1,1,86,0,0.0533019,"\int x^4 \text{PolyLog}(2,a x) \, dx","Int[x^4*PolyLog[2, a*x],x]","\frac{1}{5} x^5 \text{PolyLog}(2,a x)-\frac{x^3}{75 a^2}-\frac{x^2}{50 a^3}-\frac{x}{25 a^4}-\frac{\log (1-a x)}{25 a^5}-\frac{x^4}{100 a}+\frac{1}{25} x^5 \log (1-a x)-\frac{x^5}{125}","\frac{1}{5} x^5 \text{PolyLog}(2,a x)-\frac{x^3}{75 a^2}-\frac{x^2}{50 a^3}-\frac{x}{25 a^4}-\frac{\log (1-a x)}{25 a^5}-\frac{x^4}{100 a}+\frac{1}{25} x^5 \log (1-a x)-\frac{x^5}{125}",1,"-x/(25*a^4) - x^2/(50*a^3) - x^3/(75*a^2) - x^4/(100*a) - x^5/125 - Log[1 - a*x]/(25*a^5) + (x^5*Log[1 - a*x])/25 + (x^5*PolyLog[2, a*x])/5","A",4,3,9,0.3333,1,"{6591, 2395, 43}"
2,1,76,0,0.0447573,"\int x^3 \text{PolyLog}(2,a x) \, dx","Int[x^3*PolyLog[2, a*x],x]","\frac{1}{4} x^4 \text{PolyLog}(2,a x)-\frac{x^2}{32 a^2}-\frac{x}{16 a^3}-\frac{\log (1-a x)}{16 a^4}-\frac{x^3}{48 a}+\frac{1}{16} x^4 \log (1-a x)-\frac{x^4}{64}","\frac{1}{4} x^4 \text{PolyLog}(2,a x)-\frac{x^2}{32 a^2}-\frac{x}{16 a^3}-\frac{\log (1-a x)}{16 a^4}-\frac{x^3}{48 a}+\frac{1}{16} x^4 \log (1-a x)-\frac{x^4}{64}",1,"-x/(16*a^3) - x^2/(32*a^2) - x^3/(48*a) - x^4/64 - Log[1 - a*x]/(16*a^4) + (x^4*Log[1 - a*x])/16 + (x^4*PolyLog[2, a*x])/4","A",4,3,9,0.3333,1,"{6591, 2395, 43}"
3,1,66,0,0.0396548,"\int x^2 \text{PolyLog}(2,a x) \, dx","Int[x^2*PolyLog[2, a*x],x]","\frac{1}{3} x^3 \text{PolyLog}(2,a x)-\frac{x}{9 a^2}-\frac{\log (1-a x)}{9 a^3}-\frac{x^2}{18 a}+\frac{1}{9} x^3 \log (1-a x)-\frac{x^3}{27}","\frac{1}{3} x^3 \text{PolyLog}(2,a x)-\frac{x}{9 a^2}-\frac{\log (1-a x)}{9 a^3}-\frac{x^2}{18 a}+\frac{1}{9} x^3 \log (1-a x)-\frac{x^3}{27}",1,"-x/(9*a^2) - x^2/(18*a) - x^3/27 - Log[1 - a*x]/(9*a^3) + (x^3*Log[1 - a*x])/9 + (x^3*PolyLog[2, a*x])/3","A",4,3,9,0.3333,1,"{6591, 2395, 43}"
4,1,56,0,0.0282725,"\int x \text{PolyLog}(2,a x) \, dx","Int[x*PolyLog[2, a*x],x]","\frac{1}{2} x^2 \text{PolyLog}(2,a x)-\frac{\log (1-a x)}{4 a^2}+\frac{1}{4} x^2 \log (1-a x)-\frac{x}{4 a}-\frac{x^2}{8}","\frac{1}{2} x^2 \text{PolyLog}(2,a x)-\frac{\log (1-a x)}{4 a^2}+\frac{1}{4} x^2 \log (1-a x)-\frac{x}{4 a}-\frac{x^2}{8}",1,"-x/(4*a) - x^2/8 - Log[1 - a*x]/(4*a^2) + (x^2*Log[1 - a*x])/4 + (x^2*PolyLog[2, a*x])/2","A",4,3,7,0.4286,1,"{6591, 2395, 43}"
5,1,29,0,0.0085078,"\int \text{PolyLog}(2,a x) \, dx","Int[PolyLog[2, a*x],x]","x \text{PolyLog}(2,a x)-\frac{(1-a x) \log (1-a x)}{a}-x","x \text{PolyLog}(2,a x)-\frac{(1-a x) \log (1-a x)}{a}-x",1,"-x - ((1 - a*x)*Log[1 - a*x])/a + x*PolyLog[2, a*x]","A",3,3,5,0.6000,1,"{6586, 2389, 2295}"
6,1,5,0,0.0090331,"\int \frac{\text{PolyLog}(2,a x)}{x} \, dx","Int[PolyLog[2, a*x]/x,x]","\text{PolyLog}(3,a x)","\text{PolyLog}(3,a x)",1,"PolyLog[3, a*x]","A",1,1,9,0.1111,1,"{6589}"
7,1,36,0,0.0218984,"\int \frac{\text{PolyLog}(2,a x)}{x^2} \, dx","Int[PolyLog[2, a*x]/x^2,x]","-\frac{\text{PolyLog}(2,a x)}{x}+a \log (x)-a \log (1-a x)+\frac{\log (1-a x)}{x}","-\frac{\text{PolyLog}(2,a x)}{x}+a \log (x)-a \log (1-a x)+\frac{\log (1-a x)}{x}",1,"a*Log[x] - a*Log[1 - a*x] + Log[1 - a*x]/x - PolyLog[2, a*x]/x","A",5,5,9,0.5556,1,"{6591, 2395, 36, 29, 31}"
8,1,58,0,0.0332573,"\int \frac{\text{PolyLog}(2,a x)}{x^3} \, dx","Int[PolyLog[2, a*x]/x^3,x]","-\frac{\text{PolyLog}(2,a x)}{2 x^2}+\frac{1}{4} a^2 \log (x)-\frac{1}{4} a^2 \log (1-a x)+\frac{\log (1-a x)}{4 x^2}-\frac{a}{4 x}","-\frac{\text{PolyLog}(2,a x)}{2 x^2}+\frac{1}{4} a^2 \log (x)-\frac{1}{4} a^2 \log (1-a x)+\frac{\log (1-a x)}{4 x^2}-\frac{a}{4 x}",1,"-a/(4*x) + (a^2*Log[x])/4 - (a^2*Log[1 - a*x])/4 + Log[1 - a*x]/(4*x^2) - PolyLog[2, a*x]/(2*x^2)","A",4,3,9,0.3333,1,"{6591, 2395, 44}"
9,1,68,0,0.0363225,"\int \frac{\text{PolyLog}(2,a x)}{x^4} \, dx","Int[PolyLog[2, a*x]/x^4,x]","-\frac{\text{PolyLog}(2,a x)}{3 x^3}-\frac{a^2}{9 x}+\frac{1}{9} a^3 \log (x)-\frac{1}{9} a^3 \log (1-a x)-\frac{a}{18 x^2}+\frac{\log (1-a x)}{9 x^3}","-\frac{\text{PolyLog}(2,a x)}{3 x^3}-\frac{a^2}{9 x}+\frac{1}{9} a^3 \log (x)-\frac{1}{9} a^3 \log (1-a x)-\frac{a}{18 x^2}+\frac{\log (1-a x)}{9 x^3}",1,"-a/(18*x^2) - a^2/(9*x) + (a^3*Log[x])/9 - (a^3*Log[1 - a*x])/9 + Log[1 - a*x]/(9*x^3) - PolyLog[2, a*x]/(3*x^3)","A",4,3,9,0.3333,1,"{6591, 2395, 44}"
10,1,78,0,0.0392817,"\int \frac{\text{PolyLog}(2,a x)}{x^5} \, dx","Int[PolyLog[2, a*x]/x^5,x]","-\frac{\text{PolyLog}(2,a x)}{4 x^4}-\frac{a^2}{32 x^2}-\frac{a^3}{16 x}+\frac{1}{16} a^4 \log (x)-\frac{1}{16} a^4 \log (1-a x)-\frac{a}{48 x^3}+\frac{\log (1-a x)}{16 x^4}","-\frac{\text{PolyLog}(2,a x)}{4 x^4}-\frac{a^2}{32 x^2}-\frac{a^3}{16 x}+\frac{1}{16} a^4 \log (x)-\frac{1}{16} a^4 \log (1-a x)-\frac{a}{48 x^3}+\frac{\log (1-a x)}{16 x^4}",1,"-a/(48*x^3) - a^2/(32*x^2) - a^3/(16*x) + (a^4*Log[x])/16 - (a^4*Log[1 - a*x])/16 + Log[1 - a*x]/(16*x^4) - PolyLog[2, a*x]/(4*x^4)","A",4,3,9,0.3333,1,"{6591, 2395, 44}"
11,1,88,0,0.0573359,"\int x^3 \text{PolyLog}(3,a x) \, dx","Int[x^3*PolyLog[3, a*x],x]","-\frac{1}{16} x^4 \text{PolyLog}(2,a x)+\frac{1}{4} x^4 \text{PolyLog}(3,a x)+\frac{x^2}{128 a^2}+\frac{x}{64 a^3}+\frac{\log (1-a x)}{64 a^4}+\frac{x^3}{192 a}-\frac{1}{64} x^4 \log (1-a x)+\frac{x^4}{256}","-\frac{1}{16} x^4 \text{PolyLog}(2,a x)+\frac{1}{4} x^4 \text{PolyLog}(3,a x)+\frac{x^2}{128 a^2}+\frac{x}{64 a^3}+\frac{\log (1-a x)}{64 a^4}+\frac{x^3}{192 a}-\frac{1}{64} x^4 \log (1-a x)+\frac{x^4}{256}",1,"x/(64*a^3) + x^2/(128*a^2) + x^3/(192*a) + x^4/256 + Log[1 - a*x]/(64*a^4) - (x^4*Log[1 - a*x])/64 - (x^4*PolyLog[2, a*x])/16 + (x^4*PolyLog[3, a*x])/4","A",5,3,9,0.3333,1,"{6591, 2395, 43}"
12,1,78,0,0.0506273,"\int x^2 \text{PolyLog}(3,a x) \, dx","Int[x^2*PolyLog[3, a*x],x]","-\frac{1}{9} x^3 \text{PolyLog}(2,a x)+\frac{1}{3} x^3 \text{PolyLog}(3,a x)+\frac{x}{27 a^2}+\frac{\log (1-a x)}{27 a^3}+\frac{x^2}{54 a}-\frac{1}{27} x^3 \log (1-a x)+\frac{x^3}{81}","-\frac{1}{9} x^3 \text{PolyLog}(2,a x)+\frac{1}{3} x^3 \text{PolyLog}(3,a x)+\frac{x}{27 a^2}+\frac{\log (1-a x)}{27 a^3}+\frac{x^2}{54 a}-\frac{1}{27} x^3 \log (1-a x)+\frac{x^3}{81}",1,"x/(27*a^2) + x^2/(54*a) + x^3/81 + Log[1 - a*x]/(27*a^3) - (x^3*Log[1 - a*x])/27 - (x^3*PolyLog[2, a*x])/9 + (x^3*PolyLog[3, a*x])/3","A",5,3,9,0.3333,1,"{6591, 2395, 43}"
13,1,68,0,0.0351582,"\int x \text{PolyLog}(3,a x) \, dx","Int[x*PolyLog[3, a*x],x]","-\frac{1}{4} x^2 \text{PolyLog}(2,a x)+\frac{1}{2} x^2 \text{PolyLog}(3,a x)+\frac{\log (1-a x)}{8 a^2}-\frac{1}{8} x^2 \log (1-a x)+\frac{x}{8 a}+\frac{x^2}{16}","-\frac{1}{4} x^2 \text{PolyLog}(2,a x)+\frac{1}{2} x^2 \text{PolyLog}(3,a x)+\frac{\log (1-a x)}{8 a^2}-\frac{1}{8} x^2 \log (1-a x)+\frac{x}{8 a}+\frac{x^2}{16}",1,"x/(8*a) + x^2/16 + Log[1 - a*x]/(8*a^2) - (x^2*Log[1 - a*x])/8 - (x^2*PolyLog[2, a*x])/4 + (x^2*PolyLog[3, a*x])/2","A",5,3,7,0.4286,1,"{6591, 2395, 43}"
14,1,34,0,0.0108174,"\int \text{PolyLog}(3,a x) \, dx","Int[PolyLog[3, a*x],x]","x (-\text{PolyLog}(2,a x))+x \text{PolyLog}(3,a x)+\frac{(1-a x) \log (1-a x)}{a}+x","x (-\text{PolyLog}(2,a x))+x \text{PolyLog}(3,a x)+\frac{(1-a x) \log (1-a x)}{a}+x",1,"x + ((1 - a*x)*Log[1 - a*x])/a - x*PolyLog[2, a*x] + x*PolyLog[3, a*x]","A",4,3,5,0.6000,1,"{6586, 2389, 2295}"
15,1,5,0,0.0085138,"\int \frac{\text{PolyLog}(3,a x)}{x} \, dx","Int[PolyLog[3, a*x]/x,x]","\text{PolyLog}(4,a x)","\text{PolyLog}(4,a x)",1,"PolyLog[4, a*x]","A",1,1,9,0.1111,1,"{6589}"
16,1,46,0,0.0304426,"\int \frac{\text{PolyLog}(3,a x)}{x^2} \, dx","Int[PolyLog[3, a*x]/x^2,x]","-\frac{\text{PolyLog}(2,a x)}{x}-\frac{\text{PolyLog}(3,a x)}{x}+a \log (x)-a \log (1-a x)+\frac{\log (1-a x)}{x}","-\frac{\text{PolyLog}(2,a x)}{x}-\frac{\text{PolyLog}(3,a x)}{x}+a \log (x)-a \log (1-a x)+\frac{\log (1-a x)}{x}",1,"a*Log[x] - a*Log[1 - a*x] + Log[1 - a*x]/x - PolyLog[2, a*x]/x - PolyLog[3, a*x]/x","A",6,5,9,0.5556,1,"{6591, 2395, 36, 29, 31}"
17,1,70,0,0.0431429,"\int \frac{\text{PolyLog}(3,a x)}{x^3} \, dx","Int[PolyLog[3, a*x]/x^3,x]","-\frac{\text{PolyLog}(2,a x)}{4 x^2}-\frac{\text{PolyLog}(3,a x)}{2 x^2}+\frac{1}{8} a^2 \log (x)-\frac{1}{8} a^2 \log (1-a x)+\frac{\log (1-a x)}{8 x^2}-\frac{a}{8 x}","-\frac{\text{PolyLog}(2,a x)}{4 x^2}-\frac{\text{PolyLog}(3,a x)}{2 x^2}+\frac{1}{8} a^2 \log (x)-\frac{1}{8} a^2 \log (1-a x)+\frac{\log (1-a x)}{8 x^2}-\frac{a}{8 x}",1,"-a/(8*x) + (a^2*Log[x])/8 - (a^2*Log[1 - a*x])/8 + Log[1 - a*x]/(8*x^2) - PolyLog[2, a*x]/(4*x^2) - PolyLog[3, a*x]/(2*x^2)","A",5,3,9,0.3333,1,"{6591, 2395, 44}"
18,1,80,0,0.047769,"\int \frac{\text{PolyLog}(3,a x)}{x^4} \, dx","Int[PolyLog[3, a*x]/x^4,x]","-\frac{\text{PolyLog}(2,a x)}{9 x^3}-\frac{\text{PolyLog}(3,a x)}{3 x^3}-\frac{a^2}{27 x}+\frac{1}{27} a^3 \log (x)-\frac{1}{27} a^3 \log (1-a x)-\frac{a}{54 x^2}+\frac{\log (1-a x)}{27 x^3}","-\frac{\text{PolyLog}(2,a x)}{9 x^3}-\frac{\text{PolyLog}(3,a x)}{3 x^3}-\frac{a^2}{27 x}+\frac{1}{27} a^3 \log (x)-\frac{1}{27} a^3 \log (1-a x)-\frac{a}{54 x^2}+\frac{\log (1-a x)}{27 x^3}",1,"-a/(54*x^2) - a^2/(27*x) + (a^3*Log[x])/27 - (a^3*Log[1 - a*x])/27 + Log[1 - a*x]/(27*x^3) - PolyLog[2, a*x]/(9*x^3) - PolyLog[3, a*x]/(3*x^3)","A",5,3,9,0.3333,1,"{6591, 2395, 44}"
19,1,74,0,0.0614215,"\int x^5 \text{PolyLog}\left(2,a x^2\right) \, dx","Int[x^5*PolyLog[2, a*x^2],x]","\frac{1}{6} x^6 \text{PolyLog}\left(2,a x^2\right)-\frac{x^2}{18 a^2}-\frac{\log \left(1-a x^2\right)}{18 a^3}-\frac{x^4}{36 a}+\frac{1}{18} x^6 \log \left(1-a x^2\right)-\frac{x^6}{54}","\frac{1}{6} x^6 \text{PolyLog}\left(2,a x^2\right)-\frac{x^2}{18 a^2}-\frac{\log \left(1-a x^2\right)}{18 a^3}-\frac{x^4}{36 a}+\frac{1}{18} x^6 \log \left(1-a x^2\right)-\frac{x^6}{54}",1,"-x^2/(18*a^2) - x^4/(36*a) - x^6/54 - Log[1 - a*x^2]/(18*a^3) + (x^6*Log[1 - a*x^2])/18 + (x^6*PolyLog[2, a*x^2])/6","A",5,4,11,0.3636,1,"{6591, 2454, 2395, 43}"
20,1,64,0,0.0495752,"\int x^3 \text{PolyLog}\left(2,a x^2\right) \, dx","Int[x^3*PolyLog[2, a*x^2],x]","\frac{1}{4} x^4 \text{PolyLog}\left(2,a x^2\right)-\frac{\log \left(1-a x^2\right)}{8 a^2}-\frac{x^2}{8 a}+\frac{1}{8} x^4 \log \left(1-a x^2\right)-\frac{x^4}{16}","\frac{1}{4} x^4 \text{PolyLog}\left(2,a x^2\right)-\frac{\log \left(1-a x^2\right)}{8 a^2}-\frac{x^2}{8 a}+\frac{1}{8} x^4 \log \left(1-a x^2\right)-\frac{x^4}{16}",1,"-x^2/(8*a) - x^4/16 - Log[1 - a*x^2]/(8*a^2) + (x^4*Log[1 - a*x^2])/8 + (x^4*PolyLog[2, a*x^2])/4","A",5,4,11,0.3636,1,"{6591, 2454, 2395, 43}"
21,1,46,0,0.0252799,"\int x \text{PolyLog}\left(2,a x^2\right) \, dx","Int[x*PolyLog[2, a*x^2],x]","\frac{1}{2} x^2 \text{PolyLog}\left(2,a x^2\right)-\frac{\left(1-a x^2\right) \log \left(1-a x^2\right)}{2 a}-\frac{x^2}{2}","\frac{1}{2} x^2 \text{PolyLog}\left(2,a x^2\right)-\frac{\left(1-a x^2\right) \log \left(1-a x^2\right)}{2 a}-\frac{x^2}{2}",1,"-x^2/2 - ((1 - a*x^2)*Log[1 - a*x^2])/(2*a) + (x^2*PolyLog[2, a*x^2])/2","A",4,4,9,0.4444,1,"{6591, 2454, 2389, 2295}"
22,1,11,0,0.0094764,"\int \frac{\text{PolyLog}\left(2,a x^2\right)}{x} \, dx","Int[PolyLog[2, a*x^2]/x,x]","\frac{1}{2} \text{PolyLog}\left(3,a x^2\right)","\frac{1}{2} \text{PolyLog}\left(3,a x^2\right)",1,"PolyLog[3, a*x^2]/2","A",1,1,11,0.09091,1,"{6589}"
23,1,49,0,0.040811,"\int \frac{\text{PolyLog}\left(2,a x^2\right)}{x^3} \, dx","Int[PolyLog[2, a*x^2]/x^3,x]","-\frac{\text{PolyLog}\left(2,a x^2\right)}{2 x^2}-\frac{1}{2} a \log \left(1-a x^2\right)+\frac{\log \left(1-a x^2\right)}{2 x^2}+a \log (x)","-\frac{\text{PolyLog}\left(2,a x^2\right)}{2 x^2}-\frac{1}{2} a \log \left(1-a x^2\right)+\frac{\log \left(1-a x^2\right)}{2 x^2}+a \log (x)",1,"a*Log[x] - (a*Log[1 - a*x^2])/2 + Log[1 - a*x^2]/(2*x^2) - PolyLog[2, a*x^2]/(2*x^2)","A",6,6,11,0.5455,1,"{6591, 2454, 2395, 36, 29, 31}"
24,1,64,0,0.0500673,"\int \frac{\text{PolyLog}\left(2,a x^2\right)}{x^5} \, dx","Int[PolyLog[2, a*x^2]/x^5,x]","-\frac{\text{PolyLog}\left(2,a x^2\right)}{4 x^4}-\frac{1}{8} a^2 \log \left(1-a x^2\right)+\frac{1}{4} a^2 \log (x)-\frac{a}{8 x^2}+\frac{\log \left(1-a x^2\right)}{8 x^4}","-\frac{\text{PolyLog}\left(2,a x^2\right)}{4 x^4}-\frac{1}{8} a^2 \log \left(1-a x^2\right)+\frac{1}{4} a^2 \log (x)-\frac{a}{8 x^2}+\frac{\log \left(1-a x^2\right)}{8 x^4}",1,"-a/(8*x^2) + (a^2*Log[x])/4 - (a^2*Log[1 - a*x^2])/8 + Log[1 - a*x^2]/(8*x^4) - PolyLog[2, a*x^2]/(4*x^4)","A",5,4,11,0.3636,1,"{6591, 2454, 2395, 44}"
25,1,74,0,0.0541201,"\int \frac{\text{PolyLog}\left(2,a x^2\right)}{x^7} \, dx","Int[PolyLog[2, a*x^2]/x^7,x]","-\frac{\text{PolyLog}\left(2,a x^2\right)}{6 x^6}-\frac{a^2}{18 x^2}-\frac{1}{18} a^3 \log \left(1-a x^2\right)+\frac{1}{9} a^3 \log (x)-\frac{a}{36 x^4}+\frac{\log \left(1-a x^2\right)}{18 x^6}","-\frac{\text{PolyLog}\left(2,a x^2\right)}{6 x^6}-\frac{a^2}{18 x^2}-\frac{1}{18} a^3 \log \left(1-a x^2\right)+\frac{1}{9} a^3 \log (x)-\frac{a}{36 x^4}+\frac{\log \left(1-a x^2\right)}{18 x^6}",1,"-a/(36*x^4) - a^2/(18*x^2) + (a^3*Log[x])/9 - (a^3*Log[1 - a*x^2])/18 + Log[1 - a*x^2]/(18*x^6) - PolyLog[2, a*x^2]/(6*x^6)","A",5,4,11,0.3636,1,"{6591, 2454, 2395, 44}"
26,1,73,0,0.0450937,"\int x^4 \text{PolyLog}\left(2,a x^2\right) \, dx","Int[x^4*PolyLog[2, a*x^2],x]","\frac{1}{5} x^5 \text{PolyLog}\left(2,a x^2\right)-\frac{4 x}{25 a^2}+\frac{4 \tanh ^{-1}\left(\sqrt{a} x\right)}{25 a^{5/2}}-\frac{4 x^3}{75 a}+\frac{2}{25} x^5 \log \left(1-a x^2\right)-\frac{4 x^5}{125}","\frac{1}{5} x^5 \text{PolyLog}\left(2,a x^2\right)-\frac{4 x}{25 a^2}+\frac{4 \tanh ^{-1}\left(\sqrt{a} x\right)}{25 a^{5/2}}-\frac{4 x^3}{75 a}+\frac{2}{25} x^5 \log \left(1-a x^2\right)-\frac{4 x^5}{125}",1,"(-4*x)/(25*a^2) - (4*x^3)/(75*a) - (4*x^5)/125 + (4*ArcTanh[Sqrt[a]*x])/(25*a^(5/2)) + (2*x^5*Log[1 - a*x^2])/25 + (x^5*PolyLog[2, a*x^2])/5","A",5,4,11,0.3636,1,"{6591, 2455, 302, 206}"
27,1,63,0,0.0387699,"\int x^2 \text{PolyLog}\left(2,a x^2\right) \, dx","Int[x^2*PolyLog[2, a*x^2],x]","\frac{1}{3} x^3 \text{PolyLog}\left(2,a x^2\right)+\frac{4 \tanh ^{-1}\left(\sqrt{a} x\right)}{9 a^{3/2}}+\frac{2}{9} x^3 \log \left(1-a x^2\right)-\frac{4 x}{9 a}-\frac{4 x^3}{27}","\frac{1}{3} x^3 \text{PolyLog}\left(2,a x^2\right)+\frac{4 \tanh ^{-1}\left(\sqrt{a} x\right)}{9 a^{3/2}}+\frac{2}{9} x^3 \log \left(1-a x^2\right)-\frac{4 x}{9 a}-\frac{4 x^3}{27}",1,"(-4*x)/(9*a) - (4*x^3)/27 + (4*ArcTanh[Sqrt[a]*x])/(9*a^(3/2)) + (2*x^3*Log[1 - a*x^2])/9 + (x^3*PolyLog[2, a*x^2])/3","A",5,4,11,0.3636,1,"{6591, 2455, 302, 206}"
28,1,40,0,0.0174073,"\int \text{PolyLog}\left(2,a x^2\right) \, dx","Int[PolyLog[2, a*x^2],x]","x \text{PolyLog}\left(2,a x^2\right)+2 x \log \left(1-a x^2\right)+\frac{4 \tanh ^{-1}\left(\sqrt{a} x\right)}{\sqrt{a}}-4 x","x \text{PolyLog}\left(2,a x^2\right)+2 x \log \left(1-a x^2\right)+\frac{4 \tanh ^{-1}\left(\sqrt{a} x\right)}{\sqrt{a}}-4 x",1,"-4*x + (4*ArcTanh[Sqrt[a]*x])/Sqrt[a] + 2*x*Log[1 - a*x^2] + x*PolyLog[2, a*x^2]","A",4,4,7,0.5714,1,"{6586, 2448, 321, 206}"
29,1,42,0,0.0261791,"\int \frac{\text{PolyLog}\left(2,a x^2\right)}{x^2} \, dx","Int[PolyLog[2, a*x^2]/x^2,x]","-\frac{\text{PolyLog}\left(2,a x^2\right)}{x}+\frac{2 \log \left(1-a x^2\right)}{x}+4 \sqrt{a} \tanh ^{-1}\left(\sqrt{a} x\right)","-\frac{\text{PolyLog}\left(2,a x^2\right)}{x}+\frac{2 \log \left(1-a x^2\right)}{x}+4 \sqrt{a} \tanh ^{-1}\left(\sqrt{a} x\right)",1,"4*Sqrt[a]*ArcTanh[Sqrt[a]*x] + (2*Log[1 - a*x^2])/x - PolyLog[2, a*x^2]/x","A",3,3,11,0.2727,1,"{6591, 2455, 206}"
30,1,56,0,0.0321837,"\int \frac{\text{PolyLog}\left(2,a x^2\right)}{x^4} \, dx","Int[PolyLog[2, a*x^2]/x^4,x]","-\frac{\text{PolyLog}\left(2,a x^2\right)}{3 x^3}+\frac{4}{9} a^{3/2} \tanh ^{-1}\left(\sqrt{a} x\right)+\frac{2 \log \left(1-a x^2\right)}{9 x^3}-\frac{4 a}{9 x}","-\frac{\text{PolyLog}\left(2,a x^2\right)}{3 x^3}+\frac{4}{9} a^{3/2} \tanh ^{-1}\left(\sqrt{a} x\right)+\frac{2 \log \left(1-a x^2\right)}{9 x^3}-\frac{4 a}{9 x}",1,"(-4*a)/(9*x) + (4*a^(3/2)*ArcTanh[Sqrt[a]*x])/9 + (2*Log[1 - a*x^2])/(9*x^3) - PolyLog[2, a*x^2]/(3*x^3)","A",4,4,11,0.3636,1,"{6591, 2455, 325, 206}"
31,1,66,0,0.0376341,"\int \frac{\text{PolyLog}\left(2,a x^2\right)}{x^6} \, dx","Int[PolyLog[2, a*x^2]/x^6,x]","-\frac{\text{PolyLog}\left(2,a x^2\right)}{5 x^5}-\frac{4 a^2}{25 x}+\frac{4}{25} a^{5/2} \tanh ^{-1}\left(\sqrt{a} x\right)-\frac{4 a}{75 x^3}+\frac{2 \log \left(1-a x^2\right)}{25 x^5}","-\frac{\text{PolyLog}\left(2,a x^2\right)}{5 x^5}-\frac{4 a^2}{25 x}+\frac{4}{25} a^{5/2} \tanh ^{-1}\left(\sqrt{a} x\right)-\frac{4 a}{75 x^3}+\frac{2 \log \left(1-a x^2\right)}{25 x^5}",1,"(-4*a)/(75*x^3) - (4*a^2)/(25*x) + (4*a^(5/2)*ArcTanh[Sqrt[a]*x])/25 + (2*Log[1 - a*x^2])/(25*x^5) - PolyLog[2, a*x^2]/(5*x^5)","A",5,4,11,0.3636,1,"{6591, 2455, 325, 206}"
32,1,88,0,0.075215,"\int x^5 \text{PolyLog}\left(3,a x^2\right) \, dx","Int[x^5*PolyLog[3, a*x^2],x]","-\frac{1}{18} x^6 \text{PolyLog}\left(2,a x^2\right)+\frac{1}{6} x^6 \text{PolyLog}\left(3,a x^2\right)+\frac{x^2}{54 a^2}+\frac{\log \left(1-a x^2\right)}{54 a^3}+\frac{x^4}{108 a}-\frac{1}{54} x^6 \log \left(1-a x^2\right)+\frac{x^6}{162}","-\frac{1}{18} x^6 \text{PolyLog}\left(2,a x^2\right)+\frac{1}{6} x^6 \text{PolyLog}\left(3,a x^2\right)+\frac{x^2}{54 a^2}+\frac{\log \left(1-a x^2\right)}{54 a^3}+\frac{x^4}{108 a}-\frac{1}{54} x^6 \log \left(1-a x^2\right)+\frac{x^6}{162}",1,"x^2/(54*a^2) + x^4/(108*a) + x^6/162 + Log[1 - a*x^2]/(54*a^3) - (x^6*Log[1 - a*x^2])/54 - (x^6*PolyLog[2, a*x^2])/18 + (x^6*PolyLog[3, a*x^2])/6","A",6,4,11,0.3636,1,"{6591, 2454, 2395, 43}"
33,1,78,0,0.0606042,"\int x^3 \text{PolyLog}\left(3,a x^2\right) \, dx","Int[x^3*PolyLog[3, a*x^2],x]","-\frac{1}{8} x^4 \text{PolyLog}\left(2,a x^2\right)+\frac{1}{4} x^4 \text{PolyLog}\left(3,a x^2\right)+\frac{\log \left(1-a x^2\right)}{16 a^2}+\frac{x^2}{16 a}-\frac{1}{16} x^4 \log \left(1-a x^2\right)+\frac{x^4}{32}","-\frac{1}{8} x^4 \text{PolyLog}\left(2,a x^2\right)+\frac{1}{4} x^4 \text{PolyLog}\left(3,a x^2\right)+\frac{\log \left(1-a x^2\right)}{16 a^2}+\frac{x^2}{16 a}-\frac{1}{16} x^4 \log \left(1-a x^2\right)+\frac{x^4}{32}",1,"x^2/(16*a) + x^4/32 + Log[1 - a*x^2]/(16*a^2) - (x^4*Log[1 - a*x^2])/16 - (x^4*PolyLog[2, a*x^2])/8 + (x^4*PolyLog[3, a*x^2])/4","A",6,4,11,0.3636,1,"{6591, 2454, 2395, 43}"
34,1,60,0,0.029869,"\int x \text{PolyLog}\left(3,a x^2\right) \, dx","Int[x*PolyLog[3, a*x^2],x]","-\frac{1}{2} x^2 \text{PolyLog}\left(2,a x^2\right)+\frac{1}{2} x^2 \text{PolyLog}\left(3,a x^2\right)+\frac{\left(1-a x^2\right) \log \left(1-a x^2\right)}{2 a}+\frac{x^2}{2}","-\frac{1}{2} x^2 \text{PolyLog}\left(2,a x^2\right)+\frac{1}{2} x^2 \text{PolyLog}\left(3,a x^2\right)+\frac{\left(1-a x^2\right) \log \left(1-a x^2\right)}{2 a}+\frac{x^2}{2}",1,"x^2/2 + ((1 - a*x^2)*Log[1 - a*x^2])/(2*a) - (x^2*PolyLog[2, a*x^2])/2 + (x^2*PolyLog[3, a*x^2])/2","A",5,4,9,0.4444,1,"{6591, 2454, 2389, 2295}"
35,1,11,0,0.0090189,"\int \frac{\text{PolyLog}\left(3,a x^2\right)}{x} \, dx","Int[PolyLog[3, a*x^2]/x,x]","\frac{1}{2} \text{PolyLog}\left(4,a x^2\right)","\frac{1}{2} \text{PolyLog}\left(4,a x^2\right)",1,"PolyLog[4, a*x^2]/2","A",1,1,11,0.09091,1,"{6589}"
36,1,63,0,0.047025,"\int \frac{\text{PolyLog}\left(3,a x^2\right)}{x^3} \, dx","Int[PolyLog[3, a*x^2]/x^3,x]","-\frac{\text{PolyLog}\left(2,a x^2\right)}{2 x^2}-\frac{\text{PolyLog}\left(3,a x^2\right)}{2 x^2}-\frac{1}{2} a \log \left(1-a x^2\right)+\frac{\log \left(1-a x^2\right)}{2 x^2}+a \log (x)","-\frac{\text{PolyLog}\left(2,a x^2\right)}{2 x^2}-\frac{\text{PolyLog}\left(3,a x^2\right)}{2 x^2}-\frac{1}{2} a \log \left(1-a x^2\right)+\frac{\log \left(1-a x^2\right)}{2 x^2}+a \log (x)",1,"a*Log[x] - (a*Log[1 - a*x^2])/2 + Log[1 - a*x^2]/(2*x^2) - PolyLog[2, a*x^2]/(2*x^2) - PolyLog[3, a*x^2]/(2*x^2)","A",7,6,11,0.5455,1,"{6591, 2454, 2395, 36, 29, 31}"
37,1,78,0,0.0637554,"\int \frac{\text{PolyLog}\left(3,a x^2\right)}{x^5} \, dx","Int[PolyLog[3, a*x^2]/x^5,x]","-\frac{\text{PolyLog}\left(2,a x^2\right)}{8 x^4}-\frac{\text{PolyLog}\left(3,a x^2\right)}{4 x^4}-\frac{1}{16} a^2 \log \left(1-a x^2\right)+\frac{1}{8} a^2 \log (x)-\frac{a}{16 x^2}+\frac{\log \left(1-a x^2\right)}{16 x^4}","-\frac{\text{PolyLog}\left(2,a x^2\right)}{8 x^4}-\frac{\text{PolyLog}\left(3,a x^2\right)}{4 x^4}-\frac{1}{16} a^2 \log \left(1-a x^2\right)+\frac{1}{8} a^2 \log (x)-\frac{a}{16 x^2}+\frac{\log \left(1-a x^2\right)}{16 x^4}",1,"-a/(16*x^2) + (a^2*Log[x])/8 - (a^2*Log[1 - a*x^2])/16 + Log[1 - a*x^2]/(16*x^4) - PolyLog[2, a*x^2]/(8*x^4) - PolyLog[3, a*x^2]/(4*x^4)","A",6,4,11,0.3636,1,"{6591, 2454, 2395, 44}"
38,1,88,0,0.0654848,"\int \frac{\text{PolyLog}\left(3,a x^2\right)}{x^7} \, dx","Int[PolyLog[3, a*x^2]/x^7,x]","-\frac{\text{PolyLog}\left(2,a x^2\right)}{18 x^6}-\frac{\text{PolyLog}\left(3,a x^2\right)}{6 x^6}-\frac{a^2}{54 x^2}-\frac{1}{54} a^3 \log \left(1-a x^2\right)+\frac{1}{27} a^3 \log (x)-\frac{a}{108 x^4}+\frac{\log \left(1-a x^2\right)}{54 x^6}","-\frac{\text{PolyLog}\left(2,a x^2\right)}{18 x^6}-\frac{\text{PolyLog}\left(3,a x^2\right)}{6 x^6}-\frac{a^2}{54 x^2}-\frac{1}{54} a^3 \log \left(1-a x^2\right)+\frac{1}{27} a^3 \log (x)-\frac{a}{108 x^4}+\frac{\log \left(1-a x^2\right)}{54 x^6}",1,"-a/(108*x^4) - a^2/(54*x^2) + (a^3*Log[x])/27 - (a^3*Log[1 - a*x^2])/54 + Log[1 - a*x^2]/(54*x^6) - PolyLog[2, a*x^2]/(18*x^6) - PolyLog[3, a*x^2]/(6*x^6)","A",6,4,11,0.3636,1,"{6591, 2454, 2395, 44}"
39,1,87,0,0.0530276,"\int x^4 \text{PolyLog}\left(3,a x^2\right) \, dx","Int[x^4*PolyLog[3, a*x^2],x]","-\frac{2}{25} x^5 \text{PolyLog}\left(2,a x^2\right)+\frac{1}{5} x^5 \text{PolyLog}\left(3,a x^2\right)+\frac{8 x}{125 a^2}-\frac{8 \tanh ^{-1}\left(\sqrt{a} x\right)}{125 a^{5/2}}+\frac{8 x^3}{375 a}-\frac{4}{125} x^5 \log \left(1-a x^2\right)+\frac{8 x^5}{625}","-\frac{2}{25} x^5 \text{PolyLog}\left(2,a x^2\right)+\frac{1}{5} x^5 \text{PolyLog}\left(3,a x^2\right)+\frac{8 x}{125 a^2}-\frac{8 \tanh ^{-1}\left(\sqrt{a} x\right)}{125 a^{5/2}}+\frac{8 x^3}{375 a}-\frac{4}{125} x^5 \log \left(1-a x^2\right)+\frac{8 x^5}{625}",1,"(8*x)/(125*a^2) + (8*x^3)/(375*a) + (8*x^5)/625 - (8*ArcTanh[Sqrt[a]*x])/(125*a^(5/2)) - (4*x^5*Log[1 - a*x^2])/125 - (2*x^5*PolyLog[2, a*x^2])/25 + (x^5*PolyLog[3, a*x^2])/5","A",6,4,11,0.3636,1,"{6591, 2455, 302, 206}"
40,1,77,0,0.0489431,"\int x^2 \text{PolyLog}\left(3,a x^2\right) \, dx","Int[x^2*PolyLog[3, a*x^2],x]","-\frac{2}{9} x^3 \text{PolyLog}\left(2,a x^2\right)+\frac{1}{3} x^3 \text{PolyLog}\left(3,a x^2\right)-\frac{8 \tanh ^{-1}\left(\sqrt{a} x\right)}{27 a^{3/2}}-\frac{4}{27} x^3 \log \left(1-a x^2\right)+\frac{8 x}{27 a}+\frac{8 x^3}{81}","-\frac{2}{9} x^3 \text{PolyLog}\left(2,a x^2\right)+\frac{1}{3} x^3 \text{PolyLog}\left(3,a x^2\right)-\frac{8 \tanh ^{-1}\left(\sqrt{a} x\right)}{27 a^{3/2}}-\frac{4}{27} x^3 \log \left(1-a x^2\right)+\frac{8 x}{27 a}+\frac{8 x^3}{81}",1,"(8*x)/(27*a) + (8*x^3)/81 - (8*ArcTanh[Sqrt[a]*x])/(27*a^(3/2)) - (4*x^3*Log[1 - a*x^2])/27 - (2*x^3*PolyLog[2, a*x^2])/9 + (x^3*PolyLog[3, a*x^2])/3","A",6,4,11,0.3636,1,"{6591, 2455, 302, 206}"
41,1,50,0,0.0233193,"\int \text{PolyLog}\left(3,a x^2\right) \, dx","Int[PolyLog[3, a*x^2],x]","-2 x \text{PolyLog}\left(2,a x^2\right)+x \text{PolyLog}\left(3,a x^2\right)-4 x \log \left(1-a x^2\right)-\frac{8 \tanh ^{-1}\left(\sqrt{a} x\right)}{\sqrt{a}}+8 x","-2 x \text{PolyLog}\left(2,a x^2\right)+x \text{PolyLog}\left(3,a x^2\right)-4 x \log \left(1-a x^2\right)-\frac{8 \tanh ^{-1}\left(\sqrt{a} x\right)}{\sqrt{a}}+8 x",1,"8*x - (8*ArcTanh[Sqrt[a]*x])/Sqrt[a] - 4*x*Log[1 - a*x^2] - 2*x*PolyLog[2, a*x^2] + x*PolyLog[3, a*x^2]","A",5,4,7,0.5714,1,"{6586, 2448, 321, 206}"
42,1,54,0,0.0357649,"\int \frac{\text{PolyLog}\left(3,a x^2\right)}{x^2} \, dx","Int[PolyLog[3, a*x^2]/x^2,x]","-\frac{2 \text{PolyLog}\left(2,a x^2\right)}{x}-\frac{\text{PolyLog}\left(3,a x^2\right)}{x}+\frac{4 \log \left(1-a x^2\right)}{x}+8 \sqrt{a} \tanh ^{-1}\left(\sqrt{a} x\right)","-\frac{2 \text{PolyLog}\left(2,a x^2\right)}{x}-\frac{\text{PolyLog}\left(3,a x^2\right)}{x}+\frac{4 \log \left(1-a x^2\right)}{x}+8 \sqrt{a} \tanh ^{-1}\left(\sqrt{a} x\right)",1,"8*Sqrt[a]*ArcTanh[Sqrt[a]*x] + (4*Log[1 - a*x^2])/x - (2*PolyLog[2, a*x^2])/x - PolyLog[3, a*x^2]/x","A",4,3,11,0.2727,1,"{6591, 2455, 206}"
43,1,70,0,0.0409967,"\int \frac{\text{PolyLog}\left(3,a x^2\right)}{x^4} \, dx","Int[PolyLog[3, a*x^2]/x^4,x]","-\frac{2 \text{PolyLog}\left(2,a x^2\right)}{9 x^3}-\frac{\text{PolyLog}\left(3,a x^2\right)}{3 x^3}+\frac{8}{27} a^{3/2} \tanh ^{-1}\left(\sqrt{a} x\right)+\frac{4 \log \left(1-a x^2\right)}{27 x^3}-\frac{8 a}{27 x}","-\frac{2 \text{PolyLog}\left(2,a x^2\right)}{9 x^3}-\frac{\text{PolyLog}\left(3,a x^2\right)}{3 x^3}+\frac{8}{27} a^{3/2} \tanh ^{-1}\left(\sqrt{a} x\right)+\frac{4 \log \left(1-a x^2\right)}{27 x^3}-\frac{8 a}{27 x}",1,"(-8*a)/(27*x) + (8*a^(3/2)*ArcTanh[Sqrt[a]*x])/27 + (4*Log[1 - a*x^2])/(27*x^3) - (2*PolyLog[2, a*x^2])/(9*x^3) - PolyLog[3, a*x^2]/(3*x^3)","A",5,4,11,0.3636,1,"{6591, 2455, 325, 206}"
44,1,80,0,0.0469064,"\int \frac{\text{PolyLog}\left(3,a x^2\right)}{x^6} \, dx","Int[PolyLog[3, a*x^2]/x^6,x]","-\frac{2 \text{PolyLog}\left(2,a x^2\right)}{25 x^5}-\frac{\text{PolyLog}\left(3,a x^2\right)}{5 x^5}-\frac{8 a^2}{125 x}+\frac{8}{125} a^{5/2} \tanh ^{-1}\left(\sqrt{a} x\right)-\frac{8 a}{375 x^3}+\frac{4 \log \left(1-a x^2\right)}{125 x^5}","-\frac{2 \text{PolyLog}\left(2,a x^2\right)}{25 x^5}-\frac{\text{PolyLog}\left(3,a x^2\right)}{5 x^5}-\frac{8 a^2}{125 x}+\frac{8}{125} a^{5/2} \tanh ^{-1}\left(\sqrt{a} x\right)-\frac{8 a}{375 x^3}+\frac{4 \log \left(1-a x^2\right)}{125 x^5}",1,"(-8*a)/(375*x^3) - (8*a^2)/(125*x) + (8*a^(5/2)*ArcTanh[Sqrt[a]*x])/125 + (4*Log[1 - a*x^2])/(125*x^5) - (2*PolyLog[2, a*x^2])/(25*x^5) - PolyLog[3, a*x^2]/(5*x^5)","A",6,4,11,0.3636,1,"{6591, 2455, 325, 206}"
45,1,71,0,0.0373625,"\int x^2 \text{PolyLog}\left(2,a x^q\right) \, dx","Int[x^2*PolyLog[2, a*x^q],x]","\frac{1}{3} x^3 \text{PolyLog}\left(2,a x^q\right)+\frac{a q^2 x^{q+3} \, _2F_1\left(1,\frac{q+3}{q};2+\frac{3}{q};a x^q\right)}{9 (q+3)}+\frac{1}{9} q x^3 \log \left(1-a x^q\right)","\frac{1}{3} x^3 \text{PolyLog}\left(2,a x^q\right)+\frac{a q^2 x^{q+3} \, _2F_1\left(1,\frac{q+3}{q};2+\frac{3}{q};a x^q\right)}{9 (q+3)}+\frac{1}{9} q x^3 \log \left(1-a x^q\right)",1,"(a*q^2*x^(3 + q)*Hypergeometric2F1[1, (3 + q)/q, 2 + 3/q, a*x^q])/(9*(3 + q)) + (q*x^3*Log[1 - a*x^q])/9 + (x^3*PolyLog[2, a*x^q])/3","A",3,3,11,0.2727,1,"{6591, 2455, 364}"
46,1,71,0,0.0317548,"\int x \text{PolyLog}\left(2,a x^q\right) \, dx","Int[x*PolyLog[2, a*x^q],x]","\frac{1}{2} x^2 \text{PolyLog}\left(2,a x^q\right)+\frac{a q^2 x^{q+2} \, _2F_1\left(1,\frac{q+2}{q};2 \left(1+\frac{1}{q}\right);a x^q\right)}{4 (q+2)}+\frac{1}{4} q x^2 \log \left(1-a x^q\right)","\frac{1}{2} x^2 \text{PolyLog}\left(2,a x^q\right)+\frac{a q^2 x^{q+2} \, _2F_1\left(1,\frac{q+2}{q};2 \left(1+\frac{1}{q}\right);a x^q\right)}{4 (q+2)}+\frac{1}{4} q x^2 \log \left(1-a x^q\right)",1,"(a*q^2*x^(2 + q)*Hypergeometric2F1[1, (2 + q)/q, 2*(1 + q^(-1)), a*x^q])/(4*(2 + q)) + (q*x^2*Log[1 - a*x^q])/4 + (x^2*PolyLog[2, a*x^q])/2","A",3,3,9,0.3333,1,"{6591, 2455, 364}"
47,1,54,0,0.023219,"\int \text{PolyLog}\left(2,a x^q\right) \, dx","Int[PolyLog[2, a*x^q],x]","x \text{PolyLog}\left(2,a x^q\right)+\frac{a q^2 x^{q+1} \, _2F_1\left(1,1+\frac{1}{q};2+\frac{1}{q};a x^q\right)}{q+1}+q x \log \left(1-a x^q\right)","x \text{PolyLog}\left(2,a x^q\right)+\frac{a q^2 x^{q+1} \, _2F_1\left(1,1+\frac{1}{q};2+\frac{1}{q};a x^q\right)}{q+1}+q x \log \left(1-a x^q\right)",1,"(a*q^2*x^(1 + q)*Hypergeometric2F1[1, 1 + q^(-1), 2 + q^(-1), a*x^q])/(1 + q) + q*x*Log[1 - a*x^q] + x*PolyLog[2, a*x^q]","A",3,3,7,0.4286,1,"{6586, 2448, 364}"
48,1,11,0,0.0102243,"\int \frac{\text{PolyLog}\left(2,a x^q\right)}{x} \, dx","Int[PolyLog[2, a*x^q]/x,x]","\frac{\text{PolyLog}\left(3,a x^q\right)}{q}","\frac{\text{PolyLog}\left(3,a x^q\right)}{q}",1,"PolyLog[3, a*x^q]/q","A",1,1,11,0.09091,1,"{6589}"
49,1,69,0,0.0393505,"\int \frac{\text{PolyLog}\left(2,a x^q\right)}{x^2} \, dx","Int[PolyLog[2, a*x^q]/x^2,x]","-\frac{\text{PolyLog}\left(2,a x^q\right)}{x}-\frac{a q^2 x^{q-1} \, _2F_1\left(1,-\frac{1-q}{q};2-\frac{1}{q};a x^q\right)}{1-q}+\frac{q \log \left(1-a x^q\right)}{x}","-\frac{\text{PolyLog}\left(2,a x^q\right)}{x}-\frac{a q^2 x^{q-1} \, _2F_1\left(1,-\frac{1-q}{q};2-\frac{1}{q};a x^q\right)}{1-q}+\frac{q \log \left(1-a x^q\right)}{x}",1,"-((a*q^2*x^(-1 + q)*Hypergeometric2F1[1, -((1 - q)/q), 2 - q^(-1), a*x^q])/(1 - q)) + (q*Log[1 - a*x^q])/x - PolyLog[2, a*x^q]/x","A",3,3,11,0.2727,1,"{6591, 2455, 364}"
50,1,78,0,0.0418889,"\int \frac{\text{PolyLog}\left(2,a x^q\right)}{x^3} \, dx","Int[PolyLog[2, a*x^q]/x^3,x]","-\frac{\text{PolyLog}\left(2,a x^q\right)}{2 x^2}-\frac{a q^2 x^{q-2} \, _2F_1\left(1,-\frac{2-q}{q};2 \left(1-\frac{1}{q}\right);a x^q\right)}{4 (2-q)}+\frac{q \log \left(1-a x^q\right)}{4 x^2}","-\frac{\text{PolyLog}\left(2,a x^q\right)}{2 x^2}-\frac{a q^2 x^{q-2} \, _2F_1\left(1,-\frac{2-q}{q};2 \left(1-\frac{1}{q}\right);a x^q\right)}{4 (2-q)}+\frac{q \log \left(1-a x^q\right)}{4 x^2}",1,"-(a*q^2*x^(-2 + q)*Hypergeometric2F1[1, -((2 - q)/q), 2*(1 - q^(-1)), a*x^q])/(4*(2 - q)) + (q*Log[1 - a*x^q])/(4*x^2) - PolyLog[2, a*x^q]/(2*x^2)","A",3,3,11,0.2727,1,"{6591, 2455, 364}"
51,1,76,0,0.040045,"\int \frac{\text{PolyLog}\left(2,a x^q\right)}{x^4} \, dx","Int[PolyLog[2, a*x^q]/x^4,x]","-\frac{\text{PolyLog}\left(2,a x^q\right)}{3 x^3}-\frac{a q^2 x^{q-3} \, _2F_1\left(1,-\frac{3-q}{q};2-\frac{3}{q};a x^q\right)}{9 (3-q)}+\frac{q \log \left(1-a x^q\right)}{9 x^3}","-\frac{\text{PolyLog}\left(2,a x^q\right)}{3 x^3}-\frac{a q^2 x^{q-3} \, _2F_1\left(1,-\frac{3-q}{q};2-\frac{3}{q};a x^q\right)}{9 (3-q)}+\frac{q \log \left(1-a x^q\right)}{9 x^3}",1,"-(a*q^2*x^(-3 + q)*Hypergeometric2F1[1, -((3 - q)/q), 2 - 3/q, a*x^q])/(9*(3 - q)) + (q*Log[1 - a*x^q])/(9*x^3) - PolyLog[2, a*x^q]/(3*x^3)","A",3,3,11,0.2727,1,"{6591, 2455, 364}"
52,1,88,0,0.0515477,"\int x^2 \text{PolyLog}\left(3,a x^q\right) \, dx","Int[x^2*PolyLog[3, a*x^q],x]","-\frac{1}{9} q x^3 \text{PolyLog}\left(2,a x^q\right)+\frac{1}{3} x^3 \text{PolyLog}\left(3,a x^q\right)-\frac{a q^3 x^{q+3} \, _2F_1\left(1,\frac{q+3}{q};2+\frac{3}{q};a x^q\right)}{27 (q+3)}-\frac{1}{27} q^2 x^3 \log \left(1-a x^q\right)","-\frac{1}{9} q x^3 \text{PolyLog}\left(2,a x^q\right)+\frac{1}{3} x^3 \text{PolyLog}\left(3,a x^q\right)-\frac{a q^3 x^{q+3} \, _2F_1\left(1,\frac{q+3}{q};2+\frac{3}{q};a x^q\right)}{27 (q+3)}-\frac{1}{27} q^2 x^3 \log \left(1-a x^q\right)",1,"-(a*q^3*x^(3 + q)*Hypergeometric2F1[1, (3 + q)/q, 2 + 3/q, a*x^q])/(27*(3 + q)) - (q^2*x^3*Log[1 - a*x^q])/27 - (q*x^3*PolyLog[2, a*x^q])/9 + (x^3*PolyLog[3, a*x^q])/3","A",4,3,11,0.2727,1,"{6591, 2455, 364}"
53,1,88,0,0.0425662,"\int x \text{PolyLog}\left(3,a x^q\right) \, dx","Int[x*PolyLog[3, a*x^q],x]","-\frac{1}{4} q x^2 \text{PolyLog}\left(2,a x^q\right)+\frac{1}{2} x^2 \text{PolyLog}\left(3,a x^q\right)-\frac{a q^3 x^{q+2} \, _2F_1\left(1,\frac{q+2}{q};2 \left(1+\frac{1}{q}\right);a x^q\right)}{8 (q+2)}-\frac{1}{8} q^2 x^2 \log \left(1-a x^q\right)","-\frac{1}{4} q x^2 \text{PolyLog}\left(2,a x^q\right)+\frac{1}{2} x^2 \text{PolyLog}\left(3,a x^q\right)-\frac{a q^3 x^{q+2} \, _2F_1\left(1,\frac{q+2}{q};2 \left(1+\frac{1}{q}\right);a x^q\right)}{8 (q+2)}-\frac{1}{8} q^2 x^2 \log \left(1-a x^q\right)",1,"-(a*q^3*x^(2 + q)*Hypergeometric2F1[1, (2 + q)/q, 2*(1 + q^(-1)), a*x^q])/(8*(2 + q)) - (q^2*x^2*Log[1 - a*x^q])/8 - (q*x^2*PolyLog[2, a*x^q])/4 + (x^2*PolyLog[3, a*x^q])/2","A",4,3,9,0.3333,1,"{6591, 2455, 364}"
54,1,69,0,0.0280803,"\int \text{PolyLog}\left(3,a x^q\right) \, dx","Int[PolyLog[3, a*x^q],x]","-q x \text{PolyLog}\left(2,a x^q\right)+x \text{PolyLog}\left(3,a x^q\right)-\frac{a q^3 x^{q+1} \, _2F_1\left(1,1+\frac{1}{q};2+\frac{1}{q};a x^q\right)}{q+1}-q^2 x \log \left(1-a x^q\right)","-q x \text{PolyLog}\left(2,a x^q\right)+x \text{PolyLog}\left(3,a x^q\right)-\frac{a q^3 x^{q+1} \, _2F_1\left(1,1+\frac{1}{q};2+\frac{1}{q};a x^q\right)}{q+1}-q^2 x \log \left(1-a x^q\right)",1,"-((a*q^3*x^(1 + q)*Hypergeometric2F1[1, 1 + q^(-1), 2 + q^(-1), a*x^q])/(1 + q)) - q^2*x*Log[1 - a*x^q] - q*x*PolyLog[2, a*x^q] + x*PolyLog[3, a*x^q]","A",4,3,7,0.4286,1,"{6586, 2448, 364}"
55,1,11,0,0.0097364,"\int \frac{\text{PolyLog}\left(3,a x^q\right)}{x} \, dx","Int[PolyLog[3, a*x^q]/x,x]","\frac{\text{PolyLog}\left(4,a x^q\right)}{q}","\frac{\text{PolyLog}\left(4,a x^q\right)}{q}",1,"PolyLog[4, a*x^q]/q","A",1,1,11,0.09091,1,"{6589}"
56,1,84,0,0.0501811,"\int \frac{\text{PolyLog}\left(3,a x^q\right)}{x^2} \, dx","Int[PolyLog[3, a*x^q]/x^2,x]","-\frac{q \text{PolyLog}\left(2,a x^q\right)}{x}-\frac{\text{PolyLog}\left(3,a x^q\right)}{x}-\frac{a q^3 x^{q-1} \, _2F_1\left(1,-\frac{1-q}{q};2-\frac{1}{q};a x^q\right)}{1-q}+\frac{q^2 \log \left(1-a x^q\right)}{x}","-\frac{q \text{PolyLog}\left(2,a x^q\right)}{x}-\frac{\text{PolyLog}\left(3,a x^q\right)}{x}-\frac{a q^3 x^{q-1} \, _2F_1\left(1,-\frac{1-q}{q};2-\frac{1}{q};a x^q\right)}{1-q}+\frac{q^2 \log \left(1-a x^q\right)}{x}",1,"-((a*q^3*x^(-1 + q)*Hypergeometric2F1[1, -((1 - q)/q), 2 - q^(-1), a*x^q])/(1 - q)) + (q^2*Log[1 - a*x^q])/x - (q*PolyLog[2, a*x^q])/x - PolyLog[3, a*x^q]/x","A",4,3,11,0.2727,1,"{6591, 2455, 364}"
57,1,95,0,0.0502811,"\int \frac{\text{PolyLog}\left(3,a x^q\right)}{x^3} \, dx","Int[PolyLog[3, a*x^q]/x^3,x]","-\frac{q \text{PolyLog}\left(2,a x^q\right)}{4 x^2}-\frac{\text{PolyLog}\left(3,a x^q\right)}{2 x^2}-\frac{a q^3 x^{q-2} \, _2F_1\left(1,-\frac{2-q}{q};2 \left(1-\frac{1}{q}\right);a x^q\right)}{8 (2-q)}+\frac{q^2 \log \left(1-a x^q\right)}{8 x^2}","-\frac{q \text{PolyLog}\left(2,a x^q\right)}{4 x^2}-\frac{\text{PolyLog}\left(3,a x^q\right)}{2 x^2}-\frac{a q^3 x^{q-2} \, _2F_1\left(1,-\frac{2-q}{q};2 \left(1-\frac{1}{q}\right);a x^q\right)}{8 (2-q)}+\frac{q^2 \log \left(1-a x^q\right)}{8 x^2}",1,"-(a*q^3*x^(-2 + q)*Hypergeometric2F1[1, -((2 - q)/q), 2*(1 - q^(-1)), a*x^q])/(8*(2 - q)) + (q^2*Log[1 - a*x^q])/(8*x^2) - (q*PolyLog[2, a*x^q])/(4*x^2) - PolyLog[3, a*x^q]/(2*x^2)","A",4,3,11,0.2727,1,"{6591, 2455, 364}"
58,1,93,0,0.0508152,"\int \frac{\text{PolyLog}\left(3,a x^q\right)}{x^4} \, dx","Int[PolyLog[3, a*x^q]/x^4,x]","-\frac{q \text{PolyLog}\left(2,a x^q\right)}{9 x^3}-\frac{\text{PolyLog}\left(3,a x^q\right)}{3 x^3}-\frac{a q^3 x^{q-3} \, _2F_1\left(1,-\frac{3-q}{q};2-\frac{3}{q};a x^q\right)}{27 (3-q)}+\frac{q^2 \log \left(1-a x^q\right)}{27 x^3}","-\frac{q \text{PolyLog}\left(2,a x^q\right)}{9 x^3}-\frac{\text{PolyLog}\left(3,a x^q\right)}{3 x^3}-\frac{a q^3 x^{q-3} \, _2F_1\left(1,-\frac{3-q}{q};2-\frac{3}{q};a x^q\right)}{27 (3-q)}+\frac{q^2 \log \left(1-a x^q\right)}{27 x^3}",1,"-(a*q^3*x^(-3 + q)*Hypergeometric2F1[1, -((3 - q)/q), 2 - 3/q, a*x^q])/(27*(3 - q)) + (q^2*Log[1 - a*x^q])/(27*x^3) - (q*PolyLog[2, a*x^q])/(9*x^3) - PolyLog[3, a*x^q]/(3*x^3)","A",4,3,11,0.2727,1,"{6591, 2455, 364}"
59,1,117,0,0.0721405,"\int (d x)^{3/2} \text{PolyLog}(2,a x) \, dx","Int[(d*x)^(3/2)*PolyLog[2, a*x],x]","\frac{2 (d x)^{5/2} \text{PolyLog}(2,a x)}{5 d}+\frac{8 d^{3/2} \tanh ^{-1}\left(\frac{\sqrt{a} \sqrt{d x}}{\sqrt{d}}\right)}{25 a^{5/2}}-\frac{8 d \sqrt{d x}}{25 a^2}-\frac{8 (d x)^{3/2}}{75 a}+\frac{4 (d x)^{5/2} \log (1-a x)}{25 d}-\frac{8 (d x)^{5/2}}{125 d}","\frac{2 (d x)^{5/2} \text{PolyLog}(2,a x)}{5 d}+\frac{8 d^{3/2} \tanh ^{-1}\left(\frac{\sqrt{a} \sqrt{d x}}{\sqrt{d}}\right)}{25 a^{5/2}}-\frac{8 d \sqrt{d x}}{25 a^2}-\frac{8 (d x)^{3/2}}{75 a}+\frac{4 (d x)^{5/2} \log (1-a x)}{25 d}-\frac{8 (d x)^{5/2}}{125 d}",1,"(-8*d*Sqrt[d*x])/(25*a^2) - (8*(d*x)^(3/2))/(75*a) - (8*(d*x)^(5/2))/(125*d) + (8*d^(3/2)*ArcTanh[(Sqrt[a]*Sqrt[d*x])/Sqrt[d]])/(25*a^(5/2)) + (4*(d*x)^(5/2)*Log[1 - a*x])/(25*d) + (2*(d*x)^(5/2)*PolyLog[2, a*x])/(5*d)","A",7,5,13,0.3846,1,"{6591, 2395, 50, 63, 206}"
60,1,102,0,0.0530667,"\int \sqrt{d x} \text{PolyLog}(2,a x) \, dx","Int[Sqrt[d*x]*PolyLog[2, a*x],x]","\frac{2 (d x)^{3/2} \text{PolyLog}(2,a x)}{3 d}+\frac{8 \sqrt{d} \tanh ^{-1}\left(\frac{\sqrt{a} \sqrt{d x}}{\sqrt{d}}\right)}{9 a^{3/2}}-\frac{8 \sqrt{d x}}{9 a}+\frac{4 (d x)^{3/2} \log (1-a x)}{9 d}-\frac{8 (d x)^{3/2}}{27 d}","\frac{2 (d x)^{3/2} \text{PolyLog}(2,a x)}{3 d}+\frac{8 \sqrt{d} \tanh ^{-1}\left(\frac{\sqrt{a} \sqrt{d x}}{\sqrt{d}}\right)}{9 a^{3/2}}-\frac{8 \sqrt{d x}}{9 a}+\frac{4 (d x)^{3/2} \log (1-a x)}{9 d}-\frac{8 (d x)^{3/2}}{27 d}",1,"(-8*Sqrt[d*x])/(9*a) - (8*(d*x)^(3/2))/(27*d) + (8*Sqrt[d]*ArcTanh[(Sqrt[a]*Sqrt[d*x])/Sqrt[d]])/(9*a^(3/2)) + (4*(d*x)^(3/2)*Log[1 - a*x])/(9*d) + (2*(d*x)^(3/2)*PolyLog[2, a*x])/(3*d)","A",6,5,13,0.3846,1,"{6591, 2395, 50, 63, 206}"
61,1,80,0,0.0458829,"\int \frac{\text{PolyLog}(2,a x)}{\sqrt{d x}} \, dx","Int[PolyLog[2, a*x]/Sqrt[d*x],x]","\frac{2 \sqrt{d x} \text{PolyLog}(2,a x)}{d}+\frac{4 \sqrt{d x} \log (1-a x)}{d}+\frac{8 \tanh ^{-1}\left(\frac{\sqrt{a} \sqrt{d x}}{\sqrt{d}}\right)}{\sqrt{a} \sqrt{d}}-\frac{8 \sqrt{d x}}{d}","\frac{2 \sqrt{d x} \text{PolyLog}(2,a x)}{d}+\frac{4 \sqrt{d x} \log (1-a x)}{d}+\frac{8 \tanh ^{-1}\left(\frac{\sqrt{a} \sqrt{d x}}{\sqrt{d}}\right)}{\sqrt{a} \sqrt{d}}-\frac{8 \sqrt{d x}}{d}",1,"(-8*Sqrt[d*x])/d + (8*ArcTanh[(Sqrt[a]*Sqrt[d*x])/Sqrt[d]])/(Sqrt[a]*Sqrt[d]) + (4*Sqrt[d*x]*Log[1 - a*x])/d + (2*Sqrt[d*x]*PolyLog[2, a*x])/d","A",5,5,13,0.3846,1,"{6591, 2395, 50, 63, 206}"
62,1,68,0,0.0431147,"\int \frac{\text{PolyLog}(2,a x)}{(d x)^{3/2}} \, dx","Int[PolyLog[2, a*x]/(d*x)^(3/2),x]","-\frac{2 \text{PolyLog}(2,a x)}{d \sqrt{d x}}+\frac{8 \sqrt{a} \tanh ^{-1}\left(\frac{\sqrt{a} \sqrt{d x}}{\sqrt{d}}\right)}{d^{3/2}}+\frac{4 \log (1-a x)}{d \sqrt{d x}}","-\frac{2 \text{PolyLog}(2,a x)}{d \sqrt{d x}}+\frac{8 \sqrt{a} \tanh ^{-1}\left(\frac{\sqrt{a} \sqrt{d x}}{\sqrt{d}}\right)}{d^{3/2}}+\frac{4 \log (1-a x)}{d \sqrt{d x}}",1,"(8*Sqrt[a]*ArcTanh[(Sqrt[a]*Sqrt[d*x])/Sqrt[d]])/d^(3/2) + (4*Log[1 - a*x])/(d*Sqrt[d*x]) - (2*PolyLog[2, a*x])/(d*Sqrt[d*x])","A",4,4,13,0.3077,1,"{6591, 2395, 63, 206}"
63,1,89,0,0.0504307,"\int \frac{\text{PolyLog}(2,a x)}{(d x)^{5/2}} \, dx","Int[PolyLog[2, a*x]/(d*x)^(5/2),x]","-\frac{2 \text{PolyLog}(2,a x)}{3 d (d x)^{3/2}}+\frac{8 a^{3/2} \tanh ^{-1}\left(\frac{\sqrt{a} \sqrt{d x}}{\sqrt{d}}\right)}{9 d^{5/2}}-\frac{8 a}{9 d^2 \sqrt{d x}}+\frac{4 \log (1-a x)}{9 d (d x)^{3/2}}","-\frac{2 \text{PolyLog}(2,a x)}{3 d (d x)^{3/2}}+\frac{8 a^{3/2} \tanh ^{-1}\left(\frac{\sqrt{a} \sqrt{d x}}{\sqrt{d}}\right)}{9 d^{5/2}}-\frac{8 a}{9 d^2 \sqrt{d x}}+\frac{4 \log (1-a x)}{9 d (d x)^{3/2}}",1,"(-8*a)/(9*d^2*Sqrt[d*x]) + (8*a^(3/2)*ArcTanh[(Sqrt[a]*Sqrt[d*x])/Sqrt[d]])/(9*d^(5/2)) + (4*Log[1 - a*x])/(9*d*(d*x)^(3/2)) - (2*PolyLog[2, a*x])/(3*d*(d*x)^(3/2))","A",5,5,13,0.3846,1,"{6591, 2395, 51, 63, 206}"
64,1,106,0,0.057124,"\int \frac{\text{PolyLog}(2,a x)}{(d x)^{7/2}} \, dx","Int[PolyLog[2, a*x]/(d*x)^(7/2),x]","-\frac{2 \text{PolyLog}(2,a x)}{5 d (d x)^{5/2}}-\frac{8 a^2}{25 d^3 \sqrt{d x}}+\frac{8 a^{5/2} \tanh ^{-1}\left(\frac{\sqrt{a} \sqrt{d x}}{\sqrt{d}}\right)}{25 d^{7/2}}-\frac{8 a}{75 d^2 (d x)^{3/2}}+\frac{4 \log (1-a x)}{25 d (d x)^{5/2}}","-\frac{2 \text{PolyLog}(2,a x)}{5 d (d x)^{5/2}}-\frac{8 a^2}{25 d^3 \sqrt{d x}}+\frac{8 a^{5/2} \tanh ^{-1}\left(\frac{\sqrt{a} \sqrt{d x}}{\sqrt{d}}\right)}{25 d^{7/2}}-\frac{8 a}{75 d^2 (d x)^{3/2}}+\frac{4 \log (1-a x)}{25 d (d x)^{5/2}}",1,"(-8*a)/(75*d^2*(d*x)^(3/2)) - (8*a^2)/(25*d^3*Sqrt[d*x]) + (8*a^(5/2)*ArcTanh[(Sqrt[a]*Sqrt[d*x])/Sqrt[d]])/(25*d^(7/2)) + (4*Log[1 - a*x])/(25*d*(d*x)^(5/2)) - (2*PolyLog[2, a*x])/(5*d*(d*x)^(5/2))","A",6,5,13,0.3846,1,"{6591, 2395, 51, 63, 206}"
65,1,153,0,0.0982584,"\int (d x)^{5/2} \text{PolyLog}(3,a x) \, dx","Int[(d*x)^(5/2)*PolyLog[3, a*x],x]","-\frac{4 (d x)^{7/2} \text{PolyLog}(2,a x)}{49 d}+\frac{2 (d x)^{7/2} \text{PolyLog}(3,a x)}{7 d}+\frac{16 d^2 \sqrt{d x}}{343 a^3}-\frac{16 d^{5/2} \tanh ^{-1}\left(\frac{\sqrt{a} \sqrt{d x}}{\sqrt{d}}\right)}{343 a^{7/2}}+\frac{16 d (d x)^{3/2}}{1029 a^2}+\frac{16 (d x)^{5/2}}{1715 a}-\frac{8 (d x)^{7/2} \log (1-a x)}{343 d}+\frac{16 (d x)^{7/2}}{2401 d}","-\frac{4 (d x)^{7/2} \text{PolyLog}(2,a x)}{49 d}+\frac{2 (d x)^{7/2} \text{PolyLog}(3,a x)}{7 d}+\frac{16 d^2 \sqrt{d x}}{343 a^3}-\frac{16 d^{5/2} \tanh ^{-1}\left(\frac{\sqrt{a} \sqrt{d x}}{\sqrt{d}}\right)}{343 a^{7/2}}+\frac{16 d (d x)^{3/2}}{1029 a^2}+\frac{16 (d x)^{5/2}}{1715 a}-\frac{8 (d x)^{7/2} \log (1-a x)}{343 d}+\frac{16 (d x)^{7/2}}{2401 d}",1,"(16*d^2*Sqrt[d*x])/(343*a^3) + (16*d*(d*x)^(3/2))/(1029*a^2) + (16*(d*x)^(5/2))/(1715*a) + (16*(d*x)^(7/2))/(2401*d) - (16*d^(5/2)*ArcTanh[(Sqrt[a]*Sqrt[d*x])/Sqrt[d]])/(343*a^(7/2)) - (8*(d*x)^(7/2)*Log[1 - a*x])/(343*d) - (4*(d*x)^(7/2)*PolyLog[2, a*x])/(49*d) + (2*(d*x)^(7/2)*PolyLog[3, a*x])/(7*d)","A",9,5,13,0.3846,1,"{6591, 2395, 50, 63, 206}"
66,1,136,0,0.0834981,"\int (d x)^{3/2} \text{PolyLog}(3,a x) \, dx","Int[(d*x)^(3/2)*PolyLog[3, a*x],x]","-\frac{4 (d x)^{5/2} \text{PolyLog}(2,a x)}{25 d}+\frac{2 (d x)^{5/2} \text{PolyLog}(3,a x)}{5 d}-\frac{16 d^{3/2} \tanh ^{-1}\left(\frac{\sqrt{a} \sqrt{d x}}{\sqrt{d}}\right)}{125 a^{5/2}}+\frac{16 d \sqrt{d x}}{125 a^2}+\frac{16 (d x)^{3/2}}{375 a}-\frac{8 (d x)^{5/2} \log (1-a x)}{125 d}+\frac{16 (d x)^{5/2}}{625 d}","-\frac{4 (d x)^{5/2} \text{PolyLog}(2,a x)}{25 d}+\frac{2 (d x)^{5/2} \text{PolyLog}(3,a x)}{5 d}-\frac{16 d^{3/2} \tanh ^{-1}\left(\frac{\sqrt{a} \sqrt{d x}}{\sqrt{d}}\right)}{125 a^{5/2}}+\frac{16 d \sqrt{d x}}{125 a^2}+\frac{16 (d x)^{3/2}}{375 a}-\frac{8 (d x)^{5/2} \log (1-a x)}{125 d}+\frac{16 (d x)^{5/2}}{625 d}",1,"(16*d*Sqrt[d*x])/(125*a^2) + (16*(d*x)^(3/2))/(375*a) + (16*(d*x)^(5/2))/(625*d) - (16*d^(3/2)*ArcTanh[(Sqrt[a]*Sqrt[d*x])/Sqrt[d]])/(125*a^(5/2)) - (8*(d*x)^(5/2)*Log[1 - a*x])/(125*d) - (4*(d*x)^(5/2)*PolyLog[2, a*x])/(25*d) + (2*(d*x)^(5/2)*PolyLog[3, a*x])/(5*d)","A",8,5,13,0.3846,1,"{6591, 2395, 50, 63, 206}"
67,1,121,0,0.066747,"\int \sqrt{d x} \text{PolyLog}(3,a x) \, dx","Int[Sqrt[d*x]*PolyLog[3, a*x],x]","-\frac{4 (d x)^{3/2} \text{PolyLog}(2,a x)}{9 d}+\frac{2 (d x)^{3/2} \text{PolyLog}(3,a x)}{3 d}-\frac{16 \sqrt{d} \tanh ^{-1}\left(\frac{\sqrt{a} \sqrt{d x}}{\sqrt{d}}\right)}{27 a^{3/2}}+\frac{16 \sqrt{d x}}{27 a}-\frac{8 (d x)^{3/2} \log (1-a x)}{27 d}+\frac{16 (d x)^{3/2}}{81 d}","-\frac{4 (d x)^{3/2} \text{PolyLog}(2,a x)}{9 d}+\frac{2 (d x)^{3/2} \text{PolyLog}(3,a x)}{3 d}-\frac{16 \sqrt{d} \tanh ^{-1}\left(\frac{\sqrt{a} \sqrt{d x}}{\sqrt{d}}\right)}{27 a^{3/2}}+\frac{16 \sqrt{d x}}{27 a}-\frac{8 (d x)^{3/2} \log (1-a x)}{27 d}+\frac{16 (d x)^{3/2}}{81 d}",1,"(16*Sqrt[d*x])/(27*a) + (16*(d*x)^(3/2))/(81*d) - (16*Sqrt[d]*ArcTanh[(Sqrt[a]*Sqrt[d*x])/Sqrt[d]])/(27*a^(3/2)) - (8*(d*x)^(3/2)*Log[1 - a*x])/(27*d) - (4*(d*x)^(3/2)*PolyLog[2, a*x])/(9*d) + (2*(d*x)^(3/2)*PolyLog[3, a*x])/(3*d)","A",7,5,13,0.3846,1,"{6591, 2395, 50, 63, 206}"
68,1,97,0,0.0621491,"\int \frac{\text{PolyLog}(3,a x)}{\sqrt{d x}} \, dx","Int[PolyLog[3, a*x]/Sqrt[d*x],x]","-\frac{4 \sqrt{d x} \text{PolyLog}(2,a x)}{d}+\frac{2 \sqrt{d x} \text{PolyLog}(3,a x)}{d}-\frac{8 \sqrt{d x} \log (1-a x)}{d}-\frac{16 \tanh ^{-1}\left(\frac{\sqrt{a} \sqrt{d x}}{\sqrt{d}}\right)}{\sqrt{a} \sqrt{d}}+\frac{16 \sqrt{d x}}{d}","-\frac{4 \sqrt{d x} \text{PolyLog}(2,a x)}{d}+\frac{2 \sqrt{d x} \text{PolyLog}(3,a x)}{d}-\frac{8 \sqrt{d x} \log (1-a x)}{d}-\frac{16 \tanh ^{-1}\left(\frac{\sqrt{a} \sqrt{d x}}{\sqrt{d}}\right)}{\sqrt{a} \sqrt{d}}+\frac{16 \sqrt{d x}}{d}",1,"(16*Sqrt[d*x])/d - (16*ArcTanh[(Sqrt[a]*Sqrt[d*x])/Sqrt[d]])/(Sqrt[a]*Sqrt[d]) - (8*Sqrt[d*x]*Log[1 - a*x])/d - (4*Sqrt[d*x]*PolyLog[2, a*x])/d + (2*Sqrt[d*x]*PolyLog[3, a*x])/d","A",6,5,13,0.3846,1,"{6591, 2395, 50, 63, 206}"
69,1,85,0,0.0588706,"\int \frac{\text{PolyLog}(3,a x)}{(d x)^{3/2}} \, dx","Int[PolyLog[3, a*x]/(d*x)^(3/2),x]","-\frac{4 \text{PolyLog}(2,a x)}{d \sqrt{d x}}-\frac{2 \text{PolyLog}(3,a x)}{d \sqrt{d x}}+\frac{16 \sqrt{a} \tanh ^{-1}\left(\frac{\sqrt{a} \sqrt{d x}}{\sqrt{d}}\right)}{d^{3/2}}+\frac{8 \log (1-a x)}{d \sqrt{d x}}","-\frac{4 \text{PolyLog}(2,a x)}{d \sqrt{d x}}-\frac{2 \text{PolyLog}(3,a x)}{d \sqrt{d x}}+\frac{16 \sqrt{a} \tanh ^{-1}\left(\frac{\sqrt{a} \sqrt{d x}}{\sqrt{d}}\right)}{d^{3/2}}+\frac{8 \log (1-a x)}{d \sqrt{d x}}",1,"(16*Sqrt[a]*ArcTanh[(Sqrt[a]*Sqrt[d*x])/Sqrt[d]])/d^(3/2) + (8*Log[1 - a*x])/(d*Sqrt[d*x]) - (4*PolyLog[2, a*x])/(d*Sqrt[d*x]) - (2*PolyLog[3, a*x])/(d*Sqrt[d*x])","A",5,4,13,0.3077,1,"{6591, 2395, 63, 206}"
70,1,108,0,0.0655397,"\int \frac{\text{PolyLog}(3,a x)}{(d x)^{5/2}} \, dx","Int[PolyLog[3, a*x]/(d*x)^(5/2),x]","-\frac{4 \text{PolyLog}(2,a x)}{9 d (d x)^{3/2}}-\frac{2 \text{PolyLog}(3,a x)}{3 d (d x)^{3/2}}+\frac{16 a^{3/2} \tanh ^{-1}\left(\frac{\sqrt{a} \sqrt{d x}}{\sqrt{d}}\right)}{27 d^{5/2}}-\frac{16 a}{27 d^2 \sqrt{d x}}+\frac{8 \log (1-a x)}{27 d (d x)^{3/2}}","-\frac{4 \text{PolyLog}(2,a x)}{9 d (d x)^{3/2}}-\frac{2 \text{PolyLog}(3,a x)}{3 d (d x)^{3/2}}+\frac{16 a^{3/2} \tanh ^{-1}\left(\frac{\sqrt{a} \sqrt{d x}}{\sqrt{d}}\right)}{27 d^{5/2}}-\frac{16 a}{27 d^2 \sqrt{d x}}+\frac{8 \log (1-a x)}{27 d (d x)^{3/2}}",1,"(-16*a)/(27*d^2*Sqrt[d*x]) + (16*a^(3/2)*ArcTanh[(Sqrt[a]*Sqrt[d*x])/Sqrt[d]])/(27*d^(5/2)) + (8*Log[1 - a*x])/(27*d*(d*x)^(3/2)) - (4*PolyLog[2, a*x])/(9*d*(d*x)^(3/2)) - (2*PolyLog[3, a*x])/(3*d*(d*x)^(3/2))","A",6,5,13,0.3846,1,"{6591, 2395, 51, 63, 206}"
71,1,125,0,0.0763217,"\int \frac{\text{PolyLog}(3,a x)}{(d x)^{7/2}} \, dx","Int[PolyLog[3, a*x]/(d*x)^(7/2),x]","-\frac{4 \text{PolyLog}(2,a x)}{25 d (d x)^{5/2}}-\frac{2 \text{PolyLog}(3,a x)}{5 d (d x)^{5/2}}-\frac{16 a^2}{125 d^3 \sqrt{d x}}+\frac{16 a^{5/2} \tanh ^{-1}\left(\frac{\sqrt{a} \sqrt{d x}}{\sqrt{d}}\right)}{125 d^{7/2}}-\frac{16 a}{375 d^2 (d x)^{3/2}}+\frac{8 \log (1-a x)}{125 d (d x)^{5/2}}","-\frac{4 \text{PolyLog}(2,a x)}{25 d (d x)^{5/2}}-\frac{2 \text{PolyLog}(3,a x)}{5 d (d x)^{5/2}}-\frac{16 a^2}{125 d^3 \sqrt{d x}}+\frac{16 a^{5/2} \tanh ^{-1}\left(\frac{\sqrt{a} \sqrt{d x}}{\sqrt{d}}\right)}{125 d^{7/2}}-\frac{16 a}{375 d^2 (d x)^{3/2}}+\frac{8 \log (1-a x)}{125 d (d x)^{5/2}}",1,"(-16*a)/(375*d^2*(d*x)^(3/2)) - (16*a^2)/(125*d^3*Sqrt[d*x]) + (16*a^(5/2)*ArcTanh[(Sqrt[a]*Sqrt[d*x])/Sqrt[d]])/(125*d^(7/2)) + (8*Log[1 - a*x])/(125*d*(d*x)^(5/2)) - (4*PolyLog[2, a*x])/(25*d*(d*x)^(5/2)) - (2*PolyLog[3, a*x])/(5*d*(d*x)^(5/2))","A",7,5,13,0.3846,1,"{6591, 2395, 51, 63, 206}"
72,1,140,0,0.1067098,"\int (d x)^{3/2} \text{PolyLog}\left(2,a x^2\right) \, dx","Int[(d*x)^(3/2)*PolyLog[2, a*x^2],x]","\frac{2 (d x)^{5/2} \text{PolyLog}\left(2,a x^2\right)}{5 d}+\frac{16 d^{3/2} \tan ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{25 a^{5/4}}+\frac{16 d^{3/2} \tanh ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{25 a^{5/4}}+\frac{8 (d x)^{5/2} \log \left(1-a x^2\right)}{25 d}-\frac{32 d \sqrt{d x}}{25 a}-\frac{32 (d x)^{5/2}}{125 d}","\frac{2 (d x)^{5/2} \text{PolyLog}\left(2,a x^2\right)}{5 d}+\frac{16 d^{3/2} \tan ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{25 a^{5/4}}+\frac{16 d^{3/2} \tanh ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{25 a^{5/4}}+\frac{8 (d x)^{5/2} \log \left(1-a x^2\right)}{25 d}-\frac{32 d \sqrt{d x}}{25 a}-\frac{32 (d x)^{5/2}}{125 d}",1,"(-32*d*Sqrt[d*x])/(25*a) - (32*(d*x)^(5/2))/(125*d) + (16*d^(3/2)*ArcTan[(a^(1/4)*Sqrt[d*x])/Sqrt[d]])/(25*a^(5/4)) + (16*d^(3/2)*ArcTanh[(a^(1/4)*Sqrt[d*x])/Sqrt[d]])/(25*a^(5/4)) + (8*(d*x)^(5/2)*Log[1 - a*x^2])/(25*d) + (2*(d*x)^(5/2)*PolyLog[2, a*x^2])/(5*d)","A",9,8,15,0.5333,1,"{6591, 2455, 16, 321, 329, 212, 208, 205}"
73,1,125,0,0.086485,"\int \sqrt{d x} \text{PolyLog}\left(2,a x^2\right) \, dx","Int[Sqrt[d*x]*PolyLog[2, a*x^2],x]","\frac{2 (d x)^{3/2} \text{PolyLog}\left(2,a x^2\right)}{3 d}-\frac{16 \sqrt{d} \tan ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{9 a^{3/4}}+\frac{16 \sqrt{d} \tanh ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{9 a^{3/4}}+\frac{8 (d x)^{3/2} \log \left(1-a x^2\right)}{9 d}-\frac{32 (d x)^{3/2}}{27 d}","\frac{2 (d x)^{3/2} \text{PolyLog}\left(2,a x^2\right)}{3 d}-\frac{16 \sqrt{d} \tan ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{9 a^{3/4}}+\frac{16 \sqrt{d} \tanh ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{9 a^{3/4}}+\frac{8 (d x)^{3/2} \log \left(1-a x^2\right)}{9 d}-\frac{32 (d x)^{3/2}}{27 d}",1,"(-32*(d*x)^(3/2))/(27*d) - (16*Sqrt[d]*ArcTan[(a^(1/4)*Sqrt[d*x])/Sqrt[d]])/(9*a^(3/4)) + (16*Sqrt[d]*ArcTanh[(a^(1/4)*Sqrt[d*x])/Sqrt[d]])/(9*a^(3/4)) + (8*(d*x)^(3/2)*Log[1 - a*x^2])/(9*d) + (2*(d*x)^(3/2)*PolyLog[2, a*x^2])/(3*d)","A",8,8,15,0.5333,1,"{6591, 2455, 16, 321, 329, 298, 205, 208}"
74,1,115,0,0.0803542,"\int \frac{\text{PolyLog}\left(2,a x^2\right)}{\sqrt{d x}} \, dx","Int[PolyLog[2, a*x^2]/Sqrt[d*x],x]","\frac{2 \sqrt{d x} \text{PolyLog}\left(2,a x^2\right)}{d}+\frac{8 \sqrt{d x} \log \left(1-a x^2\right)}{d}+\frac{16 \tan ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{\sqrt[4]{a} \sqrt{d}}+\frac{16 \tanh ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{\sqrt[4]{a} \sqrt{d}}-\frac{32 \sqrt{d x}}{d}","\frac{2 \sqrt{d x} \text{PolyLog}\left(2,a x^2\right)}{d}+\frac{8 \sqrt{d x} \log \left(1-a x^2\right)}{d}+\frac{16 \tan ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{\sqrt[4]{a} \sqrt{d}}+\frac{16 \tanh ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{\sqrt[4]{a} \sqrt{d}}-\frac{32 \sqrt{d x}}{d}",1,"(-32*Sqrt[d*x])/d + (16*ArcTan[(a^(1/4)*Sqrt[d*x])/Sqrt[d]])/(a^(1/4)*Sqrt[d]) + (16*ArcTanh[(a^(1/4)*Sqrt[d*x])/Sqrt[d]])/(a^(1/4)*Sqrt[d]) + (8*Sqrt[d*x]*Log[1 - a*x^2])/d + (2*Sqrt[d*x]*PolyLog[2, a*x^2])/d","A",8,8,15,0.5333,1,"{6591, 2455, 16, 321, 329, 212, 208, 205}"
75,1,103,0,0.0738395,"\int \frac{\text{PolyLog}\left(2,a x^2\right)}{(d x)^{3/2}} \, dx","Int[PolyLog[2, a*x^2]/(d*x)^(3/2),x]","-\frac{2 \text{PolyLog}\left(2,a x^2\right)}{d \sqrt{d x}}-\frac{16 \sqrt[4]{a} \tan ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{d^{3/2}}+\frac{16 \sqrt[4]{a} \tanh ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{d^{3/2}}+\frac{8 \log \left(1-a x^2\right)}{d \sqrt{d x}}","-\frac{2 \text{PolyLog}\left(2,a x^2\right)}{d \sqrt{d x}}-\frac{16 \sqrt[4]{a} \tan ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{d^{3/2}}+\frac{16 \sqrt[4]{a} \tanh ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{d^{3/2}}+\frac{8 \log \left(1-a x^2\right)}{d \sqrt{d x}}",1,"(-16*a^(1/4)*ArcTan[(a^(1/4)*Sqrt[d*x])/Sqrt[d]])/d^(3/2) + (16*a^(1/4)*ArcTanh[(a^(1/4)*Sqrt[d*x])/Sqrt[d]])/d^(3/2) + (8*Log[1 - a*x^2])/(d*Sqrt[d*x]) - (2*PolyLog[2, a*x^2])/(d*Sqrt[d*x])","A",7,7,15,0.4667,1,"{6591, 2455, 16, 329, 298, 205, 208}"
76,1,111,0,0.0720639,"\int \frac{\text{PolyLog}\left(2,a x^2\right)}{(d x)^{5/2}} \, dx","Int[PolyLog[2, a*x^2]/(d*x)^(5/2),x]","-\frac{2 \text{PolyLog}\left(2,a x^2\right)}{3 d (d x)^{3/2}}+\frac{16 a^{3/4} \tan ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{9 d^{5/2}}+\frac{16 a^{3/4} \tanh ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{9 d^{5/2}}+\frac{8 \log \left(1-a x^2\right)}{9 d (d x)^{3/2}}","-\frac{2 \text{PolyLog}\left(2,a x^2\right)}{3 d (d x)^{3/2}}+\frac{16 a^{3/4} \tan ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{9 d^{5/2}}+\frac{16 a^{3/4} \tanh ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{9 d^{5/2}}+\frac{8 \log \left(1-a x^2\right)}{9 d (d x)^{3/2}}",1,"(16*a^(3/4)*ArcTan[(a^(1/4)*Sqrt[d*x])/Sqrt[d]])/(9*d^(5/2)) + (16*a^(3/4)*ArcTanh[(a^(1/4)*Sqrt[d*x])/Sqrt[d]])/(9*d^(5/2)) + (8*Log[1 - a*x^2])/(9*d*(d*x)^(3/2)) - (2*PolyLog[2, a*x^2])/(3*d*(d*x)^(3/2))","A",7,7,15,0.4667,1,"{6591, 2455, 16, 329, 212, 208, 205}"
77,1,126,0,0.0858323,"\int \frac{\text{PolyLog}\left(2,a x^2\right)}{(d x)^{7/2}} \, dx","Int[PolyLog[2, a*x^2]/(d*x)^(7/2),x]","-\frac{2 \text{PolyLog}\left(2,a x^2\right)}{5 d (d x)^{5/2}}-\frac{16 a^{5/4} \tan ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{25 d^{7/2}}+\frac{16 a^{5/4} \tanh ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{25 d^{7/2}}-\frac{32 a}{25 d^3 \sqrt{d x}}+\frac{8 \log \left(1-a x^2\right)}{25 d (d x)^{5/2}}","-\frac{2 \text{PolyLog}\left(2,a x^2\right)}{5 d (d x)^{5/2}}-\frac{16 a^{5/4} \tan ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{25 d^{7/2}}+\frac{16 a^{5/4} \tanh ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{25 d^{7/2}}-\frac{32 a}{25 d^3 \sqrt{d x}}+\frac{8 \log \left(1-a x^2\right)}{25 d (d x)^{5/2}}",1,"(-32*a)/(25*d^3*Sqrt[d*x]) - (16*a^(5/4)*ArcTan[(a^(1/4)*Sqrt[d*x])/Sqrt[d]])/(25*d^(7/2)) + (16*a^(5/4)*ArcTanh[(a^(1/4)*Sqrt[d*x])/Sqrt[d]])/(25*d^(7/2)) + (8*Log[1 - a*x^2])/(25*d*(d*x)^(5/2)) - (2*PolyLog[2, a*x^2])/(5*d*(d*x)^(5/2))","A",8,8,15,0.5333,1,"{6591, 2455, 16, 325, 329, 298, 205, 208}"
78,1,161,0,0.1267494,"\int (d x)^{5/2} \text{PolyLog}\left(3,a x^2\right) \, dx","Int[(d*x)^(5/2)*PolyLog[3, a*x^2],x]","-\frac{8 (d x)^{7/2} \text{PolyLog}\left(2,a x^2\right)}{49 d}+\frac{2 (d x)^{7/2} \text{PolyLog}\left(3,a x^2\right)}{7 d}+\frac{64 d^{5/2} \tan ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{343 a^{7/4}}-\frac{64 d^{5/2} \tanh ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{343 a^{7/4}}-\frac{32 (d x)^{7/2} \log \left(1-a x^2\right)}{343 d}+\frac{128 d (d x)^{3/2}}{1029 a}+\frac{128 (d x)^{7/2}}{2401 d}","-\frac{8 (d x)^{7/2} \text{PolyLog}\left(2,a x^2\right)}{49 d}+\frac{2 (d x)^{7/2} \text{PolyLog}\left(3,a x^2\right)}{7 d}+\frac{64 d^{5/2} \tan ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{343 a^{7/4}}-\frac{64 d^{5/2} \tanh ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{343 a^{7/4}}-\frac{32 (d x)^{7/2} \log \left(1-a x^2\right)}{343 d}+\frac{128 d (d x)^{3/2}}{1029 a}+\frac{128 (d x)^{7/2}}{2401 d}",1,"(128*d*(d*x)^(3/2))/(1029*a) + (128*(d*x)^(7/2))/(2401*d) + (64*d^(5/2)*ArcTan[(a^(1/4)*Sqrt[d*x])/Sqrt[d]])/(343*a^(7/4)) - (64*d^(5/2)*ArcTanh[(a^(1/4)*Sqrt[d*x])/Sqrt[d]])/(343*a^(7/4)) - (32*(d*x)^(7/2)*Log[1 - a*x^2])/(343*d) - (8*(d*x)^(7/2)*PolyLog[2, a*x^2])/(49*d) + (2*(d*x)^(7/2)*PolyLog[3, a*x^2])/(7*d)","A",10,8,15,0.5333,1,"{6591, 2455, 16, 321, 329, 298, 205, 208}"
79,1,161,0,0.1158675,"\int (d x)^{3/2} \text{PolyLog}\left(3,a x^2\right) \, dx","Int[(d*x)^(3/2)*PolyLog[3, a*x^2],x]","-\frac{8 (d x)^{5/2} \text{PolyLog}\left(2,a x^2\right)}{25 d}+\frac{2 (d x)^{5/2} \text{PolyLog}\left(3,a x^2\right)}{5 d}-\frac{64 d^{3/2} \tan ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{125 a^{5/4}}-\frac{64 d^{3/2} \tanh ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{125 a^{5/4}}-\frac{32 (d x)^{5/2} \log \left(1-a x^2\right)}{125 d}+\frac{128 d \sqrt{d x}}{125 a}+\frac{128 (d x)^{5/2}}{625 d}","-\frac{8 (d x)^{5/2} \text{PolyLog}\left(2,a x^2\right)}{25 d}+\frac{2 (d x)^{5/2} \text{PolyLog}\left(3,a x^2\right)}{5 d}-\frac{64 d^{3/2} \tan ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{125 a^{5/4}}-\frac{64 d^{3/2} \tanh ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{125 a^{5/4}}-\frac{32 (d x)^{5/2} \log \left(1-a x^2\right)}{125 d}+\frac{128 d \sqrt{d x}}{125 a}+\frac{128 (d x)^{5/2}}{625 d}",1,"(128*d*Sqrt[d*x])/(125*a) + (128*(d*x)^(5/2))/(625*d) - (64*d^(3/2)*ArcTan[(a^(1/4)*Sqrt[d*x])/Sqrt[d]])/(125*a^(5/4)) - (64*d^(3/2)*ArcTanh[(a^(1/4)*Sqrt[d*x])/Sqrt[d]])/(125*a^(5/4)) - (32*(d*x)^(5/2)*Log[1 - a*x^2])/(125*d) - (8*(d*x)^(5/2)*PolyLog[2, a*x^2])/(25*d) + (2*(d*x)^(5/2)*PolyLog[3, a*x^2])/(5*d)","A",10,8,15,0.5333,1,"{6591, 2455, 16, 321, 329, 212, 208, 205}"
80,1,146,0,0.0974576,"\int \sqrt{d x} \text{PolyLog}\left(3,a x^2\right) \, dx","Int[Sqrt[d*x]*PolyLog[3, a*x^2],x]","-\frac{8 (d x)^{3/2} \text{PolyLog}\left(2,a x^2\right)}{9 d}+\frac{2 (d x)^{3/2} \text{PolyLog}\left(3,a x^2\right)}{3 d}+\frac{64 \sqrt{d} \tan ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{27 a^{3/4}}-\frac{64 \sqrt{d} \tanh ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{27 a^{3/4}}-\frac{32 (d x)^{3/2} \log \left(1-a x^2\right)}{27 d}+\frac{128 (d x)^{3/2}}{81 d}","-\frac{8 (d x)^{3/2} \text{PolyLog}\left(2,a x^2\right)}{9 d}+\frac{2 (d x)^{3/2} \text{PolyLog}\left(3,a x^2\right)}{3 d}+\frac{64 \sqrt{d} \tan ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{27 a^{3/4}}-\frac{64 \sqrt{d} \tanh ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{27 a^{3/4}}-\frac{32 (d x)^{3/2} \log \left(1-a x^2\right)}{27 d}+\frac{128 (d x)^{3/2}}{81 d}",1,"(128*(d*x)^(3/2))/(81*d) + (64*Sqrt[d]*ArcTan[(a^(1/4)*Sqrt[d*x])/Sqrt[d]])/(27*a^(3/4)) - (64*Sqrt[d]*ArcTanh[(a^(1/4)*Sqrt[d*x])/Sqrt[d]])/(27*a^(3/4)) - (32*(d*x)^(3/2)*Log[1 - a*x^2])/(27*d) - (8*(d*x)^(3/2)*PolyLog[2, a*x^2])/(9*d) + (2*(d*x)^(3/2)*PolyLog[3, a*x^2])/(3*d)","A",9,8,15,0.5333,1,"{6591, 2455, 16, 321, 329, 298, 205, 208}"
81,1,134,0,0.101164,"\int \frac{\text{PolyLog}\left(3,a x^2\right)}{\sqrt{d x}} \, dx","Int[PolyLog[3, a*x^2]/Sqrt[d*x],x]","-\frac{8 \sqrt{d x} \text{PolyLog}\left(2,a x^2\right)}{d}+\frac{2 \sqrt{d x} \text{PolyLog}\left(3,a x^2\right)}{d}-\frac{32 \sqrt{d x} \log \left(1-a x^2\right)}{d}-\frac{64 \tan ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{\sqrt[4]{a} \sqrt{d}}-\frac{64 \tanh ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{\sqrt[4]{a} \sqrt{d}}+\frac{128 \sqrt{d x}}{d}","-\frac{8 \sqrt{d x} \text{PolyLog}\left(2,a x^2\right)}{d}+\frac{2 \sqrt{d x} \text{PolyLog}\left(3,a x^2\right)}{d}-\frac{32 \sqrt{d x} \log \left(1-a x^2\right)}{d}-\frac{64 \tan ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{\sqrt[4]{a} \sqrt{d}}-\frac{64 \tanh ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{\sqrt[4]{a} \sqrt{d}}+\frac{128 \sqrt{d x}}{d}",1,"(128*Sqrt[d*x])/d - (64*ArcTan[(a^(1/4)*Sqrt[d*x])/Sqrt[d]])/(a^(1/4)*Sqrt[d]) - (64*ArcTanh[(a^(1/4)*Sqrt[d*x])/Sqrt[d]])/(a^(1/4)*Sqrt[d]) - (32*Sqrt[d*x]*Log[1 - a*x^2])/d - (8*Sqrt[d*x]*PolyLog[2, a*x^2])/d + (2*Sqrt[d*x]*PolyLog[3, a*x^2])/d","A",9,8,15,0.5333,1,"{6591, 2455, 16, 321, 329, 212, 208, 205}"
82,1,122,0,0.0932373,"\int \frac{\text{PolyLog}\left(3,a x^2\right)}{(d x)^{3/2}} \, dx","Int[PolyLog[3, a*x^2]/(d*x)^(3/2),x]","-\frac{8 \text{PolyLog}\left(2,a x^2\right)}{d \sqrt{d x}}-\frac{2 \text{PolyLog}\left(3,a x^2\right)}{d \sqrt{d x}}-\frac{64 \sqrt[4]{a} \tan ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{d^{3/2}}+\frac{64 \sqrt[4]{a} \tanh ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{d^{3/2}}+\frac{32 \log \left(1-a x^2\right)}{d \sqrt{d x}}","-\frac{8 \text{PolyLog}\left(2,a x^2\right)}{d \sqrt{d x}}-\frac{2 \text{PolyLog}\left(3,a x^2\right)}{d \sqrt{d x}}-\frac{64 \sqrt[4]{a} \tan ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{d^{3/2}}+\frac{64 \sqrt[4]{a} \tanh ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{d^{3/2}}+\frac{32 \log \left(1-a x^2\right)}{d \sqrt{d x}}",1,"(-64*a^(1/4)*ArcTan[(a^(1/4)*Sqrt[d*x])/Sqrt[d]])/d^(3/2) + (64*a^(1/4)*ArcTanh[(a^(1/4)*Sqrt[d*x])/Sqrt[d]])/d^(3/2) + (32*Log[1 - a*x^2])/(d*Sqrt[d*x]) - (8*PolyLog[2, a*x^2])/(d*Sqrt[d*x]) - (2*PolyLog[3, a*x^2])/(d*Sqrt[d*x])","A",8,7,15,0.4667,1,"{6591, 2455, 16, 329, 298, 205, 208}"
83,1,132,0,0.0910165,"\int \frac{\text{PolyLog}\left(3,a x^2\right)}{(d x)^{5/2}} \, dx","Int[PolyLog[3, a*x^2]/(d*x)^(5/2),x]","-\frac{8 \text{PolyLog}\left(2,a x^2\right)}{9 d (d x)^{3/2}}-\frac{2 \text{PolyLog}\left(3,a x^2\right)}{3 d (d x)^{3/2}}+\frac{64 a^{3/4} \tan ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{27 d^{5/2}}+\frac{64 a^{3/4} \tanh ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{27 d^{5/2}}+\frac{32 \log \left(1-a x^2\right)}{27 d (d x)^{3/2}}","-\frac{8 \text{PolyLog}\left(2,a x^2\right)}{9 d (d x)^{3/2}}-\frac{2 \text{PolyLog}\left(3,a x^2\right)}{3 d (d x)^{3/2}}+\frac{64 a^{3/4} \tan ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{27 d^{5/2}}+\frac{64 a^{3/4} \tanh ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{27 d^{5/2}}+\frac{32 \log \left(1-a x^2\right)}{27 d (d x)^{3/2}}",1,"(64*a^(3/4)*ArcTan[(a^(1/4)*Sqrt[d*x])/Sqrt[d]])/(27*d^(5/2)) + (64*a^(3/4)*ArcTanh[(a^(1/4)*Sqrt[d*x])/Sqrt[d]])/(27*d^(5/2)) + (32*Log[1 - a*x^2])/(27*d*(d*x)^(3/2)) - (8*PolyLog[2, a*x^2])/(9*d*(d*x)^(3/2)) - (2*PolyLog[3, a*x^2])/(3*d*(d*x)^(3/2))","A",8,7,15,0.4667,1,"{6591, 2455, 16, 329, 212, 208, 205}"
84,1,147,0,0.1068587,"\int \frac{\text{PolyLog}\left(3,a x^2\right)}{(d x)^{7/2}} \, dx","Int[PolyLog[3, a*x^2]/(d*x)^(7/2),x]","-\frac{8 \text{PolyLog}\left(2,a x^2\right)}{25 d (d x)^{5/2}}-\frac{2 \text{PolyLog}\left(3,a x^2\right)}{5 d (d x)^{5/2}}-\frac{64 a^{5/4} \tan ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{125 d^{7/2}}+\frac{64 a^{5/4} \tanh ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{125 d^{7/2}}-\frac{128 a}{125 d^3 \sqrt{d x}}+\frac{32 \log \left(1-a x^2\right)}{125 d (d x)^{5/2}}","-\frac{8 \text{PolyLog}\left(2,a x^2\right)}{25 d (d x)^{5/2}}-\frac{2 \text{PolyLog}\left(3,a x^2\right)}{5 d (d x)^{5/2}}-\frac{64 a^{5/4} \tan ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{125 d^{7/2}}+\frac{64 a^{5/4} \tanh ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{125 d^{7/2}}-\frac{128 a}{125 d^3 \sqrt{d x}}+\frac{32 \log \left(1-a x^2\right)}{125 d (d x)^{5/2}}",1,"(-128*a)/(125*d^3*Sqrt[d*x]) - (64*a^(5/4)*ArcTan[(a^(1/4)*Sqrt[d*x])/Sqrt[d]])/(125*d^(7/2)) + (64*a^(5/4)*ArcTanh[(a^(1/4)*Sqrt[d*x])/Sqrt[d]])/(125*d^(7/2)) + (32*Log[1 - a*x^2])/(125*d*(d*x)^(5/2)) - (8*PolyLog[2, a*x^2])/(25*d*(d*x)^(5/2)) - (2*PolyLog[3, a*x^2])/(5*d*(d*x)^(5/2))","A",9,8,15,0.5333,1,"{6591, 2455, 16, 325, 329, 298, 205, 208}"
85,1,147,0,0.1056837,"\int \frac{\text{PolyLog}\left(3,a x^2\right)}{(d x)^{9/2}} \, dx","Int[PolyLog[3, a*x^2]/(d*x)^(9/2),x]","-\frac{8 \text{PolyLog}\left(2,a x^2\right)}{49 d (d x)^{7/2}}-\frac{2 \text{PolyLog}\left(3,a x^2\right)}{7 d (d x)^{7/2}}+\frac{64 a^{7/4} \tan ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{343 d^{9/2}}+\frac{64 a^{7/4} \tanh ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{343 d^{9/2}}-\frac{128 a}{1029 d^3 (d x)^{3/2}}+\frac{32 \log \left(1-a x^2\right)}{343 d (d x)^{7/2}}","-\frac{8 \text{PolyLog}\left(2,a x^2\right)}{49 d (d x)^{7/2}}-\frac{2 \text{PolyLog}\left(3,a x^2\right)}{7 d (d x)^{7/2}}+\frac{64 a^{7/4} \tan ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{343 d^{9/2}}+\frac{64 a^{7/4} \tanh ^{-1}\left(\frac{\sqrt[4]{a} \sqrt{d x}}{\sqrt{d}}\right)}{343 d^{9/2}}-\frac{128 a}{1029 d^3 (d x)^{3/2}}+\frac{32 \log \left(1-a x^2\right)}{343 d (d x)^{7/2}}",1,"(-128*a)/(1029*d^3*(d*x)^(3/2)) + (64*a^(7/4)*ArcTan[(a^(1/4)*Sqrt[d*x])/Sqrt[d]])/(343*d^(9/2)) + (64*a^(7/4)*ArcTanh[(a^(1/4)*Sqrt[d*x])/Sqrt[d]])/(343*d^(9/2)) + (32*Log[1 - a*x^2])/(343*d*(d*x)^(7/2)) - (8*PolyLog[2, a*x^2])/(49*d*(d*x)^(7/2)) - (2*PolyLog[3, a*x^2])/(7*d*(d*x)^(7/2))","A",9,8,15,0.5333,1,"{6591, 2455, 16, 325, 329, 212, 208, 205}"
86,1,101,0,0.0585402,"\int (d x)^{3/2} \text{PolyLog}\left(2,a x^q\right) \, dx","Int[(d*x)^(3/2)*PolyLog[2, a*x^q],x]","\frac{2 (d x)^{5/2} \text{PolyLog}\left(2,a x^q\right)}{5 d}+\frac{8 a d q^2 \sqrt{d x} x^{q+2} \, _2F_1\left(1,\frac{q+\frac{5}{2}}{q};\frac{1}{2} \left(4+\frac{5}{q}\right);a x^q\right)}{25 (2 q+5)}+\frac{4 q (d x)^{5/2} \log \left(1-a x^q\right)}{25 d}","\frac{2 (d x)^{5/2} \text{PolyLog}\left(2,a x^q\right)}{5 d}+\frac{8 a d q^2 \sqrt{d x} x^{q+2} \, _2F_1\left(1,\frac{q+\frac{5}{2}}{q};\frac{1}{2} \left(4+\frac{5}{q}\right);a x^q\right)}{25 (2 q+5)}+\frac{4 q (d x)^{5/2} \log \left(1-a x^q\right)}{25 d}",1,"(8*a*d*q^2*x^(2 + q)*Sqrt[d*x]*Hypergeometric2F1[1, (5/2 + q)/q, (4 + 5/q)/2, a*x^q])/(25*(5 + 2*q)) + (4*q*(d*x)^(5/2)*Log[1 - a*x^q])/(25*d) + (2*(d*x)^(5/2)*PolyLog[2, a*x^q])/(5*d)","A",4,4,15,0.2667,1,"{6591, 2455, 20, 364}"
87,1,100,0,0.0546737,"\int \sqrt{d x} \text{PolyLog}\left(2,a x^q\right) \, dx","Int[Sqrt[d*x]*PolyLog[2, a*x^q],x]","\frac{2 (d x)^{3/2} \text{PolyLog}\left(2,a x^q\right)}{3 d}+\frac{8 a q^2 \sqrt{d x} x^{q+1} \, _2F_1\left(1,\frac{q+\frac{3}{2}}{q};\frac{1}{2} \left(4+\frac{3}{q}\right);a x^q\right)}{9 (2 q+3)}+\frac{4 q (d x)^{3/2} \log \left(1-a x^q\right)}{9 d}","\frac{2 (d x)^{3/2} \text{PolyLog}\left(2,a x^q\right)}{3 d}+\frac{8 a q^2 \sqrt{d x} x^{q+1} \, _2F_1\left(1,\frac{q+\frac{3}{2}}{q};\frac{1}{2} \left(4+\frac{3}{q}\right);a x^q\right)}{9 (2 q+3)}+\frac{4 q (d x)^{3/2} \log \left(1-a x^q\right)}{9 d}",1,"(8*a*q^2*x^(1 + q)*Sqrt[d*x]*Hypergeometric2F1[1, (3/2 + q)/q, (4 + 3/q)/2, a*x^q])/(9*(3 + 2*q)) + (4*q*(d*x)^(3/2)*Log[1 - a*x^q])/(9*d) + (2*(d*x)^(3/2)*PolyLog[2, a*x^q])/(3*d)","A",4,4,15,0.2667,1,"{6591, 2455, 20, 364}"
88,1,93,0,0.0540382,"\int \frac{\text{PolyLog}\left(2,a x^q\right)}{\sqrt{d x}} \, dx","Int[PolyLog[2, a*x^q]/Sqrt[d*x],x]","\frac{2 \sqrt{d x} \text{PolyLog}\left(2,a x^q\right)}{d}+\frac{8 a q^2 \sqrt{d x} x^q \, _2F_1\left(1,\frac{q+\frac{1}{2}}{q};\frac{1}{2} \left(4+\frac{1}{q}\right);a x^q\right)}{d (2 q+1)}+\frac{4 q \sqrt{d x} \log \left(1-a x^q\right)}{d}","\frac{2 \sqrt{d x} \text{PolyLog}\left(2,a x^q\right)}{d}+\frac{8 a q^2 \sqrt{d x} x^q \, _2F_1\left(1,\frac{q+\frac{1}{2}}{q};\frac{1}{2} \left(4+\frac{1}{q}\right);a x^q\right)}{d (2 q+1)}+\frac{4 q \sqrt{d x} \log \left(1-a x^q\right)}{d}",1,"(8*a*q^2*x^q*Sqrt[d*x]*Hypergeometric2F1[1, (1/2 + q)/q, (4 + q^(-1))/2, a*x^q])/(d*(1 + 2*q)) + (4*q*Sqrt[d*x]*Log[1 - a*x^q])/d + (2*Sqrt[d*x]*PolyLog[2, a*x^q])/d","A",4,4,15,0.2667,1,"{6591, 2455, 20, 364}"
89,1,97,0,0.0599145,"\int \frac{\text{PolyLog}\left(2,a x^q\right)}{(d x)^{3/2}} \, dx","Int[PolyLog[2, a*x^q]/(d*x)^(3/2),x]","-\frac{2 \text{PolyLog}\left(2,a x^q\right)}{d \sqrt{d x}}-\frac{8 a q^2 x^q \, _2F_1\left(1,\frac{1}{2} \left(2-\frac{1}{q}\right);\frac{1}{2} \left(4-\frac{1}{q}\right);a x^q\right)}{d (1-2 q) \sqrt{d x}}+\frac{4 q \log \left(1-a x^q\right)}{d \sqrt{d x}}","-\frac{2 \text{PolyLog}\left(2,a x^q\right)}{d \sqrt{d x}}-\frac{8 a q^2 x^q \, _2F_1\left(1,\frac{1}{2} \left(2-\frac{1}{q}\right);\frac{1}{2} \left(4-\frac{1}{q}\right);a x^q\right)}{d (1-2 q) \sqrt{d x}}+\frac{4 q \log \left(1-a x^q\right)}{d \sqrt{d x}}",1,"(-8*a*q^2*x^q*Hypergeometric2F1[1, (2 - q^(-1))/2, (4 - q^(-1))/2, a*x^q])/(d*(1 - 2*q)*Sqrt[d*x]) + (4*q*Log[1 - a*x^q])/(d*Sqrt[d*x]) - (2*PolyLog[2, a*x^q])/(d*Sqrt[d*x])","A",4,4,15,0.2667,1,"{6591, 2455, 20, 364}"
90,1,105,0,0.0605675,"\int \frac{\text{PolyLog}\left(2,a x^q\right)}{(d x)^{5/2}} \, dx","Int[PolyLog[2, a*x^q]/(d*x)^(5/2),x]","-\frac{2 \text{PolyLog}\left(2,a x^q\right)}{3 d (d x)^{3/2}}-\frac{8 a q^2 x^{q-1} \, _2F_1\left(1,\frac{1}{2} \left(2-\frac{3}{q}\right);\frac{1}{2} \left(4-\frac{3}{q}\right);a x^q\right)}{9 d^2 (3-2 q) \sqrt{d x}}+\frac{4 q \log \left(1-a x^q\right)}{9 d (d x)^{3/2}}","-\frac{2 \text{PolyLog}\left(2,a x^q\right)}{3 d (d x)^{3/2}}-\frac{8 a q^2 x^{q-1} \, _2F_1\left(1,\frac{1}{2} \left(2-\frac{3}{q}\right);\frac{1}{2} \left(4-\frac{3}{q}\right);a x^q\right)}{9 d^2 (3-2 q) \sqrt{d x}}+\frac{4 q \log \left(1-a x^q\right)}{9 d (d x)^{3/2}}",1,"(-8*a*q^2*x^(-1 + q)*Hypergeometric2F1[1, (2 - 3/q)/2, (4 - 3/q)/2, a*x^q])/(9*d^2*(3 - 2*q)*Sqrt[d*x]) + (4*q*Log[1 - a*x^q])/(9*d*(d*x)^(3/2)) - (2*PolyLog[2, a*x^q])/(3*d*(d*x)^(3/2))","A",4,4,15,0.2667,1,"{6591, 2455, 20, 364}"
91,1,125,0,0.0748302,"\int (d x)^{3/2} \text{PolyLog}\left(3,a x^q\right) \, dx","Int[(d*x)^(3/2)*PolyLog[3, a*x^q],x]","-\frac{4 q (d x)^{5/2} \text{PolyLog}\left(2,a x^q\right)}{25 d}+\frac{2 (d x)^{5/2} \text{PolyLog}\left(3,a x^q\right)}{5 d}-\frac{16 a d q^3 \sqrt{d x} x^{q+2} \, _2F_1\left(1,\frac{q+\frac{5}{2}}{q};\frac{1}{2} \left(4+\frac{5}{q}\right);a x^q\right)}{125 (2 q+5)}-\frac{8 q^2 (d x)^{5/2} \log \left(1-a x^q\right)}{125 d}","-\frac{4 q (d x)^{5/2} \text{PolyLog}\left(2,a x^q\right)}{25 d}+\frac{2 (d x)^{5/2} \text{PolyLog}\left(3,a x^q\right)}{5 d}-\frac{16 a d q^3 \sqrt{d x} x^{q+2} \, _2F_1\left(1,\frac{q+\frac{5}{2}}{q};\frac{1}{2} \left(4+\frac{5}{q}\right);a x^q\right)}{125 (2 q+5)}-\frac{8 q^2 (d x)^{5/2} \log \left(1-a x^q\right)}{125 d}",1,"(-16*a*d*q^3*x^(2 + q)*Sqrt[d*x]*Hypergeometric2F1[1, (5/2 + q)/q, (4 + 5/q)/2, a*x^q])/(125*(5 + 2*q)) - (8*q^2*(d*x)^(5/2)*Log[1 - a*x^q])/(125*d) - (4*q*(d*x)^(5/2)*PolyLog[2, a*x^q])/(25*d) + (2*(d*x)^(5/2)*PolyLog[3, a*x^q])/(5*d)","A",5,4,15,0.2667,1,"{6591, 2455, 20, 364}"
92,1,124,0,0.0703269,"\int \sqrt{d x} \text{PolyLog}\left(3,a x^q\right) \, dx","Int[Sqrt[d*x]*PolyLog[3, a*x^q],x]","-\frac{4 q (d x)^{3/2} \text{PolyLog}\left(2,a x^q\right)}{9 d}+\frac{2 (d x)^{3/2} \text{PolyLog}\left(3,a x^q\right)}{3 d}-\frac{16 a q^3 \sqrt{d x} x^{q+1} \, _2F_1\left(1,\frac{q+\frac{3}{2}}{q};\frac{1}{2} \left(4+\frac{3}{q}\right);a x^q\right)}{27 (2 q+3)}-\frac{8 q^2 (d x)^{3/2} \log \left(1-a x^q\right)}{27 d}","-\frac{4 q (d x)^{3/2} \text{PolyLog}\left(2,a x^q\right)}{9 d}+\frac{2 (d x)^{3/2} \text{PolyLog}\left(3,a x^q\right)}{3 d}-\frac{16 a q^3 \sqrt{d x} x^{q+1} \, _2F_1\left(1,\frac{q+\frac{3}{2}}{q};\frac{1}{2} \left(4+\frac{3}{q}\right);a x^q\right)}{27 (2 q+3)}-\frac{8 q^2 (d x)^{3/2} \log \left(1-a x^q\right)}{27 d}",1,"(-16*a*q^3*x^(1 + q)*Sqrt[d*x]*Hypergeometric2F1[1, (3/2 + q)/q, (4 + 3/q)/2, a*x^q])/(27*(3 + 2*q)) - (8*q^2*(d*x)^(3/2)*Log[1 - a*x^q])/(27*d) - (4*q*(d*x)^(3/2)*PolyLog[2, a*x^q])/(9*d) + (2*(d*x)^(3/2)*PolyLog[3, a*x^q])/(3*d)","A",5,4,15,0.2667,1,"{6591, 2455, 20, 364}"
93,1,115,0,0.0690147,"\int \frac{\text{PolyLog}\left(3,a x^q\right)}{\sqrt{d x}} \, dx","Int[PolyLog[3, a*x^q]/Sqrt[d*x],x]","-\frac{4 q \sqrt{d x} \text{PolyLog}\left(2,a x^q\right)}{d}+\frac{2 \sqrt{d x} \text{PolyLog}\left(3,a x^q\right)}{d}-\frac{16 a q^3 \sqrt{d x} x^q \, _2F_1\left(1,\frac{q+\frac{1}{2}}{q};\frac{1}{2} \left(4+\frac{1}{q}\right);a x^q\right)}{d (2 q+1)}-\frac{8 q^2 \sqrt{d x} \log \left(1-a x^q\right)}{d}","-\frac{4 q \sqrt{d x} \text{PolyLog}\left(2,a x^q\right)}{d}+\frac{2 \sqrt{d x} \text{PolyLog}\left(3,a x^q\right)}{d}-\frac{16 a q^3 \sqrt{d x} x^q \, _2F_1\left(1,\frac{q+\frac{1}{2}}{q};\frac{1}{2} \left(4+\frac{1}{q}\right);a x^q\right)}{d (2 q+1)}-\frac{8 q^2 \sqrt{d x} \log \left(1-a x^q\right)}{d}",1,"(-16*a*q^3*x^q*Sqrt[d*x]*Hypergeometric2F1[1, (1/2 + q)/q, (4 + q^(-1))/2, a*x^q])/(d*(1 + 2*q)) - (8*q^2*Sqrt[d*x]*Log[1 - a*x^q])/d - (4*q*Sqrt[d*x]*PolyLog[2, a*x^q])/d + (2*Sqrt[d*x]*PolyLog[3, a*x^q])/d","A",5,4,15,0.2667,1,"{6591, 2455, 20, 364}"
94,1,119,0,0.0780859,"\int \frac{\text{PolyLog}\left(3,a x^q\right)}{(d x)^{3/2}} \, dx","Int[PolyLog[3, a*x^q]/(d*x)^(3/2),x]","-\frac{4 q \text{PolyLog}\left(2,a x^q\right)}{d \sqrt{d x}}-\frac{2 \text{PolyLog}\left(3,a x^q\right)}{d \sqrt{d x}}-\frac{16 a q^3 x^q \, _2F_1\left(1,\frac{1}{2} \left(2-\frac{1}{q}\right);\frac{1}{2} \left(4-\frac{1}{q}\right);a x^q\right)}{d (1-2 q) \sqrt{d x}}+\frac{8 q^2 \log \left(1-a x^q\right)}{d \sqrt{d x}}","-\frac{4 q \text{PolyLog}\left(2,a x^q\right)}{d \sqrt{d x}}-\frac{2 \text{PolyLog}\left(3,a x^q\right)}{d \sqrt{d x}}-\frac{16 a q^3 x^q \, _2F_1\left(1,\frac{1}{2} \left(2-\frac{1}{q}\right);\frac{1}{2} \left(4-\frac{1}{q}\right);a x^q\right)}{d (1-2 q) \sqrt{d x}}+\frac{8 q^2 \log \left(1-a x^q\right)}{d \sqrt{d x}}",1,"(-16*a*q^3*x^q*Hypergeometric2F1[1, (2 - q^(-1))/2, (4 - q^(-1))/2, a*x^q])/(d*(1 - 2*q)*Sqrt[d*x]) + (8*q^2*Log[1 - a*x^q])/(d*Sqrt[d*x]) - (4*q*PolyLog[2, a*x^q])/(d*Sqrt[d*x]) - (2*PolyLog[3, a*x^q])/(d*Sqrt[d*x])","A",5,4,15,0.2667,1,"{6591, 2455, 20, 364}"
95,1,129,0,0.0749586,"\int \frac{\text{PolyLog}\left(3,a x^q\right)}{(d x)^{5/2}} \, dx","Int[PolyLog[3, a*x^q]/(d*x)^(5/2),x]","-\frac{4 q \text{PolyLog}\left(2,a x^q\right)}{9 d (d x)^{3/2}}-\frac{2 \text{PolyLog}\left(3,a x^q\right)}{3 d (d x)^{3/2}}-\frac{16 a q^3 x^{q-1} \, _2F_1\left(1,\frac{1}{2} \left(2-\frac{3}{q}\right);\frac{1}{2} \left(4-\frac{3}{q}\right);a x^q\right)}{27 d^2 (3-2 q) \sqrt{d x}}+\frac{8 q^2 \log \left(1-a x^q\right)}{27 d (d x)^{3/2}}","-\frac{4 q \text{PolyLog}\left(2,a x^q\right)}{9 d (d x)^{3/2}}-\frac{2 \text{PolyLog}\left(3,a x^q\right)}{3 d (d x)^{3/2}}-\frac{16 a q^3 x^{q-1} \, _2F_1\left(1,\frac{1}{2} \left(2-\frac{3}{q}\right);\frac{1}{2} \left(4-\frac{3}{q}\right);a x^q\right)}{27 d^2 (3-2 q) \sqrt{d x}}+\frac{8 q^2 \log \left(1-a x^q\right)}{27 d (d x)^{3/2}}",1,"(-16*a*q^3*x^(-1 + q)*Hypergeometric2F1[1, (2 - 3/q)/2, (4 - 3/q)/2, a*x^q])/(27*d^2*(3 - 2*q)*Sqrt[d*x]) + (8*q^2*Log[1 - a*x^q])/(27*d*(d*x)^(3/2)) - (4*q*PolyLog[2, a*x^q])/(9*d*(d*x)^(3/2)) - (2*PolyLog[3, a*x^q])/(3*d*(d*x)^(3/2))","A",5,4,15,0.2667,1,"{6591, 2455, 20, 364}"
96,0,0,0,0.0076448,"\int \text{PolyLog}\left(\frac{3}{2},a x\right) \, dx","Int[PolyLog[3/2, a*x],x]","\int \text{PolyLog}\left(\frac{3}{2},a x\right) \, dx","\text{Int}\left(\text{PolyLog}\left(-\frac{1}{2},a x\right),x\right)-x \text{PolyLog}\left(\frac{1}{2},a x\right)+x \text{PolyLog}\left(\frac{3}{2},a x\right)",0,"-(x*PolyLog[1/2, a*x]) + x*PolyLog[3/2, a*x] + Defer[Int][PolyLog[-1/2, a*x], x]","A",0,0,0,0,-1,"{}"
97,0,0,0,0.0047659,"\int \text{PolyLog}\left(\frac{1}{2},a x\right) \, dx","Int[PolyLog[1/2, a*x],x]","\int \text{PolyLog}\left(\frac{1}{2},a x\right) \, dx","x \text{PolyLog}\left(\frac{1}{2},a x\right)-\text{Int}\left(\text{PolyLog}\left(-\frac{1}{2},a x\right),x\right)",0,"x*PolyLog[1/2, a*x] - Defer[Int][PolyLog[-1/2, a*x], x]","A",0,0,0,0,-1,"{}"
98,0,0,0,0.0023648,"\int \text{PolyLog}\left(-\frac{1}{2},a x\right) \, dx","Int[PolyLog[-1/2, a*x],x]","\int \text{PolyLog}\left(-\frac{1}{2},a x\right) \, dx","\text{Int}\left(\text{PolyLog}\left(-\frac{1}{2},a x\right),x\right)",0,"Defer[Int][PolyLog[-1/2, a*x], x]","A",0,0,0,0,-1,"{}"
99,0,0,0,0.0047009,"\int \text{PolyLog}\left(-\frac{3}{2},a x\right) \, dx","Int[PolyLog[-3/2, a*x],x]","\int \text{PolyLog}\left(-\frac{3}{2},a x\right) \, dx","x \text{PolyLog}\left(-\frac{1}{2},a x\right)-\text{Int}\left(\text{PolyLog}\left(-\frac{1}{2},a x\right),x\right)",0,"x*PolyLog[-1/2, a*x] - Defer[Int][PolyLog[-1/2, a*x], x]","A",0,0,0,0,-1,"{}"
100,0,0,0,0.007823,"\int \text{PolyLog}\left(-\frac{5}{2},a x\right) \, dx","Int[PolyLog[-5/2, a*x],x]","\int \text{PolyLog}\left(-\frac{5}{2},a x\right) \, dx","\text{Int}\left(\text{PolyLog}\left(-\frac{1}{2},a x\right),x\right)+x \text{PolyLog}\left(-\frac{3}{2},a x\right)-x \text{PolyLog}\left(-\frac{1}{2},a x\right)",0,"x*PolyLog[-3/2, a*x] - x*PolyLog[-1/2, a*x] + Defer[Int][PolyLog[-1/2, a*x], x]","A",0,0,0,0,-1,"{}"
101,1,9,0,0.0079878,"\int \left(\text{PolyLog}\left(-\frac{3}{2},a x\right)+\text{PolyLog}\left(-\frac{1}{2},a x\right)\right) \, dx","Int[PolyLog[-3/2, a*x] + PolyLog[-1/2, a*x],x]","x \text{PolyLog}\left(-\frac{1}{2},a x\right)","x \text{PolyLog}\left(-\frac{1}{2},a x\right)",1,"x*PolyLog[-1/2, a*x]","A",2,1,15,0.06667,1,"{6587}"
102,1,78,0,0.0487671,"\int (d x)^m \text{PolyLog}(2,a x) \, dx","Int[(d*x)^m*PolyLog[2, a*x],x]","\frac{(d x)^{m+1} \text{PolyLog}(2,a x)}{d (m+1)}+\frac{a (d x)^{m+2} \, _2F_1(1,m+2;m+3;a x)}{d^2 (m+1)^2 (m+2)}+\frac{\log (1-a x) (d x)^{m+1}}{d (m+1)^2}","\frac{(d x)^{m+1} \text{PolyLog}(2,a x)}{d (m+1)}+\frac{a (d x)^{m+2} \, _2F_1(1,m+2;m+3;a x)}{d^2 (m+1)^2 (m+2)}+\frac{\log (1-a x) (d x)^{m+1}}{d (m+1)^2}",1,"(a*(d*x)^(2 + m)*Hypergeometric2F1[1, 2 + m, 3 + m, a*x])/(d^2*(1 + m)^2*(2 + m)) + ((d*x)^(1 + m)*Log[1 - a*x])/(d*(1 + m)^2) + ((d*x)^(1 + m)*PolyLog[2, a*x])/(d*(1 + m))","A",3,3,11,0.2727,1,"{6591, 2395, 64}"
103,1,102,0,0.0636762,"\int (d x)^m \text{PolyLog}(3,a x) \, dx","Int[(d*x)^m*PolyLog[3, a*x],x]","-\frac{(d x)^{m+1} \text{PolyLog}(2,a x)}{d (m+1)^2}+\frac{(d x)^{m+1} \text{PolyLog}(3,a x)}{d (m+1)}-\frac{a (d x)^{m+2} \, _2F_1(1,m+2;m+3;a x)}{d^2 (m+1)^3 (m+2)}-\frac{\log (1-a x) (d x)^{m+1}}{d (m+1)^3}","-\frac{(d x)^{m+1} \text{PolyLog}(2,a x)}{d (m+1)^2}+\frac{(d x)^{m+1} \text{PolyLog}(3,a x)}{d (m+1)}-\frac{a (d x)^{m+2} \, _2F_1(1,m+2;m+3;a x)}{d^2 (m+1)^3 (m+2)}-\frac{\log (1-a x) (d x)^{m+1}}{d (m+1)^3}",1,"-((a*(d*x)^(2 + m)*Hypergeometric2F1[1, 2 + m, 3 + m, a*x])/(d^2*(1 + m)^3*(2 + m))) - ((d*x)^(1 + m)*Log[1 - a*x])/(d*(1 + m)^3) - ((d*x)^(1 + m)*PolyLog[2, a*x])/(d*(1 + m)^2) + ((d*x)^(1 + m)*PolyLog[3, a*x])/(d*(1 + m))","A",4,3,11,0.2727,1,"{6591, 2395, 64}"
104,1,121,0,0.0857405,"\int (d x)^m \text{PolyLog}(4,a x) \, dx","Int[(d*x)^m*PolyLog[4, a*x],x]","\frac{(d x)^{m+1} \text{PolyLog}(2,a x)}{d (m+1)^3}-\frac{(d x)^{m+1} \text{PolyLog}(3,a x)}{d (m+1)^2}+\frac{(d x)^{m+1} \text{PolyLog}(4,a x)}{d (m+1)}+\frac{a (d x)^{m+2} \, _2F_1(1,m+2;m+3;a x)}{d^2 (m+1)^4 (m+2)}+\frac{\log (1-a x) (d x)^{m+1}}{d (m+1)^4}","\frac{(d x)^{m+1} \text{PolyLog}(2,a x)}{d (m+1)^3}-\frac{(d x)^{m+1} \text{PolyLog}(3,a x)}{d (m+1)^2}+\frac{(d x)^{m+1} \text{PolyLog}(4,a x)}{d (m+1)}+\frac{a (d x)^{m+2} \, _2F_1(1,m+2;m+3;a x)}{d^2 (m+1)^4 (m+2)}+\frac{\log (1-a x) (d x)^{m+1}}{d (m+1)^4}",1,"(a*(d*x)^(2 + m)*Hypergeometric2F1[1, 2 + m, 3 + m, a*x])/(d^2*(1 + m)^4*(2 + m)) + ((d*x)^(1 + m)*Log[1 - a*x])/(d*(1 + m)^4) + ((d*x)^(1 + m)*PolyLog[2, a*x])/(d*(1 + m)^3) - ((d*x)^(1 + m)*PolyLog[3, a*x])/(d*(1 + m)^2) + ((d*x)^(1 + m)*PolyLog[4, a*x])/(d*(1 + m))","A",5,3,11,0.2727,1,"{6591, 2395, 64}"
105,1,94,0,0.0549094,"\int (d x)^m \text{PolyLog}\left(2,a x^2\right) \, dx","Int[(d*x)^m*PolyLog[2, a*x^2],x]","\frac{(d x)^{m+1} \text{PolyLog}\left(2,a x^2\right)}{d (m+1)}+\frac{4 a (d x)^{m+3} \, _2F_1\left(1,\frac{m+3}{2};\frac{m+5}{2};a x^2\right)}{d^3 (m+1)^2 (m+3)}+\frac{2 \log \left(1-a x^2\right) (d x)^{m+1}}{d (m+1)^2}","\frac{(d x)^{m+1} \text{PolyLog}\left(2,a x^2\right)}{d (m+1)}+\frac{4 a (d x)^{m+3} \, _2F_1\left(1,\frac{m+3}{2};\frac{m+5}{2};a x^2\right)}{d^3 (m+1)^2 (m+3)}+\frac{2 \log \left(1-a x^2\right) (d x)^{m+1}}{d (m+1)^2}",1,"(4*a*(d*x)^(3 + m)*Hypergeometric2F1[1, (3 + m)/2, (5 + m)/2, a*x^2])/(d^3*(1 + m)^2*(3 + m)) + (2*(d*x)^(1 + m)*Log[1 - a*x^2])/(d*(1 + m)^2) + ((d*x)^(1 + m)*PolyLog[2, a*x^2])/(d*(1 + m))","A",4,4,13,0.3077,1,"{6591, 2455, 16, 364}"
106,1,118,0,0.0712051,"\int (d x)^m \text{PolyLog}\left(3,a x^2\right) \, dx","Int[(d*x)^m*PolyLog[3, a*x^2],x]","-\frac{2 (d x)^{m+1} \text{PolyLog}\left(2,a x^2\right)}{d (m+1)^2}+\frac{(d x)^{m+1} \text{PolyLog}\left(3,a x^2\right)}{d (m+1)}-\frac{8 a (d x)^{m+3} \, _2F_1\left(1,\frac{m+3}{2};\frac{m+5}{2};a x^2\right)}{d^3 (m+1)^3 (m+3)}-\frac{4 \log \left(1-a x^2\right) (d x)^{m+1}}{d (m+1)^3}","-\frac{2 (d x)^{m+1} \text{PolyLog}\left(2,a x^2\right)}{d (m+1)^2}+\frac{(d x)^{m+1} \text{PolyLog}\left(3,a x^2\right)}{d (m+1)}-\frac{8 a (d x)^{m+3} \, _2F_1\left(1,\frac{m+3}{2};\frac{m+5}{2};a x^2\right)}{d^3 (m+1)^3 (m+3)}-\frac{4 \log \left(1-a x^2\right) (d x)^{m+1}}{d (m+1)^3}",1,"(-8*a*(d*x)^(3 + m)*Hypergeometric2F1[1, (3 + m)/2, (5 + m)/2, a*x^2])/(d^3*(1 + m)^3*(3 + m)) - (4*(d*x)^(1 + m)*Log[1 - a*x^2])/(d*(1 + m)^3) - (2*(d*x)^(1 + m)*PolyLog[2, a*x^2])/(d*(1 + m)^2) + ((d*x)^(1 + m)*PolyLog[3, a*x^2])/(d*(1 + m))","A",5,4,13,0.3077,1,"{6591, 2455, 16, 364}"
107,1,142,0,0.0934271,"\int (d x)^m \text{PolyLog}\left(4,a x^2\right) \, dx","Int[(d*x)^m*PolyLog[4, a*x^2],x]","\frac{4 (d x)^{m+1} \text{PolyLog}\left(2,a x^2\right)}{d (m+1)^3}-\frac{2 (d x)^{m+1} \text{PolyLog}\left(3,a x^2\right)}{d (m+1)^2}+\frac{(d x)^{m+1} \text{PolyLog}\left(4,a x^2\right)}{d (m+1)}+\frac{16 a (d x)^{m+3} \, _2F_1\left(1,\frac{m+3}{2};\frac{m+5}{2};a x^2\right)}{d^3 (m+1)^4 (m+3)}+\frac{8 \log \left(1-a x^2\right) (d x)^{m+1}}{d (m+1)^4}","\frac{4 (d x)^{m+1} \text{PolyLog}\left(2,a x^2\right)}{d (m+1)^3}-\frac{2 (d x)^{m+1} \text{PolyLog}\left(3,a x^2\right)}{d (m+1)^2}+\frac{(d x)^{m+1} \text{PolyLog}\left(4,a x^2\right)}{d (m+1)}+\frac{16 a (d x)^{m+3} \, _2F_1\left(1,\frac{m+3}{2};\frac{m+5}{2};a x^2\right)}{d^3 (m+1)^4 (m+3)}+\frac{8 \log \left(1-a x^2\right) (d x)^{m+1}}{d (m+1)^4}",1,"(16*a*(d*x)^(3 + m)*Hypergeometric2F1[1, (3 + m)/2, (5 + m)/2, a*x^2])/(d^3*(1 + m)^4*(3 + m)) + (8*(d*x)^(1 + m)*Log[1 - a*x^2])/(d*(1 + m)^4) + (4*(d*x)^(1 + m)*PolyLog[2, a*x^2])/(d*(1 + m)^3) - (2*(d*x)^(1 + m)*PolyLog[3, a*x^2])/(d*(1 + m)^2) + ((d*x)^(1 + m)*PolyLog[4, a*x^2])/(d*(1 + m))","A",6,4,13,0.3077,1,"{6591, 2455, 16, 364}"
108,1,94,0,0.0547537,"\int (d x)^m \text{PolyLog}\left(2,a x^3\right) \, dx","Int[(d*x)^m*PolyLog[2, a*x^3],x]","\frac{(d x)^{m+1} \text{PolyLog}\left(2,a x^3\right)}{d (m+1)}+\frac{9 a (d x)^{m+4} \, _2F_1\left(1,\frac{m+4}{3};\frac{m+7}{3};a x^3\right)}{d^4 (m+1)^2 (m+4)}+\frac{3 \log \left(1-a x^3\right) (d x)^{m+1}}{d (m+1)^2}","\frac{(d x)^{m+1} \text{PolyLog}\left(2,a x^3\right)}{d (m+1)}+\frac{9 a (d x)^{m+4} \, _2F_1\left(1,\frac{m+4}{3};\frac{m+7}{3};a x^3\right)}{d^4 (m+1)^2 (m+4)}+\frac{3 \log \left(1-a x^3\right) (d x)^{m+1}}{d (m+1)^2}",1,"(9*a*(d*x)^(4 + m)*Hypergeometric2F1[1, (4 + m)/3, (7 + m)/3, a*x^3])/(d^4*(1 + m)^2*(4 + m)) + (3*(d*x)^(1 + m)*Log[1 - a*x^3])/(d*(1 + m)^2) + ((d*x)^(1 + m)*PolyLog[2, a*x^3])/(d*(1 + m))","A",4,4,13,0.3077,1,"{6591, 2455, 16, 364}"
109,1,118,0,0.0712691,"\int (d x)^m \text{PolyLog}\left(3,a x^3\right) \, dx","Int[(d*x)^m*PolyLog[3, a*x^3],x]","-\frac{3 (d x)^{m+1} \text{PolyLog}\left(2,a x^3\right)}{d (m+1)^2}+\frac{(d x)^{m+1} \text{PolyLog}\left(3,a x^3\right)}{d (m+1)}-\frac{27 a (d x)^{m+4} \, _2F_1\left(1,\frac{m+4}{3};\frac{m+7}{3};a x^3\right)}{d^4 (m+1)^3 (m+4)}-\frac{9 \log \left(1-a x^3\right) (d x)^{m+1}}{d (m+1)^3}","-\frac{3 (d x)^{m+1} \text{PolyLog}\left(2,a x^3\right)}{d (m+1)^2}+\frac{(d x)^{m+1} \text{PolyLog}\left(3,a x^3\right)}{d (m+1)}-\frac{27 a (d x)^{m+4} \, _2F_1\left(1,\frac{m+4}{3};\frac{m+7}{3};a x^3\right)}{d^4 (m+1)^3 (m+4)}-\frac{9 \log \left(1-a x^3\right) (d x)^{m+1}}{d (m+1)^3}",1,"(-27*a*(d*x)^(4 + m)*Hypergeometric2F1[1, (4 + m)/3, (7 + m)/3, a*x^3])/(d^4*(1 + m)^3*(4 + m)) - (9*(d*x)^(1 + m)*Log[1 - a*x^3])/(d*(1 + m)^3) - (3*(d*x)^(1 + m)*PolyLog[2, a*x^3])/(d*(1 + m)^2) + ((d*x)^(1 + m)*PolyLog[3, a*x^3])/(d*(1 + m))","A",5,4,13,0.3077,1,"{6591, 2455, 16, 364}"
110,1,142,0,0.0943941,"\int (d x)^m \text{PolyLog}\left(4,a x^3\right) \, dx","Int[(d*x)^m*PolyLog[4, a*x^3],x]","\frac{9 (d x)^{m+1} \text{PolyLog}\left(2,a x^3\right)}{d (m+1)^3}-\frac{3 (d x)^{m+1} \text{PolyLog}\left(3,a x^3\right)}{d (m+1)^2}+\frac{(d x)^{m+1} \text{PolyLog}\left(4,a x^3\right)}{d (m+1)}+\frac{81 a (d x)^{m+4} \, _2F_1\left(1,\frac{m+4}{3};\frac{m+7}{3};a x^3\right)}{d^4 (m+1)^4 (m+4)}+\frac{27 \log \left(1-a x^3\right) (d x)^{m+1}}{d (m+1)^4}","\frac{9 (d x)^{m+1} \text{PolyLog}\left(2,a x^3\right)}{d (m+1)^3}-\frac{3 (d x)^{m+1} \text{PolyLog}\left(3,a x^3\right)}{d (m+1)^2}+\frac{(d x)^{m+1} \text{PolyLog}\left(4,a x^3\right)}{d (m+1)}+\frac{81 a (d x)^{m+4} \, _2F_1\left(1,\frac{m+4}{3};\frac{m+7}{3};a x^3\right)}{d^4 (m+1)^4 (m+4)}+\frac{27 \log \left(1-a x^3\right) (d x)^{m+1}}{d (m+1)^4}",1,"(81*a*(d*x)^(4 + m)*Hypergeometric2F1[1, (4 + m)/3, (7 + m)/3, a*x^3])/(d^4*(1 + m)^4*(4 + m)) + (27*(d*x)^(1 + m)*Log[1 - a*x^3])/(d*(1 + m)^4) + (9*(d*x)^(1 + m)*PolyLog[2, a*x^3])/(d*(1 + m)^3) - (3*(d*x)^(1 + m)*PolyLog[3, a*x^3])/(d*(1 + m)^2) + ((d*x)^(1 + m)*PolyLog[4, a*x^3])/(d*(1 + m))","A",6,4,13,0.3077,1,"{6591, 2455, 16, 364}"
111,1,101,0,0.0597507,"\int (d x)^m \text{PolyLog}\left(2,a x^q\right) \, dx","Int[(d*x)^m*PolyLog[2, a*x^q],x]","\frac{(d x)^{m+1} \text{PolyLog}\left(2,a x^q\right)}{d (m+1)}+\frac{a q^2 x^{q+1} (d x)^m \, _2F_1\left(1,\frac{m+q+1}{q};\frac{m+2 q+1}{q};a x^q\right)}{(m+1)^2 (m+q+1)}+\frac{q (d x)^{m+1} \log \left(1-a x^q\right)}{d (m+1)^2}","\frac{(d x)^{m+1} \text{PolyLog}\left(2,a x^q\right)}{d (m+1)}+\frac{a q^2 x^{q+1} (d x)^m \, _2F_1\left(1,\frac{m+q+1}{q};\frac{m+2 q+1}{q};a x^q\right)}{(m+1)^2 (m+q+1)}+\frac{q (d x)^{m+1} \log \left(1-a x^q\right)}{d (m+1)^2}",1,"(a*q^2*x^(1 + q)*(d*x)^m*Hypergeometric2F1[1, (1 + m + q)/q, (1 + m + 2*q)/q, a*x^q])/((1 + m)^2*(1 + m + q)) + (q*(d*x)^(1 + m)*Log[1 - a*x^q])/(d*(1 + m)^2) + ((d*x)^(1 + m)*PolyLog[2, a*x^q])/(d*(1 + m))","A",4,4,13,0.3077,1,"{6591, 2455, 20, 364}"
112,1,130,0,0.0758585,"\int (d x)^m \text{PolyLog}\left(3,a x^q\right) \, dx","Int[(d*x)^m*PolyLog[3, a*x^q],x]","-\frac{q (d x)^{m+1} \text{PolyLog}\left(2,a x^q\right)}{d (m+1)^2}+\frac{(d x)^{m+1} \text{PolyLog}\left(3,a x^q\right)}{d (m+1)}-\frac{a q^3 x^{q+1} (d x)^m \, _2F_1\left(1,\frac{m+q+1}{q};\frac{m+2 q+1}{q};a x^q\right)}{(m+1)^3 (m+q+1)}-\frac{q^2 (d x)^{m+1} \log \left(1-a x^q\right)}{d (m+1)^3}","-\frac{q (d x)^{m+1} \text{PolyLog}\left(2,a x^q\right)}{d (m+1)^2}+\frac{(d x)^{m+1} \text{PolyLog}\left(3,a x^q\right)}{d (m+1)}-\frac{a q^3 x^{q+1} (d x)^m \, _2F_1\left(1,\frac{m+q+1}{q};\frac{m+2 q+1}{q};a x^q\right)}{(m+1)^3 (m+q+1)}-\frac{q^2 (d x)^{m+1} \log \left(1-a x^q\right)}{d (m+1)^3}",1,"-((a*q^3*x^(1 + q)*(d*x)^m*Hypergeometric2F1[1, (1 + m + q)/q, (1 + m + 2*q)/q, a*x^q])/((1 + m)^3*(1 + m + q))) - (q^2*(d*x)^(1 + m)*Log[1 - a*x^q])/(d*(1 + m)^3) - (q*(d*x)^(1 + m)*PolyLog[2, a*x^q])/(d*(1 + m)^2) + ((d*x)^(1 + m)*PolyLog[3, a*x^q])/(d*(1 + m))","A",5,4,13,0.3077,1,"{6591, 2455, 20, 364}"
113,1,154,0,0.1017422,"\int (d x)^m \text{PolyLog}\left(4,a x^q\right) \, dx","Int[(d*x)^m*PolyLog[4, a*x^q],x]","\frac{q^2 (d x)^{m+1} \text{PolyLog}\left(2,a x^q\right)}{d (m+1)^3}-\frac{q (d x)^{m+1} \text{PolyLog}\left(3,a x^q\right)}{d (m+1)^2}+\frac{(d x)^{m+1} \text{PolyLog}\left(4,a x^q\right)}{d (m+1)}+\frac{a q^4 x^{q+1} (d x)^m \, _2F_1\left(1,\frac{m+q+1}{q};\frac{m+2 q+1}{q};a x^q\right)}{(m+1)^4 (m+q+1)}+\frac{q^3 (d x)^{m+1} \log \left(1-a x^q\right)}{d (m+1)^4}","\frac{q^2 (d x)^{m+1} \text{PolyLog}\left(2,a x^q\right)}{d (m+1)^3}-\frac{q (d x)^{m+1} \text{PolyLog}\left(3,a x^q\right)}{d (m+1)^2}+\frac{(d x)^{m+1} \text{PolyLog}\left(4,a x^q\right)}{d (m+1)}+\frac{a q^4 x^{q+1} (d x)^m \, _2F_1\left(1,\frac{m+q+1}{q};\frac{m+2 q+1}{q};a x^q\right)}{(m+1)^4 (m+q+1)}+\frac{q^3 (d x)^{m+1} \log \left(1-a x^q\right)}{d (m+1)^4}",1,"(a*q^4*x^(1 + q)*(d*x)^m*Hypergeometric2F1[1, (1 + m + q)/q, (1 + m + 2*q)/q, a*x^q])/((1 + m)^4*(1 + m + q)) + (q^3*(d*x)^(1 + m)*Log[1 - a*x^q])/(d*(1 + m)^4) + (q^2*(d*x)^(1 + m)*PolyLog[2, a*x^q])/(d*(1 + m)^3) - (q*(d*x)^(1 + m)*PolyLog[3, a*x^q])/(d*(1 + m)^2) + ((d*x)^(1 + m)*PolyLog[4, a*x^q])/(d*(1 + m))","A",6,4,13,0.3077,1,"{6591, 2455, 20, 364}"
114,0,0,0,0.0054963,"\int x \text{PolyLog}(n,a x) \, dx","Int[x*PolyLog[n, a*x],x]","\int x \text{PolyLog}(n,a x) \, dx","\text{Int}(x \text{PolyLog}(n,a x),x)",0,"Defer[Int][x*PolyLog[n, a*x], x]","A",0,0,0,0,-1,"{}"
115,0,0,0,0.0022881,"\int \text{PolyLog}(n,a x) \, dx","Int[PolyLog[n, a*x],x]","\int \text{PolyLog}(n,a x) \, dx","\text{Int}(\text{PolyLog}(n,a x),x)",0,"Defer[Int][PolyLog[n, a*x], x]","A",0,0,0,0,-1,"{}"
116,1,7,0,0.0089991,"\int \frac{\text{PolyLog}(n,a x)}{x} \, dx","Int[PolyLog[n, a*x]/x,x]","\text{PolyLog}(n+1,a x)","\text{PolyLog}(n+1,a x)",1,"PolyLog[1 + n, a*x]","A",1,1,9,0.1111,1,"{6589}"
117,0,0,0,0.0093445,"\int \frac{\text{PolyLog}(n,a x)}{x^2} \, dx","Int[PolyLog[n, a*x]/x^2,x]","\int \frac{\text{PolyLog}(n,a x)}{x^2} \, dx","\text{Int}\left(\frac{\text{PolyLog}(n,a x)}{x^2},x\right)",0,"Defer[Int][PolyLog[n, a*x]/x^2, x]","A",0,0,0,0,-1,"{}"
118,0,0,0,0.0089528,"\int \frac{\text{PolyLog}(n,a x)}{x^3} \, dx","Int[PolyLog[n, a*x]/x^3,x]","\int \frac{\text{PolyLog}(n,a x)}{x^3} \, dx","\text{Int}\left(\frac{\text{PolyLog}(n,a x)}{x^3},x\right)",0,"Defer[Int][PolyLog[n, a*x]/x^3, x]","A",0,0,0,0,-1,"{}"
119,0,0,0,0.0056386,"\int x \text{PolyLog}\left(n,a x^q\right) \, dx","Int[x*PolyLog[n, a*x^q],x]","\int x \text{PolyLog}\left(n,a x^q\right) \, dx","\text{Int}\left(x \text{PolyLog}\left(n,a x^q\right),x\right)",0,"Defer[Int][x*PolyLog[n, a*x^q], x]","A",0,0,0,0,-1,"{}"
120,0,0,0,0.0025715,"\int \text{PolyLog}\left(n,a x^q\right) \, dx","Int[PolyLog[n, a*x^q],x]","\int \text{PolyLog}\left(n,a x^q\right) \, dx","\text{Int}\left(\text{PolyLog}\left(n,a x^q\right),x\right)",0,"Defer[Int][PolyLog[n, a*x^q], x]","A",0,0,0,0,-1,"{}"
121,1,13,0,0.0098521,"\int \frac{\text{PolyLog}\left(n,a x^q\right)}{x} \, dx","Int[PolyLog[n, a*x^q]/x,x]","\frac{\text{PolyLog}\left(n+1,a x^q\right)}{q}","\frac{\text{PolyLog}\left(n+1,a x^q\right)}{q}",1,"PolyLog[1 + n, a*x^q]/q","A",1,1,11,0.09091,1,"{6589}"
122,0,0,0,0.0093166,"\int \frac{\text{PolyLog}\left(n,a x^q\right)}{x^2} \, dx","Int[PolyLog[n, a*x^q]/x^2,x]","\int \frac{\text{PolyLog}\left(n,a x^q\right)}{x^2} \, dx","\text{Int}\left(\frac{\text{PolyLog}\left(n,a x^q\right)}{x^2},x\right)",0,"Defer[Int][PolyLog[n, a*x^q]/x^2, x]","A",0,0,0,0,-1,"{}"
123,0,0,0,0.0094303,"\int \frac{\text{PolyLog}\left(n,a x^q\right)}{x^3} \, dx","Int[PolyLog[n, a*x^q]/x^3,x]","\int \frac{\text{PolyLog}\left(n,a x^q\right)}{x^3} \, dx","\text{Int}\left(\frac{\text{PolyLog}\left(n,a x^q\right)}{x^3},x\right)",0,"Defer[Int][PolyLog[n, a*x^q]/x^3, x]","A",0,0,0,0,-1,"{}"
124,1,260,0,0.320951,"\int x^2 \text{PolyLog}(2,c (a+b x)) \, dx","Int[x^2*PolyLog[2, c*(a + b*x)],x]","\frac{a^3 \text{PolyLog}(2,c (a+b x))}{3 b^3}+\frac{1}{3} x^3 \text{PolyLog}(2,c (a+b x))-\frac{a^2 (-a c-b c x+1) \log (-a c-b c x+1)}{3 b^3 c}-\frac{a^2 x}{3 b^2}-\frac{x (1-a c)^2}{9 b^2 c^2}+\frac{a (1-a c)^2 \log (-a c-b c x+1)}{6 b^3 c^2}-\frac{(1-a c)^3 \log (-a c-b c x+1)}{9 b^3 c^3}+\frac{a x (1-a c)}{6 b^2 c}-\frac{x^2 (1-a c)}{18 b c}-\frac{a x^2 \log (-a c-b c x+1)}{6 b}+\frac{1}{9} x^3 \log (-a c-b c x+1)+\frac{a x^2}{12 b}-\frac{x^3}{27}","\frac{a^3 \text{PolyLog}(2,c (a+b x))}{3 b^3}+\frac{1}{3} x^3 \text{PolyLog}(2,c (a+b x))-\frac{a^2 (-a c-b c x+1) \log (-a c-b c x+1)}{3 b^3 c}-\frac{a^2 x}{3 b^2}-\frac{x (1-a c)^2}{9 b^2 c^2}+\frac{a (1-a c)^2 \log (-a c-b c x+1)}{6 b^3 c^2}-\frac{(1-a c)^3 \log (-a c-b c x+1)}{9 b^3 c^3}+\frac{a x (1-a c)}{6 b^2 c}-\frac{x^2 (1-a c)}{18 b c}-\frac{a x^2 \log (-a c-b c x+1)}{6 b}+\frac{1}{9} x^3 \log (-a c-b c x+1)+\frac{a x^2}{12 b}-\frac{x^3}{27}",1,"-(a^2*x)/(3*b^2) + (a*(1 - a*c)*x)/(6*b^2*c) - ((1 - a*c)^2*x)/(9*b^2*c^2) + (a*x^2)/(12*b) - ((1 - a*c)*x^2)/(18*b*c) - x^3/27 + (a*(1 - a*c)^2*Log[1 - a*c - b*c*x])/(6*b^3*c^2) - ((1 - a*c)^3*Log[1 - a*c - b*c*x])/(9*b^3*c^3) - (a*x^2*Log[1 - a*c - b*c*x])/(6*b) + (x^3*Log[1 - a*c - b*c*x])/9 - (a^2*(1 - a*c - b*c*x)*Log[1 - a*c - b*c*x])/(3*b^3*c) + (a^3*PolyLog[2, c*(a + b*x)])/(3*b^3) + (x^3*PolyLog[2, c*(a + b*x)])/3","A",13,8,13,0.6154,1,"{6598, 43, 2416, 2389, 2295, 2395, 2393, 2391}"
125,1,152,0,0.1692192,"\int x \text{PolyLog}(2,c (a+b x)) \, dx","Int[x*PolyLog[2, c*(a + b*x)],x]","-\frac{a^2 \text{PolyLog}(2,c (a+b x))}{2 b^2}+\frac{1}{2} x^2 \text{PolyLog}(2,c (a+b x))-\frac{(1-a c)^2 \log (-a c-b c x+1)}{4 b^2 c^2}+\frac{a (-a c-b c x+1) \log (-a c-b c x+1)}{2 b^2 c}+\frac{1}{4} x^2 \log (-a c-b c x+1)-\frac{x (1-a c)}{4 b c}+\frac{a x}{2 b}-\frac{x^2}{8}","-\frac{a^2 \text{PolyLog}(2,c (a+b x))}{2 b^2}+\frac{1}{2} x^2 \text{PolyLog}(2,c (a+b x))-\frac{(1-a c)^2 \log (-a c-b c x+1)}{4 b^2 c^2}+\frac{a (-a c-b c x+1) \log (-a c-b c x+1)}{2 b^2 c}+\frac{1}{4} x^2 \log (-a c-b c x+1)-\frac{x (1-a c)}{4 b c}+\frac{a x}{2 b}-\frac{x^2}{8}",1,"(a*x)/(2*b) - ((1 - a*c)*x)/(4*b*c) - x^2/8 - ((1 - a*c)^2*Log[1 - a*c - b*c*x])/(4*b^2*c^2) + (x^2*Log[1 - a*c - b*c*x])/4 + (a*(1 - a*c - b*c*x)*Log[1 - a*c - b*c*x])/(2*b^2*c) - (a^2*PolyLog[2, c*(a + b*x)])/(2*b^2) + (x^2*PolyLog[2, c*(a + b*x)])/2","A",10,8,11,0.7273,1,"{6598, 43, 2416, 2389, 2295, 2395, 2393, 2391}"
126,1,60,0,0.0486846,"\int \text{PolyLog}(2,c (a+b x)) \, dx","Int[PolyLog[2, c*(a + b*x)],x]","x \text{PolyLog}(2,c (a+b x))+\frac{a \text{PolyLog}(2,c (a+b x))}{b}-\frac{(-a c-b c x+1) \log (-a c-b c x+1)}{b c}-x","x \text{PolyLog}(2,c (a+b x))+\frac{a \text{PolyLog}(2,c (a+b x))}{b}-\frac{(-a c-b c x+1) \log (-a c-b c x+1)}{b c}-x",1,"-x - ((1 - a*c - b*c*x)*Log[1 - a*c - b*c*x])/(b*c) + (a*PolyLog[2, c*(a + b*x)])/b + x*PolyLog[2, c*(a + b*x)]","A",7,7,9,0.7778,1,"{6595, 2444, 2389, 2295, 2421, 2393, 2391}"
127,1,401,0,0.3550294,"\int \frac{\text{PolyLog}(2,c (a+b x))}{x} \, dx","Int[PolyLog[2, c*(a + b*x)]/x,x]","\text{PolyLog}\left(3,-\frac{b x}{a (1-c (a+b x))}\right)-\text{PolyLog}\left(3,-\frac{b c x}{1-c (a+b x)}\right)-\text{PolyLog}(3,1-c (a+b x))+\log \left(-\frac{a (1-c (a+b x))}{b x}\right) \text{PolyLog}\left(2,-\frac{b x}{a (1-c (a+b x))}\right)-\log \left(-\frac{a (1-c (a+b x))}{b x}\right) \text{PolyLog}\left(2,-\frac{b c x}{1-c (a+b x)}\right)+\text{PolyLog}\left(2,-\frac{b x}{a}\right) \left(\log (1-c (a+b x))-\log \left(-\frac{a (1-c (a+b x))}{b x}\right)\right)+\log (x) \text{PolyLog}(2,c (a+b x))+\left(\log \left(-\frac{a (1-c (a+b x))}{b x}\right)+\log (x)\right) \text{PolyLog}(2,1-c (a+b x))-\text{PolyLog}\left(3,-\frac{b x}{a}\right)+\frac{1}{2} \left(\log \left(\frac{1-a c}{1-c (a+b x)}\right)-\log \left(\frac{(1-a c) (a+b x)}{a (1-c (a+b x))}\right)+\log \left(\frac{b x}{a}+1\right)\right) \log ^2\left(-\frac{a (1-c (a+b x))}{b x}\right)+\frac{1}{2} \left(\log (c (a+b x))-\log \left(\frac{b x}{a}+1\right)\right) \left(\log \left(-\frac{a (1-c (a+b x))}{b x}\right)+\log (x)\right)^2+\log (x) \log \left(\frac{b x}{a}+1\right) \log (1-c (a+b x))","\text{PolyLog}\left(3,-\frac{b x}{a (1-c (a+b x))}\right)-\text{PolyLog}\left(3,-\frac{b c x}{1-c (a+b x)}\right)-\text{PolyLog}(3,1-c (a+b x))+\log \left(-\frac{a (1-c (a+b x))}{b x}\right) \text{PolyLog}\left(2,-\frac{b x}{a (1-c (a+b x))}\right)-\log \left(-\frac{a (1-c (a+b x))}{b x}\right) \text{PolyLog}\left(2,-\frac{b c x}{1-c (a+b x)}\right)+\text{PolyLog}\left(2,-\frac{b x}{a}\right) \left(\log (1-c (a+b x))-\log \left(-\frac{a (1-c (a+b x))}{b x}\right)\right)+\log (x) \text{PolyLog}(2,c (a+b x))+\left(\log \left(-\frac{a (1-c (a+b x))}{b x}\right)+\log (x)\right) \text{PolyLog}(2,1-c (a+b x))-\text{PolyLog}\left(3,-\frac{b x}{a}\right)+\frac{1}{2} \left(\log \left(\frac{1-a c}{1-c (a+b x)}\right)-\log \left(\frac{(1-a c) (a+b x)}{a (1-c (a+b x))}\right)+\log \left(\frac{b x}{a}+1\right)\right) \log ^2\left(-\frac{a (1-c (a+b x))}{b x}\right)+\frac{1}{2} \left(\log (c (a+b x))-\log \left(\frac{b x}{a}+1\right)\right) \left(\log \left(-\frac{a (1-c (a+b x))}{b x}\right)+\log (x)\right)^2+\log (x) \log \left(\frac{b x}{a}+1\right) \log (1-c (a+b x))",1,"Log[x]*Log[1 + (b*x)/a]*Log[1 - c*(a + b*x)] + ((Log[1 + (b*x)/a] + Log[(1 - a*c)/(1 - c*(a + b*x))] - Log[((1 - a*c)*(a + b*x))/(a*(1 - c*(a + b*x)))])*Log[-((a*(1 - c*(a + b*x)))/(b*x))]^2)/2 + ((Log[c*(a + b*x)] - Log[1 + (b*x)/a])*(Log[x] + Log[-((a*(1 - c*(a + b*x)))/(b*x))])^2)/2 + (Log[1 - c*(a + b*x)] - Log[-((a*(1 - c*(a + b*x)))/(b*x))])*PolyLog[2, -((b*x)/a)] + Log[x]*PolyLog[2, c*(a + b*x)] + Log[-((a*(1 - c*(a + b*x)))/(b*x))]*PolyLog[2, -((b*x)/(a*(1 - c*(a + b*x))))] - Log[-((a*(1 - c*(a + b*x)))/(b*x))]*PolyLog[2, -((b*c*x)/(1 - c*(a + b*x)))] + (Log[x] + Log[-((a*(1 - c*(a + b*x)))/(b*x))])*PolyLog[2, 1 - c*(a + b*x)] - PolyLog[3, -((b*x)/a)] + PolyLog[3, -((b*x)/(a*(1 - c*(a + b*x))))] - PolyLog[3, -((b*c*x)/(1 - c*(a + b*x)))] - PolyLog[3, 1 - c*(a + b*x)]","A",3,3,13,0.2308,1,"{6597, 2440, 2435}"
128,1,84,0,0.1165639,"\int \frac{\text{PolyLog}(2,c (a+b x))}{x^2} \, dx","Int[PolyLog[2, c*(a + b*x)]/x^2,x]","-\frac{b \text{PolyLog}(2,c (a+b x))}{a}-\frac{\text{PolyLog}(2,c (a+b x))}{x}-\frac{b \text{PolyLog}\left(2,1-\frac{b c x}{1-a c}\right)}{a}-\frac{b \log \left(\frac{b c x}{1-a c}\right) \log (-a c-b c x+1)}{a}","-\frac{b \text{PolyLog}(2,c (a+b x))}{a}-\frac{\text{PolyLog}(2,c (a+b x))}{x}-\frac{b \text{PolyLog}\left(2,1-\frac{b c x}{1-a c}\right)}{a}-\frac{b \log \left(\frac{b c x}{1-a c}\right) \log (-a c-b c x+1)}{a}",1,"-((b*Log[(b*c*x)/(1 - a*c)]*Log[1 - a*c - b*c*x])/a) - (b*PolyLog[2, c*(a + b*x)])/a - PolyLog[2, c*(a + b*x)]/x - (b*PolyLog[2, 1 - (b*c*x)/(1 - a*c)])/a","A",7,9,13,0.6923,1,"{6598, 36, 29, 31, 2416, 2394, 2315, 2393, 2391}"
129,1,173,0,0.1778592,"\int \frac{\text{PolyLog}(2,c (a+b x))}{x^3} \, dx","Int[PolyLog[2, c*(a + b*x)]/x^3,x]","\frac{b^2 \text{PolyLog}(2,c (a+b x))}{2 a^2}+\frac{b^2 \text{PolyLog}\left(2,1-\frac{b c x}{1-a c}\right)}{2 a^2}-\frac{\text{PolyLog}(2,c (a+b x))}{2 x^2}+\frac{b^2 \log \left(\frac{b c x}{1-a c}\right) \log (-a c-b c x+1)}{2 a^2}+\frac{b^2 c \log (x)}{2 a (1-a c)}-\frac{b^2 c \log (-a c-b c x+1)}{2 a (1-a c)}+\frac{b \log (-a c-b c x+1)}{2 a x}","\frac{b^2 \text{PolyLog}(2,c (a+b x))}{2 a^2}+\frac{b^2 \text{PolyLog}\left(2,1-\frac{b c x}{1-a c}\right)}{2 a^2}-\frac{\text{PolyLog}(2,c (a+b x))}{2 x^2}+\frac{b^2 \log \left(\frac{b c x}{1-a c}\right) \log (-a c-b c x+1)}{2 a^2}+\frac{b^2 c \log (x)}{2 a (1-a c)}-\frac{b^2 c \log (-a c-b c x+1)}{2 a (1-a c)}+\frac{b \log (-a c-b c x+1)}{2 a x}",1,"(b^2*c*Log[x])/(2*a*(1 - a*c)) - (b^2*c*Log[1 - a*c - b*c*x])/(2*a*(1 - a*c)) + (b*Log[1 - a*c - b*c*x])/(2*a*x) + (b^2*Log[(b*c*x)/(1 - a*c)]*Log[1 - a*c - b*c*x])/(2*a^2) + (b^2*PolyLog[2, c*(a + b*x)])/(2*a^2) - PolyLog[2, c*(a + b*x)]/(2*x^2) + (b^2*PolyLog[2, 1 - (b*c*x)/(1 - a*c)])/(2*a^2)","A",11,11,13,0.8462,1,"{6598, 44, 2416, 2395, 36, 29, 31, 2394, 2315, 2393, 2391}"
130,1,276,0,0.2729019,"\int \frac{\text{PolyLog}(2,c (a+b x))}{x^4} \, dx","Int[PolyLog[2, c*(a + b*x)]/x^4,x]","-\frac{b^3 \text{PolyLog}(2,c (a+b x))}{3 a^3}-\frac{b^3 \text{PolyLog}\left(2,1-\frac{b c x}{1-a c}\right)}{3 a^3}-\frac{\text{PolyLog}(2,c (a+b x))}{3 x^3}-\frac{b^3 c \log (x)}{3 a^2 (1-a c)}-\frac{b^3 \log \left(\frac{b c x}{1-a c}\right) \log (-a c-b c x+1)}{3 a^3}+\frac{b^3 c \log (-a c-b c x+1)}{3 a^2 (1-a c)}-\frac{b^2 \log (-a c-b c x+1)}{3 a^2 x}+\frac{b^3 c^2 \log (x)}{6 a (1-a c)^2}-\frac{b^3 c^2 \log (-a c-b c x+1)}{6 a (1-a c)^2}-\frac{b^2 c}{6 a x (1-a c)}+\frac{b \log (-a c-b c x+1)}{6 a x^2}","-\frac{b^3 \text{PolyLog}(2,c (a+b x))}{3 a^3}-\frac{b^3 \text{PolyLog}\left(2,1-\frac{b c x}{1-a c}\right)}{3 a^3}-\frac{\text{PolyLog}(2,c (a+b x))}{3 x^3}-\frac{b^3 c \log (x)}{3 a^2 (1-a c)}-\frac{b^3 \log \left(\frac{b c x}{1-a c}\right) \log (-a c-b c x+1)}{3 a^3}+\frac{b^3 c \log (-a c-b c x+1)}{3 a^2 (1-a c)}-\frac{b^2 \log (-a c-b c x+1)}{3 a^2 x}+\frac{b^3 c^2 \log (x)}{6 a (1-a c)^2}-\frac{b^3 c^2 \log (-a c-b c x+1)}{6 a (1-a c)^2}-\frac{b^2 c}{6 a x (1-a c)}+\frac{b \log (-a c-b c x+1)}{6 a x^2}",1,"-(b^2*c)/(6*a*(1 - a*c)*x) + (b^3*c^2*Log[x])/(6*a*(1 - a*c)^2) - (b^3*c*Log[x])/(3*a^2*(1 - a*c)) - (b^3*c^2*Log[1 - a*c - b*c*x])/(6*a*(1 - a*c)^2) + (b^3*c*Log[1 - a*c - b*c*x])/(3*a^2*(1 - a*c)) + (b*Log[1 - a*c - b*c*x])/(6*a*x^2) - (b^2*Log[1 - a*c - b*c*x])/(3*a^2*x) - (b^3*Log[(b*c*x)/(1 - a*c)]*Log[1 - a*c - b*c*x])/(3*a^3) - (b^3*PolyLog[2, c*(a + b*x)])/(3*a^3) - PolyLog[2, c*(a + b*x)]/(3*x^3) - (b^3*PolyLog[2, 1 - (b*c*x)/(1 - a*c)])/(3*a^3)","A",14,11,13,0.8462,1,"{6598, 44, 2416, 2395, 36, 29, 31, 2394, 2315, 2393, 2391}"
131,1,347,0,0.6377387,"\int x^2 \text{PolyLog}(3,c (a+b x)) \, dx","Int[x^2*PolyLog[3, c*(a + b*x)],x]","-\frac{\left(a^3-b^3 x^3\right) \text{PolyLog}(3,c (a+b x))}{3 b^3}-\frac{11 a^3 \text{PolyLog}(2,c (a+b x))}{18 b^3}+\frac{2 a^3 \text{PolyLog}(3,c (a+b x))}{3 b^3}-\frac{a^2 x \text{PolyLog}(2,c (a+b x))}{3 b^2}+\frac{a x^2 \text{PolyLog}(2,c (a+b x))}{6 b}-\frac{1}{9} x^3 \text{PolyLog}(2,c (a+b x))+\frac{11 a^2 (-a c-b c x+1) \log (-a c-b c x+1)}{18 b^3 c}+\frac{11 a^2 x}{18 b^2}+\frac{x (1-a c)^2}{27 b^2 c^2}-\frac{5 a (1-a c)^2 \log (-a c-b c x+1)}{36 b^3 c^2}+\frac{(1-a c)^3 \log (-a c-b c x+1)}{27 b^3 c^3}-\frac{5 a x (1-a c)}{36 b^2 c}+\frac{x^2 (1-a c)}{54 b c}+\frac{5 a x^2 \log (-a c-b c x+1)}{36 b}-\frac{1}{27} x^3 \log (-a c-b c x+1)-\frac{5 a x^2}{72 b}+\frac{x^3}{81}","-\frac{\left(a^3-b^3 x^3\right) \text{PolyLog}(3,c (a+b x))}{3 b^3}-\frac{11 a^3 \text{PolyLog}(2,c (a+b x))}{18 b^3}+\frac{2 a^3 \text{PolyLog}(3,c (a+b x))}{3 b^3}-\frac{a^2 x \text{PolyLog}(2,c (a+b x))}{3 b^2}+\frac{a x^2 \text{PolyLog}(2,c (a+b x))}{6 b}-\frac{1}{9} x^3 \text{PolyLog}(2,c (a+b x))+\frac{11 a^2 (-a c-b c x+1) \log (-a c-b c x+1)}{18 b^3 c}+\frac{11 a^2 x}{18 b^2}+\frac{x (1-a c)^2}{27 b^2 c^2}-\frac{5 a (1-a c)^2 \log (-a c-b c x+1)}{36 b^3 c^2}+\frac{(1-a c)^3 \log (-a c-b c x+1)}{27 b^3 c^3}-\frac{5 a x (1-a c)}{36 b^2 c}+\frac{x^2 (1-a c)}{54 b c}+\frac{5 a x^2 \log (-a c-b c x+1)}{36 b}-\frac{1}{27} x^3 \log (-a c-b c x+1)-\frac{5 a x^2}{72 b}+\frac{x^3}{81}",1,"(11*a^2*x)/(18*b^2) - (5*a*(1 - a*c)*x)/(36*b^2*c) + ((1 - a*c)^2*x)/(27*b^2*c^2) - (5*a*x^2)/(72*b) + ((1 - a*c)*x^2)/(54*b*c) + x^3/81 - (5*a*(1 - a*c)^2*Log[1 - a*c - b*c*x])/(36*b^3*c^2) + ((1 - a*c)^3*Log[1 - a*c - b*c*x])/(27*b^3*c^3) + (5*a*x^2*Log[1 - a*c - b*c*x])/(36*b) - (x^3*Log[1 - a*c - b*c*x])/27 + (11*a^2*(1 - a*c - b*c*x)*Log[1 - a*c - b*c*x])/(18*b^3*c) - (11*a^3*PolyLog[2, c*(a + b*x)])/(18*b^3) - (a^2*x*PolyLog[2, c*(a + b*x)])/(3*b^2) + (a*x^2*PolyLog[2, c*(a + b*x)])/(6*b) - (x^3*PolyLog[2, c*(a + b*x)])/9 + (2*a^3*PolyLog[3, c*(a + b*x)])/(3*b^3) - ((a^3 - b^3*x^3)*PolyLog[3, c*(a + b*x)])/(3*b^3)","A",33,13,13,1.000,1,"{6599, 6595, 2444, 2389, 2295, 2421, 2393, 2391, 6598, 43, 2416, 2395, 6589}"
132,1,198,0,0.2868995,"\int x \text{PolyLog}(3,c (a+b x)) \, dx","Int[x*PolyLog[3, c*(a + b*x)],x]","-\frac{\left(a^2-b^2 x^2\right) \text{PolyLog}(3,c (a+b x))}{2 b^2}+\frac{3 a^2 \text{PolyLog}(2,c (a+b x))}{4 b^2}-\frac{1}{4} x^2 \text{PolyLog}(2,c (a+b x))+\frac{a x \text{PolyLog}(2,c (a+b x))}{2 b}+\frac{(1-a c)^2 \log (-a c-b c x+1)}{8 b^2 c^2}-\frac{3 a (-a c-b c x+1) \log (-a c-b c x+1)}{4 b^2 c}-\frac{1}{8} x^2 \log (-a c-b c x+1)+\frac{x (1-a c)}{8 b c}-\frac{3 a x}{4 b}+\frac{x^2}{16}","-\frac{\left(a^2-b^2 x^2\right) \text{PolyLog}(3,c (a+b x))}{2 b^2}+\frac{3 a^2 \text{PolyLog}(2,c (a+b x))}{4 b^2}-\frac{1}{4} x^2 \text{PolyLog}(2,c (a+b x))+\frac{a x \text{PolyLog}(2,c (a+b x))}{2 b}+\frac{(1-a c)^2 \log (-a c-b c x+1)}{8 b^2 c^2}-\frac{3 a (-a c-b c x+1) \log (-a c-b c x+1)}{4 b^2 c}-\frac{1}{8} x^2 \log (-a c-b c x+1)+\frac{x (1-a c)}{8 b c}-\frac{3 a x}{4 b}+\frac{x^2}{16}",1,"(-3*a*x)/(4*b) + ((1 - a*c)*x)/(8*b*c) + x^2/16 + ((1 - a*c)^2*Log[1 - a*c - b*c*x])/(8*b^2*c^2) - (x^2*Log[1 - a*c - b*c*x])/8 - (3*a*(1 - a*c - b*c*x)*Log[1 - a*c - b*c*x])/(4*b^2*c) + (3*a^2*PolyLog[2, c*(a + b*x)])/(4*b^2) + (a*x*PolyLog[2, c*(a + b*x)])/(2*b) - (x^2*PolyLog[2, c*(a + b*x)])/4 - ((a^2 - b^2*x^2)*PolyLog[3, c*(a + b*x)])/(2*b^2)","A",19,12,11,1.091,1,"{6599, 6595, 2444, 2389, 2295, 2421, 2393, 2391, 6598, 43, 2416, 2395}"
133,1,84,0,0.0692237,"\int \text{PolyLog}(3,c (a+b x)) \, dx","Int[PolyLog[3, c*(a + b*x)],x]","x (-\text{PolyLog}(2,c (a+b x)))+x \text{PolyLog}(3,c (a+b x))-\frac{a \text{PolyLog}(2,c (a+b x))}{b}+\frac{a \text{PolyLog}(3,c (a+b x))}{b}+\frac{(-a c-b c x+1) \log (-a c-b c x+1)}{b c}+x","x (-\text{PolyLog}(2,c (a+b x)))+x \text{PolyLog}(3,c (a+b x))-\frac{a \text{PolyLog}(2,c (a+b x))}{b}+\frac{a \text{PolyLog}(3,c (a+b x))}{b}+\frac{(-a c-b c x+1) \log (-a c-b c x+1)}{b c}+x",1,"x + ((1 - a*c - b*c*x)*Log[1 - a*c - b*c*x])/(b*c) - (a*PolyLog[2, c*(a + b*x)])/b - x*PolyLog[2, c*(a + b*x)] + (a*PolyLog[3, c*(a + b*x)])/b + x*PolyLog[3, c*(a + b*x)]","A",9,8,9,0.8889,1,"{6595, 2444, 2389, 2295, 2421, 2393, 2391, 6589}"
134,0,0,0,0.0377706,"\int \frac{\text{PolyLog}(3,c (a+b x))}{x} \, dx","Int[PolyLog[3, c*(a + b*x)]/x,x]","\int \frac{\text{PolyLog}(3,c (a+b x))}{x} \, dx","\text{Int}\left(\frac{\text{PolyLog}(3,a c+b c x)}{x},x\right)",0,"Defer[Int][PolyLog[3, a*c + b*c*x]/x, x]","A",0,0,0,0,-1,"{}"
135,1,486,0,0.5599526,"\int \frac{\text{PolyLog}(3,c (a+b x))}{x^2} \, dx","Int[PolyLog[3, c*(a + b*x)]/x^2,x]","-\frac{2 b \text{PolyLog}(3,c (a+b x))}{a}+\frac{\left(b-\frac{a}{x}\right) \text{PolyLog}(3,c (a+b x))}{a}+\frac{b \text{PolyLog}\left(3,-\frac{b x}{a (1-c (a+b x))}\right)}{a}-\frac{b \text{PolyLog}\left(3,-\frac{b c x}{1-c (a+b x)}\right)}{a}-\frac{b \text{PolyLog}(3,1-c (a+b x))}{a}+\frac{b \log \left(-\frac{a (1-c (a+b x))}{b x}\right) \text{PolyLog}\left(2,-\frac{b x}{a (1-c (a+b x))}\right)}{a}-\frac{b \log \left(-\frac{a (1-c (a+b x))}{b x}\right) \text{PolyLog}\left(2,-\frac{b c x}{1-c (a+b x)}\right)}{a}+\frac{b \text{PolyLog}\left(2,-\frac{b x}{a}\right) \left(\log (1-c (a+b x))-\log \left(-\frac{a (1-c (a+b x))}{b x}\right)\right)}{a}+\frac{b \log (x) \text{PolyLog}(2,c (a+b x))}{a}+\frac{b \left(\log \left(-\frac{a (1-c (a+b x))}{b x}\right)+\log (x)\right) \text{PolyLog}(2,1-c (a+b x))}{a}-\frac{b \text{PolyLog}\left(3,-\frac{b x}{a}\right)}{a}+\frac{b \left(\log \left(\frac{1-a c}{1-c (a+b x)}\right)-\log \left(\frac{(1-a c) (a+b x)}{a (1-c (a+b x))}\right)+\log \left(\frac{b x}{a}+1\right)\right) \log ^2\left(-\frac{a (1-c (a+b x))}{b x}\right)}{2 a}+\frac{b \left(\log (c (a+b x))-\log \left(\frac{b x}{a}+1\right)\right) \left(\log \left(-\frac{a (1-c (a+b x))}{b x}\right)+\log (x)\right)^2}{2 a}+\frac{b \log (x) \log \left(\frac{b x}{a}+1\right) \log (1-c (a+b x))}{a}","-\frac{2 b \text{PolyLog}(3,c (a+b x))}{a}+\frac{\left(b-\frac{a}{x}\right) \text{PolyLog}(3,c (a+b x))}{a}+\frac{b \text{PolyLog}\left(3,-\frac{b x}{a (1-c (a+b x))}\right)}{a}-\frac{b \text{PolyLog}\left(3,-\frac{b c x}{1-c (a+b x)}\right)}{a}-\frac{b \text{PolyLog}(3,1-c (a+b x))}{a}+\frac{b \log \left(-\frac{a (1-c (a+b x))}{b x}\right) \text{PolyLog}\left(2,-\frac{b x}{a (1-c (a+b x))}\right)}{a}-\frac{b \log \left(-\frac{a (1-c (a+b x))}{b x}\right) \text{PolyLog}\left(2,-\frac{b c x}{1-c (a+b x)}\right)}{a}+\frac{b \text{PolyLog}\left(2,-\frac{b x}{a}\right) \left(\log (1-c (a+b x))-\log \left(-\frac{a (1-c (a+b x))}{b x}\right)\right)}{a}+\frac{b \log (x) \text{PolyLog}(2,c (a+b x))}{a}+\frac{b \left(\log \left(-\frac{a (1-c (a+b x))}{b x}\right)+\log (x)\right) \text{PolyLog}(2,1-c (a+b x))}{a}-\frac{b \text{PolyLog}\left(3,-\frac{b x}{a}\right)}{a}+\frac{b \left(\log \left(\frac{1-a c}{1-c (a+b x)}\right)-\log \left(\frac{(1-a c) (a+b x)}{a (1-c (a+b x))}\right)+\log \left(\frac{b x}{a}+1\right)\right) \log ^2\left(-\frac{a (1-c (a+b x))}{b x}\right)}{2 a}+\frac{b \left(\log (c (a+b x))-\log \left(\frac{b x}{a}+1\right)\right) \left(\log \left(-\frac{a (1-c (a+b x))}{b x}\right)+\log (x)\right)^2}{2 a}+\frac{b \log (x) \log \left(\frac{b x}{a}+1\right) \log (1-c (a+b x))}{a}",1,"(b*Log[x]*Log[1 + (b*x)/a]*Log[1 - c*(a + b*x)])/a + (b*(Log[1 + (b*x)/a] + Log[(1 - a*c)/(1 - c*(a + b*x))] - Log[((1 - a*c)*(a + b*x))/(a*(1 - c*(a + b*x)))])*Log[-((a*(1 - c*(a + b*x)))/(b*x))]^2)/(2*a) + (b*(Log[c*(a + b*x)] - Log[1 + (b*x)/a])*(Log[x] + Log[-((a*(1 - c*(a + b*x)))/(b*x))])^2)/(2*a) + (b*(Log[1 - c*(a + b*x)] - Log[-((a*(1 - c*(a + b*x)))/(b*x))])*PolyLog[2, -((b*x)/a)])/a + (b*Log[x]*PolyLog[2, c*(a + b*x)])/a + (b*Log[-((a*(1 - c*(a + b*x)))/(b*x))]*PolyLog[2, -((b*x)/(a*(1 - c*(a + b*x))))])/a - (b*Log[-((a*(1 - c*(a + b*x)))/(b*x))]*PolyLog[2, -((b*c*x)/(1 - c*(a + b*x)))])/a + (b*(Log[x] + Log[-((a*(1 - c*(a + b*x)))/(b*x))])*PolyLog[2, 1 - c*(a + b*x)])/a - (b*PolyLog[3, -((b*x)/a)])/a - (2*b*PolyLog[3, c*(a + b*x)])/a + ((b - a/x)*PolyLog[3, c*(a + b*x)])/a + (b*PolyLog[3, -((b*x)/(a*(1 - c*(a + b*x))))])/a - (b*PolyLog[3, -((b*c*x)/(1 - c*(a + b*x)))])/a - (b*PolyLog[3, 1 - c*(a + b*x)])/a","A",6,5,13,0.3846,1,"{6599, 6597, 2440, 2435, 6589}"
136,1,629,0,0.6639083,"\int \frac{\text{PolyLog}(3,c (a+b x))}{x^3} \, dx","Int[PolyLog[3, c*(a + b*x)]/x^3,x]","\frac{\left(b^2-\frac{a^2}{x^2}\right) \text{PolyLog}(3,c (a+b x))}{2 a^2}-\frac{b^2 \text{PolyLog}(2,c (a+b x))}{2 a^2}-\frac{b^2 \text{PolyLog}\left(2,1-\frac{b c x}{1-a c}\right)}{2 a^2}-\frac{b^2 \text{PolyLog}\left(3,-\frac{b x}{a (1-c (a+b x))}\right)}{2 a^2}+\frac{b^2 \text{PolyLog}\left(3,-\frac{b c x}{1-c (a+b x)}\right)}{2 a^2}+\frac{b^2 \text{PolyLog}(3,1-c (a+b x))}{2 a^2}-\frac{b^2 \text{PolyLog}\left(2,-\frac{b x}{a}\right) \left(\log (1-c (a+b x))-\log \left(-\frac{a (1-c (a+b x))}{b x}\right)\right)}{2 a^2}-\frac{b^2 \log (x) \text{PolyLog}(2,c (a+b x))}{2 a^2}-\frac{b^2 \log \left(-\frac{a (1-c (a+b x))}{b x}\right) \text{PolyLog}\left(2,-\frac{b x}{a (1-c (a+b x))}\right)}{2 a^2}+\frac{b^2 \log \left(-\frac{a (1-c (a+b x))}{b x}\right) \text{PolyLog}\left(2,-\frac{b c x}{1-c (a+b x)}\right)}{2 a^2}-\frac{b^2 \left(\log \left(-\frac{a (1-c (a+b x))}{b x}\right)+\log (x)\right) \text{PolyLog}(2,1-c (a+b x))}{2 a^2}+\frac{b^2 \text{PolyLog}\left(3,-\frac{b x}{a}\right)}{2 a^2}-\frac{b \text{PolyLog}(2,c (a+b x))}{2 a x}-\frac{b^2 \left(\log \left(\frac{1-a c}{1-c (a+b x)}\right)-\log \left(\frac{(1-a c) (a+b x)}{a (1-c (a+b x))}\right)+\log \left(\frac{b x}{a}+1\right)\right) \log ^2\left(-\frac{a (1-c (a+b x))}{b x}\right)}{4 a^2}-\frac{b^2 \left(\log (c (a+b x))-\log \left(\frac{b x}{a}+1\right)\right) \left(\log \left(-\frac{a (1-c (a+b x))}{b x}\right)+\log (x)\right)^2}{4 a^2}-\frac{b^2 \log \left(\frac{b c x}{1-a c}\right) \log (-a c-b c x+1)}{2 a^2}-\frac{b^2 \log (x) \log \left(\frac{b x}{a}+1\right) \log (1-c (a+b x))}{2 a^2}","\frac{\left(b^2-\frac{a^2}{x^2}\right) \text{PolyLog}(3,c (a+b x))}{2 a^2}-\frac{b^2 \text{PolyLog}(2,c (a+b x))}{2 a^2}-\frac{b^2 \text{PolyLog}\left(2,1-\frac{b c x}{1-a c}\right)}{2 a^2}-\frac{b^2 \text{PolyLog}\left(3,-\frac{b x}{a (1-c (a+b x))}\right)}{2 a^2}+\frac{b^2 \text{PolyLog}\left(3,-\frac{b c x}{1-c (a+b x)}\right)}{2 a^2}+\frac{b^2 \text{PolyLog}(3,1-c (a+b x))}{2 a^2}-\frac{b^2 \text{PolyLog}\left(2,-\frac{b x}{a}\right) \left(\log (1-c (a+b x))-\log \left(-\frac{a (1-c (a+b x))}{b x}\right)\right)}{2 a^2}-\frac{b^2 \log (x) \text{PolyLog}(2,c (a+b x))}{2 a^2}-\frac{b^2 \log \left(-\frac{a (1-c (a+b x))}{b x}\right) \text{PolyLog}\left(2,-\frac{b x}{a (1-c (a+b x))}\right)}{2 a^2}+\frac{b^2 \log \left(-\frac{a (1-c (a+b x))}{b x}\right) \text{PolyLog}\left(2,-\frac{b c x}{1-c (a+b x)}\right)}{2 a^2}-\frac{b^2 \left(\log \left(-\frac{a (1-c (a+b x))}{b x}\right)+\log (x)\right) \text{PolyLog}(2,1-c (a+b x))}{2 a^2}+\frac{b^2 \text{PolyLog}\left(3,-\frac{b x}{a}\right)}{2 a^2}-\frac{b \text{PolyLog}(2,c (a+b x))}{2 a x}-\frac{b^2 \left(\log \left(\frac{1-a c}{1-c (a+b x)}\right)-\log \left(\frac{(1-a c) (a+b x)}{a (1-c (a+b x))}\right)+\log \left(\frac{b x}{a}+1\right)\right) \log ^2\left(-\frac{a (1-c (a+b x))}{b x}\right)}{4 a^2}-\frac{b^2 \left(\log (c (a+b x))-\log \left(\frac{b x}{a}+1\right)\right) \left(\log \left(-\frac{a (1-c (a+b x))}{b x}\right)+\log (x)\right)^2}{4 a^2}-\frac{b^2 \log \left(\frac{b c x}{1-a c}\right) \log (-a c-b c x+1)}{2 a^2}-\frac{b^2 \log (x) \log \left(\frac{b x}{a}+1\right) \log (1-c (a+b x))}{2 a^2}",1,"-(b^2*Log[(b*c*x)/(1 - a*c)]*Log[1 - a*c - b*c*x])/(2*a^2) - (b^2*Log[x]*Log[1 + (b*x)/a]*Log[1 - c*(a + b*x)])/(2*a^2) - (b^2*(Log[1 + (b*x)/a] + Log[(1 - a*c)/(1 - c*(a + b*x))] - Log[((1 - a*c)*(a + b*x))/(a*(1 - c*(a + b*x)))])*Log[-((a*(1 - c*(a + b*x)))/(b*x))]^2)/(4*a^2) - (b^2*(Log[c*(a + b*x)] - Log[1 + (b*x)/a])*(Log[x] + Log[-((a*(1 - c*(a + b*x)))/(b*x))])^2)/(4*a^2) - (b^2*(Log[1 - c*(a + b*x)] - Log[-((a*(1 - c*(a + b*x)))/(b*x))])*PolyLog[2, -((b*x)/a)])/(2*a^2) - (b^2*PolyLog[2, c*(a + b*x)])/(2*a^2) - (b*PolyLog[2, c*(a + b*x)])/(2*a*x) - (b^2*Log[x]*PolyLog[2, c*(a + b*x)])/(2*a^2) - (b^2*PolyLog[2, 1 - (b*c*x)/(1 - a*c)])/(2*a^2) - (b^2*Log[-((a*(1 - c*(a + b*x)))/(b*x))]*PolyLog[2, -((b*x)/(a*(1 - c*(a + b*x))))])/(2*a^2) + (b^2*Log[-((a*(1 - c*(a + b*x)))/(b*x))]*PolyLog[2, -((b*c*x)/(1 - c*(a + b*x)))])/(2*a^2) - (b^2*(Log[x] + Log[-((a*(1 - c*(a + b*x)))/(b*x))])*PolyLog[2, 1 - c*(a + b*x)])/(2*a^2) + (b^2*PolyLog[3, -((b*x)/a)])/(2*a^2) + ((b^2 - a^2/x^2)*PolyLog[3, c*(a + b*x)])/(2*a^2) - (b^2*PolyLog[3, -((b*x)/(a*(1 - c*(a + b*x))))])/(2*a^2) + (b^2*PolyLog[3, -((b*c*x)/(1 - c*(a + b*x)))])/(2*a^2) + (b^2*PolyLog[3, 1 - c*(a + b*x)])/(2*a^2)","A",12,13,13,1.000,1,"{6599, 6598, 36, 29, 31, 2416, 2394, 2315, 2393, 2391, 6597, 2440, 2435}"
137,1,605,0,0.5872505,"\int (d+e x)^3 \text{PolyLog}(2,c (a+b x)) \, dx","Int[(d + e*x)^3*PolyLog[2, c*(a + b*x)],x]","-\frac{(b d-a e)^4 \text{PolyLog}(2,c (a+b x))}{4 b^4 e}+\frac{(d+e x)^4 \text{PolyLog}(2,c (a+b x))}{4 e}-\frac{x (b d-a e) (-a c e+b c d+e)^2}{12 b^3 c^2}-\frac{(d+e x)^2 (-a c e+b c d+e)^2}{32 b^2 c^2 e}-\frac{x (-a c e+b c d+e)^3}{16 b^3 c^3}-\frac{(b d-a e)^2 (-a c e+b c d+e)^2 \log (-a c-b c x+1)}{8 b^4 c^2 e}-\frac{(b d-a e) (-a c e+b c d+e)^3 \log (-a c-b c x+1)}{12 b^4 c^3 e}-\frac{(-a c e+b c d+e)^4 \log (-a c-b c x+1)}{16 b^4 c^4 e}-\frac{x (b d-a e)^2 (-a c e+b c d+e)}{8 b^3 c}-\frac{(d+e x)^2 (b d-a e) (-a c e+b c d+e)}{24 b^2 c e}-\frac{(-a c-b c x+1) (b d-a e)^3 \log (-a c-b c x+1)}{4 b^4 c}+\frac{(d+e x)^2 (b d-a e)^2 \log (-a c-b c x+1)}{8 b^2 e}-\frac{x (b d-a e)^3}{4 b^3}-\frac{(d+e x)^2 (b d-a e)^2}{16 b^2 e}-\frac{(d+e x)^3 (-a c e+b c d+e)}{48 b c e}+\frac{(d+e x)^3 (b d-a e) \log (-a c-b c x+1)}{12 b e}+\frac{(d+e x)^4 \log (-a c-b c x+1)}{16 e}-\frac{(d+e x)^3 (b d-a e)}{36 b e}-\frac{(d+e x)^4}{64 e}","-\frac{(b d-a e)^4 \text{PolyLog}(2,c (a+b x))}{4 b^4 e}+\frac{(d+e x)^4 \text{PolyLog}(2,c (a+b x))}{4 e}-\frac{x (b d-a e) (-a c e+b c d+e)^2}{12 b^3 c^2}-\frac{(d+e x)^2 (-a c e+b c d+e)^2}{32 b^2 c^2 e}-\frac{x (-a c e+b c d+e)^3}{16 b^3 c^3}-\frac{(b d-a e)^2 (-a c e+b c d+e)^2 \log (-a c-b c x+1)}{8 b^4 c^2 e}-\frac{(b d-a e) (-a c e+b c d+e)^3 \log (-a c-b c x+1)}{12 b^4 c^3 e}-\frac{(-a c e+b c d+e)^4 \log (-a c-b c x+1)}{16 b^4 c^4 e}-\frac{x (b d-a e)^2 (-a c e+b c d+e)}{8 b^3 c}-\frac{(d+e x)^2 (b d-a e) (-a c e+b c d+e)}{24 b^2 c e}-\frac{(-a c-b c x+1) (b d-a e)^3 \log (-a c-b c x+1)}{4 b^4 c}+\frac{(d+e x)^2 (b d-a e)^2 \log (-a c-b c x+1)}{8 b^2 e}-\frac{x (b d-a e)^3}{4 b^3}-\frac{(d+e x)^2 (b d-a e)^2}{16 b^2 e}-\frac{(d+e x)^3 (-a c e+b c d+e)}{48 b c e}+\frac{(d+e x)^3 (b d-a e) \log (-a c-b c x+1)}{12 b e}+\frac{(d+e x)^4 \log (-a c-b c x+1)}{16 e}-\frac{(d+e x)^3 (b d-a e)}{36 b e}-\frac{(d+e x)^4}{64 e}",1,"-((b*d - a*e)^3*x)/(4*b^3) - ((b*d - a*e)^2*(b*c*d + e - a*c*e)*x)/(8*b^3*c) - ((b*d - a*e)*(b*c*d + e - a*c*e)^2*x)/(12*b^3*c^2) - ((b*c*d + e - a*c*e)^3*x)/(16*b^3*c^3) - ((b*d - a*e)^2*(d + e*x)^2)/(16*b^2*e) - ((b*d - a*e)*(b*c*d + e - a*c*e)*(d + e*x)^2)/(24*b^2*c*e) - ((b*c*d + e - a*c*e)^2*(d + e*x)^2)/(32*b^2*c^2*e) - ((b*d - a*e)*(d + e*x)^3)/(36*b*e) - ((b*c*d + e - a*c*e)*(d + e*x)^3)/(48*b*c*e) - (d + e*x)^4/(64*e) - ((b*d - a*e)^2*(b*c*d + e - a*c*e)^2*Log[1 - a*c - b*c*x])/(8*b^4*c^2*e) - ((b*d - a*e)*(b*c*d + e - a*c*e)^3*Log[1 - a*c - b*c*x])/(12*b^4*c^3*e) - ((b*c*d + e - a*c*e)^4*Log[1 - a*c - b*c*x])/(16*b^4*c^4*e) - ((b*d - a*e)^3*(1 - a*c - b*c*x)*Log[1 - a*c - b*c*x])/(4*b^4*c) + ((b*d - a*e)^2*(d + e*x)^2*Log[1 - a*c - b*c*x])/(8*b^2*e) + ((b*d - a*e)*(d + e*x)^3*Log[1 - a*c - b*c*x])/(12*b*e) + ((d + e*x)^4*Log[1 - a*c - b*c*x])/(16*e) - ((b*d - a*e)^4*PolyLog[2, c*(a + b*x)])/(4*b^4*e) + ((d + e*x)^4*PolyLog[2, c*(a + b*x)])/(4*e)","A",16,8,17,0.4706,1,"{6598, 2418, 2389, 2295, 2393, 2391, 2395, 43}"
138,1,385,0,0.3387979,"\int (d+e x)^2 \text{PolyLog}(2,c (a+b x)) \, dx","Int[(d + e*x)^2*PolyLog[2, c*(a + b*x)],x]","-\frac{(b d-a e)^3 \text{PolyLog}(2,c (a+b x))}{3 b^3 e}+\frac{(d+e x)^3 \text{PolyLog}(2,c (a+b x))}{3 e}-\frac{x (-a c e+b c d+e)^2}{9 b^2 c^2}-\frac{(b d-a e) (-a c e+b c d+e)^2 \log (-a c-b c x+1)}{6 b^3 c^2 e}-\frac{(-a c e+b c d+e)^3 \log (-a c-b c x+1)}{9 b^3 c^3 e}-\frac{x (b d-a e) (-a c e+b c d+e)}{6 b^2 c}-\frac{(-a c-b c x+1) (b d-a e)^2 \log (-a c-b c x+1)}{3 b^3 c}-\frac{x (b d-a e)^2}{3 b^2}-\frac{(d+e x)^2 (-a c e+b c d+e)}{18 b c e}+\frac{(d+e x)^2 (b d-a e) \log (-a c-b c x+1)}{6 b e}+\frac{(d+e x)^3 \log (-a c-b c x+1)}{9 e}-\frac{(d+e x)^2 (b d-a e)}{12 b e}-\frac{(d+e x)^3}{27 e}","-\frac{(b d-a e)^3 \text{PolyLog}(2,c (a+b x))}{3 b^3 e}+\frac{(d+e x)^3 \text{PolyLog}(2,c (a+b x))}{3 e}-\frac{x (-a c e+b c d+e)^2}{9 b^2 c^2}-\frac{(b d-a e) (-a c e+b c d+e)^2 \log (-a c-b c x+1)}{6 b^3 c^2 e}-\frac{(-a c e+b c d+e)^3 \log (-a c-b c x+1)}{9 b^3 c^3 e}-\frac{x (b d-a e) (-a c e+b c d+e)}{6 b^2 c}-\frac{(-a c-b c x+1) (b d-a e)^2 \log (-a c-b c x+1)}{3 b^3 c}-\frac{x (b d-a e)^2}{3 b^2}-\frac{(d+e x)^2 (-a c e+b c d+e)}{18 b c e}+\frac{(d+e x)^2 (b d-a e) \log (-a c-b c x+1)}{6 b e}+\frac{(d+e x)^3 \log (-a c-b c x+1)}{9 e}-\frac{(d+e x)^2 (b d-a e)}{12 b e}-\frac{(d+e x)^3}{27 e}",1,"-((b*d - a*e)^2*x)/(3*b^2) - ((b*d - a*e)*(b*c*d + e - a*c*e)*x)/(6*b^2*c) - ((b*c*d + e - a*c*e)^2*x)/(9*b^2*c^2) - ((b*d - a*e)*(d + e*x)^2)/(12*b*e) - ((b*c*d + e - a*c*e)*(d + e*x)^2)/(18*b*c*e) - (d + e*x)^3/(27*e) - ((b*d - a*e)*(b*c*d + e - a*c*e)^2*Log[1 - a*c - b*c*x])/(6*b^3*c^2*e) - ((b*c*d + e - a*c*e)^3*Log[1 - a*c - b*c*x])/(9*b^3*c^3*e) - ((b*d - a*e)^2*(1 - a*c - b*c*x)*Log[1 - a*c - b*c*x])/(3*b^3*c) + ((b*d - a*e)*(d + e*x)^2*Log[1 - a*c - b*c*x])/(6*b*e) + ((d + e*x)^3*Log[1 - a*c - b*c*x])/(9*e) - ((b*d - a*e)^3*PolyLog[2, c*(a + b*x)])/(3*b^3*e) + ((d + e*x)^3*PolyLog[2, c*(a + b*x)])/(3*e)","A",13,8,17,0.4706,1,"{6598, 2418, 2389, 2295, 2393, 2391, 2395, 43}"
139,1,210,0,0.1965079,"\int (d+e x) \text{PolyLog}(2,c (a+b x)) \, dx","Int[(d + e*x)*PolyLog[2, c*(a + b*x)],x]","-\frac{(b d-a e)^2 \text{PolyLog}(2,c (a+b x))}{2 b^2 e}+\frac{(d+e x)^2 \text{PolyLog}(2,c (a+b x))}{2 e}-\frac{(-a c e+b c d+e)^2 \log (-a c-b c x+1)}{4 b^2 c^2 e}-\frac{(-a c-b c x+1) (b d-a e) \log (-a c-b c x+1)}{2 b^2 c}-\frac{x (-a c e+b c d+e)}{4 b c}+\frac{(d+e x)^2 \log (-a c-b c x+1)}{4 e}-\frac{x (b d-a e)}{2 b}-\frac{(d+e x)^2}{8 e}","-\frac{(b d-a e)^2 \text{PolyLog}(2,c (a+b x))}{2 b^2 e}+\frac{(d+e x)^2 \text{PolyLog}(2,c (a+b x))}{2 e}-\frac{(-a c e+b c d+e)^2 \log (-a c-b c x+1)}{4 b^2 c^2 e}-\frac{(-a c-b c x+1) (b d-a e) \log (-a c-b c x+1)}{2 b^2 c}-\frac{x (-a c e+b c d+e)}{4 b c}+\frac{(d+e x)^2 \log (-a c-b c x+1)}{4 e}-\frac{x (b d-a e)}{2 b}-\frac{(d+e x)^2}{8 e}",1,"-((b*d - a*e)*x)/(2*b) - ((b*c*d + e - a*c*e)*x)/(4*b*c) - (d + e*x)^2/(8*e) - ((b*c*d + e - a*c*e)^2*Log[1 - a*c - b*c*x])/(4*b^2*c^2*e) - ((b*d - a*e)*(1 - a*c - b*c*x)*Log[1 - a*c - b*c*x])/(2*b^2*c) + ((d + e*x)^2*Log[1 - a*c - b*c*x])/(4*e) - ((b*d - a*e)^2*PolyLog[2, c*(a + b*x)])/(2*b^2*e) + ((d + e*x)^2*PolyLog[2, c*(a + b*x)])/(2*e)","A",10,8,15,0.5333,1,"{6598, 2418, 2389, 2295, 2393, 2391, 2395, 43}"
140,1,60,0,0.0519429,"\int \text{PolyLog}(2,c (a+b x)) \, dx","Int[PolyLog[2, c*(a + b*x)],x]","x \text{PolyLog}(2,c (a+b x))+\frac{a \text{PolyLog}(2,c (a+b x))}{b}-\frac{(-a c-b c x+1) \log (-a c-b c x+1)}{b c}-x","x \text{PolyLog}(2,c (a+b x))+\frac{a \text{PolyLog}(2,c (a+b x))}{b}-\frac{(-a c-b c x+1) \log (-a c-b c x+1)}{b c}-x",1,"-x - ((1 - a*c - b*c*x)*Log[1 - a*c - b*c*x])/(b*c) + (a*PolyLog[2, c*(a + b*x)])/b + x*PolyLog[2, c*(a + b*x)]","A",7,7,9,0.7778,1,"{6595, 2444, 2389, 2295, 2421, 2393, 2391}"
141,1,591,0,0.5177015,"\int \frac{\text{PolyLog}(2,c (a+b x))}{d+e x} \, dx","Int[PolyLog[2, c*(a + b*x)]/(d + e*x),x]","-\frac{\text{PolyLog}\left(3,-\frac{e (1-c (a+b x))}{b c (d+e x)}\right)}{e}+\frac{\text{PolyLog}\left(3,\frac{(1-c (a+b x)) (b d-a e)}{b (d+e x)}\right)}{e}-\frac{\log \left(\frac{b (d+e x)}{(1-c (a+b x)) (b d-a e)}\right) \text{PolyLog}\left(2,-\frac{e (1-c (a+b x))}{b c (d+e x)}\right)}{e}+\frac{\log \left(\frac{b (d+e x)}{(1-c (a+b x)) (b d-a e)}\right) \text{PolyLog}\left(2,\frac{(1-c (a+b x)) (b d-a e)}{b (d+e x)}\right)}{e}+\frac{\log (d+e x) \text{PolyLog}(2,c (a+b x))}{e}+\frac{\text{PolyLog}\left(2,\frac{b (d+e x)}{b d-a e}\right) \left(\log \left(\frac{b (d+e x)}{(1-c (a+b x)) (b d-a e)}\right)+\log (1-c (a+b x))\right)}{e}+\frac{\text{PolyLog}(2,1-c (a+b x)) \left(\log (d+e x)-\log \left(\frac{b (d+e x)}{(1-c (a+b x)) (b d-a e)}\right)\right)}{e}-\frac{\text{PolyLog}(3,1-c (a+b x))}{e}-\frac{\text{PolyLog}\left(3,\frac{b (d+e x)}{b d-a e}\right)}{e}+\frac{\left(\log \left(\frac{-a c e+b c d+e}{b c (d+e x)}\right)-\log \left(\frac{(a+b x) (-a c e+b c d+e)}{b (d+e x)}\right)+\log (c (a+b x))\right) \log ^2\left(\frac{b (d+e x)}{(1-c (a+b x)) (b d-a e)}\right)}{2 e}-\frac{\left(\log (c (a+b x))-\log \left(-\frac{e (a+b x)}{b d-a e}\right)\right) \left(\log \left(\frac{b (d+e x)}{(1-c (a+b x)) (b d-a e)}\right)+\log (1-c (a+b x))\right)^2}{2 e}+\frac{\log (d+e x) \log (c (a+b x)) \log (1-c (a+b x))}{e}","-\frac{\text{PolyLog}\left(3,-\frac{e (1-c (a+b x))}{b c (d+e x)}\right)}{e}+\frac{\text{PolyLog}\left(3,\frac{(1-c (a+b x)) (b d-a e)}{b (d+e x)}\right)}{e}-\frac{\log \left(\frac{b (d+e x)}{(1-c (a+b x)) (b d-a e)}\right) \text{PolyLog}\left(2,-\frac{e (1-c (a+b x))}{b c (d+e x)}\right)}{e}+\frac{\log \left(\frac{b (d+e x)}{(1-c (a+b x)) (b d-a e)}\right) \text{PolyLog}\left(2,\frac{(1-c (a+b x)) (b d-a e)}{b (d+e x)}\right)}{e}+\frac{\log (d+e x) \text{PolyLog}(2,c (a+b x))}{e}+\frac{\text{PolyLog}\left(2,\frac{b (d+e x)}{b d-a e}\right) \left(\log \left(\frac{b (d+e x)}{(1-c (a+b x)) (b d-a e)}\right)+\log (1-c (a+b x))\right)}{e}+\frac{\text{PolyLog}(2,1-c (a+b x)) \left(\log (d+e x)-\log \left(\frac{b (d+e x)}{(1-c (a+b x)) (b d-a e)}\right)\right)}{e}-\frac{\text{PolyLog}(3,1-c (a+b x))}{e}-\frac{\text{PolyLog}\left(3,\frac{b (d+e x)}{b d-a e}\right)}{e}+\frac{\left(\log \left(\frac{-a c e+b c d+e}{b c (d+e x)}\right)-\log \left(\frac{(a+b x) (-a c e+b c d+e)}{b (d+e x)}\right)+\log (c (a+b x))\right) \log ^2\left(\frac{b (d+e x)}{(1-c (a+b x)) (b d-a e)}\right)}{2 e}-\frac{\left(\log (c (a+b x))-\log \left(-\frac{e (a+b x)}{b d-a e}\right)\right) \left(\log \left(\frac{b (d+e x)}{(1-c (a+b x)) (b d-a e)}\right)+\log (1-c (a+b x))\right)^2}{2 e}+\frac{\log (d+e x) \log (c (a+b x)) \log (1-c (a+b x))}{e}",1,"((Log[c*(a + b*x)] + Log[(b*c*d + e - a*c*e)/(b*c*(d + e*x))] - Log[((b*c*d + e - a*c*e)*(a + b*x))/(b*(d + e*x))])*Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))]^2)/(2*e) + (Log[c*(a + b*x)]*Log[d + e*x]*Log[1 - c*(a + b*x)])/e - ((Log[c*(a + b*x)] - Log[-((e*(a + b*x))/(b*d - a*e))])*(Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))] + Log[1 - c*(a + b*x)])^2)/(2*e) + (Log[d + e*x]*PolyLog[2, c*(a + b*x)])/e + ((Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))] + Log[1 - c*(a + b*x)])*PolyLog[2, (b*(d + e*x))/(b*d - a*e)])/e + ((Log[d + e*x] - Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))])*PolyLog[2, 1 - c*(a + b*x)])/e - (Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))]*PolyLog[2, -((e*(1 - c*(a + b*x)))/(b*c*(d + e*x)))])/e + (Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))]*PolyLog[2, ((b*d - a*e)*(1 - c*(a + b*x)))/(b*(d + e*x))])/e - PolyLog[3, (b*(d + e*x))/(b*d - a*e)]/e - PolyLog[3, 1 - c*(a + b*x)]/e - PolyLog[3, -((e*(1 - c*(a + b*x)))/(b*c*(d + e*x)))]/e + PolyLog[3, ((b*d - a*e)*(1 - c*(a + b*x)))/(b*(d + e*x))]/e","A",3,3,17,0.1765,1,"{6597, 2440, 2435}"
142,1,138,0,0.1839701,"\int \frac{\text{PolyLog}(2,c (a+b x))}{(d+e x)^2} \, dx","Int[PolyLog[2, c*(a + b*x)]/(d + e*x)^2,x]","\frac{b \text{PolyLog}(2,c (a+b x))}{e (b d-a e)}-\frac{\text{PolyLog}(2,c (a+b x))}{e (d+e x)}+\frac{b \text{PolyLog}\left(2,\frac{e (-a c-b c x+1)}{-a c e+b c d+e}\right)}{e (b d-a e)}+\frac{b \log (-a c-b c x+1) \log \left(\frac{b c (d+e x)}{-a c e+b c d+e}\right)}{e (b d-a e)}","\frac{b \text{PolyLog}(2,c (a+b x))}{e (b d-a e)}-\frac{\text{PolyLog}(2,c (a+b x))}{e (d+e x)}+\frac{b \text{PolyLog}\left(2,\frac{e (-a c-b c x+1)}{-a c e+b c d+e}\right)}{e (b d-a e)}+\frac{b \log (-a c-b c x+1) \log \left(\frac{b c (d+e x)}{-a c e+b c d+e}\right)}{e (b d-a e)}",1,"(b*Log[1 - a*c - b*c*x]*Log[(b*c*(d + e*x))/(b*c*d + e - a*c*e)])/(e*(b*d - a*e)) + (b*PolyLog[2, c*(a + b*x)])/(e*(b*d - a*e)) - PolyLog[2, c*(a + b*x)]/(e*(d + e*x)) + (b*PolyLog[2, (e*(1 - a*c - b*c*x))/(b*c*d + e - a*c*e)])/(e*(b*d - a*e))","A",8,5,17,0.2941,1,"{6598, 2418, 2393, 2391, 2394}"
143,1,278,0,0.2700284,"\int \frac{\text{PolyLog}(2,c (a+b x))}{(d+e x)^3} \, dx","Int[PolyLog[2, c*(a + b*x)]/(d + e*x)^3,x]","\frac{b^2 \text{PolyLog}(2,c (a+b x))}{2 e (b d-a e)^2}+\frac{b^2 \text{PolyLog}\left(2,\frac{e (-a c-b c x+1)}{-a c e+b c d+e}\right)}{2 e (b d-a e)^2}-\frac{\text{PolyLog}(2,c (a+b x))}{2 e (d+e x)^2}+\frac{b^2 c \log (-a c-b c x+1)}{2 e (b d-a e) (-a c e+b c d+e)}-\frac{b^2 c \log (d+e x)}{2 e (b d-a e) (-a c e+b c d+e)}+\frac{b^2 \log (-a c-b c x+1) \log \left(\frac{b c (d+e x)}{-a c e+b c d+e}\right)}{2 e (b d-a e)^2}-\frac{b \log (-a c-b c x+1)}{2 e (d+e x) (b d-a e)}","\frac{b^2 \text{PolyLog}(2,c (a+b x))}{2 e (b d-a e)^2}+\frac{b^2 \text{PolyLog}\left(2,\frac{e (-a c-b c x+1)}{-a c e+b c d+e}\right)}{2 e (b d-a e)^2}-\frac{\text{PolyLog}(2,c (a+b x))}{2 e (d+e x)^2}+\frac{b^2 c \log (-a c-b c x+1)}{2 e (b d-a e) (-a c e+b c d+e)}-\frac{b^2 c \log (d+e x)}{2 e (b d-a e) (-a c e+b c d+e)}+\frac{b^2 \log (-a c-b c x+1) \log \left(\frac{b c (d+e x)}{-a c e+b c d+e}\right)}{2 e (b d-a e)^2}-\frac{b \log (-a c-b c x+1)}{2 e (d+e x) (b d-a e)}",1,"(b^2*c*Log[1 - a*c - b*c*x])/(2*e*(b*d - a*e)*(b*c*d + e - a*c*e)) - (b*Log[1 - a*c - b*c*x])/(2*e*(b*d - a*e)*(d + e*x)) - (b^2*c*Log[d + e*x])/(2*e*(b*d - a*e)*(b*c*d + e - a*c*e)) + (b^2*Log[1 - a*c - b*c*x]*Log[(b*c*(d + e*x))/(b*c*d + e - a*c*e)])/(2*e*(b*d - a*e)^2) + (b^2*PolyLog[2, c*(a + b*x)])/(2*e*(b*d - a*e)^2) - PolyLog[2, c*(a + b*x)]/(2*e*(d + e*x)^2) + (b^2*PolyLog[2, (e*(1 - a*c - b*c*x))/(b*c*d + e - a*c*e)])/(2*e*(b*d - a*e)^2)","A",12,8,17,0.4706,1,"{6598, 2418, 2393, 2391, 2395, 36, 31, 2394}"
144,1,448,0,0.4260172,"\int \frac{\text{PolyLog}(2,c (a+b x))}{(d+e x)^4} \, dx","Int[PolyLog[2, c*(a + b*x)]/(d + e*x)^4,x]","\frac{b^3 \text{PolyLog}(2,c (a+b x))}{3 e (b d-a e)^3}+\frac{b^3 \text{PolyLog}\left(2,\frac{e (-a c-b c x+1)}{-a c e+b c d+e}\right)}{3 e (b d-a e)^3}-\frac{\text{PolyLog}(2,c (a+b x))}{3 e (d+e x)^3}+\frac{b^3 c^2 \log (-a c-b c x+1)}{6 e (b d-a e) (-a c e+b c d+e)^2}-\frac{b^3 c^2 \log (d+e x)}{6 e (b d-a e) (-a c e+b c d+e)^2}+\frac{b^2 c}{6 e (d+e x) (b d-a e) (-a c e+b c d+e)}+\frac{b^3 c \log (-a c-b c x+1)}{3 e (b d-a e)^2 (-a c e+b c d+e)}-\frac{b^3 c \log (d+e x)}{3 e (b d-a e)^2 (-a c e+b c d+e)}+\frac{b^3 \log (-a c-b c x+1) \log \left(\frac{b c (d+e x)}{-a c e+b c d+e}\right)}{3 e (b d-a e)^3}-\frac{b^2 \log (-a c-b c x+1)}{3 e (d+e x) (b d-a e)^2}-\frac{b \log (-a c-b c x+1)}{6 e (d+e x)^2 (b d-a e)}","\frac{b^3 \text{PolyLog}(2,c (a+b x))}{3 e (b d-a e)^3}+\frac{b^3 \text{PolyLog}\left(2,\frac{e (-a c-b c x+1)}{-a c e+b c d+e}\right)}{3 e (b d-a e)^3}-\frac{\text{PolyLog}(2,c (a+b x))}{3 e (d+e x)^3}+\frac{b^3 c^2 \log (-a c-b c x+1)}{6 e (b d-a e) (-a c e+b c d+e)^2}-\frac{b^3 c^2 \log (d+e x)}{6 e (b d-a e) (-a c e+b c d+e)^2}+\frac{b^2 c}{6 e (d+e x) (b d-a e) (-a c e+b c d+e)}+\frac{b^3 c \log (-a c-b c x+1)}{3 e (b d-a e)^2 (-a c e+b c d+e)}-\frac{b^3 c \log (d+e x)}{3 e (b d-a e)^2 (-a c e+b c d+e)}+\frac{b^3 \log (-a c-b c x+1) \log \left(\frac{b c (d+e x)}{-a c e+b c d+e}\right)}{3 e (b d-a e)^3}-\frac{b^2 \log (-a c-b c x+1)}{3 e (d+e x) (b d-a e)^2}-\frac{b \log (-a c-b c x+1)}{6 e (d+e x)^2 (b d-a e)}",1,"(b^2*c)/(6*e*(b*d - a*e)*(b*c*d + e - a*c*e)*(d + e*x)) + (b^3*c^2*Log[1 - a*c - b*c*x])/(6*e*(b*d - a*e)*(b*c*d + e - a*c*e)^2) + (b^3*c*Log[1 - a*c - b*c*x])/(3*e*(b*d - a*e)^2*(b*c*d + e - a*c*e)) - (b*Log[1 - a*c - b*c*x])/(6*e*(b*d - a*e)*(d + e*x)^2) - (b^2*Log[1 - a*c - b*c*x])/(3*e*(b*d - a*e)^2*(d + e*x)) - (b^3*c^2*Log[d + e*x])/(6*e*(b*d - a*e)*(b*c*d + e - a*c*e)^2) - (b^3*c*Log[d + e*x])/(3*e*(b*d - a*e)^2*(b*c*d + e - a*c*e)) + (b^3*Log[1 - a*c - b*c*x]*Log[(b*c*(d + e*x))/(b*c*d + e - a*c*e)])/(3*e*(b*d - a*e)^3) + (b^3*PolyLog[2, c*(a + b*x)])/(3*e*(b*d - a*e)^3) - PolyLog[2, c*(a + b*x)]/(3*e*(d + e*x)^3) + (b^3*PolyLog[2, (e*(1 - a*c - b*c*x))/(b*c*d + e - a*c*e)])/(3*e*(b*d - a*e)^3)","A",15,9,17,0.5294,1,"{6598, 2418, 2393, 2391, 2395, 44, 36, 31, 2394}"
145,1,46,0,0.0657938,"\int \frac{\text{PolyLog}(2,x)}{-1+x} \, dx","Int[PolyLog[2, x]/(-1 + x),x]","-2 \text{PolyLog}(3,1-x)+2 \log (1-x) \text{PolyLog}(2,1-x)+\log (1-x) \text{PolyLog}(2,x)+\log (x) \log ^2(1-x)","-2 \text{PolyLog}(3,1-x)+2 \log (1-x) \text{PolyLog}(2,1-x)+\log (1-x) \text{PolyLog}(2,x)+\log (x) \log ^2(1-x)",1,"Log[1 - x]^2*Log[x] + 2*Log[1 - x]*PolyLog[2, 1 - x] + Log[1 - x]*PolyLog[2, x] - 2*PolyLog[3, 1 - x]","A",5,5,9,0.5556,1,"{6596, 2396, 2433, 2374, 6589}"
146,1,46,0,0.0674004,"\int -\frac{\text{PolyLog}(2,x)}{1-x} \, dx","Int[-(PolyLog[2, x]/(1 - x)),x]","-2 \text{PolyLog}(3,1-x)+2 \log (1-x) \text{PolyLog}(2,1-x)+\log (1-x) \text{PolyLog}(2,x)+\log (x) \log ^2(1-x)","-2 \text{PolyLog}(3,1-x)+2 \log (1-x) \text{PolyLog}(2,1-x)+\log (1-x) \text{PolyLog}(2,x)+\log (x) \log ^2(1-x)",1,"Log[1 - x]^2*Log[x] + 2*Log[1 - x]*PolyLog[2, 1 - x] + Log[1 - x]*PolyLog[2, x] - 2*PolyLog[3, 1 - x]","A",5,5,12,0.4167,1,"{6596, 2396, 2433, 2374, 6589}"
147,1,51,0,0.13268,"\int \frac{\text{PolyLog}(2,x)}{(-1+x) x} \, dx","Int[PolyLog[2, x]/((-1 + x)*x),x]","-2 \text{PolyLog}(3,1-x)-\text{PolyLog}(3,x)+2 \log (1-x) \text{PolyLog}(2,1-x)+\log (1-x) \text{PolyLog}(2,x)+\log (x) \log ^2(1-x)","-2 \text{PolyLog}(3,1-x)-\text{PolyLog}(3,x)+2 \log (1-x) \text{PolyLog}(2,1-x)+\log (1-x) \text{PolyLog}(2,x)+\log (x) \log ^2(1-x)",1,"Log[1 - x]^2*Log[x] + 2*Log[1 - x]*PolyLog[2, 1 - x] + Log[1 - x]*PolyLog[2, x] - 2*PolyLog[3, 1 - x] - PolyLog[3, x]","A",8,6,12,0.5000,1,"{6742, 6596, 2396, 2433, 2374, 6589}"
148,1,51,0,0.1344775,"\int -\frac{\text{PolyLog}(2,x)}{(1-x) x} \, dx","Int[-(PolyLog[2, x]/((1 - x)*x)),x]","-2 \text{PolyLog}(3,1-x)-\text{PolyLog}(3,x)+2 \log (1-x) \text{PolyLog}(2,1-x)+\log (1-x) \text{PolyLog}(2,x)+\log (x) \log ^2(1-x)","-2 \text{PolyLog}(3,1-x)-\text{PolyLog}(3,x)+2 \log (1-x) \text{PolyLog}(2,1-x)+\log (1-x) \text{PolyLog}(2,x)+\log (x) \log ^2(1-x)",1,"Log[1 - x]^2*Log[x] + 2*Log[1 - x]*PolyLog[2, 1 - x] + Log[1 - x]*PolyLog[2, x] - 2*PolyLog[3, 1 - x] - PolyLog[3, x]","A",8,6,15,0.4000,1,"{6742, 6596, 2396, 2433, 2374, 6589}"
149,1,35,0,0.071321,"\int \frac{\text{PolyLog}\left(n,e \left(\frac{a+b x}{c+d x}\right)^n\right)}{(a+b x) (c+d x)} \, dx","Int[PolyLog[n, e*((a + b*x)/(c + d*x))^n]/((a + b*x)*(c + d*x)),x]","\frac{\text{PolyLog}\left(n+1,e \left(\frac{a+b x}{c+d x}\right)^n\right)}{n (b c-a d)}","\frac{\text{PolyLog}\left(n+1,e \left(\frac{a+b x}{c+d x}\right)^n\right)}{n (b c-a d)}",1,"PolyLog[1 + n, e*((a + b*x)/(c + d*x))^n]/((b*c - a*d)*n)","A",1,1,34,0.02941,1,"{6610}"
150,1,33,0,0.0611184,"\int \frac{\text{PolyLog}\left(3,e \left(\frac{a+b x}{c+d x}\right)^n\right)}{(a+b x) (c+d x)} \, dx","Int[PolyLog[3, e*((a + b*x)/(c + d*x))^n]/((a + b*x)*(c + d*x)),x]","\frac{\text{PolyLog}\left(4,e \left(\frac{a+b x}{c+d x}\right)^n\right)}{n (b c-a d)}","\frac{\text{PolyLog}\left(4,e \left(\frac{a+b x}{c+d x}\right)^n\right)}{n (b c-a d)}",1,"PolyLog[4, e*((a + b*x)/(c + d*x))^n]/((b*c - a*d)*n)","A",1,1,34,0.02941,1,"{6610}"
151,1,33,0,0.0612712,"\int \frac{\text{PolyLog}\left(2,e \left(\frac{a+b x}{c+d x}\right)^n\right)}{(a+b x) (c+d x)} \, dx","Int[PolyLog[2, e*((a + b*x)/(c + d*x))^n]/((a + b*x)*(c + d*x)),x]","\frac{\text{PolyLog}\left(3,e \left(\frac{a+b x}{c+d x}\right)^n\right)}{n (b c-a d)}","\frac{\text{PolyLog}\left(3,e \left(\frac{a+b x}{c+d x}\right)^n\right)}{n (b c-a d)}",1,"PolyLog[3, e*((a + b*x)/(c + d*x))^n]/((b*c - a*d)*n)","A",1,1,34,0.02941,1,"{6610}"
152,1,33,0,0.0581217,"\int -\frac{\log \left(1-e \left(\frac{a+b x}{c+d x}\right)^n\right)}{(a+b x) (c+d x)} \, dx","Int[-(Log[1 - e*((a + b*x)/(c + d*x))^n]/((a + b*x)*(c + d*x))),x]","\frac{\text{PolyLog}\left(2,e \left(\frac{a+b x}{c+d x}\right)^n\right)}{n (b c-a d)}","\frac{\text{PolyLog}\left(2,e \left(\frac{a+b x}{c+d x}\right)^n\right)}{n (b c-a d)}",1,"PolyLog[2, e*((a + b*x)/(c + d*x))^n]/((b*c - a*d)*n)","A",1,1,37,0.02703,1,"{2518}"
153,1,36,0,0.3167175,"\int \frac{e \left(\frac{a+b x}{c+d x}\right)^n}{(a+b x) (c+d x) \left(1-e \left(\frac{a+b x}{c+d x}\right)^n\right)} \, dx","Int[(e*((a + b*x)/(c + d*x))^n)/((a + b*x)*(c + d*x)*(1 - e*((a + b*x)/(c + d*x))^n)),x]","-\frac{\log \left(1-e \left(\frac{a+b x}{c+d x}\right)^n\right)}{n (b c-a d)}","-\frac{\log \left(1-e \left(\frac{a+b x}{c+d x}\right)^n\right)}{n (b c-a d)}",1,"-(Log[1 - e*((a + b*x)/(c + d*x))^n]/((b*c - a*d)*n))","A",2,2,53,0.03774,1,"{12, 6684}"
154,1,36,0,0.366682,"\int \frac{e \left(\frac{a+b x}{c+d x}\right)^n}{(a+b x) (c+d x) \left(1-e \left(\frac{a+b x}{c+d x}\right)^n\right)^2} \, dx","Int[(e*((a + b*x)/(c + d*x))^n)/((a + b*x)*(c + d*x)*(1 - e*((a + b*x)/(c + d*x))^n)^2),x]","\frac{1}{n (b c-a d) \left(1-e \left(\frac{a+b x}{c+d x}\right)^n\right)}","\frac{1}{n (b c-a d) \left(1-e \left(\frac{a+b x}{c+d x}\right)^n\right)}",1,"1/((b*c - a*d)*n*(1 - e*((a + b*x)/(c + d*x))^n))","A",2,2,53,0.03774,1,"{12, 6686}"
155,1,52,0,2.0245551,"\int \frac{e \left(\frac{a+b x}{c+d x}\right)^n+e^2 \left(\frac{a+b x}{c+d x}\right)^{2 n}}{(a+b x) (c+d x) \left(1-e \left(\frac{a+b x}{c+d x}\right)^n\right)^3} \, dx","Int[(e*((a + b*x)/(c + d*x))^n + e^2*((a + b*x)/(c + d*x))^(2*n))/((a + b*x)*(c + d*x)*(1 - e*((a + b*x)/(c + d*x))^n)^3),x]","\frac{e \left(\frac{a+b x}{c+d x}\right)^n}{n (b c-a d) \left(1-e \left(\frac{a+b x}{c+d x}\right)^n\right)^2}","\frac{e \left(\frac{a+b x}{c+d x}\right)^n}{n (b c-a d) \left(1-e \left(\frac{a+b x}{c+d x}\right)^n\right)^2}",1,"(e*((a + b*x)/(c + d*x))^n)/((b*c - a*d)*n*(1 - e*((a + b*x)/(c + d*x))^n)^2)","A",4,4,76,0.05263,1,"{6741, 12, 6692, 34}"
156,1,135,0,0.0883024,"\int x^3 \text{PolyLog}\left(n,d \left(F^{c (a+b x)}\right)^p\right) \, dx","Int[x^3*PolyLog[n, d*(F^(c*(a + b*x)))^p],x]","-\frac{3 x^2 \text{PolyLog}\left(n+2,d \left(F^{c (a+b x)}\right)^p\right)}{b^2 c^2 p^2 \log ^2(F)}+\frac{6 x \text{PolyLog}\left(n+3,d \left(F^{c (a+b x)}\right)^p\right)}{b^3 c^3 p^3 \log ^3(F)}-\frac{6 \text{PolyLog}\left(n+4,d \left(F^{c (a+b x)}\right)^p\right)}{b^4 c^4 p^4 \log ^4(F)}+\frac{x^3 \text{PolyLog}\left(n+1,d \left(F^{c (a+b x)}\right)^p\right)}{b c p \log (F)}","-\frac{3 x^2 \text{PolyLog}\left(n+2,d \left(F^{c (a+b x)}\right)^p\right)}{b^2 c^2 p^2 \log ^2(F)}+\frac{6 x \text{PolyLog}\left(n+3,d \left(F^{c (a+b x)}\right)^p\right)}{b^3 c^3 p^3 \log ^3(F)}-\frac{6 \text{PolyLog}\left(n+4,d \left(F^{c (a+b x)}\right)^p\right)}{b^4 c^4 p^4 \log ^4(F)}+\frac{x^3 \text{PolyLog}\left(n+1,d \left(F^{c (a+b x)}\right)^p\right)}{b c p \log (F)}",1,"(x^3*PolyLog[1 + n, d*(F^(c*(a + b*x)))^p])/(b*c*p*Log[F]) - (3*x^2*PolyLog[2 + n, d*(F^(c*(a + b*x)))^p])/(b^2*c^2*p^2*Log[F]^2) + (6*x*PolyLog[3 + n, d*(F^(c*(a + b*x)))^p])/(b^3*c^3*p^3*Log[F]^3) - (6*PolyLog[4 + n, d*(F^(c*(a + b*x)))^p])/(b^4*c^4*p^4*Log[F]^4)","A",5,3,19,0.1579,1,"{6609, 2282, 6589}"
157,1,100,0,0.0579408,"\int x^2 \text{PolyLog}\left(n,d \left(F^{c (a+b x)}\right)^p\right) \, dx","Int[x^2*PolyLog[n, d*(F^(c*(a + b*x)))^p],x]","-\frac{2 x \text{PolyLog}\left(n+2,d \left(F^{c (a+b x)}\right)^p\right)}{b^2 c^2 p^2 \log ^2(F)}+\frac{2 \text{PolyLog}\left(n+3,d \left(F^{c (a+b x)}\right)^p\right)}{b^3 c^3 p^3 \log ^3(F)}+\frac{x^2 \text{PolyLog}\left(n+1,d \left(F^{c (a+b x)}\right)^p\right)}{b c p \log (F)}","-\frac{2 x \text{PolyLog}\left(n+2,d \left(F^{c (a+b x)}\right)^p\right)}{b^2 c^2 p^2 \log ^2(F)}+\frac{2 \text{PolyLog}\left(n+3,d \left(F^{c (a+b x)}\right)^p\right)}{b^3 c^3 p^3 \log ^3(F)}+\frac{x^2 \text{PolyLog}\left(n+1,d \left(F^{c (a+b x)}\right)^p\right)}{b c p \log (F)}",1,"(x^2*PolyLog[1 + n, d*(F^(c*(a + b*x)))^p])/(b*c*p*Log[F]) - (2*x*PolyLog[2 + n, d*(F^(c*(a + b*x)))^p])/(b^2*c^2*p^2*Log[F]^2) + (2*PolyLog[3 + n, d*(F^(c*(a + b*x)))^p])/(b^3*c^3*p^3*Log[F]^3)","A",4,3,19,0.1579,1,"{6609, 2282, 6589}"
158,1,65,0,0.0331011,"\int x \text{PolyLog}\left(n,d \left(F^{c (a+b x)}\right)^p\right) \, dx","Int[x*PolyLog[n, d*(F^(c*(a + b*x)))^p],x]","\frac{x \text{PolyLog}\left(n+1,d \left(F^{c (a+b x)}\right)^p\right)}{b c p \log (F)}-\frac{\text{PolyLog}\left(n+2,d \left(F^{c (a+b x)}\right)^p\right)}{b^2 c^2 p^2 \log ^2(F)}","\frac{x \text{PolyLog}\left(n+1,d \left(F^{c (a+b x)}\right)^p\right)}{b c p \log (F)}-\frac{\text{PolyLog}\left(n+2,d \left(F^{c (a+b x)}\right)^p\right)}{b^2 c^2 p^2 \log ^2(F)}",1,"(x*PolyLog[1 + n, d*(F^(c*(a + b*x)))^p])/(b*c*p*Log[F]) - PolyLog[2 + n, d*(F^(c*(a + b*x)))^p]/(b^2*c^2*p^2*Log[F]^2)","A",3,3,17,0.1765,1,"{6609, 2282, 6589}"
159,1,31,0,0.0177012,"\int \text{PolyLog}\left(n,d \left(F^{c (a+b x)}\right)^p\right) \, dx","Int[PolyLog[n, d*(F^(c*(a + b*x)))^p],x]","\frac{\text{PolyLog}\left(n+1,d \left(F^{c (a+b x)}\right)^p\right)}{b c p \log (F)}","\frac{\text{PolyLog}\left(n+1,d \left(F^{c (a+b x)}\right)^p\right)}{b c p \log (F)}",1,"PolyLog[1 + n, d*(F^(c*(a + b*x)))^p]/(b*c*p*Log[F])","A",2,2,15,0.1333,1,"{2282, 6589}"
160,0,0,0,0.0684746,"\int \frac{\text{PolyLog}\left(n,d \left(F^{c (a+b x)}\right)^p\right)}{x} \, dx","Int[PolyLog[n, d*(F^(c*(a + b*x)))^p]/x,x]","\int \frac{\text{PolyLog}\left(n,d \left(F^{c (a+b x)}\right)^p\right)}{x} \, dx","\text{Int}\left(\frac{\text{PolyLog}\left(n,d \left(F^{a c+b c x}\right)^p\right)}{x},x\right)",0,"Defer[Int][PolyLog[n, d*(F^(a*c + b*c*x))^p]/x, x]","A",0,0,0,0,-1,"{}"
161,1,300,0,0.5234588,"\int x^3 \log (1-c x) \text{PolyLog}(2,c x) \, dx","Int[x^3*Log[1 - c*x]*PolyLog[2, c*x],x]","-\frac{x^2 \text{PolyLog}(2,c x)}{8 c^2}-\frac{x \text{PolyLog}(2,c x)}{4 c^3}+\frac{\text{PolyLog}(3,1-c x)}{2 c^4}-\frac{\log (1-c x) \text{PolyLog}(2,c x)}{4 c^4}-\frac{\log (1-c x) \text{PolyLog}(2,1-c x)}{2 c^4}-\frac{1}{16} x^4 \text{PolyLog}(2,c x)-\frac{x^3 \text{PolyLog}(2,c x)}{12 c}+\frac{1}{4} x^4 \log (1-c x) \text{PolyLog}(2,c x)+\frac{139 x^2}{1152 c^2}-\frac{x^2 \log (1-c x)}{8 c^2}+\frac{355 x}{576 c^3}-\frac{\log (c x) \log ^2(1-c x)}{4 c^4}-\frac{\log ^2(1-c x)}{16 c^4}+\frac{3 (1-c x) \log (1-c x)}{8 c^4}+\frac{139 \log (1-c x)}{576 c^4}+\frac{67 x^3}{1728 c}+\frac{1}{16} x^4 \log ^2(1-c x)-\frac{3}{64} x^4 \log (1-c x)-\frac{5 x^3 \log (1-c x)}{72 c}+\frac{3 x^4}{256}","-\frac{x^2 \text{PolyLog}(2,c x)}{8 c^2}-\frac{x \text{PolyLog}(2,c x)}{4 c^3}+\frac{\text{PolyLog}(3,1-c x)}{2 c^4}-\frac{\log (1-c x) \text{PolyLog}(2,c x)}{4 c^4}-\frac{\log (1-c x) \text{PolyLog}(2,1-c x)}{2 c^4}-\frac{1}{16} x^4 \text{PolyLog}(2,c x)-\frac{x^3 \text{PolyLog}(2,c x)}{12 c}+\frac{1}{4} x^4 \log (1-c x) \text{PolyLog}(2,c x)+\frac{139 x^2}{1152 c^2}-\frac{x^2 \log (1-c x)}{8 c^2}+\frac{355 x}{576 c^3}-\frac{\log (c x) \log ^2(1-c x)}{4 c^4}-\frac{\log ^2(1-c x)}{16 c^4}+\frac{3 (1-c x) \log (1-c x)}{8 c^4}+\frac{139 \log (1-c x)}{576 c^4}+\frac{67 x^3}{1728 c}+\frac{1}{16} x^4 \log ^2(1-c x)-\frac{3}{64} x^4 \log (1-c x)-\frac{5 x^3 \log (1-c x)}{72 c}+\frac{3 x^4}{256}",1,"(355*x)/(576*c^3) + (139*x^2)/(1152*c^2) + (67*x^3)/(1728*c) + (3*x^4)/256 + (139*Log[1 - c*x])/(576*c^4) - (x^2*Log[1 - c*x])/(8*c^2) - (5*x^3*Log[1 - c*x])/(72*c) - (3*x^4*Log[1 - c*x])/64 + (3*(1 - c*x)*Log[1 - c*x])/(8*c^4) - Log[1 - c*x]^2/(16*c^4) + (x^4*Log[1 - c*x]^2)/16 - (Log[c*x]*Log[1 - c*x]^2)/(4*c^4) - (x*PolyLog[2, c*x])/(4*c^3) - (x^2*PolyLog[2, c*x])/(8*c^2) - (x^3*PolyLog[2, c*x])/(12*c) - (x^4*PolyLog[2, c*x])/16 - (Log[1 - c*x]*PolyLog[2, c*x])/(4*c^4) + (x^4*Log[1 - c*x]*PolyLog[2, c*x])/4 - (Log[1 - c*x]*PolyLog[2, 1 - c*x])/(2*c^4) + PolyLog[3, 1 - c*x]/(2*c^4)","A",38,16,16,1.000,1,"{6591, 2395, 43, 6603, 2398, 2410, 2389, 2295, 2390, 2301, 6586, 6596, 2396, 2433, 2374, 6589}"
162,1,258,0,0.4048139,"\int x^2 \log (1-c x) \text{PolyLog}(2,c x) \, dx","Int[x^2*Log[1 - c*x]*PolyLog[2, c*x],x]","-\frac{x \text{PolyLog}(2,c x)}{3 c^2}+\frac{2 \text{PolyLog}(3,1-c x)}{3 c^3}-\frac{\log (1-c x) \text{PolyLog}(2,c x)}{3 c^3}-\frac{2 \log (1-c x) \text{PolyLog}(2,1-c x)}{3 c^3}-\frac{1}{9} x^3 \text{PolyLog}(2,c x)-\frac{x^2 \text{PolyLog}(2,c x)}{6 c}+\frac{1}{3} x^3 \log (1-c x) \text{PolyLog}(2,c x)+\frac{31 x}{36 c^2}-\frac{\log (c x) \log ^2(1-c x)}{3 c^3}-\frac{\log ^2(1-c x)}{9 c^3}+\frac{5 (1-c x) \log (1-c x)}{9 c^3}+\frac{11 \log (1-c x)}{36 c^3}+\frac{11 x^2}{72 c}+\frac{1}{9} x^3 \log ^2(1-c x)-\frac{1}{9} x^3 \log (1-c x)-\frac{7 x^2 \log (1-c x)}{36 c}+\frac{x^3}{27}","-\frac{x \text{PolyLog}(2,c x)}{3 c^2}+\frac{2 \text{PolyLog}(3,1-c x)}{3 c^3}-\frac{\log (1-c x) \text{PolyLog}(2,c x)}{3 c^3}-\frac{2 \log (1-c x) \text{PolyLog}(2,1-c x)}{3 c^3}-\frac{1}{9} x^3 \text{PolyLog}(2,c x)-\frac{x^2 \text{PolyLog}(2,c x)}{6 c}+\frac{1}{3} x^3 \log (1-c x) \text{PolyLog}(2,c x)+\frac{31 x}{36 c^2}-\frac{\log (c x) \log ^2(1-c x)}{3 c^3}-\frac{\log ^2(1-c x)}{9 c^3}+\frac{5 (1-c x) \log (1-c x)}{9 c^3}+\frac{11 \log (1-c x)}{36 c^3}+\frac{11 x^2}{72 c}+\frac{1}{9} x^3 \log ^2(1-c x)-\frac{1}{9} x^3 \log (1-c x)-\frac{7 x^2 \log (1-c x)}{36 c}+\frac{x^3}{27}",1,"(31*x)/(36*c^2) + (11*x^2)/(72*c) + x^3/27 + (11*Log[1 - c*x])/(36*c^3) - (7*x^2*Log[1 - c*x])/(36*c) - (x^3*Log[1 - c*x])/9 + (5*(1 - c*x)*Log[1 - c*x])/(9*c^3) - Log[1 - c*x]^2/(9*c^3) + (x^3*Log[1 - c*x]^2)/9 - (Log[c*x]*Log[1 - c*x]^2)/(3*c^3) - (x*PolyLog[2, c*x])/(3*c^2) - (x^2*PolyLog[2, c*x])/(6*c) - (x^3*PolyLog[2, c*x])/9 - (Log[1 - c*x]*PolyLog[2, c*x])/(3*c^3) + (x^3*Log[1 - c*x]*PolyLog[2, c*x])/3 - (2*Log[1 - c*x]*PolyLog[2, 1 - c*x])/(3*c^3) + (2*PolyLog[3, 1 - c*x])/(3*c^3)","A",31,16,16,1.000,1,"{6591, 2395, 43, 6603, 2398, 2410, 2389, 2295, 2390, 2301, 6586, 6596, 2396, 2433, 2374, 6589}"
163,1,262,0,0.254646,"\int x \log (1-c x) \text{PolyLog}(2,c x) \, dx","Int[x*Log[1 - c*x]*PolyLog[2, c*x],x]","\frac{\text{PolyLog}(3,1-c x)}{c^2}-\frac{\log (1-c x) \text{PolyLog}(2,c x)}{2 c^2}-\frac{\log (1-c x) \text{PolyLog}(2,1-c x)}{c^2}-\frac{1}{4} x^2 \text{PolyLog}(2,c x)+\frac{1}{2} x^2 \log (1-c x) \text{PolyLog}(2,c x)-\frac{x \text{PolyLog}(2,c x)}{2 c}+\frac{(1-c x)^2}{8 c^2}+\frac{(1-c x)^2 \log ^2(1-c x)}{4 c^2}-\frac{(1-c x) \log ^2(1-c x)}{2 c^2}-\frac{\log (c x) \log ^2(1-c x)}{2 c^2}-\frac{(1-c x)^2 \log (1-c x)}{4 c^2}+\frac{3 (1-c x) \log (1-c x)}{2 c^2}+\frac{\log (1-c x)}{8 c^2}-\frac{1}{8} x^2 \log (1-c x)+\frac{13 x}{8 c}+\frac{x^2}{16}","\frac{\text{PolyLog}(3,1-c x)}{c^2}-\frac{\log (1-c x) \text{PolyLog}(2,c x)}{2 c^2}-\frac{\log (1-c x) \text{PolyLog}(2,1-c x)}{c^2}-\frac{1}{4} x^2 \text{PolyLog}(2,c x)+\frac{1}{2} x^2 \log (1-c x) \text{PolyLog}(2,c x)-\frac{x \text{PolyLog}(2,c x)}{2 c}+\frac{(1-c x)^2}{8 c^2}+\frac{(1-c x)^2 \log ^2(1-c x)}{4 c^2}-\frac{(1-c x) \log ^2(1-c x)}{2 c^2}-\frac{\log (c x) \log ^2(1-c x)}{2 c^2}-\frac{(1-c x)^2 \log (1-c x)}{4 c^2}+\frac{3 (1-c x) \log (1-c x)}{2 c^2}+\frac{\log (1-c x)}{8 c^2}-\frac{1}{8} x^2 \log (1-c x)+\frac{13 x}{8 c}+\frac{x^2}{16}",1,"(13*x)/(8*c) + x^2/16 + (1 - c*x)^2/(8*c^2) + Log[1 - c*x]/(8*c^2) - (x^2*Log[1 - c*x])/8 + (3*(1 - c*x)*Log[1 - c*x])/(2*c^2) - ((1 - c*x)^2*Log[1 - c*x])/(4*c^2) - ((1 - c*x)*Log[1 - c*x]^2)/(2*c^2) + ((1 - c*x)^2*Log[1 - c*x]^2)/(4*c^2) - (Log[c*x]*Log[1 - c*x]^2)/(2*c^2) - (x*PolyLog[2, c*x])/(2*c) - (x^2*PolyLog[2, c*x])/4 - (Log[1 - c*x]*PolyLog[2, c*x])/(2*c^2) + (x^2*Log[1 - c*x]*PolyLog[2, c*x])/2 - (Log[1 - c*x]*PolyLog[2, 1 - c*x])/c^2 + PolyLog[3, 1 - c*x]/c^2","A",22,17,14,1.214,1,"{6591, 2395, 43, 6603, 2401, 2389, 2296, 2295, 2390, 2305, 2304, 6586, 6596, 2396, 2433, 2374, 6589}"
164,1,132,0,0.2119159,"\int \log (1-c x) \text{PolyLog}(2,c x) \, dx","Int[Log[1 - c*x]*PolyLog[2, c*x],x]","-x \text{PolyLog}(2,c x)+\frac{2 \text{PolyLog}(3,1-c x)}{c}+x \log (1-c x) \text{PolyLog}(2,c x)-\frac{\log (1-c x) \text{PolyLog}(2,c x)}{c}-\frac{2 \log (1-c x) \text{PolyLog}(2,1-c x)}{c}-\frac{(1-c x) \log ^2(1-c x)}{c}-\frac{\log (c x) \log ^2(1-c x)}{c}+\frac{3 (1-c x) \log (1-c x)}{c}+3 x","-x \text{PolyLog}(2,c x)+\frac{2 \text{PolyLog}(3,1-c x)}{c}+x \log (1-c x) \text{PolyLog}(2,c x)-\frac{\log (1-c x) \text{PolyLog}(2,c x)}{c}-\frac{2 \log (1-c x) \text{PolyLog}(2,1-c x)}{c}-\frac{(1-c x) \log ^2(1-c x)}{c}-\frac{\log (c x) \log ^2(1-c x)}{c}+\frac{3 (1-c x) \log (1-c x)}{c}+3 x",1,"3*x + (3*(1 - c*x)*Log[1 - c*x])/c - ((1 - c*x)*Log[1 - c*x]^2)/c - (Log[c*x]*Log[1 - c*x]^2)/c - x*PolyLog[2, c*x] - (Log[1 - c*x]*PolyLog[2, c*x])/c + x*Log[1 - c*x]*PolyLog[2, c*x] - (2*Log[1 - c*x]*PolyLog[2, 1 - c*x])/c + (2*PolyLog[3, 1 - c*x])/c","A",15,12,13,0.9231,1,"{6586, 2389, 2295, 6600, 2296, 6688, 6742, 6596, 2396, 2433, 2374, 6589}"
165,1,11,0,0.0257549,"\int \frac{\log (1-c x) \text{PolyLog}(2,c x)}{x} \, dx","Int[(Log[1 - c*x]*PolyLog[2, c*x])/x,x]","-\frac{1}{2} \text{PolyLog}(2,c x)^2","-\frac{1}{2} \text{PolyLog}(2,c x)^2",1,"-PolyLog[2, c*x]^2/2","A",1,2,16,0.1250,1,"{6589, 6601}"
166,1,111,0,0.1638605,"\int \frac{\log (1-c x) \text{PolyLog}(2,c x)}{x^2} \, dx","Int[(Log[1 - c*x]*PolyLog[2, c*x])/x^2,x]","-2 c \text{PolyLog}(2,c x)-c \text{PolyLog}(3,c x)-2 c \text{PolyLog}(3,1-c x)+c \log (1-c x) \text{PolyLog}(2,c x)-\frac{\log (1-c x) \text{PolyLog}(2,c x)}{x}+2 c \log (1-c x) \text{PolyLog}(2,1-c x)+\frac{(1-c x) \log ^2(1-c x)}{x}+c \log (c x) \log ^2(1-c x)","-2 c \text{PolyLog}(2,c x)-c \text{PolyLog}(3,c x)-2 c \text{PolyLog}(3,1-c x)+c \log (1-c x) \text{PolyLog}(2,c x)-\frac{\log (1-c x) \text{PolyLog}(2,c x)}{x}+2 c \log (1-c x) \text{PolyLog}(2,1-c x)+\frac{(1-c x) \log ^2(1-c x)}{x}+c \log (c x) \log ^2(1-c x)",1,"((1 - c*x)*Log[1 - c*x]^2)/x + c*Log[c*x]*Log[1 - c*x]^2 - 2*c*PolyLog[2, c*x] + c*Log[1 - c*x]*PolyLog[2, c*x] - (Log[1 - c*x]*PolyLog[2, c*x])/x + 2*c*Log[1 - c*x]*PolyLog[2, 1 - c*x] - c*PolyLog[3, c*x] - 2*c*PolyLog[3, 1 - c*x]","A",10,13,16,0.8125,1,"{6591, 2395, 36, 29, 31, 6603, 2397, 2391, 6589, 6596, 2396, 2433, 2374}"
167,1,191,0,0.2816127,"\int \frac{\log (1-c x) \text{PolyLog}(2,c x)}{x^3} \, dx","Int[(Log[1 - c*x]*PolyLog[2, c*x])/x^3,x]","-\frac{1}{2} c^2 \text{PolyLog}(2,c x)-\frac{1}{2} c^2 \text{PolyLog}(3,c x)-c^2 \text{PolyLog}(3,1-c x)+\frac{1}{2} c^2 \log (1-c x) \text{PolyLog}(2,c x)+c^2 \log (1-c x) \text{PolyLog}(2,1-c x)-\frac{\log (1-c x) \text{PolyLog}(2,c x)}{2 x^2}+\frac{c \text{PolyLog}(2,c x)}{2 x}+\frac{1}{2} c^2 \log (c x) \log ^2(1-c x)-\frac{1}{4} c^2 \log ^2(1-c x)-c^2 \log (x)+c^2 \log (1-c x)+\frac{\log ^2(1-c x)}{4 x^2}-\frac{c \log (1-c x)}{x}","-\frac{1}{2} c^2 \text{PolyLog}(2,c x)-\frac{1}{2} c^2 \text{PolyLog}(3,c x)-c^2 \text{PolyLog}(3,1-c x)+\frac{1}{2} c^2 \log (1-c x) \text{PolyLog}(2,c x)+c^2 \log (1-c x) \text{PolyLog}(2,1-c x)-\frac{\log (1-c x) \text{PolyLog}(2,c x)}{2 x^2}+\frac{c \text{PolyLog}(2,c x)}{2 x}+\frac{1}{2} c^2 \log (c x) \log ^2(1-c x)-\frac{1}{4} c^2 \log ^2(1-c x)-c^2 \log (x)+c^2 \log (1-c x)+\frac{\log ^2(1-c x)}{4 x^2}-\frac{c \log (1-c x)}{x}",1,"-(c^2*Log[x]) + c^2*Log[1 - c*x] - (c*Log[1 - c*x])/x - (c^2*Log[1 - c*x]^2)/4 + Log[1 - c*x]^2/(4*x^2) + (c^2*Log[c*x]*Log[1 - c*x]^2)/2 - (c^2*PolyLog[2, c*x])/2 + (c*PolyLog[2, c*x])/(2*x) + (c^2*Log[1 - c*x]*PolyLog[2, c*x])/2 - (Log[1 - c*x]*PolyLog[2, c*x])/(2*x^2) + c^2*Log[1 - c*x]*PolyLog[2, 1 - c*x] - (c^2*PolyLog[3, c*x])/2 - c^2*PolyLog[3, 1 - c*x]","A",23,17,16,1.062,1,"{6591, 2395, 44, 6603, 2398, 2410, 36, 29, 31, 2391, 2390, 2301, 6589, 6596, 2396, 2433, 2374}"
168,1,245,0,0.3548175,"\int \frac{\log (1-c x) \text{PolyLog}(2,c x)}{x^4} \, dx","Int[(Log[1 - c*x]*PolyLog[2, c*x])/x^4,x]","-\frac{2}{9} c^3 \text{PolyLog}(2,c x)-\frac{1}{3} c^3 \text{PolyLog}(3,c x)-\frac{2}{3} c^3 \text{PolyLog}(3,1-c x)+\frac{c^2 \text{PolyLog}(2,c x)}{3 x}+\frac{1}{3} c^3 \log (1-c x) \text{PolyLog}(2,c x)+\frac{2}{3} c^3 \log (1-c x) \text{PolyLog}(2,1-c x)+\frac{c \text{PolyLog}(2,c x)}{6 x^2}-\frac{\log (1-c x) \text{PolyLog}(2,c x)}{3 x^3}+\frac{7 c^2}{36 x}+\frac{1}{3} c^3 \log (c x) \log ^2(1-c x)-\frac{1}{9} c^3 \log ^2(1-c x)-\frac{3}{4} c^3 \log (x)+\frac{3}{4} c^3 \log (1-c x)-\frac{5 c^2 \log (1-c x)}{9 x}+\frac{\log ^2(1-c x)}{9 x^3}-\frac{7 c \log (1-c x)}{36 x^2}","-\frac{2}{9} c^3 \text{PolyLog}(2,c x)-\frac{1}{3} c^3 \text{PolyLog}(3,c x)-\frac{2}{3} c^3 \text{PolyLog}(3,1-c x)+\frac{c^2 \text{PolyLog}(2,c x)}{3 x}+\frac{1}{3} c^3 \log (1-c x) \text{PolyLog}(2,c x)+\frac{2}{3} c^3 \log (1-c x) \text{PolyLog}(2,1-c x)+\frac{c \text{PolyLog}(2,c x)}{6 x^2}-\frac{\log (1-c x) \text{PolyLog}(2,c x)}{3 x^3}+\frac{7 c^2}{36 x}+\frac{1}{3} c^3 \log (c x) \log ^2(1-c x)-\frac{1}{9} c^3 \log ^2(1-c x)-\frac{3}{4} c^3 \log (x)+\frac{3}{4} c^3 \log (1-c x)-\frac{5 c^2 \log (1-c x)}{9 x}+\frac{\log ^2(1-c x)}{9 x^3}-\frac{7 c \log (1-c x)}{36 x^2}",1,"(7*c^2)/(36*x) - (3*c^3*Log[x])/4 + (3*c^3*Log[1 - c*x])/4 - (7*c*Log[1 - c*x])/(36*x^2) - (5*c^2*Log[1 - c*x])/(9*x) - (c^3*Log[1 - c*x]^2)/9 + Log[1 - c*x]^2/(9*x^3) + (c^3*Log[c*x]*Log[1 - c*x]^2)/3 - (2*c^3*PolyLog[2, c*x])/9 + (c*PolyLog[2, c*x])/(6*x^2) + (c^2*PolyLog[2, c*x])/(3*x) + (c^3*Log[1 - c*x]*PolyLog[2, c*x])/3 - (Log[1 - c*x]*PolyLog[2, c*x])/(3*x^3) + (2*c^3*Log[1 - c*x]*PolyLog[2, 1 - c*x])/3 - (c^3*PolyLog[3, c*x])/3 - (2*c^3*PolyLog[3, 1 - c*x])/3","A",30,17,16,1.062,1,"{6591, 2395, 44, 6603, 2398, 2410, 36, 29, 31, 2391, 2390, 2301, 6589, 6596, 2396, 2433, 2374}"
169,1,287,0,0.4491907,"\int \frac{\log (1-c x) \text{PolyLog}(2,c x)}{x^5} \, dx","Int[(Log[1 - c*x]*PolyLog[2, c*x])/x^5,x]","\frac{c^2 \text{PolyLog}(2,c x)}{8 x^2}-\frac{1}{8} c^4 \text{PolyLog}(2,c x)-\frac{1}{4} c^4 \text{PolyLog}(3,c x)-\frac{1}{2} c^4 \text{PolyLog}(3,1-c x)+\frac{c^3 \text{PolyLog}(2,c x)}{4 x}+\frac{1}{4} c^4 \log (1-c x) \text{PolyLog}(2,c x)+\frac{1}{2} c^4 \log (1-c x) \text{PolyLog}(2,1-c x)+\frac{c \text{PolyLog}(2,c x)}{12 x^3}-\frac{\log (1-c x) \text{PolyLog}(2,c x)}{4 x^4}+\frac{5 c^2}{144 x^2}-\frac{c^2 \log (1-c x)}{8 x^2}+\frac{7 c^3}{36 x}+\frac{1}{4} c^4 \log (c x) \log ^2(1-c x)-\frac{1}{16} c^4 \log ^2(1-c x)-\frac{41}{72} c^4 \log (x)+\frac{41}{72} c^4 \log (1-c x)-\frac{3 c^3 \log (1-c x)}{8 x}+\frac{\log ^2(1-c x)}{16 x^4}-\frac{5 c \log (1-c x)}{72 x^3}","\frac{c^2 \text{PolyLog}(2,c x)}{8 x^2}-\frac{1}{8} c^4 \text{PolyLog}(2,c x)-\frac{1}{4} c^4 \text{PolyLog}(3,c x)-\frac{1}{2} c^4 \text{PolyLog}(3,1-c x)+\frac{c^3 \text{PolyLog}(2,c x)}{4 x}+\frac{1}{4} c^4 \log (1-c x) \text{PolyLog}(2,c x)+\frac{1}{2} c^4 \log (1-c x) \text{PolyLog}(2,1-c x)+\frac{c \text{PolyLog}(2,c x)}{12 x^3}-\frac{\log (1-c x) \text{PolyLog}(2,c x)}{4 x^4}+\frac{5 c^2}{144 x^2}-\frac{c^2 \log (1-c x)}{8 x^2}+\frac{7 c^3}{36 x}+\frac{1}{4} c^4 \log (c x) \log ^2(1-c x)-\frac{1}{16} c^4 \log ^2(1-c x)-\frac{41}{72} c^4 \log (x)+\frac{41}{72} c^4 \log (1-c x)-\frac{3 c^3 \log (1-c x)}{8 x}+\frac{\log ^2(1-c x)}{16 x^4}-\frac{5 c \log (1-c x)}{72 x^3}",1,"(5*c^2)/(144*x^2) + (7*c^3)/(36*x) - (41*c^4*Log[x])/72 + (41*c^4*Log[1 - c*x])/72 - (5*c*Log[1 - c*x])/(72*x^3) - (c^2*Log[1 - c*x])/(8*x^2) - (3*c^3*Log[1 - c*x])/(8*x) - (c^4*Log[1 - c*x]^2)/16 + Log[1 - c*x]^2/(16*x^4) + (c^4*Log[c*x]*Log[1 - c*x]^2)/4 - (c^4*PolyLog[2, c*x])/8 + (c*PolyLog[2, c*x])/(12*x^3) + (c^2*PolyLog[2, c*x])/(8*x^2) + (c^3*PolyLog[2, c*x])/(4*x) + (c^4*Log[1 - c*x]*PolyLog[2, c*x])/4 - (Log[1 - c*x]*PolyLog[2, c*x])/(4*x^4) + (c^4*Log[1 - c*x]*PolyLog[2, 1 - c*x])/2 - (c^4*PolyLog[3, c*x])/4 - (c^4*PolyLog[3, 1 - c*x])/2","A",37,17,16,1.062,1,"{6591, 2395, 44, 6603, 2398, 2410, 36, 29, 31, 2391, 2390, 2301, 6589, 6596, 2396, 2433, 2374}"
170,1,366,0,0.611175,"\int x^2 (g+h \log (1-c x)) \text{PolyLog}(2,c x) \, dx","Int[x^2*(g + h*Log[1 - c*x])*PolyLog[2, c*x],x]","-\frac{h x \text{PolyLog}(2,c x)}{3 c^2}+\frac{2 h \text{PolyLog}(3,1-c x)}{3 c^3}-\frac{h \log (1-c x) \text{PolyLog}(2,c x)}{3 c^3}-\frac{2 h \log (1-c x) \text{PolyLog}(2,1-c x)}{3 c^3}+\frac{1}{3} x^3 \text{PolyLog}(2,c x) (h \log (1-c x)+g)-\frac{1}{9} h x^3 \text{PolyLog}(2,c x)-\frac{h x^2 \text{PolyLog}(2,c x)}{6 c}+\frac{1}{54} \left(\frac{2 (1-c x)^3}{c^3}-\frac{9 (1-c x)^2}{c^3}+\frac{18 (1-c x)}{c^3}-\frac{6 \log (1-c x)}{c^3}\right) (h \log (1-c x)+g)+\frac{107 h x}{108 c^2}-\frac{h (1-c x)^3}{81 c^3}+\frac{h (1-c x)^2}{12 c^3}-\frac{h \log (c x) \log ^2(1-c x)}{3 c^3}+\frac{23 h \log (1-c x)}{108 c^3}+\frac{4 h (1-c x) \log (1-c x)}{9 c^3}+\frac{1}{9} x^3 \log (1-c x) (h \log (1-c x)+g)+\frac{23 h x^2}{216 c}-\frac{2}{27} h x^3 \log (1-c x)-\frac{5 h x^2 \log (1-c x)}{36 c}+\frac{2 h x^3}{81}","-\frac{h x \text{PolyLog}(2,c x)}{3 c^2}+\frac{2 h \text{PolyLog}(3,1-c x)}{3 c^3}-\frac{h \log (1-c x) \text{PolyLog}(2,c x)}{3 c^3}-\frac{2 h \log (1-c x) \text{PolyLog}(2,1-c x)}{3 c^3}+\frac{1}{3} x^3 \text{PolyLog}(2,c x) (h \log (1-c x)+g)-\frac{1}{9} h x^3 \text{PolyLog}(2,c x)-\frac{h x^2 \text{PolyLog}(2,c x)}{6 c}+\frac{(1-c x)^3 (2 h \log (1-c x)+g)}{27 c^3}-\frac{(1-c x)^2 (2 h \log (1-c x)+g)}{6 c^3}+\frac{(1-c x) (2 h \log (1-c x)+g)}{3 c^3}-\frac{\log (1-c x) (2 h \log (1-c x)+g)}{9 c^3}+\frac{121 h x}{108 c^2}-\frac{2 h (1-c x)^3}{81 c^3}+\frac{h (1-c x)^2}{6 c^3}+\frac{h \log ^2(1-c x)}{9 c^3}-\frac{h \log (c x) \log ^2(1-c x)}{3 c^3}+\frac{13 h \log (1-c x)}{108 c^3}+\frac{h (1-c x) \log (1-c x)}{3 c^3}+\frac{1}{9} x^3 \log (1-c x) (h \log (1-c x)+g)+\frac{13 h x^2}{216 c}-\frac{1}{27} h x^3 \log (1-c x)-\frac{h x^2 \log (1-c x)}{12 c}+\frac{h x^3}{81}",1,"(107*h*x)/(108*c^2) + (23*h*x^2)/(216*c) + (2*h*x^3)/81 + (h*(1 - c*x)^2)/(12*c^3) - (h*(1 - c*x)^3)/(81*c^3) + (23*h*Log[1 - c*x])/(108*c^3) - (5*h*x^2*Log[1 - c*x])/(36*c) - (2*h*x^3*Log[1 - c*x])/27 + (4*h*(1 - c*x)*Log[1 - c*x])/(9*c^3) - (h*Log[c*x]*Log[1 - c*x]^2)/(3*c^3) + (x^3*Log[1 - c*x]*(g + h*Log[1 - c*x]))/9 + (((18*(1 - c*x))/c^3 - (9*(1 - c*x)^2)/c^3 + (2*(1 - c*x)^3)/c^3 - (6*Log[1 - c*x])/c^3)*(g + h*Log[1 - c*x]))/54 - (h*x*PolyLog[2, c*x])/(3*c^2) - (h*x^2*PolyLog[2, c*x])/(6*c) - (h*x^3*PolyLog[2, c*x])/9 - (h*Log[1 - c*x]*PolyLog[2, c*x])/(3*c^3) + (x^3*(g + h*Log[1 - c*x])*PolyLog[2, c*x])/3 - (2*h*Log[1 - c*x]*PolyLog[2, 1 - c*x])/(3*c^3) + (2*h*PolyLog[3, 1 - c*x])/(3*c^3)","A",37,20,20,1.000,1,"{6603, 2439, 2410, 2389, 2295, 2395, 43, 2390, 2301, 2411, 2334, 12, 14, 6586, 6591, 6596, 2396, 2433, 2374, 6589}"
171,1,287,0,0.4485897,"\int x (g+h \log (1-c x)) \text{PolyLog}(2,c x) \, dx","Int[x*(g + h*Log[1 - c*x])*PolyLog[2, c*x],x]","\frac{h \text{PolyLog}(3,1-c x)}{c^2}-\frac{h \log (1-c x) \text{PolyLog}(2,c x)}{2 c^2}-\frac{h \log (1-c x) \text{PolyLog}(2,1-c x)}{c^2}+\frac{1}{2} x^2 \text{PolyLog}(2,c x) (h \log (1-c x)+g)-\frac{1}{4} h x^2 \text{PolyLog}(2,c x)-\frac{h x \text{PolyLog}(2,c x)}{2 c}+\frac{1}{8} \left(-\frac{(1-c x)^2}{c^2}+\frac{4 (1-c x)}{c^2}-\frac{2 \log (1-c x)}{c^2}\right) (h \log (1-c x)+g)+\frac{h (1-c x)^2}{16 c^2}-\frac{h \log (c x) \log ^2(1-c x)}{2 c^2}+\frac{h \log (1-c x)}{4 c^2}+\frac{3 h (1-c x) \log (1-c x)}{4 c^2}+\frac{1}{4} x^2 \log (1-c x) (h \log (1-c x)+g)-\frac{1}{4} h x^2 \log (1-c x)+\frac{3 h x}{2 c}+\frac{h x^2}{8}","\frac{h \text{PolyLog}(3,1-c x)}{c^2}-\frac{h \log (1-c x) \text{PolyLog}(2,c x)}{2 c^2}-\frac{h \log (1-c x) \text{PolyLog}(2,1-c x)}{c^2}+\frac{1}{2} x^2 \text{PolyLog}(2,c x) (h \log (1-c x)+g)-\frac{1}{4} h x^2 \text{PolyLog}(2,c x)-\frac{h x \text{PolyLog}(2,c x)}{2 c}-\frac{(1-c x)^2 (2 h \log (1-c x)+g)}{8 c^2}+\frac{(1-c x) (2 h \log (1-c x)+g)}{2 c^2}-\frac{\log (1-c x) (2 h \log (1-c x)+g)}{4 c^2}+\frac{h (1-c x)^2}{8 c^2}+\frac{h \log ^2(1-c x)}{4 c^2}-\frac{h \log (c x) \log ^2(1-c x)}{2 c^2}+\frac{h \log (1-c x)}{8 c^2}+\frac{h (1-c x) \log (1-c x)}{2 c^2}+\frac{1}{4} x^2 \log (1-c x) (h \log (1-c x)+g)-\frac{1}{8} h x^2 \log (1-c x)+\frac{13 h x}{8 c}+\frac{h x^2}{16}",1,"(3*h*x)/(2*c) + (h*x^2)/8 + (h*(1 - c*x)^2)/(16*c^2) + (h*Log[1 - c*x])/(4*c^2) - (h*x^2*Log[1 - c*x])/4 + (3*h*(1 - c*x)*Log[1 - c*x])/(4*c^2) - (h*Log[c*x]*Log[1 - c*x]^2)/(2*c^2) + (x^2*Log[1 - c*x]*(g + h*Log[1 - c*x]))/4 + (((4*(1 - c*x))/c^2 - (1 - c*x)^2/c^2 - (2*Log[1 - c*x])/c^2)*(g + h*Log[1 - c*x]))/8 - (h*x*PolyLog[2, c*x])/(2*c) - (h*x^2*PolyLog[2, c*x])/4 - (h*Log[1 - c*x]*PolyLog[2, c*x])/(2*c^2) + (x^2*(g + h*Log[1 - c*x])*PolyLog[2, c*x])/2 - (h*Log[1 - c*x]*PolyLog[2, 1 - c*x])/c^2 + (h*PolyLog[3, 1 - c*x])/c^2","A",30,20,18,1.111,1,"{6603, 2439, 2410, 2389, 2295, 2395, 43, 2390, 2301, 2411, 2334, 12, 14, 6586, 6591, 6596, 2396, 2433, 2374, 6589}"
172,1,167,0,0.2109573,"\int (g+h \log (1-c x)) \text{PolyLog}(2,c x) \, dx","Int[(g + h*Log[1 - c*x])*PolyLog[2, c*x],x]","x \text{PolyLog}(2,c x) (h \log (1-c x)+g)-h x \text{PolyLog}(2,c x)+\frac{2 h \text{PolyLog}(3,1-c x)}{c}-\frac{h \log (1-c x) \text{PolyLog}(2,c x)}{c}-\frac{2 h \log (1-c x) \text{PolyLog}(2,1-c x)}{c}-\frac{g (1-c x) \log (1-c x)}{c}-\frac{h (1-c x) \log ^2(1-c x)}{c}-\frac{h \log (c x) \log ^2(1-c x)}{c}+\frac{3 h (1-c x) \log (1-c x)}{c}-g x+3 h x","x \text{PolyLog}(2,c x) (h \log (1-c x)+g)-h x \text{PolyLog}(2,c x)+\frac{2 h \text{PolyLog}(3,1-c x)}{c}-\frac{h \log (1-c x) \text{PolyLog}(2,c x)}{c}-\frac{2 h \log (1-c x) \text{PolyLog}(2,1-c x)}{c}-\frac{g (1-c x) \log (1-c x)}{c}-\frac{h (1-c x) \log ^2(1-c x)}{c}-\frac{h \log (c x) \log ^2(1-c x)}{c}+\frac{3 h (1-c x) \log (1-c x)}{c}-g x+3 h x",1,"-(g*x) + 3*h*x - (g*(1 - c*x)*Log[1 - c*x])/c + (3*h*(1 - c*x)*Log[1 - c*x])/c - (h*(1 - c*x)*Log[1 - c*x]^2)/c - (h*Log[c*x]*Log[1 - c*x]^2)/c - h*x*PolyLog[2, c*x] - (h*Log[1 - c*x]*PolyLog[2, c*x])/c + x*(g + h*Log[1 - c*x])*PolyLog[2, c*x] - (2*h*Log[1 - c*x]*PolyLog[2, 1 - c*x])/c + (2*h*PolyLog[3, 1 - c*x])/c","A",18,14,17,0.8235,1,"{6600, 2364, 2360, 2295, 2296, 6688, 6742, 6586, 2389, 6596, 2396, 2433, 2374, 6589}"
173,1,20,0,0.0575455,"\int \frac{(g+h \log (1-c x)) \text{PolyLog}(2,c x)}{x} \, dx","Int[((g + h*Log[1 - c*x])*PolyLog[2, c*x])/x,x]","g \text{PolyLog}(3,c x)-\frac{1}{2} h \text{PolyLog}(2,c x)^2","g \text{PolyLog}(3,c x)-\frac{1}{2} h \text{PolyLog}(2,c x)^2",1,"-(h*PolyLog[2, c*x]^2)/2 + g*PolyLog[3, c*x]","A",3,3,20,0.1500,1,"{6602, 6589, 6601}"
174,1,165,0,0.3551615,"\int \frac{(g+h \log (1-c x)) \text{PolyLog}(2,c x)}{x^2} \, dx","Int[((g + h*Log[1 - c*x])*PolyLog[2, c*x])/x^2,x]","-\frac{\text{PolyLog}(2,c x) (h \log (1-c x)+g)}{x}-2 c h \text{PolyLog}(2,c x)-c h \text{PolyLog}(3,c x)-2 c h \text{PolyLog}(3,1-c x)+c h \log (1-c x) \text{PolyLog}(2,c x)+2 c h \log (1-c x) \text{PolyLog}(2,1-c x)+\frac{\log (1-c x) (h \log (1-c x)+g)}{x}-\frac{c (h \log (1-c x)+g)^2}{2 h}+c g \log (x)-\frac{1}{2} c h \log ^2(1-c x)+c h \log (c x) \log ^2(1-c x)","-\frac{\text{PolyLog}(2,c x) (h \log (1-c x)+g)}{x}-2 c h \text{PolyLog}\left(2,\frac{1}{1-c x}\right)-c h \text{PolyLog}(3,c x)-2 c h \text{PolyLog}(3,1-c x)+c h \log (1-c x) \text{PolyLog}(2,c x)+2 c h \log (1-c x) \text{PolyLog}(2,1-c x)+\frac{\log (1-c x) (h \log (1-c x)+g)}{x}+c \log \left(1-\frac{1}{1-c x}\right) (2 h \log (1-c x)+g)+c h \log (c x) \log ^2(1-c x)",1,"c*g*Log[x] - (c*h*Log[1 - c*x]^2)/2 + c*h*Log[c*x]*Log[1 - c*x]^2 + (Log[1 - c*x]*(g + h*Log[1 - c*x]))/x - (c*(g + h*Log[1 - c*x])^2)/(2*h) - 2*c*h*PolyLog[2, c*x] + c*h*Log[1 - c*x]*PolyLog[2, c*x] - ((g + h*Log[1 - c*x])*PolyLog[2, c*x])/x + 2*c*h*Log[1 - c*x]*PolyLog[2, 1 - c*x] - c*h*PolyLog[3, c*x] - 2*c*h*PolyLog[3, 1 - c*x]","A",19,15,20,0.7500,1,"{6603, 2439, 2410, 2391, 2390, 2301, 2411, 2344, 2316, 2315, 6589, 6596, 2396, 2433, 2374}"
175,1,278,0,0.4962842,"\int \frac{(g+h \log (1-c x)) \text{PolyLog}(2,c x)}{x^3} \, dx","Int[((g + h*Log[1 - c*x])*PolyLog[2, c*x])/x^3,x]","-\frac{1}{2} c^2 h \text{PolyLog}(2,c x)-\frac{1}{2} c^2 h \text{PolyLog}(3,c x)-c^2 h \text{PolyLog}(3,1-c x)+\frac{1}{2} c^2 h \log (1-c x) \text{PolyLog}(2,c x)+c^2 h \log (1-c x) \text{PolyLog}(2,1-c x)-\frac{\text{PolyLog}(2,c x) (h \log (1-c x)+g)}{2 x^2}+\frac{c h \text{PolyLog}(2,c x)}{2 x}-\frac{c^2 (h \log (1-c x)+g)^2}{8 h}+\frac{1}{4} c^2 g \log (x)-\frac{1}{8} c^2 h \log ^2(1-c x)+\frac{1}{2} c^2 h \log (c x) \log ^2(1-c x)-c^2 h \log (x)+\frac{3}{4} c^2 h \log (1-c x)+\frac{\log (1-c x) (h \log (1-c x)+g)}{4 x^2}-\frac{c (1-c x) (h \log (1-c x)+g)}{4 x}-\frac{3 c h \log (1-c x)}{4 x}","-\frac{1}{2} c^2 h \text{PolyLog}\left(2,\frac{1}{1-c x}\right)-\frac{1}{2} c^2 h \text{PolyLog}(3,c x)-c^2 h \text{PolyLog}(3,1-c x)+\frac{1}{2} c^2 h \log (1-c x) \text{PolyLog}(2,c x)+c^2 h \log (1-c x) \text{PolyLog}(2,1-c x)-\frac{\text{PolyLog}(2,c x) (h \log (1-c x)+g)}{2 x^2}+\frac{c h \text{PolyLog}(2,c x)}{2 x}+\frac{1}{4} c^2 \log \left(1-\frac{1}{1-c x}\right) (2 h \log (1-c x)+g)+\frac{1}{2} c^2 h \log (c x) \log ^2(1-c x)-c^2 h \log (x)+\frac{1}{2} c^2 h \log (1-c x)+\frac{\log (1-c x) (h \log (1-c x)+g)}{4 x^2}-\frac{c (1-c x) (2 h \log (1-c x)+g)}{4 x}-\frac{c h \log (1-c x)}{2 x}",1,"(c^2*g*Log[x])/4 - c^2*h*Log[x] + (3*c^2*h*Log[1 - c*x])/4 - (3*c*h*Log[1 - c*x])/(4*x) - (c^2*h*Log[1 - c*x]^2)/8 + (c^2*h*Log[c*x]*Log[1 - c*x]^2)/2 - (c*(1 - c*x)*(g + h*Log[1 - c*x]))/(4*x) + (Log[1 - c*x]*(g + h*Log[1 - c*x]))/(4*x^2) - (c^2*(g + h*Log[1 - c*x])^2)/(8*h) - (c^2*h*PolyLog[2, c*x])/2 + (c*h*PolyLog[2, c*x])/(2*x) + (c^2*h*Log[1 - c*x]*PolyLog[2, c*x])/2 - ((g + h*Log[1 - c*x])*PolyLog[2, c*x])/(2*x^2) + c^2*h*Log[1 - c*x]*PolyLog[2, 1 - c*x] - (c^2*h*PolyLog[3, c*x])/2 - c^2*h*PolyLog[3, 1 - c*x]","A",31,22,20,1.100,1,"{6603, 2439, 2410, 2395, 36, 29, 31, 2391, 2390, 2301, 2411, 2347, 2344, 2316, 2315, 2314, 6591, 6589, 6596, 2396, 2433, 2374}"
176,1,351,0,0.6508038,"\int \frac{(g+h \log (1-c x)) \text{PolyLog}(2,c x)}{x^4} \, dx","Int[((g + h*Log[1 - c*x])*PolyLog[2, c*x])/x^4,x]","-\frac{2}{9} c^3 h \text{PolyLog}(2,c x)-\frac{1}{3} c^3 h \text{PolyLog}(3,c x)-\frac{2}{3} c^3 h \text{PolyLog}(3,1-c x)+\frac{c^2 h \text{PolyLog}(2,c x)}{3 x}+\frac{1}{3} c^3 h \log (1-c x) \text{PolyLog}(2,c x)+\frac{2}{3} c^3 h \log (1-c x) \text{PolyLog}(2,1-c x)-\frac{\text{PolyLog}(2,c x) (h \log (1-c x)+g)}{3 x^3}+\frac{c h \text{PolyLog}(2,c x)}{6 x^2}-\frac{c^3 (h \log (1-c x)+g)^2}{18 h}-\frac{c^2 (1-c x) (h \log (1-c x)+g)}{9 x}+\frac{1}{9} c^3 g \log (x)+\frac{7 c^2 h}{36 x}-\frac{1}{18} c^3 h \log ^2(1-c x)+\frac{1}{3} c^3 h \log (c x) \log ^2(1-c x)-\frac{3}{4} c^3 h \log (x)+\frac{23}{36} c^3 h \log (1-c x)-\frac{4 c^2 h \log (1-c x)}{9 x}-\frac{c (h \log (1-c x)+g)}{18 x^2}+\frac{\log (1-c x) (h \log (1-c x)+g)}{9 x^3}-\frac{5 c h \log (1-c x)}{36 x^2}","-\frac{2}{9} c^3 h \text{PolyLog}\left(2,\frac{1}{1-c x}\right)-\frac{1}{3} c^3 h \text{PolyLog}(3,c x)-\frac{2}{3} c^3 h \text{PolyLog}(3,1-c x)+\frac{c^2 h \text{PolyLog}(2,c x)}{3 x}+\frac{1}{3} c^3 h \log (1-c x) \text{PolyLog}(2,c x)+\frac{2}{3} c^3 h \log (1-c x) \text{PolyLog}(2,1-c x)-\frac{\text{PolyLog}(2,c x) (h \log (1-c x)+g)}{3 x^3}+\frac{c h \text{PolyLog}(2,c x)}{6 x^2}+\frac{1}{9} c^3 \log \left(1-\frac{1}{1-c x}\right) (2 h \log (1-c x)+g)-\frac{c^2 (1-c x) (2 h \log (1-c x)+g)}{9 x}+\frac{7 c^2 h}{36 x}+\frac{1}{3} c^3 h \log (c x) \log ^2(1-c x)-\frac{3}{4} c^3 h \log (x)+\frac{19}{36} c^3 h \log (1-c x)-\frac{c^2 h \log (1-c x)}{3 x}-\frac{c (2 h \log (1-c x)+g)}{18 x^2}+\frac{\log (1-c x) (h \log (1-c x)+g)}{9 x^3}-\frac{c h \log (1-c x)}{12 x^2}",1,"(7*c^2*h)/(36*x) + (c^3*g*Log[x])/9 - (3*c^3*h*Log[x])/4 + (23*c^3*h*Log[1 - c*x])/36 - (5*c*h*Log[1 - c*x])/(36*x^2) - (4*c^2*h*Log[1 - c*x])/(9*x) - (c^3*h*Log[1 - c*x]^2)/18 + (c^3*h*Log[c*x]*Log[1 - c*x]^2)/3 - (c*(g + h*Log[1 - c*x]))/(18*x^2) - (c^2*(1 - c*x)*(g + h*Log[1 - c*x]))/(9*x) + (Log[1 - c*x]*(g + h*Log[1 - c*x]))/(9*x^3) - (c^3*(g + h*Log[1 - c*x])^2)/(18*h) - (2*c^3*h*PolyLog[2, c*x])/9 + (c*h*PolyLog[2, c*x])/(6*x^2) + (c^2*h*PolyLog[2, c*x])/(3*x) + (c^3*h*Log[1 - c*x]*PolyLog[2, c*x])/3 - ((g + h*Log[1 - c*x])*PolyLog[2, c*x])/(3*x^3) + (2*c^3*h*Log[1 - c*x]*PolyLog[2, 1 - c*x])/3 - (c^3*h*PolyLog[3, c*x])/3 - (2*c^3*h*PolyLog[3, 1 - c*x])/3","A",42,24,20,1.200,1,"{6603, 2439, 2410, 2395, 44, 36, 29, 31, 2391, 2390, 2301, 2411, 2347, 2344, 2316, 2315, 2314, 2319, 6591, 6589, 6596, 2396, 2433, 2374}"
177,1,2995,0,4.5996051,"\int x^2 \left(g+h \log \left(f (d+e x)^n\right)\right) \text{PolyLog}(2,c (a+b x)) \, dx","Int[x^2*(g + h*Log[f*(d + e*x)^n])*PolyLog[2, c*(a + b*x)],x]","-\frac{h n \left(\log (c (a+b x))+\log \left(\frac{b c d-a c e+e}{b c (d+e x)}\right)-\log \left(\frac{(b c d-a c e+e) (a+b x)}{b (d+e x)}\right)\right) \log ^2\left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) a^3}{6 b^3}+\frac{h n \left(\log (c (a+b x))-\log \left(-\frac{e (a+b x)}{b d-a e}\right)\right) \left(\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)+\log (1-c (a+b x))\right)^2 a^3}{6 b^3}-\frac{h n \log (c (a+b x)) \log (d+e x) \log (1-c (a+b x)) a^3}{3 b^3}+\frac{g \text{PolyLog}(2,c (a+b x)) a^3}{3 b^3}-\frac{h n \text{PolyLog}(2,c (a+b x)) a^3}{9 b^3}-\frac{h \left(n \log (d+e x)-\log \left(f (d+e x)^n\right)\right) \text{PolyLog}(2,c (a+b x)) a^3}{3 b^3}-\frac{h n \left(\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)+\log (1-c (a+b x))\right) \text{PolyLog}\left(2,\frac{b (d+e x)}{b d-a e}\right) a^3}{3 b^3}-\frac{h n \left(\log (d+e x)-\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)\right) \text{PolyLog}(2,1-c (a+b x)) a^3}{3 b^3}+\frac{h n \log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) \text{PolyLog}\left(2,-\frac{e (1-c (a+b x))}{b c (d+e x)}\right) a^3}{3 b^3}-\frac{h n \log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) \text{PolyLog}\left(2,\frac{(b d-a e) (1-c (a+b x))}{b (d+e x)}\right) a^3}{3 b^3}+\frac{h n \text{PolyLog}\left(3,\frac{b (d+e x)}{b d-a e}\right) a^3}{3 b^3}+\frac{h n \text{PolyLog}(3,1-c (a+b x)) a^3}{3 b^3}+\frac{h n \text{PolyLog}\left(3,-\frac{e (1-c (a+b x))}{b c (d+e x)}\right) a^3}{3 b^3}-\frac{h n \text{PolyLog}\left(3,\frac{(b d-a e) (1-c (a+b x))}{b (d+e x)}\right) a^3}{3 b^3}-\frac{g x a^2}{3 b^2}+\frac{7 h n x a^2}{9 b^2}+\frac{4 h n (-a c-b x c+1) \log (-a c-b x c+1) a^2}{9 b^3 c}+\frac{d h n \log (-a c-b x c+1) \log \left(\frac{b c (d+e x)}{b c d-a c e+e}\right) a^2}{3 b^2 e}-\frac{h (d+e x) \log \left(f (d+e x)^n\right) a^2}{3 b^2 e}+\frac{x \log (-a c-b x c+1) \left(g+h \log \left(f (d+e x)^n\right)\right) a^2}{3 b^2}-\frac{(1-a c) \log \left(\frac{e (-a c-b x c+1)}{b c d-a c e+e}\right) \left(g+h \log \left(f (d+e x)^n\right)\right) a^2}{3 b^3 c}-\frac{d h n \text{PolyLog}(2,c (a+b x)) a^2}{6 b^2 e}+\frac{d h n \text{PolyLog}\left(2,\frac{e (-a c-b x c+1)}{b c d-a c e+e}\right) a^2}{3 b^2 e}-\frac{(1-a c) h n \text{PolyLog}\left(2,\frac{b c (d+e x)}{b c d-a c e+e}\right) a^2}{3 b^3 c}-\frac{h n x^2 a}{9 b}+\frac{(1-a c) g x a}{6 b^2 c}-\frac{11 (1-a c) h n x a}{36 b^2 c}+\frac{5 d h n x a}{12 b e}+\frac{5 h n x^2 \log (-a c-b x c+1) a}{36 b}-\frac{5 (1-a c)^2 h n \log (-a c-b x c+1) a}{36 b^3 c^2}+\frac{d h n (-a c-b x c+1) \log (-a c-b x c+1) a}{3 b^2 c e}-\frac{d^2 h n \log (d+e x) a}{12 b e^2}+\frac{d^2 h n \log (-a c-b x c+1) \log \left(\frac{b c (d+e x)}{b c d-a c e+e}\right) a}{6 b e^2}+\frac{(1-a c) h (d+e x) \log \left(f (d+e x)^n\right) a}{6 b^2 c e}+\frac{x^2 \left(g+h \log \left(f (d+e x)^n\right)\right) a}{12 b}-\frac{x^2 \log (-a c-b x c+1) \left(g+h \log \left(f (d+e x)^n\right)\right) a}{6 b}+\frac{(1-a c)^2 \log \left(\frac{e (-a c-b x c+1)}{b c d-a c e+e}\right) \left(g+h \log \left(f (d+e x)^n\right)\right) a}{6 b^3 c^2}-\frac{d^2 h n \text{PolyLog}(2,c (a+b x)) a}{3 b e^2}+\frac{d^2 h n \text{PolyLog}\left(2,\frac{e (-a c-b x c+1)}{b c d-a c e+e}\right) a}{6 b e^2}+\frac{(1-a c)^2 h n \text{PolyLog}\left(2,\frac{b c (d+e x)}{b c d-a c e+e}\right) a}{6 b^3 c^2}+\frac{1}{27} h n x^3+\frac{7 (1-a c) h n x^2}{108 b c}-\frac{19 d h n x^2}{216 e}+\frac{d^3 h n \left(\log (c (a+b x))+\log \left(\frac{b c d-a c e+e}{b c (d+e x)}\right)-\log \left(\frac{(b c d-a c e+e) (a+b x)}{b (d+e x)}\right)\right) \log ^2\left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)}{6 e^3}-\frac{d^3 h n \left(\log (c (a+b x))-\log \left(-\frac{e (a+b x)}{b d-a e}\right)\right) \left(\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)+\log (1-c (a+b x))\right)^2}{6 e^3}-\frac{(1-a c)^2 g x}{9 b^2 c^2}+\frac{5 (1-a c)^2 h n x}{27 b^2 c^2}-\frac{7 (1-a c) d h n x}{36 b c e}+\frac{13 d^2 h n x}{27 e^2}-\frac{2}{27} h n x^3 \log (-a c-b x c+1)+\frac{5 d h n x^2 \log (-a c-b x c+1)}{36 e}+\frac{2 (1-a c)^3 h n \log (-a c-b x c+1)}{27 b^3 c^3}-\frac{5 (1-a c)^2 d h n \log (-a c-b x c+1)}{36 b^2 c^2 e}+\frac{4 d^2 h n (-a c-b x c+1) \log (-a c-b x c+1)}{9 b c e^2}+\frac{(1-a c) d^2 h n \log (d+e x)}{18 b c e^2}-\frac{d^3 h n \log (d+e x)}{27 e^3}+\frac{d^3 h n \log (-a c-b x c+1) \log \left(\frac{b c (d+e x)}{b c d-a c e+e}\right)}{9 e^3}-\frac{(1-a c)^2 h (d+e x) \log \left(f (d+e x)^n\right)}{9 b^2 c^2 e}-\frac{1}{27} x^3 \left(g+h \log \left(f (d+e x)^n\right)\right)-\frac{(1-a c) x^2 \left(g+h \log \left(f (d+e x)^n\right)\right)}{18 b c}+\frac{1}{9} x^3 \log (-a c-b x c+1) \left(g+h \log \left(f (d+e x)^n\right)\right)-\frac{(1-a c)^3 \log \left(\frac{e (-a c-b x c+1)}{b c d-a c e+e}\right) \left(g+h \log \left(f (d+e x)^n\right)\right)}{9 b^3 c^3}+\frac{d^3 h n \log (c (a+b x)) \log (d+e x) \log (1-c (a+b x))}{3 e^3}-\frac{1}{9} h n x^3 \text{PolyLog}(2,c (a+b x))+\frac{d h n x^2 \text{PolyLog}(2,c (a+b x))}{6 e}-\frac{d^2 h n x \text{PolyLog}(2,c (a+b x))}{3 e^2}+\frac{d^3 h n \log (d+e x) \text{PolyLog}(2,c (a+b x))}{3 e^3}+\frac{1}{3} x^3 \left(g+h \log \left(f (d+e x)^n\right)\right) \text{PolyLog}(2,c (a+b x))+\frac{d^3 h n \text{PolyLog}\left(2,\frac{e (-a c-b x c+1)}{b c d-a c e+e}\right)}{9 e^3}+\frac{d^3 h n \left(\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)+\log (1-c (a+b x))\right) \text{PolyLog}\left(2,\frac{b (d+e x)}{b d-a e}\right)}{3 e^3}-\frac{(1-a c)^3 h n \text{PolyLog}\left(2,\frac{b c (d+e x)}{b c d-a c e+e}\right)}{9 b^3 c^3}+\frac{d^3 h n \left(\log (d+e x)-\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)\right) \text{PolyLog}(2,1-c (a+b x))}{3 e^3}-\frac{d^3 h n \log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) \text{PolyLog}\left(2,-\frac{e (1-c (a+b x))}{b c (d+e x)}\right)}{3 e^3}+\frac{d^3 h n \log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) \text{PolyLog}\left(2,\frac{(b d-a e) (1-c (a+b x))}{b (d+e x)}\right)}{3 e^3}-\frac{d^3 h n \text{PolyLog}\left(3,\frac{b (d+e x)}{b d-a e}\right)}{3 e^3}-\frac{d^3 h n \text{PolyLog}(3,1-c (a+b x))}{3 e^3}-\frac{d^3 h n \text{PolyLog}\left(3,-\frac{e (1-c (a+b x))}{b c (d+e x)}\right)}{3 e^3}+\frac{d^3 h n \text{PolyLog}\left(3,\frac{(b d-a e) (1-c (a+b x))}{b (d+e x)}\right)}{3 e^3}","-\frac{h n \left(\log (c (a+b x))+\log \left(\frac{b c d-a c e+e}{b c (d+e x)}\right)-\log \left(\frac{(b c d-a c e+e) (a+b x)}{b (d+e x)}\right)\right) \log ^2\left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) a^3}{6 b^3}+\frac{h n \left(\log (c (a+b x))-\log \left(-\frac{e (a+b x)}{b d-a e}\right)\right) \left(\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)+\log (1-c (a+b x))\right)^2 a^3}{6 b^3}-\frac{h n \log (c (a+b x)) \log (d+e x) \log (1-c (a+b x)) a^3}{3 b^3}+\frac{g \text{PolyLog}(2,c (a+b x)) a^3}{3 b^3}-\frac{h n \text{PolyLog}(2,c (a+b x)) a^3}{9 b^3}-\frac{h \left(n \log (d+e x)-\log \left(f (d+e x)^n\right)\right) \text{PolyLog}(2,c (a+b x)) a^3}{3 b^3}-\frac{h n \left(\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)+\log (1-c (a+b x))\right) \text{PolyLog}\left(2,\frac{b (d+e x)}{b d-a e}\right) a^3}{3 b^3}-\frac{h n \left(\log (d+e x)-\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)\right) \text{PolyLog}(2,1-c (a+b x)) a^3}{3 b^3}+\frac{h n \log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) \text{PolyLog}\left(2,-\frac{e (1-c (a+b x))}{b c (d+e x)}\right) a^3}{3 b^3}-\frac{h n \log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) \text{PolyLog}\left(2,\frac{(b d-a e) (1-c (a+b x))}{b (d+e x)}\right) a^3}{3 b^3}+\frac{h n \text{PolyLog}\left(3,\frac{b (d+e x)}{b d-a e}\right) a^3}{3 b^3}+\frac{h n \text{PolyLog}(3,1-c (a+b x)) a^3}{3 b^3}+\frac{h n \text{PolyLog}\left(3,-\frac{e (1-c (a+b x))}{b c (d+e x)}\right) a^3}{3 b^3}-\frac{h n \text{PolyLog}\left(3,\frac{(b d-a e) (1-c (a+b x))}{b (d+e x)}\right) a^3}{3 b^3}-\frac{g x a^2}{3 b^2}+\frac{7 h n x a^2}{9 b^2}+\frac{4 h n (-a c-b x c+1) \log (-a c-b x c+1) a^2}{9 b^3 c}+\frac{d h n \log (-a c-b x c+1) \log \left(\frac{b c (d+e x)}{b c d-a c e+e}\right) a^2}{3 b^2 e}-\frac{h (d+e x) \log \left(f (d+e x)^n\right) a^2}{3 b^2 e}+\frac{x \log (-a c-b x c+1) \left(g+h \log \left(f (d+e x)^n\right)\right) a^2}{3 b^2}-\frac{(1-a c) \log \left(\frac{e (-a c-b x c+1)}{b c d-a c e+e}\right) \left(g+h \log \left(f (d+e x)^n\right)\right) a^2}{3 b^3 c}-\frac{d h n \text{PolyLog}(2,c (a+b x)) a^2}{6 b^2 e}+\frac{d h n \text{PolyLog}\left(2,\frac{e (-a c-b x c+1)}{b c d-a c e+e}\right) a^2}{3 b^2 e}-\frac{(1-a c) h n \text{PolyLog}\left(2,\frac{b c (d+e x)}{b c d-a c e+e}\right) a^2}{3 b^3 c}-\frac{h n x^2 a}{9 b}+\frac{(1-a c) g x a}{6 b^2 c}-\frac{11 (1-a c) h n x a}{36 b^2 c}+\frac{5 d h n x a}{12 b e}+\frac{5 h n x^2 \log (-a c-b x c+1) a}{36 b}-\frac{5 (1-a c)^2 h n \log (-a c-b x c+1) a}{36 b^3 c^2}+\frac{d h n (-a c-b x c+1) \log (-a c-b x c+1) a}{3 b^2 c e}-\frac{d^2 h n \log (d+e x) a}{12 b e^2}+\frac{d^2 h n \log (-a c-b x c+1) \log \left(\frac{b c (d+e x)}{b c d-a c e+e}\right) a}{6 b e^2}+\frac{(1-a c) h (d+e x) \log \left(f (d+e x)^n\right) a}{6 b^2 c e}+\frac{x^2 \left(g+h \log \left(f (d+e x)^n\right)\right) a}{12 b}-\frac{x^2 \log (-a c-b x c+1) \left(g+h \log \left(f (d+e x)^n\right)\right) a}{6 b}+\frac{(1-a c)^2 \log \left(\frac{e (-a c-b x c+1)}{b c d-a c e+e}\right) \left(g+h \log \left(f (d+e x)^n\right)\right) a}{6 b^3 c^2}-\frac{d^2 h n \text{PolyLog}(2,c (a+b x)) a}{3 b e^2}+\frac{d^2 h n \text{PolyLog}\left(2,\frac{e (-a c-b x c+1)}{b c d-a c e+e}\right) a}{6 b e^2}+\frac{(1-a c)^2 h n \text{PolyLog}\left(2,\frac{b c (d+e x)}{b c d-a c e+e}\right) a}{6 b^3 c^2}+\frac{1}{27} h n x^3+\frac{7 (1-a c) h n x^2}{108 b c}-\frac{19 d h n x^2}{216 e}+\frac{d^3 h n \left(\log (c (a+b x))+\log \left(\frac{b c d-a c e+e}{b c (d+e x)}\right)-\log \left(\frac{(b c d-a c e+e) (a+b x)}{b (d+e x)}\right)\right) \log ^2\left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)}{6 e^3}-\frac{d^3 h n \left(\log (c (a+b x))-\log \left(-\frac{e (a+b x)}{b d-a e}\right)\right) \left(\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)+\log (1-c (a+b x))\right)^2}{6 e^3}-\frac{(1-a c)^2 g x}{9 b^2 c^2}+\frac{5 (1-a c)^2 h n x}{27 b^2 c^2}-\frac{7 (1-a c) d h n x}{36 b c e}+\frac{13 d^2 h n x}{27 e^2}-\frac{2}{27} h n x^3 \log (-a c-b x c+1)+\frac{5 d h n x^2 \log (-a c-b x c+1)}{36 e}+\frac{2 (1-a c)^3 h n \log (-a c-b x c+1)}{27 b^3 c^3}-\frac{5 (1-a c)^2 d h n \log (-a c-b x c+1)}{36 b^2 c^2 e}+\frac{4 d^2 h n (-a c-b x c+1) \log (-a c-b x c+1)}{9 b c e^2}+\frac{(1-a c) d^2 h n \log (d+e x)}{18 b c e^2}-\frac{d^3 h n \log (d+e x)}{27 e^3}+\frac{d^3 h n \log (-a c-b x c+1) \log \left(\frac{b c (d+e x)}{b c d-a c e+e}\right)}{9 e^3}-\frac{(1-a c)^2 h (d+e x) \log \left(f (d+e x)^n\right)}{9 b^2 c^2 e}-\frac{1}{27} x^3 \left(g+h \log \left(f (d+e x)^n\right)\right)-\frac{(1-a c) x^2 \left(g+h \log \left(f (d+e x)^n\right)\right)}{18 b c}+\frac{1}{9} x^3 \log (-a c-b x c+1) \left(g+h \log \left(f (d+e x)^n\right)\right)-\frac{(1-a c)^3 \log \left(\frac{e (-a c-b x c+1)}{b c d-a c e+e}\right) \left(g+h \log \left(f (d+e x)^n\right)\right)}{9 b^3 c^3}+\frac{d^3 h n \log (c (a+b x)) \log (d+e x) \log (1-c (a+b x))}{3 e^3}-\frac{1}{9} h n x^3 \text{PolyLog}(2,c (a+b x))+\frac{d h n x^2 \text{PolyLog}(2,c (a+b x))}{6 e}-\frac{d^2 h n x \text{PolyLog}(2,c (a+b x))}{3 e^2}+\frac{d^3 h n \log (d+e x) \text{PolyLog}(2,c (a+b x))}{3 e^3}+\frac{1}{3} x^3 \left(g+h \log \left(f (d+e x)^n\right)\right) \text{PolyLog}(2,c (a+b x))+\frac{d^3 h n \text{PolyLog}\left(2,\frac{e (-a c-b x c+1)}{b c d-a c e+e}\right)}{9 e^3}+\frac{d^3 h n \left(\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)+\log (1-c (a+b x))\right) \text{PolyLog}\left(2,\frac{b (d+e x)}{b d-a e}\right)}{3 e^3}-\frac{(1-a c)^3 h n \text{PolyLog}\left(2,\frac{b c (d+e x)}{b c d-a c e+e}\right)}{9 b^3 c^3}+\frac{d^3 h n \left(\log (d+e x)-\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)\right) \text{PolyLog}(2,1-c (a+b x))}{3 e^3}-\frac{d^3 h n \log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) \text{PolyLog}\left(2,-\frac{e (1-c (a+b x))}{b c (d+e x)}\right)}{3 e^3}+\frac{d^3 h n \log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) \text{PolyLog}\left(2,\frac{(b d-a e) (1-c (a+b x))}{b (d+e x)}\right)}{3 e^3}-\frac{d^3 h n \text{PolyLog}\left(3,\frac{b (d+e x)}{b d-a e}\right)}{3 e^3}-\frac{d^3 h n \text{PolyLog}(3,1-c (a+b x))}{3 e^3}-\frac{d^3 h n \text{PolyLog}\left(3,-\frac{e (1-c (a+b x))}{b c (d+e x)}\right)}{3 e^3}+\frac{d^3 h n \text{PolyLog}\left(3,\frac{(b d-a e) (1-c (a+b x))}{b (d+e x)}\right)}{3 e^3}",1,"-(a^2*g*x)/(3*b^2) + (a*(1 - a*c)*g*x)/(6*b^2*c) - ((1 - a*c)^2*g*x)/(9*b^2*c^2) + (7*a^2*h*n*x)/(9*b^2) - (11*a*(1 - a*c)*h*n*x)/(36*b^2*c) + (5*(1 - a*c)^2*h*n*x)/(27*b^2*c^2) + (13*d^2*h*n*x)/(27*e^2) + (5*a*d*h*n*x)/(12*b*e) - (7*(1 - a*c)*d*h*n*x)/(36*b*c*e) - (a*h*n*x^2)/(9*b) + (7*(1 - a*c)*h*n*x^2)/(108*b*c) - (19*d*h*n*x^2)/(216*e) + (h*n*x^3)/27 - (5*a*(1 - a*c)^2*h*n*Log[1 - a*c - b*c*x])/(36*b^3*c^2) + (2*(1 - a*c)^3*h*n*Log[1 - a*c - b*c*x])/(27*b^3*c^3) - (5*(1 - a*c)^2*d*h*n*Log[1 - a*c - b*c*x])/(36*b^2*c^2*e) + (5*a*h*n*x^2*Log[1 - a*c - b*c*x])/(36*b) + (5*d*h*n*x^2*Log[1 - a*c - b*c*x])/(36*e) - (2*h*n*x^3*Log[1 - a*c - b*c*x])/27 + (4*a^2*h*n*(1 - a*c - b*c*x)*Log[1 - a*c - b*c*x])/(9*b^3*c) + (4*d^2*h*n*(1 - a*c - b*c*x)*Log[1 - a*c - b*c*x])/(9*b*c*e^2) + (a*d*h*n*(1 - a*c - b*c*x)*Log[1 - a*c - b*c*x])/(3*b^2*c*e) - (d^3*h*n*Log[d + e*x])/(27*e^3) - (a*d^2*h*n*Log[d + e*x])/(12*b*e^2) + ((1 - a*c)*d^2*h*n*Log[d + e*x])/(18*b*c*e^2) + (d^3*h*n*Log[1 - a*c - b*c*x]*Log[(b*c*(d + e*x))/(b*c*d + e - a*c*e)])/(9*e^3) + (a*d^2*h*n*Log[1 - a*c - b*c*x]*Log[(b*c*(d + e*x))/(b*c*d + e - a*c*e)])/(6*b*e^2) + (a^2*d*h*n*Log[1 - a*c - b*c*x]*Log[(b*c*(d + e*x))/(b*c*d + e - a*c*e)])/(3*b^2*e) - (a^2*h*(d + e*x)*Log[f*(d + e*x)^n])/(3*b^2*e) + (a*(1 - a*c)*h*(d + e*x)*Log[f*(d + e*x)^n])/(6*b^2*c*e) - ((1 - a*c)^2*h*(d + e*x)*Log[f*(d + e*x)^n])/(9*b^2*c^2*e) + (a*x^2*(g + h*Log[f*(d + e*x)^n]))/(12*b) - ((1 - a*c)*x^2*(g + h*Log[f*(d + e*x)^n]))/(18*b*c) - (x^3*(g + h*Log[f*(d + e*x)^n]))/27 + (a^2*x*Log[1 - a*c - b*c*x]*(g + h*Log[f*(d + e*x)^n]))/(3*b^2) - (a*x^2*Log[1 - a*c - b*c*x]*(g + h*Log[f*(d + e*x)^n]))/(6*b) + (x^3*Log[1 - a*c - b*c*x]*(g + h*Log[f*(d + e*x)^n]))/9 - (a^2*(1 - a*c)*Log[(e*(1 - a*c - b*c*x))/(b*c*d + e - a*c*e)]*(g + h*Log[f*(d + e*x)^n]))/(3*b^3*c) + (a*(1 - a*c)^2*Log[(e*(1 - a*c - b*c*x))/(b*c*d + e - a*c*e)]*(g + h*Log[f*(d + e*x)^n]))/(6*b^3*c^2) - ((1 - a*c)^3*Log[(e*(1 - a*c - b*c*x))/(b*c*d + e - a*c*e)]*(g + h*Log[f*(d + e*x)^n]))/(9*b^3*c^3) - (a^3*h*n*(Log[c*(a + b*x)] + Log[(b*c*d + e - a*c*e)/(b*c*(d + e*x))] - Log[((b*c*d + e - a*c*e)*(a + b*x))/(b*(d + e*x))])*Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))]^2)/(6*b^3) + (d^3*h*n*(Log[c*(a + b*x)] + Log[(b*c*d + e - a*c*e)/(b*c*(d + e*x))] - Log[((b*c*d + e - a*c*e)*(a + b*x))/(b*(d + e*x))])*Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))]^2)/(6*e^3) - (a^3*h*n*Log[c*(a + b*x)]*Log[d + e*x]*Log[1 - c*(a + b*x)])/(3*b^3) + (d^3*h*n*Log[c*(a + b*x)]*Log[d + e*x]*Log[1 - c*(a + b*x)])/(3*e^3) + (a^3*h*n*(Log[c*(a + b*x)] - Log[-((e*(a + b*x))/(b*d - a*e))])*(Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))] + Log[1 - c*(a + b*x)])^2)/(6*b^3) - (d^3*h*n*(Log[c*(a + b*x)] - Log[-((e*(a + b*x))/(b*d - a*e))])*(Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))] + Log[1 - c*(a + b*x)])^2)/(6*e^3) + (a^3*g*PolyLog[2, c*(a + b*x)])/(3*b^3) - (a^3*h*n*PolyLog[2, c*(a + b*x)])/(9*b^3) - (a*d^2*h*n*PolyLog[2, c*(a + b*x)])/(3*b*e^2) - (a^2*d*h*n*PolyLog[2, c*(a + b*x)])/(6*b^2*e) - (d^2*h*n*x*PolyLog[2, c*(a + b*x)])/(3*e^2) + (d*h*n*x^2*PolyLog[2, c*(a + b*x)])/(6*e) - (h*n*x^3*PolyLog[2, c*(a + b*x)])/9 + (d^3*h*n*Log[d + e*x]*PolyLog[2, c*(a + b*x)])/(3*e^3) - (a^3*h*(n*Log[d + e*x] - Log[f*(d + e*x)^n])*PolyLog[2, c*(a + b*x)])/(3*b^3) + (x^3*(g + h*Log[f*(d + e*x)^n])*PolyLog[2, c*(a + b*x)])/3 + (d^3*h*n*PolyLog[2, (e*(1 - a*c - b*c*x))/(b*c*d + e - a*c*e)])/(9*e^3) + (a*d^2*h*n*PolyLog[2, (e*(1 - a*c - b*c*x))/(b*c*d + e - a*c*e)])/(6*b*e^2) + (a^2*d*h*n*PolyLog[2, (e*(1 - a*c - b*c*x))/(b*c*d + e - a*c*e)])/(3*b^2*e) - (a^3*h*n*(Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))] + Log[1 - c*(a + b*x)])*PolyLog[2, (b*(d + e*x))/(b*d - a*e)])/(3*b^3) + (d^3*h*n*(Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))] + Log[1 - c*(a + b*x)])*PolyLog[2, (b*(d + e*x))/(b*d - a*e)])/(3*e^3) - (a^2*(1 - a*c)*h*n*PolyLog[2, (b*c*(d + e*x))/(b*c*d + e - a*c*e)])/(3*b^3*c) + (a*(1 - a*c)^2*h*n*PolyLog[2, (b*c*(d + e*x))/(b*c*d + e - a*c*e)])/(6*b^3*c^2) - ((1 - a*c)^3*h*n*PolyLog[2, (b*c*(d + e*x))/(b*c*d + e - a*c*e)])/(9*b^3*c^3) - (a^3*h*n*(Log[d + e*x] - Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))])*PolyLog[2, 1 - c*(a + b*x)])/(3*b^3) + (d^3*h*n*(Log[d + e*x] - Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))])*PolyLog[2, 1 - c*(a + b*x)])/(3*e^3) + (a^3*h*n*Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))]*PolyLog[2, -((e*(1 - c*(a + b*x)))/(b*c*(d + e*x)))])/(3*b^3) - (d^3*h*n*Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))]*PolyLog[2, -((e*(1 - c*(a + b*x)))/(b*c*(d + e*x)))])/(3*e^3) - (a^3*h*n*Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))]*PolyLog[2, ((b*d - a*e)*(1 - c*(a + b*x)))/(b*(d + e*x))])/(3*b^3) + (d^3*h*n*Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))]*PolyLog[2, ((b*d - a*e)*(1 - c*(a + b*x)))/(b*(d + e*x))])/(3*e^3) + (a^3*h*n*PolyLog[3, (b*(d + e*x))/(b*d - a*e)])/(3*b^3) - (d^3*h*n*PolyLog[3, (b*(d + e*x))/(b*d - a*e)])/(3*e^3) + (a^3*h*n*PolyLog[3, 1 - c*(a + b*x)])/(3*b^3) - (d^3*h*n*PolyLog[3, 1 - c*(a + b*x)])/(3*e^3) + (a^3*h*n*PolyLog[3, -((e*(1 - c*(a + b*x)))/(b*c*(d + e*x)))])/(3*b^3) - (d^3*h*n*PolyLog[3, -((e*(1 - c*(a + b*x)))/(b*c*(d + e*x)))])/(3*e^3) - (a^3*h*n*PolyLog[3, ((b*d - a*e)*(1 - c*(a + b*x)))/(b*(d + e*x))])/(3*b^3) + (d^3*h*n*PolyLog[3, ((b*d - a*e)*(1 - c*(a + b*x)))/(b*(d + e*x))])/(3*e^3)","A",108,20,27,0.7407,1,"{6603, 2430, 43, 2416, 2389, 2295, 2394, 2393, 2391, 2439, 2395, 2440, 2438, 2437, 2435, 6595, 2444, 2421, 6598, 6597}"
178,1,2252,0,2.9044573,"\int x \left(g+h \log \left(f (d+e x)^n\right)\right) \text{PolyLog}(2,c (a+b x)) \, dx","Int[x*(g + h*Log[f*(d + e*x)^n])*PolyLog[2, c*(a + b*x)],x]","\frac{h n \left(\log (c (a+b x))+\log \left(\frac{b c d-a c e+e}{b c (d+e x)}\right)-\log \left(\frac{(b c d-a c e+e) (a+b x)}{b (d+e x)}\right)\right) \log ^2\left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) a^2}{4 b^2}-\frac{h n \left(\log (c (a+b x))-\log \left(-\frac{e (a+b x)}{b d-a e}\right)\right) \left(\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)+\log (1-c (a+b x))\right)^2 a^2}{4 b^2}+\frac{h n \log (c (a+b x)) \log (d+e x) \log (1-c (a+b x)) a^2}{2 b^2}-\frac{g \text{PolyLog}(2,c (a+b x)) a^2}{2 b^2}+\frac{h n \text{PolyLog}(2,c (a+b x)) a^2}{4 b^2}+\frac{h \left(n \log (d+e x)-\log \left(f (d+e x)^n\right)\right) \text{PolyLog}(2,c (a+b x)) a^2}{2 b^2}+\frac{h n \left(\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)+\log (1-c (a+b x))\right) \text{PolyLog}\left(2,\frac{b (d+e x)}{b d-a e}\right) a^2}{2 b^2}+\frac{h n \left(\log (d+e x)-\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)\right) \text{PolyLog}(2,1-c (a+b x)) a^2}{2 b^2}-\frac{h n \log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) \text{PolyLog}\left(2,-\frac{e (1-c (a+b x))}{b c (d+e x)}\right) a^2}{2 b^2}+\frac{h n \log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) \text{PolyLog}\left(2,\frac{(b d-a e) (1-c (a+b x))}{b (d+e x)}\right) a^2}{2 b^2}-\frac{h n \text{PolyLog}\left(3,\frac{b (d+e x)}{b d-a e}\right) a^2}{2 b^2}-\frac{h n \text{PolyLog}(3,1-c (a+b x)) a^2}{2 b^2}-\frac{h n \text{PolyLog}\left(3,-\frac{e (1-c (a+b x))}{b c (d+e x)}\right) a^2}{2 b^2}+\frac{h n \text{PolyLog}\left(3,\frac{(b d-a e) (1-c (a+b x))}{b (d+e x)}\right) a^2}{2 b^2}+\frac{g x a}{2 b}-\frac{5 h n x a}{4 b}-\frac{3 h n (-a c-b x c+1) \log (-a c-b x c+1) a}{4 b^2 c}-\frac{d h n \log (-a c-b x c+1) \log \left(\frac{b c (d+e x)}{b c d-a c e+e}\right) a}{2 b e}+\frac{h (d+e x) \log \left(f (d+e x)^n\right) a}{2 b e}-\frac{x \log (-a c-b x c+1) \left(g+h \log \left(f (d+e x)^n\right)\right) a}{2 b}+\frac{(1-a c) \log \left(\frac{e (-a c-b x c+1)}{b c d-a c e+e}\right) \left(g+h \log \left(f (d+e x)^n\right)\right) a}{2 b^2 c}+\frac{d h n \text{PolyLog}(2,c (a+b x)) a}{2 b e}-\frac{d h n \text{PolyLog}\left(2,\frac{e (-a c-b x c+1)}{b c d-a c e+e}\right) a}{2 b e}+\frac{(1-a c) h n \text{PolyLog}\left(2,\frac{b c (d+e x)}{b c d-a c e+e}\right) a}{2 b^2 c}+\frac{3}{16} h n x^2-\frac{d^2 h n \left(\log (c (a+b x))+\log \left(\frac{b c d-a c e+e}{b c (d+e x)}\right)-\log \left(\frac{(b c d-a c e+e) (a+b x)}{b (d+e x)}\right)\right) \log ^2\left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)}{4 e^2}+\frac{d^2 h n \left(\log (c (a+b x))-\log \left(-\frac{e (a+b x)}{b d-a e}\right)\right) \left(\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)+\log (1-c (a+b x))\right)^2}{4 e^2}-\frac{(1-a c) g x}{4 b c}+\frac{(1-a c) h n x}{2 b c}-\frac{7 d h n x}{8 e}-\frac{1}{4} h n x^2 \log (-a c-b x c+1)+\frac{(1-a c)^2 h n \log (-a c-b x c+1)}{4 b^2 c^2}-\frac{3 d h n (-a c-b x c+1) \log (-a c-b x c+1)}{4 b c e}+\frac{d^2 h n \log (d+e x)}{8 e^2}-\frac{d^2 h n \log (-a c-b x c+1) \log \left(\frac{b c (d+e x)}{b c d-a c e+e}\right)}{4 e^2}-\frac{(1-a c) h (d+e x) \log \left(f (d+e x)^n\right)}{4 b c e}-\frac{1}{8} x^2 \left(g+h \log \left(f (d+e x)^n\right)\right)+\frac{1}{4} x^2 \log (-a c-b x c+1) \left(g+h \log \left(f (d+e x)^n\right)\right)-\frac{(1-a c)^2 \log \left(\frac{e (-a c-b x c+1)}{b c d-a c e+e}\right) \left(g+h \log \left(f (d+e x)^n\right)\right)}{4 b^2 c^2}-\frac{d^2 h n \log (c (a+b x)) \log (d+e x) \log (1-c (a+b x))}{2 e^2}-\frac{1}{4} h n x^2 \text{PolyLog}(2,c (a+b x))+\frac{d h n x \text{PolyLog}(2,c (a+b x))}{2 e}-\frac{d^2 h n \log (d+e x) \text{PolyLog}(2,c (a+b x))}{2 e^2}+\frac{1}{2} x^2 \left(g+h \log \left(f (d+e x)^n\right)\right) \text{PolyLog}(2,c (a+b x))-\frac{d^2 h n \text{PolyLog}\left(2,\frac{e (-a c-b x c+1)}{b c d-a c e+e}\right)}{4 e^2}-\frac{d^2 h n \left(\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)+\log (1-c (a+b x))\right) \text{PolyLog}\left(2,\frac{b (d+e x)}{b d-a e}\right)}{2 e^2}-\frac{(1-a c)^2 h n \text{PolyLog}\left(2,\frac{b c (d+e x)}{b c d-a c e+e}\right)}{4 b^2 c^2}-\frac{d^2 h n \left(\log (d+e x)-\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)\right) \text{PolyLog}(2,1-c (a+b x))}{2 e^2}+\frac{d^2 h n \log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) \text{PolyLog}\left(2,-\frac{e (1-c (a+b x))}{b c (d+e x)}\right)}{2 e^2}-\frac{d^2 h n \log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) \text{PolyLog}\left(2,\frac{(b d-a e) (1-c (a+b x))}{b (d+e x)}\right)}{2 e^2}+\frac{d^2 h n \text{PolyLog}\left(3,\frac{b (d+e x)}{b d-a e}\right)}{2 e^2}+\frac{d^2 h n \text{PolyLog}(3,1-c (a+b x))}{2 e^2}+\frac{d^2 h n \text{PolyLog}\left(3,-\frac{e (1-c (a+b x))}{b c (d+e x)}\right)}{2 e^2}-\frac{d^2 h n \text{PolyLog}\left(3,\frac{(b d-a e) (1-c (a+b x))}{b (d+e x)}\right)}{2 e^2}","\frac{h n \left(\log (c (a+b x))+\log \left(\frac{b c d-a c e+e}{b c (d+e x)}\right)-\log \left(\frac{(b c d-a c e+e) (a+b x)}{b (d+e x)}\right)\right) \log ^2\left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) a^2}{4 b^2}-\frac{h n \left(\log (c (a+b x))-\log \left(-\frac{e (a+b x)}{b d-a e}\right)\right) \left(\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)+\log (1-c (a+b x))\right)^2 a^2}{4 b^2}+\frac{h n \log (c (a+b x)) \log (d+e x) \log (1-c (a+b x)) a^2}{2 b^2}-\frac{g \text{PolyLog}(2,c (a+b x)) a^2}{2 b^2}+\frac{h n \text{PolyLog}(2,c (a+b x)) a^2}{4 b^2}+\frac{h \left(n \log (d+e x)-\log \left(f (d+e x)^n\right)\right) \text{PolyLog}(2,c (a+b x)) a^2}{2 b^2}+\frac{h n \left(\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)+\log (1-c (a+b x))\right) \text{PolyLog}\left(2,\frac{b (d+e x)}{b d-a e}\right) a^2}{2 b^2}+\frac{h n \left(\log (d+e x)-\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)\right) \text{PolyLog}(2,1-c (a+b x)) a^2}{2 b^2}-\frac{h n \log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) \text{PolyLog}\left(2,-\frac{e (1-c (a+b x))}{b c (d+e x)}\right) a^2}{2 b^2}+\frac{h n \log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) \text{PolyLog}\left(2,\frac{(b d-a e) (1-c (a+b x))}{b (d+e x)}\right) a^2}{2 b^2}-\frac{h n \text{PolyLog}\left(3,\frac{b (d+e x)}{b d-a e}\right) a^2}{2 b^2}-\frac{h n \text{PolyLog}(3,1-c (a+b x)) a^2}{2 b^2}-\frac{h n \text{PolyLog}\left(3,-\frac{e (1-c (a+b x))}{b c (d+e x)}\right) a^2}{2 b^2}+\frac{h n \text{PolyLog}\left(3,\frac{(b d-a e) (1-c (a+b x))}{b (d+e x)}\right) a^2}{2 b^2}+\frac{g x a}{2 b}-\frac{5 h n x a}{4 b}-\frac{3 h n (-a c-b x c+1) \log (-a c-b x c+1) a}{4 b^2 c}-\frac{d h n \log (-a c-b x c+1) \log \left(\frac{b c (d+e x)}{b c d-a c e+e}\right) a}{2 b e}+\frac{h (d+e x) \log \left(f (d+e x)^n\right) a}{2 b e}-\frac{x \log (-a c-b x c+1) \left(g+h \log \left(f (d+e x)^n\right)\right) a}{2 b}+\frac{(1-a c) \log \left(\frac{e (-a c-b x c+1)}{b c d-a c e+e}\right) \left(g+h \log \left(f (d+e x)^n\right)\right) a}{2 b^2 c}+\frac{d h n \text{PolyLog}(2,c (a+b x)) a}{2 b e}-\frac{d h n \text{PolyLog}\left(2,\frac{e (-a c-b x c+1)}{b c d-a c e+e}\right) a}{2 b e}+\frac{(1-a c) h n \text{PolyLog}\left(2,\frac{b c (d+e x)}{b c d-a c e+e}\right) a}{2 b^2 c}+\frac{3}{16} h n x^2-\frac{d^2 h n \left(\log (c (a+b x))+\log \left(\frac{b c d-a c e+e}{b c (d+e x)}\right)-\log \left(\frac{(b c d-a c e+e) (a+b x)}{b (d+e x)}\right)\right) \log ^2\left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)}{4 e^2}+\frac{d^2 h n \left(\log (c (a+b x))-\log \left(-\frac{e (a+b x)}{b d-a e}\right)\right) \left(\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)+\log (1-c (a+b x))\right)^2}{4 e^2}-\frac{(1-a c) g x}{4 b c}+\frac{(1-a c) h n x}{2 b c}-\frac{7 d h n x}{8 e}-\frac{1}{4} h n x^2 \log (-a c-b x c+1)+\frac{(1-a c)^2 h n \log (-a c-b x c+1)}{4 b^2 c^2}-\frac{3 d h n (-a c-b x c+1) \log (-a c-b x c+1)}{4 b c e}+\frac{d^2 h n \log (d+e x)}{8 e^2}-\frac{d^2 h n \log (-a c-b x c+1) \log \left(\frac{b c (d+e x)}{b c d-a c e+e}\right)}{4 e^2}-\frac{(1-a c) h (d+e x) \log \left(f (d+e x)^n\right)}{4 b c e}-\frac{1}{8} x^2 \left(g+h \log \left(f (d+e x)^n\right)\right)+\frac{1}{4} x^2 \log (-a c-b x c+1) \left(g+h \log \left(f (d+e x)^n\right)\right)-\frac{(1-a c)^2 \log \left(\frac{e (-a c-b x c+1)}{b c d-a c e+e}\right) \left(g+h \log \left(f (d+e x)^n\right)\right)}{4 b^2 c^2}-\frac{d^2 h n \log (c (a+b x)) \log (d+e x) \log (1-c (a+b x))}{2 e^2}-\frac{1}{4} h n x^2 \text{PolyLog}(2,c (a+b x))+\frac{d h n x \text{PolyLog}(2,c (a+b x))}{2 e}-\frac{d^2 h n \log (d+e x) \text{PolyLog}(2,c (a+b x))}{2 e^2}+\frac{1}{2} x^2 \left(g+h \log \left(f (d+e x)^n\right)\right) \text{PolyLog}(2,c (a+b x))-\frac{d^2 h n \text{PolyLog}\left(2,\frac{e (-a c-b x c+1)}{b c d-a c e+e}\right)}{4 e^2}-\frac{d^2 h n \left(\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)+\log (1-c (a+b x))\right) \text{PolyLog}\left(2,\frac{b (d+e x)}{b d-a e}\right)}{2 e^2}-\frac{(1-a c)^2 h n \text{PolyLog}\left(2,\frac{b c (d+e x)}{b c d-a c e+e}\right)}{4 b^2 c^2}-\frac{d^2 h n \left(\log (d+e x)-\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)\right) \text{PolyLog}(2,1-c (a+b x))}{2 e^2}+\frac{d^2 h n \log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) \text{PolyLog}\left(2,-\frac{e (1-c (a+b x))}{b c (d+e x)}\right)}{2 e^2}-\frac{d^2 h n \log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) \text{PolyLog}\left(2,\frac{(b d-a e) (1-c (a+b x))}{b (d+e x)}\right)}{2 e^2}+\frac{d^2 h n \text{PolyLog}\left(3,\frac{b (d+e x)}{b d-a e}\right)}{2 e^2}+\frac{d^2 h n \text{PolyLog}(3,1-c (a+b x))}{2 e^2}+\frac{d^2 h n \text{PolyLog}\left(3,-\frac{e (1-c (a+b x))}{b c (d+e x)}\right)}{2 e^2}-\frac{d^2 h n \text{PolyLog}\left(3,\frac{(b d-a e) (1-c (a+b x))}{b (d+e x)}\right)}{2 e^2}",1,"(a*g*x)/(2*b) - ((1 - a*c)*g*x)/(4*b*c) - (5*a*h*n*x)/(4*b) + ((1 - a*c)*h*n*x)/(2*b*c) - (7*d*h*n*x)/(8*e) + (3*h*n*x^2)/16 + ((1 - a*c)^2*h*n*Log[1 - a*c - b*c*x])/(4*b^2*c^2) - (h*n*x^2*Log[1 - a*c - b*c*x])/4 - (3*a*h*n*(1 - a*c - b*c*x)*Log[1 - a*c - b*c*x])/(4*b^2*c) - (3*d*h*n*(1 - a*c - b*c*x)*Log[1 - a*c - b*c*x])/(4*b*c*e) + (d^2*h*n*Log[d + e*x])/(8*e^2) - (d^2*h*n*Log[1 - a*c - b*c*x]*Log[(b*c*(d + e*x))/(b*c*d + e - a*c*e)])/(4*e^2) - (a*d*h*n*Log[1 - a*c - b*c*x]*Log[(b*c*(d + e*x))/(b*c*d + e - a*c*e)])/(2*b*e) + (a*h*(d + e*x)*Log[f*(d + e*x)^n])/(2*b*e) - ((1 - a*c)*h*(d + e*x)*Log[f*(d + e*x)^n])/(4*b*c*e) - (x^2*(g + h*Log[f*(d + e*x)^n]))/8 - (a*x*Log[1 - a*c - b*c*x]*(g + h*Log[f*(d + e*x)^n]))/(2*b) + (x^2*Log[1 - a*c - b*c*x]*(g + h*Log[f*(d + e*x)^n]))/4 + (a*(1 - a*c)*Log[(e*(1 - a*c - b*c*x))/(b*c*d + e - a*c*e)]*(g + h*Log[f*(d + e*x)^n]))/(2*b^2*c) - ((1 - a*c)^2*Log[(e*(1 - a*c - b*c*x))/(b*c*d + e - a*c*e)]*(g + h*Log[f*(d + e*x)^n]))/(4*b^2*c^2) + (a^2*h*n*(Log[c*(a + b*x)] + Log[(b*c*d + e - a*c*e)/(b*c*(d + e*x))] - Log[((b*c*d + e - a*c*e)*(a + b*x))/(b*(d + e*x))])*Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))]^2)/(4*b^2) - (d^2*h*n*(Log[c*(a + b*x)] + Log[(b*c*d + e - a*c*e)/(b*c*(d + e*x))] - Log[((b*c*d + e - a*c*e)*(a + b*x))/(b*(d + e*x))])*Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))]^2)/(4*e^2) + (a^2*h*n*Log[c*(a + b*x)]*Log[d + e*x]*Log[1 - c*(a + b*x)])/(2*b^2) - (d^2*h*n*Log[c*(a + b*x)]*Log[d + e*x]*Log[1 - c*(a + b*x)])/(2*e^2) - (a^2*h*n*(Log[c*(a + b*x)] - Log[-((e*(a + b*x))/(b*d - a*e))])*(Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))] + Log[1 - c*(a + b*x)])^2)/(4*b^2) + (d^2*h*n*(Log[c*(a + b*x)] - Log[-((e*(a + b*x))/(b*d - a*e))])*(Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))] + Log[1 - c*(a + b*x)])^2)/(4*e^2) - (a^2*g*PolyLog[2, c*(a + b*x)])/(2*b^2) + (a^2*h*n*PolyLog[2, c*(a + b*x)])/(4*b^2) + (a*d*h*n*PolyLog[2, c*(a + b*x)])/(2*b*e) + (d*h*n*x*PolyLog[2, c*(a + b*x)])/(2*e) - (h*n*x^2*PolyLog[2, c*(a + b*x)])/4 - (d^2*h*n*Log[d + e*x]*PolyLog[2, c*(a + b*x)])/(2*e^2) + (a^2*h*(n*Log[d + e*x] - Log[f*(d + e*x)^n])*PolyLog[2, c*(a + b*x)])/(2*b^2) + (x^2*(g + h*Log[f*(d + e*x)^n])*PolyLog[2, c*(a + b*x)])/2 - (d^2*h*n*PolyLog[2, (e*(1 - a*c - b*c*x))/(b*c*d + e - a*c*e)])/(4*e^2) - (a*d*h*n*PolyLog[2, (e*(1 - a*c - b*c*x))/(b*c*d + e - a*c*e)])/(2*b*e) + (a^2*h*n*(Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))] + Log[1 - c*(a + b*x)])*PolyLog[2, (b*(d + e*x))/(b*d - a*e)])/(2*b^2) - (d^2*h*n*(Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))] + Log[1 - c*(a + b*x)])*PolyLog[2, (b*(d + e*x))/(b*d - a*e)])/(2*e^2) + (a*(1 - a*c)*h*n*PolyLog[2, (b*c*(d + e*x))/(b*c*d + e - a*c*e)])/(2*b^2*c) - ((1 - a*c)^2*h*n*PolyLog[2, (b*c*(d + e*x))/(b*c*d + e - a*c*e)])/(4*b^2*c^2) + (a^2*h*n*(Log[d + e*x] - Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))])*PolyLog[2, 1 - c*(a + b*x)])/(2*b^2) - (d^2*h*n*(Log[d + e*x] - Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))])*PolyLog[2, 1 - c*(a + b*x)])/(2*e^2) - (a^2*h*n*Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))]*PolyLog[2, -((e*(1 - c*(a + b*x)))/(b*c*(d + e*x)))])/(2*b^2) + (d^2*h*n*Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))]*PolyLog[2, -((e*(1 - c*(a + b*x)))/(b*c*(d + e*x)))])/(2*e^2) + (a^2*h*n*Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))]*PolyLog[2, ((b*d - a*e)*(1 - c*(a + b*x)))/(b*(d + e*x))])/(2*b^2) - (d^2*h*n*Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))]*PolyLog[2, ((b*d - a*e)*(1 - c*(a + b*x)))/(b*(d + e*x))])/(2*e^2) - (a^2*h*n*PolyLog[3, (b*(d + e*x))/(b*d - a*e)])/(2*b^2) + (d^2*h*n*PolyLog[3, (b*(d + e*x))/(b*d - a*e)])/(2*e^2) - (a^2*h*n*PolyLog[3, 1 - c*(a + b*x)])/(2*b^2) + (d^2*h*n*PolyLog[3, 1 - c*(a + b*x)])/(2*e^2) - (a^2*h*n*PolyLog[3, -((e*(1 - c*(a + b*x)))/(b*c*(d + e*x)))])/(2*b^2) + (d^2*h*n*PolyLog[3, -((e*(1 - c*(a + b*x)))/(b*c*(d + e*x)))])/(2*e^2) + (a^2*h*n*PolyLog[3, ((b*d - a*e)*(1 - c*(a + b*x)))/(b*(d + e*x))])/(2*b^2) - (d^2*h*n*PolyLog[3, ((b*d - a*e)*(1 - c*(a + b*x)))/(b*(d + e*x))])/(2*e^2)","A",67,20,25,0.8000,1,"{6603, 2430, 43, 2416, 2389, 2295, 2394, 2393, 2391, 2439, 2395, 2440, 2438, 2437, 2435, 6595, 2444, 2421, 6598, 6597}"
179,1,1653,0,3.1859176,"\int \left(g+h \log \left(f (d+e x)^n\right)\right) \text{PolyLog}(2,c (a+b x)) \, dx","Int[(g + h*Log[f*(d + e*x)^n])*PolyLog[2, c*(a + b*x)],x]","\frac{d h n \left(\log (c (a+b x))+\log \left(\frac{b c d-a c e+e}{b c (d+e x)}\right)-\log \left(\frac{(b c d-a c e+e) (a+b x)}{b (d+e x)}\right)\right) \log ^2\left(\frac{b (d+e x)}{(b d-a e) (-a c-b x c+1)}\right)}{2 e}-\frac{d h n \text{PolyLog}\left(2,-\frac{e (-a c-b x c+1)}{b c (d+e x)}\right) \log \left(\frac{b (d+e x)}{(b d-a e) (-a c-b x c+1)}\right)}{e}+\frac{d h n \text{PolyLog}\left(2,\frac{(b d-a e) (-a c-b x c+1)}{b (d+e x)}\right) \log \left(\frac{b (d+e x)}{(b d-a e) (-a c-b x c+1)}\right)}{e}-\frac{d h n \left(\log (c (a+b x))-\log \left(-\frac{e (a+b x)}{b d-a e}\right)\right) \left(\log (-a c-b x c+1)+\log \left(\frac{b (d+e x)}{(b d-a e) (-a c-b x c+1)}\right)\right)^2}{2 e}-\frac{a h n \left(\log (c (a+b x))+\log \left(\frac{b c d-a c e+e}{b c (d+e x)}\right)-\log \left(\frac{(b c d-a c e+e) (a+b x)}{b (d+e x)}\right)\right) \log ^2\left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)}{2 b}+\frac{a h n \left(\log (c (a+b x))-\log \left(-\frac{e (a+b x)}{b d-a e}\right)\right) \left(\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)+\log (1-c (a+b x))\right)^2}{2 b}-g x+3 h n x-\frac{g (-a c-b x c+1) \log (-a c-b x c+1)}{b c}+\frac{2 h n (-a c-b x c+1) \log (-a c-b x c+1)}{b c}+\frac{d h n \log (c (a+b x)) \log (-a c-b x c+1) \log (-d-e x)}{e}+\frac{d h n \log (-a c-b x c+1) \log \left(\frac{b c (d+e x)}{b c d-a c e+e}\right)}{e}-\frac{h (d+e x) \log \left(f (d+e x)^n\right)}{e}+h x \log (-a c-b x c+1) \log \left(f (d+e x)^n\right)-\frac{(1-a c) h \log \left(\frac{e (-a c-b x c+1)}{b c d-a c e+e}\right) \log \left(f (d+e x)^n\right)}{b c}-\frac{a h n \log (c (a+b x)) \log (d+e x) \log (1-c (a+b x))}{b}+\frac{a g \text{PolyLog}(2,c (a+b x))}{b}-\frac{a h n \text{PolyLog}(2,c (a+b x))}{b}-\frac{a h \left(n \log (d+e x)-\log \left(f (d+e x)^n\right)\right) \text{PolyLog}(2,c (a+b x))}{b}+x \left(g+h \log \left(f (d+e x)^n\right)\right) \text{PolyLog}(2,c (a+b x))+\frac{d h n \left(\log (-d-e x)-\log \left(\frac{b (d+e x)}{(b d-a e) (-a c-b x c+1)}\right)\right) \text{PolyLog}(2,-a c-b x c+1)}{e}+\frac{d h n \text{PolyLog}\left(2,\frac{e (-a c-b x c+1)}{b c d-a c e+e}\right)}{e}-h n x \text{PolyLog}(2,a c+b x c)+\frac{d h n \log (-d-e x) \text{PolyLog}(2,a c+b x c)}{e}+\frac{d h n \left(\log (-a c-b x c+1)+\log \left(\frac{b (d+e x)}{(b d-a e) (-a c-b x c+1)}\right)\right) \text{PolyLog}\left(2,\frac{b (d+e x)}{b d-a e}\right)}{e}-\frac{a h n \left(\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)+\log (1-c (a+b x))\right) \text{PolyLog}\left(2,\frac{b (d+e x)}{b d-a e}\right)}{b}-\frac{(1-a c) h n \text{PolyLog}\left(2,\frac{b c (d+e x)}{b c d-a c e+e}\right)}{b c}-\frac{a h n \left(\log (d+e x)-\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)\right) \text{PolyLog}(2,1-c (a+b x))}{b}+\frac{a h n \log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) \text{PolyLog}\left(2,-\frac{e (1-c (a+b x))}{b c (d+e x)}\right)}{b}-\frac{a h n \log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) \text{PolyLog}\left(2,\frac{(b d-a e) (1-c (a+b x))}{b (d+e x)}\right)}{b}-\frac{d h n \text{PolyLog}(3,-a c-b x c+1)}{e}-\frac{d h n \text{PolyLog}\left(3,-\frac{e (-a c-b x c+1)}{b c (d+e x)}\right)}{e}+\frac{d h n \text{PolyLog}\left(3,\frac{(b d-a e) (-a c-b x c+1)}{b (d+e x)}\right)}{e}+\frac{a h n \text{PolyLog}\left(3,\frac{b (d+e x)}{b d-a e}\right)}{b}-\frac{d h n \text{PolyLog}\left(3,\frac{b (d+e x)}{b d-a e}\right)}{e}+\frac{a h n \text{PolyLog}(3,1-c (a+b x))}{b}+\frac{a h n \text{PolyLog}\left(3,-\frac{e (1-c (a+b x))}{b c (d+e x)}\right)}{b}-\frac{a h n \text{PolyLog}\left(3,\frac{(b d-a e) (1-c (a+b x))}{b (d+e x)}\right)}{b}","\frac{d h n \left(\log (c (a+b x))+\log \left(\frac{b c d-a c e+e}{b c (d+e x)}\right)-\log \left(\frac{(b c d-a c e+e) (a+b x)}{b (d+e x)}\right)\right) \log ^2\left(\frac{b (d+e x)}{(b d-a e) (-a c-b x c+1)}\right)}{2 e}-\frac{d h n \text{PolyLog}\left(2,-\frac{e (-a c-b x c+1)}{b c (d+e x)}\right) \log \left(\frac{b (d+e x)}{(b d-a e) (-a c-b x c+1)}\right)}{e}+\frac{d h n \text{PolyLog}\left(2,\frac{(b d-a e) (-a c-b x c+1)}{b (d+e x)}\right) \log \left(\frac{b (d+e x)}{(b d-a e) (-a c-b x c+1)}\right)}{e}-\frac{d h n \left(\log (c (a+b x))-\log \left(-\frac{e (a+b x)}{b d-a e}\right)\right) \left(\log (-a c-b x c+1)+\log \left(\frac{b (d+e x)}{(b d-a e) (-a c-b x c+1)}\right)\right)^2}{2 e}-\frac{a h n \left(\log (c (a+b x))+\log \left(\frac{b c d-a c e+e}{b c (d+e x)}\right)-\log \left(\frac{(b c d-a c e+e) (a+b x)}{b (d+e x)}\right)\right) \log ^2\left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)}{2 b}+\frac{a h n \left(\log (c (a+b x))-\log \left(-\frac{e (a+b x)}{b d-a e}\right)\right) \left(\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)+\log (1-c (a+b x))\right)^2}{2 b}-g x+3 h n x-\frac{g (-a c-b x c+1) \log (-a c-b x c+1)}{b c}+\frac{2 h n (-a c-b x c+1) \log (-a c-b x c+1)}{b c}+\frac{d h n \log (c (a+b x)) \log (-a c-b x c+1) \log (-d-e x)}{e}+\frac{d h n \log (-a c-b x c+1) \log \left(\frac{b c (d+e x)}{b c d-a c e+e}\right)}{e}-\frac{h (d+e x) \log \left(f (d+e x)^n\right)}{e}+h x \log (-a c-b x c+1) \log \left(f (d+e x)^n\right)-\frac{(1-a c) h \log \left(\frac{e (-a c-b x c+1)}{b c d-a c e+e}\right) \log \left(f (d+e x)^n\right)}{b c}-\frac{a h n \log (c (a+b x)) \log (d+e x) \log (1-c (a+b x))}{b}+\frac{a g \text{PolyLog}(2,c (a+b x))}{b}-\frac{a h n \text{PolyLog}(2,c (a+b x))}{b}-\frac{a h \left(n \log (d+e x)-\log \left(f (d+e x)^n\right)\right) \text{PolyLog}(2,c (a+b x))}{b}+x \left(g+h \log \left(f (d+e x)^n\right)\right) \text{PolyLog}(2,c (a+b x))+\frac{d h n \left(\log (-d-e x)-\log \left(\frac{b (d+e x)}{(b d-a e) (-a c-b x c+1)}\right)\right) \text{PolyLog}(2,-a c-b x c+1)}{e}+\frac{d h n \text{PolyLog}\left(2,\frac{e (-a c-b x c+1)}{b c d-a c e+e}\right)}{e}-h n x \text{PolyLog}(2,a c+b x c)+\frac{d h n \log (-d-e x) \text{PolyLog}(2,a c+b x c)}{e}+\frac{d h n \left(\log (-a c-b x c+1)+\log \left(\frac{b (d+e x)}{(b d-a e) (-a c-b x c+1)}\right)\right) \text{PolyLog}\left(2,\frac{b (d+e x)}{b d-a e}\right)}{e}-\frac{a h n \left(\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)+\log (1-c (a+b x))\right) \text{PolyLog}\left(2,\frac{b (d+e x)}{b d-a e}\right)}{b}-\frac{(1-a c) h n \text{PolyLog}\left(2,\frac{b c (d+e x)}{b c d-a c e+e}\right)}{b c}-\frac{a h n \left(\log (d+e x)-\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)\right) \text{PolyLog}(2,1-c (a+b x))}{b}+\frac{a h n \log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) \text{PolyLog}\left(2,-\frac{e (1-c (a+b x))}{b c (d+e x)}\right)}{b}-\frac{a h n \log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) \text{PolyLog}\left(2,\frac{(b d-a e) (1-c (a+b x))}{b (d+e x)}\right)}{b}-\frac{d h n \text{PolyLog}(3,-a c-b x c+1)}{e}-\frac{d h n \text{PolyLog}\left(3,-\frac{e (-a c-b x c+1)}{b c (d+e x)}\right)}{e}+\frac{d h n \text{PolyLog}\left(3,\frac{(b d-a e) (-a c-b x c+1)}{b (d+e x)}\right)}{e}+\frac{a h n \text{PolyLog}\left(3,\frac{b (d+e x)}{b d-a e}\right)}{b}-\frac{d h n \text{PolyLog}\left(3,\frac{b (d+e x)}{b d-a e}\right)}{e}+\frac{a h n \text{PolyLog}(3,1-c (a+b x))}{b}+\frac{a h n \text{PolyLog}\left(3,-\frac{e (1-c (a+b x))}{b c (d+e x)}\right)}{b}-\frac{a h n \text{PolyLog}\left(3,\frac{(b d-a e) (1-c (a+b x))}{b (d+e x)}\right)}{b}",1,"-(g*x) + 3*h*n*x - (g*(1 - a*c - b*c*x)*Log[1 - a*c - b*c*x])/(b*c) + (2*h*n*(1 - a*c - b*c*x)*Log[1 - a*c - b*c*x])/(b*c) + (d*h*n*Log[c*(a + b*x)]*Log[1 - a*c - b*c*x]*Log[-d - e*x])/e + (d*h*n*Log[1 - a*c - b*c*x]*Log[(b*c*(d + e*x))/(b*c*d + e - a*c*e)])/e + (d*h*n*(Log[c*(a + b*x)] + Log[(b*c*d + e - a*c*e)/(b*c*(d + e*x))] - Log[((b*c*d + e - a*c*e)*(a + b*x))/(b*(d + e*x))])*Log[(b*(d + e*x))/((b*d - a*e)*(1 - a*c - b*c*x))]^2)/(2*e) - (d*h*n*(Log[c*(a + b*x)] - Log[-((e*(a + b*x))/(b*d - a*e))])*(Log[1 - a*c - b*c*x] + Log[(b*(d + e*x))/((b*d - a*e)*(1 - a*c - b*c*x))])^2)/(2*e) - (h*(d + e*x)*Log[f*(d + e*x)^n])/e + h*x*Log[1 - a*c - b*c*x]*Log[f*(d + e*x)^n] - ((1 - a*c)*h*Log[(e*(1 - a*c - b*c*x))/(b*c*d + e - a*c*e)]*Log[f*(d + e*x)^n])/(b*c) - (a*h*n*(Log[c*(a + b*x)] + Log[(b*c*d + e - a*c*e)/(b*c*(d + e*x))] - Log[((b*c*d + e - a*c*e)*(a + b*x))/(b*(d + e*x))])*Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))]^2)/(2*b) - (a*h*n*Log[c*(a + b*x)]*Log[d + e*x]*Log[1 - c*(a + b*x)])/b + (a*h*n*(Log[c*(a + b*x)] - Log[-((e*(a + b*x))/(b*d - a*e))])*(Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))] + Log[1 - c*(a + b*x)])^2)/(2*b) + (a*g*PolyLog[2, c*(a + b*x)])/b - (a*h*n*PolyLog[2, c*(a + b*x)])/b - (a*h*(n*Log[d + e*x] - Log[f*(d + e*x)^n])*PolyLog[2, c*(a + b*x)])/b + x*(g + h*Log[f*(d + e*x)^n])*PolyLog[2, c*(a + b*x)] + (d*h*n*(Log[-d - e*x] - Log[(b*(d + e*x))/((b*d - a*e)*(1 - a*c - b*c*x))])*PolyLog[2, 1 - a*c - b*c*x])/e + (d*h*n*PolyLog[2, (e*(1 - a*c - b*c*x))/(b*c*d + e - a*c*e)])/e - h*n*x*PolyLog[2, a*c + b*c*x] + (d*h*n*Log[-d - e*x]*PolyLog[2, a*c + b*c*x])/e - (d*h*n*Log[(b*(d + e*x))/((b*d - a*e)*(1 - a*c - b*c*x))]*PolyLog[2, -((e*(1 - a*c - b*c*x))/(b*c*(d + e*x)))])/e + (d*h*n*Log[(b*(d + e*x))/((b*d - a*e)*(1 - a*c - b*c*x))]*PolyLog[2, ((b*d - a*e)*(1 - a*c - b*c*x))/(b*(d + e*x))])/e + (d*h*n*(Log[1 - a*c - b*c*x] + Log[(b*(d + e*x))/((b*d - a*e)*(1 - a*c - b*c*x))])*PolyLog[2, (b*(d + e*x))/(b*d - a*e)])/e - (a*h*n*(Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))] + Log[1 - c*(a + b*x)])*PolyLog[2, (b*(d + e*x))/(b*d - a*e)])/b - ((1 - a*c)*h*n*PolyLog[2, (b*c*(d + e*x))/(b*c*d + e - a*c*e)])/(b*c) - (a*h*n*(Log[d + e*x] - Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))])*PolyLog[2, 1 - c*(a + b*x)])/b + (a*h*n*Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))]*PolyLog[2, -((e*(1 - c*(a + b*x)))/(b*c*(d + e*x)))])/b - (a*h*n*Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))]*PolyLog[2, ((b*d - a*e)*(1 - c*(a + b*x)))/(b*(d + e*x))])/b - (d*h*n*PolyLog[3, 1 - a*c - b*c*x])/e - (d*h*n*PolyLog[3, -((e*(1 - a*c - b*c*x))/(b*c*(d + e*x)))])/e + (d*h*n*PolyLog[3, ((b*d - a*e)*(1 - a*c - b*c*x))/(b*(d + e*x))])/e + (a*h*n*PolyLog[3, (b*(d + e*x))/(b*d - a*e)])/b - (d*h*n*PolyLog[3, (b*(d + e*x))/(b*d - a*e)])/e + (a*h*n*PolyLog[3, 1 - c*(a + b*x)])/b + (a*h*n*PolyLog[3, -((e*(1 - c*(a + b*x)))/(b*c*(d + e*x)))])/b - (a*h*n*PolyLog[3, ((b*d - a*e)*(1 - c*(a + b*x)))/(b*(d + e*x))])/b","A",42,17,24,0.7083,1,"{6600, 2418, 2389, 2295, 2394, 2393, 2391, 6688, 43, 2416, 6742, 2430, 2440, 2437, 2435, 6595, 6597}"
180,0,0,0,0.0250694,"\int \frac{\left(g+h \log \left(f (d+e x)^n\right)\right) \text{PolyLog}(2,c (a+b x))}{x} \, dx","Int[((g + h*Log[f*(d + e*x)^n])*PolyLog[2, c*(a + b*x)])/x,x]","\int \frac{\left(g+h \log \left(f (d+e x)^n\right)\right) \text{PolyLog}(2,c (a+b x))}{x} \, dx","\text{Int}\left(\frac{\text{PolyLog}(2,c (a+b x)) \left(h \log \left(f (d+e x)^n\right)+g\right)}{x},x\right)",0,"Defer[Int][((g + h*Log[f*(d + e*x)^n])*PolyLog[2, c*(a + b*x)])/x, x]","A",0,0,0,0,-1,"{}"
181,1,2498,0,2.6674688,"\int \frac{\left(g+h \log \left(f (d+e x)^n\right)\right) \text{PolyLog}(2,c (a+b x))}{x^2} \, dx","Int[((g + h*Log[f*(d + e*x)^n])*PolyLog[2, c*(a + b*x)])/x^2,x]","-\frac{b h n \left(\log \left(\frac{b c x}{1-a c}\right)+\log \left(\frac{b c d-a c e+e}{b c (d+e x)}\right)-\log \left(\frac{(b c d-a c e+e) x}{(1-a c) (d+e x)}\right)\right) \log ^2\left(\frac{(1-a c) (d+e x)}{d (-a c-b x c+1)}\right)}{2 a}-\frac{b h n \text{PolyLog}\left(2,\frac{d (-a c-b x c+1)}{(1-a c) (d+e x)}\right) \log \left(\frac{(1-a c) (d+e x)}{d (-a c-b x c+1)}\right)}{a}+\frac{b h n \text{PolyLog}\left(2,-\frac{e (-a c-b x c+1)}{b c (d+e x)}\right) \log \left(\frac{(1-a c) (d+e x)}{d (-a c-b x c+1)}\right)}{a}+\frac{b h n \left(\log \left(\frac{b c x}{1-a c}\right)-\log \left(-\frac{e x}{d}\right)\right) \left(\log (-a c-b x c+1)+\log \left(\frac{(1-a c) (d+e x)}{d (-a c-b x c+1)}\right)\right)^2}{2 a}+\frac{b h n \left(\log (c (a+b x))+\log \left(\frac{b c d-a c e+e}{b c (d+e x)}\right)-\log \left(\frac{(b c d-a c e+e) (a+b x)}{b (d+e x)}\right)\right) \log ^2\left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)}{2 a}-\frac{e h n \left(\log (c (a+b x))+\log \left(\frac{b c d-a c e+e}{b c (d+e x)}\right)-\log \left(\frac{(b c d-a c e+e) (a+b x)}{b (d+e x)}\right)\right) \log ^2\left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)}{2 d}-\frac{b h n \left(\log (c (a+b x))-\log \left(-\frac{e (a+b x)}{b d-a e}\right)\right) \left(\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)+\log (1-c (a+b x))\right)^2}{2 a}+\frac{e h n \left(\log (c (a+b x))-\log \left(-\frac{e (a+b x)}{b d-a e}\right)\right) \left(\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)+\log (1-c (a+b x))\right)^2}{2 d}+\frac{e h n \left(\log \left(\frac{b x}{a}+1\right)+\log \left(\frac{1-a c}{1-c (a+b x)}\right)-\log \left(\frac{(1-a c) (a+b x)}{a (1-c (a+b x))}\right)\right) \log ^2\left(-\frac{a (1-c (a+b x))}{b x}\right)}{2 d}+\frac{e h n \left(\log (c (a+b x))-\log \left(\frac{b x}{a}+1\right)\right) \left(\log (x)+\log \left(-\frac{a (1-c (a+b x))}{b x}\right)\right)^2}{2 d}-\frac{b g \log \left(\frac{b c x}{1-a c}\right) \log (-a c-b x c+1)}{a}-\frac{b h n \log \left(\frac{b c x}{1-a c}\right) \log (-a c-b x c+1) \log (d+e x)}{a}+\frac{b h \log \left(\frac{b c x}{1-a c}\right) \log (-a c-b x c+1) \left(n \log (d+e x)-\log \left(f (d+e x)^n\right)\right)}{a}+\frac{e h n \log (x) \log \left(\frac{b x}{a}+1\right) \log (1-c (a+b x))}{d}+\frac{b h n \log (c (a+b x)) \log (d+e x) \log (1-c (a+b x))}{a}-\frac{e h n \log (c (a+b x)) \log (d+e x) \log (1-c (a+b x))}{d}+\frac{e h n \left(\log (1-c (a+b x))-\log \left(-\frac{a (1-c (a+b x))}{b x}\right)\right) \text{PolyLog}\left(2,-\frac{b x}{a}\right)}{d}-\frac{b g \text{PolyLog}(2,c (a+b x))}{a}+\frac{e h n \log (x) \text{PolyLog}(2,c (a+b x))}{d}-\frac{e h n \log (d+e x) \text{PolyLog}(2,c (a+b x))}{d}+\frac{b h \left(n \log (d+e x)-\log \left(f (d+e x)^n\right)\right) \text{PolyLog}(2,c (a+b x))}{a}-\frac{\left(g+h \log \left(f (d+e x)^n\right)\right) \text{PolyLog}(2,c (a+b x))}{x}-\frac{b g \text{PolyLog}\left(2,1-\frac{b c x}{1-a c}\right)}{a}-\frac{b h n \left(\log (d+e x)-\log \left(\frac{(1-a c) (d+e x)}{d (-a c-b x c+1)}\right)\right) \text{PolyLog}\left(2,1-\frac{b c x}{1-a c}\right)}{a}+\frac{b h \left(n \log (d+e x)-\log \left(f (d+e x)^n\right)\right) \text{PolyLog}\left(2,1-\frac{b c x}{1-a c}\right)}{a}+\frac{b h n \left(\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)+\log (1-c (a+b x))\right) \text{PolyLog}\left(2,\frac{b (d+e x)}{b d-a e}\right)}{a}-\frac{e h n \left(\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)+\log (1-c (a+b x))\right) \text{PolyLog}\left(2,\frac{b (d+e x)}{b d-a e}\right)}{d}-\frac{b h n \left(\log (-a c-b x c+1)+\log \left(\frac{(1-a c) (d+e x)}{d (-a c-b x c+1)}\right)\right) \text{PolyLog}\left(2,\frac{e x}{d}+1\right)}{a}+\frac{e h n \log \left(-\frac{a (1-c (a+b x))}{b x}\right) \text{PolyLog}\left(2,-\frac{b x}{a (1-c (a+b x))}\right)}{d}-\frac{e h n \log \left(-\frac{a (1-c (a+b x))}{b x}\right) \text{PolyLog}\left(2,-\frac{b c x}{1-c (a+b x)}\right)}{d}+\frac{b h n \left(\log (d+e x)-\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)\right) \text{PolyLog}(2,1-c (a+b x))}{a}-\frac{e h n \left(\log (d+e x)-\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)\right) \text{PolyLog}(2,1-c (a+b x))}{d}+\frac{e h n \left(\log (x)+\log \left(-\frac{a (1-c (a+b x))}{b x}\right)\right) \text{PolyLog}(2,1-c (a+b x))}{d}-\frac{b h n \log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) \text{PolyLog}\left(2,-\frac{e (1-c (a+b x))}{b c (d+e x)}\right)}{a}+\frac{e h n \log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) \text{PolyLog}\left(2,-\frac{e (1-c (a+b x))}{b c (d+e x)}\right)}{d}+\frac{b h n \log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) \text{PolyLog}\left(2,\frac{(b d-a e) (1-c (a+b x))}{b (d+e x)}\right)}{a}-\frac{e h n \log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) \text{PolyLog}\left(2,\frac{(b d-a e) (1-c (a+b x))}{b (d+e x)}\right)}{d}-\frac{e h n \text{PolyLog}\left(3,-\frac{b x}{a}\right)}{d}+\frac{b h n \text{PolyLog}\left(3,1-\frac{b c x}{1-a c}\right)}{a}-\frac{b h n \text{PolyLog}\left(3,\frac{d (-a c-b x c+1)}{(1-a c) (d+e x)}\right)}{a}+\frac{b h n \text{PolyLog}\left(3,-\frac{e (-a c-b x c+1)}{b c (d+e x)}\right)}{a}-\frac{b h n \text{PolyLog}\left(3,\frac{b (d+e x)}{b d-a e}\right)}{a}+\frac{e h n \text{PolyLog}\left(3,\frac{b (d+e x)}{b d-a e}\right)}{d}+\frac{b h n \text{PolyLog}\left(3,\frac{e x}{d}+1\right)}{a}+\frac{e h n \text{PolyLog}\left(3,-\frac{b x}{a (1-c (a+b x))}\right)}{d}-\frac{e h n \text{PolyLog}\left(3,-\frac{b c x}{1-c (a+b x)}\right)}{d}-\frac{b h n \text{PolyLog}(3,1-c (a+b x))}{a}-\frac{b h n \text{PolyLog}\left(3,-\frac{e (1-c (a+b x))}{b c (d+e x)}\right)}{a}+\frac{e h n \text{PolyLog}\left(3,-\frac{e (1-c (a+b x))}{b c (d+e x)}\right)}{d}+\frac{b h n \text{PolyLog}\left(3,\frac{(b d-a e) (1-c (a+b x))}{b (d+e x)}\right)}{a}-\frac{e h n \text{PolyLog}\left(3,\frac{(b d-a e) (1-c (a+b x))}{b (d+e x)}\right)}{d}","-\frac{b h n \left(\log \left(\frac{b c x}{1-a c}\right)+\log \left(\frac{b c d-a c e+e}{b c (d+e x)}\right)-\log \left(\frac{(b c d-a c e+e) x}{(1-a c) (d+e x)}\right)\right) \log ^2\left(\frac{(1-a c) (d+e x)}{d (-a c-b x c+1)}\right)}{2 a}-\frac{b h n \text{PolyLog}\left(2,\frac{d (-a c-b x c+1)}{(1-a c) (d+e x)}\right) \log \left(\frac{(1-a c) (d+e x)}{d (-a c-b x c+1)}\right)}{a}+\frac{b h n \text{PolyLog}\left(2,-\frac{e (-a c-b x c+1)}{b c (d+e x)}\right) \log \left(\frac{(1-a c) (d+e x)}{d (-a c-b x c+1)}\right)}{a}+\frac{b h n \left(\log \left(\frac{b c x}{1-a c}\right)-\log \left(-\frac{e x}{d}\right)\right) \left(\log (-a c-b x c+1)+\log \left(\frac{(1-a c) (d+e x)}{d (-a c-b x c+1)}\right)\right)^2}{2 a}+\frac{b h n \left(\log (c (a+b x))+\log \left(\frac{b c d-a c e+e}{b c (d+e x)}\right)-\log \left(\frac{(b c d-a c e+e) (a+b x)}{b (d+e x)}\right)\right) \log ^2\left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)}{2 a}-\frac{e h n \left(\log (c (a+b x))+\log \left(\frac{b c d-a c e+e}{b c (d+e x)}\right)-\log \left(\frac{(b c d-a c e+e) (a+b x)}{b (d+e x)}\right)\right) \log ^2\left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)}{2 d}-\frac{b h n \left(\log (c (a+b x))-\log \left(-\frac{e (a+b x)}{b d-a e}\right)\right) \left(\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)+\log (1-c (a+b x))\right)^2}{2 a}+\frac{e h n \left(\log (c (a+b x))-\log \left(-\frac{e (a+b x)}{b d-a e}\right)\right) \left(\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)+\log (1-c (a+b x))\right)^2}{2 d}+\frac{e h n \left(\log \left(\frac{b x}{a}+1\right)+\log \left(\frac{1-a c}{1-c (a+b x)}\right)-\log \left(\frac{(1-a c) (a+b x)}{a (1-c (a+b x))}\right)\right) \log ^2\left(-\frac{a (1-c (a+b x))}{b x}\right)}{2 d}+\frac{e h n \left(\log (c (a+b x))-\log \left(\frac{b x}{a}+1\right)\right) \left(\log (x)+\log \left(-\frac{a (1-c (a+b x))}{b x}\right)\right)^2}{2 d}-\frac{b g \log \left(\frac{b c x}{1-a c}\right) \log (-a c-b x c+1)}{a}-\frac{b h n \log \left(\frac{b c x}{1-a c}\right) \log (-a c-b x c+1) \log (d+e x)}{a}+\frac{b h \log \left(\frac{b c x}{1-a c}\right) \log (-a c-b x c+1) \left(n \log (d+e x)-\log \left(f (d+e x)^n\right)\right)}{a}+\frac{e h n \log (x) \log \left(\frac{b x}{a}+1\right) \log (1-c (a+b x))}{d}+\frac{b h n \log (c (a+b x)) \log (d+e x) \log (1-c (a+b x))}{a}-\frac{e h n \log (c (a+b x)) \log (d+e x) \log (1-c (a+b x))}{d}+\frac{e h n \left(\log (1-c (a+b x))-\log \left(-\frac{a (1-c (a+b x))}{b x}\right)\right) \text{PolyLog}\left(2,-\frac{b x}{a}\right)}{d}-\frac{b g \text{PolyLog}(2,c (a+b x))}{a}+\frac{e h n \log (x) \text{PolyLog}(2,c (a+b x))}{d}-\frac{e h n \log (d+e x) \text{PolyLog}(2,c (a+b x))}{d}+\frac{b h \left(n \log (d+e x)-\log \left(f (d+e x)^n\right)\right) \text{PolyLog}(2,c (a+b x))}{a}-\frac{\left(g+h \log \left(f (d+e x)^n\right)\right) \text{PolyLog}(2,c (a+b x))}{x}-\frac{b g \text{PolyLog}\left(2,1-\frac{b c x}{1-a c}\right)}{a}-\frac{b h n \left(\log (d+e x)-\log \left(\frac{(1-a c) (d+e x)}{d (-a c-b x c+1)}\right)\right) \text{PolyLog}\left(2,1-\frac{b c x}{1-a c}\right)}{a}+\frac{b h \left(n \log (d+e x)-\log \left(f (d+e x)^n\right)\right) \text{PolyLog}\left(2,1-\frac{b c x}{1-a c}\right)}{a}+\frac{b h n \left(\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)+\log (1-c (a+b x))\right) \text{PolyLog}\left(2,\frac{b (d+e x)}{b d-a e}\right)}{a}-\frac{e h n \left(\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)+\log (1-c (a+b x))\right) \text{PolyLog}\left(2,\frac{b (d+e x)}{b d-a e}\right)}{d}-\frac{b h n \left(\log (-a c-b x c+1)+\log \left(\frac{(1-a c) (d+e x)}{d (-a c-b x c+1)}\right)\right) \text{PolyLog}\left(2,\frac{e x}{d}+1\right)}{a}+\frac{e h n \log \left(-\frac{a (1-c (a+b x))}{b x}\right) \text{PolyLog}\left(2,-\frac{b x}{a (1-c (a+b x))}\right)}{d}-\frac{e h n \log \left(-\frac{a (1-c (a+b x))}{b x}\right) \text{PolyLog}\left(2,-\frac{b c x}{1-c (a+b x)}\right)}{d}+\frac{b h n \left(\log (d+e x)-\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)\right) \text{PolyLog}(2,1-c (a+b x))}{a}-\frac{e h n \left(\log (d+e x)-\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)\right) \text{PolyLog}(2,1-c (a+b x))}{d}+\frac{e h n \left(\log (x)+\log \left(-\frac{a (1-c (a+b x))}{b x}\right)\right) \text{PolyLog}(2,1-c (a+b x))}{d}-\frac{b h n \log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) \text{PolyLog}\left(2,-\frac{e (1-c (a+b x))}{b c (d+e x)}\right)}{a}+\frac{e h n \log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) \text{PolyLog}\left(2,-\frac{e (1-c (a+b x))}{b c (d+e x)}\right)}{d}+\frac{b h n \log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) \text{PolyLog}\left(2,\frac{(b d-a e) (1-c (a+b x))}{b (d+e x)}\right)}{a}-\frac{e h n \log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) \text{PolyLog}\left(2,\frac{(b d-a e) (1-c (a+b x))}{b (d+e x)}\right)}{d}-\frac{e h n \text{PolyLog}\left(3,-\frac{b x}{a}\right)}{d}+\frac{b h n \text{PolyLog}\left(3,1-\frac{b c x}{1-a c}\right)}{a}-\frac{b h n \text{PolyLog}\left(3,\frac{d (-a c-b x c+1)}{(1-a c) (d+e x)}\right)}{a}+\frac{b h n \text{PolyLog}\left(3,-\frac{e (-a c-b x c+1)}{b c (d+e x)}\right)}{a}-\frac{b h n \text{PolyLog}\left(3,\frac{b (d+e x)}{b d-a e}\right)}{a}+\frac{e h n \text{PolyLog}\left(3,\frac{b (d+e x)}{b d-a e}\right)}{d}+\frac{b h n \text{PolyLog}\left(3,\frac{e x}{d}+1\right)}{a}+\frac{e h n \text{PolyLog}\left(3,-\frac{b x}{a (1-c (a+b x))}\right)}{d}-\frac{e h n \text{PolyLog}\left(3,-\frac{b c x}{1-c (a+b x)}\right)}{d}-\frac{b h n \text{PolyLog}(3,1-c (a+b x))}{a}-\frac{b h n \text{PolyLog}\left(3,-\frac{e (1-c (a+b x))}{b c (d+e x)}\right)}{a}+\frac{e h n \text{PolyLog}\left(3,-\frac{e (1-c (a+b x))}{b c (d+e x)}\right)}{d}+\frac{b h n \text{PolyLog}\left(3,\frac{(b d-a e) (1-c (a+b x))}{b (d+e x)}\right)}{a}-\frac{e h n \text{PolyLog}\left(3,\frac{(b d-a e) (1-c (a+b x))}{b (d+e x)}\right)}{d}",1,"-((b*g*Log[(b*c*x)/(1 - a*c)]*Log[1 - a*c - b*c*x])/a) - (b*h*n*Log[(b*c*x)/(1 - a*c)]*Log[1 - a*c - b*c*x]*Log[d + e*x])/a - (b*h*n*(Log[(b*c*x)/(1 - a*c)] + Log[(b*c*d + e - a*c*e)/(b*c*(d + e*x))] - Log[((b*c*d + e - a*c*e)*x)/((1 - a*c)*(d + e*x))])*Log[((1 - a*c)*(d + e*x))/(d*(1 - a*c - b*c*x))]^2)/(2*a) + (b*h*n*(Log[(b*c*x)/(1 - a*c)] - Log[-((e*x)/d)])*(Log[1 - a*c - b*c*x] + Log[((1 - a*c)*(d + e*x))/(d*(1 - a*c - b*c*x))])^2)/(2*a) + (b*h*Log[(b*c*x)/(1 - a*c)]*Log[1 - a*c - b*c*x]*(n*Log[d + e*x] - Log[f*(d + e*x)^n]))/a + (b*h*n*(Log[c*(a + b*x)] + Log[(b*c*d + e - a*c*e)/(b*c*(d + e*x))] - Log[((b*c*d + e - a*c*e)*(a + b*x))/(b*(d + e*x))])*Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))]^2)/(2*a) - (e*h*n*(Log[c*(a + b*x)] + Log[(b*c*d + e - a*c*e)/(b*c*(d + e*x))] - Log[((b*c*d + e - a*c*e)*(a + b*x))/(b*(d + e*x))])*Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))]^2)/(2*d) + (e*h*n*Log[x]*Log[1 + (b*x)/a]*Log[1 - c*(a + b*x)])/d + (b*h*n*Log[c*(a + b*x)]*Log[d + e*x]*Log[1 - c*(a + b*x)])/a - (e*h*n*Log[c*(a + b*x)]*Log[d + e*x]*Log[1 - c*(a + b*x)])/d - (b*h*n*(Log[c*(a + b*x)] - Log[-((e*(a + b*x))/(b*d - a*e))])*(Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))] + Log[1 - c*(a + b*x)])^2)/(2*a) + (e*h*n*(Log[c*(a + b*x)] - Log[-((e*(a + b*x))/(b*d - a*e))])*(Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))] + Log[1 - c*(a + b*x)])^2)/(2*d) + (e*h*n*(Log[1 + (b*x)/a] + Log[(1 - a*c)/(1 - c*(a + b*x))] - Log[((1 - a*c)*(a + b*x))/(a*(1 - c*(a + b*x)))])*Log[-((a*(1 - c*(a + b*x)))/(b*x))]^2)/(2*d) + (e*h*n*(Log[c*(a + b*x)] - Log[1 + (b*x)/a])*(Log[x] + Log[-((a*(1 - c*(a + b*x)))/(b*x))])^2)/(2*d) + (e*h*n*(Log[1 - c*(a + b*x)] - Log[-((a*(1 - c*(a + b*x)))/(b*x))])*PolyLog[2, -((b*x)/a)])/d - (b*g*PolyLog[2, c*(a + b*x)])/a + (e*h*n*Log[x]*PolyLog[2, c*(a + b*x)])/d - (e*h*n*Log[d + e*x]*PolyLog[2, c*(a + b*x)])/d + (b*h*(n*Log[d + e*x] - Log[f*(d + e*x)^n])*PolyLog[2, c*(a + b*x)])/a - ((g + h*Log[f*(d + e*x)^n])*PolyLog[2, c*(a + b*x)])/x - (b*g*PolyLog[2, 1 - (b*c*x)/(1 - a*c)])/a - (b*h*n*(Log[d + e*x] - Log[((1 - a*c)*(d + e*x))/(d*(1 - a*c - b*c*x))])*PolyLog[2, 1 - (b*c*x)/(1 - a*c)])/a + (b*h*(n*Log[d + e*x] - Log[f*(d + e*x)^n])*PolyLog[2, 1 - (b*c*x)/(1 - a*c)])/a - (b*h*n*Log[((1 - a*c)*(d + e*x))/(d*(1 - a*c - b*c*x))]*PolyLog[2, (d*(1 - a*c - b*c*x))/((1 - a*c)*(d + e*x))])/a + (b*h*n*Log[((1 - a*c)*(d + e*x))/(d*(1 - a*c - b*c*x))]*PolyLog[2, -((e*(1 - a*c - b*c*x))/(b*c*(d + e*x)))])/a + (b*h*n*(Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))] + Log[1 - c*(a + b*x)])*PolyLog[2, (b*(d + e*x))/(b*d - a*e)])/a - (e*h*n*(Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))] + Log[1 - c*(a + b*x)])*PolyLog[2, (b*(d + e*x))/(b*d - a*e)])/d - (b*h*n*(Log[1 - a*c - b*c*x] + Log[((1 - a*c)*(d + e*x))/(d*(1 - a*c - b*c*x))])*PolyLog[2, 1 + (e*x)/d])/a + (e*h*n*Log[-((a*(1 - c*(a + b*x)))/(b*x))]*PolyLog[2, -((b*x)/(a*(1 - c*(a + b*x))))])/d - (e*h*n*Log[-((a*(1 - c*(a + b*x)))/(b*x))]*PolyLog[2, -((b*c*x)/(1 - c*(a + b*x)))])/d + (b*h*n*(Log[d + e*x] - Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))])*PolyLog[2, 1 - c*(a + b*x)])/a - (e*h*n*(Log[d + e*x] - Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))])*PolyLog[2, 1 - c*(a + b*x)])/d + (e*h*n*(Log[x] + Log[-((a*(1 - c*(a + b*x)))/(b*x))])*PolyLog[2, 1 - c*(a + b*x)])/d - (b*h*n*Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))]*PolyLog[2, -((e*(1 - c*(a + b*x)))/(b*c*(d + e*x)))])/a + (e*h*n*Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))]*PolyLog[2, -((e*(1 - c*(a + b*x)))/(b*c*(d + e*x)))])/d + (b*h*n*Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))]*PolyLog[2, ((b*d - a*e)*(1 - c*(a + b*x)))/(b*(d + e*x))])/a - (e*h*n*Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))]*PolyLog[2, ((b*d - a*e)*(1 - c*(a + b*x)))/(b*(d + e*x))])/d - (e*h*n*PolyLog[3, -((b*x)/a)])/d + (b*h*n*PolyLog[3, 1 - (b*c*x)/(1 - a*c)])/a - (b*h*n*PolyLog[3, (d*(1 - a*c - b*c*x))/((1 - a*c)*(d + e*x))])/a + (b*h*n*PolyLog[3, -((e*(1 - a*c - b*c*x))/(b*c*(d + e*x)))])/a - (b*h*n*PolyLog[3, (b*(d + e*x))/(b*d - a*e)])/a + (e*h*n*PolyLog[3, (b*(d + e*x))/(b*d - a*e)])/d + (b*h*n*PolyLog[3, 1 + (e*x)/d])/a + (e*h*n*PolyLog[3, -((b*x)/(a*(1 - c*(a + b*x))))])/d - (e*h*n*PolyLog[3, -((b*c*x)/(1 - c*(a + b*x)))])/d - (b*h*n*PolyLog[3, 1 - c*(a + b*x)])/a - (b*h*n*PolyLog[3, -((e*(1 - c*(a + b*x)))/(b*c*(d + e*x)))])/a + (e*h*n*PolyLog[3, -((e*(1 - c*(a + b*x)))/(b*c*(d + e*x)))])/d + (b*h*n*PolyLog[3, ((b*d - a*e)*(1 - c*(a + b*x)))/(b*(d + e*x))])/a - (e*h*n*PolyLog[3, ((b*d - a*e)*(1 - c*(a + b*x)))/(b*(d + e*x))])/d","A",22,9,27,0.3333,1,"{6603, 2438, 2394, 2315, 2437, 2435, 2440, 2391, 6597}"
182,1,3119,0,3.2382846,"\int \frac{\left(g+h \log \left(f (d+e x)^n\right)\right) \text{PolyLog}(2,c (a+b x))}{x^3} \, dx","Int[((g + h*Log[f*(d + e*x)^n])*PolyLog[2, c*(a + b*x)])/x^3,x]","\frac{h n \left(\log \left(\frac{b c x}{1-a c}\right)+\log \left(\frac{b c d-a c e+e}{b c (d+e x)}\right)-\log \left(\frac{(b c d-a c e+e) x}{(1-a c) (d+e x)}\right)\right) \log ^2\left(\frac{(1-a c) (d+e x)}{d (-a c-b x c+1)}\right) b^2}{4 a^2}-\frac{h n \left(\log \left(\frac{b c x}{1-a c}\right)-\log \left(-\frac{e x}{d}\right)\right) \left(\log (-a c-b x c+1)+\log \left(\frac{(1-a c) (d+e x)}{d (-a c-b x c+1)}\right)\right)^2 b^2}{4 a^2}-\frac{h n \left(\log (c (a+b x))+\log \left(\frac{b c d-a c e+e}{b c (d+e x)}\right)-\log \left(\frac{(b c d-a c e+e) (a+b x)}{b (d+e x)}\right)\right) \log ^2\left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) b^2}{4 a^2}+\frac{h n \left(\log (c (a+b x))-\log \left(-\frac{e (a+b x)}{b d-a e}\right)\right) \left(\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)+\log (1-c (a+b x))\right)^2 b^2}{4 a^2}+\frac{g \log \left(\frac{b c x}{1-a c}\right) \log (-a c-b x c+1) b^2}{2 a^2}+\frac{h n \log \left(\frac{b c x}{1-a c}\right) \log (-a c-b x c+1) \log (d+e x) b^2}{2 a^2}-\frac{h \log \left(\frac{b c x}{1-a c}\right) \log (-a c-b x c+1) \left(n \log (d+e x)-\log \left(f (d+e x)^n\right)\right) b^2}{2 a^2}+\frac{c \log \left(-\frac{e x}{d}\right) \left(g+h \log \left(f (d+e x)^n\right)\right) b^2}{2 a (1-a c)}-\frac{c \log \left(\frac{e (-a c-b x c+1)}{b c d-a c e+e}\right) \left(g+h \log \left(f (d+e x)^n\right)\right) b^2}{2 a (1-a c)}-\frac{h n \log (c (a+b x)) \log (d+e x) \log (1-c (a+b x)) b^2}{2 a^2}+\frac{g \text{PolyLog}(2,c (a+b x)) b^2}{2 a^2}-\frac{h \left(n \log (d+e x)-\log \left(f (d+e x)^n\right)\right) \text{PolyLog}(2,c (a+b x)) b^2}{2 a^2}+\frac{g \text{PolyLog}\left(2,1-\frac{b c x}{1-a c}\right) b^2}{2 a^2}+\frac{h n \left(\log (d+e x)-\log \left(\frac{(1-a c) (d+e x)}{d (-a c-b x c+1)}\right)\right) \text{PolyLog}\left(2,1-\frac{b c x}{1-a c}\right) b^2}{2 a^2}-\frac{h \left(n \log (d+e x)-\log \left(f (d+e x)^n\right)\right) \text{PolyLog}\left(2,1-\frac{b c x}{1-a c}\right) b^2}{2 a^2}+\frac{h n \log \left(\frac{(1-a c) (d+e x)}{d (-a c-b x c+1)}\right) \text{PolyLog}\left(2,\frac{d (-a c-b x c+1)}{(1-a c) (d+e x)}\right) b^2}{2 a^2}-\frac{h n \log \left(\frac{(1-a c) (d+e x)}{d (-a c-b x c+1)}\right) \text{PolyLog}\left(2,-\frac{e (-a c-b x c+1)}{b c (d+e x)}\right) b^2}{2 a^2}-\frac{h n \left(\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)+\log (1-c (a+b x))\right) \text{PolyLog}\left(2,\frac{b (d+e x)}{b d-a e}\right) b^2}{2 a^2}-\frac{c h n \text{PolyLog}\left(2,\frac{b c (d+e x)}{b c d-a c e+e}\right) b^2}{2 a (1-a c)}+\frac{c h n \text{PolyLog}\left(2,\frac{e x}{d}+1\right) b^2}{2 a (1-a c)}+\frac{h n \left(\log (-a c-b x c+1)+\log \left(\frac{(1-a c) (d+e x)}{d (-a c-b x c+1)}\right)\right) \text{PolyLog}\left(2,\frac{e x}{d}+1\right) b^2}{2 a^2}-\frac{h n \left(\log (d+e x)-\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)\right) \text{PolyLog}(2,1-c (a+b x)) b^2}{2 a^2}+\frac{h n \log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) \text{PolyLog}\left(2,-\frac{e (1-c (a+b x))}{b c (d+e x)}\right) b^2}{2 a^2}-\frac{h n \log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) \text{PolyLog}\left(2,\frac{(b d-a e) (1-c (a+b x))}{b (d+e x)}\right) b^2}{2 a^2}-\frac{h n \text{PolyLog}\left(3,1-\frac{b c x}{1-a c}\right) b^2}{2 a^2}+\frac{h n \text{PolyLog}\left(3,\frac{d (-a c-b x c+1)}{(1-a c) (d+e x)}\right) b^2}{2 a^2}-\frac{h n \text{PolyLog}\left(3,-\frac{e (-a c-b x c+1)}{b c (d+e x)}\right) b^2}{2 a^2}+\frac{h n \text{PolyLog}\left(3,\frac{b (d+e x)}{b d-a e}\right) b^2}{2 a^2}-\frac{h n \text{PolyLog}\left(3,\frac{e x}{d}+1\right) b^2}{2 a^2}+\frac{h n \text{PolyLog}(3,1-c (a+b x)) b^2}{2 a^2}+\frac{h n \text{PolyLog}\left(3,-\frac{e (1-c (a+b x))}{b c (d+e x)}\right) b^2}{2 a^2}-\frac{h n \text{PolyLog}\left(3,\frac{(b d-a e) (1-c (a+b x))}{b (d+e x)}\right) b^2}{2 a^2}-\frac{e h n \log \left(\frac{b c x}{1-a c}\right) \log (-a c-b x c+1) b}{a d}+\frac{e h n \log (-a c-b x c+1) \log \left(\frac{b c (d+e x)}{b c d-a c e+e}\right) b}{2 a d}+\frac{\log (-a c-b x c+1) \left(g+h \log \left(f (d+e x)^n\right)\right) b}{2 a x}-\frac{e h n \text{PolyLog}(2,c (a+b x)) b}{2 a d}+\frac{e h n \text{PolyLog}\left(2,\frac{e (-a c-b x c+1)}{b c d-a c e+e}\right) b}{2 a d}-\frac{e h n \text{PolyLog}\left(2,1-\frac{b c x}{1-a c}\right) b}{a d}+\frac{e^2 h n \left(\log (c (a+b x))+\log \left(\frac{b c d-a c e+e}{b c (d+e x)}\right)-\log \left(\frac{(b c d-a c e+e) (a+b x)}{b (d+e x)}\right)\right) \log ^2\left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)}{4 d^2}-\frac{e^2 h n \left(\log (c (a+b x))-\log \left(-\frac{e (a+b x)}{b d-a e}\right)\right) \left(\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)+\log (1-c (a+b x))\right)^2}{4 d^2}-\frac{e^2 h n \left(\log \left(\frac{b x}{a}+1\right)+\log \left(\frac{1-a c}{1-c (a+b x)}\right)-\log \left(\frac{(1-a c) (a+b x)}{a (1-c (a+b x))}\right)\right) \log ^2\left(-\frac{a (1-c (a+b x))}{b x}\right)}{4 d^2}-\frac{e^2 h n \left(\log (c (a+b x))-\log \left(\frac{b x}{a}+1\right)\right) \left(\log (x)+\log \left(-\frac{a (1-c (a+b x))}{b x}\right)\right)^2}{4 d^2}-\frac{e^2 h n \log (x) \log \left(\frac{b x}{a}+1\right) \log (1-c (a+b x))}{2 d^2}+\frac{e^2 h n \log (c (a+b x)) \log (d+e x) \log (1-c (a+b x))}{2 d^2}-\frac{e^2 h n \left(\log (1-c (a+b x))-\log \left(-\frac{a (1-c (a+b x))}{b x}\right)\right) \text{PolyLog}\left(2,-\frac{b x}{a}\right)}{2 d^2}-\frac{e^2 h n \log (x) \text{PolyLog}(2,c (a+b x))}{2 d^2}+\frac{e^2 h n \log (d+e x) \text{PolyLog}(2,c (a+b x))}{2 d^2}-\frac{\left(g+h \log \left(f (d+e x)^n\right)\right) \text{PolyLog}(2,c (a+b x))}{2 x^2}-\frac{e h n \text{PolyLog}(2,c (a+b x))}{2 d x}+\frac{e^2 h n \left(\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)+\log (1-c (a+b x))\right) \text{PolyLog}\left(2,\frac{b (d+e x)}{b d-a e}\right)}{2 d^2}-\frac{e^2 h n \log \left(-\frac{a (1-c (a+b x))}{b x}\right) \text{PolyLog}\left(2,-\frac{b x}{a (1-c (a+b x))}\right)}{2 d^2}+\frac{e^2 h n \log \left(-\frac{a (1-c (a+b x))}{b x}\right) \text{PolyLog}\left(2,-\frac{b c x}{1-c (a+b x)}\right)}{2 d^2}+\frac{e^2 h n \left(\log (d+e x)-\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)\right) \text{PolyLog}(2,1-c (a+b x))}{2 d^2}-\frac{e^2 h n \left(\log (x)+\log \left(-\frac{a (1-c (a+b x))}{b x}\right)\right) \text{PolyLog}(2,1-c (a+b x))}{2 d^2}-\frac{e^2 h n \log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) \text{PolyLog}\left(2,-\frac{e (1-c (a+b x))}{b c (d+e x)}\right)}{2 d^2}+\frac{e^2 h n \log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) \text{PolyLog}\left(2,\frac{(b d-a e) (1-c (a+b x))}{b (d+e x)}\right)}{2 d^2}+\frac{e^2 h n \text{PolyLog}\left(3,-\frac{b x}{a}\right)}{2 d^2}-\frac{e^2 h n \text{PolyLog}\left(3,\frac{b (d+e x)}{b d-a e}\right)}{2 d^2}-\frac{e^2 h n \text{PolyLog}\left(3,-\frac{b x}{a (1-c (a+b x))}\right)}{2 d^2}+\frac{e^2 h n \text{PolyLog}\left(3,-\frac{b c x}{1-c (a+b x)}\right)}{2 d^2}-\frac{e^2 h n \text{PolyLog}\left(3,-\frac{e (1-c (a+b x))}{b c (d+e x)}\right)}{2 d^2}+\frac{e^2 h n \text{PolyLog}\left(3,\frac{(b d-a e) (1-c (a+b x))}{b (d+e x)}\right)}{2 d^2}","\frac{h n \left(\log \left(\frac{b c x}{1-a c}\right)+\log \left(\frac{b c d-a c e+e}{b c (d+e x)}\right)-\log \left(\frac{(b c d-a c e+e) x}{(1-a c) (d+e x)}\right)\right) \log ^2\left(\frac{(1-a c) (d+e x)}{d (-a c-b x c+1)}\right) b^2}{4 a^2}-\frac{h n \left(\log \left(\frac{b c x}{1-a c}\right)-\log \left(-\frac{e x}{d}\right)\right) \left(\log (-a c-b x c+1)+\log \left(\frac{(1-a c) (d+e x)}{d (-a c-b x c+1)}\right)\right)^2 b^2}{4 a^2}-\frac{h n \left(\log (c (a+b x))+\log \left(\frac{b c d-a c e+e}{b c (d+e x)}\right)-\log \left(\frac{(b c d-a c e+e) (a+b x)}{b (d+e x)}\right)\right) \log ^2\left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) b^2}{4 a^2}+\frac{h n \left(\log (c (a+b x))-\log \left(-\frac{e (a+b x)}{b d-a e}\right)\right) \left(\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)+\log (1-c (a+b x))\right)^2 b^2}{4 a^2}+\frac{g \log \left(\frac{b c x}{1-a c}\right) \log (-a c-b x c+1) b^2}{2 a^2}+\frac{h n \log \left(\frac{b c x}{1-a c}\right) \log (-a c-b x c+1) \log (d+e x) b^2}{2 a^2}-\frac{h \log \left(\frac{b c x}{1-a c}\right) \log (-a c-b x c+1) \left(n \log (d+e x)-\log \left(f (d+e x)^n\right)\right) b^2}{2 a^2}+\frac{c \log \left(-\frac{e x}{d}\right) \left(g+h \log \left(f (d+e x)^n\right)\right) b^2}{2 a (1-a c)}-\frac{c \log \left(\frac{e (-a c-b x c+1)}{b c d-a c e+e}\right) \left(g+h \log \left(f (d+e x)^n\right)\right) b^2}{2 a (1-a c)}-\frac{h n \log (c (a+b x)) \log (d+e x) \log (1-c (a+b x)) b^2}{2 a^2}+\frac{g \text{PolyLog}(2,c (a+b x)) b^2}{2 a^2}-\frac{h \left(n \log (d+e x)-\log \left(f (d+e x)^n\right)\right) \text{PolyLog}(2,c (a+b x)) b^2}{2 a^2}+\frac{g \text{PolyLog}\left(2,1-\frac{b c x}{1-a c}\right) b^2}{2 a^2}+\frac{h n \left(\log (d+e x)-\log \left(\frac{(1-a c) (d+e x)}{d (-a c-b x c+1)}\right)\right) \text{PolyLog}\left(2,1-\frac{b c x}{1-a c}\right) b^2}{2 a^2}-\frac{h \left(n \log (d+e x)-\log \left(f (d+e x)^n\right)\right) \text{PolyLog}\left(2,1-\frac{b c x}{1-a c}\right) b^2}{2 a^2}+\frac{h n \log \left(\frac{(1-a c) (d+e x)}{d (-a c-b x c+1)}\right) \text{PolyLog}\left(2,\frac{d (-a c-b x c+1)}{(1-a c) (d+e x)}\right) b^2}{2 a^2}-\frac{h n \log \left(\frac{(1-a c) (d+e x)}{d (-a c-b x c+1)}\right) \text{PolyLog}\left(2,-\frac{e (-a c-b x c+1)}{b c (d+e x)}\right) b^2}{2 a^2}-\frac{h n \left(\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)+\log (1-c (a+b x))\right) \text{PolyLog}\left(2,\frac{b (d+e x)}{b d-a e}\right) b^2}{2 a^2}-\frac{c h n \text{PolyLog}\left(2,\frac{b c (d+e x)}{b c d-a c e+e}\right) b^2}{2 a (1-a c)}+\frac{c h n \text{PolyLog}\left(2,\frac{e x}{d}+1\right) b^2}{2 a (1-a c)}+\frac{h n \left(\log (-a c-b x c+1)+\log \left(\frac{(1-a c) (d+e x)}{d (-a c-b x c+1)}\right)\right) \text{PolyLog}\left(2,\frac{e x}{d}+1\right) b^2}{2 a^2}-\frac{h n \left(\log (d+e x)-\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)\right) \text{PolyLog}(2,1-c (a+b x)) b^2}{2 a^2}+\frac{h n \log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) \text{PolyLog}\left(2,-\frac{e (1-c (a+b x))}{b c (d+e x)}\right) b^2}{2 a^2}-\frac{h n \log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) \text{PolyLog}\left(2,\frac{(b d-a e) (1-c (a+b x))}{b (d+e x)}\right) b^2}{2 a^2}-\frac{h n \text{PolyLog}\left(3,1-\frac{b c x}{1-a c}\right) b^2}{2 a^2}+\frac{h n \text{PolyLog}\left(3,\frac{d (-a c-b x c+1)}{(1-a c) (d+e x)}\right) b^2}{2 a^2}-\frac{h n \text{PolyLog}\left(3,-\frac{e (-a c-b x c+1)}{b c (d+e x)}\right) b^2}{2 a^2}+\frac{h n \text{PolyLog}\left(3,\frac{b (d+e x)}{b d-a e}\right) b^2}{2 a^2}-\frac{h n \text{PolyLog}\left(3,\frac{e x}{d}+1\right) b^2}{2 a^2}+\frac{h n \text{PolyLog}(3,1-c (a+b x)) b^2}{2 a^2}+\frac{h n \text{PolyLog}\left(3,-\frac{e (1-c (a+b x))}{b c (d+e x)}\right) b^2}{2 a^2}-\frac{h n \text{PolyLog}\left(3,\frac{(b d-a e) (1-c (a+b x))}{b (d+e x)}\right) b^2}{2 a^2}-\frac{e h n \log \left(\frac{b c x}{1-a c}\right) \log (-a c-b x c+1) b}{a d}+\frac{e h n \log (-a c-b x c+1) \log \left(\frac{b c (d+e x)}{b c d-a c e+e}\right) b}{2 a d}+\frac{\log (-a c-b x c+1) \left(g+h \log \left(f (d+e x)^n\right)\right) b}{2 a x}-\frac{e h n \text{PolyLog}(2,c (a+b x)) b}{2 a d}+\frac{e h n \text{PolyLog}\left(2,\frac{e (-a c-b x c+1)}{b c d-a c e+e}\right) b}{2 a d}-\frac{e h n \text{PolyLog}\left(2,1-\frac{b c x}{1-a c}\right) b}{a d}+\frac{e^2 h n \left(\log (c (a+b x))+\log \left(\frac{b c d-a c e+e}{b c (d+e x)}\right)-\log \left(\frac{(b c d-a c e+e) (a+b x)}{b (d+e x)}\right)\right) \log ^2\left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)}{4 d^2}-\frac{e^2 h n \left(\log (c (a+b x))-\log \left(-\frac{e (a+b x)}{b d-a e}\right)\right) \left(\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)+\log (1-c (a+b x))\right)^2}{4 d^2}-\frac{e^2 h n \left(\log \left(\frac{b x}{a}+1\right)+\log \left(\frac{1-a c}{1-c (a+b x)}\right)-\log \left(\frac{(1-a c) (a+b x)}{a (1-c (a+b x))}\right)\right) \log ^2\left(-\frac{a (1-c (a+b x))}{b x}\right)}{4 d^2}-\frac{e^2 h n \left(\log (c (a+b x))-\log \left(\frac{b x}{a}+1\right)\right) \left(\log (x)+\log \left(-\frac{a (1-c (a+b x))}{b x}\right)\right)^2}{4 d^2}-\frac{e^2 h n \log (x) \log \left(\frac{b x}{a}+1\right) \log (1-c (a+b x))}{2 d^2}+\frac{e^2 h n \log (c (a+b x)) \log (d+e x) \log (1-c (a+b x))}{2 d^2}-\frac{e^2 h n \left(\log (1-c (a+b x))-\log \left(-\frac{a (1-c (a+b x))}{b x}\right)\right) \text{PolyLog}\left(2,-\frac{b x}{a}\right)}{2 d^2}-\frac{e^2 h n \log (x) \text{PolyLog}(2,c (a+b x))}{2 d^2}+\frac{e^2 h n \log (d+e x) \text{PolyLog}(2,c (a+b x))}{2 d^2}-\frac{\left(g+h \log \left(f (d+e x)^n\right)\right) \text{PolyLog}(2,c (a+b x))}{2 x^2}-\frac{e h n \text{PolyLog}(2,c (a+b x))}{2 d x}+\frac{e^2 h n \left(\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)+\log (1-c (a+b x))\right) \text{PolyLog}\left(2,\frac{b (d+e x)}{b d-a e}\right)}{2 d^2}-\frac{e^2 h n \log \left(-\frac{a (1-c (a+b x))}{b x}\right) \text{PolyLog}\left(2,-\frac{b x}{a (1-c (a+b x))}\right)}{2 d^2}+\frac{e^2 h n \log \left(-\frac{a (1-c (a+b x))}{b x}\right) \text{PolyLog}\left(2,-\frac{b c x}{1-c (a+b x)}\right)}{2 d^2}+\frac{e^2 h n \left(\log (d+e x)-\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)\right) \text{PolyLog}(2,1-c (a+b x))}{2 d^2}-\frac{e^2 h n \left(\log (x)+\log \left(-\frac{a (1-c (a+b x))}{b x}\right)\right) \text{PolyLog}(2,1-c (a+b x))}{2 d^2}-\frac{e^2 h n \log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) \text{PolyLog}\left(2,-\frac{e (1-c (a+b x))}{b c (d+e x)}\right)}{2 d^2}+\frac{e^2 h n \log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) \text{PolyLog}\left(2,\frac{(b d-a e) (1-c (a+b x))}{b (d+e x)}\right)}{2 d^2}+\frac{e^2 h n \text{PolyLog}\left(3,-\frac{b x}{a}\right)}{2 d^2}-\frac{e^2 h n \text{PolyLog}\left(3,\frac{b (d+e x)}{b d-a e}\right)}{2 d^2}-\frac{e^2 h n \text{PolyLog}\left(3,-\frac{b x}{a (1-c (a+b x))}\right)}{2 d^2}+\frac{e^2 h n \text{PolyLog}\left(3,-\frac{b c x}{1-c (a+b x)}\right)}{2 d^2}-\frac{e^2 h n \text{PolyLog}\left(3,-\frac{e (1-c (a+b x))}{b c (d+e x)}\right)}{2 d^2}+\frac{e^2 h n \text{PolyLog}\left(3,\frac{(b d-a e) (1-c (a+b x))}{b (d+e x)}\right)}{2 d^2}",1,"(b^2*g*Log[(b*c*x)/(1 - a*c)]*Log[1 - a*c - b*c*x])/(2*a^2) - (b*e*h*n*Log[(b*c*x)/(1 - a*c)]*Log[1 - a*c - b*c*x])/(a*d) + (b^2*h*n*Log[(b*c*x)/(1 - a*c)]*Log[1 - a*c - b*c*x]*Log[d + e*x])/(2*a^2) + (b*e*h*n*Log[1 - a*c - b*c*x]*Log[(b*c*(d + e*x))/(b*c*d + e - a*c*e)])/(2*a*d) + (b^2*h*n*(Log[(b*c*x)/(1 - a*c)] + Log[(b*c*d + e - a*c*e)/(b*c*(d + e*x))] - Log[((b*c*d + e - a*c*e)*x)/((1 - a*c)*(d + e*x))])*Log[((1 - a*c)*(d + e*x))/(d*(1 - a*c - b*c*x))]^2)/(4*a^2) - (b^2*h*n*(Log[(b*c*x)/(1 - a*c)] - Log[-((e*x)/d)])*(Log[1 - a*c - b*c*x] + Log[((1 - a*c)*(d + e*x))/(d*(1 - a*c - b*c*x))])^2)/(4*a^2) - (b^2*h*Log[(b*c*x)/(1 - a*c)]*Log[1 - a*c - b*c*x]*(n*Log[d + e*x] - Log[f*(d + e*x)^n]))/(2*a^2) + (b^2*c*Log[-((e*x)/d)]*(g + h*Log[f*(d + e*x)^n]))/(2*a*(1 - a*c)) + (b*Log[1 - a*c - b*c*x]*(g + h*Log[f*(d + e*x)^n]))/(2*a*x) - (b^2*c*Log[(e*(1 - a*c - b*c*x))/(b*c*d + e - a*c*e)]*(g + h*Log[f*(d + e*x)^n]))/(2*a*(1 - a*c)) - (b^2*h*n*(Log[c*(a + b*x)] + Log[(b*c*d + e - a*c*e)/(b*c*(d + e*x))] - Log[((b*c*d + e - a*c*e)*(a + b*x))/(b*(d + e*x))])*Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))]^2)/(4*a^2) + (e^2*h*n*(Log[c*(a + b*x)] + Log[(b*c*d + e - a*c*e)/(b*c*(d + e*x))] - Log[((b*c*d + e - a*c*e)*(a + b*x))/(b*(d + e*x))])*Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))]^2)/(4*d^2) - (e^2*h*n*Log[x]*Log[1 + (b*x)/a]*Log[1 - c*(a + b*x)])/(2*d^2) - (b^2*h*n*Log[c*(a + b*x)]*Log[d + e*x]*Log[1 - c*(a + b*x)])/(2*a^2) + (e^2*h*n*Log[c*(a + b*x)]*Log[d + e*x]*Log[1 - c*(a + b*x)])/(2*d^2) + (b^2*h*n*(Log[c*(a + b*x)] - Log[-((e*(a + b*x))/(b*d - a*e))])*(Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))] + Log[1 - c*(a + b*x)])^2)/(4*a^2) - (e^2*h*n*(Log[c*(a + b*x)] - Log[-((e*(a + b*x))/(b*d - a*e))])*(Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))] + Log[1 - c*(a + b*x)])^2)/(4*d^2) - (e^2*h*n*(Log[1 + (b*x)/a] + Log[(1 - a*c)/(1 - c*(a + b*x))] - Log[((1 - a*c)*(a + b*x))/(a*(1 - c*(a + b*x)))])*Log[-((a*(1 - c*(a + b*x)))/(b*x))]^2)/(4*d^2) - (e^2*h*n*(Log[c*(a + b*x)] - Log[1 + (b*x)/a])*(Log[x] + Log[-((a*(1 - c*(a + b*x)))/(b*x))])^2)/(4*d^2) - (e^2*h*n*(Log[1 - c*(a + b*x)] - Log[-((a*(1 - c*(a + b*x)))/(b*x))])*PolyLog[2, -((b*x)/a)])/(2*d^2) + (b^2*g*PolyLog[2, c*(a + b*x)])/(2*a^2) - (b*e*h*n*PolyLog[2, c*(a + b*x)])/(2*a*d) - (e*h*n*PolyLog[2, c*(a + b*x)])/(2*d*x) - (e^2*h*n*Log[x]*PolyLog[2, c*(a + b*x)])/(2*d^2) + (e^2*h*n*Log[d + e*x]*PolyLog[2, c*(a + b*x)])/(2*d^2) - (b^2*h*(n*Log[d + e*x] - Log[f*(d + e*x)^n])*PolyLog[2, c*(a + b*x)])/(2*a^2) - ((g + h*Log[f*(d + e*x)^n])*PolyLog[2, c*(a + b*x)])/(2*x^2) + (b*e*h*n*PolyLog[2, (e*(1 - a*c - b*c*x))/(b*c*d + e - a*c*e)])/(2*a*d) + (b^2*g*PolyLog[2, 1 - (b*c*x)/(1 - a*c)])/(2*a^2) - (b*e*h*n*PolyLog[2, 1 - (b*c*x)/(1 - a*c)])/(a*d) + (b^2*h*n*(Log[d + e*x] - Log[((1 - a*c)*(d + e*x))/(d*(1 - a*c - b*c*x))])*PolyLog[2, 1 - (b*c*x)/(1 - a*c)])/(2*a^2) - (b^2*h*(n*Log[d + e*x] - Log[f*(d + e*x)^n])*PolyLog[2, 1 - (b*c*x)/(1 - a*c)])/(2*a^2) + (b^2*h*n*Log[((1 - a*c)*(d + e*x))/(d*(1 - a*c - b*c*x))]*PolyLog[2, (d*(1 - a*c - b*c*x))/((1 - a*c)*(d + e*x))])/(2*a^2) - (b^2*h*n*Log[((1 - a*c)*(d + e*x))/(d*(1 - a*c - b*c*x))]*PolyLog[2, -((e*(1 - a*c - b*c*x))/(b*c*(d + e*x)))])/(2*a^2) - (b^2*h*n*(Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))] + Log[1 - c*(a + b*x)])*PolyLog[2, (b*(d + e*x))/(b*d - a*e)])/(2*a^2) + (e^2*h*n*(Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))] + Log[1 - c*(a + b*x)])*PolyLog[2, (b*(d + e*x))/(b*d - a*e)])/(2*d^2) - (b^2*c*h*n*PolyLog[2, (b*c*(d + e*x))/(b*c*d + e - a*c*e)])/(2*a*(1 - a*c)) + (b^2*c*h*n*PolyLog[2, 1 + (e*x)/d])/(2*a*(1 - a*c)) + (b^2*h*n*(Log[1 - a*c - b*c*x] + Log[((1 - a*c)*(d + e*x))/(d*(1 - a*c - b*c*x))])*PolyLog[2, 1 + (e*x)/d])/(2*a^2) - (e^2*h*n*Log[-((a*(1 - c*(a + b*x)))/(b*x))]*PolyLog[2, -((b*x)/(a*(1 - c*(a + b*x))))])/(2*d^2) + (e^2*h*n*Log[-((a*(1 - c*(a + b*x)))/(b*x))]*PolyLog[2, -((b*c*x)/(1 - c*(a + b*x)))])/(2*d^2) - (b^2*h*n*(Log[d + e*x] - Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))])*PolyLog[2, 1 - c*(a + b*x)])/(2*a^2) + (e^2*h*n*(Log[d + e*x] - Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))])*PolyLog[2, 1 - c*(a + b*x)])/(2*d^2) - (e^2*h*n*(Log[x] + Log[-((a*(1 - c*(a + b*x)))/(b*x))])*PolyLog[2, 1 - c*(a + b*x)])/(2*d^2) + (b^2*h*n*Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))]*PolyLog[2, -((e*(1 - c*(a + b*x)))/(b*c*(d + e*x)))])/(2*a^2) - (e^2*h*n*Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))]*PolyLog[2, -((e*(1 - c*(a + b*x)))/(b*c*(d + e*x)))])/(2*d^2) - (b^2*h*n*Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))]*PolyLog[2, ((b*d - a*e)*(1 - c*(a + b*x)))/(b*(d + e*x))])/(2*a^2) + (e^2*h*n*Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))]*PolyLog[2, ((b*d - a*e)*(1 - c*(a + b*x)))/(b*(d + e*x))])/(2*d^2) + (e^2*h*n*PolyLog[3, -((b*x)/a)])/(2*d^2) - (b^2*h*n*PolyLog[3, 1 - (b*c*x)/(1 - a*c)])/(2*a^2) + (b^2*h*n*PolyLog[3, (d*(1 - a*c - b*c*x))/((1 - a*c)*(d + e*x))])/(2*a^2) - (b^2*h*n*PolyLog[3, -((e*(1 - a*c - b*c*x))/(b*c*(d + e*x)))])/(2*a^2) + (b^2*h*n*PolyLog[3, (b*(d + e*x))/(b*d - a*e)])/(2*a^2) - (e^2*h*n*PolyLog[3, (b*(d + e*x))/(b*d - a*e)])/(2*d^2) - (b^2*h*n*PolyLog[3, 1 + (e*x)/d])/(2*a^2) - (e^2*h*n*PolyLog[3, -((b*x)/(a*(1 - c*(a + b*x))))])/(2*d^2) + (e^2*h*n*PolyLog[3, -((b*c*x)/(1 - c*(a + b*x)))])/(2*d^2) + (b^2*h*n*PolyLog[3, 1 - c*(a + b*x)])/(2*a^2) + (b^2*h*n*PolyLog[3, -((e*(1 - c*(a + b*x)))/(b*c*(d + e*x)))])/(2*a^2) - (e^2*h*n*PolyLog[3, -((e*(1 - c*(a + b*x)))/(b*c*(d + e*x)))])/(2*d^2) - (b^2*h*n*PolyLog[3, ((b*d - a*e)*(1 - c*(a + b*x)))/(b*(d + e*x))])/(2*a^2) + (e^2*h*n*PolyLog[3, ((b*d - a*e)*(1 - c*(a + b*x)))/(b*(d + e*x))])/(2*d^2)","A",44,16,27,0.5926,1,"{6603, 2439, 36, 29, 31, 2416, 2394, 2315, 2393, 2391, 2438, 2437, 2435, 2440, 6598, 6597}"
183,1,3733,0,4.307845,"\int \frac{\left(g+h \log \left(f (d+e x)^n\right)\right) \text{PolyLog}(2,c (a+b x))}{x^4} \, dx","Int[((g + h*Log[f*(d + e*x)^n])*PolyLog[2, c*(a + b*x)])/x^4,x]","-\frac{h n \left(\log \left(\frac{b c x}{1-a c}\right)+\log \left(\frac{b c d-a c e+e}{b c (d+e x)}\right)-\log \left(\frac{(b c d-a c e+e) x}{(1-a c) (d+e x)}\right)\right) \log ^2\left(\frac{(1-a c) (d+e x)}{d (-a c-b x c+1)}\right) b^3}{6 a^3}+\frac{h n \left(\log \left(\frac{b c x}{1-a c}\right)-\log \left(-\frac{e x}{d}\right)\right) \left(\log (-a c-b x c+1)+\log \left(\frac{(1-a c) (d+e x)}{d (-a c-b x c+1)}\right)\right)^2 b^3}{6 a^3}+\frac{h n \left(\log (c (a+b x))+\log \left(\frac{b c d-a c e+e}{b c (d+e x)}\right)-\log \left(\frac{(b c d-a c e+e) (a+b x)}{b (d+e x)}\right)\right) \log ^2\left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) b^3}{6 a^3}-\frac{h n \left(\log (c (a+b x))-\log \left(-\frac{e (a+b x)}{b d-a e}\right)\right) \left(\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)+\log (1-c (a+b x))\right)^2 b^3}{6 a^3}-\frac{g \log \left(\frac{b c x}{1-a c}\right) \log (-a c-b x c+1) b^3}{3 a^3}-\frac{h n \log \left(\frac{b c x}{1-a c}\right) \log (-a c-b x c+1) \log (d+e x) b^3}{3 a^3}+\frac{h \log \left(\frac{b c x}{1-a c}\right) \log (-a c-b x c+1) \left(n \log (d+e x)-\log \left(f (d+e x)^n\right)\right) b^3}{3 a^3}-\frac{c \log \left(-\frac{e x}{d}\right) \left(g+h \log \left(f (d+e x)^n\right)\right) b^3}{3 a^2 (1-a c)}+\frac{c^2 \log \left(-\frac{e x}{d}\right) \left(g+h \log \left(f (d+e x)^n\right)\right) b^3}{6 a (1-a c)^2}+\frac{c \log \left(\frac{e (-a c-b x c+1)}{b c d-a c e+e}\right) \left(g+h \log \left(f (d+e x)^n\right)\right) b^3}{3 a^2 (1-a c)}-\frac{c^2 \log \left(\frac{e (-a c-b x c+1)}{b c d-a c e+e}\right) \left(g+h \log \left(f (d+e x)^n\right)\right) b^3}{6 a (1-a c)^2}+\frac{h n \log (c (a+b x)) \log (d+e x) \log (1-c (a+b x)) b^3}{3 a^3}-\frac{g \text{PolyLog}(2,c (a+b x)) b^3}{3 a^3}+\frac{h \left(n \log (d+e x)-\log \left(f (d+e x)^n\right)\right) \text{PolyLog}(2,c (a+b x)) b^3}{3 a^3}-\frac{g \text{PolyLog}\left(2,1-\frac{b c x}{1-a c}\right) b^3}{3 a^3}-\frac{h n \left(\log (d+e x)-\log \left(\frac{(1-a c) (d+e x)}{d (-a c-b x c+1)}\right)\right) \text{PolyLog}\left(2,1-\frac{b c x}{1-a c}\right) b^3}{3 a^3}+\frac{h \left(n \log (d+e x)-\log \left(f (d+e x)^n\right)\right) \text{PolyLog}\left(2,1-\frac{b c x}{1-a c}\right) b^3}{3 a^3}-\frac{h n \log \left(\frac{(1-a c) (d+e x)}{d (-a c-b x c+1)}\right) \text{PolyLog}\left(2,\frac{d (-a c-b x c+1)}{(1-a c) (d+e x)}\right) b^3}{3 a^3}+\frac{h n \log \left(\frac{(1-a c) (d+e x)}{d (-a c-b x c+1)}\right) \text{PolyLog}\left(2,-\frac{e (-a c-b x c+1)}{b c (d+e x)}\right) b^3}{3 a^3}+\frac{h n \left(\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)+\log (1-c (a+b x))\right) \text{PolyLog}\left(2,\frac{b (d+e x)}{b d-a e}\right) b^3}{3 a^3}+\frac{c h n \text{PolyLog}\left(2,\frac{b c (d+e x)}{b c d-a c e+e}\right) b^3}{3 a^2 (1-a c)}-\frac{c^2 h n \text{PolyLog}\left(2,\frac{b c (d+e x)}{b c d-a c e+e}\right) b^3}{6 a (1-a c)^2}-\frac{c h n \text{PolyLog}\left(2,\frac{e x}{d}+1\right) b^3}{3 a^2 (1-a c)}+\frac{c^2 h n \text{PolyLog}\left(2,\frac{e x}{d}+1\right) b^3}{6 a (1-a c)^2}-\frac{h n \left(\log (-a c-b x c+1)+\log \left(\frac{(1-a c) (d+e x)}{d (-a c-b x c+1)}\right)\right) \text{PolyLog}\left(2,\frac{e x}{d}+1\right) b^3}{3 a^3}+\frac{h n \left(\log (d+e x)-\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)\right) \text{PolyLog}(2,1-c (a+b x)) b^3}{3 a^3}-\frac{h n \log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) \text{PolyLog}\left(2,-\frac{e (1-c (a+b x))}{b c (d+e x)}\right) b^3}{3 a^3}+\frac{h n \log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) \text{PolyLog}\left(2,\frac{(b d-a e) (1-c (a+b x))}{b (d+e x)}\right) b^3}{3 a^3}+\frac{h n \text{PolyLog}\left(3,1-\frac{b c x}{1-a c}\right) b^3}{3 a^3}-\frac{h n \text{PolyLog}\left(3,\frac{d (-a c-b x c+1)}{(1-a c) (d+e x)}\right) b^3}{3 a^3}+\frac{h n \text{PolyLog}\left(3,-\frac{e (-a c-b x c+1)}{b c (d+e x)}\right) b^3}{3 a^3}-\frac{h n \text{PolyLog}\left(3,\frac{b (d+e x)}{b d-a e}\right) b^3}{3 a^3}+\frac{h n \text{PolyLog}\left(3,\frac{e x}{d}+1\right) b^3}{3 a^3}-\frac{h n \text{PolyLog}(3,1-c (a+b x)) b^3}{3 a^3}-\frac{h n \text{PolyLog}\left(3,-\frac{e (1-c (a+b x))}{b c (d+e x)}\right) b^3}{3 a^3}+\frac{h n \text{PolyLog}\left(3,\frac{(b d-a e) (1-c (a+b x))}{b (d+e x)}\right) b^3}{3 a^3}+\frac{c e h n \log (x) b^2}{2 a (1-a c) d}-\frac{c e h n \log (-a c-b x c+1) b^2}{3 a (1-a c) d}+\frac{e h n \log \left(\frac{b c x}{1-a c}\right) \log (-a c-b x c+1) b^2}{2 a^2 d}-\frac{c e h n \log (d+e x) b^2}{6 a (1-a c) d}-\frac{e h n \log (-a c-b x c+1) \log \left(\frac{b c (d+e x)}{b c d-a c e+e}\right) b^2}{3 a^2 d}-\frac{\log (-a c-b x c+1) \left(g+h \log \left(f (d+e x)^n\right)\right) b^2}{3 a^2 x}-\frac{c \left(g+h \log \left(f (d+e x)^n\right)\right) b^2}{6 a (1-a c) x}+\frac{e h n \text{PolyLog}(2,c (a+b x)) b^2}{6 a^2 d}-\frac{e h n \text{PolyLog}\left(2,\frac{e (-a c-b x c+1)}{b c d-a c e+e}\right) b^2}{3 a^2 d}+\frac{e h n \text{PolyLog}\left(2,1-\frac{b c x}{1-a c}\right) b^2}{2 a^2 d}+\frac{e^2 h n \log \left(\frac{b c x}{1-a c}\right) \log (-a c-b x c+1) b}{2 a d^2}+\frac{e h n \log (-a c-b x c+1) b}{3 a d x}-\frac{e^2 h n \log (-a c-b x c+1) \log \left(\frac{b c (d+e x)}{b c d-a c e+e}\right) b}{6 a d^2}+\frac{\log (-a c-b x c+1) \left(g+h \log \left(f (d+e x)^n\right)\right) b}{6 a x^2}+\frac{e^2 h n \text{PolyLog}(2,c (a+b x)) b}{3 a d^2}-\frac{e^2 h n \text{PolyLog}\left(2,\frac{e (-a c-b x c+1)}{b c d-a c e+e}\right) b}{6 a d^2}+\frac{e^2 h n \text{PolyLog}\left(2,1-\frac{b c x}{1-a c}\right) b}{2 a d^2}-\frac{e^3 h n \left(\log (c (a+b x))+\log \left(\frac{b c d-a c e+e}{b c (d+e x)}\right)-\log \left(\frac{(b c d-a c e+e) (a+b x)}{b (d+e x)}\right)\right) \log ^2\left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)}{6 d^3}+\frac{e^3 h n \left(\log (c (a+b x))-\log \left(-\frac{e (a+b x)}{b d-a e}\right)\right) \left(\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)+\log (1-c (a+b x))\right)^2}{6 d^3}+\frac{e^3 h n \left(\log \left(\frac{b x}{a}+1\right)+\log \left(\frac{1-a c}{1-c (a+b x)}\right)-\log \left(\frac{(1-a c) (a+b x)}{a (1-c (a+b x))}\right)\right) \log ^2\left(-\frac{a (1-c (a+b x))}{b x}\right)}{6 d^3}+\frac{e^3 h n \left(\log (c (a+b x))-\log \left(\frac{b x}{a}+1\right)\right) \left(\log (x)+\log \left(-\frac{a (1-c (a+b x))}{b x}\right)\right)^2}{6 d^3}+\frac{e^3 h n \log (x) \log \left(\frac{b x}{a}+1\right) \log (1-c (a+b x))}{3 d^3}-\frac{e^3 h n \log (c (a+b x)) \log (d+e x) \log (1-c (a+b x))}{3 d^3}+\frac{e^3 h n \left(\log (1-c (a+b x))-\log \left(-\frac{a (1-c (a+b x))}{b x}\right)\right) \text{PolyLog}\left(2,-\frac{b x}{a}\right)}{3 d^3}+\frac{e^3 h n \log (x) \text{PolyLog}(2,c (a+b x))}{3 d^3}-\frac{e^3 h n \log (d+e x) \text{PolyLog}(2,c (a+b x))}{3 d^3}-\frac{\left(g+h \log \left(f (d+e x)^n\right)\right) \text{PolyLog}(2,c (a+b x))}{3 x^3}+\frac{e^2 h n \text{PolyLog}(2,c (a+b x))}{3 d^2 x}-\frac{e h n \text{PolyLog}(2,c (a+b x))}{6 d x^2}-\frac{e^3 h n \left(\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)+\log (1-c (a+b x))\right) \text{PolyLog}\left(2,\frac{b (d+e x)}{b d-a e}\right)}{3 d^3}+\frac{e^3 h n \log \left(-\frac{a (1-c (a+b x))}{b x}\right) \text{PolyLog}\left(2,-\frac{b x}{a (1-c (a+b x))}\right)}{3 d^3}-\frac{e^3 h n \log \left(-\frac{a (1-c (a+b x))}{b x}\right) \text{PolyLog}\left(2,-\frac{b c x}{1-c (a+b x)}\right)}{3 d^3}-\frac{e^3 h n \left(\log (d+e x)-\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)\right) \text{PolyLog}(2,1-c (a+b x))}{3 d^3}+\frac{e^3 h n \left(\log (x)+\log \left(-\frac{a (1-c (a+b x))}{b x}\right)\right) \text{PolyLog}(2,1-c (a+b x))}{3 d^3}+\frac{e^3 h n \log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) \text{PolyLog}\left(2,-\frac{e (1-c (a+b x))}{b c (d+e x)}\right)}{3 d^3}-\frac{e^3 h n \log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) \text{PolyLog}\left(2,\frac{(b d-a e) (1-c (a+b x))}{b (d+e x)}\right)}{3 d^3}-\frac{e^3 h n \text{PolyLog}\left(3,-\frac{b x}{a}\right)}{3 d^3}+\frac{e^3 h n \text{PolyLog}\left(3,\frac{b (d+e x)}{b d-a e}\right)}{3 d^3}+\frac{e^3 h n \text{PolyLog}\left(3,-\frac{b x}{a (1-c (a+b x))}\right)}{3 d^3}-\frac{e^3 h n \text{PolyLog}\left(3,-\frac{b c x}{1-c (a+b x)}\right)}{3 d^3}+\frac{e^3 h n \text{PolyLog}\left(3,-\frac{e (1-c (a+b x))}{b c (d+e x)}\right)}{3 d^3}-\frac{e^3 h n \text{PolyLog}\left(3,\frac{(b d-a e) (1-c (a+b x))}{b (d+e x)}\right)}{3 d^3}","-\frac{h n \left(\log \left(\frac{b c x}{1-a c}\right)+\log \left(\frac{b c d-a c e+e}{b c (d+e x)}\right)-\log \left(\frac{(b c d-a c e+e) x}{(1-a c) (d+e x)}\right)\right) \log ^2\left(\frac{(1-a c) (d+e x)}{d (-a c-b x c+1)}\right) b^3}{6 a^3}+\frac{h n \left(\log \left(\frac{b c x}{1-a c}\right)-\log \left(-\frac{e x}{d}\right)\right) \left(\log (-a c-b x c+1)+\log \left(\frac{(1-a c) (d+e x)}{d (-a c-b x c+1)}\right)\right)^2 b^3}{6 a^3}+\frac{h n \left(\log (c (a+b x))+\log \left(\frac{b c d-a c e+e}{b c (d+e x)}\right)-\log \left(\frac{(b c d-a c e+e) (a+b x)}{b (d+e x)}\right)\right) \log ^2\left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) b^3}{6 a^3}-\frac{h n \left(\log (c (a+b x))-\log \left(-\frac{e (a+b x)}{b d-a e}\right)\right) \left(\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)+\log (1-c (a+b x))\right)^2 b^3}{6 a^3}-\frac{g \log \left(\frac{b c x}{1-a c}\right) \log (-a c-b x c+1) b^3}{3 a^3}-\frac{h n \log \left(\frac{b c x}{1-a c}\right) \log (-a c-b x c+1) \log (d+e x) b^3}{3 a^3}+\frac{h \log \left(\frac{b c x}{1-a c}\right) \log (-a c-b x c+1) \left(n \log (d+e x)-\log \left(f (d+e x)^n\right)\right) b^3}{3 a^3}-\frac{c \log \left(-\frac{e x}{d}\right) \left(g+h \log \left(f (d+e x)^n\right)\right) b^3}{3 a^2 (1-a c)}+\frac{c^2 \log \left(-\frac{e x}{d}\right) \left(g+h \log \left(f (d+e x)^n\right)\right) b^3}{6 a (1-a c)^2}+\frac{c \log \left(\frac{e (-a c-b x c+1)}{b c d-a c e+e}\right) \left(g+h \log \left(f (d+e x)^n\right)\right) b^3}{3 a^2 (1-a c)}-\frac{c^2 \log \left(\frac{e (-a c-b x c+1)}{b c d-a c e+e}\right) \left(g+h \log \left(f (d+e x)^n\right)\right) b^3}{6 a (1-a c)^2}+\frac{h n \log (c (a+b x)) \log (d+e x) \log (1-c (a+b x)) b^3}{3 a^3}-\frac{g \text{PolyLog}(2,c (a+b x)) b^3}{3 a^3}+\frac{h \left(n \log (d+e x)-\log \left(f (d+e x)^n\right)\right) \text{PolyLog}(2,c (a+b x)) b^3}{3 a^3}-\frac{g \text{PolyLog}\left(2,1-\frac{b c x}{1-a c}\right) b^3}{3 a^3}-\frac{h n \left(\log (d+e x)-\log \left(\frac{(1-a c) (d+e x)}{d (-a c-b x c+1)}\right)\right) \text{PolyLog}\left(2,1-\frac{b c x}{1-a c}\right) b^3}{3 a^3}+\frac{h \left(n \log (d+e x)-\log \left(f (d+e x)^n\right)\right) \text{PolyLog}\left(2,1-\frac{b c x}{1-a c}\right) b^3}{3 a^3}-\frac{h n \log \left(\frac{(1-a c) (d+e x)}{d (-a c-b x c+1)}\right) \text{PolyLog}\left(2,\frac{d (-a c-b x c+1)}{(1-a c) (d+e x)}\right) b^3}{3 a^3}+\frac{h n \log \left(\frac{(1-a c) (d+e x)}{d (-a c-b x c+1)}\right) \text{PolyLog}\left(2,-\frac{e (-a c-b x c+1)}{b c (d+e x)}\right) b^3}{3 a^3}+\frac{h n \left(\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)+\log (1-c (a+b x))\right) \text{PolyLog}\left(2,\frac{b (d+e x)}{b d-a e}\right) b^3}{3 a^3}+\frac{c h n \text{PolyLog}\left(2,\frac{b c (d+e x)}{b c d-a c e+e}\right) b^3}{3 a^2 (1-a c)}-\frac{c^2 h n \text{PolyLog}\left(2,\frac{b c (d+e x)}{b c d-a c e+e}\right) b^3}{6 a (1-a c)^2}-\frac{c h n \text{PolyLog}\left(2,\frac{e x}{d}+1\right) b^3}{3 a^2 (1-a c)}+\frac{c^2 h n \text{PolyLog}\left(2,\frac{e x}{d}+1\right) b^3}{6 a (1-a c)^2}-\frac{h n \left(\log (-a c-b x c+1)+\log \left(\frac{(1-a c) (d+e x)}{d (-a c-b x c+1)}\right)\right) \text{PolyLog}\left(2,\frac{e x}{d}+1\right) b^3}{3 a^3}+\frac{h n \left(\log (d+e x)-\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)\right) \text{PolyLog}(2,1-c (a+b x)) b^3}{3 a^3}-\frac{h n \log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) \text{PolyLog}\left(2,-\frac{e (1-c (a+b x))}{b c (d+e x)}\right) b^3}{3 a^3}+\frac{h n \log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) \text{PolyLog}\left(2,\frac{(b d-a e) (1-c (a+b x))}{b (d+e x)}\right) b^3}{3 a^3}+\frac{h n \text{PolyLog}\left(3,1-\frac{b c x}{1-a c}\right) b^3}{3 a^3}-\frac{h n \text{PolyLog}\left(3,\frac{d (-a c-b x c+1)}{(1-a c) (d+e x)}\right) b^3}{3 a^3}+\frac{h n \text{PolyLog}\left(3,-\frac{e (-a c-b x c+1)}{b c (d+e x)}\right) b^3}{3 a^3}-\frac{h n \text{PolyLog}\left(3,\frac{b (d+e x)}{b d-a e}\right) b^3}{3 a^3}+\frac{h n \text{PolyLog}\left(3,\frac{e x}{d}+1\right) b^3}{3 a^3}-\frac{h n \text{PolyLog}(3,1-c (a+b x)) b^3}{3 a^3}-\frac{h n \text{PolyLog}\left(3,-\frac{e (1-c (a+b x))}{b c (d+e x)}\right) b^3}{3 a^3}+\frac{h n \text{PolyLog}\left(3,\frac{(b d-a e) (1-c (a+b x))}{b (d+e x)}\right) b^3}{3 a^3}+\frac{c e h n \log (x) b^2}{2 a (1-a c) d}-\frac{c e h n \log (-a c-b x c+1) b^2}{3 a (1-a c) d}+\frac{e h n \log \left(\frac{b c x}{1-a c}\right) \log (-a c-b x c+1) b^2}{2 a^2 d}-\frac{c e h n \log (d+e x) b^2}{6 a (1-a c) d}-\frac{e h n \log (-a c-b x c+1) \log \left(\frac{b c (d+e x)}{b c d-a c e+e}\right) b^2}{3 a^2 d}-\frac{\log (-a c-b x c+1) \left(g+h \log \left(f (d+e x)^n\right)\right) b^2}{3 a^2 x}-\frac{c \left(g+h \log \left(f (d+e x)^n\right)\right) b^2}{6 a (1-a c) x}+\frac{e h n \text{PolyLog}(2,c (a+b x)) b^2}{6 a^2 d}-\frac{e h n \text{PolyLog}\left(2,\frac{e (-a c-b x c+1)}{b c d-a c e+e}\right) b^2}{3 a^2 d}+\frac{e h n \text{PolyLog}\left(2,1-\frac{b c x}{1-a c}\right) b^2}{2 a^2 d}+\frac{e^2 h n \log \left(\frac{b c x}{1-a c}\right) \log (-a c-b x c+1) b}{2 a d^2}+\frac{e h n \log (-a c-b x c+1) b}{3 a d x}-\frac{e^2 h n \log (-a c-b x c+1) \log \left(\frac{b c (d+e x)}{b c d-a c e+e}\right) b}{6 a d^2}+\frac{\log (-a c-b x c+1) \left(g+h \log \left(f (d+e x)^n\right)\right) b}{6 a x^2}+\frac{e^2 h n \text{PolyLog}(2,c (a+b x)) b}{3 a d^2}-\frac{e^2 h n \text{PolyLog}\left(2,\frac{e (-a c-b x c+1)}{b c d-a c e+e}\right) b}{6 a d^2}+\frac{e^2 h n \text{PolyLog}\left(2,1-\frac{b c x}{1-a c}\right) b}{2 a d^2}-\frac{e^3 h n \left(\log (c (a+b x))+\log \left(\frac{b c d-a c e+e}{b c (d+e x)}\right)-\log \left(\frac{(b c d-a c e+e) (a+b x)}{b (d+e x)}\right)\right) \log ^2\left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)}{6 d^3}+\frac{e^3 h n \left(\log (c (a+b x))-\log \left(-\frac{e (a+b x)}{b d-a e}\right)\right) \left(\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)+\log (1-c (a+b x))\right)^2}{6 d^3}+\frac{e^3 h n \left(\log \left(\frac{b x}{a}+1\right)+\log \left(\frac{1-a c}{1-c (a+b x)}\right)-\log \left(\frac{(1-a c) (a+b x)}{a (1-c (a+b x))}\right)\right) \log ^2\left(-\frac{a (1-c (a+b x))}{b x}\right)}{6 d^3}+\frac{e^3 h n \left(\log (c (a+b x))-\log \left(\frac{b x}{a}+1\right)\right) \left(\log (x)+\log \left(-\frac{a (1-c (a+b x))}{b x}\right)\right)^2}{6 d^3}+\frac{e^3 h n \log (x) \log \left(\frac{b x}{a}+1\right) \log (1-c (a+b x))}{3 d^3}-\frac{e^3 h n \log (c (a+b x)) \log (d+e x) \log (1-c (a+b x))}{3 d^3}+\frac{e^3 h n \left(\log (1-c (a+b x))-\log \left(-\frac{a (1-c (a+b x))}{b x}\right)\right) \text{PolyLog}\left(2,-\frac{b x}{a}\right)}{3 d^3}+\frac{e^3 h n \log (x) \text{PolyLog}(2,c (a+b x))}{3 d^3}-\frac{e^3 h n \log (d+e x) \text{PolyLog}(2,c (a+b x))}{3 d^3}-\frac{\left(g+h \log \left(f (d+e x)^n\right)\right) \text{PolyLog}(2,c (a+b x))}{3 x^3}+\frac{e^2 h n \text{PolyLog}(2,c (a+b x))}{3 d^2 x}-\frac{e h n \text{PolyLog}(2,c (a+b x))}{6 d x^2}-\frac{e^3 h n \left(\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)+\log (1-c (a+b x))\right) \text{PolyLog}\left(2,\frac{b (d+e x)}{b d-a e}\right)}{3 d^3}+\frac{e^3 h n \log \left(-\frac{a (1-c (a+b x))}{b x}\right) \text{PolyLog}\left(2,-\frac{b x}{a (1-c (a+b x))}\right)}{3 d^3}-\frac{e^3 h n \log \left(-\frac{a (1-c (a+b x))}{b x}\right) \text{PolyLog}\left(2,-\frac{b c x}{1-c (a+b x)}\right)}{3 d^3}-\frac{e^3 h n \left(\log (d+e x)-\log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right)\right) \text{PolyLog}(2,1-c (a+b x))}{3 d^3}+\frac{e^3 h n \left(\log (x)+\log \left(-\frac{a (1-c (a+b x))}{b x}\right)\right) \text{PolyLog}(2,1-c (a+b x))}{3 d^3}+\frac{e^3 h n \log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) \text{PolyLog}\left(2,-\frac{e (1-c (a+b x))}{b c (d+e x)}\right)}{3 d^3}-\frac{e^3 h n \log \left(\frac{b (d+e x)}{(b d-a e) (1-c (a+b x))}\right) \text{PolyLog}\left(2,\frac{(b d-a e) (1-c (a+b x))}{b (d+e x)}\right)}{3 d^3}-\frac{e^3 h n \text{PolyLog}\left(3,-\frac{b x}{a}\right)}{3 d^3}+\frac{e^3 h n \text{PolyLog}\left(3,\frac{b (d+e x)}{b d-a e}\right)}{3 d^3}+\frac{e^3 h n \text{PolyLog}\left(3,-\frac{b x}{a (1-c (a+b x))}\right)}{3 d^3}-\frac{e^3 h n \text{PolyLog}\left(3,-\frac{b c x}{1-c (a+b x)}\right)}{3 d^3}+\frac{e^3 h n \text{PolyLog}\left(3,-\frac{e (1-c (a+b x))}{b c (d+e x)}\right)}{3 d^3}-\frac{e^3 h n \text{PolyLog}\left(3,\frac{(b d-a e) (1-c (a+b x))}{b (d+e x)}\right)}{3 d^3}",1,"(b^2*c*e*h*n*Log[x])/(2*a*(1 - a*c)*d) - (b^2*c*e*h*n*Log[1 - a*c - b*c*x])/(3*a*(1 - a*c)*d) + (b*e*h*n*Log[1 - a*c - b*c*x])/(3*a*d*x) - (b^3*g*Log[(b*c*x)/(1 - a*c)]*Log[1 - a*c - b*c*x])/(3*a^3) + (b^2*e*h*n*Log[(b*c*x)/(1 - a*c)]*Log[1 - a*c - b*c*x])/(2*a^2*d) + (b*e^2*h*n*Log[(b*c*x)/(1 - a*c)]*Log[1 - a*c - b*c*x])/(2*a*d^2) - (b^2*c*e*h*n*Log[d + e*x])/(6*a*(1 - a*c)*d) - (b^3*h*n*Log[(b*c*x)/(1 - a*c)]*Log[1 - a*c - b*c*x]*Log[d + e*x])/(3*a^3) - (b^2*e*h*n*Log[1 - a*c - b*c*x]*Log[(b*c*(d + e*x))/(b*c*d + e - a*c*e)])/(3*a^2*d) - (b*e^2*h*n*Log[1 - a*c - b*c*x]*Log[(b*c*(d + e*x))/(b*c*d + e - a*c*e)])/(6*a*d^2) - (b^3*h*n*(Log[(b*c*x)/(1 - a*c)] + Log[(b*c*d + e - a*c*e)/(b*c*(d + e*x))] - Log[((b*c*d + e - a*c*e)*x)/((1 - a*c)*(d + e*x))])*Log[((1 - a*c)*(d + e*x))/(d*(1 - a*c - b*c*x))]^2)/(6*a^3) + (b^3*h*n*(Log[(b*c*x)/(1 - a*c)] - Log[-((e*x)/d)])*(Log[1 - a*c - b*c*x] + Log[((1 - a*c)*(d + e*x))/(d*(1 - a*c - b*c*x))])^2)/(6*a^3) + (b^3*h*Log[(b*c*x)/(1 - a*c)]*Log[1 - a*c - b*c*x]*(n*Log[d + e*x] - Log[f*(d + e*x)^n]))/(3*a^3) - (b^2*c*(g + h*Log[f*(d + e*x)^n]))/(6*a*(1 - a*c)*x) + (b^3*c^2*Log[-((e*x)/d)]*(g + h*Log[f*(d + e*x)^n]))/(6*a*(1 - a*c)^2) - (b^3*c*Log[-((e*x)/d)]*(g + h*Log[f*(d + e*x)^n]))/(3*a^2*(1 - a*c)) + (b*Log[1 - a*c - b*c*x]*(g + h*Log[f*(d + e*x)^n]))/(6*a*x^2) - (b^2*Log[1 - a*c - b*c*x]*(g + h*Log[f*(d + e*x)^n]))/(3*a^2*x) - (b^3*c^2*Log[(e*(1 - a*c - b*c*x))/(b*c*d + e - a*c*e)]*(g + h*Log[f*(d + e*x)^n]))/(6*a*(1 - a*c)^2) + (b^3*c*Log[(e*(1 - a*c - b*c*x))/(b*c*d + e - a*c*e)]*(g + h*Log[f*(d + e*x)^n]))/(3*a^2*(1 - a*c)) + (b^3*h*n*(Log[c*(a + b*x)] + Log[(b*c*d + e - a*c*e)/(b*c*(d + e*x))] - Log[((b*c*d + e - a*c*e)*(a + b*x))/(b*(d + e*x))])*Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))]^2)/(6*a^3) - (e^3*h*n*(Log[c*(a + b*x)] + Log[(b*c*d + e - a*c*e)/(b*c*(d + e*x))] - Log[((b*c*d + e - a*c*e)*(a + b*x))/(b*(d + e*x))])*Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))]^2)/(6*d^3) + (e^3*h*n*Log[x]*Log[1 + (b*x)/a]*Log[1 - c*(a + b*x)])/(3*d^3) + (b^3*h*n*Log[c*(a + b*x)]*Log[d + e*x]*Log[1 - c*(a + b*x)])/(3*a^3) - (e^3*h*n*Log[c*(a + b*x)]*Log[d + e*x]*Log[1 - c*(a + b*x)])/(3*d^3) - (b^3*h*n*(Log[c*(a + b*x)] - Log[-((e*(a + b*x))/(b*d - a*e))])*(Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))] + Log[1 - c*(a + b*x)])^2)/(6*a^3) + (e^3*h*n*(Log[c*(a + b*x)] - Log[-((e*(a + b*x))/(b*d - a*e))])*(Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))] + Log[1 - c*(a + b*x)])^2)/(6*d^3) + (e^3*h*n*(Log[1 + (b*x)/a] + Log[(1 - a*c)/(1 - c*(a + b*x))] - Log[((1 - a*c)*(a + b*x))/(a*(1 - c*(a + b*x)))])*Log[-((a*(1 - c*(a + b*x)))/(b*x))]^2)/(6*d^3) + (e^3*h*n*(Log[c*(a + b*x)] - Log[1 + (b*x)/a])*(Log[x] + Log[-((a*(1 - c*(a + b*x)))/(b*x))])^2)/(6*d^3) + (e^3*h*n*(Log[1 - c*(a + b*x)] - Log[-((a*(1 - c*(a + b*x)))/(b*x))])*PolyLog[2, -((b*x)/a)])/(3*d^3) - (b^3*g*PolyLog[2, c*(a + b*x)])/(3*a^3) + (b^2*e*h*n*PolyLog[2, c*(a + b*x)])/(6*a^2*d) + (b*e^2*h*n*PolyLog[2, c*(a + b*x)])/(3*a*d^2) - (e*h*n*PolyLog[2, c*(a + b*x)])/(6*d*x^2) + (e^2*h*n*PolyLog[2, c*(a + b*x)])/(3*d^2*x) + (e^3*h*n*Log[x]*PolyLog[2, c*(a + b*x)])/(3*d^3) - (e^3*h*n*Log[d + e*x]*PolyLog[2, c*(a + b*x)])/(3*d^3) + (b^3*h*(n*Log[d + e*x] - Log[f*(d + e*x)^n])*PolyLog[2, c*(a + b*x)])/(3*a^3) - ((g + h*Log[f*(d + e*x)^n])*PolyLog[2, c*(a + b*x)])/(3*x^3) - (b^2*e*h*n*PolyLog[2, (e*(1 - a*c - b*c*x))/(b*c*d + e - a*c*e)])/(3*a^2*d) - (b*e^2*h*n*PolyLog[2, (e*(1 - a*c - b*c*x))/(b*c*d + e - a*c*e)])/(6*a*d^2) - (b^3*g*PolyLog[2, 1 - (b*c*x)/(1 - a*c)])/(3*a^3) + (b^2*e*h*n*PolyLog[2, 1 - (b*c*x)/(1 - a*c)])/(2*a^2*d) + (b*e^2*h*n*PolyLog[2, 1 - (b*c*x)/(1 - a*c)])/(2*a*d^2) - (b^3*h*n*(Log[d + e*x] - Log[((1 - a*c)*(d + e*x))/(d*(1 - a*c - b*c*x))])*PolyLog[2, 1 - (b*c*x)/(1 - a*c)])/(3*a^3) + (b^3*h*(n*Log[d + e*x] - Log[f*(d + e*x)^n])*PolyLog[2, 1 - (b*c*x)/(1 - a*c)])/(3*a^3) - (b^3*h*n*Log[((1 - a*c)*(d + e*x))/(d*(1 - a*c - b*c*x))]*PolyLog[2, (d*(1 - a*c - b*c*x))/((1 - a*c)*(d + e*x))])/(3*a^3) + (b^3*h*n*Log[((1 - a*c)*(d + e*x))/(d*(1 - a*c - b*c*x))]*PolyLog[2, -((e*(1 - a*c - b*c*x))/(b*c*(d + e*x)))])/(3*a^3) + (b^3*h*n*(Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))] + Log[1 - c*(a + b*x)])*PolyLog[2, (b*(d + e*x))/(b*d - a*e)])/(3*a^3) - (e^3*h*n*(Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))] + Log[1 - c*(a + b*x)])*PolyLog[2, (b*(d + e*x))/(b*d - a*e)])/(3*d^3) - (b^3*c^2*h*n*PolyLog[2, (b*c*(d + e*x))/(b*c*d + e - a*c*e)])/(6*a*(1 - a*c)^2) + (b^3*c*h*n*PolyLog[2, (b*c*(d + e*x))/(b*c*d + e - a*c*e)])/(3*a^2*(1 - a*c)) + (b^3*c^2*h*n*PolyLog[2, 1 + (e*x)/d])/(6*a*(1 - a*c)^2) - (b^3*c*h*n*PolyLog[2, 1 + (e*x)/d])/(3*a^2*(1 - a*c)) - (b^3*h*n*(Log[1 - a*c - b*c*x] + Log[((1 - a*c)*(d + e*x))/(d*(1 - a*c - b*c*x))])*PolyLog[2, 1 + (e*x)/d])/(3*a^3) + (e^3*h*n*Log[-((a*(1 - c*(a + b*x)))/(b*x))]*PolyLog[2, -((b*x)/(a*(1 - c*(a + b*x))))])/(3*d^3) - (e^3*h*n*Log[-((a*(1 - c*(a + b*x)))/(b*x))]*PolyLog[2, -((b*c*x)/(1 - c*(a + b*x)))])/(3*d^3) + (b^3*h*n*(Log[d + e*x] - Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))])*PolyLog[2, 1 - c*(a + b*x)])/(3*a^3) - (e^3*h*n*(Log[d + e*x] - Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))])*PolyLog[2, 1 - c*(a + b*x)])/(3*d^3) + (e^3*h*n*(Log[x] + Log[-((a*(1 - c*(a + b*x)))/(b*x))])*PolyLog[2, 1 - c*(a + b*x)])/(3*d^3) - (b^3*h*n*Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))]*PolyLog[2, -((e*(1 - c*(a + b*x)))/(b*c*(d + e*x)))])/(3*a^3) + (e^3*h*n*Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))]*PolyLog[2, -((e*(1 - c*(a + b*x)))/(b*c*(d + e*x)))])/(3*d^3) + (b^3*h*n*Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))]*PolyLog[2, ((b*d - a*e)*(1 - c*(a + b*x)))/(b*(d + e*x))])/(3*a^3) - (e^3*h*n*Log[(b*(d + e*x))/((b*d - a*e)*(1 - c*(a + b*x)))]*PolyLog[2, ((b*d - a*e)*(1 - c*(a + b*x)))/(b*(d + e*x))])/(3*d^3) - (e^3*h*n*PolyLog[3, -((b*x)/a)])/(3*d^3) + (b^3*h*n*PolyLog[3, 1 - (b*c*x)/(1 - a*c)])/(3*a^3) - (b^3*h*n*PolyLog[3, (d*(1 - a*c - b*c*x))/((1 - a*c)*(d + e*x))])/(3*a^3) + (b^3*h*n*PolyLog[3, -((e*(1 - a*c - b*c*x))/(b*c*(d + e*x)))])/(3*a^3) - (b^3*h*n*PolyLog[3, (b*(d + e*x))/(b*d - a*e)])/(3*a^3) + (e^3*h*n*PolyLog[3, (b*(d + e*x))/(b*d - a*e)])/(3*d^3) + (b^3*h*n*PolyLog[3, 1 + (e*x)/d])/(3*a^3) + (e^3*h*n*PolyLog[3, -((b*x)/(a*(1 - c*(a + b*x))))])/(3*d^3) - (e^3*h*n*PolyLog[3, -((b*c*x)/(1 - c*(a + b*x)))])/(3*d^3) - (b^3*h*n*PolyLog[3, 1 - c*(a + b*x)])/(3*a^3) - (b^3*h*n*PolyLog[3, -((e*(1 - c*(a + b*x)))/(b*c*(d + e*x)))])/(3*a^3) + (e^3*h*n*PolyLog[3, -((e*(1 - c*(a + b*x)))/(b*c*(d + e*x)))])/(3*d^3) + (b^3*h*n*PolyLog[3, ((b*d - a*e)*(1 - c*(a + b*x)))/(b*(d + e*x))])/(3*a^3) - (e^3*h*n*PolyLog[3, ((b*d - a*e)*(1 - c*(a + b*x)))/(b*(d + e*x))])/(3*d^3)","A",78,18,27,0.6667,1,"{6603, 2439, 44, 2416, 2395, 36, 29, 31, 2394, 2315, 2393, 2391, 2438, 2437, 2435, 2440, 6598, 6597}"
184,1,661,0,0.9818974,"\int x^2 (a+b x) \log (1-c x) \text{PolyLog}(2,c x) \, dx","Int[x^2*(a + b*x)*Log[1 - c*x]*PolyLog[2, c*x],x]","-\frac{x^2 (4 a c+3 b) \text{PolyLog}(2,c x)}{24 c^2}-\frac{x (4 a c+3 b) \text{PolyLog}(2,c x)}{12 c^3}+\frac{(4 a c+3 b) \text{PolyLog}(3,1-c x)}{6 c^4}-\frac{(4 a c+3 b) \log (1-c x) \text{PolyLog}(2,c x)}{12 c^4}-\frac{(4 a c+3 b) \log (1-c x) \text{PolyLog}(2,1-c x)}{6 c^4}-\frac{x^3 (4 a c+3 b) \text{PolyLog}(2,c x)}{36 c}+\frac{1}{12} \left(4 a x^3+3 b x^4\right) \log (1-c x) \text{PolyLog}(2,c x)-\frac{1}{16} b x^4 \text{PolyLog}(2,c x)+\frac{13 x^2 (4 a c+3 b)}{864 c^2}-\frac{x^2 (4 a c+3 b) \log (1-c x)}{48 c^2}+\frac{49 x (4 a c+3 b)}{432 c^3}-\frac{(4 a c+3 b) \log (c x) \log ^2(1-c x)}{12 c^4}+\frac{13 (4 a c+3 b) \log (1-c x)}{432 c^4}+\frac{(1-c x) (4 a c+3 b) \log (1-c x)}{12 c^4}+\frac{x^3 (4 a c+3 b)}{324 c}-\frac{x^3 (4 a c+3 b) \log (1-c x)}{108 c}+\frac{11 a x}{27 c^2}-\frac{a \log ^2(1-c x)}{9 c^3}+\frac{2 a (1-c x) \log (1-c x)}{9 c^3}+\frac{5 a \log (1-c x)}{27 c^3}+\frac{5 a x^2}{54 c}+\frac{1}{9} a x^3 \log ^2(1-c x)-\frac{2}{27} a x^3 \log (1-c x)-\frac{a x^2 \log (1-c x)}{9 c}+\frac{2 a x^3}{81}+\frac{29 b x^2}{384 c^2}-\frac{b x^2 \log (1-c x)}{16 c^2}+\frac{53 b x}{192 c^3}-\frac{b \log ^2(1-c x)}{16 c^4}+\frac{b (1-c x) \log (1-c x)}{8 c^4}+\frac{29 b \log (1-c x)}{192 c^4}+\frac{17 b x^3}{576 c}+\frac{1}{16} b x^4 \log ^2(1-c x)-\frac{3}{64} b x^4 \log (1-c x)-\frac{b x^3 \log (1-c x)}{24 c}+\frac{3 b x^4}{256}","-\frac{x^2 (4 a c+3 b) \text{PolyLog}(2,c x)}{24 c^2}-\frac{x (4 a c+3 b) \text{PolyLog}(2,c x)}{12 c^3}+\frac{(4 a c+3 b) \text{PolyLog}(3,1-c x)}{6 c^4}-\frac{(4 a c+3 b) \log (1-c x) \text{PolyLog}(2,c x)}{12 c^4}-\frac{(4 a c+3 b) \log (1-c x) \text{PolyLog}(2,1-c x)}{6 c^4}-\frac{x^3 (4 a c+3 b) \text{PolyLog}(2,c x)}{36 c}+\frac{1}{12} \left(4 a x^3+3 b x^4\right) \log (1-c x) \text{PolyLog}(2,c x)-\frac{1}{16} b x^4 \text{PolyLog}(2,c x)+\frac{13 x^2 (4 a c+3 b)}{864 c^2}-\frac{x^2 (4 a c+3 b) \log (1-c x)}{48 c^2}+\frac{49 x (4 a c+3 b)}{432 c^3}-\frac{(4 a c+3 b) \log (c x) \log ^2(1-c x)}{12 c^4}+\frac{13 (4 a c+3 b) \log (1-c x)}{432 c^4}+\frac{(1-c x) (4 a c+3 b) \log (1-c x)}{12 c^4}+\frac{x^3 (4 a c+3 b)}{324 c}-\frac{x^3 (4 a c+3 b) \log (1-c x)}{108 c}+\frac{11 a x}{27 c^2}-\frac{a \log ^2(1-c x)}{9 c^3}+\frac{2 a (1-c x) \log (1-c x)}{9 c^3}+\frac{5 a \log (1-c x)}{27 c^3}+\frac{5 a x^2}{54 c}+\frac{1}{9} a x^3 \log ^2(1-c x)-\frac{2}{27} a x^3 \log (1-c x)-\frac{a x^2 \log (1-c x)}{9 c}+\frac{2 a x^3}{81}+\frac{29 b x^2}{384 c^2}-\frac{b x^2 \log (1-c x)}{16 c^2}+\frac{53 b x}{192 c^3}-\frac{b \log ^2(1-c x)}{16 c^4}+\frac{b (1-c x) \log (1-c x)}{8 c^4}+\frac{29 b \log (1-c x)}{192 c^4}+\frac{17 b x^3}{576 c}+\frac{1}{16} b x^4 \log ^2(1-c x)-\frac{3}{64} b x^4 \log (1-c x)-\frac{b x^3 \log (1-c x)}{24 c}+\frac{3 b x^4}{256}",1,"(53*b*x)/(192*c^3) + (11*a*x)/(27*c^2) + (49*(3*b + 4*a*c)*x)/(432*c^3) + (29*b*x^2)/(384*c^2) + (5*a*x^2)/(54*c) + (13*(3*b + 4*a*c)*x^2)/(864*c^2) + (2*a*x^3)/81 + (17*b*x^3)/(576*c) + ((3*b + 4*a*c)*x^3)/(324*c) + (3*b*x^4)/256 + (29*b*Log[1 - c*x])/(192*c^4) + (5*a*Log[1 - c*x])/(27*c^3) + (13*(3*b + 4*a*c)*Log[1 - c*x])/(432*c^4) - (b*x^2*Log[1 - c*x])/(16*c^2) - (a*x^2*Log[1 - c*x])/(9*c) - ((3*b + 4*a*c)*x^2*Log[1 - c*x])/(48*c^2) - (2*a*x^3*Log[1 - c*x])/27 - (b*x^3*Log[1 - c*x])/(24*c) - ((3*b + 4*a*c)*x^3*Log[1 - c*x])/(108*c) - (3*b*x^4*Log[1 - c*x])/64 + (b*(1 - c*x)*Log[1 - c*x])/(8*c^4) + (2*a*(1 - c*x)*Log[1 - c*x])/(9*c^3) + ((3*b + 4*a*c)*(1 - c*x)*Log[1 - c*x])/(12*c^4) - (b*Log[1 - c*x]^2)/(16*c^4) - (a*Log[1 - c*x]^2)/(9*c^3) + (a*x^3*Log[1 - c*x]^2)/9 + (b*x^4*Log[1 - c*x]^2)/16 - ((3*b + 4*a*c)*Log[c*x]*Log[1 - c*x]^2)/(12*c^4) - ((3*b + 4*a*c)*x*PolyLog[2, c*x])/(12*c^3) - ((3*b + 4*a*c)*x^2*PolyLog[2, c*x])/(24*c^2) - ((3*b + 4*a*c)*x^3*PolyLog[2, c*x])/(36*c) - (b*x^4*PolyLog[2, c*x])/16 - ((3*b + 4*a*c)*Log[1 - c*x]*PolyLog[2, c*x])/(12*c^4) + ((4*a*x^3 + 3*b*x^4)*Log[1 - c*x]*PolyLog[2, c*x])/12 - ((3*b + 4*a*c)*Log[1 - c*x]*PolyLog[2, 1 - c*x])/(6*c^4) + ((3*b + 4*a*c)*PolyLog[3, 1 - c*x])/(6*c^4)","A",52,17,21,0.8095,1,"{6742, 6591, 2395, 43, 6604, 2398, 2410, 2389, 2295, 2390, 2301, 6586, 6596, 2396, 2433, 2374, 6589}"
185,1,546,0,0.71802,"\int x (a+b x) \log (1-c x) \text{PolyLog}(2,c x) \, dx","Int[x*(a + b*x)*Log[1 - c*x]*PolyLog[2, c*x],x]","-\frac{x (3 a c+2 b) \text{PolyLog}(2,c x)}{6 c^2}+\frac{(3 a c+2 b) \text{PolyLog}(3,1-c x)}{3 c^3}-\frac{(3 a c+2 b) \log (1-c x) \text{PolyLog}(2,c x)}{6 c^3}-\frac{(3 a c+2 b) \log (1-c x) \text{PolyLog}(2,1-c x)}{3 c^3}-\frac{x^2 (3 a c+2 b) \text{PolyLog}(2,c x)}{12 c}+\frac{1}{6} \left(3 a x^2+2 b x^3\right) \log (1-c x) \text{PolyLog}(2,c x)-\frac{1}{9} b x^3 \text{PolyLog}(2,c x)+\frac{5 x (3 a c+2 b)}{24 c^2}-\frac{(3 a c+2 b) \log (c x) \log ^2(1-c x)}{6 c^3}+\frac{(3 a c+2 b) \log (1-c x)}{24 c^3}+\frac{(1-c x) (3 a c+2 b) \log (1-c x)}{6 c^3}+\frac{x^2 (3 a c+2 b)}{48 c}-\frac{x^2 (3 a c+2 b) \log (1-c x)}{24 c}+\frac{a (1-c x)^2}{8 c^2}+\frac{a (1-c x)^2 \log ^2(1-c x)}{4 c^2}-\frac{a (1-c x) \log ^2(1-c x)}{2 c^2}-\frac{a (1-c x)^2 \log (1-c x)}{4 c^2}+\frac{a (1-c x) \log (1-c x)}{c^2}+\frac{a x}{c}+\frac{4 b x}{9 c^2}-\frac{b \log ^2(1-c x)}{9 c^3}+\frac{2 b (1-c x) \log (1-c x)}{9 c^3}+\frac{2 b \log (1-c x)}{9 c^3}+\frac{b x^2}{9 c}+\frac{1}{9} b x^3 \log ^2(1-c x)-\frac{1}{9} b x^3 \log (1-c x)-\frac{b x^2 \log (1-c x)}{9 c}+\frac{b x^3}{27}","-\frac{x (3 a c+2 b) \text{PolyLog}(2,c x)}{6 c^2}+\frac{(3 a c+2 b) \text{PolyLog}(3,1-c x)}{3 c^3}-\frac{(3 a c+2 b) \log (1-c x) \text{PolyLog}(2,c x)}{6 c^3}-\frac{(3 a c+2 b) \log (1-c x) \text{PolyLog}(2,1-c x)}{3 c^3}-\frac{x^2 (3 a c+2 b) \text{PolyLog}(2,c x)}{12 c}+\frac{1}{6} \left(3 a x^2+2 b x^3\right) \log (1-c x) \text{PolyLog}(2,c x)-\frac{1}{9} b x^3 \text{PolyLog}(2,c x)+\frac{5 x (3 a c+2 b)}{24 c^2}-\frac{(3 a c+2 b) \log (c x) \log ^2(1-c x)}{6 c^3}+\frac{(3 a c+2 b) \log (1-c x)}{24 c^3}+\frac{(1-c x) (3 a c+2 b) \log (1-c x)}{6 c^3}+\frac{x^2 (3 a c+2 b)}{48 c}-\frac{x^2 (3 a c+2 b) \log (1-c x)}{24 c}+\frac{a (1-c x)^2}{8 c^2}+\frac{a (1-c x)^2 \log ^2(1-c x)}{4 c^2}-\frac{a (1-c x) \log ^2(1-c x)}{2 c^2}-\frac{a (1-c x)^2 \log (1-c x)}{4 c^2}+\frac{a (1-c x) \log (1-c x)}{c^2}+\frac{a x}{c}+\frac{4 b x}{9 c^2}-\frac{b \log ^2(1-c x)}{9 c^3}+\frac{2 b (1-c x) \log (1-c x)}{9 c^3}+\frac{2 b \log (1-c x)}{9 c^3}+\frac{b x^2}{9 c}+\frac{1}{9} b x^3 \log ^2(1-c x)-\frac{1}{9} b x^3 \log (1-c x)-\frac{b x^2 \log (1-c x)}{9 c}+\frac{b x^3}{27}",1,"(4*b*x)/(9*c^2) + (a*x)/c + (5*(2*b + 3*a*c)*x)/(24*c^2) + (b*x^2)/(9*c) + ((2*b + 3*a*c)*x^2)/(48*c) + (b*x^3)/27 + (a*(1 - c*x)^2)/(8*c^2) + (2*b*Log[1 - c*x])/(9*c^3) + ((2*b + 3*a*c)*Log[1 - c*x])/(24*c^3) - (b*x^2*Log[1 - c*x])/(9*c) - ((2*b + 3*a*c)*x^2*Log[1 - c*x])/(24*c) - (b*x^3*Log[1 - c*x])/9 + (2*b*(1 - c*x)*Log[1 - c*x])/(9*c^3) + (a*(1 - c*x)*Log[1 - c*x])/c^2 + ((2*b + 3*a*c)*(1 - c*x)*Log[1 - c*x])/(6*c^3) - (a*(1 - c*x)^2*Log[1 - c*x])/(4*c^2) - (b*Log[1 - c*x]^2)/(9*c^3) + (b*x^3*Log[1 - c*x]^2)/9 - (a*(1 - c*x)*Log[1 - c*x]^2)/(2*c^2) + (a*(1 - c*x)^2*Log[1 - c*x]^2)/(4*c^2) - ((2*b + 3*a*c)*Log[c*x]*Log[1 - c*x]^2)/(6*c^3) - ((2*b + 3*a*c)*x*PolyLog[2, c*x])/(6*c^2) - ((2*b + 3*a*c)*x^2*PolyLog[2, c*x])/(12*c) - (b*x^3*PolyLog[2, c*x])/9 - ((2*b + 3*a*c)*Log[1 - c*x]*PolyLog[2, c*x])/(6*c^3) + ((3*a*x^2 + 2*b*x^3)*Log[1 - c*x]*PolyLog[2, c*x])/6 - ((2*b + 3*a*c)*Log[1 - c*x]*PolyLog[2, 1 - c*x])/(3*c^3) + ((2*b + 3*a*c)*PolyLog[3, 1 - c*x])/(3*c^3)","A",40,21,19,1.105,1,"{6742, 6591, 2395, 43, 6604, 2401, 2389, 2296, 2295, 2390, 2305, 2304, 2398, 2410, 2301, 6586, 6596, 2396, 2433, 2374, 6589}"
186,1,390,0,0.4493904,"\int (a+b x) \log (1-c x) \text{PolyLog}(2,c x) \, dx","Int[(a + b*x)*Log[1 - c*x]*PolyLog[2, c*x],x]","\frac{(2 a c+b) \text{PolyLog}(3,1-c x)}{c^2}-\frac{(2 a c+b) \log (1-c x) \text{PolyLog}(2,c x)}{2 c^2}-\frac{(2 a c+b) \log (1-c x) \text{PolyLog}(2,1-c x)}{c^2}+\frac{1}{2} \left(2 a x+b x^2\right) \log (1-c x) \text{PolyLog}(2,c x)-\frac{x (2 a c+b) \text{PolyLog}(2,c x)}{2 c}-\frac{1}{4} b x^2 \text{PolyLog}(2,c x)-\frac{(2 a c+b) \log (c x) \log ^2(1-c x)}{2 c^2}+\frac{(1-c x) (2 a c+b) \log (1-c x)}{2 c^2}+\frac{x (2 a c+b)}{2 c}-\frac{a (1-c x) \log ^2(1-c x)}{c}+\frac{2 a (1-c x) \log (1-c x)}{c}+2 a x+\frac{b (1-c x)^2}{8 c^2}+\frac{b (1-c x)^2 \log ^2(1-c x)}{4 c^2}-\frac{b (1-c x) \log ^2(1-c x)}{2 c^2}-\frac{b (1-c x)^2 \log (1-c x)}{4 c^2}+\frac{b (1-c x) \log (1-c x)}{c^2}+\frac{b \log (1-c x)}{8 c^2}-\frac{1}{8} b x^2 \log (1-c x)+\frac{9 b x}{8 c}+\frac{b x^2}{16}","\frac{(2 a c+b) \text{PolyLog}(3,1-c x)}{c^2}-\frac{(2 a c+b) \log (1-c x) \text{PolyLog}(2,c x)}{2 c^2}-\frac{(2 a c+b) \log (1-c x) \text{PolyLog}(2,1-c x)}{c^2}+\frac{1}{2} \left(2 a x+b x^2\right) \log (1-c x) \text{PolyLog}(2,c x)-\frac{x (2 a c+b) \text{PolyLog}(2,c x)}{2 c}-\frac{1}{4} b x^2 \text{PolyLog}(2,c x)-\frac{(2 a c+b) \log (c x) \log ^2(1-c x)}{2 c^2}+\frac{(1-c x) (2 a c+b) \log (1-c x)}{2 c^2}+\frac{x (2 a c+b)}{2 c}-\frac{a (1-c x) \log ^2(1-c x)}{c}+\frac{2 a (1-c x) \log (1-c x)}{c}+2 a x+\frac{b (1-c x)^2}{8 c^2}+\frac{b (1-c x)^2 \log ^2(1-c x)}{4 c^2}-\frac{b (1-c x) \log ^2(1-c x)}{2 c^2}-\frac{b (1-c x)^2 \log (1-c x)}{4 c^2}+\frac{b (1-c x) \log (1-c x)}{c^2}+\frac{b \log (1-c x)}{8 c^2}-\frac{1}{8} b x^2 \log (1-c x)+\frac{9 b x}{8 c}+\frac{b x^2}{16}",1,"2*a*x + (9*b*x)/(8*c) + ((b + 2*a*c)*x)/(2*c) + (b*x^2)/16 + (b*(1 - c*x)^2)/(8*c^2) + (b*Log[1 - c*x])/(8*c^2) - (b*x^2*Log[1 - c*x])/8 + (b*(1 - c*x)*Log[1 - c*x])/c^2 + (2*a*(1 - c*x)*Log[1 - c*x])/c + ((b + 2*a*c)*(1 - c*x)*Log[1 - c*x])/(2*c^2) - (b*(1 - c*x)^2*Log[1 - c*x])/(4*c^2) - (b*(1 - c*x)*Log[1 - c*x]^2)/(2*c^2) - (a*(1 - c*x)*Log[1 - c*x]^2)/c + (b*(1 - c*x)^2*Log[1 - c*x]^2)/(4*c^2) - ((b + 2*a*c)*Log[c*x]*Log[1 - c*x]^2)/(2*c^2) - ((b + 2*a*c)*x*PolyLog[2, c*x])/(2*c) - (b*x^2*PolyLog[2, c*x])/4 - ((b + 2*a*c)*Log[1 - c*x]*PolyLog[2, c*x])/(2*c^2) + ((2*a*x + b*x^2)*Log[1 - c*x]*PolyLog[2, c*x])/2 - ((b + 2*a*c)*Log[1 - c*x]*PolyLog[2, 1 - c*x])/c^2 + ((b + 2*a*c)*PolyLog[3, 1 - c*x])/c^2","A",26,20,18,1.111,1,"{6598, 43, 2416, 2389, 2295, 2391, 2395, 6604, 2296, 2401, 2390, 2305, 2304, 6586, 6591, 6596, 2396, 2433, 2374, 6589}"
187,1,153,0,0.3383789,"\int \frac{(a+b x) \log (1-c x) \text{PolyLog}(2,c x)}{x} \, dx","Int[((a + b*x)*Log[1 - c*x]*PolyLog[2, c*x])/x,x]","-\frac{1}{2} a \text{PolyLog}(2,c x)^2-b x \text{PolyLog}(2,c x)+\frac{2 b \text{PolyLog}(3,1-c x)}{c}+b x \log (1-c x) \text{PolyLog}(2,c x)-\frac{b \log (1-c x) \text{PolyLog}(2,c x)}{c}-\frac{2 b \log (1-c x) \text{PolyLog}(2,1-c x)}{c}-\frac{b (1-c x) \log ^2(1-c x)}{c}-\frac{b \log (c x) \log ^2(1-c x)}{c}+\frac{3 b (1-c x) \log (1-c x)}{c}+3 b x","-\frac{1}{2} a \text{PolyLog}(2,c x)^2-b x \text{PolyLog}(2,c x)+\frac{2 b \text{PolyLog}(3,1-c x)}{c}+b x \log (1-c x) \text{PolyLog}(2,c x)-\frac{b \log (1-c x) \text{PolyLog}(2,c x)}{c}-\frac{2 b \log (1-c x) \text{PolyLog}(2,1-c x)}{c}-\frac{b (1-c x) \log ^2(1-c x)}{c}-\frac{b \log (c x) \log ^2(1-c x)}{c}+\frac{3 b (1-c x) \log (1-c x)}{c}+3 b x",1,"3*b*x + (3*b*(1 - c*x)*Log[1 - c*x])/c - (b*(1 - c*x)*Log[1 - c*x]^2)/c - (b*Log[c*x]*Log[1 - c*x]^2)/c - b*x*PolyLog[2, c*x] - (b*Log[1 - c*x]*PolyLog[2, c*x])/c + b*x*Log[1 - c*x]*PolyLog[2, c*x] - (a*PolyLog[2, c*x]^2)/2 - (2*b*Log[1 - c*x]*PolyLog[2, 1 - c*x])/c + (2*b*PolyLog[3, 1 - c*x])/c","A",18,15,21,0.7143,1,"{6742, 6586, 2389, 2295, 6589, 6605, 6601, 12, 6600, 2296, 6688, 6596, 2396, 2433, 2374}"
188,1,131,0,0.3135364,"\int \frac{(a+b x) \log (1-c x) \text{PolyLog}(2,c x)}{x^2} \, dx","Int[((a + b*x)*Log[1 - c*x]*PolyLog[2, c*x])/x^2,x]","-2 a c \text{PolyLog}(2,c x)-a c \text{PolyLog}(3,c x)-2 a c \text{PolyLog}(3,1-c x)+a c \log (1-c x) \text{PolyLog}(2,c x)-\frac{a \log (1-c x) \text{PolyLog}(2,c x)}{x}+2 a c \log (1-c x) \text{PolyLog}(2,1-c x)-\frac{1}{2} b \text{PolyLog}(2,c x)^2+\frac{a (1-c x) \log ^2(1-c x)}{x}+a c \log (c x) \log ^2(1-c x)","-2 a c \text{PolyLog}(2,c x)-a c \text{PolyLog}(3,c x)-2 a c \text{PolyLog}(3,1-c x)+a c \log (1-c x) \text{PolyLog}(2,c x)-\frac{a \log (1-c x) \text{PolyLog}(2,c x)}{x}+2 a c \log (1-c x) \text{PolyLog}(2,1-c x)-\frac{1}{2} b \text{PolyLog}(2,c x)^2+\frac{a (1-c x) \log ^2(1-c x)}{x}+a c \log (c x) \log ^2(1-c x)",1,"(a*(1 - c*x)*Log[1 - c*x]^2)/x + a*c*Log[c*x]*Log[1 - c*x]^2 - 2*a*c*PolyLog[2, c*x] + a*c*Log[1 - c*x]*PolyLog[2, c*x] - (a*Log[1 - c*x]*PolyLog[2, c*x])/x - (b*PolyLog[2, c*x]^2)/2 + 2*a*c*Log[1 - c*x]*PolyLog[2, 1 - c*x] - a*c*PolyLog[3, c*x] - 2*a*c*PolyLog[3, 1 - c*x]","A",13,17,21,0.8095,1,"{6742, 6591, 2395, 36, 29, 31, 6589, 6605, 6601, 12, 6603, 2397, 2391, 6596, 2396, 2433, 2374}"
189,1,331,0,0.5409038,"\int \frac{(a+b x) \log (1-c x) \text{PolyLog}(2,c x)}{x^3} \, dx","Int[((a + b*x)*Log[1 - c*x]*PolyLog[2, c*x])/x^3,x]","\frac{b^2 \text{PolyLog}(3,1-c x)}{a}-\frac{b^2 \log (1-c x) \text{PolyLog}(2,1-c x)}{a}-\frac{(a+b x)^2 \log (1-c x) \text{PolyLog}(2,c x)}{2 a x^2}-\frac{1}{2} c (a c+2 b) \text{PolyLog}(3,c x)-\frac{(a c+b)^2 \text{PolyLog}(3,1-c x)}{a}+\frac{(a c+b)^2 \log (1-c x) \text{PolyLog}(2,c x)}{2 a}+\frac{(a c+b)^2 \log (1-c x) \text{PolyLog}(2,1-c x)}{a}-\frac{1}{2} a c^2 \text{PolyLog}(2,c x)+\frac{a c \text{PolyLog}(2,c x)}{2 x}-2 b c \text{PolyLog}(2,c x)-\frac{b^2 \log (c x) \log ^2(1-c x)}{2 a}+\frac{(a c+b)^2 \log (c x) \log ^2(1-c x)}{2 a}-\frac{1}{4} a c^2 \log ^2(1-c x)-a c^2 \log (x)+a c^2 \log (1-c x)+\frac{a \log ^2(1-c x)}{4 x^2}-\frac{a c \log (1-c x)}{x}+\frac{b (1-c x) \log ^2(1-c x)}{x}","\frac{b^2 \text{PolyLog}(3,1-c x)}{a}-\frac{b^2 \log (1-c x) \text{PolyLog}(2,1-c x)}{a}-\frac{(a+b x)^2 \log (1-c x) \text{PolyLog}(2,c x)}{2 a x^2}-\frac{1}{2} c (a c+2 b) \text{PolyLog}(3,c x)-\frac{(a c+b)^2 \text{PolyLog}(3,1-c x)}{a}+\frac{(a c+b)^2 \log (1-c x) \text{PolyLog}(2,c x)}{2 a}+\frac{(a c+b)^2 \log (1-c x) \text{PolyLog}(2,1-c x)}{a}-\frac{1}{2} a c^2 \text{PolyLog}(2,c x)+\frac{a c \text{PolyLog}(2,c x)}{2 x}-2 b c \text{PolyLog}(2,c x)-\frac{b^2 \log (c x) \log ^2(1-c x)}{2 a}+\frac{(a c+b)^2 \log (c x) \log ^2(1-c x)}{2 a}-\frac{1}{4} a c^2 \log ^2(1-c x)-a c^2 \log (x)+a c^2 \log (1-c x)+\frac{a \log ^2(1-c x)}{4 x^2}-\frac{a c \log (1-c x)}{x}+\frac{b (1-c x) \log ^2(1-c x)}{x}",1,"-(a*c^2*Log[x]) + a*c^2*Log[1 - c*x] - (a*c*Log[1 - c*x])/x - (a*c^2*Log[1 - c*x]^2)/4 + (a*Log[1 - c*x]^2)/(4*x^2) + (b*(1 - c*x)*Log[1 - c*x]^2)/x - (b^2*Log[c*x]*Log[1 - c*x]^2)/(2*a) + ((b + a*c)^2*Log[c*x]*Log[1 - c*x]^2)/(2*a) - 2*b*c*PolyLog[2, c*x] - (a*c^2*PolyLog[2, c*x])/2 + (a*c*PolyLog[2, c*x])/(2*x) + ((b + a*c)^2*Log[1 - c*x]*PolyLog[2, c*x])/(2*a) - ((a + b*x)^2*Log[1 - c*x]*PolyLog[2, c*x])/(2*a*x^2) - (b^2*Log[1 - c*x]*PolyLog[2, 1 - c*x])/a + ((b + a*c)^2*Log[1 - c*x]*PolyLog[2, 1 - c*x])/a - (c*(2*b + a*c)*PolyLog[3, c*x])/2 + (b^2*PolyLog[3, 1 - c*x])/a - ((b + a*c)^2*PolyLog[3, 1 - c*x])/a","A",30,20,21,0.9524,1,"{6742, 6591, 2395, 44, 36, 29, 31, 37, 6606, 2398, 2410, 2391, 2390, 2301, 2397, 2396, 2433, 2374, 6589, 6596}"
190,1,460,0,0.6718012,"\int \frac{(a+b x) \log (1-c x) \text{PolyLog}(2,c x)}{x^4} \, dx","Int[((a + b*x)*Log[1 - c*x]*PolyLog[2, c*x])/x^4,x]","-\frac{1}{6} c^2 (2 a c+3 b) \text{PolyLog}(3,c x)-\frac{1}{3} c^2 (2 a c+3 b) \text{PolyLog}(3,1-c x)+\frac{1}{6} c^2 (2 a c+3 b) \log (1-c x) \text{PolyLog}(2,c x)+\frac{1}{3} c^2 (2 a c+3 b) \log (1-c x) \text{PolyLog}(2,1-c x)-\frac{1}{6} \left(\frac{2 a}{x^3}+\frac{3 b}{x^2}\right) \log (1-c x) \text{PolyLog}(2,c x)+\frac{c (2 a c+3 b) \text{PolyLog}(2,c x)}{6 x}-\frac{2}{9} a c^3 \text{PolyLog}(2,c x)+\frac{a c \text{PolyLog}(2,c x)}{6 x^2}-\frac{1}{2} b c^2 \text{PolyLog}(2,c x)+\frac{1}{6} c^2 (2 a c+3 b) \log (c x) \log ^2(1-c x)-\frac{1}{6} c^2 \log (x) (2 a c+3 b)+\frac{1}{6} c^2 (2 a c+3 b) \log (1-c x)-\frac{c (2 a c+3 b) \log (1-c x)}{6 x}+\frac{7 a c^2}{36 x}-\frac{1}{9} a c^3 \log ^2(1-c x)-\frac{5}{12} a c^3 \log (x)+\frac{5}{12} a c^3 \log (1-c x)-\frac{2 a c^2 \log (1-c x)}{9 x}+\frac{a \log ^2(1-c x)}{9 x^3}-\frac{7 a c \log (1-c x)}{36 x^2}-\frac{1}{4} b c^2 \log ^2(1-c x)-\frac{1}{2} b c^2 \log (x)+\frac{1}{2} b c^2 \log (1-c x)+\frac{b \log ^2(1-c x)}{4 x^2}-\frac{b c \log (1-c x)}{2 x}","-\frac{1}{6} c^2 (2 a c+3 b) \text{PolyLog}(3,c x)-\frac{1}{3} c^2 (2 a c+3 b) \text{PolyLog}(3,1-c x)+\frac{1}{6} c^2 (2 a c+3 b) \log (1-c x) \text{PolyLog}(2,c x)+\frac{1}{3} c^2 (2 a c+3 b) \log (1-c x) \text{PolyLog}(2,1-c x)-\frac{1}{6} \left(\frac{2 a}{x^3}+\frac{3 b}{x^2}\right) \log (1-c x) \text{PolyLog}(2,c x)+\frac{c (2 a c+3 b) \text{PolyLog}(2,c x)}{6 x}-\frac{2}{9} a c^3 \text{PolyLog}(2,c x)+\frac{a c \text{PolyLog}(2,c x)}{6 x^2}-\frac{1}{2} b c^2 \text{PolyLog}(2,c x)+\frac{1}{6} c^2 (2 a c+3 b) \log (c x) \log ^2(1-c x)-\frac{1}{6} c^2 \log (x) (2 a c+3 b)+\frac{1}{6} c^2 (2 a c+3 b) \log (1-c x)-\frac{c (2 a c+3 b) \log (1-c x)}{6 x}+\frac{7 a c^2}{36 x}-\frac{1}{9} a c^3 \log ^2(1-c x)-\frac{5}{12} a c^3 \log (x)+\frac{5}{12} a c^3 \log (1-c x)-\frac{2 a c^2 \log (1-c x)}{9 x}+\frac{a \log ^2(1-c x)}{9 x^3}-\frac{7 a c \log (1-c x)}{36 x^2}-\frac{1}{4} b c^2 \log ^2(1-c x)-\frac{1}{2} b c^2 \log (x)+\frac{1}{2} b c^2 \log (1-c x)+\frac{b \log ^2(1-c x)}{4 x^2}-\frac{b c \log (1-c x)}{2 x}",1,"(7*a*c^2)/(36*x) - (b*c^2*Log[x])/2 - (5*a*c^3*Log[x])/12 - (c^2*(3*b + 2*a*c)*Log[x])/6 + (b*c^2*Log[1 - c*x])/2 + (5*a*c^3*Log[1 - c*x])/12 + (c^2*(3*b + 2*a*c)*Log[1 - c*x])/6 - (7*a*c*Log[1 - c*x])/(36*x^2) - (b*c*Log[1 - c*x])/(2*x) - (2*a*c^2*Log[1 - c*x])/(9*x) - (c*(3*b + 2*a*c)*Log[1 - c*x])/(6*x) - (b*c^2*Log[1 - c*x]^2)/4 - (a*c^3*Log[1 - c*x]^2)/9 + (a*Log[1 - c*x]^2)/(9*x^3) + (b*Log[1 - c*x]^2)/(4*x^2) + (c^2*(3*b + 2*a*c)*Log[c*x]*Log[1 - c*x]^2)/6 - (b*c^2*PolyLog[2, c*x])/2 - (2*a*c^3*PolyLog[2, c*x])/9 + (a*c*PolyLog[2, c*x])/(6*x^2) + (c*(3*b + 2*a*c)*PolyLog[2, c*x])/(6*x) + (c^2*(3*b + 2*a*c)*Log[1 - c*x]*PolyLog[2, c*x])/6 - (((2*a)/x^3 + (3*b)/x^2)*Log[1 - c*x]*PolyLog[2, c*x])/6 + (c^2*(3*b + 2*a*c)*Log[1 - c*x]*PolyLog[2, 1 - c*x])/3 - (c^2*(3*b + 2*a*c)*PolyLog[3, c*x])/6 - (c^2*(3*b + 2*a*c)*PolyLog[3, 1 - c*x])/3","A",41,19,21,0.9048,1,"{6742, 6591, 2395, 44, 43, 6606, 2398, 2410, 36, 29, 31, 2391, 2390, 2301, 6589, 6596, 2396, 2433, 2374}"
191,1,584,0,0.8446623,"\int \frac{(a+b x) \log (1-c x) \text{PolyLog}(2,c x)}{x^5} \, dx","Int[((a + b*x)*Log[1 - c*x]*PolyLog[2, c*x])/x^5,x]","-\frac{1}{12} c^3 (3 a c+4 b) \text{PolyLog}(3,c x)-\frac{1}{6} c^3 (3 a c+4 b) \text{PolyLog}(3,1-c x)+\frac{c^2 (3 a c+4 b) \text{PolyLog}(2,c x)}{12 x}+\frac{1}{12} c^3 (3 a c+4 b) \log (1-c x) \text{PolyLog}(2,c x)+\frac{1}{6} c^3 (3 a c+4 b) \log (1-c x) \text{PolyLog}(2,1-c x)+\frac{c (3 a c+4 b) \text{PolyLog}(2,c x)}{24 x^2}-\frac{1}{12} \left(\frac{3 a}{x^4}+\frac{4 b}{x^3}\right) \log (1-c x) \text{PolyLog}(2,c x)-\frac{1}{8} a c^4 \text{PolyLog}(2,c x)+\frac{a c \text{PolyLog}(2,c x)}{12 x^3}-\frac{2}{9} b c^3 \text{PolyLog}(2,c x)+\frac{c^2 (3 a c+4 b)}{48 x}+\frac{1}{12} c^3 (3 a c+4 b) \log (c x) \log ^2(1-c x)-\frac{5}{48} c^3 \log (x) (3 a c+4 b)+\frac{5}{48} c^3 (3 a c+4 b) \log (1-c x)-\frac{c^2 (3 a c+4 b) \log (1-c x)}{12 x}-\frac{c (3 a c+4 b) \log (1-c x)}{48 x^2}+\frac{5 a c^2}{144 x^2}-\frac{a c^2 \log (1-c x)}{16 x^2}+\frac{19 a c^3}{144 x}-\frac{1}{16} a c^4 \log ^2(1-c x)-\frac{37}{144} a c^4 \log (x)+\frac{37}{144} a c^4 \log (1-c x)-\frac{a c^3 \log (1-c x)}{8 x}+\frac{a \log ^2(1-c x)}{16 x^4}-\frac{5 a c \log (1-c x)}{72 x^3}+\frac{b c^2}{9 x}-\frac{1}{9} b c^3 \log ^2(1-c x)-\frac{1}{3} b c^3 \log (x)+\frac{1}{3} b c^3 \log (1-c x)-\frac{2 b c^2 \log (1-c x)}{9 x}+\frac{b \log ^2(1-c x)}{9 x^3}-\frac{b c \log (1-c x)}{9 x^2}","-\frac{1}{12} c^3 (3 a c+4 b) \text{PolyLog}(3,c x)-\frac{1}{6} c^3 (3 a c+4 b) \text{PolyLog}(3,1-c x)+\frac{c^2 (3 a c+4 b) \text{PolyLog}(2,c x)}{12 x}+\frac{1}{12} c^3 (3 a c+4 b) \log (1-c x) \text{PolyLog}(2,c x)+\frac{1}{6} c^3 (3 a c+4 b) \log (1-c x) \text{PolyLog}(2,1-c x)+\frac{c (3 a c+4 b) \text{PolyLog}(2,c x)}{24 x^2}-\frac{1}{12} \left(\frac{3 a}{x^4}+\frac{4 b}{x^3}\right) \log (1-c x) \text{PolyLog}(2,c x)-\frac{1}{8} a c^4 \text{PolyLog}(2,c x)+\frac{a c \text{PolyLog}(2,c x)}{12 x^3}-\frac{2}{9} b c^3 \text{PolyLog}(2,c x)+\frac{c^2 (3 a c+4 b)}{48 x}+\frac{1}{12} c^3 (3 a c+4 b) \log (c x) \log ^2(1-c x)-\frac{5}{48} c^3 \log (x) (3 a c+4 b)+\frac{5}{48} c^3 (3 a c+4 b) \log (1-c x)-\frac{c^2 (3 a c+4 b) \log (1-c x)}{12 x}-\frac{c (3 a c+4 b) \log (1-c x)}{48 x^2}+\frac{5 a c^2}{144 x^2}-\frac{a c^2 \log (1-c x)}{16 x^2}+\frac{19 a c^3}{144 x}-\frac{1}{16} a c^4 \log ^2(1-c x)-\frac{37}{144} a c^4 \log (x)+\frac{37}{144} a c^4 \log (1-c x)-\frac{a c^3 \log (1-c x)}{8 x}+\frac{a \log ^2(1-c x)}{16 x^4}-\frac{5 a c \log (1-c x)}{72 x^3}+\frac{b c^2}{9 x}-\frac{1}{9} b c^3 \log ^2(1-c x)-\frac{1}{3} b c^3 \log (x)+\frac{1}{3} b c^3 \log (1-c x)-\frac{2 b c^2 \log (1-c x)}{9 x}+\frac{b \log ^2(1-c x)}{9 x^3}-\frac{b c \log (1-c x)}{9 x^2}",1,"(5*a*c^2)/(144*x^2) + (b*c^2)/(9*x) + (19*a*c^3)/(144*x) + (c^2*(4*b + 3*a*c))/(48*x) - (b*c^3*Log[x])/3 - (37*a*c^4*Log[x])/144 - (5*c^3*(4*b + 3*a*c)*Log[x])/48 + (b*c^3*Log[1 - c*x])/3 + (37*a*c^4*Log[1 - c*x])/144 + (5*c^3*(4*b + 3*a*c)*Log[1 - c*x])/48 - (5*a*c*Log[1 - c*x])/(72*x^3) - (b*c*Log[1 - c*x])/(9*x^2) - (a*c^2*Log[1 - c*x])/(16*x^2) - (c*(4*b + 3*a*c)*Log[1 - c*x])/(48*x^2) - (2*b*c^2*Log[1 - c*x])/(9*x) - (a*c^3*Log[1 - c*x])/(8*x) - (c^2*(4*b + 3*a*c)*Log[1 - c*x])/(12*x) - (b*c^3*Log[1 - c*x]^2)/9 - (a*c^4*Log[1 - c*x]^2)/16 + (a*Log[1 - c*x]^2)/(16*x^4) + (b*Log[1 - c*x]^2)/(9*x^3) + (c^3*(4*b + 3*a*c)*Log[c*x]*Log[1 - c*x]^2)/12 - (2*b*c^3*PolyLog[2, c*x])/9 - (a*c^4*PolyLog[2, c*x])/8 + (a*c*PolyLog[2, c*x])/(12*x^3) + (c*(4*b + 3*a*c)*PolyLog[2, c*x])/(24*x^2) + (c^2*(4*b + 3*a*c)*PolyLog[2, c*x])/(12*x) + (c^3*(4*b + 3*a*c)*Log[1 - c*x]*PolyLog[2, c*x])/12 - (((3*a)/x^4 + (4*b)/x^3)*Log[1 - c*x]*PolyLog[2, c*x])/12 + (c^3*(4*b + 3*a*c)*Log[1 - c*x]*PolyLog[2, 1 - c*x])/6 - (c^3*(4*b + 3*a*c)*PolyLog[3, c*x])/12 - (c^3*(4*b + 3*a*c)*PolyLog[3, 1 - c*x])/6","A",51,19,21,0.9048,1,"{6742, 6591, 2395, 44, 43, 6606, 2398, 2410, 36, 29, 31, 2391, 2390, 2301, 6589, 6596, 2396, 2433, 2374}"
192,1,900,0,1.1849098,"\int x \left(a+b x+c x^2\right) \log (1-d x) \text{PolyLog}(2,d x) \, dx","Int[x*(a + b*x + c*x^2)*Log[1 - d*x]*PolyLog[2, d*x],x]","\frac{1}{16} c \log ^2(1-d x) x^4+\frac{3 c x^4}{256}-\frac{3}{64} c \log (1-d x) x^4-\frac{1}{16} c \text{PolyLog}(2,d x) x^4+\frac{1}{9} b \log ^2(1-d x) x^3+\frac{2 b x^3}{81}+\frac{(3 c+4 b d) x^3}{324 d}-\frac{2}{27} b \log (1-d x) x^3-\frac{(3 c+4 b d) \log (1-d x) x^3}{108 d}-\frac{c \log (1-d x) x^3}{24 d}-\frac{(3 c+4 b d) \text{PolyLog}(2,d x) x^3}{36 d}+\frac{17 c x^3}{576 d}+\frac{(3 c+4 b d) x^2}{216 d^2}+\frac{\left(6 a d^2+4 b d+3 c\right) x^2}{96 d^2}-\frac{\left(6 a d^2+4 b d+3 c\right) \log (1-d x) x^2}{48 d^2}-\frac{b \log (1-d x) x^2}{9 d}-\frac{c \log (1-d x) x^2}{16 d^2}-\frac{\left(6 a d^2+4 b d+3 c\right) \text{PolyLog}(2,d x) x^2}{24 d^2}+\frac{5 b x^2}{54 d}+\frac{29 c x^2}{384 d^2}+\frac{(3 c+4 b d) x}{108 d^3}+\frac{5 \left(6 a d^2+4 b d+3 c\right) x}{48 d^3}-\frac{\left(6 a d^2+4 b d+3 c\right) \text{PolyLog}(2,d x) x}{12 d^3}+\frac{a x}{d}+\frac{11 b x}{27 d^2}+\frac{53 c x}{192 d^3}+\frac{a (1-d x)^2}{8 d^2}+\frac{a (1-d x)^2 \log ^2(1-d x)}{4 d^2}-\frac{a (1-d x) \log ^2(1-d x)}{2 d^2}-\frac{\left(6 a d^2+4 b d+3 c\right) \log (d x) \log ^2(1-d x)}{12 d^4}-\frac{b \log ^2(1-d x)}{9 d^3}-\frac{c \log ^2(1-d x)}{16 d^4}-\frac{a (1-d x)^2 \log (1-d x)}{4 d^2}+\frac{(3 c+4 b d) \log (1-d x)}{108 d^4}+\frac{\left(6 a d^2+4 b d+3 c\right) \log (1-d x)}{48 d^4}+\frac{\left(6 a d^2+4 b d+3 c\right) (1-d x) \log (1-d x)}{12 d^4}+\frac{a (1-d x) \log (1-d x)}{d^2}+\frac{2 b (1-d x) \log (1-d x)}{9 d^3}+\frac{c (1-d x) \log (1-d x)}{8 d^4}+\frac{5 b \log (1-d x)}{27 d^3}+\frac{29 c \log (1-d x)}{192 d^4}-\frac{\left(6 a d^2+4 b d+3 c\right) \log (1-d x) \text{PolyLog}(2,d x)}{12 d^4}+\frac{1}{12} \left(3 c x^4+4 b x^3+6 a x^2\right) \log (1-d x) \text{PolyLog}(2,d x)-\frac{\left(6 a d^2+4 b d+3 c\right) \log (1-d x) \text{PolyLog}(2,1-d x)}{6 d^4}+\frac{\left(6 a d^2+4 b d+3 c\right) \text{PolyLog}(3,1-d x)}{6 d^4}","\frac{1}{16} c \log ^2(1-d x) x^4+\frac{3 c x^4}{256}-\frac{3}{64} c \log (1-d x) x^4-\frac{1}{16} c \text{PolyLog}(2,d x) x^4+\frac{1}{9} b \log ^2(1-d x) x^3+\frac{2 b x^3}{81}+\frac{(3 c+4 b d) x^3}{324 d}-\frac{2}{27} b \log (1-d x) x^3-\frac{(3 c+4 b d) \log (1-d x) x^3}{108 d}-\frac{c \log (1-d x) x^3}{24 d}-\frac{(3 c+4 b d) \text{PolyLog}(2,d x) x^3}{36 d}+\frac{17 c x^3}{576 d}+\frac{(3 c+4 b d) x^2}{216 d^2}+\frac{\left(6 a d^2+4 b d+3 c\right) x^2}{96 d^2}-\frac{\left(6 a d^2+4 b d+3 c\right) \log (1-d x) x^2}{48 d^2}-\frac{b \log (1-d x) x^2}{9 d}-\frac{c \log (1-d x) x^2}{16 d^2}-\frac{\left(6 a d^2+4 b d+3 c\right) \text{PolyLog}(2,d x) x^2}{24 d^2}+\frac{5 b x^2}{54 d}+\frac{29 c x^2}{384 d^2}+\frac{(3 c+4 b d) x}{108 d^3}+\frac{5 \left(6 a d^2+4 b d+3 c\right) x}{48 d^3}-\frac{\left(6 a d^2+4 b d+3 c\right) \text{PolyLog}(2,d x) x}{12 d^3}+\frac{a x}{d}+\frac{11 b x}{27 d^2}+\frac{53 c x}{192 d^3}+\frac{a (1-d x)^2}{8 d^2}+\frac{a (1-d x)^2 \log ^2(1-d x)}{4 d^2}-\frac{a (1-d x) \log ^2(1-d x)}{2 d^2}-\frac{\left(6 a d^2+4 b d+3 c\right) \log (d x) \log ^2(1-d x)}{12 d^4}-\frac{b \log ^2(1-d x)}{9 d^3}-\frac{c \log ^2(1-d x)}{16 d^4}-\frac{a (1-d x)^2 \log (1-d x)}{4 d^2}+\frac{(3 c+4 b d) \log (1-d x)}{108 d^4}+\frac{\left(6 a d^2+4 b d+3 c\right) \log (1-d x)}{48 d^4}+\frac{\left(6 a d^2+4 b d+3 c\right) (1-d x) \log (1-d x)}{12 d^4}+\frac{a (1-d x) \log (1-d x)}{d^2}+\frac{2 b (1-d x) \log (1-d x)}{9 d^3}+\frac{c (1-d x) \log (1-d x)}{8 d^4}+\frac{5 b \log (1-d x)}{27 d^3}+\frac{29 c \log (1-d x)}{192 d^4}-\frac{\left(6 a d^2+4 b d+3 c\right) \log (1-d x) \text{PolyLog}(2,d x)}{12 d^4}+\frac{1}{12} \left(3 c x^4+4 b x^3+6 a x^2\right) \log (1-d x) \text{PolyLog}(2,d x)-\frac{\left(6 a d^2+4 b d+3 c\right) \log (1-d x) \text{PolyLog}(2,1-d x)}{6 d^4}+\frac{\left(6 a d^2+4 b d+3 c\right) \text{PolyLog}(3,1-d x)}{6 d^4}",1,"(53*c*x)/(192*d^3) + (11*b*x)/(27*d^2) + (a*x)/d + ((3*c + 4*b*d)*x)/(108*d^3) + (5*(3*c + 4*b*d + 6*a*d^2)*x)/(48*d^3) + (29*c*x^2)/(384*d^2) + (5*b*x^2)/(54*d) + ((3*c + 4*b*d)*x^2)/(216*d^2) + ((3*c + 4*b*d + 6*a*d^2)*x^2)/(96*d^2) + (2*b*x^3)/81 + (17*c*x^3)/(576*d) + ((3*c + 4*b*d)*x^3)/(324*d) + (3*c*x^4)/256 + (a*(1 - d*x)^2)/(8*d^2) + (29*c*Log[1 - d*x])/(192*d^4) + (5*b*Log[1 - d*x])/(27*d^3) + ((3*c + 4*b*d)*Log[1 - d*x])/(108*d^4) + ((3*c + 4*b*d + 6*a*d^2)*Log[1 - d*x])/(48*d^4) - (c*x^2*Log[1 - d*x])/(16*d^2) - (b*x^2*Log[1 - d*x])/(9*d) - ((3*c + 4*b*d + 6*a*d^2)*x^2*Log[1 - d*x])/(48*d^2) - (2*b*x^3*Log[1 - d*x])/27 - (c*x^3*Log[1 - d*x])/(24*d) - ((3*c + 4*b*d)*x^3*Log[1 - d*x])/(108*d) - (3*c*x^4*Log[1 - d*x])/64 + (c*(1 - d*x)*Log[1 - d*x])/(8*d^4) + (2*b*(1 - d*x)*Log[1 - d*x])/(9*d^3) + (a*(1 - d*x)*Log[1 - d*x])/d^2 + ((3*c + 4*b*d + 6*a*d^2)*(1 - d*x)*Log[1 - d*x])/(12*d^4) - (a*(1 - d*x)^2*Log[1 - d*x])/(4*d^2) - (c*Log[1 - d*x]^2)/(16*d^4) - (b*Log[1 - d*x]^2)/(9*d^3) + (b*x^3*Log[1 - d*x]^2)/9 + (c*x^4*Log[1 - d*x]^2)/16 - (a*(1 - d*x)*Log[1 - d*x]^2)/(2*d^2) + (a*(1 - d*x)^2*Log[1 - d*x]^2)/(4*d^2) - ((3*c + 4*b*d + 6*a*d^2)*Log[d*x]*Log[1 - d*x]^2)/(12*d^4) - ((3*c + 4*b*d + 6*a*d^2)*x*PolyLog[2, d*x])/(12*d^3) - ((3*c + 4*b*d + 6*a*d^2)*x^2*PolyLog[2, d*x])/(24*d^2) - ((3*c + 4*b*d)*x^3*PolyLog[2, d*x])/(36*d) - (c*x^4*PolyLog[2, d*x])/16 - ((3*c + 4*b*d + 6*a*d^2)*Log[1 - d*x]*PolyLog[2, d*x])/(12*d^4) + ((6*a*x^2 + 4*b*x^3 + 3*c*x^4)*Log[1 - d*x]*PolyLog[2, d*x])/12 - ((3*c + 4*b*d + 6*a*d^2)*Log[1 - d*x]*PolyLog[2, 1 - d*x])/(6*d^4) + ((3*c + 4*b*d + 6*a*d^2)*PolyLog[3, 1 - d*x])/(6*d^4)","A",60,22,24,0.9167,1,"{6742, 6591, 2395, 43, 14, 6604, 2401, 2389, 2296, 2295, 2390, 2305, 2304, 2398, 2410, 2301, 6586, 6596, 2396, 2433, 2374, 6589}"
193,1,645,0,0.818251,"\int \left(a+b x+c x^2\right) \log (1-d x) \text{PolyLog}(2,d x) \, dx","Int[(a + b*x + c*x^2)*Log[1 - d*x]*PolyLog[2, d*x],x]","-\frac{x \text{PolyLog}(2,d x) (3 d (2 a d+b)+2 c)}{6 d^2}+\frac{\text{PolyLog}(3,1-d x) (3 d (2 a d+b)+2 c)}{3 d^3}-\frac{\log (1-d x) \text{PolyLog}(2,d x) (3 d (2 a d+b)+2 c)}{6 d^3}-\frac{\log (1-d x) \text{PolyLog}(2,1-d x) (3 d (2 a d+b)+2 c)}{3 d^3}+\frac{1}{6} \log (1-d x) \text{PolyLog}(2,d x) \left(6 a x+3 b x^2+2 c x^3\right)-\frac{x^2 (3 b d+2 c) \text{PolyLog}(2,d x)}{12 d}-\frac{1}{9} c x^3 \text{PolyLog}(2,d x)+\frac{x (3 d (2 a d+b)+2 c)}{6 d^2}-\frac{\log (d x) \log ^2(1-d x) (3 d (2 a d+b)+2 c)}{6 d^3}+\frac{(1-d x) \log (1-d x) (3 d (2 a d+b)+2 c)}{6 d^3}-\frac{a (1-d x) \log ^2(1-d x)}{d}+\frac{2 a (1-d x) \log (1-d x)}{d}+2 a x+\frac{x (3 b d+2 c)}{24 d^2}+\frac{(3 b d+2 c) \log (1-d x)}{24 d^3}+\frac{x^2 (3 b d+2 c)}{48 d}-\frac{x^2 (3 b d+2 c) \log (1-d x)}{24 d}+\frac{b (1-d x)^2}{8 d^2}+\frac{b (1-d x)^2 \log ^2(1-d x)}{4 d^2}-\frac{b (1-d x) \log ^2(1-d x)}{2 d^2}-\frac{b (1-d x)^2 \log (1-d x)}{4 d^2}+\frac{b (1-d x) \log (1-d x)}{d^2}+\frac{b x}{d}+\frac{4 c x}{9 d^2}-\frac{c \log ^2(1-d x)}{9 d^3}+\frac{2 c (1-d x) \log (1-d x)}{9 d^3}+\frac{2 c \log (1-d x)}{9 d^3}+\frac{c x^2}{9 d}+\frac{1}{9} c x^3 \log ^2(1-d x)-\frac{1}{9} c x^3 \log (1-d x)-\frac{c x^2 \log (1-d x)}{9 d}+\frac{c x^3}{27}","-\frac{x \text{PolyLog}(2,d x) (3 d (2 a d+b)+2 c)}{6 d^2}+\frac{\text{PolyLog}(3,1-d x) (3 d (2 a d+b)+2 c)}{3 d^3}-\frac{\log (1-d x) \text{PolyLog}(2,d x) (3 d (2 a d+b)+2 c)}{6 d^3}-\frac{\log (1-d x) \text{PolyLog}(2,1-d x) (3 d (2 a d+b)+2 c)}{3 d^3}+\frac{1}{6} \log (1-d x) \text{PolyLog}(2,d x) \left(6 a x+3 b x^2+2 c x^3\right)-\frac{x^2 (3 b d+2 c) \text{PolyLog}(2,d x)}{12 d}-\frac{1}{9} c x^3 \text{PolyLog}(2,d x)+\frac{x (3 d (2 a d+b)+2 c)}{6 d^2}-\frac{\log (d x) \log ^2(1-d x) (3 d (2 a d+b)+2 c)}{6 d^3}+\frac{(1-d x) \log (1-d x) (3 d (2 a d+b)+2 c)}{6 d^3}-\frac{a (1-d x) \log ^2(1-d x)}{d}+\frac{2 a (1-d x) \log (1-d x)}{d}+2 a x+\frac{x (3 b d+2 c)}{24 d^2}+\frac{(3 b d+2 c) \log (1-d x)}{24 d^3}+\frac{x^2 (3 b d+2 c)}{48 d}-\frac{x^2 (3 b d+2 c) \log (1-d x)}{24 d}+\frac{b (1-d x)^2}{8 d^2}+\frac{b (1-d x)^2 \log ^2(1-d x)}{4 d^2}-\frac{b (1-d x) \log ^2(1-d x)}{2 d^2}-\frac{b (1-d x)^2 \log (1-d x)}{4 d^2}+\frac{b (1-d x) \log (1-d x)}{d^2}+\frac{b x}{d}+\frac{4 c x}{9 d^2}-\frac{c \log ^2(1-d x)}{9 d^3}+\frac{2 c (1-d x) \log (1-d x)}{9 d^3}+\frac{2 c \log (1-d x)}{9 d^3}+\frac{c x^2}{9 d}+\frac{1}{9} c x^3 \log ^2(1-d x)-\frac{1}{9} c x^3 \log (1-d x)-\frac{c x^2 \log (1-d x)}{9 d}+\frac{c x^3}{27}",1,"2*a*x + (4*c*x)/(9*d^2) + (b*x)/d + ((2*c + 3*b*d)*x)/(24*d^2) + ((2*c + 3*d*(b + 2*a*d))*x)/(6*d^2) + (c*x^2)/(9*d) + ((2*c + 3*b*d)*x^2)/(48*d) + (c*x^3)/27 + (b*(1 - d*x)^2)/(8*d^2) + (2*c*Log[1 - d*x])/(9*d^3) + ((2*c + 3*b*d)*Log[1 - d*x])/(24*d^3) - (c*x^2*Log[1 - d*x])/(9*d) - ((2*c + 3*b*d)*x^2*Log[1 - d*x])/(24*d) - (c*x^3*Log[1 - d*x])/9 + (2*c*(1 - d*x)*Log[1 - d*x])/(9*d^3) + (b*(1 - d*x)*Log[1 - d*x])/d^2 + (2*a*(1 - d*x)*Log[1 - d*x])/d + ((2*c + 3*d*(b + 2*a*d))*(1 - d*x)*Log[1 - d*x])/(6*d^3) - (b*(1 - d*x)^2*Log[1 - d*x])/(4*d^2) - (c*Log[1 - d*x]^2)/(9*d^3) + (c*x^3*Log[1 - d*x]^2)/9 - (b*(1 - d*x)*Log[1 - d*x]^2)/(2*d^2) - (a*(1 - d*x)*Log[1 - d*x]^2)/d + (b*(1 - d*x)^2*Log[1 - d*x]^2)/(4*d^2) - ((2*c + 3*d*(b + 2*a*d))*Log[d*x]*Log[1 - d*x]^2)/(6*d^3) - ((2*c + 3*d*(b + 2*a*d))*x*PolyLog[2, d*x])/(6*d^2) - ((2*c + 3*b*d)*x^2*PolyLog[2, d*x])/(12*d) - (c*x^3*PolyLog[2, d*x])/9 - ((2*c + 3*d*(b + 2*a*d))*Log[1 - d*x]*PolyLog[2, d*x])/(6*d^3) + ((6*a*x + 3*b*x^2 + 2*c*x^3)*Log[1 - d*x]*PolyLog[2, d*x])/6 - ((2*c + 3*d*(b + 2*a*d))*Log[1 - d*x]*PolyLog[2, 1 - d*x])/(3*d^3) + ((2*c + 3*d*(b + 2*a*d))*PolyLog[3, 1 - d*x])/(3*d^3)","A",43,21,23,0.9130,1,"{6742, 6586, 2389, 2295, 6591, 2395, 43, 6604, 2296, 2401, 2390, 2305, 2304, 2398, 2410, 2301, 6596, 2396, 2433, 2374, 6589}"
194,1,402,0,0.6185938,"\int \frac{\left(a+b x+c x^2\right) \log (1-d x) \text{PolyLog}(2,d x)}{x} \, dx","Int[((a + b*x + c*x^2)*Log[1 - d*x]*PolyLog[2, d*x])/x,x]","-\frac{1}{2} a \text{PolyLog}(2,d x)^2+\frac{(2 b d+c) \text{PolyLog}(3,1-d x)}{d^2}-\frac{(2 b d+c) \log (1-d x) \text{PolyLog}(2,d x)}{2 d^2}-\frac{(2 b d+c) \log (1-d x) \text{PolyLog}(2,1-d x)}{d^2}+\frac{1}{2} \left(2 b x+c x^2\right) \log (1-d x) \text{PolyLog}(2,d x)-\frac{x (2 b d+c) \text{PolyLog}(2,d x)}{2 d}-\frac{1}{4} c x^2 \text{PolyLog}(2,d x)-\frac{(2 b d+c) \log (d x) \log ^2(1-d x)}{2 d^2}+\frac{(1-d x) (2 b d+c) \log (1-d x)}{2 d^2}+\frac{x (2 b d+c)}{2 d}-\frac{b (1-d x) \log ^2(1-d x)}{d}+\frac{2 b (1-d x) \log (1-d x)}{d}+2 b x+\frac{c (1-d x)^2}{8 d^2}+\frac{c (1-d x)^2 \log ^2(1-d x)}{4 d^2}-\frac{c (1-d x) \log ^2(1-d x)}{2 d^2}-\frac{c (1-d x)^2 \log (1-d x)}{4 d^2}+\frac{c (1-d x) \log (1-d x)}{d^2}+\frac{c \log (1-d x)}{8 d^2}-\frac{1}{8} c x^2 \log (1-d x)+\frac{9 c x}{8 d}+\frac{c x^2}{16}","-\frac{1}{2} a \text{PolyLog}(2,d x)^2+\frac{(2 b d+c) \text{PolyLog}(3,1-d x)}{d^2}-\frac{(2 b d+c) \log (1-d x) \text{PolyLog}(2,d x)}{2 d^2}-\frac{(2 b d+c) \log (1-d x) \text{PolyLog}(2,1-d x)}{d^2}+\frac{1}{2} \left(2 b x+c x^2\right) \log (1-d x) \text{PolyLog}(2,d x)-\frac{x (2 b d+c) \text{PolyLog}(2,d x)}{2 d}-\frac{1}{4} c x^2 \text{PolyLog}(2,d x)-\frac{(2 b d+c) \log (d x) \log ^2(1-d x)}{2 d^2}+\frac{(1-d x) (2 b d+c) \log (1-d x)}{2 d^2}+\frac{x (2 b d+c)}{2 d}-\frac{b (1-d x) \log ^2(1-d x)}{d}+\frac{2 b (1-d x) \log (1-d x)}{d}+2 b x+\frac{c (1-d x)^2}{8 d^2}+\frac{c (1-d x)^2 \log ^2(1-d x)}{4 d^2}-\frac{c (1-d x) \log ^2(1-d x)}{2 d^2}-\frac{c (1-d x)^2 \log (1-d x)}{4 d^2}+\frac{c (1-d x) \log (1-d x)}{d^2}+\frac{c \log (1-d x)}{8 d^2}-\frac{1}{8} c x^2 \log (1-d x)+\frac{9 c x}{8 d}+\frac{c x^2}{16}",1,"2*b*x + (9*c*x)/(8*d) + ((c + 2*b*d)*x)/(2*d) + (c*x^2)/16 + (c*(1 - d*x)^2)/(8*d^2) + (c*Log[1 - d*x])/(8*d^2) - (c*x^2*Log[1 - d*x])/8 + (c*(1 - d*x)*Log[1 - d*x])/d^2 + (2*b*(1 - d*x)*Log[1 - d*x])/d + ((c + 2*b*d)*(1 - d*x)*Log[1 - d*x])/(2*d^2) - (c*(1 - d*x)^2*Log[1 - d*x])/(4*d^2) - (c*(1 - d*x)*Log[1 - d*x]^2)/(2*d^2) - (b*(1 - d*x)*Log[1 - d*x]^2)/d + (c*(1 - d*x)^2*Log[1 - d*x]^2)/(4*d^2) - ((c + 2*b*d)*Log[d*x]*Log[1 - d*x]^2)/(2*d^2) - ((c + 2*b*d)*x*PolyLog[2, d*x])/(2*d) - (c*x^2*PolyLog[2, d*x])/4 - ((c + 2*b*d)*Log[1 - d*x]*PolyLog[2, d*x])/(2*d^2) + ((2*b*x + c*x^2)*Log[1 - d*x]*PolyLog[2, d*x])/2 - (a*PolyLog[2, d*x]^2)/2 - ((c + 2*b*d)*Log[1 - d*x]*PolyLog[2, 1 - d*x])/d^2 + ((c + 2*b*d)*PolyLog[3, 1 - d*x])/d^2","A",29,24,26,0.9231,1,"{6742, 6586, 2389, 2295, 6589, 6591, 2395, 43, 6605, 6601, 1584, 6598, 2416, 2391, 6604, 2296, 2401, 2390, 2305, 2304, 6596, 2396, 2433, 2374}"
195,1,218,0,0.5079558,"\int \frac{\left(a+b x+c x^2\right) \log (1-d x) \text{PolyLog}(2,d x)}{x^2} \, dx","Int[((a + b*x + c*x^2)*Log[1 - d*x]*PolyLog[2, d*x])/x^2,x]","-2 d \left(a-\frac{c}{d^2}\right) \text{PolyLog}(3,1-d x)+d \left(a-\frac{c}{d^2}\right) \log (1-d x) \text{PolyLog}(2,d x)+2 d \left(a-\frac{c}{d^2}\right) \log (1-d x) \text{PolyLog}(2,1-d x)-\left(\frac{a}{x}-c x\right) \log (1-d x) \text{PolyLog}(2,d x)-2 a d \text{PolyLog}(2,d x)-a d \text{PolyLog}(3,d x)-\frac{1}{2} b \text{PolyLog}(2,d x)^2-c x \text{PolyLog}(2,d x)+d \left(a-\frac{c}{d^2}\right) \log (d x) \log ^2(1-d x)+\frac{a (1-d x) \log ^2(1-d x)}{x}-\frac{c (1-d x) \log ^2(1-d x)}{d}+\frac{3 c (1-d x) \log (1-d x)}{d}+3 c x","-2 d \left(a-\frac{c}{d^2}\right) \text{PolyLog}(3,1-d x)+d \left(a-\frac{c}{d^2}\right) \log (1-d x) \text{PolyLog}(2,d x)+2 d \left(a-\frac{c}{d^2}\right) \log (1-d x) \text{PolyLog}(2,1-d x)-\left(\frac{a}{x}-c x\right) \log (1-d x) \text{PolyLog}(2,d x)-2 a d \text{PolyLog}(2,d x)-a d \text{PolyLog}(3,d x)-\frac{1}{2} b \text{PolyLog}(2,d x)^2-c x \text{PolyLog}(2,d x)+d \left(a-\frac{c}{d^2}\right) \log (d x) \log ^2(1-d x)+\frac{a (1-d x) \log ^2(1-d x)}{x}-\frac{c (1-d x) \log ^2(1-d x)}{d}+\frac{3 c (1-d x) \log (1-d x)}{d}+3 c x",1,"3*c*x + (3*c*(1 - d*x)*Log[1 - d*x])/d - (c*(1 - d*x)*Log[1 - d*x]^2)/d + (a*(1 - d*x)*Log[1 - d*x]^2)/x + (a - c/d^2)*d*Log[d*x]*Log[1 - d*x]^2 - 2*a*d*PolyLog[2, d*x] - c*x*PolyLog[2, d*x] + (a - c/d^2)*d*Log[1 - d*x]*PolyLog[2, d*x] - (a/x - c*x)*Log[1 - d*x]*PolyLog[2, d*x] - (b*PolyLog[2, d*x]^2)/2 + 2*(a - c/d^2)*d*Log[1 - d*x]*PolyLog[2, 1 - d*x] - a*d*PolyLog[3, d*x] - 2*(a - c/d^2)*d*PolyLog[3, 1 - d*x]","A",19,21,26,0.8077,1,"{6742, 6586, 2389, 2295, 6591, 2395, 36, 29, 31, 6589, 6605, 6601, 14, 6606, 2296, 2397, 2391, 6596, 2396, 2433, 2374}"
196,1,343,0,0.740443,"\int \frac{\left(a+b x+c x^2\right) \log (1-d x) \text{PolyLog}(2,d x)}{x^3} \, dx","Int[((a + b*x + c*x^2)*Log[1 - d*x]*PolyLog[2, d*x])/x^3,x]","\frac{b^2 \text{PolyLog}(3,1-d x)}{a}-\frac{b^2 \log (1-d x) \text{PolyLog}(2,1-d x)}{a}-\frac{(a+b x)^2 \log (1-d x) \text{PolyLog}(2,d x)}{2 a x^2}-\frac{1}{2} d (a d+2 b) \text{PolyLog}(3,d x)-\frac{(a d+b)^2 \text{PolyLog}(3,1-d x)}{a}+\frac{(a d+b)^2 \log (1-d x) \text{PolyLog}(2,d x)}{2 a}+\frac{(a d+b)^2 \log (1-d x) \text{PolyLog}(2,1-d x)}{a}-\frac{1}{2} a d^2 \text{PolyLog}(2,d x)+\frac{a d \text{PolyLog}(2,d x)}{2 x}-2 b d \text{PolyLog}(2,d x)-\frac{1}{2} c \text{PolyLog}(2,d x)^2-\frac{b^2 \log (d x) \log ^2(1-d x)}{2 a}+\frac{(a d+b)^2 \log (d x) \log ^2(1-d x)}{2 a}-\frac{1}{4} a d^2 \log ^2(1-d x)-a d^2 \log (x)+a d^2 \log (1-d x)+\frac{a \log ^2(1-d x)}{4 x^2}-\frac{a d \log (1-d x)}{x}+\frac{b (1-d x) \log ^2(1-d x)}{x}","\frac{b^2 \text{PolyLog}(3,1-d x)}{a}-\frac{b^2 \log (1-d x) \text{PolyLog}(2,1-d x)}{a}-\frac{(a+b x)^2 \log (1-d x) \text{PolyLog}(2,d x)}{2 a x^2}-\frac{1}{2} d (a d+2 b) \text{PolyLog}(3,d x)-\frac{(a d+b)^2 \text{PolyLog}(3,1-d x)}{a}+\frac{(a d+b)^2 \log (1-d x) \text{PolyLog}(2,d x)}{2 a}+\frac{(a d+b)^2 \log (1-d x) \text{PolyLog}(2,1-d x)}{a}-\frac{1}{2} a d^2 \text{PolyLog}(2,d x)+\frac{a d \text{PolyLog}(2,d x)}{2 x}-2 b d \text{PolyLog}(2,d x)-\frac{1}{2} c \text{PolyLog}(2,d x)^2-\frac{b^2 \log (d x) \log ^2(1-d x)}{2 a}+\frac{(a d+b)^2 \log (d x) \log ^2(1-d x)}{2 a}-\frac{1}{4} a d^2 \log ^2(1-d x)-a d^2 \log (x)+a d^2 \log (1-d x)+\frac{a \log ^2(1-d x)}{4 x^2}-\frac{a d \log (1-d x)}{x}+\frac{b (1-d x) \log ^2(1-d x)}{x}",1,"-(a*d^2*Log[x]) + a*d^2*Log[1 - d*x] - (a*d*Log[1 - d*x])/x - (a*d^2*Log[1 - d*x]^2)/4 + (a*Log[1 - d*x]^2)/(4*x^2) + (b*(1 - d*x)*Log[1 - d*x]^2)/x - (b^2*Log[d*x]*Log[1 - d*x]^2)/(2*a) + ((b + a*d)^2*Log[d*x]*Log[1 - d*x]^2)/(2*a) - 2*b*d*PolyLog[2, d*x] - (a*d^2*PolyLog[2, d*x])/2 + (a*d*PolyLog[2, d*x])/(2*x) + ((b + a*d)^2*Log[1 - d*x]*PolyLog[2, d*x])/(2*a) - ((a + b*x)^2*Log[1 - d*x]*PolyLog[2, d*x])/(2*a*x^2) - (c*PolyLog[2, d*x]^2)/2 - (b^2*Log[1 - d*x]*PolyLog[2, 1 - d*x])/a + ((b + a*d)^2*Log[1 - d*x]*PolyLog[2, 1 - d*x])/a - (d*(2*b + a*d)*PolyLog[3, d*x])/2 + (b^2*PolyLog[3, 1 - d*x])/a - ((b + a*d)^2*PolyLog[3, 1 - d*x])/a","A",32,22,26,0.8462,1,"{6742, 6591, 2395, 44, 36, 29, 31, 6589, 6605, 6601, 37, 6606, 2398, 2410, 2391, 2390, 2301, 2397, 2396, 2433, 2374, 6596}"
197,1,515,0,0.823474,"\int \frac{\left(a+b x+c x^2\right) \log (1-d x) \text{PolyLog}(2,d x)}{x^4} \, dx","Int[((a + b*x + c*x^2)*Log[1 - d*x]*PolyLog[2, d*x])/x^4,x]","-\frac{1}{6} \log (1-d x) \text{PolyLog}(2,d x) \left(\frac{2 a}{x^3}+\frac{3 b}{x^2}+\frac{6 c}{x}\right)-\frac{1}{6} d \text{PolyLog}(3,d x) (d (2 a d+3 b)+6 c)-\frac{1}{3} d \text{PolyLog}(3,1-d x) (d (2 a d+3 b)+6 c)+\frac{1}{6} d \log (1-d x) \text{PolyLog}(2,d x) (d (2 a d+3 b)+6 c)+\frac{1}{3} d \log (1-d x) \text{PolyLog}(2,1-d x) (d (2 a d+3 b)+6 c)+\frac{d (2 a d+3 b) \text{PolyLog}(2,d x)}{6 x}-\frac{2}{9} a d^3 \text{PolyLog}(2,d x)+\frac{a d \text{PolyLog}(2,d x)}{6 x^2}-\frac{1}{2} b d^2 \text{PolyLog}(2,d x)-2 c d \text{PolyLog}(2,d x)+\frac{1}{6} d \log (d x) \log ^2(1-d x) (d (2 a d+3 b)+6 c)-\frac{1}{6} d^2 \log (x) (2 a d+3 b)+\frac{1}{6} d^2 (2 a d+3 b) \log (1-d x)-\frac{d (2 a d+3 b) \log (1-d x)}{6 x}+\frac{7 a d^2}{36 x}-\frac{1}{9} a d^3 \log ^2(1-d x)-\frac{5}{12} a d^3 \log (x)+\frac{5}{12} a d^3 \log (1-d x)-\frac{2 a d^2 \log (1-d x)}{9 x}+\frac{a \log ^2(1-d x)}{9 x^3}-\frac{7 a d \log (1-d x)}{36 x^2}-\frac{1}{4} b d^2 \log ^2(1-d x)-\frac{1}{2} b d^2 \log (x)+\frac{1}{2} b d^2 \log (1-d x)+\frac{b \log ^2(1-d x)}{4 x^2}-\frac{b d \log (1-d x)}{2 x}+\frac{c (1-d x) \log ^2(1-d x)}{x}","-\frac{1}{6} \log (1-d x) \text{PolyLog}(2,d x) \left(\frac{2 a}{x^3}+\frac{3 b}{x^2}+\frac{6 c}{x}\right)-\frac{1}{6} d \text{PolyLog}(3,d x) (d (2 a d+3 b)+6 c)-\frac{1}{3} d \text{PolyLog}(3,1-d x) (d (2 a d+3 b)+6 c)+\frac{1}{6} d \log (1-d x) \text{PolyLog}(2,d x) (d (2 a d+3 b)+6 c)+\frac{1}{3} d \log (1-d x) \text{PolyLog}(2,1-d x) (d (2 a d+3 b)+6 c)+\frac{d (2 a d+3 b) \text{PolyLog}(2,d x)}{6 x}-\frac{2}{9} a d^3 \text{PolyLog}(2,d x)+\frac{a d \text{PolyLog}(2,d x)}{6 x^2}-\frac{1}{2} b d^2 \text{PolyLog}(2,d x)-2 c d \text{PolyLog}(2,d x)+\frac{1}{6} d \log (d x) \log ^2(1-d x) (d (2 a d+3 b)+6 c)-\frac{1}{6} d^2 \log (x) (2 a d+3 b)+\frac{1}{6} d^2 (2 a d+3 b) \log (1-d x)-\frac{d (2 a d+3 b) \log (1-d x)}{6 x}+\frac{7 a d^2}{36 x}-\frac{1}{9} a d^3 \log ^2(1-d x)-\frac{5}{12} a d^3 \log (x)+\frac{5}{12} a d^3 \log (1-d x)-\frac{2 a d^2 \log (1-d x)}{9 x}+\frac{a \log ^2(1-d x)}{9 x^3}-\frac{7 a d \log (1-d x)}{36 x^2}-\frac{1}{4} b d^2 \log ^2(1-d x)-\frac{1}{2} b d^2 \log (x)+\frac{1}{2} b d^2 \log (1-d x)+\frac{b \log ^2(1-d x)}{4 x^2}-\frac{b d \log (1-d x)}{2 x}+\frac{c (1-d x) \log ^2(1-d x)}{x}",1,"(7*a*d^2)/(36*x) - (b*d^2*Log[x])/2 - (5*a*d^3*Log[x])/12 - (d^2*(3*b + 2*a*d)*Log[x])/6 + (b*d^2*Log[1 - d*x])/2 + (5*a*d^3*Log[1 - d*x])/12 + (d^2*(3*b + 2*a*d)*Log[1 - d*x])/6 - (7*a*d*Log[1 - d*x])/(36*x^2) - (b*d*Log[1 - d*x])/(2*x) - (2*a*d^2*Log[1 - d*x])/(9*x) - (d*(3*b + 2*a*d)*Log[1 - d*x])/(6*x) - (b*d^2*Log[1 - d*x]^2)/4 - (a*d^3*Log[1 - d*x]^2)/9 + (a*Log[1 - d*x]^2)/(9*x^3) + (b*Log[1 - d*x]^2)/(4*x^2) + (c*(1 - d*x)*Log[1 - d*x]^2)/x + (d*(6*c + d*(3*b + 2*a*d))*Log[d*x]*Log[1 - d*x]^2)/6 - 2*c*d*PolyLog[2, d*x] - (b*d^2*PolyLog[2, d*x])/2 - (2*a*d^3*PolyLog[2, d*x])/9 + (a*d*PolyLog[2, d*x])/(6*x^2) + (d*(3*b + 2*a*d)*PolyLog[2, d*x])/(6*x) + (d*(6*c + d*(3*b + 2*a*d))*Log[1 - d*x]*PolyLog[2, d*x])/6 - (((2*a)/x^3 + (3*b)/x^2 + (6*c)/x)*Log[1 - d*x]*PolyLog[2, d*x])/6 + (d*(6*c + d*(3*b + 2*a*d))*Log[1 - d*x]*PolyLog[2, 1 - d*x])/3 - (d*(6*c + d*(3*b + 2*a*d))*PolyLog[3, d*x])/6 - (d*(6*c + d*(3*b + 2*a*d))*PolyLog[3, 1 - d*x])/3","A",43,20,26,0.7692,1,"{6742, 6591, 2395, 44, 36, 29, 31, 14, 6606, 2398, 2410, 2391, 2390, 2301, 2397, 6589, 6596, 2396, 2433, 2374}"
198,1,767,0,1.124651,"\int \frac{\left(a+b x+c x^2\right) \log (1-d x) \text{PolyLog}(2,d x)}{x^5} \, dx","Int[((a + b*x + c*x^2)*Log[1 - d*x]*PolyLog[2, d*x])/x^5,x]","-\frac{1}{12} d^2 \text{PolyLog}(3,d x) (d (3 a d+4 b)+6 c)-\frac{1}{6} d^2 \text{PolyLog}(3,1-d x) (d (3 a d+4 b)+6 c)+\frac{1}{12} d^2 \log (1-d x) \text{PolyLog}(2,d x) (d (3 a d+4 b)+6 c)+\frac{1}{6} d^2 \log (1-d x) \text{PolyLog}(2,1-d x) (d (3 a d+4 b)+6 c)-\frac{1}{12} \log (1-d x) \text{PolyLog}(2,d x) \left(\frac{3 a}{x^4}+\frac{4 b}{x^3}+\frac{6 c}{x^2}\right)+\frac{d \text{PolyLog}(2,d x) (d (3 a d+4 b)+6 c)}{12 x}+\frac{d (3 a d+4 b) \text{PolyLog}(2,d x)}{24 x^2}-\frac{1}{8} a d^4 \text{PolyLog}(2,d x)+\frac{a d \text{PolyLog}(2,d x)}{12 x^3}-\frac{2}{9} b d^3 \text{PolyLog}(2,d x)-\frac{1}{2} c d^2 \text{PolyLog}(2,d x)+\frac{1}{12} d^2 \log (d x) \log ^2(1-d x) (d (3 a d+4 b)+6 c)-\frac{1}{12} d^2 \log (x) (d (3 a d+4 b)+6 c)+\frac{1}{12} d^2 \log (1-d x) (d (3 a d+4 b)+6 c)-\frac{d \log (1-d x) (d (3 a d+4 b)+6 c)}{12 x}+\frac{d^2 (3 a d+4 b)}{48 x}-\frac{1}{48} d^3 \log (x) (3 a d+4 b)+\frac{1}{48} d^3 (3 a d+4 b) \log (1-d x)-\frac{d (3 a d+4 b) \log (1-d x)}{48 x^2}+\frac{5 a d^2}{144 x^2}-\frac{a d^2 \log (1-d x)}{16 x^2}+\frac{19 a d^3}{144 x}-\frac{1}{16} a d^4 \log ^2(1-d x)-\frac{37}{144} a d^4 \log (x)+\frac{37}{144} a d^4 \log (1-d x)-\frac{a d^3 \log (1-d x)}{8 x}+\frac{a \log ^2(1-d x)}{16 x^4}-\frac{5 a d \log (1-d x)}{72 x^3}+\frac{b d^2}{9 x}-\frac{1}{9} b d^3 \log ^2(1-d x)-\frac{1}{3} b d^3 \log (x)+\frac{1}{3} b d^3 \log (1-d x)-\frac{2 b d^2 \log (1-d x)}{9 x}+\frac{b \log ^2(1-d x)}{9 x^3}-\frac{b d \log (1-d x)}{9 x^2}-\frac{1}{4} c d^2 \log ^2(1-d x)-\frac{1}{2} c d^2 \log (x)+\frac{1}{2} c d^2 \log (1-d x)+\frac{c \log ^2(1-d x)}{4 x^2}-\frac{c d \log (1-d x)}{2 x}","-\frac{1}{12} d^2 \text{PolyLog}(3,d x) (d (3 a d+4 b)+6 c)-\frac{1}{6} d^2 \text{PolyLog}(3,1-d x) (d (3 a d+4 b)+6 c)+\frac{1}{12} d^2 \log (1-d x) \text{PolyLog}(2,d x) (d (3 a d+4 b)+6 c)+\frac{1}{6} d^2 \log (1-d x) \text{PolyLog}(2,1-d x) (d (3 a d+4 b)+6 c)-\frac{1}{12} \log (1-d x) \text{PolyLog}(2,d x) \left(\frac{3 a}{x^4}+\frac{4 b}{x^3}+\frac{6 c}{x^2}\right)+\frac{d \text{PolyLog}(2,d x) (d (3 a d+4 b)+6 c)}{12 x}+\frac{d (3 a d+4 b) \text{PolyLog}(2,d x)}{24 x^2}-\frac{1}{8} a d^4 \text{PolyLog}(2,d x)+\frac{a d \text{PolyLog}(2,d x)}{12 x^3}-\frac{2}{9} b d^3 \text{PolyLog}(2,d x)-\frac{1}{2} c d^2 \text{PolyLog}(2,d x)+\frac{1}{12} d^2 \log (d x) \log ^2(1-d x) (d (3 a d+4 b)+6 c)-\frac{1}{12} d^2 \log (x) (d (3 a d+4 b)+6 c)+\frac{1}{12} d^2 \log (1-d x) (d (3 a d+4 b)+6 c)-\frac{d \log (1-d x) (d (3 a d+4 b)+6 c)}{12 x}+\frac{d^2 (3 a d+4 b)}{48 x}-\frac{1}{48} d^3 \log (x) (3 a d+4 b)+\frac{1}{48} d^3 (3 a d+4 b) \log (1-d x)-\frac{d (3 a d+4 b) \log (1-d x)}{48 x^2}+\frac{5 a d^2}{144 x^2}-\frac{a d^2 \log (1-d x)}{16 x^2}+\frac{19 a d^3}{144 x}-\frac{1}{16} a d^4 \log ^2(1-d x)-\frac{37}{144} a d^4 \log (x)+\frac{37}{144} a d^4 \log (1-d x)-\frac{a d^3 \log (1-d x)}{8 x}+\frac{a \log ^2(1-d x)}{16 x^4}-\frac{5 a d \log (1-d x)}{72 x^3}+\frac{b d^2}{9 x}-\frac{1}{9} b d^3 \log ^2(1-d x)-\frac{1}{3} b d^3 \log (x)+\frac{1}{3} b d^3 \log (1-d x)-\frac{2 b d^2 \log (1-d x)}{9 x}+\frac{b \log ^2(1-d x)}{9 x^3}-\frac{b d \log (1-d x)}{9 x^2}-\frac{1}{4} c d^2 \log ^2(1-d x)-\frac{1}{2} c d^2 \log (x)+\frac{1}{2} c d^2 \log (1-d x)+\frac{c \log ^2(1-d x)}{4 x^2}-\frac{c d \log (1-d x)}{2 x}",1,"(5*a*d^2)/(144*x^2) + (b*d^2)/(9*x) + (19*a*d^3)/(144*x) + (d^2*(4*b + 3*a*d))/(48*x) - (c*d^2*Log[x])/2 - (b*d^3*Log[x])/3 - (37*a*d^4*Log[x])/144 - (d^3*(4*b + 3*a*d)*Log[x])/48 - (d^2*(6*c + d*(4*b + 3*a*d))*Log[x])/12 + (c*d^2*Log[1 - d*x])/2 + (b*d^3*Log[1 - d*x])/3 + (37*a*d^4*Log[1 - d*x])/144 + (d^3*(4*b + 3*a*d)*Log[1 - d*x])/48 + (d^2*(6*c + d*(4*b + 3*a*d))*Log[1 - d*x])/12 - (5*a*d*Log[1 - d*x])/(72*x^3) - (b*d*Log[1 - d*x])/(9*x^2) - (a*d^2*Log[1 - d*x])/(16*x^2) - (d*(4*b + 3*a*d)*Log[1 - d*x])/(48*x^2) - (c*d*Log[1 - d*x])/(2*x) - (2*b*d^2*Log[1 - d*x])/(9*x) - (a*d^3*Log[1 - d*x])/(8*x) - (d*(6*c + d*(4*b + 3*a*d))*Log[1 - d*x])/(12*x) - (c*d^2*Log[1 - d*x]^2)/4 - (b*d^3*Log[1 - d*x]^2)/9 - (a*d^4*Log[1 - d*x]^2)/16 + (a*Log[1 - d*x]^2)/(16*x^4) + (b*Log[1 - d*x]^2)/(9*x^3) + (c*Log[1 - d*x]^2)/(4*x^2) + (d^2*(6*c + d*(4*b + 3*a*d))*Log[d*x]*Log[1 - d*x]^2)/12 - (c*d^2*PolyLog[2, d*x])/2 - (2*b*d^3*PolyLog[2, d*x])/9 - (a*d^4*PolyLog[2, d*x])/8 + (a*d*PolyLog[2, d*x])/(12*x^3) + (d*(4*b + 3*a*d)*PolyLog[2, d*x])/(24*x^2) + (d*(6*c + d*(4*b + 3*a*d))*PolyLog[2, d*x])/(12*x) + (d^2*(6*c + d*(4*b + 3*a*d))*Log[1 - d*x]*PolyLog[2, d*x])/12 - (((3*a)/x^4 + (4*b)/x^3 + (6*c)/x^2)*Log[1 - d*x]*PolyLog[2, d*x])/12 + (d^2*(6*c + d*(4*b + 3*a*d))*Log[1 - d*x]*PolyLog[2, 1 - d*x])/6 - (d^2*(6*c + d*(4*b + 3*a*d))*PolyLog[3, d*x])/12 - (d^2*(6*c + d*(4*b + 3*a*d))*PolyLog[3, 1 - d*x])/6","A",61,19,26,0.7308,1,"{6742, 6591, 2395, 44, 14, 6606, 2398, 2410, 36, 29, 31, 2391, 2390, 2301, 6589, 6596, 2396, 2433, 2374}"