^2(c+d x)}{2 g^3 i (b c-a d)^3}+\frac{3 B d^2 \log (a+b x)}{2 g^3 i (b c-a d)^3}+\frac{B d^2 \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{g^3 i (b c-a d)^3}-\frac{3 B d^2 \log (c+d x)}{2 g^3 i (b c-a d)^3}+\frac{B d^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{g^3 i (b c-a d)^3}+\frac{3 B d}{2 g^3 i (a+b x) (b c-a d)^2}-\frac{B}{4 g^3 i (a+b x)^2 (b c-a d)}","-\frac{b^2 (c+d x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 g^3 i (a+b x)^2 (b c-a d)^3}+\frac{d^2 \log \left(\frac{a+b x}{c+d x}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^3 i (b c-a d)^3}+\frac{2 b d (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^3 i (a+b x) (b c-a d)^3}-\frac{B d^2 \log ^2\left(\frac{a+b x}{c+d x}\right)}{2 g^3 i (b c-a d)^3}-\frac{B (c+d x)^2 \left(b-\frac{4 d (a+b x)}{c+d x}\right)^2}{4 g^3 i (a+b x)^2 (b c-a d)^3}",1,"-B/(4*(b*c - a*d)*g^3*i*(a + b*x)^2) + (3*B*d)/(2*(b*c - a*d)^2*g^3*i*(a + b*x)) + (3*B*d^2*Log[a + b*x])/(2*(b*c - a*d)^3*g^3*i) - (B*d^2*Log[a + b*x]^2)/(2*(b*c - a*d)^3*g^3*i) - (A + B*Log[(e*(a + b*x))/(c + d*x)])/(2*(b*c - a*d)*g^3*i*(a + b*x)^2) + (d*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/((b*c - a*d)^2*g^3*i*(a + b*x)) + (d^2*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/((b*c - a*d)^3*g^3*i) - (3*B*d^2*Log[c + d*x])/(2*(b*c - a*d)^3*g^3*i) + (B*d^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^3*g^3*i) - (d^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/((b*c - a*d)^3*g^3*i) - (B*d^2*Log[c + d*x]^2)/(2*(b*c - a*d)^3*g^3*i) + (B*d^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g^3*i) + (B*d^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^3*g^3*i) + (B*d^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g^3*i)","C",28,11,40,0.2750,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391}"
38,1,620,0,1.0781092,"\int \frac{A+B \log \left(\frac{e (a+b x)}{c+d x}\right)}{(a g+b g x)^4 (c i+d i x)} \, dx","Int[(A + B*Log[(e*(a + b*x))/(c + d*x)])/((a*g + b*g*x)^4*(c*i + d*i*x)),x]","-\frac{B d^3 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{g^4 i (b c-a d)^4}-\frac{B d^3 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{g^4 i (b c-a d)^4}-\frac{d^3 \log (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^4 i (b c-a d)^4}+\frac{d^3 \log (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^4 i (b c-a d)^4}-\frac{d^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^4 i (a+b x) (b c-a d)^3}+\frac{d \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 g^4 i (a+b x)^2 (b c-a d)^2}-\frac{B \log \left(\frac{e (a+b x)}{c+d x}\right)+A}{3 g^4 i (a+b x)^3 (b c-a d)}-\frac{11 B d^2}{6 g^4 i (a+b x) (b c-a d)^3}+\frac{B d^3 \log ^2(a+b x)}{2 g^4 i (b c-a d)^4}+\frac{B d^3 \log ^2(c+d x)}{2 g^4 i (b c-a d)^4}-\frac{11 B d^3 \log (a+b x)}{6 g^4 i (b c-a d)^4}-\frac{B d^3 \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{g^4 i (b c-a d)^4}+\frac{11 B d^3 \log (c+d x)}{6 g^4 i (b c-a d)^4}-\frac{B d^3 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{g^4 i (b c-a d)^4}+\frac{5 B d}{12 g^4 i (a+b x)^2 (b c-a d)^2}-\frac{B}{9 g^4 i (a+b x)^3 (b c-a d)}","\frac{3 b^2 d (c+d x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 g^4 i (a+b x)^2 (b c-a d)^4}-\frac{b^3 (c+d x)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{3 g^4 i (a+b x)^3 (b c-a d)^4}-\frac{d^3 \log \left(\frac{a+b x}{c+d x}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^4 i (b c-a d)^4}-\frac{3 b d^2 (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^4 i (a+b x) (b c-a d)^4}+\frac{3 b^2 B d (c+d x)^2}{4 g^4 i (a+b x)^2 (b c-a d)^4}-\frac{b^3 B (c+d x)^3}{9 g^4 i (a+b x)^3 (b c-a d)^4}-\frac{3 b B d^2 (c+d x)}{g^4 i (a+b x) (b c-a d)^4}+\frac{B d^3 \log ^2\left(\frac{a+b x}{c+d x}\right)}{2 g^4 i (b c-a d)^4}",1,"-B/(9*(b*c - a*d)*g^4*i*(a + b*x)^3) + (5*B*d)/(12*(b*c - a*d)^2*g^4*i*(a + b*x)^2) - (11*B*d^2)/(6*(b*c - a*d)^3*g^4*i*(a + b*x)) - (11*B*d^3*Log[a + b*x])/(6*(b*c - a*d)^4*g^4*i) + (B*d^3*Log[a + b*x]^2)/(2*(b*c - a*d)^4*g^4*i) - (A + B*Log[(e*(a + b*x))/(c + d*x)])/(3*(b*c - a*d)*g^4*i*(a + b*x)^3) + (d*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(2*(b*c - a*d)^2*g^4*i*(a + b*x)^2) - (d^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/((b*c - a*d)^3*g^4*i*(a + b*x)) - (d^3*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/((b*c - a*d)^4*g^4*i) + (11*B*d^3*Log[c + d*x])/(6*(b*c - a*d)^4*g^4*i) - (B*d^3*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^4*g^4*i) + (d^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/((b*c - a*d)^4*g^4*i) + (B*d^3*Log[c + d*x]^2)/(2*(b*c - a*d)^4*g^4*i) - (B*d^3*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^4*i) - (B*d^3*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^4*g^4*i) - (B*d^3*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^4*i)","C",32,11,40,0.2750,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391}"
39,1,519,0,0.727061,"\int \frac{(a g+b g x)^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{(c i+d i x)^2} \, dx","Int[((a*g + b*g*x)^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(c*i + d*i*x)^2,x]","-\frac{3 b B g^3 (b c-a d)^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^4 i^2}-\frac{a^2 b B g^3 \log (a+b x)}{2 d^2 i^2}+\frac{b^3 g^3 x^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 d^2 i^2}-\frac{A b^2 g^3 x (2 b c-3 a d)}{d^3 i^2}+\frac{g^3 (b c-a d)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{d^4 i^2 (c+d x)}+\frac{3 b g^3 (b c-a d)^2 \log (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{d^4 i^2}-\frac{b^2 B g^3 x (b c-a d)}{2 d^3 i^2}-\frac{b B g^3 (a+b x) (2 b c-3 a d) \log \left(\frac{e (a+b x)}{c+d x}\right)}{d^3 i^2}-\frac{B g^3 (b c-a d)^3}{d^4 i^2 (c+d x)}+\frac{3 b B g^3 (b c-a d)^2 \log ^2(c+d x)}{2 d^4 i^2}-\frac{b B g^3 (b c-a d)^2 \log (a+b x)}{d^4 i^2}-\frac{3 b B g^3 (b c-a d)^2 \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{d^4 i^2}+\frac{b B g^3 (b c-a d)^2 \log (c+d x)}{d^4 i^2}+\frac{b B g^3 (2 b c-3 a d) (b c-a d) \log (c+d x)}{d^4 i^2}+\frac{b^3 B c^2 g^3 \log (c+d x)}{2 d^4 i^2}","-\frac{3 b B g^3 (b c-a d)^2 \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{d^4 i^2}-\frac{g^3 (a+b x)^2 (b c-a d) \left(3 B \log \left(\frac{e (a+b x)}{c+d x}\right)+3 A+B\right)}{2 d^2 i^2 (c+d x)}-\frac{b g^3 (b c-a d)^2 \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(6 B \log \left(\frac{e (a+b x)}{c+d x}\right)+6 A+5 B\right)}{2 d^4 i^2}-\frac{g^3 (6 A+5 B) (a+b x) (b c-a d)^2}{2 d^3 i^2 (c+d x)}+\frac{g^3 (a+b x)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 d i^2 (c+d x)}-\frac{3 B g^3 (a+b x) (b c-a d)^2 \log \left(\frac{e (a+b x)}{c+d x}\right)}{d^3 i^2 (c+d x)}+\frac{3 B g^3 (a+b x) (b c-a d)^2}{d^3 i^2 (c+d x)}",1,"-((A*b^2*(2*b*c - 3*a*d)*g^3*x)/(d^3*i^2)) - (b^2*B*(b*c - a*d)*g^3*x)/(2*d^3*i^2) - (B*(b*c - a*d)^3*g^3)/(d^4*i^2*(c + d*x)) - (a^2*b*B*g^3*Log[a + b*x])/(2*d^2*i^2) - (b*B*(b*c - a*d)^2*g^3*Log[a + b*x])/(d^4*i^2) - (b*B*(2*b*c - 3*a*d)*g^3*(a + b*x)*Log[(e*(a + b*x))/(c + d*x)])/(d^3*i^2) + (b^3*g^3*x^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(2*d^2*i^2) + ((b*c - a*d)^3*g^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(d^4*i^2*(c + d*x)) + (b^3*B*c^2*g^3*Log[c + d*x])/(2*d^4*i^2) + (b*B*(2*b*c - 3*a*d)*(b*c - a*d)*g^3*Log[c + d*x])/(d^4*i^2) + (b*B*(b*c - a*d)^2*g^3*Log[c + d*x])/(d^4*i^2) - (3*b*B*(b*c - a*d)^2*g^3*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^4*i^2) + (3*b*(b*c - a*d)^2*g^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(d^4*i^2) + (3*b*B*(b*c - a*d)^2*g^3*Log[c + d*x]^2)/(2*d^4*i^2) - (3*b*B*(b*c - a*d)^2*g^3*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^4*i^2)","A",22,14,40,0.3500,1,"{2528, 2486, 31, 2525, 12, 72, 44, 2524, 2418, 2394, 2393, 2391, 2390, 2301}"
40,1,336,0,0.5324116,"\int \frac{(a g+b g x)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{(c i+d i x)^2} \, dx","Int[((a*g + b*g*x)^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(c*i + d*i*x)^2,x]","\frac{2 b B g^2 (b c-a d) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^3 i^2}-\frac{g^2 (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{d^3 i^2 (c+d x)}-\frac{2 b g^2 (b c-a d) \log (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{d^3 i^2}+\frac{b B g^2 (a+b x) \log \left(\frac{e (a+b x)}{c+d x}\right)}{d^2 i^2}+\frac{B g^2 (b c-a d)^2}{d^3 i^2 (c+d x)}-\frac{b B g^2 (b c-a d) \log ^2(c+d x)}{d^3 i^2}+\frac{b B g^2 (b c-a d) \log (a+b x)}{d^3 i^2}+\frac{2 b B g^2 (b c-a d) \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{d^3 i^2}-\frac{2 b B g^2 (b c-a d) \log (c+d x)}{d^3 i^2}+\frac{A b^2 g^2 x}{d^2 i^2}","\frac{2 b B g^2 (b c-a d) \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{d^3 i^2}+\frac{b g^2 (b c-a d) \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(2 B \log \left(\frac{e (a+b x)}{c+d x}\right)+2 A+B\right)}{d^3 i^2}+\frac{g^2 (2 A+B) (a+b x) (b c-a d)}{d^2 i^2 (c+d x)}+\frac{g^2 (a+b x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{d i^2 (c+d x)}+\frac{2 B g^2 (a+b x) (b c-a d) \log \left(\frac{e (a+b x)}{c+d x}\right)}{d^2 i^2 (c+d x)}-\frac{2 B g^2 (a+b x) (b c-a d)}{d^2 i^2 (c+d x)}",1,"(A*b^2*g^2*x)/(d^2*i^2) + (B*(b*c - a*d)^2*g^2)/(d^3*i^2*(c + d*x)) + (b*B*(b*c - a*d)*g^2*Log[a + b*x])/(d^3*i^2) + (b*B*g^2*(a + b*x)*Log[(e*(a + b*x))/(c + d*x)])/(d^2*i^2) - ((b*c - a*d)^2*g^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(d^3*i^2*(c + d*x)) - (2*b*B*(b*c - a*d)*g^2*Log[c + d*x])/(d^3*i^2) + (2*b*B*(b*c - a*d)*g^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^3*i^2) - (2*b*(b*c - a*d)*g^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(d^3*i^2) - (b*B*(b*c - a*d)*g^2*Log[c + d*x]^2)/(d^3*i^2) + (2*b*B*(b*c - a*d)*g^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^3*i^2)","A",18,13,40,0.3250,1,"{2528, 2486, 31, 2525, 12, 44, 2524, 2418, 2394, 2393, 2391, 2390, 2301}"
41,1,222,0,0.4032793,"\int \frac{(a g+b g x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{(c i+d i x)^2} \, dx","Int[((a*g + b*g*x)*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(c*i + d*i*x)^2,x]","-\frac{b B g \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^2 i^2}+\frac{b g \log (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{d^2 i^2}+\frac{g (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{d^2 i^2 (c+d x)}-\frac{B g (b c-a d)}{d^2 i^2 (c+d x)}-\frac{b B g \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{d^2 i^2}-\frac{b B g \log (a+b x)}{d^2 i^2}+\frac{b B g \log ^2(c+d x)}{2 d^2 i^2}+\frac{b B g \log (c+d x)}{d^2 i^2}","-\frac{b B g \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{d^2 i^2}-\frac{b g \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{d^2 i^2}-\frac{A g (a+b x)}{d i^2 (c+d x)}-\frac{B g (a+b x) \log \left(\frac{e (a+b x)}{c+d x}\right)}{d i^2 (c+d x)}+\frac{B g (a+b x)}{d i^2 (c+d x)}",1,"-((B*(b*c - a*d)*g)/(d^2*i^2*(c + d*x))) - (b*B*g*Log[a + b*x])/(d^2*i^2) + ((b*c - a*d)*g*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(d^2*i^2*(c + d*x)) + (b*B*g*Log[c + d*x])/(d^2*i^2) - (b*B*g*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^2*i^2) + (b*g*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(d^2*i^2) + (b*B*g*Log[c + d*x]^2)/(2*d^2*i^2) - (b*B*g*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^2*i^2)","A",15,11,38,0.2895,1,"{2528, 2525, 12, 44, 2524, 2418, 2394, 2393, 2391, 2390, 2301}"
42,1,101,0,0.0729925,"\int \frac{A+B \log \left(\frac{e (a+b x)}{c+d x}\right)}{(c i+d i x)^2} \, dx","Int[(A + B*Log[(e*(a + b*x))/(c + d*x)])/(c*i + d*i*x)^2,x]","-\frac{B \log \left(\frac{e (a+b x)}{c+d x}\right)+A}{d i^2 (c+d x)}+\frac{b B \log (a+b x)}{d i^2 (b c-a d)}-\frac{b B \log (c+d x)}{d i^2 (b c-a d)}+\frac{B}{d i^2 (c+d x)}","\frac{A (a+b x)}{i^2 (c+d x) (b c-a d)}+\frac{B (a+b x) \log \left(\frac{e (a+b x)}{c+d x}\right)}{i^2 (c+d x) (b c-a d)}-\frac{B (a+b x)}{i^2 (c+d x) (b c-a d)}",1,"B/(d*i^2*(c + d*x)) + (b*B*Log[a + b*x])/(d*(b*c - a*d)*i^2) - (A + B*Log[(e*(a + b*x))/(c + d*x)])/(d*i^2*(c + d*x)) - (b*B*Log[c + d*x])/(d*(b*c - a*d)*i^2)","A",4,3,30,0.1000,1,"{2525, 12, 44}"
43,1,432,0,0.7136458,"\int \frac{A+B \log \left(\frac{e (a+b x)}{c+d x}\right)}{(a g+b g x) (c i+d i x)^2} \, dx","Int[(A + B*Log[(e*(a + b*x))/(c + d*x)])/((a*g + b*g*x)*(c*i + d*i*x)^2),x]","\frac{b B \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{g i^2 (b c-a d)^2}+\frac{b B \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{g i^2 (b c-a d)^2}+\frac{b \log (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g i^2 (b c-a d)^2}+\frac{B \log \left(\frac{e (a+b x)}{c+d x}\right)+A}{g i^2 (c+d x) (b c-a d)}-\frac{b \log (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g i^2 (b c-a d)^2}-\frac{B}{g i^2 (c+d x) (b c-a d)}-\frac{b B \log ^2(a+b x)}{2 g i^2 (b c-a d)^2}-\frac{b B \log ^2(c+d x)}{2 g i^2 (b c-a d)^2}+\frac{b B \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{g i^2 (b c-a d)^2}-\frac{b B \log (a+b x)}{g i^2 (b c-a d)^2}+\frac{b B \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{g i^2 (b c-a d)^2}+\frac{b B \log (c+d x)}{g i^2 (b c-a d)^2}","\frac{b \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{2 B g i^2 (b c-a d)^2}-\frac{A d (a+b x)}{g i^2 (c+d x) (b c-a d)^2}-\frac{B d (a+b x) \log \left(\frac{e (a+b x)}{c+d x}\right)}{g i^2 (c+d x) (b c-a d)^2}+\frac{B d (a+b x)}{g i^2 (c+d x) (b c-a d)^2}",1,"-(B/((b*c - a*d)*g*i^2*(c + d*x))) - (b*B*Log[a + b*x])/((b*c - a*d)^2*g*i^2) - (b*B*Log[a + b*x]^2)/(2*(b*c - a*d)^2*g*i^2) + (A + B*Log[(e*(a + b*x))/(c + d*x)])/((b*c - a*d)*g*i^2*(c + d*x)) + (b*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/((b*c - a*d)^2*g*i^2) + (b*B*Log[c + d*x])/((b*c - a*d)^2*g*i^2) + (b*B*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^2*g*i^2) - (b*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/((b*c - a*d)^2*g*i^2) - (b*B*Log[c + d*x]^2)/(2*(b*c - a*d)^2*g*i^2) + (b*B*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^2*g*i^2) + (b*B*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^2*g*i^2) + (b*B*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^2*g*i^2)","C",24,11,40,0.2750,1,"{2528, 2524, 12, 2418, 2390, 2301, 2394, 2393, 2391, 2525, 44}"
44,1,462,0,0.8678146,"\int \frac{A+B \log \left(\frac{e (a+b x)}{c+d x}\right)}{(a g+b g x)^2 (c i+d i x)^2} \, dx","Int[(A + B*Log[(e*(a + b*x))/(c + d*x)])/((a*g + b*g*x)^2*(c*i + d*i*x)^2),x]","-\frac{2 b B d \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{g^2 i^2 (b c-a d)^3}-\frac{2 b B d \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{g^2 i^2 (b c-a d)^3}-\frac{2 b d \log (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^2 i^2 (b c-a d)^3}-\frac{b \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^2 i^2 (a+b x) (b c-a d)^2}-\frac{d \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^2 i^2 (c+d x) (b c-a d)^2}+\frac{2 b d \log (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^2 i^2 (b c-a d)^3}-\frac{b B}{g^2 i^2 (a+b x) (b c-a d)^2}+\frac{B d}{g^2 i^2 (c+d x) (b c-a d)^2}+\frac{b B d \log ^2(a+b x)}{g^2 i^2 (b c-a d)^3}+\frac{b B d \log ^2(c+d x)}{g^2 i^2 (b c-a d)^3}-\frac{2 b B d \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{g^2 i^2 (b c-a d)^3}-\frac{2 b B d \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{g^2 i^2 (b c-a d)^3}","-\frac{b^2 (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^2 i^2 (a+b x) (b c-a d)^3}+\frac{d^2 (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^2 i^2 (c+d x) (b c-a d)^3}-\frac{2 b d \log \left(\frac{a+b x}{c+d x}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^2 i^2 (b c-a d)^3}-\frac{b^2 B (c+d x)}{g^2 i^2 (a+b x) (b c-a d)^3}-\frac{B d^2 (a+b x)}{g^2 i^2 (c+d x) (b c-a d)^3}+\frac{b B d \log ^2\left(\frac{a+b x}{c+d x}\right)}{g^2 i^2 (b c-a d)^3}",1,"-((b*B)/((b*c - a*d)^2*g^2*i^2*(a + b*x))) + (B*d)/((b*c - a*d)^2*g^2*i^2*(c + d*x)) + (b*B*d*Log[a + b*x]^2)/((b*c - a*d)^3*g^2*i^2) - (b*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/((b*c - a*d)^2*g^2*i^2*(a + b*x)) - (d*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/((b*c - a*d)^2*g^2*i^2*(c + d*x)) - (2*b*d*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/((b*c - a*d)^3*g^2*i^2) - (2*b*B*d*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^3*g^2*i^2) + (2*b*d*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/((b*c - a*d)^3*g^2*i^2) + (b*B*d*Log[c + d*x]^2)/((b*c - a*d)^3*g^2*i^2) - (2*b*B*d*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g^2*i^2) - (2*b*B*d*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^3*g^2*i^2) - (2*b*B*d*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g^2*i^2)","C",28,11,40,0.2750,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391}"
45,1,630,0,1.1173064,"\int \frac{A+B \log \left(\frac{e (a+b x)}{c+d x}\right)}{(a g+b g x)^3 (c i+d i x)^2} \, dx","Int[(A + B*Log[(e*(a + b*x))/(c + d*x)])/((a*g + b*g*x)^3*(c*i + d*i*x)^2),x]","\frac{3 b B d^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{g^3 i^2 (b c-a d)^4}+\frac{3 b B d^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{g^3 i^2 (b c-a d)^4}+\frac{3 b d^2 \log (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^3 i^2 (b c-a d)^4}+\frac{d^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^3 i^2 (c+d x) (b c-a d)^3}-\frac{3 b d^2 \log (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^3 i^2 (b c-a d)^4}+\frac{2 b d \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^3 i^2 (a+b x) (b c-a d)^3}-\frac{b \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 g^3 i^2 (a+b x)^2 (b c-a d)^2}-\frac{B d^2}{g^3 i^2 (c+d x) (b c-a d)^3}-\frac{3 b B d^2 \log ^2(a+b x)}{2 g^3 i^2 (b c-a d)^4}-\frac{3 b B d^2 \log ^2(c+d x)}{2 g^3 i^2 (b c-a d)^4}+\frac{3 b B d^2 \log (a+b x)}{2 g^3 i^2 (b c-a d)^4}+\frac{3 b B d^2 \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{g^3 i^2 (b c-a d)^4}-\frac{3 b B d^2 \log (c+d x)}{2 g^3 i^2 (b c-a d)^4}+\frac{3 b B d^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{g^3 i^2 (b c-a d)^4}+\frac{5 b B d}{2 g^3 i^2 (a+b x) (b c-a d)^3}-\frac{b B}{4 g^3 i^2 (a+b x)^2 (b c-a d)^2}","-\frac{b^3 (c+d x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 g^3 i^2 (a+b x)^2 (b c-a d)^4}+\frac{3 b^2 d (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^3 i^2 (a+b x) (b c-a d)^4}+\frac{3 b d^2 \log \left(\frac{a+b x}{c+d x}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^3 i^2 (b c-a d)^4}-\frac{d^3 (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^3 i^2 (c+d x) (b c-a d)^4}-\frac{b^3 B (c+d x)^2}{4 g^3 i^2 (a+b x)^2 (b c-a d)^4}+\frac{3 b^2 B d (c+d x)}{g^3 i^2 (a+b x) (b c-a d)^4}+\frac{B d^3 (a+b x)}{g^3 i^2 (c+d x) (b c-a d)^4}-\frac{3 b B d^2 \log ^2\left(\frac{a+b x}{c+d x}\right)}{2 g^3 i^2 (b c-a d)^4}",1,"-(b*B)/(4*(b*c - a*d)^2*g^3*i^2*(a + b*x)^2) + (5*b*B*d)/(2*(b*c - a*d)^3*g^3*i^2*(a + b*x)) - (B*d^2)/((b*c - a*d)^3*g^3*i^2*(c + d*x)) + (3*b*B*d^2*Log[a + b*x])/(2*(b*c - a*d)^4*g^3*i^2) - (3*b*B*d^2*Log[a + b*x]^2)/(2*(b*c - a*d)^4*g^3*i^2) - (b*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(2*(b*c - a*d)^2*g^3*i^2*(a + b*x)^2) + (2*b*d*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/((b*c - a*d)^3*g^3*i^2*(a + b*x)) + (d^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/((b*c - a*d)^3*g^3*i^2*(c + d*x)) + (3*b*d^2*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/((b*c - a*d)^4*g^3*i^2) - (3*b*B*d^2*Log[c + d*x])/(2*(b*c - a*d)^4*g^3*i^2) + (3*b*B*d^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^4*g^3*i^2) - (3*b*d^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/((b*c - a*d)^4*g^3*i^2) - (3*b*B*d^2*Log[c + d*x]^2)/(2*(b*c - a*d)^4*g^3*i^2) + (3*b*B*d^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^3*i^2) + (3*b*B*d^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^4*g^3*i^2) + (3*b*B*d^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^3*i^2)","C",32,11,40,0.2750,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391}"
46,1,705,0,1.362807,"\int \frac{A+B \log \left(\frac{e (a+b x)}{c+d x}\right)}{(a g+b g x)^4 (c i+d i x)^2} \, dx","Int[(A + B*Log[(e*(a + b*x))/(c + d*x)])/((a*g + b*g*x)^4*(c*i + d*i*x)^2),x]","-\frac{4 b B d^3 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{g^4 i^2 (b c-a d)^5}-\frac{4 b B d^3 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{g^4 i^2 (b c-a d)^5}-\frac{4 b d^3 \log (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^4 i^2 (b c-a d)^5}-\frac{d^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^4 i^2 (c+d x) (b c-a d)^4}+\frac{4 b d^3 \log (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^4 i^2 (b c-a d)^5}-\frac{3 b d^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^4 i^2 (a+b x) (b c-a d)^4}+\frac{b d \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^4 i^2 (a+b x)^2 (b c-a d)^3}-\frac{b \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{3 g^4 i^2 (a+b x)^3 (b c-a d)^2}+\frac{B d^3}{g^4 i^2 (c+d x) (b c-a d)^4}-\frac{13 b B d^2}{3 g^4 i^2 (a+b x) (b c-a d)^4}+\frac{2 b B d^3 \log ^2(a+b x)}{g^4 i^2 (b c-a d)^5}+\frac{2 b B d^3 \log ^2(c+d x)}{g^4 i^2 (b c-a d)^5}-\frac{10 b B d^3 \log (a+b x)}{3 g^4 i^2 (b c-a d)^5}-\frac{4 b B d^3 \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{g^4 i^2 (b c-a d)^5}+\frac{10 b B d^3 \log (c+d x)}{3 g^4 i^2 (b c-a d)^5}-\frac{4 b B d^3 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{g^4 i^2 (b c-a d)^5}+\frac{2 b B d}{3 g^4 i^2 (a+b x)^2 (b c-a d)^3}-\frac{b B}{9 g^4 i^2 (a+b x)^3 (b c-a d)^2}","-\frac{6 b^2 d^2 (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^4 i^2 (a+b x) (b c-a d)^5}-\frac{b^4 (c+d x)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{3 g^4 i^2 (a+b x)^3 (b c-a d)^5}+\frac{2 b^3 d (c+d x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^4 i^2 (a+b x)^2 (b c-a d)^5}-\frac{4 b d^3 \log \left(\frac{a+b x}{c+d x}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^4 i^2 (b c-a d)^5}+\frac{d^4 (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^4 i^2 (c+d x) (b c-a d)^5}-\frac{6 b^2 B d^2 (c+d x)}{g^4 i^2 (a+b x) (b c-a d)^5}-\frac{b^4 B (c+d x)^3}{9 g^4 i^2 (a+b x)^3 (b c-a d)^5}+\frac{b^3 B d (c+d x)^2}{g^4 i^2 (a+b x)^2 (b c-a d)^5}-\frac{B d^4 (a+b x)}{g^4 i^2 (c+d x) (b c-a d)^5}+\frac{2 b B d^3 \log ^2\left(\frac{a+b x}{c+d x}\right)}{g^4 i^2 (b c-a d)^5}",1,"-(b*B)/(9*(b*c - a*d)^2*g^4*i^2*(a + b*x)^3) + (2*b*B*d)/(3*(b*c - a*d)^3*g^4*i^2*(a + b*x)^2) - (13*b*B*d^2)/(3*(b*c - a*d)^4*g^4*i^2*(a + b*x)) + (B*d^3)/((b*c - a*d)^4*g^4*i^2*(c + d*x)) - (10*b*B*d^3*Log[a + b*x])/(3*(b*c - a*d)^5*g^4*i^2) + (2*b*B*d^3*Log[a + b*x]^2)/((b*c - a*d)^5*g^4*i^2) - (b*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(3*(b*c - a*d)^2*g^4*i^2*(a + b*x)^3) + (b*d*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/((b*c - a*d)^3*g^4*i^2*(a + b*x)^2) - (3*b*d^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/((b*c - a*d)^4*g^4*i^2*(a + b*x)) - (d^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/((b*c - a*d)^4*g^4*i^2*(c + d*x)) - (4*b*d^3*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/((b*c - a*d)^5*g^4*i^2) + (10*b*B*d^3*Log[c + d*x])/(3*(b*c - a*d)^5*g^4*i^2) - (4*b*B*d^3*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^5*g^4*i^2) + (4*b*d^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/((b*c - a*d)^5*g^4*i^2) + (2*b*B*d^3*Log[c + d*x]^2)/((b*c - a*d)^5*g^4*i^2) - (4*b*B*d^3*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^5*g^4*i^2) - (4*b*B*d^3*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^5*g^4*i^2) - (4*b*B*d^3*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^5*g^4*i^2)","C",36,11,40,0.2750,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391}"
47,1,442,0,0.7337596,"\int \frac{(a g+b g x)^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{(c i+d i x)^3} \, dx","Int[((a*g + b*g*x)^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(c*i + d*i*x)^3,x]","\frac{3 b^2 B g^3 (b c-a d) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^4 i^3}-\frac{3 b^2 g^3 (b c-a d) \log (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{d^4 i^3}-\frac{3 b g^3 (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{d^4 i^3 (c+d x)}+\frac{g^3 (b c-a d)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 d^4 i^3 (c+d x)^2}+\frac{b^2 B g^3 (a+b x) \log \left(\frac{e (a+b x)}{c+d x}\right)}{d^3 i^3}-\frac{3 b^2 B g^3 (b c-a d) \log ^2(c+d x)}{2 d^4 i^3}+\frac{5 b^2 B g^3 (b c-a d) \log (a+b x)}{2 d^4 i^3}+\frac{3 b^2 B g^3 (b c-a d) \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{d^4 i^3}-\frac{7 b^2 B g^3 (b c-a d) \log (c+d x)}{2 d^4 i^3}+\frac{5 b B g^3 (b c-a d)^2}{2 d^4 i^3 (c+d x)}-\frac{B g^3 (b c-a d)^3}{4 d^4 i^3 (c+d x)^2}+\frac{A b^3 g^3 x}{d^3 i^3}","\frac{3 b^2 B g^3 (b c-a d) \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{d^4 i^3}+\frac{b^2 g^3 (b c-a d) \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(3 B \log \left(\frac{e (a+b x)}{c+d x}\right)+3 A+B\right)}{d^4 i^3}+\frac{g^3 (a+b x)^2 (b c-a d) \left(3 B \log \left(\frac{e (a+b x)}{c+d x}\right)+3 A+B\right)}{2 d^2 i^3 (c+d x)^2}+\frac{b g^3 (3 A+B) (a+b x) (b c-a d)}{d^3 i^3 (c+d x)}+\frac{g^3 (a+b x)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{d i^3 (c+d x)^2}+\frac{3 b B g^3 (a+b x) (b c-a d) \log \left(\frac{e (a+b x)}{c+d x}\right)}{d^3 i^3 (c+d x)}-\frac{3 b B g^3 (a+b x) (b c-a d)}{d^3 i^3 (c+d x)}-\frac{3 B g^3 (a+b x)^2 (b c-a d)}{4 d^2 i^3 (c+d x)^2}",1,"(A*b^3*g^3*x)/(d^3*i^3) - (B*(b*c - a*d)^3*g^3)/(4*d^4*i^3*(c + d*x)^2) + (5*b*B*(b*c - a*d)^2*g^3)/(2*d^4*i^3*(c + d*x)) + (5*b^2*B*(b*c - a*d)*g^3*Log[a + b*x])/(2*d^4*i^3) + (b^2*B*g^3*(a + b*x)*Log[(e*(a + b*x))/(c + d*x)])/(d^3*i^3) + ((b*c - a*d)^3*g^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(2*d^4*i^3*(c + d*x)^2) - (3*b*(b*c - a*d)^2*g^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(d^4*i^3*(c + d*x)) - (7*b^2*B*(b*c - a*d)*g^3*Log[c + d*x])/(2*d^4*i^3) + (3*b^2*B*(b*c - a*d)*g^3*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^4*i^3) - (3*b^2*(b*c - a*d)*g^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(d^4*i^3) - (3*b^2*B*(b*c - a*d)*g^3*Log[c + d*x]^2)/(2*d^4*i^3) + (3*b^2*B*(b*c - a*d)*g^3*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^4*i^3)","A",22,13,40,0.3250,1,"{2528, 2486, 31, 2525, 12, 44, 2524, 2418, 2394, 2393, 2391, 2390, 2301}"
48,1,340,0,0.6071387,"\int \frac{(a g+b g x)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{(c i+d i x)^3} \, dx","Int[((a*g + b*g*x)^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(c*i + d*i*x)^3,x]","-\frac{b^2 B g^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^3 i^3}+\frac{b^2 g^2 \log (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{d^3 i^3}+\frac{2 b g^2 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{d^3 i^3 (c+d x)}-\frac{g^2 (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 d^3 i^3 (c+d x)^2}-\frac{b^2 B g^2 \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{d^3 i^3}-\frac{3 b^2 B g^2 \log (a+b x)}{2 d^3 i^3}-\frac{3 b B g^2 (b c-a d)}{2 d^3 i^3 (c+d x)}+\frac{B g^2 (b c-a d)^2}{4 d^3 i^3 (c+d x)^2}+\frac{b^2 B g^2 \log ^2(c+d x)}{2 d^3 i^3}+\frac{3 b^2 B g^2 \log (c+d x)}{2 d^3 i^3}","-\frac{b^2 B g^2 \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{d^3 i^3}-\frac{b^2 g^2 \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{d^3 i^3}-\frac{g^2 (a+b x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 d i^3 (c+d x)^2}-\frac{A b g^2 (a+b x)}{d^2 i^3 (c+d x)}-\frac{b B g^2 (a+b x) \log \left(\frac{e (a+b x)}{c+d x}\right)}{d^2 i^3 (c+d x)}+\frac{b B g^2 (a+b x)}{d^2 i^3 (c+d x)}+\frac{B g^2 (a+b x)^2}{4 d i^3 (c+d x)^2}",1,"(B*(b*c - a*d)^2*g^2)/(4*d^3*i^3*(c + d*x)^2) - (3*b*B*(b*c - a*d)*g^2)/(2*d^3*i^3*(c + d*x)) - (3*b^2*B*g^2*Log[a + b*x])/(2*d^3*i^3) - ((b*c - a*d)^2*g^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(2*d^3*i^3*(c + d*x)^2) + (2*b*(b*c - a*d)*g^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(d^3*i^3*(c + d*x)) + (3*b^2*B*g^2*Log[c + d*x])/(2*d^3*i^3) - (b^2*B*g^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^3*i^3) + (b^2*g^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(d^3*i^3) + (b^2*B*g^2*Log[c + d*x]^2)/(2*d^3*i^3) - (b^2*B*g^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^3*i^3)","A",19,11,40,0.2750,1,"{2528, 2525, 12, 44, 2524, 2418, 2394, 2393, 2391, 2390, 2301}"
49,1,191,0,0.2923451,"\int \frac{(a g+b g x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{(c i+d i x)^3} \, dx","Int[((a*g + b*g*x)*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(c*i + d*i*x)^3,x]","-\frac{b g \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{d^2 i^3 (c+d x)}+\frac{g (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 d^2 i^3 (c+d x)^2}+\frac{b^2 B g \log (a+b x)}{2 d^2 i^3 (b c-a d)}-\frac{b^2 B g \log (c+d x)}{2 d^2 i^3 (b c-a d)}-\frac{B g (b c-a d)}{4 d^2 i^3 (c+d x)^2}+\frac{b B g}{2 d^2 i^3 (c+d x)}","\frac{g (a+b x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 i^3 (c+d x)^2 (b c-a d)}-\frac{B g (a+b x)^2}{4 i^3 (c+d x)^2 (b c-a d)}",1,"-(B*(b*c - a*d)*g)/(4*d^2*i^3*(c + d*x)^2) + (b*B*g)/(2*d^2*i^3*(c + d*x)) + (b^2*B*g*Log[a + b*x])/(2*d^2*(b*c - a*d)*i^3) + ((b*c - a*d)*g*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(2*d^2*i^3*(c + d*x)^2) - (b*g*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(d^2*i^3*(c + d*x)) - (b^2*B*g*Log[c + d*x])/(2*d^2*(b*c - a*d)*i^3)","B",10,4,38,0.1053,1,"{2528, 2525, 12, 44}"
50,1,144,0,0.0993907,"\int \frac{A+B \log \left(\frac{e (a+b x)}{c+d x}\right)}{(c i+d i x)^3} \, dx","Int[(A + B*Log[(e*(a + b*x))/(c + d*x)])/(c*i + d*i*x)^3,x]","-\frac{B \log \left(\frac{e (a+b x)}{c+d x}\right)+A}{2 d i^3 (c+d x)^2}+\frac{b^2 B \log (a+b x)}{2 d i^3 (b c-a d)^2}-\frac{b^2 B \log (c+d x)}{2 d i^3 (b c-a d)^2}+\frac{b B}{2 d i^3 (c+d x) (b c-a d)}+\frac{B}{4 d i^3 (c+d x)^2}","-\frac{B \log \left(\frac{e (a+b x)}{c+d x}\right)+A}{2 d i^3 (c+d x)^2}+\frac{b^2 B \log (a+b x)}{2 d i^3 (b c-a d)^2}-\frac{b^2 B \log (c+d x)}{2 d i^3 (b c-a d)^2}+\frac{b B}{2 d i^3 (c+d x) (b c-a d)}+\frac{B}{4 d i^3 (c+d x)^2}",1,"B/(4*d*i^3*(c + d*x)^2) + (b*B)/(2*d*(b*c - a*d)*i^3*(c + d*x)) + (b^2*B*Log[a + b*x])/(2*d*(b*c - a*d)^2*i^3) - (A + B*Log[(e*(a + b*x))/(c + d*x)])/(2*d*i^3*(c + d*x)^2) - (b^2*B*Log[c + d*x])/(2*d*(b*c - a*d)^2*i^3)","A",4,3,30,0.1000,1,"{2525, 12, 44}"
51,1,535,0,0.8984898,"\int \frac{A+B \log \left(\frac{e (a+b x)}{c+d x}\right)}{(a g+b g x) (c i+d i x)^3} \, dx","Int[(A + B*Log[(e*(a + b*x))/(c + d*x)])/((a*g + b*g*x)*(c*i + d*i*x)^3),x]","\frac{b^2 B \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{g i^3 (b c-a d)^3}+\frac{b^2 B \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{g i^3 (b c-a d)^3}+\frac{b^2 \log (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g i^3 (b c-a d)^3}-\frac{b^2 \log (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g i^3 (b c-a d)^3}+\frac{b \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g i^3 (c+d x) (b c-a d)^2}+\frac{B \log \left(\frac{e (a+b x)}{c+d x}\right)+A}{2 g i^3 (c+d x)^2 (b c-a d)}-\frac{b^2 B \log ^2(a+b x)}{2 g i^3 (b c-a d)^3}-\frac{b^2 B \log ^2(c+d x)}{2 g i^3 (b c-a d)^3}-\frac{3 b^2 B \log (a+b x)}{2 g i^3 (b c-a d)^3}+\frac{b^2 B \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{g i^3 (b c-a d)^3}+\frac{3 b^2 B \log (c+d x)}{2 g i^3 (b c-a d)^3}+\frac{b^2 B \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{g i^3 (b c-a d)^3}-\frac{3 b B}{2 g i^3 (c+d x) (b c-a d)^2}-\frac{B}{4 g i^3 (c+d x)^2 (b c-a d)}","\frac{b^2 \log \left(\frac{a+b x}{c+d x}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g i^3 (b c-a d)^3}+\frac{d^2 (a+b x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 g i^3 (c+d x)^2 (b c-a d)^3}-\frac{2 b d (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g i^3 (c+d x) (b c-a d)^3}-\frac{b^2 B \log ^2\left(\frac{a+b x}{c+d x}\right)}{2 g i^3 (b c-a d)^3}-\frac{B \left(4 b-\frac{d (a+b x)}{c+d x}\right)^2}{4 g i^3 (b c-a d)^3}",1,"-B/(4*(b*c - a*d)*g*i^3*(c + d*x)^2) - (3*b*B)/(2*(b*c - a*d)^2*g*i^3*(c + d*x)) - (3*b^2*B*Log[a + b*x])/(2*(b*c - a*d)^3*g*i^3) - (b^2*B*Log[a + b*x]^2)/(2*(b*c - a*d)^3*g*i^3) + (A + B*Log[(e*(a + b*x))/(c + d*x)])/(2*(b*c - a*d)*g*i^3*(c + d*x)^2) + (b*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/((b*c - a*d)^2*g*i^3*(c + d*x)) + (b^2*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/((b*c - a*d)^3*g*i^3) + (3*b^2*B*Log[c + d*x])/(2*(b*c - a*d)^3*g*i^3) + (b^2*B*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^3*g*i^3) - (b^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/((b*c - a*d)^3*g*i^3) - (b^2*B*Log[c + d*x]^2)/(2*(b*c - a*d)^3*g*i^3) + (b^2*B*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g*i^3) + (b^2*B*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^3*g*i^3) + (b^2*B*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g*i^3)","C",28,11,40,0.2750,1,"{2528, 2524, 12, 2418, 2390, 2301, 2394, 2393, 2391, 2525, 44}"
52,1,631,0,1.1109852,"\int \frac{A+B \log \left(\frac{e (a+b x)}{c+d x}\right)}{(a g+b g x)^2 (c i+d i x)^3} \, dx","Int[(A + B*Log[(e*(a + b*x))/(c + d*x)])/((a*g + b*g*x)^2*(c*i + d*i*x)^3),x]","-\frac{3 b^2 B d \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{g^2 i^3 (b c-a d)^4}-\frac{3 b^2 B d \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{g^2 i^3 (b c-a d)^4}-\frac{3 b^2 d \log (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^2 i^3 (b c-a d)^4}-\frac{b^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^2 i^3 (a+b x) (b c-a d)^3}+\frac{3 b^2 d \log (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^2 i^3 (b c-a d)^4}-\frac{2 b d \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^2 i^3 (c+d x) (b c-a d)^3}-\frac{d \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 g^2 i^3 (c+d x)^2 (b c-a d)^2}-\frac{b^2 B}{g^2 i^3 (a+b x) (b c-a d)^3}+\frac{3 b^2 B d \log ^2(a+b x)}{2 g^2 i^3 (b c-a d)^4}+\frac{3 b^2 B d \log ^2(c+d x)}{2 g^2 i^3 (b c-a d)^4}+\frac{3 b^2 B d \log (a+b x)}{2 g^2 i^3 (b c-a d)^4}-\frac{3 b^2 B d \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{g^2 i^3 (b c-a d)^4}-\frac{3 b^2 B d \log (c+d x)}{2 g^2 i^3 (b c-a d)^4}-\frac{3 b^2 B d \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{g^2 i^3 (b c-a d)^4}+\frac{5 b B d}{2 g^2 i^3 (c+d x) (b c-a d)^3}+\frac{B d}{4 g^2 i^3 (c+d x)^2 (b c-a d)^2}","-\frac{b^3 (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^2 i^3 (a+b x) (b c-a d)^4}-\frac{3 b^2 d \log \left(\frac{a+b x}{c+d x}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^2 i^3 (b c-a d)^4}+\frac{3 b d^2 (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^2 i^3 (c+d x) (b c-a d)^4}-\frac{d^3 (a+b x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 g^2 i^3 (c+d x)^2 (b c-a d)^4}-\frac{b^3 B (c+d x)}{g^2 i^3 (a+b x) (b c-a d)^4}+\frac{3 b^2 B d \log ^2\left(\frac{a+b x}{c+d x}\right)}{2 g^2 i^3 (b c-a d)^4}-\frac{3 b B d^2 (a+b x)}{g^2 i^3 (c+d x) (b c-a d)^4}+\frac{B d^3 (a+b x)^2}{4 g^2 i^3 (c+d x)^2 (b c-a d)^4}",1,"-((b^2*B)/((b*c - a*d)^3*g^2*i^3*(a + b*x))) + (B*d)/(4*(b*c - a*d)^2*g^2*i^3*(c + d*x)^2) + (5*b*B*d)/(2*(b*c - a*d)^3*g^2*i^3*(c + d*x)) + (3*b^2*B*d*Log[a + b*x])/(2*(b*c - a*d)^4*g^2*i^3) + (3*b^2*B*d*Log[a + b*x]^2)/(2*(b*c - a*d)^4*g^2*i^3) - (b^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/((b*c - a*d)^3*g^2*i^3*(a + b*x)) - (d*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(2*(b*c - a*d)^2*g^2*i^3*(c + d*x)^2) - (2*b*d*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/((b*c - a*d)^3*g^2*i^3*(c + d*x)) - (3*b^2*d*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/((b*c - a*d)^4*g^2*i^3) - (3*b^2*B*d*Log[c + d*x])/(2*(b*c - a*d)^4*g^2*i^3) - (3*b^2*B*d*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^4*g^2*i^3) + (3*b^2*d*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/((b*c - a*d)^4*g^2*i^3) + (3*b^2*B*d*Log[c + d*x]^2)/(2*(b*c - a*d)^4*g^2*i^3) - (3*b^2*B*d*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^2*i^3) - (3*b^2*B*d*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^4*g^2*i^3) - (3*b^2*B*d*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^2*i^3)","C",32,11,40,0.2750,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391}"
53,1,673,0,1.4057605,"\int \frac{A+B \log \left(\frac{e (a+b x)}{c+d x}\right)}{(a g+b g x)^3 (c i+d i x)^3} \, dx","Int[(A + B*Log[(e*(a + b*x))/(c + d*x)])/((a*g + b*g*x)^3*(c*i + d*i*x)^3),x]","\frac{6 b^2 B d^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{g^3 i^3 (b c-a d)^5}+\frac{6 b^2 B d^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{g^3 i^3 (b c-a d)^5}+\frac{6 b^2 d^2 \log (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^3 i^3 (b c-a d)^5}-\frac{6 b^2 d^2 \log (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^3 i^3 (b c-a d)^5}+\frac{3 b^2 d \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^3 i^3 (a+b x) (b c-a d)^4}-\frac{b^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 g^3 i^3 (a+b x)^2 (b c-a d)^3}+\frac{3 b d^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^3 i^3 (c+d x) (b c-a d)^4}+\frac{d^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 g^3 i^3 (c+d x)^2 (b c-a d)^3}-\frac{3 b^2 B d^2 \log ^2(a+b x)}{g^3 i^3 (b c-a d)^5}-\frac{3 b^2 B d^2 \log ^2(c+d x)}{g^3 i^3 (b c-a d)^5}+\frac{6 b^2 B d^2 \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{g^3 i^3 (b c-a d)^5}+\frac{6 b^2 B d^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{g^3 i^3 (b c-a d)^5}+\frac{7 b^2 B d}{2 g^3 i^3 (a+b x) (b c-a d)^4}-\frac{b^2 B}{4 g^3 i^3 (a+b x)^2 (b c-a d)^3}-\frac{7 b B d^2}{2 g^3 i^3 (c+d x) (b c-a d)^4}-\frac{B d^2}{4 g^3 i^3 (c+d x)^2 (b c-a d)^3}","\frac{6 b^2 d^2 \log \left(\frac{a+b x}{c+d x}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^3 i^3 (b c-a d)^5}-\frac{b^4 (c+d x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 g^3 i^3 (a+b x)^2 (b c-a d)^5}+\frac{4 b^3 d (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^3 i^3 (a+b x) (b c-a d)^5}-\frac{4 b d^3 (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^3 i^3 (c+d x) (b c-a d)^5}+\frac{d^4 (a+b x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 g^3 i^3 (c+d x)^2 (b c-a d)^5}-\frac{3 b^2 B d^2 \log ^2\left(\frac{a+b x}{c+d x}\right)}{g^3 i^3 (b c-a d)^5}-\frac{b^4 B (c+d x)^2}{4 g^3 i^3 (a+b x)^2 (b c-a d)^5}+\frac{4 b^3 B d (c+d x)}{g^3 i^3 (a+b x) (b c-a d)^5}+\frac{4 b B d^3 (a+b x)}{g^3 i^3 (c+d x) (b c-a d)^5}-\frac{B d^4 (a+b x)^2}{4 g^3 i^3 (c+d x)^2 (b c-a d)^5}",1,"-(b^2*B)/(4*(b*c - a*d)^3*g^3*i^3*(a + b*x)^2) + (7*b^2*B*d)/(2*(b*c - a*d)^4*g^3*i^3*(a + b*x)) - (B*d^2)/(4*(b*c - a*d)^3*g^3*i^3*(c + d*x)^2) - (7*b*B*d^2)/(2*(b*c - a*d)^4*g^3*i^3*(c + d*x)) - (3*b^2*B*d^2*Log[a + b*x]^2)/((b*c - a*d)^5*g^3*i^3) - (b^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(2*(b*c - a*d)^3*g^3*i^3*(a + b*x)^2) + (3*b^2*d*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/((b*c - a*d)^4*g^3*i^3*(a + b*x)) + (d^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(2*(b*c - a*d)^3*g^3*i^3*(c + d*x)^2) + (3*b*d^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/((b*c - a*d)^4*g^3*i^3*(c + d*x)) + (6*b^2*d^2*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/((b*c - a*d)^5*g^3*i^3) + (6*b^2*B*d^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^5*g^3*i^3) - (6*b^2*d^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/((b*c - a*d)^5*g^3*i^3) - (3*b^2*B*d^2*Log[c + d*x]^2)/((b*c - a*d)^5*g^3*i^3) + (6*b^2*B*d^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^5*g^3*i^3) + (6*b^2*B*d^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^5*g^3*i^3) + (6*b^2*B*d^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^5*g^3*i^3)","C",36,11,40,0.2750,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391}"
54,1,825,0,1.6953366,"\int \frac{A+B \log \left(\frac{e (a+b x)}{c+d x}\right)}{(a g+b g x)^4 (c i+d i x)^3} \, dx","Int[(A + B*Log[(e*(a + b*x))/(c + d*x)])/((a*g + b*g*x)^4*(c*i + d*i*x)^3),x]","\frac{5 b^2 B \log ^2(a+b x) d^3}{(b c-a d)^6 g^4 i^3}+\frac{5 b^2 B \log ^2(c+d x) d^3}{(b c-a d)^6 g^4 i^3}-\frac{10 b^2 B \log (a+b x) d^3}{3 (b c-a d)^6 g^4 i^3}-\frac{10 b^2 \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) d^3}{(b c-a d)^6 g^4 i^3}-\frac{4 b \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) d^3}{(b c-a d)^5 g^4 i^3 (c+d x)}-\frac{\left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) d^3}{2 (b c-a d)^4 g^4 i^3 (c+d x)^2}-\frac{10 b^2 B \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) d^3}{(b c-a d)^6 g^4 i^3}+\frac{10 b^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x) d^3}{(b c-a d)^6 g^4 i^3}+\frac{10 b^2 B \log (c+d x) d^3}{3 (b c-a d)^6 g^4 i^3}-\frac{10 b^2 B \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) d^3}{(b c-a d)^6 g^4 i^3}-\frac{10 b^2 B \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) d^3}{(b c-a d)^6 g^4 i^3}-\frac{10 b^2 B \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) d^3}{(b c-a d)^6 g^4 i^3}+\frac{9 b B d^3}{2 (b c-a d)^5 g^4 i^3 (c+d x)}+\frac{B d^3}{4 (b c-a d)^4 g^4 i^3 (c+d x)^2}-\frac{6 b^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) d^2}{(b c-a d)^5 g^4 i^3 (a+b x)}-\frac{47 b^2 B d^2}{6 (b c-a d)^5 g^4 i^3 (a+b x)}+\frac{3 b^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) d}{2 (b c-a d)^4 g^4 i^3 (a+b x)^2}+\frac{11 b^2 B d}{12 (b c-a d)^4 g^4 i^3 (a+b x)^2}-\frac{b^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{3 (b c-a d)^3 g^4 i^3 (a+b x)^3}-\frac{b^2 B}{9 (b c-a d)^3 g^4 i^3 (a+b x)^3}","-\frac{10 b^3 d^2 (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^4 i^3 (a+b x) (b c-a d)^6}-\frac{10 b^2 d^3 \log \left(\frac{a+b x}{c+d x}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^4 i^3 (b c-a d)^6}-\frac{b^5 (c+d x)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{3 g^4 i^3 (a+b x)^3 (b c-a d)^6}+\frac{5 b^4 d (c+d x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 g^4 i^3 (a+b x)^2 (b c-a d)^6}+\frac{5 b d^4 (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^4 i^3 (c+d x) (b c-a d)^6}-\frac{d^5 (a+b x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 g^4 i^3 (c+d x)^2 (b c-a d)^6}-\frac{10 b^3 B d^2 (c+d x)}{g^4 i^3 (a+b x) (b c-a d)^6}+\frac{5 b^2 B d^3 \log ^2\left(\frac{a+b x}{c+d x}\right)}{g^4 i^3 (b c-a d)^6}-\frac{b^5 B (c+d x)^3}{9 g^4 i^3 (a+b x)^3 (b c-a d)^6}+\frac{5 b^4 B d (c+d x)^2}{4 g^4 i^3 (a+b x)^2 (b c-a d)^6}-\frac{5 b B d^4 (a+b x)}{g^4 i^3 (c+d x) (b c-a d)^6}+\frac{B d^5 (a+b x)^2}{4 g^4 i^3 (c+d x)^2 (b c-a d)^6}",1,"-(b^2*B)/(9*(b*c - a*d)^3*g^4*i^3*(a + b*x)^3) + (11*b^2*B*d)/(12*(b*c - a*d)^4*g^4*i^3*(a + b*x)^2) - (47*b^2*B*d^2)/(6*(b*c - a*d)^5*g^4*i^3*(a + b*x)) + (B*d^3)/(4*(b*c - a*d)^4*g^4*i^3*(c + d*x)^2) + (9*b*B*d^3)/(2*(b*c - a*d)^5*g^4*i^3*(c + d*x)) - (10*b^2*B*d^3*Log[a + b*x])/(3*(b*c - a*d)^6*g^4*i^3) + (5*b^2*B*d^3*Log[a + b*x]^2)/((b*c - a*d)^6*g^4*i^3) - (b^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(3*(b*c - a*d)^3*g^4*i^3*(a + b*x)^3) + (3*b^2*d*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(2*(b*c - a*d)^4*g^4*i^3*(a + b*x)^2) - (6*b^2*d^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/((b*c - a*d)^5*g^4*i^3*(a + b*x)) - (d^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(2*(b*c - a*d)^4*g^4*i^3*(c + d*x)^2) - (4*b*d^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/((b*c - a*d)^5*g^4*i^3*(c + d*x)) - (10*b^2*d^3*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/((b*c - a*d)^6*g^4*i^3) + (10*b^2*B*d^3*Log[c + d*x])/(3*(b*c - a*d)^6*g^4*i^3) - (10*b^2*B*d^3*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^6*g^4*i^3) + (10*b^2*d^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/((b*c - a*d)^6*g^4*i^3) + (5*b^2*B*d^3*Log[c + d*x]^2)/((b*c - a*d)^6*g^4*i^3) - (10*b^2*B*d^3*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^6*g^4*i^3) - (10*b^2*B*d^3*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^6*g^4*i^3) - (10*b^2*B*d^3*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^6*g^4*i^3)","C",40,11,40,0.2750,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391}"
55,1,622,0,1.7798491,"\int (a g+b g x)^3 (c i+d i x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 \, dx","Int[(a*g + b*g*x)^3*(c*i + d*i*x)*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2,x]","-\frac{B^2 g^3 i (b c-a d)^5 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{10 b^2 d^4}+\frac{B g^3 i (b c-a d)^5 \log (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{10 b^2 d^4}+\frac{B g^3 i (a+b x)^2 (b c-a d)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{20 b^2 d^2}-\frac{B g^3 i (a+b x)^3 (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{30 b^2 d}+\frac{g^3 i (a+b x)^4 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{4 b^2}-\frac{B g^3 i (a+b x)^4 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{10 b^2}+\frac{d g^3 i (a+b x)^5 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{5 b^2}-\frac{A B g^3 i x (b c-a d)^4}{10 b d^3}-\frac{B^2 g^3 i (a+b x) (b c-a d)^4 \log \left(\frac{e (a+b x)}{c+d x}\right)}{10 b^2 d^3}-\frac{B^2 g^3 i (a+b x)^2 (b c-a d)^3}{30 b^2 d^2}+\frac{B^2 g^3 i (b c-a d)^5 \log ^2(c+d x)}{20 b^2 d^4}+\frac{B^2 g^3 i (b c-a d)^5 \log (c+d x)}{12 b^2 d^4}-\frac{B^2 g^3 i (b c-a d)^5 \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{10 b^2 d^4}+\frac{B^2 g^3 i (a+b x)^3 (b c-a d)^2}{30 b^2 d}+\frac{B^2 g^3 i x (b c-a d)^4}{60 b d^3}","-\frac{B^2 g^3 i (b c-a d)^5 \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{10 b^2 d^4}-\frac{B g^3 i (b c-a d)^5 \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(6 B \log \left(\frac{e (a+b x)}{c+d x}\right)+6 A+11 B\right)}{60 b^2 d^4}-\frac{B g^3 i (a+b x) (b c-a d)^4 \left(6 B \log \left(\frac{e (a+b x)}{c+d x}\right)+6 A+5 B\right)}{60 b^2 d^3}+\frac{B g^3 i (a+b x)^2 (b c-a d)^3 \left(3 B \log \left(\frac{e (a+b x)}{c+d x}\right)+3 A+B\right)}{60 b^2 d^2}-\frac{B g^3 i (a+b x)^3 (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{30 b^2 d}+\frac{g^3 i (a+b x)^4 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{20 b^2}-\frac{B g^3 i (a+b x)^4 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{10 b^2}+\frac{g^3 i (a+b x)^4 (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{5 b}-\frac{B^2 g^3 i (b c-a d)^5 \log (c+d x)}{10 b^2 d^4}+\frac{3 B^2 g^3 i x (b c-a d)^4}{10 b d^3}-\frac{3 B^2 g^3 i (c+d x)^2 (b c-a d)^3}{20 d^4}+\frac{b B^2 g^3 i (c+d x)^3 (b c-a d)^2}{30 d^4}",1,"-(A*B*(b*c - a*d)^4*g^3*i*x)/(10*b*d^3) + (B^2*(b*c - a*d)^4*g^3*i*x)/(60*b*d^3) - (B^2*(b*c - a*d)^3*g^3*i*(a + b*x)^2)/(30*b^2*d^2) + (B^2*(b*c - a*d)^2*g^3*i*(a + b*x)^3)/(30*b^2*d) - (B^2*(b*c - a*d)^4*g^3*i*(a + b*x)*Log[(e*(a + b*x))/(c + d*x)])/(10*b^2*d^3) + (B*(b*c - a*d)^3*g^3*i*(a + b*x)^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(20*b^2*d^2) - (B*(b*c - a*d)^2*g^3*i*(a + b*x)^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(30*b^2*d) - (B*(b*c - a*d)*g^3*i*(a + b*x)^4*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(10*b^2) + ((b*c - a*d)*g^3*i*(a + b*x)^4*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(4*b^2) + (d*g^3*i*(a + b*x)^5*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(5*b^2) + (B^2*(b*c - a*d)^5*g^3*i*Log[c + d*x])/(12*b^2*d^4) - (B^2*(b*c - a*d)^5*g^3*i*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(10*b^2*d^4) + (B*(b*c - a*d)^5*g^3*i*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(10*b^2*d^4) + (B^2*(b*c - a*d)^5*g^3*i*Log[c + d*x]^2)/(20*b^2*d^4) - (B^2*(b*c - a*d)^5*g^3*i*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(10*b^2*d^4)","A",54,13,40,0.3250,1,"{2528, 2525, 12, 2486, 31, 43, 2524, 2418, 2394, 2393, 2391, 2390, 2301}"
56,1,537,0,1.4901474,"\int (a g+b g x)^2 (c i+d i x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 \, dx","Int[(a*g + b*g*x)^2*(c*i + d*i*x)*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2,x]","\frac{B^2 g^2 i (b c-a d)^4 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{6 b^2 d^3}-\frac{B g^2 i (b c-a d)^4 \log (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{6 b^2 d^3}-\frac{B g^2 i (a+b x)^2 (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{12 b^2 d}+\frac{g^2 i (a+b x)^3 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{3 b^2}-\frac{B g^2 i (a+b x)^3 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{6 b^2}+\frac{d g^2 i (a+b x)^4 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{4 b^2}+\frac{A B g^2 i x (b c-a d)^3}{6 b d^2}+\frac{B^2 g^2 i (a+b x) (b c-a d)^3 \log \left(\frac{e (a+b x)}{c+d x}\right)}{6 b^2 d^2}-\frac{B^2 g^2 i (b c-a d)^4 \log ^2(c+d x)}{12 b^2 d^3}-\frac{B^2 g^2 i (b c-a d)^4 \log (c+d x)}{12 b^2 d^3}+\frac{B^2 g^2 i (b c-a d)^4 \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{6 b^2 d^3}+\frac{B^2 g^2 i (a+b x)^2 (b c-a d)^2}{12 b^2 d}-\frac{B^2 g^2 i x (b c-a d)^3}{12 b d^2}","\frac{B^2 g^2 i (b c-a d)^4 \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{6 b^2 d^3}+\frac{B g^2 i (b c-a d)^4 \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(2 B \log \left(\frac{e (a+b x)}{c+d x}\right)+2 A+3 B\right)}{12 b^2 d^3}+\frac{B g^2 i (a+b x) (b c-a d)^3 \left(2 B \log \left(\frac{e (a+b x)}{c+d x}\right)+2 A+B\right)}{12 b^2 d^2}-\frac{B g^2 i (a+b x)^2 (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{12 b^2 d}+\frac{g^2 i (a+b x)^3 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{12 b^2}-\frac{B g^2 i (a+b x)^3 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{6 b^2}+\frac{g^2 i (a+b x)^3 (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{4 b}+\frac{B^2 g^2 i (b c-a d)^4 \log (c+d x)}{6 b^2 d^3}-\frac{B^2 g^2 i x (b c-a d)^3}{3 b d^2}+\frac{B^2 g^2 i (c+d x)^2 (b c-a d)^2}{12 d^3}",1,"(A*B*(b*c - a*d)^3*g^2*i*x)/(6*b*d^2) - (B^2*(b*c - a*d)^3*g^2*i*x)/(12*b*d^2) + (B^2*(b*c - a*d)^2*g^2*i*(a + b*x)^2)/(12*b^2*d) + (B^2*(b*c - a*d)^3*g^2*i*(a + b*x)*Log[(e*(a + b*x))/(c + d*x)])/(6*b^2*d^2) - (B*(b*c - a*d)^2*g^2*i*(a + b*x)^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(12*b^2*d) - (B*(b*c - a*d)*g^2*i*(a + b*x)^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(6*b^2) + ((b*c - a*d)*g^2*i*(a + b*x)^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(3*b^2) + (d*g^2*i*(a + b*x)^4*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(4*b^2) - (B^2*(b*c - a*d)^4*g^2*i*Log[c + d*x])/(12*b^2*d^3) + (B^2*(b*c - a*d)^4*g^2*i*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(6*b^2*d^3) - (B*(b*c - a*d)^4*g^2*i*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(6*b^2*d^3) - (B^2*(b*c - a*d)^4*g^2*i*Log[c + d*x]^2)/(12*b^2*d^3) + (B^2*(b*c - a*d)^4*g^2*i*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(6*b^2*d^3)","A",46,13,40,0.3250,1,"{2528, 2525, 12, 2486, 31, 43, 2524, 2418, 2394, 2393, 2391, 2390, 2301}"
57,1,1214,0,2.8165021,"\int (a g+b g x) (c i+d i x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 \, dx","Int[(a*g + b*g*x)*(c*i + d*i*x)*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2,x]","-\frac{B^2 d g i \log ^2(a+b x) a^3}{3 b^2}+\frac{2 B d g i \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) a^3}{3 b^2}+\frac{2 B^2 d g i \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) a^3}{3 b^2}+\frac{2 B^2 d g i \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) a^3}{3 b^2}-\frac{B^2 c g i \log ^2(a+b x) a^2}{b}+\frac{B^2 (b c+a d) g i \log ^2(a+b x) a^2}{2 b^2}+\frac{B^2 (b c-a d) g i \log (a+b x) a^2}{3 b^2}+\frac{2 B c g i \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) a^2}{b}-\frac{B (b c+a d) g i \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) a^2}{b^2}+\frac{2 B^2 c g i \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) a^2}{b}-\frac{B^2 (b c+a d) g i \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) a^2}{b^2}+\frac{2 B^2 c g i \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) a^2}{b}-\frac{B^2 (b c+a d) g i \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) a^2}{b^2}+c g i x \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 a-\frac{B^2 c^2 g i \log ^2(c+d x) a}{d}+\frac{2 B^2 c^2 g i \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) a}{d}-\frac{2 B c^2 g i \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x) a}{d}+\frac{2 B^2 c^2 g i \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) a}{d}+\frac{1}{3} b d g i x^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2+\frac{1}{2} (b c+a d) g i x^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2+\frac{B^2 c^2 (b c+a d) g i \log ^2(c+d x)}{2 d^2}-\frac{b B^2 c^3 g i \log ^2(c+d x)}{3 d^2}+\frac{B^2 (b c-a d)^2 g i x}{3 b d}-\frac{2}{3} A b B \left(\frac{a^2}{b^2}-\frac{c^2}{d^2}\right) d g i x-\frac{A B (b c-a d) (b c+a d) g i x}{b d}-\frac{B^2 (b c-a d) (b c+a d) g i (a+b x) \log \left(\frac{e (a+b x)}{c+d x}\right)}{3 b^2 d}-\frac{1}{3} B (b c-a d) g i x^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)-\frac{B^2 c^2 (b c-a d) g i \log (c+d x)}{3 d^2}+\frac{B^2 (b c-a d)^2 (b c+a d) g i \log (c+d x)}{3 b^2 d^2}-\frac{B^2 c^2 (b c+a d) g i \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{d^2}+\frac{2 b B^2 c^3 g i \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{3 d^2}+\frac{B c^2 (b c+a d) g i \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x)}{d^2}-\frac{2 b B c^3 g i \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x)}{3 d^2}-\frac{B^2 c^2 (b c+a d) g i \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^2}+\frac{2 b B^2 c^3 g i \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{3 d^2}","-\frac{B^2 g i (b c-a d)^3 \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{3 b^2 d^2}-\frac{B g i (b c-a d)^3 \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A+B\right)}{3 b^2 d^2}-\frac{B g i (a+b x) (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{3 b^2 d}+\frac{g i (a+b x)^2 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{6 b^2}-\frac{B g i (a+b x)^2 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{3 b^2}+\frac{g i (a+b x)^2 (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{3 b}-\frac{B^2 g i (b c-a d)^3 \log (c+d x)}{3 b^2 d^2}+\frac{B^2 g i x (b c-a d)^2}{3 b d}",1,"(-2*A*b*B*(a^2/b^2 - c^2/d^2)*d*g*i*x)/3 + (B^2*(b*c - a*d)^2*g*i*x)/(3*b*d) - (A*B*(b*c - a*d)*(b*c + a*d)*g*i*x)/(b*d) + (a^2*B^2*(b*c - a*d)*g*i*Log[a + b*x])/(3*b^2) - (a^2*B^2*c*g*i*Log[a + b*x]^2)/b - (a^3*B^2*d*g*i*Log[a + b*x]^2)/(3*b^2) + (a^2*B^2*(b*c + a*d)*g*i*Log[a + b*x]^2)/(2*b^2) - (B^2*(b*c - a*d)*(b*c + a*d)*g*i*(a + b*x)*Log[(e*(a + b*x))/(c + d*x)])/(3*b^2*d) - (B*(b*c - a*d)*g*i*x^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/3 + (2*a^2*B*c*g*i*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/b + (2*a^3*B*d*g*i*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(3*b^2) - (a^2*B*(b*c + a*d)*g*i*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/b^2 + a*c*g*i*x*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2 + ((b*c + a*d)*g*i*x^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/2 + (b*d*g*i*x^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/3 - (B^2*c^2*(b*c - a*d)*g*i*Log[c + d*x])/(3*d^2) + (B^2*(b*c - a*d)^2*(b*c + a*d)*g*i*Log[c + d*x])/(3*b^2*d^2) + (2*b*B^2*c^3*g*i*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(3*d^2) + (2*a*B^2*c^2*g*i*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/d - (B^2*c^2*(b*c + a*d)*g*i*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/d^2 - (2*b*B*c^3*g*i*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(3*d^2) - (2*a*B*c^2*g*i*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/d + (B*c^2*(b*c + a*d)*g*i*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/d^2 - (b*B^2*c^3*g*i*Log[c + d*x]^2)/(3*d^2) - (a*B^2*c^2*g*i*Log[c + d*x]^2)/d + (B^2*c^2*(b*c + a*d)*g*i*Log[c + d*x]^2)/(2*d^2) + (2*a^2*B^2*c*g*i*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/b + (2*a^3*B^2*d*g*i*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(3*b^2) - (a^2*B^2*(b*c + a*d)*g*i*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/b^2 + (2*a^2*B^2*c*g*i*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/b + (2*a^3*B^2*d*g*i*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(3*b^2) - (a^2*B^2*(b*c + a*d)*g*i*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/b^2 + (2*b*B^2*c^3*g*i*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(3*d^2) + (2*a*B^2*c^2*g*i*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/d - (B^2*c^2*(b*c + a*d)*g*i*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/d^2","B",78,14,38,0.3684,1,"{2528, 2523, 12, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 2525, 2486, 31, 72}"
58,1,283,0,0.4327905,"\int (c i+d i x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 \, dx","Int[(c*i + d*i*x)*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2,x]","-\frac{B^2 i (b c-a d)^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{b^2 d}-\frac{B i (b c-a d)^2 \log (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^2 d}+\frac{i (c+d x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{2 d}-\frac{A B i x (b c-a d)}{b}-\frac{B^2 i (a+b x) (b c-a d) \log \left(\frac{e (a+b x)}{c+d x}\right)}{b^2}+\frac{B^2 i (b c-a d)^2 \log ^2(a+b x)}{2 b^2 d}+\frac{B^2 i (b c-a d)^2 \log (c+d x)}{b^2 d}-\frac{B^2 i (b c-a d)^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{b^2 d}","-\frac{B^2 i (b c-a d)^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{d (a+b x)}\right)}{b^2 d}+\frac{B i (b c-a d)^2 \log \left(1-\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^2 d}-\frac{B i (a+b x) (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^2}+\frac{i (c+d x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{2 d}+\frac{B^2 i (b c-a d)^2 \log (c+d x)}{b^2 d}",1,"-((A*B*(b*c - a*d)*i*x)/b) + (B^2*(b*c - a*d)^2*i*Log[a + b*x]^2)/(2*b^2*d) - (B^2*(b*c - a*d)*i*(a + b*x)*Log[(e*(a + b*x))/(c + d*x)])/b^2 - (B*(b*c - a*d)^2*i*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(b^2*d) + (i*(c + d*x)^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(2*d) + (B^2*(b*c - a*d)^2*i*Log[c + d*x])/(b^2*d) - (B^2*(b*c - a*d)^2*i*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^2*d) - (B^2*(b*c - a*d)^2*i*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^2*d)","A",16,12,30,0.4000,1,"{2525, 12, 2528, 2486, 31, 2524, 2418, 2390, 2301, 2394, 2393, 2391}"
59,1,644,0,2.9393874,"\int \frac{(c i+d i x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{a g+b g x} \, dx","Int[((c*i + d*i*x)*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(a*g + b*g*x),x]","\frac{2 A B i (b c-a d) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{b^2 g}+\frac{2 B^2 i (b c-a d) \text{PolyLog}\left(2,\frac{b c-a d}{d (a+b x)}+1\right) \log \left(\frac{e (a+b x)}{c+d x}\right)}{b^2 g}+\frac{2 a B^2 d i \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{b^2 g}+\frac{2 B^2 i (b c-a d) \text{PolyLog}\left(3,\frac{b c-a d}{d (a+b x)}+1\right)}{b^2 g}+\frac{2 B^2 c i \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{b g}+\frac{2 a B d i \log (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^2 g}+\frac{i (b c-a d) \log (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{b^2 g}-\frac{A B i (b c-a d) \log ^2(a+b x)}{b^2 g}+\frac{2 A B i (b c-a d) \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{b^2 g}-\frac{2 B c i \log (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b g}+\frac{d i x \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{b g}-\frac{B^2 i (b c-a d) \log \left(-\frac{b c-a d}{d (a+b x)}\right) \log ^2\left(\frac{e (a+b x)}{c+d x}\right)}{b^2 g}-\frac{B^2 i (b c-a d) \log (a+b x) \log ^2\left(\frac{e (a+b x)}{c+d x}\right)}{b^2 g}+\frac{2 a B^2 d i \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{b^2 g}-\frac{a B^2 d i \log ^2(a+b x)}{b^2 g}+\frac{2 B^2 c i \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{b g}-\frac{B^2 c i \log ^2(c+d x)}{b g}","\frac{2 B i (b c-a d) \text{PolyLog}\left(2,\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^2 g}+\frac{2 B^2 i (b c-a d) \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{b^2 g}+\frac{2 B^2 i (b c-a d) \text{PolyLog}\left(3,\frac{b (c+d x)}{d (a+b x)}\right)}{b^2 g}+\frac{2 B i (b c-a d) \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^2 g}+\frac{d i (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{b^2 g}-\frac{i (b c-a d) \log \left(1-\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{b^2 g}",1,"-((a*B^2*d*i*Log[a + b*x]^2)/(b^2*g)) - (A*B*(b*c - a*d)*i*Log[a + b*x]^2)/(b^2*g) - (B^2*(b*c - a*d)*i*Log[-((b*c - a*d)/(d*(a + b*x)))]*Log[(e*(a + b*x))/(c + d*x)]^2)/(b^2*g) - (B^2*(b*c - a*d)*i*Log[a + b*x]*Log[(e*(a + b*x))/(c + d*x)]^2)/(b^2*g) + (2*a*B*d*i*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(b^2*g) + (d*i*x*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(b*g) + ((b*c - a*d)*i*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(b^2*g) + (2*B^2*c*i*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(b*g) - (2*B*c*i*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(b*g) - (B^2*c*i*Log[c + d*x]^2)/(b*g) + (2*a*B^2*d*i*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^2*g) + (2*A*B*(b*c - a*d)*i*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^2*g) + (2*a*B^2*d*i*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^2*g) + (2*A*B*(b*c - a*d)*i*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^2*g) + (2*B^2*c*i*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(b*g) + (2*B^2*(b*c - a*d)*i*Log[(e*(a + b*x))/(c + d*x)]*PolyLog[2, 1 + (b*c - a*d)/(d*(a + b*x))])/(b^2*g) + (2*B^2*(b*c - a*d)*i*PolyLog[3, 1 + (b*c - a*d)/(d*(a + b*x))])/(b^2*g)","B",39,19,40,0.4750,1,"{2528, 2523, 12, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 6688, 6742, 2411, 2344, 2317, 2507, 2488, 2506, 6610}"
60,1,705,0,3.0277527,"\int \frac{(c i+d i x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(a g+b g x)^2} \, dx","Int[((c*i + d*i*x)*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(a*g + b*g*x)^2,x]","\frac{2 A B d i \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{b^2 g^2}+\frac{2 B^2 d i \text{PolyLog}\left(2,\frac{b c-a d}{d (a+b x)}+1\right) \log \left(\frac{e (a+b x)}{c+d x}\right)}{b^2 g^2}-\frac{2 B^2 d i \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{b^2 g^2}-\frac{2 B^2 d i \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{b^2 g^2}+\frac{2 B^2 d i \text{PolyLog}\left(3,\frac{b c-a d}{d (a+b x)}+1\right)}{b^2 g^2}-\frac{2 B d i \log (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^2 g^2}-\frac{2 B i (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^2 g^2 (a+b x)}+\frac{2 B d i \log (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^2 g^2}+\frac{d i \log (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{b^2 g^2}-\frac{i (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{b^2 g^2 (a+b x)}+\frac{2 A B d i \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{b^2 g^2}-\frac{A B d i \log ^2(a+b x)}{b^2 g^2}-\frac{B^2 d i \log \left(-\frac{b c-a d}{d (a+b x)}\right) \log ^2\left(\frac{e (a+b x)}{c+d x}\right)}{b^2 g^2}-\frac{B^2 d i \log (a+b x) \log ^2\left(\frac{e (a+b x)}{c+d x}\right)}{b^2 g^2}-\frac{2 B^2 i (b c-a d)}{b^2 g^2 (a+b x)}-\frac{2 B^2 d i \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{b^2 g^2}-\frac{2 B^2 d i \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{b^2 g^2}+\frac{B^2 d i \log ^2(a+b x)}{b^2 g^2}-\frac{2 B^2 d i \log (a+b x)}{b^2 g^2}+\frac{B^2 d i \log ^2(c+d x)}{b^2 g^2}+\frac{2 B^2 d i \log (c+d x)}{b^2 g^2}","\frac{2 B d i \text{PolyLog}\left(2,\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^2 g^2}+\frac{2 B^2 d i \text{PolyLog}\left(3,\frac{b (c+d x)}{d (a+b x)}\right)}{b^2 g^2}-\frac{d i \log \left(1-\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{b^2 g^2}-\frac{2 B i (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b g^2 (a+b x)}-\frac{i (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{b g^2 (a+b x)}-\frac{2 B^2 i (c+d x)}{b g^2 (a+b x)}",1,"(-2*B^2*(b*c - a*d)*i)/(b^2*g^2*(a + b*x)) - (2*B^2*d*i*Log[a + b*x])/(b^2*g^2) - (A*B*d*i*Log[a + b*x]^2)/(b^2*g^2) + (B^2*d*i*Log[a + b*x]^2)/(b^2*g^2) - (B^2*d*i*Log[-((b*c - a*d)/(d*(a + b*x)))]*Log[(e*(a + b*x))/(c + d*x)]^2)/(b^2*g^2) - (B^2*d*i*Log[a + b*x]*Log[(e*(a + b*x))/(c + d*x)]^2)/(b^2*g^2) - (2*B*(b*c - a*d)*i*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(b^2*g^2*(a + b*x)) - (2*B*d*i*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(b^2*g^2) - ((b*c - a*d)*i*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(b^2*g^2*(a + b*x)) + (d*i*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(b^2*g^2) + (2*B^2*d*i*Log[c + d*x])/(b^2*g^2) - (2*B^2*d*i*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(b^2*g^2) + (2*B*d*i*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(b^2*g^2) + (B^2*d*i*Log[c + d*x]^2)/(b^2*g^2) + (2*A*B*d*i*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^2*g^2) - (2*B^2*d*i*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^2*g^2) + (2*A*B*d*i*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^2*g^2) - (2*B^2*d*i*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^2*g^2) - (2*B^2*d*i*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(b^2*g^2) + (2*B^2*d*i*Log[(e*(a + b*x))/(c + d*x)]*PolyLog[2, 1 + (b*c - a*d)/(d*(a + b*x))])/(b^2*g^2) + (2*B^2*d*i*PolyLog[3, 1 + (b*c - a*d)/(d*(a + b*x))])/(b^2*g^2)","B",43,20,40,0.5000,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 6688, 6742, 2411, 2344, 2317, 2507, 2488, 2506, 6610}"
61,1,639,0,1.9400039,"\int \frac{(c i+d i x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(a g+b g x)^3} \, dx","Int[((c*i + d*i*x)*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(a*g + b*g*x)^3,x]","-\frac{B^2 d^2 i \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{b^2 g^3 (b c-a d)}-\frac{B^2 d^2 i \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{b^2 g^3 (b c-a d)}-\frac{B d^2 i \log (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^2 g^3 (b c-a d)}+\frac{B d^2 i \log (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^2 g^3 (b c-a d)}-\frac{B d i \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^2 g^3 (a+b x)}-\frac{B i (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 b^2 g^3 (a+b x)^2}-\frac{d i \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{b^2 g^3 (a+b x)}-\frac{i (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{2 b^2 g^3 (a+b x)^2}+\frac{B^2 d^2 i \log ^2(a+b x)}{2 b^2 g^3 (b c-a d)}+\frac{B^2 d^2 i \log ^2(c+d x)}{2 b^2 g^3 (b c-a d)}-\frac{B^2 d^2 i \log (a+b x)}{2 b^2 g^3 (b c-a d)}+\frac{B^2 d^2 i \log (c+d x)}{2 b^2 g^3 (b c-a d)}-\frac{B^2 d^2 i \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{b^2 g^3 (b c-a d)}-\frac{B^2 d^2 i \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{b^2 g^3 (b c-a d)}-\frac{B^2 i (b c-a d)}{4 b^2 g^3 (a+b x)^2}-\frac{B^2 d i}{2 b^2 g^3 (a+b x)}","-\frac{i (c+d x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{2 g^3 (a+b x)^2 (b c-a d)}-\frac{B i (c+d x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 g^3 (a+b x)^2 (b c-a d)}-\frac{B^2 i (c+d x)^2}{4 g^3 (a+b x)^2 (b c-a d)}",1,"-(B^2*(b*c - a*d)*i)/(4*b^2*g^3*(a + b*x)^2) - (B^2*d*i)/(2*b^2*g^3*(a + b*x)) - (B^2*d^2*i*Log[a + b*x])/(2*b^2*(b*c - a*d)*g^3) + (B^2*d^2*i*Log[a + b*x]^2)/(2*b^2*(b*c - a*d)*g^3) - (B*(b*c - a*d)*i*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(2*b^2*g^3*(a + b*x)^2) - (B*d*i*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(b^2*g^3*(a + b*x)) - (B*d^2*i*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(b^2*(b*c - a*d)*g^3) - ((b*c - a*d)*i*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(2*b^2*g^3*(a + b*x)^2) - (d*i*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(b^2*g^3*(a + b*x)) + (B^2*d^2*i*Log[c + d*x])/(2*b^2*(b*c - a*d)*g^3) - (B^2*d^2*i*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(b^2*(b*c - a*d)*g^3) + (B*d^2*i*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(b^2*(b*c - a*d)*g^3) + (B^2*d^2*i*Log[c + d*x]^2)/(2*b^2*(b*c - a*d)*g^3) - (B^2*d^2*i*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^2*(b*c - a*d)*g^3) - (B^2*d^2*i*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^2*(b*c - a*d)*g^3) - (B^2*d^2*i*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(b^2*(b*c - a*d)*g^3)","C",58,11,40,0.2750,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391}"
62,1,741,0,2.2905023,"\int \frac{(c i+d i x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(a g+b g x)^4} \, dx","Int[((c*i + d*i*x)*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(a*g + b*g*x)^4,x]","\frac{B^2 d^3 i \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{3 b^2 g^4 (b c-a d)^2}+\frac{B^2 d^3 i \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{3 b^2 g^4 (b c-a d)^2}+\frac{B d^3 i \log (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{3 b^2 g^4 (b c-a d)^2}-\frac{B d^3 i \log (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{3 b^2 g^4 (b c-a d)^2}+\frac{B d^2 i \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{3 b^2 g^4 (a+b x) (b c-a d)}-\frac{d i \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{2 b^2 g^4 (a+b x)^2}-\frac{B d i \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{6 b^2 g^4 (a+b x)^2}-\frac{i (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{3 b^2 g^4 (a+b x)^3}-\frac{2 B i (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{9 b^2 g^4 (a+b x)^3}+\frac{5 B^2 d^2 i}{18 b^2 g^4 (a+b x) (b c-a d)}-\frac{B^2 d^3 i \log ^2(a+b x)}{6 b^2 g^4 (b c-a d)^2}-\frac{B^2 d^3 i \log ^2(c+d x)}{6 b^2 g^4 (b c-a d)^2}+\frac{5 B^2 d^3 i \log (a+b x)}{18 b^2 g^4 (b c-a d)^2}-\frac{5 B^2 d^3 i \log (c+d x)}{18 b^2 g^4 (b c-a d)^2}+\frac{B^2 d^3 i \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{3 b^2 g^4 (b c-a d)^2}+\frac{B^2 d^3 i \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{3 b^2 g^4 (b c-a d)^2}-\frac{2 B^2 i (b c-a d)}{27 b^2 g^4 (a+b x)^3}+\frac{B^2 d i}{36 b^2 g^4 (a+b x)^2}","-\frac{b i (c+d x)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{3 g^4 (a+b x)^3 (b c-a d)^2}-\frac{2 b B i (c+d x)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{9 g^4 (a+b x)^3 (b c-a d)^2}+\frac{d i (c+d x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{2 g^4 (a+b x)^2 (b c-a d)^2}+\frac{B d i (c+d x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 g^4 (a+b x)^2 (b c-a d)^2}-\frac{2 b B^2 i (c+d x)^3}{27 g^4 (a+b x)^3 (b c-a d)^2}+\frac{B^2 d i (c+d x)^2}{4 g^4 (a+b x)^2 (b c-a d)^2}",1,"(-2*B^2*(b*c - a*d)*i)/(27*b^2*g^4*(a + b*x)^3) + (B^2*d*i)/(36*b^2*g^4*(a + b*x)^2) + (5*B^2*d^2*i)/(18*b^2*(b*c - a*d)*g^4*(a + b*x)) + (5*B^2*d^3*i*Log[a + b*x])/(18*b^2*(b*c - a*d)^2*g^4) - (B^2*d^3*i*Log[a + b*x]^2)/(6*b^2*(b*c - a*d)^2*g^4) - (2*B*(b*c - a*d)*i*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(9*b^2*g^4*(a + b*x)^3) - (B*d*i*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(6*b^2*g^4*(a + b*x)^2) + (B*d^2*i*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(3*b^2*(b*c - a*d)*g^4*(a + b*x)) + (B*d^3*i*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(3*b^2*(b*c - a*d)^2*g^4) - ((b*c - a*d)*i*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(3*b^2*g^4*(a + b*x)^3) - (d*i*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(2*b^2*g^4*(a + b*x)^2) - (5*B^2*d^3*i*Log[c + d*x])/(18*b^2*(b*c - a*d)^2*g^4) + (B^2*d^3*i*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(3*b^2*(b*c - a*d)^2*g^4) - (B*d^3*i*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(3*b^2*(b*c - a*d)^2*g^4) - (B^2*d^3*i*Log[c + d*x]^2)/(6*b^2*(b*c - a*d)^2*g^4) + (B^2*d^3*i*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(3*b^2*(b*c - a*d)^2*g^4) + (B^2*d^3*i*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(3*b^2*(b*c - a*d)^2*g^4) + (B^2*d^3*i*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(3*b^2*(b*c - a*d)^2*g^4)","C",66,11,40,0.2750,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391}"
63,1,826,0,2.6113277,"\int \frac{(c i+d i x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(a g+b g x)^5} \, dx","Int[((c*i + d*i*x)*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(a*g + b*g*x)^5,x]","\frac{B^2 i \log ^2(a+b x) d^4}{12 b^2 (b c-a d)^3 g^5}+\frac{B^2 i \log ^2(c+d x) d^4}{12 b^2 (b c-a d)^3 g^5}-\frac{13 B^2 i \log (a+b x) d^4}{72 b^2 (b c-a d)^3 g^5}-\frac{B i \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) d^4}{6 b^2 (b c-a d)^3 g^5}+\frac{13 B^2 i \log (c+d x) d^4}{72 b^2 (b c-a d)^3 g^5}-\frac{B^2 i \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) d^4}{6 b^2 (b c-a d)^3 g^5}+\frac{B i \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x) d^4}{6 b^2 (b c-a d)^3 g^5}-\frac{B^2 i \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) d^4}{6 b^2 (b c-a d)^3 g^5}-\frac{B^2 i \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) d^4}{6 b^2 (b c-a d)^3 g^5}-\frac{B^2 i \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) d^4}{6 b^2 (b c-a d)^3 g^5}-\frac{B i \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) d^3}{6 b^2 (b c-a d)^2 g^5 (a+b x)}-\frac{13 B^2 i d^3}{72 b^2 (b c-a d)^2 g^5 (a+b x)}+\frac{B i \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) d^2}{12 b^2 (b c-a d) g^5 (a+b x)^2}+\frac{B^2 i d^2}{144 b^2 (b c-a d) g^5 (a+b x)^2}-\frac{i \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 d}{3 b^2 g^5 (a+b x)^3}-\frac{B i \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) d}{18 b^2 g^5 (a+b x)^3}+\frac{5 B^2 i d}{216 b^2 g^5 (a+b x)^3}-\frac{(b c-a d) i \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{4 b^2 g^5 (a+b x)^4}-\frac{B (b c-a d) i \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{8 b^2 g^5 (a+b x)^4}-\frac{B^2 (b c-a d) i}{32 b^2 g^5 (a+b x)^4}","-\frac{b^2 i (c+d x)^4 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{4 g^5 (a+b x)^4 (b c-a d)^3}-\frac{b^2 B i (c+d x)^4 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{8 g^5 (a+b x)^4 (b c-a d)^3}-\frac{d^2 i (c+d x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{2 g^5 (a+b x)^2 (b c-a d)^3}-\frac{B d^2 i (c+d x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 g^5 (a+b x)^2 (b c-a d)^3}+\frac{2 b d i (c+d x)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{3 g^5 (a+b x)^3 (b c-a d)^3}+\frac{4 b B d i (c+d x)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{9 g^5 (a+b x)^3 (b c-a d)^3}-\frac{b^2 B^2 i (c+d x)^4}{32 g^5 (a+b x)^4 (b c-a d)^3}-\frac{B^2 d^2 i (c+d x)^2}{4 g^5 (a+b x)^2 (b c-a d)^3}+\frac{4 b B^2 d i (c+d x)^3}{27 g^5 (a+b x)^3 (b c-a d)^3}",1,"-(B^2*(b*c - a*d)*i)/(32*b^2*g^5*(a + b*x)^4) + (5*B^2*d*i)/(216*b^2*g^5*(a + b*x)^3) + (B^2*d^2*i)/(144*b^2*(b*c - a*d)*g^5*(a + b*x)^2) - (13*B^2*d^3*i)/(72*b^2*(b*c - a*d)^2*g^5*(a + b*x)) - (13*B^2*d^4*i*Log[a + b*x])/(72*b^2*(b*c - a*d)^3*g^5) + (B^2*d^4*i*Log[a + b*x]^2)/(12*b^2*(b*c - a*d)^3*g^5) - (B*(b*c - a*d)*i*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(8*b^2*g^5*(a + b*x)^4) - (B*d*i*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(18*b^2*g^5*(a + b*x)^3) + (B*d^2*i*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(12*b^2*(b*c - a*d)*g^5*(a + b*x)^2) - (B*d^3*i*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(6*b^2*(b*c - a*d)^2*g^5*(a + b*x)) - (B*d^4*i*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(6*b^2*(b*c - a*d)^3*g^5) - ((b*c - a*d)*i*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(4*b^2*g^5*(a + b*x)^4) - (d*i*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(3*b^2*g^5*(a + b*x)^3) + (13*B^2*d^4*i*Log[c + d*x])/(72*b^2*(b*c - a*d)^3*g^5) - (B^2*d^4*i*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(6*b^2*(b*c - a*d)^3*g^5) + (B*d^4*i*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(6*b^2*(b*c - a*d)^3*g^5) + (B^2*d^4*i*Log[c + d*x]^2)/(12*b^2*(b*c - a*d)^3*g^5) - (B^2*d^4*i*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(6*b^2*(b*c - a*d)^3*g^5) - (B^2*d^4*i*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(6*b^2*(b*c - a*d)^3*g^5) - (B^2*d^4*i*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(6*b^2*(b*c - a*d)^3*g^5)","C",74,11,40,0.2750,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391}"
64,1,790,0,3.005981,"\int (a g+b g x)^3 (c i+d i x)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 \, dx","Int[(a*g + b*g*x)^3*(c*i + d*i*x)^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2,x]","-\frac{B^2 g^3 i^2 (b c-a d)^6 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{30 b^3 d^4}+\frac{B g^3 i^2 (b c-a d)^6 \log (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{30 b^3 d^4}+\frac{B g^3 i^2 (a+b x)^2 (b c-a d)^4 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{60 b^3 d^2}+\frac{d^2 g^3 i^2 (a+b x)^6 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{6 b^3}-\frac{A B g^3 i^2 x (b c-a d)^5}{30 b^2 d^3}-\frac{B g^3 i^2 (a+b x)^3 (b c-a d)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{90 b^3 d}+\frac{g^3 i^2 (a+b x)^4 (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{4 b^3}-\frac{7 B g^3 i^2 (a+b x)^4 (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{60 b^3}+\frac{2 d g^3 i^2 (a+b x)^5 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{5 b^3}-\frac{B d g^3 i^2 (a+b x)^5 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{15 b^3}-\frac{B^2 g^3 i^2 (a+b x) (b c-a d)^5 \log \left(\frac{e (a+b x)}{c+d x}\right)}{30 b^3 d^3}+\frac{B^2 g^3 i^2 x (b c-a d)^5}{45 b^2 d^3}-\frac{7 B^2 g^3 i^2 (a+b x)^2 (b c-a d)^4}{360 b^3 d^2}+\frac{B^2 g^3 i^2 (b c-a d)^6 \log ^2(c+d x)}{60 b^3 d^4}+\frac{B^2 g^3 i^2 (b c-a d)^6 \log (c+d x)}{90 b^3 d^4}-\frac{B^2 g^3 i^2 (b c-a d)^6 \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{30 b^3 d^4}+\frac{B^2 g^3 i^2 (a+b x)^3 (b c-a d)^3}{60 b^3 d}+\frac{B^2 g^3 i^2 (a+b x)^4 (b c-a d)^2}{60 b^3}","-\frac{B^2 g^3 i^2 (b c-a d)^6 \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{30 b^3 d^4}-\frac{B g^3 i^2 (b c-a d)^6 \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(6 B \log \left(\frac{e (a+b x)}{c+d x}\right)+6 A+11 B\right)}{180 b^3 d^4}-\frac{B g^3 i^2 (a+b x) (b c-a d)^5 \left(6 B \log \left(\frac{e (a+b x)}{c+d x}\right)+6 A+5 B\right)}{180 b^3 d^3}+\frac{B g^3 i^2 (a+b x)^2 (b c-a d)^4 \left(3 B \log \left(\frac{e (a+b x)}{c+d x}\right)+3 A+B\right)}{180 b^3 d^2}-\frac{B g^3 i^2 (a+b x)^3 (b c-a d)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{90 b^3 d}+\frac{g^3 i^2 (a+b x)^4 (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{60 b^3}-\frac{B g^3 i^2 (a+b x)^4 (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{20 b^3}+\frac{g^3 i^2 (a+b x)^4 (c+d x) (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{15 b^2}-\frac{B g^3 i^2 (a+b x)^4 (c+d x) (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{15 b^2}+\frac{g^3 i^2 (a+b x)^4 (c+d x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{6 b}+\frac{3 B^2 g^3 i^2 x (b c-a d)^5}{20 b^2 d^3}-\frac{B^2 g^3 i^2 (b c-a d)^6 \log (c+d x)}{20 b^3 d^4}+\frac{B^2 g^3 i^2 (a+b x)^4 (b c-a d)^2}{60 b^3}-\frac{3 B^2 g^3 i^2 (c+d x)^2 (b c-a d)^4}{40 b d^4}+\frac{B^2 g^3 i^2 (c+d x)^3 (b c-a d)^3}{60 d^4}",1,"-(A*B*(b*c - a*d)^5*g^3*i^2*x)/(30*b^2*d^3) + (B^2*(b*c - a*d)^5*g^3*i^2*x)/(45*b^2*d^3) - (7*B^2*(b*c - a*d)^4*g^3*i^2*(a + b*x)^2)/(360*b^3*d^2) + (B^2*(b*c - a*d)^3*g^3*i^2*(a + b*x)^3)/(60*b^3*d) + (B^2*(b*c - a*d)^2*g^3*i^2*(a + b*x)^4)/(60*b^3) - (B^2*(b*c - a*d)^5*g^3*i^2*(a + b*x)*Log[(e*(a + b*x))/(c + d*x)])/(30*b^3*d^3) + (B*(b*c - a*d)^4*g^3*i^2*(a + b*x)^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(60*b^3*d^2) - (B*(b*c - a*d)^3*g^3*i^2*(a + b*x)^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(90*b^3*d) - (7*B*(b*c - a*d)^2*g^3*i^2*(a + b*x)^4*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(60*b^3) - (B*d*(b*c - a*d)*g^3*i^2*(a + b*x)^5*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(15*b^3) + ((b*c - a*d)^2*g^3*i^2*(a + b*x)^4*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(4*b^3) + (2*d*(b*c - a*d)*g^3*i^2*(a + b*x)^5*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(5*b^3) + (d^2*g^3*i^2*(a + b*x)^6*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(6*b^3) + (B^2*(b*c - a*d)^6*g^3*i^2*Log[c + d*x])/(90*b^3*d^4) - (B^2*(b*c - a*d)^6*g^3*i^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(30*b^3*d^4) + (B*(b*c - a*d)^6*g^3*i^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(30*b^3*d^4) + (B^2*(b*c - a*d)^6*g^3*i^2*Log[c + d*x]^2)/(60*b^3*d^4) - (B^2*(b*c - a*d)^6*g^3*i^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(30*b^3*d^4)","A",86,13,42,0.3095,1,"{2528, 2525, 12, 2486, 31, 43, 2524, 2418, 2394, 2393, 2391, 2390, 2301}"
65,1,666,0,2.3962487,"\int (a g+b g x)^2 (c i+d i x)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 \, dx","Int[(a*g + b*g*x)^2*(c*i + d*i*x)^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2,x]","\frac{B^2 g^2 i^2 (b c-a d)^5 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{15 b^3 d^3}-\frac{B g^2 i^2 (b c-a d)^5 \log (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{15 b^3 d^3}+\frac{d^2 g^2 i^2 (a+b x)^5 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{5 b^3}+\frac{A B g^2 i^2 x (b c-a d)^4}{15 b^2 d^2}-\frac{B g^2 i^2 (a+b x)^2 (b c-a d)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{30 b^3 d}+\frac{g^2 i^2 (a+b x)^3 (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{3 b^3}-\frac{B g^2 i^2 (a+b x)^3 (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{5 b^3}+\frac{d g^2 i^2 (a+b x)^4 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{2 b^3}-\frac{B d g^2 i^2 (a+b x)^4 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{10 b^3}+\frac{B^2 g^2 i^2 (a+b x) (b c-a d)^4 \log \left(\frac{e (a+b x)}{c+d x}\right)}{15 b^3 d^2}-\frac{B^2 g^2 i^2 x (b c-a d)^4}{15 b^2 d^2}-\frac{B^2 g^2 i^2 (b c-a d)^5 \log ^2(c+d x)}{30 b^3 d^3}+\frac{B^2 g^2 i^2 (b c-a d)^5 \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{15 b^3 d^3}+\frac{B^2 g^2 i^2 (a+b x)^2 (b c-a d)^3}{20 b^3 d}+\frac{B^2 g^2 i^2 (a+b x)^3 (b c-a d)^2}{30 b^3}","\frac{B^2 g^2 i^2 (b c-a d)^5 \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{15 b^3 d^3}+\frac{B g^2 i^2 (b c-a d)^5 \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(2 B \log \left(\frac{e (a+b x)}{c+d x}\right)+2 A+3 B\right)}{30 b^3 d^3}+\frac{B g^2 i^2 (a+b x) (b c-a d)^4 \left(2 B \log \left(\frac{e (a+b x)}{c+d x}\right)+2 A+B\right)}{30 b^3 d^2}-\frac{B g^2 i^2 (a+b x)^2 (b c-a d)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{30 b^3 d}+\frac{g^2 i^2 (a+b x)^3 (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{30 b^3}-\frac{B g^2 i^2 (a+b x)^3 (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{15 b^3}+\frac{g^2 i^2 (a+b x)^3 (c+d x) (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{10 b^2}-\frac{B g^2 i^2 (c+d x)^2 (b c-a d)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{5 b d^3}+\frac{4 B g^2 i^2 (c+d x)^3 (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{15 d^3}-\frac{b B g^2 i^2 (c+d x)^4 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{10 d^3}+\frac{g^2 i^2 (a+b x)^3 (c+d x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{5 b}-\frac{B^2 g^2 i^2 x (b c-a d)^4}{10 b^2 d^2}+\frac{B^2 g^2 i^2 (b c-a d)^5 \log \left(\frac{a+b x}{c+d x}\right)}{30 b^3 d^3}+\frac{B^2 g^2 i^2 (b c-a d)^5 \log (c+d x)}{10 b^3 d^3}-\frac{B^2 g^2 i^2 (c+d x)^2 (b c-a d)^3}{20 b d^3}+\frac{B^2 g^2 i^2 (c+d x)^3 (b c-a d)^2}{30 d^3}",1,"(A*B*(b*c - a*d)^4*g^2*i^2*x)/(15*b^2*d^2) - (B^2*(b*c - a*d)^4*g^2*i^2*x)/(15*b^2*d^2) + (B^2*(b*c - a*d)^3*g^2*i^2*(a + b*x)^2)/(20*b^3*d) + (B^2*(b*c - a*d)^2*g^2*i^2*(a + b*x)^3)/(30*b^3) + (B^2*(b*c - a*d)^4*g^2*i^2*(a + b*x)*Log[(e*(a + b*x))/(c + d*x)])/(15*b^3*d^2) - (B*(b*c - a*d)^3*g^2*i^2*(a + b*x)^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(30*b^3*d) - (B*(b*c - a*d)^2*g^2*i^2*(a + b*x)^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(5*b^3) - (B*d*(b*c - a*d)*g^2*i^2*(a + b*x)^4*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(10*b^3) + ((b*c - a*d)^2*g^2*i^2*(a + b*x)^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(3*b^3) + (d*(b*c - a*d)*g^2*i^2*(a + b*x)^4*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(2*b^3) + (d^2*g^2*i^2*(a + b*x)^5*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(5*b^3) + (B^2*(b*c - a*d)^5*g^2*i^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(15*b^3*d^3) - (B*(b*c - a*d)^5*g^2*i^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(15*b^3*d^3) - (B^2*(b*c - a*d)^5*g^2*i^2*Log[c + d*x]^2)/(30*b^3*d^3) + (B^2*(b*c - a*d)^5*g^2*i^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(15*b^3*d^3)","A",74,13,42,0.3095,1,"{2528, 2525, 12, 2486, 31, 43, 2524, 2418, 2394, 2393, 2391, 2390, 2301}"
66,1,570,0,1.5865052,"\int (a g+b g x) (c i+d i x)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 \, dx","Int[(a*g + b*g*x)*(c*i + d*i*x)^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2,x]","\frac{B^2 g i^2 (b c-a d)^4 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{6 b^3 d^2}+\frac{B g i^2 (b c-a d)^4 \log (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{6 b^3 d^2}+\frac{A B g i^2 x (b c-a d)^3}{6 b^2 d}+\frac{B g i^2 (c+d x)^2 (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{12 b d^2}-\frac{g i^2 (c+d x)^3 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{3 d^2}-\frac{B g i^2 (c+d x)^3 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{6 d^2}+\frac{b g i^2 (c+d x)^4 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{4 d^2}-\frac{B^2 g i^2 (b c-a d)^4 \log ^2(a+b x)}{12 b^3 d^2}+\frac{B^2 g i^2 (b c-a d)^4 \log (a+b x)}{12 b^3 d^2}-\frac{B^2 g i^2 (b c-a d)^4 \log (c+d x)}{6 b^3 d^2}+\frac{B^2 g i^2 (b c-a d)^4 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{6 b^3 d^2}+\frac{B^2 g i^2 (a+b x) (b c-a d)^3 \log \left(\frac{e (a+b x)}{c+d x}\right)}{6 b^3 d}+\frac{B^2 g i^2 x (b c-a d)^3}{12 b^2 d}+\frac{B^2 g i^2 (c+d x)^2 (b c-a d)^2}{12 b d^2}","-\frac{B^2 g i^2 (b c-a d)^4 \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{6 b^3 d^2}-\frac{B g i^2 (b c-a d)^4 \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A+B\right)}{6 b^3 d^2}-\frac{B g i^2 (a+b x) (b c-a d)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{6 b^3 d}+\frac{g i^2 (a+b x)^2 (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{12 b^3}-\frac{B g i^2 (a+b x)^2 (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{6 b^3}+\frac{g i^2 (a+b x)^2 (c+d x) (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{6 b^2}+\frac{B g i^2 (c+d x)^2 (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{4 b d^2}-\frac{B g i^2 (c+d x)^3 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{6 d^2}+\frac{g i^2 (a+b x)^2 (c+d x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{4 b}-\frac{B^2 g i^2 (b c-a d)^4 \log \left(\frac{a+b x}{c+d x}\right)}{12 b^3 d^2}-\frac{B^2 g i^2 (b c-a d)^4 \log (c+d x)}{4 b^3 d^2}+\frac{B^2 g i^2 x (b c-a d)^3}{12 b^2 d}+\frac{B^2 g i^2 (c+d x)^2 (b c-a d)^2}{12 b d^2}",1,"(A*B*(b*c - a*d)^3*g*i^2*x)/(6*b^2*d) + (B^2*(b*c - a*d)^3*g*i^2*x)/(12*b^2*d) + (B^2*(b*c - a*d)^2*g*i^2*(c + d*x)^2)/(12*b*d^2) + (B^2*(b*c - a*d)^4*g*i^2*Log[a + b*x])/(12*b^3*d^2) - (B^2*(b*c - a*d)^4*g*i^2*Log[a + b*x]^2)/(12*b^3*d^2) + (B^2*(b*c - a*d)^3*g*i^2*(a + b*x)*Log[(e*(a + b*x))/(c + d*x)])/(6*b^3*d) + (B*(b*c - a*d)^2*g*i^2*(c + d*x)^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(12*b*d^2) - (B*(b*c - a*d)*g*i^2*(c + d*x)^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(6*d^2) + (B*(b*c - a*d)^4*g*i^2*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(6*b^3*d^2) - ((b*c - a*d)*g*i^2*(c + d*x)^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(3*d^2) + (b*g*i^2*(c + d*x)^4*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(4*d^2) - (B^2*(b*c - a*d)^4*g*i^2*Log[c + d*x])/(6*b^3*d^2) + (B^2*(b*c - a*d)^4*g*i^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(6*b^3*d^2) + (B^2*(b*c - a*d)^4*g*i^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(6*b^3*d^2)","A",46,13,40,0.3250,1,"{2528, 2525, 12, 2486, 31, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 43}"
67,1,420,0,0.5315495,"\int (c i+d i x)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 \, dx","Int[(c*i + d*i*x)^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2,x]","-\frac{2 B^2 i^2 (b c-a d)^3 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{3 b^3 d}-\frac{2 B i^2 (b c-a d)^3 \log (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{3 b^3 d}-\frac{2 A B i^2 x (b c-a d)^2}{3 b^2}-\frac{B i^2 (c+d x)^2 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{3 b d}+\frac{i^2 (c+d x)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{3 d}-\frac{2 B^2 i^2 (a+b x) (b c-a d)^2 \log \left(\frac{e (a+b x)}{c+d x}\right)}{3 b^3}+\frac{B^2 i^2 x (b c-a d)^2}{3 b^2}+\frac{B^2 i^2 (b c-a d)^3 \log ^2(a+b x)}{3 b^3 d}+\frac{B^2 i^2 (b c-a d)^3 \log (a+b x)}{3 b^3 d}+\frac{2 B^2 i^2 (b c-a d)^3 \log (c+d x)}{3 b^3 d}-\frac{2 B^2 i^2 (b c-a d)^3 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{3 b^3 d}","-\frac{2 B^2 i^2 (b c-a d)^3 \text{PolyLog}\left(2,\frac{b (c+d x)}{d (a+b x)}\right)}{3 b^3 d}+\frac{2 B i^2 (b c-a d)^3 \log \left(1-\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{3 b^3 d}-\frac{2 B i^2 (a+b x) (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{3 b^3}-\frac{B i^2 (c+d x)^2 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{3 b d}+\frac{i^2 (c+d x)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{3 d}+\frac{B^2 i^2 x (b c-a d)^2}{3 b^2}+\frac{B^2 i^2 (b c-a d)^3 \log \left(\frac{a+b x}{c+d x}\right)}{3 b^3 d}+\frac{B^2 i^2 (b c-a d)^3 \log (c+d x)}{b^3 d}",1,"(-2*A*B*(b*c - a*d)^2*i^2*x)/(3*b^2) + (B^2*(b*c - a*d)^2*i^2*x)/(3*b^2) + (B^2*(b*c - a*d)^3*i^2*Log[a + b*x])/(3*b^3*d) + (B^2*(b*c - a*d)^3*i^2*Log[a + b*x]^2)/(3*b^3*d) - (2*B^2*(b*c - a*d)^2*i^2*(a + b*x)*Log[(e*(a + b*x))/(c + d*x)])/(3*b^3) - (B*(b*c - a*d)*i^2*(c + d*x)^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(3*b*d) - (2*B*(b*c - a*d)^3*i^2*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(3*b^3*d) + (i^2*(c + d*x)^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(3*d) + (2*B^2*(b*c - a*d)^3*i^2*Log[c + d*x])/(3*b^3*d) - (2*B^2*(b*c - a*d)^3*i^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(3*b^3*d) - (2*B^2*(b*c - a*d)^3*i^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(3*b^3*d)","A",20,13,32,0.4062,1,"{2525, 12, 2528, 2486, 31, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 43}"
68,1,1676,0,5.1233009,"\int \frac{(c i+d i x)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{a g+b g x} \, dx","Int[((c*i + d*i*x)^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(a*g + b*g*x),x]","\frac{B^2 (b c-a d)^2 i^2 \log ^3(g (a+b x))}{3 b^3 g}-\frac{A B (b c-a d)^2 i^2 \log ^2(g (a+b x))}{b^3 g}-\frac{B^2 (b c-a d)^2 i^2 \log (-c-d x) \log ^2(g (a+b x))}{b^3 g}+\frac{B^2 (b c-a d)^2 i^2 \log \left(\frac{b (c+d x)}{b c-a d}\right) \log ^2(g (a+b x))}{b^3 g}-\frac{B^2 (b c-a d)^2 i^2 \log ^2\left(\frac{1}{c+d x}\right) \log (g (a+b x))}{b^3 g}+\frac{2 B^2 (b c-a d)^2 i^2 \log (a+b x) \log (-c-d x) \log (g (a+b x))}{b^3 g}+\frac{B^2 (b c-a d)^2 i^2 \log ^2(a+b x)}{2 b^3 g}-\frac{a B^2 d (b c-a d) i^2 \log ^2(a+b x)}{b^3 g}+\frac{B^2 (b c-a d)^2 i^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2\left(\frac{1}{c+d x}\right)}{b^3 g}+\frac{i^2 (c+d x)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{2 b g}+\frac{d (b c-a d) i^2 x \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{b^2 g}-\frac{B^2 c (b c-a d) i^2 \log ^2(c+d x)}{b^2 g}-\frac{B^2 (b c-a d)^2 i^2 \log \left(\frac{e (a+b x)}{c+d x}\right) \log ^2(a g+b x g)}{b^3 g}-\frac{B^2 (b c-a d)^2 i^2 \log \left(\frac{b (c+d x)}{b c-a d}\right) \log ^2(a g+b x g)}{b^3 g}-\frac{A B d (b c-a d) i^2 x}{b^2 g}-\frac{B^2 (b c-a d)^2 i^2 \log ^2(a+b x) \log (-c-d x)}{b^3 g}-\frac{B^2 d (b c-a d) i^2 (a+b x) \log \left(\frac{e (a+b x)}{c+d x}\right)}{b^3 g}-\frac{B (b c-a d)^2 i^2 \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{b^3 g}+\frac{2 a B d (b c-a d) i^2 \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{b^3 g}+\frac{B^2 (b c-a d)^2 i^2 \log (c+d x)}{b^3 g}+\frac{2 B^2 c (b c-a d) i^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{b^2 g}-\frac{2 B c (b c-a d) i^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x)}{b^2 g}+\frac{B^2 (b c-a d)^2 i^2 \log ^2(a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{b^3 g}-\frac{B^2 (b c-a d)^2 i^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{b^3 g}+\frac{2 a B^2 d (b c-a d) i^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{b^3 g}+\frac{(b c-a d)^2 i^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 \log (a g+b x g)}{b^3 g}+\frac{2 A B (b c-a d)^2 i^2 \log \left(\frac{b (c+d x)}{b c-a d}\right) \log (a g+b x g)}{b^3 g}-\frac{2 B^2 (b c-a d)^2 i^2 \left(\log (a+b x)+\log \left(\frac{1}{c+d x}\right)-\log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log \left(\frac{b (c+d x)}{b c-a d}\right) \log (a g+b x g)}{b^3 g}-\frac{B^2 (b c-a d)^2 i^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{b^3 g}+\frac{2 A B (b c-a d)^2 i^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{b^3 g}+\frac{2 a B^2 d (b c-a d) i^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{b^3 g}+\frac{2 B^2 (b c-a d)^2 i^2 \log (a+b x) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{b^3 g}-\frac{2 B^2 (b c-a d)^2 i^2 \left(\log (a+b x)+\log \left(\frac{1}{c+d x}\right)-\log \left(\frac{e (a+b x)}{c+d x}\right)\right) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{b^3 g}+\frac{2 B^2 c (b c-a d) i^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{b^2 g}-\frac{2 B^2 (b c-a d)^2 i^2 \log \left(\frac{1}{c+d x}\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{b^3 g}-\frac{2 B^2 (b c-a d)^2 i^2 \text{PolyLog}\left(3,-\frac{d (a+b x)}{b c-a d}\right)}{b^3 g}-\frac{2 B^2 (b c-a d)^2 i^2 \text{PolyLog}\left(3,\frac{b (c+d x)}{b c-a d}\right)}{b^3 g}","\frac{2 B i^2 (b c-a d)^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^3 g}+\frac{2 B^2 i^2 (b c-a d)^2 \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{b^3 g}-\frac{B^2 i^2 (b c-a d)^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{d (a+b x)}\right)}{b^3 g}+\frac{2 B^2 i^2 (b c-a d)^2 \text{PolyLog}\left(3,\frac{b (c+d x)}{d (a+b x)}\right)}{b^3 g}+\frac{d i^2 (a+b x) (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{b^3 g}-\frac{B d i^2 (a+b x) (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^3 g}+\frac{2 B i^2 (b c-a d)^2 \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^3 g}-\frac{i^2 (b c-a d)^2 \log \left(1-\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{b^3 g}+\frac{B i^2 (b c-a d)^2 \log \left(1-\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^3 g}+\frac{i^2 (c+d x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{2 b g}+\frac{B^2 i^2 (b c-a d)^2 \log (c+d x)}{b^3 g}",1,"-((A*B*d*(b*c - a*d)*i^2*x)/(b^2*g)) - (a*B^2*d*(b*c - a*d)*i^2*Log[a + b*x]^2)/(b^3*g) + (B^2*(b*c - a*d)^2*i^2*Log[a + b*x]^2)/(2*b^3*g) - (A*B*(b*c - a*d)^2*i^2*Log[g*(a + b*x)]^2)/(b^3*g) + (B^2*(b*c - a*d)^2*i^2*Log[g*(a + b*x)]^3)/(3*b^3*g) - (B^2*(b*c - a*d)^2*i^2*Log[a + b*x]^2*Log[-c - d*x])/(b^3*g) + (2*B^2*(b*c - a*d)^2*i^2*Log[a + b*x]*Log[g*(a + b*x)]*Log[-c - d*x])/(b^3*g) - (B^2*(b*c - a*d)^2*i^2*Log[g*(a + b*x)]^2*Log[-c - d*x])/(b^3*g) + (B^2*(b*c - a*d)^2*i^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[(c + d*x)^(-1)]^2)/(b^3*g) - (B^2*(b*c - a*d)^2*i^2*Log[g*(a + b*x)]*Log[(c + d*x)^(-1)]^2)/(b^3*g) - (B^2*d*(b*c - a*d)*i^2*(a + b*x)*Log[(e*(a + b*x))/(c + d*x)])/(b^3*g) + (2*a*B*d*(b*c - a*d)*i^2*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(b^3*g) - (B*(b*c - a*d)^2*i^2*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(b^3*g) + (d*(b*c - a*d)*i^2*x*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(b^2*g) + (i^2*(c + d*x)^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(2*b*g) + (B^2*(b*c - a*d)^2*i^2*Log[c + d*x])/(b^3*g) + (2*B^2*c*(b*c - a*d)*i^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(b^2*g) - (2*B*c*(b*c - a*d)*i^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(b^2*g) - (B^2*c*(b*c - a*d)*i^2*Log[c + d*x]^2)/(b^2*g) + (2*a*B^2*d*(b*c - a*d)*i^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^3*g) - (B^2*(b*c - a*d)^2*i^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^3*g) + (B^2*(b*c - a*d)^2*i^2*Log[a + b*x]^2*Log[(b*(c + d*x))/(b*c - a*d)])/(b^3*g) + (B^2*(b*c - a*d)^2*i^2*Log[g*(a + b*x)]^2*Log[(b*(c + d*x))/(b*c - a*d)])/(b^3*g) + ((b*c - a*d)^2*i^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2*Log[a*g + b*g*x])/(b^3*g) + (2*A*B*(b*c - a*d)^2*i^2*Log[(b*(c + d*x))/(b*c - a*d)]*Log[a*g + b*g*x])/(b^3*g) - (2*B^2*(b*c - a*d)^2*i^2*(Log[a + b*x] + Log[(c + d*x)^(-1)] - Log[(e*(a + b*x))/(c + d*x)])*Log[(b*(c + d*x))/(b*c - a*d)]*Log[a*g + b*g*x])/(b^3*g) - (B^2*(b*c - a*d)^2*i^2*Log[(e*(a + b*x))/(c + d*x)]*Log[a*g + b*g*x]^2)/(b^3*g) - (B^2*(b*c - a*d)^2*i^2*Log[(b*(c + d*x))/(b*c - a*d)]*Log[a*g + b*g*x]^2)/(b^3*g) + (2*a*B^2*d*(b*c - a*d)*i^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^3*g) + (2*A*B*(b*c - a*d)^2*i^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^3*g) - (B^2*(b*c - a*d)^2*i^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^3*g) + (2*B^2*(b*c - a*d)^2*i^2*Log[a + b*x]*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^3*g) - (2*B^2*(b*c - a*d)^2*i^2*(Log[a + b*x] + Log[(c + d*x)^(-1)] - Log[(e*(a + b*x))/(c + d*x)])*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^3*g) + (2*B^2*c*(b*c - a*d)*i^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(b^2*g) - (2*B^2*(b*c - a*d)^2*i^2*Log[(c + d*x)^(-1)]*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(b^3*g) - (2*B^2*(b*c - a*d)^2*i^2*PolyLog[3, -((d*(a + b*x))/(b*c - a*d))])/(b^3*g) - (2*B^2*(b*c - a*d)^2*i^2*PolyLog[3, (b*(c + d*x))/(b*c - a*d)])/(b^3*g)","B",86,27,42,0.6429,1,"{2528, 2523, 12, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 6688, 6742, 2500, 2440, 2434, 2433, 2375, 2317, 2374, 6589, 2499, 2302, 30, 2396, 2525, 2486, 31}"
69,1,1219,0,3.8866152,"\int \frac{(c i+d i x)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(a g+b g x)^2} \, dx","Int[((c*i + d*i*x)^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(a*g + b*g*x)^2,x]","-\frac{a B^2 d^2 \log ^2(a+b x) i^2}{b^3 g^2}+\frac{B^2 d (b c-a d) \log ^2(a+b x) i^2}{b^3 g^2}-\frac{2 A B d (b c-a d) \log ^2(a+b x) i^2}{b^3 g^2}-\frac{2 B^2 d (b c-a d) \log \left(-\frac{b c-a d}{d (a+b x)}\right) \log ^2\left(\frac{e (a+b x)}{c+d x}\right) i^2}{b^3 g^2}-\frac{2 B^2 d (b c-a d) \log (a+b x) \log ^2\left(\frac{e (a+b x)}{c+d x}\right) i^2}{b^3 g^2}+\frac{d^2 x \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 i^2}{b^2 g^2}+\frac{2 d (b c-a d) \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 i^2}{b^3 g^2}-\frac{(b c-a d)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 i^2}{b^3 g^2 (a+b x)}-\frac{B^2 c d \log ^2(c+d x) i^2}{b^2 g^2}+\frac{B^2 d (b c-a d) \log ^2(c+d x) i^2}{b^3 g^2}-\frac{2 B^2 d (b c-a d) \log (a+b x) i^2}{b^3 g^2}+\frac{2 a B d^2 \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) i^2}{b^3 g^2}-\frac{2 B d (b c-a d) \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) i^2}{b^3 g^2}-\frac{2 B (b c-a d)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) i^2}{b^3 g^2 (a+b x)}+\frac{2 B^2 c d \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) i^2}{b^2 g^2}-\frac{2 B^2 d (b c-a d) \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) i^2}{b^3 g^2}-\frac{2 B c d \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x) i^2}{b^2 g^2}+\frac{2 B d (b c-a d) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x) i^2}{b^3 g^2}+\frac{2 B^2 d (b c-a d) \log (c+d x) i^2}{b^3 g^2}+\frac{2 a B^2 d^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) i^2}{b^3 g^2}-\frac{2 B^2 d (b c-a d) \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) i^2}{b^3 g^2}+\frac{4 A B d (b c-a d) \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) i^2}{b^3 g^2}+\frac{2 a B^2 d^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) i^2}{b^3 g^2}-\frac{2 B^2 d (b c-a d) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) i^2}{b^3 g^2}+\frac{4 A B d (b c-a d) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) i^2}{b^3 g^2}+\frac{2 B^2 c d \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) i^2}{b^2 g^2}-\frac{2 B^2 d (b c-a d) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) i^2}{b^3 g^2}+\frac{4 B^2 d (b c-a d) \log \left(\frac{e (a+b x)}{c+d x}\right) \text{PolyLog}\left(2,\frac{b c-a d}{d (a+b x)}+1\right) i^2}{b^3 g^2}+\frac{4 B^2 d (b c-a d) \text{PolyLog}\left(3,\frac{b c-a d}{d (a+b x)}+1\right) i^2}{b^3 g^2}-\frac{2 B^2 (b c-a d)^2 i^2}{b^3 g^2 (a+b x)}","\frac{4 B d i^2 (b c-a d) \text{PolyLog}\left(2,\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^3 g^2}+\frac{2 B^2 d i^2 (b c-a d) \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{b^3 g^2}+\frac{4 B^2 d i^2 (b c-a d) \text{PolyLog}\left(3,\frac{b (c+d x)}{d (a+b x)}\right)}{b^3 g^2}+\frac{d^2 i^2 (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{b^3 g^2}-\frac{i^2 (c+d x) (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{b^2 g^2 (a+b x)}-\frac{2 B i^2 (c+d x) (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^2 g^2 (a+b x)}+\frac{2 B d i^2 (b c-a d) \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^3 g^2}-\frac{2 d i^2 (b c-a d) \log \left(1-\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{b^3 g^2}-\frac{2 B^2 i^2 (c+d x) (b c-a d)}{b^2 g^2 (a+b x)}",1,"(-2*B^2*(b*c - a*d)^2*i^2)/(b^3*g^2*(a + b*x)) - (2*B^2*d*(b*c - a*d)*i^2*Log[a + b*x])/(b^3*g^2) - (a*B^2*d^2*i^2*Log[a + b*x]^2)/(b^3*g^2) - (2*A*B*d*(b*c - a*d)*i^2*Log[a + b*x]^2)/(b^3*g^2) + (B^2*d*(b*c - a*d)*i^2*Log[a + b*x]^2)/(b^3*g^2) - (2*B^2*d*(b*c - a*d)*i^2*Log[-((b*c - a*d)/(d*(a + b*x)))]*Log[(e*(a + b*x))/(c + d*x)]^2)/(b^3*g^2) - (2*B^2*d*(b*c - a*d)*i^2*Log[a + b*x]*Log[(e*(a + b*x))/(c + d*x)]^2)/(b^3*g^2) - (2*B*(b*c - a*d)^2*i^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(b^3*g^2*(a + b*x)) + (2*a*B*d^2*i^2*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(b^3*g^2) - (2*B*d*(b*c - a*d)*i^2*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(b^3*g^2) + (d^2*i^2*x*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(b^2*g^2) - ((b*c - a*d)^2*i^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(b^3*g^2*(a + b*x)) + (2*d*(b*c - a*d)*i^2*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(b^3*g^2) + (2*B^2*d*(b*c - a*d)*i^2*Log[c + d*x])/(b^3*g^2) + (2*B^2*c*d*i^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(b^2*g^2) - (2*B^2*d*(b*c - a*d)*i^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(b^3*g^2) - (2*B*c*d*i^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(b^2*g^2) + (2*B*d*(b*c - a*d)*i^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(b^3*g^2) - (B^2*c*d*i^2*Log[c + d*x]^2)/(b^2*g^2) + (B^2*d*(b*c - a*d)*i^2*Log[c + d*x]^2)/(b^3*g^2) + (2*a*B^2*d^2*i^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^3*g^2) + (4*A*B*d*(b*c - a*d)*i^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^3*g^2) - (2*B^2*d*(b*c - a*d)*i^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^3*g^2) + (2*a*B^2*d^2*i^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^3*g^2) + (4*A*B*d*(b*c - a*d)*i^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^3*g^2) - (2*B^2*d*(b*c - a*d)*i^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^3*g^2) + (2*B^2*c*d*i^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(b^2*g^2) - (2*B^2*d*(b*c - a*d)*i^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(b^3*g^2) + (4*B^2*d*(b*c - a*d)*i^2*Log[(e*(a + b*x))/(c + d*x)]*PolyLog[2, 1 + (b*c - a*d)/(d*(a + b*x))])/(b^3*g^2) + (4*B^2*d*(b*c - a*d)*i^2*PolyLog[3, 1 + (b*c - a*d)/(d*(a + b*x))])/(b^3*g^2)","B",65,21,42,0.5000,1,"{2528, 2523, 12, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 2525, 44, 6688, 6742, 2411, 2344, 2317, 2507, 2488, 2506, 6610}"
70,1,932,0,4.0612588,"\int \frac{(c i+d i x)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(a g+b g x)^3} \, dx","Int[((c*i + d*i*x)^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(a*g + b*g*x)^3,x]","\frac{3 B^2 d^2 \log ^2(a+b x) i^2}{2 b^3 g^3}-\frac{A B d^2 \log ^2(a+b x) i^2}{b^3 g^3}-\frac{B^2 d^2 \log \left(-\frac{b c-a d}{d (a+b x)}\right) \log ^2\left(\frac{e (a+b x)}{c+d x}\right) i^2}{b^3 g^3}-\frac{B^2 d^2 \log (a+b x) \log ^2\left(\frac{e (a+b x)}{c+d x}\right) i^2}{b^3 g^3}+\frac{d^2 \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 i^2}{b^3 g^3}-\frac{2 d (b c-a d) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 i^2}{b^3 g^3 (a+b x)}-\frac{(b c-a d)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 i^2}{2 b^3 g^3 (a+b x)^2}+\frac{3 B^2 d^2 \log ^2(c+d x) i^2}{2 b^3 g^3}-\frac{5 B^2 d^2 \log (a+b x) i^2}{2 b^3 g^3}-\frac{3 B d^2 \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) i^2}{b^3 g^3}-\frac{3 B d (b c-a d) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) i^2}{b^3 g^3 (a+b x)}-\frac{B (b c-a d)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) i^2}{2 b^3 g^3 (a+b x)^2}-\frac{3 B^2 d^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) i^2}{b^3 g^3}+\frac{3 B d^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x) i^2}{b^3 g^3}+\frac{5 B^2 d^2 \log (c+d x) i^2}{2 b^3 g^3}-\frac{3 B^2 d^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) i^2}{b^3 g^3}+\frac{2 A B d^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) i^2}{b^3 g^3}-\frac{3 B^2 d^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) i^2}{b^3 g^3}+\frac{2 A B d^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) i^2}{b^3 g^3}-\frac{3 B^2 d^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) i^2}{b^3 g^3}+\frac{2 B^2 d^2 \log \left(\frac{e (a+b x)}{c+d x}\right) \text{PolyLog}\left(2,\frac{b c-a d}{d (a+b x)}+1\right) i^2}{b^3 g^3}+\frac{2 B^2 d^2 \text{PolyLog}\left(3,\frac{b c-a d}{d (a+b x)}+1\right) i^2}{b^3 g^3}-\frac{5 B^2 d (b c-a d) i^2}{2 b^3 g^3 (a+b x)}-\frac{B^2 (b c-a d)^2 i^2}{4 b^3 g^3 (a+b x)^2}","\frac{2 B d^2 i^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^3 g^3}+\frac{2 B^2 d^2 i^2 \text{PolyLog}\left(3,\frac{b (c+d x)}{d (a+b x)}\right)}{b^3 g^3}-\frac{d^2 i^2 \log \left(1-\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{b^3 g^3}-\frac{d i^2 (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{b^2 g^3 (a+b x)}-\frac{2 B d i^2 (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^2 g^3 (a+b x)}-\frac{i^2 (c+d x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{2 b g^3 (a+b x)^2}-\frac{B i^2 (c+d x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 b g^3 (a+b x)^2}-\frac{2 B^2 d i^2 (c+d x)}{b^2 g^3 (a+b x)}-\frac{B^2 i^2 (c+d x)^2}{4 b g^3 (a+b x)^2}",1,"-(B^2*(b*c - a*d)^2*i^2)/(4*b^3*g^3*(a + b*x)^2) - (5*B^2*d*(b*c - a*d)*i^2)/(2*b^3*g^3*(a + b*x)) - (5*B^2*d^2*i^2*Log[a + b*x])/(2*b^3*g^3) - (A*B*d^2*i^2*Log[a + b*x]^2)/(b^3*g^3) + (3*B^2*d^2*i^2*Log[a + b*x]^2)/(2*b^3*g^3) - (B^2*d^2*i^2*Log[-((b*c - a*d)/(d*(a + b*x)))]*Log[(e*(a + b*x))/(c + d*x)]^2)/(b^3*g^3) - (B^2*d^2*i^2*Log[a + b*x]*Log[(e*(a + b*x))/(c + d*x)]^2)/(b^3*g^3) - (B*(b*c - a*d)^2*i^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(2*b^3*g^3*(a + b*x)^2) - (3*B*d*(b*c - a*d)*i^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(b^3*g^3*(a + b*x)) - (3*B*d^2*i^2*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(b^3*g^3) - ((b*c - a*d)^2*i^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(2*b^3*g^3*(a + b*x)^2) - (2*d*(b*c - a*d)*i^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(b^3*g^3*(a + b*x)) + (d^2*i^2*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(b^3*g^3) + (5*B^2*d^2*i^2*Log[c + d*x])/(2*b^3*g^3) - (3*B^2*d^2*i^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(b^3*g^3) + (3*B*d^2*i^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(b^3*g^3) + (3*B^2*d^2*i^2*Log[c + d*x]^2)/(2*b^3*g^3) + (2*A*B*d^2*i^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^3*g^3) - (3*B^2*d^2*i^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^3*g^3) + (2*A*B*d^2*i^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^3*g^3) - (3*B^2*d^2*i^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^3*g^3) - (3*B^2*d^2*i^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(b^3*g^3) + (2*B^2*d^2*i^2*Log[(e*(a + b*x))/(c + d*x)]*PolyLog[2, 1 + (b*c - a*d)/(d*(a + b*x))])/(b^3*g^3) + (2*B^2*d^2*i^2*PolyLog[3, 1 + (b*c - a*d)/(d*(a + b*x))])/(b^3*g^3)","B",73,20,42,0.4762,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 6688, 6742, 2411, 2344, 2317, 2507, 2488, 2506, 6610}"
71,1,827,0,3.1317873,"\int \frac{(c i+d i x)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(a g+b g x)^4} \, dx","Int[((c*i + d*i*x)^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(a*g + b*g*x)^4,x]","\frac{B^2 i^2 \log ^2(a+b x) d^3}{3 b^3 (b c-a d) g^4}+\frac{B^2 i^2 \log ^2(c+d x) d^3}{3 b^3 (b c-a d) g^4}-\frac{2 B^2 i^2 \log (a+b x) d^3}{9 b^3 (b c-a d) g^4}-\frac{2 B i^2 \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) d^3}{3 b^3 (b c-a d) g^4}+\frac{2 B^2 i^2 \log (c+d x) d^3}{9 b^3 (b c-a d) g^4}-\frac{2 B^2 i^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) d^3}{3 b^3 (b c-a d) g^4}+\frac{2 B i^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x) d^3}{3 b^3 (b c-a d) g^4}-\frac{2 B^2 i^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) d^3}{3 b^3 (b c-a d) g^4}-\frac{2 B^2 i^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) d^3}{3 b^3 (b c-a d) g^4}-\frac{2 B^2 i^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) d^3}{3 b^3 (b c-a d) g^4}-\frac{i^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 d^2}{b^3 g^4 (a+b x)}-\frac{2 B i^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) d^2}{3 b^3 g^4 (a+b x)}-\frac{2 B^2 i^2 d^2}{9 b^3 g^4 (a+b x)}-\frac{(b c-a d) i^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 d}{b^3 g^4 (a+b x)^2}-\frac{2 B (b c-a d) i^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) d}{3 b^3 g^4 (a+b x)^2}-\frac{2 B^2 (b c-a d) i^2 d}{9 b^3 g^4 (a+b x)^2}-\frac{(b c-a d)^2 i^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{3 b^3 g^4 (a+b x)^3}-\frac{2 B (b c-a d)^2 i^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{9 b^3 g^4 (a+b x)^3}-\frac{2 B^2 (b c-a d)^2 i^2}{27 b^3 g^4 (a+b x)^3}","-\frac{i^2 (c+d x)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{3 g^4 (a+b x)^3 (b c-a d)}-\frac{2 B i^2 (c+d x)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{9 g^4 (a+b x)^3 (b c-a d)}-\frac{2 B^2 i^2 (c+d x)^3}{27 g^4 (a+b x)^3 (b c-a d)}",1,"(-2*B^2*(b*c - a*d)^2*i^2)/(27*b^3*g^4*(a + b*x)^3) - (2*B^2*d*(b*c - a*d)*i^2)/(9*b^3*g^4*(a + b*x)^2) - (2*B^2*d^2*i^2)/(9*b^3*g^4*(a + b*x)) - (2*B^2*d^3*i^2*Log[a + b*x])/(9*b^3*(b*c - a*d)*g^4) + (B^2*d^3*i^2*Log[a + b*x]^2)/(3*b^3*(b*c - a*d)*g^4) - (2*B*(b*c - a*d)^2*i^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(9*b^3*g^4*(a + b*x)^3) - (2*B*d*(b*c - a*d)*i^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(3*b^3*g^4*(a + b*x)^2) - (2*B*d^2*i^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(3*b^3*g^4*(a + b*x)) - (2*B*d^3*i^2*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(3*b^3*(b*c - a*d)*g^4) - ((b*c - a*d)^2*i^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(3*b^3*g^4*(a + b*x)^3) - (d*(b*c - a*d)*i^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(b^3*g^4*(a + b*x)^2) - (d^2*i^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(b^3*g^4*(a + b*x)) + (2*B^2*d^3*i^2*Log[c + d*x])/(9*b^3*(b*c - a*d)*g^4) - (2*B^2*d^3*i^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(3*b^3*(b*c - a*d)*g^4) + (2*B*d^3*i^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(3*b^3*(b*c - a*d)*g^4) + (B^2*d^3*i^2*Log[c + d*x]^2)/(3*b^3*(b*c - a*d)*g^4) - (2*B^2*d^3*i^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(3*b^3*(b*c - a*d)*g^4) - (2*B^2*d^3*i^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(3*b^3*(b*c - a*d)*g^4) - (2*B^2*d^3*i^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(3*b^3*(b*c - a*d)*g^4)","C",92,11,42,0.2619,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391}"
72,1,920,0,3.6907054,"\int \frac{(c i+d i x)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(a g+b g x)^5} \, dx","Int[((c*i + d*i*x)^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(a*g + b*g*x)^5,x]","-\frac{B^2 i^2 \log ^2(a+b x) d^4}{12 b^3 (b c-a d)^2 g^5}-\frac{B^2 i^2 \log ^2(c+d x) d^4}{12 b^3 (b c-a d)^2 g^5}+\frac{7 B^2 i^2 \log (a+b x) d^4}{72 b^3 (b c-a d)^2 g^5}+\frac{B i^2 \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) d^4}{6 b^3 (b c-a d)^2 g^5}-\frac{7 B^2 i^2 \log (c+d x) d^4}{72 b^3 (b c-a d)^2 g^5}+\frac{B^2 i^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) d^4}{6 b^3 (b c-a d)^2 g^5}-\frac{B i^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x) d^4}{6 b^3 (b c-a d)^2 g^5}+\frac{B^2 i^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) d^4}{6 b^3 (b c-a d)^2 g^5}+\frac{B^2 i^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) d^4}{6 b^3 (b c-a d)^2 g^5}+\frac{B^2 i^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) d^4}{6 b^3 (b c-a d)^2 g^5}+\frac{B i^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) d^3}{6 b^3 (b c-a d) g^5 (a+b x)}+\frac{7 B^2 i^2 d^3}{72 b^3 (b c-a d) g^5 (a+b x)}-\frac{i^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 d^2}{2 b^3 g^5 (a+b x)^2}-\frac{B i^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) d^2}{12 b^3 g^5 (a+b x)^2}+\frac{5 B^2 i^2 d^2}{144 b^3 g^5 (a+b x)^2}-\frac{2 (b c-a d) i^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 d}{3 b^3 g^5 (a+b x)^3}-\frac{5 B (b c-a d) i^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) d}{18 b^3 g^5 (a+b x)^3}-\frac{11 B^2 (b c-a d) i^2 d}{216 b^3 g^5 (a+b x)^3}-\frac{(b c-a d)^2 i^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{4 b^3 g^5 (a+b x)^4}-\frac{B (b c-a d)^2 i^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{8 b^3 g^5 (a+b x)^4}-\frac{B^2 (b c-a d)^2 i^2}{32 b^3 g^5 (a+b x)^4}","-\frac{b i^2 (c+d x)^4 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{4 g^5 (a+b x)^4 (b c-a d)^2}-\frac{b B i^2 (c+d x)^4 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{8 g^5 (a+b x)^4 (b c-a d)^2}+\frac{d i^2 (c+d x)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{3 g^5 (a+b x)^3 (b c-a d)^2}+\frac{2 B d i^2 (c+d x)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{9 g^5 (a+b x)^3 (b c-a d)^2}-\frac{b B^2 i^2 (c+d x)^4}{32 g^5 (a+b x)^4 (b c-a d)^2}+\frac{2 B^2 d i^2 (c+d x)^3}{27 g^5 (a+b x)^3 (b c-a d)^2}",1,"-(B^2*(b*c - a*d)^2*i^2)/(32*b^3*g^5*(a + b*x)^4) - (11*B^2*d*(b*c - a*d)*i^2)/(216*b^3*g^5*(a + b*x)^3) + (5*B^2*d^2*i^2)/(144*b^3*g^5*(a + b*x)^2) + (7*B^2*d^3*i^2)/(72*b^3*(b*c - a*d)*g^5*(a + b*x)) + (7*B^2*d^4*i^2*Log[a + b*x])/(72*b^3*(b*c - a*d)^2*g^5) - (B^2*d^4*i^2*Log[a + b*x]^2)/(12*b^3*(b*c - a*d)^2*g^5) - (B*(b*c - a*d)^2*i^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(8*b^3*g^5*(a + b*x)^4) - (5*B*d*(b*c - a*d)*i^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(18*b^3*g^5*(a + b*x)^3) - (B*d^2*i^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(12*b^3*g^5*(a + b*x)^2) + (B*d^3*i^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(6*b^3*(b*c - a*d)*g^5*(a + b*x)) + (B*d^4*i^2*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(6*b^3*(b*c - a*d)^2*g^5) - ((b*c - a*d)^2*i^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(4*b^3*g^5*(a + b*x)^4) - (2*d*(b*c - a*d)*i^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(3*b^3*g^5*(a + b*x)^3) - (d^2*i^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(2*b^3*g^5*(a + b*x)^2) - (7*B^2*d^4*i^2*Log[c + d*x])/(72*b^3*(b*c - a*d)^2*g^5) + (B^2*d^4*i^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(6*b^3*(b*c - a*d)^2*g^5) - (B*d^4*i^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(6*b^3*(b*c - a*d)^2*g^5) - (B^2*d^4*i^2*Log[c + d*x]^2)/(12*b^3*(b*c - a*d)^2*g^5) + (B^2*d^4*i^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(6*b^3*(b*c - a*d)^2*g^5) + (B^2*d^4*i^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(6*b^3*(b*c - a*d)^2*g^5) + (B^2*d^4*i^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(6*b^3*(b*c - a*d)^2*g^5)","C",104,11,42,0.2619,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391}"
73,1,1009,0,4.2189516,"\int \frac{(c i+d i x)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(a g+b g x)^6} \, dx","Int[((c*i + d*i*x)^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(a*g + b*g*x)^6,x]","\frac{B^2 i^2 \log ^2(a+b x) d^5}{30 b^3 (b c-a d)^3 g^6}+\frac{B^2 i^2 \log ^2(c+d x) d^5}{30 b^3 (b c-a d)^3 g^6}-\frac{47 B^2 i^2 \log (a+b x) d^5}{900 b^3 (b c-a d)^3 g^6}-\frac{B i^2 \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) d^5}{15 b^3 (b c-a d)^3 g^6}+\frac{47 B^2 i^2 \log (c+d x) d^5}{900 b^3 (b c-a d)^3 g^6}-\frac{B^2 i^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) d^5}{15 b^3 (b c-a d)^3 g^6}+\frac{B i^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x) d^5}{15 b^3 (b c-a d)^3 g^6}-\frac{B^2 i^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) d^5}{15 b^3 (b c-a d)^3 g^6}-\frac{B^2 i^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) d^5}{15 b^3 (b c-a d)^3 g^6}-\frac{B^2 i^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) d^5}{15 b^3 (b c-a d)^3 g^6}-\frac{B i^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) d^4}{15 b^3 (b c-a d)^2 g^6 (a+b x)}-\frac{47 B^2 i^2 d^4}{900 b^3 (b c-a d)^2 g^6 (a+b x)}+\frac{B i^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) d^3}{30 b^3 (b c-a d) g^6 (a+b x)^2}-\frac{13 B^2 i^2 d^3}{1800 b^3 (b c-a d) g^6 (a+b x)^2}-\frac{i^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 d^2}{3 b^3 g^6 (a+b x)^3}-\frac{B i^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) d^2}{45 b^3 g^6 (a+b x)^3}+\frac{43 B^2 i^2 d^2}{2700 b^3 g^6 (a+b x)^3}-\frac{(b c-a d) i^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 d}{2 b^3 g^6 (a+b x)^4}-\frac{3 B (b c-a d) i^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) d}{20 b^3 g^6 (a+b x)^4}-\frac{7 B^2 (b c-a d) i^2 d}{400 b^3 g^6 (a+b x)^4}-\frac{(b c-a d)^2 i^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{5 b^3 g^6 (a+b x)^5}-\frac{2 B (b c-a d)^2 i^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{25 b^3 g^6 (a+b x)^5}-\frac{2 B^2 (b c-a d)^2 i^2}{125 b^3 g^6 (a+b x)^5}","-\frac{b^2 i^2 (c+d x)^5 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{5 g^6 (a+b x)^5 (b c-a d)^3}-\frac{2 b^2 B i^2 (c+d x)^5 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{25 g^6 (a+b x)^5 (b c-a d)^3}-\frac{d^2 i^2 (c+d x)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{3 g^6 (a+b x)^3 (b c-a d)^3}-\frac{2 B d^2 i^2 (c+d x)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{9 g^6 (a+b x)^3 (b c-a d)^3}+\frac{b d i^2 (c+d x)^4 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{2 g^6 (a+b x)^4 (b c-a d)^3}+\frac{b B d i^2 (c+d x)^4 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{4 g^6 (a+b x)^4 (b c-a d)^3}-\frac{2 b^2 B^2 i^2 (c+d x)^5}{125 g^6 (a+b x)^5 (b c-a d)^3}-\frac{2 B^2 d^2 i^2 (c+d x)^3}{27 g^6 (a+b x)^3 (b c-a d)^3}+\frac{b B^2 d i^2 (c+d x)^4}{16 g^6 (a+b x)^4 (b c-a d)^3}",1,"(-2*B^2*(b*c - a*d)^2*i^2)/(125*b^3*g^6*(a + b*x)^5) - (7*B^2*d*(b*c - a*d)*i^2)/(400*b^3*g^6*(a + b*x)^4) + (43*B^2*d^2*i^2)/(2700*b^3*g^6*(a + b*x)^3) - (13*B^2*d^3*i^2)/(1800*b^3*(b*c - a*d)*g^6*(a + b*x)^2) - (47*B^2*d^4*i^2)/(900*b^3*(b*c - a*d)^2*g^6*(a + b*x)) - (47*B^2*d^5*i^2*Log[a + b*x])/(900*b^3*(b*c - a*d)^3*g^6) + (B^2*d^5*i^2*Log[a + b*x]^2)/(30*b^3*(b*c - a*d)^3*g^6) - (2*B*(b*c - a*d)^2*i^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(25*b^3*g^6*(a + b*x)^5) - (3*B*d*(b*c - a*d)*i^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(20*b^3*g^6*(a + b*x)^4) - (B*d^2*i^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(45*b^3*g^6*(a + b*x)^3) + (B*d^3*i^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(30*b^3*(b*c - a*d)*g^6*(a + b*x)^2) - (B*d^4*i^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(15*b^3*(b*c - a*d)^2*g^6*(a + b*x)) - (B*d^5*i^2*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(15*b^3*(b*c - a*d)^3*g^6) - ((b*c - a*d)^2*i^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(5*b^3*g^6*(a + b*x)^5) - (d*(b*c - a*d)*i^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(2*b^3*g^6*(a + b*x)^4) - (d^2*i^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(3*b^3*g^6*(a + b*x)^3) + (47*B^2*d^5*i^2*Log[c + d*x])/(900*b^3*(b*c - a*d)^3*g^6) - (B^2*d^5*i^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(15*b^3*(b*c - a*d)^3*g^6) + (B*d^5*i^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(15*b^3*(b*c - a*d)^3*g^6) + (B^2*d^5*i^2*Log[c + d*x]^2)/(30*b^3*(b*c - a*d)^3*g^6) - (B^2*d^5*i^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(15*b^3*(b*c - a*d)^3*g^6) - (B^2*d^5*i^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(15*b^3*(b*c - a*d)^3*g^6) - (B^2*d^5*i^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(15*b^3*(b*c - a*d)^3*g^6)","C",116,11,42,0.2619,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391}"
74,1,896,0,4.2702503,"\int (a g+b g x)^3 (c i+d i x)^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 \, dx","Int[(a*g + b*g*x)^3*(c*i + d*i*x)^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2,x]","\frac{B^2 g^3 i^3 \log ^2(c+d x) (b c-a d)^7}{140 b^4 d^4}-\frac{B^2 g^3 i^3 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) (b c-a d)^7}{70 b^4 d^4}+\frac{B g^3 i^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x) (b c-a d)^7}{70 b^4 d^4}-\frac{B^2 g^3 i^3 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) (b c-a d)^7}{70 b^4 d^4}+\frac{B^2 g^3 i^3 x (b c-a d)^6}{70 b^3 d^3}-\frac{A B g^3 i^3 x (b c-a d)^6}{70 b^3 d^3}-\frac{B^2 g^3 i^3 (a+b x) \log \left(\frac{e (a+b x)}{c+d x}\right) (b c-a d)^6}{70 b^4 d^3}-\frac{3 B^2 g^3 i^3 (a+b x)^2 (b c-a d)^5}{280 b^4 d^2}+\frac{B g^3 i^3 (a+b x)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) (b c-a d)^5}{140 b^4 d^2}+\frac{11 B^2 g^3 i^3 (a+b x)^3 (b c-a d)^4}{1260 b^4 d}-\frac{B g^3 i^3 (a+b x)^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) (b c-a d)^4}{210 b^4 d}+\frac{B^2 g^3 i^3 (a+b x)^4 (b c-a d)^3}{42 b^4}+\frac{g^3 i^3 (a+b x)^4 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 (b c-a d)^3}{4 b^4}-\frac{17 B g^3 i^3 (a+b x)^4 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) (b c-a d)^3}{140 b^4}+\frac{B^2 d g^3 i^3 (a+b x)^5 (b c-a d)^2}{105 b^4}+\frac{3 d g^3 i^3 (a+b x)^5 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 (b c-a d)^2}{5 b^4}-\frac{B d g^3 i^3 (a+b x)^5 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) (b c-a d)^2}{7 b^4}+\frac{d^2 g^3 i^3 (a+b x)^6 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 (b c-a d)}{2 b^4}-\frac{B d^2 g^3 i^3 (a+b x)^6 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) (b c-a d)}{21 b^4}+\frac{d^3 g^3 i^3 (a+b x)^7 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{7 b^4}","-\frac{B^2 g^3 i^3 \log \left(\frac{a+b x}{c+d x}\right) (b c-a d)^7}{210 b^4 d^4}-\frac{B g^3 i^3 \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(6 A+11 B+6 B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) (b c-a d)^7}{420 b^4 d^4}-\frac{11 B^2 g^3 i^3 \log (c+d x) (b c-a d)^7}{420 b^4 d^4}-\frac{B^2 g^3 i^3 \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right) (b c-a d)^7}{70 b^4 d^4}+\frac{5 B^2 g^3 i^3 x (b c-a d)^6}{84 b^3 d^3}-\frac{B g^3 i^3 (a+b x) \left(6 A+5 B+6 B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) (b c-a d)^6}{420 b^4 d^3}-\frac{29 B^2 g^3 i^3 (c+d x)^2 (b c-a d)^5}{840 b^2 d^4}+\frac{B g^3 i^3 (a+b x)^2 \left(3 A+B+3 B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) (b c-a d)^5}{420 b^4 d^2}+\frac{47 B^2 g^3 i^3 (c+d x)^3 (b c-a d)^4}{1260 b d^4}-\frac{B g^3 i^3 (a+b x)^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) (b c-a d)^4}{210 b^4 d}+\frac{2 B g^3 i^3 (c+d x)^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) (b c-a d)^4}{21 b d^4}+\frac{B^2 g^3 i^3 (a+b x)^4 (b c-a d)^3}{140 b^4}-\frac{13 B^2 g^3 i^3 (c+d x)^4 (b c-a d)^3}{420 d^4}+\frac{g^3 i^3 (a+b x)^4 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 (b c-a d)^3}{140 b^4}-\frac{3 B g^3 i^3 (a+b x)^4 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) (b c-a d)^3}{140 b^4}-\frac{3 B g^3 i^3 (c+d x)^4 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) (b c-a d)^3}{14 d^4}+\frac{b B^2 g^3 i^3 (c+d x)^5 (b c-a d)^2}{105 d^4}+\frac{g^3 i^3 (a+b x)^4 (c+d x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 (b c-a d)^2}{35 b^3}+\frac{6 b B g^3 i^3 (c+d x)^5 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) (b c-a d)^2}{35 d^4}-\frac{B g^3 i^3 (a+b x)^4 (c+d x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) (b c-a d)^2}{35 b^3}+\frac{g^3 i^3 (a+b x)^4 (c+d x)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 (b c-a d)}{14 b^2}-\frac{b^2 B g^3 i^3 (c+d x)^6 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) (b c-a d)}{21 d^4}+\frac{g^3 i^3 (a+b x)^4 (c+d x)^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{7 b}",1,"-(A*B*(b*c - a*d)^6*g^3*i^3*x)/(70*b^3*d^3) + (B^2*(b*c - a*d)^6*g^3*i^3*x)/(70*b^3*d^3) - (3*B^2*(b*c - a*d)^5*g^3*i^3*(a + b*x)^2)/(280*b^4*d^2) + (11*B^2*(b*c - a*d)^4*g^3*i^3*(a + b*x)^3)/(1260*b^4*d) + (B^2*(b*c - a*d)^3*g^3*i^3*(a + b*x)^4)/(42*b^4) + (B^2*d*(b*c - a*d)^2*g^3*i^3*(a + b*x)^5)/(105*b^4) - (B^2*(b*c - a*d)^6*g^3*i^3*(a + b*x)*Log[(e*(a + b*x))/(c + d*x)])/(70*b^4*d^3) + (B*(b*c - a*d)^5*g^3*i^3*(a + b*x)^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(140*b^4*d^2) - (B*(b*c - a*d)^4*g^3*i^3*(a + b*x)^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(210*b^4*d) - (17*B*(b*c - a*d)^3*g^3*i^3*(a + b*x)^4*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(140*b^4) - (B*d*(b*c - a*d)^2*g^3*i^3*(a + b*x)^5*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(7*b^4) - (B*d^2*(b*c - a*d)*g^3*i^3*(a + b*x)^6*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(21*b^4) + ((b*c - a*d)^3*g^3*i^3*(a + b*x)^4*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(4*b^4) + (3*d*(b*c - a*d)^2*g^3*i^3*(a + b*x)^5*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(5*b^4) + (d^2*(b*c - a*d)*g^3*i^3*(a + b*x)^6*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(2*b^4) + (d^3*g^3*i^3*(a + b*x)^7*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(7*b^4) - (B^2*(b*c - a*d)^7*g^3*i^3*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(70*b^4*d^4) + (B*(b*c - a*d)^7*g^3*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(70*b^4*d^4) + (B^2*(b*c - a*d)^7*g^3*i^3*Log[c + d*x]^2)/(140*b^4*d^4) - (B^2*(b*c - a*d)^7*g^3*i^3*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(70*b^4*d^4)","A",122,13,42,0.3095,1,"{2528, 2525, 12, 2486, 31, 43, 2524, 2418, 2394, 2393, 2391, 2390, 2301}"
75,1,825,0,3.0221064,"\int (a g+b g x)^2 (c i+d i x)^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 \, dx","Int[(a*g + b*g*x)^2*(c*i + d*i*x)^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2,x]","\frac{B^2 g^2 i^3 \log ^2(a+b x) (b c-a d)^6}{60 b^4 d^3}-\frac{B^2 g^2 i^3 \log (a+b x) (b c-a d)^6}{45 b^4 d^3}-\frac{B g^2 i^3 \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) (b c-a d)^6}{30 b^4 d^3}+\frac{B^2 g^2 i^3 \log (c+d x) (b c-a d)^6}{30 b^4 d^3}-\frac{B^2 g^2 i^3 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) (b c-a d)^6}{30 b^4 d^3}-\frac{B^2 g^2 i^3 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) (b c-a d)^6}{30 b^4 d^3}-\frac{B^2 g^2 i^3 x (b c-a d)^5}{45 b^3 d^2}-\frac{A B g^2 i^3 x (b c-a d)^5}{30 b^3 d^2}-\frac{B^2 g^2 i^3 (a+b x) \log \left(\frac{e (a+b x)}{c+d x}\right) (b c-a d)^5}{30 b^4 d^2}-\frac{7 B^2 g^2 i^3 (c+d x)^2 (b c-a d)^4}{360 b^2 d^3}-\frac{B g^2 i^3 (c+d x)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) (b c-a d)^4}{60 b^2 d^3}-\frac{B^2 g^2 i^3 (c+d x)^3 (b c-a d)^3}{60 b d^3}-\frac{B g^2 i^3 (c+d x)^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) (b c-a d)^3}{90 b d^3}+\frac{B^2 g^2 i^3 (c+d x)^4 (b c-a d)^2}{60 d^3}+\frac{g^2 i^3 (c+d x)^4 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 (b c-a d)^2}{4 d^3}+\frac{7 B g^2 i^3 (c+d x)^4 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) (b c-a d)^2}{60 d^3}-\frac{2 b g^2 i^3 (c+d x)^5 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 (b c-a d)}{5 d^3}-\frac{b B g^2 i^3 (c+d x)^5 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) (b c-a d)}{15 d^3}+\frac{b^2 g^2 i^3 (c+d x)^6 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{6 d^3}","\frac{B^2 g^2 i^3 \log \left(\frac{a+b x}{c+d x}\right) (b c-a d)^6}{36 b^4 d^3}+\frac{B g^2 i^3 \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(2 A+3 B+2 B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) (b c-a d)^6}{60 b^4 d^3}+\frac{11 B^2 g^2 i^3 \log (c+d x) (b c-a d)^6}{180 b^4 d^3}+\frac{B^2 g^2 i^3 \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right) (b c-a d)^6}{30 b^4 d^3}-\frac{7 B^2 g^2 i^3 x (b c-a d)^5}{180 b^3 d^2}+\frac{B g^2 i^3 (a+b x) \left(2 A+B+2 B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) (b c-a d)^5}{60 b^4 d^2}-\frac{7 B^2 g^2 i^3 (c+d x)^2 (b c-a d)^4}{360 b^2 d^3}-\frac{B g^2 i^3 (a+b x)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) (b c-a d)^4}{60 b^4 d}-\frac{B g^2 i^3 (c+d x)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) (b c-a d)^4}{10 b^2 d^3}-\frac{B^2 g^2 i^3 (c+d x)^3 (b c-a d)^3}{60 b d^3}+\frac{g^2 i^3 (a+b x)^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 (b c-a d)^3}{60 b^4}-\frac{B g^2 i^3 (a+b x)^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) (b c-a d)^3}{30 b^4}+\frac{B g^2 i^3 (c+d x)^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) (b c-a d)^3}{45 b d^3}+\frac{B^2 g^2 i^3 (c+d x)^4 (b c-a d)^2}{60 d^3}+\frac{g^2 i^3 (a+b x)^3 (c+d x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 (b c-a d)^2}{20 b^3}+\frac{7 B g^2 i^3 (c+d x)^4 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) (b c-a d)^2}{60 d^3}+\frac{g^2 i^3 (a+b x)^3 (c+d x)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 (b c-a d)}{10 b^2}-\frac{b B g^2 i^3 (c+d x)^5 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) (b c-a d)}{15 d^3}+\frac{g^2 i^3 (a+b x)^3 (c+d x)^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{6 b}",1,"-(A*B*(b*c - a*d)^5*g^2*i^3*x)/(30*b^3*d^2) - (B^2*(b*c - a*d)^5*g^2*i^3*x)/(45*b^3*d^2) - (7*B^2*(b*c - a*d)^4*g^2*i^3*(c + d*x)^2)/(360*b^2*d^3) - (B^2*(b*c - a*d)^3*g^2*i^3*(c + d*x)^3)/(60*b*d^3) + (B^2*(b*c - a*d)^2*g^2*i^3*(c + d*x)^4)/(60*d^3) - (B^2*(b*c - a*d)^6*g^2*i^3*Log[a + b*x])/(45*b^4*d^3) + (B^2*(b*c - a*d)^6*g^2*i^3*Log[a + b*x]^2)/(60*b^4*d^3) - (B^2*(b*c - a*d)^5*g^2*i^3*(a + b*x)*Log[(e*(a + b*x))/(c + d*x)])/(30*b^4*d^2) - (B*(b*c - a*d)^4*g^2*i^3*(c + d*x)^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(60*b^2*d^3) - (B*(b*c - a*d)^3*g^2*i^3*(c + d*x)^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(90*b*d^3) + (7*B*(b*c - a*d)^2*g^2*i^3*(c + d*x)^4*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(60*d^3) - (b*B*(b*c - a*d)*g^2*i^3*(c + d*x)^5*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(15*d^3) - (B*(b*c - a*d)^6*g^2*i^3*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(30*b^4*d^3) + ((b*c - a*d)^2*g^2*i^3*(c + d*x)^4*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(4*d^3) - (2*b*(b*c - a*d)*g^2*i^3*(c + d*x)^5*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(5*d^3) + (b^2*g^2*i^3*(c + d*x)^6*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(6*d^3) + (B^2*(b*c - a*d)^6*g^2*i^3*Log[c + d*x])/(30*b^4*d^3) - (B^2*(b*c - a*d)^6*g^2*i^3*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(30*b^4*d^3) - (B^2*(b*c - a*d)^6*g^2*i^3*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(30*b^4*d^3)","A",86,13,42,0.3095,1,"{2528, 2525, 12, 2486, 31, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 43}"
76,1,655,0,1.7813018,"\int (a g+b g x) (c i+d i x)^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 \, dx","Int[(a*g + b*g*x)*(c*i + d*i*x)^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2,x]","\frac{B^2 g i^3 (b c-a d)^5 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{10 b^4 d^2}+\frac{B g i^3 (b c-a d)^5 \log (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{10 b^4 d^2}+\frac{B g i^3 (c+d x)^2 (b c-a d)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{20 b^2 d^2}+\frac{A B g i^3 x (b c-a d)^4}{10 b^3 d}+\frac{B g i^3 (c+d x)^3 (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{30 b d^2}-\frac{g i^3 (c+d x)^4 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{4 d^2}-\frac{B g i^3 (c+d x)^4 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{10 d^2}+\frac{b g i^3 (c+d x)^5 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{5 d^2}+\frac{B^2 g i^3 (c+d x)^2 (b c-a d)^3}{30 b^2 d^2}-\frac{B^2 g i^3 (b c-a d)^5 \log ^2(a+b x)}{20 b^4 d^2}+\frac{B^2 g i^3 (b c-a d)^5 \log (a+b x)}{60 b^4 d^2}-\frac{B^2 g i^3 (b c-a d)^5 \log (c+d x)}{10 b^4 d^2}+\frac{B^2 g i^3 (b c-a d)^5 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{10 b^4 d^2}+\frac{B^2 g i^3 (a+b x) (b c-a d)^4 \log \left(\frac{e (a+b x)}{c+d x}\right)}{10 b^4 d}+\frac{B^2 g i^3 x (b c-a d)^4}{60 b^3 d}+\frac{B^2 g i^3 (c+d x)^3 (b c-a d)^2}{30 b d^2}","-\frac{B^2 g i^3 (b c-a d)^5 \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{10 b^4 d^2}-\frac{B g i^3 (b c-a d)^5 \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A+B\right)}{10 b^4 d^2}+\frac{3 B g i^3 (c+d x)^2 (b c-a d)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{20 b^2 d^2}-\frac{B g i^3 (a+b x) (b c-a d)^4 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{10 b^4 d}+\frac{g i^3 (a+b x)^2 (b c-a d)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{20 b^4}-\frac{B g i^3 (a+b x)^2 (b c-a d)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{10 b^4}+\frac{g i^3 (a+b x)^2 (c+d x) (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{10 b^3}+\frac{3 g i^3 (a+b x)^2 (c+d x)^2 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{20 b^2}+\frac{B g i^3 (c+d x)^3 (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{30 b d^2}-\frac{B g i^3 (c+d x)^4 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{10 d^2}+\frac{g i^3 (a+b x)^2 (c+d x)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{5 b}+\frac{B^2 g i^3 (c+d x)^2 (b c-a d)^3}{30 b^2 d^2}-\frac{B^2 g i^3 (b c-a d)^5 \log \left(\frac{a+b x}{c+d x}\right)}{12 b^4 d^2}-\frac{11 B^2 g i^3 (b c-a d)^5 \log (c+d x)}{60 b^4 d^2}+\frac{B^2 g i^3 x (b c-a d)^4}{60 b^3 d}+\frac{B^2 g i^3 (c+d x)^3 (b c-a d)^2}{30 b d^2}",1,"(A*B*(b*c - a*d)^4*g*i^3*x)/(10*b^3*d) + (B^2*(b*c - a*d)^4*g*i^3*x)/(60*b^3*d) + (B^2*(b*c - a*d)^3*g*i^3*(c + d*x)^2)/(30*b^2*d^2) + (B^2*(b*c - a*d)^2*g*i^3*(c + d*x)^3)/(30*b*d^2) + (B^2*(b*c - a*d)^5*g*i^3*Log[a + b*x])/(60*b^4*d^2) - (B^2*(b*c - a*d)^5*g*i^3*Log[a + b*x]^2)/(20*b^4*d^2) + (B^2*(b*c - a*d)^4*g*i^3*(a + b*x)*Log[(e*(a + b*x))/(c + d*x)])/(10*b^4*d) + (B*(b*c - a*d)^3*g*i^3*(c + d*x)^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(20*b^2*d^2) + (B*(b*c - a*d)^2*g*i^3*(c + d*x)^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(30*b*d^2) - (B*(b*c - a*d)*g*i^3*(c + d*x)^4*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(10*d^2) + (B*(b*c - a*d)^5*g*i^3*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(10*b^4*d^2) - ((b*c - a*d)*g*i^3*(c + d*x)^4*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(4*d^2) + (b*g*i^3*(c + d*x)^5*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(5*d^2) - (B^2*(b*c - a*d)^5*g*i^3*Log[c + d*x])/(10*b^4*d^2) + (B^2*(b*c - a*d)^5*g*i^3*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(10*b^4*d^2) + (B^2*(b*c - a*d)^5*g*i^3*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(10*b^4*d^2)","A",54,13,40,0.3250,1,"{2528, 2525, 12, 2486, 31, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 43}"
77,1,503,0,0.6165023,"\int (c i+d i x)^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 \, dx","Int[(c*i + d*i*x)^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2,x]","-\frac{B^2 i^3 (b c-a d)^4 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{2 b^4 d}-\frac{B i^3 (b c-a d)^4 \log (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 b^4 d}-\frac{B i^3 (c+d x)^2 (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{4 b^2 d}-\frac{A B i^3 x (b c-a d)^3}{2 b^3}-\frac{B i^3 (c+d x)^3 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{6 b d}+\frac{i^3 (c+d x)^4 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{4 d}-\frac{B^2 i^3 (a+b x) (b c-a d)^3 \log \left(\frac{e (a+b x)}{c+d x}\right)}{2 b^4}+\frac{5 B^2 i^3 x (b c-a d)^3}{12 b^3}+\frac{B^2 i^3 (c+d x)^2 (b c-a d)^2}{12 b^2 d}+\frac{B^2 i^3 (b c-a d)^4 \log ^2(a+b x)}{4 b^4 d}+\frac{5 B^2 i^3 (b c-a d)^4 \log (a+b x)}{12 b^4 d}+\frac{B^2 i^3 (b c-a d)^4 \log (c+d x)}{2 b^4 d}-\frac{B^2 i^3 (b c-a d)^4 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{2 b^4 d}","-\frac{B^2 i^3 (b c-a d)^4 \text{PolyLog}\left(2,\frac{b (c+d x)}{d (a+b x)}\right)}{2 b^4 d}+\frac{B i^3 (b c-a d)^4 \log \left(1-\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 b^4 d}-\frac{B i^3 (a+b x) (b c-a d)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 b^4}-\frac{B i^3 (c+d x)^2 (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{4 b^2 d}-\frac{B i^3 (c+d x)^3 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{6 b d}+\frac{i^3 (c+d x)^4 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{4 d}+\frac{5 B^2 i^3 x (b c-a d)^3}{12 b^3}+\frac{B^2 i^3 (c+d x)^2 (b c-a d)^2}{12 b^2 d}+\frac{5 B^2 i^3 (b c-a d)^4 \log \left(\frac{a+b x}{c+d x}\right)}{12 b^4 d}+\frac{11 B^2 i^3 (b c-a d)^4 \log (c+d x)}{12 b^4 d}",1,"-(A*B*(b*c - a*d)^3*i^3*x)/(2*b^3) + (5*B^2*(b*c - a*d)^3*i^3*x)/(12*b^3) + (B^2*(b*c - a*d)^2*i^3*(c + d*x)^2)/(12*b^2*d) + (5*B^2*(b*c - a*d)^4*i^3*Log[a + b*x])/(12*b^4*d) + (B^2*(b*c - a*d)^4*i^3*Log[a + b*x]^2)/(4*b^4*d) - (B^2*(b*c - a*d)^3*i^3*(a + b*x)*Log[(e*(a + b*x))/(c + d*x)])/(2*b^4) - (B*(b*c - a*d)^2*i^3*(c + d*x)^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(4*b^2*d) - (B*(b*c - a*d)*i^3*(c + d*x)^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(6*b*d) - (B*(b*c - a*d)^4*i^3*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(2*b^4*d) + (i^3*(c + d*x)^4*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(4*d) + (B^2*(b*c - a*d)^4*i^3*Log[c + d*x])/(2*b^4*d) - (B^2*(b*c - a*d)^4*i^3*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(2*b^4*d) - (B^2*(b*c - a*d)^4*i^3*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(2*b^4*d)","A",24,13,32,0.4062,1,"{2525, 12, 2528, 2486, 31, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 43}"
78,1,1868,0,5.6869266,"\int \frac{(c i+d i x)^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{a g+b g x} \, dx","Int[((c*i + d*i*x)^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(a*g + b*g*x),x]","\frac{B^2 (b c-a d)^3 \log ^3(g (a+b x)) i^3}{3 b^4 g}+\frac{5 B^2 (b c-a d)^3 \log ^2(a+b x) i^3}{6 b^4 g}-\frac{a B^2 d (b c-a d)^2 \log ^2(a+b x) i^3}{b^4 g}-\frac{A B (b c-a d)^3 \log ^2(g (a+b x)) i^3}{b^4 g}+\frac{B^2 (b c-a d)^3 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2\left(\frac{1}{c+d x}\right) i^3}{b^4 g}-\frac{B^2 (b c-a d)^3 \log (g (a+b x)) \log ^2\left(\frac{1}{c+d x}\right) i^3}{b^4 g}+\frac{(c+d x)^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 i^3}{3 b g}+\frac{(b c-a d) (c+d x)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 i^3}{2 b^2 g}+\frac{d (b c-a d)^2 x \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 i^3}{b^3 g}-\frac{B^2 c (b c-a d)^2 \log ^2(c+d x) i^3}{b^3 g}-\frac{B^2 (b c-a d)^3 \log \left(\frac{e (a+b x)}{c+d x}\right) \log ^2(a g+b x g) i^3}{b^4 g}-\frac{B^2 (b c-a d)^3 \log \left(\frac{b (c+d x)}{b c-a d}\right) \log ^2(a g+b x g) i^3}{b^4 g}+\frac{B^2 d (b c-a d)^2 x i^3}{3 b^3 g}-\frac{5 A B d (b c-a d)^2 x i^3}{3 b^3 g}+\frac{B^2 (b c-a d)^3 \log (a+b x) i^3}{3 b^4 g}-\frac{B^2 (b c-a d)^3 \log ^2(a+b x) \log (-c-d x) i^3}{b^4 g}-\frac{B^2 (b c-a d)^3 \log ^2(g (a+b x)) \log (-c-d x) i^3}{b^4 g}+\frac{2 B^2 (b c-a d)^3 \log (a+b x) \log (g (a+b x)) \log (-c-d x) i^3}{b^4 g}-\frac{5 B^2 d (b c-a d)^2 (a+b x) \log \left(\frac{e (a+b x)}{c+d x}\right) i^3}{3 b^4 g}-\frac{B (b c-a d) (c+d x)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) i^3}{3 b^2 g}-\frac{5 B (b c-a d)^3 \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) i^3}{3 b^4 g}+\frac{2 a B d (b c-a d)^2 \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) i^3}{b^4 g}+\frac{2 B^2 c (b c-a d)^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) i^3}{b^3 g}-\frac{2 B c (b c-a d)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x) i^3}{b^3 g}+\frac{5 B^2 (b c-a d)^3 \log (c+d x) i^3}{3 b^4 g}+\frac{B^2 (b c-a d)^3 \log ^2(a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) i^3}{b^4 g}+\frac{B^2 (b c-a d)^3 \log ^2(g (a+b x)) \log \left(\frac{b (c+d x)}{b c-a d}\right) i^3}{b^4 g}-\frac{5 B^2 (b c-a d)^3 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) i^3}{3 b^4 g}+\frac{2 a B^2 d (b c-a d)^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) i^3}{b^4 g}+\frac{(b c-a d)^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 \log (a g+b x g) i^3}{b^4 g}-\frac{2 B^2 (b c-a d)^3 \left(\log (a+b x)+\log \left(\frac{1}{c+d x}\right)-\log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log \left(\frac{b (c+d x)}{b c-a d}\right) \log (a g+b x g) i^3}{b^4 g}+\frac{2 A B (b c-a d)^3 \log \left(\frac{b (c+d x)}{b c-a d}\right) \log (a g+b x g) i^3}{b^4 g}+\frac{2 B^2 (b c-a d)^3 \log (a+b x) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) i^3}{b^4 g}-\frac{2 B^2 (b c-a d)^3 \left(\log (a+b x)+\log \left(\frac{1}{c+d x}\right)-\log \left(\frac{e (a+b x)}{c+d x}\right)\right) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) i^3}{b^4 g}-\frac{5 B^2 (b c-a d)^3 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) i^3}{3 b^4 g}+\frac{2 A B (b c-a d)^3 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) i^3}{b^4 g}+\frac{2 a B^2 d (b c-a d)^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) i^3}{b^4 g}-\frac{2 B^2 (b c-a d)^3 \log \left(\frac{1}{c+d x}\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) i^3}{b^4 g}+\frac{2 B^2 c (b c-a d)^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) i^3}{b^3 g}-\frac{2 B^2 (b c-a d)^3 \text{PolyLog}\left(3,-\frac{d (a+b x)}{b c-a d}\right) i^3}{b^4 g}-\frac{2 B^2 (b c-a d)^3 \text{PolyLog}\left(3,\frac{b (c+d x)}{b c-a d}\right) i^3}{b^4 g}","\frac{2 B i^3 (b c-a d)^3 \text{PolyLog}\left(2,\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^4 g}+\frac{2 B^2 i^3 (b c-a d)^3 \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{b^4 g}-\frac{5 B^2 i^3 (b c-a d)^3 \text{PolyLog}\left(2,\frac{b (c+d x)}{d (a+b x)}\right)}{3 b^4 g}+\frac{2 B^2 i^3 (b c-a d)^3 \text{PolyLog}\left(3,\frac{b (c+d x)}{d (a+b x)}\right)}{b^4 g}+\frac{i^3 (c+d x)^2 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{2 b^2 g}+\frac{d i^3 (a+b x) (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{b^4 g}-\frac{B i^3 (c+d x)^2 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{3 b^2 g}-\frac{5 B d i^3 (a+b x) (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{3 b^4 g}+\frac{2 B i^3 (b c-a d)^3 \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^4 g}-\frac{i^3 (b c-a d)^3 \log \left(1-\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{b^4 g}+\frac{5 B i^3 (b c-a d)^3 \log \left(1-\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{3 b^4 g}+\frac{i^3 (c+d x)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{3 b g}+\frac{B^2 d i^3 x (b c-a d)^2}{3 b^3 g}+\frac{B^2 i^3 (b c-a d)^3 \log \left(\frac{a+b x}{c+d x}\right)}{3 b^4 g}+\frac{2 B^2 i^3 (b c-a d)^3 \log (c+d x)}{b^4 g}",1,"(-5*A*B*d*(b*c - a*d)^2*i^3*x)/(3*b^3*g) + (B^2*d*(b*c - a*d)^2*i^3*x)/(3*b^3*g) + (B^2*(b*c - a*d)^3*i^3*Log[a + b*x])/(3*b^4*g) - (a*B^2*d*(b*c - a*d)^2*i^3*Log[a + b*x]^2)/(b^4*g) + (5*B^2*(b*c - a*d)^3*i^3*Log[a + b*x]^2)/(6*b^4*g) - (A*B*(b*c - a*d)^3*i^3*Log[g*(a + b*x)]^2)/(b^4*g) + (B^2*(b*c - a*d)^3*i^3*Log[g*(a + b*x)]^3)/(3*b^4*g) - (B^2*(b*c - a*d)^3*i^3*Log[a + b*x]^2*Log[-c - d*x])/(b^4*g) + (2*B^2*(b*c - a*d)^3*i^3*Log[a + b*x]*Log[g*(a + b*x)]*Log[-c - d*x])/(b^4*g) - (B^2*(b*c - a*d)^3*i^3*Log[g*(a + b*x)]^2*Log[-c - d*x])/(b^4*g) + (B^2*(b*c - a*d)^3*i^3*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[(c + d*x)^(-1)]^2)/(b^4*g) - (B^2*(b*c - a*d)^3*i^3*Log[g*(a + b*x)]*Log[(c + d*x)^(-1)]^2)/(b^4*g) - (5*B^2*d*(b*c - a*d)^2*i^3*(a + b*x)*Log[(e*(a + b*x))/(c + d*x)])/(3*b^4*g) - (B*(b*c - a*d)*i^3*(c + d*x)^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(3*b^2*g) + (2*a*B*d*(b*c - a*d)^2*i^3*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(b^4*g) - (5*B*(b*c - a*d)^3*i^3*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(3*b^4*g) + (d*(b*c - a*d)^2*i^3*x*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(b^3*g) + ((b*c - a*d)*i^3*(c + d*x)^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(2*b^2*g) + (i^3*(c + d*x)^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(3*b*g) + (5*B^2*(b*c - a*d)^3*i^3*Log[c + d*x])/(3*b^4*g) + (2*B^2*c*(b*c - a*d)^2*i^3*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(b^3*g) - (2*B*c*(b*c - a*d)^2*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(b^3*g) - (B^2*c*(b*c - a*d)^2*i^3*Log[c + d*x]^2)/(b^3*g) + (2*a*B^2*d*(b*c - a*d)^2*i^3*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^4*g) - (5*B^2*(b*c - a*d)^3*i^3*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(3*b^4*g) + (B^2*(b*c - a*d)^3*i^3*Log[a + b*x]^2*Log[(b*(c + d*x))/(b*c - a*d)])/(b^4*g) + (B^2*(b*c - a*d)^3*i^3*Log[g*(a + b*x)]^2*Log[(b*(c + d*x))/(b*c - a*d)])/(b^4*g) + ((b*c - a*d)^3*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2*Log[a*g + b*g*x])/(b^4*g) + (2*A*B*(b*c - a*d)^3*i^3*Log[(b*(c + d*x))/(b*c - a*d)]*Log[a*g + b*g*x])/(b^4*g) - (2*B^2*(b*c - a*d)^3*i^3*(Log[a + b*x] + Log[(c + d*x)^(-1)] - Log[(e*(a + b*x))/(c + d*x)])*Log[(b*(c + d*x))/(b*c - a*d)]*Log[a*g + b*g*x])/(b^4*g) - (B^2*(b*c - a*d)^3*i^3*Log[(e*(a + b*x))/(c + d*x)]*Log[a*g + b*g*x]^2)/(b^4*g) - (B^2*(b*c - a*d)^3*i^3*Log[(b*(c + d*x))/(b*c - a*d)]*Log[a*g + b*g*x]^2)/(b^4*g) + (2*a*B^2*d*(b*c - a*d)^2*i^3*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^4*g) + (2*A*B*(b*c - a*d)^3*i^3*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^4*g) - (5*B^2*(b*c - a*d)^3*i^3*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(3*b^4*g) + (2*B^2*(b*c - a*d)^3*i^3*Log[a + b*x]*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^4*g) - (2*B^2*(b*c - a*d)^3*i^3*(Log[a + b*x] + Log[(c + d*x)^(-1)] - Log[(e*(a + b*x))/(c + d*x)])*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^4*g) + (2*B^2*c*(b*c - a*d)^2*i^3*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(b^3*g) - (2*B^2*(b*c - a*d)^3*i^3*Log[(c + d*x)^(-1)]*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(b^4*g) - (2*B^2*(b*c - a*d)^3*i^3*PolyLog[3, -((d*(a + b*x))/(b*c - a*d))])/(b^4*g) - (2*B^2*(b*c - a*d)^3*i^3*PolyLog[3, (b*(c + d*x))/(b*c - a*d)])/(b^4*g)","B",106,28,42,0.6667,1,"{2528, 2523, 12, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 6688, 6742, 2500, 2440, 2434, 2433, 2375, 2317, 2374, 6589, 2499, 2302, 30, 2396, 2525, 2486, 31, 43}"
79,1,1751,0,4.8158779,"\int \frac{(c i+d i x)^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(a g+b g x)^2} \, dx","Int[((c*i + d*i*x)^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(a*g + b*g*x)^2,x]","\frac{a^2 B^2 d^3 \log ^2(a+b x) i^3}{2 b^4 g^2}+\frac{B^2 d (b c-a d)^2 \log ^2(a+b x) i^3}{b^4 g^2}-\frac{3 A B d (b c-a d)^2 \log ^2(a+b x) i^3}{b^4 g^2}-\frac{a B^2 d^2 (3 b c-2 a d) \log ^2(a+b x) i^3}{b^4 g^2}-\frac{3 B^2 d (b c-a d)^2 \log \left(-\frac{b c-a d}{d (a+b x)}\right) \log ^2\left(\frac{e (a+b x)}{c+d x}\right) i^3}{b^4 g^2}-\frac{3 B^2 d (b c-a d)^2 \log (a+b x) \log ^2\left(\frac{e (a+b x)}{c+d x}\right) i^3}{b^4 g^2}+\frac{d^3 x^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 i^3}{2 b^2 g^2}+\frac{d^2 (3 b c-2 a d) x \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 i^3}{b^3 g^2}+\frac{3 d (b c-a d)^2 \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 i^3}{b^4 g^2}-\frac{(b c-a d)^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 i^3}{b^4 g^2 (a+b x)}+\frac{B^2 d (b c-a d)^2 \log ^2(c+d x) i^3}{b^4 g^2}+\frac{B^2 c^2 d \log ^2(c+d x) i^3}{2 b^2 g^2}-\frac{B^2 c d (3 b c-2 a d) \log ^2(c+d x) i^3}{b^3 g^2}-\frac{A B d^2 (b c-a d) x i^3}{b^3 g^2}-\frac{2 B^2 d (b c-a d)^2 \log (a+b x) i^3}{b^4 g^2}-\frac{B^2 d^2 (b c-a d) (a+b x) \log \left(\frac{e (a+b x)}{c+d x}\right) i^3}{b^4 g^2}-\frac{a^2 B d^3 \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) i^3}{b^4 g^2}-\frac{2 B d (b c-a d)^2 \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) i^3}{b^4 g^2}+\frac{2 a B d^2 (3 b c-2 a d) \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) i^3}{b^4 g^2}-\frac{2 B (b c-a d)^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) i^3}{b^4 g^2 (a+b x)}-\frac{2 B^2 d (b c-a d)^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) i^3}{b^4 g^2}-\frac{B^2 c^2 d \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) i^3}{b^2 g^2}+\frac{2 B^2 c d (3 b c-2 a d) \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) i^3}{b^3 g^2}+\frac{2 B d (b c-a d)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x) i^3}{b^4 g^2}+\frac{B c^2 d \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x) i^3}{b^2 g^2}-\frac{2 B c d (3 b c-2 a d) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x) i^3}{b^3 g^2}+\frac{3 B^2 d (b c-a d)^2 \log (c+d x) i^3}{b^4 g^2}-\frac{a^2 B^2 d^3 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) i^3}{b^4 g^2}-\frac{2 B^2 d (b c-a d)^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) i^3}{b^4 g^2}+\frac{6 A B d (b c-a d)^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) i^3}{b^4 g^2}+\frac{2 a B^2 d^2 (3 b c-2 a d) \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) i^3}{b^4 g^2}-\frac{a^2 B^2 d^3 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) i^3}{b^4 g^2}-\frac{2 B^2 d (b c-a d)^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) i^3}{b^4 g^2}+\frac{6 A B d (b c-a d)^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) i^3}{b^4 g^2}+\frac{2 a B^2 d^2 (3 b c-2 a d) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) i^3}{b^4 g^2}-\frac{2 B^2 d (b c-a d)^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) i^3}{b^4 g^2}-\frac{B^2 c^2 d \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) i^3}{b^2 g^2}+\frac{2 B^2 c d (3 b c-2 a d) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) i^3}{b^3 g^2}+\frac{6 B^2 d (b c-a d)^2 \log \left(\frac{e (a+b x)}{c+d x}\right) \text{PolyLog}\left(2,\frac{b c-a d}{d (a+b x)}+1\right) i^3}{b^4 g^2}+\frac{6 B^2 d (b c-a d)^2 \text{PolyLog}\left(3,\frac{b c-a d}{d (a+b x)}+1\right) i^3}{b^4 g^2}-\frac{2 B^2 (b c-a d)^3 i^3}{b^4 g^2 (a+b x)}","\frac{6 B d i^3 (b c-a d)^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^4 g^2}+\frac{4 B^2 d i^3 (b c-a d)^2 \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{b^4 g^2}-\frac{B^2 d i^3 (b c-a d)^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{d (a+b x)}\right)}{b^4 g^2}+\frac{6 B^2 d i^3 (b c-a d)^2 \text{PolyLog}\left(3,\frac{b (c+d x)}{d (a+b x)}\right)}{b^4 g^2}+\frac{2 d^2 i^3 (a+b x) (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{b^4 g^2}-\frac{B d^2 i^3 (a+b x) (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^4 g^2}+\frac{d i^3 (c+d x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{2 b^2 g^2}-\frac{i^3 (c+d x) (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{b^3 g^2 (a+b x)}-\frac{2 B i^3 (c+d x) (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^3 g^2 (a+b x)}+\frac{4 B d i^3 (b c-a d)^2 \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^4 g^2}-\frac{3 d i^3 (b c-a d)^2 \log \left(1-\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{b^4 g^2}+\frac{B d i^3 (b c-a d)^2 \log \left(1-\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^4 g^2}-\frac{2 B^2 i^3 (c+d x) (b c-a d)^2}{b^3 g^2 (a+b x)}+\frac{B^2 d i^3 (b c-a d)^2 \log (c+d x)}{b^4 g^2}",1,"-((A*B*d^2*(b*c - a*d)*i^3*x)/(b^3*g^2)) - (2*B^2*(b*c - a*d)^3*i^3)/(b^4*g^2*(a + b*x)) - (2*B^2*d*(b*c - a*d)^2*i^3*Log[a + b*x])/(b^4*g^2) + (a^2*B^2*d^3*i^3*Log[a + b*x]^2)/(2*b^4*g^2) - (a*B^2*d^2*(3*b*c - 2*a*d)*i^3*Log[a + b*x]^2)/(b^4*g^2) - (3*A*B*d*(b*c - a*d)^2*i^3*Log[a + b*x]^2)/(b^4*g^2) + (B^2*d*(b*c - a*d)^2*i^3*Log[a + b*x]^2)/(b^4*g^2) - (B^2*d^2*(b*c - a*d)*i^3*(a + b*x)*Log[(e*(a + b*x))/(c + d*x)])/(b^4*g^2) - (3*B^2*d*(b*c - a*d)^2*i^3*Log[-((b*c - a*d)/(d*(a + b*x)))]*Log[(e*(a + b*x))/(c + d*x)]^2)/(b^4*g^2) - (3*B^2*d*(b*c - a*d)^2*i^3*Log[a + b*x]*Log[(e*(a + b*x))/(c + d*x)]^2)/(b^4*g^2) - (2*B*(b*c - a*d)^3*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(b^4*g^2*(a + b*x)) - (a^2*B*d^3*i^3*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(b^4*g^2) + (2*a*B*d^2*(3*b*c - 2*a*d)*i^3*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(b^4*g^2) - (2*B*d*(b*c - a*d)^2*i^3*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(b^4*g^2) + (d^2*(3*b*c - 2*a*d)*i^3*x*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(b^3*g^2) + (d^3*i^3*x^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(2*b^2*g^2) - ((b*c - a*d)^3*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(b^4*g^2*(a + b*x)) + (3*d*(b*c - a*d)^2*i^3*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(b^4*g^2) + (3*B^2*d*(b*c - a*d)^2*i^3*Log[c + d*x])/(b^4*g^2) - (B^2*c^2*d*i^3*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(b^2*g^2) + (2*B^2*c*d*(3*b*c - 2*a*d)*i^3*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(b^3*g^2) - (2*B^2*d*(b*c - a*d)^2*i^3*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(b^4*g^2) + (B*c^2*d*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(b^2*g^2) - (2*B*c*d*(3*b*c - 2*a*d)*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(b^3*g^2) + (2*B*d*(b*c - a*d)^2*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(b^4*g^2) + (B^2*c^2*d*i^3*Log[c + d*x]^2)/(2*b^2*g^2) - (B^2*c*d*(3*b*c - 2*a*d)*i^3*Log[c + d*x]^2)/(b^3*g^2) + (B^2*d*(b*c - a*d)^2*i^3*Log[c + d*x]^2)/(b^4*g^2) - (a^2*B^2*d^3*i^3*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^4*g^2) + (2*a*B^2*d^2*(3*b*c - 2*a*d)*i^3*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^4*g^2) + (6*A*B*d*(b*c - a*d)^2*i^3*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^4*g^2) - (2*B^2*d*(b*c - a*d)^2*i^3*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^4*g^2) - (a^2*B^2*d^3*i^3*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^4*g^2) + (2*a*B^2*d^2*(3*b*c - 2*a*d)*i^3*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^4*g^2) + (6*A*B*d*(b*c - a*d)^2*i^3*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^4*g^2) - (2*B^2*d*(b*c - a*d)^2*i^3*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^4*g^2) - (B^2*c^2*d*i^3*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(b^2*g^2) + (2*B^2*c*d*(3*b*c - 2*a*d)*i^3*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(b^3*g^2) - (2*B^2*d*(b*c - a*d)^2*i^3*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(b^4*g^2) + (6*B^2*d*(b*c - a*d)^2*i^3*Log[(e*(a + b*x))/(c + d*x)]*PolyLog[2, 1 + (b*c - a*d)/(d*(a + b*x))])/(b^4*g^2) + (6*B^2*d*(b*c - a*d)^2*i^3*PolyLog[3, 1 + (b*c - a*d)/(d*(a + b*x))])/(b^4*g^2)","B",90,23,42,0.5476,1,"{2528, 2523, 12, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 2525, 2486, 31, 44, 6688, 6742, 2411, 2344, 2317, 2507, 2488, 2506, 6610}"
80,1,1412,0,4.9264036,"\int \frac{(c i+d i x)^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(a g+b g x)^3} \, dx","Int[((c*i + d*i*x)^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(a*g + b*g*x)^3,x]","-\frac{a B^2 d^3 \log ^2(a+b x) i^3}{b^4 g^3}+\frac{5 B^2 d^2 (b c-a d) \log ^2(a+b x) i^3}{2 b^4 g^3}-\frac{3 A B d^2 (b c-a d) \log ^2(a+b x) i^3}{b^4 g^3}-\frac{3 B^2 d^2 (b c-a d) \log \left(-\frac{b c-a d}{d (a+b x)}\right) \log ^2\left(\frac{e (a+b x)}{c+d x}\right) i^3}{b^4 g^3}-\frac{3 B^2 d^2 (b c-a d) \log (a+b x) \log ^2\left(\frac{e (a+b x)}{c+d x}\right) i^3}{b^4 g^3}+\frac{d^3 x \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 i^3}{b^3 g^3}+\frac{3 d^2 (b c-a d) \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 i^3}{b^4 g^3}-\frac{3 d (b c-a d)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 i^3}{b^4 g^3 (a+b x)}-\frac{(b c-a d)^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 i^3}{2 b^4 g^3 (a+b x)^2}-\frac{B^2 c d^2 \log ^2(c+d x) i^3}{b^3 g^3}+\frac{5 B^2 d^2 (b c-a d) \log ^2(c+d x) i^3}{2 b^4 g^3}-\frac{9 B^2 d^2 (b c-a d) \log (a+b x) i^3}{2 b^4 g^3}+\frac{2 a B d^3 \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) i^3}{b^4 g^3}-\frac{5 B d^2 (b c-a d) \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) i^3}{b^4 g^3}-\frac{5 B d (b c-a d)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) i^3}{b^4 g^3 (a+b x)}-\frac{B (b c-a d)^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) i^3}{2 b^4 g^3 (a+b x)^2}+\frac{2 B^2 c d^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) i^3}{b^3 g^3}-\frac{5 B^2 d^2 (b c-a d) \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) i^3}{b^4 g^3}-\frac{2 B c d^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x) i^3}{b^3 g^3}+\frac{5 B d^2 (b c-a d) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x) i^3}{b^4 g^3}+\frac{9 B^2 d^2 (b c-a d) \log (c+d x) i^3}{2 b^4 g^3}+\frac{2 a B^2 d^3 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) i^3}{b^4 g^3}-\frac{5 B^2 d^2 (b c-a d) \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) i^3}{b^4 g^3}+\frac{6 A B d^2 (b c-a d) \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) i^3}{b^4 g^3}+\frac{2 a B^2 d^3 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) i^3}{b^4 g^3}-\frac{5 B^2 d^2 (b c-a d) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) i^3}{b^4 g^3}+\frac{6 A B d^2 (b c-a d) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) i^3}{b^4 g^3}+\frac{2 B^2 c d^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) i^3}{b^3 g^3}-\frac{5 B^2 d^2 (b c-a d) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) i^3}{b^4 g^3}+\frac{6 B^2 d^2 (b c-a d) \log \left(\frac{e (a+b x)}{c+d x}\right) \text{PolyLog}\left(2,\frac{b c-a d}{d (a+b x)}+1\right) i^3}{b^4 g^3}+\frac{6 B^2 d^2 (b c-a d) \text{PolyLog}\left(3,\frac{b c-a d}{d (a+b x)}+1\right) i^3}{b^4 g^3}-\frac{9 B^2 d (b c-a d)^2 i^3}{2 b^4 g^3 (a+b x)}-\frac{B^2 (b c-a d)^3 i^3}{4 b^4 g^3 (a+b x)^2}","\frac{6 B d^2 i^3 (b c-a d) \text{PolyLog}\left(2,\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^4 g^3}+\frac{2 B^2 d^2 i^3 (b c-a d) \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{b^4 g^3}+\frac{6 B^2 d^2 i^3 (b c-a d) \text{PolyLog}\left(3,\frac{b (c+d x)}{d (a+b x)}\right)}{b^4 g^3}+\frac{d^3 i^3 (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{b^4 g^3}+\frac{2 B d^2 i^3 (b c-a d) \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^4 g^3}-\frac{3 d^2 i^3 (b c-a d) \log \left(1-\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{b^4 g^3}-\frac{i^3 (c+d x)^2 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{2 b^2 g^3 (a+b x)^2}-\frac{2 d i^3 (c+d x) (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{b^3 g^3 (a+b x)}-\frac{B i^3 (c+d x)^2 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 b^2 g^3 (a+b x)^2}-\frac{4 B d i^3 (c+d x) (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{b^3 g^3 (a+b x)}-\frac{B^2 i^3 (c+d x)^2 (b c-a d)}{4 b^2 g^3 (a+b x)^2}-\frac{4 B^2 d i^3 (c+d x) (b c-a d)}{b^3 g^3 (a+b x)}",1,"-(B^2*(b*c - a*d)^3*i^3)/(4*b^4*g^3*(a + b*x)^2) - (9*B^2*d*(b*c - a*d)^2*i^3)/(2*b^4*g^3*(a + b*x)) - (9*B^2*d^2*(b*c - a*d)*i^3*Log[a + b*x])/(2*b^4*g^3) - (a*B^2*d^3*i^3*Log[a + b*x]^2)/(b^4*g^3) - (3*A*B*d^2*(b*c - a*d)*i^3*Log[a + b*x]^2)/(b^4*g^3) + (5*B^2*d^2*(b*c - a*d)*i^3*Log[a + b*x]^2)/(2*b^4*g^3) - (3*B^2*d^2*(b*c - a*d)*i^3*Log[-((b*c - a*d)/(d*(a + b*x)))]*Log[(e*(a + b*x))/(c + d*x)]^2)/(b^4*g^3) - (3*B^2*d^2*(b*c - a*d)*i^3*Log[a + b*x]*Log[(e*(a + b*x))/(c + d*x)]^2)/(b^4*g^3) - (B*(b*c - a*d)^3*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(2*b^4*g^3*(a + b*x)^2) - (5*B*d*(b*c - a*d)^2*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(b^4*g^3*(a + b*x)) + (2*a*B*d^3*i^3*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(b^4*g^3) - (5*B*d^2*(b*c - a*d)*i^3*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(b^4*g^3) + (d^3*i^3*x*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(b^3*g^3) - ((b*c - a*d)^3*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(2*b^4*g^3*(a + b*x)^2) - (3*d*(b*c - a*d)^2*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(b^4*g^3*(a + b*x)) + (3*d^2*(b*c - a*d)*i^3*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(b^4*g^3) + (9*B^2*d^2*(b*c - a*d)*i^3*Log[c + d*x])/(2*b^4*g^3) + (2*B^2*c*d^2*i^3*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(b^3*g^3) - (5*B^2*d^2*(b*c - a*d)*i^3*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(b^4*g^3) - (2*B*c*d^2*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(b^3*g^3) + (5*B*d^2*(b*c - a*d)*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(b^4*g^3) - (B^2*c*d^2*i^3*Log[c + d*x]^2)/(b^3*g^3) + (5*B^2*d^2*(b*c - a*d)*i^3*Log[c + d*x]^2)/(2*b^4*g^3) + (2*a*B^2*d^3*i^3*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^4*g^3) + (6*A*B*d^2*(b*c - a*d)*i^3*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^4*g^3) - (5*B^2*d^2*(b*c - a*d)*i^3*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^4*g^3) + (2*a*B^2*d^3*i^3*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^4*g^3) + (6*A*B*d^2*(b*c - a*d)*i^3*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^4*g^3) - (5*B^2*d^2*(b*c - a*d)*i^3*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^4*g^3) + (2*B^2*c*d^2*i^3*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(b^3*g^3) - (5*B^2*d^2*(b*c - a*d)*i^3*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(b^4*g^3) + (6*B^2*d^2*(b*c - a*d)*i^3*Log[(e*(a + b*x))/(c + d*x)]*PolyLog[2, 1 + (b*c - a*d)/(d*(a + b*x))])/(b^4*g^3) + (6*B^2*d^2*(b*c - a*d)*i^3*PolyLog[3, 1 + (b*c - a*d)/(d*(a + b*x))])/(b^4*g^3)","B",95,21,42,0.5000,1,"{2528, 2523, 12, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 2525, 44, 6688, 6742, 2411, 2344, 2317, 2507, 2488, 2506, 6610}"
81,1,970,0,4.5405004,"\int \frac{(c i+d i x)^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(a g+b g x)^5} \, dx","Int[((c*i + d*i*x)^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(a*g + b*g*x)^5,x]","\frac{B^2 i^3 \log ^2(a+b x) d^4}{4 b^4 (b c-a d) g^5}+\frac{B^2 i^3 \log ^2(c+d x) d^4}{4 b^4 (b c-a d) g^5}-\frac{B^2 i^3 \log (a+b x) d^4}{8 b^4 (b c-a d) g^5}-\frac{B i^3 \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) d^4}{2 b^4 (b c-a d) g^5}+\frac{B^2 i^3 \log (c+d x) d^4}{8 b^4 (b c-a d) g^5}-\frac{B^2 i^3 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) d^4}{2 b^4 (b c-a d) g^5}+\frac{B i^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x) d^4}{2 b^4 (b c-a d) g^5}-\frac{B^2 i^3 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) d^4}{2 b^4 (b c-a d) g^5}-\frac{B^2 i^3 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) d^4}{2 b^4 (b c-a d) g^5}-\frac{B^2 i^3 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) d^4}{2 b^4 (b c-a d) g^5}-\frac{i^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 d^3}{b^4 g^5 (a+b x)}-\frac{B i^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) d^3}{2 b^4 g^5 (a+b x)}-\frac{B^2 i^3 d^3}{8 b^4 g^5 (a+b x)}-\frac{3 (b c-a d) i^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 d^2}{2 b^4 g^5 (a+b x)^2}-\frac{3 B (b c-a d) i^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) d^2}{4 b^4 g^5 (a+b x)^2}-\frac{3 B^2 (b c-a d) i^3 d^2}{16 b^4 g^5 (a+b x)^2}-\frac{(b c-a d)^2 i^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 d}{b^4 g^5 (a+b x)^3}-\frac{B (b c-a d)^2 i^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) d}{2 b^4 g^5 (a+b x)^3}-\frac{B^2 (b c-a d)^2 i^3 d}{8 b^4 g^5 (a+b x)^3}-\frac{(b c-a d)^3 i^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{4 b^4 g^5 (a+b x)^4}-\frac{B (b c-a d)^3 i^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{8 b^4 g^5 (a+b x)^4}-\frac{B^2 (b c-a d)^3 i^3}{32 b^4 g^5 (a+b x)^4}","-\frac{i^3 (c+d x)^4 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{4 g^5 (a+b x)^4 (b c-a d)}-\frac{B i^3 (c+d x)^4 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{8 g^5 (a+b x)^4 (b c-a d)}-\frac{B^2 i^3 (c+d x)^4}{32 g^5 (a+b x)^4 (b c-a d)}",1,"-(B^2*(b*c - a*d)^3*i^3)/(32*b^4*g^5*(a + b*x)^4) - (B^2*d*(b*c - a*d)^2*i^3)/(8*b^4*g^5*(a + b*x)^3) - (3*B^2*d^2*(b*c - a*d)*i^3)/(16*b^4*g^5*(a + b*x)^2) - (B^2*d^3*i^3)/(8*b^4*g^5*(a + b*x)) - (B^2*d^4*i^3*Log[a + b*x])/(8*b^4*(b*c - a*d)*g^5) + (B^2*d^4*i^3*Log[a + b*x]^2)/(4*b^4*(b*c - a*d)*g^5) - (B*(b*c - a*d)^3*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(8*b^4*g^5*(a + b*x)^4) - (B*d*(b*c - a*d)^2*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(2*b^4*g^5*(a + b*x)^3) - (3*B*d^2*(b*c - a*d)*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(4*b^4*g^5*(a + b*x)^2) - (B*d^3*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(2*b^4*g^5*(a + b*x)) - (B*d^4*i^3*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(2*b^4*(b*c - a*d)*g^5) - ((b*c - a*d)^3*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(4*b^4*g^5*(a + b*x)^4) - (d*(b*c - a*d)^2*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(b^4*g^5*(a + b*x)^3) - (3*d^2*(b*c - a*d)*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(2*b^4*g^5*(a + b*x)^2) - (d^3*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(b^4*g^5*(a + b*x)) + (B^2*d^4*i^3*Log[c + d*x])/(8*b^4*(b*c - a*d)*g^5) - (B^2*d^4*i^3*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(2*b^4*(b*c - a*d)*g^5) + (B*d^4*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(2*b^4*(b*c - a*d)*g^5) + (B^2*d^4*i^3*Log[c + d*x]^2)/(4*b^4*(b*c - a*d)*g^5) - (B^2*d^4*i^3*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(2*b^4*(b*c - a*d)*g^5) - (B^2*d^4*i^3*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(2*b^4*(b*c - a*d)*g^5) - (B^2*d^4*i^3*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(2*b^4*(b*c - a*d)*g^5)","C",130,11,42,0.2619,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391}"
82,1,1061,0,5.1953263,"\int \frac{(c i+d i x)^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(a g+b g x)^6} \, dx","Int[((c*i + d*i*x)^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(a*g + b*g*x)^6,x]","-\frac{B^2 i^3 \log ^2(a+b x) d^5}{20 b^4 (b c-a d)^2 g^6}-\frac{B^2 i^3 \log ^2(c+d x) d^5}{20 b^4 (b c-a d)^2 g^6}+\frac{9 B^2 i^3 \log (a+b x) d^5}{200 b^4 (b c-a d)^2 g^6}+\frac{B i^3 \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) d^5}{10 b^4 (b c-a d)^2 g^6}-\frac{9 B^2 i^3 \log (c+d x) d^5}{200 b^4 (b c-a d)^2 g^6}+\frac{B^2 i^3 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) d^5}{10 b^4 (b c-a d)^2 g^6}-\frac{B i^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x) d^5}{10 b^4 (b c-a d)^2 g^6}+\frac{B^2 i^3 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) d^5}{10 b^4 (b c-a d)^2 g^6}+\frac{B^2 i^3 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) d^5}{10 b^4 (b c-a d)^2 g^6}+\frac{B^2 i^3 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) d^5}{10 b^4 (b c-a d)^2 g^6}+\frac{B i^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) d^4}{10 b^4 (b c-a d) g^6 (a+b x)}+\frac{9 B^2 i^3 d^4}{200 b^4 (b c-a d) g^6 (a+b x)}-\frac{i^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 d^3}{2 b^4 g^6 (a+b x)^2}-\frac{B i^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) d^3}{20 b^4 g^6 (a+b x)^2}+\frac{11 B^2 i^3 d^3}{400 b^4 g^6 (a+b x)^2}-\frac{(b c-a d) i^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 d^2}{b^4 g^6 (a+b x)^3}-\frac{3 B (b c-a d) i^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) d^2}{10 b^4 g^6 (a+b x)^3}-\frac{7 B^2 (b c-a d) i^3 d^2}{200 b^4 g^6 (a+b x)^3}-\frac{3 (b c-a d)^2 i^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 d}{4 b^4 g^6 (a+b x)^4}-\frac{11 B (b c-a d)^2 i^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) d}{40 b^4 g^6 (a+b x)^4}-\frac{39 B^2 (b c-a d)^2 i^3 d}{800 b^4 g^6 (a+b x)^4}-\frac{(b c-a d)^3 i^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{5 b^4 g^6 (a+b x)^5}-\frac{2 B (b c-a d)^3 i^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{25 b^4 g^6 (a+b x)^5}-\frac{2 B^2 (b c-a d)^3 i^3}{125 b^4 g^6 (a+b x)^5}","-\frac{b i^3 (c+d x)^5 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{5 g^6 (a+b x)^5 (b c-a d)^2}-\frac{2 b B i^3 (c+d x)^5 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{25 g^6 (a+b x)^5 (b c-a d)^2}+\frac{d i^3 (c+d x)^4 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{4 g^6 (a+b x)^4 (b c-a d)^2}+\frac{B d i^3 (c+d x)^4 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{8 g^6 (a+b x)^4 (b c-a d)^2}-\frac{2 b B^2 i^3 (c+d x)^5}{125 g^6 (a+b x)^5 (b c-a d)^2}+\frac{B^2 d i^3 (c+d x)^4}{32 g^6 (a+b x)^4 (b c-a d)^2}",1,"(-2*B^2*(b*c - a*d)^3*i^3)/(125*b^4*g^6*(a + b*x)^5) - (39*B^2*d*(b*c - a*d)^2*i^3)/(800*b^4*g^6*(a + b*x)^4) - (7*B^2*d^2*(b*c - a*d)*i^3)/(200*b^4*g^6*(a + b*x)^3) + (11*B^2*d^3*i^3)/(400*b^4*g^6*(a + b*x)^2) + (9*B^2*d^4*i^3)/(200*b^4*(b*c - a*d)*g^6*(a + b*x)) + (9*B^2*d^5*i^3*Log[a + b*x])/(200*b^4*(b*c - a*d)^2*g^6) - (B^2*d^5*i^3*Log[a + b*x]^2)/(20*b^4*(b*c - a*d)^2*g^6) - (2*B*(b*c - a*d)^3*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(25*b^4*g^6*(a + b*x)^5) - (11*B*d*(b*c - a*d)^2*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(40*b^4*g^6*(a + b*x)^4) - (3*B*d^2*(b*c - a*d)*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(10*b^4*g^6*(a + b*x)^3) - (B*d^3*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(20*b^4*g^6*(a + b*x)^2) + (B*d^4*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(10*b^4*(b*c - a*d)*g^6*(a + b*x)) + (B*d^5*i^3*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(10*b^4*(b*c - a*d)^2*g^6) - ((b*c - a*d)^3*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(5*b^4*g^6*(a + b*x)^5) - (3*d*(b*c - a*d)^2*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(4*b^4*g^6*(a + b*x)^4) - (d^2*(b*c - a*d)*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(b^4*g^6*(a + b*x)^3) - (d^3*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(2*b^4*g^6*(a + b*x)^2) - (9*B^2*d^5*i^3*Log[c + d*x])/(200*b^4*(b*c - a*d)^2*g^6) + (B^2*d^5*i^3*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(10*b^4*(b*c - a*d)^2*g^6) - (B*d^5*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(10*b^4*(b*c - a*d)^2*g^6) - (B^2*d^5*i^3*Log[c + d*x]^2)/(20*b^4*(b*c - a*d)^2*g^6) + (B^2*d^5*i^3*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(10*b^4*(b*c - a*d)^2*g^6) + (B^2*d^5*i^3*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(10*b^4*(b*c - a*d)^2*g^6) + (B^2*d^5*i^3*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(10*b^4*(b*c - a*d)^2*g^6)","C",146,11,42,0.2619,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391}"
83,1,1152,0,6.0774,"\int \frac{(c i+d i x)^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(a g+b g x)^7} \, dx","Int[((c*i + d*i*x)^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(a*g + b*g*x)^7,x]","\frac{B^2 i^3 \log ^2(a+b x) d^6}{60 b^4 (b c-a d)^3 g^7}+\frac{B^2 i^3 \log ^2(c+d x) d^6}{60 b^4 (b c-a d)^3 g^7}-\frac{37 B^2 i^3 \log (a+b x) d^6}{1800 b^4 (b c-a d)^3 g^7}-\frac{B i^3 \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) d^6}{30 b^4 (b c-a d)^3 g^7}+\frac{37 B^2 i^3 \log (c+d x) d^6}{1800 b^4 (b c-a d)^3 g^7}-\frac{B^2 i^3 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) d^6}{30 b^4 (b c-a d)^3 g^7}+\frac{B i^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x) d^6}{30 b^4 (b c-a d)^3 g^7}-\frac{B^2 i^3 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) d^6}{30 b^4 (b c-a d)^3 g^7}-\frac{B^2 i^3 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) d^6}{30 b^4 (b c-a d)^3 g^7}-\frac{B^2 i^3 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) d^6}{30 b^4 (b c-a d)^3 g^7}-\frac{B i^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) d^5}{30 b^4 (b c-a d)^2 g^7 (a+b x)}-\frac{37 B^2 i^3 d^5}{1800 b^4 (b c-a d)^2 g^7 (a+b x)}+\frac{B i^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) d^4}{60 b^4 (b c-a d) g^7 (a+b x)^2}-\frac{23 B^2 i^3 d^4}{3600 b^4 (b c-a d) g^7 (a+b x)^2}-\frac{i^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 d^3}{3 b^4 g^7 (a+b x)^3}-\frac{B i^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) d^3}{90 b^4 g^7 (a+b x)^3}+\frac{53 B^2 i^3 d^3}{5400 b^4 g^7 (a+b x)^3}-\frac{3 (b c-a d) i^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 d^2}{4 b^4 g^7 (a+b x)^4}-\frac{19 B (b c-a d) i^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) d^2}{120 b^4 g^7 (a+b x)^4}-\frac{73 B^2 (b c-a d) i^3 d^2}{7200 b^4 g^7 (a+b x)^4}-\frac{3 (b c-a d)^2 i^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 d}{5 b^4 g^7 (a+b x)^5}-\frac{13 B (b c-a d)^2 i^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) d}{75 b^4 g^7 (a+b x)^5}-\frac{53 B^2 (b c-a d)^2 i^3 d}{2250 b^4 g^7 (a+b x)^5}-\frac{(b c-a d)^3 i^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{6 b^4 g^7 (a+b x)^6}-\frac{B (b c-a d)^3 i^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{18 b^4 g^7 (a+b x)^6}-\frac{B^2 (b c-a d)^3 i^3}{108 b^4 g^7 (a+b x)^6}","-\frac{b^2 i^3 (c+d x)^6 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{6 g^7 (a+b x)^6 (b c-a d)^3}-\frac{b^2 B i^3 (c+d x)^6 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{18 g^7 (a+b x)^6 (b c-a d)^3}-\frac{d^2 i^3 (c+d x)^4 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{4 g^7 (a+b x)^4 (b c-a d)^3}-\frac{B d^2 i^3 (c+d x)^4 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{8 g^7 (a+b x)^4 (b c-a d)^3}+\frac{2 b d i^3 (c+d x)^5 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{5 g^7 (a+b x)^5 (b c-a d)^3}+\frac{4 b B d i^3 (c+d x)^5 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{25 g^7 (a+b x)^5 (b c-a d)^3}-\frac{b^2 B^2 i^3 (c+d x)^6}{108 g^7 (a+b x)^6 (b c-a d)^3}-\frac{B^2 d^2 i^3 (c+d x)^4}{32 g^7 (a+b x)^4 (b c-a d)^3}+\frac{4 b B^2 d i^3 (c+d x)^5}{125 g^7 (a+b x)^5 (b c-a d)^3}",1,"-(B^2*(b*c - a*d)^3*i^3)/(108*b^4*g^7*(a + b*x)^6) - (53*B^2*d*(b*c - a*d)^2*i^3)/(2250*b^4*g^7*(a + b*x)^5) - (73*B^2*d^2*(b*c - a*d)*i^3)/(7200*b^4*g^7*(a + b*x)^4) + (53*B^2*d^3*i^3)/(5400*b^4*g^7*(a + b*x)^3) - (23*B^2*d^4*i^3)/(3600*b^4*(b*c - a*d)*g^7*(a + b*x)^2) - (37*B^2*d^5*i^3)/(1800*b^4*(b*c - a*d)^2*g^7*(a + b*x)) - (37*B^2*d^6*i^3*Log[a + b*x])/(1800*b^4*(b*c - a*d)^3*g^7) + (B^2*d^6*i^3*Log[a + b*x]^2)/(60*b^4*(b*c - a*d)^3*g^7) - (B*(b*c - a*d)^3*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(18*b^4*g^7*(a + b*x)^6) - (13*B*d*(b*c - a*d)^2*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(75*b^4*g^7*(a + b*x)^5) - (19*B*d^2*(b*c - a*d)*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(120*b^4*g^7*(a + b*x)^4) - (B*d^3*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(90*b^4*g^7*(a + b*x)^3) + (B*d^4*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(60*b^4*(b*c - a*d)*g^7*(a + b*x)^2) - (B*d^5*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(30*b^4*(b*c - a*d)^2*g^7*(a + b*x)) - (B*d^6*i^3*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(30*b^4*(b*c - a*d)^3*g^7) - ((b*c - a*d)^3*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(6*b^4*g^7*(a + b*x)^6) - (3*d*(b*c - a*d)^2*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(5*b^4*g^7*(a + b*x)^5) - (3*d^2*(b*c - a*d)*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(4*b^4*g^7*(a + b*x)^4) - (d^3*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(3*b^4*g^7*(a + b*x)^3) + (37*B^2*d^6*i^3*Log[c + d*x])/(1800*b^4*(b*c - a*d)^3*g^7) - (B^2*d^6*i^3*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(30*b^4*(b*c - a*d)^3*g^7) + (B*d^6*i^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(30*b^4*(b*c - a*d)^3*g^7) + (B^2*d^6*i^3*Log[c + d*x]^2)/(60*b^4*(b*c - a*d)^3*g^7) - (B^2*d^6*i^3*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(30*b^4*(b*c - a*d)^3*g^7) - (B^2*d^6*i^3*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(30*b^4*(b*c - a*d)^3*g^7) - (B^2*d^6*i^3*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(30*b^4*(b*c - a*d)^3*g^7)","C",162,11,42,0.2619,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391}"
84,1,1828,0,5.6161135,"\int \frac{(a g+b g x)^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{c i+d i x} \, dx","Int[((a*g + b*g*x)^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(c*i + d*i*x),x]","-\frac{B^2 (b c-a d)^3 \log ^3(i (c+d x)) g^3}{3 d^4 i}-\frac{a B^2 (b c-a d)^2 \log ^2(a+b x) g^3}{d^3 i}+\frac{B^2 (b c-a d)^3 \log (a+b x) \log ^2\left(\frac{1}{c+d x}\right) g^3}{d^4 i}-\frac{B^2 (b c-a d)^3 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2\left(\frac{1}{c+d x}\right) g^3}{d^4 i}+\frac{(a+b x)^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 g^3}{3 d i}-\frac{(b c-a d) (a+b x)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 g^3}{2 d^2 i}+\frac{b (b c-a d)^2 x \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 g^3}{d^3 i}-\frac{5 B^2 (b c-a d)^3 \log ^2(c+d x) g^3}{6 d^4 i}-\frac{b B^2 c (b c-a d)^2 \log ^2(c+d x) g^3}{d^4 i}+\frac{B^2 (b c-a d)^3 \log (a+b x) \log ^2(i (c+d x)) g^3}{d^4 i}-\frac{B^2 (b c-a d)^3 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2(i (c+d x)) g^3}{d^4 i}-\frac{A B (b c-a d)^3 \log ^2(i (c+d x)) g^3}{d^4 i}+\frac{B^2 (b c-a d)^3 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2(c i+d x i) g^3}{d^4 i}-\frac{B^2 (b c-a d)^3 \log \left(\frac{e (a+b x)}{c+d x}\right) \log ^2(c i+d x i) g^3}{d^4 i}+\frac{b B^2 (b c-a d)^2 x g^3}{3 d^3 i}+\frac{5 A b B (b c-a d)^2 x g^3}{3 d^3 i}+\frac{5 B^2 (b c-a d)^2 (a+b x) \log \left(\frac{e (a+b x)}{c+d x}\right) g^3}{3 d^3 i}-\frac{B (b c-a d) (a+b x)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) g^3}{3 d^2 i}+\frac{2 a B (b c-a d)^2 \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) g^3}{d^3 i}+\frac{5 B^2 (b c-a d)^3 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) g^3}{3 d^4 i}+\frac{2 b B^2 c (b c-a d)^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) g^3}{d^4 i}-\frac{5 B (b c-a d)^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x) g^3}{3 d^4 i}-\frac{2 b B c (b c-a d)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x) g^3}{d^4 i}-\frac{2 B^2 (b c-a d)^3 \log (c+d x) g^3}{d^4 i}-\frac{B^2 (b c-a d)^3 \log ^2(a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) g^3}{d^4 i}+\frac{2 a B^2 (b c-a d)^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) g^3}{d^3 i}+\frac{B^2 (b c-a d)^3 \log ^2(a+b x) \log (i (c+d x)) g^3}{d^4 i}+\frac{2 B^2 (b c-a d)^3 \log (a+b x) \log \left(\frac{1}{c+d x}\right) \log (i (c+d x)) g^3}{d^4 i}-\frac{(b c-a d)^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 \log (c i+d x i) g^3}{d^4 i}+\frac{2 A B (b c-a d)^3 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c i+d x i) g^3}{d^4 i}-\frac{2 B^2 (b c-a d)^3 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \left(\log (a+b x)+\log \left(\frac{1}{c+d x}\right)-\log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c i+d x i) g^3}{d^4 i}-\frac{2 B^2 (b c-a d)^3 \log (a+b x) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) g^3}{d^4 i}+\frac{2 a B^2 (b c-a d)^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) g^3}{d^3 i}+\frac{2 B^2 (b c-a d)^3 \log \left(\frac{1}{c+d x}\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) g^3}{d^4 i}-\frac{2 B^2 (b c-a d)^3 \left(\log (a+b x)+\log \left(\frac{1}{c+d x}\right)-\log \left(\frac{e (a+b x)}{c+d x}\right)\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) g^3}{d^4 i}+\frac{5 B^2 (b c-a d)^3 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) g^3}{3 d^4 i}+\frac{2 A B (b c-a d)^3 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) g^3}{d^4 i}+\frac{2 b B^2 c (b c-a d)^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) g^3}{d^4 i}+\frac{2 B^2 (b c-a d)^3 \text{PolyLog}\left(3,-\frac{d (a+b x)}{b c-a d}\right) g^3}{d^4 i}+\frac{2 B^2 (b c-a d)^3 \text{PolyLog}\left(3,\frac{b (c+d x)}{b c-a d}\right) g^3}{d^4 i}","\frac{2 B g^3 (b c-a d)^3 \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{d^4 i}+\frac{6 B^2 g^3 (b c-a d)^3 \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{d^4 i}+\frac{7 B^2 g^3 (b c-a d)^3 \text{PolyLog}\left(2,\frac{b (c+d x)}{d (a+b x)}\right)}{3 d^4 i}-\frac{2 B^2 g^3 (b c-a d)^3 \text{PolyLog}\left(3,\frac{d (a+b x)}{b (c+d x)}\right)}{d^4 i}+\frac{b^3 g^3 (c+d x)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{3 d^4 i}-\frac{3 b^2 g^3 (c+d x)^2 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{2 d^4 i}-\frac{b^2 B g^3 (c+d x)^2 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{3 d^4 i}+\frac{3 g^3 (a+b x) (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{d^3 i}+\frac{g^3 (b c-a d)^3 \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{d^4 i}+\frac{7 B g^3 (a+b x) (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{3 d^3 i}+\frac{6 B g^3 (b c-a d)^3 \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{d^4 i}-\frac{7 B g^3 (b c-a d)^3 \log \left(1-\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{3 d^4 i}+\frac{b B^2 g^3 x (b c-a d)^2}{3 d^3 i}+\frac{B^2 g^3 (b c-a d)^3 \log \left(\frac{a+b x}{c+d x}\right)}{3 d^4 i}-\frac{2 B^2 g^3 (b c-a d)^3 \log (c+d x)}{d^4 i}",1,"(5*A*b*B*(b*c - a*d)^2*g^3*x)/(3*d^3*i) + (b*B^2*(b*c - a*d)^2*g^3*x)/(3*d^3*i) - (a*B^2*(b*c - a*d)^2*g^3*Log[a + b*x]^2)/(d^3*i) + (B^2*(b*c - a*d)^3*g^3*Log[a + b*x]*Log[(c + d*x)^(-1)]^2)/(d^4*i) - (B^2*(b*c - a*d)^3*g^3*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[(c + d*x)^(-1)]^2)/(d^4*i) + (5*B^2*(b*c - a*d)^2*g^3*(a + b*x)*Log[(e*(a + b*x))/(c + d*x)])/(3*d^3*i) - (B*(b*c - a*d)*g^3*(a + b*x)^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(3*d^2*i) + (2*a*B*(b*c - a*d)^2*g^3*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(d^3*i) + (b*(b*c - a*d)^2*g^3*x*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(d^3*i) - ((b*c - a*d)*g^3*(a + b*x)^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(2*d^2*i) + (g^3*(a + b*x)^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(3*d*i) - (2*B^2*(b*c - a*d)^3*g^3*Log[c + d*x])/(d^4*i) + (2*b*B^2*c*(b*c - a*d)^2*g^3*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^4*i) + (5*B^2*(b*c - a*d)^3*g^3*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(3*d^4*i) - (2*b*B*c*(b*c - a*d)^2*g^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(d^4*i) - (5*B*(b*c - a*d)^3*g^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(3*d^4*i) - (b*B^2*c*(b*c - a*d)^2*g^3*Log[c + d*x]^2)/(d^4*i) - (5*B^2*(b*c - a*d)^3*g^3*Log[c + d*x]^2)/(6*d^4*i) + (2*a*B^2*(b*c - a*d)^2*g^3*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(d^3*i) - (B^2*(b*c - a*d)^3*g^3*Log[a + b*x]^2*Log[(b*(c + d*x))/(b*c - a*d)])/(d^4*i) + (B^2*(b*c - a*d)^3*g^3*Log[a + b*x]^2*Log[i*(c + d*x)])/(d^4*i) + (2*B^2*(b*c - a*d)^3*g^3*Log[a + b*x]*Log[(c + d*x)^(-1)]*Log[i*(c + d*x)])/(d^4*i) - (A*B*(b*c - a*d)^3*g^3*Log[i*(c + d*x)]^2)/(d^4*i) + (B^2*(b*c - a*d)^3*g^3*Log[a + b*x]*Log[i*(c + d*x)]^2)/(d^4*i) - (B^2*(b*c - a*d)^3*g^3*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[i*(c + d*x)]^2)/(d^4*i) - (B^2*(b*c - a*d)^3*g^3*Log[i*(c + d*x)]^3)/(3*d^4*i) + (2*A*B*(b*c - a*d)^3*g^3*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c*i + d*i*x])/(d^4*i) - (2*B^2*(b*c - a*d)^3*g^3*Log[-((d*(a + b*x))/(b*c - a*d))]*(Log[a + b*x] + Log[(c + d*x)^(-1)] - Log[(e*(a + b*x))/(c + d*x)])*Log[c*i + d*i*x])/(d^4*i) - ((b*c - a*d)^3*g^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2*Log[c*i + d*i*x])/(d^4*i) + (B^2*(b*c - a*d)^3*g^3*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c*i + d*i*x]^2)/(d^4*i) - (B^2*(b*c - a*d)^3*g^3*Log[(e*(a + b*x))/(c + d*x)]*Log[c*i + d*i*x]^2)/(d^4*i) + (2*a*B^2*(b*c - a*d)^2*g^3*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(d^3*i) - (2*B^2*(b*c - a*d)^3*g^3*Log[a + b*x]*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(d^4*i) + (2*b*B^2*c*(b*c - a*d)^2*g^3*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^4*i) + (2*A*B*(b*c - a*d)^3*g^3*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^4*i) + (5*B^2*(b*c - a*d)^3*g^3*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(3*d^4*i) + (2*B^2*(b*c - a*d)^3*g^3*Log[(c + d*x)^(-1)]*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^4*i) - (2*B^2*(b*c - a*d)^3*g^3*(Log[a + b*x] + Log[(c + d*x)^(-1)] - Log[(e*(a + b*x))/(c + d*x)])*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^4*i) + (2*B^2*(b*c - a*d)^3*g^3*PolyLog[3, -((d*(a + b*x))/(b*c - a*d))])/(d^4*i) + (2*B^2*(b*c - a*d)^3*g^3*PolyLog[3, (b*(c + d*x))/(b*c - a*d)])/(d^4*i)","B",106,28,42,0.6667,1,"{2528, 2523, 12, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 2525, 2486, 31, 43, 6688, 6742, 2499, 2396, 2433, 2374, 6589, 2302, 30, 2500, 2375, 2317, 2440, 2434}"
85,1,1666,0,4.8248844,"\int \frac{(a g+b g x)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{c i+d i x} \, dx","Int[((a*g + b*g*x)^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(c*i + d*i*x),x]","\frac{B^2 (b c-a d)^2 g^2 \log ^3(i (c+d x))}{3 d^3 i}-\frac{B^2 (b c-a d)^2 g^2 \log (a+b x) \log ^2(i (c+d x))}{d^3 i}+\frac{B^2 (b c-a d)^2 g^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2(i (c+d x))}{d^3 i}+\frac{A B (b c-a d)^2 g^2 \log ^2(i (c+d x))}{d^3 i}-\frac{B^2 (b c-a d)^2 g^2 \log ^2(a+b x) \log (i (c+d x))}{d^3 i}-\frac{2 B^2 (b c-a d)^2 g^2 \log (a+b x) \log \left(\frac{1}{c+d x}\right) \log (i (c+d x))}{d^3 i}+\frac{a B^2 (b c-a d) g^2 \log ^2(a+b x)}{d^2 i}-\frac{B^2 (b c-a d)^2 g^2 \log (a+b x) \log ^2\left(\frac{1}{c+d x}\right)}{d^3 i}+\frac{B^2 (b c-a d)^2 g^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2\left(\frac{1}{c+d x}\right)}{d^3 i}+\frac{g^2 (a+b x)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{2 d i}-\frac{b (b c-a d) g^2 x \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{d^2 i}+\frac{B^2 (b c-a d)^2 g^2 \log ^2(c+d x)}{2 d^3 i}+\frac{b B^2 c (b c-a d) g^2 \log ^2(c+d x)}{d^3 i}-\frac{B^2 (b c-a d)^2 g^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2(c i+d x i)}{d^3 i}+\frac{B^2 (b c-a d)^2 g^2 \log \left(\frac{e (a+b x)}{c+d x}\right) \log ^2(c i+d x i)}{d^3 i}-\frac{A b B (b c-a d) g^2 x}{d^2 i}-\frac{B^2 (b c-a d) g^2 (a+b x) \log \left(\frac{e (a+b x)}{c+d x}\right)}{d^2 i}-\frac{2 a B (b c-a d) g^2 \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{d^2 i}-\frac{B^2 (b c-a d)^2 g^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{d^3 i}-\frac{2 b B^2 c (b c-a d) g^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{d^3 i}+\frac{B (b c-a d)^2 g^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x)}{d^3 i}+\frac{2 b B c (b c-a d) g^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x)}{d^3 i}+\frac{B^2 (b c-a d)^2 g^2 \log (c+d x)}{d^3 i}+\frac{B^2 (b c-a d)^2 g^2 \log ^2(a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{d^3 i}-\frac{2 a B^2 (b c-a d) g^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{d^2 i}+\frac{(b c-a d)^2 g^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 \log (c i+d x i)}{d^3 i}-\frac{2 A B (b c-a d)^2 g^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c i+d x i)}{d^3 i}+\frac{2 B^2 (b c-a d)^2 g^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \left(\log (a+b x)+\log \left(\frac{1}{c+d x}\right)-\log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c i+d x i)}{d^3 i}+\frac{2 B^2 (b c-a d)^2 g^2 \log (a+b x) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{d^3 i}-\frac{2 a B^2 (b c-a d) g^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{d^2 i}-\frac{2 B^2 (b c-a d)^2 g^2 \log \left(\frac{1}{c+d x}\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^3 i}+\frac{2 B^2 (b c-a d)^2 g^2 \left(\log (a+b x)+\log \left(\frac{1}{c+d x}\right)-\log \left(\frac{e (a+b x)}{c+d x}\right)\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^3 i}-\frac{B^2 (b c-a d)^2 g^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^3 i}-\frac{2 A B (b c-a d)^2 g^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^3 i}-\frac{2 b B^2 c (b c-a d) g^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^3 i}-\frac{2 B^2 (b c-a d)^2 g^2 \text{PolyLog}\left(3,-\frac{d (a+b x)}{b c-a d}\right)}{d^3 i}-\frac{2 B^2 (b c-a d)^2 g^2 \text{PolyLog}\left(3,\frac{b (c+d x)}{b c-a d}\right)}{d^3 i}","-\frac{2 B g^2 (b c-a d)^2 \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{d^3 i}-\frac{4 B^2 g^2 (b c-a d)^2 \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{d^3 i}-\frac{B^2 g^2 (b c-a d)^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{d (a+b x)}\right)}{d^3 i}+\frac{2 B^2 g^2 (b c-a d)^2 \text{PolyLog}\left(3,\frac{d (a+b x)}{b (c+d x)}\right)}{d^3 i}+\frac{b^2 g^2 (c+d x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{2 d^3 i}-\frac{2 g^2 (a+b x) (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{d^2 i}-\frac{g^2 (b c-a d)^2 \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{d^3 i}-\frac{B g^2 (a+b x) (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{d^2 i}-\frac{4 B g^2 (b c-a d)^2 \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{d^3 i}+\frac{B g^2 (b c-a d)^2 \log \left(1-\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{d^3 i}+\frac{B^2 g^2 (b c-a d)^2 \log (c+d x)}{d^3 i}",1,"-((A*b*B*(b*c - a*d)*g^2*x)/(d^2*i)) + (a*B^2*(b*c - a*d)*g^2*Log[a + b*x]^2)/(d^2*i) - (B^2*(b*c - a*d)^2*g^2*Log[a + b*x]*Log[(c + d*x)^(-1)]^2)/(d^3*i) + (B^2*(b*c - a*d)^2*g^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[(c + d*x)^(-1)]^2)/(d^3*i) - (B^2*(b*c - a*d)*g^2*(a + b*x)*Log[(e*(a + b*x))/(c + d*x)])/(d^2*i) - (2*a*B*(b*c - a*d)*g^2*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(d^2*i) - (b*(b*c - a*d)*g^2*x*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(d^2*i) + (g^2*(a + b*x)^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(2*d*i) + (B^2*(b*c - a*d)^2*g^2*Log[c + d*x])/(d^3*i) - (2*b*B^2*c*(b*c - a*d)*g^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^3*i) - (B^2*(b*c - a*d)^2*g^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^3*i) + (2*b*B*c*(b*c - a*d)*g^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(d^3*i) + (B*(b*c - a*d)^2*g^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(d^3*i) + (b*B^2*c*(b*c - a*d)*g^2*Log[c + d*x]^2)/(d^3*i) + (B^2*(b*c - a*d)^2*g^2*Log[c + d*x]^2)/(2*d^3*i) - (2*a*B^2*(b*c - a*d)*g^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(d^2*i) + (B^2*(b*c - a*d)^2*g^2*Log[a + b*x]^2*Log[(b*(c + d*x))/(b*c - a*d)])/(d^3*i) - (B^2*(b*c - a*d)^2*g^2*Log[a + b*x]^2*Log[i*(c + d*x)])/(d^3*i) - (2*B^2*(b*c - a*d)^2*g^2*Log[a + b*x]*Log[(c + d*x)^(-1)]*Log[i*(c + d*x)])/(d^3*i) + (A*B*(b*c - a*d)^2*g^2*Log[i*(c + d*x)]^2)/(d^3*i) - (B^2*(b*c - a*d)^2*g^2*Log[a + b*x]*Log[i*(c + d*x)]^2)/(d^3*i) + (B^2*(b*c - a*d)^2*g^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[i*(c + d*x)]^2)/(d^3*i) + (B^2*(b*c - a*d)^2*g^2*Log[i*(c + d*x)]^3)/(3*d^3*i) - (2*A*B*(b*c - a*d)^2*g^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c*i + d*i*x])/(d^3*i) + (2*B^2*(b*c - a*d)^2*g^2*Log[-((d*(a + b*x))/(b*c - a*d))]*(Log[a + b*x] + Log[(c + d*x)^(-1)] - Log[(e*(a + b*x))/(c + d*x)])*Log[c*i + d*i*x])/(d^3*i) + ((b*c - a*d)^2*g^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2*Log[c*i + d*i*x])/(d^3*i) - (B^2*(b*c - a*d)^2*g^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c*i + d*i*x]^2)/(d^3*i) + (B^2*(b*c - a*d)^2*g^2*Log[(e*(a + b*x))/(c + d*x)]*Log[c*i + d*i*x]^2)/(d^3*i) - (2*a*B^2*(b*c - a*d)*g^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(d^2*i) + (2*B^2*(b*c - a*d)^2*g^2*Log[a + b*x]*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(d^3*i) - (2*b*B^2*c*(b*c - a*d)*g^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^3*i) - (2*A*B*(b*c - a*d)^2*g^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^3*i) - (B^2*(b*c - a*d)^2*g^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^3*i) - (2*B^2*(b*c - a*d)^2*g^2*Log[(c + d*x)^(-1)]*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^3*i) + (2*B^2*(b*c - a*d)^2*g^2*(Log[a + b*x] + Log[(c + d*x)^(-1)] - Log[(e*(a + b*x))/(c + d*x)])*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^3*i) - (2*B^2*(b*c - a*d)^2*g^2*PolyLog[3, -((d*(a + b*x))/(b*c - a*d))])/(d^3*i) - (2*B^2*(b*c - a*d)^2*g^2*PolyLog[3, (b*(c + d*x))/(b*c - a*d)])/(d^3*i)","B",86,27,42,0.6429,1,"{2528, 2523, 12, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 2525, 2486, 31, 6688, 6742, 2499, 2396, 2433, 2374, 6589, 2302, 30, 2500, 2375, 2317, 2440, 2434}"
86,1,1072,0,4.1318209,"\int \frac{(a g+b g x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{c i+d i x} \, dx","Int[((a*g + b*g*x)*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(c*i + d*i*x),x]","-\frac{B^2 (b c-a d) g \log ^3(c+d x)}{3 d^2 i}+\frac{B^2 (b c-a d) g \log (a+b x) \log ^2(c+d x)}{d^2 i}-\frac{B^2 (b c-a d) g \log \left(\frac{e (a+b x)}{c+d x}\right) \log ^2(c+d x)}{d^2 i}-\frac{A B (b c-a d) g \log ^2(c+d x)}{d^2 i}-\frac{b B^2 c g \log ^2(c+d x)}{d^2 i}+\frac{B^2 (b c-a d) g \log ^2(a+b x) \log (c+d x)}{d^2 i}-\frac{(b c-a d) g \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 \log (c+d x)}{d^2 i}+\frac{2 A B (b c-a d) g \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{d^2 i}+\frac{2 b B^2 c g \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{d^2 i}+\frac{2 B^2 (b c-a d) g \log (a+b x) \log \left(\frac{1}{c+d x}\right) \log (c+d x)}{d^2 i}-\frac{2 B^2 (b c-a d) g \log \left(-\frac{d (a+b x)}{b c-a d}\right) \left(\log (a+b x)+\log \left(\frac{1}{c+d x}\right)-\log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x)}{d^2 i}-\frac{2 b B c g \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x)}{d^2 i}-\frac{a B^2 g \log ^2(a+b x)}{d i}+\frac{B^2 (b c-a d) g \log (a+b x) \log ^2\left(\frac{1}{c+d x}\right)}{d^2 i}-\frac{B^2 (b c-a d) g \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2\left(\frac{1}{c+d x}\right)}{d^2 i}+\frac{b g x \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{d i}+\frac{2 a B g \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{d i}-\frac{B^2 (b c-a d) g \log ^2(a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{d^2 i}+\frac{2 a B^2 g \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{d i}-\frac{2 B^2 (b c-a d) g \log (a+b x) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{d^2 i}+\frac{2 a B^2 g \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{d i}+\frac{2 B^2 (b c-a d) g \log \left(\frac{1}{c+d x}\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^2 i}-\frac{2 B^2 (b c-a d) g \left(\log (a+b x)+\log \left(\frac{1}{c+d x}\right)-\log \left(\frac{e (a+b x)}{c+d x}\right)\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^2 i}+\frac{2 A B (b c-a d) g \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^2 i}+\frac{2 b B^2 c g \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^2 i}+\frac{2 B^2 (b c-a d) g \text{PolyLog}\left(3,-\frac{d (a+b x)}{b c-a d}\right)}{d^2 i}+\frac{2 B^2 (b c-a d) g \text{PolyLog}\left(3,\frac{b (c+d x)}{b c-a d}\right)}{d^2 i}","\frac{2 B g (b c-a d) \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{d^2 i}+\frac{2 B^2 g (b c-a d) \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{d^2 i}-\frac{2 B^2 g (b c-a d) \text{PolyLog}\left(3,\frac{d (a+b x)}{b (c+d x)}\right)}{d^2 i}+\frac{2 B g (b c-a d) \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{d^2 i}+\frac{g (b c-a d) \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{d^2 i}+\frac{g (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{d i}",1,"-((a*B^2*g*Log[a + b*x]^2)/(d*i)) + (B^2*(b*c - a*d)*g*Log[a + b*x]*Log[(c + d*x)^(-1)]^2)/(d^2*i) - (B^2*(b*c - a*d)*g*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[(c + d*x)^(-1)]^2)/(d^2*i) + (2*a*B*g*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(d*i) + (b*g*x*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(d*i) + (B^2*(b*c - a*d)*g*Log[a + b*x]^2*Log[c + d*x])/(d^2*i) + (2*b*B^2*c*g*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^2*i) + (2*A*B*(b*c - a*d)*g*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^2*i) + (2*B^2*(b*c - a*d)*g*Log[a + b*x]*Log[(c + d*x)^(-1)]*Log[c + d*x])/(d^2*i) - (2*B^2*(b*c - a*d)*g*Log[-((d*(a + b*x))/(b*c - a*d))]*(Log[a + b*x] + Log[(c + d*x)^(-1)] - Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(d^2*i) - (2*b*B*c*g*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(d^2*i) - ((b*c - a*d)*g*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2*Log[c + d*x])/(d^2*i) - (b*B^2*c*g*Log[c + d*x]^2)/(d^2*i) - (A*B*(b*c - a*d)*g*Log[c + d*x]^2)/(d^2*i) + (B^2*(b*c - a*d)*g*Log[a + b*x]*Log[c + d*x]^2)/(d^2*i) - (B^2*(b*c - a*d)*g*Log[(e*(a + b*x))/(c + d*x)]*Log[c + d*x]^2)/(d^2*i) - (B^2*(b*c - a*d)*g*Log[c + d*x]^3)/(3*d^2*i) + (2*a*B^2*g*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(d*i) - (B^2*(b*c - a*d)*g*Log[a + b*x]^2*Log[(b*(c + d*x))/(b*c - a*d)])/(d^2*i) + (2*a*B^2*g*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(d*i) - (2*B^2*(b*c - a*d)*g*Log[a + b*x]*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(d^2*i) + (2*b*B^2*c*g*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^2*i) + (2*A*B*(b*c - a*d)*g*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^2*i) + (2*B^2*(b*c - a*d)*g*Log[(c + d*x)^(-1)]*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^2*i) - (2*B^2*(b*c - a*d)*g*(Log[a + b*x] + Log[(c + d*x)^(-1)] - Log[(e*(a + b*x))/(c + d*x)])*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^2*i) + (2*B^2*(b*c - a*d)*g*PolyLog[3, -((d*(a + b*x))/(b*c - a*d))])/(d^2*i) + (2*B^2*(b*c - a*d)*g*PolyLog[3, (b*(c + d*x))/(b*c - a*d)])/(d^2*i)","B",68,24,40,0.6000,1,"{2528, 2523, 12, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 6688, 6742, 2500, 2433, 2375, 2317, 2374, 6589, 2440, 2434, 2499, 2396, 2302, 30}"
87,1,721,0,3.2683217,"\int \frac{\left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{c i+d i x} \, dx","Int[(A + B*Log[(e*(a + b*x))/(c + d*x)])^2/(c*i + d*i*x),x]","-\frac{2 A B \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d i}+\frac{2 B^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) \left(-\log \left(\frac{e (a+b x)}{c+d x}\right)+\log (a+b x)+\log \left(\frac{1}{c+d x}\right)\right)}{d i}-\frac{2 B^2 \text{PolyLog}\left(3,-\frac{d (a+b x)}{b c-a d}\right)}{d i}-\frac{2 B^2 \text{PolyLog}\left(3,\frac{b (c+d x)}{b c-a d}\right)}{d i}+\frac{2 B^2 \log (a+b x) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{d i}-\frac{2 B^2 \log \left(\frac{1}{c+d x}\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d i}+\frac{\log (c i+d i x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{d i}-\frac{2 A B \log (c i+d i x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{d i}+\frac{B^2 \log ^2(c i+d i x) \log \left(\frac{e (a+b x)}{c+d x}\right)}{d i}+\frac{2 B^2 \log (c i+d i x) \log \left(-\frac{d (a+b x)}{b c-a d}\right) \left(-\log \left(\frac{e (a+b x)}{c+d x}\right)+\log (a+b x)+\log \left(\frac{1}{c+d x}\right)\right)}{d i}-\frac{B^2 \log (a+b x) \log ^2(i (c+d x))}{d i}+\frac{B^2 \log ^2(i (c+d x)) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{d i}-\frac{B^2 \log ^2(a+b x) \log (i (c+d x))}{d i}-\frac{B^2 \log (a+b x) \log ^2\left(\frac{1}{c+d x}\right)}{d i}+\frac{B^2 \log ^2\left(\frac{1}{c+d x}\right) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{d i}-\frac{B^2 \log ^2(c i+d i x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{d i}+\frac{B^2 \log ^2(a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{d i}-\frac{2 B^2 \log (a+b x) \log \left(\frac{1}{c+d x}\right) \log (i (c+d x))}{d i}+\frac{A B \log ^2(i (c+d x))}{d i}+\frac{B^2 \log ^3(i (c+d x))}{3 d i}","-\frac{2 B \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{d i}+\frac{2 B^2 \text{PolyLog}\left(3,\frac{d (a+b x)}{b (c+d x)}\right)}{d i}-\frac{\log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{d i}",1,"-((B^2*Log[a + b*x]*Log[(c + d*x)^(-1)]^2)/(d*i)) + (B^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[(c + d*x)^(-1)]^2)/(d*i) + (B^2*Log[a + b*x]^2*Log[(b*(c + d*x))/(b*c - a*d)])/(d*i) - (B^2*Log[a + b*x]^2*Log[i*(c + d*x)])/(d*i) - (2*B^2*Log[a + b*x]*Log[(c + d*x)^(-1)]*Log[i*(c + d*x)])/(d*i) + (A*B*Log[i*(c + d*x)]^2)/(d*i) - (B^2*Log[a + b*x]*Log[i*(c + d*x)]^2)/(d*i) + (B^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[i*(c + d*x)]^2)/(d*i) + (B^2*Log[i*(c + d*x)]^3)/(3*d*i) - (2*A*B*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c*i + d*i*x])/(d*i) + (2*B^2*Log[-((d*(a + b*x))/(b*c - a*d))]*(Log[a + b*x] + Log[(c + d*x)^(-1)] - Log[(e*(a + b*x))/(c + d*x)])*Log[c*i + d*i*x])/(d*i) + ((A + B*Log[(e*(a + b*x))/(c + d*x)])^2*Log[c*i + d*i*x])/(d*i) - (B^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c*i + d*i*x]^2)/(d*i) + (B^2*Log[(e*(a + b*x))/(c + d*x)]*Log[c*i + d*i*x]^2)/(d*i) + (2*B^2*Log[a + b*x]*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(d*i) - (2*A*B*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d*i) - (2*B^2*Log[(c + d*x)^(-1)]*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d*i) + (2*B^2*(Log[a + b*x] + Log[(c + d*x)^(-1)] - Log[(e*(a + b*x))/(c + d*x)])*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d*i) - (2*B^2*PolyLog[3, -((d*(a + b*x))/(b*c - a*d))])/(d*i) - (2*B^2*PolyLog[3, (b*(c + d*x))/(b*c - a*d)])/(d*i)","B",46,23,32,0.7188,1,"{2524, 12, 2528, 2418, 2390, 2301, 2394, 2393, 2391, 6688, 6742, 2499, 2396, 2433, 2374, 6589, 2302, 30, 2500, 2375, 2317, 2440, 2434}"
88,1,1163,0,5.5310747,"\int \frac{\left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(a g+b g x) (c i+d i x)} \, dx","Int[(A + B*Log[(e*(a + b*x))/(c + d*x)])^2/((a*g + b*g*x)*(c*i + d*i*x)),x]","-\frac{B^2 \log ^3(c+d x)}{3 (b c-a d) g i}+\frac{B^2 \log (a+b x) \log ^2(c+d x)}{(b c-a d) g i}-\frac{B^2 \log \left(\frac{e (a+b x)}{c+d x}\right) \log ^2(c+d x)}{(b c-a d) g i}-\frac{A B \log ^2(c+d x)}{(b c-a d) g i}+\frac{B^2 \log ^2(a+b x) \log (c+d x)}{(b c-a d) g i}-\frac{\left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 \log (c+d x)}{(b c-a d) g i}+\frac{2 A B \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{(b c-a d) g i}+\frac{2 B^2 \log (a+b x) \log \left(\frac{1}{c+d x}\right) \log (c+d x)}{(b c-a d) g i}-\frac{2 B^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \left(\log (a+b x)+\log \left(\frac{1}{c+d x}\right)-\log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x)}{(b c-a d) g i}-\frac{A B \log ^2(a+b x)}{(b c-a d) g i}+\frac{B^2 \log (a+b x) \log ^2\left(\frac{1}{c+d x}\right)}{(b c-a d) g i}-\frac{B^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2\left(\frac{1}{c+d x}\right)}{(b c-a d) g i}-\frac{B^2 \log \left(-\frac{b c-a d}{d (a+b x)}\right) \log ^2\left(\frac{e (a+b x)}{c+d x}\right)}{(b c-a d) g i}-\frac{B^2 \log (a+b x) \log ^2\left(\frac{e (a+b x)}{c+d x}\right)}{(b c-a d) g i}+\frac{\log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(b c-a d) g i}-\frac{B^2 \log ^2(a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d) g i}+\frac{2 A B \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d) g i}-\frac{2 B^2 \log (a+b x) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d) g i}+\frac{2 A B \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d) g i}+\frac{2 B^2 \log \left(\frac{1}{c+d x}\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d) g i}-\frac{2 B^2 \left(\log (a+b x)+\log \left(\frac{1}{c+d x}\right)-\log \left(\frac{e (a+b x)}{c+d x}\right)\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d) g i}+\frac{2 A B \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d) g i}+\frac{2 B^2 \log \left(\frac{e (a+b x)}{c+d x}\right) \text{PolyLog}\left(2,\frac{b c-a d}{d (a+b x)}+1\right)}{(b c-a d) g i}+\frac{2 B^2 \text{PolyLog}\left(3,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d) g i}+\frac{2 B^2 \text{PolyLog}\left(3,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d) g i}+\frac{2 B^2 \text{PolyLog}\left(3,\frac{b c-a d}{d (a+b x)}+1\right)}{(b c-a d) g i}","\frac{\left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^3}{3 B g i (b c-a d)}",1,"-((A*B*Log[a + b*x]^2)/((b*c - a*d)*g*i)) + (B^2*Log[a + b*x]*Log[(c + d*x)^(-1)]^2)/((b*c - a*d)*g*i) - (B^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[(c + d*x)^(-1)]^2)/((b*c - a*d)*g*i) - (B^2*Log[-((b*c - a*d)/(d*(a + b*x)))]*Log[(e*(a + b*x))/(c + d*x)]^2)/((b*c - a*d)*g*i) - (B^2*Log[a + b*x]*Log[(e*(a + b*x))/(c + d*x)]^2)/((b*c - a*d)*g*i) + (Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/((b*c - a*d)*g*i) + (B^2*Log[a + b*x]^2*Log[c + d*x])/((b*c - a*d)*g*i) + (2*A*B*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)*g*i) + (2*B^2*Log[a + b*x]*Log[(c + d*x)^(-1)]*Log[c + d*x])/((b*c - a*d)*g*i) - (2*B^2*Log[-((d*(a + b*x))/(b*c - a*d))]*(Log[a + b*x] + Log[(c + d*x)^(-1)] - Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/((b*c - a*d)*g*i) - ((A + B*Log[(e*(a + b*x))/(c + d*x)])^2*Log[c + d*x])/((b*c - a*d)*g*i) - (A*B*Log[c + d*x]^2)/((b*c - a*d)*g*i) + (B^2*Log[a + b*x]*Log[c + d*x]^2)/((b*c - a*d)*g*i) - (B^2*Log[(e*(a + b*x))/(c + d*x)]*Log[c + d*x]^2)/((b*c - a*d)*g*i) - (B^2*Log[c + d*x]^3)/(3*(b*c - a*d)*g*i) + (2*A*B*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)*g*i) - (B^2*Log[a + b*x]^2*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)*g*i) + (2*A*B*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)*g*i) - (2*B^2*Log[a + b*x]*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)*g*i) + (2*A*B*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)*g*i) + (2*B^2*Log[(c + d*x)^(-1)]*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)*g*i) - (2*B^2*(Log[a + b*x] + Log[(c + d*x)^(-1)] - Log[(e*(a + b*x))/(c + d*x)])*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)*g*i) + (2*B^2*Log[(e*(a + b*x))/(c + d*x)]*PolyLog[2, 1 + (b*c - a*d)/(d*(a + b*x))])/((b*c - a*d)*g*i) + (2*B^2*PolyLog[3, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)*g*i) + (2*B^2*PolyLog[3, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)*g*i) + (2*B^2*PolyLog[3, 1 + (b*c - a*d)/(d*(a + b*x))])/((b*c - a*d)*g*i)","C",61,29,42,0.6905,1,"{2528, 2524, 12, 2418, 2390, 2301, 2394, 2393, 2391, 6688, 6742, 2411, 2344, 2317, 2507, 2488, 2506, 6610, 2500, 2433, 2375, 2374, 6589, 2440, 2434, 2499, 2396, 2302, 30}"
89,1,1684,0,6.3313616,"\int \frac{\left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(a g+b g x)^2 (c i+d i x)} \, dx","Int[(A + B*Log[(e*(a + b*x))/(c + d*x)])^2/((a*g + b*g*x)^2*(c*i + d*i*x)),x]","\frac{B^2 d \log ^3(c+d x)}{3 (b c-a d)^2 g^2 i}-\frac{B^2 d \log (a+b x) \log ^2(c+d x)}{(b c-a d)^2 g^2 i}+\frac{B^2 d \log \left(\frac{e (a+b x)}{c+d x}\right) \log ^2(c+d x)}{(b c-a d)^2 g^2 i}+\frac{B^2 d \log ^2(c+d x)}{(b c-a d)^2 g^2 i}+\frac{A B d \log ^2(c+d x)}{(b c-a d)^2 g^2 i}-\frac{B^2 d \log ^2(a+b x) \log (c+d x)}{(b c-a d)^2 g^2 i}+\frac{d \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 \log (c+d x)}{(b c-a d)^2 g^2 i}-\frac{2 B^2 d \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{(b c-a d)^2 g^2 i}-\frac{2 A B d \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{(b c-a d)^2 g^2 i}-\frac{2 B^2 d \log (a+b x) \log \left(\frac{1}{c+d x}\right) \log (c+d x)}{(b c-a d)^2 g^2 i}+\frac{2 B^2 d \log \left(-\frac{d (a+b x)}{b c-a d}\right) \left(\log (a+b x)+\log \left(\frac{1}{c+d x}\right)-\log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x)}{(b c-a d)^2 g^2 i}+\frac{2 B d \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x)}{(b c-a d)^2 g^2 i}+\frac{2 B^2 d \log (c+d x)}{(b c-a d)^2 g^2 i}+\frac{B^2 d \log ^2(a+b x)}{(b c-a d)^2 g^2 i}+\frac{A B d \log ^2(a+b x)}{(b c-a d)^2 g^2 i}-\frac{B^2 d \log (a+b x) \log ^2\left(\frac{1}{c+d x}\right)}{(b c-a d)^2 g^2 i}+\frac{B^2 d \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2\left(\frac{1}{c+d x}\right)}{(b c-a d)^2 g^2 i}+\frac{B^2 d \log \left(-\frac{b c-a d}{d (a+b x)}\right) \log ^2\left(\frac{e (a+b x)}{c+d x}\right)}{(b c-a d)^2 g^2 i}+\frac{B^2 d \log (a+b x) \log ^2\left(\frac{e (a+b x)}{c+d x}\right)}{(b c-a d)^2 g^2 i}-\frac{d \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(b c-a d)^2 g^2 i}-\frac{\left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(b c-a d) g^2 i (a+b x)}-\frac{2 B^2 d \log (a+b x)}{(b c-a d)^2 g^2 i}-\frac{2 B d \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{(b c-a d)^2 g^2 i}-\frac{2 B \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{(b c-a d) g^2 i (a+b x)}+\frac{B^2 d \log ^2(a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^2 g^2 i}-\frac{2 B^2 d \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^2 g^2 i}-\frac{2 A B d \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^2 g^2 i}+\frac{2 B^2 d \log (a+b x) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^2 g^2 i}-\frac{2 B^2 d \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^2 g^2 i}-\frac{2 A B d \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^2 g^2 i}-\frac{2 B^2 d \log \left(\frac{1}{c+d x}\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^2 g^2 i}+\frac{2 B^2 d \left(\log (a+b x)+\log \left(\frac{1}{c+d x}\right)-\log \left(\frac{e (a+b x)}{c+d x}\right)\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^2 g^2 i}-\frac{2 B^2 d \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^2 g^2 i}-\frac{2 A B d \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^2 g^2 i}-\frac{2 B^2 d \log \left(\frac{e (a+b x)}{c+d x}\right) \text{PolyLog}\left(2,\frac{b c-a d}{d (a+b x)}+1\right)}{(b c-a d)^2 g^2 i}-\frac{2 B^2 d \text{PolyLog}\left(3,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^2 g^2 i}-\frac{2 B^2 d \text{PolyLog}\left(3,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^2 g^2 i}-\frac{2 B^2 d \text{PolyLog}\left(3,\frac{b c-a d}{d (a+b x)}+1\right)}{(b c-a d)^2 g^2 i}-\frac{2 B^2}{(b c-a d) g^2 i (a+b x)}","-\frac{d \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^3}{3 B g^2 i (b c-a d)^2}-\frac{b (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{g^2 i (a+b x) (b c-a d)^2}-\frac{2 b B (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^2 i (a+b x) (b c-a d)^2}-\frac{2 b B^2 (c+d x)}{g^2 i (a+b x) (b c-a d)^2}",1,"(-2*B^2)/((b*c - a*d)*g^2*i*(a + b*x)) - (2*B^2*d*Log[a + b*x])/((b*c - a*d)^2*g^2*i) + (A*B*d*Log[a + b*x]^2)/((b*c - a*d)^2*g^2*i) + (B^2*d*Log[a + b*x]^2)/((b*c - a*d)^2*g^2*i) - (B^2*d*Log[a + b*x]*Log[(c + d*x)^(-1)]^2)/((b*c - a*d)^2*g^2*i) + (B^2*d*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[(c + d*x)^(-1)]^2)/((b*c - a*d)^2*g^2*i) + (B^2*d*Log[-((b*c - a*d)/(d*(a + b*x)))]*Log[(e*(a + b*x))/(c + d*x)]^2)/((b*c - a*d)^2*g^2*i) + (B^2*d*Log[a + b*x]*Log[(e*(a + b*x))/(c + d*x)]^2)/((b*c - a*d)^2*g^2*i) - (2*B*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/((b*c - a*d)*g^2*i*(a + b*x)) - (2*B*d*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/((b*c - a*d)^2*g^2*i) - (A + B*Log[(e*(a + b*x))/(c + d*x)])^2/((b*c - a*d)*g^2*i*(a + b*x)) - (d*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/((b*c - a*d)^2*g^2*i) + (2*B^2*d*Log[c + d*x])/((b*c - a*d)^2*g^2*i) - (B^2*d*Log[a + b*x]^2*Log[c + d*x])/((b*c - a*d)^2*g^2*i) - (2*A*B*d*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^2*g^2*i) - (2*B^2*d*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^2*g^2*i) - (2*B^2*d*Log[a + b*x]*Log[(c + d*x)^(-1)]*Log[c + d*x])/((b*c - a*d)^2*g^2*i) + (2*B^2*d*Log[-((d*(a + b*x))/(b*c - a*d))]*(Log[a + b*x] + Log[(c + d*x)^(-1)] - Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/((b*c - a*d)^2*g^2*i) + (2*B*d*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/((b*c - a*d)^2*g^2*i) + (d*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2*Log[c + d*x])/((b*c - a*d)^2*g^2*i) + (A*B*d*Log[c + d*x]^2)/((b*c - a*d)^2*g^2*i) + (B^2*d*Log[c + d*x]^2)/((b*c - a*d)^2*g^2*i) - (B^2*d*Log[a + b*x]*Log[c + d*x]^2)/((b*c - a*d)^2*g^2*i) + (B^2*d*Log[(e*(a + b*x))/(c + d*x)]*Log[c + d*x]^2)/((b*c - a*d)^2*g^2*i) + (B^2*d*Log[c + d*x]^3)/(3*(b*c - a*d)^2*g^2*i) - (2*A*B*d*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^2*g^2*i) - (2*B^2*d*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^2*g^2*i) + (B^2*d*Log[a + b*x]^2*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^2*g^2*i) - (2*A*B*d*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^2*g^2*i) - (2*B^2*d*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^2*g^2*i) + (2*B^2*d*Log[a + b*x]*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^2*g^2*i) - (2*A*B*d*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^2*g^2*i) - (2*B^2*d*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^2*g^2*i) - (2*B^2*d*Log[(c + d*x)^(-1)]*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^2*g^2*i) + (2*B^2*d*(Log[a + b*x] + Log[(c + d*x)^(-1)] - Log[(e*(a + b*x))/(c + d*x)])*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^2*g^2*i) - (2*B^2*d*Log[(e*(a + b*x))/(c + d*x)]*PolyLog[2, 1 + (b*c - a*d)/(d*(a + b*x))])/((b*c - a*d)^2*g^2*i) - (2*B^2*d*PolyLog[3, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^2*g^2*i) - (2*B^2*d*PolyLog[3, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^2*g^2*i) - (2*B^2*d*PolyLog[3, 1 + (b*c - a*d)/(d*(a + b*x))])/((b*c - a*d)^2*g^2*i)","C",87,31,42,0.7381,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 6688, 6742, 2411, 2344, 2317, 2507, 2488, 2506, 6610, 2500, 2433, 2375, 2374, 6589, 2440, 2434, 2499, 2396, 2302, 30}"
90,1,1899,0,7.3656875,"\int \frac{\left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(a g+b g x)^3 (c i+d i x)} \, dx","Int[(A + B*Log[(e*(a + b*x))/(c + d*x)])^2/((a*g + b*g*x)^3*(c*i + d*i*x)),x]","-\frac{B^2 d^2 \log ^3(c+d x)}{3 (b c-a d)^3 g^3 i}+\frac{B^2 d^2 \log (a+b x) \log ^2(c+d x)}{(b c-a d)^3 g^3 i}-\frac{B^2 d^2 \log \left(\frac{e (a+b x)}{c+d x}\right) \log ^2(c+d x)}{(b c-a d)^3 g^3 i}-\frac{3 B^2 d^2 \log ^2(c+d x)}{2 (b c-a d)^3 g^3 i}-\frac{A B d^2 \log ^2(c+d x)}{(b c-a d)^3 g^3 i}+\frac{B^2 d^2 \log ^2(a+b x) \log (c+d x)}{(b c-a d)^3 g^3 i}-\frac{d^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 \log (c+d x)}{(b c-a d)^3 g^3 i}+\frac{3 B^2 d^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{(b c-a d)^3 g^3 i}+\frac{2 A B d^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{(b c-a d)^3 g^3 i}+\frac{2 B^2 d^2 \log (a+b x) \log \left(\frac{1}{c+d x}\right) \log (c+d x)}{(b c-a d)^3 g^3 i}-\frac{2 B^2 d^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \left(\log (a+b x)+\log \left(\frac{1}{c+d x}\right)-\log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x)}{(b c-a d)^3 g^3 i}-\frac{3 B d^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x)}{(b c-a d)^3 g^3 i}-\frac{7 B^2 d^2 \log (c+d x)}{2 (b c-a d)^3 g^3 i}-\frac{3 B^2 d^2 \log ^2(a+b x)}{2 (b c-a d)^3 g^3 i}-\frac{A B d^2 \log ^2(a+b x)}{(b c-a d)^3 g^3 i}+\frac{B^2 d^2 \log (a+b x) \log ^2\left(\frac{1}{c+d x}\right)}{(b c-a d)^3 g^3 i}-\frac{B^2 d^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2\left(\frac{1}{c+d x}\right)}{(b c-a d)^3 g^3 i}-\frac{B^2 d^2 \log \left(-\frac{b c-a d}{d (a+b x)}\right) \log ^2\left(\frac{e (a+b x)}{c+d x}\right)}{(b c-a d)^3 g^3 i}-\frac{B^2 d^2 \log (a+b x) \log ^2\left(\frac{e (a+b x)}{c+d x}\right)}{(b c-a d)^3 g^3 i}+\frac{d^2 \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(b c-a d)^3 g^3 i}+\frac{d \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(b c-a d)^2 g^3 i (a+b x)}-\frac{\left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{2 (b c-a d) g^3 i (a+b x)^2}+\frac{7 B^2 d^2 \log (a+b x)}{2 (b c-a d)^3 g^3 i}+\frac{3 B d^2 \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{(b c-a d)^3 g^3 i}+\frac{3 B d \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{(b c-a d)^2 g^3 i (a+b x)}-\frac{B \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{2 (b c-a d) g^3 i (a+b x)^2}-\frac{B^2 d^2 \log ^2(a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^3 g^3 i}+\frac{3 B^2 d^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^3 g^3 i}+\frac{2 A B d^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^3 g^3 i}-\frac{2 B^2 d^2 \log (a+b x) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^3 g^3 i}+\frac{3 B^2 d^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^3 g^3 i}+\frac{2 A B d^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^3 g^3 i}+\frac{2 B^2 d^2 \log \left(\frac{1}{c+d x}\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^3 g^3 i}-\frac{2 B^2 d^2 \left(\log (a+b x)+\log \left(\frac{1}{c+d x}\right)-\log \left(\frac{e (a+b x)}{c+d x}\right)\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^3 g^3 i}+\frac{3 B^2 d^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^3 g^3 i}+\frac{2 A B d^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^3 g^3 i}+\frac{2 B^2 d^2 \log \left(\frac{e (a+b x)}{c+d x}\right) \text{PolyLog}\left(2,\frac{b c-a d}{d (a+b x)}+1\right)}{(b c-a d)^3 g^3 i}+\frac{2 B^2 d^2 \text{PolyLog}\left(3,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^3 g^3 i}+\frac{2 B^2 d^2 \text{PolyLog}\left(3,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^3 g^3 i}+\frac{2 B^2 d^2 \text{PolyLog}\left(3,\frac{b c-a d}{d (a+b x)}+1\right)}{(b c-a d)^3 g^3 i}+\frac{7 B^2 d}{2 (b c-a d)^2 g^3 i (a+b x)}-\frac{B^2}{4 (b c-a d) g^3 i (a+b x)^2}","-\frac{b^2 (c+d x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{2 g^3 i (a+b x)^2 (b c-a d)^3}-\frac{b^2 B (c+d x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 g^3 i (a+b x)^2 (b c-a d)^3}+\frac{d^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^3}{3 B g^3 i (b c-a d)^3}+\frac{2 b d (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{g^3 i (a+b x) (b c-a d)^3}+\frac{4 b B d (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^3 i (a+b x) (b c-a d)^3}-\frac{b^2 B^2 (c+d x)^2}{4 g^3 i (a+b x)^2 (b c-a d)^3}+\frac{4 b B^2 d (c+d x)}{g^3 i (a+b x) (b c-a d)^3}",1,"-B^2/(4*(b*c - a*d)*g^3*i*(a + b*x)^2) + (7*B^2*d)/(2*(b*c - a*d)^2*g^3*i*(a + b*x)) + (7*B^2*d^2*Log[a + b*x])/(2*(b*c - a*d)^3*g^3*i) - (A*B*d^2*Log[a + b*x]^2)/((b*c - a*d)^3*g^3*i) - (3*B^2*d^2*Log[a + b*x]^2)/(2*(b*c - a*d)^3*g^3*i) + (B^2*d^2*Log[a + b*x]*Log[(c + d*x)^(-1)]^2)/((b*c - a*d)^3*g^3*i) - (B^2*d^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[(c + d*x)^(-1)]^2)/((b*c - a*d)^3*g^3*i) - (B^2*d^2*Log[-((b*c - a*d)/(d*(a + b*x)))]*Log[(e*(a + b*x))/(c + d*x)]^2)/((b*c - a*d)^3*g^3*i) - (B^2*d^2*Log[a + b*x]*Log[(e*(a + b*x))/(c + d*x)]^2)/((b*c - a*d)^3*g^3*i) - (B*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(2*(b*c - a*d)*g^3*i*(a + b*x)^2) + (3*B*d*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/((b*c - a*d)^2*g^3*i*(a + b*x)) + (3*B*d^2*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/((b*c - a*d)^3*g^3*i) - (A + B*Log[(e*(a + b*x))/(c + d*x)])^2/(2*(b*c - a*d)*g^3*i*(a + b*x)^2) + (d*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/((b*c - a*d)^2*g^3*i*(a + b*x)) + (d^2*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/((b*c - a*d)^3*g^3*i) - (7*B^2*d^2*Log[c + d*x])/(2*(b*c - a*d)^3*g^3*i) + (B^2*d^2*Log[a + b*x]^2*Log[c + d*x])/((b*c - a*d)^3*g^3*i) + (2*A*B*d^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^3*g^3*i) + (3*B^2*d^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^3*g^3*i) + (2*B^2*d^2*Log[a + b*x]*Log[(c + d*x)^(-1)]*Log[c + d*x])/((b*c - a*d)^3*g^3*i) - (2*B^2*d^2*Log[-((d*(a + b*x))/(b*c - a*d))]*(Log[a + b*x] + Log[(c + d*x)^(-1)] - Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/((b*c - a*d)^3*g^3*i) - (3*B*d^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/((b*c - a*d)^3*g^3*i) - (d^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2*Log[c + d*x])/((b*c - a*d)^3*g^3*i) - (A*B*d^2*Log[c + d*x]^2)/((b*c - a*d)^3*g^3*i) - (3*B^2*d^2*Log[c + d*x]^2)/(2*(b*c - a*d)^3*g^3*i) + (B^2*d^2*Log[a + b*x]*Log[c + d*x]^2)/((b*c - a*d)^3*g^3*i) - (B^2*d^2*Log[(e*(a + b*x))/(c + d*x)]*Log[c + d*x]^2)/((b*c - a*d)^3*g^3*i) - (B^2*d^2*Log[c + d*x]^3)/(3*(b*c - a*d)^3*g^3*i) + (2*A*B*d^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g^3*i) + (3*B^2*d^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g^3*i) - (B^2*d^2*Log[a + b*x]^2*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g^3*i) + (2*A*B*d^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^3*g^3*i) + (3*B^2*d^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^3*g^3*i) - (2*B^2*d^2*Log[a + b*x]*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^3*g^3*i) + (2*A*B*d^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g^3*i) + (3*B^2*d^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g^3*i) + (2*B^2*d^2*Log[(c + d*x)^(-1)]*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g^3*i) - (2*B^2*d^2*(Log[a + b*x] + Log[(c + d*x)^(-1)] - Log[(e*(a + b*x))/(c + d*x)])*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g^3*i) + (2*B^2*d^2*Log[(e*(a + b*x))/(c + d*x)]*PolyLog[2, 1 + (b*c - a*d)/(d*(a + b*x))])/((b*c - a*d)^3*g^3*i) + (2*B^2*d^2*PolyLog[3, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^3*g^3*i) + (2*B^2*d^2*PolyLog[3, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g^3*i) + (2*B^2*d^2*PolyLog[3, 1 + (b*c - a*d)/(d*(a + b*x))])/((b*c - a*d)^3*g^3*i)","C",117,31,42,0.7381,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 6688, 6742, 2411, 2344, 2317, 2507, 2488, 2506, 6610, 2500, 2433, 2375, 2374, 6589, 2440, 2434, 2499, 2396, 2302, 30}"
91,1,2044,0,8.4305571,"\int \frac{\left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(a g+b g x)^4 (c i+d i x)} \, dx","Int[(A + B*Log[(e*(a + b*x))/(c + d*x)])^2/((a*g + b*g*x)^4*(c*i + d*i*x)),x]","\frac{B^2 \log ^3(c+d x) d^3}{3 (b c-a d)^4 g^4 i}+\frac{11 B^2 \log ^2(a+b x) d^3}{6 (b c-a d)^4 g^4 i}+\frac{A B \log ^2(a+b x) d^3}{(b c-a d)^4 g^4 i}-\frac{B^2 \log (a+b x) \log ^2\left(\frac{1}{c+d x}\right) d^3}{(b c-a d)^4 g^4 i}+\frac{B^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2\left(\frac{1}{c+d x}\right) d^3}{(b c-a d)^4 g^4 i}+\frac{B^2 \log \left(-\frac{b c-a d}{d (a+b x)}\right) \log ^2\left(\frac{e (a+b x)}{c+d x}\right) d^3}{(b c-a d)^4 g^4 i}+\frac{B^2 \log (a+b x) \log ^2\left(\frac{e (a+b x)}{c+d x}\right) d^3}{(b c-a d)^4 g^4 i}-\frac{\log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 d^3}{(b c-a d)^4 g^4 i}-\frac{B^2 \log (a+b x) \log ^2(c+d x) d^3}{(b c-a d)^4 g^4 i}+\frac{B^2 \log \left(\frac{e (a+b x)}{c+d x}\right) \log ^2(c+d x) d^3}{(b c-a d)^4 g^4 i}+\frac{11 B^2 \log ^2(c+d x) d^3}{6 (b c-a d)^4 g^4 i}+\frac{A B \log ^2(c+d x) d^3}{(b c-a d)^4 g^4 i}-\frac{85 B^2 \log (a+b x) d^3}{18 (b c-a d)^4 g^4 i}-\frac{11 B \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) d^3}{3 (b c-a d)^4 g^4 i}-\frac{B^2 \log ^2(a+b x) \log (c+d x) d^3}{(b c-a d)^4 g^4 i}+\frac{\left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 \log (c+d x) d^3}{(b c-a d)^4 g^4 i}-\frac{11 B^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) d^3}{3 (b c-a d)^4 g^4 i}-\frac{2 A B \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) d^3}{(b c-a d)^4 g^4 i}-\frac{2 B^2 \log (a+b x) \log \left(\frac{1}{c+d x}\right) \log (c+d x) d^3}{(b c-a d)^4 g^4 i}+\frac{2 B^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \left(\log (a+b x)+\log \left(\frac{1}{c+d x}\right)-\log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x) d^3}{(b c-a d)^4 g^4 i}+\frac{11 B \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x) d^3}{3 (b c-a d)^4 g^4 i}+\frac{85 B^2 \log (c+d x) d^3}{18 (b c-a d)^4 g^4 i}+\frac{B^2 \log ^2(a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) d^3}{(b c-a d)^4 g^4 i}-\frac{11 B^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) d^3}{3 (b c-a d)^4 g^4 i}-\frac{2 A B \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) d^3}{(b c-a d)^4 g^4 i}+\frac{2 B^2 \log (a+b x) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) d^3}{(b c-a d)^4 g^4 i}-\frac{11 B^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) d^3}{3 (b c-a d)^4 g^4 i}-\frac{2 A B \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) d^3}{(b c-a d)^4 g^4 i}-\frac{2 B^2 \log \left(\frac{1}{c+d x}\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) d^3}{(b c-a d)^4 g^4 i}+\frac{2 B^2 \left(\log (a+b x)+\log \left(\frac{1}{c+d x}\right)-\log \left(\frac{e (a+b x)}{c+d x}\right)\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) d^3}{(b c-a d)^4 g^4 i}-\frac{11 B^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) d^3}{3 (b c-a d)^4 g^4 i}-\frac{2 A B \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) d^3}{(b c-a d)^4 g^4 i}-\frac{2 B^2 \log \left(\frac{e (a+b x)}{c+d x}\right) \text{PolyLog}\left(2,\frac{b c-a d}{d (a+b x)}+1\right) d^3}{(b c-a d)^4 g^4 i}-\frac{2 B^2 \text{PolyLog}\left(3,-\frac{d (a+b x)}{b c-a d}\right) d^3}{(b c-a d)^4 g^4 i}-\frac{2 B^2 \text{PolyLog}\left(3,\frac{b (c+d x)}{b c-a d}\right) d^3}{(b c-a d)^4 g^4 i}-\frac{2 B^2 \text{PolyLog}\left(3,\frac{b c-a d}{d (a+b x)}+1\right) d^3}{(b c-a d)^4 g^4 i}-\frac{\left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 d^2}{(b c-a d)^3 g^4 i (a+b x)}-\frac{11 B \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) d^2}{3 (b c-a d)^3 g^4 i (a+b x)}-\frac{85 B^2 d^2}{18 (b c-a d)^3 g^4 i (a+b x)}+\frac{\left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 d}{2 (b c-a d)^2 g^4 i (a+b x)^2}+\frac{5 B \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) d}{6 (b c-a d)^2 g^4 i (a+b x)^2}+\frac{19 B^2 d}{36 (b c-a d)^2 g^4 i (a+b x)^2}-\frac{\left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{3 (b c-a d) g^4 i (a+b x)^3}-\frac{2 B \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{9 (b c-a d) g^4 i (a+b x)^3}-\frac{2 B^2}{27 (b c-a d) g^4 i (a+b x)^3}","-\frac{b^3 (c+d x)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{3 g^4 i (a+b x)^3 (b c-a d)^4}-\frac{2 b^3 B (c+d x)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{9 g^4 i (a+b x)^3 (b c-a d)^4}+\frac{3 b^2 d (c+d x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{2 g^4 i (a+b x)^2 (b c-a d)^4}+\frac{3 b^2 B d (c+d x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 g^4 i (a+b x)^2 (b c-a d)^4}-\frac{3 b d^2 (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{g^4 i (a+b x) (b c-a d)^4}-\frac{6 b B d^2 (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^4 i (a+b x) (b c-a d)^4}-\frac{d^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^3}{3 B g^4 i (b c-a d)^4}-\frac{2 b^3 B^2 (c+d x)^3}{27 g^4 i (a+b x)^3 (b c-a d)^4}+\frac{3 b^2 B^2 d (c+d x)^2}{4 g^4 i (a+b x)^2 (b c-a d)^4}-\frac{6 b B^2 d^2 (c+d x)}{g^4 i (a+b x) (b c-a d)^4}",1,"(-2*B^2)/(27*(b*c - a*d)*g^4*i*(a + b*x)^3) + (19*B^2*d)/(36*(b*c - a*d)^2*g^4*i*(a + b*x)^2) - (85*B^2*d^2)/(18*(b*c - a*d)^3*g^4*i*(a + b*x)) - (85*B^2*d^3*Log[a + b*x])/(18*(b*c - a*d)^4*g^4*i) + (A*B*d^3*Log[a + b*x]^2)/((b*c - a*d)^4*g^4*i) + (11*B^2*d^3*Log[a + b*x]^2)/(6*(b*c - a*d)^4*g^4*i) - (B^2*d^3*Log[a + b*x]*Log[(c + d*x)^(-1)]^2)/((b*c - a*d)^4*g^4*i) + (B^2*d^3*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[(c + d*x)^(-1)]^2)/((b*c - a*d)^4*g^4*i) + (B^2*d^3*Log[-((b*c - a*d)/(d*(a + b*x)))]*Log[(e*(a + b*x))/(c + d*x)]^2)/((b*c - a*d)^4*g^4*i) + (B^2*d^3*Log[a + b*x]*Log[(e*(a + b*x))/(c + d*x)]^2)/((b*c - a*d)^4*g^4*i) - (2*B*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(9*(b*c - a*d)*g^4*i*(a + b*x)^3) + (5*B*d*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(6*(b*c - a*d)^2*g^4*i*(a + b*x)^2) - (11*B*d^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(3*(b*c - a*d)^3*g^4*i*(a + b*x)) - (11*B*d^3*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(3*(b*c - a*d)^4*g^4*i) - (A + B*Log[(e*(a + b*x))/(c + d*x)])^2/(3*(b*c - a*d)*g^4*i*(a + b*x)^3) + (d*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(2*(b*c - a*d)^2*g^4*i*(a + b*x)^2) - (d^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/((b*c - a*d)^3*g^4*i*(a + b*x)) - (d^3*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/((b*c - a*d)^4*g^4*i) + (85*B^2*d^3*Log[c + d*x])/(18*(b*c - a*d)^4*g^4*i) - (B^2*d^3*Log[a + b*x]^2*Log[c + d*x])/((b*c - a*d)^4*g^4*i) - (2*A*B*d^3*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^4*g^4*i) - (11*B^2*d^3*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(3*(b*c - a*d)^4*g^4*i) - (2*B^2*d^3*Log[a + b*x]*Log[(c + d*x)^(-1)]*Log[c + d*x])/((b*c - a*d)^4*g^4*i) + (2*B^2*d^3*Log[-((d*(a + b*x))/(b*c - a*d))]*(Log[a + b*x] + Log[(c + d*x)^(-1)] - Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/((b*c - a*d)^4*g^4*i) + (11*B*d^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(3*(b*c - a*d)^4*g^4*i) + (d^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2*Log[c + d*x])/((b*c - a*d)^4*g^4*i) + (A*B*d^3*Log[c + d*x]^2)/((b*c - a*d)^4*g^4*i) + (11*B^2*d^3*Log[c + d*x]^2)/(6*(b*c - a*d)^4*g^4*i) - (B^2*d^3*Log[a + b*x]*Log[c + d*x]^2)/((b*c - a*d)^4*g^4*i) + (B^2*d^3*Log[(e*(a + b*x))/(c + d*x)]*Log[c + d*x]^2)/((b*c - a*d)^4*g^4*i) + (B^2*d^3*Log[c + d*x]^3)/(3*(b*c - a*d)^4*g^4*i) - (2*A*B*d^3*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^4*i) - (11*B^2*d^3*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(3*(b*c - a*d)^4*g^4*i) + (B^2*d^3*Log[a + b*x]^2*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^4*i) - (2*A*B*d^3*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^4*g^4*i) - (11*B^2*d^3*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(3*(b*c - a*d)^4*g^4*i) + (2*B^2*d^3*Log[a + b*x]*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^4*g^4*i) - (2*A*B*d^3*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^4*i) - (11*B^2*d^3*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(3*(b*c - a*d)^4*g^4*i) - (2*B^2*d^3*Log[(c + d*x)^(-1)]*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^4*i) + (2*B^2*d^3*(Log[a + b*x] + Log[(c + d*x)^(-1)] - Log[(e*(a + b*x))/(c + d*x)])*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^4*i) - (2*B^2*d^3*Log[(e*(a + b*x))/(c + d*x)]*PolyLog[2, 1 + (b*c - a*d)/(d*(a + b*x))])/((b*c - a*d)^4*g^4*i) - (2*B^2*d^3*PolyLog[3, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^4*g^4*i) - (2*B^2*d^3*PolyLog[3, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^4*i) - (2*B^2*d^3*PolyLog[3, 1 + (b*c - a*d)/(d*(a + b*x))])/((b*c - a*d)^4*g^4*i)","C",151,31,42,0.7381,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 6688, 6742, 2411, 2344, 2317, 2507, 2488, 2506, 6610, 2500, 2433, 2375, 2374, 6589, 2440, 2434, 2499, 2396, 2302, 30}"
92,1,2224,0,6.1496628,"\int \frac{(a g+b g x)^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(c i+d i x)^2} \, dx","Int[((a*g + b*g*x)^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(c*i + d*i*x)^2,x]","\frac{b B^2 (b c-a d)^2 \log ^3(c+d x) g^3}{d^4 i^2}+\frac{b B^2 (b c-a d)^2 \log ^2(a+b x) g^3}{d^4 i^2}+\frac{a b B^2 (2 b c-3 a d) \log ^2(a+b x) g^3}{d^3 i^2}+\frac{a^2 b B^2 \log ^2(a+b x) g^3}{2 d^2 i^2}-\frac{3 b B^2 (b c-a d)^2 \log (a+b x) \log ^2\left(\frac{1}{c+d x}\right) g^3}{d^4 i^2}+\frac{3 b B^2 (b c-a d)^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2\left(\frac{1}{c+d x}\right) g^3}{d^4 i^2}+\frac{b^3 x^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 g^3}{2 d^2 i^2}-\frac{b^2 (2 b c-3 a d) x \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 g^3}{d^3 i^2}+\frac{(b c-a d)^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 g^3}{d^4 i^2 (c+d x)}-\frac{3 b B^2 (b c-a d)^2 \log (a+b x) \log ^2(c+d x) g^3}{d^4 i^2}+\frac{3 b B^2 (b c-a d)^2 \log \left(\frac{e (a+b x)}{c+d x}\right) \log ^2(c+d x) g^3}{d^4 i^2}+\frac{b B^2 (b c-a d)^2 \log ^2(c+d x) g^3}{d^4 i^2}+\frac{3 A b B (b c-a d)^2 \log ^2(c+d x) g^3}{d^4 i^2}+\frac{b^2 B^2 c (2 b c-3 a d) \log ^2(c+d x) g^3}{d^4 i^2}+\frac{b^3 B^2 c^2 \log ^2(c+d x) g^3}{2 d^4 i^2}-\frac{A b^2 B (b c-a d) x g^3}{d^3 i^2}+\frac{2 b B^2 (b c-a d)^2 \log (a+b x) g^3}{d^4 i^2}-\frac{b B^2 (b c-a d) (a+b x) \log \left(\frac{e (a+b x)}{c+d x}\right) g^3}{d^3 i^2}-\frac{2 b B (b c-a d)^2 \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) g^3}{d^4 i^2}-\frac{2 a b B (2 b c-3 a d) \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) g^3}{d^3 i^2}-\frac{a^2 b B \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) g^3}{d^2 i^2}-\frac{2 B (b c-a d)^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) g^3}{d^4 i^2 (c+d x)}-\frac{3 b B^2 (b c-a d)^2 \log ^2(a+b x) \log (c+d x) g^3}{d^4 i^2}+\frac{3 b (b c-a d)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 \log (c+d x) g^3}{d^4 i^2}-\frac{2 b B^2 (b c-a d)^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) g^3}{d^4 i^2}-\frac{6 A b B (b c-a d)^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) g^3}{d^4 i^2}-\frac{2 b^2 B^2 c (2 b c-3 a d) \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) g^3}{d^4 i^2}-\frac{b^3 B^2 c^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) g^3}{d^4 i^2}-\frac{6 b B^2 (b c-a d)^2 \log (a+b x) \log \left(\frac{1}{c+d x}\right) \log (c+d x) g^3}{d^4 i^2}+\frac{6 b B^2 (b c-a d)^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \left(\log (a+b x)+\log \left(\frac{1}{c+d x}\right)-\log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x) g^3}{d^4 i^2}+\frac{2 b B (b c-a d)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x) g^3}{d^4 i^2}+\frac{2 b^2 B c (2 b c-3 a d) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x) g^3}{d^4 i^2}+\frac{b^3 B c^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x) g^3}{d^4 i^2}-\frac{b B^2 (b c-a d)^2 \log (c+d x) g^3}{d^4 i^2}+\frac{3 b B^2 (b c-a d)^2 \log ^2(a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) g^3}{d^4 i^2}-\frac{2 b B^2 (b c-a d)^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) g^3}{d^4 i^2}-\frac{2 a b B^2 (2 b c-3 a d) \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) g^3}{d^3 i^2}-\frac{a^2 b B^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) g^3}{d^2 i^2}+\frac{6 b B^2 (b c-a d)^2 \log (a+b x) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) g^3}{d^4 i^2}-\frac{2 b B^2 (b c-a d)^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) g^3}{d^4 i^2}-\frac{2 a b B^2 (2 b c-3 a d) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) g^3}{d^3 i^2}-\frac{a^2 b B^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) g^3}{d^2 i^2}-\frac{6 b B^2 (b c-a d)^2 \log \left(\frac{1}{c+d x}\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) g^3}{d^4 i^2}+\frac{6 b B^2 (b c-a d)^2 \left(\log (a+b x)+\log \left(\frac{1}{c+d x}\right)-\log \left(\frac{e (a+b x)}{c+d x}\right)\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) g^3}{d^4 i^2}-\frac{2 b B^2 (b c-a d)^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) g^3}{d^4 i^2}-\frac{6 A b B (b c-a d)^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) g^3}{d^4 i^2}-\frac{2 b^2 B^2 c (2 b c-3 a d) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) g^3}{d^4 i^2}-\frac{b^3 B^2 c^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) g^3}{d^4 i^2}-\frac{6 b B^2 (b c-a d)^2 \text{PolyLog}\left(3,-\frac{d (a+b x)}{b c-a d}\right) g^3}{d^4 i^2}-\frac{6 b B^2 (b c-a d)^2 \text{PolyLog}\left(3,\frac{b (c+d x)}{b c-a d}\right) g^3}{d^4 i^2}+\frac{2 B^2 (b c-a d)^3 g^3}{d^4 i^2 (c+d x)}","-\frac{6 b B g^3 (b c-a d)^2 \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{d^4 i^2}-\frac{6 b B^2 g^3 (b c-a d)^2 \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{d^4 i^2}-\frac{b B^2 g^3 (b c-a d)^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{d (a+b x)}\right)}{d^4 i^2}+\frac{6 b B^2 g^3 (b c-a d)^2 \text{PolyLog}\left(3,\frac{d (a+b x)}{b (c+d x)}\right)}{d^4 i^2}+\frac{b^3 g^3 (c+d x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{2 d^4 i^2}-\frac{3 b g^3 (a+b x) (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{d^3 i^2}-\frac{3 b g^3 (b c-a d)^2 \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{d^4 i^2}-\frac{g^3 (a+b x) (b c-a d)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{d^3 i^2 (c+d x)}-\frac{b B g^3 (a+b x) (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{d^3 i^2}-\frac{6 b B g^3 (b c-a d)^2 \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{d^4 i^2}+\frac{b B g^3 (b c-a d)^2 \log \left(1-\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{d^4 i^2}+\frac{2 A B g^3 (a+b x) (b c-a d)^2}{d^3 i^2 (c+d x)}+\frac{2 B^2 g^3 (a+b x) (b c-a d)^2 \log \left(\frac{e (a+b x)}{c+d x}\right)}{d^3 i^2 (c+d x)}-\frac{2 B^2 g^3 (a+b x) (b c-a d)^2}{d^3 i^2 (c+d x)}+\frac{b B^2 g^3 (b c-a d)^2 \log (c+d x)}{d^4 i^2}",1,"-((A*b^2*B*(b*c - a*d)*g^3*x)/(d^3*i^2)) + (2*B^2*(b*c - a*d)^3*g^3)/(d^4*i^2*(c + d*x)) + (2*b*B^2*(b*c - a*d)^2*g^3*Log[a + b*x])/(d^4*i^2) + (a^2*b*B^2*g^3*Log[a + b*x]^2)/(2*d^2*i^2) + (a*b*B^2*(2*b*c - 3*a*d)*g^3*Log[a + b*x]^2)/(d^3*i^2) + (b*B^2*(b*c - a*d)^2*g^3*Log[a + b*x]^2)/(d^4*i^2) - (3*b*B^2*(b*c - a*d)^2*g^3*Log[a + b*x]*Log[(c + d*x)^(-1)]^2)/(d^4*i^2) + (3*b*B^2*(b*c - a*d)^2*g^3*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[(c + d*x)^(-1)]^2)/(d^4*i^2) - (b*B^2*(b*c - a*d)*g^3*(a + b*x)*Log[(e*(a + b*x))/(c + d*x)])/(d^3*i^2) - (2*B*(b*c - a*d)^3*g^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(d^4*i^2*(c + d*x)) - (a^2*b*B*g^3*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(d^2*i^2) - (2*a*b*B*(2*b*c - 3*a*d)*g^3*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(d^3*i^2) - (2*b*B*(b*c - a*d)^2*g^3*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(d^4*i^2) - (b^2*(2*b*c - 3*a*d)*g^3*x*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(d^3*i^2) + (b^3*g^3*x^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(2*d^2*i^2) + ((b*c - a*d)^3*g^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(d^4*i^2*(c + d*x)) - (b*B^2*(b*c - a*d)^2*g^3*Log[c + d*x])/(d^4*i^2) - (3*b*B^2*(b*c - a*d)^2*g^3*Log[a + b*x]^2*Log[c + d*x])/(d^4*i^2) - (b^3*B^2*c^2*g^3*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^4*i^2) - (2*b^2*B^2*c*(2*b*c - 3*a*d)*g^3*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^4*i^2) - (6*A*b*B*(b*c - a*d)^2*g^3*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^4*i^2) - (2*b*B^2*(b*c - a*d)^2*g^3*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^4*i^2) - (6*b*B^2*(b*c - a*d)^2*g^3*Log[a + b*x]*Log[(c + d*x)^(-1)]*Log[c + d*x])/(d^4*i^2) + (6*b*B^2*(b*c - a*d)^2*g^3*Log[-((d*(a + b*x))/(b*c - a*d))]*(Log[a + b*x] + Log[(c + d*x)^(-1)] - Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(d^4*i^2) + (b^3*B*c^2*g^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(d^4*i^2) + (2*b^2*B*c*(2*b*c - 3*a*d)*g^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(d^4*i^2) + (2*b*B*(b*c - a*d)^2*g^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(d^4*i^2) + (3*b*(b*c - a*d)^2*g^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2*Log[c + d*x])/(d^4*i^2) + (b^3*B^2*c^2*g^3*Log[c + d*x]^2)/(2*d^4*i^2) + (b^2*B^2*c*(2*b*c - 3*a*d)*g^3*Log[c + d*x]^2)/(d^4*i^2) + (3*A*b*B*(b*c - a*d)^2*g^3*Log[c + d*x]^2)/(d^4*i^2) + (b*B^2*(b*c - a*d)^2*g^3*Log[c + d*x]^2)/(d^4*i^2) - (3*b*B^2*(b*c - a*d)^2*g^3*Log[a + b*x]*Log[c + d*x]^2)/(d^4*i^2) + (3*b*B^2*(b*c - a*d)^2*g^3*Log[(e*(a + b*x))/(c + d*x)]*Log[c + d*x]^2)/(d^4*i^2) + (b*B^2*(b*c - a*d)^2*g^3*Log[c + d*x]^3)/(d^4*i^2) - (a^2*b*B^2*g^3*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(d^2*i^2) - (2*a*b*B^2*(2*b*c - 3*a*d)*g^3*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(d^3*i^2) - (2*b*B^2*(b*c - a*d)^2*g^3*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(d^4*i^2) + (3*b*B^2*(b*c - a*d)^2*g^3*Log[a + b*x]^2*Log[(b*(c + d*x))/(b*c - a*d)])/(d^4*i^2) - (a^2*b*B^2*g^3*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(d^2*i^2) - (2*a*b*B^2*(2*b*c - 3*a*d)*g^3*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(d^3*i^2) - (2*b*B^2*(b*c - a*d)^2*g^3*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(d^4*i^2) + (6*b*B^2*(b*c - a*d)^2*g^3*Log[a + b*x]*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(d^4*i^2) - (b^3*B^2*c^2*g^3*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^4*i^2) - (2*b^2*B^2*c*(2*b*c - 3*a*d)*g^3*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^4*i^2) - (6*A*b*B*(b*c - a*d)^2*g^3*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^4*i^2) - (2*b*B^2*(b*c - a*d)^2*g^3*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^4*i^2) - (6*b*B^2*(b*c - a*d)^2*g^3*Log[(c + d*x)^(-1)]*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^4*i^2) + (6*b*B^2*(b*c - a*d)^2*g^3*(Log[a + b*x] + Log[(c + d*x)^(-1)] - Log[(e*(a + b*x))/(c + d*x)])*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^4*i^2) - (6*b*B^2*(b*c - a*d)^2*g^3*PolyLog[3, -((d*(a + b*x))/(b*c - a*d))])/(d^4*i^2) - (6*b*B^2*(b*c - a*d)^2*g^3*PolyLog[3, (b*(c + d*x))/(b*c - a*d)])/(d^4*i^2)","B",119,28,42,0.6667,1,"{2528, 2523, 12, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 2525, 2486, 31, 44, 6688, 6742, 2500, 2433, 2375, 2317, 2374, 6589, 2440, 2434, 2499, 2396, 2302, 30}"
93,1,1681,0,5.0933146,"\int \frac{(a g+b g x)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(c i+d i x)^2} \, dx","Int[((a*g + b*g*x)^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(c*i + d*i*x)^2,x]","-\frac{2 b B^2 (b c-a d) g^2 \log ^3(c+d x)}{3 d^3 i^2}+\frac{2 b B^2 (b c-a d) g^2 \log (a+b x) \log ^2(c+d x)}{d^3 i^2}-\frac{2 b B^2 (b c-a d) g^2 \log \left(\frac{e (a+b x)}{c+d x}\right) \log ^2(c+d x)}{d^3 i^2}-\frac{b B^2 (b c-a d) g^2 \log ^2(c+d x)}{d^3 i^2}-\frac{2 A b B (b c-a d) g^2 \log ^2(c+d x)}{d^3 i^2}-\frac{b^2 B^2 c g^2 \log ^2(c+d x)}{d^3 i^2}+\frac{2 b B^2 (b c-a d) g^2 \log ^2(a+b x) \log (c+d x)}{d^3 i^2}-\frac{2 b (b c-a d) g^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 \log (c+d x)}{d^3 i^2}+\frac{2 b B^2 (b c-a d) g^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{d^3 i^2}+\frac{4 A b B (b c-a d) g^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{d^3 i^2}+\frac{2 b^2 B^2 c g^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{d^3 i^2}+\frac{4 b B^2 (b c-a d) g^2 \log (a+b x) \log \left(\frac{1}{c+d x}\right) \log (c+d x)}{d^3 i^2}-\frac{4 b B^2 (b c-a d) g^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \left(\log (a+b x)+\log \left(\frac{1}{c+d x}\right)-\log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x)}{d^3 i^2}-\frac{2 b B (b c-a d) g^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x)}{d^3 i^2}-\frac{2 b^2 B c g^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x)}{d^3 i^2}+\frac{2 b B^2 (b c-a d) g^2 \log (c+d x)}{d^3 i^2}-\frac{b B^2 (b c-a d) g^2 \log ^2(a+b x)}{d^3 i^2}-\frac{a b B^2 g^2 \log ^2(a+b x)}{d^2 i^2}+\frac{2 b B^2 (b c-a d) g^2 \log (a+b x) \log ^2\left(\frac{1}{c+d x}\right)}{d^3 i^2}-\frac{2 b B^2 (b c-a d) g^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2\left(\frac{1}{c+d x}\right)}{d^3 i^2}+\frac{b^2 g^2 x \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{d^2 i^2}-\frac{(b c-a d)^2 g^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{d^3 i^2 (c+d x)}-\frac{2 b B^2 (b c-a d) g^2 \log (a+b x)}{d^3 i^2}+\frac{2 b B (b c-a d) g^2 \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{d^3 i^2}+\frac{2 a b B g^2 \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{d^2 i^2}+\frac{2 B (b c-a d)^2 g^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{d^3 i^2 (c+d x)}-\frac{2 b B^2 (b c-a d) g^2 \log ^2(a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{d^3 i^2}+\frac{2 b B^2 (b c-a d) g^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{d^3 i^2}+\frac{2 a b B^2 g^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{d^2 i^2}-\frac{4 b B^2 (b c-a d) g^2 \log (a+b x) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{d^3 i^2}+\frac{2 b B^2 (b c-a d) g^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{d^3 i^2}+\frac{2 a b B^2 g^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{d^2 i^2}+\frac{4 b B^2 (b c-a d) g^2 \log \left(\frac{1}{c+d x}\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^3 i^2}-\frac{4 b B^2 (b c-a d) g^2 \left(\log (a+b x)+\log \left(\frac{1}{c+d x}\right)-\log \left(\frac{e (a+b x)}{c+d x}\right)\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^3 i^2}+\frac{2 b B^2 (b c-a d) g^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^3 i^2}+\frac{4 A b B (b c-a d) g^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^3 i^2}+\frac{2 b^2 B^2 c g^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^3 i^2}+\frac{4 b B^2 (b c-a d) g^2 \text{PolyLog}\left(3,-\frac{d (a+b x)}{b c-a d}\right)}{d^3 i^2}+\frac{4 b B^2 (b c-a d) g^2 \text{PolyLog}\left(3,\frac{b (c+d x)}{b c-a d}\right)}{d^3 i^2}-\frac{2 B^2 (b c-a d)^2 g^2}{d^3 i^2 (c+d x)}","\frac{4 b B g^2 (b c-a d) \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{d^3 i^2}+\frac{2 b B^2 g^2 (b c-a d) \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{d^3 i^2}-\frac{4 b B^2 g^2 (b c-a d) \text{PolyLog}\left(3,\frac{d (a+b x)}{b (c+d x)}\right)}{d^3 i^2}+\frac{b g^2 (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{d^2 i^2}+\frac{2 b g^2 (b c-a d) \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{d^3 i^2}+\frac{g^2 (a+b x) (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{d^2 i^2 (c+d x)}+\frac{2 b B g^2 (b c-a d) \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{d^3 i^2}-\frac{2 A B g^2 (a+b x) (b c-a d)}{d^2 i^2 (c+d x)}-\frac{2 B^2 g^2 (a+b x) (b c-a d) \log \left(\frac{e (a+b x)}{c+d x}\right)}{d^2 i^2 (c+d x)}+\frac{2 B^2 g^2 (a+b x) (b c-a d)}{d^2 i^2 (c+d x)}",1,"(-2*B^2*(b*c - a*d)^2*g^2)/(d^3*i^2*(c + d*x)) - (2*b*B^2*(b*c - a*d)*g^2*Log[a + b*x])/(d^3*i^2) - (a*b*B^2*g^2*Log[a + b*x]^2)/(d^2*i^2) - (b*B^2*(b*c - a*d)*g^2*Log[a + b*x]^2)/(d^3*i^2) + (2*b*B^2*(b*c - a*d)*g^2*Log[a + b*x]*Log[(c + d*x)^(-1)]^2)/(d^3*i^2) - (2*b*B^2*(b*c - a*d)*g^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[(c + d*x)^(-1)]^2)/(d^3*i^2) + (2*B*(b*c - a*d)^2*g^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(d^3*i^2*(c + d*x)) + (2*a*b*B*g^2*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(d^2*i^2) + (2*b*B*(b*c - a*d)*g^2*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(d^3*i^2) + (b^2*g^2*x*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(d^2*i^2) - ((b*c - a*d)^2*g^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(d^3*i^2*(c + d*x)) + (2*b*B^2*(b*c - a*d)*g^2*Log[c + d*x])/(d^3*i^2) + (2*b*B^2*(b*c - a*d)*g^2*Log[a + b*x]^2*Log[c + d*x])/(d^3*i^2) + (2*b^2*B^2*c*g^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^3*i^2) + (4*A*b*B*(b*c - a*d)*g^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^3*i^2) + (2*b*B^2*(b*c - a*d)*g^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^3*i^2) + (4*b*B^2*(b*c - a*d)*g^2*Log[a + b*x]*Log[(c + d*x)^(-1)]*Log[c + d*x])/(d^3*i^2) - (4*b*B^2*(b*c - a*d)*g^2*Log[-((d*(a + b*x))/(b*c - a*d))]*(Log[a + b*x] + Log[(c + d*x)^(-1)] - Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(d^3*i^2) - (2*b^2*B*c*g^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(d^3*i^2) - (2*b*B*(b*c - a*d)*g^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(d^3*i^2) - (2*b*(b*c - a*d)*g^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2*Log[c + d*x])/(d^3*i^2) - (b^2*B^2*c*g^2*Log[c + d*x]^2)/(d^3*i^2) - (2*A*b*B*(b*c - a*d)*g^2*Log[c + d*x]^2)/(d^3*i^2) - (b*B^2*(b*c - a*d)*g^2*Log[c + d*x]^2)/(d^3*i^2) + (2*b*B^2*(b*c - a*d)*g^2*Log[a + b*x]*Log[c + d*x]^2)/(d^3*i^2) - (2*b*B^2*(b*c - a*d)*g^2*Log[(e*(a + b*x))/(c + d*x)]*Log[c + d*x]^2)/(d^3*i^2) - (2*b*B^2*(b*c - a*d)*g^2*Log[c + d*x]^3)/(3*d^3*i^2) + (2*a*b*B^2*g^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(d^2*i^2) + (2*b*B^2*(b*c - a*d)*g^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(d^3*i^2) - (2*b*B^2*(b*c - a*d)*g^2*Log[a + b*x]^2*Log[(b*(c + d*x))/(b*c - a*d)])/(d^3*i^2) + (2*a*b*B^2*g^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(d^2*i^2) + (2*b*B^2*(b*c - a*d)*g^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(d^3*i^2) - (4*b*B^2*(b*c - a*d)*g^2*Log[a + b*x]*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(d^3*i^2) + (2*b^2*B^2*c*g^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^3*i^2) + (4*A*b*B*(b*c - a*d)*g^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^3*i^2) + (2*b*B^2*(b*c - a*d)*g^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^3*i^2) + (4*b*B^2*(b*c - a*d)*g^2*Log[(c + d*x)^(-1)]*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^3*i^2) - (4*b*B^2*(b*c - a*d)*g^2*(Log[a + b*x] + Log[(c + d*x)^(-1)] - Log[(e*(a + b*x))/(c + d*x)])*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^3*i^2) + (4*b*B^2*(b*c - a*d)*g^2*PolyLog[3, -((d*(a + b*x))/(b*c - a*d))])/(d^3*i^2) + (4*b*B^2*(b*c - a*d)*g^2*PolyLog[3, (b*(c + d*x))/(b*c - a*d)])/(d^3*i^2)","B",94,26,42,0.6190,1,"{2528, 2523, 12, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 2525, 44, 6688, 6742, 2500, 2433, 2375, 2317, 2374, 6589, 2440, 2434, 2499, 2396, 2302, 30}"
94,1,1060,0,4.2416188,"\int \frac{(a g+b g x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(c i+d i x)^2} \, dx","Int[((a*g + b*g*x)*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(c*i + d*i*x)^2,x]","\frac{b B^2 g \log ^3(c+d x)}{3 d^2 i^2}-\frac{b B^2 g \log (a+b x) \log ^2(c+d x)}{d^2 i^2}+\frac{b B^2 g \log \left(\frac{e (a+b x)}{c+d x}\right) \log ^2(c+d x)}{d^2 i^2}+\frac{b B^2 g \log ^2(c+d x)}{d^2 i^2}+\frac{A b B g \log ^2(c+d x)}{d^2 i^2}-\frac{b B^2 g \log ^2(a+b x) \log (c+d x)}{d^2 i^2}+\frac{b g \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 \log (c+d x)}{d^2 i^2}-\frac{2 b B^2 g \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{d^2 i^2}-\frac{2 A b B g \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{d^2 i^2}-\frac{2 b B^2 g \log (a+b x) \log \left(\frac{1}{c+d x}\right) \log (c+d x)}{d^2 i^2}+\frac{2 b B^2 g \log \left(-\frac{d (a+b x)}{b c-a d}\right) \left(\log (a+b x)+\log \left(\frac{1}{c+d x}\right)-\log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x)}{d^2 i^2}+\frac{2 b B g \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x)}{d^2 i^2}-\frac{2 b B^2 g \log (c+d x)}{d^2 i^2}+\frac{b B^2 g \log ^2(a+b x)}{d^2 i^2}-\frac{b B^2 g \log (a+b x) \log ^2\left(\frac{1}{c+d x}\right)}{d^2 i^2}+\frac{b B^2 g \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2\left(\frac{1}{c+d x}\right)}{d^2 i^2}+\frac{(b c-a d) g \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{d^2 i^2 (c+d x)}+\frac{2 b B^2 g \log (a+b x)}{d^2 i^2}-\frac{2 b B g \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{d^2 i^2}-\frac{2 B (b c-a d) g \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{d^2 i^2 (c+d x)}+\frac{b B^2 g \log ^2(a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{d^2 i^2}-\frac{2 b B^2 g \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{d^2 i^2}+\frac{2 b B^2 g \log (a+b x) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{d^2 i^2}-\frac{2 b B^2 g \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{d^2 i^2}-\frac{2 b B^2 g \log \left(\frac{1}{c+d x}\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^2 i^2}+\frac{2 b B^2 g \left(\log (a+b x)+\log \left(\frac{1}{c+d x}\right)-\log \left(\frac{e (a+b x)}{c+d x}\right)\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^2 i^2}-\frac{2 b B^2 g \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^2 i^2}-\frac{2 A b B g \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^2 i^2}-\frac{2 b B^2 g \text{PolyLog}\left(3,-\frac{d (a+b x)}{b c-a d}\right)}{d^2 i^2}-\frac{2 b B^2 g \text{PolyLog}\left(3,\frac{b (c+d x)}{b c-a d}\right)}{d^2 i^2}+\frac{2 B^2 (b c-a d) g}{d^2 i^2 (c+d x)}","-\frac{2 b B g \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{d^2 i^2}+\frac{2 b B^2 g \text{PolyLog}\left(3,\frac{d (a+b x)}{b (c+d x)}\right)}{d^2 i^2}-\frac{b g \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{d^2 i^2}-\frac{g (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{d i^2 (c+d x)}+\frac{2 A B g (a+b x)}{d i^2 (c+d x)}+\frac{2 B^2 g (a+b x) \log \left(\frac{e (a+b x)}{c+d x}\right)}{d i^2 (c+d x)}-\frac{2 B^2 g (a+b x)}{d i^2 (c+d x)}",1,"(2*B^2*(b*c - a*d)*g)/(d^2*i^2*(c + d*x)) + (2*b*B^2*g*Log[a + b*x])/(d^2*i^2) + (b*B^2*g*Log[a + b*x]^2)/(d^2*i^2) - (b*B^2*g*Log[a + b*x]*Log[(c + d*x)^(-1)]^2)/(d^2*i^2) + (b*B^2*g*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[(c + d*x)^(-1)]^2)/(d^2*i^2) - (2*B*(b*c - a*d)*g*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(d^2*i^2*(c + d*x)) - (2*b*B*g*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(d^2*i^2) + ((b*c - a*d)*g*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(d^2*i^2*(c + d*x)) - (2*b*B^2*g*Log[c + d*x])/(d^2*i^2) - (b*B^2*g*Log[a + b*x]^2*Log[c + d*x])/(d^2*i^2) - (2*A*b*B*g*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^2*i^2) - (2*b*B^2*g*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^2*i^2) - (2*b*B^2*g*Log[a + b*x]*Log[(c + d*x)^(-1)]*Log[c + d*x])/(d^2*i^2) + (2*b*B^2*g*Log[-((d*(a + b*x))/(b*c - a*d))]*(Log[a + b*x] + Log[(c + d*x)^(-1)] - Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(d^2*i^2) + (2*b*B*g*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(d^2*i^2) + (b*g*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2*Log[c + d*x])/(d^2*i^2) + (A*b*B*g*Log[c + d*x]^2)/(d^2*i^2) + (b*B^2*g*Log[c + d*x]^2)/(d^2*i^2) - (b*B^2*g*Log[a + b*x]*Log[c + d*x]^2)/(d^2*i^2) + (b*B^2*g*Log[(e*(a + b*x))/(c + d*x)]*Log[c + d*x]^2)/(d^2*i^2) + (b*B^2*g*Log[c + d*x]^3)/(3*d^2*i^2) - (2*b*B^2*g*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(d^2*i^2) + (b*B^2*g*Log[a + b*x]^2*Log[(b*(c + d*x))/(b*c - a*d)])/(d^2*i^2) - (2*b*B^2*g*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(d^2*i^2) + (2*b*B^2*g*Log[a + b*x]*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(d^2*i^2) - (2*A*b*B*g*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^2*i^2) - (2*b*B^2*g*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^2*i^2) - (2*b*B^2*g*Log[(c + d*x)^(-1)]*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^2*i^2) + (2*b*B^2*g*(Log[a + b*x] + Log[(c + d*x)^(-1)] - Log[(e*(a + b*x))/(c + d*x)])*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^2*i^2) - (2*b*B^2*g*PolyLog[3, -((d*(a + b*x))/(b*c - a*d))])/(d^2*i^2) - (2*b*B^2*g*PolyLog[3, (b*(c + d*x))/(b*c - a*d)])/(d^2*i^2)","B",72,25,40,0.6250,1,"{2528, 2525, 12, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 44, 6688, 6742, 2500, 2433, 2375, 2317, 2374, 6589, 2440, 2434, 2499, 2396, 2302, 30}"
95,1,472,0,0.7820586,"\int \frac{\left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(c i+d i x)^2} \, dx","Int[(A + B*Log[(e*(a + b*x))/(c + d*x)])^2/(c*i + d*i*x)^2,x]","\frac{2 b B^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{d i^2 (b c-a d)}+\frac{2 b B^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d i^2 (b c-a d)}+\frac{2 b B \log (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{d i^2 (b c-a d)}+\frac{2 B \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{d i^2 (c+d x)}-\frac{2 b B \log (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{d i^2 (b c-a d)}-\frac{\left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{d i^2 (c+d x)}-\frac{b B^2 \log ^2(a+b x)}{d i^2 (b c-a d)}-\frac{b B^2 \log ^2(c+d x)}{d i^2 (b c-a d)}-\frac{2 b B^2 \log (a+b x)}{d i^2 (b c-a d)}+\frac{2 b B^2 \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{d i^2 (b c-a d)}+\frac{2 b B^2 \log (c+d x)}{d i^2 (b c-a d)}+\frac{2 b B^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{d i^2 (b c-a d)}-\frac{2 B^2}{d i^2 (c+d x)}","\frac{(a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{i^2 (c+d x) (b c-a d)}-\frac{2 A B (a+b x)}{i^2 (c+d x) (b c-a d)}-\frac{2 B^2 (a+b x) \log \left(\frac{e (a+b x)}{c+d x}\right)}{i^2 (c+d x) (b c-a d)}+\frac{2 B^2 (a+b x)}{i^2 (c+d x) (b c-a d)}",1,"(-2*B^2)/(d*i^2*(c + d*x)) - (2*b*B^2*Log[a + b*x])/(d*(b*c - a*d)*i^2) - (b*B^2*Log[a + b*x]^2)/(d*(b*c - a*d)*i^2) + (2*B*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(d*i^2*(c + d*x)) + (2*b*B*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(d*(b*c - a*d)*i^2) - (A + B*Log[(e*(a + b*x))/(c + d*x)])^2/(d*i^2*(c + d*x)) + (2*b*B^2*Log[c + d*x])/(d*(b*c - a*d)*i^2) + (2*b*B^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d*(b*c - a*d)*i^2) - (2*b*B*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(d*(b*c - a*d)*i^2) - (b*B^2*Log[c + d*x]^2)/(d*(b*c - a*d)*i^2) + (2*b*B^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(d*(b*c - a*d)*i^2) + (2*b*B^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(d*(b*c - a*d)*i^2) + (2*b*B^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d*(b*c - a*d)*i^2)","C",26,11,32,0.3438,1,"{2525, 12, 2528, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 44}"
96,1,1687,0,6.4707001,"\int \frac{\left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(a g+b g x) (c i+d i x)^2} \, dx","Int[(A + B*Log[(e*(a + b*x))/(c + d*x)])^2/((a*g + b*g*x)*(c*i + d*i*x)^2),x]","-\frac{b B^2 \log ^3(c+d x)}{3 (b c-a d)^2 g i^2}+\frac{b B^2 \log (a+b x) \log ^2(c+d x)}{(b c-a d)^2 g i^2}-\frac{b B^2 \log \left(\frac{e (a+b x)}{c+d x}\right) \log ^2(c+d x)}{(b c-a d)^2 g i^2}+\frac{b B^2 \log ^2(c+d x)}{(b c-a d)^2 g i^2}-\frac{A b B \log ^2(c+d x)}{(b c-a d)^2 g i^2}+\frac{b B^2 \log ^2(a+b x) \log (c+d x)}{(b c-a d)^2 g i^2}-\frac{b \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 \log (c+d x)}{(b c-a d)^2 g i^2}-\frac{2 b B^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{(b c-a d)^2 g i^2}+\frac{2 A b B \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{(b c-a d)^2 g i^2}+\frac{2 b B^2 \log (a+b x) \log \left(\frac{1}{c+d x}\right) \log (c+d x)}{(b c-a d)^2 g i^2}-\frac{2 b B^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \left(\log (a+b x)+\log \left(\frac{1}{c+d x}\right)-\log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x)}{(b c-a d)^2 g i^2}+\frac{2 b B \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x)}{(b c-a d)^2 g i^2}-\frac{2 b B^2 \log (c+d x)}{(b c-a d)^2 g i^2}+\frac{b B^2 \log ^2(a+b x)}{(b c-a d)^2 g i^2}-\frac{A b B \log ^2(a+b x)}{(b c-a d)^2 g i^2}+\frac{b B^2 \log (a+b x) \log ^2\left(\frac{1}{c+d x}\right)}{(b c-a d)^2 g i^2}-\frac{b B^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2\left(\frac{1}{c+d x}\right)}{(b c-a d)^2 g i^2}-\frac{b B^2 \log \left(-\frac{b c-a d}{d (a+b x)}\right) \log ^2\left(\frac{e (a+b x)}{c+d x}\right)}{(b c-a d)^2 g i^2}-\frac{b B^2 \log (a+b x) \log ^2\left(\frac{e (a+b x)}{c+d x}\right)}{(b c-a d)^2 g i^2}+\frac{b \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(b c-a d)^2 g i^2}+\frac{\left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(b c-a d) g i^2 (c+d x)}+\frac{2 b B^2 \log (a+b x)}{(b c-a d)^2 g i^2}-\frac{2 b B \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{(b c-a d)^2 g i^2}-\frac{2 B \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{(b c-a d) g i^2 (c+d x)}-\frac{b B^2 \log ^2(a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^2 g i^2}-\frac{2 b B^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^2 g i^2}+\frac{2 A b B \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^2 g i^2}-\frac{2 b B^2 \log (a+b x) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^2 g i^2}-\frac{2 b B^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^2 g i^2}+\frac{2 A b B \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^2 g i^2}+\frac{2 b B^2 \log \left(\frac{1}{c+d x}\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^2 g i^2}-\frac{2 b B^2 \left(\log (a+b x)+\log \left(\frac{1}{c+d x}\right)-\log \left(\frac{e (a+b x)}{c+d x}\right)\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^2 g i^2}-\frac{2 b B^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^2 g i^2}+\frac{2 A b B \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^2 g i^2}+\frac{2 b B^2 \log \left(\frac{e (a+b x)}{c+d x}\right) \text{PolyLog}\left(2,\frac{b c-a d}{d (a+b x)}+1\right)}{(b c-a d)^2 g i^2}+\frac{2 b B^2 \text{PolyLog}\left(3,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^2 g i^2}+\frac{2 b B^2 \text{PolyLog}\left(3,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^2 g i^2}+\frac{2 b B^2 \text{PolyLog}\left(3,\frac{b c-a d}{d (a+b x)}+1\right)}{(b c-a d)^2 g i^2}+\frac{2 B^2}{(b c-a d) g i^2 (c+d x)}","\frac{b \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^3}{3 B g i^2 (b c-a d)^2}-\frac{d (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{g i^2 (c+d x) (b c-a d)^2}+\frac{2 A B d (a+b x)}{g i^2 (c+d x) (b c-a d)^2}+\frac{2 B^2 d (a+b x) \log \left(\frac{e (a+b x)}{c+d x}\right)}{g i^2 (c+d x) (b c-a d)^2}-\frac{2 B^2 d (a+b x)}{g i^2 (c+d x) (b c-a d)^2}",1,"(2*B^2)/((b*c - a*d)*g*i^2*(c + d*x)) + (2*b*B^2*Log[a + b*x])/((b*c - a*d)^2*g*i^2) - (A*b*B*Log[a + b*x]^2)/((b*c - a*d)^2*g*i^2) + (b*B^2*Log[a + b*x]^2)/((b*c - a*d)^2*g*i^2) + (b*B^2*Log[a + b*x]*Log[(c + d*x)^(-1)]^2)/((b*c - a*d)^2*g*i^2) - (b*B^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[(c + d*x)^(-1)]^2)/((b*c - a*d)^2*g*i^2) - (b*B^2*Log[-((b*c - a*d)/(d*(a + b*x)))]*Log[(e*(a + b*x))/(c + d*x)]^2)/((b*c - a*d)^2*g*i^2) - (b*B^2*Log[a + b*x]*Log[(e*(a + b*x))/(c + d*x)]^2)/((b*c - a*d)^2*g*i^2) - (2*B*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/((b*c - a*d)*g*i^2*(c + d*x)) - (2*b*B*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/((b*c - a*d)^2*g*i^2) + (A + B*Log[(e*(a + b*x))/(c + d*x)])^2/((b*c - a*d)*g*i^2*(c + d*x)) + (b*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/((b*c - a*d)^2*g*i^2) - (2*b*B^2*Log[c + d*x])/((b*c - a*d)^2*g*i^2) + (b*B^2*Log[a + b*x]^2*Log[c + d*x])/((b*c - a*d)^2*g*i^2) + (2*A*b*B*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^2*g*i^2) - (2*b*B^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^2*g*i^2) + (2*b*B^2*Log[a + b*x]*Log[(c + d*x)^(-1)]*Log[c + d*x])/((b*c - a*d)^2*g*i^2) - (2*b*B^2*Log[-((d*(a + b*x))/(b*c - a*d))]*(Log[a + b*x] + Log[(c + d*x)^(-1)] - Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/((b*c - a*d)^2*g*i^2) + (2*b*B*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/((b*c - a*d)^2*g*i^2) - (b*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2*Log[c + d*x])/((b*c - a*d)^2*g*i^2) - (A*b*B*Log[c + d*x]^2)/((b*c - a*d)^2*g*i^2) + (b*B^2*Log[c + d*x]^2)/((b*c - a*d)^2*g*i^2) + (b*B^2*Log[a + b*x]*Log[c + d*x]^2)/((b*c - a*d)^2*g*i^2) - (b*B^2*Log[(e*(a + b*x))/(c + d*x)]*Log[c + d*x]^2)/((b*c - a*d)^2*g*i^2) - (b*B^2*Log[c + d*x]^3)/(3*(b*c - a*d)^2*g*i^2) + (2*A*b*B*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^2*g*i^2) - (2*b*B^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^2*g*i^2) - (b*B^2*Log[a + b*x]^2*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^2*g*i^2) + (2*A*b*B*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^2*g*i^2) - (2*b*B^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^2*g*i^2) - (2*b*B^2*Log[a + b*x]*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^2*g*i^2) + (2*A*b*B*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^2*g*i^2) - (2*b*B^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^2*g*i^2) + (2*b*B^2*Log[(c + d*x)^(-1)]*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^2*g*i^2) - (2*b*B^2*(Log[a + b*x] + Log[(c + d*x)^(-1)] - Log[(e*(a + b*x))/(c + d*x)])*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^2*g*i^2) + (2*b*B^2*Log[(e*(a + b*x))/(c + d*x)]*PolyLog[2, 1 + (b*c - a*d)/(d*(a + b*x))])/((b*c - a*d)^2*g*i^2) + (2*b*B^2*PolyLog[3, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^2*g*i^2) + (2*b*B^2*PolyLog[3, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^2*g*i^2) + (2*b*B^2*PolyLog[3, 1 + (b*c - a*d)/(d*(a + b*x))])/((b*c - a*d)^2*g*i^2)","C",87,31,42,0.7381,1,"{2528, 2524, 12, 2418, 2390, 2301, 2394, 2393, 2391, 6688, 6742, 2411, 2344, 2317, 2507, 2488, 2506, 6610, 2525, 44, 2500, 2433, 2375, 2374, 6589, 2440, 2434, 2499, 2396, 2302, 30}"
97,1,1521,0,7.1761418,"\int \frac{\left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(a g+b g x)^2 (c i+d i x)^2} \, dx","Int[(A + B*Log[(e*(a + b*x))/(c + d*x)])^2/((a*g + b*g*x)^2*(c*i + d*i*x)^2),x]","\frac{2 b B^2 d \log ^3(c+d x)}{3 (b c-a d)^3 g^2 i^2}-\frac{2 b B^2 d \log (a+b x) \log ^2(c+d x)}{(b c-a d)^3 g^2 i^2}+\frac{2 b B^2 d \log \left(\frac{e (a+b x)}{c+d x}\right) \log ^2(c+d x)}{(b c-a d)^3 g^2 i^2}+\frac{2 A b B d \log ^2(c+d x)}{(b c-a d)^3 g^2 i^2}-\frac{2 b B^2 d \log ^2(a+b x) \log (c+d x)}{(b c-a d)^3 g^2 i^2}+\frac{2 b d \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 \log (c+d x)}{(b c-a d)^3 g^2 i^2}-\frac{4 A b B d \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{(b c-a d)^3 g^2 i^2}-\frac{4 b B^2 d \log (a+b x) \log \left(\frac{1}{c+d x}\right) \log (c+d x)}{(b c-a d)^3 g^2 i^2}+\frac{4 b B^2 d \log \left(-\frac{d (a+b x)}{b c-a d}\right) \left(\log (a+b x)+\log \left(\frac{1}{c+d x}\right)-\log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x)}{(b c-a d)^3 g^2 i^2}+\frac{4 b B^2 d \log (c+d x)}{(b c-a d)^3 g^2 i^2}+\frac{2 A b B d \log ^2(a+b x)}{(b c-a d)^3 g^2 i^2}-\frac{2 b B^2 d \log (a+b x) \log ^2\left(\frac{1}{c+d x}\right)}{(b c-a d)^3 g^2 i^2}+\frac{2 b B^2 d \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2\left(\frac{1}{c+d x}\right)}{(b c-a d)^3 g^2 i^2}+\frac{2 b B^2 d \log \left(-\frac{b c-a d}{d (a+b x)}\right) \log ^2\left(\frac{e (a+b x)}{c+d x}\right)}{(b c-a d)^3 g^2 i^2}+\frac{2 b B^2 d \log (a+b x) \log ^2\left(\frac{e (a+b x)}{c+d x}\right)}{(b c-a d)^3 g^2 i^2}-\frac{2 b d \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(b c-a d)^3 g^2 i^2}-\frac{b \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(b c-a d)^2 g^2 i^2 (a+b x)}-\frac{d \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(b c-a d)^2 g^2 i^2 (c+d x)}-\frac{4 b B^2 d \log (a+b x)}{(b c-a d)^3 g^2 i^2}-\frac{2 b B \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{(b c-a d)^2 g^2 i^2 (a+b x)}+\frac{2 B d \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{(b c-a d)^2 g^2 i^2 (c+d x)}+\frac{2 b B^2 d \log ^2(a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^3 g^2 i^2}-\frac{4 A b B d \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^3 g^2 i^2}+\frac{4 b B^2 d \log (a+b x) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^3 g^2 i^2}-\frac{4 A b B d \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^3 g^2 i^2}-\frac{4 b B^2 d \log \left(\frac{1}{c+d x}\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^3 g^2 i^2}+\frac{4 b B^2 d \left(\log (a+b x)+\log \left(\frac{1}{c+d x}\right)-\log \left(\frac{e (a+b x)}{c+d x}\right)\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^3 g^2 i^2}-\frac{4 A b B d \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^3 g^2 i^2}-\frac{4 b B^2 d \log \left(\frac{e (a+b x)}{c+d x}\right) \text{PolyLog}\left(2,\frac{b c-a d}{d (a+b x)}+1\right)}{(b c-a d)^3 g^2 i^2}-\frac{4 b B^2 d \text{PolyLog}\left(3,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^3 g^2 i^2}-\frac{4 b B^2 d \text{PolyLog}\left(3,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^3 g^2 i^2}-\frac{4 b B^2 d \text{PolyLog}\left(3,\frac{b c-a d}{d (a+b x)}+1\right)}{(b c-a d)^3 g^2 i^2}-\frac{2 b B^2}{(b c-a d)^2 g^2 i^2 (a+b x)}-\frac{2 B^2 d}{(b c-a d)^2 g^2 i^2 (c+d x)}","-\frac{b^2 (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{g^2 i^2 (a+b x) (b c-a d)^3}-\frac{2 b^2 B (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^2 i^2 (a+b x) (b c-a d)^3}+\frac{d^2 (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{g^2 i^2 (c+d x) (b c-a d)^3}-\frac{2 A B d^2 (a+b x)}{g^2 i^2 (c+d x) (b c-a d)^3}-\frac{2 b d \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^3}{3 B g^2 i^2 (b c-a d)^3}-\frac{2 b^2 B^2 (c+d x)}{g^2 i^2 (a+b x) (b c-a d)^3}-\frac{2 B^2 d^2 (a+b x) \log \left(\frac{e (a+b x)}{c+d x}\right)}{g^2 i^2 (c+d x) (b c-a d)^3}+\frac{2 B^2 d^2 (a+b x)}{g^2 i^2 (c+d x) (b c-a d)^3}",1,"(-2*b*B^2)/((b*c - a*d)^2*g^2*i^2*(a + b*x)) - (2*B^2*d)/((b*c - a*d)^2*g^2*i^2*(c + d*x)) - (4*b*B^2*d*Log[a + b*x])/((b*c - a*d)^3*g^2*i^2) + (2*A*b*B*d*Log[a + b*x]^2)/((b*c - a*d)^3*g^2*i^2) - (2*b*B^2*d*Log[a + b*x]*Log[(c + d*x)^(-1)]^2)/((b*c - a*d)^3*g^2*i^2) + (2*b*B^2*d*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[(c + d*x)^(-1)]^2)/((b*c - a*d)^3*g^2*i^2) + (2*b*B^2*d*Log[-((b*c - a*d)/(d*(a + b*x)))]*Log[(e*(a + b*x))/(c + d*x)]^2)/((b*c - a*d)^3*g^2*i^2) + (2*b*B^2*d*Log[a + b*x]*Log[(e*(a + b*x))/(c + d*x)]^2)/((b*c - a*d)^3*g^2*i^2) - (2*b*B*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/((b*c - a*d)^2*g^2*i^2*(a + b*x)) + (2*B*d*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/((b*c - a*d)^2*g^2*i^2*(c + d*x)) - (b*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/((b*c - a*d)^2*g^2*i^2*(a + b*x)) - (d*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/((b*c - a*d)^2*g^2*i^2*(c + d*x)) - (2*b*d*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/((b*c - a*d)^3*g^2*i^2) + (4*b*B^2*d*Log[c + d*x])/((b*c - a*d)^3*g^2*i^2) - (2*b*B^2*d*Log[a + b*x]^2*Log[c + d*x])/((b*c - a*d)^3*g^2*i^2) - (4*A*b*B*d*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^3*g^2*i^2) - (4*b*B^2*d*Log[a + b*x]*Log[(c + d*x)^(-1)]*Log[c + d*x])/((b*c - a*d)^3*g^2*i^2) + (4*b*B^2*d*Log[-((d*(a + b*x))/(b*c - a*d))]*(Log[a + b*x] + Log[(c + d*x)^(-1)] - Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/((b*c - a*d)^3*g^2*i^2) + (2*b*d*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2*Log[c + d*x])/((b*c - a*d)^3*g^2*i^2) + (2*A*b*B*d*Log[c + d*x]^2)/((b*c - a*d)^3*g^2*i^2) - (2*b*B^2*d*Log[a + b*x]*Log[c + d*x]^2)/((b*c - a*d)^3*g^2*i^2) + (2*b*B^2*d*Log[(e*(a + b*x))/(c + d*x)]*Log[c + d*x]^2)/((b*c - a*d)^3*g^2*i^2) + (2*b*B^2*d*Log[c + d*x]^3)/(3*(b*c - a*d)^3*g^2*i^2) - (4*A*b*B*d*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g^2*i^2) + (2*b*B^2*d*Log[a + b*x]^2*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g^2*i^2) - (4*A*b*B*d*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^3*g^2*i^2) + (4*b*B^2*d*Log[a + b*x]*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^3*g^2*i^2) - (4*A*b*B*d*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g^2*i^2) - (4*b*B^2*d*Log[(c + d*x)^(-1)]*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g^2*i^2) + (4*b*B^2*d*(Log[a + b*x] + Log[(c + d*x)^(-1)] - Log[(e*(a + b*x))/(c + d*x)])*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g^2*i^2) - (4*b*B^2*d*Log[(e*(a + b*x))/(c + d*x)]*PolyLog[2, 1 + (b*c - a*d)/(d*(a + b*x))])/((b*c - a*d)^3*g^2*i^2) - (4*b*B^2*d*PolyLog[3, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^3*g^2*i^2) - (4*b*B^2*d*PolyLog[3, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g^2*i^2) - (4*b*B^2*d*PolyLog[3, 1 + (b*c - a*d)/(d*(a + b*x))])/((b*c - a*d)^3*g^2*i^2)","C",113,31,42,0.7381,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 6688, 6742, 2411, 2344, 2317, 2507, 2488, 2506, 6610, 2500, 2433, 2375, 2374, 6589, 2440, 2434, 2499, 2396, 2302, 30}"
98,1,2071,0,8.4588477,"\int \frac{\left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(a g+b g x)^3 (c i+d i x)^2} \, dx","Int[(A + B*Log[(e*(a + b*x))/(c + d*x)])^2/((a*g + b*g*x)^3*(c*i + d*i*x)^2),x]","-\frac{b B^2 d^2 \log ^3(c+d x)}{(b c-a d)^4 g^3 i^2}+\frac{3 b B^2 d^2 \log (a+b x) \log ^2(c+d x)}{(b c-a d)^4 g^3 i^2}-\frac{3 b B^2 d^2 \log \left(\frac{e (a+b x)}{c+d x}\right) \log ^2(c+d x)}{(b c-a d)^4 g^3 i^2}-\frac{3 b B^2 d^2 \log ^2(c+d x)}{2 (b c-a d)^4 g^3 i^2}-\frac{3 A b B d^2 \log ^2(c+d x)}{(b c-a d)^4 g^3 i^2}+\frac{3 b B^2 d^2 \log ^2(a+b x) \log (c+d x)}{(b c-a d)^4 g^3 i^2}-\frac{3 b d^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 \log (c+d x)}{(b c-a d)^4 g^3 i^2}+\frac{3 b B^2 d^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{(b c-a d)^4 g^3 i^2}+\frac{6 A b B d^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{(b c-a d)^4 g^3 i^2}+\frac{6 b B^2 d^2 \log (a+b x) \log \left(\frac{1}{c+d x}\right) \log (c+d x)}{(b c-a d)^4 g^3 i^2}-\frac{6 b B^2 d^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \left(\log (a+b x)+\log \left(\frac{1}{c+d x}\right)-\log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x)}{(b c-a d)^4 g^3 i^2}-\frac{3 b B d^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x)}{(b c-a d)^4 g^3 i^2}-\frac{15 b B^2 d^2 \log (c+d x)}{2 (b c-a d)^4 g^3 i^2}-\frac{3 b B^2 d^2 \log ^2(a+b x)}{2 (b c-a d)^4 g^3 i^2}-\frac{3 A b B d^2 \log ^2(a+b x)}{(b c-a d)^4 g^3 i^2}+\frac{3 b B^2 d^2 \log (a+b x) \log ^2\left(\frac{1}{c+d x}\right)}{(b c-a d)^4 g^3 i^2}-\frac{3 b B^2 d^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2\left(\frac{1}{c+d x}\right)}{(b c-a d)^4 g^3 i^2}-\frac{3 b B^2 d^2 \log \left(-\frac{b c-a d}{d (a+b x)}\right) \log ^2\left(\frac{e (a+b x)}{c+d x}\right)}{(b c-a d)^4 g^3 i^2}-\frac{3 b B^2 d^2 \log (a+b x) \log ^2\left(\frac{e (a+b x)}{c+d x}\right)}{(b c-a d)^4 g^3 i^2}+\frac{3 b d^2 \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(b c-a d)^4 g^3 i^2}+\frac{2 b d \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(b c-a d)^3 g^3 i^2 (a+b x)}+\frac{d^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(b c-a d)^3 g^3 i^2 (c+d x)}-\frac{b \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{2 (b c-a d)^2 g^3 i^2 (a+b x)^2}+\frac{15 b B^2 d^2 \log (a+b x)}{2 (b c-a d)^4 g^3 i^2}+\frac{3 b B d^2 \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{(b c-a d)^4 g^3 i^2}+\frac{5 b B d \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{(b c-a d)^3 g^3 i^2 (a+b x)}-\frac{2 B d^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{(b c-a d)^3 g^3 i^2 (c+d x)}-\frac{b B \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{2 (b c-a d)^2 g^3 i^2 (a+b x)^2}-\frac{3 b B^2 d^2 \log ^2(a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^4 g^3 i^2}+\frac{3 b B^2 d^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^4 g^3 i^2}+\frac{6 A b B d^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^4 g^3 i^2}-\frac{6 b B^2 d^2 \log (a+b x) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^4 g^3 i^2}+\frac{3 b B^2 d^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^4 g^3 i^2}+\frac{6 A b B d^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^4 g^3 i^2}+\frac{6 b B^2 d^2 \log \left(\frac{1}{c+d x}\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^4 g^3 i^2}-\frac{6 b B^2 d^2 \left(\log (a+b x)+\log \left(\frac{1}{c+d x}\right)-\log \left(\frac{e (a+b x)}{c+d x}\right)\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^4 g^3 i^2}+\frac{3 b B^2 d^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^4 g^3 i^2}+\frac{6 A b B d^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^4 g^3 i^2}+\frac{6 b B^2 d^2 \log \left(\frac{e (a+b x)}{c+d x}\right) \text{PolyLog}\left(2,\frac{b c-a d}{d (a+b x)}+1\right)}{(b c-a d)^4 g^3 i^2}+\frac{6 b B^2 d^2 \text{PolyLog}\left(3,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^4 g^3 i^2}+\frac{6 b B^2 d^2 \text{PolyLog}\left(3,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^4 g^3 i^2}+\frac{6 b B^2 d^2 \text{PolyLog}\left(3,\frac{b c-a d}{d (a+b x)}+1\right)}{(b c-a d)^4 g^3 i^2}+\frac{11 b B^2 d}{2 (b c-a d)^3 g^3 i^2 (a+b x)}+\frac{2 B^2 d^2}{(b c-a d)^3 g^3 i^2 (c+d x)}-\frac{b B^2}{4 (b c-a d)^2 g^3 i^2 (a+b x)^2}","-\frac{b^3 (c+d x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{2 g^3 i^2 (a+b x)^2 (b c-a d)^4}-\frac{b^3 B (c+d x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 g^3 i^2 (a+b x)^2 (b c-a d)^4}+\frac{3 b^2 d (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{g^3 i^2 (a+b x) (b c-a d)^4}+\frac{6 b^2 B d (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^3 i^2 (a+b x) (b c-a d)^4}+\frac{b d^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^3}{B g^3 i^2 (b c-a d)^4}-\frac{d^3 (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{g^3 i^2 (c+d x) (b c-a d)^4}+\frac{2 A B d^3 (a+b x)}{g^3 i^2 (c+d x) (b c-a d)^4}-\frac{b^3 B^2 (c+d x)^2}{4 g^3 i^2 (a+b x)^2 (b c-a d)^4}+\frac{6 b^2 B^2 d (c+d x)}{g^3 i^2 (a+b x) (b c-a d)^4}+\frac{2 B^2 d^3 (a+b x) \log \left(\frac{e (a+b x)}{c+d x}\right)}{g^3 i^2 (c+d x) (b c-a d)^4}-\frac{2 B^2 d^3 (a+b x)}{g^3 i^2 (c+d x) (b c-a d)^4}",1,"-(b*B^2)/(4*(b*c - a*d)^2*g^3*i^2*(a + b*x)^2) + (11*b*B^2*d)/(2*(b*c - a*d)^3*g^3*i^2*(a + b*x)) + (2*B^2*d^2)/((b*c - a*d)^3*g^3*i^2*(c + d*x)) + (15*b*B^2*d^2*Log[a + b*x])/(2*(b*c - a*d)^4*g^3*i^2) - (3*A*b*B*d^2*Log[a + b*x]^2)/((b*c - a*d)^4*g^3*i^2) - (3*b*B^2*d^2*Log[a + b*x]^2)/(2*(b*c - a*d)^4*g^3*i^2) + (3*b*B^2*d^2*Log[a + b*x]*Log[(c + d*x)^(-1)]^2)/((b*c - a*d)^4*g^3*i^2) - (3*b*B^2*d^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[(c + d*x)^(-1)]^2)/((b*c - a*d)^4*g^3*i^2) - (3*b*B^2*d^2*Log[-((b*c - a*d)/(d*(a + b*x)))]*Log[(e*(a + b*x))/(c + d*x)]^2)/((b*c - a*d)^4*g^3*i^2) - (3*b*B^2*d^2*Log[a + b*x]*Log[(e*(a + b*x))/(c + d*x)]^2)/((b*c - a*d)^4*g^3*i^2) - (b*B*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(2*(b*c - a*d)^2*g^3*i^2*(a + b*x)^2) + (5*b*B*d*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/((b*c - a*d)^3*g^3*i^2*(a + b*x)) - (2*B*d^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/((b*c - a*d)^3*g^3*i^2*(c + d*x)) + (3*b*B*d^2*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/((b*c - a*d)^4*g^3*i^2) - (b*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(2*(b*c - a*d)^2*g^3*i^2*(a + b*x)^2) + (2*b*d*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/((b*c - a*d)^3*g^3*i^2*(a + b*x)) + (d^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/((b*c - a*d)^3*g^3*i^2*(c + d*x)) + (3*b*d^2*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/((b*c - a*d)^4*g^3*i^2) - (15*b*B^2*d^2*Log[c + d*x])/(2*(b*c - a*d)^4*g^3*i^2) + (3*b*B^2*d^2*Log[a + b*x]^2*Log[c + d*x])/((b*c - a*d)^4*g^3*i^2) + (6*A*b*B*d^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^4*g^3*i^2) + (3*b*B^2*d^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^4*g^3*i^2) + (6*b*B^2*d^2*Log[a + b*x]*Log[(c + d*x)^(-1)]*Log[c + d*x])/((b*c - a*d)^4*g^3*i^2) - (6*b*B^2*d^2*Log[-((d*(a + b*x))/(b*c - a*d))]*(Log[a + b*x] + Log[(c + d*x)^(-1)] - Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/((b*c - a*d)^4*g^3*i^2) - (3*b*B*d^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/((b*c - a*d)^4*g^3*i^2) - (3*b*d^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2*Log[c + d*x])/((b*c - a*d)^4*g^3*i^2) - (3*A*b*B*d^2*Log[c + d*x]^2)/((b*c - a*d)^4*g^3*i^2) - (3*b*B^2*d^2*Log[c + d*x]^2)/(2*(b*c - a*d)^4*g^3*i^2) + (3*b*B^2*d^2*Log[a + b*x]*Log[c + d*x]^2)/((b*c - a*d)^4*g^3*i^2) - (3*b*B^2*d^2*Log[(e*(a + b*x))/(c + d*x)]*Log[c + d*x]^2)/((b*c - a*d)^4*g^3*i^2) - (b*B^2*d^2*Log[c + d*x]^3)/((b*c - a*d)^4*g^3*i^2) + (6*A*b*B*d^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^3*i^2) + (3*b*B^2*d^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^3*i^2) - (3*b*B^2*d^2*Log[a + b*x]^2*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^3*i^2) + (6*A*b*B*d^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^4*g^3*i^2) + (3*b*B^2*d^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^4*g^3*i^2) - (6*b*B^2*d^2*Log[a + b*x]*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^4*g^3*i^2) + (6*A*b*B*d^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^3*i^2) + (3*b*B^2*d^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^3*i^2) + (6*b*B^2*d^2*Log[(c + d*x)^(-1)]*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^3*i^2) - (6*b*B^2*d^2*(Log[a + b*x] + Log[(c + d*x)^(-1)] - Log[(e*(a + b*x))/(c + d*x)])*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^3*i^2) + (6*b*B^2*d^2*Log[(e*(a + b*x))/(c + d*x)]*PolyLog[2, 1 + (b*c - a*d)/(d*(a + b*x))])/((b*c - a*d)^4*g^3*i^2) + (6*b*B^2*d^2*PolyLog[3, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^4*g^3*i^2) + (6*b*B^2*d^2*PolyLog[3, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^3*i^2) + (6*b*B^2*d^2*PolyLog[3, 1 + (b*c - a*d)/(d*(a + b*x))])/((b*c - a*d)^4*g^3*i^2)","C",143,31,42,0.7381,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 6688, 6742, 2411, 2344, 2317, 2507, 2488, 2506, 6610, 2500, 2433, 2375, 2374, 6589, 2440, 2434, 2499, 2396, 2302, 30}"
99,1,2222,0,9.478531,"\int \frac{\left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(a g+b g x)^4 (c i+d i x)^2} \, dx","Int[(A + B*Log[(e*(a + b*x))/(c + d*x)])^2/((a*g + b*g*x)^4*(c*i + d*i*x)^2),x]","\frac{4 b B^2 \log ^3(c+d x) d^3}{3 (b c-a d)^5 g^4 i^2}+\frac{10 b B^2 \log ^2(a+b x) d^3}{3 (b c-a d)^5 g^4 i^2}+\frac{4 A b B \log ^2(a+b x) d^3}{(b c-a d)^5 g^4 i^2}-\frac{4 b B^2 \log (a+b x) \log ^2\left(\frac{1}{c+d x}\right) d^3}{(b c-a d)^5 g^4 i^2}+\frac{4 b B^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2\left(\frac{1}{c+d x}\right) d^3}{(b c-a d)^5 g^4 i^2}+\frac{4 b B^2 \log \left(-\frac{b c-a d}{d (a+b x)}\right) \log ^2\left(\frac{e (a+b x)}{c+d x}\right) d^3}{(b c-a d)^5 g^4 i^2}+\frac{4 b B^2 \log (a+b x) \log ^2\left(\frac{e (a+b x)}{c+d x}\right) d^3}{(b c-a d)^5 g^4 i^2}-\frac{4 b \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 d^3}{(b c-a d)^5 g^4 i^2}-\frac{\left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 d^3}{(b c-a d)^4 g^4 i^2 (c+d x)}-\frac{4 b B^2 \log (a+b x) \log ^2(c+d x) d^3}{(b c-a d)^5 g^4 i^2}+\frac{4 b B^2 \log \left(\frac{e (a+b x)}{c+d x}\right) \log ^2(c+d x) d^3}{(b c-a d)^5 g^4 i^2}+\frac{10 b B^2 \log ^2(c+d x) d^3}{3 (b c-a d)^5 g^4 i^2}+\frac{4 A b B \log ^2(c+d x) d^3}{(b c-a d)^5 g^4 i^2}-\frac{110 b B^2 \log (a+b x) d^3}{9 (b c-a d)^5 g^4 i^2}-\frac{20 b B \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) d^3}{3 (b c-a d)^5 g^4 i^2}+\frac{2 B \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) d^3}{(b c-a d)^4 g^4 i^2 (c+d x)}-\frac{4 b B^2 \log ^2(a+b x) \log (c+d x) d^3}{(b c-a d)^5 g^4 i^2}+\frac{4 b \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 \log (c+d x) d^3}{(b c-a d)^5 g^4 i^2}-\frac{20 b B^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) d^3}{3 (b c-a d)^5 g^4 i^2}-\frac{8 A b B \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) d^3}{(b c-a d)^5 g^4 i^2}-\frac{8 b B^2 \log (a+b x) \log \left(\frac{1}{c+d x}\right) \log (c+d x) d^3}{(b c-a d)^5 g^4 i^2}+\frac{8 b B^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \left(\log (a+b x)+\log \left(\frac{1}{c+d x}\right)-\log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x) d^3}{(b c-a d)^5 g^4 i^2}+\frac{20 b B \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x) d^3}{3 (b c-a d)^5 g^4 i^2}+\frac{110 b B^2 \log (c+d x) d^3}{9 (b c-a d)^5 g^4 i^2}+\frac{4 b B^2 \log ^2(a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) d^3}{(b c-a d)^5 g^4 i^2}-\frac{20 b B^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) d^3}{3 (b c-a d)^5 g^4 i^2}-\frac{8 A b B \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) d^3}{(b c-a d)^5 g^4 i^2}+\frac{8 b B^2 \log (a+b x) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) d^3}{(b c-a d)^5 g^4 i^2}-\frac{20 b B^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) d^3}{3 (b c-a d)^5 g^4 i^2}-\frac{8 A b B \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) d^3}{(b c-a d)^5 g^4 i^2}-\frac{8 b B^2 \log \left(\frac{1}{c+d x}\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) d^3}{(b c-a d)^5 g^4 i^2}+\frac{8 b B^2 \left(\log (a+b x)+\log \left(\frac{1}{c+d x}\right)-\log \left(\frac{e (a+b x)}{c+d x}\right)\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) d^3}{(b c-a d)^5 g^4 i^2}-\frac{20 b B^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) d^3}{3 (b c-a d)^5 g^4 i^2}-\frac{8 A b B \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) d^3}{(b c-a d)^5 g^4 i^2}-\frac{8 b B^2 \log \left(\frac{e (a+b x)}{c+d x}\right) \text{PolyLog}\left(2,\frac{b c-a d}{d (a+b x)}+1\right) d^3}{(b c-a d)^5 g^4 i^2}-\frac{8 b B^2 \text{PolyLog}\left(3,-\frac{d (a+b x)}{b c-a d}\right) d^3}{(b c-a d)^5 g^4 i^2}-\frac{8 b B^2 \text{PolyLog}\left(3,\frac{b (c+d x)}{b c-a d}\right) d^3}{(b c-a d)^5 g^4 i^2}-\frac{8 b B^2 \text{PolyLog}\left(3,\frac{b c-a d}{d (a+b x)}+1\right) d^3}{(b c-a d)^5 g^4 i^2}-\frac{2 B^2 d^3}{(b c-a d)^4 g^4 i^2 (c+d x)}-\frac{3 b \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 d^2}{(b c-a d)^4 g^4 i^2 (a+b x)}-\frac{26 b B \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) d^2}{3 (b c-a d)^4 g^4 i^2 (a+b x)}-\frac{92 b B^2 d^2}{9 (b c-a d)^4 g^4 i^2 (a+b x)}+\frac{b \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 d}{(b c-a d)^3 g^4 i^2 (a+b x)^2}+\frac{4 b B \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) d}{3 (b c-a d)^3 g^4 i^2 (a+b x)^2}+\frac{7 b B^2 d}{9 (b c-a d)^3 g^4 i^2 (a+b x)^2}-\frac{b \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{3 (b c-a d)^2 g^4 i^2 (a+b x)^3}-\frac{2 b B \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{9 (b c-a d)^2 g^4 i^2 (a+b x)^3}-\frac{2 b B^2}{27 (b c-a d)^2 g^4 i^2 (a+b x)^3}","-\frac{6 b^2 d^2 (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{g^4 i^2 (a+b x) (b c-a d)^5}-\frac{12 b^2 B d^2 (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^4 i^2 (a+b x) (b c-a d)^5}-\frac{b^4 (c+d x)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{3 g^4 i^2 (a+b x)^3 (b c-a d)^5}-\frac{2 b^4 B (c+d x)^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{9 g^4 i^2 (a+b x)^3 (b c-a d)^5}+\frac{2 b^3 d (c+d x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{g^4 i^2 (a+b x)^2 (b c-a d)^5}+\frac{2 b^3 B d (c+d x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^4 i^2 (a+b x)^2 (b c-a d)^5}-\frac{4 b d^3 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^3}{3 B g^4 i^2 (b c-a d)^5}+\frac{d^4 (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{g^4 i^2 (c+d x) (b c-a d)^5}-\frac{2 A B d^4 (a+b x)}{g^4 i^2 (c+d x) (b c-a d)^5}-\frac{12 b^2 B^2 d^2 (c+d x)}{g^4 i^2 (a+b x) (b c-a d)^5}-\frac{2 b^4 B^2 (c+d x)^3}{27 g^4 i^2 (a+b x)^3 (b c-a d)^5}+\frac{b^3 B^2 d (c+d x)^2}{g^4 i^2 (a+b x)^2 (b c-a d)^5}-\frac{2 B^2 d^4 (a+b x) \log \left(\frac{e (a+b x)}{c+d x}\right)}{g^4 i^2 (c+d x) (b c-a d)^5}+\frac{2 B^2 d^4 (a+b x)}{g^4 i^2 (c+d x) (b c-a d)^5}",1,"(-2*b*B^2)/(27*(b*c - a*d)^2*g^4*i^2*(a + b*x)^3) + (7*b*B^2*d)/(9*(b*c - a*d)^3*g^4*i^2*(a + b*x)^2) - (92*b*B^2*d^2)/(9*(b*c - a*d)^4*g^4*i^2*(a + b*x)) - (2*B^2*d^3)/((b*c - a*d)^4*g^4*i^2*(c + d*x)) - (110*b*B^2*d^3*Log[a + b*x])/(9*(b*c - a*d)^5*g^4*i^2) + (4*A*b*B*d^3*Log[a + b*x]^2)/((b*c - a*d)^5*g^4*i^2) + (10*b*B^2*d^3*Log[a + b*x]^2)/(3*(b*c - a*d)^5*g^4*i^2) - (4*b*B^2*d^3*Log[a + b*x]*Log[(c + d*x)^(-1)]^2)/((b*c - a*d)^5*g^4*i^2) + (4*b*B^2*d^3*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[(c + d*x)^(-1)]^2)/((b*c - a*d)^5*g^4*i^2) + (4*b*B^2*d^3*Log[-((b*c - a*d)/(d*(a + b*x)))]*Log[(e*(a + b*x))/(c + d*x)]^2)/((b*c - a*d)^5*g^4*i^2) + (4*b*B^2*d^3*Log[a + b*x]*Log[(e*(a + b*x))/(c + d*x)]^2)/((b*c - a*d)^5*g^4*i^2) - (2*b*B*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(9*(b*c - a*d)^2*g^4*i^2*(a + b*x)^3) + (4*b*B*d*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(3*(b*c - a*d)^3*g^4*i^2*(a + b*x)^2) - (26*b*B*d^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(3*(b*c - a*d)^4*g^4*i^2*(a + b*x)) + (2*B*d^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/((b*c - a*d)^4*g^4*i^2*(c + d*x)) - (20*b*B*d^3*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(3*(b*c - a*d)^5*g^4*i^2) - (b*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(3*(b*c - a*d)^2*g^4*i^2*(a + b*x)^3) + (b*d*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/((b*c - a*d)^3*g^4*i^2*(a + b*x)^2) - (3*b*d^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/((b*c - a*d)^4*g^4*i^2*(a + b*x)) - (d^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/((b*c - a*d)^4*g^4*i^2*(c + d*x)) - (4*b*d^3*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/((b*c - a*d)^5*g^4*i^2) + (110*b*B^2*d^3*Log[c + d*x])/(9*(b*c - a*d)^5*g^4*i^2) - (4*b*B^2*d^3*Log[a + b*x]^2*Log[c + d*x])/((b*c - a*d)^5*g^4*i^2) - (8*A*b*B*d^3*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^5*g^4*i^2) - (20*b*B^2*d^3*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(3*(b*c - a*d)^5*g^4*i^2) - (8*b*B^2*d^3*Log[a + b*x]*Log[(c + d*x)^(-1)]*Log[c + d*x])/((b*c - a*d)^5*g^4*i^2) + (8*b*B^2*d^3*Log[-((d*(a + b*x))/(b*c - a*d))]*(Log[a + b*x] + Log[(c + d*x)^(-1)] - Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/((b*c - a*d)^5*g^4*i^2) + (20*b*B*d^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(3*(b*c - a*d)^5*g^4*i^2) + (4*b*d^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2*Log[c + d*x])/((b*c - a*d)^5*g^4*i^2) + (4*A*b*B*d^3*Log[c + d*x]^2)/((b*c - a*d)^5*g^4*i^2) + (10*b*B^2*d^3*Log[c + d*x]^2)/(3*(b*c - a*d)^5*g^4*i^2) - (4*b*B^2*d^3*Log[a + b*x]*Log[c + d*x]^2)/((b*c - a*d)^5*g^4*i^2) + (4*b*B^2*d^3*Log[(e*(a + b*x))/(c + d*x)]*Log[c + d*x]^2)/((b*c - a*d)^5*g^4*i^2) + (4*b*B^2*d^3*Log[c + d*x]^3)/(3*(b*c - a*d)^5*g^4*i^2) - (8*A*b*B*d^3*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^5*g^4*i^2) - (20*b*B^2*d^3*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(3*(b*c - a*d)^5*g^4*i^2) + (4*b*B^2*d^3*Log[a + b*x]^2*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^5*g^4*i^2) - (8*A*b*B*d^3*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^5*g^4*i^2) - (20*b*B^2*d^3*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(3*(b*c - a*d)^5*g^4*i^2) + (8*b*B^2*d^3*Log[a + b*x]*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^5*g^4*i^2) - (8*A*b*B*d^3*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^5*g^4*i^2) - (20*b*B^2*d^3*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(3*(b*c - a*d)^5*g^4*i^2) - (8*b*B^2*d^3*Log[(c + d*x)^(-1)]*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^5*g^4*i^2) + (8*b*B^2*d^3*(Log[a + b*x] + Log[(c + d*x)^(-1)] - Log[(e*(a + b*x))/(c + d*x)])*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^5*g^4*i^2) - (8*b*B^2*d^3*Log[(e*(a + b*x))/(c + d*x)]*PolyLog[2, 1 + (b*c - a*d)/(d*(a + b*x))])/((b*c - a*d)^5*g^4*i^2) - (8*b*B^2*d^3*PolyLog[3, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^5*g^4*i^2) - (8*b*B^2*d^3*PolyLog[3, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^5*g^4*i^2) - (8*b*B^2*d^3*PolyLog[3, 1 + (b*c - a*d)/(d*(a + b*x))])/((b*c - a*d)^5*g^4*i^2)","C",177,31,42,0.7381,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 6688, 6742, 2411, 2344, 2317, 2507, 2488, 2506, 6610, 2500, 2433, 2375, 2374, 6589, 2440, 2434, 2499, 2396, 2302, 30}"
100,1,1890,0,6.2414391,"\int \frac{(a g+b g x)^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(c i+d i x)^3} \, dx","Int[((a*g + b*g*x)^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(c*i + d*i*x)^3,x]","-\frac{b^2 B^2 (b c-a d) \log ^3(c+d x) g^3}{d^4 i^3}-\frac{5 b^2 B^2 (b c-a d) \log ^2(a+b x) g^3}{2 d^4 i^3}-\frac{a b^2 B^2 \log ^2(a+b x) g^3}{d^3 i^3}+\frac{3 b^2 B^2 (b c-a d) \log (a+b x) \log ^2\left(\frac{1}{c+d x}\right) g^3}{d^4 i^3}-\frac{3 b^2 B^2 (b c-a d) \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2\left(\frac{1}{c+d x}\right) g^3}{d^4 i^3}+\frac{b^3 x \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 g^3}{d^3 i^3}-\frac{3 b (b c-a d)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 g^3}{d^4 i^3 (c+d x)}+\frac{(b c-a d)^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 g^3}{2 d^4 i^3 (c+d x)^2}+\frac{3 b^2 B^2 (b c-a d) \log (a+b x) \log ^2(c+d x) g^3}{d^4 i^3}-\frac{3 b^2 B^2 (b c-a d) \log \left(\frac{e (a+b x)}{c+d x}\right) \log ^2(c+d x) g^3}{d^4 i^3}-\frac{5 b^2 B^2 (b c-a d) \log ^2(c+d x) g^3}{2 d^4 i^3}-\frac{3 A b^2 B (b c-a d) \log ^2(c+d x) g^3}{d^4 i^3}-\frac{b^3 B^2 c \log ^2(c+d x) g^3}{d^4 i^3}-\frac{9 b^2 B^2 (b c-a d) \log (a+b x) g^3}{2 d^4 i^3}+\frac{5 b^2 B (b c-a d) \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) g^3}{d^4 i^3}+\frac{2 a b^2 B \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) g^3}{d^3 i^3}+\frac{5 b B (b c-a d)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) g^3}{d^4 i^3 (c+d x)}-\frac{B (b c-a d)^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) g^3}{2 d^4 i^3 (c+d x)^2}+\frac{3 b^2 B^2 (b c-a d) \log ^2(a+b x) \log (c+d x) g^3}{d^4 i^3}-\frac{3 b^2 (b c-a d) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 \log (c+d x) g^3}{d^4 i^3}+\frac{5 b^2 B^2 (b c-a d) \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) g^3}{d^4 i^3}+\frac{6 A b^2 B (b c-a d) \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) g^3}{d^4 i^3}+\frac{2 b^3 B^2 c \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) g^3}{d^4 i^3}+\frac{6 b^2 B^2 (b c-a d) \log (a+b x) \log \left(\frac{1}{c+d x}\right) \log (c+d x) g^3}{d^4 i^3}-\frac{6 b^2 B^2 (b c-a d) \log \left(-\frac{d (a+b x)}{b c-a d}\right) \left(\log (a+b x)+\log \left(\frac{1}{c+d x}\right)-\log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x) g^3}{d^4 i^3}-\frac{5 b^2 B (b c-a d) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x) g^3}{d^4 i^3}-\frac{2 b^3 B c \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x) g^3}{d^4 i^3}+\frac{9 b^2 B^2 (b c-a d) \log (c+d x) g^3}{2 d^4 i^3}-\frac{3 b^2 B^2 (b c-a d) \log ^2(a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) g^3}{d^4 i^3}+\frac{5 b^2 B^2 (b c-a d) \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) g^3}{d^4 i^3}+\frac{2 a b^2 B^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) g^3}{d^3 i^3}-\frac{6 b^2 B^2 (b c-a d) \log (a+b x) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) g^3}{d^4 i^3}+\frac{5 b^2 B^2 (b c-a d) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) g^3}{d^4 i^3}+\frac{2 a b^2 B^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) g^3}{d^3 i^3}+\frac{6 b^2 B^2 (b c-a d) \log \left(\frac{1}{c+d x}\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) g^3}{d^4 i^3}-\frac{6 b^2 B^2 (b c-a d) \left(\log (a+b x)+\log \left(\frac{1}{c+d x}\right)-\log \left(\frac{e (a+b x)}{c+d x}\right)\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) g^3}{d^4 i^3}+\frac{5 b^2 B^2 (b c-a d) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) g^3}{d^4 i^3}+\frac{6 A b^2 B (b c-a d) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) g^3}{d^4 i^3}+\frac{2 b^3 B^2 c \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) g^3}{d^4 i^3}+\frac{6 b^2 B^2 (b c-a d) \text{PolyLog}\left(3,-\frac{d (a+b x)}{b c-a d}\right) g^3}{d^4 i^3}+\frac{6 b^2 B^2 (b c-a d) \text{PolyLog}\left(3,\frac{b (c+d x)}{b c-a d}\right) g^3}{d^4 i^3}-\frac{9 b B^2 (b c-a d)^2 g^3}{2 d^4 i^3 (c+d x)}+\frac{B^2 (b c-a d)^3 g^3}{4 d^4 i^3 (c+d x)^2}","\frac{6 b^2 B g^3 (b c-a d) \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{d^4 i^3}+\frac{2 b^2 B^2 g^3 (b c-a d) \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{d^4 i^3}-\frac{6 b^2 B^2 g^3 (b c-a d) \text{PolyLog}\left(3,\frac{d (a+b x)}{b (c+d x)}\right)}{d^4 i^3}+\frac{b^2 g^3 (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{d^3 i^3}+\frac{3 b^2 g^3 (b c-a d) \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{d^4 i^3}+\frac{2 b^2 B g^3 (b c-a d) \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{d^4 i^3}+\frac{2 b g^3 (a+b x) (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{d^3 i^3 (c+d x)}+\frac{g^3 (a+b x)^2 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{2 d^2 i^3 (c+d x)^2}-\frac{B g^3 (a+b x)^2 (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 d^2 i^3 (c+d x)^2}-\frac{4 A b B g^3 (a+b x) (b c-a d)}{d^3 i^3 (c+d x)}-\frac{4 b B^2 g^3 (a+b x) (b c-a d) \log \left(\frac{e (a+b x)}{c+d x}\right)}{d^3 i^3 (c+d x)}+\frac{4 b B^2 g^3 (a+b x) (b c-a d)}{d^3 i^3 (c+d x)}+\frac{B^2 g^3 (a+b x)^2 (b c-a d)}{4 d^2 i^3 (c+d x)^2}",1,"(B^2*(b*c - a*d)^3*g^3)/(4*d^4*i^3*(c + d*x)^2) - (9*b*B^2*(b*c - a*d)^2*g^3)/(2*d^4*i^3*(c + d*x)) - (9*b^2*B^2*(b*c - a*d)*g^3*Log[a + b*x])/(2*d^4*i^3) - (a*b^2*B^2*g^3*Log[a + b*x]^2)/(d^3*i^3) - (5*b^2*B^2*(b*c - a*d)*g^3*Log[a + b*x]^2)/(2*d^4*i^3) + (3*b^2*B^2*(b*c - a*d)*g^3*Log[a + b*x]*Log[(c + d*x)^(-1)]^2)/(d^4*i^3) - (3*b^2*B^2*(b*c - a*d)*g^3*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[(c + d*x)^(-1)]^2)/(d^4*i^3) - (B*(b*c - a*d)^3*g^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(2*d^4*i^3*(c + d*x)^2) + (5*b*B*(b*c - a*d)^2*g^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(d^4*i^3*(c + d*x)) + (2*a*b^2*B*g^3*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(d^3*i^3) + (5*b^2*B*(b*c - a*d)*g^3*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(d^4*i^3) + (b^3*g^3*x*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(d^3*i^3) + ((b*c - a*d)^3*g^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(2*d^4*i^3*(c + d*x)^2) - (3*b*(b*c - a*d)^2*g^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(d^4*i^3*(c + d*x)) + (9*b^2*B^2*(b*c - a*d)*g^3*Log[c + d*x])/(2*d^4*i^3) + (3*b^2*B^2*(b*c - a*d)*g^3*Log[a + b*x]^2*Log[c + d*x])/(d^4*i^3) + (2*b^3*B^2*c*g^3*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^4*i^3) + (6*A*b^2*B*(b*c - a*d)*g^3*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^4*i^3) + (5*b^2*B^2*(b*c - a*d)*g^3*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^4*i^3) + (6*b^2*B^2*(b*c - a*d)*g^3*Log[a + b*x]*Log[(c + d*x)^(-1)]*Log[c + d*x])/(d^4*i^3) - (6*b^2*B^2*(b*c - a*d)*g^3*Log[-((d*(a + b*x))/(b*c - a*d))]*(Log[a + b*x] + Log[(c + d*x)^(-1)] - Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(d^4*i^3) - (2*b^3*B*c*g^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(d^4*i^3) - (5*b^2*B*(b*c - a*d)*g^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(d^4*i^3) - (3*b^2*(b*c - a*d)*g^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2*Log[c + d*x])/(d^4*i^3) - (b^3*B^2*c*g^3*Log[c + d*x]^2)/(d^4*i^3) - (3*A*b^2*B*(b*c - a*d)*g^3*Log[c + d*x]^2)/(d^4*i^3) - (5*b^2*B^2*(b*c - a*d)*g^3*Log[c + d*x]^2)/(2*d^4*i^3) + (3*b^2*B^2*(b*c - a*d)*g^3*Log[a + b*x]*Log[c + d*x]^2)/(d^4*i^3) - (3*b^2*B^2*(b*c - a*d)*g^3*Log[(e*(a + b*x))/(c + d*x)]*Log[c + d*x]^2)/(d^4*i^3) - (b^2*B^2*(b*c - a*d)*g^3*Log[c + d*x]^3)/(d^4*i^3) + (2*a*b^2*B^2*g^3*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(d^3*i^3) + (5*b^2*B^2*(b*c - a*d)*g^3*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(d^4*i^3) - (3*b^2*B^2*(b*c - a*d)*g^3*Log[a + b*x]^2*Log[(b*(c + d*x))/(b*c - a*d)])/(d^4*i^3) + (2*a*b^2*B^2*g^3*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(d^3*i^3) + (5*b^2*B^2*(b*c - a*d)*g^3*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(d^4*i^3) - (6*b^2*B^2*(b*c - a*d)*g^3*Log[a + b*x]*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(d^4*i^3) + (2*b^3*B^2*c*g^3*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^4*i^3) + (6*A*b^2*B*(b*c - a*d)*g^3*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^4*i^3) + (5*b^2*B^2*(b*c - a*d)*g^3*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^4*i^3) + (6*b^2*B^2*(b*c - a*d)*g^3*Log[(c + d*x)^(-1)]*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^4*i^3) - (6*b^2*B^2*(b*c - a*d)*g^3*(Log[a + b*x] + Log[(c + d*x)^(-1)] - Log[(e*(a + b*x))/(c + d*x)])*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^4*i^3) + (6*b^2*B^2*(b*c - a*d)*g^3*PolyLog[3, -((d*(a + b*x))/(b*c - a*d))])/(d^4*i^3) + (6*b^2*B^2*(b*c - a*d)*g^3*PolyLog[3, (b*(c + d*x))/(b*c - a*d)])/(d^4*i^3)","B",124,26,42,0.6190,1,"{2528, 2523, 12, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 2525, 44, 6688, 6742, 2500, 2433, 2375, 2317, 2374, 6589, 2440, 2434, 2499, 2396, 2302, 30}"
101,1,1328,0,5.2659481,"\int \frac{(a g+b g x)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(c i+d i x)^3} \, dx","Int[((a*g + b*g*x)^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(c*i + d*i*x)^3,x]","\frac{b^2 B^2 g^2 \log ^3(c+d x)}{3 d^3 i^3}-\frac{b^2 B^2 g^2 \log (a+b x) \log ^2(c+d x)}{d^3 i^3}+\frac{b^2 B^2 g^2 \log \left(\frac{e (a+b x)}{c+d x}\right) \log ^2(c+d x)}{d^3 i^3}+\frac{3 b^2 B^2 g^2 \log ^2(c+d x)}{2 d^3 i^3}+\frac{A b^2 B g^2 \log ^2(c+d x)}{d^3 i^3}-\frac{b^2 B^2 g^2 \log ^2(a+b x) \log (c+d x)}{d^3 i^3}+\frac{b^2 g^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 \log (c+d x)}{d^3 i^3}-\frac{3 b^2 B^2 g^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{d^3 i^3}-\frac{2 A b^2 B g^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{d^3 i^3}-\frac{2 b^2 B^2 g^2 \log (a+b x) \log \left(\frac{1}{c+d x}\right) \log (c+d x)}{d^3 i^3}+\frac{2 b^2 B^2 g^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \left(\log (a+b x)+\log \left(\frac{1}{c+d x}\right)-\log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x)}{d^3 i^3}+\frac{3 b^2 B g^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x)}{d^3 i^3}-\frac{5 b^2 B^2 g^2 \log (c+d x)}{2 d^3 i^3}+\frac{3 b^2 B^2 g^2 \log ^2(a+b x)}{2 d^3 i^3}-\frac{b^2 B^2 g^2 \log (a+b x) \log ^2\left(\frac{1}{c+d x}\right)}{d^3 i^3}+\frac{b^2 B^2 g^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2\left(\frac{1}{c+d x}\right)}{d^3 i^3}+\frac{2 b (b c-a d) g^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{d^3 i^3 (c+d x)}-\frac{(b c-a d)^2 g^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{2 d^3 i^3 (c+d x)^2}+\frac{5 b^2 B^2 g^2 \log (a+b x)}{2 d^3 i^3}-\frac{3 b^2 B g^2 \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{d^3 i^3}-\frac{3 b B (b c-a d) g^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{d^3 i^3 (c+d x)}+\frac{B (b c-a d)^2 g^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{2 d^3 i^3 (c+d x)^2}+\frac{b^2 B^2 g^2 \log ^2(a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{d^3 i^3}-\frac{3 b^2 B^2 g^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{d^3 i^3}+\frac{2 b^2 B^2 g^2 \log (a+b x) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{d^3 i^3}-\frac{3 b^2 B^2 g^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{d^3 i^3}-\frac{2 b^2 B^2 g^2 \log \left(\frac{1}{c+d x}\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^3 i^3}+\frac{2 b^2 B^2 g^2 \left(\log (a+b x)+\log \left(\frac{1}{c+d x}\right)-\log \left(\frac{e (a+b x)}{c+d x}\right)\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^3 i^3}-\frac{3 b^2 B^2 g^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^3 i^3}-\frac{2 A b^2 B g^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^3 i^3}-\frac{2 b^2 B^2 g^2 \text{PolyLog}\left(3,-\frac{d (a+b x)}{b c-a d}\right)}{d^3 i^3}-\frac{2 b^2 B^2 g^2 \text{PolyLog}\left(3,\frac{b (c+d x)}{b c-a d}\right)}{d^3 i^3}+\frac{5 b B^2 (b c-a d) g^2}{2 d^3 i^3 (c+d x)}-\frac{B^2 (b c-a d)^2 g^2}{4 d^3 i^3 (c+d x)^2}","-\frac{2 b^2 B g^2 \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{d^3 i^3}+\frac{2 b^2 B^2 g^2 \text{PolyLog}\left(3,\frac{d (a+b x)}{b (c+d x)}\right)}{d^3 i^3}-\frac{b^2 g^2 \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{d^3 i^3}-\frac{b g^2 (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{d^2 i^3 (c+d x)}+\frac{2 A b B g^2 (a+b x)}{d^2 i^3 (c+d x)}-\frac{g^2 (a+b x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{2 d i^3 (c+d x)^2}+\frac{B g^2 (a+b x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 d i^3 (c+d x)^2}+\frac{2 b B^2 g^2 (a+b x) \log \left(\frac{e (a+b x)}{c+d x}\right)}{d^2 i^3 (c+d x)}-\frac{2 b B^2 g^2 (a+b x)}{d^2 i^3 (c+d x)}-\frac{B^2 g^2 (a+b x)^2}{4 d i^3 (c+d x)^2}",1,"-(B^2*(b*c - a*d)^2*g^2)/(4*d^3*i^3*(c + d*x)^2) + (5*b*B^2*(b*c - a*d)*g^2)/(2*d^3*i^3*(c + d*x)) + (5*b^2*B^2*g^2*Log[a + b*x])/(2*d^3*i^3) + (3*b^2*B^2*g^2*Log[a + b*x]^2)/(2*d^3*i^3) - (b^2*B^2*g^2*Log[a + b*x]*Log[(c + d*x)^(-1)]^2)/(d^3*i^3) + (b^2*B^2*g^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[(c + d*x)^(-1)]^2)/(d^3*i^3) + (B*(b*c - a*d)^2*g^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(2*d^3*i^3*(c + d*x)^2) - (3*b*B*(b*c - a*d)*g^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(d^3*i^3*(c + d*x)) - (3*b^2*B*g^2*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(d^3*i^3) - ((b*c - a*d)^2*g^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(2*d^3*i^3*(c + d*x)^2) + (2*b*(b*c - a*d)*g^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(d^3*i^3*(c + d*x)) - (5*b^2*B^2*g^2*Log[c + d*x])/(2*d^3*i^3) - (b^2*B^2*g^2*Log[a + b*x]^2*Log[c + d*x])/(d^3*i^3) - (2*A*b^2*B*g^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^3*i^3) - (3*b^2*B^2*g^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^3*i^3) - (2*b^2*B^2*g^2*Log[a + b*x]*Log[(c + d*x)^(-1)]*Log[c + d*x])/(d^3*i^3) + (2*b^2*B^2*g^2*Log[-((d*(a + b*x))/(b*c - a*d))]*(Log[a + b*x] + Log[(c + d*x)^(-1)] - Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(d^3*i^3) + (3*b^2*B*g^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(d^3*i^3) + (b^2*g^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2*Log[c + d*x])/(d^3*i^3) + (A*b^2*B*g^2*Log[c + d*x]^2)/(d^3*i^3) + (3*b^2*B^2*g^2*Log[c + d*x]^2)/(2*d^3*i^3) - (b^2*B^2*g^2*Log[a + b*x]*Log[c + d*x]^2)/(d^3*i^3) + (b^2*B^2*g^2*Log[(e*(a + b*x))/(c + d*x)]*Log[c + d*x]^2)/(d^3*i^3) + (b^2*B^2*g^2*Log[c + d*x]^3)/(3*d^3*i^3) - (3*b^2*B^2*g^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(d^3*i^3) + (b^2*B^2*g^2*Log[a + b*x]^2*Log[(b*(c + d*x))/(b*c - a*d)])/(d^3*i^3) - (3*b^2*B^2*g^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(d^3*i^3) + (2*b^2*B^2*g^2*Log[a + b*x]*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(d^3*i^3) - (2*A*b^2*B*g^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^3*i^3) - (3*b^2*B^2*g^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^3*i^3) - (2*b^2*B^2*g^2*Log[(c + d*x)^(-1)]*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^3*i^3) + (2*b^2*B^2*g^2*(Log[a + b*x] + Log[(c + d*x)^(-1)] - Log[(e*(a + b*x))/(c + d*x)])*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^3*i^3) - (2*b^2*B^2*g^2*PolyLog[3, -((d*(a + b*x))/(b*c - a*d))])/(d^3*i^3) - (2*b^2*B^2*g^2*PolyLog[3, (b*(c + d*x))/(b*c - a*d)])/(d^3*i^3)","B",102,25,42,0.5952,1,"{2528, 2525, 12, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 44, 6688, 6742, 2500, 2433, 2375, 2317, 2374, 6589, 2440, 2434, 2499, 2396, 2302, 30}"
102,1,634,0,1.9608767,"\int \frac{(a g+b g x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(c i+d i x)^3} \, dx","Int[((a*g + b*g*x)*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(c*i + d*i*x)^3,x]","\frac{b^2 B^2 g \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{d^2 i^3 (b c-a d)}+\frac{b^2 B^2 g \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^2 i^3 (b c-a d)}+\frac{b^2 B g \log (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{d^2 i^3 (b c-a d)}-\frac{b^2 B g \log (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{d^2 i^3 (b c-a d)}-\frac{b g \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{d^2 i^3 (c+d x)}+\frac{b B g \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{d^2 i^3 (c+d x)}+\frac{g (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{2 d^2 i^3 (c+d x)^2}-\frac{B g (b c-a d) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 d^2 i^3 (c+d x)^2}-\frac{b^2 B^2 g \log ^2(a+b x)}{2 d^2 i^3 (b c-a d)}-\frac{b^2 B^2 g \log ^2(c+d x)}{2 d^2 i^3 (b c-a d)}-\frac{b^2 B^2 g \log (a+b x)}{2 d^2 i^3 (b c-a d)}+\frac{b^2 B^2 g \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{d^2 i^3 (b c-a d)}+\frac{b^2 B^2 g \log (c+d x)}{2 d^2 i^3 (b c-a d)}+\frac{b^2 B^2 g \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{d^2 i^3 (b c-a d)}+\frac{B^2 g (b c-a d)}{4 d^2 i^3 (c+d x)^2}-\frac{b B^2 g}{2 d^2 i^3 (c+d x)}","\frac{g (a+b x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{2 i^3 (c+d x)^2 (b c-a d)}-\frac{B g (a+b x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 i^3 (c+d x)^2 (b c-a d)}+\frac{B^2 g (a+b x)^2}{4 i^3 (c+d x)^2 (b c-a d)}",1,"(B^2*(b*c - a*d)*g)/(4*d^2*i^3*(c + d*x)^2) - (b*B^2*g)/(2*d^2*i^3*(c + d*x)) - (b^2*B^2*g*Log[a + b*x])/(2*d^2*(b*c - a*d)*i^3) - (b^2*B^2*g*Log[a + b*x]^2)/(2*d^2*(b*c - a*d)*i^3) - (B*(b*c - a*d)*g*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(2*d^2*i^3*(c + d*x)^2) + (b*B*g*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(d^2*i^3*(c + d*x)) + (b^2*B*g*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(d^2*(b*c - a*d)*i^3) + ((b*c - a*d)*g*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(2*d^2*i^3*(c + d*x)^2) - (b*g*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(d^2*i^3*(c + d*x)) + (b^2*B^2*g*Log[c + d*x])/(2*d^2*(b*c - a*d)*i^3) + (b^2*B^2*g*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^2*(b*c - a*d)*i^3) - (b^2*B*g*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(d^2*(b*c - a*d)*i^3) - (b^2*B^2*g*Log[c + d*x]^2)/(2*d^2*(b*c - a*d)*i^3) + (b^2*B^2*g*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(d^2*(b*c - a*d)*i^3) + (b^2*B^2*g*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(d^2*(b*c - a*d)*i^3) + (b^2*B^2*g*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^2*(b*c - a*d)*i^3)","C",58,11,40,0.2750,1,"{2528, 2525, 12, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 44}"
103,1,577,0,0.9135852,"\int \frac{\left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(c i+d i x)^3} \, dx","Int[(A + B*Log[(e*(a + b*x))/(c + d*x)])^2/(c*i + d*i*x)^3,x]","\frac{b^2 B^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{d i^3 (b c-a d)^2}+\frac{b^2 B^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d i^3 (b c-a d)^2}+\frac{b^2 B \log (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{d i^3 (b c-a d)^2}-\frac{b^2 B \log (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{d i^3 (b c-a d)^2}+\frac{b B \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{d i^3 (c+d x) (b c-a d)}-\frac{\left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{2 d i^3 (c+d x)^2}+\frac{B \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 d i^3 (c+d x)^2}-\frac{b^2 B^2 \log ^2(a+b x)}{2 d i^3 (b c-a d)^2}-\frac{b^2 B^2 \log ^2(c+d x)}{2 d i^3 (b c-a d)^2}-\frac{3 b^2 B^2 \log (a+b x)}{2 d i^3 (b c-a d)^2}+\frac{b^2 B^2 \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{d i^3 (b c-a d)^2}+\frac{3 b^2 B^2 \log (c+d x)}{2 d i^3 (b c-a d)^2}+\frac{b^2 B^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{d i^3 (b c-a d)^2}-\frac{3 b B^2}{2 d i^3 (c+d x) (b c-a d)}-\frac{B^2}{4 d i^3 (c+d x)^2}","\frac{B d (a+b x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 i^3 (c+d x)^2 (b c-a d)^2}+\frac{b (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{i^3 (c+d x) (b c-a d)^2}-\frac{d (a+b x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{2 i^3 (c+d x)^2 (b c-a d)^2}-\frac{2 A b B (a+b x)}{i^3 (c+d x) (b c-a d)^2}-\frac{2 b B^2 (a+b x) \log \left(\frac{e (a+b x)}{c+d x}\right)}{i^3 (c+d x) (b c-a d)^2}+\frac{2 b B^2 (a+b x)}{i^3 (c+d x) (b c-a d)^2}-\frac{B^2 d (a+b x)^2}{4 i^3 (c+d x)^2 (b c-a d)^2}",1,"-B^2/(4*d*i^3*(c + d*x)^2) - (3*b*B^2)/(2*d*(b*c - a*d)*i^3*(c + d*x)) - (3*b^2*B^2*Log[a + b*x])/(2*d*(b*c - a*d)^2*i^3) - (b^2*B^2*Log[a + b*x]^2)/(2*d*(b*c - a*d)^2*i^3) + (B*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(2*d*i^3*(c + d*x)^2) + (b*B*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(d*(b*c - a*d)*i^3*(c + d*x)) + (b^2*B*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(d*(b*c - a*d)^2*i^3) - (A + B*Log[(e*(a + b*x))/(c + d*x)])^2/(2*d*i^3*(c + d*x)^2) + (3*b^2*B^2*Log[c + d*x])/(2*d*(b*c - a*d)^2*i^3) + (b^2*B^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d*(b*c - a*d)^2*i^3) - (b^2*B*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(d*(b*c - a*d)^2*i^3) - (b^2*B^2*Log[c + d*x]^2)/(2*d*(b*c - a*d)^2*i^3) + (b^2*B^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(d*(b*c - a*d)^2*i^3) + (b^2*B^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(d*(b*c - a*d)^2*i^3) + (b^2*B^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d*(b*c - a*d)^2*i^3)","C",30,11,32,0.3438,1,"{2525, 12, 2528, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 44}"
104,1,1899,0,7.3651889,"\int \frac{\left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(a g+b g x) (c i+d i x)^3} \, dx","Int[(A + B*Log[(e*(a + b*x))/(c + d*x)])^2/((a*g + b*g*x)*(c*i + d*i*x)^3),x]","-\frac{b^2 B^2 \log ^3(c+d x)}{3 (b c-a d)^3 g i^3}+\frac{b^2 B^2 \log (a+b x) \log ^2(c+d x)}{(b c-a d)^3 g i^3}-\frac{b^2 B^2 \log \left(\frac{e (a+b x)}{c+d x}\right) \log ^2(c+d x)}{(b c-a d)^3 g i^3}+\frac{3 b^2 B^2 \log ^2(c+d x)}{2 (b c-a d)^3 g i^3}-\frac{A b^2 B \log ^2(c+d x)}{(b c-a d)^3 g i^3}+\frac{b^2 B^2 \log ^2(a+b x) \log (c+d x)}{(b c-a d)^3 g i^3}-\frac{b^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 \log (c+d x)}{(b c-a d)^3 g i^3}-\frac{3 b^2 B^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{(b c-a d)^3 g i^3}+\frac{2 A b^2 B \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{(b c-a d)^3 g i^3}+\frac{2 b^2 B^2 \log (a+b x) \log \left(\frac{1}{c+d x}\right) \log (c+d x)}{(b c-a d)^3 g i^3}-\frac{2 b^2 B^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \left(\log (a+b x)+\log \left(\frac{1}{c+d x}\right)-\log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x)}{(b c-a d)^3 g i^3}+\frac{3 b^2 B \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x)}{(b c-a d)^3 g i^3}-\frac{7 b^2 B^2 \log (c+d x)}{2 (b c-a d)^3 g i^3}+\frac{3 b^2 B^2 \log ^2(a+b x)}{2 (b c-a d)^3 g i^3}-\frac{A b^2 B \log ^2(a+b x)}{(b c-a d)^3 g i^3}+\frac{b^2 B^2 \log (a+b x) \log ^2\left(\frac{1}{c+d x}\right)}{(b c-a d)^3 g i^3}-\frac{b^2 B^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2\left(\frac{1}{c+d x}\right)}{(b c-a d)^3 g i^3}-\frac{b^2 B^2 \log \left(-\frac{b c-a d}{d (a+b x)}\right) \log ^2\left(\frac{e (a+b x)}{c+d x}\right)}{(b c-a d)^3 g i^3}-\frac{b^2 B^2 \log (a+b x) \log ^2\left(\frac{e (a+b x)}{c+d x}\right)}{(b c-a d)^3 g i^3}+\frac{b^2 \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(b c-a d)^3 g i^3}+\frac{b \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(b c-a d)^2 g i^3 (c+d x)}+\frac{\left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{2 (b c-a d) g i^3 (c+d x)^2}+\frac{7 b^2 B^2 \log (a+b x)}{2 (b c-a d)^3 g i^3}-\frac{3 b^2 B \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{(b c-a d)^3 g i^3}-\frac{3 b B \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{(b c-a d)^2 g i^3 (c+d x)}-\frac{B \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{2 (b c-a d) g i^3 (c+d x)^2}-\frac{b^2 B^2 \log ^2(a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^3 g i^3}-\frac{3 b^2 B^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^3 g i^3}+\frac{2 A b^2 B \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^3 g i^3}-\frac{2 b^2 B^2 \log (a+b x) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^3 g i^3}-\frac{3 b^2 B^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^3 g i^3}+\frac{2 A b^2 B \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^3 g i^3}+\frac{2 b^2 B^2 \log \left(\frac{1}{c+d x}\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^3 g i^3}-\frac{2 b^2 B^2 \left(\log (a+b x)+\log \left(\frac{1}{c+d x}\right)-\log \left(\frac{e (a+b x)}{c+d x}\right)\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^3 g i^3}-\frac{3 b^2 B^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^3 g i^3}+\frac{2 A b^2 B \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^3 g i^3}+\frac{2 b^2 B^2 \log \left(\frac{e (a+b x)}{c+d x}\right) \text{PolyLog}\left(2,\frac{b c-a d}{d (a+b x)}+1\right)}{(b c-a d)^3 g i^3}+\frac{2 b^2 B^2 \text{PolyLog}\left(3,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^3 g i^3}+\frac{2 b^2 B^2 \text{PolyLog}\left(3,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^3 g i^3}+\frac{2 b^2 B^2 \text{PolyLog}\left(3,\frac{b c-a d}{d (a+b x)}+1\right)}{(b c-a d)^3 g i^3}+\frac{7 b B^2}{2 (b c-a d)^2 g i^3 (c+d x)}+\frac{B^2}{4 (b c-a d) g i^3 (c+d x)^2}","\frac{b^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^3}{3 B g i^3 (b c-a d)^3}+\frac{d^2 (a+b x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{2 g i^3 (c+d x)^2 (b c-a d)^3}-\frac{B d^2 (a+b x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 g i^3 (c+d x)^2 (b c-a d)^3}-\frac{2 b d (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{g i^3 (c+d x) (b c-a d)^3}+\frac{4 A b B d (a+b x)}{g i^3 (c+d x) (b c-a d)^3}+\frac{B^2 d^2 (a+b x)^2}{4 g i^3 (c+d x)^2 (b c-a d)^3}+\frac{4 b B^2 d (a+b x) \log \left(\frac{e (a+b x)}{c+d x}\right)}{g i^3 (c+d x) (b c-a d)^3}-\frac{4 b B^2 d (a+b x)}{g i^3 (c+d x) (b c-a d)^3}",1,"B^2/(4*(b*c - a*d)*g*i^3*(c + d*x)^2) + (7*b*B^2)/(2*(b*c - a*d)^2*g*i^3*(c + d*x)) + (7*b^2*B^2*Log[a + b*x])/(2*(b*c - a*d)^3*g*i^3) - (A*b^2*B*Log[a + b*x]^2)/((b*c - a*d)^3*g*i^3) + (3*b^2*B^2*Log[a + b*x]^2)/(2*(b*c - a*d)^3*g*i^3) + (b^2*B^2*Log[a + b*x]*Log[(c + d*x)^(-1)]^2)/((b*c - a*d)^3*g*i^3) - (b^2*B^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[(c + d*x)^(-1)]^2)/((b*c - a*d)^3*g*i^3) - (b^2*B^2*Log[-((b*c - a*d)/(d*(a + b*x)))]*Log[(e*(a + b*x))/(c + d*x)]^2)/((b*c - a*d)^3*g*i^3) - (b^2*B^2*Log[a + b*x]*Log[(e*(a + b*x))/(c + d*x)]^2)/((b*c - a*d)^3*g*i^3) - (B*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(2*(b*c - a*d)*g*i^3*(c + d*x)^2) - (3*b*B*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/((b*c - a*d)^2*g*i^3*(c + d*x)) - (3*b^2*B*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/((b*c - a*d)^3*g*i^3) + (A + B*Log[(e*(a + b*x))/(c + d*x)])^2/(2*(b*c - a*d)*g*i^3*(c + d*x)^2) + (b*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/((b*c - a*d)^2*g*i^3*(c + d*x)) + (b^2*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/((b*c - a*d)^3*g*i^3) - (7*b^2*B^2*Log[c + d*x])/(2*(b*c - a*d)^3*g*i^3) + (b^2*B^2*Log[a + b*x]^2*Log[c + d*x])/((b*c - a*d)^3*g*i^3) + (2*A*b^2*B*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^3*g*i^3) - (3*b^2*B^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^3*g*i^3) + (2*b^2*B^2*Log[a + b*x]*Log[(c + d*x)^(-1)]*Log[c + d*x])/((b*c - a*d)^3*g*i^3) - (2*b^2*B^2*Log[-((d*(a + b*x))/(b*c - a*d))]*(Log[a + b*x] + Log[(c + d*x)^(-1)] - Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/((b*c - a*d)^3*g*i^3) + (3*b^2*B*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/((b*c - a*d)^3*g*i^3) - (b^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2*Log[c + d*x])/((b*c - a*d)^3*g*i^3) - (A*b^2*B*Log[c + d*x]^2)/((b*c - a*d)^3*g*i^3) + (3*b^2*B^2*Log[c + d*x]^2)/(2*(b*c - a*d)^3*g*i^3) + (b^2*B^2*Log[a + b*x]*Log[c + d*x]^2)/((b*c - a*d)^3*g*i^3) - (b^2*B^2*Log[(e*(a + b*x))/(c + d*x)]*Log[c + d*x]^2)/((b*c - a*d)^3*g*i^3) - (b^2*B^2*Log[c + d*x]^3)/(3*(b*c - a*d)^3*g*i^3) + (2*A*b^2*B*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g*i^3) - (3*b^2*B^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g*i^3) - (b^2*B^2*Log[a + b*x]^2*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g*i^3) + (2*A*b^2*B*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^3*g*i^3) - (3*b^2*B^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^3*g*i^3) - (2*b^2*B^2*Log[a + b*x]*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^3*g*i^3) + (2*A*b^2*B*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g*i^3) - (3*b^2*B^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g*i^3) + (2*b^2*B^2*Log[(c + d*x)^(-1)]*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g*i^3) - (2*b^2*B^2*(Log[a + b*x] + Log[(c + d*x)^(-1)] - Log[(e*(a + b*x))/(c + d*x)])*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g*i^3) + (2*b^2*B^2*Log[(e*(a + b*x))/(c + d*x)]*PolyLog[2, 1 + (b*c - a*d)/(d*(a + b*x))])/((b*c - a*d)^3*g*i^3) + (2*b^2*B^2*PolyLog[3, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^3*g*i^3) + (2*b^2*B^2*PolyLog[3, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g*i^3) + (2*b^2*B^2*PolyLog[3, 1 + (b*c - a*d)/(d*(a + b*x))])/((b*c - a*d)^3*g*i^3)","C",117,31,42,0.7381,1,"{2528, 2524, 12, 2418, 2390, 2301, 2394, 2393, 2391, 6688, 6742, 2411, 2344, 2317, 2507, 2488, 2506, 6610, 2525, 44, 2500, 2433, 2375, 2374, 6589, 2440, 2434, 2499, 2396, 2302, 30}"
105,1,2071,0,8.4174256,"\int \frac{\left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(a g+b g x)^2 (c i+d i x)^3} \, dx","Int[(A + B*Log[(e*(a + b*x))/(c + d*x)])^2/((a*g + b*g*x)^2*(c*i + d*i*x)^3),x]","\frac{b^2 B^2 d \log ^3(c+d x)}{(b c-a d)^4 g^2 i^3}-\frac{3 b^2 B^2 d \log (a+b x) \log ^2(c+d x)}{(b c-a d)^4 g^2 i^3}+\frac{3 b^2 B^2 d \log \left(\frac{e (a+b x)}{c+d x}\right) \log ^2(c+d x)}{(b c-a d)^4 g^2 i^3}-\frac{3 b^2 B^2 d \log ^2(c+d x)}{2 (b c-a d)^4 g^2 i^3}+\frac{3 A b^2 B d \log ^2(c+d x)}{(b c-a d)^4 g^2 i^3}-\frac{3 b^2 B^2 d \log ^2(a+b x) \log (c+d x)}{(b c-a d)^4 g^2 i^3}+\frac{3 b^2 d \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 \log (c+d x)}{(b c-a d)^4 g^2 i^3}+\frac{3 b^2 B^2 d \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{(b c-a d)^4 g^2 i^3}-\frac{6 A b^2 B d \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{(b c-a d)^4 g^2 i^3}-\frac{6 b^2 B^2 d \log (a+b x) \log \left(\frac{1}{c+d x}\right) \log (c+d x)}{(b c-a d)^4 g^2 i^3}+\frac{6 b^2 B^2 d \log \left(-\frac{d (a+b x)}{b c-a d}\right) \left(\log (a+b x)+\log \left(\frac{1}{c+d x}\right)-\log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x)}{(b c-a d)^4 g^2 i^3}-\frac{3 b^2 B d \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x)}{(b c-a d)^4 g^2 i^3}+\frac{15 b^2 B^2 d \log (c+d x)}{2 (b c-a d)^4 g^2 i^3}-\frac{3 b^2 B^2 d \log ^2(a+b x)}{2 (b c-a d)^4 g^2 i^3}+\frac{3 A b^2 B d \log ^2(a+b x)}{(b c-a d)^4 g^2 i^3}-\frac{3 b^2 B^2 d \log (a+b x) \log ^2\left(\frac{1}{c+d x}\right)}{(b c-a d)^4 g^2 i^3}+\frac{3 b^2 B^2 d \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2\left(\frac{1}{c+d x}\right)}{(b c-a d)^4 g^2 i^3}+\frac{3 b^2 B^2 d \log \left(-\frac{b c-a d}{d (a+b x)}\right) \log ^2\left(\frac{e (a+b x)}{c+d x}\right)}{(b c-a d)^4 g^2 i^3}+\frac{3 b^2 B^2 d \log (a+b x) \log ^2\left(\frac{e (a+b x)}{c+d x}\right)}{(b c-a d)^4 g^2 i^3}-\frac{3 b^2 d \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(b c-a d)^4 g^2 i^3}-\frac{b^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(b c-a d)^3 g^2 i^3 (a+b x)}-\frac{2 b d \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(b c-a d)^3 g^2 i^3 (c+d x)}-\frac{d \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{2 (b c-a d)^2 g^2 i^3 (c+d x)^2}-\frac{15 b^2 B^2 d \log (a+b x)}{2 (b c-a d)^4 g^2 i^3}+\frac{3 b^2 B d \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{(b c-a d)^4 g^2 i^3}-\frac{2 b^2 B \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{(b c-a d)^3 g^2 i^3 (a+b x)}+\frac{5 b B d \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{(b c-a d)^3 g^2 i^3 (c+d x)}+\frac{B d \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{2 (b c-a d)^2 g^2 i^3 (c+d x)^2}+\frac{3 b^2 B^2 d \log ^2(a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^4 g^2 i^3}+\frac{3 b^2 B^2 d \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^4 g^2 i^3}-\frac{6 A b^2 B d \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^4 g^2 i^3}+\frac{6 b^2 B^2 d \log (a+b x) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^4 g^2 i^3}+\frac{3 b^2 B^2 d \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^4 g^2 i^3}-\frac{6 A b^2 B d \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^4 g^2 i^3}-\frac{6 b^2 B^2 d \log \left(\frac{1}{c+d x}\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^4 g^2 i^3}+\frac{6 b^2 B^2 d \left(\log (a+b x)+\log \left(\frac{1}{c+d x}\right)-\log \left(\frac{e (a+b x)}{c+d x}\right)\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^4 g^2 i^3}+\frac{3 b^2 B^2 d \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^4 g^2 i^3}-\frac{6 A b^2 B d \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^4 g^2 i^3}-\frac{6 b^2 B^2 d \log \left(\frac{e (a+b x)}{c+d x}\right) \text{PolyLog}\left(2,\frac{b c-a d}{d (a+b x)}+1\right)}{(b c-a d)^4 g^2 i^3}-\frac{6 b^2 B^2 d \text{PolyLog}\left(3,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^4 g^2 i^3}-\frac{6 b^2 B^2 d \text{PolyLog}\left(3,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^4 g^2 i^3}-\frac{6 b^2 B^2 d \text{PolyLog}\left(3,\frac{b c-a d}{d (a+b x)}+1\right)}{(b c-a d)^4 g^2 i^3}-\frac{2 b^2 B^2}{(b c-a d)^3 g^2 i^3 (a+b x)}-\frac{11 b B^2 d}{2 (b c-a d)^3 g^2 i^3 (c+d x)}-\frac{B^2 d}{4 (b c-a d)^2 g^2 i^3 (c+d x)^2}","-\frac{b^3 (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{g^2 i^3 (a+b x) (b c-a d)^4}-\frac{2 b^3 B (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^2 i^3 (a+b x) (b c-a d)^4}-\frac{b^2 d \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^3}{B g^2 i^3 (b c-a d)^4}+\frac{3 b d^2 (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{g^2 i^3 (c+d x) (b c-a d)^4}-\frac{d^3 (a+b x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{2 g^2 i^3 (c+d x)^2 (b c-a d)^4}+\frac{B d^3 (a+b x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 g^2 i^3 (c+d x)^2 (b c-a d)^4}-\frac{6 A b B d^2 (a+b x)}{g^2 i^3 (c+d x) (b c-a d)^4}-\frac{2 b^3 B^2 (c+d x)}{g^2 i^3 (a+b x) (b c-a d)^4}-\frac{6 b B^2 d^2 (a+b x) \log \left(\frac{e (a+b x)}{c+d x}\right)}{g^2 i^3 (c+d x) (b c-a d)^4}+\frac{6 b B^2 d^2 (a+b x)}{g^2 i^3 (c+d x) (b c-a d)^4}-\frac{B^2 d^3 (a+b x)^2}{4 g^2 i^3 (c+d x)^2 (b c-a d)^4}",1,"(-2*b^2*B^2)/((b*c - a*d)^3*g^2*i^3*(a + b*x)) - (B^2*d)/(4*(b*c - a*d)^2*g^2*i^3*(c + d*x)^2) - (11*b*B^2*d)/(2*(b*c - a*d)^3*g^2*i^3*(c + d*x)) - (15*b^2*B^2*d*Log[a + b*x])/(2*(b*c - a*d)^4*g^2*i^3) + (3*A*b^2*B*d*Log[a + b*x]^2)/((b*c - a*d)^4*g^2*i^3) - (3*b^2*B^2*d*Log[a + b*x]^2)/(2*(b*c - a*d)^4*g^2*i^3) - (3*b^2*B^2*d*Log[a + b*x]*Log[(c + d*x)^(-1)]^2)/((b*c - a*d)^4*g^2*i^3) + (3*b^2*B^2*d*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[(c + d*x)^(-1)]^2)/((b*c - a*d)^4*g^2*i^3) + (3*b^2*B^2*d*Log[-((b*c - a*d)/(d*(a + b*x)))]*Log[(e*(a + b*x))/(c + d*x)]^2)/((b*c - a*d)^4*g^2*i^3) + (3*b^2*B^2*d*Log[a + b*x]*Log[(e*(a + b*x))/(c + d*x)]^2)/((b*c - a*d)^4*g^2*i^3) - (2*b^2*B*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/((b*c - a*d)^3*g^2*i^3*(a + b*x)) + (B*d*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(2*(b*c - a*d)^2*g^2*i^3*(c + d*x)^2) + (5*b*B*d*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/((b*c - a*d)^3*g^2*i^3*(c + d*x)) + (3*b^2*B*d*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/((b*c - a*d)^4*g^2*i^3) - (b^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/((b*c - a*d)^3*g^2*i^3*(a + b*x)) - (d*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(2*(b*c - a*d)^2*g^2*i^3*(c + d*x)^2) - (2*b*d*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/((b*c - a*d)^3*g^2*i^3*(c + d*x)) - (3*b^2*d*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/((b*c - a*d)^4*g^2*i^3) + (15*b^2*B^2*d*Log[c + d*x])/(2*(b*c - a*d)^4*g^2*i^3) - (3*b^2*B^2*d*Log[a + b*x]^2*Log[c + d*x])/((b*c - a*d)^4*g^2*i^3) - (6*A*b^2*B*d*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^4*g^2*i^3) + (3*b^2*B^2*d*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^4*g^2*i^3) - (6*b^2*B^2*d*Log[a + b*x]*Log[(c + d*x)^(-1)]*Log[c + d*x])/((b*c - a*d)^4*g^2*i^3) + (6*b^2*B^2*d*Log[-((d*(a + b*x))/(b*c - a*d))]*(Log[a + b*x] + Log[(c + d*x)^(-1)] - Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/((b*c - a*d)^4*g^2*i^3) - (3*b^2*B*d*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/((b*c - a*d)^4*g^2*i^3) + (3*b^2*d*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2*Log[c + d*x])/((b*c - a*d)^4*g^2*i^3) + (3*A*b^2*B*d*Log[c + d*x]^2)/((b*c - a*d)^4*g^2*i^3) - (3*b^2*B^2*d*Log[c + d*x]^2)/(2*(b*c - a*d)^4*g^2*i^3) - (3*b^2*B^2*d*Log[a + b*x]*Log[c + d*x]^2)/((b*c - a*d)^4*g^2*i^3) + (3*b^2*B^2*d*Log[(e*(a + b*x))/(c + d*x)]*Log[c + d*x]^2)/((b*c - a*d)^4*g^2*i^3) + (b^2*B^2*d*Log[c + d*x]^3)/((b*c - a*d)^4*g^2*i^3) - (6*A*b^2*B*d*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^2*i^3) + (3*b^2*B^2*d*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^2*i^3) + (3*b^2*B^2*d*Log[a + b*x]^2*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^2*i^3) - (6*A*b^2*B*d*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^4*g^2*i^3) + (3*b^2*B^2*d*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^4*g^2*i^3) + (6*b^2*B^2*d*Log[a + b*x]*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^4*g^2*i^3) - (6*A*b^2*B*d*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^2*i^3) + (3*b^2*B^2*d*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^2*i^3) - (6*b^2*B^2*d*Log[(c + d*x)^(-1)]*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^2*i^3) + (6*b^2*B^2*d*(Log[a + b*x] + Log[(c + d*x)^(-1)] - Log[(e*(a + b*x))/(c + d*x)])*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^2*i^3) - (6*b^2*B^2*d*Log[(e*(a + b*x))/(c + d*x)]*PolyLog[2, 1 + (b*c - a*d)/(d*(a + b*x))])/((b*c - a*d)^4*g^2*i^3) - (6*b^2*B^2*d*PolyLog[3, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^4*g^2*i^3) - (6*b^2*B^2*d*PolyLog[3, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^2*i^3) - (6*b^2*B^2*d*PolyLog[3, 1 + (b*c - a*d)/(d*(a + b*x))])/((b*c - a*d)^4*g^2*i^3)","C",143,31,42,0.7381,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 6688, 6742, 2411, 2344, 2317, 2507, 2488, 2506, 6610, 2500, 2433, 2375, 2374, 6589, 2440, 2434, 2499, 2396, 2302, 30}"
106,1,1921,0,9.5792773,"\int \frac{\left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(a g+b g x)^3 (c i+d i x)^3} \, dx","Int[(A + B*Log[(e*(a + b*x))/(c + d*x)])^2/((a*g + b*g*x)^3*(c*i + d*i*x)^3),x]","-\frac{2 b^2 B^2 d^2 \log ^3(c+d x)}{(b c-a d)^5 g^3 i^3}+\frac{6 b^2 B^2 d^2 \log (a+b x) \log ^2(c+d x)}{(b c-a d)^5 g^3 i^3}-\frac{6 b^2 B^2 d^2 \log \left(\frac{e (a+b x)}{c+d x}\right) \log ^2(c+d x)}{(b c-a d)^5 g^3 i^3}-\frac{6 A b^2 B d^2 \log ^2(c+d x)}{(b c-a d)^5 g^3 i^3}+\frac{6 b^2 B^2 d^2 \log ^2(a+b x) \log (c+d x)}{(b c-a d)^5 g^3 i^3}-\frac{6 b^2 d^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 \log (c+d x)}{(b c-a d)^5 g^3 i^3}+\frac{12 A b^2 B d^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{(b c-a d)^5 g^3 i^3}+\frac{12 b^2 B^2 d^2 \log (a+b x) \log \left(\frac{1}{c+d x}\right) \log (c+d x)}{(b c-a d)^5 g^3 i^3}-\frac{12 b^2 B^2 d^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \left(\log (a+b x)+\log \left(\frac{1}{c+d x}\right)-\log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x)}{(b c-a d)^5 g^3 i^3}-\frac{15 b^2 B^2 d^2 \log (c+d x)}{(b c-a d)^5 g^3 i^3}-\frac{6 A b^2 B d^2 \log ^2(a+b x)}{(b c-a d)^5 g^3 i^3}+\frac{6 b^2 B^2 d^2 \log (a+b x) \log ^2\left(\frac{1}{c+d x}\right)}{(b c-a d)^5 g^3 i^3}-\frac{6 b^2 B^2 d^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2\left(\frac{1}{c+d x}\right)}{(b c-a d)^5 g^3 i^3}-\frac{6 b^2 B^2 d^2 \log \left(-\frac{b c-a d}{d (a+b x)}\right) \log ^2\left(\frac{e (a+b x)}{c+d x}\right)}{(b c-a d)^5 g^3 i^3}-\frac{6 b^2 B^2 d^2 \log (a+b x) \log ^2\left(\frac{e (a+b x)}{c+d x}\right)}{(b c-a d)^5 g^3 i^3}+\frac{6 b^2 d^2 \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(b c-a d)^5 g^3 i^3}+\frac{3 b^2 d \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(b c-a d)^4 g^3 i^3 (a+b x)}+\frac{3 b d^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(b c-a d)^4 g^3 i^3 (c+d x)}-\frac{b^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{2 (b c-a d)^3 g^3 i^3 (a+b x)^2}+\frac{d^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{2 (b c-a d)^3 g^3 i^3 (c+d x)^2}+\frac{15 b^2 B^2 d^2 \log (a+b x)}{(b c-a d)^5 g^3 i^3}+\frac{7 b^2 B d \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{(b c-a d)^4 g^3 i^3 (a+b x)}-\frac{7 b B d^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{(b c-a d)^4 g^3 i^3 (c+d x)}-\frac{b^2 B \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{2 (b c-a d)^3 g^3 i^3 (a+b x)^2}-\frac{B d^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{2 (b c-a d)^3 g^3 i^3 (c+d x)^2}-\frac{6 b^2 B^2 d^2 \log ^2(a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^5 g^3 i^3}+\frac{12 A b^2 B d^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^5 g^3 i^3}-\frac{12 b^2 B^2 d^2 \log (a+b x) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^5 g^3 i^3}+\frac{12 A b^2 B d^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^5 g^3 i^3}+\frac{12 b^2 B^2 d^2 \log \left(\frac{1}{c+d x}\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^5 g^3 i^3}-\frac{12 b^2 B^2 d^2 \left(\log (a+b x)+\log \left(\frac{1}{c+d x}\right)-\log \left(\frac{e (a+b x)}{c+d x}\right)\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^5 g^3 i^3}+\frac{12 A b^2 B d^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^5 g^3 i^3}+\frac{12 b^2 B^2 d^2 \log \left(\frac{e (a+b x)}{c+d x}\right) \text{PolyLog}\left(2,\frac{b c-a d}{d (a+b x)}+1\right)}{(b c-a d)^5 g^3 i^3}+\frac{12 b^2 B^2 d^2 \text{PolyLog}\left(3,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^5 g^3 i^3}+\frac{12 b^2 B^2 d^2 \text{PolyLog}\left(3,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^5 g^3 i^3}+\frac{12 b^2 B^2 d^2 \text{PolyLog}\left(3,\frac{b c-a d}{d (a+b x)}+1\right)}{(b c-a d)^5 g^3 i^3}+\frac{15 b^2 B^2 d}{2 (b c-a d)^4 g^3 i^3 (a+b x)}+\frac{15 b B^2 d^2}{2 (b c-a d)^4 g^3 i^3 (c+d x)}-\frac{b^2 B^2}{4 (b c-a d)^3 g^3 i^3 (a+b x)^2}+\frac{B^2 d^2}{4 (b c-a d)^3 g^3 i^3 (c+d x)^2}","\frac{2 b^2 d^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^3}{B g^3 i^3 (b c-a d)^5}-\frac{b^4 (c+d x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{2 g^3 i^3 (a+b x)^2 (b c-a d)^5}-\frac{b^4 B (c+d x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 g^3 i^3 (a+b x)^2 (b c-a d)^5}+\frac{4 b^3 d (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{g^3 i^3 (a+b x) (b c-a d)^5}+\frac{8 b^3 B d (c+d x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{g^3 i^3 (a+b x) (b c-a d)^5}-\frac{4 b d^3 (a+b x) \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{g^3 i^3 (c+d x) (b c-a d)^5}+\frac{d^4 (a+b x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)^2}{2 g^3 i^3 (c+d x)^2 (b c-a d)^5}-\frac{B d^4 (a+b x)^2 \left(B \log \left(\frac{e (a+b x)}{c+d x}\right)+A\right)}{2 g^3 i^3 (c+d x)^2 (b c-a d)^5}+\frac{8 A b B d^3 (a+b x)}{g^3 i^3 (c+d x) (b c-a d)^5}-\frac{b^4 B^2 (c+d x)^2}{4 g^3 i^3 (a+b x)^2 (b c-a d)^5}+\frac{8 b^3 B^2 d (c+d x)}{g^3 i^3 (a+b x) (b c-a d)^5}+\frac{8 b B^2 d^3 (a+b x) \log \left(\frac{e (a+b x)}{c+d x}\right)}{g^3 i^3 (c+d x) (b c-a d)^5}-\frac{8 b B^2 d^3 (a+b x)}{g^3 i^3 (c+d x) (b c-a d)^5}+\frac{B^2 d^4 (a+b x)^2}{4 g^3 i^3 (c+d x)^2 (b c-a d)^5}",1,"-(b^2*B^2)/(4*(b*c - a*d)^3*g^3*i^3*(a + b*x)^2) + (15*b^2*B^2*d)/(2*(b*c - a*d)^4*g^3*i^3*(a + b*x)) + (B^2*d^2)/(4*(b*c - a*d)^3*g^3*i^3*(c + d*x)^2) + (15*b*B^2*d^2)/(2*(b*c - a*d)^4*g^3*i^3*(c + d*x)) + (15*b^2*B^2*d^2*Log[a + b*x])/((b*c - a*d)^5*g^3*i^3) - (6*A*b^2*B*d^2*Log[a + b*x]^2)/((b*c - a*d)^5*g^3*i^3) + (6*b^2*B^2*d^2*Log[a + b*x]*Log[(c + d*x)^(-1)]^2)/((b*c - a*d)^5*g^3*i^3) - (6*b^2*B^2*d^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[(c + d*x)^(-1)]^2)/((b*c - a*d)^5*g^3*i^3) - (6*b^2*B^2*d^2*Log[-((b*c - a*d)/(d*(a + b*x)))]*Log[(e*(a + b*x))/(c + d*x)]^2)/((b*c - a*d)^5*g^3*i^3) - (6*b^2*B^2*d^2*Log[a + b*x]*Log[(e*(a + b*x))/(c + d*x)]^2)/((b*c - a*d)^5*g^3*i^3) - (b^2*B*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(2*(b*c - a*d)^3*g^3*i^3*(a + b*x)^2) + (7*b^2*B*d*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/((b*c - a*d)^4*g^3*i^3*(a + b*x)) - (B*d^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(2*(b*c - a*d)^3*g^3*i^3*(c + d*x)^2) - (7*b*B*d^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/((b*c - a*d)^4*g^3*i^3*(c + d*x)) - (b^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(2*(b*c - a*d)^3*g^3*i^3*(a + b*x)^2) + (3*b^2*d*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/((b*c - a*d)^4*g^3*i^3*(a + b*x)) + (d^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(2*(b*c - a*d)^3*g^3*i^3*(c + d*x)^2) + (3*b*d^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/((b*c - a*d)^4*g^3*i^3*(c + d*x)) + (6*b^2*d^2*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/((b*c - a*d)^5*g^3*i^3) - (15*b^2*B^2*d^2*Log[c + d*x])/((b*c - a*d)^5*g^3*i^3) + (6*b^2*B^2*d^2*Log[a + b*x]^2*Log[c + d*x])/((b*c - a*d)^5*g^3*i^3) + (12*A*b^2*B*d^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^5*g^3*i^3) + (12*b^2*B^2*d^2*Log[a + b*x]*Log[(c + d*x)^(-1)]*Log[c + d*x])/((b*c - a*d)^5*g^3*i^3) - (12*b^2*B^2*d^2*Log[-((d*(a + b*x))/(b*c - a*d))]*(Log[a + b*x] + Log[(c + d*x)^(-1)] - Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/((b*c - a*d)^5*g^3*i^3) - (6*b^2*d^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2*Log[c + d*x])/((b*c - a*d)^5*g^3*i^3) - (6*A*b^2*B*d^2*Log[c + d*x]^2)/((b*c - a*d)^5*g^3*i^3) + (6*b^2*B^2*d^2*Log[a + b*x]*Log[c + d*x]^2)/((b*c - a*d)^5*g^3*i^3) - (6*b^2*B^2*d^2*Log[(e*(a + b*x))/(c + d*x)]*Log[c + d*x]^2)/((b*c - a*d)^5*g^3*i^3) - (2*b^2*B^2*d^2*Log[c + d*x]^3)/((b*c - a*d)^5*g^3*i^3) + (12*A*b^2*B*d^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^5*g^3*i^3) - (6*b^2*B^2*d^2*Log[a + b*x]^2*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^5*g^3*i^3) + (12*A*b^2*B*d^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^5*g^3*i^3) - (12*b^2*B^2*d^2*Log[a + b*x]*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^5*g^3*i^3) + (12*A*b^2*B*d^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^5*g^3*i^3) + (12*b^2*B^2*d^2*Log[(c + d*x)^(-1)]*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^5*g^3*i^3) - (12*b^2*B^2*d^2*(Log[a + b*x] + Log[(c + d*x)^(-1)] - Log[(e*(a + b*x))/(c + d*x)])*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^5*g^3*i^3) + (12*b^2*B^2*d^2*Log[(e*(a + b*x))/(c + d*x)]*PolyLog[2, 1 + (b*c - a*d)/(d*(a + b*x))])/((b*c - a*d)^5*g^3*i^3) + (12*b^2*B^2*d^2*PolyLog[3, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^5*g^3*i^3) + (12*b^2*B^2*d^2*PolyLog[3, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^5*g^3*i^3) + (12*b^2*B^2*d^2*PolyLog[3, 1 + (b*c - a*d)/(d*(a + b*x))])/((b*c - a*d)^5*g^3*i^3)","C",173,31,42,0.7381,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 6688, 6742, 2411, 2344, 2317, 2507, 2488, 2506, 6610, 2500, 2433, 2375, 2374, 6589, 2440, 2434, 2499, 2396, 2302, 30}"
107,1,2454,0,10.9210759,"\int \frac{\left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{(a g+b g x)^4 (c i+d i x)^3} \, dx","Int[(A + B*Log[(e*(a + b*x))/(c + d*x)])^2/((a*g + b*g*x)^4*(c*i + d*i*x)^3),x]","\frac{10 b^2 B^2 \log ^3(c+d x) d^3}{3 (b c-a d)^6 g^4 i^3}+\frac{10 b^2 B^2 \log ^2(a+b x) d^3}{3 (b c-a d)^6 g^4 i^3}+\frac{10 A b^2 B \log ^2(a+b x) d^3}{(b c-a d)^6 g^4 i^3}-\frac{10 b^2 B^2 \log (a+b x) \log ^2\left(\frac{1}{c+d x}\right) d^3}{(b c-a d)^6 g^4 i^3}+\frac{10 b^2 B^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2\left(\frac{1}{c+d x}\right) d^3}{(b c-a d)^6 g^4 i^3}+\frac{10 b^2 B^2 \log \left(-\frac{b c-a d}{d (a+b x)}\right) \log ^2\left(\frac{e (a+b x)}{c+d x}\right) d^3}{(b c-a d)^6 g^4 i^3}+\frac{10 b^2 B^2 \log (a+b x) \log ^2\left(\frac{e (a+b x)}{c+d x}\right) d^3}{(b c-a d)^6 g^4 i^3}-\frac{10 b^2 \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 d^3}{(b c-a d)^6 g^4 i^3}-\frac{4 b \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 d^3}{(b c-a d)^5 g^4 i^3 (c+d x)}-\frac{\left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 d^3}{2 (b c-a d)^4 g^4 i^3 (c+d x)^2}-\frac{10 b^2 B^2 \log (a+b x) \log ^2(c+d x) d^3}{(b c-a d)^6 g^4 i^3}+\frac{10 b^2 B^2 \log \left(\frac{e (a+b x)}{c+d x}\right) \log ^2(c+d x) d^3}{(b c-a d)^6 g^4 i^3}+\frac{10 b^2 B^2 \log ^2(c+d x) d^3}{3 (b c-a d)^6 g^4 i^3}+\frac{10 A b^2 B \log ^2(c+d x) d^3}{(b c-a d)^6 g^4 i^3}-\frac{245 b^2 B^2 \log (a+b x) d^3}{9 (b c-a d)^6 g^4 i^3}-\frac{20 b^2 B \log (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) d^3}{3 (b c-a d)^6 g^4 i^3}+\frac{9 b B \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) d^3}{(b c-a d)^5 g^4 i^3 (c+d x)}+\frac{B \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) d^3}{2 (b c-a d)^4 g^4 i^3 (c+d x)^2}-\frac{10 b^2 B^2 \log ^2(a+b x) \log (c+d x) d^3}{(b c-a d)^6 g^4 i^3}+\frac{10 b^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 \log (c+d x) d^3}{(b c-a d)^6 g^4 i^3}-\frac{20 b^2 B^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) d^3}{3 (b c-a d)^6 g^4 i^3}-\frac{20 A b^2 B \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) d^3}{(b c-a d)^6 g^4 i^3}-\frac{20 b^2 B^2 \log (a+b x) \log \left(\frac{1}{c+d x}\right) \log (c+d x) d^3}{(b c-a d)^6 g^4 i^3}+\frac{20 b^2 B^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \left(\log (a+b x)+\log \left(\frac{1}{c+d x}\right)-\log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x) d^3}{(b c-a d)^6 g^4 i^3}+\frac{20 b^2 B \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) \log (c+d x) d^3}{3 (b c-a d)^6 g^4 i^3}+\frac{245 b^2 B^2 \log (c+d x) d^3}{9 (b c-a d)^6 g^4 i^3}+\frac{10 b^2 B^2 \log ^2(a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) d^3}{(b c-a d)^6 g^4 i^3}-\frac{20 b^2 B^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) d^3}{3 (b c-a d)^6 g^4 i^3}-\frac{20 A b^2 B \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) d^3}{(b c-a d)^6 g^4 i^3}+\frac{20 b^2 B^2 \log (a+b x) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) d^3}{(b c-a d)^6 g^4 i^3}-\frac{20 b^2 B^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) d^3}{3 (b c-a d)^6 g^4 i^3}-\frac{20 A b^2 B \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) d^3}{(b c-a d)^6 g^4 i^3}-\frac{20 b^2 B^2 \log \left(\frac{1}{c+d x}\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) d^3}{(b c-a d)^6 g^4 i^3}+\frac{20 b^2 B^2 \left(\log (a+b x)+\log \left(\frac{1}{c+d x}\right)-\log \left(\frac{e (a+b x)}{c+d x}\right)\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) d^3}{(b c-a d)^6 g^4 i^3}-\frac{20 b^2 B^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) d^3}{3 (b c-a d)^6 g^4 i^3}-\frac{20 A b^2 B \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) d^3}{(b c-a d)^6 g^4 i^3}-\frac{20 b^2 B^2 \log \left(\frac{e (a+b x)}{c+d x}\right) \text{PolyLog}\left(2,\frac{b c-a d}{d (a+b x)}+1\right) d^3}{(b c-a d)^6 g^4 i^3}-\frac{20 b^2 B^2 \text{PolyLog}\left(3,-\frac{d (a+b x)}{b c-a d}\right) d^3}{(b c-a d)^6 g^4 i^3}-\frac{20 b^2 B^2 \text{PolyLog}\left(3,\frac{b (c+d x)}{b c-a d}\right) d^3}{(b c-a d)^6 g^4 i^3}-\frac{20 b^2 B^2 \text{PolyLog}\left(3,\frac{b c-a d}{d (a+b x)}+1\right) d^3}{(b c-a d)^6 g^4 i^3}-\frac{19 b B^2 d^3}{2 (b c-a d)^5 g^4 i^3 (c+d x)}-\frac{B^2 d^3}{4 (b c-a d)^4 g^4 i^3 (c+d x)^2}-\frac{6 b^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 d^2}{(b c-a d)^5 g^4 i^3 (a+b x)}-\frac{47 b^2 B \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) d^2}{3 (b c-a d)^5 g^4 i^3 (a+b x)}-\frac{319 b^2 B^2 d^2}{18 (b c-a d)^5 g^4 i^3 (a+b x)}+\frac{3 b^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 d}{2 (b c-a d)^4 g^4 i^3 (a+b x)^2}+\frac{11 b^2 B \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) d}{6 (b c-a d)^4 g^4 i^3 (a+b x)^2}+\frac{37 b^2 B^2 d}{36 (b c-a d)^4 g^4 i^3 (a+b x)^2}-\frac{b^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{3 (b c-a d)^3 g^4 i^3 (a+b x)^3}-\frac{2 b^2 B \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{9 (b c-a d)^3 g^4 i^3 (a+b x)^3}-\frac{2 b^2 B^2}{27 (b c-a d)^3 g^4 i^3 (a+b x)^3}","-\frac{2 B^2 (c+d x)^3 b^5}{27 (b c-a d)^6 g^4 i^3 (a+b x)^3}-\frac{(c+d x)^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 b^5}{3 (b c-a d)^6 g^4 i^3 (a+b x)^3}-\frac{2 B (c+d x)^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) b^5}{9 (b c-a d)^6 g^4 i^3 (a+b x)^3}+\frac{5 B^2 d (c+d x)^2 b^4}{4 (b c-a d)^6 g^4 i^3 (a+b x)^2}+\frac{5 d (c+d x)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 b^4}{2 (b c-a d)^6 g^4 i^3 (a+b x)^2}+\frac{5 B d (c+d x)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) b^4}{2 (b c-a d)^6 g^4 i^3 (a+b x)^2}-\frac{10 d^2 (c+d x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 b^3}{(b c-a d)^6 g^4 i^3 (a+b x)}-\frac{20 B^2 d^2 (c+d x) b^3}{(b c-a d)^6 g^4 i^3 (a+b x)}-\frac{20 B d^2 (c+d x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right) b^3}{(b c-a d)^6 g^4 i^3 (a+b x)}-\frac{10 d^3 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^3 b^2}{3 B (b c-a d)^6 g^4 i^3}+\frac{5 d^4 (a+b x) \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2 b}{(b c-a d)^6 g^4 i^3 (c+d x)}-\frac{10 B^2 d^4 (a+b x) \log \left(\frac{e (a+b x)}{c+d x}\right) b}{(b c-a d)^6 g^4 i^3 (c+d x)}+\frac{10 B^2 d^4 (a+b x) b}{(b c-a d)^6 g^4 i^3 (c+d x)}-\frac{10 A B d^4 (a+b x) b}{(b c-a d)^6 g^4 i^3 (c+d x)}-\frac{d^5 (a+b x)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)^2}{2 (b c-a d)^6 g^4 i^3 (c+d x)^2}+\frac{B d^5 (a+b x)^2 \left(A+B \log \left(\frac{e (a+b x)}{c+d x}\right)\right)}{2 (b c-a d)^6 g^4 i^3 (c+d x)^2}-\frac{B^2 d^5 (a+b x)^2}{4 (b c-a d)^6 g^4 i^3 (c+d x)^2}",1,"(-2*b^2*B^2)/(27*(b*c - a*d)^3*g^4*i^3*(a + b*x)^3) + (37*b^2*B^2*d)/(36*(b*c - a*d)^4*g^4*i^3*(a + b*x)^2) - (319*b^2*B^2*d^2)/(18*(b*c - a*d)^5*g^4*i^3*(a + b*x)) - (B^2*d^3)/(4*(b*c - a*d)^4*g^4*i^3*(c + d*x)^2) - (19*b*B^2*d^3)/(2*(b*c - a*d)^5*g^4*i^3*(c + d*x)) - (245*b^2*B^2*d^3*Log[a + b*x])/(9*(b*c - a*d)^6*g^4*i^3) + (10*A*b^2*B*d^3*Log[a + b*x]^2)/((b*c - a*d)^6*g^4*i^3) + (10*b^2*B^2*d^3*Log[a + b*x]^2)/(3*(b*c - a*d)^6*g^4*i^3) - (10*b^2*B^2*d^3*Log[a + b*x]*Log[(c + d*x)^(-1)]^2)/((b*c - a*d)^6*g^4*i^3) + (10*b^2*B^2*d^3*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[(c + d*x)^(-1)]^2)/((b*c - a*d)^6*g^4*i^3) + (10*b^2*B^2*d^3*Log[-((b*c - a*d)/(d*(a + b*x)))]*Log[(e*(a + b*x))/(c + d*x)]^2)/((b*c - a*d)^6*g^4*i^3) + (10*b^2*B^2*d^3*Log[a + b*x]*Log[(e*(a + b*x))/(c + d*x)]^2)/((b*c - a*d)^6*g^4*i^3) - (2*b^2*B*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(9*(b*c - a*d)^3*g^4*i^3*(a + b*x)^3) + (11*b^2*B*d*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(6*(b*c - a*d)^4*g^4*i^3*(a + b*x)^2) - (47*b^2*B*d^2*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(3*(b*c - a*d)^5*g^4*i^3*(a + b*x)) + (B*d^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(2*(b*c - a*d)^4*g^4*i^3*(c + d*x)^2) + (9*b*B*d^3*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/((b*c - a*d)^5*g^4*i^3*(c + d*x)) - (20*b^2*B*d^3*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)]))/(3*(b*c - a*d)^6*g^4*i^3) - (b^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(3*(b*c - a*d)^3*g^4*i^3*(a + b*x)^3) + (3*b^2*d*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(2*(b*c - a*d)^4*g^4*i^3*(a + b*x)^2) - (6*b^2*d^2*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/((b*c - a*d)^5*g^4*i^3*(a + b*x)) - (d^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/(2*(b*c - a*d)^4*g^4*i^3*(c + d*x)^2) - (4*b*d^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/((b*c - a*d)^5*g^4*i^3*(c + d*x)) - (10*b^2*d^3*Log[a + b*x]*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2)/((b*c - a*d)^6*g^4*i^3) + (245*b^2*B^2*d^3*Log[c + d*x])/(9*(b*c - a*d)^6*g^4*i^3) - (10*b^2*B^2*d^3*Log[a + b*x]^2*Log[c + d*x])/((b*c - a*d)^6*g^4*i^3) - (20*A*b^2*B*d^3*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^6*g^4*i^3) - (20*b^2*B^2*d^3*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(3*(b*c - a*d)^6*g^4*i^3) - (20*b^2*B^2*d^3*Log[a + b*x]*Log[(c + d*x)^(-1)]*Log[c + d*x])/((b*c - a*d)^6*g^4*i^3) + (20*b^2*B^2*d^3*Log[-((d*(a + b*x))/(b*c - a*d))]*(Log[a + b*x] + Log[(c + d*x)^(-1)] - Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/((b*c - a*d)^6*g^4*i^3) + (20*b^2*B*d^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])*Log[c + d*x])/(3*(b*c - a*d)^6*g^4*i^3) + (10*b^2*d^3*(A + B*Log[(e*(a + b*x))/(c + d*x)])^2*Log[c + d*x])/((b*c - a*d)^6*g^4*i^3) + (10*A*b^2*B*d^3*Log[c + d*x]^2)/((b*c - a*d)^6*g^4*i^3) + (10*b^2*B^2*d^3*Log[c + d*x]^2)/(3*(b*c - a*d)^6*g^4*i^3) - (10*b^2*B^2*d^3*Log[a + b*x]*Log[c + d*x]^2)/((b*c - a*d)^6*g^4*i^3) + (10*b^2*B^2*d^3*Log[(e*(a + b*x))/(c + d*x)]*Log[c + d*x]^2)/((b*c - a*d)^6*g^4*i^3) + (10*b^2*B^2*d^3*Log[c + d*x]^3)/(3*(b*c - a*d)^6*g^4*i^3) - (20*A*b^2*B*d^3*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^6*g^4*i^3) - (20*b^2*B^2*d^3*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(3*(b*c - a*d)^6*g^4*i^3) + (10*b^2*B^2*d^3*Log[a + b*x]^2*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^6*g^4*i^3) - (20*A*b^2*B*d^3*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^6*g^4*i^3) - (20*b^2*B^2*d^3*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(3*(b*c - a*d)^6*g^4*i^3) + (20*b^2*B^2*d^3*Log[a + b*x]*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^6*g^4*i^3) - (20*A*b^2*B*d^3*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^6*g^4*i^3) - (20*b^2*B^2*d^3*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(3*(b*c - a*d)^6*g^4*i^3) - (20*b^2*B^2*d^3*Log[(c + d*x)^(-1)]*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^6*g^4*i^3) + (20*b^2*B^2*d^3*(Log[a + b*x] + Log[(c + d*x)^(-1)] - Log[(e*(a + b*x))/(c + d*x)])*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^6*g^4*i^3) - (20*b^2*B^2*d^3*Log[(e*(a + b*x))/(c + d*x)]*PolyLog[2, 1 + (b*c - a*d)/(d*(a + b*x))])/((b*c - a*d)^6*g^4*i^3) - (20*b^2*B^2*d^3*PolyLog[3, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^6*g^4*i^3) - (20*b^2*B^2*d^3*PolyLog[3, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^6*g^4*i^3) - (20*b^2*B^2*d^3*PolyLog[3, 1 + (b*c - a*d)/(d*(a + b*x))])/((b*c - a*d)^6*g^4*i^3)","C",207,31,42,0.7381,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 6688, 6742, 2411, 2344, 2317, 2507, 2488, 2506, 6610, 2500, 2433, 2375, 2374, 6589, 2440, 2434, 2499, 2396, 2302, 30}"
108,1,243,0,0.3859094,"\int (a g+b g x)^3 (c i+d i x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \, dx","Int[(a*g + b*g*x)^3*(c*i + d*i*x)*(A + B*Log[e*((a + b*x)/(c + d*x))^n]),x]","\frac{g^3 i (a+b x)^4 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{4 b^2}+\frac{d g^3 i (a+b x)^5 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{5 b^2}+\frac{B g^3 i n (a+b x)^2 (b c-a d)^3}{40 b^2 d^2}+\frac{B g^3 i n (b c-a d)^5 \log (c+d x)}{20 b^2 d^4}-\frac{B g^3 i n (a+b x)^3 (b c-a d)^2}{60 b^2 d}-\frac{B g^3 i n (a+b x)^4 (b c-a d)}{20 b^2}-\frac{B g^3 i n x (b c-a d)^4}{20 b d^3}","\frac{g^3 i (a+b x)^4 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A-B n\right)}{20 b^2}+\frac{g^3 i (a+b x)^4 (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{5 b}+\frac{B g^3 i n (a+b x)^2 (b c-a d)^3}{40 b^2 d^2}+\frac{B g^3 i n (b c-a d)^5 \log (c+d x)}{20 b^2 d^4}-\frac{B g^3 i n (a+b x)^3 (b c-a d)^2}{60 b^2 d}-\frac{B g^3 i n x (b c-a d)^4}{20 b d^3}",1,"-(B*(b*c - a*d)^4*g^3*i*n*x)/(20*b*d^3) + (B*(b*c - a*d)^3*g^3*i*n*(a + b*x)^2)/(40*b^2*d^2) - (B*(b*c - a*d)^2*g^3*i*n*(a + b*x)^3)/(60*b^2*d) - (B*(b*c - a*d)*g^3*i*n*(a + b*x)^4)/(20*b^2) + ((b*c - a*d)*g^3*i*(a + b*x)^4*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(4*b^2) + (d*g^3*i*(a + b*x)^5*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(5*b^2) + (B*(b*c - a*d)^5*g^3*i*n*Log[c + d*x])/(20*b^2*d^4)","A",10,4,41,0.09756,1,"{2528, 2525, 12, 43}"
109,1,210,0,0.3157276,"\int (a g+b g x)^2 (c i+d i x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \, dx","Int[(a*g + b*g*x)^2*(c*i + d*i*x)*(A + B*Log[e*((a + b*x)/(c + d*x))^n]),x]","\frac{g^2 i (a+b x)^3 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{3 b^2}+\frac{d g^2 i (a+b x)^4 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{4 b^2}-\frac{B g^2 i n (b c-a d)^4 \log (c+d x)}{12 b^2 d^3}-\frac{B g^2 i n (a+b x)^2 (b c-a d)^2}{24 b^2 d}-\frac{B g^2 i n (a+b x)^3 (b c-a d)}{12 b^2}+\frac{B g^2 i n x (b c-a d)^3}{12 b d^2}","\frac{g^2 i (a+b x)^3 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A-B n\right)}{12 b^2}+\frac{g^2 i (a+b x)^3 (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{4 b}-\frac{B g^2 i n (b c-a d)^4 \log (c+d x)}{12 b^2 d^3}-\frac{B g^2 i n (a+b x)^2 (b c-a d)^2}{24 b^2 d}+\frac{B g^2 i n x (b c-a d)^3}{12 b d^2}",1,"(B*(b*c - a*d)^3*g^2*i*n*x)/(12*b*d^2) - (B*(b*c - a*d)^2*g^2*i*n*(a + b*x)^2)/(24*b^2*d) - (B*(b*c - a*d)*g^2*i*n*(a + b*x)^3)/(12*b^2) + ((b*c - a*d)*g^2*i*(a + b*x)^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(3*b^2) + (d*g^2*i*(a + b*x)^4*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(4*b^2) - (B*(b*c - a*d)^4*g^2*i*n*Log[c + d*x])/(12*b^2*d^3)","A",10,4,41,0.09756,1,"{2528, 2525, 12, 43}"
110,1,311,0,0.3701357,"\int (a g+b g x) (c i+d i x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \, dx","Int[(a*g + b*g*x)*(c*i + d*i*x)*(A + B*Log[e*((a + b*x)/(c + d*x))^n]),x]","-\frac{1}{3} b B d g i n x \left(\frac{a^2}{b^2}-\frac{c^2}{d^2}\right)-\frac{a^2 B g i n (a d+b c) \log (a+b x)}{2 b^2}+\frac{a^3 B d g i n \log (a+b x)}{3 b^2}+\frac{1}{3} b d g i x^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)+\frac{1}{2} g i x^2 (a d+b c) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)+a A c g i x+\frac{B c^2 g i n (a d+b c) \log (c+d x)}{2 d^2}+\frac{a B c g i (a+b x) \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{b}-\frac{1}{6} B g i n x^2 (b c-a d)-\frac{B g i n x (b c-a d) (a d+b c)}{2 b d}-\frac{a B c g i n (b c-a d) \log (c+d x)}{b d}-\frac{b B c^3 g i n \log (c+d x)}{3 d^2}","\frac{g i (a+b x)^2 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A-B n\right)}{6 b^2}+\frac{g i (a+b x)^2 (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{3 b}+\frac{B g i n (b c-a d)^3 \log (c+d x)}{6 b^2 d^2}-\frac{B g i n x (b c-a d)^2}{6 b d}",1,"a*A*c*g*i*x - (b*B*(a^2/b^2 - c^2/d^2)*d*g*i*n*x)/3 - (B*(b*c - a*d)*(b*c + a*d)*g*i*n*x)/(2*b*d) - (B*(b*c - a*d)*g*i*n*x^2)/6 + (a^3*B*d*g*i*n*Log[a + b*x])/(3*b^2) - (a^2*B*(b*c + a*d)*g*i*n*Log[a + b*x])/(2*b^2) + (a*B*c*g*i*(a + b*x)*Log[e*((a + b*x)/(c + d*x))^n])/b + ((b*c + a*d)*g*i*x^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/2 + (b*d*g*i*x^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/3 - (b*B*c^3*g*i*n*Log[c + d*x])/(3*d^2) - (a*B*c*(b*c - a*d)*g*i*n*Log[c + d*x])/(b*d) + (B*c^2*(b*c + a*d)*g*i*n*Log[c + d*x])/(2*d^2)","B",13,6,39,0.1538,1,"{2528, 2486, 31, 2525, 12, 72}"
111,1,86,0,0.0608629,"\int (c i+d i x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \, dx","Int[(c*i + d*i*x)*(A + B*Log[e*((a + b*x)/(c + d*x))^n]),x]","\frac{i (c+d x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 d}-\frac{B i n (b c-a d)^2 \log (a+b x)}{2 b^2 d}-\frac{B i n x (b c-a d)}{2 b}","\frac{i (c+d x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 d}-\frac{B i n (b c-a d)^2 \log (a+b x)}{2 b^2 d}-\frac{B i n x (b c-a d)}{2 b}",1,"-(B*(b*c - a*d)*i*n*x)/(2*b) - (B*(b*c - a*d)^2*i*n*Log[a + b*x])/(2*b^2*d) + (i*(c + d*x)^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(2*d)","A",4,3,31,0.09677,1,"{2525, 12, 43}"
112,1,223,0,0.3447956,"\int \frac{(c i+d i x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{a g+b g x} \, dx","Int[((c*i + d*i*x)*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(a*g + b*g*x),x]","\frac{B i n (b c-a d) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{b^2 g}+\frac{i (b c-a d) \log (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^2 g}+\frac{B d i (a+b x) \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{b^2 g}-\frac{B i n (b c-a d) \log ^2(a+b x)}{2 b^2 g}+\frac{B i n (b c-a d) \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{b^2 g}-\frac{B i n (b c-a d) \log (c+d x)}{b^2 g}+\frac{A d i x}{b g}","\frac{B i n (b c-a d) \text{PolyLog}\left(2,\frac{b c-a d}{d (a+b x)}+1\right)}{b^2 g}-\frac{i (b c-a d) \log \left(-\frac{b c-a d}{d (a+b x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A-B n\right)}{b^2 g}+\frac{i (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b g}",1,"(A*d*i*x)/(b*g) - (B*(b*c - a*d)*i*n*Log[a + b*x]^2)/(2*b^2*g) + (B*d*i*(a + b*x)*Log[e*((a + b*x)/(c + d*x))^n])/(b^2*g) + ((b*c - a*d)*i*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(b^2*g) - (B*(b*c - a*d)*i*n*Log[c + d*x])/(b^2*g) + (B*(b*c - a*d)*i*n*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^2*g) + (B*(b*c - a*d)*i*n*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^2*g)","A",13,10,41,0.2439,1,"{2528, 2486, 31, 2524, 2418, 2390, 2301, 2394, 2393, 2391}"
113,1,233,0,0.3758777,"\int \frac{(c i+d i x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{(a g+b g x)^2} \, dx","Int[((c*i + d*i*x)*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(a*g + b*g*x)^2,x]","\frac{B d i n \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{b^2 g^2}+\frac{d i \log (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^2 g^2}-\frac{i (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^2 g^2 (a+b x)}-\frac{B i n (b c-a d)}{b^2 g^2 (a+b x)}+\frac{B d i n \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{b^2 g^2}-\frac{B d i n \log ^2(a+b x)}{2 b^2 g^2}-\frac{B d i n \log (a+b x)}{b^2 g^2}+\frac{B d i n \log (c+d x)}{b^2 g^2}","\frac{B d i n \text{PolyLog}\left(2,\frac{b (c+d x)}{d (a+b x)}\right)}{b^2 g^2}-\frac{d i \log \left(1-\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^2 g^2}-\frac{i (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b g^2 (a+b x)}-\frac{B i n (c+d x)}{b g^2 (a+b x)}",1,"-((B*(b*c - a*d)*i*n)/(b^2*g^2*(a + b*x))) - (B*d*i*n*Log[a + b*x])/(b^2*g^2) - (B*d*i*n*Log[a + b*x]^2)/(2*b^2*g^2) - ((b*c - a*d)*i*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(b^2*g^2*(a + b*x)) + (d*i*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(b^2*g^2) + (B*d*i*n*Log[c + d*x])/(b^2*g^2) + (B*d*i*n*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^2*g^2) + (B*d*i*n*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^2*g^2)","A",14,11,41,0.2683,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391}"
114,1,201,0,0.285895,"\int \frac{(c i+d i x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{(a g+b g x)^3} \, dx","Int[((c*i + d*i*x)*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(a*g + b*g*x)^3,x]","-\frac{d i \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^2 g^3 (a+b x)}-\frac{i (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 b^2 g^3 (a+b x)^2}-\frac{B d^2 i n \log (a+b x)}{2 b^2 g^3 (b c-a d)}+\frac{B d^2 i n \log (c+d x)}{2 b^2 g^3 (b c-a d)}-\frac{B i n (b c-a d)}{4 b^2 g^3 (a+b x)^2}-\frac{B d i n}{2 b^2 g^3 (a+b x)}","-\frac{i (c+d x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 g^3 (a+b x)^2 (b c-a d)}-\frac{B i n (c+d x)^2}{4 g^3 (a+b x)^2 (b c-a d)}",1,"-(B*(b*c - a*d)*i*n)/(4*b^2*g^3*(a + b*x)^2) - (B*d*i*n)/(2*b^2*g^3*(a + b*x)) - (B*d^2*i*n*Log[a + b*x])/(2*b^2*(b*c - a*d)*g^3) - ((b*c - a*d)*i*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(2*b^2*g^3*(a + b*x)^2) - (d*i*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(b^2*g^3*(a + b*x)) + (B*d^2*i*n*Log[c + d*x])/(2*b^2*(b*c - a*d)*g^3)","B",10,4,41,0.09756,1,"{2528, 2525, 12, 44}"
115,1,236,0,0.3405975,"\int \frac{(c i+d i x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{(a g+b g x)^4} \, dx","Int[((c*i + d*i*x)*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(a*g + b*g*x)^4,x]","-\frac{d i \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 b^2 g^4 (a+b x)^2}-\frac{i (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{3 b^2 g^4 (a+b x)^3}+\frac{B d^2 i n}{6 b^2 g^4 (a+b x) (b c-a d)}+\frac{B d^3 i n \log (a+b x)}{6 b^2 g^4 (b c-a d)^2}-\frac{B d^3 i n \log (c+d x)}{6 b^2 g^4 (b c-a d)^2}-\frac{B i n (b c-a d)}{9 b^2 g^4 (a+b x)^3}-\frac{B d i n}{12 b^2 g^4 (a+b x)^2}","-\frac{b i (c+d x)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{3 g^4 (a+b x)^3 (b c-a d)^2}+\frac{d i (c+d x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 g^4 (a+b x)^2 (b c-a d)^2}-\frac{b B i n (c+d x)^3}{9 g^4 (a+b x)^3 (b c-a d)^2}+\frac{B d i n (c+d x)^2}{4 g^4 (a+b x)^2 (b c-a d)^2}",1,"-(B*(b*c - a*d)*i*n)/(9*b^2*g^4*(a + b*x)^3) - (B*d*i*n)/(12*b^2*g^4*(a + b*x)^2) + (B*d^2*i*n)/(6*b^2*(b*c - a*d)*g^4*(a + b*x)) + (B*d^3*i*n*Log[a + b*x])/(6*b^2*(b*c - a*d)^2*g^4) - ((b*c - a*d)*i*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(3*b^2*g^4*(a + b*x)^3) - (d*i*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(2*b^2*g^4*(a + b*x)^2) - (B*d^3*i*n*Log[c + d*x])/(6*b^2*(b*c - a*d)^2*g^4)","A",10,4,41,0.09756,1,"{2528, 2525, 12, 44}"
116,1,269,0,0.4094607,"\int \frac{(c i+d i x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{(a g+b g x)^5} \, dx","Int[((c*i + d*i*x)*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(a*g + b*g*x)^5,x]","-\frac{d i \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{3 b^2 g^5 (a+b x)^3}-\frac{i (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{4 b^2 g^5 (a+b x)^4}-\frac{B d^3 i n}{12 b^2 g^5 (a+b x) (b c-a d)^2}+\frac{B d^2 i n}{24 b^2 g^5 (a+b x)^2 (b c-a d)}-\frac{B d^4 i n \log (a+b x)}{12 b^2 g^5 (b c-a d)^3}+\frac{B d^4 i n \log (c+d x)}{12 b^2 g^5 (b c-a d)^3}-\frac{B i n (b c-a d)}{16 b^2 g^5 (a+b x)^4}-\frac{B d i n}{36 b^2 g^5 (a+b x)^3}","-\frac{b^2 i (c+d x)^4 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{4 g^5 (a+b x)^4 (b c-a d)^3}-\frac{d^2 i (c+d x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 g^5 (a+b x)^2 (b c-a d)^3}+\frac{2 b d i (c+d x)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{3 g^5 (a+b x)^3 (b c-a d)^3}-\frac{b^2 B i n (c+d x)^4}{16 g^5 (a+b x)^4 (b c-a d)^3}-\frac{B d^2 i n (c+d x)^2}{4 g^5 (a+b x)^2 (b c-a d)^3}+\frac{2 b B d i n (c+d x)^3}{9 g^5 (a+b x)^3 (b c-a d)^3}",1,"-(B*(b*c - a*d)*i*n)/(16*b^2*g^5*(a + b*x)^4) - (B*d*i*n)/(36*b^2*g^5*(a + b*x)^3) + (B*d^2*i*n)/(24*b^2*(b*c - a*d)*g^5*(a + b*x)^2) - (B*d^3*i*n)/(12*b^2*(b*c - a*d)^2*g^5*(a + b*x)) - (B*d^4*i*n*Log[a + b*x])/(12*b^2*(b*c - a*d)^3*g^5) - ((b*c - a*d)*i*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(4*b^2*g^5*(a + b*x)^4) - (d*i*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(3*b^2*g^5*(a + b*x)^3) + (B*d^4*i*n*Log[c + d*x])/(12*b^2*(b*c - a*d)^3*g^5)","A",10,4,41,0.09756,1,"{2528, 2525, 12, 44}"
117,1,345,0,0.6850449,"\int (a g+b g x)^3 (c i+d i x)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \, dx","Int[(a*g + b*g*x)^3*(c*i + d*i*x)^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]),x]","\frac{d^2 g^3 i^2 (a+b x)^6 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{6 b^3}+\frac{g^3 i^2 (a+b x)^4 (b c-a d)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{4 b^3}+\frac{2 d g^3 i^2 (a+b x)^5 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{5 b^3}-\frac{B g^3 i^2 n x (b c-a d)^5}{60 b^2 d^3}+\frac{B g^3 i^2 n (a+b x)^2 (b c-a d)^4}{120 b^3 d^2}+\frac{B g^3 i^2 n (b c-a d)^6 \log (c+d x)}{60 b^3 d^4}-\frac{B g^3 i^2 n (a+b x)^3 (b c-a d)^3}{180 b^3 d}-\frac{7 B g^3 i^2 n (a+b x)^4 (b c-a d)^2}{120 b^3}-\frac{B d g^3 i^2 n (a+b x)^5 (b c-a d)}{30 b^3}","-\frac{3 b^2 g^3 i^2 (c+d x)^5 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{5 d^4}+\frac{b^3 g^3 i^2 (c+d x)^6 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{6 d^4}-\frac{g^3 i^2 (c+d x)^3 (b c-a d)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{3 d^4}+\frac{3 b g^3 i^2 (c+d x)^4 (b c-a d)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{4 d^4}+\frac{B g^3 i^2 n x (b c-a d)^5}{60 b^2 d^3}-\frac{b^2 B g^3 i^2 n (c+d x)^5 (b c-a d)}{30 d^4}+\frac{B g^3 i^2 n (b c-a d)^6 \log \left(\frac{a+b x}{c+d x}\right)}{60 b^3 d^4}+\frac{B g^3 i^2 n (b c-a d)^6 \log (c+d x)}{60 b^3 d^4}+\frac{B g^3 i^2 n (c+d x)^2 (b c-a d)^4}{120 b d^4}-\frac{19 B g^3 i^2 n (c+d x)^3 (b c-a d)^3}{180 d^4}+\frac{13 b B g^3 i^2 n (c+d x)^4 (b c-a d)^2}{120 d^4}",1,"-(B*(b*c - a*d)^5*g^3*i^2*n*x)/(60*b^2*d^3) + (B*(b*c - a*d)^4*g^3*i^2*n*(a + b*x)^2)/(120*b^3*d^2) - (B*(b*c - a*d)^3*g^3*i^2*n*(a + b*x)^3)/(180*b^3*d) - (7*B*(b*c - a*d)^2*g^3*i^2*n*(a + b*x)^4)/(120*b^3) - (B*d*(b*c - a*d)*g^3*i^2*n*(a + b*x)^5)/(30*b^3) + ((b*c - a*d)^2*g^3*i^2*(a + b*x)^4*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(4*b^3) + (2*d*(b*c - a*d)*g^3*i^2*(a + b*x)^5*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(5*b^3) + (d^2*g^3*i^2*(a + b*x)^6*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(6*b^3) + (B*(b*c - a*d)^6*g^3*i^2*n*Log[c + d*x])/(60*b^3*d^4)","A",14,4,43,0.09302,1,"{2528, 2525, 12, 43}"
118,1,310,0,0.5431955,"\int (a g+b g x)^2 (c i+d i x)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \, dx","Int[(a*g + b*g*x)^2*(c*i + d*i*x)^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]),x]","\frac{d^2 g^2 i^2 (a+b x)^5 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{5 b^3}+\frac{g^2 i^2 (a+b x)^3 (b c-a d)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{3 b^3}+\frac{d g^2 i^2 (a+b x)^4 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 b^3}+\frac{B g^2 i^2 n x (b c-a d)^4}{30 b^2 d^2}-\frac{B g^2 i^2 n (b c-a d)^5 \log (c+d x)}{30 b^3 d^3}-\frac{B g^2 i^2 n (a+b x)^2 (b c-a d)^3}{60 b^3 d}-\frac{B g^2 i^2 n (a+b x)^3 (b c-a d)^2}{10 b^3}-\frac{B d g^2 i^2 n (a+b x)^4 (b c-a d)}{20 b^3}","\frac{b^2 g^2 i^2 (c+d x)^5 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{5 d^3}+\frac{g^2 i^2 (c+d x)^3 (b c-a d)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{3 d^3}-\frac{b g^2 i^2 (c+d x)^4 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 d^3}-\frac{B g^2 i^2 n x (b c-a d)^4}{30 b^2 d^2}-\frac{B g^2 i^2 n (b c-a d)^5 \log \left(\frac{a+b x}{c+d x}\right)}{30 b^3 d^3}-\frac{B g^2 i^2 n (b c-a d)^5 \log (c+d x)}{30 b^3 d^3}-\frac{B g^2 i^2 n (c+d x)^2 (b c-a d)^3}{60 b d^3}+\frac{B g^2 i^2 n (c+d x)^3 (b c-a d)^2}{10 d^3}-\frac{b B g^2 i^2 n (c+d x)^4 (b c-a d)}{20 d^3}",1,"(B*(b*c - a*d)^4*g^2*i^2*n*x)/(30*b^2*d^2) - (B*(b*c - a*d)^3*g^2*i^2*n*(a + b*x)^2)/(60*b^3*d) - (B*(b*c - a*d)^2*g^2*i^2*n*(a + b*x)^3)/(10*b^3) - (B*d*(b*c - a*d)*g^2*i^2*n*(a + b*x)^4)/(20*b^3) + ((b*c - a*d)^2*g^2*i^2*(a + b*x)^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(3*b^3) + (d*(b*c - a*d)*g^2*i^2*(a + b*x)^4*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(2*b^3) + (d^2*g^2*i^2*(a + b*x)^5*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(5*b^3) - (B*(b*c - a*d)^5*g^2*i^2*n*Log[c + d*x])/(30*b^3*d^3)","A",14,4,43,0.09302,1,"{2528, 2525, 12, 43}"
119,1,210,0,0.3546762,"\int (a g+b g x) (c i+d i x)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \, dx","Int[(a*g + b*g*x)*(c*i + d*i*x)^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]),x]","-\frac{g i^2 (c+d x)^3 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{3 d^2}+\frac{b g i^2 (c+d x)^4 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{4 d^2}+\frac{B g i^2 n (b c-a d)^4 \log (a+b x)}{12 b^3 d^2}+\frac{B g i^2 n x (b c-a d)^3}{12 b^2 d}+\frac{B g i^2 n (c+d x)^2 (b c-a d)^2}{24 b d^2}-\frac{B g i^2 n (c+d x)^3 (b c-a d)}{12 d^2}","-\frac{g i^2 (c+d x)^3 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{3 d^2}+\frac{b g i^2 (c+d x)^4 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{4 d^2}+\frac{B g i^2 n (b c-a d)^4 \log \left(\frac{a+b x}{c+d x}\right)}{12 b^3 d^2}+\frac{B g i^2 n (b c-a d)^4 \log (c+d x)}{12 b^3 d^2}+\frac{B g i^2 n x (b c-a d)^3}{12 b^2 d}+\frac{B g i^2 n (c+d x)^2 (b c-a d)^2}{24 b d^2}-\frac{B g i^2 n (c+d x)^3 (b c-a d)}{12 d^2}",1,"(B*(b*c - a*d)^3*g*i^2*n*x)/(12*b^2*d) + (B*(b*c - a*d)^2*g*i^2*n*(c + d*x)^2)/(24*b*d^2) - (B*(b*c - a*d)*g*i^2*n*(c + d*x)^3)/(12*d^2) + (B*(b*c - a*d)^4*g*i^2*n*Log[a + b*x])/(12*b^3*d^2) - ((b*c - a*d)*g*i^2*(c + d*x)^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(3*d^2) + (b*g*i^2*(c + d*x)^4*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(4*d^2)","A",10,4,41,0.09756,1,"{2528, 2525, 12, 43}"
120,1,124,0,0.07449,"\int (c i+d i x)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \, dx","Int[(c*i + d*i*x)^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]),x]","\frac{i^2 (c+d x)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{3 d}-\frac{B i^2 n x (b c-a d)^2}{3 b^2}-\frac{B i^2 n (b c-a d)^3 \log (a+b x)}{3 b^3 d}-\frac{B i^2 n (c+d x)^2 (b c-a d)}{6 b d}","\frac{i^2 (c+d x)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{3 d}-\frac{B i^2 n x (b c-a d)^2}{3 b^2}-\frac{B i^2 n (b c-a d)^3 \log (a+b x)}{3 b^3 d}-\frac{B i^2 n (c+d x)^2 (b c-a d)}{6 b d}",1,"-(B*(b*c - a*d)^2*i^2*n*x)/(3*b^2) - (B*(b*c - a*d)*i^2*n*(c + d*x)^2)/(6*b*d) - (B*(b*c - a*d)^3*i^2*n*Log[a + b*x])/(3*b^3*d) + (i^2*(c + d*x)^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(3*d)","A",4,3,33,0.09091,1,"{2525, 12, 43}"
121,1,369,0,0.4894958,"\int \frac{(c i+d i x)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{a g+b g x} \, dx","Int[((c*i + d*i*x)^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(a*g + b*g*x),x]","\frac{B i^2 n (b c-a d)^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{b^3 g}+\frac{i^2 (b c-a d)^2 \log (a g+b g x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^3 g}+\frac{A d i^2 x (b c-a d)}{b^2 g}+\frac{i^2 (c+d x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 b g}+\frac{B d i^2 (a+b x) (b c-a d) \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{b^3 g}-\frac{B d i^2 n x (b c-a d)}{2 b^2 g}-\frac{B i^2 n (b c-a d)^2 \log ^2(g (a+b x))}{2 b^3 g}-\frac{B i^2 n (b c-a d)^2 \log (a+b x)}{2 b^3 g}-\frac{B i^2 n (b c-a d)^2 \log (c+d x)}{b^3 g}+\frac{B i^2 n (b c-a d)^2 \log (a g+b g x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{b^3 g}","\frac{B i^2 n (b c-a d)^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{d (a+b x)}\right)}{b^3 g}+\frac{d i^2 (a+b x) (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^3 g}-\frac{i^2 (b c-a d)^2 \log \left(1-\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^3 g}+\frac{i^2 (c+d x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 b g}-\frac{B d i^2 n x (b c-a d)}{2 b^2 g}-\frac{B i^2 n (b c-a d)^2 \log \left(\frac{a+b x}{c+d x}\right)}{2 b^3 g}-\frac{3 B i^2 n (b c-a d)^2 \log (c+d x)}{2 b^3 g}",1,"(A*d*(b*c - a*d)*i^2*x)/(b^2*g) - (B*d*(b*c - a*d)*i^2*n*x)/(2*b^2*g) - (B*(b*c - a*d)^2*i^2*n*Log[a + b*x])/(2*b^3*g) - (B*(b*c - a*d)^2*i^2*n*Log[g*(a + b*x)]^2)/(2*b^3*g) + (B*d*(b*c - a*d)*i^2*(a + b*x)*Log[e*((a + b*x)/(c + d*x))^n])/(b^3*g) + (i^2*(c + d*x)^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(2*b*g) - (B*(b*c - a*d)^2*i^2*n*Log[c + d*x])/(b^3*g) + ((b*c - a*d)^2*i^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[a*g + b*g*x])/(b^3*g) + (B*(b*c - a*d)^2*i^2*n*Log[(b*(c + d*x))/(b*c - a*d)]*Log[a*g + b*g*x])/(b^3*g) + (B*(b*c - a*d)^2*i^2*n*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^3*g)","A",18,13,43,0.3023,1,"{2528, 2486, 31, 2524, 2418, 2390, 12, 2301, 2394, 2393, 2391, 2525, 43}"
122,1,327,0,0.522551,"\int \frac{(c i+d i x)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{(a g+b g x)^2} \, dx","Int[((c*i + d*i*x)^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(a*g + b*g*x)^2,x]","\frac{2 B d i^2 n (b c-a d) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{b^3 g^2}+\frac{2 d i^2 (b c-a d) \log (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^3 g^2}-\frac{i^2 (b c-a d)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^3 g^2 (a+b x)}+\frac{B d^2 i^2 (a+b x) \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{b^3 g^2}-\frac{B i^2 n (b c-a d)^2}{b^3 g^2 (a+b x)}-\frac{B d i^2 n (b c-a d) \log ^2(a+b x)}{b^3 g^2}-\frac{B d i^2 n (b c-a d) \log (a+b x)}{b^3 g^2}+\frac{2 B d i^2 n (b c-a d) \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{b^3 g^2}+\frac{A d^2 i^2 x}{b^2 g^2}","\frac{2 B d i^2 n (b c-a d) \text{PolyLog}\left(2,\frac{b (c+d x)}{d (a+b x)}\right)}{b^3 g^2}+\frac{d^2 i^2 (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^3 g^2}-\frac{i^2 (c+d x) (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^2 g^2 (a+b x)}-\frac{2 d i^2 (b c-a d) \log \left(1-\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^3 g^2}-\frac{B i^2 n (c+d x) (b c-a d)}{b^2 g^2 (a+b x)}-\frac{B d i^2 n (b c-a d) \log (c+d x)}{b^3 g^2}",1,"(A*d^2*i^2*x)/(b^2*g^2) - (B*(b*c - a*d)^2*i^2*n)/(b^3*g^2*(a + b*x)) - (B*d*(b*c - a*d)*i^2*n*Log[a + b*x])/(b^3*g^2) - (B*d*(b*c - a*d)*i^2*n*Log[a + b*x]^2)/(b^3*g^2) + (B*d^2*i^2*(a + b*x)*Log[e*((a + b*x)/(c + d*x))^n])/(b^3*g^2) - ((b*c - a*d)^2*i^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(b^3*g^2*(a + b*x)) + (2*d*(b*c - a*d)*i^2*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(b^3*g^2) + (2*B*d*(b*c - a*d)*i^2*n*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^3*g^2) + (2*B*d*(b*c - a*d)*i^2*n*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^3*g^2)","A",17,13,43,0.3023,1,"{2528, 2486, 31, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391}"
123,1,354,0,0.560004,"\int \frac{(c i+d i x)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{(a g+b g x)^3} \, dx","Int[((c*i + d*i*x)^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(a*g + b*g*x)^3,x]","\frac{B d^2 i^2 n \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{b^3 g^3}+\frac{d^2 i^2 \log (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^3 g^3}-\frac{2 d i^2 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^3 g^3 (a+b x)}-\frac{i^2 (b c-a d)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 b^3 g^3 (a+b x)^2}+\frac{B d^2 i^2 n \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{b^3 g^3}-\frac{3 B d i^2 n (b c-a d)}{2 b^3 g^3 (a+b x)}-\frac{B i^2 n (b c-a d)^2}{4 b^3 g^3 (a+b x)^2}-\frac{B d^2 i^2 n \log ^2(a+b x)}{2 b^3 g^3}-\frac{3 B d^2 i^2 n \log (a+b x)}{2 b^3 g^3}+\frac{3 B d^2 i^2 n \log (c+d x)}{2 b^3 g^3}","\frac{B d^2 i^2 n \text{PolyLog}\left(2,\frac{b (c+d x)}{d (a+b x)}\right)}{b^3 g^3}-\frac{d^2 i^2 \log \left(1-\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^3 g^3}-\frac{d i^2 (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^2 g^3 (a+b x)}-\frac{i^2 (c+d x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 b g^3 (a+b x)^2}-\frac{B d i^2 n (c+d x)}{b^2 g^3 (a+b x)}-\frac{B i^2 n (c+d x)^2}{4 b g^3 (a+b x)^2}",1,"-(B*(b*c - a*d)^2*i^2*n)/(4*b^3*g^3*(a + b*x)^2) - (3*B*d*(b*c - a*d)*i^2*n)/(2*b^3*g^3*(a + b*x)) - (3*B*d^2*i^2*n*Log[a + b*x])/(2*b^3*g^3) - (B*d^2*i^2*n*Log[a + b*x]^2)/(2*b^3*g^3) - ((b*c - a*d)^2*i^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(2*b^3*g^3*(a + b*x)^2) - (2*d*(b*c - a*d)*i^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(b^3*g^3*(a + b*x)) + (d^2*i^2*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(b^3*g^3) + (3*B*d^2*i^2*n*Log[c + d*x])/(2*b^3*g^3) + (B*d^2*i^2*n*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^3*g^3) + (B*d^2*i^2*n*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^3*g^3)","A",18,11,43,0.2558,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391}"
124,1,301,0,0.5159305,"\int \frac{(c i+d i x)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{(a g+b g x)^4} \, dx","Int[((c*i + d*i*x)^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(a*g + b*g*x)^4,x]","-\frac{d^2 i^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^3 g^4 (a+b x)}-\frac{d i^2 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^3 g^4 (a+b x)^2}-\frac{i^2 (b c-a d)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{3 b^3 g^4 (a+b x)^3}-\frac{B d^3 i^2 n \log (a+b x)}{3 b^3 g^4 (b c-a d)}+\frac{B d^3 i^2 n \log (c+d x)}{3 b^3 g^4 (b c-a d)}-\frac{B d i^2 n (b c-a d)}{3 b^3 g^4 (a+b x)^2}-\frac{B i^2 n (b c-a d)^2}{9 b^3 g^4 (a+b x)^3}-\frac{B d^2 i^2 n}{3 b^3 g^4 (a+b x)}","-\frac{i^2 (c+d x)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{3 g^4 (a+b x)^3 (b c-a d)}-\frac{B i^2 n (c+d x)^3}{9 g^4 (a+b x)^3 (b c-a d)}",1,"-(B*(b*c - a*d)^2*i^2*n)/(9*b^3*g^4*(a + b*x)^3) - (B*d*(b*c - a*d)*i^2*n)/(3*b^3*g^4*(a + b*x)^2) - (B*d^2*i^2*n)/(3*b^3*g^4*(a + b*x)) - (B*d^3*i^2*n*Log[a + b*x])/(3*b^3*(b*c - a*d)*g^4) - ((b*c - a*d)^2*i^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(3*b^3*g^4*(a + b*x)^3) - (d*(b*c - a*d)*i^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(b^3*g^4*(a + b*x)^2) - (d^2*i^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(b^3*g^4*(a + b*x)) + (B*d^3*i^2*n*Log[c + d*x])/(3*b^3*(b*c - a*d)*g^4)","B",14,4,43,0.09302,1,"{2528, 2525, 12, 44}"
125,1,340,0,0.6001802,"\int \frac{(c i+d i x)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{(a g+b g x)^5} \, dx","Int[((c*i + d*i*x)^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(a*g + b*g*x)^5,x]","-\frac{d^2 i^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 b^3 g^5 (a+b x)^2}-\frac{2 d i^2 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{3 b^3 g^5 (a+b x)^3}-\frac{i^2 (b c-a d)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{4 b^3 g^5 (a+b x)^4}+\frac{B d^3 i^2 n}{12 b^3 g^5 (a+b x) (b c-a d)}+\frac{B d^4 i^2 n \log (a+b x)}{12 b^3 g^5 (b c-a d)^2}-\frac{B d^4 i^2 n \log (c+d x)}{12 b^3 g^5 (b c-a d)^2}-\frac{5 B d i^2 n (b c-a d)}{36 b^3 g^5 (a+b x)^3}-\frac{B i^2 n (b c-a d)^2}{16 b^3 g^5 (a+b x)^4}-\frac{B d^2 i^2 n}{24 b^3 g^5 (a+b x)^2}","-\frac{b i^2 (c+d x)^4 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{4 g^5 (a+b x)^4 (b c-a d)^2}+\frac{d i^2 (c+d x)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{3 g^5 (a+b x)^3 (b c-a d)^2}-\frac{b B i^2 n (c+d x)^4}{16 g^5 (a+b x)^4 (b c-a d)^2}+\frac{B d i^2 n (c+d x)^3}{9 g^5 (a+b x)^3 (b c-a d)^2}",1,"-(B*(b*c - a*d)^2*i^2*n)/(16*b^3*g^5*(a + b*x)^4) - (5*B*d*(b*c - a*d)*i^2*n)/(36*b^3*g^5*(a + b*x)^3) - (B*d^2*i^2*n)/(24*b^3*g^5*(a + b*x)^2) + (B*d^3*i^2*n)/(12*b^3*(b*c - a*d)*g^5*(a + b*x)) + (B*d^4*i^2*n*Log[a + b*x])/(12*b^3*(b*c - a*d)^2*g^5) - ((b*c - a*d)^2*i^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(4*b^3*g^5*(a + b*x)^4) - (2*d*(b*c - a*d)*i^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(3*b^3*g^5*(a + b*x)^3) - (d^2*i^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(2*b^3*g^5*(a + b*x)^2) - (B*d^4*i^2*n*Log[c + d*x])/(12*b^3*(b*c - a*d)^2*g^5)","A",14,4,43,0.09302,1,"{2528, 2525, 12, 44}"
126,1,375,0,0.7208671,"\int \frac{(c i+d i x)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{(a g+b g x)^6} \, dx","Int[((c*i + d*i*x)^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(a*g + b*g*x)^6,x]","-\frac{d^2 i^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{3 b^3 g^6 (a+b x)^3}-\frac{d i^2 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 b^3 g^6 (a+b x)^4}-\frac{i^2 (b c-a d)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{5 b^3 g^6 (a+b x)^5}-\frac{B d^4 i^2 n}{30 b^3 g^6 (a+b x) (b c-a d)^2}+\frac{B d^3 i^2 n}{60 b^3 g^6 (a+b x)^2 (b c-a d)}-\frac{B d^5 i^2 n \log (a+b x)}{30 b^3 g^6 (b c-a d)^3}+\frac{B d^5 i^2 n \log (c+d x)}{30 b^3 g^6 (b c-a d)^3}-\frac{3 B d i^2 n (b c-a d)}{40 b^3 g^6 (a+b x)^4}-\frac{B i^2 n (b c-a d)^2}{25 b^3 g^6 (a+b x)^5}-\frac{B d^2 i^2 n}{90 b^3 g^6 (a+b x)^3}","-\frac{b^2 i^2 (c+d x)^5 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{5 g^6 (a+b x)^5 (b c-a d)^3}-\frac{d^2 i^2 (c+d x)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{3 g^6 (a+b x)^3 (b c-a d)^3}+\frac{b d i^2 (c+d x)^4 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 g^6 (a+b x)^4 (b c-a d)^3}-\frac{b^2 B i^2 n (c+d x)^5}{25 g^6 (a+b x)^5 (b c-a d)^3}-\frac{B d^2 i^2 n (c+d x)^3}{9 g^6 (a+b x)^3 (b c-a d)^3}+\frac{b B d i^2 n (c+d x)^4}{8 g^6 (a+b x)^4 (b c-a d)^3}",1,"-(B*(b*c - a*d)^2*i^2*n)/(25*b^3*g^6*(a + b*x)^5) - (3*B*d*(b*c - a*d)*i^2*n)/(40*b^3*g^6*(a + b*x)^4) - (B*d^2*i^2*n)/(90*b^3*g^6*(a + b*x)^3) + (B*d^3*i^2*n)/(60*b^3*(b*c - a*d)*g^6*(a + b*x)^2) - (B*d^4*i^2*n)/(30*b^3*(b*c - a*d)^2*g^6*(a + b*x)) - (B*d^5*i^2*n*Log[a + b*x])/(30*b^3*(b*c - a*d)^3*g^6) - ((b*c - a*d)^2*i^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(5*b^3*g^6*(a + b*x)^5) - (d*(b*c - a*d)*i^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(2*b^3*g^6*(a + b*x)^4) - (d^2*i^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(3*b^3*g^6*(a + b*x)^3) + (B*d^5*i^2*n*Log[c + d*x])/(30*b^3*(b*c - a*d)^3*g^6)","A",14,4,43,0.09302,1,"{2528, 2525, 12, 44}"
127,1,435,0,0.9915024,"\int (a g+b g x)^3 (c i+d i x)^3 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \, dx","Int[(a*g + b*g*x)^3*(c*i + d*i*x)^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n]),x]","\frac{d^2 g^3 i^3 (a+b x)^6 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 b^4}+\frac{d^3 g^3 i^3 (a+b x)^7 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{7 b^4}+\frac{g^3 i^3 (a+b x)^4 (b c-a d)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{4 b^4}+\frac{3 d g^3 i^3 (a+b x)^5 (b c-a d)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{5 b^4}-\frac{B g^3 i^3 n x (b c-a d)^6}{140 b^3 d^3}+\frac{B g^3 i^3 n (a+b x)^2 (b c-a d)^5}{280 b^4 d^2}-\frac{B d^2 g^3 i^3 n (a+b x)^6 (b c-a d)}{42 b^4}+\frac{B g^3 i^3 n (b c-a d)^7 \log (c+d x)}{140 b^4 d^4}-\frac{B g^3 i^3 n (a+b x)^3 (b c-a d)^4}{420 b^4 d}-\frac{17 B g^3 i^3 n (a+b x)^4 (b c-a d)^3}{280 b^4}-\frac{B d g^3 i^3 n (a+b x)^5 (b c-a d)^2}{14 b^4}","-\frac{b^2 g^3 i^3 (c+d x)^6 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 d^4}+\frac{b^3 g^3 i^3 (c+d x)^7 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{7 d^4}-\frac{g^3 i^3 (c+d x)^4 (b c-a d)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{4 d^4}+\frac{3 b g^3 i^3 (c+d x)^5 (b c-a d)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{5 d^4}+\frac{B g^3 i^3 n x (b c-a d)^6}{140 b^3 d^3}+\frac{B g^3 i^3 n (c+d x)^2 (b c-a d)^5}{280 b^2 d^4}-\frac{b^2 B g^3 i^3 n (c+d x)^6 (b c-a d)}{42 d^4}+\frac{B g^3 i^3 n (b c-a d)^7 \log \left(\frac{a+b x}{c+d x}\right)}{140 b^4 d^4}+\frac{B g^3 i^3 n (b c-a d)^7 \log (c+d x)}{140 b^4 d^4}+\frac{B g^3 i^3 n (c+d x)^3 (b c-a d)^4}{420 b d^4}-\frac{17 B g^3 i^3 n (c+d x)^4 (b c-a d)^3}{280 d^4}+\frac{b B g^3 i^3 n (c+d x)^5 (b c-a d)^2}{14 d^4}",1,"-(B*(b*c - a*d)^6*g^3*i^3*n*x)/(140*b^3*d^3) + (B*(b*c - a*d)^5*g^3*i^3*n*(a + b*x)^2)/(280*b^4*d^2) - (B*(b*c - a*d)^4*g^3*i^3*n*(a + b*x)^3)/(420*b^4*d) - (17*B*(b*c - a*d)^3*g^3*i^3*n*(a + b*x)^4)/(280*b^4) - (B*d*(b*c - a*d)^2*g^3*i^3*n*(a + b*x)^5)/(14*b^4) - (B*d^2*(b*c - a*d)*g^3*i^3*n*(a + b*x)^6)/(42*b^4) + ((b*c - a*d)^3*g^3*i^3*(a + b*x)^4*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(4*b^4) + (3*d*(b*c - a*d)^2*g^3*i^3*(a + b*x)^5*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(5*b^4) + (d^2*(b*c - a*d)*g^3*i^3*(a + b*x)^6*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(2*b^4) + (d^3*g^3*i^3*(a + b*x)^7*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(7*b^4) + (B*(b*c - a*d)^7*g^3*i^3*n*Log[c + d*x])/(140*b^4*d^4)","A",18,4,43,0.09302,1,"{2528, 2525, 12, 43}"
128,1,345,0,0.6996639,"\int (a g+b g x)^2 (c i+d i x)^3 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \, dx","Int[(a*g + b*g*x)^2*(c*i + d*i*x)^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n]),x]","\frac{b^2 g^2 i^3 (c+d x)^6 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{6 d^3}+\frac{g^2 i^3 (c+d x)^4 (b c-a d)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{4 d^3}-\frac{2 b g^2 i^3 (c+d x)^5 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{5 d^3}-\frac{B g^2 i^3 n x (b c-a d)^5}{60 b^3 d^2}-\frac{B g^2 i^3 n (c+d x)^2 (b c-a d)^4}{120 b^2 d^3}-\frac{B g^2 i^3 n (b c-a d)^6 \log (a+b x)}{60 b^4 d^3}-\frac{B g^2 i^3 n (c+d x)^3 (b c-a d)^3}{180 b d^3}+\frac{7 B g^2 i^3 n (c+d x)^4 (b c-a d)^2}{120 d^3}-\frac{b B g^2 i^3 n (c+d x)^5 (b c-a d)}{30 d^3}","\frac{b^2 g^2 i^3 (c+d x)^6 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{6 d^3}+\frac{g^2 i^3 (c+d x)^4 (b c-a d)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{4 d^3}-\frac{2 b g^2 i^3 (c+d x)^5 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{5 d^3}-\frac{B g^2 i^3 n x (b c-a d)^5}{60 b^3 d^2}-\frac{B g^2 i^3 n (c+d x)^2 (b c-a d)^4}{120 b^2 d^3}-\frac{B g^2 i^3 n (b c-a d)^6 \log \left(\frac{a+b x}{c+d x}\right)}{60 b^4 d^3}-\frac{B g^2 i^3 n (b c-a d)^6 \log (c+d x)}{60 b^4 d^3}-\frac{B g^2 i^3 n (c+d x)^3 (b c-a d)^3}{180 b d^3}+\frac{7 B g^2 i^3 n (c+d x)^4 (b c-a d)^2}{120 d^3}-\frac{b B g^2 i^3 n (c+d x)^5 (b c-a d)}{30 d^3}",1,"-(B*(b*c - a*d)^5*g^2*i^3*n*x)/(60*b^3*d^2) - (B*(b*c - a*d)^4*g^2*i^3*n*(c + d*x)^2)/(120*b^2*d^3) - (B*(b*c - a*d)^3*g^2*i^3*n*(c + d*x)^3)/(180*b*d^3) + (7*B*(b*c - a*d)^2*g^2*i^3*n*(c + d*x)^4)/(120*d^3) - (b*B*(b*c - a*d)*g^2*i^3*n*(c + d*x)^5)/(30*d^3) - (B*(b*c - a*d)^6*g^2*i^3*n*Log[a + b*x])/(60*b^4*d^3) + ((b*c - a*d)^2*g^2*i^3*(c + d*x)^4*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(4*d^3) - (2*b*(b*c - a*d)*g^2*i^3*(c + d*x)^5*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(5*d^3) + (b^2*g^2*i^3*(c + d*x)^6*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(6*d^3)","A",14,4,43,0.09302,1,"{2528, 2525, 12, 43}"
129,1,243,0,0.3816631,"\int (a g+b g x) (c i+d i x)^3 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \, dx","Int[(a*g + b*g*x)*(c*i + d*i*x)^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n]),x]","-\frac{g i^3 (c+d x)^4 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{4 d^2}+\frac{b g i^3 (c+d x)^5 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{5 d^2}+\frac{B g i^3 n (c+d x)^2 (b c-a d)^3}{40 b^2 d^2}+\frac{B g i^3 n (b c-a d)^5 \log (a+b x)}{20 b^4 d^2}+\frac{B g i^3 n x (b c-a d)^4}{20 b^3 d}+\frac{B g i^3 n (c+d x)^3 (b c-a d)^2}{60 b d^2}-\frac{B g i^3 n (c+d x)^4 (b c-a d)}{20 d^2}","-\frac{g i^3 (c+d x)^4 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{4 d^2}+\frac{b g i^3 (c+d x)^5 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{5 d^2}+\frac{B g i^3 n (c+d x)^2 (b c-a d)^3}{40 b^2 d^2}+\frac{B g i^3 n (b c-a d)^5 \log \left(\frac{a+b x}{c+d x}\right)}{20 b^4 d^2}+\frac{B g i^3 n (b c-a d)^5 \log (c+d x)}{20 b^4 d^2}+\frac{B g i^3 n x (b c-a d)^4}{20 b^3 d}+\frac{B g i^3 n (c+d x)^3 (b c-a d)^2}{60 b d^2}-\frac{B g i^3 n (c+d x)^4 (b c-a d)}{20 d^2}",1,"(B*(b*c - a*d)^4*g*i^3*n*x)/(20*b^3*d) + (B*(b*c - a*d)^3*g*i^3*n*(c + d*x)^2)/(40*b^2*d^2) + (B*(b*c - a*d)^2*g*i^3*n*(c + d*x)^3)/(60*b*d^2) - (B*(b*c - a*d)*g*i^3*n*(c + d*x)^4)/(20*d^2) + (B*(b*c - a*d)^5*g*i^3*n*Log[a + b*x])/(20*b^4*d^2) - ((b*c - a*d)*g*i^3*(c + d*x)^4*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(4*d^2) + (b*g*i^3*(c + d*x)^5*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(5*d^2)","A",10,4,41,0.09756,1,"{2528, 2525, 12, 43}"
130,1,156,0,0.0859817,"\int (c i+d i x)^3 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \, dx","Int[(c*i + d*i*x)^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n]),x]","\frac{i^3 (c+d x)^4 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{4 d}-\frac{B i^3 n x (b c-a d)^3}{4 b^3}-\frac{B i^3 n (c+d x)^2 (b c-a d)^2}{8 b^2 d}-\frac{B i^3 n (b c-a d)^4 \log (a+b x)}{4 b^4 d}-\frac{B i^3 n (c+d x)^3 (b c-a d)}{12 b d}","\frac{i^3 (c+d x)^4 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{4 d}-\frac{B i^3 n x (b c-a d)^3}{4 b^3}-\frac{B i^3 n (c+d x)^2 (b c-a d)^2}{8 b^2 d}-\frac{B i^3 n (b c-a d)^4 \log (a+b x)}{4 b^4 d}-\frac{B i^3 n (c+d x)^3 (b c-a d)}{12 b d}",1,"-(B*(b*c - a*d)^3*i^3*n*x)/(4*b^3) - (B*(b*c - a*d)^2*i^3*n*(c + d*x)^2)/(8*b^2*d) - (B*(b*c - a*d)*i^3*n*(c + d*x)^3)/(12*b*d) - (B*(b*c - a*d)^4*i^3*n*Log[a + b*x])/(4*b^4*d) + (i^3*(c + d*x)^4*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(4*d)","A",4,3,33,0.09091,1,"{2525, 12, 43}"
131,1,455,0,0.6001664,"\int \frac{(c i+d i x)^3 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{a g+b g x} \, dx","Int[((c*i + d*i*x)^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(a*g + b*g*x),x]","\frac{B i^3 n (b c-a d)^3 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{b^4 g}+\frac{i^3 (c+d x)^2 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 b^2 g}+\frac{i^3 (b c-a d)^3 \log (a g+b g x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^4 g}+\frac{A d i^3 x (b c-a d)^2}{b^3 g}+\frac{i^3 (c+d x)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{3 b g}+\frac{B d i^3 (a+b x) (b c-a d)^2 \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{b^4 g}-\frac{B i^3 n (c+d x)^2 (b c-a d)}{6 b^2 g}-\frac{5 B d i^3 n x (b c-a d)^2}{6 b^3 g}-\frac{B i^3 n (b c-a d)^3 \log ^2(g (a+b x))}{2 b^4 g}-\frac{5 B i^3 n (b c-a d)^3 \log (a+b x)}{6 b^4 g}-\frac{B i^3 n (b c-a d)^3 \log (c+d x)}{b^4 g}+\frac{B i^3 n (b c-a d)^3 \log (a g+b g x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{b^4 g}","\frac{B i^3 n (b c-a d)^3 \text{PolyLog}\left(2,\frac{b (c+d x)}{d (a+b x)}\right)}{b^4 g}+\frac{i^3 (c+d x)^2 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 b^2 g}+\frac{d i^3 (a+b x) (b c-a d)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^4 g}-\frac{i^3 (b c-a d)^3 \log \left(1-\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^4 g}+\frac{i^3 (c+d x)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{3 b g}-\frac{B i^3 n (c+d x)^2 (b c-a d)}{6 b^2 g}-\frac{5 B d i^3 n x (b c-a d)^2}{6 b^3 g}-\frac{5 B i^3 n (b c-a d)^3 \log \left(\frac{a+b x}{c+d x}\right)}{6 b^4 g}-\frac{11 B i^3 n (b c-a d)^3 \log (c+d x)}{6 b^4 g}",1,"(A*d*(b*c - a*d)^2*i^3*x)/(b^3*g) - (5*B*d*(b*c - a*d)^2*i^3*n*x)/(6*b^3*g) - (B*(b*c - a*d)*i^3*n*(c + d*x)^2)/(6*b^2*g) - (5*B*(b*c - a*d)^3*i^3*n*Log[a + b*x])/(6*b^4*g) - (B*(b*c - a*d)^3*i^3*n*Log[g*(a + b*x)]^2)/(2*b^4*g) + (B*d*(b*c - a*d)^2*i^3*(a + b*x)*Log[e*((a + b*x)/(c + d*x))^n])/(b^4*g) + ((b*c - a*d)*i^3*(c + d*x)^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(2*b^2*g) + (i^3*(c + d*x)^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(3*b*g) - (B*(b*c - a*d)^3*i^3*n*Log[c + d*x])/(b^4*g) + ((b*c - a*d)^3*i^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[a*g + b*g*x])/(b^4*g) + (B*(b*c - a*d)^3*i^3*n*Log[(b*(c + d*x))/(b*c - a*d)]*Log[a*g + b*g*x])/(b^4*g) + (B*(b*c - a*d)^3*i^3*n*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^4*g)","A",22,13,43,0.3023,1,"{2528, 2486, 31, 2524, 2418, 2390, 12, 2301, 2394, 2393, 2391, 2525, 43}"
132,1,543,0,0.6914004,"\int \frac{(c i+d i x)^3 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{(a g+b g x)^2} \, dx","Int[((c*i + d*i*x)^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(a*g + b*g*x)^2,x]","\frac{3 B d i^3 n (b c-a d)^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{b^4 g^2}-\frac{a^2 B d^3 i^3 n \log (a+b x)}{2 b^4 g^2}+\frac{d^3 i^3 x^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 b^2 g^2}+\frac{3 d i^3 (b c-a d)^2 \log (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^4 g^2}-\frac{i^3 (b c-a d)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^4 g^2 (a+b x)}+\frac{A d^2 i^3 x (3 b c-2 a d)}{b^3 g^2}+\frac{B d^2 i^3 (a+b x) (3 b c-2 a d) \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{b^4 g^2}-\frac{B d^2 i^3 n x (b c-a d)}{2 b^3 g^2}-\frac{B i^3 n (b c-a d)^3}{b^4 g^2 (a+b x)}-\frac{3 B d i^3 n (b c-a d)^2 \log ^2(a+b x)}{2 b^4 g^2}-\frac{B d i^3 n (b c-a d)^2 \log (a+b x)}{b^4 g^2}+\frac{B d i^3 n (b c-a d)^2 \log (c+d x)}{b^4 g^2}-\frac{B d i^3 n (3 b c-2 a d) (b c-a d) \log (c+d x)}{b^4 g^2}+\frac{3 B d i^3 n (b c-a d)^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{b^4 g^2}+\frac{B c^2 d i^3 n \log (c+d x)}{2 b^2 g^2}","\frac{3 B d i^3 n (b c-a d)^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{d (a+b x)}\right)}{b^4 g^2}+\frac{2 d^2 i^3 (a+b x) (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^4 g^2}+\frac{d i^3 (c+d x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 b^2 g^2}-\frac{i^3 (c+d x) (b c-a d)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^3 g^2 (a+b x)}-\frac{3 d i^3 (b c-a d)^2 \log \left(1-\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^4 g^2}-\frac{B d^2 i^3 n x (b c-a d)}{2 b^3 g^2}-\frac{B i^3 n (c+d x) (b c-a d)^2}{b^3 g^2 (a+b x)}-\frac{B d i^3 n (b c-a d)^2 \log \left(\frac{a+b x}{c+d x}\right)}{2 b^4 g^2}-\frac{5 B d i^3 n (b c-a d)^2 \log (c+d x)}{2 b^4 g^2}",1,"(A*d^2*(3*b*c - 2*a*d)*i^3*x)/(b^3*g^2) - (B*d^2*(b*c - a*d)*i^3*n*x)/(2*b^3*g^2) - (B*(b*c - a*d)^3*i^3*n)/(b^4*g^2*(a + b*x)) - (a^2*B*d^3*i^3*n*Log[a + b*x])/(2*b^4*g^2) - (B*d*(b*c - a*d)^2*i^3*n*Log[a + b*x])/(b^4*g^2) - (3*B*d*(b*c - a*d)^2*i^3*n*Log[a + b*x]^2)/(2*b^4*g^2) + (B*d^2*(3*b*c - 2*a*d)*i^3*(a + b*x)*Log[e*((a + b*x)/(c + d*x))^n])/(b^4*g^2) + (d^3*i^3*x^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(2*b^2*g^2) - ((b*c - a*d)^3*i^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(b^4*g^2*(a + b*x)) + (3*d*(b*c - a*d)^2*i^3*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(b^4*g^2) + (B*c^2*d*i^3*n*Log[c + d*x])/(2*b^2*g^2) - (B*d*(3*b*c - 2*a*d)*(b*c - a*d)*i^3*n*Log[c + d*x])/(b^4*g^2) + (B*d*(b*c - a*d)^2*i^3*n*Log[c + d*x])/(b^4*g^2) + (3*B*d*(b*c - a*d)^2*i^3*n*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^4*g^2) + (3*B*d*(b*c - a*d)^2*i^3*n*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^4*g^2)","A",21,14,43,0.3256,1,"{2528, 2486, 31, 2525, 12, 72, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391}"
133,1,461,0,0.708683,"\int \frac{(c i+d i x)^3 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{(a g+b g x)^3} \, dx","Int[((c*i + d*i*x)^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(a*g + b*g*x)^3,x]","\frac{3 B d^2 i^3 n (b c-a d) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{b^4 g^3}+\frac{3 d^2 i^3 (b c-a d) \log (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^4 g^3}-\frac{3 d i^3 (b c-a d)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^4 g^3 (a+b x)}-\frac{i^3 (b c-a d)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 b^4 g^3 (a+b x)^2}+\frac{B d^3 i^3 (a+b x) \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{b^4 g^3}-\frac{3 B d^2 i^3 n (b c-a d) \log ^2(a+b x)}{2 b^4 g^3}-\frac{5 B d^2 i^3 n (b c-a d) \log (a+b x)}{2 b^4 g^3}+\frac{3 B d^2 i^3 n (b c-a d) \log (c+d x)}{2 b^4 g^3}+\frac{3 B d^2 i^3 n (b c-a d) \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{b^4 g^3}-\frac{5 B d i^3 n (b c-a d)^2}{2 b^4 g^3 (a+b x)}-\frac{B i^3 n (b c-a d)^3}{4 b^4 g^3 (a+b x)^2}+\frac{A d^3 i^3 x}{b^3 g^3}","\frac{3 B d^2 i^3 n (b c-a d) \text{PolyLog}\left(2,\frac{b (c+d x)}{d (a+b x)}\right)}{b^4 g^3}+\frac{d^3 i^3 (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^4 g^3}-\frac{3 d^2 i^3 (b c-a d) \log \left(1-\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^4 g^3}-\frac{i^3 (c+d x)^2 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 b^2 g^3 (a+b x)^2}-\frac{2 d i^3 (c+d x) (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^3 g^3 (a+b x)}-\frac{B d^2 i^3 n (b c-a d) \log (c+d x)}{b^4 g^3}-\frac{B i^3 n (c+d x)^2 (b c-a d)}{4 b^2 g^3 (a+b x)^2}-\frac{2 B d i^3 n (c+d x) (b c-a d)}{b^3 g^3 (a+b x)}",1,"(A*d^3*i^3*x)/(b^3*g^3) - (B*(b*c - a*d)^3*i^3*n)/(4*b^4*g^3*(a + b*x)^2) - (5*B*d*(b*c - a*d)^2*i^3*n)/(2*b^4*g^3*(a + b*x)) - (5*B*d^2*(b*c - a*d)*i^3*n*Log[a + b*x])/(2*b^4*g^3) - (3*B*d^2*(b*c - a*d)*i^3*n*Log[a + b*x]^2)/(2*b^4*g^3) + (B*d^3*i^3*(a + b*x)*Log[e*((a + b*x)/(c + d*x))^n])/(b^4*g^3) - ((b*c - a*d)^3*i^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(2*b^4*g^3*(a + b*x)^2) - (3*d*(b*c - a*d)^2*i^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(b^4*g^3*(a + b*x)) + (3*d^2*(b*c - a*d)*i^3*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(b^4*g^3) + (3*B*d^2*(b*c - a*d)*i^3*n*Log[c + d*x])/(2*b^4*g^3) + (3*B*d^2*(b*c - a*d)*i^3*n*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^4*g^3) + (3*B*d^2*(b*c - a*d)*i^3*n*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^4*g^3)","A",21,13,43,0.3023,1,"{2528, 2486, 31, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391}"
134,1,444,0,0.7942421,"\int \frac{(c i+d i x)^3 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{(a g+b g x)^4} \, dx","Int[((c*i + d*i*x)^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(a*g + b*g*x)^4,x]","\frac{B d^3 i^3 n \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{b^4 g^4}+\frac{d^3 i^3 \log (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^4 g^4}-\frac{3 d^2 i^3 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^4 g^4 (a+b x)}-\frac{3 d i^3 (b c-a d)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 b^4 g^4 (a+b x)^2}-\frac{i^3 (b c-a d)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{3 b^4 g^4 (a+b x)^3}-\frac{11 B d^2 i^3 n (b c-a d)}{6 b^4 g^4 (a+b x)}+\frac{B d^3 i^3 n \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{b^4 g^4}-\frac{7 B d i^3 n (b c-a d)^2}{12 b^4 g^4 (a+b x)^2}-\frac{B i^3 n (b c-a d)^3}{9 b^4 g^4 (a+b x)^3}-\frac{B d^3 i^3 n \log ^2(a+b x)}{2 b^4 g^4}-\frac{11 B d^3 i^3 n \log (a+b x)}{6 b^4 g^4}+\frac{11 B d^3 i^3 n \log (c+d x)}{6 b^4 g^4}","\frac{B d^3 i^3 n \text{PolyLog}\left(2,\frac{b (c+d x)}{d (a+b x)}\right)}{b^4 g^4}-\frac{d^2 i^3 (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^3 g^4 (a+b x)}-\frac{d^3 i^3 \log \left(1-\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^4 g^4}-\frac{d i^3 (c+d x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 b^2 g^4 (a+b x)^2}-\frac{i^3 (c+d x)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{3 b g^4 (a+b x)^3}-\frac{B d^2 i^3 n (c+d x)}{b^3 g^4 (a+b x)}-\frac{B d i^3 n (c+d x)^2}{4 b^2 g^4 (a+b x)^2}-\frac{B i^3 n (c+d x)^3}{9 b g^4 (a+b x)^3}",1,"-(B*(b*c - a*d)^3*i^3*n)/(9*b^4*g^4*(a + b*x)^3) - (7*B*d*(b*c - a*d)^2*i^3*n)/(12*b^4*g^4*(a + b*x)^2) - (11*B*d^2*(b*c - a*d)*i^3*n)/(6*b^4*g^4*(a + b*x)) - (11*B*d^3*i^3*n*Log[a + b*x])/(6*b^4*g^4) - (B*d^3*i^3*n*Log[a + b*x]^2)/(2*b^4*g^4) - ((b*c - a*d)^3*i^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(3*b^4*g^4*(a + b*x)^3) - (3*d*(b*c - a*d)^2*i^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(2*b^4*g^4*(a + b*x)^2) - (3*d^2*(b*c - a*d)*i^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(b^4*g^4*(a + b*x)) + (d^3*i^3*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(b^4*g^4) + (11*B*d^3*i^3*n*Log[c + d*x])/(6*b^4*g^4) + (B*d^3*i^3*n*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^4*g^4) + (B*d^3*i^3*n*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^4*g^4)","A",22,11,43,0.2558,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391}"
135,1,426,0,0.6458962,"\int \frac{(a g+b g x)^3 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{c i+d i x} \, dx","Int[((a*g + b*g*x)^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(c*i + d*i*x),x]","\frac{B g^3 n (b c-a d)^3 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^4 i}-\frac{g^3 (a+b x)^2 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 d^2 i}-\frac{g^3 (b c-a d)^3 \log (c i+d i x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{d^4 i}+\frac{g^3 (a+b x)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{3 d i}+\frac{A b g^3 x (b c-a d)^2}{d^3 i}+\frac{B g^3 (a+b x) (b c-a d)^2 \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{d^3 i}-\frac{B g^3 n (a+b x)^2 (b c-a d)}{6 d^2 i}+\frac{5 b B g^3 n x (b c-a d)^2}{6 d^3 i}-\frac{B g^3 n (b c-a d)^3 \log ^2(i (c+d x))}{2 d^4 i}-\frac{11 B g^3 n (b c-a d)^3 \log (c+d x)}{6 d^4 i}+\frac{B g^3 n (b c-a d)^3 \log (c i+d i x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{d^4 i}","\frac{B g^3 n (b c-a d)^3 \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{d^4 i}-\frac{g^3 (a+b x)^2 (b c-a d) \left(3 B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+3 A+B n\right)}{6 d^2 i}+\frac{g^3 (a+b x) (b c-a d)^2 \left(6 B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+6 A+5 B n\right)}{6 d^3 i}+\frac{g^3 (b c-a d)^3 \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(6 B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+6 A+11 B n\right)}{6 d^4 i}+\frac{g^3 (a+b x)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{3 d i}",1,"(A*b*(b*c - a*d)^2*g^3*x)/(d^3*i) + (5*b*B*(b*c - a*d)^2*g^3*n*x)/(6*d^3*i) - (B*(b*c - a*d)*g^3*n*(a + b*x)^2)/(6*d^2*i) + (B*(b*c - a*d)^2*g^3*(a + b*x)*Log[e*((a + b*x)/(c + d*x))^n])/(d^3*i) - ((b*c - a*d)*g^3*(a + b*x)^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(2*d^2*i) + (g^3*(a + b*x)^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(3*d*i) - (11*B*(b*c - a*d)^3*g^3*n*Log[c + d*x])/(6*d^4*i) - (B*(b*c - a*d)^3*g^3*n*Log[i*(c + d*x)]^2)/(2*d^4*i) + (B*(b*c - a*d)^3*g^3*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c*i + d*i*x])/(d^4*i) - ((b*c - a*d)^3*g^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c*i + d*i*x])/(d^4*i) + (B*(b*c - a*d)^3*g^3*n*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^4*i)","A",22,13,43,0.3023,1,"{2528, 2486, 31, 2525, 12, 43, 2524, 2418, 2394, 2393, 2391, 2390, 2301}"
136,1,343,0,0.4879751,"\int \frac{(a g+b g x)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{c i+d i x} \, dx","Int[((a*g + b*g*x)^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(c*i + d*i*x),x]","-\frac{B g^2 n (b c-a d)^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^3 i}+\frac{g^2 (b c-a d)^2 \log (c i+d i x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{d^3 i}+\frac{g^2 (a+b x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 d i}-\frac{A b g^2 x (b c-a d)}{d^2 i}-\frac{B g^2 (a+b x) (b c-a d) \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{d^2 i}-\frac{b B g^2 n x (b c-a d)}{2 d^2 i}+\frac{B g^2 n (b c-a d)^2 \log ^2(i (c+d x))}{2 d^3 i}+\frac{3 B g^2 n (b c-a d)^2 \log (c+d x)}{2 d^3 i}-\frac{B g^2 n (b c-a d)^2 \log (c i+d i x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{d^3 i}","-\frac{B g^2 n (b c-a d)^2 \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{d^3 i}-\frac{g^2 (a+b x) (b c-a d) \left(2 B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+2 A+B n\right)}{2 d^2 i}-\frac{g^2 (b c-a d)^2 \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(2 B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+2 A+3 B n\right)}{2 d^3 i}+\frac{g^2 (a+b x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 d i}",1,"-((A*b*(b*c - a*d)*g^2*x)/(d^2*i)) - (b*B*(b*c - a*d)*g^2*n*x)/(2*d^2*i) - (B*(b*c - a*d)*g^2*(a + b*x)*Log[e*((a + b*x)/(c + d*x))^n])/(d^2*i) + (g^2*(a + b*x)^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(2*d*i) + (3*B*(b*c - a*d)^2*g^2*n*Log[c + d*x])/(2*d^3*i) + (B*(b*c - a*d)^2*g^2*n*Log[i*(c + d*x)]^2)/(2*d^3*i) - (B*(b*c - a*d)^2*g^2*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c*i + d*i*x])/(d^3*i) + ((b*c - a*d)^2*g^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c*i + d*i*x])/(d^3*i) - (B*(b*c - a*d)^2*g^2*n*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^3*i)","A",18,13,43,0.3023,1,"{2528, 2486, 31, 2525, 12, 43, 2524, 2418, 2394, 2393, 2391, 2390, 2301}"
137,1,223,0,0.3885666,"\int \frac{(a g+b g x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{c i+d i x} \, dx","Int[((a*g + b*g*x)*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(c*i + d*i*x),x]","\frac{B g n (b c-a d) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^2 i}-\frac{g (b c-a d) \log (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{d^2 i}-\frac{B g n (b c-a d) \log ^2(c+d x)}{2 d^2 i}-\frac{B g n (b c-a d) \log (c+d x)}{d^2 i}+\frac{B g n (b c-a d) \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{d^2 i}+\frac{B g (a+b x) \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{d i}+\frac{A b g x}{d i}","\frac{B g n (b c-a d) \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{d^2 i}+\frac{g (b c-a d) \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A+B n\right)}{d^2 i}+\frac{g (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{d i}",1,"(A*b*g*x)/(d*i) + (B*g*(a + b*x)*Log[e*((a + b*x)/(c + d*x))^n])/(d*i) - (B*(b*c - a*d)*g*n*Log[c + d*x])/(d^2*i) + (B*(b*c - a*d)*g*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^2*i) - ((b*c - a*d)*g*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/(d^2*i) - (B*(b*c - a*d)*g*n*Log[c + d*x]^2)/(2*d^2*i) + (B*(b*c - a*d)*g*n*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^2*i)","A",13,10,41,0.2439,1,"{2528, 2486, 31, 2524, 2418, 2394, 2393, 2391, 2390, 2301}"
138,1,128,0,0.2015696,"\int \frac{A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{c i+d i x} \, dx","Int[(A + B*Log[e*((a + b*x)/(c + d*x))^n])/(c*i + d*i*x),x]","-\frac{B n \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d i}+\frac{\log (c i+d i x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{d i}-\frac{B n \log (c i+d i x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{d i}+\frac{B n \log ^2(i (c+d x))}{2 d i}","-\frac{B n \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{d i}-\frac{\log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{d i}",1,"(B*n*Log[i*(c + d*x)]^2)/(2*d*i) - (B*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c*i + d*i*x])/(d*i) + ((A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c*i + d*i*x])/(d*i) - (B*n*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d*i)","A",9,8,33,0.2424,1,"{2524, 2418, 2394, 2393, 2391, 2390, 12, 2301}"
139,1,316,0,0.5568314,"\int \frac{A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{(a g+b g x) (c i+d i x)} \, dx","Int[(A + B*Log[e*((a + b*x)/(c + d*x))^n])/((a*g + b*g*x)*(c*i + d*i*x)),x]","\frac{B n \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{g i (b c-a d)}+\frac{B n \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{g i (b c-a d)}+\frac{\log (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g i (b c-a d)}-\frac{\log (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g i (b c-a d)}-\frac{B n \log ^2(a+b x)}{2 g i (b c-a d)}-\frac{B n \log ^2(c+d x)}{2 g i (b c-a d)}+\frac{B n \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{g i (b c-a d)}+\frac{B n \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{g i (b c-a d)}","\frac{\left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{2 B g i n (b c-a d)}",1,"-(B*n*Log[a + b*x]^2)/(2*(b*c - a*d)*g*i) + (Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/((b*c - a*d)*g*i) + (B*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)*g*i) - ((A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/((b*c - a*d)*g*i) - (B*n*Log[c + d*x]^2)/(2*(b*c - a*d)*g*i) + (B*n*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)*g*i) + (B*n*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)*g*i) + (B*n*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)*g*i)","C",18,8,43,0.1860,1,"{2528, 2524, 2418, 2390, 2301, 2394, 2393, 2391}"
140,1,455,0,0.6886955,"\int \frac{A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{(a g+b g x)^2 (c i+d i x)} \, dx","Int[(A + B*Log[e*((a + b*x)/(c + d*x))^n])/((a*g + b*g*x)^2*(c*i + d*i*x)),x]","-\frac{B d n \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{g^2 i (b c-a d)^2}-\frac{B d n \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{g^2 i (b c-a d)^2}-\frac{d \log (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^2 i (b c-a d)^2}-\frac{B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A}{g^2 i (a+b x) (b c-a d)}+\frac{d \log (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^2 i (b c-a d)^2}-\frac{B n}{g^2 i (a+b x) (b c-a d)}+\frac{B d n \log ^2(a+b x)}{2 g^2 i (b c-a d)^2}+\frac{B d n \log ^2(c+d x)}{2 g^2 i (b c-a d)^2}-\frac{B d n \log (a+b x)}{g^2 i (b c-a d)^2}-\frac{B d n \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{g^2 i (b c-a d)^2}+\frac{B d n \log (c+d x)}{g^2 i (b c-a d)^2}-\frac{B d n \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{g^2 i (b c-a d)^2}","-\frac{d \log \left(\frac{a+b x}{c+d x}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^2 i (b c-a d)^2}-\frac{b (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^2 i (a+b x) (b c-a d)^2}-\frac{b B n (c+d x)}{g^2 i (a+b x) (b c-a d)^2}+\frac{B d n \log ^2\left(\frac{a+b x}{c+d x}\right)}{2 g^2 i (b c-a d)^2}",1,"-((B*n)/((b*c - a*d)*g^2*i*(a + b*x))) - (B*d*n*Log[a + b*x])/((b*c - a*d)^2*g^2*i) + (B*d*n*Log[a + b*x]^2)/(2*(b*c - a*d)^2*g^2*i) - (A + B*Log[e*((a + b*x)/(c + d*x))^n])/((b*c - a*d)*g^2*i*(a + b*x)) - (d*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/((b*c - a*d)^2*g^2*i) + (B*d*n*Log[c + d*x])/((b*c - a*d)^2*g^2*i) - (B*d*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^2*g^2*i) + (d*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/((b*c - a*d)^2*g^2*i) + (B*d*n*Log[c + d*x]^2)/(2*(b*c - a*d)^2*g^2*i) - (B*d*n*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^2*g^2*i) - (B*d*n*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^2*g^2*i) - (B*d*n*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^2*g^2*i)","C",22,11,43,0.2558,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391}"
141,1,557,0,0.8342193,"\int \frac{A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{(a g+b g x)^3 (c i+d i x)} \, dx","Int[(A + B*Log[e*((a + b*x)/(c + d*x))^n])/((a*g + b*g*x)^3*(c*i + d*i*x)),x]","\frac{B d^2 n \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{g^3 i (b c-a d)^3}+\frac{B d^2 n \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{g^3 i (b c-a d)^3}+\frac{d^2 \log (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^3 i (b c-a d)^3}-\frac{d^2 \log (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^3 i (b c-a d)^3}+\frac{d \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^3 i (a+b x) (b c-a d)^2}-\frac{B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A}{2 g^3 i (a+b x)^2 (b c-a d)}-\frac{B d^2 n \log ^2(a+b x)}{2 g^3 i (b c-a d)^3}-\frac{B d^2 n \log ^2(c+d x)}{2 g^3 i (b c-a d)^3}+\frac{3 B d^2 n \log (a+b x)}{2 g^3 i (b c-a d)^3}-\frac{3 B d^2 n \log (c+d x)}{2 g^3 i (b c-a d)^3}+\frac{B d^2 n \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{g^3 i (b c-a d)^3}+\frac{B d^2 n \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{g^3 i (b c-a d)^3}+\frac{3 B d n}{2 g^3 i (a+b x) (b c-a d)^2}-\frac{B n}{4 g^3 i (a+b x)^2 (b c-a d)}","-\frac{b^2 (c+d x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 g^3 i (a+b x)^2 (b c-a d)^3}+\frac{d^2 \log \left(\frac{a+b x}{c+d x}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^3 i (b c-a d)^3}+\frac{2 b d (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^3 i (a+b x) (b c-a d)^3}-\frac{B d^2 n \log ^2\left(\frac{a+b x}{c+d x}\right)}{2 g^3 i (b c-a d)^3}-\frac{B n (c+d x)^2 \left(b-\frac{4 d (a+b x)}{c+d x}\right)^2}{4 g^3 i (a+b x)^2 (b c-a d)^3}",1,"-(B*n)/(4*(b*c - a*d)*g^3*i*(a + b*x)^2) + (3*B*d*n)/(2*(b*c - a*d)^2*g^3*i*(a + b*x)) + (3*B*d^2*n*Log[a + b*x])/(2*(b*c - a*d)^3*g^3*i) - (B*d^2*n*Log[a + b*x]^2)/(2*(b*c - a*d)^3*g^3*i) - (A + B*Log[e*((a + b*x)/(c + d*x))^n])/(2*(b*c - a*d)*g^3*i*(a + b*x)^2) + (d*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/((b*c - a*d)^2*g^3*i*(a + b*x)) + (d^2*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/((b*c - a*d)^3*g^3*i) - (3*B*d^2*n*Log[c + d*x])/(2*(b*c - a*d)^3*g^3*i) + (B*d^2*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^3*g^3*i) - (d^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/((b*c - a*d)^3*g^3*i) - (B*d^2*n*Log[c + d*x]^2)/(2*(b*c - a*d)^3*g^3*i) + (B*d^2*n*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g^3*i) + (B*d^2*n*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^3*g^3*i) + (B*d^2*n*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g^3*i)","C",26,11,43,0.2558,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391}"
142,1,646,0,1.0771301,"\int \frac{A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{(a g+b g x)^4 (c i+d i x)} \, dx","Int[(A + B*Log[e*((a + b*x)/(c + d*x))^n])/((a*g + b*g*x)^4*(c*i + d*i*x)),x]","-\frac{B d^3 n \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{g^4 i (b c-a d)^4}-\frac{B d^3 n \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{g^4 i (b c-a d)^4}-\frac{d^3 \log (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^4 i (b c-a d)^4}+\frac{d^3 \log (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^4 i (b c-a d)^4}-\frac{d^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^4 i (a+b x) (b c-a d)^3}+\frac{d \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 g^4 i (a+b x)^2 (b c-a d)^2}-\frac{B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A}{3 g^4 i (a+b x)^3 (b c-a d)}-\frac{11 B d^2 n}{6 g^4 i (a+b x) (b c-a d)^3}+\frac{B d^3 n \log ^2(a+b x)}{2 g^4 i (b c-a d)^4}+\frac{B d^3 n \log ^2(c+d x)}{2 g^4 i (b c-a d)^4}-\frac{11 B d^3 n \log (a+b x)}{6 g^4 i (b c-a d)^4}+\frac{11 B d^3 n \log (c+d x)}{6 g^4 i (b c-a d)^4}-\frac{B d^3 n \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{g^4 i (b c-a d)^4}-\frac{B d^3 n \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{g^4 i (b c-a d)^4}+\frac{5 B d n}{12 g^4 i (a+b x)^2 (b c-a d)^2}-\frac{B n}{9 g^4 i (a+b x)^3 (b c-a d)}","\frac{3 b^2 d (c+d x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 g^4 i (a+b x)^2 (b c-a d)^4}-\frac{b^3 (c+d x)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{3 g^4 i (a+b x)^3 (b c-a d)^4}-\frac{d^3 \log \left(\frac{a+b x}{c+d x}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^4 i (b c-a d)^4}-\frac{3 b d^2 (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^4 i (a+b x) (b c-a d)^4}+\frac{3 b^2 B d n (c+d x)^2}{4 g^4 i (a+b x)^2 (b c-a d)^4}-\frac{b^3 B n (c+d x)^3}{9 g^4 i (a+b x)^3 (b c-a d)^4}-\frac{3 b B d^2 n (c+d x)}{g^4 i (a+b x) (b c-a d)^4}+\frac{B d^3 n \log ^2\left(\frac{a+b x}{c+d x}\right)}{2 g^4 i (b c-a d)^4}",1,"-(B*n)/(9*(b*c - a*d)*g^4*i*(a + b*x)^3) + (5*B*d*n)/(12*(b*c - a*d)^2*g^4*i*(a + b*x)^2) - (11*B*d^2*n)/(6*(b*c - a*d)^3*g^4*i*(a + b*x)) - (11*B*d^3*n*Log[a + b*x])/(6*(b*c - a*d)^4*g^4*i) + (B*d^3*n*Log[a + b*x]^2)/(2*(b*c - a*d)^4*g^4*i) - (A + B*Log[e*((a + b*x)/(c + d*x))^n])/(3*(b*c - a*d)*g^4*i*(a + b*x)^3) + (d*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(2*(b*c - a*d)^2*g^4*i*(a + b*x)^2) - (d^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/((b*c - a*d)^3*g^4*i*(a + b*x)) - (d^3*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/((b*c - a*d)^4*g^4*i) + (11*B*d^3*n*Log[c + d*x])/(6*(b*c - a*d)^4*g^4*i) - (B*d^3*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^4*g^4*i) + (d^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/((b*c - a*d)^4*g^4*i) + (B*d^3*n*Log[c + d*x]^2)/(2*(b*c - a*d)^4*g^4*i) - (B*d^3*n*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^4*i) - (B*d^3*n*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^4*g^4*i) - (B*d^3*n*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^4*i)","C",30,11,43,0.2558,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391}"
143,1,541,0,0.7272432,"\int \frac{(a g+b g x)^3 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{(c i+d i x)^2} \, dx","Int[((a*g + b*g*x)^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(c*i + d*i*x)^2,x]","-\frac{3 b B g^3 n (b c-a d)^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^4 i^2}-\frac{a^2 b B g^3 n \log (a+b x)}{2 d^2 i^2}+\frac{b^3 g^3 x^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 d^2 i^2}-\frac{A b^2 g^3 x (2 b c-3 a d)}{d^3 i^2}+\frac{g^3 (b c-a d)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{d^4 i^2 (c+d x)}+\frac{3 b g^3 (b c-a d)^2 \log (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{d^4 i^2}-\frac{b^2 B g^3 n x (b c-a d)}{2 d^3 i^2}-\frac{b B g^3 (a+b x) (2 b c-3 a d) \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{d^3 i^2}-\frac{B g^3 n (b c-a d)^3}{d^4 i^2 (c+d x)}+\frac{3 b B g^3 n (b c-a d)^2 \log ^2(c+d x)}{2 d^4 i^2}-\frac{b B g^3 n (b c-a d)^2 \log (a+b x)}{d^4 i^2}+\frac{b B g^3 n (b c-a d)^2 \log (c+d x)}{d^4 i^2}+\frac{b B g^3 n (2 b c-3 a d) (b c-a d) \log (c+d x)}{d^4 i^2}-\frac{3 b B g^3 n (b c-a d)^2 \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{d^4 i^2}+\frac{b^3 B c^2 g^3 n \log (c+d x)}{2 d^4 i^2}","-\frac{3 b B g^3 n (b c-a d)^2 \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{d^4 i^2}-\frac{g^3 (a+b x)^2 (b c-a d) \left(3 B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+3 A+B n\right)}{2 d^2 i^2 (c+d x)}-\frac{b g^3 (b c-a d)^2 \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(6 B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+6 A+5 B n\right)}{2 d^4 i^2}-\frac{g^3 (a+b x) (6 A+5 B n) (b c-a d)^2}{2 d^3 i^2 (c+d x)}+\frac{g^3 (a+b x)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 d i^2 (c+d x)}-\frac{3 B g^3 (a+b x) (b c-a d)^2 \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{d^3 i^2 (c+d x)}+\frac{3 B g^3 n (a+b x) (b c-a d)^2}{d^3 i^2 (c+d x)}",1,"-((A*b^2*(2*b*c - 3*a*d)*g^3*x)/(d^3*i^2)) - (b^2*B*(b*c - a*d)*g^3*n*x)/(2*d^3*i^2) - (B*(b*c - a*d)^3*g^3*n)/(d^4*i^2*(c + d*x)) - (a^2*b*B*g^3*n*Log[a + b*x])/(2*d^2*i^2) - (b*B*(b*c - a*d)^2*g^3*n*Log[a + b*x])/(d^4*i^2) - (b*B*(2*b*c - 3*a*d)*g^3*(a + b*x)*Log[e*((a + b*x)/(c + d*x))^n])/(d^3*i^2) + (b^3*g^3*x^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(2*d^2*i^2) + ((b*c - a*d)^3*g^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(d^4*i^2*(c + d*x)) + (b^3*B*c^2*g^3*n*Log[c + d*x])/(2*d^4*i^2) + (b*B*(2*b*c - 3*a*d)*(b*c - a*d)*g^3*n*Log[c + d*x])/(d^4*i^2) + (b*B*(b*c - a*d)^2*g^3*n*Log[c + d*x])/(d^4*i^2) - (3*b*B*(b*c - a*d)^2*g^3*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^4*i^2) + (3*b*(b*c - a*d)^2*g^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/(d^4*i^2) + (3*b*B*(b*c - a*d)^2*g^3*n*Log[c + d*x]^2)/(2*d^4*i^2) - (3*b*B*(b*c - a*d)^2*g^3*n*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^4*i^2)","A",21,14,43,0.3256,1,"{2528, 2486, 31, 2525, 12, 72, 44, 2524, 2418, 2394, 2393, 2391, 2390, 2301}"
144,1,351,0,0.5322044,"\int \frac{(a g+b g x)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{(c i+d i x)^2} \, dx","Int[((a*g + b*g*x)^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(c*i + d*i*x)^2,x]","\frac{2 b B g^2 n (b c-a d) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^3 i^2}-\frac{g^2 (b c-a d)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{d^3 i^2 (c+d x)}-\frac{2 b g^2 (b c-a d) \log (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{d^3 i^2}+\frac{b B g^2 (a+b x) \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{d^2 i^2}+\frac{B g^2 n (b c-a d)^2}{d^3 i^2 (c+d x)}-\frac{b B g^2 n (b c-a d) \log ^2(c+d x)}{d^3 i^2}+\frac{b B g^2 n (b c-a d) \log (a+b x)}{d^3 i^2}-\frac{2 b B g^2 n (b c-a d) \log (c+d x)}{d^3 i^2}+\frac{2 b B g^2 n (b c-a d) \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{d^3 i^2}+\frac{A b^2 g^2 x}{d^2 i^2}","\frac{2 b B g^2 n (b c-a d) \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{d^3 i^2}+\frac{b g^2 (b c-a d) \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(2 B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+2 A+B n\right)}{d^3 i^2}+\frac{g^2 (a+b x) (2 A+B n) (b c-a d)}{d^2 i^2 (c+d x)}+\frac{g^2 (a+b x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{d i^2 (c+d x)}+\frac{2 B g^2 (a+b x) (b c-a d) \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{d^2 i^2 (c+d x)}-\frac{2 B g^2 n (a+b x) (b c-a d)}{d^2 i^2 (c+d x)}",1,"(A*b^2*g^2*x)/(d^2*i^2) + (B*(b*c - a*d)^2*g^2*n)/(d^3*i^2*(c + d*x)) + (b*B*(b*c - a*d)*g^2*n*Log[a + b*x])/(d^3*i^2) + (b*B*g^2*(a + b*x)*Log[e*((a + b*x)/(c + d*x))^n])/(d^2*i^2) - ((b*c - a*d)^2*g^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(d^3*i^2*(c + d*x)) - (2*b*B*(b*c - a*d)*g^2*n*Log[c + d*x])/(d^3*i^2) + (2*b*B*(b*c - a*d)*g^2*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^3*i^2) - (2*b*(b*c - a*d)*g^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/(d^3*i^2) - (b*B*(b*c - a*d)*g^2*n*Log[c + d*x]^2)/(d^3*i^2) + (2*b*B*(b*c - a*d)*g^2*n*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^3*i^2)","A",17,13,43,0.3023,1,"{2528, 2486, 31, 2525, 12, 44, 2524, 2418, 2394, 2393, 2391, 2390, 2301}"
145,1,234,0,0.3868797,"\int \frac{(a g+b g x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{(c i+d i x)^2} \, dx","Int[((a*g + b*g*x)*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(c*i + d*i*x)^2,x]","-\frac{b B g n \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^2 i^2}+\frac{b g \log (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{d^2 i^2}+\frac{g (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{d^2 i^2 (c+d x)}-\frac{B g n (b c-a d)}{d^2 i^2 (c+d x)}-\frac{b B g n \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{d^2 i^2}-\frac{b B g n \log (a+b x)}{d^2 i^2}+\frac{b B g n \log ^2(c+d x)}{2 d^2 i^2}+\frac{b B g n \log (c+d x)}{d^2 i^2}","-\frac{b B g n \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{d^2 i^2}-\frac{b g \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{d^2 i^2}-\frac{A g (a+b x)}{d i^2 (c+d x)}-\frac{B g (a+b x) \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{d i^2 (c+d x)}+\frac{B g n (a+b x)}{d i^2 (c+d x)}",1,"-((B*(b*c - a*d)*g*n)/(d^2*i^2*(c + d*x))) - (b*B*g*n*Log[a + b*x])/(d^2*i^2) + ((b*c - a*d)*g*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(d^2*i^2*(c + d*x)) + (b*B*g*n*Log[c + d*x])/(d^2*i^2) - (b*B*g*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^2*i^2) + (b*g*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/(d^2*i^2) + (b*B*g*n*Log[c + d*x]^2)/(2*d^2*i^2) - (b*B*g*n*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^2*i^2)","A",14,11,41,0.2683,1,"{2528, 2525, 12, 44, 2524, 2418, 2394, 2393, 2391, 2390, 2301}"
146,1,107,0,0.078694,"\int \frac{A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{(c i+d i x)^2} \, dx","Int[(A + B*Log[e*((a + b*x)/(c + d*x))^n])/(c*i + d*i*x)^2,x]","-\frac{B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A}{d i^2 (c+d x)}+\frac{b B n \log (a+b x)}{d i^2 (b c-a d)}-\frac{b B n \log (c+d x)}{d i^2 (b c-a d)}+\frac{B n}{d i^2 (c+d x)}","\frac{A (a+b x)}{i^2 (c+d x) (b c-a d)}+\frac{B (a+b x) \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{i^2 (c+d x) (b c-a d)}-\frac{B n (a+b x)}{i^2 (c+d x) (b c-a d)}",1,"(B*n)/(d*i^2*(c + d*x)) + (b*B*n*Log[a + b*x])/(d*(b*c - a*d)*i^2) - (A + B*Log[e*((a + b*x)/(c + d*x))^n])/(d*i^2*(c + d*x)) - (b*B*n*Log[c + d*x])/(d*(b*c - a*d)*i^2)","A",4,3,33,0.09091,1,"{2525, 12, 44}"
147,1,450,0,0.6788373,"\int \frac{A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{(a g+b g x) (c i+d i x)^2} \, dx","Int[(A + B*Log[e*((a + b*x)/(c + d*x))^n])/((a*g + b*g*x)*(c*i + d*i*x)^2),x]","\frac{b B n \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{g i^2 (b c-a d)^2}+\frac{b B n \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{g i^2 (b c-a d)^2}+\frac{b \log (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g i^2 (b c-a d)^2}+\frac{B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A}{g i^2 (c+d x) (b c-a d)}-\frac{b \log (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g i^2 (b c-a d)^2}-\frac{B n}{g i^2 (c+d x) (b c-a d)}-\frac{b B n \log ^2(a+b x)}{2 g i^2 (b c-a d)^2}-\frac{b B n \log ^2(c+d x)}{2 g i^2 (b c-a d)^2}-\frac{b B n \log (a+b x)}{g i^2 (b c-a d)^2}+\frac{b B n \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{g i^2 (b c-a d)^2}+\frac{b B n \log (c+d x)}{g i^2 (b c-a d)^2}+\frac{b B n \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{g i^2 (b c-a d)^2}","\frac{b \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{2 B g i^2 n (b c-a d)^2}-\frac{A d (a+b x)}{g i^2 (c+d x) (b c-a d)^2}-\frac{B d (a+b x) \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{g i^2 (c+d x) (b c-a d)^2}+\frac{B d n (a+b x)}{g i^2 (c+d x) (b c-a d)^2}",1,"-((B*n)/((b*c - a*d)*g*i^2*(c + d*x))) - (b*B*n*Log[a + b*x])/((b*c - a*d)^2*g*i^2) - (b*B*n*Log[a + b*x]^2)/(2*(b*c - a*d)^2*g*i^2) + (A + B*Log[e*((a + b*x)/(c + d*x))^n])/((b*c - a*d)*g*i^2*(c + d*x)) + (b*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/((b*c - a*d)^2*g*i^2) + (b*B*n*Log[c + d*x])/((b*c - a*d)^2*g*i^2) + (b*B*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^2*g*i^2) - (b*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/((b*c - a*d)^2*g*i^2) - (b*B*n*Log[c + d*x]^2)/(2*(b*c - a*d)^2*g*i^2) + (b*B*n*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^2*g*i^2) + (b*B*n*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^2*g*i^2) + (b*B*n*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^2*g*i^2)","C",22,11,43,0.2558,1,"{2528, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 2525, 12, 44}"
148,1,482,0,0.8299383,"\int \frac{A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{(a g+b g x)^2 (c i+d i x)^2} \, dx","Int[(A + B*Log[e*((a + b*x)/(c + d*x))^n])/((a*g + b*g*x)^2*(c*i + d*i*x)^2),x]","-\frac{2 b B d n \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{g^2 i^2 (b c-a d)^3}-\frac{2 b B d n \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{g^2 i^2 (b c-a d)^3}-\frac{2 b d \log (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^2 i^2 (b c-a d)^3}-\frac{b \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^2 i^2 (a+b x) (b c-a d)^2}-\frac{d \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^2 i^2 (c+d x) (b c-a d)^2}+\frac{2 b d \log (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^2 i^2 (b c-a d)^3}-\frac{b B n}{g^2 i^2 (a+b x) (b c-a d)^2}+\frac{B d n}{g^2 i^2 (c+d x) (b c-a d)^2}+\frac{b B d n \log ^2(a+b x)}{g^2 i^2 (b c-a d)^3}+\frac{b B d n \log ^2(c+d x)}{g^2 i^2 (b c-a d)^3}-\frac{2 b B d n \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{g^2 i^2 (b c-a d)^3}-\frac{2 b B d n \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{g^2 i^2 (b c-a d)^3}","-\frac{b^2 (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^2 i^2 (a+b x) (b c-a d)^3}+\frac{d^2 (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^2 i^2 (c+d x) (b c-a d)^3}-\frac{2 b d \log \left(\frac{a+b x}{c+d x}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^2 i^2 (b c-a d)^3}-\frac{b^2 B n (c+d x)}{g^2 i^2 (a+b x) (b c-a d)^3}-\frac{B d^2 n (a+b x)}{g^2 i^2 (c+d x) (b c-a d)^3}+\frac{b B d n \log ^2\left(\frac{a+b x}{c+d x}\right)}{g^2 i^2 (b c-a d)^3}",1,"-((b*B*n)/((b*c - a*d)^2*g^2*i^2*(a + b*x))) + (B*d*n)/((b*c - a*d)^2*g^2*i^2*(c + d*x)) + (b*B*d*n*Log[a + b*x]^2)/((b*c - a*d)^3*g^2*i^2) - (b*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/((b*c - a*d)^2*g^2*i^2*(a + b*x)) - (d*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/((b*c - a*d)^2*g^2*i^2*(c + d*x)) - (2*b*d*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/((b*c - a*d)^3*g^2*i^2) - (2*b*B*d*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^3*g^2*i^2) + (2*b*d*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/((b*c - a*d)^3*g^2*i^2) + (b*B*d*n*Log[c + d*x]^2)/((b*c - a*d)^3*g^2*i^2) - (2*b*B*d*n*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g^2*i^2) - (2*b*B*d*n*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^3*g^2*i^2) - (2*b*B*d*n*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g^2*i^2)","C",26,11,43,0.2558,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391}"
149,1,656,0,1.087228,"\int \frac{A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{(a g+b g x)^3 (c i+d i x)^2} \, dx","Int[(A + B*Log[e*((a + b*x)/(c + d*x))^n])/((a*g + b*g*x)^3*(c*i + d*i*x)^2),x]","\frac{3 b B d^2 n \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{g^3 i^2 (b c-a d)^4}+\frac{3 b B d^2 n \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{g^3 i^2 (b c-a d)^4}+\frac{3 b d^2 \log (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^3 i^2 (b c-a d)^4}+\frac{d^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^3 i^2 (c+d x) (b c-a d)^3}-\frac{3 b d^2 \log (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^3 i^2 (b c-a d)^4}+\frac{2 b d \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^3 i^2 (a+b x) (b c-a d)^3}-\frac{b \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 g^3 i^2 (a+b x)^2 (b c-a d)^2}-\frac{B d^2 n}{g^3 i^2 (c+d x) (b c-a d)^3}-\frac{3 b B d^2 n \log ^2(a+b x)}{2 g^3 i^2 (b c-a d)^4}-\frac{3 b B d^2 n \log ^2(c+d x)}{2 g^3 i^2 (b c-a d)^4}+\frac{3 b B d^2 n \log (a+b x)}{2 g^3 i^2 (b c-a d)^4}-\frac{3 b B d^2 n \log (c+d x)}{2 g^3 i^2 (b c-a d)^4}+\frac{3 b B d^2 n \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{g^3 i^2 (b c-a d)^4}+\frac{3 b B d^2 n \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{g^3 i^2 (b c-a d)^4}+\frac{5 b B d n}{2 g^3 i^2 (a+b x) (b c-a d)^3}-\frac{b B n}{4 g^3 i^2 (a+b x)^2 (b c-a d)^2}","-\frac{b^3 (c+d x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 g^3 i^2 (a+b x)^2 (b c-a d)^4}+\frac{3 b^2 d (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^3 i^2 (a+b x) (b c-a d)^4}+\frac{3 b d^2 \log \left(\frac{a+b x}{c+d x}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^3 i^2 (b c-a d)^4}-\frac{d^3 (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^3 i^2 (c+d x) (b c-a d)^4}-\frac{b^3 B n (c+d x)^2}{4 g^3 i^2 (a+b x)^2 (b c-a d)^4}+\frac{3 b^2 B d n (c+d x)}{g^3 i^2 (a+b x) (b c-a d)^4}+\frac{B d^3 n (a+b x)}{g^3 i^2 (c+d x) (b c-a d)^4}-\frac{3 b B d^2 n \log ^2\left(\frac{a+b x}{c+d x}\right)}{2 g^3 i^2 (b c-a d)^4}",1,"-(b*B*n)/(4*(b*c - a*d)^2*g^3*i^2*(a + b*x)^2) + (5*b*B*d*n)/(2*(b*c - a*d)^3*g^3*i^2*(a + b*x)) - (B*d^2*n)/((b*c - a*d)^3*g^3*i^2*(c + d*x)) + (3*b*B*d^2*n*Log[a + b*x])/(2*(b*c - a*d)^4*g^3*i^2) - (3*b*B*d^2*n*Log[a + b*x]^2)/(2*(b*c - a*d)^4*g^3*i^2) - (b*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(2*(b*c - a*d)^2*g^3*i^2*(a + b*x)^2) + (2*b*d*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/((b*c - a*d)^3*g^3*i^2*(a + b*x)) + (d^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/((b*c - a*d)^3*g^3*i^2*(c + d*x)) + (3*b*d^2*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/((b*c - a*d)^4*g^3*i^2) - (3*b*B*d^2*n*Log[c + d*x])/(2*(b*c - a*d)^4*g^3*i^2) + (3*b*B*d^2*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^4*g^3*i^2) - (3*b*d^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/((b*c - a*d)^4*g^3*i^2) - (3*b*B*d^2*n*Log[c + d*x]^2)/(2*(b*c - a*d)^4*g^3*i^2) + (3*b*B*d^2*n*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^3*i^2) + (3*b*B*d^2*n*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^4*g^3*i^2) + (3*b*B*d^2*n*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^3*i^2)","C",30,11,43,0.2558,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391}"
150,1,735,0,1.356965,"\int \frac{A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{(a g+b g x)^4 (c i+d i x)^2} \, dx","Int[(A + B*Log[e*((a + b*x)/(c + d*x))^n])/((a*g + b*g*x)^4*(c*i + d*i*x)^2),x]","-\frac{4 b B d^3 n \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{g^4 i^2 (b c-a d)^5}-\frac{4 b B d^3 n \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{g^4 i^2 (b c-a d)^5}-\frac{4 b d^3 \log (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^4 i^2 (b c-a d)^5}-\frac{d^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^4 i^2 (c+d x) (b c-a d)^4}+\frac{4 b d^3 \log (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^4 i^2 (b c-a d)^5}-\frac{3 b d^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^4 i^2 (a+b x) (b c-a d)^4}+\frac{b d \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^4 i^2 (a+b x)^2 (b c-a d)^3}-\frac{b \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{3 g^4 i^2 (a+b x)^3 (b c-a d)^2}+\frac{B d^3 n}{g^4 i^2 (c+d x) (b c-a d)^4}-\frac{13 b B d^2 n}{3 g^4 i^2 (a+b x) (b c-a d)^4}+\frac{2 b B d^3 n \log ^2(a+b x)}{g^4 i^2 (b c-a d)^5}+\frac{2 b B d^3 n \log ^2(c+d x)}{g^4 i^2 (b c-a d)^5}-\frac{10 b B d^3 n \log (a+b x)}{3 g^4 i^2 (b c-a d)^5}+\frac{10 b B d^3 n \log (c+d x)}{3 g^4 i^2 (b c-a d)^5}-\frac{4 b B d^3 n \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{g^4 i^2 (b c-a d)^5}-\frac{4 b B d^3 n \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{g^4 i^2 (b c-a d)^5}+\frac{2 b B d n}{3 g^4 i^2 (a+b x)^2 (b c-a d)^3}-\frac{b B n}{9 g^4 i^2 (a+b x)^3 (b c-a d)^2}","-\frac{6 b^2 d^2 (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^4 i^2 (a+b x) (b c-a d)^5}-\frac{b^4 (c+d x)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{3 g^4 i^2 (a+b x)^3 (b c-a d)^5}+\frac{2 b^3 d (c+d x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^4 i^2 (a+b x)^2 (b c-a d)^5}-\frac{4 b d^3 \log \left(\frac{a+b x}{c+d x}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^4 i^2 (b c-a d)^5}+\frac{d^4 (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^4 i^2 (c+d x) (b c-a d)^5}-\frac{6 b^2 B d^2 n (c+d x)}{g^4 i^2 (a+b x) (b c-a d)^5}-\frac{b^4 B n (c+d x)^3}{9 g^4 i^2 (a+b x)^3 (b c-a d)^5}+\frac{b^3 B d n (c+d x)^2}{g^4 i^2 (a+b x)^2 (b c-a d)^5}-\frac{B d^4 n (a+b x)}{g^4 i^2 (c+d x) (b c-a d)^5}+\frac{2 b B d^3 n \log ^2\left(\frac{a+b x}{c+d x}\right)}{g^4 i^2 (b c-a d)^5}",1,"-(b*B*n)/(9*(b*c - a*d)^2*g^4*i^2*(a + b*x)^3) + (2*b*B*d*n)/(3*(b*c - a*d)^3*g^4*i^2*(a + b*x)^2) - (13*b*B*d^2*n)/(3*(b*c - a*d)^4*g^4*i^2*(a + b*x)) + (B*d^3*n)/((b*c - a*d)^4*g^4*i^2*(c + d*x)) - (10*b*B*d^3*n*Log[a + b*x])/(3*(b*c - a*d)^5*g^4*i^2) + (2*b*B*d^3*n*Log[a + b*x]^2)/((b*c - a*d)^5*g^4*i^2) - (b*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(3*(b*c - a*d)^2*g^4*i^2*(a + b*x)^3) + (b*d*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/((b*c - a*d)^3*g^4*i^2*(a + b*x)^2) - (3*b*d^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/((b*c - a*d)^4*g^4*i^2*(a + b*x)) - (d^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/((b*c - a*d)^4*g^4*i^2*(c + d*x)) - (4*b*d^3*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/((b*c - a*d)^5*g^4*i^2) + (10*b*B*d^3*n*Log[c + d*x])/(3*(b*c - a*d)^5*g^4*i^2) - (4*b*B*d^3*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^5*g^4*i^2) + (4*b*d^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/((b*c - a*d)^5*g^4*i^2) + (2*b*B*d^3*n*Log[c + d*x]^2)/((b*c - a*d)^5*g^4*i^2) - (4*b*B*d^3*n*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^5*g^4*i^2) - (4*b*B*d^3*n*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^5*g^4*i^2) - (4*b*B*d^3*n*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^5*g^4*i^2)","C",34,11,43,0.2558,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391}"
151,1,461,0,0.7454997,"\int \frac{(a g+b g x)^3 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{(c i+d i x)^3} \, dx","Int[((a*g + b*g*x)^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(c*i + d*i*x)^3,x]","\frac{3 b^2 B g^3 n (b c-a d) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^4 i^3}-\frac{3 b^2 g^3 (b c-a d) \log (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{d^4 i^3}-\frac{3 b g^3 (b c-a d)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{d^4 i^3 (c+d x)}+\frac{g^3 (b c-a d)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 d^4 i^3 (c+d x)^2}+\frac{b^2 B g^3 (a+b x) \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{d^3 i^3}-\frac{3 b^2 B g^3 n (b c-a d) \log ^2(c+d x)}{2 d^4 i^3}+\frac{5 b^2 B g^3 n (b c-a d) \log (a+b x)}{2 d^4 i^3}-\frac{7 b^2 B g^3 n (b c-a d) \log (c+d x)}{2 d^4 i^3}+\frac{3 b^2 B g^3 n (b c-a d) \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{d^4 i^3}+\frac{5 b B g^3 n (b c-a d)^2}{2 d^4 i^3 (c+d x)}-\frac{B g^3 n (b c-a d)^3}{4 d^4 i^3 (c+d x)^2}+\frac{A b^3 g^3 x}{d^3 i^3}","\frac{3 b^2 B g^3 n (b c-a d) \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{d^4 i^3}+\frac{b^2 g^3 (b c-a d) \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(3 B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+3 A+B n\right)}{d^4 i^3}+\frac{g^3 (a+b x)^2 (b c-a d) \left(3 B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+3 A+B n\right)}{2 d^2 i^3 (c+d x)^2}+\frac{b g^3 (a+b x) (3 A+B n) (b c-a d)}{d^3 i^3 (c+d x)}+\frac{g^3 (a+b x)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{d i^3 (c+d x)^2}+\frac{3 b B g^3 (a+b x) (b c-a d) \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{d^3 i^3 (c+d x)}-\frac{3 b B g^3 n (a+b x) (b c-a d)}{d^3 i^3 (c+d x)}-\frac{3 B g^3 n (a+b x)^2 (b c-a d)}{4 d^2 i^3 (c+d x)^2}",1,"(A*b^3*g^3*x)/(d^3*i^3) - (B*(b*c - a*d)^3*g^3*n)/(4*d^4*i^3*(c + d*x)^2) + (5*b*B*(b*c - a*d)^2*g^3*n)/(2*d^4*i^3*(c + d*x)) + (5*b^2*B*(b*c - a*d)*g^3*n*Log[a + b*x])/(2*d^4*i^3) + (b^2*B*g^3*(a + b*x)*Log[e*((a + b*x)/(c + d*x))^n])/(d^3*i^3) + ((b*c - a*d)^3*g^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(2*d^4*i^3*(c + d*x)^2) - (3*b*(b*c - a*d)^2*g^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(d^4*i^3*(c + d*x)) - (7*b^2*B*(b*c - a*d)*g^3*n*Log[c + d*x])/(2*d^4*i^3) + (3*b^2*B*(b*c - a*d)*g^3*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^4*i^3) - (3*b^2*(b*c - a*d)*g^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/(d^4*i^3) - (3*b^2*B*(b*c - a*d)*g^3*n*Log[c + d*x]^2)/(2*d^4*i^3) + (3*b^2*B*(b*c - a*d)*g^3*n*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^4*i^3)","A",21,13,43,0.3023,1,"{2528, 2486, 31, 2525, 12, 44, 2524, 2418, 2394, 2393, 2391, 2390, 2301}"
152,1,356,0,0.5972343,"\int \frac{(a g+b g x)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{(c i+d i x)^3} \, dx","Int[((a*g + b*g*x)^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(c*i + d*i*x)^3,x]","-\frac{b^2 B g^2 n \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^3 i^3}+\frac{b^2 g^2 \log (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{d^3 i^3}+\frac{2 b g^2 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{d^3 i^3 (c+d x)}-\frac{g^2 (b c-a d)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 d^3 i^3 (c+d x)^2}-\frac{b^2 B g^2 n \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{d^3 i^3}-\frac{3 b^2 B g^2 n \log (a+b x)}{2 d^3 i^3}-\frac{3 b B g^2 n (b c-a d)}{2 d^3 i^3 (c+d x)}+\frac{B g^2 n (b c-a d)^2}{4 d^3 i^3 (c+d x)^2}+\frac{b^2 B g^2 n \log ^2(c+d x)}{2 d^3 i^3}+\frac{3 b^2 B g^2 n \log (c+d x)}{2 d^3 i^3}","-\frac{b^2 B g^2 n \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{d^3 i^3}-\frac{b^2 g^2 \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{d^3 i^3}-\frac{g^2 (a+b x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 d i^3 (c+d x)^2}-\frac{A b g^2 (a+b x)}{d^2 i^3 (c+d x)}-\frac{b B g^2 (a+b x) \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{d^2 i^3 (c+d x)}+\frac{b B g^2 n (a+b x)}{d^2 i^3 (c+d x)}+\frac{B g^2 n (a+b x)^2}{4 d i^3 (c+d x)^2}",1,"(B*(b*c - a*d)^2*g^2*n)/(4*d^3*i^3*(c + d*x)^2) - (3*b*B*(b*c - a*d)*g^2*n)/(2*d^3*i^3*(c + d*x)) - (3*b^2*B*g^2*n*Log[a + b*x])/(2*d^3*i^3) - ((b*c - a*d)^2*g^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(2*d^3*i^3*(c + d*x)^2) + (2*b*(b*c - a*d)*g^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(d^3*i^3*(c + d*x)) + (3*b^2*B*g^2*n*Log[c + d*x])/(2*d^3*i^3) - (b^2*B*g^2*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^3*i^3) + (b^2*g^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/(d^3*i^3) + (b^2*B*g^2*n*Log[c + d*x]^2)/(2*d^3*i^3) - (b^2*B*g^2*n*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^3*i^3)","A",18,11,43,0.2558,1,"{2528, 2525, 12, 44, 2524, 2418, 2394, 2393, 2391, 2390, 2301}"
153,1,201,0,0.316962,"\int \frac{(a g+b g x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{(c i+d i x)^3} \, dx","Int[((a*g + b*g*x)*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(c*i + d*i*x)^3,x]","-\frac{b g \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{d^2 i^3 (c+d x)}+\frac{g (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 d^2 i^3 (c+d x)^2}+\frac{b^2 B g n \log (a+b x)}{2 d^2 i^3 (b c-a d)}-\frac{b^2 B g n \log (c+d x)}{2 d^2 i^3 (b c-a d)}-\frac{B g n (b c-a d)}{4 d^2 i^3 (c+d x)^2}+\frac{b B g n}{2 d^2 i^3 (c+d x)}","\frac{g (a+b x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 i^3 (c+d x)^2 (b c-a d)}-\frac{B g n (a+b x)^2}{4 i^3 (c+d x)^2 (b c-a d)}",1,"-(B*(b*c - a*d)*g*n)/(4*d^2*i^3*(c + d*x)^2) + (b*B*g*n)/(2*d^2*i^3*(c + d*x)) + (b^2*B*g*n*Log[a + b*x])/(2*d^2*(b*c - a*d)*i^3) + ((b*c - a*d)*g*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(2*d^2*i^3*(c + d*x)^2) - (b*g*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(d^2*i^3*(c + d*x)) - (b^2*B*g*n*Log[c + d*x])/(2*d^2*(b*c - a*d)*i^3)","B",10,4,41,0.09756,1,"{2528, 2525, 12, 44}"
154,1,151,0,0.1042823,"\int \frac{A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{(c i+d i x)^3} \, dx","Int[(A + B*Log[e*((a + b*x)/(c + d*x))^n])/(c*i + d*i*x)^3,x]","-\frac{B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A}{2 d i^3 (c+d x)^2}+\frac{b^2 B n \log (a+b x)}{2 d i^3 (b c-a d)^2}-\frac{b^2 B n \log (c+d x)}{2 d i^3 (b c-a d)^2}+\frac{b B n}{2 d i^3 (c+d x) (b c-a d)}+\frac{B n}{4 d i^3 (c+d x)^2}","-\frac{B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A}{2 d i^3 (c+d x)^2}+\frac{b^2 B n \log (a+b x)}{2 d i^3 (b c-a d)^2}-\frac{b^2 B n \log (c+d x)}{2 d i^3 (b c-a d)^2}+\frac{b B n}{2 d i^3 (c+d x) (b c-a d)}+\frac{B n}{4 d i^3 (c+d x)^2}",1,"(B*n)/(4*d*i^3*(c + d*x)^2) + (b*B*n)/(2*d*(b*c - a*d)*i^3*(c + d*x)) + (b^2*B*n*Log[a + b*x])/(2*d*(b*c - a*d)^2*i^3) - (A + B*Log[e*((a + b*x)/(c + d*x))^n])/(2*d*i^3*(c + d*x)^2) - (b^2*B*n*Log[c + d*x])/(2*d*(b*c - a*d)^2*i^3)","A",4,3,33,0.09091,1,"{2525, 12, 44}"
155,1,557,0,0.8688672,"\int \frac{A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{(a g+b g x) (c i+d i x)^3} \, dx","Int[(A + B*Log[e*((a + b*x)/(c + d*x))^n])/((a*g + b*g*x)*(c*i + d*i*x)^3),x]","\frac{b^2 B n \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{g i^3 (b c-a d)^3}+\frac{b^2 B n \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{g i^3 (b c-a d)^3}+\frac{b^2 \log (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g i^3 (b c-a d)^3}-\frac{b^2 \log (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g i^3 (b c-a d)^3}+\frac{b \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g i^3 (c+d x) (b c-a d)^2}+\frac{B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A}{2 g i^3 (c+d x)^2 (b c-a d)}-\frac{b^2 B n \log ^2(a+b x)}{2 g i^3 (b c-a d)^3}-\frac{b^2 B n \log ^2(c+d x)}{2 g i^3 (b c-a d)^3}-\frac{3 b^2 B n \log (a+b x)}{2 g i^3 (b c-a d)^3}+\frac{3 b^2 B n \log (c+d x)}{2 g i^3 (b c-a d)^3}+\frac{b^2 B n \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{g i^3 (b c-a d)^3}+\frac{b^2 B n \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{g i^3 (b c-a d)^3}-\frac{3 b B n}{2 g i^3 (c+d x) (b c-a d)^2}-\frac{B n}{4 g i^3 (c+d x)^2 (b c-a d)}","\frac{b^2 \log \left(\frac{a+b x}{c+d x}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g i^3 (b c-a d)^3}+\frac{d^2 (a+b x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 g i^3 (c+d x)^2 (b c-a d)^3}-\frac{2 b d (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g i^3 (c+d x) (b c-a d)^3}-\frac{b^2 B n \log ^2\left(\frac{a+b x}{c+d x}\right)}{2 g i^3 (b c-a d)^3}-\frac{B n \left(4 b-\frac{d (a+b x)}{c+d x}\right)^2}{4 g i^3 (b c-a d)^3}",1,"-(B*n)/(4*(b*c - a*d)*g*i^3*(c + d*x)^2) - (3*b*B*n)/(2*(b*c - a*d)^2*g*i^3*(c + d*x)) - (3*b^2*B*n*Log[a + b*x])/(2*(b*c - a*d)^3*g*i^3) - (b^2*B*n*Log[a + b*x]^2)/(2*(b*c - a*d)^3*g*i^3) + (A + B*Log[e*((a + b*x)/(c + d*x))^n])/(2*(b*c - a*d)*g*i^3*(c + d*x)^2) + (b*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/((b*c - a*d)^2*g*i^3*(c + d*x)) + (b^2*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/((b*c - a*d)^3*g*i^3) + (3*b^2*B*n*Log[c + d*x])/(2*(b*c - a*d)^3*g*i^3) + (b^2*B*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^3*g*i^3) - (b^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/((b*c - a*d)^3*g*i^3) - (b^2*B*n*Log[c + d*x]^2)/(2*(b*c - a*d)^3*g*i^3) + (b^2*B*n*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g*i^3) + (b^2*B*n*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^3*g*i^3) + (b^2*B*n*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g*i^3)","C",26,11,43,0.2558,1,"{2528, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 2525, 12, 44}"
156,1,657,0,1.0832283,"\int \frac{A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{(a g+b g x)^2 (c i+d i x)^3} \, dx","Int[(A + B*Log[e*((a + b*x)/(c + d*x))^n])/((a*g + b*g*x)^2*(c*i + d*i*x)^3),x]","-\frac{3 b^2 B d n \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{g^2 i^3 (b c-a d)^4}-\frac{3 b^2 B d n \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{g^2 i^3 (b c-a d)^4}-\frac{3 b^2 d \log (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^2 i^3 (b c-a d)^4}-\frac{b^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^2 i^3 (a+b x) (b c-a d)^3}+\frac{3 b^2 d \log (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^2 i^3 (b c-a d)^4}-\frac{2 b d \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^2 i^3 (c+d x) (b c-a d)^3}-\frac{d \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 g^2 i^3 (c+d x)^2 (b c-a d)^2}-\frac{b^2 B n}{g^2 i^3 (a+b x) (b c-a d)^3}+\frac{3 b^2 B d n \log ^2(a+b x)}{2 g^2 i^3 (b c-a d)^4}+\frac{3 b^2 B d n \log ^2(c+d x)}{2 g^2 i^3 (b c-a d)^4}+\frac{3 b^2 B d n \log (a+b x)}{2 g^2 i^3 (b c-a d)^4}-\frac{3 b^2 B d n \log (c+d x)}{2 g^2 i^3 (b c-a d)^4}-\frac{3 b^2 B d n \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{g^2 i^3 (b c-a d)^4}-\frac{3 b^2 B d n \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{g^2 i^3 (b c-a d)^4}+\frac{5 b B d n}{2 g^2 i^3 (c+d x) (b c-a d)^3}+\frac{B d n}{4 g^2 i^3 (c+d x)^2 (b c-a d)^2}","-\frac{b^3 (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^2 i^3 (a+b x) (b c-a d)^4}-\frac{3 b^2 d \log \left(\frac{a+b x}{c+d x}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^2 i^3 (b c-a d)^4}+\frac{3 b d^2 (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^2 i^3 (c+d x) (b c-a d)^4}-\frac{d^3 (a+b x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 g^2 i^3 (c+d x)^2 (b c-a d)^4}-\frac{b^3 B n (c+d x)}{g^2 i^3 (a+b x) (b c-a d)^4}+\frac{3 b^2 B d n \log ^2\left(\frac{a+b x}{c+d x}\right)}{2 g^2 i^3 (b c-a d)^4}-\frac{3 b B d^2 n (a+b x)}{g^2 i^3 (c+d x) (b c-a d)^4}+\frac{B d^3 n (a+b x)^2}{4 g^2 i^3 (c+d x)^2 (b c-a d)^4}",1,"-((b^2*B*n)/((b*c - a*d)^3*g^2*i^3*(a + b*x))) + (B*d*n)/(4*(b*c - a*d)^2*g^2*i^3*(c + d*x)^2) + (5*b*B*d*n)/(2*(b*c - a*d)^3*g^2*i^3*(c + d*x)) + (3*b^2*B*d*n*Log[a + b*x])/(2*(b*c - a*d)^4*g^2*i^3) + (3*b^2*B*d*n*Log[a + b*x]^2)/(2*(b*c - a*d)^4*g^2*i^3) - (b^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/((b*c - a*d)^3*g^2*i^3*(a + b*x)) - (d*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(2*(b*c - a*d)^2*g^2*i^3*(c + d*x)^2) - (2*b*d*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/((b*c - a*d)^3*g^2*i^3*(c + d*x)) - (3*b^2*d*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/((b*c - a*d)^4*g^2*i^3) - (3*b^2*B*d*n*Log[c + d*x])/(2*(b*c - a*d)^4*g^2*i^3) - (3*b^2*B*d*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^4*g^2*i^3) + (3*b^2*d*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/((b*c - a*d)^4*g^2*i^3) + (3*b^2*B*d*n*Log[c + d*x]^2)/(2*(b*c - a*d)^4*g^2*i^3) - (3*b^2*B*d*n*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^2*i^3) - (3*b^2*B*d*n*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^4*g^2*i^3) - (3*b^2*B*d*n*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^2*i^3)","C",30,11,43,0.2558,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391}"
157,1,701,0,1.3889762,"\int \frac{A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{(a g+b g x)^3 (c i+d i x)^3} \, dx","Int[(A + B*Log[e*((a + b*x)/(c + d*x))^n])/((a*g + b*g*x)^3*(c*i + d*i*x)^3),x]","\frac{6 b^2 B d^2 n \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{g^3 i^3 (b c-a d)^5}+\frac{6 b^2 B d^2 n \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{g^3 i^3 (b c-a d)^5}+\frac{6 b^2 d^2 \log (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^3 i^3 (b c-a d)^5}-\frac{6 b^2 d^2 \log (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^3 i^3 (b c-a d)^5}+\frac{3 b^2 d \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^3 i^3 (a+b x) (b c-a d)^4}-\frac{b^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 g^3 i^3 (a+b x)^2 (b c-a d)^3}+\frac{3 b d^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^3 i^3 (c+d x) (b c-a d)^4}+\frac{d^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 g^3 i^3 (c+d x)^2 (b c-a d)^3}-\frac{3 b^2 B d^2 n \log ^2(a+b x)}{g^3 i^3 (b c-a d)^5}-\frac{3 b^2 B d^2 n \log ^2(c+d x)}{g^3 i^3 (b c-a d)^5}+\frac{6 b^2 B d^2 n \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{g^3 i^3 (b c-a d)^5}+\frac{6 b^2 B d^2 n \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{g^3 i^3 (b c-a d)^5}+\frac{7 b^2 B d n}{2 g^3 i^3 (a+b x) (b c-a d)^4}-\frac{b^2 B n}{4 g^3 i^3 (a+b x)^2 (b c-a d)^3}-\frac{7 b B d^2 n}{2 g^3 i^3 (c+d x) (b c-a d)^4}-\frac{B d^2 n}{4 g^3 i^3 (c+d x)^2 (b c-a d)^3}","\frac{6 b^2 d^2 \log \left(\frac{a+b x}{c+d x}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^3 i^3 (b c-a d)^5}-\frac{b^4 (c+d x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 g^3 i^3 (a+b x)^2 (b c-a d)^5}+\frac{4 b^3 d (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^3 i^3 (a+b x) (b c-a d)^5}-\frac{4 b d^3 (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^3 i^3 (c+d x) (b c-a d)^5}+\frac{d^4 (a+b x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 g^3 i^3 (c+d x)^2 (b c-a d)^5}-\frac{3 b^2 B d^2 n \log ^2\left(\frac{a+b x}{c+d x}\right)}{g^3 i^3 (b c-a d)^5}-\frac{b^4 B n (c+d x)^2}{4 g^3 i^3 (a+b x)^2 (b c-a d)^5}+\frac{4 b^3 B d n (c+d x)}{g^3 i^3 (a+b x) (b c-a d)^5}+\frac{4 b B d^3 n (a+b x)}{g^3 i^3 (c+d x) (b c-a d)^5}-\frac{B d^4 n (a+b x)^2}{4 g^3 i^3 (c+d x)^2 (b c-a d)^5}",1,"-(b^2*B*n)/(4*(b*c - a*d)^3*g^3*i^3*(a + b*x)^2) + (7*b^2*B*d*n)/(2*(b*c - a*d)^4*g^3*i^3*(a + b*x)) - (B*d^2*n)/(4*(b*c - a*d)^3*g^3*i^3*(c + d*x)^2) - (7*b*B*d^2*n)/(2*(b*c - a*d)^4*g^3*i^3*(c + d*x)) - (3*b^2*B*d^2*n*Log[a + b*x]^2)/((b*c - a*d)^5*g^3*i^3) - (b^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(2*(b*c - a*d)^3*g^3*i^3*(a + b*x)^2) + (3*b^2*d*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/((b*c - a*d)^4*g^3*i^3*(a + b*x)) + (d^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(2*(b*c - a*d)^3*g^3*i^3*(c + d*x)^2) + (3*b*d^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/((b*c - a*d)^4*g^3*i^3*(c + d*x)) + (6*b^2*d^2*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/((b*c - a*d)^5*g^3*i^3) + (6*b^2*B*d^2*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^5*g^3*i^3) - (6*b^2*d^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/((b*c - a*d)^5*g^3*i^3) - (3*b^2*B*d^2*n*Log[c + d*x]^2)/((b*c - a*d)^5*g^3*i^3) + (6*b^2*B*d^2*n*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^5*g^3*i^3) + (6*b^2*B*d^2*n*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^5*g^3*i^3) + (6*b^2*B*d^2*n*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^5*g^3*i^3)","C",34,11,43,0.2558,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391}"
158,1,859,0,1.691494,"\int \frac{A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{(a g+b g x)^4 (c i+d i x)^3} \, dx","Int[(A + B*Log[e*((a + b*x)/(c + d*x))^n])/((a*g + b*g*x)^4*(c*i + d*i*x)^3),x]","\frac{5 b^2 B n \log ^2(a+b x) d^3}{(b c-a d)^6 g^4 i^3}+\frac{5 b^2 B n \log ^2(c+d x) d^3}{(b c-a d)^6 g^4 i^3}-\frac{10 b^2 B n \log (a+b x) d^3}{3 (b c-a d)^6 g^4 i^3}-\frac{10 b^2 \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) d^3}{(b c-a d)^6 g^4 i^3}-\frac{4 b \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) d^3}{(b c-a d)^5 g^4 i^3 (c+d x)}-\frac{\left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) d^3}{2 (b c-a d)^4 g^4 i^3 (c+d x)^2}+\frac{10 b^2 B n \log (c+d x) d^3}{3 (b c-a d)^6 g^4 i^3}-\frac{10 b^2 B n \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) d^3}{(b c-a d)^6 g^4 i^3}+\frac{10 b^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \log (c+d x) d^3}{(b c-a d)^6 g^4 i^3}-\frac{10 b^2 B n \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) d^3}{(b c-a d)^6 g^4 i^3}-\frac{10 b^2 B n \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) d^3}{(b c-a d)^6 g^4 i^3}-\frac{10 b^2 B n \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) d^3}{(b c-a d)^6 g^4 i^3}+\frac{9 b B n d^3}{2 (b c-a d)^5 g^4 i^3 (c+d x)}+\frac{B n d^3}{4 (b c-a d)^4 g^4 i^3 (c+d x)^2}-\frac{6 b^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) d^2}{(b c-a d)^5 g^4 i^3 (a+b x)}-\frac{47 b^2 B n d^2}{6 (b c-a d)^5 g^4 i^3 (a+b x)}+\frac{3 b^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) d}{2 (b c-a d)^4 g^4 i^3 (a+b x)^2}+\frac{11 b^2 B n d}{12 (b c-a d)^4 g^4 i^3 (a+b x)^2}-\frac{b^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{3 (b c-a d)^3 g^4 i^3 (a+b x)^3}-\frac{b^2 B n}{9 (b c-a d)^3 g^4 i^3 (a+b x)^3}","-\frac{10 b^3 d^2 (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^4 i^3 (a+b x) (b c-a d)^6}-\frac{10 b^2 d^3 \log \left(\frac{a+b x}{c+d x}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^4 i^3 (b c-a d)^6}-\frac{b^5 (c+d x)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{3 g^4 i^3 (a+b x)^3 (b c-a d)^6}+\frac{5 b^4 d (c+d x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 g^4 i^3 (a+b x)^2 (b c-a d)^6}+\frac{5 b d^4 (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^4 i^3 (c+d x) (b c-a d)^6}-\frac{d^5 (a+b x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 g^4 i^3 (c+d x)^2 (b c-a d)^6}-\frac{10 b^3 B d^2 n (c+d x)}{g^4 i^3 (a+b x) (b c-a d)^6}+\frac{5 b^2 B d^3 n \log ^2\left(\frac{a+b x}{c+d x}\right)}{g^4 i^3 (b c-a d)^6}-\frac{b^5 B n (c+d x)^3}{9 g^4 i^3 (a+b x)^3 (b c-a d)^6}+\frac{5 b^4 B d n (c+d x)^2}{4 g^4 i^3 (a+b x)^2 (b c-a d)^6}-\frac{5 b B d^4 n (a+b x)}{g^4 i^3 (c+d x) (b c-a d)^6}+\frac{B d^5 n (a+b x)^2}{4 g^4 i^3 (c+d x)^2 (b c-a d)^6}",1,"-(b^2*B*n)/(9*(b*c - a*d)^3*g^4*i^3*(a + b*x)^3) + (11*b^2*B*d*n)/(12*(b*c - a*d)^4*g^4*i^3*(a + b*x)^2) - (47*b^2*B*d^2*n)/(6*(b*c - a*d)^5*g^4*i^3*(a + b*x)) + (B*d^3*n)/(4*(b*c - a*d)^4*g^4*i^3*(c + d*x)^2) + (9*b*B*d^3*n)/(2*(b*c - a*d)^5*g^4*i^3*(c + d*x)) - (10*b^2*B*d^3*n*Log[a + b*x])/(3*(b*c - a*d)^6*g^4*i^3) + (5*b^2*B*d^3*n*Log[a + b*x]^2)/((b*c - a*d)^6*g^4*i^3) - (b^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(3*(b*c - a*d)^3*g^4*i^3*(a + b*x)^3) + (3*b^2*d*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(2*(b*c - a*d)^4*g^4*i^3*(a + b*x)^2) - (6*b^2*d^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/((b*c - a*d)^5*g^4*i^3*(a + b*x)) - (d^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(2*(b*c - a*d)^4*g^4*i^3*(c + d*x)^2) - (4*b*d^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/((b*c - a*d)^5*g^4*i^3*(c + d*x)) - (10*b^2*d^3*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/((b*c - a*d)^6*g^4*i^3) + (10*b^2*B*d^3*n*Log[c + d*x])/(3*(b*c - a*d)^6*g^4*i^3) - (10*b^2*B*d^3*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^6*g^4*i^3) + (10*b^2*d^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/((b*c - a*d)^6*g^4*i^3) + (5*b^2*B*d^3*n*Log[c + d*x]^2)/((b*c - a*d)^6*g^4*i^3) - (10*b^2*B*d^3*n*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^6*g^4*i^3) - (10*b^2*B*d^3*n*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^6*g^4*i^3) - (10*b^2*B*d^3*n*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^6*g^4*i^3)","C",38,11,43,0.2558,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391}"
159,1,670,0,1.9011182,"\int (a g+b g x)^3 (c i+d i x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 \, dx","Int[(a*g + b*g*x)^3*(c*i + d*i*x)*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2,x]","-\frac{B^2 g^3 i n^2 (b c-a d)^5 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{10 b^2 d^4}+\frac{B g^3 i n (b c-a d)^5 \log (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{10 b^2 d^4}+\frac{B g^3 i n (a+b x)^2 (b c-a d)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{20 b^2 d^2}-\frac{B g^3 i n (a+b x)^3 (b c-a d)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{30 b^2 d}+\frac{g^3 i (a+b x)^4 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{4 b^2}-\frac{B g^3 i n (a+b x)^4 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{10 b^2}+\frac{d g^3 i (a+b x)^5 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{5 b^2}-\frac{A B g^3 i n x (b c-a d)^4}{10 b d^3}-\frac{B^2 g^3 i n (a+b x) (b c-a d)^4 \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{10 b^2 d^3}-\frac{B^2 g^3 i n^2 (a+b x)^2 (b c-a d)^3}{30 b^2 d^2}+\frac{B^2 g^3 i n^2 (b c-a d)^5 \log ^2(c+d x)}{20 b^2 d^4}+\frac{B^2 g^3 i n^2 (b c-a d)^5 \log (c+d x)}{12 b^2 d^4}-\frac{B^2 g^3 i n^2 (b c-a d)^5 \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{10 b^2 d^4}+\frac{B^2 g^3 i n^2 (a+b x)^3 (b c-a d)^2}{30 b^2 d}+\frac{B^2 g^3 i n^2 x (b c-a d)^4}{60 b d^3}","-\frac{B^2 g^3 i n^2 (b c-a d)^5 \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{10 b^2 d^4}-\frac{B g^3 i n (b c-a d)^5 \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(6 B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+6 A+11 B n\right)}{60 b^2 d^4}-\frac{B g^3 i n (a+b x) (b c-a d)^4 \left(6 B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+6 A+5 B n\right)}{60 b^2 d^3}+\frac{B g^3 i n (a+b x)^2 (b c-a d)^3 \left(3 B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+3 A+B n\right)}{60 b^2 d^2}-\frac{B g^3 i n (a+b x)^3 (b c-a d)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{30 b^2 d}+\frac{g^3 i (a+b x)^4 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{20 b^2}-\frac{B g^3 i n (a+b x)^4 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{10 b^2}+\frac{g^3 i (a+b x)^4 (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{5 b}-\frac{B^2 g^3 i n^2 (b c-a d)^5 \log (c+d x)}{10 b^2 d^4}+\frac{3 B^2 g^3 i n^2 x (b c-a d)^4}{10 b d^3}-\frac{3 B^2 g^3 i n^2 (c+d x)^2 (b c-a d)^3}{20 d^4}+\frac{b B^2 g^3 i n^2 (c+d x)^3 (b c-a d)^2}{30 d^4}",1,"-(A*B*(b*c - a*d)^4*g^3*i*n*x)/(10*b*d^3) + (B^2*(b*c - a*d)^4*g^3*i*n^2*x)/(60*b*d^3) - (B^2*(b*c - a*d)^3*g^3*i*n^2*(a + b*x)^2)/(30*b^2*d^2) + (B^2*(b*c - a*d)^2*g^3*i*n^2*(a + b*x)^3)/(30*b^2*d) - (B^2*(b*c - a*d)^4*g^3*i*n*(a + b*x)*Log[e*((a + b*x)/(c + d*x))^n])/(10*b^2*d^3) + (B*(b*c - a*d)^3*g^3*i*n*(a + b*x)^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(20*b^2*d^2) - (B*(b*c - a*d)^2*g^3*i*n*(a + b*x)^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(30*b^2*d) - (B*(b*c - a*d)*g^3*i*n*(a + b*x)^4*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(10*b^2) + ((b*c - a*d)*g^3*i*(a + b*x)^4*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(4*b^2) + (d*g^3*i*(a + b*x)^5*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(5*b^2) + (B^2*(b*c - a*d)^5*g^3*i*n^2*Log[c + d*x])/(12*b^2*d^4) - (B^2*(b*c - a*d)^5*g^3*i*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(10*b^2*d^4) + (B*(b*c - a*d)^5*g^3*i*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/(10*b^2*d^4) + (B^2*(b*c - a*d)^5*g^3*i*n^2*Log[c + d*x]^2)/(20*b^2*d^4) - (B^2*(b*c - a*d)^5*g^3*i*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(10*b^2*d^4)","A",52,13,43,0.3023,1,"{2528, 2525, 12, 2486, 31, 43, 2524, 2418, 2394, 2393, 2391, 2390, 2301}"
160,1,578,0,1.5863183,"\int (a g+b g x)^2 (c i+d i x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 \, dx","Int[(a*g + b*g*x)^2*(c*i + d*i*x)*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2,x]","\frac{B^2 g^2 i n^2 (b c-a d)^4 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{6 b^2 d^3}-\frac{B g^2 i n (b c-a d)^4 \log (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{6 b^2 d^3}-\frac{B g^2 i n (a+b x)^2 (b c-a d)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{12 b^2 d}+\frac{g^2 i (a+b x)^3 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{3 b^2}-\frac{B g^2 i n (a+b x)^3 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{6 b^2}+\frac{d g^2 i (a+b x)^4 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{4 b^2}+\frac{A B g^2 i n x (b c-a d)^3}{6 b d^2}+\frac{B^2 g^2 i n (a+b x) (b c-a d)^3 \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{6 b^2 d^2}-\frac{B^2 g^2 i n^2 (b c-a d)^4 \log ^2(c+d x)}{12 b^2 d^3}-\frac{B^2 g^2 i n^2 (b c-a d)^4 \log (c+d x)}{12 b^2 d^3}+\frac{B^2 g^2 i n^2 (b c-a d)^4 \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{6 b^2 d^3}+\frac{B^2 g^2 i n^2 (a+b x)^2 (b c-a d)^2}{12 b^2 d}-\frac{B^2 g^2 i n^2 x (b c-a d)^3}{12 b d^2}","\frac{B^2 g^2 i n^2 (b c-a d)^4 \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{6 b^2 d^3}+\frac{B g^2 i n (b c-a d)^4 \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(2 B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+2 A+3 B n\right)}{12 b^2 d^3}+\frac{B g^2 i n (a+b x) (b c-a d)^3 \left(2 B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+2 A+B n\right)}{12 b^2 d^2}-\frac{B g^2 i n (a+b x)^2 (b c-a d)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{12 b^2 d}+\frac{g^2 i (a+b x)^3 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{12 b^2}-\frac{B g^2 i n (a+b x)^3 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{6 b^2}+\frac{g^2 i (a+b x)^3 (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{4 b}+\frac{B^2 g^2 i n^2 (b c-a d)^4 \log (c+d x)}{6 b^2 d^3}-\frac{B^2 g^2 i n^2 x (b c-a d)^3}{3 b d^2}+\frac{B^2 g^2 i n^2 (c+d x)^2 (b c-a d)^2}{12 d^3}",1,"(A*B*(b*c - a*d)^3*g^2*i*n*x)/(6*b*d^2) - (B^2*(b*c - a*d)^3*g^2*i*n^2*x)/(12*b*d^2) + (B^2*(b*c - a*d)^2*g^2*i*n^2*(a + b*x)^2)/(12*b^2*d) + (B^2*(b*c - a*d)^3*g^2*i*n*(a + b*x)*Log[e*((a + b*x)/(c + d*x))^n])/(6*b^2*d^2) - (B*(b*c - a*d)^2*g^2*i*n*(a + b*x)^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(12*b^2*d) - (B*(b*c - a*d)*g^2*i*n*(a + b*x)^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(6*b^2) + ((b*c - a*d)*g^2*i*(a + b*x)^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(3*b^2) + (d*g^2*i*(a + b*x)^4*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(4*b^2) - (B^2*(b*c - a*d)^4*g^2*i*n^2*Log[c + d*x])/(12*b^2*d^3) + (B^2*(b*c - a*d)^4*g^2*i*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(6*b^2*d^3) - (B*(b*c - a*d)^4*g^2*i*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/(6*b^2*d^3) - (B^2*(b*c - a*d)^4*g^2*i*n^2*Log[c + d*x]^2)/(12*b^2*d^3) + (B^2*(b*c - a*d)^4*g^2*i*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(6*b^2*d^3)","A",44,13,43,0.3023,1,"{2528, 2525, 12, 2486, 31, 43, 2524, 2418, 2394, 2393, 2391, 2390, 2301}"
161,1,1323,0,2.8782673,"\int (a g+b g x) (c i+d i x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 \, dx","Int[(a*g + b*g*x)*(c*i + d*i*x)*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2,x]","-\frac{B^2 d g i n^2 \log ^2(a+b x) a^3}{3 b^2}+\frac{2 B d g i n \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) a^3}{3 b^2}+\frac{2 B^2 d g i n^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) a^3}{3 b^2}+\frac{2 B^2 d g i n^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) a^3}{3 b^2}-\frac{B^2 c g i n^2 \log ^2(a+b x) a^2}{b}+\frac{B^2 (b c+a d) g i n^2 \log ^2(a+b x) a^2}{2 b^2}+\frac{B^2 (b c-a d) g i n^2 \log (a+b x) a^2}{3 b^2}+\frac{2 B c g i n \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) a^2}{b}-\frac{B (b c+a d) g i n \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) a^2}{b^2}+\frac{2 B^2 c g i n^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) a^2}{b}-\frac{B^2 (b c+a d) g i n^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) a^2}{b^2}+\frac{2 B^2 c g i n^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) a^2}{b}-\frac{B^2 (b c+a d) g i n^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) a^2}{b^2}+c g i x \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 a-\frac{B^2 c^2 g i n^2 \log ^2(c+d x) a}{d}+\frac{2 B^2 c^2 g i n^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) a}{d}-\frac{2 B c^2 g i n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \log (c+d x) a}{d}+\frac{2 B^2 c^2 g i n^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) a}{d}+\frac{1}{3} b d g i x^3 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2+\frac{1}{2} (b c+a d) g i x^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2+\frac{B^2 c^2 (b c+a d) g i n^2 \log ^2(c+d x)}{2 d^2}-\frac{b B^2 c^3 g i n^2 \log ^2(c+d x)}{3 d^2}+\frac{B^2 (b c-a d)^2 g i n^2 x}{3 b d}-\frac{2}{3} A b B \left(\frac{a^2}{b^2}-\frac{c^2}{d^2}\right) d g i n x-\frac{A B (b c-a d) (b c+a d) g i n x}{b d}-\frac{B^2 (b c-a d) (b c+a d) g i n (a+b x) \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{3 b^2 d}-\frac{1}{3} B (b c-a d) g i n x^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)-\frac{B^2 c^2 (b c-a d) g i n^2 \log (c+d x)}{3 d^2}+\frac{B^2 (b c-a d)^2 (b c+a d) g i n^2 \log (c+d x)}{3 b^2 d^2}-\frac{B^2 c^2 (b c+a d) g i n^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{d^2}+\frac{2 b B^2 c^3 g i n^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{3 d^2}+\frac{B c^2 (b c+a d) g i n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \log (c+d x)}{d^2}-\frac{2 b B c^3 g i n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \log (c+d x)}{3 d^2}-\frac{B^2 c^2 (b c+a d) g i n^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^2}+\frac{2 b B^2 c^3 g i n^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{3 d^2}","-\frac{B^2 g i n^2 (b c-a d)^3 \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{3 b^2 d^2}-\frac{B g i n (b c-a d)^3 \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A+B n\right)}{3 b^2 d^2}-\frac{B g i n (a+b x) (b c-a d)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{3 b^2 d}+\frac{g i (a+b x)^2 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{6 b^2}-\frac{B g i n (a+b x)^2 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{3 b^2}+\frac{g i (a+b x)^2 (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{3 b}-\frac{B^2 g i n^2 (b c-a d)^3 \log (c+d x)}{3 b^2 d^2}+\frac{B^2 g i n^2 x (b c-a d)^2}{3 b d}",1,"(-2*A*b*B*(a^2/b^2 - c^2/d^2)*d*g*i*n*x)/3 - (A*B*(b*c - a*d)*(b*c + a*d)*g*i*n*x)/(b*d) + (B^2*(b*c - a*d)^2*g*i*n^2*x)/(3*b*d) + (a^2*B^2*(b*c - a*d)*g*i*n^2*Log[a + b*x])/(3*b^2) - (a^2*B^2*c*g*i*n^2*Log[a + b*x]^2)/b - (a^3*B^2*d*g*i*n^2*Log[a + b*x]^2)/(3*b^2) + (a^2*B^2*(b*c + a*d)*g*i*n^2*Log[a + b*x]^2)/(2*b^2) - (B^2*(b*c - a*d)*(b*c + a*d)*g*i*n*(a + b*x)*Log[e*((a + b*x)/(c + d*x))^n])/(3*b^2*d) - (B*(b*c - a*d)*g*i*n*x^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/3 + (2*a^2*B*c*g*i*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/b + (2*a^3*B*d*g*i*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(3*b^2) - (a^2*B*(b*c + a*d)*g*i*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/b^2 + a*c*g*i*x*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2 + ((b*c + a*d)*g*i*x^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/2 + (b*d*g*i*x^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/3 - (B^2*c^2*(b*c - a*d)*g*i*n^2*Log[c + d*x])/(3*d^2) + (B^2*(b*c - a*d)^2*(b*c + a*d)*g*i*n^2*Log[c + d*x])/(3*b^2*d^2) + (2*b*B^2*c^3*g*i*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(3*d^2) + (2*a*B^2*c^2*g*i*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/d - (B^2*c^2*(b*c + a*d)*g*i*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/d^2 - (2*b*B*c^3*g*i*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/(3*d^2) - (2*a*B*c^2*g*i*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/d + (B*c^2*(b*c + a*d)*g*i*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/d^2 - (b*B^2*c^3*g*i*n^2*Log[c + d*x]^2)/(3*d^2) - (a*B^2*c^2*g*i*n^2*Log[c + d*x]^2)/d + (B^2*c^2*(b*c + a*d)*g*i*n^2*Log[c + d*x]^2)/(2*d^2) + (2*a^2*B^2*c*g*i*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/b + (2*a^3*B^2*d*g*i*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(3*b^2) - (a^2*B^2*(b*c + a*d)*g*i*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/b^2 + (2*a^2*B^2*c*g*i*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/b + (2*a^3*B^2*d*g*i*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(3*b^2) - (a^2*B^2*(b*c + a*d)*g*i*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/b^2 + (2*b*B^2*c^3*g*i*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(3*d^2) + (2*a*B^2*c^2*g*i*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/d - (B^2*c^2*(b*c + a*d)*g*i*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/d^2","B",72,14,41,0.3415,1,"{2528, 2523, 12, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 2525, 2486, 31, 72}"
162,1,307,0,0.4807228,"\int (c i+d i x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 \, dx","Int[(c*i + d*i*x)*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2,x]","-\frac{B^2 i n^2 (b c-a d)^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{b^2 d}-\frac{B i n (b c-a d)^2 \log (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^2 d}+\frac{i (c+d x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{2 d}-\frac{A B i n x (b c-a d)}{b}-\frac{B^2 i n (a+b x) (b c-a d) \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{b^2}+\frac{B^2 i n^2 (b c-a d)^2 \log ^2(a+b x)}{2 b^2 d}+\frac{B^2 i n^2 (b c-a d)^2 \log (c+d x)}{b^2 d}-\frac{B^2 i n^2 (b c-a d)^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{b^2 d}","-\frac{B^2 i n^2 (b c-a d)^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{d (a+b x)}\right)}{b^2 d}+\frac{B i n (b c-a d)^2 \log \left(1-\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^2 d}-\frac{B i n (a+b x) (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^2}+\frac{i (c+d x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{2 d}+\frac{B^2 i n^2 (b c-a d)^2 \log (c+d x)}{b^2 d}",1,"-((A*B*(b*c - a*d)*i*n*x)/b) + (B^2*(b*c - a*d)^2*i*n^2*Log[a + b*x]^2)/(2*b^2*d) - (B^2*(b*c - a*d)*i*n*(a + b*x)*Log[e*((a + b*x)/(c + d*x))^n])/b^2 - (B*(b*c - a*d)^2*i*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(b^2*d) + (i*(c + d*x)^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(2*d) + (B^2*(b*c - a*d)^2*i*n^2*Log[c + d*x])/(b^2*d) - (B^2*(b*c - a*d)^2*i*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^2*d) - (B^2*(b*c - a*d)^2*i*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^2*d)","A",15,12,33,0.3636,1,"{2525, 12, 2528, 2486, 31, 2524, 2418, 2390, 2301, 2394, 2393, 2391}"
163,1,692,0,2.8740941,"\int \frac{(c i+d i x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{a g+b g x} \, dx","Int[((c*i + d*i*x)*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(a*g + b*g*x),x]","\frac{2 A B i n (b c-a d) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{b^2 g}+\frac{2 B^2 i n (b c-a d) \text{PolyLog}\left(2,\frac{b c-a d}{d (a+b x)}+1\right) \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{b^2 g}+\frac{2 a B^2 d i n^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{b^2 g}+\frac{2 B^2 i n^2 (b c-a d) \text{PolyLog}\left(3,\frac{b c-a d}{d (a+b x)}+1\right)}{b^2 g}+\frac{2 B^2 c i n^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{b g}+\frac{2 a B d i n \log (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^2 g}+\frac{i (b c-a d) \log (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{b^2 g}-\frac{A B i n (b c-a d) \log ^2(a+b x)}{b^2 g}+\frac{2 A B i n (b c-a d) \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{b^2 g}-\frac{2 B c i n \log (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b g}+\frac{d i x \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{b g}-\frac{B^2 i (b c-a d) \log \left(-\frac{b c-a d}{d (a+b x)}\right) \log ^2\left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{b^2 g}-\frac{B^2 i (b c-a d) \log (a+b x) \log ^2\left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{b^2 g}+\frac{2 a B^2 d i n^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{b^2 g}-\frac{a B^2 d i n^2 \log ^2(a+b x)}{b^2 g}+\frac{2 B^2 c i n^2 \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{b g}-\frac{B^2 c i n^2 \log ^2(c+d x)}{b g}","\frac{2 B i n (b c-a d) \text{PolyLog}\left(2,\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^2 g}+\frac{2 B^2 i n^2 (b c-a d) \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{b^2 g}+\frac{2 B^2 i n^2 (b c-a d) \text{PolyLog}\left(3,\frac{b (c+d x)}{d (a+b x)}\right)}{b^2 g}+\frac{2 B i n (b c-a d) \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^2 g}+\frac{d i (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{b^2 g}-\frac{i (b c-a d) \log \left(1-\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{b^2 g}",1,"-((A*B*(b*c - a*d)*i*n*Log[a + b*x]^2)/(b^2*g)) - (a*B^2*d*i*n^2*Log[a + b*x]^2)/(b^2*g) - (B^2*(b*c - a*d)*i*Log[-((b*c - a*d)/(d*(a + b*x)))]*Log[e*((a + b*x)/(c + d*x))^n]^2)/(b^2*g) - (B^2*(b*c - a*d)*i*Log[a + b*x]*Log[e*((a + b*x)/(c + d*x))^n]^2)/(b^2*g) + (2*a*B*d*i*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(b^2*g) + (d*i*x*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(b*g) + ((b*c - a*d)*i*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(b^2*g) + (2*B^2*c*i*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(b*g) - (2*B*c*i*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/(b*g) - (B^2*c*i*n^2*Log[c + d*x]^2)/(b*g) + (2*A*B*(b*c - a*d)*i*n*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^2*g) + (2*a*B^2*d*i*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^2*g) + (2*A*B*(b*c - a*d)*i*n*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^2*g) + (2*a*B^2*d*i*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^2*g) + (2*B^2*c*i*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(b*g) + (2*B^2*(b*c - a*d)*i*n*Log[e*((a + b*x)/(c + d*x))^n]*PolyLog[2, 1 + (b*c - a*d)/(d*(a + b*x))])/(b^2*g) + (2*B^2*(b*c - a*d)*i*n^2*PolyLog[3, 1 + (b*c - a*d)/(d*(a + b*x))])/(b^2*g)","B",36,19,43,0.4419,1,"{2528, 2523, 12, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 6688, 6742, 2411, 2344, 2317, 2507, 2488, 2506, 6610}"
164,1,766,0,2.9453658,"\int \frac{(c i+d i x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(a g+b g x)^2} \, dx","Int[((c*i + d*i*x)*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(a*g + b*g*x)^2,x]","\frac{2 A B d i n \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{b^2 g^2}+\frac{2 B^2 d i n \text{PolyLog}\left(2,\frac{b c-a d}{d (a+b x)}+1\right) \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{b^2 g^2}-\frac{2 B^2 d i n^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{b^2 g^2}-\frac{2 B^2 d i n^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{b^2 g^2}+\frac{2 B^2 d i n^2 \text{PolyLog}\left(3,\frac{b c-a d}{d (a+b x)}+1\right)}{b^2 g^2}-\frac{2 B d i n \log (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^2 g^2}-\frac{2 B i n (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^2 g^2 (a+b x)}+\frac{2 B d i n \log (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^2 g^2}+\frac{d i \log (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{b^2 g^2}-\frac{i (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{b^2 g^2 (a+b x)}+\frac{2 A B d i n \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{b^2 g^2}-\frac{A B d i n \log ^2(a+b x)}{b^2 g^2}-\frac{B^2 d i \log \left(-\frac{b c-a d}{d (a+b x)}\right) \log ^2\left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{b^2 g^2}-\frac{B^2 d i \log (a+b x) \log ^2\left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{b^2 g^2}-\frac{2 B^2 i n^2 (b c-a d)}{b^2 g^2 (a+b x)}-\frac{2 B^2 d i n^2 \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{b^2 g^2}-\frac{2 B^2 d i n^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{b^2 g^2}+\frac{B^2 d i n^2 \log ^2(a+b x)}{b^2 g^2}-\frac{2 B^2 d i n^2 \log (a+b x)}{b^2 g^2}+\frac{B^2 d i n^2 \log ^2(c+d x)}{b^2 g^2}+\frac{2 B^2 d i n^2 \log (c+d x)}{b^2 g^2}","\frac{2 B d i n \text{PolyLog}\left(2,\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^2 g^2}+\frac{2 B^2 d i n^2 \text{PolyLog}\left(3,\frac{b (c+d x)}{d (a+b x)}\right)}{b^2 g^2}-\frac{d i \log \left(1-\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{b^2 g^2}-\frac{2 B i n (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b g^2 (a+b x)}-\frac{i (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{b g^2 (a+b x)}-\frac{2 B^2 i n^2 (c+d x)}{b g^2 (a+b x)}",1,"(-2*B^2*(b*c - a*d)*i*n^2)/(b^2*g^2*(a + b*x)) - (2*B^2*d*i*n^2*Log[a + b*x])/(b^2*g^2) - (A*B*d*i*n*Log[a + b*x]^2)/(b^2*g^2) + (B^2*d*i*n^2*Log[a + b*x]^2)/(b^2*g^2) - (B^2*d*i*Log[-((b*c - a*d)/(d*(a + b*x)))]*Log[e*((a + b*x)/(c + d*x))^n]^2)/(b^2*g^2) - (B^2*d*i*Log[a + b*x]*Log[e*((a + b*x)/(c + d*x))^n]^2)/(b^2*g^2) - (2*B*(b*c - a*d)*i*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(b^2*g^2*(a + b*x)) - (2*B*d*i*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(b^2*g^2) - ((b*c - a*d)*i*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(b^2*g^2*(a + b*x)) + (d*i*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(b^2*g^2) + (2*B^2*d*i*n^2*Log[c + d*x])/(b^2*g^2) - (2*B^2*d*i*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(b^2*g^2) + (2*B*d*i*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/(b^2*g^2) + (B^2*d*i*n^2*Log[c + d*x]^2)/(b^2*g^2) + (2*A*B*d*i*n*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^2*g^2) - (2*B^2*d*i*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^2*g^2) + (2*A*B*d*i*n*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^2*g^2) - (2*B^2*d*i*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^2*g^2) - (2*B^2*d*i*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(b^2*g^2) + (2*B^2*d*i*n*Log[e*((a + b*x)/(c + d*x))^n]*PolyLog[2, 1 + (b*c - a*d)/(d*(a + b*x))])/(b^2*g^2) + (2*B^2*d*i*n^2*PolyLog[3, 1 + (b*c - a*d)/(d*(a + b*x))])/(b^2*g^2)","B",40,20,43,0.4651,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 6688, 6742, 2411, 2344, 2317, 2507, 2488, 2506, 6610}"
165,1,691,0,2.055418,"\int \frac{(c i+d i x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(a g+b g x)^3} \, dx","Int[((c*i + d*i*x)*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(a*g + b*g*x)^3,x]","-\frac{B^2 d^2 i n^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{b^2 g^3 (b c-a d)}-\frac{B^2 d^2 i n^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{b^2 g^3 (b c-a d)}-\frac{B d^2 i n \log (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^2 g^3 (b c-a d)}+\frac{B d^2 i n \log (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^2 g^3 (b c-a d)}-\frac{d i \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{b^2 g^3 (a+b x)}-\frac{B d i n \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^2 g^3 (a+b x)}-\frac{i (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{2 b^2 g^3 (a+b x)^2}-\frac{B i n (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 b^2 g^3 (a+b x)^2}+\frac{B^2 d^2 i n^2 \log ^2(a+b x)}{2 b^2 g^3 (b c-a d)}+\frac{B^2 d^2 i n^2 \log ^2(c+d x)}{2 b^2 g^3 (b c-a d)}-\frac{B^2 d^2 i n^2 \log (a+b x)}{2 b^2 g^3 (b c-a d)}+\frac{B^2 d^2 i n^2 \log (c+d x)}{2 b^2 g^3 (b c-a d)}-\frac{B^2 d^2 i n^2 \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{b^2 g^3 (b c-a d)}-\frac{B^2 d^2 i n^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{b^2 g^3 (b c-a d)}-\frac{B^2 i n^2 (b c-a d)}{4 b^2 g^3 (a+b x)^2}-\frac{B^2 d i n^2}{2 b^2 g^3 (a+b x)}","-\frac{i (c+d x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{2 g^3 (a+b x)^2 (b c-a d)}-\frac{B i n (c+d x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 g^3 (a+b x)^2 (b c-a d)}-\frac{B^2 i n^2 (c+d x)^2}{4 g^3 (a+b x)^2 (b c-a d)}",1,"-(B^2*(b*c - a*d)*i*n^2)/(4*b^2*g^3*(a + b*x)^2) - (B^2*d*i*n^2)/(2*b^2*g^3*(a + b*x)) - (B^2*d^2*i*n^2*Log[a + b*x])/(2*b^2*(b*c - a*d)*g^3) + (B^2*d^2*i*n^2*Log[a + b*x]^2)/(2*b^2*(b*c - a*d)*g^3) - (B*(b*c - a*d)*i*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(2*b^2*g^3*(a + b*x)^2) - (B*d*i*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(b^2*g^3*(a + b*x)) - (B*d^2*i*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(b^2*(b*c - a*d)*g^3) - ((b*c - a*d)*i*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(2*b^2*g^3*(a + b*x)^2) - (d*i*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(b^2*g^3*(a + b*x)) + (B^2*d^2*i*n^2*Log[c + d*x])/(2*b^2*(b*c - a*d)*g^3) - (B^2*d^2*i*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(b^2*(b*c - a*d)*g^3) + (B*d^2*i*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/(b^2*(b*c - a*d)*g^3) + (B^2*d^2*i*n^2*Log[c + d*x]^2)/(2*b^2*(b*c - a*d)*g^3) - (B^2*d^2*i*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^2*(b*c - a*d)*g^3) - (B^2*d^2*i*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^2*(b*c - a*d)*g^3) - (B^2*d^2*i*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(b^2*(b*c - a*d)*g^3)","C",54,11,43,0.2558,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391}"
166,1,800,0,2.4316353,"\int \frac{(c i+d i x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(a g+b g x)^4} \, dx","Int[((c*i + d*i*x)*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(a*g + b*g*x)^4,x]","-\frac{B^2 i n^2 \log ^2(a+b x) d^3}{6 b^2 (b c-a d)^2 g^4}-\frac{B^2 i n^2 \log ^2(c+d x) d^3}{6 b^2 (b c-a d)^2 g^4}+\frac{5 B^2 i n^2 \log (a+b x) d^3}{18 b^2 (b c-a d)^2 g^4}+\frac{B i n \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) d^3}{3 b^2 (b c-a d)^2 g^4}-\frac{5 B^2 i n^2 \log (c+d x) d^3}{18 b^2 (b c-a d)^2 g^4}+\frac{B^2 i n^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) d^3}{3 b^2 (b c-a d)^2 g^4}-\frac{B i n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \log (c+d x) d^3}{3 b^2 (b c-a d)^2 g^4}+\frac{B^2 i n^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) d^3}{3 b^2 (b c-a d)^2 g^4}+\frac{B^2 i n^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) d^3}{3 b^2 (b c-a d)^2 g^4}+\frac{B^2 i n^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) d^3}{3 b^2 (b c-a d)^2 g^4}+\frac{B i n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) d^2}{3 b^2 (b c-a d) g^4 (a+b x)}+\frac{5 B^2 i n^2 d^2}{18 b^2 (b c-a d) g^4 (a+b x)}-\frac{i \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 d}{2 b^2 g^4 (a+b x)^2}-\frac{B i n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) d}{6 b^2 g^4 (a+b x)^2}+\frac{B^2 i n^2 d}{36 b^2 g^4 (a+b x)^2}-\frac{(b c-a d) i \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{3 b^2 g^4 (a+b x)^3}-\frac{2 B (b c-a d) i n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{9 b^2 g^4 (a+b x)^3}-\frac{2 B^2 (b c-a d) i n^2}{27 b^2 g^4 (a+b x)^3}","-\frac{b i (c+d x)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{3 g^4 (a+b x)^3 (b c-a d)^2}-\frac{2 b B i n (c+d x)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{9 g^4 (a+b x)^3 (b c-a d)^2}+\frac{d i (c+d x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{2 g^4 (a+b x)^2 (b c-a d)^2}+\frac{B d i n (c+d x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 g^4 (a+b x)^2 (b c-a d)^2}-\frac{2 b B^2 i n^2 (c+d x)^3}{27 g^4 (a+b x)^3 (b c-a d)^2}+\frac{B^2 d i n^2 (c+d x)^2}{4 g^4 (a+b x)^2 (b c-a d)^2}",1,"(-2*B^2*(b*c - a*d)*i*n^2)/(27*b^2*g^4*(a + b*x)^3) + (B^2*d*i*n^2)/(36*b^2*g^4*(a + b*x)^2) + (5*B^2*d^2*i*n^2)/(18*b^2*(b*c - a*d)*g^4*(a + b*x)) + (5*B^2*d^3*i*n^2*Log[a + b*x])/(18*b^2*(b*c - a*d)^2*g^4) - (B^2*d^3*i*n^2*Log[a + b*x]^2)/(6*b^2*(b*c - a*d)^2*g^4) - (2*B*(b*c - a*d)*i*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(9*b^2*g^4*(a + b*x)^3) - (B*d*i*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(6*b^2*g^4*(a + b*x)^2) + (B*d^2*i*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(3*b^2*(b*c - a*d)*g^4*(a + b*x)) + (B*d^3*i*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(3*b^2*(b*c - a*d)^2*g^4) - ((b*c - a*d)*i*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(3*b^2*g^4*(a + b*x)^3) - (d*i*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(2*b^2*g^4*(a + b*x)^2) - (5*B^2*d^3*i*n^2*Log[c + d*x])/(18*b^2*(b*c - a*d)^2*g^4) + (B^2*d^3*i*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(3*b^2*(b*c - a*d)^2*g^4) - (B*d^3*i*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/(3*b^2*(b*c - a*d)^2*g^4) - (B^2*d^3*i*n^2*Log[c + d*x]^2)/(6*b^2*(b*c - a*d)^2*g^4) + (B^2*d^3*i*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(3*b^2*(b*c - a*d)^2*g^4) + (B^2*d^3*i*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(3*b^2*(b*c - a*d)^2*g^4) + (B^2*d^3*i*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(3*b^2*(b*c - a*d)^2*g^4)","C",62,11,43,0.2558,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391}"
167,1,892,0,2.874526,"\int \frac{(c i+d i x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(a g+b g x)^5} \, dx","Int[((c*i + d*i*x)*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(a*g + b*g*x)^5,x]","\frac{B^2 i n^2 \log ^2(a+b x) d^4}{12 b^2 (b c-a d)^3 g^5}+\frac{B^2 i n^2 \log ^2(c+d x) d^4}{12 b^2 (b c-a d)^3 g^5}-\frac{13 B^2 i n^2 \log (a+b x) d^4}{72 b^2 (b c-a d)^3 g^5}-\frac{B i n \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) d^4}{6 b^2 (b c-a d)^3 g^5}+\frac{13 B^2 i n^2 \log (c+d x) d^4}{72 b^2 (b c-a d)^3 g^5}-\frac{B^2 i n^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) d^4}{6 b^2 (b c-a d)^3 g^5}+\frac{B i n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \log (c+d x) d^4}{6 b^2 (b c-a d)^3 g^5}-\frac{B^2 i n^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) d^4}{6 b^2 (b c-a d)^3 g^5}-\frac{B^2 i n^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) d^4}{6 b^2 (b c-a d)^3 g^5}-\frac{B^2 i n^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) d^4}{6 b^2 (b c-a d)^3 g^5}-\frac{B i n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) d^3}{6 b^2 (b c-a d)^2 g^5 (a+b x)}-\frac{13 B^2 i n^2 d^3}{72 b^2 (b c-a d)^2 g^5 (a+b x)}+\frac{B i n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) d^2}{12 b^2 (b c-a d) g^5 (a+b x)^2}+\frac{B^2 i n^2 d^2}{144 b^2 (b c-a d) g^5 (a+b x)^2}-\frac{i \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 d}{3 b^2 g^5 (a+b x)^3}-\frac{B i n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) d}{18 b^2 g^5 (a+b x)^3}+\frac{5 B^2 i n^2 d}{216 b^2 g^5 (a+b x)^3}-\frac{(b c-a d) i \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{4 b^2 g^5 (a+b x)^4}-\frac{B (b c-a d) i n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{8 b^2 g^5 (a+b x)^4}-\frac{B^2 (b c-a d) i n^2}{32 b^2 g^5 (a+b x)^4}","-\frac{b^2 i (c+d x)^4 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{4 g^5 (a+b x)^4 (b c-a d)^3}-\frac{b^2 B i n (c+d x)^4 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{8 g^5 (a+b x)^4 (b c-a d)^3}-\frac{d^2 i (c+d x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{2 g^5 (a+b x)^2 (b c-a d)^3}-\frac{B d^2 i n (c+d x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 g^5 (a+b x)^2 (b c-a d)^3}+\frac{2 b d i (c+d x)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{3 g^5 (a+b x)^3 (b c-a d)^3}+\frac{4 b B d i n (c+d x)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{9 g^5 (a+b x)^3 (b c-a d)^3}-\frac{b^2 B^2 i n^2 (c+d x)^4}{32 g^5 (a+b x)^4 (b c-a d)^3}-\frac{B^2 d^2 i n^2 (c+d x)^2}{4 g^5 (a+b x)^2 (b c-a d)^3}+\frac{4 b B^2 d i n^2 (c+d x)^3}{27 g^5 (a+b x)^3 (b c-a d)^3}",1,"-(B^2*(b*c - a*d)*i*n^2)/(32*b^2*g^5*(a + b*x)^4) + (5*B^2*d*i*n^2)/(216*b^2*g^5*(a + b*x)^3) + (B^2*d^2*i*n^2)/(144*b^2*(b*c - a*d)*g^5*(a + b*x)^2) - (13*B^2*d^3*i*n^2)/(72*b^2*(b*c - a*d)^2*g^5*(a + b*x)) - (13*B^2*d^4*i*n^2*Log[a + b*x])/(72*b^2*(b*c - a*d)^3*g^5) + (B^2*d^4*i*n^2*Log[a + b*x]^2)/(12*b^2*(b*c - a*d)^3*g^5) - (B*(b*c - a*d)*i*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(8*b^2*g^5*(a + b*x)^4) - (B*d*i*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(18*b^2*g^5*(a + b*x)^3) + (B*d^2*i*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(12*b^2*(b*c - a*d)*g^5*(a + b*x)^2) - (B*d^3*i*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(6*b^2*(b*c - a*d)^2*g^5*(a + b*x)) - (B*d^4*i*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(6*b^2*(b*c - a*d)^3*g^5) - ((b*c - a*d)*i*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(4*b^2*g^5*(a + b*x)^4) - (d*i*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(3*b^2*g^5*(a + b*x)^3) + (13*B^2*d^4*i*n^2*Log[c + d*x])/(72*b^2*(b*c - a*d)^3*g^5) - (B^2*d^4*i*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(6*b^2*(b*c - a*d)^3*g^5) + (B*d^4*i*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/(6*b^2*(b*c - a*d)^3*g^5) + (B^2*d^4*i*n^2*Log[c + d*x]^2)/(12*b^2*(b*c - a*d)^3*g^5) - (B^2*d^4*i*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(6*b^2*(b*c - a*d)^3*g^5) - (B^2*d^4*i*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(6*b^2*(b*c - a*d)^3*g^5) - (B^2*d^4*i*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(6*b^2*(b*c - a*d)^3*g^5)","C",70,11,43,0.2558,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391}"
168,1,848,0,3.348456,"\int (a g+b g x)^3 (c i+d i x)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 \, dx","Int[(a*g + b*g*x)^3*(c*i + d*i*x)^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2,x]","\frac{B^2 g^3 i^2 n^2 \log ^2(c+d x) (b c-a d)^6}{60 b^3 d^4}+\frac{B^2 g^3 i^2 n^2 \log (c+d x) (b c-a d)^6}{90 b^3 d^4}-\frac{B^2 g^3 i^2 n^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) (b c-a d)^6}{30 b^3 d^4}+\frac{B g^3 i^2 n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \log (c+d x) (b c-a d)^6}{30 b^3 d^4}-\frac{B^2 g^3 i^2 n^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) (b c-a d)^6}{30 b^3 d^4}+\frac{B^2 g^3 i^2 n^2 x (b c-a d)^5}{45 b^2 d^3}-\frac{A B g^3 i^2 n x (b c-a d)^5}{30 b^2 d^3}-\frac{B^2 g^3 i^2 n (a+b x) \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right) (b c-a d)^5}{30 b^3 d^3}-\frac{7 B^2 g^3 i^2 n^2 (a+b x)^2 (b c-a d)^4}{360 b^3 d^2}+\frac{B g^3 i^2 n (a+b x)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) (b c-a d)^4}{60 b^3 d^2}+\frac{B^2 g^3 i^2 n^2 (a+b x)^3 (b c-a d)^3}{60 b^3 d}-\frac{B g^3 i^2 n (a+b x)^3 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) (b c-a d)^3}{90 b^3 d}+\frac{B^2 g^3 i^2 n^2 (a+b x)^4 (b c-a d)^2}{60 b^3}+\frac{g^3 i^2 (a+b x)^4 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 (b c-a d)^2}{4 b^3}-\frac{7 B g^3 i^2 n (a+b x)^4 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) (b c-a d)^2}{60 b^3}+\frac{2 d g^3 i^2 (a+b x)^5 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 (b c-a d)}{5 b^3}-\frac{B d g^3 i^2 n (a+b x)^5 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) (b c-a d)}{15 b^3}+\frac{d^2 g^3 i^2 (a+b x)^6 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{6 b^3}","-\frac{B^2 g^3 i^2 n^2 (b c-a d)^6 \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{30 b^3 d^4}-\frac{B g^3 i^2 n (b c-a d)^6 \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(6 B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+6 A+11 B n\right)}{180 b^3 d^4}-\frac{B g^3 i^2 n (a+b x) (b c-a d)^5 \left(6 B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+6 A+5 B n\right)}{180 b^3 d^3}+\frac{B g^3 i^2 n (a+b x)^2 (b c-a d)^4 \left(3 B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+3 A+B n\right)}{180 b^3 d^2}-\frac{B g^3 i^2 n (a+b x)^3 (b c-a d)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{90 b^3 d}+\frac{g^3 i^2 (a+b x)^4 (b c-a d)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{60 b^3}-\frac{B g^3 i^2 n (a+b x)^4 (b c-a d)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{20 b^3}+\frac{g^3 i^2 (a+b x)^4 (c+d x) (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{15 b^2}-\frac{B g^3 i^2 n (a+b x)^4 (c+d x) (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{15 b^2}+\frac{g^3 i^2 (a+b x)^4 (c+d x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{6 b}+\frac{3 B^2 g^3 i^2 n^2 x (b c-a d)^5}{20 b^2 d^3}-\frac{B^2 g^3 i^2 n^2 (b c-a d)^6 \log (c+d x)}{20 b^3 d^4}+\frac{B^2 g^3 i^2 n^2 (a+b x)^4 (b c-a d)^2}{60 b^3}-\frac{3 B^2 g^3 i^2 n^2 (c+d x)^2 (b c-a d)^4}{40 b d^4}+\frac{B^2 g^3 i^2 n^2 (c+d x)^3 (b c-a d)^3}{60 d^4}",1,"-(A*B*(b*c - a*d)^5*g^3*i^2*n*x)/(30*b^2*d^3) + (B^2*(b*c - a*d)^5*g^3*i^2*n^2*x)/(45*b^2*d^3) - (7*B^2*(b*c - a*d)^4*g^3*i^2*n^2*(a + b*x)^2)/(360*b^3*d^2) + (B^2*(b*c - a*d)^3*g^3*i^2*n^2*(a + b*x)^3)/(60*b^3*d) + (B^2*(b*c - a*d)^2*g^3*i^2*n^2*(a + b*x)^4)/(60*b^3) - (B^2*(b*c - a*d)^5*g^3*i^2*n*(a + b*x)*Log[e*((a + b*x)/(c + d*x))^n])/(30*b^3*d^3) + (B*(b*c - a*d)^4*g^3*i^2*n*(a + b*x)^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(60*b^3*d^2) - (B*(b*c - a*d)^3*g^3*i^2*n*(a + b*x)^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(90*b^3*d) - (7*B*(b*c - a*d)^2*g^3*i^2*n*(a + b*x)^4*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(60*b^3) - (B*d*(b*c - a*d)*g^3*i^2*n*(a + b*x)^5*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(15*b^3) + ((b*c - a*d)^2*g^3*i^2*(a + b*x)^4*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(4*b^3) + (2*d*(b*c - a*d)*g^3*i^2*(a + b*x)^5*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(5*b^3) + (d^2*g^3*i^2*(a + b*x)^6*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(6*b^3) + (B^2*(b*c - a*d)^6*g^3*i^2*n^2*Log[c + d*x])/(90*b^3*d^4) - (B^2*(b*c - a*d)^6*g^3*i^2*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(30*b^3*d^4) + (B*(b*c - a*d)^6*g^3*i^2*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/(30*b^3*d^4) + (B^2*(b*c - a*d)^6*g^3*i^2*n^2*Log[c + d*x]^2)/(60*b^3*d^4) - (B^2*(b*c - a*d)^6*g^3*i^2*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(30*b^3*d^4)","A",83,13,45,0.2889,1,"{2528, 2525, 12, 2486, 31, 43, 2524, 2418, 2394, 2393, 2391, 2390, 2301}"
169,1,714,0,2.6090603,"\int (a g+b g x)^2 (c i+d i x)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 \, dx","Int[(a*g + b*g*x)^2*(c*i + d*i*x)^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2,x]","\frac{B^2 g^2 i^2 n^2 (b c-a d)^5 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{15 b^3 d^3}-\frac{B g^2 i^2 n (b c-a d)^5 \log (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{15 b^3 d^3}+\frac{d^2 g^2 i^2 (a+b x)^5 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{5 b^3}+\frac{A B g^2 i^2 n x (b c-a d)^4}{15 b^2 d^2}-\frac{B g^2 i^2 n (a+b x)^2 (b c-a d)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{30 b^3 d}+\frac{g^2 i^2 (a+b x)^3 (b c-a d)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{3 b^3}-\frac{B g^2 i^2 n (a+b x)^3 (b c-a d)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{5 b^3}+\frac{d g^2 i^2 (a+b x)^4 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{2 b^3}-\frac{B d g^2 i^2 n (a+b x)^4 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{10 b^3}+\frac{B^2 g^2 i^2 n (a+b x) (b c-a d)^4 \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{15 b^3 d^2}-\frac{B^2 g^2 i^2 n^2 x (b c-a d)^4}{15 b^2 d^2}-\frac{B^2 g^2 i^2 n^2 (b c-a d)^5 \log ^2(c+d x)}{30 b^3 d^3}+\frac{B^2 g^2 i^2 n^2 (b c-a d)^5 \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{15 b^3 d^3}+\frac{B^2 g^2 i^2 n^2 (a+b x)^2 (b c-a d)^3}{20 b^3 d}+\frac{B^2 g^2 i^2 n^2 (a+b x)^3 (b c-a d)^2}{30 b^3}","\frac{B g^2 i^2 n \left(2 A+3 B n+2 B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \log \left(\frac{b c-a d}{b (c+d x)}\right) (b c-a d)^5}{30 b^3 d^3}+\frac{B^2 g^2 i^2 n^2 \log \left(\frac{a+b x}{c+d x}\right) (b c-a d)^5}{30 b^3 d^3}+\frac{B^2 g^2 i^2 n^2 \log (c+d x) (b c-a d)^5}{10 b^3 d^3}+\frac{B^2 g^2 i^2 n^2 \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right) (b c-a d)^5}{15 b^3 d^3}-\frac{B^2 g^2 i^2 n^2 x (b c-a d)^4}{10 b^2 d^2}+\frac{B g^2 i^2 n (a+b x) \left(2 A+B n+2 B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) (b c-a d)^4}{30 b^3 d^2}-\frac{B^2 g^2 i^2 n^2 (c+d x)^2 (b c-a d)^3}{20 b d^3}-\frac{B g^2 i^2 n (a+b x)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) (b c-a d)^3}{30 b^3 d}-\frac{B g^2 i^2 n (c+d x)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) (b c-a d)^3}{5 b d^3}+\frac{B^2 g^2 i^2 n^2 (c+d x)^3 (b c-a d)^2}{30 d^3}+\frac{g^2 i^2 (a+b x)^3 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 (b c-a d)^2}{30 b^3}-\frac{B g^2 i^2 n (a+b x)^3 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) (b c-a d)^2}{15 b^3}+\frac{4 B g^2 i^2 n (c+d x)^3 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) (b c-a d)^2}{15 d^3}+\frac{g^2 i^2 (a+b x)^3 (c+d x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 (b c-a d)}{10 b^2}-\frac{b B g^2 i^2 n (c+d x)^4 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) (b c-a d)}{10 d^3}+\frac{g^2 i^2 (a+b x)^3 (c+d x)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{5 b}",1,"(A*B*(b*c - a*d)^4*g^2*i^2*n*x)/(15*b^2*d^2) - (B^2*(b*c - a*d)^4*g^2*i^2*n^2*x)/(15*b^2*d^2) + (B^2*(b*c - a*d)^3*g^2*i^2*n^2*(a + b*x)^2)/(20*b^3*d) + (B^2*(b*c - a*d)^2*g^2*i^2*n^2*(a + b*x)^3)/(30*b^3) + (B^2*(b*c - a*d)^4*g^2*i^2*n*(a + b*x)*Log[e*((a + b*x)/(c + d*x))^n])/(15*b^3*d^2) - (B*(b*c - a*d)^3*g^2*i^2*n*(a + b*x)^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(30*b^3*d) - (B*(b*c - a*d)^2*g^2*i^2*n*(a + b*x)^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(5*b^3) - (B*d*(b*c - a*d)*g^2*i^2*n*(a + b*x)^4*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(10*b^3) + ((b*c - a*d)^2*g^2*i^2*(a + b*x)^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(3*b^3) + (d*(b*c - a*d)*g^2*i^2*(a + b*x)^4*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(2*b^3) + (d^2*g^2*i^2*(a + b*x)^5*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(5*b^3) + (B^2*(b*c - a*d)^5*g^2*i^2*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(15*b^3*d^3) - (B*(b*c - a*d)^5*g^2*i^2*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/(15*b^3*d^3) - (B^2*(b*c - a*d)^5*g^2*i^2*n^2*Log[c + d*x]^2)/(30*b^3*d^3) + (B^2*(b*c - a*d)^5*g^2*i^2*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(15*b^3*d^3)","A",71,13,45,0.2889,1,"{2528, 2525, 12, 2486, 31, 43, 2524, 2418, 2394, 2393, 2391, 2390, 2301}"
170,1,614,0,1.6568142,"\int (a g+b g x) (c i+d i x)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 \, dx","Int[(a*g + b*g*x)*(c*i + d*i*x)^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2,x]","\frac{B^2 g i^2 n^2 (b c-a d)^4 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{6 b^3 d^2}+\frac{B g i^2 n (b c-a d)^4 \log (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{6 b^3 d^2}+\frac{A B g i^2 n x (b c-a d)^3}{6 b^2 d}+\frac{B g i^2 n (c+d x)^2 (b c-a d)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{12 b d^2}-\frac{g i^2 (c+d x)^3 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{3 d^2}-\frac{B g i^2 n (c+d x)^3 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{6 d^2}+\frac{b g i^2 (c+d x)^4 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{4 d^2}-\frac{B^2 g i^2 n^2 (b c-a d)^4 \log ^2(a+b x)}{12 b^3 d^2}+\frac{B^2 g i^2 n^2 (b c-a d)^4 \log (a+b x)}{12 b^3 d^2}-\frac{B^2 g i^2 n^2 (b c-a d)^4 \log (c+d x)}{6 b^3 d^2}+\frac{B^2 g i^2 n^2 (b c-a d)^4 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{6 b^3 d^2}+\frac{B^2 g i^2 n (a+b x) (b c-a d)^3 \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{6 b^3 d}+\frac{B^2 g i^2 n^2 x (b c-a d)^3}{12 b^2 d}+\frac{B^2 g i^2 n^2 (c+d x)^2 (b c-a d)^2}{12 b d^2}","-\frac{B^2 g i^2 n^2 (b c-a d)^4 \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{6 b^3 d^2}-\frac{B g i^2 n (b c-a d)^4 \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A+B n\right)}{6 b^3 d^2}-\frac{B g i^2 n (a+b x) (b c-a d)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{6 b^3 d}+\frac{g i^2 (a+b x)^2 (b c-a d)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{12 b^3}-\frac{B g i^2 n (a+b x)^2 (b c-a d)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{6 b^3}+\frac{g i^2 (a+b x)^2 (c+d x) (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{6 b^2}+\frac{B g i^2 n (c+d x)^2 (b c-a d)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{4 b d^2}-\frac{B g i^2 n (c+d x)^3 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{6 d^2}+\frac{g i^2 (a+b x)^2 (c+d x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{4 b}-\frac{B^2 g i^2 n^2 (b c-a d)^4 \log \left(\frac{a+b x}{c+d x}\right)}{12 b^3 d^2}-\frac{B^2 g i^2 n^2 (b c-a d)^4 \log (c+d x)}{4 b^3 d^2}+\frac{B^2 g i^2 n^2 x (b c-a d)^3}{12 b^2 d}+\frac{B^2 g i^2 n^2 (c+d x)^2 (b c-a d)^2}{12 b d^2}",1,"(A*B*(b*c - a*d)^3*g*i^2*n*x)/(6*b^2*d) + (B^2*(b*c - a*d)^3*g*i^2*n^2*x)/(12*b^2*d) + (B^2*(b*c - a*d)^2*g*i^2*n^2*(c + d*x)^2)/(12*b*d^2) + (B^2*(b*c - a*d)^4*g*i^2*n^2*Log[a + b*x])/(12*b^3*d^2) - (B^2*(b*c - a*d)^4*g*i^2*n^2*Log[a + b*x]^2)/(12*b^3*d^2) + (B^2*(b*c - a*d)^3*g*i^2*n*(a + b*x)*Log[e*((a + b*x)/(c + d*x))^n])/(6*b^3*d) + (B*(b*c - a*d)^2*g*i^2*n*(c + d*x)^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(12*b*d^2) - (B*(b*c - a*d)*g*i^2*n*(c + d*x)^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(6*d^2) + (B*(b*c - a*d)^4*g*i^2*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(6*b^3*d^2) - ((b*c - a*d)*g*i^2*(c + d*x)^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(3*d^2) + (b*g*i^2*(c + d*x)^4*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(4*d^2) - (B^2*(b*c - a*d)^4*g*i^2*n^2*Log[c + d*x])/(6*b^3*d^2) + (B^2*(b*c - a*d)^4*g*i^2*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(6*b^3*d^2) + (B^2*(b*c - a*d)^4*g*i^2*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(6*b^3*d^2)","A",44,13,43,0.3023,1,"{2528, 2525, 12, 2486, 31, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 43}"
171,1,454,0,0.5432372,"\int (c i+d i x)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 \, dx","Int[(c*i + d*i*x)^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2,x]","-\frac{2 B^2 i^2 n^2 (b c-a d)^3 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{3 b^3 d}-\frac{2 B i^2 n (b c-a d)^3 \log (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{3 b^3 d}-\frac{2 A B i^2 n x (b c-a d)^2}{3 b^2}-\frac{B i^2 n (c+d x)^2 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{3 b d}+\frac{i^2 (c+d x)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{3 d}-\frac{2 B^2 i^2 n (a+b x) (b c-a d)^2 \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{3 b^3}+\frac{B^2 i^2 n^2 x (b c-a d)^2}{3 b^2}+\frac{B^2 i^2 n^2 (b c-a d)^3 \log ^2(a+b x)}{3 b^3 d}+\frac{B^2 i^2 n^2 (b c-a d)^3 \log (a+b x)}{3 b^3 d}+\frac{2 B^2 i^2 n^2 (b c-a d)^3 \log (c+d x)}{3 b^3 d}-\frac{2 B^2 i^2 n^2 (b c-a d)^3 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{3 b^3 d}","-\frac{2 B^2 i^2 n^2 (b c-a d)^3 \text{PolyLog}\left(2,\frac{b (c+d x)}{d (a+b x)}\right)}{3 b^3 d}+\frac{2 B i^2 n (b c-a d)^3 \log \left(1-\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{3 b^3 d}-\frac{2 B i^2 n (a+b x) (b c-a d)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{3 b^3}-\frac{B i^2 n (c+d x)^2 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{3 b d}+\frac{i^2 (c+d x)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{3 d}+\frac{B^2 i^2 n^2 x (b c-a d)^2}{3 b^2}+\frac{B^2 i^2 n^2 (b c-a d)^3 \log \left(\frac{a+b x}{c+d x}\right)}{3 b^3 d}+\frac{B^2 i^2 n^2 (b c-a d)^3 \log (c+d x)}{b^3 d}",1,"(-2*A*B*(b*c - a*d)^2*i^2*n*x)/(3*b^2) + (B^2*(b*c - a*d)^2*i^2*n^2*x)/(3*b^2) + (B^2*(b*c - a*d)^3*i^2*n^2*Log[a + b*x])/(3*b^3*d) + (B^2*(b*c - a*d)^3*i^2*n^2*Log[a + b*x]^2)/(3*b^3*d) - (2*B^2*(b*c - a*d)^2*i^2*n*(a + b*x)*Log[e*((a + b*x)/(c + d*x))^n])/(3*b^3) - (B*(b*c - a*d)*i^2*n*(c + d*x)^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(3*b*d) - (2*B*(b*c - a*d)^3*i^2*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(3*b^3*d) + (i^2*(c + d*x)^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(3*d) + (2*B^2*(b*c - a*d)^3*i^2*n^2*Log[c + d*x])/(3*b^3*d) - (2*B^2*(b*c - a*d)^3*i^2*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(3*b^3*d) - (2*B^2*(b*c - a*d)^3*i^2*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(3*b^3*d)","A",19,13,35,0.3714,1,"{2525, 12, 2528, 2486, 31, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 43}"
172,1,1790,0,5.0814852,"\int \frac{(c i+d i x)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{a g+b g x} \, dx","Int[((c*i + d*i*x)^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(a*g + b*g*x),x]","\frac{B^2 (b c-a d)^2 i^2 n^2 \log ^3(g (a+b x))}{3 b^3 g}-\frac{A B (b c-a d)^2 i^2 n \log ^2(g (a+b x))}{b^3 g}-\frac{B^2 (b c-a d)^2 i^2 n^2 \log (-c-d x) \log ^2(g (a+b x))}{b^3 g}+\frac{B^2 (b c-a d)^2 i^2 n^2 \log \left(\frac{b (c+d x)}{b c-a d}\right) \log ^2(g (a+b x))}{b^3 g}-\frac{B^2 (b c-a d)^2 i^2 \log ^2\left((c+d x)^{-n}\right) \log (g (a+b x))}{b^3 g}+\frac{2 B^2 (b c-a d)^2 i^2 n \log \left((a+b x)^n\right) \log (-c-d x) \log (g (a+b x))}{b^3 g}+\frac{B^2 (b c-a d)^2 i^2 n^2 \log ^2(a+b x)}{2 b^3 g}-\frac{a B^2 d (b c-a d) i^2 n^2 \log ^2(a+b x)}{b^3 g}+\frac{i^2 (c+d x)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{2 b g}+\frac{d (b c-a d) i^2 x \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{b^2 g}-\frac{B^2 c (b c-a d) i^2 n^2 \log ^2(c+d x)}{b^2 g}+\frac{B^2 (b c-a d)^2 i^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2\left((c+d x)^{-n}\right)}{b^3 g}-\frac{B^2 (b c-a d)^2 i^2 n \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right) \log ^2(a g+b x g)}{b^3 g}-\frac{B^2 (b c-a d)^2 i^2 n^2 \log \left(\frac{b (c+d x)}{b c-a d}\right) \log ^2(a g+b x g)}{b^3 g}-\frac{A B d (b c-a d) i^2 n x}{b^2 g}-\frac{B^2 (b c-a d)^2 i^2 \log ^2\left((a+b x)^n\right) \log (-c-d x)}{b^3 g}-\frac{B^2 d (b c-a d) i^2 n (a+b x) \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{b^3 g}-\frac{B (b c-a d)^2 i^2 n \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{b^3 g}+\frac{2 a B d (b c-a d) i^2 n \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{b^3 g}+\frac{B^2 (b c-a d)^2 i^2 n^2 \log (c+d x)}{b^3 g}+\frac{2 B^2 c (b c-a d) i^2 n^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{b^2 g}-\frac{2 B c (b c-a d) i^2 n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \log (c+d x)}{b^2 g}+\frac{B^2 (b c-a d)^2 i^2 \log ^2\left((a+b x)^n\right) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{b^3 g}-\frac{B^2 (b c-a d)^2 i^2 n^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{b^3 g}+\frac{2 a B^2 d (b c-a d) i^2 n^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{b^3 g}+\frac{(b c-a d)^2 i^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 \log (a g+b x g)}{b^3 g}+\frac{2 A B (b c-a d)^2 i^2 n \log \left(\frac{b (c+d x)}{b c-a d}\right) \log (a g+b x g)}{b^3 g}-\frac{2 B^2 (b c-a d)^2 i^2 n \log \left(\frac{b (c+d x)}{b c-a d}\right) \left(\log \left((a+b x)^n\right)-\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+\log \left((c+d x)^{-n}\right)\right) \log (a g+b x g)}{b^3 g}-\frac{B^2 (b c-a d)^2 i^2 n^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{b^3 g}+\frac{2 a B^2 d (b c-a d) i^2 n^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{b^3 g}+\frac{2 A B (b c-a d)^2 i^2 n \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{b^3 g}+\frac{2 B^2 (b c-a d)^2 i^2 n \log \left((a+b x)^n\right) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{b^3 g}-\frac{2 B^2 (b c-a d)^2 i^2 n \left(\log \left((a+b x)^n\right)-\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+\log \left((c+d x)^{-n}\right)\right) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{b^3 g}+\frac{2 B^2 c (b c-a d) i^2 n^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{b^2 g}-\frac{2 B^2 (b c-a d)^2 i^2 n \log \left((c+d x)^{-n}\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{b^3 g}-\frac{2 B^2 (b c-a d)^2 i^2 n^2 \text{PolyLog}\left(3,-\frac{d (a+b x)}{b c-a d}\right)}{b^3 g}-\frac{2 B^2 (b c-a d)^2 i^2 n^2 \text{PolyLog}\left(3,\frac{b (c+d x)}{b c-a d}\right)}{b^3 g}","\frac{2 B i^2 n (b c-a d)^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^3 g}+\frac{2 B^2 i^2 n^2 (b c-a d)^2 \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{b^3 g}-\frac{B^2 i^2 n^2 (b c-a d)^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{d (a+b x)}\right)}{b^3 g}+\frac{2 B^2 i^2 n^2 (b c-a d)^2 \text{PolyLog}\left(3,\frac{b (c+d x)}{d (a+b x)}\right)}{b^3 g}+\frac{d i^2 (a+b x) (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{b^3 g}-\frac{B d i^2 n (a+b x) (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^3 g}+\frac{2 B i^2 n (b c-a d)^2 \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^3 g}-\frac{i^2 (b c-a d)^2 \log \left(1-\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{b^3 g}+\frac{B i^2 n (b c-a d)^2 \log \left(1-\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^3 g}+\frac{i^2 (c+d x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{2 b g}+\frac{B^2 i^2 n^2 (b c-a d)^2 \log (c+d x)}{b^3 g}",1,"-((A*B*d*(b*c - a*d)*i^2*n*x)/(b^2*g)) - (a*B^2*d*(b*c - a*d)*i^2*n^2*Log[a + b*x]^2)/(b^3*g) + (B^2*(b*c - a*d)^2*i^2*n^2*Log[a + b*x]^2)/(2*b^3*g) - (A*B*(b*c - a*d)^2*i^2*n*Log[g*(a + b*x)]^2)/(b^3*g) + (B^2*(b*c - a*d)^2*i^2*n^2*Log[g*(a + b*x)]^3)/(3*b^3*g) - (B^2*(b*c - a*d)^2*i^2*n^2*Log[g*(a + b*x)]^2*Log[-c - d*x])/(b^3*g) + (2*B^2*(b*c - a*d)^2*i^2*n*Log[g*(a + b*x)]*Log[(a + b*x)^n]*Log[-c - d*x])/(b^3*g) - (B^2*(b*c - a*d)^2*i^2*Log[(a + b*x)^n]^2*Log[-c - d*x])/(b^3*g) - (B^2*d*(b*c - a*d)*i^2*n*(a + b*x)*Log[e*((a + b*x)/(c + d*x))^n])/(b^3*g) + (2*a*B*d*(b*c - a*d)*i^2*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(b^3*g) - (B*(b*c - a*d)^2*i^2*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(b^3*g) + (d*(b*c - a*d)*i^2*x*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(b^2*g) + (i^2*(c + d*x)^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(2*b*g) + (B^2*(b*c - a*d)^2*i^2*n^2*Log[c + d*x])/(b^3*g) + (2*B^2*c*(b*c - a*d)*i^2*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(b^2*g) - (2*B*c*(b*c - a*d)*i^2*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/(b^2*g) - (B^2*c*(b*c - a*d)*i^2*n^2*Log[c + d*x]^2)/(b^2*g) + (2*a*B^2*d*(b*c - a*d)*i^2*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^3*g) - (B^2*(b*c - a*d)^2*i^2*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^3*g) + (B^2*(b*c - a*d)^2*i^2*n^2*Log[g*(a + b*x)]^2*Log[(b*(c + d*x))/(b*c - a*d)])/(b^3*g) + (B^2*(b*c - a*d)^2*i^2*Log[(a + b*x)^n]^2*Log[(b*(c + d*x))/(b*c - a*d)])/(b^3*g) + (B^2*(b*c - a*d)^2*i^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[(c + d*x)^(-n)]^2)/(b^3*g) - (B^2*(b*c - a*d)^2*i^2*Log[g*(a + b*x)]*Log[(c + d*x)^(-n)]^2)/(b^3*g) + ((b*c - a*d)^2*i^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2*Log[a*g + b*g*x])/(b^3*g) + (2*A*B*(b*c - a*d)^2*i^2*n*Log[(b*(c + d*x))/(b*c - a*d)]*Log[a*g + b*g*x])/(b^3*g) - (2*B^2*(b*c - a*d)^2*i^2*n*Log[(b*(c + d*x))/(b*c - a*d)]*(Log[(a + b*x)^n] - Log[e*((a + b*x)/(c + d*x))^n] + Log[(c + d*x)^(-n)])*Log[a*g + b*g*x])/(b^3*g) - (B^2*(b*c - a*d)^2*i^2*n*Log[e*((a + b*x)/(c + d*x))^n]*Log[a*g + b*g*x]^2)/(b^3*g) - (B^2*(b*c - a*d)^2*i^2*n^2*Log[(b*(c + d*x))/(b*c - a*d)]*Log[a*g + b*g*x]^2)/(b^3*g) + (2*A*B*(b*c - a*d)^2*i^2*n*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^3*g) + (2*a*B^2*d*(b*c - a*d)*i^2*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^3*g) - (B^2*(b*c - a*d)^2*i^2*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^3*g) + (2*B^2*(b*c - a*d)^2*i^2*n*Log[(a + b*x)^n]*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^3*g) - (2*B^2*(b*c - a*d)^2*i^2*n*(Log[(a + b*x)^n] - Log[e*((a + b*x)/(c + d*x))^n] + Log[(c + d*x)^(-n)])*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^3*g) + (2*B^2*c*(b*c - a*d)*i^2*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(b^2*g) - (2*B^2*(b*c - a*d)^2*i^2*n*Log[(c + d*x)^(-n)]*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(b^3*g) - (2*B^2*(b*c - a*d)^2*i^2*n^2*PolyLog[3, -((d*(a + b*x))/(b*c - a*d))])/(b^3*g) - (2*B^2*(b*c - a*d)^2*i^2*n^2*PolyLog[3, (b*(c + d*x))/(b*c - a*d)])/(b^3*g)","B",82,27,45,0.6000,1,"{2528, 2523, 12, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 6688, 6742, 2500, 2440, 2434, 2433, 2375, 2317, 2374, 6589, 2499, 2302, 30, 2396, 2525, 2486, 31}"
173,1,1309,0,3.7645796,"\int \frac{(c i+d i x)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(a g+b g x)^2} \, dx","Int[((c*i + d*i*x)^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(a*g + b*g*x)^2,x]","-\frac{a B^2 d^2 n^2 \log ^2(a+b x) i^2}{b^3 g^2}+\frac{B^2 d (b c-a d) n^2 \log ^2(a+b x) i^2}{b^3 g^2}-\frac{2 A B d (b c-a d) n \log ^2(a+b x) i^2}{b^3 g^2}-\frac{2 B^2 d (b c-a d) \log \left(-\frac{b c-a d}{d (a+b x)}\right) \log ^2\left(e \left(\frac{a+b x}{c+d x}\right)^n\right) i^2}{b^3 g^2}-\frac{2 B^2 d (b c-a d) \log (a+b x) \log ^2\left(e \left(\frac{a+b x}{c+d x}\right)^n\right) i^2}{b^3 g^2}+\frac{d^2 x \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 i^2}{b^2 g^2}+\frac{2 d (b c-a d) \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 i^2}{b^3 g^2}-\frac{(b c-a d)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 i^2}{b^3 g^2 (a+b x)}-\frac{B^2 c d n^2 \log ^2(c+d x) i^2}{b^2 g^2}+\frac{B^2 d (b c-a d) n^2 \log ^2(c+d x) i^2}{b^3 g^2}-\frac{2 B^2 d (b c-a d) n^2 \log (a+b x) i^2}{b^3 g^2}+\frac{2 a B d^2 n \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) i^2}{b^3 g^2}-\frac{2 B d (b c-a d) n \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) i^2}{b^3 g^2}-\frac{2 B (b c-a d)^2 n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) i^2}{b^3 g^2 (a+b x)}+\frac{2 B^2 d (b c-a d) n^2 \log (c+d x) i^2}{b^3 g^2}+\frac{2 B^2 c d n^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) i^2}{b^2 g^2}-\frac{2 B^2 d (b c-a d) n^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) i^2}{b^3 g^2}-\frac{2 B c d n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \log (c+d x) i^2}{b^2 g^2}+\frac{2 B d (b c-a d) n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \log (c+d x) i^2}{b^3 g^2}+\frac{2 a B^2 d^2 n^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) i^2}{b^3 g^2}-\frac{2 B^2 d (b c-a d) n^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) i^2}{b^3 g^2}+\frac{4 A B d (b c-a d) n \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) i^2}{b^3 g^2}+\frac{2 a B^2 d^2 n^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) i^2}{b^3 g^2}-\frac{2 B^2 d (b c-a d) n^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) i^2}{b^3 g^2}+\frac{4 A B d (b c-a d) n \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) i^2}{b^3 g^2}+\frac{2 B^2 c d n^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) i^2}{b^2 g^2}-\frac{2 B^2 d (b c-a d) n^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) i^2}{b^3 g^2}+\frac{4 B^2 d (b c-a d) n \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right) \text{PolyLog}\left(2,\frac{b c-a d}{d (a+b x)}+1\right) i^2}{b^3 g^2}+\frac{4 B^2 d (b c-a d) n^2 \text{PolyLog}\left(3,\frac{b c-a d}{d (a+b x)}+1\right) i^2}{b^3 g^2}-\frac{2 B^2 (b c-a d)^2 n^2 i^2}{b^3 g^2 (a+b x)}","\frac{4 B d i^2 n (b c-a d) \text{PolyLog}\left(2,\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^3 g^2}+\frac{2 B^2 d i^2 n^2 (b c-a d) \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{b^3 g^2}+\frac{4 B^2 d i^2 n^2 (b c-a d) \text{PolyLog}\left(3,\frac{b (c+d x)}{d (a+b x)}\right)}{b^3 g^2}+\frac{d^2 i^2 (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{b^3 g^2}-\frac{i^2 (c+d x) (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{b^2 g^2 (a+b x)}-\frac{2 B i^2 n (c+d x) (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^2 g^2 (a+b x)}+\frac{2 B d i^2 n (b c-a d) \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^3 g^2}-\frac{2 d i^2 (b c-a d) \log \left(1-\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{b^3 g^2}-\frac{2 B^2 i^2 n^2 (c+d x) (b c-a d)}{b^2 g^2 (a+b x)}",1,"(-2*B^2*(b*c - a*d)^2*i^2*n^2)/(b^3*g^2*(a + b*x)) - (2*B^2*d*(b*c - a*d)*i^2*n^2*Log[a + b*x])/(b^3*g^2) - (2*A*B*d*(b*c - a*d)*i^2*n*Log[a + b*x]^2)/(b^3*g^2) - (a*B^2*d^2*i^2*n^2*Log[a + b*x]^2)/(b^3*g^2) + (B^2*d*(b*c - a*d)*i^2*n^2*Log[a + b*x]^2)/(b^3*g^2) - (2*B^2*d*(b*c - a*d)*i^2*Log[-((b*c - a*d)/(d*(a + b*x)))]*Log[e*((a + b*x)/(c + d*x))^n]^2)/(b^3*g^2) - (2*B^2*d*(b*c - a*d)*i^2*Log[a + b*x]*Log[e*((a + b*x)/(c + d*x))^n]^2)/(b^3*g^2) - (2*B*(b*c - a*d)^2*i^2*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(b^3*g^2*(a + b*x)) + (2*a*B*d^2*i^2*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(b^3*g^2) - (2*B*d*(b*c - a*d)*i^2*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(b^3*g^2) + (d^2*i^2*x*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(b^2*g^2) - ((b*c - a*d)^2*i^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(b^3*g^2*(a + b*x)) + (2*d*(b*c - a*d)*i^2*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(b^3*g^2) + (2*B^2*d*(b*c - a*d)*i^2*n^2*Log[c + d*x])/(b^3*g^2) + (2*B^2*c*d*i^2*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(b^2*g^2) - (2*B^2*d*(b*c - a*d)*i^2*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(b^3*g^2) - (2*B*c*d*i^2*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/(b^2*g^2) + (2*B*d*(b*c - a*d)*i^2*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/(b^3*g^2) - (B^2*c*d*i^2*n^2*Log[c + d*x]^2)/(b^2*g^2) + (B^2*d*(b*c - a*d)*i^2*n^2*Log[c + d*x]^2)/(b^3*g^2) + (4*A*B*d*(b*c - a*d)*i^2*n*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^3*g^2) + (2*a*B^2*d^2*i^2*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^3*g^2) - (2*B^2*d*(b*c - a*d)*i^2*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^3*g^2) + (4*A*B*d*(b*c - a*d)*i^2*n*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^3*g^2) + (2*a*B^2*d^2*i^2*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^3*g^2) - (2*B^2*d*(b*c - a*d)*i^2*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^3*g^2) + (2*B^2*c*d*i^2*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(b^2*g^2) - (2*B^2*d*(b*c - a*d)*i^2*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(b^3*g^2) + (4*B^2*d*(b*c - a*d)*i^2*n*Log[e*((a + b*x)/(c + d*x))^n]*PolyLog[2, 1 + (b*c - a*d)/(d*(a + b*x))])/(b^3*g^2) + (4*B^2*d*(b*c - a*d)*i^2*n^2*PolyLog[3, 1 + (b*c - a*d)/(d*(a + b*x))])/(b^3*g^2)","B",60,21,45,0.4667,1,"{2528, 2523, 12, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 2525, 44, 6688, 6742, 2411, 2344, 2317, 2507, 2488, 2506, 6610}"
174,1,1003,0,3.8412167,"\int \frac{(c i+d i x)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(a g+b g x)^3} \, dx","Int[((c*i + d*i*x)^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(a*g + b*g*x)^3,x]","\frac{3 B^2 d^2 n^2 \log ^2(a+b x) i^2}{2 b^3 g^3}-\frac{A B d^2 n \log ^2(a+b x) i^2}{b^3 g^3}-\frac{B^2 d^2 \log \left(-\frac{b c-a d}{d (a+b x)}\right) \log ^2\left(e \left(\frac{a+b x}{c+d x}\right)^n\right) i^2}{b^3 g^3}-\frac{B^2 d^2 \log (a+b x) \log ^2\left(e \left(\frac{a+b x}{c+d x}\right)^n\right) i^2}{b^3 g^3}+\frac{d^2 \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 i^2}{b^3 g^3}-\frac{2 d (b c-a d) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 i^2}{b^3 g^3 (a+b x)}-\frac{(b c-a d)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 i^2}{2 b^3 g^3 (a+b x)^2}+\frac{3 B^2 d^2 n^2 \log ^2(c+d x) i^2}{2 b^3 g^3}-\frac{5 B^2 d^2 n^2 \log (a+b x) i^2}{2 b^3 g^3}-\frac{3 B d^2 n \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) i^2}{b^3 g^3}-\frac{3 B d (b c-a d) n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) i^2}{b^3 g^3 (a+b x)}-\frac{B (b c-a d)^2 n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) i^2}{2 b^3 g^3 (a+b x)^2}+\frac{5 B^2 d^2 n^2 \log (c+d x) i^2}{2 b^3 g^3}-\frac{3 B^2 d^2 n^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) i^2}{b^3 g^3}+\frac{3 B d^2 n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \log (c+d x) i^2}{b^3 g^3}-\frac{3 B^2 d^2 n^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) i^2}{b^3 g^3}+\frac{2 A B d^2 n \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) i^2}{b^3 g^3}-\frac{3 B^2 d^2 n^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) i^2}{b^3 g^3}+\frac{2 A B d^2 n \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) i^2}{b^3 g^3}-\frac{3 B^2 d^2 n^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) i^2}{b^3 g^3}+\frac{2 B^2 d^2 n \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right) \text{PolyLog}\left(2,\frac{b c-a d}{d (a+b x)}+1\right) i^2}{b^3 g^3}+\frac{2 B^2 d^2 n^2 \text{PolyLog}\left(3,\frac{b c-a d}{d (a+b x)}+1\right) i^2}{b^3 g^3}-\frac{5 B^2 d (b c-a d) n^2 i^2}{2 b^3 g^3 (a+b x)}-\frac{B^2 (b c-a d)^2 n^2 i^2}{4 b^3 g^3 (a+b x)^2}","\frac{2 B d^2 i^2 n \text{PolyLog}\left(2,\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^3 g^3}+\frac{2 B^2 d^2 i^2 n^2 \text{PolyLog}\left(3,\frac{b (c+d x)}{d (a+b x)}\right)}{b^3 g^3}-\frac{d^2 i^2 \log \left(1-\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{b^3 g^3}-\frac{d i^2 (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{b^2 g^3 (a+b x)}-\frac{2 B d i^2 n (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^2 g^3 (a+b x)}-\frac{i^2 (c+d x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{2 b g^3 (a+b x)^2}-\frac{B i^2 n (c+d x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 b g^3 (a+b x)^2}-\frac{2 B^2 d i^2 n^2 (c+d x)}{b^2 g^3 (a+b x)}-\frac{B^2 i^2 n^2 (c+d x)^2}{4 b g^3 (a+b x)^2}",1,"-(B^2*(b*c - a*d)^2*i^2*n^2)/(4*b^3*g^3*(a + b*x)^2) - (5*B^2*d*(b*c - a*d)*i^2*n^2)/(2*b^3*g^3*(a + b*x)) - (5*B^2*d^2*i^2*n^2*Log[a + b*x])/(2*b^3*g^3) - (A*B*d^2*i^2*n*Log[a + b*x]^2)/(b^3*g^3) + (3*B^2*d^2*i^2*n^2*Log[a + b*x]^2)/(2*b^3*g^3) - (B^2*d^2*i^2*Log[-((b*c - a*d)/(d*(a + b*x)))]*Log[e*((a + b*x)/(c + d*x))^n]^2)/(b^3*g^3) - (B^2*d^2*i^2*Log[a + b*x]*Log[e*((a + b*x)/(c + d*x))^n]^2)/(b^3*g^3) - (B*(b*c - a*d)^2*i^2*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(2*b^3*g^3*(a + b*x)^2) - (3*B*d*(b*c - a*d)*i^2*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(b^3*g^3*(a + b*x)) - (3*B*d^2*i^2*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(b^3*g^3) - ((b*c - a*d)^2*i^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(2*b^3*g^3*(a + b*x)^2) - (2*d*(b*c - a*d)*i^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(b^3*g^3*(a + b*x)) + (d^2*i^2*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(b^3*g^3) + (5*B^2*d^2*i^2*n^2*Log[c + d*x])/(2*b^3*g^3) - (3*B^2*d^2*i^2*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(b^3*g^3) + (3*B*d^2*i^2*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/(b^3*g^3) + (3*B^2*d^2*i^2*n^2*Log[c + d*x]^2)/(2*b^3*g^3) + (2*A*B*d^2*i^2*n*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^3*g^3) - (3*B^2*d^2*i^2*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^3*g^3) + (2*A*B*d^2*i^2*n*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^3*g^3) - (3*B^2*d^2*i^2*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^3*g^3) - (3*B^2*d^2*i^2*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(b^3*g^3) + (2*B^2*d^2*i^2*n*Log[e*((a + b*x)/(c + d*x))^n]*PolyLog[2, 1 + (b*c - a*d)/(d*(a + b*x))])/(b^3*g^3) + (2*B^2*d^2*i^2*n^2*PolyLog[3, 1 + (b*c - a*d)/(d*(a + b*x))])/(b^3*g^3)","B",68,20,45,0.4444,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 6688, 6742, 2411, 2344, 2317, 2507, 2488, 2506, 6610}"
175,1,889,0,3.1703973,"\int \frac{(c i+d i x)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(a g+b g x)^4} \, dx","Int[((c*i + d*i*x)^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(a*g + b*g*x)^4,x]","\frac{B^2 i^2 n^2 \log ^2(a+b x) d^3}{3 b^3 (b c-a d) g^4}+\frac{B^2 i^2 n^2 \log ^2(c+d x) d^3}{3 b^3 (b c-a d) g^4}-\frac{2 B^2 i^2 n^2 \log (a+b x) d^3}{9 b^3 (b c-a d) g^4}-\frac{2 B i^2 n \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) d^3}{3 b^3 (b c-a d) g^4}+\frac{2 B^2 i^2 n^2 \log (c+d x) d^3}{9 b^3 (b c-a d) g^4}-\frac{2 B^2 i^2 n^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) d^3}{3 b^3 (b c-a d) g^4}+\frac{2 B i^2 n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \log (c+d x) d^3}{3 b^3 (b c-a d) g^4}-\frac{2 B^2 i^2 n^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) d^3}{3 b^3 (b c-a d) g^4}-\frac{2 B^2 i^2 n^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) d^3}{3 b^3 (b c-a d) g^4}-\frac{2 B^2 i^2 n^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) d^3}{3 b^3 (b c-a d) g^4}-\frac{i^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 d^2}{b^3 g^4 (a+b x)}-\frac{2 B i^2 n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) d^2}{3 b^3 g^4 (a+b x)}-\frac{2 B^2 i^2 n^2 d^2}{9 b^3 g^4 (a+b x)}-\frac{(b c-a d) i^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 d}{b^3 g^4 (a+b x)^2}-\frac{2 B (b c-a d) i^2 n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) d}{3 b^3 g^4 (a+b x)^2}-\frac{2 B^2 (b c-a d) i^2 n^2 d}{9 b^3 g^4 (a+b x)^2}-\frac{(b c-a d)^2 i^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{3 b^3 g^4 (a+b x)^3}-\frac{2 B (b c-a d)^2 i^2 n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{9 b^3 g^4 (a+b x)^3}-\frac{2 B^2 (b c-a d)^2 i^2 n^2}{27 b^3 g^4 (a+b x)^3}","-\frac{i^2 (c+d x)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{3 g^4 (a+b x)^3 (b c-a d)}-\frac{2 B i^2 n (c+d x)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{9 g^4 (a+b x)^3 (b c-a d)}-\frac{2 B^2 i^2 n^2 (c+d x)^3}{27 g^4 (a+b x)^3 (b c-a d)}",1,"(-2*B^2*(b*c - a*d)^2*i^2*n^2)/(27*b^3*g^4*(a + b*x)^3) - (2*B^2*d*(b*c - a*d)*i^2*n^2)/(9*b^3*g^4*(a + b*x)^2) - (2*B^2*d^2*i^2*n^2)/(9*b^3*g^4*(a + b*x)) - (2*B^2*d^3*i^2*n^2*Log[a + b*x])/(9*b^3*(b*c - a*d)*g^4) + (B^2*d^3*i^2*n^2*Log[a + b*x]^2)/(3*b^3*(b*c - a*d)*g^4) - (2*B*(b*c - a*d)^2*i^2*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(9*b^3*g^4*(a + b*x)^3) - (2*B*d*(b*c - a*d)*i^2*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(3*b^3*g^4*(a + b*x)^2) - (2*B*d^2*i^2*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(3*b^3*g^4*(a + b*x)) - (2*B*d^3*i^2*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(3*b^3*(b*c - a*d)*g^4) - ((b*c - a*d)^2*i^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(3*b^3*g^4*(a + b*x)^3) - (d*(b*c - a*d)*i^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(b^3*g^4*(a + b*x)^2) - (d^2*i^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(b^3*g^4*(a + b*x)) + (2*B^2*d^3*i^2*n^2*Log[c + d*x])/(9*b^3*(b*c - a*d)*g^4) - (2*B^2*d^3*i^2*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(3*b^3*(b*c - a*d)*g^4) + (2*B*d^3*i^2*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/(3*b^3*(b*c - a*d)*g^4) + (B^2*d^3*i^2*n^2*Log[c + d*x]^2)/(3*b^3*(b*c - a*d)*g^4) - (2*B^2*d^3*i^2*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(3*b^3*(b*c - a*d)*g^4) - (2*B^2*d^3*i^2*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(3*b^3*(b*c - a*d)*g^4) - (2*B^2*d^3*i^2*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(3*b^3*(b*c - a*d)*g^4)","C",86,11,45,0.2444,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391}"
176,1,989,0,3.7888683,"\int \frac{(c i+d i x)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(a g+b g x)^5} \, dx","Int[((c*i + d*i*x)^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(a*g + b*g*x)^5,x]","-\frac{B^2 i^2 n^2 \log ^2(a+b x) d^4}{12 b^3 (b c-a d)^2 g^5}-\frac{B^2 i^2 n^2 \log ^2(c+d x) d^4}{12 b^3 (b c-a d)^2 g^5}+\frac{7 B^2 i^2 n^2 \log (a+b x) d^4}{72 b^3 (b c-a d)^2 g^5}+\frac{B i^2 n \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) d^4}{6 b^3 (b c-a d)^2 g^5}-\frac{7 B^2 i^2 n^2 \log (c+d x) d^4}{72 b^3 (b c-a d)^2 g^5}+\frac{B^2 i^2 n^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) d^4}{6 b^3 (b c-a d)^2 g^5}-\frac{B i^2 n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \log (c+d x) d^4}{6 b^3 (b c-a d)^2 g^5}+\frac{B^2 i^2 n^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) d^4}{6 b^3 (b c-a d)^2 g^5}+\frac{B^2 i^2 n^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) d^4}{6 b^3 (b c-a d)^2 g^5}+\frac{B^2 i^2 n^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) d^4}{6 b^3 (b c-a d)^2 g^5}+\frac{B i^2 n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) d^3}{6 b^3 (b c-a d) g^5 (a+b x)}+\frac{7 B^2 i^2 n^2 d^3}{72 b^3 (b c-a d) g^5 (a+b x)}-\frac{i^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 d^2}{2 b^3 g^5 (a+b x)^2}-\frac{B i^2 n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) d^2}{12 b^3 g^5 (a+b x)^2}+\frac{5 B^2 i^2 n^2 d^2}{144 b^3 g^5 (a+b x)^2}-\frac{2 (b c-a d) i^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 d}{3 b^3 g^5 (a+b x)^3}-\frac{5 B (b c-a d) i^2 n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) d}{18 b^3 g^5 (a+b x)^3}-\frac{11 B^2 (b c-a d) i^2 n^2 d}{216 b^3 g^5 (a+b x)^3}-\frac{(b c-a d)^2 i^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{4 b^3 g^5 (a+b x)^4}-\frac{B (b c-a d)^2 i^2 n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{8 b^3 g^5 (a+b x)^4}-\frac{B^2 (b c-a d)^2 i^2 n^2}{32 b^3 g^5 (a+b x)^4}","-\frac{b i^2 (c+d x)^4 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{4 g^5 (a+b x)^4 (b c-a d)^2}-\frac{b B i^2 n (c+d x)^4 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{8 g^5 (a+b x)^4 (b c-a d)^2}+\frac{d i^2 (c+d x)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{3 g^5 (a+b x)^3 (b c-a d)^2}+\frac{2 B d i^2 n (c+d x)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{9 g^5 (a+b x)^3 (b c-a d)^2}-\frac{b B^2 i^2 n^2 (c+d x)^4}{32 g^5 (a+b x)^4 (b c-a d)^2}+\frac{2 B^2 d i^2 n^2 (c+d x)^3}{27 g^5 (a+b x)^3 (b c-a d)^2}",1,"-(B^2*(b*c - a*d)^2*i^2*n^2)/(32*b^3*g^5*(a + b*x)^4) - (11*B^2*d*(b*c - a*d)*i^2*n^2)/(216*b^3*g^5*(a + b*x)^3) + (5*B^2*d^2*i^2*n^2)/(144*b^3*g^5*(a + b*x)^2) + (7*B^2*d^3*i^2*n^2)/(72*b^3*(b*c - a*d)*g^5*(a + b*x)) + (7*B^2*d^4*i^2*n^2*Log[a + b*x])/(72*b^3*(b*c - a*d)^2*g^5) - (B^2*d^4*i^2*n^2*Log[a + b*x]^2)/(12*b^3*(b*c - a*d)^2*g^5) - (B*(b*c - a*d)^2*i^2*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(8*b^3*g^5*(a + b*x)^4) - (5*B*d*(b*c - a*d)*i^2*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(18*b^3*g^5*(a + b*x)^3) - (B*d^2*i^2*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(12*b^3*g^5*(a + b*x)^2) + (B*d^3*i^2*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(6*b^3*(b*c - a*d)*g^5*(a + b*x)) + (B*d^4*i^2*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(6*b^3*(b*c - a*d)^2*g^5) - ((b*c - a*d)^2*i^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(4*b^3*g^5*(a + b*x)^4) - (2*d*(b*c - a*d)*i^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(3*b^3*g^5*(a + b*x)^3) - (d^2*i^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(2*b^3*g^5*(a + b*x)^2) - (7*B^2*d^4*i^2*n^2*Log[c + d*x])/(72*b^3*(b*c - a*d)^2*g^5) + (B^2*d^4*i^2*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(6*b^3*(b*c - a*d)^2*g^5) - (B*d^4*i^2*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/(6*b^3*(b*c - a*d)^2*g^5) - (B^2*d^4*i^2*n^2*Log[c + d*x]^2)/(12*b^3*(b*c - a*d)^2*g^5) + (B^2*d^4*i^2*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(6*b^3*(b*c - a*d)^2*g^5) + (B^2*d^4*i^2*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(6*b^3*(b*c - a*d)^2*g^5) + (B^2*d^4*i^2*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(6*b^3*(b*c - a*d)^2*g^5)","C",98,11,45,0.2444,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391}"
177,1,1085,0,4.3163488,"\int \frac{(c i+d i x)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(a g+b g x)^6} \, dx","Int[((c*i + d*i*x)^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(a*g + b*g*x)^6,x]","\frac{B^2 i^2 n^2 \log ^2(a+b x) d^5}{30 b^3 (b c-a d)^3 g^6}+\frac{B^2 i^2 n^2 \log ^2(c+d x) d^5}{30 b^3 (b c-a d)^3 g^6}-\frac{47 B^2 i^2 n^2 \log (a+b x) d^5}{900 b^3 (b c-a d)^3 g^6}-\frac{B i^2 n \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) d^5}{15 b^3 (b c-a d)^3 g^6}+\frac{47 B^2 i^2 n^2 \log (c+d x) d^5}{900 b^3 (b c-a d)^3 g^6}-\frac{B^2 i^2 n^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) d^5}{15 b^3 (b c-a d)^3 g^6}+\frac{B i^2 n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \log (c+d x) d^5}{15 b^3 (b c-a d)^3 g^6}-\frac{B^2 i^2 n^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) d^5}{15 b^3 (b c-a d)^3 g^6}-\frac{B^2 i^2 n^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) d^5}{15 b^3 (b c-a d)^3 g^6}-\frac{B^2 i^2 n^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) d^5}{15 b^3 (b c-a d)^3 g^6}-\frac{B i^2 n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) d^4}{15 b^3 (b c-a d)^2 g^6 (a+b x)}-\frac{47 B^2 i^2 n^2 d^4}{900 b^3 (b c-a d)^2 g^6 (a+b x)}+\frac{B i^2 n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) d^3}{30 b^3 (b c-a d) g^6 (a+b x)^2}-\frac{13 B^2 i^2 n^2 d^3}{1800 b^3 (b c-a d) g^6 (a+b x)^2}-\frac{i^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 d^2}{3 b^3 g^6 (a+b x)^3}-\frac{B i^2 n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) d^2}{45 b^3 g^6 (a+b x)^3}+\frac{43 B^2 i^2 n^2 d^2}{2700 b^3 g^6 (a+b x)^3}-\frac{(b c-a d) i^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 d}{2 b^3 g^6 (a+b x)^4}-\frac{3 B (b c-a d) i^2 n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) d}{20 b^3 g^6 (a+b x)^4}-\frac{7 B^2 (b c-a d) i^2 n^2 d}{400 b^3 g^6 (a+b x)^4}-\frac{(b c-a d)^2 i^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{5 b^3 g^6 (a+b x)^5}-\frac{2 B (b c-a d)^2 i^2 n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{25 b^3 g^6 (a+b x)^5}-\frac{2 B^2 (b c-a d)^2 i^2 n^2}{125 b^3 g^6 (a+b x)^5}","-\frac{b^2 i^2 (c+d x)^5 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{5 g^6 (a+b x)^5 (b c-a d)^3}-\frac{2 b^2 B i^2 n (c+d x)^5 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{25 g^6 (a+b x)^5 (b c-a d)^3}-\frac{d^2 i^2 (c+d x)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{3 g^6 (a+b x)^3 (b c-a d)^3}-\frac{2 B d^2 i^2 n (c+d x)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{9 g^6 (a+b x)^3 (b c-a d)^3}+\frac{b d i^2 (c+d x)^4 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{2 g^6 (a+b x)^4 (b c-a d)^3}+\frac{b B d i^2 n (c+d x)^4 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{4 g^6 (a+b x)^4 (b c-a d)^3}-\frac{2 b^2 B^2 i^2 n^2 (c+d x)^5}{125 g^6 (a+b x)^5 (b c-a d)^3}-\frac{2 B^2 d^2 i^2 n^2 (c+d x)^3}{27 g^6 (a+b x)^3 (b c-a d)^3}+\frac{b B^2 d i^2 n^2 (c+d x)^4}{16 g^6 (a+b x)^4 (b c-a d)^3}",1,"(-2*B^2*(b*c - a*d)^2*i^2*n^2)/(125*b^3*g^6*(a + b*x)^5) - (7*B^2*d*(b*c - a*d)*i^2*n^2)/(400*b^3*g^6*(a + b*x)^4) + (43*B^2*d^2*i^2*n^2)/(2700*b^3*g^6*(a + b*x)^3) - (13*B^2*d^3*i^2*n^2)/(1800*b^3*(b*c - a*d)*g^6*(a + b*x)^2) - (47*B^2*d^4*i^2*n^2)/(900*b^3*(b*c - a*d)^2*g^6*(a + b*x)) - (47*B^2*d^5*i^2*n^2*Log[a + b*x])/(900*b^3*(b*c - a*d)^3*g^6) + (B^2*d^5*i^2*n^2*Log[a + b*x]^2)/(30*b^3*(b*c - a*d)^3*g^6) - (2*B*(b*c - a*d)^2*i^2*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(25*b^3*g^6*(a + b*x)^5) - (3*B*d*(b*c - a*d)*i^2*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(20*b^3*g^6*(a + b*x)^4) - (B*d^2*i^2*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(45*b^3*g^6*(a + b*x)^3) + (B*d^3*i^2*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(30*b^3*(b*c - a*d)*g^6*(a + b*x)^2) - (B*d^4*i^2*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(15*b^3*(b*c - a*d)^2*g^6*(a + b*x)) - (B*d^5*i^2*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(15*b^3*(b*c - a*d)^3*g^6) - ((b*c - a*d)^2*i^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(5*b^3*g^6*(a + b*x)^5) - (d*(b*c - a*d)*i^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(2*b^3*g^6*(a + b*x)^4) - (d^2*i^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(3*b^3*g^6*(a + b*x)^3) + (47*B^2*d^5*i^2*n^2*Log[c + d*x])/(900*b^3*(b*c - a*d)^3*g^6) - (B^2*d^5*i^2*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(15*b^3*(b*c - a*d)^3*g^6) + (B*d^5*i^2*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/(15*b^3*(b*c - a*d)^3*g^6) + (B^2*d^5*i^2*n^2*Log[c + d*x]^2)/(30*b^3*(b*c - a*d)^3*g^6) - (B^2*d^5*i^2*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(15*b^3*(b*c - a*d)^3*g^6) - (B^2*d^5*i^2*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(15*b^3*(b*c - a*d)^3*g^6) - (B^2*d^5*i^2*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(15*b^3*(b*c - a*d)^3*g^6)","C",110,11,45,0.2444,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391}"
178,1,961,0,4.4787937,"\int (a g+b g x)^3 (c i+d i x)^3 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 \, dx","Int[(a*g + b*g*x)^3*(c*i + d*i*x)^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2,x]","\frac{B^2 g^3 i^3 n^2 \log ^2(c+d x) (b c-a d)^7}{140 b^4 d^4}-\frac{B^2 g^3 i^3 n^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) (b c-a d)^7}{70 b^4 d^4}+\frac{B g^3 i^3 n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \log (c+d x) (b c-a d)^7}{70 b^4 d^4}-\frac{B^2 g^3 i^3 n^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) (b c-a d)^7}{70 b^4 d^4}+\frac{B^2 g^3 i^3 n^2 x (b c-a d)^6}{70 b^3 d^3}-\frac{A B g^3 i^3 n x (b c-a d)^6}{70 b^3 d^3}-\frac{B^2 g^3 i^3 n (a+b x) \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right) (b c-a d)^6}{70 b^4 d^3}-\frac{3 B^2 g^3 i^3 n^2 (a+b x)^2 (b c-a d)^5}{280 b^4 d^2}+\frac{B g^3 i^3 n (a+b x)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) (b c-a d)^5}{140 b^4 d^2}+\frac{11 B^2 g^3 i^3 n^2 (a+b x)^3 (b c-a d)^4}{1260 b^4 d}-\frac{B g^3 i^3 n (a+b x)^3 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) (b c-a d)^4}{210 b^4 d}+\frac{B^2 g^3 i^3 n^2 (a+b x)^4 (b c-a d)^3}{42 b^4}+\frac{g^3 i^3 (a+b x)^4 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 (b c-a d)^3}{4 b^4}-\frac{17 B g^3 i^3 n (a+b x)^4 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) (b c-a d)^3}{140 b^4}+\frac{B^2 d g^3 i^3 n^2 (a+b x)^5 (b c-a d)^2}{105 b^4}+\frac{3 d g^3 i^3 (a+b x)^5 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 (b c-a d)^2}{5 b^4}-\frac{B d g^3 i^3 n (a+b x)^5 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) (b c-a d)^2}{7 b^4}+\frac{d^2 g^3 i^3 (a+b x)^6 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 (b c-a d)}{2 b^4}-\frac{B d^2 g^3 i^3 n (a+b x)^6 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) (b c-a d)}{21 b^4}+\frac{d^3 g^3 i^3 (a+b x)^7 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{7 b^4}","-\frac{B g^3 i^3 n \left(6 A+11 B n+6 B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \log \left(\frac{b c-a d}{b (c+d x)}\right) (b c-a d)^7}{420 b^4 d^4}-\frac{B^2 g^3 i^3 n^2 \log \left(\frac{a+b x}{c+d x}\right) (b c-a d)^7}{210 b^4 d^4}-\frac{11 B^2 g^3 i^3 n^2 \log (c+d x) (b c-a d)^7}{420 b^4 d^4}-\frac{B^2 g^3 i^3 n^2 \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right) (b c-a d)^7}{70 b^4 d^4}+\frac{5 B^2 g^3 i^3 n^2 x (b c-a d)^6}{84 b^3 d^3}-\frac{B g^3 i^3 n (a+b x) \left(6 A+5 B n+6 B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) (b c-a d)^6}{420 b^4 d^3}-\frac{29 B^2 g^3 i^3 n^2 (c+d x)^2 (b c-a d)^5}{840 b^2 d^4}+\frac{B g^3 i^3 n (a+b x)^2 \left(3 A+B n+3 B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) (b c-a d)^5}{420 b^4 d^2}+\frac{47 B^2 g^3 i^3 n^2 (c+d x)^3 (b c-a d)^4}{1260 b d^4}-\frac{B g^3 i^3 n (a+b x)^3 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) (b c-a d)^4}{210 b^4 d}+\frac{2 B g^3 i^3 n (c+d x)^3 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) (b c-a d)^4}{21 b d^4}+\frac{B^2 g^3 i^3 n^2 (a+b x)^4 (b c-a d)^3}{140 b^4}-\frac{13 B^2 g^3 i^3 n^2 (c+d x)^4 (b c-a d)^3}{420 d^4}+\frac{g^3 i^3 (a+b x)^4 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 (b c-a d)^3}{140 b^4}-\frac{3 B g^3 i^3 n (a+b x)^4 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) (b c-a d)^3}{140 b^4}-\frac{3 B g^3 i^3 n (c+d x)^4 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) (b c-a d)^3}{14 d^4}+\frac{b B^2 g^3 i^3 n^2 (c+d x)^5 (b c-a d)^2}{105 d^4}+\frac{g^3 i^3 (a+b x)^4 (c+d x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 (b c-a d)^2}{35 b^3}+\frac{6 b B g^3 i^3 n (c+d x)^5 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) (b c-a d)^2}{35 d^4}-\frac{B g^3 i^3 n (a+b x)^4 (c+d x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) (b c-a d)^2}{35 b^3}+\frac{g^3 i^3 (a+b x)^4 (c+d x)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 (b c-a d)}{14 b^2}-\frac{b^2 B g^3 i^3 n (c+d x)^6 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) (b c-a d)}{21 d^4}+\frac{g^3 i^3 (a+b x)^4 (c+d x)^3 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{7 b}",1,"-(A*B*(b*c - a*d)^6*g^3*i^3*n*x)/(70*b^3*d^3) + (B^2*(b*c - a*d)^6*g^3*i^3*n^2*x)/(70*b^3*d^3) - (3*B^2*(b*c - a*d)^5*g^3*i^3*n^2*(a + b*x)^2)/(280*b^4*d^2) + (11*B^2*(b*c - a*d)^4*g^3*i^3*n^2*(a + b*x)^3)/(1260*b^4*d) + (B^2*(b*c - a*d)^3*g^3*i^3*n^2*(a + b*x)^4)/(42*b^4) + (B^2*d*(b*c - a*d)^2*g^3*i^3*n^2*(a + b*x)^5)/(105*b^4) - (B^2*(b*c - a*d)^6*g^3*i^3*n*(a + b*x)*Log[e*((a + b*x)/(c + d*x))^n])/(70*b^4*d^3) + (B*(b*c - a*d)^5*g^3*i^3*n*(a + b*x)^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(140*b^4*d^2) - (B*(b*c - a*d)^4*g^3*i^3*n*(a + b*x)^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(210*b^4*d) - (17*B*(b*c - a*d)^3*g^3*i^3*n*(a + b*x)^4*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(140*b^4) - (B*d*(b*c - a*d)^2*g^3*i^3*n*(a + b*x)^5*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(7*b^4) - (B*d^2*(b*c - a*d)*g^3*i^3*n*(a + b*x)^6*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(21*b^4) + ((b*c - a*d)^3*g^3*i^3*(a + b*x)^4*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(4*b^4) + (3*d*(b*c - a*d)^2*g^3*i^3*(a + b*x)^5*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(5*b^4) + (d^2*(b*c - a*d)*g^3*i^3*(a + b*x)^6*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(2*b^4) + (d^3*g^3*i^3*(a + b*x)^7*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(7*b^4) - (B^2*(b*c - a*d)^7*g^3*i^3*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(70*b^4*d^4) + (B*(b*c - a*d)^7*g^3*i^3*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/(70*b^4*d^4) + (B^2*(b*c - a*d)^7*g^3*i^3*n^2*Log[c + d*x]^2)/(140*b^4*d^4) - (B^2*(b*c - a*d)^7*g^3*i^3*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(70*b^4*d^4)","A",118,13,45,0.2889,1,"{2528, 2525, 12, 2486, 31, 43, 2524, 2418, 2394, 2393, 2391, 2390, 2301}"
179,1,886,0,3.1982881,"\int (a g+b g x)^2 (c i+d i x)^3 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 \, dx","Int[(a*g + b*g*x)^2*(c*i + d*i*x)^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2,x]","\frac{B^2 g^2 i^3 n^2 \log ^2(a+b x) (b c-a d)^6}{60 b^4 d^3}-\frac{B^2 g^2 i^3 n^2 \log (a+b x) (b c-a d)^6}{45 b^4 d^3}-\frac{B g^2 i^3 n \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) (b c-a d)^6}{30 b^4 d^3}+\frac{B^2 g^2 i^3 n^2 \log (c+d x) (b c-a d)^6}{30 b^4 d^3}-\frac{B^2 g^2 i^3 n^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) (b c-a d)^6}{30 b^4 d^3}-\frac{B^2 g^2 i^3 n^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) (b c-a d)^6}{30 b^4 d^3}-\frac{B^2 g^2 i^3 n^2 x (b c-a d)^5}{45 b^3 d^2}-\frac{A B g^2 i^3 n x (b c-a d)^5}{30 b^3 d^2}-\frac{B^2 g^2 i^3 n (a+b x) \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right) (b c-a d)^5}{30 b^4 d^2}-\frac{7 B^2 g^2 i^3 n^2 (c+d x)^2 (b c-a d)^4}{360 b^2 d^3}-\frac{B g^2 i^3 n (c+d x)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) (b c-a d)^4}{60 b^2 d^3}-\frac{B^2 g^2 i^3 n^2 (c+d x)^3 (b c-a d)^3}{60 b d^3}-\frac{B g^2 i^3 n (c+d x)^3 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) (b c-a d)^3}{90 b d^3}+\frac{B^2 g^2 i^3 n^2 (c+d x)^4 (b c-a d)^2}{60 d^3}+\frac{g^2 i^3 (c+d x)^4 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 (b c-a d)^2}{4 d^3}+\frac{7 B g^2 i^3 n (c+d x)^4 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) (b c-a d)^2}{60 d^3}-\frac{2 b g^2 i^3 (c+d x)^5 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 (b c-a d)}{5 d^3}-\frac{b B g^2 i^3 n (c+d x)^5 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) (b c-a d)}{15 d^3}+\frac{b^2 g^2 i^3 (c+d x)^6 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{6 d^3}","\frac{B g^2 i^3 n \left(2 A+3 B n+2 B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \log \left(\frac{b c-a d}{b (c+d x)}\right) (b c-a d)^6}{60 b^4 d^3}+\frac{B^2 g^2 i^3 n^2 \log \left(\frac{a+b x}{c+d x}\right) (b c-a d)^6}{36 b^4 d^3}+\frac{11 B^2 g^2 i^3 n^2 \log (c+d x) (b c-a d)^6}{180 b^4 d^3}+\frac{B^2 g^2 i^3 n^2 \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right) (b c-a d)^6}{30 b^4 d^3}-\frac{7 B^2 g^2 i^3 n^2 x (b c-a d)^5}{180 b^3 d^2}+\frac{B g^2 i^3 n (a+b x) \left(2 A+B n+2 B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) (b c-a d)^5}{60 b^4 d^2}-\frac{7 B^2 g^2 i^3 n^2 (c+d x)^2 (b c-a d)^4}{360 b^2 d^3}-\frac{B g^2 i^3 n (a+b x)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) (b c-a d)^4}{60 b^4 d}-\frac{B g^2 i^3 n (c+d x)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) (b c-a d)^4}{10 b^2 d^3}-\frac{B^2 g^2 i^3 n^2 (c+d x)^3 (b c-a d)^3}{60 b d^3}+\frac{g^2 i^3 (a+b x)^3 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 (b c-a d)^3}{60 b^4}-\frac{B g^2 i^3 n (a+b x)^3 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) (b c-a d)^3}{30 b^4}+\frac{B g^2 i^3 n (c+d x)^3 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) (b c-a d)^3}{45 b d^3}+\frac{B^2 g^2 i^3 n^2 (c+d x)^4 (b c-a d)^2}{60 d^3}+\frac{g^2 i^3 (a+b x)^3 (c+d x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 (b c-a d)^2}{20 b^3}+\frac{7 B g^2 i^3 n (c+d x)^4 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) (b c-a d)^2}{60 d^3}+\frac{g^2 i^3 (a+b x)^3 (c+d x)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 (b c-a d)}{10 b^2}-\frac{b B g^2 i^3 n (c+d x)^5 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) (b c-a d)}{15 d^3}+\frac{g^2 i^3 (a+b x)^3 (c+d x)^3 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{6 b}",1,"-(A*B*(b*c - a*d)^5*g^2*i^3*n*x)/(30*b^3*d^2) - (B^2*(b*c - a*d)^5*g^2*i^3*n^2*x)/(45*b^3*d^2) - (7*B^2*(b*c - a*d)^4*g^2*i^3*n^2*(c + d*x)^2)/(360*b^2*d^3) - (B^2*(b*c - a*d)^3*g^2*i^3*n^2*(c + d*x)^3)/(60*b*d^3) + (B^2*(b*c - a*d)^2*g^2*i^3*n^2*(c + d*x)^4)/(60*d^3) - (B^2*(b*c - a*d)^6*g^2*i^3*n^2*Log[a + b*x])/(45*b^4*d^3) + (B^2*(b*c - a*d)^6*g^2*i^3*n^2*Log[a + b*x]^2)/(60*b^4*d^3) - (B^2*(b*c - a*d)^5*g^2*i^3*n*(a + b*x)*Log[e*((a + b*x)/(c + d*x))^n])/(30*b^4*d^2) - (B*(b*c - a*d)^4*g^2*i^3*n*(c + d*x)^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(60*b^2*d^3) - (B*(b*c - a*d)^3*g^2*i^3*n*(c + d*x)^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(90*b*d^3) + (7*B*(b*c - a*d)^2*g^2*i^3*n*(c + d*x)^4*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(60*d^3) - (b*B*(b*c - a*d)*g^2*i^3*n*(c + d*x)^5*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(15*d^3) - (B*(b*c - a*d)^6*g^2*i^3*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(30*b^4*d^3) + ((b*c - a*d)^2*g^2*i^3*(c + d*x)^4*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(4*d^3) - (2*b*(b*c - a*d)*g^2*i^3*(c + d*x)^5*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(5*d^3) + (b^2*g^2*i^3*(c + d*x)^6*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(6*d^3) + (B^2*(b*c - a*d)^6*g^2*i^3*n^2*Log[c + d*x])/(30*b^4*d^3) - (B^2*(b*c - a*d)^6*g^2*i^3*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(30*b^4*d^3) - (B^2*(b*c - a*d)^6*g^2*i^3*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(30*b^4*d^3)","A",83,13,45,0.2889,1,"{2528, 2525, 12, 2486, 31, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 43}"
180,1,706,0,1.9299171,"\int (a g+b g x) (c i+d i x)^3 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 \, dx","Int[(a*g + b*g*x)*(c*i + d*i*x)^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2,x]","\frac{B^2 g i^3 n^2 (b c-a d)^5 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{10 b^4 d^2}+\frac{B g i^3 n (b c-a d)^5 \log (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{10 b^4 d^2}+\frac{B g i^3 n (c+d x)^2 (b c-a d)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{20 b^2 d^2}+\frac{A B g i^3 n x (b c-a d)^4}{10 b^3 d}+\frac{B g i^3 n (c+d x)^3 (b c-a d)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{30 b d^2}-\frac{g i^3 (c+d x)^4 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{4 d^2}-\frac{B g i^3 n (c+d x)^4 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{10 d^2}+\frac{b g i^3 (c+d x)^5 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{5 d^2}+\frac{B^2 g i^3 n^2 (c+d x)^2 (b c-a d)^3}{30 b^2 d^2}-\frac{B^2 g i^3 n^2 (b c-a d)^5 \log ^2(a+b x)}{20 b^4 d^2}+\frac{B^2 g i^3 n^2 (b c-a d)^5 \log (a+b x)}{60 b^4 d^2}-\frac{B^2 g i^3 n^2 (b c-a d)^5 \log (c+d x)}{10 b^4 d^2}+\frac{B^2 g i^3 n^2 (b c-a d)^5 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{10 b^4 d^2}+\frac{B^2 g i^3 n (a+b x) (b c-a d)^4 \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{10 b^4 d}+\frac{B^2 g i^3 n^2 x (b c-a d)^4}{60 b^3 d}+\frac{B^2 g i^3 n^2 (c+d x)^3 (b c-a d)^2}{30 b d^2}","-\frac{B^2 g i^3 n^2 (b c-a d)^5 \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{10 b^4 d^2}-\frac{B g i^3 n (b c-a d)^5 \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A+B n\right)}{10 b^4 d^2}+\frac{3 B g i^3 n (c+d x)^2 (b c-a d)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{20 b^2 d^2}-\frac{B g i^3 n (a+b x) (b c-a d)^4 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{10 b^4 d}+\frac{g i^3 (a+b x)^2 (b c-a d)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{20 b^4}-\frac{B g i^3 n (a+b x)^2 (b c-a d)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{10 b^4}+\frac{g i^3 (a+b x)^2 (c+d x) (b c-a d)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{10 b^3}+\frac{3 g i^3 (a+b x)^2 (c+d x)^2 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{20 b^2}+\frac{B g i^3 n (c+d x)^3 (b c-a d)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{30 b d^2}-\frac{B g i^3 n (c+d x)^4 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{10 d^2}+\frac{g i^3 (a+b x)^2 (c+d x)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{5 b}+\frac{B^2 g i^3 n^2 (c+d x)^2 (b c-a d)^3}{30 b^2 d^2}-\frac{B^2 g i^3 n^2 (b c-a d)^5 \log \left(\frac{a+b x}{c+d x}\right)}{12 b^4 d^2}-\frac{11 B^2 g i^3 n^2 (b c-a d)^5 \log (c+d x)}{60 b^4 d^2}+\frac{B^2 g i^3 n^2 x (b c-a d)^4}{60 b^3 d}+\frac{B^2 g i^3 n^2 (c+d x)^3 (b c-a d)^2}{30 b d^2}",1,"(A*B*(b*c - a*d)^4*g*i^3*n*x)/(10*b^3*d) + (B^2*(b*c - a*d)^4*g*i^3*n^2*x)/(60*b^3*d) + (B^2*(b*c - a*d)^3*g*i^3*n^2*(c + d*x)^2)/(30*b^2*d^2) + (B^2*(b*c - a*d)^2*g*i^3*n^2*(c + d*x)^3)/(30*b*d^2) + (B^2*(b*c - a*d)^5*g*i^3*n^2*Log[a + b*x])/(60*b^4*d^2) - (B^2*(b*c - a*d)^5*g*i^3*n^2*Log[a + b*x]^2)/(20*b^4*d^2) + (B^2*(b*c - a*d)^4*g*i^3*n*(a + b*x)*Log[e*((a + b*x)/(c + d*x))^n])/(10*b^4*d) + (B*(b*c - a*d)^3*g*i^3*n*(c + d*x)^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(20*b^2*d^2) + (B*(b*c - a*d)^2*g*i^3*n*(c + d*x)^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(30*b*d^2) - (B*(b*c - a*d)*g*i^3*n*(c + d*x)^4*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(10*d^2) + (B*(b*c - a*d)^5*g*i^3*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(10*b^4*d^2) - ((b*c - a*d)*g*i^3*(c + d*x)^4*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(4*d^2) + (b*g*i^3*(c + d*x)^5*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(5*d^2) - (B^2*(b*c - a*d)^5*g*i^3*n^2*Log[c + d*x])/(10*b^4*d^2) + (B^2*(b*c - a*d)^5*g*i^3*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(10*b^4*d^2) + (B^2*(b*c - a*d)^5*g*i^3*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(10*b^4*d^2)","A",52,13,43,0.3023,1,"{2528, 2525, 12, 2486, 31, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 43}"
181,1,544,0,0.6638416,"\int (c i+d i x)^3 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 \, dx","Int[(c*i + d*i*x)^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2,x]","-\frac{B^2 i^3 n^2 (b c-a d)^4 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{2 b^4 d}-\frac{B i^3 n (b c-a d)^4 \log (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 b^4 d}-\frac{B i^3 n (c+d x)^2 (b c-a d)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{4 b^2 d}-\frac{A B i^3 n x (b c-a d)^3}{2 b^3}-\frac{B i^3 n (c+d x)^3 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{6 b d}+\frac{i^3 (c+d x)^4 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{4 d}-\frac{B^2 i^3 n (a+b x) (b c-a d)^3 \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{2 b^4}+\frac{5 B^2 i^3 n^2 x (b c-a d)^3}{12 b^3}+\frac{B^2 i^3 n^2 (c+d x)^2 (b c-a d)^2}{12 b^2 d}+\frac{B^2 i^3 n^2 (b c-a d)^4 \log ^2(a+b x)}{4 b^4 d}+\frac{5 B^2 i^3 n^2 (b c-a d)^4 \log (a+b x)}{12 b^4 d}+\frac{B^2 i^3 n^2 (b c-a d)^4 \log (c+d x)}{2 b^4 d}-\frac{B^2 i^3 n^2 (b c-a d)^4 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{2 b^4 d}","-\frac{B^2 i^3 n^2 (b c-a d)^4 \text{PolyLog}\left(2,\frac{b (c+d x)}{d (a+b x)}\right)}{2 b^4 d}+\frac{B i^3 n (b c-a d)^4 \log \left(1-\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 b^4 d}-\frac{B i^3 n (a+b x) (b c-a d)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 b^4}-\frac{B i^3 n (c+d x)^2 (b c-a d)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{4 b^2 d}-\frac{B i^3 n (c+d x)^3 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{6 b d}+\frac{i^3 (c+d x)^4 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{4 d}+\frac{5 B^2 i^3 n^2 x (b c-a d)^3}{12 b^3}+\frac{B^2 i^3 n^2 (c+d x)^2 (b c-a d)^2}{12 b^2 d}+\frac{5 B^2 i^3 n^2 (b c-a d)^4 \log \left(\frac{a+b x}{c+d x}\right)}{12 b^4 d}+\frac{11 B^2 i^3 n^2 (b c-a d)^4 \log (c+d x)}{12 b^4 d}",1,"-(A*B*(b*c - a*d)^3*i^3*n*x)/(2*b^3) + (5*B^2*(b*c - a*d)^3*i^3*n^2*x)/(12*b^3) + (B^2*(b*c - a*d)^2*i^3*n^2*(c + d*x)^2)/(12*b^2*d) + (5*B^2*(b*c - a*d)^4*i^3*n^2*Log[a + b*x])/(12*b^4*d) + (B^2*(b*c - a*d)^4*i^3*n^2*Log[a + b*x]^2)/(4*b^4*d) - (B^2*(b*c - a*d)^3*i^3*n*(a + b*x)*Log[e*((a + b*x)/(c + d*x))^n])/(2*b^4) - (B*(b*c - a*d)^2*i^3*n*(c + d*x)^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(4*b^2*d) - (B*(b*c - a*d)*i^3*n*(c + d*x)^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(6*b*d) - (B*(b*c - a*d)^4*i^3*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(2*b^4*d) + (i^3*(c + d*x)^4*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(4*d) + (B^2*(b*c - a*d)^4*i^3*n^2*Log[c + d*x])/(2*b^4*d) - (B^2*(b*c - a*d)^4*i^3*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(2*b^4*d) - (B^2*(b*c - a*d)^4*i^3*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(2*b^4*d)","A",23,13,35,0.3714,1,"{2525, 12, 2528, 2486, 31, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 43}"
182,1,1995,0,5.6242694,"\int \frac{(c i+d i x)^3 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{a g+b g x} \, dx","Int[((c*i + d*i*x)^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(a*g + b*g*x),x]","\frac{B^2 (b c-a d)^3 n^2 \log ^3(g (a+b x)) i^3}{3 b^4 g}+\frac{5 B^2 (b c-a d)^3 n^2 \log ^2(a+b x) i^3}{6 b^4 g}-\frac{a B^2 d (b c-a d)^2 n^2 \log ^2(a+b x) i^3}{b^4 g}-\frac{A B (b c-a d)^3 n \log ^2(g (a+b x)) i^3}{b^4 g}+\frac{(c+d x)^3 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 i^3}{3 b g}+\frac{(b c-a d) (c+d x)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 i^3}{2 b^2 g}+\frac{d (b c-a d)^2 x \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 i^3}{b^3 g}-\frac{B^2 c (b c-a d)^2 n^2 \log ^2(c+d x) i^3}{b^3 g}+\frac{B^2 (b c-a d)^3 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2\left((c+d x)^{-n}\right) i^3}{b^4 g}-\frac{B^2 (b c-a d)^3 \log (g (a+b x)) \log ^2\left((c+d x)^{-n}\right) i^3}{b^4 g}-\frac{B^2 (b c-a d)^3 n \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right) \log ^2(a g+b x g) i^3}{b^4 g}-\frac{B^2 (b c-a d)^3 n^2 \log \left(\frac{b (c+d x)}{b c-a d}\right) \log ^2(a g+b x g) i^3}{b^4 g}+\frac{B^2 d (b c-a d)^2 n^2 x i^3}{3 b^3 g}-\frac{5 A B d (b c-a d)^2 n x i^3}{3 b^3 g}+\frac{B^2 (b c-a d)^3 n^2 \log (a+b x) i^3}{3 b^4 g}-\frac{B^2 (b c-a d)^3 n^2 \log ^2(g (a+b x)) \log (-c-d x) i^3}{b^4 g}-\frac{B^2 (b c-a d)^3 \log ^2\left((a+b x)^n\right) \log (-c-d x) i^3}{b^4 g}+\frac{2 B^2 (b c-a d)^3 n \log (g (a+b x)) \log \left((a+b x)^n\right) \log (-c-d x) i^3}{b^4 g}-\frac{5 B^2 d (b c-a d)^2 n (a+b x) \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right) i^3}{3 b^4 g}-\frac{B (b c-a d) n (c+d x)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) i^3}{3 b^2 g}-\frac{5 B (b c-a d)^3 n \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) i^3}{3 b^4 g}+\frac{2 a B d (b c-a d)^2 n \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) i^3}{b^4 g}+\frac{5 B^2 (b c-a d)^3 n^2 \log (c+d x) i^3}{3 b^4 g}+\frac{2 B^2 c (b c-a d)^2 n^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) i^3}{b^3 g}-\frac{2 B c (b c-a d)^2 n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \log (c+d x) i^3}{b^3 g}+\frac{B^2 (b c-a d)^3 n^2 \log ^2(g (a+b x)) \log \left(\frac{b (c+d x)}{b c-a d}\right) i^3}{b^4 g}+\frac{B^2 (b c-a d)^3 \log ^2\left((a+b x)^n\right) \log \left(\frac{b (c+d x)}{b c-a d}\right) i^3}{b^4 g}-\frac{5 B^2 (b c-a d)^3 n^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) i^3}{3 b^4 g}+\frac{2 a B^2 d (b c-a d)^2 n^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) i^3}{b^4 g}+\frac{(b c-a d)^3 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 \log (a g+b x g) i^3}{b^4 g}+\frac{2 A B (b c-a d)^3 n \log \left(\frac{b (c+d x)}{b c-a d}\right) \log (a g+b x g) i^3}{b^4 g}-\frac{2 B^2 (b c-a d)^3 n \log \left(\frac{b (c+d x)}{b c-a d}\right) \left(\log \left((a+b x)^n\right)-\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+\log \left((c+d x)^{-n}\right)\right) \log (a g+b x g) i^3}{b^4 g}-\frac{5 B^2 (b c-a d)^3 n^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) i^3}{3 b^4 g}+\frac{2 a B^2 d (b c-a d)^2 n^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) i^3}{b^4 g}+\frac{2 A B (b c-a d)^3 n \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) i^3}{b^4 g}+\frac{2 B^2 (b c-a d)^3 n \log \left((a+b x)^n\right) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) i^3}{b^4 g}-\frac{2 B^2 (b c-a d)^3 n \left(\log \left((a+b x)^n\right)-\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+\log \left((c+d x)^{-n}\right)\right) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) i^3}{b^4 g}+\frac{2 B^2 c (b c-a d)^2 n^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) i^3}{b^3 g}-\frac{2 B^2 (b c-a d)^3 n \log \left((c+d x)^{-n}\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) i^3}{b^4 g}-\frac{2 B^2 (b c-a d)^3 n^2 \text{PolyLog}\left(3,-\frac{d (a+b x)}{b c-a d}\right) i^3}{b^4 g}-\frac{2 B^2 (b c-a d)^3 n^2 \text{PolyLog}\left(3,\frac{b (c+d x)}{b c-a d}\right) i^3}{b^4 g}","\frac{2 B i^3 n (b c-a d)^3 \text{PolyLog}\left(2,\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^4 g}+\frac{2 B^2 i^3 n^2 (b c-a d)^3 \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{b^4 g}-\frac{5 B^2 i^3 n^2 (b c-a d)^3 \text{PolyLog}\left(2,\frac{b (c+d x)}{d (a+b x)}\right)}{3 b^4 g}+\frac{2 B^2 i^3 n^2 (b c-a d)^3 \text{PolyLog}\left(3,\frac{b (c+d x)}{d (a+b x)}\right)}{b^4 g}+\frac{i^3 (c+d x)^2 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{2 b^2 g}+\frac{d i^3 (a+b x) (b c-a d)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{b^4 g}-\frac{B i^3 n (c+d x)^2 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{3 b^2 g}-\frac{5 B d i^3 n (a+b x) (b c-a d)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{3 b^4 g}+\frac{2 B i^3 n (b c-a d)^3 \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^4 g}-\frac{i^3 (b c-a d)^3 \log \left(1-\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{b^4 g}+\frac{5 B i^3 n (b c-a d)^3 \log \left(1-\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{3 b^4 g}+\frac{i^3 (c+d x)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{3 b g}+\frac{B^2 d i^3 n^2 x (b c-a d)^2}{3 b^3 g}+\frac{B^2 i^3 n^2 (b c-a d)^3 \log \left(\frac{a+b x}{c+d x}\right)}{3 b^4 g}+\frac{2 B^2 i^3 n^2 (b c-a d)^3 \log (c+d x)}{b^4 g}",1,"(-5*A*B*d*(b*c - a*d)^2*i^3*n*x)/(3*b^3*g) + (B^2*d*(b*c - a*d)^2*i^3*n^2*x)/(3*b^3*g) + (B^2*(b*c - a*d)^3*i^3*n^2*Log[a + b*x])/(3*b^4*g) - (a*B^2*d*(b*c - a*d)^2*i^3*n^2*Log[a + b*x]^2)/(b^4*g) + (5*B^2*(b*c - a*d)^3*i^3*n^2*Log[a + b*x]^2)/(6*b^4*g) - (A*B*(b*c - a*d)^3*i^3*n*Log[g*(a + b*x)]^2)/(b^4*g) + (B^2*(b*c - a*d)^3*i^3*n^2*Log[g*(a + b*x)]^3)/(3*b^4*g) - (B^2*(b*c - a*d)^3*i^3*n^2*Log[g*(a + b*x)]^2*Log[-c - d*x])/(b^4*g) + (2*B^2*(b*c - a*d)^3*i^3*n*Log[g*(a + b*x)]*Log[(a + b*x)^n]*Log[-c - d*x])/(b^4*g) - (B^2*(b*c - a*d)^3*i^3*Log[(a + b*x)^n]^2*Log[-c - d*x])/(b^4*g) - (5*B^2*d*(b*c - a*d)^2*i^3*n*(a + b*x)*Log[e*((a + b*x)/(c + d*x))^n])/(3*b^4*g) - (B*(b*c - a*d)*i^3*n*(c + d*x)^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(3*b^2*g) + (2*a*B*d*(b*c - a*d)^2*i^3*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(b^4*g) - (5*B*(b*c - a*d)^3*i^3*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(3*b^4*g) + (d*(b*c - a*d)^2*i^3*x*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(b^3*g) + ((b*c - a*d)*i^3*(c + d*x)^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(2*b^2*g) + (i^3*(c + d*x)^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(3*b*g) + (5*B^2*(b*c - a*d)^3*i^3*n^2*Log[c + d*x])/(3*b^4*g) + (2*B^2*c*(b*c - a*d)^2*i^3*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(b^3*g) - (2*B*c*(b*c - a*d)^2*i^3*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/(b^3*g) - (B^2*c*(b*c - a*d)^2*i^3*n^2*Log[c + d*x]^2)/(b^3*g) + (2*a*B^2*d*(b*c - a*d)^2*i^3*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^4*g) - (5*B^2*(b*c - a*d)^3*i^3*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(3*b^4*g) + (B^2*(b*c - a*d)^3*i^3*n^2*Log[g*(a + b*x)]^2*Log[(b*(c + d*x))/(b*c - a*d)])/(b^4*g) + (B^2*(b*c - a*d)^3*i^3*Log[(a + b*x)^n]^2*Log[(b*(c + d*x))/(b*c - a*d)])/(b^4*g) + (B^2*(b*c - a*d)^3*i^3*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[(c + d*x)^(-n)]^2)/(b^4*g) - (B^2*(b*c - a*d)^3*i^3*Log[g*(a + b*x)]*Log[(c + d*x)^(-n)]^2)/(b^4*g) + ((b*c - a*d)^3*i^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2*Log[a*g + b*g*x])/(b^4*g) + (2*A*B*(b*c - a*d)^3*i^3*n*Log[(b*(c + d*x))/(b*c - a*d)]*Log[a*g + b*g*x])/(b^4*g) - (2*B^2*(b*c - a*d)^3*i^3*n*Log[(b*(c + d*x))/(b*c - a*d)]*(Log[(a + b*x)^n] - Log[e*((a + b*x)/(c + d*x))^n] + Log[(c + d*x)^(-n)])*Log[a*g + b*g*x])/(b^4*g) - (B^2*(b*c - a*d)^3*i^3*n*Log[e*((a + b*x)/(c + d*x))^n]*Log[a*g + b*g*x]^2)/(b^4*g) - (B^2*(b*c - a*d)^3*i^3*n^2*Log[(b*(c + d*x))/(b*c - a*d)]*Log[a*g + b*g*x]^2)/(b^4*g) + (2*A*B*(b*c - a*d)^3*i^3*n*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^4*g) + (2*a*B^2*d*(b*c - a*d)^2*i^3*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^4*g) - (5*B^2*(b*c - a*d)^3*i^3*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(3*b^4*g) + (2*B^2*(b*c - a*d)^3*i^3*n*Log[(a + b*x)^n]*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^4*g) - (2*B^2*(b*c - a*d)^3*i^3*n*(Log[(a + b*x)^n] - Log[e*((a + b*x)/(c + d*x))^n] + Log[(c + d*x)^(-n)])*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^4*g) + (2*B^2*c*(b*c - a*d)^2*i^3*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(b^3*g) - (2*B^2*(b*c - a*d)^3*i^3*n*Log[(c + d*x)^(-n)]*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(b^4*g) - (2*B^2*(b*c - a*d)^3*i^3*n^2*PolyLog[3, -((d*(a + b*x))/(b*c - a*d))])/(b^4*g) - (2*B^2*(b*c - a*d)^3*i^3*n^2*PolyLog[3, (b*(c + d*x))/(b*c - a*d)])/(b^4*g)","B",101,28,45,0.6222,1,"{2528, 2523, 12, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 6688, 6742, 2500, 2440, 2434, 2433, 2375, 2317, 2374, 6589, 2499, 2302, 30, 2396, 2525, 2486, 31, 43}"
183,1,1875,0,4.7381568,"\int \frac{(c i+d i x)^3 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(a g+b g x)^2} \, dx","Int[((c*i + d*i*x)^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(a*g + b*g*x)^2,x]","\frac{a^2 B^2 d^3 n^2 \log ^2(a+b x) i^3}{2 b^4 g^2}+\frac{B^2 d (b c-a d)^2 n^2 \log ^2(a+b x) i^3}{b^4 g^2}-\frac{a B^2 d^2 (3 b c-2 a d) n^2 \log ^2(a+b x) i^3}{b^4 g^2}-\frac{3 A B d (b c-a d)^2 n \log ^2(a+b x) i^3}{b^4 g^2}-\frac{3 B^2 d (b c-a d)^2 \log \left(-\frac{b c-a d}{d (a+b x)}\right) \log ^2\left(e \left(\frac{a+b x}{c+d x}\right)^n\right) i^3}{b^4 g^2}-\frac{3 B^2 d (b c-a d)^2 \log (a+b x) \log ^2\left(e \left(\frac{a+b x}{c+d x}\right)^n\right) i^3}{b^4 g^2}+\frac{d^3 x^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 i^3}{2 b^2 g^2}+\frac{d^2 (3 b c-2 a d) x \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 i^3}{b^3 g^2}+\frac{3 d (b c-a d)^2 \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 i^3}{b^4 g^2}-\frac{(b c-a d)^3 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 i^3}{b^4 g^2 (a+b x)}+\frac{B^2 d (b c-a d)^2 n^2 \log ^2(c+d x) i^3}{b^4 g^2}+\frac{B^2 c^2 d n^2 \log ^2(c+d x) i^3}{2 b^2 g^2}-\frac{B^2 c d (3 b c-2 a d) n^2 \log ^2(c+d x) i^3}{b^3 g^2}-\frac{A B d^2 (b c-a d) n x i^3}{b^3 g^2}-\frac{2 B^2 d (b c-a d)^2 n^2 \log (a+b x) i^3}{b^4 g^2}-\frac{B^2 d^2 (b c-a d) n (a+b x) \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right) i^3}{b^4 g^2}-\frac{a^2 B d^3 n \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) i^3}{b^4 g^2}-\frac{2 B d (b c-a d)^2 n \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) i^3}{b^4 g^2}+\frac{2 a B d^2 (3 b c-2 a d) n \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) i^3}{b^4 g^2}-\frac{2 B (b c-a d)^3 n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) i^3}{b^4 g^2 (a+b x)}+\frac{3 B^2 d (b c-a d)^2 n^2 \log (c+d x) i^3}{b^4 g^2}-\frac{2 B^2 d (b c-a d)^2 n^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) i^3}{b^4 g^2}-\frac{B^2 c^2 d n^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) i^3}{b^2 g^2}+\frac{2 B^2 c d (3 b c-2 a d) n^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) i^3}{b^3 g^2}+\frac{2 B d (b c-a d)^2 n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \log (c+d x) i^3}{b^4 g^2}+\frac{B c^2 d n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \log (c+d x) i^3}{b^2 g^2}-\frac{2 B c d (3 b c-2 a d) n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \log (c+d x) i^3}{b^3 g^2}-\frac{a^2 B^2 d^3 n^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) i^3}{b^4 g^2}-\frac{2 B^2 d (b c-a d)^2 n^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) i^3}{b^4 g^2}+\frac{2 a B^2 d^2 (3 b c-2 a d) n^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) i^3}{b^4 g^2}+\frac{6 A B d (b c-a d)^2 n \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) i^3}{b^4 g^2}-\frac{a^2 B^2 d^3 n^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) i^3}{b^4 g^2}-\frac{2 B^2 d (b c-a d)^2 n^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) i^3}{b^4 g^2}+\frac{2 a B^2 d^2 (3 b c-2 a d) n^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) i^3}{b^4 g^2}+\frac{6 A B d (b c-a d)^2 n \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) i^3}{b^4 g^2}-\frac{2 B^2 d (b c-a d)^2 n^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) i^3}{b^4 g^2}-\frac{B^2 c^2 d n^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) i^3}{b^2 g^2}+\frac{2 B^2 c d (3 b c-2 a d) n^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) i^3}{b^3 g^2}+\frac{6 B^2 d (b c-a d)^2 n \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right) \text{PolyLog}\left(2,\frac{b c-a d}{d (a+b x)}+1\right) i^3}{b^4 g^2}+\frac{6 B^2 d (b c-a d)^2 n^2 \text{PolyLog}\left(3,\frac{b c-a d}{d (a+b x)}+1\right) i^3}{b^4 g^2}-\frac{2 B^2 (b c-a d)^3 n^2 i^3}{b^4 g^2 (a+b x)}","\frac{6 B d i^3 n (b c-a d)^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^4 g^2}+\frac{4 B^2 d i^3 n^2 (b c-a d)^2 \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{b^4 g^2}-\frac{B^2 d i^3 n^2 (b c-a d)^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{d (a+b x)}\right)}{b^4 g^2}+\frac{6 B^2 d i^3 n^2 (b c-a d)^2 \text{PolyLog}\left(3,\frac{b (c+d x)}{d (a+b x)}\right)}{b^4 g^2}+\frac{2 d^2 i^3 (a+b x) (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{b^4 g^2}-\frac{B d^2 i^3 n (a+b x) (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^4 g^2}+\frac{d i^3 (c+d x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{2 b^2 g^2}-\frac{i^3 (c+d x) (b c-a d)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{b^3 g^2 (a+b x)}-\frac{2 B i^3 n (c+d x) (b c-a d)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^3 g^2 (a+b x)}+\frac{4 B d i^3 n (b c-a d)^2 \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^4 g^2}-\frac{3 d i^3 (b c-a d)^2 \log \left(1-\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{b^4 g^2}+\frac{B d i^3 n (b c-a d)^2 \log \left(1-\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^4 g^2}-\frac{2 B^2 i^3 n^2 (c+d x) (b c-a d)^2}{b^3 g^2 (a+b x)}+\frac{B^2 d i^3 n^2 (b c-a d)^2 \log (c+d x)}{b^4 g^2}",1,"-((A*B*d^2*(b*c - a*d)*i^3*n*x)/(b^3*g^2)) - (2*B^2*(b*c - a*d)^3*i^3*n^2)/(b^4*g^2*(a + b*x)) - (2*B^2*d*(b*c - a*d)^2*i^3*n^2*Log[a + b*x])/(b^4*g^2) - (3*A*B*d*(b*c - a*d)^2*i^3*n*Log[a + b*x]^2)/(b^4*g^2) + (a^2*B^2*d^3*i^3*n^2*Log[a + b*x]^2)/(2*b^4*g^2) - (a*B^2*d^2*(3*b*c - 2*a*d)*i^3*n^2*Log[a + b*x]^2)/(b^4*g^2) + (B^2*d*(b*c - a*d)^2*i^3*n^2*Log[a + b*x]^2)/(b^4*g^2) - (B^2*d^2*(b*c - a*d)*i^3*n*(a + b*x)*Log[e*((a + b*x)/(c + d*x))^n])/(b^4*g^2) - (3*B^2*d*(b*c - a*d)^2*i^3*Log[-((b*c - a*d)/(d*(a + b*x)))]*Log[e*((a + b*x)/(c + d*x))^n]^2)/(b^4*g^2) - (3*B^2*d*(b*c - a*d)^2*i^3*Log[a + b*x]*Log[e*((a + b*x)/(c + d*x))^n]^2)/(b^4*g^2) - (2*B*(b*c - a*d)^3*i^3*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(b^4*g^2*(a + b*x)) - (a^2*B*d^3*i^3*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(b^4*g^2) + (2*a*B*d^2*(3*b*c - 2*a*d)*i^3*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(b^4*g^2) - (2*B*d*(b*c - a*d)^2*i^3*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(b^4*g^2) + (d^2*(3*b*c - 2*a*d)*i^3*x*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(b^3*g^2) + (d^3*i^3*x^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(2*b^2*g^2) - ((b*c - a*d)^3*i^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(b^4*g^2*(a + b*x)) + (3*d*(b*c - a*d)^2*i^3*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(b^4*g^2) + (3*B^2*d*(b*c - a*d)^2*i^3*n^2*Log[c + d*x])/(b^4*g^2) - (B^2*c^2*d*i^3*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(b^2*g^2) + (2*B^2*c*d*(3*b*c - 2*a*d)*i^3*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(b^3*g^2) - (2*B^2*d*(b*c - a*d)^2*i^3*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(b^4*g^2) + (B*c^2*d*i^3*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/(b^2*g^2) - (2*B*c*d*(3*b*c - 2*a*d)*i^3*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/(b^3*g^2) + (2*B*d*(b*c - a*d)^2*i^3*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/(b^4*g^2) + (B^2*c^2*d*i^3*n^2*Log[c + d*x]^2)/(2*b^2*g^2) - (B^2*c*d*(3*b*c - 2*a*d)*i^3*n^2*Log[c + d*x]^2)/(b^3*g^2) + (B^2*d*(b*c - a*d)^2*i^3*n^2*Log[c + d*x]^2)/(b^4*g^2) + (6*A*B*d*(b*c - a*d)^2*i^3*n*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^4*g^2) - (a^2*B^2*d^3*i^3*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^4*g^2) + (2*a*B^2*d^2*(3*b*c - 2*a*d)*i^3*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^4*g^2) - (2*B^2*d*(b*c - a*d)^2*i^3*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^4*g^2) + (6*A*B*d*(b*c - a*d)^2*i^3*n*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^4*g^2) - (a^2*B^2*d^3*i^3*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^4*g^2) + (2*a*B^2*d^2*(3*b*c - 2*a*d)*i^3*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^4*g^2) - (2*B^2*d*(b*c - a*d)^2*i^3*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^4*g^2) - (B^2*c^2*d*i^3*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(b^2*g^2) + (2*B^2*c*d*(3*b*c - 2*a*d)*i^3*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(b^3*g^2) - (2*B^2*d*(b*c - a*d)^2*i^3*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(b^4*g^2) + (6*B^2*d*(b*c - a*d)^2*i^3*n*Log[e*((a + b*x)/(c + d*x))^n]*PolyLog[2, 1 + (b*c - a*d)/(d*(a + b*x))])/(b^4*g^2) + (6*B^2*d*(b*c - a*d)^2*i^3*n^2*PolyLog[3, 1 + (b*c - a*d)/(d*(a + b*x))])/(b^4*g^2)","B",83,23,45,0.5111,1,"{2528, 2523, 12, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 2525, 2486, 31, 44, 6688, 6742, 2411, 2344, 2317, 2507, 2488, 2506, 6610}"
184,1,1512,0,4.8111141,"\int \frac{(c i+d i x)^3 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(a g+b g x)^3} \, dx","Int[((c*i + d*i*x)^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(a*g + b*g*x)^3,x]","-\frac{a B^2 d^3 n^2 \log ^2(a+b x) i^3}{b^4 g^3}+\frac{5 B^2 d^2 (b c-a d) n^2 \log ^2(a+b x) i^3}{2 b^4 g^3}-\frac{3 A B d^2 (b c-a d) n \log ^2(a+b x) i^3}{b^4 g^3}-\frac{3 B^2 d^2 (b c-a d) \log \left(-\frac{b c-a d}{d (a+b x)}\right) \log ^2\left(e \left(\frac{a+b x}{c+d x}\right)^n\right) i^3}{b^4 g^3}-\frac{3 B^2 d^2 (b c-a d) \log (a+b x) \log ^2\left(e \left(\frac{a+b x}{c+d x}\right)^n\right) i^3}{b^4 g^3}+\frac{d^3 x \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 i^3}{b^3 g^3}+\frac{3 d^2 (b c-a d) \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 i^3}{b^4 g^3}-\frac{3 d (b c-a d)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 i^3}{b^4 g^3 (a+b x)}-\frac{(b c-a d)^3 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 i^3}{2 b^4 g^3 (a+b x)^2}-\frac{B^2 c d^2 n^2 \log ^2(c+d x) i^3}{b^3 g^3}+\frac{5 B^2 d^2 (b c-a d) n^2 \log ^2(c+d x) i^3}{2 b^4 g^3}-\frac{9 B^2 d^2 (b c-a d) n^2 \log (a+b x) i^3}{2 b^4 g^3}+\frac{2 a B d^3 n \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) i^3}{b^4 g^3}-\frac{5 B d^2 (b c-a d) n \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) i^3}{b^4 g^3}-\frac{5 B d (b c-a d)^2 n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) i^3}{b^4 g^3 (a+b x)}-\frac{B (b c-a d)^3 n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) i^3}{2 b^4 g^3 (a+b x)^2}+\frac{9 B^2 d^2 (b c-a d) n^2 \log (c+d x) i^3}{2 b^4 g^3}+\frac{2 B^2 c d^2 n^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) i^3}{b^3 g^3}-\frac{5 B^2 d^2 (b c-a d) n^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) i^3}{b^4 g^3}-\frac{2 B c d^2 n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \log (c+d x) i^3}{b^3 g^3}+\frac{5 B d^2 (b c-a d) n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \log (c+d x) i^3}{b^4 g^3}+\frac{2 a B^2 d^3 n^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) i^3}{b^4 g^3}-\frac{5 B^2 d^2 (b c-a d) n^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) i^3}{b^4 g^3}+\frac{6 A B d^2 (b c-a d) n \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) i^3}{b^4 g^3}+\frac{2 a B^2 d^3 n^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) i^3}{b^4 g^3}-\frac{5 B^2 d^2 (b c-a d) n^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) i^3}{b^4 g^3}+\frac{6 A B d^2 (b c-a d) n \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) i^3}{b^4 g^3}+\frac{2 B^2 c d^2 n^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) i^3}{b^3 g^3}-\frac{5 B^2 d^2 (b c-a d) n^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) i^3}{b^4 g^3}+\frac{6 B^2 d^2 (b c-a d) n \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right) \text{PolyLog}\left(2,\frac{b c-a d}{d (a+b x)}+1\right) i^3}{b^4 g^3}+\frac{6 B^2 d^2 (b c-a d) n^2 \text{PolyLog}\left(3,\frac{b c-a d}{d (a+b x)}+1\right) i^3}{b^4 g^3}-\frac{9 B^2 d (b c-a d)^2 n^2 i^3}{2 b^4 g^3 (a+b x)}-\frac{B^2 (b c-a d)^3 n^2 i^3}{4 b^4 g^3 (a+b x)^2}","\frac{6 B d^2 i^3 n (b c-a d) \text{PolyLog}\left(2,\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^4 g^3}+\frac{2 B^2 d^2 i^3 n^2 (b c-a d) \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{b^4 g^3}+\frac{6 B^2 d^2 i^3 n^2 (b c-a d) \text{PolyLog}\left(3,\frac{b (c+d x)}{d (a+b x)}\right)}{b^4 g^3}+\frac{d^3 i^3 (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{b^4 g^3}+\frac{2 B d^2 i^3 n (b c-a d) \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^4 g^3}-\frac{3 d^2 i^3 (b c-a d) \log \left(1-\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{b^4 g^3}-\frac{i^3 (c+d x)^2 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{2 b^2 g^3 (a+b x)^2}-\frac{2 d i^3 (c+d x) (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{b^3 g^3 (a+b x)}-\frac{B i^3 n (c+d x)^2 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 b^2 g^3 (a+b x)^2}-\frac{4 B d i^3 n (c+d x) (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^3 g^3 (a+b x)}-\frac{B^2 i^3 n^2 (c+d x)^2 (b c-a d)}{4 b^2 g^3 (a+b x)^2}-\frac{4 B^2 d i^3 n^2 (c+d x) (b c-a d)}{b^3 g^3 (a+b x)}",1,"-(B^2*(b*c - a*d)^3*i^3*n^2)/(4*b^4*g^3*(a + b*x)^2) - (9*B^2*d*(b*c - a*d)^2*i^3*n^2)/(2*b^4*g^3*(a + b*x)) - (9*B^2*d^2*(b*c - a*d)*i^3*n^2*Log[a + b*x])/(2*b^4*g^3) - (3*A*B*d^2*(b*c - a*d)*i^3*n*Log[a + b*x]^2)/(b^4*g^3) - (a*B^2*d^3*i^3*n^2*Log[a + b*x]^2)/(b^4*g^3) + (5*B^2*d^2*(b*c - a*d)*i^3*n^2*Log[a + b*x]^2)/(2*b^4*g^3) - (3*B^2*d^2*(b*c - a*d)*i^3*Log[-((b*c - a*d)/(d*(a + b*x)))]*Log[e*((a + b*x)/(c + d*x))^n]^2)/(b^4*g^3) - (3*B^2*d^2*(b*c - a*d)*i^3*Log[a + b*x]*Log[e*((a + b*x)/(c + d*x))^n]^2)/(b^4*g^3) - (B*(b*c - a*d)^3*i^3*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(2*b^4*g^3*(a + b*x)^2) - (5*B*d*(b*c - a*d)^2*i^3*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(b^4*g^3*(a + b*x)) + (2*a*B*d^3*i^3*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(b^4*g^3) - (5*B*d^2*(b*c - a*d)*i^3*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(b^4*g^3) + (d^3*i^3*x*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(b^3*g^3) - ((b*c - a*d)^3*i^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(2*b^4*g^3*(a + b*x)^2) - (3*d*(b*c - a*d)^2*i^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(b^4*g^3*(a + b*x)) + (3*d^2*(b*c - a*d)*i^3*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(b^4*g^3) + (9*B^2*d^2*(b*c - a*d)*i^3*n^2*Log[c + d*x])/(2*b^4*g^3) + (2*B^2*c*d^2*i^3*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(b^3*g^3) - (5*B^2*d^2*(b*c - a*d)*i^3*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(b^4*g^3) - (2*B*c*d^2*i^3*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/(b^3*g^3) + (5*B*d^2*(b*c - a*d)*i^3*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/(b^4*g^3) - (B^2*c*d^2*i^3*n^2*Log[c + d*x]^2)/(b^3*g^3) + (5*B^2*d^2*(b*c - a*d)*i^3*n^2*Log[c + d*x]^2)/(2*b^4*g^3) + (6*A*B*d^2*(b*c - a*d)*i^3*n*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^4*g^3) + (2*a*B^2*d^3*i^3*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^4*g^3) - (5*B^2*d^2*(b*c - a*d)*i^3*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^4*g^3) + (6*A*B*d^2*(b*c - a*d)*i^3*n*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^4*g^3) + (2*a*B^2*d^3*i^3*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^4*g^3) - (5*B^2*d^2*(b*c - a*d)*i^3*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^4*g^3) + (2*B^2*c*d^2*i^3*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(b^3*g^3) - (5*B^2*d^2*(b*c - a*d)*i^3*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(b^4*g^3) + (6*B^2*d^2*(b*c - a*d)*i^3*n*Log[e*((a + b*x)/(c + d*x))^n]*PolyLog[2, 1 + (b*c - a*d)/(d*(a + b*x))])/(b^4*g^3) + (6*B^2*d^2*(b*c - a*d)*i^3*n^2*PolyLog[3, 1 + (b*c - a*d)/(d*(a + b*x))])/(b^4*g^3)","B",88,21,45,0.4667,1,"{2528, 2523, 12, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 2525, 44, 6688, 6742, 2411, 2344, 2317, 2507, 2488, 2506, 6610}"
185,1,1170,0,5.093328,"\int \frac{(c i+d i x)^3 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(a g+b g x)^4} \, dx","Int[((c*i + d*i*x)^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(a*g + b*g*x)^4,x]","\frac{11 B^2 d^3 n^2 \log ^2(a+b x) i^3}{6 b^4 g^4}-\frac{A B d^3 n \log ^2(a+b x) i^3}{b^4 g^4}-\frac{B^2 d^3 \log \left(-\frac{b c-a d}{d (a+b x)}\right) \log ^2\left(e \left(\frac{a+b x}{c+d x}\right)^n\right) i^3}{b^4 g^4}-\frac{B^2 d^3 \log (a+b x) \log ^2\left(e \left(\frac{a+b x}{c+d x}\right)^n\right) i^3}{b^4 g^4}+\frac{d^3 \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 i^3}{b^4 g^4}-\frac{3 d^2 (b c-a d) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 i^3}{b^4 g^4 (a+b x)}-\frac{3 d (b c-a d)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 i^3}{2 b^4 g^4 (a+b x)^2}-\frac{(b c-a d)^3 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 i^3}{3 b^4 g^4 (a+b x)^3}+\frac{11 B^2 d^3 n^2 \log ^2(c+d x) i^3}{6 b^4 g^4}-\frac{49 B^2 d^3 n^2 \log (a+b x) i^3}{18 b^4 g^4}-\frac{11 B d^3 n \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) i^3}{3 b^4 g^4}-\frac{11 B d^2 (b c-a d) n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) i^3}{3 b^4 g^4 (a+b x)}-\frac{7 B d (b c-a d)^2 n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) i^3}{6 b^4 g^4 (a+b x)^2}-\frac{2 B (b c-a d)^3 n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) i^3}{9 b^4 g^4 (a+b x)^3}+\frac{49 B^2 d^3 n^2 \log (c+d x) i^3}{18 b^4 g^4}-\frac{11 B^2 d^3 n^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) i^3}{3 b^4 g^4}+\frac{11 B d^3 n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \log (c+d x) i^3}{3 b^4 g^4}-\frac{11 B^2 d^3 n^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) i^3}{3 b^4 g^4}+\frac{2 A B d^3 n \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) i^3}{b^4 g^4}-\frac{11 B^2 d^3 n^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) i^3}{3 b^4 g^4}+\frac{2 A B d^3 n \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) i^3}{b^4 g^4}-\frac{11 B^2 d^3 n^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) i^3}{3 b^4 g^4}+\frac{2 B^2 d^3 n \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right) \text{PolyLog}\left(2,\frac{b c-a d}{d (a+b x)}+1\right) i^3}{b^4 g^4}+\frac{2 B^2 d^3 n^2 \text{PolyLog}\left(3,\frac{b c-a d}{d (a+b x)}+1\right) i^3}{b^4 g^4}-\frac{49 B^2 d^2 (b c-a d) n^2 i^3}{18 b^4 g^4 (a+b x)}-\frac{17 B^2 d (b c-a d)^2 n^2 i^3}{36 b^4 g^4 (a+b x)^2}-\frac{2 B^2 (b c-a d)^3 n^2 i^3}{27 b^4 g^4 (a+b x)^3}","\frac{2 B d^3 i^3 n \text{PolyLog}\left(2,\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^4 g^4}+\frac{2 B^2 d^3 i^3 n^2 \text{PolyLog}\left(3,\frac{b (c+d x)}{d (a+b x)}\right)}{b^4 g^4}-\frac{d^2 i^3 (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{b^3 g^4 (a+b x)}-\frac{2 B d^2 i^3 n (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{b^3 g^4 (a+b x)}-\frac{d^3 i^3 \log \left(1-\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{b^4 g^4}-\frac{d i^3 (c+d x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{2 b^2 g^4 (a+b x)^2}-\frac{B d i^3 n (c+d x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 b^2 g^4 (a+b x)^2}-\frac{i^3 (c+d x)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{3 b g^4 (a+b x)^3}-\frac{2 B i^3 n (c+d x)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{9 b g^4 (a+b x)^3}-\frac{2 B^2 d^2 i^3 n^2 (c+d x)}{b^3 g^4 (a+b x)}-\frac{B^2 d i^3 n^2 (c+d x)^2}{4 b^2 g^4 (a+b x)^2}-\frac{2 B^2 i^3 n^2 (c+d x)^3}{27 b g^4 (a+b x)^3}",1,"(-2*B^2*(b*c - a*d)^3*i^3*n^2)/(27*b^4*g^4*(a + b*x)^3) - (17*B^2*d*(b*c - a*d)^2*i^3*n^2)/(36*b^4*g^4*(a + b*x)^2) - (49*B^2*d^2*(b*c - a*d)*i^3*n^2)/(18*b^4*g^4*(a + b*x)) - (49*B^2*d^3*i^3*n^2*Log[a + b*x])/(18*b^4*g^4) - (A*B*d^3*i^3*n*Log[a + b*x]^2)/(b^4*g^4) + (11*B^2*d^3*i^3*n^2*Log[a + b*x]^2)/(6*b^4*g^4) - (B^2*d^3*i^3*Log[-((b*c - a*d)/(d*(a + b*x)))]*Log[e*((a + b*x)/(c + d*x))^n]^2)/(b^4*g^4) - (B^2*d^3*i^3*Log[a + b*x]*Log[e*((a + b*x)/(c + d*x))^n]^2)/(b^4*g^4) - (2*B*(b*c - a*d)^3*i^3*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(9*b^4*g^4*(a + b*x)^3) - (7*B*d*(b*c - a*d)^2*i^3*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(6*b^4*g^4*(a + b*x)^2) - (11*B*d^2*(b*c - a*d)*i^3*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(3*b^4*g^4*(a + b*x)) - (11*B*d^3*i^3*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(3*b^4*g^4) - ((b*c - a*d)^3*i^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(3*b^4*g^4*(a + b*x)^3) - (3*d*(b*c - a*d)^2*i^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(2*b^4*g^4*(a + b*x)^2) - (3*d^2*(b*c - a*d)*i^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(b^4*g^4*(a + b*x)) + (d^3*i^3*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(b^4*g^4) + (49*B^2*d^3*i^3*n^2*Log[c + d*x])/(18*b^4*g^4) - (11*B^2*d^3*i^3*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(3*b^4*g^4) + (11*B*d^3*i^3*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/(3*b^4*g^4) + (11*B^2*d^3*i^3*n^2*Log[c + d*x]^2)/(6*b^4*g^4) + (2*A*B*d^3*i^3*n*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(b^4*g^4) - (11*B^2*d^3*i^3*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(3*b^4*g^4) + (2*A*B*d^3*i^3*n*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(b^4*g^4) - (11*B^2*d^3*i^3*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(3*b^4*g^4) - (11*B^2*d^3*i^3*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(3*b^4*g^4) + (2*B^2*d^3*i^3*n*Log[e*((a + b*x)/(c + d*x))^n]*PolyLog[2, 1 + (b*c - a*d)/(d*(a + b*x))])/(b^4*g^4) + (2*B^2*d^3*i^3*n^2*PolyLog[3, 1 + (b*c - a*d)/(d*(a + b*x))])/(b^4*g^4)","B",100,20,45,0.4444,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 6688, 6742, 2411, 2344, 2317, 2507, 2488, 2506, 6610}"
186,1,1952,0,5.5854275,"\int \frac{(a g+b g x)^3 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{c i+d i x} \, dx","Int[((a*g + b*g*x)^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(c*i + d*i*x),x]","-\frac{B^2 (b c-a d)^3 n^2 \log ^3(i (c+d x)) g^3}{3 d^4 i}-\frac{a B^2 (b c-a d)^2 n^2 \log ^2(a+b x) g^3}{d^3 i}+\frac{(a+b x)^3 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 g^3}{3 d i}-\frac{(b c-a d) (a+b x)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 g^3}{2 d^2 i}+\frac{b (b c-a d)^2 x \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 g^3}{d^3 i}-\frac{5 B^2 (b c-a d)^3 n^2 \log ^2(c+d x) g^3}{6 d^4 i}-\frac{b B^2 c (b c-a d)^2 n^2 \log ^2(c+d x) g^3}{d^4 i}-\frac{A B (b c-a d)^3 n \log ^2(i (c+d x)) g^3}{d^4 i}+\frac{B^2 (b c-a d)^3 n^2 \log (a+b x) \log ^2(i (c+d x)) g^3}{d^4 i}-\frac{B^2 (b c-a d)^3 n^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2(i (c+d x)) g^3}{d^4 i}+\frac{B^2 (b c-a d)^3 \log (a+b x) \log ^2\left((c+d x)^{-n}\right) g^3}{d^4 i}-\frac{B^2 (b c-a d)^3 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2\left((c+d x)^{-n}\right) g^3}{d^4 i}+\frac{B^2 (b c-a d)^3 n^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2(c i+d x i) g^3}{d^4 i}-\frac{B^2 (b c-a d)^3 n \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right) \log ^2(c i+d x i) g^3}{d^4 i}+\frac{b B^2 (b c-a d)^2 n^2 x g^3}{3 d^3 i}+\frac{5 A b B (b c-a d)^2 n x g^3}{3 d^3 i}+\frac{5 B^2 (b c-a d)^2 n (a+b x) \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right) g^3}{3 d^3 i}-\frac{B (b c-a d) n (a+b x)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) g^3}{3 d^2 i}+\frac{2 a B (b c-a d)^2 n \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) g^3}{d^3 i}-\frac{2 B^2 (b c-a d)^3 n^2 \log (c+d x) g^3}{d^4 i}+\frac{5 B^2 (b c-a d)^3 n^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) g^3}{3 d^4 i}+\frac{2 b B^2 c (b c-a d)^2 n^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) g^3}{d^4 i}-\frac{5 B (b c-a d)^3 n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \log (c+d x) g^3}{3 d^4 i}-\frac{2 b B c (b c-a d)^2 n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \log (c+d x) g^3}{d^4 i}-\frac{B^2 (b c-a d)^3 \log ^2\left((a+b x)^n\right) \log \left(\frac{b (c+d x)}{b c-a d}\right) g^3}{d^4 i}+\frac{2 a B^2 (b c-a d)^2 n^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) g^3}{d^3 i}+\frac{B^2 (b c-a d)^3 \log ^2\left((a+b x)^n\right) \log (i (c+d x)) g^3}{d^4 i}+\frac{2 B^2 (b c-a d)^3 n \log (a+b x) \log (i (c+d x)) \log \left((c+d x)^{-n}\right) g^3}{d^4 i}-\frac{(b c-a d)^3 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 \log (c i+d x i) g^3}{d^4 i}+\frac{2 A B (b c-a d)^3 n \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c i+d x i) g^3}{d^4 i}-\frac{2 B^2 (b c-a d)^3 n \log \left(-\frac{d (a+b x)}{b c-a d}\right) \left(\log \left((a+b x)^n\right)-\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+\log \left((c+d x)^{-n}\right)\right) \log (c i+d x i) g^3}{d^4 i}+\frac{2 a B^2 (b c-a d)^2 n^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) g^3}{d^3 i}-\frac{2 B^2 (b c-a d)^3 n \log \left((a+b x)^n\right) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) g^3}{d^4 i}+\frac{5 B^2 (b c-a d)^3 n^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) g^3}{3 d^4 i}+\frac{2 b B^2 c (b c-a d)^2 n^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) g^3}{d^4 i}+\frac{2 A B (b c-a d)^3 n \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) g^3}{d^4 i}+\frac{2 B^2 (b c-a d)^3 n \log \left((c+d x)^{-n}\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) g^3}{d^4 i}-\frac{2 B^2 (b c-a d)^3 n \left(\log \left((a+b x)^n\right)-\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+\log \left((c+d x)^{-n}\right)\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) g^3}{d^4 i}+\frac{2 B^2 (b c-a d)^3 n^2 \text{PolyLog}\left(3,-\frac{d (a+b x)}{b c-a d}\right) g^3}{d^4 i}+\frac{2 B^2 (b c-a d)^3 n^2 \text{PolyLog}\left(3,\frac{b (c+d x)}{b c-a d}\right) g^3}{d^4 i}","\frac{2 B g^3 n (b c-a d)^3 \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{d^4 i}+\frac{6 B^2 g^3 n^2 (b c-a d)^3 \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{d^4 i}+\frac{7 B^2 g^3 n^2 (b c-a d)^3 \text{PolyLog}\left(2,\frac{b (c+d x)}{d (a+b x)}\right)}{3 d^4 i}-\frac{2 B^2 g^3 n^2 (b c-a d)^3 \text{PolyLog}\left(3,\frac{d (a+b x)}{b (c+d x)}\right)}{d^4 i}+\frac{b^3 g^3 (c+d x)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{3 d^4 i}-\frac{3 b^2 g^3 (c+d x)^2 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{2 d^4 i}-\frac{b^2 B g^3 n (c+d x)^2 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{3 d^4 i}+\frac{3 g^3 (a+b x) (b c-a d)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{d^3 i}+\frac{7 B g^3 n (a+b x) (b c-a d)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{3 d^3 i}+\frac{g^3 (b c-a d)^3 \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{d^4 i}+\frac{6 B g^3 n (b c-a d)^3 \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{d^4 i}-\frac{7 B g^3 n (b c-a d)^3 \log \left(1-\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{3 d^4 i}+\frac{b B^2 g^3 n^2 x (b c-a d)^2}{3 d^3 i}+\frac{B^2 g^3 n^2 (b c-a d)^3 \log \left(\frac{a+b x}{c+d x}\right)}{3 d^4 i}-\frac{2 B^2 g^3 n^2 (b c-a d)^3 \log (c+d x)}{d^4 i}",1,"(5*A*b*B*(b*c - a*d)^2*g^3*n*x)/(3*d^3*i) + (b*B^2*(b*c - a*d)^2*g^3*n^2*x)/(3*d^3*i) - (a*B^2*(b*c - a*d)^2*g^3*n^2*Log[a + b*x]^2)/(d^3*i) + (5*B^2*(b*c - a*d)^2*g^3*n*(a + b*x)*Log[e*((a + b*x)/(c + d*x))^n])/(3*d^3*i) - (B*(b*c - a*d)*g^3*n*(a + b*x)^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(3*d^2*i) + (2*a*B*(b*c - a*d)^2*g^3*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(d^3*i) + (b*(b*c - a*d)^2*g^3*x*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(d^3*i) - ((b*c - a*d)*g^3*(a + b*x)^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(2*d^2*i) + (g^3*(a + b*x)^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(3*d*i) - (2*B^2*(b*c - a*d)^3*g^3*n^2*Log[c + d*x])/(d^4*i) + (2*b*B^2*c*(b*c - a*d)^2*g^3*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^4*i) + (5*B^2*(b*c - a*d)^3*g^3*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(3*d^4*i) - (2*b*B*c*(b*c - a*d)^2*g^3*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/(d^4*i) - (5*B*(b*c - a*d)^3*g^3*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/(3*d^4*i) - (b*B^2*c*(b*c - a*d)^2*g^3*n^2*Log[c + d*x]^2)/(d^4*i) - (5*B^2*(b*c - a*d)^3*g^3*n^2*Log[c + d*x]^2)/(6*d^4*i) + (2*a*B^2*(b*c - a*d)^2*g^3*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(d^3*i) - (B^2*(b*c - a*d)^3*g^3*Log[(a + b*x)^n]^2*Log[(b*(c + d*x))/(b*c - a*d)])/(d^4*i) + (B^2*(b*c - a*d)^3*g^3*Log[(a + b*x)^n]^2*Log[i*(c + d*x)])/(d^4*i) - (A*B*(b*c - a*d)^3*g^3*n*Log[i*(c + d*x)]^2)/(d^4*i) + (B^2*(b*c - a*d)^3*g^3*n^2*Log[a + b*x]*Log[i*(c + d*x)]^2)/(d^4*i) - (B^2*(b*c - a*d)^3*g^3*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[i*(c + d*x)]^2)/(d^4*i) - (B^2*(b*c - a*d)^3*g^3*n^2*Log[i*(c + d*x)]^3)/(3*d^4*i) + (2*B^2*(b*c - a*d)^3*g^3*n*Log[a + b*x]*Log[i*(c + d*x)]*Log[(c + d*x)^(-n)])/(d^4*i) + (B^2*(b*c - a*d)^3*g^3*Log[a + b*x]*Log[(c + d*x)^(-n)]^2)/(d^4*i) - (B^2*(b*c - a*d)^3*g^3*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[(c + d*x)^(-n)]^2)/(d^4*i) + (2*A*B*(b*c - a*d)^3*g^3*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c*i + d*i*x])/(d^4*i) - ((b*c - a*d)^3*g^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2*Log[c*i + d*i*x])/(d^4*i) - (2*B^2*(b*c - a*d)^3*g^3*n*Log[-((d*(a + b*x))/(b*c - a*d))]*(Log[(a + b*x)^n] - Log[e*((a + b*x)/(c + d*x))^n] + Log[(c + d*x)^(-n)])*Log[c*i + d*i*x])/(d^4*i) + (B^2*(b*c - a*d)^3*g^3*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c*i + d*i*x]^2)/(d^4*i) - (B^2*(b*c - a*d)^3*g^3*n*Log[e*((a + b*x)/(c + d*x))^n]*Log[c*i + d*i*x]^2)/(d^4*i) + (2*a*B^2*(b*c - a*d)^2*g^3*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(d^3*i) - (2*B^2*(b*c - a*d)^3*g^3*n*Log[(a + b*x)^n]*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(d^4*i) + (2*A*B*(b*c - a*d)^3*g^3*n*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^4*i) + (2*b*B^2*c*(b*c - a*d)^2*g^3*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^4*i) + (5*B^2*(b*c - a*d)^3*g^3*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(3*d^4*i) + (2*B^2*(b*c - a*d)^3*g^3*n*Log[(c + d*x)^(-n)]*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^4*i) - (2*B^2*(b*c - a*d)^3*g^3*n*(Log[(a + b*x)^n] - Log[e*((a + b*x)/(c + d*x))^n] + Log[(c + d*x)^(-n)])*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^4*i) + (2*B^2*(b*c - a*d)^3*g^3*n^2*PolyLog[3, -((d*(a + b*x))/(b*c - a*d))])/(d^4*i) + (2*B^2*(b*c - a*d)^3*g^3*n^2*PolyLog[3, (b*(c + d*x))/(b*c - a*d)])/(d^4*i)","B",101,28,45,0.6222,1,"{2528, 2523, 12, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 2525, 2486, 31, 43, 6688, 6742, 2499, 2396, 2433, 2374, 6589, 2302, 30, 2500, 2375, 2317, 2440, 2434}"
187,1,1780,0,4.7455154,"\int \frac{(a g+b g x)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{c i+d i x} \, dx","Int[((a*g + b*g*x)^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(c*i + d*i*x),x]","\frac{B^2 (b c-a d)^2 g^2 n^2 \log ^3(i (c+d x))}{3 d^3 i}+\frac{A B (b c-a d)^2 g^2 n \log ^2(i (c+d x))}{d^3 i}-\frac{B^2 (b c-a d)^2 g^2 n^2 \log (a+b x) \log ^2(i (c+d x))}{d^3 i}+\frac{B^2 (b c-a d)^2 g^2 n^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2(i (c+d x))}{d^3 i}-\frac{B^2 (b c-a d)^2 g^2 \log ^2\left((a+b x)^n\right) \log (i (c+d x))}{d^3 i}-\frac{2 B^2 (b c-a d)^2 g^2 n \log (a+b x) \log \left((c+d x)^{-n}\right) \log (i (c+d x))}{d^3 i}+\frac{a B^2 (b c-a d) g^2 n^2 \log ^2(a+b x)}{d^2 i}+\frac{g^2 (a+b x)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{2 d i}-\frac{b (b c-a d) g^2 x \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{d^2 i}+\frac{B^2 (b c-a d)^2 g^2 n^2 \log ^2(c+d x)}{2 d^3 i}+\frac{b B^2 c (b c-a d) g^2 n^2 \log ^2(c+d x)}{d^3 i}-\frac{B^2 (b c-a d)^2 g^2 \log (a+b x) \log ^2\left((c+d x)^{-n}\right)}{d^3 i}+\frac{B^2 (b c-a d)^2 g^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2\left((c+d x)^{-n}\right)}{d^3 i}-\frac{B^2 (b c-a d)^2 g^2 n^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2(c i+d x i)}{d^3 i}+\frac{B^2 (b c-a d)^2 g^2 n \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right) \log ^2(c i+d x i)}{d^3 i}-\frac{A b B (b c-a d) g^2 n x}{d^2 i}-\frac{B^2 (b c-a d) g^2 n (a+b x) \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{d^2 i}-\frac{2 a B (b c-a d) g^2 n \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{d^2 i}+\frac{B^2 (b c-a d)^2 g^2 n^2 \log (c+d x)}{d^3 i}-\frac{B^2 (b c-a d)^2 g^2 n^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{d^3 i}-\frac{2 b B^2 c (b c-a d) g^2 n^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{d^3 i}+\frac{B (b c-a d)^2 g^2 n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \log (c+d x)}{d^3 i}+\frac{2 b B c (b c-a d) g^2 n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \log (c+d x)}{d^3 i}+\frac{B^2 (b c-a d)^2 g^2 \log ^2\left((a+b x)^n\right) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{d^3 i}-\frac{2 a B^2 (b c-a d) g^2 n^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{d^2 i}+\frac{(b c-a d)^2 g^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 \log (c i+d x i)}{d^3 i}-\frac{2 A B (b c-a d)^2 g^2 n \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c i+d x i)}{d^3 i}+\frac{2 B^2 (b c-a d)^2 g^2 n \log \left(-\frac{d (a+b x)}{b c-a d}\right) \left(\log \left((a+b x)^n\right)-\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+\log \left((c+d x)^{-n}\right)\right) \log (c i+d x i)}{d^3 i}-\frac{2 a B^2 (b c-a d) g^2 n^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{d^2 i}+\frac{2 B^2 (b c-a d)^2 g^2 n \log \left((a+b x)^n\right) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{d^3 i}-\frac{B^2 (b c-a d)^2 g^2 n^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^3 i}-\frac{2 b B^2 c (b c-a d) g^2 n^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^3 i}-\frac{2 A B (b c-a d)^2 g^2 n \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^3 i}-\frac{2 B^2 (b c-a d)^2 g^2 n \log \left((c+d x)^{-n}\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^3 i}+\frac{2 B^2 (b c-a d)^2 g^2 n \left(\log \left((a+b x)^n\right)-\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+\log \left((c+d x)^{-n}\right)\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^3 i}-\frac{2 B^2 (b c-a d)^2 g^2 n^2 \text{PolyLog}\left(3,-\frac{d (a+b x)}{b c-a d}\right)}{d^3 i}-\frac{2 B^2 (b c-a d)^2 g^2 n^2 \text{PolyLog}\left(3,\frac{b (c+d x)}{b c-a d}\right)}{d^3 i}","-\frac{2 B g^2 n (b c-a d)^2 \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{d^3 i}-\frac{4 B^2 g^2 n^2 (b c-a d)^2 \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{d^3 i}-\frac{B^2 g^2 n^2 (b c-a d)^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{d (a+b x)}\right)}{d^3 i}+\frac{2 B^2 g^2 n^2 (b c-a d)^2 \text{PolyLog}\left(3,\frac{d (a+b x)}{b (c+d x)}\right)}{d^3 i}+\frac{b^2 g^2 (c+d x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{2 d^3 i}-\frac{2 g^2 (a+b x) (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{d^2 i}-\frac{B g^2 n (a+b x) (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{d^2 i}-\frac{g^2 (b c-a d)^2 \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{d^3 i}-\frac{4 B g^2 n (b c-a d)^2 \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{d^3 i}+\frac{B g^2 n (b c-a d)^2 \log \left(1-\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{d^3 i}+\frac{B^2 g^2 n^2 (b c-a d)^2 \log (c+d x)}{d^3 i}",1,"-((A*b*B*(b*c - a*d)*g^2*n*x)/(d^2*i)) + (a*B^2*(b*c - a*d)*g^2*n^2*Log[a + b*x]^2)/(d^2*i) - (B^2*(b*c - a*d)*g^2*n*(a + b*x)*Log[e*((a + b*x)/(c + d*x))^n])/(d^2*i) - (2*a*B*(b*c - a*d)*g^2*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(d^2*i) - (b*(b*c - a*d)*g^2*x*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(d^2*i) + (g^2*(a + b*x)^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(2*d*i) + (B^2*(b*c - a*d)^2*g^2*n^2*Log[c + d*x])/(d^3*i) - (2*b*B^2*c*(b*c - a*d)*g^2*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^3*i) - (B^2*(b*c - a*d)^2*g^2*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^3*i) + (2*b*B*c*(b*c - a*d)*g^2*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/(d^3*i) + (B*(b*c - a*d)^2*g^2*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/(d^3*i) + (b*B^2*c*(b*c - a*d)*g^2*n^2*Log[c + d*x]^2)/(d^3*i) + (B^2*(b*c - a*d)^2*g^2*n^2*Log[c + d*x]^2)/(2*d^3*i) - (2*a*B^2*(b*c - a*d)*g^2*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(d^2*i) + (B^2*(b*c - a*d)^2*g^2*Log[(a + b*x)^n]^2*Log[(b*(c + d*x))/(b*c - a*d)])/(d^3*i) - (B^2*(b*c - a*d)^2*g^2*Log[(a + b*x)^n]^2*Log[i*(c + d*x)])/(d^3*i) + (A*B*(b*c - a*d)^2*g^2*n*Log[i*(c + d*x)]^2)/(d^3*i) - (B^2*(b*c - a*d)^2*g^2*n^2*Log[a + b*x]*Log[i*(c + d*x)]^2)/(d^3*i) + (B^2*(b*c - a*d)^2*g^2*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[i*(c + d*x)]^2)/(d^3*i) + (B^2*(b*c - a*d)^2*g^2*n^2*Log[i*(c + d*x)]^3)/(3*d^3*i) - (2*B^2*(b*c - a*d)^2*g^2*n*Log[a + b*x]*Log[i*(c + d*x)]*Log[(c + d*x)^(-n)])/(d^3*i) - (B^2*(b*c - a*d)^2*g^2*Log[a + b*x]*Log[(c + d*x)^(-n)]^2)/(d^3*i) + (B^2*(b*c - a*d)^2*g^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[(c + d*x)^(-n)]^2)/(d^3*i) - (2*A*B*(b*c - a*d)^2*g^2*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c*i + d*i*x])/(d^3*i) + ((b*c - a*d)^2*g^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2*Log[c*i + d*i*x])/(d^3*i) + (2*B^2*(b*c - a*d)^2*g^2*n*Log[-((d*(a + b*x))/(b*c - a*d))]*(Log[(a + b*x)^n] - Log[e*((a + b*x)/(c + d*x))^n] + Log[(c + d*x)^(-n)])*Log[c*i + d*i*x])/(d^3*i) - (B^2*(b*c - a*d)^2*g^2*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c*i + d*i*x]^2)/(d^3*i) + (B^2*(b*c - a*d)^2*g^2*n*Log[e*((a + b*x)/(c + d*x))^n]*Log[c*i + d*i*x]^2)/(d^3*i) - (2*a*B^2*(b*c - a*d)*g^2*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(d^2*i) + (2*B^2*(b*c - a*d)^2*g^2*n*Log[(a + b*x)^n]*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(d^3*i) - (2*A*B*(b*c - a*d)^2*g^2*n*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^3*i) - (2*b*B^2*c*(b*c - a*d)*g^2*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^3*i) - (B^2*(b*c - a*d)^2*g^2*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^3*i) - (2*B^2*(b*c - a*d)^2*g^2*n*Log[(c + d*x)^(-n)]*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^3*i) + (2*B^2*(b*c - a*d)^2*g^2*n*(Log[(a + b*x)^n] - Log[e*((a + b*x)/(c + d*x))^n] + Log[(c + d*x)^(-n)])*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^3*i) - (2*B^2*(b*c - a*d)^2*g^2*n^2*PolyLog[3, -((d*(a + b*x))/(b*c - a*d))])/(d^3*i) - (2*B^2*(b*c - a*d)^2*g^2*n^2*PolyLog[3, (b*(c + d*x))/(b*c - a*d)])/(d^3*i)","B",82,27,45,0.6000,1,"{2528, 2523, 12, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 2525, 2486, 31, 6688, 6742, 2499, 2396, 2433, 2374, 6589, 2302, 30, 2500, 2375, 2317, 2440, 2434}"
188,1,1156,0,4.0319298,"\int \frac{(a g+b g x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{c i+d i x} \, dx","Int[((a*g + b*g*x)*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(c*i + d*i*x),x]","-\frac{B^2 (b c-a d) g n^2 \log ^3(c+d x)}{3 d^2 i}-\frac{b B^2 c g n^2 \log ^2(c+d x)}{d^2 i}-\frac{A B (b c-a d) g n \log ^2(c+d x)}{d^2 i}+\frac{B^2 (b c-a d) g n^2 \log (a+b x) \log ^2(c+d x)}{d^2 i}-\frac{B^2 (b c-a d) g n \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right) \log ^2(c+d x)}{d^2 i}+\frac{B^2 (b c-a d) g \log ^2\left((a+b x)^n\right) \log (c+d x)}{d^2 i}-\frac{(b c-a d) g \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 \log (c+d x)}{d^2 i}+\frac{2 b B^2 c g n^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{d^2 i}+\frac{2 A B (b c-a d) g n \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{d^2 i}-\frac{2 b B c g n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \log (c+d x)}{d^2 i}+\frac{2 B^2 (b c-a d) g n \log (a+b x) \log \left((c+d x)^{-n}\right) \log (c+d x)}{d^2 i}-\frac{2 B^2 (b c-a d) g n \log \left(-\frac{d (a+b x)}{b c-a d}\right) \left(\log \left((a+b x)^n\right)-\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+\log \left((c+d x)^{-n}\right)\right) \log (c+d x)}{d^2 i}-\frac{a B^2 g n^2 \log ^2(a+b x)}{d i}+\frac{b g x \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{d i}+\frac{B^2 (b c-a d) g \log (a+b x) \log ^2\left((c+d x)^{-n}\right)}{d^2 i}-\frac{B^2 (b c-a d) g \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2\left((c+d x)^{-n}\right)}{d^2 i}+\frac{2 a B g n \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{d i}-\frac{B^2 (b c-a d) g \log ^2\left((a+b x)^n\right) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{d^2 i}+\frac{2 a B^2 g n^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{d i}+\frac{2 a B^2 g n^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{d i}-\frac{2 B^2 (b c-a d) g n \log \left((a+b x)^n\right) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{d^2 i}+\frac{2 b B^2 c g n^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^2 i}+\frac{2 A B (b c-a d) g n \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^2 i}+\frac{2 B^2 (b c-a d) g n \log \left((c+d x)^{-n}\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^2 i}-\frac{2 B^2 (b c-a d) g n \left(\log \left((a+b x)^n\right)-\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+\log \left((c+d x)^{-n}\right)\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^2 i}+\frac{2 B^2 (b c-a d) g n^2 \text{PolyLog}\left(3,-\frac{d (a+b x)}{b c-a d}\right)}{d^2 i}+\frac{2 B^2 (b c-a d) g n^2 \text{PolyLog}\left(3,\frac{b (c+d x)}{b c-a d}\right)}{d^2 i}","\frac{2 B g n (b c-a d) \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{d^2 i}+\frac{2 B^2 g n^2 (b c-a d) \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{d^2 i}-\frac{2 B^2 g n^2 (b c-a d) \text{PolyLog}\left(3,\frac{d (a+b x)}{b (c+d x)}\right)}{d^2 i}+\frac{2 B g n (b c-a d) \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{d^2 i}+\frac{g (b c-a d) \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{d^2 i}+\frac{g (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{d i}",1,"-((a*B^2*g*n^2*Log[a + b*x]^2)/(d*i)) + (2*a*B*g*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(d*i) + (b*g*x*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(d*i) + (2*A*B*(b*c - a*d)*g*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^2*i) + (2*b*B^2*c*g*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^2*i) + (B^2*(b*c - a*d)*g*Log[(a + b*x)^n]^2*Log[c + d*x])/(d^2*i) - (2*b*B*c*g*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/(d^2*i) - ((b*c - a*d)*g*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2*Log[c + d*x])/(d^2*i) - (A*B*(b*c - a*d)*g*n*Log[c + d*x]^2)/(d^2*i) - (b*B^2*c*g*n^2*Log[c + d*x]^2)/(d^2*i) + (B^2*(b*c - a*d)*g*n^2*Log[a + b*x]*Log[c + d*x]^2)/(d^2*i) - (B^2*(b*c - a*d)*g*n*Log[e*((a + b*x)/(c + d*x))^n]*Log[c + d*x]^2)/(d^2*i) - (B^2*(b*c - a*d)*g*n^2*Log[c + d*x]^3)/(3*d^2*i) + (2*a*B^2*g*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(d*i) - (B^2*(b*c - a*d)*g*Log[(a + b*x)^n]^2*Log[(b*(c + d*x))/(b*c - a*d)])/(d^2*i) + (2*B^2*(b*c - a*d)*g*n*Log[a + b*x]*Log[c + d*x]*Log[(c + d*x)^(-n)])/(d^2*i) + (B^2*(b*c - a*d)*g*Log[a + b*x]*Log[(c + d*x)^(-n)]^2)/(d^2*i) - (B^2*(b*c - a*d)*g*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[(c + d*x)^(-n)]^2)/(d^2*i) - (2*B^2*(b*c - a*d)*g*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x]*(Log[(a + b*x)^n] - Log[e*((a + b*x)/(c + d*x))^n] + Log[(c + d*x)^(-n)]))/(d^2*i) + (2*a*B^2*g*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(d*i) - (2*B^2*(b*c - a*d)*g*n*Log[(a + b*x)^n]*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(d^2*i) + (2*A*B*(b*c - a*d)*g*n*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^2*i) + (2*b*B^2*c*g*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^2*i) + (2*B^2*(b*c - a*d)*g*n*Log[(c + d*x)^(-n)]*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^2*i) - (2*B^2*(b*c - a*d)*g*n*(Log[(a + b*x)^n] - Log[e*((a + b*x)/(c + d*x))^n] + Log[(c + d*x)^(-n)])*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^2*i) + (2*B^2*(b*c - a*d)*g*n^2*PolyLog[3, -((d*(a + b*x))/(b*c - a*d))])/(d^2*i) + (2*B^2*(b*c - a*d)*g*n^2*PolyLog[3, (b*(c + d*x))/(b*c - a*d)])/(d^2*i)","B",65,24,43,0.5581,1,"{2528, 2523, 12, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 6688, 6742, 2500, 2433, 2375, 2317, 2374, 6589, 2440, 2434, 2499, 2396, 2302, 30}"
189,1,782,0,3.1720063,"\int \frac{\left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{c i+d i x} \, dx","Int[(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2/(c*i + d*i*x),x]","-\frac{2 A B n \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d i}+\frac{2 B^2 n \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) \left(-\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+\log \left((a+b x)^n\right)+\log \left((c+d x)^{-n}\right)\right)}{d i}-\frac{2 B^2 n^2 \text{PolyLog}\left(3,-\frac{d (a+b x)}{b c-a d}\right)}{d i}-\frac{2 B^2 n^2 \text{PolyLog}\left(3,\frac{b (c+d x)}{b c-a d}\right)}{d i}+\frac{2 B^2 n \log \left((a+b x)^n\right) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{d i}-\frac{2 B^2 n \log \left((c+d x)^{-n}\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d i}+\frac{\log (c i+d i x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{d i}-\frac{2 A B n \log (c i+d i x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{d i}+\frac{B^2 n \log ^2(c i+d i x) \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{d i}+\frac{2 B^2 n \log (c i+d i x) \log \left(-\frac{d (a+b x)}{b c-a d}\right) \left(-\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+\log \left((a+b x)^n\right)+\log \left((c+d x)^{-n}\right)\right)}{d i}-\frac{B^2 n^2 \log (a+b x) \log ^2(i (c+d x))}{d i}+\frac{B^2 n^2 \log ^2(i (c+d x)) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{d i}-\frac{B^2 n^2 \log ^2(c i+d i x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{d i}-\frac{B^2 \log ^2\left((a+b x)^n\right) \log (i (c+d x))}{d i}-\frac{B^2 \log (a+b x) \log ^2\left((c+d x)^{-n}\right)}{d i}+\frac{B^2 \log ^2\left((c+d x)^{-n}\right) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{d i}+\frac{B^2 \log ^2\left((a+b x)^n\right) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{d i}-\frac{2 B^2 n \log (a+b x) \log (i (c+d x)) \log \left((c+d x)^{-n}\right)}{d i}+\frac{A B n \log ^2(i (c+d x))}{d i}+\frac{B^2 n^2 \log ^3(i (c+d x))}{3 d i}","-\frac{2 B n \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{d i}+\frac{2 B^2 n^2 \text{PolyLog}\left(3,\frac{d (a+b x)}{b (c+d x)}\right)}{d i}-\frac{\log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{d i}",1,"(B^2*Log[(a + b*x)^n]^2*Log[(b*(c + d*x))/(b*c - a*d)])/(d*i) - (B^2*Log[(a + b*x)^n]^2*Log[i*(c + d*x)])/(d*i) + (A*B*n*Log[i*(c + d*x)]^2)/(d*i) - (B^2*n^2*Log[a + b*x]*Log[i*(c + d*x)]^2)/(d*i) + (B^2*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[i*(c + d*x)]^2)/(d*i) + (B^2*n^2*Log[i*(c + d*x)]^3)/(3*d*i) - (2*B^2*n*Log[a + b*x]*Log[i*(c + d*x)]*Log[(c + d*x)^(-n)])/(d*i) - (B^2*Log[a + b*x]*Log[(c + d*x)^(-n)]^2)/(d*i) + (B^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[(c + d*x)^(-n)]^2)/(d*i) - (2*A*B*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c*i + d*i*x])/(d*i) + ((A + B*Log[e*((a + b*x)/(c + d*x))^n])^2*Log[c*i + d*i*x])/(d*i) + (2*B^2*n*Log[-((d*(a + b*x))/(b*c - a*d))]*(Log[(a + b*x)^n] - Log[e*((a + b*x)/(c + d*x))^n] + Log[(c + d*x)^(-n)])*Log[c*i + d*i*x])/(d*i) - (B^2*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c*i + d*i*x]^2)/(d*i) + (B^2*n*Log[e*((a + b*x)/(c + d*x))^n]*Log[c*i + d*i*x]^2)/(d*i) + (2*B^2*n*Log[(a + b*x)^n]*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(d*i) - (2*A*B*n*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d*i) - (2*B^2*n*Log[(c + d*x)^(-n)]*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d*i) + (2*B^2*n*(Log[(a + b*x)^n] - Log[e*((a + b*x)/(c + d*x))^n] + Log[(c + d*x)^(-n)])*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d*i) - (2*B^2*n^2*PolyLog[3, -((d*(a + b*x))/(b*c - a*d))])/(d*i) - (2*B^2*n^2*PolyLog[3, (b*(c + d*x))/(b*c - a*d)])/(d*i)","B",45,23,35,0.6571,1,"{2524, 2528, 2418, 2390, 2301, 2394, 2393, 2391, 6688, 12, 6742, 2499, 2396, 2433, 2374, 6589, 2302, 30, 2500, 2375, 2317, 2440, 2434}"
190,1,1237,0,5.3223709,"\int \frac{\left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(a g+b g x) (c i+d i x)} \, dx","Int[(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2/((a*g + b*g*x)*(c*i + d*i*x)),x]","-\frac{B^2 n^2 \log ^3(c+d x)}{3 (b c-a d) g i}-\frac{A B n \log ^2(c+d x)}{(b c-a d) g i}+\frac{B^2 n^2 \log (a+b x) \log ^2(c+d x)}{(b c-a d) g i}-\frac{B^2 n \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right) \log ^2(c+d x)}{(b c-a d) g i}+\frac{B^2 \log ^2\left((a+b x)^n\right) \log (c+d x)}{(b c-a d) g i}-\frac{\left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 \log (c+d x)}{(b c-a d) g i}+\frac{2 A B n \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{(b c-a d) g i}+\frac{2 B^2 n \log (a+b x) \log \left((c+d x)^{-n}\right) \log (c+d x)}{(b c-a d) g i}-\frac{2 B^2 n \log \left(-\frac{d (a+b x)}{b c-a d}\right) \left(\log \left((a+b x)^n\right)-\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+\log \left((c+d x)^{-n}\right)\right) \log (c+d x)}{(b c-a d) g i}-\frac{A B n \log ^2(a+b x)}{(b c-a d) g i}-\frac{B^2 \log \left(-\frac{b c-a d}{d (a+b x)}\right) \log ^2\left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{(b c-a d) g i}-\frac{B^2 \log (a+b x) \log ^2\left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{(b c-a d) g i}+\frac{\log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(b c-a d) g i}+\frac{B^2 \log (a+b x) \log ^2\left((c+d x)^{-n}\right)}{(b c-a d) g i}-\frac{B^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2\left((c+d x)^{-n}\right)}{(b c-a d) g i}-\frac{B^2 \log ^2\left((a+b x)^n\right) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d) g i}+\frac{2 A B n \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d) g i}+\frac{2 A B n \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d) g i}-\frac{2 B^2 n \log \left((a+b x)^n\right) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d) g i}+\frac{2 A B n \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d) g i}+\frac{2 B^2 n \log \left((c+d x)^{-n}\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d) g i}-\frac{2 B^2 n \left(\log \left((a+b x)^n\right)-\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+\log \left((c+d x)^{-n}\right)\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d) g i}+\frac{2 B^2 n \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right) \text{PolyLog}\left(2,\frac{b c-a d}{d (a+b x)}+1\right)}{(b c-a d) g i}+\frac{2 B^2 n^2 \text{PolyLog}\left(3,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d) g i}+\frac{2 B^2 n^2 \text{PolyLog}\left(3,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d) g i}+\frac{2 B^2 n^2 \text{PolyLog}\left(3,\frac{b c-a d}{d (a+b x)}+1\right)}{(b c-a d) g i}","\frac{\left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^3}{3 B g i n (b c-a d)}",1,"-((A*B*n*Log[a + b*x]^2)/((b*c - a*d)*g*i)) - (B^2*Log[-((b*c - a*d)/(d*(a + b*x)))]*Log[e*((a + b*x)/(c + d*x))^n]^2)/((b*c - a*d)*g*i) - (B^2*Log[a + b*x]*Log[e*((a + b*x)/(c + d*x))^n]^2)/((b*c - a*d)*g*i) + (Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/((b*c - a*d)*g*i) + (2*A*B*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)*g*i) + (B^2*Log[(a + b*x)^n]^2*Log[c + d*x])/((b*c - a*d)*g*i) - ((A + B*Log[e*((a + b*x)/(c + d*x))^n])^2*Log[c + d*x])/((b*c - a*d)*g*i) - (A*B*n*Log[c + d*x]^2)/((b*c - a*d)*g*i) + (B^2*n^2*Log[a + b*x]*Log[c + d*x]^2)/((b*c - a*d)*g*i) - (B^2*n*Log[e*((a + b*x)/(c + d*x))^n]*Log[c + d*x]^2)/((b*c - a*d)*g*i) - (B^2*n^2*Log[c + d*x]^3)/(3*(b*c - a*d)*g*i) + (2*A*B*n*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)*g*i) - (B^2*Log[(a + b*x)^n]^2*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)*g*i) + (2*B^2*n*Log[a + b*x]*Log[c + d*x]*Log[(c + d*x)^(-n)])/((b*c - a*d)*g*i) + (B^2*Log[a + b*x]*Log[(c + d*x)^(-n)]^2)/((b*c - a*d)*g*i) - (B^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[(c + d*x)^(-n)]^2)/((b*c - a*d)*g*i) - (2*B^2*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x]*(Log[(a + b*x)^n] - Log[e*((a + b*x)/(c + d*x))^n] + Log[(c + d*x)^(-n)]))/((b*c - a*d)*g*i) + (2*A*B*n*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)*g*i) - (2*B^2*n*Log[(a + b*x)^n]*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)*g*i) + (2*A*B*n*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)*g*i) + (2*B^2*n*Log[(c + d*x)^(-n)]*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)*g*i) - (2*B^2*n*(Log[(a + b*x)^n] - Log[e*((a + b*x)/(c + d*x))^n] + Log[(c + d*x)^(-n)])*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)*g*i) + (2*B^2*n*Log[e*((a + b*x)/(c + d*x))^n]*PolyLog[2, 1 + (b*c - a*d)/(d*(a + b*x))])/((b*c - a*d)*g*i) + (2*B^2*n^2*PolyLog[3, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)*g*i) + (2*B^2*n^2*PolyLog[3, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)*g*i) + (2*B^2*n^2*PolyLog[3, 1 + (b*c - a*d)/(d*(a + b*x))])/((b*c - a*d)*g*i)","C",59,29,45,0.6444,1,"{2528, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 6688, 12, 6742, 2411, 2344, 2317, 2507, 2488, 2506, 6610, 2500, 2433, 2375, 2374, 6589, 2440, 2434, 2499, 2396, 2302, 30}"
191,1,1800,0,6.0880145,"\int \frac{\left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(a g+b g x)^2 (c i+d i x)} \, dx","Int[(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2/((a*g + b*g*x)^2*(c*i + d*i*x)),x]","\frac{B^2 d n^2 \log ^3(c+d x)}{3 (b c-a d)^2 g^2 i}+\frac{B^2 d n^2 \log ^2(c+d x)}{(b c-a d)^2 g^2 i}+\frac{A B d n \log ^2(c+d x)}{(b c-a d)^2 g^2 i}-\frac{B^2 d n^2 \log (a+b x) \log ^2(c+d x)}{(b c-a d)^2 g^2 i}+\frac{B^2 d n \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right) \log ^2(c+d x)}{(b c-a d)^2 g^2 i}+\frac{2 B^2 d n^2 \log (c+d x)}{(b c-a d)^2 g^2 i}-\frac{B^2 d \log ^2\left((a+b x)^n\right) \log (c+d x)}{(b c-a d)^2 g^2 i}+\frac{d \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 \log (c+d x)}{(b c-a d)^2 g^2 i}-\frac{2 B^2 d n^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{(b c-a d)^2 g^2 i}-\frac{2 A B d n \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{(b c-a d)^2 g^2 i}+\frac{2 B d n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \log (c+d x)}{(b c-a d)^2 g^2 i}-\frac{2 B^2 d n \log (a+b x) \log \left((c+d x)^{-n}\right) \log (c+d x)}{(b c-a d)^2 g^2 i}+\frac{2 B^2 d n \log \left(-\frac{d (a+b x)}{b c-a d}\right) \left(\log \left((a+b x)^n\right)-\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+\log \left((c+d x)^{-n}\right)\right) \log (c+d x)}{(b c-a d)^2 g^2 i}+\frac{B^2 d n^2 \log ^2(a+b x)}{(b c-a d)^2 g^2 i}+\frac{A B d n \log ^2(a+b x)}{(b c-a d)^2 g^2 i}+\frac{B^2 d \log \left(-\frac{b c-a d}{d (a+b x)}\right) \log ^2\left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{(b c-a d)^2 g^2 i}+\frac{B^2 d \log (a+b x) \log ^2\left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{(b c-a d)^2 g^2 i}-\frac{d \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(b c-a d)^2 g^2 i}-\frac{\left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(b c-a d) g^2 i (a+b x)}-\frac{B^2 d \log (a+b x) \log ^2\left((c+d x)^{-n}\right)}{(b c-a d)^2 g^2 i}+\frac{B^2 d \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2\left((c+d x)^{-n}\right)}{(b c-a d)^2 g^2 i}-\frac{2 B^2 d n^2 \log (a+b x)}{(b c-a d)^2 g^2 i}-\frac{2 B d n \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{(b c-a d)^2 g^2 i}-\frac{2 B n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{(b c-a d) g^2 i (a+b x)}+\frac{B^2 d \log ^2\left((a+b x)^n\right) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^2 g^2 i}-\frac{2 B^2 d n^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^2 g^2 i}-\frac{2 A B d n \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^2 g^2 i}-\frac{2 B^2 d n^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^2 g^2 i}-\frac{2 A B d n \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^2 g^2 i}+\frac{2 B^2 d n \log \left((a+b x)^n\right) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^2 g^2 i}-\frac{2 B^2 d n^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^2 g^2 i}-\frac{2 A B d n \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^2 g^2 i}-\frac{2 B^2 d n \log \left((c+d x)^{-n}\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^2 g^2 i}+\frac{2 B^2 d n \left(\log \left((a+b x)^n\right)-\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+\log \left((c+d x)^{-n}\right)\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^2 g^2 i}-\frac{2 B^2 d n \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right) \text{PolyLog}\left(2,\frac{b c-a d}{d (a+b x)}+1\right)}{(b c-a d)^2 g^2 i}-\frac{2 B^2 d n^2 \text{PolyLog}\left(3,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^2 g^2 i}-\frac{2 B^2 d n^2 \text{PolyLog}\left(3,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^2 g^2 i}-\frac{2 B^2 d n^2 \text{PolyLog}\left(3,\frac{b c-a d}{d (a+b x)}+1\right)}{(b c-a d)^2 g^2 i}-\frac{2 B^2 n^2}{(b c-a d) g^2 i (a+b x)}","-\frac{d \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^3}{3 B g^2 i n (b c-a d)^2}-\frac{b (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{g^2 i (a+b x) (b c-a d)^2}-\frac{2 b B n (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^2 i (a+b x) (b c-a d)^2}-\frac{2 b B^2 n^2 (c+d x)}{g^2 i (a+b x) (b c-a d)^2}",1,"(-2*B^2*n^2)/((b*c - a*d)*g^2*i*(a + b*x)) - (2*B^2*d*n^2*Log[a + b*x])/((b*c - a*d)^2*g^2*i) + (A*B*d*n*Log[a + b*x]^2)/((b*c - a*d)^2*g^2*i) + (B^2*d*n^2*Log[a + b*x]^2)/((b*c - a*d)^2*g^2*i) + (B^2*d*Log[-((b*c - a*d)/(d*(a + b*x)))]*Log[e*((a + b*x)/(c + d*x))^n]^2)/((b*c - a*d)^2*g^2*i) + (B^2*d*Log[a + b*x]*Log[e*((a + b*x)/(c + d*x))^n]^2)/((b*c - a*d)^2*g^2*i) - (2*B*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/((b*c - a*d)*g^2*i*(a + b*x)) - (2*B*d*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/((b*c - a*d)^2*g^2*i) - (A + B*Log[e*((a + b*x)/(c + d*x))^n])^2/((b*c - a*d)*g^2*i*(a + b*x)) - (d*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/((b*c - a*d)^2*g^2*i) + (2*B^2*d*n^2*Log[c + d*x])/((b*c - a*d)^2*g^2*i) - (2*A*B*d*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^2*g^2*i) - (2*B^2*d*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^2*g^2*i) - (B^2*d*Log[(a + b*x)^n]^2*Log[c + d*x])/((b*c - a*d)^2*g^2*i) + (2*B*d*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/((b*c - a*d)^2*g^2*i) + (d*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2*Log[c + d*x])/((b*c - a*d)^2*g^2*i) + (A*B*d*n*Log[c + d*x]^2)/((b*c - a*d)^2*g^2*i) + (B^2*d*n^2*Log[c + d*x]^2)/((b*c - a*d)^2*g^2*i) - (B^2*d*n^2*Log[a + b*x]*Log[c + d*x]^2)/((b*c - a*d)^2*g^2*i) + (B^2*d*n*Log[e*((a + b*x)/(c + d*x))^n]*Log[c + d*x]^2)/((b*c - a*d)^2*g^2*i) + (B^2*d*n^2*Log[c + d*x]^3)/(3*(b*c - a*d)^2*g^2*i) - (2*A*B*d*n*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^2*g^2*i) - (2*B^2*d*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^2*g^2*i) + (B^2*d*Log[(a + b*x)^n]^2*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^2*g^2*i) - (2*B^2*d*n*Log[a + b*x]*Log[c + d*x]*Log[(c + d*x)^(-n)])/((b*c - a*d)^2*g^2*i) - (B^2*d*Log[a + b*x]*Log[(c + d*x)^(-n)]^2)/((b*c - a*d)^2*g^2*i) + (B^2*d*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[(c + d*x)^(-n)]^2)/((b*c - a*d)^2*g^2*i) + (2*B^2*d*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x]*(Log[(a + b*x)^n] - Log[e*((a + b*x)/(c + d*x))^n] + Log[(c + d*x)^(-n)]))/((b*c - a*d)^2*g^2*i) - (2*A*B*d*n*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^2*g^2*i) - (2*B^2*d*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^2*g^2*i) + (2*B^2*d*n*Log[(a + b*x)^n]*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^2*g^2*i) - (2*A*B*d*n*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^2*g^2*i) - (2*B^2*d*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^2*g^2*i) - (2*B^2*d*n*Log[(c + d*x)^(-n)]*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^2*g^2*i) + (2*B^2*d*n*(Log[(a + b*x)^n] - Log[e*((a + b*x)/(c + d*x))^n] + Log[(c + d*x)^(-n)])*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^2*g^2*i) - (2*B^2*d*n*Log[e*((a + b*x)/(c + d*x))^n]*PolyLog[2, 1 + (b*c - a*d)/(d*(a + b*x))])/((b*c - a*d)^2*g^2*i) - (2*B^2*d*n^2*PolyLog[3, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^2*g^2*i) - (2*B^2*d*n^2*PolyLog[3, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^2*g^2*i) - (2*B^2*d*n^2*PolyLog[3, 1 + (b*c - a*d)/(d*(a + b*x))])/((b*c - a*d)^2*g^2*i)","C",83,31,45,0.6889,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 6688, 6742, 2411, 2344, 2317, 2507, 2488, 2506, 6610, 2500, 2433, 2375, 2374, 6589, 2440, 2434, 2499, 2396, 2302, 30}"
192,1,2025,0,7.1972766,"\int \frac{\left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(a g+b g x)^3 (c i+d i x)} \, dx","Int[(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2/((a*g + b*g*x)^3*(c*i + d*i*x)),x]","-\frac{B^2 d^2 n^2 \log ^3(c+d x)}{3 (b c-a d)^3 g^3 i}-\frac{3 B^2 d^2 n^2 \log ^2(c+d x)}{2 (b c-a d)^3 g^3 i}-\frac{A B d^2 n \log ^2(c+d x)}{(b c-a d)^3 g^3 i}+\frac{B^2 d^2 n^2 \log (a+b x) \log ^2(c+d x)}{(b c-a d)^3 g^3 i}-\frac{B^2 d^2 n \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right) \log ^2(c+d x)}{(b c-a d)^3 g^3 i}-\frac{7 B^2 d^2 n^2 \log (c+d x)}{2 (b c-a d)^3 g^3 i}+\frac{B^2 d^2 \log ^2\left((a+b x)^n\right) \log (c+d x)}{(b c-a d)^3 g^3 i}-\frac{d^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 \log (c+d x)}{(b c-a d)^3 g^3 i}+\frac{3 B^2 d^2 n^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{(b c-a d)^3 g^3 i}+\frac{2 A B d^2 n \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{(b c-a d)^3 g^3 i}-\frac{3 B d^2 n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \log (c+d x)}{(b c-a d)^3 g^3 i}+\frac{2 B^2 d^2 n \log (a+b x) \log \left((c+d x)^{-n}\right) \log (c+d x)}{(b c-a d)^3 g^3 i}-\frac{2 B^2 d^2 n \log \left(-\frac{d (a+b x)}{b c-a d}\right) \left(\log \left((a+b x)^n\right)-\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+\log \left((c+d x)^{-n}\right)\right) \log (c+d x)}{(b c-a d)^3 g^3 i}-\frac{3 B^2 d^2 n^2 \log ^2(a+b x)}{2 (b c-a d)^3 g^3 i}-\frac{A B d^2 n \log ^2(a+b x)}{(b c-a d)^3 g^3 i}-\frac{B^2 d^2 \log \left(-\frac{b c-a d}{d (a+b x)}\right) \log ^2\left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{(b c-a d)^3 g^3 i}-\frac{B^2 d^2 \log (a+b x) \log ^2\left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{(b c-a d)^3 g^3 i}+\frac{d^2 \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(b c-a d)^3 g^3 i}+\frac{d \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(b c-a d)^2 g^3 i (a+b x)}-\frac{\left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{2 (b c-a d) g^3 i (a+b x)^2}+\frac{B^2 d^2 \log (a+b x) \log ^2\left((c+d x)^{-n}\right)}{(b c-a d)^3 g^3 i}-\frac{B^2 d^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2\left((c+d x)^{-n}\right)}{(b c-a d)^3 g^3 i}+\frac{7 B^2 d^2 n^2 \log (a+b x)}{2 (b c-a d)^3 g^3 i}+\frac{3 B d^2 n \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{(b c-a d)^3 g^3 i}+\frac{3 B d n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{(b c-a d)^2 g^3 i (a+b x)}-\frac{B n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{2 (b c-a d) g^3 i (a+b x)^2}-\frac{B^2 d^2 \log ^2\left((a+b x)^n\right) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^3 g^3 i}+\frac{3 B^2 d^2 n^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^3 g^3 i}+\frac{2 A B d^2 n \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^3 g^3 i}+\frac{3 B^2 d^2 n^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^3 g^3 i}+\frac{2 A B d^2 n \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^3 g^3 i}-\frac{2 B^2 d^2 n \log \left((a+b x)^n\right) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^3 g^3 i}+\frac{3 B^2 d^2 n^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^3 g^3 i}+\frac{2 A B d^2 n \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^3 g^3 i}+\frac{2 B^2 d^2 n \log \left((c+d x)^{-n}\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^3 g^3 i}-\frac{2 B^2 d^2 n \left(\log \left((a+b x)^n\right)-\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+\log \left((c+d x)^{-n}\right)\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^3 g^3 i}+\frac{2 B^2 d^2 n \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right) \text{PolyLog}\left(2,\frac{b c-a d}{d (a+b x)}+1\right)}{(b c-a d)^3 g^3 i}+\frac{2 B^2 d^2 n^2 \text{PolyLog}\left(3,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^3 g^3 i}+\frac{2 B^2 d^2 n^2 \text{PolyLog}\left(3,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^3 g^3 i}+\frac{2 B^2 d^2 n^2 \text{PolyLog}\left(3,\frac{b c-a d}{d (a+b x)}+1\right)}{(b c-a d)^3 g^3 i}+\frac{7 B^2 d n^2}{2 (b c-a d)^2 g^3 i (a+b x)}-\frac{B^2 n^2}{4 (b c-a d) g^3 i (a+b x)^2}","-\frac{b^2 (c+d x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{2 g^3 i (a+b x)^2 (b c-a d)^3}-\frac{b^2 B n (c+d x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 g^3 i (a+b x)^2 (b c-a d)^3}+\frac{d^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^3}{3 B g^3 i n (b c-a d)^3}+\frac{2 b d (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{g^3 i (a+b x) (b c-a d)^3}+\frac{4 b B d n (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^3 i (a+b x) (b c-a d)^3}-\frac{b^2 B^2 n^2 (c+d x)^2}{4 g^3 i (a+b x)^2 (b c-a d)^3}+\frac{4 b B^2 d n^2 (c+d x)}{g^3 i (a+b x) (b c-a d)^3}",1,"-(B^2*n^2)/(4*(b*c - a*d)*g^3*i*(a + b*x)^2) + (7*B^2*d*n^2)/(2*(b*c - a*d)^2*g^3*i*(a + b*x)) + (7*B^2*d^2*n^2*Log[a + b*x])/(2*(b*c - a*d)^3*g^3*i) - (A*B*d^2*n*Log[a + b*x]^2)/((b*c - a*d)^3*g^3*i) - (3*B^2*d^2*n^2*Log[a + b*x]^2)/(2*(b*c - a*d)^3*g^3*i) - (B^2*d^2*Log[-((b*c - a*d)/(d*(a + b*x)))]*Log[e*((a + b*x)/(c + d*x))^n]^2)/((b*c - a*d)^3*g^3*i) - (B^2*d^2*Log[a + b*x]*Log[e*((a + b*x)/(c + d*x))^n]^2)/((b*c - a*d)^3*g^3*i) - (B*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(2*(b*c - a*d)*g^3*i*(a + b*x)^2) + (3*B*d*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/((b*c - a*d)^2*g^3*i*(a + b*x)) + (3*B*d^2*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/((b*c - a*d)^3*g^3*i) - (A + B*Log[e*((a + b*x)/(c + d*x))^n])^2/(2*(b*c - a*d)*g^3*i*(a + b*x)^2) + (d*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/((b*c - a*d)^2*g^3*i*(a + b*x)) + (d^2*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/((b*c - a*d)^3*g^3*i) - (7*B^2*d^2*n^2*Log[c + d*x])/(2*(b*c - a*d)^3*g^3*i) + (2*A*B*d^2*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^3*g^3*i) + (3*B^2*d^2*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^3*g^3*i) + (B^2*d^2*Log[(a + b*x)^n]^2*Log[c + d*x])/((b*c - a*d)^3*g^3*i) - (3*B*d^2*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/((b*c - a*d)^3*g^3*i) - (d^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2*Log[c + d*x])/((b*c - a*d)^3*g^3*i) - (A*B*d^2*n*Log[c + d*x]^2)/((b*c - a*d)^3*g^3*i) - (3*B^2*d^2*n^2*Log[c + d*x]^2)/(2*(b*c - a*d)^3*g^3*i) + (B^2*d^2*n^2*Log[a + b*x]*Log[c + d*x]^2)/((b*c - a*d)^3*g^3*i) - (B^2*d^2*n*Log[e*((a + b*x)/(c + d*x))^n]*Log[c + d*x]^2)/((b*c - a*d)^3*g^3*i) - (B^2*d^2*n^2*Log[c + d*x]^3)/(3*(b*c - a*d)^3*g^3*i) + (2*A*B*d^2*n*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g^3*i) + (3*B^2*d^2*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g^3*i) - (B^2*d^2*Log[(a + b*x)^n]^2*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g^3*i) + (2*B^2*d^2*n*Log[a + b*x]*Log[c + d*x]*Log[(c + d*x)^(-n)])/((b*c - a*d)^3*g^3*i) + (B^2*d^2*Log[a + b*x]*Log[(c + d*x)^(-n)]^2)/((b*c - a*d)^3*g^3*i) - (B^2*d^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[(c + d*x)^(-n)]^2)/((b*c - a*d)^3*g^3*i) - (2*B^2*d^2*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x]*(Log[(a + b*x)^n] - Log[e*((a + b*x)/(c + d*x))^n] + Log[(c + d*x)^(-n)]))/((b*c - a*d)^3*g^3*i) + (2*A*B*d^2*n*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^3*g^3*i) + (3*B^2*d^2*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^3*g^3*i) - (2*B^2*d^2*n*Log[(a + b*x)^n]*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^3*g^3*i) + (2*A*B*d^2*n*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g^3*i) + (3*B^2*d^2*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g^3*i) + (2*B^2*d^2*n*Log[(c + d*x)^(-n)]*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g^3*i) - (2*B^2*d^2*n*(Log[(a + b*x)^n] - Log[e*((a + b*x)/(c + d*x))^n] + Log[(c + d*x)^(-n)])*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g^3*i) + (2*B^2*d^2*n*Log[e*((a + b*x)/(c + d*x))^n]*PolyLog[2, 1 + (b*c - a*d)/(d*(a + b*x))])/((b*c - a*d)^3*g^3*i) + (2*B^2*d^2*n^2*PolyLog[3, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^3*g^3*i) + (2*B^2*d^2*n^2*PolyLog[3, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g^3*i) + (2*B^2*d^2*n^2*PolyLog[3, 1 + (b*c - a*d)/(d*(a + b*x))])/((b*c - a*d)^3*g^3*i)","C",111,31,45,0.6889,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 6688, 6742, 2411, 2344, 2317, 2507, 2488, 2506, 6610, 2500, 2433, 2375, 2374, 6589, 2440, 2434, 2499, 2396, 2302, 30}"
193,1,2180,0,8.3537481,"\int \frac{\left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(a g+b g x)^4 (c i+d i x)} \, dx","Int[(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2/((a*g + b*g*x)^4*(c*i + d*i*x)),x]","\frac{B^2 n^2 \log ^3(c+d x) d^3}{3 (b c-a d)^4 g^4 i}+\frac{11 B^2 n^2 \log ^2(a+b x) d^3}{6 (b c-a d)^4 g^4 i}+\frac{A B n \log ^2(a+b x) d^3}{(b c-a d)^4 g^4 i}+\frac{B^2 \log \left(-\frac{b c-a d}{d (a+b x)}\right) \log ^2\left(e \left(\frac{a+b x}{c+d x}\right)^n\right) d^3}{(b c-a d)^4 g^4 i}+\frac{B^2 \log (a+b x) \log ^2\left(e \left(\frac{a+b x}{c+d x}\right)^n\right) d^3}{(b c-a d)^4 g^4 i}-\frac{\log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 d^3}{(b c-a d)^4 g^4 i}+\frac{11 B^2 n^2 \log ^2(c+d x) d^3}{6 (b c-a d)^4 g^4 i}+\frac{A B n \log ^2(c+d x) d^3}{(b c-a d)^4 g^4 i}-\frac{B^2 n^2 \log (a+b x) \log ^2(c+d x) d^3}{(b c-a d)^4 g^4 i}+\frac{B^2 n \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right) \log ^2(c+d x) d^3}{(b c-a d)^4 g^4 i}-\frac{B^2 \log (a+b x) \log ^2\left((c+d x)^{-n}\right) d^3}{(b c-a d)^4 g^4 i}+\frac{B^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2\left((c+d x)^{-n}\right) d^3}{(b c-a d)^4 g^4 i}-\frac{85 B^2 n^2 \log (a+b x) d^3}{18 (b c-a d)^4 g^4 i}-\frac{11 B n \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) d^3}{3 (b c-a d)^4 g^4 i}+\frac{85 B^2 n^2 \log (c+d x) d^3}{18 (b c-a d)^4 g^4 i}-\frac{B^2 \log ^2\left((a+b x)^n\right) \log (c+d x) d^3}{(b c-a d)^4 g^4 i}+\frac{\left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 \log (c+d x) d^3}{(b c-a d)^4 g^4 i}-\frac{11 B^2 n^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) d^3}{3 (b c-a d)^4 g^4 i}-\frac{2 A B n \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) d^3}{(b c-a d)^4 g^4 i}+\frac{11 B n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \log (c+d x) d^3}{3 (b c-a d)^4 g^4 i}+\frac{B^2 \log ^2\left((a+b x)^n\right) \log \left(\frac{b (c+d x)}{b c-a d}\right) d^3}{(b c-a d)^4 g^4 i}-\frac{11 B^2 n^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) d^3}{3 (b c-a d)^4 g^4 i}-\frac{2 A B n \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) d^3}{(b c-a d)^4 g^4 i}-\frac{2 B^2 n \log (a+b x) \log (c+d x) \log \left((c+d x)^{-n}\right) d^3}{(b c-a d)^4 g^4 i}+\frac{2 B^2 n \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) \left(\log \left((a+b x)^n\right)-\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+\log \left((c+d x)^{-n}\right)\right) d^3}{(b c-a d)^4 g^4 i}-\frac{11 B^2 n^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) d^3}{3 (b c-a d)^4 g^4 i}-\frac{2 A B n \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) d^3}{(b c-a d)^4 g^4 i}+\frac{2 B^2 n \log \left((a+b x)^n\right) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) d^3}{(b c-a d)^4 g^4 i}-\frac{11 B^2 n^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) d^3}{3 (b c-a d)^4 g^4 i}-\frac{2 A B n \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) d^3}{(b c-a d)^4 g^4 i}-\frac{2 B^2 n \log \left((c+d x)^{-n}\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) d^3}{(b c-a d)^4 g^4 i}+\frac{2 B^2 n \left(\log \left((a+b x)^n\right)-\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+\log \left((c+d x)^{-n}\right)\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) d^3}{(b c-a d)^4 g^4 i}-\frac{2 B^2 n \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right) \text{PolyLog}\left(2,\frac{b c-a d}{d (a+b x)}+1\right) d^3}{(b c-a d)^4 g^4 i}-\frac{2 B^2 n^2 \text{PolyLog}\left(3,-\frac{d (a+b x)}{b c-a d}\right) d^3}{(b c-a d)^4 g^4 i}-\frac{2 B^2 n^2 \text{PolyLog}\left(3,\frac{b (c+d x)}{b c-a d}\right) d^3}{(b c-a d)^4 g^4 i}-\frac{2 B^2 n^2 \text{PolyLog}\left(3,\frac{b c-a d}{d (a+b x)}+1\right) d^3}{(b c-a d)^4 g^4 i}-\frac{\left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 d^2}{(b c-a d)^3 g^4 i (a+b x)}-\frac{11 B n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) d^2}{3 (b c-a d)^3 g^4 i (a+b x)}-\frac{85 B^2 n^2 d^2}{18 (b c-a d)^3 g^4 i (a+b x)}+\frac{\left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 d}{2 (b c-a d)^2 g^4 i (a+b x)^2}+\frac{5 B n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) d}{6 (b c-a d)^2 g^4 i (a+b x)^2}+\frac{19 B^2 n^2 d}{36 (b c-a d)^2 g^4 i (a+b x)^2}-\frac{\left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{3 (b c-a d) g^4 i (a+b x)^3}-\frac{2 B n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{9 (b c-a d) g^4 i (a+b x)^3}-\frac{2 B^2 n^2}{27 (b c-a d) g^4 i (a+b x)^3}","-\frac{b^3 (c+d x)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{3 g^4 i (a+b x)^3 (b c-a d)^4}-\frac{2 b^3 B n (c+d x)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{9 g^4 i (a+b x)^3 (b c-a d)^4}+\frac{3 b^2 d (c+d x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{2 g^4 i (a+b x)^2 (b c-a d)^4}+\frac{3 b^2 B d n (c+d x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 g^4 i (a+b x)^2 (b c-a d)^4}-\frac{3 b d^2 (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{g^4 i (a+b x) (b c-a d)^4}-\frac{6 b B d^2 n (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^4 i (a+b x) (b c-a d)^4}-\frac{d^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^3}{3 B g^4 i n (b c-a d)^4}-\frac{2 b^3 B^2 n^2 (c+d x)^3}{27 g^4 i (a+b x)^3 (b c-a d)^4}+\frac{3 b^2 B^2 d n^2 (c+d x)^2}{4 g^4 i (a+b x)^2 (b c-a d)^4}-\frac{6 b B^2 d^2 n^2 (c+d x)}{g^4 i (a+b x) (b c-a d)^4}",1,"(-2*B^2*n^2)/(27*(b*c - a*d)*g^4*i*(a + b*x)^3) + (19*B^2*d*n^2)/(36*(b*c - a*d)^2*g^4*i*(a + b*x)^2) - (85*B^2*d^2*n^2)/(18*(b*c - a*d)^3*g^4*i*(a + b*x)) - (85*B^2*d^3*n^2*Log[a + b*x])/(18*(b*c - a*d)^4*g^4*i) + (A*B*d^3*n*Log[a + b*x]^2)/((b*c - a*d)^4*g^4*i) + (11*B^2*d^3*n^2*Log[a + b*x]^2)/(6*(b*c - a*d)^4*g^4*i) + (B^2*d^3*Log[-((b*c - a*d)/(d*(a + b*x)))]*Log[e*((a + b*x)/(c + d*x))^n]^2)/((b*c - a*d)^4*g^4*i) + (B^2*d^3*Log[a + b*x]*Log[e*((a + b*x)/(c + d*x))^n]^2)/((b*c - a*d)^4*g^4*i) - (2*B*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(9*(b*c - a*d)*g^4*i*(a + b*x)^3) + (5*B*d*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(6*(b*c - a*d)^2*g^4*i*(a + b*x)^2) - (11*B*d^2*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(3*(b*c - a*d)^3*g^4*i*(a + b*x)) - (11*B*d^3*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(3*(b*c - a*d)^4*g^4*i) - (A + B*Log[e*((a + b*x)/(c + d*x))^n])^2/(3*(b*c - a*d)*g^4*i*(a + b*x)^3) + (d*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(2*(b*c - a*d)^2*g^4*i*(a + b*x)^2) - (d^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/((b*c - a*d)^3*g^4*i*(a + b*x)) - (d^3*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/((b*c - a*d)^4*g^4*i) + (85*B^2*d^3*n^2*Log[c + d*x])/(18*(b*c - a*d)^4*g^4*i) - (2*A*B*d^3*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^4*g^4*i) - (11*B^2*d^3*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(3*(b*c - a*d)^4*g^4*i) - (B^2*d^3*Log[(a + b*x)^n]^2*Log[c + d*x])/((b*c - a*d)^4*g^4*i) + (11*B*d^3*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/(3*(b*c - a*d)^4*g^4*i) + (d^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2*Log[c + d*x])/((b*c - a*d)^4*g^4*i) + (A*B*d^3*n*Log[c + d*x]^2)/((b*c - a*d)^4*g^4*i) + (11*B^2*d^3*n^2*Log[c + d*x]^2)/(6*(b*c - a*d)^4*g^4*i) - (B^2*d^3*n^2*Log[a + b*x]*Log[c + d*x]^2)/((b*c - a*d)^4*g^4*i) + (B^2*d^3*n*Log[e*((a + b*x)/(c + d*x))^n]*Log[c + d*x]^2)/((b*c - a*d)^4*g^4*i) + (B^2*d^3*n^2*Log[c + d*x]^3)/(3*(b*c - a*d)^4*g^4*i) - (2*A*B*d^3*n*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^4*i) - (11*B^2*d^3*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(3*(b*c - a*d)^4*g^4*i) + (B^2*d^3*Log[(a + b*x)^n]^2*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^4*i) - (2*B^2*d^3*n*Log[a + b*x]*Log[c + d*x]*Log[(c + d*x)^(-n)])/((b*c - a*d)^4*g^4*i) - (B^2*d^3*Log[a + b*x]*Log[(c + d*x)^(-n)]^2)/((b*c - a*d)^4*g^4*i) + (B^2*d^3*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[(c + d*x)^(-n)]^2)/((b*c - a*d)^4*g^4*i) + (2*B^2*d^3*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x]*(Log[(a + b*x)^n] - Log[e*((a + b*x)/(c + d*x))^n] + Log[(c + d*x)^(-n)]))/((b*c - a*d)^4*g^4*i) - (2*A*B*d^3*n*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^4*g^4*i) - (11*B^2*d^3*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(3*(b*c - a*d)^4*g^4*i) + (2*B^2*d^3*n*Log[(a + b*x)^n]*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^4*g^4*i) - (2*A*B*d^3*n*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^4*i) - (11*B^2*d^3*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(3*(b*c - a*d)^4*g^4*i) - (2*B^2*d^3*n*Log[(c + d*x)^(-n)]*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^4*i) + (2*B^2*d^3*n*(Log[(a + b*x)^n] - Log[e*((a + b*x)/(c + d*x))^n] + Log[(c + d*x)^(-n)])*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^4*i) - (2*B^2*d^3*n*Log[e*((a + b*x)/(c + d*x))^n]*PolyLog[2, 1 + (b*c - a*d)/(d*(a + b*x))])/((b*c - a*d)^4*g^4*i) - (2*B^2*d^3*n^2*PolyLog[3, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^4*g^4*i) - (2*B^2*d^3*n^2*PolyLog[3, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^4*i) - (2*B^2*d^3*n^2*PolyLog[3, 1 + (b*c - a*d)/(d*(a + b*x))])/((b*c - a*d)^4*g^4*i)","C",143,31,45,0.6889,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 6688, 6742, 2411, 2344, 2317, 2507, 2488, 2506, 6610, 2500, 2433, 2375, 2374, 6589, 2440, 2434, 2499, 2396, 2302, 30}"
194,1,2384,0,6.014856,"\int \frac{(a g+b g x)^3 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(c i+d i x)^2} \, dx","Int[((a*g + b*g*x)^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(c*i + d*i*x)^2,x]","\frac{b B^2 (b c-a d)^2 n^2 \log ^3(c+d x) g^3}{d^4 i^2}+\frac{b B^2 (b c-a d)^2 n^2 \log ^2(a+b x) g^3}{d^4 i^2}+\frac{a b B^2 (2 b c-3 a d) n^2 \log ^2(a+b x) g^3}{d^3 i^2}+\frac{a^2 b B^2 n^2 \log ^2(a+b x) g^3}{2 d^2 i^2}+\frac{b^3 x^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 g^3}{2 d^2 i^2}-\frac{b^2 (2 b c-3 a d) x \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 g^3}{d^3 i^2}+\frac{(b c-a d)^3 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 g^3}{d^4 i^2 (c+d x)}+\frac{b B^2 (b c-a d)^2 n^2 \log ^2(c+d x) g^3}{d^4 i^2}+\frac{b^2 B^2 c (2 b c-3 a d) n^2 \log ^2(c+d x) g^3}{d^4 i^2}+\frac{b^3 B^2 c^2 n^2 \log ^2(c+d x) g^3}{2 d^4 i^2}+\frac{3 A b B (b c-a d)^2 n \log ^2(c+d x) g^3}{d^4 i^2}-\frac{3 b B^2 (b c-a d)^2 n^2 \log (a+b x) \log ^2(c+d x) g^3}{d^4 i^2}+\frac{3 b B^2 (b c-a d)^2 n \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right) \log ^2(c+d x) g^3}{d^4 i^2}-\frac{3 b B^2 (b c-a d)^2 \log (a+b x) \log ^2\left((c+d x)^{-n}\right) g^3}{d^4 i^2}+\frac{3 b B^2 (b c-a d)^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2\left((c+d x)^{-n}\right) g^3}{d^4 i^2}-\frac{A b^2 B (b c-a d) n x g^3}{d^3 i^2}+\frac{2 b B^2 (b c-a d)^2 n^2 \log (a+b x) g^3}{d^4 i^2}-\frac{b B^2 (b c-a d) n (a+b x) \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right) g^3}{d^3 i^2}-\frac{2 b B (b c-a d)^2 n \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) g^3}{d^4 i^2}-\frac{2 a b B (2 b c-3 a d) n \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) g^3}{d^3 i^2}-\frac{a^2 b B n \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) g^3}{d^2 i^2}-\frac{2 B (b c-a d)^3 n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) g^3}{d^4 i^2 (c+d x)}-\frac{b B^2 (b c-a d)^2 n^2 \log (c+d x) g^3}{d^4 i^2}-\frac{3 b B^2 (b c-a d)^2 \log ^2\left((a+b x)^n\right) \log (c+d x) g^3}{d^4 i^2}+\frac{3 b (b c-a d)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 \log (c+d x) g^3}{d^4 i^2}-\frac{2 b B^2 (b c-a d)^2 n^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) g^3}{d^4 i^2}-\frac{2 b^2 B^2 c (2 b c-3 a d) n^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) g^3}{d^4 i^2}-\frac{b^3 B^2 c^2 n^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) g^3}{d^4 i^2}-\frac{6 A b B (b c-a d)^2 n \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) g^3}{d^4 i^2}+\frac{2 b B (b c-a d)^2 n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \log (c+d x) g^3}{d^4 i^2}+\frac{2 b^2 B c (2 b c-3 a d) n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \log (c+d x) g^3}{d^4 i^2}+\frac{b^3 B c^2 n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \log (c+d x) g^3}{d^4 i^2}+\frac{3 b B^2 (b c-a d)^2 \log ^2\left((a+b x)^n\right) \log \left(\frac{b (c+d x)}{b c-a d}\right) g^3}{d^4 i^2}-\frac{2 b B^2 (b c-a d)^2 n^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) g^3}{d^4 i^2}-\frac{2 a b B^2 (2 b c-3 a d) n^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) g^3}{d^3 i^2}-\frac{a^2 b B^2 n^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) g^3}{d^2 i^2}-\frac{6 b B^2 (b c-a d)^2 n \log (a+b x) \log (c+d x) \log \left((c+d x)^{-n}\right) g^3}{d^4 i^2}+\frac{6 b B^2 (b c-a d)^2 n \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) \left(\log \left((a+b x)^n\right)-\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+\log \left((c+d x)^{-n}\right)\right) g^3}{d^4 i^2}-\frac{2 b B^2 (b c-a d)^2 n^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) g^3}{d^4 i^2}-\frac{2 a b B^2 (2 b c-3 a d) n^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) g^3}{d^3 i^2}-\frac{a^2 b B^2 n^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) g^3}{d^2 i^2}+\frac{6 b B^2 (b c-a d)^2 n \log \left((a+b x)^n\right) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) g^3}{d^4 i^2}-\frac{2 b B^2 (b c-a d)^2 n^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) g^3}{d^4 i^2}-\frac{2 b^2 B^2 c (2 b c-3 a d) n^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) g^3}{d^4 i^2}-\frac{b^3 B^2 c^2 n^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) g^3}{d^4 i^2}-\frac{6 A b B (b c-a d)^2 n \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) g^3}{d^4 i^2}-\frac{6 b B^2 (b c-a d)^2 n \log \left((c+d x)^{-n}\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) g^3}{d^4 i^2}+\frac{6 b B^2 (b c-a d)^2 n \left(\log \left((a+b x)^n\right)-\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+\log \left((c+d x)^{-n}\right)\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) g^3}{d^4 i^2}-\frac{6 b B^2 (b c-a d)^2 n^2 \text{PolyLog}\left(3,-\frac{d (a+b x)}{b c-a d}\right) g^3}{d^4 i^2}-\frac{6 b B^2 (b c-a d)^2 n^2 \text{PolyLog}\left(3,\frac{b (c+d x)}{b c-a d}\right) g^3}{d^4 i^2}+\frac{2 B^2 (b c-a d)^3 n^2 g^3}{d^4 i^2 (c+d x)}","-\frac{6 b B g^3 n (b c-a d)^2 \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{d^4 i^2}-\frac{6 b B^2 g^3 n^2 (b c-a d)^2 \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{d^4 i^2}-\frac{b B^2 g^3 n^2 (b c-a d)^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{d (a+b x)}\right)}{d^4 i^2}+\frac{6 b B^2 g^3 n^2 (b c-a d)^2 \text{PolyLog}\left(3,\frac{d (a+b x)}{b (c+d x)}\right)}{d^4 i^2}+\frac{b^3 g^3 (c+d x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{2 d^4 i^2}-\frac{3 b g^3 (a+b x) (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{d^3 i^2}-\frac{g^3 (a+b x) (b c-a d)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{d^3 i^2 (c+d x)}-\frac{b B g^3 n (a+b x) (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{d^3 i^2}-\frac{3 b g^3 (b c-a d)^2 \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{d^4 i^2}-\frac{6 b B g^3 n (b c-a d)^2 \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{d^4 i^2}+\frac{b B g^3 n (b c-a d)^2 \log \left(1-\frac{b (c+d x)}{d (a+b x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{d^4 i^2}+\frac{2 A B g^3 n (a+b x) (b c-a d)^2}{d^3 i^2 (c+d x)}+\frac{2 B^2 g^3 n (a+b x) (b c-a d)^2 \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{d^3 i^2 (c+d x)}-\frac{2 B^2 g^3 n^2 (a+b x) (b c-a d)^2}{d^3 i^2 (c+d x)}+\frac{b B^2 g^3 n^2 (b c-a d)^2 \log (c+d x)}{d^4 i^2}",1,"-((A*b^2*B*(b*c - a*d)*g^3*n*x)/(d^3*i^2)) + (2*B^2*(b*c - a*d)^3*g^3*n^2)/(d^4*i^2*(c + d*x)) + (2*b*B^2*(b*c - a*d)^2*g^3*n^2*Log[a + b*x])/(d^4*i^2) + (a^2*b*B^2*g^3*n^2*Log[a + b*x]^2)/(2*d^2*i^2) + (a*b*B^2*(2*b*c - 3*a*d)*g^3*n^2*Log[a + b*x]^2)/(d^3*i^2) + (b*B^2*(b*c - a*d)^2*g^3*n^2*Log[a + b*x]^2)/(d^4*i^2) - (b*B^2*(b*c - a*d)*g^3*n*(a + b*x)*Log[e*((a + b*x)/(c + d*x))^n])/(d^3*i^2) - (2*B*(b*c - a*d)^3*g^3*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(d^4*i^2*(c + d*x)) - (a^2*b*B*g^3*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(d^2*i^2) - (2*a*b*B*(2*b*c - 3*a*d)*g^3*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(d^3*i^2) - (2*b*B*(b*c - a*d)^2*g^3*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(d^4*i^2) - (b^2*(2*b*c - 3*a*d)*g^3*x*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(d^3*i^2) + (b^3*g^3*x^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(2*d^2*i^2) + ((b*c - a*d)^3*g^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(d^4*i^2*(c + d*x)) - (b*B^2*(b*c - a*d)^2*g^3*n^2*Log[c + d*x])/(d^4*i^2) - (6*A*b*B*(b*c - a*d)^2*g^3*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^4*i^2) - (b^3*B^2*c^2*g^3*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^4*i^2) - (2*b^2*B^2*c*(2*b*c - 3*a*d)*g^3*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^4*i^2) - (2*b*B^2*(b*c - a*d)^2*g^3*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^4*i^2) - (3*b*B^2*(b*c - a*d)^2*g^3*Log[(a + b*x)^n]^2*Log[c + d*x])/(d^4*i^2) + (b^3*B*c^2*g^3*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/(d^4*i^2) + (2*b^2*B*c*(2*b*c - 3*a*d)*g^3*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/(d^4*i^2) + (2*b*B*(b*c - a*d)^2*g^3*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/(d^4*i^2) + (3*b*(b*c - a*d)^2*g^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2*Log[c + d*x])/(d^4*i^2) + (3*A*b*B*(b*c - a*d)^2*g^3*n*Log[c + d*x]^2)/(d^4*i^2) + (b^3*B^2*c^2*g^3*n^2*Log[c + d*x]^2)/(2*d^4*i^2) + (b^2*B^2*c*(2*b*c - 3*a*d)*g^3*n^2*Log[c + d*x]^2)/(d^4*i^2) + (b*B^2*(b*c - a*d)^2*g^3*n^2*Log[c + d*x]^2)/(d^4*i^2) - (3*b*B^2*(b*c - a*d)^2*g^3*n^2*Log[a + b*x]*Log[c + d*x]^2)/(d^4*i^2) + (3*b*B^2*(b*c - a*d)^2*g^3*n*Log[e*((a + b*x)/(c + d*x))^n]*Log[c + d*x]^2)/(d^4*i^2) + (b*B^2*(b*c - a*d)^2*g^3*n^2*Log[c + d*x]^3)/(d^4*i^2) - (a^2*b*B^2*g^3*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(d^2*i^2) - (2*a*b*B^2*(2*b*c - 3*a*d)*g^3*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(d^3*i^2) - (2*b*B^2*(b*c - a*d)^2*g^3*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(d^4*i^2) + (3*b*B^2*(b*c - a*d)^2*g^3*Log[(a + b*x)^n]^2*Log[(b*(c + d*x))/(b*c - a*d)])/(d^4*i^2) - (6*b*B^2*(b*c - a*d)^2*g^3*n*Log[a + b*x]*Log[c + d*x]*Log[(c + d*x)^(-n)])/(d^4*i^2) - (3*b*B^2*(b*c - a*d)^2*g^3*Log[a + b*x]*Log[(c + d*x)^(-n)]^2)/(d^4*i^2) + (3*b*B^2*(b*c - a*d)^2*g^3*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[(c + d*x)^(-n)]^2)/(d^4*i^2) + (6*b*B^2*(b*c - a*d)^2*g^3*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x]*(Log[(a + b*x)^n] - Log[e*((a + b*x)/(c + d*x))^n] + Log[(c + d*x)^(-n)]))/(d^4*i^2) - (a^2*b*B^2*g^3*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(d^2*i^2) - (2*a*b*B^2*(2*b*c - 3*a*d)*g^3*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(d^3*i^2) - (2*b*B^2*(b*c - a*d)^2*g^3*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(d^4*i^2) + (6*b*B^2*(b*c - a*d)^2*g^3*n*Log[(a + b*x)^n]*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(d^4*i^2) - (6*A*b*B*(b*c - a*d)^2*g^3*n*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^4*i^2) - (b^3*B^2*c^2*g^3*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^4*i^2) - (2*b^2*B^2*c*(2*b*c - 3*a*d)*g^3*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^4*i^2) - (2*b*B^2*(b*c - a*d)^2*g^3*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^4*i^2) - (6*b*B^2*(b*c - a*d)^2*g^3*n*Log[(c + d*x)^(-n)]*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^4*i^2) + (6*b*B^2*(b*c - a*d)^2*g^3*n*(Log[(a + b*x)^n] - Log[e*((a + b*x)/(c + d*x))^n] + Log[(c + d*x)^(-n)])*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^4*i^2) - (6*b*B^2*(b*c - a*d)^2*g^3*n^2*PolyLog[3, -((d*(a + b*x))/(b*c - a*d))])/(d^4*i^2) - (6*b*B^2*(b*c - a*d)^2*g^3*n^2*PolyLog[3, (b*(c + d*x))/(b*c - a*d)])/(d^4*i^2)","B",112,28,45,0.6222,1,"{2528, 2523, 12, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 2525, 2486, 31, 44, 6688, 6742, 2500, 2433, 2375, 2317, 2374, 6589, 2440, 2434, 2499, 2396, 2302, 30}"
195,1,1807,0,4.9814446,"\int \frac{(a g+b g x)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(c i+d i x)^2} \, dx","Int[((a*g + b*g*x)^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(c*i + d*i*x)^2,x]","-\frac{2 b B^2 (b c-a d) g^2 n^2 \log ^3(c+d x)}{3 d^3 i^2}-\frac{b B^2 (b c-a d) g^2 n^2 \log ^2(c+d x)}{d^3 i^2}-\frac{b^2 B^2 c g^2 n^2 \log ^2(c+d x)}{d^3 i^2}-\frac{2 A b B (b c-a d) g^2 n \log ^2(c+d x)}{d^3 i^2}+\frac{2 b B^2 (b c-a d) g^2 n^2 \log (a+b x) \log ^2(c+d x)}{d^3 i^2}-\frac{2 b B^2 (b c-a d) g^2 n \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right) \log ^2(c+d x)}{d^3 i^2}+\frac{2 b B^2 (b c-a d) g^2 n^2 \log (c+d x)}{d^3 i^2}+\frac{2 b B^2 (b c-a d) g^2 \log ^2\left((a+b x)^n\right) \log (c+d x)}{d^3 i^2}-\frac{2 b (b c-a d) g^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 \log (c+d x)}{d^3 i^2}+\frac{2 b B^2 (b c-a d) g^2 n^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{d^3 i^2}+\frac{2 b^2 B^2 c g^2 n^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{d^3 i^2}+\frac{4 A b B (b c-a d) g^2 n \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{d^3 i^2}-\frac{2 b B (b c-a d) g^2 n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \log (c+d x)}{d^3 i^2}-\frac{2 b^2 B c g^2 n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \log (c+d x)}{d^3 i^2}+\frac{4 b B^2 (b c-a d) g^2 n \log (a+b x) \log \left((c+d x)^{-n}\right) \log (c+d x)}{d^3 i^2}-\frac{4 b B^2 (b c-a d) g^2 n \log \left(-\frac{d (a+b x)}{b c-a d}\right) \left(\log \left((a+b x)^n\right)-\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+\log \left((c+d x)^{-n}\right)\right) \log (c+d x)}{d^3 i^2}-\frac{b B^2 (b c-a d) g^2 n^2 \log ^2(a+b x)}{d^3 i^2}-\frac{a b B^2 g^2 n^2 \log ^2(a+b x)}{d^2 i^2}+\frac{b^2 g^2 x \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{d^2 i^2}-\frac{(b c-a d)^2 g^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{d^3 i^2 (c+d x)}+\frac{2 b B^2 (b c-a d) g^2 \log (a+b x) \log ^2\left((c+d x)^{-n}\right)}{d^3 i^2}-\frac{2 b B^2 (b c-a d) g^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2\left((c+d x)^{-n}\right)}{d^3 i^2}-\frac{2 b B^2 (b c-a d) g^2 n^2 \log (a+b x)}{d^3 i^2}+\frac{2 b B (b c-a d) g^2 n \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{d^3 i^2}+\frac{2 a b B g^2 n \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{d^2 i^2}+\frac{2 B (b c-a d)^2 g^2 n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{d^3 i^2 (c+d x)}-\frac{2 b B^2 (b c-a d) g^2 \log ^2\left((a+b x)^n\right) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{d^3 i^2}+\frac{2 b B^2 (b c-a d) g^2 n^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{d^3 i^2}+\frac{2 a b B^2 g^2 n^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{d^2 i^2}+\frac{2 b B^2 (b c-a d) g^2 n^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{d^3 i^2}+\frac{2 a b B^2 g^2 n^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{d^2 i^2}-\frac{4 b B^2 (b c-a d) g^2 n \log \left((a+b x)^n\right) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{d^3 i^2}+\frac{2 b B^2 (b c-a d) g^2 n^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^3 i^2}+\frac{2 b^2 B^2 c g^2 n^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^3 i^2}+\frac{4 A b B (b c-a d) g^2 n \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^3 i^2}+\frac{4 b B^2 (b c-a d) g^2 n \log \left((c+d x)^{-n}\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^3 i^2}-\frac{4 b B^2 (b c-a d) g^2 n \left(\log \left((a+b x)^n\right)-\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+\log \left((c+d x)^{-n}\right)\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^3 i^2}+\frac{4 b B^2 (b c-a d) g^2 n^2 \text{PolyLog}\left(3,-\frac{d (a+b x)}{b c-a d}\right)}{d^3 i^2}+\frac{4 b B^2 (b c-a d) g^2 n^2 \text{PolyLog}\left(3,\frac{b (c+d x)}{b c-a d}\right)}{d^3 i^2}-\frac{2 B^2 (b c-a d)^2 g^2 n^2}{d^3 i^2 (c+d x)}","\frac{4 b B g^2 n (b c-a d) \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{d^3 i^2}+\frac{2 b B^2 g^2 n^2 (b c-a d) \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{d^3 i^2}-\frac{4 b B^2 g^2 n^2 (b c-a d) \text{PolyLog}\left(3,\frac{d (a+b x)}{b (c+d x)}\right)}{d^3 i^2}+\frac{b g^2 (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{d^2 i^2}+\frac{g^2 (a+b x) (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{d^2 i^2 (c+d x)}+\frac{2 b g^2 (b c-a d) \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{d^3 i^2}+\frac{2 b B g^2 n (b c-a d) \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{d^3 i^2}-\frac{2 A B g^2 n (a+b x) (b c-a d)}{d^2 i^2 (c+d x)}-\frac{2 B^2 g^2 n (a+b x) (b c-a d) \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{d^2 i^2 (c+d x)}+\frac{2 B^2 g^2 n^2 (a+b x) (b c-a d)}{d^2 i^2 (c+d x)}",1,"(-2*B^2*(b*c - a*d)^2*g^2*n^2)/(d^3*i^2*(c + d*x)) - (2*b*B^2*(b*c - a*d)*g^2*n^2*Log[a + b*x])/(d^3*i^2) - (a*b*B^2*g^2*n^2*Log[a + b*x]^2)/(d^2*i^2) - (b*B^2*(b*c - a*d)*g^2*n^2*Log[a + b*x]^2)/(d^3*i^2) + (2*B*(b*c - a*d)^2*g^2*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(d^3*i^2*(c + d*x)) + (2*a*b*B*g^2*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(d^2*i^2) + (2*b*B*(b*c - a*d)*g^2*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(d^3*i^2) + (b^2*g^2*x*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(d^2*i^2) - ((b*c - a*d)^2*g^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(d^3*i^2*(c + d*x)) + (2*b*B^2*(b*c - a*d)*g^2*n^2*Log[c + d*x])/(d^3*i^2) + (4*A*b*B*(b*c - a*d)*g^2*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^3*i^2) + (2*b^2*B^2*c*g^2*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^3*i^2) + (2*b*B^2*(b*c - a*d)*g^2*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^3*i^2) + (2*b*B^2*(b*c - a*d)*g^2*Log[(a + b*x)^n]^2*Log[c + d*x])/(d^3*i^2) - (2*b^2*B*c*g^2*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/(d^3*i^2) - (2*b*B*(b*c - a*d)*g^2*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/(d^3*i^2) - (2*b*(b*c - a*d)*g^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2*Log[c + d*x])/(d^3*i^2) - (2*A*b*B*(b*c - a*d)*g^2*n*Log[c + d*x]^2)/(d^3*i^2) - (b^2*B^2*c*g^2*n^2*Log[c + d*x]^2)/(d^3*i^2) - (b*B^2*(b*c - a*d)*g^2*n^2*Log[c + d*x]^2)/(d^3*i^2) + (2*b*B^2*(b*c - a*d)*g^2*n^2*Log[a + b*x]*Log[c + d*x]^2)/(d^3*i^2) - (2*b*B^2*(b*c - a*d)*g^2*n*Log[e*((a + b*x)/(c + d*x))^n]*Log[c + d*x]^2)/(d^3*i^2) - (2*b*B^2*(b*c - a*d)*g^2*n^2*Log[c + d*x]^3)/(3*d^3*i^2) + (2*a*b*B^2*g^2*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(d^2*i^2) + (2*b*B^2*(b*c - a*d)*g^2*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(d^3*i^2) - (2*b*B^2*(b*c - a*d)*g^2*Log[(a + b*x)^n]^2*Log[(b*(c + d*x))/(b*c - a*d)])/(d^3*i^2) + (4*b*B^2*(b*c - a*d)*g^2*n*Log[a + b*x]*Log[c + d*x]*Log[(c + d*x)^(-n)])/(d^3*i^2) + (2*b*B^2*(b*c - a*d)*g^2*Log[a + b*x]*Log[(c + d*x)^(-n)]^2)/(d^3*i^2) - (2*b*B^2*(b*c - a*d)*g^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[(c + d*x)^(-n)]^2)/(d^3*i^2) - (4*b*B^2*(b*c - a*d)*g^2*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x]*(Log[(a + b*x)^n] - Log[e*((a + b*x)/(c + d*x))^n] + Log[(c + d*x)^(-n)]))/(d^3*i^2) + (2*a*b*B^2*g^2*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(d^2*i^2) + (2*b*B^2*(b*c - a*d)*g^2*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(d^3*i^2) - (4*b*B^2*(b*c - a*d)*g^2*n*Log[(a + b*x)^n]*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(d^3*i^2) + (4*A*b*B*(b*c - a*d)*g^2*n*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^3*i^2) + (2*b^2*B^2*c*g^2*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^3*i^2) + (2*b*B^2*(b*c - a*d)*g^2*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^3*i^2) + (4*b*B^2*(b*c - a*d)*g^2*n*Log[(c + d*x)^(-n)]*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^3*i^2) - (4*b*B^2*(b*c - a*d)*g^2*n*(Log[(a + b*x)^n] - Log[e*((a + b*x)/(c + d*x))^n] + Log[(c + d*x)^(-n)])*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^3*i^2) + (4*b*B^2*(b*c - a*d)*g^2*n^2*PolyLog[3, -((d*(a + b*x))/(b*c - a*d))])/(d^3*i^2) + (4*b*B^2*(b*c - a*d)*g^2*n^2*PolyLog[3, (b*(c + d*x))/(b*c - a*d)])/(d^3*i^2)","B",89,26,45,0.5778,1,"{2528, 2523, 12, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 2525, 44, 6688, 6742, 2500, 2433, 2375, 2317, 2374, 6589, 2440, 2434, 2499, 2396, 2302, 30}"
196,1,1157,0,4.1721868,"\int \frac{(a g+b g x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(c i+d i x)^2} \, dx","Int[((a*g + b*g*x)*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(c*i + d*i*x)^2,x]","\frac{b B^2 g n^2 \log ^3(c+d x)}{3 d^2 i^2}+\frac{b B^2 g n^2 \log ^2(c+d x)}{d^2 i^2}+\frac{A b B g n \log ^2(c+d x)}{d^2 i^2}-\frac{b B^2 g n^2 \log (a+b x) \log ^2(c+d x)}{d^2 i^2}+\frac{b B^2 g n \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right) \log ^2(c+d x)}{d^2 i^2}-\frac{2 b B^2 g n^2 \log (c+d x)}{d^2 i^2}-\frac{b B^2 g \log ^2\left((a+b x)^n\right) \log (c+d x)}{d^2 i^2}+\frac{b g \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 \log (c+d x)}{d^2 i^2}-\frac{2 b B^2 g n^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{d^2 i^2}-\frac{2 A b B g n \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{d^2 i^2}+\frac{2 b B g n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \log (c+d x)}{d^2 i^2}-\frac{2 b B^2 g n \log (a+b x) \log \left((c+d x)^{-n}\right) \log (c+d x)}{d^2 i^2}+\frac{2 b B^2 g n \log \left(-\frac{d (a+b x)}{b c-a d}\right) \left(\log \left((a+b x)^n\right)-\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+\log \left((c+d x)^{-n}\right)\right) \log (c+d x)}{d^2 i^2}+\frac{b B^2 g n^2 \log ^2(a+b x)}{d^2 i^2}+\frac{(b c-a d) g \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{d^2 i^2 (c+d x)}-\frac{b B^2 g \log (a+b x) \log ^2\left((c+d x)^{-n}\right)}{d^2 i^2}+\frac{b B^2 g \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2\left((c+d x)^{-n}\right)}{d^2 i^2}+\frac{2 b B^2 g n^2 \log (a+b x)}{d^2 i^2}-\frac{2 b B g n \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{d^2 i^2}-\frac{2 B (b c-a d) g n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{d^2 i^2 (c+d x)}+\frac{b B^2 g \log ^2\left((a+b x)^n\right) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{d^2 i^2}-\frac{2 b B^2 g n^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{d^2 i^2}-\frac{2 b B^2 g n^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{d^2 i^2}+\frac{2 b B^2 g n \log \left((a+b x)^n\right) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{d^2 i^2}-\frac{2 b B^2 g n^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^2 i^2}-\frac{2 A b B g n \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^2 i^2}-\frac{2 b B^2 g n \log \left((c+d x)^{-n}\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^2 i^2}+\frac{2 b B^2 g n \left(\log \left((a+b x)^n\right)-\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+\log \left((c+d x)^{-n}\right)\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^2 i^2}-\frac{2 b B^2 g n^2 \text{PolyLog}\left(3,-\frac{d (a+b x)}{b c-a d}\right)}{d^2 i^2}-\frac{2 b B^2 g n^2 \text{PolyLog}\left(3,\frac{b (c+d x)}{b c-a d}\right)}{d^2 i^2}+\frac{2 B^2 (b c-a d) g n^2}{d^2 i^2 (c+d x)}","-\frac{2 b B g n \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{d^2 i^2}+\frac{2 b B^2 g n^2 \text{PolyLog}\left(3,\frac{d (a+b x)}{b (c+d x)}\right)}{d^2 i^2}-\frac{b g \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{d^2 i^2}-\frac{g (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{d i^2 (c+d x)}+\frac{2 A B g n (a+b x)}{d i^2 (c+d x)}+\frac{2 B^2 g n (a+b x) \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{d i^2 (c+d x)}-\frac{2 B^2 g n^2 (a+b x)}{d i^2 (c+d x)}",1,"(2*B^2*(b*c - a*d)*g*n^2)/(d^2*i^2*(c + d*x)) + (2*b*B^2*g*n^2*Log[a + b*x])/(d^2*i^2) + (b*B^2*g*n^2*Log[a + b*x]^2)/(d^2*i^2) - (2*B*(b*c - a*d)*g*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(d^2*i^2*(c + d*x)) - (2*b*B*g*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(d^2*i^2) + ((b*c - a*d)*g*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(d^2*i^2*(c + d*x)) - (2*b*B^2*g*n^2*Log[c + d*x])/(d^2*i^2) - (2*A*b*B*g*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^2*i^2) - (2*b*B^2*g*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^2*i^2) - (b*B^2*g*Log[(a + b*x)^n]^2*Log[c + d*x])/(d^2*i^2) + (2*b*B*g*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/(d^2*i^2) + (b*g*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2*Log[c + d*x])/(d^2*i^2) + (A*b*B*g*n*Log[c + d*x]^2)/(d^2*i^2) + (b*B^2*g*n^2*Log[c + d*x]^2)/(d^2*i^2) - (b*B^2*g*n^2*Log[a + b*x]*Log[c + d*x]^2)/(d^2*i^2) + (b*B^2*g*n*Log[e*((a + b*x)/(c + d*x))^n]*Log[c + d*x]^2)/(d^2*i^2) + (b*B^2*g*n^2*Log[c + d*x]^3)/(3*d^2*i^2) - (2*b*B^2*g*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(d^2*i^2) + (b*B^2*g*Log[(a + b*x)^n]^2*Log[(b*(c + d*x))/(b*c - a*d)])/(d^2*i^2) - (2*b*B^2*g*n*Log[a + b*x]*Log[c + d*x]*Log[(c + d*x)^(-n)])/(d^2*i^2) - (b*B^2*g*Log[a + b*x]*Log[(c + d*x)^(-n)]^2)/(d^2*i^2) + (b*B^2*g*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[(c + d*x)^(-n)]^2)/(d^2*i^2) + (2*b*B^2*g*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x]*(Log[(a + b*x)^n] - Log[e*((a + b*x)/(c + d*x))^n] + Log[(c + d*x)^(-n)]))/(d^2*i^2) - (2*b*B^2*g*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(d^2*i^2) + (2*b*B^2*g*n*Log[(a + b*x)^n]*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(d^2*i^2) - (2*A*b*B*g*n*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^2*i^2) - (2*b*B^2*g*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^2*i^2) - (2*b*B^2*g*n*Log[(c + d*x)^(-n)]*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^2*i^2) + (2*b*B^2*g*n*(Log[(a + b*x)^n] - Log[e*((a + b*x)/(c + d*x))^n] + Log[(c + d*x)^(-n)])*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^2*i^2) - (2*b*B^2*g*n^2*PolyLog[3, -((d*(a + b*x))/(b*c - a*d))])/(d^2*i^2) - (2*b*B^2*g*n^2*PolyLog[3, (b*(c + d*x))/(b*c - a*d)])/(d^2*i^2)","B",69,25,43,0.5814,1,"{2528, 2525, 12, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 44, 6688, 6742, 2500, 2433, 2375, 2317, 2374, 6589, 2440, 2434, 2499, 2396, 2302, 30}"
197,1,514,0,0.7555384,"\int \frac{\left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(c i+d i x)^2} \, dx","Int[(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2/(c*i + d*i*x)^2,x]","\frac{2 b B^2 n^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{d i^2 (b c-a d)}+\frac{2 b B^2 n^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d i^2 (b c-a d)}+\frac{2 b B n \log (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{d i^2 (b c-a d)}+\frac{2 B n \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{d i^2 (c+d x)}-\frac{2 b B n \log (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{d i^2 (b c-a d)}-\frac{\left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{d i^2 (c+d x)}-\frac{b B^2 n^2 \log ^2(a+b x)}{d i^2 (b c-a d)}-\frac{b B^2 n^2 \log ^2(c+d x)}{d i^2 (b c-a d)}-\frac{2 b B^2 n^2 \log (a+b x)}{d i^2 (b c-a d)}+\frac{2 b B^2 n^2 \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{d i^2 (b c-a d)}+\frac{2 b B^2 n^2 \log (c+d x)}{d i^2 (b c-a d)}+\frac{2 b B^2 n^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{d i^2 (b c-a d)}-\frac{2 B^2 n^2}{d i^2 (c+d x)}","\frac{(a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{i^2 (c+d x) (b c-a d)}-\frac{2 A B n (a+b x)}{i^2 (c+d x) (b c-a d)}-\frac{2 B^2 n (a+b x) \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{i^2 (c+d x) (b c-a d)}+\frac{2 B^2 n^2 (a+b x)}{i^2 (c+d x) (b c-a d)}",1,"(-2*B^2*n^2)/(d*i^2*(c + d*x)) - (2*b*B^2*n^2*Log[a + b*x])/(d*(b*c - a*d)*i^2) - (b*B^2*n^2*Log[a + b*x]^2)/(d*(b*c - a*d)*i^2) + (2*B*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(d*i^2*(c + d*x)) + (2*b*B*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(d*(b*c - a*d)*i^2) - (A + B*Log[e*((a + b*x)/(c + d*x))^n])^2/(d*i^2*(c + d*x)) + (2*b*B^2*n^2*Log[c + d*x])/(d*(b*c - a*d)*i^2) + (2*b*B^2*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d*(b*c - a*d)*i^2) - (2*b*B*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/(d*(b*c - a*d)*i^2) - (b*B^2*n^2*Log[c + d*x]^2)/(d*(b*c - a*d)*i^2) + (2*b*B^2*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(d*(b*c - a*d)*i^2) + (2*b*B^2*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(d*(b*c - a*d)*i^2) + (2*b*B^2*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d*(b*c - a*d)*i^2)","C",24,11,35,0.3143,1,"{2525, 12, 2528, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 44}"
198,1,1803,0,6.1118286,"\int \frac{\left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(a g+b g x) (c i+d i x)^2} \, dx","Int[(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2/((a*g + b*g*x)*(c*i + d*i*x)^2),x]","-\frac{b B^2 n^2 \log ^3(c+d x)}{3 (b c-a d)^2 g i^2}+\frac{b B^2 n^2 \log ^2(c+d x)}{(b c-a d)^2 g i^2}-\frac{A b B n \log ^2(c+d x)}{(b c-a d)^2 g i^2}+\frac{b B^2 n^2 \log (a+b x) \log ^2(c+d x)}{(b c-a d)^2 g i^2}-\frac{b B^2 n \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right) \log ^2(c+d x)}{(b c-a d)^2 g i^2}-\frac{2 b B^2 n^2 \log (c+d x)}{(b c-a d)^2 g i^2}+\frac{b B^2 \log ^2\left((a+b x)^n\right) \log (c+d x)}{(b c-a d)^2 g i^2}-\frac{b \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 \log (c+d x)}{(b c-a d)^2 g i^2}-\frac{2 b B^2 n^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{(b c-a d)^2 g i^2}+\frac{2 A b B n \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{(b c-a d)^2 g i^2}+\frac{2 b B n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \log (c+d x)}{(b c-a d)^2 g i^2}+\frac{2 b B^2 n \log (a+b x) \log \left((c+d x)^{-n}\right) \log (c+d x)}{(b c-a d)^2 g i^2}-\frac{2 b B^2 n \log \left(-\frac{d (a+b x)}{b c-a d}\right) \left(\log \left((a+b x)^n\right)-\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+\log \left((c+d x)^{-n}\right)\right) \log (c+d x)}{(b c-a d)^2 g i^2}+\frac{b B^2 n^2 \log ^2(a+b x)}{(b c-a d)^2 g i^2}-\frac{A b B n \log ^2(a+b x)}{(b c-a d)^2 g i^2}-\frac{b B^2 \log \left(-\frac{b c-a d}{d (a+b x)}\right) \log ^2\left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{(b c-a d)^2 g i^2}-\frac{b B^2 \log (a+b x) \log ^2\left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{(b c-a d)^2 g i^2}+\frac{b \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(b c-a d)^2 g i^2}+\frac{\left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(b c-a d) g i^2 (c+d x)}+\frac{b B^2 \log (a+b x) \log ^2\left((c+d x)^{-n}\right)}{(b c-a d)^2 g i^2}-\frac{b B^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2\left((c+d x)^{-n}\right)}{(b c-a d)^2 g i^2}+\frac{2 b B^2 n^2 \log (a+b x)}{(b c-a d)^2 g i^2}-\frac{2 b B n \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{(b c-a d)^2 g i^2}-\frac{2 B n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{(b c-a d) g i^2 (c+d x)}-\frac{b B^2 \log ^2\left((a+b x)^n\right) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^2 g i^2}-\frac{2 b B^2 n^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^2 g i^2}+\frac{2 A b B n \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^2 g i^2}-\frac{2 b B^2 n^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^2 g i^2}+\frac{2 A b B n \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^2 g i^2}-\frac{2 b B^2 n \log \left((a+b x)^n\right) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^2 g i^2}-\frac{2 b B^2 n^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^2 g i^2}+\frac{2 A b B n \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^2 g i^2}+\frac{2 b B^2 n \log \left((c+d x)^{-n}\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^2 g i^2}-\frac{2 b B^2 n \left(\log \left((a+b x)^n\right)-\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+\log \left((c+d x)^{-n}\right)\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^2 g i^2}+\frac{2 b B^2 n \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right) \text{PolyLog}\left(2,\frac{b c-a d}{d (a+b x)}+1\right)}{(b c-a d)^2 g i^2}+\frac{2 b B^2 n^2 \text{PolyLog}\left(3,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^2 g i^2}+\frac{2 b B^2 n^2 \text{PolyLog}\left(3,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^2 g i^2}+\frac{2 b B^2 n^2 \text{PolyLog}\left(3,\frac{b c-a d}{d (a+b x)}+1\right)}{(b c-a d)^2 g i^2}+\frac{2 B^2 n^2}{(b c-a d) g i^2 (c+d x)}","\frac{b \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^3}{3 B g i^2 n (b c-a d)^2}-\frac{d (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{g i^2 (c+d x) (b c-a d)^2}+\frac{2 A B d n (a+b x)}{g i^2 (c+d x) (b c-a d)^2}+\frac{2 B^2 d n (a+b x) \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{g i^2 (c+d x) (b c-a d)^2}-\frac{2 B^2 d n^2 (a+b x)}{g i^2 (c+d x) (b c-a d)^2}",1,"(2*B^2*n^2)/((b*c - a*d)*g*i^2*(c + d*x)) + (2*b*B^2*n^2*Log[a + b*x])/((b*c - a*d)^2*g*i^2) - (A*b*B*n*Log[a + b*x]^2)/((b*c - a*d)^2*g*i^2) + (b*B^2*n^2*Log[a + b*x]^2)/((b*c - a*d)^2*g*i^2) - (b*B^2*Log[-((b*c - a*d)/(d*(a + b*x)))]*Log[e*((a + b*x)/(c + d*x))^n]^2)/((b*c - a*d)^2*g*i^2) - (b*B^2*Log[a + b*x]*Log[e*((a + b*x)/(c + d*x))^n]^2)/((b*c - a*d)^2*g*i^2) - (2*B*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/((b*c - a*d)*g*i^2*(c + d*x)) - (2*b*B*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/((b*c - a*d)^2*g*i^2) + (A + B*Log[e*((a + b*x)/(c + d*x))^n])^2/((b*c - a*d)*g*i^2*(c + d*x)) + (b*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/((b*c - a*d)^2*g*i^2) - (2*b*B^2*n^2*Log[c + d*x])/((b*c - a*d)^2*g*i^2) + (2*A*b*B*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^2*g*i^2) - (2*b*B^2*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^2*g*i^2) + (b*B^2*Log[(a + b*x)^n]^2*Log[c + d*x])/((b*c - a*d)^2*g*i^2) + (2*b*B*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/((b*c - a*d)^2*g*i^2) - (b*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2*Log[c + d*x])/((b*c - a*d)^2*g*i^2) - (A*b*B*n*Log[c + d*x]^2)/((b*c - a*d)^2*g*i^2) + (b*B^2*n^2*Log[c + d*x]^2)/((b*c - a*d)^2*g*i^2) + (b*B^2*n^2*Log[a + b*x]*Log[c + d*x]^2)/((b*c - a*d)^2*g*i^2) - (b*B^2*n*Log[e*((a + b*x)/(c + d*x))^n]*Log[c + d*x]^2)/((b*c - a*d)^2*g*i^2) - (b*B^2*n^2*Log[c + d*x]^3)/(3*(b*c - a*d)^2*g*i^2) + (2*A*b*B*n*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^2*g*i^2) - (2*b*B^2*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^2*g*i^2) - (b*B^2*Log[(a + b*x)^n]^2*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^2*g*i^2) + (2*b*B^2*n*Log[a + b*x]*Log[c + d*x]*Log[(c + d*x)^(-n)])/((b*c - a*d)^2*g*i^2) + (b*B^2*Log[a + b*x]*Log[(c + d*x)^(-n)]^2)/((b*c - a*d)^2*g*i^2) - (b*B^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[(c + d*x)^(-n)]^2)/((b*c - a*d)^2*g*i^2) - (2*b*B^2*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x]*(Log[(a + b*x)^n] - Log[e*((a + b*x)/(c + d*x))^n] + Log[(c + d*x)^(-n)]))/((b*c - a*d)^2*g*i^2) + (2*A*b*B*n*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^2*g*i^2) - (2*b*B^2*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^2*g*i^2) - (2*b*B^2*n*Log[(a + b*x)^n]*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^2*g*i^2) + (2*A*b*B*n*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^2*g*i^2) - (2*b*B^2*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^2*g*i^2) + (2*b*B^2*n*Log[(c + d*x)^(-n)]*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^2*g*i^2) - (2*b*B^2*n*(Log[(a + b*x)^n] - Log[e*((a + b*x)/(c + d*x))^n] + Log[(c + d*x)^(-n)])*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^2*g*i^2) + (2*b*B^2*n*Log[e*((a + b*x)/(c + d*x))^n]*PolyLog[2, 1 + (b*c - a*d)/(d*(a + b*x))])/((b*c - a*d)^2*g*i^2) + (2*b*B^2*n^2*PolyLog[3, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^2*g*i^2) + (2*b*B^2*n^2*PolyLog[3, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^2*g*i^2) + (2*b*B^2*n^2*PolyLog[3, 1 + (b*c - a*d)/(d*(a + b*x))])/((b*c - a*d)^2*g*i^2)","C",83,31,45,0.6889,1,"{2528, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 6688, 12, 6742, 2411, 2344, 2317, 2507, 2488, 2506, 6610, 2525, 44, 2500, 2433, 2375, 2374, 6589, 2440, 2434, 2499, 2396, 2302, 30}"
199,1,1621,0,6.8119722,"\int \frac{\left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(a g+b g x)^2 (c i+d i x)^2} \, dx","Int[(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2/((a*g + b*g*x)^2*(c*i + d*i*x)^2),x]","\frac{2 b B^2 d n^2 \log ^3(c+d x)}{3 (b c-a d)^3 g^2 i^2}+\frac{2 A b B d n \log ^2(c+d x)}{(b c-a d)^3 g^2 i^2}-\frac{2 b B^2 d n^2 \log (a+b x) \log ^2(c+d x)}{(b c-a d)^3 g^2 i^2}+\frac{2 b B^2 d n \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right) \log ^2(c+d x)}{(b c-a d)^3 g^2 i^2}+\frac{4 b B^2 d n^2 \log (c+d x)}{(b c-a d)^3 g^2 i^2}-\frac{2 b B^2 d \log ^2\left((a+b x)^n\right) \log (c+d x)}{(b c-a d)^3 g^2 i^2}+\frac{2 b d \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 \log (c+d x)}{(b c-a d)^3 g^2 i^2}-\frac{4 A b B d n \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{(b c-a d)^3 g^2 i^2}-\frac{4 b B^2 d n \log (a+b x) \log \left((c+d x)^{-n}\right) \log (c+d x)}{(b c-a d)^3 g^2 i^2}+\frac{4 b B^2 d n \log \left(-\frac{d (a+b x)}{b c-a d}\right) \left(\log \left((a+b x)^n\right)-\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+\log \left((c+d x)^{-n}\right)\right) \log (c+d x)}{(b c-a d)^3 g^2 i^2}+\frac{2 A b B d n \log ^2(a+b x)}{(b c-a d)^3 g^2 i^2}+\frac{2 b B^2 d \log \left(-\frac{b c-a d}{d (a+b x)}\right) \log ^2\left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{(b c-a d)^3 g^2 i^2}+\frac{2 b B^2 d \log (a+b x) \log ^2\left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{(b c-a d)^3 g^2 i^2}-\frac{2 b d \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(b c-a d)^3 g^2 i^2}-\frac{b \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(b c-a d)^2 g^2 i^2 (a+b x)}-\frac{d \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(b c-a d)^2 g^2 i^2 (c+d x)}-\frac{2 b B^2 d \log (a+b x) \log ^2\left((c+d x)^{-n}\right)}{(b c-a d)^3 g^2 i^2}+\frac{2 b B^2 d \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2\left((c+d x)^{-n}\right)}{(b c-a d)^3 g^2 i^2}-\frac{4 b B^2 d n^2 \log (a+b x)}{(b c-a d)^3 g^2 i^2}-\frac{2 b B n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{(b c-a d)^2 g^2 i^2 (a+b x)}+\frac{2 B d n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{(b c-a d)^2 g^2 i^2 (c+d x)}+\frac{2 b B^2 d \log ^2\left((a+b x)^n\right) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^3 g^2 i^2}-\frac{4 A b B d n \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^3 g^2 i^2}-\frac{4 A b B d n \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^3 g^2 i^2}+\frac{4 b B^2 d n \log \left((a+b x)^n\right) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^3 g^2 i^2}-\frac{4 A b B d n \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^3 g^2 i^2}-\frac{4 b B^2 d n \log \left((c+d x)^{-n}\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^3 g^2 i^2}+\frac{4 b B^2 d n \left(\log \left((a+b x)^n\right)-\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+\log \left((c+d x)^{-n}\right)\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^3 g^2 i^2}-\frac{4 b B^2 d n \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right) \text{PolyLog}\left(2,\frac{b c-a d}{d (a+b x)}+1\right)}{(b c-a d)^3 g^2 i^2}-\frac{4 b B^2 d n^2 \text{PolyLog}\left(3,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^3 g^2 i^2}-\frac{4 b B^2 d n^2 \text{PolyLog}\left(3,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^3 g^2 i^2}-\frac{4 b B^2 d n^2 \text{PolyLog}\left(3,\frac{b c-a d}{d (a+b x)}+1\right)}{(b c-a d)^3 g^2 i^2}-\frac{2 b B^2 n^2}{(b c-a d)^2 g^2 i^2 (a+b x)}-\frac{2 B^2 d n^2}{(b c-a d)^2 g^2 i^2 (c+d x)}","-\frac{b^2 (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{g^2 i^2 (a+b x) (b c-a d)^3}-\frac{2 b^2 B n (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^2 i^2 (a+b x) (b c-a d)^3}+\frac{d^2 (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{g^2 i^2 (c+d x) (b c-a d)^3}-\frac{2 A B d^2 n (a+b x)}{g^2 i^2 (c+d x) (b c-a d)^3}-\frac{2 b d \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^3}{3 B g^2 i^2 n (b c-a d)^3}-\frac{2 b^2 B^2 n^2 (c+d x)}{g^2 i^2 (a+b x) (b c-a d)^3}-\frac{2 B^2 d^2 n (a+b x) \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{g^2 i^2 (c+d x) (b c-a d)^3}+\frac{2 B^2 d^2 n^2 (a+b x)}{g^2 i^2 (c+d x) (b c-a d)^3}",1,"(-2*b*B^2*n^2)/((b*c - a*d)^2*g^2*i^2*(a + b*x)) - (2*B^2*d*n^2)/((b*c - a*d)^2*g^2*i^2*(c + d*x)) - (4*b*B^2*d*n^2*Log[a + b*x])/((b*c - a*d)^3*g^2*i^2) + (2*A*b*B*d*n*Log[a + b*x]^2)/((b*c - a*d)^3*g^2*i^2) + (2*b*B^2*d*Log[-((b*c - a*d)/(d*(a + b*x)))]*Log[e*((a + b*x)/(c + d*x))^n]^2)/((b*c - a*d)^3*g^2*i^2) + (2*b*B^2*d*Log[a + b*x]*Log[e*((a + b*x)/(c + d*x))^n]^2)/((b*c - a*d)^3*g^2*i^2) - (2*b*B*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/((b*c - a*d)^2*g^2*i^2*(a + b*x)) + (2*B*d*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/((b*c - a*d)^2*g^2*i^2*(c + d*x)) - (b*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/((b*c - a*d)^2*g^2*i^2*(a + b*x)) - (d*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/((b*c - a*d)^2*g^2*i^2*(c + d*x)) - (2*b*d*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/((b*c - a*d)^3*g^2*i^2) + (4*b*B^2*d*n^2*Log[c + d*x])/((b*c - a*d)^3*g^2*i^2) - (4*A*b*B*d*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^3*g^2*i^2) - (2*b*B^2*d*Log[(a + b*x)^n]^2*Log[c + d*x])/((b*c - a*d)^3*g^2*i^2) + (2*b*d*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2*Log[c + d*x])/((b*c - a*d)^3*g^2*i^2) + (2*A*b*B*d*n*Log[c + d*x]^2)/((b*c - a*d)^3*g^2*i^2) - (2*b*B^2*d*n^2*Log[a + b*x]*Log[c + d*x]^2)/((b*c - a*d)^3*g^2*i^2) + (2*b*B^2*d*n*Log[e*((a + b*x)/(c + d*x))^n]*Log[c + d*x]^2)/((b*c - a*d)^3*g^2*i^2) + (2*b*B^2*d*n^2*Log[c + d*x]^3)/(3*(b*c - a*d)^3*g^2*i^2) - (4*A*b*B*d*n*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g^2*i^2) + (2*b*B^2*d*Log[(a + b*x)^n]^2*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g^2*i^2) - (4*b*B^2*d*n*Log[a + b*x]*Log[c + d*x]*Log[(c + d*x)^(-n)])/((b*c - a*d)^3*g^2*i^2) - (2*b*B^2*d*Log[a + b*x]*Log[(c + d*x)^(-n)]^2)/((b*c - a*d)^3*g^2*i^2) + (2*b*B^2*d*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[(c + d*x)^(-n)]^2)/((b*c - a*d)^3*g^2*i^2) + (4*b*B^2*d*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x]*(Log[(a + b*x)^n] - Log[e*((a + b*x)/(c + d*x))^n] + Log[(c + d*x)^(-n)]))/((b*c - a*d)^3*g^2*i^2) - (4*A*b*B*d*n*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^3*g^2*i^2) + (4*b*B^2*d*n*Log[(a + b*x)^n]*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^3*g^2*i^2) - (4*A*b*B*d*n*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g^2*i^2) - (4*b*B^2*d*n*Log[(c + d*x)^(-n)]*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g^2*i^2) + (4*b*B^2*d*n*(Log[(a + b*x)^n] - Log[e*((a + b*x)/(c + d*x))^n] + Log[(c + d*x)^(-n)])*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g^2*i^2) - (4*b*B^2*d*n*Log[e*((a + b*x)/(c + d*x))^n]*PolyLog[2, 1 + (b*c - a*d)/(d*(a + b*x))])/((b*c - a*d)^3*g^2*i^2) - (4*b*B^2*d*n^2*PolyLog[3, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^3*g^2*i^2) - (4*b*B^2*d*n^2*PolyLog[3, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g^2*i^2) - (4*b*B^2*d*n^2*PolyLog[3, 1 + (b*c - a*d)/(d*(a + b*x))])/((b*c - a*d)^3*g^2*i^2)","C",107,31,45,0.6889,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 6688, 6742, 2411, 2344, 2317, 2507, 2488, 2506, 6610, 2500, 2433, 2375, 2374, 6589, 2440, 2434, 2499, 2396, 2302, 30}"
200,1,2207,0,8.1502182,"\int \frac{\left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(a g+b g x)^3 (c i+d i x)^2} \, dx","Int[(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2/((a*g + b*g*x)^3*(c*i + d*i*x)^2),x]","-\frac{b B^2 d^2 n^2 \log ^3(c+d x)}{(b c-a d)^4 g^3 i^2}-\frac{3 b B^2 d^2 n^2 \log ^2(c+d x)}{2 (b c-a d)^4 g^3 i^2}-\frac{3 A b B d^2 n \log ^2(c+d x)}{(b c-a d)^4 g^3 i^2}+\frac{3 b B^2 d^2 n^2 \log (a+b x) \log ^2(c+d x)}{(b c-a d)^4 g^3 i^2}-\frac{3 b B^2 d^2 n \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right) \log ^2(c+d x)}{(b c-a d)^4 g^3 i^2}-\frac{15 b B^2 d^2 n^2 \log (c+d x)}{2 (b c-a d)^4 g^3 i^2}+\frac{3 b B^2 d^2 \log ^2\left((a+b x)^n\right) \log (c+d x)}{(b c-a d)^4 g^3 i^2}-\frac{3 b d^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 \log (c+d x)}{(b c-a d)^4 g^3 i^2}+\frac{3 b B^2 d^2 n^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{(b c-a d)^4 g^3 i^2}+\frac{6 A b B d^2 n \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{(b c-a d)^4 g^3 i^2}-\frac{3 b B d^2 n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \log (c+d x)}{(b c-a d)^4 g^3 i^2}+\frac{6 b B^2 d^2 n \log (a+b x) \log \left((c+d x)^{-n}\right) \log (c+d x)}{(b c-a d)^4 g^3 i^2}-\frac{6 b B^2 d^2 n \log \left(-\frac{d (a+b x)}{b c-a d}\right) \left(\log \left((a+b x)^n\right)-\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+\log \left((c+d x)^{-n}\right)\right) \log (c+d x)}{(b c-a d)^4 g^3 i^2}-\frac{3 b B^2 d^2 n^2 \log ^2(a+b x)}{2 (b c-a d)^4 g^3 i^2}-\frac{3 A b B d^2 n \log ^2(a+b x)}{(b c-a d)^4 g^3 i^2}-\frac{3 b B^2 d^2 \log \left(-\frac{b c-a d}{d (a+b x)}\right) \log ^2\left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{(b c-a d)^4 g^3 i^2}-\frac{3 b B^2 d^2 \log (a+b x) \log ^2\left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{(b c-a d)^4 g^3 i^2}+\frac{3 b d^2 \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(b c-a d)^4 g^3 i^2}+\frac{2 b d \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(b c-a d)^3 g^3 i^2 (a+b x)}+\frac{d^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(b c-a d)^3 g^3 i^2 (c+d x)}-\frac{b \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{2 (b c-a d)^2 g^3 i^2 (a+b x)^2}+\frac{3 b B^2 d^2 \log (a+b x) \log ^2\left((c+d x)^{-n}\right)}{(b c-a d)^4 g^3 i^2}-\frac{3 b B^2 d^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2\left((c+d x)^{-n}\right)}{(b c-a d)^4 g^3 i^2}+\frac{15 b B^2 d^2 n^2 \log (a+b x)}{2 (b c-a d)^4 g^3 i^2}+\frac{3 b B d^2 n \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{(b c-a d)^4 g^3 i^2}+\frac{5 b B d n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{(b c-a d)^3 g^3 i^2 (a+b x)}-\frac{2 B d^2 n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{(b c-a d)^3 g^3 i^2 (c+d x)}-\frac{b B n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{2 (b c-a d)^2 g^3 i^2 (a+b x)^2}-\frac{3 b B^2 d^2 \log ^2\left((a+b x)^n\right) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^4 g^3 i^2}+\frac{3 b B^2 d^2 n^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^4 g^3 i^2}+\frac{6 A b B d^2 n \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^4 g^3 i^2}+\frac{3 b B^2 d^2 n^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^4 g^3 i^2}+\frac{6 A b B d^2 n \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^4 g^3 i^2}-\frac{6 b B^2 d^2 n \log \left((a+b x)^n\right) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^4 g^3 i^2}+\frac{3 b B^2 d^2 n^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^4 g^3 i^2}+\frac{6 A b B d^2 n \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^4 g^3 i^2}+\frac{6 b B^2 d^2 n \log \left((c+d x)^{-n}\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^4 g^3 i^2}-\frac{6 b B^2 d^2 n \left(\log \left((a+b x)^n\right)-\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+\log \left((c+d x)^{-n}\right)\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^4 g^3 i^2}+\frac{6 b B^2 d^2 n \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right) \text{PolyLog}\left(2,\frac{b c-a d}{d (a+b x)}+1\right)}{(b c-a d)^4 g^3 i^2}+\frac{6 b B^2 d^2 n^2 \text{PolyLog}\left(3,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^4 g^3 i^2}+\frac{6 b B^2 d^2 n^2 \text{PolyLog}\left(3,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^4 g^3 i^2}+\frac{6 b B^2 d^2 n^2 \text{PolyLog}\left(3,\frac{b c-a d}{d (a+b x)}+1\right)}{(b c-a d)^4 g^3 i^2}+\frac{11 b B^2 d n^2}{2 (b c-a d)^3 g^3 i^2 (a+b x)}+\frac{2 B^2 d^2 n^2}{(b c-a d)^3 g^3 i^2 (c+d x)}-\frac{b B^2 n^2}{4 (b c-a d)^2 g^3 i^2 (a+b x)^2}","-\frac{b^3 (c+d x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{2 g^3 i^2 (a+b x)^2 (b c-a d)^4}-\frac{b^3 B n (c+d x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 g^3 i^2 (a+b x)^2 (b c-a d)^4}+\frac{3 b^2 d (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{g^3 i^2 (a+b x) (b c-a d)^4}+\frac{6 b^2 B d n (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^3 i^2 (a+b x) (b c-a d)^4}+\frac{b d^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^3}{B g^3 i^2 n (b c-a d)^4}-\frac{d^3 (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{g^3 i^2 (c+d x) (b c-a d)^4}+\frac{2 A B d^3 n (a+b x)}{g^3 i^2 (c+d x) (b c-a d)^4}-\frac{b^3 B^2 n^2 (c+d x)^2}{4 g^3 i^2 (a+b x)^2 (b c-a d)^4}+\frac{6 b^2 B^2 d n^2 (c+d x)}{g^3 i^2 (a+b x) (b c-a d)^4}+\frac{2 B^2 d^3 n (a+b x) \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{g^3 i^2 (c+d x) (b c-a d)^4}-\frac{2 B^2 d^3 n^2 (a+b x)}{g^3 i^2 (c+d x) (b c-a d)^4}",1,"-(b*B^2*n^2)/(4*(b*c - a*d)^2*g^3*i^2*(a + b*x)^2) + (11*b*B^2*d*n^2)/(2*(b*c - a*d)^3*g^3*i^2*(a + b*x)) + (2*B^2*d^2*n^2)/((b*c - a*d)^3*g^3*i^2*(c + d*x)) + (15*b*B^2*d^2*n^2*Log[a + b*x])/(2*(b*c - a*d)^4*g^3*i^2) - (3*A*b*B*d^2*n*Log[a + b*x]^2)/((b*c - a*d)^4*g^3*i^2) - (3*b*B^2*d^2*n^2*Log[a + b*x]^2)/(2*(b*c - a*d)^4*g^3*i^2) - (3*b*B^2*d^2*Log[-((b*c - a*d)/(d*(a + b*x)))]*Log[e*((a + b*x)/(c + d*x))^n]^2)/((b*c - a*d)^4*g^3*i^2) - (3*b*B^2*d^2*Log[a + b*x]*Log[e*((a + b*x)/(c + d*x))^n]^2)/((b*c - a*d)^4*g^3*i^2) - (b*B*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(2*(b*c - a*d)^2*g^3*i^2*(a + b*x)^2) + (5*b*B*d*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/((b*c - a*d)^3*g^3*i^2*(a + b*x)) - (2*B*d^2*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/((b*c - a*d)^3*g^3*i^2*(c + d*x)) + (3*b*B*d^2*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/((b*c - a*d)^4*g^3*i^2) - (b*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(2*(b*c - a*d)^2*g^3*i^2*(a + b*x)^2) + (2*b*d*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/((b*c - a*d)^3*g^3*i^2*(a + b*x)) + (d^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/((b*c - a*d)^3*g^3*i^2*(c + d*x)) + (3*b*d^2*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/((b*c - a*d)^4*g^3*i^2) - (15*b*B^2*d^2*n^2*Log[c + d*x])/(2*(b*c - a*d)^4*g^3*i^2) + (6*A*b*B*d^2*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^4*g^3*i^2) + (3*b*B^2*d^2*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^4*g^3*i^2) + (3*b*B^2*d^2*Log[(a + b*x)^n]^2*Log[c + d*x])/((b*c - a*d)^4*g^3*i^2) - (3*b*B*d^2*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/((b*c - a*d)^4*g^3*i^2) - (3*b*d^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2*Log[c + d*x])/((b*c - a*d)^4*g^3*i^2) - (3*A*b*B*d^2*n*Log[c + d*x]^2)/((b*c - a*d)^4*g^3*i^2) - (3*b*B^2*d^2*n^2*Log[c + d*x]^2)/(2*(b*c - a*d)^4*g^3*i^2) + (3*b*B^2*d^2*n^2*Log[a + b*x]*Log[c + d*x]^2)/((b*c - a*d)^4*g^3*i^2) - (3*b*B^2*d^2*n*Log[e*((a + b*x)/(c + d*x))^n]*Log[c + d*x]^2)/((b*c - a*d)^4*g^3*i^2) - (b*B^2*d^2*n^2*Log[c + d*x]^3)/((b*c - a*d)^4*g^3*i^2) + (6*A*b*B*d^2*n*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^3*i^2) + (3*b*B^2*d^2*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^3*i^2) - (3*b*B^2*d^2*Log[(a + b*x)^n]^2*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^3*i^2) + (6*b*B^2*d^2*n*Log[a + b*x]*Log[c + d*x]*Log[(c + d*x)^(-n)])/((b*c - a*d)^4*g^3*i^2) + (3*b*B^2*d^2*Log[a + b*x]*Log[(c + d*x)^(-n)]^2)/((b*c - a*d)^4*g^3*i^2) - (3*b*B^2*d^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[(c + d*x)^(-n)]^2)/((b*c - a*d)^4*g^3*i^2) - (6*b*B^2*d^2*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x]*(Log[(a + b*x)^n] - Log[e*((a + b*x)/(c + d*x))^n] + Log[(c + d*x)^(-n)]))/((b*c - a*d)^4*g^3*i^2) + (6*A*b*B*d^2*n*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^4*g^3*i^2) + (3*b*B^2*d^2*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^4*g^3*i^2) - (6*b*B^2*d^2*n*Log[(a + b*x)^n]*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^4*g^3*i^2) + (6*A*b*B*d^2*n*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^3*i^2) + (3*b*B^2*d^2*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^3*i^2) + (6*b*B^2*d^2*n*Log[(c + d*x)^(-n)]*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^3*i^2) - (6*b*B^2*d^2*n*(Log[(a + b*x)^n] - Log[e*((a + b*x)/(c + d*x))^n] + Log[(c + d*x)^(-n)])*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^3*i^2) + (6*b*B^2*d^2*n*Log[e*((a + b*x)/(c + d*x))^n]*PolyLog[2, 1 + (b*c - a*d)/(d*(a + b*x))])/((b*c - a*d)^4*g^3*i^2) + (6*b*B^2*d^2*n^2*PolyLog[3, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^4*g^3*i^2) + (6*b*B^2*d^2*n^2*PolyLog[3, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^3*i^2) + (6*b*B^2*d^2*n^2*PolyLog[3, 1 + (b*c - a*d)/(d*(a + b*x))])/((b*c - a*d)^4*g^3*i^2)","C",135,31,45,0.6889,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 6688, 6742, 2411, 2344, 2317, 2507, 2488, 2506, 6610, 2500, 2433, 2375, 2374, 6589, 2440, 2434, 2499, 2396, 2302, 30}"
201,1,2368,0,9.2913082,"\int \frac{\left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(a g+b g x)^4 (c i+d i x)^2} \, dx","Int[(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2/((a*g + b*g*x)^4*(c*i + d*i*x)^2),x]","\frac{4 b B^2 n^2 \log ^3(c+d x) d^3}{3 (b c-a d)^5 g^4 i^2}+\frac{10 b B^2 n^2 \log ^2(a+b x) d^3}{3 (b c-a d)^5 g^4 i^2}+\frac{4 A b B n \log ^2(a+b x) d^3}{(b c-a d)^5 g^4 i^2}+\frac{4 b B^2 \log \left(-\frac{b c-a d}{d (a+b x)}\right) \log ^2\left(e \left(\frac{a+b x}{c+d x}\right)^n\right) d^3}{(b c-a d)^5 g^4 i^2}+\frac{4 b B^2 \log (a+b x) \log ^2\left(e \left(\frac{a+b x}{c+d x}\right)^n\right) d^3}{(b c-a d)^5 g^4 i^2}-\frac{4 b \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 d^3}{(b c-a d)^5 g^4 i^2}-\frac{\left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 d^3}{(b c-a d)^4 g^4 i^2 (c+d x)}+\frac{10 b B^2 n^2 \log ^2(c+d x) d^3}{3 (b c-a d)^5 g^4 i^2}+\frac{4 A b B n \log ^2(c+d x) d^3}{(b c-a d)^5 g^4 i^2}-\frac{4 b B^2 n^2 \log (a+b x) \log ^2(c+d x) d^3}{(b c-a d)^5 g^4 i^2}+\frac{4 b B^2 n \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right) \log ^2(c+d x) d^3}{(b c-a d)^5 g^4 i^2}-\frac{4 b B^2 \log (a+b x) \log ^2\left((c+d x)^{-n}\right) d^3}{(b c-a d)^5 g^4 i^2}+\frac{4 b B^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2\left((c+d x)^{-n}\right) d^3}{(b c-a d)^5 g^4 i^2}-\frac{110 b B^2 n^2 \log (a+b x) d^3}{9 (b c-a d)^5 g^4 i^2}-\frac{20 b B n \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) d^3}{3 (b c-a d)^5 g^4 i^2}+\frac{2 B n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) d^3}{(b c-a d)^4 g^4 i^2 (c+d x)}+\frac{110 b B^2 n^2 \log (c+d x) d^3}{9 (b c-a d)^5 g^4 i^2}-\frac{4 b B^2 \log ^2\left((a+b x)^n\right) \log (c+d x) d^3}{(b c-a d)^5 g^4 i^2}+\frac{4 b \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 \log (c+d x) d^3}{(b c-a d)^5 g^4 i^2}-\frac{20 b B^2 n^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) d^3}{3 (b c-a d)^5 g^4 i^2}-\frac{8 A b B n \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) d^3}{(b c-a d)^5 g^4 i^2}+\frac{20 b B n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \log (c+d x) d^3}{3 (b c-a d)^5 g^4 i^2}+\frac{4 b B^2 \log ^2\left((a+b x)^n\right) \log \left(\frac{b (c+d x)}{b c-a d}\right) d^3}{(b c-a d)^5 g^4 i^2}-\frac{20 b B^2 n^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) d^3}{3 (b c-a d)^5 g^4 i^2}-\frac{8 A b B n \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) d^3}{(b c-a d)^5 g^4 i^2}-\frac{8 b B^2 n \log (a+b x) \log (c+d x) \log \left((c+d x)^{-n}\right) d^3}{(b c-a d)^5 g^4 i^2}+\frac{8 b B^2 n \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) \left(\log \left((a+b x)^n\right)-\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+\log \left((c+d x)^{-n}\right)\right) d^3}{(b c-a d)^5 g^4 i^2}-\frac{20 b B^2 n^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) d^3}{3 (b c-a d)^5 g^4 i^2}-\frac{8 A b B n \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) d^3}{(b c-a d)^5 g^4 i^2}+\frac{8 b B^2 n \log \left((a+b x)^n\right) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) d^3}{(b c-a d)^5 g^4 i^2}-\frac{20 b B^2 n^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) d^3}{3 (b c-a d)^5 g^4 i^2}-\frac{8 A b B n \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) d^3}{(b c-a d)^5 g^4 i^2}-\frac{8 b B^2 n \log \left((c+d x)^{-n}\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) d^3}{(b c-a d)^5 g^4 i^2}+\frac{8 b B^2 n \left(\log \left((a+b x)^n\right)-\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+\log \left((c+d x)^{-n}\right)\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) d^3}{(b c-a d)^5 g^4 i^2}-\frac{8 b B^2 n \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right) \text{PolyLog}\left(2,\frac{b c-a d}{d (a+b x)}+1\right) d^3}{(b c-a d)^5 g^4 i^2}-\frac{8 b B^2 n^2 \text{PolyLog}\left(3,-\frac{d (a+b x)}{b c-a d}\right) d^3}{(b c-a d)^5 g^4 i^2}-\frac{8 b B^2 n^2 \text{PolyLog}\left(3,\frac{b (c+d x)}{b c-a d}\right) d^3}{(b c-a d)^5 g^4 i^2}-\frac{8 b B^2 n^2 \text{PolyLog}\left(3,\frac{b c-a d}{d (a+b x)}+1\right) d^3}{(b c-a d)^5 g^4 i^2}-\frac{2 B^2 n^2 d^3}{(b c-a d)^4 g^4 i^2 (c+d x)}-\frac{3 b \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 d^2}{(b c-a d)^4 g^4 i^2 (a+b x)}-\frac{26 b B n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) d^2}{3 (b c-a d)^4 g^4 i^2 (a+b x)}-\frac{92 b B^2 n^2 d^2}{9 (b c-a d)^4 g^4 i^2 (a+b x)}+\frac{b \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 d}{(b c-a d)^3 g^4 i^2 (a+b x)^2}+\frac{4 b B n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) d}{3 (b c-a d)^3 g^4 i^2 (a+b x)^2}+\frac{7 b B^2 n^2 d}{9 (b c-a d)^3 g^4 i^2 (a+b x)^2}-\frac{b \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{3 (b c-a d)^2 g^4 i^2 (a+b x)^3}-\frac{2 b B n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{9 (b c-a d)^2 g^4 i^2 (a+b x)^3}-\frac{2 b B^2 n^2}{27 (b c-a d)^2 g^4 i^2 (a+b x)^3}","-\frac{6 b^2 d^2 (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{g^4 i^2 (a+b x) (b c-a d)^5}-\frac{12 b^2 B d^2 n (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^4 i^2 (a+b x) (b c-a d)^5}-\frac{b^4 (c+d x)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{3 g^4 i^2 (a+b x)^3 (b c-a d)^5}-\frac{2 b^4 B n (c+d x)^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{9 g^4 i^2 (a+b x)^3 (b c-a d)^5}+\frac{2 b^3 d (c+d x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{g^4 i^2 (a+b x)^2 (b c-a d)^5}+\frac{2 b^3 B d n (c+d x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^4 i^2 (a+b x)^2 (b c-a d)^5}-\frac{4 b d^3 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^3}{3 B g^4 i^2 n (b c-a d)^5}+\frac{d^4 (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{g^4 i^2 (c+d x) (b c-a d)^5}-\frac{2 A B d^4 n (a+b x)}{g^4 i^2 (c+d x) (b c-a d)^5}-\frac{12 b^2 B^2 d^2 n^2 (c+d x)}{g^4 i^2 (a+b x) (b c-a d)^5}-\frac{2 b^4 B^2 n^2 (c+d x)^3}{27 g^4 i^2 (a+b x)^3 (b c-a d)^5}+\frac{b^3 B^2 d n^2 (c+d x)^2}{g^4 i^2 (a+b x)^2 (b c-a d)^5}-\frac{2 B^2 d^4 n (a+b x) \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{g^4 i^2 (c+d x) (b c-a d)^5}+\frac{2 B^2 d^4 n^2 (a+b x)}{g^4 i^2 (c+d x) (b c-a d)^5}",1,"(-2*b*B^2*n^2)/(27*(b*c - a*d)^2*g^4*i^2*(a + b*x)^3) + (7*b*B^2*d*n^2)/(9*(b*c - a*d)^3*g^4*i^2*(a + b*x)^2) - (92*b*B^2*d^2*n^2)/(9*(b*c - a*d)^4*g^4*i^2*(a + b*x)) - (2*B^2*d^3*n^2)/((b*c - a*d)^4*g^4*i^2*(c + d*x)) - (110*b*B^2*d^3*n^2*Log[a + b*x])/(9*(b*c - a*d)^5*g^4*i^2) + (4*A*b*B*d^3*n*Log[a + b*x]^2)/((b*c - a*d)^5*g^4*i^2) + (10*b*B^2*d^3*n^2*Log[a + b*x]^2)/(3*(b*c - a*d)^5*g^4*i^2) + (4*b*B^2*d^3*Log[-((b*c - a*d)/(d*(a + b*x)))]*Log[e*((a + b*x)/(c + d*x))^n]^2)/((b*c - a*d)^5*g^4*i^2) + (4*b*B^2*d^3*Log[a + b*x]*Log[e*((a + b*x)/(c + d*x))^n]^2)/((b*c - a*d)^5*g^4*i^2) - (2*b*B*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(9*(b*c - a*d)^2*g^4*i^2*(a + b*x)^3) + (4*b*B*d*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(3*(b*c - a*d)^3*g^4*i^2*(a + b*x)^2) - (26*b*B*d^2*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(3*(b*c - a*d)^4*g^4*i^2*(a + b*x)) + (2*B*d^3*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/((b*c - a*d)^4*g^4*i^2*(c + d*x)) - (20*b*B*d^3*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(3*(b*c - a*d)^5*g^4*i^2) - (b*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(3*(b*c - a*d)^2*g^4*i^2*(a + b*x)^3) + (b*d*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/((b*c - a*d)^3*g^4*i^2*(a + b*x)^2) - (3*b*d^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/((b*c - a*d)^4*g^4*i^2*(a + b*x)) - (d^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/((b*c - a*d)^4*g^4*i^2*(c + d*x)) - (4*b*d^3*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/((b*c - a*d)^5*g^4*i^2) + (110*b*B^2*d^3*n^2*Log[c + d*x])/(9*(b*c - a*d)^5*g^4*i^2) - (8*A*b*B*d^3*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^5*g^4*i^2) - (20*b*B^2*d^3*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(3*(b*c - a*d)^5*g^4*i^2) - (4*b*B^2*d^3*Log[(a + b*x)^n]^2*Log[c + d*x])/((b*c - a*d)^5*g^4*i^2) + (20*b*B*d^3*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/(3*(b*c - a*d)^5*g^4*i^2) + (4*b*d^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2*Log[c + d*x])/((b*c - a*d)^5*g^4*i^2) + (4*A*b*B*d^3*n*Log[c + d*x]^2)/((b*c - a*d)^5*g^4*i^2) + (10*b*B^2*d^3*n^2*Log[c + d*x]^2)/(3*(b*c - a*d)^5*g^4*i^2) - (4*b*B^2*d^3*n^2*Log[a + b*x]*Log[c + d*x]^2)/((b*c - a*d)^5*g^4*i^2) + (4*b*B^2*d^3*n*Log[e*((a + b*x)/(c + d*x))^n]*Log[c + d*x]^2)/((b*c - a*d)^5*g^4*i^2) + (4*b*B^2*d^3*n^2*Log[c + d*x]^3)/(3*(b*c - a*d)^5*g^4*i^2) - (8*A*b*B*d^3*n*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^5*g^4*i^2) - (20*b*B^2*d^3*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(3*(b*c - a*d)^5*g^4*i^2) + (4*b*B^2*d^3*Log[(a + b*x)^n]^2*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^5*g^4*i^2) - (8*b*B^2*d^3*n*Log[a + b*x]*Log[c + d*x]*Log[(c + d*x)^(-n)])/((b*c - a*d)^5*g^4*i^2) - (4*b*B^2*d^3*Log[a + b*x]*Log[(c + d*x)^(-n)]^2)/((b*c - a*d)^5*g^4*i^2) + (4*b*B^2*d^3*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[(c + d*x)^(-n)]^2)/((b*c - a*d)^5*g^4*i^2) + (8*b*B^2*d^3*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x]*(Log[(a + b*x)^n] - Log[e*((a + b*x)/(c + d*x))^n] + Log[(c + d*x)^(-n)]))/((b*c - a*d)^5*g^4*i^2) - (8*A*b*B*d^3*n*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^5*g^4*i^2) - (20*b*B^2*d^3*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(3*(b*c - a*d)^5*g^4*i^2) + (8*b*B^2*d^3*n*Log[(a + b*x)^n]*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^5*g^4*i^2) - (8*A*b*B*d^3*n*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^5*g^4*i^2) - (20*b*B^2*d^3*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(3*(b*c - a*d)^5*g^4*i^2) - (8*b*B^2*d^3*n*Log[(c + d*x)^(-n)]*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^5*g^4*i^2) + (8*b*B^2*d^3*n*(Log[(a + b*x)^n] - Log[e*((a + b*x)/(c + d*x))^n] + Log[(c + d*x)^(-n)])*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^5*g^4*i^2) - (8*b*B^2*d^3*n*Log[e*((a + b*x)/(c + d*x))^n]*PolyLog[2, 1 + (b*c - a*d)/(d*(a + b*x))])/((b*c - a*d)^5*g^4*i^2) - (8*b*B^2*d^3*n^2*PolyLog[3, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^5*g^4*i^2) - (8*b*B^2*d^3*n^2*PolyLog[3, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^5*g^4*i^2) - (8*b*B^2*d^3*n^2*PolyLog[3, 1 + (b*c - a*d)/(d*(a + b*x))])/((b*c - a*d)^5*g^4*i^2)","C",167,31,45,0.6889,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 6688, 6742, 2411, 2344, 2317, 2507, 2488, 2506, 6610, 2500, 2433, 2375, 2374, 6589, 2440, 2434, 2499, 2396, 2302, 30}"
202,1,2026,0,6.2009274,"\int \frac{(a g+b g x)^3 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(c i+d i x)^3} \, dx","Int[((a*g + b*g*x)^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(c*i + d*i*x)^3,x]","-\frac{b^2 B^2 (b c-a d) n^2 \log ^3(c+d x) g^3}{d^4 i^3}-\frac{5 b^2 B^2 (b c-a d) n^2 \log ^2(a+b x) g^3}{2 d^4 i^3}-\frac{a b^2 B^2 n^2 \log ^2(a+b x) g^3}{d^3 i^3}+\frac{b^3 x \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 g^3}{d^3 i^3}-\frac{3 b (b c-a d)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 g^3}{d^4 i^3 (c+d x)}+\frac{(b c-a d)^3 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 g^3}{2 d^4 i^3 (c+d x)^2}-\frac{5 b^2 B^2 (b c-a d) n^2 \log ^2(c+d x) g^3}{2 d^4 i^3}-\frac{b^3 B^2 c n^2 \log ^2(c+d x) g^3}{d^4 i^3}-\frac{3 A b^2 B (b c-a d) n \log ^2(c+d x) g^3}{d^4 i^3}+\frac{3 b^2 B^2 (b c-a d) n^2 \log (a+b x) \log ^2(c+d x) g^3}{d^4 i^3}-\frac{3 b^2 B^2 (b c-a d) n \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right) \log ^2(c+d x) g^3}{d^4 i^3}+\frac{3 b^2 B^2 (b c-a d) \log (a+b x) \log ^2\left((c+d x)^{-n}\right) g^3}{d^4 i^3}-\frac{3 b^2 B^2 (b c-a d) \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2\left((c+d x)^{-n}\right) g^3}{d^4 i^3}-\frac{9 b^2 B^2 (b c-a d) n^2 \log (a+b x) g^3}{2 d^4 i^3}+\frac{5 b^2 B (b c-a d) n \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) g^3}{d^4 i^3}+\frac{2 a b^2 B n \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) g^3}{d^3 i^3}+\frac{5 b B (b c-a d)^2 n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) g^3}{d^4 i^3 (c+d x)}-\frac{B (b c-a d)^3 n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) g^3}{2 d^4 i^3 (c+d x)^2}+\frac{9 b^2 B^2 (b c-a d) n^2 \log (c+d x) g^3}{2 d^4 i^3}+\frac{3 b^2 B^2 (b c-a d) \log ^2\left((a+b x)^n\right) \log (c+d x) g^3}{d^4 i^3}-\frac{3 b^2 (b c-a d) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 \log (c+d x) g^3}{d^4 i^3}+\frac{5 b^2 B^2 (b c-a d) n^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) g^3}{d^4 i^3}+\frac{2 b^3 B^2 c n^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) g^3}{d^4 i^3}+\frac{6 A b^2 B (b c-a d) n \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) g^3}{d^4 i^3}-\frac{5 b^2 B (b c-a d) n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \log (c+d x) g^3}{d^4 i^3}-\frac{2 b^3 B c n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \log (c+d x) g^3}{d^4 i^3}-\frac{3 b^2 B^2 (b c-a d) \log ^2\left((a+b x)^n\right) \log \left(\frac{b (c+d x)}{b c-a d}\right) g^3}{d^4 i^3}+\frac{5 b^2 B^2 (b c-a d) n^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) g^3}{d^4 i^3}+\frac{2 a b^2 B^2 n^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) g^3}{d^3 i^3}+\frac{6 b^2 B^2 (b c-a d) n \log (a+b x) \log (c+d x) \log \left((c+d x)^{-n}\right) g^3}{d^4 i^3}-\frac{6 b^2 B^2 (b c-a d) n \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) \left(\log \left((a+b x)^n\right)-\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+\log \left((c+d x)^{-n}\right)\right) g^3}{d^4 i^3}+\frac{5 b^2 B^2 (b c-a d) n^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) g^3}{d^4 i^3}+\frac{2 a b^2 B^2 n^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) g^3}{d^3 i^3}-\frac{6 b^2 B^2 (b c-a d) n \log \left((a+b x)^n\right) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) g^3}{d^4 i^3}+\frac{5 b^2 B^2 (b c-a d) n^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) g^3}{d^4 i^3}+\frac{2 b^3 B^2 c n^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) g^3}{d^4 i^3}+\frac{6 A b^2 B (b c-a d) n \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) g^3}{d^4 i^3}+\frac{6 b^2 B^2 (b c-a d) n \log \left((c+d x)^{-n}\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) g^3}{d^4 i^3}-\frac{6 b^2 B^2 (b c-a d) n \left(\log \left((a+b x)^n\right)-\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+\log \left((c+d x)^{-n}\right)\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) g^3}{d^4 i^3}+\frac{6 b^2 B^2 (b c-a d) n^2 \text{PolyLog}\left(3,-\frac{d (a+b x)}{b c-a d}\right) g^3}{d^4 i^3}+\frac{6 b^2 B^2 (b c-a d) n^2 \text{PolyLog}\left(3,\frac{b (c+d x)}{b c-a d}\right) g^3}{d^4 i^3}-\frac{9 b B^2 (b c-a d)^2 n^2 g^3}{2 d^4 i^3 (c+d x)}+\frac{B^2 (b c-a d)^3 n^2 g^3}{4 d^4 i^3 (c+d x)^2}","\frac{6 b^2 B g^3 n (b c-a d) \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{d^4 i^3}+\frac{2 b^2 B^2 g^3 n^2 (b c-a d) \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right)}{d^4 i^3}-\frac{6 b^2 B^2 g^3 n^2 (b c-a d) \text{PolyLog}\left(3,\frac{d (a+b x)}{b (c+d x)}\right)}{d^4 i^3}+\frac{b^2 g^3 (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{d^3 i^3}+\frac{3 b^2 g^3 (b c-a d) \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{d^4 i^3}+\frac{2 b^2 B g^3 n (b c-a d) \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{d^4 i^3}+\frac{2 b g^3 (a+b x) (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{d^3 i^3 (c+d x)}+\frac{g^3 (a+b x)^2 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{2 d^2 i^3 (c+d x)^2}-\frac{B g^3 n (a+b x)^2 (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 d^2 i^3 (c+d x)^2}-\frac{4 A b B g^3 n (a+b x) (b c-a d)}{d^3 i^3 (c+d x)}-\frac{4 b B^2 g^3 n (a+b x) (b c-a d) \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{d^3 i^3 (c+d x)}+\frac{4 b B^2 g^3 n^2 (a+b x) (b c-a d)}{d^3 i^3 (c+d x)}+\frac{B^2 g^3 n^2 (a+b x)^2 (b c-a d)}{4 d^2 i^3 (c+d x)^2}",1,"(B^2*(b*c - a*d)^3*g^3*n^2)/(4*d^4*i^3*(c + d*x)^2) - (9*b*B^2*(b*c - a*d)^2*g^3*n^2)/(2*d^4*i^3*(c + d*x)) - (9*b^2*B^2*(b*c - a*d)*g^3*n^2*Log[a + b*x])/(2*d^4*i^3) - (a*b^2*B^2*g^3*n^2*Log[a + b*x]^2)/(d^3*i^3) - (5*b^2*B^2*(b*c - a*d)*g^3*n^2*Log[a + b*x]^2)/(2*d^4*i^3) - (B*(b*c - a*d)^3*g^3*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(2*d^4*i^3*(c + d*x)^2) + (5*b*B*(b*c - a*d)^2*g^3*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(d^4*i^3*(c + d*x)) + (2*a*b^2*B*g^3*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(d^3*i^3) + (5*b^2*B*(b*c - a*d)*g^3*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(d^4*i^3) + (b^3*g^3*x*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(d^3*i^3) + ((b*c - a*d)^3*g^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(2*d^4*i^3*(c + d*x)^2) - (3*b*(b*c - a*d)^2*g^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(d^4*i^3*(c + d*x)) + (9*b^2*B^2*(b*c - a*d)*g^3*n^2*Log[c + d*x])/(2*d^4*i^3) + (6*A*b^2*B*(b*c - a*d)*g^3*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^4*i^3) + (2*b^3*B^2*c*g^3*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^4*i^3) + (5*b^2*B^2*(b*c - a*d)*g^3*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^4*i^3) + (3*b^2*B^2*(b*c - a*d)*g^3*Log[(a + b*x)^n]^2*Log[c + d*x])/(d^4*i^3) - (2*b^3*B*c*g^3*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/(d^4*i^3) - (5*b^2*B*(b*c - a*d)*g^3*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/(d^4*i^3) - (3*b^2*(b*c - a*d)*g^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2*Log[c + d*x])/(d^4*i^3) - (3*A*b^2*B*(b*c - a*d)*g^3*n*Log[c + d*x]^2)/(d^4*i^3) - (b^3*B^2*c*g^3*n^2*Log[c + d*x]^2)/(d^4*i^3) - (5*b^2*B^2*(b*c - a*d)*g^3*n^2*Log[c + d*x]^2)/(2*d^4*i^3) + (3*b^2*B^2*(b*c - a*d)*g^3*n^2*Log[a + b*x]*Log[c + d*x]^2)/(d^4*i^3) - (3*b^2*B^2*(b*c - a*d)*g^3*n*Log[e*((a + b*x)/(c + d*x))^n]*Log[c + d*x]^2)/(d^4*i^3) - (b^2*B^2*(b*c - a*d)*g^3*n^2*Log[c + d*x]^3)/(d^4*i^3) + (2*a*b^2*B^2*g^3*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(d^3*i^3) + (5*b^2*B^2*(b*c - a*d)*g^3*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(d^4*i^3) - (3*b^2*B^2*(b*c - a*d)*g^3*Log[(a + b*x)^n]^2*Log[(b*(c + d*x))/(b*c - a*d)])/(d^4*i^3) + (6*b^2*B^2*(b*c - a*d)*g^3*n*Log[a + b*x]*Log[c + d*x]*Log[(c + d*x)^(-n)])/(d^4*i^3) + (3*b^2*B^2*(b*c - a*d)*g^3*Log[a + b*x]*Log[(c + d*x)^(-n)]^2)/(d^4*i^3) - (3*b^2*B^2*(b*c - a*d)*g^3*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[(c + d*x)^(-n)]^2)/(d^4*i^3) - (6*b^2*B^2*(b*c - a*d)*g^3*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x]*(Log[(a + b*x)^n] - Log[e*((a + b*x)/(c + d*x))^n] + Log[(c + d*x)^(-n)]))/(d^4*i^3) + (2*a*b^2*B^2*g^3*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(d^3*i^3) + (5*b^2*B^2*(b*c - a*d)*g^3*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(d^4*i^3) - (6*b^2*B^2*(b*c - a*d)*g^3*n*Log[(a + b*x)^n]*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(d^4*i^3) + (6*A*b^2*B*(b*c - a*d)*g^3*n*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^4*i^3) + (2*b^3*B^2*c*g^3*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^4*i^3) + (5*b^2*B^2*(b*c - a*d)*g^3*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^4*i^3) + (6*b^2*B^2*(b*c - a*d)*g^3*n*Log[(c + d*x)^(-n)]*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^4*i^3) - (6*b^2*B^2*(b*c - a*d)*g^3*n*(Log[(a + b*x)^n] - Log[e*((a + b*x)/(c + d*x))^n] + Log[(c + d*x)^(-n)])*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^4*i^3) + (6*b^2*B^2*(b*c - a*d)*g^3*n^2*PolyLog[3, -((d*(a + b*x))/(b*c - a*d))])/(d^4*i^3) + (6*b^2*B^2*(b*c - a*d)*g^3*n^2*PolyLog[3, (b*(c + d*x))/(b*c - a*d)])/(d^4*i^3)","B",117,26,45,0.5778,1,"{2528, 2523, 12, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 2525, 44, 6688, 6742, 2500, 2433, 2375, 2317, 2374, 6589, 2440, 2434, 2499, 2396, 2302, 30}"
203,1,1435,0,5.1230886,"\int \frac{(a g+b g x)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(c i+d i x)^3} \, dx","Int[((a*g + b*g*x)^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(c*i + d*i*x)^3,x]","\frac{b^2 B^2 g^2 n^2 \log ^3(c+d x)}{3 d^3 i^3}+\frac{3 b^2 B^2 g^2 n^2 \log ^2(c+d x)}{2 d^3 i^3}+\frac{A b^2 B g^2 n \log ^2(c+d x)}{d^3 i^3}-\frac{b^2 B^2 g^2 n^2 \log (a+b x) \log ^2(c+d x)}{d^3 i^3}+\frac{b^2 B^2 g^2 n \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right) \log ^2(c+d x)}{d^3 i^3}-\frac{5 b^2 B^2 g^2 n^2 \log (c+d x)}{2 d^3 i^3}-\frac{b^2 B^2 g^2 \log ^2\left((a+b x)^n\right) \log (c+d x)}{d^3 i^3}+\frac{b^2 g^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 \log (c+d x)}{d^3 i^3}-\frac{3 b^2 B^2 g^2 n^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{d^3 i^3}-\frac{2 A b^2 B g^2 n \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{d^3 i^3}+\frac{3 b^2 B g^2 n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \log (c+d x)}{d^3 i^3}-\frac{2 b^2 B^2 g^2 n \log (a+b x) \log \left((c+d x)^{-n}\right) \log (c+d x)}{d^3 i^3}+\frac{2 b^2 B^2 g^2 n \log \left(-\frac{d (a+b x)}{b c-a d}\right) \left(\log \left((a+b x)^n\right)-\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+\log \left((c+d x)^{-n}\right)\right) \log (c+d x)}{d^3 i^3}+\frac{3 b^2 B^2 g^2 n^2 \log ^2(a+b x)}{2 d^3 i^3}+\frac{2 b (b c-a d) g^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{d^3 i^3 (c+d x)}-\frac{(b c-a d)^2 g^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{2 d^3 i^3 (c+d x)^2}-\frac{b^2 B^2 g^2 \log (a+b x) \log ^2\left((c+d x)^{-n}\right)}{d^3 i^3}+\frac{b^2 B^2 g^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2\left((c+d x)^{-n}\right)}{d^3 i^3}+\frac{5 b^2 B^2 g^2 n^2 \log (a+b x)}{2 d^3 i^3}-\frac{3 b^2 B g^2 n \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{d^3 i^3}-\frac{3 b B (b c-a d) g^2 n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{d^3 i^3 (c+d x)}+\frac{B (b c-a d)^2 g^2 n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{2 d^3 i^3 (c+d x)^2}+\frac{b^2 B^2 g^2 \log ^2\left((a+b x)^n\right) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{d^3 i^3}-\frac{3 b^2 B^2 g^2 n^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{d^3 i^3}-\frac{3 b^2 B^2 g^2 n^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{d^3 i^3}+\frac{2 b^2 B^2 g^2 n \log \left((a+b x)^n\right) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{d^3 i^3}-\frac{3 b^2 B^2 g^2 n^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^3 i^3}-\frac{2 A b^2 B g^2 n \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^3 i^3}-\frac{2 b^2 B^2 g^2 n \log \left((c+d x)^{-n}\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^3 i^3}+\frac{2 b^2 B^2 g^2 n \left(\log \left((a+b x)^n\right)-\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+\log \left((c+d x)^{-n}\right)\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^3 i^3}-\frac{2 b^2 B^2 g^2 n^2 \text{PolyLog}\left(3,-\frac{d (a+b x)}{b c-a d}\right)}{d^3 i^3}-\frac{2 b^2 B^2 g^2 n^2 \text{PolyLog}\left(3,\frac{b (c+d x)}{b c-a d}\right)}{d^3 i^3}+\frac{5 b B^2 (b c-a d) g^2 n^2}{2 d^3 i^3 (c+d x)}-\frac{B^2 (b c-a d)^2 g^2 n^2}{4 d^3 i^3 (c+d x)^2}","-\frac{2 b^2 B g^2 n \text{PolyLog}\left(2,\frac{d (a+b x)}{b (c+d x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{d^3 i^3}+\frac{2 b^2 B^2 g^2 n^2 \text{PolyLog}\left(3,\frac{d (a+b x)}{b (c+d x)}\right)}{d^3 i^3}-\frac{b^2 g^2 \log \left(\frac{b c-a d}{b (c+d x)}\right) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{d^3 i^3}-\frac{b g^2 (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{d^2 i^3 (c+d x)}+\frac{2 A b B g^2 n (a+b x)}{d^2 i^3 (c+d x)}-\frac{g^2 (a+b x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{2 d i^3 (c+d x)^2}+\frac{B g^2 n (a+b x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 d i^3 (c+d x)^2}+\frac{2 b B^2 g^2 n (a+b x) \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{d^2 i^3 (c+d x)}-\frac{2 b B^2 g^2 n^2 (a+b x)}{d^2 i^3 (c+d x)}-\frac{B^2 g^2 n^2 (a+b x)^2}{4 d i^3 (c+d x)^2}",1,"-(B^2*(b*c - a*d)^2*g^2*n^2)/(4*d^3*i^3*(c + d*x)^2) + (5*b*B^2*(b*c - a*d)*g^2*n^2)/(2*d^3*i^3*(c + d*x)) + (5*b^2*B^2*g^2*n^2*Log[a + b*x])/(2*d^3*i^3) + (3*b^2*B^2*g^2*n^2*Log[a + b*x]^2)/(2*d^3*i^3) + (B*(b*c - a*d)^2*g^2*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(2*d^3*i^3*(c + d*x)^2) - (3*b*B*(b*c - a*d)*g^2*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(d^3*i^3*(c + d*x)) - (3*b^2*B*g^2*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(d^3*i^3) - ((b*c - a*d)^2*g^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(2*d^3*i^3*(c + d*x)^2) + (2*b*(b*c - a*d)*g^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(d^3*i^3*(c + d*x)) - (5*b^2*B^2*g^2*n^2*Log[c + d*x])/(2*d^3*i^3) - (2*A*b^2*B*g^2*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^3*i^3) - (3*b^2*B^2*g^2*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^3*i^3) - (b^2*B^2*g^2*Log[(a + b*x)^n]^2*Log[c + d*x])/(d^3*i^3) + (3*b^2*B*g^2*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/(d^3*i^3) + (b^2*g^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2*Log[c + d*x])/(d^3*i^3) + (A*b^2*B*g^2*n*Log[c + d*x]^2)/(d^3*i^3) + (3*b^2*B^2*g^2*n^2*Log[c + d*x]^2)/(2*d^3*i^3) - (b^2*B^2*g^2*n^2*Log[a + b*x]*Log[c + d*x]^2)/(d^3*i^3) + (b^2*B^2*g^2*n*Log[e*((a + b*x)/(c + d*x))^n]*Log[c + d*x]^2)/(d^3*i^3) + (b^2*B^2*g^2*n^2*Log[c + d*x]^3)/(3*d^3*i^3) - (3*b^2*B^2*g^2*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(d^3*i^3) + (b^2*B^2*g^2*Log[(a + b*x)^n]^2*Log[(b*(c + d*x))/(b*c - a*d)])/(d^3*i^3) - (2*b^2*B^2*g^2*n*Log[a + b*x]*Log[c + d*x]*Log[(c + d*x)^(-n)])/(d^3*i^3) - (b^2*B^2*g^2*Log[a + b*x]*Log[(c + d*x)^(-n)]^2)/(d^3*i^3) + (b^2*B^2*g^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[(c + d*x)^(-n)]^2)/(d^3*i^3) + (2*b^2*B^2*g^2*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x]*(Log[(a + b*x)^n] - Log[e*((a + b*x)/(c + d*x))^n] + Log[(c + d*x)^(-n)]))/(d^3*i^3) - (3*b^2*B^2*g^2*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(d^3*i^3) + (2*b^2*B^2*g^2*n*Log[(a + b*x)^n]*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(d^3*i^3) - (2*A*b^2*B*g^2*n*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^3*i^3) - (3*b^2*B^2*g^2*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^3*i^3) - (2*b^2*B^2*g^2*n*Log[(c + d*x)^(-n)]*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^3*i^3) + (2*b^2*B^2*g^2*n*(Log[(a + b*x)^n] - Log[e*((a + b*x)/(c + d*x))^n] + Log[(c + d*x)^(-n)])*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^3*i^3) - (2*b^2*B^2*g^2*n^2*PolyLog[3, -((d*(a + b*x))/(b*c - a*d))])/(d^3*i^3) - (2*b^2*B^2*g^2*n^2*PolyLog[3, (b*(c + d*x))/(b*c - a*d)])/(d^3*i^3)","B",97,25,45,0.5556,1,"{2528, 2525, 12, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 44, 6688, 6742, 2500, 2433, 2375, 2317, 2374, 6589, 2440, 2434, 2499, 2396, 2302, 30}"
204,1,686,0,1.9964645,"\int \frac{(a g+b g x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(c i+d i x)^3} \, dx","Int[((a*g + b*g*x)*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(c*i + d*i*x)^3,x]","\frac{b^2 B^2 g n^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{d^2 i^3 (b c-a d)}+\frac{b^2 B^2 g n^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d^2 i^3 (b c-a d)}+\frac{b^2 B g n \log (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{d^2 i^3 (b c-a d)}-\frac{b^2 B g n \log (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{d^2 i^3 (b c-a d)}-\frac{b g \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{d^2 i^3 (c+d x)}+\frac{b B g n \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{d^2 i^3 (c+d x)}+\frac{g (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{2 d^2 i^3 (c+d x)^2}-\frac{B g n (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 d^2 i^3 (c+d x)^2}-\frac{b^2 B^2 g n^2 \log ^2(a+b x)}{2 d^2 i^3 (b c-a d)}-\frac{b^2 B^2 g n^2 \log ^2(c+d x)}{2 d^2 i^3 (b c-a d)}-\frac{b^2 B^2 g n^2 \log (a+b x)}{2 d^2 i^3 (b c-a d)}+\frac{b^2 B^2 g n^2 \log (c+d x)}{2 d^2 i^3 (b c-a d)}+\frac{b^2 B^2 g n^2 \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{d^2 i^3 (b c-a d)}+\frac{b^2 B^2 g n^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{d^2 i^3 (b c-a d)}+\frac{B^2 g n^2 (b c-a d)}{4 d^2 i^3 (c+d x)^2}-\frac{b B^2 g n^2}{2 d^2 i^3 (c+d x)}","\frac{g (a+b x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{2 i^3 (c+d x)^2 (b c-a d)}-\frac{B g n (a+b x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 i^3 (c+d x)^2 (b c-a d)}+\frac{B^2 g n^2 (a+b x)^2}{4 i^3 (c+d x)^2 (b c-a d)}",1,"(B^2*(b*c - a*d)*g*n^2)/(4*d^2*i^3*(c + d*x)^2) - (b*B^2*g*n^2)/(2*d^2*i^3*(c + d*x)) - (b^2*B^2*g*n^2*Log[a + b*x])/(2*d^2*(b*c - a*d)*i^3) - (b^2*B^2*g*n^2*Log[a + b*x]^2)/(2*d^2*(b*c - a*d)*i^3) - (B*(b*c - a*d)*g*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(2*d^2*i^3*(c + d*x)^2) + (b*B*g*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(d^2*i^3*(c + d*x)) + (b^2*B*g*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(d^2*(b*c - a*d)*i^3) + ((b*c - a*d)*g*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(2*d^2*i^3*(c + d*x)^2) - (b*g*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(d^2*i^3*(c + d*x)) + (b^2*B^2*g*n^2*Log[c + d*x])/(2*d^2*(b*c - a*d)*i^3) + (b^2*B^2*g*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d^2*(b*c - a*d)*i^3) - (b^2*B*g*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/(d^2*(b*c - a*d)*i^3) - (b^2*B^2*g*n^2*Log[c + d*x]^2)/(2*d^2*(b*c - a*d)*i^3) + (b^2*B^2*g*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(d^2*(b*c - a*d)*i^3) + (b^2*B^2*g*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(d^2*(b*c - a*d)*i^3) + (b^2*B^2*g*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d^2*(b*c - a*d)*i^3)","C",54,11,43,0.2558,1,"{2528, 2525, 12, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 44}"
205,1,626,0,0.8794056,"\int \frac{\left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(c i+d i x)^3} \, dx","Int[(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2/(c*i + d*i*x)^3,x]","\frac{b^2 B^2 n^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{d i^3 (b c-a d)^2}+\frac{b^2 B^2 n^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{d i^3 (b c-a d)^2}+\frac{b^2 B n \log (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{d i^3 (b c-a d)^2}-\frac{b^2 B n \log (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{d i^3 (b c-a d)^2}+\frac{b B n \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{d i^3 (c+d x) (b c-a d)}-\frac{\left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{2 d i^3 (c+d x)^2}+\frac{B n \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 d i^3 (c+d x)^2}-\frac{b^2 B^2 n^2 \log ^2(a+b x)}{2 d i^3 (b c-a d)^2}-\frac{b^2 B^2 n^2 \log ^2(c+d x)}{2 d i^3 (b c-a d)^2}-\frac{3 b^2 B^2 n^2 \log (a+b x)}{2 d i^3 (b c-a d)^2}+\frac{3 b^2 B^2 n^2 \log (c+d x)}{2 d i^3 (b c-a d)^2}+\frac{b^2 B^2 n^2 \log (c+d x) \log \left(-\frac{d (a+b x)}{b c-a d}\right)}{d i^3 (b c-a d)^2}+\frac{b^2 B^2 n^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{d i^3 (b c-a d)^2}-\frac{3 b B^2 n^2}{2 d i^3 (c+d x) (b c-a d)}-\frac{B^2 n^2}{4 d i^3 (c+d x)^2}","\frac{B d n (a+b x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 i^3 (c+d x)^2 (b c-a d)^2}+\frac{b (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{i^3 (c+d x) (b c-a d)^2}-\frac{d (a+b x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{2 i^3 (c+d x)^2 (b c-a d)^2}-\frac{2 A b B n (a+b x)}{i^3 (c+d x) (b c-a d)^2}-\frac{2 b B^2 n (a+b x) \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{i^3 (c+d x) (b c-a d)^2}+\frac{2 b B^2 n^2 (a+b x)}{i^3 (c+d x) (b c-a d)^2}-\frac{B^2 d n^2 (a+b x)^2}{4 i^3 (c+d x)^2 (b c-a d)^2}",1,"-(B^2*n^2)/(4*d*i^3*(c + d*x)^2) - (3*b*B^2*n^2)/(2*d*(b*c - a*d)*i^3*(c + d*x)) - (3*b^2*B^2*n^2*Log[a + b*x])/(2*d*(b*c - a*d)^2*i^3) - (b^2*B^2*n^2*Log[a + b*x]^2)/(2*d*(b*c - a*d)^2*i^3) + (B*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(2*d*i^3*(c + d*x)^2) + (b*B*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(d*(b*c - a*d)*i^3*(c + d*x)) + (b^2*B*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(d*(b*c - a*d)^2*i^3) - (A + B*Log[e*((a + b*x)/(c + d*x))^n])^2/(2*d*i^3*(c + d*x)^2) + (3*b^2*B^2*n^2*Log[c + d*x])/(2*d*(b*c - a*d)^2*i^3) + (b^2*B^2*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(d*(b*c - a*d)^2*i^3) - (b^2*B*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/(d*(b*c - a*d)^2*i^3) - (b^2*B^2*n^2*Log[c + d*x]^2)/(2*d*(b*c - a*d)^2*i^3) + (b^2*B^2*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(d*(b*c - a*d)^2*i^3) + (b^2*B^2*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(d*(b*c - a*d)^2*i^3) + (b^2*B^2*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(d*(b*c - a*d)^2*i^3)","C",28,11,35,0.3143,1,"{2525, 12, 2528, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 44}"
206,1,2025,0,7.0432372,"\int \frac{\left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(a g+b g x) (c i+d i x)^3} \, dx","Int[(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2/((a*g + b*g*x)*(c*i + d*i*x)^3),x]","-\frac{b^2 B^2 n^2 \log ^3(c+d x)}{3 (b c-a d)^3 g i^3}+\frac{3 b^2 B^2 n^2 \log ^2(c+d x)}{2 (b c-a d)^3 g i^3}-\frac{A b^2 B n \log ^2(c+d x)}{(b c-a d)^3 g i^3}+\frac{b^2 B^2 n^2 \log (a+b x) \log ^2(c+d x)}{(b c-a d)^3 g i^3}-\frac{b^2 B^2 n \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right) \log ^2(c+d x)}{(b c-a d)^3 g i^3}-\frac{7 b^2 B^2 n^2 \log (c+d x)}{2 (b c-a d)^3 g i^3}+\frac{b^2 B^2 \log ^2\left((a+b x)^n\right) \log (c+d x)}{(b c-a d)^3 g i^3}-\frac{b^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 \log (c+d x)}{(b c-a d)^3 g i^3}-\frac{3 b^2 B^2 n^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{(b c-a d)^3 g i^3}+\frac{2 A b^2 B n \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{(b c-a d)^3 g i^3}+\frac{3 b^2 B n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \log (c+d x)}{(b c-a d)^3 g i^3}+\frac{2 b^2 B^2 n \log (a+b x) \log \left((c+d x)^{-n}\right) \log (c+d x)}{(b c-a d)^3 g i^3}-\frac{2 b^2 B^2 n \log \left(-\frac{d (a+b x)}{b c-a d}\right) \left(\log \left((a+b x)^n\right)-\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+\log \left((c+d x)^{-n}\right)\right) \log (c+d x)}{(b c-a d)^3 g i^3}+\frac{3 b^2 B^2 n^2 \log ^2(a+b x)}{2 (b c-a d)^3 g i^3}-\frac{A b^2 B n \log ^2(a+b x)}{(b c-a d)^3 g i^3}-\frac{b^2 B^2 \log \left(-\frac{b c-a d}{d (a+b x)}\right) \log ^2\left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{(b c-a d)^3 g i^3}-\frac{b^2 B^2 \log (a+b x) \log ^2\left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{(b c-a d)^3 g i^3}+\frac{b^2 \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(b c-a d)^3 g i^3}+\frac{b \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(b c-a d)^2 g i^3 (c+d x)}+\frac{\left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{2 (b c-a d) g i^3 (c+d x)^2}+\frac{b^2 B^2 \log (a+b x) \log ^2\left((c+d x)^{-n}\right)}{(b c-a d)^3 g i^3}-\frac{b^2 B^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2\left((c+d x)^{-n}\right)}{(b c-a d)^3 g i^3}+\frac{7 b^2 B^2 n^2 \log (a+b x)}{2 (b c-a d)^3 g i^3}-\frac{3 b^2 B n \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{(b c-a d)^3 g i^3}-\frac{3 b B n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{(b c-a d)^2 g i^3 (c+d x)}-\frac{B n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{2 (b c-a d) g i^3 (c+d x)^2}-\frac{b^2 B^2 \log ^2\left((a+b x)^n\right) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^3 g i^3}-\frac{3 b^2 B^2 n^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^3 g i^3}+\frac{2 A b^2 B n \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^3 g i^3}-\frac{3 b^2 B^2 n^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^3 g i^3}+\frac{2 A b^2 B n \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^3 g i^3}-\frac{2 b^2 B^2 n \log \left((a+b x)^n\right) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^3 g i^3}-\frac{3 b^2 B^2 n^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^3 g i^3}+\frac{2 A b^2 B n \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^3 g i^3}+\frac{2 b^2 B^2 n \log \left((c+d x)^{-n}\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^3 g i^3}-\frac{2 b^2 B^2 n \left(\log \left((a+b x)^n\right)-\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+\log \left((c+d x)^{-n}\right)\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^3 g i^3}+\frac{2 b^2 B^2 n \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right) \text{PolyLog}\left(2,\frac{b c-a d}{d (a+b x)}+1\right)}{(b c-a d)^3 g i^3}+\frac{2 b^2 B^2 n^2 \text{PolyLog}\left(3,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^3 g i^3}+\frac{2 b^2 B^2 n^2 \text{PolyLog}\left(3,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^3 g i^3}+\frac{2 b^2 B^2 n^2 \text{PolyLog}\left(3,\frac{b c-a d}{d (a+b x)}+1\right)}{(b c-a d)^3 g i^3}+\frac{7 b B^2 n^2}{2 (b c-a d)^2 g i^3 (c+d x)}+\frac{B^2 n^2}{4 (b c-a d) g i^3 (c+d x)^2}","\frac{b^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^3}{3 B g i^3 n (b c-a d)^3}+\frac{d^2 (a+b x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{2 g i^3 (c+d x)^2 (b c-a d)^3}-\frac{B d^2 n (a+b x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 g i^3 (c+d x)^2 (b c-a d)^3}-\frac{2 b d (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{g i^3 (c+d x) (b c-a d)^3}+\frac{4 A b B d n (a+b x)}{g i^3 (c+d x) (b c-a d)^3}+\frac{B^2 d^2 n^2 (a+b x)^2}{4 g i^3 (c+d x)^2 (b c-a d)^3}+\frac{4 b B^2 d n (a+b x) \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{g i^3 (c+d x) (b c-a d)^3}-\frac{4 b B^2 d n^2 (a+b x)}{g i^3 (c+d x) (b c-a d)^3}",1,"(B^2*n^2)/(4*(b*c - a*d)*g*i^3*(c + d*x)^2) + (7*b*B^2*n^2)/(2*(b*c - a*d)^2*g*i^3*(c + d*x)) + (7*b^2*B^2*n^2*Log[a + b*x])/(2*(b*c - a*d)^3*g*i^3) - (A*b^2*B*n*Log[a + b*x]^2)/((b*c - a*d)^3*g*i^3) + (3*b^2*B^2*n^2*Log[a + b*x]^2)/(2*(b*c - a*d)^3*g*i^3) - (b^2*B^2*Log[-((b*c - a*d)/(d*(a + b*x)))]*Log[e*((a + b*x)/(c + d*x))^n]^2)/((b*c - a*d)^3*g*i^3) - (b^2*B^2*Log[a + b*x]*Log[e*((a + b*x)/(c + d*x))^n]^2)/((b*c - a*d)^3*g*i^3) - (B*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(2*(b*c - a*d)*g*i^3*(c + d*x)^2) - (3*b*B*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/((b*c - a*d)^2*g*i^3*(c + d*x)) - (3*b^2*B*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/((b*c - a*d)^3*g*i^3) + (A + B*Log[e*((a + b*x)/(c + d*x))^n])^2/(2*(b*c - a*d)*g*i^3*(c + d*x)^2) + (b*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/((b*c - a*d)^2*g*i^3*(c + d*x)) + (b^2*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/((b*c - a*d)^3*g*i^3) - (7*b^2*B^2*n^2*Log[c + d*x])/(2*(b*c - a*d)^3*g*i^3) + (2*A*b^2*B*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^3*g*i^3) - (3*b^2*B^2*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^3*g*i^3) + (b^2*B^2*Log[(a + b*x)^n]^2*Log[c + d*x])/((b*c - a*d)^3*g*i^3) + (3*b^2*B*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/((b*c - a*d)^3*g*i^3) - (b^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2*Log[c + d*x])/((b*c - a*d)^3*g*i^3) - (A*b^2*B*n*Log[c + d*x]^2)/((b*c - a*d)^3*g*i^3) + (3*b^2*B^2*n^2*Log[c + d*x]^2)/(2*(b*c - a*d)^3*g*i^3) + (b^2*B^2*n^2*Log[a + b*x]*Log[c + d*x]^2)/((b*c - a*d)^3*g*i^3) - (b^2*B^2*n*Log[e*((a + b*x)/(c + d*x))^n]*Log[c + d*x]^2)/((b*c - a*d)^3*g*i^3) - (b^2*B^2*n^2*Log[c + d*x]^3)/(3*(b*c - a*d)^3*g*i^3) + (2*A*b^2*B*n*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g*i^3) - (3*b^2*B^2*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g*i^3) - (b^2*B^2*Log[(a + b*x)^n]^2*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g*i^3) + (2*b^2*B^2*n*Log[a + b*x]*Log[c + d*x]*Log[(c + d*x)^(-n)])/((b*c - a*d)^3*g*i^3) + (b^2*B^2*Log[a + b*x]*Log[(c + d*x)^(-n)]^2)/((b*c - a*d)^3*g*i^3) - (b^2*B^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[(c + d*x)^(-n)]^2)/((b*c - a*d)^3*g*i^3) - (2*b^2*B^2*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x]*(Log[(a + b*x)^n] - Log[e*((a + b*x)/(c + d*x))^n] + Log[(c + d*x)^(-n)]))/((b*c - a*d)^3*g*i^3) + (2*A*b^2*B*n*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^3*g*i^3) - (3*b^2*B^2*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^3*g*i^3) - (2*b^2*B^2*n*Log[(a + b*x)^n]*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^3*g*i^3) + (2*A*b^2*B*n*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g*i^3) - (3*b^2*B^2*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g*i^3) + (2*b^2*B^2*n*Log[(c + d*x)^(-n)]*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g*i^3) - (2*b^2*B^2*n*(Log[(a + b*x)^n] - Log[e*((a + b*x)/(c + d*x))^n] + Log[(c + d*x)^(-n)])*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g*i^3) + (2*b^2*B^2*n*Log[e*((a + b*x)/(c + d*x))^n]*PolyLog[2, 1 + (b*c - a*d)/(d*(a + b*x))])/((b*c - a*d)^3*g*i^3) + (2*b^2*B^2*n^2*PolyLog[3, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^3*g*i^3) + (2*b^2*B^2*n^2*PolyLog[3, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*g*i^3) + (2*b^2*B^2*n^2*PolyLog[3, 1 + (b*c - a*d)/(d*(a + b*x))])/((b*c - a*d)^3*g*i^3)","C",111,31,45,0.6889,1,"{2528, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 6688, 12, 6742, 2411, 2344, 2317, 2507, 2488, 2506, 6610, 2525, 44, 2500, 2433, 2375, 2374, 6589, 2440, 2434, 2499, 2396, 2302, 30}"
207,1,2207,0,8.1344316,"\int \frac{\left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(a g+b g x)^2 (c i+d i x)^3} \, dx","Int[(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2/((a*g + b*g*x)^2*(c*i + d*i*x)^3),x]","\frac{b^2 B^2 d n^2 \log ^3(c+d x)}{(b c-a d)^4 g^2 i^3}-\frac{3 b^2 B^2 d n^2 \log ^2(c+d x)}{2 (b c-a d)^4 g^2 i^3}+\frac{3 A b^2 B d n \log ^2(c+d x)}{(b c-a d)^4 g^2 i^3}-\frac{3 b^2 B^2 d n^2 \log (a+b x) \log ^2(c+d x)}{(b c-a d)^4 g^2 i^3}+\frac{3 b^2 B^2 d n \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right) \log ^2(c+d x)}{(b c-a d)^4 g^2 i^3}+\frac{15 b^2 B^2 d n^2 \log (c+d x)}{2 (b c-a d)^4 g^2 i^3}-\frac{3 b^2 B^2 d \log ^2\left((a+b x)^n\right) \log (c+d x)}{(b c-a d)^4 g^2 i^3}+\frac{3 b^2 d \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 \log (c+d x)}{(b c-a d)^4 g^2 i^3}+\frac{3 b^2 B^2 d n^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{(b c-a d)^4 g^2 i^3}-\frac{6 A b^2 B d n \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{(b c-a d)^4 g^2 i^3}-\frac{3 b^2 B d n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \log (c+d x)}{(b c-a d)^4 g^2 i^3}-\frac{6 b^2 B^2 d n \log (a+b x) \log \left((c+d x)^{-n}\right) \log (c+d x)}{(b c-a d)^4 g^2 i^3}+\frac{6 b^2 B^2 d n \log \left(-\frac{d (a+b x)}{b c-a d}\right) \left(\log \left((a+b x)^n\right)-\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+\log \left((c+d x)^{-n}\right)\right) \log (c+d x)}{(b c-a d)^4 g^2 i^3}-\frac{3 b^2 B^2 d n^2 \log ^2(a+b x)}{2 (b c-a d)^4 g^2 i^3}+\frac{3 A b^2 B d n \log ^2(a+b x)}{(b c-a d)^4 g^2 i^3}+\frac{3 b^2 B^2 d \log \left(-\frac{b c-a d}{d (a+b x)}\right) \log ^2\left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{(b c-a d)^4 g^2 i^3}+\frac{3 b^2 B^2 d \log (a+b x) \log ^2\left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{(b c-a d)^4 g^2 i^3}-\frac{3 b^2 d \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(b c-a d)^4 g^2 i^3}-\frac{b^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(b c-a d)^3 g^2 i^3 (a+b x)}-\frac{2 b d \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(b c-a d)^3 g^2 i^3 (c+d x)}-\frac{d \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{2 (b c-a d)^2 g^2 i^3 (c+d x)^2}-\frac{3 b^2 B^2 d \log (a+b x) \log ^2\left((c+d x)^{-n}\right)}{(b c-a d)^4 g^2 i^3}+\frac{3 b^2 B^2 d \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2\left((c+d x)^{-n}\right)}{(b c-a d)^4 g^2 i^3}-\frac{15 b^2 B^2 d n^2 \log (a+b x)}{2 (b c-a d)^4 g^2 i^3}+\frac{3 b^2 B d n \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{(b c-a d)^4 g^2 i^3}-\frac{2 b^2 B n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{(b c-a d)^3 g^2 i^3 (a+b x)}+\frac{5 b B d n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{(b c-a d)^3 g^2 i^3 (c+d x)}+\frac{B d n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{2 (b c-a d)^2 g^2 i^3 (c+d x)^2}+\frac{3 b^2 B^2 d \log ^2\left((a+b x)^n\right) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^4 g^2 i^3}+\frac{3 b^2 B^2 d n^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^4 g^2 i^3}-\frac{6 A b^2 B d n \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^4 g^2 i^3}+\frac{3 b^2 B^2 d n^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^4 g^2 i^3}-\frac{6 A b^2 B d n \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^4 g^2 i^3}+\frac{6 b^2 B^2 d n \log \left((a+b x)^n\right) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^4 g^2 i^3}+\frac{3 b^2 B^2 d n^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^4 g^2 i^3}-\frac{6 A b^2 B d n \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^4 g^2 i^3}-\frac{6 b^2 B^2 d n \log \left((c+d x)^{-n}\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^4 g^2 i^3}+\frac{6 b^2 B^2 d n \left(\log \left((a+b x)^n\right)-\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+\log \left((c+d x)^{-n}\right)\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^4 g^2 i^3}-\frac{6 b^2 B^2 d n \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right) \text{PolyLog}\left(2,\frac{b c-a d}{d (a+b x)}+1\right)}{(b c-a d)^4 g^2 i^3}-\frac{6 b^2 B^2 d n^2 \text{PolyLog}\left(3,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^4 g^2 i^3}-\frac{6 b^2 B^2 d n^2 \text{PolyLog}\left(3,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^4 g^2 i^3}-\frac{6 b^2 B^2 d n^2 \text{PolyLog}\left(3,\frac{b c-a d}{d (a+b x)}+1\right)}{(b c-a d)^4 g^2 i^3}-\frac{2 b^2 B^2 n^2}{(b c-a d)^3 g^2 i^3 (a+b x)}-\frac{11 b B^2 d n^2}{2 (b c-a d)^3 g^2 i^3 (c+d x)}-\frac{B^2 d n^2}{4 (b c-a d)^2 g^2 i^3 (c+d x)^2}","-\frac{b^3 (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{g^2 i^3 (a+b x) (b c-a d)^4}-\frac{2 b^3 B n (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^2 i^3 (a+b x) (b c-a d)^4}-\frac{b^2 d \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^3}{B g^2 i^3 n (b c-a d)^4}+\frac{3 b d^2 (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{g^2 i^3 (c+d x) (b c-a d)^4}-\frac{d^3 (a+b x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{2 g^2 i^3 (c+d x)^2 (b c-a d)^4}+\frac{B d^3 n (a+b x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 g^2 i^3 (c+d x)^2 (b c-a d)^4}-\frac{6 A b B d^2 n (a+b x)}{g^2 i^3 (c+d x) (b c-a d)^4}-\frac{2 b^3 B^2 n^2 (c+d x)}{g^2 i^3 (a+b x) (b c-a d)^4}-\frac{6 b B^2 d^2 n (a+b x) \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{g^2 i^3 (c+d x) (b c-a d)^4}+\frac{6 b B^2 d^2 n^2 (a+b x)}{g^2 i^3 (c+d x) (b c-a d)^4}-\frac{B^2 d^3 n^2 (a+b x)^2}{4 g^2 i^3 (c+d x)^2 (b c-a d)^4}",1,"(-2*b^2*B^2*n^2)/((b*c - a*d)^3*g^2*i^3*(a + b*x)) - (B^2*d*n^2)/(4*(b*c - a*d)^2*g^2*i^3*(c + d*x)^2) - (11*b*B^2*d*n^2)/(2*(b*c - a*d)^3*g^2*i^3*(c + d*x)) - (15*b^2*B^2*d*n^2*Log[a + b*x])/(2*(b*c - a*d)^4*g^2*i^3) + (3*A*b^2*B*d*n*Log[a + b*x]^2)/((b*c - a*d)^4*g^2*i^3) - (3*b^2*B^2*d*n^2*Log[a + b*x]^2)/(2*(b*c - a*d)^4*g^2*i^3) + (3*b^2*B^2*d*Log[-((b*c - a*d)/(d*(a + b*x)))]*Log[e*((a + b*x)/(c + d*x))^n]^2)/((b*c - a*d)^4*g^2*i^3) + (3*b^2*B^2*d*Log[a + b*x]*Log[e*((a + b*x)/(c + d*x))^n]^2)/((b*c - a*d)^4*g^2*i^3) - (2*b^2*B*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/((b*c - a*d)^3*g^2*i^3*(a + b*x)) + (B*d*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(2*(b*c - a*d)^2*g^2*i^3*(c + d*x)^2) + (5*b*B*d*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/((b*c - a*d)^3*g^2*i^3*(c + d*x)) + (3*b^2*B*d*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/((b*c - a*d)^4*g^2*i^3) - (b^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/((b*c - a*d)^3*g^2*i^3*(a + b*x)) - (d*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(2*(b*c - a*d)^2*g^2*i^3*(c + d*x)^2) - (2*b*d*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/((b*c - a*d)^3*g^2*i^3*(c + d*x)) - (3*b^2*d*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/((b*c - a*d)^4*g^2*i^3) + (15*b^2*B^2*d*n^2*Log[c + d*x])/(2*(b*c - a*d)^4*g^2*i^3) - (6*A*b^2*B*d*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^4*g^2*i^3) + (3*b^2*B^2*d*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^4*g^2*i^3) - (3*b^2*B^2*d*Log[(a + b*x)^n]^2*Log[c + d*x])/((b*c - a*d)^4*g^2*i^3) - (3*b^2*B*d*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/((b*c - a*d)^4*g^2*i^3) + (3*b^2*d*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2*Log[c + d*x])/((b*c - a*d)^4*g^2*i^3) + (3*A*b^2*B*d*n*Log[c + d*x]^2)/((b*c - a*d)^4*g^2*i^3) - (3*b^2*B^2*d*n^2*Log[c + d*x]^2)/(2*(b*c - a*d)^4*g^2*i^3) - (3*b^2*B^2*d*n^2*Log[a + b*x]*Log[c + d*x]^2)/((b*c - a*d)^4*g^2*i^3) + (3*b^2*B^2*d*n*Log[e*((a + b*x)/(c + d*x))^n]*Log[c + d*x]^2)/((b*c - a*d)^4*g^2*i^3) + (b^2*B^2*d*n^2*Log[c + d*x]^3)/((b*c - a*d)^4*g^2*i^3) - (6*A*b^2*B*d*n*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^2*i^3) + (3*b^2*B^2*d*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^2*i^3) + (3*b^2*B^2*d*Log[(a + b*x)^n]^2*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^2*i^3) - (6*b^2*B^2*d*n*Log[a + b*x]*Log[c + d*x]*Log[(c + d*x)^(-n)])/((b*c - a*d)^4*g^2*i^3) - (3*b^2*B^2*d*Log[a + b*x]*Log[(c + d*x)^(-n)]^2)/((b*c - a*d)^4*g^2*i^3) + (3*b^2*B^2*d*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[(c + d*x)^(-n)]^2)/((b*c - a*d)^4*g^2*i^3) + (6*b^2*B^2*d*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x]*(Log[(a + b*x)^n] - Log[e*((a + b*x)/(c + d*x))^n] + Log[(c + d*x)^(-n)]))/((b*c - a*d)^4*g^2*i^3) - (6*A*b^2*B*d*n*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^4*g^2*i^3) + (3*b^2*B^2*d*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^4*g^2*i^3) + (6*b^2*B^2*d*n*Log[(a + b*x)^n]*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^4*g^2*i^3) - (6*A*b^2*B*d*n*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^2*i^3) + (3*b^2*B^2*d*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^2*i^3) - (6*b^2*B^2*d*n*Log[(c + d*x)^(-n)]*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^2*i^3) + (6*b^2*B^2*d*n*(Log[(a + b*x)^n] - Log[e*((a + b*x)/(c + d*x))^n] + Log[(c + d*x)^(-n)])*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^2*i^3) - (6*b^2*B^2*d*n*Log[e*((a + b*x)/(c + d*x))^n]*PolyLog[2, 1 + (b*c - a*d)/(d*(a + b*x))])/((b*c - a*d)^4*g^2*i^3) - (6*b^2*B^2*d*n^2*PolyLog[3, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^4*g^2*i^3) - (6*b^2*B^2*d*n^2*PolyLog[3, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^4*g^2*i^3) - (6*b^2*B^2*d*n^2*PolyLog[3, 1 + (b*c - a*d)/(d*(a + b*x))])/((b*c - a*d)^4*g^2*i^3)","C",135,31,45,0.6889,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 6688, 6742, 2411, 2344, 2317, 2507, 2488, 2506, 6610, 2500, 2433, 2375, 2374, 6589, 2440, 2434, 2499, 2396, 2302, 30}"
208,1,2041,0,9.2273787,"\int \frac{\left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(a g+b g x)^3 (c i+d i x)^3} \, dx","Int[(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2/((a*g + b*g*x)^3*(c*i + d*i*x)^3),x]","-\frac{2 b^2 B^2 d^2 n^2 \log ^3(c+d x)}{(b c-a d)^5 g^3 i^3}-\frac{6 A b^2 B d^2 n \log ^2(c+d x)}{(b c-a d)^5 g^3 i^3}+\frac{6 b^2 B^2 d^2 n^2 \log (a+b x) \log ^2(c+d x)}{(b c-a d)^5 g^3 i^3}-\frac{6 b^2 B^2 d^2 n \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right) \log ^2(c+d x)}{(b c-a d)^5 g^3 i^3}-\frac{15 b^2 B^2 d^2 n^2 \log (c+d x)}{(b c-a d)^5 g^3 i^3}+\frac{6 b^2 B^2 d^2 \log ^2\left((a+b x)^n\right) \log (c+d x)}{(b c-a d)^5 g^3 i^3}-\frac{6 b^2 d^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 \log (c+d x)}{(b c-a d)^5 g^3 i^3}+\frac{12 A b^2 B d^2 n \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x)}{(b c-a d)^5 g^3 i^3}+\frac{12 b^2 B^2 d^2 n \log (a+b x) \log \left((c+d x)^{-n}\right) \log (c+d x)}{(b c-a d)^5 g^3 i^3}-\frac{12 b^2 B^2 d^2 n \log \left(-\frac{d (a+b x)}{b c-a d}\right) \left(\log \left((a+b x)^n\right)-\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+\log \left((c+d x)^{-n}\right)\right) \log (c+d x)}{(b c-a d)^5 g^3 i^3}-\frac{6 A b^2 B d^2 n \log ^2(a+b x)}{(b c-a d)^5 g^3 i^3}-\frac{6 b^2 B^2 d^2 \log \left(-\frac{b c-a d}{d (a+b x)}\right) \log ^2\left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{(b c-a d)^5 g^3 i^3}-\frac{6 b^2 B^2 d^2 \log (a+b x) \log ^2\left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{(b c-a d)^5 g^3 i^3}+\frac{6 b^2 d^2 \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(b c-a d)^5 g^3 i^3}+\frac{3 b^2 d \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(b c-a d)^4 g^3 i^3 (a+b x)}+\frac{3 b d^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(b c-a d)^4 g^3 i^3 (c+d x)}-\frac{b^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{2 (b c-a d)^3 g^3 i^3 (a+b x)^2}+\frac{d^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{2 (b c-a d)^3 g^3 i^3 (c+d x)^2}+\frac{6 b^2 B^2 d^2 \log (a+b x) \log ^2\left((c+d x)^{-n}\right)}{(b c-a d)^5 g^3 i^3}-\frac{6 b^2 B^2 d^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2\left((c+d x)^{-n}\right)}{(b c-a d)^5 g^3 i^3}+\frac{15 b^2 B^2 d^2 n^2 \log (a+b x)}{(b c-a d)^5 g^3 i^3}+\frac{7 b^2 B d n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{(b c-a d)^4 g^3 i^3 (a+b x)}-\frac{7 b B d^2 n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{(b c-a d)^4 g^3 i^3 (c+d x)}-\frac{b^2 B n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{2 (b c-a d)^3 g^3 i^3 (a+b x)^2}-\frac{B d^2 n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{2 (b c-a d)^3 g^3 i^3 (c+d x)^2}-\frac{6 b^2 B^2 d^2 \log ^2\left((a+b x)^n\right) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^5 g^3 i^3}+\frac{12 A b^2 B d^2 n \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^5 g^3 i^3}+\frac{12 A b^2 B d^2 n \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^5 g^3 i^3}-\frac{12 b^2 B^2 d^2 n \log \left((a+b x)^n\right) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^5 g^3 i^3}+\frac{12 A b^2 B d^2 n \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^5 g^3 i^3}+\frac{12 b^2 B^2 d^2 n \log \left((c+d x)^{-n}\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^5 g^3 i^3}-\frac{12 b^2 B^2 d^2 n \left(\log \left((a+b x)^n\right)-\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+\log \left((c+d x)^{-n}\right)\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^5 g^3 i^3}+\frac{12 b^2 B^2 d^2 n \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right) \text{PolyLog}\left(2,\frac{b c-a d}{d (a+b x)}+1\right)}{(b c-a d)^5 g^3 i^3}+\frac{12 b^2 B^2 d^2 n^2 \text{PolyLog}\left(3,-\frac{d (a+b x)}{b c-a d}\right)}{(b c-a d)^5 g^3 i^3}+\frac{12 b^2 B^2 d^2 n^2 \text{PolyLog}\left(3,\frac{b (c+d x)}{b c-a d}\right)}{(b c-a d)^5 g^3 i^3}+\frac{12 b^2 B^2 d^2 n^2 \text{PolyLog}\left(3,\frac{b c-a d}{d (a+b x)}+1\right)}{(b c-a d)^5 g^3 i^3}+\frac{15 b^2 B^2 d n^2}{2 (b c-a d)^4 g^3 i^3 (a+b x)}+\frac{15 b B^2 d^2 n^2}{2 (b c-a d)^4 g^3 i^3 (c+d x)}-\frac{b^2 B^2 n^2}{4 (b c-a d)^3 g^3 i^3 (a+b x)^2}+\frac{B^2 d^2 n^2}{4 (b c-a d)^3 g^3 i^3 (c+d x)^2}","\frac{2 b^2 d^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^3}{B g^3 i^3 n (b c-a d)^5}-\frac{b^4 (c+d x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{2 g^3 i^3 (a+b x)^2 (b c-a d)^5}-\frac{b^4 B n (c+d x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 g^3 i^3 (a+b x)^2 (b c-a d)^5}+\frac{4 b^3 d (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{g^3 i^3 (a+b x) (b c-a d)^5}+\frac{8 b^3 B d n (c+d x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{g^3 i^3 (a+b x) (b c-a d)^5}-\frac{4 b d^3 (a+b x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{g^3 i^3 (c+d x) (b c-a d)^5}+\frac{d^4 (a+b x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{2 g^3 i^3 (c+d x)^2 (b c-a d)^5}-\frac{B d^4 n (a+b x)^2 \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{2 g^3 i^3 (c+d x)^2 (b c-a d)^5}+\frac{8 A b B d^3 n (a+b x)}{g^3 i^3 (c+d x) (b c-a d)^5}-\frac{b^4 B^2 n^2 (c+d x)^2}{4 g^3 i^3 (a+b x)^2 (b c-a d)^5}+\frac{8 b^3 B^2 d n^2 (c+d x)}{g^3 i^3 (a+b x) (b c-a d)^5}+\frac{8 b B^2 d^3 n (a+b x) \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{g^3 i^3 (c+d x) (b c-a d)^5}-\frac{8 b B^2 d^3 n^2 (a+b x)}{g^3 i^3 (c+d x) (b c-a d)^5}+\frac{B^2 d^4 n^2 (a+b x)^2}{4 g^3 i^3 (c+d x)^2 (b c-a d)^5}",1,"-(b^2*B^2*n^2)/(4*(b*c - a*d)^3*g^3*i^3*(a + b*x)^2) + (15*b^2*B^2*d*n^2)/(2*(b*c - a*d)^4*g^3*i^3*(a + b*x)) + (B^2*d^2*n^2)/(4*(b*c - a*d)^3*g^3*i^3*(c + d*x)^2) + (15*b*B^2*d^2*n^2)/(2*(b*c - a*d)^4*g^3*i^3*(c + d*x)) + (15*b^2*B^2*d^2*n^2*Log[a + b*x])/((b*c - a*d)^5*g^3*i^3) - (6*A*b^2*B*d^2*n*Log[a + b*x]^2)/((b*c - a*d)^5*g^3*i^3) - (6*b^2*B^2*d^2*Log[-((b*c - a*d)/(d*(a + b*x)))]*Log[e*((a + b*x)/(c + d*x))^n]^2)/((b*c - a*d)^5*g^3*i^3) - (6*b^2*B^2*d^2*Log[a + b*x]*Log[e*((a + b*x)/(c + d*x))^n]^2)/((b*c - a*d)^5*g^3*i^3) - (b^2*B*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(2*(b*c - a*d)^3*g^3*i^3*(a + b*x)^2) + (7*b^2*B*d*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/((b*c - a*d)^4*g^3*i^3*(a + b*x)) - (B*d^2*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(2*(b*c - a*d)^3*g^3*i^3*(c + d*x)^2) - (7*b*B*d^2*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/((b*c - a*d)^4*g^3*i^3*(c + d*x)) - (b^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(2*(b*c - a*d)^3*g^3*i^3*(a + b*x)^2) + (3*b^2*d*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/((b*c - a*d)^4*g^3*i^3*(a + b*x)) + (d^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(2*(b*c - a*d)^3*g^3*i^3*(c + d*x)^2) + (3*b*d^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/((b*c - a*d)^4*g^3*i^3*(c + d*x)) + (6*b^2*d^2*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/((b*c - a*d)^5*g^3*i^3) - (15*b^2*B^2*d^2*n^2*Log[c + d*x])/((b*c - a*d)^5*g^3*i^3) + (12*A*b^2*B*d^2*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^5*g^3*i^3) + (6*b^2*B^2*d^2*Log[(a + b*x)^n]^2*Log[c + d*x])/((b*c - a*d)^5*g^3*i^3) - (6*b^2*d^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2*Log[c + d*x])/((b*c - a*d)^5*g^3*i^3) - (6*A*b^2*B*d^2*n*Log[c + d*x]^2)/((b*c - a*d)^5*g^3*i^3) + (6*b^2*B^2*d^2*n^2*Log[a + b*x]*Log[c + d*x]^2)/((b*c - a*d)^5*g^3*i^3) - (6*b^2*B^2*d^2*n*Log[e*((a + b*x)/(c + d*x))^n]*Log[c + d*x]^2)/((b*c - a*d)^5*g^3*i^3) - (2*b^2*B^2*d^2*n^2*Log[c + d*x]^3)/((b*c - a*d)^5*g^3*i^3) + (12*A*b^2*B*d^2*n*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^5*g^3*i^3) - (6*b^2*B^2*d^2*Log[(a + b*x)^n]^2*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^5*g^3*i^3) + (12*b^2*B^2*d^2*n*Log[a + b*x]*Log[c + d*x]*Log[(c + d*x)^(-n)])/((b*c - a*d)^5*g^3*i^3) + (6*b^2*B^2*d^2*Log[a + b*x]*Log[(c + d*x)^(-n)]^2)/((b*c - a*d)^5*g^3*i^3) - (6*b^2*B^2*d^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[(c + d*x)^(-n)]^2)/((b*c - a*d)^5*g^3*i^3) - (12*b^2*B^2*d^2*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x]*(Log[(a + b*x)^n] - Log[e*((a + b*x)/(c + d*x))^n] + Log[(c + d*x)^(-n)]))/((b*c - a*d)^5*g^3*i^3) + (12*A*b^2*B*d^2*n*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^5*g^3*i^3) - (12*b^2*B^2*d^2*n*Log[(a + b*x)^n]*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^5*g^3*i^3) + (12*A*b^2*B*d^2*n*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^5*g^3*i^3) + (12*b^2*B^2*d^2*n*Log[(c + d*x)^(-n)]*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^5*g^3*i^3) - (12*b^2*B^2*d^2*n*(Log[(a + b*x)^n] - Log[e*((a + b*x)/(c + d*x))^n] + Log[(c + d*x)^(-n)])*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^5*g^3*i^3) + (12*b^2*B^2*d^2*n*Log[e*((a + b*x)/(c + d*x))^n]*PolyLog[2, 1 + (b*c - a*d)/(d*(a + b*x))])/((b*c - a*d)^5*g^3*i^3) + (12*b^2*B^2*d^2*n^2*PolyLog[3, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^5*g^3*i^3) + (12*b^2*B^2*d^2*n^2*PolyLog[3, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^5*g^3*i^3) + (12*b^2*B^2*d^2*n^2*PolyLog[3, 1 + (b*c - a*d)/(d*(a + b*x))])/((b*c - a*d)^5*g^3*i^3)","C",163,31,45,0.6889,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 6688, 6742, 2411, 2344, 2317, 2507, 2488, 2506, 6610, 2500, 2433, 2375, 2374, 6589, 2440, 2434, 2499, 2396, 2302, 30}"
209,1,2610,0,10.5109644,"\int \frac{\left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{(a g+b g x)^4 (c i+d i x)^3} \, dx","Int[(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2/((a*g + b*g*x)^4*(c*i + d*i*x)^3),x]","\frac{10 b^2 B^2 n^2 \log ^3(c+d x) d^3}{3 (b c-a d)^6 g^4 i^3}+\frac{10 b^2 B^2 n^2 \log ^2(a+b x) d^3}{3 (b c-a d)^6 g^4 i^3}+\frac{10 A b^2 B n \log ^2(a+b x) d^3}{(b c-a d)^6 g^4 i^3}+\frac{10 b^2 B^2 \log \left(-\frac{b c-a d}{d (a+b x)}\right) \log ^2\left(e \left(\frac{a+b x}{c+d x}\right)^n\right) d^3}{(b c-a d)^6 g^4 i^3}+\frac{10 b^2 B^2 \log (a+b x) \log ^2\left(e \left(\frac{a+b x}{c+d x}\right)^n\right) d^3}{(b c-a d)^6 g^4 i^3}-\frac{10 b^2 \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 d^3}{(b c-a d)^6 g^4 i^3}-\frac{4 b \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 d^3}{(b c-a d)^5 g^4 i^3 (c+d x)}-\frac{\left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 d^3}{2 (b c-a d)^4 g^4 i^3 (c+d x)^2}+\frac{10 b^2 B^2 n^2 \log ^2(c+d x) d^3}{3 (b c-a d)^6 g^4 i^3}+\frac{10 A b^2 B n \log ^2(c+d x) d^3}{(b c-a d)^6 g^4 i^3}-\frac{10 b^2 B^2 n^2 \log (a+b x) \log ^2(c+d x) d^3}{(b c-a d)^6 g^4 i^3}+\frac{10 b^2 B^2 n \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right) \log ^2(c+d x) d^3}{(b c-a d)^6 g^4 i^3}-\frac{10 b^2 B^2 \log (a+b x) \log ^2\left((c+d x)^{-n}\right) d^3}{(b c-a d)^6 g^4 i^3}+\frac{10 b^2 B^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log ^2\left((c+d x)^{-n}\right) d^3}{(b c-a d)^6 g^4 i^3}-\frac{245 b^2 B^2 n^2 \log (a+b x) d^3}{9 (b c-a d)^6 g^4 i^3}-\frac{20 b^2 B n \log (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) d^3}{3 (b c-a d)^6 g^4 i^3}+\frac{9 b B n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) d^3}{(b c-a d)^5 g^4 i^3 (c+d x)}+\frac{B n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) d^3}{2 (b c-a d)^4 g^4 i^3 (c+d x)^2}+\frac{245 b^2 B^2 n^2 \log (c+d x) d^3}{9 (b c-a d)^6 g^4 i^3}-\frac{10 b^2 B^2 \log ^2\left((a+b x)^n\right) \log (c+d x) d^3}{(b c-a d)^6 g^4 i^3}+\frac{10 b^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 \log (c+d x) d^3}{(b c-a d)^6 g^4 i^3}-\frac{20 b^2 B^2 n^2 \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) d^3}{3 (b c-a d)^6 g^4 i^3}-\frac{20 A b^2 B n \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) d^3}{(b c-a d)^6 g^4 i^3}+\frac{20 b^2 B n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \log (c+d x) d^3}{3 (b c-a d)^6 g^4 i^3}+\frac{10 b^2 B^2 \log ^2\left((a+b x)^n\right) \log \left(\frac{b (c+d x)}{b c-a d}\right) d^3}{(b c-a d)^6 g^4 i^3}-\frac{20 b^2 B^2 n^2 \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) d^3}{3 (b c-a d)^6 g^4 i^3}-\frac{20 A b^2 B n \log (a+b x) \log \left(\frac{b (c+d x)}{b c-a d}\right) d^3}{(b c-a d)^6 g^4 i^3}-\frac{20 b^2 B^2 n \log (a+b x) \log (c+d x) \log \left((c+d x)^{-n}\right) d^3}{(b c-a d)^6 g^4 i^3}+\frac{20 b^2 B^2 n \log \left(-\frac{d (a+b x)}{b c-a d}\right) \log (c+d x) \left(\log \left((a+b x)^n\right)-\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+\log \left((c+d x)^{-n}\right)\right) d^3}{(b c-a d)^6 g^4 i^3}-\frac{20 b^2 B^2 n^2 \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) d^3}{3 (b c-a d)^6 g^4 i^3}-\frac{20 A b^2 B n \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) d^3}{(b c-a d)^6 g^4 i^3}+\frac{20 b^2 B^2 n \log \left((a+b x)^n\right) \text{PolyLog}\left(2,-\frac{d (a+b x)}{b c-a d}\right) d^3}{(b c-a d)^6 g^4 i^3}-\frac{20 b^2 B^2 n^2 \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) d^3}{3 (b c-a d)^6 g^4 i^3}-\frac{20 A b^2 B n \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) d^3}{(b c-a d)^6 g^4 i^3}-\frac{20 b^2 B^2 n \log \left((c+d x)^{-n}\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) d^3}{(b c-a d)^6 g^4 i^3}+\frac{20 b^2 B^2 n \left(\log \left((a+b x)^n\right)-\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+\log \left((c+d x)^{-n}\right)\right) \text{PolyLog}\left(2,\frac{b (c+d x)}{b c-a d}\right) d^3}{(b c-a d)^6 g^4 i^3}-\frac{20 b^2 B^2 n \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right) \text{PolyLog}\left(2,\frac{b c-a d}{d (a+b x)}+1\right) d^3}{(b c-a d)^6 g^4 i^3}-\frac{20 b^2 B^2 n^2 \text{PolyLog}\left(3,-\frac{d (a+b x)}{b c-a d}\right) d^3}{(b c-a d)^6 g^4 i^3}-\frac{20 b^2 B^2 n^2 \text{PolyLog}\left(3,\frac{b (c+d x)}{b c-a d}\right) d^3}{(b c-a d)^6 g^4 i^3}-\frac{20 b^2 B^2 n^2 \text{PolyLog}\left(3,\frac{b c-a d}{d (a+b x)}+1\right) d^3}{(b c-a d)^6 g^4 i^3}-\frac{19 b B^2 n^2 d^3}{2 (b c-a d)^5 g^4 i^3 (c+d x)}-\frac{B^2 n^2 d^3}{4 (b c-a d)^4 g^4 i^3 (c+d x)^2}-\frac{6 b^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 d^2}{(b c-a d)^5 g^4 i^3 (a+b x)}-\frac{47 b^2 B n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) d^2}{3 (b c-a d)^5 g^4 i^3 (a+b x)}-\frac{319 b^2 B^2 n^2 d^2}{18 (b c-a d)^5 g^4 i^3 (a+b x)}+\frac{3 b^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 d}{2 (b c-a d)^4 g^4 i^3 (a+b x)^2}+\frac{11 b^2 B n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) d}{6 (b c-a d)^4 g^4 i^3 (a+b x)^2}+\frac{37 b^2 B^2 n^2 d}{36 (b c-a d)^4 g^4 i^3 (a+b x)^2}-\frac{b^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{3 (b c-a d)^3 g^4 i^3 (a+b x)^3}-\frac{2 b^2 B n \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{9 (b c-a d)^3 g^4 i^3 (a+b x)^3}-\frac{2 b^2 B^2 n^2}{27 (b c-a d)^3 g^4 i^3 (a+b x)^3}","-\frac{2 B^2 n^2 (c+d x)^3 b^5}{27 (b c-a d)^6 g^4 i^3 (a+b x)^3}-\frac{(c+d x)^3 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 b^5}{3 (b c-a d)^6 g^4 i^3 (a+b x)^3}-\frac{2 B n (c+d x)^3 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) b^5}{9 (b c-a d)^6 g^4 i^3 (a+b x)^3}+\frac{5 B^2 d n^2 (c+d x)^2 b^4}{4 (b c-a d)^6 g^4 i^3 (a+b x)^2}+\frac{5 d (c+d x)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 b^4}{2 (b c-a d)^6 g^4 i^3 (a+b x)^2}+\frac{5 B d n (c+d x)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) b^4}{2 (b c-a d)^6 g^4 i^3 (a+b x)^2}-\frac{10 d^2 (c+d x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 b^3}{(b c-a d)^6 g^4 i^3 (a+b x)}-\frac{20 B^2 d^2 n^2 (c+d x) b^3}{(b c-a d)^6 g^4 i^3 (a+b x)}-\frac{20 B d^2 n (c+d x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) b^3}{(b c-a d)^6 g^4 i^3 (a+b x)}-\frac{10 d^3 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^3 b^2}{3 B (b c-a d)^6 g^4 i^3 n}+\frac{5 d^4 (a+b x) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 b}{(b c-a d)^6 g^4 i^3 (c+d x)}-\frac{10 B^2 d^4 n (a+b x) \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right) b}{(b c-a d)^6 g^4 i^3 (c+d x)}+\frac{10 B^2 d^4 n^2 (a+b x) b}{(b c-a d)^6 g^4 i^3 (c+d x)}-\frac{10 A B d^4 n (a+b x) b}{(b c-a d)^6 g^4 i^3 (c+d x)}-\frac{d^5 (a+b x)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2}{2 (b c-a d)^6 g^4 i^3 (c+d x)^2}+\frac{B d^5 n (a+b x)^2 \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{2 (b c-a d)^6 g^4 i^3 (c+d x)^2}-\frac{B^2 d^5 n^2 (a+b x)^2}{4 (b c-a d)^6 g^4 i^3 (c+d x)^2}",1,"(-2*b^2*B^2*n^2)/(27*(b*c - a*d)^3*g^4*i^3*(a + b*x)^3) + (37*b^2*B^2*d*n^2)/(36*(b*c - a*d)^4*g^4*i^3*(a + b*x)^2) - (319*b^2*B^2*d^2*n^2)/(18*(b*c - a*d)^5*g^4*i^3*(a + b*x)) - (B^2*d^3*n^2)/(4*(b*c - a*d)^4*g^4*i^3*(c + d*x)^2) - (19*b*B^2*d^3*n^2)/(2*(b*c - a*d)^5*g^4*i^3*(c + d*x)) - (245*b^2*B^2*d^3*n^2*Log[a + b*x])/(9*(b*c - a*d)^6*g^4*i^3) + (10*A*b^2*B*d^3*n*Log[a + b*x]^2)/((b*c - a*d)^6*g^4*i^3) + (10*b^2*B^2*d^3*n^2*Log[a + b*x]^2)/(3*(b*c - a*d)^6*g^4*i^3) + (10*b^2*B^2*d^3*Log[-((b*c - a*d)/(d*(a + b*x)))]*Log[e*((a + b*x)/(c + d*x))^n]^2)/((b*c - a*d)^6*g^4*i^3) + (10*b^2*B^2*d^3*Log[a + b*x]*Log[e*((a + b*x)/(c + d*x))^n]^2)/((b*c - a*d)^6*g^4*i^3) - (2*b^2*B*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(9*(b*c - a*d)^3*g^4*i^3*(a + b*x)^3) + (11*b^2*B*d*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(6*(b*c - a*d)^4*g^4*i^3*(a + b*x)^2) - (47*b^2*B*d^2*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(3*(b*c - a*d)^5*g^4*i^3*(a + b*x)) + (B*d^3*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(2*(b*c - a*d)^4*g^4*i^3*(c + d*x)^2) + (9*b*B*d^3*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/((b*c - a*d)^5*g^4*i^3*(c + d*x)) - (20*b^2*B*d^3*n*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n]))/(3*(b*c - a*d)^6*g^4*i^3) - (b^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(3*(b*c - a*d)^3*g^4*i^3*(a + b*x)^3) + (3*b^2*d*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(2*(b*c - a*d)^4*g^4*i^3*(a + b*x)^2) - (6*b^2*d^2*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/((b*c - a*d)^5*g^4*i^3*(a + b*x)) - (d^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/(2*(b*c - a*d)^4*g^4*i^3*(c + d*x)^2) - (4*b*d^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/((b*c - a*d)^5*g^4*i^3*(c + d*x)) - (10*b^2*d^3*Log[a + b*x]*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2)/((b*c - a*d)^6*g^4*i^3) + (245*b^2*B^2*d^3*n^2*Log[c + d*x])/(9*(b*c - a*d)^6*g^4*i^3) - (20*A*b^2*B*d^3*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/((b*c - a*d)^6*g^4*i^3) - (20*b^2*B^2*d^3*n^2*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x])/(3*(b*c - a*d)^6*g^4*i^3) - (10*b^2*B^2*d^3*Log[(a + b*x)^n]^2*Log[c + d*x])/((b*c - a*d)^6*g^4*i^3) + (20*b^2*B*d^3*n*(A + B*Log[e*((a + b*x)/(c + d*x))^n])*Log[c + d*x])/(3*(b*c - a*d)^6*g^4*i^3) + (10*b^2*d^3*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2*Log[c + d*x])/((b*c - a*d)^6*g^4*i^3) + (10*A*b^2*B*d^3*n*Log[c + d*x]^2)/((b*c - a*d)^6*g^4*i^3) + (10*b^2*B^2*d^3*n^2*Log[c + d*x]^2)/(3*(b*c - a*d)^6*g^4*i^3) - (10*b^2*B^2*d^3*n^2*Log[a + b*x]*Log[c + d*x]^2)/((b*c - a*d)^6*g^4*i^3) + (10*b^2*B^2*d^3*n*Log[e*((a + b*x)/(c + d*x))^n]*Log[c + d*x]^2)/((b*c - a*d)^6*g^4*i^3) + (10*b^2*B^2*d^3*n^2*Log[c + d*x]^3)/(3*(b*c - a*d)^6*g^4*i^3) - (20*A*b^2*B*d^3*n*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^6*g^4*i^3) - (20*b^2*B^2*d^3*n^2*Log[a + b*x]*Log[(b*(c + d*x))/(b*c - a*d)])/(3*(b*c - a*d)^6*g^4*i^3) + (10*b^2*B^2*d^3*Log[(a + b*x)^n]^2*Log[(b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^6*g^4*i^3) - (20*b^2*B^2*d^3*n*Log[a + b*x]*Log[c + d*x]*Log[(c + d*x)^(-n)])/((b*c - a*d)^6*g^4*i^3) - (10*b^2*B^2*d^3*Log[a + b*x]*Log[(c + d*x)^(-n)]^2)/((b*c - a*d)^6*g^4*i^3) + (10*b^2*B^2*d^3*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[(c + d*x)^(-n)]^2)/((b*c - a*d)^6*g^4*i^3) + (20*b^2*B^2*d^3*n*Log[-((d*(a + b*x))/(b*c - a*d))]*Log[c + d*x]*(Log[(a + b*x)^n] - Log[e*((a + b*x)/(c + d*x))^n] + Log[(c + d*x)^(-n)]))/((b*c - a*d)^6*g^4*i^3) - (20*A*b^2*B*d^3*n*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^6*g^4*i^3) - (20*b^2*B^2*d^3*n^2*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/(3*(b*c - a*d)^6*g^4*i^3) + (20*b^2*B^2*d^3*n*Log[(a + b*x)^n]*PolyLog[2, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^6*g^4*i^3) - (20*A*b^2*B*d^3*n*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^6*g^4*i^3) - (20*b^2*B^2*d^3*n^2*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/(3*(b*c - a*d)^6*g^4*i^3) - (20*b^2*B^2*d^3*n*Log[(c + d*x)^(-n)]*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^6*g^4*i^3) + (20*b^2*B^2*d^3*n*(Log[(a + b*x)^n] - Log[e*((a + b*x)/(c + d*x))^n] + Log[(c + d*x)^(-n)])*PolyLog[2, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^6*g^4*i^3) - (20*b^2*B^2*d^3*n*Log[e*((a + b*x)/(c + d*x))^n]*PolyLog[2, 1 + (b*c - a*d)/(d*(a + b*x))])/((b*c - a*d)^6*g^4*i^3) - (20*b^2*B^2*d^3*n^2*PolyLog[3, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^6*g^4*i^3) - (20*b^2*B^2*d^3*n^2*PolyLog[3, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^6*g^4*i^3) - (20*b^2*B^2*d^3*n^2*PolyLog[3, 1 + (b*c - a*d)/(d*(a + b*x))])/((b*c - a*d)^6*g^4*i^3)","C",195,31,45,0.6889,1,"{2528, 2525, 12, 44, 2524, 2418, 2390, 2301, 2394, 2393, 2391, 6688, 6742, 2411, 2344, 2317, 2507, 2488, 2506, 6610, 2500, 2433, 2375, 2374, 6589, 2440, 2434, 2499, 2396, 2302, 30}"
210,0,0,0,0.9751218,"\int (a g+b g x)^m (c i+d i x)^{-2-m} \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^p \, dx","Int[(a*g + b*g*x)^m*(c*i + d*i*x)^(-2 - m)*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^p,x]","\int (a g+b g x)^m (c i+d i x)^{-2-m} \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^p \, dx","\frac{(a+b x) e^{-\frac{A (m+1)}{B n}} (g (a+b x))^m (i (c+d x))^{-m} \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)^{-\frac{m+1}{n}} \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^p \left(-\frac{(m+1) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{B n}\right)^{-p} \text{Gamma}\left(p+1,-\frac{(m+1) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{B n}\right)}{i^2 (m+1) (c+d x) (b c-a d)}",1,"Defer[Int][(a*g + b*g*x)^m*(c*i + d*i*x)^(-2 - m)*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^p, x]","F",0,0,0,0,-1,"{}"
211,0,0,0,0.8842806,"\int (a g+b g x)^{-2-m} (c i+d i x)^m \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^p \, dx","Int[(a*g + b*g*x)^(-2 - m)*(c*i + d*i*x)^m*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^p,x]","\int (a g+b g x)^{-2-m} (c i+d i x)^m \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^p \, dx","-\frac{(a+b x) e^{\frac{A (m+1)}{B n}} (g (a+b x))^{-m-2} (i (c+d x))^{m+2} \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)^{\frac{m+1}{n}} \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^p \left(\frac{(m+1) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{B n}\right)^{-p} \text{Gamma}\left(p+1,\frac{(m+1) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{B n}\right)}{i^2 (m+1) (c+d x) (b c-a d)}",1,"Defer[Int][(a*g + b*g*x)^(-2 - m)*(c*i + d*i*x)^m*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^p, x]","F",0,0,0,0,-1,"{}"
212,0,0,0,1.9769494,"\int (a g+b g x)^m (c i+d i x)^{-2-m} \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^3 \, dx","Int[(a*g + b*g*x)^m*(c*i + d*i*x)^(-2 - m)*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^3,x]","\int (a g+b g x)^m (c i+d i x)^{-2-m} \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^3 \, dx","\frac{6 B^2 n^2 (a+b x) (g (a+b x))^m (i (c+d x))^{-m} \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{i^2 (m+1)^3 (c+d x) (b c-a d)}+\frac{(a+b x) (g (a+b x))^m (i (c+d x))^{-m} \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^3}{i^2 (m+1) (c+d x) (b c-a d)}-\frac{3 B n (a+b x) (g (a+b x))^m (i (c+d x))^{-m} \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{i^2 (m+1)^2 (c+d x) (b c-a d)}-\frac{6 B^3 n^3 (a+b x) (g (a+b x))^m (i (c+d x))^{-m}}{i^2 (m+1)^4 (c+d x) (b c-a d)}",1,"(A^3*(a*g + b*g*x)^(1 + m)*(c*i + d*i*x)^(-1 - m))/((b*c - a*d)*g*i*(1 + m)) - (3*A^2*B*n*(a*g + b*g*x)^(1 + m)*(c*i + d*i*x)^(-1 - m))/((b*c - a*d)*g*i*(1 + m)^2) + (3*A^2*B*(a*g + b*g*x)^(1 + m)*(c*i + d*i*x)^(-1 - m)*Log[e*((a + b*x)/(c + d*x))^n])/((b*c - a*d)*g*i*(1 + m)) + 3*A*B^2*Defer[Int][(a*g + b*g*x)^m*(c*i + d*i*x)^(-2 - m)*Log[e*((a + b*x)/(c + d*x))^n]^2, x] + B^3*Defer[Int][(a*g + b*g*x)^m*(c*i + d*i*x)^(-2 - m)*Log[e*((a + b*x)/(c + d*x))^n]^3, x]","F",0,0,0,0,-1,"{}"
213,0,0,0,1.2151327,"\int (a g+b g x)^m (c i+d i x)^{-2-m} \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 \, dx","Int[(a*g + b*g*x)^m*(c*i + d*i*x)^(-2 - m)*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2,x]","\int (a g+b g x)^m (c i+d i x)^{-2-m} \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 \, dx","\frac{(a+b x) (g (a+b x))^m (i (c+d x))^{-m} \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{i^2 (m+1) (c+d x) (b c-a d)}-\frac{2 B n (a+b x) (g (a+b x))^m (i (c+d x))^{-m} \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{i^2 (m+1)^2 (c+d x) (b c-a d)}+\frac{2 B^2 n^2 (a+b x) (g (a+b x))^m (i (c+d x))^{-m}}{i^2 (m+1)^3 (c+d x) (b c-a d)}",1,"(A^2*(a*g + b*g*x)^(1 + m)*(c*i + d*i*x)^(-1 - m))/((b*c - a*d)*g*i*(1 + m)) - (2*A*B*n*(a*g + b*g*x)^(1 + m)*(c*i + d*i*x)^(-1 - m))/((b*c - a*d)*g*i*(1 + m)^2) + (2*A*B*(a*g + b*g*x)^(1 + m)*(c*i + d*i*x)^(-1 - m)*Log[e*((a + b*x)/(c + d*x))^n])/((b*c - a*d)*g*i*(1 + m)) + B^2*Defer[Int][(a*g + b*g*x)^m*(c*i + d*i*x)^(-2 - m)*Log[e*((a + b*x)/(c + d*x))^n]^2, x]","F",0,0,0,0,-1,"{}"
214,1,168,0,0.615875,"\int (a g+b g x)^m (c i+d i x)^{-2-m} \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \, dx","Int[(a*g + b*g*x)^m*(c*i + d*i*x)^(-2 - m)*(A + B*Log[e*((a + b*x)/(c + d*x))^n]),x]","\frac{A (a g+b g x)^{m+1} (c i+d i x)^{-m-1}}{g i (m+1) (b c-a d)}+\frac{B (a g+b g x)^{m+1} (c i+d i x)^{-m-1} \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{g i (m+1) (b c-a d)}-\frac{B n (a g+b g x)^{m+1} (c i+d i x)^{-m-1}}{g i (m+1)^2 (b c-a d)}","\frac{(a+b x) (g (a+b x))^m (i (c+d x))^{-m} \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{i^2 (m+1) (c+d x) (b c-a d)}-\frac{B n (a+b x) (g (a+b x))^m (i (c+d x))^{-m}}{i^2 (m+1)^2 (c+d x) (b c-a d)}",1,"(A*(a*g + b*g*x)^(1 + m)*(c*i + d*i*x)^(-1 - m))/((b*c - a*d)*g*i*(1 + m)) - (B*n*(a*g + b*g*x)^(1 + m)*(c*i + d*i*x)^(-1 - m))/((b*c - a*d)*g*i*(1 + m)^2) + (B*(a*g + b*g*x)^(1 + m)*(c*i + d*i*x)^(-1 - m)*Log[e*((a + b*x)/(c + d*x))^n])/((b*c - a*d)*g*i*(1 + m))","A",6,4,47,0.08511,1,"{6742, 37, 2554, 12}"
215,0,0,0,0.7366336,"\int \frac{(a g+b g x)^m (c i+d i x)^{-2-m}}{A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)} \, dx","Int[((a*g + b*g*x)^m*(c*i + d*i*x)^(-2 - m))/(A + B*Log[e*((a + b*x)/(c + d*x))^n]),x]","\int \frac{(a g+b g x)^m (c i+d i x)^{-2-m}}{A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)} \, dx","\frac{(a+b x) e^{-\frac{A (m+1)}{B n}} (g (a+b x))^m (i (c+d x))^{-m} \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)^{-\frac{m+1}{n}} \text{Ei}\left(\frac{(m+1) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{B n}\right)}{B i^2 n (c+d x) (b c-a d)}",1,"Defer[Int][((a*g + b*g*x)^m*(c*i + d*i*x)^(-2 - m))/(A + B*Log[e*((a + b*x)/(c + d*x))^n]), x]","F",0,0,0,0,-1,"{}"
216,0,0,0,0.8264721,"\int \frac{(a g+b g x)^m (c i+d i x)^{-2-m}}{\left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2} \, dx","Int[((a*g + b*g*x)^m*(c*i + d*i*x)^(-2 - m))/(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2,x]","\int \frac{(a g+b g x)^m (c i+d i x)^{-2-m}}{\left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2} \, dx","\frac{(m+1) (a+b x) e^{-\frac{A (m+1)}{B n}} (g (a+b x))^m (i (c+d x))^{-m} \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)^{-\frac{m+1}{n}} \text{Ei}\left(\frac{(m+1) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{B n}\right)}{B^2 i^2 n^2 (c+d x) (b c-a d)}-\frac{(a+b x) (g (a+b x))^m (i (c+d x))^{-m}}{B i^2 n (c+d x) (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}",1,"Defer[Int][((a*g + b*g*x)^m*(c*i + d*i*x)^(-2 - m))/(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2, x]","F",0,0,0,0,-1,"{}"
217,0,0,0,0.8146081,"\int \frac{(a g+b g x)^m (c i+d i x)^{-2-m}}{\left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^3} \, dx","Int[((a*g + b*g*x)^m*(c*i + d*i*x)^(-2 - m))/(A + B*Log[e*((a + b*x)/(c + d*x))^n])^3,x]","\int \frac{(a g+b g x)^m (c i+d i x)^{-2-m}}{\left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^3} \, dx","\frac{(m+1)^2 (a+b x) e^{-\frac{A (m+1)}{B n}} (g (a+b x))^m (i (c+d x))^{-m} \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)^{-\frac{m+1}{n}} \text{Ei}\left(\frac{(m+1) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{B n}\right)}{2 B^3 i^2 n^3 (c+d x) (b c-a d)}-\frac{(m+1) (a+b x) (g (a+b x))^m (i (c+d x))^{-m}}{2 B^2 i^2 n^2 (c+d x) (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}-\frac{(a+b x) (g (a+b x))^m (i (c+d x))^{-m}}{2 B i^2 n (c+d x) (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}",1,"Defer[Int][((a*g + b*g*x)^m*(c*i + d*i*x)^(-2 - m))/(A + B*Log[e*((a + b*x)/(c + d*x))^n])^3, x]","F",0,0,0,0,-1,"{}"
218,0,0,0,2.0547471,"\int (a g+b g x)^{-2-m} (c i+d i x)^m \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^3 \, dx","Int[(a*g + b*g*x)^(-2 - m)*(c*i + d*i*x)^m*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^3,x]","\int (a g+b g x)^{-2-m} (c i+d i x)^m \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^3 \, dx","-\frac{6 B^2 n^2 (a+b x) (g (a+b x))^{-m-2} (i (c+d x))^{m+2} \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{i^2 (m+1)^3 (c+d x) (b c-a d)}-\frac{(a+b x) (g (a+b x))^{-m-2} (i (c+d x))^{m+2} \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^3}{i^2 (m+1) (c+d x) (b c-a d)}-\frac{3 B n (a+b x) (g (a+b x))^{-m-2} (i (c+d x))^{m+2} \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{i^2 (m+1)^2 (c+d x) (b c-a d)}-\frac{6 B^3 n^3 (a+b x) (g (a+b x))^{-m-2} (i (c+d x))^{m+2}}{i^2 (m+1)^4 (c+d x) (b c-a d)}",1,"-((A^3*(a*g + b*g*x)^(-1 - m)*(c*i + d*i*x)^(1 + m))/((b*c - a*d)*g*i*(1 + m))) - (3*A^2*B*n*(a*g + b*g*x)^(-1 - m)*(c*i + d*i*x)^(1 + m))/((b*c - a*d)*g*i*(1 + m)^2) - (3*A^2*B*(a*g + b*g*x)^(-1 - m)*(c*i + d*i*x)^(1 + m)*Log[e*((a + b*x)/(c + d*x))^n])/((b*c - a*d)*g*i*(1 + m)) + 3*A*B^2*Defer[Int][(a*g + b*g*x)^(-2 - m)*(c*i + d*i*x)^m*Log[e*((a + b*x)/(c + d*x))^n]^2, x] + B^3*Defer[Int][(a*g + b*g*x)^(-2 - m)*(c*i + d*i*x)^m*Log[e*((a + b*x)/(c + d*x))^n]^3, x]","F",0,0,0,0,-1,"{}"
219,0,0,0,1.1591143,"\int (a g+b g x)^{-2-m} (c i+d i x)^m \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 \, dx","Int[(a*g + b*g*x)^(-2 - m)*(c*i + d*i*x)^m*(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2,x]","\int (a g+b g x)^{-2-m} (c i+d i x)^m \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2 \, dx","-\frac{(a+b x) (g (a+b x))^{-m-2} (i (c+d x))^{m+2} \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}{i^2 (m+1) (c+d x) (b c-a d)}-\frac{2 B n (a+b x) (g (a+b x))^{-m-2} (i (c+d x))^{m+2} \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{i^2 (m+1)^2 (c+d x) (b c-a d)}-\frac{2 B^2 n^2 (a+b x) (g (a+b x))^{-m-2} (i (c+d x))^{m+2}}{i^2 (m+1)^3 (c+d x) (b c-a d)}",1,"-((A^2*(a*g + b*g*x)^(-1 - m)*(c*i + d*i*x)^(1 + m))/((b*c - a*d)*g*i*(1 + m))) - (2*A*B*n*(a*g + b*g*x)^(-1 - m)*(c*i + d*i*x)^(1 + m))/((b*c - a*d)*g*i*(1 + m)^2) - (2*A*B*(a*g + b*g*x)^(-1 - m)*(c*i + d*i*x)^(1 + m)*Log[e*((a + b*x)/(c + d*x))^n])/((b*c - a*d)*g*i*(1 + m)) + B^2*Defer[Int][(a*g + b*g*x)^(-2 - m)*(c*i + d*i*x)^m*Log[e*((a + b*x)/(c + d*x))^n]^2, x]","F",0,0,0,0,-1,"{}"
220,1,170,0,0.6163664,"\int (a g+b g x)^{-2-m} (c i+d i x)^m \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right) \, dx","Int[(a*g + b*g*x)^(-2 - m)*(c*i + d*i*x)^m*(A + B*Log[e*((a + b*x)/(c + d*x))^n]),x]","-\frac{A (a g+b g x)^{-m-1} (c i+d i x)^{m+1}}{g i (m+1) (b c-a d)}-\frac{B (a g+b g x)^{-m-1} (c i+d i x)^{m+1} \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{g i (m+1) (b c-a d)}-\frac{B n (a g+b g x)^{-m-1} (c i+d i x)^{m+1}}{g i (m+1)^2 (b c-a d)}","-\frac{(a+b x) (g (a+b x))^{-m-2} (i (c+d x))^{m+2} \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}{i^2 (m+1) (c+d x) (b c-a d)}-\frac{B n (a+b x) (g (a+b x))^{-m-2} (i (c+d x))^{m+2}}{i^2 (m+1)^2 (c+d x) (b c-a d)}",1,"-((A*(a*g + b*g*x)^(-1 - m)*(c*i + d*i*x)^(1 + m))/((b*c - a*d)*g*i*(1 + m))) - (B*n*(a*g + b*g*x)^(-1 - m)*(c*i + d*i*x)^(1 + m))/((b*c - a*d)*g*i*(1 + m)^2) - (B*(a*g + b*g*x)^(-1 - m)*(c*i + d*i*x)^(1 + m)*Log[e*((a + b*x)/(c + d*x))^n])/((b*c - a*d)*g*i*(1 + m))","A",6,4,47,0.08511,1,"{6742, 37, 2554, 12}"
221,0,0,0,0.6947678,"\int \frac{(a g+b g x)^{-2-m} (c i+d i x)^m}{A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)} \, dx","Int[((a*g + b*g*x)^(-2 - m)*(c*i + d*i*x)^m)/(A + B*Log[e*((a + b*x)/(c + d*x))^n]),x]","\int \frac{(a g+b g x)^{-2-m} (c i+d i x)^m}{A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)} \, dx","\frac{(a+b x) e^{\frac{A (m+1)}{B n}} (g (a+b x))^{-m-2} (i (c+d x))^{m+2} \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)^{\frac{m+1}{n}} \text{Ei}\left(-\frac{(m+1) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{B n}\right)}{B i^2 n (c+d x) (b c-a d)}",1,"Defer[Int][((a*g + b*g*x)^(-2 - m)*(c*i + d*i*x)^m)/(A + B*Log[e*((a + b*x)/(c + d*x))^n]), x]","F",0,0,0,0,-1,"{}"
222,0,0,0,0.7759641,"\int \frac{(a g+b g x)^{-2-m} (c i+d i x)^m}{\left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2} \, dx","Int[((a*g + b*g*x)^(-2 - m)*(c*i + d*i*x)^m)/(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2,x]","\int \frac{(a g+b g x)^{-2-m} (c i+d i x)^m}{\left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^2} \, dx","-\frac{(m+1) (a+b x) e^{\frac{A (m+1)}{B n}} (g (a+b x))^{-m-2} (i (c+d x))^{m+2} \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)^{\frac{m+1}{n}} \text{Ei}\left(-\frac{(m+1) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{B n}\right)}{B^2 i^2 n^2 (c+d x) (b c-a d)}-\frac{(a+b x) (g (a+b x))^{-m-2} (i (c+d x))^{m+2}}{B i^2 n (c+d x) (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}",1,"Defer[Int][((a*g + b*g*x)^(-2 - m)*(c*i + d*i*x)^m)/(A + B*Log[e*((a + b*x)/(c + d*x))^n])^2, x]","F",0,0,0,0,-1,"{}"
223,0,0,0,0.7572313,"\int \frac{(a g+b g x)^{-2-m} (c i+d i x)^m}{\left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^3} \, dx","Int[((a*g + b*g*x)^(-2 - m)*(c*i + d*i*x)^m)/(A + B*Log[e*((a + b*x)/(c + d*x))^n])^3,x]","\int \frac{(a g+b g x)^{-2-m} (c i+d i x)^m}{\left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)^3} \, dx","\frac{(m+1)^2 (a+b x) e^{\frac{A (m+1)}{B n}} (g (a+b x))^{-m-2} (i (c+d x))^{m+2} \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)^{\frac{m+1}{n}} \text{Ei}\left(-\frac{(m+1) \left(A+B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{B n}\right)}{2 B^3 i^2 n^3 (c+d x) (b c-a d)}+\frac{(m+1) (a+b x) (g (a+b x))^{-m-2} (i (c+d x))^{m+2}}{2 B^2 i^2 n^2 (c+d x) (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)}-\frac{(a+b x) (g (a+b x))^{-m-2} (i (c+d x))^{m+2}}{2 B i^2 n (c+d x) (b c-a d) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2}",1,"Defer[Int][((a*g + b*g*x)^(-2 - m)*(c*i + d*i*x)^m)/(A + B*Log[e*((a + b*x)/(c + d*x))^n])^3, x]","F",0,0,0,0,-1,"{}"
224,1,41,0,0.1081036,"\int \frac{\log ^p\left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{(a+b x) (c+d x)} \, dx","Int[Log[e*((a + b*x)/(c + d*x))^n]^p/((a + b*x)*(c + d*x)),x]","\frac{\log ^{p+1}\left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{n (p+1) (b c-a d)}","\frac{\log ^{p+1}\left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{n (p+1) (b c-a d)}",1,"Log[e*((a + b*x)/(c + d*x))^n]^(1 + p)/((b*c - a*d)*n*(1 + p))","A",1,1,35,0.02857,1,"{2505}"
225,1,41,0,0.0414104,"\int \frac{\log ^p\left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{a c+(b c+a d) x+b d x^2} \, dx","Int[Log[e*((a + b*x)/(c + d*x))^n]^p/(a*c + (b*c + a*d)*x + b*d*x^2),x]","\frac{\log ^{p+1}\left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{n (p+1) (b c-a d)}","\frac{\log ^{p+1}\left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{n (p+1) (b c-a d)}",1,"Log[e*((a + b*x)/(c + d*x))^n]^(1 + p)/((b*c - a*d)*n*(1 + p))","A",1,1,42,0.02381,1,"{2505}"
226,0,0,0,0.8110819,"\int (a g+b g x)^m (c i+d i x)^{-2-m} \left(A+B \log \left(e (a+b x)^n (c+d x)^{-n}\right)\right)^p \, dx","Int[(a*g + b*g*x)^m*(c*i + d*i*x)^(-2 - m)*(A + B*Log[(e*(a + b*x)^n)/(c + d*x)^n])^p,x]","\int (a g+b g x)^m (c i+d i x)^{-2-m} \left(A+B \log \left(e (a+b x)^n (c+d x)^{-n}\right)\right)^p \, dx","\frac{(a+b x) e^{-\frac{A (m+1)}{B n}} (g (a+b x))^m (i (c+d x))^{-m} \left(e (a+b x)^n (c+d x)^{-n}\right)^{-\frac{m+1}{n}} \left(B \log \left(e (a+b x)^n (c+d x)^{-n}\right)+A\right)^p \left(-\frac{(m+1) \left(B \log \left(e (a+b x)^n (c+d x)^{-n}\right)+A\right)}{B n}\right)^{-p} \text{Gamma}\left(p+1,-\frac{(m+1) \left(B \log \left(e (a+b x)^n (c+d x)^{-n}\right)+A\right)}{B n}\right)}{i^2 (m+1) (c+d x) (b c-a d)}",1,"Defer[Int][(a*g + b*g*x)^m*(c*i + d*i*x)^(-2 - m)*(A + B*Log[(e*(a + b*x)^n)/(c + d*x)^n])^p, x]","F",0,0,0,0,-1,"{}"
227,0,0,0,0.7105329,"\int (a g+b g x)^{-2-m} (c i+d i x)^m \left(A+B \log \left(e (a+b x)^n (c+d x)^{-n}\right)\right)^p \, dx","Int[(a*g + b*g*x)^(-2 - m)*(c*i + d*i*x)^m*(A + B*Log[(e*(a + b*x)^n)/(c + d*x)^n])^p,x]","\int (a g+b g x)^{-2-m} (c i+d i x)^m \left(A+B \log \left(e (a+b x)^n (c+d x)^{-n}\right)\right)^p \, dx","-\frac{(a+b x) e^{\frac{A (m+1)}{B n}} (g (a+b x))^{-m-2} (i (c+d x))^{m+2} \left(e (a+b x)^n (c+d x)^{-n}\right)^{\frac{m+1}{n}} \left(B \log \left(e (a+b x)^n (c+d x)^{-n}\right)+A\right)^p \left(\frac{(m+1) \left(B \log \left(e (a+b x)^n (c+d x)^{-n}\right)+A\right)}{B n}\right)^{-p} \text{Gamma}\left(p+1,\frac{(m+1) \left(B \log \left(e (a+b x)^n (c+d x)^{-n}\right)+A\right)}{B n}\right)}{i^2 (m+1) (c+d x) (b c-a d)}",1,"Defer[Int][(a*g + b*g*x)^(-2 - m)*(c*i + d*i*x)^m*(A + B*Log[(e*(a + b*x)^n)/(c + d*x)^n])^p, x]","F",0,0,0,0,-1,"{}"
228,1,45,0,0.1177302,"\int \frac{\left(A+B \log \left(e (a+b x)^n (c+d x)^{-n}\right)\right)^3}{(a+b x) (c+d x)} \, dx","Int[(A + B*Log[(e*(a + b*x)^n)/(c + d*x)^n])^3/((a + b*x)*(c + d*x)),x]","\frac{\left(B \log \left(e (a+b x)^n (c+d x)^{-n}\right)+A\right)^4}{4 B n (b c-a d)}","\frac{\left(B \log \left(e (a+b x)^n (c+d x)^{-n}\right)+A\right)^4}{4 B n (b c-a d)}",1,"(A + B*Log[(e*(a + b*x)^n)/(c + d*x)^n])^4/(4*B*(b*c - a*d)*n)","A",1,1,40,0.02500,1,"{6686}"
229,1,45,0,0.1122633,"\int \frac{\left(A+B \log \left(e (a+b x)^n (c+d x)^{-n}\right)\right)^2}{(a+b x) (c+d x)} \, dx","Int[(A + B*Log[(e*(a + b*x)^n)/(c + d*x)^n])^2/((a + b*x)*(c + d*x)),x]","\frac{\left(B \log \left(e (a+b x)^n (c+d x)^{-n}\right)+A\right)^3}{3 B n (b c-a d)}","\frac{\left(B \log \left(e (a+b x)^n (c+d x)^{-n}\right)+A\right)^3}{3 B n (b c-a d)}",1,"(A + B*Log[(e*(a + b*x)^n)/(c + d*x)^n])^3/(3*B*(b*c - a*d)*n)","A",1,1,40,0.02500,1,"{6686}"
230,1,45,0,0.082411,"\int \frac{A+B \log \left(e (a+b x)^n (c+d x)^{-n}\right)}{(a+b x) (c+d x)} \, dx","Int[(A + B*Log[(e*(a + b*x)^n)/(c + d*x)^n])/((a + b*x)*(c + d*x)),x]","\frac{\left(B \log \left(e (a+b x)^n (c+d x)^{-n}\right)+A\right)^2}{2 B n (b c-a d)}","\frac{\left(B \log \left(e (a+b x)^n (c+d x)^{-n}\right)+A\right)^2}{2 B n (b c-a d)}",1,"(A + B*Log[(e*(a + b*x)^n)/(c + d*x)^n])^2/(2*B*(b*c - a*d)*n)","A",1,1,38,0.02632,1,"{6686}"
231,1,41,0,0.1220266,"\int \frac{1}{(a+b x) (c+d x) \left(A+B \log \left(e (a+b x)^n (c+d x)^{-n}\right)\right)} \, dx","Int[1/((a + b*x)*(c + d*x)*(A + B*Log[(e*(a + b*x)^n)/(c + d*x)^n])),x]","\frac{\log \left(B \log \left(e (a+b x)^n (c+d x)^{-n}\right)+A\right)}{B n (b c-a d)}","\frac{\log \left(B \log \left(e (a+b x)^n (c+d x)^{-n}\right)+A\right)}{B n (b c-a d)}",1,"Log[A + B*Log[(e*(a + b*x)^n)/(c + d*x)^n]]/(B*(b*c - a*d)*n)","A",1,1,40,0.02500,1,"{6684}"
232,1,43,0,0.1218294,"\int \frac{1}{(a+b x) (c+d x) \left(A+B \log \left(e (a+b x)^n (c+d x)^{-n}\right)\right)^2} \, dx","Int[1/((a + b*x)*(c + d*x)*(A + B*Log[(e*(a + b*x)^n)/(c + d*x)^n])^2),x]","-\frac{1}{B n (b c-a d) \left(B \log \left(e (a+b x)^n (c+d x)^{-n}\right)+A\right)}","-\frac{1}{B n (b c-a d) \left(B \log \left(e (a+b x)^n (c+d x)^{-n}\right)+A\right)}",1,"-(1/(B*(b*c - a*d)*n*(A + B*Log[(e*(a + b*x)^n)/(c + d*x)^n])))","A",1,1,40,0.02500,1,"{6686}"
233,1,45,0,0.1223588,"\int \frac{1}{(a+b x) (c+d x) \left(A+B \log \left(e (a+b x)^n (c+d x)^{-n}\right)\right)^3} \, dx","Int[1/((a + b*x)*(c + d*x)*(A + B*Log[(e*(a + b*x)^n)/(c + d*x)^n])^3),x]","-\frac{1}{2 B n (b c-a d) \left(B \log \left(e (a+b x)^n (c+d x)^{-n}\right)+A\right)^2}","-\frac{1}{2 B n (b c-a d) \left(B \log \left(e (a+b x)^n (c+d x)^{-n}\right)+A\right)^2}",1,"-1/(2*B*(b*c - a*d)*n*(A + B*Log[(e*(a + b*x)^n)/(c + d*x)^n])^2)","A",1,1,40,0.02500,1,"{6686}"
234,1,49,0,0.149343,"\int \frac{\left(A+B \log \left(e (a+b x)^n (c+d x)^{-n}\right)\right)^p}{(a+b x) (c+d x)} \, dx","Int[(A + B*Log[(e*(a + b*x)^n)/(c + d*x)^n])^p/((a + b*x)*(c + d*x)),x]","\frac{\left(B \log \left(e (a+b x)^n (c+d x)^{-n}\right)+A\right)^{p+1}}{B n (p+1) (b c-a d)}","\frac{\left(B \log \left(e (a+b x)^n (c+d x)^{-n}\right)+A\right)^{p+1}}{B n (p+1) (b c-a d)}",1,"(A + B*Log[(e*(a + b*x)^n)/(c + d*x)^n])^(1 + p)/(B*(b*c - a*d)*n*(1 + p))","A",1,1,40,0.02500,1,"{6686}"
235,1,55,0,0.2158406,"\int \frac{\left(A+B \log \left(e (a+b x)^n (c+d x)^{-n}\right)\right)^p}{(a f+b f x) (c g+d g x)} \, dx","Int[(A + B*Log[(e*(a + b*x)^n)/(c + d*x)^n])^p/((a*f + b*f*x)*(c*g + d*g*x)),x]","\frac{\left(B \log \left(e (a+b x)^n (c+d x)^{-n}\right)+A\right)^{p+1}}{B f g n (p+1) (b c-a d)}","\frac{\left(B \log \left(e (a+b x)^n (c+d x)^{-n}\right)+A\right)^{p+1}}{B f g n (p+1) (b c-a d)}",1,"(A + B*Log[(e*(a + b*x)^n)/(c + d*x)^n])^(1 + p)/(B*(b*c - a*d)*f*g*n*(1 + p))","A",1,1,46,0.02174,1,"{6686}"
236,1,52,0,0.1062627,"\int \frac{\left(A+B \log \left(e (a+b x)^n (c+d x)^{-n}\right)\right)^p}{a c f+(b c+a d) f x+b d f x^2} \, dx","Int[(A + B*Log[(e*(a + b*x)^n)/(c + d*x)^n])^p/(a*c*f + (b*c + a*d)*f*x + b*d*f*x^2),x]","\frac{\left(B \log \left(e (a+b x)^n (c+d x)^{-n}\right)+A\right)^{p+1}}{B f n (p+1) (b c-a d)}","\frac{\left(B \log \left(e (a+b x)^n (c+d x)^{-n}\right)+A\right)^{p+1}}{B f n (p+1) (b c-a d)}",1,"(A + B*Log[(e*(a + b*x)^n)/(c + d*x)^n])^(1 + p)/(B*(b*c - a*d)*f*n*(1 + p))","A",1,1,50,0.02000,1,"{6686}"
237,1,41,0,0.1229214,"\int \frac{1}{(a+b x) (c+d x) \left(A+B \log \left(e (a+b x)^n (c+d x)^{-n}\right)\right)} \, dx","Int[1/((a + b*x)*(c + d*x)*(A + B*Log[(e*(a + b*x)^n)/(c + d*x)^n])),x]","\frac{\log \left(B \log \left(e (a+b x)^n (c+d x)^{-n}\right)+A\right)}{B n (b c-a d)}","\frac{\log \left(B \log \left(e (a+b x)^n (c+d x)^{-n}\right)+A\right)}{B n (b c-a d)}",1,"Log[A + B*Log[(e*(a + b*x)^n)/(c + d*x)^n]]/(B*(b*c - a*d)*n)","A",1,1,40,0.02500,1,"{6684}"
238,1,47,0,0.165762,"\int \frac{1}{(a f+b f x) (c g+d g x) \left(A+B \log \left(e (a+b x)^n (c+d x)^{-n}\right)\right)} \, dx","Int[1/((a*f + b*f*x)*(c*g + d*g*x)*(A + B*Log[(e*(a + b*x)^n)/(c + d*x)^n])),x]","\frac{\log \left(B \log \left(e (a+b x)^n (c+d x)^{-n}\right)+A\right)}{B f g n (b c-a d)}","\frac{\log \left(B \log \left(e (a+b x)^n (c+d x)^{-n}\right)+A\right)}{B f g n (b c-a d)}",1,"Log[A + B*Log[(e*(a + b*x)^n)/(c + d*x)^n]]/(B*(b*c - a*d)*f*g*n)","A",1,1,46,0.02174,1,"{6684}"
239,1,44,0,0.0775872,"\int \frac{1}{\left(a c f+(b c+a d) f x+b d f x^2\right) \left(A+B \log \left(e (a+b x)^n (c+d x)^{-n}\right)\right)} \, dx","Int[1/((a*c*f + (b*c + a*d)*f*x + b*d*f*x^2)*(A + B*Log[(e*(a + b*x)^n)/(c + d*x)^n])),x]","\frac{\log \left(B \log \left(e (a+b x)^n (c+d x)^{-n}\right)+A\right)}{B f n (b c-a d)}","\frac{\log \left(B \log \left(e (a+b x)^n (c+d x)^{-n}\right)+A\right)}{B f n (b c-a d)}",1,"Log[A + B*Log[(e*(a + b*x)^n)/(c + d*x)^n]]/(B*(b*c - a*d)*f*n)","A",1,1,50,0.02000,1,"{6684}"
240,1,88,0,0.1098796,"\int \frac{(a+b x)^m (c+d x)^{-2-m}}{\log \left(e (a+b x)^n (c+d x)^{-n}\right)} \, dx","Int[((a + b*x)^m*(c + d*x)^(-2 - m))/Log[(e*(a + b*x)^n)/(c + d*x)^n],x]","\frac{(a+b x)^{m+1} (c+d x)^{-m-1} \left(e (a+b x)^n (c+d x)^{-n}\right)^{-\frac{m+1}{n}} \text{Ei}\left(\frac{(m+1) \log \left(e (a+b x)^n (c+d x)^{-n}\right)}{n}\right)}{n (b c-a d)}","\frac{(a+b x)^{m+1} (c+d x)^{-m-1} \left(e (a+b x)^n (c+d x)^{-n}\right)^{-\frac{m+1}{n}} \text{Ei}\left(\frac{(m+1) \log \left(e (a+b x)^n (c+d x)^{-n}\right)}{n}\right)}{n (b c-a d)}",1,"((a + b*x)^(1 + m)*(c + d*x)^(-1 - m)*ExpIntegralEi[((1 + m)*Log[(e*(a + b*x)^n)/(c + d*x)^n])/n])/((b*c - a*d)*n*((e*(a + b*x)^n)/(c + d*x)^n)^((1 + m)/n))","A",1,1,40,0.02500,1,"{2510}"
241,1,75,0,0.0753523,"\int \frac{(a+b x)^3}{(c+d x)^5 \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)} \, dx","Int[(a + b*x)^3/((c + d*x)^5*Log[e*((a + b*x)/(c + d*x))^n]),x]","\frac{(a+b x)^4 \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)^{-4/n} \text{Ei}\left(\frac{4 \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{n}\right)}{n (c+d x)^4 (b c-a d)}","\frac{(a+b x)^4 \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)^{-4/n} \text{Ei}\left(\frac{4 \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{n}\right)}{n (c+d x)^4 (b c-a d)}",1,"((a + b*x)^4*ExpIntegralEi[(4*Log[e*((a + b*x)/(c + d*x))^n])/n])/((b*c - a*d)*n*(e*((a + b*x)/(c + d*x))^n)^(4/n)*(c + d*x)^4)","A",1,1,35,0.02857,1,"{2510}"
242,1,75,0,0.0731964,"\int \frac{(a+b x)^2}{(c+d x)^4 \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)} \, dx","Int[(a + b*x)^2/((c + d*x)^4*Log[e*((a + b*x)/(c + d*x))^n]),x]","\frac{(a+b x)^3 \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)^{-3/n} \text{Ei}\left(\frac{3 \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{n}\right)}{n (c+d x)^3 (b c-a d)}","\frac{(a+b x)^3 \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)^{-3/n} \text{Ei}\left(\frac{3 \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{n}\right)}{n (c+d x)^3 (b c-a d)}",1,"((a + b*x)^3*ExpIntegralEi[(3*Log[e*((a + b*x)/(c + d*x))^n])/n])/((b*c - a*d)*n*(e*((a + b*x)/(c + d*x))^n)^(3/n)*(c + d*x)^3)","A",1,1,35,0.02857,1,"{2510}"
243,1,75,0,0.0496571,"\int \frac{a+b x}{(c+d x)^3 \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)} \, dx","Int[(a + b*x)/((c + d*x)^3*Log[e*((a + b*x)/(c + d*x))^n]),x]","\frac{(a+b x)^2 \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)^{-2/n} \text{Ei}\left(\frac{2 \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{n}\right)}{n (c+d x)^2 (b c-a d)}","\frac{(a+b x)^2 \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)^{-2/n} \text{Ei}\left(\frac{2 \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{n}\right)}{n (c+d x)^2 (b c-a d)}",1,"((a + b*x)^2*ExpIntegralEi[(2*Log[e*((a + b*x)/(c + d*x))^n])/n])/((b*c - a*d)*n*(e*((a + b*x)/(c + d*x))^n)^(2/n)*(c + d*x)^2)","A",1,1,33,0.03030,1,"{2510}"
244,1,72,0,0.0315986,"\int \frac{1}{(c+d x)^2 \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)} \, dx","Int[1/((c + d*x)^2*Log[e*((a + b*x)/(c + d*x))^n]),x]","\frac{(a+b x) \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)^{-1/n} \text{Ei}\left(\frac{\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{n}\right)}{n (c+d x) (b c-a d)}","\frac{(a+b x) \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)^{-1/n} \text{Ei}\left(\frac{\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{n}\right)}{n (c+d x) (b c-a d)}",1,"((a + b*x)*ExpIntegralEi[Log[e*((a + b*x)/(c + d*x))^n]/n])/((b*c - a*d)*n*(e*((a + b*x)/(c + d*x))^n)^n^(-1)*(c + d*x))","A",1,1,28,0.03571,1,"{2493}"
245,1,33,0,0.0749734,"\int \frac{1}{(a+b x) (c+d x) \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)} \, dx","Int[1/((a + b*x)*(c + d*x)*Log[e*((a + b*x)/(c + d*x))^n]),x]","\frac{\log \left(\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{n (b c-a d)}","\frac{\log \left(\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)\right)}{n (b c-a d)}",1,"Log[Log[e*((a + b*x)/(c + d*x))^n]]/((b*c - a*d)*n)","A",1,1,35,0.02857,1,"{2504}"
246,1,71,0,0.0289577,"\int \frac{1}{(a+b x)^2 \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)} \, dx","Int[1/((a + b*x)^2*Log[e*((a + b*x)/(c + d*x))^n]),x]","\frac{(c+d x) \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)^{\frac{1}{n}} \text{Ei}\left(-\frac{\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{n}\right)}{n (a+b x) (b c-a d)}","\frac{(c+d x) \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)^{\frac{1}{n}} \text{Ei}\left(-\frac{\log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{n}\right)}{n (a+b x) (b c-a d)}",1,"((e*((a + b*x)/(c + d*x))^n)^n^(-1)*(c + d*x)*ExpIntegralEi[-(Log[e*((a + b*x)/(c + d*x))^n]/n)])/((b*c - a*d)*n*(a + b*x))","A",1,1,28,0.03571,1,"{2493}"
247,1,75,0,0.0472205,"\int \frac{c+d x}{(a+b x)^3 \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)} \, dx","Int[(c + d*x)/((a + b*x)^3*Log[e*((a + b*x)/(c + d*x))^n]),x]","\frac{(c+d x)^2 \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)^{2/n} \text{Ei}\left(-\frac{2 \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{n}\right)}{n (a+b x)^2 (b c-a d)}","\frac{(c+d x)^2 \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)^{2/n} \text{Ei}\left(-\frac{2 \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{n}\right)}{n (a+b x)^2 (b c-a d)}",1,"((e*((a + b*x)/(c + d*x))^n)^(2/n)*(c + d*x)^2*ExpIntegralEi[(-2*Log[e*((a + b*x)/(c + d*x))^n])/n])/((b*c - a*d)*n*(a + b*x)^2)","A",1,1,33,0.03030,1,"{2510}"
248,1,75,0,0.0698958,"\int \frac{(c+d x)^2}{(a+b x)^4 \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)} \, dx","Int[(c + d*x)^2/((a + b*x)^4*Log[e*((a + b*x)/(c + d*x))^n]),x]","\frac{(c+d x)^3 \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)^{3/n} \text{Ei}\left(-\frac{3 \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{n}\right)}{n (a+b x)^3 (b c-a d)}","\frac{(c+d x)^3 \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)^{3/n} \text{Ei}\left(-\frac{3 \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)}{n}\right)}{n (a+b x)^3 (b c-a d)}",1,"((e*((a + b*x)/(c + d*x))^n)^(3/n)*(c + d*x)^3*ExpIntegralEi[(-3*Log[e*((a + b*x)/(c + d*x))^n])/n])/((b*c - a*d)*n*(a + b*x)^3)","A",1,1,35,0.02857,1,"{2510}"
249,1,1021,0,1.9256584,"\int \frac{\left(A+B \log \left(e (a+b x)^n (c+d x)^{-n}\right)\right)^4}{(f+g x) (a h+b h x)} \, dx","Int[(A + B*Log[(e*(a + b*x)^n)/(c + d*x)^n])^4/((f + g*x)*(a*h + b*h*x)),x]","\frac{\log (a+b x) A^4}{(b f-a g) h}-\frac{\log (f+g x) A^4}{(b f-a g) h}-\frac{4 B \log \left(e (a+b x)^n (c+d x)^{-n}\right) \log \left(-\frac{(b c-a d) (f+g x)}{(d f-c g) (a+b x)}\right) A^3}{(b f-a g) h}+\frac{4 B n \text{PolyLog}\left(2,\frac{(b c-a d) (f+g x)}{(d f-c g) (a+b x)}+1\right) A^3}{(b f-a g) h}-\frac{6 B^2 \log ^2\left(e (a+b x)^n (c+d x)^{-n}\right) \log \left(-\frac{(b c-a d) (f+g x)}{(d f-c g) (a+b x)}\right) A^2}{(b f-a g) h}+\frac{12 B^2 n \log \left(e (a+b x)^n (c+d x)^{-n}\right) \text{PolyLog}\left(2,\frac{(b c-a d) (f+g x)}{(d f-c g) (a+b x)}+1\right) A^2}{(b f-a g) h}+\frac{12 B^2 n^2 \text{PolyLog}\left(3,\frac{(b c-a d) (f+g x)}{(d f-c g) (a+b x)}+1\right) A^2}{(b f-a g) h}-\frac{4 B^3 \log ^3\left(e (a+b x)^n (c+d x)^{-n}\right) \log \left(-\frac{(b c-a d) (f+g x)}{(d f-c g) (a+b x)}\right) A}{(b f-a g) h}+\frac{12 B^3 n \log ^2\left(e (a+b x)^n (c+d x)^{-n}\right) \text{PolyLog}\left(2,\frac{(b c-a d) (f+g x)}{(d f-c g) (a+b x)}+1\right) A}{(b f-a g) h}+\frac{24 B^3 n^2 \log \left(e (a+b x)^n (c+d x)^{-n}\right) \text{PolyLog}\left(3,\frac{(b c-a d) (f+g x)}{(d f-c g) (a+b x)}+1\right) A}{(b f-a g) h}+\frac{24 B^3 n^3 \text{PolyLog}\left(4,\frac{(b c-a d) (f+g x)}{(d f-c g) (a+b x)}+1\right) A}{(b f-a g) h}-\frac{B^4 \log ^4\left(e (a+b x)^n (c+d x)^{-n}\right) \log \left(-\frac{(b c-a d) (f+g x)}{(d f-c g) (a+b x)}\right)}{(b f-a g) h}+\frac{4 B^4 n \log ^3\left(e (a+b x)^n (c+d x)^{-n}\right) \text{PolyLog}\left(2,\frac{(b c-a d) (f+g x)}{(d f-c g) (a+b x)}+1\right)}{(b f-a g) h}+\frac{12 B^4 n^2 \log ^2\left(e (a+b x)^n (c+d x)^{-n}\right) \text{PolyLog}\left(3,\frac{(b c-a d) (f+g x)}{(d f-c g) (a+b x)}+1\right)}{(b f-a g) h}+\frac{24 B^4 n^3 \log \left(e (a+b x)^n (c+d x)^{-n}\right) \text{PolyLog}\left(4,\frac{(b c-a d) (f+g x)}{(d f-c g) (a+b x)}+1\right)}{(b f-a g) h}+\frac{24 B^4 n^4 \text{PolyLog}\left(5,\frac{(b c-a d) (f+g x)}{(d f-c g) (a+b x)}+1\right)}{(b f-a g) h}","\frac{24 B^3 n^3 \text{PolyLog}\left(4,\frac{(c+d x) (b f-a g)}{(a+b x) (d f-c g)}\right) \left(B \log \left(e (a+b x)^n (c+d x)^{-n}\right)+A\right)}{h (b f-a g)}+\frac{12 B^2 n^2 \text{PolyLog}\left(3,\frac{(c+d x) (b f-a g)}{(a+b x) (d f-c g)}\right) \left(B \log \left(e (a+b x)^n (c+d x)^{-n}\right)+A\right)^2}{h (b f-a g)}+\frac{4 B n \text{PolyLog}\left(2,\frac{(c+d x) (b f-a g)}{(a+b x) (d f-c g)}\right) \left(B \log \left(e (a+b x)^n (c+d x)^{-n}\right)+A\right)^3}{h (b f-a g)}+\frac{24 B^4 n^4 \text{PolyLog}\left(5,\frac{(c+d x) (b f-a g)}{(a+b x) (d f-c g)}\right)}{h (b f-a g)}-\frac{\log \left(1-\frac{(c+d x) (b f-a g)}{(a+b x) (d f-c g)}\right) \left(B \log \left(e (a+b x)^n (c+d x)^{-n}\right)+A\right)^4}{h (b f-a g)}",1,"(A^4*Log[a + b*x])/((b*f - a*g)*h) - (A^4*Log[f + g*x])/((b*f - a*g)*h) - (4*A^3*B*Log[(e*(a + b*x)^n)/(c + d*x)^n]*Log[-(((b*c - a*d)*(f + g*x))/((d*f - c*g)*(a + b*x)))])/((b*f - a*g)*h) - (6*A^2*B^2*Log[(e*(a + b*x)^n)/(c + d*x)^n]^2*Log[-(((b*c - a*d)*(f + g*x))/((d*f - c*g)*(a + b*x)))])/((b*f - a*g)*h) - (4*A*B^3*Log[(e*(a + b*x)^n)/(c + d*x)^n]^3*Log[-(((b*c - a*d)*(f + g*x))/((d*f - c*g)*(a + b*x)))])/((b*f - a*g)*h) - (B^4*Log[(e*(a + b*x)^n)/(c + d*x)^n]^4*Log[-(((b*c - a*d)*(f + g*x))/((d*f - c*g)*(a + b*x)))])/((b*f - a*g)*h) + (4*A^3*B*n*PolyLog[2, 1 + ((b*c - a*d)*(f + g*x))/((d*f - c*g)*(a + b*x))])/((b*f - a*g)*h) + (12*A^2*B^2*n*Log[(e*(a + b*x)^n)/(c + d*x)^n]*PolyLog[2, 1 + ((b*c - a*d)*(f + g*x))/((d*f - c*g)*(a + b*x))])/((b*f - a*g)*h) + (12*A*B^3*n*Log[(e*(a + b*x)^n)/(c + d*x)^n]^2*PolyLog[2, 1 + ((b*c - a*d)*(f + g*x))/((d*f - c*g)*(a + b*x))])/((b*f - a*g)*h) + (4*B^4*n*Log[(e*(a + b*x)^n)/(c + d*x)^n]^3*PolyLog[2, 1 + ((b*c - a*d)*(f + g*x))/((d*f - c*g)*(a + b*x))])/((b*f - a*g)*h) + (12*A^2*B^2*n^2*PolyLog[3, 1 + ((b*c - a*d)*(f + g*x))/((d*f - c*g)*(a + b*x))])/((b*f - a*g)*h) + (24*A*B^3*n^2*Log[(e*(a + b*x)^n)/(c + d*x)^n]*PolyLog[3, 1 + ((b*c - a*d)*(f + g*x))/((d*f - c*g)*(a + b*x))])/((b*f - a*g)*h) + (12*B^4*n^2*Log[(e*(a + b*x)^n)/(c + d*x)^n]^2*PolyLog[3, 1 + ((b*c - a*d)*(f + g*x))/((d*f - c*g)*(a + b*x))])/((b*f - a*g)*h) + (24*A*B^3*n^3*PolyLog[4, 1 + ((b*c - a*d)*(f + g*x))/((d*f - c*g)*(a + b*x))])/((b*f - a*g)*h) + (24*B^4*n^3*Log[(e*(a + b*x)^n)/(c + d*x)^n]*PolyLog[4, 1 + ((b*c - a*d)*(f + g*x))/((d*f - c*g)*(a + b*x))])/((b*f - a*g)*h) + (24*B^4*n^4*PolyLog[5, 1 + ((b*c - a*d)*(f + g*x))/((d*f - c*g)*(a + b*x))])/((b*f - a*g)*h)","B",20,9,43,0.2093,1,"{6742, 36, 31, 2503, 2502, 2315, 2506, 6610, 2508}"
250,1,656,0,1.2110778,"\int \frac{\left(A+B \log \left(e (a+b x)^n (c+d x)^{-n}\right)\right)^3}{(f+g x) (a h+b h x)} \, dx","Int[(A + B*Log[(e*(a + b*x)^n)/(c + d*x)^n])^3/((f + g*x)*(a*h + b*h*x)),x]","\frac{3 A^2 B n \text{PolyLog}\left(2,\frac{(f+g x) (b c-a d)}{(a+b x) (d f-c g)}+1\right)}{h (b f-a g)}+\frac{6 A B^2 n \log \left(e (a+b x)^n (c+d x)^{-n}\right) \text{PolyLog}\left(2,\frac{(f+g x) (b c-a d)}{(a+b x) (d f-c g)}+1\right)}{h (b f-a g)}+\frac{6 A B^2 n^2 \text{PolyLog}\left(3,\frac{(f+g x) (b c-a d)}{(a+b x) (d f-c g)}+1\right)}{h (b f-a g)}+\frac{6 B^3 n^2 \log \left(e (a+b x)^n (c+d x)^{-n}\right) \text{PolyLog}\left(3,\frac{(f+g x) (b c-a d)}{(a+b x) (d f-c g)}+1\right)}{h (b f-a g)}+\frac{3 B^3 n \log ^2\left(e (a+b x)^n (c+d x)^{-n}\right) \text{PolyLog}\left(2,\frac{(f+g x) (b c-a d)}{(a+b x) (d f-c g)}+1\right)}{h (b f-a g)}+\frac{6 B^3 n^3 \text{PolyLog}\left(4,\frac{(f+g x) (b c-a d)}{(a+b x) (d f-c g)}+1\right)}{h (b f-a g)}-\frac{3 A^2 B \log \left(e (a+b x)^n (c+d x)^{-n}\right) \log \left(-\frac{(f+g x) (b c-a d)}{(a+b x) (d f-c g)}\right)}{h (b f-a g)}+\frac{A^3 \log (a+b x)}{h (b f-a g)}-\frac{A^3 \log (f+g x)}{h (b f-a g)}-\frac{3 A B^2 \log ^2\left(e (a+b x)^n (c+d x)^{-n}\right) \log \left(-\frac{(f+g x) (b c-a d)}{(a+b x) (d f-c g)}\right)}{h (b f-a g)}-\frac{B^3 \log ^3\left(e (a+b x)^n (c+d x)^{-n}\right) \log \left(-\frac{(f+g x) (b c-a d)}{(a+b x) (d f-c g)}\right)}{h (b f-a g)}","\frac{6 B^2 n^2 \text{PolyLog}\left(3,\frac{(c+d x) (b f-a g)}{(a+b x) (d f-c g)}\right) \left(B \log \left(e (a+b x)^n (c+d x)^{-n}\right)+A\right)}{h (b f-a g)}+\frac{3 B n \text{PolyLog}\left(2,\frac{(c+d x) (b f-a g)}{(a+b x) (d f-c g)}\right) \left(B \log \left(e (a+b x)^n (c+d x)^{-n}\right)+A\right)^2}{h (b f-a g)}+\frac{6 B^3 n^3 \text{PolyLog}\left(4,\frac{(c+d x) (b f-a g)}{(a+b x) (d f-c g)}\right)}{h (b f-a g)}-\frac{\log \left(1-\frac{(c+d x) (b f-a g)}{(a+b x) (d f-c g)}\right) \left(B \log \left(e (a+b x)^n (c+d x)^{-n}\right)+A\right)^3}{h (b f-a g)}",1,"(A^3*Log[a + b*x])/((b*f - a*g)*h) - (A^3*Log[f + g*x])/((b*f - a*g)*h) - (3*A^2*B*Log[(e*(a + b*x)^n)/(c + d*x)^n]*Log[-(((b*c - a*d)*(f + g*x))/((d*f - c*g)*(a + b*x)))])/((b*f - a*g)*h) - (3*A*B^2*Log[(e*(a + b*x)^n)/(c + d*x)^n]^2*Log[-(((b*c - a*d)*(f + g*x))/((d*f - c*g)*(a + b*x)))])/((b*f - a*g)*h) - (B^3*Log[(e*(a + b*x)^n)/(c + d*x)^n]^3*Log[-(((b*c - a*d)*(f + g*x))/((d*f - c*g)*(a + b*x)))])/((b*f - a*g)*h) + (3*A^2*B*n*PolyLog[2, 1 + ((b*c - a*d)*(f + g*x))/((d*f - c*g)*(a + b*x))])/((b*f - a*g)*h) + (6*A*B^2*n*Log[(e*(a + b*x)^n)/(c + d*x)^n]*PolyLog[2, 1 + ((b*c - a*d)*(f + g*x))/((d*f - c*g)*(a + b*x))])/((b*f - a*g)*h) + (3*B^3*n*Log[(e*(a + b*x)^n)/(c + d*x)^n]^2*PolyLog[2, 1 + ((b*c - a*d)*(f + g*x))/((d*f - c*g)*(a + b*x))])/((b*f - a*g)*h) + (6*A*B^2*n^2*PolyLog[3, 1 + ((b*c - a*d)*(f + g*x))/((d*f - c*g)*(a + b*x))])/((b*f - a*g)*h) + (6*B^3*n^2*Log[(e*(a + b*x)^n)/(c + d*x)^n]*PolyLog[3, 1 + ((b*c - a*d)*(f + g*x))/((d*f - c*g)*(a + b*x))])/((b*f - a*g)*h) + (6*B^3*n^3*PolyLog[4, 1 + ((b*c - a*d)*(f + g*x))/((d*f - c*g)*(a + b*x))])/((b*f - a*g)*h)","B",15,9,43,0.2093,1,"{6742, 36, 31, 2503, 2502, 2315, 2506, 6610, 2508}"
251,1,371,0,0.7618796,"\int \frac{\left(A+B \log \left(e (a+b x)^n (c+d x)^{-n}\right)\right)^2}{(f+g x) (a h+b h x)} \, dx","Int[(A + B*Log[(e*(a + b*x)^n)/(c + d*x)^n])^2/((f + g*x)*(a*h + b*h*x)),x]","\frac{2 A B n \text{PolyLog}\left(2,\frac{(f+g x) (b c-a d)}{(a+b x) (d f-c g)}+1\right)}{h (b f-a g)}+\frac{2 B^2 n \log \left(e (a+b x)^n (c+d x)^{-n}\right) \text{PolyLog}\left(2,\frac{(f+g x) (b c-a d)}{(a+b x) (d f-c g)}+1\right)}{h (b f-a g)}+\frac{2 B^2 n^2 \text{PolyLog}\left(3,\frac{(f+g x) (b c-a d)}{(a+b x) (d f-c g)}+1\right)}{h (b f-a g)}+\frac{A^2 \log (a+b x)}{h (b f-a g)}-\frac{A^2 \log (f+g x)}{h (b f-a g)}-\frac{2 A B \log \left(e (a+b x)^n (c+d x)^{-n}\right) \log \left(-\frac{(f+g x) (b c-a d)}{(a+b x) (d f-c g)}\right)}{h (b f-a g)}-\frac{B^2 \log ^2\left(e (a+b x)^n (c+d x)^{-n}\right) \log \left(-\frac{(f+g x) (b c-a d)}{(a+b x) (d f-c g)}\right)}{h (b f-a g)}","\frac{2 B n \text{PolyLog}\left(2,\frac{(c+d x) (b f-a g)}{(a+b x) (d f-c g)}\right) \left(B \log \left(e (a+b x)^n (c+d x)^{-n}\right)+A\right)}{h (b f-a g)}+\frac{2 B^2 n^2 \text{PolyLog}\left(3,\frac{(c+d x) (b f-a g)}{(a+b x) (d f-c g)}\right)}{h (b f-a g)}-\frac{\log \left(1-\frac{(c+d x) (b f-a g)}{(a+b x) (d f-c g)}\right) \left(B \log \left(e (a+b x)^n (c+d x)^{-n}\right)+A\right)^2}{h (b f-a g)}",1,"(A^2*Log[a + b*x])/((b*f - a*g)*h) - (A^2*Log[f + g*x])/((b*f - a*g)*h) - (2*A*B*Log[(e*(a + b*x)^n)/(c + d*x)^n]*Log[-(((b*c - a*d)*(f + g*x))/((d*f - c*g)*(a + b*x)))])/((b*f - a*g)*h) - (B^2*Log[(e*(a + b*x)^n)/(c + d*x)^n]^2*Log[-(((b*c - a*d)*(f + g*x))/((d*f - c*g)*(a + b*x)))])/((b*f - a*g)*h) + (2*A*B*n*PolyLog[2, 1 + ((b*c - a*d)*(f + g*x))/((d*f - c*g)*(a + b*x))])/((b*f - a*g)*h) + (2*B^2*n*Log[(e*(a + b*x)^n)/(c + d*x)^n]*PolyLog[2, 1 + ((b*c - a*d)*(f + g*x))/((d*f - c*g)*(a + b*x))])/((b*f - a*g)*h) + (2*B^2*n^2*PolyLog[3, 1 + ((b*c - a*d)*(f + g*x))/((d*f - c*g)*(a + b*x))])/((b*f - a*g)*h)","A",11,8,43,0.1860,1,"{6742, 36, 31, 2503, 2502, 2315, 2506, 6610}"
252,1,163,0,0.3650713,"\int \frac{A+B \log \left(e (a+b x)^n (c+d x)^{-n}\right)}{(f+g x) (a h+b h x)} \, dx","Int[(A + B*Log[(e*(a + b*x)^n)/(c + d*x)^n])/((f + g*x)*(a*h + b*h*x)),x]","\frac{B n \text{PolyLog}\left(2,\frac{(f+g x) (b c-a d)}{(a+b x) (d f-c g)}+1\right)}{h (b f-a g)}+\frac{A \log (a+b x)}{h (b f-a g)}-\frac{A \log (f+g x)}{h (b f-a g)}-\frac{B \log \left(e (a+b x)^n (c+d x)^{-n}\right) \log \left(-\frac{(f+g x) (b c-a d)}{(a+b x) (d f-c g)}\right)}{h (b f-a g)}","\frac{B n \text{PolyLog}\left(2,\frac{(c+d x) (b f-a g)}{(a+b x) (d f-c g)}\right)}{h (b f-a g)}-\frac{\log \left(1-\frac{(c+d x) (b f-a g)}{(a+b x) (d f-c g)}\right) \left(B \log \left(e (a+b x)^n (c+d x)^{-n}\right)+A\right)}{h (b f-a g)}",1,"(A*Log[a + b*x])/((b*f - a*g)*h) - (A*Log[f + g*x])/((b*f - a*g)*h) - (B*Log[(e*(a + b*x)^n)/(c + d*x)^n]*Log[-(((b*c - a*d)*(f + g*x))/((d*f - c*g)*(a + b*x)))])/((b*f - a*g)*h) + (B*n*PolyLog[2, 1 + ((b*c - a*d)*(f + g*x))/((d*f - c*g)*(a + b*x))])/((b*f - a*g)*h)","A",8,6,41,0.1463,1,"{6742, 36, 31, 2503, 2502, 2315}"
253,0,0,0,0.4269428,"\int \frac{1}{(f+g x) (a h+b h x) \left(A+B \log \left(e (a+b x)^n (c+d x)^{-n}\right)\right)} \, dx","Int[1/((f + g*x)*(a*h + b*h*x)*(A + B*Log[(e*(a + b*x)^n)/(c + d*x)^n])),x]","\int \frac{1}{(f+g x) (a h+b h x) \left(A+B \log \left(e (a+b x)^n (c+d x)^{-n}\right)\right)} \, dx","\text{Subst}\left(\text{Int}\left(\frac{1}{(f+g x) (a h+b h x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)},x\right),e \left(\frac{a+b x}{c+d x}\right)^n,e (a+b x)^n (c+d x)^{-n}\right)",0,"(b*Defer[Int][1/((a + b*x)*(A + B*Log[(e*(a + b*x)^n)/(c + d*x)^n])), x])/((b*f - a*g)*h) - (g*Defer[Int][1/((f + g*x)*(A + B*Log[(e*(a + b*x)^n)/(c + d*x)^n])), x])/((b*f - a*g)*h)","A",0,0,0,0,-1,"{}"
254,0,0,0,0.479691,"\int \frac{1}{(f+g x) (a h+b h x) \left(A+B \log \left(e (a+b x)^n (c+d x)^{-n}\right)\right)^2} \, dx","Int[1/((f + g*x)*(a*h + b*h*x)*(A + B*Log[(e*(a + b*x)^n)/(c + d*x)^n])^2),x]","\int \frac{1}{(f+g x) (a h+b h x) \left(A+B \log \left(e (a+b x)^n (c+d x)^{-n}\right)\right)^2} \, dx","\text{Subst}\left(\text{Int}\left(\frac{1}{(f+g x) (a h+b h x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2},x\right),e \left(\frac{a+b x}{c+d x}\right)^n,e (a+b x)^n (c+d x)^{-n}\right)",0,"(b*Defer[Int][1/((a + b*x)*(A + B*Log[(e*(a + b*x)^n)/(c + d*x)^n])^2), x])/((b*f - a*g)*h) - (g*Defer[Int][1/((f + g*x)*(A + B*Log[(e*(a + b*x)^n)/(c + d*x)^n])^2), x])/((b*f - a*g)*h)","A",0,0,0,0,-1,"{}"
255,1,33,0,0.0950319,"\int \frac{\log \left(\frac{c+d x}{a+b x}\right)}{(a+b x) ((a-c) h+(b-d) h x)} \, dx","Int[Log[(c + d*x)/(a + b*x)]/((a + b*x)*((a - c)*h + (b - d)*h*x)),x]","-\frac{\text{PolyLog}\left(2,1-\frac{c+d x}{a+b x}\right)}{h (b c-a d)}","-\frac{\text{PolyLog}\left(2,1-\frac{c+d x}{a+b x}\right)}{h (b c-a d)}",1,"-(PolyLog[2, 1 - (c + d*x)/(a + b*x)]/((b*c - a*d)*h))","A",2,2,40,0.05000,1,"{2502, 2315}"
256,1,27,0,0.0656417,"\int \frac{\log \left(\frac{a-c g+(b-d g) x}{a+b x}\right)}{(a+b x) (c+d x)} \, dx","Int[Log[(a - c*g + (b - d*g)*x)/(a + b*x)]/((a + b*x)*(c + d*x)),x]","\frac{\text{PolyLog}\left(2,\frac{g (c+d x)}{a+b x}\right)}{b c-a d}","\frac{\text{PolyLog}\left(2,\frac{g (c+d x)}{a+b x}\right)}{b c-a d}",1,"PolyLog[2, (g*(c + d*x))/(a + b*x)]/(b*c - a*d)","A",2,2,38,0.05263,1,"{2502, 2315}"
257,1,27,0,0.1175262,"\int \frac{\log \left(1-\frac{g (c+d x)}{a+b x}\right)}{(a+b x) (c+d x)} \, dx","Int[Log[1 - (g*(c + d*x))/(a + b*x)]/((a + b*x)*(c + d*x)),x]","\frac{\text{PolyLog}\left(2,\frac{g (c+d x)}{a+b x}\right)}{b c-a d}","\frac{\text{PolyLog}\left(2,\frac{g (c+d x)}{a+b x}\right)}{b c-a d}",1,"PolyLog[2, (g*(c + d*x))/(a + b*x)]/(b*c - a*d)","A",3,3,33,0.09091,1,"{2517, 2502, 2315}"
258,1,27,0,0.1168487,"\int \frac{\log \left(\frac{a-c g+b x-d g x}{a+b x}\right)}{(a+b x) (c+d x)} \, dx","Int[Log[(a - c*g + b*x - d*g*x)/(a + b*x)]/((a + b*x)*(c + d*x)),x]","\frac{\text{PolyLog}\left(2,\frac{g (c+d x)}{a+b x}\right)}{b c-a d}","\frac{\text{PolyLog}\left(2,\frac{g (c+d x)}{a+b x}\right)}{b c-a d}",1,"PolyLog[2, (g*(c + d*x))/(a + b*x)]/(b*c - a*d)","A",3,3,38,0.07895,1,"{2516, 2502, 2315}"
259,1,656,0,1.3119855,"\int \frac{\left(A+B \log \left(e (a+b x)^n (c+d x)^{-n}\right)\right)^3}{a f h+b g h x^2+h (b f x+a g x)} \, dx","Int[(A + B*Log[(e*(a + b*x)^n)/(c + d*x)^n])^3/(a*f*h + b*g*h*x^2 + h*(b*f*x + a*g*x)),x]","\frac{3 A^2 B n \text{PolyLog}\left(2,\frac{(f+g x) (b c-a d)}{(a+b x) (d f-c g)}+1\right)}{h (b f-a g)}+\frac{6 A B^2 n \log \left(e (a+b x)^n (c+d x)^{-n}\right) \text{PolyLog}\left(2,\frac{(f+g x) (b c-a d)}{(a+b x) (d f-c g)}+1\right)}{h (b f-a g)}+\frac{6 A B^2 n^2 \text{PolyLog}\left(3,\frac{(f+g x) (b c-a d)}{(a+b x) (d f-c g)}+1\right)}{h (b f-a g)}+\frac{6 B^3 n^2 \log \left(e (a+b x)^n (c+d x)^{-n}\right) \text{PolyLog}\left(3,\frac{(f+g x) (b c-a d)}{(a+b x) (d f-c g)}+1\right)}{h (b f-a g)}+\frac{3 B^3 n \log ^2\left(e (a+b x)^n (c+d x)^{-n}\right) \text{PolyLog}\left(2,\frac{(f+g x) (b c-a d)}{(a+b x) (d f-c g)}+1\right)}{h (b f-a g)}+\frac{6 B^3 n^3 \text{PolyLog}\left(4,\frac{(f+g x) (b c-a d)}{(a+b x) (d f-c g)}+1\right)}{h (b f-a g)}-\frac{3 A^2 B \log \left(e (a+b x)^n (c+d x)^{-n}\right) \log \left(-\frac{(f+g x) (b c-a d)}{(a+b x) (d f-c g)}\right)}{h (b f-a g)}+\frac{A^3 \log (a+b x)}{h (b f-a g)}-\frac{A^3 \log (f+g x)}{h (b f-a g)}-\frac{3 A B^2 \log ^2\left(e (a+b x)^n (c+d x)^{-n}\right) \log \left(-\frac{(f+g x) (b c-a d)}{(a+b x) (d f-c g)}\right)}{h (b f-a g)}-\frac{B^3 \log ^3\left(e (a+b x)^n (c+d x)^{-n}\right) \log \left(-\frac{(f+g x) (b c-a d)}{(a+b x) (d f-c g)}\right)}{h (b f-a g)}","\frac{6 B^2 n^2 \text{PolyLog}\left(3,\frac{(c+d x) (b f-a g)}{(a+b x) (d f-c g)}\right) \left(B \log \left(e (a+b x)^n (c+d x)^{-n}\right)+A\right)}{h (b f-a g)}+\frac{3 B n \text{PolyLog}\left(2,\frac{(c+d x) (b f-a g)}{(a+b x) (d f-c g)}\right) \left(B \log \left(e (a+b x)^n (c+d x)^{-n}\right)+A\right)^2}{h (b f-a g)}+\frac{6 B^3 n^3 \text{PolyLog}\left(4,\frac{(c+d x) (b f-a g)}{(a+b x) (d f-c g)}\right)}{h (b f-a g)}-\frac{\log \left(1-\frac{(c+d x) (b f-a g)}{(a+b x) (d f-c g)}\right) \left(B \log \left(e (a+b x)^n (c+d x)^{-n}\right)+A\right)^3}{h (b f-a g)}",1,"(A^3*Log[a + b*x])/((b*f - a*g)*h) - (A^3*Log[f + g*x])/((b*f - a*g)*h) - (3*A^2*B*Log[(e*(a + b*x)^n)/(c + d*x)^n]*Log[-(((b*c - a*d)*(f + g*x))/((d*f - c*g)*(a + b*x)))])/((b*f - a*g)*h) - (3*A*B^2*Log[(e*(a + b*x)^n)/(c + d*x)^n]^2*Log[-(((b*c - a*d)*(f + g*x))/((d*f - c*g)*(a + b*x)))])/((b*f - a*g)*h) - (B^3*Log[(e*(a + b*x)^n)/(c + d*x)^n]^3*Log[-(((b*c - a*d)*(f + g*x))/((d*f - c*g)*(a + b*x)))])/((b*f - a*g)*h) + (3*A^2*B*n*PolyLog[2, 1 + ((b*c - a*d)*(f + g*x))/((d*f - c*g)*(a + b*x))])/((b*f - a*g)*h) + (6*A*B^2*n*Log[(e*(a + b*x)^n)/(c + d*x)^n]*PolyLog[2, 1 + ((b*c - a*d)*(f + g*x))/((d*f - c*g)*(a + b*x))])/((b*f - a*g)*h) + (3*B^3*n*Log[(e*(a + b*x)^n)/(c + d*x)^n]^2*PolyLog[2, 1 + ((b*c - a*d)*(f + g*x))/((d*f - c*g)*(a + b*x))])/((b*f - a*g)*h) + (6*A*B^2*n^2*PolyLog[3, 1 + ((b*c - a*d)*(f + g*x))/((d*f - c*g)*(a + b*x))])/((b*f - a*g)*h) + (6*B^3*n^2*Log[(e*(a + b*x)^n)/(c + d*x)^n]*PolyLog[3, 1 + ((b*c - a*d)*(f + g*x))/((d*f - c*g)*(a + b*x))])/((b*f - a*g)*h) + (6*B^3*n^3*PolyLog[4, 1 + ((b*c - a*d)*(f + g*x))/((d*f - c*g)*(a + b*x))])/((b*f - a*g)*h)","B",17,11,51,0.2157,1,"{6688, 12, 6742, 36, 31, 2503, 2502, 2315, 2506, 6610, 2508}"
260,1,371,0,0.8188994,"\int \frac{\left(A+B \log \left(e (a+b x)^n (c+d x)^{-n}\right)\right)^2}{a f h+b g h x^2+h (b f x+a g x)} \, dx","Int[(A + B*Log[(e*(a + b*x)^n)/(c + d*x)^n])^2/(a*f*h + b*g*h*x^2 + h*(b*f*x + a*g*x)),x]","\frac{2 A B n \text{PolyLog}\left(2,\frac{(f+g x) (b c-a d)}{(a+b x) (d f-c g)}+1\right)}{h (b f-a g)}+\frac{2 B^2 n \log \left(e (a+b x)^n (c+d x)^{-n}\right) \text{PolyLog}\left(2,\frac{(f+g x) (b c-a d)}{(a+b x) (d f-c g)}+1\right)}{h (b f-a g)}+\frac{2 B^2 n^2 \text{PolyLog}\left(3,\frac{(f+g x) (b c-a d)}{(a+b x) (d f-c g)}+1\right)}{h (b f-a g)}+\frac{A^2 \log (a+b x)}{h (b f-a g)}-\frac{A^2 \log (f+g x)}{h (b f-a g)}-\frac{2 A B \log \left(e (a+b x)^n (c+d x)^{-n}\right) \log \left(-\frac{(f+g x) (b c-a d)}{(a+b x) (d f-c g)}\right)}{h (b f-a g)}-\frac{B^2 \log ^2\left(e (a+b x)^n (c+d x)^{-n}\right) \log \left(-\frac{(f+g x) (b c-a d)}{(a+b x) (d f-c g)}\right)}{h (b f-a g)}","\frac{2 B n \text{PolyLog}\left(2,\frac{(c+d x) (b f-a g)}{(a+b x) (d f-c g)}\right) \left(B \log \left(e (a+b x)^n (c+d x)^{-n}\right)+A\right)}{h (b f-a g)}+\frac{2 B^2 n^2 \text{PolyLog}\left(3,\frac{(c+d x) (b f-a g)}{(a+b x) (d f-c g)}\right)}{h (b f-a g)}-\frac{\log \left(1-\frac{(c+d x) (b f-a g)}{(a+b x) (d f-c g)}\right) \left(B \log \left(e (a+b x)^n (c+d x)^{-n}\right)+A\right)^2}{h (b f-a g)}",1,"(A^2*Log[a + b*x])/((b*f - a*g)*h) - (A^2*Log[f + g*x])/((b*f - a*g)*h) - (2*A*B*Log[(e*(a + b*x)^n)/(c + d*x)^n]*Log[-(((b*c - a*d)*(f + g*x))/((d*f - c*g)*(a + b*x)))])/((b*f - a*g)*h) - (B^2*Log[(e*(a + b*x)^n)/(c + d*x)^n]^2*Log[-(((b*c - a*d)*(f + g*x))/((d*f - c*g)*(a + b*x)))])/((b*f - a*g)*h) + (2*A*B*n*PolyLog[2, 1 + ((b*c - a*d)*(f + g*x))/((d*f - c*g)*(a + b*x))])/((b*f - a*g)*h) + (2*B^2*n*Log[(e*(a + b*x)^n)/(c + d*x)^n]*PolyLog[2, 1 + ((b*c - a*d)*(f + g*x))/((d*f - c*g)*(a + b*x))])/((b*f - a*g)*h) + (2*B^2*n^2*PolyLog[3, 1 + ((b*c - a*d)*(f + g*x))/((d*f - c*g)*(a + b*x))])/((b*f - a*g)*h)","A",13,10,51,0.1961,1,"{6688, 12, 6742, 36, 31, 2503, 2502, 2315, 2506, 6610}"
261,1,163,0,0.3938444,"\int \frac{A+B \log \left(e (a+b x)^n (c+d x)^{-n}\right)}{a f h+b g h x^2+h (b f x+a g x)} \, dx","Int[(A + B*Log[(e*(a + b*x)^n)/(c + d*x)^n])/(a*f*h + b*g*h*x^2 + h*(b*f*x + a*g*x)),x]","\frac{B n \text{PolyLog}\left(2,\frac{(f+g x) (b c-a d)}{(a+b x) (d f-c g)}+1\right)}{h (b f-a g)}+\frac{A \log (a+b x)}{h (b f-a g)}-\frac{A \log (f+g x)}{h (b f-a g)}-\frac{B \log \left(e (a+b x)^n (c+d x)^{-n}\right) \log \left(-\frac{(f+g x) (b c-a d)}{(a+b x) (d f-c g)}\right)}{h (b f-a g)}","\frac{B n \text{PolyLog}\left(2,\frac{(c+d x) (b f-a g)}{(a+b x) (d f-c g)}\right)}{h (b f-a g)}-\frac{\log \left(1-\frac{(c+d x) (b f-a g)}{(a+b x) (d f-c g)}\right) \left(B \log \left(e (a+b x)^n (c+d x)^{-n}\right)+A\right)}{h (b f-a g)}",1,"(A*Log[a + b*x])/((b*f - a*g)*h) - (A*Log[f + g*x])/((b*f - a*g)*h) - (B*Log[(e*(a + b*x)^n)/(c + d*x)^n]*Log[-(((b*c - a*d)*(f + g*x))/((d*f - c*g)*(a + b*x)))])/((b*f - a*g)*h) + (B*n*PolyLog[2, 1 + ((b*c - a*d)*(f + g*x))/((d*f - c*g)*(a + b*x))])/((b*f - a*g)*h)","A",10,8,49,0.1633,1,"{6688, 12, 6742, 36, 31, 2503, 2502, 2315}"
262,0,0,0,0.4305168,"\int \frac{1}{\left(a f h+b g h x^2+h (b f x+a g x)\right) \left(A+B \log \left(e (a+b x)^n (c+d x)^{-n}\right)\right)} \, dx","Int[1/((a*f*h + b*g*h*x^2 + h*(b*f*x + a*g*x))*(A + B*Log[(e*(a + b*x)^n)/(c + d*x)^n])),x]","\int \frac{1}{\left(a f h+b g h x^2+h (b f x+a g x)\right) \left(A+B \log \left(e (a+b x)^n (c+d x)^{-n}\right)\right)} \, dx","\frac{\text{Subst}\left(\text{Int}\left(\frac{1}{(a+b x) (f+g x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)},x\right),e \left(\frac{a+b x}{c+d x}\right)^n,e (a+b x)^n (c+d x)^{-n}\right)}{h}",0,"(b*Defer[Int][1/((a + b*x)*(A + B*Log[(e*(a + b*x)^n)/(c + d*x)^n])), x])/((b*f - a*g)*h) - (g*Defer[Int][1/((f + g*x)*(A + B*Log[(e*(a + b*x)^n)/(c + d*x)^n])), x])/((b*f - a*g)*h)","A",0,0,0,0,-1,"{}"
263,0,0,0,0.4598838,"\int \frac{1}{\left(a f h+b g h x^2+h (b f x+a g x)\right) \left(A+B \log \left(e (a+b x)^n (c+d x)^{-n}\right)\right)^2} \, dx","Int[1/((a*f*h + b*g*h*x^2 + h*(b*f*x + a*g*x))*(A + B*Log[(e*(a + b*x)^n)/(c + d*x)^n])^2),x]","\int \frac{1}{\left(a f h+b g h x^2+h (b f x+a g x)\right) \left(A+B \log \left(e (a+b x)^n (c+d x)^{-n}\right)\right)^2} \, dx","\frac{\text{Subst}\left(\text{Int}\left(\frac{1}{(a+b x) (f+g x) \left(B \log \left(e \left(\frac{a+b x}{c+d x}\right)^n\right)+A\right)^2},x\right),e \left(\frac{a+b x}{c+d x}\right)^n,e (a+b x)^n (c+d x)^{-n}\right)}{h}",0,"(b*Defer[Int][1/((a + b*x)*(A + B*Log[(e*(a + b*x)^n)/(c + d*x)^n])^2), x])/((b*f - a*g)*h) - (g*Defer[Int][1/((f + g*x)*(A + B*Log[(e*(a + b*x)^n)/(c + d*x)^n])^2), x])/((b*f - a*g)*h)","A",0,0,0,0,-1,"{}"