1,1,149,0,0.1337401,"\int (c+d x)^3 \text{csch}(a+b x) \, dx","Int[(c + d*x)^3*Csch[a + b*x],x]","\frac{6 d^2 (c+d x) \text{PolyLog}\left(3,-e^{a+b x}\right)}{b^3}-\frac{6 d^2 (c+d x) \text{PolyLog}\left(3,e^{a+b x}\right)}{b^3}-\frac{3 d (c+d x)^2 \text{PolyLog}\left(2,-e^{a+b x}\right)}{b^2}+\frac{3 d (c+d x)^2 \text{PolyLog}\left(2,e^{a+b x}\right)}{b^2}-\frac{6 d^3 \text{PolyLog}\left(4,-e^{a+b x}\right)}{b^4}+\frac{6 d^3 \text{PolyLog}\left(4,e^{a+b x}\right)}{b^4}-\frac{2 (c+d x)^3 \tanh ^{-1}\left(e^{a+b x}\right)}{b}","\frac{6 d^2 (c+d x) \text{PolyLog}\left(3,-e^{a+b x}\right)}{b^3}-\frac{6 d^2 (c+d x) \text{PolyLog}\left(3,e^{a+b x}\right)}{b^3}-\frac{3 d (c+d x)^2 \text{PolyLog}\left(2,-e^{a+b x}\right)}{b^2}+\frac{3 d (c+d x)^2 \text{PolyLog}\left(2,e^{a+b x}\right)}{b^2}-\frac{6 d^3 \text{PolyLog}\left(4,-e^{a+b x}\right)}{b^4}+\frac{6 d^3 \text{PolyLog}\left(4,e^{a+b x}\right)}{b^4}-\frac{2 (c+d x)^3 \tanh ^{-1}\left(e^{a+b x}\right)}{b}",1,"(-2*(c + d*x)^3*ArcTanh[E^(a + b*x)])/b - (3*d*(c + d*x)^2*PolyLog[2, -E^(a + b*x)])/b^2 + (3*d*(c + d*x)^2*PolyLog[2, E^(a + b*x)])/b^2 + (6*d^2*(c + d*x)*PolyLog[3, -E^(a + b*x)])/b^3 - (6*d^2*(c + d*x)*PolyLog[3, E^(a + b*x)])/b^3 - (6*d^3*PolyLog[4, -E^(a + b*x)])/b^4 + (6*d^3*PolyLog[4, E^(a + b*x)])/b^4","A",9,5,14,0.3571,1,"{4182, 2531, 6609, 2282, 6589}"
2,1,99,0,0.087713,"\int (c+d x)^2 \text{csch}(a+b x) \, dx","Int[(c + d*x)^2*Csch[a + b*x],x]","-\frac{2 d (c+d x) \text{PolyLog}\left(2,-e^{a+b x}\right)}{b^2}+\frac{2 d (c+d x) \text{PolyLog}\left(2,e^{a+b x}\right)}{b^2}+\frac{2 d^2 \text{PolyLog}\left(3,-e^{a+b x}\right)}{b^3}-\frac{2 d^2 \text{PolyLog}\left(3,e^{a+b x}\right)}{b^3}-\frac{2 (c+d x)^2 \tanh ^{-1}\left(e^{a+b x}\right)}{b}","-\frac{2 d (c+d x) \text{PolyLog}\left(2,-e^{a+b x}\right)}{b^2}+\frac{2 d (c+d x) \text{PolyLog}\left(2,e^{a+b x}\right)}{b^2}+\frac{2 d^2 \text{PolyLog}\left(3,-e^{a+b x}\right)}{b^3}-\frac{2 d^2 \text{PolyLog}\left(3,e^{a+b x}\right)}{b^3}-\frac{2 (c+d x)^2 \tanh ^{-1}\left(e^{a+b x}\right)}{b}",1,"(-2*(c + d*x)^2*ArcTanh[E^(a + b*x)])/b - (2*d*(c + d*x)*PolyLog[2, -E^(a + b*x)])/b^2 + (2*d*(c + d*x)*PolyLog[2, E^(a + b*x)])/b^2 + (2*d^2*PolyLog[3, -E^(a + b*x)])/b^3 - (2*d^2*PolyLog[3, E^(a + b*x)])/b^3","A",7,4,14,0.2857,1,"{4182, 2531, 2282, 6589}"
3,1,50,0,0.0398603,"\int (c+d x) \text{csch}(a+b x) \, dx","Int[(c + d*x)*Csch[a + b*x],x]","-\frac{d \text{PolyLog}\left(2,-e^{a+b x}\right)}{b^2}+\frac{d \text{PolyLog}\left(2,e^{a+b x}\right)}{b^2}-\frac{2 (c+d x) \tanh ^{-1}\left(e^{a+b x}\right)}{b}","-\frac{d \text{PolyLog}\left(2,-e^{a+b x}\right)}{b^2}+\frac{d \text{PolyLog}\left(2,e^{a+b x}\right)}{b^2}-\frac{2 (c+d x) \tanh ^{-1}\left(e^{a+b x}\right)}{b}",1,"(-2*(c + d*x)*ArcTanh[E^(a + b*x)])/b - (d*PolyLog[2, -E^(a + b*x)])/b^2 + (d*PolyLog[2, E^(a + b*x)])/b^2","A",5,3,12,0.2500,1,"{4182, 2279, 2391}"
4,0,0,0,0.0175481,"\int \frac{\text{csch}(a+b x)}{x} \, dx","Int[Csch[a + b*x]/x,x]","\int \frac{\text{csch}(a+b x)}{x} \, dx","\text{Int}\left(\frac{\text{csch}(a+b x)}{x},x\right)",0,"Defer[Int][Csch[a + b*x]/x, x]","A",0,0,0,0,-1,"{}"
5,1,103,0,0.2200572,"\int (c+d x)^3 \text{csch}^2(a+b x) \, dx","Int[(c + d*x)^3*Csch[a + b*x]^2,x]","\frac{3 d^2 (c+d x) \text{PolyLog}\left(2,e^{2 (a+b x)}\right)}{b^3}-\frac{3 d^3 \text{PolyLog}\left(3,e^{2 (a+b x)}\right)}{2 b^4}+\frac{3 d (c+d x)^2 \log \left(1-e^{2 (a+b x)}\right)}{b^2}-\frac{(c+d x)^3 \coth (a+b x)}{b}-\frac{(c+d x)^3}{b}","\frac{3 d^2 (c+d x) \text{PolyLog}\left(2,e^{2 (a+b x)}\right)}{b^3}-\frac{3 d^3 \text{PolyLog}\left(3,e^{2 (a+b x)}\right)}{2 b^4}+\frac{3 d (c+d x)^2 \log \left(1-e^{2 (a+b x)}\right)}{b^2}-\frac{(c+d x)^3 \coth (a+b x)}{b}-\frac{(c+d x)^3}{b}",1,"-((c + d*x)^3/b) - ((c + d*x)^3*Coth[a + b*x])/b + (3*d*(c + d*x)^2*Log[1 - E^(2*(a + b*x))])/b^2 + (3*d^2*(c + d*x)*PolyLog[2, E^(2*(a + b*x))])/b^3 - (3*d^3*PolyLog[3, E^(2*(a + b*x))])/(2*b^4)","A",6,6,16,0.3750,1,"{4184, 3716, 2190, 2531, 2282, 6589}"
6,1,74,0,0.1440842,"\int (c+d x)^2 \text{csch}^2(a+b x) \, dx","Int[(c + d*x)^2*Csch[a + b*x]^2,x]","\frac{d^2 \text{PolyLog}\left(2,e^{2 (a+b x)}\right)}{b^3}+\frac{2 d (c+d x) \log \left(1-e^{2 (a+b x)}\right)}{b^2}-\frac{(c+d x)^2 \coth (a+b x)}{b}-\frac{(c+d x)^2}{b}","\frac{d^2 \text{PolyLog}\left(2,e^{2 (a+b x)}\right)}{b^3}+\frac{2 d (c+d x) \log \left(1-e^{2 (a+b x)}\right)}{b^2}-\frac{(c+d x)^2 \coth (a+b x)}{b}-\frac{(c+d x)^2}{b}",1,"-((c + d*x)^2/b) - ((c + d*x)^2*Coth[a + b*x])/b + (2*d*(c + d*x)*Log[1 - E^(2*(a + b*x))])/b^2 + (d^2*PolyLog[2, E^(2*(a + b*x))])/b^3","A",5,5,16,0.3125,1,"{4184, 3716, 2190, 2279, 2391}"
7,1,29,0,0.0310169,"\int (c+d x) \text{csch}^2(a+b x) \, dx","Int[(c + d*x)*Csch[a + b*x]^2,x]","\frac{d \log (\sinh (a+b x))}{b^2}-\frac{(c+d x) \coth (a+b x)}{b}","\frac{d \log (\sinh (a+b x))}{b^2}-\frac{(c+d x) \coth (a+b x)}{b}",1,"-(((c + d*x)*Coth[a + b*x])/b) + (d*Log[Sinh[a + b*x]])/b^2","A",2,2,14,0.1429,1,"{4184, 3475}"
8,0,0,0,0.0298681,"\int \frac{\text{csch}^2(a+b x)}{x} \, dx","Int[Csch[a + b*x]^2/x,x]","\int \frac{\text{csch}^2(a+b x)}{x} \, dx","\text{Int}\left(\frac{\text{csch}^2(a+b x)}{x},x\right)",0,"Defer[Int][Csch[a + b*x]^2/x, x]","A",0,0,0,0,-1,"{}"
9,1,256,0,0.2767247,"\int (c+d x)^3 \text{csch}^3(a+b x) \, dx","Int[(c + d*x)^3*Csch[a + b*x]^3,x]","-\frac{3 d^2 (c+d x) \text{PolyLog}\left(3,-e^{a+b x}\right)}{b^3}+\frac{3 d^2 (c+d x) \text{PolyLog}\left(3,e^{a+b x}\right)}{b^3}+\frac{3 d (c+d x)^2 \text{PolyLog}\left(2,-e^{a+b x}\right)}{2 b^2}-\frac{3 d (c+d x)^2 \text{PolyLog}\left(2,e^{a+b x}\right)}{2 b^2}-\frac{3 d^3 \text{PolyLog}\left(2,-e^{a+b x}\right)}{b^4}+\frac{3 d^3 \text{PolyLog}\left(2,e^{a+b x}\right)}{b^4}+\frac{3 d^3 \text{PolyLog}\left(4,-e^{a+b x}\right)}{b^4}-\frac{3 d^3 \text{PolyLog}\left(4,e^{a+b x}\right)}{b^4}-\frac{6 d^2 (c+d x) \tanh ^{-1}\left(e^{a+b x}\right)}{b^3}-\frac{3 d (c+d x)^2 \text{csch}(a+b x)}{2 b^2}+\frac{(c+d x)^3 \tanh ^{-1}\left(e^{a+b x}\right)}{b}-\frac{(c+d x)^3 \coth (a+b x) \text{csch}(a+b x)}{2 b}","-\frac{3 d^2 (c+d x) \text{PolyLog}\left(3,-e^{a+b x}\right)}{b^3}+\frac{3 d^2 (c+d x) \text{PolyLog}\left(3,e^{a+b x}\right)}{b^3}+\frac{3 d (c+d x)^2 \text{PolyLog}\left(2,-e^{a+b x}\right)}{2 b^2}-\frac{3 d (c+d x)^2 \text{PolyLog}\left(2,e^{a+b x}\right)}{2 b^2}-\frac{3 d^3 \text{PolyLog}\left(2,-e^{a+b x}\right)}{b^4}+\frac{3 d^3 \text{PolyLog}\left(2,e^{a+b x}\right)}{b^4}+\frac{3 d^3 \text{PolyLog}\left(4,-e^{a+b x}\right)}{b^4}-\frac{3 d^3 \text{PolyLog}\left(4,e^{a+b x}\right)}{b^4}-\frac{6 d^2 (c+d x) \tanh ^{-1}\left(e^{a+b x}\right)}{b^3}-\frac{3 d (c+d x)^2 \text{csch}(a+b x)}{2 b^2}+\frac{(c+d x)^3 \tanh ^{-1}\left(e^{a+b x}\right)}{b}-\frac{(c+d x)^3 \coth (a+b x) \text{csch}(a+b x)}{2 b}",1,"(-6*d^2*(c + d*x)*ArcTanh[E^(a + b*x)])/b^3 + ((c + d*x)^3*ArcTanh[E^(a + b*x)])/b - (3*d*(c + d*x)^2*Csch[a + b*x])/(2*b^2) - ((c + d*x)^3*Coth[a + b*x]*Csch[a + b*x])/(2*b) - (3*d^3*PolyLog[2, -E^(a + b*x)])/b^4 + (3*d*(c + d*x)^2*PolyLog[2, -E^(a + b*x)])/(2*b^2) + (3*d^3*PolyLog[2, E^(a + b*x)])/b^4 - (3*d*(c + d*x)^2*PolyLog[2, E^(a + b*x)])/(2*b^2) - (3*d^2*(c + d*x)*PolyLog[3, -E^(a + b*x)])/b^3 + (3*d^2*(c + d*x)*PolyLog[3, E^(a + b*x)])/b^3 + (3*d^3*PolyLog[4, -E^(a + b*x)])/b^4 - (3*d^3*PolyLog[4, E^(a + b*x)])/b^4","A",15,8,16,0.5000,1,"{4186, 4182, 2279, 2391, 2531, 6609, 2282, 6589}"
10,1,154,0,0.1670783,"\int (c+d x)^2 \text{csch}^3(a+b x) \, dx","Int[(c + d*x)^2*Csch[a + b*x]^3,x]","\frac{d (c+d x) \text{PolyLog}\left(2,-e^{a+b x}\right)}{b^2}-\frac{d (c+d x) \text{PolyLog}\left(2,e^{a+b x}\right)}{b^2}-\frac{d^2 \text{PolyLog}\left(3,-e^{a+b x}\right)}{b^3}+\frac{d^2 \text{PolyLog}\left(3,e^{a+b x}\right)}{b^3}-\frac{d (c+d x) \text{csch}(a+b x)}{b^2}-\frac{d^2 \tanh ^{-1}(\cosh (a+b x))}{b^3}+\frac{(c+d x)^2 \tanh ^{-1}\left(e^{a+b x}\right)}{b}-\frac{(c+d x)^2 \coth (a+b x) \text{csch}(a+b x)}{2 b}","\frac{d (c+d x) \text{PolyLog}\left(2,-e^{a+b x}\right)}{b^2}-\frac{d (c+d x) \text{PolyLog}\left(2,e^{a+b x}\right)}{b^2}-\frac{d^2 \text{PolyLog}\left(3,-e^{a+b x}\right)}{b^3}+\frac{d^2 \text{PolyLog}\left(3,e^{a+b x}\right)}{b^3}-\frac{d (c+d x) \text{csch}(a+b x)}{b^2}-\frac{d^2 \tanh ^{-1}(\cosh (a+b x))}{b^3}+\frac{(c+d x)^2 \tanh ^{-1}\left(e^{a+b x}\right)}{b}-\frac{(c+d x)^2 \coth (a+b x) \text{csch}(a+b x)}{2 b}",1,"((c + d*x)^2*ArcTanh[E^(a + b*x)])/b - (d^2*ArcTanh[Cosh[a + b*x]])/b^3 - (d*(c + d*x)*Csch[a + b*x])/b^2 - ((c + d*x)^2*Coth[a + b*x]*Csch[a + b*x])/(2*b) + (d*(c + d*x)*PolyLog[2, -E^(a + b*x)])/b^2 - (d*(c + d*x)*PolyLog[2, E^(a + b*x)])/b^2 - (d^2*PolyLog[3, -E^(a + b*x)])/b^3 + (d^2*PolyLog[3, E^(a + b*x)])/b^3","A",9,6,16,0.3750,1,"{4186, 3770, 4182, 2531, 2282, 6589}"
11,1,92,0,0.0820862,"\int (c+d x) \text{csch}^3(a+b x) \, dx","Int[(c + d*x)*Csch[a + b*x]^3,x]","\frac{d \text{PolyLog}\left(2,-e^{a+b x}\right)}{2 b^2}-\frac{d \text{PolyLog}\left(2,e^{a+b x}\right)}{2 b^2}-\frac{d \text{csch}(a+b x)}{2 b^2}+\frac{(c+d x) \tanh ^{-1}\left(e^{a+b x}\right)}{b}-\frac{(c+d x) \coth (a+b x) \text{csch}(a+b x)}{2 b}","\frac{d \text{PolyLog}\left(2,-e^{a+b x}\right)}{2 b^2}-\frac{d \text{PolyLog}\left(2,e^{a+b x}\right)}{2 b^2}-\frac{d \text{csch}(a+b x)}{2 b^2}+\frac{(c+d x) \tanh ^{-1}\left(e^{a+b x}\right)}{b}-\frac{(c+d x) \coth (a+b x) \text{csch}(a+b x)}{2 b}",1,"((c + d*x)*ArcTanh[E^(a + b*x)])/b - (d*Csch[a + b*x])/(2*b^2) - ((c + d*x)*Coth[a + b*x]*Csch[a + b*x])/(2*b) + (d*PolyLog[2, -E^(a + b*x)])/(2*b^2) - (d*PolyLog[2, E^(a + b*x)])/(2*b^2)","A",6,4,14,0.2857,1,"{4185, 4182, 2279, 2391}"
12,0,0,0,0.0299143,"\int \frac{\text{csch}^3(a+b x)}{x} \, dx","Int[Csch[a + b*x]^3/x,x]","\int \frac{\text{csch}^3(a+b x)}{x} \, dx","\text{Int}\left(\frac{\text{csch}^3(a+b x)}{x},x\right)",0,"Defer[Int][Csch[a + b*x]^3/x, x]","A",0,0,0,0,-1,"{}"
13,1,24,0,0.1083434,"\int \left(\frac{x}{\text{csch}^{\frac{3}{2}}(x)}+\frac{1}{3} x \sqrt{\text{csch}(x)}\right) \, dx","Int[x/Csch[x]^(3/2) + (x*Sqrt[Csch[x]])/3,x]","\frac{2 x \cosh (x)}{3 \sqrt{\text{csch}(x)}}-\frac{4}{9 \text{csch}^{\frac{3}{2}}(x)}","\frac{2 x \cosh (x)}{3 \sqrt{\text{csch}(x)}}-\frac{4}{9 \text{csch}^{\frac{3}{2}}(x)}",1,"-4/(9*Csch[x]^(3/2)) + (2*x*Cosh[x])/(3*Sqrt[Csch[x]])","A",4,2,20,0.1000,1,"{4187, 4189}"
14,1,24,0,0.1135363,"\int \left(\frac{x}{\text{csch}^{\frac{5}{2}}(x)}+\frac{3 x}{5 \sqrt{\text{csch}(x)}}\right) \, dx","Int[x/Csch[x]^(5/2) + (3*x)/(5*Sqrt[Csch[x]]),x]","\frac{2 x \cosh (x)}{5 \text{csch}^{\frac{3}{2}}(x)}-\frac{4}{25 \text{csch}^{\frac{5}{2}}(x)}","\frac{2 x \cosh (x)}{5 \text{csch}^{\frac{3}{2}}(x)}-\frac{4}{25 \text{csch}^{\frac{5}{2}}(x)}",1,"-4/(25*Csch[x]^(5/2)) + (2*x*Cosh[x])/(5*Csch[x]^(3/2))","A",4,2,20,0.1000,1,"{4187, 4189}"
15,1,47,0,0.1244851,"\int \left(\frac{x}{\text{csch}^{\frac{7}{2}}(x)}-\frac{5}{21} x \sqrt{\text{csch}(x)}\right) \, dx","Int[x/Csch[x]^(7/2) - (5*x*Sqrt[Csch[x]])/21,x]","\frac{20}{63 \text{csch}^{\frac{3}{2}}(x)}-\frac{4}{49 \text{csch}^{\frac{7}{2}}(x)}+\frac{2 x \cosh (x)}{7 \text{csch}^{\frac{5}{2}}(x)}-\frac{10 x \cosh (x)}{21 \sqrt{\text{csch}(x)}}","\frac{20}{63 \text{csch}^{\frac{3}{2}}(x)}-\frac{4}{49 \text{csch}^{\frac{7}{2}}(x)}+\frac{2 x \cosh (x)}{7 \text{csch}^{\frac{5}{2}}(x)}-\frac{10 x \cosh (x)}{21 \sqrt{\text{csch}(x)}}",1,"-4/(49*Csch[x]^(7/2)) + (2*x*Cosh[x])/(7*Csch[x]^(5/2)) + 20/(63*Csch[x]^(3/2)) - (10*x*Cosh[x])/(21*Sqrt[Csch[x]])","A",5,2,20,0.1000,1,"{4187, 4189}"
16,1,76,0,0.207747,"\int \left(\frac{x^2}{\text{csch}^{\frac{3}{2}}(x)}+\frac{1}{3} x^2 \sqrt{\text{csch}(x)}\right) \, dx","Int[x^2/Csch[x]^(3/2) + (x^2*Sqrt[Csch[x]])/3,x]","\frac{2 x^2 \cosh (x)}{3 \sqrt{\text{csch}(x)}}-\frac{8 x}{9 \text{csch}^{\frac{3}{2}}(x)}+\frac{16 \cosh (x)}{27 \sqrt{\text{csch}(x)}}-\frac{16}{27} i \sqrt{i \sinh (x)} \sqrt{\text{csch}(x)} F\left(\left.\frac{\pi }{4}-\frac{i x}{2}\right|2\right)","\frac{2 x^2 \cosh (x)}{3 \sqrt{\text{csch}(x)}}-\frac{8 x}{9 \text{csch}^{\frac{3}{2}}(x)}+\frac{16 \cosh (x)}{27 \sqrt{\text{csch}(x)}}-\frac{16}{27} i \sqrt{i \sinh (x)} \sqrt{\text{csch}(x)} F\left(\left.\frac{\pi }{4}-\frac{i x}{2}\right|2\right)",1,"(-8*x)/(9*Csch[x]^(3/2)) + (16*Cosh[x])/(27*Sqrt[Csch[x]]) + (2*x^2*Cosh[x])/(3*Sqrt[Csch[x]]) - ((16*I)/27)*Sqrt[Csch[x]]*EllipticF[Pi/4 - (I/2)*x, 2]*Sqrt[I*Sinh[x]]","A",7,5,24,0.2083,1,"{4188, 4189, 3769, 3771, 2641}"
17,1,448,0,0.7319026,"\int \frac{(e+f x)^3 \cosh (c+d x)}{a+b \text{csch}(c+d x)} \, dx","Int[((e + f*x)^3*Cosh[c + d*x])/(a + b*Csch[c + d*x]),x]","\frac{6 b f^2 (e+f x) \text{PolyLog}\left(3,-\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}\right)}{a^2 d^3}+\frac{6 b f^2 (e+f x) \text{PolyLog}\left(3,-\frac{a e^{c+d x}}{\sqrt{a^2+b^2}+b}\right)}{a^2 d^3}-\frac{3 b f (e+f x)^2 \text{PolyLog}\left(2,-\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}\right)}{a^2 d^2}-\frac{3 b f (e+f x)^2 \text{PolyLog}\left(2,-\frac{a e^{c+d x}}{\sqrt{a^2+b^2}+b}\right)}{a^2 d^2}-\frac{6 b f^3 \text{PolyLog}\left(4,-\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}\right)}{a^2 d^4}-\frac{6 b f^3 \text{PolyLog}\left(4,-\frac{a e^{c+d x}}{\sqrt{a^2+b^2}+b}\right)}{a^2 d^4}-\frac{b (e+f x)^3 \log \left(\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}+1\right)}{a^2 d}-\frac{b (e+f x)^3 \log \left(\frac{a e^{c+d x}}{\sqrt{a^2+b^2}+b}+1\right)}{a^2 d}+\frac{b (e+f x)^4}{4 a^2 f}+\frac{6 f^2 (e+f x) \sinh (c+d x)}{a d^3}-\frac{3 f (e+f x)^2 \cosh (c+d x)}{a d^2}-\frac{6 f^3 \cosh (c+d x)}{a d^4}+\frac{(e+f x)^3 \sinh (c+d x)}{a d}","\frac{6 b f^2 (e+f x) \text{PolyLog}\left(3,-\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}\right)}{a^2 d^3}+\frac{6 b f^2 (e+f x) \text{PolyLog}\left(3,-\frac{a e^{c+d x}}{\sqrt{a^2+b^2}+b}\right)}{a^2 d^3}-\frac{3 b f (e+f x)^2 \text{PolyLog}\left(2,-\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}\right)}{a^2 d^2}-\frac{3 b f (e+f x)^2 \text{PolyLog}\left(2,-\frac{a e^{c+d x}}{\sqrt{a^2+b^2}+b}\right)}{a^2 d^2}-\frac{6 b f^3 \text{PolyLog}\left(4,-\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}\right)}{a^2 d^4}-\frac{6 b f^3 \text{PolyLog}\left(4,-\frac{a e^{c+d x}}{\sqrt{a^2+b^2}+b}\right)}{a^2 d^4}-\frac{b (e+f x)^3 \log \left(\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}+1\right)}{a^2 d}-\frac{b (e+f x)^3 \log \left(\frac{a e^{c+d x}}{\sqrt{a^2+b^2}+b}+1\right)}{a^2 d}+\frac{b (e+f x)^4}{4 a^2 f}+\frac{6 f^2 (e+f x) \sinh (c+d x)}{a d^3}-\frac{3 f (e+f x)^2 \cosh (c+d x)}{a d^2}-\frac{6 f^3 \cosh (c+d x)}{a d^4}+\frac{(e+f x)^3 \sinh (c+d x)}{a d}",1,"(b*(e + f*x)^4)/(4*a^2*f) - (6*f^3*Cosh[c + d*x])/(a*d^4) - (3*f*(e + f*x)^2*Cosh[c + d*x])/(a*d^2) - (b*(e + f*x)^3*Log[1 + (a*E^(c + d*x))/(b - Sqrt[a^2 + b^2])])/(a^2*d) - (b*(e + f*x)^3*Log[1 + (a*E^(c + d*x))/(b + Sqrt[a^2 + b^2])])/(a^2*d) - (3*b*f*(e + f*x)^2*PolyLog[2, -((a*E^(c + d*x))/(b - Sqrt[a^2 + b^2]))])/(a^2*d^2) - (3*b*f*(e + f*x)^2*PolyLog[2, -((a*E^(c + d*x))/(b + Sqrt[a^2 + b^2]))])/(a^2*d^2) + (6*b*f^2*(e + f*x)*PolyLog[3, -((a*E^(c + d*x))/(b - Sqrt[a^2 + b^2]))])/(a^2*d^3) + (6*b*f^2*(e + f*x)*PolyLog[3, -((a*E^(c + d*x))/(b + Sqrt[a^2 + b^2]))])/(a^2*d^3) - (6*b*f^3*PolyLog[4, -((a*E^(c + d*x))/(b - Sqrt[a^2 + b^2]))])/(a^2*d^4) - (6*b*f^3*PolyLog[4, -((a*E^(c + d*x))/(b + Sqrt[a^2 + b^2]))])/(a^2*d^4) + (6*f^2*(e + f*x)*Sinh[c + d*x])/(a*d^3) + ((e + f*x)^3*Sinh[c + d*x])/(a*d)","A",17,10,26,0.3846,1,"{5594, 5579, 3296, 2638, 5561, 2190, 2531, 6609, 2282, 6589}"
18,1,330,0,0.5987212,"\int \frac{(e+f x)^2 \cosh (c+d x)}{a+b \text{csch}(c+d x)} \, dx","Int[((e + f*x)^2*Cosh[c + d*x])/(a + b*Csch[c + d*x]),x]","-\frac{2 b f (e+f x) \text{PolyLog}\left(2,-\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}\right)}{a^2 d^2}-\frac{2 b f (e+f x) \text{PolyLog}\left(2,-\frac{a e^{c+d x}}{\sqrt{a^2+b^2}+b}\right)}{a^2 d^2}+\frac{2 b f^2 \text{PolyLog}\left(3,-\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}\right)}{a^2 d^3}+\frac{2 b f^2 \text{PolyLog}\left(3,-\frac{a e^{c+d x}}{\sqrt{a^2+b^2}+b}\right)}{a^2 d^3}-\frac{b (e+f x)^2 \log \left(\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}+1\right)}{a^2 d}-\frac{b (e+f x)^2 \log \left(\frac{a e^{c+d x}}{\sqrt{a^2+b^2}+b}+1\right)}{a^2 d}+\frac{b (e+f x)^3}{3 a^2 f}-\frac{2 f (e+f x) \cosh (c+d x)}{a d^2}+\frac{2 f^2 \sinh (c+d x)}{a d^3}+\frac{(e+f x)^2 \sinh (c+d x)}{a d}","-\frac{2 b f (e+f x) \text{PolyLog}\left(2,-\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}\right)}{a^2 d^2}-\frac{2 b f (e+f x) \text{PolyLog}\left(2,-\frac{a e^{c+d x}}{\sqrt{a^2+b^2}+b}\right)}{a^2 d^2}+\frac{2 b f^2 \text{PolyLog}\left(3,-\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}\right)}{a^2 d^3}+\frac{2 b f^2 \text{PolyLog}\left(3,-\frac{a e^{c+d x}}{\sqrt{a^2+b^2}+b}\right)}{a^2 d^3}-\frac{b (e+f x)^2 \log \left(\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}+1\right)}{a^2 d}-\frac{b (e+f x)^2 \log \left(\frac{a e^{c+d x}}{\sqrt{a^2+b^2}+b}+1\right)}{a^2 d}+\frac{b (e+f x)^3}{3 a^2 f}-\frac{2 f (e+f x) \cosh (c+d x)}{a d^2}+\frac{2 f^2 \sinh (c+d x)}{a d^3}+\frac{(e+f x)^2 \sinh (c+d x)}{a d}",1,"(b*(e + f*x)^3)/(3*a^2*f) - (2*f*(e + f*x)*Cosh[c + d*x])/(a*d^2) - (b*(e + f*x)^2*Log[1 + (a*E^(c + d*x))/(b - Sqrt[a^2 + b^2])])/(a^2*d) - (b*(e + f*x)^2*Log[1 + (a*E^(c + d*x))/(b + Sqrt[a^2 + b^2])])/(a^2*d) - (2*b*f*(e + f*x)*PolyLog[2, -((a*E^(c + d*x))/(b - Sqrt[a^2 + b^2]))])/(a^2*d^2) - (2*b*f*(e + f*x)*PolyLog[2, -((a*E^(c + d*x))/(b + Sqrt[a^2 + b^2]))])/(a^2*d^2) + (2*b*f^2*PolyLog[3, -((a*E^(c + d*x))/(b - Sqrt[a^2 + b^2]))])/(a^2*d^3) + (2*b*f^2*PolyLog[3, -((a*E^(c + d*x))/(b + Sqrt[a^2 + b^2]))])/(a^2*d^3) + (2*f^2*Sinh[c + d*x])/(a*d^3) + ((e + f*x)^2*Sinh[c + d*x])/(a*d)","A",14,9,26,0.3462,1,"{5594, 5579, 3296, 2637, 5561, 2190, 2531, 2282, 6589}"
19,1,212,0,0.3512539,"\int \frac{(e+f x) \cosh (c+d x)}{a+b \text{csch}(c+d x)} \, dx","Int[((e + f*x)*Cosh[c + d*x])/(a + b*Csch[c + d*x]),x]","-\frac{b f \text{PolyLog}\left(2,-\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}\right)}{a^2 d^2}-\frac{b f \text{PolyLog}\left(2,-\frac{a e^{c+d x}}{\sqrt{a^2+b^2}+b}\right)}{a^2 d^2}-\frac{b (e+f x) \log \left(\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}+1\right)}{a^2 d}-\frac{b (e+f x) \log \left(\frac{a e^{c+d x}}{\sqrt{a^2+b^2}+b}+1\right)}{a^2 d}+\frac{b (e+f x)^2}{2 a^2 f}-\frac{f \cosh (c+d x)}{a d^2}+\frac{(e+f x) \sinh (c+d x)}{a d}","-\frac{b f \text{PolyLog}\left(2,-\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}\right)}{a^2 d^2}-\frac{b f \text{PolyLog}\left(2,-\frac{a e^{c+d x}}{\sqrt{a^2+b^2}+b}\right)}{a^2 d^2}-\frac{b (e+f x) \log \left(\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}+1\right)}{a^2 d}-\frac{b (e+f x) \log \left(\frac{a e^{c+d x}}{\sqrt{a^2+b^2}+b}+1\right)}{a^2 d}+\frac{b (e+f x)^2}{2 a^2 f}-\frac{f \cosh (c+d x)}{a d^2}+\frac{(e+f x) \sinh (c+d x)}{a d}",1,"(b*(e + f*x)^2)/(2*a^2*f) - (f*Cosh[c + d*x])/(a*d^2) - (b*(e + f*x)*Log[1 + (a*E^(c + d*x))/(b - Sqrt[a^2 + b^2])])/(a^2*d) - (b*(e + f*x)*Log[1 + (a*E^(c + d*x))/(b + Sqrt[a^2 + b^2])])/(a^2*d) - (b*f*PolyLog[2, -((a*E^(c + d*x))/(b - Sqrt[a^2 + b^2]))])/(a^2*d^2) - (b*f*PolyLog[2, -((a*E^(c + d*x))/(b + Sqrt[a^2 + b^2]))])/(a^2*d^2) + ((e + f*x)*Sinh[c + d*x])/(a*d)","A",11,8,24,0.3333,1,"{5594, 5579, 3296, 2638, 5561, 2190, 2279, 2391}"
20,1,34,0,0.0890107,"\int \frac{\cosh (c+d x)}{a+b \text{csch}(c+d x)} \, dx","Int[Cosh[c + d*x]/(a + b*Csch[c + d*x]),x]","\frac{\sinh (c+d x)}{a d}-\frac{b \log (a \sinh (c+d x)+b)}{a^2 d}","\frac{\sinh (c+d x)}{a d}-\frac{b \log (a \sinh (c+d x)+b)}{a^2 d}",1,"-((b*Log[b + a*Sinh[c + d*x]])/(a^2*d)) + Sinh[c + d*x]/(a*d)","A",5,4,19,0.2105,1,"{3872, 2833, 12, 43}"
21,0,0,0,0.1079853,"\int \frac{\cosh (c+d x)}{(e+f x) (a+b \text{csch}(c+d x))} \, dx","Int[Cosh[c + d*x]/((e + f*x)*(a + b*Csch[c + d*x])),x]","\int \frac{\cosh (c+d x)}{(e+f x) (a+b \text{csch}(c+d x))} \, dx","\text{Int}\left(\frac{\sinh (c+d x) \cosh (c+d x)}{(e+f x) (a \sinh (c+d x)+b)},x\right)",0,"Defer[Int][(Cosh[c + d*x]*Sinh[c + d*x])/((e + f*x)*(b + a*Sinh[c + d*x])), x]","A",0,0,0,0,-1,"{}"
22,1,696,0,1.2830051,"\int \frac{(e+f x)^3 \cosh ^2(c+d x)}{a+b \text{csch}(c+d x)} \, dx","Int[((e + f*x)^3*Cosh[c + d*x]^2)/(a + b*Csch[c + d*x]),x]","\frac{6 b f^2 \sqrt{a^2+b^2} (e+f x) \text{PolyLog}\left(3,-\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}\right)}{a^3 d^3}-\frac{6 b f^2 \sqrt{a^2+b^2} (e+f x) \text{PolyLog}\left(3,-\frac{a e^{c+d x}}{\sqrt{a^2+b^2}+b}\right)}{a^3 d^3}-\frac{3 b f \sqrt{a^2+b^2} (e+f x)^2 \text{PolyLog}\left(2,-\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}\right)}{a^3 d^2}+\frac{3 b f \sqrt{a^2+b^2} (e+f x)^2 \text{PolyLog}\left(2,-\frac{a e^{c+d x}}{\sqrt{a^2+b^2}+b}\right)}{a^3 d^2}-\frac{6 b f^3 \sqrt{a^2+b^2} \text{PolyLog}\left(4,-\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}\right)}{a^3 d^4}+\frac{6 b f^3 \sqrt{a^2+b^2} \text{PolyLog}\left(4,-\frac{a e^{c+d x}}{\sqrt{a^2+b^2}+b}\right)}{a^3 d^4}-\frac{b \sqrt{a^2+b^2} (e+f x)^3 \log \left(\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}+1\right)}{a^3 d}+\frac{b \sqrt{a^2+b^2} (e+f x)^3 \log \left(\frac{a e^{c+d x}}{\sqrt{a^2+b^2}+b}+1\right)}{a^3 d}+\frac{b^2 (e+f x)^4}{4 a^3 f}-\frac{6 b f^2 (e+f x) \cosh (c+d x)}{a^2 d^3}+\frac{3 b f (e+f x)^2 \sinh (c+d x)}{a^2 d^2}+\frac{6 b f^3 \sinh (c+d x)}{a^2 d^4}-\frac{b (e+f x)^3 \cosh (c+d x)}{a^2 d}+\frac{3 f^2 (e+f x) \sinh (c+d x) \cosh (c+d x)}{4 a d^3}-\frac{3 f (e+f x)^2 \cosh ^2(c+d x)}{4 a d^2}-\frac{3 f^3 \cosh ^2(c+d x)}{8 a d^4}+\frac{(e+f x)^3 \sinh (c+d x) \cosh (c+d x)}{2 a d}+\frac{3 e f^2 x}{4 a d^2}+\frac{3 f^3 x^2}{8 a d^2}+\frac{(e+f x)^4}{8 a f}","\frac{6 b f^2 \sqrt{a^2+b^2} (e+f x) \text{PolyLog}\left(3,-\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}\right)}{a^3 d^3}-\frac{6 b f^2 \sqrt{a^2+b^2} (e+f x) \text{PolyLog}\left(3,-\frac{a e^{c+d x}}{\sqrt{a^2+b^2}+b}\right)}{a^3 d^3}-\frac{3 b f \sqrt{a^2+b^2} (e+f x)^2 \text{PolyLog}\left(2,-\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}\right)}{a^3 d^2}+\frac{3 b f \sqrt{a^2+b^2} (e+f x)^2 \text{PolyLog}\left(2,-\frac{a e^{c+d x}}{\sqrt{a^2+b^2}+b}\right)}{a^3 d^2}-\frac{6 b f^3 \sqrt{a^2+b^2} \text{PolyLog}\left(4,-\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}\right)}{a^3 d^4}+\frac{6 b f^3 \sqrt{a^2+b^2} \text{PolyLog}\left(4,-\frac{a e^{c+d x}}{\sqrt{a^2+b^2}+b}\right)}{a^3 d^4}-\frac{b \sqrt{a^2+b^2} (e+f x)^3 \log \left(\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}+1\right)}{a^3 d}+\frac{b \sqrt{a^2+b^2} (e+f x)^3 \log \left(\frac{a e^{c+d x}}{\sqrt{a^2+b^2}+b}+1\right)}{a^3 d}+\frac{b^2 (e+f x)^4}{4 a^3 f}-\frac{6 b f^2 (e+f x) \cosh (c+d x)}{a^2 d^3}+\frac{3 b f (e+f x)^2 \sinh (c+d x)}{a^2 d^2}+\frac{6 b f^3 \sinh (c+d x)}{a^2 d^4}-\frac{b (e+f x)^3 \cosh (c+d x)}{a^2 d}+\frac{3 f^2 (e+f x) \sinh (c+d x) \cosh (c+d x)}{4 a d^3}-\frac{3 f (e+f x)^2 \cosh ^2(c+d x)}{4 a d^2}-\frac{3 f^3 \cosh ^2(c+d x)}{8 a d^4}+\frac{(e+f x)^3 \sinh (c+d x) \cosh (c+d x)}{2 a d}+\frac{3 e f^2 x}{4 a d^2}+\frac{3 f^3 x^2}{8 a d^2}+\frac{(e+f x)^4}{8 a f}",1,"(3*e*f^2*x)/(4*a*d^2) + (3*f^3*x^2)/(8*a*d^2) + (e + f*x)^4/(8*a*f) + (b^2*(e + f*x)^4)/(4*a^3*f) - (6*b*f^2*(e + f*x)*Cosh[c + d*x])/(a^2*d^3) - (b*(e + f*x)^3*Cosh[c + d*x])/(a^2*d) - (3*f^3*Cosh[c + d*x]^2)/(8*a*d^4) - (3*f*(e + f*x)^2*Cosh[c + d*x]^2)/(4*a*d^2) - (b*Sqrt[a^2 + b^2]*(e + f*x)^3*Log[1 + (a*E^(c + d*x))/(b - Sqrt[a^2 + b^2])])/(a^3*d) + (b*Sqrt[a^2 + b^2]*(e + f*x)^3*Log[1 + (a*E^(c + d*x))/(b + Sqrt[a^2 + b^2])])/(a^3*d) - (3*b*Sqrt[a^2 + b^2]*f*(e + f*x)^2*PolyLog[2, -((a*E^(c + d*x))/(b - Sqrt[a^2 + b^2]))])/(a^3*d^2) + (3*b*Sqrt[a^2 + b^2]*f*(e + f*x)^2*PolyLog[2, -((a*E^(c + d*x))/(b + Sqrt[a^2 + b^2]))])/(a^3*d^2) + (6*b*Sqrt[a^2 + b^2]*f^2*(e + f*x)*PolyLog[3, -((a*E^(c + d*x))/(b - Sqrt[a^2 + b^2]))])/(a^3*d^3) - (6*b*Sqrt[a^2 + b^2]*f^2*(e + f*x)*PolyLog[3, -((a*E^(c + d*x))/(b + Sqrt[a^2 + b^2]))])/(a^3*d^3) - (6*b*Sqrt[a^2 + b^2]*f^3*PolyLog[4, -((a*E^(c + d*x))/(b - Sqrt[a^2 + b^2]))])/(a^3*d^4) + (6*b*Sqrt[a^2 + b^2]*f^3*PolyLog[4, -((a*E^(c + d*x))/(b + Sqrt[a^2 + b^2]))])/(a^3*d^4) + (6*b*f^3*Sinh[c + d*x])/(a^2*d^4) + (3*b*f*(e + f*x)^2*Sinh[c + d*x])/(a^2*d^2) + (3*f^2*(e + f*x)*Cosh[c + d*x]*Sinh[c + d*x])/(4*a*d^3) + ((e + f*x)^3*Cosh[c + d*x]*Sinh[c + d*x])/(2*a*d)","A",24,15,28,0.5357,1,"{5594, 5579, 3311, 32, 3310, 5565, 3296, 2637, 3322, 2264, 2190, 2531, 6609, 2282, 6589}"
23,1,510,0,1.1089958,"\int \frac{(e+f x)^2 \cosh ^2(c+d x)}{a+b \text{csch}(c+d x)} \, dx","Int[((e + f*x)^2*Cosh[c + d*x]^2)/(a + b*Csch[c + d*x]),x]","-\frac{2 b f \sqrt{a^2+b^2} (e+f x) \text{PolyLog}\left(2,-\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}\right)}{a^3 d^2}+\frac{2 b f \sqrt{a^2+b^2} (e+f x) \text{PolyLog}\left(2,-\frac{a e^{c+d x}}{\sqrt{a^2+b^2}+b}\right)}{a^3 d^2}+\frac{2 b f^2 \sqrt{a^2+b^2} \text{PolyLog}\left(3,-\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}\right)}{a^3 d^3}-\frac{2 b f^2 \sqrt{a^2+b^2} \text{PolyLog}\left(3,-\frac{a e^{c+d x}}{\sqrt{a^2+b^2}+b}\right)}{a^3 d^3}-\frac{b \sqrt{a^2+b^2} (e+f x)^2 \log \left(\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}+1\right)}{a^3 d}+\frac{b \sqrt{a^2+b^2} (e+f x)^2 \log \left(\frac{a e^{c+d x}}{\sqrt{a^2+b^2}+b}+1\right)}{a^3 d}+\frac{b^2 (e+f x)^3}{3 a^3 f}+\frac{2 b f (e+f x) \sinh (c+d x)}{a^2 d^2}-\frac{2 b f^2 \cosh (c+d x)}{a^2 d^3}-\frac{b (e+f x)^2 \cosh (c+d x)}{a^2 d}-\frac{f (e+f x) \cosh ^2(c+d x)}{2 a d^2}+\frac{f^2 \sinh (c+d x) \cosh (c+d x)}{4 a d^3}+\frac{(e+f x)^2 \sinh (c+d x) \cosh (c+d x)}{2 a d}+\frac{f^2 x}{4 a d^2}+\frac{(e+f x)^3}{6 a f}","-\frac{2 b f \sqrt{a^2+b^2} (e+f x) \text{PolyLog}\left(2,-\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}\right)}{a^3 d^2}+\frac{2 b f \sqrt{a^2+b^2} (e+f x) \text{PolyLog}\left(2,-\frac{a e^{c+d x}}{\sqrt{a^2+b^2}+b}\right)}{a^3 d^2}+\frac{2 b f^2 \sqrt{a^2+b^2} \text{PolyLog}\left(3,-\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}\right)}{a^3 d^3}-\frac{2 b f^2 \sqrt{a^2+b^2} \text{PolyLog}\left(3,-\frac{a e^{c+d x}}{\sqrt{a^2+b^2}+b}\right)}{a^3 d^3}-\frac{b \sqrt{a^2+b^2} (e+f x)^2 \log \left(\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}+1\right)}{a^3 d}+\frac{b \sqrt{a^2+b^2} (e+f x)^2 \log \left(\frac{a e^{c+d x}}{\sqrt{a^2+b^2}+b}+1\right)}{a^3 d}+\frac{b^2 (e+f x)^3}{3 a^3 f}+\frac{2 b f (e+f x) \sinh (c+d x)}{a^2 d^2}-\frac{2 b f^2 \cosh (c+d x)}{a^2 d^3}-\frac{b (e+f x)^2 \cosh (c+d x)}{a^2 d}-\frac{f (e+f x) \cosh ^2(c+d x)}{2 a d^2}+\frac{f^2 \sinh (c+d x) \cosh (c+d x)}{4 a d^3}+\frac{(e+f x)^2 \sinh (c+d x) \cosh (c+d x)}{2 a d}+\frac{f^2 x}{4 a d^2}+\frac{(e+f x)^3}{6 a f}",1,"(f^2*x)/(4*a*d^2) + (e + f*x)^3/(6*a*f) + (b^2*(e + f*x)^3)/(3*a^3*f) - (2*b*f^2*Cosh[c + d*x])/(a^2*d^3) - (b*(e + f*x)^2*Cosh[c + d*x])/(a^2*d) - (f*(e + f*x)*Cosh[c + d*x]^2)/(2*a*d^2) - (b*Sqrt[a^2 + b^2]*(e + f*x)^2*Log[1 + (a*E^(c + d*x))/(b - Sqrt[a^2 + b^2])])/(a^3*d) + (b*Sqrt[a^2 + b^2]*(e + f*x)^2*Log[1 + (a*E^(c + d*x))/(b + Sqrt[a^2 + b^2])])/(a^3*d) - (2*b*Sqrt[a^2 + b^2]*f*(e + f*x)*PolyLog[2, -((a*E^(c + d*x))/(b - Sqrt[a^2 + b^2]))])/(a^3*d^2) + (2*b*Sqrt[a^2 + b^2]*f*(e + f*x)*PolyLog[2, -((a*E^(c + d*x))/(b + Sqrt[a^2 + b^2]))])/(a^3*d^2) + (2*b*Sqrt[a^2 + b^2]*f^2*PolyLog[3, -((a*E^(c + d*x))/(b - Sqrt[a^2 + b^2]))])/(a^3*d^3) - (2*b*Sqrt[a^2 + b^2]*f^2*PolyLog[3, -((a*E^(c + d*x))/(b + Sqrt[a^2 + b^2]))])/(a^3*d^3) + (2*b*f*(e + f*x)*Sinh[c + d*x])/(a^2*d^2) + (f^2*Cosh[c + d*x]*Sinh[c + d*x])/(4*a*d^3) + ((e + f*x)^2*Cosh[c + d*x]*Sinh[c + d*x])/(2*a*d)","A",21,15,28,0.5357,1,"{5594, 5579, 3311, 32, 2635, 8, 5565, 3296, 2638, 3322, 2264, 2190, 2531, 2282, 6589}"
24,1,327,0,0.6397111,"\int \frac{(e+f x) \cosh ^2(c+d x)}{a+b \text{csch}(c+d x)} \, dx","Int[((e + f*x)*Cosh[c + d*x]^2)/(a + b*Csch[c + d*x]),x]","-\frac{b f \sqrt{a^2+b^2} \text{PolyLog}\left(2,-\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}\right)}{a^3 d^2}+\frac{b f \sqrt{a^2+b^2} \text{PolyLog}\left(2,-\frac{a e^{c+d x}}{\sqrt{a^2+b^2}+b}\right)}{a^3 d^2}-\frac{b \sqrt{a^2+b^2} (e+f x) \log \left(\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}+1\right)}{a^3 d}+\frac{b \sqrt{a^2+b^2} (e+f x) \log \left(\frac{a e^{c+d x}}{\sqrt{a^2+b^2}+b}+1\right)}{a^3 d}+\frac{b^2 e x}{a^3}+\frac{b^2 f x^2}{2 a^3}+\frac{b f \sinh (c+d x)}{a^2 d^2}-\frac{b (e+f x) \cosh (c+d x)}{a^2 d}-\frac{f \cosh ^2(c+d x)}{4 a d^2}+\frac{(e+f x) \sinh (c+d x) \cosh (c+d x)}{2 a d}+\frac{e x}{2 a}+\frac{f x^2}{4 a}","-\frac{b f \sqrt{a^2+b^2} \text{PolyLog}\left(2,-\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}\right)}{a^3 d^2}+\frac{b f \sqrt{a^2+b^2} \text{PolyLog}\left(2,-\frac{a e^{c+d x}}{\sqrt{a^2+b^2}+b}\right)}{a^3 d^2}-\frac{b \sqrt{a^2+b^2} (e+f x) \log \left(\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}+1\right)}{a^3 d}+\frac{b \sqrt{a^2+b^2} (e+f x) \log \left(\frac{a e^{c+d x}}{\sqrt{a^2+b^2}+b}+1\right)}{a^3 d}+\frac{b^2 e x}{a^3}+\frac{b^2 f x^2}{2 a^3}+\frac{b f \sinh (c+d x)}{a^2 d^2}-\frac{b (e+f x) \cosh (c+d x)}{a^2 d}-\frac{f \cosh ^2(c+d x)}{4 a d^2}+\frac{(e+f x) \sinh (c+d x) \cosh (c+d x)}{2 a d}+\frac{e x}{2 a}+\frac{f x^2}{4 a}",1,"(e*x)/(2*a) + (b^2*e*x)/a^3 + (f*x^2)/(4*a) + (b^2*f*x^2)/(2*a^3) - (b*(e + f*x)*Cosh[c + d*x])/(a^2*d) - (f*Cosh[c + d*x]^2)/(4*a*d^2) - (b*Sqrt[a^2 + b^2]*(e + f*x)*Log[1 + (a*E^(c + d*x))/(b - Sqrt[a^2 + b^2])])/(a^3*d) + (b*Sqrt[a^2 + b^2]*(e + f*x)*Log[1 + (a*E^(c + d*x))/(b + Sqrt[a^2 + b^2])])/(a^3*d) - (b*Sqrt[a^2 + b^2]*f*PolyLog[2, -((a*E^(c + d*x))/(b - Sqrt[a^2 + b^2]))])/(a^3*d^2) + (b*Sqrt[a^2 + b^2]*f*PolyLog[2, -((a*E^(c + d*x))/(b + Sqrt[a^2 + b^2]))])/(a^3*d^2) + (b*f*Sinh[c + d*x])/(a^2*d^2) + ((e + f*x)*Cosh[c + d*x]*Sinh[c + d*x])/(2*a*d)","A",16,11,26,0.4231,1,"{5594, 5579, 3310, 5565, 3296, 2637, 3322, 2264, 2190, 2279, 2391}"
25,1,95,0,0.2497326,"\int \frac{\cosh ^2(c+d x)}{a+b \text{csch}(c+d x)} \, dx","Int[Cosh[c + d*x]^2/(a + b*Csch[c + d*x]),x]","\frac{2 b \sqrt{a^2+b^2} \tanh ^{-1}\left(\frac{a-b \tanh \left(\frac{1}{2} (c+d x)\right)}{\sqrt{a^2+b^2}}\right)}{a^3 d}+\frac{x \left(a^2+2 b^2\right)}{2 a^3}-\frac{\cosh (c+d x) (2 b-a \sinh (c+d x))}{2 a^2 d}","\frac{2 b \sqrt{a^2+b^2} \tanh ^{-1}\left(\frac{a-b \tanh \left(\frac{1}{2} (c+d x)\right)}{\sqrt{a^2+b^2}}\right)}{a^3 d}+\frac{x \left(a^2+2 b^2\right)}{2 a^3}-\frac{\cosh (c+d x) (2 b-a \sinh (c+d x))}{2 a^2 d}",1,"((a^2 + 2*b^2)*x)/(2*a^3) + (2*b*Sqrt[a^2 + b^2]*ArcTanh[(a - b*Tanh[(c + d*x)/2])/Sqrt[a^2 + b^2]])/(a^3*d) - (Cosh[c + d*x]*(2*b - a*Sinh[c + d*x]))/(2*a^2*d)","A",6,6,21,0.2857,1,"{3872, 2865, 2735, 2660, 618, 206}"
26,1,864,0,1.1884624,"\int \frac{(e+f x)^3 \cosh ^3(c+d x)}{a+b \text{csch}(c+d x)} \, dx","Int[((e + f*x)^3*Cosh[c + d*x]^3)/(a + b*Csch[c + d*x]),x]","\frac{b \left(a^2+b^2\right) (e+f x)^4}{4 a^4 f}-\frac{b \sinh ^2(c+d x) (e+f x)^3}{2 a^2 d}-\frac{b \left(a^2+b^2\right) \log \left(\frac{e^{c+d x} a}{b-\sqrt{a^2+b^2}}+1\right) (e+f x)^3}{a^4 d}-\frac{b \left(a^2+b^2\right) \log \left(\frac{e^{c+d x} a}{b+\sqrt{a^2+b^2}}+1\right) (e+f x)^3}{a^4 d}+\frac{\cosh ^2(c+d x) \sinh (c+d x) (e+f x)^3}{3 a d}+\frac{b^2 \sinh (c+d x) (e+f x)^3}{a^3 d}+\frac{2 \sinh (c+d x) (e+f x)^3}{3 a d}-\frac{b (e+f x)^3}{4 a^2 d}-\frac{f \cosh ^3(c+d x) (e+f x)^2}{3 a d^2}-\frac{3 b^2 f \cosh (c+d x) (e+f x)^2}{a^3 d^2}-\frac{2 f \cosh (c+d x) (e+f x)^2}{a d^2}-\frac{3 b \left(a^2+b^2\right) f \text{PolyLog}\left(2,-\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}\right) (e+f x)^2}{a^4 d^2}-\frac{3 b \left(a^2+b^2\right) f \text{PolyLog}\left(2,-\frac{a e^{c+d x}}{b+\sqrt{a^2+b^2}}\right) (e+f x)^2}{a^4 d^2}+\frac{3 b f \cosh (c+d x) \sinh (c+d x) (e+f x)^2}{4 a^2 d^2}-\frac{3 b f^2 \sinh ^2(c+d x) (e+f x)}{4 a^2 d^3}+\frac{6 b \left(a^2+b^2\right) f^2 \text{PolyLog}\left(3,-\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}\right) (e+f x)}{a^4 d^3}+\frac{6 b \left(a^2+b^2\right) f^2 \text{PolyLog}\left(3,-\frac{a e^{c+d x}}{b+\sqrt{a^2+b^2}}\right) (e+f x)}{a^4 d^3}+\frac{6 b^2 f^2 \sinh (c+d x) (e+f x)}{a^3 d^3}+\frac{40 f^2 \sinh (c+d x) (e+f x)}{9 a d^3}+\frac{2 f^2 \cosh ^2(c+d x) \sinh (c+d x) (e+f x)}{9 a d^3}-\frac{2 f^3 \cosh ^3(c+d x)}{27 a d^4}-\frac{3 b f^3 x}{8 a^2 d^3}-\frac{6 b^2 f^3 \cosh (c+d x)}{a^3 d^4}-\frac{40 f^3 \cosh (c+d x)}{9 a d^4}-\frac{6 b \left(a^2+b^2\right) f^3 \text{PolyLog}\left(4,-\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}\right)}{a^4 d^4}-\frac{6 b \left(a^2+b^2\right) f^3 \text{PolyLog}\left(4,-\frac{a e^{c+d x}}{b+\sqrt{a^2+b^2}}\right)}{a^4 d^4}+\frac{3 b f^3 \cosh (c+d x) \sinh (c+d x)}{8 a^2 d^4}","\frac{b \left(a^2+b^2\right) (e+f x)^4}{4 a^4 f}-\frac{b \sinh ^2(c+d x) (e+f x)^3}{2 a^2 d}-\frac{b \left(a^2+b^2\right) \log \left(\frac{e^{c+d x} a}{b-\sqrt{a^2+b^2}}+1\right) (e+f x)^3}{a^4 d}-\frac{b \left(a^2+b^2\right) \log \left(\frac{e^{c+d x} a}{b+\sqrt{a^2+b^2}}+1\right) (e+f x)^3}{a^4 d}+\frac{\cosh ^2(c+d x) \sinh (c+d x) (e+f x)^3}{3 a d}+\frac{b^2 \sinh (c+d x) (e+f x)^3}{a^3 d}+\frac{2 \sinh (c+d x) (e+f x)^3}{3 a d}-\frac{b (e+f x)^3}{4 a^2 d}-\frac{f \cosh ^3(c+d x) (e+f x)^2}{3 a d^2}-\frac{3 b^2 f \cosh (c+d x) (e+f x)^2}{a^3 d^2}-\frac{2 f \cosh (c+d x) (e+f x)^2}{a d^2}-\frac{3 b \left(a^2+b^2\right) f \text{PolyLog}\left(2,-\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}\right) (e+f x)^2}{a^4 d^2}-\frac{3 b \left(a^2+b^2\right) f \text{PolyLog}\left(2,-\frac{a e^{c+d x}}{b+\sqrt{a^2+b^2}}\right) (e+f x)^2}{a^4 d^2}+\frac{3 b f \cosh (c+d x) \sinh (c+d x) (e+f x)^2}{4 a^2 d^2}-\frac{3 b f^2 \sinh ^2(c+d x) (e+f x)}{4 a^2 d^3}+\frac{6 b \left(a^2+b^2\right) f^2 \text{PolyLog}\left(3,-\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}\right) (e+f x)}{a^4 d^3}+\frac{6 b \left(a^2+b^2\right) f^2 \text{PolyLog}\left(3,-\frac{a e^{c+d x}}{b+\sqrt{a^2+b^2}}\right) (e+f x)}{a^4 d^3}+\frac{6 b^2 f^2 \sinh (c+d x) (e+f x)}{a^3 d^3}+\frac{40 f^2 \sinh (c+d x) (e+f x)}{9 a d^3}+\frac{2 f^2 \cosh ^2(c+d x) \sinh (c+d x) (e+f x)}{9 a d^3}-\frac{2 f^3 \cosh ^3(c+d x)}{27 a d^4}-\frac{3 b f^3 x}{8 a^2 d^3}-\frac{6 b^2 f^3 \cosh (c+d x)}{a^3 d^4}-\frac{40 f^3 \cosh (c+d x)}{9 a d^4}-\frac{6 b \left(a^2+b^2\right) f^3 \text{PolyLog}\left(4,-\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}\right)}{a^4 d^4}-\frac{6 b \left(a^2+b^2\right) f^3 \text{PolyLog}\left(4,-\frac{a e^{c+d x}}{b+\sqrt{a^2+b^2}}\right)}{a^4 d^4}+\frac{3 b f^3 \cosh (c+d x) \sinh (c+d x)}{8 a^2 d^4}",1,"(-3*b*f^3*x)/(8*a^2*d^3) - (b*(e + f*x)^3)/(4*a^2*d) + (b*(a^2 + b^2)*(e + f*x)^4)/(4*a^4*f) - (40*f^3*Cosh[c + d*x])/(9*a*d^4) - (6*b^2*f^3*Cosh[c + d*x])/(a^3*d^4) - (2*f*(e + f*x)^2*Cosh[c + d*x])/(a*d^2) - (3*b^2*f*(e + f*x)^2*Cosh[c + d*x])/(a^3*d^2) - (2*f^3*Cosh[c + d*x]^3)/(27*a*d^4) - (f*(e + f*x)^2*Cosh[c + d*x]^3)/(3*a*d^2) - (b*(a^2 + b^2)*(e + f*x)^3*Log[1 + (a*E^(c + d*x))/(b - Sqrt[a^2 + b^2])])/(a^4*d) - (b*(a^2 + b^2)*(e + f*x)^3*Log[1 + (a*E^(c + d*x))/(b + Sqrt[a^2 + b^2])])/(a^4*d) - (3*b*(a^2 + b^2)*f*(e + f*x)^2*PolyLog[2, -((a*E^(c + d*x))/(b - Sqrt[a^2 + b^2]))])/(a^4*d^2) - (3*b*(a^2 + b^2)*f*(e + f*x)^2*PolyLog[2, -((a*E^(c + d*x))/(b + Sqrt[a^2 + b^2]))])/(a^4*d^2) + (6*b*(a^2 + b^2)*f^2*(e + f*x)*PolyLog[3, -((a*E^(c + d*x))/(b - Sqrt[a^2 + b^2]))])/(a^4*d^3) + (6*b*(a^2 + b^2)*f^2*(e + f*x)*PolyLog[3, -((a*E^(c + d*x))/(b + Sqrt[a^2 + b^2]))])/(a^4*d^3) - (6*b*(a^2 + b^2)*f^3*PolyLog[4, -((a*E^(c + d*x))/(b - Sqrt[a^2 + b^2]))])/(a^4*d^4) - (6*b*(a^2 + b^2)*f^3*PolyLog[4, -((a*E^(c + d*x))/(b + Sqrt[a^2 + b^2]))])/(a^4*d^4) + (40*f^2*(e + f*x)*Sinh[c + d*x])/(9*a*d^3) + (6*b^2*f^2*(e + f*x)*Sinh[c + d*x])/(a^3*d^3) + (2*(e + f*x)^3*Sinh[c + d*x])/(3*a*d) + (b^2*(e + f*x)^3*Sinh[c + d*x])/(a^3*d) + (3*b*f^3*Cosh[c + d*x]*Sinh[c + d*x])/(8*a^2*d^4) + (3*b*f*(e + f*x)^2*Cosh[c + d*x]*Sinh[c + d*x])/(4*a^2*d^2) + (2*f^2*(e + f*x)*Cosh[c + d*x]^2*Sinh[c + d*x])/(9*a*d^3) + ((e + f*x)^3*Cosh[c + d*x]^2*Sinh[c + d*x])/(3*a*d) - (3*b*f^2*(e + f*x)*Sinh[c + d*x]^2)/(4*a^2*d^3) - (b*(e + f*x)^3*Sinh[c + d*x]^2)/(2*a^2*d)","A",31,17,28,0.6071,1,"{5594, 5579, 3311, 3296, 2638, 3310, 5565, 5446, 32, 2635, 8, 5561, 2190, 2531, 6609, 2282, 6589}"
27,1,636,0,0.9725303,"\int \frac{(e+f x)^2 \cosh ^3(c+d x)}{a+b \text{csch}(c+d x)} \, dx","Int[((e + f*x)^2*Cosh[c + d*x]^3)/(a + b*Csch[c + d*x]),x]","-\frac{2 b f \left(a^2+b^2\right) (e+f x) \text{PolyLog}\left(2,-\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}\right)}{a^4 d^2}-\frac{2 b f \left(a^2+b^2\right) (e+f x) \text{PolyLog}\left(2,-\frac{a e^{c+d x}}{\sqrt{a^2+b^2}+b}\right)}{a^4 d^2}+\frac{2 b f^2 \left(a^2+b^2\right) \text{PolyLog}\left(3,-\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}\right)}{a^4 d^3}+\frac{2 b f^2 \left(a^2+b^2\right) \text{PolyLog}\left(3,-\frac{a e^{c+d x}}{\sqrt{a^2+b^2}+b}\right)}{a^4 d^3}-\frac{2 b^2 f (e+f x) \cosh (c+d x)}{a^3 d^2}+\frac{2 b^2 f^2 \sinh (c+d x)}{a^3 d^3}-\frac{b \left(a^2+b^2\right) (e+f x)^2 \log \left(\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}+1\right)}{a^4 d}-\frac{b \left(a^2+b^2\right) (e+f x)^2 \log \left(\frac{a e^{c+d x}}{\sqrt{a^2+b^2}+b}+1\right)}{a^4 d}+\frac{b^2 (e+f x)^2 \sinh (c+d x)}{a^3 d}+\frac{b \left(a^2+b^2\right) (e+f x)^3}{3 a^4 f}+\frac{b f (e+f x) \sinh (c+d x) \cosh (c+d x)}{2 a^2 d^2}-\frac{b f^2 \sinh ^2(c+d x)}{4 a^2 d^3}-\frac{b (e+f x)^2 \sinh ^2(c+d x)}{2 a^2 d}-\frac{b e f x}{2 a^2 d}-\frac{b f^2 x^2}{4 a^2 d}-\frac{2 f (e+f x) \cosh ^3(c+d x)}{9 a d^2}-\frac{4 f (e+f x) \cosh (c+d x)}{3 a d^2}+\frac{2 f^2 \sinh ^3(c+d x)}{27 a d^3}+\frac{14 f^2 \sinh (c+d x)}{9 a d^3}+\frac{2 (e+f x)^2 \sinh (c+d x)}{3 a d}+\frac{(e+f x)^2 \sinh (c+d x) \cosh ^2(c+d x)}{3 a d}","-\frac{2 b f \left(a^2+b^2\right) (e+f x) \text{PolyLog}\left(2,-\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}\right)}{a^4 d^2}-\frac{2 b f \left(a^2+b^2\right) (e+f x) \text{PolyLog}\left(2,-\frac{a e^{c+d x}}{\sqrt{a^2+b^2}+b}\right)}{a^4 d^2}+\frac{2 b f^2 \left(a^2+b^2\right) \text{PolyLog}\left(3,-\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}\right)}{a^4 d^3}+\frac{2 b f^2 \left(a^2+b^2\right) \text{PolyLog}\left(3,-\frac{a e^{c+d x}}{\sqrt{a^2+b^2}+b}\right)}{a^4 d^3}-\frac{2 b^2 f (e+f x) \cosh (c+d x)}{a^3 d^2}+\frac{2 b^2 f^2 \sinh (c+d x)}{a^3 d^3}-\frac{b \left(a^2+b^2\right) (e+f x)^2 \log \left(\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}+1\right)}{a^4 d}-\frac{b \left(a^2+b^2\right) (e+f x)^2 \log \left(\frac{a e^{c+d x}}{\sqrt{a^2+b^2}+b}+1\right)}{a^4 d}+\frac{b^2 (e+f x)^2 \sinh (c+d x)}{a^3 d}+\frac{b \left(a^2+b^2\right) (e+f x)^3}{3 a^4 f}+\frac{b f (e+f x) \sinh (c+d x) \cosh (c+d x)}{2 a^2 d^2}-\frac{b f^2 \sinh ^2(c+d x)}{4 a^2 d^3}-\frac{b (e+f x)^2 \sinh ^2(c+d x)}{2 a^2 d}-\frac{b e f x}{2 a^2 d}-\frac{b f^2 x^2}{4 a^2 d}-\frac{2 f (e+f x) \cosh ^3(c+d x)}{9 a d^2}-\frac{4 f (e+f x) \cosh (c+d x)}{3 a d^2}+\frac{2 f^2 \sinh ^3(c+d x)}{27 a d^3}+\frac{14 f^2 \sinh (c+d x)}{9 a d^3}+\frac{2 (e+f x)^2 \sinh (c+d x)}{3 a d}+\frac{(e+f x)^2 \sinh (c+d x) \cosh ^2(c+d x)}{3 a d}",1,"-(b*e*f*x)/(2*a^2*d) - (b*f^2*x^2)/(4*a^2*d) + (b*(a^2 + b^2)*(e + f*x)^3)/(3*a^4*f) - (4*f*(e + f*x)*Cosh[c + d*x])/(3*a*d^2) - (2*b^2*f*(e + f*x)*Cosh[c + d*x])/(a^3*d^2) - (2*f*(e + f*x)*Cosh[c + d*x]^3)/(9*a*d^2) - (b*(a^2 + b^2)*(e + f*x)^2*Log[1 + (a*E^(c + d*x))/(b - Sqrt[a^2 + b^2])])/(a^4*d) - (b*(a^2 + b^2)*(e + f*x)^2*Log[1 + (a*E^(c + d*x))/(b + Sqrt[a^2 + b^2])])/(a^4*d) - (2*b*(a^2 + b^2)*f*(e + f*x)*PolyLog[2, -((a*E^(c + d*x))/(b - Sqrt[a^2 + b^2]))])/(a^4*d^2) - (2*b*(a^2 + b^2)*f*(e + f*x)*PolyLog[2, -((a*E^(c + d*x))/(b + Sqrt[a^2 + b^2]))])/(a^4*d^2) + (2*b*(a^2 + b^2)*f^2*PolyLog[3, -((a*E^(c + d*x))/(b - Sqrt[a^2 + b^2]))])/(a^4*d^3) + (2*b*(a^2 + b^2)*f^2*PolyLog[3, -((a*E^(c + d*x))/(b + Sqrt[a^2 + b^2]))])/(a^4*d^3) + (14*f^2*Sinh[c + d*x])/(9*a*d^3) + (2*b^2*f^2*Sinh[c + d*x])/(a^3*d^3) + (2*(e + f*x)^2*Sinh[c + d*x])/(3*a*d) + (b^2*(e + f*x)^2*Sinh[c + d*x])/(a^3*d) + (b*f*(e + f*x)*Cosh[c + d*x]*Sinh[c + d*x])/(2*a^2*d^2) + ((e + f*x)^2*Cosh[c + d*x]^2*Sinh[c + d*x])/(3*a*d) - (b*f^2*Sinh[c + d*x]^2)/(4*a^2*d^3) - (b*(e + f*x)^2*Sinh[c + d*x]^2)/(2*a^2*d) + (2*f^2*Sinh[c + d*x]^3)/(27*a*d^3)","A",24,14,28,0.5000,1,"{5594, 5579, 3311, 3296, 2637, 2633, 5565, 5446, 3310, 5561, 2190, 2531, 2282, 6589}"
28,1,400,0,0.5510433,"\int \frac{(e+f x) \cosh ^3(c+d x)}{a+b \text{csch}(c+d x)} \, dx","Int[((e + f*x)*Cosh[c + d*x]^3)/(a + b*Csch[c + d*x]),x]","-\frac{b f \left(a^2+b^2\right) \text{PolyLog}\left(2,-\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}\right)}{a^4 d^2}-\frac{b f \left(a^2+b^2\right) \text{PolyLog}\left(2,-\frac{a e^{c+d x}}{\sqrt{a^2+b^2}+b}\right)}{a^4 d^2}-\frac{b^2 f \cosh (c+d x)}{a^3 d^2}-\frac{b \left(a^2+b^2\right) (e+f x) \log \left(\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}+1\right)}{a^4 d}-\frac{b \left(a^2+b^2\right) (e+f x) \log \left(\frac{a e^{c+d x}}{\sqrt{a^2+b^2}+b}+1\right)}{a^4 d}+\frac{b^2 (e+f x) \sinh (c+d x)}{a^3 d}+\frac{b \left(a^2+b^2\right) (e+f x)^2}{2 a^4 f}+\frac{b f \sinh (c+d x) \cosh (c+d x)}{4 a^2 d^2}-\frac{b (e+f x) \sinh ^2(c+d x)}{2 a^2 d}-\frac{b f x}{4 a^2 d}-\frac{f \cosh ^3(c+d x)}{9 a d^2}-\frac{2 f \cosh (c+d x)}{3 a d^2}+\frac{2 (e+f x) \sinh (c+d x)}{3 a d}+\frac{(e+f x) \sinh (c+d x) \cosh ^2(c+d x)}{3 a d}","-\frac{b f \left(a^2+b^2\right) \text{PolyLog}\left(2,-\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}\right)}{a^4 d^2}-\frac{b f \left(a^2+b^2\right) \text{PolyLog}\left(2,-\frac{a e^{c+d x}}{\sqrt{a^2+b^2}+b}\right)}{a^4 d^2}-\frac{b^2 f \cosh (c+d x)}{a^3 d^2}-\frac{b \left(a^2+b^2\right) (e+f x) \log \left(\frac{a e^{c+d x}}{b-\sqrt{a^2+b^2}}+1\right)}{a^4 d}-\frac{b \left(a^2+b^2\right) (e+f x) \log \left(\frac{a e^{c+d x}}{\sqrt{a^2+b^2}+b}+1\right)}{a^4 d}+\frac{b^2 (e+f x) \sinh (c+d x)}{a^3 d}+\frac{b \left(a^2+b^2\right) (e+f x)^2}{2 a^4 f}+\frac{b f \sinh (c+d x) \cosh (c+d x)}{4 a^2 d^2}-\frac{b (e+f x) \sinh ^2(c+d x)}{2 a^2 d}-\frac{b f x}{4 a^2 d}-\frac{f \cosh ^3(c+d x)}{9 a d^2}-\frac{2 f \cosh (c+d x)}{3 a d^2}+\frac{2 (e+f x) \sinh (c+d x)}{3 a d}+\frac{(e+f x) \sinh (c+d x) \cosh ^2(c+d x)}{3 a d}",1,"-(b*f*x)/(4*a^2*d) + (b*(a^2 + b^2)*(e + f*x)^2)/(2*a^4*f) - (2*f*Cosh[c + d*x])/(3*a*d^2) - (b^2*f*Cosh[c + d*x])/(a^3*d^2) - (f*Cosh[c + d*x]^3)/(9*a*d^2) - (b*(a^2 + b^2)*(e + f*x)*Log[1 + (a*E^(c + d*x))/(b - Sqrt[a^2 + b^2])])/(a^4*d) - (b*(a^2 + b^2)*(e + f*x)*Log[1 + (a*E^(c + d*x))/(b + Sqrt[a^2 + b^2])])/(a^4*d) - (b*(a^2 + b^2)*f*PolyLog[2, -((a*E^(c + d*x))/(b - Sqrt[a^2 + b^2]))])/(a^4*d^2) - (b*(a^2 + b^2)*f*PolyLog[2, -((a*E^(c + d*x))/(b + Sqrt[a^2 + b^2]))])/(a^4*d^2) + (2*(e + f*x)*Sinh[c + d*x])/(3*a*d) + (b^2*(e + f*x)*Sinh[c + d*x])/(a^3*d) + (b*f*Cosh[c + d*x]*Sinh[c + d*x])/(4*a^2*d^2) + ((e + f*x)*Cosh[c + d*x]^2*Sinh[c + d*x])/(3*a*d) - (b*(e + f*x)*Sinh[c + d*x]^2)/(2*a^2*d)","A",18,13,26,0.5000,1,"{5594, 5579, 3310, 3296, 2638, 5565, 5446, 2635, 8, 5561, 2190, 2279, 2391}"
29,1,85,0,0.1823352,"\int \frac{\cosh ^3(c+d x)}{a+b \text{csch}(c+d x)} \, dx","Int[Cosh[c + d*x]^3/(a + b*Csch[c + d*x]),x]","\frac{\left(a^2+b^2\right) \sinh (c+d x)}{a^3 d}-\frac{b \left(a^2+b^2\right) \log (a \sinh (c+d x)+b)}{a^4 d}-\frac{b \sinh ^2(c+d x)}{2 a^2 d}+\frac{\sinh ^3(c+d x)}{3 a d}","\frac{\left(a^2+b^2\right) \sinh (c+d x)}{a^3 d}-\frac{b \left(a^2+b^2\right) \log (a \sinh (c+d x)+b)}{a^4 d}-\frac{b \sinh ^2(c+d x)}{2 a^2 d}+\frac{\sinh ^3(c+d x)}{3 a d}",1,"-((b*(a^2 + b^2)*Log[b + a*Sinh[c + d*x]])/(a^4*d)) + ((a^2 + b^2)*Sinh[c + d*x])/(a^3*d) - (b*Sinh[c + d*x]^2)/(2*a^2*d) + Sinh[c + d*x]^3/(3*a*d)","A",5,4,21,0.1905,1,"{3872, 2837, 12, 772}"