1,1,22,0,0.0155441,"\int \frac{2}{-1+3 \cosh (4+6 x)} \, dx","Int[2/(-1 + 3*Cosh[4 + 6*x]),x]","\frac{\tan ^{-1}\left(\sqrt{2} \tanh (3 x+2)\right)}{3 \sqrt{2}}","\frac{\tan ^{-1}\left(\sqrt{2} \tanh (3 x+2)\right)}{3 \sqrt{2}}",1,"ArcTan[Sqrt[2]*Tanh[2 + 3*x]]/(3*Sqrt[2])","A",3,3,14,0.2143,1,"{12, 2659, 206}"
2,1,22,0,0.0212245,"\int \frac{1}{\cosh ^2(2+3 x)+2 \sinh ^2(2+3 x)} \, dx","Int[(Cosh[2 + 3*x]^2 + 2*Sinh[2 + 3*x]^2)^(-1),x]","\frac{\tan ^{-1}\left(\sqrt{2} \tanh (3 x+2)\right)}{3 \sqrt{2}}","\frac{\tan ^{-1}\left(\sqrt{2} \tanh (3 x+2)\right)}{3 \sqrt{2}}",1,"ArcTan[Sqrt[2]*Tanh[2 + 3*x]]/(3*Sqrt[2])","A",2,1,21,0.04762,1,"{203}"
3,1,22,0,0.0398909,"\int \frac{\text{sech}^2(2+3 x)}{1+2 \tanh ^2(2+3 x)} \, dx","Int[Sech[2 + 3*x]^2/(1 + 2*Tanh[2 + 3*x]^2),x]","\frac{\tan ^{-1}\left(\sqrt{2} \tanh (3 x+2)\right)}{3 \sqrt{2}}","\frac{\tan ^{-1}\left(\sqrt{2} \tanh (3 x+2)\right)}{3 \sqrt{2}}",1,"ArcTan[Sqrt[2]*Tanh[2 + 3*x]]/(3*Sqrt[2])","A",2,2,23,0.08696,1,"{3675, 203}"
4,1,22,0,0.0392334,"\int \frac{\text{csch}^2(2+3 x)}{2+\coth ^2(2+3 x)} \, dx","Int[Csch[2 + 3*x]^2/(2 + Coth[2 + 3*x]^2),x]","\frac{\tan ^{-1}\left(\sqrt{2} \tanh (3 x+2)\right)}{3 \sqrt{2}}","\frac{\tan ^{-1}\left(\sqrt{2} \tanh (3 x+2)\right)}{3 \sqrt{2}}",1,"ArcTan[Sqrt[2]*Tanh[2 + 3*x]]/(3*Sqrt[2])","A",2,2,21,0.09524,1,"{3675, 203}"
5,1,22,0,0.0386269,"\int \frac{\text{csch}^2(2+3 x)}{2-\coth ^2(2+3 x)} \, dx","Int[Csch[2 + 3*x]^2/(2 - Coth[2 + 3*x]^2),x]","-\frac{\tanh ^{-1}\left(\sqrt{2} \tanh (3 x+2)\right)}{3 \sqrt{2}}","-\frac{\tanh ^{-1}\left(\sqrt{2} \tanh (3 x+2)\right)}{3 \sqrt{2}}",1,"-ArcTanh[Sqrt[2]*Tanh[2 + 3*x]]/(3*Sqrt[2])","A",2,2,23,0.08696,1,"{3675, 206}"
6,1,22,0,0.0401457,"\int \frac{\text{csch}^2(2+3 x)}{1+2 \coth ^2(2+3 x)} \, dx","Int[Csch[2 + 3*x]^2/(1 + 2*Coth[2 + 3*x]^2),x]","\frac{\tan ^{-1}\left(\frac{\tanh (3 x+2)}{\sqrt{2}}\right)}{3 \sqrt{2}}","\frac{\tan ^{-1}\left(\frac{\tanh (3 x+2)}{\sqrt{2}}\right)}{3 \sqrt{2}}",1,"ArcTan[Tanh[2 + 3*x]/Sqrt[2]]/(3*Sqrt[2])","A",2,2,23,0.08696,1,"{3675, 203}"
7,1,22,0,0.0394867,"\int \frac{\text{csch}^2(2+3 x)}{1-2 \coth ^2(2+3 x)} \, dx","Int[Csch[2 + 3*x]^2/(1 - 2*Coth[2 + 3*x]^2),x]","-\frac{\tanh ^{-1}\left(\frac{\tanh (3 x+2)}{\sqrt{2}}\right)}{3 \sqrt{2}}","-\frac{\tanh ^{-1}\left(\frac{\tanh (3 x+2)}{\sqrt{2}}\right)}{3 \sqrt{2}}",1,"-ArcTanh[Tanh[2 + 3*x]/Sqrt[2]]/(3*Sqrt[2])","A",2,2,23,0.08696,1,"{3675, 206}"
8,1,15,0,0.0124951,"\int \cosh (a+b x) \sinh (a+b x) \, dx","Int[Cosh[a + b*x]*Sinh[a + b*x],x]","\frac{\sinh ^2(a+b x)}{2 b}","\frac{\sinh ^2(a+b x)}{2 b}",1,"Sinh[a + b*x]^2/(2*b)","A",2,2,13,0.1538,1,"{2564, 30}"
9,1,19,0,0.0225391,"\int \cosh (a+b x) \sinh ^n(a+b x) \, dx","Int[Cosh[a + b*x]*Sinh[a + b*x]^n,x]","\frac{\sinh ^{n+1}(a+b x)}{b (n+1)}","\frac{\sinh ^{n+1}(a+b x)}{b (n+1)}",1,"Sinh[a + b*x]^(1 + n)/(b*(1 + n))","A",2,2,15,0.1333,1,"{2564, 30}"
10,1,39,0,0.0448459,"\int \cosh ^3(a+b x) \sinh ^n(a+b x) \, dx","Int[Cosh[a + b*x]^3*Sinh[a + b*x]^n,x]","\frac{\sinh ^{n+1}(a+b x)}{b (n+1)}+\frac{\sinh ^{n+3}(a+b x)}{b (n+3)}","\frac{\sinh ^{n+1}(a+b x)}{b (n+1)}+\frac{\sinh ^{n+3}(a+b x)}{b (n+3)}",1,"Sinh[a + b*x]^(1 + n)/(b*(1 + n)) + Sinh[a + b*x]^(3 + n)/(b*(3 + n))","A",3,2,17,0.1176,1,"{2564, 14}"
11,1,59,0,0.0518165,"\int \cosh ^5(a+b x) \sinh ^n(a+b x) \, dx","Int[Cosh[a + b*x]^5*Sinh[a + b*x]^n,x]","\frac{\sinh ^{n+1}(a+b x)}{b (n+1)}+\frac{2 \sinh ^{n+3}(a+b x)}{b (n+3)}+\frac{\sinh ^{n+5}(a+b x)}{b (n+5)}","\frac{\sinh ^{n+1}(a+b x)}{b (n+1)}+\frac{2 \sinh ^{n+3}(a+b x)}{b (n+3)}+\frac{\sinh ^{n+5}(a+b x)}{b (n+5)}",1,"Sinh[a + b*x]^(1 + n)/(b*(1 + n)) + (2*Sinh[a + b*x]^(3 + n))/(b*(3 + n)) + Sinh[a + b*x]^(5 + n)/(b*(5 + n))","A",3,2,17,0.1176,1,"{2564, 270}"
12,1,19,0,0.0267734,"\int \cosh ^m(a+b x) \sinh (a+b x) \, dx","Int[Cosh[a + b*x]^m*Sinh[a + b*x],x]","\frac{\cosh ^{m+1}(a+b x)}{b (m+1)}","\frac{\cosh ^{m+1}(a+b x)}{b (m+1)}",1,"Cosh[a + b*x]^(1 + m)/(b*(1 + m))","A",2,2,15,0.1333,1,"{2565, 30}"
13,1,40,0,0.0502823,"\int \cosh ^m(a+b x) \sinh ^3(a+b x) \, dx","Int[Cosh[a + b*x]^m*Sinh[a + b*x]^3,x]","\frac{\cosh ^{m+3}(a+b x)}{b (m+3)}-\frac{\cosh ^{m+1}(a+b x)}{b (m+1)}","\frac{\cosh ^{m+3}(a+b x)}{b (m+3)}-\frac{\cosh ^{m+1}(a+b x)}{b (m+1)}",1,"-(Cosh[a + b*x]^(1 + m)/(b*(1 + m))) + Cosh[a + b*x]^(3 + m)/(b*(3 + m))","A",3,2,17,0.1176,1,"{2565, 14}"
14,1,59,0,0.0607817,"\int \cosh ^m(a+b x) \sinh ^5(a+b x) \, dx","Int[Cosh[a + b*x]^m*Sinh[a + b*x]^5,x]","\frac{\cosh ^{m+1}(a+b x)}{b (m+1)}-\frac{2 \cosh ^{m+3}(a+b x)}{b (m+3)}+\frac{\cosh ^{m+5}(a+b x)}{b (m+5)}","\frac{\cosh ^{m+1}(a+b x)}{b (m+1)}-\frac{2 \cosh ^{m+3}(a+b x)}{b (m+3)}+\frac{\cosh ^{m+5}(a+b x)}{b (m+5)}",1,"Cosh[a + b*x]^(1 + m)/(b*(1 + m)) - (2*Cosh[a + b*x]^(3 + m))/(b*(3 + m)) + Cosh[a + b*x]^(5 + m)/(b*(5 + m))","A",3,2,17,0.1176,1,"{2565, 270}"
15,1,46,0,0.0435783,"\int \cosh ^2(a+b x) \sinh ^2(a+b x) \, dx","Int[Cosh[a + b*x]^2*Sinh[a + b*x]^2,x]","\frac{\sinh (a+b x) \cosh ^3(a+b x)}{4 b}-\frac{\sinh (a+b x) \cosh (a+b x)}{8 b}-\frac{x}{8}","\frac{\sinh (a+b x) \cosh ^3(a+b x)}{4 b}-\frac{\sinh (a+b x) \cosh (a+b x)}{8 b}-\frac{x}{8}",1,"-x/8 - (Cosh[a + b*x]*Sinh[a + b*x])/(8*b) + (Cosh[a + b*x]^3*Sinh[a + b*x])/(4*b)","A",3,3,17,0.1765,1,"{2568, 2635, 8}"
16,1,69,0,0.0744825,"\int \cosh ^2(a+b x) \sinh ^4(a+b x) \, dx","Int[Cosh[a + b*x]^2*Sinh[a + b*x]^4,x]","\frac{\sinh ^3(a+b x) \cosh ^3(a+b x)}{6 b}-\frac{\sinh (a+b x) \cosh ^3(a+b x)}{8 b}+\frac{\sinh (a+b x) \cosh (a+b x)}{16 b}+\frac{x}{16}","\frac{\sinh ^3(a+b x) \cosh ^3(a+b x)}{6 b}-\frac{\sinh (a+b x) \cosh ^3(a+b x)}{8 b}+\frac{\sinh (a+b x) \cosh (a+b x)}{16 b}+\frac{x}{16}",1,"x/16 + (Cosh[a + b*x]*Sinh[a + b*x])/(16*b) - (Cosh[a + b*x]^3*Sinh[a + b*x])/(8*b) + (Cosh[a + b*x]^3*Sinh[a + b*x]^3)/(6*b)","A",4,3,17,0.1765,1,"{2568, 2635, 8}"
17,1,92,0,0.103597,"\int \cosh ^2(a+b x) \sinh ^6(a+b x) \, dx","Int[Cosh[a + b*x]^2*Sinh[a + b*x]^6,x]","\frac{\sinh ^5(a+b x) \cosh ^3(a+b x)}{8 b}-\frac{5 \sinh ^3(a+b x) \cosh ^3(a+b x)}{48 b}+\frac{5 \sinh (a+b x) \cosh ^3(a+b x)}{64 b}-\frac{5 \sinh (a+b x) \cosh (a+b x)}{128 b}-\frac{5 x}{128}","\frac{\sinh ^5(a+b x) \cosh ^3(a+b x)}{8 b}-\frac{5 \sinh ^3(a+b x) \cosh ^3(a+b x)}{48 b}+\frac{5 \sinh (a+b x) \cosh ^3(a+b x)}{64 b}-\frac{5 \sinh (a+b x) \cosh (a+b x)}{128 b}-\frac{5 x}{128}",1,"(-5*x)/128 - (5*Cosh[a + b*x]*Sinh[a + b*x])/(128*b) + (5*Cosh[a + b*x]^3*Sinh[a + b*x])/(64*b) - (5*Cosh[a + b*x]^3*Sinh[a + b*x]^3)/(48*b) + (Cosh[a + b*x]^3*Sinh[a + b*x]^5)/(8*b)","A",5,3,17,0.1765,1,"{2568, 2635, 8}"
18,1,67,0,0.0524301,"\int \cosh ^4(a+b x) \sinh ^2(a+b x) \, dx","Int[Cosh[a + b*x]^4*Sinh[a + b*x]^2,x]","\frac{\sinh (a+b x) \cosh ^5(a+b x)}{6 b}-\frac{\sinh (a+b x) \cosh ^3(a+b x)}{24 b}-\frac{\sinh (a+b x) \cosh (a+b x)}{16 b}-\frac{x}{16}","\frac{\sinh (a+b x) \cosh ^5(a+b x)}{6 b}-\frac{\sinh (a+b x) \cosh ^3(a+b x)}{24 b}-\frac{\sinh (a+b x) \cosh (a+b x)}{16 b}-\frac{x}{16}",1,"-x/16 - (Cosh[a + b*x]*Sinh[a + b*x])/(16*b) - (Cosh[a + b*x]^3*Sinh[a + b*x])/(24*b) + (Cosh[a + b*x]^5*Sinh[a + b*x])/(6*b)","A",4,3,17,0.1765,1,"{2568, 2635, 8}"
19,1,90,0,0.0839527,"\int \cosh ^4(a+b x) \sinh ^4(a+b x) \, dx","Int[Cosh[a + b*x]^4*Sinh[a + b*x]^4,x]","\frac{\sinh ^3(a+b x) \cosh ^5(a+b x)}{8 b}-\frac{\sinh (a+b x) \cosh ^5(a+b x)}{16 b}+\frac{\sinh (a+b x) \cosh ^3(a+b x)}{64 b}+\frac{3 \sinh (a+b x) \cosh (a+b x)}{128 b}+\frac{3 x}{128}","\frac{\sinh ^3(a+b x) \cosh ^5(a+b x)}{8 b}-\frac{\sinh (a+b x) \cosh ^5(a+b x)}{16 b}+\frac{\sinh (a+b x) \cosh ^3(a+b x)}{64 b}+\frac{3 \sinh (a+b x) \cosh (a+b x)}{128 b}+\frac{3 x}{128}",1,"(3*x)/128 + (3*Cosh[a + b*x]*Sinh[a + b*x])/(128*b) + (Cosh[a + b*x]^3*Sinh[a + b*x])/(64*b) - (Cosh[a + b*x]^5*Sinh[a + b*x])/(16*b) + (Cosh[a + b*x]^5*Sinh[a + b*x]^3)/(8*b)","A",5,3,17,0.1765,1,"{2568, 2635, 8}"
20,1,113,0,0.1184125,"\int \cosh ^4(a+b x) \sinh ^6(a+b x) \, dx","Int[Cosh[a + b*x]^4*Sinh[a + b*x]^6,x]","\frac{\sinh ^5(a+b x) \cosh ^5(a+b x)}{10 b}-\frac{\sinh ^3(a+b x) \cosh ^5(a+b x)}{16 b}+\frac{\sinh (a+b x) \cosh ^5(a+b x)}{32 b}-\frac{\sinh (a+b x) \cosh ^3(a+b x)}{128 b}-\frac{3 \sinh (a+b x) \cosh (a+b x)}{256 b}-\frac{3 x}{256}","\frac{\sinh ^5(a+b x) \cosh ^5(a+b x)}{10 b}-\frac{\sinh ^3(a+b x) \cosh ^5(a+b x)}{16 b}+\frac{\sinh (a+b x) \cosh ^5(a+b x)}{32 b}-\frac{\sinh (a+b x) \cosh ^3(a+b x)}{128 b}-\frac{3 \sinh (a+b x) \cosh (a+b x)}{256 b}-\frac{3 x}{256}",1,"(-3*x)/256 - (3*Cosh[a + b*x]*Sinh[a + b*x])/(256*b) - (Cosh[a + b*x]^3*Sinh[a + b*x])/(128*b) + (Cosh[a + b*x]^5*Sinh[a + b*x])/(32*b) - (Cosh[a + b*x]^5*Sinh[a + b*x]^3)/(16*b) + (Cosh[a + b*x]^5*Sinh[a + b*x]^5)/(10*b)","A",6,3,17,0.1765,1,"{2568, 2635, 8}"
21,1,88,0,0.0643681,"\int \cosh ^6(a+b x) \sinh ^2(a+b x) \, dx","Int[Cosh[a + b*x]^6*Sinh[a + b*x]^2,x]","\frac{\sinh (a+b x) \cosh ^7(a+b x)}{8 b}-\frac{\sinh (a+b x) \cosh ^5(a+b x)}{48 b}-\frac{5 \sinh (a+b x) \cosh ^3(a+b x)}{192 b}-\frac{5 \sinh (a+b x) \cosh (a+b x)}{128 b}-\frac{5 x}{128}","\frac{\sinh (a+b x) \cosh ^7(a+b x)}{8 b}-\frac{\sinh (a+b x) \cosh ^5(a+b x)}{48 b}-\frac{5 \sinh (a+b x) \cosh ^3(a+b x)}{192 b}-\frac{5 \sinh (a+b x) \cosh (a+b x)}{128 b}-\frac{5 x}{128}",1,"(-5*x)/128 - (5*Cosh[a + b*x]*Sinh[a + b*x])/(128*b) - (5*Cosh[a + b*x]^3*Sinh[a + b*x])/(192*b) - (Cosh[a + b*x]^5*Sinh[a + b*x])/(48*b) + (Cosh[a + b*x]^7*Sinh[a + b*x])/(8*b)","A",5,3,17,0.1765,1,"{2568, 2635, 8}"
22,1,111,0,0.0989776,"\int \cosh ^6(a+b x) \sinh ^4(a+b x) \, dx","Int[Cosh[a + b*x]^6*Sinh[a + b*x]^4,x]","\frac{\sinh ^3(a+b x) \cosh ^7(a+b x)}{10 b}-\frac{3 \sinh (a+b x) \cosh ^7(a+b x)}{80 b}+\frac{\sinh (a+b x) \cosh ^5(a+b x)}{160 b}+\frac{\sinh (a+b x) \cosh ^3(a+b x)}{128 b}+\frac{3 \sinh (a+b x) \cosh (a+b x)}{256 b}+\frac{3 x}{256}","\frac{\sinh ^3(a+b x) \cosh ^7(a+b x)}{10 b}-\frac{3 \sinh (a+b x) \cosh ^7(a+b x)}{80 b}+\frac{\sinh (a+b x) \cosh ^5(a+b x)}{160 b}+\frac{\sinh (a+b x) \cosh ^3(a+b x)}{128 b}+\frac{3 \sinh (a+b x) \cosh (a+b x)}{256 b}+\frac{3 x}{256}",1,"(3*x)/256 + (3*Cosh[a + b*x]*Sinh[a + b*x])/(256*b) + (Cosh[a + b*x]^3*Sinh[a + b*x])/(128*b) + (Cosh[a + b*x]^5*Sinh[a + b*x])/(160*b) - (3*Cosh[a + b*x]^7*Sinh[a + b*x])/(80*b) + (Cosh[a + b*x]^7*Sinh[a + b*x]^3)/(10*b)","A",6,3,17,0.1765,1,"{2568, 2635, 8}"
23,1,134,0,0.1321179,"\int \cosh ^6(a+b x) \sinh ^6(a+b x) \, dx","Int[Cosh[a + b*x]^6*Sinh[a + b*x]^6,x]","\frac{\sinh ^5(a+b x) \cosh ^7(a+b x)}{12 b}-\frac{\sinh ^3(a+b x) \cosh ^7(a+b x)}{24 b}+\frac{\sinh (a+b x) \cosh ^7(a+b x)}{64 b}-\frac{\sinh (a+b x) \cosh ^5(a+b x)}{384 b}-\frac{5 \sinh (a+b x) \cosh ^3(a+b x)}{1536 b}-\frac{5 \sinh (a+b x) \cosh (a+b x)}{1024 b}-\frac{5 x}{1024}","\frac{\sinh ^5(a+b x) \cosh ^7(a+b x)}{12 b}-\frac{\sinh ^3(a+b x) \cosh ^7(a+b x)}{24 b}+\frac{\sinh (a+b x) \cosh ^7(a+b x)}{64 b}-\frac{\sinh (a+b x) \cosh ^5(a+b x)}{384 b}-\frac{5 \sinh (a+b x) \cosh ^3(a+b x)}{1536 b}-\frac{5 \sinh (a+b x) \cosh (a+b x)}{1024 b}-\frac{5 x}{1024}",1,"(-5*x)/1024 - (5*Cosh[a + b*x]*Sinh[a + b*x])/(1024*b) - (5*Cosh[a + b*x]^3*Sinh[a + b*x])/(1536*b) - (Cosh[a + b*x]^5*Sinh[a + b*x])/(384*b) + (Cosh[a + b*x]^7*Sinh[a + b*x])/(64*b) - (Cosh[a + b*x]^7*Sinh[a + b*x]^3)/(24*b) + (Cosh[a + b*x]^7*Sinh[a + b*x]^5)/(12*b)","A",7,3,17,0.1765,1,"{2568, 2635, 8}"
24,1,11,0,0.0122369,"\int \text{csch}(a+b x) \text{sech}(a+b x) \, dx","Int[Csch[a + b*x]*Sech[a + b*x],x]","\frac{\log (\tanh (a+b x))}{b}","\frac{\log (\tanh (a+b x))}{b}",1,"Log[Tanh[a + b*x]]/b","A",2,2,13,0.1538,1,"{2620, 29}"
25,1,23,0,0.0257552,"\int \text{csch}(a+b x) \text{sech}^2(a+b x) \, dx","Int[Csch[a + b*x]*Sech[a + b*x]^2,x]","\frac{\text{sech}(a+b x)}{b}-\frac{\tanh ^{-1}(\cosh (a+b x))}{b}","\frac{\text{sech}(a+b x)}{b}-\frac{\tanh ^{-1}(\cosh (a+b x))}{b}",1,"-(ArcTanh[Cosh[a + b*x]]/b) + Sech[a + b*x]/b","A",3,3,15,0.2000,1,"{2622, 321, 207}"
26,1,27,0,0.0235788,"\int \text{csch}(a+b x) \text{sech}^3(a+b x) \, dx","Int[Csch[a + b*x]*Sech[a + b*x]^3,x]","\frac{\log (\tanh (a+b x))}{b}-\frac{\tanh ^2(a+b x)}{2 b}","\frac{\log (\tanh (a+b x))}{b}-\frac{\tanh ^2(a+b x)}{2 b}",1,"Log[Tanh[a + b*x]]/b - Tanh[a + b*x]^2/(2*b)","A",3,2,15,0.1333,1,"{2620, 14}"
27,1,38,0,0.0292979,"\int \text{csch}(a+b x) \text{sech}^4(a+b x) \, dx","Int[Csch[a + b*x]*Sech[a + b*x]^4,x]","\frac{\text{sech}^3(a+b x)}{3 b}+\frac{\text{sech}(a+b x)}{b}-\frac{\tanh ^{-1}(\cosh (a+b x))}{b}","\frac{\text{sech}^3(a+b x)}{3 b}+\frac{\text{sech}(a+b x)}{b}-\frac{\tanh ^{-1}(\cosh (a+b x))}{b}",1,"-(ArcTanh[Cosh[a + b*x]]/b) + Sech[a + b*x]/b + Sech[a + b*x]^3/(3*b)","A",4,3,15,0.2000,1,"{2622, 302, 207}"
28,1,40,0,0.0327929,"\int \text{csch}(a+b x) \text{sech}^5(a+b x) \, dx","Int[Csch[a + b*x]*Sech[a + b*x]^5,x]","\frac{\tanh ^4(a+b x)}{4 b}-\frac{\tanh ^2(a+b x)}{b}+\frac{\log (\tanh (a+b x))}{b}","\frac{\tanh ^4(a+b x)}{4 b}-\frac{\tanh ^2(a+b x)}{b}+\frac{\log (\tanh (a+b x))}{b}",1,"Log[Tanh[a + b*x]]/b - Tanh[a + b*x]^2/b + Tanh[a + b*x]^4/(4*b)","A",4,3,15,0.2000,1,"{2620, 266, 43}"
29,1,24,0,0.0222952,"\int \text{csch}^2(a+b x) \text{sech}(a+b x) \, dx","Int[Csch[a + b*x]^2*Sech[a + b*x],x]","-\frac{\text{csch}(a+b x)}{b}-\frac{\tan ^{-1}(\sinh (a+b x))}{b}","-\frac{\text{csch}(a+b x)}{b}-\frac{\tan ^{-1}(\sinh (a+b x))}{b}",1,"-(ArcTan[Sinh[a + b*x]]/b) - Csch[a + b*x]/b","A",3,3,15,0.2000,1,"{2621, 321, 207}"
30,1,23,0,0.0310056,"\int \text{csch}^2(a+b x) \text{sech}^2(a+b x) \, dx","Int[Csch[a + b*x]^2*Sech[a + b*x]^2,x]","-\frac{\tanh (a+b x)}{b}-\frac{\coth (a+b x)}{b}","-\frac{\tanh (a+b x)}{b}-\frac{\coth (a+b x)}{b}",1,"-(Coth[a + b*x]/b) - Tanh[a + b*x]/b","A",3,2,17,0.1176,1,"{2620, 14}"
31,1,49,0,0.0406723,"\int \text{csch}^2(a+b x) \text{sech}^3(a+b x) \, dx","Int[Csch[a + b*x]^2*Sech[a + b*x]^3,x]","-\frac{3 \text{csch}(a+b x)}{2 b}-\frac{3 \tan ^{-1}(\sinh (a+b x))}{2 b}+\frac{\text{csch}(a+b x) \text{sech}^2(a+b x)}{2 b}","-\frac{3 \text{csch}(a+b x)}{2 b}-\frac{3 \tan ^{-1}(\sinh (a+b x))}{2 b}+\frac{\text{csch}(a+b x) \text{sech}^2(a+b x)}{2 b}",1,"(-3*ArcTan[Sinh[a + b*x]])/(2*b) - (3*Csch[a + b*x])/(2*b) + (Csch[a + b*x]*Sech[a + b*x]^2)/(2*b)","A",4,4,17,0.2353,1,"{2621, 288, 321, 207}"
32,1,38,0,0.0352183,"\int \text{csch}^2(a+b x) \text{sech}^4(a+b x) \, dx","Int[Csch[a + b*x]^2*Sech[a + b*x]^4,x]","\frac{\tanh ^3(a+b x)}{3 b}-\frac{2 \tanh (a+b x)}{b}-\frac{\coth (a+b x)}{b}","\frac{\tanh ^3(a+b x)}{3 b}-\frac{2 \tanh (a+b x)}{b}-\frac{\coth (a+b x)}{b}",1,"-(Coth[a + b*x]/b) - (2*Tanh[a + b*x])/b + Tanh[a + b*x]^3/(3*b)","A",3,2,17,0.1176,1,"{2620, 270}"
33,1,70,0,0.0427769,"\int \text{csch}^2(a+b x) \text{sech}^5(a+b x) \, dx","Int[Csch[a + b*x]^2*Sech[a + b*x]^5,x]","-\frac{15 \text{csch}(a+b x)}{8 b}-\frac{15 \tan ^{-1}(\sinh (a+b x))}{8 b}+\frac{\text{csch}(a+b x) \text{sech}^4(a+b x)}{4 b}+\frac{5 \text{csch}(a+b x) \text{sech}^2(a+b x)}{8 b}","-\frac{15 \text{csch}(a+b x)}{8 b}-\frac{15 \tan ^{-1}(\sinh (a+b x))}{8 b}+\frac{\text{csch}(a+b x) \text{sech}^4(a+b x)}{4 b}+\frac{5 \text{csch}(a+b x) \text{sech}^2(a+b x)}{8 b}",1,"(-15*ArcTan[Sinh[a + b*x]])/(8*b) - (15*Csch[a + b*x])/(8*b) + (5*Csch[a + b*x]*Sech[a + b*x]^2)/(8*b) + (Csch[a + b*x]*Sech[a + b*x]^4)/(4*b)","A",5,4,17,0.2353,1,"{2621, 288, 321, 207}"
34,1,28,0,0.0247705,"\int \text{csch}^3(a+b x) \text{sech}(a+b x) \, dx","Int[Csch[a + b*x]^3*Sech[a + b*x],x]","-\frac{\coth ^2(a+b x)}{2 b}-\frac{\log (\tanh (a+b x))}{b}","-\frac{\coth ^2(a+b x)}{2 b}-\frac{\log (\tanh (a+b x))}{b}",1,"-Coth[a + b*x]^2/(2*b) - Log[Tanh[a + b*x]]/b","A",3,2,15,0.1333,1,"{2620, 14}"
35,1,49,0,0.0456363,"\int \text{csch}^3(a+b x) \text{sech}^2(a+b x) \, dx","Int[Csch[a + b*x]^3*Sech[a + b*x]^2,x]","-\frac{3 \text{sech}(a+b x)}{2 b}+\frac{3 \tanh ^{-1}(\cosh (a+b x))}{2 b}-\frac{\text{csch}^2(a+b x) \text{sech}(a+b x)}{2 b}","-\frac{3 \text{sech}(a+b x)}{2 b}+\frac{3 \tanh ^{-1}(\cosh (a+b x))}{2 b}-\frac{\text{csch}^2(a+b x) \text{sech}(a+b x)}{2 b}",1,"(3*ArcTanh[Cosh[a + b*x]])/(2*b) - (3*Sech[a + b*x])/(2*b) - (Csch[a + b*x]^2*Sech[a + b*x])/(2*b)","A",4,4,17,0.2353,1,"{2622, 288, 321, 207}"
36,1,43,0,0.044109,"\int \text{csch}^3(a+b x) \text{sech}^3(a+b x) \, dx","Int[Csch[a + b*x]^3*Sech[a + b*x]^3,x]","\frac{\tanh ^2(a+b x)}{2 b}-\frac{\coth ^2(a+b x)}{2 b}-\frac{2 \log (\tanh (a+b x))}{b}","\frac{\tanh ^2(a+b x)}{2 b}-\frac{\coth ^2(a+b x)}{2 b}-\frac{2 \log (\tanh (a+b x))}{b}",1,"-Coth[a + b*x]^2/(2*b) - (2*Log[Tanh[a + b*x]])/b + Tanh[a + b*x]^2/(2*b)","A",4,3,17,0.1765,1,"{2620, 266, 43}"
37,1,66,0,0.0495726,"\int \text{csch}^3(a+b x) \text{sech}^4(a+b x) \, dx","Int[Csch[a + b*x]^3*Sech[a + b*x]^4,x]","-\frac{5 \text{sech}^3(a+b x)}{6 b}-\frac{5 \text{sech}(a+b x)}{2 b}+\frac{5 \tanh ^{-1}(\cosh (a+b x))}{2 b}-\frac{\text{csch}^2(a+b x) \text{sech}^3(a+b x)}{2 b}","-\frac{5 \text{sech}^3(a+b x)}{6 b}-\frac{5 \text{sech}(a+b x)}{2 b}+\frac{5 \tanh ^{-1}(\cosh (a+b x))}{2 b}-\frac{\text{csch}^2(a+b x) \text{sech}^3(a+b x)}{2 b}",1,"(5*ArcTanh[Cosh[a + b*x]])/(2*b) - (5*Sech[a + b*x])/(2*b) - (5*Sech[a + b*x]^3)/(6*b) - (Csch[a + b*x]^2*Sech[a + b*x]^3)/(2*b)","A",5,4,17,0.2353,1,"{2622, 288, 302, 207}"
38,1,58,0,0.0494925,"\int \text{csch}^3(a+b x) \text{sech}^5(a+b x) \, dx","Int[Csch[a + b*x]^3*Sech[a + b*x]^5,x]","-\frac{\tanh ^4(a+b x)}{4 b}+\frac{3 \tanh ^2(a+b x)}{2 b}-\frac{\coth ^2(a+b x)}{2 b}-\frac{3 \log (\tanh (a+b x))}{b}","-\frac{\tanh ^4(a+b x)}{4 b}+\frac{3 \tanh ^2(a+b x)}{2 b}-\frac{\coth ^2(a+b x)}{2 b}-\frac{3 \log (\tanh (a+b x))}{b}",1,"-Coth[a + b*x]^2/(2*b) - (3*Log[Tanh[a + b*x]])/b + (3*Tanh[a + b*x]^2)/(2*b) - Tanh[a + b*x]^4/(4*b)","A",4,3,17,0.1765,1,"{2620, 266, 43}"
39,1,37,0,0.0270247,"\int \text{csch}^4(a+b x) \text{sech}(a+b x) \, dx","Int[Csch[a + b*x]^4*Sech[a + b*x],x]","-\frac{\text{csch}^3(a+b x)}{3 b}+\frac{\text{csch}(a+b x)}{b}+\frac{\tan ^{-1}(\sinh (a+b x))}{b}","-\frac{\text{csch}^3(a+b x)}{3 b}+\frac{\text{csch}(a+b x)}{b}+\frac{\tan ^{-1}(\sinh (a+b x))}{b}",1,"ArcTan[Sinh[a + b*x]]/b + Csch[a + b*x]/b - Csch[a + b*x]^3/(3*b)","A",4,3,15,0.2000,1,"{2621, 302, 207}"
40,1,37,0,0.0367932,"\int \text{csch}^4(a+b x) \text{sech}^2(a+b x) \, dx","Int[Csch[a + b*x]^4*Sech[a + b*x]^2,x]","\frac{\tanh (a+b x)}{b}-\frac{\coth ^3(a+b x)}{3 b}+\frac{2 \coth (a+b x)}{b}","\frac{\tanh (a+b x)}{b}-\frac{\coth ^3(a+b x)}{3 b}+\frac{2 \coth (a+b x)}{b}",1,"(2*Coth[a + b*x])/b - Coth[a + b*x]^3/(3*b) + Tanh[a + b*x]/b","A",3,2,17,0.1176,1,"{2620, 270}"
41,1,66,0,0.0432956,"\int \text{csch}^4(a+b x) \text{sech}^3(a+b x) \, dx","Int[Csch[a + b*x]^4*Sech[a + b*x]^3,x]","-\frac{5 \text{csch}^3(a+b x)}{6 b}+\frac{5 \text{csch}(a+b x)}{2 b}+\frac{5 \tan ^{-1}(\sinh (a+b x))}{2 b}+\frac{\text{csch}^3(a+b x) \text{sech}^2(a+b x)}{2 b}","-\frac{5 \text{csch}^3(a+b x)}{6 b}+\frac{5 \text{csch}(a+b x)}{2 b}+\frac{5 \tan ^{-1}(\sinh (a+b x))}{2 b}+\frac{\text{csch}^3(a+b x) \text{sech}^2(a+b x)}{2 b}",1,"(5*ArcTan[Sinh[a + b*x]])/(2*b) + (5*Csch[a + b*x])/(2*b) - (5*Csch[a + b*x]^3)/(6*b) + (Csch[a + b*x]^3*Sech[a + b*x]^2)/(2*b)","A",5,4,17,0.2353,1,"{2621, 288, 302, 207}"
42,1,53,0,0.0395316,"\int \text{csch}^4(a+b x) \text{sech}^4(a+b x) \, dx","Int[Csch[a + b*x]^4*Sech[a + b*x]^4,x]","-\frac{\tanh ^3(a+b x)}{3 b}+\frac{3 \tanh (a+b x)}{b}-\frac{\coth ^3(a+b x)}{3 b}+\frac{3 \coth (a+b x)}{b}","-\frac{\tanh ^3(a+b x)}{3 b}+\frac{3 \tanh (a+b x)}{b}-\frac{\coth ^3(a+b x)}{3 b}+\frac{3 \coth (a+b x)}{b}",1,"(3*Coth[a + b*x])/b - Coth[a + b*x]^3/(3*b) + (3*Tanh[a + b*x])/b - Tanh[a + b*x]^3/(3*b)","A",3,2,17,0.1176,1,"{2620, 270}"
43,1,89,0,0.0478115,"\int \text{csch}^4(a+b x) \text{sech}^5(a+b x) \, dx","Int[Csch[a + b*x]^4*Sech[a + b*x]^5,x]","-\frac{35 \text{csch}^3(a+b x)}{24 b}+\frac{35 \text{csch}(a+b x)}{8 b}+\frac{35 \tan ^{-1}(\sinh (a+b x))}{8 b}+\frac{\text{csch}^3(a+b x) \text{sech}^4(a+b x)}{4 b}+\frac{7 \text{csch}^3(a+b x) \text{sech}^2(a+b x)}{8 b}","-\frac{35 \text{csch}^3(a+b x)}{24 b}+\frac{35 \text{csch}(a+b x)}{8 b}+\frac{35 \tan ^{-1}(\sinh (a+b x))}{8 b}+\frac{\text{csch}^3(a+b x) \text{sech}^4(a+b x)}{4 b}+\frac{7 \text{csch}^3(a+b x) \text{sech}^2(a+b x)}{8 b}",1,"(35*ArcTan[Sinh[a + b*x]])/(8*b) + (35*Csch[a + b*x])/(8*b) - (35*Csch[a + b*x]^3)/(24*b) + (7*Csch[a + b*x]^3*Sech[a + b*x]^2)/(8*b) + (Csch[a + b*x]^3*Sech[a + b*x]^4)/(4*b)","A",6,4,17,0.2353,1,"{2621, 288, 302, 207}"
44,1,39,0,0.0320298,"\int \text{csch}^5(a+b x) \text{sech}(a+b x) \, dx","Int[Csch[a + b*x]^5*Sech[a + b*x],x]","-\frac{\coth ^4(a+b x)}{4 b}+\frac{\coth ^2(a+b x)}{b}+\frac{\log (\tanh (a+b x))}{b}","-\frac{\coth ^4(a+b x)}{4 b}+\frac{\coth ^2(a+b x)}{b}+\frac{\log (\tanh (a+b x))}{b}",1,"Coth[a + b*x]^2/b - Coth[a + b*x]^4/(4*b) + Log[Tanh[a + b*x]]/b","A",4,3,15,0.2000,1,"{2620, 266, 43}"
45,1,70,0,0.0501103,"\int \text{csch}^5(a+b x) \text{sech}^2(a+b x) \, dx","Int[Csch[a + b*x]^5*Sech[a + b*x]^2,x]","\frac{15 \text{sech}(a+b x)}{8 b}-\frac{15 \tanh ^{-1}(\cosh (a+b x))}{8 b}-\frac{\text{csch}^4(a+b x) \text{sech}(a+b x)}{4 b}+\frac{5 \text{csch}^2(a+b x) \text{sech}(a+b x)}{8 b}","\frac{15 \text{sech}(a+b x)}{8 b}-\frac{15 \tanh ^{-1}(\cosh (a+b x))}{8 b}-\frac{\text{csch}^4(a+b x) \text{sech}(a+b x)}{4 b}+\frac{5 \text{csch}^2(a+b x) \text{sech}(a+b x)}{8 b}",1,"(-15*ArcTanh[Cosh[a + b*x]])/(8*b) + (15*Sech[a + b*x])/(8*b) + (5*Csch[a + b*x]^2*Sech[a + b*x])/(8*b) - (Csch[a + b*x]^4*Sech[a + b*x])/(4*b)","A",5,4,17,0.2353,1,"{2622, 288, 321, 207}"
46,1,58,0,0.0451177,"\int \text{csch}^5(a+b x) \text{sech}^3(a+b x) \, dx","Int[Csch[a + b*x]^5*Sech[a + b*x]^3,x]","-\frac{\tanh ^2(a+b x)}{2 b}-\frac{\coth ^4(a+b x)}{4 b}+\frac{3 \coth ^2(a+b x)}{2 b}+\frac{3 \log (\tanh (a+b x))}{b}","-\frac{\tanh ^2(a+b x)}{2 b}-\frac{\coth ^4(a+b x)}{4 b}+\frac{3 \coth ^2(a+b x)}{2 b}+\frac{3 \log (\tanh (a+b x))}{b}",1,"(3*Coth[a + b*x]^2)/(2*b) - Coth[a + b*x]^4/(4*b) + (3*Log[Tanh[a + b*x]])/b - Tanh[a + b*x]^2/(2*b)","A",4,3,17,0.1765,1,"{2620, 266, 43}"
47,1,89,0,0.055344,"\int \text{csch}^5(a+b x) \text{sech}^4(a+b x) \, dx","Int[Csch[a + b*x]^5*Sech[a + b*x]^4,x]","\frac{35 \text{sech}^3(a+b x)}{24 b}+\frac{35 \text{sech}(a+b x)}{8 b}-\frac{35 \tanh ^{-1}(\cosh (a+b x))}{8 b}-\frac{\text{csch}^4(a+b x) \text{sech}^3(a+b x)}{4 b}+\frac{7 \text{csch}^2(a+b x) \text{sech}^3(a+b x)}{8 b}","\frac{35 \text{sech}^3(a+b x)}{24 b}+\frac{35 \text{sech}(a+b x)}{8 b}-\frac{35 \tanh ^{-1}(\cosh (a+b x))}{8 b}-\frac{\text{csch}^4(a+b x) \text{sech}^3(a+b x)}{4 b}+\frac{7 \text{csch}^2(a+b x) \text{sech}^3(a+b x)}{8 b}",1,"(-35*ArcTanh[Cosh[a + b*x]])/(8*b) + (35*Sech[a + b*x])/(8*b) + (35*Sech[a + b*x]^3)/(24*b) + (7*Csch[a + b*x]^2*Sech[a + b*x]^3)/(8*b) - (Csch[a + b*x]^4*Sech[a + b*x]^3)/(4*b)","A",6,4,17,0.2353,1,"{2622, 288, 302, 207}"
48,1,69,0,0.0539318,"\int \text{csch}^5(a+b x) \text{sech}^5(a+b x) \, dx","Int[Csch[a + b*x]^5*Sech[a + b*x]^5,x]","\frac{\tanh ^4(a+b x)}{4 b}-\frac{2 \tanh ^2(a+b x)}{b}-\frac{\coth ^4(a+b x)}{4 b}+\frac{2 \coth ^2(a+b x)}{b}+\frac{6 \log (\tanh (a+b x))}{b}","\frac{\tanh ^4(a+b x)}{4 b}-\frac{2 \tanh ^2(a+b x)}{b}-\frac{\coth ^4(a+b x)}{4 b}+\frac{2 \coth ^2(a+b x)}{b}+\frac{6 \log (\tanh (a+b x))}{b}",1,"(2*Coth[a + b*x]^2)/b - Coth[a + b*x]^4/(4*b) + (6*Log[Tanh[a + b*x]])/b - (2*Tanh[a + b*x]^2)/b + Tanh[a + b*x]^4/(4*b)","A",4,3,17,0.1765,1,"{2620, 266, 43}"
49,1,106,0,0.1161347,"\int \frac{\sinh ^{\frac{7}{2}}(a+b x)}{\cosh ^{\frac{7}{2}}(a+b x)} \, dx","Int[Sinh[a + b*x]^(7/2)/Cosh[a + b*x]^(7/2),x]","-\frac{2 \sinh ^{\frac{5}{2}}(a+b x)}{5 b \cosh ^{\frac{5}{2}}(a+b x)}-\frac{2 \sqrt{\sinh (a+b x)}}{b \sqrt{\cosh (a+b x)}}-\frac{\tan ^{-1}\left(\frac{\sqrt{\cosh (a+b x)}}{\sqrt{\sinh (a+b x)}}\right)}{b}+\frac{\tanh ^{-1}\left(\frac{\sqrt{\cosh (a+b x)}}{\sqrt{\sinh (a+b x)}}\right)}{b}","-\frac{2 \sinh ^{\frac{5}{2}}(a+b x)}{5 b \cosh ^{\frac{5}{2}}(a+b x)}-\frac{2 \sqrt{\sinh (a+b x)}}{b \sqrt{\cosh (a+b x)}}-\frac{\tan ^{-1}\left(\frac{\sqrt{\cosh (a+b x)}}{\sqrt{\sinh (a+b x)}}\right)}{b}+\frac{\tanh ^{-1}\left(\frac{\sqrt{\cosh (a+b x)}}{\sqrt{\sinh (a+b x)}}\right)}{b}",1,"-(ArcTan[Sqrt[Cosh[a + b*x]]/Sqrt[Sinh[a + b*x]]]/b) + ArcTanh[Sqrt[Cosh[a + b*x]]/Sqrt[Sinh[a + b*x]]]/b - (2*Sqrt[Sinh[a + b*x]])/(b*Sqrt[Cosh[a + b*x]]) - (2*Sinh[a + b*x]^(5/2))/(5*b*Cosh[a + b*x]^(5/2))","A",6,5,21,0.2381,1,"{2566, 2575, 298, 203, 206}"
50,1,81,0,0.0811908,"\int \frac{\sinh ^{\frac{5}{2}}(a+b x)}{\cosh ^{\frac{5}{2}}(a+b x)} \, dx","Int[Sinh[a + b*x]^(5/2)/Cosh[a + b*x]^(5/2),x]","-\frac{2 \sinh ^{\frac{3}{2}}(a+b x)}{3 b \cosh ^{\frac{3}{2}}(a+b x)}-\frac{\tan ^{-1}\left(\frac{\sqrt{\sinh (a+b x)}}{\sqrt{\cosh (a+b x)}}\right)}{b}+\frac{\tanh ^{-1}\left(\frac{\sqrt{\sinh (a+b x)}}{\sqrt{\cosh (a+b x)}}\right)}{b}","-\frac{2 \sinh ^{\frac{3}{2}}(a+b x)}{3 b \cosh ^{\frac{3}{2}}(a+b x)}-\frac{\tan ^{-1}\left(\frac{\sqrt{\sinh (a+b x)}}{\sqrt{\cosh (a+b x)}}\right)}{b}+\frac{\tanh ^{-1}\left(\frac{\sqrt{\sinh (a+b x)}}{\sqrt{\cosh (a+b x)}}\right)}{b}",1,"-(ArcTan[Sqrt[Sinh[a + b*x]]/Sqrt[Cosh[a + b*x]]]/b) + ArcTanh[Sqrt[Sinh[a + b*x]]/Sqrt[Cosh[a + b*x]]]/b - (2*Sinh[a + b*x]^(3/2))/(3*b*Cosh[a + b*x]^(3/2))","A",5,5,21,0.2381,1,"{2566, 2574, 298, 203, 206}"
51,1,79,0,0.0733108,"\int \frac{\sinh ^{\frac{3}{2}}(a+b x)}{\cosh ^{\frac{3}{2}}(a+b x)} \, dx","Int[Sinh[a + b*x]^(3/2)/Cosh[a + b*x]^(3/2),x]","-\frac{2 \sqrt{\sinh (a+b x)}}{b \sqrt{\cosh (a+b x)}}-\frac{\tan ^{-1}\left(\frac{\sqrt{\cosh (a+b x)}}{\sqrt{\sinh (a+b x)}}\right)}{b}+\frac{\tanh ^{-1}\left(\frac{\sqrt{\cosh (a+b x)}}{\sqrt{\sinh (a+b x)}}\right)}{b}","-\frac{2 \sqrt{\sinh (a+b x)}}{b \sqrt{\cosh (a+b x)}}-\frac{\tan ^{-1}\left(\frac{\sqrt{\cosh (a+b x)}}{\sqrt{\sinh (a+b x)}}\right)}{b}+\frac{\tanh ^{-1}\left(\frac{\sqrt{\cosh (a+b x)}}{\sqrt{\sinh (a+b x)}}\right)}{b}",1,"-(ArcTan[Sqrt[Cosh[a + b*x]]/Sqrt[Sinh[a + b*x]]]/b) + ArcTanh[Sqrt[Cosh[a + b*x]]/Sqrt[Sinh[a + b*x]]]/b - (2*Sqrt[Sinh[a + b*x]])/(b*Sqrt[Cosh[a + b*x]])","A",5,5,21,0.2381,1,"{2566, 2575, 298, 203, 206}"
52,1,54,0,0.0374936,"\int \frac{\sqrt{\sinh (a+b x)}}{\sqrt{\cosh (a+b x)}} \, dx","Int[Sqrt[Sinh[a + b*x]]/Sqrt[Cosh[a + b*x]],x]","\frac{\tanh ^{-1}\left(\frac{\sqrt{\sinh (a+b x)}}{\sqrt{\cosh (a+b x)}}\right)}{b}-\frac{\tan ^{-1}\left(\frac{\sqrt{\sinh (a+b x)}}{\sqrt{\cosh (a+b x)}}\right)}{b}","\frac{\tanh ^{-1}\left(\frac{\sqrt{\sinh (a+b x)}}{\sqrt{\cosh (a+b x)}}\right)}{b}-\frac{\tan ^{-1}\left(\frac{\sqrt{\sinh (a+b x)}}{\sqrt{\cosh (a+b x)}}\right)}{b}",1,"-(ArcTan[Sqrt[Sinh[a + b*x]]/Sqrt[Cosh[a + b*x]]]/b) + ArcTanh[Sqrt[Sinh[a + b*x]]/Sqrt[Cosh[a + b*x]]]/b","A",4,4,21,0.1905,1,"{2574, 298, 203, 206}"
53,1,54,0,0.0381403,"\int \frac{\sqrt{\cosh (a+b x)}}{\sqrt{\sinh (a+b x)}} \, dx","Int[Sqrt[Cosh[a + b*x]]/Sqrt[Sinh[a + b*x]],x]","\frac{\tanh ^{-1}\left(\frac{\sqrt{\cosh (a+b x)}}{\sqrt{\sinh (a+b x)}}\right)}{b}-\frac{\tan ^{-1}\left(\frac{\sqrt{\cosh (a+b x)}}{\sqrt{\sinh (a+b x)}}\right)}{b}","\frac{\tanh ^{-1}\left(\frac{\sqrt{\cosh (a+b x)}}{\sqrt{\sinh (a+b x)}}\right)}{b}-\frac{\tan ^{-1}\left(\frac{\sqrt{\cosh (a+b x)}}{\sqrt{\sinh (a+b x)}}\right)}{b}",1,"-(ArcTan[Sqrt[Cosh[a + b*x]]/Sqrt[Sinh[a + b*x]]]/b) + ArcTanh[Sqrt[Cosh[a + b*x]]/Sqrt[Sinh[a + b*x]]]/b","A",4,4,21,0.1905,1,"{2575, 298, 203, 206}"
54,1,79,0,0.0713767,"\int \frac{\cosh ^{\frac{3}{2}}(a+b x)}{\sinh ^{\frac{3}{2}}(a+b x)} \, dx","Int[Cosh[a + b*x]^(3/2)/Sinh[a + b*x]^(3/2),x]","-\frac{2 \sqrt{\cosh (a+b x)}}{b \sqrt{\sinh (a+b x)}}-\frac{\tan ^{-1}\left(\frac{\sqrt{\sinh (a+b x)}}{\sqrt{\cosh (a+b x)}}\right)}{b}+\frac{\tanh ^{-1}\left(\frac{\sqrt{\sinh (a+b x)}}{\sqrt{\cosh (a+b x)}}\right)}{b}","-\frac{2 \sqrt{\cosh (a+b x)}}{b \sqrt{\sinh (a+b x)}}-\frac{\tan ^{-1}\left(\frac{\sqrt{\sinh (a+b x)}}{\sqrt{\cosh (a+b x)}}\right)}{b}+\frac{\tanh ^{-1}\left(\frac{\sqrt{\sinh (a+b x)}}{\sqrt{\cosh (a+b x)}}\right)}{b}",1,"-(ArcTan[Sqrt[Sinh[a + b*x]]/Sqrt[Cosh[a + b*x]]]/b) + ArcTanh[Sqrt[Sinh[a + b*x]]/Sqrt[Cosh[a + b*x]]]/b - (2*Sqrt[Cosh[a + b*x]])/(b*Sqrt[Sinh[a + b*x]])","A",5,5,21,0.2381,1,"{2567, 2574, 298, 203, 206}"
55,1,81,0,0.0729338,"\int \frac{\cosh ^{\frac{5}{2}}(a+b x)}{\sinh ^{\frac{5}{2}}(a+b x)} \, dx","Int[Cosh[a + b*x]^(5/2)/Sinh[a + b*x]^(5/2),x]","-\frac{2 \cosh ^{\frac{3}{2}}(a+b x)}{3 b \sinh ^{\frac{3}{2}}(a+b x)}-\frac{\tan ^{-1}\left(\frac{\sqrt{\cosh (a+b x)}}{\sqrt{\sinh (a+b x)}}\right)}{b}+\frac{\tanh ^{-1}\left(\frac{\sqrt{\cosh (a+b x)}}{\sqrt{\sinh (a+b x)}}\right)}{b}","-\frac{2 \cosh ^{\frac{3}{2}}(a+b x)}{3 b \sinh ^{\frac{3}{2}}(a+b x)}-\frac{\tan ^{-1}\left(\frac{\sqrt{\cosh (a+b x)}}{\sqrt{\sinh (a+b x)}}\right)}{b}+\frac{\tanh ^{-1}\left(\frac{\sqrt{\cosh (a+b x)}}{\sqrt{\sinh (a+b x)}}\right)}{b}",1,"-(ArcTan[Sqrt[Cosh[a + b*x]]/Sqrt[Sinh[a + b*x]]]/b) + ArcTanh[Sqrt[Cosh[a + b*x]]/Sqrt[Sinh[a + b*x]]]/b - (2*Cosh[a + b*x]^(3/2))/(3*b*Sinh[a + b*x]^(3/2))","A",5,5,21,0.2381,1,"{2567, 2575, 298, 203, 206}"
56,1,106,0,0.1054443,"\int \frac{\cosh ^{\frac{7}{2}}(a+b x)}{\sinh ^{\frac{7}{2}}(a+b x)} \, dx","Int[Cosh[a + b*x]^(7/2)/Sinh[a + b*x]^(7/2),x]","-\frac{2 \cosh ^{\frac{5}{2}}(a+b x)}{5 b \sinh ^{\frac{5}{2}}(a+b x)}-\frac{2 \sqrt{\cosh (a+b x)}}{b \sqrt{\sinh (a+b x)}}-\frac{\tan ^{-1}\left(\frac{\sqrt{\sinh (a+b x)}}{\sqrt{\cosh (a+b x)}}\right)}{b}+\frac{\tanh ^{-1}\left(\frac{\sqrt{\sinh (a+b x)}}{\sqrt{\cosh (a+b x)}}\right)}{b}","-\frac{2 \cosh ^{\frac{5}{2}}(a+b x)}{5 b \sinh ^{\frac{5}{2}}(a+b x)}-\frac{2 \sqrt{\cosh (a+b x)}}{b \sqrt{\sinh (a+b x)}}-\frac{\tan ^{-1}\left(\frac{\sqrt{\sinh (a+b x)}}{\sqrt{\cosh (a+b x)}}\right)}{b}+\frac{\tanh ^{-1}\left(\frac{\sqrt{\sinh (a+b x)}}{\sqrt{\cosh (a+b x)}}\right)}{b}",1,"-(ArcTan[Sqrt[Sinh[a + b*x]]/Sqrt[Cosh[a + b*x]]]/b) + ArcTanh[Sqrt[Sinh[a + b*x]]/Sqrt[Cosh[a + b*x]]]/b - (2*Cosh[a + b*x]^(5/2))/(5*b*Sinh[a + b*x]^(5/2)) - (2*Sqrt[Cosh[a + b*x]])/(b*Sqrt[Sinh[a + b*x]])","A",6,5,21,0.2381,1,"{2567, 2574, 298, 203, 206}"
57,1,155,0,0.1819874,"\int \frac{\sinh ^{\frac{7}{3}}(a+b x)}{\cosh ^{\frac{7}{3}}(a+b x)} \, dx","Int[Sinh[a + b*x]^(7/3)/Cosh[a + b*x]^(7/3),x]","-\frac{3 \sinh ^{\frac{4}{3}}(a+b x)}{4 b \cosh ^{\frac{4}{3}}(a+b x)}-\frac{\log \left(1-\frac{\sinh ^{\frac{2}{3}}(a+b x)}{\cosh ^{\frac{2}{3}}(a+b x)}\right)}{2 b}+\frac{\log \left(\frac{\sinh ^{\frac{4}{3}}(a+b x)}{\cosh ^{\frac{4}{3}}(a+b x)}+\frac{\sinh ^{\frac{2}{3}}(a+b x)}{\cosh ^{\frac{2}{3}}(a+b x)}+1\right)}{4 b}-\frac{\sqrt{3} \tan ^{-1}\left(\frac{\frac{2 \sinh ^{\frac{2}{3}}(a+b x)}{\cosh ^{\frac{2}{3}}(a+b x)}+1}{\sqrt{3}}\right)}{2 b}","-\frac{3 \sinh ^{\frac{4}{3}}(a+b x)}{4 b \cosh ^{\frac{4}{3}}(a+b x)}-\frac{\log \left(1-\frac{\sinh ^{\frac{2}{3}}(a+b x)}{\cosh ^{\frac{2}{3}}(a+b x)}\right)}{2 b}+\frac{\log \left(\frac{\sinh ^{\frac{4}{3}}(a+b x)}{\cosh ^{\frac{4}{3}}(a+b x)}+\frac{\sinh ^{\frac{2}{3}}(a+b x)}{\cosh ^{\frac{2}{3}}(a+b x)}+1\right)}{4 b}-\frac{\sqrt{3} \tan ^{-1}\left(\frac{\frac{2 \sinh ^{\frac{2}{3}}(a+b x)}{\cosh ^{\frac{2}{3}}(a+b x)}+1}{\sqrt{3}}\right)}{2 b}",1,"-(Sqrt[3]*ArcTan[(1 + (2*Sinh[a + b*x]^(2/3))/Cosh[a + b*x]^(2/3))/Sqrt[3]])/(2*b) - Log[1 - Sinh[a + b*x]^(2/3)/Cosh[a + b*x]^(2/3)]/(2*b) + Log[1 + Sinh[a + b*x]^(2/3)/Cosh[a + b*x]^(2/3) + Sinh[a + b*x]^(4/3)/Cosh[a + b*x]^(4/3)]/(4*b) - (3*Sinh[a + b*x]^(4/3))/(4*b*Cosh[a + b*x]^(4/3))","A",9,9,21,0.4286,1,"{2566, 2574, 275, 292, 31, 634, 618, 204, 628}"
58,1,155,0,0.1820964,"\int \frac{\sinh ^{\frac{5}{3}}(a+b x)}{\cosh ^{\frac{5}{3}}(a+b x)} \, dx","Int[Sinh[a + b*x]^(5/3)/Cosh[a + b*x]^(5/3),x]","-\frac{3 \sinh ^{\frac{2}{3}}(a+b x)}{2 b \cosh ^{\frac{2}{3}}(a+b x)}-\frac{\log \left(1-\frac{\cosh ^{\frac{2}{3}}(a+b x)}{\sinh ^{\frac{2}{3}}(a+b x)}\right)}{2 b}+\frac{\log \left(\frac{\cosh ^{\frac{4}{3}}(a+b x)}{\sinh ^{\frac{4}{3}}(a+b x)}+\frac{\cosh ^{\frac{2}{3}}(a+b x)}{\sinh ^{\frac{2}{3}}(a+b x)}+1\right)}{4 b}-\frac{\sqrt{3} \tan ^{-1}\left(\frac{\frac{2 \cosh ^{\frac{2}{3}}(a+b x)}{\sinh ^{\frac{2}{3}}(a+b x)}+1}{\sqrt{3}}\right)}{2 b}","-\frac{3 \sinh ^{\frac{2}{3}}(a+b x)}{2 b \cosh ^{\frac{2}{3}}(a+b x)}-\frac{\log \left(1-\frac{\cosh ^{\frac{2}{3}}(a+b x)}{\sinh ^{\frac{2}{3}}(a+b x)}\right)}{2 b}+\frac{\log \left(\frac{\cosh ^{\frac{4}{3}}(a+b x)}{\sinh ^{\frac{4}{3}}(a+b x)}+\frac{\cosh ^{\frac{2}{3}}(a+b x)}{\sinh ^{\frac{2}{3}}(a+b x)}+1\right)}{4 b}-\frac{\sqrt{3} \tan ^{-1}\left(\frac{\frac{2 \cosh ^{\frac{2}{3}}(a+b x)}{\sinh ^{\frac{2}{3}}(a+b x)}+1}{\sqrt{3}}\right)}{2 b}",1,"-(Sqrt[3]*ArcTan[(1 + (2*Cosh[a + b*x]^(2/3))/Sinh[a + b*x]^(2/3))/Sqrt[3]])/(2*b) - Log[1 - Cosh[a + b*x]^(2/3)/Sinh[a + b*x]^(2/3)]/(2*b) + Log[1 + Cosh[a + b*x]^(4/3)/Sinh[a + b*x]^(4/3) + Cosh[a + b*x]^(2/3)/Sinh[a + b*x]^(2/3)]/(4*b) - (3*Sinh[a + b*x]^(2/3))/(2*b*Cosh[a + b*x]^(2/3))","A",9,9,21,0.4286,1,"{2566, 2575, 275, 292, 31, 634, 618, 204, 628}"
59,1,243,0,0.2442659,"\int \frac{\sinh ^{\frac{4}{3}}(a+b x)}{\cosh ^{\frac{4}{3}}(a+b x)} \, dx","Int[Sinh[a + b*x]^(4/3)/Cosh[a + b*x]^(4/3),x]","-\frac{3 \sqrt[3]{\sinh (a+b x)}}{b \sqrt[3]{\cosh (a+b x)}}-\frac{\log \left(\frac{\cosh ^{\frac{2}{3}}(a+b x)}{\sinh ^{\frac{2}{3}}(a+b x)}-\frac{\sqrt[3]{\cosh (a+b x)}}{\sqrt[3]{\sinh (a+b x)}}+1\right)}{4 b}+\frac{\log \left(\frac{\cosh ^{\frac{2}{3}}(a+b x)}{\sinh ^{\frac{2}{3}}(a+b x)}+\frac{\sqrt[3]{\cosh (a+b x)}}{\sqrt[3]{\sinh (a+b x)}}+1\right)}{4 b}+\frac{\sqrt{3} \tan ^{-1}\left(\frac{1-\frac{2 \sqrt[3]{\cosh (a+b x)}}{\sqrt[3]{\sinh (a+b x)}}}{\sqrt{3}}\right)}{2 b}-\frac{\sqrt{3} \tan ^{-1}\left(\frac{\frac{2 \sqrt[3]{\cosh (a+b x)}}{\sqrt[3]{\sinh (a+b x)}}+1}{\sqrt{3}}\right)}{2 b}+\frac{\tanh ^{-1}\left(\frac{\sqrt[3]{\cosh (a+b x)}}{\sqrt[3]{\sinh (a+b x)}}\right)}{b}","-\frac{3 \sqrt[3]{\sinh (a+b x)}}{b \sqrt[3]{\cosh (a+b x)}}-\frac{\log \left(\frac{\cosh ^{\frac{2}{3}}(a+b x)}{\sinh ^{\frac{2}{3}}(a+b x)}-\frac{\sqrt[3]{\cosh (a+b x)}}{\sqrt[3]{\sinh (a+b x)}}+1\right)}{4 b}+\frac{\log \left(\frac{\cosh ^{\frac{2}{3}}(a+b x)}{\sinh ^{\frac{2}{3}}(a+b x)}+\frac{\sqrt[3]{\cosh (a+b x)}}{\sqrt[3]{\sinh (a+b x)}}+1\right)}{4 b}+\frac{\sqrt{3} \tan ^{-1}\left(\frac{1-\frac{2 \sqrt[3]{\cosh (a+b x)}}{\sqrt[3]{\sinh (a+b x)}}}{\sqrt{3}}\right)}{2 b}-\frac{\sqrt{3} \tan ^{-1}\left(\frac{\frac{2 \sqrt[3]{\cosh (a+b x)}}{\sqrt[3]{\sinh (a+b x)}}+1}{\sqrt{3}}\right)}{2 b}+\frac{\tanh ^{-1}\left(\frac{\sqrt[3]{\cosh (a+b x)}}{\sqrt[3]{\sinh (a+b x)}}\right)}{b}",1,"(Sqrt[3]*ArcTan[(1 - (2*Cosh[a + b*x]^(1/3))/Sinh[a + b*x]^(1/3))/Sqrt[3]])/(2*b) - (Sqrt[3]*ArcTan[(1 + (2*Cosh[a + b*x]^(1/3))/Sinh[a + b*x]^(1/3))/Sqrt[3]])/(2*b) + ArcTanh[Cosh[a + b*x]^(1/3)/Sinh[a + b*x]^(1/3)]/b - Log[1 + Cosh[a + b*x]^(2/3)/Sinh[a + b*x]^(2/3) - Cosh[a + b*x]^(1/3)/Sinh[a + b*x]^(1/3)]/(4*b) + Log[1 + Cosh[a + b*x]^(2/3)/Sinh[a + b*x]^(2/3) + Cosh[a + b*x]^(1/3)/Sinh[a + b*x]^(1/3)]/(4*b) - (3*Sinh[a + b*x]^(1/3))/(b*Cosh[a + b*x]^(1/3))","A",12,8,21,0.3810,1,"{2566, 2575, 296, 634, 618, 204, 628, 206}"
60,1,218,0,0.2230593,"\int \frac{\sinh ^{\frac{2}{3}}(a+b x)}{\cosh ^{\frac{2}{3}}(a+b x)} \, dx","Int[Sinh[a + b*x]^(2/3)/Cosh[a + b*x]^(2/3),x]","-\frac{\log \left(\frac{\sinh ^{\frac{2}{3}}(a+b x)}{\cosh ^{\frac{2}{3}}(a+b x)}-\frac{\sqrt[3]{\sinh (a+b x)}}{\sqrt[3]{\cosh (a+b x)}}+1\right)}{4 b}+\frac{\log \left(\frac{\sinh ^{\frac{2}{3}}(a+b x)}{\cosh ^{\frac{2}{3}}(a+b x)}+\frac{\sqrt[3]{\sinh (a+b x)}}{\sqrt[3]{\cosh (a+b x)}}+1\right)}{4 b}+\frac{\sqrt{3} \tan ^{-1}\left(\frac{1-\frac{2 \sqrt[3]{\sinh (a+b x)}}{\sqrt[3]{\cosh (a+b x)}}}{\sqrt{3}}\right)}{2 b}-\frac{\sqrt{3} \tan ^{-1}\left(\frac{\frac{2 \sqrt[3]{\sinh (a+b x)}}{\sqrt[3]{\cosh (a+b x)}}+1}{\sqrt{3}}\right)}{2 b}+\frac{\tanh ^{-1}\left(\frac{\sqrt[3]{\sinh (a+b x)}}{\sqrt[3]{\cosh (a+b x)}}\right)}{b}","-\frac{\log \left(\frac{\sinh ^{\frac{2}{3}}(a+b x)}{\cosh ^{\frac{2}{3}}(a+b x)}-\frac{\sqrt[3]{\sinh (a+b x)}}{\sqrt[3]{\cosh (a+b x)}}+1\right)}{4 b}+\frac{\log \left(\frac{\sinh ^{\frac{2}{3}}(a+b x)}{\cosh ^{\frac{2}{3}}(a+b x)}+\frac{\sqrt[3]{\sinh (a+b x)}}{\sqrt[3]{\cosh (a+b x)}}+1\right)}{4 b}+\frac{\sqrt{3} \tan ^{-1}\left(\frac{1-\frac{2 \sqrt[3]{\sinh (a+b x)}}{\sqrt[3]{\cosh (a+b x)}}}{\sqrt{3}}\right)}{2 b}-\frac{\sqrt{3} \tan ^{-1}\left(\frac{\frac{2 \sqrt[3]{\sinh (a+b x)}}{\sqrt[3]{\cosh (a+b x)}}+1}{\sqrt{3}}\right)}{2 b}+\frac{\tanh ^{-1}\left(\frac{\sqrt[3]{\sinh (a+b x)}}{\sqrt[3]{\cosh (a+b x)}}\right)}{b}",1,"(Sqrt[3]*ArcTan[(1 - (2*Sinh[a + b*x]^(1/3))/Cosh[a + b*x]^(1/3))/Sqrt[3]])/(2*b) - (Sqrt[3]*ArcTan[(1 + (2*Sinh[a + b*x]^(1/3))/Cosh[a + b*x]^(1/3))/Sqrt[3]])/(2*b) + ArcTanh[Sinh[a + b*x]^(1/3)/Cosh[a + b*x]^(1/3)]/b - Log[1 - Sinh[a + b*x]^(1/3)/Cosh[a + b*x]^(1/3) + Sinh[a + b*x]^(2/3)/Cosh[a + b*x]^(2/3)]/(4*b) + Log[1 + Sinh[a + b*x]^(1/3)/Cosh[a + b*x]^(1/3) + Sinh[a + b*x]^(2/3)/Cosh[a + b*x]^(2/3)]/(4*b)","A",11,7,21,0.3333,1,"{2574, 296, 634, 618, 204, 628, 206}"
61,1,128,0,0.0924688,"\int \frac{\sqrt[3]{\sinh (a+b x)}}{\sqrt[3]{\cosh (a+b x)}} \, dx","Int[Sinh[a + b*x]^(1/3)/Cosh[a + b*x]^(1/3),x]","-\frac{\log \left(1-\frac{\sinh ^{\frac{2}{3}}(a+b x)}{\cosh ^{\frac{2}{3}}(a+b x)}\right)}{2 b}+\frac{\log \left(\frac{\sinh ^{\frac{4}{3}}(a+b x)}{\cosh ^{\frac{4}{3}}(a+b x)}+\frac{\sinh ^{\frac{2}{3}}(a+b x)}{\cosh ^{\frac{2}{3}}(a+b x)}+1\right)}{4 b}-\frac{\sqrt{3} \tan ^{-1}\left(\frac{\frac{2 \sinh ^{\frac{2}{3}}(a+b x)}{\cosh ^{\frac{2}{3}}(a+b x)}+1}{\sqrt{3}}\right)}{2 b}","-\frac{\log \left(1-\frac{\sinh ^{\frac{2}{3}}(a+b x)}{\cosh ^{\frac{2}{3}}(a+b x)}\right)}{2 b}+\frac{\log \left(\frac{\sinh ^{\frac{4}{3}}(a+b x)}{\cosh ^{\frac{4}{3}}(a+b x)}+\frac{\sinh ^{\frac{2}{3}}(a+b x)}{\cosh ^{\frac{2}{3}}(a+b x)}+1\right)}{4 b}-\frac{\sqrt{3} \tan ^{-1}\left(\frac{\frac{2 \sinh ^{\frac{2}{3}}(a+b x)}{\cosh ^{\frac{2}{3}}(a+b x)}+1}{\sqrt{3}}\right)}{2 b}",1,"-(Sqrt[3]*ArcTan[(1 + (2*Sinh[a + b*x]^(2/3))/Cosh[a + b*x]^(2/3))/Sqrt[3]])/(2*b) - Log[1 - Sinh[a + b*x]^(2/3)/Cosh[a + b*x]^(2/3)]/(2*b) + Log[1 + Sinh[a + b*x]^(2/3)/Cosh[a + b*x]^(2/3) + Sinh[a + b*x]^(4/3)/Cosh[a + b*x]^(4/3)]/(4*b)","A",8,8,21,0.3810,1,"{2574, 275, 292, 31, 634, 618, 204, 628}"
62,1,128,0,0.0887767,"\int \frac{\sqrt[3]{\cosh (a+b x)}}{\sqrt[3]{\sinh (a+b x)}} \, dx","Int[Cosh[a + b*x]^(1/3)/Sinh[a + b*x]^(1/3),x]","-\frac{\log \left(1-\frac{\cosh ^{\frac{2}{3}}(a+b x)}{\sinh ^{\frac{2}{3}}(a+b x)}\right)}{2 b}+\frac{\log \left(\frac{\cosh ^{\frac{4}{3}}(a+b x)}{\sinh ^{\frac{4}{3}}(a+b x)}+\frac{\cosh ^{\frac{2}{3}}(a+b x)}{\sinh ^{\frac{2}{3}}(a+b x)}+1\right)}{4 b}-\frac{\sqrt{3} \tan ^{-1}\left(\frac{\frac{2 \cosh ^{\frac{2}{3}}(a+b x)}{\sinh ^{\frac{2}{3}}(a+b x)}+1}{\sqrt{3}}\right)}{2 b}","-\frac{\log \left(1-\frac{\cosh ^{\frac{2}{3}}(a+b x)}{\sinh ^{\frac{2}{3}}(a+b x)}\right)}{2 b}+\frac{\log \left(\frac{\cosh ^{\frac{4}{3}}(a+b x)}{\sinh ^{\frac{4}{3}}(a+b x)}+\frac{\cosh ^{\frac{2}{3}}(a+b x)}{\sinh ^{\frac{2}{3}}(a+b x)}+1\right)}{4 b}-\frac{\sqrt{3} \tan ^{-1}\left(\frac{\frac{2 \cosh ^{\frac{2}{3}}(a+b x)}{\sinh ^{\frac{2}{3}}(a+b x)}+1}{\sqrt{3}}\right)}{2 b}",1,"-(Sqrt[3]*ArcTan[(1 + (2*Cosh[a + b*x]^(2/3))/Sinh[a + b*x]^(2/3))/Sqrt[3]])/(2*b) - Log[1 - Cosh[a + b*x]^(2/3)/Sinh[a + b*x]^(2/3)]/(2*b) + Log[1 + Cosh[a + b*x]^(4/3)/Sinh[a + b*x]^(4/3) + Cosh[a + b*x]^(2/3)/Sinh[a + b*x]^(2/3)]/(4*b)","A",8,8,21,0.3810,1,"{2575, 275, 292, 31, 634, 618, 204, 628}"
63,1,218,0,0.2007164,"\int \frac{\cosh ^{\frac{2}{3}}(a+b x)}{\sinh ^{\frac{2}{3}}(a+b x)} \, dx","Int[Cosh[a + b*x]^(2/3)/Sinh[a + b*x]^(2/3),x]","-\frac{\log \left(\frac{\cosh ^{\frac{2}{3}}(a+b x)}{\sinh ^{\frac{2}{3}}(a+b x)}-\frac{\sqrt[3]{\cosh (a+b x)}}{\sqrt[3]{\sinh (a+b x)}}+1\right)}{4 b}+\frac{\log \left(\frac{\cosh ^{\frac{2}{3}}(a+b x)}{\sinh ^{\frac{2}{3}}(a+b x)}+\frac{\sqrt[3]{\cosh (a+b x)}}{\sqrt[3]{\sinh (a+b x)}}+1\right)}{4 b}+\frac{\sqrt{3} \tan ^{-1}\left(\frac{1-\frac{2 \sqrt[3]{\cosh (a+b x)}}{\sqrt[3]{\sinh (a+b x)}}}{\sqrt{3}}\right)}{2 b}-\frac{\sqrt{3} \tan ^{-1}\left(\frac{\frac{2 \sqrt[3]{\cosh (a+b x)}}{\sqrt[3]{\sinh (a+b x)}}+1}{\sqrt{3}}\right)}{2 b}+\frac{\tanh ^{-1}\left(\frac{\sqrt[3]{\cosh (a+b x)}}{\sqrt[3]{\sinh (a+b x)}}\right)}{b}","-\frac{\log \left(\frac{\cosh ^{\frac{2}{3}}(a+b x)}{\sinh ^{\frac{2}{3}}(a+b x)}-\frac{\sqrt[3]{\cosh (a+b x)}}{\sqrt[3]{\sinh (a+b x)}}+1\right)}{4 b}+\frac{\log \left(\frac{\cosh ^{\frac{2}{3}}(a+b x)}{\sinh ^{\frac{2}{3}}(a+b x)}+\frac{\sqrt[3]{\cosh (a+b x)}}{\sqrt[3]{\sinh (a+b x)}}+1\right)}{4 b}+\frac{\sqrt{3} \tan ^{-1}\left(\frac{1-\frac{2 \sqrt[3]{\cosh (a+b x)}}{\sqrt[3]{\sinh (a+b x)}}}{\sqrt{3}}\right)}{2 b}-\frac{\sqrt{3} \tan ^{-1}\left(\frac{\frac{2 \sqrt[3]{\cosh (a+b x)}}{\sqrt[3]{\sinh (a+b x)}}+1}{\sqrt{3}}\right)}{2 b}+\frac{\tanh ^{-1}\left(\frac{\sqrt[3]{\cosh (a+b x)}}{\sqrt[3]{\sinh (a+b x)}}\right)}{b}",1,"(Sqrt[3]*ArcTan[(1 - (2*Cosh[a + b*x]^(1/3))/Sinh[a + b*x]^(1/3))/Sqrt[3]])/(2*b) - (Sqrt[3]*ArcTan[(1 + (2*Cosh[a + b*x]^(1/3))/Sinh[a + b*x]^(1/3))/Sqrt[3]])/(2*b) + ArcTanh[Cosh[a + b*x]^(1/3)/Sinh[a + b*x]^(1/3)]/b - Log[1 + Cosh[a + b*x]^(2/3)/Sinh[a + b*x]^(2/3) - Cosh[a + b*x]^(1/3)/Sinh[a + b*x]^(1/3)]/(4*b) + Log[1 + Cosh[a + b*x]^(2/3)/Sinh[a + b*x]^(2/3) + Cosh[a + b*x]^(1/3)/Sinh[a + b*x]^(1/3)]/(4*b)","A",11,7,21,0.3333,1,"{2575, 296, 634, 618, 204, 628, 206}"
64,1,243,0,0.2358526,"\int \frac{\cosh ^{\frac{4}{3}}(a+b x)}{\sinh ^{\frac{4}{3}}(a+b x)} \, dx","Int[Cosh[a + b*x]^(4/3)/Sinh[a + b*x]^(4/3),x]","-\frac{3 \sqrt[3]{\cosh (a+b x)}}{b \sqrt[3]{\sinh (a+b x)}}-\frac{\log \left(\frac{\sinh ^{\frac{2}{3}}(a+b x)}{\cosh ^{\frac{2}{3}}(a+b x)}-\frac{\sqrt[3]{\sinh (a+b x)}}{\sqrt[3]{\cosh (a+b x)}}+1\right)}{4 b}+\frac{\log \left(\frac{\sinh ^{\frac{2}{3}}(a+b x)}{\cosh ^{\frac{2}{3}}(a+b x)}+\frac{\sqrt[3]{\sinh (a+b x)}}{\sqrt[3]{\cosh (a+b x)}}+1\right)}{4 b}+\frac{\sqrt{3} \tan ^{-1}\left(\frac{1-\frac{2 \sqrt[3]{\sinh (a+b x)}}{\sqrt[3]{\cosh (a+b x)}}}{\sqrt{3}}\right)}{2 b}-\frac{\sqrt{3} \tan ^{-1}\left(\frac{\frac{2 \sqrt[3]{\sinh (a+b x)}}{\sqrt[3]{\cosh (a+b x)}}+1}{\sqrt{3}}\right)}{2 b}+\frac{\tanh ^{-1}\left(\frac{\sqrt[3]{\sinh (a+b x)}}{\sqrt[3]{\cosh (a+b x)}}\right)}{b}","-\frac{3 \sqrt[3]{\cosh (a+b x)}}{b \sqrt[3]{\sinh (a+b x)}}-\frac{\log \left(\frac{\sinh ^{\frac{2}{3}}(a+b x)}{\cosh ^{\frac{2}{3}}(a+b x)}-\frac{\sqrt[3]{\sinh (a+b x)}}{\sqrt[3]{\cosh (a+b x)}}+1\right)}{4 b}+\frac{\log \left(\frac{\sinh ^{\frac{2}{3}}(a+b x)}{\cosh ^{\frac{2}{3}}(a+b x)}+\frac{\sqrt[3]{\sinh (a+b x)}}{\sqrt[3]{\cosh (a+b x)}}+1\right)}{4 b}+\frac{\sqrt{3} \tan ^{-1}\left(\frac{1-\frac{2 \sqrt[3]{\sinh (a+b x)}}{\sqrt[3]{\cosh (a+b x)}}}{\sqrt{3}}\right)}{2 b}-\frac{\sqrt{3} \tan ^{-1}\left(\frac{\frac{2 \sqrt[3]{\sinh (a+b x)}}{\sqrt[3]{\cosh (a+b x)}}+1}{\sqrt{3}}\right)}{2 b}+\frac{\tanh ^{-1}\left(\frac{\sqrt[3]{\sinh (a+b x)}}{\sqrt[3]{\cosh (a+b x)}}\right)}{b}",1,"(Sqrt[3]*ArcTan[(1 - (2*Sinh[a + b*x]^(1/3))/Cosh[a + b*x]^(1/3))/Sqrt[3]])/(2*b) - (Sqrt[3]*ArcTan[(1 + (2*Sinh[a + b*x]^(1/3))/Cosh[a + b*x]^(1/3))/Sqrt[3]])/(2*b) + ArcTanh[Sinh[a + b*x]^(1/3)/Cosh[a + b*x]^(1/3)]/b - Log[1 - Sinh[a + b*x]^(1/3)/Cosh[a + b*x]^(1/3) + Sinh[a + b*x]^(2/3)/Cosh[a + b*x]^(2/3)]/(4*b) + Log[1 + Sinh[a + b*x]^(1/3)/Cosh[a + b*x]^(1/3) + Sinh[a + b*x]^(2/3)/Cosh[a + b*x]^(2/3)]/(4*b) - (3*Cosh[a + b*x]^(1/3))/(b*Sinh[a + b*x]^(1/3))","A",12,8,21,0.3810,1,"{2567, 2574, 296, 634, 618, 204, 628, 206}"
65,1,155,0,0.1246117,"\int \frac{\cosh ^{\frac{5}{3}}(a+b x)}{\sinh ^{\frac{5}{3}}(a+b x)} \, dx","Int[Cosh[a + b*x]^(5/3)/Sinh[a + b*x]^(5/3),x]","-\frac{3 \cosh ^{\frac{2}{3}}(a+b x)}{2 b \sinh ^{\frac{2}{3}}(a+b x)}-\frac{\log \left(1-\frac{\sinh ^{\frac{2}{3}}(a+b x)}{\cosh ^{\frac{2}{3}}(a+b x)}\right)}{2 b}+\frac{\log \left(\frac{\sinh ^{\frac{4}{3}}(a+b x)}{\cosh ^{\frac{4}{3}}(a+b x)}+\frac{\sinh ^{\frac{2}{3}}(a+b x)}{\cosh ^{\frac{2}{3}}(a+b x)}+1\right)}{4 b}-\frac{\sqrt{3} \tan ^{-1}\left(\frac{\frac{2 \sinh ^{\frac{2}{3}}(a+b x)}{\cosh ^{\frac{2}{3}}(a+b x)}+1}{\sqrt{3}}\right)}{2 b}","-\frac{3 \cosh ^{\frac{2}{3}}(a+b x)}{2 b \sinh ^{\frac{2}{3}}(a+b x)}-\frac{\log \left(1-\frac{\sinh ^{\frac{2}{3}}(a+b x)}{\cosh ^{\frac{2}{3}}(a+b x)}\right)}{2 b}+\frac{\log \left(\frac{\sinh ^{\frac{4}{3}}(a+b x)}{\cosh ^{\frac{4}{3}}(a+b x)}+\frac{\sinh ^{\frac{2}{3}}(a+b x)}{\cosh ^{\frac{2}{3}}(a+b x)}+1\right)}{4 b}-\frac{\sqrt{3} \tan ^{-1}\left(\frac{\frac{2 \sinh ^{\frac{2}{3}}(a+b x)}{\cosh ^{\frac{2}{3}}(a+b x)}+1}{\sqrt{3}}\right)}{2 b}",1,"-(Sqrt[3]*ArcTan[(1 + (2*Sinh[a + b*x]^(2/3))/Cosh[a + b*x]^(2/3))/Sqrt[3]])/(2*b) - Log[1 - Sinh[a + b*x]^(2/3)/Cosh[a + b*x]^(2/3)]/(2*b) + Log[1 + Sinh[a + b*x]^(2/3)/Cosh[a + b*x]^(2/3) + Sinh[a + b*x]^(4/3)/Cosh[a + b*x]^(4/3)]/(4*b) - (3*Cosh[a + b*x]^(2/3))/(2*b*Sinh[a + b*x]^(2/3))","A",9,9,21,0.4286,1,"{2567, 2574, 275, 292, 31, 634, 618, 204, 628}"
66,1,155,0,0.120756,"\int \frac{\cosh ^{\frac{7}{3}}(a+b x)}{\sinh ^{\frac{7}{3}}(a+b x)} \, dx","Int[Cosh[a + b*x]^(7/3)/Sinh[a + b*x]^(7/3),x]","-\frac{3 \cosh ^{\frac{4}{3}}(a+b x)}{4 b \sinh ^{\frac{4}{3}}(a+b x)}-\frac{\log \left(1-\frac{\cosh ^{\frac{2}{3}}(a+b x)}{\sinh ^{\frac{2}{3}}(a+b x)}\right)}{2 b}+\frac{\log \left(\frac{\cosh ^{\frac{4}{3}}(a+b x)}{\sinh ^{\frac{4}{3}}(a+b x)}+\frac{\cosh ^{\frac{2}{3}}(a+b x)}{\sinh ^{\frac{2}{3}}(a+b x)}+1\right)}{4 b}-\frac{\sqrt{3} \tan ^{-1}\left(\frac{\frac{2 \cosh ^{\frac{2}{3}}(a+b x)}{\sinh ^{\frac{2}{3}}(a+b x)}+1}{\sqrt{3}}\right)}{2 b}","-\frac{3 \cosh ^{\frac{4}{3}}(a+b x)}{4 b \sinh ^{\frac{4}{3}}(a+b x)}-\frac{\log \left(1-\frac{\cosh ^{\frac{2}{3}}(a+b x)}{\sinh ^{\frac{2}{3}}(a+b x)}\right)}{2 b}+\frac{\log \left(\frac{\cosh ^{\frac{4}{3}}(a+b x)}{\sinh ^{\frac{4}{3}}(a+b x)}+\frac{\cosh ^{\frac{2}{3}}(a+b x)}{\sinh ^{\frac{2}{3}}(a+b x)}+1\right)}{4 b}-\frac{\sqrt{3} \tan ^{-1}\left(\frac{\frac{2 \cosh ^{\frac{2}{3}}(a+b x)}{\sinh ^{\frac{2}{3}}(a+b x)}+1}{\sqrt{3}}\right)}{2 b}",1,"-(Sqrt[3]*ArcTan[(1 + (2*Cosh[a + b*x]^(2/3))/Sinh[a + b*x]^(2/3))/Sqrt[3]])/(2*b) - Log[1 - Cosh[a + b*x]^(2/3)/Sinh[a + b*x]^(2/3)]/(2*b) + Log[1 + Cosh[a + b*x]^(4/3)/Sinh[a + b*x]^(4/3) + Cosh[a + b*x]^(2/3)/Sinh[a + b*x]^(2/3)]/(4*b) - (3*Cosh[a + b*x]^(4/3))/(4*b*Sinh[a + b*x]^(4/3))","A",9,9,21,0.4286,1,"{2567, 2575, 275, 292, 31, 634, 618, 204, 628}"
67,1,16,0,0.029653,"\int \frac{\cosh ^{\frac{2}{3}}(x)}{\sinh ^{\frac{8}{3}}(x)} \, dx","Int[Cosh[x]^(2/3)/Sinh[x]^(8/3),x]","-\frac{3 \cosh ^{\frac{5}{3}}(x)}{5 \sinh ^{\frac{5}{3}}(x)}","-\frac{3 \cosh ^{\frac{5}{3}}(x)}{5 \sinh ^{\frac{5}{3}}(x)}",1,"(-3*Cosh[x]^(5/3))/(5*Sinh[x]^(5/3))","A",1,1,13,0.07692,1,"{2563}"
68,1,16,0,0.0296269,"\int \frac{\sinh ^{\frac{2}{3}}(x)}{\cosh ^{\frac{8}{3}}(x)} \, dx","Int[Sinh[x]^(2/3)/Cosh[x]^(8/3),x]","\frac{3 \sinh ^{\frac{5}{3}}(x)}{5 \cosh ^{\frac{5}{3}}(x)}","\frac{3 \sinh ^{\frac{5}{3}}(x)}{5 \cosh ^{\frac{5}{3}}(x)}",1,"(3*Sinh[x]^(5/3))/(5*Cosh[x]^(5/3))","A",1,1,13,0.07692,1,"{2563}"
69,1,10,0,0.0259891,"\int \cosh (x) \text{csch}^{\frac{7}{3}}(x) \, dx","Int[Cosh[x]*Csch[x]^(7/3),x]","-\frac{3}{4} \text{csch}^{\frac{4}{3}}(x)","-\frac{3}{4} \text{csch}^{\frac{4}{3}}(x)",1,"(-3*Csch[x]^(4/3))/4","A",2,2,9,0.2222,1,"{2621, 30}"
70,1,23,0,0.0167702,"\int \sinh (a+b x) \tanh (a+b x) \, dx","Int[Sinh[a + b*x]*Tanh[a + b*x],x]","\frac{\sinh (a+b x)}{b}-\frac{\tan ^{-1}(\sinh (a+b x))}{b}","\frac{\sinh (a+b x)}{b}-\frac{\tan ^{-1}(\sinh (a+b x))}{b}",1,"-(ArcTan[Sinh[a + b*x]]/b) + Sinh[a + b*x]/b","A",3,3,13,0.2308,1,"{2592, 321, 203}"
71,1,21,0,0.0264534,"\int \sinh (a+b x) \tanh ^2(a+b x) \, dx","Int[Sinh[a + b*x]*Tanh[a + b*x]^2,x]","\frac{\cosh (a+b x)}{b}+\frac{\text{sech}(a+b x)}{b}","\frac{\cosh (a+b x)}{b}+\frac{\text{sech}(a+b x)}{b}",1,"Cosh[a + b*x]/b + Sech[a + b*x]/b","A",3,2,15,0.1333,1,"{2590, 14}"
72,1,49,0,0.0297894,"\int \sinh (a+b x) \tanh ^3(a+b x) \, dx","Int[Sinh[a + b*x]*Tanh[a + b*x]^3,x]","\frac{3 \sinh (a+b x)}{2 b}-\frac{3 \tan ^{-1}(\sinh (a+b x))}{2 b}-\frac{\sinh (a+b x) \tanh ^2(a+b x)}{2 b}","\frac{3 \sinh (a+b x)}{2 b}-\frac{3 \tan ^{-1}(\sinh (a+b x))}{2 b}-\frac{\sinh (a+b x) \tanh ^2(a+b x)}{2 b}",1,"(-3*ArcTan[Sinh[a + b*x]])/(2*b) + (3*Sinh[a + b*x])/(2*b) - (Sinh[a + b*x]*Tanh[a + b*x]^2)/(2*b)","A",4,4,15,0.2667,1,"{2592, 288, 321, 203}"
73,1,37,0,0.0329711,"\int \sinh (a+b x) \tanh ^4(a+b x) \, dx","Int[Sinh[a + b*x]*Tanh[a + b*x]^4,x]","\frac{\cosh (a+b x)}{b}-\frac{\text{sech}^3(a+b x)}{3 b}+\frac{2 \text{sech}(a+b x)}{b}","\frac{\cosh (a+b x)}{b}-\frac{\text{sech}^3(a+b x)}{3 b}+\frac{2 \text{sech}(a+b x)}{b}",1,"Cosh[a + b*x]/b + (2*Sech[a + b*x])/b - Sech[a + b*x]^3/(3*b)","A",3,2,15,0.1333,1,"{2590, 270}"
74,1,28,0,0.0250738,"\int \sinh ^2(a+b x) \tanh (a+b x) \, dx","Int[Sinh[a + b*x]^2*Tanh[a + b*x],x]","\frac{\cosh ^2(a+b x)}{2 b}-\frac{\log (\cosh (a+b x))}{b}","\frac{\cosh ^2(a+b x)}{2 b}-\frac{\log (\cosh (a+b x))}{b}",1,"Cosh[a + b*x]^2/(2*b) - Log[Cosh[a + b*x]]/b","A",3,2,15,0.1333,1,"{2590, 14}"
75,1,40,0,0.0397953,"\int \sinh ^2(a+b x) \tanh ^2(a+b x) \, dx","Int[Sinh[a + b*x]^2*Tanh[a + b*x]^2,x]","\frac{3 \tanh (a+b x)}{2 b}+\frac{\sinh ^2(a+b x) \tanh (a+b x)}{2 b}-\frac{3 x}{2}","\frac{3 \tanh (a+b x)}{2 b}+\frac{\sinh ^2(a+b x) \tanh (a+b x)}{2 b}-\frac{3 x}{2}",1,"(-3*x)/2 + (3*Tanh[a + b*x])/(2*b) + (Sinh[a + b*x]^2*Tanh[a + b*x])/(2*b)","A",4,4,17,0.2353,1,"{2591, 288, 321, 206}"
76,1,43,0,0.043562,"\int \sinh ^2(a+b x) \tanh ^3(a+b x) \, dx","Int[Sinh[a + b*x]^2*Tanh[a + b*x]^3,x]","\frac{\cosh ^2(a+b x)}{2 b}-\frac{\text{sech}^2(a+b x)}{2 b}-\frac{2 \log (\cosh (a+b x))}{b}","\frac{\cosh ^2(a+b x)}{2 b}-\frac{\text{sech}^2(a+b x)}{2 b}-\frac{2 \log (\cosh (a+b x))}{b}",1,"Cosh[a + b*x]^2/(2*b) - (2*Log[Cosh[a + b*x]])/b - Sech[a + b*x]^2/(2*b)","A",4,3,17,0.1765,1,"{2590, 266, 43}"
77,1,38,0,0.0264162,"\int \sinh ^3(a+b x) \tanh (a+b x) \, dx","Int[Sinh[a + b*x]^3*Tanh[a + b*x],x]","\frac{\sinh ^3(a+b x)}{3 b}-\frac{\sinh (a+b x)}{b}+\frac{\tan ^{-1}(\sinh (a+b x))}{b}","\frac{\sinh ^3(a+b x)}{3 b}-\frac{\sinh (a+b x)}{b}+\frac{\tan ^{-1}(\sinh (a+b x))}{b}",1,"ArcTan[Sinh[a + b*x]]/b - Sinh[a + b*x]/b + Sinh[a + b*x]^3/(3*b)","A",4,3,15,0.2000,1,"{2592, 302, 203}"
78,1,38,0,0.040545,"\int \sinh ^3(a+b x) \tanh ^2(a+b x) \, dx","Int[Sinh[a + b*x]^3*Tanh[a + b*x]^2,x]","\frac{\cosh ^3(a+b x)}{3 b}-\frac{2 \cosh (a+b x)}{b}-\frac{\text{sech}(a+b x)}{b}","\frac{\cosh ^3(a+b x)}{3 b}-\frac{2 \cosh (a+b x)}{b}-\frac{\text{sech}(a+b x)}{b}",1,"(-2*Cosh[a + b*x])/b + Cosh[a + b*x]^3/(3*b) - Sech[a + b*x]/b","A",3,2,17,0.1176,1,"{2590, 270}"
79,1,66,0,0.0424965,"\int \sinh ^3(a+b x) \tanh ^3(a+b x) \, dx","Int[Sinh[a + b*x]^3*Tanh[a + b*x]^3,x]","\frac{5 \sinh ^3(a+b x)}{6 b}-\frac{5 \sinh (a+b x)}{2 b}-\frac{\sinh ^3(a+b x) \tanh ^2(a+b x)}{2 b}+\frac{5 \tan ^{-1}(\sinh (a+b x))}{2 b}","\frac{5 \sinh ^3(a+b x)}{6 b}-\frac{5 \sinh (a+b x)}{2 b}-\frac{\sinh ^3(a+b x) \tanh ^2(a+b x)}{2 b}+\frac{5 \tan ^{-1}(\sinh (a+b x))}{2 b}",1,"(5*ArcTan[Sinh[a + b*x]])/(2*b) - (5*Sinh[a + b*x])/(2*b) + (5*Sinh[a + b*x]^3)/(6*b) - (Sinh[a + b*x]^3*Tanh[a + b*x]^2)/(2*b)","A",5,4,17,0.2353,1,"{2592, 288, 302, 203}"
80,1,40,0,0.0321603,"\int \sinh ^4(a+b x) \tanh (a+b x) \, dx","Int[Sinh[a + b*x]^4*Tanh[a + b*x],x]","\frac{\cosh ^4(a+b x)}{4 b}-\frac{\cosh ^2(a+b x)}{b}+\frac{\log (\cosh (a+b x))}{b}","\frac{\cosh ^4(a+b x)}{4 b}-\frac{\cosh ^2(a+b x)}{b}+\frac{\log (\cosh (a+b x))}{b}",1,"-(Cosh[a + b*x]^2/b) + Cosh[a + b*x]^4/(4*b) + Log[Cosh[a + b*x]]/b","A",4,3,15,0.2000,1,"{2590, 266, 43}"
81,1,11,0,0.0130824,"\int \text{sech}(a+b x) \tanh (a+b x) \, dx","Int[Sech[a + b*x]*Tanh[a + b*x],x]","-\frac{\text{sech}(a+b x)}{b}","-\frac{\text{sech}(a+b x)}{b}",1,"-(Sech[a + b*x]/b)","A",2,2,13,0.1538,1,"{2606, 8}"
82,1,15,0,0.0203543,"\int \text{sech}^2(a+b x) \tanh (a+b x) \, dx","Int[Sech[a + b*x]^2*Tanh[a + b*x],x]","-\frac{\text{sech}^2(a+b x)}{2 b}","-\frac{\text{sech}^2(a+b x)}{2 b}",1,"-Sech[a + b*x]^2/(2*b)","A",2,2,15,0.1333,1,"{2606, 30}"
83,1,16,0,0.0298977,"\int \text{sech}^{1+n}(a+b x) \sinh (a+b x) \, dx","Int[Sech[a + b*x]^(1 + n)*Sinh[a + b*x],x]","-\frac{\text{sech}^n(a+b x)}{b n}","-\frac{\text{sech}^n(a+b x)}{b n}",1,"-(Sech[a + b*x]^n/(b*n))","A",2,2,17,0.1176,1,"{2622, 30}"
84,1,15,0,0.0289947,"\int \text{sech}^2(a+b x) \tanh ^2(a+b x) \, dx","Int[Sech[a + b*x]^2*Tanh[a + b*x]^2,x]","\frac{\tanh ^3(a+b x)}{3 b}","\frac{\tanh ^3(a+b x)}{3 b}",1,"Tanh[a + b*x]^3/(3*b)","A",2,2,17,0.1176,1,"{2607, 30}"
85,1,15,0,0.0300007,"\int \text{sech}^2(a+b x) \tanh ^3(a+b x) \, dx","Int[Sech[a + b*x]^2*Tanh[a + b*x]^3,x]","\frac{\tanh ^4(a+b x)}{4 b}","\frac{\tanh ^4(a+b x)}{4 b}",1,"Tanh[a + b*x]^4/(4*b)","A",2,2,17,0.1176,1,"{2607, 30}"
86,1,19,0,0.0351163,"\int \text{sech}^2(a+b x) \tanh ^n(a+b x) \, dx","Int[Sech[a + b*x]^2*Tanh[a + b*x]^n,x]","\frac{\tanh ^{n+1}(a+b x)}{b (n+1)}","\frac{\tanh ^{n+1}(a+b x)}{b (n+1)}",1,"Tanh[a + b*x]^(1 + n)/(b*(1 + n))","A",2,2,17,0.1176,1,"{2607, 32}"
87,1,27,0,0.0244432,"\int \text{sech}(a+b x) \tanh ^3(a+b x) \, dx","Int[Sech[a + b*x]*Tanh[a + b*x]^3,x]","\frac{\text{sech}^3(a+b x)}{3 b}-\frac{\text{sech}(a+b x)}{b}","\frac{\text{sech}^3(a+b x)}{3 b}-\frac{\text{sech}(a+b x)}{b}",1,"-(Sech[a + b*x]/b) + Sech[a + b*x]^3/(3*b)","A",2,1,15,0.06667,1,"{2606}"
88,1,31,0,0.0354046,"\int \text{sech}^3(a+b x) \tanh ^3(a+b x) \, dx","Int[Sech[a + b*x]^3*Tanh[a + b*x]^3,x]","\frac{\text{sech}^5(a+b x)}{5 b}-\frac{\text{sech}^3(a+b x)}{3 b}","\frac{\text{sech}^5(a+b x)}{5 b}-\frac{\text{sech}^3(a+b x)}{3 b}",1,"-Sech[a + b*x]^3/(3*b) + Sech[a + b*x]^5/(5*b)","A",3,2,17,0.1176,1,"{2606, 14}"
89,1,36,0,0.0485654,"\int \text{sech}^{3+n}(a+b x) \sinh ^3(a+b x) \, dx","Int[Sech[a + b*x]^(3 + n)*Sinh[a + b*x]^3,x]","\frac{\text{sech}^{n+2}(a+b x)}{b (n+2)}-\frac{\text{sech}^n(a+b x)}{b n}","\frac{\text{sech}^{n+2}(a+b x)}{b (n+2)}-\frac{\text{sech}^n(a+b x)}{b n}",1,"-(Sech[a + b*x]^n/(b*n)) + Sech[a + b*x]^(2 + n)/(b*(2 + n))","A",3,2,19,0.1053,1,"{2622, 14}"
90,1,31,0,0.032713,"\int \text{sech}^4(a+b x) \tanh ^2(a+b x) \, dx","Int[Sech[a + b*x]^4*Tanh[a + b*x]^2,x]","\frac{\tanh ^3(a+b x)}{3 b}-\frac{\tanh ^5(a+b x)}{5 b}","\frac{\tanh ^3(a+b x)}{3 b}-\frac{\tanh ^5(a+b x)}{5 b}",1,"Tanh[a + b*x]^3/(3*b) - Tanh[a + b*x]^5/(5*b)","A",3,2,17,0.1176,1,"{2607, 14}"
91,1,35,0,0.0366913,"\int \text{sech}^4(a+b x) \sqrt{\tanh (a+b x)} \, dx","Int[Sech[a + b*x]^4*Sqrt[Tanh[a + b*x]],x]","\frac{2 \tanh ^{\frac{3}{2}}(a+b x)}{3 b}-\frac{2 \tanh ^{\frac{7}{2}}(a+b x)}{7 b}","\frac{2 \tanh ^{\frac{3}{2}}(a+b x)}{3 b}-\frac{2 \tanh ^{\frac{7}{2}}(a+b x)}{7 b}",1,"(2*Tanh[a + b*x]^(3/2))/(3*b) - (2*Tanh[a + b*x]^(7/2))/(7*b)","A",3,2,19,0.1053,1,"{2607, 14}"
92,1,40,0,0.0442714,"\int \text{sech}^4(a+b x) \tanh ^n(a+b x) \, dx","Int[Sech[a + b*x]^4*Tanh[a + b*x]^n,x]","\frac{\tanh ^{n+1}(a+b x)}{b (n+1)}-\frac{\tanh ^{n+3}(a+b x)}{b (n+3)}","\frac{\tanh ^{n+1}(a+b x)}{b (n+1)}-\frac{\tanh ^{n+3}(a+b x)}{b (n+3)}",1,"Tanh[a + b*x]^(1 + n)/(b*(1 + n)) - Tanh[a + b*x]^(3 + n)/(b*(3 + n))","A",3,2,17,0.1176,1,"{2607, 14}"
93,1,34,0,0.0237503,"\int \text{sech}(a+b x) \tanh ^2(a+b x) \, dx","Int[Sech[a + b*x]*Tanh[a + b*x]^2,x]","\frac{\tan ^{-1}(\sinh (a+b x))}{2 b}-\frac{\tanh (a+b x) \text{sech}(a+b x)}{2 b}","\frac{\tan ^{-1}(\sinh (a+b x))}{2 b}-\frac{\tanh (a+b x) \text{sech}(a+b x)}{2 b}",1,"ArcTan[Sinh[a + b*x]]/(2*b) - (Sech[a + b*x]*Tanh[a + b*x])/(2*b)","A",2,2,15,0.1333,1,"{2611, 3770}"
94,1,55,0,0.044051,"\int \text{sech}(a+b x) \tanh ^4(a+b x) \, dx","Int[Sech[a + b*x]*Tanh[a + b*x]^4,x]","\frac{3 \tan ^{-1}(\sinh (a+b x))}{8 b}-\frac{\tanh ^3(a+b x) \text{sech}(a+b x)}{4 b}-\frac{3 \tanh (a+b x) \text{sech}(a+b x)}{8 b}","\frac{3 \tan ^{-1}(\sinh (a+b x))}{8 b}-\frac{\tanh ^3(a+b x) \text{sech}(a+b x)}{4 b}-\frac{3 \tanh (a+b x) \text{sech}(a+b x)}{8 b}",1,"(3*ArcTan[Sinh[a + b*x]])/(8*b) - (3*Sech[a + b*x]*Tanh[a + b*x])/(8*b) - (Sech[a + b*x]*Tanh[a + b*x]^3)/(4*b)","A",3,2,15,0.1333,1,"{2611, 3770}"
95,1,55,0,0.0451404,"\int \text{sech}^3(a+b x) \tanh ^2(a+b x) \, dx","Int[Sech[a + b*x]^3*Tanh[a + b*x]^2,x]","\frac{\tan ^{-1}(\sinh (a+b x))}{8 b}-\frac{\tanh (a+b x) \text{sech}^3(a+b x)}{4 b}+\frac{\tanh (a+b x) \text{sech}(a+b x)}{8 b}","\frac{\tan ^{-1}(\sinh (a+b x))}{8 b}-\frac{\tanh (a+b x) \text{sech}^3(a+b x)}{4 b}+\frac{\tanh (a+b x) \text{sech}(a+b x)}{8 b}",1,"ArcTan[Sinh[a + b*x]]/(8*b) + (Sech[a + b*x]*Tanh[a + b*x])/(8*b) - (Sech[a + b*x]^3*Tanh[a + b*x])/(4*b)","A",3,3,17,0.1765,1,"{2611, 3768, 3770}"
96,1,21,0,0.0186715,"\int \text{sech}(x) \tanh ^5(x) \, dx","Int[Sech[x]*Tanh[x]^5,x]","-\frac{1}{5} \text{sech}^5(x)+\frac{2 \text{sech}^3(x)}{3}-\text{sech}(x)","-\frac{1}{5} \text{sech}^5(x)+\frac{2 \text{sech}^3(x)}{3}-\text{sech}(x)",1,"-Sech[x] + (2*Sech[x]^3)/3 - Sech[x]^5/5","A",3,2,7,0.2857,1,"{2606, 194}"
97,1,25,0,0.0286869,"\int \text{sech}^7(x) \tanh ^5(x) \, dx","Int[Sech[x]^7*Tanh[x]^5,x]","-\frac{1}{11} \text{sech}^{11}(x)+\frac{2 \text{sech}^9(x)}{9}-\frac{\text{sech}^7(x)}{7}","-\frac{1}{11} \text{sech}^{11}(x)+\frac{2 \text{sech}^9(x)}{9}-\frac{\text{sech}^7(x)}{7}",1,"-Sech[x]^7/7 + (2*Sech[x]^9)/9 - Sech[x]^11/11","A",3,2,9,0.2222,1,"{2606, 270}"
98,1,38,0,0.053362,"\int \text{sech}^3(x) \tanh ^4(x) \, dx","Int[Sech[x]^3*Tanh[x]^4,x]","\frac{1}{16} \tan ^{-1}(\sinh (x))-\frac{1}{6} \tanh ^3(x) \text{sech}^3(x)-\frac{1}{8} \tanh (x) \text{sech}^3(x)+\frac{1}{16} \tanh (x) \text{sech}(x)","\frac{1}{16} \tan ^{-1}(\sinh (x))-\frac{1}{6} \tanh ^3(x) \text{sech}^3(x)-\frac{1}{8} \tanh (x) \text{sech}^3(x)+\frac{1}{16} \tanh (x) \text{sech}(x)",1,"ArcTan[Sinh[x]]/16 + (Sech[x]*Tanh[x])/16 - (Sech[x]^3*Tanh[x])/8 - (Sech[x]^3*Tanh[x]^3)/6","A",4,3,9,0.3333,1,"{2611, 3768, 3770}"
99,1,36,0,0.0370977,"\int \text{sech}^5(x) \tanh ^2(x) \, dx","Int[Sech[x]^5*Tanh[x]^2,x]","\frac{1}{16} \tan ^{-1}(\sinh (x))-\frac{1}{6} \tanh (x) \text{sech}^5(x)+\frac{1}{24} \tanh (x) \text{sech}^3(x)+\frac{1}{16} \tanh (x) \text{sech}(x)","\frac{1}{16} \tan ^{-1}(\sinh (x))-\frac{1}{6} \tanh (x) \text{sech}^5(x)+\frac{1}{24} \tanh (x) \text{sech}^3(x)+\frac{1}{16} \tanh (x) \text{sech}(x)",1,"ArcTan[Sinh[x]]/16 + (Sech[x]*Tanh[x])/16 + (Sech[x]^3*Tanh[x])/24 - (Sech[x]^5*Tanh[x])/6","A",4,3,9,0.3333,1,"{2611, 3768, 3770}"
100,1,33,0,0.0303592,"\int \text{sech}^8(x) \tanh ^6(x) \, dx","Int[Sech[x]^8*Tanh[x]^6,x]","-\frac{1}{13} \tanh ^{13}(x)+\frac{3 \tanh ^{11}(x)}{11}-\frac{\tanh ^9(x)}{3}+\frac{\tanh ^7(x)}{7}","-\frac{1}{13} \tanh ^{13}(x)+\frac{3 \tanh ^{11}(x)}{11}-\frac{\tanh ^9(x)}{3}+\frac{\tanh ^7(x)}{7}",1,"Tanh[x]^7/7 - Tanh[x]^9/3 + (3*Tanh[x]^11)/11 - Tanh[x]^13/13","A",3,2,9,0.2222,1,"{2607, 270}"
101,1,23,0,0.0180681,"\int \cosh (a+b x) \coth (a+b x) \, dx","Int[Cosh[a + b*x]*Coth[a + b*x],x]","\frac{\cosh (a+b x)}{b}-\frac{\tanh ^{-1}(\cosh (a+b x))}{b}","\frac{\cosh (a+b x)}{b}-\frac{\tanh ^{-1}(\cosh (a+b x))}{b}",1,"-(ArcTanh[Cosh[a + b*x]]/b) + Cosh[a + b*x]/b","A",3,3,13,0.2308,1,"{2592, 321, 206}"
102,1,22,0,0.0216343,"\int \cosh (a+b x) \coth ^2(a+b x) \, dx","Int[Cosh[a + b*x]*Coth[a + b*x]^2,x]","\frac{\sinh (a+b x)}{b}-\frac{\text{csch}(a+b x)}{b}","\frac{\sinh (a+b x)}{b}-\frac{\text{csch}(a+b x)}{b}",1,"-(Csch[a + b*x]/b) + Sinh[a + b*x]/b","A",3,2,15,0.1333,1,"{2590, 14}"
103,1,49,0,0.0359131,"\int \cosh (a+b x) \coth ^3(a+b x) \, dx","Int[Cosh[a + b*x]*Coth[a + b*x]^3,x]","\frac{3 \cosh (a+b x)}{2 b}-\frac{3 \tanh ^{-1}(\cosh (a+b x))}{2 b}-\frac{\cosh (a+b x) \coth ^2(a+b x)}{2 b}","\frac{3 \cosh (a+b x)}{2 b}-\frac{3 \tanh ^{-1}(\cosh (a+b x))}{2 b}-\frac{\cosh (a+b x) \coth ^2(a+b x)}{2 b}",1,"(-3*ArcTanh[Cosh[a + b*x]])/(2*b) + (3*Cosh[a + b*x])/(2*b) - (Cosh[a + b*x]*Coth[a + b*x]^2)/(2*b)","A",4,4,15,0.2667,1,"{2592, 288, 321, 206}"
104,1,37,0,0.0250251,"\int \cosh (a+b x) \coth ^4(a+b x) \, dx","Int[Cosh[a + b*x]*Coth[a + b*x]^4,x]","\frac{\sinh (a+b x)}{b}-\frac{\text{csch}^3(a+b x)}{3 b}-\frac{2 \text{csch}(a+b x)}{b}","\frac{\sinh (a+b x)}{b}-\frac{\text{csch}^3(a+b x)}{3 b}-\frac{2 \text{csch}(a+b x)}{b}",1,"(-2*Csch[a + b*x])/b - Csch[a + b*x]^3/(3*b) + Sinh[a + b*x]/b","A",3,2,15,0.1333,1,"{2590, 270}"
105,1,27,0,0.0236637,"\int \cosh ^2(a+b x) \coth (a+b x) \, dx","Int[Cosh[a + b*x]^2*Coth[a + b*x],x]","\frac{\sinh ^2(a+b x)}{2 b}+\frac{\log (\sinh (a+b x))}{b}","\frac{\sinh ^2(a+b x)}{2 b}+\frac{\log (\sinh (a+b x))}{b}",1,"Log[Sinh[a + b*x]]/b + Sinh[a + b*x]^2/(2*b)","A",3,2,15,0.1333,1,"{2590, 14}"
106,1,40,0,0.0411313,"\int \cosh ^2(a+b x) \coth ^2(a+b x) \, dx","Int[Cosh[a + b*x]^2*Coth[a + b*x]^2,x]","-\frac{3 \coth (a+b x)}{2 b}+\frac{\cosh ^2(a+b x) \coth (a+b x)}{2 b}+\frac{3 x}{2}","-\frac{3 \coth (a+b x)}{2 b}+\frac{\cosh ^2(a+b x) \coth (a+b x)}{2 b}+\frac{3 x}{2}",1,"(3*x)/2 - (3*Coth[a + b*x])/(2*b) + (Cosh[a + b*x]^2*Coth[a + b*x])/(2*b)","A",4,4,17,0.2353,1,"{2591, 288, 321, 206}"
107,1,43,0,0.0420806,"\int \cosh ^2(a+b x) \coth ^3(a+b x) \, dx","Int[Cosh[a + b*x]^2*Coth[a + b*x]^3,x]","\frac{\sinh ^2(a+b x)}{2 b}-\frac{\text{csch}^2(a+b x)}{2 b}+\frac{2 \log (\sinh (a+b x))}{b}","\frac{\sinh ^2(a+b x)}{2 b}-\frac{\text{csch}^2(a+b x)}{2 b}+\frac{2 \log (\sinh (a+b x))}{b}",1,"-Csch[a + b*x]^2/(2*b) + (2*Log[Sinh[a + b*x]])/b + Sinh[a + b*x]^2/(2*b)","A",4,3,17,0.1765,1,"{2590, 266, 43}"
108,1,38,0,0.0300179,"\int \cosh ^3(a+b x) \coth (a+b x) \, dx","Int[Cosh[a + b*x]^3*Coth[a + b*x],x]","\frac{\cosh ^3(a+b x)}{3 b}+\frac{\cosh (a+b x)}{b}-\frac{\tanh ^{-1}(\cosh (a+b x))}{b}","\frac{\cosh ^3(a+b x)}{3 b}+\frac{\cosh (a+b x)}{b}-\frac{\tanh ^{-1}(\cosh (a+b x))}{b}",1,"-(ArcTanh[Cosh[a + b*x]]/b) + Cosh[a + b*x]/b + Cosh[a + b*x]^3/(3*b)","A",4,3,15,0.2000,1,"{2592, 302, 206}"
109,1,38,0,0.0353186,"\int \cosh ^3(a+b x) \coth ^2(a+b x) \, dx","Int[Cosh[a + b*x]^3*Coth[a + b*x]^2,x]","\frac{\sinh ^3(a+b x)}{3 b}+\frac{2 \sinh (a+b x)}{b}-\frac{\text{csch}(a+b x)}{b}","\frac{\sinh ^3(a+b x)}{3 b}+\frac{2 \sinh (a+b x)}{b}-\frac{\text{csch}(a+b x)}{b}",1,"-(Csch[a + b*x]/b) + (2*Sinh[a + b*x])/b + Sinh[a + b*x]^3/(3*b)","A",3,2,17,0.1176,1,"{2590, 270}"
110,1,66,0,0.0482733,"\int \cosh ^3(a+b x) \coth ^3(a+b x) \, dx","Int[Cosh[a + b*x]^3*Coth[a + b*x]^3,x]","\frac{5 \cosh ^3(a+b x)}{6 b}+\frac{5 \cosh (a+b x)}{2 b}-\frac{\cosh ^3(a+b x) \coth ^2(a+b x)}{2 b}-\frac{5 \tanh ^{-1}(\cosh (a+b x))}{2 b}","\frac{5 \cosh ^3(a+b x)}{6 b}+\frac{5 \cosh (a+b x)}{2 b}-\frac{\cosh ^3(a+b x) \coth ^2(a+b x)}{2 b}-\frac{5 \tanh ^{-1}(\cosh (a+b x))}{2 b}",1,"(-5*ArcTanh[Cosh[a + b*x]])/(2*b) + (5*Cosh[a + b*x])/(2*b) + (5*Cosh[a + b*x]^3)/(6*b) - (Cosh[a + b*x]^3*Coth[a + b*x]^2)/(2*b)","A",5,4,17,0.2353,1,"{2592, 288, 302, 206}"
111,1,39,0,0.0308386,"\int \cosh ^4(a+b x) \coth (a+b x) \, dx","Int[Cosh[a + b*x]^4*Coth[a + b*x],x]","\frac{\sinh ^4(a+b x)}{4 b}+\frac{\sinh ^2(a+b x)}{b}+\frac{\log (\sinh (a+b x))}{b}","\frac{\sinh ^4(a+b x)}{4 b}+\frac{\sinh ^2(a+b x)}{b}+\frac{\log (\sinh (a+b x))}{b}",1,"Log[Sinh[a + b*x]]/b + Sinh[a + b*x]^2/b + Sinh[a + b*x]^4/(4*b)","A",4,3,15,0.2000,1,"{2590, 266, 43}"
112,1,11,0,0.0107484,"\int \coth (a+b x) \text{csch}(a+b x) \, dx","Int[Coth[a + b*x]*Csch[a + b*x],x]","-\frac{\text{csch}(a+b x)}{b}","-\frac{\text{csch}(a+b x)}{b}",1,"-(Csch[a + b*x]/b)","A",2,2,13,0.1538,1,"{2606, 8}"
113,1,15,0,0.0200289,"\int \coth (a+b x) \text{csch}^2(a+b x) \, dx","Int[Coth[a + b*x]*Csch[a + b*x]^2,x]","-\frac{\text{csch}^2(a+b x)}{2 b}","-\frac{\text{csch}^2(a+b x)}{2 b}",1,"-Csch[a + b*x]^2/(2*b)","A",2,2,15,0.1333,1,"{2606, 30}"
114,1,16,0,0.0279535,"\int \cosh (a+b x) \text{csch}^{1+n}(a+b x) \, dx","Int[Cosh[a + b*x]*Csch[a + b*x]^(1 + n),x]","-\frac{\text{csch}^n(a+b x)}{b n}","-\frac{\text{csch}^n(a+b x)}{b n}",1,"-(Csch[a + b*x]^n/(b*n))","A",2,2,17,0.1176,1,"{2621, 30}"
115,1,15,0,0.0274867,"\int \coth ^2(a+b x) \text{csch}^2(a+b x) \, dx","Int[Coth[a + b*x]^2*Csch[a + b*x]^2,x]","-\frac{\coth ^3(a+b x)}{3 b}","-\frac{\coth ^3(a+b x)}{3 b}",1,"-Coth[a + b*x]^3/(3*b)","A",2,2,17,0.1176,1,"{2607, 30}"
116,1,15,0,0.0290491,"\int \coth ^3(a+b x) \text{csch}^2(a+b x) \, dx","Int[Coth[a + b*x]^3*Csch[a + b*x]^2,x]","-\frac{\coth ^4(a+b x)}{4 b}","-\frac{\coth ^4(a+b x)}{4 b}",1,"-Coth[a + b*x]^4/(4*b)","A",2,2,17,0.1176,1,"{2607, 30}"
117,1,20,0,0.033743,"\int \coth ^n(a+b x) \text{csch}^2(a+b x) \, dx","Int[Coth[a + b*x]^n*Csch[a + b*x]^2,x]","-\frac{\coth ^{n+1}(a+b x)}{b (n+1)}","-\frac{\coth ^{n+1}(a+b x)}{b (n+1)}",1,"-(Coth[a + b*x]^(1 + n)/(b*(1 + n)))","A",2,2,17,0.1176,1,"{2607, 32}"
118,1,27,0,0.0206844,"\int \coth ^3(a+b x) \text{csch}(a+b x) \, dx","Int[Coth[a + b*x]^3*Csch[a + b*x],x]","-\frac{\text{csch}^3(a+b x)}{3 b}-\frac{\text{csch}(a+b x)}{b}","-\frac{\text{csch}^3(a+b x)}{3 b}-\frac{\text{csch}(a+b x)}{b}",1,"-(Csch[a + b*x]/b) - Csch[a + b*x]^3/(3*b)","A",2,1,15,0.06667,1,"{2606}"
119,1,31,0,0.0318708,"\int \coth ^3(a+b x) \text{csch}^3(a+b x) \, dx","Int[Coth[a + b*x]^3*Csch[a + b*x]^3,x]","-\frac{\text{csch}^5(a+b x)}{5 b}-\frac{\text{csch}^3(a+b x)}{3 b}","-\frac{\text{csch}^5(a+b x)}{5 b}-\frac{\text{csch}^3(a+b x)}{3 b}",1,"-Csch[a + b*x]^3/(3*b) - Csch[a + b*x]^5/(5*b)","A",3,2,17,0.1176,1,"{2606, 14}"
120,1,37,0,0.0421384,"\int \cosh ^3(a+b x) \text{csch}^{3+n}(a+b x) \, dx","Int[Cosh[a + b*x]^3*Csch[a + b*x]^(3 + n),x]","-\frac{\text{csch}^n(a+b x)}{b n}-\frac{\text{csch}^{n+2}(a+b x)}{b (n+2)}","-\frac{\text{csch}^n(a+b x)}{b n}-\frac{\text{csch}^{n+2}(a+b x)}{b (n+2)}",1,"-(Csch[a + b*x]^n/(b*n)) - Csch[a + b*x]^(2 + n)/(b*(2 + n))","A",3,2,19,0.1053,1,"{2621, 14}"
121,1,34,0,0.0301996,"\int \coth ^2(a+b x) \text{csch}(a+b x) \, dx","Int[Coth[a + b*x]^2*Csch[a + b*x],x]","-\frac{\tanh ^{-1}(\cosh (a+b x))}{2 b}-\frac{\coth (a+b x) \text{csch}(a+b x)}{2 b}","-\frac{\tanh ^{-1}(\cosh (a+b x))}{2 b}-\frac{\coth (a+b x) \text{csch}(a+b x)}{2 b}",1,"-ArcTanh[Cosh[a + b*x]]/(2*b) - (Coth[a + b*x]*Csch[a + b*x])/(2*b)","A",2,2,15,0.1333,1,"{2611, 3770}"
122,1,55,0,0.0596215,"\int \coth ^2(a+b x) \text{csch}^3(a+b x) \, dx","Int[Coth[a + b*x]^2*Csch[a + b*x]^3,x]","\frac{\tanh ^{-1}(\cosh (a+b x))}{8 b}-\frac{\coth (a+b x) \text{csch}^3(a+b x)}{4 b}-\frac{\coth (a+b x) \text{csch}(a+b x)}{8 b}","\frac{\tanh ^{-1}(\cosh (a+b x))}{8 b}-\frac{\coth (a+b x) \text{csch}^3(a+b x)}{4 b}-\frac{\coth (a+b x) \text{csch}(a+b x)}{8 b}",1,"ArcTanh[Cosh[a + b*x]]/(8*b) - (Coth[a + b*x]*Csch[a + b*x])/(8*b) - (Coth[a + b*x]*Csch[a + b*x]^3)/(4*b)","A",3,3,17,0.1765,1,"{2611, 3768, 3770}"
123,1,55,0,0.0570593,"\int \coth ^4(a+b x) \text{csch}(a+b x) \, dx","Int[Coth[a + b*x]^4*Csch[a + b*x],x]","-\frac{3 \tanh ^{-1}(\cosh (a+b x))}{8 b}-\frac{\coth ^3(a+b x) \text{csch}(a+b x)}{4 b}-\frac{3 \coth (a+b x) \text{csch}(a+b x)}{8 b}","-\frac{3 \tanh ^{-1}(\cosh (a+b x))}{8 b}-\frac{\coth ^3(a+b x) \text{csch}(a+b x)}{4 b}-\frac{3 \coth (a+b x) \text{csch}(a+b x)}{8 b}",1,"(-3*ArcTanh[Cosh[a + b*x]])/(8*b) - (3*Coth[a + b*x]*Csch[a + b*x])/(8*b) - (Coth[a + b*x]^3*Csch[a + b*x])/(4*b)","A",3,2,15,0.1333,1,"{2611, 3770}"
124,1,17,0,0.0263057,"\int \coth ^2(x) \text{csch}^4(x) \, dx","Int[Coth[x]^2*Csch[x]^4,x]","\frac{\coth ^3(x)}{3}-\frac{\coth ^5(x)}{5}","\frac{\coth ^3(x)}{3}-\frac{\coth ^5(x)}{5}",1,"Coth[x]^3/3 - Coth[x]^5/5","A",3,2,9,0.2222,1,"{2607, 14}"
125,1,17,0,0.0280708,"\int \coth ^3(x) \text{csch}^4(x) \, dx","Int[Coth[x]^3*Csch[x]^4,x]","-\frac{1}{6} \text{csch}^6(x)-\frac{\text{csch}^4(x)}{4}","-\frac{1}{6} \text{csch}^6(x)-\frac{\text{csch}^4(x)}{4}",1,"-Csch[x]^4/4 - Csch[x]^6/6","A",3,2,9,0.2222,1,"{2606, 14}"
126,1,26,0,0.0351811,"\int \coth ^n(x) \text{csch}^4(x) \, dx","Int[Coth[x]^n*Csch[x]^4,x]","\frac{\coth ^{n+1}(x)}{n+1}-\frac{\coth ^{n+3}(x)}{n+3}","\frac{\coth ^{n+1}(x)}{n+1}-\frac{\coth ^{n+3}(x)}{n+3}",1,"Coth[x]^(1 + n)/(1 + n) - Coth[x]^(3 + n)/(3 + n)","A",3,2,9,0.2222,1,"{2607, 14}"
127,1,38,0,0.0645452,"\int \coth ^4(x) \text{csch}^3(x) \, dx","Int[Coth[x]^4*Csch[x]^3,x]","\frac{1}{16} \tanh ^{-1}(\cosh (x))-\frac{1}{6} \coth ^3(x) \text{csch}^3(x)-\frac{1}{8} \coth (x) \text{csch}^3(x)-\frac{1}{16} \coth (x) \text{csch}(x)","\frac{1}{16} \tanh ^{-1}(\cosh (x))-\frac{1}{6} \coth ^3(x) \text{csch}^3(x)-\frac{1}{8} \coth (x) \text{csch}^3(x)-\frac{1}{16} \coth (x) \text{csch}(x)",1,"ArcTanh[Cosh[x]]/16 - (Coth[x]*Csch[x])/16 - (Coth[x]*Csch[x]^3)/8 - (Coth[x]^3*Csch[x]^3)/6","A",4,3,9,0.3333,1,"{2611, 3768, 3770}"
128,1,25,0,0.0293946,"\int \coth ^4(x) \text{csch}^6(x) \, dx","Int[Coth[x]^4*Csch[x]^6,x]","-\frac{1}{9} \coth ^9(x)+\frac{2 \coth ^7(x)}{7}-\frac{\coth ^5(x)}{5}","-\frac{1}{9} \coth ^9(x)+\frac{2 \coth ^7(x)}{7}-\frac{\coth ^5(x)}{5}",1,"-Coth[x]^5/5 + (2*Coth[x]^7)/7 - Coth[x]^9/9","A",3,2,9,0.2222,1,"{2607, 270}"
129,1,29,0,0.0191935,"\int \coth ^5(6 x) \text{csch}(6 x) \, dx","Int[Coth[6*x]^5*Csch[6*x],x]","-\frac{1}{30} \text{csch}^5(6 x)-\frac{1}{9} \text{csch}^3(6 x)-\frac{1}{6} \text{csch}(6 x)","-\frac{1}{30} \text{csch}^5(6 x)-\frac{1}{9} \text{csch}^3(6 x)-\frac{1}{6} \text{csch}(6 x)",1,"-Csch[6*x]/6 - Csch[6*x]^3/9 - Csch[6*x]^5/30","A",3,2,11,0.1818,1,"{2606, 194}"
130,1,33,0,0.0336737,"\int \coth ^7(x) \text{csch}^3(x) \, dx","Int[Coth[x]^7*Csch[x]^3,x]","-\frac{1}{9} \text{csch}^9(x)-\frac{3 \text{csch}^7(x)}{7}-\frac{3 \text{csch}^5(x)}{5}-\frac{\text{csch}^3(x)}{3}","-\frac{1}{9} \text{csch}^9(x)-\frac{3 \text{csch}^7(x)}{7}-\frac{3 \text{csch}^5(x)}{5}-\frac{\text{csch}^3(x)}{3}",1,"-Csch[x]^3/3 - (3*Csch[x]^5)/5 - (3*Csch[x]^7)/7 - Csch[x]^9/9","A",3,2,9,0.2222,1,"{2606, 270}"
131,1,27,0,0.0266107,"\int \sinh (a+b x) \sinh (c+b x) \, dx","Int[Sinh[a + b*x]*Sinh[c + b*x],x]","\frac{\sinh (a+2 b x+c)}{4 b}-\frac{1}{2} x \cosh (a-c)","\frac{\sinh (a+2 b x+c)}{4 b}-\frac{1}{2} x \cosh (a-c)",1,"-(x*Cosh[a - c])/2 + Sinh[a + c + 2*b*x]/(4*b)","A",3,2,13,0.1538,1,"{5613, 2637}"
132,1,27,0,0.0267764,"\int \sinh (c-b x) \sinh (a+b x) \, dx","Int[Sinh[c - b*x]*Sinh[a + b*x],x]","\frac{1}{2} x \cosh (a+c)-\frac{\sinh (a+2 b x-c)}{4 b}","\frac{1}{2} x \cosh (a+c)-\frac{\sinh (a+2 b x-c)}{4 b}",1,"(x*Cosh[a + c])/2 - Sinh[a - c + 2*b*x]/(4*b)","A",3,2,14,0.1429,1,"{5613, 2637}"
133,1,27,0,0.0188788,"\int \cosh (a+b x) \cosh (c+b x) \, dx","Int[Cosh[a + b*x]*Cosh[c + b*x],x]","\frac{\sinh (a+2 b x+c)}{4 b}+\frac{1}{2} x \cosh (a-c)","\frac{\sinh (a+2 b x+c)}{4 b}+\frac{1}{2} x \cosh (a-c)",1,"(x*Cosh[a - c])/2 + Sinh[a + c + 2*b*x]/(4*b)","A",3,2,13,0.1538,1,"{5614, 2637}"
134,1,27,0,0.0188699,"\int \cosh (c-b x) \cosh (a+b x) \, dx","Int[Cosh[c - b*x]*Cosh[a + b*x],x]","\frac{\sinh (a+2 b x-c)}{4 b}+\frac{1}{2} x \cosh (a+c)","\frac{\sinh (a+2 b x-c)}{4 b}+\frac{1}{2} x \cosh (a+c)",1,"(x*Cosh[a + c])/2 + Sinh[a - c + 2*b*x]/(4*b)","A",3,2,14,0.1429,1,"{5614, 2637}"
135,1,37,0,0.0695035,"\int \tanh (a+b x) \tanh (c+b x) \, dx","Int[Tanh[a + b*x]*Tanh[c + b*x],x]","-\frac{\coth (a-c) \log (\cosh (a+b x))}{b}+\frac{\coth (a-c) \log (\cosh (b x+c))}{b}+x","-\frac{\coth (a-c) \log (\cosh (a+b x))}{b}+\frac{\coth (a-c) \log (\cosh (b x+c))}{b}+x",1,"x - (Coth[a - c]*Log[Cosh[a + b*x]])/b + (Coth[a - c]*Log[Cosh[c + b*x]])/b","A",4,3,13,0.2308,1,"{5646, 5644, 3475}"
136,1,36,0,0.0691853,"\int \tanh (c-b x) \tanh (a+b x) \, dx","Int[Tanh[c - b*x]*Tanh[a + b*x],x]","-\frac{\coth (a+c) \log (\cosh (c-b x))}{b}+\frac{\coth (a+c) \log (\cosh (a+b x))}{b}-x","-\frac{\coth (a+c) \log (\cosh (c-b x))}{b}+\frac{\coth (a+c) \log (\cosh (a+b x))}{b}-x",1,"-x - (Coth[a + c]*Log[Cosh[c - b*x]])/b + (Coth[a + c]*Log[Cosh[a + b*x]])/b","A",4,3,14,0.2143,1,"{5646, 5644, 3475}"
137,1,37,0,0.0347978,"\int \coth (a+b x) \coth (c+b x) \, dx","Int[Coth[a + b*x]*Coth[c + b*x],x]","-\frac{\coth (a-c) \log (\sinh (a+b x))}{b}+\frac{\coth (a-c) \log (\sinh (b x+c))}{b}+x","-\frac{\coth (a-c) \log (\sinh (a+b x))}{b}+\frac{\coth (a-c) \log (\sinh (b x+c))}{b}+x",1,"x - (Coth[a - c]*Log[Sinh[a + b*x]])/b + (Coth[a - c]*Log[Sinh[c + b*x]])/b","A",4,3,13,0.2308,1,"{5647, 5645, 3475}"
138,1,36,0,0.0362535,"\int \coth (c-b x) \coth (a+b x) \, dx","Int[Coth[c - b*x]*Coth[a + b*x],x]","-\frac{\coth (a+c) \log (\sinh (c-b x))}{b}+\frac{\coth (a+c) \log (\sinh (a+b x))}{b}-x","-\frac{\coth (a+c) \log (\sinh (c-b x))}{b}+\frac{\coth (a+c) \log (\sinh (a+b x))}{b}-x",1,"-x - (Coth[a + c]*Log[Sinh[c - b*x]])/b + (Coth[a + c]*Log[Sinh[a + b*x]])/b","A",4,3,14,0.2143,1,"{5647, 5645, 3475}"
139,1,36,0,0.0246153,"\int \text{sech}(a+b x) \text{sech}(c+b x) \, dx","Int[Sech[a + b*x]*Sech[c + b*x],x]","\frac{\text{csch}(a-c) \log (\cosh (a+b x))}{b}-\frac{\text{csch}(a-c) \log (\cosh (b x+c))}{b}","\frac{\text{csch}(a-c) \log (\cosh (a+b x))}{b}-\frac{\text{csch}(a-c) \log (\cosh (b x+c))}{b}",1,"(Csch[a - c]*Log[Cosh[a + b*x]])/b - (Csch[a - c]*Log[Cosh[c + b*x]])/b","A",3,2,13,0.1538,1,"{5644, 3475}"
140,1,33,0,0.0234886,"\int \text{sech}(c-b x) \text{sech}(a+b x) \, dx","Int[Sech[c - b*x]*Sech[a + b*x],x]","\frac{\text{csch}(a+c) \log (\cosh (a+b x))}{b}-\frac{\text{csch}(a+c) \log (\cosh (c-b x))}{b}","\frac{\text{csch}(a+c) \log (\cosh (a+b x))}{b}-\frac{\text{csch}(a+c) \log (\cosh (c-b x))}{b}",1,"-((Csch[a + c]*Log[Cosh[c - b*x]])/b) + (Csch[a + c]*Log[Cosh[a + b*x]])/b","A",3,2,14,0.1429,1,"{5644, 3475}"
141,1,36,0,0.0237326,"\int \text{csch}(a+b x) \text{csch}(c+b x) \, dx","Int[Csch[a + b*x]*Csch[c + b*x],x]","\frac{\text{csch}(a-c) \log (\sinh (b x+c))}{b}-\frac{\text{csch}(a-c) \log (\sinh (a+b x))}{b}","\frac{\text{csch}(a-c) \log (\sinh (b x+c))}{b}-\frac{\text{csch}(a-c) \log (\sinh (a+b x))}{b}",1,"-((Csch[a - c]*Log[Sinh[a + b*x]])/b) + (Csch[a - c]*Log[Sinh[c + b*x]])/b","A",3,2,13,0.1538,1,"{5645, 3475}"
142,1,33,0,0.0236297,"\int \text{csch}(c-b x) \text{csch}(a+b x) \, dx","Int[Csch[c - b*x]*Csch[a + b*x],x]","\frac{\text{csch}(a+c) \log (\sinh (a+b x))}{b}-\frac{\text{csch}(a+c) \log (\sinh (c-b x))}{b}","\frac{\text{csch}(a+c) \log (\sinh (a+b x))}{b}-\frac{\text{csch}(a+c) \log (\sinh (c-b x))}{b}",1,"-((Csch[a + c]*Log[Sinh[c - b*x]])/b) + (Csch[a + c]*Log[Sinh[a + b*x]])/b","A",3,2,14,0.1429,1,"{5645, 3475}"
143,1,29,0,0.0228972,"\int \sinh (a+b x) \tanh (c+b x) \, dx","Int[Sinh[a + b*x]*Tanh[c + b*x],x]","\frac{\sinh (a+b x)}{b}-\frac{\cosh (a-c) \tan ^{-1}(\sinh (b x+c))}{b}","\frac{\sinh (a+b x)}{b}-\frac{\cosh (a-c) \tan ^{-1}(\sinh (b x+c))}{b}",1,"-((ArcTan[Sinh[c + b*x]]*Cosh[a - c])/b) + Sinh[a + b*x]/b","A",3,3,13,0.2308,1,"{5620, 2637, 3770}"
144,1,45,0,0.0551535,"\int \sinh (a+b x) \tanh ^2(c+b x) \, dx","Int[Sinh[a + b*x]*Tanh[c + b*x]^2,x]","-\frac{\sinh (a-c) \tan ^{-1}(\sinh (b x+c))}{b}+\frac{\cosh (a-c) \text{sech}(b x+c)}{b}+\frac{\cosh (a+b x)}{b}","-\frac{\sinh (a-c) \tan ^{-1}(\sinh (b x+c))}{b}+\frac{\cosh (a-c) \text{sech}(b x+c)}{b}+\frac{\cosh (a+b x)}{b}",1,"Cosh[a + b*x]/b + (Cosh[a - c]*Sech[c + b*x])/b - (ArcTan[Sinh[c + b*x]]*Sinh[a - c])/b","A",6,6,15,0.4000,1,"{5620, 5623, 2638, 3770, 2606, 8}"
145,1,72,0,0.082597,"\int \sinh (a+b x) \tanh ^3(c+b x) \, dx","Int[Sinh[a + b*x]*Tanh[c + b*x]^3,x]","\frac{\sinh (a-c) \text{sech}(b x+c)}{b}-\frac{3 \cosh (a-c) \tan ^{-1}(\sinh (b x+c))}{2 b}+\frac{\cosh (a-c) \tanh (b x+c) \text{sech}(b x+c)}{2 b}+\frac{\sinh (a+b x)}{b}","\frac{\sinh (a-c) \text{sech}(b x+c)}{b}-\frac{3 \cosh (a-c) \tan ^{-1}(\sinh (b x+c))}{2 b}+\frac{\cosh (a-c) \tanh (b x+c) \text{sech}(b x+c)}{2 b}+\frac{\sinh (a+b x)}{b}",1,"(-3*ArcTan[Sinh[c + b*x]]*Cosh[a - c])/(2*b) + (Sech[c + b*x]*Sinh[a - c])/b + Sinh[a + b*x]/b + (Cosh[a - c]*Sech[c + b*x]*Tanh[c + b*x])/(2*b)","A",9,7,15,0.4667,1,"{5620, 5623, 2637, 3770, 2606, 8, 2611}"
146,1,29,0,0.0204265,"\int \coth (c+b x) \sinh (a+b x) \, dx","Int[Coth[c + b*x]*Sinh[a + b*x],x]","\frac{\sinh (a+b x)}{b}-\frac{\sinh (a-c) \tanh ^{-1}(\cosh (b x+c))}{b}","\frac{\sinh (a+b x)}{b}-\frac{\sinh (a-c) \tanh ^{-1}(\cosh (b x+c))}{b}",1,"-((ArcTanh[Cosh[c + b*x]]*Sinh[a - c])/b) + Sinh[a + b*x]/b","A",3,3,13,0.2308,1,"{5622, 2637, 3770}"
147,1,46,0,0.0460025,"\int \coth ^2(c+b x) \sinh (a+b x) \, dx","Int[Coth[c + b*x]^2*Sinh[a + b*x],x]","-\frac{\cosh (a-c) \tanh ^{-1}(\cosh (b x+c))}{b}-\frac{\sinh (a-c) \text{csch}(b x+c)}{b}+\frac{\cosh (a+b x)}{b}","-\frac{\cosh (a-c) \tanh ^{-1}(\cosh (b x+c))}{b}-\frac{\sinh (a-c) \text{csch}(b x+c)}{b}+\frac{\cosh (a+b x)}{b}",1,"-((ArcTanh[Cosh[c + b*x]]*Cosh[a - c])/b) + Cosh[a + b*x]/b - (Csch[c + b*x]*Sinh[a - c])/b","A",6,6,15,0.4000,1,"{5622, 5621, 2638, 3770, 2606, 8}"
148,1,73,0,0.0874259,"\int \coth ^3(c+b x) \sinh (a+b x) \, dx","Int[Coth[c + b*x]^3*Sinh[a + b*x],x]","-\frac{\cosh (a-c) \text{csch}(b x+c)}{b}-\frac{3 \sinh (a-c) \tanh ^{-1}(\cosh (b x+c))}{2 b}-\frac{\sinh (a-c) \coth (b x+c) \text{csch}(b x+c)}{2 b}+\frac{\sinh (a+b x)}{b}","-\frac{\cosh (a-c) \text{csch}(b x+c)}{b}-\frac{3 \sinh (a-c) \tanh ^{-1}(\cosh (b x+c))}{2 b}-\frac{\sinh (a-c) \coth (b x+c) \text{csch}(b x+c)}{2 b}+\frac{\sinh (a+b x)}{b}",1,"-((Cosh[a - c]*Csch[c + b*x])/b) - (3*ArcTanh[Cosh[c + b*x]]*Sinh[a - c])/(2*b) - (Coth[c + b*x]*Csch[c + b*x]*Sinh[a - c])/(2*b) + Sinh[a + b*x]/b","A",9,7,15,0.4667,1,"{5622, 5621, 2637, 3770, 2606, 8, 2611}"
149,1,26,0,0.0158705,"\int \text{sech}(c+b x) \sinh (a+b x) \, dx","Int[Sech[c + b*x]*Sinh[a + b*x],x]","\frac{\cosh (a-c) \log (\cosh (b x+c))}{b}+x \sinh (a-c)","\frac{\cosh (a-c) \log (\cosh (b x+c))}{b}+x \sinh (a-c)",1,"(Cosh[a - c]*Log[Cosh[c + b*x]])/b + x*Sinh[a - c]","A",3,3,13,0.2308,1,"{5624, 3475, 8}"
150,1,35,0,0.0327126,"\int \text{sech}^2(c+b x) \sinh (a+b x) \, dx","Int[Sech[c + b*x]^2*Sinh[a + b*x],x]","\frac{\sinh (a-c) \tan ^{-1}(\sinh (b x+c))}{b}-\frac{\cosh (a-c) \text{sech}(b x+c)}{b}","\frac{\sinh (a-c) \tan ^{-1}(\sinh (b x+c))}{b}-\frac{\cosh (a-c) \text{sech}(b x+c)}{b}",1,"-((Cosh[a - c]*Sech[c + b*x])/b) + (ArcTan[Sinh[c + b*x]]*Sinh[a - c])/b","A",4,4,15,0.2667,1,"{5624, 2606, 8, 3770}"
151,1,38,0,0.0440048,"\int \text{sech}^3(c+b x) \sinh (a+b x) \, dx","Int[Sech[c + b*x]^3*Sinh[a + b*x],x]","\frac{\sinh (a-c) \tanh (b x+c)}{b}-\frac{\cosh (a-c) \text{sech}^2(b x+c)}{2 b}","\frac{\sinh (a-c) \tanh (b x+c)}{b}-\frac{\cosh (a-c) \text{sech}^2(b x+c)}{2 b}",1,"-(Cosh[a - c]*Sech[c + b*x]^2)/(2*b) + (Sinh[a - c]*Tanh[c + b*x])/b","A",5,5,15,0.3333,1,"{5624, 2606, 30, 3767, 8}"
152,1,26,0,0.0149365,"\int \text{csch}(c+b x) \sinh (a+b x) \, dx","Int[Csch[c + b*x]*Sinh[a + b*x],x]","\frac{\sinh (a-c) \log (\sinh (b x+c))}{b}+x \cosh (a-c)","\frac{\sinh (a-c) \log (\sinh (b x+c))}{b}+x \cosh (a-c)",1,"x*Cosh[a - c] + (Log[Sinh[c + b*x]]*Sinh[a - c])/b","A",3,3,13,0.2308,1,"{5626, 3475, 8}"
153,1,36,0,0.0317207,"\int \text{csch}^2(c+b x) \sinh (a+b x) \, dx","Int[Csch[c + b*x]^2*Sinh[a + b*x],x]","-\frac{\cosh (a-c) \tanh ^{-1}(\cosh (b x+c))}{b}-\frac{\sinh (a-c) \text{csch}(b x+c)}{b}","-\frac{\cosh (a-c) \tanh ^{-1}(\cosh (b x+c))}{b}-\frac{\sinh (a-c) \text{csch}(b x+c)}{b}",1,"-((ArcTanh[Cosh[c + b*x]]*Cosh[a - c])/b) - (Csch[c + b*x]*Sinh[a - c])/b","A",4,4,15,0.2667,1,"{5626, 2606, 8, 3770}"
154,1,39,0,0.0443071,"\int \text{csch}^3(c+b x) \sinh (a+b x) \, dx","Int[Csch[c + b*x]^3*Sinh[a + b*x],x]","-\frac{\cosh (a-c) \coth (b x+c)}{b}-\frac{\sinh (a-c) \text{csch}^2(b x+c)}{2 b}","-\frac{\cosh (a-c) \coth (b x+c)}{b}-\frac{\sinh (a-c) \text{csch}^2(b x+c)}{2 b}",1,"-((Cosh[a - c]*Coth[c + b*x])/b) - (Csch[c + b*x]^2*Sinh[a - c])/(2*b)","A",5,5,15,0.3333,1,"{5626, 2606, 30, 3767, 8}"
155,1,29,0,0.0193314,"\int \cosh (a+b x) \tanh (c+b x) \, dx","Int[Cosh[a + b*x]*Tanh[c + b*x],x]","\frac{\cosh (a+b x)}{b}-\frac{\sinh (a-c) \tan ^{-1}(\sinh (b x+c))}{b}","\frac{\cosh (a+b x)}{b}-\frac{\sinh (a-c) \tan ^{-1}(\sinh (b x+c))}{b}",1,"Cosh[a + b*x]/b - (ArcTan[Sinh[c + b*x]]*Sinh[a - c])/b","A",3,3,13,0.2308,1,"{5623, 2638, 3770}"
156,1,45,0,0.0424318,"\int \cosh (a+b x) \tanh ^2(c+b x) \, dx","Int[Cosh[a + b*x]*Tanh[c + b*x]^2,x]","\frac{\sinh (a-c) \text{sech}(b x+c)}{b}-\frac{\cosh (a-c) \tan ^{-1}(\sinh (b x+c))}{b}+\frac{\sinh (a+b x)}{b}","\frac{\sinh (a-c) \text{sech}(b x+c)}{b}-\frac{\cosh (a-c) \tan ^{-1}(\sinh (b x+c))}{b}+\frac{\sinh (a+b x)}{b}",1,"-((ArcTan[Sinh[c + b*x]]*Cosh[a - c])/b) + (Sech[c + b*x]*Sinh[a - c])/b + Sinh[a + b*x]/b","A",6,6,15,0.4000,1,"{5623, 5620, 2637, 3770, 2606, 8}"
157,1,72,0,0.0787169,"\int \cosh (a+b x) \tanh ^3(c+b x) \, dx","Int[Cosh[a + b*x]*Tanh[c + b*x]^3,x]","-\frac{3 \sinh (a-c) \tan ^{-1}(\sinh (b x+c))}{2 b}+\frac{\cosh (a-c) \text{sech}(b x+c)}{b}+\frac{\sinh (a-c) \tanh (b x+c) \text{sech}(b x+c)}{2 b}+\frac{\cosh (a+b x)}{b}","-\frac{3 \sinh (a-c) \tan ^{-1}(\sinh (b x+c))}{2 b}+\frac{\cosh (a-c) \text{sech}(b x+c)}{b}+\frac{\sinh (a-c) \tanh (b x+c) \text{sech}(b x+c)}{2 b}+\frac{\cosh (a+b x)}{b}",1,"Cosh[a + b*x]/b + (Cosh[a - c]*Sech[c + b*x])/b - (3*ArcTan[Sinh[c + b*x]]*Sinh[a - c])/(2*b) + (Sech[c + b*x]*Sinh[a - c]*Tanh[c + b*x])/(2*b)","A",9,7,15,0.4667,1,"{5623, 5620, 2638, 3770, 2606, 8, 2611}"
158,1,29,0,0.0199443,"\int \cosh (a+b x) \coth (c+b x) \, dx","Int[Cosh[a + b*x]*Coth[c + b*x],x]","\frac{\cosh (a+b x)}{b}-\frac{\cosh (a-c) \tanh ^{-1}(\cosh (b x+c))}{b}","\frac{\cosh (a+b x)}{b}-\frac{\cosh (a-c) \tanh ^{-1}(\cosh (b x+c))}{b}",1,"-((ArcTanh[Cosh[c + b*x]]*Cosh[a - c])/b) + Cosh[a + b*x]/b","A",3,3,13,0.2308,1,"{5621, 2638, 3770}"
159,1,46,0,0.0426559,"\int \cosh (a+b x) \coth ^2(c+b x) \, dx","Int[Cosh[a + b*x]*Coth[c + b*x]^2,x]","-\frac{\cosh (a-c) \text{csch}(b x+c)}{b}-\frac{\sinh (a-c) \tanh ^{-1}(\cosh (b x+c))}{b}+\frac{\sinh (a+b x)}{b}","-\frac{\cosh (a-c) \text{csch}(b x+c)}{b}-\frac{\sinh (a-c) \tanh ^{-1}(\cosh (b x+c))}{b}+\frac{\sinh (a+b x)}{b}",1,"-((Cosh[a - c]*Csch[c + b*x])/b) - (ArcTanh[Cosh[c + b*x]]*Sinh[a - c])/b + Sinh[a + b*x]/b","A",6,6,15,0.4000,1,"{5621, 5622, 2637, 3770, 2606, 8}"
160,1,73,0,0.0861191,"\int \cosh (a+b x) \coth ^3(c+b x) \, dx","Int[Cosh[a + b*x]*Coth[c + b*x]^3,x]","-\frac{3 \cosh (a-c) \tanh ^{-1}(\cosh (b x+c))}{2 b}-\frac{\sinh (a-c) \text{csch}(b x+c)}{b}-\frac{\cosh (a-c) \coth (b x+c) \text{csch}(b x+c)}{2 b}+\frac{\cosh (a+b x)}{b}","-\frac{3 \cosh (a-c) \tanh ^{-1}(\cosh (b x+c))}{2 b}-\frac{\sinh (a-c) \text{csch}(b x+c)}{b}-\frac{\cosh (a-c) \coth (b x+c) \text{csch}(b x+c)}{2 b}+\frac{\cosh (a+b x)}{b}",1,"(-3*ArcTanh[Cosh[c + b*x]]*Cosh[a - c])/(2*b) + Cosh[a + b*x]/b - (Cosh[a - c]*Coth[c + b*x]*Csch[c + b*x])/(2*b) - (Csch[c + b*x]*Sinh[a - c])/b","A",9,7,15,0.4667,1,"{5621, 5622, 2638, 3770, 2606, 8, 2611}"
161,1,26,0,0.014617,"\int \cosh (a+b x) \text{sech}(c+b x) \, dx","Int[Cosh[a + b*x]*Sech[c + b*x],x]","\frac{\sinh (a-c) \log (\cosh (b x+c))}{b}+x \cosh (a-c)","\frac{\sinh (a-c) \log (\cosh (b x+c))}{b}+x \cosh (a-c)",1,"x*Cosh[a - c] + (Log[Cosh[c + b*x]]*Sinh[a - c])/b","A",3,3,13,0.2308,1,"{5627, 3475, 8}"
162,1,35,0,0.0308974,"\int \cosh (a+b x) \text{sech}^2(c+b x) \, dx","Int[Cosh[a + b*x]*Sech[c + b*x]^2,x]","\frac{\cosh (a-c) \tan ^{-1}(\sinh (b x+c))}{b}-\frac{\sinh (a-c) \text{sech}(b x+c)}{b}","\frac{\cosh (a-c) \tan ^{-1}(\sinh (b x+c))}{b}-\frac{\sinh (a-c) \text{sech}(b x+c)}{b}",1,"(ArcTan[Sinh[c + b*x]]*Cosh[a - c])/b - (Sech[c + b*x]*Sinh[a - c])/b","A",4,4,15,0.2667,1,"{5627, 2606, 8, 3770}"
163,1,38,0,0.0418814,"\int \cosh (a+b x) \text{sech}^3(c+b x) \, dx","Int[Cosh[a + b*x]*Sech[c + b*x]^3,x]","\frac{\cosh (a-c) \tanh (b x+c)}{b}-\frac{\sinh (a-c) \text{sech}^2(b x+c)}{2 b}","\frac{\cosh (a-c) \tanh (b x+c)}{b}-\frac{\sinh (a-c) \text{sech}^2(b x+c)}{2 b}",1,"-(Sech[c + b*x]^2*Sinh[a - c])/(2*b) + (Cosh[a - c]*Tanh[c + b*x])/b","A",5,5,15,0.3333,1,"{5627, 2606, 30, 3767, 8}"
164,1,26,0,0.0147932,"\int \cosh (a+b x) \text{csch}(c+b x) \, dx","Int[Cosh[a + b*x]*Csch[c + b*x],x]","\frac{\cosh (a-c) \log (\sinh (b x+c))}{b}+x \sinh (a-c)","\frac{\cosh (a-c) \log (\sinh (b x+c))}{b}+x \sinh (a-c)",1,"(Cosh[a - c]*Log[Sinh[c + b*x]])/b + x*Sinh[a - c]","A",3,3,13,0.2308,1,"{5625, 3475, 8}"
165,1,36,0,0.0306922,"\int \cosh (a+b x) \text{csch}^2(c+b x) \, dx","Int[Cosh[a + b*x]*Csch[c + b*x]^2,x]","-\frac{\cosh (a-c) \text{csch}(b x+c)}{b}-\frac{\sinh (a-c) \tanh ^{-1}(\cosh (b x+c))}{b}","-\frac{\cosh (a-c) \text{csch}(b x+c)}{b}-\frac{\sinh (a-c) \tanh ^{-1}(\cosh (b x+c))}{b}",1,"-((Cosh[a - c]*Csch[c + b*x])/b) - (ArcTanh[Cosh[c + b*x]]*Sinh[a - c])/b","A",4,4,15,0.2667,1,"{5625, 2606, 8, 3770}"
166,1,39,0,0.0430111,"\int \cosh (a+b x) \text{csch}^3(c+b x) \, dx","Int[Cosh[a + b*x]*Csch[c + b*x]^3,x]","-\frac{\cosh (a-c) \text{csch}^2(b x+c)}{2 b}-\frac{\sinh (a-c) \coth (b x+c)}{b}","-\frac{\cosh (a-c) \text{csch}^2(b x+c)}{2 b}-\frac{\sinh (a-c) \coth (b x+c)}{b}",1,"-(Cosh[a - c]*Csch[c + b*x]^2)/(2*b) - (Coth[c + b*x]*Sinh[a - c])/b","A",5,5,15,0.3333,1,"{5625, 2606, 30, 3767, 8}"
167,1,43,0,0.0421003,"\int \sinh (a+b x) \sinh (c+d x) \, dx","Int[Sinh[a + b*x]*Sinh[c + d*x],x]","\frac{\sinh (a+x (b+d)+c)}{2 (b+d)}-\frac{\sinh (a+x (b-d)-c)}{2 (b-d)}","\frac{\sinh (a+x (b+d)+c)}{2 (b+d)}-\frac{\sinh (a+x (b-d)-c)}{2 (b-d)}",1,"-Sinh[a - c + (b - d)*x]/(2*(b - d)) + Sinh[a + c + (b + d)*x]/(2*(b + d))","A",4,2,13,0.1538,1,"{5613, 2637}"
168,1,62,0,0.0626973,"\int \sinh (a+b x) \sinh ^2(c+d x) \, dx","Int[Sinh[a + b*x]*Sinh[c + d*x]^2,x]","\frac{\cosh (a+x (b-2 d)-2 c)}{4 (b-2 d)}+\frac{\cosh (a+x (b+2 d)+2 c)}{4 (b+2 d)}-\frac{\cosh (a+b x)}{2 b}","\frac{\cosh (a+x (b-2 d)-2 c)}{4 (b-2 d)}+\frac{\cosh (a+x (b+2 d)+2 c)}{4 (b+2 d)}-\frac{\cosh (a+b x)}{2 b}",1,"-Cosh[a + b*x]/(2*b) + Cosh[a - 2*c + (b - 2*d)*x]/(4*(b - 2*d)) + Cosh[a + 2*c + (b + 2*d)*x]/(4*(b + 2*d))","A",5,2,15,0.1333,1,"{5613, 2638}"
169,1,91,0,0.0746128,"\int \sinh (a+b x) \sinh ^3(c+d x) \, dx","Int[Sinh[a + b*x]*Sinh[c + d*x]^3,x]","-\frac{\sinh (a+x (b-3 d)-3 c)}{8 (b-3 d)}+\frac{3 \sinh (a+x (b-d)-c)}{8 (b-d)}-\frac{3 \sinh (a+x (b+d)+c)}{8 (b+d)}+\frac{\sinh (a+x (b+3 d)+3 c)}{8 (b+3 d)}","-\frac{\sinh (a+x (b-3 d)-3 c)}{8 (b-3 d)}+\frac{3 \sinh (a+x (b-d)-c)}{8 (b-d)}-\frac{3 \sinh (a+x (b+d)+c)}{8 (b+d)}+\frac{\sinh (a+x (b+3 d)+3 c)}{8 (b+3 d)}",1,"-Sinh[a - 3*c + (b - 3*d)*x]/(8*(b - 3*d)) + (3*Sinh[a - c + (b - d)*x])/(8*(b - d)) - (3*Sinh[a + c + (b + d)*x])/(8*(b + d)) + Sinh[a + 3*c + (b + 3*d)*x]/(8*(b + 3*d))","A",6,2,15,0.1333,1,"{5613, 2637}"
170,1,88,0,0.0685166,"\int \sinh ^2(a+b x) \sinh ^2(c+d x) \, dx","Int[Sinh[a + b*x]^2*Sinh[c + d*x]^2,x]","\frac{\sinh (2 (a-c)+2 x (b-d))}{16 (b-d)}+\frac{\sinh (2 (a+c)+2 x (b+d))}{16 (b+d)}-\frac{\sinh (2 a+2 b x)}{8 b}-\frac{\sinh (2 c+2 d x)}{8 d}+\frac{x}{4}","\frac{\sinh (2 (a-c)+2 x (b-d))}{16 (b-d)}+\frac{\sinh (2 (a+c)+2 x (b+d))}{16 (b+d)}-\frac{\sinh (2 a+2 b x)}{8 b}-\frac{\sinh (2 c+2 d x)}{8 d}+\frac{x}{4}",1,"x/4 - Sinh[2*a + 2*b*x]/(8*b) + Sinh[2*(a - c) + 2*(b - d)*x]/(16*(b - d)) - Sinh[2*c + 2*d*x]/(8*d) + Sinh[2*(a + c) + 2*(b + d)*x]/(16*(b + d))","A",6,2,17,0.1176,1,"{5613, 2637}"
171,1,144,0,0.121526,"\int \sinh ^2(a+b x) \sinh ^3(c+d x) \, dx","Int[Sinh[a + b*x]^2*Sinh[c + d*x]^3,x]","-\frac{\cosh (2 a+x (2 b-3 d)-3 c)}{16 (2 b-3 d)}+\frac{3 \cosh (2 a+x (2 b-d)-c)}{16 (2 b-d)}-\frac{3 \cosh (2 a+x (2 b+d)+c)}{16 (2 b+d)}+\frac{\cosh (2 a+x (2 b+3 d)+3 c)}{16 (2 b+3 d)}+\frac{3 \cosh (c+d x)}{8 d}-\frac{\cosh (3 c+3 d x)}{24 d}","-\frac{\cosh (2 a+x (2 b-3 d)-3 c)}{16 (2 b-3 d)}+\frac{3 \cosh (2 a+x (2 b-d)-c)}{16 (2 b-d)}-\frac{3 \cosh (2 a+x (2 b+d)+c)}{16 (2 b+d)}+\frac{\cosh (2 a+x (2 b+3 d)+3 c)}{16 (2 b+3 d)}+\frac{3 \cosh (c+d x)}{8 d}-\frac{\cosh (3 c+3 d x)}{24 d}",1,"-Cosh[2*a - 3*c + (2*b - 3*d)*x]/(16*(2*b - 3*d)) + (3*Cosh[2*a - c + (2*b - d)*x])/(16*(2*b - d)) + (3*Cosh[c + d*x])/(8*d) - Cosh[3*c + 3*d*x]/(24*d) - (3*Cosh[2*a + c + (2*b + d)*x])/(16*(2*b + d)) + Cosh[2*a + 3*c + (2*b + 3*d)*x]/(16*(2*b + 3*d))","A",8,2,17,0.1176,1,"{5613, 2638}"
172,1,195,0,0.1444292,"\int \sinh ^3(a+b x) \sinh ^3(c+d x) \, dx","Int[Sinh[a + b*x]^3*Sinh[c + d*x]^3,x]","\frac{3 \sinh (a+x (b-3 d)-3 c)}{32 (b-3 d)}-\frac{9 \sinh (a+x (b-d)-c)}{32 (b-d)}-\frac{\sinh (3 (a-c)+3 x (b-d))}{96 (b-d)}+\frac{3 \sinh (3 a+x (3 b-d)-c)}{32 (3 b-d)}+\frac{9 \sinh (a+x (b+d)+c)}{32 (b+d)}+\frac{\sinh (3 (a+c)+3 x (b+d))}{96 (b+d)}-\frac{3 \sinh (3 a+x (3 b+d)+c)}{32 (3 b+d)}-\frac{3 \sinh (a+x (b+3 d)+3 c)}{32 (b+3 d)}","\frac{3 \sinh (a+x (b-3 d)-3 c)}{32 (b-3 d)}-\frac{9 \sinh (a+x (b-d)-c)}{32 (b-d)}-\frac{\sinh (3 (a-c)+3 x (b-d))}{96 (b-d)}+\frac{3 \sinh (3 a+x (3 b-d)-c)}{32 (3 b-d)}+\frac{9 \sinh (a+x (b+d)+c)}{32 (b+d)}+\frac{\sinh (3 (a+c)+3 x (b+d))}{96 (b+d)}-\frac{3 \sinh (3 a+x (3 b+d)+c)}{32 (3 b+d)}-\frac{3 \sinh (a+x (b+3 d)+3 c)}{32 (b+3 d)}",1,"(3*Sinh[a - 3*c + (b - 3*d)*x])/(32*(b - 3*d)) - (9*Sinh[a - c + (b - d)*x])/(32*(b - d)) - Sinh[3*(a - c) + 3*(b - d)*x]/(96*(b - d)) + (3*Sinh[3*a - c + (3*b - d)*x])/(32*(3*b - d)) + (9*Sinh[a + c + (b + d)*x])/(32*(b + d)) + Sinh[3*(a + c) + 3*(b + d)*x]/(96*(b + d)) - (3*Sinh[3*a + c + (3*b + d)*x])/(32*(3*b + d)) - (3*Sinh[a + 3*c + (b + 3*d)*x])/(32*(b + 3*d))","A",10,2,17,0.1176,1,"{5613, 2637}"
173,1,43,0,0.0398964,"\int \cosh (a+b x) \cosh (c+d x) \, dx","Int[Cosh[a + b*x]*Cosh[c + d*x],x]","\frac{\sinh (a+x (b-d)-c)}{2 (b-d)}+\frac{\sinh (a+x (b+d)+c)}{2 (b+d)}","\frac{\sinh (a+x (b-d)-c)}{2 (b-d)}+\frac{\sinh (a+x (b+d)+c)}{2 (b+d)}",1,"Sinh[a - c + (b - d)*x]/(2*(b - d)) + Sinh[a + c + (b + d)*x]/(2*(b + d))","A",4,2,13,0.1538,1,"{5614, 2637}"
174,1,62,0,0.0550744,"\int \cosh (a+b x) \cosh ^2(c+d x) \, dx","Int[Cosh[a + b*x]*Cosh[c + d*x]^2,x]","\frac{\sinh (a+x (b-2 d)-2 c)}{4 (b-2 d)}+\frac{\sinh (a+x (b+2 d)+2 c)}{4 (b+2 d)}+\frac{\sinh (a+b x)}{2 b}","\frac{\sinh (a+x (b-2 d)-2 c)}{4 (b-2 d)}+\frac{\sinh (a+x (b+2 d)+2 c)}{4 (b+2 d)}+\frac{\sinh (a+b x)}{2 b}",1,"Sinh[a + b*x]/(2*b) + Sinh[a - 2*c + (b - 2*d)*x]/(4*(b - 2*d)) + Sinh[a + 2*c + (b + 2*d)*x]/(4*(b + 2*d))","A",5,2,15,0.1333,1,"{5614, 2637}"
175,1,91,0,0.0693878,"\int \cosh (a+b x) \cosh ^3(c+d x) \, dx","Int[Cosh[a + b*x]*Cosh[c + d*x]^3,x]","\frac{\sinh (a+x (b-3 d)-3 c)}{8 (b-3 d)}+\frac{3 \sinh (a+x (b-d)-c)}{8 (b-d)}+\frac{3 \sinh (a+x (b+d)+c)}{8 (b+d)}+\frac{\sinh (a+x (b+3 d)+3 c)}{8 (b+3 d)}","\frac{\sinh (a+x (b-3 d)-3 c)}{8 (b-3 d)}+\frac{3 \sinh (a+x (b-d)-c)}{8 (b-d)}+\frac{3 \sinh (a+x (b+d)+c)}{8 (b+d)}+\frac{\sinh (a+x (b+3 d)+3 c)}{8 (b+3 d)}",1,"Sinh[a - 3*c + (b - 3*d)*x]/(8*(b - 3*d)) + (3*Sinh[a - c + (b - d)*x])/(8*(b - d)) + (3*Sinh[a + c + (b + d)*x])/(8*(b + d)) + Sinh[a + 3*c + (b + 3*d)*x]/(8*(b + 3*d))","A",6,2,15,0.1333,1,"{5614, 2637}"
176,1,88,0,0.0668682,"\int \cosh ^2(a+b x) \cosh ^2(c+d x) \, dx","Int[Cosh[a + b*x]^2*Cosh[c + d*x]^2,x]","\frac{\sinh (2 (a-c)+2 x (b-d))}{16 (b-d)}+\frac{\sinh (2 (a+c)+2 x (b+d))}{16 (b+d)}+\frac{\sinh (2 a+2 b x)}{8 b}+\frac{\sinh (2 c+2 d x)}{8 d}+\frac{x}{4}","\frac{\sinh (2 (a-c)+2 x (b-d))}{16 (b-d)}+\frac{\sinh (2 (a+c)+2 x (b+d))}{16 (b+d)}+\frac{\sinh (2 a+2 b x)}{8 b}+\frac{\sinh (2 c+2 d x)}{8 d}+\frac{x}{4}",1,"x/4 + Sinh[2*a + 2*b*x]/(8*b) + Sinh[2*(a - c) + 2*(b - d)*x]/(16*(b - d)) + Sinh[2*c + 2*d*x]/(8*d) + Sinh[2*(a + c) + 2*(b + d)*x]/(16*(b + d))","A",6,2,17,0.1176,1,"{5614, 2637}"
177,1,144,0,0.0998268,"\int \cosh ^2(a+b x) \cosh ^3(c+d x) \, dx","Int[Cosh[a + b*x]^2*Cosh[c + d*x]^3,x]","\frac{\sinh (2 a+x (2 b-3 d)-3 c)}{16 (2 b-3 d)}+\frac{3 \sinh (2 a+x (2 b-d)-c)}{16 (2 b-d)}+\frac{3 \sinh (2 a+x (2 b+d)+c)}{16 (2 b+d)}+\frac{\sinh (2 a+x (2 b+3 d)+3 c)}{16 (2 b+3 d)}+\frac{3 \sinh (c+d x)}{8 d}+\frac{\sinh (3 c+3 d x)}{24 d}","\frac{\sinh (2 a+x (2 b-3 d)-3 c)}{16 (2 b-3 d)}+\frac{3 \sinh (2 a+x (2 b-d)-c)}{16 (2 b-d)}+\frac{3 \sinh (2 a+x (2 b+d)+c)}{16 (2 b+d)}+\frac{\sinh (2 a+x (2 b+3 d)+3 c)}{16 (2 b+3 d)}+\frac{3 \sinh (c+d x)}{8 d}+\frac{\sinh (3 c+3 d x)}{24 d}",1,"Sinh[2*a - 3*c + (2*b - 3*d)*x]/(16*(2*b - 3*d)) + (3*Sinh[2*a - c + (2*b - d)*x])/(16*(2*b - d)) + (3*Sinh[c + d*x])/(8*d) + Sinh[3*c + 3*d*x]/(24*d) + (3*Sinh[2*a + c + (2*b + d)*x])/(16*(2*b + d)) + Sinh[2*a + 3*c + (2*b + 3*d)*x]/(16*(2*b + 3*d))","A",8,2,17,0.1176,1,"{5614, 2637}"
178,1,195,0,0.1328141,"\int \cosh ^3(a+b x) \cosh ^3(c+d x) \, dx","Int[Cosh[a + b*x]^3*Cosh[c + d*x]^3,x]","\frac{3 \sinh (a+x (b-3 d)-3 c)}{32 (b-3 d)}+\frac{9 \sinh (a+x (b-d)-c)}{32 (b-d)}+\frac{\sinh (3 (a-c)+3 x (b-d))}{96 (b-d)}+\frac{3 \sinh (3 a+x (3 b-d)-c)}{32 (3 b-d)}+\frac{9 \sinh (a+x (b+d)+c)}{32 (b+d)}+\frac{\sinh (3 (a+c)+3 x (b+d))}{96 (b+d)}+\frac{3 \sinh (3 a+x (3 b+d)+c)}{32 (3 b+d)}+\frac{3 \sinh (a+x (b+3 d)+3 c)}{32 (b+3 d)}","\frac{3 \sinh (a+x (b-3 d)-3 c)}{32 (b-3 d)}+\frac{9 \sinh (a+x (b-d)-c)}{32 (b-d)}+\frac{\sinh (3 (a-c)+3 x (b-d))}{96 (b-d)}+\frac{3 \sinh (3 a+x (3 b-d)-c)}{32 (3 b-d)}+\frac{9 \sinh (a+x (b+d)+c)}{32 (b+d)}+\frac{\sinh (3 (a+c)+3 x (b+d))}{96 (b+d)}+\frac{3 \sinh (3 a+x (3 b+d)+c)}{32 (3 b+d)}+\frac{3 \sinh (a+x (b+3 d)+3 c)}{32 (b+3 d)}",1,"(3*Sinh[a - 3*c + (b - 3*d)*x])/(32*(b - 3*d)) + (9*Sinh[a - c + (b - d)*x])/(32*(b - d)) + Sinh[3*(a - c) + 3*(b - d)*x]/(96*(b - d)) + (3*Sinh[3*a - c + (3*b - d)*x])/(32*(3*b - d)) + (9*Sinh[a + c + (b + d)*x])/(32*(b + d)) + Sinh[3*(a + c) + 3*(b + d)*x]/(96*(b + d)) + (3*Sinh[3*a + c + (3*b + d)*x])/(32*(3*b + d)) + (3*Sinh[a + 3*c + (b + 3*d)*x])/(32*(b + 3*d))","A",10,2,17,0.1176,1,"{5614, 2637}"
179,1,43,0,0.0451606,"\int \cosh (c+d x) \sinh (a+b x) \, dx","Int[Cosh[c + d*x]*Sinh[a + b*x],x]","\frac{\cosh (a+x (b-d)-c)}{2 (b-d)}+\frac{\cosh (a+x (b+d)+c)}{2 (b+d)}","\frac{\cosh (a+x (b-d)-c)}{2 (b-d)}+\frac{\cosh (a+x (b+d)+c)}{2 (b+d)}",1,"Cosh[a - c + (b - d)*x]/(2*(b - d)) + Cosh[a + c + (b + d)*x]/(2*(b + d))","A",4,2,13,0.1538,1,"{5618, 2638}"
180,1,62,0,0.0570709,"\int \cosh ^2(c+d x) \sinh (a+b x) \, dx","Int[Cosh[c + d*x]^2*Sinh[a + b*x],x]","\frac{\cosh (a+x (b-2 d)-2 c)}{4 (b-2 d)}+\frac{\cosh (a+x (b+2 d)+2 c)}{4 (b+2 d)}+\frac{\cosh (a+b x)}{2 b}","\frac{\cosh (a+x (b-2 d)-2 c)}{4 (b-2 d)}+\frac{\cosh (a+x (b+2 d)+2 c)}{4 (b+2 d)}+\frac{\cosh (a+b x)}{2 b}",1,"Cosh[a + b*x]/(2*b) + Cosh[a - 2*c + (b - 2*d)*x]/(4*(b - 2*d)) + Cosh[a + 2*c + (b + 2*d)*x]/(4*(b + 2*d))","A",5,2,15,0.1333,1,"{5618, 2638}"
181,1,91,0,0.0817464,"\int \cosh ^3(c+d x) \sinh (a+b x) \, dx","Int[Cosh[c + d*x]^3*Sinh[a + b*x],x]","\frac{\cosh (a+x (b-3 d)-3 c)}{8 (b-3 d)}+\frac{3 \cosh (a+x (b-d)-c)}{8 (b-d)}+\frac{3 \cosh (a+x (b+d)+c)}{8 (b+d)}+\frac{\cosh (a+x (b+3 d)+3 c)}{8 (b+3 d)}","\frac{\cosh (a+x (b-3 d)-3 c)}{8 (b-3 d)}+\frac{3 \cosh (a+x (b-d)-c)}{8 (b-d)}+\frac{3 \cosh (a+x (b+d)+c)}{8 (b+d)}+\frac{\cosh (a+x (b+3 d)+3 c)}{8 (b+3 d)}",1,"Cosh[a - 3*c + (b - 3*d)*x]/(8*(b - 3*d)) + (3*Cosh[a - c + (b - d)*x])/(8*(b - d)) + (3*Cosh[a + c + (b + d)*x])/(8*(b + d)) + Cosh[a + 3*c + (b + 3*d)*x]/(8*(b + 3*d))","A",6,2,15,0.1333,1,"{5618, 2638}"
182,1,68,0,0.0536795,"\int \cosh (c+d x) \sinh ^2(a+b x) \, dx","Int[Cosh[c + d*x]*Sinh[a + b*x]^2,x]","\frac{\sinh (2 a+x (2 b-d)-c)}{4 (2 b-d)}+\frac{\sinh (2 a+x (2 b+d)+c)}{4 (2 b+d)}-\frac{\sinh (c+d x)}{2 d}","\frac{\sinh (2 a+x (2 b-d)-c)}{4 (2 b-d)}+\frac{\sinh (2 a+x (2 b+d)+c)}{4 (2 b+d)}-\frac{\sinh (c+d x)}{2 d}",1,"Sinh[2*a - c + (2*b - d)*x]/(4*(2*b - d)) - Sinh[c + d*x]/(2*d) + Sinh[2*a + c + (2*b + d)*x]/(4*(2*b + d))","A",5,2,15,0.1333,1,"{5618, 2637}"
183,1,88,0,0.0655807,"\int \cosh ^2(c+d x) \sinh ^2(a+b x) \, dx","Int[Cosh[c + d*x]^2*Sinh[a + b*x]^2,x]","\frac{\sinh (2 (a-c)+2 x (b-d))}{16 (b-d)}+\frac{\sinh (2 (a+c)+2 x (b+d))}{16 (b+d)}+\frac{\sinh (2 a+2 b x)}{8 b}-\frac{\sinh (2 c+2 d x)}{8 d}-\frac{x}{4}","\frac{\sinh (2 (a-c)+2 x (b-d))}{16 (b-d)}+\frac{\sinh (2 (a+c)+2 x (b+d))}{16 (b+d)}+\frac{\sinh (2 a+2 b x)}{8 b}-\frac{\sinh (2 c+2 d x)}{8 d}-\frac{x}{4}",1,"-x/4 + Sinh[2*a + 2*b*x]/(8*b) + Sinh[2*(a - c) + 2*(b - d)*x]/(16*(b - d)) - Sinh[2*c + 2*d*x]/(8*d) + Sinh[2*(a + c) + 2*(b + d)*x]/(16*(b + d))","A",6,2,17,0.1176,1,"{5618, 2637}"
184,1,144,0,0.0925019,"\int \cosh ^3(c+d x) \sinh ^2(a+b x) \, dx","Int[Cosh[c + d*x]^3*Sinh[a + b*x]^2,x]","\frac{\sinh (2 a+x (2 b-3 d)-3 c)}{16 (2 b-3 d)}+\frac{3 \sinh (2 a+x (2 b-d)-c)}{16 (2 b-d)}+\frac{3 \sinh (2 a+x (2 b+d)+c)}{16 (2 b+d)}+\frac{\sinh (2 a+x (2 b+3 d)+3 c)}{16 (2 b+3 d)}-\frac{3 \sinh (c+d x)}{8 d}-\frac{\sinh (3 c+3 d x)}{24 d}","\frac{\sinh (2 a+x (2 b-3 d)-3 c)}{16 (2 b-3 d)}+\frac{3 \sinh (2 a+x (2 b-d)-c)}{16 (2 b-d)}+\frac{3 \sinh (2 a+x (2 b+d)+c)}{16 (2 b+d)}+\frac{\sinh (2 a+x (2 b+3 d)+3 c)}{16 (2 b+3 d)}-\frac{3 \sinh (c+d x)}{8 d}-\frac{\sinh (3 c+3 d x)}{24 d}",1,"Sinh[2*a - 3*c + (2*b - 3*d)*x]/(16*(2*b - 3*d)) + (3*Sinh[2*a - c + (2*b - d)*x])/(16*(2*b - d)) - (3*Sinh[c + d*x])/(8*d) - Sinh[3*c + 3*d*x]/(24*d) + (3*Sinh[2*a + c + (2*b + d)*x])/(16*(2*b + d)) + Sinh[2*a + 3*c + (2*b + 3*d)*x]/(16*(2*b + 3*d))","A",8,2,17,0.1176,1,"{5618, 2637}"
185,1,97,0,0.0805228,"\int \cosh (c+d x) \sinh ^3(a+b x) \, dx","Int[Cosh[c + d*x]*Sinh[a + b*x]^3,x]","-\frac{3 \cosh (a+x (b-d)-c)}{8 (b-d)}+\frac{\cosh (3 a+x (3 b-d)-c)}{8 (3 b-d)}-\frac{3 \cosh (a+x (b+d)+c)}{8 (b+d)}+\frac{\cosh (3 a+x (3 b+d)+c)}{8 (3 b+d)}","-\frac{3 \cosh (a+x (b-d)-c)}{8 (b-d)}+\frac{\cosh (3 a+x (3 b-d)-c)}{8 (3 b-d)}-\frac{3 \cosh (a+x (b+d)+c)}{8 (b+d)}+\frac{\cosh (3 a+x (3 b+d)+c)}{8 (3 b+d)}",1,"(-3*Cosh[a - c + (b - d)*x])/(8*(b - d)) + Cosh[3*a - c + (3*b - d)*x]/(8*(3*b - d)) - (3*Cosh[a + c + (b + d)*x])/(8*(b + d)) + Cosh[3*a + c + (3*b + d)*x]/(8*(3*b + d))","A",6,2,15,0.1333,1,"{5618, 2638}"
186,1,138,0,0.1137714,"\int \cosh ^2(c+d x) \sinh ^3(a+b x) \, dx","Int[Cosh[c + d*x]^2*Sinh[a + b*x]^3,x]","-\frac{3 \cosh (a+x (b-2 d)-2 c)}{16 (b-2 d)}+\frac{\cosh (3 a+x (3 b-2 d)-2 c)}{16 (3 b-2 d)}-\frac{3 \cosh (a+x (b+2 d)+2 c)}{16 (b+2 d)}+\frac{\cosh (3 a+x (3 b+2 d)+2 c)}{16 (3 b+2 d)}-\frac{3 \cosh (a+b x)}{8 b}+\frac{\cosh (3 a+3 b x)}{24 b}","-\frac{3 \cosh (a+x (b-2 d)-2 c)}{16 (b-2 d)}+\frac{\cosh (3 a+x (3 b-2 d)-2 c)}{16 (3 b-2 d)}-\frac{3 \cosh (a+x (b+2 d)+2 c)}{16 (b+2 d)}+\frac{\cosh (3 a+x (3 b+2 d)+2 c)}{16 (3 b+2 d)}-\frac{3 \cosh (a+b x)}{8 b}+\frac{\cosh (3 a+3 b x)}{24 b}",1,"(-3*Cosh[a + b*x])/(8*b) + Cosh[3*a + 3*b*x]/(24*b) - (3*Cosh[a - 2*c + (b - 2*d)*x])/(16*(b - 2*d)) + Cosh[3*a - 2*c + (3*b - 2*d)*x]/(16*(3*b - 2*d)) - (3*Cosh[a + 2*c + (b + 2*d)*x])/(16*(b + 2*d)) + Cosh[3*a + 2*c + (3*b + 2*d)*x]/(16*(3*b + 2*d))","A",8,2,17,0.1176,1,"{5618, 2638}"
187,1,195,0,0.1530862,"\int \cosh ^3(c+d x) \sinh ^3(a+b x) \, dx","Int[Cosh[c + d*x]^3*Sinh[a + b*x]^3,x]","-\frac{3 \cosh (a+x (b-3 d)-3 c)}{32 (b-3 d)}-\frac{9 \cosh (a+x (b-d)-c)}{32 (b-d)}+\frac{\cosh (3 (a-c)+3 x (b-d))}{96 (b-d)}+\frac{3 \cosh (3 a+x (3 b-d)-c)}{32 (3 b-d)}-\frac{9 \cosh (a+x (b+d)+c)}{32 (b+d)}+\frac{\cosh (3 (a+c)+3 x (b+d))}{96 (b+d)}+\frac{3 \cosh (3 a+x (3 b+d)+c)}{32 (3 b+d)}-\frac{3 \cosh (a+x (b+3 d)+3 c)}{32 (b+3 d)}","-\frac{3 \cosh (a+x (b-3 d)-3 c)}{32 (b-3 d)}-\frac{9 \cosh (a+x (b-d)-c)}{32 (b-d)}+\frac{\cosh (3 (a-c)+3 x (b-d))}{96 (b-d)}+\frac{3 \cosh (3 a+x (3 b-d)-c)}{32 (3 b-d)}-\frac{9 \cosh (a+x (b+d)+c)}{32 (b+d)}+\frac{\cosh (3 (a+c)+3 x (b+d))}{96 (b+d)}+\frac{3 \cosh (3 a+x (3 b+d)+c)}{32 (3 b+d)}-\frac{3 \cosh (a+x (b+3 d)+3 c)}{32 (b+3 d)}",1,"(-3*Cosh[a - 3*c + (b - 3*d)*x])/(32*(b - 3*d)) - (9*Cosh[a - c + (b - d)*x])/(32*(b - d)) + Cosh[3*(a - c) + 3*(b - d)*x]/(96*(b - d)) + (3*Cosh[3*a - c + (3*b - d)*x])/(32*(3*b - d)) - (9*Cosh[a + c + (b + d)*x])/(32*(b + d)) + Cosh[3*(a + c) + 3*(b + d)*x]/(96*(b + d)) + (3*Cosh[3*a + c + (3*b + d)*x])/(32*(3*b + d)) - (3*Cosh[a + 3*c + (b + 3*d)*x])/(32*(b + 3*d))","A",10,2,17,0.1176,1,"{5618, 2638}"
188,1,121,0,0.1064078,"\int \sinh (a+b x) \tanh (c+d x) \, dx","Int[Sinh[a + b*x]*Tanh[c + d*x],x]","-\frac{e^{-a-b x} \, _2F_1\left(1,-\frac{b}{2 d};1-\frac{b}{2 d};-e^{2 (c+d x)}\right)}{b}-\frac{e^{a+b x} \, _2F_1\left(1,\frac{b}{2 d};\frac{b}{2 d}+1;-e^{2 (c+d x)}\right)}{b}+\frac{e^{-a-b x}}{2 b}+\frac{e^{a+b x}}{2 b}","-\frac{e^{-a-b x} \, _2F_1\left(1,-\frac{b}{2 d};1-\frac{b}{2 d};-e^{2 (c+d x)}\right)}{b}-\frac{e^{a+b x} \, _2F_1\left(1,\frac{b}{2 d};\frac{b}{2 d}+1;-e^{2 (c+d x)}\right)}{b}+\frac{e^{-a-b x}}{2 b}+\frac{e^{a+b x}}{2 b}",1,"E^(-a - b*x)/(2*b) + E^(a + b*x)/(2*b) - (E^(-a - b*x)*Hypergeometric2F1[1, -b/(2*d), 1 - b/(2*d), -E^(2*(c + d*x))])/b - (E^(a + b*x)*Hypergeometric2F1[1, b/(2*d), 1 + b/(2*d), -E^(2*(c + d*x))])/b","A",6,3,13,0.2308,1,"{5601, 2194, 2251}"
189,1,117,0,0.1087856,"\int \coth (c+d x) \sinh (a+b x) \, dx","Int[Coth[c + d*x]*Sinh[a + b*x],x]","-\frac{e^{-a-b x} \, _2F_1\left(1,-\frac{b}{2 d};1-\frac{b}{2 d};e^{2 (c+d x)}\right)}{b}-\frac{e^{a+b x} \, _2F_1\left(1,\frac{b}{2 d};\frac{b}{2 d}+1;e^{2 (c+d x)}\right)}{b}+\frac{e^{-a-b x}}{2 b}+\frac{e^{a+b x}}{2 b}","-\frac{e^{-a-b x} \, _2F_1\left(1,-\frac{b}{2 d};1-\frac{b}{2 d};e^{2 (c+d x)}\right)}{b}-\frac{e^{a+b x} \, _2F_1\left(1,\frac{b}{2 d};\frac{b}{2 d}+1;e^{2 (c+d x)}\right)}{b}+\frac{e^{-a-b x}}{2 b}+\frac{e^{a+b x}}{2 b}",1,"E^(-a - b*x)/(2*b) + E^(a + b*x)/(2*b) - (E^(-a - b*x)*Hypergeometric2F1[1, -b/(2*d), 1 - b/(2*d), E^(2*(c + d*x))])/b - (E^(a + b*x)*Hypergeometric2F1[1, b/(2*d), 1 + b/(2*d), E^(2*(c + d*x))])/b","A",6,3,13,0.2308,1,"{5603, 2194, 2251}"
190,1,116,0,0.1057695,"\int \cosh (a+b x) \coth (c+d x) \, dx","Int[Cosh[a + b*x]*Coth[c + d*x],x]","\frac{e^{-a-b x} \, _2F_1\left(1,-\frac{b}{2 d};1-\frac{b}{2 d};e^{2 (c+d x)}\right)}{b}-\frac{e^{a+b x} \, _2F_1\left(1,\frac{b}{2 d};\frac{b}{2 d}+1;e^{2 (c+d x)}\right)}{b}-\frac{e^{-a-b x}}{2 b}+\frac{e^{a+b x}}{2 b}","\frac{e^{-a-b x} \, _2F_1\left(1,-\frac{b}{2 d};1-\frac{b}{2 d};e^{2 (c+d x)}\right)}{b}-\frac{e^{a+b x} \, _2F_1\left(1,\frac{b}{2 d};\frac{b}{2 d}+1;e^{2 (c+d x)}\right)}{b}-\frac{e^{-a-b x}}{2 b}+\frac{e^{a+b x}}{2 b}",1,"-E^(-a - b*x)/(2*b) + E^(a + b*x)/(2*b) + (E^(-a - b*x)*Hypergeometric2F1[1, -b/(2*d), 1 - b/(2*d), E^(2*(c + d*x))])/b - (E^(a + b*x)*Hypergeometric2F1[1, b/(2*d), 1 + b/(2*d), E^(2*(c + d*x))])/b","A",6,3,13,0.2308,1,"{5602, 2194, 2251}"
191,1,120,0,0.1002451,"\int \cosh (a+b x) \tanh (c+d x) \, dx","Int[Cosh[a + b*x]*Tanh[c + d*x],x]","\frac{e^{-a-b x} \, _2F_1\left(1,-\frac{b}{2 d};1-\frac{b}{2 d};-e^{2 (c+d x)}\right)}{b}-\frac{e^{a+b x} \, _2F_1\left(1,\frac{b}{2 d};\frac{b}{2 d}+1;-e^{2 (c+d x)}\right)}{b}-\frac{e^{-a-b x}}{2 b}+\frac{e^{a+b x}}{2 b}","\frac{e^{-a-b x} \, _2F_1\left(1,-\frac{b}{2 d};1-\frac{b}{2 d};-e^{2 (c+d x)}\right)}{b}-\frac{e^{a+b x} \, _2F_1\left(1,\frac{b}{2 d};\frac{b}{2 d}+1;-e^{2 (c+d x)}\right)}{b}-\frac{e^{-a-b x}}{2 b}+\frac{e^{a+b x}}{2 b}",1,"-E^(-a - b*x)/(2*b) + E^(a + b*x)/(2*b) + (E^(-a - b*x)*Hypergeometric2F1[1, -b/(2*d), 1 - b/(2*d), -E^(2*(c + d*x))])/b - (E^(a + b*x)*Hypergeometric2F1[1, b/(2*d), 1 + b/(2*d), -E^(2*(c + d*x))])/b","A",6,3,13,0.2308,1,"{5604, 2194, 2251}"
192,1,15,0,0.0090377,"\int \sinh (x) \sinh (2 x) \, dx","Int[Sinh[x]*Sinh[2*x],x]","\frac{1}{6} \sinh (3 x)-\frac{\sinh (x)}{2}","\frac{2 \sinh ^3(x)}{3}",1,"-Sinh[x]/2 + Sinh[3*x]/6","A",1,1,7,0.1429,1,"{4282}"
193,1,17,0,0.0094791,"\int \sinh (x) \sinh (3 x) \, dx","Int[Sinh[x]*Sinh[3*x],x]","\frac{1}{8} \sinh (4 x)-\frac{1}{4} \sinh (2 x)","\frac{1}{8} \sinh (4 x)-\frac{1}{4} \sinh (2 x)",1,"-Sinh[2*x]/4 + Sinh[4*x]/8","A",1,1,7,0.1429,1,"{4282}"
194,1,17,0,0.0101462,"\int \sinh (x) \sinh (4 x) \, dx","Int[Sinh[x]*Sinh[4*x],x]","\frac{1}{10} \sinh (5 x)-\frac{1}{6} \sinh (3 x)","\frac{1}{10} \sinh (5 x)-\frac{1}{6} \sinh (3 x)",1,"-Sinh[3*x]/6 + Sinh[5*x]/10","A",1,1,7,0.1429,1,"{4282}"
195,1,35,0,0.0319325,"\int \sinh (x) \sinh (m x) \, dx","Int[Sinh[x]*Sinh[m*x],x]","\frac{\sinh ((m+1) x)}{2 (m+1)}-\frac{\sinh ((1-m) x)}{2 (1-m)}","\frac{\sinh ((m+1) x)}{2 (m+1)}-\frac{\sinh ((1-m) x)}{2 (1-m)}",1,"-Sinh[(1 - m)*x]/(2*(1 - m)) + Sinh[(1 + m)*x]/(2*(1 + m))","A",4,2,7,0.2857,1,"{5613, 2637}"
196,1,15,0,0.009962,"\int \cosh (2 x) \sinh (x) \, dx","Int[Cosh[2*x]*Sinh[x],x]","\frac{1}{6} \cosh (3 x)-\frac{\cosh (x)}{2}","\frac{1}{6} \cosh (3 x)-\frac{\cosh (x)}{2}",1,"-Cosh[x]/2 + Cosh[3*x]/6","A",1,1,7,0.1429,1,"{4284}"
197,1,17,0,0.0105323,"\int \cosh (3 x) \sinh (x) \, dx","Int[Cosh[3*x]*Sinh[x],x]","\frac{1}{8} \cosh (4 x)-\frac{1}{4} \cosh (2 x)","\frac{1}{8} \cosh (4 x)-\frac{1}{4} \cosh (2 x)",1,"-Cosh[2*x]/4 + Cosh[4*x]/8","A",1,1,7,0.1429,1,"{4284}"
198,1,17,0,0.0108626,"\int \cosh (4 x) \sinh (x) \, dx","Int[Cosh[4*x]*Sinh[x],x]","\frac{1}{10} \cosh (5 x)-\frac{1}{6} \cosh (3 x)","\frac{1}{10} \cosh (5 x)-\frac{1}{6} \cosh (3 x)",1,"-Cosh[3*x]/6 + Cosh[5*x]/10","A",1,1,7,0.1429,1,"{4284}"
199,1,35,0,0.034527,"\int \cosh (m x) \sinh (x) \, dx","Int[Cosh[m*x]*Sinh[x],x]","\frac{\cosh ((1-m) x)}{2 (1-m)}+\frac{\cosh ((m+1) x)}{2 (m+1)}","\frac{\cosh ((1-m) x)}{2 (1-m)}+\frac{\cosh ((m+1) x)}{2 (m+1)}",1,"Cosh[(1 - m)*x]/(2*(1 - m)) + Cosh[(1 + m)*x]/(2*(1 + m))","A",4,2,7,0.2857,1,"{5618, 2638}"
200,1,19,0,0.025886,"\int \sinh (x) \tanh (2 x) \, dx","Int[Sinh[x]*Tanh[2*x],x]","\sinh (x)-\frac{\tan ^{-1}\left(\sqrt{2} \sinh (x)\right)}{\sqrt{2}}","\sinh (x)-\frac{\tan ^{-1}\left(\sqrt{2} \sinh (x)\right)}{\sqrt{2}}",1,"-(ArcTan[Sqrt[2]*Sinh[x]]/Sqrt[2]) + Sinh[x]","A",4,3,7,0.4286,1,"{12, 321, 203}"
201,1,19,0,0.0433314,"\int \sinh (x) \tanh (3 x) \, dx","Int[Sinh[x]*Tanh[3*x],x]","\sinh (x)-\frac{1}{3} \tan ^{-1}(\sinh (x))-\frac{1}{3} \tan ^{-1}(2 \sinh (x))","\sinh (x)-\frac{1}{3} \tan ^{-1}(\sinh (x))-\frac{1}{3} \tan ^{-1}(2 \sinh (x))",1,"-ArcTan[Sinh[x]]/3 - ArcTan[2*Sinh[x]]/3 + Sinh[x]","A",5,3,7,0.4286,1,"{1279, 1163, 203}"
202,1,69,0,0.0962809,"\int \sinh (x) \tanh (4 x) \, dx","Int[Sinh[x]*Tanh[4*x],x]","\sinh (x)-\frac{1}{4} \sqrt{2-\sqrt{2}} \tan ^{-1}\left(\frac{2 \sinh (x)}{\sqrt{2-\sqrt{2}}}\right)-\frac{1}{4} \sqrt{2+\sqrt{2}} \tan ^{-1}\left(\frac{2 \sinh (x)}{\sqrt{2+\sqrt{2}}}\right)","\sinh (x)-\frac{1}{4} \sqrt{2-\sqrt{2}} \tan ^{-1}\left(\frac{2 \sinh (x)}{\sqrt{2-\sqrt{2}}}\right)-\frac{1}{4} \sqrt{2+\sqrt{2}} \tan ^{-1}\left(\frac{2 \sinh (x)}{\sqrt{2+\sqrt{2}}}\right)",1,"-(Sqrt[2 - Sqrt[2]]*ArcTan[(2*Sinh[x])/Sqrt[2 - Sqrt[2]]])/4 - (Sqrt[2 + Sqrt[2]]*ArcTan[(2*Sinh[x])/Sqrt[2 + Sqrt[2]]])/4 + Sinh[x]","A",6,4,7,0.5714,1,"{12, 1279, 1166, 203}"
203,1,87,0,0.2906079,"\int \sinh (x) \tanh (5 x) \, dx","Int[Sinh[x]*Tanh[5*x],x]","\sinh (x)-\frac{1}{5} \tan ^{-1}(\sinh (x))-\frac{1}{5} \sqrt{\frac{1}{2} \left(3+\sqrt{5}\right)} \tan ^{-1}\left(2 \sqrt{\frac{2}{3+\sqrt{5}}} \sinh (x)\right)-\frac{1}{5} \sqrt{\frac{1}{2} \left(3-\sqrt{5}\right)} \tan ^{-1}\left(\sqrt{2 \left(3+\sqrt{5}\right)} \sinh (x)\right)","\sinh (x)-\frac{1}{5} \tan ^{-1}(\sinh (x))-\frac{1}{5} \sqrt{\frac{1}{2} \left(3+\sqrt{5}\right)} \tan ^{-1}\left(2 \sqrt{\frac{2}{3+\sqrt{5}}} \sinh (x)\right)-\frac{1}{5} \sqrt{\frac{1}{2} \left(3-\sqrt{5}\right)} \tan ^{-1}\left(\sqrt{2 \left(3+\sqrt{5}\right)} \sinh (x)\right)",1,"-ArcTan[Sinh[x]]/5 - (Sqrt[(3 + Sqrt[5])/2]*ArcTan[2*Sqrt[2/(3 + Sqrt[5])]*Sinh[x]])/5 - (Sqrt[(3 - Sqrt[5])/2]*ArcTan[Sqrt[2*(3 + Sqrt[5])]*Sinh[x]])/5 + Sinh[x]","A",9,4,7,0.5714,1,"{6742, 2073, 203, 1166}"
204,1,87,0,0.2586829,"\int \sinh (x) \tanh (6 x) \, dx","Int[Sinh[x]*Tanh[6*x],x]","\sinh (x)-\frac{\tan ^{-1}\left(\sqrt{2} \sinh (x)\right)}{3 \sqrt{2}}-\frac{1}{6} \sqrt{2-\sqrt{3}} \tan ^{-1}\left(\frac{2 \sinh (x)}{\sqrt{2-\sqrt{3}}}\right)-\frac{1}{6} \sqrt{2+\sqrt{3}} \tan ^{-1}\left(\frac{2 \sinh (x)}{\sqrt{2+\sqrt{3}}}\right)","\sinh (x)-\frac{\tan ^{-1}\left(\sqrt{2} \sinh (x)\right)}{3 \sqrt{2}}-\frac{1}{6} \sqrt{2-\sqrt{3}} \tan ^{-1}\left(\frac{2 \sinh (x)}{\sqrt{2-\sqrt{3}}}\right)-\frac{1}{6} \sqrt{2+\sqrt{3}} \tan ^{-1}\left(\frac{2 \sinh (x)}{\sqrt{2+\sqrt{3}}}\right)",1,"-ArcTan[Sqrt[2]*Sinh[x]]/(3*Sqrt[2]) - (Sqrt[2 - Sqrt[3]]*ArcTan[(2*Sinh[x])/Sqrt[2 - Sqrt[3]]])/6 - (Sqrt[2 + Sqrt[3]]*ArcTan[(2*Sinh[x])/Sqrt[2 + Sqrt[3]]])/6 + Sinh[x]","A",10,5,7,0.7143,1,"{12, 6742, 2073, 203, 1166}"
205,1,81,0,0.0696508,"\int \sinh (x) \tanh (n x) \, dx","Int[Sinh[x]*Tanh[n*x],x]","-e^{-x} \, _2F_1\left(1,-\frac{1}{2 n};1-\frac{1}{2 n};-e^{2 n x}\right)-e^x \, _2F_1\left(1,\frac{1}{2 n};\frac{1}{2} \left(2+\frac{1}{n}\right);-e^{2 n x}\right)+\frac{e^{-x}}{2}+\frac{e^x}{2}","-e^{-x} \, _2F_1\left(1,-\frac{1}{2 n};1-\frac{1}{2 n};-e^{2 n x}\right)-e^x \, _2F_1\left(1,\frac{1}{2 n};\frac{1}{2} \left(2+\frac{1}{n}\right);-e^{2 n x}\right)+\frac{e^{-x}}{2}+\frac{e^x}{2}",1,"1/(2*E^x) + E^x/2 - Hypergeometric2F1[1, -1/(2*n), 1 - 1/(2*n), -E^(2*n*x)]/E^x - E^x*Hypergeometric2F1[1, 1/(2*n), (2 + n^(-1))/2, -E^(2*n*x)]","A",6,3,7,0.4286,1,"{5601, 2194, 2251}"
206,1,10,0,0.0230417,"\int \coth (2 x) \sinh (x) \, dx","Int[Coth[2*x]*Sinh[x],x]","\sinh (x)-\frac{1}{2} \tan ^{-1}(\sinh (x))","\sinh (x)-\frac{1}{2} \tan ^{-1}(\sinh (x))",1,"-ArcTan[Sinh[x]]/2 + Sinh[x]","A",3,2,7,0.2857,1,"{388, 203}"
207,1,20,0,0.0269765,"\int \coth (3 x) \sinh (x) \, dx","Int[Coth[3*x]*Sinh[x],x]","\sinh (x)-\frac{\tan ^{-1}\left(\frac{2 \sinh (x)}{\sqrt{3}}\right)}{\sqrt{3}}","\sinh (x)-\frac{\tan ^{-1}\left(\frac{2 \sinh (x)}{\sqrt{3}}\right)}{\sqrt{3}}",1,"-(ArcTan[(2*Sinh[x])/Sqrt[3]]/Sqrt[3]) + Sinh[x]","A",3,2,7,0.2857,1,"{388, 203}"
208,1,28,0,0.0531672,"\int \coth (4 x) \sinh (x) \, dx","Int[Coth[4*x]*Sinh[x],x]","\sinh (x)-\frac{1}{4} \tan ^{-1}(\sinh (x))-\frac{\tan ^{-1}\left(\sqrt{2} \sinh (x)\right)}{2 \sqrt{2}}","\sinh (x)-\frac{1}{4} \tan ^{-1}(\sinh (x))-\frac{\tan ^{-1}\left(\sqrt{2} \sinh (x)\right)}{2 \sqrt{2}}",1,"-ArcTan[Sinh[x]]/4 - ArcTan[Sqrt[2]*Sinh[x]]/(2*Sqrt[2]) + Sinh[x]","A",6,3,7,0.4286,1,"{1676, 1166, 203}"
209,1,82,0,0.1874131,"\int \coth (5 x) \sinh (x) \, dx","Int[Coth[5*x]*Sinh[x],x]","\sinh (x)-\frac{1}{5} \sqrt{\frac{1}{2} \left(5+\sqrt{5}\right)} \tan ^{-1}\left(2 \sqrt{\frac{2}{5+\sqrt{5}}} \sinh (x)\right)-\frac{1}{5} \sqrt{\frac{1}{2} \left(5-\sqrt{5}\right)} \tan ^{-1}\left(\sqrt{\frac{2}{5} \left(5+\sqrt{5}\right)} \sinh (x)\right)","\sinh (x)-\frac{1}{5} \sqrt{\frac{1}{2} \left(5+\sqrt{5}\right)} \tan ^{-1}\left(2 \sqrt{\frac{2}{5+\sqrt{5}}} \sinh (x)\right)-\frac{1}{5} \sqrt{\frac{1}{2} \left(5-\sqrt{5}\right)} \tan ^{-1}\left(\sqrt{\frac{2}{5} \left(5+\sqrt{5}\right)} \sinh (x)\right)",1,"-(Sqrt[(5 + Sqrt[5])/2]*ArcTan[2*Sqrt[2/(5 + Sqrt[5])]*Sinh[x]])/5 - (Sqrt[(5 - Sqrt[5])/2]*ArcTan[Sqrt[(2*(5 + Sqrt[5]))/5]*Sinh[x]])/5 + Sinh[x]","A",6,3,7,0.4286,1,"{1676, 1166, 203}"
210,1,38,0,0.0773604,"\int \coth (6 x) \sinh (x) \, dx","Int[Coth[6*x]*Sinh[x],x]","\sinh (x)-\frac{1}{6} \tan ^{-1}(\sinh (x))-\frac{1}{6} \tan ^{-1}(2 \sinh (x))-\frac{\tan ^{-1}\left(\frac{2 \sinh (x)}{\sqrt{3}}\right)}{2 \sqrt{3}}","\sinh (x)-\frac{1}{6} \tan ^{-1}(\sinh (x))-\frac{1}{6} \tan ^{-1}(2 \sinh (x))-\frac{\tan ^{-1}\left(\frac{2 \sinh (x)}{\sqrt{3}}\right)}{2 \sqrt{3}}",1,"-ArcTan[Sinh[x]]/6 - ArcTan[2*Sinh[x]]/6 - ArcTan[(2*Sinh[x])/Sqrt[3]]/(2*Sqrt[3]) + Sinh[x]","A",7,3,7,0.4286,1,"{12, 2073, 203}"
211,1,16,0,0.0194854,"\int \text{sech}(2 x) \sinh (x) \, dx","Int[Sech[2*x]*Sinh[x],x]","-\frac{\tanh ^{-1}\left(\sqrt{2} \cosh (x)\right)}{\sqrt{2}}","-\frac{\tanh ^{-1}\left(\sqrt{2} \cosh (x)\right)}{\sqrt{2}}",1,"-(ArcTanh[Sqrt[2]*Cosh[x]]/Sqrt[2])","A",2,2,7,0.2857,1,"{4357, 207}"
212,1,21,0,0.0301864,"\int \text{sech}(3 x) \sinh (x) \, dx","Int[Sech[3*x]*Sinh[x],x]","\frac{1}{6} \log \left(3-4 \cosh ^2(x)\right)-\frac{1}{3} \log (\cosh (x))","\frac{1}{6} \log \left(3-4 \cosh ^2(x)\right)-\frac{1}{3} \log (\cosh (x))",1,"-Log[Cosh[x]]/3 + Log[3 - 4*Cosh[x]^2]/6","A",5,5,7,0.7143,1,"{4357, 266, 36, 29, 31}"
213,1,71,0,0.0735708,"\int \text{sech}(4 x) \sinh (x) \, dx","Int[Sech[4*x]*Sinh[x],x]","\frac{\tanh ^{-1}\left(\frac{2 \cosh (x)}{\sqrt{2-\sqrt{2}}}\right)}{2 \sqrt{2 \left(2-\sqrt{2}\right)}}-\frac{\tanh ^{-1}\left(\frac{2 \cosh (x)}{\sqrt{2+\sqrt{2}}}\right)}{2 \sqrt{2 \left(2+\sqrt{2}\right)}}","\frac{\tanh ^{-1}\left(\frac{2 \cosh (x)}{\sqrt{2-\sqrt{2}}}\right)}{2 \sqrt{2 \left(2-\sqrt{2}\right)}}-\frac{\tanh ^{-1}\left(\frac{2 \cosh (x)}{\sqrt{2+\sqrt{2}}}\right)}{2 \sqrt{2 \left(2+\sqrt{2}\right)}}",1,"ArcTanh[(2*Cosh[x])/Sqrt[2 - Sqrt[2]]]/(2*Sqrt[2*(2 - Sqrt[2])]) - ArcTanh[(2*Cosh[x])/Sqrt[2 + Sqrt[2]]]/(2*Sqrt[2*(2 + Sqrt[2])])","A",4,3,7,0.4286,1,"{4357, 1093, 207}"
214,1,62,0,0.0833591,"\int \text{sech}(5 x) \sinh (x) \, dx","Int[Sech[5*x]*Sinh[x],x]","-\frac{1}{20} \left(1+\sqrt{5}\right) \log \left(-8 \cosh ^2(x)-\sqrt{5}+5\right)-\frac{1}{20} \left(1-\sqrt{5}\right) \log \left(-8 \cosh ^2(x)+\sqrt{5}+5\right)+\frac{1}{5} \log (\cosh (x))","-\frac{1}{20} \left(1+\sqrt{5}\right) \log \left(-8 \cosh ^2(x)-\sqrt{5}+5\right)-\frac{1}{20} \left(1-\sqrt{5}\right) \log \left(-8 \cosh ^2(x)+\sqrt{5}+5\right)+\frac{1}{5} \log (\cosh (x))",1,"Log[Cosh[x]]/5 - ((1 + Sqrt[5])*Log[5 - Sqrt[5] - 8*Cosh[x]^2])/20 - ((1 - Sqrt[5])*Log[5 + Sqrt[5] - 8*Cosh[x]^2])/20","A",7,6,7,0.8571,1,"{4357, 1114, 705, 29, 632, 31}"
215,1,85,0,0.0791248,"\int \text{sech}(6 x) \sinh (x) \, dx","Int[Sech[6*x]*Sinh[x],x]","\frac{\tanh ^{-1}\left(\sqrt{2} \cosh (x)\right)}{3 \sqrt{2}}-\frac{\tanh ^{-1}\left(\frac{2 \cosh (x)}{\sqrt{2-\sqrt{3}}}\right)}{6 \sqrt{2-\sqrt{3}}}-\frac{\tanh ^{-1}\left(\frac{2 \cosh (x)}{\sqrt{2+\sqrt{3}}}\right)}{6 \sqrt{2+\sqrt{3}}}","\frac{\tanh ^{-1}\left(\sqrt{2} \cosh (x)\right)}{3 \sqrt{2}}-\frac{\tanh ^{-1}\left(\frac{2 \cosh (x)}{\sqrt{2-\sqrt{3}}}\right)}{6 \sqrt{2-\sqrt{3}}}-\frac{\tanh ^{-1}\left(\frac{2 \cosh (x)}{\sqrt{2+\sqrt{3}}}\right)}{6 \sqrt{2+\sqrt{3}}}",1,"ArcTanh[Sqrt[2]*Cosh[x]]/(3*Sqrt[2]) - ArcTanh[(2*Cosh[x])/Sqrt[2 - Sqrt[3]]]/(6*Sqrt[2 - Sqrt[3]]) - ArcTanh[(2*Cosh[x])/Sqrt[2 + Sqrt[3]]]/(6*Sqrt[2 + Sqrt[3]])","A",7,4,7,0.5714,1,"{4357, 2057, 207, 1166}"
216,1,7,0,0.013489,"\int \text{csch}(2 x) \sinh (x) \, dx","Int[Csch[2*x]*Sinh[x],x]","\frac{1}{2} \tan ^{-1}(\sinh (x))","\frac{1}{2} \tan ^{-1}(\sinh (x))",1,"ArcTan[Sinh[x]]/2","A",2,2,7,0.2857,1,"{4288, 3770}"
217,1,15,0,0.0362462,"\int \text{csch}(3 x) \sinh (x) \, dx","Int[Csch[3*x]*Sinh[x],x]","\frac{\tan ^{-1}\left(\frac{\tanh (x)}{\sqrt{3}}\right)}{\sqrt{3}}","\frac{\tan ^{-1}\left(\frac{\tanh (x)}{\sqrt{3}}\right)}{\sqrt{3}}",1,"ArcTan[Tanh[x]/Sqrt[3]]/Sqrt[3]","A",2,1,7,0.1429,1,"{203}"
218,1,26,0,0.0268189,"\int \text{csch}(4 x) \sinh (x) \, dx","Int[Csch[4*x]*Sinh[x],x]","\frac{\tan ^{-1}\left(\sqrt{2} \sinh (x)\right)}{2 \sqrt{2}}-\frac{1}{4} \tan ^{-1}(\sinh (x))","\frac{\tan ^{-1}\left(\sqrt{2} \sinh (x)\right)}{2 \sqrt{2}}-\frac{1}{4} \tan ^{-1}(\sinh (x))",1,"-ArcTan[Sinh[x]]/4 + ArcTan[Sqrt[2]*Sinh[x]]/(2*Sqrt[2])","A",4,2,7,0.2857,1,"{1093, 203}"
219,1,75,0,0.1080972,"\int \text{csch}(5 x) \sinh (x) \, dx","Int[Csch[5*x]*Sinh[x],x]","\frac{1}{5} \sqrt{\frac{1}{2} \left(5-\sqrt{5}\right)} \tan ^{-1}\left(\frac{\tanh (x)}{\sqrt{5-2 \sqrt{5}}}\right)-\frac{1}{5} \sqrt{\frac{1}{2} \left(5+\sqrt{5}\right)} \tan ^{-1}\left(\frac{\tanh (x)}{\sqrt{5+2 \sqrt{5}}}\right)","\frac{1}{5} \sqrt{\frac{1}{2} \left(5-\sqrt{5}\right)} \tan ^{-1}\left(\frac{\tanh (x)}{\sqrt{5-2 \sqrt{5}}}\right)-\frac{1}{5} \sqrt{\frac{1}{2} \left(5+\sqrt{5}\right)} \tan ^{-1}\left(\frac{\tanh (x)}{\sqrt{5+2 \sqrt{5}}}\right)",1,"(Sqrt[(5 - Sqrt[5])/2]*ArcTan[Tanh[x]/Sqrt[5 - 2*Sqrt[5]]])/5 - (Sqrt[(5 + Sqrt[5])/2]*ArcTan[Tanh[x]/Sqrt[5 + 2*Sqrt[5]]])/5","A",4,2,7,0.2857,1,"{1166, 203}"
220,1,36,0,0.0454255,"\int \text{csch}(6 x) \sinh (x) \, dx","Int[Csch[6*x]*Sinh[x],x]","\frac{1}{6} \tan ^{-1}(\sinh (x))+\frac{1}{6} \tan ^{-1}(2 \sinh (x))-\frac{\tan ^{-1}\left(\frac{2 \sinh (x)}{\sqrt{3}}\right)}{2 \sqrt{3}}","\frac{1}{6} \tan ^{-1}(\sinh (x))+\frac{1}{6} \tan ^{-1}(2 \sinh (x))-\frac{\tan ^{-1}\left(\frac{2 \sinh (x)}{\sqrt{3}}\right)}{2 \sqrt{3}}",1,"ArcTan[Sinh[x]]/6 + ArcTan[2*Sinh[x]]/6 - ArcTan[(2*Sinh[x])/Sqrt[3]]/(2*Sqrt[3])","A",7,3,7,0.4286,1,"{12, 2057, 203}"
221,1,15,0,0.0105073,"\int \cosh (x) \sinh (2 x) \, dx","Int[Cosh[x]*Sinh[2*x],x]","\frac{\cosh (x)}{2}+\frac{1}{6} \cosh (3 x)","\frac{2 \cosh ^3(x)}{3}",1,"Cosh[x]/2 + Cosh[3*x]/6","A",1,1,7,0.1429,1,"{4284}"
222,1,17,0,0.0106027,"\int \cosh (x) \sinh (3 x) \, dx","Int[Cosh[x]*Sinh[3*x],x]","\frac{1}{4} \cosh (2 x)+\frac{1}{8} \cosh (4 x)","\frac{1}{4} \cosh (2 x)+\frac{1}{8} \cosh (4 x)",1,"Cosh[2*x]/4 + Cosh[4*x]/8","A",1,1,7,0.1429,1,"{4284}"
223,1,17,0,0.0108065,"\int \cosh (x) \sinh (4 x) \, dx","Int[Cosh[x]*Sinh[4*x],x]","\frac{1}{6} \cosh (3 x)+\frac{1}{10} \cosh (5 x)","\frac{1}{6} \cosh (3 x)+\frac{1}{10} \cosh (5 x)",1,"Cosh[3*x]/6 + Cosh[5*x]/10","A",1,1,7,0.1429,1,"{4284}"
224,1,35,0,0.0330954,"\int \cosh (x) \sinh (m x) \, dx","Int[Cosh[x]*Sinh[m*x],x]","\frac{\cosh ((m+1) x)}{2 (m+1)}-\frac{\cosh ((1-m) x)}{2 (1-m)}","\frac{\cosh ((m+1) x)}{2 (m+1)}-\frac{\cosh ((1-m) x)}{2 (1-m)}",1,"-Cosh[(1 - m)*x]/(2*(1 - m)) + Cosh[(1 + m)*x]/(2*(1 + m))","A",4,2,7,0.2857,1,"{5618, 2638}"
225,1,15,0,0.0088413,"\int \cosh (x) \cosh (2 x) \, dx","Int[Cosh[x]*Cosh[2*x],x]","\frac{\sinh (x)}{2}+\frac{1}{6} \sinh (3 x)","\frac{\sinh (x)}{2}+\frac{1}{6} \sinh (3 x)",1,"Sinh[x]/2 + Sinh[3*x]/6","A",1,1,7,0.1429,1,"{4283}"
226,1,17,0,0.0087817,"\int \cosh (x) \cosh (3 x) \, dx","Int[Cosh[x]*Cosh[3*x],x]","\frac{1}{4} \sinh (2 x)+\frac{1}{8} \sinh (4 x)","\frac{1}{4} \sinh (2 x)+\frac{1}{8} \sinh (4 x)",1,"Sinh[2*x]/4 + Sinh[4*x]/8","A",1,1,7,0.1429,1,"{4283}"
227,1,17,0,0.0087368,"\int \cosh (x) \cosh (4 x) \, dx","Int[Cosh[x]*Cosh[4*x],x]","\frac{1}{6} \sinh (3 x)+\frac{1}{10} \sinh (5 x)","\frac{1}{6} \sinh (3 x)+\frac{1}{10} \sinh (5 x)",1,"Sinh[3*x]/6 + Sinh[5*x]/10","A",1,1,7,0.1429,1,"{4283}"
228,1,35,0,0.0286342,"\int \cosh (x) \cosh (m x) \, dx","Int[Cosh[x]*Cosh[m*x],x]","\frac{\sinh ((1-m) x)}{2 (1-m)}+\frac{\sinh ((m+1) x)}{2 (m+1)}","\frac{\sinh ((1-m) x)}{2 (1-m)}+\frac{\sinh ((m+1) x)}{2 (m+1)}",1,"Sinh[(1 - m)*x]/(2*(1 - m)) + Sinh[(1 + m)*x]/(2*(1 + m))","A",4,2,7,0.2857,1,"{5614, 2637}"
229,1,19,0,0.031566,"\int \cosh (x) \tanh (2 x) \, dx","Int[Cosh[x]*Tanh[2*x],x]","\cosh (x)-\frac{\tanh ^{-1}\left(\sqrt{2} \cosh (x)\right)}{\sqrt{2}}","\cosh (x)-\frac{\tanh ^{-1}\left(\sqrt{2} \cosh (x)\right)}{\sqrt{2}}",1,"-(ArcTanh[Sqrt[2]*Cosh[x]]/Sqrt[2]) + Cosh[x]","A",4,3,7,0.4286,1,"{12, 321, 207}"
230,1,20,0,0.0299257,"\int \cosh (x) \tanh (3 x) \, dx","Int[Cosh[x]*Tanh[3*x],x]","\cosh (x)-\frac{\tanh ^{-1}\left(\frac{2 \cosh (x)}{\sqrt{3}}\right)}{\sqrt{3}}","\cosh (x)-\frac{\tanh ^{-1}\left(\frac{2 \cosh (x)}{\sqrt{3}}\right)}{\sqrt{3}}",1,"-(ArcTanh[(2*Cosh[x])/Sqrt[3]]/Sqrt[3]) + Cosh[x]","A",3,2,7,0.2857,1,"{388, 206}"
231,1,69,0,0.0867444,"\int \cosh (x) \tanh (4 x) \, dx","Int[Cosh[x]*Tanh[4*x],x]","\cosh (x)-\frac{1}{4} \sqrt{2-\sqrt{2}} \tanh ^{-1}\left(\frac{2 \cosh (x)}{\sqrt{2-\sqrt{2}}}\right)-\frac{1}{4} \sqrt{2+\sqrt{2}} \tanh ^{-1}\left(\frac{2 \cosh (x)}{\sqrt{2+\sqrt{2}}}\right)","\cosh (x)-\frac{1}{4} \sqrt{2-\sqrt{2}} \tanh ^{-1}\left(\frac{2 \cosh (x)}{\sqrt{2-\sqrt{2}}}\right)-\frac{1}{4} \sqrt{2+\sqrt{2}} \tanh ^{-1}\left(\frac{2 \cosh (x)}{\sqrt{2+\sqrt{2}}}\right)",1,"-(Sqrt[2 - Sqrt[2]]*ArcTanh[(2*Cosh[x])/Sqrt[2 - Sqrt[2]]])/4 - (Sqrt[2 + Sqrt[2]]*ArcTanh[(2*Cosh[x])/Sqrt[2 + Sqrt[2]]])/4 + Cosh[x]","A",6,4,7,0.5714,1,"{12, 1279, 1166, 207}"
232,1,82,0,0.1168607,"\int \cosh (x) \tanh (5 x) \, dx","Int[Cosh[x]*Tanh[5*x],x]","\cosh (x)-\frac{1}{5} \sqrt{\frac{1}{2} \left(5+\sqrt{5}\right)} \tanh ^{-1}\left(2 \sqrt{\frac{2}{5+\sqrt{5}}} \cosh (x)\right)-\frac{1}{5} \sqrt{\frac{1}{2} \left(5-\sqrt{5}\right)} \tanh ^{-1}\left(\sqrt{\frac{2}{5} \left(5+\sqrt{5}\right)} \cosh (x)\right)","\cosh (x)-\frac{1}{5} \sqrt{\frac{1}{2} \left(5+\sqrt{5}\right)} \tanh ^{-1}\left(2 \sqrt{\frac{2}{5+\sqrt{5}}} \cosh (x)\right)-\frac{1}{5} \sqrt{\frac{1}{2} \left(5-\sqrt{5}\right)} \tanh ^{-1}\left(\sqrt{\frac{2}{5} \left(5+\sqrt{5}\right)} \cosh (x)\right)",1,"-(Sqrt[(5 + Sqrt[5])/2]*ArcTanh[2*Sqrt[2/(5 + Sqrt[5])]*Cosh[x]])/5 - (Sqrt[(5 - Sqrt[5])/2]*ArcTanh[Sqrt[(2*(5 + Sqrt[5]))/5]*Cosh[x]])/5 + Cosh[x]","A",6,3,7,0.4286,1,"{1676, 1166, 207}"
233,1,87,0,0.2510118,"\int \cosh (x) \tanh (6 x) \, dx","Int[Cosh[x]*Tanh[6*x],x]","\cosh (x)-\frac{\tanh ^{-1}\left(\sqrt{2} \cosh (x)\right)}{3 \sqrt{2}}-\frac{1}{6} \sqrt{2-\sqrt{3}} \tanh ^{-1}\left(\frac{2 \cosh (x)}{\sqrt{2-\sqrt{3}}}\right)-\frac{1}{6} \sqrt{2+\sqrt{3}} \tanh ^{-1}\left(\frac{2 \cosh (x)}{\sqrt{2+\sqrt{3}}}\right)","\cosh (x)-\frac{\tanh ^{-1}\left(\sqrt{2} \cosh (x)\right)}{3 \sqrt{2}}-\frac{1}{6} \sqrt{2-\sqrt{3}} \tanh ^{-1}\left(\frac{2 \cosh (x)}{\sqrt{2-\sqrt{3}}}\right)-\frac{1}{6} \sqrt{2+\sqrt{3}} \tanh ^{-1}\left(\frac{2 \cosh (x)}{\sqrt{2+\sqrt{3}}}\right)",1,"-ArcTanh[Sqrt[2]*Cosh[x]]/(3*Sqrt[2]) - (Sqrt[2 - Sqrt[3]]*ArcTanh[(2*Cosh[x])/Sqrt[2 - Sqrt[3]]])/6 - (Sqrt[2 + Sqrt[3]]*ArcTanh[(2*Cosh[x])/Sqrt[2 + Sqrt[3]]])/6 + Cosh[x]","A",10,5,7,0.7143,1,"{12, 6742, 2073, 207, 1166}"
234,1,10,0,0.0264988,"\int \cosh (x) \coth (2 x) \, dx","Int[Cosh[x]*Coth[2*x],x]","\cosh (x)-\frac{1}{2} \tanh ^{-1}(\cosh (x))","\cosh (x)-\frac{1}{2} \tanh ^{-1}(\cosh (x))",1,"-ArcTanh[Cosh[x]]/2 + Cosh[x]","A",4,3,7,0.4286,1,"{12, 388, 206}"
235,1,45,0,0.063326,"\int \cosh (x) \coth (3 x) \, dx","Int[Cosh[x]*Coth[3*x],x]","\cosh (x)+\frac{1}{6} \log (1-2 \cosh (x))+\frac{1}{6} \log (1-\cosh (x))-\frac{1}{6} \log (\cosh (x)+1)-\frac{1}{6} \log (2 \cosh (x)+1)","\cosh (x)+\frac{1}{6} \log (1-2 \cosh (x))+\frac{1}{6} \log (1-\cosh (x))-\frac{1}{6} \log (\cosh (x)+1)-\frac{1}{6} \log (2 \cosh (x)+1)",1,"Cosh[x] + Log[1 - 2*Cosh[x]]/6 + Log[1 - Cosh[x]]/6 - Log[1 + Cosh[x]]/6 - Log[1 + 2*Cosh[x]]/6","A",9,4,7,0.5714,1,"{1279, 1161, 616, 31}"
236,1,28,0,0.0567339,"\int \cosh (x) \coth (4 x) \, dx","Int[Cosh[x]*Coth[4*x],x]","\cosh (x)-\frac{1}{4} \tanh ^{-1}(\cosh (x))-\frac{\tanh ^{-1}\left(\sqrt{2} \cosh (x)\right)}{2 \sqrt{2}}","\cosh (x)-\frac{1}{4} \tanh ^{-1}(\cosh (x))-\frac{\tanh ^{-1}\left(\sqrt{2} \cosh (x)\right)}{2 \sqrt{2}}",1,"-ArcTanh[Cosh[x]]/4 - ArcTanh[Sqrt[2]*Cosh[x]]/(2*Sqrt[2]) + Cosh[x]","A",6,3,7,0.4286,1,"{1676, 1166, 207}"
237,1,110,0,0.1761592,"\int \cosh (x) \coth (5 x) \, dx","Int[Cosh[x]*Coth[5*x],x]","\cosh (x)+\frac{1}{20} \left(1-\sqrt{5}\right) \log \left(-4 \cosh (x)-\sqrt{5}+1\right)+\frac{1}{20} \left(1+\sqrt{5}\right) \log \left(-4 \cosh (x)+\sqrt{5}+1\right)-\frac{1}{20} \left(1-\sqrt{5}\right) \log \left(4 \cosh (x)-\sqrt{5}+1\right)-\frac{1}{20} \left(1+\sqrt{5}\right) \log \left(4 \cosh (x)+\sqrt{5}+1\right)-\frac{1}{5} \tanh ^{-1}(\cosh (x))","\cosh (x)+\frac{1}{20} \left(1-\sqrt{5}\right) \log \left(-4 \cosh (x)-\sqrt{5}+1\right)+\frac{1}{20} \left(1+\sqrt{5}\right) \log \left(-4 \cosh (x)+\sqrt{5}+1\right)-\frac{1}{20} \left(1-\sqrt{5}\right) \log \left(4 \cosh (x)-\sqrt{5}+1\right)-\frac{1}{20} \left(1+\sqrt{5}\right) \log \left(4 \cosh (x)+\sqrt{5}+1\right)-\frac{1}{5} \tanh ^{-1}(\cosh (x))",1,"-ArcTanh[Cosh[x]]/5 + Cosh[x] + ((1 - Sqrt[5])*Log[1 - Sqrt[5] - 4*Cosh[x]])/20 + ((1 + Sqrt[5])*Log[1 + Sqrt[5] - 4*Cosh[x]])/20 - ((1 - Sqrt[5])*Log[1 - Sqrt[5] + 4*Cosh[x]])/20 - ((1 + Sqrt[5])*Log[1 + Sqrt[5] + 4*Cosh[x]])/20","A",10,4,7,0.5714,1,"{2075, 207, 632, 31}"
238,1,38,0,0.0859348,"\int \cosh (x) \coth (6 x) \, dx","Int[Cosh[x]*Coth[6*x],x]","\cosh (x)-\frac{1}{6} \tanh ^{-1}(\cosh (x))-\frac{1}{6} \tanh ^{-1}(2 \cosh (x))-\frac{\tanh ^{-1}\left(\frac{2 \cosh (x)}{\sqrt{3}}\right)}{2 \sqrt{3}}","\cosh (x)-\frac{1}{6} \tanh ^{-1}(\cosh (x))-\frac{1}{6} \tanh ^{-1}(2 \cosh (x))-\frac{\tanh ^{-1}\left(\frac{2 \cosh (x)}{\sqrt{3}}\right)}{2 \sqrt{3}}",1,"-ArcTanh[Cosh[x]]/6 - ArcTanh[2*Cosh[x]]/6 - ArcTanh[(2*Cosh[x])/Sqrt[3]]/(2*Sqrt[3]) + Cosh[x]","A",7,3,7,0.4286,1,"{12, 2073, 207}"
239,1,76,0,0.0722335,"\int \cosh (x) \coth (n x) \, dx","Int[Cosh[x]*Coth[n*x],x]","e^{-x} \, _2F_1\left(1,-\frac{1}{2 n};1-\frac{1}{2 n};e^{2 n x}\right)-e^x \, _2F_1\left(1,\frac{1}{2 n};\frac{1}{2} \left(2+\frac{1}{n}\right);e^{2 n x}\right)-\frac{e^{-x}}{2}+\frac{e^x}{2}","e^{-x} \, _2F_1\left(1,-\frac{1}{2 n};1-\frac{1}{2 n};e^{2 n x}\right)-e^x \, _2F_1\left(1,\frac{1}{2 n};\frac{1}{2} \left(2+\frac{1}{n}\right);e^{2 n x}\right)-\frac{e^{-x}}{2}+\frac{e^x}{2}",1,"-1/(2*E^x) + E^x/2 + Hypergeometric2F1[1, -1/(2*n), 1 - 1/(2*n), E^(2*n*x)]/E^x - E^x*Hypergeometric2F1[1, 1/(2*n), (2 + n^(-1))/2, E^(2*n*x)]","A",6,3,7,0.4286,1,"{5602, 2194, 2251}"
240,1,15,0,0.0164232,"\int \cosh (x) \text{sech}(2 x) \, dx","Int[Cosh[x]*Sech[2*x],x]","\frac{\tan ^{-1}\left(\sqrt{2} \sinh (x)\right)}{\sqrt{2}}","\frac{\tan ^{-1}\left(\sqrt{2} \sinh (x)\right)}{\sqrt{2}}",1,"ArcTan[Sqrt[2]*Sinh[x]]/Sqrt[2]","A",2,2,7,0.2857,1,"{4356, 203}"
241,1,15,0,0.0317943,"\int \cosh (x) \text{sech}(3 x) \, dx","Int[Cosh[x]*Sech[3*x],x]","\frac{\tan ^{-1}\left(\sqrt{3} \tanh (x)\right)}{\sqrt{3}}","\frac{\tan ^{-1}\left(\sqrt{3} \tanh (x)\right)}{\sqrt{3}}",1,"ArcTan[Sqrt[3]*Tanh[x]]/Sqrt[3]","A",2,1,7,0.1429,1,"{203}"
242,1,71,0,0.0389463,"\int \cosh (x) \text{sech}(4 x) \, dx","Int[Cosh[x]*Sech[4*x],x]","\frac{\tan ^{-1}\left(\frac{2 \sinh (x)}{\sqrt{2-\sqrt{2}}}\right)}{2 \sqrt{2 \left(2-\sqrt{2}\right)}}-\frac{\tan ^{-1}\left(\frac{2 \sinh (x)}{\sqrt{2+\sqrt{2}}}\right)}{2 \sqrt{2 \left(2+\sqrt{2}\right)}}","\frac{\tan ^{-1}\left(\frac{2 \sinh (x)}{\sqrt{2-\sqrt{2}}}\right)}{2 \sqrt{2 \left(2-\sqrt{2}\right)}}-\frac{\tan ^{-1}\left(\frac{2 \sinh (x)}{\sqrt{2+\sqrt{2}}}\right)}{2 \sqrt{2 \left(2+\sqrt{2}\right)}}",1,"ArcTan[(2*Sinh[x])/Sqrt[2 - Sqrt[2]]]/(2*Sqrt[2*(2 - Sqrt[2])]) - ArcTan[(2*Sinh[x])/Sqrt[2 + Sqrt[2]]]/(2*Sqrt[2*(2 + Sqrt[2])])","A",4,3,7,0.4286,1,"{4356, 1093, 203}"
243,1,75,0,0.1251317,"\int \cosh (x) \text{sech}(5 x) \, dx","Int[Cosh[x]*Sech[5*x],x]","\frac{1}{5} \sqrt{\frac{1}{2} \left(5+\sqrt{5}\right)} \tan ^{-1}\left(\sqrt{5+2 \sqrt{5}} \tanh (x)\right)-\frac{1}{5} \sqrt{\frac{1}{2} \left(5-\sqrt{5}\right)} \tan ^{-1}\left(\sqrt{5-2 \sqrt{5}} \tanh (x)\right)","\frac{1}{5} \sqrt{\frac{1}{2} \left(5+\sqrt{5}\right)} \tan ^{-1}\left(\sqrt{5+2 \sqrt{5}} \tanh (x)\right)-\frac{1}{5} \sqrt{\frac{1}{2} \left(5-\sqrt{5}\right)} \tan ^{-1}\left(\sqrt{5-2 \sqrt{5}} \tanh (x)\right)",1,"-(Sqrt[(5 - Sqrt[5])/2]*ArcTan[Sqrt[5 - 2*Sqrt[5]]*Tanh[x]])/5 + (Sqrt[(5 + Sqrt[5])/2]*ArcTan[Sqrt[5 + 2*Sqrt[5]]*Tanh[x]])/5","A",4,2,7,0.2857,1,"{1166, 203}"
244,1,85,0,0.0576444,"\int \cosh (x) \text{sech}(6 x) \, dx","Int[Cosh[x]*Sech[6*x],x]","-\frac{\tan ^{-1}\left(\sqrt{2} \sinh (x)\right)}{3 \sqrt{2}}+\frac{\tan ^{-1}\left(\frac{2 \sinh (x)}{\sqrt{2-\sqrt{3}}}\right)}{6 \sqrt{2-\sqrt{3}}}+\frac{\tan ^{-1}\left(\frac{2 \sinh (x)}{\sqrt{2+\sqrt{3}}}\right)}{6 \sqrt{2+\sqrt{3}}}","-\frac{\tan ^{-1}\left(\sqrt{2} \sinh (x)\right)}{3 \sqrt{2}}+\frac{\tan ^{-1}\left(\frac{2 \sinh (x)}{\sqrt{2-\sqrt{3}}}\right)}{6 \sqrt{2-\sqrt{3}}}+\frac{\tan ^{-1}\left(\frac{2 \sinh (x)}{\sqrt{2+\sqrt{3}}}\right)}{6 \sqrt{2+\sqrt{3}}}",1,"-ArcTan[Sqrt[2]*Sinh[x]]/(3*Sqrt[2]) + ArcTan[(2*Sinh[x])/Sqrt[2 - Sqrt[3]]]/(6*Sqrt[2 - Sqrt[3]]) + ArcTan[(2*Sinh[x])/Sqrt[2 + Sqrt[3]]]/(6*Sqrt[2 + Sqrt[3]])","A",7,4,7,0.5714,1,"{4356, 2057, 203, 1166}"
245,1,7,0,0.0150622,"\int \cosh (x) \text{csch}(2 x) \, dx","Int[Cosh[x]*Csch[2*x],x]","-\frac{1}{2} \tanh ^{-1}(\cosh (x))","-\frac{1}{2} \tanh ^{-1}(\cosh (x))",1,"-ArcTanh[Cosh[x]]/2","A",2,2,7,0.2857,1,"{4287, 3770}"
246,1,21,0,0.0305192,"\int \cosh (x) \text{csch}(3 x) \, dx","Int[Cosh[x]*Csch[3*x],x]","\frac{1}{3} \log (\sinh (x))-\frac{1}{6} \log \left(4 \sinh ^2(x)+3\right)","\frac{1}{3} \log (\sinh (x))-\frac{1}{6} \log \left(4 \sinh ^2(x)+3\right)",1,"Log[Sinh[x]]/3 - Log[3 + 4*Sinh[x]^2]/6","A",5,5,7,0.7143,1,"{4356, 266, 36, 29, 31}"
247,1,26,0,0.03261,"\int \cosh (x) \text{csch}(4 x) \, dx","Int[Cosh[x]*Csch[4*x],x]","\frac{\tanh ^{-1}\left(\sqrt{2} \cosh (x)\right)}{2 \sqrt{2}}-\frac{1}{4} \tanh ^{-1}(\cosh (x))","\frac{\tanh ^{-1}\left(\sqrt{2} \cosh (x)\right)}{2 \sqrt{2}}-\frac{1}{4} \tanh ^{-1}(\cosh (x))",1,"-ArcTanh[Cosh[x]]/4 + ArcTanh[Sqrt[2]*Cosh[x]]/(2*Sqrt[2])","A",4,2,7,0.2857,1,"{1093, 206}"
248,1,62,0,0.0779144,"\int \cosh (x) \text{csch}(5 x) \, dx","Int[Cosh[x]*Csch[5*x],x]","-\frac{1}{20} \left(1+\sqrt{5}\right) \log \left(8 \sinh ^2(x)-\sqrt{5}+5\right)-\frac{1}{20} \left(1-\sqrt{5}\right) \log \left(8 \sinh ^2(x)+\sqrt{5}+5\right)+\frac{1}{5} \log (\sinh (x))","-\frac{1}{20} \left(1+\sqrt{5}\right) \log \left(8 \sinh ^2(x)-\sqrt{5}+5\right)-\frac{1}{20} \left(1-\sqrt{5}\right) \log \left(8 \sinh ^2(x)+\sqrt{5}+5\right)+\frac{1}{5} \log (\sinh (x))",1,"Log[Sinh[x]]/5 - ((1 + Sqrt[5])*Log[5 - Sqrt[5] + 8*Sinh[x]^2])/20 - ((1 - Sqrt[5])*Log[5 + Sqrt[5] + 8*Sinh[x]^2])/20","A",7,6,7,0.8571,1,"{4356, 1114, 705, 29, 632, 31}"
249,1,36,0,0.05212,"\int \cosh (x) \text{csch}(6 x) \, dx","Int[Cosh[x]*Csch[6*x],x]","-\frac{1}{6} \tanh ^{-1}(\cosh (x))-\frac{1}{6} \tanh ^{-1}(2 \cosh (x))+\frac{\tanh ^{-1}\left(\frac{2 \cosh (x)}{\sqrt{3}}\right)}{2 \sqrt{3}}","-\frac{1}{6} \tanh ^{-1}(\cosh (x))-\frac{1}{6} \tanh ^{-1}(2 \cosh (x))+\frac{\tanh ^{-1}\left(\frac{2 \cosh (x)}{\sqrt{3}}\right)}{2 \sqrt{3}}",1,"-ArcTanh[Cosh[x]]/6 - ArcTanh[2*Cosh[x]]/6 + ArcTanh[(2*Cosh[x])/Sqrt[3]]/(2*Sqrt[3])","A",7,3,7,0.4286,1,"{12, 2057, 207}"
250,1,70,0,0.1176871,"\int x^m \cosh (a+b x) \sinh (a+b x) \, dx","Int[x^m*Cosh[a + b*x]*Sinh[a + b*x],x]","\frac{e^{2 a} 2^{-m-3} x^m (-b x)^{-m} \text{Gamma}(m+1,-2 b x)}{b}+\frac{e^{-2 a} 2^{-m-3} x^m (b x)^{-m} \text{Gamma}(m+1,2 b x)}{b}","\frac{e^{2 a} 2^{-m-3} x^m (-b x)^{-m} \text{Gamma}(m+1,-2 b x)}{b}+\frac{e^{-2 a} 2^{-m-3} x^m (b x)^{-m} \text{Gamma}(m+1,2 b x)}{b}",1,"(2^(-3 - m)*E^(2*a)*x^m*Gamma[1 + m, -2*b*x])/(b*(-(b*x))^m) + (2^(-3 - m)*x^m*Gamma[1 + m, 2*b*x])/(b*E^(2*a)*(b*x)^m)","A",5,4,16,0.2500,1,"{5448, 12, 3308, 2181}"
251,1,94,0,0.0691723,"\int x^3 \cosh (a+b x) \sinh (a+b x) \, dx","Int[x^3*Cosh[a + b*x]*Sinh[a + b*x],x]","-\frac{3 x^2 \sinh (a+b x) \cosh (a+b x)}{4 b^2}+\frac{3 x \sinh ^2(a+b x)}{4 b^3}-\frac{3 \sinh (a+b x) \cosh (a+b x)}{8 b^4}+\frac{x^3 \sinh ^2(a+b x)}{2 b}+\frac{3 x}{8 b^3}+\frac{x^3}{4 b}","-\frac{3 x^2 \sinh (a+b x) \cosh (a+b x)}{4 b^2}+\frac{3 x \sinh ^2(a+b x)}{4 b^3}-\frac{3 \sinh (a+b x) \cosh (a+b x)}{8 b^4}+\frac{x^3 \sinh ^2(a+b x)}{2 b}+\frac{3 x}{8 b^3}+\frac{x^3}{4 b}",1,"(3*x)/(8*b^3) + x^3/(4*b) - (3*Cosh[a + b*x]*Sinh[a + b*x])/(8*b^4) - (3*x^2*Cosh[a + b*x]*Sinh[a + b*x])/(4*b^2) + (3*x*Sinh[a + b*x]^2)/(4*b^3) + (x^3*Sinh[a + b*x]^2)/(2*b)","A",5,5,16,0.3125,1,"{5372, 3311, 30, 2635, 8}"
252,1,64,0,0.0427648,"\int x^2 \cosh (a+b x) \sinh (a+b x) \, dx","Int[x^2*Cosh[a + b*x]*Sinh[a + b*x],x]","\frac{\sinh ^2(a+b x)}{4 b^3}-\frac{x \sinh (a+b x) \cosh (a+b x)}{2 b^2}+\frac{x^2 \sinh ^2(a+b x)}{2 b}+\frac{x^2}{4 b}","\frac{\sinh ^2(a+b x)}{4 b^3}-\frac{x \sinh (a+b x) \cosh (a+b x)}{2 b^2}+\frac{x^2 \sinh ^2(a+b x)}{2 b}+\frac{x^2}{4 b}",1,"x^2/(4*b) - (x*Cosh[a + b*x]*Sinh[a + b*x])/(2*b^2) + Sinh[a + b*x]^2/(4*b^3) + (x^2*Sinh[a + b*x]^2)/(2*b)","A",3,3,16,0.1875,1,"{5372, 3310, 30}"
253,1,44,0,0.0234004,"\int x \cosh (a+b x) \sinh (a+b x) \, dx","Int[x*Cosh[a + b*x]*Sinh[a + b*x],x]","-\frac{\sinh (a+b x) \cosh (a+b x)}{4 b^2}+\frac{x \sinh ^2(a+b x)}{2 b}+\frac{x}{4 b}","-\frac{\sinh (a+b x) \cosh (a+b x)}{4 b^2}+\frac{x \sinh ^2(a+b x)}{2 b}+\frac{x}{4 b}",1,"x/(4*b) - (Cosh[a + b*x]*Sinh[a + b*x])/(4*b^2) + (x*Sinh[a + b*x]^2)/(2*b)","A",3,3,14,0.2143,1,"{5372, 2635, 8}"
254,1,15,0,0.0137316,"\int \cosh (a+b x) \sinh (a+b x) \, dx","Int[Cosh[a + b*x]*Sinh[a + b*x],x]","\frac{\sinh ^2(a+b x)}{2 b}","\frac{\sinh ^2(a+b x)}{2 b}",1,"Sinh[a + b*x]^2/(2*b)","A",2,2,13,0.1538,1,"{2564, 30}"
255,1,27,0,0.0745568,"\int \frac{\cosh (a+b x) \sinh (a+b x)}{x} \, dx","Int[(Cosh[a + b*x]*Sinh[a + b*x])/x,x]","\frac{1}{2} \sinh (2 a) \text{Chi}(2 b x)+\frac{1}{2} \cosh (2 a) \text{Shi}(2 b x)","\frac{1}{2} \sinh (2 a) \text{Chi}(2 b x)+\frac{1}{2} \cosh (2 a) \text{Shi}(2 b x)",1,"(CoshIntegral[2*b*x]*Sinh[2*a])/2 + (Cosh[2*a]*SinhIntegral[2*b*x])/2","A",5,5,16,0.3125,1,"{5448, 12, 3303, 3298, 3301}"
256,1,39,0,0.0948402,"\int \frac{\cosh (a+b x) \sinh (a+b x)}{x^2} \, dx","Int[(Cosh[a + b*x]*Sinh[a + b*x])/x^2,x]","b \cosh (2 a) \text{Chi}(2 b x)+b \sinh (2 a) \text{Shi}(2 b x)-\frac{\sinh (2 a+2 b x)}{2 x}","b \cosh (2 a) \text{Chi}(2 b x)+b \sinh (2 a) \text{Shi}(2 b x)-\frac{\sinh (2 a+2 b x)}{2 x}",1,"b*Cosh[2*a]*CoshIntegral[2*b*x] - Sinh[2*a + 2*b*x]/(2*x) + b*Sinh[2*a]*SinhIntegral[2*b*x]","A",6,6,16,0.3750,1,"{5448, 12, 3297, 3303, 3298, 3301}"
257,1,60,0,0.1231425,"\int \frac{\cosh (a+b x) \sinh (a+b x)}{x^3} \, dx","Int[(Cosh[a + b*x]*Sinh[a + b*x])/x^3,x]","b^2 \sinh (2 a) \text{Chi}(2 b x)+b^2 \cosh (2 a) \text{Shi}(2 b x)-\frac{\sinh (2 a+2 b x)}{4 x^2}-\frac{b \cosh (2 a+2 b x)}{2 x}","b^2 \sinh (2 a) \text{Chi}(2 b x)+b^2 \cosh (2 a) \text{Shi}(2 b x)-\frac{\sinh (2 a+2 b x)}{4 x^2}-\frac{b \cosh (2 a+2 b x)}{2 x}",1,"-(b*Cosh[2*a + 2*b*x])/(2*x) + b^2*CoshIntegral[2*b*x]*Sinh[2*a] - Sinh[2*a + 2*b*x]/(4*x^2) + b^2*Cosh[2*a]*SinhIntegral[2*b*x]","A",7,6,16,0.3750,1,"{5448, 12, 3297, 3303, 3298, 3301}"
258,1,85,0,0.1505756,"\int \frac{\cosh (a+b x) \sinh (a+b x)}{x^4} \, dx","Int[(Cosh[a + b*x]*Sinh[a + b*x])/x^4,x]","\frac{2}{3} b^3 \cosh (2 a) \text{Chi}(2 b x)+\frac{2}{3} b^3 \sinh (2 a) \text{Shi}(2 b x)-\frac{b^2 \sinh (2 a+2 b x)}{3 x}-\frac{\sinh (2 a+2 b x)}{6 x^3}-\frac{b \cosh (2 a+2 b x)}{6 x^2}","\frac{2}{3} b^3 \cosh (2 a) \text{Chi}(2 b x)+\frac{2}{3} b^3 \sinh (2 a) \text{Shi}(2 b x)-\frac{b^2 \sinh (2 a+2 b x)}{3 x}-\frac{\sinh (2 a+2 b x)}{6 x^3}-\frac{b \cosh (2 a+2 b x)}{6 x^2}",1,"-(b*Cosh[2*a + 2*b*x])/(6*x^2) + (2*b^3*Cosh[2*a]*CoshIntegral[2*b*x])/3 - Sinh[2*a + 2*b*x]/(6*x^3) - (b^2*Sinh[2*a + 2*b*x])/(3*x) + (2*b^3*Sinh[2*a]*SinhIntegral[2*b*x])/3","A",8,6,16,0.3750,1,"{5448, 12, 3297, 3303, 3298, 3301}"
259,1,134,0,0.1960146,"\int x^m \cosh ^2(a+b x) \sinh (a+b x) \, dx","Int[x^m*Cosh[a + b*x]^2*Sinh[a + b*x],x]","\frac{e^{3 a} 3^{-m-1} x^m (-b x)^{-m} \text{Gamma}(m+1,-3 b x)}{8 b}+\frac{e^a x^m (-b x)^{-m} \text{Gamma}(m+1,-b x)}{8 b}+\frac{e^{-a} x^m (b x)^{-m} \text{Gamma}(m+1,b x)}{8 b}+\frac{e^{-3 a} 3^{-m-1} x^m (b x)^{-m} \text{Gamma}(m+1,3 b x)}{8 b}","\frac{e^{3 a} 3^{-m-1} x^m (-b x)^{-m} \text{Gamma}(m+1,-3 b x)}{8 b}+\frac{e^a x^m (-b x)^{-m} \text{Gamma}(m+1,-b x)}{8 b}+\frac{e^{-a} x^m (b x)^{-m} \text{Gamma}(m+1,b x)}{8 b}+\frac{e^{-3 a} 3^{-m-1} x^m (b x)^{-m} \text{Gamma}(m+1,3 b x)}{8 b}",1,"(3^(-1 - m)*E^(3*a)*x^m*Gamma[1 + m, -3*b*x])/(8*b*(-(b*x))^m) + (E^a*x^m*Gamma[1 + m, -(b*x)])/(8*b*(-(b*x))^m) + (x^m*Gamma[1 + m, b*x])/(8*b*E^a*(b*x)^m) + (3^(-1 - m)*x^m*Gamma[1 + m, 3*b*x])/(8*b*E^(3*a)*(b*x)^m)","A",8,3,18,0.1667,1,"{5448, 3308, 2181}"
260,1,117,0,0.1208937,"\int x^3 \cosh ^2(a+b x) \sinh (a+b x) \, dx","Int[x^3*Cosh[a + b*x]^2*Sinh[a + b*x],x]","-\frac{2 x^2 \sinh (a+b x)}{3 b^2}-\frac{x^2 \sinh (a+b x) \cosh ^2(a+b x)}{3 b^2}-\frac{2 \sinh ^3(a+b x)}{27 b^4}-\frac{14 \sinh (a+b x)}{9 b^4}+\frac{2 x \cosh ^3(a+b x)}{9 b^3}+\frac{4 x \cosh (a+b x)}{3 b^3}+\frac{x^3 \cosh ^3(a+b x)}{3 b}","-\frac{2 x^2 \sinh (a+b x)}{3 b^2}-\frac{x^2 \sinh (a+b x) \cosh ^2(a+b x)}{3 b^2}-\frac{2 \sinh ^3(a+b x)}{27 b^4}-\frac{14 \sinh (a+b x)}{9 b^4}+\frac{2 x \cosh ^3(a+b x)}{9 b^3}+\frac{4 x \cosh (a+b x)}{3 b^3}+\frac{x^3 \cosh ^3(a+b x)}{3 b}",1,"(4*x*Cosh[a + b*x])/(3*b^3) + (2*x*Cosh[a + b*x]^3)/(9*b^3) + (x^3*Cosh[a + b*x]^3)/(3*b) - (14*Sinh[a + b*x])/(9*b^4) - (2*x^2*Sinh[a + b*x])/(3*b^2) - (x^2*Cosh[a + b*x]^2*Sinh[a + b*x])/(3*b^2) - (2*Sinh[a + b*x]^3)/(27*b^4)","A",7,5,18,0.2778,1,"{5373, 3311, 3296, 2637, 2633}"
261,1,83,0,0.0705722,"\int x^2 \cosh ^2(a+b x) \sinh (a+b x) \, dx","Int[x^2*Cosh[a + b*x]^2*Sinh[a + b*x],x]","-\frac{4 x \sinh (a+b x)}{9 b^2}+\frac{2 \cosh ^3(a+b x)}{27 b^3}+\frac{4 \cosh (a+b x)}{9 b^3}-\frac{2 x \sinh (a+b x) \cosh ^2(a+b x)}{9 b^2}+\frac{x^2 \cosh ^3(a+b x)}{3 b}","-\frac{4 x \sinh (a+b x)}{9 b^2}+\frac{2 \cosh ^3(a+b x)}{27 b^3}+\frac{4 \cosh (a+b x)}{9 b^3}-\frac{2 x \sinh (a+b x) \cosh ^2(a+b x)}{9 b^2}+\frac{x^2 \cosh ^3(a+b x)}{3 b}",1,"(4*Cosh[a + b*x])/(9*b^3) + (2*Cosh[a + b*x]^3)/(27*b^3) + (x^2*Cosh[a + b*x]^3)/(3*b) - (4*x*Sinh[a + b*x])/(9*b^2) - (2*x*Cosh[a + b*x]^2*Sinh[a + b*x])/(9*b^2)","A",4,4,18,0.2222,1,"{5373, 3310, 3296, 2638}"
262,1,45,0,0.0313528,"\int x \cosh ^2(a+b x) \sinh (a+b x) \, dx","Int[x*Cosh[a + b*x]^2*Sinh[a + b*x],x]","-\frac{\sinh ^3(a+b x)}{9 b^2}-\frac{\sinh (a+b x)}{3 b^2}+\frac{x \cosh ^3(a+b x)}{3 b}","-\frac{\sinh ^3(a+b x)}{9 b^2}-\frac{\sinh (a+b x)}{3 b^2}+\frac{x \cosh ^3(a+b x)}{3 b}",1,"(x*Cosh[a + b*x]^3)/(3*b) - Sinh[a + b*x]/(3*b^2) - Sinh[a + b*x]^3/(9*b^2)","A",3,2,16,0.1250,1,"{5373, 2633}"
263,1,15,0,0.0205782,"\int \cosh ^2(a+b x) \sinh (a+b x) \, dx","Int[Cosh[a + b*x]^2*Sinh[a + b*x],x]","\frac{\cosh ^3(a+b x)}{3 b}","\frac{\cosh ^3(a+b x)}{3 b}",1,"Cosh[a + b*x]^3/(3*b)","A",2,2,15,0.1333,1,"{2565, 30}"
264,1,47,0,0.1413815,"\int \frac{\cosh ^2(a+b x) \sinh (a+b x)}{x} \, dx","Int[(Cosh[a + b*x]^2*Sinh[a + b*x])/x,x]","\frac{1}{4} \sinh (a) \text{Chi}(b x)+\frac{1}{4} \sinh (3 a) \text{Chi}(3 b x)+\frac{1}{4} \cosh (a) \text{Shi}(b x)+\frac{1}{4} \cosh (3 a) \text{Shi}(3 b x)","\frac{1}{4} \sinh (a) \text{Chi}(b x)+\frac{1}{4} \sinh (3 a) \text{Chi}(3 b x)+\frac{1}{4} \cosh (a) \text{Shi}(b x)+\frac{1}{4} \cosh (3 a) \text{Shi}(3 b x)",1,"(CoshIntegral[b*x]*Sinh[a])/4 + (CoshIntegral[3*b*x]*Sinh[3*a])/4 + (Cosh[a]*SinhIntegral[b*x])/4 + (Cosh[3*a]*SinhIntegral[3*b*x])/4","A",8,4,18,0.2222,1,"{5448, 3303, 3298, 3301}"
265,1,80,0,0.1855513,"\int \frac{\cosh ^2(a+b x) \sinh (a+b x)}{x^2} \, dx","Int[(Cosh[a + b*x]^2*Sinh[a + b*x])/x^2,x]","\frac{1}{4} b \cosh (a) \text{Chi}(b x)+\frac{3}{4} b \cosh (3 a) \text{Chi}(3 b x)+\frac{1}{4} b \sinh (a) \text{Shi}(b x)+\frac{3}{4} b \sinh (3 a) \text{Shi}(3 b x)-\frac{\sinh (a+b x)}{4 x}-\frac{\sinh (3 a+3 b x)}{4 x}","\frac{1}{4} b \cosh (a) \text{Chi}(b x)+\frac{3}{4} b \cosh (3 a) \text{Chi}(3 b x)+\frac{1}{4} b \sinh (a) \text{Shi}(b x)+\frac{3}{4} b \sinh (3 a) \text{Shi}(3 b x)-\frac{\sinh (a+b x)}{4 x}-\frac{\sinh (3 a+3 b x)}{4 x}",1,"(b*Cosh[a]*CoshIntegral[b*x])/4 + (3*b*Cosh[3*a]*CoshIntegral[3*b*x])/4 - Sinh[a + b*x]/(4*x) - Sinh[3*a + 3*b*x]/(4*x) + (b*Sinh[a]*SinhIntegral[b*x])/4 + (3*b*Sinh[3*a]*SinhIntegral[3*b*x])/4","A",10,5,18,0.2778,1,"{5448, 3297, 3303, 3298, 3301}"
266,1,119,0,0.2488093,"\int \frac{\cosh ^2(a+b x) \sinh (a+b x)}{x^3} \, dx","Int[(Cosh[a + b*x]^2*Sinh[a + b*x])/x^3,x]","\frac{1}{8} b^2 \sinh (a) \text{Chi}(b x)+\frac{9}{8} b^2 \sinh (3 a) \text{Chi}(3 b x)+\frac{1}{8} b^2 \cosh (a) \text{Shi}(b x)+\frac{9}{8} b^2 \cosh (3 a) \text{Shi}(3 b x)-\frac{\sinh (a+b x)}{8 x^2}-\frac{\sinh (3 a+3 b x)}{8 x^2}-\frac{b \cosh (a+b x)}{8 x}-\frac{3 b \cosh (3 a+3 b x)}{8 x}","\frac{1}{8} b^2 \sinh (a) \text{Chi}(b x)+\frac{9}{8} b^2 \sinh (3 a) \text{Chi}(3 b x)+\frac{1}{8} b^2 \cosh (a) \text{Shi}(b x)+\frac{9}{8} b^2 \cosh (3 a) \text{Shi}(3 b x)-\frac{\sinh (a+b x)}{8 x^2}-\frac{\sinh (3 a+3 b x)}{8 x^2}-\frac{b \cosh (a+b x)}{8 x}-\frac{3 b \cosh (3 a+3 b x)}{8 x}",1,"-(b*Cosh[a + b*x])/(8*x) - (3*b*Cosh[3*a + 3*b*x])/(8*x) + (b^2*CoshIntegral[b*x]*Sinh[a])/8 + (9*b^2*CoshIntegral[3*b*x]*Sinh[3*a])/8 - Sinh[a + b*x]/(8*x^2) - Sinh[3*a + 3*b*x]/(8*x^2) + (b^2*Cosh[a]*SinhIntegral[b*x])/8 + (9*b^2*Cosh[3*a]*SinhIntegral[3*b*x])/8","A",12,5,18,0.2778,1,"{5448, 3297, 3303, 3298, 3301}"
267,1,154,0,0.2894925,"\int \frac{\cosh ^2(a+b x) \sinh (a+b x)}{x^4} \, dx","Int[(Cosh[a + b*x]^2*Sinh[a + b*x])/x^4,x]","\frac{1}{24} b^3 \cosh (a) \text{Chi}(b x)+\frac{9}{8} b^3 \cosh (3 a) \text{Chi}(3 b x)+\frac{1}{24} b^3 \sinh (a) \text{Shi}(b x)+\frac{9}{8} b^3 \sinh (3 a) \text{Shi}(3 b x)-\frac{b^2 \sinh (a+b x)}{24 x}-\frac{3 b^2 \sinh (3 a+3 b x)}{8 x}-\frac{\sinh (a+b x)}{12 x^3}-\frac{\sinh (3 a+3 b x)}{12 x^3}-\frac{b \cosh (a+b x)}{24 x^2}-\frac{b \cosh (3 a+3 b x)}{8 x^2}","\frac{1}{24} b^3 \cosh (a) \text{Chi}(b x)+\frac{9}{8} b^3 \cosh (3 a) \text{Chi}(3 b x)+\frac{1}{24} b^3 \sinh (a) \text{Shi}(b x)+\frac{9}{8} b^3 \sinh (3 a) \text{Shi}(3 b x)-\frac{b^2 \sinh (a+b x)}{24 x}-\frac{3 b^2 \sinh (3 a+3 b x)}{8 x}-\frac{\sinh (a+b x)}{12 x^3}-\frac{\sinh (3 a+3 b x)}{12 x^3}-\frac{b \cosh (a+b x)}{24 x^2}-\frac{b \cosh (3 a+3 b x)}{8 x^2}",1,"-(b*Cosh[a + b*x])/(24*x^2) - (b*Cosh[3*a + 3*b*x])/(8*x^2) + (b^3*Cosh[a]*CoshIntegral[b*x])/24 + (9*b^3*Cosh[3*a]*CoshIntegral[3*b*x])/8 - Sinh[a + b*x]/(12*x^3) - (b^2*Sinh[a + b*x])/(24*x) - Sinh[3*a + 3*b*x]/(12*x^3) - (3*b^2*Sinh[3*a + 3*b*x])/(8*x) + (b^3*Sinh[a]*SinhIntegral[b*x])/24 + (9*b^3*Sinh[3*a]*SinhIntegral[3*b*x])/8","A",14,5,18,0.2778,1,"{5448, 3297, 3303, 3298, 3301}"
268,1,139,0,0.2373332,"\int x^m \cosh ^3(a+b x) \sinh (a+b x) \, dx","Int[x^m*Cosh[a + b*x]^3*Sinh[a + b*x],x]","\frac{e^{4 a} 2^{-2 (m+3)} x^m (-b x)^{-m} \text{Gamma}(m+1,-4 b x)}{b}+\frac{e^{2 a} 2^{-m-4} x^m (-b x)^{-m} \text{Gamma}(m+1,-2 b x)}{b}+\frac{e^{-2 a} 2^{-m-4} x^m (b x)^{-m} \text{Gamma}(m+1,2 b x)}{b}+\frac{e^{-4 a} 2^{-2 (m+3)} x^m (b x)^{-m} \text{Gamma}(m+1,4 b x)}{b}","\frac{e^{4 a} 2^{-2 (m+3)} x^m (-b x)^{-m} \text{Gamma}(m+1,-4 b x)}{b}+\frac{e^{2 a} 2^{-m-4} x^m (-b x)^{-m} \text{Gamma}(m+1,-2 b x)}{b}+\frac{e^{-2 a} 2^{-m-4} x^m (b x)^{-m} \text{Gamma}(m+1,2 b x)}{b}+\frac{e^{-4 a} 2^{-2 (m+3)} x^m (b x)^{-m} \text{Gamma}(m+1,4 b x)}{b}",1,"(E^(4*a)*x^m*Gamma[1 + m, -4*b*x])/(2^(2*(3 + m))*b*(-(b*x))^m) + (2^(-4 - m)*E^(2*a)*x^m*Gamma[1 + m, -2*b*x])/(b*(-(b*x))^m) + (2^(-4 - m)*x^m*Gamma[1 + m, 2*b*x])/(b*E^(2*a)*(b*x)^m) + (x^m*Gamma[1 + m, 4*b*x])/(2^(2*(3 + m))*b*E^(4*a)*(b*x)^m)","A",8,3,18,0.1667,1,"{5448, 3308, 2181}"
269,1,155,0,0.1412974,"\int x^3 \cosh ^3(a+b x) \sinh (a+b x) \, dx","Int[x^3*Cosh[a + b*x]^3*Sinh[a + b*x],x]","-\frac{3 x^2 \sinh (a+b x) \cosh ^3(a+b x)}{16 b^2}-\frac{9 x^2 \sinh (a+b x) \cosh (a+b x)}{32 b^2}+\frac{3 x \cosh ^4(a+b x)}{32 b^3}+\frac{9 x \cosh ^2(a+b x)}{32 b^3}-\frac{3 \sinh (a+b x) \cosh ^3(a+b x)}{128 b^4}-\frac{45 \sinh (a+b x) \cosh (a+b x)}{256 b^4}+\frac{x^3 \cosh ^4(a+b x)}{4 b}-\frac{45 x}{256 b^3}-\frac{3 x^3}{32 b}","-\frac{3 x^2 \sinh (a+b x) \cosh ^3(a+b x)}{16 b^2}-\frac{9 x^2 \sinh (a+b x) \cosh (a+b x)}{32 b^2}+\frac{3 x \cosh ^4(a+b x)}{32 b^3}+\frac{9 x \cosh ^2(a+b x)}{32 b^3}-\frac{3 \sinh (a+b x) \cosh ^3(a+b x)}{128 b^4}-\frac{45 \sinh (a+b x) \cosh (a+b x)}{256 b^4}+\frac{x^3 \cosh ^4(a+b x)}{4 b}-\frac{45 x}{256 b^3}-\frac{3 x^3}{32 b}",1,"(-45*x)/(256*b^3) - (3*x^3)/(32*b) + (9*x*Cosh[a + b*x]^2)/(32*b^3) + (3*x*Cosh[a + b*x]^4)/(32*b^3) + (x^3*Cosh[a + b*x]^4)/(4*b) - (45*Cosh[a + b*x]*Sinh[a + b*x])/(256*b^4) - (9*x^2*Cosh[a + b*x]*Sinh[a + b*x])/(32*b^2) - (3*Cosh[a + b*x]^3*Sinh[a + b*x])/(128*b^4) - (3*x^2*Cosh[a + b*x]^3*Sinh[a + b*x])/(16*b^2)","A",9,5,18,0.2778,1,"{5373, 3311, 30, 2635, 8}"
270,1,101,0,0.0760245,"\int x^2 \cosh ^3(a+b x) \sinh (a+b x) \, dx","Int[x^2*Cosh[a + b*x]^3*Sinh[a + b*x],x]","\frac{\cosh ^4(a+b x)}{32 b^3}+\frac{3 \cosh ^2(a+b x)}{32 b^3}-\frac{x \sinh (a+b x) \cosh ^3(a+b x)}{8 b^2}-\frac{3 x \sinh (a+b x) \cosh (a+b x)}{16 b^2}+\frac{x^2 \cosh ^4(a+b x)}{4 b}-\frac{3 x^2}{32 b}","\frac{\cosh ^4(a+b x)}{32 b^3}+\frac{3 \cosh ^2(a+b x)}{32 b^3}-\frac{x \sinh (a+b x) \cosh ^3(a+b x)}{8 b^2}-\frac{3 x \sinh (a+b x) \cosh (a+b x)}{16 b^2}+\frac{x^2 \cosh ^4(a+b x)}{4 b}-\frac{3 x^2}{32 b}",1,"(-3*x^2)/(32*b) + (3*Cosh[a + b*x]^2)/(32*b^3) + Cosh[a + b*x]^4/(32*b^3) + (x^2*Cosh[a + b*x]^4)/(4*b) - (3*x*Cosh[a + b*x]*Sinh[a + b*x])/(16*b^2) - (x*Cosh[a + b*x]^3*Sinh[a + b*x])/(8*b^2)","A",4,3,18,0.1667,1,"{5373, 3310, 30}"
271,1,65,0,0.042589,"\int x \cosh ^3(a+b x) \sinh (a+b x) \, dx","Int[x*Cosh[a + b*x]^3*Sinh[a + b*x],x]","-\frac{\sinh (a+b x) \cosh ^3(a+b x)}{16 b^2}-\frac{3 \sinh (a+b x) \cosh (a+b x)}{32 b^2}+\frac{x \cosh ^4(a+b x)}{4 b}-\frac{3 x}{32 b}","-\frac{\sinh (a+b x) \cosh ^3(a+b x)}{16 b^2}-\frac{3 \sinh (a+b x) \cosh (a+b x)}{32 b^2}+\frac{x \cosh ^4(a+b x)}{4 b}-\frac{3 x}{32 b}",1,"(-3*x)/(32*b) + (x*Cosh[a + b*x]^4)/(4*b) - (3*Cosh[a + b*x]*Sinh[a + b*x])/(32*b^2) - (Cosh[a + b*x]^3*Sinh[a + b*x])/(16*b^2)","A",4,3,16,0.1875,1,"{5373, 2635, 8}"
272,1,15,0,0.0202069,"\int \cosh ^3(a+b x) \sinh (a+b x) \, dx","Int[Cosh[a + b*x]^3*Sinh[a + b*x],x]","\frac{\cosh ^4(a+b x)}{4 b}","\frac{\cosh ^4(a+b x)}{4 b}",1,"Cosh[a + b*x]^4/(4*b)","A",2,2,15,0.1333,1,"{2565, 30}"
273,1,53,0,0.1405603,"\int \frac{\cosh ^3(a+b x) \sinh (a+b x)}{x} \, dx","Int[(Cosh[a + b*x]^3*Sinh[a + b*x])/x,x]","\frac{1}{4} \sinh (2 a) \text{Chi}(2 b x)+\frac{1}{8} \sinh (4 a) \text{Chi}(4 b x)+\frac{1}{4} \cosh (2 a) \text{Shi}(2 b x)+\frac{1}{8} \cosh (4 a) \text{Shi}(4 b x)","\frac{1}{4} \sinh (2 a) \text{Chi}(2 b x)+\frac{1}{8} \sinh (4 a) \text{Chi}(4 b x)+\frac{1}{4} \cosh (2 a) \text{Shi}(2 b x)+\frac{1}{8} \cosh (4 a) \text{Shi}(4 b x)",1,"(CoshIntegral[2*b*x]*Sinh[2*a])/4 + (CoshIntegral[4*b*x]*Sinh[4*a])/8 + (Cosh[2*a]*SinhIntegral[2*b*x])/4 + (Cosh[4*a]*SinhIntegral[4*b*x])/8","A",8,4,18,0.2222,1,"{5448, 3303, 3298, 3301}"
274,1,89,0,0.1891746,"\int \frac{\cosh ^3(a+b x) \sinh (a+b x)}{x^2} \, dx","Int[(Cosh[a + b*x]^3*Sinh[a + b*x])/x^2,x]","\frac{1}{2} b \cosh (2 a) \text{Chi}(2 b x)+\frac{1}{2} b \cosh (4 a) \text{Chi}(4 b x)+\frac{1}{2} b \sinh (2 a) \text{Shi}(2 b x)+\frac{1}{2} b \sinh (4 a) \text{Shi}(4 b x)-\frac{\sinh (2 a+2 b x)}{4 x}-\frac{\sinh (4 a+4 b x)}{8 x}","\frac{1}{2} b \cosh (2 a) \text{Chi}(2 b x)+\frac{1}{2} b \cosh (4 a) \text{Chi}(4 b x)+\frac{1}{2} b \sinh (2 a) \text{Shi}(2 b x)+\frac{1}{2} b \sinh (4 a) \text{Shi}(4 b x)-\frac{\sinh (2 a+2 b x)}{4 x}-\frac{\sinh (4 a+4 b x)}{8 x}",1,"(b*Cosh[2*a]*CoshIntegral[2*b*x])/2 + (b*Cosh[4*a]*CoshIntegral[4*b*x])/2 - Sinh[2*a + 2*b*x]/(4*x) - Sinh[4*a + 4*b*x]/(8*x) + (b*Sinh[2*a]*SinhIntegral[2*b*x])/2 + (b*Sinh[4*a]*SinhIntegral[4*b*x])/2","A",10,5,18,0.2778,1,"{5448, 3297, 3303, 3298, 3301}"
275,1,125,0,0.2476225,"\int \frac{\cosh ^3(a+b x) \sinh (a+b x)}{x^3} \, dx","Int[(Cosh[a + b*x]^3*Sinh[a + b*x])/x^3,x]","\frac{1}{2} b^2 \sinh (2 a) \text{Chi}(2 b x)+b^2 \sinh (4 a) \text{Chi}(4 b x)+\frac{1}{2} b^2 \cosh (2 a) \text{Shi}(2 b x)+b^2 \cosh (4 a) \text{Shi}(4 b x)-\frac{\sinh (2 a+2 b x)}{8 x^2}-\frac{\sinh (4 a+4 b x)}{16 x^2}-\frac{b \cosh (2 a+2 b x)}{4 x}-\frac{b \cosh (4 a+4 b x)}{4 x}","\frac{1}{2} b^2 \sinh (2 a) \text{Chi}(2 b x)+b^2 \sinh (4 a) \text{Chi}(4 b x)+\frac{1}{2} b^2 \cosh (2 a) \text{Shi}(2 b x)+b^2 \cosh (4 a) \text{Shi}(4 b x)-\frac{\sinh (2 a+2 b x)}{8 x^2}-\frac{\sinh (4 a+4 b x)}{16 x^2}-\frac{b \cosh (2 a+2 b x)}{4 x}-\frac{b \cosh (4 a+4 b x)}{4 x}",1,"-(b*Cosh[2*a + 2*b*x])/(4*x) - (b*Cosh[4*a + 4*b*x])/(4*x) + (b^2*CoshIntegral[2*b*x]*Sinh[2*a])/2 + b^2*CoshIntegral[4*b*x]*Sinh[4*a] - Sinh[2*a + 2*b*x]/(8*x^2) - Sinh[4*a + 4*b*x]/(16*x^2) + (b^2*Cosh[2*a]*SinhIntegral[2*b*x])/2 + b^2*Cosh[4*a]*SinhIntegral[4*b*x]","A",12,5,18,0.2778,1,"{5448, 3297, 3303, 3298, 3301}"
276,1,169,0,0.2971903,"\int \frac{\cosh ^3(a+b x) \sinh (a+b x)}{x^4} \, dx","Int[(Cosh[a + b*x]^3*Sinh[a + b*x])/x^4,x]","\frac{1}{3} b^3 \cosh (2 a) \text{Chi}(2 b x)+\frac{4}{3} b^3 \cosh (4 a) \text{Chi}(4 b x)+\frac{1}{3} b^3 \sinh (2 a) \text{Shi}(2 b x)+\frac{4}{3} b^3 \sinh (4 a) \text{Shi}(4 b x)-\frac{b^2 \sinh (2 a+2 b x)}{6 x}-\frac{b^2 \sinh (4 a+4 b x)}{3 x}-\frac{\sinh (2 a+2 b x)}{12 x^3}-\frac{\sinh (4 a+4 b x)}{24 x^3}-\frac{b \cosh (2 a+2 b x)}{12 x^2}-\frac{b \cosh (4 a+4 b x)}{12 x^2}","\frac{1}{3} b^3 \cosh (2 a) \text{Chi}(2 b x)+\frac{4}{3} b^3 \cosh (4 a) \text{Chi}(4 b x)+\frac{1}{3} b^3 \sinh (2 a) \text{Shi}(2 b x)+\frac{4}{3} b^3 \sinh (4 a) \text{Shi}(4 b x)-\frac{b^2 \sinh (2 a+2 b x)}{6 x}-\frac{b^2 \sinh (4 a+4 b x)}{3 x}-\frac{\sinh (2 a+2 b x)}{12 x^3}-\frac{\sinh (4 a+4 b x)}{24 x^3}-\frac{b \cosh (2 a+2 b x)}{12 x^2}-\frac{b \cosh (4 a+4 b x)}{12 x^2}",1,"-(b*Cosh[2*a + 2*b*x])/(12*x^2) - (b*Cosh[4*a + 4*b*x])/(12*x^2) + (b^3*Cosh[2*a]*CoshIntegral[2*b*x])/3 + (4*b^3*Cosh[4*a]*CoshIntegral[4*b*x])/3 - Sinh[2*a + 2*b*x]/(12*x^3) - (b^2*Sinh[2*a + 2*b*x])/(6*x) - Sinh[4*a + 4*b*x]/(24*x^3) - (b^2*Sinh[4*a + 4*b*x])/(3*x) + (b^3*Sinh[2*a]*SinhIntegral[2*b*x])/3 + (4*b^3*Sinh[4*a]*SinhIntegral[4*b*x])/3","A",14,5,18,0.2778,1,"{5448, 3297, 3303, 3298, 3301}"
277,1,8,0,0.0301795,"\int \frac{\cosh (x) \sinh (x)}{x} \, dx","Int[(Cosh[x]*Sinh[x])/x,x]","\frac{\text{Shi}(2 x)}{2}","\frac{\text{Shi}(2 x)}{2}",1,"SinhIntegral[2*x]/2","A",3,3,8,0.3750,1,"{5448, 12, 3298}"
278,1,16,0,0.0474439,"\int \frac{\cosh (x) \sinh (x)}{x^2} \, dx","Int[(Cosh[x]*Sinh[x])/x^2,x]","\text{Chi}(2 x)-\frac{\sinh (2 x)}{2 x}","\text{Chi}(2 x)-\frac{\sinh (2 x)}{2 x}",1,"CoshIntegral[2*x] - Sinh[2*x]/(2*x)","A",4,4,8,0.5000,1,"{5448, 12, 3297, 3301}"
279,1,27,0,0.0629465,"\int \frac{\cosh (x) \sinh (x)}{x^3} \, dx","Int[(Cosh[x]*Sinh[x])/x^3,x]","\text{Shi}(2 x)-\frac{\sinh (2 x)}{4 x^2}-\frac{\cosh (2 x)}{2 x}","\text{Shi}(2 x)-\frac{\sinh (2 x)}{4 x^2}-\frac{\cosh (2 x)}{2 x}",1,"-Cosh[2*x]/(2*x) - Sinh[2*x]/(4*x^2) + SinhIntegral[2*x]","A",5,4,8,0.5000,1,"{5448, 12, 3297, 3298}"
280,1,134,0,0.1834571,"\int x^m \cosh (a+b x) \sinh ^2(a+b x) \, dx","Int[x^m*Cosh[a + b*x]*Sinh[a + b*x]^2,x]","\frac{e^{3 a} 3^{-m-1} x^m (-b x)^{-m} \text{Gamma}(m+1,-3 b x)}{8 b}-\frac{e^a x^m (-b x)^{-m} \text{Gamma}(m+1,-b x)}{8 b}+\frac{e^{-a} x^m (b x)^{-m} \text{Gamma}(m+1,b x)}{8 b}-\frac{e^{-3 a} 3^{-m-1} x^m (b x)^{-m} \text{Gamma}(m+1,3 b x)}{8 b}","\frac{e^{3 a} 3^{-m-1} x^m (-b x)^{-m} \text{Gamma}(m+1,-3 b x)}{8 b}-\frac{e^a x^m (-b x)^{-m} \text{Gamma}(m+1,-b x)}{8 b}+\frac{e^{-a} x^m (b x)^{-m} \text{Gamma}(m+1,b x)}{8 b}-\frac{e^{-3 a} 3^{-m-1} x^m (b x)^{-m} \text{Gamma}(m+1,3 b x)}{8 b}",1,"(3^(-1 - m)*E^(3*a)*x^m*Gamma[1 + m, -3*b*x])/(8*b*(-(b*x))^m) - (E^a*x^m*Gamma[1 + m, -(b*x)])/(8*b*(-(b*x))^m) + (x^m*Gamma[1 + m, b*x])/(8*b*E^a*(b*x)^m) - (3^(-1 - m)*x^m*Gamma[1 + m, 3*b*x])/(8*b*E^(3*a)*(b*x)^m)","A",8,3,18,0.1667,1,"{5448, 3307, 2181}"
281,1,117,0,0.1448803,"\int x^3 \cosh (a+b x) \sinh ^2(a+b x) \, dx","Int[x^3*Cosh[a + b*x]*Sinh[a + b*x]^2,x]","\frac{2 x^2 \cosh (a+b x)}{3 b^2}-\frac{x^2 \sinh ^2(a+b x) \cosh (a+b x)}{3 b^2}+\frac{2 x \sinh ^3(a+b x)}{9 b^3}-\frac{4 x \sinh (a+b x)}{3 b^3}-\frac{2 \cosh ^3(a+b x)}{27 b^4}+\frac{14 \cosh (a+b x)}{9 b^4}+\frac{x^3 \sinh ^3(a+b x)}{3 b}","\frac{2 x^2 \cosh (a+b x)}{3 b^2}-\frac{x^2 \sinh ^2(a+b x) \cosh (a+b x)}{3 b^2}+\frac{2 x \sinh ^3(a+b x)}{9 b^3}-\frac{4 x \sinh (a+b x)}{3 b^3}-\frac{2 \cosh ^3(a+b x)}{27 b^4}+\frac{14 \cosh (a+b x)}{9 b^4}+\frac{x^3 \sinh ^3(a+b x)}{3 b}",1,"(14*Cosh[a + b*x])/(9*b^4) + (2*x^2*Cosh[a + b*x])/(3*b^2) - (2*Cosh[a + b*x]^3)/(27*b^4) - (4*x*Sinh[a + b*x])/(3*b^3) - (x^2*Cosh[a + b*x]*Sinh[a + b*x]^2)/(3*b^2) + (2*x*Sinh[a + b*x]^3)/(9*b^3) + (x^3*Sinh[a + b*x]^3)/(3*b)","A",7,5,18,0.2778,1,"{5372, 3311, 3296, 2638, 2633}"
282,1,83,0,0.07921,"\int x^2 \cosh (a+b x) \sinh ^2(a+b x) \, dx","Int[x^2*Cosh[a + b*x]*Sinh[a + b*x]^2,x]","\frac{2 \sinh ^3(a+b x)}{27 b^3}-\frac{4 \sinh (a+b x)}{9 b^3}+\frac{4 x \cosh (a+b x)}{9 b^2}-\frac{2 x \sinh ^2(a+b x) \cosh (a+b x)}{9 b^2}+\frac{x^2 \sinh ^3(a+b x)}{3 b}","\frac{2 \sinh ^3(a+b x)}{27 b^3}-\frac{4 \sinh (a+b x)}{9 b^3}+\frac{4 x \cosh (a+b x)}{9 b^2}-\frac{2 x \sinh ^2(a+b x) \cosh (a+b x)}{9 b^2}+\frac{x^2 \sinh ^3(a+b x)}{3 b}",1,"(4*x*Cosh[a + b*x])/(9*b^2) - (4*Sinh[a + b*x])/(9*b^3) - (2*x*Cosh[a + b*x]*Sinh[a + b*x]^2)/(9*b^2) + (2*Sinh[a + b*x]^3)/(27*b^3) + (x^2*Sinh[a + b*x]^3)/(3*b)","A",4,4,18,0.2222,1,"{5372, 3310, 3296, 2637}"
283,1,45,0,0.0347695,"\int x \cosh (a+b x) \sinh ^2(a+b x) \, dx","Int[x*Cosh[a + b*x]*Sinh[a + b*x]^2,x]","-\frac{\cosh ^3(a+b x)}{9 b^2}+\frac{\cosh (a+b x)}{3 b^2}+\frac{x \sinh ^3(a+b x)}{3 b}","-\frac{\cosh ^3(a+b x)}{9 b^2}+\frac{\cosh (a+b x)}{3 b^2}+\frac{x \sinh ^3(a+b x)}{3 b}",1,"Cosh[a + b*x]/(3*b^2) - Cosh[a + b*x]^3/(9*b^2) + (x*Sinh[a + b*x]^3)/(3*b)","A",3,2,16,0.1250,1,"{5372, 2633}"
284,1,15,0,0.0183197,"\int \cosh (a+b x) \sinh ^2(a+b x) \, dx","Int[Cosh[a + b*x]*Sinh[a + b*x]^2,x]","\frac{\sinh ^3(a+b x)}{3 b}","\frac{\sinh ^3(a+b x)}{3 b}",1,"Sinh[a + b*x]^3/(3*b)","A",2,2,15,0.1333,1,"{2564, 30}"
285,1,47,0,0.122942,"\int \frac{\cosh (a+b x) \sinh ^2(a+b x)}{x} \, dx","Int[(Cosh[a + b*x]*Sinh[a + b*x]^2)/x,x]","-\frac{1}{4} \cosh (a) \text{Chi}(b x)+\frac{1}{4} \cosh (3 a) \text{Chi}(3 b x)-\frac{1}{4} \sinh (a) \text{Shi}(b x)+\frac{1}{4} \sinh (3 a) \text{Shi}(3 b x)","-\frac{1}{4} \cosh (a) \text{Chi}(b x)+\frac{1}{4} \cosh (3 a) \text{Chi}(3 b x)-\frac{1}{4} \sinh (a) \text{Shi}(b x)+\frac{1}{4} \sinh (3 a) \text{Shi}(3 b x)",1,"-(Cosh[a]*CoshIntegral[b*x])/4 + (Cosh[3*a]*CoshIntegral[3*b*x])/4 - (Sinh[a]*SinhIntegral[b*x])/4 + (Sinh[3*a]*SinhIntegral[3*b*x])/4","A",8,4,18,0.2222,1,"{5448, 3303, 3298, 3301}"
286,1,80,0,0.1673799,"\int \frac{\cosh (a+b x) \sinh ^2(a+b x)}{x^2} \, dx","Int[(Cosh[a + b*x]*Sinh[a + b*x]^2)/x^2,x]","-\frac{1}{4} b \sinh (a) \text{Chi}(b x)+\frac{3}{4} b \sinh (3 a) \text{Chi}(3 b x)-\frac{1}{4} b \cosh (a) \text{Shi}(b x)+\frac{3}{4} b \cosh (3 a) \text{Shi}(3 b x)+\frac{\cosh (a+b x)}{4 x}-\frac{\cosh (3 a+3 b x)}{4 x}","-\frac{1}{4} b \sinh (a) \text{Chi}(b x)+\frac{3}{4} b \sinh (3 a) \text{Chi}(3 b x)-\frac{1}{4} b \cosh (a) \text{Shi}(b x)+\frac{3}{4} b \cosh (3 a) \text{Shi}(3 b x)+\frac{\cosh (a+b x)}{4 x}-\frac{\cosh (3 a+3 b x)}{4 x}",1,"Cosh[a + b*x]/(4*x) - Cosh[3*a + 3*b*x]/(4*x) - (b*CoshIntegral[b*x]*Sinh[a])/4 + (3*b*CoshIntegral[3*b*x]*Sinh[3*a])/4 - (b*Cosh[a]*SinhIntegral[b*x])/4 + (3*b*Cosh[3*a]*SinhIntegral[3*b*x])/4","A",10,5,18,0.2778,1,"{5448, 3297, 3303, 3298, 3301}"
287,1,119,0,0.217915,"\int \frac{\cosh (a+b x) \sinh ^2(a+b x)}{x^3} \, dx","Int[(Cosh[a + b*x]*Sinh[a + b*x]^2)/x^3,x]","-\frac{1}{8} b^2 \cosh (a) \text{Chi}(b x)+\frac{9}{8} b^2 \cosh (3 a) \text{Chi}(3 b x)-\frac{1}{8} b^2 \sinh (a) \text{Shi}(b x)+\frac{9}{8} b^2 \sinh (3 a) \text{Shi}(3 b x)+\frac{\cosh (a+b x)}{8 x^2}-\frac{\cosh (3 a+3 b x)}{8 x^2}+\frac{b \sinh (a+b x)}{8 x}-\frac{3 b \sinh (3 a+3 b x)}{8 x}","-\frac{1}{8} b^2 \cosh (a) \text{Chi}(b x)+\frac{9}{8} b^2 \cosh (3 a) \text{Chi}(3 b x)-\frac{1}{8} b^2 \sinh (a) \text{Shi}(b x)+\frac{9}{8} b^2 \sinh (3 a) \text{Shi}(3 b x)+\frac{\cosh (a+b x)}{8 x^2}-\frac{\cosh (3 a+3 b x)}{8 x^2}+\frac{b \sinh (a+b x)}{8 x}-\frac{3 b \sinh (3 a+3 b x)}{8 x}",1,"Cosh[a + b*x]/(8*x^2) - Cosh[3*a + 3*b*x]/(8*x^2) - (b^2*Cosh[a]*CoshIntegral[b*x])/8 + (9*b^2*Cosh[3*a]*CoshIntegral[3*b*x])/8 + (b*Sinh[a + b*x])/(8*x) - (3*b*Sinh[3*a + 3*b*x])/(8*x) - (b^2*Sinh[a]*SinhIntegral[b*x])/8 + (9*b^2*Sinh[3*a]*SinhIntegral[3*b*x])/8","A",12,5,18,0.2778,1,"{5448, 3297, 3303, 3298, 3301}"
288,1,154,0,0.2813349,"\int \frac{\cosh (a+b x) \sinh ^2(a+b x)}{x^4} \, dx","Int[(Cosh[a + b*x]*Sinh[a + b*x]^2)/x^4,x]","-\frac{1}{24} b^3 \sinh (a) \text{Chi}(b x)+\frac{9}{8} b^3 \sinh (3 a) \text{Chi}(3 b x)-\frac{1}{24} b^3 \cosh (a) \text{Shi}(b x)+\frac{9}{8} b^3 \cosh (3 a) \text{Shi}(3 b x)+\frac{b^2 \cosh (a+b x)}{24 x}-\frac{3 b^2 \cosh (3 a+3 b x)}{8 x}+\frac{b \sinh (a+b x)}{24 x^2}-\frac{b \sinh (3 a+3 b x)}{8 x^2}+\frac{\cosh (a+b x)}{12 x^3}-\frac{\cosh (3 a+3 b x)}{12 x^3}","-\frac{1}{24} b^3 \sinh (a) \text{Chi}(b x)+\frac{9}{8} b^3 \sinh (3 a) \text{Chi}(3 b x)-\frac{1}{24} b^3 \cosh (a) \text{Shi}(b x)+\frac{9}{8} b^3 \cosh (3 a) \text{Shi}(3 b x)+\frac{b^2 \cosh (a+b x)}{24 x}-\frac{3 b^2 \cosh (3 a+3 b x)}{8 x}+\frac{b \sinh (a+b x)}{24 x^2}-\frac{b \sinh (3 a+3 b x)}{8 x^2}+\frac{\cosh (a+b x)}{12 x^3}-\frac{\cosh (3 a+3 b x)}{12 x^3}",1,"Cosh[a + b*x]/(12*x^3) + (b^2*Cosh[a + b*x])/(24*x) - Cosh[3*a + 3*b*x]/(12*x^3) - (3*b^2*Cosh[3*a + 3*b*x])/(8*x) - (b^3*CoshIntegral[b*x]*Sinh[a])/24 + (9*b^3*CoshIntegral[3*b*x]*Sinh[3*a])/8 + (b*Sinh[a + b*x])/(24*x^2) - (b*Sinh[3*a + 3*b*x])/(8*x^2) - (b^3*Cosh[a]*SinhIntegral[b*x])/24 + (9*b^3*Cosh[3*a]*SinhIntegral[3*b*x])/8","A",14,5,18,0.2778,1,"{5448, 3297, 3303, 3298, 3301}"
289,1,85,0,0.1278898,"\int x^m \cosh ^2(a+b x) \sinh ^2(a+b x) \, dx","Int[x^m*Cosh[a + b*x]^2*Sinh[a + b*x]^2,x]","\frac{e^{4 a} 2^{-2 (m+3)} x^m (-b x)^{-m} \text{Gamma}(m+1,-4 b x)}{b}-\frac{e^{-4 a} 2^{-2 (m+3)} x^m (b x)^{-m} \text{Gamma}(m+1,4 b x)}{b}-\frac{x^{m+1}}{8 (m+1)}","\frac{e^{4 a} 2^{-2 (m+3)} x^m (-b x)^{-m} \text{Gamma}(m+1,-4 b x)}{b}-\frac{e^{-4 a} 2^{-2 (m+3)} x^m (b x)^{-m} \text{Gamma}(m+1,4 b x)}{b}-\frac{x^{m+1}}{8 (m+1)}",1,"-x^(1 + m)/(8*(1 + m)) + (E^(4*a)*x^m*Gamma[1 + m, -4*b*x])/(2^(2*(3 + m))*b*(-(b*x))^m) - (x^m*Gamma[1 + m, 4*b*x])/(2^(2*(3 + m))*b*E^(4*a)*(b*x)^m)","A",5,3,20,0.1500,1,"{5448, 3307, 2181}"
290,1,79,0,0.1141853,"\int x^3 \cosh ^2(a+b x) \sinh ^2(a+b x) \, dx","Int[x^3*Cosh[a + b*x]^2*Sinh[a + b*x]^2,x]","-\frac{3 x^2 \cosh (4 a+4 b x)}{128 b^2}+\frac{3 x \sinh (4 a+4 b x)}{256 b^3}-\frac{3 \cosh (4 a+4 b x)}{1024 b^4}+\frac{x^3 \sinh (4 a+4 b x)}{32 b}-\frac{x^4}{32}","-\frac{3 x^2 \cosh (4 a+4 b x)}{128 b^2}+\frac{3 x \sinh (4 a+4 b x)}{256 b^3}-\frac{3 \cosh (4 a+4 b x)}{1024 b^4}+\frac{x^3 \sinh (4 a+4 b x)}{32 b}-\frac{x^4}{32}",1,"-x^4/32 - (3*Cosh[4*a + 4*b*x])/(1024*b^4) - (3*x^2*Cosh[4*a + 4*b*x])/(128*b^2) + (3*x*Sinh[4*a + 4*b*x])/(256*b^3) + (x^3*Sinh[4*a + 4*b*x])/(32*b)","A",6,3,20,0.1500,1,"{5448, 3296, 2638}"
291,1,60,0,0.10117,"\int x^2 \cosh ^2(a+b x) \sinh ^2(a+b x) \, dx","Int[x^2*Cosh[a + b*x]^2*Sinh[a + b*x]^2,x]","\frac{\sinh (4 a+4 b x)}{256 b^3}-\frac{x \cosh (4 a+4 b x)}{64 b^2}+\frac{x^2 \sinh (4 a+4 b x)}{32 b}-\frac{x^3}{24}","\frac{\sinh (4 a+4 b x)}{256 b^3}-\frac{x \cosh (4 a+4 b x)}{64 b^2}+\frac{x^2 \sinh (4 a+4 b x)}{32 b}-\frac{x^3}{24}",1,"-x^3/24 - (x*Cosh[4*a + 4*b*x])/(64*b^2) + Sinh[4*a + 4*b*x]/(256*b^3) + (x^2*Sinh[4*a + 4*b*x])/(32*b)","A",5,3,20,0.1500,1,"{5448, 3296, 2637}"
292,1,41,0,0.0504448,"\int x \cosh ^2(a+b x) \sinh ^2(a+b x) \, dx","Int[x*Cosh[a + b*x]^2*Sinh[a + b*x]^2,x]","-\frac{\cosh (4 a+4 b x)}{128 b^2}+\frac{x \sinh (4 a+4 b x)}{32 b}-\frac{x^2}{16}","-\frac{\cosh (4 a+4 b x)}{128 b^2}+\frac{x \sinh (4 a+4 b x)}{32 b}-\frac{x^2}{16}",1,"-x^2/16 - Cosh[4*a + 4*b*x]/(128*b^2) + (x*Sinh[4*a + 4*b*x])/(32*b)","A",4,3,18,0.1667,1,"{5448, 3296, 2638}"
293,1,46,0,0.0391155,"\int \cosh ^2(a+b x) \sinh ^2(a+b x) \, dx","Int[Cosh[a + b*x]^2*Sinh[a + b*x]^2,x]","\frac{\sinh (a+b x) \cosh ^3(a+b x)}{4 b}-\frac{\sinh (a+b x) \cosh (a+b x)}{8 b}-\frac{x}{8}","\frac{\sinh (a+b x) \cosh ^3(a+b x)}{4 b}-\frac{\sinh (a+b x) \cosh (a+b x)}{8 b}-\frac{x}{8}",1,"-x/8 - (Cosh[a + b*x]*Sinh[a + b*x])/(8*b) + (Cosh[a + b*x]^3*Sinh[a + b*x])/(4*b)","A",3,3,17,0.1765,1,"{2568, 2635, 8}"
294,1,33,0,0.0848538,"\int \frac{\cosh ^2(a+b x) \sinh ^2(a+b x)}{x} \, dx","Int[(Cosh[a + b*x]^2*Sinh[a + b*x]^2)/x,x]","\frac{1}{8} \cosh (4 a) \text{Chi}(4 b x)+\frac{1}{8} \sinh (4 a) \text{Shi}(4 b x)-\frac{\log (x)}{8}","\frac{1}{8} \cosh (4 a) \text{Chi}(4 b x)+\frac{1}{8} \sinh (4 a) \text{Shi}(4 b x)-\frac{\log (x)}{8}",1,"(Cosh[4*a]*CoshIntegral[4*b*x])/8 - Log[x]/8 + (Sinh[4*a]*SinhIntegral[4*b*x])/8","A",5,4,20,0.2000,1,"{5448, 3303, 3298, 3301}"
295,1,52,0,0.1117483,"\int \frac{\cosh ^2(a+b x) \sinh ^2(a+b x)}{x^2} \, dx","Int[(Cosh[a + b*x]^2*Sinh[a + b*x]^2)/x^2,x]","\frac{1}{2} b \sinh (4 a) \text{Chi}(4 b x)+\frac{1}{2} b \cosh (4 a) \text{Shi}(4 b x)-\frac{\cosh (4 a+4 b x)}{8 x}+\frac{1}{8 x}","\frac{1}{2} b \sinh (4 a) \text{Chi}(4 b x)+\frac{1}{2} b \cosh (4 a) \text{Shi}(4 b x)-\frac{\cosh (4 a+4 b x)}{8 x}+\frac{1}{8 x}",1,"1/(8*x) - Cosh[4*a + 4*b*x]/(8*x) + (b*CoshIntegral[4*b*x]*Sinh[4*a])/2 + (b*Cosh[4*a]*SinhIntegral[4*b*x])/2","A",6,5,20,0.2500,1,"{5448, 3297, 3303, 3298, 3301}"
296,1,67,0,0.1356109,"\int \frac{\cosh ^2(a+b x) \sinh ^2(a+b x)}{x^3} \, dx","Int[(Cosh[a + b*x]^2*Sinh[a + b*x]^2)/x^3,x]","b^2 \cosh (4 a) \text{Chi}(4 b x)+b^2 \sinh (4 a) \text{Shi}(4 b x)-\frac{\cosh (4 a+4 b x)}{16 x^2}-\frac{b \sinh (4 a+4 b x)}{4 x}+\frac{1}{16 x^2}","b^2 \cosh (4 a) \text{Chi}(4 b x)+b^2 \sinh (4 a) \text{Shi}(4 b x)-\frac{\cosh (4 a+4 b x)}{16 x^2}-\frac{b \sinh (4 a+4 b x)}{4 x}+\frac{1}{16 x^2}",1,"1/(16*x^2) - Cosh[4*a + 4*b*x]/(16*x^2) + b^2*Cosh[4*a]*CoshIntegral[4*b*x] - (b*Sinh[4*a + 4*b*x])/(4*x) + b^2*Sinh[4*a]*SinhIntegral[4*b*x]","A",7,5,20,0.2500,1,"{5448, 3297, 3303, 3298, 3301}"
297,1,92,0,0.1695286,"\int \frac{\cosh ^2(a+b x) \sinh ^2(a+b x)}{x^4} \, dx","Int[(Cosh[a + b*x]^2*Sinh[a + b*x]^2)/x^4,x]","\frac{4}{3} b^3 \sinh (4 a) \text{Chi}(4 b x)+\frac{4}{3} b^3 \cosh (4 a) \text{Shi}(4 b x)-\frac{b^2 \cosh (4 a+4 b x)}{3 x}-\frac{b \sinh (4 a+4 b x)}{12 x^2}-\frac{\cosh (4 a+4 b x)}{24 x^3}+\frac{1}{24 x^3}","\frac{4}{3} b^3 \sinh (4 a) \text{Chi}(4 b x)+\frac{4}{3} b^3 \cosh (4 a) \text{Shi}(4 b x)-\frac{b^2 \cosh (4 a+4 b x)}{3 x}-\frac{b \sinh (4 a+4 b x)}{12 x^2}-\frac{\cosh (4 a+4 b x)}{24 x^3}+\frac{1}{24 x^3}",1,"1/(24*x^3) - Cosh[4*a + 4*b*x]/(24*x^3) - (b^2*Cosh[4*a + 4*b*x])/(3*x) + (4*b^3*CoshIntegral[4*b*x]*Sinh[4*a])/3 - (b*Sinh[4*a + 4*b*x])/(12*x^2) + (4*b^3*Cosh[4*a]*SinhIntegral[4*b*x])/3","A",8,5,20,0.2500,1,"{5448, 3297, 3303, 3298, 3301}"
298,1,209,0,0.28686,"\int x^m \cosh ^3(a+b x) \sinh ^2(a+b x) \, dx","Int[x^m*Cosh[a + b*x]^3*Sinh[a + b*x]^2,x]","\frac{e^{5 a} 5^{-m-1} x^m (-b x)^{-m} \text{Gamma}(m+1,-5 b x)}{32 b}+\frac{e^{3 a} 3^{-m-1} x^m (-b x)^{-m} \text{Gamma}(m+1,-3 b x)}{32 b}-\frac{e^a x^m (-b x)^{-m} \text{Gamma}(m+1,-b x)}{16 b}+\frac{e^{-a} x^m (b x)^{-m} \text{Gamma}(m+1,b x)}{16 b}-\frac{e^{-3 a} 3^{-m-1} x^m (b x)^{-m} \text{Gamma}(m+1,3 b x)}{32 b}-\frac{e^{-5 a} 5^{-m-1} x^m (b x)^{-m} \text{Gamma}(m+1,5 b x)}{32 b}","\frac{e^{5 a} 5^{-m-1} x^m (-b x)^{-m} \text{Gamma}(m+1,-5 b x)}{32 b}+\frac{e^{3 a} 3^{-m-1} x^m (-b x)^{-m} \text{Gamma}(m+1,-3 b x)}{32 b}-\frac{e^a x^m (-b x)^{-m} \text{Gamma}(m+1,-b x)}{16 b}+\frac{e^{-a} x^m (b x)^{-m} \text{Gamma}(m+1,b x)}{16 b}-\frac{e^{-3 a} 3^{-m-1} x^m (b x)^{-m} \text{Gamma}(m+1,3 b x)}{32 b}-\frac{e^{-5 a} 5^{-m-1} x^m (b x)^{-m} \text{Gamma}(m+1,5 b x)}{32 b}",1,"(5^(-1 - m)*E^(5*a)*x^m*Gamma[1 + m, -5*b*x])/(32*b*(-(b*x))^m) + (3^(-1 - m)*E^(3*a)*x^m*Gamma[1 + m, -3*b*x])/(32*b*(-(b*x))^m) - (E^a*x^m*Gamma[1 + m, -(b*x)])/(16*b*(-(b*x))^m) + (x^m*Gamma[1 + m, b*x])/(16*b*E^a*(b*x)^m) - (3^(-1 - m)*x^m*Gamma[1 + m, 3*b*x])/(32*b*E^(3*a)*(b*x)^m) - (5^(-1 - m)*x^m*Gamma[1 + m, 5*b*x])/(32*b*E^(5*a)*(b*x)^m)","A",11,3,20,0.1500,1,"{5448, 3307, 2181}"
299,1,202,0,0.2672554,"\int x^3 \cosh ^3(a+b x) \sinh ^2(a+b x) \, dx","Int[x^3*Cosh[a + b*x]^3*Sinh[a + b*x]^2,x]","\frac{3 x^2 \cosh (a+b x)}{8 b^2}-\frac{x^2 \cosh (3 a+3 b x)}{48 b^2}-\frac{3 x^2 \cosh (5 a+5 b x)}{400 b^2}-\frac{3 x \sinh (a+b x)}{4 b^3}+\frac{x \sinh (3 a+3 b x)}{72 b^3}+\frac{3 x \sinh (5 a+5 b x)}{1000 b^3}+\frac{3 \cosh (a+b x)}{4 b^4}-\frac{\cosh (3 a+3 b x)}{216 b^4}-\frac{3 \cosh (5 a+5 b x)}{5000 b^4}-\frac{x^3 \sinh (a+b x)}{8 b}+\frac{x^3 \sinh (3 a+3 b x)}{48 b}+\frac{x^3 \sinh (5 a+5 b x)}{80 b}","\frac{3 x^2 \cosh (a+b x)}{8 b^2}-\frac{x^2 \cosh (3 a+3 b x)}{48 b^2}-\frac{3 x^2 \cosh (5 a+5 b x)}{400 b^2}-\frac{3 x \sinh (a+b x)}{4 b^3}+\frac{x \sinh (3 a+3 b x)}{72 b^3}+\frac{3 x \sinh (5 a+5 b x)}{1000 b^3}+\frac{3 \cosh (a+b x)}{4 b^4}-\frac{\cosh (3 a+3 b x)}{216 b^4}-\frac{3 \cosh (5 a+5 b x)}{5000 b^4}-\frac{x^3 \sinh (a+b x)}{8 b}+\frac{x^3 \sinh (3 a+3 b x)}{48 b}+\frac{x^3 \sinh (5 a+5 b x)}{80 b}",1,"(3*Cosh[a + b*x])/(4*b^4) + (3*x^2*Cosh[a + b*x])/(8*b^2) - Cosh[3*a + 3*b*x]/(216*b^4) - (x^2*Cosh[3*a + 3*b*x])/(48*b^2) - (3*Cosh[5*a + 5*b*x])/(5000*b^4) - (3*x^2*Cosh[5*a + 5*b*x])/(400*b^2) - (3*x*Sinh[a + b*x])/(4*b^3) - (x^3*Sinh[a + b*x])/(8*b) + (x*Sinh[3*a + 3*b*x])/(72*b^3) + (x^3*Sinh[3*a + 3*b*x])/(48*b) + (3*x*Sinh[5*a + 5*b*x])/(1000*b^3) + (x^3*Sinh[5*a + 5*b*x])/(80*b)","A",14,3,20,0.1500,1,"{5448, 3296, 2638}"
300,1,148,0,0.1803729,"\int x^2 \cosh ^3(a+b x) \sinh ^2(a+b x) \, dx","Int[x^2*Cosh[a + b*x]^3*Sinh[a + b*x]^2,x]","-\frac{\sinh (a+b x)}{4 b^3}+\frac{\sinh (3 a+3 b x)}{216 b^3}+\frac{\sinh (5 a+5 b x)}{1000 b^3}+\frac{x \cosh (a+b x)}{4 b^2}-\frac{x \cosh (3 a+3 b x)}{72 b^2}-\frac{x \cosh (5 a+5 b x)}{200 b^2}-\frac{x^2 \sinh (a+b x)}{8 b}+\frac{x^2 \sinh (3 a+3 b x)}{48 b}+\frac{x^2 \sinh (5 a+5 b x)}{80 b}","-\frac{\sinh (a+b x)}{4 b^3}+\frac{\sinh (3 a+3 b x)}{216 b^3}+\frac{\sinh (5 a+5 b x)}{1000 b^3}+\frac{x \cosh (a+b x)}{4 b^2}-\frac{x \cosh (3 a+3 b x)}{72 b^2}-\frac{x \cosh (5 a+5 b x)}{200 b^2}-\frac{x^2 \sinh (a+b x)}{8 b}+\frac{x^2 \sinh (3 a+3 b x)}{48 b}+\frac{x^2 \sinh (5 a+5 b x)}{80 b}",1,"(x*Cosh[a + b*x])/(4*b^2) - (x*Cosh[3*a + 3*b*x])/(72*b^2) - (x*Cosh[5*a + 5*b*x])/(200*b^2) - Sinh[a + b*x]/(4*b^3) - (x^2*Sinh[a + b*x])/(8*b) + Sinh[3*a + 3*b*x]/(216*b^3) + (x^2*Sinh[3*a + 3*b*x])/(48*b) + Sinh[5*a + 5*b*x]/(1000*b^3) + (x^2*Sinh[5*a + 5*b*x])/(80*b)","A",11,3,20,0.1500,1,"{5448, 3296, 2637}"
301,1,94,0,0.0958022,"\int x \cosh ^3(a+b x) \sinh ^2(a+b x) \, dx","Int[x*Cosh[a + b*x]^3*Sinh[a + b*x]^2,x]","\frac{\cosh (a+b x)}{8 b^2}-\frac{\cosh (3 a+3 b x)}{144 b^2}-\frac{\cosh (5 a+5 b x)}{400 b^2}-\frac{x \sinh (a+b x)}{8 b}+\frac{x \sinh (3 a+3 b x)}{48 b}+\frac{x \sinh (5 a+5 b x)}{80 b}","\frac{\cosh (a+b x)}{8 b^2}-\frac{\cosh (3 a+3 b x)}{144 b^2}-\frac{\cosh (5 a+5 b x)}{400 b^2}-\frac{x \sinh (a+b x)}{8 b}+\frac{x \sinh (3 a+3 b x)}{48 b}+\frac{x \sinh (5 a+5 b x)}{80 b}",1,"Cosh[a + b*x]/(8*b^2) - Cosh[3*a + 3*b*x]/(144*b^2) - Cosh[5*a + 5*b*x]/(400*b^2) - (x*Sinh[a + b*x])/(8*b) + (x*Sinh[3*a + 3*b*x])/(48*b) + (x*Sinh[5*a + 5*b*x])/(80*b)","A",8,3,18,0.1667,1,"{5448, 3296, 2638}"
302,1,31,0,0.0329313,"\int \cosh ^3(a+b x) \sinh ^2(a+b x) \, dx","Int[Cosh[a + b*x]^3*Sinh[a + b*x]^2,x]","\frac{\sinh ^5(a+b x)}{5 b}+\frac{\sinh ^3(a+b x)}{3 b}","\frac{\sinh ^5(a+b x)}{5 b}+\frac{\sinh ^3(a+b x)}{3 b}",1,"Sinh[a + b*x]^3/(3*b) + Sinh[a + b*x]^5/(5*b)","A",3,2,17,0.1176,1,"{2564, 14}"
303,1,73,0,0.1900709,"\int \frac{\cosh ^3(a+b x) \sinh ^2(a+b x)}{x} \, dx","Int[(Cosh[a + b*x]^3*Sinh[a + b*x]^2)/x,x]","-\frac{1}{8} \cosh (a) \text{Chi}(b x)+\frac{1}{16} \cosh (3 a) \text{Chi}(3 b x)+\frac{1}{16} \cosh (5 a) \text{Chi}(5 b x)-\frac{1}{8} \sinh (a) \text{Shi}(b x)+\frac{1}{16} \sinh (3 a) \text{Shi}(3 b x)+\frac{1}{16} \sinh (5 a) \text{Shi}(5 b x)","-\frac{1}{8} \cosh (a) \text{Chi}(b x)+\frac{1}{16} \cosh (3 a) \text{Chi}(3 b x)+\frac{1}{16} \cosh (5 a) \text{Chi}(5 b x)-\frac{1}{8} \sinh (a) \text{Shi}(b x)+\frac{1}{16} \sinh (3 a) \text{Shi}(3 b x)+\frac{1}{16} \sinh (5 a) \text{Shi}(5 b x)",1,"-(Cosh[a]*CoshIntegral[b*x])/8 + (Cosh[3*a]*CoshIntegral[3*b*x])/16 + (Cosh[5*a]*CoshIntegral[5*b*x])/16 - (Sinh[a]*SinhIntegral[b*x])/8 + (Sinh[3*a]*SinhIntegral[3*b*x])/16 + (Sinh[5*a]*SinhIntegral[5*b*x])/16","A",11,4,20,0.2000,1,"{5448, 3303, 3298, 3301}"
304,1,124,0,0.2631256,"\int \frac{\cosh ^3(a+b x) \sinh ^2(a+b x)}{x^2} \, dx","Int[(Cosh[a + b*x]^3*Sinh[a + b*x]^2)/x^2,x]","-\frac{1}{8} b \sinh (a) \text{Chi}(b x)+\frac{3}{16} b \sinh (3 a) \text{Chi}(3 b x)+\frac{5}{16} b \sinh (5 a) \text{Chi}(5 b x)-\frac{1}{8} b \cosh (a) \text{Shi}(b x)+\frac{3}{16} b \cosh (3 a) \text{Shi}(3 b x)+\frac{5}{16} b \cosh (5 a) \text{Shi}(5 b x)+\frac{\cosh (a+b x)}{8 x}-\frac{\cosh (3 a+3 b x)}{16 x}-\frac{\cosh (5 a+5 b x)}{16 x}","-\frac{1}{8} b \sinh (a) \text{Chi}(b x)+\frac{3}{16} b \sinh (3 a) \text{Chi}(3 b x)+\frac{5}{16} b \sinh (5 a) \text{Chi}(5 b x)-\frac{1}{8} b \cosh (a) \text{Shi}(b x)+\frac{3}{16} b \cosh (3 a) \text{Shi}(3 b x)+\frac{5}{16} b \cosh (5 a) \text{Shi}(5 b x)+\frac{\cosh (a+b x)}{8 x}-\frac{\cosh (3 a+3 b x)}{16 x}-\frac{\cosh (5 a+5 b x)}{16 x}",1,"Cosh[a + b*x]/(8*x) - Cosh[3*a + 3*b*x]/(16*x) - Cosh[5*a + 5*b*x]/(16*x) - (b*CoshIntegral[b*x]*Sinh[a])/8 + (3*b*CoshIntegral[3*b*x]*Sinh[3*a])/16 + (5*b*CoshIntegral[5*b*x]*Sinh[5*a])/16 - (b*Cosh[a]*SinhIntegral[b*x])/8 + (3*b*Cosh[3*a]*SinhIntegral[3*b*x])/16 + (5*b*Cosh[5*a]*SinhIntegral[5*b*x])/16","A",14,5,20,0.2500,1,"{5448, 3297, 3303, 3298, 3301}"
305,1,184,0,0.3439361,"\int \frac{\cosh ^3(a+b x) \sinh ^2(a+b x)}{x^3} \, dx","Int[(Cosh[a + b*x]^3*Sinh[a + b*x]^2)/x^3,x]","-\frac{1}{16} b^2 \cosh (a) \text{Chi}(b x)+\frac{9}{32} b^2 \cosh (3 a) \text{Chi}(3 b x)+\frac{25}{32} b^2 \cosh (5 a) \text{Chi}(5 b x)-\frac{1}{16} b^2 \sinh (a) \text{Shi}(b x)+\frac{9}{32} b^2 \sinh (3 a) \text{Shi}(3 b x)+\frac{25}{32} b^2 \sinh (5 a) \text{Shi}(5 b x)+\frac{\cosh (a+b x)}{16 x^2}-\frac{\cosh (3 a+3 b x)}{32 x^2}-\frac{\cosh (5 a+5 b x)}{32 x^2}+\frac{b \sinh (a+b x)}{16 x}-\frac{3 b \sinh (3 a+3 b x)}{32 x}-\frac{5 b \sinh (5 a+5 b x)}{32 x}","-\frac{1}{16} b^2 \cosh (a) \text{Chi}(b x)+\frac{9}{32} b^2 \cosh (3 a) \text{Chi}(3 b x)+\frac{25}{32} b^2 \cosh (5 a) \text{Chi}(5 b x)-\frac{1}{16} b^2 \sinh (a) \text{Shi}(b x)+\frac{9}{32} b^2 \sinh (3 a) \text{Shi}(3 b x)+\frac{25}{32} b^2 \sinh (5 a) \text{Shi}(5 b x)+\frac{\cosh (a+b x)}{16 x^2}-\frac{\cosh (3 a+3 b x)}{32 x^2}-\frac{\cosh (5 a+5 b x)}{32 x^2}+\frac{b \sinh (a+b x)}{16 x}-\frac{3 b \sinh (3 a+3 b x)}{32 x}-\frac{5 b \sinh (5 a+5 b x)}{32 x}",1,"Cosh[a + b*x]/(16*x^2) - Cosh[3*a + 3*b*x]/(32*x^2) - Cosh[5*a + 5*b*x]/(32*x^2) - (b^2*Cosh[a]*CoshIntegral[b*x])/16 + (9*b^2*Cosh[3*a]*CoshIntegral[3*b*x])/32 + (25*b^2*Cosh[5*a]*CoshIntegral[5*b*x])/32 + (b*Sinh[a + b*x])/(16*x) - (3*b*Sinh[3*a + 3*b*x])/(32*x) - (5*b*Sinh[5*a + 5*b*x])/(32*x) - (b^2*Sinh[a]*SinhIntegral[b*x])/16 + (9*b^2*Sinh[3*a]*SinhIntegral[3*b*x])/32 + (25*b^2*Sinh[5*a]*SinhIntegral[5*b*x])/32","A",17,5,20,0.2500,1,"{5448, 3297, 3303, 3298, 3301}"
306,1,238,0,0.4442854,"\int \frac{\cosh ^3(a+b x) \sinh ^2(a+b x)}{x^4} \, dx","Int[(Cosh[a + b*x]^3*Sinh[a + b*x]^2)/x^4,x]","-\frac{1}{48} b^3 \sinh (a) \text{Chi}(b x)+\frac{9}{32} b^3 \sinh (3 a) \text{Chi}(3 b x)+\frac{125}{96} b^3 \sinh (5 a) \text{Chi}(5 b x)-\frac{1}{48} b^3 \cosh (a) \text{Shi}(b x)+\frac{9}{32} b^3 \cosh (3 a) \text{Shi}(3 b x)+\frac{125}{96} b^3 \cosh (5 a) \text{Shi}(5 b x)+\frac{b^2 \cosh (a+b x)}{48 x}-\frac{3 b^2 \cosh (3 a+3 b x)}{32 x}-\frac{25 b^2 \cosh (5 a+5 b x)}{96 x}+\frac{b \sinh (a+b x)}{48 x^2}-\frac{b \sinh (3 a+3 b x)}{32 x^2}-\frac{5 b \sinh (5 a+5 b x)}{96 x^2}+\frac{\cosh (a+b x)}{24 x^3}-\frac{\cosh (3 a+3 b x)}{48 x^3}-\frac{\cosh (5 a+5 b x)}{48 x^3}","-\frac{1}{48} b^3 \sinh (a) \text{Chi}(b x)+\frac{9}{32} b^3 \sinh (3 a) \text{Chi}(3 b x)+\frac{125}{96} b^3 \sinh (5 a) \text{Chi}(5 b x)-\frac{1}{48} b^3 \cosh (a) \text{Shi}(b x)+\frac{9}{32} b^3 \cosh (3 a) \text{Shi}(3 b x)+\frac{125}{96} b^3 \cosh (5 a) \text{Shi}(5 b x)+\frac{b^2 \cosh (a+b x)}{48 x}-\frac{3 b^2 \cosh (3 a+3 b x)}{32 x}-\frac{25 b^2 \cosh (5 a+5 b x)}{96 x}+\frac{b \sinh (a+b x)}{48 x^2}-\frac{b \sinh (3 a+3 b x)}{32 x^2}-\frac{5 b \sinh (5 a+5 b x)}{96 x^2}+\frac{\cosh (a+b x)}{24 x^3}-\frac{\cosh (3 a+3 b x)}{48 x^3}-\frac{\cosh (5 a+5 b x)}{48 x^3}",1,"Cosh[a + b*x]/(24*x^3) + (b^2*Cosh[a + b*x])/(48*x) - Cosh[3*a + 3*b*x]/(48*x^3) - (3*b^2*Cosh[3*a + 3*b*x])/(32*x) - Cosh[5*a + 5*b*x]/(48*x^3) - (25*b^2*Cosh[5*a + 5*b*x])/(96*x) - (b^3*CoshIntegral[b*x]*Sinh[a])/48 + (9*b^3*CoshIntegral[3*b*x]*Sinh[3*a])/32 + (125*b^3*CoshIntegral[5*b*x]*Sinh[5*a])/96 + (b*Sinh[a + b*x])/(48*x^2) - (b*Sinh[3*a + 3*b*x])/(32*x^2) - (5*b*Sinh[5*a + 5*b*x])/(96*x^2) - (b^3*Cosh[a]*SinhIntegral[b*x])/48 + (9*b^3*Cosh[3*a]*SinhIntegral[3*b*x])/32 + (125*b^3*Cosh[5*a]*SinhIntegral[5*b*x])/96","A",20,5,20,0.2500,1,"{5448, 3297, 3303, 3298, 3301}"
307,1,141,0,0.2102491,"\int x^m \cosh (a+b x) \sinh ^3(a+b x) \, dx","Int[x^m*Cosh[a + b*x]*Sinh[a + b*x]^3,x]","\frac{e^{4 a} 2^{-2 (m+3)} x^m (-b x)^{-m} \text{Gamma}(m+1,-4 b x)}{b}-\frac{e^{2 a} 2^{-m-4} x^m (-b x)^{-m} \text{Gamma}(m+1,-2 b x)}{b}-\frac{e^{-2 a} 2^{-m-4} x^m (b x)^{-m} \text{Gamma}(m+1,2 b x)}{b}+\frac{e^{-4 a} 2^{-2 (m+3)} x^m (b x)^{-m} \text{Gamma}(m+1,4 b x)}{b}","\frac{e^{4 a} 2^{-2 (m+3)} x^m (-b x)^{-m} \text{Gamma}(m+1,-4 b x)}{b}-\frac{e^{2 a} 2^{-m-4} x^m (-b x)^{-m} \text{Gamma}(m+1,-2 b x)}{b}-\frac{e^{-2 a} 2^{-m-4} x^m (b x)^{-m} \text{Gamma}(m+1,2 b x)}{b}+\frac{e^{-4 a} 2^{-2 (m+3)} x^m (b x)^{-m} \text{Gamma}(m+1,4 b x)}{b}",1,"(E^(4*a)*x^m*Gamma[1 + m, -4*b*x])/(2^(2*(3 + m))*b*(-(b*x))^m) - (2^(-4 - m)*E^(2*a)*x^m*Gamma[1 + m, -2*b*x])/(b*(-(b*x))^m) - (2^(-4 - m)*x^m*Gamma[1 + m, 2*b*x])/(b*E^(2*a)*(b*x)^m) + (x^m*Gamma[1 + m, 4*b*x])/(2^(2*(3 + m))*b*E^(4*a)*(b*x)^m)","A",8,3,18,0.1667,1,"{5448, 3308, 2181}"
308,1,155,0,0.1393503,"\int x^3 \cosh (a+b x) \sinh ^3(a+b x) \, dx","Int[x^3*Cosh[a + b*x]*Sinh[a + b*x]^3,x]","-\frac{3 x^2 \sinh ^3(a+b x) \cosh (a+b x)}{16 b^2}+\frac{9 x^2 \sinh (a+b x) \cosh (a+b x)}{32 b^2}+\frac{3 x \sinh ^4(a+b x)}{32 b^3}-\frac{9 x \sinh ^2(a+b x)}{32 b^3}-\frac{3 \sinh ^3(a+b x) \cosh (a+b x)}{128 b^4}+\frac{45 \sinh (a+b x) \cosh (a+b x)}{256 b^4}+\frac{x^3 \sinh ^4(a+b x)}{4 b}-\frac{45 x}{256 b^3}-\frac{3 x^3}{32 b}","-\frac{3 x^2 \sinh ^3(a+b x) \cosh (a+b x)}{16 b^2}+\frac{9 x^2 \sinh (a+b x) \cosh (a+b x)}{32 b^2}+\frac{3 x \sinh ^4(a+b x)}{32 b^3}-\frac{9 x \sinh ^2(a+b x)}{32 b^3}-\frac{3 \sinh ^3(a+b x) \cosh (a+b x)}{128 b^4}+\frac{45 \sinh (a+b x) \cosh (a+b x)}{256 b^4}+\frac{x^3 \sinh ^4(a+b x)}{4 b}-\frac{45 x}{256 b^3}-\frac{3 x^3}{32 b}",1,"(-45*x)/(256*b^3) - (3*x^3)/(32*b) + (45*Cosh[a + b*x]*Sinh[a + b*x])/(256*b^4) + (9*x^2*Cosh[a + b*x]*Sinh[a + b*x])/(32*b^2) - (9*x*Sinh[a + b*x]^2)/(32*b^3) - (3*Cosh[a + b*x]*Sinh[a + b*x]^3)/(128*b^4) - (3*x^2*Cosh[a + b*x]*Sinh[a + b*x]^3)/(16*b^2) + (3*x*Sinh[a + b*x]^4)/(32*b^3) + (x^3*Sinh[a + b*x]^4)/(4*b)","A",9,5,18,0.2778,1,"{5372, 3311, 30, 2635, 8}"
309,1,101,0,0.0769786,"\int x^2 \cosh (a+b x) \sinh ^3(a+b x) \, dx","Int[x^2*Cosh[a + b*x]*Sinh[a + b*x]^3,x]","\frac{\sinh ^4(a+b x)}{32 b^3}-\frac{3 \sinh ^2(a+b x)}{32 b^3}-\frac{x \sinh ^3(a+b x) \cosh (a+b x)}{8 b^2}+\frac{3 x \sinh (a+b x) \cosh (a+b x)}{16 b^2}+\frac{x^2 \sinh ^4(a+b x)}{4 b}-\frac{3 x^2}{32 b}","\frac{\sinh ^4(a+b x)}{32 b^3}-\frac{3 \sinh ^2(a+b x)}{32 b^3}-\frac{x \sinh ^3(a+b x) \cosh (a+b x)}{8 b^2}+\frac{3 x \sinh (a+b x) \cosh (a+b x)}{16 b^2}+\frac{x^2 \sinh ^4(a+b x)}{4 b}-\frac{3 x^2}{32 b}",1,"(-3*x^2)/(32*b) + (3*x*Cosh[a + b*x]*Sinh[a + b*x])/(16*b^2) - (3*Sinh[a + b*x]^2)/(32*b^3) - (x*Cosh[a + b*x]*Sinh[a + b*x]^3)/(8*b^2) + Sinh[a + b*x]^4/(32*b^3) + (x^2*Sinh[a + b*x]^4)/(4*b)","A",4,3,18,0.1667,1,"{5372, 3310, 30}"
310,1,65,0,0.0430793,"\int x \cosh (a+b x) \sinh ^3(a+b x) \, dx","Int[x*Cosh[a + b*x]*Sinh[a + b*x]^3,x]","-\frac{\sinh ^3(a+b x) \cosh (a+b x)}{16 b^2}+\frac{3 \sinh (a+b x) \cosh (a+b x)}{32 b^2}+\frac{x \sinh ^4(a+b x)}{4 b}-\frac{3 x}{32 b}","-\frac{\sinh ^3(a+b x) \cosh (a+b x)}{16 b^2}+\frac{3 \sinh (a+b x) \cosh (a+b x)}{32 b^2}+\frac{x \sinh ^4(a+b x)}{4 b}-\frac{3 x}{32 b}",1,"(-3*x)/(32*b) + (3*Cosh[a + b*x]*Sinh[a + b*x])/(32*b^2) - (Cosh[a + b*x]*Sinh[a + b*x]^3)/(16*b^2) + (x*Sinh[a + b*x]^4)/(4*b)","A",4,3,16,0.1875,1,"{5372, 2635, 8}"
311,1,15,0,0.0207488,"\int \cosh (a+b x) \sinh ^3(a+b x) \, dx","Int[Cosh[a + b*x]*Sinh[a + b*x]^3,x]","\frac{\sinh ^4(a+b x)}{4 b}","\frac{\sinh ^4(a+b x)}{4 b}",1,"Sinh[a + b*x]^4/(4*b)","A",2,2,15,0.1333,1,"{2564, 30}"
312,1,53,0,0.1326915,"\int \frac{\cosh (a+b x) \sinh ^3(a+b x)}{x} \, dx","Int[(Cosh[a + b*x]*Sinh[a + b*x]^3)/x,x]","-\frac{1}{4} \sinh (2 a) \text{Chi}(2 b x)+\frac{1}{8} \sinh (4 a) \text{Chi}(4 b x)-\frac{1}{4} \cosh (2 a) \text{Shi}(2 b x)+\frac{1}{8} \cosh (4 a) \text{Shi}(4 b x)","-\frac{1}{4} \sinh (2 a) \text{Chi}(2 b x)+\frac{1}{8} \sinh (4 a) \text{Chi}(4 b x)-\frac{1}{4} \cosh (2 a) \text{Shi}(2 b x)+\frac{1}{8} \cosh (4 a) \text{Shi}(4 b x)",1,"-(CoshIntegral[2*b*x]*Sinh[2*a])/4 + (CoshIntegral[4*b*x]*Sinh[4*a])/8 - (Cosh[2*a]*SinhIntegral[2*b*x])/4 + (Cosh[4*a]*SinhIntegral[4*b*x])/8","A",8,4,18,0.2222,1,"{5448, 3303, 3298, 3301}"
313,1,89,0,0.1757843,"\int \frac{\cosh (a+b x) \sinh ^3(a+b x)}{x^2} \, dx","Int[(Cosh[a + b*x]*Sinh[a + b*x]^3)/x^2,x]","-\frac{1}{2} b \cosh (2 a) \text{Chi}(2 b x)+\frac{1}{2} b \cosh (4 a) \text{Chi}(4 b x)-\frac{1}{2} b \sinh (2 a) \text{Shi}(2 b x)+\frac{1}{2} b \sinh (4 a) \text{Shi}(4 b x)+\frac{\sinh (2 a+2 b x)}{4 x}-\frac{\sinh (4 a+4 b x)}{8 x}","-\frac{1}{2} b \cosh (2 a) \text{Chi}(2 b x)+\frac{1}{2} b \cosh (4 a) \text{Chi}(4 b x)-\frac{1}{2} b \sinh (2 a) \text{Shi}(2 b x)+\frac{1}{2} b \sinh (4 a) \text{Shi}(4 b x)+\frac{\sinh (2 a+2 b x)}{4 x}-\frac{\sinh (4 a+4 b x)}{8 x}",1,"-(b*Cosh[2*a]*CoshIntegral[2*b*x])/2 + (b*Cosh[4*a]*CoshIntegral[4*b*x])/2 + Sinh[2*a + 2*b*x]/(4*x) - Sinh[4*a + 4*b*x]/(8*x) - (b*Sinh[2*a]*SinhIntegral[2*b*x])/2 + (b*Sinh[4*a]*SinhIntegral[4*b*x])/2","A",10,5,18,0.2778,1,"{5448, 3297, 3303, 3298, 3301}"
314,1,125,0,0.2298925,"\int \frac{\cosh (a+b x) \sinh ^3(a+b x)}{x^3} \, dx","Int[(Cosh[a + b*x]*Sinh[a + b*x]^3)/x^3,x]","-\frac{1}{2} b^2 \sinh (2 a) \text{Chi}(2 b x)+b^2 \sinh (4 a) \text{Chi}(4 b x)-\frac{1}{2} b^2 \cosh (2 a) \text{Shi}(2 b x)+b^2 \cosh (4 a) \text{Shi}(4 b x)+\frac{\sinh (2 a+2 b x)}{8 x^2}-\frac{\sinh (4 a+4 b x)}{16 x^2}+\frac{b \cosh (2 a+2 b x)}{4 x}-\frac{b \cosh (4 a+4 b x)}{4 x}","-\frac{1}{2} b^2 \sinh (2 a) \text{Chi}(2 b x)+b^2 \sinh (4 a) \text{Chi}(4 b x)-\frac{1}{2} b^2 \cosh (2 a) \text{Shi}(2 b x)+b^2 \cosh (4 a) \text{Shi}(4 b x)+\frac{\sinh (2 a+2 b x)}{8 x^2}-\frac{\sinh (4 a+4 b x)}{16 x^2}+\frac{b \cosh (2 a+2 b x)}{4 x}-\frac{b \cosh (4 a+4 b x)}{4 x}",1,"(b*Cosh[2*a + 2*b*x])/(4*x) - (b*Cosh[4*a + 4*b*x])/(4*x) - (b^2*CoshIntegral[2*b*x]*Sinh[2*a])/2 + b^2*CoshIntegral[4*b*x]*Sinh[4*a] + Sinh[2*a + 2*b*x]/(8*x^2) - Sinh[4*a + 4*b*x]/(16*x^2) - (b^2*Cosh[2*a]*SinhIntegral[2*b*x])/2 + b^2*Cosh[4*a]*SinhIntegral[4*b*x]","A",12,5,18,0.2778,1,"{5448, 3297, 3303, 3298, 3301}"
315,1,169,0,0.2865773,"\int \frac{\cosh (a+b x) \sinh ^3(a+b x)}{x^4} \, dx","Int[(Cosh[a + b*x]*Sinh[a + b*x]^3)/x^4,x]","-\frac{1}{3} b^3 \cosh (2 a) \text{Chi}(2 b x)+\frac{4}{3} b^3 \cosh (4 a) \text{Chi}(4 b x)-\frac{1}{3} b^3 \sinh (2 a) \text{Shi}(2 b x)+\frac{4}{3} b^3 \sinh (4 a) \text{Shi}(4 b x)+\frac{b^2 \sinh (2 a+2 b x)}{6 x}-\frac{b^2 \sinh (4 a+4 b x)}{3 x}+\frac{\sinh (2 a+2 b x)}{12 x^3}-\frac{\sinh (4 a+4 b x)}{24 x^3}+\frac{b \cosh (2 a+2 b x)}{12 x^2}-\frac{b \cosh (4 a+4 b x)}{12 x^2}","-\frac{1}{3} b^3 \cosh (2 a) \text{Chi}(2 b x)+\frac{4}{3} b^3 \cosh (4 a) \text{Chi}(4 b x)-\frac{1}{3} b^3 \sinh (2 a) \text{Shi}(2 b x)+\frac{4}{3} b^3 \sinh (4 a) \text{Shi}(4 b x)+\frac{b^2 \sinh (2 a+2 b x)}{6 x}-\frac{b^2 \sinh (4 a+4 b x)}{3 x}+\frac{\sinh (2 a+2 b x)}{12 x^3}-\frac{\sinh (4 a+4 b x)}{24 x^3}+\frac{b \cosh (2 a+2 b x)}{12 x^2}-\frac{b \cosh (4 a+4 b x)}{12 x^2}",1,"(b*Cosh[2*a + 2*b*x])/(12*x^2) - (b*Cosh[4*a + 4*b*x])/(12*x^2) - (b^3*Cosh[2*a]*CoshIntegral[2*b*x])/3 + (4*b^3*Cosh[4*a]*CoshIntegral[4*b*x])/3 + Sinh[2*a + 2*b*x]/(12*x^3) + (b^2*Sinh[2*a + 2*b*x])/(6*x) - Sinh[4*a + 4*b*x]/(24*x^3) - (b^2*Sinh[4*a + 4*b*x])/(3*x) - (b^3*Sinh[2*a]*SinhIntegral[2*b*x])/3 + (4*b^3*Sinh[4*a]*SinhIntegral[4*b*x])/3","A",14,5,18,0.2778,1,"{5448, 3297, 3303, 3298, 3301}"
316,1,209,0,0.2800384,"\int x^m \cosh ^2(a+b x) \sinh ^3(a+b x) \, dx","Int[x^m*Cosh[a + b*x]^2*Sinh[a + b*x]^3,x]","\frac{e^{5 a} 5^{-m-1} x^m (-b x)^{-m} \text{Gamma}(m+1,-5 b x)}{32 b}-\frac{e^{3 a} 3^{-m-1} x^m (-b x)^{-m} \text{Gamma}(m+1,-3 b x)}{32 b}-\frac{e^a x^m (-b x)^{-m} \text{Gamma}(m+1,-b x)}{16 b}-\frac{e^{-a} x^m (b x)^{-m} \text{Gamma}(m+1,b x)}{16 b}-\frac{e^{-3 a} 3^{-m-1} x^m (b x)^{-m} \text{Gamma}(m+1,3 b x)}{32 b}+\frac{e^{-5 a} 5^{-m-1} x^m (b x)^{-m} \text{Gamma}(m+1,5 b x)}{32 b}","\frac{e^{5 a} 5^{-m-1} x^m (-b x)^{-m} \text{Gamma}(m+1,-5 b x)}{32 b}-\frac{e^{3 a} 3^{-m-1} x^m (-b x)^{-m} \text{Gamma}(m+1,-3 b x)}{32 b}-\frac{e^a x^m (-b x)^{-m} \text{Gamma}(m+1,-b x)}{16 b}-\frac{e^{-a} x^m (b x)^{-m} \text{Gamma}(m+1,b x)}{16 b}-\frac{e^{-3 a} 3^{-m-1} x^m (b x)^{-m} \text{Gamma}(m+1,3 b x)}{32 b}+\frac{e^{-5 a} 5^{-m-1} x^m (b x)^{-m} \text{Gamma}(m+1,5 b x)}{32 b}",1,"(5^(-1 - m)*E^(5*a)*x^m*Gamma[1 + m, -5*b*x])/(32*b*(-(b*x))^m) - (3^(-1 - m)*E^(3*a)*x^m*Gamma[1 + m, -3*b*x])/(32*b*(-(b*x))^m) - (E^a*x^m*Gamma[1 + m, -(b*x)])/(16*b*(-(b*x))^m) - (x^m*Gamma[1 + m, b*x])/(16*b*E^a*(b*x)^m) - (3^(-1 - m)*x^m*Gamma[1 + m, 3*b*x])/(32*b*E^(3*a)*(b*x)^m) + (5^(-1 - m)*x^m*Gamma[1 + m, 5*b*x])/(32*b*E^(5*a)*(b*x)^m)","A",11,3,20,0.1500,1,"{5448, 3308, 2181}"
317,1,202,0,0.2620648,"\int x^3 \cosh ^2(a+b x) \sinh ^3(a+b x) \, dx","Int[x^3*Cosh[a + b*x]^2*Sinh[a + b*x]^3,x]","\frac{3 x^2 \sinh (a+b x)}{8 b^2}+\frac{x^2 \sinh (3 a+3 b x)}{48 b^2}-\frac{3 x^2 \sinh (5 a+5 b x)}{400 b^2}+\frac{3 \sinh (a+b x)}{4 b^4}+\frac{\sinh (3 a+3 b x)}{216 b^4}-\frac{3 \sinh (5 a+5 b x)}{5000 b^4}-\frac{3 x \cosh (a+b x)}{4 b^3}-\frac{x \cosh (3 a+3 b x)}{72 b^3}+\frac{3 x \cosh (5 a+5 b x)}{1000 b^3}-\frac{x^3 \cosh (a+b x)}{8 b}-\frac{x^3 \cosh (3 a+3 b x)}{48 b}+\frac{x^3 \cosh (5 a+5 b x)}{80 b}","\frac{3 x^2 \sinh (a+b x)}{8 b^2}+\frac{x^2 \sinh (3 a+3 b x)}{48 b^2}-\frac{3 x^2 \sinh (5 a+5 b x)}{400 b^2}+\frac{3 \sinh (a+b x)}{4 b^4}+\frac{\sinh (3 a+3 b x)}{216 b^4}-\frac{3 \sinh (5 a+5 b x)}{5000 b^4}-\frac{3 x \cosh (a+b x)}{4 b^3}-\frac{x \cosh (3 a+3 b x)}{72 b^3}+\frac{3 x \cosh (5 a+5 b x)}{1000 b^3}-\frac{x^3 \cosh (a+b x)}{8 b}-\frac{x^3 \cosh (3 a+3 b x)}{48 b}+\frac{x^3 \cosh (5 a+5 b x)}{80 b}",1,"(-3*x*Cosh[a + b*x])/(4*b^3) - (x^3*Cosh[a + b*x])/(8*b) - (x*Cosh[3*a + 3*b*x])/(72*b^3) - (x^3*Cosh[3*a + 3*b*x])/(48*b) + (3*x*Cosh[5*a + 5*b*x])/(1000*b^3) + (x^3*Cosh[5*a + 5*b*x])/(80*b) + (3*Sinh[a + b*x])/(4*b^4) + (3*x^2*Sinh[a + b*x])/(8*b^2) + Sinh[3*a + 3*b*x]/(216*b^4) + (x^2*Sinh[3*a + 3*b*x])/(48*b^2) - (3*Sinh[5*a + 5*b*x])/(5000*b^4) - (3*x^2*Sinh[5*a + 5*b*x])/(400*b^2)","A",14,3,20,0.1500,1,"{5448, 3296, 2637}"
318,1,148,0,0.1818982,"\int x^2 \cosh ^2(a+b x) \sinh ^3(a+b x) \, dx","Int[x^2*Cosh[a + b*x]^2*Sinh[a + b*x]^3,x]","\frac{x \sinh (a+b x)}{4 b^2}+\frac{x \sinh (3 a+3 b x)}{72 b^2}-\frac{x \sinh (5 a+5 b x)}{200 b^2}-\frac{\cosh (a+b x)}{4 b^3}-\frac{\cosh (3 a+3 b x)}{216 b^3}+\frac{\cosh (5 a+5 b x)}{1000 b^3}-\frac{x^2 \cosh (a+b x)}{8 b}-\frac{x^2 \cosh (3 a+3 b x)}{48 b}+\frac{x^2 \cosh (5 a+5 b x)}{80 b}","\frac{x \sinh (a+b x)}{4 b^2}+\frac{x \sinh (3 a+3 b x)}{72 b^2}-\frac{x \sinh (5 a+5 b x)}{200 b^2}-\frac{\cosh (a+b x)}{4 b^3}-\frac{\cosh (3 a+3 b x)}{216 b^3}+\frac{\cosh (5 a+5 b x)}{1000 b^3}-\frac{x^2 \cosh (a+b x)}{8 b}-\frac{x^2 \cosh (3 a+3 b x)}{48 b}+\frac{x^2 \cosh (5 a+5 b x)}{80 b}",1,"-Cosh[a + b*x]/(4*b^3) - (x^2*Cosh[a + b*x])/(8*b) - Cosh[3*a + 3*b*x]/(216*b^3) - (x^2*Cosh[3*a + 3*b*x])/(48*b) + Cosh[5*a + 5*b*x]/(1000*b^3) + (x^2*Cosh[5*a + 5*b*x])/(80*b) + (x*Sinh[a + b*x])/(4*b^2) + (x*Sinh[3*a + 3*b*x])/(72*b^2) - (x*Sinh[5*a + 5*b*x])/(200*b^2)","A",11,3,20,0.1500,1,"{5448, 3296, 2638}"
319,1,94,0,0.0903493,"\int x \cosh ^2(a+b x) \sinh ^3(a+b x) \, dx","Int[x*Cosh[a + b*x]^2*Sinh[a + b*x]^3,x]","\frac{\sinh (a+b x)}{8 b^2}+\frac{\sinh (3 a+3 b x)}{144 b^2}-\frac{\sinh (5 a+5 b x)}{400 b^2}-\frac{x \cosh (a+b x)}{8 b}-\frac{x \cosh (3 a+3 b x)}{48 b}+\frac{x \cosh (5 a+5 b x)}{80 b}","\frac{\sinh (a+b x)}{8 b^2}+\frac{\sinh (3 a+3 b x)}{144 b^2}-\frac{\sinh (5 a+5 b x)}{400 b^2}-\frac{x \cosh (a+b x)}{8 b}-\frac{x \cosh (3 a+3 b x)}{48 b}+\frac{x \cosh (5 a+5 b x)}{80 b}",1,"-(x*Cosh[a + b*x])/(8*b) - (x*Cosh[3*a + 3*b*x])/(48*b) + (x*Cosh[5*a + 5*b*x])/(80*b) + Sinh[a + b*x]/(8*b^2) + Sinh[3*a + 3*b*x]/(144*b^2) - Sinh[5*a + 5*b*x]/(400*b^2)","A",8,3,18,0.1667,1,"{5448, 3296, 2637}"
320,1,31,0,0.0348252,"\int \cosh ^2(a+b x) \sinh ^3(a+b x) \, dx","Int[Cosh[a + b*x]^2*Sinh[a + b*x]^3,x]","\frac{\cosh ^5(a+b x)}{5 b}-\frac{\cosh ^3(a+b x)}{3 b}","\frac{\cosh ^5(a+b x)}{5 b}-\frac{\cosh ^3(a+b x)}{3 b}",1,"-Cosh[a + b*x]^3/(3*b) + Cosh[a + b*x]^5/(5*b)","A",3,2,17,0.1176,1,"{2565, 14}"
321,1,73,0,0.1823283,"\int \frac{\cosh ^2(a+b x) \sinh ^3(a+b x)}{x} \, dx","Int[(Cosh[a + b*x]^2*Sinh[a + b*x]^3)/x,x]","-\frac{1}{8} \sinh (a) \text{Chi}(b x)-\frac{1}{16} \sinh (3 a) \text{Chi}(3 b x)+\frac{1}{16} \sinh (5 a) \text{Chi}(5 b x)-\frac{1}{8} \cosh (a) \text{Shi}(b x)-\frac{1}{16} \cosh (3 a) \text{Shi}(3 b x)+\frac{1}{16} \cosh (5 a) \text{Shi}(5 b x)","-\frac{1}{8} \sinh (a) \text{Chi}(b x)-\frac{1}{16} \sinh (3 a) \text{Chi}(3 b x)+\frac{1}{16} \sinh (5 a) \text{Chi}(5 b x)-\frac{1}{8} \cosh (a) \text{Shi}(b x)-\frac{1}{16} \cosh (3 a) \text{Shi}(3 b x)+\frac{1}{16} \cosh (5 a) \text{Shi}(5 b x)",1,"-(CoshIntegral[b*x]*Sinh[a])/8 - (CoshIntegral[3*b*x]*Sinh[3*a])/16 + (CoshIntegral[5*b*x]*Sinh[5*a])/16 - (Cosh[a]*SinhIntegral[b*x])/8 - (Cosh[3*a]*SinhIntegral[3*b*x])/16 + (Cosh[5*a]*SinhIntegral[5*b*x])/16","A",11,4,20,0.2000,1,"{5448, 3303, 3298, 3301}"
322,1,124,0,0.2497245,"\int \frac{\cosh ^2(a+b x) \sinh ^3(a+b x)}{x^2} \, dx","Int[(Cosh[a + b*x]^2*Sinh[a + b*x]^3)/x^2,x]","-\frac{1}{8} b \cosh (a) \text{Chi}(b x)-\frac{3}{16} b \cosh (3 a) \text{Chi}(3 b x)+\frac{5}{16} b \cosh (5 a) \text{Chi}(5 b x)-\frac{1}{8} b \sinh (a) \text{Shi}(b x)-\frac{3}{16} b \sinh (3 a) \text{Shi}(3 b x)+\frac{5}{16} b \sinh (5 a) \text{Shi}(5 b x)+\frac{\sinh (a+b x)}{8 x}+\frac{\sinh (3 a+3 b x)}{16 x}-\frac{\sinh (5 a+5 b x)}{16 x}","-\frac{1}{8} b \cosh (a) \text{Chi}(b x)-\frac{3}{16} b \cosh (3 a) \text{Chi}(3 b x)+\frac{5}{16} b \cosh (5 a) \text{Chi}(5 b x)-\frac{1}{8} b \sinh (a) \text{Shi}(b x)-\frac{3}{16} b \sinh (3 a) \text{Shi}(3 b x)+\frac{5}{16} b \sinh (5 a) \text{Shi}(5 b x)+\frac{\sinh (a+b x)}{8 x}+\frac{\sinh (3 a+3 b x)}{16 x}-\frac{\sinh (5 a+5 b x)}{16 x}",1,"-(b*Cosh[a]*CoshIntegral[b*x])/8 - (3*b*Cosh[3*a]*CoshIntegral[3*b*x])/16 + (5*b*Cosh[5*a]*CoshIntegral[5*b*x])/16 + Sinh[a + b*x]/(8*x) + Sinh[3*a + 3*b*x]/(16*x) - Sinh[5*a + 5*b*x]/(16*x) - (b*Sinh[a]*SinhIntegral[b*x])/8 - (3*b*Sinh[3*a]*SinhIntegral[3*b*x])/16 + (5*b*Sinh[5*a]*SinhIntegral[5*b*x])/16","A",14,5,20,0.2500,1,"{5448, 3297, 3303, 3298, 3301}"
323,1,184,0,0.3390628,"\int \frac{\cosh ^2(a+b x) \sinh ^3(a+b x)}{x^3} \, dx","Int[(Cosh[a + b*x]^2*Sinh[a + b*x]^3)/x^3,x]","-\frac{1}{16} b^2 \sinh (a) \text{Chi}(b x)-\frac{9}{32} b^2 \sinh (3 a) \text{Chi}(3 b x)+\frac{25}{32} b^2 \sinh (5 a) \text{Chi}(5 b x)-\frac{1}{16} b^2 \cosh (a) \text{Shi}(b x)-\frac{9}{32} b^2 \cosh (3 a) \text{Shi}(3 b x)+\frac{25}{32} b^2 \cosh (5 a) \text{Shi}(5 b x)+\frac{\sinh (a+b x)}{16 x^2}+\frac{\sinh (3 a+3 b x)}{32 x^2}-\frac{\sinh (5 a+5 b x)}{32 x^2}+\frac{b \cosh (a+b x)}{16 x}+\frac{3 b \cosh (3 a+3 b x)}{32 x}-\frac{5 b \cosh (5 a+5 b x)}{32 x}","-\frac{1}{16} b^2 \sinh (a) \text{Chi}(b x)-\frac{9}{32} b^2 \sinh (3 a) \text{Chi}(3 b x)+\frac{25}{32} b^2 \sinh (5 a) \text{Chi}(5 b x)-\frac{1}{16} b^2 \cosh (a) \text{Shi}(b x)-\frac{9}{32} b^2 \cosh (3 a) \text{Shi}(3 b x)+\frac{25}{32} b^2 \cosh (5 a) \text{Shi}(5 b x)+\frac{\sinh (a+b x)}{16 x^2}+\frac{\sinh (3 a+3 b x)}{32 x^2}-\frac{\sinh (5 a+5 b x)}{32 x^2}+\frac{b \cosh (a+b x)}{16 x}+\frac{3 b \cosh (3 a+3 b x)}{32 x}-\frac{5 b \cosh (5 a+5 b x)}{32 x}",1,"(b*Cosh[a + b*x])/(16*x) + (3*b*Cosh[3*a + 3*b*x])/(32*x) - (5*b*Cosh[5*a + 5*b*x])/(32*x) - (b^2*CoshIntegral[b*x]*Sinh[a])/16 - (9*b^2*CoshIntegral[3*b*x]*Sinh[3*a])/32 + (25*b^2*CoshIntegral[5*b*x]*Sinh[5*a])/32 + Sinh[a + b*x]/(16*x^2) + Sinh[3*a + 3*b*x]/(32*x^2) - Sinh[5*a + 5*b*x]/(32*x^2) - (b^2*Cosh[a]*SinhIntegral[b*x])/16 - (9*b^2*Cosh[3*a]*SinhIntegral[3*b*x])/32 + (25*b^2*Cosh[5*a]*SinhIntegral[5*b*x])/32","A",17,5,20,0.2500,1,"{5448, 3297, 3303, 3298, 3301}"
324,1,238,0,0.4135436,"\int \frac{\cosh ^2(a+b x) \sinh ^3(a+b x)}{x^4} \, dx","Int[(Cosh[a + b*x]^2*Sinh[a + b*x]^3)/x^4,x]","-\frac{1}{48} b^3 \cosh (a) \text{Chi}(b x)-\frac{9}{32} b^3 \cosh (3 a) \text{Chi}(3 b x)+\frac{125}{96} b^3 \cosh (5 a) \text{Chi}(5 b x)-\frac{1}{48} b^3 \sinh (a) \text{Shi}(b x)-\frac{9}{32} b^3 \sinh (3 a) \text{Shi}(3 b x)+\frac{125}{96} b^3 \sinh (5 a) \text{Shi}(5 b x)+\frac{b^2 \sinh (a+b x)}{48 x}+\frac{3 b^2 \sinh (3 a+3 b x)}{32 x}-\frac{25 b^2 \sinh (5 a+5 b x)}{96 x}+\frac{\sinh (a+b x)}{24 x^3}+\frac{\sinh (3 a+3 b x)}{48 x^3}-\frac{\sinh (5 a+5 b x)}{48 x^3}+\frac{b \cosh (a+b x)}{48 x^2}+\frac{b \cosh (3 a+3 b x)}{32 x^2}-\frac{5 b \cosh (5 a+5 b x)}{96 x^2}","-\frac{1}{48} b^3 \cosh (a) \text{Chi}(b x)-\frac{9}{32} b^3 \cosh (3 a) \text{Chi}(3 b x)+\frac{125}{96} b^3 \cosh (5 a) \text{Chi}(5 b x)-\frac{1}{48} b^3 \sinh (a) \text{Shi}(b x)-\frac{9}{32} b^3 \sinh (3 a) \text{Shi}(3 b x)+\frac{125}{96} b^3 \sinh (5 a) \text{Shi}(5 b x)+\frac{b^2 \sinh (a+b x)}{48 x}+\frac{3 b^2 \sinh (3 a+3 b x)}{32 x}-\frac{25 b^2 \sinh (5 a+5 b x)}{96 x}+\frac{\sinh (a+b x)}{24 x^3}+\frac{\sinh (3 a+3 b x)}{48 x^3}-\frac{\sinh (5 a+5 b x)}{48 x^3}+\frac{b \cosh (a+b x)}{48 x^2}+\frac{b \cosh (3 a+3 b x)}{32 x^2}-\frac{5 b \cosh (5 a+5 b x)}{96 x^2}",1,"(b*Cosh[a + b*x])/(48*x^2) + (b*Cosh[3*a + 3*b*x])/(32*x^2) - (5*b*Cosh[5*a + 5*b*x])/(96*x^2) - (b^3*Cosh[a]*CoshIntegral[b*x])/48 - (9*b^3*Cosh[3*a]*CoshIntegral[3*b*x])/32 + (125*b^3*Cosh[5*a]*CoshIntegral[5*b*x])/96 + Sinh[a + b*x]/(24*x^3) + (b^2*Sinh[a + b*x])/(48*x) + Sinh[3*a + 3*b*x]/(48*x^3) + (3*b^2*Sinh[3*a + 3*b*x])/(32*x) - Sinh[5*a + 5*b*x]/(48*x^3) - (25*b^2*Sinh[5*a + 5*b*x])/(96*x) - (b^3*Sinh[a]*SinhIntegral[b*x])/48 - (9*b^3*Sinh[3*a]*SinhIntegral[3*b*x])/32 + (125*b^3*Sinh[5*a]*SinhIntegral[5*b*x])/96","A",20,5,20,0.2500,1,"{5448, 3297, 3303, 3298, 3301}"
325,1,155,0,0.2434861,"\int x^m \cosh ^3(a+b x) \sinh ^3(a+b x) \, dx","Int[x^m*Cosh[a + b*x]^3*Sinh[a + b*x]^3,x]","\frac{e^{6 a} 2^{-m-7} 3^{-m-1} x^m (-b x)^{-m} \text{Gamma}(m+1,-6 b x)}{b}-\frac{3 e^{2 a} 2^{-m-7} x^m (-b x)^{-m} \text{Gamma}(m+1,-2 b x)}{b}-\frac{3 e^{-2 a} 2^{-m-7} x^m (b x)^{-m} \text{Gamma}(m+1,2 b x)}{b}+\frac{e^{-6 a} 2^{-m-7} 3^{-m-1} x^m (b x)^{-m} \text{Gamma}(m+1,6 b x)}{b}","\frac{e^{6 a} 2^{-m-7} 3^{-m-1} x^m (-b x)^{-m} \text{Gamma}(m+1,-6 b x)}{b}-\frac{3 e^{2 a} 2^{-m-7} x^m (-b x)^{-m} \text{Gamma}(m+1,-2 b x)}{b}-\frac{3 e^{-2 a} 2^{-m-7} x^m (b x)^{-m} \text{Gamma}(m+1,2 b x)}{b}+\frac{e^{-6 a} 2^{-m-7} 3^{-m-1} x^m (b x)^{-m} \text{Gamma}(m+1,6 b x)}{b}",1,"(2^(-7 - m)*3^(-1 - m)*E^(6*a)*x^m*Gamma[1 + m, -6*b*x])/(b*(-(b*x))^m) - (3*2^(-7 - m)*E^(2*a)*x^m*Gamma[1 + m, -2*b*x])/(b*(-(b*x))^m) - (3*2^(-7 - m)*x^m*Gamma[1 + m, 2*b*x])/(b*E^(2*a)*(b*x)^m) + (2^(-7 - m)*3^(-1 - m)*x^m*Gamma[1 + m, 6*b*x])/(b*E^(6*a)*(b*x)^m)","A",8,3,20,0.1500,1,"{5448, 3308, 2181}"
326,1,143,0,0.1972041,"\int x^3 \cosh ^3(a+b x) \sinh ^3(a+b x) \, dx","Int[x^3*Cosh[a + b*x]^3*Sinh[a + b*x]^3,x]","\frac{9 x^2 \sinh (2 a+2 b x)}{128 b^2}-\frac{x^2 \sinh (6 a+6 b x)}{384 b^2}+\frac{9 \sinh (2 a+2 b x)}{256 b^4}-\frac{\sinh (6 a+6 b x)}{6912 b^4}-\frac{9 x \cosh (2 a+2 b x)}{128 b^3}+\frac{x \cosh (6 a+6 b x)}{1152 b^3}-\frac{3 x^3 \cosh (2 a+2 b x)}{64 b}+\frac{x^3 \cosh (6 a+6 b x)}{192 b}","\frac{9 x^2 \sinh (2 a+2 b x)}{128 b^2}-\frac{x^2 \sinh (6 a+6 b x)}{384 b^2}+\frac{9 \sinh (2 a+2 b x)}{256 b^4}-\frac{\sinh (6 a+6 b x)}{6912 b^4}-\frac{9 x \cosh (2 a+2 b x)}{128 b^3}+\frac{x \cosh (6 a+6 b x)}{1152 b^3}-\frac{3 x^3 \cosh (2 a+2 b x)}{64 b}+\frac{x^3 \cosh (6 a+6 b x)}{192 b}",1,"(-9*x*Cosh[2*a + 2*b*x])/(128*b^3) - (3*x^3*Cosh[2*a + 2*b*x])/(64*b) + (x*Cosh[6*a + 6*b*x])/(1152*b^3) + (x^3*Cosh[6*a + 6*b*x])/(192*b) + (9*Sinh[2*a + 2*b*x])/(256*b^4) + (9*x^2*Sinh[2*a + 2*b*x])/(128*b^2) - Sinh[6*a + 6*b*x]/(6912*b^4) - (x^2*Sinh[6*a + 6*b*x])/(384*b^2)","A",10,3,20,0.1500,1,"{5448, 3296, 2637}"
327,1,105,0,0.1400262,"\int x^2 \cosh ^3(a+b x) \sinh ^3(a+b x) \, dx","Int[x^2*Cosh[a + b*x]^3*Sinh[a + b*x]^3,x]","\frac{3 x \sinh (2 a+2 b x)}{64 b^2}-\frac{x \sinh (6 a+6 b x)}{576 b^2}-\frac{3 \cosh (2 a+2 b x)}{128 b^3}+\frac{\cosh (6 a+6 b x)}{3456 b^3}-\frac{3 x^2 \cosh (2 a+2 b x)}{64 b}+\frac{x^2 \cosh (6 a+6 b x)}{192 b}","\frac{3 x \sinh (2 a+2 b x)}{64 b^2}-\frac{x \sinh (6 a+6 b x)}{576 b^2}-\frac{3 \cosh (2 a+2 b x)}{128 b^3}+\frac{\cosh (6 a+6 b x)}{3456 b^3}-\frac{3 x^2 \cosh (2 a+2 b x)}{64 b}+\frac{x^2 \cosh (6 a+6 b x)}{192 b}",1,"(-3*Cosh[2*a + 2*b*x])/(128*b^3) - (3*x^2*Cosh[2*a + 2*b*x])/(64*b) + Cosh[6*a + 6*b*x]/(3456*b^3) + (x^2*Cosh[6*a + 6*b*x])/(192*b) + (3*x*Sinh[2*a + 2*b*x])/(64*b^2) - (x*Sinh[6*a + 6*b*x])/(576*b^2)","A",8,3,20,0.1500,1,"{5448, 3296, 2638}"
328,1,67,0,0.0726938,"\int x \cosh ^3(a+b x) \sinh ^3(a+b x) \, dx","Int[x*Cosh[a + b*x]^3*Sinh[a + b*x]^3,x]","\frac{3 \sinh (2 a+2 b x)}{128 b^2}-\frac{\sinh (6 a+6 b x)}{1152 b^2}-\frac{3 x \cosh (2 a+2 b x)}{64 b}+\frac{x \cosh (6 a+6 b x)}{192 b}","\frac{3 \sinh (2 a+2 b x)}{128 b^2}-\frac{\sinh (6 a+6 b x)}{1152 b^2}-\frac{3 x \cosh (2 a+2 b x)}{64 b}+\frac{x \cosh (6 a+6 b x)}{192 b}",1,"(-3*x*Cosh[2*a + 2*b*x])/(64*b) + (x*Cosh[6*a + 6*b*x])/(192*b) + (3*Sinh[2*a + 2*b*x])/(128*b^2) - Sinh[6*a + 6*b*x]/(1152*b^2)","A",6,3,18,0.1667,1,"{5448, 3296, 2637}"
329,1,31,0,0.036688,"\int \cosh ^3(a+b x) \sinh ^3(a+b x) \, dx","Int[Cosh[a + b*x]^3*Sinh[a + b*x]^3,x]","\frac{\sinh ^6(a+b x)}{6 b}+\frac{\sinh ^4(a+b x)}{4 b}","\frac{\sinh ^6(a+b x)}{6 b}+\frac{\sinh ^4(a+b x)}{4 b}",1,"Sinh[a + b*x]^4/(4*b) + Sinh[a + b*x]^6/(6*b)","A",3,2,17,0.1176,1,"{2564, 14}"
330,1,53,0,0.1570502,"\int \frac{\cosh ^3(a+b x) \sinh ^3(a+b x)}{x} \, dx","Int[(Cosh[a + b*x]^3*Sinh[a + b*x]^3)/x,x]","-\frac{3}{32} \sinh (2 a) \text{Chi}(2 b x)+\frac{1}{32} \sinh (6 a) \text{Chi}(6 b x)-\frac{3}{32} \cosh (2 a) \text{Shi}(2 b x)+\frac{1}{32} \cosh (6 a) \text{Shi}(6 b x)","-\frac{3}{32} \sinh (2 a) \text{Chi}(2 b x)+\frac{1}{32} \sinh (6 a) \text{Chi}(6 b x)-\frac{3}{32} \cosh (2 a) \text{Shi}(2 b x)+\frac{1}{32} \cosh (6 a) \text{Shi}(6 b x)",1,"(-3*CoshIntegral[2*b*x]*Sinh[2*a])/32 + (CoshIntegral[6*b*x]*Sinh[6*a])/32 - (3*Cosh[2*a]*SinhIntegral[2*b*x])/32 + (Cosh[6*a]*SinhIntegral[6*b*x])/32","A",8,4,20,0.2000,1,"{5448, 3303, 3298, 3301}"
331,1,89,0,0.1957595,"\int \frac{\cosh ^3(a+b x) \sinh ^3(a+b x)}{x^2} \, dx","Int[(Cosh[a + b*x]^3*Sinh[a + b*x]^3)/x^2,x]","-\frac{3}{16} b \cosh (2 a) \text{Chi}(2 b x)+\frac{3}{16} b \cosh (6 a) \text{Chi}(6 b x)-\frac{3}{16} b \sinh (2 a) \text{Shi}(2 b x)+\frac{3}{16} b \sinh (6 a) \text{Shi}(6 b x)+\frac{3 \sinh (2 a+2 b x)}{32 x}-\frac{\sinh (6 a+6 b x)}{32 x}","-\frac{3}{16} b \cosh (2 a) \text{Chi}(2 b x)+\frac{3}{16} b \cosh (6 a) \text{Chi}(6 b x)-\frac{3}{16} b \sinh (2 a) \text{Shi}(2 b x)+\frac{3}{16} b \sinh (6 a) \text{Shi}(6 b x)+\frac{3 \sinh (2 a+2 b x)}{32 x}-\frac{\sinh (6 a+6 b x)}{32 x}",1,"(-3*b*Cosh[2*a]*CoshIntegral[2*b*x])/16 + (3*b*Cosh[6*a]*CoshIntegral[6*b*x])/16 + (3*Sinh[2*a + 2*b*x])/(32*x) - Sinh[6*a + 6*b*x]/(32*x) - (3*b*Sinh[2*a]*SinhIntegral[2*b*x])/16 + (3*b*Sinh[6*a]*SinhIntegral[6*b*x])/16","A",10,5,20,0.2500,1,"{5448, 3297, 3303, 3298, 3301}"
332,1,131,0,0.2569695,"\int \frac{\cosh ^3(a+b x) \sinh ^3(a+b x)}{x^3} \, dx","Int[(Cosh[a + b*x]^3*Sinh[a + b*x]^3)/x^3,x]","-\frac{3}{16} b^2 \sinh (2 a) \text{Chi}(2 b x)+\frac{9}{16} b^2 \sinh (6 a) \text{Chi}(6 b x)-\frac{3}{16} b^2 \cosh (2 a) \text{Shi}(2 b x)+\frac{9}{16} b^2 \cosh (6 a) \text{Shi}(6 b x)+\frac{3 \sinh (2 a+2 b x)}{64 x^2}-\frac{\sinh (6 a+6 b x)}{64 x^2}+\frac{3 b \cosh (2 a+2 b x)}{32 x}-\frac{3 b \cosh (6 a+6 b x)}{32 x}","-\frac{3}{16} b^2 \sinh (2 a) \text{Chi}(2 b x)+\frac{9}{16} b^2 \sinh (6 a) \text{Chi}(6 b x)-\frac{3}{16} b^2 \cosh (2 a) \text{Shi}(2 b x)+\frac{9}{16} b^2 \cosh (6 a) \text{Shi}(6 b x)+\frac{3 \sinh (2 a+2 b x)}{64 x^2}-\frac{\sinh (6 a+6 b x)}{64 x^2}+\frac{3 b \cosh (2 a+2 b x)}{32 x}-\frac{3 b \cosh (6 a+6 b x)}{32 x}",1,"(3*b*Cosh[2*a + 2*b*x])/(32*x) - (3*b*Cosh[6*a + 6*b*x])/(32*x) - (3*b^2*CoshIntegral[2*b*x]*Sinh[2*a])/16 + (9*b^2*CoshIntegral[6*b*x]*Sinh[6*a])/16 + (3*Sinh[2*a + 2*b*x])/(64*x^2) - Sinh[6*a + 6*b*x]/(64*x^2) - (3*b^2*Cosh[2*a]*SinhIntegral[2*b*x])/16 + (9*b^2*Cosh[6*a]*SinhIntegral[6*b*x])/16","A",12,5,20,0.2500,1,"{5448, 3297, 3303, 3298, 3301}"
333,1,169,0,0.3151374,"\int \frac{\cosh ^3(a+b x) \sinh ^3(a+b x)}{x^4} \, dx","Int[(Cosh[a + b*x]^3*Sinh[a + b*x]^3)/x^4,x]","-\frac{1}{8} b^3 \cosh (2 a) \text{Chi}(2 b x)+\frac{9}{8} b^3 \cosh (6 a) \text{Chi}(6 b x)-\frac{1}{8} b^3 \sinh (2 a) \text{Shi}(2 b x)+\frac{9}{8} b^3 \sinh (6 a) \text{Shi}(6 b x)+\frac{b^2 \sinh (2 a+2 b x)}{16 x}-\frac{3 b^2 \sinh (6 a+6 b x)}{16 x}+\frac{\sinh (2 a+2 b x)}{32 x^3}-\frac{\sinh (6 a+6 b x)}{96 x^3}+\frac{b \cosh (2 a+2 b x)}{32 x^2}-\frac{b \cosh (6 a+6 b x)}{32 x^2}","-\frac{1}{8} b^3 \cosh (2 a) \text{Chi}(2 b x)+\frac{9}{8} b^3 \cosh (6 a) \text{Chi}(6 b x)-\frac{1}{8} b^3 \sinh (2 a) \text{Shi}(2 b x)+\frac{9}{8} b^3 \sinh (6 a) \text{Shi}(6 b x)+\frac{b^2 \sinh (2 a+2 b x)}{16 x}-\frac{3 b^2 \sinh (6 a+6 b x)}{16 x}+\frac{\sinh (2 a+2 b x)}{32 x^3}-\frac{\sinh (6 a+6 b x)}{96 x^3}+\frac{b \cosh (2 a+2 b x)}{32 x^2}-\frac{b \cosh (6 a+6 b x)}{32 x^2}",1,"(b*Cosh[2*a + 2*b*x])/(32*x^2) - (b*Cosh[6*a + 6*b*x])/(32*x^2) - (b^3*Cosh[2*a]*CoshIntegral[2*b*x])/8 + (9*b^3*Cosh[6*a]*CoshIntegral[6*b*x])/8 + Sinh[2*a + 2*b*x]/(32*x^3) + (b^2*Sinh[2*a + 2*b*x])/(16*x) - Sinh[6*a + 6*b*x]/(96*x^3) - (3*b^2*Sinh[6*a + 6*b*x])/(16*x) - (b^3*Sinh[2*a]*SinhIntegral[2*b*x])/8 + (9*b^3*Sinh[6*a]*SinhIntegral[6*b*x])/8","A",14,5,20,0.2500,1,"{5448, 3297, 3303, 3298, 3301}"
334,0,0,0,0.0169331,"\int x^m \tanh (a+b x) \, dx","Int[x^m*Tanh[a + b*x],x]","\int x^m \tanh (a+b x) \, dx","\text{Int}\left(x^m \tanh (a+b x),x\right)",0,"Defer[Int][x^m*Tanh[a + b*x], x]","A",0,0,0,0,-1,"{}"
335,1,91,0,0.1599988,"\int x^3 \tanh (a+b x) \, dx","Int[x^3*Tanh[a + b*x],x]","\frac{3 x^2 \text{PolyLog}\left(2,-e^{2 (a+b x)}\right)}{2 b^2}-\frac{3 x \text{PolyLog}\left(3,-e^{2 (a+b x)}\right)}{2 b^3}+\frac{3 \text{PolyLog}\left(4,-e^{2 (a+b x)}\right)}{4 b^4}+\frac{x^3 \log \left(e^{2 (a+b x)}+1\right)}{b}-\frac{x^4}{4}","\frac{3 x^2 \text{PolyLog}\left(2,-e^{2 (a+b x)}\right)}{2 b^2}-\frac{3 x \text{PolyLog}\left(3,-e^{2 (a+b x)}\right)}{2 b^3}+\frac{3 \text{PolyLog}\left(4,-e^{2 (a+b x)}\right)}{4 b^4}+\frac{x^3 \log \left(e^{2 (a+b x)}+1\right)}{b}-\frac{x^4}{4}",1,"-x^4/4 + (x^3*Log[1 + E^(2*(a + b*x))])/b + (3*x^2*PolyLog[2, -E^(2*(a + b*x))])/(2*b^2) - (3*x*PolyLog[3, -E^(2*(a + b*x))])/(2*b^3) + (3*PolyLog[4, -E^(2*(a + b*x))])/(4*b^4)","A",6,6,10,0.6000,1,"{3718, 2190, 2531, 6609, 2282, 6589}"
336,1,65,0,0.1352246,"\int x^2 \tanh (a+b x) \, dx","Int[x^2*Tanh[a + b*x],x]","\frac{x \text{PolyLog}\left(2,-e^{2 (a+b x)}\right)}{b^2}-\frac{\text{PolyLog}\left(3,-e^{2 (a+b x)}\right)}{2 b^3}+\frac{x^2 \log \left(e^{2 (a+b x)}+1\right)}{b}-\frac{x^3}{3}","\frac{x \text{PolyLog}\left(2,-e^{2 (a+b x)}\right)}{b^2}-\frac{\text{PolyLog}\left(3,-e^{2 (a+b x)}\right)}{2 b^3}+\frac{x^2 \log \left(e^{2 (a+b x)}+1\right)}{b}-\frac{x^3}{3}",1,"-x^3/3 + (x^2*Log[1 + E^(2*(a + b*x))])/b + (x*PolyLog[2, -E^(2*(a + b*x))])/b^2 - PolyLog[3, -E^(2*(a + b*x))]/(2*b^3)","A",5,5,10,0.5000,1,"{3718, 2190, 2531, 2282, 6589}"
337,1,45,0,0.0824533,"\int x \tanh (a+b x) \, dx","Int[x*Tanh[a + b*x],x]","\frac{\text{PolyLog}\left(2,-e^{2 (a+b x)}\right)}{2 b^2}+\frac{x \log \left(e^{2 (a+b x)}+1\right)}{b}-\frac{x^2}{2}","\frac{\text{PolyLog}\left(2,-e^{2 (a+b x)}\right)}{2 b^2}+\frac{x \log \left(e^{2 (a+b x)}+1\right)}{b}-\frac{x^2}{2}",1,"-x^2/2 + (x*Log[1 + E^(2*(a + b*x))])/b + PolyLog[2, -E^(2*(a + b*x))]/(2*b^2)","A",4,4,8,0.5000,1,"{3718, 2190, 2279, 2391}"
338,1,11,0,0.0062648,"\int \tanh (a+b x) \, dx","Int[Tanh[a + b*x],x]","\frac{\log (\cosh (a+b x))}{b}","\frac{\log (\cosh (a+b x))}{b}",1,"Log[Cosh[a + b*x]]/b","A",1,1,6,0.1667,1,"{3475}"
339,0,0,0,0.0181615,"\int \frac{\tanh (a+b x)}{x} \, dx","Int[Tanh[a + b*x]/x,x]","\int \frac{\tanh (a+b x)}{x} \, dx","\text{Int}\left(\frac{\tanh (a+b x)}{x},x\right)",0,"Defer[Int][Tanh[a + b*x]/x, x]","A",0,0,0,0,-1,"{}"
340,0,0,0,0.0172607,"\int \frac{\tanh (a+b x)}{x^2} \, dx","Int[Tanh[a + b*x]/x^2,x]","\int \frac{\tanh (a+b x)}{x^2} \, dx","\text{Int}\left(\frac{\tanh (a+b x)}{x^2},x\right)",0,"Defer[Int][Tanh[a + b*x]/x^2, x]","A",0,0,0,0,-1,"{}"
341,0,0,0,0.394424,"\int x^m \text{sech}(a+b x) \tanh (a+b x) \, dx","Int[x^m*Sech[a + b*x]*Tanh[a + b*x],x]","\int x^m \text{sech}(a+b x) \tanh (a+b x) \, dx","\text{Int}\left(x^m \tanh (a+b x) \text{sech}(a+b x),x\right)",0,"Defer[Int][x^m*Sech[a + b*x]*Tanh[a + b*x], x]","A",0,0,0,0,-1,"{}"
342,1,113,0,0.1052839,"\int x^3 \text{sech}(a+b x) \tanh (a+b x) \, dx","Int[x^3*Sech[a + b*x]*Tanh[a + b*x],x]","-\frac{6 i x \text{PolyLog}\left(2,-i e^{a+b x}\right)}{b^3}+\frac{6 i x \text{PolyLog}\left(2,i e^{a+b x}\right)}{b^3}+\frac{6 i \text{PolyLog}\left(3,-i e^{a+b x}\right)}{b^4}-\frac{6 i \text{PolyLog}\left(3,i e^{a+b x}\right)}{b^4}+\frac{6 x^2 \tan ^{-1}\left(e^{a+b x}\right)}{b^2}-\frac{x^3 \text{sech}(a+b x)}{b}","-\frac{6 i x \text{PolyLog}\left(2,-i e^{a+b x}\right)}{b^3}+\frac{6 i x \text{PolyLog}\left(2,i e^{a+b x}\right)}{b^3}+\frac{6 i \text{PolyLog}\left(3,-i e^{a+b x}\right)}{b^4}-\frac{6 i \text{PolyLog}\left(3,i e^{a+b x}\right)}{b^4}+\frac{6 x^2 \tan ^{-1}\left(e^{a+b x}\right)}{b^2}-\frac{x^3 \text{sech}(a+b x)}{b}",1,"(6*x^2*ArcTan[E^(a + b*x)])/b^2 - ((6*I)*x*PolyLog[2, (-I)*E^(a + b*x)])/b^3 + ((6*I)*x*PolyLog[2, I*E^(a + b*x)])/b^3 + ((6*I)*PolyLog[3, (-I)*E^(a + b*x)])/b^4 - ((6*I)*PolyLog[3, I*E^(a + b*x)])/b^4 - (x^3*Sech[a + b*x])/b","A",8,5,16,0.3125,1,"{5418, 4180, 2531, 2282, 6589}"
343,1,69,0,0.0614134,"\int x^2 \text{sech}(a+b x) \tanh (a+b x) \, dx","Int[x^2*Sech[a + b*x]*Tanh[a + b*x],x]","-\frac{2 i \text{PolyLog}\left(2,-i e^{a+b x}\right)}{b^3}+\frac{2 i \text{PolyLog}\left(2,i e^{a+b x}\right)}{b^3}+\frac{4 x \tan ^{-1}\left(e^{a+b x}\right)}{b^2}-\frac{x^2 \text{sech}(a+b x)}{b}","-\frac{2 i \text{PolyLog}\left(2,-i e^{a+b x}\right)}{b^3}+\frac{2 i \text{PolyLog}\left(2,i e^{a+b x}\right)}{b^3}+\frac{4 x \tan ^{-1}\left(e^{a+b x}\right)}{b^2}-\frac{x^2 \text{sech}(a+b x)}{b}",1,"(4*x*ArcTan[E^(a + b*x)])/b^2 - ((2*I)*PolyLog[2, (-I)*E^(a + b*x)])/b^3 + ((2*I)*PolyLog[2, I*E^(a + b*x)])/b^3 - (x^2*Sech[a + b*x])/b","A",6,4,16,0.2500,1,"{5418, 4180, 2279, 2391}"
344,1,24,0,0.0190941,"\int x \text{sech}(a+b x) \tanh (a+b x) \, dx","Int[x*Sech[a + b*x]*Tanh[a + b*x],x]","\frac{\tan ^{-1}(\sinh (a+b x))}{b^2}-\frac{x \text{sech}(a+b x)}{b}","\frac{\tan ^{-1}(\sinh (a+b x))}{b^2}-\frac{x \text{sech}(a+b x)}{b}",1,"ArcTan[Sinh[a + b*x]]/b^2 - (x*Sech[a + b*x])/b","A",2,2,14,0.1429,1,"{5418, 3770}"
345,1,11,0,0.0149236,"\int \text{sech}(a+b x) \tanh (a+b x) \, dx","Int[Sech[a + b*x]*Tanh[a + b*x],x]","-\frac{\text{sech}(a+b x)}{b}","-\frac{\text{sech}(a+b x)}{b}",1,"-(Sech[a + b*x]/b)","A",2,2,13,0.1538,1,"{2606, 8}"
346,0,0,0,0.1764919,"\int \frac{\text{sech}(a+b x) \tanh (a+b x)}{x} \, dx","Int[(Sech[a + b*x]*Tanh[a + b*x])/x,x]","\int \frac{\text{sech}(a+b x) \tanh (a+b x)}{x} \, dx","\text{Int}\left(\frac{\tanh (a+b x) \text{sech}(a+b x)}{x},x\right)",0,"Defer[Int][(Sech[a + b*x]*Tanh[a + b*x])/x, x]","A",0,0,0,0,-1,"{}"
347,0,0,0,0.1961147,"\int \frac{\text{sech}(a+b x) \tanh (a+b x)}{x^2} \, dx","Int[(Sech[a + b*x]*Tanh[a + b*x])/x^2,x]","\int \frac{\text{sech}(a+b x) \tanh (a+b x)}{x^2} \, dx","\text{Int}\left(\frac{\tanh (a+b x) \text{sech}(a+b x)}{x^2},x\right)",0,"Defer[Int][(Sech[a + b*x]*Tanh[a + b*x])/x^2, x]","A",0,0,0,0,-1,"{}"
348,0,0,0,0.4695543,"\int x^m \text{sech}^2(a+b x) \tanh (a+b x) \, dx","Int[x^m*Sech[a + b*x]^2*Tanh[a + b*x],x]","\int x^m \text{sech}^2(a+b x) \tanh (a+b x) \, dx","\text{Int}\left(x^m \tanh (a+b x) \text{sech}^2(a+b x),x\right)",0,"Defer[Int][x^m*Sech[a + b*x]^2*Tanh[a + b*x], x]","A",0,0,0,0,-1,"{}"
349,1,83,0,0.182871,"\int x^3 \text{sech}^2(a+b x) \tanh (a+b x) \, dx","Int[x^3*Sech[a + b*x]^2*Tanh[a + b*x],x]","-\frac{3 \text{PolyLog}\left(2,-e^{2 (a+b x)}\right)}{2 b^4}+\frac{3 x^2 \tanh (a+b x)}{2 b^2}-\frac{3 x \log \left(e^{2 (a+b x)}+1\right)}{b^3}-\frac{x^3 \text{sech}^2(a+b x)}{2 b}+\frac{3 x^2}{2 b^2}","-\frac{3 \text{PolyLog}\left(2,-e^{2 (a+b x)}\right)}{2 b^4}+\frac{3 x^2 \tanh (a+b x)}{2 b^2}-\frac{3 x \log \left(e^{2 (a+b x)}+1\right)}{b^3}-\frac{x^3 \text{sech}^2(a+b x)}{2 b}+\frac{3 x^2}{2 b^2}",1,"(3*x^2)/(2*b^2) - (3*x*Log[1 + E^(2*(a + b*x))])/b^3 - (3*PolyLog[2, -E^(2*(a + b*x))])/(2*b^4) - (x^3*Sech[a + b*x]^2)/(2*b) + (3*x^2*Tanh[a + b*x])/(2*b^2)","A",6,6,18,0.3333,1,"{5418, 4184, 3718, 2190, 2279, 2391}"
350,1,42,0,0.0610636,"\int x^2 \text{sech}^2(a+b x) \tanh (a+b x) \, dx","Int[x^2*Sech[a + b*x]^2*Tanh[a + b*x],x]","\frac{x \tanh (a+b x)}{b^2}-\frac{\log (\cosh (a+b x))}{b^3}-\frac{x^2 \text{sech}^2(a+b x)}{2 b}","\frac{x \tanh (a+b x)}{b^2}-\frac{\log (\cosh (a+b x))}{b^3}-\frac{x^2 \text{sech}^2(a+b x)}{2 b}",1,"-(Log[Cosh[a + b*x]]/b^3) - (x^2*Sech[a + b*x]^2)/(2*b) + (x*Tanh[a + b*x])/b^2","A",3,3,18,0.1667,1,"{5418, 4184, 3475}"
351,1,30,0,0.0304105,"\int x \text{sech}^2(a+b x) \tanh (a+b x) \, dx","Int[x*Sech[a + b*x]^2*Tanh[a + b*x],x]","\frac{\tanh (a+b x)}{2 b^2}-\frac{x \text{sech}^2(a+b x)}{2 b}","\frac{\tanh (a+b x)}{2 b^2}-\frac{x \text{sech}^2(a+b x)}{2 b}",1,"-(x*Sech[a + b*x]^2)/(2*b) + Tanh[a + b*x]/(2*b^2)","A",3,3,16,0.1875,1,"{5418, 3767, 8}"
352,1,15,0,0.0208823,"\int \text{sech}^2(a+b x) \tanh (a+b x) \, dx","Int[Sech[a + b*x]^2*Tanh[a + b*x],x]","-\frac{\text{sech}^2(a+b x)}{2 b}","-\frac{\text{sech}^2(a+b x)}{2 b}",1,"-Sech[a + b*x]^2/(2*b)","A",2,2,15,0.1333,1,"{2606, 30}"
353,0,0,0,0.1820052,"\int \frac{\text{sech}^2(a+b x) \tanh (a+b x)}{x} \, dx","Int[(Sech[a + b*x]^2*Tanh[a + b*x])/x,x]","\int \frac{\text{sech}^2(a+b x) \tanh (a+b x)}{x} \, dx","\text{Int}\left(\frac{\tanh (a+b x) \text{sech}^2(a+b x)}{x},x\right)",0,"Defer[Int][(Sech[a + b*x]^2*Tanh[a + b*x])/x, x]","A",0,0,0,0,-1,"{}"
354,0,0,0,0.2148942,"\int \frac{\text{sech}^2(a+b x) \tanh (a+b x)}{x^2} \, dx","Int[(Sech[a + b*x]^2*Tanh[a + b*x])/x^2,x]","\int \frac{\text{sech}^2(a+b x) \tanh (a+b x)}{x^2} \, dx","\text{Int}\left(\frac{\tanh (a+b x) \text{sech}^2(a+b x)}{x^2},x\right)",0,"Defer[Int][(Sech[a + b*x]^2*Tanh[a + b*x])/x^2, x]","A",0,0,0,0,-1,"{}"
355,0,0,0,0.1061971,"\int x^m \sinh (a+b x) \tanh (a+b x) \, dx","Int[x^m*Sinh[a + b*x]*Tanh[a + b*x],x]","\int x^m \sinh (a+b x) \tanh (a+b x) \, dx","-\text{Int}\left(x^m \text{sech}(a+b x),x\right)+\frac{e^a x^m (-b x)^{-m} \text{Gamma}(m+1,-b x)}{2 b}-\frac{e^{-a} x^m (b x)^{-m} \text{Gamma}(m+1,b x)}{2 b}",0,"(E^a*x^m*Gamma[1 + m, -(b*x)])/(2*b*(-(b*x))^m) - (x^m*Gamma[1 + m, b*x])/(2*b*E^a*(b*x)^m) - Defer[Int][x^m*Sech[a + b*x], x]","A",0,0,0,0,-1,"{}"
356,1,195,0,0.1977532,"\int x^3 \sinh (a+b x) \tanh (a+b x) \, dx","Int[x^3*Sinh[a + b*x]*Tanh[a + b*x],x]","\frac{3 i x^2 \text{PolyLog}\left(2,-i e^{a+b x}\right)}{b^2}-\frac{3 i x^2 \text{PolyLog}\left(2,i e^{a+b x}\right)}{b^2}-\frac{6 i x \text{PolyLog}\left(3,-i e^{a+b x}\right)}{b^3}+\frac{6 i x \text{PolyLog}\left(3,i e^{a+b x}\right)}{b^3}+\frac{6 i \text{PolyLog}\left(4,-i e^{a+b x}\right)}{b^4}-\frac{6 i \text{PolyLog}\left(4,i e^{a+b x}\right)}{b^4}-\frac{3 x^2 \cosh (a+b x)}{b^2}+\frac{6 x \sinh (a+b x)}{b^3}-\frac{6 \cosh (a+b x)}{b^4}-\frac{2 x^3 \tan ^{-1}\left(e^{a+b x}\right)}{b}+\frac{x^3 \sinh (a+b x)}{b}","\frac{3 i x^2 \text{PolyLog}\left(2,-i e^{a+b x}\right)}{b^2}-\frac{3 i x^2 \text{PolyLog}\left(2,i e^{a+b x}\right)}{b^2}-\frac{6 i x \text{PolyLog}\left(3,-i e^{a+b x}\right)}{b^3}+\frac{6 i x \text{PolyLog}\left(3,i e^{a+b x}\right)}{b^3}+\frac{6 i \text{PolyLog}\left(4,-i e^{a+b x}\right)}{b^4}-\frac{6 i \text{PolyLog}\left(4,i e^{a+b x}\right)}{b^4}-\frac{3 x^2 \cosh (a+b x)}{b^2}+\frac{6 x \sinh (a+b x)}{b^3}-\frac{6 \cosh (a+b x)}{b^4}-\frac{2 x^3 \tan ^{-1}\left(e^{a+b x}\right)}{b}+\frac{x^3 \sinh (a+b x)}{b}",1,"(-2*x^3*ArcTan[E^(a + b*x)])/b - (6*Cosh[a + b*x])/b^4 - (3*x^2*Cosh[a + b*x])/b^2 + ((3*I)*x^2*PolyLog[2, (-I)*E^(a + b*x)])/b^2 - ((3*I)*x^2*PolyLog[2, I*E^(a + b*x)])/b^2 - ((6*I)*x*PolyLog[3, (-I)*E^(a + b*x)])/b^3 + ((6*I)*x*PolyLog[3, I*E^(a + b*x)])/b^3 + ((6*I)*PolyLog[4, (-I)*E^(a + b*x)])/b^4 - ((6*I)*PolyLog[4, I*E^(a + b*x)])/b^4 + (6*x*Sinh[a + b*x])/b^3 + (x^3*Sinh[a + b*x])/b","A",14,8,16,0.5000,1,"{5449, 3296, 2638, 4180, 2531, 6609, 2282, 6589}"
357,1,135,0,0.1297587,"\int x^2 \sinh (a+b x) \tanh (a+b x) \, dx","Int[x^2*Sinh[a + b*x]*Tanh[a + b*x],x]","\frac{2 i x \text{PolyLog}\left(2,-i e^{a+b x}\right)}{b^2}-\frac{2 i x \text{PolyLog}\left(2,i e^{a+b x}\right)}{b^2}-\frac{2 i \text{PolyLog}\left(3,-i e^{a+b x}\right)}{b^3}+\frac{2 i \text{PolyLog}\left(3,i e^{a+b x}\right)}{b^3}+\frac{2 \sinh (a+b x)}{b^3}-\frac{2 x \cosh (a+b x)}{b^2}-\frac{2 x^2 \tan ^{-1}\left(e^{a+b x}\right)}{b}+\frac{x^2 \sinh (a+b x)}{b}","\frac{2 i x \text{PolyLog}\left(2,-i e^{a+b x}\right)}{b^2}-\frac{2 i x \text{PolyLog}\left(2,i e^{a+b x}\right)}{b^2}-\frac{2 i \text{PolyLog}\left(3,-i e^{a+b x}\right)}{b^3}+\frac{2 i \text{PolyLog}\left(3,i e^{a+b x}\right)}{b^3}+\frac{2 \sinh (a+b x)}{b^3}-\frac{2 x \cosh (a+b x)}{b^2}-\frac{2 x^2 \tan ^{-1}\left(e^{a+b x}\right)}{b}+\frac{x^2 \sinh (a+b x)}{b}",1,"(-2*x^2*ArcTan[E^(a + b*x)])/b - (2*x*Cosh[a + b*x])/b^2 + ((2*I)*x*PolyLog[2, (-I)*E^(a + b*x)])/b^2 - ((2*I)*x*PolyLog[2, I*E^(a + b*x)])/b^2 - ((2*I)*PolyLog[3, (-I)*E^(a + b*x)])/b^3 + ((2*I)*PolyLog[3, I*E^(a + b*x)])/b^3 + (2*Sinh[a + b*x])/b^3 + (x^2*Sinh[a + b*x])/b","A",11,7,16,0.4375,1,"{5449, 3296, 2637, 4180, 2531, 2282, 6589}"
358,1,77,0,0.0637488,"\int x \sinh (a+b x) \tanh (a+b x) \, dx","Int[x*Sinh[a + b*x]*Tanh[a + b*x],x]","\frac{i \text{PolyLog}\left(2,-i e^{a+b x}\right)}{b^2}-\frac{i \text{PolyLog}\left(2,i e^{a+b x}\right)}{b^2}-\frac{\cosh (a+b x)}{b^2}-\frac{2 x \tan ^{-1}\left(e^{a+b x}\right)}{b}+\frac{x \sinh (a+b x)}{b}","\frac{i \text{PolyLog}\left(2,-i e^{a+b x}\right)}{b^2}-\frac{i \text{PolyLog}\left(2,i e^{a+b x}\right)}{b^2}-\frac{\cosh (a+b x)}{b^2}-\frac{2 x \tan ^{-1}\left(e^{a+b x}\right)}{b}+\frac{x \sinh (a+b x)}{b}",1,"(-2*x*ArcTan[E^(a + b*x)])/b - Cosh[a + b*x]/b^2 + (I*PolyLog[2, (-I)*E^(a + b*x)])/b^2 - (I*PolyLog[2, I*E^(a + b*x)])/b^2 + (x*Sinh[a + b*x])/b","A",8,6,14,0.4286,1,"{5449, 3296, 2638, 4180, 2279, 2391}"
359,1,23,0,0.0154926,"\int \sinh (a+b x) \tanh (a+b x) \, dx","Int[Sinh[a + b*x]*Tanh[a + b*x],x]","\frac{\sinh (a+b x)}{b}-\frac{\tan ^{-1}(\sinh (a+b x))}{b}","\frac{\sinh (a+b x)}{b}-\frac{\tan ^{-1}(\sinh (a+b x))}{b}",1,"-(ArcTan[Sinh[a + b*x]]/b) + Sinh[a + b*x]/b","A",3,3,13,0.2308,1,"{2592, 321, 203}"
360,0,0,0,0.0859443,"\int \frac{\sinh (a+b x) \tanh (a+b x)}{x} \, dx","Int[(Sinh[a + b*x]*Tanh[a + b*x])/x,x]","\int \frac{\sinh (a+b x) \tanh (a+b x)}{x} \, dx","-\text{Int}\left(\frac{\text{sech}(a+b x)}{x},x\right)+\cosh (a) \text{Chi}(b x)+\sinh (a) \text{Shi}(b x)",0,"Cosh[a]*CoshIntegral[b*x] + Sinh[a]*SinhIntegral[b*x] - Defer[Int][Sech[a + b*x]/x, x]","A",0,0,0,0,-1,"{}"
361,0,0,0,0.1068843,"\int \frac{\sinh (a+b x) \tanh (a+b x)}{x^2} \, dx","Int[(Sinh[a + b*x]*Tanh[a + b*x])/x^2,x]","\int \frac{\sinh (a+b x) \tanh (a+b x)}{x^2} \, dx","-\text{Int}\left(\frac{\text{sech}(a+b x)}{x^2},x\right)+b \sinh (a) \text{Chi}(b x)+b \cosh (a) \text{Shi}(b x)-\frac{\cosh (a+b x)}{x}",0,"-(Cosh[a + b*x]/x) + b*CoshIntegral[b*x]*Sinh[a] + b*Cosh[a]*SinhIntegral[b*x] - Defer[Int][Sech[a + b*x]/x^2, x]","A",0,0,0,0,-1,"{}"
362,0,0,0,0.0318242,"\int x^m \tanh ^2(a+b x) \, dx","Int[x^m*Tanh[a + b*x]^2,x]","\int x^m \tanh ^2(a+b x) \, dx","\text{Int}\left(x^m \tanh ^2(a+b x),x\right)",0,"Defer[Int][x^m*Tanh[a + b*x]^2, x]","A",0,0,0,0,-1,"{}"
363,1,89,0,0.1783099,"\int x^3 \tanh ^2(a+b x) \, dx","Int[x^3*Tanh[a + b*x]^2,x]","\frac{3 x \text{PolyLog}\left(2,-e^{2 (a+b x)}\right)}{b^3}-\frac{3 \text{PolyLog}\left(3,-e^{2 (a+b x)}\right)}{2 b^4}+\frac{3 x^2 \log \left(e^{2 (a+b x)}+1\right)}{b^2}-\frac{x^3 \tanh (a+b x)}{b}-\frac{x^3}{b}+\frac{x^4}{4}","\frac{3 x \text{PolyLog}\left(2,-e^{2 (a+b x)}\right)}{b^3}-\frac{3 \text{PolyLog}\left(3,-e^{2 (a+b x)}\right)}{2 b^4}+\frac{3 x^2 \log \left(e^{2 (a+b x)}+1\right)}{b^2}-\frac{x^3 \tanh (a+b x)}{b}-\frac{x^3}{b}+\frac{x^4}{4}",1,"-(x^3/b) + x^4/4 + (3*x^2*Log[1 + E^(2*(a + b*x))])/b^2 + (3*x*PolyLog[2, -E^(2*(a + b*x))])/b^3 - (3*PolyLog[3, -E^(2*(a + b*x))])/(2*b^4) - (x^3*Tanh[a + b*x])/b","A",7,7,12,0.5833,1,"{3720, 3718, 2190, 2531, 2282, 6589, 30}"
364,1,65,0,0.1181951,"\int x^2 \tanh ^2(a+b x) \, dx","Int[x^2*Tanh[a + b*x]^2,x]","\frac{\text{PolyLog}\left(2,-e^{2 (a+b x)}\right)}{b^3}+\frac{2 x \log \left(e^{2 (a+b x)}+1\right)}{b^2}-\frac{x^2 \tanh (a+b x)}{b}-\frac{x^2}{b}+\frac{x^3}{3}","\frac{\text{PolyLog}\left(2,-e^{2 (a+b x)}\right)}{b^3}+\frac{2 x \log \left(e^{2 (a+b x)}+1\right)}{b^2}-\frac{x^2 \tanh (a+b x)}{b}-\frac{x^2}{b}+\frac{x^3}{3}",1,"-(x^2/b) + x^3/3 + (2*x*Log[1 + E^(2*(a + b*x))])/b^2 + PolyLog[2, -E^(2*(a + b*x))]/b^3 - (x^2*Tanh[a + b*x])/b","A",6,6,12,0.5000,1,"{3720, 3718, 2190, 2279, 2391, 30}"
365,1,31,0,0.026975,"\int x \tanh ^2(a+b x) \, dx","Int[x*Tanh[a + b*x]^2,x]","\frac{\log (\cosh (a+b x))}{b^2}-\frac{x \tanh (a+b x)}{b}+\frac{x^2}{2}","\frac{\log (\cosh (a+b x))}{b^2}-\frac{x \tanh (a+b x)}{b}+\frac{x^2}{2}",1,"x^2/2 + Log[Cosh[a + b*x]]/b^2 - (x*Tanh[a + b*x])/b","A",3,3,10,0.3000,1,"{3720, 3475, 30}"
366,1,13,0,0.0093024,"\int \tanh ^2(a+b x) \, dx","Int[Tanh[a + b*x]^2,x]","x-\frac{\tanh (a+b x)}{b}","x-\frac{\tanh (a+b x)}{b}",1,"x - Tanh[a + b*x]/b","A",2,2,8,0.2500,1,"{3473, 8}"
367,0,0,0,0.0296648,"\int \frac{\tanh ^2(a+b x)}{x} \, dx","Int[Tanh[a + b*x]^2/x,x]","\int \frac{\tanh ^2(a+b x)}{x} \, dx","\text{Int}\left(\frac{\tanh ^2(a+b x)}{x},x\right)",0,"Defer[Int][Tanh[a + b*x]^2/x, x]","A",0,0,0,0,-1,"{}"
368,0,0,0,0.0303789,"\int \frac{\tanh ^2(a+b x)}{x^2} \, dx","Int[Tanh[a + b*x]^2/x^2,x]","\int \frac{\tanh ^2(a+b x)}{x^2} \, dx","\text{Int}\left(\frac{\tanh ^2(a+b x)}{x^2},x\right)",0,"Defer[Int][Tanh[a + b*x]^2/x^2, x]","A",0,0,0,0,-1,"{}"
369,0,0,0,0.0668012,"\int x^m \text{sech}(a+b x) \tanh ^2(a+b x) \, dx","Int[x^m*Sech[a + b*x]*Tanh[a + b*x]^2,x]","\int x^m \text{sech}(a+b x) \tanh ^2(a+b x) \, dx","\text{Int}\left(x^m \text{sech}(a+b x),x\right)-\text{Int}\left(x^m \text{sech}^3(a+b x),x\right)",0,"Defer[Int][x^m*Sech[a + b*x], x] - Defer[Int][x^m*Sech[a + b*x]^3, x]","A",0,0,0,0,-1,"{}"
370,1,240,0,0.2975739,"\int x^3 \text{sech}(a+b x) \tanh ^2(a+b x) \, dx","Int[x^3*Sech[a + b*x]*Tanh[a + b*x]^2,x]","-\frac{3 i x^2 \text{PolyLog}\left(2,-i e^{a+b x}\right)}{2 b^2}+\frac{3 i x^2 \text{PolyLog}\left(2,i e^{a+b x}\right)}{2 b^2}+\frac{3 i x \text{PolyLog}\left(3,-i e^{a+b x}\right)}{b^3}-\frac{3 i x \text{PolyLog}\left(3,i e^{a+b x}\right)}{b^3}-\frac{3 i \text{PolyLog}\left(2,-i e^{a+b x}\right)}{b^4}+\frac{3 i \text{PolyLog}\left(2,i e^{a+b x}\right)}{b^4}-\frac{3 i \text{PolyLog}\left(4,-i e^{a+b x}\right)}{b^4}+\frac{3 i \text{PolyLog}\left(4,i e^{a+b x}\right)}{b^4}-\frac{3 x^2 \text{sech}(a+b x)}{2 b^2}+\frac{6 x \tan ^{-1}\left(e^{a+b x}\right)}{b^3}+\frac{x^3 \tan ^{-1}\left(e^{a+b x}\right)}{b}-\frac{x^3 \tanh (a+b x) \text{sech}(a+b x)}{2 b}","-\frac{3 i x^2 \text{PolyLog}\left(2,-i e^{a+b x}\right)}{2 b^2}+\frac{3 i x^2 \text{PolyLog}\left(2,i e^{a+b x}\right)}{2 b^2}+\frac{3 i x \text{PolyLog}\left(3,-i e^{a+b x}\right)}{b^3}-\frac{3 i x \text{PolyLog}\left(3,i e^{a+b x}\right)}{b^3}-\frac{3 i \text{PolyLog}\left(2,-i e^{a+b x}\right)}{b^4}+\frac{3 i \text{PolyLog}\left(2,i e^{a+b x}\right)}{b^4}-\frac{3 i \text{PolyLog}\left(4,-i e^{a+b x}\right)}{b^4}+\frac{3 i \text{PolyLog}\left(4,i e^{a+b x}\right)}{b^4}-\frac{3 x^2 \text{sech}(a+b x)}{2 b^2}+\frac{6 x \tan ^{-1}\left(e^{a+b x}\right)}{b^3}+\frac{x^3 \tan ^{-1}\left(e^{a+b x}\right)}{b}-\frac{x^3 \tanh (a+b x) \text{sech}(a+b x)}{2 b}",1,"(6*x*ArcTan[E^(a + b*x)])/b^3 + (x^3*ArcTan[E^(a + b*x)])/b - ((3*I)*PolyLog[2, (-I)*E^(a + b*x)])/b^4 - (((3*I)/2)*x^2*PolyLog[2, (-I)*E^(a + b*x)])/b^2 + ((3*I)*PolyLog[2, I*E^(a + b*x)])/b^4 + (((3*I)/2)*x^2*PolyLog[2, I*E^(a + b*x)])/b^2 + ((3*I)*x*PolyLog[3, (-I)*E^(a + b*x)])/b^3 - ((3*I)*x*PolyLog[3, I*E^(a + b*x)])/b^3 - ((3*I)*PolyLog[4, (-I)*E^(a + b*x)])/b^4 + ((3*I)*PolyLog[4, I*E^(a + b*x)])/b^4 - (3*x^2*Sech[a + b*x])/(2*b^2) - (x^3*Sech[a + b*x]*Tanh[a + b*x])/(2*b)","A",25,9,18,0.5000,1,"{5455, 4180, 2531, 6609, 2282, 6589, 4186, 2279, 2391}"
371,1,143,0,0.1985976,"\int x^2 \text{sech}(a+b x) \tanh ^2(a+b x) \, dx","Int[x^2*Sech[a + b*x]*Tanh[a + b*x]^2,x]","-\frac{i x \text{PolyLog}\left(2,-i e^{a+b x}\right)}{b^2}+\frac{i x \text{PolyLog}\left(2,i e^{a+b x}\right)}{b^2}+\frac{i \text{PolyLog}\left(3,-i e^{a+b x}\right)}{b^3}-\frac{i \text{PolyLog}\left(3,i e^{a+b x}\right)}{b^3}-\frac{x \text{sech}(a+b x)}{b^2}+\frac{\tan ^{-1}(\sinh (a+b x))}{b^3}+\frac{x^2 \tan ^{-1}\left(e^{a+b x}\right)}{b}-\frac{x^2 \tanh (a+b x) \text{sech}(a+b x)}{2 b}","-\frac{i x \text{PolyLog}\left(2,-i e^{a+b x}\right)}{b^2}+\frac{i x \text{PolyLog}\left(2,i e^{a+b x}\right)}{b^2}+\frac{i \text{PolyLog}\left(3,-i e^{a+b x}\right)}{b^3}-\frac{i \text{PolyLog}\left(3,i e^{a+b x}\right)}{b^3}-\frac{x \text{sech}(a+b x)}{b^2}+\frac{\tan ^{-1}(\sinh (a+b x))}{b^3}+\frac{x^2 \tan ^{-1}\left(e^{a+b x}\right)}{b}-\frac{x^2 \tanh (a+b x) \text{sech}(a+b x)}{2 b}",1,"(x^2*ArcTan[E^(a + b*x)])/b + ArcTan[Sinh[a + b*x]]/b^3 - (I*x*PolyLog[2, (-I)*E^(a + b*x)])/b^2 + (I*x*PolyLog[2, I*E^(a + b*x)])/b^2 + (I*PolyLog[3, (-I)*E^(a + b*x)])/b^3 - (I*PolyLog[3, I*E^(a + b*x)])/b^3 - (x*Sech[a + b*x])/b^2 - (x^2*Sech[a + b*x]*Tanh[a + b*x])/(2*b)","A",17,7,18,0.3889,1,"{5455, 4180, 2531, 2282, 6589, 4186, 3770}"
372,1,91,0,0.1015261,"\int x \text{sech}(a+b x) \tanh ^2(a+b x) \, dx","Int[x*Sech[a + b*x]*Tanh[a + b*x]^2,x]","-\frac{i \text{PolyLog}\left(2,-i e^{a+b x}\right)}{2 b^2}+\frac{i \text{PolyLog}\left(2,i e^{a+b x}\right)}{2 b^2}-\frac{\text{sech}(a+b x)}{2 b^2}+\frac{x \tan ^{-1}\left(e^{a+b x}\right)}{b}-\frac{x \tanh (a+b x) \text{sech}(a+b x)}{2 b}","-\frac{i \text{PolyLog}\left(2,-i e^{a+b x}\right)}{2 b^2}+\frac{i \text{PolyLog}\left(2,i e^{a+b x}\right)}{2 b^2}-\frac{\text{sech}(a+b x)}{2 b^2}+\frac{x \tan ^{-1}\left(e^{a+b x}\right)}{b}-\frac{x \tanh (a+b x) \text{sech}(a+b x)}{2 b}",1,"(x*ArcTan[E^(a + b*x)])/b - ((I/2)*PolyLog[2, (-I)*E^(a + b*x)])/b^2 + ((I/2)*PolyLog[2, I*E^(a + b*x)])/b^2 - Sech[a + b*x]/(2*b^2) - (x*Sech[a + b*x]*Tanh[a + b*x])/(2*b)","A",12,5,16,0.3125,1,"{5455, 4180, 2279, 2391, 4185}"
373,1,34,0,0.0237051,"\int \text{sech}(a+b x) \tanh ^2(a+b x) \, dx","Int[Sech[a + b*x]*Tanh[a + b*x]^2,x]","\frac{\tan ^{-1}(\sinh (a+b x))}{2 b}-\frac{\tanh (a+b x) \text{sech}(a+b x)}{2 b}","\frac{\tan ^{-1}(\sinh (a+b x))}{2 b}-\frac{\tanh (a+b x) \text{sech}(a+b x)}{2 b}",1,"ArcTan[Sinh[a + b*x]]/(2*b) - (Sech[a + b*x]*Tanh[a + b*x])/(2*b)","A",2,2,15,0.1333,1,"{2611, 3770}"
374,0,0,0,0.0642935,"\int \frac{\text{sech}(a+b x) \tanh ^2(a+b x)}{x} \, dx","Int[(Sech[a + b*x]*Tanh[a + b*x]^2)/x,x]","\int \frac{\text{sech}(a+b x) \tanh ^2(a+b x)}{x} \, dx","\text{Int}\left(\frac{\text{sech}(a+b x)}{x},x\right)-\text{Int}\left(\frac{\text{sech}^3(a+b x)}{x},x\right)",0,"Defer[Int][Sech[a + b*x]/x, x] - Defer[Int][Sech[a + b*x]^3/x, x]","A",0,0,0,0,-1,"{}"
375,0,0,0,0.0685913,"\int \frac{\text{sech}(a+b x) \tanh ^2(a+b x)}{x^2} \, dx","Int[(Sech[a + b*x]*Tanh[a + b*x]^2)/x^2,x]","\int \frac{\text{sech}(a+b x) \tanh ^2(a+b x)}{x^2} \, dx","\text{Int}\left(\frac{\text{sech}(a+b x)}{x^2},x\right)-\text{Int}\left(\frac{\text{sech}^3(a+b x)}{x^2},x\right)",0,"Defer[Int][Sech[a + b*x]/x^2, x] - Defer[Int][Sech[a + b*x]^3/x^2, x]","A",0,0,0,0,-1,"{}"
376,0,0,0,0.1389402,"\int x^m \sinh ^2(a+b x) \tanh (a+b x) \, dx","Int[x^m*Sinh[a + b*x]^2*Tanh[a + b*x],x]","\int x^m \sinh ^2(a+b x) \tanh (a+b x) \, dx","-\text{Int}\left(x^m \tanh (a+b x),x\right)+\frac{e^{2 a} 2^{-m-3} x^m (-b x)^{-m} \text{Gamma}(m+1,-2 b x)}{b}+\frac{e^{-2 a} 2^{-m-3} x^m (b x)^{-m} \text{Gamma}(m+1,2 b x)}{b}",0,"(2^(-3 - m)*E^(2*a)*x^m*Gamma[1 + m, -2*b*x])/(b*(-(b*x))^m) + (2^(-3 - m)*x^m*Gamma[1 + m, 2*b*x])/(b*E^(2*a)*(b*x)^m) - Defer[Int][x^m*Tanh[a + b*x], x]","A",0,0,0,0,-1,"{}"
377,1,185,0,0.246804,"\int x^3 \sinh ^2(a+b x) \tanh (a+b x) \, dx","Int[x^3*Sinh[a + b*x]^2*Tanh[a + b*x],x]","-\frac{3 x^2 \text{PolyLog}\left(2,-e^{2 (a+b x)}\right)}{2 b^2}+\frac{3 x \text{PolyLog}\left(3,-e^{2 (a+b x)}\right)}{2 b^3}-\frac{3 \text{PolyLog}\left(4,-e^{2 (a+b x)}\right)}{4 b^4}-\frac{3 x^2 \sinh (a+b x) \cosh (a+b x)}{4 b^2}+\frac{3 x \sinh ^2(a+b x)}{4 b^3}-\frac{3 \sinh (a+b x) \cosh (a+b x)}{8 b^4}-\frac{x^3 \log \left(e^{2 (a+b x)}+1\right)}{b}+\frac{x^3 \sinh ^2(a+b x)}{2 b}+\frac{3 x}{8 b^3}+\frac{x^3}{4 b}+\frac{x^4}{4}","-\frac{3 x^2 \text{PolyLog}\left(2,-e^{2 (a+b x)}\right)}{2 b^2}+\frac{3 x \text{PolyLog}\left(3,-e^{2 (a+b x)}\right)}{2 b^3}-\frac{3 \text{PolyLog}\left(4,-e^{2 (a+b x)}\right)}{4 b^4}-\frac{3 x^2 \sinh (a+b x) \cosh (a+b x)}{4 b^2}+\frac{3 x \sinh ^2(a+b x)}{4 b^3}-\frac{3 \sinh (a+b x) \cosh (a+b x)}{8 b^4}-\frac{x^3 \log \left(e^{2 (a+b x)}+1\right)}{b}+\frac{x^3 \sinh ^2(a+b x)}{2 b}+\frac{3 x}{8 b^3}+\frac{x^3}{4 b}+\frac{x^4}{4}",1,"(3*x)/(8*b^3) + x^3/(4*b) + x^4/4 - (x^3*Log[1 + E^(2*(a + b*x))])/b - (3*x^2*PolyLog[2, -E^(2*(a + b*x))])/(2*b^2) + (3*x*PolyLog[3, -E^(2*(a + b*x))])/(2*b^3) - (3*PolyLog[4, -E^(2*(a + b*x))])/(4*b^4) - (3*Cosh[a + b*x]*Sinh[a + b*x])/(8*b^4) - (3*x^2*Cosh[a + b*x]*Sinh[a + b*x])/(4*b^2) + (3*x*Sinh[a + b*x]^2)/(4*b^3) + (x^3*Sinh[a + b*x]^2)/(2*b)","A",12,12,18,0.6667,1,"{5449, 5372, 3311, 30, 2635, 8, 3718, 2190, 2531, 6609, 2282, 6589}"
378,1,130,0,0.1899898,"\int x^2 \sinh ^2(a+b x) \tanh (a+b x) \, dx","Int[x^2*Sinh[a + b*x]^2*Tanh[a + b*x],x]","-\frac{x \text{PolyLog}\left(2,-e^{2 (a+b x)}\right)}{b^2}+\frac{\text{PolyLog}\left(3,-e^{2 (a+b x)}\right)}{2 b^3}+\frac{\sinh ^2(a+b x)}{4 b^3}-\frac{x \sinh (a+b x) \cosh (a+b x)}{2 b^2}-\frac{x^2 \log \left(e^{2 (a+b x)}+1\right)}{b}+\frac{x^2 \sinh ^2(a+b x)}{2 b}+\frac{x^2}{4 b}+\frac{x^3}{3}","-\frac{x \text{PolyLog}\left(2,-e^{2 (a+b x)}\right)}{b^2}+\frac{\text{PolyLog}\left(3,-e^{2 (a+b x)}\right)}{2 b^3}+\frac{\sinh ^2(a+b x)}{4 b^3}-\frac{x \sinh (a+b x) \cosh (a+b x)}{2 b^2}-\frac{x^2 \log \left(e^{2 (a+b x)}+1\right)}{b}+\frac{x^2 \sinh ^2(a+b x)}{2 b}+\frac{x^2}{4 b}+\frac{x^3}{3}",1,"x^2/(4*b) + x^3/3 - (x^2*Log[1 + E^(2*(a + b*x))])/b - (x*PolyLog[2, -E^(2*(a + b*x))])/b^2 + PolyLog[3, -E^(2*(a + b*x))]/(2*b^3) - (x*Cosh[a + b*x]*Sinh[a + b*x])/(2*b^2) + Sinh[a + b*x]^2/(4*b^3) + (x^2*Sinh[a + b*x]^2)/(2*b)","A",9,9,18,0.5000,1,"{5449, 5372, 3310, 30, 3718, 2190, 2531, 2282, 6589}"
379,1,89,0,0.1162418,"\int x \sinh ^2(a+b x) \tanh (a+b x) \, dx","Int[x*Sinh[a + b*x]^2*Tanh[a + b*x],x]","-\frac{\text{PolyLog}\left(2,-e^{2 (a+b x)}\right)}{2 b^2}-\frac{\sinh (a+b x) \cosh (a+b x)}{4 b^2}-\frac{x \log \left(e^{2 (a+b x)}+1\right)}{b}+\frac{x \sinh ^2(a+b x)}{2 b}+\frac{x}{4 b}+\frac{x^2}{2}","-\frac{\text{PolyLog}\left(2,-e^{2 (a+b x)}\right)}{2 b^2}-\frac{\sinh (a+b x) \cosh (a+b x)}{4 b^2}-\frac{x \log \left(e^{2 (a+b x)}+1\right)}{b}+\frac{x \sinh ^2(a+b x)}{2 b}+\frac{x}{4 b}+\frac{x^2}{2}",1,"x/(4*b) + x^2/2 - (x*Log[1 + E^(2*(a + b*x))])/b - PolyLog[2, -E^(2*(a + b*x))]/(2*b^2) - (Cosh[a + b*x]*Sinh[a + b*x])/(4*b^2) + (x*Sinh[a + b*x]^2)/(2*b)","A",8,8,16,0.5000,1,"{5449, 5372, 2635, 8, 3718, 2190, 2279, 2391}"
380,1,28,0,0.024513,"\int \sinh ^2(a+b x) \tanh (a+b x) \, dx","Int[Sinh[a + b*x]^2*Tanh[a + b*x],x]","\frac{\cosh ^2(a+b x)}{2 b}-\frac{\log (\cosh (a+b x))}{b}","\frac{\cosh ^2(a+b x)}{2 b}-\frac{\log (\cosh (a+b x))}{b}",1,"Cosh[a + b*x]^2/(2*b) - Log[Cosh[a + b*x]]/b","A",3,2,15,0.1333,1,"{2590, 14}"
381,0,0,0,0.1034094,"\int \frac{\sinh ^2(a+b x) \tanh (a+b x)}{x} \, dx","Int[(Sinh[a + b*x]^2*Tanh[a + b*x])/x,x]","\int \frac{\sinh ^2(a+b x) \tanh (a+b x)}{x} \, dx","-\text{Int}\left(\frac{\tanh (a+b x)}{x},x\right)+\frac{1}{2} \sinh (2 a) \text{Chi}(2 b x)+\frac{1}{2} \cosh (2 a) \text{Shi}(2 b x)",0,"(CoshIntegral[2*b*x]*Sinh[2*a])/2 + (Cosh[2*a]*SinhIntegral[2*b*x])/2 - Defer[Int][Tanh[a + b*x]/x, x]","A",0,0,0,0,-1,"{}"
382,0,0,0,0.1314588,"\int \frac{\sinh ^2(a+b x) \tanh (a+b x)}{x^2} \, dx","Int[(Sinh[a + b*x]^2*Tanh[a + b*x])/x^2,x]","\int \frac{\sinh ^2(a+b x) \tanh (a+b x)}{x^2} \, dx","-\text{Int}\left(\frac{\tanh (a+b x)}{x^2},x\right)+b \cosh (2 a) \text{Chi}(2 b x)+b \sinh (2 a) \text{Shi}(2 b x)-\frac{\sinh (2 a+2 b x)}{2 x}",0,"b*Cosh[2*a]*CoshIntegral[2*b*x] - Sinh[2*a + 2*b*x]/(2*x) + b*Sinh[2*a]*SinhIntegral[2*b*x] - Defer[Int][Tanh[a + b*x]/x^2, x]","A",0,0,0,0,-1,"{}"
383,0,0,0,0.1672362,"\int x^m \sinh (a+b x) \tanh ^2(a+b x) \, dx","Int[x^m*Sinh[a + b*x]*Tanh[a + b*x]^2,x]","\int x^m \sinh (a+b x) \tanh ^2(a+b x) \, dx","-\text{Int}\left(x^m \tanh (a+b x) \text{sech}(a+b x),x\right)+\frac{e^a x^m (-b x)^{-m} \text{Gamma}(m+1,-b x)}{2 b}+\frac{e^{-a} x^m (b x)^{-m} \text{Gamma}(m+1,b x)}{2 b}",0,"(E^a*x^m*Gamma[1 + m, -(b*x)])/(2*b*(-(b*x))^m) + (x^m*Gamma[1 + m, b*x])/(2*b*E^a*(b*x)^m) - Defer[Int][x^m*Sech[a + b*x]*Tanh[a + b*x], x]","A",0,0,0,0,-1,"{}"
384,1,162,0,0.1829103,"\int x^3 \sinh (a+b x) \tanh ^2(a+b x) \, dx","Int[x^3*Sinh[a + b*x]*Tanh[a + b*x]^2,x]","\frac{6 i x \text{PolyLog}\left(2,-i e^{a+b x}\right)}{b^3}-\frac{6 i x \text{PolyLog}\left(2,i e^{a+b x}\right)}{b^3}-\frac{6 i \text{PolyLog}\left(3,-i e^{a+b x}\right)}{b^4}+\frac{6 i \text{PolyLog}\left(3,i e^{a+b x}\right)}{b^4}-\frac{6 x^2 \tan ^{-1}\left(e^{a+b x}\right)}{b^2}-\frac{3 x^2 \sinh (a+b x)}{b^2}-\frac{6 \sinh (a+b x)}{b^4}+\frac{6 x \cosh (a+b x)}{b^3}+\frac{x^3 \cosh (a+b x)}{b}+\frac{x^3 \text{sech}(a+b x)}{b}","\frac{6 i x \text{PolyLog}\left(2,-i e^{a+b x}\right)}{b^3}-\frac{6 i x \text{PolyLog}\left(2,i e^{a+b x}\right)}{b^3}-\frac{6 i \text{PolyLog}\left(3,-i e^{a+b x}\right)}{b^4}+\frac{6 i \text{PolyLog}\left(3,i e^{a+b x}\right)}{b^4}-\frac{6 x^2 \tan ^{-1}\left(e^{a+b x}\right)}{b^2}-\frac{3 x^2 \sinh (a+b x)}{b^2}-\frac{6 \sinh (a+b x)}{b^4}+\frac{6 x \cosh (a+b x)}{b^3}+\frac{x^3 \cosh (a+b x)}{b}+\frac{x^3 \text{sech}(a+b x)}{b}",1,"(-6*x^2*ArcTan[E^(a + b*x)])/b^2 + (6*x*Cosh[a + b*x])/b^3 + (x^3*Cosh[a + b*x])/b + ((6*I)*x*PolyLog[2, (-I)*E^(a + b*x)])/b^3 - ((6*I)*x*PolyLog[2, I*E^(a + b*x)])/b^3 - ((6*I)*PolyLog[3, (-I)*E^(a + b*x)])/b^4 + ((6*I)*PolyLog[3, I*E^(a + b*x)])/b^4 + (x^3*Sech[a + b*x])/b - (6*Sinh[a + b*x])/b^4 - (3*x^2*Sinh[a + b*x])/b^2","A",13,8,18,0.4444,1,"{5449, 3296, 2637, 5418, 4180, 2531, 2282, 6589}"
385,1,104,0,0.117554,"\int x^2 \sinh (a+b x) \tanh ^2(a+b x) \, dx","Int[x^2*Sinh[a + b*x]*Tanh[a + b*x]^2,x]","\frac{2 i \text{PolyLog}\left(2,-i e^{a+b x}\right)}{b^3}-\frac{2 i \text{PolyLog}\left(2,i e^{a+b x}\right)}{b^3}-\frac{4 x \tan ^{-1}\left(e^{a+b x}\right)}{b^2}-\frac{2 x \sinh (a+b x)}{b^2}+\frac{2 \cosh (a+b x)}{b^3}+\frac{x^2 \cosh (a+b x)}{b}+\frac{x^2 \text{sech}(a+b x)}{b}","\frac{2 i \text{PolyLog}\left(2,-i e^{a+b x}\right)}{b^3}-\frac{2 i \text{PolyLog}\left(2,i e^{a+b x}\right)}{b^3}-\frac{4 x \tan ^{-1}\left(e^{a+b x}\right)}{b^2}-\frac{2 x \sinh (a+b x)}{b^2}+\frac{2 \cosh (a+b x)}{b^3}+\frac{x^2 \cosh (a+b x)}{b}+\frac{x^2 \text{sech}(a+b x)}{b}",1,"(-4*x*ArcTan[E^(a + b*x)])/b^2 + (2*Cosh[a + b*x])/b^3 + (x^2*Cosh[a + b*x])/b + ((2*I)*PolyLog[2, (-I)*E^(a + b*x)])/b^3 - ((2*I)*PolyLog[2, I*E^(a + b*x)])/b^3 + (x^2*Sech[a + b*x])/b - (2*x*Sinh[a + b*x])/b^2","A",10,7,18,0.3889,1,"{5449, 3296, 2638, 5418, 4180, 2279, 2391}"
386,1,46,0,0.0508757,"\int x \sinh (a+b x) \tanh ^2(a+b x) \, dx","Int[x*Sinh[a + b*x]*Tanh[a + b*x]^2,x]","-\frac{\sinh (a+b x)}{b^2}-\frac{\tan ^{-1}(\sinh (a+b x))}{b^2}+\frac{x \cosh (a+b x)}{b}+\frac{x \text{sech}(a+b x)}{b}","-\frac{\sinh (a+b x)}{b^2}-\frac{\tan ^{-1}(\sinh (a+b x))}{b^2}+\frac{x \cosh (a+b x)}{b}+\frac{x \text{sech}(a+b x)}{b}",1,"-(ArcTan[Sinh[a + b*x]]/b^2) + (x*Cosh[a + b*x])/b + (x*Sech[a + b*x])/b - Sinh[a + b*x]/b^2","A",5,5,16,0.3125,1,"{5449, 3296, 2637, 5418, 3770}"
387,1,21,0,0.0242972,"\int \sinh (a+b x) \tanh ^2(a+b x) \, dx","Int[Sinh[a + b*x]*Tanh[a + b*x]^2,x]","\frac{\cosh (a+b x)}{b}+\frac{\text{sech}(a+b x)}{b}","\frac{\cosh (a+b x)}{b}+\frac{\text{sech}(a+b x)}{b}",1,"Cosh[a + b*x]/b + Sech[a + b*x]/b","A",3,2,15,0.1333,1,"{2590, 14}"
388,0,0,0,0.1283407,"\int \frac{\sinh (a+b x) \tanh ^2(a+b x)}{x} \, dx","Int[(Sinh[a + b*x]*Tanh[a + b*x]^2)/x,x]","\int \frac{\sinh (a+b x) \tanh ^2(a+b x)}{x} \, dx","-\text{Int}\left(\frac{\tanh (a+b x) \text{sech}(a+b x)}{x},x\right)+\sinh (a) \text{Chi}(b x)+\cosh (a) \text{Shi}(b x)",0,"CoshIntegral[b*x]*Sinh[a] + Cosh[a]*SinhIntegral[b*x] - Defer[Int][(Sech[a + b*x]*Tanh[a + b*x])/x, x]","A",0,0,0,0,-1,"{}"
389,0,0,0,0.1259639,"\int \frac{\sinh (a+b x) \tanh ^2(a+b x)}{x^2} \, dx","Int[(Sinh[a + b*x]*Tanh[a + b*x]^2)/x^2,x]","\int \frac{\sinh (a+b x) \tanh ^2(a+b x)}{x^2} \, dx","-\text{Int}\left(\frac{\tanh (a+b x) \text{sech}(a+b x)}{x^2},x\right)+b \cosh (a) \text{Chi}(b x)+b \sinh (a) \text{Shi}(b x)-\frac{\sinh (a+b x)}{x}",0,"b*Cosh[a]*CoshIntegral[b*x] - Sinh[a + b*x]/x + b*Sinh[a]*SinhIntegral[b*x] - Defer[Int][(Sech[a + b*x]*Tanh[a + b*x])/x^2, x]","A",0,0,0,0,-1,"{}"
390,0,0,0,0.0303883,"\int x^m \tanh ^3(a+b x) \, dx","Int[x^m*Tanh[a + b*x]^3,x]","\int x^m \tanh ^3(a+b x) \, dx","\text{Int}\left(x^m \tanh ^3(a+b x),x\right)",0,"Defer[Int][x^m*Tanh[a + b*x]^3, x]","A",0,0,0,0,-1,"{}"
391,1,183,0,0.3257743,"\int x^3 \tanh ^3(a+b x) \, dx","Int[x^3*Tanh[a + b*x]^3,x]","\frac{3 x^2 \text{PolyLog}\left(2,-e^{2 (a+b x)}\right)}{2 b^2}-\frac{3 x \text{PolyLog}\left(3,-e^{2 (a+b x)}\right)}{2 b^3}+\frac{3 \text{PolyLog}\left(2,-e^{2 (a+b x)}\right)}{2 b^4}+\frac{3 \text{PolyLog}\left(4,-e^{2 (a+b x)}\right)}{4 b^4}-\frac{3 x^2 \tanh (a+b x)}{2 b^2}+\frac{3 x \log \left(e^{2 (a+b x)}+1\right)}{b^3}+\frac{x^3 \log \left(e^{2 (a+b x)}+1\right)}{b}-\frac{x^3 \tanh ^2(a+b x)}{2 b}-\frac{3 x^2}{2 b^2}+\frac{x^3}{2 b}-\frac{x^4}{4}","\frac{3 x^2 \text{PolyLog}\left(2,-e^{2 (a+b x)}\right)}{2 b^2}-\frac{3 x \text{PolyLog}\left(3,-e^{2 (a+b x)}\right)}{2 b^3}+\frac{3 \text{PolyLog}\left(2,-e^{2 (a+b x)}\right)}{2 b^4}+\frac{3 \text{PolyLog}\left(4,-e^{2 (a+b x)}\right)}{4 b^4}-\frac{3 x^2 \tanh (a+b x)}{2 b^2}+\frac{3 x \log \left(e^{2 (a+b x)}+1\right)}{b^3}+\frac{x^3 \log \left(e^{2 (a+b x)}+1\right)}{b}-\frac{x^3 \tanh ^2(a+b x)}{2 b}-\frac{3 x^2}{2 b^2}+\frac{x^3}{2 b}-\frac{x^4}{4}",1,"(-3*x^2)/(2*b^2) + x^3/(2*b) - x^4/4 + (3*x*Log[1 + E^(2*(a + b*x))])/b^3 + (x^3*Log[1 + E^(2*(a + b*x))])/b + (3*PolyLog[2, -E^(2*(a + b*x))])/(2*b^4) + (3*x^2*PolyLog[2, -E^(2*(a + b*x))])/(2*b^2) - (3*x*PolyLog[3, -E^(2*(a + b*x))])/(2*b^3) + (3*PolyLog[4, -E^(2*(a + b*x))])/(4*b^4) - (3*x^2*Tanh[a + b*x])/(2*b^2) - (x^3*Tanh[a + b*x]^2)/(2*b)","A",13,10,12,0.8333,1,"{3720, 3718, 2190, 2279, 2391, 30, 2531, 6609, 2282, 6589}"
392,1,116,0,0.2015775,"\int x^2 \tanh ^3(a+b x) \, dx","Int[x^2*Tanh[a + b*x]^3,x]","\frac{x \text{PolyLog}\left(2,-e^{2 (a+b x)}\right)}{b^2}-\frac{\text{PolyLog}\left(3,-e^{2 (a+b x)}\right)}{2 b^3}-\frac{x \tanh (a+b x)}{b^2}+\frac{\log (\cosh (a+b x))}{b^3}+\frac{x^2 \log \left(e^{2 (a+b x)}+1\right)}{b}-\frac{x^2 \tanh ^2(a+b x)}{2 b}+\frac{x^2}{2 b}-\frac{x^3}{3}","\frac{x \text{PolyLog}\left(2,-e^{2 (a+b x)}\right)}{b^2}-\frac{\text{PolyLog}\left(3,-e^{2 (a+b x)}\right)}{2 b^3}-\frac{x \tanh (a+b x)}{b^2}+\frac{\log (\cosh (a+b x))}{b^3}+\frac{x^2 \log \left(e^{2 (a+b x)}+1\right)}{b}-\frac{x^2 \tanh ^2(a+b x)}{2 b}+\frac{x^2}{2 b}-\frac{x^3}{3}",1,"x^2/(2*b) - x^3/3 + (x^2*Log[1 + E^(2*(a + b*x))])/b + Log[Cosh[a + b*x]]/b^3 + (x*PolyLog[2, -E^(2*(a + b*x))])/b^2 - PolyLog[3, -E^(2*(a + b*x))]/(2*b^3) - (x*Tanh[a + b*x])/b^2 - (x^2*Tanh[a + b*x]^2)/(2*b)","A",9,8,12,0.6667,1,"{3720, 3475, 30, 3718, 2190, 2531, 2282, 6589}"
393,1,82,0,0.1173719,"\int x \tanh ^3(a+b x) \, dx","Int[x*Tanh[a + b*x]^3,x]","\frac{\text{PolyLog}\left(2,-e^{2 (a+b x)}\right)}{2 b^2}-\frac{\tanh (a+b x)}{2 b^2}+\frac{x \log \left(e^{2 (a+b x)}+1\right)}{b}-\frac{x \tanh ^2(a+b x)}{2 b}+\frac{x}{2 b}-\frac{x^2}{2}","\frac{\text{PolyLog}\left(2,-e^{2 (a+b x)}\right)}{2 b^2}-\frac{\tanh (a+b x)}{2 b^2}+\frac{x \log \left(e^{2 (a+b x)}+1\right)}{b}-\frac{x \tanh ^2(a+b x)}{2 b}+\frac{x}{2 b}-\frac{x^2}{2}",1,"x/(2*b) - x^2/2 + (x*Log[1 + E^(2*(a + b*x))])/b + PolyLog[2, -E^(2*(a + b*x))]/(2*b^2) - Tanh[a + b*x]/(2*b^2) - (x*Tanh[a + b*x]^2)/(2*b)","A",7,7,10,0.7000,1,"{3720, 3473, 8, 3718, 2190, 2279, 2391}"
394,1,27,0,0.0180643,"\int \tanh ^3(a+b x) \, dx","Int[Tanh[a + b*x]^3,x]","\frac{\log (\cosh (a+b x))}{b}-\frac{\tanh ^2(a+b x)}{2 b}","\frac{\log (\cosh (a+b x))}{b}-\frac{\tanh ^2(a+b x)}{2 b}",1,"Log[Cosh[a + b*x]]/b - Tanh[a + b*x]^2/(2*b)","A",2,2,8,0.2500,1,"{3473, 3475}"
395,0,0,0,0.0279834,"\int \frac{\tanh ^3(a+b x)}{x} \, dx","Int[Tanh[a + b*x]^3/x,x]","\int \frac{\tanh ^3(a+b x)}{x} \, dx","\text{Int}\left(\frac{\tanh ^3(a+b x)}{x},x\right)",0,"Defer[Int][Tanh[a + b*x]^3/x, x]","A",0,0,0,0,-1,"{}"
396,0,0,0,0.0284037,"\int \frac{\tanh ^3(a+b x)}{x^2} \, dx","Int[Tanh[a + b*x]^3/x^2,x]","\int \frac{\tanh ^3(a+b x)}{x^2} \, dx","\text{Int}\left(\frac{\tanh ^3(a+b x)}{x^2},x\right)",0,"Defer[Int][Tanh[a + b*x]^3/x^2, x]","A",0,0,0,0,-1,"{}"
397,0,0,0,0.0157878,"\int x^m \coth (a+b x) \, dx","Int[x^m*Coth[a + b*x],x]","\int x^m \coth (a+b x) \, dx","\text{Int}\left(x^m \coth (a+b x),x\right)",0,"Defer[Int][x^m*Coth[a + b*x], x]","A",0,0,0,0,-1,"{}"
398,1,87,0,0.1525517,"\int x^3 \coth (a+b x) \, dx","Int[x^3*Coth[a + b*x],x]","\frac{3 x^2 \text{PolyLog}\left(2,e^{2 (a+b x)}\right)}{2 b^2}-\frac{3 x \text{PolyLog}\left(3,e^{2 (a+b x)}\right)}{2 b^3}+\frac{3 \text{PolyLog}\left(4,e^{2 (a+b x)}\right)}{4 b^4}+\frac{x^3 \log \left(1-e^{2 (a+b x)}\right)}{b}-\frac{x^4}{4}","\frac{3 x^2 \text{PolyLog}\left(2,e^{2 (a+b x)}\right)}{2 b^2}-\frac{3 x \text{PolyLog}\left(3,e^{2 (a+b x)}\right)}{2 b^3}+\frac{3 \text{PolyLog}\left(4,e^{2 (a+b x)}\right)}{4 b^4}+\frac{x^3 \log \left(1-e^{2 (a+b x)}\right)}{b}-\frac{x^4}{4}",1,"-x^4/4 + (x^3*Log[1 - E^(2*(a + b*x))])/b + (3*x^2*PolyLog[2, E^(2*(a + b*x))])/(2*b^2) - (3*x*PolyLog[3, E^(2*(a + b*x))])/(2*b^3) + (3*PolyLog[4, E^(2*(a + b*x))])/(4*b^4)","A",6,6,10,0.6000,1,"{3716, 2190, 2531, 6609, 2282, 6589}"
399,1,63,0,0.1326674,"\int x^2 \coth (a+b x) \, dx","Int[x^2*Coth[a + b*x],x]","\frac{x \text{PolyLog}\left(2,e^{2 (a+b x)}\right)}{b^2}-\frac{\text{PolyLog}\left(3,e^{2 (a+b x)}\right)}{2 b^3}+\frac{x^2 \log \left(1-e^{2 (a+b x)}\right)}{b}-\frac{x^3}{3}","\frac{x \text{PolyLog}\left(2,e^{2 (a+b x)}\right)}{b^2}-\frac{\text{PolyLog}\left(3,e^{2 (a+b x)}\right)}{2 b^3}+\frac{x^2 \log \left(1-e^{2 (a+b x)}\right)}{b}-\frac{x^3}{3}",1,"-x^3/3 + (x^2*Log[1 - E^(2*(a + b*x))])/b + (x*PolyLog[2, E^(2*(a + b*x))])/b^2 - PolyLog[3, E^(2*(a + b*x))]/(2*b^3)","A",5,5,10,0.5000,1,"{3716, 2190, 2531, 2282, 6589}"
400,1,45,0,0.0806948,"\int x \coth (a+b x) \, dx","Int[x*Coth[a + b*x],x]","\frac{\text{PolyLog}\left(2,e^{2 (a+b x)}\right)}{2 b^2}+\frac{x \log \left(1-e^{2 (a+b x)}\right)}{b}-\frac{x^2}{2}","\frac{\text{PolyLog}\left(2,e^{2 (a+b x)}\right)}{2 b^2}+\frac{x \log \left(1-e^{2 (a+b x)}\right)}{b}-\frac{x^2}{2}",1,"-x^2/2 + (x*Log[1 - E^(2*(a + b*x))])/b + PolyLog[2, E^(2*(a + b*x))]/(2*b^2)","A",4,4,8,0.5000,1,"{3716, 2190, 2279, 2391}"
401,1,11,0,0.0058973,"\int \coth (a+b x) \, dx","Int[Coth[a + b*x],x]","\frac{\log (\sinh (a+b x))}{b}","\frac{\log (\sinh (a+b x))}{b}",1,"Log[Sinh[a + b*x]]/b","A",1,1,6,0.1667,1,"{3475}"
402,0,0,0,0.0159891,"\int \frac{\coth (a+b x)}{x} \, dx","Int[Coth[a + b*x]/x,x]","\int \frac{\coth (a+b x)}{x} \, dx","\text{Int}\left(\frac{\coth (a+b x)}{x},x\right)",0,"Defer[Int][Coth[a + b*x]/x, x]","A",0,0,0,0,-1,"{}"
403,0,0,0,0.0170219,"\int \frac{\coth (a+b x)}{x^2} \, dx","Int[Coth[a + b*x]/x^2,x]","\int \frac{\coth (a+b x)}{x^2} \, dx","\text{Int}\left(\frac{\coth (a+b x)}{x^2},x\right)",0,"Defer[Int][Coth[a + b*x]/x^2, x]","A",0,0,0,0,-1,"{}"
404,0,0,0,0.0907661,"\int x^m \cosh (a+b x) \coth (a+b x) \, dx","Int[x^m*Cosh[a + b*x]*Coth[a + b*x],x]","\int x^m \cosh (a+b x) \coth (a+b x) \, dx","\text{Int}\left(x^m \text{csch}(a+b x),x\right)+\frac{e^a x^m (-b x)^{-m} \text{Gamma}(m+1,-b x)}{2 b}+\frac{e^{-a} x^m (b x)^{-m} \text{Gamma}(m+1,b x)}{2 b}",0,"(E^a*x^m*Gamma[1 + m, -(b*x)])/(2*b*(-(b*x))^m) + (x^m*Gamma[1 + m, b*x])/(2*b*E^a*(b*x)^m) + Defer[Int][x^m*Csch[a + b*x], x]","A",0,0,0,0,-1,"{}"
405,1,165,0,0.1777727,"\int x^3 \cosh (a+b x) \coth (a+b x) \, dx","Int[x^3*Cosh[a + b*x]*Coth[a + b*x],x]","-\frac{3 x^2 \text{PolyLog}\left(2,-e^{a+b x}\right)}{b^2}+\frac{3 x^2 \text{PolyLog}\left(2,e^{a+b x}\right)}{b^2}+\frac{6 x \text{PolyLog}\left(3,-e^{a+b x}\right)}{b^3}-\frac{6 x \text{PolyLog}\left(3,e^{a+b x}\right)}{b^3}-\frac{6 \text{PolyLog}\left(4,-e^{a+b x}\right)}{b^4}+\frac{6 \text{PolyLog}\left(4,e^{a+b x}\right)}{b^4}-\frac{3 x^2 \sinh (a+b x)}{b^2}-\frac{6 \sinh (a+b x)}{b^4}+\frac{6 x \cosh (a+b x)}{b^3}+\frac{x^3 \cosh (a+b x)}{b}-\frac{2 x^3 \tanh ^{-1}\left(e^{a+b x}\right)}{b}","-\frac{3 x^2 \text{PolyLog}\left(2,-e^{a+b x}\right)}{b^2}+\frac{3 x^2 \text{PolyLog}\left(2,e^{a+b x}\right)}{b^2}+\frac{6 x \text{PolyLog}\left(3,-e^{a+b x}\right)}{b^3}-\frac{6 x \text{PolyLog}\left(3,e^{a+b x}\right)}{b^3}-\frac{6 \text{PolyLog}\left(4,-e^{a+b x}\right)}{b^4}+\frac{6 \text{PolyLog}\left(4,e^{a+b x}\right)}{b^4}-\frac{3 x^2 \sinh (a+b x)}{b^2}-\frac{6 \sinh (a+b x)}{b^4}+\frac{6 x \cosh (a+b x)}{b^3}+\frac{x^3 \cosh (a+b x)}{b}-\frac{2 x^3 \tanh ^{-1}\left(e^{a+b x}\right)}{b}",1,"(-2*x^3*ArcTanh[E^(a + b*x)])/b + (6*x*Cosh[a + b*x])/b^3 + (x^3*Cosh[a + b*x])/b - (3*x^2*PolyLog[2, -E^(a + b*x)])/b^2 + (3*x^2*PolyLog[2, E^(a + b*x)])/b^2 + (6*x*PolyLog[3, -E^(a + b*x)])/b^3 - (6*x*PolyLog[3, E^(a + b*x)])/b^3 - (6*PolyLog[4, -E^(a + b*x)])/b^4 + (6*PolyLog[4, E^(a + b*x)])/b^4 - (6*Sinh[a + b*x])/b^4 - (3*x^2*Sinh[a + b*x])/b^2","A",14,8,16,0.5000,1,"{5450, 3296, 2637, 4182, 2531, 6609, 2282, 6589}"
406,1,115,0,0.1231827,"\int x^2 \cosh (a+b x) \coth (a+b x) \, dx","Int[x^2*Cosh[a + b*x]*Coth[a + b*x],x]","-\frac{2 x \text{PolyLog}\left(2,-e^{a+b x}\right)}{b^2}+\frac{2 x \text{PolyLog}\left(2,e^{a+b x}\right)}{b^2}+\frac{2 \text{PolyLog}\left(3,-e^{a+b x}\right)}{b^3}-\frac{2 \text{PolyLog}\left(3,e^{a+b x}\right)}{b^3}-\frac{2 x \sinh (a+b x)}{b^2}+\frac{2 \cosh (a+b x)}{b^3}+\frac{x^2 \cosh (a+b x)}{b}-\frac{2 x^2 \tanh ^{-1}\left(e^{a+b x}\right)}{b}","-\frac{2 x \text{PolyLog}\left(2,-e^{a+b x}\right)}{b^2}+\frac{2 x \text{PolyLog}\left(2,e^{a+b x}\right)}{b^2}+\frac{2 \text{PolyLog}\left(3,-e^{a+b x}\right)}{b^3}-\frac{2 \text{PolyLog}\left(3,e^{a+b x}\right)}{b^3}-\frac{2 x \sinh (a+b x)}{b^2}+\frac{2 \cosh (a+b x)}{b^3}+\frac{x^2 \cosh (a+b x)}{b}-\frac{2 x^2 \tanh ^{-1}\left(e^{a+b x}\right)}{b}",1,"(-2*x^2*ArcTanh[E^(a + b*x)])/b + (2*Cosh[a + b*x])/b^3 + (x^2*Cosh[a + b*x])/b - (2*x*PolyLog[2, -E^(a + b*x)])/b^2 + (2*x*PolyLog[2, E^(a + b*x)])/b^2 + (2*PolyLog[3, -E^(a + b*x)])/b^3 - (2*PolyLog[3, E^(a + b*x)])/b^3 - (2*x*Sinh[a + b*x])/b^2","A",11,7,16,0.4375,1,"{5450, 3296, 2638, 4182, 2531, 2282, 6589}"
407,1,66,0,0.0611381,"\int x \cosh (a+b x) \coth (a+b x) \, dx","Int[x*Cosh[a + b*x]*Coth[a + b*x],x]","-\frac{\text{PolyLog}\left(2,-e^{a+b x}\right)}{b^2}+\frac{\text{PolyLog}\left(2,e^{a+b x}\right)}{b^2}-\frac{\sinh (a+b x)}{b^2}+\frac{x \cosh (a+b x)}{b}-\frac{2 x \tanh ^{-1}\left(e^{a+b x}\right)}{b}","-\frac{\text{PolyLog}\left(2,-e^{a+b x}\right)}{b^2}+\frac{\text{PolyLog}\left(2,e^{a+b x}\right)}{b^2}-\frac{\sinh (a+b x)}{b^2}+\frac{x \cosh (a+b x)}{b}-\frac{2 x \tanh ^{-1}\left(e^{a+b x}\right)}{b}",1,"(-2*x*ArcTanh[E^(a + b*x)])/b + (x*Cosh[a + b*x])/b - PolyLog[2, -E^(a + b*x)]/b^2 + PolyLog[2, E^(a + b*x)]/b^2 - Sinh[a + b*x]/b^2","A",8,6,14,0.4286,1,"{5450, 3296, 2637, 4182, 2279, 2391}"
408,1,23,0,0.0173175,"\int \cosh (a+b x) \coth (a+b x) \, dx","Int[Cosh[a + b*x]*Coth[a + b*x],x]","\frac{\cosh (a+b x)}{b}-\frac{\tanh ^{-1}(\cosh (a+b x))}{b}","\frac{\cosh (a+b x)}{b}-\frac{\tanh ^{-1}(\cosh (a+b x))}{b}",1,"-(ArcTanh[Cosh[a + b*x]]/b) + Cosh[a + b*x]/b","A",3,3,13,0.2308,1,"{2592, 321, 206}"
409,0,0,0,0.0801649,"\int \frac{\cosh (a+b x) \coth (a+b x)}{x} \, dx","Int[(Cosh[a + b*x]*Coth[a + b*x])/x,x]","\int \frac{\cosh (a+b x) \coth (a+b x)}{x} \, dx","\text{Int}\left(\frac{\text{csch}(a+b x)}{x},x\right)+\sinh (a) \text{Chi}(b x)+\cosh (a) \text{Shi}(b x)",0,"CoshIntegral[b*x]*Sinh[a] + Cosh[a]*SinhIntegral[b*x] + Defer[Int][Csch[a + b*x]/x, x]","A",0,0,0,0,-1,"{}"
410,0,0,0,0.0987742,"\int \frac{\cosh (a+b x) \coth (a+b x)}{x^2} \, dx","Int[(Cosh[a + b*x]*Coth[a + b*x])/x^2,x]","\int \frac{\cosh (a+b x) \coth (a+b x)}{x^2} \, dx","\text{Int}\left(\frac{\text{csch}(a+b x)}{x^2},x\right)+b \cosh (a) \text{Chi}(b x)+b \sinh (a) \text{Shi}(b x)-\frac{\sinh (a+b x)}{x}",0,"b*Cosh[a]*CoshIntegral[b*x] - Sinh[a + b*x]/x + b*Sinh[a]*SinhIntegral[b*x] + Defer[Int][Csch[a + b*x]/x^2, x]","A",0,0,0,0,-1,"{}"
411,0,0,0,0.1314733,"\int x^m \cosh ^2(a+b x) \coth (a+b x) \, dx","Int[x^m*Cosh[a + b*x]^2*Coth[a + b*x],x]","\int x^m \cosh ^2(a+b x) \coth (a+b x) \, dx","\text{Int}\left(x^m \coth (a+b x),x\right)+\frac{e^{2 a} 2^{-m-3} x^m (-b x)^{-m} \text{Gamma}(m+1,-2 b x)}{b}+\frac{e^{-2 a} 2^{-m-3} x^m (b x)^{-m} \text{Gamma}(m+1,2 b x)}{b}",0,"(2^(-3 - m)*E^(2*a)*x^m*Gamma[1 + m, -2*b*x])/(b*(-(b*x))^m) + (2^(-3 - m)*x^m*Gamma[1 + m, 2*b*x])/(b*E^(2*a)*(b*x)^m) + Defer[Int][x^m*Coth[a + b*x], x]","A",0,0,0,0,-1,"{}"
412,1,180,0,0.2368011,"\int x^3 \cosh ^2(a+b x) \coth (a+b x) \, dx","Int[x^3*Cosh[a + b*x]^2*Coth[a + b*x],x]","\frac{3 x^2 \text{PolyLog}\left(2,e^{2 (a+b x)}\right)}{2 b^2}-\frac{3 x \text{PolyLog}\left(3,e^{2 (a+b x)}\right)}{2 b^3}+\frac{3 \text{PolyLog}\left(4,e^{2 (a+b x)}\right)}{4 b^4}-\frac{3 x^2 \sinh (a+b x) \cosh (a+b x)}{4 b^2}+\frac{3 x \sinh ^2(a+b x)}{4 b^3}-\frac{3 \sinh (a+b x) \cosh (a+b x)}{8 b^4}+\frac{x^3 \log \left(1-e^{2 (a+b x)}\right)}{b}+\frac{x^3 \sinh ^2(a+b x)}{2 b}+\frac{3 x}{8 b^3}+\frac{x^3}{4 b}-\frac{x^4}{4}","\frac{3 x^2 \text{PolyLog}\left(2,e^{2 (a+b x)}\right)}{2 b^2}-\frac{3 x \text{PolyLog}\left(3,e^{2 (a+b x)}\right)}{2 b^3}+\frac{3 \text{PolyLog}\left(4,e^{2 (a+b x)}\right)}{4 b^4}-\frac{3 x^2 \sinh (a+b x) \cosh (a+b x)}{4 b^2}+\frac{3 x \sinh ^2(a+b x)}{4 b^3}-\frac{3 \sinh (a+b x) \cosh (a+b x)}{8 b^4}+\frac{x^3 \log \left(1-e^{2 (a+b x)}\right)}{b}+\frac{x^3 \sinh ^2(a+b x)}{2 b}+\frac{3 x}{8 b^3}+\frac{x^3}{4 b}-\frac{x^4}{4}",1,"(3*x)/(8*b^3) + x^3/(4*b) - x^4/4 + (x^3*Log[1 - E^(2*(a + b*x))])/b + (3*x^2*PolyLog[2, E^(2*(a + b*x))])/(2*b^2) - (3*x*PolyLog[3, E^(2*(a + b*x))])/(2*b^3) + (3*PolyLog[4, E^(2*(a + b*x))])/(4*b^4) - (3*Cosh[a + b*x]*Sinh[a + b*x])/(8*b^4) - (3*x^2*Cosh[a + b*x]*Sinh[a + b*x])/(4*b^2) + (3*x*Sinh[a + b*x]^2)/(4*b^3) + (x^3*Sinh[a + b*x]^2)/(2*b)","A",12,12,18,0.6667,1,"{5450, 5372, 3311, 30, 2635, 8, 3716, 2190, 2531, 6609, 2282, 6589}"
413,1,126,0,0.196835,"\int x^2 \cosh ^2(a+b x) \coth (a+b x) \, dx","Int[x^2*Cosh[a + b*x]^2*Coth[a + b*x],x]","\frac{x \text{PolyLog}\left(2,e^{2 (a+b x)}\right)}{b^2}-\frac{\text{PolyLog}\left(3,e^{2 (a+b x)}\right)}{2 b^3}+\frac{\sinh ^2(a+b x)}{4 b^3}-\frac{x \sinh (a+b x) \cosh (a+b x)}{2 b^2}+\frac{x^2 \log \left(1-e^{2 (a+b x)}\right)}{b}+\frac{x^2 \sinh ^2(a+b x)}{2 b}+\frac{x^2}{4 b}-\frac{x^3}{3}","\frac{x \text{PolyLog}\left(2,e^{2 (a+b x)}\right)}{b^2}-\frac{\text{PolyLog}\left(3,e^{2 (a+b x)}\right)}{2 b^3}+\frac{\sinh ^2(a+b x)}{4 b^3}-\frac{x \sinh (a+b x) \cosh (a+b x)}{2 b^2}+\frac{x^2 \log \left(1-e^{2 (a+b x)}\right)}{b}+\frac{x^2 \sinh ^2(a+b x)}{2 b}+\frac{x^2}{4 b}-\frac{x^3}{3}",1,"x^2/(4*b) - x^3/3 + (x^2*Log[1 - E^(2*(a + b*x))])/b + (x*PolyLog[2, E^(2*(a + b*x))])/b^2 - PolyLog[3, E^(2*(a + b*x))]/(2*b^3) - (x*Cosh[a + b*x]*Sinh[a + b*x])/(2*b^2) + Sinh[a + b*x]^2/(4*b^3) + (x^2*Sinh[a + b*x]^2)/(2*b)","A",9,9,18,0.5000,1,"{5450, 5372, 3310, 30, 3716, 2190, 2531, 2282, 6589}"
414,1,88,0,0.1205769,"\int x \cosh ^2(a+b x) \coth (a+b x) \, dx","Int[x*Cosh[a + b*x]^2*Coth[a + b*x],x]","\frac{\text{PolyLog}\left(2,e^{2 (a+b x)}\right)}{2 b^2}-\frac{\sinh (a+b x) \cosh (a+b x)}{4 b^2}+\frac{x \log \left(1-e^{2 (a+b x)}\right)}{b}+\frac{x \sinh ^2(a+b x)}{2 b}+\frac{x}{4 b}-\frac{x^2}{2}","\frac{\text{PolyLog}\left(2,e^{2 (a+b x)}\right)}{2 b^2}-\frac{\sinh (a+b x) \cosh (a+b x)}{4 b^2}+\frac{x \log \left(1-e^{2 (a+b x)}\right)}{b}+\frac{x \sinh ^2(a+b x)}{2 b}+\frac{x}{4 b}-\frac{x^2}{2}",1,"x/(4*b) - x^2/2 + (x*Log[1 - E^(2*(a + b*x))])/b + PolyLog[2, E^(2*(a + b*x))]/(2*b^2) - (Cosh[a + b*x]*Sinh[a + b*x])/(4*b^2) + (x*Sinh[a + b*x]^2)/(2*b)","A",8,8,16,0.5000,1,"{5450, 5372, 2635, 8, 3716, 2190, 2279, 2391}"
415,1,27,0,0.0232833,"\int \cosh ^2(a+b x) \coth (a+b x) \, dx","Int[Cosh[a + b*x]^2*Coth[a + b*x],x]","\frac{\sinh ^2(a+b x)}{2 b}+\frac{\log (\sinh (a+b x))}{b}","\frac{\sinh ^2(a+b x)}{2 b}+\frac{\log (\sinh (a+b x))}{b}",1,"Log[Sinh[a + b*x]]/b + Sinh[a + b*x]^2/(2*b)","A",3,2,15,0.1333,1,"{2590, 14}"
416,0,0,0,0.1040778,"\int \frac{\cosh ^2(a+b x) \coth (a+b x)}{x} \, dx","Int[(Cosh[a + b*x]^2*Coth[a + b*x])/x,x]","\int \frac{\cosh ^2(a+b x) \coth (a+b x)}{x} \, dx","\text{Int}\left(\frac{\coth (a+b x)}{x},x\right)+\frac{1}{2} \sinh (2 a) \text{Chi}(2 b x)+\frac{1}{2} \cosh (2 a) \text{Shi}(2 b x)",0,"(CoshIntegral[2*b*x]*Sinh[2*a])/2 + (Cosh[2*a]*SinhIntegral[2*b*x])/2 + Defer[Int][Coth[a + b*x]/x, x]","A",0,0,0,0,-1,"{}"
417,0,0,0,0.1278002,"\int \frac{\cosh ^2(a+b x) \coth (a+b x)}{x^2} \, dx","Int[(Cosh[a + b*x]^2*Coth[a + b*x])/x^2,x]","\int \frac{\cosh ^2(a+b x) \coth (a+b x)}{x^2} \, dx","\text{Int}\left(\frac{\coth (a+b x)}{x^2},x\right)+b \cosh (2 a) \text{Chi}(2 b x)+b \sinh (2 a) \text{Shi}(2 b x)-\frac{\sinh (2 a+2 b x)}{2 x}",0,"b*Cosh[2*a]*CoshIntegral[2*b*x] - Sinh[2*a + 2*b*x]/(2*x) + b*Sinh[2*a]*SinhIntegral[2*b*x] + Defer[Int][Coth[a + b*x]/x^2, x]","A",0,0,0,0,-1,"{}"
418,1,33,0,0.0543393,"\int x \cosh ^2(x) \coth ^2(x) \, dx","Int[x*Cosh[x]^2*Coth[x]^2,x]","\frac{3 x^2}{4}-\frac{\cosh ^2(x)}{4}-x \coth (x)+\log (\sinh (x))+\frac{1}{2} x \sinh (x) \cosh (x)","\frac{3 x^2}{4}-\frac{\cosh ^2(x)}{4}-x \coth (x)+\log (\sinh (x))+\frac{1}{2} x \sinh (x) \cosh (x)",1,"(3*x^2)/4 - Cosh[x]^2/4 - x*Coth[x] + Log[Sinh[x]] + (x*Cosh[x]*Sinh[x])/2","A",6,5,10,0.5000,1,"{5450, 3310, 30, 3720, 3475}"
419,1,73,0,0.1579669,"\int x^2 \cosh ^2(x) \coth ^2(x) \, dx","Int[x^2*Cosh[x]^2*Coth[x]^2,x]","\text{PolyLog}\left(2,e^{2 x}\right)+\frac{x^3}{2}-x^2-x^2 \coth (x)+\frac{1}{2} x^2 \sinh (x) \cosh (x)+\frac{x}{4}+2 x \log \left(1-e^{2 x}\right)-\frac{1}{2} x \cosh ^2(x)+\frac{1}{4} \sinh (x) \cosh (x)","\text{PolyLog}\left(2,e^{2 x}\right)+\frac{x^3}{2}-x^2-x^2 \coth (x)+\frac{1}{2} x^2 \sinh (x) \cosh (x)+\frac{x}{4}+2 x \log \left(1-e^{2 x}\right)-\frac{1}{2} x \cosh ^2(x)+\frac{1}{4} \sinh (x) \cosh (x)",1,"x/4 - x^2 + x^3/2 - (x*Cosh[x]^2)/2 - x^2*Coth[x] + 2*x*Log[1 - E^(2*x)] + PolyLog[2, E^(2*x)] + (Cosh[x]*Sinh[x])/4 + (x^2*Cosh[x]*Sinh[x])/2","A",11,10,12,0.8333,1,"{5450, 3311, 30, 2635, 8, 3720, 3716, 2190, 2279, 2391}"
420,1,102,0,0.1826286,"\int x^3 \cosh ^2(x) \coth ^2(x) \, dx","Int[x^3*Cosh[x]^2*Coth[x]^2,x]","3 x \text{PolyLog}\left(2,e^{2 x}\right)-\frac{3}{2} \text{PolyLog}\left(3,e^{2 x}\right)+\frac{3 x^4}{8}-x^3+\frac{3 x^2}{8}+3 x^2 \log \left(1-e^{2 x}\right)-\frac{3}{4} x^2 \cosh ^2(x)-x^3 \coth (x)+\frac{1}{2} x^3 \sinh (x) \cosh (x)-\frac{3 \cosh ^2(x)}{8}+\frac{3}{4} x \sinh (x) \cosh (x)","3 x \text{PolyLog}\left(2,e^{2 x}\right)-\frac{3}{2} \text{PolyLog}\left(3,e^{2 x}\right)+\frac{3 x^4}{8}-x^3+\frac{3 x^2}{8}+3 x^2 \log \left(1-e^{2 x}\right)-\frac{3}{4} x^2 \cosh ^2(x)-x^3 \coth (x)+\frac{1}{2} x^3 \sinh (x) \cosh (x)-\frac{3 \cosh ^2(x)}{8}+\frac{3}{4} x \sinh (x) \cosh (x)",1,"(3*x^2)/8 - x^3 + (3*x^4)/8 - (3*Cosh[x]^2)/8 - (3*x^2*Cosh[x]^2)/4 - x^3*Coth[x] + 3*x^2*Log[1 - E^(2*x)] + 3*x*PolyLog[2, E^(2*x)] - (3*PolyLog[3, E^(2*x)])/2 + (3*x*Cosh[x]*Sinh[x])/4 + (x^3*Cosh[x]*Sinh[x])/2","A",12,10,12,0.8333,1,"{5450, 3311, 30, 3310, 3720, 3716, 2190, 2531, 2282, 6589}"
421,1,63,0,0.1628431,"\int x \cosh ^2(x) \coth ^3(x) \, dx","Int[x*Cosh[x]^2*Coth[x]^3,x]","\text{PolyLog}\left(2,e^{2 x}\right)-x^2+\frac{3 x}{4}+2 x \log \left(1-e^{2 x}\right)+\frac{1}{2} x \sinh ^2(x)-\frac{1}{2} x \coth ^2(x)-\frac{\coth (x)}{2}-\frac{1}{4} \sinh (x) \cosh (x)","\text{PolyLog}\left(2,e^{2 x}\right)-x^2+\frac{3 x}{4}+2 x \log \left(1-e^{2 x}\right)+\frac{1}{2} x \sinh ^2(x)-\frac{1}{2} x \coth ^2(x)-\frac{\coth (x)}{2}-\frac{1}{4} \sinh (x) \cosh (x)",1,"(3*x)/4 - x^2 - Coth[x]/2 - (x*Coth[x]^2)/2 + 2*x*Log[1 - E^(2*x)] + PolyLog[2, E^(2*x)] - (Cosh[x]*Sinh[x])/4 + (x*Sinh[x]^2)/2","A",16,10,10,1.000,1,"{5450, 5372, 2635, 8, 3716, 2190, 2279, 2391, 3720, 3473}"
422,1,96,0,0.2801646,"\int x^2 \cosh ^2(x) \coth ^3(x) \, dx","Int[x^2*Cosh[x]^2*Coth[x]^3,x]","2 x \text{PolyLog}\left(2,e^{2 x}\right)-\text{PolyLog}\left(3,e^{2 x}\right)-\frac{2 x^3}{3}+\frac{3 x^2}{4}+2 x^2 \log \left(1-e^{2 x}\right)+\frac{1}{2} x^2 \sinh ^2(x)-\frac{1}{2} x^2 \coth ^2(x)+\frac{\sinh ^2(x)}{4}-x \coth (x)+\log (\sinh (x))-\frac{1}{2} x \sinh (x) \cosh (x)","2 x \text{PolyLog}\left(2,e^{2 x}\right)-\text{PolyLog}\left(3,e^{2 x}\right)-\frac{2 x^3}{3}+\frac{3 x^2}{4}+2 x^2 \log \left(1-e^{2 x}\right)+\frac{1}{2} x^2 \sinh ^2(x)-\frac{1}{2} x^2 \coth ^2(x)+\frac{\sinh ^2(x)}{4}-x \coth (x)+\log (\sinh (x))-\frac{1}{2} x \sinh (x) \cosh (x)",1,"(3*x^2)/4 - (2*x^3)/3 - x*Coth[x] - (x^2*Coth[x]^2)/2 + 2*x^2*Log[1 - E^(2*x)] + Log[Sinh[x]] + 2*x*PolyLog[2, E^(2*x)] - PolyLog[3, E^(2*x)] - (x*Cosh[x]*Sinh[x])/2 + Sinh[x]^2/4 + (x^2*Sinh[x]^2)/2","A",19,11,12,0.9167,1,"{5450, 5372, 3310, 30, 3716, 2190, 2531, 2282, 6589, 3720, 3475}"
423,1,158,0,0.3856644,"\int x^3 \cosh ^2(x) \coth ^3(x) \, dx","Int[x^3*Cosh[x]^2*Coth[x]^3,x]","3 x^2 \text{PolyLog}\left(2,e^{2 x}\right)-3 x \text{PolyLog}\left(3,e^{2 x}\right)+\frac{3}{2} \text{PolyLog}\left(2,e^{2 x}\right)+\frac{3}{2} \text{PolyLog}\left(4,e^{2 x}\right)-\frac{x^4}{2}+\frac{3 x^3}{4}-\frac{3 x^2}{2}+2 x^3 \log \left(1-e^{2 x}\right)+\frac{1}{2} x^3 \sinh ^2(x)-\frac{1}{2} x^3 \coth ^2(x)-\frac{3}{2} x^2 \coth (x)-\frac{3}{4} x^2 \sinh (x) \cosh (x)+\frac{3 x}{8}+3 x \log \left(1-e^{2 x}\right)+\frac{3}{4} x \sinh ^2(x)-\frac{3}{8} \sinh (x) \cosh (x)","3 x^2 \text{PolyLog}\left(2,e^{2 x}\right)-3 x \text{PolyLog}\left(3,e^{2 x}\right)+\frac{3}{2} \text{PolyLog}\left(2,e^{2 x}\right)+\frac{3}{2} \text{PolyLog}\left(4,e^{2 x}\right)-\frac{x^4}{2}+\frac{3 x^3}{4}-\frac{3 x^2}{2}+2 x^3 \log \left(1-e^{2 x}\right)+\frac{1}{2} x^3 \sinh ^2(x)-\frac{1}{2} x^3 \coth ^2(x)-\frac{3}{2} x^2 \coth (x)-\frac{3}{4} x^2 \sinh (x) \cosh (x)+\frac{3 x}{8}+3 x \log \left(1-e^{2 x}\right)+\frac{3}{4} x \sinh ^2(x)-\frac{3}{8} \sinh (x) \cosh (x)",1,"(3*x)/8 - (3*x^2)/2 + (3*x^3)/4 - x^4/2 - (3*x^2*Coth[x])/2 - (x^3*Coth[x]^2)/2 + 3*x*Log[1 - E^(2*x)] + 2*x^3*Log[1 - E^(2*x)] + (3*PolyLog[2, E^(2*x)])/2 + 3*x^2*PolyLog[2, E^(2*x)] - 3*x*PolyLog[3, E^(2*x)] + (3*PolyLog[4, E^(2*x)])/2 - (3*Cosh[x]*Sinh[x])/8 - (3*x^2*Cosh[x]*Sinh[x])/4 + (3*x*Sinh[x]^2)/4 + (x^3*Sinh[x]^2)/2","A",26,15,12,1.250,1,"{5450, 5372, 3311, 30, 2635, 8, 3716, 2190, 2531, 6609, 2282, 6589, 3720, 2279, 2391}"
424,0,0,0,0.3797374,"\int x^m \coth (a+b x) \text{csch}(a+b x) \, dx","Int[x^m*Coth[a + b*x]*Csch[a + b*x],x]","\int x^m \coth (a+b x) \text{csch}(a+b x) \, dx","\text{Int}\left(x^m \coth (a+b x) \text{csch}(a+b x),x\right)",0,"Defer[Int][x^m*Coth[a + b*x]*Csch[a + b*x], x]","A",0,0,0,0,-1,"{}"
425,1,93,0,0.1046493,"\int x^3 \coth (a+b x) \text{csch}(a+b x) \, dx","Int[x^3*Coth[a + b*x]*Csch[a + b*x],x]","-\frac{6 x \text{PolyLog}\left(2,-e^{a+b x}\right)}{b^3}+\frac{6 x \text{PolyLog}\left(2,e^{a+b x}\right)}{b^3}+\frac{6 \text{PolyLog}\left(3,-e^{a+b x}\right)}{b^4}-\frac{6 \text{PolyLog}\left(3,e^{a+b x}\right)}{b^4}-\frac{6 x^2 \tanh ^{-1}\left(e^{a+b x}\right)}{b^2}-\frac{x^3 \text{csch}(a+b x)}{b}","-\frac{6 x \text{PolyLog}\left(2,-e^{a+b x}\right)}{b^3}+\frac{6 x \text{PolyLog}\left(2,e^{a+b x}\right)}{b^3}+\frac{6 \text{PolyLog}\left(3,-e^{a+b x}\right)}{b^4}-\frac{6 \text{PolyLog}\left(3,e^{a+b x}\right)}{b^4}-\frac{6 x^2 \tanh ^{-1}\left(e^{a+b x}\right)}{b^2}-\frac{x^3 \text{csch}(a+b x)}{b}",1,"(-6*x^2*ArcTanh[E^(a + b*x)])/b^2 - (x^3*Csch[a + b*x])/b - (6*x*PolyLog[2, -E^(a + b*x)])/b^3 + (6*x*PolyLog[2, E^(a + b*x)])/b^3 + (6*PolyLog[3, -E^(a + b*x)])/b^4 - (6*PolyLog[3, E^(a + b*x)])/b^4","A",8,5,16,0.3125,1,"{5419, 4182, 2531, 2282, 6589}"
426,1,59,0,0.0605293,"\int x^2 \coth (a+b x) \text{csch}(a+b x) \, dx","Int[x^2*Coth[a + b*x]*Csch[a + b*x],x]","-\frac{2 \text{PolyLog}\left(2,-e^{a+b x}\right)}{b^3}+\frac{2 \text{PolyLog}\left(2,e^{a+b x}\right)}{b^3}-\frac{4 x \tanh ^{-1}\left(e^{a+b x}\right)}{b^2}-\frac{x^2 \text{csch}(a+b x)}{b}","-\frac{2 \text{PolyLog}\left(2,-e^{a+b x}\right)}{b^3}+\frac{2 \text{PolyLog}\left(2,e^{a+b x}\right)}{b^3}-\frac{4 x \tanh ^{-1}\left(e^{a+b x}\right)}{b^2}-\frac{x^2 \text{csch}(a+b x)}{b}",1,"(-4*x*ArcTanh[E^(a + b*x)])/b^2 - (x^2*Csch[a + b*x])/b - (2*PolyLog[2, -E^(a + b*x)])/b^3 + (2*PolyLog[2, E^(a + b*x)])/b^3","A",6,4,16,0.2500,1,"{5419, 4182, 2279, 2391}"
427,1,25,0,0.018915,"\int x \coth (a+b x) \text{csch}(a+b x) \, dx","Int[x*Coth[a + b*x]*Csch[a + b*x],x]","-\frac{\tanh ^{-1}(\cosh (a+b x))}{b^2}-\frac{x \text{csch}(a+b x)}{b}","-\frac{\tanh ^{-1}(\cosh (a+b x))}{b^2}-\frac{x \text{csch}(a+b x)}{b}",1,"-(ArcTanh[Cosh[a + b*x]]/b^2) - (x*Csch[a + b*x])/b","A",2,2,14,0.1429,1,"{5419, 3770}"
428,1,11,0,0.0113572,"\int \coth (a+b x) \text{csch}(a+b x) \, dx","Int[Coth[a + b*x]*Csch[a + b*x],x]","-\frac{\text{csch}(a+b x)}{b}","-\frac{\text{csch}(a+b x)}{b}",1,"-(Csch[a + b*x]/b)","A",2,2,13,0.1538,1,"{2606, 8}"
429,0,0,0,0.1418509,"\int \frac{\coth (a+b x) \text{csch}(a+b x)}{x} \, dx","Int[(Coth[a + b*x]*Csch[a + b*x])/x,x]","\int \frac{\coth (a+b x) \text{csch}(a+b x)}{x} \, dx","\text{Int}\left(\frac{\coth (a+b x) \text{csch}(a+b x)}{x},x\right)",0,"Defer[Int][(Coth[a + b*x]*Csch[a + b*x])/x, x]","A",0,0,0,0,-1,"{}"
430,0,0,0,0.1927233,"\int \frac{\coth (a+b x) \text{csch}(a+b x)}{x^2} \, dx","Int[(Coth[a + b*x]*Csch[a + b*x])/x^2,x]","\int \frac{\coth (a+b x) \text{csch}(a+b x)}{x^2} \, dx","\text{Int}\left(\frac{\coth (a+b x) \text{csch}(a+b x)}{x^2},x\right)",0,"Defer[Int][(Coth[a + b*x]*Csch[a + b*x])/x^2, x]","A",0,0,0,0,-1,"{}"
431,0,0,0,0.031893,"\int x^m \coth ^2(a+b x) \, dx","Int[x^m*Coth[a + b*x]^2,x]","\int x^m \coth ^2(a+b x) \, dx","\text{Int}\left(x^m \coth ^2(a+b x),x\right)",0,"Defer[Int][x^m*Coth[a + b*x]^2, x]","A",0,0,0,0,-1,"{}"
432,1,87,0,0.1901538,"\int x^3 \coth ^2(a+b x) \, dx","Int[x^3*Coth[a + b*x]^2,x]","\frac{3 x \text{PolyLog}\left(2,e^{2 (a+b x)}\right)}{b^3}-\frac{3 \text{PolyLog}\left(3,e^{2 (a+b x)}\right)}{2 b^4}+\frac{3 x^2 \log \left(1-e^{2 (a+b x)}\right)}{b^2}-\frac{x^3 \coth (a+b x)}{b}-\frac{x^3}{b}+\frac{x^4}{4}","\frac{3 x \text{PolyLog}\left(2,e^{2 (a+b x)}\right)}{b^3}-\frac{3 \text{PolyLog}\left(3,e^{2 (a+b x)}\right)}{2 b^4}+\frac{3 x^2 \log \left(1-e^{2 (a+b x)}\right)}{b^2}-\frac{x^3 \coth (a+b x)}{b}-\frac{x^3}{b}+\frac{x^4}{4}",1,"-(x^3/b) + x^4/4 - (x^3*Coth[a + b*x])/b + (3*x^2*Log[1 - E^(2*(a + b*x))])/b^2 + (3*x*PolyLog[2, E^(2*(a + b*x))])/b^3 - (3*PolyLog[3, E^(2*(a + b*x))])/(2*b^4)","A",7,7,12,0.5833,1,"{3720, 3716, 2190, 2531, 2282, 6589, 30}"
433,1,65,0,0.1246579,"\int x^2 \coth ^2(a+b x) \, dx","Int[x^2*Coth[a + b*x]^2,x]","\frac{\text{PolyLog}\left(2,e^{2 (a+b x)}\right)}{b^3}+\frac{2 x \log \left(1-e^{2 (a+b x)}\right)}{b^2}-\frac{x^2 \coth (a+b x)}{b}-\frac{x^2}{b}+\frac{x^3}{3}","\frac{\text{PolyLog}\left(2,e^{2 (a+b x)}\right)}{b^3}+\frac{2 x \log \left(1-e^{2 (a+b x)}\right)}{b^2}-\frac{x^2 \coth (a+b x)}{b}-\frac{x^2}{b}+\frac{x^3}{3}",1,"-(x^2/b) + x^3/3 - (x^2*Coth[a + b*x])/b + (2*x*Log[1 - E^(2*(a + b*x))])/b^2 + PolyLog[2, E^(2*(a + b*x))]/b^3","A",6,6,12,0.5000,1,"{3720, 3716, 2190, 2279, 2391, 30}"
434,1,31,0,0.0281605,"\int x \coth ^2(a+b x) \, dx","Int[x*Coth[a + b*x]^2,x]","\frac{\log (\sinh (a+b x))}{b^2}-\frac{x \coth (a+b x)}{b}+\frac{x^2}{2}","\frac{\log (\sinh (a+b x))}{b^2}-\frac{x \coth (a+b x)}{b}+\frac{x^2}{2}",1,"x^2/2 - (x*Coth[a + b*x])/b + Log[Sinh[a + b*x]]/b^2","A",3,3,10,0.3000,1,"{3720, 3475, 30}"
435,1,13,0,0.00946,"\int \coth ^2(a+b x) \, dx","Int[Coth[a + b*x]^2,x]","x-\frac{\coth (a+b x)}{b}","x-\frac{\coth (a+b x)}{b}",1,"x - Coth[a + b*x]/b","A",2,2,8,0.2500,1,"{3473, 8}"
436,0,0,0,0.0300103,"\int \frac{\coth ^2(a+b x)}{x} \, dx","Int[Coth[a + b*x]^2/x,x]","\int \frac{\coth ^2(a+b x)}{x} \, dx","\text{Int}\left(\frac{\coth ^2(a+b x)}{x},x\right)",0,"Defer[Int][Coth[a + b*x]^2/x, x]","A",0,0,0,0,-1,"{}"
437,0,0,0,0.0306246,"\int \frac{\coth ^2(a+b x)}{x^2} \, dx","Int[Coth[a + b*x]^2/x^2,x]","\int \frac{\coth ^2(a+b x)}{x^2} \, dx","\text{Int}\left(\frac{\coth ^2(a+b x)}{x^2},x\right)",0,"Defer[Int][Coth[a + b*x]^2/x^2, x]","A",0,0,0,0,-1,"{}"
438,0,0,0,0.1533106,"\int x^m \cosh (a+b x) \coth ^2(a+b x) \, dx","Int[x^m*Cosh[a + b*x]*Coth[a + b*x]^2,x]","\int x^m \cosh (a+b x) \coth ^2(a+b x) \, dx","\text{Int}\left(x^m \coth (a+b x) \text{csch}(a+b x),x\right)+\frac{e^a x^m (-b x)^{-m} \text{Gamma}(m+1,-b x)}{2 b}-\frac{e^{-a} x^m (b x)^{-m} \text{Gamma}(m+1,b x)}{2 b}",0,"(E^a*x^m*Gamma[1 + m, -(b*x)])/(2*b*(-(b*x))^m) - (x^m*Gamma[1 + m, b*x])/(2*b*E^a*(b*x)^m) + Defer[Int][x^m*Coth[a + b*x]*Csch[a + b*x], x]","A",0,0,0,0,-1,"{}"
439,1,143,0,0.1842145,"\int x^3 \cosh (a+b x) \coth ^2(a+b x) \, dx","Int[x^3*Cosh[a + b*x]*Coth[a + b*x]^2,x]","-\frac{6 x \text{PolyLog}\left(2,-e^{a+b x}\right)}{b^3}+\frac{6 x \text{PolyLog}\left(2,e^{a+b x}\right)}{b^3}+\frac{6 \text{PolyLog}\left(3,-e^{a+b x}\right)}{b^4}-\frac{6 \text{PolyLog}\left(3,e^{a+b x}\right)}{b^4}-\frac{3 x^2 \cosh (a+b x)}{b^2}-\frac{6 x^2 \tanh ^{-1}\left(e^{a+b x}\right)}{b^2}+\frac{6 x \sinh (a+b x)}{b^3}-\frac{6 \cosh (a+b x)}{b^4}+\frac{x^3 \sinh (a+b x)}{b}-\frac{x^3 \text{csch}(a+b x)}{b}","-\frac{6 x \text{PolyLog}\left(2,-e^{a+b x}\right)}{b^3}+\frac{6 x \text{PolyLog}\left(2,e^{a+b x}\right)}{b^3}+\frac{6 \text{PolyLog}\left(3,-e^{a+b x}\right)}{b^4}-\frac{6 \text{PolyLog}\left(3,e^{a+b x}\right)}{b^4}-\frac{3 x^2 \cosh (a+b x)}{b^2}-\frac{6 x^2 \tanh ^{-1}\left(e^{a+b x}\right)}{b^2}+\frac{6 x \sinh (a+b x)}{b^3}-\frac{6 \cosh (a+b x)}{b^4}+\frac{x^3 \sinh (a+b x)}{b}-\frac{x^3 \text{csch}(a+b x)}{b}",1,"(-6*x^2*ArcTanh[E^(a + b*x)])/b^2 - (6*Cosh[a + b*x])/b^4 - (3*x^2*Cosh[a + b*x])/b^2 - (x^3*Csch[a + b*x])/b - (6*x*PolyLog[2, -E^(a + b*x)])/b^3 + (6*x*PolyLog[2, E^(a + b*x)])/b^3 + (6*PolyLog[3, -E^(a + b*x)])/b^4 - (6*PolyLog[3, E^(a + b*x)])/b^4 + (6*x*Sinh[a + b*x])/b^3 + (x^3*Sinh[a + b*x])/b","A",13,8,18,0.4444,1,"{5450, 3296, 2638, 5419, 4182, 2531, 2282, 6589}"
440,1,95,0,0.1178162,"\int x^2 \cosh (a+b x) \coth ^2(a+b x) \, dx","Int[x^2*Cosh[a + b*x]*Coth[a + b*x]^2,x]","-\frac{2 \text{PolyLog}\left(2,-e^{a+b x}\right)}{b^3}+\frac{2 \text{PolyLog}\left(2,e^{a+b x}\right)}{b^3}+\frac{2 \sinh (a+b x)}{b^3}-\frac{2 x \cosh (a+b x)}{b^2}-\frac{4 x \tanh ^{-1}\left(e^{a+b x}\right)}{b^2}+\frac{x^2 \sinh (a+b x)}{b}-\frac{x^2 \text{csch}(a+b x)}{b}","-\frac{2 \text{PolyLog}\left(2,-e^{a+b x}\right)}{b^3}+\frac{2 \text{PolyLog}\left(2,e^{a+b x}\right)}{b^3}+\frac{2 \sinh (a+b x)}{b^3}-\frac{2 x \cosh (a+b x)}{b^2}-\frac{4 x \tanh ^{-1}\left(e^{a+b x}\right)}{b^2}+\frac{x^2 \sinh (a+b x)}{b}-\frac{x^2 \text{csch}(a+b x)}{b}",1,"(-4*x*ArcTanh[E^(a + b*x)])/b^2 - (2*x*Cosh[a + b*x])/b^2 - (x^2*Csch[a + b*x])/b - (2*PolyLog[2, -E^(a + b*x)])/b^3 + (2*PolyLog[2, E^(a + b*x)])/b^3 + (2*Sinh[a + b*x])/b^3 + (x^2*Sinh[a + b*x])/b","A",10,7,18,0.3889,1,"{5450, 3296, 2637, 5419, 4182, 2279, 2391}"
441,1,47,0,0.0541248,"\int x \cosh (a+b x) \coth ^2(a+b x) \, dx","Int[x*Cosh[a + b*x]*Coth[a + b*x]^2,x]","-\frac{\cosh (a+b x)}{b^2}-\frac{\tanh ^{-1}(\cosh (a+b x))}{b^2}+\frac{x \sinh (a+b x)}{b}-\frac{x \text{csch}(a+b x)}{b}","-\frac{\cosh (a+b x)}{b^2}-\frac{\tanh ^{-1}(\cosh (a+b x))}{b^2}+\frac{x \sinh (a+b x)}{b}-\frac{x \text{csch}(a+b x)}{b}",1,"-(ArcTanh[Cosh[a + b*x]]/b^2) - Cosh[a + b*x]/b^2 - (x*Csch[a + b*x])/b + (x*Sinh[a + b*x])/b","A",5,5,16,0.3125,1,"{5450, 3296, 2638, 5419, 3770}"
442,1,22,0,0.0221304,"\int \cosh (a+b x) \coth ^2(a+b x) \, dx","Int[Cosh[a + b*x]*Coth[a + b*x]^2,x]","\frac{\sinh (a+b x)}{b}-\frac{\text{csch}(a+b x)}{b}","\frac{\sinh (a+b x)}{b}-\frac{\text{csch}(a+b x)}{b}",1,"-(Csch[a + b*x]/b) + Sinh[a + b*x]/b","A",3,2,15,0.1333,1,"{2590, 14}"
443,0,0,0,0.1049067,"\int \frac{\cosh (a+b x) \coth ^2(a+b x)}{x} \, dx","Int[(Cosh[a + b*x]*Coth[a + b*x]^2)/x,x]","\int \frac{\cosh (a+b x) \coth ^2(a+b x)}{x} \, dx","\text{Int}\left(\frac{\coth (a+b x) \text{csch}(a+b x)}{x},x\right)+\cosh (a) \text{Chi}(b x)+\sinh (a) \text{Shi}(b x)",0,"Cosh[a]*CoshIntegral[b*x] + Sinh[a]*SinhIntegral[b*x] + Defer[Int][(Coth[a + b*x]*Csch[a + b*x])/x, x]","A",0,0,0,0,-1,"{}"
444,0,0,0,0.1366935,"\int \frac{\cosh (a+b x) \coth ^2(a+b x)}{x^2} \, dx","Int[(Cosh[a + b*x]*Coth[a + b*x]^2)/x^2,x]","\int \frac{\cosh (a+b x) \coth ^2(a+b x)}{x^2} \, dx","\text{Int}\left(\frac{\coth (a+b x) \text{csch}(a+b x)}{x^2},x\right)+b \sinh (a) \text{Chi}(b x)+b \cosh (a) \text{Shi}(b x)-\frac{\cosh (a+b x)}{x}",0,"-(Cosh[a + b*x]/x) + b*CoshIntegral[b*x]*Sinh[a] + b*Cosh[a]*SinhIntegral[b*x] + Defer[Int][(Coth[a + b*x]*Csch[a + b*x])/x^2, x]","A",0,0,0,0,-1,"{}"
445,0,0,0,0.4706272,"\int x^m \coth (a+b x) \text{csch}^2(a+b x) \, dx","Int[x^m*Coth[a + b*x]*Csch[a + b*x]^2,x]","\int x^m \coth (a+b x) \text{csch}^2(a+b x) \, dx","\text{Int}\left(x^m \coth (a+b x) \text{csch}^2(a+b x),x\right)",0,"Defer[Int][x^m*Coth[a + b*x]*Csch[a + b*x]^2, x]","A",0,0,0,0,-1,"{}"
446,1,83,0,0.1632327,"\int x^3 \coth (a+b x) \text{csch}^2(a+b x) \, dx","Int[x^3*Coth[a + b*x]*Csch[a + b*x]^2,x]","\frac{3 \text{PolyLog}\left(2,e^{2 (a+b x)}\right)}{2 b^4}-\frac{3 x^2 \coth (a+b x)}{2 b^2}+\frac{3 x \log \left(1-e^{2 (a+b x)}\right)}{b^3}-\frac{x^3 \text{csch}^2(a+b x)}{2 b}-\frac{3 x^2}{2 b^2}","\frac{3 \text{PolyLog}\left(2,e^{2 (a+b x)}\right)}{2 b^4}-\frac{3 x^2 \coth (a+b x)}{2 b^2}+\frac{3 x \log \left(1-e^{2 (a+b x)}\right)}{b^3}-\frac{x^3 \text{csch}^2(a+b x)}{2 b}-\frac{3 x^2}{2 b^2}",1,"(-3*x^2)/(2*b^2) - (3*x^2*Coth[a + b*x])/(2*b^2) - (x^3*Csch[a + b*x]^2)/(2*b) + (3*x*Log[1 - E^(2*(a + b*x))])/b^3 + (3*PolyLog[2, E^(2*(a + b*x))])/(2*b^4)","A",6,6,18,0.3333,1,"{5419, 4184, 3716, 2190, 2279, 2391}"
447,1,42,0,0.0581759,"\int x^2 \coth (a+b x) \text{csch}^2(a+b x) \, dx","Int[x^2*Coth[a + b*x]*Csch[a + b*x]^2,x]","-\frac{x \coth (a+b x)}{b^2}+\frac{\log (\sinh (a+b x))}{b^3}-\frac{x^2 \text{csch}^2(a+b x)}{2 b}","-\frac{x \coth (a+b x)}{b^2}+\frac{\log (\sinh (a+b x))}{b^3}-\frac{x^2 \text{csch}^2(a+b x)}{2 b}",1,"-((x*Coth[a + b*x])/b^2) - (x^2*Csch[a + b*x]^2)/(2*b) + Log[Sinh[a + b*x]]/b^3","A",3,3,18,0.1667,1,"{5419, 4184, 3475}"
448,1,30,0,0.0299658,"\int x \coth (a+b x) \text{csch}^2(a+b x) \, dx","Int[x*Coth[a + b*x]*Csch[a + b*x]^2,x]","-\frac{\coth (a+b x)}{2 b^2}-\frac{x \text{csch}^2(a+b x)}{2 b}","-\frac{\coth (a+b x)}{2 b^2}-\frac{x \text{csch}^2(a+b x)}{2 b}",1,"-Coth[a + b*x]/(2*b^2) - (x*Csch[a + b*x]^2)/(2*b)","A",3,3,16,0.1875,1,"{5419, 3767, 8}"
449,1,15,0,0.0210658,"\int \coth (a+b x) \text{csch}^2(a+b x) \, dx","Int[Coth[a + b*x]*Csch[a + b*x]^2,x]","-\frac{\text{csch}^2(a+b x)}{2 b}","-\frac{\text{csch}^2(a+b x)}{2 b}",1,"-Csch[a + b*x]^2/(2*b)","A",2,2,15,0.1333,1,"{2606, 30}"
450,0,0,0,0.162428,"\int \frac{\coth (a+b x) \text{csch}^2(a+b x)}{x} \, dx","Int[(Coth[a + b*x]*Csch[a + b*x]^2)/x,x]","\int \frac{\coth (a+b x) \text{csch}^2(a+b x)}{x} \, dx","\text{Int}\left(\frac{\coth (a+b x) \text{csch}^2(a+b x)}{x},x\right)",0,"Defer[Int][(Coth[a + b*x]*Csch[a + b*x]^2)/x, x]","A",0,0,0,0,-1,"{}"
451,0,0,0,0.2360774,"\int \frac{\coth (a+b x) \text{csch}^2(a+b x)}{x^2} \, dx","Int[(Coth[a + b*x]*Csch[a + b*x]^2)/x^2,x]","\int \frac{\coth (a+b x) \text{csch}^2(a+b x)}{x^2} \, dx","\text{Int}\left(\frac{\coth (a+b x) \text{csch}^2(a+b x)}{x^2},x\right)",0,"Defer[Int][(Coth[a + b*x]*Csch[a + b*x]^2)/x^2, x]","A",0,0,0,0,-1,"{}"
452,0,0,0,0.0743735,"\int x^m \coth ^2(a+b x) \text{csch}(a+b x) \, dx","Int[x^m*Coth[a + b*x]^2*Csch[a + b*x],x]","\int x^m \coth ^2(a+b x) \text{csch}(a+b x) \, dx","\text{Int}\left(x^m \text{csch}^3(a+b x),x\right)+\text{Int}\left(x^m \text{csch}(a+b x),x\right)",0,"Defer[Int][x^m*Csch[a + b*x], x] + Defer[Int][x^m*Csch[a + b*x]^3, x]","A",0,0,0,0,-1,"{}"
453,1,201,0,0.3597304,"\int x^3 \coth ^2(a+b x) \text{csch}(a+b x) \, dx","Int[x^3*Coth[a + b*x]^2*Csch[a + b*x],x]","-\frac{3 x^2 \text{PolyLog}\left(2,-e^{a+b x}\right)}{2 b^2}+\frac{3 x^2 \text{PolyLog}\left(2,e^{a+b x}\right)}{2 b^2}+\frac{3 x \text{PolyLog}\left(3,-e^{a+b x}\right)}{b^3}-\frac{3 x \text{PolyLog}\left(3,e^{a+b x}\right)}{b^3}-\frac{3 \text{PolyLog}\left(2,-e^{a+b x}\right)}{b^4}+\frac{3 \text{PolyLog}\left(2,e^{a+b x}\right)}{b^4}-\frac{3 \text{PolyLog}\left(4,-e^{a+b x}\right)}{b^4}+\frac{3 \text{PolyLog}\left(4,e^{a+b x}\right)}{b^4}-\frac{3 x^2 \text{csch}(a+b x)}{2 b^2}-\frac{6 x \tanh ^{-1}\left(e^{a+b x}\right)}{b^3}-\frac{x^3 \tanh ^{-1}\left(e^{a+b x}\right)}{b}-\frac{x^3 \coth (a+b x) \text{csch}(a+b x)}{2 b}","-\frac{3 x^2 \text{PolyLog}\left(2,-e^{a+b x}\right)}{2 b^2}+\frac{3 x^2 \text{PolyLog}\left(2,e^{a+b x}\right)}{2 b^2}+\frac{3 x \text{PolyLog}\left(3,-e^{a+b x}\right)}{b^3}-\frac{3 x \text{PolyLog}\left(3,e^{a+b x}\right)}{b^3}-\frac{3 \text{PolyLog}\left(2,-e^{a+b x}\right)}{b^4}+\frac{3 \text{PolyLog}\left(2,e^{a+b x}\right)}{b^4}-\frac{3 \text{PolyLog}\left(4,-e^{a+b x}\right)}{b^4}+\frac{3 \text{PolyLog}\left(4,e^{a+b x}\right)}{b^4}-\frac{3 x^2 \text{csch}(a+b x)}{2 b^2}-\frac{6 x \tanh ^{-1}\left(e^{a+b x}\right)}{b^3}-\frac{x^3 \tanh ^{-1}\left(e^{a+b x}\right)}{b}-\frac{x^3 \coth (a+b x) \text{csch}(a+b x)}{2 b}",1,"(-6*x*ArcTanh[E^(a + b*x)])/b^3 - (x^3*ArcTanh[E^(a + b*x)])/b - (3*x^2*Csch[a + b*x])/(2*b^2) - (x^3*Coth[a + b*x]*Csch[a + b*x])/(2*b) - (3*PolyLog[2, -E^(a + b*x)])/b^4 - (3*x^2*PolyLog[2, -E^(a + b*x)])/(2*b^2) + (3*PolyLog[2, E^(a + b*x)])/b^4 + (3*x^2*PolyLog[2, E^(a + b*x)])/(2*b^2) + (3*x*PolyLog[3, -E^(a + b*x)])/b^3 - (3*x*PolyLog[3, E^(a + b*x)])/b^3 - (3*PolyLog[4, -E^(a + b*x)])/b^4 + (3*PolyLog[4, E^(a + b*x)])/b^4","A",25,9,18,0.5000,1,"{5457, 4182, 2531, 6609, 2282, 6589, 4186, 2279, 2391}"
454,1,123,0,0.2355018,"\int x^2 \coth ^2(a+b x) \text{csch}(a+b x) \, dx","Int[x^2*Coth[a + b*x]^2*Csch[a + b*x],x]","-\frac{x \text{PolyLog}\left(2,-e^{a+b x}\right)}{b^2}+\frac{x \text{PolyLog}\left(2,e^{a+b x}\right)}{b^2}+\frac{\text{PolyLog}\left(3,-e^{a+b x}\right)}{b^3}-\frac{\text{PolyLog}\left(3,e^{a+b x}\right)}{b^3}-\frac{x \text{csch}(a+b x)}{b^2}-\frac{\tanh ^{-1}(\cosh (a+b x))}{b^3}-\frac{x^2 \tanh ^{-1}\left(e^{a+b x}\right)}{b}-\frac{x^2 \coth (a+b x) \text{csch}(a+b x)}{2 b}","-\frac{x \text{PolyLog}\left(2,-e^{a+b x}\right)}{b^2}+\frac{x \text{PolyLog}\left(2,e^{a+b x}\right)}{b^2}+\frac{\text{PolyLog}\left(3,-e^{a+b x}\right)}{b^3}-\frac{\text{PolyLog}\left(3,e^{a+b x}\right)}{b^3}-\frac{x \text{csch}(a+b x)}{b^2}-\frac{\tanh ^{-1}(\cosh (a+b x))}{b^3}-\frac{x^2 \tanh ^{-1}\left(e^{a+b x}\right)}{b}-\frac{x^2 \coth (a+b x) \text{csch}(a+b x)}{2 b}",1,"-((x^2*ArcTanh[E^(a + b*x)])/b) - ArcTanh[Cosh[a + b*x]]/b^3 - (x*Csch[a + b*x])/b^2 - (x^2*Coth[a + b*x]*Csch[a + b*x])/(2*b) - (x*PolyLog[2, -E^(a + b*x)])/b^2 + (x*PolyLog[2, E^(a + b*x)])/b^2 + PolyLog[3, -E^(a + b*x)]/b^3 - PolyLog[3, E^(a + b*x)]/b^3","A",17,7,18,0.3889,1,"{5457, 4182, 2531, 2282, 6589, 4186, 3770}"
455,1,82,0,0.1249721,"\int x \coth ^2(a+b x) \text{csch}(a+b x) \, dx","Int[x*Coth[a + b*x]^2*Csch[a + b*x],x]","-\frac{\text{PolyLog}\left(2,-e^{a+b x}\right)}{2 b^2}+\frac{\text{PolyLog}\left(2,e^{a+b x}\right)}{2 b^2}-\frac{\text{csch}(a+b x)}{2 b^2}-\frac{x \tanh ^{-1}\left(e^{a+b x}\right)}{b}-\frac{x \coth (a+b x) \text{csch}(a+b x)}{2 b}","-\frac{\text{PolyLog}\left(2,-e^{a+b x}\right)}{2 b^2}+\frac{\text{PolyLog}\left(2,e^{a+b x}\right)}{2 b^2}-\frac{\text{csch}(a+b x)}{2 b^2}-\frac{x \tanh ^{-1}\left(e^{a+b x}\right)}{b}-\frac{x \coth (a+b x) \text{csch}(a+b x)}{2 b}",1,"-((x*ArcTanh[E^(a + b*x)])/b) - Csch[a + b*x]/(2*b^2) - (x*Coth[a + b*x]*Csch[a + b*x])/(2*b) - PolyLog[2, -E^(a + b*x)]/(2*b^2) + PolyLog[2, E^(a + b*x)]/(2*b^2)","A",12,5,16,0.3125,1,"{5457, 4182, 2279, 2391, 4185}"
456,1,34,0,0.0331728,"\int \coth ^2(a+b x) \text{csch}(a+b x) \, dx","Int[Coth[a + b*x]^2*Csch[a + b*x],x]","-\frac{\tanh ^{-1}(\cosh (a+b x))}{2 b}-\frac{\coth (a+b x) \text{csch}(a+b x)}{2 b}","-\frac{\tanh ^{-1}(\cosh (a+b x))}{2 b}-\frac{\coth (a+b x) \text{csch}(a+b x)}{2 b}",1,"-ArcTanh[Cosh[a + b*x]]/(2*b) - (Coth[a + b*x]*Csch[a + b*x])/(2*b)","A",2,2,15,0.1333,1,"{2611, 3770}"
457,0,0,0,0.0715894,"\int \frac{\coth ^2(a+b x) \text{csch}(a+b x)}{x} \, dx","Int[(Coth[a + b*x]^2*Csch[a + b*x])/x,x]","\int \frac{\coth ^2(a+b x) \text{csch}(a+b x)}{x} \, dx","\text{Int}\left(\frac{\text{csch}^3(a+b x)}{x},x\right)+\text{Int}\left(\frac{\text{csch}(a+b x)}{x},x\right)",0,"Defer[Int][Csch[a + b*x]/x, x] + Defer[Int][Csch[a + b*x]^3/x, x]","A",0,0,0,0,-1,"{}"
458,0,0,0,0.0755131,"\int \frac{\coth ^2(a+b x) \text{csch}(a+b x)}{x^2} \, dx","Int[(Coth[a + b*x]^2*Csch[a + b*x])/x^2,x]","\int \frac{\coth ^2(a+b x) \text{csch}(a+b x)}{x^2} \, dx","\text{Int}\left(\frac{\text{csch}^3(a+b x)}{x^2},x\right)+\text{Int}\left(\frac{\text{csch}(a+b x)}{x^2},x\right)",0,"Defer[Int][Csch[a + b*x]/x^2, x] + Defer[Int][Csch[a + b*x]^3/x^2, x]","A",0,0,0,0,-1,"{}"
459,0,0,0,0.0300256,"\int x^m \coth ^3(a+b x) \, dx","Int[x^m*Coth[a + b*x]^3,x]","\int x^m \coth ^3(a+b x) \, dx","\text{Int}\left(x^m \coth ^3(a+b x),x\right)",0,"Defer[Int][x^m*Coth[a + b*x]^3, x]","A",0,0,0,0,-1,"{}"
460,1,179,0,0.3366848,"\int x^3 \coth ^3(a+b x) \, dx","Int[x^3*Coth[a + b*x]^3,x]","\frac{3 x^2 \text{PolyLog}\left(2,e^{2 (a+b x)}\right)}{2 b^2}-\frac{3 x \text{PolyLog}\left(3,e^{2 (a+b x)}\right)}{2 b^3}+\frac{3 \text{PolyLog}\left(2,e^{2 (a+b x)}\right)}{2 b^4}+\frac{3 \text{PolyLog}\left(4,e^{2 (a+b x)}\right)}{4 b^4}-\frac{3 x^2 \coth (a+b x)}{2 b^2}+\frac{3 x \log \left(1-e^{2 (a+b x)}\right)}{b^3}+\frac{x^3 \log \left(1-e^{2 (a+b x)}\right)}{b}-\frac{x^3 \coth ^2(a+b x)}{2 b}-\frac{3 x^2}{2 b^2}+\frac{x^3}{2 b}-\frac{x^4}{4}","\frac{3 x^2 \text{PolyLog}\left(2,e^{2 (a+b x)}\right)}{2 b^2}-\frac{3 x \text{PolyLog}\left(3,e^{2 (a+b x)}\right)}{2 b^3}+\frac{3 \text{PolyLog}\left(2,e^{2 (a+b x)}\right)}{2 b^4}+\frac{3 \text{PolyLog}\left(4,e^{2 (a+b x)}\right)}{4 b^4}-\frac{3 x^2 \coth (a+b x)}{2 b^2}+\frac{3 x \log \left(1-e^{2 (a+b x)}\right)}{b^3}+\frac{x^3 \log \left(1-e^{2 (a+b x)}\right)}{b}-\frac{x^3 \coth ^2(a+b x)}{2 b}-\frac{3 x^2}{2 b^2}+\frac{x^3}{2 b}-\frac{x^4}{4}",1,"(-3*x^2)/(2*b^2) + x^3/(2*b) - x^4/4 - (3*x^2*Coth[a + b*x])/(2*b^2) - (x^3*Coth[a + b*x]^2)/(2*b) + (3*x*Log[1 - E^(2*(a + b*x))])/b^3 + (x^3*Log[1 - E^(2*(a + b*x))])/b + (3*PolyLog[2, E^(2*(a + b*x))])/(2*b^4) + (3*x^2*PolyLog[2, E^(2*(a + b*x))])/(2*b^2) - (3*x*PolyLog[3, E^(2*(a + b*x))])/(2*b^3) + (3*PolyLog[4, E^(2*(a + b*x))])/(4*b^4)","A",13,10,12,0.8333,1,"{3720, 3716, 2190, 2279, 2391, 30, 2531, 6609, 2282, 6589}"
461,1,114,0,0.2115032,"\int x^2 \coth ^3(a+b x) \, dx","Int[x^2*Coth[a + b*x]^3,x]","\frac{x \text{PolyLog}\left(2,e^{2 (a+b x)}\right)}{b^2}-\frac{\text{PolyLog}\left(3,e^{2 (a+b x)}\right)}{2 b^3}-\frac{x \coth (a+b x)}{b^2}+\frac{\log (\sinh (a+b x))}{b^3}+\frac{x^2 \log \left(1-e^{2 (a+b x)}\right)}{b}-\frac{x^2 \coth ^2(a+b x)}{2 b}+\frac{x^2}{2 b}-\frac{x^3}{3}","\frac{x \text{PolyLog}\left(2,e^{2 (a+b x)}\right)}{b^2}-\frac{\text{PolyLog}\left(3,e^{2 (a+b x)}\right)}{2 b^3}-\frac{x \coth (a+b x)}{b^2}+\frac{\log (\sinh (a+b x))}{b^3}+\frac{x^2 \log \left(1-e^{2 (a+b x)}\right)}{b}-\frac{x^2 \coth ^2(a+b x)}{2 b}+\frac{x^2}{2 b}-\frac{x^3}{3}",1,"x^2/(2*b) - x^3/3 - (x*Coth[a + b*x])/b^2 - (x^2*Coth[a + b*x]^2)/(2*b) + (x^2*Log[1 - E^(2*(a + b*x))])/b + Log[Sinh[a + b*x]]/b^3 + (x*PolyLog[2, E^(2*(a + b*x))])/b^2 - PolyLog[3, E^(2*(a + b*x))]/(2*b^3)","A",9,8,12,0.6667,1,"{3720, 3475, 30, 3716, 2190, 2531, 2282, 6589}"
462,1,82,0,0.1224595,"\int x \coth ^3(a+b x) \, dx","Int[x*Coth[a + b*x]^3,x]","\frac{\text{PolyLog}\left(2,e^{2 (a+b x)}\right)}{2 b^2}-\frac{\coth (a+b x)}{2 b^2}+\frac{x \log \left(1-e^{2 (a+b x)}\right)}{b}-\frac{x \coth ^2(a+b x)}{2 b}+\frac{x}{2 b}-\frac{x^2}{2}","\frac{\text{PolyLog}\left(2,e^{2 (a+b x)}\right)}{2 b^2}-\frac{\coth (a+b x)}{2 b^2}+\frac{x \log \left(1-e^{2 (a+b x)}\right)}{b}-\frac{x \coth ^2(a+b x)}{2 b}+\frac{x}{2 b}-\frac{x^2}{2}",1,"x/(2*b) - x^2/2 - Coth[a + b*x]/(2*b^2) - (x*Coth[a + b*x]^2)/(2*b) + (x*Log[1 - E^(2*(a + b*x))])/b + PolyLog[2, E^(2*(a + b*x))]/(2*b^2)","A",7,7,10,0.7000,1,"{3720, 3473, 8, 3716, 2190, 2279, 2391}"
463,1,27,0,0.0183687,"\int \coth ^3(a+b x) \, dx","Int[Coth[a + b*x]^3,x]","\frac{\log (\sinh (a+b x))}{b}-\frac{\coth ^2(a+b x)}{2 b}","\frac{\log (\sinh (a+b x))}{b}-\frac{\coth ^2(a+b x)}{2 b}",1,"-Coth[a + b*x]^2/(2*b) + Log[Sinh[a + b*x]]/b","A",2,2,8,0.2500,1,"{3473, 3475}"
464,0,0,0,0.0291413,"\int \frac{\coth ^3(a+b x)}{x} \, dx","Int[Coth[a + b*x]^3/x,x]","\int \frac{\coth ^3(a+b x)}{x} \, dx","\text{Int}\left(\frac{\coth ^3(a+b x)}{x},x\right)",0,"Defer[Int][Coth[a + b*x]^3/x, x]","A",0,0,0,0,-1,"{}"
465,0,0,0,0.0307226,"\int \frac{\coth ^3(a+b x)}{x^2} \, dx","Int[Coth[a + b*x]^3/x^2,x]","\int \frac{\coth ^3(a+b x)}{x^2} \, dx","\text{Int}\left(\frac{\coth ^3(a+b x)}{x^2},x\right)",0,"Defer[Int][Coth[a + b*x]^3/x^2, x]","A",0,0,0,0,-1,"{}"
466,0,0,0,0.2123191,"\int x^m \text{csch}(a+b x) \text{sech}(a+b x) \, dx","Int[x^m*Csch[a + b*x]*Sech[a + b*x],x]","\int x^m \text{csch}(a+b x) \text{sech}(a+b x) \, dx","\text{Int}\left(x^m \text{csch}(a+b x) \text{sech}(a+b x),x\right)",0,"Defer[Int][x^m*Csch[a + b*x]*Sech[a + b*x], x]","A",0,0,0,0,-1,"{}"
467,1,148,0,0.1499402,"\int x^3 \text{csch}(a+b x) \text{sech}(a+b x) \, dx","Int[x^3*Csch[a + b*x]*Sech[a + b*x],x]","-\frac{3 x^2 \text{PolyLog}\left(2,-e^{2 a+2 b x}\right)}{2 b^2}+\frac{3 x^2 \text{PolyLog}\left(2,e^{2 a+2 b x}\right)}{2 b^2}+\frac{3 x \text{PolyLog}\left(3,-e^{2 a+2 b x}\right)}{2 b^3}-\frac{3 x \text{PolyLog}\left(3,e^{2 a+2 b x}\right)}{2 b^3}-\frac{3 \text{PolyLog}\left(4,-e^{2 a+2 b x}\right)}{4 b^4}+\frac{3 \text{PolyLog}\left(4,e^{2 a+2 b x}\right)}{4 b^4}-\frac{2 x^3 \tanh ^{-1}\left(e^{2 a+2 b x}\right)}{b}","-\frac{3 x^2 \text{PolyLog}\left(2,-e^{2 a+2 b x}\right)}{2 b^2}+\frac{3 x^2 \text{PolyLog}\left(2,e^{2 a+2 b x}\right)}{2 b^2}+\frac{3 x \text{PolyLog}\left(3,-e^{2 a+2 b x}\right)}{2 b^3}-\frac{3 x \text{PolyLog}\left(3,e^{2 a+2 b x}\right)}{2 b^3}-\frac{3 \text{PolyLog}\left(4,-e^{2 a+2 b x}\right)}{4 b^4}+\frac{3 \text{PolyLog}\left(4,e^{2 a+2 b x}\right)}{4 b^4}-\frac{2 x^3 \tanh ^{-1}\left(e^{2 a+2 b x}\right)}{b}",1,"(-2*x^3*ArcTanh[E^(2*a + 2*b*x)])/b - (3*x^2*PolyLog[2, -E^(2*a + 2*b*x)])/(2*b^2) + (3*x^2*PolyLog[2, E^(2*a + 2*b*x)])/(2*b^2) + (3*x*PolyLog[3, -E^(2*a + 2*b*x)])/(2*b^3) - (3*x*PolyLog[3, E^(2*a + 2*b*x)])/(2*b^3) - (3*PolyLog[4, -E^(2*a + 2*b*x)])/(4*b^4) + (3*PolyLog[4, E^(2*a + 2*b*x)])/(4*b^4)","A",10,6,16,0.3750,1,"{5461, 4182, 2531, 6609, 2282, 6589}"
468,1,97,0,0.1056255,"\int x^2 \text{csch}(a+b x) \text{sech}(a+b x) \, dx","Int[x^2*Csch[a + b*x]*Sech[a + b*x],x]","-\frac{x \text{PolyLog}\left(2,-e^{2 a+2 b x}\right)}{b^2}+\frac{x \text{PolyLog}\left(2,e^{2 a+2 b x}\right)}{b^2}+\frac{\text{PolyLog}\left(3,-e^{2 a+2 b x}\right)}{2 b^3}-\frac{\text{PolyLog}\left(3,e^{2 a+2 b x}\right)}{2 b^3}-\frac{2 x^2 \tanh ^{-1}\left(e^{2 a+2 b x}\right)}{b}","-\frac{x \text{PolyLog}\left(2,-e^{2 a+2 b x}\right)}{b^2}+\frac{x \text{PolyLog}\left(2,e^{2 a+2 b x}\right)}{b^2}+\frac{\text{PolyLog}\left(3,-e^{2 a+2 b x}\right)}{2 b^3}-\frac{\text{PolyLog}\left(3,e^{2 a+2 b x}\right)}{2 b^3}-\frac{2 x^2 \tanh ^{-1}\left(e^{2 a+2 b x}\right)}{b}",1,"(-2*x^2*ArcTanh[E^(2*a + 2*b*x)])/b - (x*PolyLog[2, -E^(2*a + 2*b*x)])/b^2 + (x*PolyLog[2, E^(2*a + 2*b*x)])/b^2 + PolyLog[3, -E^(2*a + 2*b*x)]/(2*b^3) - PolyLog[3, E^(2*a + 2*b*x)]/(2*b^3)","A",8,5,16,0.3125,1,"{5461, 4182, 2531, 2282, 6589}"
469,1,58,0,0.0557309,"\int x \text{csch}(a+b x) \text{sech}(a+b x) \, dx","Int[x*Csch[a + b*x]*Sech[a + b*x],x]","-\frac{\text{PolyLog}\left(2,-e^{2 a+2 b x}\right)}{2 b^2}+\frac{\text{PolyLog}\left(2,e^{2 a+2 b x}\right)}{2 b^2}-\frac{2 x \tanh ^{-1}\left(e^{2 a+2 b x}\right)}{b}","-\frac{\text{PolyLog}\left(2,-e^{2 a+2 b x}\right)}{2 b^2}+\frac{\text{PolyLog}\left(2,e^{2 a+2 b x}\right)}{2 b^2}-\frac{2 x \tanh ^{-1}\left(e^{2 a+2 b x}\right)}{b}",1,"(-2*x*ArcTanh[E^(2*a + 2*b*x)])/b - PolyLog[2, -E^(2*a + 2*b*x)]/(2*b^2) + PolyLog[2, E^(2*a + 2*b*x)]/(2*b^2)","A",6,4,14,0.2857,1,"{5461, 4182, 2279, 2391}"
470,1,11,0,0.0134658,"\int \text{csch}(a+b x) \text{sech}(a+b x) \, dx","Int[Csch[a + b*x]*Sech[a + b*x],x]","\frac{\log (\tanh (a+b x))}{b}","\frac{\log (\tanh (a+b x))}{b}",1,"Log[Tanh[a + b*x]]/b","A",2,2,13,0.1538,1,"{2620, 29}"
471,0,0,0,0.0345511,"\int \frac{\text{csch}(a+b x) \text{sech}(a+b x)}{x} \, dx","Int[(Csch[a + b*x]*Sech[a + b*x])/x,x]","\int \frac{\text{csch}(a+b x) \text{sech}(a+b x)}{x} \, dx","2 \text{Int}\left(\frac{\text{csch}(2 a+2 b x)}{x},x\right)",0,"2*Defer[Int][Csch[2*a + 2*b*x]/x, x]","A",0,0,0,0,-1,"{}"
472,0,0,0,0.0372738,"\int \frac{\text{csch}(a+b x) \text{sech}(a+b x)}{x^2} \, dx","Int[(Csch[a + b*x]*Sech[a + b*x])/x^2,x]","\int \frac{\text{csch}(a+b x) \text{sech}(a+b x)}{x^2} \, dx","2 \text{Int}\left(\frac{\text{csch}(2 a+2 b x)}{x^2},x\right)",0,"2*Defer[Int][Csch[2*a + 2*b*x]/x^2, x]","A",0,0,0,0,-1,"{}"
473,0,0,0,0.3914522,"\int x^m \text{csch}(a+b x) \text{sech}^2(a+b x) \, dx","Int[x^m*Csch[a + b*x]*Sech[a + b*x]^2,x]","\int x^m \text{csch}(a+b x) \text{sech}^2(a+b x) \, dx","\text{Int}\left(x^m \text{csch}(a+b x) \text{sech}^2(a+b x),x\right)",0,"Defer[Int][x^m*Csch[a + b*x]*Sech[a + b*x]^2, x]","A",0,0,0,0,-1,"{}"
474,1,226,0,0.3371476,"\int x^3 \text{csch}(a+b x) \text{sech}^2(a+b x) \, dx","Int[x^3*Csch[a + b*x]*Sech[a + b*x]^2,x]","-\frac{3 x^2 \text{PolyLog}\left(2,-e^{a+b x}\right)}{b^2}+\frac{3 x^2 \text{PolyLog}\left(2,e^{a+b x}\right)}{b^2}+\frac{6 i x \text{PolyLog}\left(2,-i e^{a+b x}\right)}{b^3}-\frac{6 i x \text{PolyLog}\left(2,i e^{a+b x}\right)}{b^3}+\frac{6 x \text{PolyLog}\left(3,-e^{a+b x}\right)}{b^3}-\frac{6 x \text{PolyLog}\left(3,e^{a+b x}\right)}{b^3}-\frac{6 i \text{PolyLog}\left(3,-i e^{a+b x}\right)}{b^4}+\frac{6 i \text{PolyLog}\left(3,i e^{a+b x}\right)}{b^4}-\frac{6 \text{PolyLog}\left(4,-e^{a+b x}\right)}{b^4}+\frac{6 \text{PolyLog}\left(4,e^{a+b x}\right)}{b^4}-\frac{6 x^2 \tan ^{-1}\left(e^{a+b x}\right)}{b^2}-\frac{2 x^3 \tanh ^{-1}\left(e^{a+b x}\right)}{b}+\frac{x^3 \text{sech}(a+b x)}{b}","-\frac{3 x^2 \text{PolyLog}\left(2,-e^{a+b x}\right)}{b^2}+\frac{3 x^2 \text{PolyLog}\left(2,e^{a+b x}\right)}{b^2}+\frac{6 i x \text{PolyLog}\left(2,-i e^{a+b x}\right)}{b^3}-\frac{6 i x \text{PolyLog}\left(2,i e^{a+b x}\right)}{b^3}+\frac{6 x \text{PolyLog}\left(3,-e^{a+b x}\right)}{b^3}-\frac{6 x \text{PolyLog}\left(3,e^{a+b x}\right)}{b^3}-\frac{6 i \text{PolyLog}\left(3,-i e^{a+b x}\right)}{b^4}+\frac{6 i \text{PolyLog}\left(3,i e^{a+b x}\right)}{b^4}-\frac{6 \text{PolyLog}\left(4,-e^{a+b x}\right)}{b^4}+\frac{6 \text{PolyLog}\left(4,e^{a+b x}\right)}{b^4}-\frac{6 x^2 \tan ^{-1}\left(e^{a+b x}\right)}{b^2}-\frac{2 x^3 \tanh ^{-1}\left(e^{a+b x}\right)}{b}+\frac{x^3 \text{sech}(a+b x)}{b}",1,"(-6*x^2*ArcTan[E^(a + b*x)])/b^2 - (2*x^3*ArcTanh[E^(a + b*x)])/b - (3*x^2*PolyLog[2, -E^(a + b*x)])/b^2 + ((6*I)*x*PolyLog[2, (-I)*E^(a + b*x)])/b^3 - ((6*I)*x*PolyLog[2, I*E^(a + b*x)])/b^3 + (3*x^2*PolyLog[2, E^(a + b*x)])/b^2 + (6*x*PolyLog[3, -E^(a + b*x)])/b^3 - ((6*I)*PolyLog[3, (-I)*E^(a + b*x)])/b^4 + ((6*I)*PolyLog[3, I*E^(a + b*x)])/b^4 - (6*x*PolyLog[3, E^(a + b*x)])/b^3 - (6*PolyLog[4, -E^(a + b*x)])/b^4 + (6*PolyLog[4, E^(a + b*x)])/b^4 + (x^3*Sech[a + b*x])/b","A",21,13,18,0.7222,1,"{2622, 321, 207, 5462, 14, 6273, 12, 4182, 2531, 6609, 2282, 6589, 4180}"
475,1,146,0,0.2270855,"\int x^2 \text{csch}(a+b x) \text{sech}^2(a+b x) \, dx","Int[x^2*Csch[a + b*x]*Sech[a + b*x]^2,x]","-\frac{2 x \text{PolyLog}\left(2,-e^{a+b x}\right)}{b^2}+\frac{2 x \text{PolyLog}\left(2,e^{a+b x}\right)}{b^2}+\frac{2 i \text{PolyLog}\left(2,-i e^{a+b x}\right)}{b^3}-\frac{2 i \text{PolyLog}\left(2,i e^{a+b x}\right)}{b^3}+\frac{2 \text{PolyLog}\left(3,-e^{a+b x}\right)}{b^3}-\frac{2 \text{PolyLog}\left(3,e^{a+b x}\right)}{b^3}-\frac{4 x \tan ^{-1}\left(e^{a+b x}\right)}{b^2}-\frac{2 x^2 \tanh ^{-1}\left(e^{a+b x}\right)}{b}+\frac{x^2 \text{sech}(a+b x)}{b}","-\frac{2 x \text{PolyLog}\left(2,-e^{a+b x}\right)}{b^2}+\frac{2 x \text{PolyLog}\left(2,e^{a+b x}\right)}{b^2}+\frac{2 i \text{PolyLog}\left(2,-i e^{a+b x}\right)}{b^3}-\frac{2 i \text{PolyLog}\left(2,i e^{a+b x}\right)}{b^3}+\frac{2 \text{PolyLog}\left(3,-e^{a+b x}\right)}{b^3}-\frac{2 \text{PolyLog}\left(3,e^{a+b x}\right)}{b^3}-\frac{4 x \tan ^{-1}\left(e^{a+b x}\right)}{b^2}-\frac{2 x^2 \tanh ^{-1}\left(e^{a+b x}\right)}{b}+\frac{x^2 \text{sech}(a+b x)}{b}",1,"(-4*x*ArcTan[E^(a + b*x)])/b^2 - (2*x^2*ArcTanh[E^(a + b*x)])/b - (2*x*PolyLog[2, -E^(a + b*x)])/b^2 + ((2*I)*PolyLog[2, (-I)*E^(a + b*x)])/b^3 - ((2*I)*PolyLog[2, I*E^(a + b*x)])/b^3 + (2*x*PolyLog[2, E^(a + b*x)])/b^2 + (2*PolyLog[3, -E^(a + b*x)])/b^3 - (2*PolyLog[3, E^(a + b*x)])/b^3 + (x^2*Sech[a + b*x])/b","A",17,14,18,0.7778,1,"{2622, 321, 207, 5462, 14, 6273, 12, 4182, 2531, 2282, 6589, 4180, 2279, 2391}"
476,1,67,0,0.1144128,"\int x \text{csch}(a+b x) \text{sech}^2(a+b x) \, dx","Int[x*Csch[a + b*x]*Sech[a + b*x]^2,x]","-\frac{\text{PolyLog}\left(2,-e^{a+b x}\right)}{b^2}+\frac{\text{PolyLog}\left(2,e^{a+b x}\right)}{b^2}-\frac{\tan ^{-1}(\sinh (a+b x))}{b^2}-\frac{2 x \tanh ^{-1}\left(e^{a+b x}\right)}{b}+\frac{x \text{sech}(a+b x)}{b}","-\frac{\text{PolyLog}\left(2,-e^{a+b x}\right)}{b^2}+\frac{\text{PolyLog}\left(2,e^{a+b x}\right)}{b^2}-\frac{\tan ^{-1}(\sinh (a+b x))}{b^2}-\frac{2 x \tanh ^{-1}\left(e^{a+b x}\right)}{b}+\frac{x \text{sech}(a+b x)}{b}",1,"-(ArcTan[Sinh[a + b*x]]/b^2) - (2*x*ArcTanh[E^(a + b*x)])/b - PolyLog[2, -E^(a + b*x)]/b^2 + PolyLog[2, E^(a + b*x)]/b^2 + (x*Sech[a + b*x])/b","A",10,10,16,0.6250,1,"{2622, 321, 207, 5462, 6271, 12, 4182, 2279, 2391, 3770}"
477,1,23,0,0.0264866,"\int \text{csch}(a+b x) \text{sech}^2(a+b x) \, dx","Int[Csch[a + b*x]*Sech[a + b*x]^2,x]","\frac{\text{sech}(a+b x)}{b}-\frac{\tanh ^{-1}(\cosh (a+b x))}{b}","\frac{\text{sech}(a+b x)}{b}-\frac{\tanh ^{-1}(\cosh (a+b x))}{b}",1,"-(ArcTanh[Cosh[a + b*x]]/b) + Sech[a + b*x]/b","A",3,3,15,0.2000,1,"{2622, 321, 207}"
478,0,0,0,0.2135994,"\int \frac{\text{csch}(a+b x) \text{sech}^2(a+b x)}{x} \, dx","Int[(Csch[a + b*x]*Sech[a + b*x]^2)/x,x]","\int \frac{\text{csch}(a+b x) \text{sech}^2(a+b x)}{x} \, dx","\text{Int}\left(\frac{\text{csch}(a+b x) \text{sech}^2(a+b x)}{x},x\right)",0,"Defer[Int][(Csch[a + b*x]*Sech[a + b*x]^2)/x, x]","A",0,0,0,0,-1,"{}"
479,0,0,0,0.2541919,"\int \frac{\text{csch}(a+b x) \text{sech}^2(a+b x)}{x^2} \, dx","Int[(Csch[a + b*x]*Sech[a + b*x]^2)/x^2,x]","\int \frac{\text{csch}(a+b x) \text{sech}^2(a+b x)}{x^2} \, dx","\text{Int}\left(\frac{\text{csch}(a+b x) \text{sech}^2(a+b x)}{x^2},x\right)",0,"Defer[Int][(Csch[a + b*x]*Sech[a + b*x]^2)/x^2, x]","A",0,0,0,0,-1,"{}"
480,0,0,0,0.4750685,"\int x^m \text{csch}(a+b x) \text{sech}^3(a+b x) \, dx","Int[x^m*Csch[a + b*x]*Sech[a + b*x]^3,x]","\int x^m \text{csch}(a+b x) \text{sech}^3(a+b x) \, dx","\text{Int}\left(x^m \text{csch}(a+b x) \text{sech}^3(a+b x),x\right)",0,"Defer[Int][x^m*Csch[a + b*x]*Sech[a + b*x]^3, x]","A",0,0,0,0,-1,"{}"
481,1,240,0,0.4312398,"\int x^3 \text{csch}(a+b x) \text{sech}^3(a+b x) \, dx","Int[x^3*Csch[a + b*x]*Sech[a + b*x]^3,x]","-\frac{3 x^2 \text{PolyLog}\left(2,-e^{2 a+2 b x}\right)}{2 b^2}+\frac{3 x^2 \text{PolyLog}\left(2,e^{2 a+2 b x}\right)}{2 b^2}+\frac{3 x \text{PolyLog}\left(3,-e^{2 a+2 b x}\right)}{2 b^3}-\frac{3 x \text{PolyLog}\left(3,e^{2 a+2 b x}\right)}{2 b^3}+\frac{3 \text{PolyLog}\left(2,-e^{2 (a+b x)}\right)}{2 b^4}-\frac{3 \text{PolyLog}\left(4,-e^{2 a+2 b x}\right)}{4 b^4}+\frac{3 \text{PolyLog}\left(4,e^{2 a+2 b x}\right)}{4 b^4}-\frac{3 x^2 \tanh (a+b x)}{2 b^2}+\frac{3 x \log \left(e^{2 (a+b x)}+1\right)}{b^3}-\frac{x^3 \tanh ^2(a+b x)}{2 b}-\frac{2 x^3 \tanh ^{-1}\left(e^{2 a+2 b x}\right)}{b}-\frac{3 x^2}{2 b^2}+\frac{x^3}{2 b}","-\frac{3 x^2 \text{PolyLog}\left(2,-e^{2 a+2 b x}\right)}{2 b^2}+\frac{3 x^2 \text{PolyLog}\left(2,e^{2 a+2 b x}\right)}{2 b^2}+\frac{3 x \text{PolyLog}\left(3,-e^{2 a+2 b x}\right)}{2 b^3}-\frac{3 x \text{PolyLog}\left(3,e^{2 a+2 b x}\right)}{2 b^3}+\frac{3 \text{PolyLog}\left(2,-e^{2 (a+b x)}\right)}{2 b^4}-\frac{3 \text{PolyLog}\left(4,-e^{2 a+2 b x}\right)}{4 b^4}+\frac{3 \text{PolyLog}\left(4,e^{2 a+2 b x}\right)}{4 b^4}-\frac{3 x^2 \tanh (a+b x)}{2 b^2}+\frac{3 x \log \left(e^{2 (a+b x)}+1\right)}{b^3}-\frac{x^3 \tanh ^2(a+b x)}{2 b}-\frac{2 x^3 \tanh ^{-1}\left(e^{2 a+2 b x}\right)}{b}-\frac{3 x^2}{2 b^2}+\frac{x^3}{2 b}",1,"(-3*x^2)/(2*b^2) + x^3/(2*b) - (2*x^3*ArcTanh[E^(2*a + 2*b*x)])/b + (3*x*Log[1 + E^(2*(a + b*x))])/b^3 + (3*PolyLog[2, -E^(2*(a + b*x))])/(2*b^4) - (3*x^2*PolyLog[2, -E^(2*a + 2*b*x)])/(2*b^2) + (3*x^2*PolyLog[2, E^(2*a + 2*b*x)])/(2*b^2) + (3*x*PolyLog[3, -E^(2*a + 2*b*x)])/(2*b^3) - (3*x*PolyLog[3, E^(2*a + 2*b*x)])/(2*b^3) - (3*PolyLog[4, -E^(2*a + 2*b*x)])/(4*b^4) + (3*PolyLog[4, E^(2*a + 2*b*x)])/(4*b^4) - (3*x^2*Tanh[a + b*x])/(2*b^2) - (x^3*Tanh[a + b*x]^2)/(2*b)","A",20,16,18,0.8889,1,"{2620, 14, 5462, 2551, 12, 4182, 2531, 6609, 2282, 6589, 3720, 3718, 2190, 2279, 2391, 30}"
482,1,148,0,0.2508634,"\int x^2 \text{csch}(a+b x) \text{sech}^3(a+b x) \, dx","Int[x^2*Csch[a + b*x]*Sech[a + b*x]^3,x]","-\frac{x \text{PolyLog}\left(2,-e^{2 a+2 b x}\right)}{b^2}+\frac{x \text{PolyLog}\left(2,e^{2 a+2 b x}\right)}{b^2}+\frac{\text{PolyLog}\left(3,-e^{2 a+2 b x}\right)}{2 b^3}-\frac{\text{PolyLog}\left(3,e^{2 a+2 b x}\right)}{2 b^3}-\frac{x \tanh (a+b x)}{b^2}+\frac{\log (\cosh (a+b x))}{b^3}-\frac{x^2 \tanh ^2(a+b x)}{2 b}-\frac{2 x^2 \tanh ^{-1}\left(e^{2 a+2 b x}\right)}{b}+\frac{x^2}{2 b}","-\frac{x \text{PolyLog}\left(2,-e^{2 a+2 b x}\right)}{b^2}+\frac{x \text{PolyLog}\left(2,e^{2 a+2 b x}\right)}{b^2}+\frac{\text{PolyLog}\left(3,-e^{2 a+2 b x}\right)}{2 b^3}-\frac{\text{PolyLog}\left(3,e^{2 a+2 b x}\right)}{2 b^3}-\frac{x \tanh (a+b x)}{b^2}+\frac{\log (\cosh (a+b x))}{b^3}-\frac{x^2 \tanh ^2(a+b x)}{2 b}-\frac{2 x^2 \tanh ^{-1}\left(e^{2 a+2 b x}\right)}{b}+\frac{x^2}{2 b}",1,"x^2/(2*b) - (2*x^2*ArcTanh[E^(2*a + 2*b*x)])/b + Log[Cosh[a + b*x]]/b^3 - (x*PolyLog[2, -E^(2*a + 2*b*x)])/b^2 + (x*PolyLog[2, E^(2*a + 2*b*x)])/b^2 + PolyLog[3, -E^(2*a + 2*b*x)]/(2*b^3) - PolyLog[3, E^(2*a + 2*b*x)]/(2*b^3) - (x*Tanh[a + b*x])/b^2 - (x^2*Tanh[a + b*x]^2)/(2*b)","A",15,12,18,0.6667,1,"{2620, 14, 5462, 2551, 12, 4182, 2531, 2282, 6589, 3720, 3475, 30}"
483,1,95,0,0.1196302,"\int x \text{csch}(a+b x) \text{sech}^3(a+b x) \, dx","Int[x*Csch[a + b*x]*Sech[a + b*x]^3,x]","-\frac{\text{PolyLog}\left(2,-e^{2 a+2 b x}\right)}{2 b^2}+\frac{\text{PolyLog}\left(2,e^{2 a+2 b x}\right)}{2 b^2}-\frac{\tanh (a+b x)}{2 b^2}-\frac{x \tanh ^2(a+b x)}{2 b}-\frac{2 x \tanh ^{-1}\left(e^{2 a+2 b x}\right)}{b}+\frac{x}{2 b}","-\frac{\text{PolyLog}\left(2,-e^{2 a+2 b x}\right)}{2 b^2}+\frac{\text{PolyLog}\left(2,e^{2 a+2 b x}\right)}{2 b^2}-\frac{\tanh (a+b x)}{2 b^2}-\frac{x \tanh ^2(a+b x)}{2 b}-\frac{2 x \tanh ^{-1}\left(e^{2 a+2 b x}\right)}{b}+\frac{x}{2 b}",1,"x/(2*b) - (2*x*ArcTanh[E^(2*a + 2*b*x)])/b - PolyLog[2, -E^(2*a + 2*b*x)]/(2*b^2) + PolyLog[2, E^(2*a + 2*b*x)]/(2*b^2) - Tanh[a + b*x]/(2*b^2) - (x*Tanh[a + b*x]^2)/(2*b)","A",11,10,16,0.6250,1,"{2620, 14, 5462, 2548, 12, 4182, 2279, 2391, 3473, 8}"
484,1,27,0,0.0261388,"\int \text{csch}(a+b x) \text{sech}^3(a+b x) \, dx","Int[Csch[a + b*x]*Sech[a + b*x]^3,x]","\frac{\log (\tanh (a+b x))}{b}-\frac{\tanh ^2(a+b x)}{2 b}","\frac{\log (\tanh (a+b x))}{b}-\frac{\tanh ^2(a+b x)}{2 b}",1,"Log[Tanh[a + b*x]]/b - Tanh[a + b*x]^2/(2*b)","A",3,2,15,0.1333,1,"{2620, 14}"
485,0,0,0,0.2138033,"\int \frac{\text{csch}(a+b x) \text{sech}^3(a+b x)}{x} \, dx","Int[(Csch[a + b*x]*Sech[a + b*x]^3)/x,x]","\int \frac{\text{csch}(a+b x) \text{sech}^3(a+b x)}{x} \, dx","\text{Int}\left(\frac{\text{csch}(a+b x) \text{sech}^3(a+b x)}{x},x\right)",0,"Defer[Int][(Csch[a + b*x]*Sech[a + b*x]^3)/x, x]","A",0,0,0,0,-1,"{}"
486,0,0,0,0.2543418,"\int \frac{\text{csch}(a+b x) \text{sech}^3(a+b x)}{x^2} \, dx","Int[(Csch[a + b*x]*Sech[a + b*x]^3)/x^2,x]","\int \frac{\text{csch}(a+b x) \text{sech}^3(a+b x)}{x^2} \, dx","\text{Int}\left(\frac{\text{csch}(a+b x) \text{sech}^3(a+b x)}{x^2},x\right)",0,"Defer[Int][(Csch[a + b*x]*Sech[a + b*x]^3)/x^2, x]","A",0,0,0,0,-1,"{}"
487,0,0,0,0.3994376,"\int x^m \text{csch}^2(a+b x) \text{sech}(a+b x) \, dx","Int[x^m*Csch[a + b*x]^2*Sech[a + b*x],x]","\int x^m \text{csch}^2(a+b x) \text{sech}(a+b x) \, dx","\text{Int}\left(x^m \text{csch}^2(a+b x) \text{sech}(a+b x),x\right)",0,"Defer[Int][x^m*Csch[a + b*x]^2*Sech[a + b*x], x]","A",0,0,0,0,-1,"{}"
488,1,237,0,0.3439653,"\int x^3 \text{csch}^2(a+b x) \text{sech}(a+b x) \, dx","Int[x^3*Csch[a + b*x]^2*Sech[a + b*x],x]","\frac{3 i x^2 \text{PolyLog}\left(2,-i e^{a+b x}\right)}{b^2}-\frac{3 i x^2 \text{PolyLog}\left(2,i e^{a+b x}\right)}{b^2}-\frac{6 x \text{PolyLog}\left(2,-e^{a+b x}\right)}{b^3}+\frac{6 x \text{PolyLog}\left(2,e^{a+b x}\right)}{b^3}-\frac{6 i x \text{PolyLog}\left(3,-i e^{a+b x}\right)}{b^3}+\frac{6 i x \text{PolyLog}\left(3,i e^{a+b x}\right)}{b^3}+\frac{6 \text{PolyLog}\left(3,-e^{a+b x}\right)}{b^4}-\frac{6 \text{PolyLog}\left(3,e^{a+b x}\right)}{b^4}+\frac{6 i \text{PolyLog}\left(4,-i e^{a+b x}\right)}{b^4}-\frac{6 i \text{PolyLog}\left(4,i e^{a+b x}\right)}{b^4}-\frac{6 x^2 \tanh ^{-1}\left(e^{a+b x}\right)}{b^2}-\frac{2 x^3 \tan ^{-1}\left(e^{a+b x}\right)}{b}-\frac{x^3 \text{csch}(a+b x)}{b}","\frac{3 i x^2 \text{PolyLog}\left(2,-i e^{a+b x}\right)}{b^2}-\frac{3 i x^2 \text{PolyLog}\left(2,i e^{a+b x}\right)}{b^2}-\frac{6 x \text{PolyLog}\left(2,-e^{a+b x}\right)}{b^3}+\frac{6 x \text{PolyLog}\left(2,e^{a+b x}\right)}{b^3}-\frac{6 i x \text{PolyLog}\left(3,-i e^{a+b x}\right)}{b^3}+\frac{6 i x \text{PolyLog}\left(3,i e^{a+b x}\right)}{b^3}+\frac{6 \text{PolyLog}\left(3,-e^{a+b x}\right)}{b^4}-\frac{6 \text{PolyLog}\left(3,e^{a+b x}\right)}{b^4}+\frac{6 i \text{PolyLog}\left(4,-i e^{a+b x}\right)}{b^4}-\frac{6 i \text{PolyLog}\left(4,i e^{a+b x}\right)}{b^4}-\frac{6 x^2 \tanh ^{-1}\left(e^{a+b x}\right)}{b^2}-\frac{2 x^3 \tan ^{-1}\left(e^{a+b x}\right)}{b}-\frac{x^3 \text{csch}(a+b x)}{b}",1,"(-2*x^3*ArcTan[E^(a + b*x)])/b - (6*x^2*ArcTanh[E^(a + b*x)])/b^2 - (x^3*Csch[a + b*x])/b - (6*x*PolyLog[2, -E^(a + b*x)])/b^3 + ((3*I)*x^2*PolyLog[2, (-I)*E^(a + b*x)])/b^2 - ((3*I)*x^2*PolyLog[2, I*E^(a + b*x)])/b^2 + (6*x*PolyLog[2, E^(a + b*x)])/b^3 + (6*PolyLog[3, -E^(a + b*x)])/b^4 - ((6*I)*x*PolyLog[3, (-I)*E^(a + b*x)])/b^3 + ((6*I)*x*PolyLog[3, I*E^(a + b*x)])/b^3 - (6*PolyLog[3, E^(a + b*x)])/b^4 + ((6*I)*PolyLog[4, (-I)*E^(a + b*x)])/b^4 - ((6*I)*PolyLog[4, I*E^(a + b*x)])/b^4","A",21,13,18,0.7222,1,"{2621, 321, 207, 5462, 14, 5205, 12, 4180, 2531, 6609, 2282, 6589, 4182}"
489,1,157,0,0.2339216,"\int x^2 \text{csch}^2(a+b x) \text{sech}(a+b x) \, dx","Int[x^2*Csch[a + b*x]^2*Sech[a + b*x],x]","\frac{2 i x \text{PolyLog}\left(2,-i e^{a+b x}\right)}{b^2}-\frac{2 i x \text{PolyLog}\left(2,i e^{a+b x}\right)}{b^2}-\frac{2 \text{PolyLog}\left(2,-e^{a+b x}\right)}{b^3}+\frac{2 \text{PolyLog}\left(2,e^{a+b x}\right)}{b^3}-\frac{2 i \text{PolyLog}\left(3,-i e^{a+b x}\right)}{b^3}+\frac{2 i \text{PolyLog}\left(3,i e^{a+b x}\right)}{b^3}-\frac{4 x \tanh ^{-1}\left(e^{a+b x}\right)}{b^2}-\frac{2 x^2 \tan ^{-1}\left(e^{a+b x}\right)}{b}-\frac{x^2 \text{csch}(a+b x)}{b}","\frac{2 i x \text{PolyLog}\left(2,-i e^{a+b x}\right)}{b^2}-\frac{2 i x \text{PolyLog}\left(2,i e^{a+b x}\right)}{b^2}-\frac{2 \text{PolyLog}\left(2,-e^{a+b x}\right)}{b^3}+\frac{2 \text{PolyLog}\left(2,e^{a+b x}\right)}{b^3}-\frac{2 i \text{PolyLog}\left(3,-i e^{a+b x}\right)}{b^3}+\frac{2 i \text{PolyLog}\left(3,i e^{a+b x}\right)}{b^3}-\frac{4 x \tanh ^{-1}\left(e^{a+b x}\right)}{b^2}-\frac{2 x^2 \tan ^{-1}\left(e^{a+b x}\right)}{b}-\frac{x^2 \text{csch}(a+b x)}{b}",1,"(-2*x^2*ArcTan[E^(a + b*x)])/b - (4*x*ArcTanh[E^(a + b*x)])/b^2 - (x^2*Csch[a + b*x])/b - (2*PolyLog[2, -E^(a + b*x)])/b^3 + ((2*I)*x*PolyLog[2, (-I)*E^(a + b*x)])/b^2 - ((2*I)*x*PolyLog[2, I*E^(a + b*x)])/b^2 + (2*PolyLog[2, E^(a + b*x)])/b^3 - ((2*I)*PolyLog[3, (-I)*E^(a + b*x)])/b^3 + ((2*I)*PolyLog[3, I*E^(a + b*x)])/b^3","A",17,14,18,0.7778,1,"{2621, 321, 207, 5462, 14, 5205, 12, 4180, 2531, 2282, 6589, 4182, 2279, 2391}"
490,1,79,0,0.1124502,"\int x \text{csch}^2(a+b x) \text{sech}(a+b x) \, dx","Int[x*Csch[a + b*x]^2*Sech[a + b*x],x]","\frac{i \text{PolyLog}\left(2,-i e^{a+b x}\right)}{b^2}-\frac{i \text{PolyLog}\left(2,i e^{a+b x}\right)}{b^2}-\frac{\tanh ^{-1}(\cosh (a+b x))}{b^2}-\frac{2 x \tan ^{-1}\left(e^{a+b x}\right)}{b}-\frac{x \text{csch}(a+b x)}{b}","\frac{i \text{PolyLog}\left(2,-i e^{a+b x}\right)}{b^2}-\frac{i \text{PolyLog}\left(2,i e^{a+b x}\right)}{b^2}-\frac{\tanh ^{-1}(\cosh (a+b x))}{b^2}-\frac{2 x \tan ^{-1}\left(e^{a+b x}\right)}{b}-\frac{x \text{csch}(a+b x)}{b}",1,"(-2*x*ArcTan[E^(a + b*x)])/b - ArcTanh[Cosh[a + b*x]]/b^2 - (x*Csch[a + b*x])/b + (I*PolyLog[2, (-I)*E^(a + b*x)])/b^2 - (I*PolyLog[2, I*E^(a + b*x)])/b^2","A",10,10,16,0.6250,1,"{2621, 321, 207, 5462, 5203, 12, 4180, 2279, 2391, 3770}"
491,1,24,0,0.0248662,"\int \text{csch}^2(a+b x) \text{sech}(a+b x) \, dx","Int[Csch[a + b*x]^2*Sech[a + b*x],x]","-\frac{\text{csch}(a+b x)}{b}-\frac{\tan ^{-1}(\sinh (a+b x))}{b}","-\frac{\text{csch}(a+b x)}{b}-\frac{\tan ^{-1}(\sinh (a+b x))}{b}",1,"-(ArcTan[Sinh[a + b*x]]/b) - Csch[a + b*x]/b","A",3,3,15,0.2000,1,"{2621, 321, 207}"
492,0,0,0,0.1615353,"\int \frac{\text{csch}^2(a+b x) \text{sech}(a+b x)}{x} \, dx","Int[(Csch[a + b*x]^2*Sech[a + b*x])/x,x]","\int \frac{\text{csch}^2(a+b x) \text{sech}(a+b x)}{x} \, dx","\text{Int}\left(\frac{\text{csch}^2(a+b x) \text{sech}(a+b x)}{x},x\right)",0,"Defer[Int][(Csch[a + b*x]^2*Sech[a + b*x])/x, x]","A",0,0,0,0,-1,"{}"
493,0,0,0,0.2105478,"\int \frac{\text{csch}^2(a+b x) \text{sech}(a+b x)}{x^2} \, dx","Int[(Csch[a + b*x]^2*Sech[a + b*x])/x^2,x]","\int \frac{\text{csch}^2(a+b x) \text{sech}(a+b x)}{x^2} \, dx","\text{Int}\left(\frac{\text{csch}^2(a+b x) \text{sech}(a+b x)}{x^2},x\right)",0,"Defer[Int][(Csch[a + b*x]^2*Sech[a + b*x])/x^2, x]","A",0,0,0,0,-1,"{}"
494,0,0,0,0.4885213,"\int x^m \text{csch}^2(a+b x) \text{sech}^2(a+b x) \, dx","Int[x^m*Csch[a + b*x]^2*Sech[a + b*x]^2,x]","\int x^m \text{csch}^2(a+b x) \text{sech}^2(a+b x) \, dx","\text{Int}\left(x^m \text{csch}^2(a+b x) \text{sech}^2(a+b x),x\right)",0,"Defer[Int][x^m*Csch[a + b*x]^2*Sech[a + b*x]^2, x]","A",0,0,0,0,-1,"{}"
495,1,85,0,0.2382335,"\int x^3 \text{csch}^2(a+b x) \text{sech}^2(a+b x) \, dx","Int[x^3*Csch[a + b*x]^2*Sech[a + b*x]^2,x]","\frac{3 x \text{PolyLog}\left(2,e^{4 (a+b x)}\right)}{2 b^3}-\frac{3 \text{PolyLog}\left(3,e^{4 (a+b x)}\right)}{8 b^4}+\frac{3 x^2 \log \left(1-e^{4 (a+b x)}\right)}{b^2}-\frac{2 x^3 \coth (2 a+2 b x)}{b}-\frac{2 x^3}{b}","\frac{3 x \text{PolyLog}\left(2,e^{4 (a+b x)}\right)}{2 b^3}-\frac{3 \text{PolyLog}\left(3,e^{4 (a+b x)}\right)}{8 b^4}+\frac{3 x^2 \log \left(1-e^{4 (a+b x)}\right)}{b^2}-\frac{2 x^3 \coth (2 a+2 b x)}{b}-\frac{2 x^3}{b}",1,"(-2*x^3)/b - (2*x^3*Coth[2*a + 2*b*x])/b + (3*x^2*Log[1 - E^(4*(a + b*x))])/b^2 + (3*x*PolyLog[2, E^(4*(a + b*x))])/(2*b^3) - (3*PolyLog[3, E^(4*(a + b*x))])/(8*b^4)","A",7,7,20,0.3500,1,"{5461, 4184, 3716, 2190, 2531, 2282, 6589}"
496,1,64,0,0.167392,"\int x^2 \text{csch}^2(a+b x) \text{sech}^2(a+b x) \, dx","Int[x^2*Csch[a + b*x]^2*Sech[a + b*x]^2,x]","\frac{\text{PolyLog}\left(2,e^{4 (a+b x)}\right)}{2 b^3}+\frac{2 x \log \left(1-e^{4 (a+b x)}\right)}{b^2}-\frac{2 x^2 \coth (2 a+2 b x)}{b}-\frac{2 x^2}{b}","\frac{\text{PolyLog}\left(2,e^{4 (a+b x)}\right)}{2 b^3}+\frac{2 x \log \left(1-e^{4 (a+b x)}\right)}{b^2}-\frac{2 x^2 \coth (2 a+2 b x)}{b}-\frac{2 x^2}{b}",1,"(-2*x^2)/b - (2*x^2*Coth[2*a + 2*b*x])/b + (2*x*Log[1 - E^(4*(a + b*x))])/b^2 + PolyLog[2, E^(4*(a + b*x))]/(2*b^3)","A",6,6,20,0.3000,1,"{5461, 4184, 3716, 2190, 2279, 2391}"
497,1,30,0,0.0568041,"\int x \text{csch}^2(a+b x) \text{sech}^2(a+b x) \, dx","Int[x*Csch[a + b*x]^2*Sech[a + b*x]^2,x]","\frac{\log (\sinh (2 a+2 b x))}{b^2}-\frac{2 x \coth (2 a+2 b x)}{b}","\frac{\log (\sinh (2 a+2 b x))}{b^2}-\frac{2 x \coth (2 a+2 b x)}{b}",1,"(-2*x*Coth[2*a + 2*b*x])/b + Log[Sinh[2*a + 2*b*x]]/b^2","A",3,3,18,0.1667,1,"{5461, 4184, 3475}"
498,1,23,0,0.033186,"\int \text{csch}^2(a+b x) \text{sech}^2(a+b x) \, dx","Int[Csch[a + b*x]^2*Sech[a + b*x]^2,x]","-\frac{\tanh (a+b x)}{b}-\frac{\coth (a+b x)}{b}","-\frac{\tanh (a+b x)}{b}-\frac{\coth (a+b x)}{b}",1,"-(Coth[a + b*x]/b) - Tanh[a + b*x]/b","A",3,2,17,0.1176,1,"{2620, 14}"
499,0,0,0,0.0661142,"\int \frac{\text{csch}^2(a+b x) \text{sech}^2(a+b x)}{x} \, dx","Int[(Csch[a + b*x]^2*Sech[a + b*x]^2)/x,x]","\int \frac{\text{csch}^2(a+b x) \text{sech}^2(a+b x)}{x} \, dx","4 \text{Int}\left(\frac{\text{csch}^2(2 a+2 b x)}{x},x\right)",0,"4*Defer[Int][Csch[2*a + 2*b*x]^2/x, x]","A",0,0,0,0,-1,"{}"
500,0,0,0,0.0706101,"\int \frac{\text{csch}^2(a+b x) \text{sech}^2(a+b x)}{x^2} \, dx","Int[(Csch[a + b*x]^2*Sech[a + b*x]^2)/x^2,x]","\int \frac{\text{csch}^2(a+b x) \text{sech}^2(a+b x)}{x^2} \, dx","4 \text{Int}\left(\frac{\text{csch}^2(2 a+2 b x)}{x^2},x\right)",0,"4*Defer[Int][Csch[2*a + 2*b*x]^2/x^2, x]","A",0,0,0,0,-1,"{}"
501,0,0,0,0.5775899,"\int x^m \text{csch}^2(a+b x) \text{sech}^3(a+b x) \, dx","Int[x^m*Csch[a + b*x]^2*Sech[a + b*x]^3,x]","\int x^m \text{csch}^2(a+b x) \text{sech}^3(a+b x) \, dx","\text{Int}\left(x^m \text{csch}^2(a+b x) \text{sech}^3(a+b x),x\right)",0,"Defer[Int][x^m*Csch[a + b*x]^2*Sech[a + b*x]^3, x]","A",0,0,0,0,-1,"{}"
502,1,206,0,0.4342583,"\int x^2 \text{csch}^2(a+b x) \text{sech}^3(a+b x) \, dx","Int[x^2*Csch[a + b*x]^2*Sech[a + b*x]^3,x]","\frac{3 i x \text{PolyLog}\left(2,-i e^{a+b x}\right)}{b^2}-\frac{3 i x \text{PolyLog}\left(2,i e^{a+b x}\right)}{b^2}-\frac{2 \text{PolyLog}\left(2,-e^{a+b x}\right)}{b^3}+\frac{2 \text{PolyLog}\left(2,e^{a+b x}\right)}{b^3}-\frac{3 i \text{PolyLog}\left(3,-i e^{a+b x}\right)}{b^3}+\frac{3 i \text{PolyLog}\left(3,i e^{a+b x}\right)}{b^3}-\frac{4 x \tanh ^{-1}\left(e^{a+b x}\right)}{b^2}-\frac{x \text{sech}(a+b x)}{b^2}+\frac{\tan ^{-1}(\sinh (a+b x))}{b^3}-\frac{3 x^2 \tan ^{-1}\left(e^{a+b x}\right)}{b}-\frac{3 x^2 \text{csch}(a+b x)}{2 b}+\frac{x^2 \text{csch}(a+b x) \text{sech}^2(a+b x)}{2 b}","\frac{3 i x \text{PolyLog}\left(2,-i e^{a+b x}\right)}{b^2}-\frac{3 i x \text{PolyLog}\left(2,i e^{a+b x}\right)}{b^2}-\frac{2 \text{PolyLog}\left(2,-e^{a+b x}\right)}{b^3}+\frac{2 \text{PolyLog}\left(2,e^{a+b x}\right)}{b^3}-\frac{3 i \text{PolyLog}\left(3,-i e^{a+b x}\right)}{b^3}+\frac{3 i \text{PolyLog}\left(3,i e^{a+b x}\right)}{b^3}-\frac{4 x \tanh ^{-1}\left(e^{a+b x}\right)}{b^2}-\frac{x \text{sech}(a+b x)}{b^2}+\frac{\tan ^{-1}(\sinh (a+b x))}{b^3}-\frac{3 x^2 \tan ^{-1}\left(e^{a+b x}\right)}{b}-\frac{3 x^2 \text{csch}(a+b x)}{2 b}+\frac{x^2 \text{csch}(a+b x) \text{sech}^2(a+b x)}{2 b}",1,"(-3*x^2*ArcTan[E^(a + b*x)])/b + ArcTan[Sinh[a + b*x]]/b^3 - (4*x*ArcTanh[E^(a + b*x)])/b^2 - (3*x^2*Csch[a + b*x])/(2*b) - (2*PolyLog[2, -E^(a + b*x)])/b^3 + ((3*I)*x*PolyLog[2, (-I)*E^(a + b*x)])/b^2 - ((3*I)*x*PolyLog[2, I*E^(a + b*x)])/b^2 + (2*PolyLog[2, E^(a + b*x)])/b^3 - ((3*I)*PolyLog[3, (-I)*E^(a + b*x)])/b^3 + ((3*I)*PolyLog[3, I*E^(a + b*x)])/b^3 - (x*Sech[a + b*x])/b^2 + (x^2*Csch[a + b*x]*Sech[a + b*x]^2)/(2*b)","A",29,18,20,0.9000,1,"{2621, 288, 321, 207, 5462, 14, 5205, 12, 4180, 2531, 2282, 6589, 4182, 2279, 2391, 2622, 6271, 3770}"
503,1,120,0,0.1664243,"\int x \text{csch}^2(a+b x) \text{sech}^3(a+b x) \, dx","Int[x*Csch[a + b*x]^2*Sech[a + b*x]^3,x]","\frac{3 i \text{PolyLog}\left(2,-i e^{a+b x}\right)}{2 b^2}-\frac{3 i \text{PolyLog}\left(2,i e^{a+b x}\right)}{2 b^2}-\frac{\text{sech}(a+b x)}{2 b^2}-\frac{\tanh ^{-1}(\cosh (a+b x))}{b^2}-\frac{3 x \tan ^{-1}\left(e^{a+b x}\right)}{b}-\frac{3 x \text{csch}(a+b x)}{2 b}+\frac{x \text{csch}(a+b x) \text{sech}^2(a+b x)}{2 b}","\frac{3 i \text{PolyLog}\left(2,-i e^{a+b x}\right)}{2 b^2}-\frac{3 i \text{PolyLog}\left(2,i e^{a+b x}\right)}{2 b^2}-\frac{\text{sech}(a+b x)}{2 b^2}-\frac{\tanh ^{-1}(\cosh (a+b x))}{b^2}-\frac{3 x \tan ^{-1}\left(e^{a+b x}\right)}{b}-\frac{3 x \text{csch}(a+b x)}{2 b}+\frac{x \text{csch}(a+b x) \text{sech}^2(a+b x)}{2 b}",1,"(-3*x*ArcTan[E^(a + b*x)])/b - ArcTanh[Cosh[a + b*x]]/b^2 - (3*x*Csch[a + b*x])/(2*b) + (((3*I)/2)*PolyLog[2, (-I)*E^(a + b*x)])/b^2 - (((3*I)/2)*PolyLog[2, I*E^(a + b*x)])/b^2 - Sech[a + b*x]/(2*b^2) + (x*Csch[a + b*x]*Sech[a + b*x]^2)/(2*b)","A",13,12,18,0.6667,1,"{2621, 288, 321, 207, 5462, 5203, 12, 4180, 2279, 2391, 3770, 2622}"
504,1,49,0,0.0416801,"\int \text{csch}^2(a+b x) \text{sech}^3(a+b x) \, dx","Int[Csch[a + b*x]^2*Sech[a + b*x]^3,x]","-\frac{3 \text{csch}(a+b x)}{2 b}-\frac{3 \tan ^{-1}(\sinh (a+b x))}{2 b}+\frac{\text{csch}(a+b x) \text{sech}^2(a+b x)}{2 b}","-\frac{3 \text{csch}(a+b x)}{2 b}-\frac{3 \tan ^{-1}(\sinh (a+b x))}{2 b}+\frac{\text{csch}(a+b x) \text{sech}^2(a+b x)}{2 b}",1,"(-3*ArcTan[Sinh[a + b*x]])/(2*b) - (3*Csch[a + b*x])/(2*b) + (Csch[a + b*x]*Sech[a + b*x]^2)/(2*b)","A",4,4,17,0.2353,1,"{2621, 288, 321, 207}"
505,0,0,0,0.2397076,"\int \frac{\text{csch}^2(a+b x) \text{sech}^3(a+b x)}{x} \, dx","Int[(Csch[a + b*x]^2*Sech[a + b*x]^3)/x,x]","\int \frac{\text{csch}^2(a+b x) \text{sech}^3(a+b x)}{x} \, dx","\text{Int}\left(\frac{\text{csch}^2(a+b x) \text{sech}^3(a+b x)}{x},x\right)",0,"Defer[Int][(Csch[a + b*x]^2*Sech[a + b*x]^3)/x, x]","A",0,0,0,0,-1,"{}"
506,0,0,0,0.3022295,"\int \frac{\text{csch}^2(a+b x) \text{sech}^3(a+b x)}{x^2} \, dx","Int[(Csch[a + b*x]^2*Sech[a + b*x]^3)/x^2,x]","\int \frac{\text{csch}^2(a+b x) \text{sech}^3(a+b x)}{x^2} \, dx","\text{Int}\left(\frac{\text{csch}^2(a+b x) \text{sech}^3(a+b x)}{x^2},x\right)",0,"Defer[Int][(Csch[a + b*x]^2*Sech[a + b*x]^3)/x^2, x]","A",0,0,0,0,-1,"{}"
507,0,0,0,0.4525982,"\int x^m \text{csch}^3(a+b x) \text{sech}(a+b x) \, dx","Int[x^m*Csch[a + b*x]^3*Sech[a + b*x],x]","\int x^m \text{csch}^3(a+b x) \text{sech}(a+b x) \, dx","\text{Int}\left(x^m \text{csch}^3(a+b x) \text{sech}(a+b x),x\right)",0,"Defer[Int][x^m*Csch[a + b*x]^3*Sech[a + b*x], x]","A",0,0,0,0,-1,"{}"
508,1,240,0,0.4237053,"\int x^3 \text{csch}^3(a+b x) \text{sech}(a+b x) \, dx","Int[x^3*Csch[a + b*x]^3*Sech[a + b*x],x]","\frac{3 x^2 \text{PolyLog}\left(2,-e^{2 a+2 b x}\right)}{2 b^2}-\frac{3 x^2 \text{PolyLog}\left(2,e^{2 a+2 b x}\right)}{2 b^2}-\frac{3 x \text{PolyLog}\left(3,-e^{2 a+2 b x}\right)}{2 b^3}+\frac{3 x \text{PolyLog}\left(3,e^{2 a+2 b x}\right)}{2 b^3}+\frac{3 \text{PolyLog}\left(2,e^{2 (a+b x)}\right)}{2 b^4}+\frac{3 \text{PolyLog}\left(4,-e^{2 a+2 b x}\right)}{4 b^4}-\frac{3 \text{PolyLog}\left(4,e^{2 a+2 b x}\right)}{4 b^4}-\frac{3 x^2 \coth (a+b x)}{2 b^2}+\frac{3 x \log \left(1-e^{2 (a+b x)}\right)}{b^3}+\frac{2 x^3 \tanh ^{-1}\left(e^{2 a+2 b x}\right)}{b}-\frac{x^3 \coth ^2(a+b x)}{2 b}-\frac{3 x^2}{2 b^2}+\frac{x^3}{2 b}","\frac{3 x^2 \text{PolyLog}\left(2,-e^{2 a+2 b x}\right)}{2 b^2}-\frac{3 x^2 \text{PolyLog}\left(2,e^{2 a+2 b x}\right)}{2 b^2}-\frac{3 x \text{PolyLog}\left(3,-e^{2 a+2 b x}\right)}{2 b^3}+\frac{3 x \text{PolyLog}\left(3,e^{2 a+2 b x}\right)}{2 b^3}+\frac{3 \text{PolyLog}\left(2,e^{2 (a+b x)}\right)}{2 b^4}+\frac{3 \text{PolyLog}\left(4,-e^{2 a+2 b x}\right)}{4 b^4}-\frac{3 \text{PolyLog}\left(4,e^{2 a+2 b x}\right)}{4 b^4}-\frac{3 x^2 \coth (a+b x)}{2 b^2}+\frac{3 x \log \left(1-e^{2 (a+b x)}\right)}{b^3}+\frac{2 x^3 \tanh ^{-1}\left(e^{2 a+2 b x}\right)}{b}-\frac{x^3 \coth ^2(a+b x)}{2 b}-\frac{3 x^2}{2 b^2}+\frac{x^3}{2 b}",1,"(-3*x^2)/(2*b^2) + x^3/(2*b) + (2*x^3*ArcTanh[E^(2*a + 2*b*x)])/b - (3*x^2*Coth[a + b*x])/(2*b^2) - (x^3*Coth[a + b*x]^2)/(2*b) + (3*x*Log[1 - E^(2*(a + b*x))])/b^3 + (3*PolyLog[2, E^(2*(a + b*x))])/(2*b^4) + (3*x^2*PolyLog[2, -E^(2*a + 2*b*x)])/(2*b^2) - (3*x^2*PolyLog[2, E^(2*a + 2*b*x)])/(2*b^2) - (3*x*PolyLog[3, -E^(2*a + 2*b*x)])/(2*b^3) + (3*x*PolyLog[3, E^(2*a + 2*b*x)])/(2*b^3) + (3*PolyLog[4, -E^(2*a + 2*b*x)])/(4*b^4) - (3*PolyLog[4, E^(2*a + 2*b*x)])/(4*b^4)","A",20,16,18,0.8889,1,"{2620, 14, 5462, 3720, 3716, 2190, 2279, 2391, 30, 2551, 12, 4182, 2531, 6609, 2282, 6589}"
509,1,148,0,0.2318569,"\int x^2 \text{csch}^3(a+b x) \text{sech}(a+b x) \, dx","Int[x^2*Csch[a + b*x]^3*Sech[a + b*x],x]","\frac{x \text{PolyLog}\left(2,-e^{2 a+2 b x}\right)}{b^2}-\frac{x \text{PolyLog}\left(2,e^{2 a+2 b x}\right)}{b^2}-\frac{\text{PolyLog}\left(3,-e^{2 a+2 b x}\right)}{2 b^3}+\frac{\text{PolyLog}\left(3,e^{2 a+2 b x}\right)}{2 b^3}-\frac{x \coth (a+b x)}{b^2}+\frac{\log (\sinh (a+b x))}{b^3}+\frac{2 x^2 \tanh ^{-1}\left(e^{2 a+2 b x}\right)}{b}-\frac{x^2 \coth ^2(a+b x)}{2 b}+\frac{x^2}{2 b}","\frac{x \text{PolyLog}\left(2,-e^{2 a+2 b x}\right)}{b^2}-\frac{x \text{PolyLog}\left(2,e^{2 a+2 b x}\right)}{b^2}-\frac{\text{PolyLog}\left(3,-e^{2 a+2 b x}\right)}{2 b^3}+\frac{\text{PolyLog}\left(3,e^{2 a+2 b x}\right)}{2 b^3}-\frac{x \coth (a+b x)}{b^2}+\frac{\log (\sinh (a+b x))}{b^3}+\frac{2 x^2 \tanh ^{-1}\left(e^{2 a+2 b x}\right)}{b}-\frac{x^2 \coth ^2(a+b x)}{2 b}+\frac{x^2}{2 b}",1,"x^2/(2*b) + (2*x^2*ArcTanh[E^(2*a + 2*b*x)])/b - (x*Coth[a + b*x])/b^2 - (x^2*Coth[a + b*x]^2)/(2*b) + Log[Sinh[a + b*x]]/b^3 + (x*PolyLog[2, -E^(2*a + 2*b*x)])/b^2 - (x*PolyLog[2, E^(2*a + 2*b*x)])/b^2 - PolyLog[3, -E^(2*a + 2*b*x)]/(2*b^3) + PolyLog[3, E^(2*a + 2*b*x)]/(2*b^3)","A",15,12,18,0.6667,1,"{2620, 14, 5462, 3720, 3475, 30, 2551, 12, 4182, 2531, 2282, 6589}"
510,1,95,0,0.1207557,"\int x \text{csch}^3(a+b x) \text{sech}(a+b x) \, dx","Int[x*Csch[a + b*x]^3*Sech[a + b*x],x]","\frac{\text{PolyLog}\left(2,-e^{2 a+2 b x}\right)}{2 b^2}-\frac{\text{PolyLog}\left(2,e^{2 a+2 b x}\right)}{2 b^2}-\frac{\coth (a+b x)}{2 b^2}+\frac{2 x \tanh ^{-1}\left(e^{2 a+2 b x}\right)}{b}-\frac{x \coth ^2(a+b x)}{2 b}+\frac{x}{2 b}","\frac{\text{PolyLog}\left(2,-e^{2 a+2 b x}\right)}{2 b^2}-\frac{\text{PolyLog}\left(2,e^{2 a+2 b x}\right)}{2 b^2}-\frac{\coth (a+b x)}{2 b^2}+\frac{2 x \tanh ^{-1}\left(e^{2 a+2 b x}\right)}{b}-\frac{x \coth ^2(a+b x)}{2 b}+\frac{x}{2 b}",1,"x/(2*b) + (2*x*ArcTanh[E^(2*a + 2*b*x)])/b - Coth[a + b*x]/(2*b^2) - (x*Coth[a + b*x]^2)/(2*b) + PolyLog[2, -E^(2*a + 2*b*x)]/(2*b^2) - PolyLog[2, E^(2*a + 2*b*x)]/(2*b^2)","A",11,10,16,0.6250,1,"{2620, 14, 5462, 3473, 8, 2548, 12, 4182, 2279, 2391}"
511,1,28,0,0.0274256,"\int \text{csch}^3(a+b x) \text{sech}(a+b x) \, dx","Int[Csch[a + b*x]^3*Sech[a + b*x],x]","-\frac{\coth ^2(a+b x)}{2 b}-\frac{\log (\tanh (a+b x))}{b}","-\frac{\coth ^2(a+b x)}{2 b}-\frac{\log (\tanh (a+b x))}{b}",1,"-Coth[a + b*x]^2/(2*b) - Log[Tanh[a + b*x]]/b","A",3,2,15,0.1333,1,"{2620, 14}"
512,0,0,0,0.1959895,"\int \frac{\text{csch}^3(a+b x) \text{sech}(a+b x)}{x} \, dx","Int[(Csch[a + b*x]^3*Sech[a + b*x])/x,x]","\int \frac{\text{csch}^3(a+b x) \text{sech}(a+b x)}{x} \, dx","\text{Int}\left(\frac{\text{csch}^3(a+b x) \text{sech}(a+b x)}{x},x\right)",0,"Defer[Int][(Csch[a + b*x]^3*Sech[a + b*x])/x, x]","A",0,0,0,0,-1,"{}"
513,0,0,0,0.2437095,"\int \frac{\text{csch}^3(a+b x) \text{sech}(a+b x)}{x^2} \, dx","Int[(Csch[a + b*x]^3*Sech[a + b*x])/x^2,x]","\int \frac{\text{csch}^3(a+b x) \text{sech}(a+b x)}{x^2} \, dx","\text{Int}\left(\frac{\text{csch}^3(a+b x) \text{sech}(a+b x)}{x^2},x\right)",0,"Defer[Int][(Csch[a + b*x]^3*Sech[a + b*x])/x^2, x]","A",0,0,0,0,-1,"{}"
514,0,0,0,0.6009505,"\int x^m \text{csch}^3(a+b x) \text{sech}^2(a+b x) \, dx","Int[x^m*Csch[a + b*x]^3*Sech[a + b*x]^2,x]","\int x^m \text{csch}^3(a+b x) \text{sech}^2(a+b x) \, dx","\text{Int}\left(x^m \text{csch}^3(a+b x) \text{sech}^2(a+b x),x\right)",0,"Defer[Int][x^m*Csch[a + b*x]^3*Sech[a + b*x]^2, x]","A",0,0,0,0,-1,"{}"
515,1,317,0,1.1772796,"\int x^3 \text{csch}^3(a+b x) \text{sech}^2(a+b x) \, dx","Int[x^3*Csch[a + b*x]^3*Sech[a + b*x]^2,x]","\frac{9 x^2 \text{PolyLog}\left(2,-e^{a+b x}\right)}{2 b^2}-\frac{9 x^2 \text{PolyLog}\left(2,e^{a+b x}\right)}{2 b^2}-\frac{6 i x \text{PolyLog}\left(2,-i e^{a+b x}\right)}{b^3}+\frac{6 i x \text{PolyLog}\left(2,i e^{a+b x}\right)}{b^3}-\frac{9 x \text{PolyLog}\left(3,-e^{a+b x}\right)}{b^3}+\frac{9 x \text{PolyLog}\left(3,e^{a+b x}\right)}{b^3}-\frac{3 \text{PolyLog}\left(2,-e^{a+b x}\right)}{b^4}+\frac{3 \text{PolyLog}\left(2,e^{a+b x}\right)}{b^4}+\frac{6 i \text{PolyLog}\left(3,-i e^{a+b x}\right)}{b^4}-\frac{6 i \text{PolyLog}\left(3,i e^{a+b x}\right)}{b^4}+\frac{9 \text{PolyLog}\left(4,-e^{a+b x}\right)}{b^4}-\frac{9 \text{PolyLog}\left(4,e^{a+b x}\right)}{b^4}+\frac{6 x^2 \tan ^{-1}\left(e^{a+b x}\right)}{b^2}-\frac{3 x^2 \text{csch}(a+b x)}{2 b^2}-\frac{6 x \tanh ^{-1}\left(e^{a+b x}\right)}{b^3}+\frac{3 x^3 \tanh ^{-1}\left(e^{a+b x}\right)}{b}-\frac{3 x^3 \text{sech}(a+b x)}{2 b}-\frac{x^3 \text{csch}^2(a+b x) \text{sech}(a+b x)}{2 b}","\frac{9 x^2 \text{PolyLog}\left(2,-e^{a+b x}\right)}{2 b^2}-\frac{9 x^2 \text{PolyLog}\left(2,e^{a+b x}\right)}{2 b^2}-\frac{6 i x \text{PolyLog}\left(2,-i e^{a+b x}\right)}{b^3}+\frac{6 i x \text{PolyLog}\left(2,i e^{a+b x}\right)}{b^3}-\frac{9 x \text{PolyLog}\left(3,-e^{a+b x}\right)}{b^3}+\frac{9 x \text{PolyLog}\left(3,e^{a+b x}\right)}{b^3}-\frac{3 \text{PolyLog}\left(2,-e^{a+b x}\right)}{b^4}+\frac{3 \text{PolyLog}\left(2,e^{a+b x}\right)}{b^4}+\frac{6 i \text{PolyLog}\left(3,-i e^{a+b x}\right)}{b^4}-\frac{6 i \text{PolyLog}\left(3,i e^{a+b x}\right)}{b^4}+\frac{9 \text{PolyLog}\left(4,-e^{a+b x}\right)}{b^4}-\frac{9 \text{PolyLog}\left(4,e^{a+b x}\right)}{b^4}+\frac{6 x^2 \tan ^{-1}\left(e^{a+b x}\right)}{b^2}-\frac{3 x^2 \text{csch}(a+b x)}{2 b^2}-\frac{6 x \tanh ^{-1}\left(e^{a+b x}\right)}{b^3}+\frac{3 x^3 \tanh ^{-1}\left(e^{a+b x}\right)}{b}-\frac{3 x^3 \text{sech}(a+b x)}{2 b}-\frac{x^3 \text{csch}^2(a+b x) \text{sech}(a+b x)}{2 b}",1,"(6*x^2*ArcTan[E^(a + b*x)])/b^2 - (6*x*ArcTanh[E^(a + b*x)])/b^3 + (3*x^3*ArcTanh[E^(a + b*x)])/b - (3*x^2*Csch[a + b*x])/(2*b^2) - (3*PolyLog[2, -E^(a + b*x)])/b^4 + (9*x^2*PolyLog[2, -E^(a + b*x)])/(2*b^2) - ((6*I)*x*PolyLog[2, (-I)*E^(a + b*x)])/b^3 + ((6*I)*x*PolyLog[2, I*E^(a + b*x)])/b^3 + (3*PolyLog[2, E^(a + b*x)])/b^4 - (9*x^2*PolyLog[2, E^(a + b*x)])/(2*b^2) - (9*x*PolyLog[3, -E^(a + b*x)])/b^3 + ((6*I)*PolyLog[3, (-I)*E^(a + b*x)])/b^4 - ((6*I)*PolyLog[3, I*E^(a + b*x)])/b^4 + (9*x*PolyLog[3, E^(a + b*x)])/b^3 + (9*PolyLog[4, -E^(a + b*x)])/b^4 - (9*PolyLog[4, E^(a + b*x)])/b^4 - (3*x^3*Sech[a + b*x])/(2*b) - (x^3*Csch[a + b*x]^2*Sech[a + b*x])/(2*b)","A",40,19,20,0.9500,1,"{2622, 288, 321, 207, 5462, 14, 6273, 12, 4182, 2531, 6609, 2282, 6589, 6742, 4180, 2621, 5205, 2279, 2391}"
516,1,197,0,0.4887231,"\int x^2 \text{csch}^3(a+b x) \text{sech}^2(a+b x) \, dx","Int[x^2*Csch[a + b*x]^3*Sech[a + b*x]^2,x]","\frac{3 x \text{PolyLog}\left(2,-e^{a+b x}\right)}{b^2}-\frac{3 x \text{PolyLog}\left(2,e^{a+b x}\right)}{b^2}-\frac{2 i \text{PolyLog}\left(2,-i e^{a+b x}\right)}{b^3}+\frac{2 i \text{PolyLog}\left(2,i e^{a+b x}\right)}{b^3}-\frac{3 \text{PolyLog}\left(3,-e^{a+b x}\right)}{b^3}+\frac{3 \text{PolyLog}\left(3,e^{a+b x}\right)}{b^3}+\frac{4 x \tan ^{-1}\left(e^{a+b x}\right)}{b^2}-\frac{x \text{csch}(a+b x)}{b^2}-\frac{\tanh ^{-1}(\cosh (a+b x))}{b^3}+\frac{3 x^2 \tanh ^{-1}\left(e^{a+b x}\right)}{b}-\frac{3 x^2 \text{sech}(a+b x)}{2 b}-\frac{x^2 \text{csch}^2(a+b x) \text{sech}(a+b x)}{2 b}","\frac{3 x \text{PolyLog}\left(2,-e^{a+b x}\right)}{b^2}-\frac{3 x \text{PolyLog}\left(2,e^{a+b x}\right)}{b^2}-\frac{2 i \text{PolyLog}\left(2,-i e^{a+b x}\right)}{b^3}+\frac{2 i \text{PolyLog}\left(2,i e^{a+b x}\right)}{b^3}-\frac{3 \text{PolyLog}\left(3,-e^{a+b x}\right)}{b^3}+\frac{3 \text{PolyLog}\left(3,e^{a+b x}\right)}{b^3}+\frac{4 x \tan ^{-1}\left(e^{a+b x}\right)}{b^2}-\frac{x \text{csch}(a+b x)}{b^2}-\frac{\tanh ^{-1}(\cosh (a+b x))}{b^3}+\frac{3 x^2 \tanh ^{-1}\left(e^{a+b x}\right)}{b}-\frac{3 x^2 \text{sech}(a+b x)}{2 b}-\frac{x^2 \text{csch}^2(a+b x) \text{sech}(a+b x)}{2 b}",1,"(4*x*ArcTan[E^(a + b*x)])/b^2 + (3*x^2*ArcTanh[E^(a + b*x)])/b - ArcTanh[Cosh[a + b*x]]/b^3 - (x*Csch[a + b*x])/b^2 + (3*x*PolyLog[2, -E^(a + b*x)])/b^2 - ((2*I)*PolyLog[2, (-I)*E^(a + b*x)])/b^3 + ((2*I)*PolyLog[2, I*E^(a + b*x)])/b^3 - (3*x*PolyLog[2, E^(a + b*x)])/b^2 - (3*PolyLog[3, -E^(a + b*x)])/b^3 + (3*PolyLog[3, E^(a + b*x)])/b^3 - (3*x^2*Sech[a + b*x])/(2*b) - (x^2*Csch[a + b*x]^2*Sech[a + b*x])/(2*b)","A",29,19,20,0.9500,1,"{2622, 288, 321, 207, 5462, 14, 6273, 12, 4182, 2531, 2282, 6589, 6742, 4180, 2279, 2391, 2621, 5203, 3770}"
517,1,109,0,0.1653305,"\int x \text{csch}^3(a+b x) \text{sech}^2(a+b x) \, dx","Int[x*Csch[a + b*x]^3*Sech[a + b*x]^2,x]","\frac{3 \text{PolyLog}\left(2,-e^{a+b x}\right)}{2 b^2}-\frac{3 \text{PolyLog}\left(2,e^{a+b x}\right)}{2 b^2}-\frac{\text{csch}(a+b x)}{2 b^2}+\frac{\tan ^{-1}(\sinh (a+b x))}{b^2}+\frac{3 x \tanh ^{-1}\left(e^{a+b x}\right)}{b}-\frac{3 x \text{sech}(a+b x)}{2 b}-\frac{x \text{csch}^2(a+b x) \text{sech}(a+b x)}{2 b}","\frac{3 \text{PolyLog}\left(2,-e^{a+b x}\right)}{2 b^2}-\frac{3 \text{PolyLog}\left(2,e^{a+b x}\right)}{2 b^2}-\frac{\text{csch}(a+b x)}{2 b^2}+\frac{\tan ^{-1}(\sinh (a+b x))}{b^2}+\frac{3 x \tanh ^{-1}\left(e^{a+b x}\right)}{b}-\frac{3 x \text{sech}(a+b x)}{2 b}-\frac{x \text{csch}^2(a+b x) \text{sech}(a+b x)}{2 b}",1,"ArcTan[Sinh[a + b*x]]/b^2 + (3*x*ArcTanh[E^(a + b*x)])/b - Csch[a + b*x]/(2*b^2) + (3*PolyLog[2, -E^(a + b*x)])/(2*b^2) - (3*PolyLog[2, E^(a + b*x)])/(2*b^2) - (3*x*Sech[a + b*x])/(2*b) - (x*Csch[a + b*x]^2*Sech[a + b*x])/(2*b)","A",13,12,18,0.6667,1,"{2622, 288, 321, 207, 5462, 6271, 12, 4182, 2279, 2391, 3770, 2621}"
518,1,49,0,0.0483274,"\int \text{csch}^3(a+b x) \text{sech}^2(a+b x) \, dx","Int[Csch[a + b*x]^3*Sech[a + b*x]^2,x]","-\frac{3 \text{sech}(a+b x)}{2 b}+\frac{3 \tanh ^{-1}(\cosh (a+b x))}{2 b}-\frac{\text{csch}^2(a+b x) \text{sech}(a+b x)}{2 b}","-\frac{3 \text{sech}(a+b x)}{2 b}+\frac{3 \tanh ^{-1}(\cosh (a+b x))}{2 b}-\frac{\text{csch}^2(a+b x) \text{sech}(a+b x)}{2 b}",1,"(3*ArcTanh[Cosh[a + b*x]])/(2*b) - (3*Sech[a + b*x])/(2*b) - (Csch[a + b*x]^2*Sech[a + b*x])/(2*b)","A",4,4,17,0.2353,1,"{2622, 288, 321, 207}"
519,0,0,0,0.276633,"\int \frac{\text{csch}^3(a+b x) \text{sech}^2(a+b x)}{x} \, dx","Int[(Csch[a + b*x]^3*Sech[a + b*x]^2)/x,x]","\int \frac{\text{csch}^3(a+b x) \text{sech}^2(a+b x)}{x} \, dx","\text{Int}\left(\frac{\text{csch}^3(a+b x) \text{sech}^2(a+b x)}{x},x\right)",0,"Defer[Int][(Csch[a + b*x]^3*Sech[a + b*x]^2)/x, x]","A",0,0,0,0,-1,"{}"
520,0,0,0,0.3327591,"\int \frac{\text{csch}^3(a+b x) \text{sech}^2(a+b x)}{x^2} \, dx","Int[(Csch[a + b*x]^3*Sech[a + b*x]^2)/x^2,x]","\int \frac{\text{csch}^3(a+b x) \text{sech}^2(a+b x)}{x^2} \, dx","\text{Int}\left(\frac{\text{csch}^3(a+b x) \text{sech}^2(a+b x)}{x^2},x\right)",0,"Defer[Int][(Csch[a + b*x]^3*Sech[a + b*x]^2)/x^2, x]","A",0,0,0,0,-1,"{}"
521,0,0,0,0.6132467,"\int x^m \text{csch}^3(a+b x) \text{sech}^3(a+b x) \, dx","Int[x^m*Csch[a + b*x]^3*Sech[a + b*x]^3,x]","\int x^m \text{csch}^3(a+b x) \text{sech}^3(a+b x) \, dx","\text{Int}\left(x^m \text{csch}^3(a+b x) \text{sech}^3(a+b x),x\right)",0,"Defer[Int][x^m*Csch[a + b*x]^3*Sech[a + b*x]^3, x]","A",0,0,0,0,-1,"{}"
522,1,240,0,0.3040292,"\int x^3 \text{csch}^3(a+b x) \text{sech}^3(a+b x) \, dx","Int[x^3*Csch[a + b*x]^3*Sech[a + b*x]^3,x]","\frac{3 x^2 \text{PolyLog}\left(2,-e^{2 a+2 b x}\right)}{b^2}-\frac{3 x^2 \text{PolyLog}\left(2,e^{2 a+2 b x}\right)}{b^2}-\frac{3 x \text{PolyLog}\left(3,-e^{2 a+2 b x}\right)}{b^3}+\frac{3 x \text{PolyLog}\left(3,e^{2 a+2 b x}\right)}{b^3}-\frac{3 \text{PolyLog}\left(2,-e^{2 a+2 b x}\right)}{2 b^4}+\frac{3 \text{PolyLog}\left(2,e^{2 a+2 b x}\right)}{2 b^4}+\frac{3 \text{PolyLog}\left(4,-e^{2 a+2 b x}\right)}{2 b^4}-\frac{3 \text{PolyLog}\left(4,e^{2 a+2 b x}\right)}{2 b^4}-\frac{3 x^2 \text{csch}(2 a+2 b x)}{b^2}-\frac{6 x \tanh ^{-1}\left(e^{2 a+2 b x}\right)}{b^3}+\frac{4 x^3 \tanh ^{-1}\left(e^{2 a+2 b x}\right)}{b}-\frac{2 x^3 \coth (2 a+2 b x) \text{csch}(2 a+2 b x)}{b}","\frac{3 x^2 \text{PolyLog}\left(2,-e^{2 a+2 b x}\right)}{b^2}-\frac{3 x^2 \text{PolyLog}\left(2,e^{2 a+2 b x}\right)}{b^2}-\frac{3 x \text{PolyLog}\left(3,-e^{2 a+2 b x}\right)}{b^3}+\frac{3 x \text{PolyLog}\left(3,e^{2 a+2 b x}\right)}{b^3}-\frac{3 \text{PolyLog}\left(2,-e^{2 a+2 b x}\right)}{2 b^4}+\frac{3 \text{PolyLog}\left(2,e^{2 a+2 b x}\right)}{2 b^4}+\frac{3 \text{PolyLog}\left(4,-e^{2 a+2 b x}\right)}{2 b^4}-\frac{3 \text{PolyLog}\left(4,e^{2 a+2 b x}\right)}{2 b^4}-\frac{3 x^2 \text{csch}(2 a+2 b x)}{b^2}-\frac{6 x \tanh ^{-1}\left(e^{2 a+2 b x}\right)}{b^3}+\frac{4 x^3 \tanh ^{-1}\left(e^{2 a+2 b x}\right)}{b}-\frac{2 x^3 \coth (2 a+2 b x) \text{csch}(2 a+2 b x)}{b}",1,"(-6*x*ArcTanh[E^(2*a + 2*b*x)])/b^3 + (4*x^3*ArcTanh[E^(2*a + 2*b*x)])/b - (3*x^2*Csch[2*a + 2*b*x])/b^2 - (2*x^3*Coth[2*a + 2*b*x]*Csch[2*a + 2*b*x])/b - (3*PolyLog[2, -E^(2*a + 2*b*x)])/(2*b^4) + (3*x^2*PolyLog[2, -E^(2*a + 2*b*x)])/b^2 + (3*PolyLog[2, E^(2*a + 2*b*x)])/(2*b^4) - (3*x^2*PolyLog[2, E^(2*a + 2*b*x)])/b^2 - (3*x*PolyLog[3, -E^(2*a + 2*b*x)])/b^3 + (3*x*PolyLog[3, E^(2*a + 2*b*x)])/b^3 + (3*PolyLog[4, -E^(2*a + 2*b*x)])/(2*b^4) - (3*PolyLog[4, E^(2*a + 2*b*x)])/(2*b^4)","A",16,9,20,0.4500,1,"{5461, 4186, 4182, 2279, 2391, 2531, 6609, 2282, 6589}"
523,1,149,0,0.1982458,"\int x^2 \text{csch}^3(a+b x) \text{sech}^3(a+b x) \, dx","Int[x^2*Csch[a + b*x]^3*Sech[a + b*x]^3,x]","\frac{2 x \text{PolyLog}\left(2,-e^{2 a+2 b x}\right)}{b^2}-\frac{2 x \text{PolyLog}\left(2,e^{2 a+2 b x}\right)}{b^2}-\frac{\text{PolyLog}\left(3,-e^{2 a+2 b x}\right)}{b^3}+\frac{\text{PolyLog}\left(3,e^{2 a+2 b x}\right)}{b^3}-\frac{2 x \text{csch}(2 a+2 b x)}{b^2}-\frac{\tanh ^{-1}(\cosh (2 a+2 b x))}{b^3}+\frac{4 x^2 \tanh ^{-1}\left(e^{2 a+2 b x}\right)}{b}-\frac{2 x^2 \coth (2 a+2 b x) \text{csch}(2 a+2 b x)}{b}","\frac{2 x \text{PolyLog}\left(2,-e^{2 a+2 b x}\right)}{b^2}-\frac{2 x \text{PolyLog}\left(2,e^{2 a+2 b x}\right)}{b^2}-\frac{\text{PolyLog}\left(3,-e^{2 a+2 b x}\right)}{b^3}+\frac{\text{PolyLog}\left(3,e^{2 a+2 b x}\right)}{b^3}-\frac{2 x \text{csch}(2 a+2 b x)}{b^2}-\frac{\tanh ^{-1}(\cosh (2 a+2 b x))}{b^3}+\frac{4 x^2 \tanh ^{-1}\left(e^{2 a+2 b x}\right)}{b}-\frac{2 x^2 \coth (2 a+2 b x) \text{csch}(2 a+2 b x)}{b}",1,"(4*x^2*ArcTanh[E^(2*a + 2*b*x)])/b - ArcTanh[Cosh[2*a + 2*b*x]]/b^3 - (2*x*Csch[2*a + 2*b*x])/b^2 - (2*x^2*Coth[2*a + 2*b*x]*Csch[2*a + 2*b*x])/b + (2*x*PolyLog[2, -E^(2*a + 2*b*x)])/b^2 - (2*x*PolyLog[2, E^(2*a + 2*b*x)])/b^2 - PolyLog[3, -E^(2*a + 2*b*x)]/b^3 + PolyLog[3, E^(2*a + 2*b*x)]/b^3","A",10,7,20,0.3500,1,"{5461, 4186, 3770, 4182, 2531, 2282, 6589}"
524,1,91,0,0.110237,"\int x \text{csch}^3(a+b x) \text{sech}^3(a+b x) \, dx","Int[x*Csch[a + b*x]^3*Sech[a + b*x]^3,x]","\frac{\text{PolyLog}\left(2,-e^{2 a+2 b x}\right)}{b^2}-\frac{\text{PolyLog}\left(2,e^{2 a+2 b x}\right)}{b^2}-\frac{\text{csch}(2 a+2 b x)}{b^2}+\frac{4 x \tanh ^{-1}\left(e^{2 a+2 b x}\right)}{b}-\frac{2 x \coth (2 a+2 b x) \text{csch}(2 a+2 b x)}{b}","\frac{\text{PolyLog}\left(2,-e^{2 a+2 b x}\right)}{b^2}-\frac{\text{PolyLog}\left(2,e^{2 a+2 b x}\right)}{b^2}-\frac{\text{csch}(2 a+2 b x)}{b^2}+\frac{4 x \tanh ^{-1}\left(e^{2 a+2 b x}\right)}{b}-\frac{2 x \coth (2 a+2 b x) \text{csch}(2 a+2 b x)}{b}",1,"(4*x*ArcTanh[E^(2*a + 2*b*x)])/b - Csch[2*a + 2*b*x]/b^2 - (2*x*Coth[2*a + 2*b*x]*Csch[2*a + 2*b*x])/b + PolyLog[2, -E^(2*a + 2*b*x)]/b^2 - PolyLog[2, E^(2*a + 2*b*x)]/b^2","A",7,5,18,0.2778,1,"{5461, 4185, 4182, 2279, 2391}"
525,1,43,0,0.0443224,"\int \text{csch}^3(a+b x) \text{sech}^3(a+b x) \, dx","Int[Csch[a + b*x]^3*Sech[a + b*x]^3,x]","\frac{\tanh ^2(a+b x)}{2 b}-\frac{\coth ^2(a+b x)}{2 b}-\frac{2 \log (\tanh (a+b x))}{b}","\frac{\tanh ^2(a+b x)}{2 b}-\frac{\coth ^2(a+b x)}{2 b}-\frac{2 \log (\tanh (a+b x))}{b}",1,"-Coth[a + b*x]^2/(2*b) - (2*Log[Tanh[a + b*x]])/b + Tanh[a + b*x]^2/(2*b)","A",4,3,17,0.1765,1,"{2620, 266, 43}"
526,0,0,0,0.0682176,"\int \frac{\text{csch}^3(a+b x) \text{sech}^3(a+b x)}{x} \, dx","Int[(Csch[a + b*x]^3*Sech[a + b*x]^3)/x,x]","\int \frac{\text{csch}^3(a+b x) \text{sech}^3(a+b x)}{x} \, dx","8 \text{Int}\left(\frac{\text{csch}^3(2 a+2 b x)}{x},x\right)",0,"8*Defer[Int][Csch[2*a + 2*b*x]^3/x, x]","A",0,0,0,0,-1,"{}"
527,0,0,0,0.0729499,"\int \frac{\text{csch}^3(a+b x) \text{sech}^3(a+b x)}{x^2} \, dx","Int[(Csch[a + b*x]^3*Sech[a + b*x]^3)/x^2,x]","\int \frac{\text{csch}^3(a+b x) \text{sech}^3(a+b x)}{x^2} \, dx","8 \text{Int}\left(\frac{\text{csch}^3(2 a+2 b x)}{x^2},x\right)",0,"8*Defer[Int][Csch[2*a + 2*b*x]^3/x^2, x]","A",0,0,0,0,-1,"{}"
528,1,87,0,0.0578226,"\int x \cosh ^{\frac{5}{2}}(a+b x) \sinh (a+b x) \, dx","Int[x*Cosh[a + b*x]^(5/2)*Sinh[a + b*x],x]","\frac{20 i F\left(\left.\frac{1}{2} i (a+b x)\right|2\right)}{147 b^2}-\frac{4 \sinh (a+b x) \cosh ^{\frac{5}{2}}(a+b x)}{49 b^2}-\frac{20 \sinh (a+b x) \sqrt{\cosh (a+b x)}}{147 b^2}+\frac{2 x \cosh ^{\frac{7}{2}}(a+b x)}{7 b}","\frac{20 i F\left(\left.\frac{1}{2} i (a+b x)\right|2\right)}{147 b^2}-\frac{4 \sinh (a+b x) \cosh ^{\frac{5}{2}}(a+b x)}{49 b^2}-\frac{20 \sinh (a+b x) \sqrt{\cosh (a+b x)}}{147 b^2}+\frac{2 x \cosh ^{\frac{7}{2}}(a+b x)}{7 b}",1,"(2*x*Cosh[a + b*x]^(7/2))/(7*b) + (((20*I)/147)*EllipticF[(I/2)*(a + b*x), 2])/b^2 - (20*Sqrt[Cosh[a + b*x]]*Sinh[a + b*x])/(147*b^2) - (4*Cosh[a + b*x]^(5/2)*Sinh[a + b*x])/(49*b^2)","A",4,3,18,0.1667,1,"{5373, 2635, 2641}"
529,1,64,0,0.0426493,"\int x \cosh ^{\frac{3}{2}}(a+b x) \sinh (a+b x) \, dx","Int[x*Cosh[a + b*x]^(3/2)*Sinh[a + b*x],x]","\frac{12 i E\left(\left.\frac{1}{2} i (a+b x)\right|2\right)}{25 b^2}-\frac{4 \sinh (a+b x) \cosh ^{\frac{3}{2}}(a+b x)}{25 b^2}+\frac{2 x \cosh ^{\frac{5}{2}}(a+b x)}{5 b}","\frac{12 i E\left(\left.\frac{1}{2} i (a+b x)\right|2\right)}{25 b^2}-\frac{4 \sinh (a+b x) \cosh ^{\frac{3}{2}}(a+b x)}{25 b^2}+\frac{2 x \cosh ^{\frac{5}{2}}(a+b x)}{5 b}",1,"(2*x*Cosh[a + b*x]^(5/2))/(5*b) + (((12*I)/25)*EllipticE[(I/2)*(a + b*x), 2])/b^2 - (4*Cosh[a + b*x]^(3/2)*Sinh[a + b*x])/(25*b^2)","A",3,3,18,0.1667,1,"{5373, 2635, 2639}"
530,1,64,0,0.0422691,"\int x \sqrt{\cosh (a+b x)} \sinh (a+b x) \, dx","Int[x*Sqrt[Cosh[a + b*x]]*Sinh[a + b*x],x]","\frac{4 i F\left(\left.\frac{1}{2} i (a+b x)\right|2\right)}{9 b^2}-\frac{4 \sinh (a+b x) \sqrt{\cosh (a+b x)}}{9 b^2}+\frac{2 x \cosh ^{\frac{3}{2}}(a+b x)}{3 b}","\frac{4 i F\left(\left.\frac{1}{2} i (a+b x)\right|2\right)}{9 b^2}-\frac{4 \sinh (a+b x) \sqrt{\cosh (a+b x)}}{9 b^2}+\frac{2 x \cosh ^{\frac{3}{2}}(a+b x)}{3 b}",1,"(2*x*Cosh[a + b*x]^(3/2))/(3*b) + (((4*I)/9)*EllipticF[(I/2)*(a + b*x), 2])/b^2 - (4*Sqrt[Cosh[a + b*x]]*Sinh[a + b*x])/(9*b^2)","A",3,3,18,0.1667,1,"{5373, 2635, 2641}"
531,1,37,0,0.0295638,"\int \frac{x \sinh (a+b x)}{\sqrt{\cosh (a+b x)}} \, dx","Int[(x*Sinh[a + b*x])/Sqrt[Cosh[a + b*x]],x]","\frac{2 x \sqrt{\cosh (a+b x)}}{b}+\frac{4 i E\left(\left.\frac{1}{2} i (a+b x)\right|2\right)}{b^2}","\frac{2 x \sqrt{\cosh (a+b x)}}{b}+\frac{4 i E\left(\left.\frac{1}{2} i (a+b x)\right|2\right)}{b^2}",1,"(2*x*Sqrt[Cosh[a + b*x]])/b + ((4*I)*EllipticE[(I/2)*(a + b*x), 2])/b^2","A",2,2,18,0.1111,1,"{5373, 2639}"
532,1,37,0,0.0293948,"\int \frac{x \sinh (a+b x)}{\cosh ^{\frac{3}{2}}(a+b x)} \, dx","Int[(x*Sinh[a + b*x])/Cosh[a + b*x]^(3/2),x]","-\frac{2 x}{b \sqrt{\cosh (a+b x)}}-\frac{4 i F\left(\left.\frac{1}{2} i (a+b x)\right|2\right)}{b^2}","-\frac{2 x}{b \sqrt{\cosh (a+b x)}}-\frac{4 i F\left(\left.\frac{1}{2} i (a+b x)\right|2\right)}{b^2}",1,"(-2*x)/(b*Sqrt[Cosh[a + b*x]]) - ((4*I)*EllipticF[(I/2)*(a + b*x), 2])/b^2","A",2,2,18,0.1111,1,"{5373, 2641}"
533,1,64,0,0.0424529,"\int \frac{x \sinh (a+b x)}{\cosh ^{\frac{5}{2}}(a+b x)} \, dx","Int[(x*Sinh[a + b*x])/Cosh[a + b*x]^(5/2),x]","\frac{4 i E\left(\left.\frac{1}{2} i (a+b x)\right|2\right)}{3 b^2}+\frac{4 \sinh (a+b x)}{3 b^2 \sqrt{\cosh (a+b x)}}-\frac{2 x}{3 b \cosh ^{\frac{3}{2}}(a+b x)}","\frac{4 i E\left(\left.\frac{1}{2} i (a+b x)\right|2\right)}{3 b^2}+\frac{4 \sinh (a+b x)}{3 b^2 \sqrt{\cosh (a+b x)}}-\frac{2 x}{3 b \cosh ^{\frac{3}{2}}(a+b x)}",1,"(-2*x)/(3*b*Cosh[a + b*x]^(3/2)) + (((4*I)/3)*EllipticE[(I/2)*(a + b*x), 2])/b^2 + (4*Sinh[a + b*x])/(3*b^2*Sqrt[Cosh[a + b*x]])","A",3,3,18,0.1667,1,"{5373, 2636, 2639}"
534,1,64,0,0.042516,"\int \frac{x \sinh (a+b x)}{\cosh ^{\frac{7}{2}}(a+b x)} \, dx","Int[(x*Sinh[a + b*x])/Cosh[a + b*x]^(7/2),x]","-\frac{4 i F\left(\left.\frac{1}{2} i (a+b x)\right|2\right)}{15 b^2}+\frac{4 \sinh (a+b x)}{15 b^2 \cosh ^{\frac{3}{2}}(a+b x)}-\frac{2 x}{5 b \cosh ^{\frac{5}{2}}(a+b x)}","-\frac{4 i F\left(\left.\frac{1}{2} i (a+b x)\right|2\right)}{15 b^2}+\frac{4 \sinh (a+b x)}{15 b^2 \cosh ^{\frac{3}{2}}(a+b x)}-\frac{2 x}{5 b \cosh ^{\frac{5}{2}}(a+b x)}",1,"(-2*x)/(5*b*Cosh[a + b*x]^(5/2)) - (((4*I)/15)*EllipticF[(I/2)*(a + b*x), 2])/b^2 + (4*Sinh[a + b*x])/(15*b^2*Cosh[a + b*x]^(3/2))","A",3,3,18,0.1667,1,"{5373, 2636, 2641}"
535,1,87,0,0.0534982,"\int \frac{x \sinh (a+b x)}{\cosh ^{\frac{9}{2}}(a+b x)} \, dx","Int[(x*Sinh[a + b*x])/Cosh[a + b*x]^(9/2),x]","\frac{12 i E\left(\left.\frac{1}{2} i (a+b x)\right|2\right)}{35 b^2}+\frac{4 \sinh (a+b x)}{35 b^2 \cosh ^{\frac{5}{2}}(a+b x)}+\frac{12 \sinh (a+b x)}{35 b^2 \sqrt{\cosh (a+b x)}}-\frac{2 x}{7 b \cosh ^{\frac{7}{2}}(a+b x)}","\frac{12 i E\left(\left.\frac{1}{2} i (a+b x)\right|2\right)}{35 b^2}+\frac{4 \sinh (a+b x)}{35 b^2 \cosh ^{\frac{5}{2}}(a+b x)}+\frac{12 \sinh (a+b x)}{35 b^2 \sqrt{\cosh (a+b x)}}-\frac{2 x}{7 b \cosh ^{\frac{7}{2}}(a+b x)}",1,"(-2*x)/(7*b*Cosh[a + b*x]^(7/2)) + (((12*I)/35)*EllipticE[(I/2)*(a + b*x), 2])/b^2 + (4*Sinh[a + b*x])/(35*b^2*Cosh[a + b*x]^(5/2)) + (12*Sinh[a + b*x])/(35*b^2*Sqrt[Cosh[a + b*x]])","A",4,3,18,0.1667,1,"{5373, 2636, 2639}"
536,1,107,0,0.0649697,"\int x \text{sech}^{\frac{9}{2}}(a+b x) \sinh (a+b x) \, dx","Int[x*Sech[a + b*x]^(9/2)*Sinh[a + b*x],x]","\frac{4 \sinh (a+b x) \text{sech}^{\frac{5}{2}}(a+b x)}{35 b^2}+\frac{12 \sinh (a+b x) \sqrt{\text{sech}(a+b x)}}{35 b^2}+\frac{12 i \sqrt{\cosh (a+b x)} \sqrt{\text{sech}(a+b x)} E\left(\left.\frac{1}{2} i (a+b x)\right|2\right)}{35 b^2}-\frac{2 x \text{sech}^{\frac{7}{2}}(a+b x)}{7 b}","\frac{4 \sinh (a+b x) \text{sech}^{\frac{5}{2}}(a+b x)}{35 b^2}+\frac{12 \sinh (a+b x) \sqrt{\text{sech}(a+b x)}}{35 b^2}+\frac{12 i \sqrt{\cosh (a+b x)} \sqrt{\text{sech}(a+b x)} E\left(\left.\frac{1}{2} i (a+b x)\right|2\right)}{35 b^2}-\frac{2 x \text{sech}^{\frac{7}{2}}(a+b x)}{7 b}",1,"(((12*I)/35)*Sqrt[Cosh[a + b*x]]*EllipticE[(I/2)*(a + b*x), 2]*Sqrt[Sech[a + b*x]])/b^2 - (2*x*Sech[a + b*x]^(7/2))/(7*b) + (12*Sqrt[Sech[a + b*x]]*Sinh[a + b*x])/(35*b^2) + (4*Sech[a + b*x]^(5/2)*Sinh[a + b*x])/(35*b^2)","A",5,4,18,0.2222,1,"{5444, 3768, 3771, 2639}"
537,1,84,0,0.0522645,"\int x \text{sech}^{\frac{7}{2}}(a+b x) \sinh (a+b x) \, dx","Int[x*Sech[a + b*x]^(7/2)*Sinh[a + b*x],x]","\frac{4 \sinh (a+b x) \text{sech}^{\frac{3}{2}}(a+b x)}{15 b^2}-\frac{4 i \sqrt{\cosh (a+b x)} \sqrt{\text{sech}(a+b x)} F\left(\left.\frac{1}{2} i (a+b x)\right|2\right)}{15 b^2}-\frac{2 x \text{sech}^{\frac{5}{2}}(a+b x)}{5 b}","\frac{4 \sinh (a+b x) \text{sech}^{\frac{3}{2}}(a+b x)}{15 b^2}-\frac{4 i \sqrt{\cosh (a+b x)} \sqrt{\text{sech}(a+b x)} F\left(\left.\frac{1}{2} i (a+b x)\right|2\right)}{15 b^2}-\frac{2 x \text{sech}^{\frac{5}{2}}(a+b x)}{5 b}",1,"(((-4*I)/15)*Sqrt[Cosh[a + b*x]]*EllipticF[(I/2)*(a + b*x), 2]*Sqrt[Sech[a + b*x]])/b^2 - (2*x*Sech[a + b*x]^(5/2))/(5*b) + (4*Sech[a + b*x]^(3/2)*Sinh[a + b*x])/(15*b^2)","A",4,4,18,0.2222,1,"{5444, 3768, 3771, 2641}"
538,1,84,0,0.0517026,"\int x \text{sech}^{\frac{5}{2}}(a+b x) \sinh (a+b x) \, dx","Int[x*Sech[a + b*x]^(5/2)*Sinh[a + b*x],x]","\frac{4 \sinh (a+b x) \sqrt{\text{sech}(a+b x)}}{3 b^2}+\frac{4 i \sqrt{\cosh (a+b x)} \sqrt{\text{sech}(a+b x)} E\left(\left.\frac{1}{2} i (a+b x)\right|2\right)}{3 b^2}-\frac{2 x \text{sech}^{\frac{3}{2}}(a+b x)}{3 b}","\frac{4 \sinh (a+b x) \sqrt{\text{sech}(a+b x)}}{3 b^2}+\frac{4 i \sqrt{\cosh (a+b x)} \sqrt{\text{sech}(a+b x)} E\left(\left.\frac{1}{2} i (a+b x)\right|2\right)}{3 b^2}-\frac{2 x \text{sech}^{\frac{3}{2}}(a+b x)}{3 b}",1,"(((4*I)/3)*Sqrt[Cosh[a + b*x]]*EllipticE[(I/2)*(a + b*x), 2]*Sqrt[Sech[a + b*x]])/b^2 - (2*x*Sech[a + b*x]^(3/2))/(3*b) + (4*Sqrt[Sech[a + b*x]]*Sinh[a + b*x])/(3*b^2)","A",4,4,18,0.2222,1,"{5444, 3768, 3771, 2639}"
539,1,57,0,0.0386573,"\int x \text{sech}^{\frac{3}{2}}(a+b x) \sinh (a+b x) \, dx","Int[x*Sech[a + b*x]^(3/2)*Sinh[a + b*x],x]","-\frac{2 x \sqrt{\text{sech}(a+b x)}}{b}-\frac{4 i \sqrt{\cosh (a+b x)} \sqrt{\text{sech}(a+b x)} F\left(\left.\frac{1}{2} i (a+b x)\right|2\right)}{b^2}","-\frac{2 x \sqrt{\text{sech}(a+b x)}}{b}-\frac{4 i \sqrt{\cosh (a+b x)} \sqrt{\text{sech}(a+b x)} F\left(\left.\frac{1}{2} i (a+b x)\right|2\right)}{b^2}",1,"(-2*x*Sqrt[Sech[a + b*x]])/b - ((4*I)*Sqrt[Cosh[a + b*x]]*EllipticF[(I/2)*(a + b*x), 2]*Sqrt[Sech[a + b*x]])/b^2","A",3,3,18,0.1667,1,"{5444, 3771, 2641}"
540,1,57,0,0.039545,"\int x \sqrt{\text{sech}(a+b x)} \sinh (a+b x) \, dx","Int[x*Sqrt[Sech[a + b*x]]*Sinh[a + b*x],x]","\frac{2 x}{b \sqrt{\text{sech}(a+b x)}}+\frac{4 i \sqrt{\cosh (a+b x)} \sqrt{\text{sech}(a+b x)} E\left(\left.\frac{1}{2} i (a+b x)\right|2\right)}{b^2}","\frac{2 x}{b \sqrt{\text{sech}(a+b x)}}+\frac{4 i \sqrt{\cosh (a+b x)} \sqrt{\text{sech}(a+b x)} E\left(\left.\frac{1}{2} i (a+b x)\right|2\right)}{b^2}",1,"(2*x)/(b*Sqrt[Sech[a + b*x]]) + ((4*I)*Sqrt[Cosh[a + b*x]]*EllipticE[(I/2)*(a + b*x), 2]*Sqrt[Sech[a + b*x]])/b^2","A",3,3,18,0.1667,1,"{5444, 3771, 2639}"
541,1,84,0,0.0520962,"\int \frac{x \sinh (a+b x)}{\sqrt{\text{sech}(a+b x)}} \, dx","Int[(x*Sinh[a + b*x])/Sqrt[Sech[a + b*x]],x]","-\frac{4 \sinh (a+b x)}{9 b^2 \sqrt{\text{sech}(a+b x)}}+\frac{4 i \sqrt{\cosh (a+b x)} \sqrt{\text{sech}(a+b x)} F\left(\left.\frac{1}{2} i (a+b x)\right|2\right)}{9 b^2}+\frac{2 x}{3 b \text{sech}^{\frac{3}{2}}(a+b x)}","-\frac{4 \sinh (a+b x)}{9 b^2 \sqrt{\text{sech}(a+b x)}}+\frac{4 i \sqrt{\cosh (a+b x)} \sqrt{\text{sech}(a+b x)} F\left(\left.\frac{1}{2} i (a+b x)\right|2\right)}{9 b^2}+\frac{2 x}{3 b \text{sech}^{\frac{3}{2}}(a+b x)}",1,"(2*x)/(3*b*Sech[a + b*x]^(3/2)) + (((4*I)/9)*Sqrt[Cosh[a + b*x]]*EllipticF[(I/2)*(a + b*x), 2]*Sqrt[Sech[a + b*x]])/b^2 - (4*Sinh[a + b*x])/(9*b^2*Sqrt[Sech[a + b*x]])","A",4,4,18,0.2222,1,"{5444, 3769, 3771, 2641}"
542,1,84,0,0.0534484,"\int \frac{x \sinh (a+b x)}{\text{sech}^{\frac{3}{2}}(a+b x)} \, dx","Int[(x*Sinh[a + b*x])/Sech[a + b*x]^(3/2),x]","-\frac{4 \sinh (a+b x)}{25 b^2 \text{sech}^{\frac{3}{2}}(a+b x)}+\frac{12 i \sqrt{\cosh (a+b x)} \sqrt{\text{sech}(a+b x)} E\left(\left.\frac{1}{2} i (a+b x)\right|2\right)}{25 b^2}+\frac{2 x}{5 b \text{sech}^{\frac{5}{2}}(a+b x)}","-\frac{4 \sinh (a+b x)}{25 b^2 \text{sech}^{\frac{3}{2}}(a+b x)}+\frac{12 i \sqrt{\cosh (a+b x)} \sqrt{\text{sech}(a+b x)} E\left(\left.\frac{1}{2} i (a+b x)\right|2\right)}{25 b^2}+\frac{2 x}{5 b \text{sech}^{\frac{5}{2}}(a+b x)}",1,"(2*x)/(5*b*Sech[a + b*x]^(5/2)) + (((12*I)/25)*Sqrt[Cosh[a + b*x]]*EllipticE[(I/2)*(a + b*x), 2]*Sqrt[Sech[a + b*x]])/b^2 - (4*Sinh[a + b*x])/(25*b^2*Sech[a + b*x]^(3/2))","A",4,4,18,0.2222,1,"{5444, 3769, 3771, 2639}"
543,1,107,0,0.069102,"\int \frac{x \sinh (a+b x)}{\text{sech}^{\frac{5}{2}}(a+b x)} \, dx","Int[(x*Sinh[a + b*x])/Sech[a + b*x]^(5/2),x]","-\frac{4 \sinh (a+b x)}{49 b^2 \text{sech}^{\frac{5}{2}}(a+b x)}-\frac{20 \sinh (a+b x)}{147 b^2 \sqrt{\text{sech}(a+b x)}}+\frac{20 i \sqrt{\cosh (a+b x)} \sqrt{\text{sech}(a+b x)} F\left(\left.\frac{1}{2} i (a+b x)\right|2\right)}{147 b^2}+\frac{2 x}{7 b \text{sech}^{\frac{7}{2}}(a+b x)}","-\frac{4 \sinh (a+b x)}{49 b^2 \text{sech}^{\frac{5}{2}}(a+b x)}-\frac{20 \sinh (a+b x)}{147 b^2 \sqrt{\text{sech}(a+b x)}}+\frac{20 i \sqrt{\cosh (a+b x)} \sqrt{\text{sech}(a+b x)} F\left(\left.\frac{1}{2} i (a+b x)\right|2\right)}{147 b^2}+\frac{2 x}{7 b \text{sech}^{\frac{7}{2}}(a+b x)}",1,"(2*x)/(7*b*Sech[a + b*x]^(7/2)) + (((20*I)/147)*Sqrt[Cosh[a + b*x]]*EllipticF[(I/2)*(a + b*x), 2]*Sqrt[Sech[a + b*x]])/b^2 - (4*Sinh[a + b*x])/(49*b^2*Sech[a + b*x]^(5/2)) - (20*Sinh[a + b*x])/(147*b^2*Sqrt[Sech[a + b*x]])","A",5,4,18,0.2222,1,"{5444, 3769, 3771, 2641}"
544,1,121,0,0.0702647,"\int x \cosh (a+b x) \sinh ^{\frac{5}{2}}(a+b x) \, dx","Int[x*Cosh[a + b*x]*Sinh[a + b*x]^(5/2),x]","-\frac{4 \sinh ^{\frac{5}{2}}(a+b x) \cosh (a+b x)}{49 b^2}+\frac{20 \sqrt{\sinh (a+b x)} \cosh (a+b x)}{147 b^2}+\frac{20 i \sqrt{i \sinh (a+b x)} F\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{147 b^2 \sqrt{\sinh (a+b x)}}+\frac{2 x \sinh ^{\frac{7}{2}}(a+b x)}{7 b}","-\frac{4 \sinh ^{\frac{5}{2}}(a+b x) \cosh (a+b x)}{49 b^2}+\frac{20 \sqrt{\sinh (a+b x)} \cosh (a+b x)}{147 b^2}+\frac{20 i \sqrt{i \sinh (a+b x)} F\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{147 b^2 \sqrt{\sinh (a+b x)}}+\frac{2 x \sinh ^{\frac{7}{2}}(a+b x)}{7 b}",1,"(((20*I)/147)*EllipticF[(I*a - Pi/2 + I*b*x)/2, 2]*Sqrt[I*Sinh[a + b*x]])/(b^2*Sqrt[Sinh[a + b*x]]) + (20*Cosh[a + b*x]*Sqrt[Sinh[a + b*x]])/(147*b^2) - (4*Cosh[a + b*x]*Sinh[a + b*x]^(5/2))/(49*b^2) + (2*x*Sinh[a + b*x]^(7/2))/(7*b)","A",5,4,18,0.2222,1,"{5372, 2635, 2642, 2641}"
545,1,98,0,0.0524617,"\int x \cosh (a+b x) \sinh ^{\frac{3}{2}}(a+b x) \, dx","Int[x*Cosh[a + b*x]*Sinh[a + b*x]^(3/2),x]","-\frac{4 \sinh ^{\frac{3}{2}}(a+b x) \cosh (a+b x)}{25 b^2}-\frac{12 i \sqrt{\sinh (a+b x)} E\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{25 b^2 \sqrt{i \sinh (a+b x)}}+\frac{2 x \sinh ^{\frac{5}{2}}(a+b x)}{5 b}","-\frac{4 \sinh ^{\frac{3}{2}}(a+b x) \cosh (a+b x)}{25 b^2}-\frac{12 i \sqrt{\sinh (a+b x)} E\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{25 b^2 \sqrt{i \sinh (a+b x)}}+\frac{2 x \sinh ^{\frac{5}{2}}(a+b x)}{5 b}",1,"(((-12*I)/25)*EllipticE[(I*a - Pi/2 + I*b*x)/2, 2]*Sqrt[Sinh[a + b*x]])/(b^2*Sqrt[I*Sinh[a + b*x]]) - (4*Cosh[a + b*x]*Sinh[a + b*x]^(3/2))/(25*b^2) + (2*x*Sinh[a + b*x]^(5/2))/(5*b)","A",4,4,18,0.2222,1,"{5372, 2635, 2640, 2639}"
546,1,98,0,0.0530854,"\int x \cosh (a+b x) \sqrt{\sinh (a+b x)} \, dx","Int[x*Cosh[a + b*x]*Sqrt[Sinh[a + b*x]],x]","-\frac{4 \sqrt{\sinh (a+b x)} \cosh (a+b x)}{9 b^2}-\frac{4 i \sqrt{i \sinh (a+b x)} F\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{9 b^2 \sqrt{\sinh (a+b x)}}+\frac{2 x \sinh ^{\frac{3}{2}}(a+b x)}{3 b}","-\frac{4 \sqrt{\sinh (a+b x)} \cosh (a+b x)}{9 b^2}-\frac{4 i \sqrt{i \sinh (a+b x)} F\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{9 b^2 \sqrt{\sinh (a+b x)}}+\frac{2 x \sinh ^{\frac{3}{2}}(a+b x)}{3 b}",1,"(((-4*I)/9)*EllipticF[(I*a - Pi/2 + I*b*x)/2, 2]*Sqrt[I*Sinh[a + b*x]])/(b^2*Sqrt[Sinh[a + b*x]]) - (4*Cosh[a + b*x]*Sqrt[Sinh[a + b*x]])/(9*b^2) + (2*x*Sinh[a + b*x]^(3/2))/(3*b)","A",4,4,18,0.2222,1,"{5372, 2635, 2642, 2641}"
547,1,71,0,0.03856,"\int \frac{x \cosh (a+b x)}{\sqrt{\sinh (a+b x)}} \, dx","Int[(x*Cosh[a + b*x])/Sqrt[Sinh[a + b*x]],x]","\frac{2 x \sqrt{\sinh (a+b x)}}{b}+\frac{4 i \sqrt{\sinh (a+b x)} E\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{b^2 \sqrt{i \sinh (a+b x)}}","\frac{2 x \sqrt{\sinh (a+b x)}}{b}+\frac{4 i \sqrt{\sinh (a+b x)} E\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{b^2 \sqrt{i \sinh (a+b x)}}",1,"(2*x*Sqrt[Sinh[a + b*x]])/b + ((4*I)*EllipticE[(I*a - Pi/2 + I*b*x)/2, 2]*Sqrt[Sinh[a + b*x]])/(b^2*Sqrt[I*Sinh[a + b*x]])","A",3,3,18,0.1667,1,"{5372, 2640, 2639}"
548,1,71,0,0.0395053,"\int \frac{x \cosh (a+b x)}{\sinh ^{\frac{3}{2}}(a+b x)} \, dx","Int[(x*Cosh[a + b*x])/Sinh[a + b*x]^(3/2),x]","-\frac{2 x}{b \sqrt{\sinh (a+b x)}}-\frac{4 i \sqrt{i \sinh (a+b x)} F\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{b^2 \sqrt{\sinh (a+b x)}}","-\frac{2 x}{b \sqrt{\sinh (a+b x)}}-\frac{4 i \sqrt{i \sinh (a+b x)} F\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{b^2 \sqrt{\sinh (a+b x)}}",1,"(-2*x)/(b*Sqrt[Sinh[a + b*x]]) - ((4*I)*EllipticF[(I*a - Pi/2 + I*b*x)/2, 2]*Sqrt[I*Sinh[a + b*x]])/(b^2*Sqrt[Sinh[a + b*x]])","A",3,3,18,0.1667,1,"{5372, 2642, 2641}"
549,1,98,0,0.0516689,"\int \frac{x \cosh (a+b x)}{\sinh ^{\frac{5}{2}}(a+b x)} \, dx","Int[(x*Cosh[a + b*x])/Sinh[a + b*x]^(5/2),x]","-\frac{4 \cosh (a+b x)}{3 b^2 \sqrt{\sinh (a+b x)}}-\frac{4 i \sqrt{\sinh (a+b x)} E\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{3 b^2 \sqrt{i \sinh (a+b x)}}-\frac{2 x}{3 b \sinh ^{\frac{3}{2}}(a+b x)}","-\frac{4 \cosh (a+b x)}{3 b^2 \sqrt{\sinh (a+b x)}}-\frac{4 i \sqrt{\sinh (a+b x)} E\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{3 b^2 \sqrt{i \sinh (a+b x)}}-\frac{2 x}{3 b \sinh ^{\frac{3}{2}}(a+b x)}",1,"(-2*x)/(3*b*Sinh[a + b*x]^(3/2)) - (4*Cosh[a + b*x])/(3*b^2*Sqrt[Sinh[a + b*x]]) - (((4*I)/3)*EllipticE[(I*a - Pi/2 + I*b*x)/2, 2]*Sqrt[Sinh[a + b*x]])/(b^2*Sqrt[I*Sinh[a + b*x]])","A",4,4,18,0.2222,1,"{5372, 2636, 2640, 2639}"
550,1,98,0,0.0530723,"\int \frac{x \cosh (a+b x)}{\sinh ^{\frac{7}{2}}(a+b x)} \, dx","Int[(x*Cosh[a + b*x])/Sinh[a + b*x]^(7/2),x]","-\frac{4 \cosh (a+b x)}{15 b^2 \sinh ^{\frac{3}{2}}(a+b x)}+\frac{4 i \sqrt{i \sinh (a+b x)} F\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{15 b^2 \sqrt{\sinh (a+b x)}}-\frac{2 x}{5 b \sinh ^{\frac{5}{2}}(a+b x)}","-\frac{4 \cosh (a+b x)}{15 b^2 \sinh ^{\frac{3}{2}}(a+b x)}+\frac{4 i \sqrt{i \sinh (a+b x)} F\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{15 b^2 \sqrt{\sinh (a+b x)}}-\frac{2 x}{5 b \sinh ^{\frac{5}{2}}(a+b x)}",1,"(-2*x)/(5*b*Sinh[a + b*x]^(5/2)) - (4*Cosh[a + b*x])/(15*b^2*Sinh[a + b*x]^(3/2)) + (((4*I)/15)*EllipticF[(I*a - Pi/2 + I*b*x)/2, 2]*Sqrt[I*Sinh[a + b*x]])/(b^2*Sqrt[Sinh[a + b*x]])","A",4,4,18,0.2222,1,"{5372, 2636, 2642, 2641}"
551,1,121,0,0.065694,"\int \frac{x \cosh (a+b x)}{\sinh ^{\frac{9}{2}}(a+b x)} \, dx","Int[(x*Cosh[a + b*x])/Sinh[a + b*x]^(9/2),x]","-\frac{4 \cosh (a+b x)}{35 b^2 \sinh ^{\frac{5}{2}}(a+b x)}+\frac{12 \cosh (a+b x)}{35 b^2 \sqrt{\sinh (a+b x)}}+\frac{12 i \sqrt{\sinh (a+b x)} E\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{35 b^2 \sqrt{i \sinh (a+b x)}}-\frac{2 x}{7 b \sinh ^{\frac{7}{2}}(a+b x)}","-\frac{4 \cosh (a+b x)}{35 b^2 \sinh ^{\frac{5}{2}}(a+b x)}+\frac{12 \cosh (a+b x)}{35 b^2 \sqrt{\sinh (a+b x)}}+\frac{12 i \sqrt{\sinh (a+b x)} E\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{35 b^2 \sqrt{i \sinh (a+b x)}}-\frac{2 x}{7 b \sinh ^{\frac{7}{2}}(a+b x)}",1,"(-2*x)/(7*b*Sinh[a + b*x]^(7/2)) - (4*Cosh[a + b*x])/(35*b^2*Sinh[a + b*x]^(5/2)) + (12*Cosh[a + b*x])/(35*b^2*Sqrt[Sinh[a + b*x]]) + (((12*I)/35)*EllipticE[(I*a - Pi/2 + I*b*x)/2, 2]*Sqrt[Sinh[a + b*x]])/(b^2*Sqrt[I*Sinh[a + b*x]])","A",5,4,18,0.2222,1,"{5372, 2636, 2640, 2639}"
552,1,121,0,0.0661242,"\int x \cosh (a+b x) \text{csch}^{\frac{9}{2}}(a+b x) \, dx","Int[x*Cosh[a + b*x]*Csch[a + b*x]^(9/2),x]","-\frac{4 \cosh (a+b x) \text{csch}^{\frac{5}{2}}(a+b x)}{35 b^2}+\frac{12 \cosh (a+b x) \sqrt{\text{csch}(a+b x)}}{35 b^2}+\frac{12 i E\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{35 b^2 \sqrt{i \sinh (a+b x)} \sqrt{\text{csch}(a+b x)}}-\frac{2 x \text{csch}^{\frac{7}{2}}(a+b x)}{7 b}","-\frac{4 \cosh (a+b x) \text{csch}^{\frac{5}{2}}(a+b x)}{35 b^2}+\frac{12 \cosh (a+b x) \sqrt{\text{csch}(a+b x)}}{35 b^2}+\frac{12 i E\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{35 b^2 \sqrt{i \sinh (a+b x)} \sqrt{\text{csch}(a+b x)}}-\frac{2 x \text{csch}^{\frac{7}{2}}(a+b x)}{7 b}",1,"(12*Cosh[a + b*x]*Sqrt[Csch[a + b*x]])/(35*b^2) - (4*Cosh[a + b*x]*Csch[a + b*x]^(5/2))/(35*b^2) - (2*x*Csch[a + b*x]^(7/2))/(7*b) + (((12*I)/35)*EllipticE[(I*a - Pi/2 + I*b*x)/2, 2])/(b^2*Sqrt[Csch[a + b*x]]*Sqrt[I*Sinh[a + b*x]])","A",5,4,18,0.2222,1,"{5445, 3768, 3771, 2639}"
553,1,98,0,0.0532232,"\int x \cosh (a+b x) \text{csch}^{\frac{7}{2}}(a+b x) \, dx","Int[x*Cosh[a + b*x]*Csch[a + b*x]^(7/2),x]","-\frac{4 \cosh (a+b x) \text{csch}^{\frac{3}{2}}(a+b x)}{15 b^2}+\frac{4 i \sqrt{i \sinh (a+b x)} \sqrt{\text{csch}(a+b x)} F\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{15 b^2}-\frac{2 x \text{csch}^{\frac{5}{2}}(a+b x)}{5 b}","-\frac{4 \cosh (a+b x) \text{csch}^{\frac{3}{2}}(a+b x)}{15 b^2}+\frac{4 i \sqrt{i \sinh (a+b x)} \sqrt{\text{csch}(a+b x)} F\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{15 b^2}-\frac{2 x \text{csch}^{\frac{5}{2}}(a+b x)}{5 b}",1,"(-4*Cosh[a + b*x]*Csch[a + b*x]^(3/2))/(15*b^2) - (2*x*Csch[a + b*x]^(5/2))/(5*b) + (((4*I)/15)*Sqrt[Csch[a + b*x]]*EllipticF[(I*a - Pi/2 + I*b*x)/2, 2]*Sqrt[I*Sinh[a + b*x]])/b^2","A",4,4,18,0.2222,1,"{5445, 3768, 3771, 2641}"
554,1,98,0,0.0507373,"\int x \cosh (a+b x) \text{csch}^{\frac{5}{2}}(a+b x) \, dx","Int[x*Cosh[a + b*x]*Csch[a + b*x]^(5/2),x]","-\frac{4 \cosh (a+b x) \sqrt{\text{csch}(a+b x)}}{3 b^2}-\frac{4 i E\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{3 b^2 \sqrt{i \sinh (a+b x)} \sqrt{\text{csch}(a+b x)}}-\frac{2 x \text{csch}^{\frac{3}{2}}(a+b x)}{3 b}","-\frac{4 \cosh (a+b x) \sqrt{\text{csch}(a+b x)}}{3 b^2}-\frac{4 i E\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{3 b^2 \sqrt{i \sinh (a+b x)} \sqrt{\text{csch}(a+b x)}}-\frac{2 x \text{csch}^{\frac{3}{2}}(a+b x)}{3 b}",1,"(-4*Cosh[a + b*x]*Sqrt[Csch[a + b*x]])/(3*b^2) - (2*x*Csch[a + b*x]^(3/2))/(3*b) - (((4*I)/3)*EllipticE[(I*a - Pi/2 + I*b*x)/2, 2])/(b^2*Sqrt[Csch[a + b*x]]*Sqrt[I*Sinh[a + b*x]])","A",4,4,18,0.2222,1,"{5445, 3768, 3771, 2639}"
555,1,71,0,0.0416293,"\int x \cosh (a+b x) \text{csch}^{\frac{3}{2}}(a+b x) \, dx","Int[x*Cosh[a + b*x]*Csch[a + b*x]^(3/2),x]","-\frac{2 x \sqrt{\text{csch}(a+b x)}}{b}-\frac{4 i \sqrt{i \sinh (a+b x)} \sqrt{\text{csch}(a+b x)} F\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{b^2}","-\frac{2 x \sqrt{\text{csch}(a+b x)}}{b}-\frac{4 i \sqrt{i \sinh (a+b x)} \sqrt{\text{csch}(a+b x)} F\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{b^2}",1,"(-2*x*Sqrt[Csch[a + b*x]])/b - ((4*I)*Sqrt[Csch[a + b*x]]*EllipticF[(I*a - Pi/2 + I*b*x)/2, 2]*Sqrt[I*Sinh[a + b*x]])/b^2","A",3,3,18,0.1667,1,"{5445, 3771, 2641}"
556,1,71,0,0.0405722,"\int x \cosh (a+b x) \sqrt{\text{csch}(a+b x)} \, dx","Int[x*Cosh[a + b*x]*Sqrt[Csch[a + b*x]],x]","\frac{2 x}{b \sqrt{\text{csch}(a+b x)}}+\frac{4 i E\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{b^2 \sqrt{i \sinh (a+b x)} \sqrt{\text{csch}(a+b x)}}","\frac{2 x}{b \sqrt{\text{csch}(a+b x)}}+\frac{4 i E\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{b^2 \sqrt{i \sinh (a+b x)} \sqrt{\text{csch}(a+b x)}}",1,"(2*x)/(b*Sqrt[Csch[a + b*x]]) + ((4*I)*EllipticE[(I*a - Pi/2 + I*b*x)/2, 2])/(b^2*Sqrt[Csch[a + b*x]]*Sqrt[I*Sinh[a + b*x]])","A",3,3,18,0.1667,1,"{5445, 3771, 2639}"
557,1,98,0,0.0543573,"\int \frac{x \cosh (a+b x)}{\sqrt{\text{csch}(a+b x)}} \, dx","Int[(x*Cosh[a + b*x])/Sqrt[Csch[a + b*x]],x]","-\frac{4 \cosh (a+b x)}{9 b^2 \sqrt{\text{csch}(a+b x)}}-\frac{4 i \sqrt{i \sinh (a+b x)} \sqrt{\text{csch}(a+b x)} F\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{9 b^2}+\frac{2 x}{3 b \text{csch}^{\frac{3}{2}}(a+b x)}","-\frac{4 \cosh (a+b x)}{9 b^2 \sqrt{\text{csch}(a+b x)}}-\frac{4 i \sqrt{i \sinh (a+b x)} \sqrt{\text{csch}(a+b x)} F\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{9 b^2}+\frac{2 x}{3 b \text{csch}^{\frac{3}{2}}(a+b x)}",1,"(2*x)/(3*b*Csch[a + b*x]^(3/2)) - (4*Cosh[a + b*x])/(9*b^2*Sqrt[Csch[a + b*x]]) - (((4*I)/9)*Sqrt[Csch[a + b*x]]*EllipticF[(I*a - Pi/2 + I*b*x)/2, 2]*Sqrt[I*Sinh[a + b*x]])/b^2","A",4,4,18,0.2222,1,"{5445, 3769, 3771, 2641}"
558,1,98,0,0.0527631,"\int \frac{x \cosh (a+b x)}{\text{csch}^{\frac{3}{2}}(a+b x)} \, dx","Int[(x*Cosh[a + b*x])/Csch[a + b*x]^(3/2),x]","-\frac{4 \cosh (a+b x)}{25 b^2 \text{csch}^{\frac{3}{2}}(a+b x)}-\frac{12 i E\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{25 b^2 \sqrt{i \sinh (a+b x)} \sqrt{\text{csch}(a+b x)}}+\frac{2 x}{5 b \text{csch}^{\frac{5}{2}}(a+b x)}","-\frac{4 \cosh (a+b x)}{25 b^2 \text{csch}^{\frac{3}{2}}(a+b x)}-\frac{12 i E\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{25 b^2 \sqrt{i \sinh (a+b x)} \sqrt{\text{csch}(a+b x)}}+\frac{2 x}{5 b \text{csch}^{\frac{5}{2}}(a+b x)}",1,"(2*x)/(5*b*Csch[a + b*x]^(5/2)) - (4*Cosh[a + b*x])/(25*b^2*Csch[a + b*x]^(3/2)) - (((12*I)/25)*EllipticE[(I*a - Pi/2 + I*b*x)/2, 2])/(b^2*Sqrt[Csch[a + b*x]]*Sqrt[I*Sinh[a + b*x]])","A",4,4,18,0.2222,1,"{5445, 3769, 3771, 2639}"
559,1,121,0,0.0688958,"\int \frac{x \cosh (a+b x)}{\text{csch}^{\frac{5}{2}}(a+b x)} \, dx","Int[(x*Cosh[a + b*x])/Csch[a + b*x]^(5/2),x]","-\frac{4 \cosh (a+b x)}{49 b^2 \text{csch}^{\frac{5}{2}}(a+b x)}+\frac{20 \cosh (a+b x)}{147 b^2 \sqrt{\text{csch}(a+b x)}}+\frac{20 i \sqrt{i \sinh (a+b x)} \sqrt{\text{csch}(a+b x)} F\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{147 b^2}+\frac{2 x}{7 b \text{csch}^{\frac{7}{2}}(a+b x)}","-\frac{4 \cosh (a+b x)}{49 b^2 \text{csch}^{\frac{5}{2}}(a+b x)}+\frac{20 \cosh (a+b x)}{147 b^2 \sqrt{\text{csch}(a+b x)}}+\frac{20 i \sqrt{i \sinh (a+b x)} \sqrt{\text{csch}(a+b x)} F\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{147 b^2}+\frac{2 x}{7 b \text{csch}^{\frac{7}{2}}(a+b x)}",1,"(2*x)/(7*b*Csch[a + b*x]^(7/2)) - (4*Cosh[a + b*x])/(49*b^2*Csch[a + b*x]^(5/2)) + (20*Cosh[a + b*x])/(147*b^2*Sqrt[Csch[a + b*x]]) + (((20*I)/147)*Sqrt[Csch[a + b*x]]*EllipticF[(I*a - Pi/2 + I*b*x)/2, 2]*Sqrt[I*Sinh[a + b*x]])/b^2","A",5,4,18,0.2222,1,"{5445, 3769, 3771, 2641}"
560,1,13,0,0.0504159,"\int \sqrt{\sinh (x) \tanh (x)} \, dx","Int[Sqrt[Sinh[x]*Tanh[x]],x]","2 \coth (x) \sqrt{\sinh (x) \tanh (x)}","2 \coth (x) \sqrt{\sinh (x) \tanh (x)}",1,"2*Coth[x]*Sqrt[Sinh[x]*Tanh[x]]","A",3,3,9,0.3333,1,"{4398, 4400, 2589}"
561,1,31,0,0.08793,"\int (\sinh (x) \tanh (x))^{3/2} \, dx","Int[(Sinh[x]*Tanh[x])^(3/2),x]","\frac{2}{3} \sinh (x) \sqrt{\sinh (x) \tanh (x)}+\frac{8}{3} \text{csch}(x) \sqrt{\sinh (x) \tanh (x)}","\frac{2}{3} \sinh (x) \sqrt{\sinh (x) \tanh (x)}+\frac{8}{3} \text{csch}(x) \sqrt{\sinh (x) \tanh (x)}",1,"(8*Csch[x]*Sqrt[Sinh[x]*Tanh[x]])/3 + (2*Sinh[x]*Sqrt[Sinh[x]*Tanh[x]])/3","A",4,4,9,0.4444,1,"{4398, 4400, 2598, 2589}"
562,1,50,0,0.1178178,"\int (\sinh (x) \tanh (x))^{5/2} \, dx","Int[(Sinh[x]*Tanh[x])^(5/2),x]","\frac{2}{5} \sinh ^2(x) \tanh (x) \sqrt{\sinh (x) \tanh (x)}+\frac{16}{15} \tanh (x) \sqrt{\sinh (x) \tanh (x)}-\frac{64}{15} \coth (x) \sqrt{\sinh (x) \tanh (x)}","\frac{2}{5} \sinh ^2(x) \tanh (x) \sqrt{\sinh (x) \tanh (x)}+\frac{16}{15} \tanh (x) \sqrt{\sinh (x) \tanh (x)}-\frac{64}{15} \coth (x) \sqrt{\sinh (x) \tanh (x)}",1,"(-64*Coth[x]*Sqrt[Sinh[x]*Tanh[x]])/15 + (16*Tanh[x]*Sqrt[Sinh[x]*Tanh[x]])/15 + (2*Sinh[x]^2*Tanh[x]*Sqrt[Sinh[x]*Tanh[x]])/5","A",5,5,9,0.5556,1,"{4398, 4400, 2598, 2594, 2589}"
563,1,13,0,0.0525148,"\int \sqrt{\cosh (x) \coth (x)} \, dx","Int[Sqrt[Cosh[x]*Coth[x]],x]","2 \tanh (x) \sqrt{\cosh (x) \coth (x)}","2 \tanh (x) \sqrt{\cosh (x) \coth (x)}",1,"2*Sqrt[Cosh[x]*Coth[x]]*Tanh[x]","A",3,3,9,0.3333,1,"{4398, 4400, 2589}"
564,1,31,0,0.0969951,"\int (\cosh (x) \coth (x))^{3/2} \, dx","Int[(Cosh[x]*Coth[x])^(3/2),x]","\frac{2}{3} \cosh (x) \sqrt{\cosh (x) \coth (x)}-\frac{8}{3} \text{sech}(x) \sqrt{\cosh (x) \coth (x)}","\frac{2}{3} \cosh (x) \sqrt{\cosh (x) \coth (x)}-\frac{8}{3} \text{sech}(x) \sqrt{\cosh (x) \coth (x)}",1,"(2*Cosh[x]*Sqrt[Cosh[x]*Coth[x]])/3 - (8*Sqrt[Cosh[x]*Coth[x]]*Sech[x])/3","A",4,4,9,0.4444,1,"{4398, 4400, 2598, 2589}"
565,1,50,0,0.1316472,"\int (\cosh (x) \coth (x))^{5/2} \, dx","Int[(Cosh[x]*Coth[x])^(5/2),x]","\frac{2}{5} \cosh ^2(x) \coth (x) \sqrt{\cosh (x) \coth (x)}-\frac{16}{15} \coth (x) \sqrt{\cosh (x) \coth (x)}+\frac{64}{15} \tanh (x) \sqrt{\cosh (x) \coth (x)}","\frac{2}{5} \cosh ^2(x) \coth (x) \sqrt{\cosh (x) \coth (x)}-\frac{16}{15} \coth (x) \sqrt{\cosh (x) \coth (x)}+\frac{64}{15} \tanh (x) \sqrt{\cosh (x) \coth (x)}",1,"(-16*Coth[x]*Sqrt[Cosh[x]*Coth[x]])/15 + (2*Cosh[x]^2*Coth[x]*Sqrt[Cosh[x]*Coth[x]])/5 + (64*Sqrt[Cosh[x]*Coth[x]]*Tanh[x])/15","A",5,5,9,0.5556,1,"{4398, 4400, 2598, 2594, 2589}"
566,1,52,0,0.1324355,"\int \frac{b+c+\cosh (x)}{a+b \sinh (x)} \, dx","Int[(b + c + Cosh[x])/(a + b*Sinh[x]),x]","\frac{\log (a+b \sinh (x))}{b}-\frac{2 (b+c) \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{\sqrt{a^2+b^2}}","\frac{\log (a+b \sinh (x))}{b}-\frac{2 (b+c) \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{\sqrt{a^2+b^2}}",1,"(-2*(b + c)*ArcTanh[(b - a*Tanh[x/2])/Sqrt[a^2 + b^2]])/Sqrt[a^2 + b^2] + Log[a + b*Sinh[x]]/b","A",7,6,14,0.4286,1,"{4401, 2660, 618, 206, 2668, 31}"
567,1,53,0,0.1327225,"\int \frac{b+c+\cosh (x)}{a-b \sinh (x)} \, dx","Int[(b + c + Cosh[x])/(a - b*Sinh[x]),x]","\frac{2 (b+c) \tanh ^{-1}\left(\frac{a \tanh \left(\frac{x}{2}\right)+b}{\sqrt{a^2+b^2}}\right)}{\sqrt{a^2+b^2}}-\frac{\log (a-b \sinh (x))}{b}","\frac{2 (b+c) \tanh ^{-1}\left(\frac{a \tanh \left(\frac{x}{2}\right)+b}{\sqrt{a^2+b^2}}\right)}{\sqrt{a^2+b^2}}-\frac{\log (a-b \sinh (x))}{b}",1,"(2*(b + c)*ArcTanh[(b + a*Tanh[x/2])/Sqrt[a^2 + b^2]])/Sqrt[a^2 + b^2] - Log[a - b*Sinh[x]]/b","A",7,6,15,0.4000,1,"{4401, 2660, 618, 206, 2668, 31}"
568,1,57,0,0.1327196,"\int \frac{b+c+\sinh (x)}{a+b \cosh (x)} \, dx","Int[(b + c + Sinh[x])/(a + b*Cosh[x]),x]","\frac{2 (b+c) \tanh ^{-1}\left(\frac{\sqrt{a-b} \tanh \left(\frac{x}{2}\right)}{\sqrt{a+b}}\right)}{\sqrt{a-b} \sqrt{a+b}}+\frac{\log (a+b \cosh (x))}{b}","\frac{2 (b+c) \tanh ^{-1}\left(\frac{\sqrt{a-b} \tanh \left(\frac{x}{2}\right)}{\sqrt{a+b}}\right)}{\sqrt{a-b} \sqrt{a+b}}+\frac{\log (a+b \cosh (x))}{b}",1,"(2*(b + c)*ArcTanh[(Sqrt[a - b]*Tanh[x/2])/Sqrt[a + b]])/(Sqrt[a - b]*Sqrt[a + b]) + Log[a + b*Cosh[x]]/b","A",6,5,14,0.3571,1,"{4401, 2659, 208, 2668, 31}"
569,1,59,0,0.1399802,"\int \frac{b+c+\sinh (x)}{a-b \cosh (x)} \, dx","Int[(b + c + Sinh[x])/(a - b*Cosh[x]),x]","\frac{2 (b+c) \tanh ^{-1}\left(\frac{\sqrt{a+b} \tanh \left(\frac{x}{2}\right)}{\sqrt{a-b}}\right)}{\sqrt{a-b} \sqrt{a+b}}-\frac{\log (a-b \cosh (x))}{b}","\frac{2 (b+c) \tanh ^{-1}\left(\frac{\sqrt{a+b} \tanh \left(\frac{x}{2}\right)}{\sqrt{a-b}}\right)}{\sqrt{a-b} \sqrt{a+b}}-\frac{\log (a-b \cosh (x))}{b}",1,"(2*(b + c)*ArcTanh[(Sqrt[a + b]*Tanh[x/2])/Sqrt[a - b]])/(Sqrt[a - b]*Sqrt[a + b]) - Log[a - b*Cosh[x]]/b","A",6,5,15,0.3333,1,"{4401, 2659, 208, 2668, 31}"
570,1,25,0,0.057565,"\int \frac{x (b-a \sinh (x))}{(a+b \sinh (x))^2} \, dx","Int[(x*(b - a*Sinh[x]))/(a + b*Sinh[x])^2,x]","\frac{\log (a+b \sinh (x))}{b}-\frac{x \cosh (x)}{a+b \sinh (x)}","\frac{\log (a+b \sinh (x))}{b}-\frac{x \cosh (x)}{a+b \sinh (x)}",1,"Log[a + b*Sinh[x]]/b - (x*Cosh[x])/(a + b*Sinh[x])","A",3,3,17,0.1765,1,"{5636, 2668, 31}"
571,1,25,0,0.0579455,"\int \frac{x (b+a \cosh (x))}{(a+b \cosh (x))^2} \, dx","Int[(x*(b + a*Cosh[x]))/(a + b*Cosh[x])^2,x]","\frac{x \sinh (x)}{a+b \cosh (x)}-\frac{\log (a+b \cosh (x))}{b}","\frac{x \sinh (x)}{a+b \cosh (x)}-\frac{\log (a+b \cosh (x))}{b}",1,"-(Log[a + b*Cosh[x]]/b) + (x*Sinh[x])/(a + b*Cosh[x])","A",3,3,16,0.1875,1,"{5637, 2668, 31}"
572,1,62,0,0.1568266,"\int \frac{a+b \text{sech}(x)}{c+d \cosh (x)} \, dx","Int[(a + b*Sech[x])/(c + d*Cosh[x]),x]","\frac{2 (a c-b d) \tanh ^{-1}\left(\frac{\sqrt{c-d} \tanh \left(\frac{x}{2}\right)}{\sqrt{c+d}}\right)}{c \sqrt{c-d} \sqrt{c+d}}+\frac{b \tan ^{-1}(\sinh (x))}{c}","\frac{2 (a c-b d) \tanh ^{-1}\left(\frac{\sqrt{c-d} \tanh \left(\frac{x}{2}\right)}{\sqrt{c+d}}\right)}{c \sqrt{c-d} \sqrt{c+d}}+\frac{b \tan ^{-1}(\sinh (x))}{c}",1,"(b*ArcTan[Sinh[x]])/c + (2*(a*c - b*d)*ArcTanh[(Sqrt[c - d]*Tanh[x/2])/Sqrt[c + d]])/(c*Sqrt[c - d]*Sqrt[c + d])","A",5,5,15,0.3333,1,"{2828, 3001, 3770, 2659, 208}"
573,1,58,0,0.1677883,"\int \frac{a+b \text{csch}(x)}{c+d \sinh (x)} \, dx","Int[(a + b*Csch[x])/(c + d*Sinh[x]),x]","-\frac{2 (a c-b d) \tanh ^{-1}\left(\frac{d-c \tanh \left(\frac{x}{2}\right)}{\sqrt{c^2+d^2}}\right)}{c \sqrt{c^2+d^2}}-\frac{b \tanh ^{-1}(\cosh (x))}{c}","-\frac{2 (a c-b d) \tanh ^{-1}\left(\frac{d-c \tanh \left(\frac{x}{2}\right)}{\sqrt{c^2+d^2}}\right)}{c \sqrt{c^2+d^2}}-\frac{b \tanh ^{-1}(\cosh (x))}{c}",1,"-((b*ArcTanh[Cosh[x]])/c) - (2*(a*c - b*d)*ArcTanh[(d - c*Tanh[x/2])/Sqrt[c^2 + d^2]])/(c*Sqrt[c^2 + d^2])","A",6,6,15,0.4000,1,"{2828, 3001, 3770, 2660, 618, 206}"
574,1,19,0,0.0415577,"\int \frac{1+\sinh ^2(x)}{1-\sinh ^2(x)} \, dx","Int[(1 + Sinh[x]^2)/(1 - Sinh[x]^2),x]","\sqrt{2} \tanh ^{-1}\left(\sqrt{2} \tanh (x)\right)-x","\sqrt{2} \tanh ^{-1}\left(\sqrt{2} \tanh (x)\right)-x",1,"-x + Sqrt[2]*ArcTanh[Sqrt[2]*Tanh[x]]","A",3,3,17,0.1765,1,"{3171, 3181, 206}"
575,1,8,0,0.0418972,"\int \frac{1-\sinh ^2(x)}{1+\sinh ^2(x)} \, dx","Int[(1 - Sinh[x]^2)/(1 + Sinh[x]^2),x]","2 \tanh (x)-x","2 \tanh (x)-x",1,"-x + 2*Tanh[x]","A",4,4,17,0.2353,1,"{3171, 3175, 3767, 8}"
576,1,8,0,0.0433169,"\int \frac{1+\cosh ^2(x)}{1-\cosh ^2(x)} \, dx","Int[(1 + Cosh[x]^2)/(1 - Cosh[x]^2),x]","2 \coth (x)-x","2 \coth (x)-x",1,"-x + 2*Coth[x]","A",4,4,17,0.2353,1,"{3171, 3175, 3767, 8}"
577,1,19,0,0.0394022,"\int \frac{1-\cosh ^2(x)}{1+\cosh ^2(x)} \, dx","Int[(1 - Cosh[x]^2)/(1 + Cosh[x]^2),x]","\sqrt{2} \tanh ^{-1}\left(\frac{\tanh (x)}{\sqrt{2}}\right)-x","\sqrt{2} \tanh ^{-1}\left(\frac{\tanh (x)}{\sqrt{2}}\right)-x",1,"-x + Sqrt[2]*ArcTanh[Tanh[x]/Sqrt[2]]","A",3,3,17,0.1765,1,"{3171, 3181, 206}"
578,1,74,0,0.245407,"\int \frac{a+b \text{sech}^2(x)}{c+d \cosh (x)} \, dx","Int[(a + b*Sech[x]^2)/(c + d*Cosh[x]),x]","\frac{2 \left(a c^2+b d^2\right) \tanh ^{-1}\left(\frac{\sqrt{c-d} \tanh \left(\frac{x}{2}\right)}{\sqrt{c+d}}\right)}{c^2 \sqrt{c-d} \sqrt{c+d}}-\frac{b d \tan ^{-1}(\sinh (x))}{c^2}+\frac{b \tanh (x)}{c}","\frac{2 \left(a c^2+b d^2\right) \tanh ^{-1}\left(\frac{\sqrt{c-d} \tanh \left(\frac{x}{2}\right)}{\sqrt{c+d}}\right)}{c^2 \sqrt{c-d} \sqrt{c+d}}-\frac{b d \tan ^{-1}(\sinh (x))}{c^2}+\frac{b \tanh (x)}{c}",1,"-((b*d*ArcTan[Sinh[x]])/c^2) + (2*(a*c^2 + b*d^2)*ArcTanh[(Sqrt[c - d]*Tanh[x/2])/Sqrt[c + d]])/(c^2*Sqrt[c - d]*Sqrt[c + d]) + (b*Tanh[x])/c","A",6,6,17,0.3529,1,"{4234, 3056, 3001, 3770, 2659, 208}"
579,1,69,0,0.2634403,"\int \frac{a+b \text{csch}^2(x)}{c+d \sinh (x)} \, dx","Int[(a + b*Csch[x]^2)/(c + d*Sinh[x]),x]","-\frac{2 \left(a c^2+b d^2\right) \tanh ^{-1}\left(\frac{d-c \tanh \left(\frac{x}{2}\right)}{\sqrt{c^2+d^2}}\right)}{c^2 \sqrt{c^2+d^2}}+\frac{b d \tanh ^{-1}(\cosh (x))}{c^2}-\frac{b \coth (x)}{c}","-\frac{2 \left(a c^2+b d^2\right) \tanh ^{-1}\left(\frac{d-c \tanh \left(\frac{x}{2}\right)}{\sqrt{c^2+d^2}}\right)}{c^2 \sqrt{c^2+d^2}}+\frac{b d \tanh ^{-1}(\cosh (x))}{c^2}-\frac{b \coth (x)}{c}",1,"(b*d*ArcTanh[Cosh[x]])/c^2 - (2*(a*c^2 + b*d^2)*ArcTanh[(d - c*Tanh[x/2])/Sqrt[c^2 + d^2]])/(c^2*Sqrt[c^2 + d^2]) - (b*Coth[x])/c","A",7,7,17,0.4118,1,"{4233, 3056, 3001, 3770, 2660, 618, 206}"
580,1,9,0,0.0087967,"\int (a \cosh (x)+b \sinh (x)) \, dx","Int[a*Cosh[x] + b*Sinh[x],x]","a \sinh (x)+b \cosh (x)","a \sinh (x)+b \cosh (x)",1,"b*Cosh[x] + a*Sinh[x]","A",3,2,9,0.2222,1,"{2637, 2638}"
581,1,37,0,0.01757,"\int (a \cosh (x)+b \sinh (x))^2 \, dx","Int[(a*Cosh[x] + b*Sinh[x])^2,x]","\frac{1}{2} x \left(a^2-b^2\right)+\frac{1}{2} (a \sinh (x)+b \cosh (x)) (a \cosh (x)+b \sinh (x))","\frac{1}{2} x \left(a^2-b^2\right)+\frac{1}{2} (a \sinh (x)+b \cosh (x)) (a \cosh (x)+b \sinh (x))",1,"((a^2 - b^2)*x)/2 + ((b*Cosh[x] + a*Sinh[x])*(a*Cosh[x] + b*Sinh[x]))/2","A",2,2,11,0.1818,1,"{3073, 8}"
582,1,35,0,0.0248492,"\int (a \cosh (x)+b \sinh (x))^3 \, dx","Int[(a*Cosh[x] + b*Sinh[x])^3,x]","\left(a^2-b^2\right) (a \sinh (x)+b \cosh (x))+\frac{1}{3} (a \sinh (x)+b \cosh (x))^3","\left(a^2-b^2\right) (a \sinh (x)+b \cosh (x))+\frac{1}{3} (a \sinh (x)+b \cosh (x))^3",1,"(a^2 - b^2)*(b*Cosh[x] + a*Sinh[x]) + (b*Cosh[x] + a*Sinh[x])^3/3","A",2,1,11,0.09091,1,"{3072}"
583,1,72,0,0.037078,"\int (a \cosh (x)+b \sinh (x))^4 \, dx","Int[(a*Cosh[x] + b*Sinh[x])^4,x]","\frac{3}{8} x \left(a^2-b^2\right)^2+\frac{3}{8} \left(a^2-b^2\right) (a \sinh (x)+b \cosh (x)) (a \cosh (x)+b \sinh (x))+\frac{1}{4} (a \sinh (x)+b \cosh (x)) (a \cosh (x)+b \sinh (x))^3","\frac{3}{8} x \left(a^2-b^2\right)^2+\frac{3}{8} \left(a^2-b^2\right) (a \sinh (x)+b \cosh (x)) (a \cosh (x)+b \sinh (x))+\frac{1}{4} (a \sinh (x)+b \cosh (x)) (a \cosh (x)+b \sinh (x))^3",1,"(3*(a^2 - b^2)^2*x)/8 + (3*(a^2 - b^2)*(b*Cosh[x] + a*Sinh[x])*(a*Cosh[x] + b*Sinh[x]))/8 + ((b*Cosh[x] + a*Sinh[x])*(a*Cosh[x] + b*Sinh[x])^3)/4","A",3,2,11,0.1818,1,"{3073, 8}"
584,1,61,0,0.0450399,"\int (a \cosh (x)+b \sinh (x))^5 \, dx","Int[(a*Cosh[x] + b*Sinh[x])^5,x]","\frac{2}{3} \left(a^2-b^2\right) (a \sinh (x)+b \cosh (x))^3+\left(a^2-b^2\right)^2 (a \sinh (x)+b \cosh (x))+\frac{1}{5} (a \sinh (x)+b \cosh (x))^5","\frac{2}{3} \left(a^2-b^2\right) (a \sinh (x)+b \cosh (x))^3+\left(a^2-b^2\right)^2 (a \sinh (x)+b \cosh (x))+\frac{1}{5} (a \sinh (x)+b \cosh (x))^5",1,"(a^2 - b^2)^2*(b*Cosh[x] + a*Sinh[x]) + (2*(a^2 - b^2)*(b*Cosh[x] + a*Sinh[x])^3)/3 + (b*Cosh[x] + a*Sinh[x])^5/5","A",3,2,11,0.1818,1,"{3072, 194}"
585,1,38,0,0.0292113,"\int \frac{1}{a \cosh (x)+b \sinh (x)} \, dx","Int[(a*Cosh[x] + b*Sinh[x])^(-1),x]","\frac{\tan ^{-1}\left(\frac{a \sinh (x)+b \cosh (x)}{\sqrt{a^2-b^2}}\right)}{\sqrt{a^2-b^2}}","\frac{\tan ^{-1}\left(\frac{a \sinh (x)+b \cosh (x)}{\sqrt{a^2-b^2}}\right)}{\sqrt{a^2-b^2}}",1,"ArcTan[(b*Cosh[x] + a*Sinh[x])/Sqrt[a^2 - b^2]]/Sqrt[a^2 - b^2]","A",2,2,11,0.1818,1,"{3074, 206}"
586,1,17,0,0.0145181,"\int \frac{1}{(a \cosh (x)+b \sinh (x))^2} \, dx","Int[(a*Cosh[x] + b*Sinh[x])^(-2),x]","\frac{\sinh (x)}{a (a \cosh (x)+b \sinh (x))}","\frac{\sinh (x)}{a (a \cosh (x)+b \sinh (x))}",1,"Sinh[x]/(a*(a*Cosh[x] + b*Sinh[x]))","A",1,1,11,0.09091,1,"{3075}"
587,1,77,0,0.0466193,"\int \frac{1}{(a \cosh (x)+b \sinh (x))^3} \, dx","Int[(a*Cosh[x] + b*Sinh[x])^(-3),x]","\frac{a \sinh (x)+b \cosh (x)}{2 \left(a^2-b^2\right) (a \cosh (x)+b \sinh (x))^2}+\frac{\tan ^{-1}\left(\frac{a \sinh (x)+b \cosh (x)}{\sqrt{a^2-b^2}}\right)}{2 \left(a^2-b^2\right)^{3/2}}","\frac{a \sinh (x)+b \cosh (x)}{2 \left(a^2-b^2\right) (a \cosh (x)+b \sinh (x))^2}+\frac{\tan ^{-1}\left(\frac{a \sinh (x)+b \cosh (x)}{\sqrt{a^2-b^2}}\right)}{2 \left(a^2-b^2\right)^{3/2}}",1,"ArcTan[(b*Cosh[x] + a*Sinh[x])/Sqrt[a^2 - b^2]]/(2*(a^2 - b^2)^(3/2)) + (b*Cosh[x] + a*Sinh[x])/(2*(a^2 - b^2)*(a*Cosh[x] + b*Sinh[x])^2)","A",3,3,11,0.2727,1,"{3076, 3074, 206}"
588,1,67,0,0.0315738,"\int \frac{1}{(a \cosh (x)+b \sinh (x))^4} \, dx","Int[(a*Cosh[x] + b*Sinh[x])^(-4),x]","\frac{2 \sinh (x)}{3 a \left(a^2-b^2\right) (a \cosh (x)+b \sinh (x))}+\frac{a \sinh (x)+b \cosh (x)}{3 \left(a^2-b^2\right) (a \cosh (x)+b \sinh (x))^3}","\frac{2 \sinh (x)}{3 a \left(a^2-b^2\right) (a \cosh (x)+b \sinh (x))}+\frac{a \sinh (x)+b \cosh (x)}{3 \left(a^2-b^2\right) (a \cosh (x)+b \sinh (x))^3}",1,"(b*Cosh[x] + a*Sinh[x])/(3*(a^2 - b^2)*(a*Cosh[x] + b*Sinh[x])^3) + (2*Sinh[x])/(3*a*(a^2 - b^2)*(a*Cosh[x] + b*Sinh[x]))","A",2,2,11,0.1818,1,"{3076, 3075}"
589,1,112,0,0.0686614,"\int \frac{1}{(a \cosh (x)+b \sinh (x))^5} \, dx","Int[(a*Cosh[x] + b*Sinh[x])^(-5),x]","\frac{3 (a \sinh (x)+b \cosh (x))}{8 \left(a^2-b^2\right)^2 (a \cosh (x)+b \sinh (x))^2}+\frac{a \sinh (x)+b \cosh (x)}{4 \left(a^2-b^2\right) (a \cosh (x)+b \sinh (x))^4}+\frac{3 \tan ^{-1}\left(\frac{a \sinh (x)+b \cosh (x)}{\sqrt{a^2-b^2}}\right)}{8 \left(a^2-b^2\right)^{5/2}}","\frac{3 (a \sinh (x)+b \cosh (x))}{8 \left(a^2-b^2\right)^2 (a \cosh (x)+b \sinh (x))^2}+\frac{a \sinh (x)+b \cosh (x)}{4 \left(a^2-b^2\right) (a \cosh (x)+b \sinh (x))^4}+\frac{3 \tan ^{-1}\left(\frac{a \sinh (x)+b \cosh (x)}{\sqrt{a^2-b^2}}\right)}{8 \left(a^2-b^2\right)^{5/2}}",1,"(3*ArcTan[(b*Cosh[x] + a*Sinh[x])/Sqrt[a^2 - b^2]])/(8*(a^2 - b^2)^(5/2)) + (b*Cosh[x] + a*Sinh[x])/(4*(a^2 - b^2)*(a*Cosh[x] + b*Sinh[x])^4) + (3*(b*Cosh[x] + a*Sinh[x]))/(8*(a^2 - b^2)^2*(a*Cosh[x] + b*Sinh[x])^2)","A",4,3,11,0.2727,1,"{3076, 3074, 206}"
590,1,65,0,0.0273524,"\int \sqrt{a \cosh (x)+b \sinh (x)} \, dx","Int[Sqrt[a*Cosh[x] + b*Sinh[x]],x]","-\frac{2 i \sqrt{a \cosh (x)+b \sinh (x)} E\left(\left.\frac{1}{2} \left(i x-\tan ^{-1}(a,-i b)\right)\right|2\right)}{\sqrt{\frac{a \cosh (x)+b \sinh (x)}{\sqrt{a^2-b^2}}}}","-\frac{2 i \sqrt{a \cosh (x)+b \sinh (x)} E\left(\left.\frac{1}{2} \left(i x-\tan ^{-1}(a,-i b)\right)\right|2\right)}{\sqrt{\frac{a \cosh (x)+b \sinh (x)}{\sqrt{a^2-b^2}}}}",1,"((-2*I)*EllipticE[(I*x - ArcTan[a, (-I)*b])/2, 2]*Sqrt[a*Cosh[x] + b*Sinh[x]])/Sqrt[(a*Cosh[x] + b*Sinh[x])/Sqrt[a^2 - b^2]]","A",2,2,13,0.1538,1,"{3078, 2639}"
591,1,103,0,0.0532752,"\int (a \cosh (x)+b \sinh (x))^{3/2} \, dx","Int[(a*Cosh[x] + b*Sinh[x])^(3/2),x]","\frac{2}{3} (a \sinh (x)+b \cosh (x)) \sqrt{a \cosh (x)+b \sinh (x)}-\frac{2 i \left(a^2-b^2\right) \sqrt{\frac{a \cosh (x)+b \sinh (x)}{\sqrt{a^2-b^2}}} F\left(\left.\frac{1}{2} \left(i x-\tan ^{-1}(a,-i b)\right)\right|2\right)}{3 \sqrt{a \cosh (x)+b \sinh (x)}}","\frac{2}{3} (a \sinh (x)+b \cosh (x)) \sqrt{a \cosh (x)+b \sinh (x)}-\frac{2 i \left(a^2-b^2\right) \sqrt{\frac{a \cosh (x)+b \sinh (x)}{\sqrt{a^2-b^2}}} F\left(\left.\frac{1}{2} \left(i x-\tan ^{-1}(a,-i b)\right)\right|2\right)}{3 \sqrt{a \cosh (x)+b \sinh (x)}}",1,"(2*(b*Cosh[x] + a*Sinh[x])*Sqrt[a*Cosh[x] + b*Sinh[x]])/3 - (((2*I)/3)*(a^2 - b^2)*EllipticF[(I*x - ArcTan[a, (-I)*b])/2, 2]*Sqrt[(a*Cosh[x] + b*Sinh[x])/Sqrt[a^2 - b^2]])/Sqrt[a*Cosh[x] + b*Sinh[x]]","A",3,3,13,0.2308,1,"{3073, 3078, 2641}"
592,1,103,0,0.0501036,"\int (a \cosh (x)+b \sinh (x))^{5/2} \, dx","Int[(a*Cosh[x] + b*Sinh[x])^(5/2),x]","\frac{2}{5} (a \sinh (x)+b \cosh (x)) (a \cosh (x)+b \sinh (x))^{3/2}-\frac{6 i \left(a^2-b^2\right) \sqrt{a \cosh (x)+b \sinh (x)} E\left(\left.\frac{1}{2} \left(i x-\tan ^{-1}(a,-i b)\right)\right|2\right)}{5 \sqrt{\frac{a \cosh (x)+b \sinh (x)}{\sqrt{a^2-b^2}}}}","\frac{2}{5} (a \sinh (x)+b \cosh (x)) (a \cosh (x)+b \sinh (x))^{3/2}-\frac{6 i \left(a^2-b^2\right) \sqrt{a \cosh (x)+b \sinh (x)} E\left(\left.\frac{1}{2} \left(i x-\tan ^{-1}(a,-i b)\right)\right|2\right)}{5 \sqrt{\frac{a \cosh (x)+b \sinh (x)}{\sqrt{a^2-b^2}}}}",1,"(2*(b*Cosh[x] + a*Sinh[x])*(a*Cosh[x] + b*Sinh[x])^(3/2))/5 - (((6*I)/5)*(a^2 - b^2)*EllipticE[(I*x - ArcTan[a, (-I)*b])/2, 2]*Sqrt[a*Cosh[x] + b*Sinh[x]])/Sqrt[(a*Cosh[x] + b*Sinh[x])/Sqrt[a^2 - b^2]]","A",3,3,13,0.2308,1,"{3073, 3078, 2639}"
593,1,65,0,0.0268969,"\int \frac{1}{\sqrt{a \cosh (x)+b \sinh (x)}} \, dx","Int[1/Sqrt[a*Cosh[x] + b*Sinh[x]],x]","-\frac{2 i \sqrt{\frac{a \cosh (x)+b \sinh (x)}{\sqrt{a^2-b^2}}} F\left(\left.\frac{1}{2} \left(i x-\tan ^{-1}(a,-i b)\right)\right|2\right)}{\sqrt{a \cosh (x)+b \sinh (x)}}","-\frac{2 i \sqrt{\frac{a \cosh (x)+b \sinh (x)}{\sqrt{a^2-b^2}}} F\left(\left.\frac{1}{2} \left(i x-\tan ^{-1}(a,-i b)\right)\right|2\right)}{\sqrt{a \cosh (x)+b \sinh (x)}}",1,"((-2*I)*EllipticF[(I*x - ArcTan[a, (-I)*b])/2, 2]*Sqrt[(a*Cosh[x] + b*Sinh[x])/Sqrt[a^2 - b^2]])/Sqrt[a*Cosh[x] + b*Sinh[x]]","A",2,2,13,0.1538,1,"{3078, 2641}"
594,1,112,0,0.0505367,"\int \frac{1}{(a \cosh (x)+b \sinh (x))^{3/2}} \, dx","Int[(a*Cosh[x] + b*Sinh[x])^(-3/2),x]","\frac{2 (a \sinh (x)+b \cosh (x))}{\left(a^2-b^2\right) \sqrt{a \cosh (x)+b \sinh (x)}}+\frac{2 i \sqrt{a \cosh (x)+b \sinh (x)} E\left(\left.\frac{1}{2} \left(i x-\tan ^{-1}(a,-i b)\right)\right|2\right)}{\left(a^2-b^2\right) \sqrt{\frac{a \cosh (x)+b \sinh (x)}{\sqrt{a^2-b^2}}}}","\frac{2 (a \sinh (x)+b \cosh (x))}{\left(a^2-b^2\right) \sqrt{a \cosh (x)+b \sinh (x)}}+\frac{2 i \sqrt{a \cosh (x)+b \sinh (x)} E\left(\left.\frac{1}{2} \left(i x-\tan ^{-1}(a,-i b)\right)\right|2\right)}{\left(a^2-b^2\right) \sqrt{\frac{a \cosh (x)+b \sinh (x)}{\sqrt{a^2-b^2}}}}",1,"(2*(b*Cosh[x] + a*Sinh[x]))/((a^2 - b^2)*Sqrt[a*Cosh[x] + b*Sinh[x]]) + ((2*I)*EllipticE[(I*x - ArcTan[a, (-I)*b])/2, 2]*Sqrt[a*Cosh[x] + b*Sinh[x]])/((a^2 - b^2)*Sqrt[(a*Cosh[x] + b*Sinh[x])/Sqrt[a^2 - b^2]])","A",3,3,13,0.2308,1,"{3076, 3078, 2639}"
595,1,116,0,0.0481128,"\int \frac{1}{(a \cosh (x)+b \sinh (x))^{5/2}} \, dx","Int[(a*Cosh[x] + b*Sinh[x])^(-5/2),x]","\frac{2 (a \sinh (x)+b \cosh (x))}{3 \left(a^2-b^2\right) (a \cosh (x)+b \sinh (x))^{3/2}}-\frac{2 i \sqrt{\frac{a \cosh (x)+b \sinh (x)}{\sqrt{a^2-b^2}}} F\left(\left.\frac{1}{2} \left(i x-\tan ^{-1}(a,-i b)\right)\right|2\right)}{3 \left(a^2-b^2\right) \sqrt{a \cosh (x)+b \sinh (x)}}","\frac{2 (a \sinh (x)+b \cosh (x))}{3 \left(a^2-b^2\right) (a \cosh (x)+b \sinh (x))^{3/2}}-\frac{2 i \sqrt{\frac{a \cosh (x)+b \sinh (x)}{\sqrt{a^2-b^2}}} F\left(\left.\frac{1}{2} \left(i x-\tan ^{-1}(a,-i b)\right)\right|2\right)}{3 \left(a^2-b^2\right) \sqrt{a \cosh (x)+b \sinh (x)}}",1,"(2*(b*Cosh[x] + a*Sinh[x]))/(3*(a^2 - b^2)*(a*Cosh[x] + b*Sinh[x])^(3/2)) - (((2*I)/3)*EllipticF[(I*x - ArcTan[a, (-I)*b])/2, 2]*Sqrt[(a*Cosh[x] + b*Sinh[x])/Sqrt[a^2 - b^2]])/((a^2 - b^2)*Sqrt[a*Cosh[x] + b*Sinh[x]])","A",3,3,13,0.2308,1,"{3076, 3078, 2641}"
596,1,23,0,0.0152554,"\int (a \cosh (c+d x)+a \sinh (c+d x)) \, dx","Int[a*Cosh[c + d*x] + a*Sinh[c + d*x],x]","\frac{a \sinh (c+d x)}{d}+\frac{a \cosh (c+d x)}{d}","\frac{a \sinh (c+d x)}{d}+\frac{a \cosh (c+d x)}{d}",1,"(a*Cosh[c + d*x])/d + (a*Sinh[c + d*x])/d","A",3,2,17,0.1176,1,"{2637, 2638}"
597,1,26,0,0.0162527,"\int (a \cosh (c+d x)+a \sinh (c+d x))^2 \, dx","Int[(a*Cosh[c + d*x] + a*Sinh[c + d*x])^2,x]","\frac{(a \sinh (c+d x)+a \cosh (c+d x))^2}{2 d}","\frac{(a \sinh (c+d x)+a \cosh (c+d x))^2}{2 d}",1,"(a*Cosh[c + d*x] + a*Sinh[c + d*x])^2/(2*d)","A",1,1,19,0.05263,1,"{3071}"
598,1,26,0,0.0151791,"\int (a \cosh (c+d x)+a \sinh (c+d x))^3 \, dx","Int[(a*Cosh[c + d*x] + a*Sinh[c + d*x])^3,x]","\frac{(a \sinh (c+d x)+a \cosh (c+d x))^3}{3 d}","\frac{(a \sinh (c+d x)+a \cosh (c+d x))^3}{3 d}",1,"(a*Cosh[c + d*x] + a*Sinh[c + d*x])^3/(3*d)","A",1,1,19,0.05263,1,"{3071}"
599,1,26,0,0.0151521,"\int (a \cosh (c+d x)+a \sinh (c+d x))^n \, dx","Int[(a*Cosh[c + d*x] + a*Sinh[c + d*x])^n,x]","\frac{(a \sinh (c+d x)+a \cosh (c+d x))^n}{d n}","\frac{(a \sinh (c+d x)+a \cosh (c+d x))^n}{d n}",1,"(a*Cosh[c + d*x] + a*Sinh[c + d*x])^n/(d*n)","A",1,1,19,0.05263,1,"{3071}"
600,1,24,0,0.0164745,"\int \frac{1}{a \cosh (c+d x)+a \sinh (c+d x)} \, dx","Int[(a*Cosh[c + d*x] + a*Sinh[c + d*x])^(-1),x]","-\frac{1}{d (a \sinh (c+d x)+a \cosh (c+d x))}","-\frac{1}{d (a \sinh (c+d x)+a \cosh (c+d x))}",1,"-(1/(d*(a*Cosh[c + d*x] + a*Sinh[c + d*x])))","A",1,1,19,0.05263,1,"{3071}"
601,1,26,0,0.0158443,"\int \frac{1}{(a \cosh (c+d x)+a \sinh (c+d x))^2} \, dx","Int[(a*Cosh[c + d*x] + a*Sinh[c + d*x])^(-2),x]","-\frac{1}{2 d (a \sinh (c+d x)+a \cosh (c+d x))^2}","-\frac{1}{2 d (a \sinh (c+d x)+a \cosh (c+d x))^2}",1,"-1/(2*d*(a*Cosh[c + d*x] + a*Sinh[c + d*x])^2)","A",1,1,19,0.05263,1,"{3071}"
602,1,26,0,0.0158623,"\int \frac{1}{(a \cosh (c+d x)+a \sinh (c+d x))^3} \, dx","Int[(a*Cosh[c + d*x] + a*Sinh[c + d*x])^(-3),x]","-\frac{1}{3 d (a \sinh (c+d x)+a \cosh (c+d x))^3}","-\frac{1}{3 d (a \sinh (c+d x)+a \cosh (c+d x))^3}",1,"-1/(3*d*(a*Cosh[c + d*x] + a*Sinh[c + d*x])^3)","A",1,1,19,0.05263,1,"{3071}"
603,1,26,0,0.0161512,"\int \sqrt{a \cosh (c+d x)+a \sinh (c+d x)} \, dx","Int[Sqrt[a*Cosh[c + d*x] + a*Sinh[c + d*x]],x]","\frac{2 \sqrt{a \sinh (c+d x)+a \cosh (c+d x)}}{d}","\frac{2 \sqrt{a \sinh (c+d x)+a \cosh (c+d x)}}{d}",1,"(2*Sqrt[a*Cosh[c + d*x] + a*Sinh[c + d*x]])/d","A",1,1,21,0.04762,1,"{3071}"
604,1,26,0,0.0170826,"\int \frac{1}{\sqrt{a \cosh (c+d x)+a \sinh (c+d x)}} \, dx","Int[1/Sqrt[a*Cosh[c + d*x] + a*Sinh[c + d*x]],x]","-\frac{2}{d \sqrt{a \sinh (c+d x)+a \cosh (c+d x)}}","-\frac{2}{d \sqrt{a \sinh (c+d x)+a \cosh (c+d x)}}",1,"-2/(d*Sqrt[a*Cosh[c + d*x] + a*Sinh[c + d*x]])","A",1,1,21,0.04762,1,"{3071}"
605,1,24,0,0.0148298,"\int (a \cosh (c+d x)-a \sinh (c+d x)) \, dx","Int[a*Cosh[c + d*x] - a*Sinh[c + d*x],x]","\frac{a \sinh (c+d x)}{d}-\frac{a \cosh (c+d x)}{d}","\frac{a \sinh (c+d x)}{d}-\frac{a \cosh (c+d x)}{d}",1,"-((a*Cosh[c + d*x])/d) + (a*Sinh[c + d*x])/d","A",3,2,18,0.1111,1,"{2637, 2638}"
606,1,27,0,0.0150284,"\int (a \cosh (c+d x)-a \sinh (c+d x))^2 \, dx","Int[(a*Cosh[c + d*x] - a*Sinh[c + d*x])^2,x]","-\frac{(a \cosh (c+d x)-a \sinh (c+d x))^2}{2 d}","-\frac{(a \cosh (c+d x)-a \sinh (c+d x))^2}{2 d}",1,"-(a*Cosh[c + d*x] - a*Sinh[c + d*x])^2/(2*d)","A",1,1,20,0.05000,1,"{3071}"
607,1,27,0,0.0148465,"\int (a \cosh (c+d x)-a \sinh (c+d x))^3 \, dx","Int[(a*Cosh[c + d*x] - a*Sinh[c + d*x])^3,x]","-\frac{(a \cosh (c+d x)-a \sinh (c+d x))^3}{3 d}","-\frac{(a \cosh (c+d x)-a \sinh (c+d x))^3}{3 d}",1,"-(a*Cosh[c + d*x] - a*Sinh[c + d*x])^3/(3*d)","A",1,1,20,0.05000,1,"{3071}"
608,1,28,0,0.0158082,"\int (a \cosh (c+d x)-a \sinh (c+d x))^n \, dx","Int[(a*Cosh[c + d*x] - a*Sinh[c + d*x])^n,x]","-\frac{(a \cosh (c+d x)-a \sinh (c+d x))^n}{d n}","-\frac{(a \cosh (c+d x)-a \sinh (c+d x))^n}{d n}",1,"-((a*Cosh[c + d*x] - a*Sinh[c + d*x])^n/(d*n))","A",1,1,20,0.05000,1,"{3071}"
609,1,24,0,0.0155538,"\int \frac{1}{a \cosh (c+d x)-a \sinh (c+d x)} \, dx","Int[(a*Cosh[c + d*x] - a*Sinh[c + d*x])^(-1),x]","\frac{1}{d (a \cosh (c+d x)-a \sinh (c+d x))}","\frac{1}{d (a \cosh (c+d x)-a \sinh (c+d x))}",1,"1/(d*(a*Cosh[c + d*x] - a*Sinh[c + d*x]))","A",1,1,20,0.05000,1,"{3071}"
610,1,27,0,0.0153704,"\int \frac{1}{(a \cosh (c+d x)-a \sinh (c+d x))^2} \, dx","Int[(a*Cosh[c + d*x] - a*Sinh[c + d*x])^(-2),x]","\frac{1}{2 d (a \cosh (c+d x)-a \sinh (c+d x))^2}","\frac{1}{2 d (a \cosh (c+d x)-a \sinh (c+d x))^2}",1,"1/(2*d*(a*Cosh[c + d*x] - a*Sinh[c + d*x])^2)","A",1,1,20,0.05000,1,"{3071}"
611,1,27,0,0.0155465,"\int \frac{1}{(a \cosh (c+d x)-a \sinh (c+d x))^3} \, dx","Int[(a*Cosh[c + d*x] - a*Sinh[c + d*x])^(-3),x]","\frac{1}{3 d (a \cosh (c+d x)-a \sinh (c+d x))^3}","\frac{1}{3 d (a \cosh (c+d x)-a \sinh (c+d x))^3}",1,"1/(3*d*(a*Cosh[c + d*x] - a*Sinh[c + d*x])^3)","A",1,1,20,0.05000,1,"{3071}"
612,1,27,0,0.0158502,"\int \sqrt{a \cosh (c+d x)-a \sinh (c+d x)} \, dx","Int[Sqrt[a*Cosh[c + d*x] - a*Sinh[c + d*x]],x]","-\frac{2 \sqrt{a \cosh (c+d x)-a \sinh (c+d x)}}{d}","-\frac{2 \sqrt{a \cosh (c+d x)-a \sinh (c+d x)}}{d}",1,"(-2*Sqrt[a*Cosh[c + d*x] - a*Sinh[c + d*x]])/d","A",1,1,22,0.04545,1,"{3071}"
613,1,27,0,0.016832,"\int \frac{1}{\sqrt{a \cosh (c+d x)-a \sinh (c+d x)}} \, dx","Int[1/Sqrt[a*Cosh[c + d*x] - a*Sinh[c + d*x]],x]","\frac{2}{d \sqrt{a \cosh (c+d x)-a \sinh (c+d x)}}","\frac{2}{d \sqrt{a \cosh (c+d x)-a \sinh (c+d x)}}",1,"2/(d*Sqrt[a*Cosh[c + d*x] - a*Sinh[c + d*x]])","A",1,1,22,0.04545,1,"{3071}"
614,1,124,0,0.1854635,"\int (a \text{sech}(x)+b \tanh (x))^5 \, dx","Int[(a*Sech[x] + b*Tanh[x])^5,x]","-\frac{1}{8} a b^2 \left(3 a^2+7 b^2\right) \sinh (x)+\frac{1}{8} a \left(10 a^2 b^2+3 a^4+15 b^4\right) \tan ^{-1}(\sinh (x))-\frac{1}{8} \text{sech}^2(x) (a+b \sinh (x))^2 \left(2 b \left(a^2+2 b^2\right)-a \left(3 a^2+5 b^2\right) \sinh (x)\right)-\frac{1}{4} \text{sech}^4(x) (b-a \sinh (x)) (a+b \sinh (x))^4+b^5 \log (\cosh (x))","-\frac{1}{8} a b^2 \left(3 a^2+7 b^2\right) \sinh (x)+\frac{1}{8} a \left(10 a^2 b^2+3 a^4+15 b^4\right) \tan ^{-1}(\sinh (x))-\frac{1}{8} \text{sech}^2(x) (a+b \sinh (x))^2 \left(2 b \left(a^2+2 b^2\right)-a \left(3 a^2+5 b^2\right) \sinh (x)\right)-\frac{1}{4} \text{sech}^4(x) (b-a \sinh (x)) (a+b \sinh (x))^4+b^5 \log (\cosh (x))",1,"(a*(3*a^4 + 10*a^2*b^2 + 15*b^4)*ArcTan[Sinh[x]])/8 + b^5*Log[Cosh[x]] - (a*b^2*(3*a^2 + 7*b^2)*Sinh[x])/8 - (Sech[x]^4*(b - a*Sinh[x])*(a + b*Sinh[x])^4)/4 - (Sech[x]^2*(a + b*Sinh[x])^2*(2*b*(a^2 + 2*b^2) - a*(3*a^2 + 5*b^2)*Sinh[x]))/8","A",8,8,11,0.7273,1,"{4391, 2668, 739, 819, 774, 635, 204, 260}"
615,1,100,0,0.2085176,"\int (a \text{sech}(x)+b \tanh (x))^4 \, dx","Int[(a*Sech[x] + b*Tanh[x])^4,x]","-\frac{4}{3} a b \left(a^2+2 b^2\right) \cosh (x)-\frac{1}{3} b^2 \left(2 a^2+3 b^2\right) \sinh (x) \cosh (x)+\frac{1}{3} \text{sech}(x) (a+b \sinh (x))^2 \left(\left(2 a^2+3 b^2\right) \sinh (x)+a b\right)-\frac{1}{3} \text{sech}^3(x) (b-a \sinh (x)) (a+b \sinh (x))^3+b^4 x","-\frac{4}{3} a b \left(a^2+2 b^2\right) \cosh (x)-\frac{1}{3} b^2 \left(2 a^2+3 b^2\right) \sinh (x) \cosh (x)+\frac{1}{3} \text{sech}(x) (a+b \sinh (x))^2 \left(\left(2 a^2+3 b^2\right) \sinh (x)+a b\right)-\frac{1}{3} \text{sech}^3(x) (b-a \sinh (x)) (a+b \sinh (x))^3+b^4 x",1,"b^4*x - (4*a*b*(a^2 + 2*b^2)*Cosh[x])/3 - (b^2*(2*a^2 + 3*b^2)*Cosh[x]*Sinh[x])/3 - (Sech[x]^3*(b - a*Sinh[x])*(a + b*Sinh[x])^3)/3 + (Sech[x]*(a + b*Sinh[x])^2*(a*b + (2*a^2 + 3*b^2)*Sinh[x]))/3","A",4,4,11,0.3636,1,"{4391, 2691, 2861, 2734}"
616,1,58,0,0.1066954,"\int (a \text{sech}(x)+b \tanh (x))^3 \, dx","Int[(a*Sech[x] + b*Tanh[x])^3,x]","\frac{1}{2} a \left(a^2+3 b^2\right) \tan ^{-1}(\sinh (x))-\frac{1}{2} a b^2 \sinh (x)-\frac{1}{2} \text{sech}^2(x) (b-a \sinh (x)) (a+b \sinh (x))^2+b^3 \log (\cosh (x))","\frac{1}{2} a \left(a^2+3 b^2\right) \tan ^{-1}(\sinh (x))-\frac{1}{2} a b^2 \sinh (x)-\frac{1}{2} \text{sech}^2(x) (b-a \sinh (x)) (a+b \sinh (x))^2+b^3 \log (\cosh (x))",1,"(a*(a^2 + 3*b^2)*ArcTan[Sinh[x]])/2 + b^3*Log[Cosh[x]] - (a*b^2*Sinh[x])/2 - (Sech[x]^2*(b - a*Sinh[x])*(a + b*Sinh[x])^2)/2","A",7,7,11,0.6364,1,"{4391, 2668, 739, 774, 635, 204, 260}"
617,1,29,0,0.0627443,"\int (a \text{sech}(x)+b \tanh (x))^2 \, dx","Int[(a*Sech[x] + b*Tanh[x])^2,x]","-a b \cosh (x)-\text{sech}(x) (b-a \sinh (x)) (a+b \sinh (x))+b^2 x","-a b \cosh (x)-\text{sech}(x) (b-a \sinh (x)) (a+b \sinh (x))+b^2 x",1,"b^2*x - a*b*Cosh[x] - Sech[x]*(b - a*Sinh[x])*(a + b*Sinh[x])","A",4,3,11,0.2727,1,"{4391, 2691, 2638}"
618,1,11,0,0.0099126,"\int (a \text{sech}(x)+b \tanh (x)) \, dx","Int[a*Sech[x] + b*Tanh[x],x]","a \tan ^{-1}(\sinh (x))+b \log (\cosh (x))","a \tan ^{-1}(\sinh (x))+b \log (\cosh (x))",1,"a*ArcTan[Sinh[x]] + b*Log[Cosh[x]]","A",3,2,9,0.2222,1,"{3770, 3475}"
619,1,11,0,0.0385105,"\int \frac{1}{a \text{sech}(x)+b \tanh (x)} \, dx","Int[(a*Sech[x] + b*Tanh[x])^(-1),x]","\frac{\log (a+b \sinh (x))}{b}","\frac{\log (a+b \sinh (x))}{b}",1,"Log[a + b*Sinh[x]]/b","A",3,3,11,0.2727,1,"{3159, 2668, 31}"
620,1,62,0,0.1268219,"\int \frac{1}{(a \text{sech}(x)+b \tanh (x))^2} \, dx","Int[(a*Sech[x] + b*Tanh[x])^(-2),x]","\frac{2 a \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{b^2 \sqrt{a^2+b^2}}-\frac{\cosh (x)}{b (a+b \sinh (x))}+\frac{x}{b^2}","\frac{2 a \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{b^2 \sqrt{a^2+b^2}}-\frac{\cosh (x)}{b (a+b \sinh (x))}+\frac{x}{b^2}",1,"x/b^2 + (2*a*ArcTanh[(b - a*Tanh[x/2])/Sqrt[a^2 + b^2]])/(b^2*Sqrt[a^2 + b^2]) - Cosh[x]/(b*(a + b*Sinh[x]))","A",6,6,11,0.5455,1,"{4391, 2693, 2735, 2660, 618, 206}"
621,1,48,0,0.0798414,"\int \frac{1}{(a \text{sech}(x)+b \tanh (x))^3} \, dx","Int[(a*Sech[x] + b*Tanh[x])^(-3),x]","-\frac{a^2+b^2}{2 b^3 (a+b \sinh (x))^2}+\frac{2 a}{b^3 (a+b \sinh (x))}+\frac{\log (a+b \sinh (x))}{b^3}","-\frac{a^2+b^2}{2 b^3 (a+b \sinh (x))^2}+\frac{2 a}{b^3 (a+b \sinh (x))}+\frac{\log (a+b \sinh (x))}{b^3}",1,"Log[a + b*Sinh[x]]/b^3 - (a^2 + b^2)/(2*b^3*(a + b*Sinh[x])^2) + (2*a)/(b^3*(a + b*Sinh[x]))","A",4,3,11,0.2727,1,"{4391, 2668, 697}"
622,1,146,0,0.3650355,"\int \frac{1}{(a \text{sech}(x)+b \tanh (x))^4} \, dx","Int[(a*Sech[x] + b*Tanh[x])^(-4),x]","\frac{a \left(2 a^2+3 b^2\right) \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{b^4 \left(a^2+b^2\right)^{3/2}}+\frac{a \cosh ^3(x)}{2 b \left(a^2+b^2\right) (a+b \sinh (x))^2}-\frac{\cosh (x) \left(2 \left(a^2+b^2\right)+a b \sinh (x)\right)}{2 b^3 \left(a^2+b^2\right) (a+b \sinh (x))}-\frac{\cosh ^3(x)}{3 b (a+b \sinh (x))^3}+\frac{x}{b^4}","\frac{a \left(2 a^2+3 b^2\right) \tanh ^{-1}\left(\frac{b-a \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{b^4 \left(a^2+b^2\right)^{3/2}}+\frac{a \cosh ^3(x)}{2 b \left(a^2+b^2\right) (a+b \sinh (x))^2}-\frac{\cosh (x) \left(2 \left(a^2+b^2\right)+a b \sinh (x)\right)}{2 b^3 \left(a^2+b^2\right) (a+b \sinh (x))}-\frac{\cosh ^3(x)}{3 b (a+b \sinh (x))^3}+\frac{x}{b^4}",1,"x/b^4 + (a*(2*a^2 + 3*b^2)*ArcTanh[(b - a*Tanh[x/2])/Sqrt[a^2 + b^2]])/(b^4*(a^2 + b^2)^(3/2)) - Cosh[x]^3/(3*b*(a + b*Sinh[x])^3) + (a*Cosh[x]^3)/(2*b*(a^2 + b^2)*(a + b*Sinh[x])^2) - (Cosh[x]*(2*(a^2 + b^2) + a*b*Sinh[x]))/(2*b^3*(a^2 + b^2)*(a + b*Sinh[x]))","A",8,8,11,0.7273,1,"{4391, 2693, 2864, 2863, 2735, 2660, 618, 206}"
623,1,95,0,0.1158419,"\int \frac{1}{(a \text{sech}(x)+b \tanh (x))^5} \, dx","Int[(a*Sech[x] + b*Tanh[x])^(-5),x]","-\frac{\left(a^2+b^2\right)^2}{4 b^5 (a+b \sinh (x))^4}+\frac{4 a \left(a^2+b^2\right)}{3 b^5 (a+b \sinh (x))^3}-\frac{3 a^2+b^2}{b^5 (a+b \sinh (x))^2}+\frac{4 a}{b^5 (a+b \sinh (x))}+\frac{\log (a+b \sinh (x))}{b^5}","-\frac{\left(a^2+b^2\right)^2}{4 b^5 (a+b \sinh (x))^4}+\frac{4 a \left(a^2+b^2\right)}{3 b^5 (a+b \sinh (x))^3}-\frac{3 a^2+b^2}{b^5 (a+b \sinh (x))^2}+\frac{4 a}{b^5 (a+b \sinh (x))}+\frac{\log (a+b \sinh (x))}{b^5}",1,"Log[a + b*Sinh[x]]/b^5 - (a^2 + b^2)^2/(4*b^5*(a + b*Sinh[x])^4) + (4*a*(a^2 + b^2))/(3*b^5*(a + b*Sinh[x])^3) - (3*a^2 + b^2)/(b^5*(a + b*Sinh[x])^2) + (4*a)/(b^5*(a + b*Sinh[x]))","A",4,3,11,0.2727,1,"{4391, 2668, 697}"
624,1,40,0,0.0610507,"\int (\text{sech}(x)+i \tanh (x))^5 \, dx","Int[(Sech[x] + I*Tanh[x])^5,x]","\frac{4 i}{1-i \sinh (x)}-\frac{2 i}{(1-i \sinh (x))^2}+i \log (\sinh (x)+i)","\frac{4 i}{1-i \sinh (x)}-\frac{2 i}{(1-i \sinh (x))^2}+i \log (\sinh (x)+i)",1,"I*Log[I + Sinh[x]] - (2*I)/(1 - I*Sinh[x])^2 + (4*I)/(1 - I*Sinh[x])","A",4,3,11,0.2727,1,"{4391, 2667, 43}"
625,1,38,0,0.1129785,"\int (\text{sech}(x)+i \tanh (x))^4 \, dx","Int[(Sech[x] + I*Tanh[x])^4,x]","x-\frac{2 i \cosh ^3(x)}{3 (1-i \sinh (x))^3}+\frac{2 i \cosh (x)}{1-i \sinh (x)}","x-\frac{2 i \cosh ^3(x)}{3 (1-i \sinh (x))^3}+\frac{2 i \cosh (x)}{1-i \sinh (x)}",1,"x - (((2*I)/3)*Cosh[x]^3)/(1 - I*Sinh[x])^3 + ((2*I)*Cosh[x])/(1 - I*Sinh[x])","A",5,4,11,0.3636,1,"{4391, 2670, 2680, 8}"
626,1,26,0,0.0535539,"\int (\text{sech}(x)+i \tanh (x))^3 \, dx","Int[(Sech[x] + I*Tanh[x])^3,x]","-\frac{2 i}{1-i \sinh (x)}-i \log (\sinh (x)+i)","-\frac{2 i}{1-i \sinh (x)}-i \log (\sinh (x)+i)",1,"(-I)*Log[I + Sinh[x]] - (2*I)/(1 - I*Sinh[x])","A",4,3,11,0.2727,1,"{4391, 2667, 43}"
627,1,20,0,0.0751763,"\int (\text{sech}(x)+i \tanh (x))^2 \, dx","Int[(Sech[x] + I*Tanh[x])^2,x]","-x-\frac{2 i \cosh (x)}{1-i \sinh (x)}","-x-\frac{2 i \cosh (x)}{1-i \sinh (x)}",1,"-x - ((2*I)*Cosh[x])/(1 - I*Sinh[x])","A",4,4,11,0.3636,1,"{4391, 2670, 2680, 8}"
628,1,11,0,0.008228,"\int (\text{sech}(x)+i \tanh (x)) \, dx","Int[Sech[x] + I*Tanh[x],x]","\tan ^{-1}(\sinh (x))+i \log (\cosh (x))","\tan ^{-1}(\sinh (x))+i \log (\cosh (x))",1,"ArcTan[Sinh[x]] + I*Log[Cosh[x]]","A",3,2,9,0.2222,1,"{3770, 3475}"
629,1,13,0,0.029448,"\int \frac{1}{\text{sech}(x)+i \tanh (x)} \, dx","Int[(Sech[x] + I*Tanh[x])^(-1),x]","-i \log (-\sinh (x)+i)","-i \log (-\sinh (x)+i)",1,"(-I)*Log[I - Sinh[x]]","A",3,3,11,0.2727,1,"{3159, 2667, 31}"
630,1,20,0,0.0443195,"\int \frac{1}{(\text{sech}(x)+i \tanh (x))^2} \, dx","Int[(Sech[x] + I*Tanh[x])^(-2),x]","-x+\frac{2 i \cosh (x)}{1+i \sinh (x)}","-x+\frac{2 i \cosh (x)}{1+i \sinh (x)}",1,"-x + ((2*I)*Cosh[x])/(1 + I*Sinh[x])","A",3,3,11,0.2727,1,"{4391, 2680, 8}"
631,1,28,0,0.0521178,"\int \frac{1}{(\text{sech}(x)+i \tanh (x))^3} \, dx","Int[(Sech[x] + I*Tanh[x])^(-3),x]","\frac{2 i}{1+i \sinh (x)}+i \log (-\sinh (x)+i)","\frac{2 i}{1+i \sinh (x)}+i \log (-\sinh (x)+i)",1,"I*Log[I - Sinh[x]] + (2*I)/(1 + I*Sinh[x])","A",4,3,11,0.2727,1,"{4391, 2667, 43}"
632,1,38,0,0.0774291,"\int \frac{1}{(\text{sech}(x)+i \tanh (x))^4} \, dx","Int[(Sech[x] + I*Tanh[x])^(-4),x]","x+\frac{2 i \cosh ^3(x)}{3 (1+i \sinh (x))^3}-\frac{2 i \cosh (x)}{1+i \sinh (x)}","x+\frac{2 i \cosh ^3(x)}{3 (1+i \sinh (x))^3}-\frac{2 i \cosh (x)}{1+i \sinh (x)}",1,"x + (((2*I)/3)*Cosh[x]^3)/(1 + I*Sinh[x])^3 - ((2*I)*Cosh[x])/(1 + I*Sinh[x])","A",4,3,11,0.2727,1,"{4391, 2680, 8}"
633,1,42,0,0.0554388,"\int \frac{1}{(\text{sech}(x)+i \tanh (x))^5} \, dx","Int[(Sech[x] + I*Tanh[x])^(-5),x]","-\frac{4 i}{1+i \sinh (x)}+\frac{2 i}{(1+i \sinh (x))^2}-i \log (-\sinh (x)+i)","-\frac{4 i}{1+i \sinh (x)}+\frac{2 i}{(1+i \sinh (x))^2}-i \log (-\sinh (x)+i)",1,"(-I)*Log[I - Sinh[x]] + (2*I)/(1 + I*Sinh[x])^2 - (4*I)/(1 + I*Sinh[x])","A",4,3,11,0.2727,1,"{4391, 2667, 43}"
634,1,42,0,0.0591995,"\int (\text{sech}(x)-i \tanh (x))^5 \, dx","Int[(Sech[x] - I*Tanh[x])^5,x]","-\frac{4 i}{1+i \sinh (x)}+\frac{2 i}{(1+i \sinh (x))^2}-i \log (-\sinh (x)+i)","-\frac{4 i}{1+i \sinh (x)}+\frac{2 i}{(1+i \sinh (x))^2}-i \log (-\sinh (x)+i)",1,"(-I)*Log[I - Sinh[x]] + (2*I)/(1 + I*Sinh[x])^2 - (4*I)/(1 + I*Sinh[x])","A",4,3,11,0.2727,1,"{4391, 2667, 43}"
635,1,38,0,0.1088169,"\int (\text{sech}(x)-i \tanh (x))^4 \, dx","Int[(Sech[x] - I*Tanh[x])^4,x]","x+\frac{2 i \cosh ^3(x)}{3 (1+i \sinh (x))^3}-\frac{2 i \cosh (x)}{1+i \sinh (x)}","x+\frac{2 i \cosh ^3(x)}{3 (1+i \sinh (x))^3}-\frac{2 i \cosh (x)}{1+i \sinh (x)}",1,"x + (((2*I)/3)*Cosh[x]^3)/(1 + I*Sinh[x])^3 - ((2*I)*Cosh[x])/(1 + I*Sinh[x])","A",5,4,11,0.3636,1,"{4391, 2670, 2680, 8}"
636,1,28,0,0.0599885,"\int (\text{sech}(x)-i \tanh (x))^3 \, dx","Int[(Sech[x] - I*Tanh[x])^3,x]","\frac{2 i}{1+i \sinh (x)}+i \log (-\sinh (x)+i)","\frac{2 i}{1+i \sinh (x)}+i \log (-\sinh (x)+i)",1,"I*Log[I - Sinh[x]] + (2*I)/(1 + I*Sinh[x])","A",4,3,11,0.2727,1,"{4391, 2667, 43}"
637,1,20,0,0.0743424,"\int (\text{sech}(x)-i \tanh (x))^2 \, dx","Int[(Sech[x] - I*Tanh[x])^2,x]","-x+\frac{2 i \cosh (x)}{1+i \sinh (x)}","-x+\frac{2 i \cosh (x)}{1+i \sinh (x)}",1,"-x + ((2*I)*Cosh[x])/(1 + I*Sinh[x])","A",4,4,11,0.3636,1,"{4391, 2670, 2680, 8}"
638,1,11,0,0.008347,"\int (\text{sech}(x)-i \tanh (x)) \, dx","Int[Sech[x] - I*Tanh[x],x]","\tan ^{-1}(\sinh (x))-i \log (\cosh (x))","\tan ^{-1}(\sinh (x))-i \log (\cosh (x))",1,"ArcTan[Sinh[x]] - I*Log[Cosh[x]]","A",3,2,9,0.2222,1,"{3770, 3475}"
639,1,11,0,0.0301713,"\int \frac{1}{\text{sech}(x)-i \tanh (x)} \, dx","Int[(Sech[x] - I*Tanh[x])^(-1),x]","i \log (\sinh (x)+i)","i \log (\sinh (x)+i)",1,"I*Log[I + Sinh[x]]","A",3,3,11,0.2727,1,"{3159, 2667, 31}"
640,1,20,0,0.0468274,"\int \frac{1}{(\text{sech}(x)-i \tanh (x))^2} \, dx","Int[(Sech[x] - I*Tanh[x])^(-2),x]","-x-\frac{2 i \cosh (x)}{1-i \sinh (x)}","-x-\frac{2 i \cosh (x)}{1-i \sinh (x)}",1,"-x - ((2*I)*Cosh[x])/(1 - I*Sinh[x])","A",3,3,11,0.2727,1,"{4391, 2680, 8}"
641,1,26,0,0.0517354,"\int \frac{1}{(\text{sech}(x)-i \tanh (x))^3} \, dx","Int[(Sech[x] - I*Tanh[x])^(-3),x]","-\frac{2 i}{1-i \sinh (x)}-i \log (\sinh (x)+i)","-\frac{2 i}{1-i \sinh (x)}-i \log (\sinh (x)+i)",1,"(-I)*Log[I + Sinh[x]] - (2*I)/(1 - I*Sinh[x])","A",4,3,11,0.2727,1,"{4391, 2667, 43}"
642,1,38,0,0.0767709,"\int \frac{1}{(\text{sech}(x)-i \tanh (x))^4} \, dx","Int[(Sech[x] - I*Tanh[x])^(-4),x]","x-\frac{2 i \cosh ^3(x)}{3 (1-i \sinh (x))^3}+\frac{2 i \cosh (x)}{1-i \sinh (x)}","x-\frac{2 i \cosh ^3(x)}{3 (1-i \sinh (x))^3}+\frac{2 i \cosh (x)}{1-i \sinh (x)}",1,"x - (((2*I)/3)*Cosh[x]^3)/(1 - I*Sinh[x])^3 + ((2*I)*Cosh[x])/(1 - I*Sinh[x])","A",4,3,11,0.2727,1,"{4391, 2680, 8}"
643,1,40,0,0.0551645,"\int \frac{1}{(\text{sech}(x)-i \tanh (x))^5} \, dx","Int[(Sech[x] - I*Tanh[x])^(-5),x]","\frac{4 i}{1-i \sinh (x)}-\frac{2 i}{(1-i \sinh (x))^2}+i \log (\sinh (x)+i)","\frac{4 i}{1-i \sinh (x)}-\frac{2 i}{(1-i \sinh (x))^2}+i \log (\sinh (x)+i)",1,"I*Log[I + Sinh[x]] - (2*I)/(1 - I*Sinh[x])^2 + (4*I)/(1 - I*Sinh[x])","A",4,3,11,0.2727,1,"{4391, 2667, 43}"
644,1,124,0,0.2430046,"\int (a \coth (x)+b \text{csch}(x))^5 \, dx","Int[(a*Coth[x] + b*Csch[x])^5,x]","\frac{1}{8} a^2 b \left(7 a^2-3 b^2\right) \cosh (x)-\frac{1}{8} b \left(-10 a^2 b^2+15 a^4+3 b^4\right) \tanh ^{-1}(\cosh (x))-\frac{1}{8} \text{csch}^2(x) (a \cosh (x)+b)^2 \left(b \left(5 a^2-3 b^2\right) \cosh (x)+2 a \left(2 a^2-b^2\right)\right)+a^5 \log (\sinh (x))-\frac{1}{4} \text{csch}^4(x) (a \cosh (x)+b)^4 (a+b \cosh (x))","\frac{1}{8} a^2 b \left(7 a^2-3 b^2\right) \cosh (x)-\frac{1}{8} b \left(-10 a^2 b^2+15 a^4+3 b^4\right) \tanh ^{-1}(\cosh (x))-\frac{1}{8} \text{csch}^2(x) (a \cosh (x)+b)^2 \left(b \left(5 a^2-3 b^2\right) \cosh (x)+2 a \left(2 a^2-b^2\right)\right)+a^5 \log (\sinh (x))-\frac{1}{4} \text{csch}^4(x) (a \cosh (x)+b)^4 (a+b \cosh (x))",1,"-(b*(15*a^4 - 10*a^2*b^2 + 3*b^4)*ArcTanh[Cosh[x]])/8 + (a^2*b*(7*a^2 - 3*b^2)*Cosh[x])/8 - ((b + a*Cosh[x])^2*(2*a*(2*a^2 - b^2) + b*(5*a^2 - 3*b^2)*Cosh[x])*Csch[x]^2)/8 - ((b + a*Cosh[x])^4*(a + b*Cosh[x])*Csch[x]^4)/4 + a^5*Log[Sinh[x]]","A",8,8,11,0.7273,1,"{4392, 2668, 739, 819, 774, 635, 204, 260}"
645,1,101,0,0.2386115,"\int (a \coth (x)+b \text{csch}(x))^4 \, dx","Int[(a*Coth[x] + b*Csch[x])^4,x]","\frac{4}{3} a b \left(2 a^2-b^2\right) \sinh (x)+\frac{1}{3} a^2 \left(3 a^2-2 b^2\right) \sinh (x) \cosh (x)-\frac{1}{3} \text{csch}(x) (a \cosh (x)+b)^2 \left(\left(3 a^2-2 b^2\right) \cosh (x)+a b\right)+a^4 x-\frac{1}{3} \text{csch}^3(x) (a \cosh (x)+b)^3 (a+b \cosh (x))","\frac{4}{3} a b \left(2 a^2-b^2\right) \sinh (x)+\frac{1}{3} a^2 \left(3 a^2-2 b^2\right) \sinh (x) \cosh (x)-\frac{1}{3} \text{csch}(x) (a \cosh (x)+b)^2 \left(\left(3 a^2-2 b^2\right) \cosh (x)+a b\right)+a^4 x-\frac{1}{3} \text{csch}^3(x) (a \cosh (x)+b)^3 (a+b \cosh (x))",1,"a^4*x - ((b + a*Cosh[x])^2*(a*b + (3*a^2 - 2*b^2)*Cosh[x])*Csch[x])/3 - ((b + a*Cosh[x])^3*(a + b*Cosh[x])*Csch[x]^3)/3 + (4*a*b*(2*a^2 - b^2)*Sinh[x])/3 + (a^2*(3*a^2 - 2*b^2)*Cosh[x]*Sinh[x])/3","A",4,4,11,0.3636,1,"{4392, 2691, 2861, 2734}"
646,1,59,0,0.1234688,"\int (a \coth (x)+b \text{csch}(x))^3 \, dx","Int[(a*Coth[x] + b*Csch[x])^3,x]","-\frac{1}{2} b \left(3 a^2-b^2\right) \tanh ^{-1}(\cosh (x))+\frac{1}{2} a^2 b \cosh (x)+a^3 \log (\sinh (x))-\frac{1}{2} \text{csch}^2(x) (a \cosh (x)+b)^2 (a+b \cosh (x))","-\frac{1}{2} b \left(3 a^2-b^2\right) \tanh ^{-1}(\cosh (x))+\frac{1}{2} a^2 b \cosh (x)+a^3 \log (\sinh (x))-\frac{1}{2} \text{csch}^2(x) (a \cosh (x)+b)^2 (a+b \cosh (x))",1,"-(b*(3*a^2 - b^2)*ArcTanh[Cosh[x]])/2 + (a^2*b*Cosh[x])/2 - ((b + a*Cosh[x])^2*(a + b*Cosh[x])*Csch[x]^2)/2 + a^3*Log[Sinh[x]]","A",7,7,11,0.6364,1,"{4392, 2668, 739, 774, 635, 204, 260}"
647,1,27,0,0.0683047,"\int (a \coth (x)+b \text{csch}(x))^2 \, dx","Int[(a*Coth[x] + b*Csch[x])^2,x]","a^2 x+a b \sinh (x)-\text{csch}(x) (a \cosh (x)+b) (a+b \cosh (x))","a^2 x+a b \sinh (x)-\text{csch}(x) (a \cosh (x)+b) (a+b \cosh (x))",1,"a^2*x - (b + a*Cosh[x])*(a + b*Cosh[x])*Csch[x] + a*b*Sinh[x]","A",4,3,11,0.2727,1,"{4392, 2691, 2637}"
648,1,12,0,0.0104265,"\int (a \coth (x)+b \text{csch}(x)) \, dx","Int[a*Coth[x] + b*Csch[x],x]","a \log (\sinh (x))-b \tanh ^{-1}(\cosh (x))","a \log (\sinh (x))-b \tanh ^{-1}(\cosh (x))",1,"-(b*ArcTanh[Cosh[x]]) + a*Log[Sinh[x]]","A",3,2,9,0.2222,1,"{3475, 3770}"
649,1,11,0,0.0462933,"\int \frac{1}{a \coth (x)+b \text{csch}(x)} \, dx","Int[(a*Coth[x] + b*Csch[x])^(-1),x]","\frac{\log (a \cosh (x)+b)}{a}","\frac{\log (a \cosh (x)+b)}{a}",1,"Log[b + a*Cosh[x]]/a","A",3,3,11,0.2727,1,"{3160, 2668, 31}"
650,1,67,0,0.1319116,"\int \frac{1}{(a \coth (x)+b \text{csch}(x))^2} \, dx","Int[(a*Coth[x] + b*Csch[x])^(-2),x]","-\frac{2 b \tan ^{-1}\left(\frac{\sqrt{a-b} \tanh \left(\frac{x}{2}\right)}{\sqrt{a+b}}\right)}{a^2 \sqrt{a-b} \sqrt{a+b}}+\frac{x}{a^2}-\frac{\sinh (x)}{a (a \cosh (x)+b)}","-\frac{2 b \tan ^{-1}\left(\frac{\sqrt{a-b} \tanh \left(\frac{x}{2}\right)}{\sqrt{a+b}}\right)}{a^2 \sqrt{a-b} \sqrt{a+b}}+\frac{x}{a^2}-\frac{\sinh (x)}{a (a \cosh (x)+b)}",1,"x/a^2 - (2*b*ArcTan[(Sqrt[a - b]*Tanh[x/2])/Sqrt[a + b]])/(a^2*Sqrt[a - b]*Sqrt[a + b]) - Sinh[x]/(a*(b + a*Cosh[x]))","A",5,5,11,0.4545,1,"{4392, 2693, 2735, 2659, 205}"
651,1,50,0,0.107477,"\int \frac{1}{(a \coth (x)+b \text{csch}(x))^3} \, dx","Int[(a*Coth[x] + b*Csch[x])^(-3),x]","\frac{a^2-b^2}{2 a^3 (a \cosh (x)+b)^2}+\frac{2 b}{a^3 (a \cosh (x)+b)}+\frac{\log (a \cosh (x)+b)}{a^3}","\frac{a^2-b^2}{2 a^3 (a \cosh (x)+b)^2}+\frac{2 b}{a^3 (a \cosh (x)+b)}+\frac{\log (a \cosh (x)+b)}{a^3}",1,"(a^2 - b^2)/(2*a^3*(b + a*Cosh[x])^2) + (2*b)/(a^3*(b + a*Cosh[x])) + Log[b + a*Cosh[x]]/a^3","A",4,3,11,0.2727,1,"{4392, 2668, 697}"
652,1,159,0,0.3726704,"\int \frac{1}{(a \coth (x)+b \text{csch}(x))^4} \, dx","Int[(a*Coth[x] + b*Csch[x])^(-4),x]","-\frac{b \left(3 a^2-2 b^2\right) \tan ^{-1}\left(\frac{\sqrt{a-b} \tanh \left(\frac{x}{2}\right)}{\sqrt{a+b}}\right)}{a^4 (a-b)^{3/2} (a+b)^{3/2}}-\frac{b \sinh ^3(x)}{2 a \left(a^2-b^2\right) (a \cosh (x)+b)^2}-\frac{\sinh (x) \left(2 \left(a^2-b^2\right)-a b \cosh (x)\right)}{2 a^3 \left(a^2-b^2\right) (a \cosh (x)+b)}+\frac{x}{a^4}-\frac{\sinh ^3(x)}{3 a (a \cosh (x)+b)^3}","-\frac{b \left(3 a^2-2 b^2\right) \tan ^{-1}\left(\frac{\sqrt{a-b} \tanh \left(\frac{x}{2}\right)}{\sqrt{a+b}}\right)}{a^4 (a-b)^{3/2} (a+b)^{3/2}}-\frac{b \sinh ^3(x)}{2 a \left(a^2-b^2\right) (a \cosh (x)+b)^2}-\frac{\sinh (x) \left(2 \left(a^2-b^2\right)-a b \cosh (x)\right)}{2 a^3 \left(a^2-b^2\right) (a \cosh (x)+b)}+\frac{x}{a^4}-\frac{\sinh ^3(x)}{3 a (a \cosh (x)+b)^3}",1,"x/a^4 - (b*(3*a^2 - 2*b^2)*ArcTan[(Sqrt[a - b]*Tanh[x/2])/Sqrt[a + b]])/(a^4*(a - b)^(3/2)*(a + b)^(3/2)) - ((2*(a^2 - b^2) - a*b*Cosh[x])*Sinh[x])/(2*a^3*(a^2 - b^2)*(b + a*Cosh[x])) - Sinh[x]^3/(3*a*(b + a*Cosh[x])^3) - (b*Sinh[x]^3)/(2*a*(a^2 - b^2)*(b + a*Cosh[x])^2)","A",7,7,11,0.6364,1,"{4392, 2693, 2864, 2863, 2735, 2659, 205}"
653,1,98,0,0.15647,"\int \frac{1}{(a \coth (x)+b \text{csch}(x))^5} \, dx","Int[(a*Coth[x] + b*Csch[x])^(-5),x]","-\frac{\left(a^2-b^2\right)^2}{4 a^5 (a \cosh (x)+b)^4}-\frac{4 b \left(a^2-b^2\right)}{3 a^5 (a \cosh (x)+b)^3}+\frac{a^2-3 b^2}{a^5 (a \cosh (x)+b)^2}+\frac{4 b}{a^5 (a \cosh (x)+b)}+\frac{\log (a \cosh (x)+b)}{a^5}","-\frac{\left(a^2-b^2\right)^2}{4 a^5 (a \cosh (x)+b)^4}-\frac{4 b \left(a^2-b^2\right)}{3 a^5 (a \cosh (x)+b)^3}+\frac{a^2-3 b^2}{a^5 (a \cosh (x)+b)^2}+\frac{4 b}{a^5 (a \cosh (x)+b)}+\frac{\log (a \cosh (x)+b)}{a^5}",1,"-(a^2 - b^2)^2/(4*a^5*(b + a*Cosh[x])^4) - (4*b*(a^2 - b^2))/(3*a^5*(b + a*Cosh[x])^3) + (a^2 - 3*b^2)/(a^5*(b + a*Cosh[x])^2) + (4*b)/(a^5*(b + a*Cosh[x])) + Log[b + a*Cosh[x]]/a^5","A",4,3,11,0.2727,1,"{4392, 2668, 697}"
654,1,28,0,0.0670859,"\int (\coth (x)+\text{csch}(x))^5 \, dx","Int[(Coth[x] + Csch[x])^5,x]","\frac{4}{1-\cosh (x)}-\frac{2}{(1-\cosh (x))^2}+\log (1-\cosh (x))","\frac{4}{1-\cosh (x)}-\frac{2}{(1-\cosh (x))^2}+\log (1-\cosh (x))",1,"-2/(1 - Cosh[x])^2 + 4/(1 - Cosh[x]) + Log[1 - Cosh[x]]","A",4,3,7,0.4286,1,"{4392, 2667, 43}"
655,1,30,0,0.1137686,"\int (\coth (x)+\text{csch}(x))^4 \, dx","Int[(Coth[x] + Csch[x])^4,x]","x+\frac{2 \sinh ^3(x)}{3 (1-\cosh (x))^3}+\frac{2 \sinh (x)}{1-\cosh (x)}","x+\frac{2 \sinh ^3(x)}{3 (1-\cosh (x))^3}+\frac{2 \sinh (x)}{1-\cosh (x)}",1,"x + (2*Sinh[x])/(1 - Cosh[x]) + (2*Sinh[x]^3)/(3*(1 - Cosh[x])^3)","A",5,4,7,0.5714,1,"{4392, 2670, 2680, 8}"
656,1,18,0,0.056183,"\int (\coth (x)+\text{csch}(x))^3 \, dx","Int[(Coth[x] + Csch[x])^3,x]","\frac{2}{1-\cosh (x)}+\log (1-\cosh (x))","\frac{2}{1-\cosh (x)}+\log (1-\cosh (x))",1,"2/(1 - Cosh[x]) + Log[1 - Cosh[x]]","A",4,3,7,0.4286,1,"{4392, 2667, 43}"
657,1,14,0,0.0822005,"\int (\coth (x)+\text{csch}(x))^2 \, dx","Int[(Coth[x] + Csch[x])^2,x]","x+\frac{2 \sinh (x)}{1-\cosh (x)}","x+\frac{2 \sinh (x)}{1-\cosh (x)}",1,"x + (2*Sinh[x])/(1 - Cosh[x])","A",4,4,7,0.5714,1,"{4392, 2670, 2680, 8}"
658,1,9,0,0.0079258,"\int (\coth (x)+\text{csch}(x)) \, dx","Int[Coth[x] + Csch[x],x]","\log (\sinh (x))-\tanh ^{-1}(\cosh (x))","\log (\sinh (x))-\tanh ^{-1}(\cosh (x))",1,"-ArcTanh[Cosh[x]] + Log[Sinh[x]]","A",3,2,5,0.4000,1,"{3475, 3770}"
659,1,5,0,0.0318504,"\int \frac{1}{\coth (x)+\text{csch}(x)} \, dx","Int[(Coth[x] + Csch[x])^(-1),x]","\log (\cosh (x)+1)","\log (\cosh (x)+1)",1,"Log[1 + Cosh[x]]","A",3,3,7,0.4286,1,"{3160, 2667, 31}"
660,1,12,0,0.0494883,"\int \frac{1}{(\coth (x)+\text{csch}(x))^2} \, dx","Int[(Coth[x] + Csch[x])^(-2),x]","x-\frac{2 \sinh (x)}{\cosh (x)+1}","x-\frac{2 \sinh (x)}{\cosh (x)+1}",1,"x - (2*Sinh[x])/(1 + Cosh[x])","A",3,3,7,0.4286,1,"{4392, 2680, 8}"
661,1,14,0,0.0574001,"\int \frac{1}{(\coth (x)+\text{csch}(x))^3} \, dx","Int[(Coth[x] + Csch[x])^(-3),x]","\frac{2}{\cosh (x)+1}+\log (\cosh (x)+1)","\frac{2}{\cosh (x)+1}+\log (\cosh (x)+1)",1,"2/(1 + Cosh[x]) + Log[1 + Cosh[x]]","A",4,3,7,0.4286,1,"{4392, 2667, 43}"
662,1,26,0,0.0848153,"\int \frac{1}{(\coth (x)+\text{csch}(x))^4} \, dx","Int[(Coth[x] + Csch[x])^(-4),x]","x-\frac{2 \sinh ^3(x)}{3 (\cosh (x)+1)^3}-\frac{2 \sinh (x)}{\cosh (x)+1}","x-\frac{2 \sinh ^3(x)}{3 (\cosh (x)+1)^3}-\frac{2 \sinh (x)}{\cosh (x)+1}",1,"x - (2*Sinh[x])/(1 + Cosh[x]) - (2*Sinh[x]^3)/(3*(1 + Cosh[x])^3)","A",4,3,7,0.4286,1,"{4392, 2680, 8}"
663,1,22,0,0.0631212,"\int \frac{1}{(\coth (x)+\text{csch}(x))^5} \, dx","Int[(Coth[x] + Csch[x])^(-5),x]","\frac{4}{\cosh (x)+1}-\frac{2}{(\cosh (x)+1)^2}+\log (\cosh (x)+1)","\frac{4}{\cosh (x)+1}-\frac{2}{(\cosh (x)+1)^2}+\log (\cosh (x)+1)",1,"-2/(1 + Cosh[x])^2 + 4/(1 + Cosh[x]) + Log[1 + Cosh[x]]","A",4,3,7,0.4286,1,"{4392, 2667, 43}"
664,1,24,0,0.0626796,"\int (-\coth (x)+\text{csch}(x))^5 \, dx","Int[(-Coth[x] + Csch[x])^5,x]","-\frac{4}{\cosh (x)+1}+\frac{2}{(\cosh (x)+1)^2}-\log (\cosh (x)+1)","-\frac{4}{\cosh (x)+1}+\frac{2}{(\cosh (x)+1)^2}-\log (\cosh (x)+1)",1,"2/(1 + Cosh[x])^2 - 4/(1 + Cosh[x]) - Log[1 + Cosh[x]]","A",4,3,9,0.3333,1,"{4392, 2667, 43}"
665,1,26,0,0.117281,"\int (-\coth (x)+\text{csch}(x))^4 \, dx","Int[(-Coth[x] + Csch[x])^4,x]","x-\frac{2 \sinh ^3(x)}{3 (\cosh (x)+1)^3}-\frac{2 \sinh (x)}{\cosh (x)+1}","x-\frac{2 \sinh ^3(x)}{3 (\cosh (x)+1)^3}-\frac{2 \sinh (x)}{\cosh (x)+1}",1,"x - (2*Sinh[x])/(1 + Cosh[x]) - (2*Sinh[x]^3)/(3*(1 + Cosh[x])^3)","A",5,4,9,0.4444,1,"{4392, 2670, 2680, 8}"
666,1,16,0,0.0581354,"\int (-\coth (x)+\text{csch}(x))^3 \, dx","Int[(-Coth[x] + Csch[x])^3,x]","-\frac{2}{\cosh (x)+1}-\log (\cosh (x)+1)","-\frac{2}{\cosh (x)+1}-\log (\cosh (x)+1)",1,"-2/(1 + Cosh[x]) - Log[1 + Cosh[x]]","A",4,3,9,0.3333,1,"{4392, 2667, 43}"
667,1,12,0,0.0836184,"\int (-\coth (x)+\text{csch}(x))^2 \, dx","Int[(-Coth[x] + Csch[x])^2,x]","x-\frac{2 \sinh (x)}{\cosh (x)+1}","x-\frac{2 \sinh (x)}{\cosh (x)+1}",1,"x - (2*Sinh[x])/(1 + Cosh[x])","A",4,4,9,0.4444,1,"{4392, 2670, 2680, 8}"
668,1,11,0,0.0083718,"\int (-\coth (x)+\text{csch}(x)) \, dx","Int[-Coth[x] + Csch[x],x]","-\log (\sinh (x))-\tanh ^{-1}(\cosh (x))","-\log (\sinh (x))-\tanh ^{-1}(\cosh (x))",1,"-ArcTanh[Cosh[x]] - Log[Sinh[x]]","A",3,2,7,0.2857,1,"{3475, 3770}"
669,1,9,0,0.0342147,"\int \frac{1}{-\coth (x)+\text{csch}(x)} \, dx","Int[(-Coth[x] + Csch[x])^(-1),x]","-\log (1-\cosh (x))","-\log (1-\cosh (x))",1,"-Log[1 - Cosh[x]]","A",3,3,9,0.3333,1,"{3160, 2667, 31}"
670,1,14,0,0.0513362,"\int \frac{1}{(-\coth (x)+\text{csch}(x))^2} \, dx","Int[(-Coth[x] + Csch[x])^(-2),x]","x+\frac{2 \sinh (x)}{1-\cosh (x)}","x+\frac{2 \sinh (x)}{1-\cosh (x)}",1,"x + (2*Sinh[x])/(1 - Cosh[x])","A",3,3,9,0.3333,1,"{4392, 2680, 8}"
671,1,20,0,0.0586499,"\int \frac{1}{(-\coth (x)+\text{csch}(x))^3} \, dx","Int[(-Coth[x] + Csch[x])^(-3),x]","-\frac{2}{1-\cosh (x)}-\log (1-\cosh (x))","-\frac{2}{1-\cosh (x)}-\log (1-\cosh (x))",1,"-2/(1 - Cosh[x]) - Log[1 - Cosh[x]]","A",4,3,9,0.3333,1,"{4392, 2667, 43}"
672,1,30,0,0.0830563,"\int \frac{1}{(-\coth (x)+\text{csch}(x))^4} \, dx","Int[(-Coth[x] + Csch[x])^(-4),x]","x+\frac{2 \sinh ^3(x)}{3 (1-\cosh (x))^3}+\frac{2 \sinh (x)}{1-\cosh (x)}","x+\frac{2 \sinh ^3(x)}{3 (1-\cosh (x))^3}+\frac{2 \sinh (x)}{1-\cosh (x)}",1,"x + (2*Sinh[x])/(1 - Cosh[x]) + (2*Sinh[x]^3)/(3*(1 - Cosh[x])^3)","A",4,3,9,0.3333,1,"{4392, 2680, 8}"
673,1,30,0,0.0624783,"\int \frac{1}{(-\coth (x)+\text{csch}(x))^5} \, dx","Int[(-Coth[x] + Csch[x])^(-5),x]","-\frac{4}{1-\cosh (x)}+\frac{2}{(1-\cosh (x))^2}-\log (1-\cosh (x))","-\frac{4}{1-\cosh (x)}+\frac{2}{(1-\cosh (x))^2}-\log (1-\cosh (x))",1,"2/(1 - Cosh[x])^2 - 4/(1 - Cosh[x]) - Log[1 - Cosh[x]]","A",4,3,9,0.3333,1,"{4392, 2667, 43}"
674,1,8,0,0.0075202,"\int (\text{csch}(x)+\sinh (x)) \, dx","Int[Csch[x] + Sinh[x],x]","\cosh (x)-\tanh ^{-1}(\cosh (x))","\cosh (x)-\tanh ^{-1}(\cosh (x))",1,"-ArcTanh[Cosh[x]] + Cosh[x]","A",3,2,5,0.4000,1,"{3770, 2638}"
675,1,22,0,0.0249942,"\int (\text{csch}(x)+\sinh (x))^2 \, dx","Int[(Csch[x] + Sinh[x])^2,x]","\frac{3 x}{2}-\frac{3 \coth (x)}{2}+\frac{1}{2} \cosh ^2(x) \coth (x)","\frac{3 x}{2}-\frac{3 \coth (x)}{2}+\frac{1}{2} \cosh ^2(x) \coth (x)",1,"(3*x)/2 - (3*Coth[x])/2 + (Cosh[x]^2*Coth[x])/2","A",4,3,7,0.4286,1,"{290, 325, 206}"
676,1,34,0,0.0517341,"\int (\text{csch}(x)+\sinh (x))^3 \, dx","Int[(Csch[x] + Sinh[x])^3,x]","\frac{5 \cosh ^3(x)}{6}+\frac{5 \cosh (x)}{2}-\frac{1}{2} \cosh ^3(x) \coth ^2(x)-\frac{5}{2} \tanh ^{-1}(\cosh (x))","\frac{5 \cosh ^3(x)}{6}+\frac{5 \cosh (x)}{2}-\frac{1}{2} \cosh ^3(x) \coth ^2(x)-\frac{5}{2} \tanh ^{-1}(\cosh (x))",1,"(-5*ArcTanh[Cosh[x]])/2 + (5*Cosh[x])/2 + (5*Cosh[x]^3)/6 - (Cosh[x]^3*Coth[x]^2)/2","A",6,5,7,0.7143,1,"{4397, 2592, 288, 302, 206}"
677,1,13,0,0.0700452,"\int \sqrt{\text{csch}(x)+\sinh (x)} \, dx","Int[Sqrt[Csch[x] + Sinh[x]],x]","2 \tanh (x) \sqrt{\cosh (x) \coth (x)}","2 \tanh (x) \sqrt{\cosh (x) \coth (x)}",1,"2*Sqrt[Cosh[x]*Coth[x]]*Tanh[x]","A",4,4,9,0.4444,1,"{4397, 4398, 4400, 2589}"
678,1,31,0,0.1222854,"\int (\text{csch}(x)+\sinh (x))^{3/2} \, dx","Int[(Csch[x] + Sinh[x])^(3/2),x]","\frac{2}{3} \cosh (x) \sqrt{\cosh (x) \coth (x)}-\frac{8}{3} \text{sech}(x) \sqrt{\cosh (x) \coth (x)}","\frac{2}{3} \cosh (x) \sqrt{\cosh (x) \coth (x)}-\frac{8}{3} \text{sech}(x) \sqrt{\cosh (x) \coth (x)}",1,"(2*Cosh[x]*Sqrt[Cosh[x]*Coth[x]])/3 - (8*Sqrt[Cosh[x]*Coth[x]]*Sech[x])/3","A",5,5,9,0.5556,1,"{4397, 4398, 4400, 2598, 2589}"
679,1,50,0,0.1568509,"\int (\text{csch}(x)+\sinh (x))^{5/2} \, dx","Int[(Csch[x] + Sinh[x])^(5/2),x]","\frac{2}{5} \cosh ^2(x) \coth (x) \sqrt{\cosh (x) \coth (x)}-\frac{16}{15} \coth (x) \sqrt{\cosh (x) \coth (x)}+\frac{64}{15} \tanh (x) \sqrt{\cosh (x) \coth (x)}","\frac{2}{5} \cosh ^2(x) \coth (x) \sqrt{\cosh (x) \coth (x)}-\frac{16}{15} \coth (x) \sqrt{\cosh (x) \coth (x)}+\frac{64}{15} \tanh (x) \sqrt{\cosh (x) \coth (x)}",1,"(-16*Coth[x]*Sqrt[Cosh[x]*Coth[x]])/15 + (2*Cosh[x]^2*Coth[x]*Sqrt[Cosh[x]*Coth[x]])/5 + (64*Sqrt[Cosh[x]*Coth[x]]*Tanh[x])/15","A",6,6,9,0.6667,1,"{4397, 4398, 4400, 2598, 2594, 2589}"
680,1,8,0,0.0064484,"\int (-\cosh (x)+\text{sech}(x)) \, dx","Int[-Cosh[x] + Sech[x],x]","\tan ^{-1}(\sinh (x))-\sinh (x)","\tan ^{-1}(\sinh (x))-\sinh (x)",1,"ArcTan[Sinh[x]] - Sinh[x]","A",3,2,7,0.2857,1,"{2637, 3770}"
681,1,22,0,0.0249294,"\int (-\cosh (x)+\text{sech}(x))^2 \, dx","Int[(-Cosh[x] + Sech[x])^2,x]","-\frac{3 x}{2}+\frac{3 \tanh (x)}{2}+\frac{1}{2} \sinh ^2(x) \tanh (x)","-\frac{3 x}{2}+\frac{3 \tanh (x)}{2}+\frac{1}{2} \sinh ^2(x) \tanh (x)",1,"(-3*x)/2 + (3*Tanh[x])/2 + (Sinh[x]^2*Tanh[x])/2","A",4,3,9,0.3333,1,"{288, 321, 206}"
682,1,34,0,0.0475908,"\int (-\cosh (x)+\text{sech}(x))^3 \, dx","Int[(-Cosh[x] + Sech[x])^3,x]","-\frac{5 \sinh ^3(x)}{6}+\frac{5 \sinh (x)}{2}+\frac{1}{2} \sinh ^3(x) \tanh ^2(x)-\frac{5}{2} \tan ^{-1}(\sinh (x))","-\frac{5 \sinh ^3(x)}{6}+\frac{5 \sinh (x)}{2}+\frac{1}{2} \sinh ^3(x) \tanh ^2(x)-\frac{5}{2} \tan ^{-1}(\sinh (x))",1,"(-5*ArcTan[Sinh[x]])/2 + (5*Sinh[x])/2 - (5*Sinh[x]^3)/6 + (Sinh[x]^3*Tanh[x]^2)/2","A",6,5,9,0.5556,1,"{4397, 2592, 288, 302, 203}"
683,1,14,0,0.0568221,"\int \sqrt{-\cosh (x)+\text{sech}(x)} \, dx","Int[Sqrt[-Cosh[x] + Sech[x]],x]","2 \coth (x) \sqrt{-\sinh (x) \tanh (x)}","2 \coth (x) \sqrt{-\sinh (x) \tanh (x)}",1,"2*Coth[x]*Sqrt[-(Sinh[x]*Tanh[x])]","A",3,3,11,0.2727,1,"{4397, 4400, 2589}"
684,1,33,0,0.0967737,"\int (-\cosh (x)+\text{sech}(x))^{3/2} \, dx","Int[(-Cosh[x] + Sech[x])^(3/2),x]","-\frac{2}{3} \sinh (x) \sqrt{-\sinh (x) \tanh (x)}-\frac{8}{3} \text{csch}(x) \sqrt{-\sinh (x) \tanh (x)}","-\frac{2}{3} \sinh (x) \sqrt{-\sinh (x) \tanh (x)}-\frac{8}{3} \text{csch}(x) \sqrt{-\sinh (x) \tanh (x)}",1,"(-8*Csch[x]*Sqrt[-(Sinh[x]*Tanh[x])])/3 - (2*Sinh[x]*Sqrt[-(Sinh[x]*Tanh[x])])/3","A",4,4,11,0.3636,1,"{4397, 4400, 2598, 2589}"
685,1,53,0,0.1257425,"\int (-\cosh (x)+\text{sech}(x))^{5/2} \, dx","Int[(-Cosh[x] + Sech[x])^(5/2),x]","\frac{2}{5} \sinh ^2(x) \tanh (x) \sqrt{-\sinh (x) \tanh (x)}+\frac{16}{15} \tanh (x) \sqrt{-\sinh (x) \tanh (x)}-\frac{64}{15} \coth (x) \sqrt{-\sinh (x) \tanh (x)}","\frac{2}{5} \sinh ^2(x) \tanh (x) \sqrt{-\sinh (x) \tanh (x)}+\frac{16}{15} \tanh (x) \sqrt{-\sinh (x) \tanh (x)}-\frac{64}{15} \coth (x) \sqrt{-\sinh (x) \tanh (x)}",1,"(-64*Coth[x]*Sqrt[-(Sinh[x]*Tanh[x])])/15 + (16*Tanh[x]*Sqrt[-(Sinh[x]*Tanh[x])])/15 + (2*Sinh[x]^2*Tanh[x]*Sqrt[-(Sinh[x]*Tanh[x])])/5","A",5,5,11,0.4545,1,"{4397, 4400, 2598, 2594, 2589}"
686,1,24,0,0.0754002,"\int \frac{1}{\sinh (x)+\tanh (x)} \, dx","Int[(Sinh[x] + Tanh[x])^(-1),x]","\frac{\text{csch}^2(x)}{2}-\frac{1}{2} \tanh ^{-1}(\cosh (x))-\frac{1}{2} \coth (x) \text{csch}(x)","-\frac{1}{2 (\cosh (x)+1)}-\frac{1}{2} \tanh ^{-1}(\cosh (x))",1,"-ArcTanh[Cosh[x]]/2 - (Coth[x]*Csch[x])/2 + Csch[x]^2/2","A",6,6,7,0.8571,1,"{4397, 2706, 2606, 30, 2611, 3770}"
687,1,24,0,0.0732545,"\int \frac{1}{\sinh (x)-\tanh (x)} \, dx","Int[(Sinh[x] - Tanh[x])^(-1),x]","-\frac{1}{2} \text{csch}^2(x)-\frac{1}{2} \tanh ^{-1}(\cosh (x))-\frac{1}{2} \coth (x) \text{csch}(x)","\frac{1}{2 (1-\cosh (x))}-\frac{1}{2} \tanh ^{-1}(\cosh (x))",1,"-ArcTanh[Cosh[x]]/2 - (Coth[x]*Csch[x])/2 - Csch[x]^2/2","A",6,6,9,0.6667,1,"{4397, 2706, 2606, 30, 2611, 3770}"
688,1,39,0,0.0667874,"\int \frac{\sinh (x)}{a \cosh (x)+b \sinh (x)} \, dx","Int[Sinh[x]/(a*Cosh[x] + b*Sinh[x]),x]","\frac{a \log (a \cosh (x)+b \sinh (x))}{a^2-b^2}-\frac{b x}{a^2-b^2}","\frac{a \log (a \cosh (x)+b \sinh (x))}{a^2-b^2}-\frac{b x}{a^2-b^2}",1,"-((b*x)/(a^2 - b^2)) + (a*Log[a*Cosh[x] + b*Sinh[x]])/(a^2 - b^2)","A",2,2,14,0.1429,1,"{3097, 3133}"
689,1,74,0,0.0826827,"\int \frac{\sinh ^2(x)}{a \cosh (x)+b \sinh (x)} \, dx","Int[Sinh[x]^2/(a*Cosh[x] + b*Sinh[x]),x]","\frac{a \sinh (x)}{a^2-b^2}-\frac{b \cosh (x)}{a^2-b^2}-\frac{a^2 \tan ^{-1}\left(\frac{a \sinh (x)+b \cosh (x)}{\sqrt{a^2-b^2}}\right)}{\left(a^2-b^2\right)^{3/2}}","\frac{a \sinh (x)}{a^2-b^2}-\frac{b \cosh (x)}{a^2-b^2}-\frac{a^2 \tan ^{-1}\left(\frac{a \sinh (x)+b \cosh (x)}{\sqrt{a^2-b^2}}\right)}{\left(a^2-b^2\right)^{3/2}}",1,"-((a^2*ArcTan[(b*Cosh[x] + a*Sinh[x])/Sqrt[a^2 - b^2]])/(a^2 - b^2)^(3/2)) - (b*Cosh[x])/(a^2 - b^2) + (a*Sinh[x])/(a^2 - b^2)","A",4,4,16,0.2500,1,"{3099, 3074, 206, 2638}"
690,1,101,0,0.1326717,"\int \frac{\sinh ^3(x)}{a \cosh (x)+b \sinh (x)} \, dx","Int[Sinh[x]^3/(a*Cosh[x] + b*Sinh[x]),x]","\frac{a^2 b x}{\left(a^2-b^2\right)^2}+\frac{b x}{2 \left(a^2-b^2\right)}+\frac{a \sinh ^2(x)}{2 \left(a^2-b^2\right)}-\frac{b \sinh (x) \cosh (x)}{2 \left(a^2-b^2\right)}-\frac{a^3 \log (a \cosh (x)+b \sinh (x))}{\left(a^2-b^2\right)^2}","\frac{a^2 b x}{\left(a^2-b^2\right)^2}+\frac{b x}{2 \left(a^2-b^2\right)}+\frac{a \sinh ^2(x)}{2 \left(a^2-b^2\right)}-\frac{b \sinh (x) \cosh (x)}{2 \left(a^2-b^2\right)}-\frac{a^3 \log (a \cosh (x)+b \sinh (x))}{\left(a^2-b^2\right)^2}",1,"(a^2*b*x)/(a^2 - b^2)^2 + (b*x)/(2*(a^2 - b^2)) - (a^3*Log[a*Cosh[x] + b*Sinh[x]])/(a^2 - b^2)^2 - (b*Cosh[x]*Sinh[x])/(2*(a^2 - b^2)) + (a*Sinh[x]^2)/(2*(a^2 - b^2))","A",5,5,16,0.3125,1,"{3099, 3097, 3133, 2635, 8}"
691,1,39,0,0.0617367,"\int \frac{\cosh (x)}{a \cosh (x)+b \sinh (x)} \, dx","Int[Cosh[x]/(a*Cosh[x] + b*Sinh[x]),x]","\frac{a x}{a^2-b^2}-\frac{b \log (a \cosh (x)+b \sinh (x))}{a^2-b^2}","\frac{a x}{a^2-b^2}-\frac{b \log (a \cosh (x)+b \sinh (x))}{a^2-b^2}",1,"(a*x)/(a^2 - b^2) - (b*Log[a*Cosh[x] + b*Sinh[x]])/(a^2 - b^2)","A",2,2,14,0.1429,1,"{3098, 3133}"
692,1,74,0,0.0785008,"\int \frac{\cosh ^2(x)}{a \cosh (x)+b \sinh (x)} \, dx","Int[Cosh[x]^2/(a*Cosh[x] + b*Sinh[x]),x]","\frac{a \sinh (x)}{a^2-b^2}-\frac{b \cosh (x)}{a^2-b^2}-\frac{b^2 \tan ^{-1}\left(\frac{a \sinh (x)+b \cosh (x)}{\sqrt{a^2-b^2}}\right)}{\left(a^2-b^2\right)^{3/2}}","\frac{a \sinh (x)}{a^2-b^2}-\frac{b \cosh (x)}{a^2-b^2}-\frac{b^2 \tan ^{-1}\left(\frac{a \sinh (x)+b \cosh (x)}{\sqrt{a^2-b^2}}\right)}{\left(a^2-b^2\right)^{3/2}}",1,"-((b^2*ArcTan[(b*Cosh[x] + a*Sinh[x])/Sqrt[a^2 - b^2]])/(a^2 - b^2)^(3/2)) - (b*Cosh[x])/(a^2 - b^2) + (a*Sinh[x])/(a^2 - b^2)","A",4,4,16,0.2500,1,"{3100, 2637, 3074, 206}"
693,1,101,0,0.116145,"\int \frac{\cosh ^3(x)}{a \cosh (x)+b \sinh (x)} \, dx","Int[Cosh[x]^3/(a*Cosh[x] + b*Sinh[x]),x]","-\frac{a b^2 x}{\left(a^2-b^2\right)^2}+\frac{a x}{2 \left(a^2-b^2\right)}-\frac{b \cosh ^2(x)}{2 \left(a^2-b^2\right)}+\frac{a \sinh (x) \cosh (x)}{2 \left(a^2-b^2\right)}+\frac{b^3 \log (a \cosh (x)+b \sinh (x))}{\left(a^2-b^2\right)^2}","-\frac{a b^2 x}{\left(a^2-b^2\right)^2}+\frac{a x}{2 \left(a^2-b^2\right)}-\frac{b \cosh ^2(x)}{2 \left(a^2-b^2\right)}+\frac{a \sinh (x) \cosh (x)}{2 \left(a^2-b^2\right)}+\frac{b^3 \log (a \cosh (x)+b \sinh (x))}{\left(a^2-b^2\right)^2}",1,"-((a*b^2*x)/(a^2 - b^2)^2) + (a*x)/(2*(a^2 - b^2)) - (b*Cosh[x]^2)/(2*(a^2 - b^2)) + (b^3*Log[a*Cosh[x] + b*Sinh[x]])/(a^2 - b^2)^2 + (a*Cosh[x]*Sinh[x])/(2*(a^2 - b^2))","A",5,5,16,0.3125,1,"{3100, 2635, 8, 3098, 3133}"
694,1,50,0,0.0964272,"\int \frac{\tanh (x)}{b \cosh (x)+a \sinh (x)} \, dx","Int[Tanh[x]/(b*Cosh[x] + a*Sinh[x]),x]","\frac{b \tanh ^{-1}\left(\frac{a \cosh (x)+b \sinh (x)}{\sqrt{a^2-b^2}}\right)}{a \sqrt{a^2-b^2}}+\frac{\tan ^{-1}(\sinh (x))}{a}","\frac{b \tanh ^{-1}\left(\frac{a \cosh (x)+b \sinh (x)}{\sqrt{a^2-b^2}}\right)}{a \sqrt{a^2-b^2}}+\frac{\tan ^{-1}(\sinh (x))}{a}",1,"ArcTan[Sinh[x]]/a + (b*ArcTanh[(a*Cosh[x] + b*Sinh[x])/Sqrt[a^2 - b^2]])/(a*Sqrt[a^2 - b^2])","A",5,4,14,0.2857,1,"{3110, 3770, 3074, 204}"
695,1,51,0,0.1001523,"\int \frac{\coth (x)}{b \cosh (x)+a \sinh (x)} \, dx","Int[Coth[x]/(b*Cosh[x] + a*Sinh[x]),x]","\frac{a \tanh ^{-1}\left(\frac{a \cosh (x)+b \sinh (x)}{\sqrt{a^2-b^2}}\right)}{b \sqrt{a^2-b^2}}-\frac{\tanh ^{-1}(\cosh (x))}{b}","\frac{a \tanh ^{-1}\left(\frac{a \cosh (x)+b \sinh (x)}{\sqrt{a^2-b^2}}\right)}{b \sqrt{a^2-b^2}}-\frac{\tanh ^{-1}(\cosh (x))}{b}",1,"-(ArcTanh[Cosh[x]]/b) + (a*ArcTanh[(a*Cosh[x] + b*Sinh[x])/Sqrt[a^2 - b^2]])/(b*Sqrt[a^2 - b^2])","A",5,4,14,0.2857,1,"{3110, 3770, 3074, 206}"
696,1,66,0,0.0626764,"\int \frac{\sinh (x)}{(a \cosh (x)+b \sinh (x))^2} \, dx","Int[Sinh[x]/(a*Cosh[x] + b*Sinh[x])^2,x]","-\frac{a}{\left(a^2-b^2\right) (a \cosh (x)+b \sinh (x))}-\frac{b \tan ^{-1}\left(\frac{a \sinh (x)+b \cosh (x)}{\sqrt{a^2-b^2}}\right)}{\left(a^2-b^2\right)^{3/2}}","-\frac{a}{\left(a^2-b^2\right) (a \cosh (x)+b \sinh (x))}-\frac{b \tan ^{-1}\left(\frac{a \sinh (x)+b \cosh (x)}{\sqrt{a^2-b^2}}\right)}{\left(a^2-b^2\right)^{3/2}}",1,"-((b*ArcTan[(b*Cosh[x] + a*Sinh[x])/Sqrt[a^2 - b^2]])/(a^2 - b^2)^(3/2)) - a/((a^2 - b^2)*(a*Cosh[x] + b*Sinh[x]))","A",3,3,14,0.2143,1,"{3154, 3074, 206}"
697,1,68,0,0.1380305,"\int \frac{\sinh ^2(x)}{(a \cosh (x)+b \sinh (x))^2} \, dx","Int[Sinh[x]^2/(a*Cosh[x] + b*Sinh[x])^2,x]","\frac{x \left(a^2+b^2\right)}{\left(a^2-b^2\right)^2}-\frac{a}{\left(a^2-b^2\right) (a \coth (x)+b)}-\frac{2 a b \log (a \cosh (x)+b \sinh (x))}{\left(a^2-b^2\right)^2}","\frac{x \left(a^2+b^2\right)}{\left(a^2-b^2\right)^2}-\frac{a}{\left(a^2-b^2\right) (a \coth (x)+b)}-\frac{2 a b \log (a \cosh (x)+b \sinh (x))}{\left(a^2-b^2\right)^2}",1,"((a^2 + b^2)*x)/(a^2 - b^2)^2 - a/((a^2 - b^2)*(b + a*Coth[x])) - (2*a*b*Log[a*Cosh[x] + b*Sinh[x]])/(a^2 - b^2)^2","A",4,4,16,0.2500,1,"{3085, 3483, 3531, 3530}"
698,1,301,0,1.2249946,"\int \frac{\sinh ^3(x)}{(a \cosh (x)+b \sinh (x))^2} \, dx","Int[Sinh[x]^3/(a*Cosh[x] + b*Sinh[x])^2,x]","\frac{3 a^3 \sinh (x)}{b^3 \left(a^2-b^2\right)}-\frac{3 a^2 \cosh (x)}{b^2 \left(a^2-b^2\right)}+\frac{2 a^2 \left(a+b \tanh \left(\frac{x}{2}\right)\right)}{\left(a^2-b^2\right)^2 \left(a \tanh ^2\left(\frac{x}{2}\right)+a+2 b \tanh \left(\frac{x}{2}\right)\right)}-\frac{a^3}{b^3 (a+b)^2 \left(1-\tanh \left(\frac{x}{2}\right)\right)}+\frac{a^3}{b^3 (a-b)^2 \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{2 a^2 \left(3 a^2-b^2\right) \tan ^{-1}\left(\frac{a \tanh \left(\frac{x}{2}\right)+b}{\sqrt{a^2-b^2}}\right)}{b \left(a^2-b^2\right)^{5/2}}+\frac{2 a^2 b \tan ^{-1}\left(\frac{a \tanh \left(\frac{x}{2}\right)+b}{\sqrt{a^2-b^2}}\right)}{\left(a^2-b^2\right)^{5/2}}-\frac{3 a^2 \tan ^{-1}\left(\frac{a \sinh (x)+b \cosh (x)}{\sqrt{a^2-b^2}}\right)}{b \left(a^2-b^2\right)^{3/2}}-\frac{2 a \sinh (x)}{b^3}+\frac{\cosh (x)}{b^2}","\frac{a \left(a^2+2 b^2\right) \sinh (x)}{b^3 \left(a^2-b^2\right)}+\frac{\left(2 a^2+b^2\right) \cosh (x)}{b^4-a^2 b^2}+\frac{2 a^2 \left(a+b \tanh \left(\frac{x}{2}\right)\right)}{\left(a^2-b^2\right)^2 \left(a \tanh ^2\left(\frac{x}{2}\right)+a+2 b \tanh \left(\frac{x}{2}\right)\right)}-\frac{a^3}{b^3 (a+b)^2 \left(1-\tanh \left(\frac{x}{2}\right)\right)}+\frac{a^3}{b^3 (a-b)^2 \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{3 a^2 b \tan ^{-1}\left(\frac{a \sinh (x)+b \cosh (x)}{\sqrt{a^2-b^2}}\right)}{\left(a^2-b^2\right)^{5/2}}",1,"(-3*a^2*ArcTan[(b*Cosh[x] + a*Sinh[x])/Sqrt[a^2 - b^2]])/(b*(a^2 - b^2)^(3/2)) + (2*a^2*b*ArcTan[(b + a*Tanh[x/2])/Sqrt[a^2 - b^2]])/(a^2 - b^2)^(5/2) + (2*a^2*(3*a^2 - b^2)*ArcTan[(b + a*Tanh[x/2])/Sqrt[a^2 - b^2]])/(b*(a^2 - b^2)^(5/2)) + Cosh[x]/b^2 - (3*a^2*Cosh[x])/(b^2*(a^2 - b^2)) - (2*a*Sinh[x])/b^3 + (3*a^3*Sinh[x])/(b^3*(a^2 - b^2)) - a^3/(b^3*(a + b)^2*(1 - Tanh[x/2])) + a^3/((a - b)^2*b^3*(1 + Tanh[x/2])) + (2*a^2*(a + b*Tanh[x/2]))/((a^2 - b^2)^2*(a + 2*b*Tanh[x/2] + a*Tanh[x/2]^2))","A",16,10,16,0.6250,1,"{4401, 2637, 2638, 6742, 638, 618, 204, 3100, 3074, 206}"
699,1,64,0,0.0550593,"\int \frac{\cosh (x)}{(a \cosh (x)+b \sinh (x))^2} \, dx","Int[Cosh[x]/(a*Cosh[x] + b*Sinh[x])^2,x]","\frac{b}{\left(a^2-b^2\right) (a \cosh (x)+b \sinh (x))}+\frac{a \tan ^{-1}\left(\frac{a \sinh (x)+b \cosh (x)}{\sqrt{a^2-b^2}}\right)}{\left(a^2-b^2\right)^{3/2}}","\frac{b}{\left(a^2-b^2\right) (a \cosh (x)+b \sinh (x))}+\frac{a \tan ^{-1}\left(\frac{a \sinh (x)+b \cosh (x)}{\sqrt{a^2-b^2}}\right)}{\left(a^2-b^2\right)^{3/2}}",1,"(a*ArcTan[(b*Cosh[x] + a*Sinh[x])/Sqrt[a^2 - b^2]])/(a^2 - b^2)^(3/2) + b/((a^2 - b^2)*(a*Cosh[x] + b*Sinh[x]))","A",3,3,14,0.2143,1,"{3155, 3074, 206}"
700,1,67,0,0.1264742,"\int \frac{\cosh ^2(x)}{(a \cosh (x)+b \sinh (x))^2} \, dx","Int[Cosh[x]^2/(a*Cosh[x] + b*Sinh[x])^2,x]","\frac{x \left(a^2+b^2\right)}{\left(a^2-b^2\right)^2}+\frac{b}{\left(a^2-b^2\right) (a+b \tanh (x))}-\frac{2 a b \log (a \cosh (x)+b \sinh (x))}{\left(a^2-b^2\right)^2}","\frac{x \left(a^2+b^2\right)}{\left(a^2-b^2\right)^2}+\frac{b}{\left(a^2-b^2\right) (a+b \tanh (x))}-\frac{2 a b \log (a \cosh (x)+b \sinh (x))}{\left(a^2-b^2\right)^2}",1,"((a^2 + b^2)*x)/(a^2 - b^2)^2 - (2*a*b*Log[a*Cosh[x] + b*Sinh[x]])/(a^2 - b^2)^2 + b/((a^2 - b^2)*(a + b*Tanh[x]))","A",4,4,16,0.2500,1,"{3086, 3483, 3531, 3530}"
701,1,193,0,0.7815123,"\int \frac{\cosh ^3(x)}{(a \cosh (x)+b \sinh (x))^2} \, dx","Int[Cosh[x]^3/(a*Cosh[x] + b*Sinh[x])^2,x]","-\frac{2 b^3 \left(a+b \tanh \left(\frac{x}{2}\right)\right)}{a \left(a^2-b^2\right)^2 \left(a \tanh ^2\left(\frac{x}{2}\right)+a+2 b \tanh \left(\frac{x}{2}\right)\right)}-\frac{2 b^4 \tan ^{-1}\left(\frac{a \tanh \left(\frac{x}{2}\right)+b}{\sqrt{a^2-b^2}}\right)}{a \left(a^2-b^2\right)^{5/2}}-\frac{2 b^2 \left(3 a^2-b^2\right) \tan ^{-1}\left(\frac{a \tanh \left(\frac{x}{2}\right)+b}{\sqrt{a^2-b^2}}\right)}{a \left(a^2-b^2\right)^{5/2}}+\frac{1}{(a+b)^2 \left(1-\tanh \left(\frac{x}{2}\right)\right)}-\frac{1}{(a-b)^2 \left(\tanh \left(\frac{x}{2}\right)+1\right)}","-\frac{2 b^3 \left(a+b \tanh \left(\frac{x}{2}\right)\right)}{a \left(a^2-b^2\right)^2 \left(a \tanh ^2\left(\frac{x}{2}\right)+a+2 b \tanh \left(\frac{x}{2}\right)\right)}-\frac{3 a b^2 \tan ^{-1}\left(\frac{a \sinh (x)+b \cosh (x)}{\sqrt{a^2-b^2}}\right)}{\left(a^2-b^2\right)^{5/2}}+\frac{1}{(a+b)^2 \left(1-\tanh \left(\frac{x}{2}\right)\right)}-\frac{1}{(a-b)^2 \left(\tanh \left(\frac{x}{2}\right)+1\right)}",1,"(-2*b^4*ArcTan[(b + a*Tanh[x/2])/Sqrt[a^2 - b^2]])/(a*(a^2 - b^2)^(5/2)) - (2*b^2*(3*a^2 - b^2)*ArcTan[(b + a*Tanh[x/2])/Sqrt[a^2 - b^2]])/(a*(a^2 - b^2)^(5/2)) + 1/((a + b)^2*(1 - Tanh[x/2])) - 1/((a - b)^2*(1 + Tanh[x/2])) - (2*b^3*(a + b*Tanh[x/2]))/(a*(a^2 - b^2)^2*(a + 2*b*Tanh[x/2] + a*Tanh[x/2]^2))","A",8,4,16,0.2500,1,"{6742, 638, 618, 204}"
702,1,19,0,0.0321619,"\int \frac{\sinh (x)}{(a \cosh (x)+b \sinh (x))^3} \, dx","Int[Sinh[x]/(a*Cosh[x] + b*Sinh[x])^3,x]","\frac{\tanh ^2(x)}{2 a (a+b \tanh (x))^2}","\frac{\tanh ^2(x)}{2 a (a+b \tanh (x))^2}",1,"Tanh[x]^2/(2*a*(a + b*Tanh[x])^2)","A",2,2,14,0.1429,1,"{3087, 37}"
703,1,104,0,0.2376184,"\int \frac{\sinh ^3(x)}{(a \cosh (x)+b \sinh (x))^3} \, dx","Int[Sinh[x]^3/(a*Cosh[x] + b*Sinh[x])^3,x]","-\frac{b x \left(3 a^2+b^2\right)}{\left(a^2-b^2\right)^3}+\frac{2 a b}{\left(a^2-b^2\right)^2 (a \coth (x)+b)}-\frac{a}{2 \left(a^2-b^2\right) (a \coth (x)+b)^2}+\frac{a \left(a^2+3 b^2\right) \log (a \cosh (x)+b \sinh (x))}{\left(a^2-b^2\right)^3}","-\frac{b x \left(3 a^2+b^2\right)}{\left(a^2-b^2\right)^3}+\frac{2 a b}{\left(a^2-b^2\right)^2 (a \coth (x)+b)}-\frac{a}{2 \left(a^2-b^2\right) (a \coth (x)+b)^2}+\frac{a \left(a^2+3 b^2\right) \log (a \cosh (x)+b \sinh (x))}{\left(a^2-b^2\right)^3}",1,"-((b*(3*a^2 + b^2)*x)/(a^2 - b^2)^3) - a/(2*(a^2 - b^2)*(b + a*Coth[x])^2) + (2*a*b)/((a^2 - b^2)^2*(b + a*Coth[x])) + (a*(a^2 + 3*b^2)*Log[a*Cosh[x] + b*Sinh[x]])/(a^2 - b^2)^3","A",5,5,16,0.3125,1,"{3085, 3483, 3529, 3531, 3530}"
704,1,19,0,0.030686,"\int \frac{\cosh (x)}{(a \cosh (x)+b \sinh (x))^3} \, dx","Int[Cosh[x]/(a*Cosh[x] + b*Sinh[x])^3,x]","-\frac{\coth ^2(x)}{2 b (a \coth (x)+b)^2}","-\frac{\coth ^2(x)}{2 b (a \coth (x)+b)^2}",1,"-Coth[x]^2/(2*b*(b + a*Coth[x])^2)","A",2,2,14,0.1429,1,"{3088, 37}"
705,1,104,0,0.2005146,"\int \frac{\cosh ^3(x)}{(a \cosh (x)+b \sinh (x))^3} \, dx","Int[Cosh[x]^3/(a*Cosh[x] + b*Sinh[x])^3,x]","\frac{a x \left(a^2+3 b^2\right)}{\left(a^2-b^2\right)^3}+\frac{2 a b}{\left(a^2-b^2\right)^2 (a+b \tanh (x))}+\frac{b}{2 \left(a^2-b^2\right) (a+b \tanh (x))^2}-\frac{b \left(3 a^2+b^2\right) \log (a \cosh (x)+b \sinh (x))}{\left(a^2-b^2\right)^3}","\frac{a x \left(a^2+3 b^2\right)}{\left(a^2-b^2\right)^3}+\frac{2 a b}{\left(a^2-b^2\right)^2 (a+b \tanh (x))}+\frac{b}{2 \left(a^2-b^2\right) (a+b \tanh (x))^2}-\frac{b \left(3 a^2+b^2\right) \log (a \cosh (x)+b \sinh (x))}{\left(a^2-b^2\right)^3}",1,"(a*(a^2 + 3*b^2)*x)/(a^2 - b^2)^3 - (b*(3*a^2 + b^2)*Log[a*Cosh[x] + b*Sinh[x]])/(a^2 - b^2)^3 + b/(2*(a^2 - b^2)*(a + b*Tanh[x])^2) + (2*a*b)/((a^2 - b^2)^2*(a + b*Tanh[x]))","A",5,5,16,0.3125,1,"{3086, 3483, 3529, 3531, 3530}"
706,1,72,0,0.0891185,"\int \frac{\cosh (x) \sinh (x)}{a \cosh (x)+b \sinh (x)} \, dx","Int[(Cosh[x]*Sinh[x])/(a*Cosh[x] + b*Sinh[x]),x]","-\frac{b \sinh (x)}{a^2-b^2}+\frac{a \cosh (x)}{a^2-b^2}+\frac{a b \tan ^{-1}\left(\frac{a \sinh (x)+b \cosh (x)}{\sqrt{a^2-b^2}}\right)}{\left(a^2-b^2\right)^{3/2}}","-\frac{b \sinh (x)}{a^2-b^2}+\frac{a \cosh (x)}{a^2-b^2}+\frac{a b \tan ^{-1}\left(\frac{a \sinh (x)+b \cosh (x)}{\sqrt{a^2-b^2}}\right)}{\left(a^2-b^2\right)^{3/2}}",1,"(a*b*ArcTan[(b*Cosh[x] + a*Sinh[x])/Sqrt[a^2 - b^2]])/(a^2 - b^2)^(3/2) + (a*Cosh[x])/(a^2 - b^2) - (b*Sinh[x])/(a^2 - b^2)","A",5,5,16,0.3125,1,"{3109, 2637, 2638, 3074, 206}"
707,1,102,0,0.1602404,"\int \frac{\cosh (x) \sinh ^2(x)}{a \cosh (x)+b \sinh (x)} \, dx","Int[(Cosh[x]*Sinh[x]^2)/(a*Cosh[x] + b*Sinh[x]),x]","-\frac{a x}{2 \left(a^2-b^2\right)}-\frac{a b^2 x}{\left(a^2-b^2\right)^2}-\frac{b \sinh ^2(x)}{2 \left(a^2-b^2\right)}+\frac{a \sinh (x) \cosh (x)}{2 \left(a^2-b^2\right)}+\frac{a^2 b \log (a \cosh (x)+b \sinh (x))}{\left(a^2-b^2\right)^2}","-\frac{a x}{2 \left(a^2-b^2\right)}-\frac{a b^2 x}{\left(a^2-b^2\right)^2}-\frac{b \sinh ^2(x)}{2 \left(a^2-b^2\right)}+\frac{a \sinh (x) \cosh (x)}{2 \left(a^2-b^2\right)}+\frac{a^2 b \log (a \cosh (x)+b \sinh (x))}{\left(a^2-b^2\right)^2}",1,"-((a*b^2*x)/(a^2 - b^2)^2) - (a*x)/(2*(a^2 - b^2)) + (a^2*b*Log[a*Cosh[x] + b*Sinh[x]])/(a^2 - b^2)^2 + (a*Cosh[x]*Sinh[x])/(2*(a^2 - b^2)) - (b*Sinh[x]^2)/(2*(a^2 - b^2))","A",7,7,18,0.3889,1,"{3109, 2564, 30, 2635, 8, 3097, 3133}"
708,1,137,0,0.2029907,"\int \frac{\cosh (x) \sinh ^3(x)}{a \cosh (x)+b \sinh (x)} \, dx","Int[(Cosh[x]*Sinh[x]^3)/(a*Cosh[x] + b*Sinh[x]),x]","-\frac{b \sinh ^3(x)}{3 \left(a^2-b^2\right)}+\frac{a^2 b \sinh (x)}{\left(a^2-b^2\right)^2}+\frac{a \cosh ^3(x)}{3 \left(a^2-b^2\right)}-\frac{a \cosh (x)}{a^2-b^2}-\frac{a b^2 \cosh (x)}{\left(a^2-b^2\right)^2}-\frac{a^3 b \tan ^{-1}\left(\frac{a \sinh (x)+b \cosh (x)}{\sqrt{a^2-b^2}}\right)}{\left(a^2-b^2\right)^{5/2}}","-\frac{b \sinh ^3(x)}{3 \left(a^2-b^2\right)}+\frac{a^2 b \sinh (x)}{\left(a^2-b^2\right)^2}+\frac{a \cosh ^3(x)}{3 \left(a^2-b^2\right)}-\frac{a \cosh (x)}{a^2-b^2}-\frac{a b^2 \cosh (x)}{\left(a^2-b^2\right)^2}-\frac{a^3 b \tan ^{-1}\left(\frac{a \sinh (x)+b \cosh (x)}{\sqrt{a^2-b^2}}\right)}{\left(a^2-b^2\right)^{5/2}}",1,"-((a^3*b*ArcTan[(b*Cosh[x] + a*Sinh[x])/Sqrt[a^2 - b^2]])/(a^2 - b^2)^(5/2)) - (a*b^2*Cosh[x])/(a^2 - b^2)^2 - (a*Cosh[x])/(a^2 - b^2) + (a*Cosh[x]^3)/(3*(a^2 - b^2)) + (a^2*b*Sinh[x])/(a^2 - b^2)^2 - (b*Sinh[x]^3)/(3*(a^2 - b^2))","A",9,8,18,0.4444,1,"{3109, 2564, 30, 2633, 3099, 3074, 206, 2638}"
709,1,102,0,0.1628405,"\int \frac{\cosh ^2(x) \sinh (x)}{a \cosh (x)+b \sinh (x)} \, dx","Int[(Cosh[x]^2*Sinh[x])/(a*Cosh[x] + b*Sinh[x]),x]","\frac{a^2 b x}{\left(a^2-b^2\right)^2}-\frac{b x}{2 \left(a^2-b^2\right)}+\frac{a \sinh ^2(x)}{2 \left(a^2-b^2\right)}-\frac{b \sinh (x) \cosh (x)}{2 \left(a^2-b^2\right)}-\frac{a b^2 \log (a \cosh (x)+b \sinh (x))}{\left(a^2-b^2\right)^2}","\frac{a^2 b x}{\left(a^2-b^2\right)^2}-\frac{b x}{2 \left(a^2-b^2\right)}+\frac{a \sinh ^2(x)}{2 \left(a^2-b^2\right)}-\frac{b \sinh (x) \cosh (x)}{2 \left(a^2-b^2\right)}-\frac{a b^2 \log (a \cosh (x)+b \sinh (x))}{\left(a^2-b^2\right)^2}",1,"(a^2*b*x)/(a^2 - b^2)^2 - (b*x)/(2*(a^2 - b^2)) - (a*b^2*Log[a*Cosh[x] + b*Sinh[x]])/(a^2 - b^2)^2 - (b*Cosh[x]*Sinh[x])/(2*(a^2 - b^2)) + (a*Sinh[x]^2)/(2*(a^2 - b^2))","A",7,7,18,0.3889,1,"{3109, 2635, 8, 2564, 30, 3098, 3133}"
710,1,122,0,0.2285814,"\int \frac{\cosh ^2(x) \sinh ^2(x)}{a \cosh (x)+b \sinh (x)} \, dx","Int[(Cosh[x]^2*Sinh[x]^2)/(a*Cosh[x] + b*Sinh[x]),x]","\frac{a \sinh ^3(x)}{3 \left(a^2-b^2\right)}-\frac{a b^2 \sinh (x)}{\left(a^2-b^2\right)^2}-\frac{b \cosh ^3(x)}{3 \left(a^2-b^2\right)}+\frac{a^2 b \cosh (x)}{\left(a^2-b^2\right)^2}+\frac{a^2 b^2 \tan ^{-1}\left(\frac{a \sinh (x)+b \cosh (x)}{\sqrt{a^2-b^2}}\right)}{\left(a^2-b^2\right)^{5/2}}","\frac{a \sinh ^3(x)}{3 \left(a^2-b^2\right)}-\frac{a b^2 \sinh (x)}{\left(a^2-b^2\right)^2}-\frac{b \cosh ^3(x)}{3 \left(a^2-b^2\right)}+\frac{a^2 b \cosh (x)}{\left(a^2-b^2\right)^2}+\frac{a^2 b^2 \tan ^{-1}\left(\frac{a \sinh (x)+b \cosh (x)}{\sqrt{a^2-b^2}}\right)}{\left(a^2-b^2\right)^{5/2}}",1,"(a^2*b^2*ArcTan[(b*Cosh[x] + a*Sinh[x])/Sqrt[a^2 - b^2]])/(a^2 - b^2)^(5/2) + (a^2*b*Cosh[x])/(a^2 - b^2)^2 - (b*Cosh[x]^3)/(3*(a^2 - b^2)) - (a*b^2*Sinh[x])/(a^2 - b^2)^2 + (a*Sinh[x]^3)/(3*(a^2 - b^2))","A",10,8,20,0.4000,1,"{3109, 2565, 30, 2564, 2637, 2638, 3074, 206}"
711,1,194,0,0.3423697,"\int \frac{\cosh ^2(x) \sinh ^3(x)}{a \cosh (x)+b \sinh (x)} \, dx","Int[(Cosh[x]^2*Sinh[x]^3)/(a*Cosh[x] + b*Sinh[x]),x]","\frac{b x}{8 \left(a^2-b^2\right)}-\frac{a^2 b x}{2 \left(a^2-b^2\right)^2}-\frac{a^2 b^3 x}{\left(a^2-b^2\right)^3}+\frac{a \sinh ^4(x)}{4 \left(a^2-b^2\right)}-\frac{a b^2 \sinh ^2(x)}{2 \left(a^2-b^2\right)^2}-\frac{b \sinh (x) \cosh ^3(x)}{4 \left(a^2-b^2\right)}+\frac{b \sinh (x) \cosh (x)}{8 \left(a^2-b^2\right)}+\frac{a^2 b \sinh (x) \cosh (x)}{2 \left(a^2-b^2\right)^2}+\frac{a^3 b^2 \log (a \cosh (x)+b \sinh (x))}{\left(a^2-b^2\right)^3}","\frac{b x}{8 \left(a^2-b^2\right)}-\frac{a^2 b x}{2 \left(a^2-b^2\right)^2}-\frac{a^2 b^3 x}{\left(a^2-b^2\right)^3}+\frac{a \sinh ^4(x)}{4 \left(a^2-b^2\right)}-\frac{a b^2 \sinh ^2(x)}{2 \left(a^2-b^2\right)^2}-\frac{b \sinh (x) \cosh ^3(x)}{4 \left(a^2-b^2\right)}+\frac{b \sinh (x) \cosh (x)}{8 \left(a^2-b^2\right)}+\frac{a^2 b \sinh (x) \cosh (x)}{2 \left(a^2-b^2\right)^2}+\frac{a^3 b^2 \log (a \cosh (x)+b \sinh (x))}{\left(a^2-b^2\right)^3}",1,"-((a^2*b^3*x)/(a^2 - b^2)^3) - (a^2*b*x)/(2*(a^2 - b^2)^2) + (b*x)/(8*(a^2 - b^2)) + (a^3*b^2*Log[a*Cosh[x] + b*Sinh[x]])/(a^2 - b^2)^3 + (a^2*b*Cosh[x]*Sinh[x])/(2*(a^2 - b^2)^2) + (b*Cosh[x]*Sinh[x])/(8*(a^2 - b^2)) - (b*Cosh[x]^3*Sinh[x])/(4*(a^2 - b^2)) - (a*b^2*Sinh[x]^2)/(2*(a^2 - b^2)^2) + (a*Sinh[x]^4)/(4*(a^2 - b^2))","A",13,8,20,0.4000,1,"{3109, 2568, 2635, 8, 2564, 30, 3097, 3133}"
712,1,137,0,0.1953345,"\int \frac{\cosh ^3(x) \sinh (x)}{a \cosh (x)+b \sinh (x)} \, dx","Int[(Cosh[x]^3*Sinh[x])/(a*Cosh[x] + b*Sinh[x]),x]","-\frac{b \sinh ^3(x)}{3 \left(a^2-b^2\right)}-\frac{b \sinh (x)}{a^2-b^2}+\frac{a^2 b \sinh (x)}{\left(a^2-b^2\right)^2}+\frac{a \cosh ^3(x)}{3 \left(a^2-b^2\right)}-\frac{a b^2 \cosh (x)}{\left(a^2-b^2\right)^2}-\frac{a b^3 \tan ^{-1}\left(\frac{a \sinh (x)+b \cosh (x)}{\sqrt{a^2-b^2}}\right)}{\left(a^2-b^2\right)^{5/2}}","-\frac{b \sinh ^3(x)}{3 \left(a^2-b^2\right)}-\frac{b \sinh (x)}{a^2-b^2}+\frac{a^2 b \sinh (x)}{\left(a^2-b^2\right)^2}+\frac{a \cosh ^3(x)}{3 \left(a^2-b^2\right)}-\frac{a b^2 \cosh (x)}{\left(a^2-b^2\right)^2}-\frac{a b^3 \tan ^{-1}\left(\frac{a \sinh (x)+b \cosh (x)}{\sqrt{a^2-b^2}}\right)}{\left(a^2-b^2\right)^{5/2}}",1,"-((a*b^3*ArcTan[(b*Cosh[x] + a*Sinh[x])/Sqrt[a^2 - b^2]])/(a^2 - b^2)^(5/2)) - (a*b^2*Cosh[x])/(a^2 - b^2)^2 + (a*Cosh[x]^3)/(3*(a^2 - b^2)) + (a^2*b*Sinh[x])/(a^2 - b^2)^2 - (b*Sinh[x])/(a^2 - b^2) - (b*Sinh[x]^3)/(3*(a^2 - b^2))","A",9,8,18,0.4444,1,"{3109, 2633, 2565, 30, 3100, 2637, 3074, 206}"
713,1,194,0,0.33815,"\int \frac{\cosh ^3(x) \sinh ^2(x)}{a \cosh (x)+b \sinh (x)} \, dx","Int[(Cosh[x]^3*Sinh[x]^2)/(a*Cosh[x] + b*Sinh[x]),x]","-\frac{a x}{8 \left(a^2-b^2\right)}-\frac{a b^2 x}{2 \left(a^2-b^2\right)^2}+\frac{a^3 b^2 x}{\left(a^2-b^2\right)^3}+\frac{a^2 b \sinh ^2(x)}{2 \left(a^2-b^2\right)^2}-\frac{b \cosh ^4(x)}{4 \left(a^2-b^2\right)}+\frac{a \sinh (x) \cosh ^3(x)}{4 \left(a^2-b^2\right)}-\frac{a \sinh (x) \cosh (x)}{8 \left(a^2-b^2\right)}-\frac{a b^2 \sinh (x) \cosh (x)}{2 \left(a^2-b^2\right)^2}-\frac{a^2 b^3 \log (a \cosh (x)+b \sinh (x))}{\left(a^2-b^2\right)^3}","-\frac{a x}{8 \left(a^2-b^2\right)}-\frac{a b^2 x}{2 \left(a^2-b^2\right)^2}+\frac{a^3 b^2 x}{\left(a^2-b^2\right)^3}+\frac{a^2 b \sinh ^2(x)}{2 \left(a^2-b^2\right)^2}-\frac{b \cosh ^4(x)}{4 \left(a^2-b^2\right)}+\frac{a \sinh (x) \cosh ^3(x)}{4 \left(a^2-b^2\right)}-\frac{a \sinh (x) \cosh (x)}{8 \left(a^2-b^2\right)}-\frac{a b^2 \sinh (x) \cosh (x)}{2 \left(a^2-b^2\right)^2}-\frac{a^2 b^3 \log (a \cosh (x)+b \sinh (x))}{\left(a^2-b^2\right)^3}",1,"(a^3*b^2*x)/(a^2 - b^2)^3 - (a*b^2*x)/(2*(a^2 - b^2)^2) - (a*x)/(8*(a^2 - b^2)) - (b*Cosh[x]^4)/(4*(a^2 - b^2)) - (a^2*b^3*Log[a*Cosh[x] + b*Sinh[x]])/(a^2 - b^2)^3 - (a*b^2*Cosh[x]*Sinh[x])/(2*(a^2 - b^2)^2) - (a*Cosh[x]*Sinh[x])/(8*(a^2 - b^2)) + (a*Cosh[x]^3*Sinh[x])/(4*(a^2 - b^2)) + (a^2*b*Sinh[x]^2)/(2*(a^2 - b^2)^2)","A",13,9,20,0.4500,1,"{3109, 2565, 30, 2568, 2635, 8, 2564, 3098, 3133}"
714,1,212,0,0.4324444,"\int \frac{\cosh ^3(x) \sinh ^3(x)}{a \cosh (x)+b \sinh (x)} \, dx","Int[(Cosh[x]^3*Sinh[x]^3)/(a*Cosh[x] + b*Sinh[x]),x]","-\frac{b \sinh ^5(x)}{5 \left(a^2-b^2\right)}-\frac{b \sinh ^3(x)}{3 \left(a^2-b^2\right)}+\frac{a^2 b \sinh ^3(x)}{3 \left(a^2-b^2\right)^2}-\frac{a^2 b^3 \sinh (x)}{\left(a^2-b^2\right)^3}+\frac{a \cosh ^5(x)}{5 \left(a^2-b^2\right)}-\frac{a \cosh ^3(x)}{3 \left(a^2-b^2\right)}-\frac{a b^2 \cosh ^3(x)}{3 \left(a^2-b^2\right)^2}+\frac{a^3 b^2 \cosh (x)}{\left(a^2-b^2\right)^3}+\frac{a^3 b^3 \tan ^{-1}\left(\frac{a \sinh (x)+b \cosh (x)}{\sqrt{a^2-b^2}}\right)}{\left(a^2-b^2\right)^{7/2}}","-\frac{b \sinh ^5(x)}{5 \left(a^2-b^2\right)}-\frac{b \sinh ^3(x)}{3 \left(a^2-b^2\right)}+\frac{a^2 b \sinh ^3(x)}{3 \left(a^2-b^2\right)^2}-\frac{a^2 b^3 \sinh (x)}{\left(a^2-b^2\right)^3}+\frac{a \cosh ^5(x)}{5 \left(a^2-b^2\right)}-\frac{a \cosh ^3(x)}{3 \left(a^2-b^2\right)}-\frac{a b^2 \cosh ^3(x)}{3 \left(a^2-b^2\right)^2}+\frac{a^3 b^2 \cosh (x)}{\left(a^2-b^2\right)^3}+\frac{a^3 b^3 \tan ^{-1}\left(\frac{a \sinh (x)+b \cosh (x)}{\sqrt{a^2-b^2}}\right)}{\left(a^2-b^2\right)^{7/2}}",1,"(a^3*b^3*ArcTan[(b*Cosh[x] + a*Sinh[x])/Sqrt[a^2 - b^2]])/(a^2 - b^2)^(7/2) + (a^3*b^2*Cosh[x])/(a^2 - b^2)^3 - (a*b^2*Cosh[x]^3)/(3*(a^2 - b^2)^2) - (a*Cosh[x]^3)/(3*(a^2 - b^2)) + (a*Cosh[x]^5)/(5*(a^2 - b^2)) - (a^2*b^3*Sinh[x])/(a^2 - b^2)^3 + (a^2*b*Sinh[x]^3)/(3*(a^2 - b^2)^2) - (b*Sinh[x]^3)/(3*(a^2 - b^2)) - (b*Sinh[x]^5)/(5*(a^2 - b^2))","A",17,9,20,0.4500,1,"{3109, 2564, 14, 2565, 30, 2637, 2638, 3074, 206}"
715,1,93,0,0.2043379,"\int \frac{\cosh (x) \sinh (x)}{(a \cosh (x)+b \sinh (x))^2} \, dx","Int[(Cosh[x]*Sinh[x])/(a*Cosh[x] + b*Sinh[x])^2,x]","-\frac{2 a b x}{\left(a^2-b^2\right)^2}+\frac{b \sinh (x)}{\left(a^2-b^2\right) (a \cosh (x)+b \sinh (x))}+\frac{a^2 \log (a \cosh (x)+b \sinh (x))}{\left(a^2-b^2\right)^2}+\frac{b^2 \log (a \cosh (x)+b \sinh (x))}{\left(a^2-b^2\right)^2}","-\frac{2 a b x}{\left(a^2-b^2\right)^2}+\frac{b \sinh (x)}{\left(a^2-b^2\right) (a \cosh (x)+b \sinh (x))}+\frac{a^2 \log (a \cosh (x)+b \sinh (x))}{\left(a^2-b^2\right)^2}+\frac{b^2 \log (a \cosh (x)+b \sinh (x))}{\left(a^2-b^2\right)^2}",1,"(-2*a*b*x)/(a^2 - b^2)^2 + (a^2*Log[a*Cosh[x] + b*Sinh[x]])/(a^2 - b^2)^2 + (b^2*Log[a*Cosh[x] + b*Sinh[x]])/(a^2 - b^2)^2 + (b*Sinh[x])/((a^2 - b^2)*(a*Cosh[x] + b*Sinh[x]))","A",6,5,16,0.3125,1,"{3111, 3098, 3133, 3097, 3075}"
716,1,165,0,0.3073084,"\int \frac{\cosh (x) \sinh ^2(x)}{(a \cosh (x)+b \sinh (x))^2} \, dx","Int[(Cosh[x]*Sinh[x]^2)/(a*Cosh[x] + b*Sinh[x])^2,x]","\frac{a^2 \sinh (x)}{\left(a^2-b^2\right)^2}+\frac{b^2 \sinh (x)}{\left(a^2-b^2\right)^2}-\frac{2 a b \cosh (x)}{\left(a^2-b^2\right)^2}-\frac{a^2 b}{\left(a^2-b^2\right)^2 (a \cosh (x)+b \sinh (x))}-\frac{a^3 \tan ^{-1}\left(\frac{a \sinh (x)+b \cosh (x)}{\sqrt{a^2-b^2}}\right)}{\left(a^2-b^2\right)^{5/2}}-\frac{2 a b^2 \tan ^{-1}\left(\frac{a \sinh (x)+b \cosh (x)}{\sqrt{a^2-b^2}}\right)}{\left(a^2-b^2\right)^{5/2}}","\frac{a^2 \sinh (x)}{\left(a^2-b^2\right)^2}+\frac{b^2 \sinh (x)}{\left(a^2-b^2\right)^2}-\frac{2 a b \cosh (x)}{\left(a^2-b^2\right)^2}-\frac{a^2 b}{\left(a^2-b^2\right)^2 (a \cosh (x)+b \sinh (x))}-\frac{a^3 \tan ^{-1}\left(\frac{a \sinh (x)+b \cosh (x)}{\sqrt{a^2-b^2}}\right)}{\left(a^2-b^2\right)^{5/2}}-\frac{2 a b^2 \tan ^{-1}\left(\frac{a \sinh (x)+b \cosh (x)}{\sqrt{a^2-b^2}}\right)}{\left(a^2-b^2\right)^{5/2}}",1,"-((a^3*ArcTan[(b*Cosh[x] + a*Sinh[x])/Sqrt[a^2 - b^2]])/(a^2 - b^2)^(5/2)) - (2*a*b^2*ArcTan[(b*Cosh[x] + a*Sinh[x])/Sqrt[a^2 - b^2]])/(a^2 - b^2)^(5/2) - (2*a*b*Cosh[x])/(a^2 - b^2)^2 + (a^2*Sinh[x])/(a^2 - b^2)^2 + (b^2*Sinh[x])/(a^2 - b^2)^2 - (a^2*b)/((a^2 - b^2)^2*(a*Cosh[x] + b*Sinh[x]))","A",13,8,18,0.4444,1,"{3111, 3109, 2637, 2638, 3074, 206, 3099, 3154}"
717,1,215,0,0.5360118,"\int \frac{\cosh (x) \sinh ^3(x)}{(a \cosh (x)+b \sinh (x))^2} \, dx","Int[(Cosh[x]*Sinh[x]^3)/(a*Cosh[x] + b*Sinh[x])^2,x]","\frac{a^3 b x}{\left(a^2-b^2\right)^3}+\frac{a b x \left(a^2+b^2\right)}{\left(a^2-b^2\right)^3}+\frac{a b x}{\left(a^2-b^2\right)^2}+\frac{a b^3 x}{\left(a^2-b^2\right)^3}+\frac{a^2 \sinh ^2(x)}{2 \left(a^2-b^2\right)^2}+\frac{b^2 \sinh ^2(x)}{2 \left(a^2-b^2\right)^2}-\frac{a^2 b}{\left(a^2-b^2\right)^2 (a \coth (x)+b)}-\frac{a b \sinh (x) \cosh (x)}{\left(a^2-b^2\right)^2}-\frac{a^4 \log (a \cosh (x)+b \sinh (x))}{\left(a^2-b^2\right)^3}-\frac{3 a^2 b^2 \log (a \cosh (x)+b \sinh (x))}{\left(a^2-b^2\right)^3}","\frac{a^3 b x}{\left(a^2-b^2\right)^3}+\frac{a b x \left(a^2+b^2\right)}{\left(a^2-b^2\right)^3}+\frac{a b x}{\left(a^2-b^2\right)^2}+\frac{a b^3 x}{\left(a^2-b^2\right)^3}+\frac{a^2 \sinh ^2(x)}{2 \left(a^2-b^2\right)^2}+\frac{b^2 \sinh ^2(x)}{2 \left(a^2-b^2\right)^2}-\frac{a^2 b}{\left(a^2-b^2\right)^2 (a \coth (x)+b)}-\frac{a b \sinh (x) \cosh (x)}{\left(a^2-b^2\right)^2}-\frac{a^4 \log (a \cosh (x)+b \sinh (x))}{\left(a^2-b^2\right)^3}-\frac{3 a^2 b^2 \log (a \cosh (x)+b \sinh (x))}{\left(a^2-b^2\right)^3}",1,"(a^3*b*x)/(a^2 - b^2)^3 + (a*b^3*x)/(a^2 - b^2)^3 + (a*b*x)/(a^2 - b^2)^2 + (a*b*(a^2 + b^2)*x)/(a^2 - b^2)^3 - (a^2*b)/((a^2 - b^2)^2*(b + a*Coth[x])) - (a^4*Log[a*Cosh[x] + b*Sinh[x]])/(a^2 - b^2)^3 - (3*a^2*b^2*Log[a*Cosh[x] + b*Sinh[x]])/(a^2 - b^2)^3 - (a*b*Cosh[x]*Sinh[x])/(a^2 - b^2)^2 + (a^2*Sinh[x]^2)/(2*(a^2 - b^2)^2) + (b^2*Sinh[x]^2)/(2*(a^2 - b^2)^2)","A",17,13,18,0.7222,1,"{3111, 3109, 2564, 30, 2635, 8, 3097, 3133, 3099, 3085, 3483, 3531, 3530}"
718,1,163,0,0.3158757,"\int \frac{\cosh ^2(x) \sinh (x)}{(a \cosh (x)+b \sinh (x))^2} \, dx","Int[(Cosh[x]^2*Sinh[x])/(a*Cosh[x] + b*Sinh[x])^2,x]","-\frac{2 a b \sinh (x)}{\left(a^2-b^2\right)^2}+\frac{b^2 \cosh (x)}{\left(a^2-b^2\right)^2}+\frac{a^2 \cosh (x)}{\left(a^2-b^2\right)^2}+\frac{a b^2}{\left(a^2-b^2\right)^2 (a \cosh (x)+b \sinh (x))}+\frac{b^3 \tan ^{-1}\left(\frac{a \sinh (x)+b \cosh (x)}{\sqrt{a^2-b^2}}\right)}{\left(a^2-b^2\right)^{5/2}}+\frac{2 a^2 b \tan ^{-1}\left(\frac{a \sinh (x)+b \cosh (x)}{\sqrt{a^2-b^2}}\right)}{\left(a^2-b^2\right)^{5/2}}","-\frac{2 a b \sinh (x)}{\left(a^2-b^2\right)^2}+\frac{b^2 \cosh (x)}{\left(a^2-b^2\right)^2}+\frac{a^2 \cosh (x)}{\left(a^2-b^2\right)^2}+\frac{a b^2}{\left(a^2-b^2\right)^2 (a \cosh (x)+b \sinh (x))}+\frac{b^3 \tan ^{-1}\left(\frac{a \sinh (x)+b \cosh (x)}{\sqrt{a^2-b^2}}\right)}{\left(a^2-b^2\right)^{5/2}}+\frac{2 a^2 b \tan ^{-1}\left(\frac{a \sinh (x)+b \cosh (x)}{\sqrt{a^2-b^2}}\right)}{\left(a^2-b^2\right)^{5/2}}",1,"(2*a^2*b*ArcTan[(b*Cosh[x] + a*Sinh[x])/Sqrt[a^2 - b^2]])/(a^2 - b^2)^(5/2) + (b^3*ArcTan[(b*Cosh[x] + a*Sinh[x])/Sqrt[a^2 - b^2]])/(a^2 - b^2)^(5/2) + (a^2*Cosh[x])/(a^2 - b^2)^2 + (b^2*Cosh[x])/(a^2 - b^2)^2 - (2*a*b*Sinh[x])/(a^2 - b^2)^2 + (a*b^2)/((a^2 - b^2)^2*(a*Cosh[x] + b*Sinh[x]))","A",13,8,18,0.4444,1,"{3111, 3100, 2637, 3074, 206, 3109, 2638, 3155}"
719,1,205,0,0.6593984,"\int \frac{\cosh ^2(x) \sinh ^2(x)}{(a \cosh (x)+b \sinh (x))^2} \, dx","Int[(Cosh[x]^2*Sinh[x]^2)/(a*Cosh[x] + b*Sinh[x])^2,x]","-\frac{a^2 x}{2 \left(a^2-b^2\right)^2}-\frac{4 a^2 b^2 x}{\left(a^2-b^2\right)^3}+\frac{b^2 x}{2 \left(a^2-b^2\right)^2}-\frac{a b \sinh ^2(x)}{\left(a^2-b^2\right)^2}+\frac{a^2 \sinh (x) \cosh (x)}{2 \left(a^2-b^2\right)^2}+\frac{a b^2 \sinh (x)}{\left(a^2-b^2\right)^2 (a \cosh (x)+b \sinh (x))}+\frac{b^2 \sinh (x) \cosh (x)}{2 \left(a^2-b^2\right)^2}+\frac{2 a^3 b \log (a \cosh (x)+b \sinh (x))}{\left(a^2-b^2\right)^3}+\frac{2 a b^3 \log (a \cosh (x)+b \sinh (x))}{\left(a^2-b^2\right)^3}","-\frac{a^2 x}{2 \left(a^2-b^2\right)^2}-\frac{4 a^2 b^2 x}{\left(a^2-b^2\right)^3}+\frac{b^2 x}{2 \left(a^2-b^2\right)^2}-\frac{a b \sinh ^2(x)}{\left(a^2-b^2\right)^2}+\frac{a^2 \sinh (x) \cosh (x)}{2 \left(a^2-b^2\right)^2}+\frac{a b^2 \sinh (x)}{\left(a^2-b^2\right)^2 (a \cosh (x)+b \sinh (x))}+\frac{b^2 \sinh (x) \cosh (x)}{2 \left(a^2-b^2\right)^2}+\frac{2 a^3 b \log (a \cosh (x)+b \sinh (x))}{\left(a^2-b^2\right)^3}+\frac{2 a b^3 \log (a \cosh (x)+b \sinh (x))}{\left(a^2-b^2\right)^3}",1,"(-4*a^2*b^2*x)/(a^2 - b^2)^3 - (a^2*x)/(2*(a^2 - b^2)^2) + (b^2*x)/(2*(a^2 - b^2)^2) + (2*a^3*b*Log[a*Cosh[x] + b*Sinh[x]])/(a^2 - b^2)^3 + (2*a*b^3*Log[a*Cosh[x] + b*Sinh[x]])/(a^2 - b^2)^3 + (a^2*Cosh[x]*Sinh[x])/(2*(a^2 - b^2)^2) + (b^2*Cosh[x]*Sinh[x])/(2*(a^2 - b^2)^2) - (a*b*Sinh[x]^2)/(a^2 - b^2)^2 + (a*b^2*Sinh[x])/((a^2 - b^2)^2*(a*Cosh[x] + b*Sinh[x]))","A",21,10,20,0.5000,1,"{3111, 3109, 2635, 8, 2564, 30, 3098, 3133, 3097, 3075}"
720,1,261,0,1.0343716,"\int \frac{\cosh ^2(x) \sinh ^3(x)}{(a \cosh (x)+b \sinh (x))^2} \, dx","Int[(Cosh[x]^2*Sinh[x]^3)/(a*Cosh[x] + b*Sinh[x])^2,x]","-\frac{2 a b \sinh ^3(x)}{3 \left(a^2-b^2\right)^2}+\frac{2 a^3 b \sinh (x)}{\left(a^2-b^2\right)^3}+\frac{2 a b^3 \sinh (x)}{\left(a^2-b^2\right)^3}+\frac{a^2 \cosh ^3(x)}{3 \left(a^2-b^2\right)^2}+\frac{b^2 \cosh ^3(x)}{3 \left(a^2-b^2\right)^2}-\frac{a^2 \cosh (x)}{\left(a^2-b^2\right)^2}-\frac{4 a^2 b^2 \cosh (x)}{\left(a^2-b^2\right)^3}-\frac{a^3 b^2}{\left(a^2-b^2\right)^3 (a \cosh (x)+b \sinh (x))}-\frac{2 a^4 b \tan ^{-1}\left(\frac{a \sinh (x)+b \cosh (x)}{\sqrt{a^2-b^2}}\right)}{\left(a^2-b^2\right)^{7/2}}-\frac{3 a^2 b^3 \tan ^{-1}\left(\frac{a \sinh (x)+b \cosh (x)}{\sqrt{a^2-b^2}}\right)}{\left(a^2-b^2\right)^{7/2}}","-\frac{2 a b \sinh ^3(x)}{3 \left(a^2-b^2\right)^2}+\frac{2 a^3 b \sinh (x)}{\left(a^2-b^2\right)^3}+\frac{2 a b^3 \sinh (x)}{\left(a^2-b^2\right)^3}+\frac{a^2 \cosh ^3(x)}{3 \left(a^2-b^2\right)^2}+\frac{b^2 \cosh ^3(x)}{3 \left(a^2-b^2\right)^2}-\frac{a^2 \cosh (x)}{\left(a^2-b^2\right)^2}-\frac{4 a^2 b^2 \cosh (x)}{\left(a^2-b^2\right)^3}-\frac{a^3 b^2}{\left(a^2-b^2\right)^3 (a \cosh (x)+b \sinh (x))}-\frac{2 a^4 b \tan ^{-1}\left(\frac{a \sinh (x)+b \cosh (x)}{\sqrt{a^2-b^2}}\right)}{\left(a^2-b^2\right)^{7/2}}-\frac{3 a^2 b^3 \tan ^{-1}\left(\frac{a \sinh (x)+b \cosh (x)}{\sqrt{a^2-b^2}}\right)}{\left(a^2-b^2\right)^{7/2}}",1,"(-2*a^4*b*ArcTan[(b*Cosh[x] + a*Sinh[x])/Sqrt[a^2 - b^2]])/(a^2 - b^2)^(7/2) - (3*a^2*b^3*ArcTan[(b*Cosh[x] + a*Sinh[x])/Sqrt[a^2 - b^2]])/(a^2 - b^2)^(7/2) - (4*a^2*b^2*Cosh[x])/(a^2 - b^2)^3 - (a^2*Cosh[x])/(a^2 - b^2)^2 + (a^2*Cosh[x]^3)/(3*(a^2 - b^2)^2) + (b^2*Cosh[x]^3)/(3*(a^2 - b^2)^2) + (2*a^3*b*Sinh[x])/(a^2 - b^2)^3 + (2*a*b^3*Sinh[x])/(a^2 - b^2)^3 - (2*a*b*Sinh[x]^3)/(3*(a^2 - b^2)^2) - (a^3*b^2)/((a^2 - b^2)^3*(a*Cosh[x] + b*Sinh[x]))","A",33,12,20,0.6000,1,"{3111, 3109, 2565, 30, 2564, 2637, 2638, 3074, 206, 2633, 3099, 3154}"
721,1,215,0,0.5580871,"\int \frac{\cosh ^3(x) \sinh (x)}{(a \cosh (x)+b \sinh (x))^2} \, dx","Int[(Cosh[x]^3*Sinh[x])/(a*Cosh[x] + b*Sinh[x])^2,x]","\frac{a b^3 x}{\left(a^2-b^2\right)^3}+\frac{a b x \left(a^2+b^2\right)}{\left(a^2-b^2\right)^3}-\frac{a b x}{\left(a^2-b^2\right)^2}+\frac{a^3 b x}{\left(a^2-b^2\right)^3}+\frac{a^2 \sinh ^2(x)}{2 \left(a^2-b^2\right)^2}+\frac{b^2 \cosh ^2(x)}{2 \left(a^2-b^2\right)^2}+\frac{a b^2}{\left(a^2-b^2\right)^2 (a+b \tanh (x))}-\frac{a b \sinh (x) \cosh (x)}{\left(a^2-b^2\right)^2}-\frac{b^4 \log (a \cosh (x)+b \sinh (x))}{\left(a^2-b^2\right)^3}-\frac{3 a^2 b^2 \log (a \cosh (x)+b \sinh (x))}{\left(a^2-b^2\right)^3}","\frac{a b^3 x}{\left(a^2-b^2\right)^3}+\frac{a b x \left(a^2+b^2\right)}{\left(a^2-b^2\right)^3}-\frac{a b x}{\left(a^2-b^2\right)^2}+\frac{a^3 b x}{\left(a^2-b^2\right)^3}+\frac{a^2 \sinh ^2(x)}{2 \left(a^2-b^2\right)^2}+\frac{b^2 \cosh ^2(x)}{2 \left(a^2-b^2\right)^2}+\frac{a b^2}{\left(a^2-b^2\right)^2 (a+b \tanh (x))}-\frac{a b \sinh (x) \cosh (x)}{\left(a^2-b^2\right)^2}-\frac{b^4 \log (a \cosh (x)+b \sinh (x))}{\left(a^2-b^2\right)^3}-\frac{3 a^2 b^2 \log (a \cosh (x)+b \sinh (x))}{\left(a^2-b^2\right)^3}",1,"(a^3*b*x)/(a^2 - b^2)^3 + (a*b^3*x)/(a^2 - b^2)^3 - (a*b*x)/(a^2 - b^2)^2 + (a*b*(a^2 + b^2)*x)/(a^2 - b^2)^3 + (b^2*Cosh[x]^2)/(2*(a^2 - b^2)^2) - (3*a^2*b^2*Log[a*Cosh[x] + b*Sinh[x]])/(a^2 - b^2)^3 - (b^4*Log[a*Cosh[x] + b*Sinh[x]])/(a^2 - b^2)^3 - (a*b*Cosh[x]*Sinh[x])/(a^2 - b^2)^2 + (a^2*Sinh[x]^2)/(2*(a^2 - b^2)^2) + (a*b^2)/((a^2 - b^2)^2*(a + b*Tanh[x]))","A",17,13,18,0.7222,1,"{3111, 3100, 2635, 8, 3098, 3133, 3109, 2564, 30, 3086, 3483, 3531, 3530}"
722,1,259,0,0.9079758,"\int \frac{\cosh ^3(x) \sinh ^2(x)}{(a \cosh (x)+b \sinh (x))^2} \, dx","Int[(Cosh[x]^3*Sinh[x]^2)/(a*Cosh[x] + b*Sinh[x])^2,x]","\frac{b^2 \sinh ^3(x)}{3 \left(a^2-b^2\right)^2}+\frac{a^2 \sinh ^3(x)}{3 \left(a^2-b^2\right)^2}+\frac{b^2 \sinh (x)}{\left(a^2-b^2\right)^2}-\frac{4 a^2 b^2 \sinh (x)}{\left(a^2-b^2\right)^3}-\frac{2 a b \cosh ^3(x)}{3 \left(a^2-b^2\right)^2}+\frac{2 a b^3 \cosh (x)}{\left(a^2-b^2\right)^3}+\frac{2 a^3 b \cosh (x)}{\left(a^2-b^2\right)^3}+\frac{a^2 b^3}{\left(a^2-b^2\right)^3 (a \cosh (x)+b \sinh (x))}+\frac{2 a b^4 \tan ^{-1}\left(\frac{a \sinh (x)+b \cosh (x)}{\sqrt{a^2-b^2}}\right)}{\left(a^2-b^2\right)^{7/2}}+\frac{3 a^3 b^2 \tan ^{-1}\left(\frac{a \sinh (x)+b \cosh (x)}{\sqrt{a^2-b^2}}\right)}{\left(a^2-b^2\right)^{7/2}}","\frac{b^2 \sinh ^3(x)}{3 \left(a^2-b^2\right)^2}+\frac{a^2 \sinh ^3(x)}{3 \left(a^2-b^2\right)^2}+\frac{b^2 \sinh (x)}{\left(a^2-b^2\right)^2}-\frac{4 a^2 b^2 \sinh (x)}{\left(a^2-b^2\right)^3}-\frac{2 a b \cosh ^3(x)}{3 \left(a^2-b^2\right)^2}+\frac{2 a b^3 \cosh (x)}{\left(a^2-b^2\right)^3}+\frac{2 a^3 b \cosh (x)}{\left(a^2-b^2\right)^3}+\frac{a^2 b^3}{\left(a^2-b^2\right)^3 (a \cosh (x)+b \sinh (x))}+\frac{2 a b^4 \tan ^{-1}\left(\frac{a \sinh (x)+b \cosh (x)}{\sqrt{a^2-b^2}}\right)}{\left(a^2-b^2\right)^{7/2}}+\frac{3 a^3 b^2 \tan ^{-1}\left(\frac{a \sinh (x)+b \cosh (x)}{\sqrt{a^2-b^2}}\right)}{\left(a^2-b^2\right)^{7/2}}",1,"(3*a^3*b^2*ArcTan[(b*Cosh[x] + a*Sinh[x])/Sqrt[a^2 - b^2]])/(a^2 - b^2)^(7/2) + (2*a*b^4*ArcTan[(b*Cosh[x] + a*Sinh[x])/Sqrt[a^2 - b^2]])/(a^2 - b^2)^(7/2) + (2*a^3*b*Cosh[x])/(a^2 - b^2)^3 + (2*a*b^3*Cosh[x])/(a^2 - b^2)^3 - (2*a*b*Cosh[x]^3)/(3*(a^2 - b^2)^2) - (4*a^2*b^2*Sinh[x])/(a^2 - b^2)^3 + (b^2*Sinh[x])/(a^2 - b^2)^2 + (a^2*Sinh[x]^3)/(3*(a^2 - b^2)^2) + (b^2*Sinh[x]^3)/(3*(a^2 - b^2)^2) + (a^2*b^3)/((a^2 - b^2)^3*(a*Cosh[x] + b*Sinh[x]))","A",33,12,20,0.6000,1,"{3111, 3109, 2633, 2565, 30, 3100, 2637, 3074, 206, 2564, 2638, 3155}"
723,1,314,0,1.7320718,"\int \frac{\cosh ^3(x) \sinh ^3(x)}{(a \cosh (x)+b \sinh (x))^2} \, dx","Int[(Cosh[x]^3*Sinh[x]^3)/(a*Cosh[x] + b*Sinh[x])^2,x]","-\frac{a^3 b x}{\left(a^2-b^2\right)^3}-\frac{6 a^3 b^3 x}{\left(a^2-b^2\right)^4}+\frac{a b x}{4 \left(a^2-b^2\right)^2}+\frac{a b^3 x}{\left(a^2-b^2\right)^3}+\frac{a^2 \sinh ^4(x)}{4 \left(a^2-b^2\right)^2}-\frac{2 a^2 b^2 \sinh ^2(x)}{\left(a^2-b^2\right)^3}+\frac{b^2 \cosh ^4(x)}{4 \left(a^2-b^2\right)^2}-\frac{a b \sinh (x) \cosh ^3(x)}{2 \left(a^2-b^2\right)^2}+\frac{a^3 b \sinh (x) \cosh (x)}{\left(a^2-b^2\right)^3}+\frac{a^2 b^3 \sinh (x)}{\left(a^2-b^2\right)^3 (a \cosh (x)+b \sinh (x))}+\frac{a b \sinh (x) \cosh (x)}{4 \left(a^2-b^2\right)^2}+\frac{a b^3 \sinh (x) \cosh (x)}{\left(a^2-b^2\right)^3}+\frac{3 a^4 b^2 \log (a \cosh (x)+b \sinh (x))}{\left(a^2-b^2\right)^4}+\frac{3 a^2 b^4 \log (a \cosh (x)+b \sinh (x))}{\left(a^2-b^2\right)^4}","-\frac{a^3 b x}{\left(a^2-b^2\right)^3}-\frac{6 a^3 b^3 x}{\left(a^2-b^2\right)^4}+\frac{a b x}{4 \left(a^2-b^2\right)^2}+\frac{a b^3 x}{\left(a^2-b^2\right)^3}+\frac{a^2 \sinh ^4(x)}{4 \left(a^2-b^2\right)^2}-\frac{2 a^2 b^2 \sinh ^2(x)}{\left(a^2-b^2\right)^3}+\frac{b^2 \cosh ^4(x)}{4 \left(a^2-b^2\right)^2}-\frac{a b \sinh (x) \cosh ^3(x)}{2 \left(a^2-b^2\right)^2}+\frac{a^3 b \sinh (x) \cosh (x)}{\left(a^2-b^2\right)^3}+\frac{a^2 b^3 \sinh (x)}{\left(a^2-b^2\right)^3 (a \cosh (x)+b \sinh (x))}+\frac{a b \sinh (x) \cosh (x)}{4 \left(a^2-b^2\right)^2}+\frac{a b^3 \sinh (x) \cosh (x)}{\left(a^2-b^2\right)^3}+\frac{3 a^4 b^2 \log (a \cosh (x)+b \sinh (x))}{\left(a^2-b^2\right)^4}+\frac{3 a^2 b^4 \log (a \cosh (x)+b \sinh (x))}{\left(a^2-b^2\right)^4}",1,"(-6*a^3*b^3*x)/(a^2 - b^2)^4 - (a^3*b*x)/(a^2 - b^2)^3 + (a*b^3*x)/(a^2 - b^2)^3 + (a*b*x)/(4*(a^2 - b^2)^2) + (b^2*Cosh[x]^4)/(4*(a^2 - b^2)^2) + (3*a^4*b^2*Log[a*Cosh[x] + b*Sinh[x]])/(a^2 - b^2)^4 + (3*a^2*b^4*Log[a*Cosh[x] + b*Sinh[x]])/(a^2 - b^2)^4 + (a^3*b*Cosh[x]*Sinh[x])/(a^2 - b^2)^3 + (a*b^3*Cosh[x]*Sinh[x])/(a^2 - b^2)^3 + (a*b*Cosh[x]*Sinh[x])/(4*(a^2 - b^2)^2) - (a*b*Cosh[x]^3*Sinh[x])/(2*(a^2 - b^2)^2) - (2*a^2*b^2*Sinh[x]^2)/(a^2 - b^2)^3 + (a^2*Sinh[x]^4)/(4*(a^2 - b^2)^2) + (a^2*b^3*Sinh[x])/((a^2 - b^2)^3*(a*Cosh[x] + b*Sinh[x]))","A",48,12,20,0.6000,1,"{3111, 3109, 2565, 30, 2568, 2635, 8, 2564, 3098, 3133, 3097, 3075}"
724,1,80,0,0.0816141,"\int \frac{A+C \sinh (x)}{b \cosh (x)+c \sinh (x)} \, dx","Int[(A + C*Sinh[x])/(b*Cosh[x] + c*Sinh[x]),x]","\frac{A \tan ^{-1}\left(\frac{b \sinh (x)+c \cosh (x)}{\sqrt{b^2-c^2}}\right)}{\sqrt{b^2-c^2}}-\frac{c C x}{b^2-c^2}+\frac{b C \log (b \cosh (x)+c \sinh (x))}{b^2-c^2}","\frac{A \tan ^{-1}\left(\frac{b \sinh (x)+c \cosh (x)}{\sqrt{b^2-c^2}}\right)}{\sqrt{b^2-c^2}}-\frac{c C x}{b^2-c^2}+\frac{b C \log (b \cosh (x)+c \sinh (x))}{b^2-c^2}",1,"-((c*C*x)/(b^2 - c^2)) + (A*ArcTan[(c*Cosh[x] + b*Sinh[x])/Sqrt[b^2 - c^2]])/Sqrt[b^2 - c^2] + (b*C*Log[b*Cosh[x] + c*Sinh[x]])/(b^2 - c^2)","A",3,3,18,0.1667,1,"{3137, 3074, 206}"
725,1,82,0,0.0790252,"\int \frac{A+C \sinh (x)}{(b \cosh (x)+c \sinh (x))^2} \, dx","Int[(A + C*Sinh[x])/(b*Cosh[x] + c*Sinh[x])^2,x]","-\frac{-A b \sinh (x)-A c \cosh (x)+b C}{\left(b^2-c^2\right) (b \cosh (x)+c \sinh (x))}-\frac{c C \tan ^{-1}\left(\frac{b \sinh (x)+c \cosh (x)}{\sqrt{b^2-c^2}}\right)}{\left(b^2-c^2\right)^{3/2}}","-\frac{-A b \sinh (x)-A c \cosh (x)+b C}{\left(b^2-c^2\right) (b \cosh (x)+c \sinh (x))}-\frac{c C \tan ^{-1}\left(\frac{b \sinh (x)+c \cosh (x)}{\sqrt{b^2-c^2}}\right)}{\left(b^2-c^2\right)^{3/2}}",1,"-((c*C*ArcTan[(c*Cosh[x] + b*Sinh[x])/Sqrt[b^2 - c^2]])/(b^2 - c^2)^(3/2)) - (b*C - A*c*Cosh[x] - A*b*Sinh[x])/((b^2 - c^2)*(b*Cosh[x] + c*Sinh[x]))","A",3,3,18,0.1667,1,"{3154, 3074, 206}"
726,1,123,0,0.1266533,"\int \frac{A+C \sinh (x)}{(b \cosh (x)+c \sinh (x))^3} \, dx","Int[(A + C*Sinh[x])/(b*Cosh[x] + c*Sinh[x])^3,x]","-\frac{-A b \sinh (x)-A c \cosh (x)+b C}{2 \left(b^2-c^2\right) (b \cosh (x)+c \sinh (x))^2}+\frac{A \tan ^{-1}\left(\frac{b \sinh (x)+c \cosh (x)}{\sqrt{b^2-c^2}}\right)}{2 \left(b^2-c^2\right)^{3/2}}-\frac{b c C \sinh (x)+c^2 C \cosh (x)}{\left(b^2-c^2\right)^2 (b \cosh (x)+c \sinh (x))}","-\frac{-A b \sinh (x)-A c \cosh (x)+b C}{2 \left(b^2-c^2\right) (b \cosh (x)+c \sinh (x))^2}+\frac{A \tan ^{-1}\left(\frac{b \sinh (x)+c \cosh (x)}{\sqrt{b^2-c^2}}\right)}{2 \left(b^2-c^2\right)^{3/2}}-\frac{b c C \sinh (x)+c^2 C \cosh (x)}{\left(b^2-c^2\right)^2 (b \cosh (x)+c \sinh (x))}",1,"(A*ArcTan[(c*Cosh[x] + b*Sinh[x])/Sqrt[b^2 - c^2]])/(2*(b^2 - c^2)^(3/2)) - (b*C - A*c*Cosh[x] - A*b*Sinh[x])/(2*(b^2 - c^2)*(b*Cosh[x] + c*Sinh[x])^2) - (c^2*C*Cosh[x] + b*c*C*Sinh[x])/((b^2 - c^2)^2*(b*Cosh[x] + c*Sinh[x]))","A",4,4,18,0.2222,1,"{3157, 3153, 3074, 206}"
727,1,80,0,0.0614946,"\int \frac{A+B \cosh (x)}{b \cosh (x)+c \sinh (x)} \, dx","Int[(A + B*Cosh[x])/(b*Cosh[x] + c*Sinh[x]),x]","\frac{A \tan ^{-1}\left(\frac{b \sinh (x)+c \cosh (x)}{\sqrt{b^2-c^2}}\right)}{\sqrt{b^2-c^2}}+\frac{b B x}{b^2-c^2}-\frac{B c \log (b \cosh (x)+c \sinh (x))}{b^2-c^2}","\frac{A \tan ^{-1}\left(\frac{b \sinh (x)+c \cosh (x)}{\sqrt{b^2-c^2}}\right)}{\sqrt{b^2-c^2}}+\frac{b B x}{b^2-c^2}-\frac{B c \log (b \cosh (x)+c \sinh (x))}{b^2-c^2}",1,"(b*B*x)/(b^2 - c^2) + (A*ArcTan[(c*Cosh[x] + b*Sinh[x])/Sqrt[b^2 - c^2]])/Sqrt[b^2 - c^2] - (B*c*Log[b*Cosh[x] + c*Sinh[x]])/(b^2 - c^2)","A",3,3,18,0.1667,1,"{3138, 3074, 206}"
728,1,78,0,0.0613427,"\int \frac{A+B \cosh (x)}{(b \cosh (x)+c \sinh (x))^2} \, dx","Int[(A + B*Cosh[x])/(b*Cosh[x] + c*Sinh[x])^2,x]","\frac{A b \sinh (x)+A c \cosh (x)+B c}{\left(b^2-c^2\right) (b \cosh (x)+c \sinh (x))}+\frac{b B \tan ^{-1}\left(\frac{b \sinh (x)+c \cosh (x)}{\sqrt{b^2-c^2}}\right)}{\left(b^2-c^2\right)^{3/2}}","\frac{A b \sinh (x)+A c \cosh (x)+B c}{\left(b^2-c^2\right) (b \cosh (x)+c \sinh (x))}+\frac{b B \tan ^{-1}\left(\frac{b \sinh (x)+c \cosh (x)}{\sqrt{b^2-c^2}}\right)}{\left(b^2-c^2\right)^{3/2}}",1,"(b*B*ArcTan[(c*Cosh[x] + b*Sinh[x])/Sqrt[b^2 - c^2]])/(b^2 - c^2)^(3/2) + (B*c + A*c*Cosh[x] + A*b*Sinh[x])/((b^2 - c^2)*(b*Cosh[x] + c*Sinh[x]))","A",3,3,18,0.1667,1,"{3155, 3074, 206}"
729,1,120,0,0.1189535,"\int \frac{A+B \cosh (x)}{(b \cosh (x)+c \sinh (x))^3} \, dx","Int[(A + B*Cosh[x])/(b*Cosh[x] + c*Sinh[x])^3,x]","\frac{A b \sinh (x)+A c \cosh (x)+B c}{2 \left(b^2-c^2\right) (b \cosh (x)+c \sinh (x))^2}+\frac{A \tan ^{-1}\left(\frac{b \sinh (x)+c \cosh (x)}{\sqrt{b^2-c^2}}\right)}{2 \left(b^2-c^2\right)^{3/2}}+\frac{b^2 B \sinh (x)+b B c \cosh (x)}{\left(b^2-c^2\right)^2 (b \cosh (x)+c \sinh (x))}","\frac{A b \sinh (x)+A c \cosh (x)+B c}{2 \left(b^2-c^2\right) (b \cosh (x)+c \sinh (x))^2}+\frac{A \tan ^{-1}\left(\frac{b \sinh (x)+c \cosh (x)}{\sqrt{b^2-c^2}}\right)}{2 \left(b^2-c^2\right)^{3/2}}+\frac{b^2 B \sinh (x)+b B c \cosh (x)}{\left(b^2-c^2\right)^2 (b \cosh (x)+c \sinh (x))}",1,"(A*ArcTan[(c*Cosh[x] + b*Sinh[x])/Sqrt[b^2 - c^2]])/(2*(b^2 - c^2)^(3/2)) + (B*c + A*c*Cosh[x] + A*b*Sinh[x])/(2*(b^2 - c^2)*(b*Cosh[x] + c*Sinh[x])^2) + (b*B*c*Cosh[x] + b^2*B*Sinh[x])/((b^2 - c^2)^2*(b*Cosh[x] + c*Sinh[x]))","A",4,4,18,0.2222,1,"{3158, 3153, 3074, 206}"
730,1,11,0,0.0389334,"\int \frac{\cosh (x)+\sinh (x)}{\cosh (x)-\sinh (x)} \, dx","Int[(Cosh[x] + Sinh[x])/(Cosh[x] - Sinh[x]),x]","\frac{1}{2} (\sinh (x)+\cosh (x))^2","\frac{1}{2} (\sinh (x)+\cosh (x))^2",1,"(Cosh[x] + Sinh[x])^2/2","A",1,1,15,0.06667,1,"{4385}"
731,1,11,0,0.0344315,"\int \frac{\cosh (x)-\sinh (x)}{\cosh (x)+\sinh (x)} \, dx","Int[(Cosh[x] - Sinh[x])/(Cosh[x] + Sinh[x]),x]","-\frac{1}{2 (\sinh (x)+\cosh (x))^2}","-\frac{1}{2 (\sinh (x)+\cosh (x))^2}",1,"-1/(2*(Cosh[x] + Sinh[x])^2)","A",1,1,15,0.06667,1,"{4385}"
732,1,14,0,0.0266594,"\int \frac{\cosh (x)-i \sinh (x)}{\cosh (x)+i \sinh (x)} \, dx","Int[(Cosh[x] - I*Sinh[x])/(Cosh[x] + I*Sinh[x]),x]","-i \log (\cosh (x)+i \sinh (x))","-i \log (\cosh (x)+i \sinh (x))",1,"(-I)*Log[Cosh[x] + I*Sinh[x]]","A",1,1,21,0.04762,1,"{3133}"
733,1,53,0,0.0464645,"\int \frac{B \cosh (x)+C \sinh (x)}{b \cosh (x)+c \sinh (x)} \, dx","Int[(B*Cosh[x] + C*Sinh[x])/(b*Cosh[x] + c*Sinh[x]),x]","\frac{x (b B-c C)}{b^2-c^2}-\frac{(B c-b C) \log (b \cosh (x)+c \sinh (x))}{b^2-c^2}","\frac{x (b B-c C)}{b^2-c^2}-\frac{(B c-b C) \log (b \cosh (x)+c \sinh (x))}{b^2-c^2}",1,"((b*B - c*C)*x)/(b^2 - c^2) - ((B*c - b*C)*Log[b*Cosh[x] + c*Sinh[x]])/(b^2 - c^2)","A",1,1,21,0.04762,1,"{3133}"
734,1,78,0,0.0718705,"\int \frac{B \cosh (x)+C \sinh (x)}{(b \cosh (x)+c \sinh (x))^2} \, dx","Int[(B*Cosh[x] + C*Sinh[x])/(b*Cosh[x] + c*Sinh[x])^2,x]","\frac{B c-b C}{\left(b^2-c^2\right) (b \cosh (x)+c \sinh (x))}+\frac{(b B-c C) \tan ^{-1}\left(\frac{b \sinh (x)+c \cosh (x)}{\sqrt{b^2-c^2}}\right)}{\left(b^2-c^2\right)^{3/2}}","\frac{B c-b C}{\left(b^2-c^2\right) (b \cosh (x)+c \sinh (x))}+\frac{(b B-c C) \tan ^{-1}\left(\frac{b \sinh (x)+c \cosh (x)}{\sqrt{b^2-c^2}}\right)}{\left(b^2-c^2\right)^{3/2}}",1,"((b*B - c*C)*ArcTan[(c*Cosh[x] + b*Sinh[x])/Sqrt[b^2 - c^2]])/(b^2 - c^2)^(3/2) + (B*c - b*C)/((b^2 - c^2)*(b*Cosh[x] + c*Sinh[x]))","A",3,3,21,0.1429,1,"{3153, 3074, 206}"
735,1,71,0,0.0687751,"\int \frac{B \cosh (x)+C \sinh (x)}{(b \cosh (x)+c \sinh (x))^3} \, dx","Int[(B*Cosh[x] + C*Sinh[x])/(b*Cosh[x] + c*Sinh[x])^3,x]","\frac{B c-b C}{2 \left(b^2-c^2\right) (b \cosh (x)+c \sinh (x))^2}+\frac{\sinh (x) (b B-c C)}{b \left(b^2-c^2\right) (b \cosh (x)+c \sinh (x))}","\frac{B c-b C}{2 \left(b^2-c^2\right) (b \cosh (x)+c \sinh (x))^2}+\frac{\sinh (x) (b B-c C)}{b \left(b^2-c^2\right) (b \cosh (x)+c \sinh (x))}",1,"(B*c - b*C)/(2*(b^2 - c^2)*(b*Cosh[x] + c*Sinh[x])^2) + ((b*B - c*C)*Sinh[x])/(b*(b^2 - c^2)*(b*Cosh[x] + c*Sinh[x]))","A",3,3,21,0.1429,1,"{3156, 12, 3075}"
736,1,92,0,0.0696699,"\int \frac{A+B \cosh (x)+C \sinh (x)}{b \cosh (x)+c \sinh (x)} \, dx","Int[(A + B*Cosh[x] + C*Sinh[x])/(b*Cosh[x] + c*Sinh[x]),x]","\frac{A \tan ^{-1}\left(\frac{b \sinh (x)+c \cosh (x)}{\sqrt{b^2-c^2}}\right)}{\sqrt{b^2-c^2}}+\frac{x (b B-c C)}{b^2-c^2}-\frac{(B c-b C) \log (b \cosh (x)+c \sinh (x))}{b^2-c^2}","\frac{A \tan ^{-1}\left(\frac{b \sinh (x)+c \cosh (x)}{\sqrt{b^2-c^2}}\right)}{\sqrt{b^2-c^2}}+\frac{x (b B-c C)}{b^2-c^2}-\frac{(B c-b C) \log (b \cosh (x)+c \sinh (x))}{b^2-c^2}",1,"((b*B - c*C)*x)/(b^2 - c^2) + (A*ArcTan[(c*Cosh[x] + b*Sinh[x])/Sqrt[b^2 - c^2]])/Sqrt[b^2 - c^2] - ((B*c - b*C)*Log[b*Cosh[x] + c*Sinh[x]])/(b^2 - c^2)","A",3,3,22,0.1364,1,"{3136, 3074, 206}"
737,1,88,0,0.0686693,"\int \frac{A+B \cosh (x)+C \sinh (x)}{(b \cosh (x)+c \sinh (x))^2} \, dx","Int[(A + B*Cosh[x] + C*Sinh[x])/(b*Cosh[x] + c*Sinh[x])^2,x]","\frac{A b \sinh (x)+A c \cosh (x)-b C+B c}{\left(b^2-c^2\right) (b \cosh (x)+c \sinh (x))}+\frac{(b B-c C) \tan ^{-1}\left(\frac{b \sinh (x)+c \cosh (x)}{\sqrt{b^2-c^2}}\right)}{\left(b^2-c^2\right)^{3/2}}","\frac{A b \sinh (x)+A c \cosh (x)-b C+B c}{\left(b^2-c^2\right) (b \cosh (x)+c \sinh (x))}+\frac{(b B-c C) \tan ^{-1}\left(\frac{b \sinh (x)+c \cosh (x)}{\sqrt{b^2-c^2}}\right)}{\left(b^2-c^2\right)^{3/2}}",1,"((b*B - c*C)*ArcTan[(c*Cosh[x] + b*Sinh[x])/Sqrt[b^2 - c^2]])/(b^2 - c^2)^(3/2) + (B*c - b*C + A*c*Cosh[x] + A*b*Sinh[x])/((b^2 - c^2)*(b*Cosh[x] + c*Sinh[x]))","A",3,3,22,0.1364,1,"{3153, 3074, 206}"
738,1,135,0,0.1399925,"\int \frac{A+B \cosh (x)+C \sinh (x)}{(b \cosh (x)+c \sinh (x))^3} \, dx","Int[(A + B*Cosh[x] + C*Sinh[x])/(b*Cosh[x] + c*Sinh[x])^3,x]","\frac{A b \sinh (x)+A c \cosh (x)-b C+B c}{2 \left(b^2-c^2\right) (b \cosh (x)+c \sinh (x))^2}+\frac{A \tan ^{-1}\left(\frac{b \sinh (x)+c \cosh (x)}{\sqrt{b^2-c^2}}\right)}{2 \left(b^2-c^2\right)^{3/2}}+\frac{b \sinh (x) (b B-c C)+c \cosh (x) (b B-c C)}{\left(b^2-c^2\right)^2 (b \cosh (x)+c \sinh (x))}","\frac{A b \sinh (x)+A c \cosh (x)-b C+B c}{2 \left(b^2-c^2\right) (b \cosh (x)+c \sinh (x))^2}+\frac{A \tan ^{-1}\left(\frac{b \sinh (x)+c \cosh (x)}{\sqrt{b^2-c^2}}\right)}{2 \left(b^2-c^2\right)^{3/2}}+\frac{b \sinh (x) (b B-c C)+c \cosh (x) (b B-c C)}{\left(b^2-c^2\right)^2 (b \cosh (x)+c \sinh (x))}",1,"(A*ArcTan[(c*Cosh[x] + b*Sinh[x])/Sqrt[b^2 - c^2]])/(2*(b^2 - c^2)^(3/2)) + (B*c - b*C + A*c*Cosh[x] + A*b*Sinh[x])/(2*(b^2 - c^2)*(b*Cosh[x] + c*Sinh[x])^2) + (c*(b*B - c*C)*Cosh[x] + b*(b*B - c*C)*Sinh[x])/((b^2 - c^2)^2*(b*Cosh[x] + c*Sinh[x]))","A",4,4,22,0.1818,1,"{3156, 3153, 3074, 206}"
739,1,119,0,0.1319994,"\int (a+b \cosh (x)+c \sinh (x))^3 \, dx","Int[(a + b*Cosh[x] + c*Sinh[x])^3,x]","\frac{1}{2} a x \left(2 a^2+3 b^2-3 c^2\right)+\frac{1}{6} b \sinh (x) \left(11 a^2+4 b^2-4 c^2\right)+\frac{1}{6} c \cosh (x) \left(11 a^2+4 b^2-4 c^2\right)+\frac{1}{3} (b \sinh (x)+c \cosh (x)) (a+b \cosh (x)+c \sinh (x))^2+\frac{5}{6} (a b \sinh (x)+a c \cosh (x)) (a+b \cosh (x)+c \sinh (x))","\frac{1}{2} a x \left(2 a^2+3 b^2-3 c^2\right)+\frac{1}{6} b \sinh (x) \left(11 a^2+4 b^2-4 c^2\right)+\frac{1}{6} c \cosh (x) \left(11 a^2+4 b^2-4 c^2\right)+\frac{1}{3} (b \sinh (x)+c \cosh (x)) (a+b \cosh (x)+c \sinh (x))^2+\frac{5}{6} (a b \sinh (x)+a c \cosh (x)) (a+b \cosh (x)+c \sinh (x))",1,"(a*(2*a^2 + 3*b^2 - 3*c^2)*x)/2 + (c*(11*a^2 + 4*b^2 - 4*c^2)*Cosh[x])/6 + (b*(11*a^2 + 4*b^2 - 4*c^2)*Sinh[x])/6 + (5*(a*c*Cosh[x] + a*b*Sinh[x])*(a + b*Cosh[x] + c*Sinh[x]))/6 + ((c*Cosh[x] + b*Sinh[x])*(a + b*Cosh[x] + c*Sinh[x])^2)/3","A",5,4,12,0.3333,1,"{3120, 3146, 2637, 2638}"
740,1,59,0,0.0354636,"\int (a+b \cosh (x)+c \sinh (x))^2 \, dx","Int[(a + b*Cosh[x] + c*Sinh[x])^2,x]","\frac{1}{2} x \left(2 a^2+b^2-c^2\right)+\frac{1}{2} (b \sinh (x)+c \cosh (x)) (a+b \cosh (x)+c \sinh (x))+\frac{3}{2} a b \sinh (x)+\frac{3}{2} a c \cosh (x)","\frac{1}{2} x \left(2 a^2+b^2-c^2\right)+\frac{1}{2} (b \sinh (x)+c \cosh (x)) (a+b \cosh (x)+c \sinh (x))+\frac{3}{2} a b \sinh (x)+\frac{3}{2} a c \cosh (x)",1,"((2*a^2 + b^2 - c^2)*x)/2 + (3*a*c*Cosh[x])/2 + (3*a*b*Sinh[x])/2 + ((c*Cosh[x] + b*Sinh[x])*(a + b*Cosh[x] + c*Sinh[x]))/2","A",4,3,12,0.2500,1,"{3120, 2637, 2638}"
741,1,12,0,0.0087491,"\int (a+b \cosh (x)+c \sinh (x)) \, dx","Int[a + b*Cosh[x] + c*Sinh[x],x]","a x+b \sinh (x)+c \cosh (x)","a x+b \sinh (x)+c \cosh (x)",1,"a*x + c*Cosh[x] + b*Sinh[x]","A",3,2,10,0.2000,1,"{2637, 2638}"
742,1,51,0,0.0687801,"\int \frac{1}{a+b \cosh (x)+c \sinh (x)} \, dx","Int[(a + b*Cosh[x] + c*Sinh[x])^(-1),x]","-\frac{2 \tanh ^{-1}\left(\frac{c-(a-b) \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2-b^2+c^2}}\right)}{\sqrt{a^2-b^2+c^2}}","-\frac{2 \tanh ^{-1}\left(\frac{c-(a-b) \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2-b^2+c^2}}\right)}{\sqrt{a^2-b^2+c^2}}",1,"(-2*ArcTanh[(c - (a - b)*Tanh[x/2])/Sqrt[a^2 - b^2 + c^2]])/Sqrt[a^2 - b^2 + c^2]","A",3,3,12,0.2500,1,"{3124, 618, 206}"
743,1,90,0,0.0875916,"\int \frac{1}{(a+b \cosh (x)+c \sinh (x))^2} \, dx","Int[(a + b*Cosh[x] + c*Sinh[x])^(-2),x]","-\frac{2 a \tanh ^{-1}\left(\frac{c-(a-b) \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2-b^2+c^2}}\right)}{\left(a^2-b^2+c^2\right)^{3/2}}-\frac{b \sinh (x)+c \cosh (x)}{\left(a^2-b^2+c^2\right) (a+b \cosh (x)+c \sinh (x))}","-\frac{2 a \tanh ^{-1}\left(\frac{c-(a-b) \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2-b^2+c^2}}\right)}{\left(a^2-b^2+c^2\right)^{3/2}}-\frac{b \sinh (x)+c \cosh (x)}{\left(a^2-b^2+c^2\right) (a+b \cosh (x)+c \sinh (x))}",1,"(-2*a*ArcTanh[(c - (a - b)*Tanh[x/2])/Sqrt[a^2 - b^2 + c^2]])/(a^2 - b^2 + c^2)^(3/2) - (c*Cosh[x] + b*Sinh[x])/((a^2 - b^2 + c^2)*(a + b*Cosh[x] + c*Sinh[x]))","A",5,5,12,0.4167,1,"{3129, 12, 3124, 618, 206}"
744,1,146,0,0.1651414,"\int \frac{1}{(a+b \cosh (x)+c \sinh (x))^3} \, dx","Int[(a + b*Cosh[x] + c*Sinh[x])^(-3),x]","-\frac{\left(2 a^2+b^2-c^2\right) \tanh ^{-1}\left(\frac{c-(a-b) \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2-b^2+c^2}}\right)}{\left(a^2-b^2+c^2\right)^{5/2}}-\frac{3 (a b \sinh (x)+a c \cosh (x))}{2 \left(a^2-b^2+c^2\right)^2 (a+b \cosh (x)+c \sinh (x))}-\frac{b \sinh (x)+c \cosh (x)}{2 \left(a^2-b^2+c^2\right) (a+b \cosh (x)+c \sinh (x))^2}","-\frac{\left(2 a^2+b^2-c^2\right) \tanh ^{-1}\left(\frac{c-(a-b) \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2-b^2+c^2}}\right)}{\left(a^2-b^2+c^2\right)^{5/2}}-\frac{3 (a b \sinh (x)+a c \cosh (x))}{2 \left(a^2-b^2+c^2\right)^2 (a+b \cosh (x)+c \sinh (x))}-\frac{b \sinh (x)+c \cosh (x)}{2 \left(a^2-b^2+c^2\right) (a+b \cosh (x)+c \sinh (x))^2}",1,"-(((2*a^2 + b^2 - c^2)*ArcTanh[(c - (a - b)*Tanh[x/2])/Sqrt[a^2 - b^2 + c^2]])/(a^2 - b^2 + c^2)^(5/2)) - (c*Cosh[x] + b*Sinh[x])/(2*(a^2 - b^2 + c^2)*(a + b*Cosh[x] + c*Sinh[x])^2) - (3*(a*c*Cosh[x] + a*b*Sinh[x]))/(2*(a^2 - b^2 + c^2)^2*(a + b*Cosh[x] + c*Sinh[x]))","A",5,5,12,0.4167,1,"{3129, 3153, 3124, 618, 206}"
745,1,220,0,0.3017056,"\int \frac{1}{(a+b \cosh (x)+c \sinh (x))^4} \, dx","Int[(a + b*Cosh[x] + c*Sinh[x])^(-4),x]","-\frac{a \left(2 a^2+3 b^2-3 c^2\right) \tanh ^{-1}\left(\frac{c-(a-b) \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2-b^2+c^2}}\right)}{\left(a^2-b^2+c^2\right)^{7/2}}-\frac{b \sinh (x) \left(11 a^2+4 b^2-4 c^2\right)+c \cosh (x) \left(11 a^2+4 b^2-4 c^2\right)}{6 \left(a^2-b^2+c^2\right)^3 (a+b \cosh (x)+c \sinh (x))}-\frac{5 (a b \sinh (x)+a c \cosh (x))}{6 \left(a^2-b^2+c^2\right)^2 (a+b \cosh (x)+c \sinh (x))^2}-\frac{b \sinh (x)+c \cosh (x)}{3 \left(a^2-b^2+c^2\right) (a+b \cosh (x)+c \sinh (x))^3}","-\frac{a \left(2 a^2+3 b^2-3 c^2\right) \tanh ^{-1}\left(\frac{c-(a-b) \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2-b^2+c^2}}\right)}{\left(a^2-b^2+c^2\right)^{7/2}}-\frac{b \sinh (x) \left(11 a^2+4 b^2-4 c^2\right)+c \cosh (x) \left(11 a^2+4 b^2-4 c^2\right)}{6 \left(a^2-b^2+c^2\right)^3 (a+b \cosh (x)+c \sinh (x))}-\frac{5 (a b \sinh (x)+a c \cosh (x))}{6 \left(a^2-b^2+c^2\right)^2 (a+b \cosh (x)+c \sinh (x))^2}-\frac{b \sinh (x)+c \cosh (x)}{3 \left(a^2-b^2+c^2\right) (a+b \cosh (x)+c \sinh (x))^3}",1,"-((a*(2*a^2 + 3*b^2 - 3*c^2)*ArcTanh[(c - (a - b)*Tanh[x/2])/Sqrt[a^2 - b^2 + c^2]])/(a^2 - b^2 + c^2)^(7/2)) - (c*Cosh[x] + b*Sinh[x])/(3*(a^2 - b^2 + c^2)*(a + b*Cosh[x] + c*Sinh[x])^3) - (5*(a*c*Cosh[x] + a*b*Sinh[x]))/(6*(a^2 - b^2 + c^2)^2*(a + b*Cosh[x] + c*Sinh[x])^2) - (c*(11*a^2 + 4*b^2 - 4*c^2)*Cosh[x] + b*(11*a^2 + 4*b^2 - 4*c^2)*Sinh[x])/(6*(a^2 - b^2 + c^2)^3*(a + b*Cosh[x] + c*Sinh[x]))","A",6,6,12,0.5000,1,"{3129, 3156, 3153, 3124, 618, 206}"
746,1,105,0,0.1162522,"\int (a+a \cosh (x)+c \sinh (x))^3 \, dx","Int[(a + a*Cosh[x] + c*Sinh[x])^3,x]","\frac{1}{2} a x \left(5 a^2-3 c^2\right)+\frac{1}{6} a \left(15 a^2-4 c^2\right) \sinh (x)+\frac{1}{6} c \left(15 a^2-4 c^2\right) \cosh (x)+\frac{5}{6} \left(a^2 \sinh (x)+a c \cosh (x)\right) (a \cosh (x)+a+c \sinh (x))+\frac{1}{3} (a \sinh (x)+c \cosh (x)) (a \cosh (x)+a+c \sinh (x))^2","\frac{1}{2} a x \left(5 a^2-3 c^2\right)+\frac{1}{6} a \left(15 a^2-4 c^2\right) \sinh (x)+\frac{1}{6} c \left(15 a^2-4 c^2\right) \cosh (x)+\frac{5}{6} \left(a^2 \sinh (x)+a c \cosh (x)\right) (a \cosh (x)+a+c \sinh (x))+\frac{1}{3} (a \sinh (x)+c \cosh (x)) (a \cosh (x)+a+c \sinh (x))^2",1,"(a*(5*a^2 - 3*c^2)*x)/2 + (c*(15*a^2 - 4*c^2)*Cosh[x])/6 + (a*(15*a^2 - 4*c^2)*Sinh[x])/6 + (5*(a*c*Cosh[x] + a^2*Sinh[x])*(a + a*Cosh[x] + c*Sinh[x]))/6 + ((c*Cosh[x] + a*Sinh[x])*(a + a*Cosh[x] + c*Sinh[x])^2)/3","A",5,4,12,0.3333,1,"{3120, 3146, 2637, 2638}"
747,1,57,0,0.0345935,"\int (a+a \cosh (x)+c \sinh (x))^2 \, dx","Int[(a + a*Cosh[x] + c*Sinh[x])^2,x]","\frac{1}{2} x \left(3 a^2-c^2\right)+\frac{3}{2} a^2 \sinh (x)+\frac{3}{2} a c \cosh (x)+\frac{1}{2} (a \sinh (x)+c \cosh (x)) (a \cosh (x)+a+c \sinh (x))","\frac{1}{2} x \left(3 a^2-c^2\right)+\frac{3}{2} a^2 \sinh (x)+\frac{3}{2} a c \cosh (x)+\frac{1}{2} (a \sinh (x)+c \cosh (x)) (a \cosh (x)+a+c \sinh (x))",1,"((3*a^2 - c^2)*x)/2 + (3*a*c*Cosh[x])/2 + (3*a^2*Sinh[x])/2 + ((c*Cosh[x] + a*Sinh[x])*(a + a*Cosh[x] + c*Sinh[x]))/2","A",4,3,12,0.2500,1,"{3120, 2637, 2638}"
748,1,12,0,0.0091605,"\int (a+a \cosh (x)+c \sinh (x)) \, dx","Int[a + a*Cosh[x] + c*Sinh[x],x]","a x+a \sinh (x)+c \cosh (x)","a x+a \sinh (x)+c \cosh (x)",1,"a*x + c*Cosh[x] + a*Sinh[x]","A",3,2,10,0.2000,1,"{2637, 2638}"
749,1,15,0,0.0187025,"\int \frac{1}{a+a \cosh (x)+c \sinh (x)} \, dx","Int[(a + a*Cosh[x] + c*Sinh[x])^(-1),x]","\frac{\log \left(a+c \tanh \left(\frac{x}{2}\right)\right)}{c}","\frac{\log \left(a+c \tanh \left(\frac{x}{2}\right)\right)}{c}",1,"Log[a + c*Tanh[x/2]]/c","A",2,2,12,0.1667,1,"{3124, 31}"
750,1,43,0,0.0406585,"\int \frac{1}{(a+a \cosh (x)+c \sinh (x))^2} \, dx","Int[(a + a*Cosh[x] + c*Sinh[x])^(-2),x]","\frac{a \log \left(a+c \tanh \left(\frac{x}{2}\right)\right)}{c^3}-\frac{a \sinh (x)+c \cosh (x)}{c^2 (a \cosh (x)+a+c \sinh (x))}","\frac{a \log \left(a+c \tanh \left(\frac{x}{2}\right)\right)}{c^3}-\frac{a \sinh (x)+c \cosh (x)}{c^2 (a \cosh (x)+a+c \sinh (x))}",1,"(a*Log[a + c*Tanh[x/2]])/c^3 - (c*Cosh[x] + a*Sinh[x])/(c^2*(a + a*Cosh[x] + c*Sinh[x]))","A",4,4,12,0.3333,1,"{3129, 12, 3124, 31}"
751,1,89,0,0.0936418,"\int \frac{1}{(a+a \cosh (x)+c \sinh (x))^3} \, dx","Int[(a + a*Cosh[x] + c*Sinh[x])^(-3),x]","\frac{\left(3 a^2-c^2\right) \log \left(a+c \tanh \left(\frac{x}{2}\right)\right)}{2 c^5}-\frac{3 \left(a^2 \sinh (x)+a c \cosh (x)\right)}{2 c^4 (a \cosh (x)+a+c \sinh (x))}-\frac{a \sinh (x)+c \cosh (x)}{2 c^2 (a \cosh (x)+a+c \sinh (x))^2}","\frac{\left(3 a^2-c^2\right) \log \left(a+c \tanh \left(\frac{x}{2}\right)\right)}{2 c^5}-\frac{3 \left(a^2 \sinh (x)+a c \cosh (x)\right)}{2 c^4 (a \cosh (x)+a+c \sinh (x))}-\frac{a \sinh (x)+c \cosh (x)}{2 c^2 (a \cosh (x)+a+c \sinh (x))^2}",1,"((3*a^2 - c^2)*Log[a + c*Tanh[x/2]])/(2*c^5) - (c*Cosh[x] + a*Sinh[x])/(2*c^2*(a + a*Cosh[x] + c*Sinh[x])^2) - (3*(a*c*Cosh[x] + a^2*Sinh[x]))/(2*c^4*(a + a*Cosh[x] + c*Sinh[x]))","A",4,4,12,0.3333,1,"{3129, 3153, 3124, 31}"
752,1,140,0,0.2127019,"\int \frac{1}{(a+a \cosh (x)+c \sinh (x))^4} \, dx","Int[(a + a*Cosh[x] + c*Sinh[x])^(-4),x]","\frac{a \left(5 a^2-3 c^2\right) \log \left(a+c \tanh \left(\frac{x}{2}\right)\right)}{2 c^7}-\frac{a \left(15 a^2-4 c^2\right) \sinh (x)+c \left(15 a^2-4 c^2\right) \cosh (x)}{6 c^6 (a \cosh (x)+a+c \sinh (x))}-\frac{5 \left(a^2 \sinh (x)+a c \cosh (x)\right)}{6 c^4 (a \cosh (x)+a+c \sinh (x))^2}-\frac{a \sinh (x)+c \cosh (x)}{3 c^2 (a \cosh (x)+a+c \sinh (x))^3}","\frac{a \left(5 a^2-3 c^2\right) \log \left(a+c \tanh \left(\frac{x}{2}\right)\right)}{2 c^7}-\frac{a \left(15 a^2-4 c^2\right) \sinh (x)+c \left(15 a^2-4 c^2\right) \cosh (x)}{6 c^6 (a \cosh (x)+a+c \sinh (x))}-\frac{5 \left(a^2 \sinh (x)+a c \cosh (x)\right)}{6 c^4 (a \cosh (x)+a+c \sinh (x))^2}-\frac{a \sinh (x)+c \cosh (x)}{3 c^2 (a \cosh (x)+a+c \sinh (x))^3}",1,"(a*(5*a^2 - 3*c^2)*Log[a + c*Tanh[x/2]])/(2*c^7) - (c*Cosh[x] + a*Sinh[x])/(3*c^2*(a + a*Cosh[x] + c*Sinh[x])^3) - (5*(a*c*Cosh[x] + a^2*Sinh[x]))/(6*c^4*(a + a*Cosh[x] + c*Sinh[x])^2) - (c*(15*a^2 - 4*c^2)*Cosh[x] + a*(15*a^2 - 4*c^2)*Sinh[x])/(6*c^6*(a + a*Cosh[x] + c*Sinh[x]))","A",5,5,12,0.4167,1,"{3129, 3156, 3153, 3124, 31}"
753,1,188,0,0.1479561,"\int \left(\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)^4 \, dx","Int[(Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x])^4,x]","\frac{35}{8} x \left(b^2-c^2\right)^2+\frac{35}{8} b \left(b^2-c^2\right)^{3/2} \sinh (x)+\frac{35}{8} c \left(b^2-c^2\right)^{3/2} \cosh (x)+\frac{1}{4} (b \sinh (x)+c \cosh (x)) \left(\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)^3+\frac{7}{12} \sqrt{b^2-c^2} (b \sinh (x)+c \cosh (x)) \left(\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)^2+\frac{35}{24} \left(b^2-c^2\right) (b \sinh (x)+c \cosh (x)) \left(\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)","\frac{35}{8} x \left(b^2-c^2\right)^2+\frac{35}{8} b \left(b^2-c^2\right)^{3/2} \sinh (x)+\frac{35}{8} c \left(b^2-c^2\right)^{3/2} \cosh (x)+\frac{1}{4} (b \sinh (x)+c \cosh (x)) \left(\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)^3+\frac{7}{12} \sqrt{b^2-c^2} (b \sinh (x)+c \cosh (x)) \left(\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)^2+\frac{35}{24} \left(b^2-c^2\right) (b \sinh (x)+c \cosh (x)) \left(\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)",1,"(35*(b^2 - c^2)^2*x)/8 + (35*c*(b^2 - c^2)^(3/2)*Cosh[x])/8 + (35*b*(b^2 - c^2)^(3/2)*Sinh[x])/8 + (35*(b^2 - c^2)*(c*Cosh[x] + b*Sinh[x])*(Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x]))/24 + (7*Sqrt[b^2 - c^2]*(c*Cosh[x] + b*Sinh[x])*(Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x])^2)/12 + ((c*Cosh[x] + b*Sinh[x])*(Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x])^3)/4","A",6,3,24,0.1250,1,"{3113, 2637, 2638}"
754,1,136,0,0.0896551,"\int \left(\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)^3 \, dx","Int[(Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x])^3,x]","\frac{5}{2} x \left(b^2-c^2\right)^{3/2}+\frac{5}{2} b \left(b^2-c^2\right) \sinh (x)+\frac{5}{2} c \left(b^2-c^2\right) \cosh (x)+\frac{1}{3} (b \sinh (x)+c \cosh (x)) \left(\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)^2+\frac{5}{6} \sqrt{b^2-c^2} (b \sinh (x)+c \cosh (x)) \left(\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)","\frac{5}{2} x \left(b^2-c^2\right)^{3/2}+\frac{5}{2} b \left(b^2-c^2\right) \sinh (x)+\frac{5}{2} c \left(b^2-c^2\right) \cosh (x)+\frac{1}{3} (b \sinh (x)+c \cosh (x)) \left(\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)^2+\frac{5}{6} \sqrt{b^2-c^2} (b \sinh (x)+c \cosh (x)) \left(\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)",1,"(5*(b^2 - c^2)^(3/2)*x)/2 + (5*c*(b^2 - c^2)*Cosh[x])/2 + (5*b*(b^2 - c^2)*Sinh[x])/2 + (5*Sqrt[b^2 - c^2]*(c*Cosh[x] + b*Sinh[x])*(Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x]))/6 + ((c*Cosh[x] + b*Sinh[x])*(Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x])^2)/3","A",5,3,24,0.1250,1,"{3113, 2637, 2638}"
755,1,90,0,0.048117,"\int \left(\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)^2 \, dx","Int[(Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x])^2,x]","\frac{3}{2} x \left(b^2-c^2\right)+\frac{3}{2} b \sqrt{b^2-c^2} \sinh (x)+\frac{3}{2} c \sqrt{b^2-c^2} \cosh (x)+\frac{1}{2} (b \sinh (x)+c \cosh (x)) \left(\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)","\frac{3}{2} x \left(b^2-c^2\right)+\frac{3}{2} b \sqrt{b^2-c^2} \sinh (x)+\frac{3}{2} c \sqrt{b^2-c^2} \cosh (x)+\frac{1}{2} (b \sinh (x)+c \cosh (x)) \left(\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)",1,"(3*(b^2 - c^2)*x)/2 + (3*c*Sqrt[b^2 - c^2]*Cosh[x])/2 + (3*b*Sqrt[b^2 - c^2]*Sinh[x])/2 + ((c*Cosh[x] + b*Sinh[x])*(Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x]))/2","A",4,3,24,0.1250,1,"{3113, 2637, 2638}"
756,1,24,0,0.0108072,"\int \left(\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right) \, dx","Int[Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x],x]","x \sqrt{b^2-c^2}+b \sinh (x)+c \cosh (x)","x \sqrt{b^2-c^2}+b \sinh (x)+c \cosh (x)",1,"Sqrt[b^2 - c^2]*x + c*Cosh[x] + b*Sinh[x]","A",3,2,22,0.09091,1,"{2637, 2638}"
757,1,34,0,0.0367554,"\int \frac{1}{\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)} \, dx","Int[(Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x])^(-1),x]","-\frac{\sqrt{b^2-c^2} \sinh (x)+c}{c (b \sinh (x)+c \cosh (x))}","-\frac{\sqrt{b^2-c^2} \sinh (x)+c}{c (b \sinh (x)+c \cosh (x))}",1,"-((c + Sqrt[b^2 - c^2]*Sinh[x])/(c*(c*Cosh[x] + b*Sinh[x])))","A",1,1,24,0.04167,1,"{3114}"
758,1,100,0,0.0806866,"\int \frac{1}{\left(\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)^2} \, dx","Int[(Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x])^(-2),x]","\frac{b \sinh (x)+c \cosh (x)}{3 \sqrt{b^2-c^2} \left(\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)^2}-\frac{\sqrt{b^2-c^2} \sinh (x)+c}{3 c \sqrt{b^2-c^2} (b \sinh (x)+c \cosh (x))}","\frac{b \sinh (x)+c \cosh (x)}{3 \sqrt{b^2-c^2} \left(\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)^2}-\frac{\sqrt{b^2-c^2} \sinh (x)+c}{3 c \sqrt{b^2-c^2} (b \sinh (x)+c \cosh (x))}",1,"(c*Cosh[x] + b*Sinh[x])/(3*Sqrt[b^2 - c^2]*(Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x])^2) - (c + Sqrt[b^2 - c^2]*Sinh[x])/(3*c*Sqrt[b^2 - c^2]*(c*Cosh[x] + b*Sinh[x]))","A",2,2,24,0.08333,1,"{3116, 3114}"
759,1,146,0,0.1195039,"\int \frac{1}{\left(\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)^3} \, dx","Int[(Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x])^(-3),x]","\frac{2 (b \sinh (x)+c \cosh (x))}{15 \left(b^2-c^2\right) \left(\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)^2}+\frac{b \sinh (x)+c \cosh (x)}{5 \sqrt{b^2-c^2} \left(\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)^3}-\frac{2 \left(\sqrt{b^2-c^2} \sinh (x)+c\right)}{15 c \left(b^2-c^2\right) (b \sinh (x)+c \cosh (x))}","\frac{2 (b \sinh (x)+c \cosh (x))}{15 \left(b^2-c^2\right) \left(\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)^2}+\frac{b \sinh (x)+c \cosh (x)}{5 \sqrt{b^2-c^2} \left(\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)^3}-\frac{2 \left(\sqrt{b^2-c^2} \sinh (x)+c\right)}{15 c \left(b^2-c^2\right) (b \sinh (x)+c \cosh (x))}",1,"(c*Cosh[x] + b*Sinh[x])/(5*Sqrt[b^2 - c^2]*(Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x])^3) + (2*(c*Cosh[x] + b*Sinh[x]))/(15*(b^2 - c^2)*(Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x])^2) - (2*(c + Sqrt[b^2 - c^2]*Sinh[x]))/(15*c*(b^2 - c^2)*(c*Cosh[x] + b*Sinh[x]))","A",3,2,24,0.08333,1,"{3116, 3114}"
760,1,198,0,0.1778554,"\int \frac{1}{\left(\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)^4} \, dx","Int[(Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x])^(-4),x]","\frac{2 (b \sinh (x)+c \cosh (x))}{35 \left(b^2-c^2\right)^{3/2} \left(\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)^2}+\frac{3 (b \sinh (x)+c \cosh (x))}{35 \left(b^2-c^2\right) \left(\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)^3}+\frac{b \sinh (x)+c \cosh (x)}{7 \sqrt{b^2-c^2} \left(\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)^4}-\frac{2 \left(\sqrt{b^2-c^2} \sinh (x)+c\right)}{35 c \left(b^2-c^2\right)^{3/2} (b \sinh (x)+c \cosh (x))}","\frac{2 (b \sinh (x)+c \cosh (x))}{35 \left(b^2-c^2\right)^{3/2} \left(\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)^2}+\frac{3 (b \sinh (x)+c \cosh (x))}{35 \left(b^2-c^2\right) \left(\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)^3}+\frac{b \sinh (x)+c \cosh (x)}{7 \sqrt{b^2-c^2} \left(\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)^4}-\frac{2 \left(\sqrt{b^2-c^2} \sinh (x)+c\right)}{35 c \left(b^2-c^2\right)^{3/2} (b \sinh (x)+c \cosh (x))}",1,"(c*Cosh[x] + b*Sinh[x])/(7*Sqrt[b^2 - c^2]*(Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x])^4) + (3*(c*Cosh[x] + b*Sinh[x]))/(35*(b^2 - c^2)*(Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x])^3) + (2*(c*Cosh[x] + b*Sinh[x]))/(35*(b^2 - c^2)^(3/2)*(Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x])^2) - (2*(c + Sqrt[b^2 - c^2]*Sinh[x]))/(35*c*(b^2 - c^2)^(3/2)*(c*Cosh[x] + b*Sinh[x]))","A",4,2,24,0.08333,1,"{3116, 3114}"
761,1,294,0,0.4828707,"\int (a+b \cosh (x)+c \sinh (x))^{5/2} \, dx","Int[(a + b*Cosh[x] + c*Sinh[x])^(5/2),x]","\frac{16 i a \left(a^2-b^2+c^2\right) \sqrt{\frac{a+b \cosh (x)+c \sinh (x)}{a+\sqrt{b^2-c^2}}} F\left(\frac{1}{2} \left(i x-\tan ^{-1}(b,-i c)\right)|\frac{2 \sqrt{b^2-c^2}}{a+\sqrt{b^2-c^2}}\right)}{15 \sqrt{a+b \cosh (x)+c \sinh (x)}}-\frac{2 i \left(23 a^2+9 b^2-9 c^2\right) \sqrt{a+b \cosh (x)+c \sinh (x)} E\left(\frac{1}{2} \left(i x-\tan ^{-1}(b,-i c)\right)|\frac{2 \sqrt{b^2-c^2}}{a+\sqrt{b^2-c^2}}\right)}{15 \sqrt{\frac{a+b \cosh (x)+c \sinh (x)}{a+\sqrt{b^2-c^2}}}}+\frac{2}{5} (b \sinh (x)+c \cosh (x)) (a+b \cosh (x)+c \sinh (x))^{3/2}+\frac{16}{15} (a b \sinh (x)+a c \cosh (x)) \sqrt{a+b \cosh (x)+c \sinh (x)}","\frac{16 i a \left(a^2-b^2+c^2\right) \sqrt{\frac{a+b \cosh (x)+c \sinh (x)}{a+\sqrt{b^2-c^2}}} F\left(\frac{1}{2} \left(i x-\tan ^{-1}(b,-i c)\right)|\frac{2 \sqrt{b^2-c^2}}{a+\sqrt{b^2-c^2}}\right)}{15 \sqrt{a+b \cosh (x)+c \sinh (x)}}-\frac{2 i \left(23 a^2+9 b^2-9 c^2\right) \sqrt{a+b \cosh (x)+c \sinh (x)} E\left(\frac{1}{2} \left(i x-\tan ^{-1}(b,-i c)\right)|\frac{2 \sqrt{b^2-c^2}}{a+\sqrt{b^2-c^2}}\right)}{15 \sqrt{\frac{a+b \cosh (x)+c \sinh (x)}{a+\sqrt{b^2-c^2}}}}+\frac{2}{5} (b \sinh (x)+c \cosh (x)) (a+b \cosh (x)+c \sinh (x))^{3/2}+\frac{16}{15} (a b \sinh (x)+a c \cosh (x)) \sqrt{a+b \cosh (x)+c \sinh (x)}",1,"(16*(a*c*Cosh[x] + a*b*Sinh[x])*Sqrt[a + b*Cosh[x] + c*Sinh[x]])/15 + (2*(c*Cosh[x] + b*Sinh[x])*(a + b*Cosh[x] + c*Sinh[x])^(3/2))/5 - (((2*I)/15)*(23*a^2 + 9*b^2 - 9*c^2)*EllipticE[(I*x - ArcTan[b, (-I)*c])/2, (2*Sqrt[b^2 - c^2])/(a + Sqrt[b^2 - c^2])]*Sqrt[a + b*Cosh[x] + c*Sinh[x]])/Sqrt[(a + b*Cosh[x] + c*Sinh[x])/(a + Sqrt[b^2 - c^2])] + (((16*I)/15)*a*(a^2 - b^2 + c^2)*EllipticF[(I*x - ArcTan[b, (-I)*c])/2, (2*Sqrt[b^2 - c^2])/(a + Sqrt[b^2 - c^2])]*Sqrt[(a + b*Cosh[x] + c*Sinh[x])/(a + Sqrt[b^2 - c^2])])/Sqrt[a + b*Cosh[x] + c*Sinh[x]]","A",7,7,14,0.5000,1,"{3120, 3146, 3149, 3119, 2653, 3127, 2661}"
762,1,249,0,0.2704636,"\int (a+b \cosh (x)+c \sinh (x))^{3/2} \, dx","Int[(a + b*Cosh[x] + c*Sinh[x])^(3/2),x]","\frac{2 i \left(a^2-b^2+c^2\right) \sqrt{\frac{a+b \cosh (x)+c \sinh (x)}{a+\sqrt{b^2-c^2}}} F\left(\frac{1}{2} \left(i x-\tan ^{-1}(b,-i c)\right)|\frac{2 \sqrt{b^2-c^2}}{a+\sqrt{b^2-c^2}}\right)}{3 \sqrt{a+b \cosh (x)+c \sinh (x)}}-\frac{8 i a \sqrt{a+b \cosh (x)+c \sinh (x)} E\left(\frac{1}{2} \left(i x-\tan ^{-1}(b,-i c)\right)|\frac{2 \sqrt{b^2-c^2}}{a+\sqrt{b^2-c^2}}\right)}{3 \sqrt{\frac{a+b \cosh (x)+c \sinh (x)}{a+\sqrt{b^2-c^2}}}}+\frac{2}{3} (b \sinh (x)+c \cosh (x)) \sqrt{a+b \cosh (x)+c \sinh (x)}","\frac{2 i \left(a^2-b^2+c^2\right) \sqrt{\frac{a+b \cosh (x)+c \sinh (x)}{a+\sqrt{b^2-c^2}}} F\left(\frac{1}{2} \left(i x-\tan ^{-1}(b,-i c)\right)|\frac{2 \sqrt{b^2-c^2}}{a+\sqrt{b^2-c^2}}\right)}{3 \sqrt{a+b \cosh (x)+c \sinh (x)}}-\frac{8 i a \sqrt{a+b \cosh (x)+c \sinh (x)} E\left(\frac{1}{2} \left(i x-\tan ^{-1}(b,-i c)\right)|\frac{2 \sqrt{b^2-c^2}}{a+\sqrt{b^2-c^2}}\right)}{3 \sqrt{\frac{a+b \cosh (x)+c \sinh (x)}{a+\sqrt{b^2-c^2}}}}+\frac{2}{3} (b \sinh (x)+c \cosh (x)) \sqrt{a+b \cosh (x)+c \sinh (x)}",1,"(2*(c*Cosh[x] + b*Sinh[x])*Sqrt[a + b*Cosh[x] + c*Sinh[x]])/3 - (((8*I)/3)*a*EllipticE[(I*x - ArcTan[b, (-I)*c])/2, (2*Sqrt[b^2 - c^2])/(a + Sqrt[b^2 - c^2])]*Sqrt[a + b*Cosh[x] + c*Sinh[x]])/Sqrt[(a + b*Cosh[x] + c*Sinh[x])/(a + Sqrt[b^2 - c^2])] + (((2*I)/3)*(a^2 - b^2 + c^2)*EllipticF[(I*x - ArcTan[b, (-I)*c])/2, (2*Sqrt[b^2 - c^2])/(a + Sqrt[b^2 - c^2])]*Sqrt[(a + b*Cosh[x] + c*Sinh[x])/(a + Sqrt[b^2 - c^2])])/Sqrt[a + b*Cosh[x] + c*Sinh[x]]","A",6,6,14,0.4286,1,"{3120, 3149, 3119, 2653, 3127, 2661}"
763,1,102,0,0.0714839,"\int \sqrt{a+b \cosh (x)+c \sinh (x)} \, dx","Int[Sqrt[a + b*Cosh[x] + c*Sinh[x]],x]","-\frac{2 i \sqrt{a+b \cosh (x)+c \sinh (x)} E\left(\frac{1}{2} \left(i x-\tan ^{-1}(b,-i c)\right)|\frac{2 \sqrt{b^2-c^2}}{a+\sqrt{b^2-c^2}}\right)}{\sqrt{\frac{a+b \cosh (x)+c \sinh (x)}{a+\sqrt{b^2-c^2}}}}","-\frac{2 i \sqrt{a+b \cosh (x)+c \sinh (x)} E\left(\frac{1}{2} \left(i x-\tan ^{-1}(b,-i c)\right)|\frac{2 \sqrt{b^2-c^2}}{a+\sqrt{b^2-c^2}}\right)}{\sqrt{\frac{a+b \cosh (x)+c \sinh (x)}{a+\sqrt{b^2-c^2}}}}",1,"((-2*I)*EllipticE[(I*x - ArcTan[b, (-I)*c])/2, (2*Sqrt[b^2 - c^2])/(a + Sqrt[b^2 - c^2])]*Sqrt[a + b*Cosh[x] + c*Sinh[x]])/Sqrt[(a + b*Cosh[x] + c*Sinh[x])/(a + Sqrt[b^2 - c^2])]","A",2,2,14,0.1429,1,"{3119, 2653}"
764,1,102,0,0.0713375,"\int \frac{1}{\sqrt{a+b \cosh (x)+c \sinh (x)}} \, dx","Int[1/Sqrt[a + b*Cosh[x] + c*Sinh[x]],x]","-\frac{2 i \sqrt{\frac{a+b \cosh (x)+c \sinh (x)}{a+\sqrt{b^2-c^2}}} F\left(\frac{1}{2} \left(i x-\tan ^{-1}(b,-i c)\right)|\frac{2 \sqrt{b^2-c^2}}{a+\sqrt{b^2-c^2}}\right)}{\sqrt{a+b \cosh (x)+c \sinh (x)}}","-\frac{2 i \sqrt{\frac{a+b \cosh (x)+c \sinh (x)}{a+\sqrt{b^2-c^2}}} F\left(\frac{1}{2} \left(i x-\tan ^{-1}(b,-i c)\right)|\frac{2 \sqrt{b^2-c^2}}{a+\sqrt{b^2-c^2}}\right)}{\sqrt{a+b \cosh (x)+c \sinh (x)}}",1,"((-2*I)*EllipticF[(I*x - ArcTan[b, (-I)*c])/2, (2*Sqrt[b^2 - c^2])/(a + Sqrt[b^2 - c^2])]*Sqrt[(a + b*Cosh[x] + c*Sinh[x])/(a + Sqrt[b^2 - c^2])])/Sqrt[a + b*Cosh[x] + c*Sinh[x]]","A",2,2,14,0.1429,1,"{3127, 2661}"
765,1,156,0,0.0979996,"\int \frac{1}{(a+b \cosh (x)+c \sinh (x))^{3/2}} \, dx","Int[(a + b*Cosh[x] + c*Sinh[x])^(-3/2),x]","-\frac{2 (b \sinh (x)+c \cosh (x))}{\left(a^2-b^2+c^2\right) \sqrt{a+b \cosh (x)+c \sinh (x)}}-\frac{2 i \sqrt{a+b \cosh (x)+c \sinh (x)} E\left(\frac{1}{2} \left(i x-\tan ^{-1}(b,-i c)\right)|\frac{2 \sqrt{b^2-c^2}}{a+\sqrt{b^2-c^2}}\right)}{\left(a^2-b^2+c^2\right) \sqrt{\frac{a+b \cosh (x)+c \sinh (x)}{a+\sqrt{b^2-c^2}}}}","-\frac{2 (b \sinh (x)+c \cosh (x))}{\left(a^2-b^2+c^2\right) \sqrt{a+b \cosh (x)+c \sinh (x)}}-\frac{2 i \sqrt{a+b \cosh (x)+c \sinh (x)} E\left(\frac{1}{2} \left(i x-\tan ^{-1}(b,-i c)\right)|\frac{2 \sqrt{b^2-c^2}}{a+\sqrt{b^2-c^2}}\right)}{\left(a^2-b^2+c^2\right) \sqrt{\frac{a+b \cosh (x)+c \sinh (x)}{a+\sqrt{b^2-c^2}}}}",1,"(-2*(c*Cosh[x] + b*Sinh[x]))/((a^2 - b^2 + c^2)*Sqrt[a + b*Cosh[x] + c*Sinh[x]]) - ((2*I)*EllipticE[(I*x - ArcTan[b, (-I)*c])/2, (2*Sqrt[b^2 - c^2])/(a + Sqrt[b^2 - c^2])]*Sqrt[a + b*Cosh[x] + c*Sinh[x]])/((a^2 - b^2 + c^2)*Sqrt[(a + b*Cosh[x] + c*Sinh[x])/(a + Sqrt[b^2 - c^2])])","A",3,3,14,0.2143,1,"{3128, 3119, 2653}"
766,1,322,0,0.340195,"\int \frac{1}{(a+b \cosh (x)+c \sinh (x))^{5/2}} \, dx","Int[(a + b*Cosh[x] + c*Sinh[x])^(-5/2),x]","\frac{2 i \sqrt{\frac{a+b \cosh (x)+c \sinh (x)}{a+\sqrt{b^2-c^2}}} F\left(\frac{1}{2} \left(i x-\tan ^{-1}(b,-i c)\right)|\frac{2 \sqrt{b^2-c^2}}{a+\sqrt{b^2-c^2}}\right)}{3 \left(a^2-b^2+c^2\right) \sqrt{a+b \cosh (x)+c \sinh (x)}}-\frac{8 i a \sqrt{a+b \cosh (x)+c \sinh (x)} E\left(\frac{1}{2} \left(i x-\tan ^{-1}(b,-i c)\right)|\frac{2 \sqrt{b^2-c^2}}{a+\sqrt{b^2-c^2}}\right)}{3 \left(a^2-b^2+c^2\right)^2 \sqrt{\frac{a+b \cosh (x)+c \sinh (x)}{a+\sqrt{b^2-c^2}}}}-\frac{8 (a b \sinh (x)+a c \cosh (x))}{3 \left(a^2-b^2+c^2\right)^2 \sqrt{a+b \cosh (x)+c \sinh (x)}}-\frac{2 (b \sinh (x)+c \cosh (x))}{3 \left(a^2-b^2+c^2\right) (a+b \cosh (x)+c \sinh (x))^{3/2}}","\frac{2 i \sqrt{\frac{a+b \cosh (x)+c \sinh (x)}{a+\sqrt{b^2-c^2}}} F\left(\frac{1}{2} \left(i x-\tan ^{-1}(b,-i c)\right)|\frac{2 \sqrt{b^2-c^2}}{a+\sqrt{b^2-c^2}}\right)}{3 \left(a^2-b^2+c^2\right) \sqrt{a+b \cosh (x)+c \sinh (x)}}-\frac{8 i a \sqrt{a+b \cosh (x)+c \sinh (x)} E\left(\frac{1}{2} \left(i x-\tan ^{-1}(b,-i c)\right)|\frac{2 \sqrt{b^2-c^2}}{a+\sqrt{b^2-c^2}}\right)}{3 \left(a^2-b^2+c^2\right)^2 \sqrt{\frac{a+b \cosh (x)+c \sinh (x)}{a+\sqrt{b^2-c^2}}}}-\frac{8 (a b \sinh (x)+a c \cosh (x))}{3 \left(a^2-b^2+c^2\right)^2 \sqrt{a+b \cosh (x)+c \sinh (x)}}-\frac{2 (b \sinh (x)+c \cosh (x))}{3 \left(a^2-b^2+c^2\right) (a+b \cosh (x)+c \sinh (x))^{3/2}}",1,"(-2*(c*Cosh[x] + b*Sinh[x]))/(3*(a^2 - b^2 + c^2)*(a + b*Cosh[x] + c*Sinh[x])^(3/2)) - (8*(a*c*Cosh[x] + a*b*Sinh[x]))/(3*(a^2 - b^2 + c^2)^2*Sqrt[a + b*Cosh[x] + c*Sinh[x]]) - (((8*I)/3)*a*EllipticE[(I*x - ArcTan[b, (-I)*c])/2, (2*Sqrt[b^2 - c^2])/(a + Sqrt[b^2 - c^2])]*Sqrt[a + b*Cosh[x] + c*Sinh[x]])/((a^2 - b^2 + c^2)^2*Sqrt[(a + b*Cosh[x] + c*Sinh[x])/(a + Sqrt[b^2 - c^2])]) + (((2*I)/3)*EllipticF[(I*x - ArcTan[b, (-I)*c])/2, (2*Sqrt[b^2 - c^2])/(a + Sqrt[b^2 - c^2])]*Sqrt[(a + b*Cosh[x] + c*Sinh[x])/(a + Sqrt[b^2 - c^2])])/((a^2 - b^2 + c^2)*Sqrt[a + b*Cosh[x] + c*Sinh[x]])","A",7,7,14,0.5000,1,"{3129, 3156, 3149, 3119, 2653, 3127, 2661}"
767,1,411,0,0.543733,"\int \frac{1}{(a+b \cosh (x)+c \sinh (x))^{7/2}} \, dx","Int[(a + b*Cosh[x] + c*Sinh[x])^(-7/2),x]","\frac{16 i a \sqrt{\frac{a+b \cosh (x)+c \sinh (x)}{a+\sqrt{b^2-c^2}}} F\left(\frac{1}{2} \left(i x-\tan ^{-1}(b,-i c)\right)|\frac{2 \sqrt{b^2-c^2}}{a+\sqrt{b^2-c^2}}\right)}{15 \left(a^2-b^2+c^2\right)^2 \sqrt{a+b \cosh (x)+c \sinh (x)}}-\frac{2 i \left(23 a^2+9 b^2-9 c^2\right) \sqrt{a+b \cosh (x)+c \sinh (x)} E\left(\frac{1}{2} \left(i x-\tan ^{-1}(b,-i c)\right)|\frac{2 \sqrt{b^2-c^2}}{a+\sqrt{b^2-c^2}}\right)}{15 \left(a^2-b^2+c^2\right)^3 \sqrt{\frac{a+b \cosh (x)+c \sinh (x)}{a+\sqrt{b^2-c^2}}}}-\frac{2 \left(b \sinh (x) \left(23 a^2+9 b^2-9 c^2\right)+c \cosh (x) \left(23 a^2+9 b^2-9 c^2\right)\right)}{15 \left(a^2-b^2+c^2\right)^3 \sqrt{a+b \cosh (x)+c \sinh (x)}}-\frac{16 (a b \sinh (x)+a c \cosh (x))}{15 \left(a^2-b^2+c^2\right)^2 (a+b \cosh (x)+c \sinh (x))^{3/2}}-\frac{2 (b \sinh (x)+c \cosh (x))}{5 \left(a^2-b^2+c^2\right) (a+b \cosh (x)+c \sinh (x))^{5/2}}","\frac{16 i a \sqrt{\frac{a+b \cosh (x)+c \sinh (x)}{a+\sqrt{b^2-c^2}}} F\left(\frac{1}{2} \left(i x-\tan ^{-1}(b,-i c)\right)|\frac{2 \sqrt{b^2-c^2}}{a+\sqrt{b^2-c^2}}\right)}{15 \left(a^2-b^2+c^2\right)^2 \sqrt{a+b \cosh (x)+c \sinh (x)}}-\frac{2 i \left(23 a^2+9 b^2-9 c^2\right) \sqrt{a+b \cosh (x)+c \sinh (x)} E\left(\frac{1}{2} \left(i x-\tan ^{-1}(b,-i c)\right)|\frac{2 \sqrt{b^2-c^2}}{a+\sqrt{b^2-c^2}}\right)}{15 \left(a^2-b^2+c^2\right)^3 \sqrt{\frac{a+b \cosh (x)+c \sinh (x)}{a+\sqrt{b^2-c^2}}}}-\frac{2 \left(b \sinh (x) \left(23 a^2+9 b^2-9 c^2\right)+c \cosh (x) \left(23 a^2+9 b^2-9 c^2\right)\right)}{15 \left(a^2-b^2+c^2\right)^3 \sqrt{a+b \cosh (x)+c \sinh (x)}}-\frac{16 (a b \sinh (x)+a c \cosh (x))}{15 \left(a^2-b^2+c^2\right)^2 (a+b \cosh (x)+c \sinh (x))^{3/2}}-\frac{2 (b \sinh (x)+c \cosh (x))}{5 \left(a^2-b^2+c^2\right) (a+b \cosh (x)+c \sinh (x))^{5/2}}",1,"(-2*(c*Cosh[x] + b*Sinh[x]))/(5*(a^2 - b^2 + c^2)*(a + b*Cosh[x] + c*Sinh[x])^(5/2)) - (16*(a*c*Cosh[x] + a*b*Sinh[x]))/(15*(a^2 - b^2 + c^2)^2*(a + b*Cosh[x] + c*Sinh[x])^(3/2)) - (((2*I)/15)*(23*a^2 + 9*b^2 - 9*c^2)*EllipticE[(I*x - ArcTan[b, (-I)*c])/2, (2*Sqrt[b^2 - c^2])/(a + Sqrt[b^2 - c^2])]*Sqrt[a + b*Cosh[x] + c*Sinh[x]])/((a^2 - b^2 + c^2)^3*Sqrt[(a + b*Cosh[x] + c*Sinh[x])/(a + Sqrt[b^2 - c^2])]) + (((16*I)/15)*a*EllipticF[(I*x - ArcTan[b, (-I)*c])/2, (2*Sqrt[b^2 - c^2])/(a + Sqrt[b^2 - c^2])]*Sqrt[(a + b*Cosh[x] + c*Sinh[x])/(a + Sqrt[b^2 - c^2])])/((a^2 - b^2 + c^2)^2*Sqrt[a + b*Cosh[x] + c*Sinh[x]]) - (2*(c*(23*a^2 + 9*b^2 - 9*c^2)*Cosh[x] + b*(23*a^2 + 9*b^2 - 9*c^2)*Sinh[x]))/(15*(a^2 - b^2 + c^2)^3*Sqrt[a + b*Cosh[x] + c*Sinh[x]])","A",8,7,14,0.5000,1,"{3129, 3156, 3149, 3119, 2653, 3127, 2661}"
768,1,140,0,0.1231727,"\int \left(\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)^{5/2} \, dx","Int[(Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x])^(5/2),x]","\frac{2}{5} (b \sinh (x)+c \cosh (x)) \left(\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)^{3/2}+\frac{16}{15} \sqrt{b^2-c^2} (b \sinh (x)+c \cosh (x)) \sqrt{\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)}+\frac{64 \left(b^2-c^2\right) (b \sinh (x)+c \cosh (x))}{15 \sqrt{\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)}}","\frac{2}{5} (b \sinh (x)+c \cosh (x)) \left(\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)^{3/2}+\frac{16}{15} \sqrt{b^2-c^2} (b \sinh (x)+c \cosh (x)) \sqrt{\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)}+\frac{64 \left(b^2-c^2\right) (b \sinh (x)+c \cosh (x))}{15 \sqrt{\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)}}",1,"(64*(b^2 - c^2)*(c*Cosh[x] + b*Sinh[x]))/(15*Sqrt[Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x]]) + (16*Sqrt[b^2 - c^2]*(c*Cosh[x] + b*Sinh[x])*Sqrt[Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x]])/15 + (2*(c*Cosh[x] + b*Sinh[x])*(Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x])^(3/2))/5","A",3,2,26,0.07692,1,"{3113, 3112}"
769,1,92,0,0.0774329,"\int \left(\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)^{3/2} \, dx","Int[(Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x])^(3/2),x]","\frac{2}{3} \sqrt{\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)} (b \sinh (x)+c \cosh (x))+\frac{8 \sqrt{b^2-c^2} (b \sinh (x)+c \cosh (x))}{3 \sqrt{\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)}}","\frac{2}{3} \sqrt{\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)} (b \sinh (x)+c \cosh (x))+\frac{8 \sqrt{b^2-c^2} (b \sinh (x)+c \cosh (x))}{3 \sqrt{\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)}}",1,"(8*Sqrt[b^2 - c^2]*(c*Cosh[x] + b*Sinh[x]))/(3*Sqrt[Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x]]) + (2*(c*Cosh[x] + b*Sinh[x])*Sqrt[Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x]])/3","A",2,2,26,0.07692,1,"{3113, 3112}"
770,1,37,0,0.0386524,"\int \sqrt{\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)} \, dx","Int[Sqrt[Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x]],x]","\frac{2 (b \sinh (x)+c \cosh (x))}{\sqrt{\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)}}","\frac{2 (b \sinh (x)+c \cosh (x))}{\sqrt{\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)}}",1,"(2*(c*Cosh[x] + b*Sinh[x]))/Sqrt[Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x]]","A",1,1,26,0.03846,1,"{3112}"
771,1,99,0,0.1126318,"\int \frac{1}{\sqrt{\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)}} \, dx","Int[1/Sqrt[Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x]],x]","\frac{\sqrt{2} \tan ^{-1}\left(\frac{\sqrt[4]{b^2-c^2} \sinh \left(x+i \tan ^{-1}(b,-i c)\right)}{\sqrt{2} \sqrt{\sqrt{b^2-c^2}+\sqrt{b^2-c^2} \cosh \left(x+i \tan ^{-1}(b,-i c)\right)}}\right)}{\sqrt[4]{b^2-c^2}}","\frac{\sqrt{2} \tan ^{-1}\left(\frac{\sqrt[4]{b^2-c^2} \sinh \left(x+i \tan ^{-1}(b,-i c)\right)}{\sqrt{2} \sqrt{\sqrt{b^2-c^2}+\sqrt{b^2-c^2} \cosh \left(x+i \tan ^{-1}(b,-i c)\right)}}\right)}{\sqrt[4]{b^2-c^2}}",1,"(Sqrt[2]*ArcTan[((b^2 - c^2)^(1/4)*Sinh[x + I*ArcTan[b, (-I)*c]])/(Sqrt[2]*Sqrt[Sqrt[b^2 - c^2] + Sqrt[b^2 - c^2]*Cosh[x + I*ArcTan[b, (-I)*c]]])])/(b^2 - c^2)^(1/4)","A",3,3,26,0.1154,1,"{3115, 2649, 206}"
772,1,155,0,0.1320542,"\int \frac{1}{\left(\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)^{3/2}} \, dx","Int[(Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x])^(-3/2),x]","\frac{b \sinh (x)+c \cosh (x)}{2 \sqrt{b^2-c^2} \left(\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)^{3/2}}+\frac{\tan ^{-1}\left(\frac{\sqrt[4]{b^2-c^2} \sinh \left(x+i \tan ^{-1}(b,-i c)\right)}{\sqrt{2} \sqrt{\sqrt{b^2-c^2}+\sqrt{b^2-c^2} \cosh \left(x+i \tan ^{-1}(b,-i c)\right)}}\right)}{2 \sqrt{2} \left(b^2-c^2\right)^{3/4}}","\frac{b \sinh (x)+c \cosh (x)}{2 \sqrt{b^2-c^2} \left(\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)^{3/2}}+\frac{\tan ^{-1}\left(\frac{\sqrt[4]{b^2-c^2} \sinh \left(x+i \tan ^{-1}(b,-i c)\right)}{\sqrt{2} \sqrt{\sqrt{b^2-c^2}+\sqrt{b^2-c^2} \cosh \left(x+i \tan ^{-1}(b,-i c)\right)}}\right)}{2 \sqrt{2} \left(b^2-c^2\right)^{3/4}}",1,"ArcTan[((b^2 - c^2)^(1/4)*Sinh[x + I*ArcTan[b, (-I)*c]])/(Sqrt[2]*Sqrt[Sqrt[b^2 - c^2] + Sqrt[b^2 - c^2]*Cosh[x + I*ArcTan[b, (-I)*c]]])]/(2*Sqrt[2]*(b^2 - c^2)^(3/4)) + (c*Cosh[x] + b*Sinh[x])/(2*Sqrt[b^2 - c^2]*(Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x])^(3/2))","A",4,4,26,0.1538,1,"{3116, 3115, 2649, 206}"
773,1,205,0,0.1757533,"\int \frac{1}{\left(\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)^{5/2}} \, dx","Int[(Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x])^(-5/2),x]","\frac{3 \tan ^{-1}\left(\frac{\sqrt[4]{b^2-c^2} \sinh \left(x+i \tan ^{-1}(b,-i c)\right)}{\sqrt{2} \sqrt{\sqrt{b^2-c^2}+\sqrt{b^2-c^2} \cosh \left(x+i \tan ^{-1}(b,-i c)\right)}}\right)}{16 \sqrt{2} \left(b^2-c^2\right)^{5/4}}+\frac{3 (b \sinh (x)+c \cosh (x))}{16 \left(b^2-c^2\right) \left(\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)^{3/2}}+\frac{b \sinh (x)+c \cosh (x)}{4 \sqrt{b^2-c^2} \left(\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)^{5/2}}","\frac{3 \tan ^{-1}\left(\frac{\sqrt[4]{b^2-c^2} \sinh \left(x+i \tan ^{-1}(b,-i c)\right)}{\sqrt{2} \sqrt{\sqrt{b^2-c^2}+\sqrt{b^2-c^2} \cosh \left(x+i \tan ^{-1}(b,-i c)\right)}}\right)}{16 \sqrt{2} \left(b^2-c^2\right)^{5/4}}+\frac{3 (b \sinh (x)+c \cosh (x))}{16 \left(b^2-c^2\right) \left(\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)^{3/2}}+\frac{b \sinh (x)+c \cosh (x)}{4 \sqrt{b^2-c^2} \left(\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)^{5/2}}",1,"(3*ArcTan[((b^2 - c^2)^(1/4)*Sinh[x + I*ArcTan[b, (-I)*c]])/(Sqrt[2]*Sqrt[Sqrt[b^2 - c^2] + Sqrt[b^2 - c^2]*Cosh[x + I*ArcTan[b, (-I)*c]]])])/(16*Sqrt[2]*(b^2 - c^2)^(5/4)) + (c*Cosh[x] + b*Sinh[x])/(4*Sqrt[b^2 - c^2]*(Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x])^(5/2)) + (3*(c*Cosh[x] + b*Sinh[x]))/(16*(b^2 - c^2)*(Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x])^(3/2))","A",5,4,26,0.1538,1,"{3116, 3115, 2649, 206}"
774,1,146,0,0.1224411,"\int \left(-\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)^{5/2} \, dx","Int[(-Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x])^(5/2),x]","\frac{2}{5} (b \sinh (x)+c \cosh (x)) \left(-\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)^{3/2}-\frac{16}{15} \sqrt{b^2-c^2} (b \sinh (x)+c \cosh (x)) \sqrt{-\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)}+\frac{64 \left(b^2-c^2\right) (b \sinh (x)+c \cosh (x))}{15 \sqrt{-\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)}}","\frac{2}{5} (b \sinh (x)+c \cosh (x)) \left(-\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)^{3/2}-\frac{16}{15} \sqrt{b^2-c^2} (b \sinh (x)+c \cosh (x)) \sqrt{-\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)}+\frac{64 \left(b^2-c^2\right) (b \sinh (x)+c \cosh (x))}{15 \sqrt{-\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)}}",1,"(64*(b^2 - c^2)*(c*Cosh[x] + b*Sinh[x]))/(15*Sqrt[-Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x]]) - (16*Sqrt[b^2 - c^2]*(c*Cosh[x] + b*Sinh[x])*Sqrt[-Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x]])/15 + (2*(c*Cosh[x] + b*Sinh[x])*(-Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x])^(3/2))/5","A",3,2,28,0.07143,1,"{3113, 3112}"
775,1,96,0,0.0787381,"\int \left(-\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)^{3/2} \, dx","Int[(-Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x])^(3/2),x]","\frac{2}{3} (b \sinh (x)+c \cosh (x)) \sqrt{-\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)}-\frac{8 \sqrt{b^2-c^2} (b \sinh (x)+c \cosh (x))}{3 \sqrt{-\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)}}","\frac{2}{3} (b \sinh (x)+c \cosh (x)) \sqrt{-\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)}-\frac{8 \sqrt{b^2-c^2} (b \sinh (x)+c \cosh (x))}{3 \sqrt{-\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)}}",1,"(-8*Sqrt[b^2 - c^2]*(c*Cosh[x] + b*Sinh[x]))/(3*Sqrt[-Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x]]) + (2*(c*Cosh[x] + b*Sinh[x])*Sqrt[-Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x]])/3","A",2,2,28,0.07143,1,"{3113, 3112}"
776,1,39,0,0.036615,"\int \sqrt{-\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)} \, dx","Int[Sqrt[-Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x]],x]","\frac{2 (b \sinh (x)+c \cosh (x))}{\sqrt{-\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)}}","\frac{2 (b \sinh (x)+c \cosh (x))}{\sqrt{-\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)}}",1,"(2*(c*Cosh[x] + b*Sinh[x]))/Sqrt[-Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x]]","A",1,1,28,0.03571,1,"{3112}"
777,1,102,0,0.0938029,"\int \frac{1}{\sqrt{-\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)}} \, dx","Int[1/Sqrt[-Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x]],x]","-\frac{\sqrt{2} \tanh ^{-1}\left(\frac{\sqrt[4]{b^2-c^2} \sinh \left(x+i \tan ^{-1}(b,-i c)\right)}{\sqrt{2} \sqrt{-\sqrt{b^2-c^2}+\sqrt{b^2-c^2} \cosh \left(x+i \tan ^{-1}(b,-i c)\right)}}\right)}{\sqrt[4]{b^2-c^2}}","-\frac{\sqrt{2} \tanh ^{-1}\left(\frac{\sqrt[4]{b^2-c^2} \sinh \left(x+i \tan ^{-1}(b,-i c)\right)}{\sqrt{2} \sqrt{-\sqrt{b^2-c^2}+\sqrt{b^2-c^2} \cosh \left(x+i \tan ^{-1}(b,-i c)\right)}}\right)}{\sqrt[4]{b^2-c^2}}",1,"-((Sqrt[2]*ArcTanh[((b^2 - c^2)^(1/4)*Sinh[x + I*ArcTan[b, (-I)*c]])/(Sqrt[2]*Sqrt[-Sqrt[b^2 - c^2] + Sqrt[b^2 - c^2]*Cosh[x + I*ArcTan[b, (-I)*c]]])])/(b^2 - c^2)^(1/4))","A",3,3,28,0.1071,1,"{3115, 2649, 204}"
778,1,159,0,0.12143,"\int \frac{1}{\left(-\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)^{3/2}} \, dx","Int[(-Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x])^(-3/2),x]","-\frac{b \sinh (x)+c \cosh (x)}{2 \sqrt{b^2-c^2} \left(-\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)^{3/2}}+\frac{\tanh ^{-1}\left(\frac{\sqrt[4]{b^2-c^2} \sinh \left(x+i \tan ^{-1}(b,-i c)\right)}{\sqrt{2} \sqrt{-\sqrt{b^2-c^2}+\sqrt{b^2-c^2} \cosh \left(x+i \tan ^{-1}(b,-i c)\right)}}\right)}{2 \sqrt{2} \left(b^2-c^2\right)^{3/4}}","-\frac{b \sinh (x)+c \cosh (x)}{2 \sqrt{b^2-c^2} \left(-\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)^{3/2}}+\frac{\tanh ^{-1}\left(\frac{\sqrt[4]{b^2-c^2} \sinh \left(x+i \tan ^{-1}(b,-i c)\right)}{\sqrt{2} \sqrt{-\sqrt{b^2-c^2}+\sqrt{b^2-c^2} \cosh \left(x+i \tan ^{-1}(b,-i c)\right)}}\right)}{2 \sqrt{2} \left(b^2-c^2\right)^{3/4}}",1,"ArcTanh[((b^2 - c^2)^(1/4)*Sinh[x + I*ArcTan[b, (-I)*c]])/(Sqrt[2]*Sqrt[-Sqrt[b^2 - c^2] + Sqrt[b^2 - c^2]*Cosh[x + I*ArcTan[b, (-I)*c]]])]/(2*Sqrt[2]*(b^2 - c^2)^(3/4)) - (c*Cosh[x] + b*Sinh[x])/(2*Sqrt[b^2 - c^2]*(-Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x])^(3/2))","A",4,4,28,0.1429,1,"{3116, 3115, 2649, 204}"
779,1,211,0,0.1667333,"\int \frac{1}{\left(-\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)^{5/2}} \, dx","Int[(-Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x])^(-5/2),x]","-\frac{3 \tanh ^{-1}\left(\frac{\sqrt[4]{b^2-c^2} \sinh \left(x+i \tan ^{-1}(b,-i c)\right)}{\sqrt{2} \sqrt{-\sqrt{b^2-c^2}+\sqrt{b^2-c^2} \cosh \left(x+i \tan ^{-1}(b,-i c)\right)}}\right)}{16 \sqrt{2} \left(b^2-c^2\right)^{5/4}}+\frac{3 (b \sinh (x)+c \cosh (x))}{16 \left(b^2-c^2\right) \left(-\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)^{3/2}}-\frac{b \sinh (x)+c \cosh (x)}{4 \sqrt{b^2-c^2} \left(-\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)^{5/2}}","-\frac{3 \tanh ^{-1}\left(\frac{\sqrt[4]{b^2-c^2} \sinh \left(x+i \tan ^{-1}(b,-i c)\right)}{\sqrt{2} \sqrt{-\sqrt{b^2-c^2}+\sqrt{b^2-c^2} \cosh \left(x+i \tan ^{-1}(b,-i c)\right)}}\right)}{16 \sqrt{2} \left(b^2-c^2\right)^{5/4}}+\frac{3 (b \sinh (x)+c \cosh (x))}{16 \left(b^2-c^2\right) \left(-\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)^{3/2}}-\frac{b \sinh (x)+c \cosh (x)}{4 \sqrt{b^2-c^2} \left(-\sqrt{b^2-c^2}+b \cosh (x)+c \sinh (x)\right)^{5/2}}",1,"(-3*ArcTanh[((b^2 - c^2)^(1/4)*Sinh[x + I*ArcTan[b, (-I)*c]])/(Sqrt[2]*Sqrt[-Sqrt[b^2 - c^2] + Sqrt[b^2 - c^2]*Cosh[x + I*ArcTan[b, (-I)*c]]])])/(16*Sqrt[2]*(b^2 - c^2)^(5/4)) - (c*Cosh[x] + b*Sinh[x])/(4*Sqrt[b^2 - c^2]*(-Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x])^(5/2)) + (3*(c*Cosh[x] + b*Sinh[x]))/(16*(b^2 - c^2)*(-Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x])^(3/2))","A",5,4,28,0.1429,1,"{3116, 3115, 2649, 204}"
780,1,107,0,0.1368642,"\int \frac{1}{a+c \text{sech}(x)+b \tanh (x)} \, dx","Int[(a + c*Sech[x] + b*Tanh[x])^(-1),x]","-\frac{2 a c \tan ^{-1}\left(\frac{(a-c) \tanh \left(\frac{x}{2}\right)+b}{\sqrt{a^2-b^2-c^2}}\right)}{\left(a^2-b^2\right) \sqrt{a^2-b^2-c^2}}-\frac{b \log (a \cosh (x)+b \sinh (x)+c)}{a^2-b^2}+\frac{a x}{a^2-b^2}","-\frac{2 a c \tan ^{-1}\left(\frac{(a-c) \tanh \left(\frac{x}{2}\right)+b}{\sqrt{a^2-b^2-c^2}}\right)}{\left(a^2-b^2\right) \sqrt{a^2-b^2-c^2}}-\frac{b \log (a \cosh (x)+b \sinh (x)+c)}{a^2-b^2}+\frac{a x}{a^2-b^2}",1,"(a*x)/(a^2 - b^2) - (2*a*c*ArcTan[(b + (a - c)*Tanh[x/2])/Sqrt[a^2 - b^2 - c^2]])/((a^2 - b^2)*Sqrt[a^2 - b^2 - c^2]) - (b*Log[c + a*Cosh[x] + b*Sinh[x]])/(a^2 - b^2)","A",5,5,12,0.4167,1,"{3159, 3138, 3124, 618, 204}"
781,1,113,0,0.1564733,"\int \frac{1}{a+b \coth (x)+c \text{csch}(x)} \, dx","Int[(a + b*Coth[x] + c*Csch[x])^(-1),x]","\frac{2 a c \tanh ^{-1}\left(\frac{a+(b-c) \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2-b^2+c^2}}\right)}{\left(a^2-b^2\right) \sqrt{a^2-b^2+c^2}}-\frac{b \log (i a \sinh (x)+i b \cosh (x)+i c)}{a^2-b^2}+\frac{a x}{a^2-b^2}","\frac{2 a c \tanh ^{-1}\left(\frac{a+(b-c) \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2-b^2+c^2}}\right)}{\left(a^2-b^2\right) \sqrt{a^2-b^2+c^2}}-\frac{b \log (i a \sinh (x)+i b \cosh (x)+i c)}{a^2-b^2}+\frac{a x}{a^2-b^2}",1,"(a*x)/(a^2 - b^2) + (2*a*c*ArcTanh[(a + (b - c)*Tanh[x/2])/Sqrt[a^2 - b^2 + c^2]])/((a^2 - b^2)*Sqrt[a^2 - b^2 + c^2]) - (b*Log[I*c + I*b*Cosh[x] + I*a*Sinh[x]])/(a^2 - b^2)","A",5,5,12,0.4167,1,"{3160, 3137, 3124, 618, 204}"
782,1,104,0,0.1147309,"\int \frac{\sinh (x)}{a+b \cosh (x)+c \sinh (x)} \, dx","Int[Sinh[x]/(a + b*Cosh[x] + c*Sinh[x]),x]","-\frac{2 a c \tanh ^{-1}\left(\frac{c-(a-b) \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2-b^2+c^2}}\right)}{\left(b^2-c^2\right) \sqrt{a^2-b^2+c^2}}+\frac{b \log (a+b \cosh (x)+c \sinh (x))}{b^2-c^2}-\frac{c x}{b^2-c^2}","-\frac{2 a c \tanh ^{-1}\left(\frac{c-(a-b) \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2-b^2+c^2}}\right)}{\left(b^2-c^2\right) \sqrt{a^2-b^2+c^2}}+\frac{b \log (a+b \cosh (x)+c \sinh (x))}{b^2-c^2}-\frac{c x}{b^2-c^2}",1,"-((c*x)/(b^2 - c^2)) - (2*a*c*ArcTanh[(c - (a - b)*Tanh[x/2])/Sqrt[a^2 - b^2 + c^2]])/((b^2 - c^2)*Sqrt[a^2 - b^2 + c^2]) + (b*Log[a + b*Cosh[x] + c*Sinh[x]])/(b^2 - c^2)","A",4,4,15,0.2667,1,"{3137, 3124, 618, 206}"
783,1,18,0,0.0253834,"\int \frac{\sinh (x)}{1+\cosh (x)+\sinh (x)} \, dx","Int[Sinh[x]/(1 + Cosh[x] + Sinh[x]),x]","\frac{x}{2}-\frac{\sinh (x)}{2}+\frac{\cosh (x)}{2}","\frac{x}{2}-\frac{\sinh (x)}{2}+\frac{\cosh (x)}{2}",1,"x/2 + Cosh[x]/2 - Sinh[x]/2","A",1,1,11,0.09091,1,"{3131}"
784,1,54,0,0.0817428,"\int \frac{\text{sech}(x)}{a+c \text{sech}(x)+b \tanh (x)} \, dx","Int[Sech[x]/(a + c*Sech[x] + b*Tanh[x]),x]","\frac{2 \tan ^{-1}\left(\frac{(a-c) \tanh \left(\frac{x}{2}\right)+b}{\sqrt{a^2-b^2-c^2}}\right)}{\sqrt{a^2-b^2-c^2}}","\frac{2 \tan ^{-1}\left(\frac{(a-c) \tanh \left(\frac{x}{2}\right)+b}{\sqrt{a^2-b^2-c^2}}\right)}{\sqrt{a^2-b^2-c^2}}",1,"(2*ArcTan[(b + (a - c)*Tanh[x/2])/Sqrt[a^2 - b^2 - c^2]])/Sqrt[a^2 - b^2 - c^2]","A",4,4,15,0.2667,1,"{3165, 3124, 618, 204}"
785,1,146,0,0.4812877,"\int \frac{\text{sech}^2(x)}{a+c \text{sech}(x)+b \tanh (x)} \, dx","Int[Sech[x]^2/(a + c*Sech[x] + b*Tanh[x]),x]","-\frac{2 a c \tan ^{-1}\left(\frac{(a-c) \tanh \left(\frac{x}{2}\right)+b}{\sqrt{a^2-b^2-c^2}}\right)}{\left(b^2+c^2\right) \sqrt{a^2-b^2-c^2}}+\frac{b \log \left((a-c) \tanh ^2\left(\frac{x}{2}\right)+a+2 b \tanh \left(\frac{x}{2}\right)+c\right)}{b^2+c^2}-\frac{b \log \left(\tanh ^2\left(\frac{x}{2}\right)+1\right)}{b^2+c^2}+\frac{2 c \tan ^{-1}\left(\tanh \left(\frac{x}{2}\right)\right)}{b^2+c^2}","-\frac{2 a c \tan ^{-1}\left(\frac{(a-c) \tanh \left(\frac{x}{2}\right)+b}{\sqrt{a^2-b^2-c^2}}\right)}{\left(b^2+c^2\right) \sqrt{a^2-b^2-c^2}}+\frac{b \log \left((a-c) \tanh ^2\left(\frac{x}{2}\right)+a+2 b \tanh \left(\frac{x}{2}\right)+c\right)}{b^2+c^2}-\frac{b \log \left(\tanh ^2\left(\frac{x}{2}\right)+1\right)}{b^2+c^2}+\frac{2 c \tan ^{-1}\left(\tanh \left(\frac{x}{2}\right)\right)}{b^2+c^2}",1,"(2*c*ArcTan[Tanh[x/2]])/(b^2 + c^2) - (2*a*c*ArcTan[(b + (a - c)*Tanh[x/2])/Sqrt[a^2 - b^2 - c^2]])/(Sqrt[a^2 - b^2 - c^2]*(b^2 + c^2)) - (b*Log[1 + Tanh[x/2]^2])/(b^2 + c^2) + (b*Log[a + c + 2*b*Tanh[x/2] + (a - c)*Tanh[x/2]^2])/(b^2 + c^2)","A",10,9,17,0.5294,1,"{4397, 1075, 634, 618, 204, 628, 635, 203, 260}"
786,1,19,0,0.0502114,"\int \frac{\text{csch}(x)}{2+2 \coth (x)+3 \text{csch}(x)} \, dx","Int[Csch[x]/(2 + 2*Coth[x] + 3*Csch[x]),x]","-\frac{2}{3} \tanh ^{-1}\left(\frac{1}{3} \left(2-\tanh \left(\frac{x}{2}\right)\right)\right)","-\frac{2}{3} \tanh ^{-1}\left(\frac{1}{3} \left(2-\tanh \left(\frac{x}{2}\right)\right)\right)",1,"(-2*ArcTanh[(2 - Tanh[x/2])/3])/3","A",4,4,15,0.2667,1,"{3166, 3124, 618, 204}"
787,1,50,0,0.0900589,"\int \frac{\text{csch}(x)}{a+b \coth (x)+c \text{csch}(x)} \, dx","Int[Csch[x]/(a + b*Coth[x] + c*Csch[x]),x]","-\frac{2 \tanh ^{-1}\left(\frac{a+(b-c) \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2-b^2+c^2}}\right)}{\sqrt{a^2-b^2+c^2}}","-\frac{2 \tanh ^{-1}\left(\frac{a+(b-c) \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2-b^2+c^2}}\right)}{\sqrt{a^2-b^2+c^2}}",1,"(-2*ArcTanh[(a + (b - c)*Tanh[x/2])/Sqrt[a^2 - b^2 + c^2]])/Sqrt[a^2 - b^2 + c^2]","A",4,4,15,0.2667,1,"{3166, 3124, 618, 204}"
788,1,118,0,0.5843071,"\int \frac{\text{csch}^2(x)}{a+b \coth (x)+c \text{csch}(x)} \, dx","Int[Csch[x]^2/(a + b*Coth[x] + c*Csch[x]),x]","-\frac{2 a c \tanh ^{-1}\left(\frac{a+(b-c) \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2-b^2+c^2}}\right)}{\left(b^2-c^2\right) \sqrt{a^2-b^2+c^2}}-\frac{b \log \left(2 a \tanh \left(\frac{x}{2}\right)+(b-c) \tanh ^2\left(\frac{x}{2}\right)+b+c\right)}{b^2-c^2}+\frac{\log \left(\tanh \left(\frac{x}{2}\right)\right)}{b+c}","-\frac{2 a c \tanh ^{-1}\left(\frac{a+(b-c) \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2-b^2+c^2}}\right)}{\left(b^2-c^2\right) \sqrt{a^2-b^2+c^2}}-\frac{b \log \left(2 a \tanh \left(\frac{x}{2}\right)+(b-c) \tanh ^2\left(\frac{x}{2}\right)+b+c\right)}{b^2-c^2}+\frac{\log \left(\tanh \left(\frac{x}{2}\right)\right)}{b+c}",1,"(-2*a*c*ArcTanh[(a + (b - c)*Tanh[x/2])/Sqrt[a^2 - b^2 + c^2]])/((b^2 - c^2)*Sqrt[a^2 - b^2 + c^2]) + Log[Tanh[x/2]]/(b + c) - (b*Log[b + c + 2*a*Tanh[x/2] + (b - c)*Tanh[x/2]^2])/(b^2 - c^2)","A",9,7,17,0.4118,1,"{4397, 12, 1628, 634, 618, 206, 628}"
789,1,120,0,0.11779,"\int \frac{A+C \sinh (x)}{a+b \cosh (x)+c \sinh (x)} \, dx","Int[(A + C*Sinh[x])/(a + b*Cosh[x] + c*Sinh[x]),x]","-\frac{2 \left(a c C+A \left(b^2-c^2\right)\right) \tanh ^{-1}\left(\frac{c-(a-b) \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2-b^2+c^2}}\right)}{\left(b^2-c^2\right) \sqrt{a^2-b^2+c^2}}+\frac{b C \log (a+b \cosh (x)+c \sinh (x))}{b^2-c^2}-\frac{c C x}{b^2-c^2}","-\frac{2 \left(a c C+A \left(b^2-c^2\right)\right) \tanh ^{-1}\left(\frac{c-(a-b) \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2-b^2+c^2}}\right)}{\left(b^2-c^2\right) \sqrt{a^2-b^2+c^2}}+\frac{b C \log (a+b \cosh (x)+c \sinh (x))}{b^2-c^2}-\frac{c C x}{b^2-c^2}",1,"-((c*C*x)/(b^2 - c^2)) - (2*(A*(b^2 - c^2) + a*c*C)*ArcTanh[(c - (a - b)*Tanh[x/2])/Sqrt[a^2 - b^2 + c^2]])/((b^2 - c^2)*Sqrt[a^2 - b^2 + c^2]) + (b*C*Log[a + b*Cosh[x] + c*Sinh[x]])/(b^2 - c^2)","A",4,4,19,0.2105,1,"{3137, 3124, 618, 206}"
790,1,108,0,0.1155558,"\int \frac{A+C \sinh (x)}{(a+b \cosh (x)+c \sinh (x))^2} \, dx","Int[(A + C*Sinh[x])/(a + b*Cosh[x] + c*Sinh[x])^2,x]","\frac{-\cosh (x) (A c-a C)-A b \sinh (x)+b C}{\left(a^2-b^2+c^2\right) (a+b \cosh (x)+c \sinh (x))}-\frac{2 (a A+c C) \tanh ^{-1}\left(\frac{c-(a-b) \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2-b^2+c^2}}\right)}{\left(a^2-b^2+c^2\right)^{3/2}}","\frac{-\cosh (x) (A c-a C)-A b \sinh (x)+b C}{\left(a^2-b^2+c^2\right) (a+b \cosh (x)+c \sinh (x))}-\frac{2 (a A+c C) \tanh ^{-1}\left(\frac{c-(a-b) \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2-b^2+c^2}}\right)}{\left(a^2-b^2+c^2\right)^{3/2}}",1,"(-2*(a*A + c*C)*ArcTanh[(c - (a - b)*Tanh[x/2])/Sqrt[a^2 - b^2 + c^2]])/(a^2 - b^2 + c^2)^(3/2) + (b*C - (A*c - a*C)*Cosh[x] - A*b*Sinh[x])/((a^2 - b^2 + c^2)*(a + b*Cosh[x] + c*Sinh[x]))","A",4,4,19,0.2105,1,"{3154, 3124, 618, 206}"
791,1,198,0,0.2913433,"\int \frac{A+C \sinh (x)}{(a+b \cosh (x)+c \sinh (x))^3} \, dx","Int[(A + C*Sinh[x])/(a + b*Cosh[x] + c*Sinh[x])^3,x]","-\frac{\left(2 a^2 A+3 a c C+A \left(b^2-c^2\right)\right) \tanh ^{-1}\left(\frac{c-(a-b) \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2-b^2+c^2}}\right)}{\left(a^2-b^2+c^2\right)^{5/2}}+\frac{-\cosh (x) \left(a^2 (-C)+3 a A c+2 c^2 C\right)-b \sinh (x) (3 a A+2 c C)+a b C}{2 \left(a^2-b^2+c^2\right)^2 (a+b \cosh (x)+c \sinh (x))}+\frac{-\cosh (x) (A c-a C)-A b \sinh (x)+b C}{2 \left(a^2-b^2+c^2\right) (a+b \cosh (x)+c \sinh (x))^2}","-\frac{\left(2 a^2 A+3 a c C+A \left(b^2-c^2\right)\right) \tanh ^{-1}\left(\frac{c-(a-b) \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2-b^2+c^2}}\right)}{\left(a^2-b^2+c^2\right)^{5/2}}+\frac{-\cosh (x) \left(a^2 (-C)+3 a A c+2 c^2 C\right)-b \sinh (x) (3 a A+2 c C)+a b C}{2 \left(a^2-b^2+c^2\right)^2 (a+b \cosh (x)+c \sinh (x))}+\frac{-\cosh (x) (A c-a C)-A b \sinh (x)+b C}{2 \left(a^2-b^2+c^2\right) (a+b \cosh (x)+c \sinh (x))^2}",1,"-(((2*a^2*A + A*(b^2 - c^2) + 3*a*c*C)*ArcTanh[(c - (a - b)*Tanh[x/2])/Sqrt[a^2 - b^2 + c^2]])/(a^2 - b^2 + c^2)^(5/2)) + (b*C - (A*c - a*C)*Cosh[x] - A*b*Sinh[x])/(2*(a^2 - b^2 + c^2)*(a + b*Cosh[x] + c*Sinh[x])^2) + (a*b*C - (3*a*A*c - a^2*C + 2*c^2*C)*Cosh[x] - b*(3*a*A + 2*c*C)*Sinh[x])/(2*(a^2 - b^2 + c^2)^2*(a + b*Cosh[x] + c*Sinh[x]))","A",5,5,19,0.2632,1,"{3157, 3153, 3124, 618, 206}"
792,1,121,0,0.1178999,"\int \frac{A+B \cosh (x)}{a+b \cosh (x)+c \sinh (x)} \, dx","Int[(A + B*Cosh[x])/(a + b*Cosh[x] + c*Sinh[x]),x]","\frac{2 \left(a b B-A \left(b^2-c^2\right)\right) \tanh ^{-1}\left(\frac{c-(a-b) \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2-b^2+c^2}}\right)}{\left(b^2-c^2\right) \sqrt{a^2-b^2+c^2}}-\frac{B c \log (a+b \cosh (x)+c \sinh (x))}{b^2-c^2}+\frac{b B x}{b^2-c^2}","\frac{2 \left(a b B-A \left(b^2-c^2\right)\right) \tanh ^{-1}\left(\frac{c-(a-b) \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2-b^2+c^2}}\right)}{\left(b^2-c^2\right) \sqrt{a^2-b^2+c^2}}-\frac{B c \log (a+b \cosh (x)+c \sinh (x))}{b^2-c^2}+\frac{b B x}{b^2-c^2}",1,"(b*B*x)/(b^2 - c^2) + (2*(a*b*B - A*(b^2 - c^2))*ArcTanh[(c - (a - b)*Tanh[x/2])/Sqrt[a^2 - b^2 + c^2]])/((b^2 - c^2)*Sqrt[a^2 - b^2 + c^2]) - (B*c*Log[a + b*Cosh[x] + c*Sinh[x]])/(b^2 - c^2)","A",4,4,19,0.2105,1,"{3138, 3124, 618, 206}"
793,1,108,0,0.1282811,"\int \frac{A+B \cosh (x)}{(a+b \cosh (x)+c \sinh (x))^2} \, dx","Int[(A + B*Cosh[x])/(a + b*Cosh[x] + c*Sinh[x])^2,x]","-\frac{2 (a A-b B) \tanh ^{-1}\left(\frac{c-(a-b) \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2-b^2+c^2}}\right)}{\left(a^2-b^2+c^2\right)^{3/2}}-\frac{\sinh (x) (A b-a B)+A c \cosh (x)+B c}{\left(a^2-b^2+c^2\right) (a+b \cosh (x)+c \sinh (x))}","-\frac{2 (a A-b B) \tanh ^{-1}\left(\frac{c-(a-b) \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2-b^2+c^2}}\right)}{\left(a^2-b^2+c^2\right)^{3/2}}-\frac{\sinh (x) (A b-a B)+A c \cosh (x)+B c}{\left(a^2-b^2+c^2\right) (a+b \cosh (x)+c \sinh (x))}",1,"(-2*(a*A - b*B)*ArcTanh[(c - (a - b)*Tanh[x/2])/Sqrt[a^2 - b^2 + c^2]])/(a^2 - b^2 + c^2)^(3/2) - (B*c + A*c*Cosh[x] + (A*b - a*B)*Sinh[x])/((a^2 - b^2 + c^2)*(a + b*Cosh[x] + c*Sinh[x]))","A",4,4,19,0.2105,1,"{3155, 3124, 618, 206}"
794,1,194,0,0.2760045,"\int \frac{A+B \cosh (x)}{(a+b \cosh (x)+c \sinh (x))^3} \, dx","Int[(A + B*Cosh[x])/(a + b*Cosh[x] + c*Sinh[x])^3,x]","-\frac{\left(2 a^2 A-3 a b B+A \left(b^2-c^2\right)\right) \tanh ^{-1}\left(\frac{c-(a-b) \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2-b^2+c^2}}\right)}{\left(a^2-b^2+c^2\right)^{5/2}}-\frac{\sinh (x) \left(a^2 (-B)+3 a A b-2 b^2 B\right)+c \cosh (x) (3 a A-2 b B)+a B c}{2 \left(a^2-b^2+c^2\right)^2 (a+b \cosh (x)+c \sinh (x))}-\frac{\sinh (x) (A b-a B)+A c \cosh (x)+B c}{2 \left(a^2-b^2+c^2\right) (a+b \cosh (x)+c \sinh (x))^2}","-\frac{\left(2 a^2 A-3 a b B+A \left(b^2-c^2\right)\right) \tanh ^{-1}\left(\frac{c-(a-b) \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2-b^2+c^2}}\right)}{\left(a^2-b^2+c^2\right)^{5/2}}-\frac{\sinh (x) \left(a^2 (-B)+3 a A b-2 b^2 B\right)+c \cosh (x) (3 a A-2 b B)+a B c}{2 \left(a^2-b^2+c^2\right)^2 (a+b \cosh (x)+c \sinh (x))}-\frac{\sinh (x) (A b-a B)+A c \cosh (x)+B c}{2 \left(a^2-b^2+c^2\right) (a+b \cosh (x)+c \sinh (x))^2}",1,"-(((2*a^2*A - 3*a*b*B + A*(b^2 - c^2))*ArcTanh[(c - (a - b)*Tanh[x/2])/Sqrt[a^2 - b^2 + c^2]])/(a^2 - b^2 + c^2)^(5/2)) - (B*c + A*c*Cosh[x] + (A*b - a*B)*Sinh[x])/(2*(a^2 - b^2 + c^2)*(a + b*Cosh[x] + c*Sinh[x])^2) - (a*B*c + (3*a*A - 2*b*B)*c*Cosh[x] + (3*a*A*b - a^2*B - 2*b^2*B)*Sinh[x])/(2*(a^2 - b^2 + c^2)^2*(a + b*Cosh[x] + c*Sinh[x]))","A",5,5,19,0.2632,1,"{3158, 3153, 3124, 618, 206}"
795,1,125,0,0.1427338,"\int \frac{B \cosh (x)+C \sinh (x)}{a+b \cosh (x)+c \sinh (x)} \, dx","Int[(B*Cosh[x] + C*Sinh[x])/(a + b*Cosh[x] + c*Sinh[x]),x]","\frac{2 a (b B-c C) \tanh ^{-1}\left(\frac{c-(a-b) \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2-b^2+c^2}}\right)}{\left(b^2-c^2\right) \sqrt{a^2-b^2+c^2}}-\frac{(B c-b C) \log (a+b \cosh (x)+c \sinh (x))}{b^2-c^2}+\frac{x (b B-c C)}{b^2-c^2}","\frac{2 a (b B-c C) \tanh ^{-1}\left(\frac{c-(a-b) \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2-b^2+c^2}}\right)}{\left(b^2-c^2\right) \sqrt{a^2-b^2+c^2}}-\frac{(B c-b C) \log (a+b \cosh (x)+c \sinh (x))}{b^2-c^2}+\frac{x (b B-c C)}{b^2-c^2}",1,"((b*B - c*C)*x)/(b^2 - c^2) + (2*a*(b*B - c*C)*ArcTanh[(c - (a - b)*Tanh[x/2])/Sqrt[a^2 - b^2 + c^2]])/((b^2 - c^2)*Sqrt[a^2 - b^2 + c^2]) - ((B*c - b*C)*Log[a + b*Cosh[x] + c*Sinh[x]])/(b^2 - c^2)","A",4,4,22,0.1818,1,"{3136, 3124, 618, 206}"
796,1,108,0,0.126024,"\int \frac{B \cosh (x)+C \sinh (x)}{(a+b \cosh (x)+c \sinh (x))^2} \, dx","Int[(B*Cosh[x] + C*Sinh[x])/(a + b*Cosh[x] + c*Sinh[x])^2,x]","\frac{2 (b B-c C) \tanh ^{-1}\left(\frac{c-(a-b) \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2-b^2+c^2}}\right)}{\left(a^2-b^2+c^2\right)^{3/2}}-\frac{-a B \sinh (x)-a C \cosh (x)-b C+B c}{\left(a^2-b^2+c^2\right) (a+b \cosh (x)+c \sinh (x))}","\frac{2 (b B-c C) \tanh ^{-1}\left(\frac{c-(a-b) \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2-b^2+c^2}}\right)}{\left(a^2-b^2+c^2\right)^{3/2}}-\frac{-a B \sinh (x)-a C \cosh (x)-b C+B c}{\left(a^2-b^2+c^2\right) (a+b \cosh (x)+c \sinh (x))}",1,"(2*(b*B - c*C)*ArcTanh[(c - (a - b)*Tanh[x/2])/Sqrt[a^2 - b^2 + c^2]])/(a^2 - b^2 + c^2)^(3/2) - (B*c - b*C - a*C*Cosh[x] - a*B*Sinh[x])/((a^2 - b^2 + c^2)*(a + b*Cosh[x] + c*Sinh[x]))","A",4,4,22,0.1818,1,"{3153, 3124, 618, 206}"
797,1,194,0,0.2598575,"\int \frac{B \cosh (x)+C \sinh (x)}{(a+b \cosh (x)+c \sinh (x))^3} \, dx","Int[(B*Cosh[x] + C*Sinh[x])/(a + b*Cosh[x] + c*Sinh[x])^3,x]","\frac{3 a (b B-c C) \tanh ^{-1}\left(\frac{c-(a-b) \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2-b^2+c^2}}\right)}{\left(a^2-b^2+c^2\right)^{5/2}}-\frac{-\cosh (x) \left(C \left(a^2-2 c^2\right)+2 b B c\right)-\sinh (x) \left(a^2 B+2 b (b B-c C)\right)+a (B c-b C)}{2 \left(a^2-b^2+c^2\right)^2 (a+b \cosh (x)+c \sinh (x))}-\frac{-a B \sinh (x)-a C \cosh (x)-b C+B c}{2 \left(a^2-b^2+c^2\right) (a+b \cosh (x)+c \sinh (x))^2}","\frac{3 a (b B-c C) \tanh ^{-1}\left(\frac{c-(a-b) \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2-b^2+c^2}}\right)}{\left(a^2-b^2+c^2\right)^{5/2}}-\frac{-\cosh (x) \left(C \left(a^2-2 c^2\right)+2 b B c\right)-\sinh (x) \left(a^2 B+2 b (b B-c C)\right)+a (B c-b C)}{2 \left(a^2-b^2+c^2\right)^2 (a+b \cosh (x)+c \sinh (x))}-\frac{-a B \sinh (x)-a C \cosh (x)-b C+B c}{2 \left(a^2-b^2+c^2\right) (a+b \cosh (x)+c \sinh (x))^2}",1,"(3*a*(b*B - c*C)*ArcTanh[(c - (a - b)*Tanh[x/2])/Sqrt[a^2 - b^2 + c^2]])/(a^2 - b^2 + c^2)^(5/2) - (B*c - b*C - a*C*Cosh[x] - a*B*Sinh[x])/(2*(a^2 - b^2 + c^2)*(a + b*Cosh[x] + c*Sinh[x])^2) - (a*(B*c - b*C) - (2*b*B*c + (a^2 - 2*c^2)*C)*Cosh[x] - (a^2*B + 2*b*(b*B - c*C))*Sinh[x])/(2*(a^2 - b^2 + c^2)^2*(a + b*Cosh[x] + c*Sinh[x]))","A",5,5,22,0.2273,1,"{3156, 3153, 3124, 618, 206}"
798,1,137,0,0.2193074,"\int \frac{A+B \cosh (x)+C \sinh (x)}{a+b \cosh (x)+c \sinh (x)} \, dx","Int[(A + B*Cosh[x] + C*Sinh[x])/(a + b*Cosh[x] + c*Sinh[x]),x]","-\frac{2 \tanh ^{-1}\left(\frac{c-(a-b) \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2-b^2+c^2}}\right) \left(-a b B+a c C+A b^2-A c^2\right)}{\left(b^2-c^2\right) \sqrt{a^2-b^2+c^2}}-\frac{(B c-b C) \log (a+b \cosh (x)+c \sinh (x))}{b^2-c^2}+\frac{x (b B-c C)}{b^2-c^2}","-\frac{2 \tanh ^{-1}\left(\frac{c-(a-b) \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2-b^2+c^2}}\right) \left(-a b B+a c C+A b^2-A c^2\right)}{\left(b^2-c^2\right) \sqrt{a^2-b^2+c^2}}-\frac{(B c-b C) \log (a+b \cosh (x)+c \sinh (x))}{b^2-c^2}+\frac{x (b B-c C)}{b^2-c^2}",1,"((b*B - c*C)*x)/(b^2 - c^2) - (2*(A*b^2 - a*b*B - A*c^2 + a*c*C)*ArcTanh[(c - (a - b)*Tanh[x/2])/Sqrt[a^2 - b^2 + c^2]])/((b^2 - c^2)*Sqrt[a^2 - b^2 + c^2]) - ((B*c - b*C)*Log[a + b*Cosh[x] + c*Sinh[x]])/(b^2 - c^2)","A",4,4,23,0.1739,1,"{3136, 3124, 618, 206}"
799,1,121,0,0.1502614,"\int \frac{A+B \cosh (x)+C \sinh (x)}{(a+b \cosh (x)+c \sinh (x))^2} \, dx","Int[(A + B*Cosh[x] + C*Sinh[x])/(a + b*Cosh[x] + c*Sinh[x])^2,x]","-\frac{2 \tanh ^{-1}\left(\frac{c-(a-b) \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2-b^2+c^2}}\right) (a A-b B+c C)}{\left(a^2-b^2+c^2\right)^{3/2}}-\frac{\sinh (x) (A b-a B)+\cosh (x) (A c-a C)-b C+B c}{\left(a^2-b^2+c^2\right) (a+b \cosh (x)+c \sinh (x))}","-\frac{2 \tanh ^{-1}\left(\frac{c-(a-b) \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2-b^2+c^2}}\right) (a A-b B+c C)}{\left(a^2-b^2+c^2\right)^{3/2}}-\frac{\sinh (x) (A b-a B)+\cosh (x) (A c-a C)-b C+B c}{\left(a^2-b^2+c^2\right) (a+b \cosh (x)+c \sinh (x))}",1,"(-2*(a*A - b*B + c*C)*ArcTanh[(c - (a - b)*Tanh[x/2])/Sqrt[a^2 - b^2 + c^2]])/(a^2 - b^2 + c^2)^(3/2) - (B*c - b*C + (A*c - a*C)*Cosh[x] + (A*b - a*B)*Sinh[x])/((a^2 - b^2 + c^2)*(a + b*Cosh[x] + c*Sinh[x]))","A",4,4,23,0.1739,1,"{3153, 3124, 618, 206}"
800,1,233,0,0.5114536,"\int \frac{A+B \cosh (x)+C \sinh (x)}{(a+b \cosh (x)+c \sinh (x))^3} \, dx","Int[(A + B*Cosh[x] + C*Sinh[x])/(a + b*Cosh[x] + c*Sinh[x])^3,x]","-\frac{\tanh ^{-1}\left(\frac{c-(a-b) \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2-b^2+c^2}}\right) \left(2 a^2 A-3 a b B+3 a c C+A b^2-A c^2\right)}{\left(a^2-b^2+c^2\right)^{5/2}}-\frac{\sinh (x) \left(a^2 (-B)+3 a A b-2 b (b B-c C)\right)+\cosh (x) \left(a^2 (-C)+3 a A c-2 c (b B-c C)\right)+a (B c-b C)}{2 \left(a^2-b^2+c^2\right)^2 (a+b \cosh (x)+c \sinh (x))}-\frac{\sinh (x) (A b-a B)+\cosh (x) (A c-a C)-b C+B c}{2 \left(a^2-b^2+c^2\right) (a+b \cosh (x)+c \sinh (x))^2}","-\frac{\tanh ^{-1}\left(\frac{c-(a-b) \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2-b^2+c^2}}\right) \left(2 a^2 A-3 a b B+3 a c C+A b^2-A c^2\right)}{\left(a^2-b^2+c^2\right)^{5/2}}-\frac{\sinh (x) \left(a^2 (-B)+3 a A b-2 b (b B-c C)\right)+\cosh (x) \left(a^2 (-C)+3 a A c-2 c (b B-c C)\right)+a (B c-b C)}{2 \left(a^2-b^2+c^2\right)^2 (a+b \cosh (x)+c \sinh (x))}-\frac{\sinh (x) (A b-a B)+\cosh (x) (A c-a C)-b C+B c}{2 \left(a^2-b^2+c^2\right) (a+b \cosh (x)+c \sinh (x))^2}",1,"-(((2*a^2*A + A*b^2 - 3*a*b*B - A*c^2 + 3*a*c*C)*ArcTanh[(c - (a - b)*Tanh[x/2])/Sqrt[a^2 - b^2 + c^2]])/(a^2 - b^2 + c^2)^(5/2)) - (B*c - b*C + (A*c - a*C)*Cosh[x] + (A*b - a*B)*Sinh[x])/(2*(a^2 - b^2 + c^2)*(a + b*Cosh[x] + c*Sinh[x])^2) - (a*(B*c - b*C) + (3*a*A*c - a^2*C - 2*c*(b*B - c*C))*Cosh[x] + (3*a*A*b - a^2*B - 2*b*(b*B - c*C))*Sinh[x])/(2*(a^2 - b^2 + c^2)^2*(a + b*Cosh[x] + c*Sinh[x]))","A",5,5,23,0.2174,1,"{3156, 3153, 3124, 618, 206}"
801,1,22,0,0.0829528,"\int \frac{b^2-c^2+a b \cosh (x)+a c \sinh (x)}{(a+b \cosh (x)+c \sinh (x))^2} \, dx","Int[(b^2 - c^2 + a*b*Cosh[x] + a*c*Sinh[x])/(a + b*Cosh[x] + c*Sinh[x])^2,x]","\frac{b \sinh (x)+c \cosh (x)}{a+b \cosh (x)+c \sinh (x)}","\frac{b \sinh (x)+c \cosh (x)}{a+b \cosh (x)+c \sinh (x)}",1,"(c*Cosh[x] + b*Sinh[x])/(a + b*Cosh[x] + c*Sinh[x])","A",1,1,32,0.03125,1,"{3150}"
802,1,71,0,0.0560363,"\int \frac{A+C \sinh (x)}{a+b \cosh (x)+b \sinh (x)} \, dx","Int[(A + C*Sinh[x])/(a + b*Cosh[x] + b*Sinh[x]),x]","\frac{x (2 a A+b C)}{2 a^2}-\frac{1}{2} \left(\frac{b C}{a^2}+\frac{2 A}{a}-\frac{C}{b}\right) \log (a+b \sinh (x)+b \cosh (x))-\frac{C \sinh (x)}{2 a}+\frac{C \cosh (x)}{2 a}","\frac{x (2 a A+b C)}{2 a^2}-\frac{1}{2} \left(\frac{b C}{a^2}+\frac{2 A}{a}-\frac{C}{b}\right) \log (a+b \sinh (x)+b \cosh (x))-\frac{C \sinh (x)}{2 a}+\frac{C \cosh (x)}{2 a}",1,"((2*a*A + b*C)*x)/(2*a^2) + (C*Cosh[x])/(2*a) - (((2*A)/a - C/b + (b*C)/a^2)*Log[a + b*Cosh[x] + b*Sinh[x]])/2 - (C*Sinh[x])/(2*a)","A",1,1,19,0.05263,1,"{3131}"
803,1,77,0,0.049617,"\int \frac{A+B \cosh (x)}{a+b \cosh (x)+b \sinh (x)} \, dx","Int[(A + B*Cosh[x])/(a + b*Cosh[x] + b*Sinh[x]),x]","-\frac{\left(a^2 (-B)+2 a A b-b^2 B\right) \log (a+b \sinh (x)+b \cosh (x))}{2 a^2 b}+\frac{x (2 a A-b B)}{2 a^2}+\frac{B \sinh (x)}{2 a}-\frac{B \cosh (x)}{2 a}","-\frac{\left(a^2 (-B)+2 a A b-b^2 B\right) \log (a+b \sinh (x)+b \cosh (x))}{2 a^2 b}+\frac{x (2 a A-b B)}{2 a^2}+\frac{B \sinh (x)}{2 a}-\frac{B \cosh (x)}{2 a}",1,"((2*a*A - b*B)*x)/(2*a^2) - (B*Cosh[x])/(2*a) - ((2*a*A*b - a^2*B - b^2*B)*Log[a + b*Cosh[x] + b*Sinh[x]])/(2*a^2*b) + (B*Sinh[x])/(2*a)","A",1,1,19,0.05263,1,"{3132}"
804,1,86,0,0.0830199,"\int \frac{A+B \cosh (x)+C \sinh (x)}{a+b \cosh (x)+b \sinh (x)} \, dx","Int[(A + B*Cosh[x] + C*Sinh[x])/(a + b*Cosh[x] + b*Sinh[x]),x]","-\frac{\left(a^2 (-(B+C))+2 a A b-b^2 (B-C)\right) \log (a+b \sinh (x)+b \cosh (x))}{2 a^2 b}+\frac{x (2 a A-b (B-C))}{2 a^2}-\frac{(B-C) (\cosh (x)-\sinh (x))}{2 a}","-\frac{\left(a^2 (-(B+C))+2 a A b-b^2 (B-C)\right) \log (a+b \sinh (x)+b \cosh (x))}{2 a^2 b}+\frac{x (2 a A-b (B-C))}{2 a^2}-\frac{(B-C) (\cosh (x)-\sinh (x))}{2 a}",1,"((2*a*A - b*(B - C))*x)/(2*a^2) - ((2*a*A*b - b^2*(B - C) - a^2*(B + C))*Log[a + b*Cosh[x] + b*Sinh[x]])/(2*a^2*b) - ((B - C)*(Cosh[x] - Sinh[x]))/(2*a)","A",1,1,23,0.04348,1,"{3130}"
805,1,77,0,0.0512851,"\int \frac{A+C \sinh (x)}{a+b \cosh (x)-b \sinh (x)} \, dx","Int[(A + C*Sinh[x])/(a + b*Cosh[x] - b*Sinh[x]),x]","\frac{\left(a^2 C+2 a A b-b^2 C\right) \log (a-b \sinh (x)+b \cosh (x))}{2 a^2 b}+\frac{x (2 a A-b C)}{2 a^2}+\frac{C \sinh (x)}{2 a}+\frac{C \cosh (x)}{2 a}","\frac{\left(a^2 C+2 a A b-b^2 C\right) \log (a-b \sinh (x)+b \cosh (x))}{2 a^2 b}+\frac{x (2 a A-b C)}{2 a^2}+\frac{C \sinh (x)}{2 a}+\frac{C \cosh (x)}{2 a}",1,"((2*a*A - b*C)*x)/(2*a^2) + (C*Cosh[x])/(2*a) + ((2*a*A*b + a^2*C - b^2*C)*Log[a + b*Cosh[x] - b*Sinh[x]])/(2*a^2*b) + (C*Sinh[x])/(2*a)","A",1,1,20,0.05000,1,"{3131}"
806,1,78,0,0.0455736,"\int \frac{A+B \cosh (x)}{a+b \cosh (x)-b \sinh (x)} \, dx","Int[(A + B*Cosh[x])/(a + b*Cosh[x] - b*Sinh[x]),x]","\frac{\left(a^2 (-B)+2 a A b-b^2 B\right) \log (a-b \sinh (x)+b \cosh (x))}{2 a^2 b}+\frac{x (2 a A-b B)}{2 a^2}+\frac{B \sinh (x)}{2 a}+\frac{B \cosh (x)}{2 a}","\frac{\left(a^2 (-B)+2 a A b-b^2 B\right) \log (a-b \sinh (x)+b \cosh (x))}{2 a^2 b}+\frac{x (2 a A-b B)}{2 a^2}+\frac{B \sinh (x)}{2 a}+\frac{B \cosh (x)}{2 a}",1,"((2*a*A - b*B)*x)/(2*a^2) + (B*Cosh[x])/(2*a) + ((2*a*A*b - a^2*B - b^2*B)*Log[a + b*Cosh[x] - b*Sinh[x]])/(2*a^2*b) + (B*Sinh[x])/(2*a)","A",1,1,20,0.05000,1,"{3132}"
807,1,81,0,0.0802853,"\int \frac{A+B \cosh (x)+C \sinh (x)}{a+b \cosh (x)-b \sinh (x)} \, dx","Int[(A + B*Cosh[x] + C*Sinh[x])/(a + b*Cosh[x] - b*Sinh[x]),x]","\frac{\left(a^2 (-(B-C))+2 a A b-b^2 (B+C)\right) \log (a-b \sinh (x)+b \cosh (x))}{2 a^2 b}+\frac{x (2 a A-b (B+C))}{2 a^2}+\frac{(B+C) (\sinh (x)+\cosh (x))}{2 a}","\frac{\left(a^2 (-(B-C))+2 a A b-b^2 (B+C)\right) \log (a-b \sinh (x)+b \cosh (x))}{2 a^2 b}+\frac{x (2 a A-b (B+C))}{2 a^2}+\frac{(B+C) (\sinh (x)+\cosh (x))}{2 a}",1,"((2*a*A - b*(B + C))*x)/(2*a^2) + ((2*a*A*b - a^2*(B - C) - b^2*(B + C))*Log[a + b*Cosh[x] - b*Sinh[x]])/(2*a^2*b) + ((B + C)*(Cosh[x] + Sinh[x]))/(2*a)","A",1,1,24,0.04167,1,"{3130}"
808,1,3,0,0.0172277,"\int \frac{1}{\cosh ^2(x)+\sinh ^2(x)} \, dx","Int[(Cosh[x]^2 + Sinh[x]^2)^(-1),x]","\tan ^{-1}(\tanh (x))","\tan ^{-1}(\tanh (x))",1,"ArcTan[Tanh[x]]","A",2,1,11,0.09091,1,"{203}"
809,1,11,0,0.0249508,"\int \frac{1}{\left(\cosh ^2(x)+\sinh ^2(x)\right)^2} \, dx","Int[(Cosh[x]^2 + Sinh[x]^2)^(-2),x]","\frac{\tanh (x)}{\tanh ^2(x)+1}","\frac{\tanh (x)}{\tanh ^2(x)+1}",1,"Tanh[x]/(1 + Tanh[x]^2)","A",2,1,11,0.09091,1,"{383}"
810,1,26,0,0.0287418,"\int \frac{1}{\left(\cosh ^2(x)+\sinh ^2(x)\right)^3} \, dx","Int[(Cosh[x]^2 + Sinh[x]^2)^(-3),x]","\frac{1}{2} \tan ^{-1}(\tanh (x))+\frac{\tanh (x) \text{sech}^2(x)}{2 \left(\tanh ^2(x)+1\right)^2}","\frac{1}{2} \tan ^{-1}(\tanh (x))+\frac{\tanh (x) \text{sech}^2(x)}{2 \left(\tanh ^2(x)+1\right)^2}",1,"ArcTan[Tanh[x]]/2 + (Sech[x]^2*Tanh[x])/(2*(1 + Tanh[x]^2)^2)","A",4,3,11,0.2727,1,"{413, 21, 203}"
811,1,1,0,0.0147339,"\int \frac{1}{\cosh ^2(x)-\sinh ^2(x)} \, dx","Int[(Cosh[x]^2 - Sinh[x]^2)^(-1),x]","x","x",1,"x","A",2,2,13,0.1538,1,"{4380, 8}"
812,1,1,0,0.0134379,"\int \frac{1}{\left(\cosh ^2(x)-\sinh ^2(x)\right)^2} \, dx","Int[(Cosh[x]^2 - Sinh[x]^2)^(-2),x]","x","x",1,"x","A",2,2,13,0.1538,1,"{4380, 8}"
813,1,1,0,0.0135388,"\int \frac{1}{\left(\cosh ^2(x)-\sinh ^2(x)\right)^3} \, dx","Int[(Cosh[x]^2 - Sinh[x]^2)^(-3),x]","x","x",1,"x","A",2,2,13,0.1538,1,"{4380, 8}"
814,1,1,0,0.01261,"\int \frac{1}{\text{sech}^2(x)+\tanh ^2(x)} \, dx","Int[(Sech[x]^2 + Tanh[x]^2)^(-1),x]","x","x",1,"x","A",2,2,11,0.1818,1,"{4381, 8}"
815,1,1,0,0.0123049,"\int \frac{1}{\left(\text{sech}^2(x)+\tanh ^2(x)\right)^2} \, dx","Int[(Sech[x]^2 + Tanh[x]^2)^(-2),x]","x","x",1,"x","A",2,2,11,0.1818,1,"{4381, 8}"
816,1,1,0,0.0129531,"\int \frac{1}{\left(\text{sech}^2(x)+\tanh ^2(x)\right)^3} \, dx","Int[(Sech[x]^2 + Tanh[x]^2)^(-3),x]","x","x",1,"x","A",2,2,11,0.1818,1,"{4381, 8}"
817,1,19,0,0.0282499,"\int \frac{1}{\text{sech}^2(x)-\tanh ^2(x)} \, dx","Int[(Sech[x]^2 - Tanh[x]^2)^(-1),x]","\sqrt{2} \tanh ^{-1}\left(\sqrt{2} \tanh (x)\right)-x","\sqrt{2} \tanh ^{-1}\left(\sqrt{2} \tanh (x)\right)-x",1,"-x + Sqrt[2]*ArcTanh[Sqrt[2]*Tanh[x]]","A",4,2,13,0.1538,1,"{1093, 207}"
818,1,31,0,0.054305,"\int \frac{1}{\left(\text{sech}^2(x)-\tanh ^2(x)\right)^2} \, dx","Int[(Sech[x]^2 - Tanh[x]^2)^(-2),x]","x-\frac{\tanh ^{-1}\left(\sqrt{2} \tanh (x)\right)}{\sqrt{2}}+\frac{\tanh (x)}{1-2 \tanh ^2(x)}","x-\frac{\tanh ^{-1}\left(\sqrt{2} \tanh (x)\right)}{\sqrt{2}}+\frac{\tanh (x)}{1-2 \tanh ^2(x)}",1,"x - ArcTanh[Sqrt[2]*Tanh[x]]/Sqrt[2] + Tanh[x]/(1 - 2*Tanh[x]^2)","A",6,4,13,0.3077,1,"{414, 12, 481, 206}"
819,1,54,0,0.0642893,"\int \frac{1}{\left(\text{sech}^2(x)-\tanh ^2(x)\right)^3} \, dx","Int[(Sech[x]^2 - Tanh[x]^2)^(-3),x]","-x+\frac{7 \tanh ^{-1}\left(\sqrt{2} \tanh (x)\right)}{4 \sqrt{2}}-\frac{\tanh (x)}{4 \left(1-2 \tanh ^2(x)\right)}+\frac{\tanh (x)}{2 \left(1-2 \tanh ^2(x)\right)^2}","-x+\frac{7 \tanh ^{-1}\left(\sqrt{2} \tanh (x)\right)}{4 \sqrt{2}}-\frac{\tanh (x)}{4 \left(1-2 \tanh ^2(x)\right)}+\frac{\tanh (x)}{2 \left(1-2 \tanh ^2(x)\right)^2}",1,"-x + (7*ArcTanh[Sqrt[2]*Tanh[x]])/(4*Sqrt[2]) + Tanh[x]/(2*(1 - 2*Tanh[x]^2)^2) - Tanh[x]/(4*(1 - 2*Tanh[x]^2))","A",6,4,13,0.3077,1,"{414, 527, 522, 206}"
820,1,18,0,0.0302392,"\int \frac{1}{\coth ^2(x)+\text{csch}^2(x)} \, dx","Int[(Coth[x]^2 + Csch[x]^2)^(-1),x]","x-\sqrt{2} \tanh ^{-1}\left(\frac{\tanh (x)}{\sqrt{2}}\right)","x-\sqrt{2} \tanh ^{-1}\left(\frac{\tanh (x)}{\sqrt{2}}\right)",1,"x - Sqrt[2]*ArcTanh[Tanh[x]/Sqrt[2]]","A",4,2,11,0.1818,1,"{1130, 207}"
821,1,32,0,0.0467893,"\int \frac{1}{\left(\coth ^2(x)+\text{csch}^2(x)\right)^2} \, dx","Int[(Coth[x]^2 + Csch[x]^2)^(-2),x]","x-\frac{\tanh ^{-1}\left(\frac{\tanh (x)}{\sqrt{2}}\right)}{\sqrt{2}}-\frac{\tanh (x)}{2-\tanh ^2(x)}","x-\frac{\tanh ^{-1}\left(\frac{\tanh (x)}{\sqrt{2}}\right)}{\sqrt{2}}-\frac{\tanh (x)}{2-\tanh ^2(x)}",1,"x - ArcTanh[Tanh[x]/Sqrt[2]]/Sqrt[2] - Tanh[x]/(2 - Tanh[x]^2)","A",6,4,11,0.3636,1,"{470, 12, 391, 206}"
822,1,54,0,0.0884717,"\int \frac{1}{\left(\coth ^2(x)+\text{csch}^2(x)\right)^3} \, dx","Int[(Coth[x]^2 + Csch[x]^2)^(-3),x]","x-\frac{\tanh ^3(x)}{2 \left(2-\tanh ^2(x)\right)^2}-\frac{\tanh (x)}{4 \left(2-\tanh ^2(x)\right)}-\frac{7 \tanh ^{-1}\left(\frac{\tanh (x)}{\sqrt{2}}\right)}{4 \sqrt{2}}","x-\frac{\tanh ^3(x)}{2 \left(2-\tanh ^2(x)\right)^2}-\frac{\tanh (x)}{4 \left(2-\tanh ^2(x)\right)}-\frac{7 \tanh ^{-1}\left(\frac{\tanh (x)}{\sqrt{2}}\right)}{4 \sqrt{2}}",1,"x - (7*ArcTanh[Tanh[x]/Sqrt[2]])/(4*Sqrt[2]) - Tanh[x]^3/(2*(2 - Tanh[x]^2)^2) - Tanh[x]/(4*(2 - Tanh[x]^2))","A",6,4,11,0.3636,1,"{470, 578, 522, 206}"
823,1,1,0,0.0155451,"\int \frac{1}{\coth ^2(x)-\text{csch}^2(x)} \, dx","Int[(Coth[x]^2 - Csch[x]^2)^(-1),x]","x","x",1,"x","A",2,2,13,0.1538,1,"{4382, 8}"
824,1,1,0,0.0154925,"\int \frac{1}{\left(\coth ^2(x)-\text{csch}^2(x)\right)^2} \, dx","Int[(Coth[x]^2 - Csch[x]^2)^(-2),x]","x","x",1,"x","A",2,2,13,0.1538,1,"{4382, 8}"
825,1,1,0,0.0160287,"\int \frac{1}{\left(\coth ^2(x)-\text{csch}^2(x)\right)^3} \, dx","Int[(Coth[x]^2 - Csch[x]^2)^(-3),x]","x","x",1,"x","A",2,2,13,0.1538,1,"{4382, 8}"
826,1,271,0,0.9151875,"\int \frac{1}{a+b \sinh (x)+c \sinh ^2(x)} \, dx","Int[(a + b*Sinh[x] + c*Sinh[x]^2)^(-1),x]","\frac{2 \sqrt{2} c \tan ^{-1}\left(\frac{2 i c-\tanh \left(\frac{x}{2}\right) \left(\sqrt{4 a c-b^2}+i b\right)}{\sqrt{2} \sqrt{-i b \sqrt{4 a c-b^2}-2 c (a-c)+b^2}}\right)}{\sqrt{4 a c-b^2} \sqrt{-i b \sqrt{4 a c-b^2}-2 c (a-c)+b^2}}-\frac{2 \sqrt{2} c \tan ^{-1}\left(\frac{\tanh \left(\frac{x}{2}\right) \sqrt{4 a c-b^2}-i b \tanh \left(\frac{x}{2}\right)+2 i c}{\sqrt{2} \sqrt{i b \sqrt{4 a c-b^2}-2 c (a-c)+b^2}}\right)}{\sqrt{4 a c-b^2} \sqrt{i b \sqrt{4 a c-b^2}-2 c (a-c)+b^2}}","\frac{2 \sqrt{2} c \tan ^{-1}\left(\frac{2 i c-\tanh \left(\frac{x}{2}\right) \left(\sqrt{4 a c-b^2}+i b\right)}{\sqrt{2} \sqrt{-i b \sqrt{4 a c-b^2}-2 c (a-c)+b^2}}\right)}{\sqrt{4 a c-b^2} \sqrt{-i b \sqrt{4 a c-b^2}-2 c (a-c)+b^2}}-\frac{2 \sqrt{2} c \tan ^{-1}\left(\frac{\tanh \left(\frac{x}{2}\right) \sqrt{4 a c-b^2}-i b \tanh \left(\frac{x}{2}\right)+2 i c}{\sqrt{2} \sqrt{i b \sqrt{4 a c-b^2}-2 c (a-c)+b^2}}\right)}{\sqrt{4 a c-b^2} \sqrt{i b \sqrt{4 a c-b^2}-2 c (a-c)+b^2}}",1,"(-2*Sqrt[2]*c*ArcTan[((2*I)*c - I*b*Tanh[x/2] + Sqrt[-b^2 + 4*a*c]*Tanh[x/2])/(Sqrt[2]*Sqrt[b^2 - 2*(a - c)*c + I*b*Sqrt[-b^2 + 4*a*c]])])/(Sqrt[-b^2 + 4*a*c]*Sqrt[b^2 - 2*(a - c)*c + I*b*Sqrt[-b^2 + 4*a*c]]) + (2*Sqrt[2]*c*ArcTan[((2*I)*c - (I*b + Sqrt[-b^2 + 4*a*c])*Tanh[x/2])/(Sqrt[2]*Sqrt[b^2 - 2*(a - c)*c - I*b*Sqrt[-b^2 + 4*a*c]])])/(Sqrt[-b^2 + 4*a*c]*Sqrt[b^2 - 2*(a - c)*c - I*b*Sqrt[-b^2 + 4*a*c]])","A",7,4,14,0.2857,1,"{3248, 2660, 618, 204}"
827,1,280,0,0.7236674,"\int \frac{\sinh (x)}{a+b \sinh (x)+c \sinh ^2(x)} \, dx","Int[Sinh[x]/(a + b*Sinh[x] + c*Sinh[x]^2),x]","\frac{\sqrt{2} \left(\frac{b}{\sqrt{4 a c-b^2}}+i\right) \tan ^{-1}\left(\frac{\tanh \left(\frac{x}{2}\right) \sqrt{4 a c-b^2}-i b \tanh \left(\frac{x}{2}\right)+2 i c}{\sqrt{2} \sqrt{i b \sqrt{4 a c-b^2}-2 c (a-c)+b^2}}\right)}{\sqrt{i b \sqrt{4 a c-b^2}-2 c (a-c)+b^2}}+\frac{\sqrt{2} \left(-\frac{b}{\sqrt{4 a c-b^2}}+i\right) \tan ^{-1}\left(\frac{2 i c-\tanh \left(\frac{x}{2}\right) \left(\sqrt{4 a c-b^2}+i b\right)}{\sqrt{2} \sqrt{-i b \sqrt{4 a c-b^2}-2 c (a-c)+b^2}}\right)}{\sqrt{-i b \sqrt{4 a c-b^2}-2 c (a-c)+b^2}}","\frac{\sqrt{2} \left(\frac{b}{\sqrt{4 a c-b^2}}+i\right) \tan ^{-1}\left(\frac{\tanh \left(\frac{x}{2}\right) \sqrt{4 a c-b^2}-i b \tanh \left(\frac{x}{2}\right)+2 i c}{\sqrt{2} \sqrt{i b \sqrt{4 a c-b^2}-2 c (a-c)+b^2}}\right)}{\sqrt{i b \sqrt{4 a c-b^2}-2 c (a-c)+b^2}}+\frac{\sqrt{2} \left(-\frac{b}{\sqrt{4 a c-b^2}}+i\right) \tan ^{-1}\left(\frac{2 i c-\tanh \left(\frac{x}{2}\right) \left(\sqrt{4 a c-b^2}+i b\right)}{\sqrt{2} \sqrt{-i b \sqrt{4 a c-b^2}-2 c (a-c)+b^2}}\right)}{\sqrt{-i b \sqrt{4 a c-b^2}-2 c (a-c)+b^2}}",1,"(Sqrt[2]*(I + b/Sqrt[-b^2 + 4*a*c])*ArcTan[((2*I)*c - I*b*Tanh[x/2] + Sqrt[-b^2 + 4*a*c]*Tanh[x/2])/(Sqrt[2]*Sqrt[b^2 - 2*(a - c)*c + I*b*Sqrt[-b^2 + 4*a*c]])])/Sqrt[b^2 - 2*(a - c)*c + I*b*Sqrt[-b^2 + 4*a*c]] + (Sqrt[2]*(I - b/Sqrt[-b^2 + 4*a*c])*ArcTan[((2*I)*c - (I*b + Sqrt[-b^2 + 4*a*c])*Tanh[x/2])/(Sqrt[2]*Sqrt[b^2 - 2*(a - c)*c - I*b*Sqrt[-b^2 + 4*a*c]])])/Sqrt[b^2 - 2*(a - c)*c - I*b*Sqrt[-b^2 + 4*a*c]]","A",8,4,17,0.2353,1,"{3256, 2660, 618, 204}"
828,1,309,0,1.0805597,"\int \frac{\sinh ^2(x)}{a+b \sinh (x)+c \sinh ^2(x)} \, dx","Int[Sinh[x]^2/(a + b*Sinh[x] + c*Sinh[x]^2),x]","-\frac{\sqrt{2} \left(\frac{b^2-2 a c}{\sqrt{4 a c-b^2}}+i b\right) \tan ^{-1}\left(\frac{2 i c-\tanh \left(\frac{x}{2}\right) \left(-\sqrt{4 a c-b^2}+i b\right)}{\sqrt{2} \sqrt{i b \sqrt{4 a c-b^2}-2 c (a-c)+b^2}}\right)}{c \sqrt{i b \sqrt{4 a c-b^2}-2 c (a-c)+b^2}}-\frac{\sqrt{2} \left(-\frac{b^2-2 a c}{\sqrt{4 a c-b^2}}+i b\right) \tan ^{-1}\left(\frac{2 i c-\tanh \left(\frac{x}{2}\right) \left(\sqrt{4 a c-b^2}+i b\right)}{\sqrt{2} \sqrt{-i b \sqrt{4 a c-b^2}-2 c (a-c)+b^2}}\right)}{c \sqrt{-i b \sqrt{4 a c-b^2}-2 c (a-c)+b^2}}+\frac{x}{c}","-\frac{\sqrt{2} \left(\frac{b^2-2 a c}{\sqrt{4 a c-b^2}}+i b\right) \tan ^{-1}\left(\frac{2 i c-\tanh \left(\frac{x}{2}\right) \left(-\sqrt{4 a c-b^2}+i b\right)}{\sqrt{2} \sqrt{i b \sqrt{4 a c-b^2}-2 c (a-c)+b^2}}\right)}{c \sqrt{i b \sqrt{4 a c-b^2}-2 c (a-c)+b^2}}-\frac{\sqrt{2} \left(-\frac{b^2-2 a c}{\sqrt{4 a c-b^2}}+i b\right) \tan ^{-1}\left(\frac{2 i c-\tanh \left(\frac{x}{2}\right) \left(\sqrt{4 a c-b^2}+i b\right)}{\sqrt{2} \sqrt{-i b \sqrt{4 a c-b^2}-2 c (a-c)+b^2}}\right)}{c \sqrt{-i b \sqrt{4 a c-b^2}-2 c (a-c)+b^2}}+\frac{x}{c}",1,"x/c - (Sqrt[2]*(I*b + (b^2 - 2*a*c)/Sqrt[-b^2 + 4*a*c])*ArcTan[((2*I)*c - (I*b - Sqrt[-b^2 + 4*a*c])*Tanh[x/2])/(Sqrt[2]*Sqrt[b^2 - 2*(a - c)*c + I*b*Sqrt[-b^2 + 4*a*c]])])/(c*Sqrt[b^2 - 2*(a - c)*c + I*b*Sqrt[-b^2 + 4*a*c]]) - (Sqrt[2]*(I*b - (b^2 - 2*a*c)/Sqrt[-b^2 + 4*a*c])*ArcTan[((2*I)*c - (I*b + Sqrt[-b^2 + 4*a*c])*Tanh[x/2])/(Sqrt[2]*Sqrt[b^2 - 2*(a - c)*c - I*b*Sqrt[-b^2 + 4*a*c]])])/(c*Sqrt[b^2 - 2*(a - c)*c - I*b*Sqrt[-b^2 + 4*a*c]])","A",9,5,19,0.2632,1,"{3256, 3292, 2660, 618, 204}"
829,1,363,0,4.6765198,"\int \frac{\sinh ^3(x)}{a+b \sinh (x)+c \sinh ^2(x)} \, dx","Int[Sinh[x]^3/(a + b*Sinh[x] + c*Sinh[x]^2),x]","\frac{\sqrt{2} \left(\frac{b^3}{\sqrt{4 a c-b^2}}+i \left(\frac{3 i a b c}{\sqrt{4 a c-b^2}}-a c+b^2\right)\right) \tan ^{-1}\left(\frac{\tanh \left(\frac{x}{2}\right) \sqrt{4 a c-b^2}-i b \tanh \left(\frac{x}{2}\right)+2 i c}{\sqrt{2} \sqrt{i b \sqrt{4 a c-b^2}-2 c (a-c)+b^2}}\right)}{c^2 \sqrt{i b \sqrt{4 a c-b^2}-2 c (a-c)+b^2}}-\frac{\sqrt{2} \left(\frac{b^3}{\sqrt{4 a c-b^2}}-i \left(-\frac{3 i a b c}{\sqrt{4 a c-b^2}}-a c+b^2\right)\right) \tan ^{-1}\left(\frac{2 i c-\tanh \left(\frac{x}{2}\right) \left(\sqrt{4 a c-b^2}+i b\right)}{\sqrt{2} \sqrt{-i b \sqrt{4 a c-b^2}-2 c (a-c)+b^2}}\right)}{c^2 \sqrt{-i b \sqrt{4 a c-b^2}-2 c (a-c)+b^2}}-\frac{b x}{c^2}+\frac{\cosh (x)}{c}","\frac{\sqrt{2} \left(\frac{b^3}{\sqrt{4 a c-b^2}}+i \left(\frac{3 i a b c}{\sqrt{4 a c-b^2}}-a c+b^2\right)\right) \tan ^{-1}\left(\frac{\tanh \left(\frac{x}{2}\right) \sqrt{4 a c-b^2}-i b \tanh \left(\frac{x}{2}\right)+2 i c}{\sqrt{2} \sqrt{i b \sqrt{4 a c-b^2}-2 c (a-c)+b^2}}\right)}{c^2 \sqrt{i b \sqrt{4 a c-b^2}-2 c (a-c)+b^2}}-\frac{\sqrt{2} \left(\frac{b^3}{\sqrt{4 a c-b^2}}-i \left(-\frac{3 i a b c}{\sqrt{4 a c-b^2}}-a c+b^2\right)\right) \tan ^{-1}\left(\frac{2 i c-\tanh \left(\frac{x}{2}\right) \left(\sqrt{4 a c-b^2}+i b\right)}{\sqrt{2} \sqrt{-i b \sqrt{4 a c-b^2}-2 c (a-c)+b^2}}\right)}{c^2 \sqrt{-i b \sqrt{4 a c-b^2}-2 c (a-c)+b^2}}-\frac{b x}{c^2}+\frac{\cosh (x)}{c}",1,"-((b*x)/c^2) + (Sqrt[2]*(b^3/Sqrt[-b^2 + 4*a*c] + I*(b^2 - a*c + ((3*I)*a*b*c)/Sqrt[-b^2 + 4*a*c]))*ArcTan[((2*I)*c - I*b*Tanh[x/2] + Sqrt[-b^2 + 4*a*c]*Tanh[x/2])/(Sqrt[2]*Sqrt[b^2 - 2*(a - c)*c + I*b*Sqrt[-b^2 + 4*a*c]])])/(c^2*Sqrt[b^2 - 2*(a - c)*c + I*b*Sqrt[-b^2 + 4*a*c]]) - (Sqrt[2]*(b^3/Sqrt[-b^2 + 4*a*c] - I*(b^2 - a*c - ((3*I)*a*b*c)/Sqrt[-b^2 + 4*a*c]))*ArcTan[((2*I)*c - (I*b + Sqrt[-b^2 + 4*a*c])*Tanh[x/2])/(Sqrt[2]*Sqrt[b^2 - 2*(a - c)*c - I*b*Sqrt[-b^2 + 4*a*c]])])/(c^2*Sqrt[b^2 - 2*(a - c)*c - I*b*Sqrt[-b^2 + 4*a*c]]) + Cosh[x]/c","A",10,6,19,0.3158,1,"{3256, 2638, 3292, 2660, 618, 204}"
830,1,12,0,0.0906189,"\int \frac{a+b \sinh (x)}{b^2-2 a b \sinh (x)+a^2 \sinh ^2(x)} \, dx","Int[(a + b*Sinh[x])/(b^2 - 2*a*b*Sinh[x] + a^2*Sinh[x]^2),x]","\frac{\cosh (x)}{b-a \sinh (x)}","\frac{\cosh (x)}{b-a \sinh (x)}",1,"Cosh[x]/(b - a*Sinh[x])","A",3,3,27,0.1111,1,"{3288, 2754, 8}"
831,1,300,0,0.7577755,"\int \frac{d+e \sinh (x)}{a+b \sinh (x)+c \sinh ^2(x)} \, dx","Int[(d + e*Sinh[x])/(a + b*Sinh[x] + c*Sinh[x]^2),x]","\frac{\sqrt{2} \left(-\frac{2 c d-b e}{\sqrt{4 a c-b^2}}+i e\right) \tan ^{-1}\left(\frac{\tanh \left(\frac{x}{2}\right) \sqrt{4 a c-b^2}-i b \tanh \left(\frac{x}{2}\right)+2 i c}{\sqrt{2} \sqrt{i b \sqrt{4 a c-b^2}-2 c (a-c)+b^2}}\right)}{\sqrt{i b \sqrt{4 a c-b^2}-2 c (a-c)+b^2}}+\frac{\sqrt{2} \left(\frac{2 c d-b e}{\sqrt{4 a c-b^2}}+i e\right) \tan ^{-1}\left(\frac{2 i c-\tanh \left(\frac{x}{2}\right) \left(\sqrt{4 a c-b^2}+i b\right)}{\sqrt{2} \sqrt{-i b \sqrt{4 a c-b^2}-2 c (a-c)+b^2}}\right)}{\sqrt{-i b \sqrt{4 a c-b^2}-2 c (a-c)+b^2}}","\frac{\sqrt{2} \left(-\frac{2 c d-b e}{\sqrt{4 a c-b^2}}+i e\right) \tan ^{-1}\left(\frac{\tanh \left(\frac{x}{2}\right) \sqrt{4 a c-b^2}-i b \tanh \left(\frac{x}{2}\right)+2 i c}{\sqrt{2} \sqrt{i b \sqrt{4 a c-b^2}-2 c (a-c)+b^2}}\right)}{\sqrt{i b \sqrt{4 a c-b^2}-2 c (a-c)+b^2}}+\frac{\sqrt{2} \left(\frac{2 c d-b e}{\sqrt{4 a c-b^2}}+i e\right) \tan ^{-1}\left(\frac{2 i c-\tanh \left(\frac{x}{2}\right) \left(\sqrt{4 a c-b^2}+i b\right)}{\sqrt{2} \sqrt{-i b \sqrt{4 a c-b^2}-2 c (a-c)+b^2}}\right)}{\sqrt{-i b \sqrt{4 a c-b^2}-2 c (a-c)+b^2}}",1,"(Sqrt[2]*(I*e - (2*c*d - b*e)/Sqrt[-b^2 + 4*a*c])*ArcTan[((2*I)*c - I*b*Tanh[x/2] + Sqrt[-b^2 + 4*a*c]*Tanh[x/2])/(Sqrt[2]*Sqrt[b^2 - 2*(a - c)*c + I*b*Sqrt[-b^2 + 4*a*c]])])/Sqrt[b^2 - 2*(a - c)*c + I*b*Sqrt[-b^2 + 4*a*c]] + (Sqrt[2]*(I*e + (2*c*d - b*e)/Sqrt[-b^2 + 4*a*c])*ArcTan[((2*I)*c - (I*b + Sqrt[-b^2 + 4*a*c])*Tanh[x/2])/(Sqrt[2]*Sqrt[b^2 - 2*(a - c)*c - I*b*Sqrt[-b^2 + 4*a*c]])])/Sqrt[b^2 - 2*(a - c)*c - I*b*Sqrt[-b^2 + 4*a*c]]","A",7,4,21,0.1905,1,"{3292, 2660, 618, 204}"
832,1,223,0,0.6290011,"\int \frac{1}{a+b \cosh (x)+c \cosh ^2(x)} \, dx","Int[(a + b*Cosh[x] + c*Cosh[x]^2)^(-1),x]","\frac{4 c \tanh ^{-1}\left(\frac{\tanh \left(\frac{x}{2}\right) \sqrt{-\sqrt{b^2-4 a c}+b-2 c}}{\sqrt{-\sqrt{b^2-4 a c}+b+2 c}}\right)}{\sqrt{b^2-4 a c} \sqrt{-\sqrt{b^2-4 a c}+b-2 c} \sqrt{-\sqrt{b^2-4 a c}+b+2 c}}-\frac{4 c \tanh ^{-1}\left(\frac{\tanh \left(\frac{x}{2}\right) \sqrt{\sqrt{b^2-4 a c}+b-2 c}}{\sqrt{\sqrt{b^2-4 a c}+b+2 c}}\right)}{\sqrt{b^2-4 a c} \sqrt{\sqrt{b^2-4 a c}+b-2 c} \sqrt{\sqrt{b^2-4 a c}+b+2 c}}","\frac{4 c \tanh ^{-1}\left(\frac{\tanh \left(\frac{x}{2}\right) \sqrt{-\sqrt{b^2-4 a c}+b-2 c}}{\sqrt{-\sqrt{b^2-4 a c}+b+2 c}}\right)}{\sqrt{b^2-4 a c} \sqrt{-\sqrt{b^2-4 a c}+b-2 c} \sqrt{-\sqrt{b^2-4 a c}+b+2 c}}-\frac{4 c \tanh ^{-1}\left(\frac{\tanh \left(\frac{x}{2}\right) \sqrt{\sqrt{b^2-4 a c}+b-2 c}}{\sqrt{\sqrt{b^2-4 a c}+b+2 c}}\right)}{\sqrt{b^2-4 a c} \sqrt{\sqrt{b^2-4 a c}+b-2 c} \sqrt{\sqrt{b^2-4 a c}+b+2 c}}",1,"(4*c*ArcTanh[(Sqrt[b - 2*c - Sqrt[b^2 - 4*a*c]]*Tanh[x/2])/Sqrt[b + 2*c - Sqrt[b^2 - 4*a*c]]])/(Sqrt[b^2 - 4*a*c]*Sqrt[b - 2*c - Sqrt[b^2 - 4*a*c]]*Sqrt[b + 2*c - Sqrt[b^2 - 4*a*c]]) - (4*c*ArcTanh[(Sqrt[b - 2*c + Sqrt[b^2 - 4*a*c]]*Tanh[x/2])/Sqrt[b + 2*c + Sqrt[b^2 - 4*a*c]]])/(Sqrt[b^2 - 4*a*c]*Sqrt[b - 2*c + Sqrt[b^2 - 4*a*c]]*Sqrt[b + 2*c + Sqrt[b^2 - 4*a*c]])","A",5,3,14,0.2143,1,"{3249, 2659, 208}"
833,1,230,0,0.5831196,"\int \frac{\cosh (x)}{a+b \cosh (x)+c \cosh ^2(x)} \, dx","Int[Cosh[x]/(a + b*Cosh[x] + c*Cosh[x]^2),x]","\frac{2 \left(1-\frac{b}{\sqrt{b^2-4 a c}}\right) \tanh ^{-1}\left(\frac{\tanh \left(\frac{x}{2}\right) \sqrt{-\sqrt{b^2-4 a c}+b-2 c}}{\sqrt{-\sqrt{b^2-4 a c}+b+2 c}}\right)}{\sqrt{-\sqrt{b^2-4 a c}+b-2 c} \sqrt{-\sqrt{b^2-4 a c}+b+2 c}}+\frac{2 \left(\frac{b}{\sqrt{b^2-4 a c}}+1\right) \tanh ^{-1}\left(\frac{\tanh \left(\frac{x}{2}\right) \sqrt{\sqrt{b^2-4 a c}+b-2 c}}{\sqrt{\sqrt{b^2-4 a c}+b+2 c}}\right)}{\sqrt{\sqrt{b^2-4 a c}+b-2 c} \sqrt{\sqrt{b^2-4 a c}+b+2 c}}","\frac{2 \left(1-\frac{b}{\sqrt{b^2-4 a c}}\right) \tanh ^{-1}\left(\frac{\tanh \left(\frac{x}{2}\right) \sqrt{-\sqrt{b^2-4 a c}+b-2 c}}{\sqrt{-\sqrt{b^2-4 a c}+b+2 c}}\right)}{\sqrt{-\sqrt{b^2-4 a c}+b-2 c} \sqrt{-\sqrt{b^2-4 a c}+b+2 c}}+\frac{2 \left(\frac{b}{\sqrt{b^2-4 a c}}+1\right) \tanh ^{-1}\left(\frac{\tanh \left(\frac{x}{2}\right) \sqrt{\sqrt{b^2-4 a c}+b-2 c}}{\sqrt{\sqrt{b^2-4 a c}+b+2 c}}\right)}{\sqrt{\sqrt{b^2-4 a c}+b-2 c} \sqrt{\sqrt{b^2-4 a c}+b+2 c}}",1,"(2*(1 - b/Sqrt[b^2 - 4*a*c])*ArcTanh[(Sqrt[b - 2*c - Sqrt[b^2 - 4*a*c]]*Tanh[x/2])/Sqrt[b + 2*c - Sqrt[b^2 - 4*a*c]]])/(Sqrt[b - 2*c - Sqrt[b^2 - 4*a*c]]*Sqrt[b + 2*c - Sqrt[b^2 - 4*a*c]]) + (2*(1 + b/Sqrt[b^2 - 4*a*c])*ArcTanh[(Sqrt[b - 2*c + Sqrt[b^2 - 4*a*c]]*Tanh[x/2])/Sqrt[b + 2*c + Sqrt[b^2 - 4*a*c]]])/(Sqrt[b - 2*c + Sqrt[b^2 - 4*a*c]]*Sqrt[b + 2*c + Sqrt[b^2 - 4*a*c]])","A",6,3,17,0.1765,1,"{3257, 2659, 208}"
834,1,255,0,1.2905057,"\int \frac{\cosh ^2(x)}{a+b \cosh (x)+c \cosh ^2(x)} \, dx","Int[Cosh[x]^2/(a + b*Cosh[x] + c*Cosh[x]^2),x]","-\frac{2 \left(b-\frac{b^2-2 a c}{\sqrt{b^2-4 a c}}\right) \tanh ^{-1}\left(\frac{\tanh \left(\frac{x}{2}\right) \sqrt{-\sqrt{b^2-4 a c}+b-2 c}}{\sqrt{-\sqrt{b^2-4 a c}+b+2 c}}\right)}{c \sqrt{-\sqrt{b^2-4 a c}+b-2 c} \sqrt{-\sqrt{b^2-4 a c}+b+2 c}}-\frac{2 \left(\frac{b^2-2 a c}{\sqrt{b^2-4 a c}}+b\right) \tanh ^{-1}\left(\frac{\tanh \left(\frac{x}{2}\right) \sqrt{\sqrt{b^2-4 a c}+b-2 c}}{\sqrt{\sqrt{b^2-4 a c}+b+2 c}}\right)}{c \sqrt{\sqrt{b^2-4 a c}+b-2 c} \sqrt{\sqrt{b^2-4 a c}+b+2 c}}+\frac{x}{c}","-\frac{2 \left(b-\frac{b^2-2 a c}{\sqrt{b^2-4 a c}}\right) \tanh ^{-1}\left(\frac{\tanh \left(\frac{x}{2}\right) \sqrt{-\sqrt{b^2-4 a c}+b-2 c}}{\sqrt{-\sqrt{b^2-4 a c}+b+2 c}}\right)}{c \sqrt{-\sqrt{b^2-4 a c}+b-2 c} \sqrt{-\sqrt{b^2-4 a c}+b+2 c}}-\frac{2 \left(\frac{b^2-2 a c}{\sqrt{b^2-4 a c}}+b\right) \tanh ^{-1}\left(\frac{\tanh \left(\frac{x}{2}\right) \sqrt{\sqrt{b^2-4 a c}+b-2 c}}{\sqrt{\sqrt{b^2-4 a c}+b+2 c}}\right)}{c \sqrt{\sqrt{b^2-4 a c}+b-2 c} \sqrt{\sqrt{b^2-4 a c}+b+2 c}}+\frac{x}{c}",1,"x/c - (2*(b - (b^2 - 2*a*c)/Sqrt[b^2 - 4*a*c])*ArcTanh[(Sqrt[b - 2*c - Sqrt[b^2 - 4*a*c]]*Tanh[x/2])/Sqrt[b + 2*c - Sqrt[b^2 - 4*a*c]]])/(c*Sqrt[b - 2*c - Sqrt[b^2 - 4*a*c]]*Sqrt[b + 2*c - Sqrt[b^2 - 4*a*c]]) - (2*(b + (b^2 - 2*a*c)/Sqrt[b^2 - 4*a*c])*ArcTanh[(Sqrt[b - 2*c + Sqrt[b^2 - 4*a*c]]*Tanh[x/2])/Sqrt[b + 2*c + Sqrt[b^2 - 4*a*c]]])/(c*Sqrt[b - 2*c + Sqrt[b^2 - 4*a*c]]*Sqrt[b + 2*c + Sqrt[b^2 - 4*a*c]])","A",7,4,19,0.2105,1,"{3257, 3293, 2659, 208}"
835,1,299,0,6.3888773,"\int \frac{\cosh ^3(x)}{a+b \cosh (x)+c \cosh ^2(x)} \, dx","Int[Cosh[x]^3/(a + b*Cosh[x] + c*Cosh[x]^2),x]","\frac{2 \left(-\frac{b^3}{\sqrt{b^2-4 a c}}+\frac{3 a b c}{\sqrt{b^2-4 a c}}-a c+b^2\right) \tanh ^{-1}\left(\frac{\tanh \left(\frac{x}{2}\right) \sqrt{-\sqrt{b^2-4 a c}+b-2 c}}{\sqrt{-\sqrt{b^2-4 a c}+b+2 c}}\right)}{c^2 \sqrt{-\sqrt{b^2-4 a c}+b-2 c} \sqrt{-\sqrt{b^2-4 a c}+b+2 c}}+\frac{2 \left(\frac{b^3}{\sqrt{b^2-4 a c}}-\frac{3 a b c}{\sqrt{b^2-4 a c}}-a c+b^2\right) \tanh ^{-1}\left(\frac{\tanh \left(\frac{x}{2}\right) \sqrt{\sqrt{b^2-4 a c}+b-2 c}}{\sqrt{\sqrt{b^2-4 a c}+b+2 c}}\right)}{c^2 \sqrt{\sqrt{b^2-4 a c}+b-2 c} \sqrt{\sqrt{b^2-4 a c}+b+2 c}}-\frac{b x}{c^2}+\frac{\sinh (x)}{c}","\frac{2 \left(-\frac{b^3}{\sqrt{b^2-4 a c}}+\frac{3 a b c}{\sqrt{b^2-4 a c}}-a c+b^2\right) \tanh ^{-1}\left(\frac{\tanh \left(\frac{x}{2}\right) \sqrt{-\sqrt{b^2-4 a c}+b-2 c}}{\sqrt{-\sqrt{b^2-4 a c}+b+2 c}}\right)}{c^2 \sqrt{-\sqrt{b^2-4 a c}+b-2 c} \sqrt{-\sqrt{b^2-4 a c}+b+2 c}}+\frac{2 \left(\frac{b^3}{\sqrt{b^2-4 a c}}-\frac{3 a b c}{\sqrt{b^2-4 a c}}-a c+b^2\right) \tanh ^{-1}\left(\frac{\tanh \left(\frac{x}{2}\right) \sqrt{\sqrt{b^2-4 a c}+b-2 c}}{\sqrt{\sqrt{b^2-4 a c}+b+2 c}}\right)}{c^2 \sqrt{\sqrt{b^2-4 a c}+b-2 c} \sqrt{\sqrt{b^2-4 a c}+b+2 c}}-\frac{b x}{c^2}+\frac{\sinh (x)}{c}",1,"-((b*x)/c^2) + (2*(b^2 - a*c - b^3/Sqrt[b^2 - 4*a*c] + (3*a*b*c)/Sqrt[b^2 - 4*a*c])*ArcTanh[(Sqrt[b - 2*c - Sqrt[b^2 - 4*a*c]]*Tanh[x/2])/Sqrt[b + 2*c - Sqrt[b^2 - 4*a*c]]])/(c^2*Sqrt[b - 2*c - Sqrt[b^2 - 4*a*c]]*Sqrt[b + 2*c - Sqrt[b^2 - 4*a*c]]) + (2*(b^2 - a*c + b^3/Sqrt[b^2 - 4*a*c] - (3*a*b*c)/Sqrt[b^2 - 4*a*c])*ArcTanh[(Sqrt[b - 2*c + Sqrt[b^2 - 4*a*c]]*Tanh[x/2])/Sqrt[b + 2*c + Sqrt[b^2 - 4*a*c]]])/(c^2*Sqrt[b - 2*c + Sqrt[b^2 - 4*a*c]]*Sqrt[b + 2*c + Sqrt[b^2 - 4*a*c]]) + Sinh[x]/c","A",8,5,19,0.2632,1,"{3257, 2637, 3293, 2659, 208}"
836,1,11,0,0.086682,"\int \frac{a+b \cosh (x)}{b^2+2 a b \cosh (x)+a^2 \cosh ^2(x)} \, dx","Int[(a + b*Cosh[x])/(b^2 + 2*a*b*Cosh[x] + a^2*Cosh[x]^2),x]","\frac{\sinh (x)}{a \cosh (x)+b}","\frac{\sinh (x)}{a \cosh (x)+b}",1,"Sinh[x]/(b + a*Cosh[x])","A",3,3,27,0.1111,1,"{3289, 2754, 8}"
837,1,246,0,0.6821116,"\int \frac{d+e \cosh (x)}{a+b \cosh (x)+c \cosh ^2(x)} \, dx","Int[(d + e*Cosh[x])/(a + b*Cosh[x] + c*Cosh[x]^2),x]","\frac{2 \left(\frac{2 c d-b e}{\sqrt{b^2-4 a c}}+e\right) \tanh ^{-1}\left(\frac{\tanh \left(\frac{x}{2}\right) \sqrt{-\sqrt{b^2-4 a c}+b-2 c}}{\sqrt{-\sqrt{b^2-4 a c}+b+2 c}}\right)}{\sqrt{-\sqrt{b^2-4 a c}+b-2 c} \sqrt{-\sqrt{b^2-4 a c}+b+2 c}}+\frac{2 \left(e-\frac{2 c d-b e}{\sqrt{b^2-4 a c}}\right) \tanh ^{-1}\left(\frac{\tanh \left(\frac{x}{2}\right) \sqrt{\sqrt{b^2-4 a c}+b-2 c}}{\sqrt{\sqrt{b^2-4 a c}+b+2 c}}\right)}{\sqrt{\sqrt{b^2-4 a c}+b-2 c} \sqrt{\sqrt{b^2-4 a c}+b+2 c}}","\frac{2 \left(\frac{2 c d-b e}{\sqrt{b^2-4 a c}}+e\right) \tanh ^{-1}\left(\frac{\tanh \left(\frac{x}{2}\right) \sqrt{-\sqrt{b^2-4 a c}+b-2 c}}{\sqrt{-\sqrt{b^2-4 a c}+b+2 c}}\right)}{\sqrt{-\sqrt{b^2-4 a c}+b-2 c} \sqrt{-\sqrt{b^2-4 a c}+b+2 c}}+\frac{2 \left(e-\frac{2 c d-b e}{\sqrt{b^2-4 a c}}\right) \tanh ^{-1}\left(\frac{\tanh \left(\frac{x}{2}\right) \sqrt{\sqrt{b^2-4 a c}+b-2 c}}{\sqrt{\sqrt{b^2-4 a c}+b+2 c}}\right)}{\sqrt{\sqrt{b^2-4 a c}+b-2 c} \sqrt{\sqrt{b^2-4 a c}+b+2 c}}",1,"(2*(e + (2*c*d - b*e)/Sqrt[b^2 - 4*a*c])*ArcTanh[(Sqrt[b - 2*c - Sqrt[b^2 - 4*a*c]]*Tanh[x/2])/Sqrt[b + 2*c - Sqrt[b^2 - 4*a*c]]])/(Sqrt[b - 2*c - Sqrt[b^2 - 4*a*c]]*Sqrt[b + 2*c - Sqrt[b^2 - 4*a*c]]) + (2*(e - (2*c*d - b*e)/Sqrt[b^2 - 4*a*c])*ArcTanh[(Sqrt[b - 2*c + Sqrt[b^2 - 4*a*c]]*Tanh[x/2])/Sqrt[b + 2*c + Sqrt[b^2 - 4*a*c]]])/(Sqrt[b - 2*c + Sqrt[b^2 - 4*a*c]]*Sqrt[b + 2*c + Sqrt[b^2 - 4*a*c]])","A",5,3,21,0.1429,1,"{3293, 2659, 208}"
838,1,39,0,0.1513225,"\int \frac{\sinh ^2(x)}{a \cosh ^2(x)+b \sinh ^2(x)} \, dx","Int[Sinh[x]^2/(a*Cosh[x]^2 + b*Sinh[x]^2),x]","\frac{x}{a+b}-\frac{\sqrt{a} \tan ^{-1}\left(\frac{\sqrt{b} \tanh (x)}{\sqrt{a}}\right)}{\sqrt{b} (a+b)}","\frac{x}{a+b}-\frac{\sqrt{a} \tan ^{-1}\left(\frac{\sqrt{b} \tanh (x)}{\sqrt{a}}\right)}{\sqrt{b} (a+b)}",1,"x/(a + b) - (Sqrt[a]*ArcTan[(Sqrt[b]*Tanh[x])/Sqrt[a]])/(Sqrt[b]*(a + b))","A",4,3,20,0.1500,1,"{481, 207, 205}"
839,1,38,0,0.1121004,"\int \frac{\cosh ^2(x)}{a \cosh ^2(x)+b \sinh ^2(x)} \, dx","Int[Cosh[x]^2/(a*Cosh[x]^2 + b*Sinh[x]^2),x]","\frac{x}{a+b}+\frac{\sqrt{b} \tan ^{-1}\left(\frac{\sqrt{b} \tanh (x)}{\sqrt{a}}\right)}{\sqrt{a} (a+b)}","\frac{x}{a+b}+\frac{\sqrt{b} \tan ^{-1}\left(\frac{\sqrt{b} \tanh (x)}{\sqrt{a}}\right)}{\sqrt{a} (a+b)}",1,"x/(a + b) + (Sqrt[b]*ArcTan[(Sqrt[b]*Tanh[x])/Sqrt[a]])/(Sqrt[a]*(a + b))","A",4,3,20,0.1500,1,"{391, 206, 205}"
840,1,38,0,0.153718,"\int \frac{\sinh ^3(x)}{\cosh ^3(x)+\sinh ^3(x)} \, dx","Int[Sinh[x]^3/(Cosh[x]^3 + Sinh[x]^3),x]","\frac{x}{2}+\frac{1}{6 (\tanh (x)+1)}+\frac{2 \tan ^{-1}\left(\frac{1-2 \tanh (x)}{\sqrt{3}}\right)}{3 \sqrt{3}}","\frac{x}{2}+\frac{1}{6 (\tanh (x)+1)}+\frac{2 \tan ^{-1}\left(\frac{1-2 \tanh (x)}{\sqrt{3}}\right)}{3 \sqrt{3}}",1,"x/2 + (2*ArcTan[(1 - 2*Tanh[x])/Sqrt[3]])/(3*Sqrt[3]) + 1/(6*(1 + Tanh[x]))","A",6,4,16,0.2500,1,"{2074, 207, 618, 204}"
841,1,38,0,0.0924765,"\int \frac{\cosh ^3(x)}{\cosh ^3(x)+\sinh ^3(x)} \, dx","Int[Cosh[x]^3/(Cosh[x]^3 + Sinh[x]^3),x]","\frac{x}{2}-\frac{1}{6 (\tanh (x)+1)}-\frac{2 \tan ^{-1}\left(\frac{1-2 \tanh (x)}{\sqrt{3}}\right)}{3 \sqrt{3}}","\frac{x}{2}-\frac{1}{6 (\tanh (x)+1)}-\frac{2 \tan ^{-1}\left(\frac{1-2 \tanh (x)}{\sqrt{3}}\right)}{3 \sqrt{3}}",1,"x/2 - (2*ArcTan[(1 - 2*Tanh[x])/Sqrt[3]])/(3*Sqrt[3]) - 1/(6*(1 + Tanh[x]))","A",6,4,16,0.2500,1,"{2058, 207, 618, 204}"
842,1,59,0,0.7013555,"\int \frac{x \text{csch}(x) \text{sech}(x)}{\sqrt{a \text{sech}^2(x)}} \, dx","Int[(x*Csch[x]*Sech[x])/Sqrt[a*Sech[x]^2],x]","-\frac{\text{sech}(x) \text{PolyLog}\left(2,-e^x\right)}{\sqrt{a \text{sech}^2(x)}}+\frac{\text{sech}(x) \text{PolyLog}\left(2,e^x\right)}{\sqrt{a \text{sech}^2(x)}}-\frac{2 x \tanh ^{-1}\left(e^x\right) \text{sech}(x)}{\sqrt{a \text{sech}^2(x)}}","-\frac{\text{sech}(x) \text{PolyLog}\left(2,-e^x\right)}{\sqrt{a \text{sech}^2(x)}}+\frac{\text{sech}(x) \text{PolyLog}\left(2,e^x\right)}{\sqrt{a \text{sech}^2(x)}}-\frac{2 x \tanh ^{-1}\left(e^x\right) \text{sech}(x)}{\sqrt{a \text{sech}^2(x)}}",1,"(-2*x*ArcTanh[E^x]*Sech[x])/Sqrt[a*Sech[x]^2] - (PolyLog[2, -E^x]*Sech[x])/Sqrt[a*Sech[x]^2] + (PolyLog[2, E^x]*Sech[x])/Sqrt[a*Sech[x]^2]","A",6,4,16,0.2500,1,"{6720, 4182, 2279, 2391}"
843,1,104,0,0.8132225,"\int \frac{x^2 \text{csch}(x) \text{sech}(x)}{\sqrt{a \text{sech}^2(x)}} \, dx","Int[(x^2*Csch[x]*Sech[x])/Sqrt[a*Sech[x]^2],x]","-\frac{2 x \text{sech}(x) \text{PolyLog}\left(2,-e^x\right)}{\sqrt{a \text{sech}^2(x)}}+\frac{2 x \text{sech}(x) \text{PolyLog}\left(2,e^x\right)}{\sqrt{a \text{sech}^2(x)}}+\frac{2 \text{sech}(x) \text{PolyLog}\left(3,-e^x\right)}{\sqrt{a \text{sech}^2(x)}}-\frac{2 \text{sech}(x) \text{PolyLog}\left(3,e^x\right)}{\sqrt{a \text{sech}^2(x)}}-\frac{2 x^2 \tanh ^{-1}\left(e^x\right) \text{sech}(x)}{\sqrt{a \text{sech}^2(x)}}","-\frac{2 x \text{sech}(x) \text{PolyLog}\left(2,-e^x\right)}{\sqrt{a \text{sech}^2(x)}}+\frac{2 x \text{sech}(x) \text{PolyLog}\left(2,e^x\right)}{\sqrt{a \text{sech}^2(x)}}+\frac{2 \text{sech}(x) \text{PolyLog}\left(3,-e^x\right)}{\sqrt{a \text{sech}^2(x)}}-\frac{2 \text{sech}(x) \text{PolyLog}\left(3,e^x\right)}{\sqrt{a \text{sech}^2(x)}}-\frac{2 x^2 \tanh ^{-1}\left(e^x\right) \text{sech}(x)}{\sqrt{a \text{sech}^2(x)}}",1,"(-2*x^2*ArcTanh[E^x]*Sech[x])/Sqrt[a*Sech[x]^2] - (2*x*PolyLog[2, -E^x]*Sech[x])/Sqrt[a*Sech[x]^2] + (2*x*PolyLog[2, E^x]*Sech[x])/Sqrt[a*Sech[x]^2] + (2*PolyLog[3, -E^x]*Sech[x])/Sqrt[a*Sech[x]^2] - (2*PolyLog[3, E^x]*Sech[x])/Sqrt[a*Sech[x]^2]","A",8,5,18,0.2778,1,"{6720, 4182, 2531, 2282, 6589}"
844,1,150,0,0.8334242,"\int \frac{x^3 \text{csch}(x) \text{sech}(x)}{\sqrt{a \text{sech}^2(x)}} \, dx","Int[(x^3*Csch[x]*Sech[x])/Sqrt[a*Sech[x]^2],x]","-\frac{3 x^2 \text{sech}(x) \text{PolyLog}\left(2,-e^x\right)}{\sqrt{a \text{sech}^2(x)}}+\frac{3 x^2 \text{sech}(x) \text{PolyLog}\left(2,e^x\right)}{\sqrt{a \text{sech}^2(x)}}+\frac{6 x \text{sech}(x) \text{PolyLog}\left(3,-e^x\right)}{\sqrt{a \text{sech}^2(x)}}-\frac{6 x \text{sech}(x) \text{PolyLog}\left(3,e^x\right)}{\sqrt{a \text{sech}^2(x)}}-\frac{6 \text{sech}(x) \text{PolyLog}\left(4,-e^x\right)}{\sqrt{a \text{sech}^2(x)}}+\frac{6 \text{sech}(x) \text{PolyLog}\left(4,e^x\right)}{\sqrt{a \text{sech}^2(x)}}-\frac{2 x^3 \tanh ^{-1}\left(e^x\right) \text{sech}(x)}{\sqrt{a \text{sech}^2(x)}}","-\frac{3 x^2 \text{sech}(x) \text{PolyLog}\left(2,-e^x\right)}{\sqrt{a \text{sech}^2(x)}}+\frac{3 x^2 \text{sech}(x) \text{PolyLog}\left(2,e^x\right)}{\sqrt{a \text{sech}^2(x)}}+\frac{6 x \text{sech}(x) \text{PolyLog}\left(3,-e^x\right)}{\sqrt{a \text{sech}^2(x)}}-\frac{6 x \text{sech}(x) \text{PolyLog}\left(3,e^x\right)}{\sqrt{a \text{sech}^2(x)}}-\frac{6 \text{sech}(x) \text{PolyLog}\left(4,-e^x\right)}{\sqrt{a \text{sech}^2(x)}}+\frac{6 \text{sech}(x) \text{PolyLog}\left(4,e^x\right)}{\sqrt{a \text{sech}^2(x)}}-\frac{2 x^3 \tanh ^{-1}\left(e^x\right) \text{sech}(x)}{\sqrt{a \text{sech}^2(x)}}",1,"(-2*x^3*ArcTanh[E^x]*Sech[x])/Sqrt[a*Sech[x]^2] - (3*x^2*PolyLog[2, -E^x]*Sech[x])/Sqrt[a*Sech[x]^2] + (3*x^2*PolyLog[2, E^x]*Sech[x])/Sqrt[a*Sech[x]^2] + (6*x*PolyLog[3, -E^x]*Sech[x])/Sqrt[a*Sech[x]^2] - (6*x*PolyLog[3, E^x]*Sech[x])/Sqrt[a*Sech[x]^2] - (6*PolyLog[4, -E^x]*Sech[x])/Sqrt[a*Sech[x]^2] + (6*PolyLog[4, E^x]*Sech[x])/Sqrt[a*Sech[x]^2]","A",10,6,18,0.3333,1,"{6720, 4182, 2531, 6609, 2282, 6589}"
845,1,73,0,0.5556185,"\int \frac{x \text{csch}(x) \text{sech}(x)}{\sqrt{a \text{sech}^4(x)}} \, dx","Int[(x*Csch[x]*Sech[x])/Sqrt[a*Sech[x]^4],x]","\frac{\text{sech}^2(x) \text{PolyLog}\left(2,e^{2 x}\right)}{2 \sqrt{a \text{sech}^4(x)}}-\frac{x^2 \text{sech}^2(x)}{2 \sqrt{a \text{sech}^4(x)}}+\frac{x \log \left(1-e^{2 x}\right) \text{sech}^2(x)}{\sqrt{a \text{sech}^4(x)}}","\frac{\text{sech}^2(x) \text{PolyLog}\left(2,e^{2 x}\right)}{2 \sqrt{a \text{sech}^4(x)}}-\frac{x^2 \text{sech}^2(x)}{2 \sqrt{a \text{sech}^4(x)}}+\frac{x \log \left(1-e^{2 x}\right) \text{sech}^2(x)}{\sqrt{a \text{sech}^4(x)}}",1,"-(x^2*Sech[x]^2)/(2*Sqrt[a*Sech[x]^4]) + (x*Log[1 - E^(2*x)]*Sech[x]^2)/Sqrt[a*Sech[x]^4] + (PolyLog[2, E^(2*x)]*Sech[x]^2)/(2*Sqrt[a*Sech[x]^4])","A",5,5,16,0.3125,1,"{6720, 3716, 2190, 2279, 2391}"
846,1,98,0,0.6081808,"\int \frac{x^2 \text{csch}(x) \text{sech}(x)}{\sqrt{a \text{sech}^4(x)}} \, dx","Int[(x^2*Csch[x]*Sech[x])/Sqrt[a*Sech[x]^4],x]","\frac{x \text{sech}^2(x) \text{PolyLog}\left(2,e^{2 x}\right)}{\sqrt{a \text{sech}^4(x)}}-\frac{\text{sech}^2(x) \text{PolyLog}\left(3,e^{2 x}\right)}{2 \sqrt{a \text{sech}^4(x)}}-\frac{x^3 \text{sech}^2(x)}{3 \sqrt{a \text{sech}^4(x)}}+\frac{x^2 \log \left(1-e^{2 x}\right) \text{sech}^2(x)}{\sqrt{a \text{sech}^4(x)}}","\frac{x \text{sech}^2(x) \text{PolyLog}\left(2,e^{2 x}\right)}{\sqrt{a \text{sech}^4(x)}}-\frac{\text{sech}^2(x) \text{PolyLog}\left(3,e^{2 x}\right)}{2 \sqrt{a \text{sech}^4(x)}}-\frac{x^3 \text{sech}^2(x)}{3 \sqrt{a \text{sech}^4(x)}}+\frac{x^2 \log \left(1-e^{2 x}\right) \text{sech}^2(x)}{\sqrt{a \text{sech}^4(x)}}",1,"-(x^3*Sech[x]^2)/(3*Sqrt[a*Sech[x]^4]) + (x^2*Log[1 - E^(2*x)]*Sech[x]^2)/Sqrt[a*Sech[x]^4] + (x*PolyLog[2, E^(2*x)]*Sech[x]^2)/Sqrt[a*Sech[x]^4] - (PolyLog[3, E^(2*x)]*Sech[x]^2)/(2*Sqrt[a*Sech[x]^4])","A",6,6,18,0.3333,1,"{6720, 3716, 2190, 2531, 2282, 6589}"
847,1,129,0,0.5537724,"\int \frac{x^3 \text{csch}(x) \text{sech}(x)}{\sqrt{a \text{sech}^4(x)}} \, dx","Int[(x^3*Csch[x]*Sech[x])/Sqrt[a*Sech[x]^4],x]","\frac{3 x^2 \text{sech}^2(x) \text{PolyLog}\left(2,e^{2 x}\right)}{2 \sqrt{a \text{sech}^4(x)}}-\frac{3 x \text{sech}^2(x) \text{PolyLog}\left(3,e^{2 x}\right)}{2 \sqrt{a \text{sech}^4(x)}}+\frac{3 \text{sech}^2(x) \text{PolyLog}\left(4,e^{2 x}\right)}{4 \sqrt{a \text{sech}^4(x)}}-\frac{x^4 \text{sech}^2(x)}{4 \sqrt{a \text{sech}^4(x)}}+\frac{x^3 \log \left(1-e^{2 x}\right) \text{sech}^2(x)}{\sqrt{a \text{sech}^4(x)}}","\frac{3 x^2 \text{sech}^2(x) \text{PolyLog}\left(2,e^{2 x}\right)}{2 \sqrt{a \text{sech}^4(x)}}-\frac{3 x \text{sech}^2(x) \text{PolyLog}\left(3,e^{2 x}\right)}{2 \sqrt{a \text{sech}^4(x)}}+\frac{3 \text{sech}^2(x) \text{PolyLog}\left(4,e^{2 x}\right)}{4 \sqrt{a \text{sech}^4(x)}}-\frac{x^4 \text{sech}^2(x)}{4 \sqrt{a \text{sech}^4(x)}}+\frac{x^3 \log \left(1-e^{2 x}\right) \text{sech}^2(x)}{\sqrt{a \text{sech}^4(x)}}",1,"-(x^4*Sech[x]^2)/(4*Sqrt[a*Sech[x]^4]) + (x^3*Log[1 - E^(2*x)]*Sech[x]^2)/Sqrt[a*Sech[x]^4] + (3*x^2*PolyLog[2, E^(2*x)]*Sech[x]^2)/(2*Sqrt[a*Sech[x]^4]) - (3*x*PolyLog[3, E^(2*x)]*Sech[x]^2)/(2*Sqrt[a*Sech[x]^4]) + (3*PolyLog[4, E^(2*x)]*Sech[x]^2)/(4*Sqrt[a*Sech[x]^4])","A",7,7,18,0.3889,1,"{6720, 3716, 2190, 2531, 6609, 2282, 6589}"
848,1,88,0,0.3596165,"\int x \text{csch}(x) \text{sech}(x) \sqrt{a \text{sech}^2(x)} \, dx","Int[x*Csch[x]*Sech[x]*Sqrt[a*Sech[x]^2],x]","-\cosh (x) \text{PolyLog}\left(2,-e^x\right) \sqrt{a \text{sech}^2(x)}+\cosh (x) \text{PolyLog}\left(2,e^x\right) \sqrt{a \text{sech}^2(x)}+x \sqrt{a \text{sech}^2(x)}-2 x \cosh (x) \tanh ^{-1}\left(e^x\right) \sqrt{a \text{sech}^2(x)}-\cosh (x) \sqrt{a \text{sech}^2(x)} \tan ^{-1}(\sinh (x))","-\cosh (x) \text{PolyLog}\left(2,-e^x\right) \sqrt{a \text{sech}^2(x)}+\cosh (x) \text{PolyLog}\left(2,e^x\right) \sqrt{a \text{sech}^2(x)}+x \sqrt{a \text{sech}^2(x)}-2 x \cosh (x) \tanh ^{-1}\left(e^x\right) \sqrt{a \text{sech}^2(x)}-\cosh (x) \sqrt{a \text{sech}^2(x)} \tan ^{-1}(\sinh (x))",1,"x*Sqrt[a*Sech[x]^2] - ArcTan[Sinh[x]]*Cosh[x]*Sqrt[a*Sech[x]^2] - 2*x*ArcTanh[E^x]*Cosh[x]*Sqrt[a*Sech[x]^2] - Cosh[x]*PolyLog[2, -E^x]*Sqrt[a*Sech[x]^2] + Cosh[x]*PolyLog[2, E^x]*Sqrt[a*Sech[x]^2]","A",10,10,16,0.6250,1,"{6720, 2622, 321, 207, 5462, 6271, 4182, 2279, 2391, 3770}"
849,1,187,0,0.5123861,"\int x^2 \text{csch}(x) \text{sech}(x) \sqrt{a \text{sech}^2(x)} \, dx","Int[x^2*Csch[x]*Sech[x]*Sqrt[a*Sech[x]^2],x]","-2 x \cosh (x) \text{PolyLog}\left(2,-e^x\right) \sqrt{a \text{sech}^2(x)}+2 x \cosh (x) \text{PolyLog}\left(2,e^x\right) \sqrt{a \text{sech}^2(x)}+2 i \cosh (x) \text{PolyLog}\left(2,-i e^x\right) \sqrt{a \text{sech}^2(x)}-2 i \cosh (x) \text{PolyLog}\left(2,i e^x\right) \sqrt{a \text{sech}^2(x)}+2 \cosh (x) \text{PolyLog}\left(3,-e^x\right) \sqrt{a \text{sech}^2(x)}-2 \cosh (x) \text{PolyLog}\left(3,e^x\right) \sqrt{a \text{sech}^2(x)}+x^2 \sqrt{a \text{sech}^2(x)}-2 x^2 \cosh (x) \tanh ^{-1}\left(e^x\right) \sqrt{a \text{sech}^2(x)}-4 x \tan ^{-1}\left(e^x\right) \cosh (x) \sqrt{a \text{sech}^2(x)}","-2 x \cosh (x) \text{PolyLog}\left(2,-e^x\right) \sqrt{a \text{sech}^2(x)}+2 x \cosh (x) \text{PolyLog}\left(2,e^x\right) \sqrt{a \text{sech}^2(x)}+2 i \cosh (x) \text{PolyLog}\left(2,-i e^x\right) \sqrt{a \text{sech}^2(x)}-2 i \cosh (x) \text{PolyLog}\left(2,i e^x\right) \sqrt{a \text{sech}^2(x)}+2 \cosh (x) \text{PolyLog}\left(3,-e^x\right) \sqrt{a \text{sech}^2(x)}-2 \cosh (x) \text{PolyLog}\left(3,e^x\right) \sqrt{a \text{sech}^2(x)}+x^2 \sqrt{a \text{sech}^2(x)}-2 x^2 \cosh (x) \tanh ^{-1}\left(e^x\right) \sqrt{a \text{sech}^2(x)}-4 x \tan ^{-1}\left(e^x\right) \cosh (x) \sqrt{a \text{sech}^2(x)}",1,"x^2*Sqrt[a*Sech[x]^2] - 4*x*ArcTan[E^x]*Cosh[x]*Sqrt[a*Sech[x]^2] - 2*x^2*ArcTanh[E^x]*Cosh[x]*Sqrt[a*Sech[x]^2] - 2*x*Cosh[x]*PolyLog[2, -E^x]*Sqrt[a*Sech[x]^2] + (2*I)*Cosh[x]*PolyLog[2, (-I)*E^x]*Sqrt[a*Sech[x]^2] - (2*I)*Cosh[x]*PolyLog[2, I*E^x]*Sqrt[a*Sech[x]^2] + 2*x*Cosh[x]*PolyLog[2, E^x]*Sqrt[a*Sech[x]^2] + 2*Cosh[x]*PolyLog[3, -E^x]*Sqrt[a*Sech[x]^2] - 2*Cosh[x]*PolyLog[3, E^x]*Sqrt[a*Sech[x]^2]","A",17,14,18,0.7778,1,"{6720, 2622, 321, 207, 5462, 14, 6273, 4182, 2531, 2282, 6589, 4180, 2279, 2391}"
850,1,287,0,0.6734146,"\int x^3 \text{csch}(x) \text{sech}(x) \sqrt{a \text{sech}^2(x)} \, dx","Int[x^3*Csch[x]*Sech[x]*Sqrt[a*Sech[x]^2],x]","-3 x^2 \cosh (x) \text{PolyLog}\left(2,-e^x\right) \sqrt{a \text{sech}^2(x)}+3 x^2 \cosh (x) \text{PolyLog}\left(2,e^x\right) \sqrt{a \text{sech}^2(x)}+6 i x \cosh (x) \text{PolyLog}\left(2,-i e^x\right) \sqrt{a \text{sech}^2(x)}-6 i x \cosh (x) \text{PolyLog}\left(2,i e^x\right) \sqrt{a \text{sech}^2(x)}+6 x \cosh (x) \text{PolyLog}\left(3,-e^x\right) \sqrt{a \text{sech}^2(x)}-6 x \cosh (x) \text{PolyLog}\left(3,e^x\right) \sqrt{a \text{sech}^2(x)}-6 i \cosh (x) \text{PolyLog}\left(3,-i e^x\right) \sqrt{a \text{sech}^2(x)}+6 i \cosh (x) \text{PolyLog}\left(3,i e^x\right) \sqrt{a \text{sech}^2(x)}-6 \cosh (x) \text{PolyLog}\left(4,-e^x\right) \sqrt{a \text{sech}^2(x)}+6 \cosh (x) \text{PolyLog}\left(4,e^x\right) \sqrt{a \text{sech}^2(x)}+x^3 \sqrt{a \text{sech}^2(x)}-6 x^2 \tan ^{-1}\left(e^x\right) \cosh (x) \sqrt{a \text{sech}^2(x)}-2 x^3 \cosh (x) \tanh ^{-1}\left(e^x\right) \sqrt{a \text{sech}^2(x)}","-3 x^2 \cosh (x) \text{PolyLog}\left(2,-e^x\right) \sqrt{a \text{sech}^2(x)}+3 x^2 \cosh (x) \text{PolyLog}\left(2,e^x\right) \sqrt{a \text{sech}^2(x)}+6 i x \cosh (x) \text{PolyLog}\left(2,-i e^x\right) \sqrt{a \text{sech}^2(x)}-6 i x \cosh (x) \text{PolyLog}\left(2,i e^x\right) \sqrt{a \text{sech}^2(x)}+6 x \cosh (x) \text{PolyLog}\left(3,-e^x\right) \sqrt{a \text{sech}^2(x)}-6 x \cosh (x) \text{PolyLog}\left(3,e^x\right) \sqrt{a \text{sech}^2(x)}-6 i \cosh (x) \text{PolyLog}\left(3,-i e^x\right) \sqrt{a \text{sech}^2(x)}+6 i \cosh (x) \text{PolyLog}\left(3,i e^x\right) \sqrt{a \text{sech}^2(x)}-6 \cosh (x) \text{PolyLog}\left(4,-e^x\right) \sqrt{a \text{sech}^2(x)}+6 \cosh (x) \text{PolyLog}\left(4,e^x\right) \sqrt{a \text{sech}^2(x)}+x^3 \sqrt{a \text{sech}^2(x)}-6 x^2 \tan ^{-1}\left(e^x\right) \cosh (x) \sqrt{a \text{sech}^2(x)}-2 x^3 \cosh (x) \tanh ^{-1}\left(e^x\right) \sqrt{a \text{sech}^2(x)}",1,"x^3*Sqrt[a*Sech[x]^2] - 6*x^2*ArcTan[E^x]*Cosh[x]*Sqrt[a*Sech[x]^2] - 2*x^3*ArcTanh[E^x]*Cosh[x]*Sqrt[a*Sech[x]^2] - 3*x^2*Cosh[x]*PolyLog[2, -E^x]*Sqrt[a*Sech[x]^2] + (6*I)*x*Cosh[x]*PolyLog[2, (-I)*E^x]*Sqrt[a*Sech[x]^2] - (6*I)*x*Cosh[x]*PolyLog[2, I*E^x]*Sqrt[a*Sech[x]^2] + 3*x^2*Cosh[x]*PolyLog[2, E^x]*Sqrt[a*Sech[x]^2] + 6*x*Cosh[x]*PolyLog[3, -E^x]*Sqrt[a*Sech[x]^2] - (6*I)*Cosh[x]*PolyLog[3, (-I)*E^x]*Sqrt[a*Sech[x]^2] + (6*I)*Cosh[x]*PolyLog[3, I*E^x]*Sqrt[a*Sech[x]^2] - 6*x*Cosh[x]*PolyLog[3, E^x]*Sqrt[a*Sech[x]^2] - 6*Cosh[x]*PolyLog[4, -E^x]*Sqrt[a*Sech[x]^2] + 6*Cosh[x]*PolyLog[4, E^x]*Sqrt[a*Sech[x]^2]","A",21,13,18,0.7222,1,"{6720, 2622, 321, 207, 5462, 14, 6273, 4182, 2531, 6609, 2282, 6589, 4180}"
851,1,132,0,0.4071893,"\int x \text{csch}(x) \text{sech}(x) \sqrt{a \text{sech}^4(x)} \, dx","Int[x*Csch[x]*Sech[x]*Sqrt[a*Sech[x]^4],x]","-\frac{1}{2} \cosh ^2(x) \text{PolyLog}\left(2,-e^{2 x}\right) \sqrt{a \text{sech}^4(x)}+\frac{1}{2} \cosh ^2(x) \text{PolyLog}\left(2,e^{2 x}\right) \sqrt{a \text{sech}^4(x)}+\frac{1}{2} x \cosh ^2(x) \sqrt{a \text{sech}^4(x)}-\frac{1}{2} x \sinh ^2(x) \sqrt{a \text{sech}^4(x)}-2 x \cosh ^2(x) \tanh ^{-1}\left(e^{2 x}\right) \sqrt{a \text{sech}^4(x)}-\frac{1}{2} \sinh (x) \cosh (x) \sqrt{a \text{sech}^4(x)}","-\frac{1}{2} \cosh ^2(x) \text{PolyLog}\left(2,-e^{2 x}\right) \sqrt{a \text{sech}^4(x)}+\frac{1}{2} \cosh ^2(x) \text{PolyLog}\left(2,e^{2 x}\right) \sqrt{a \text{sech}^4(x)}+\frac{1}{2} x \cosh ^2(x) \sqrt{a \text{sech}^4(x)}-\frac{1}{2} x \sinh ^2(x) \sqrt{a \text{sech}^4(x)}-2 x \cosh ^2(x) \tanh ^{-1}\left(e^{2 x}\right) \sqrt{a \text{sech}^4(x)}-\frac{1}{2} \sinh (x) \cosh (x) \sqrt{a \text{sech}^4(x)}",1,"(x*Cosh[x]^2*Sqrt[a*Sech[x]^4])/2 - 2*x*ArcTanh[E^(2*x)]*Cosh[x]^2*Sqrt[a*Sech[x]^4] - (Cosh[x]^2*PolyLog[2, -E^(2*x)]*Sqrt[a*Sech[x]^4])/2 + (Cosh[x]^2*PolyLog[2, E^(2*x)]*Sqrt[a*Sech[x]^4])/2 - (Cosh[x]*Sqrt[a*Sech[x]^4]*Sinh[x])/2 - (x*Sqrt[a*Sech[x]^4]*Sinh[x]^2)/2","A",12,11,16,0.6875,1,"{6720, 2620, 14, 5462, 2548, 5461, 4182, 2279, 2391, 3473, 8}"
852,1,204,0,0.6384154,"\int x^2 \text{csch}(x) \text{sech}(x) \sqrt{a \text{sech}^4(x)} \, dx","Int[x^2*Csch[x]*Sech[x]*Sqrt[a*Sech[x]^4],x]","-x \cosh ^2(x) \text{PolyLog}\left(2,-e^{2 x}\right) \sqrt{a \text{sech}^4(x)}+x \cosh ^2(x) \text{PolyLog}\left(2,e^{2 x}\right) \sqrt{a \text{sech}^4(x)}+\frac{1}{2} \cosh ^2(x) \text{PolyLog}\left(3,-e^{2 x}\right) \sqrt{a \text{sech}^4(x)}-\frac{1}{2} \cosh ^2(x) \text{PolyLog}\left(3,e^{2 x}\right) \sqrt{a \text{sech}^4(x)}+\frac{1}{2} x^2 \cosh ^2(x) \sqrt{a \text{sech}^4(x)}-\frac{1}{2} x^2 \sinh ^2(x) \sqrt{a \text{sech}^4(x)}-2 x^2 \cosh ^2(x) \tanh ^{-1}\left(e^{2 x}\right) \sqrt{a \text{sech}^4(x)}+\cosh ^2(x) \sqrt{a \text{sech}^4(x)} \log (\cosh (x))-x \sinh (x) \cosh (x) \sqrt{a \text{sech}^4(x)}","-x \cosh ^2(x) \text{PolyLog}\left(2,-e^{2 x}\right) \sqrt{a \text{sech}^4(x)}+x \cosh ^2(x) \text{PolyLog}\left(2,e^{2 x}\right) \sqrt{a \text{sech}^4(x)}+\frac{1}{2} \cosh ^2(x) \text{PolyLog}\left(3,-e^{2 x}\right) \sqrt{a \text{sech}^4(x)}-\frac{1}{2} \cosh ^2(x) \text{PolyLog}\left(3,e^{2 x}\right) \sqrt{a \text{sech}^4(x)}+\frac{1}{2} x^2 \cosh ^2(x) \sqrt{a \text{sech}^4(x)}-\frac{1}{2} x^2 \sinh ^2(x) \sqrt{a \text{sech}^4(x)}-2 x^2 \cosh ^2(x) \tanh ^{-1}\left(e^{2 x}\right) \sqrt{a \text{sech}^4(x)}+\cosh ^2(x) \sqrt{a \text{sech}^4(x)} \log (\cosh (x))-x \sinh (x) \cosh (x) \sqrt{a \text{sech}^4(x)}",1,"(x^2*Cosh[x]^2*Sqrt[a*Sech[x]^4])/2 - 2*x^2*ArcTanh[E^(2*x)]*Cosh[x]^2*Sqrt[a*Sech[x]^4] + Cosh[x]^2*Log[Cosh[x]]*Sqrt[a*Sech[x]^4] - x*Cosh[x]^2*PolyLog[2, -E^(2*x)]*Sqrt[a*Sech[x]^4] + x*Cosh[x]^2*PolyLog[2, E^(2*x)]*Sqrt[a*Sech[x]^4] + (Cosh[x]^2*PolyLog[3, -E^(2*x)]*Sqrt[a*Sech[x]^4])/2 - (Cosh[x]^2*PolyLog[3, E^(2*x)]*Sqrt[a*Sech[x]^4])/2 - x*Cosh[x]*Sqrt[a*Sech[x]^4]*Sinh[x] - (x^2*Sqrt[a*Sech[x]^4]*Sinh[x]^2)/2","A",16,13,18,0.7222,1,"{6720, 2620, 14, 5462, 2551, 5461, 4182, 2531, 2282, 6589, 3720, 3475, 30}"
853,1,326,0,0.6827793,"\int x^3 \text{csch}(x) \text{sech}(x) \sqrt{a \text{sech}^4(x)} \, dx","Int[x^3*Csch[x]*Sech[x]*Sqrt[a*Sech[x]^4],x]","-\frac{3}{2} x^2 \cosh ^2(x) \text{PolyLog}\left(2,-e^{2 x}\right) \sqrt{a \text{sech}^4(x)}+\frac{3}{2} x^2 \cosh ^2(x) \text{PolyLog}\left(2,e^{2 x}\right) \sqrt{a \text{sech}^4(x)}+\frac{3}{2} x \cosh ^2(x) \text{PolyLog}\left(3,-e^{2 x}\right) \sqrt{a \text{sech}^4(x)}-\frac{3}{2} x \cosh ^2(x) \text{PolyLog}\left(3,e^{2 x}\right) \sqrt{a \text{sech}^4(x)}+\frac{3}{2} \cosh ^2(x) \text{PolyLog}\left(2,-e^{2 x}\right) \sqrt{a \text{sech}^4(x)}-\frac{3}{4} \cosh ^2(x) \text{PolyLog}\left(4,-e^{2 x}\right) \sqrt{a \text{sech}^4(x)}+\frac{3}{4} \cosh ^2(x) \text{PolyLog}\left(4,e^{2 x}\right) \sqrt{a \text{sech}^4(x)}+\frac{1}{2} x^3 \cosh ^2(x) \sqrt{a \text{sech}^4(x)}-\frac{3}{2} x^2 \cosh ^2(x) \sqrt{a \text{sech}^4(x)}-\frac{1}{2} x^3 \sinh ^2(x) \sqrt{a \text{sech}^4(x)}-2 x^3 \cosh ^2(x) \tanh ^{-1}\left(e^{2 x}\right) \sqrt{a \text{sech}^4(x)}-\frac{3}{2} x^2 \sinh (x) \cosh (x) \sqrt{a \text{sech}^4(x)}+3 x \log \left(e^{2 x}+1\right) \cosh ^2(x) \sqrt{a \text{sech}^4(x)}","-\frac{3}{2} x^2 \cosh ^2(x) \text{PolyLog}\left(2,-e^{2 x}\right) \sqrt{a \text{sech}^4(x)}+\frac{3}{2} x^2 \cosh ^2(x) \text{PolyLog}\left(2,e^{2 x}\right) \sqrt{a \text{sech}^4(x)}+\frac{3}{2} x \cosh ^2(x) \text{PolyLog}\left(3,-e^{2 x}\right) \sqrt{a \text{sech}^4(x)}-\frac{3}{2} x \cosh ^2(x) \text{PolyLog}\left(3,e^{2 x}\right) \sqrt{a \text{sech}^4(x)}+\frac{3}{2} \cosh ^2(x) \text{PolyLog}\left(2,-e^{2 x}\right) \sqrt{a \text{sech}^4(x)}-\frac{3}{4} \cosh ^2(x) \text{PolyLog}\left(4,-e^{2 x}\right) \sqrt{a \text{sech}^4(x)}+\frac{3}{4} \cosh ^2(x) \text{PolyLog}\left(4,e^{2 x}\right) \sqrt{a \text{sech}^4(x)}+\frac{1}{2} x^3 \cosh ^2(x) \sqrt{a \text{sech}^4(x)}-\frac{3}{2} x^2 \cosh ^2(x) \sqrt{a \text{sech}^4(x)}-\frac{1}{2} x^3 \sinh ^2(x) \sqrt{a \text{sech}^4(x)}-2 x^3 \cosh ^2(x) \tanh ^{-1}\left(e^{2 x}\right) \sqrt{a \text{sech}^4(x)}-\frac{3}{2} x^2 \sinh (x) \cosh (x) \sqrt{a \text{sech}^4(x)}+3 x \log \left(e^{2 x}+1\right) \cosh ^2(x) \sqrt{a \text{sech}^4(x)}",1,"(-3*x^2*Cosh[x]^2*Sqrt[a*Sech[x]^4])/2 + (x^3*Cosh[x]^2*Sqrt[a*Sech[x]^4])/2 - 2*x^3*ArcTanh[E^(2*x)]*Cosh[x]^2*Sqrt[a*Sech[x]^4] + 3*x*Cosh[x]^2*Log[1 + E^(2*x)]*Sqrt[a*Sech[x]^4] + (3*Cosh[x]^2*PolyLog[2, -E^(2*x)]*Sqrt[a*Sech[x]^4])/2 - (3*x^2*Cosh[x]^2*PolyLog[2, -E^(2*x)]*Sqrt[a*Sech[x]^4])/2 + (3*x^2*Cosh[x]^2*PolyLog[2, E^(2*x)]*Sqrt[a*Sech[x]^4])/2 + (3*x*Cosh[x]^2*PolyLog[3, -E^(2*x)]*Sqrt[a*Sech[x]^4])/2 - (3*x*Cosh[x]^2*PolyLog[3, E^(2*x)]*Sqrt[a*Sech[x]^4])/2 - (3*Cosh[x]^2*PolyLog[4, -E^(2*x)]*Sqrt[a*Sech[x]^4])/4 + (3*Cosh[x]^2*PolyLog[4, E^(2*x)]*Sqrt[a*Sech[x]^4])/4 - (3*x^2*Cosh[x]*Sqrt[a*Sech[x]^4]*Sinh[x])/2 - (x^3*Sqrt[a*Sech[x]^4]*Sinh[x]^2)/2","A",21,17,18,0.9444,1,"{6720, 2620, 14, 5462, 2551, 5461, 4182, 2531, 6609, 2282, 6589, 3720, 3718, 2190, 2279, 2391, 30}"
854,1,147,0,0.1299112,"\int (a+b \cosh (c+d x) \sinh (c+d x))^m \, dx","Int[(a + b*Cosh[c + d*x]*Sinh[c + d*x])^m,x]","\frac{i \cosh (2 c+2 d x) \left(a+\frac{1}{2} b \sinh (2 c+2 d x)\right)^m \left(\frac{2 a+b \sinh (2 c+2 d x)}{2 a-i b}\right)^{-m} F_1\left(\frac{1}{2};\frac{1}{2},-m;\frac{3}{2};\frac{1}{2} (1-i \sinh (2 c+2 d x)),\frac{b (1-i \sinh (2 c+2 d x))}{2 i a+b}\right)}{\sqrt{2} d \sqrt{1+i \sinh (2 c+2 d x)}}","\frac{i \cosh (2 c+2 d x) \left(a+\frac{1}{2} b \sinh (2 c+2 d x)\right)^m \left(\frac{2 a+b \sinh (2 c+2 d x)}{2 a-i b}\right)^{-m} F_1\left(\frac{1}{2};\frac{1}{2},-m;\frac{3}{2};\frac{1}{2} (1-i \sinh (2 c+2 d x)),\frac{b (1-i \sinh (2 c+2 d x))}{2 i a+b}\right)}{\sqrt{2} d \sqrt{1+i \sinh (2 c+2 d x)}}",1,"(I*AppellF1[1/2, 1/2, -m, 3/2, (1 - I*Sinh[2*c + 2*d*x])/2, (b*(1 - I*Sinh[2*c + 2*d*x]))/((2*I)*a + b)]*Cosh[2*c + 2*d*x]*(a + (b*Sinh[2*c + 2*d*x])/2)^m)/(Sqrt[2]*d*Sqrt[1 + I*Sinh[2*c + 2*d*x]]*((2*a + b*Sinh[2*c + 2*d*x])/(2*a - I*b))^m)","A",4,4,18,0.2222,1,"{2666, 2665, 139, 138}"
855,1,109,0,0.0988748,"\int (a+b \cosh (c+d x) \sinh (c+d x))^3 \, dx","Int[(a + b*Cosh[c + d*x]*Sinh[c + d*x])^3,x]","\frac{b \left(16 a^2-b^2\right) \cosh (2 c+2 d x)}{24 d}+\frac{1}{8} a x \left(8 a^2-3 b^2\right)+\frac{5 a b^2 \sinh (2 c+2 d x) \cosh (2 c+2 d x)}{48 d}+\frac{b \cosh (2 c+2 d x) (2 a+b \sinh (2 c+2 d x))^2}{48 d}","\frac{b \left(16 a^2-b^2\right) \cosh (2 c+2 d x)}{24 d}+\frac{1}{8} a x \left(8 a^2-3 b^2\right)+\frac{5 a b^2 \sinh (2 c+2 d x) \cosh (2 c+2 d x)}{48 d}+\frac{b \cosh (2 c+2 d x) (2 a+b \sinh (2 c+2 d x))^2}{48 d}",1,"(a*(8*a^2 - 3*b^2)*x)/8 + (b*(16*a^2 - b^2)*Cosh[2*c + 2*d*x])/(24*d) + (5*a*b^2*Cosh[2*c + 2*d*x]*Sinh[2*c + 2*d*x])/(48*d) + (b*Cosh[2*c + 2*d*x]*(2*a + b*Sinh[2*c + 2*d*x])^2)/(48*d)","A",3,3,18,0.1667,1,"{2666, 2656, 2734}"
856,1,63,0,0.0354427,"\int (a+b \cosh (c+d x) \sinh (c+d x))^2 \, dx","Int[(a + b*Cosh[c + d*x]*Sinh[c + d*x])^2,x]","\frac{1}{8} x \left(8 a^2-b^2\right)+\frac{a b \cosh (2 c+2 d x)}{2 d}+\frac{b^2 \sinh (2 c+2 d x) \cosh (2 c+2 d x)}{16 d}","\frac{1}{8} x \left(8 a^2-b^2\right)+\frac{a b \cosh (2 c+2 d x)}{2 d}+\frac{b^2 \sinh (2 c+2 d x) \cosh (2 c+2 d x)}{16 d}",1,"((8*a^2 - b^2)*x)/8 + (a*b*Cosh[2*c + 2*d*x])/(2*d) + (b^2*Cosh[2*c + 2*d*x]*Sinh[2*c + 2*d*x])/(16*d)","A",2,2,18,0.1111,1,"{2666, 2644}"
857,1,20,0,0.0187967,"\int (a+b \cosh (c+d x) \sinh (c+d x)) \, dx","Int[a + b*Cosh[c + d*x]*Sinh[c + d*x],x]","a x+\frac{b \sinh ^2(c+d x)}{2 d}","a x+\frac{b \sinh ^2(c+d x)}{2 d}",1,"a*x + (b*Sinh[c + d*x]^2)/(2*d)","A",3,2,16,0.1250,1,"{2564, 30}"
858,1,44,0,0.1231939,"\int \frac{1}{a+b \cosh (c+d x) \sinh (c+d x)} \, dx","Int[(a + b*Cosh[c + d*x]*Sinh[c + d*x])^(-1),x]","-\frac{2 \tanh ^{-1}\left(\frac{b-2 a \tanh (c+d x)}{\sqrt{4 a^2+b^2}}\right)}{d \sqrt{4 a^2+b^2}}","-\frac{2 \tanh ^{-1}\left(\frac{b-2 a \tanh (c+d x)}{\sqrt{4 a^2+b^2}}\right)}{d \sqrt{4 a^2+b^2}}",1,"(-2*ArcTanh[(b - 2*a*Tanh[c + d*x])/Sqrt[4*a^2 + b^2]])/(Sqrt[4*a^2 + b^2]*d)","A",4,4,18,0.2222,1,"{2666, 2660, 618, 204}"
859,1,89,0,0.1039614,"\int \frac{1}{(a+b \cosh (c+d x) \sinh (c+d x))^2} \, dx","Int[(a + b*Cosh[c + d*x]*Sinh[c + d*x])^(-2),x]","-\frac{8 a \tanh ^{-1}\left(\frac{b-2 a \tanh (c+d x)}{\sqrt{4 a^2+b^2}}\right)}{d \left(4 a^2+b^2\right)^{3/2}}-\frac{2 b \cosh (2 c+2 d x)}{d \left(4 a^2+b^2\right) (2 a+b \sinh (2 c+2 d x))}","-\frac{8 a \tanh ^{-1}\left(\frac{b-2 a \tanh (c+d x)}{\sqrt{4 a^2+b^2}}\right)}{d \left(4 a^2+b^2\right)^{3/2}}-\frac{2 b \cosh (2 c+2 d x)}{d \left(4 a^2+b^2\right) (2 a+b \sinh (2 c+2 d x))}",1,"(-8*a*ArcTanh[(b - 2*a*Tanh[c + d*x])/Sqrt[4*a^2 + b^2]])/((4*a^2 + b^2)^(3/2)*d) - (2*b*Cosh[2*c + 2*d*x])/((4*a^2 + b^2)*d*(2*a + b*Sinh[2*c + 2*d*x]))","A",6,6,18,0.3333,1,"{2666, 2664, 12, 2660, 618, 204}"
860,1,143,0,0.1718527,"\int \frac{1}{(a+b \cosh (c+d x) \sinh (c+d x))^3} \, dx","Int[(a + b*Cosh[c + d*x]*Sinh[c + d*x])^(-3),x]","-\frac{4 \left(8 a^2-b^2\right) \tanh ^{-1}\left(\frac{b-2 a \tanh (c+d x)}{\sqrt{4 a^2+b^2}}\right)}{d \left(4 a^2+b^2\right)^{5/2}}-\frac{12 a b \cosh (2 c+2 d x)}{d \left(4 a^2+b^2\right)^2 (2 a+b \sinh (2 c+2 d x))}-\frac{2 b \cosh (2 c+2 d x)}{d \left(4 a^2+b^2\right) (2 a+b \sinh (2 c+2 d x))^2}","-\frac{4 \left(8 a^2-b^2\right) \tanh ^{-1}\left(\frac{b-2 a \tanh (c+d x)}{\sqrt{4 a^2+b^2}}\right)}{d \left(4 a^2+b^2\right)^{5/2}}-\frac{12 a b \cosh (2 c+2 d x)}{d \left(4 a^2+b^2\right)^2 (2 a+b \sinh (2 c+2 d x))}-\frac{2 b \cosh (2 c+2 d x)}{d \left(4 a^2+b^2\right) (2 a+b \sinh (2 c+2 d x))^2}",1,"(-4*(8*a^2 - b^2)*ArcTanh[(b - 2*a*Tanh[c + d*x])/Sqrt[4*a^2 + b^2]])/((4*a^2 + b^2)^(5/2)*d) - (2*b*Cosh[2*c + 2*d*x])/((4*a^2 + b^2)*d*(2*a + b*Sinh[2*c + 2*d*x])^2) - (12*a*b*Cosh[2*c + 2*d*x])/((4*a^2 + b^2)^2*d*(2*a + b*Sinh[2*c + 2*d*x]))","A",7,7,18,0.3889,1,"{2666, 2664, 2754, 12, 2660, 618, 204}"
861,1,301,0,0.3918898,"\int (a+b \cosh (c+d x) \sinh (c+d x))^{5/2} \, dx","Int[(a + b*Cosh[c + d*x]*Sinh[c + d*x])^(5/2),x]","\frac{2 i \sqrt{2} a \left(4 a^2+b^2\right) \sqrt{\frac{2 a+b \sinh (2 c+2 d x)}{2 a-i b}} F\left(\frac{1}{2} \left(2 i c+2 i d x-\frac{\pi }{2}\right)|\frac{2 b}{2 i a+b}\right)}{15 d \sqrt{2 a+b \sinh (2 c+2 d x)}}-\frac{i \left(92 a^2-9 b^2\right) \sqrt{2 a+b \sinh (2 c+2 d x)} E\left(\frac{1}{2} \left(2 i c+2 i d x-\frac{\pi }{2}\right)|\frac{2 b}{2 i a+b}\right)}{60 \sqrt{2} d \sqrt{\frac{2 a+b \sinh (2 c+2 d x)}{2 a-i b}}}+\frac{b \cosh (2 c+2 d x) (2 a+b \sinh (2 c+2 d x))^{3/2}}{20 \sqrt{2} d}+\frac{2 \sqrt{2} a b \cosh (2 c+2 d x) \sqrt{2 a+b \sinh (2 c+2 d x)}}{15 d}","\frac{2 i \sqrt{2} a \left(4 a^2+b^2\right) \sqrt{\frac{2 a+b \sinh (2 c+2 d x)}{2 a-i b}} F\left(\frac{1}{2} \left(2 i c+2 i d x-\frac{\pi }{2}\right)|\frac{2 b}{2 i a+b}\right)}{15 d \sqrt{2 a+b \sinh (2 c+2 d x)}}-\frac{i \left(92 a^2-9 b^2\right) \sqrt{2 a+b \sinh (2 c+2 d x)} E\left(\frac{1}{2} \left(2 i c+2 i d x-\frac{\pi }{2}\right)|\frac{2 b}{2 i a+b}\right)}{60 \sqrt{2} d \sqrt{\frac{2 a+b \sinh (2 c+2 d x)}{2 a-i b}}}+\frac{b \cosh (2 c+2 d x) (2 a+b \sinh (2 c+2 d x))^{3/2}}{20 \sqrt{2} d}+\frac{2 \sqrt{2} a b \cosh (2 c+2 d x) \sqrt{2 a+b \sinh (2 c+2 d x)}}{15 d}",1,"(2*Sqrt[2]*a*b*Cosh[2*c + 2*d*x]*Sqrt[2*a + b*Sinh[2*c + 2*d*x]])/(15*d) + (b*Cosh[2*c + 2*d*x]*(2*a + b*Sinh[2*c + 2*d*x])^(3/2))/(20*Sqrt[2]*d) - ((I/60)*(92*a^2 - 9*b^2)*EllipticE[((2*I)*c - Pi/2 + (2*I)*d*x)/2, (2*b)/((2*I)*a + b)]*Sqrt[2*a + b*Sinh[2*c + 2*d*x]])/(Sqrt[2]*d*Sqrt[(2*a + b*Sinh[2*c + 2*d*x])/(2*a - I*b)]) + (((2*I)/15)*Sqrt[2]*a*(4*a^2 + b^2)*EllipticF[((2*I)*c - Pi/2 + (2*I)*d*x)/2, (2*b)/((2*I)*a + b)]*Sqrt[(2*a + b*Sinh[2*c + 2*d*x])/(2*a - I*b)])/(d*Sqrt[2*a + b*Sinh[2*c + 2*d*x]])","A",8,8,20,0.4000,1,"{2666, 2656, 2753, 2752, 2663, 2661, 2655, 2653}"
862,1,248,0,0.2530671,"\int (a+b \cosh (c+d x) \sinh (c+d x))^{3/2} \, dx","Int[(a + b*Cosh[c + d*x]*Sinh[c + d*x])^(3/2),x]","\frac{i \left(4 a^2+b^2\right) \sqrt{\frac{2 a+b \sinh (2 c+2 d x)}{2 a-i b}} F\left(\frac{1}{2} \left(2 i c+2 i d x-\frac{\pi }{2}\right)|\frac{2 b}{2 i a+b}\right)}{6 \sqrt{2} d \sqrt{2 a+b \sinh (2 c+2 d x)}}+\frac{b \cosh (2 c+2 d x) \sqrt{2 a+b \sinh (2 c+2 d x)}}{6 \sqrt{2} d}-\frac{2 i \sqrt{2} a \sqrt{2 a+b \sinh (2 c+2 d x)} E\left(\frac{1}{2} \left(2 i c+2 i d x-\frac{\pi }{2}\right)|\frac{2 b}{2 i a+b}\right)}{3 d \sqrt{\frac{2 a+b \sinh (2 c+2 d x)}{2 a-i b}}}","\frac{i \left(4 a^2+b^2\right) \sqrt{\frac{2 a+b \sinh (2 c+2 d x)}{2 a-i b}} F\left(\frac{1}{2} \left(2 i c+2 i d x-\frac{\pi }{2}\right)|\frac{2 b}{2 i a+b}\right)}{6 \sqrt{2} d \sqrt{2 a+b \sinh (2 c+2 d x)}}+\frac{b \cosh (2 c+2 d x) \sqrt{2 a+b \sinh (2 c+2 d x)}}{6 \sqrt{2} d}-\frac{2 i \sqrt{2} a \sqrt{2 a+b \sinh (2 c+2 d x)} E\left(\frac{1}{2} \left(2 i c+2 i d x-\frac{\pi }{2}\right)|\frac{2 b}{2 i a+b}\right)}{3 d \sqrt{\frac{2 a+b \sinh (2 c+2 d x)}{2 a-i b}}}",1,"(b*Cosh[2*c + 2*d*x]*Sqrt[2*a + b*Sinh[2*c + 2*d*x]])/(6*Sqrt[2]*d) - (((2*I)/3)*Sqrt[2]*a*EllipticE[((2*I)*c - Pi/2 + (2*I)*d*x)/2, (2*b)/((2*I)*a + b)]*Sqrt[2*a + b*Sinh[2*c + 2*d*x]])/(d*Sqrt[(2*a + b*Sinh[2*c + 2*d*x])/(2*a - I*b)]) + ((I/6)*(4*a^2 + b^2)*EllipticF[((2*I)*c - Pi/2 + (2*I)*d*x)/2, (2*b)/((2*I)*a + b)]*Sqrt[(2*a + b*Sinh[2*c + 2*d*x])/(2*a - I*b)])/(Sqrt[2]*d*Sqrt[2*a + b*Sinh[2*c + 2*d*x]])","A",7,7,20,0.3500,1,"{2666, 2656, 2752, 2663, 2661, 2655, 2653}"
863,1,96,0,0.0726453,"\int \sqrt{a+b \cosh (c+d x) \sinh (c+d x)} \, dx","Int[Sqrt[a + b*Cosh[c + d*x]*Sinh[c + d*x]],x]","-\frac{i \sqrt{2 a+b \sinh (2 c+2 d x)} E\left(\frac{1}{2} \left(2 i c+2 i d x-\frac{\pi }{2}\right)|\frac{2 b}{2 i a+b}\right)}{\sqrt{2} d \sqrt{\frac{2 a+b \sinh (2 c+2 d x)}{2 a-i b}}}","-\frac{i \sqrt{2 a+b \sinh (2 c+2 d x)} E\left(\frac{1}{2} \left(2 i c+2 i d x-\frac{\pi }{2}\right)|\frac{2 b}{2 i a+b}\right)}{\sqrt{2} d \sqrt{\frac{2 a+b \sinh (2 c+2 d x)}{2 a-i b}}}",1,"((-I)*EllipticE[((2*I)*c - Pi/2 + (2*I)*d*x)/2, (2*b)/((2*I)*a + b)]*Sqrt[2*a + b*Sinh[2*c + 2*d*x]])/(Sqrt[2]*d*Sqrt[(2*a + b*Sinh[2*c + 2*d*x])/(2*a - I*b)])","A",3,3,20,0.1500,1,"{2666, 2655, 2653}"
864,1,96,0,0.0784631,"\int \frac{1}{\sqrt{a+b \cosh (c+d x) \sinh (c+d x)}} \, dx","Int[1/Sqrt[a + b*Cosh[c + d*x]*Sinh[c + d*x]],x]","-\frac{i \sqrt{2} \sqrt{\frac{2 a+b \sinh (2 c+2 d x)}{2 a-i b}} F\left(\frac{1}{2} \left(2 i c+2 i d x-\frac{\pi }{2}\right)|\frac{2 b}{2 i a+b}\right)}{d \sqrt{2 a+b \sinh (2 c+2 d x)}}","-\frac{i \sqrt{2} \sqrt{\frac{2 a+b \sinh (2 c+2 d x)}{2 a-i b}} F\left(\frac{1}{2} \left(2 i c+2 i d x-\frac{\pi }{2}\right)|\frac{2 b}{2 i a+b}\right)}{d \sqrt{2 a+b \sinh (2 c+2 d x)}}",1,"((-I)*Sqrt[2]*EllipticF[((2*I)*c - Pi/2 + (2*I)*d*x)/2, (2*b)/((2*I)*a + b)]*Sqrt[(2*a + b*Sinh[2*c + 2*d*x])/(2*a - I*b)])/(d*Sqrt[2*a + b*Sinh[2*c + 2*d*x]])","A",3,3,20,0.1500,1,"{2666, 2663, 2661}"
865,1,158,0,0.1133458,"\int \frac{1}{(a+b \cosh (c+d x) \sinh (c+d x))^{3/2}} \, dx","Int[(a + b*Cosh[c + d*x]*Sinh[c + d*x])^(-3/2),x]","-\frac{2 \sqrt{2} b \cosh (2 c+2 d x)}{d \left(4 a^2+b^2\right) \sqrt{2 a+b \sinh (2 c+2 d x)}}-\frac{2 i \sqrt{2} \sqrt{2 a+b \sinh (2 c+2 d x)} E\left(\frac{1}{2} \left(2 i c+2 i d x-\frac{\pi }{2}\right)|\frac{2 b}{2 i a+b}\right)}{d \left(4 a^2+b^2\right) \sqrt{\frac{2 a+b \sinh (2 c+2 d x)}{2 a-i b}}}","-\frac{2 \sqrt{2} b \cosh (2 c+2 d x)}{d \left(4 a^2+b^2\right) \sqrt{2 a+b \sinh (2 c+2 d x)}}-\frac{2 i \sqrt{2} \sqrt{2 a+b \sinh (2 c+2 d x)} E\left(\frac{1}{2} \left(2 i c+2 i d x-\frac{\pi }{2}\right)|\frac{2 b}{2 i a+b}\right)}{d \left(4 a^2+b^2\right) \sqrt{\frac{2 a+b \sinh (2 c+2 d x)}{2 a-i b}}}",1,"(-2*Sqrt[2]*b*Cosh[2*c + 2*d*x])/((4*a^2 + b^2)*d*Sqrt[2*a + b*Sinh[2*c + 2*d*x]]) - ((2*I)*Sqrt[2]*EllipticE[((2*I)*c - Pi/2 + (2*I)*d*x)/2, (2*b)/((2*I)*a + b)]*Sqrt[2*a + b*Sinh[2*c + 2*d*x]])/((4*a^2 + b^2)*d*Sqrt[(2*a + b*Sinh[2*c + 2*d*x])/(2*a - I*b)])","A",5,5,20,0.2500,1,"{2666, 2664, 21, 2655, 2653}"
866,1,325,0,0.3807798,"\int \frac{1}{(a+b \cosh (c+d x) \sinh (c+d x))^{5/2}} \, dx","Int[(a + b*Cosh[c + d*x]*Sinh[c + d*x])^(-5/2),x]","-\frac{32 \sqrt{2} a b \cosh (2 c+2 d x)}{3 d \left(4 a^2+b^2\right)^2 \sqrt{2 a+b \sinh (2 c+2 d x)}}-\frac{4 \sqrt{2} b \cosh (2 c+2 d x)}{3 d \left(4 a^2+b^2\right) (2 a+b \sinh (2 c+2 d x))^{3/2}}+\frac{4 i \sqrt{2} \sqrt{\frac{2 a+b \sinh (2 c+2 d x)}{2 a-i b}} F\left(\frac{1}{2} \left(2 i c+2 i d x-\frac{\pi }{2}\right)|\frac{2 b}{2 i a+b}\right)}{3 d \left(4 a^2+b^2\right) \sqrt{2 a+b \sinh (2 c+2 d x)}}-\frac{32 i \sqrt{2} a \sqrt{2 a+b \sinh (2 c+2 d x)} E\left(\frac{1}{2} \left(2 i c+2 i d x-\frac{\pi }{2}\right)|\frac{2 b}{2 i a+b}\right)}{3 d \left(4 a^2+b^2\right)^2 \sqrt{\frac{2 a+b \sinh (2 c+2 d x)}{2 a-i b}}}","-\frac{32 \sqrt{2} a b \cosh (2 c+2 d x)}{3 d \left(4 a^2+b^2\right)^2 \sqrt{2 a+b \sinh (2 c+2 d x)}}-\frac{4 \sqrt{2} b \cosh (2 c+2 d x)}{3 d \left(4 a^2+b^2\right) (2 a+b \sinh (2 c+2 d x))^{3/2}}+\frac{4 i \sqrt{2} \sqrt{\frac{2 a+b \sinh (2 c+2 d x)}{2 a-i b}} F\left(\frac{1}{2} \left(2 i c+2 i d x-\frac{\pi }{2}\right)|\frac{2 b}{2 i a+b}\right)}{3 d \left(4 a^2+b^2\right) \sqrt{2 a+b \sinh (2 c+2 d x)}}-\frac{32 i \sqrt{2} a \sqrt{2 a+b \sinh (2 c+2 d x)} E\left(\frac{1}{2} \left(2 i c+2 i d x-\frac{\pi }{2}\right)|\frac{2 b}{2 i a+b}\right)}{3 d \left(4 a^2+b^2\right)^2 \sqrt{\frac{2 a+b \sinh (2 c+2 d x)}{2 a-i b}}}",1,"(-4*Sqrt[2]*b*Cosh[2*c + 2*d*x])/(3*(4*a^2 + b^2)*d*(2*a + b*Sinh[2*c + 2*d*x])^(3/2)) - (32*Sqrt[2]*a*b*Cosh[2*c + 2*d*x])/(3*(4*a^2 + b^2)^2*d*Sqrt[2*a + b*Sinh[2*c + 2*d*x]]) - (((32*I)/3)*Sqrt[2]*a*EllipticE[((2*I)*c - Pi/2 + (2*I)*d*x)/2, (2*b)/((2*I)*a + b)]*Sqrt[2*a + b*Sinh[2*c + 2*d*x]])/((4*a^2 + b^2)^2*d*Sqrt[(2*a + b*Sinh[2*c + 2*d*x])/(2*a - I*b)]) + (((4*I)/3)*Sqrt[2]*EllipticF[((2*I)*c - Pi/2 + (2*I)*d*x)/2, (2*b)/((2*I)*a + b)]*Sqrt[(2*a + b*Sinh[2*c + 2*d*x])/(2*a - I*b)])/((4*a^2 + b^2)*d*Sqrt[2*a + b*Sinh[2*c + 2*d*x]])","A",8,8,20,0.4000,1,"{2666, 2664, 2754, 2752, 2663, 2661, 2655, 2653}"
867,1,386,0,0.6044683,"\int \frac{x^3}{a+b \cosh (x) \sinh (x)} \, dx","Int[x^3/(a + b*Cosh[x]*Sinh[x]),x]","\frac{3 x^2 \text{PolyLog}\left(2,-\frac{b e^{2 x}}{2 a-\sqrt{4 a^2+b^2}}\right)}{2 \sqrt{4 a^2+b^2}}-\frac{3 x^2 \text{PolyLog}\left(2,-\frac{b e^{2 x}}{\sqrt{4 a^2+b^2}+2 a}\right)}{2 \sqrt{4 a^2+b^2}}-\frac{3 x \text{PolyLog}\left(3,-\frac{b e^{2 x}}{2 a-\sqrt{4 a^2+b^2}}\right)}{2 \sqrt{4 a^2+b^2}}+\frac{3 x \text{PolyLog}\left(3,-\frac{b e^{2 x}}{\sqrt{4 a^2+b^2}+2 a}\right)}{2 \sqrt{4 a^2+b^2}}+\frac{3 \text{PolyLog}\left(4,-\frac{b e^{2 x}}{2 a-\sqrt{4 a^2+b^2}}\right)}{4 \sqrt{4 a^2+b^2}}-\frac{3 \text{PolyLog}\left(4,-\frac{b e^{2 x}}{\sqrt{4 a^2+b^2}+2 a}\right)}{4 \sqrt{4 a^2+b^2}}+\frac{x^3 \log \left(\frac{b e^{2 x}}{2 a-\sqrt{4 a^2+b^2}}+1\right)}{\sqrt{4 a^2+b^2}}-\frac{x^3 \log \left(\frac{b e^{2 x}}{\sqrt{4 a^2+b^2}+2 a}+1\right)}{\sqrt{4 a^2+b^2}}","\frac{3 x^2 \text{PolyLog}\left(2,-\frac{b e^{2 x}}{2 a-\sqrt{4 a^2+b^2}}\right)}{2 \sqrt{4 a^2+b^2}}-\frac{3 x^2 \text{PolyLog}\left(2,-\frac{b e^{2 x}}{\sqrt{4 a^2+b^2}+2 a}\right)}{2 \sqrt{4 a^2+b^2}}-\frac{3 x \text{PolyLog}\left(3,-\frac{b e^{2 x}}{2 a-\sqrt{4 a^2+b^2}}\right)}{2 \sqrt{4 a^2+b^2}}+\frac{3 x \text{PolyLog}\left(3,-\frac{b e^{2 x}}{\sqrt{4 a^2+b^2}+2 a}\right)}{2 \sqrt{4 a^2+b^2}}+\frac{3 \text{PolyLog}\left(4,-\frac{b e^{2 x}}{2 a-\sqrt{4 a^2+b^2}}\right)}{4 \sqrt{4 a^2+b^2}}-\frac{3 \text{PolyLog}\left(4,-\frac{b e^{2 x}}{\sqrt{4 a^2+b^2}+2 a}\right)}{4 \sqrt{4 a^2+b^2}}+\frac{x^3 \log \left(\frac{b e^{2 x}}{2 a-\sqrt{4 a^2+b^2}}+1\right)}{\sqrt{4 a^2+b^2}}-\frac{x^3 \log \left(\frac{b e^{2 x}}{\sqrt{4 a^2+b^2}+2 a}+1\right)}{\sqrt{4 a^2+b^2}}",1,"(x^3*Log[1 + (b*E^(2*x))/(2*a - Sqrt[4*a^2 + b^2])])/Sqrt[4*a^2 + b^2] - (x^3*Log[1 + (b*E^(2*x))/(2*a + Sqrt[4*a^2 + b^2])])/Sqrt[4*a^2 + b^2] + (3*x^2*PolyLog[2, -((b*E^(2*x))/(2*a - Sqrt[4*a^2 + b^2]))])/(2*Sqrt[4*a^2 + b^2]) - (3*x^2*PolyLog[2, -((b*E^(2*x))/(2*a + Sqrt[4*a^2 + b^2]))])/(2*Sqrt[4*a^2 + b^2]) - (3*x*PolyLog[3, -((b*E^(2*x))/(2*a - Sqrt[4*a^2 + b^2]))])/(2*Sqrt[4*a^2 + b^2]) + (3*x*PolyLog[3, -((b*E^(2*x))/(2*a + Sqrt[4*a^2 + b^2]))])/(2*Sqrt[4*a^2 + b^2]) + (3*PolyLog[4, -((b*E^(2*x))/(2*a - Sqrt[4*a^2 + b^2]))])/(4*Sqrt[4*a^2 + b^2]) - (3*PolyLog[4, -((b*E^(2*x))/(2*a + Sqrt[4*a^2 + b^2]))])/(4*Sqrt[4*a^2 + b^2])","A",13,8,14,0.5714,1,"{5628, 3322, 2264, 2190, 2531, 6609, 2282, 6589}"
868,1,281,0,0.5150223,"\int \frac{x^2}{a+b \cosh (x) \sinh (x)} \, dx","Int[x^2/(a + b*Cosh[x]*Sinh[x]),x]","\frac{x \text{PolyLog}\left(2,-\frac{b e^{2 x}}{2 a-\sqrt{4 a^2+b^2}}\right)}{\sqrt{4 a^2+b^2}}-\frac{x \text{PolyLog}\left(2,-\frac{b e^{2 x}}{\sqrt{4 a^2+b^2}+2 a}\right)}{\sqrt{4 a^2+b^2}}-\frac{\text{PolyLog}\left(3,-\frac{b e^{2 x}}{2 a-\sqrt{4 a^2+b^2}}\right)}{2 \sqrt{4 a^2+b^2}}+\frac{\text{PolyLog}\left(3,-\frac{b e^{2 x}}{\sqrt{4 a^2+b^2}+2 a}\right)}{2 \sqrt{4 a^2+b^2}}+\frac{x^2 \log \left(\frac{b e^{2 x}}{2 a-\sqrt{4 a^2+b^2}}+1\right)}{\sqrt{4 a^2+b^2}}-\frac{x^2 \log \left(\frac{b e^{2 x}}{\sqrt{4 a^2+b^2}+2 a}+1\right)}{\sqrt{4 a^2+b^2}}","\frac{x \text{PolyLog}\left(2,-\frac{b e^{2 x}}{2 a-\sqrt{4 a^2+b^2}}\right)}{\sqrt{4 a^2+b^2}}-\frac{x \text{PolyLog}\left(2,-\frac{b e^{2 x}}{\sqrt{4 a^2+b^2}+2 a}\right)}{\sqrt{4 a^2+b^2}}-\frac{\text{PolyLog}\left(3,-\frac{b e^{2 x}}{2 a-\sqrt{4 a^2+b^2}}\right)}{2 \sqrt{4 a^2+b^2}}+\frac{\text{PolyLog}\left(3,-\frac{b e^{2 x}}{\sqrt{4 a^2+b^2}+2 a}\right)}{2 \sqrt{4 a^2+b^2}}+\frac{x^2 \log \left(\frac{b e^{2 x}}{2 a-\sqrt{4 a^2+b^2}}+1\right)}{\sqrt{4 a^2+b^2}}-\frac{x^2 \log \left(\frac{b e^{2 x}}{\sqrt{4 a^2+b^2}+2 a}+1\right)}{\sqrt{4 a^2+b^2}}",1,"(x^2*Log[1 + (b*E^(2*x))/(2*a - Sqrt[4*a^2 + b^2])])/Sqrt[4*a^2 + b^2] - (x^2*Log[1 + (b*E^(2*x))/(2*a + Sqrt[4*a^2 + b^2])])/Sqrt[4*a^2 + b^2] + (x*PolyLog[2, -((b*E^(2*x))/(2*a - Sqrt[4*a^2 + b^2]))])/Sqrt[4*a^2 + b^2] - (x*PolyLog[2, -((b*E^(2*x))/(2*a + Sqrt[4*a^2 + b^2]))])/Sqrt[4*a^2 + b^2] - PolyLog[3, -((b*E^(2*x))/(2*a - Sqrt[4*a^2 + b^2]))]/(2*Sqrt[4*a^2 + b^2]) + PolyLog[3, -((b*E^(2*x))/(2*a + Sqrt[4*a^2 + b^2]))]/(2*Sqrt[4*a^2 + b^2])","A",11,7,14,0.5000,1,"{5628, 3322, 2264, 2190, 2531, 2282, 6589}"
869,1,186,0,0.30264,"\int \frac{x}{a+b \cosh (x) \sinh (x)} \, dx","Int[x/(a + b*Cosh[x]*Sinh[x]),x]","\frac{\text{PolyLog}\left(2,-\frac{b e^{2 x}}{2 a-\sqrt{4 a^2+b^2}}\right)}{2 \sqrt{4 a^2+b^2}}-\frac{\text{PolyLog}\left(2,-\frac{b e^{2 x}}{\sqrt{4 a^2+b^2}+2 a}\right)}{2 \sqrt{4 a^2+b^2}}+\frac{x \log \left(\frac{b e^{2 x}}{2 a-\sqrt{4 a^2+b^2}}+1\right)}{\sqrt{4 a^2+b^2}}-\frac{x \log \left(\frac{b e^{2 x}}{\sqrt{4 a^2+b^2}+2 a}+1\right)}{\sqrt{4 a^2+b^2}}","\frac{\text{PolyLog}\left(2,-\frac{b e^{2 x}}{2 a-\sqrt{4 a^2+b^2}}\right)}{2 \sqrt{4 a^2+b^2}}-\frac{\text{PolyLog}\left(2,-\frac{b e^{2 x}}{\sqrt{4 a^2+b^2}+2 a}\right)}{2 \sqrt{4 a^2+b^2}}+\frac{x \log \left(\frac{b e^{2 x}}{2 a-\sqrt{4 a^2+b^2}}+1\right)}{\sqrt{4 a^2+b^2}}-\frac{x \log \left(\frac{b e^{2 x}}{\sqrt{4 a^2+b^2}+2 a}+1\right)}{\sqrt{4 a^2+b^2}}",1,"(x*Log[1 + (b*E^(2*x))/(2*a - Sqrt[4*a^2 + b^2])])/Sqrt[4*a^2 + b^2] - (x*Log[1 + (b*E^(2*x))/(2*a + Sqrt[4*a^2 + b^2])])/Sqrt[4*a^2 + b^2] + PolyLog[2, -((b*E^(2*x))/(2*a - Sqrt[4*a^2 + b^2]))]/(2*Sqrt[4*a^2 + b^2]) - PolyLog[2, -((b*E^(2*x))/(2*a + Sqrt[4*a^2 + b^2]))]/(2*Sqrt[4*a^2 + b^2])","A",9,6,12,0.5000,1,"{5628, 3322, 2264, 2190, 2279, 2391}"
870,0,0,0,0.0939793,"\int \frac{1}{x (a+b \cosh (x) \sinh (x))} \, dx","Int[1/(x*(a + b*Cosh[x]*Sinh[x])),x]","\int \frac{1}{x (a+b \cosh (x) \sinh (x))} \, dx","\text{Int}\left(\frac{1}{x \left(a+\frac{1}{2} b \sinh (2 x)\right)},x\right)",0,"Defer[Int][1/(x*(a + (b*Sinh[2*x])/2)), x]","A",0,0,0,0,-1,"{}"
871,1,95,0,0.148316,"\int F^{c (a+b x)} \sinh ^n(d+e x) \, dx","Int[F^(c*(a + b*x))*Sinh[d + e*x]^n,x]","-\frac{\left(1-e^{2 (d+e x)}\right)^{-n} F^{c (a+b x)} \sinh ^n(d+e x) \, _2F_1\left(-n,-\frac{e n-b c \log (F)}{2 e};\frac{1}{2} \left(-n+\frac{b c \log (F)}{e}+2\right);e^{2 (d+e x)}\right)}{e n-b c \log (F)}","-\frac{\left(1-e^{2 (d+e x)}\right)^{-n} F^{c (a+b x)} \sinh ^n(d+e x) \, _2F_1\left(-n,-\frac{e n-b c \log (F)}{2 e};\frac{1}{2} \left(-n+\frac{b c \log (F)}{e}+2\right);e^{2 (d+e x)}\right)}{e n-b c \log (F)}",1,"-((F^(c*(a + b*x))*Hypergeometric2F1[-n, -(e*n - b*c*Log[F])/(2*e), (2 - n + (b*c*Log[F])/e)/2, E^(2*(d + e*x))]*Sinh[d + e*x]^n)/((1 - E^(2*(d + e*x)))^n*(e*n - b*c*Log[F])))","A",2,2,18,0.1111,1,"{5482, 2259}"
872,1,66,0,0.0360092,"\int e^{2 (a+b x)} \sinh ^3(a+b x) \, dx","Int[E^(2*(a + b*x))*Sinh[a + b*x]^3,x]","\frac{e^{-a-b x}}{8 b}+\frac{3 e^{a+b x}}{8 b}-\frac{e^{3 a+3 b x}}{8 b}+\frac{e^{5 a+5 b x}}{40 b}","\frac{e^{-a-b x}}{8 b}+\frac{3 e^{a+b x}}{8 b}-\frac{e^{3 a+3 b x}}{8 b}+\frac{e^{5 a+5 b x}}{40 b}",1,"E^(-a - b*x)/(8*b) + (3*E^(a + b*x))/(8*b) - E^(3*a + 3*b*x)/(8*b) + E^(5*a + 5*b*x)/(40*b)","A",4,3,18,0.1667,1,"{2282, 12, 270}"
873,1,40,0,0.035378,"\int e^{2 (a+b x)} \sinh ^2(a+b x) \, dx","Int[E^(2*(a + b*x))*Sinh[a + b*x]^2,x]","-\frac{e^{2 a+2 b x}}{4 b}+\frac{e^{4 a+4 b x}}{16 b}+\frac{x}{4}","-\frac{e^{2 a+2 b x}}{4 b}+\frac{e^{4 a+4 b x}}{16 b}+\frac{x}{4}",1,"-E^(2*a + 2*b*x)/(4*b) + E^(4*a + 4*b*x)/(16*b) + x/4","A",5,4,18,0.2222,1,"{2282, 12, 266, 43}"
874,1,32,0,0.0173545,"\int e^{2 (a+b x)} \sinh (a+b x) \, dx","Int[E^(2*(a + b*x))*Sinh[a + b*x],x]","\frac{e^{3 a+3 b x}}{6 b}-\frac{e^{a+b x}}{2 b}","\frac{e^{3 a+3 b x}}{6 b}-\frac{e^{a+b x}}{2 b}",1,"-E^(a + b*x)/(2*b) + E^(3*a + 3*b*x)/(6*b)","A",3,2,16,0.1250,1,"{2282, 12}"
875,1,26,0,0.0180458,"\int e^{2 (a+b x)} \text{csch}(a+b x) \, dx","Int[E^(2*(a + b*x))*Csch[a + b*x],x]","\frac{2 e^{a+b x}}{b}-\frac{2 \tanh ^{-1}\left(e^{a+b x}\right)}{b}","\frac{2 e^{a+b x}}{b}-\frac{2 \tanh ^{-1}\left(e^{a+b x}\right)}{b}",1,"(2*E^(a + b*x))/b - (2*ArcTanh[E^(a + b*x)])/b","A",4,4,16,0.2500,1,"{2282, 12, 321, 207}"
876,1,42,0,0.0427926,"\int e^{2 (a+b x)} \text{csch}^2(a+b x) \, dx","Int[E^(2*(a + b*x))*Csch[a + b*x]^2,x]","\frac{2}{b \left(1-e^{2 a+2 b x}\right)}+\frac{2 \log \left(1-e^{2 a+2 b x}\right)}{b}","\frac{2}{b \left(1-e^{2 a+2 b x}\right)}+\frac{2 \log \left(1-e^{2 a+2 b x}\right)}{b}",1,"2/(b*(1 - E^(2*a + 2*b*x))) + (2*Log[1 - E^(2*a + 2*b*x)])/b","A",5,4,18,0.2222,1,"{2282, 12, 266, 43}"
877,1,73,0,0.044398,"\int e^{2 (a+b x)} \text{csch}^3(a+b x) \, dx","Int[E^(2*(a + b*x))*Csch[a + b*x]^3,x]","\frac{3 e^{a+b x}}{b \left(1-e^{2 a+2 b x}\right)}-\frac{2 e^{3 a+3 b x}}{b \left(1-e^{2 a+2 b x}\right)^2}-\frac{3 \tanh ^{-1}\left(e^{a+b x}\right)}{b}","\frac{3 e^{a+b x}}{b \left(1-e^{2 a+2 b x}\right)}-\frac{2 e^{3 a+3 b x}}{b \left(1-e^{2 a+2 b x}\right)^2}-\frac{3 \tanh ^{-1}\left(e^{a+b x}\right)}{b}",1,"(-2*E^(3*a + 3*b*x))/(b*(1 - E^(2*a + 2*b*x))^2) + (3*E^(a + b*x))/(b*(1 - E^(2*a + 2*b*x))) - (3*ArcTanh[E^(a + b*x)])/b","A",5,4,18,0.2222,1,"{2282, 12, 288, 207}"
878,1,139,0,0.0630272,"\int e^{a+b x} \sinh ^3(c+d x) \, dx","Int[E^(a + b*x)*Sinh[c + d*x]^3,x]","\frac{b e^{a+b x} \sinh ^3(c+d x)}{b^2-9 d^2}+\frac{6 b d^2 e^{a+b x} \sinh (c+d x)}{-10 b^2 d^2+b^4+9 d^4}-\frac{6 d^3 e^{a+b x} \cosh (c+d x)}{-10 b^2 d^2+b^4+9 d^4}-\frac{3 d e^{a+b x} \sinh ^2(c+d x) \cosh (c+d x)}{b^2-9 d^2}","\frac{b e^{a+b x} \sinh ^3(c+d x)}{b^2-9 d^2}+\frac{6 b d^2 e^{a+b x} \sinh (c+d x)}{-10 b^2 d^2+b^4+9 d^4}-\frac{6 d^3 e^{a+b x} \cosh (c+d x)}{-10 b^2 d^2+b^4+9 d^4}-\frac{3 d e^{a+b x} \sinh ^2(c+d x) \cosh (c+d x)}{b^2-9 d^2}",1,"(-6*d^3*E^(a + b*x)*Cosh[c + d*x])/(b^4 - 10*b^2*d^2 + 9*d^4) + (6*b*d^2*E^(a + b*x)*Sinh[c + d*x])/(b^4 - 10*b^2*d^2 + 9*d^4) - (3*d*E^(a + b*x)*Cosh[c + d*x]*Sinh[c + d*x]^2)/(b^2 - 9*d^2) + (b*E^(a + b*x)*Sinh[c + d*x]^3)/(b^2 - 9*d^2)","A",2,2,16,0.1250,1,"{5476, 5474}"
879,1,88,0,0.0361949,"\int e^{a+b x} \sinh ^2(c+d x) \, dx","Int[E^(a + b*x)*Sinh[c + d*x]^2,x]","\frac{b e^{a+b x} \sinh ^2(c+d x)}{b^2-4 d^2}-\frac{2 d e^{a+b x} \sinh (c+d x) \cosh (c+d x)}{b^2-4 d^2}+\frac{2 d^2 e^{a+b x}}{b \left(b^2-4 d^2\right)}","\frac{b e^{a+b x} \sinh ^2(c+d x)}{b^2-4 d^2}-\frac{2 d e^{a+b x} \sinh (c+d x) \cosh (c+d x)}{b^2-4 d^2}+\frac{2 d^2 e^{a+b x}}{b \left(b^2-4 d^2\right)}",1,"(2*d^2*E^(a + b*x))/(b*(b^2 - 4*d^2)) - (2*d*E^(a + b*x)*Cosh[c + d*x]*Sinh[c + d*x])/(b^2 - 4*d^2) + (b*E^(a + b*x)*Sinh[c + d*x]^2)/(b^2 - 4*d^2)","A",2,2,16,0.1250,1,"{5476, 2194}"
880,1,54,0,0.0186246,"\int e^{a+b x} \sinh (c+d x) \, dx","Int[E^(a + b*x)*Sinh[c + d*x],x]","\frac{b e^{a+b x} \sinh (c+d x)}{b^2-d^2}-\frac{d e^{a+b x} \cosh (c+d x)}{b^2-d^2}","\frac{b e^{a+b x} \sinh (c+d x)}{b^2-d^2}-\frac{d e^{a+b x} \cosh (c+d x)}{b^2-d^2}",1,"-((d*E^(a + b*x)*Cosh[c + d*x])/(b^2 - d^2)) + (b*E^(a + b*x)*Sinh[c + d*x])/(b^2 - d^2)","A",1,1,14,0.07143,1,"{5474}"
881,1,50,0,0.0191584,"\int e^{a+b x} \text{csch}(c+d x) \, dx","Int[E^(a + b*x)*Csch[c + d*x],x]","-\frac{2 e^{a+b x+c+d x} \, _2F_1\left(1,\frac{b+d}{2 d};\frac{1}{2} \left(\frac{b}{d}+3\right);e^{2 (c+d x)}\right)}{b+d}","-\frac{2 e^{a+b x+c+d x} \, _2F_1\left(1,\frac{b+d}{2 d};\frac{1}{2} \left(\frac{b}{d}+3\right);e^{2 (c+d x)}\right)}{b+d}",1,"(-2*E^(a + c + b*x + d*x)*Hypergeometric2F1[1, (b + d)/(2*d), (3 + b/d)/2, E^(2*(c + d*x))])/(b + d)","A",1,1,14,0.07143,1,"{5493}"
882,1,54,0,0.0294736,"\int e^{c+d x} \text{csch}^2(a+b x) \, dx","Int[E^(c + d*x)*Csch[a + b*x]^2,x]","\frac{4 e^{2 (a+b x)+c+d x} \, _2F_1\left(2,\frac{d}{2 b}+1;\frac{d}{2 b}+2;e^{2 (a+b x)}\right)}{2 b+d}","\frac{4 e^{2 (a+b x)+c+d x} \, _2F_1\left(2,\frac{d}{2 b}+1;\frac{d}{2 b}+2;e^{2 (a+b x)}\right)}{2 b+d}",1,"(4*E^(c + d*x + 2*(a + b*x))*Hypergeometric2F1[2, 1 + d/(2*b), 2 + d/(2*b), E^(2*(a + b*x))])/(2*b + d)","A",1,1,16,0.06250,1,"{5493}"
883,1,100,0,0.0489449,"\int e^{c+d x} \text{csch}^3(a+b x) \, dx","Int[E^(c + d*x)*Csch[a + b*x]^3,x]","\frac{(b-d) e^{a+b x+c+d x} \, _2F_1\left(1,\frac{b+d}{2 b};\frac{1}{2} \left(\frac{d}{b}+3\right);e^{2 (a+b x)}\right)}{b^2}-\frac{d e^{c+d x} \text{csch}(a+b x)}{2 b^2}-\frac{e^{c+d x} \coth (a+b x) \text{csch}(a+b x)}{2 b}","\frac{(b-d) e^{a+b x+c+d x} \, _2F_1\left(1,\frac{b+d}{2 b};\frac{1}{2} \left(\frac{d}{b}+3\right);e^{2 (a+b x)}\right)}{b^2}-\frac{d e^{c+d x} \text{csch}(a+b x)}{2 b^2}-\frac{e^{c+d x} \coth (a+b x) \text{csch}(a+b x)}{2 b}",1,"-(d*E^(c + d*x)*Csch[a + b*x])/(2*b^2) - (E^(c + d*x)*Coth[a + b*x]*Csch[a + b*x])/(2*b) + ((b - d)*E^(a + c + b*x + d*x)*Hypergeometric2F1[1, (b + d)/(2*b), (3 + d/b)/2, E^(2*(a + b*x))])/b^2","A",2,2,16,0.1250,1,"{5491, 5493}"
884,1,95,0,0.117063,"\int F^{c (a+b x)} \cosh ^n(d+e x) \, dx","Int[F^(c*(a + b*x))*Cosh[d + e*x]^n,x]","-\frac{\left(e^{2 (d+e x)}+1\right)^{-n} F^{c (a+b x)} \cosh ^n(d+e x) \, _2F_1\left(-n,-\frac{e n-b c \log (F)}{2 e};\frac{1}{2} \left(-n+\frac{b c \log (F)}{e}+2\right);-e^{2 (d+e x)}\right)}{e n-b c \log (F)}","-\frac{\left(e^{2 (d+e x)}+1\right)^{-n} F^{c (a+b x)} \cosh ^n(d+e x) \, _2F_1\left(-n,-\frac{e n-b c \log (F)}{2 e};\frac{1}{2} \left(-n+\frac{b c \log (F)}{e}+2\right);-e^{2 (d+e x)}\right)}{e n-b c \log (F)}",1,"-((F^(c*(a + b*x))*Cosh[d + e*x]^n*Hypergeometric2F1[-n, -(e*n - b*c*Log[F])/(2*e), (2 - n + (b*c*Log[F])/e)/2, -E^(2*(d + e*x))])/((1 + E^(2*(d + e*x)))^n*(e*n - b*c*Log[F])))","A",2,2,18,0.1111,1,"{5483, 2259}"
885,1,139,0,0.0495677,"\int e^{a+b x} \cosh ^3(c+d x) \, dx","Int[E^(a + b*x)*Cosh[c + d*x]^3,x]","\frac{6 d^3 e^{a+b x} \sinh (c+d x)}{-10 b^2 d^2+b^4+9 d^4}+\frac{b e^{a+b x} \cosh ^3(c+d x)}{b^2-9 d^2}-\frac{6 b d^2 e^{a+b x} \cosh (c+d x)}{-10 b^2 d^2+b^4+9 d^4}-\frac{3 d e^{a+b x} \sinh (c+d x) \cosh ^2(c+d x)}{b^2-9 d^2}","\frac{6 d^3 e^{a+b x} \sinh (c+d x)}{-10 b^2 d^2+b^4+9 d^4}+\frac{b e^{a+b x} \cosh ^3(c+d x)}{b^2-9 d^2}-\frac{6 b d^2 e^{a+b x} \cosh (c+d x)}{-10 b^2 d^2+b^4+9 d^4}-\frac{3 d e^{a+b x} \sinh (c+d x) \cosh ^2(c+d x)}{b^2-9 d^2}",1,"(-6*b*d^2*E^(a + b*x)*Cosh[c + d*x])/(b^4 - 10*b^2*d^2 + 9*d^4) + (b*E^(a + b*x)*Cosh[c + d*x]^3)/(b^2 - 9*d^2) + (6*d^3*E^(a + b*x)*Sinh[c + d*x])/(b^4 - 10*b^2*d^2 + 9*d^4) - (3*d*E^(a + b*x)*Cosh[c + d*x]^2*Sinh[c + d*x])/(b^2 - 9*d^2)","A",2,2,16,0.1250,1,"{5477, 5475}"
886,1,88,0,0.030614,"\int e^{a+b x} \cosh ^2(c+d x) \, dx","Int[E^(a + b*x)*Cosh[c + d*x]^2,x]","\frac{b e^{a+b x} \cosh ^2(c+d x)}{b^2-4 d^2}-\frac{2 d e^{a+b x} \sinh (c+d x) \cosh (c+d x)}{b^2-4 d^2}-\frac{2 d^2 e^{a+b x}}{b \left(b^2-4 d^2\right)}","\frac{b e^{a+b x} \cosh ^2(c+d x)}{b^2-4 d^2}-\frac{2 d e^{a+b x} \sinh (c+d x) \cosh (c+d x)}{b^2-4 d^2}-\frac{2 d^2 e^{a+b x}}{b \left(b^2-4 d^2\right)}",1,"(-2*d^2*E^(a + b*x))/(b*(b^2 - 4*d^2)) + (b*E^(a + b*x)*Cosh[c + d*x]^2)/(b^2 - 4*d^2) - (2*d*E^(a + b*x)*Cosh[c + d*x]*Sinh[c + d*x])/(b^2 - 4*d^2)","A",2,2,16,0.1250,1,"{5477, 2194}"
887,1,54,0,0.0175259,"\int e^{a+b x} \cosh (c+d x) \, dx","Int[E^(a + b*x)*Cosh[c + d*x],x]","\frac{b e^{a+b x} \cosh (c+d x)}{b^2-d^2}-\frac{d e^{a+b x} \sinh (c+d x)}{b^2-d^2}","\frac{b e^{a+b x} \cosh (c+d x)}{b^2-d^2}-\frac{d e^{a+b x} \sinh (c+d x)}{b^2-d^2}",1,"(b*E^(a + b*x)*Cosh[c + d*x])/(b^2 - d^2) - (d*E^(a + b*x)*Sinh[c + d*x])/(b^2 - d^2)","A",1,1,14,0.07143,1,"{5475}"
888,1,52,0,0.0178902,"\int e^{a+b x} \text{sech}(c+d x) \, dx","Int[E^(a + b*x)*Sech[c + d*x],x]","\frac{2 e^{a+b x+c+d x} \, _2F_1\left(1,\frac{b+d}{2 d};\frac{1}{2} \left(\frac{b}{d}+3\right);-e^{2 (c+d x)}\right)}{b+d}","\frac{2 e^{a+b x+c+d x} \, _2F_1\left(1,\frac{b+d}{2 d};\frac{1}{2} \left(\frac{b}{d}+3\right);-e^{2 (c+d x)}\right)}{b+d}",1,"(2*E^(a + c + b*x + d*x)*Hypergeometric2F1[1, (b + d)/(2*d), (3 + b/d)/2, -E^(2*(c + d*x))])/(b + d)","A",1,1,14,0.07143,1,"{5492}"
889,1,56,0,0.026573,"\int e^{a+b x} \text{sech}^2(c+d x) \, dx","Int[E^(a + b*x)*Sech[c + d*x]^2,x]","\frac{4 e^{a+b x+2 (c+d x)} \, _2F_1\left(2,\frac{b}{2 d}+1;\frac{b}{2 d}+2;-e^{2 (c+d x)}\right)}{b+2 d}","\frac{4 e^{a+b x+2 (c+d x)} \, _2F_1\left(2,\frac{b}{2 d}+1;\frac{b}{2 d}+2;-e^{2 (c+d x)}\right)}{b+2 d}",1,"(4*E^(a + b*x + 2*(c + d*x))*Hypergeometric2F1[2, 1 + b/(2*d), 2 + b/(2*d), -E^(2*(c + d*x))])/(b + 2*d)","A",1,1,16,0.06250,1,"{5492}"
890,1,103,0,0.0500383,"\int e^{a+b x} \text{sech}^3(c+d x) \, dx","Int[E^(a + b*x)*Sech[c + d*x]^3,x]","-\frac{(b-d) e^{a+b x+c+d x} \, _2F_1\left(1,\frac{b+d}{2 d};\frac{1}{2} \left(\frac{b}{d}+3\right);-e^{2 (c+d x)}\right)}{d^2}+\frac{b e^{a+b x} \text{sech}(c+d x)}{2 d^2}+\frac{e^{a+b x} \tanh (c+d x) \text{sech}(c+d x)}{2 d}","-\frac{(b-d) e^{a+b x+c+d x} \, _2F_1\left(1,\frac{b+d}{2 d};\frac{1}{2} \left(\frac{b}{d}+3\right);-e^{2 (c+d x)}\right)}{d^2}+\frac{b e^{a+b x} \text{sech}(c+d x)}{2 d^2}+\frac{e^{a+b x} \tanh (c+d x) \text{sech}(c+d x)}{2 d}",1,"-(((b - d)*E^(a + c + b*x + d*x)*Hypergeometric2F1[1, (b + d)/(2*d), (3 + b/d)/2, -E^(2*(c + d*x))])/d^2) + (b*E^(a + b*x)*Sech[c + d*x])/(2*d^2) + (E^(a + b*x)*Sech[c + d*x]*Tanh[c + d*x])/(2*d)","A",2,2,16,0.1250,1,"{5490, 5492}"
891,1,90,0,0.1373851,"\int F^{c (a+b x)} \text{sech}^n(d+e x) \, dx","Int[F^(c*(a + b*x))*Sech[d + e*x]^n,x]","\frac{\left(e^{2 (d+e x)}+1\right)^n F^{a c+b c x} \text{sech}^n(d+e x) \, _2F_1\left(n,\frac{e n+b c \log (F)}{2 e};\frac{e n+b c \log (F)}{2 e}+1;-e^{2 (d+e x)}\right)}{b c \log (F)+e n}","\frac{\left(e^{2 (d+e x)}+1\right)^n F^{a c+b c x} \text{sech}^n(d+e x) \, _2F_1\left(n,\frac{e n+b c \log (F)}{2 e};\frac{e n+b c \log (F)}{2 e}+1;-e^{2 (d+e x)}\right)}{b c \log (F)+e n}",1,"((1 + E^(2*(d + e*x)))^n*F^(a*c + b*c*x)*Hypergeometric2F1[n, (e*n + b*c*Log[F])/(2*e), 1 + (e*n + b*c*Log[F])/(2*e), -E^(2*(d + e*x))]*Sech[d + e*x]^n)/(e*n + b*c*Log[F])","A",2,2,18,0.1111,1,"{5494, 2259}"
892,1,91,0,0.1671546,"\int F^{c (a+b x)} \text{csch}^n(d+e x) \, dx","Int[F^(c*(a + b*x))*Csch[d + e*x]^n,x]","-\frac{\left(1-e^{-2 (d+e x)}\right)^n F^{a c+b c x} \text{csch}^n(d+e x) \, _2F_1\left(n,\frac{e n-b c \log (F)}{2 e};\frac{1}{2} \left(n-\frac{b c \log (F)}{e}+2\right);e^{-2 (d+e x)}\right)}{e n-b c \log (F)}","-\frac{\left(1-e^{-2 (d+e x)}\right)^n F^{a c+b c x} \text{csch}^n(d+e x) \, _2F_1\left(n,\frac{e n-b c \log (F)}{2 e};\frac{1}{2} \left(n-\frac{b c \log (F)}{e}+2\right);e^{-2 (d+e x)}\right)}{e n-b c \log (F)}",1,"-(((1 - E^(-2*(d + e*x)))^n*F^(a*c + b*c*x)*Csch[d + e*x]^n*Hypergeometric2F1[n, (e*n - b*c*Log[F])/(2*e), (2 + n - (b*c*Log[F])/e)/2, E^(-2*(d + e*x))])/(e*n - b*c*Log[F]))","A",2,2,18,0.1111,1,"{5495, 2259}"
893,1,254,0,0.4069454,"\int F^{c (a+b x)} (f+i f \sinh (d+e x))^2 \, dx","Int[F^(c*(a + b*x))*(f + I*f*Sinh[d + e*x])^2,x]","\frac{b c f^2 \log (F) \sinh ^2(d+e x) F^{a c+b c x}}{4 e^2-b^2 c^2 \log ^2(F)}-\frac{2 i b c f^2 \log (F) \sinh (d+e x) F^{a c+b c x}}{e^2-b^2 c^2 \log ^2(F)}+\frac{2 i e f^2 \cosh (d+e x) F^{a c+b c x}}{e^2-b^2 c^2 \log ^2(F)}-\frac{2 e f^2 \sinh (d+e x) \cosh (d+e x) F^{a c+b c x}}{4 e^2-b^2 c^2 \log ^2(F)}+\frac{2 e^2 f^2 F^{a c+b c x}}{b c \log (F) \left(4 e^2-b^2 c^2 \log ^2(F)\right)}+\frac{f^2 F^{a c+b c x}}{b c \log (F)}","\frac{b c f^2 \log (F) \sinh ^2(d+e x) F^{a c+b c x}}{4 e^2-b^2 c^2 \log ^2(F)}-\frac{2 i b c f^2 \log (F) \sinh (d+e x) F^{a c+b c x}}{e^2-b^2 c^2 \log ^2(F)}+\frac{2 i e f^2 \cosh (d+e x) F^{a c+b c x}}{e^2-b^2 c^2 \log ^2(F)}-\frac{2 e f^2 \sinh (d+e x) \cosh (d+e x) F^{a c+b c x}}{4 e^2-b^2 c^2 \log ^2(F)}+\frac{2 e^2 f^2 F^{a c+b c x}}{b c \log (F) \left(4 e^2-b^2 c^2 \log ^2(F)\right)}+\frac{f^2 F^{a c+b c x}}{b c \log (F)}",1,"(f^2*F^(a*c + b*c*x))/(b*c*Log[F]) + ((2*I)*e*f^2*F^(a*c + b*c*x)*Cosh[d + e*x])/(e^2 - b^2*c^2*Log[F]^2) + (2*e^2*f^2*F^(a*c + b*c*x))/(b*c*Log[F]*(4*e^2 - b^2*c^2*Log[F]^2)) - ((2*I)*b*c*f^2*F^(a*c + b*c*x)*Log[F]*Sinh[d + e*x])/(e^2 - b^2*c^2*Log[F]^2) - (2*e*f^2*F^(a*c + b*c*x)*Cosh[d + e*x]*Sinh[d + e*x])/(4*e^2 - b^2*c^2*Log[F]^2) + (b*c*f^2*F^(a*c + b*c*x)*Log[F]*Sinh[d + e*x]^2)/(4*e^2 - b^2*c^2*Log[F]^2)","A",8,6,25,0.2400,1,"{6741, 12, 6742, 2194, 5474, 5476}"
894,1,106,0,0.1791552,"\int F^{c (a+b x)} (f+i f \sinh (d+e x)) \, dx","Int[F^(c*(a + b*x))*(f + I*f*Sinh[d + e*x]),x]","-\frac{i b c f \log (F) \sinh (d+e x) F^{a c+b c x}}{e^2-b^2 c^2 \log ^2(F)}+\frac{i e f \cosh (d+e x) F^{a c+b c x}}{e^2-b^2 c^2 \log ^2(F)}+\frac{f F^{a c+b c x}}{b c \log (F)}","-\frac{i b c f \log (F) \sinh (d+e x) F^{a c+b c x}}{e^2-b^2 c^2 \log ^2(F)}+\frac{i e f \cosh (d+e x) F^{a c+b c x}}{e^2-b^2 c^2 \log ^2(F)}+\frac{f F^{a c+b c x}}{b c \log (F)}",1,"(f*F^(a*c + b*c*x))/(b*c*Log[F]) + (I*e*f*F^(a*c + b*c*x)*Cosh[d + e*x])/(e^2 - b^2*c^2*Log[F]^2) - (I*b*c*f*F^(a*c + b*c*x)*Log[F]*Sinh[d + e*x])/(e^2 - b^2*c^2*Log[F]^2)","A",6,5,23,0.2174,1,"{6741, 12, 6742, 2194, 5474}"
895,1,85,0,0.0752858,"\int \frac{F^{c (a+b x)}}{f+i f \sinh (d+e x)} \, dx","Int[F^(c*(a + b*x))/(f + I*f*Sinh[d + e*x]),x]","\frac{2 e^{\frac{1}{2} (2 d+2 e x+i \pi )} F^{c (a+b x)} \, _2F_1\left(2,\frac{b c \log (F)}{e}+1;\frac{b c \log (F)}{e}+2;-e^{\frac{1}{2} (2 d+2 e x+i \pi )}\right)}{f (b c \log (F)+e)}","\frac{2 e^{\frac{1}{2} (2 d+2 e x+i \pi )} F^{c (a+b x)} \, _2F_1\left(2,\frac{b c \log (F)}{e}+1;\frac{b c \log (F)}{e}+2;-e^{\frac{1}{2} (2 d+2 e x+i \pi )}\right)}{f (b c \log (F)+e)}",1,"(2*E^((2*d + I*Pi + 2*e*x)/2)*F^(c*(a + b*x))*Hypergeometric2F1[2, 1 + (b*c*Log[F])/e, 2 + (b*c*Log[F])/e, -E^((2*d + I*Pi + 2*e*x)/2)])/(f*(e + b*c*Log[F]))","A",2,2,25,0.08000,1,"{5496, 5492}"
896,1,196,0,0.1146581,"\int \frac{F^{c (a+b x)}}{(f+i f \sinh (d+e x))^2} \, dx","Int[F^(c*(a + b*x))/(f + I*f*Sinh[d + e*x])^2,x]","\frac{2 e^{\frac{1}{2} (2 d+2 e x+i \pi )} F^{c (a+b x)} (e-b c \log (F)) \, _2F_1\left(2,\frac{b c \log (F)}{e}+1;\frac{b c \log (F)}{e}+2;-e^{\frac{1}{2} (2 d+2 e x+i \pi )}\right)}{3 e^2 f^2}+\frac{b c \log (F) \text{sech}^2\left(\frac{d}{2}+\frac{e x}{2}+\frac{i \pi }{4}\right) F^{c (a+b x)}}{6 e^2 f^2}+\frac{\tanh \left(\frac{d}{2}+\frac{e x}{2}+\frac{i \pi }{4}\right) \text{sech}^2\left(\frac{d}{2}+\frac{e x}{2}+\frac{i \pi }{4}\right) F^{c (a+b x)}}{6 e f^2}","\frac{2 e^{\frac{1}{2} (2 d+2 e x+i \pi )} F^{c (a+b x)} (e-b c \log (F)) \, _2F_1\left(2,\frac{b c \log (F)}{e}+1;\frac{b c \log (F)}{e}+2;-e^{\frac{1}{2} (2 d+2 e x+i \pi )}\right)}{3 e^2 f^2}+\frac{b c \log (F) \text{sech}^2\left(\frac{d}{2}+\frac{e x}{2}+\frac{i \pi }{4}\right) F^{c (a+b x)}}{6 e^2 f^2}+\frac{\tanh \left(\frac{d}{2}+\frac{e x}{2}+\frac{i \pi }{4}\right) \text{sech}^2\left(\frac{d}{2}+\frac{e x}{2}+\frac{i \pi }{4}\right) F^{c (a+b x)}}{6 e f^2}",1,"(2*E^((2*d + I*Pi + 2*e*x)/2)*F^(c*(a + b*x))*Hypergeometric2F1[2, 1 + (b*c*Log[F])/e, 2 + (b*c*Log[F])/e, -E^((2*d + I*Pi + 2*e*x)/2)]*(e - b*c*Log[F]))/(3*e^2*f^2) + (b*c*F^(c*(a + b*x))*Log[F]*Sech[d/2 + (I/4)*Pi + (e*x)/2]^2)/(6*e^2*f^2) + (F^(c*(a + b*x))*Sech[d/2 + (I/4)*Pi + (e*x)/2]^2*Tanh[d/2 + (I/4)*Pi + (e*x)/2])/(6*e*f^2)","A",3,3,25,0.1200,1,"{5496, 5490, 5492}"
897,1,251,0,0.3125212,"\int F^{c (a+b x)} (f+f \cosh (d+e x))^2 \, dx","Int[F^(c*(a + b*x))*(f + f*Cosh[d + e*x])^2,x]","\frac{2 e f^2 \sinh (d+e x) F^{a c+b c x}}{e^2-b^2 c^2 \log ^2(F)}-\frac{b c f^2 \log (F) \cosh ^2(d+e x) F^{a c+b c x}}{4 e^2-b^2 c^2 \log ^2(F)}-\frac{2 b c f^2 \log (F) \cosh (d+e x) F^{a c+b c x}}{e^2-b^2 c^2 \log ^2(F)}+\frac{2 e f^2 \sinh (d+e x) \cosh (d+e x) F^{a c+b c x}}{4 e^2-b^2 c^2 \log ^2(F)}+\frac{2 e^2 f^2 F^{a c+b c x}}{b c \log (F) \left(4 e^2-b^2 c^2 \log ^2(F)\right)}+\frac{f^2 F^{a c+b c x}}{b c \log (F)}","\frac{2 e f^2 \sinh (d+e x) F^{a c+b c x}}{e^2-b^2 c^2 \log ^2(F)}-\frac{b c f^2 \log (F) \cosh ^2(d+e x) F^{a c+b c x}}{4 e^2-b^2 c^2 \log ^2(F)}-\frac{2 b c f^2 \log (F) \cosh (d+e x) F^{a c+b c x}}{e^2-b^2 c^2 \log ^2(F)}+\frac{2 e f^2 \sinh (d+e x) \cosh (d+e x) F^{a c+b c x}}{4 e^2-b^2 c^2 \log ^2(F)}+\frac{2 e^2 f^2 F^{a c+b c x}}{b c \log (F) \left(4 e^2-b^2 c^2 \log ^2(F)\right)}+\frac{f^2 F^{a c+b c x}}{b c \log (F)}",1,"(f^2*F^(a*c + b*c*x))/(b*c*Log[F]) - (2*b*c*f^2*F^(a*c + b*c*x)*Cosh[d + e*x]*Log[F])/(e^2 - b^2*c^2*Log[F]^2) + (2*e^2*f^2*F^(a*c + b*c*x))/(b*c*Log[F]*(4*e^2 - b^2*c^2*Log[F]^2)) - (b*c*f^2*F^(a*c + b*c*x)*Cosh[d + e*x]^2*Log[F])/(4*e^2 - b^2*c^2*Log[F]^2) + (2*e*f^2*F^(a*c + b*c*x)*Sinh[d + e*x])/(e^2 - b^2*c^2*Log[F]^2) + (2*e*f^2*F^(a*c + b*c*x)*Cosh[d + e*x]*Sinh[d + e*x])/(4*e^2 - b^2*c^2*Log[F]^2)","A",8,6,22,0.2727,1,"{6741, 12, 6742, 2194, 5475, 5477}"
898,1,101,0,0.14612,"\int F^{c (a+b x)} (f+f \cosh (d+e x)) \, dx","Int[F^(c*(a + b*x))*(f + f*Cosh[d + e*x]),x]","\frac{e f \sinh (d+e x) F^{a c+b c x}}{e^2-b^2 c^2 \log ^2(F)}-\frac{b c f \log (F) \cosh (d+e x) F^{a c+b c x}}{e^2-b^2 c^2 \log ^2(F)}+\frac{f F^{a c+b c x}}{b c \log (F)}","\frac{e f \sinh (d+e x) F^{a c+b c x}}{e^2-b^2 c^2 \log ^2(F)}-\frac{b c f \log (F) \cosh (d+e x) F^{a c+b c x}}{e^2-b^2 c^2 \log ^2(F)}+\frac{f F^{a c+b c x}}{b c \log (F)}",1,"(f*F^(a*c + b*c*x))/(b*c*Log[F]) - (b*c*f*F^(a*c + b*c*x)*Cosh[d + e*x]*Log[F])/(e^2 - b^2*c^2*Log[F]^2) + (e*f*F^(a*c + b*c*x)*Sinh[d + e*x])/(e^2 - b^2*c^2*Log[F]^2)","A",6,5,20,0.2500,1,"{6741, 12, 6742, 2194, 5475}"
899,1,61,0,0.0627048,"\int \frac{F^{c (a+b x)}}{f+f \cosh (d+e x)} \, dx","Int[F^(c*(a + b*x))/(f + f*Cosh[d + e*x]),x]","\frac{2 e^{d+e x} F^{c (a+b x)} \, _2F_1\left(2,\frac{b c \log (F)}{e}+1;\frac{b c \log (F)}{e}+2;-e^{d+e x}\right)}{f (b c \log (F)+e)}","\frac{2 e^{d+e x} F^{c (a+b x)} \, _2F_1\left(2,\frac{b c \log (F)}{e}+1;\frac{b c \log (F)}{e}+2;-e^{d+e x}\right)}{f (b c \log (F)+e)}",1,"(2*E^(d + e*x)*F^(c*(a + b*x))*Hypergeometric2F1[2, 1 + (b*c*Log[F])/e, 2 + (b*c*Log[F])/e, -E^(d + e*x)])/(f*(e + b*c*Log[F]))","A",2,2,22,0.09091,1,"{5497, 5492}"
900,1,151,0,0.102074,"\int \frac{F^{c (a+b x)}}{(f+f \cosh (d+e x))^2} \, dx","Int[F^(c*(a + b*x))/(f + f*Cosh[d + e*x])^2,x]","\frac{2 e^{d+e x} F^{c (a+b x)} (e-b c \log (F)) \, _2F_1\left(2,\frac{b c \log (F)}{e}+1;\frac{b c \log (F)}{e}+2;-e^{d+e x}\right)}{3 e^2 f^2}+\frac{b c \log (F) \text{sech}^2\left(\frac{d}{2}+\frac{e x}{2}\right) F^{c (a+b x)}}{6 e^2 f^2}+\frac{\tanh \left(\frac{d}{2}+\frac{e x}{2}\right) \text{sech}^2\left(\frac{d}{2}+\frac{e x}{2}\right) F^{c (a+b x)}}{6 e f^2}","\frac{2 e^{d+e x} F^{c (a+b x)} (e-b c \log (F)) \, _2F_1\left(2,\frac{b c \log (F)}{e}+1;\frac{b c \log (F)}{e}+2;-e^{d+e x}\right)}{3 e^2 f^2}+\frac{b c \log (F) \text{sech}^2\left(\frac{d}{2}+\frac{e x}{2}\right) F^{c (a+b x)}}{6 e^2 f^2}+\frac{\tanh \left(\frac{d}{2}+\frac{e x}{2}\right) \text{sech}^2\left(\frac{d}{2}+\frac{e x}{2}\right) F^{c (a+b x)}}{6 e f^2}",1,"(2*E^(d + e*x)*F^(c*(a + b*x))*Hypergeometric2F1[2, 1 + (b*c*Log[F])/e, 2 + (b*c*Log[F])/e, -E^(d + e*x)]*(e - b*c*Log[F]))/(3*e^2*f^2) + (b*c*F^(c*(a + b*x))*Log[F]*Sech[d/2 + (e*x)/2]^2)/(6*e^2*f^2) + (F^(c*(a + b*x))*Sech[d/2 + (e*x)/2]^2*Tanh[d/2 + (e*x)/2])/(6*e*f^2)","A",3,3,22,0.1364,1,"{5497, 5490, 5492}"
901,1,69,0,0.0510697,"\int e^{a+b x} \cosh (a+b x) \sinh ^3(a+b x) \, dx","Int[E^(a + b*x)*Cosh[a + b*x]*Sinh[a + b*x]^3,x]","\frac{e^{-3 a-3 b x}}{48 b}-\frac{e^{-a-b x}}{8 b}-\frac{e^{3 a+3 b x}}{24 b}+\frac{e^{5 a+5 b x}}{80 b}","\frac{e^{-3 a-3 b x}}{48 b}-\frac{e^{-a-b x}}{8 b}-\frac{e^{3 a+3 b x}}{24 b}+\frac{e^{5 a+5 b x}}{80 b}",1,"E^(-3*a - 3*b*x)/(48*b) - E^(-a - b*x)/(8*b) - E^(3*a + 3*b*x)/(24*b) + E^(5*a + 5*b*x)/(80*b)","A",4,3,22,0.1364,1,"{2282, 12, 448}"
902,1,57,0,0.052599,"\int e^{a+b x} \cosh (a+b x) \sinh ^2(a+b x) \, dx","Int[E^(a + b*x)*Cosh[a + b*x]*Sinh[a + b*x]^2,x]","-\frac{e^{-2 a-2 b x}}{16 b}-\frac{e^{2 a+2 b x}}{16 b}+\frac{e^{4 a+4 b x}}{32 b}-\frac{x}{8}","-\frac{e^{-2 a-2 b x}}{16 b}-\frac{e^{2 a+2 b x}}{16 b}+\frac{e^{4 a+4 b x}}{32 b}-\frac{x}{8}",1,"-E^(-2*a - 2*b*x)/(16*b) - E^(2*a + 2*b*x)/(16*b) + E^(4*a + 4*b*x)/(32*b) - x/8","A",5,4,22,0.1818,1,"{2282, 12, 446, 75}"
903,1,35,0,0.0267362,"\int e^{a+b x} \cosh (a+b x) \sinh (a+b x) \, dx","Int[E^(a + b*x)*Cosh[a + b*x]*Sinh[a + b*x],x]","\frac{e^{-a-b x}}{4 b}+\frac{e^{3 a+3 b x}}{12 b}","\frac{e^{-a-b x}}{4 b}+\frac{e^{3 a+3 b x}}{12 b}",1,"E^(-a - b*x)/(4*b) + E^(3*a + 3*b*x)/(12*b)","A",4,3,20,0.1500,1,"{2282, 12, 14}"
904,1,25,0,0.0177557,"\int e^{a+b x} \coth (a+b x) \, dx","Int[E^(a + b*x)*Coth[a + b*x],x]","\frac{e^{a+b x}}{b}-\frac{2 \tanh ^{-1}\left(e^{a+b x}\right)}{b}","\frac{e^{a+b x}}{b}-\frac{2 \tanh ^{-1}\left(e^{a+b x}\right)}{b}",1,"E^(a + b*x)/b - (2*ArcTanh[E^(a + b*x)])/b","A",3,3,14,0.2143,1,"{2282, 388, 206}"
905,1,41,0,0.0448145,"\int e^{a+b x} \coth (a+b x) \text{csch}(a+b x) \, dx","Int[E^(a + b*x)*Coth[a + b*x]*Csch[a + b*x],x]","\frac{2}{b \left(1-e^{2 a+2 b x}\right)}+\frac{\log \left(1-e^{2 a+2 b x}\right)}{b}","\frac{2}{b \left(1-e^{2 a+2 b x}\right)}+\frac{\log \left(1-e^{2 a+2 b x}\right)}{b}",1,"2/(b*(1 - E^(2*a + 2*b*x))) + Log[1 - E^(2*a + 2*b*x)]/b","A",5,4,20,0.2000,1,"{2282, 12, 444, 43}"
906,1,70,0,0.0602406,"\int e^{a+b x} \coth (a+b x) \text{csch}^2(a+b x) \, dx","Int[E^(a + b*x)*Coth[a + b*x]*Csch[a + b*x]^2,x]","\frac{3 e^{a+b x}}{b \left(1-e^{2 a+2 b x}\right)}-\frac{2 e^{a+b x}}{b \left(1-e^{2 a+2 b x}\right)^2}-\frac{\tanh ^{-1}\left(e^{a+b x}\right)}{b}","\frac{3 e^{a+b x}}{b \left(1-e^{2 a+2 b x}\right)}-\frac{2 e^{a+b x}}{b \left(1-e^{2 a+2 b x}\right)^2}-\frac{\tanh ^{-1}\left(e^{a+b x}\right)}{b}",1,"(-2*E^(a + b*x))/(b*(1 - E^(2*a + 2*b*x))^2) + (3*E^(a + b*x))/(b*(1 - E^(2*a + 2*b*x))) - ArcTanh[E^(a + b*x)]/b","A",5,5,22,0.2273,1,"{2282, 12, 455, 385, 206}"
907,1,91,0,0.0743978,"\int e^{a+b x} \cosh ^2(a+b x) \sinh ^3(a+b x) \, dx","Int[E^(a + b*x)*Cosh[a + b*x]^2*Sinh[a + b*x]^3,x]","\frac{e^{-4 a-4 b x}}{128 b}-\frac{e^{-2 a-2 b x}}{64 b}-\frac{e^{2 a+2 b x}}{32 b}-\frac{e^{4 a+4 b x}}{128 b}+\frac{e^{6 a+6 b x}}{192 b}+\frac{x}{16}","\frac{e^{-4 a-4 b x}}{128 b}-\frac{e^{-2 a-2 b x}}{64 b}-\frac{e^{2 a+2 b x}}{32 b}-\frac{e^{4 a+4 b x}}{128 b}+\frac{e^{6 a+6 b x}}{192 b}+\frac{x}{16}",1,"E^(-4*a - 4*b*x)/(128*b) - E^(-2*a - 2*b*x)/(64*b) - E^(2*a + 2*b*x)/(32*b) - E^(4*a + 4*b*x)/(128*b) + E^(6*a + 6*b*x)/(192*b) + x/16","A",5,4,24,0.1667,1,"{2282, 12, 446, 88}"
908,1,49,0,0.0530814,"\int e^{a+b x} \cosh ^2(a+b x) \sinh ^2(a+b x) \, dx","Int[E^(a + b*x)*Cosh[a + b*x]^2*Sinh[a + b*x]^2,x]","-\frac{e^{-3 a-3 b x}}{48 b}-\frac{e^{a+b x}}{8 b}+\frac{e^{5 a+5 b x}}{80 b}","-\frac{e^{-3 a-3 b x}}{48 b}-\frac{e^{a+b x}}{8 b}+\frac{e^{5 a+5 b x}}{80 b}",1,"-E^(-3*a - 3*b*x)/(48*b) - E^(a + b*x)/(8*b) + E^(5*a + 5*b*x)/(80*b)","A",4,3,24,0.1250,1,"{2282, 12, 270}"
909,1,57,0,0.0469278,"\int e^{a+b x} \cosh ^2(a+b x) \sinh (a+b x) \, dx","Int[E^(a + b*x)*Cosh[a + b*x]^2*Sinh[a + b*x],x]","\frac{e^{-2 a-2 b x}}{16 b}+\frac{e^{2 a+2 b x}}{16 b}+\frac{e^{4 a+4 b x}}{32 b}-\frac{x}{8}","\frac{e^{-2 a-2 b x}}{16 b}+\frac{e^{2 a+2 b x}}{16 b}+\frac{e^{4 a+4 b x}}{32 b}-\frac{x}{8}",1,"E^(-2*a - 2*b*x)/(16*b) + E^(2*a + 2*b*x)/(16*b) + E^(4*a + 4*b*x)/(32*b) - x/8","A",5,4,22,0.1818,1,"{2282, 12, 446, 75}"
910,1,42,0,0.0433302,"\int e^{a+b x} \cosh (a+b x) \coth (a+b x) \, dx","Int[E^(a + b*x)*Cosh[a + b*x]*Coth[a + b*x],x]","\frac{e^{2 a+2 b x}}{4 b}+\frac{\log \left(1-e^{2 a+2 b x}\right)}{b}-\frac{x}{2}","\frac{e^{2 a+2 b x}}{4 b}+\frac{\log \left(1-e^{2 a+2 b x}\right)}{b}-\frac{x}{2}",1,"E^(2*a + 2*b*x)/(4*b) - x/2 + Log[1 - E^(2*a + 2*b*x)]/b","A",5,4,20,0.2000,1,"{2282, 12, 446, 72}"
911,1,53,0,0.0381733,"\int e^{a+b x} \coth ^2(a+b x) \, dx","Int[E^(a + b*x)*Coth[a + b*x]^2,x]","\frac{e^{a+b x}}{b}+\frac{2 e^{a+b x}}{b \left(1-e^{2 a+2 b x}\right)}-\frac{2 \tanh ^{-1}\left(e^{a+b x}\right)}{b}","\frac{e^{a+b x}}{b}+\frac{2 e^{a+b x}}{b \left(1-e^{2 a+2 b x}\right)}-\frac{2 \tanh ^{-1}\left(e^{a+b x}\right)}{b}",1,"E^(a + b*x)/b + (2*E^(a + b*x))/(b*(1 - E^(2*a + 2*b*x))) - (2*ArcTanh[E^(a + b*x)])/b","A",5,4,16,0.2500,1,"{2282, 390, 288, 206}"
912,1,62,0,0.0653165,"\int e^{a+b x} \coth ^2(a+b x) \text{csch}(a+b x) \, dx","Int[E^(a + b*x)*Coth[a + b*x]^2*Csch[a + b*x],x]","\frac{4}{b \left(1-e^{2 a+2 b x}\right)}-\frac{2}{b \left(1-e^{2 a+2 b x}\right)^2}+\frac{\log \left(1-e^{2 a+2 b x}\right)}{b}","\frac{4}{b \left(1-e^{2 a+2 b x}\right)}-\frac{2}{b \left(1-e^{2 a+2 b x}\right)^2}+\frac{\log \left(1-e^{2 a+2 b x}\right)}{b}",1,"-2/(b*(1 - E^(2*a + 2*b*x))^2) + 4/(b*(1 - E^(2*a + 2*b*x))) + Log[1 - E^(2*a + 2*b*x)]/b","A",5,4,22,0.1818,1,"{2282, 12, 444, 43}"
913,1,69,0,0.0589133,"\int e^{a+b x} \cosh ^3(a+b x) \sinh ^3(a+b x) \, dx","Int[E^(a + b*x)*Cosh[a + b*x]^3*Sinh[a + b*x]^3,x]","\frac{e^{-5 a-5 b x}}{320 b}-\frac{3 e^{-a-b x}}{64 b}-\frac{e^{3 a+3 b x}}{64 b}+\frac{e^{7 a+7 b x}}{448 b}","\frac{e^{-5 a-5 b x}}{320 b}-\frac{3 e^{-a-b x}}{64 b}-\frac{e^{3 a+3 b x}}{64 b}+\frac{e^{7 a+7 b x}}{448 b}",1,"E^(-5*a - 5*b*x)/(320*b) - (3*E^(-a - b*x))/(64*b) - E^(3*a + 3*b*x)/(64*b) + E^(7*a + 7*b*x)/(448*b)","A",4,3,24,0.1250,1,"{2282, 12, 270}"
914,1,91,0,0.0793523,"\int e^{a+b x} \cosh ^3(a+b x) \sinh ^2(a+b x) \, dx","Int[E^(a + b*x)*Cosh[a + b*x]^3*Sinh[a + b*x]^2,x]","-\frac{e^{-4 a-4 b x}}{128 b}-\frac{e^{-2 a-2 b x}}{64 b}-\frac{e^{2 a+2 b x}}{32 b}+\frac{e^{4 a+4 b x}}{128 b}+\frac{e^{6 a+6 b x}}{192 b}-\frac{x}{16}","-\frac{e^{-4 a-4 b x}}{128 b}-\frac{e^{-2 a-2 b x}}{64 b}-\frac{e^{2 a+2 b x}}{32 b}+\frac{e^{4 a+4 b x}}{128 b}+\frac{e^{6 a+6 b x}}{192 b}-\frac{x}{16}",1,"-E^(-4*a - 4*b*x)/(128*b) - E^(-2*a - 2*b*x)/(64*b) - E^(2*a + 2*b*x)/(32*b) + E^(4*a + 4*b*x)/(128*b) + E^(6*a + 6*b*x)/(192*b) - x/16","A",5,4,24,0.1667,1,"{2282, 12, 446, 88}"
915,1,69,0,0.0466618,"\int e^{a+b x} \cosh ^3(a+b x) \sinh (a+b x) \, dx","Int[E^(a + b*x)*Cosh[a + b*x]^3*Sinh[a + b*x],x]","\frac{e^{-3 a-3 b x}}{48 b}+\frac{e^{-a-b x}}{8 b}+\frac{e^{3 a+3 b x}}{24 b}+\frac{e^{5 a+5 b x}}{80 b}","\frac{e^{-3 a-3 b x}}{48 b}+\frac{e^{-a-b x}}{8 b}+\frac{e^{3 a+3 b x}}{24 b}+\frac{e^{5 a+5 b x}}{80 b}",1,"E^(-3*a - 3*b*x)/(48*b) + E^(-a - b*x)/(8*b) + E^(3*a + 3*b*x)/(24*b) + E^(5*a + 5*b*x)/(80*b)","A",4,3,22,0.1364,1,"{2282, 12, 448}"
916,1,59,0,0.0537115,"\int e^{a+b x} \cosh ^2(a+b x) \coth (a+b x) \, dx","Int[E^(a + b*x)*Cosh[a + b*x]^2*Coth[a + b*x],x]","\frac{e^{-a-b x}}{4 b}+\frac{e^{a+b x}}{b}+\frac{e^{3 a+3 b x}}{12 b}-\frac{2 \tanh ^{-1}\left(e^{a+b x}\right)}{b}","\frac{e^{-a-b x}}{4 b}+\frac{e^{a+b x}}{b}+\frac{e^{3 a+3 b x}}{12 b}-\frac{2 \tanh ^{-1}\left(e^{a+b x}\right)}{b}",1,"E^(-a - b*x)/(4*b) + E^(a + b*x)/b + E^(3*a + 3*b*x)/(12*b) - (2*ArcTanh[E^(a + b*x)])/b","A",5,4,22,0.1818,1,"{2282, 12, 461, 207}"
917,1,63,0,0.0645684,"\int e^{a+b x} \cosh (a+b x) \coth ^2(a+b x) \, dx","Int[E^(a + b*x)*Cosh[a + b*x]*Coth[a + b*x]^2,x]","\frac{e^{2 a+2 b x}}{4 b}+\frac{2}{b \left(1-e^{2 a+2 b x}\right)}+\frac{\log \left(1-e^{2 a+2 b x}\right)}{b}+\frac{x}{2}","\frac{e^{2 a+2 b x}}{4 b}+\frac{2}{b \left(1-e^{2 a+2 b x}\right)}+\frac{\log \left(1-e^{2 a+2 b x}\right)}{b}+\frac{x}{2}",1,"E^(2*a + 2*b*x)/(4*b) + 2/(b*(1 - E^(2*a + 2*b*x))) + x/2 + Log[1 - E^(2*a + 2*b*x)]/b","A",5,4,22,0.1818,1,"{2282, 12, 446, 88}"
918,1,81,0,0.0515906,"\int e^{a+b x} \coth ^3(a+b x) \, dx","Int[E^(a + b*x)*Coth[a + b*x]^3,x]","\frac{e^{a+b x}}{b}+\frac{3 e^{a+b x}}{b \left(1-e^{2 a+2 b x}\right)}-\frac{2 e^{a+b x}}{b \left(1-e^{2 a+2 b x}\right)^2}-\frac{3 \tanh ^{-1}\left(e^{a+b x}\right)}{b}","\frac{e^{a+b x}}{b}+\frac{3 e^{a+b x}}{b \left(1-e^{2 a+2 b x}\right)}-\frac{2 e^{a+b x}}{b \left(1-e^{2 a+2 b x}\right)^2}-\frac{3 \tanh ^{-1}\left(e^{a+b x}\right)}{b}",1,"E^(a + b*x)/b - (2*E^(a + b*x))/(b*(1 - E^(2*a + 2*b*x))^2) + (3*E^(a + b*x))/(b*(1 - E^(2*a + 2*b*x))) - (3*ArcTanh[E^(a + b*x)])/b","A",7,6,16,0.3750,1,"{2282, 390, 1158, 12, 288, 207}"
919,1,57,0,0.053828,"\int e^{2 (a+b x)} \cosh (a+b x) \sinh ^3(a+b x) \, dx","Int[E^(2*(a + b*x))*Cosh[a + b*x]*Sinh[a + b*x]^3,x]","\frac{e^{-2 a-2 b x}}{32 b}-\frac{e^{4 a+4 b x}}{32 b}+\frac{e^{6 a+6 b x}}{96 b}+\frac{x}{8}","\frac{e^{-2 a-2 b x}}{32 b}-\frac{e^{4 a+4 b x}}{32 b}+\frac{e^{6 a+6 b x}}{96 b}+\frac{x}{8}",1,"E^(-2*a - 2*b*x)/(32*b) - E^(4*a + 4*b*x)/(32*b) + E^(6*a + 6*b*x)/(96*b) + x/8","A",5,4,24,0.1667,1,"{2282, 12, 446, 75}"
920,1,66,0,0.049802,"\int e^{2 (a+b x)} \cosh (a+b x) \sinh ^2(a+b x) \, dx","Int[E^(2*(a + b*x))*Cosh[a + b*x]*Sinh[a + b*x]^2,x]","-\frac{e^{-a-b x}}{8 b}-\frac{e^{a+b x}}{8 b}-\frac{e^{3 a+3 b x}}{24 b}+\frac{e^{5 a+5 b x}}{40 b}","-\frac{e^{-a-b x}}{8 b}-\frac{e^{a+b x}}{8 b}-\frac{e^{3 a+3 b x}}{24 b}+\frac{e^{5 a+5 b x}}{40 b}",1,"-E^(-a - b*x)/(8*b) - E^(a + b*x)/(8*b) - E^(3*a + 3*b*x)/(24*b) + E^(5*a + 5*b*x)/(40*b)","A",4,3,24,0.1250,1,"{2282, 12, 448}"
921,1,23,0,0.0229656,"\int e^{2 (a+b x)} \cosh (a+b x) \sinh (a+b x) \, dx","Int[E^(2*(a + b*x))*Cosh[a + b*x]*Sinh[a + b*x],x]","\frac{e^{4 a+4 b x}}{16 b}-\frac{x}{4}","\frac{e^{4 a+4 b x}}{16 b}-\frac{x}{4}",1,"E^(4*a + 4*b*x)/(16*b) - x/4","A",4,3,22,0.1364,1,"{2282, 12, 14}"
922,1,37,0,0.032322,"\int e^{2 (a+b x)} \coth (a+b x) \, dx","Int[E^(2*(a + b*x))*Coth[a + b*x],x]","\frac{e^{2 a+2 b x}}{2 b}+\frac{\log \left(1-e^{2 a+2 b x}\right)}{b}","\frac{e^{2 a+2 b x}}{2 b}+\frac{\log \left(1-e^{2 a+2 b x}\right)}{b}",1,"E^(2*a + 2*b*x)/(2*b) + Log[1 - E^(2*a + 2*b*x)]/b","A",4,3,16,0.1875,1,"{2282, 444, 43}"
923,1,54,0,0.0434778,"\int e^{2 (a+b x)} \coth (a+b x) \text{csch}(a+b x) \, dx","Int[E^(2*(a + b*x))*Coth[a + b*x]*Csch[a + b*x],x]","\frac{2 e^{a+b x}}{b}+\frac{2 e^{a+b x}}{b \left(1-e^{2 a+2 b x}\right)}-\frac{4 \tanh ^{-1}\left(e^{a+b x}\right)}{b}","\frac{2 e^{a+b x}}{b}+\frac{2 e^{a+b x}}{b \left(1-e^{2 a+2 b x}\right)}-\frac{4 \tanh ^{-1}\left(e^{a+b x}\right)}{b}",1,"(2*E^(a + b*x))/b + (2*E^(a + b*x))/(b*(1 - E^(2*a + 2*b*x))) - (4*ArcTanh[E^(a + b*x)])/b","A",5,5,22,0.2273,1,"{2282, 12, 455, 388, 206}"
924,1,63,0,0.0721251,"\int e^{2 (a+b x)} \coth (a+b x) \text{csch}^2(a+b x) \, dx","Int[E^(2*(a + b*x))*Coth[a + b*x]*Csch[a + b*x]^2,x]","\frac{6}{b \left(1-e^{2 a+2 b x}\right)}-\frac{2}{b \left(1-e^{2 a+2 b x}\right)^2}+\frac{2 \log \left(1-e^{2 a+2 b x}\right)}{b}","\frac{6}{b \left(1-e^{2 a+2 b x}\right)}-\frac{2}{b \left(1-e^{2 a+2 b x}\right)^2}+\frac{2 \log \left(1-e^{2 a+2 b x}\right)}{b}",1,"-2/(b*(1 - E^(2*a + 2*b*x))^2) + 6/(b*(1 - E^(2*a + 2*b*x))) + (2*Log[1 - E^(2*a + 2*b*x)])/b","A",5,4,24,0.1667,1,"{2282, 12, 446, 77}"
925,1,100,0,0.0778496,"\int e^{2 (a+b x)} \cosh ^2(a+b x) \sinh ^3(a+b x) \, dx","Int[E^(2*(a + b*x))*Cosh[a + b*x]^2*Sinh[a + b*x]^3,x]","\frac{e^{-3 a-3 b x}}{96 b}-\frac{e^{-a-b x}}{32 b}+\frac{e^{a+b x}}{16 b}-\frac{e^{3 a+3 b x}}{48 b}-\frac{e^{5 a+5 b x}}{160 b}+\frac{e^{7 a+7 b x}}{224 b}","\frac{e^{-3 a-3 b x}}{96 b}-\frac{e^{-a-b x}}{32 b}+\frac{e^{a+b x}}{16 b}-\frac{e^{3 a+3 b x}}{48 b}-\frac{e^{5 a+5 b x}}{160 b}+\frac{e^{7 a+7 b x}}{224 b}",1,"E^(-3*a - 3*b*x)/(96*b) - E^(-a - b*x)/(32*b) + E^(a + b*x)/(16*b) - E^(3*a + 3*b*x)/(48*b) - E^(5*a + 5*b*x)/(160*b) + E^(7*a + 7*b*x)/(224*b)","A",4,3,26,0.1154,1,"{2282, 12, 448}"
926,1,52,0,0.0592756,"\int e^{2 (a+b x)} \cosh ^2(a+b x) \sinh ^2(a+b x) \, dx","Int[E^(2*(a + b*x))*Cosh[a + b*x]^2*Sinh[a + b*x]^2,x]","-\frac{e^{-2 a-2 b x}}{32 b}-\frac{e^{2 a+2 b x}}{16 b}+\frac{e^{6 a+6 b x}}{96 b}","-\frac{e^{-2 a-2 b x}}{32 b}-\frac{e^{2 a+2 b x}}{16 b}+\frac{e^{6 a+6 b x}}{96 b}",1,"-E^(-2*a - 2*b*x)/(32*b) - E^(2*a + 2*b*x)/(16*b) + E^(6*a + 6*b*x)/(96*b)","A",4,3,26,0.1154,1,"{2282, 12, 270}"
927,1,66,0,0.0466779,"\int e^{2 (a+b x)} \cosh ^2(a+b x) \sinh (a+b x) \, dx","Int[E^(2*(a + b*x))*Cosh[a + b*x]^2*Sinh[a + b*x],x]","\frac{e^{-a-b x}}{8 b}-\frac{e^{a+b x}}{8 b}+\frac{e^{3 a+3 b x}}{24 b}+\frac{e^{5 a+5 b x}}{40 b}","\frac{e^{-a-b x}}{8 b}-\frac{e^{a+b x}}{8 b}+\frac{e^{3 a+3 b x}}{24 b}+\frac{e^{5 a+5 b x}}{40 b}",1,"E^(-a - b*x)/(8*b) - E^(a + b*x)/(8*b) + E^(3*a + 3*b*x)/(24*b) + E^(5*a + 5*b*x)/(40*b)","A",4,3,24,0.1250,1,"{2282, 12, 448}"
928,1,45,0,0.0341525,"\int e^{2 (a+b x)} \cosh (a+b x) \coth (a+b x) \, dx","Int[E^(2*(a + b*x))*Cosh[a + b*x]*Coth[a + b*x],x]","\frac{3 e^{a+b x}}{2 b}+\frac{e^{3 a+3 b x}}{6 b}-\frac{2 \tanh ^{-1}\left(e^{a+b x}\right)}{b}","\frac{3 e^{a+b x}}{2 b}+\frac{e^{3 a+3 b x}}{6 b}-\frac{2 \tanh ^{-1}\left(e^{a+b x}\right)}{b}",1,"(3*E^(a + b*x))/(2*b) + E^(3*a + 3*b*x)/(6*b) - (2*ArcTanh[E^(a + b*x)])/b","A",5,4,22,0.1818,1,"{2282, 12, 390, 207}"
929,1,59,0,0.0496781,"\int e^{2 (a+b x)} \coth ^2(a+b x) \, dx","Int[E^(2*(a + b*x))*Coth[a + b*x]^2,x]","\frac{e^{2 a+2 b x}}{2 b}+\frac{2}{b \left(1-e^{2 a+2 b x}\right)}+\frac{2 \log \left(1-e^{2 a+2 b x}\right)}{b}","\frac{e^{2 a+2 b x}}{2 b}+\frac{2}{b \left(1-e^{2 a+2 b x}\right)}+\frac{2 \log \left(1-e^{2 a+2 b x}\right)}{b}",1,"E^(2*a + 2*b*x)/(2*b) + 2/(b*(1 - E^(2*a + 2*b*x))) + (2*Log[1 - E^(2*a + 2*b*x)])/b","A",4,3,18,0.1667,1,"{2282, 444, 43}"
930,1,85,0,0.0684383,"\int e^{2 (a+b x)} \coth ^2(a+b x) \text{csch}(a+b x) \, dx","Int[E^(2*(a + b*x))*Coth[a + b*x]^2*Csch[a + b*x],x]","\frac{2 e^{a+b x}}{b}+\frac{3 e^{a+b x}}{b \left(1-e^{2 a+2 b x}\right)}-\frac{2 e^{3 a+3 b x}}{b \left(1-e^{2 a+2 b x}\right)^2}-\frac{5 \tanh ^{-1}\left(e^{a+b x}\right)}{b}","\frac{2 e^{a+b x}}{b}+\frac{3 e^{a+b x}}{b \left(1-e^{2 a+2 b x}\right)}-\frac{2 e^{3 a+3 b x}}{b \left(1-e^{2 a+2 b x}\right)^2}-\frac{5 \tanh ^{-1}\left(e^{a+b x}\right)}{b}",1,"(2*E^(a + b*x))/b - (2*E^(3*a + 3*b*x))/(b*(1 - E^(2*a + 2*b*x))^2) + (3*E^(a + b*x))/(b*(1 - E^(2*a + 2*b*x))) - (5*ArcTanh[E^(a + b*x)])/b","A",6,6,24,0.2500,1,"{2282, 12, 463, 455, 388, 207}"
931,1,57,0,0.0624658,"\int e^{2 (a+b x)} \cosh ^3(a+b x) \sinh ^3(a+b x) \, dx","Int[E^(2*(a + b*x))*Cosh[a + b*x]^3*Sinh[a + b*x]^3,x]","\frac{e^{-4 a-4 b x}}{256 b}-\frac{3 e^{4 a+4 b x}}{256 b}+\frac{e^{8 a+8 b x}}{512 b}+\frac{3 x}{64}","\frac{e^{-4 a-4 b x}}{256 b}-\frac{3 e^{4 a+4 b x}}{256 b}+\frac{e^{8 a+8 b x}}{512 b}+\frac{3 x}{64}",1,"E^(-4*a - 4*b*x)/(256*b) - (3*E^(4*a + 4*b*x))/(256*b) + E^(8*a + 8*b*x)/(512*b) + (3*x)/64","A",5,4,26,0.1538,1,"{2282, 12, 266, 43}"
932,1,100,0,0.0735327,"\int e^{2 (a+b x)} \cosh ^3(a+b x) \sinh ^2(a+b x) \, dx","Int[E^(2*(a + b*x))*Cosh[a + b*x]^3*Sinh[a + b*x]^2,x]","-\frac{e^{-3 a-3 b x}}{96 b}-\frac{e^{-a-b x}}{32 b}-\frac{e^{a+b x}}{16 b}-\frac{e^{3 a+3 b x}}{48 b}+\frac{e^{5 a+5 b x}}{160 b}+\frac{e^{7 a+7 b x}}{224 b}","-\frac{e^{-3 a-3 b x}}{96 b}-\frac{e^{-a-b x}}{32 b}-\frac{e^{a+b x}}{16 b}-\frac{e^{3 a+3 b x}}{48 b}+\frac{e^{5 a+5 b x}}{160 b}+\frac{e^{7 a+7 b x}}{224 b}",1,"-E^(-3*a - 3*b*x)/(96*b) - E^(-a - b*x)/(32*b) - E^(a + b*x)/(16*b) - E^(3*a + 3*b*x)/(48*b) + E^(5*a + 5*b*x)/(160*b) + E^(7*a + 7*b*x)/(224*b)","A",4,3,26,0.1154,1,"{2282, 12, 448}"
933,1,57,0,0.0522093,"\int e^{2 (a+b x)} \cosh ^3(a+b x) \sinh (a+b x) \, dx","Int[E^(2*(a + b*x))*Cosh[a + b*x]^3*Sinh[a + b*x],x]","\frac{e^{-2 a-2 b x}}{32 b}+\frac{e^{4 a+4 b x}}{32 b}+\frac{e^{6 a+6 b x}}{96 b}-\frac{x}{8}","\frac{e^{-2 a-2 b x}}{32 b}+\frac{e^{4 a+4 b x}}{32 b}+\frac{e^{6 a+6 b x}}{96 b}-\frac{x}{8}",1,"E^(-2*a - 2*b*x)/(32*b) + E^(4*a + 4*b*x)/(32*b) + E^(6*a + 6*b*x)/(96*b) - x/8","A",5,4,24,0.1667,1,"{2282, 12, 446, 75}"
934,1,59,0,0.0603323,"\int e^{2 (a+b x)} \cosh ^2(a+b x) \coth (a+b x) \, dx","Int[E^(2*(a + b*x))*Cosh[a + b*x]^2*Coth[a + b*x],x]","\frac{e^{2 a+2 b x}}{2 b}+\frac{e^{4 a+4 b x}}{16 b}+\frac{\log \left(1-e^{2 a+2 b x}\right)}{b}-\frac{x}{4}","\frac{e^{2 a+2 b x}}{2 b}+\frac{e^{4 a+4 b x}}{16 b}+\frac{\log \left(1-e^{2 a+2 b x}\right)}{b}-\frac{x}{4}",1,"E^(2*a + 2*b*x)/(2*b) + E^(4*a + 4*b*x)/(16*b) - x/4 + Log[1 - E^(2*a + 2*b*x)]/b","A",5,4,24,0.1667,1,"{2282, 12, 446, 72}"
935,1,73,0,0.0537078,"\int e^{2 (a+b x)} \cosh (a+b x) \coth ^2(a+b x) \, dx","Int[E^(2*(a + b*x))*Cosh[a + b*x]*Coth[a + b*x]^2,x]","\frac{5 e^{a+b x}}{2 b}+\frac{e^{3 a+3 b x}}{6 b}+\frac{2 e^{a+b x}}{b \left(1-e^{2 a+2 b x}\right)}-\frac{4 \tanh ^{-1}\left(e^{a+b x}\right)}{b}","\frac{5 e^{a+b x}}{2 b}+\frac{e^{3 a+3 b x}}{6 b}+\frac{2 e^{a+b x}}{b \left(1-e^{2 a+2 b x}\right)}-\frac{4 \tanh ^{-1}\left(e^{a+b x}\right)}{b}",1,"(5*E^(a + b*x))/(2*b) + E^(3*a + 3*b*x)/(6*b) + (2*E^(a + b*x))/(b*(1 - E^(2*a + 2*b*x))) - (4*ArcTanh[E^(a + b*x)])/b","A",6,5,24,0.2083,1,"{2282, 12, 390, 385, 206}"
936,1,80,0,0.06267,"\int e^{2 (a+b x)} \coth ^3(a+b x) \, dx","Int[E^(2*(a + b*x))*Coth[a + b*x]^3,x]","\frac{e^{2 a+2 b x}}{2 b}+\frac{6}{b \left(1-e^{2 a+2 b x}\right)}-\frac{2}{b \left(1-e^{2 a+2 b x}\right)^2}+\frac{3 \log \left(1-e^{2 a+2 b x}\right)}{b}","\frac{e^{2 a+2 b x}}{2 b}+\frac{6}{b \left(1-e^{2 a+2 b x}\right)}-\frac{2}{b \left(1-e^{2 a+2 b x}\right)^2}+\frac{3 \log \left(1-e^{2 a+2 b x}\right)}{b}",1,"E^(2*a + 2*b*x)/(2*b) - 2/(b*(1 - E^(2*a + 2*b*x))^2) + 6/(b*(1 - E^(2*a + 2*b*x))) + (3*Log[1 - E^(2*a + 2*b*x)])/b","A",4,3,18,0.1667,1,"{2282, 444, 43}"
937,1,113,0,0.0820164,"\int e^x \text{sech}(2 x) \tanh (2 x) \, dx","Int[E^x*Sech[2*x]*Tanh[2*x],x]","-\frac{e^{3 x}}{e^{4 x}+1}+\frac{\log \left(-\sqrt{2} e^x+e^{2 x}+1\right)}{4 \sqrt{2}}-\frac{\log \left(\sqrt{2} e^x+e^{2 x}+1\right)}{4 \sqrt{2}}-\frac{\tan ^{-1}\left(1-\sqrt{2} e^x\right)}{2 \sqrt{2}}+\frac{\tan ^{-1}\left(\sqrt{2} e^x+1\right)}{2 \sqrt{2}}","-\frac{e^{3 x}}{e^{4 x}+1}+\frac{\log \left(-\sqrt{2} e^x+e^{2 x}+1\right)}{4 \sqrt{2}}-\frac{\log \left(\sqrt{2} e^x+e^{2 x}+1\right)}{4 \sqrt{2}}-\frac{\tan ^{-1}\left(1-\sqrt{2} e^x\right)}{2 \sqrt{2}}+\frac{\tan ^{-1}\left(\sqrt{2} e^x+1\right)}{2 \sqrt{2}}",1,"-(E^(3*x)/(1 + E^(4*x))) - ArcTan[1 - Sqrt[2]*E^x]/(2*Sqrt[2]) + ArcTan[1 + Sqrt[2]*E^x]/(2*Sqrt[2]) + Log[1 - Sqrt[2]*E^x + E^(2*x)]/(4*Sqrt[2]) - Log[1 + Sqrt[2]*E^x + E^(2*x)]/(4*Sqrt[2])","A",12,9,12,0.7500,1,"{2282, 12, 457, 297, 1162, 617, 204, 1165, 628}"
938,1,129,0,0.0960216,"\int e^x \text{sech}^2(2 x) \tanh (2 x) \, dx","Int[E^x*Sech[2*x]^2*Tanh[2*x],x]","-\frac{e^x}{4 \left(e^{4 x}+1\right)}-\frac{e^{5 x}}{\left(e^{4 x}+1\right)^2}-\frac{\log \left(-\sqrt{2} e^x+e^{2 x}+1\right)}{16 \sqrt{2}}+\frac{\log \left(\sqrt{2} e^x+e^{2 x}+1\right)}{16 \sqrt{2}}-\frac{\tan ^{-1}\left(1-\sqrt{2} e^x\right)}{8 \sqrt{2}}+\frac{\tan ^{-1}\left(\sqrt{2} e^x+1\right)}{8 \sqrt{2}}","-\frac{e^x}{4 \left(e^{4 x}+1\right)}-\frac{e^{5 x}}{\left(e^{4 x}+1\right)^2}-\frac{\log \left(-\sqrt{2} e^x+e^{2 x}+1\right)}{16 \sqrt{2}}+\frac{\log \left(\sqrt{2} e^x+e^{2 x}+1\right)}{16 \sqrt{2}}-\frac{\tan ^{-1}\left(1-\sqrt{2} e^x\right)}{8 \sqrt{2}}+\frac{\tan ^{-1}\left(\sqrt{2} e^x+1\right)}{8 \sqrt{2}}",1,"-(E^(5*x)/(1 + E^(4*x))^2) - E^x/(4*(1 + E^(4*x))) - ArcTan[1 - Sqrt[2]*E^x]/(8*Sqrt[2]) + ArcTan[1 + Sqrt[2]*E^x]/(8*Sqrt[2]) - Log[1 - Sqrt[2]*E^x + E^(2*x)]/(16*Sqrt[2]) + Log[1 + Sqrt[2]*E^x + E^(2*x)]/(16*Sqrt[2])","A",13,10,14,0.7143,1,"{2282, 12, 457, 288, 211, 1165, 628, 1162, 617, 204}"
939,1,130,0,0.1062342,"\int e^x \text{sech}(2 x) \tanh ^2(2 x) \, dx","Int[E^x*Sech[2*x]*Tanh[2*x]^2,x]","-\frac{3 e^{3 x}}{4 \left(e^{4 x}+1\right)}+\frac{e^{3 x}}{\left(e^{4 x}+1\right)^2}+\frac{5 \log \left(-\sqrt{2} e^x+e^{2 x}+1\right)}{16 \sqrt{2}}-\frac{5 \log \left(\sqrt{2} e^x+e^{2 x}+1\right)}{16 \sqrt{2}}-\frac{5 \tan ^{-1}\left(1-\sqrt{2} e^x\right)}{8 \sqrt{2}}+\frac{5 \tan ^{-1}\left(\sqrt{2} e^x+1\right)}{8 \sqrt{2}}","-\frac{3 e^{3 x}}{4 \left(e^{4 x}+1\right)}+\frac{e^{3 x}}{\left(e^{4 x}+1\right)^2}+\frac{5 \log \left(-\sqrt{2} e^x+e^{2 x}+1\right)}{16 \sqrt{2}}-\frac{5 \log \left(\sqrt{2} e^x+e^{2 x}+1\right)}{16 \sqrt{2}}-\frac{5 \tan ^{-1}\left(1-\sqrt{2} e^x\right)}{8 \sqrt{2}}+\frac{5 \tan ^{-1}\left(\sqrt{2} e^x+1\right)}{8 \sqrt{2}}",1,"E^(3*x)/(1 + E^(4*x))^2 - (3*E^(3*x))/(4*(1 + E^(4*x))) - (5*ArcTan[1 - Sqrt[2]*E^x])/(8*Sqrt[2]) + (5*ArcTan[1 + Sqrt[2]*E^x])/(8*Sqrt[2]) + (5*Log[1 - Sqrt[2]*E^x + E^(2*x)])/(16*Sqrt[2]) - (5*Log[1 + Sqrt[2]*E^x + E^(2*x)])/(16*Sqrt[2])","A",13,10,14,0.7143,1,"{2282, 12, 463, 457, 297, 1162, 617, 204, 1165, 628}"
940,1,149,0,0.1276631,"\int e^x \text{sech}^2(2 x) \tanh ^2(2 x) \, dx","Int[E^x*Sech[2*x]^2*Tanh[2*x]^2,x]","-\frac{3 e^x}{8 \left(e^{4 x}+1\right)}-\frac{5 e^{5 x}}{6 \left(e^{4 x}+1\right)^2}+\frac{4 e^{5 x}}{3 \left(e^{4 x}+1\right)^3}-\frac{3 \log \left(-\sqrt{2} e^x+e^{2 x}+1\right)}{32 \sqrt{2}}+\frac{3 \log \left(\sqrt{2} e^x+e^{2 x}+1\right)}{32 \sqrt{2}}-\frac{3 \tan ^{-1}\left(1-\sqrt{2} e^x\right)}{16 \sqrt{2}}+\frac{3 \tan ^{-1}\left(\sqrt{2} e^x+1\right)}{16 \sqrt{2}}","-\frac{3 e^x}{8 \left(e^{4 x}+1\right)}-\frac{5 e^{5 x}}{6 \left(e^{4 x}+1\right)^2}+\frac{4 e^{5 x}}{3 \left(e^{4 x}+1\right)^3}-\frac{3 \log \left(-\sqrt{2} e^x+e^{2 x}+1\right)}{32 \sqrt{2}}+\frac{3 \log \left(\sqrt{2} e^x+e^{2 x}+1\right)}{32 \sqrt{2}}-\frac{3 \tan ^{-1}\left(1-\sqrt{2} e^x\right)}{16 \sqrt{2}}+\frac{3 \tan ^{-1}\left(\sqrt{2} e^x+1\right)}{16 \sqrt{2}}",1,"(4*E^(5*x))/(3*(1 + E^(4*x))^3) - (5*E^(5*x))/(6*(1 + E^(4*x))^2) - (3*E^x)/(8*(1 + E^(4*x))) - (3*ArcTan[1 - Sqrt[2]*E^x])/(16*Sqrt[2]) + (3*ArcTan[1 + Sqrt[2]*E^x])/(16*Sqrt[2]) - (3*Log[1 - Sqrt[2]*E^x + E^(2*x)])/(32*Sqrt[2]) + (3*Log[1 + Sqrt[2]*E^x + E^(2*x)])/(32*Sqrt[2])","A",14,11,16,0.6875,1,"{2282, 12, 463, 457, 288, 211, 1165, 628, 1162, 617, 204}"
941,1,34,0,0.0283708,"\int e^x \coth (2 x) \text{csch}(2 x) \, dx","Int[E^x*Coth[2*x]*Csch[2*x],x]","\frac{e^{3 x}}{1-e^{4 x}}+\frac{1}{2} \tan ^{-1}\left(e^x\right)-\frac{1}{2} \tanh ^{-1}\left(e^x\right)","\frac{e^{3 x}}{1-e^{4 x}}+\frac{1}{2} \tan ^{-1}\left(e^x\right)-\frac{1}{2} \tanh ^{-1}\left(e^x\right)",1,"E^(3*x)/(1 - E^(4*x)) + ArcTan[E^x]/2 - ArcTanh[E^x]/2","A",6,6,12,0.5000,1,"{2282, 12, 457, 298, 203, 206}"
942,1,53,0,0.0423016,"\int e^x \coth (2 x) \text{csch}^2(2 x) \, dx","Int[E^x*Coth[2*x]*Csch[2*x]^2,x]","\frac{e^x}{4 \left(1-e^{4 x}\right)}-\frac{e^{5 x}}{\left(1-e^{4 x}\right)^2}-\frac{1}{8} \tan ^{-1}\left(e^x\right)-\frac{1}{8} \tanh ^{-1}\left(e^x\right)","\frac{e^x}{4 \left(1-e^{4 x}\right)}-\frac{e^{5 x}}{\left(1-e^{4 x}\right)^2}-\frac{1}{8} \tan ^{-1}\left(e^x\right)-\frac{1}{8} \tanh ^{-1}\left(e^x\right)",1,"-(E^(5*x)/(1 - E^(4*x))^2) + E^x/(4*(1 - E^(4*x))) - ArcTan[E^x]/8 - ArcTanh[E^x]/8","A",7,7,14,0.5000,1,"{2282, 12, 457, 288, 212, 206, 203}"
943,1,55,0,0.0480443,"\int e^x \coth ^2(2 x) \text{csch}(2 x) \, dx","Int[E^x*Coth[2*x]^2*Csch[2*x],x]","\frac{3 e^{3 x}}{4 \left(1-e^{4 x}\right)}-\frac{e^{3 x}}{\left(1-e^{4 x}\right)^2}+\frac{5}{8} \tan ^{-1}\left(e^x\right)-\frac{5}{8} \tanh ^{-1}\left(e^x\right)","\frac{3 e^{3 x}}{4 \left(1-e^{4 x}\right)}-\frac{e^{3 x}}{\left(1-e^{4 x}\right)^2}+\frac{5}{8} \tan ^{-1}\left(e^x\right)-\frac{5}{8} \tanh ^{-1}\left(e^x\right)",1,"-(E^(3*x)/(1 - E^(4*x))^2) + (3*E^(3*x))/(4*(1 - E^(4*x))) + (5*ArcTan[E^x])/8 - (5*ArcTanh[E^x])/8","A",7,7,14,0.5000,1,"{2282, 12, 463, 457, 298, 203, 206}"
944,1,75,0,0.0669314,"\int e^x \coth ^2(2 x) \text{csch}^2(2 x) \, dx","Int[E^x*Coth[2*x]^2*Csch[2*x]^2,x]","\frac{3 e^x}{8 \left(1-e^{4 x}\right)}-\frac{5 e^{5 x}}{6 \left(1-e^{4 x}\right)^2}+\frac{4 e^{5 x}}{3 \left(1-e^{4 x}\right)^3}-\frac{3}{16} \tan ^{-1}\left(e^x\right)-\frac{3}{16} \tanh ^{-1}\left(e^x\right)","\frac{3 e^x}{8 \left(1-e^{4 x}\right)}-\frac{5 e^{5 x}}{6 \left(1-e^{4 x}\right)^2}+\frac{4 e^{5 x}}{3 \left(1-e^{4 x}\right)^3}-\frac{3}{16} \tan ^{-1}\left(e^x\right)-\frac{3}{16} \tanh ^{-1}\left(e^x\right)",1,"(4*E^(5*x))/(3*(1 - E^(4*x))^3) - (5*E^(5*x))/(6*(1 - E^(4*x))^2) + (3*E^x)/(8*(1 - E^(4*x))) - (3*ArcTan[E^x])/16 - (3*ArcTanh[E^x])/16","A",8,8,16,0.5000,1,"{2282, 12, 463, 457, 288, 212, 206, 203}"
945,1,137,0,0.1012856,"\int e^{c+d x} \cosh (a+b x) \sinh ^3(a+b x) \, dx","Int[E^(c + d*x)*Cosh[a + b*x]*Sinh[a + b*x]^3,x]","\frac{d e^{c+d x} \sinh (2 a+2 b x)}{4 \left(4 b^2-d^2\right)}-\frac{d e^{c+d x} \sinh (4 a+4 b x)}{8 \left(16 b^2-d^2\right)}-\frac{b e^{c+d x} \cosh (2 a+2 b x)}{2 \left(4 b^2-d^2\right)}+\frac{b e^{c+d x} \cosh (4 a+4 b x)}{2 \left(16 b^2-d^2\right)}","\frac{d e^{c+d x} \sinh (2 a+2 b x)}{4 \left(4 b^2-d^2\right)}-\frac{d e^{c+d x} \sinh (4 a+4 b x)}{8 \left(16 b^2-d^2\right)}-\frac{b e^{c+d x} \cosh (2 a+2 b x)}{2 \left(4 b^2-d^2\right)}+\frac{b e^{c+d x} \cosh (4 a+4 b x)}{2 \left(16 b^2-d^2\right)}",1,"-(b*E^(c + d*x)*Cosh[2*a + 2*b*x])/(2*(4*b^2 - d^2)) + (b*E^(c + d*x)*Cosh[4*a + 4*b*x])/(2*(16*b^2 - d^2)) + (d*E^(c + d*x)*Sinh[2*a + 2*b*x])/(4*(4*b^2 - d^2)) - (d*E^(c + d*x)*Sinh[4*a + 4*b*x])/(8*(16*b^2 - d^2))","A",4,2,22,0.09091,1,"{5509, 5474}"
946,1,127,0,0.0907898,"\int e^{c+d x} \cosh (a+b x) \sinh ^2(a+b x) \, dx","Int[E^(c + d*x)*Cosh[a + b*x]*Sinh[a + b*x]^2,x]","-\frac{b e^{c+d x} \sinh (a+b x)}{4 \left(b^2-d^2\right)}+\frac{3 b e^{c+d x} \sinh (3 a+3 b x)}{4 \left(9 b^2-d^2\right)}+\frac{d e^{c+d x} \cosh (a+b x)}{4 \left(b^2-d^2\right)}-\frac{d e^{c+d x} \cosh (3 a+3 b x)}{4 \left(9 b^2-d^2\right)}","-\frac{b e^{c+d x} \sinh (a+b x)}{4 \left(b^2-d^2\right)}+\frac{3 b e^{c+d x} \sinh (3 a+3 b x)}{4 \left(9 b^2-d^2\right)}+\frac{d e^{c+d x} \cosh (a+b x)}{4 \left(b^2-d^2\right)}-\frac{d e^{c+d x} \cosh (3 a+3 b x)}{4 \left(9 b^2-d^2\right)}",1,"(d*E^(c + d*x)*Cosh[a + b*x])/(4*(b^2 - d^2)) - (d*E^(c + d*x)*Cosh[3*a + 3*b*x])/(4*(9*b^2 - d^2)) - (b*E^(c + d*x)*Sinh[a + b*x])/(4*(b^2 - d^2)) + (3*b*E^(c + d*x)*Sinh[3*a + 3*b*x])/(4*(9*b^2 - d^2))","A",4,2,22,0.09091,1,"{5509, 5475}"
947,1,66,0,0.0471871,"\int e^{c+d x} \cosh (a+b x) \sinh (a+b x) \, dx","Int[E^(c + d*x)*Cosh[a + b*x]*Sinh[a + b*x],x]","\frac{b e^{c+d x} \cosh (2 a+2 b x)}{4 b^2-d^2}-\frac{d e^{c+d x} \sinh (2 a+2 b x)}{2 \left(4 b^2-d^2\right)}","\frac{b e^{c+d x} \cosh (2 a+2 b x)}{4 b^2-d^2}-\frac{d e^{c+d x} \sinh (2 a+2 b x)}{2 \left(4 b^2-d^2\right)}",1,"(b*E^(c + d*x)*Cosh[2*a + 2*b*x])/(4*b^2 - d^2) - (d*E^(c + d*x)*Sinh[2*a + 2*b*x])/(2*(4*b^2 - d^2))","A",3,3,20,0.1500,1,"{5509, 12, 5474}"
948,1,54,0,0.0168503,"\int e^{c+d x} \cosh (a+b x) \, dx","Int[E^(c + d*x)*Cosh[a + b*x],x]","\frac{b e^{c+d x} \sinh (a+b x)}{b^2-d^2}-\frac{d e^{c+d x} \cosh (a+b x)}{b^2-d^2}","\frac{b e^{c+d x} \sinh (a+b x)}{b^2-d^2}-\frac{d e^{c+d x} \cosh (a+b x)}{b^2-d^2}",1,"-((d*E^(c + d*x)*Cosh[a + b*x])/(b^2 - d^2)) + (b*E^(c + d*x)*Sinh[a + b*x])/(b^2 - d^2)","A",1,1,14,0.07143,1,"{5475}"
949,1,53,0,0.0645266,"\int e^{c+d x} \coth (a+b x) \, dx","Int[E^(c + d*x)*Coth[a + b*x],x]","\frac{e^{c+d x}}{d}-\frac{2 e^{c+d x} \, _2F_1\left(1,\frac{d}{2 b};\frac{d}{2 b}+1;e^{2 (a+b x)}\right)}{d}","\frac{e^{c+d x}}{d}-\frac{2 e^{c+d x} \, _2F_1\left(1,\frac{d}{2 b};\frac{d}{2 b}+1;e^{2 (a+b x)}\right)}{d}",1,"E^(c + d*x)/d - (2*E^(c + d*x)*Hypergeometric2F1[1, d/(2*b), 1 + d/(2*b), E^(2*(a + b*x))])/d","A",4,3,14,0.2143,1,"{5485, 2194, 2251}"
950,1,101,0,0.249677,"\int e^{c+d x} \coth (a+b x) \text{csch}(a+b x) \, dx","Int[E^(c + d*x)*Coth[a + b*x]*Csch[a + b*x],x]","\frac{4 e^{a+x (b+d)+c} \, _2F_1\left(2,\frac{b+d}{2 b};\frac{3 b+d}{2 b};e^{2 (a+b x)}\right)}{b+d}-\frac{2 e^{a+x (b+d)+c} \, _2F_1\left(1,\frac{b+d}{2 b};\frac{3 b+d}{2 b};e^{2 (a+b x)}\right)}{b+d}","\frac{4 e^{a+x (b+d)+c} \, _2F_1\left(2,\frac{b+d}{2 b};\frac{3 b+d}{2 b};e^{2 (a+b x)}\right)}{b+d}-\frac{2 e^{a+x (b+d)+c} \, _2F_1\left(1,\frac{b+d}{2 b};\frac{3 b+d}{2 b};e^{2 (a+b x)}\right)}{b+d}",1,"(-2*E^(a + c + (b + d)*x)*Hypergeometric2F1[1, (b + d)/(2*b), (3*b + d)/(2*b), E^(2*(a + b*x))])/(b + d) + (4*E^(a + c + (b + d)*x)*Hypergeometric2F1[2, (b + d)/(2*b), (3*b + d)/(2*b), E^(2*(a + b*x))])/(b + d)","A",4,2,20,0.1000,1,"{5511, 2251}"
951,1,113,0,0.2726876,"\int e^{c+d x} \coth (a+b x) \text{csch}^2(a+b x) \, dx","Int[E^(c + d*x)*Coth[a + b*x]*Csch[a + b*x]^2,x]","\frac{4 e^{2 a+x (2 b+d)+c} \, _2F_1\left(2,\frac{1}{2} \left(\frac{d}{b}+2\right);\frac{1}{2} \left(\frac{d}{b}+4\right);e^{2 (a+b x)}\right)}{2 b+d}-\frac{8 e^{2 a+x (2 b+d)+c} \, _2F_1\left(3,\frac{1}{2} \left(\frac{d}{b}+2\right);\frac{1}{2} \left(\frac{d}{b}+4\right);e^{2 (a+b x)}\right)}{2 b+d}","\frac{4 e^{2 a+x (2 b+d)+c} \, _2F_1\left(2,\frac{1}{2} \left(\frac{d}{b}+2\right);\frac{1}{2} \left(\frac{d}{b}+4\right);e^{2 (a+b x)}\right)}{2 b+d}-\frac{8 e^{2 a+x (2 b+d)+c} \, _2F_1\left(3,\frac{1}{2} \left(\frac{d}{b}+2\right);\frac{1}{2} \left(\frac{d}{b}+4\right);e^{2 (a+b x)}\right)}{2 b+d}",1,"(4*E^(2*a + c + (2*b + d)*x)*Hypergeometric2F1[2, (2 + d/b)/2, (4 + d/b)/2, E^(2*(a + b*x))])/(2*b + d) - (8*E^(2*a + c + (2*b + d)*x)*Hypergeometric2F1[3, (2 + d/b)/2, (4 + d/b)/2, E^(2*(a + b*x))])/(2*b + d)","A",4,2,22,0.09091,1,"{5511, 2251}"
952,1,195,0,0.1362033,"\int e^{c+d x} \cosh ^2(a+b x) \sinh ^3(a+b x) \, dx","Int[E^(c + d*x)*Cosh[a + b*x]^2*Sinh[a + b*x]^3,x]","\frac{d e^{c+d x} \sinh (a+b x)}{8 \left(b^2-d^2\right)}+\frac{d e^{c+d x} \sinh (3 a+3 b x)}{16 \left(9 b^2-d^2\right)}-\frac{d e^{c+d x} \sinh (5 a+5 b x)}{16 \left(25 b^2-d^2\right)}-\frac{b e^{c+d x} \cosh (a+b x)}{8 \left(b^2-d^2\right)}-\frac{3 b e^{c+d x} \cosh (3 a+3 b x)}{16 \left(9 b^2-d^2\right)}+\frac{5 b e^{c+d x} \cosh (5 a+5 b x)}{16 \left(25 b^2-d^2\right)}","\frac{d e^{c+d x} \sinh (a+b x)}{8 \left(b^2-d^2\right)}+\frac{d e^{c+d x} \sinh (3 a+3 b x)}{16 \left(9 b^2-d^2\right)}-\frac{d e^{c+d x} \sinh (5 a+5 b x)}{16 \left(25 b^2-d^2\right)}-\frac{b e^{c+d x} \cosh (a+b x)}{8 \left(b^2-d^2\right)}-\frac{3 b e^{c+d x} \cosh (3 a+3 b x)}{16 \left(9 b^2-d^2\right)}+\frac{5 b e^{c+d x} \cosh (5 a+5 b x)}{16 \left(25 b^2-d^2\right)}",1,"-(b*E^(c + d*x)*Cosh[a + b*x])/(8*(b^2 - d^2)) - (3*b*E^(c + d*x)*Cosh[3*a + 3*b*x])/(16*(9*b^2 - d^2)) + (5*b*E^(c + d*x)*Cosh[5*a + 5*b*x])/(16*(25*b^2 - d^2)) + (d*E^(c + d*x)*Sinh[a + b*x])/(8*(b^2 - d^2)) + (d*E^(c + d*x)*Sinh[3*a + 3*b*x])/(16*(9*b^2 - d^2)) - (d*E^(c + d*x)*Sinh[5*a + 5*b*x])/(16*(25*b^2 - d^2))","A",5,2,24,0.08333,1,"{5509, 5474}"
953,1,83,0,0.0792998,"\int e^{c+d x} \cosh ^2(a+b x) \sinh ^2(a+b x) \, dx","Int[E^(c + d*x)*Cosh[a + b*x]^2*Sinh[a + b*x]^2,x]","\frac{b e^{c+d x} \sinh (4 a+4 b x)}{2 \left(16 b^2-d^2\right)}-\frac{d e^{c+d x} \cosh (4 a+4 b x)}{8 \left(16 b^2-d^2\right)}-\frac{e^{c+d x}}{8 d}","\frac{b e^{c+d x} \sinh (4 a+4 b x)}{2 \left(16 b^2-d^2\right)}-\frac{d e^{c+d x} \cosh (4 a+4 b x)}{8 \left(16 b^2-d^2\right)}-\frac{e^{c+d x}}{8 d}",1,"-E^(c + d*x)/(8*d) - (d*E^(c + d*x)*Cosh[4*a + 4*b*x])/(8*(16*b^2 - d^2)) + (b*E^(c + d*x)*Sinh[4*a + 4*b*x])/(2*(16*b^2 - d^2))","A",4,3,24,0.1250,1,"{5509, 2194, 5475}"
954,1,127,0,0.0901656,"\int e^{c+d x} \cosh ^2(a+b x) \sinh (a+b x) \, dx","Int[E^(c + d*x)*Cosh[a + b*x]^2*Sinh[a + b*x],x]","-\frac{d e^{c+d x} \sinh (a+b x)}{4 \left(b^2-d^2\right)}-\frac{d e^{c+d x} \sinh (3 a+3 b x)}{4 \left(9 b^2-d^2\right)}+\frac{b e^{c+d x} \cosh (a+b x)}{4 \left(b^2-d^2\right)}+\frac{3 b e^{c+d x} \cosh (3 a+3 b x)}{4 \left(9 b^2-d^2\right)}","-\frac{d e^{c+d x} \sinh (a+b x)}{4 \left(b^2-d^2\right)}-\frac{d e^{c+d x} \sinh (3 a+3 b x)}{4 \left(9 b^2-d^2\right)}+\frac{b e^{c+d x} \cosh (a+b x)}{4 \left(b^2-d^2\right)}+\frac{3 b e^{c+d x} \cosh (3 a+3 b x)}{4 \left(9 b^2-d^2\right)}",1,"(b*E^(c + d*x)*Cosh[a + b*x])/(4*(b^2 - d^2)) + (3*b*E^(c + d*x)*Cosh[3*a + 3*b*x])/(4*(9*b^2 - d^2)) - (d*E^(c + d*x)*Sinh[a + b*x])/(4*(b^2 - d^2)) - (d*E^(c + d*x)*Sinh[3*a + 3*b*x])/(4*(9*b^2 - d^2))","A",4,2,22,0.09091,1,"{5509, 5474}"
955,1,95,0,0.0359479,"\int e^{c+d x} \cosh ^2(a+b x) \, dx","Int[E^(c + d*x)*Cosh[a + b*x]^2,x]","-\frac{d e^{c+d x} \cosh ^2(a+b x)}{4 b^2-d^2}+\frac{2 b e^{c+d x} \sinh (a+b x) \cosh (a+b x)}{4 b^2-d^2}+\frac{2 b^2 e^{c+d x}}{d \left(4 b^2-d^2\right)}","-\frac{d e^{c+d x} \cosh ^2(a+b x)}{4 b^2-d^2}+\frac{2 b e^{c+d x} \sinh (a+b x) \cosh (a+b x)}{4 b^2-d^2}+\frac{2 b^2 e^{c+d x}}{d \left(4 b^2-d^2\right)}",1,"(2*b^2*E^(c + d*x))/(d*(4*b^2 - d^2)) - (d*E^(c + d*x)*Cosh[a + b*x]^2)/(4*b^2 - d^2) + (2*b*E^(c + d*x)*Cosh[a + b*x]*Sinh[a + b*x])/(4*b^2 - d^2)","A",2,2,16,0.1250,1,"{5477, 2194}"
956,1,103,0,0.2070463,"\int e^{c+d x} \cosh (a+b x) \coth (a+b x) \, dx","Int[E^(c + d*x)*Cosh[a + b*x]*Coth[a + b*x],x]","\frac{2 e^{-a-x (b-d)+c} \, _2F_1\left(1,-\frac{b-d}{2 b};\frac{b+d}{2 b};e^{2 (a+b x)}\right)}{b-d}-\frac{3 e^{-a-x (b-d)+c}}{2 (b-d)}+\frac{e^{a+x (b+d)+c}}{2 (b+d)}","\frac{2 e^{-a-x (b-d)+c} \, _2F_1\left(1,-\frac{b-d}{2 b};\frac{b+d}{2 b};e^{2 (a+b x)}\right)}{b-d}-\frac{3 e^{-a-x (b-d)+c}}{2 (b-d)}+\frac{e^{a+x (b+d)+c}}{2 (b+d)}",1,"(-3*E^(-a + c - (b - d)*x))/(2*(b - d)) + E^(a + c + (b + d)*x)/(2*(b + d)) + (2*E^(-a + c - (b - d)*x)*Hypergeometric2F1[1, -(b - d)/(2*b), (b + d)/(2*b), E^(2*(a + b*x))])/(b - d)","A",6,4,20,0.2000,1,"{5511, 2194, 2227, 2251}"
957,1,94,0,0.1144627,"\int e^{c+d x} \coth ^2(a+b x) \, dx","Int[E^(c + d*x)*Coth[a + b*x]^2,x]","-\frac{4 e^{c+d x} \, _2F_1\left(1,\frac{d}{2 b};\frac{d}{2 b}+1;e^{2 (a+b x)}\right)}{d}+\frac{4 e^{c+d x} \, _2F_1\left(2,\frac{d}{2 b};\frac{d}{2 b}+1;e^{2 (a+b x)}\right)}{d}+\frac{e^{c+d x}}{d}","-\frac{4 e^{c+d x} \, _2F_1\left(1,\frac{d}{2 b};\frac{d}{2 b}+1;e^{2 (a+b x)}\right)}{d}+\frac{4 e^{c+d x} \, _2F_1\left(2,\frac{d}{2 b};\frac{d}{2 b}+1;e^{2 (a+b x)}\right)}{d}+\frac{e^{c+d x}}{d}",1,"E^(c + d*x)/d - (4*E^(c + d*x)*Hypergeometric2F1[1, d/(2*b), 1 + d/(2*b), E^(2*(a + b*x))])/d + (4*E^(c + d*x)*Hypergeometric2F1[2, d/(2*b), 1 + d/(2*b), E^(2*(a + b*x))])/d","A",5,3,16,0.1875,1,"{5485, 2194, 2251}"
958,1,151,0,0.3430004,"\int e^{c+d x} \coth ^2(a+b x) \text{csch}(a+b x) \, dx","Int[E^(c + d*x)*Coth[a + b*x]^2*Csch[a + b*x],x]","-\frac{2 e^{a+x (b+d)+c} \, _2F_1\left(1,\frac{b+d}{2 b};\frac{3 b+d}{2 b};e^{2 (a+b x)}\right)}{b+d}+\frac{8 e^{a+x (b+d)+c} \, _2F_1\left(2,\frac{b+d}{2 b};\frac{3 b+d}{2 b};e^{2 (a+b x)}\right)}{b+d}-\frac{8 e^{a+x (b+d)+c} \, _2F_1\left(3,\frac{b+d}{2 b};\frac{3 b+d}{2 b};e^{2 (a+b x)}\right)}{b+d}","-\frac{2 e^{a+x (b+d)+c} \, _2F_1\left(1,\frac{b+d}{2 b};\frac{3 b+d}{2 b};e^{2 (a+b x)}\right)}{b+d}+\frac{8 e^{a+x (b+d)+c} \, _2F_1\left(2,\frac{b+d}{2 b};\frac{3 b+d}{2 b};e^{2 (a+b x)}\right)}{b+d}-\frac{8 e^{a+x (b+d)+c} \, _2F_1\left(3,\frac{b+d}{2 b};\frac{3 b+d}{2 b};e^{2 (a+b x)}\right)}{b+d}",1,"(-2*E^(a + c + (b + d)*x)*Hypergeometric2F1[1, (b + d)/(2*b), (3*b + d)/(2*b), E^(2*(a + b*x))])/(b + d) + (8*E^(a + c + (b + d)*x)*Hypergeometric2F1[2, (b + d)/(2*b), (3*b + d)/(2*b), E^(2*(a + b*x))])/(b + d) - (8*E^(a + c + (b + d)*x)*Hypergeometric2F1[3, (b + d)/(2*b), (3*b + d)/(2*b), E^(2*(a + b*x))])/(b + d)","A",5,2,22,0.09091,1,"{5511, 2251}"
959,1,137,0,0.1133927,"\int e^{c+d x} \cosh ^3(a+b x) \sinh ^3(a+b x) \, dx","Int[E^(c + d*x)*Cosh[a + b*x]^3*Sinh[a + b*x]^3,x]","\frac{3 d e^{c+d x} \sinh (2 a+2 b x)}{32 \left(4 b^2-d^2\right)}-\frac{d e^{c+d x} \sinh (6 a+6 b x)}{32 \left(36 b^2-d^2\right)}-\frac{3 b e^{c+d x} \cosh (2 a+2 b x)}{16 \left(4 b^2-d^2\right)}+\frac{3 b e^{c+d x} \cosh (6 a+6 b x)}{16 \left(36 b^2-d^2\right)}","\frac{3 d e^{c+d x} \sinh (2 a+2 b x)}{32 \left(4 b^2-d^2\right)}-\frac{d e^{c+d x} \sinh (6 a+6 b x)}{32 \left(36 b^2-d^2\right)}-\frac{3 b e^{c+d x} \cosh (2 a+2 b x)}{16 \left(4 b^2-d^2\right)}+\frac{3 b e^{c+d x} \cosh (6 a+6 b x)}{16 \left(36 b^2-d^2\right)}",1,"(-3*b*E^(c + d*x)*Cosh[2*a + 2*b*x])/(16*(4*b^2 - d^2)) + (3*b*E^(c + d*x)*Cosh[6*a + 6*b*x])/(16*(36*b^2 - d^2)) + (3*d*E^(c + d*x)*Sinh[2*a + 2*b*x])/(32*(4*b^2 - d^2)) - (d*E^(c + d*x)*Sinh[6*a + 6*b*x])/(32*(36*b^2 - d^2))","A",4,2,24,0.08333,1,"{5509, 5474}"
960,1,195,0,0.132763,"\int e^{c+d x} \cosh ^3(a+b x) \sinh ^2(a+b x) \, dx","Int[E^(c + d*x)*Cosh[a + b*x]^3*Sinh[a + b*x]^2,x]","-\frac{b e^{c+d x} \sinh (a+b x)}{8 \left(b^2-d^2\right)}+\frac{3 b e^{c+d x} \sinh (3 a+3 b x)}{16 \left(9 b^2-d^2\right)}+\frac{5 b e^{c+d x} \sinh (5 a+5 b x)}{16 \left(25 b^2-d^2\right)}+\frac{d e^{c+d x} \cosh (a+b x)}{8 \left(b^2-d^2\right)}-\frac{d e^{c+d x} \cosh (3 a+3 b x)}{16 \left(9 b^2-d^2\right)}-\frac{d e^{c+d x} \cosh (5 a+5 b x)}{16 \left(25 b^2-d^2\right)}","-\frac{b e^{c+d x} \sinh (a+b x)}{8 \left(b^2-d^2\right)}+\frac{3 b e^{c+d x} \sinh (3 a+3 b x)}{16 \left(9 b^2-d^2\right)}+\frac{5 b e^{c+d x} \sinh (5 a+5 b x)}{16 \left(25 b^2-d^2\right)}+\frac{d e^{c+d x} \cosh (a+b x)}{8 \left(b^2-d^2\right)}-\frac{d e^{c+d x} \cosh (3 a+3 b x)}{16 \left(9 b^2-d^2\right)}-\frac{d e^{c+d x} \cosh (5 a+5 b x)}{16 \left(25 b^2-d^2\right)}",1,"(d*E^(c + d*x)*Cosh[a + b*x])/(8*(b^2 - d^2)) - (d*E^(c + d*x)*Cosh[3*a + 3*b*x])/(16*(9*b^2 - d^2)) - (d*E^(c + d*x)*Cosh[5*a + 5*b*x])/(16*(25*b^2 - d^2)) - (b*E^(c + d*x)*Sinh[a + b*x])/(8*(b^2 - d^2)) + (3*b*E^(c + d*x)*Sinh[3*a + 3*b*x])/(16*(9*b^2 - d^2)) + (5*b*E^(c + d*x)*Sinh[5*a + 5*b*x])/(16*(25*b^2 - d^2))","A",5,2,24,0.08333,1,"{5509, 5475}"
961,1,137,0,0.0936001,"\int e^{c+d x} \cosh ^3(a+b x) \sinh (a+b x) \, dx","Int[E^(c + d*x)*Cosh[a + b*x]^3*Sinh[a + b*x],x]","-\frac{d e^{c+d x} \sinh (2 a+2 b x)}{4 \left(4 b^2-d^2\right)}-\frac{d e^{c+d x} \sinh (4 a+4 b x)}{8 \left(16 b^2-d^2\right)}+\frac{b e^{c+d x} \cosh (2 a+2 b x)}{2 \left(4 b^2-d^2\right)}+\frac{b e^{c+d x} \cosh (4 a+4 b x)}{2 \left(16 b^2-d^2\right)}","-\frac{d e^{c+d x} \sinh (2 a+2 b x)}{4 \left(4 b^2-d^2\right)}-\frac{d e^{c+d x} \sinh (4 a+4 b x)}{8 \left(16 b^2-d^2\right)}+\frac{b e^{c+d x} \cosh (2 a+2 b x)}{2 \left(4 b^2-d^2\right)}+\frac{b e^{c+d x} \cosh (4 a+4 b x)}{2 \left(16 b^2-d^2\right)}",1,"(b*E^(c + d*x)*Cosh[2*a + 2*b*x])/(2*(4*b^2 - d^2)) + (b*E^(c + d*x)*Cosh[4*a + 4*b*x])/(2*(16*b^2 - d^2)) - (d*E^(c + d*x)*Sinh[2*a + 2*b*x])/(4*(4*b^2 - d^2)) - (d*E^(c + d*x)*Sinh[4*a + 4*b*x])/(8*(16*b^2 - d^2))","A",4,2,22,0.09091,1,"{5509, 5474}"
962,1,144,0,0.0566672,"\int e^{c+d x} \cosh ^3(a+b x) \, dx","Int[E^(c + d*x)*Cosh[a + b*x]^3,x]","\frac{6 b^3 e^{c+d x} \sinh (a+b x)}{-10 b^2 d^2+9 b^4+d^4}-\frac{d e^{c+d x} \cosh ^3(a+b x)}{9 b^2-d^2}-\frac{6 b^2 d e^{c+d x} \cosh (a+b x)}{-10 b^2 d^2+9 b^4+d^4}+\frac{3 b e^{c+d x} \sinh (a+b x) \cosh ^2(a+b x)}{9 b^2-d^2}","\frac{6 b^3 e^{c+d x} \sinh (a+b x)}{-10 b^2 d^2+9 b^4+d^4}-\frac{d e^{c+d x} \cosh ^3(a+b x)}{9 b^2-d^2}-\frac{6 b^2 d e^{c+d x} \cosh (a+b x)}{-10 b^2 d^2+9 b^4+d^4}+\frac{3 b e^{c+d x} \sinh (a+b x) \cosh ^2(a+b x)}{9 b^2-d^2}",1,"(-6*b^2*d*E^(c + d*x)*Cosh[a + b*x])/(9*b^4 - 10*b^2*d^2 + d^4) - (d*E^(c + d*x)*Cosh[a + b*x]^3)/(9*b^2 - d^2) + (6*b^3*E^(c + d*x)*Sinh[a + b*x])/(9*b^4 - 10*b^2*d^2 + d^4) + (3*b*E^(c + d*x)*Cosh[a + b*x]^2*Sinh[a + b*x])/(9*b^2 - d^2)","A",2,2,16,0.1250,1,"{5477, 5475}"
963,1,125,0,0.2474919,"\int e^{c+d x} \cosh ^2(a+b x) \coth (a+b x) \, dx","Int[E^(c + d*x)*Cosh[a + b*x]^2*Coth[a + b*x],x]","\frac{2 e^{-2 a-x (2 b-d)+c} \, _2F_1\left(1,\frac{1}{2} \left(\frac{d}{b}-2\right);\frac{d}{2 b};e^{2 (a+b x)}\right)}{2 b-d}-\frac{7 e^{-2 a-x (2 b-d)+c}}{4 (2 b-d)}+\frac{e^{2 a+x (2 b+d)+c}}{4 (2 b+d)}+\frac{e^{c+d x}}{d}","\frac{2 e^{-2 a-x (2 b-d)+c} \, _2F_1\left(1,\frac{1}{2} \left(\frac{d}{b}-2\right);\frac{d}{2 b};e^{2 (a+b x)}\right)}{2 b-d}-\frac{7 e^{-2 a-x (2 b-d)+c}}{4 (2 b-d)}+\frac{e^{2 a+x (2 b+d)+c}}{4 (2 b+d)}+\frac{e^{c+d x}}{d}",1,"(-7*E^(-2*a + c - (2*b - d)*x))/(4*(2*b - d)) + E^(c + d*x)/d + E^(2*a + c + (2*b + d)*x)/(4*(2*b + d)) + (2*E^(-2*a + c - (2*b - d)*x)*Hypergeometric2F1[1, (-2 + d/b)/2, d/(2*b), E^(2*(a + b*x))])/(2*b - d)","A",8,4,22,0.1818,1,"{5511, 2194, 2227, 2251}"
964,1,160,0,0.3057583,"\int e^{c+d x} \cosh (a+b x) \coth ^2(a+b x) \, dx","Int[E^(c + d*x)*Cosh[a + b*x]*Coth[a + b*x]^2,x]","\frac{6 e^{-a-x (b-d)+c} \, _2F_1\left(1,-\frac{b-d}{2 b};\frac{b+d}{2 b};e^{2 (a+b x)}\right)}{b-d}-\frac{4 e^{-a-x (b-d)+c} \, _2F_1\left(2,-\frac{b-d}{2 b};\frac{b+d}{2 b};e^{2 (a+b x)}\right)}{b-d}-\frac{5 e^{-a-x (b-d)+c}}{2 (b-d)}+\frac{e^{a+x (b+d)+c}}{2 (b+d)}","\frac{6 e^{-a-x (b-d)+c} \, _2F_1\left(1,-\frac{b-d}{2 b};\frac{b+d}{2 b};e^{2 (a+b x)}\right)}{b-d}-\frac{4 e^{-a-x (b-d)+c} \, _2F_1\left(2,-\frac{b-d}{2 b};\frac{b+d}{2 b};e^{2 (a+b x)}\right)}{b-d}-\frac{5 e^{-a-x (b-d)+c}}{2 (b-d)}+\frac{e^{a+x (b+d)+c}}{2 (b+d)}",1,"(-5*E^(-a + c - (b - d)*x))/(2*(b - d)) + E^(a + c + (b + d)*x)/(2*(b + d)) + (6*E^(-a + c - (b - d)*x)*Hypergeometric2F1[1, -(b - d)/(2*b), (b + d)/(2*b), E^(2*(a + b*x))])/(b - d) - (4*E^(-a + c - (b - d)*x)*Hypergeometric2F1[2, -(b - d)/(2*b), (b + d)/(2*b), E^(2*(a + b*x))])/(b - d)","A",7,4,22,0.1818,1,"{5511, 2194, 2227, 2251}"
965,1,135,0,0.1640175,"\int e^{c+d x} \coth ^3(a+b x) \, dx","Int[E^(c + d*x)*Coth[a + b*x]^3,x]","-\frac{6 e^{c+d x} \, _2F_1\left(1,\frac{d}{2 b};\frac{d}{2 b}+1;e^{2 (a+b x)}\right)}{d}+\frac{12 e^{c+d x} \, _2F_1\left(2,\frac{d}{2 b};\frac{d}{2 b}+1;e^{2 (a+b x)}\right)}{d}-\frac{8 e^{c+d x} \, _2F_1\left(3,\frac{d}{2 b};\frac{d}{2 b}+1;e^{2 (a+b x)}\right)}{d}+\frac{e^{c+d x}}{d}","-\frac{6 e^{c+d x} \, _2F_1\left(1,\frac{d}{2 b};\frac{d}{2 b}+1;e^{2 (a+b x)}\right)}{d}+\frac{12 e^{c+d x} \, _2F_1\left(2,\frac{d}{2 b};\frac{d}{2 b}+1;e^{2 (a+b x)}\right)}{d}-\frac{8 e^{c+d x} \, _2F_1\left(3,\frac{d}{2 b};\frac{d}{2 b}+1;e^{2 (a+b x)}\right)}{d}+\frac{e^{c+d x}}{d}",1,"E^(c + d*x)/d - (6*E^(c + d*x)*Hypergeometric2F1[1, d/(2*b), 1 + d/(2*b), E^(2*(a + b*x))])/d + (12*E^(c + d*x)*Hypergeometric2F1[2, d/(2*b), 1 + d/(2*b), E^(2*(a + b*x))])/d - (8*E^(c + d*x)*Hypergeometric2F1[3, d/(2*b), 1 + d/(2*b), E^(2*(a + b*x))])/d","A",6,3,16,0.1875,1,"{5485, 2194, 2251}"
966,1,73,0,0.6139061,"\int \left(-\frac{3 d^2 e^{a+b x}}{4 \left(b^2-\frac{9 d^2}{4}\right) \sqrt{\sinh (c+d x)}}+e^{a+b x} \sinh ^{\frac{3}{2}}(c+d x)\right) \, dx","Int[(-3*d^2*E^(a + b*x))/(4*(b^2 - (9*d^2)/4)*Sqrt[Sinh[c + d*x]]) + E^(a + b*x)*Sinh[c + d*x]^(3/2),x]","\frac{4 b e^{a+b x} \sinh ^{\frac{3}{2}}(c+d x)}{4 b^2-9 d^2}-\frac{6 d e^{a+b x} \sqrt{\sinh (c+d x)} \cosh (c+d x)}{4 b^2-9 d^2}","\frac{4 b e^{a+b x} \sinh ^{\frac{3}{2}}(c+d x)}{4 b^2-9 d^2}-\frac{6 d e^{a+b x} \sqrt{\sinh (c+d x)} \cosh (c+d x)}{4 b^2-9 d^2}",1,"(-6*d*E^(a + b*x)*Cosh[c + d*x]*Sqrt[Sinh[c + d*x]])/(4*b^2 - 9*d^2) + (4*b*E^(a + b*x)*Sinh[c + d*x]^(3/2))/(4*b^2 - 9*d^2)","A",10,5,56,0.08929,1,"{5482, 2253, 2252, 2251, 5476}"
967,1,17,0,0.015365,"\int e^{n \cosh (a+b x)} \sinh (a+b x) \, dx","Int[E^(n*Cosh[a + b*x])*Sinh[a + b*x],x]","\frac{e^{n \cosh (a+b x)}}{b n}","\frac{e^{n \cosh (a+b x)}}{b n}",1,"E^(n*Cosh[a + b*x])/(b*n)","A",2,2,17,0.1176,1,"{4337, 2194}"
968,1,22,0,0.0167992,"\int e^{n \cosh (a c+b c x)} \sinh (c (a+b x)) \, dx","Int[E^(n*Cosh[a*c + b*c*x])*Sinh[c*(a + b*x)],x]","\frac{e^{n \cosh (c (a+b x))}}{b c n}","\frac{e^{n \cosh (c (a+b x))}}{b c n}",1,"E^(n*Cosh[c*(a + b*x)])/(b*c*n)","A",2,2,22,0.09091,1,"{4337, 2194}"
969,1,23,0,0.0151182,"\int e^{n \cosh (c (a+b x))} \sinh (a c+b c x) \, dx","Int[E^(n*Cosh[c*(a + b*x)])*Sinh[a*c + b*c*x],x]","\frac{e^{n \cosh (a c+b c x)}}{b c n}","\frac{e^{n \cosh (a c+b c x)}}{b c n}",1,"E^(n*Cosh[a*c + b*c*x])/(b*c*n)","A",2,2,22,0.09091,1,"{4337, 2194}"
970,1,13,0,0.0235904,"\int e^{n \cosh (a+b x)} \tanh (a+b x) \, dx","Int[E^(n*Cosh[a + b*x])*Tanh[a + b*x],x]","\frac{\text{Ei}(n \cosh (a+b x))}{b}","\frac{\text{Ei}(n \cosh (a+b x))}{b}",1,"ExpIntegralEi[n*Cosh[a + b*x]]/b","A",2,2,17,0.1176,1,"{4341, 2178}"
971,1,18,0,0.0231976,"\int e^{n \cosh (a c+b c x)} \tanh (c (a+b x)) \, dx","Int[E^(n*Cosh[a*c + b*c*x])*Tanh[c*(a + b*x)],x]","\frac{\text{Ei}(n \cosh (c (a+b x)))}{b c}","\frac{\text{Ei}(n \cosh (c (a+b x)))}{b c}",1,"ExpIntegralEi[n*Cosh[c*(a + b*x)]]/(b*c)","A",2,2,22,0.09091,1,"{4341, 2178}"
972,1,19,0,0.0238702,"\int e^{n \cosh (c (a+b x))} \tanh (a c+b c x) \, dx","Int[E^(n*Cosh[c*(a + b*x)])*Tanh[a*c + b*c*x],x]","\frac{\text{Ei}(n \cosh (a c+b x c))}{b c}","\frac{\text{Ei}(n \cosh (a c+b x c))}{b c}",1,"ExpIntegralEi[n*Cosh[a*c + b*c*x]]/(b*c)","A",2,2,22,0.09091,1,"{4341, 2178}"
973,1,17,0,0.0135215,"\int e^{n \sinh (a+b x)} \cosh (a+b x) \, dx","Int[E^(n*Sinh[a + b*x])*Cosh[a + b*x],x]","\frac{e^{n \sinh (a+b x)}}{b n}","\frac{e^{n \sinh (a+b x)}}{b n}",1,"E^(n*Sinh[a + b*x])/(b*n)","A",2,2,17,0.1176,1,"{4336, 2194}"
974,1,22,0,0.0147721,"\int e^{n \sinh (a c+b c x)} \cosh (c (a+b x)) \, dx","Int[E^(n*Sinh[a*c + b*c*x])*Cosh[c*(a + b*x)],x]","\frac{e^{n \sinh (c (a+b x))}}{b c n}","\frac{e^{n \sinh (c (a+b x))}}{b c n}",1,"E^(n*Sinh[c*(a + b*x)])/(b*c*n)","A",2,2,22,0.09091,1,"{4336, 2194}"
975,1,23,0,0.0135506,"\int e^{n \sinh (c (a+b x))} \cosh (a c+b c x) \, dx","Int[E^(n*Sinh[c*(a + b*x)])*Cosh[a*c + b*c*x],x]","\frac{e^{n \sinh (a c+b c x)}}{b c n}","\frac{e^{n \sinh (a c+b c x)}}{b c n}",1,"E^(n*Sinh[a*c + b*c*x])/(b*c*n)","A",2,2,22,0.09091,1,"{4336, 2194}"
976,1,13,0,0.0228231,"\int e^{n \sinh (a+b x)} \coth (a+b x) \, dx","Int[E^(n*Sinh[a + b*x])*Coth[a + b*x],x]","\frac{\text{Ei}(n \sinh (a+b x))}{b}","\frac{\text{Ei}(n \sinh (a+b x))}{b}",1,"ExpIntegralEi[n*Sinh[a + b*x]]/b","A",2,2,17,0.1176,1,"{4340, 2178}"
977,1,18,0,0.0229849,"\int e^{n \sinh (a c+b c x)} \coth (c (a+b x)) \, dx","Int[E^(n*Sinh[a*c + b*c*x])*Coth[c*(a + b*x)],x]","\frac{\text{Ei}(n \sinh (c (a+b x)))}{b c}","\frac{\text{Ei}(n \sinh (c (a+b x)))}{b c}",1,"ExpIntegralEi[n*Sinh[c*(a + b*x)]]/(b*c)","A",2,2,22,0.09091,1,"{4340, 2178}"
978,1,19,0,0.0228418,"\int e^{n \sinh (c (a+b x))} \coth (a c+b c x) \, dx","Int[E^(n*Sinh[c*(a + b*x)])*Coth[a*c + b*c*x],x]","\frac{\text{Ei}(n \sinh (a c+b x c))}{b c}","\frac{\text{Ei}(n \sinh (a c+b x c))}{b c}",1,"ExpIntegralEi[n*Sinh[a*c + b*c*x]]/(b*c)","A",2,2,22,0.09091,1,"{4340, 2178}"
979,1,11,0,0.0401233,"\int \frac{\text{sech}^2(x)}{a+b \tanh (x)} \, dx","Int[Sech[x]^2/(a + b*Tanh[x]),x]","\frac{\log (a+b \tanh (x))}{b}","\frac{\log (a+b \tanh (x))}{b}",1,"Log[a + b*Tanh[x]]/b","A",2,2,13,0.1538,1,"{3506, 31}"
980,1,3,0,0.0322492,"\int \frac{\text{sech}^2(x)}{1+\tanh ^2(x)} \, dx","Int[Sech[x]^2/(1 + Tanh[x]^2),x]","\tan ^{-1}(\tanh (x))","\tan ^{-1}(\tanh (x))",1,"ArcTan[Tanh[x]]","A",2,2,13,0.1538,1,"{3675, 203}"
981,1,11,0,0.0340017,"\int \frac{\text{sech}^2(x)}{9+\tanh ^2(x)} \, dx","Int[Sech[x]^2/(9 + Tanh[x]^2),x]","\frac{1}{3} \tan ^{-1}\left(\frac{\tanh (x)}{3}\right)","\frac{1}{3} \tan ^{-1}\left(\frac{\tanh (x)}{3}\right)",1,"ArcTan[Tanh[x]/3]/3","A",2,2,13,0.1538,1,"{3675, 203}"
982,1,19,0,0.0432321,"\int \text{sech}^2(x) (a+b \tanh (x))^n \, dx","Int[Sech[x]^2*(a + b*Tanh[x])^n,x]","\frac{(a+b \tanh (x))^{n+1}}{b (n+1)}","\frac{(a+b \tanh (x))^{n+1}}{b (n+1)}",1,"(a + b*Tanh[x])^(1 + n)/(b*(1 + n))","A",2,2,13,0.1538,1,"{3506, 32}"
983,1,4,0,0.0523521,"\int \text{sech}^2(x) \left(1+\frac{1}{1-\tanh ^2(x)}\right) \, dx","Int[Sech[x]^2*(1 + (1 - Tanh[x]^2)^(-1)),x]","x+\tanh (x)","x+\tanh (x)",1,"x + Tanh[x]","A",3,1,17,0.05882,1,"{206}"
984,1,4,0,0.0742743,"\int \frac{\text{sech}^2(x) \left(2-\tanh ^2(x)\right)}{1-\tanh ^2(x)} \, dx","Int[(Sech[x]^2*(2 - Tanh[x]^2))/(1 - Tanh[x]^2),x]","x+\tanh (x)","x+\tanh (x)",1,"x + Tanh[x]","A",4,3,23,0.1304,1,"{3657, 3473, 8}"
985,1,5,0,0.0491681,"\int \frac{\text{sech}^2(x)}{2+2 \tanh (x)+\tanh ^2(x)} \, dx","Int[Sech[x]^2/(2 + 2*Tanh[x] + Tanh[x]^2),x]","\tan ^{-1}(\tanh (x)+1)","\tan ^{-1}(\tanh (x)+1)",1,"ArcTan[1 + Tanh[x]]","A",3,3,17,0.1765,1,"{4342, 617, 204}"
986,1,15,0,0.0530338,"\int \frac{\text{sech}^2(x)}{\tanh ^2(x)+\tanh ^3(x)} \, dx","Int[Sech[x]^2/(Tanh[x]^2 + Tanh[x]^3),x]","-\coth (x)-\log (\tanh (x))+\log (\tanh (x)+1)","-\coth (x)-\log (\tanh (x))+\log (\tanh (x)+1)",1,"-Coth[x] - Log[Tanh[x]] + Log[1 + Tanh[x]]","A",3,2,16,0.1250,1,"{4342, 44}"
987,1,15,0,0.0576355,"\int \frac{\text{sech}^2(x)}{-\tanh ^2(x)+\tanh ^3(x)} \, dx","Int[Sech[x]^2/(-Tanh[x]^2 + Tanh[x]^3),x]","\coth (x)+\log (1-\tanh (x))-\log (\tanh (x))","\coth (x)+\log (1-\tanh (x))-\log (\tanh (x))",1,"Coth[x] + Log[1 - Tanh[x]] - Log[Tanh[x]]","A",3,2,18,0.1111,1,"{4342, 44}"
988,1,102,0,0.112152,"\int \frac{\text{sech}^2(x)}{3-4 \tanh ^3(x)} \, dx","Int[Sech[x]^2/(3 - 4*Tanh[x]^3),x]","\frac{\log \left(2 \sqrt[3]{2} \tanh ^2(x)+2^{2/3} \sqrt[3]{3} \tanh (x)+3^{2/3}\right)}{6\ 6^{2/3}}-\frac{\log \left(\sqrt[3]{3}-2^{2/3} \tanh (x)\right)}{3\ 6^{2/3}}+\frac{\tan ^{-1}\left(\frac{2\ 2^{2/3} \tanh (x)+\sqrt[3]{3}}{3^{5/6}}\right)}{3\ 2^{2/3} \sqrt[6]{3}}","\frac{\log \left(2 \sqrt[3]{2} \tanh ^2(x)+2^{2/3} \sqrt[3]{3} \tanh (x)+3^{2/3}\right)}{6\ 6^{2/3}}-\frac{\log \left(\sqrt[3]{3}-2^{2/3} \tanh (x)\right)}{3\ 6^{2/3}}+\frac{\tan ^{-1}\left(\frac{2\ 2^{2/3} \tanh (x)+\sqrt[3]{3}}{3^{5/6}}\right)}{3\ 2^{2/3} \sqrt[6]{3}}",1,"ArcTan[(3^(1/3) + 2*2^(2/3)*Tanh[x])/3^(5/6)]/(3*2^(2/3)*3^(1/6)) - Log[3^(1/3) - 2^(2/3)*Tanh[x]]/(3*6^(2/3)) + Log[3^(2/3) + 2^(2/3)*3^(1/3)*Tanh[x] + 2*2^(1/3)*Tanh[x]^2]/(6*6^(2/3))","A",7,7,15,0.4667,1,"{3675, 200, 31, 634, 617, 204, 628}"
989,1,22,0,0.0680059,"\int \frac{\text{sech}^2(x)}{11-5 \tanh (x)+5 \tanh ^2(x)} \, dx","Int[Sech[x]^2/(11 - 5*Tanh[x] + 5*Tanh[x]^2),x]","-\frac{2 \tan ^{-1}\left(\sqrt{\frac{5}{39}} (1-2 \tanh (x))\right)}{\sqrt{195}}","-\frac{2 \tan ^{-1}\left(\sqrt{\frac{5}{39}} (1-2 \tanh (x))\right)}{\sqrt{195}}",1,"(-2*ArcTan[Sqrt[5/39]*(1 - 2*Tanh[x])])/Sqrt[195]","A",3,3,19,0.1579,1,"{4342, 618, 204}"
990,1,28,0,0.0988653,"\int \frac{\text{sech}^2(x) (a+b \tanh (x))}{c+d \tanh (x)} \, dx","Int[(Sech[x]^2*(a + b*Tanh[x]))/(c + d*Tanh[x]),x]","\frac{b \tanh (x)}{d}-\frac{(b c-a d) \log (c+d \tanh (x))}{d^2}","\frac{b \tanh (x)}{d}-\frac{(b c-a d) \log (c+d \tanh (x))}{d^2}",1,"-(((b*c - a*d)*Log[c + d*Tanh[x]])/d^2) + (b*Tanh[x])/d","A",3,2,19,0.1053,1,"{4342, 43}"
991,1,53,0,0.1575407,"\int \frac{\text{sech}^2(x) (a+b \tanh (x))^2}{c+d \tanh (x)} \, dx","Int[(Sech[x]^2*(a + b*Tanh[x])^2)/(c + d*Tanh[x]),x]","-\frac{b \tanh (x) (b c-a d)}{d^2}+\frac{(b c-a d)^2 \log (c+d \tanh (x))}{d^3}+\frac{(a+b \tanh (x))^2}{2 d}","-\frac{b \tanh (x) (b c-a d)}{d^2}+\frac{(b c-a d)^2 \log (c+d \tanh (x))}{d^3}+\frac{(a+b \tanh (x))^2}{2 d}",1,"((b*c - a*d)^2*Log[c + d*Tanh[x]])/d^3 - (b*(b*c - a*d)*Tanh[x])/d^2 + (a + b*Tanh[x])^2/(2*d)","A",3,2,21,0.09524,1,"{4342, 43}"
992,1,78,0,0.1627224,"\int \frac{\text{sech}^2(x) (a+b \tanh (x))^3}{c+d \tanh (x)} \, dx","Int[(Sech[x]^2*(a + b*Tanh[x])^3)/(c + d*Tanh[x]),x]","\frac{b \tanh (x) (b c-a d)^2}{d^3}-\frac{(b c-a d) (a+b \tanh (x))^2}{2 d^2}-\frac{(b c-a d)^3 \log (c+d \tanh (x))}{d^4}+\frac{(a+b \tanh (x))^3}{3 d}","\frac{b \tanh (x) (b c-a d)^2}{d^3}-\frac{(b c-a d) (a+b \tanh (x))^2}{2 d^2}-\frac{(b c-a d)^3 \log (c+d \tanh (x))}{d^4}+\frac{(a+b \tanh (x))^3}{3 d}",1,"-(((b*c - a*d)^3*Log[c + d*Tanh[x]])/d^4) + (b*(b*c - a*d)^2*Tanh[x])/d^3 - ((b*c - a*d)*(a + b*Tanh[x])^2)/(2*d^2) + (a + b*Tanh[x])^3/(3*d)","A",3,2,21,0.09524,1,"{4342, 43}"
993,1,12,0,0.0857805,"\int \frac{\text{sech}^2(x) \tanh ^2(x)}{\left(2+\tanh ^3(x)\right)^2} \, dx","Int[(Sech[x]^2*Tanh[x]^2)/(2 + Tanh[x]^3)^2,x]","-\frac{1}{3 \left(\tanh ^3(x)+2\right)}","-\frac{1}{3 \left(\tanh ^3(x)+2\right)}",1,"-1/(3*(2 + Tanh[x]^3))","A",2,2,17,0.1176,1,"{4342, 261}"
994,1,33,0,0.1078923,"\int \text{sech}^2(x) \tanh ^6(x) \left(1-\tanh ^2(x)\right)^3 \, dx","Int[Sech[x]^2*Tanh[x]^6*(1 - Tanh[x]^2)^3,x]","-\frac{1}{13} \tanh ^{13}(x)+\frac{3 \tanh ^{11}(x)}{11}-\frac{\tanh ^9(x)}{3}+\frac{\tanh ^7(x)}{7}","-\frac{1}{13} \tanh ^{13}(x)+\frac{3 \tanh ^{11}(x)}{11}-\frac{\tanh ^9(x)}{3}+\frac{\tanh ^7(x)}{7}",1,"Tanh[x]^7/7 - Tanh[x]^9/3 + (3*Tanh[x]^11)/11 - Tanh[x]^13/13","A",4,3,19,0.1579,1,"{3657, 2607, 270}"
995,1,26,0,0.0906898,"\int \frac{\text{sech}^2(x) \left(2+\tanh ^2(x)\right)}{1+\tanh ^3(x)} \, dx","Int[(Sech[x]^2*(2 + Tanh[x]^2))/(1 + Tanh[x]^3),x]","\log (\tanh (x)+1)-\frac{2 \tan ^{-1}\left(\frac{1-2 \tanh (x)}{\sqrt{3}}\right)}{\sqrt{3}}","\log (\tanh (x)+1)-\frac{2 \tan ^{-1}\left(\frac{1-2 \tanh (x)}{\sqrt{3}}\right)}{\sqrt{3}}",1,"(-2*ArcTan[(1 - 2*Tanh[x])/Sqrt[3]])/Sqrt[3] + Log[1 + Tanh[x]]","A",5,5,19,0.2632,1,"{4342, 1863, 31, 618, 204}"
996,1,4,0,0.0196341,"\int \left(1+\cosh ^2(x)\right) \text{sech}^2(x) \, dx","Int[(1 + Cosh[x]^2)*Sech[x]^2,x]","x+\tanh (x)","x+\tanh (x)",1,"x + Tanh[x]","A",2,2,11,0.1818,1,"{3012, 8}"
997,1,20,0,0.1240935,"\int \frac{\text{sech}^2(x)}{1+\text{sech}^2(x)-3 \tanh (x)} \, dx","Int[Sech[x]^2/(1 + Sech[x]^2 - 3*Tanh[x]),x]","\frac{2 \tanh ^{-1}\left(\frac{2 \tanh (x)+3}{\sqrt{17}}\right)}{\sqrt{17}}","\frac{2 \tanh ^{-1}\left(\frac{2 \tanh (x)+3}{\sqrt{17}}\right)}{\sqrt{17}}",1,"(2*ArcTanh[(3 + 2*Tanh[x])/Sqrt[17]])/Sqrt[17]","A",3,2,17,0.1176,1,"{618, 206}"
998,1,9,0,0.0494739,"\int \frac{\text{sech}^2(x)}{\sqrt{4-\text{sech}^2(x)}} \, dx","Int[Sech[x]^2/Sqrt[4 - Sech[x]^2],x]","\sinh ^{-1}\left(\frac{\tanh (x)}{\sqrt{3}}\right)","\sinh ^{-1}\left(\frac{\tanh (x)}{\sqrt{3}}\right)",1,"ArcSinh[Tanh[x]/Sqrt[3]]","A",2,2,17,0.1176,1,"{4146, 215}"
999,1,9,0,0.0495234,"\int \frac{\text{sech}^2(x)}{\sqrt{1-4 \tanh ^2(x)}} \, dx","Int[Sech[x]^2/Sqrt[1 - 4*Tanh[x]^2],x]","\frac{1}{2} \sin ^{-1}(2 \tanh (x))","\frac{1}{2} \sin ^{-1}(2 \tanh (x))",1,"ArcSin[2*Tanh[x]]/2","A",2,2,17,0.1176,1,"{3675, 216}"
1000,1,14,0,0.051154,"\int \frac{\text{sech}^2(x)}{\sqrt{-4+\tanh ^2(x)}} \, dx","Int[Sech[x]^2/Sqrt[-4 + Tanh[x]^2],x]","\tanh ^{-1}\left(\frac{\tanh (x)}{\sqrt{\tanh ^2(x)-4}}\right)","\tanh ^{-1}\left(\frac{\tanh (x)}{\sqrt{\tanh ^2(x)-4}}\right)",1,"ArcTanh[Tanh[x]/Sqrt[-4 + Tanh[x]^2]]","A",3,3,15,0.2000,1,"{3675, 217, 206}"
1001,1,19,0,0.0491916,"\int \sqrt{1+\coth ^2(x)} \text{sech}^2(x) \, dx","Int[Sqrt[1 + Coth[x]^2]*Sech[x]^2,x]","\tanh (x) \sqrt{\coth ^2(x)+1}-\sinh ^{-1}(\coth (x))","\tanh (x) \sqrt{\coth ^2(x)+1}-\sinh ^{-1}(\coth (x))",1,"-ArcSinh[Coth[x]] + Sqrt[1 + Coth[x]^2]*Tanh[x]","A",3,3,15,0.2000,1,"{3663, 277, 215}"
1002,1,24,0,0.0433874,"\int \text{sech}^2(x) \sqrt{1+\tanh ^2(x)} \, dx","Int[Sech[x]^2*Sqrt[1 + Tanh[x]^2],x]","\frac{1}{2} \tanh (x) \sqrt{\tanh ^2(x)+1}+\frac{1}{2} \sinh ^{-1}(\tanh (x))","\frac{1}{2} \tanh (x) \sqrt{\tanh ^2(x)+1}+\frac{1}{2} \sinh ^{-1}(\tanh (x))",1,"ArcSinh[Tanh[x]]/2 + (Tanh[x]*Sqrt[1 + Tanh[x]^2])/2","A",3,3,15,0.2000,1,"{3675, 195, 215}"
1003,1,17,0,0.0781993,"\int \text{sech}^4(x) \left(-1+\text{sech}^2(x)\right)^2 \tanh (x) \, dx","Int[Sech[x]^4*(-1 + Sech[x]^2)^2*Tanh[x],x]","\frac{\tanh ^6(x)}{6}-\frac{\tanh ^8(x)}{8}","\frac{\tanh ^6(x)}{6}-\frac{\tanh ^8(x)}{8}",1,"Tanh[x]^6/6 - Tanh[x]^8/8","A",4,3,15,0.2000,1,"{4120, 2607, 14}"
1004,1,43,0,0.039057,"\int e^{n \sinh (a+b x)} \sinh (2 a+2 b x) \, dx","Int[E^(n*Sinh[a + b*x])*Sinh[2*a + 2*b*x],x]","\frac{2 \sinh (a+b x) e^{n \sinh (a+b x)}}{b n}-\frac{2 e^{n \sinh (a+b x)}}{b n^2}","\frac{2 \sinh (a+b x) e^{n \sinh (a+b x)}}{b n}-\frac{2 e^{n \sinh (a+b x)}}{b n^2}",1,"(-2*E^(n*Sinh[a + b*x]))/(b*n^2) + (2*E^(n*Sinh[a + b*x])*Sinh[a + b*x])/(b*n)","A",4,3,20,0.1500,1,"{12, 2176, 2194}"
1005,1,43,0,0.0399517,"\int e^{n \sinh (a+b x)} \sinh (2 (a+b x)) \, dx","Int[E^(n*Sinh[a + b*x])*Sinh[2*(a + b*x)],x]","\frac{2 \sinh (a+b x) e^{n \sinh (a+b x)}}{b n}-\frac{2 e^{n \sinh (a+b x)}}{b n^2}","\frac{2 \sinh (a+b x) e^{n \sinh (a+b x)}}{b n}-\frac{2 e^{n \sinh (a+b x)}}{b n^2}",1,"(-2*E^(n*Sinh[a + b*x]))/(b*n^2) + (2*E^(n*Sinh[a + b*x])*Sinh[a + b*x])/(b*n)","A",4,3,19,0.1579,1,"{12, 2176, 2194}"
1006,1,64,0,0.038549,"\int e^{n \sinh \left(\frac{a}{2}+\frac{b x}{2}\right)} \sinh (a+b x) \, dx","Int[E^(n*Sinh[a/2 + (b*x)/2])*Sinh[a + b*x],x]","\frac{4 \sinh \left(\frac{a}{2}+\frac{b x}{2}\right) e^{n \sinh \left(\frac{a}{2}+\frac{b x}{2}\right)}}{b n}-\frac{4 e^{n \sinh \left(\frac{a}{2}+\frac{b x}{2}\right)}}{b n^2}","\frac{4 \sinh \left(\frac{a}{2}+\frac{b x}{2}\right) e^{n \sinh \left(\frac{a}{2}+\frac{b x}{2}\right)}}{b n}-\frac{4 e^{n \sinh \left(\frac{a}{2}+\frac{b x}{2}\right)}}{b n^2}",1,"(-4*E^(n*Sinh[a/2 + (b*x)/2]))/(b*n^2) + (4*E^(n*Sinh[a/2 + (b*x)/2])*Sinh[a/2 + (b*x)/2])/(b*n)","A",4,3,24,0.1250,1,"{12, 2176, 2194}"
1007,1,64,0,0.0439971,"\int e^{n \sinh \left(\frac{1}{2} (a+b x)\right)} \sinh (a+b x) \, dx","Int[E^(n*Sinh[(a + b*x)/2])*Sinh[a + b*x],x]","\frac{4 \sinh \left(\frac{a}{2}+\frac{b x}{2}\right) e^{n \sinh \left(\frac{a}{2}+\frac{b x}{2}\right)}}{b n}-\frac{4 e^{n \sinh \left(\frac{a}{2}+\frac{b x}{2}\right)}}{b n^2}","\frac{4 \sinh \left(\frac{a}{2}+\frac{b x}{2}\right) e^{n \sinh \left(\frac{a}{2}+\frac{b x}{2}\right)}}{b n}-\frac{4 e^{n \sinh \left(\frac{a}{2}+\frac{b x}{2}\right)}}{b n^2}",1,"(-4*E^(n*Sinh[a/2 + (b*x)/2]))/(b*n^2) + (4*E^(n*Sinh[a/2 + (b*x)/2])*Sinh[a/2 + (b*x)/2])/(b*n)","A",4,3,21,0.1429,1,"{12, 2176, 2194}"
1008,1,43,0,0.0422842,"\int e^{n \cosh (a+b x)} \sinh (2 a+2 b x) \, dx","Int[E^(n*Cosh[a + b*x])*Sinh[2*a + 2*b*x],x]","\frac{2 \cosh (a+b x) e^{n \cosh (a+b x)}}{b n}-\frac{2 e^{n \cosh (a+b x)}}{b n^2}","\frac{2 \cosh (a+b x) e^{n \cosh (a+b x)}}{b n}-\frac{2 e^{n \cosh (a+b x)}}{b n^2}",1,"(-2*E^(n*Cosh[a + b*x]))/(b*n^2) + (2*E^(n*Cosh[a + b*x])*Cosh[a + b*x])/(b*n)","A",4,3,20,0.1500,1,"{12, 2176, 2194}"
1009,1,43,0,0.0388002,"\int e^{n \cosh (a+b x)} \sinh (2 (a+b x)) \, dx","Int[E^(n*Cosh[a + b*x])*Sinh[2*(a + b*x)],x]","\frac{2 \cosh (a+b x) e^{n \cosh (a+b x)}}{b n}-\frac{2 e^{n \cosh (a+b x)}}{b n^2}","\frac{2 \cosh (a+b x) e^{n \cosh (a+b x)}}{b n}-\frac{2 e^{n \cosh (a+b x)}}{b n^2}",1,"(-2*E^(n*Cosh[a + b*x]))/(b*n^2) + (2*E^(n*Cosh[a + b*x])*Cosh[a + b*x])/(b*n)","A",4,3,19,0.1579,1,"{12, 2176, 2194}"
1010,1,64,0,0.0487021,"\int e^{n \cosh \left(\frac{a}{2}+\frac{b x}{2}\right)} \sinh (a+b x) \, dx","Int[E^(n*Cosh[a/2 + (b*x)/2])*Sinh[a + b*x],x]","\frac{4 \cosh \left(\frac{a}{2}+\frac{b x}{2}\right) e^{n \cosh \left(\frac{a}{2}+\frac{b x}{2}\right)}}{b n}-\frac{4 e^{n \cosh \left(\frac{a}{2}+\frac{b x}{2}\right)}}{b n^2}","\frac{4 \cosh \left(\frac{a}{2}+\frac{b x}{2}\right) e^{n \cosh \left(\frac{a}{2}+\frac{b x}{2}\right)}}{b n}-\frac{4 e^{n \cosh \left(\frac{a}{2}+\frac{b x}{2}\right)}}{b n^2}",1,"(-4*E^(n*Cosh[a/2 + (b*x)/2]))/(b*n^2) + (4*E^(n*Cosh[a/2 + (b*x)/2])*Cosh[a/2 + (b*x)/2])/(b*n)","A",4,3,24,0.1250,1,"{12, 2176, 2194}"
1011,1,64,0,0.0422843,"\int e^{n \cosh \left(\frac{1}{2} (a+b x)\right)} \sinh (a+b x) \, dx","Int[E^(n*Cosh[(a + b*x)/2])*Sinh[a + b*x],x]","\frac{4 \cosh \left(\frac{a}{2}+\frac{b x}{2}\right) e^{n \cosh \left(\frac{a}{2}+\frac{b x}{2}\right)}}{b n}-\frac{4 e^{n \cosh \left(\frac{a}{2}+\frac{b x}{2}\right)}}{b n^2}","\frac{4 \cosh \left(\frac{a}{2}+\frac{b x}{2}\right) e^{n \cosh \left(\frac{a}{2}+\frac{b x}{2}\right)}}{b n}-\frac{4 e^{n \cosh \left(\frac{a}{2}+\frac{b x}{2}\right)}}{b n^2}",1,"(-4*E^(n*Cosh[a/2 + (b*x)/2]))/(b*n^2) + (4*E^(n*Cosh[a/2 + (b*x)/2])*Cosh[a/2 + (b*x)/2])/(b*n)","A",4,3,21,0.1429,1,"{12, 2176, 2194}"
1012,1,9,0,0.0260572,"\int \text{csch}(x) \log (\tanh (x)) \text{sech}(x) \, dx","Int[Csch[x]*Log[Tanh[x]]*Sech[x],x]","\frac{1}{2} \log ^2(\tanh (x))","\frac{1}{2} \log ^2(\tanh (x))",1,"Log[Tanh[x]]^2/2","A",1,3,8,0.3750,1,"{2620, 29, 6686}"
1013,1,9,0,0.0243586,"\int \text{csch}(2 x) \log (\tanh (x)) \, dx","Int[Csch[2*x]*Log[Tanh[x]],x]","\frac{1}{4} \log ^2(\tanh (x))","\frac{1}{4} \log ^2(\tanh (x))",1,"Log[Tanh[x]]^2/4","A",1,2,8,0.2500,1,"{3770, 6686}"
1014,0,0,0,0.0156299,"\int \cosh (a+b x) F(c,d,\sinh (a+b x),r,s) \, dx","Int[Cosh[a + b*x]*F[c, d, Sinh[a + b*x], r, s],x]","\int \cosh (a+b x) F(c,d,\sinh (a+b x),r,s) \, dx","\text{Int}(\cosh (a+b x) F(c,d,\sinh (a+b x),r,s),x)",0,"Defer[Subst][Defer[Int][F[c, d, x, r, s], x], x, Sinh[a + b*x]]/b","A",0,0,0,0,-1,"{}"
1015,0,0,0,0.015913,"\int F(c,d,\cosh (a+b x),r,s) \sinh (a+b x) \, dx","Int[F[c, d, Cosh[a + b*x], r, s]*Sinh[a + b*x],x]","\int F(c,d,\cosh (a+b x),r,s) \sinh (a+b x) \, dx","\text{Int}(\sinh (a+b x) F(c,d,\cosh (a+b x),r,s),x)",0,"Defer[Subst][Defer[Int][F[c, d, x, r, s], x], x, Cosh[a + b*x]]/b","A",0,0,0,0,-1,"{}"
1016,0,0,0,0.0200352,"\int F(c,d,\tanh (a+b x),r,s) \text{sech}^2(a+b x) \, dx","Int[F[c, d, Tanh[a + b*x], r, s]*Sech[a + b*x]^2,x]","\int F(c,d,\tanh (a+b x),r,s) \text{sech}^2(a+b x) \, dx","\text{Int}\left(\text{sech}^2(a+b x) F(c,d,\tanh (a+b x),r,s),x\right)",0,"Defer[Subst][Defer[Int][F[c, d, x, r, s], x], x, Tanh[a + b*x]]/b","A",0,0,0,0,-1,"{}"
1017,0,0,0,0.0218718,"\int \text{csch}^2(a+b x) F(c,d,\coth (a+b x),r,s) \, dx","Int[Csch[a + b*x]^2*F[c, d, Coth[a + b*x], r, s],x]","\int \text{csch}^2(a+b x) F(c,d,\coth (a+b x),r,s) \, dx","\text{Int}\left(\text{csch}^2(a+b x) F(c,d,\coth (a+b x),r,s),x\right)",0,"-(Defer[Subst][Defer[Int][F[c, d, x, r, s], x], x, Coth[a + b*x]]/b)","A",0,0,0,0,-1,"{}"
1018,1,13,0,0.035788,"\int \text{sech}(x) \left(5-11 \text{sech}^2(x)\right) \tanh (x) \, dx","Int[Sech[x]*(5 - 11*Sech[x]^2)*Tanh[x],x]","\frac{11 \text{sech}^3(x)}{3}-5 \text{sech}(x)","\frac{11 \text{sech}^3(x)}{3}-5 \text{sech}(x)",1,"-5*Sech[x] + (11*Sech[x]^3)/3","A",3,2,13,0.1538,1,"{4339, 14}"
1019,1,12,0,0.0484419,"\int \frac{\text{csch}^2(x)}{a+b \coth (x)} \, dx","Int[Csch[x]^2/(a + b*Coth[x]),x]","-\frac{\log (a+b \coth (x))}{b}","-\frac{\log (a+b \coth (x))}{b}",1,"-(Log[a + b*Coth[x]]/b)","A",2,2,13,0.1538,1,"{3506, 31}"
1020,1,20,0,0.0483491,"\int (a+b \coth (x))^n \text{csch}^2(x) \, dx","Int[(a + b*Coth[x])^n*Csch[x]^2,x]","-\frac{(a+b \coth (x))^{n+1}}{b (n+1)}","-\frac{(a+b \coth (x))^{n+1}}{b (n+1)}",1,"-((a + b*Coth[x])^(1 + n)/(b*(1 + n)))","A",2,2,13,0.1538,1,"{3506, 32}"
1021,1,4,0,0.0198524,"\int \text{csch}^2(x) \left(-1+\sinh ^2(x)\right) \, dx","Int[Csch[x]^2*(-1 + Sinh[x]^2),x]","x+\coth (x)","x+\coth (x)",1,"x + Coth[x]","A",2,2,11,0.1818,1,"{3012, 8}"
1022,1,4,0,0.0618662,"\int \left(-1-\frac{1}{1-\coth ^2(x)}\right) \text{csch}^2(x) \, dx","Int[(-1 - (1 - Coth[x]^2)^(-1))*Csch[x]^2,x]","x+\coth (x)","x+\coth (x)",1,"x + Coth[x]","A",3,2,19,0.1053,1,"{453, 206}"
1023,1,28,0,0.0967657,"\int \frac{(a+b \coth (x)) \text{csch}^2(x)}{c+d \coth (x)} \, dx","Int[((a + b*Coth[x])*Csch[x]^2)/(c + d*Coth[x]),x]","\frac{(b c-a d) \log (c+d \coth (x))}{d^2}-\frac{b \coth (x)}{d}","\frac{(b c-a d) \log (c+d \coth (x))}{d^2}-\frac{b \coth (x)}{d}",1,"-((b*Coth[x])/d) + ((b*c - a*d)*Log[c + d*Coth[x]])/d^2","A",3,2,19,0.1053,1,"{4344, 43}"
1024,1,53,0,0.1450775,"\int \frac{(a+b \coth (x))^2 \text{csch}^2(x)}{c+d \coth (x)} \, dx","Int[((a + b*Coth[x])^2*Csch[x]^2)/(c + d*Coth[x]),x]","\frac{b \coth (x) (b c-a d)}{d^2}-\frac{(b c-a d)^2 \log (c+d \coth (x))}{d^3}-\frac{(a+b \coth (x))^2}{2 d}","\frac{b \coth (x) (b c-a d)}{d^2}-\frac{(b c-a d)^2 \log (c+d \coth (x))}{d^3}-\frac{(a+b \coth (x))^2}{2 d}",1,"(b*(b*c - a*d)*Coth[x])/d^2 - (a + b*Coth[x])^2/(2*d) - ((b*c - a*d)^2*Log[c + d*Coth[x]])/d^3","A",3,2,21,0.09524,1,"{4344, 43}"
1025,1,78,0,0.1534835,"\int \frac{(a+b \coth (x))^3 \text{csch}^2(x)}{c+d \coth (x)} \, dx","Int[((a + b*Coth[x])^3*Csch[x]^2)/(c + d*Coth[x]),x]","-\frac{b \coth (x) (b c-a d)^2}{d^3}+\frac{(b c-a d) (a+b \coth (x))^2}{2 d^2}+\frac{(b c-a d)^3 \log (c+d \coth (x))}{d^4}-\frac{(a+b \coth (x))^3}{3 d}","-\frac{b \coth (x) (b c-a d)^2}{d^3}+\frac{(b c-a d) (a+b \coth (x))^2}{2 d^2}+\frac{(b c-a d)^3 \log (c+d \coth (x))}{d^4}-\frac{(a+b \coth (x))^3}{3 d}",1,"-((b*(b*c - a*d)^2*Coth[x])/d^3) + ((b*c - a*d)*(a + b*Coth[x])^2)/(2*d^2) - (a + b*Coth[x])^3/(3*d) + ((b*c - a*d)^3*Log[c + d*Coth[x]])/d^4","A",3,2,21,0.09524,1,"{4344, 43}"
1026,1,36,0,0.0948361,"\int \cosh ^3(x) \left(a+b \cosh ^2(x)\right)^3 \sinh (x) \, dx","Int[Cosh[x]^3*(a + b*Cosh[x]^2)^3*Sinh[x],x]","\frac{\left(a+b \cosh ^2(x)\right)^5}{10 b^2}-\frac{a \left(a+b \cosh ^2(x)\right)^4}{8 b^2}","\frac{\left(a+b \cosh ^2(x)\right)^5}{10 b^2}-\frac{a \left(a+b \cosh ^2(x)\right)^4}{8 b^2}",1,"-(a*(a + b*Cosh[x]^2)^4)/(8*b^2) + (a + b*Cosh[x]^2)^5/(10*b^2)","A",4,3,17,0.1765,1,"{4335, 266, 43}"
1027,1,36,0,0.093683,"\int \cosh (x) \sinh ^3(x) \left(a+b \sinh ^2(x)\right)^3 \, dx","Int[Cosh[x]*Sinh[x]^3*(a + b*Sinh[x]^2)^3,x]","\frac{\left(a+b \sinh ^2(x)\right)^5}{10 b^2}-\frac{a \left(a+b \sinh ^2(x)\right)^4}{8 b^2}","\frac{\left(a+b \sinh ^2(x)\right)^5}{10 b^2}-\frac{a \left(a+b \sinh ^2(x)\right)^4}{8 b^2}",1,"-(a*(a + b*Sinh[x]^2)^4)/(8*b^2) + (a + b*Sinh[x]^2)^5/(10*b^2)","A",4,3,17,0.1765,1,"{3198, 266, 43}"
1028,1,19,0,0.0622082,"\int \cosh (x) \sinh (x) \sqrt{a+b \sinh ^2(x)} \, dx","Int[Cosh[x]*Sinh[x]*Sqrt[a + b*Sinh[x]^2],x]","\frac{\left(a+b \sinh ^2(x)\right)^{3/2}}{3 b}","\frac{\left(a+b \sinh ^2(x)\right)^{3/2}}{3 b}",1,"(a + b*Sinh[x]^2)^(3/2)/(3*b)","A",2,2,17,0.1176,1,"{3198, 261}"
1029,1,27,0,0.1701404,"\int \text{csch}(x) \sqrt{1+\log ^2(\coth (x))} \text{sech}(x) \, dx","Int[Csch[x]*Sqrt[1 + Log[Coth[x]]^2]*Sech[x],x]","-\frac{1}{2} \log (\coth (x)) \sqrt{\log ^2(\coth (x))+1}-\frac{1}{2} \sinh ^{-1}(\log (\coth (x)))","-\frac{1}{2} \log (\coth (x)) \sqrt{\log ^2(\coth (x))+1}-\frac{1}{2} \sinh ^{-1}(\log (\coth (x)))",1,"-ArcSinh[Log[Coth[x]]]/2 - (Log[Coth[x]]*Sqrt[1 + Log[Coth[x]]^2])/2","A",3,3,16,0.1875,1,"{6696, 195, 215}"
1030,1,8,0,0.1911622,"\int \frac{\coth \left(\sqrt{x}\right) \text{csch}\left(\sqrt{x}\right)}{\sqrt{x}} \, dx","Int[(Coth[Sqrt[x]]*Csch[Sqrt[x]])/Sqrt[x],x]","-2 \text{csch}\left(\sqrt{x}\right)","-2 \text{csch}\left(\sqrt{x}\right)",1,"-2*Csch[Sqrt[x]]","A",3,3,18,0.1667,1,"{6715, 2606, 8}"
1031,1,8,0,0.0140994,"\int \frac{\cosh \left(\sqrt{x}\right) \sinh \left(\sqrt{x}\right)}{\sqrt{x}} \, dx","Int[(Cosh[Sqrt[x]]*Sinh[Sqrt[x]])/Sqrt[x],x]","\sinh ^2\left(\sqrt{x}\right)","\sinh ^2\left(\sqrt{x}\right)",1,"Sinh[Sqrt[x]]^2","A",1,1,18,0.05556,1,"{5370}"
1032,1,8,0,0.1887492,"\int \frac{\text{sech}\left(\sqrt{x}\right) \tanh \left(\sqrt{x}\right)}{\sqrt{x}} \, dx","Int[(Sech[Sqrt[x]]*Tanh[Sqrt[x]])/Sqrt[x],x]","-2 \text{sech}\left(\sqrt{x}\right)","-2 \text{sech}\left(\sqrt{x}\right)",1,"-2*Sech[Sqrt[x]]","A",3,3,18,0.1667,1,"{6715, 2606, 8}"
1033,1,68,0,0.1620475,"\int \frac{\sinh ^2(x)}{a+b \sinh (2 x)} \, dx","Int[Sinh[x]^2/(a + b*Sinh[2*x]),x]","\frac{\tanh ^{-1}\left(\frac{b-a \tanh (x)}{\sqrt{a^2+b^2}}\right)}{2 \sqrt{a^2+b^2}}+\frac{\log \left(-a \tanh ^2(x)+a+2 b \tanh (x)\right)}{4 b}+\frac{\log (\cosh (x))}{2 b}","\frac{\tanh ^{-1}\left(\frac{b-a \tanh (x)}{\sqrt{a^2+b^2}}\right)}{2 \sqrt{a^2+b^2}}+\frac{\log (a+b \sinh (2 x))}{4 b}",1,"ArcTanh[(b - a*Tanh[x])/Sqrt[a^2 + b^2]]/(2*Sqrt[a^2 + b^2]) + Log[Cosh[x]]/(2*b) + Log[a + 2*b*Tanh[x] - a*Tanh[x]^2]/(4*b)","A",9,7,15,0.4667,1,"{1075, 12, 634, 618, 206, 628, 260}"
1034,1,68,0,0.1299906,"\int \frac{\cosh ^2(x)}{a+b \sinh (2 x)} \, dx","Int[Cosh[x]^2/(a + b*Sinh[2*x]),x]","-\frac{\tanh ^{-1}\left(\frac{b-a \tanh (x)}{\sqrt{a^2+b^2}}\right)}{2 \sqrt{a^2+b^2}}+\frac{\log \left(-a \tanh ^2(x)+a+2 b \tanh (x)\right)}{4 b}+\frac{\log (\cosh (x))}{2 b}","\frac{\log (a+b \sinh (2 x))}{4 b}-\frac{\tanh ^{-1}\left(\frac{b-a \tanh (x)}{\sqrt{a^2+b^2}}\right)}{2 \sqrt{a^2+b^2}}",1,"-ArcTanh[(b - a*Tanh[x])/Sqrt[a^2 + b^2]]/(2*Sqrt[a^2 + b^2]) + Log[Cosh[x]]/(2*b) + Log[a + 2*b*Tanh[x] - a*Tanh[x]^2]/(4*b)","A",8,7,15,0.4667,1,"{981, 634, 618, 206, 628, 12, 260}"
1035,1,52,0,0.1340406,"\int \frac{\sinh ^2(x)}{a+b \cosh (2 x)} \, dx","Int[Sinh[x]^2/(a + b*Cosh[2*x]),x]","\frac{x}{2 b}-\frac{\sqrt{a+b} \tanh ^{-1}\left(\frac{\sqrt{a-b} \tanh (x)}{\sqrt{a+b}}\right)}{2 b \sqrt{a-b}}","\frac{x}{2 b}-\frac{\sqrt{a+b} \tanh ^{-1}\left(\frac{\sqrt{a-b} \tanh (x)}{\sqrt{a+b}}\right)}{2 b \sqrt{a-b}}",1,"x/(2*b) - (Sqrt[a + b]*ArcTanh[(Sqrt[a - b]*Tanh[x])/Sqrt[a + b]])/(2*Sqrt[a - b]*b)","A",4,2,15,0.1333,1,"{1130, 208}"
1036,1,52,0,0.1063546,"\int \frac{\cosh ^2(x)}{a+b \cosh (2 x)} \, dx","Int[Cosh[x]^2/(a + b*Cosh[2*x]),x]","\frac{x}{2 b}-\frac{\sqrt{a-b} \tanh ^{-1}\left(\frac{\sqrt{a-b} \tanh (x)}{\sqrt{a+b}}\right)}{2 b \sqrt{a+b}}","\frac{x}{2 b}-\frac{\sqrt{a-b} \tanh ^{-1}\left(\frac{\sqrt{a-b} \tanh (x)}{\sqrt{a+b}}\right)}{2 b \sqrt{a+b}}",1,"x/(2*b) - (Sqrt[a - b]*ArcTanh[(Sqrt[a - b]*Tanh[x])/Sqrt[a + b]])/(2*b*Sqrt[a + b])","A",4,2,15,0.1333,1,"{1093, 208}"
1037,1,30,0,0.0385723,"\int \frac{\tanh (c+d x)}{\sqrt{a \sinh ^2(c+d x)}} \, dx","Int[Tanh[c + d*x]/Sqrt[a*Sinh[c + d*x]^2],x]","\frac{\tan ^{-1}\left(\frac{\sqrt{a \sinh ^2(c+d x)}}{\sqrt{a}}\right)}{\sqrt{a} d}","\frac{\tan ^{-1}\left(\frac{\sqrt{a \sinh ^2(c+d x)}}{\sqrt{a}}\right)}{\sqrt{a} d}",1,"ArcTan[Sqrt[a*Sinh[c + d*x]^2]/Sqrt[a]]/(Sqrt[a]*d)","A",3,3,21,0.1429,1,"{3205, 63, 203}"
1038,1,31,0,0.0394633,"\int \frac{\coth (c+d x)}{\sqrt{a \cosh ^2(c+d x)}} \, dx","Int[Coth[c + d*x]/Sqrt[a*Cosh[c + d*x]^2],x]","-\frac{\tanh ^{-1}\left(\frac{\sqrt{a \cosh ^2(c+d x)}}{\sqrt{a}}\right)}{\sqrt{a} d}","-\frac{\tanh ^{-1}\left(\frac{\sqrt{a \cosh ^2(c+d x)}}{\sqrt{a}}\right)}{\sqrt{a} d}",1,"-(ArcTanh[Sqrt[a*Cosh[c + d*x]^2]/Sqrt[a]]/(Sqrt[a]*d))","A",3,3,21,0.1429,1,"{3205, 63, 206}"
1039,1,43,0,0.0725748,"\int x \cosh (2 x) \text{sech}(x) \, dx","Int[x*Cosh[2*x]*Sech[x],x]","i \text{PolyLog}\left(2,-i e^x\right)-i \text{PolyLog}\left(2,i e^x\right)-2 x \tan ^{-1}\left(e^x\right)+2 x \sinh (x)-2 \cosh (x)","i \text{PolyLog}\left(2,-i e^x\right)-i \text{PolyLog}\left(2,i e^x\right)-2 x \tan ^{-1}\left(e^x\right)+2 x \sinh (x)-2 \cosh (x)",1,"-2*x*ArcTan[E^x] - 2*Cosh[x] + I*PolyLog[2, (-I)*E^x] - I*PolyLog[2, I*E^x] + 2*x*Sinh[x]","A",12,7,8,0.8750,1,"{5473, 3296, 2638, 5449, 4180, 2279, 2391}"
1040,1,12,0,0.0358555,"\int x \cosh (2 x) \text{sech}^2(x) \, dx","Int[x*Cosh[2*x]*Sech[x]^2,x]","x^2-x \tanh (x)+\log (\cosh (x))","x^2-x \tanh (x)+\log (\cosh (x))",1,"x^2 + Log[Cosh[x]] - x*Tanh[x]","A",5,4,10,0.4000,1,"{5473, 3720, 3475, 30}"
1041,1,53,0,0.1318115,"\int x \cosh (2 x) \text{sech}^3(x) \, dx","Int[x*Cosh[2*x]*Sech[x]^3,x]","-\frac{3}{2} i \text{PolyLog}\left(2,-i e^x\right)+\frac{3}{2} i \text{PolyLog}\left(2,i e^x\right)+3 x \tan ^{-1}\left(e^x\right)-\frac{\text{sech}(x)}{2}-\frac{1}{2} x \tanh (x) \text{sech}(x)","-\frac{3}{2} i \text{PolyLog}\left(2,-i e^x\right)+\frac{3}{2} i \text{PolyLog}\left(2,i e^x\right)+3 x \tan ^{-1}\left(e^x\right)-\frac{\text{sech}(x)}{2}-\frac{1}{2} x \tanh (x) \text{sech}(x)",1,"3*x*ArcTan[E^x] - ((3*I)/2)*PolyLog[2, (-I)*E^x] + ((3*I)/2)*PolyLog[2, I*E^x] - Sech[x]/2 - (x*Sech[x]*Tanh[x])/2","A",19,6,10,0.6000,1,"{5473, 4180, 2279, 2391, 5455, 4185}"
1042,1,20,0,0.1669116,"\int \sqrt{\text{csch}(x)} (x \cosh (x)-4 \text{sech}(x) \tanh (x)) \, dx","Int[Sqrt[Csch[x]]*(x*Cosh[x] - 4*Sech[x]*Tanh[x]),x]","\frac{2 x}{\sqrt{\text{csch}(x)}}-\frac{4 \text{sech}(x)}{\text{csch}^{\frac{3}{2}}(x)}","\frac{2 x}{\sqrt{\text{csch}(x)}}-\frac{4 \text{sech}(x)}{\text{csch}^{\frac{3}{2}}(x)}",1,"(2*x)/Sqrt[Csch[x]] - (4*Sech[x])/Csch[x]^(3/2)","A",8,5,18,0.2778,1,"{6742, 5445, 3771, 2639, 2626}"
1043,1,22,0,0.0342234,"\int \sinh (x) (\cosh (x)+\sinh (x)) \, dx","Int[Sinh[x]*(Cosh[x] + Sinh[x]),x]","-\frac{x}{2}+\frac{\sinh ^2(x)}{2}+\frac{1}{2} \sinh (x) \cosh (x)","-\frac{x}{2}+\frac{\sinh ^2(x)}{2}+\frac{1}{2} \sinh (x) \cosh (x)",1,"-x/2 + (Cosh[x]*Sinh[x])/2 + Sinh[x]^2/2","A",6,5,8,0.6250,1,"{3089, 2564, 30, 2635, 8}"
1044,1,69,0,0.2005264,"\int \frac{1+\sinh ^2(x)}{1+\cosh (x)+\sinh (x)} \, dx","Int[(1 + Sinh[x]^2)/(1 + Cosh[x] + Sinh[x]),x]","\frac{1}{2 \left(1-\tanh \left(\frac{x}{2}\right)\right)}+\frac{1}{\tanh \left(\frac{x}{2}\right)+1}-\frac{1}{2 \left(\tanh \left(\frac{x}{2}\right)+1\right)^2}+\frac{1}{4} \log \left(1-\tanh \left(\frac{x}{2}\right)\right)+\frac{3}{4} \log \left(\tanh \left(\frac{x}{2}\right)+1\right)","\frac{1}{2 \left(1-\tanh \left(\frac{x}{2}\right)\right)}+\frac{1}{\tanh \left(\frac{x}{2}\right)+1}-\frac{1}{2 \left(\tanh \left(\frac{x}{2}\right)+1\right)^2}+\frac{1}{4} \log \left(1-\tanh \left(\frac{x}{2}\right)\right)+\frac{3}{4} \log \left(\tanh \left(\frac{x}{2}\right)+1\right)",1,"Log[1 - Tanh[x/2]]/4 + (3*Log[1 + Tanh[x/2]])/4 + 1/(2*(1 - Tanh[x/2])) - 1/(2*(1 + Tanh[x/2])^2) + (1 + Tanh[x/2])^(-1)","A",5,3,15,0.2000,1,"{4397, 12, 894}"
1045,1,129,0,0.1402607,"\int x^5 \cosh ^7\left(a+b x^3\right) \sinh \left(a+b x^3\right) \, dx","Int[x^5*Cosh[a + b*x^3]^7*Sinh[a + b*x^3],x]","-\frac{\sinh \left(a+b x^3\right) \cosh ^7\left(a+b x^3\right)}{192 b^2}-\frac{7 \sinh \left(a+b x^3\right) \cosh ^5\left(a+b x^3\right)}{1152 b^2}-\frac{35 \sinh \left(a+b x^3\right) \cosh ^3\left(a+b x^3\right)}{4608 b^2}-\frac{35 \sinh \left(a+b x^3\right) \cosh \left(a+b x^3\right)}{3072 b^2}+\frac{x^3 \cosh ^8\left(a+b x^3\right)}{24 b}-\frac{35 x^3}{3072 b}","-\frac{\sinh \left(a+b x^3\right) \cosh ^7\left(a+b x^3\right)}{192 b^2}-\frac{7 \sinh \left(a+b x^3\right) \cosh ^5\left(a+b x^3\right)}{1152 b^2}-\frac{35 \sinh \left(a+b x^3\right) \cosh ^3\left(a+b x^3\right)}{4608 b^2}-\frac{35 \sinh \left(a+b x^3\right) \cosh \left(a+b x^3\right)}{3072 b^2}+\frac{x^3 \cosh ^8\left(a+b x^3\right)}{24 b}-\frac{35 x^3}{3072 b}",1,"(-35*x^3)/(3072*b) + (x^3*Cosh[a + b*x^3]^8)/(24*b) - (35*Cosh[a + b*x^3]*Sinh[a + b*x^3])/(3072*b^2) - (35*Cosh[a + b*x^3]^3*Sinh[a + b*x^3])/(4608*b^2) - (7*Cosh[a + b*x^3]^5*Sinh[a + b*x^3])/(1152*b^2) - (Cosh[a + b*x^3]^7*Sinh[a + b*x^3])/(192*b^2)","A",7,4,22,0.1818,1,"{5373, 5321, 2635, 8}"
1046,1,39,0,0.0488001,"\int \frac{\cosh ^2(x)}{1+e^x} \, dx","Int[Cosh[x]^2/(1 + E^x),x]","\frac{3 x}{4}-\frac{e^{-2 x}}{8}+\frac{e^{-x}}{4}+\frac{e^x}{4}-\log \left(e^x+1\right)","\frac{3 x}{4}-\frac{e^{-2 x}}{8}+\frac{e^{-x}}{4}+\frac{e^x}{4}-\log \left(e^x+1\right)",1,"-1/(8*E^(2*x)) + 1/(4*E^x) + E^x/4 + (3*x)/4 - Log[1 + E^x]","A",4,3,12,0.2500,1,"{2282, 12, 894}"
1047,1,25,0,0.1000771,"\int \text{sech}(x) \sqrt{1+\text{sech}(x)} \tanh ^3(x) \, dx","Int[Sech[x]*Sqrt[1 + Sech[x]]*Tanh[x]^3,x]","\frac{2}{7} (\text{sech}(x)+1)^{7/2}-\frac{4}{5} (\text{sech}(x)+1)^{5/2}","\frac{2}{7} (\text{sech}(x)+1)^{7/2}-\frac{4}{5} (\text{sech}(x)+1)^{5/2}",1,"(-4*(1 + Sech[x])^(5/2))/5 + (2*(1 + Sech[x])^(7/2))/7","A",6,5,15,0.3333,1,"{4373, 1570, 1469, 627, 43}"
1048,1,37,0,0.1056717,"\int \coth ^3(x) \text{csch}(x) \sqrt{1+\text{csch}(x)} \, dx","Int[Coth[x]^3*Csch[x]*Sqrt[1 + Csch[x]],x]","-\frac{2}{7} (\text{csch}(x)+1)^{7/2}+\frac{4}{5} (\text{csch}(x)+1)^{5/2}-\frac{4}{3} (\text{csch}(x)+1)^{3/2}","-\frac{2}{7} (\text{csch}(x)+1)^{7/2}+\frac{4}{5} (\text{csch}(x)+1)^{5/2}-\frac{4}{3} (\text{csch}(x)+1)^{3/2}",1,"(-4*(1 + Csch[x])^(3/2))/3 + (4*(1 + Csch[x])^(5/2))/5 - (2*(1 + Csch[x])^(7/2))/7","A",5,4,15,0.2667,1,"{4372, 1570, 1469, 697}"
1049,1,4,0,0.1396961,"\int \cosh ^x(x) (\log (\cosh (x))+x \tanh (x)) \, dx","Int[Cosh[x]^x*(Log[Cosh[x]] + x*Tanh[x]),x]","\cosh ^x(x)","\cosh ^x(x)",1,"Cosh[x]^x","A",3,2,13,0.1538,1,"{6742, 2553}"
1050,1,27,0,0.0910117,"\int F^{a+b x} (\cosh (c+d x)+\sinh (c+d x))^n \, dx","Int[F^(a + b*x)*(Cosh[c + d*x] + Sinh[c + d*x])^n,x]","\frac{F^{a+b x} \left(e^{c+d x}\right)^n}{b \log (F)+d n}","\frac{F^{a+b x} \left(e^{c+d x}\right)^n}{b \log (F)+d n}",1,"((E^(c + d*x))^n*F^(a + b*x))/(d*n + b*Log[F])","A",4,4,23,0.1739,1,"{5648, 2281, 2287, 2194}"
1051,1,32,0,0.0946486,"\int F^{a+b x} (\cosh (c+d x)-\sinh (c+d x))^n \, dx","Int[F^(a + b*x)*(Cosh[c + d*x] - Sinh[c + d*x])^n,x]","-\frac{F^{a+b x} \left(e^{-c-d x}\right)^n}{d n-b \log (F)}","-\frac{F^{a+b x} \left(e^{-c-d x}\right)^n}{d n-b \log (F)}",1,"-(((E^(-c - d*x))^n*F^(a + b*x))/(d*n - b*Log[F]))","A",4,4,25,0.1600,1,"{5648, 2281, 2287, 2194}"
1052,1,51,0,0.1718896,"\int \frac{\cosh ^4(a+b x)-\sinh ^4(a+b x)}{\cosh ^4(a+b x)+\sinh ^4(a+b x)} \, dx","Int[(Cosh[a + b*x]^4 - Sinh[a + b*x]^4)/(Cosh[a + b*x]^4 + Sinh[a + b*x]^4),x]","\frac{\tan ^{-1}\left(\sqrt{2} \tanh (a+b x)+1\right)}{\sqrt{2} b}-\frac{\tan ^{-1}\left(1-\sqrt{2} \tanh (a+b x)\right)}{\sqrt{2} b}","\frac{\tan ^{-1}\left(\sqrt{2} \tanh (a+b x)+1\right)}{\sqrt{2} b}-\frac{\tan ^{-1}\left(1-\sqrt{2} \tanh (a+b x)\right)}{\sqrt{2} b}",1,"-(ArcTan[1 - Sqrt[2]*Tanh[a + b*x]]/(Sqrt[2]*b)) + ArcTan[1 + Sqrt[2]*Tanh[a + b*x]]/(Sqrt[2]*b)","A",6,3,39,0.07692,1,"{1162, 617, 204}"
1053,1,47,0,0.3278632,"\int \frac{\cosh ^3(a+b x)-\sinh ^3(a+b x)}{\cosh ^3(a+b x)+\sinh ^3(a+b x)} \, dx","Int[(Cosh[a + b*x]^3 - Sinh[a + b*x]^3)/(Cosh[a + b*x]^3 + Sinh[a + b*x]^3),x]","-\frac{1}{3 b (\tanh (a+b x)+1)}-\frac{4 \tan ^{-1}\left(\frac{1-2 \tanh (a+b x)}{\sqrt{3}}\right)}{3 \sqrt{3} b}","-\frac{1}{3 b (\tanh (a+b x)+1)}-\frac{4 \tan ^{-1}\left(\frac{1-2 \tanh (a+b x)}{\sqrt{3}}\right)}{3 \sqrt{3} b}",1,"(-4*ArcTan[(1 - 2*Tanh[a + b*x])/Sqrt[3]])/(3*Sqrt[3]*b) - 1/(3*b*(1 + Tanh[a + b*x]))","A",5,3,39,0.07692,1,"{2074, 618, 204}"
1054,1,11,0,0.0616019,"\int \frac{\cosh ^2(a+b x)-\sinh ^2(a+b x)}{\cosh ^2(a+b x)+\sinh ^2(a+b x)} \, dx","Int[(Cosh[a + b*x]^2 - Sinh[a + b*x]^2)/(Cosh[a + b*x]^2 + Sinh[a + b*x]^2),x]","\frac{\tan ^{-1}(\tanh (a+b x))}{b}","\frac{\tan ^{-1}(\tanh (a+b x))}{b}",1,"ArcTan[Tanh[a + b*x]]/b","A",3,2,39,0.05128,1,"{4380, 203}"
1055,1,22,0,0.0503993,"\int \frac{\cosh (a+b x)-\sinh (a+b x)}{\cosh (a+b x)+\sinh (a+b x)} \, dx","Int[(Cosh[a + b*x] - Sinh[a + b*x])/(Cosh[a + b*x] + Sinh[a + b*x]),x]","-\frac{1}{2 b (\sinh (a+b x)+\cosh (a+b x))^2}","-\frac{1}{2 b (\sinh (a+b x)+\cosh (a+b x))^2}",1,"-1/(2*b*(Cosh[a + b*x] + Sinh[a + b*x])^2)","A",1,1,31,0.03226,1,"{4385}"
1056,1,14,0,0.2066976,"\int \frac{-\text{csch}(a+b x)+\text{sech}(a+b x)}{\text{csch}(a+b x)+\text{sech}(a+b x)} \, dx","Int[(-Csch[a + b*x] + Sech[a + b*x])/(Csch[a + b*x] + Sech[a + b*x]),x]","\frac{1}{b (\tanh (a+b x)+1)}","\frac{1}{b (\tanh (a+b x)+1)}",1,"1/(b*(1 + Tanh[a + b*x]))","A",2,1,31,0.03226,1,"{32}"
1057,1,12,0,0.2634682,"\int \frac{-\text{csch}^2(a+b x)+\text{sech}^2(a+b x)}{\text{csch}^2(a+b x)+\text{sech}^2(a+b x)} \, dx","Int[(-Csch[a + b*x]^2 + Sech[a + b*x]^2)/(Csch[a + b*x]^2 + Sech[a + b*x]^2),x]","-\frac{\tan ^{-1}(\tanh (a+b x))}{b}","-\frac{\tan ^{-1}(\tanh (a+b x))}{b}",1,"-(ArcTan[Tanh[a + b*x]]/b)","A",2,1,39,0.02564,1,"{204}"
1058,1,47,0,0.4099904,"\int \frac{-\text{csch}^3(a+b x)+\text{sech}^3(a+b x)}{\text{csch}^3(a+b x)+\text{sech}^3(a+b x)} \, dx","Int[(-Csch[a + b*x]^3 + Sech[a + b*x]^3)/(Csch[a + b*x]^3 + Sech[a + b*x]^3),x]","\frac{1}{3 b (\tanh (a+b x)+1)}+\frac{4 \tan ^{-1}\left(\frac{1-2 \tanh (a+b x)}{\sqrt{3}}\right)}{3 \sqrt{3} b}","\frac{1}{3 b (\tanh (a+b x)+1)}+\frac{4 \tan ^{-1}\left(\frac{1-2 \tanh (a+b x)}{\sqrt{3}}\right)}{3 \sqrt{3} b}",1,"(4*ArcTan[(1 - 2*Tanh[a + b*x])/Sqrt[3]])/(3*Sqrt[3]*b) + 1/(3*b*(1 + Tanh[a + b*x]))","A",5,3,39,0.07692,1,"{2074, 618, 204}"
1059,1,51,0,1.4179146,"\int \frac{-\text{csch}^4(a+b x)+\text{sech}^4(a+b x)}{\text{csch}^4(a+b x)+\text{sech}^4(a+b x)} \, dx","Int[(-Csch[a + b*x]^4 + Sech[a + b*x]^4)/(Csch[a + b*x]^4 + Sech[a + b*x]^4),x]","\frac{\tan ^{-1}\left(1-\sqrt{2} \tanh (a+b x)\right)}{\sqrt{2} b}-\frac{\tan ^{-1}\left(\sqrt{2} \tanh (a+b x)+1\right)}{\sqrt{2} b}","\frac{\tan ^{-1}\left(1-\sqrt{2} \tanh (a+b x)\right)}{\sqrt{2} b}-\frac{\tan ^{-1}\left(\sqrt{2} \tanh (a+b x)+1\right)}{\sqrt{2} b}",1,"ArcTan[1 - Sqrt[2]*Tanh[a + b*x]]/(Sqrt[2]*b) - ArcTan[1 + Sqrt[2]*Tanh[a + b*x]]/(Sqrt[2]*b)","A",6,3,39,0.07692,1,"{1162, 617, 204}"