1,1,43,0,0.0239146,"\int \tanh ^6(a+b x) \, dx","Int[Tanh[a + b*x]^6,x]","-\frac{\tanh ^5(a+b x)}{5 b}-\frac{\tanh ^3(a+b x)}{3 b}-\frac{\tanh (a+b x)}{b}+x","-\frac{\tanh ^5(a+b x)}{5 b}-\frac{\tanh ^3(a+b x)}{3 b}-\frac{\tanh (a+b x)}{b}+x",1,"x - Tanh[a + b*x]/b - Tanh[a + b*x]^3/(3*b) - Tanh[a + b*x]^5/(5*b)","A",4,2,8,0.2500,1,"{3473, 8}"
2,1,42,0,0.0333051,"\int \tanh ^5(a+b x) \, dx","Int[Tanh[a + b*x]^5,x]","-\frac{\tanh ^4(a+b x)}{4 b}-\frac{\tanh ^2(a+b x)}{2 b}+\frac{\log (\cosh (a+b x))}{b}","-\frac{\tanh ^4(a+b x)}{4 b}-\frac{\tanh ^2(a+b x)}{2 b}+\frac{\log (\cosh (a+b x))}{b}",1,"Log[Cosh[a + b*x]]/b - Tanh[a + b*x]^2/(2*b) - Tanh[a + b*x]^4/(4*b)","A",3,2,8,0.2500,1,"{3473, 3475}"
3,1,28,0,0.015812,"\int \tanh ^4(a+b x) \, dx","Int[Tanh[a + b*x]^4,x]","-\frac{\tanh ^3(a+b x)}{3 b}-\frac{\tanh (a+b x)}{b}+x","-\frac{\tanh ^3(a+b x)}{3 b}-\frac{\tanh (a+b x)}{b}+x",1,"x - Tanh[a + b*x]/b - Tanh[a + b*x]^3/(3*b)","A",3,2,8,0.2500,1,"{3473, 8}"
4,1,27,0,0.0171541,"\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}"
5,1,13,0,0.0085303,"\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}"
6,1,11,0,0.0057195,"\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}"
7,1,11,0,0.0059246,"\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}"
8,1,13,0,0.0081182,"\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}"
9,1,27,0,0.0175013,"\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}"
10,1,28,0,0.0161894,"\int \coth ^4(a+b x) \, dx","Int[Coth[a + b*x]^4,x]","-\frac{\coth ^3(a+b x)}{3 b}-\frac{\coth (a+b x)}{b}+x","-\frac{\coth ^3(a+b x)}{3 b}-\frac{\coth (a+b x)}{b}+x",1,"x - Coth[a + b*x]/b - Coth[a + b*x]^3/(3*b)","A",3,2,8,0.2500,1,"{3473, 8}"
11,1,42,0,0.0330967,"\int \coth ^5(a+b x) \, dx","Int[Coth[a + b*x]^5,x]","-\frac{\coth ^4(a+b x)}{4 b}-\frac{\coth ^2(a+b x)}{2 b}+\frac{\log (\sinh (a+b x))}{b}","-\frac{\coth ^4(a+b x)}{4 b}-\frac{\coth ^2(a+b x)}{2 b}+\frac{\log (\sinh (a+b x))}{b}",1,"-Coth[a + b*x]^2/(2*b) - Coth[a + b*x]^4/(4*b) + Log[Sinh[a + b*x]]/b","A",3,2,8,0.2500,1,"{3473, 3475}"
12,1,43,0,0.0241105,"\int \coth ^6(a+b x) \, dx","Int[Coth[a + b*x]^6,x]","-\frac{\coth ^5(a+b x)}{5 b}-\frac{\coth ^3(a+b x)}{3 b}-\frac{\coth (a+b x)}{b}+x","-\frac{\coth ^5(a+b x)}{5 b}-\frac{\coth ^3(a+b x)}{3 b}-\frac{\coth (a+b x)}{b}+x",1,"x - Coth[a + b*x]/b - Coth[a + b*x]^3/(3*b) - Coth[a + b*x]^5/(5*b)","A",4,2,8,0.2500,1,"{3473, 8}"
13,1,97,0,0.0698837,"\int (b \tanh (c+d x))^{7/2} \, dx","Int[(b*Tanh[c + d*x])^(7/2),x]","\frac{b^{7/2} \tanh ^{-1}\left(\frac{\sqrt{b \tanh (c+d x)}}{\sqrt{b}}\right)}{d}-\frac{2 b^3 \sqrt{b \tanh (c+d x)}}{d}+\frac{b^{7/2} \tan ^{-1}\left(\frac{\sqrt{b \tanh (c+d x)}}{\sqrt{b}}\right)}{d}-\frac{2 b (b \tanh (c+d x))^{5/2}}{5 d}","\frac{b^{7/2} \tanh ^{-1}\left(\frac{\sqrt{b \tanh (c+d x)}}{\sqrt{b}}\right)}{d}-\frac{2 b^3 \sqrt{b \tanh (c+d x)}}{d}+\frac{b^{7/2} \tan ^{-1}\left(\frac{\sqrt{b \tanh (c+d x)}}{\sqrt{b}}\right)}{d}-\frac{2 b (b \tanh (c+d x))^{5/2}}{5 d}",1,"(b^(7/2)*ArcTan[Sqrt[b*Tanh[c + d*x]]/Sqrt[b]])/d + (b^(7/2)*ArcTanh[Sqrt[b*Tanh[c + d*x]]/Sqrt[b]])/d - (2*b^3*Sqrt[b*Tanh[c + d*x]])/d - (2*b*(b*Tanh[c + d*x])^(5/2))/(5*d)","A",7,6,12,0.5000,1,"{3473, 3476, 329, 212, 206, 203}"
14,1,78,0,0.0487595,"\int (b \tanh (c+d x))^{5/2} \, dx","Int[(b*Tanh[c + d*x])^(5/2),x]","\frac{b^{5/2} \tanh ^{-1}\left(\frac{\sqrt{b \tanh (c+d x)}}{\sqrt{b}}\right)}{d}-\frac{b^{5/2} \tan ^{-1}\left(\frac{\sqrt{b \tanh (c+d x)}}{\sqrt{b}}\right)}{d}-\frac{2 b (b \tanh (c+d x))^{3/2}}{3 d}","\frac{b^{5/2} \tanh ^{-1}\left(\frac{\sqrt{b \tanh (c+d x)}}{\sqrt{b}}\right)}{d}-\frac{b^{5/2} \tan ^{-1}\left(\frac{\sqrt{b \tanh (c+d x)}}{\sqrt{b}}\right)}{d}-\frac{2 b (b \tanh (c+d x))^{3/2}}{3 d}",1,"-((b^(5/2)*ArcTan[Sqrt[b*Tanh[c + d*x]]/Sqrt[b]])/d) + (b^(5/2)*ArcTanh[Sqrt[b*Tanh[c + d*x]]/Sqrt[b]])/d - (2*b*(b*Tanh[c + d*x])^(3/2))/(3*d)","A",6,6,12,0.5000,1,"{3473, 3476, 329, 298, 203, 206}"
15,1,75,0,0.0505646,"\int (b \tanh (c+d x))^{3/2} \, dx","Int[(b*Tanh[c + d*x])^(3/2),x]","\frac{b^{3/2} \tanh ^{-1}\left(\frac{\sqrt{b \tanh (c+d x)}}{\sqrt{b}}\right)}{d}+\frac{b^{3/2} \tan ^{-1}\left(\frac{\sqrt{b \tanh (c+d x)}}{\sqrt{b}}\right)}{d}-\frac{2 b \sqrt{b \tanh (c+d x)}}{d}","\frac{b^{3/2} \tanh ^{-1}\left(\frac{\sqrt{b \tanh (c+d x)}}{\sqrt{b}}\right)}{d}+\frac{b^{3/2} \tan ^{-1}\left(\frac{\sqrt{b \tanh (c+d x)}}{\sqrt{b}}\right)}{d}-\frac{2 b \sqrt{b \tanh (c+d x)}}{d}",1,"(b^(3/2)*ArcTan[Sqrt[b*Tanh[c + d*x]]/Sqrt[b]])/d + (b^(3/2)*ArcTanh[Sqrt[b*Tanh[c + d*x]]/Sqrt[b]])/d - (2*b*Sqrt[b*Tanh[c + d*x]])/d","A",6,6,12,0.5000,1,"{3473, 3476, 329, 212, 206, 203}"
16,1,58,0,0.0319265,"\int \sqrt{b \tanh (c+d x)} \, dx","Int[Sqrt[b*Tanh[c + d*x]],x]","\frac{\sqrt{b} \tanh ^{-1}\left(\frac{\sqrt{b \tanh (c+d x)}}{\sqrt{b}}\right)}{d}-\frac{\sqrt{b} \tan ^{-1}\left(\frac{\sqrt{b \tanh (c+d x)}}{\sqrt{b}}\right)}{d}","\frac{\sqrt{b} \tanh ^{-1}\left(\frac{\sqrt{b \tanh (c+d x)}}{\sqrt{b}}\right)}{d}-\frac{\sqrt{b} \tan ^{-1}\left(\frac{\sqrt{b \tanh (c+d x)}}{\sqrt{b}}\right)}{d}",1,"-((Sqrt[b]*ArcTan[Sqrt[b*Tanh[c + d*x]]/Sqrt[b]])/d) + (Sqrt[b]*ArcTanh[Sqrt[b*Tanh[c + d*x]]/Sqrt[b]])/d","A",5,5,12,0.4167,1,"{3476, 329, 298, 203, 206}"
17,1,57,0,0.0315493,"\int \frac{1}{\sqrt{b \tanh (c+d x)}} \, dx","Int[1/Sqrt[b*Tanh[c + d*x]],x]","\frac{\tanh ^{-1}\left(\frac{\sqrt{b \tanh (c+d x)}}{\sqrt{b}}\right)}{\sqrt{b} d}+\frac{\tan ^{-1}\left(\frac{\sqrt{b \tanh (c+d x)}}{\sqrt{b}}\right)}{\sqrt{b} d}","\frac{\tanh ^{-1}\left(\frac{\sqrt{b \tanh (c+d x)}}{\sqrt{b}}\right)}{\sqrt{b} d}+\frac{\tan ^{-1}\left(\frac{\sqrt{b \tanh (c+d x)}}{\sqrt{b}}\right)}{\sqrt{b} d}",1,"ArcTan[Sqrt[b*Tanh[c + d*x]]/Sqrt[b]]/(Sqrt[b]*d) + ArcTanh[Sqrt[b*Tanh[c + d*x]]/Sqrt[b]]/(Sqrt[b]*d)","A",5,5,12,0.4167,1,"{3476, 329, 212, 206, 203}"
18,1,78,0,0.048383,"\int \frac{1}{(b \tanh (c+d x))^{3/2}} \, dx","Int[(b*Tanh[c + d*x])^(-3/2),x]","\frac{\tanh ^{-1}\left(\frac{\sqrt{b \tanh (c+d x)}}{\sqrt{b}}\right)}{b^{3/2} d}-\frac{\tan ^{-1}\left(\frac{\sqrt{b \tanh (c+d x)}}{\sqrt{b}}\right)}{b^{3/2} d}-\frac{2}{b d \sqrt{b \tanh (c+d x)}}","\frac{\tanh ^{-1}\left(\frac{\sqrt{b \tanh (c+d x)}}{\sqrt{b}}\right)}{b^{3/2} d}-\frac{\tan ^{-1}\left(\frac{\sqrt{b \tanh (c+d x)}}{\sqrt{b}}\right)}{b^{3/2} d}-\frac{2}{b d \sqrt{b \tanh (c+d x)}}",1,"-(ArcTan[Sqrt[b*Tanh[c + d*x]]/Sqrt[b]]/(b^(3/2)*d)) + ArcTanh[Sqrt[b*Tanh[c + d*x]]/Sqrt[b]]/(b^(3/2)*d) - 2/(b*d*Sqrt[b*Tanh[c + d*x]])","A",6,6,12,0.5000,1,"{3474, 3476, 329, 298, 203, 206}"
19,1,79,0,0.0487133,"\int \frac{1}{(b \tanh (c+d x))^{5/2}} \, dx","Int[(b*Tanh[c + d*x])^(-5/2),x]","\frac{\tanh ^{-1}\left(\frac{\sqrt{b \tanh (c+d x)}}{\sqrt{b}}\right)}{b^{5/2} d}+\frac{\tan ^{-1}\left(\frac{\sqrt{b \tanh (c+d x)}}{\sqrt{b}}\right)}{b^{5/2} d}-\frac{2}{3 b d (b \tanh (c+d x))^{3/2}}","\frac{\tanh ^{-1}\left(\frac{\sqrt{b \tanh (c+d x)}}{\sqrt{b}}\right)}{b^{5/2} d}+\frac{\tan ^{-1}\left(\frac{\sqrt{b \tanh (c+d x)}}{\sqrt{b}}\right)}{b^{5/2} d}-\frac{2}{3 b d (b \tanh (c+d x))^{3/2}}",1,"ArcTan[Sqrt[b*Tanh[c + d*x]]/Sqrt[b]]/(b^(5/2)*d) + ArcTanh[Sqrt[b*Tanh[c + d*x]]/Sqrt[b]]/(b^(5/2)*d) - 2/(3*b*d*(b*Tanh[c + d*x])^(3/2))","A",6,6,12,0.5000,1,"{3474, 3476, 329, 212, 206, 203}"
20,1,100,0,0.0671875,"\int \frac{1}{(b \tanh (c+d x))^{7/2}} \, dx","Int[(b*Tanh[c + d*x])^(-7/2),x]","\frac{\tanh ^{-1}\left(\frac{\sqrt{b \tanh (c+d x)}}{\sqrt{b}}\right)}{b^{7/2} d}-\frac{2}{b^3 d \sqrt{b \tanh (c+d x)}}-\frac{\tan ^{-1}\left(\frac{\sqrt{b \tanh (c+d x)}}{\sqrt{b}}\right)}{b^{7/2} d}-\frac{2}{5 b d (b \tanh (c+d x))^{5/2}}","\frac{\tanh ^{-1}\left(\frac{\sqrt{b \tanh (c+d x)}}{\sqrt{b}}\right)}{b^{7/2} d}-\frac{2}{b^3 d \sqrt{b \tanh (c+d x)}}-\frac{\tan ^{-1}\left(\frac{\sqrt{b \tanh (c+d x)}}{\sqrt{b}}\right)}{b^{7/2} d}-\frac{2}{5 b d (b \tanh (c+d x))^{5/2}}",1,"-(ArcTan[Sqrt[b*Tanh[c + d*x]]/Sqrt[b]]/(b^(7/2)*d)) + ArcTanh[Sqrt[b*Tanh[c + d*x]]/Sqrt[b]]/(b^(7/2)*d) - 2/(5*b*d*(b*Tanh[c + d*x])^(5/2)) - 2/(b^3*d*Sqrt[b*Tanh[c + d*x]])","A",7,6,12,0.5000,1,"{3474, 3476, 329, 298, 203, 206}"
21,1,69,0,0.0597553,"\int \sqrt[3]{\tanh (8 x)} \, dx","Int[Tanh[8*x]^(1/3),x]","-\frac{1}{16} \log \left(1-\tanh ^{\frac{2}{3}}(8 x)\right)+\frac{1}{32} \log \left(\tanh ^{\frac{4}{3}}(8 x)+\tanh ^{\frac{2}{3}}(8 x)+1\right)-\frac{1}{16} \sqrt{3} \tan ^{-1}\left(\frac{2 \tanh ^{\frac{2}{3}}(8 x)+1}{\sqrt{3}}\right)","-\frac{1}{16} \log \left(1-\tanh ^{\frac{2}{3}}(8 x)\right)+\frac{1}{32} \log \left(\tanh ^{\frac{4}{3}}(8 x)+\tanh ^{\frac{2}{3}}(8 x)+1\right)-\frac{1}{16} \sqrt{3} \tan ^{-1}\left(\frac{2 \tanh ^{\frac{2}{3}}(8 x)+1}{\sqrt{3}}\right)",1,"-(Sqrt[3]*ArcTan[(1 + 2*Tanh[8*x]^(2/3))/Sqrt[3]])/16 - Log[1 - Tanh[8*x]^(2/3)]/16 + Log[1 + Tanh[8*x]^(2/3) + Tanh[8*x]^(4/3)]/32","A",9,9,8,1.125,1,"{3476, 329, 275, 292, 31, 634, 618, 204, 628}"
22,1,43,0,0.0219585,"\int \tanh ^n(a+b x) \, dx","Int[Tanh[a + b*x]^n,x]","\frac{\tanh ^{n+1}(a+b x) \, _2F_1\left(1,\frac{n+1}{2};\frac{n+3}{2};\tanh ^2(a+b x)\right)}{b (n+1)}","\frac{\tanh ^{n+1}(a+b x) \, _2F_1\left(1,\frac{n+1}{2};\frac{n+3}{2};\tanh ^2(a+b x)\right)}{b (n+1)}",1,"(Hypergeometric2F1[1, (1 + n)/2, (3 + n)/2, Tanh[a + b*x]^2]*Tanh[a + b*x]^(1 + n))/(b*(1 + n))","A",2,2,8,0.2500,1,"{3476, 364}"
23,1,48,0,0.026378,"\int (b \tanh (c+d x))^n \, dx","Int[(b*Tanh[c + d*x])^n,x]","\frac{(b \tanh (c+d x))^{n+1} \, _2F_1\left(1,\frac{n+1}{2};\frac{n+3}{2};\tanh ^2(c+d x)\right)}{b d (n+1)}","\frac{(b \tanh (c+d x))^{n+1} \, _2F_1\left(1,\frac{n+1}{2};\frac{n+3}{2};\tanh ^2(c+d x)\right)}{b d (n+1)}",1,"(Hypergeometric2F1[1, (1 + n)/2, (3 + n)/2, Tanh[c + d*x]^2]*(b*Tanh[c + d*x])^(1 + n))/(b*d*(1 + n))","A",2,2,10,0.2000,1,"{3476, 364}"
24,1,35,0,0.020685,"\int \left(a \tanh ^2(x)\right)^{3/2} \, dx","Int[(a*Tanh[x]^2)^(3/2),x]","a \coth (x) \sqrt{a \tanh ^2(x)} \log (\cosh (x))-\frac{1}{2} a \tanh (x) \sqrt{a \tanh ^2(x)}","a \coth (x) \sqrt{a \tanh ^2(x)} \log (\cosh (x))-\frac{1}{2} a \tanh (x) \sqrt{a \tanh ^2(x)}",1,"a*Coth[x]*Log[Cosh[x]]*Sqrt[a*Tanh[x]^2] - (a*Tanh[x]*Sqrt[a*Tanh[x]^2])/2","A",3,3,10,0.3000,1,"{3658, 3473, 3475}"
25,1,16,0,0.0153141,"\int \sqrt{a \tanh ^2(x)} \, dx","Int[Sqrt[a*Tanh[x]^2],x]","\coth (x) \sqrt{a \tanh ^2(x)} \log (\cosh (x))","\coth (x) \sqrt{a \tanh ^2(x)} \log (\cosh (x))",1,"Coth[x]*Log[Cosh[x]]*Sqrt[a*Tanh[x]^2]","A",2,2,10,0.2000,1,"{3658, 3475}"
26,1,16,0,0.0154868,"\int \frac{1}{\sqrt{a \tanh ^2(x)}} \, dx","Int[1/Sqrt[a*Tanh[x]^2],x]","\frac{\tanh (x) \log (\sinh (x))}{\sqrt{a \tanh ^2(x)}}","\frac{\tanh (x) \log (\sinh (x))}{\sqrt{a \tanh ^2(x)}}",1,"(Log[Sinh[x]]*Tanh[x])/Sqrt[a*Tanh[x]^2]","A",2,2,10,0.2000,1,"{3658, 3475}"
27,1,88,0,0.0485525,"\int \left(-\tanh ^2(c+d x)\right)^{5/2} \, dx","Int[(-Tanh[c + d*x]^2)^(5/2),x]","-\frac{\sqrt{-\tanh ^2(c+d x)} \tanh ^3(c+d x)}{4 d}-\frac{\sqrt{-\tanh ^2(c+d x)} \tanh (c+d x)}{2 d}+\frac{\sqrt{-\tanh ^2(c+d x)} \coth (c+d x) \log (\cosh (c+d x))}{d}","-\frac{\sqrt{-\tanh ^2(c+d x)} \tanh ^3(c+d x)}{4 d}-\frac{\sqrt{-\tanh ^2(c+d x)} \tanh (c+d x)}{2 d}+\frac{\sqrt{-\tanh ^2(c+d x)} \coth (c+d x) \log (\cosh (c+d x))}{d}",1,"(Coth[c + d*x]*Log[Cosh[c + d*x]]*Sqrt[-Tanh[c + d*x]^2])/d - (Tanh[c + d*x]*Sqrt[-Tanh[c + d*x]^2])/(2*d) - (Tanh[c + d*x]^3*Sqrt[-Tanh[c + d*x]^2])/(4*d)","A",4,3,14,0.2143,1,"{3658, 3473, 3475}"
28,1,60,0,0.0322464,"\int \left(-\tanh ^2(c+d x)\right)^{3/2} \, dx","Int[(-Tanh[c + d*x]^2)^(3/2),x]","\frac{\tanh (c+d x) \sqrt{-\tanh ^2(c+d x)}}{2 d}-\frac{\sqrt{-\tanh ^2(c+d x)} \coth (c+d x) \log (\cosh (c+d x))}{d}","\frac{\tanh (c+d x) \sqrt{-\tanh ^2(c+d x)}}{2 d}-\frac{\sqrt{-\tanh ^2(c+d x)} \coth (c+d x) \log (\cosh (c+d x))}{d}",1,"-((Coth[c + d*x]*Log[Cosh[c + d*x]]*Sqrt[-Tanh[c + d*x]^2])/d) + (Tanh[c + d*x]*Sqrt[-Tanh[c + d*x]^2])/(2*d)","A",3,3,14,0.2143,1,"{3658, 3473, 3475}"
29,1,31,0,0.0176316,"\int \sqrt{-\tanh ^2(c+d x)} \, dx","Int[Sqrt[-Tanh[c + d*x]^2],x]","\frac{\sqrt{-\tanh ^2(c+d x)} \coth (c+d x) \log (\cosh (c+d x))}{d}","\frac{\sqrt{-\tanh ^2(c+d x)} \coth (c+d x) \log (\cosh (c+d x))}{d}",1,"(Coth[c + d*x]*Log[Cosh[c + d*x]]*Sqrt[-Tanh[c + d*x]^2])/d","A",2,2,14,0.1429,1,"{3658, 3475}"
30,1,31,0,0.0174017,"\int \frac{1}{\sqrt{-\tanh ^2(c+d x)}} \, dx","Int[1/Sqrt[-Tanh[c + d*x]^2],x]","\frac{\tanh (c+d x) \log (\sinh (c+d x))}{d \sqrt{-\tanh ^2(c+d x)}}","\frac{\tanh (c+d x) \log (\sinh (c+d x))}{d \sqrt{-\tanh ^2(c+d x)}}",1,"(Log[Sinh[c + d*x]]*Tanh[c + d*x])/(d*Sqrt[-Tanh[c + d*x]^2])","A",2,2,14,0.1429,1,"{3658, 3475}"
31,1,60,0,0.0309542,"\int \frac{1}{\left(-\tanh ^2(c+d x)\right)^{3/2}} \, dx","Int[(-Tanh[c + d*x]^2)^(-3/2),x]","\frac{\coth (c+d x)}{2 d \sqrt{-\tanh ^2(c+d x)}}-\frac{\tanh (c+d x) \log (\sinh (c+d x))}{d \sqrt{-\tanh ^2(c+d x)}}","\frac{\coth (c+d x)}{2 d \sqrt{-\tanh ^2(c+d x)}}-\frac{\tanh (c+d x) \log (\sinh (c+d x))}{d \sqrt{-\tanh ^2(c+d x)}}",1,"Coth[c + d*x]/(2*d*Sqrt[-Tanh[c + d*x]^2]) - (Log[Sinh[c + d*x]]*Tanh[c + d*x])/(d*Sqrt[-Tanh[c + d*x]^2])","A",3,3,14,0.2143,1,"{3658, 3473, 3475}"
32,1,88,0,0.0480801,"\int \frac{1}{\left(-\tanh ^2(c+d x)\right)^{5/2}} \, dx","Int[(-Tanh[c + d*x]^2)^(-5/2),x]","-\frac{\coth ^3(c+d x)}{4 d \sqrt{-\tanh ^2(c+d x)}}-\frac{\coth (c+d x)}{2 d \sqrt{-\tanh ^2(c+d x)}}+\frac{\tanh (c+d x) \log (\sinh (c+d x))}{d \sqrt{-\tanh ^2(c+d x)}}","-\frac{\coth ^3(c+d x)}{4 d \sqrt{-\tanh ^2(c+d x)}}-\frac{\coth (c+d x)}{2 d \sqrt{-\tanh ^2(c+d x)}}+\frac{\tanh (c+d x) \log (\sinh (c+d x))}{d \sqrt{-\tanh ^2(c+d x)}}",1,"-Coth[c + d*x]/(2*d*Sqrt[-Tanh[c + d*x]^2]) - Coth[c + d*x]^3/(4*d*Sqrt[-Tanh[c + d*x]^2]) + (Log[Sinh[c + d*x]]*Tanh[c + d*x])/(d*Sqrt[-Tanh[c + d*x]^2])","A",4,3,14,0.2143,1,"{3658, 3473, 3475}"
33,1,57,0,0.0379271,"\int \sqrt{\tanh ^3(x)} \, dx","Int[Sqrt[Tanh[x]^3],x]","\frac{\tanh ^{-1}\left(\sqrt{\tanh (x)}\right) \sqrt{\tanh ^3(x)}}{\tanh ^{\frac{3}{2}}(x)}+\frac{\sqrt{\tanh ^3(x)} \tan ^{-1}\left(\sqrt{\tanh (x)}\right)}{\tanh ^{\frac{3}{2}}(x)}-2 \sqrt{\tanh ^3(x)} \coth (x)","\frac{\tanh ^{-1}\left(\sqrt{\tanh (x)}\right) \sqrt{\tanh ^3(x)}}{\tanh ^{\frac{3}{2}}(x)}+\frac{\sqrt{\tanh ^3(x)} \tan ^{-1}\left(\sqrt{\tanh (x)}\right)}{\tanh ^{\frac{3}{2}}(x)}-2 \sqrt{\tanh ^3(x)} \coth (x)",1,"-2*Coth[x]*Sqrt[Tanh[x]^3] + (ArcTan[Sqrt[Tanh[x]]]*Sqrt[Tanh[x]^3])/Tanh[x]^(3/2) + (ArcTanh[Sqrt[Tanh[x]]]*Sqrt[Tanh[x]^3])/Tanh[x]^(3/2)","A",7,7,8,0.8750,1,"{3658, 3473, 3476, 329, 212, 206, 203}"
34,1,86,0,0.0366665,"\int \left(a \tanh ^3(x)\right)^{3/2} \, dx","Int[(a*Tanh[x]^3)^(3/2),x]","-\frac{2}{7} a \tanh ^2(x) \sqrt{a \tanh ^3(x)}-\frac{2}{3} a \sqrt{a \tanh ^3(x)}+\frac{a \tanh ^{-1}\left(\sqrt{\tanh (x)}\right) \sqrt{a \tanh ^3(x)}}{\tanh ^{\frac{3}{2}}(x)}-\frac{a \sqrt{a \tanh ^3(x)} \tan ^{-1}\left(\sqrt{\tanh (x)}\right)}{\tanh ^{\frac{3}{2}}(x)}","-\frac{2}{7} a \tanh ^2(x) \sqrt{a \tanh ^3(x)}-\frac{2}{3} a \sqrt{a \tanh ^3(x)}+\frac{a \tanh ^{-1}\left(\sqrt{\tanh (x)}\right) \sqrt{a \tanh ^3(x)}}{\tanh ^{\frac{3}{2}}(x)}-\frac{a \sqrt{a \tanh ^3(x)} \tan ^{-1}\left(\sqrt{\tanh (x)}\right)}{\tanh ^{\frac{3}{2}}(x)}",1,"(-2*a*Sqrt[a*Tanh[x]^3])/3 - (a*ArcTan[Sqrt[Tanh[x]]]*Sqrt[a*Tanh[x]^3])/Tanh[x]^(3/2) + (a*ArcTanh[Sqrt[Tanh[x]]]*Sqrt[a*Tanh[x]^3])/Tanh[x]^(3/2) - (2*a*Tanh[x]^2*Sqrt[a*Tanh[x]^3])/7","A",8,7,10,0.7000,1,"{3658, 3473, 3476, 329, 298, 203, 206}"
35,1,63,0,0.0296038,"\int \sqrt{a \tanh ^3(x)} \, dx","Int[Sqrt[a*Tanh[x]^3],x]","\frac{\tanh ^{-1}\left(\sqrt{\tanh (x)}\right) \sqrt{a \tanh ^3(x)}}{\tanh ^{\frac{3}{2}}(x)}+\frac{\sqrt{a \tanh ^3(x)} \tan ^{-1}\left(\sqrt{\tanh (x)}\right)}{\tanh ^{\frac{3}{2}}(x)}-2 \coth (x) \sqrt{a \tanh ^3(x)}","\frac{\tanh ^{-1}\left(\sqrt{\tanh (x)}\right) \sqrt{a \tanh ^3(x)}}{\tanh ^{\frac{3}{2}}(x)}+\frac{\sqrt{a \tanh ^3(x)} \tan ^{-1}\left(\sqrt{\tanh (x)}\right)}{\tanh ^{\frac{3}{2}}(x)}-2 \coth (x) \sqrt{a \tanh ^3(x)}",1,"-2*Coth[x]*Sqrt[a*Tanh[x]^3] + (ArcTan[Sqrt[Tanh[x]]]*Sqrt[a*Tanh[x]^3])/Tanh[x]^(3/2) + (ArcTanh[Sqrt[Tanh[x]]]*Sqrt[a*Tanh[x]^3])/Tanh[x]^(3/2)","A",7,7,10,0.7000,1,"{3658, 3473, 3476, 329, 212, 206, 203}"
36,1,64,0,0.030095,"\int \frac{1}{\sqrt{a \tanh ^3(x)}} \, dx","Int[1/Sqrt[a*Tanh[x]^3],x]","\frac{\tanh ^{-1}\left(\sqrt{\tanh (x)}\right) \tanh ^{\frac{3}{2}}(x)}{\sqrt{a \tanh ^3(x)}}-\frac{2 \tanh (x)}{\sqrt{a \tanh ^3(x)}}-\frac{\tanh ^{\frac{3}{2}}(x) \tan ^{-1}\left(\sqrt{\tanh (x)}\right)}{\sqrt{a \tanh ^3(x)}}","\frac{\tanh ^{-1}\left(\sqrt{\tanh (x)}\right) \tanh ^{\frac{3}{2}}(x)}{\sqrt{a \tanh ^3(x)}}-\frac{2 \tanh (x)}{\sqrt{a \tanh ^3(x)}}-\frac{\tanh ^{\frac{3}{2}}(x) \tan ^{-1}\left(\sqrt{\tanh (x)}\right)}{\sqrt{a \tanh ^3(x)}}",1,"(-2*Tanh[x])/Sqrt[a*Tanh[x]^3] - (ArcTan[Sqrt[Tanh[x]]]*Tanh[x]^(3/2))/Sqrt[a*Tanh[x]^3] + (ArcTanh[Sqrt[Tanh[x]]]*Tanh[x]^(3/2))/Sqrt[a*Tanh[x]^3]","A",7,7,10,0.7000,1,"{3658, 3474, 3476, 329, 298, 203, 206}"
37,1,69,0,0.0262483,"\int \left(a \tanh ^4(x)\right)^{3/2} \, dx","Int[(a*Tanh[x]^4)^(3/2),x]","-\frac{1}{5} a \tanh ^3(x) \sqrt{a \tanh ^4(x)}-\frac{1}{3} a \tanh (x) \sqrt{a \tanh ^4(x)}+a x \coth ^2(x) \sqrt{a \tanh ^4(x)}-a \coth (x) \sqrt{a \tanh ^4(x)}","-\frac{1}{5} a \tanh ^3(x) \sqrt{a \tanh ^4(x)}-\frac{1}{3} a \tanh (x) \sqrt{a \tanh ^4(x)}+a x \coth ^2(x) \sqrt{a \tanh ^4(x)}-a \coth (x) \sqrt{a \tanh ^4(x)}",1,"-(a*Coth[x]*Sqrt[a*Tanh[x]^4]) + a*x*Coth[x]^2*Sqrt[a*Tanh[x]^4] - (a*Tanh[x]*Sqrt[a*Tanh[x]^4])/3 - (a*Tanh[x]^3*Sqrt[a*Tanh[x]^4])/5","A",5,3,10,0.3000,1,"{3658, 3473, 8}"
38,1,31,0,0.0137952,"\int \sqrt{a \tanh ^4(x)} \, dx","Int[Sqrt[a*Tanh[x]^4],x]","x \coth ^2(x) \sqrt{a \tanh ^4(x)}-\coth (x) \sqrt{a \tanh ^4(x)}","x \coth ^2(x) \sqrt{a \tanh ^4(x)}-\coth (x) \sqrt{a \tanh ^4(x)}",1,"-(Coth[x]*Sqrt[a*Tanh[x]^4]) + x*Coth[x]^2*Sqrt[a*Tanh[x]^4]","A",3,3,10,0.3000,1,"{3658, 3473, 8}"
39,1,31,0,0.0138879,"\int \frac{1}{\sqrt{a \tanh ^4(x)}} \, dx","Int[1/Sqrt[a*Tanh[x]^4],x]","\frac{x \tanh ^2(x)}{\sqrt{a \tanh ^4(x)}}-\frac{\tanh (x)}{\sqrt{a \tanh ^4(x)}}","\frac{x \tanh ^2(x)}{\sqrt{a \tanh ^4(x)}}-\frac{\tanh (x)}{\sqrt{a \tanh ^4(x)}}",1,"-(Tanh[x]/Sqrt[a*Tanh[x]^4]) + (x*Tanh[x]^2)/Sqrt[a*Tanh[x]^4]","A",3,3,10,0.3000,1,"{3658, 3473, 8}"
40,1,57,0,0.0393417,"\int \left(b \tanh ^m(c+d x)\right)^n \, dx","Int[(b*Tanh[c + d*x]^m)^n,x]","\frac{\tanh (c+d x) \left(b \tanh ^m(c+d x)\right)^n \, _2F_1\left(1,\frac{1}{2} (m n+1);\frac{1}{2} (m n+3);\tanh ^2(c+d x)\right)}{d (m n+1)}","\frac{\tanh (c+d x) \left(b \tanh ^m(c+d x)\right)^n \, _2F_1\left(1,\frac{1}{2} (m n+1);\frac{1}{2} (m n+3);\tanh ^2(c+d x)\right)}{d (m n+1)}",1,"(Hypergeometric2F1[1, (1 + m*n)/2, (3 + m*n)/2, Tanh[c + d*x]^2]*Tanh[c + d*x]*(b*Tanh[c + d*x]^m)^n)/(d*(1 + m*n))","A",3,3,12,0.2500,1,"{3659, 3476, 364}"
41,1,100,0,0.0719517,"\int (a+a \tanh (c+d x))^5 \, dx","Int[(a + a*Tanh[c + d*x])^5,x]","-\frac{8 a^5 \tanh (c+d x)}{d}-\frac{2 a^2 (a \tanh (c+d x)+a)^3}{3 d}-\frac{2 a \left(a^2 \tanh (c+d x)+a^2\right)^2}{d}+\frac{16 a^5 \log (\cosh (c+d x))}{d}+16 a^5 x-\frac{a (a \tanh (c+d x)+a)^4}{4 d}","-\frac{8 a^5 \tanh (c+d x)}{d}-\frac{2 a^2 (a \tanh (c+d x)+a)^3}{3 d}-\frac{2 a \left(a^2 \tanh (c+d x)+a^2\right)^2}{d}+\frac{16 a^5 \log (\cosh (c+d x))}{d}+16 a^5 x-\frac{a (a \tanh (c+d x)+a)^4}{4 d}",1,"16*a^5*x + (16*a^5*Log[Cosh[c + d*x]])/d - (8*a^5*Tanh[c + d*x])/d - (2*a^2*(a + a*Tanh[c + d*x])^3)/(3*d) - (a*(a + a*Tanh[c + d*x])^4)/(4*d) - (2*a*(a^2 + a^2*Tanh[c + d*x])^2)/d","A",5,3,12,0.2500,1,"{3478, 3477, 3475}"
42,1,77,0,0.0527818,"\int (a+a \tanh (c+d x))^4 \, dx","Int[(a + a*Tanh[c + d*x])^4,x]","-\frac{4 a^4 \tanh (c+d x)}{d}-\frac{\left(a^2 \tanh (c+d x)+a^2\right)^2}{d}+\frac{8 a^4 \log (\cosh (c+d x))}{d}+8 a^4 x-\frac{a (a \tanh (c+d x)+a)^3}{3 d}","-\frac{4 a^4 \tanh (c+d x)}{d}-\frac{\left(a^2 \tanh (c+d x)+a^2\right)^2}{d}+\frac{8 a^4 \log (\cosh (c+d x))}{d}+8 a^4 x-\frac{a (a \tanh (c+d x)+a)^3}{3 d}",1,"8*a^4*x + (8*a^4*Log[Cosh[c + d*x]])/d - (4*a^4*Tanh[c + d*x])/d - (a*(a + a*Tanh[c + d*x])^3)/(3*d) - (a^2 + a^2*Tanh[c + d*x])^2/d","A",4,3,12,0.2500,1,"{3478, 3477, 3475}"
43,1,56,0,0.0362516,"\int (a+a \tanh (c+d x))^3 \, dx","Int[(a + a*Tanh[c + d*x])^3,x]","-\frac{2 a^3 \tanh (c+d x)}{d}+\frac{4 a^3 \log (\cosh (c+d x))}{d}+4 a^3 x-\frac{a (a \tanh (c+d x)+a)^2}{2 d}","-\frac{2 a^3 \tanh (c+d x)}{d}+\frac{4 a^3 \log (\cosh (c+d x))}{d}+4 a^3 x-\frac{a (a \tanh (c+d x)+a)^2}{2 d}",1,"4*a^3*x + (4*a^3*Log[Cosh[c + d*x]])/d - (2*a^3*Tanh[c + d*x])/d - (a*(a + a*Tanh[c + d*x])^2)/(2*d)","A",3,3,12,0.2500,1,"{3478, 3477, 3475}"
44,1,36,0,0.0206018,"\int (a+a \tanh (c+d x))^2 \, dx","Int[(a + a*Tanh[c + d*x])^2,x]","-\frac{a^2 \tanh (c+d x)}{d}+\frac{2 a^2 \log (\cosh (c+d x))}{d}+2 a^2 x","-\frac{a^2 \tanh (c+d x)}{d}+\frac{2 a^2 \log (\cosh (c+d x))}{d}+2 a^2 x",1,"2*a^2*x + (2*a^2*Log[Cosh[c + d*x]])/d - (a^2*Tanh[c + d*x])/d","A",2,2,12,0.1667,1,"{3477, 3475}"
45,1,28,0,0.0128619,"\int \frac{1}{a+a \tanh (c+d x)} \, dx","Int[(a + a*Tanh[c + d*x])^(-1),x]","\frac{x}{2 a}-\frac{1}{2 d (a \tanh (c+d x)+a)}","\frac{x}{2 a}-\frac{1}{2 d (a \tanh (c+d x)+a)}",1,"x/(2*a) - 1/(2*d*(a + a*Tanh[c + d*x]))","A",2,2,12,0.1667,1,"{3479, 8}"
46,1,51,0,0.0275757,"\int \frac{1}{(a+a \tanh (c+d x))^2} \, dx","Int[(a + a*Tanh[c + d*x])^(-2),x]","-\frac{1}{4 d \left(a^2 \tanh (c+d x)+a^2\right)}+\frac{x}{4 a^2}-\frac{1}{4 d (a \tanh (c+d x)+a)^2}","-\frac{1}{4 d \left(a^2 \tanh (c+d x)+a^2\right)}+\frac{x}{4 a^2}-\frac{1}{4 d (a \tanh (c+d x)+a)^2}",1,"x/(4*a^2) - 1/(4*d*(a + a*Tanh[c + d*x])^2) - 1/(4*d*(a^2 + a^2*Tanh[c + d*x]))","A",3,2,12,0.1667,1,"{3479, 8}"
47,1,73,0,0.0441102,"\int \frac{1}{(a+a \tanh (c+d x))^3} \, dx","Int[(a + a*Tanh[c + d*x])^(-3),x]","-\frac{1}{8 d \left(a^3 \tanh (c+d x)+a^3\right)}+\frac{x}{8 a^3}-\frac{1}{8 a d (a \tanh (c+d x)+a)^2}-\frac{1}{6 d (a \tanh (c+d x)+a)^3}","-\frac{1}{8 d \left(a^3 \tanh (c+d x)+a^3\right)}+\frac{x}{8 a^3}-\frac{1}{8 a d (a \tanh (c+d x)+a)^2}-\frac{1}{6 d (a \tanh (c+d x)+a)^3}",1,"x/(8*a^3) - 1/(6*d*(a + a*Tanh[c + d*x])^3) - 1/(8*a*d*(a + a*Tanh[c + d*x])^2) - 1/(8*d*(a^3 + a^3*Tanh[c + d*x]))","A",4,2,12,0.1667,1,"{3479, 8}"
48,1,96,0,0.0621694,"\int \frac{1}{(a+a \tanh (c+d x))^4} \, dx","Int[(a + a*Tanh[c + d*x])^(-4),x]","-\frac{1}{16 d \left(a^4 \tanh (c+d x)+a^4\right)}-\frac{1}{16 d \left(a^2 \tanh (c+d x)+a^2\right)^2}+\frac{x}{16 a^4}-\frac{1}{12 a d (a \tanh (c+d x)+a)^3}-\frac{1}{8 d (a \tanh (c+d x)+a)^4}","-\frac{1}{16 d \left(a^4 \tanh (c+d x)+a^4\right)}-\frac{1}{16 d \left(a^2 \tanh (c+d x)+a^2\right)^2}+\frac{x}{16 a^4}-\frac{1}{12 a d (a \tanh (c+d x)+a)^3}-\frac{1}{8 d (a \tanh (c+d x)+a)^4}",1,"x/(16*a^4) - 1/(8*d*(a + a*Tanh[c + d*x])^4) - 1/(12*a*d*(a + a*Tanh[c + d*x])^3) - 1/(16*d*(a^2 + a^2*Tanh[c + d*x])^2) - 1/(16*d*(a^4 + a^4*Tanh[c + d*x]))","A",5,2,12,0.1667,1,"{3479, 8}"
49,1,121,0,0.082235,"\int \frac{1}{(a+a \tanh (c+d x))^5} \, dx","Int[(a + a*Tanh[c + d*x])^(-5),x]","-\frac{1}{32 d \left(a^5 \tanh (c+d x)+a^5\right)}-\frac{1}{32 a d \left(a^2 \tanh (c+d x)+a^2\right)^2}-\frac{1}{24 a^2 d (a \tanh (c+d x)+a)^3}+\frac{x}{32 a^5}-\frac{1}{16 a d (a \tanh (c+d x)+a)^4}-\frac{1}{10 d (a \tanh (c+d x)+a)^5}","-\frac{1}{32 d \left(a^5 \tanh (c+d x)+a^5\right)}-\frac{1}{32 a d \left(a^2 \tanh (c+d x)+a^2\right)^2}-\frac{1}{24 a^2 d (a \tanh (c+d x)+a)^3}+\frac{x}{32 a^5}-\frac{1}{16 a d (a \tanh (c+d x)+a)^4}-\frac{1}{10 d (a \tanh (c+d x)+a)^5}",1,"x/(32*a^5) - 1/(10*d*(a + a*Tanh[c + d*x])^5) - 1/(16*a*d*(a + a*Tanh[c + d*x])^4) - 1/(24*a^2*d*(a + a*Tanh[c + d*x])^3) - 1/(32*a*d*(a^2 + a^2*Tanh[c + d*x])^2) - 1/(32*d*(a^5 + a^5*Tanh[c + d*x]))","A",6,2,12,0.1667,1,"{3479, 8}"
50,1,57,0,0.0409798,"\int (1+\tanh (x))^{7/2} \, dx","Int[(1 + Tanh[x])^(7/2),x]","8 \sqrt{2} \tanh ^{-1}\left(\frac{\sqrt{\tanh (x)+1}}{\sqrt{2}}\right)-\frac{2}{5} (\tanh (x)+1)^{5/2}-\frac{4}{3} (\tanh (x)+1)^{3/2}-8 \sqrt{\tanh (x)+1}","8 \sqrt{2} \tanh ^{-1}\left(\frac{\sqrt{\tanh (x)+1}}{\sqrt{2}}\right)-\frac{2}{5} (\tanh (x)+1)^{5/2}-\frac{4}{3} (\tanh (x)+1)^{3/2}-8 \sqrt{\tanh (x)+1}",1,"8*Sqrt[2]*ArcTanh[Sqrt[1 + Tanh[x]]/Sqrt[2]] - 8*Sqrt[1 + Tanh[x]] - (4*(1 + Tanh[x])^(3/2))/3 - (2*(1 + Tanh[x])^(5/2))/5","A",5,3,8,0.3750,1,"{3478, 3480, 206}"
51,1,45,0,0.0308033,"\int (1+\tanh (x))^{5/2} \, dx","Int[(1 + Tanh[x])^(5/2),x]","4 \sqrt{2} \tanh ^{-1}\left(\frac{\sqrt{\tanh (x)+1}}{\sqrt{2}}\right)-\frac{2}{3} (\tanh (x)+1)^{3/2}-4 \sqrt{\tanh (x)+1}","4 \sqrt{2} \tanh ^{-1}\left(\frac{\sqrt{\tanh (x)+1}}{\sqrt{2}}\right)-\frac{2}{3} (\tanh (x)+1)^{3/2}-4 \sqrt{\tanh (x)+1}",1,"4*Sqrt[2]*ArcTanh[Sqrt[1 + Tanh[x]]/Sqrt[2]] - 4*Sqrt[1 + Tanh[x]] - (2*(1 + Tanh[x])^(3/2))/3","A",4,3,8,0.3750,1,"{3478, 3480, 206}"
52,1,33,0,0.0211645,"\int (1+\tanh (x))^{3/2} \, dx","Int[(1 + Tanh[x])^(3/2),x]","2 \sqrt{2} \tanh ^{-1}\left(\frac{\sqrt{\tanh (x)+1}}{\sqrt{2}}\right)-2 \sqrt{\tanh (x)+1}","2 \sqrt{2} \tanh ^{-1}\left(\frac{\sqrt{\tanh (x)+1}}{\sqrt{2}}\right)-2 \sqrt{\tanh (x)+1}",1,"2*Sqrt[2]*ArcTanh[Sqrt[1 + Tanh[x]]/Sqrt[2]] - 2*Sqrt[1 + Tanh[x]]","A",3,3,8,0.3750,1,"{3478, 3480, 206}"
53,1,21,0,0.0114613,"\int \sqrt{1+\tanh (x)} \, dx","Int[Sqrt[1 + Tanh[x]],x]","\sqrt{2} \tanh ^{-1}\left(\frac{\sqrt{\tanh (x)+1}}{\sqrt{2}}\right)","\sqrt{2} \tanh ^{-1}\left(\frac{\sqrt{\tanh (x)+1}}{\sqrt{2}}\right)",1,"Sqrt[2]*ArcTanh[Sqrt[1 + Tanh[x]]/Sqrt[2]]","A",2,2,8,0.2500,1,"{3480, 206}"
54,1,32,0,0.0227825,"\int \frac{1}{\sqrt{1+\tanh (x)}} \, dx","Int[1/Sqrt[1 + Tanh[x]],x]","\frac{\tanh ^{-1}\left(\frac{\sqrt{\tanh (x)+1}}{\sqrt{2}}\right)}{\sqrt{2}}-\frac{1}{\sqrt{\tanh (x)+1}}","\frac{\tanh ^{-1}\left(\frac{\sqrt{\tanh (x)+1}}{\sqrt{2}}\right)}{\sqrt{2}}-\frac{1}{\sqrt{\tanh (x)+1}}",1,"ArcTanh[Sqrt[1 + Tanh[x]]/Sqrt[2]]/Sqrt[2] - 1/Sqrt[1 + Tanh[x]]","A",3,3,8,0.3750,1,"{3479, 3480, 206}"
55,1,49,0,0.0307678,"\int \frac{1}{(1+\tanh (x))^{3/2}} \, dx","Int[(1 + Tanh[x])^(-3/2),x]","\frac{\tanh ^{-1}\left(\frac{\sqrt{\tanh (x)+1}}{\sqrt{2}}\right)}{2 \sqrt{2}}-\frac{1}{2 \sqrt{\tanh (x)+1}}-\frac{1}{3 (\tanh (x)+1)^{3/2}}","\frac{\tanh ^{-1}\left(\frac{\sqrt{\tanh (x)+1}}{\sqrt{2}}\right)}{2 \sqrt{2}}-\frac{1}{2 \sqrt{\tanh (x)+1}}-\frac{1}{3 (\tanh (x)+1)^{3/2}}",1,"ArcTanh[Sqrt[1 + Tanh[x]]/Sqrt[2]]/(2*Sqrt[2]) - 1/(3*(1 + Tanh[x])^(3/2)) - 1/(2*Sqrt[1 + Tanh[x]])","A",4,3,8,0.3750,1,"{3479, 3480, 206}"
56,1,61,0,0.0414043,"\int \frac{1}{(1+\tanh (x))^{5/2}} \, dx","Int[(1 + Tanh[x])^(-5/2),x]","\frac{\tanh ^{-1}\left(\frac{\sqrt{\tanh (x)+1}}{\sqrt{2}}\right)}{4 \sqrt{2}}-\frac{1}{4 \sqrt{\tanh (x)+1}}-\frac{1}{6 (\tanh (x)+1)^{3/2}}-\frac{1}{5 (\tanh (x)+1)^{5/2}}","\frac{\tanh ^{-1}\left(\frac{\sqrt{\tanh (x)+1}}{\sqrt{2}}\right)}{4 \sqrt{2}}-\frac{1}{4 \sqrt{\tanh (x)+1}}-\frac{1}{6 (\tanh (x)+1)^{3/2}}-\frac{1}{5 (\tanh (x)+1)^{5/2}}",1,"ArcTanh[Sqrt[1 + Tanh[x]]/Sqrt[2]]/(4*Sqrt[2]) - 1/(5*(1 + Tanh[x])^(5/2)) - 1/(6*(1 + Tanh[x])^(3/2)) - 1/(4*Sqrt[1 + Tanh[x]])","A",5,3,8,0.3750,1,"{3479, 3480, 206}"
57,1,142,0,0.2112939,"\int (a+b \tanh (c+d x))^5 \, dx","Int[(a + b*Tanh[c + d*x])^5,x]","-\frac{b \left(3 a^2+b^2\right) (a+b \tanh (c+d x))^2}{2 d}-\frac{4 a b^2 \left(a^2+b^2\right) \tanh (c+d x)}{d}+\frac{b \left(10 a^2 b^2+5 a^4+b^4\right) \log (\cosh (c+d x))}{d}+a x \left(10 a^2 b^2+a^4+5 b^4\right)-\frac{b (a+b \tanh (c+d x))^4}{4 d}-\frac{2 a b (a+b \tanh (c+d x))^3}{3 d}","-\frac{b \left(3 a^2+b^2\right) (a+b \tanh (c+d x))^2}{2 d}-\frac{4 a b^2 \left(a^2+b^2\right) \tanh (c+d x)}{d}+\frac{b \left(10 a^2 b^2+5 a^4+b^4\right) \log (\cosh (c+d x))}{d}+a x \left(10 a^2 b^2+a^4+5 b^4\right)-\frac{b (a+b \tanh (c+d x))^4}{4 d}-\frac{2 a b (a+b \tanh (c+d x))^3}{3 d}",1,"a*(a^4 + 10*a^2*b^2 + 5*b^4)*x + (b*(5*a^4 + 10*a^2*b^2 + b^4)*Log[Cosh[c + d*x]])/d - (4*a*b^2*(a^2 + b^2)*Tanh[c + d*x])/d - (b*(3*a^2 + b^2)*(a + b*Tanh[c + d*x])^2)/(2*d) - (2*a*b*(a + b*Tanh[c + d*x])^3)/(3*d) - (b*(a + b*Tanh[c + d*x])^4)/(4*d)","A",5,4,12,0.3333,1,"{3482, 3528, 3525, 3475}"
58,1,101,0,0.1242119,"\int (a+b \tanh (c+d x))^4 \, dx","Int[(a + b*Tanh[c + d*x])^4,x]","-\frac{b^2 \left(3 a^2+b^2\right) \tanh (c+d x)}{d}+\frac{4 a b \left(a^2+b^2\right) \log (\cosh (c+d x))}{d}+x \left(6 a^2 b^2+a^4+b^4\right)-\frac{b (a+b \tanh (c+d x))^3}{3 d}-\frac{a b (a+b \tanh (c+d x))^2}{d}","-\frac{b^2 \left(3 a^2+b^2\right) \tanh (c+d x)}{d}+\frac{4 a b \left(a^2+b^2\right) \log (\cosh (c+d x))}{d}+x \left(6 a^2 b^2+a^4+b^4\right)-\frac{b (a+b \tanh (c+d x))^3}{3 d}-\frac{a b (a+b \tanh (c+d x))^2}{d}",1,"(a^4 + 6*a^2*b^2 + b^4)*x + (4*a*b*(a^2 + b^2)*Log[Cosh[c + d*x]])/d - (b^2*(3*a^2 + b^2)*Tanh[c + d*x])/d - (a*b*(a + b*Tanh[c + d*x])^2)/d - (b*(a + b*Tanh[c + d*x])^3)/(3*d)","A",4,4,12,0.3333,1,"{3482, 3528, 3525, 3475}"
59,1,69,0,0.0645049,"\int (a+b \tanh (c+d x))^3 \, dx","Int[(a + b*Tanh[c + d*x])^3,x]","\frac{b \left(3 a^2+b^2\right) \log (\cosh (c+d x))}{d}+a x \left(a^2+3 b^2\right)-\frac{2 a b^2 \tanh (c+d x)}{d}-\frac{b (a+b \tanh (c+d x))^2}{2 d}","\frac{b \left(3 a^2+b^2\right) \log (\cosh (c+d x))}{d}+a x \left(a^2+3 b^2\right)-\frac{2 a b^2 \tanh (c+d x)}{d}-\frac{b (a+b \tanh (c+d x))^2}{2 d}",1,"a*(a^2 + 3*b^2)*x + (b*(3*a^2 + b^2)*Log[Cosh[c + d*x]])/d - (2*a*b^2*Tanh[c + d*x])/d - (b*(a + b*Tanh[c + d*x])^2)/(2*d)","A",3,3,12,0.2500,1,"{3482, 3525, 3475}"
60,1,38,0,0.0226947,"\int (a+b \tanh (c+d x))^2 \, dx","Int[(a + b*Tanh[c + d*x])^2,x]","x \left(a^2+b^2\right)+\frac{2 a b \log (\cosh (c+d x))}{d}-\frac{b^2 \tanh (c+d x)}{d}","x \left(a^2+b^2\right)+\frac{2 a b \log (\cosh (c+d x))}{d}-\frac{b^2 \tanh (c+d x)}{d}",1,"(a^2 + b^2)*x + (2*a*b*Log[Cosh[c + d*x]])/d - (b^2*Tanh[c + d*x])/d","A",2,2,12,0.1667,1,"{3477, 3475}"
61,1,50,0,0.0538593,"\int \frac{1}{a+b \tanh (c+d x)} \, dx","Int[(a + b*Tanh[c + d*x])^(-1),x]","\frac{a x}{a^2-b^2}-\frac{b \log (a \cosh (c+d x)+b \sinh (c+d x))}{d \left(a^2-b^2\right)}","\frac{a x}{a^2-b^2}-\frac{b \log (a \cosh (c+d x)+b \sinh (c+d x))}{d \left(a^2-b^2\right)}",1,"(a*x)/(a^2 - b^2) - (b*Log[a*Cosh[c + d*x] + b*Sinh[c + d*x]])/((a^2 - b^2)*d)","A",2,2,12,0.1667,1,"{3484, 3530}"
62,1,85,0,0.0903209,"\int \frac{1}{(a+b \tanh (c+d x))^2} \, dx","Int[(a + b*Tanh[c + d*x])^(-2),x]","\frac{b}{d \left(a^2-b^2\right) (a+b \tanh (c+d x))}-\frac{2 a b \log (a \cosh (c+d x)+b \sinh (c+d x))}{d \left(a^2-b^2\right)^2}+\frac{x \left(a^2+b^2\right)}{\left(a^2-b^2\right)^2}","\frac{b}{d \left(a^2-b^2\right) (a+b \tanh (c+d x))}-\frac{2 a b \log (a \cosh (c+d x)+b \sinh (c+d x))}{d \left(a^2-b^2\right)^2}+\frac{x \left(a^2+b^2\right)}{\left(a^2-b^2\right)^2}",1,"((a^2 + b^2)*x)/(a^2 - b^2)^2 - (2*a*b*Log[a*Cosh[c + d*x] + b*Sinh[c + d*x]])/((a^2 - b^2)^2*d) + b/((a^2 - b^2)*d*(a + b*Tanh[c + d*x]))","A",3,3,12,0.2500,1,"{3483, 3531, 3530}"
63,1,129,0,0.177583,"\int \frac{1}{(a+b \tanh (c+d x))^3} \, dx","Int[(a + b*Tanh[c + d*x])^(-3),x]","\frac{2 a b}{d \left(a^2-b^2\right)^2 (a+b \tanh (c+d x))}+\frac{b}{2 d \left(a^2-b^2\right) (a+b \tanh (c+d x))^2}-\frac{b \left(3 a^2+b^2\right) \log (a \cosh (c+d x)+b \sinh (c+d x))}{d \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}{d \left(a^2-b^2\right)^2 (a+b \tanh (c+d x))}+\frac{b}{2 d \left(a^2-b^2\right) (a+b \tanh (c+d x))^2}-\frac{b \left(3 a^2+b^2\right) \log (a \cosh (c+d x)+b \sinh (c+d x))}{d \left(a^2-b^2\right)^3}+\frac{a x \left(a^2+3 b^2\right)}{\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[c + d*x] + b*Sinh[c + d*x]])/((a^2 - b^2)^3*d) + b/(2*(a^2 - b^2)*d*(a + b*Tanh[c + d*x])^2) + (2*a*b)/((a^2 - b^2)^2*d*(a + b*Tanh[c + d*x]))","A",4,4,12,0.3333,1,"{3483, 3529, 3531, 3530}"
64,1,169,0,0.2689283,"\int \frac{1}{(a+b \tanh (c+d x))^4} \, dx","Int[(a + b*Tanh[c + d*x])^(-4),x]","\frac{b \left(3 a^2+b^2\right)}{d \left(a^2-b^2\right)^3 (a+b \tanh (c+d x))}+\frac{a b}{d \left(a^2-b^2\right)^2 (a+b \tanh (c+d x))^2}+\frac{b}{3 d \left(a^2-b^2\right) (a+b \tanh (c+d x))^3}-\frac{4 a b \left(a^2+b^2\right) \log (a \cosh (c+d x)+b \sinh (c+d x))}{d \left(a^2-b^2\right)^4}+\frac{x \left(6 a^2 b^2+a^4+b^4\right)}{\left(a^2-b^2\right)^4}","\frac{b \left(3 a^2+b^2\right)}{d \left(a^2-b^2\right)^3 (a+b \tanh (c+d x))}+\frac{a b}{d \left(a^2-b^2\right)^2 (a+b \tanh (c+d x))^2}+\frac{b}{3 d \left(a^2-b^2\right) (a+b \tanh (c+d x))^3}-\frac{4 a b \left(a^2+b^2\right) \log (a \cosh (c+d x)+b \sinh (c+d x))}{d \left(a^2-b^2\right)^4}+\frac{x \left(6 a^2 b^2+a^4+b^4\right)}{\left(a^2-b^2\right)^4}",1,"((a^4 + 6*a^2*b^2 + b^4)*x)/(a^2 - b^2)^4 - (4*a*b*(a^2 + b^2)*Log[a*Cosh[c + d*x] + b*Sinh[c + d*x]])/((a^2 - b^2)^4*d) + b/(3*(a^2 - b^2)*d*(a + b*Tanh[c + d*x])^3) + (a*b)/((a^2 - b^2)^2*d*(a + b*Tanh[c + d*x])^2) + (b*(3*a^2 + b^2))/((a^2 - b^2)^3*d*(a + b*Tanh[c + d*x]))","A",5,4,12,0.3333,1,"{3483, 3529, 3531, 3530}"
65,1,31,0,0.0440098,"\int \frac{1}{4+6 \tanh (c+d x)} \, dx","Int[(4 + 6*Tanh[c + d*x])^(-1),x]","\frac{3 \log (3 \sinh (c+d x)+2 \cosh (c+d x))}{10 d}-\frac{x}{5}","\frac{3 \log (3 \sinh (c+d x)+2 \cosh (c+d x))}{10 d}-\frac{x}{5}",1,"-x/5 + (3*Log[2*Cosh[c + d*x] + 3*Sinh[c + d*x]])/(10*d)","A",2,2,12,0.1667,1,"{3484, 3530}"
66,1,31,0,0.0422853,"\int \frac{1}{4-6 \tanh (c+d x)} \, dx","Int[(4 - 6*Tanh[c + d*x])^(-1),x]","-\frac{3 \log (2 \cosh (c+d x)-3 \sinh (c+d x))}{10 d}-\frac{x}{5}","-\frac{3 \log (2 \cosh (c+d x)-3 \sinh (c+d x))}{10 d}-\frac{x}{5}",1,"-x/5 - (3*Log[2*Cosh[c + d*x] - 3*Sinh[c + d*x]])/(10*d)","A",2,2,12,0.1667,1,"{3484, 3530}"
67,1,74,0,0.0723861,"\int \sqrt{a+b \tanh (c+d x)} \, dx","Int[Sqrt[a + b*Tanh[c + d*x]],x]","\frac{\sqrt{a+b} \tanh ^{-1}\left(\frac{\sqrt{a+b \tanh (c+d x)}}{\sqrt{a+b}}\right)}{d}-\frac{\sqrt{a-b} \tanh ^{-1}\left(\frac{\sqrt{a+b \tanh (c+d x)}}{\sqrt{a-b}}\right)}{d}","\frac{\sqrt{a+b} \tanh ^{-1}\left(\frac{\sqrt{a+b \tanh (c+d x)}}{\sqrt{a+b}}\right)}{d}-\frac{\sqrt{a-b} \tanh ^{-1}\left(\frac{\sqrt{a+b \tanh (c+d x)}}{\sqrt{a-b}}\right)}{d}",1,"-((Sqrt[a - b]*ArcTanh[Sqrt[a + b*Tanh[c + d*x]]/Sqrt[a - b]])/d) + (Sqrt[a + b]*ArcTanh[Sqrt[a + b*Tanh[c + d*x]]/Sqrt[a + b]])/d","A",5,4,14,0.2857,1,"{3485, 700, 1130, 207}"
68,1,74,0,0.0686009,"\int \frac{1}{\sqrt{a+b \tanh (c+d x)}} \, dx","Int[1/Sqrt[a + b*Tanh[c + d*x]],x]","\frac{\tanh ^{-1}\left(\frac{\sqrt{a+b \tanh (c+d x)}}{\sqrt{a+b}}\right)}{d \sqrt{a+b}}-\frac{\tanh ^{-1}\left(\frac{\sqrt{a+b \tanh (c+d x)}}{\sqrt{a-b}}\right)}{d \sqrt{a-b}}","\frac{\tanh ^{-1}\left(\frac{\sqrt{a+b \tanh (c+d x)}}{\sqrt{a+b}}\right)}{d \sqrt{a+b}}-\frac{\tanh ^{-1}\left(\frac{\sqrt{a+b \tanh (c+d x)}}{\sqrt{a-b}}\right)}{d \sqrt{a-b}}",1,"-(ArcTanh[Sqrt[a + b*Tanh[c + d*x]]/Sqrt[a - b]]/(Sqrt[a - b]*d)) + ArcTanh[Sqrt[a + b*Tanh[c + d*x]]/Sqrt[a + b]]/(Sqrt[a + b]*d)","A",5,4,14,0.2857,1,"{3485, 708, 1093, 207}"
69,1,60,0,0.0724269,"\int \frac{\sinh ^4(x)}{1+\tanh (x)} \, dx","Int[Sinh[x]^4/(1 + Tanh[x]),x]","\frac{x}{16}-\frac{1}{8 (1-\tanh (x))}-\frac{3}{16 (\tanh (x)+1)}+\frac{1}{32 (1-\tanh (x))^2}+\frac{5}{32 (\tanh (x)+1)^2}-\frac{1}{24 (\tanh (x)+1)^3}","\frac{x}{16}-\frac{1}{8 (1-\tanh (x))}-\frac{3}{16 (\tanh (x)+1)}+\frac{1}{32 (1-\tanh (x))^2}+\frac{5}{32 (\tanh (x)+1)^2}-\frac{1}{24 (\tanh (x)+1)^3}",1,"x/16 + 1/(32*(1 - Tanh[x])^2) - 1/(8*(1 - Tanh[x])) - 1/(24*(1 + Tanh[x])^3) + 5/(32*(1 + Tanh[x])^2) - 3/(16*(1 + Tanh[x]))","A",5,4,11,0.3636,1,"{3516, 848, 88, 207}"
70,1,25,0,0.1667705,"\int \frac{\sinh ^3(x)}{1+\tanh (x)} \, dx","Int[Sinh[x]^3/(1 + Tanh[x]),x]","-\frac{\sinh ^5(x)}{5}+\frac{\cosh ^5(x)}{5}-\frac{\cosh ^3(x)}{3}","-\frac{\sinh ^5(x)}{5}+\frac{\cosh ^5(x)}{5}-\frac{\cosh ^3(x)}{3}",1,"-Cosh[x]^3/3 + Cosh[x]^5/5 - Sinh[x]^5/5","A",9,7,11,0.6364,1,"{3518, 3108, 3107, 2565, 14, 2564, 30}"
71,1,38,0,0.0587289,"\int \frac{\sinh ^2(x)}{1+\tanh (x)} \, dx","Int[Sinh[x]^2/(1 + Tanh[x]),x]","-\frac{x}{8}+\frac{1}{8 (1-\tanh (x))}+\frac{1}{4 (\tanh (x)+1)}-\frac{1}{8 (\tanh (x)+1)^2}","-\frac{x}{8}+\frac{1}{8 (1-\tanh (x))}+\frac{1}{4 (\tanh (x)+1)}-\frac{1}{8 (\tanh (x)+1)^2}",1,"-x/8 + 1/(8*(1 - Tanh[x])) - 1/(8*(1 + Tanh[x])^2) + 1/(4*(1 + Tanh[x]))","A",5,4,11,0.3636,1,"{3516, 848, 88, 207}"
72,1,17,0,0.1107522,"\int \frac{\sinh (x)}{1+\tanh (x)} \, dx","Int[Sinh[x]/(1 + Tanh[x]),x]","\frac{\cosh ^3(x)}{3}-\frac{\sinh ^3(x)}{3}","\frac{\cosh ^3(x)}{3}-\frac{\sinh ^3(x)}{3}",1,"Cosh[x]^3/3 - Sinh[x]^3/3","A",8,6,9,0.6667,1,"{3518, 3108, 3107, 2565, 30, 2564}"
73,1,12,0,0.1098496,"\int \frac{\text{csch}(x)}{1+\tanh (x)} \, dx","Int[Csch[x]/(1 + Tanh[x]),x]","-\sinh (x)+\cosh (x)-\tanh ^{-1}(\cosh (x))","-\sinh (x)+\cosh (x)-\tanh ^{-1}(\cosh (x))",1,"-ArcTanh[Cosh[x]] + Cosh[x] - Sinh[x]","A",8,7,9,0.7778,1,"{3518, 3108, 3107, 2637, 2592, 321, 206}"
74,1,15,0,0.0388343,"\int \frac{\text{csch}^2(x)}{1+\tanh (x)} \, dx","Int[Csch[x]^2/(1 + Tanh[x]),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",3,2,11,0.1818,1,"{3516, 44}"
75,1,18,0,0.1605988,"\int \frac{\text{csch}^3(x)}{1+\tanh (x)} \, dx","Int[Csch[x]^3/(1 + Tanh[x]),x]","\text{csch}(x)-\frac{1}{2} \tanh ^{-1}(\cosh (x))-\frac{1}{2} \coth (x) \text{csch}(x)","\text{csch}(x)-\frac{1}{2} \tanh ^{-1}(\cosh (x))-\frac{1}{2} \coth (x) \text{csch}(x)",1,"-ArcTanh[Cosh[x]]/2 + Csch[x] - (Coth[x]*Csch[x])/2","A",8,7,11,0.6364,1,"{3518, 3108, 3107, 2606, 8, 2611, 3770}"
76,1,17,0,0.044374,"\int \frac{\text{csch}^4(x)}{1+\tanh (x)} \, dx","Int[Csch[x]^4/(1 + Tanh[x]),x]","\frac{\coth ^2(x)}{2}-\frac{\coth ^3(x)}{3}","\frac{\coth ^2(x)}{2}-\frac{\coth ^3(x)}{3}",1,"Coth[x]^2/2 - Coth[x]^3/3","A",4,3,11,0.2727,1,"{3516, 848, 43}"
77,1,34,0,0.1915373,"\int \frac{\text{csch}^5(x)}{1+\tanh (x)} \, dx","Int[Csch[x]^5/(1 + Tanh[x]),x]","\frac{\text{csch}^3(x)}{3}+\frac{1}{8} \tanh ^{-1}(\cosh (x))-\frac{1}{4} \coth (x) \text{csch}^3(x)-\frac{1}{8} \coth (x) \text{csch}(x)","\frac{\text{csch}^3(x)}{3}+\frac{1}{8} \tanh ^{-1}(\cosh (x))-\frac{1}{4} \coth (x) \text{csch}^3(x)-\frac{1}{8} \coth (x) \text{csch}(x)",1,"ArcTanh[Cosh[x]]/8 - (Coth[x]*Csch[x])/8 + Csch[x]^3/3 - (Coth[x]*Csch[x]^3)/4","A",9,8,11,0.7273,1,"{3518, 3108, 3107, 2606, 30, 2611, 3768, 3770}"
78,1,33,0,0.0536724,"\int \frac{\text{csch}^6(x)}{1+\tanh (x)} \, dx","Int[Csch[x]^6/(1 + Tanh[x]),x]","-\frac{1}{5} \coth ^5(x)+\frac{\coth ^4(x)}{4}+\frac{\coth ^3(x)}{3}-\frac{\coth ^2(x)}{2}","-\frac{1}{5} \coth ^5(x)+\frac{\coth ^4(x)}{4}+\frac{\coth ^3(x)}{3}-\frac{\coth ^2(x)}{2}",1,"-Coth[x]^2/2 + Coth[x]^3/3 + Coth[x]^4/4 - Coth[x]^5/5","A",4,3,11,0.2727,1,"{3516, 848, 75}"
79,1,44,0,0.2106086,"\int \frac{\text{csch}^7(x)}{1+\tanh (x)} \, dx","Int[Csch[x]^7/(1 + Tanh[x]),x]","\frac{\text{csch}^5(x)}{5}-\frac{1}{16} \tanh ^{-1}(\cosh (x))-\frac{1}{6} \coth (x) \text{csch}^5(x)-\frac{1}{24} \coth (x) \text{csch}^3(x)+\frac{1}{16} \coth (x) \text{csch}(x)","\frac{\text{csch}^5(x)}{5}-\frac{1}{16} \tanh ^{-1}(\cosh (x))-\frac{1}{6} \coth (x) \text{csch}^5(x)-\frac{1}{24} \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)/24 + Csch[x]^5/5 - (Coth[x]*Csch[x]^5)/6","A",10,8,11,0.7273,1,"{3518, 3108, 3107, 2606, 30, 2611, 3768, 3770}"
80,1,147,0,0.3455822,"\int \frac{\sinh ^4(x)}{a+b \tanh (x)} \, dx","Int[Sinh[x]^4/(a + b*Tanh[x]),x]","-\frac{a^4 b \log (a+b \tanh (x))}{\left(a^2-b^2\right)^3}-\frac{\cosh ^4(x) (b-a \tanh (x))}{4 \left(a^2-b^2\right)}+\frac{\cosh ^2(x) \left(4 b \left(2 a^2-b^2\right)-a \left(5 a^2-b^2\right) \tanh (x)\right)}{8 \left(a^2-b^2\right)^2}-\frac{a (3 a+b) \log (1-\tanh (x))}{16 (a+b)^3}+\frac{a (3 a-b) \log (\tanh (x)+1)}{16 (a-b)^3}","-\frac{a^4 b \log (a+b \tanh (x))}{\left(a^2-b^2\right)^3}-\frac{\cosh ^4(x) (b-a \tanh (x))}{4 \left(a^2-b^2\right)}+\frac{\cosh ^2(x) \left(4 b \left(2 a^2-b^2\right)-a \left(5 a^2-b^2\right) \tanh (x)\right)}{8 \left(a^2-b^2\right)^2}-\frac{a (3 a+b) \log (1-\tanh (x))}{16 (a+b)^3}+\frac{a (3 a-b) \log (\tanh (x)+1)}{16 (a-b)^3}",1,"-(a*(3*a + b)*Log[1 - Tanh[x]])/(16*(a + b)^3) + (a*(3*a - b)*Log[1 + Tanh[x]])/(16*(a - b)^3) - (a^4*b*Log[a + b*Tanh[x]])/(a^2 - b^2)^3 - (Cosh[x]^4*(b - a*Tanh[x]))/(4*(a^2 - b^2)) + (Cosh[x]^2*(4*b*(2*a^2 - b^2) - a*(5*a^2 - b^2)*Tanh[x]))/(8*(a^2 - b^2)^2)","A",5,3,13,0.2308,1,"{3516, 1647, 801}"
81,1,137,0,0.2787734,"\int \frac{\sinh ^3(x)}{a+b \tanh (x)} \, dx","Int[Sinh[x]^3/(a + b*Tanh[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",10,9,13,0.6923,1,"{3518, 3109, 2564, 30, 2633, 3099, 3074, 206, 2638}"
82,1,84,0,0.1617911,"\int \frac{\sinh ^2(x)}{a+b \tanh (x)} \, dx","Int[Sinh[x]^2/(a + b*Tanh[x]),x]","\frac{a^2 b \log (a+b \tanh (x))}{\left(a^2-b^2\right)^2}-\frac{\cosh ^2(x) (b-a \tanh (x))}{2 \left(a^2-b^2\right)}+\frac{a \log (1-\tanh (x))}{4 (a+b)^2}-\frac{a \log (\tanh (x)+1)}{4 (a-b)^2}","\frac{a^2 b \log (a+b \tanh (x))}{\left(a^2-b^2\right)^2}-\frac{\cosh ^2(x) (b-a \tanh (x))}{2 \left(a^2-b^2\right)}+\frac{a \log (1-\tanh (x))}{4 (a+b)^2}-\frac{a \log (\tanh (x)+1)}{4 (a-b)^2}",1,"(a*Log[1 - Tanh[x]])/(4*(a + b)^2) - (a*Log[1 + Tanh[x]])/(4*(a - b)^2) + (a^2*b*Log[a + b*Tanh[x]])/(a^2 - b^2)^2 - (Cosh[x]^2*(b - a*Tanh[x]))/(2*(a^2 - b^2))","A",4,3,13,0.2308,1,"{3516, 1647, 801}"
83,1,72,0,0.1164334,"\int \frac{\sinh (x)}{a+b \tanh (x)} \, dx","Int[Sinh[x]/(a + b*Tanh[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",6,6,11,0.5455,1,"{3518, 3109, 2637, 2638, 3074, 206}"
84,1,52,0,0.1428761,"\int \frac{\text{csch}(x)}{a+b \tanh (x)} \, dx","Int[Csch[x]/(a + b*Tanh[x]),x]","-\frac{b \tan ^{-1}\left(\frac{a \sinh (x)+b \cosh (x)}{\sqrt{a^2-b^2}}\right)}{a \sqrt{a^2-b^2}}-\frac{\tanh ^{-1}(\cosh (x))}{a}","-\frac{b \tan ^{-1}\left(\frac{a \sinh (x)+b \cosh (x)}{\sqrt{a^2-b^2}}\right)}{a \sqrt{a^2-b^2}}-\frac{\tanh ^{-1}(\cosh (x))}{a}",1,"-((b*ArcTan[(b*Cosh[x] + a*Sinh[x])/Sqrt[a^2 - b^2]])/(a*Sqrt[a^2 - b^2])) - ArcTanh[Cosh[x]]/a","A",6,5,11,0.4545,1,"{3518, 3110, 3770, 3074, 206}"
85,1,29,0,0.0541423,"\int \frac{\text{csch}^2(x)}{a+b \tanh (x)} \, dx","Int[Csch[x]^2/(a + b*Tanh[x]),x]","-\frac{b \log (\tanh (x))}{a^2}+\frac{b \log (a+b \tanh (x))}{a^2}-\frac{\coth (x)}{a}","-\frac{b \log (\tanh (x))}{a^2}+\frac{b \log (a+b \tanh (x))}{a^2}-\frac{\coth (x)}{a}",1,"-(Coth[x]/a) - (b*Log[Tanh[x]])/a^2 + (b*Log[a + b*Tanh[x]])/a^2","A",3,2,13,0.1538,1,"{3516, 44}"
86,1,82,0,0.2932247,"\int \frac{\text{csch}^3(x)}{a+b \tanh (x)} \, dx","Int[Csch[x]^3/(a + b*Tanh[x]),x]","-\frac{b^2 \tanh ^{-1}(\cosh (x))}{a^3}+\frac{b \sqrt{a^2-b^2} \tan ^{-1}\left(\frac{a \sinh (x)+b \cosh (x)}{\sqrt{a^2-b^2}}\right)}{a^3}+\frac{b \text{csch}(x)}{a^2}+\frac{\tanh ^{-1}(\cosh (x))}{2 a}-\frac{\coth (x) \text{csch}(x)}{2 a}","-\frac{b^2 \tanh ^{-1}(\cosh (x))}{a^3}+\frac{b \sqrt{a^2-b^2} \tan ^{-1}\left(\frac{a \sinh (x)+b \cosh (x)}{\sqrt{a^2-b^2}}\right)}{a^3}+\frac{b \text{csch}(x)}{a^2}+\frac{\tanh ^{-1}(\cosh (x))}{2 a}-\frac{\coth (x) \text{csch}(x)}{2 a}",1,"(b*Sqrt[a^2 - b^2]*ArcTan[(b*Cosh[x] + a*Sinh[x])/Sqrt[a^2 - b^2]])/a^3 + ArcTanh[Cosh[x]]/(2*a) - (b^2*ArcTanh[Cosh[x]])/a^3 + (b*Csch[x])/a^2 - (Coth[x]*Csch[x])/(2*a)","A",15,11,13,0.8462,1,"{3518, 3110, 3768, 3770, 2621, 321, 207, 2622, 3104, 3074, 206}"
87,1,78,0,0.0997105,"\int \frac{\text{csch}^4(x)}{a+b \tanh (x)} \, dx","Int[Csch[x]^4/(a + b*Tanh[x]),x]","\frac{\left(a^2-b^2\right) \coth (x)}{a^3}+\frac{b \left(a^2-b^2\right) \log (\tanh (x))}{a^4}-\frac{b \left(a^2-b^2\right) \log (a+b \tanh (x))}{a^4}+\frac{b \coth ^2(x)}{2 a^2}-\frac{\coth ^3(x)}{3 a}","\frac{\left(a^2-b^2\right) \coth (x)}{a^3}+\frac{b \left(a^2-b^2\right) \log (\tanh (x))}{a^4}-\frac{b \left(a^2-b^2\right) \log (a+b \tanh (x))}{a^4}+\frac{b \coth ^2(x)}{2 a^2}-\frac{\coth ^3(x)}{3 a}",1,"((a^2 - b^2)*Coth[x])/a^3 + (b*Coth[x]^2)/(2*a^2) - Coth[x]^3/(3*a) + (b*(a^2 - b^2)*Log[Tanh[x]])/a^4 - (b*(a^2 - b^2)*Log[a + b*Tanh[x]])/a^4","A",3,2,13,0.1538,1,"{3516, 894}"
88,1,255,0,0.547651,"\int \frac{\text{csch}^5(x)}{a+b \tanh (x)} \, dx","Int[Csch[x]^5/(a + b*Tanh[x]),x]","\frac{3 b^3 \text{csch}(x)}{2 a^4}+\frac{b^4 \text{sech}(x)}{a^5}+\frac{b^2 \left(a^2-b^2\right) \text{sech}(x)}{a^5}-\frac{3 b^2 \text{sech}(x)}{2 a^3}+\frac{b^3 \tan ^{-1}(\sinh (x))}{a^4}+\frac{b \left(a^2-b^2\right) \tan ^{-1}(\sinh (x))}{a^4}-\frac{b^4 \tanh ^{-1}(\cosh (x))}{a^5}+\frac{3 b^2 \tanh ^{-1}(\cosh (x))}{2 a^3}-\frac{b^2 \text{csch}^2(x) \text{sech}(x)}{2 a^3}-\frac{b^3 \text{csch}(x) \text{sech}^2(x)}{2 a^4}-\frac{b^3 \tanh (x) \text{sech}(x)}{2 a^4}-\frac{b \left(a^2-b^2\right)^{3/2} \tan ^{-1}\left(\frac{a \sinh (x)+b \cosh (x)}{\sqrt{a^2-b^2}}\right)}{a^5}+\frac{b \text{csch}^3(x)}{3 a^2}-\frac{b \text{csch}(x)}{a^2}-\frac{b \tan ^{-1}(\sinh (x))}{a^2}-\frac{3 \tanh ^{-1}(\cosh (x))}{8 a}-\frac{\coth (x) \text{csch}^3(x)}{4 a}+\frac{3 \coth (x) \text{csch}(x)}{8 a}","\frac{3 b^3 \text{csch}(x)}{2 a^4}+\frac{b^4 \text{sech}(x)}{a^5}+\frac{b^2 \left(a^2-b^2\right) \text{sech}(x)}{a^5}-\frac{3 b^2 \text{sech}(x)}{2 a^3}+\frac{b^3 \tan ^{-1}(\sinh (x))}{a^4}+\frac{b \left(a^2-b^2\right) \tan ^{-1}(\sinh (x))}{a^4}-\frac{b^4 \tanh ^{-1}(\cosh (x))}{a^5}+\frac{3 b^2 \tanh ^{-1}(\cosh (x))}{2 a^3}-\frac{b^2 \text{csch}^2(x) \text{sech}(x)}{2 a^3}-\frac{b^3 \text{csch}(x) \text{sech}^2(x)}{2 a^4}-\frac{b^3 \tanh (x) \text{sech}(x)}{2 a^4}-\frac{b \left(a^2-b^2\right)^{3/2} \tan ^{-1}\left(\frac{a \sinh (x)+b \cosh (x)}{\sqrt{a^2-b^2}}\right)}{a^5}+\frac{b \text{csch}^3(x)}{3 a^2}-\frac{b \text{csch}(x)}{a^2}-\frac{b \tan ^{-1}(\sinh (x))}{a^2}-\frac{3 \tanh ^{-1}(\cosh (x))}{8 a}-\frac{\coth (x) \text{csch}^3(x)}{4 a}+\frac{3 \coth (x) \text{csch}(x)}{8 a}",1,"-((b*ArcTan[Sinh[x]])/a^2) + (b^3*ArcTan[Sinh[x]])/a^4 + (b*(a^2 - b^2)*ArcTan[Sinh[x]])/a^4 - (b*(a^2 - b^2)^(3/2)*ArcTan[(b*Cosh[x] + a*Sinh[x])/Sqrt[a^2 - b^2]])/a^5 - (3*ArcTanh[Cosh[x]])/(8*a) + (3*b^2*ArcTanh[Cosh[x]])/(2*a^3) - (b^4*ArcTanh[Cosh[x]])/a^5 - (b*Csch[x])/a^2 + (3*b^3*Csch[x])/(2*a^4) + (3*Coth[x]*Csch[x])/(8*a) + (b*Csch[x]^3)/(3*a^2) - (Coth[x]*Csch[x]^3)/(4*a) - (3*b^2*Sech[x])/(2*a^3) + (b^4*Sech[x])/a^5 + (b^2*(a^2 - b^2)*Sech[x])/a^5 - (b^2*Csch[x]^2*Sech[x])/(2*a^3) - (b^3*Csch[x]*Sech[x]^2)/(2*a^4) - (b^3*Sech[x]*Tanh[x])/(2*a^4)","A",29,13,13,1.000,1,"{3518, 3110, 3768, 3770, 2621, 302, 207, 2622, 288, 321, 3104, 3074, 206}"
89,1,130,0,0.1544665,"\int \frac{\text{csch}^6(x)}{a+b \tanh (x)} \, dx","Int[Csch[x]^6/(a + b*Tanh[x]),x]","\frac{\left(2 a^2-b^2\right) \coth ^3(x)}{3 a^3}-\frac{b \left(2 a^2-b^2\right) \coth ^2(x)}{2 a^4}-\frac{\left(a^2-b^2\right)^2 \coth (x)}{a^5}-\frac{b \left(a^2-b^2\right)^2 \log (\tanh (x))}{a^6}+\frac{b \left(a^2-b^2\right)^2 \log (a+b \tanh (x))}{a^6}+\frac{b \coth ^4(x)}{4 a^2}-\frac{\coth ^5(x)}{5 a}","\frac{\left(2 a^2-b^2\right) \coth ^3(x)}{3 a^3}-\frac{b \left(2 a^2-b^2\right) \coth ^2(x)}{2 a^4}-\frac{\left(a^2-b^2\right)^2 \coth (x)}{a^5}-\frac{b \left(a^2-b^2\right)^2 \log (\tanh (x))}{a^6}+\frac{b \left(a^2-b^2\right)^2 \log (a+b \tanh (x))}{a^6}+\frac{b \coth ^4(x)}{4 a^2}-\frac{\coth ^5(x)}{5 a}",1,"-(((a^2 - b^2)^2*Coth[x])/a^5) - (b*(2*a^2 - b^2)*Coth[x]^2)/(2*a^4) + ((2*a^2 - b^2)*Coth[x]^3)/(3*a^3) + (b*Coth[x]^4)/(4*a^2) - Coth[x]^5/(5*a) - (b*(a^2 - b^2)^2*Log[Tanh[x]])/a^6 + (b*(a^2 - b^2)^2*Log[a + b*Tanh[x]])/a^6","A",3,2,13,0.1538,1,"{3516, 894}"
90,1,33,0,0.1022015,"\int \frac{\text{csch}(x)}{i+\tanh (x)} \, dx","Int[Csch[x]/(I + Tanh[x]),x]","i \tanh ^{-1}(\cosh (x))-\frac{i \tanh ^{-1}\left(\frac{\cosh (x)+i \sinh (x)}{\sqrt{2}}\right)}{\sqrt{2}}","i \tanh ^{-1}(\cosh (x))-\frac{i \tanh ^{-1}\left(\frac{\cosh (x)+i \sinh (x)}{\sqrt{2}}\right)}{\sqrt{2}}",1,"I*ArcTanh[Cosh[x]] - (I*ArcTanh[(Cosh[x] + I*Sinh[x])/Sqrt[2]])/Sqrt[2]","A",6,5,11,0.4545,1,"{3518, 3110, 3770, 3074, 206}"
91,1,60,0,0.0611005,"\int \frac{\cosh ^4(x)}{1+\tanh (x)} \, dx","Int[Cosh[x]^4/(1 + Tanh[x]),x]","\frac{5 x}{16}+\frac{1}{8 (1-\tanh (x))}-\frac{3}{16 (\tanh (x)+1)}+\frac{1}{32 (1-\tanh (x))^2}-\frac{3}{32 (\tanh (x)+1)^2}-\frac{1}{24 (\tanh (x)+1)^3}","\frac{5 x}{16}+\frac{1}{8 (1-\tanh (x))}-\frac{3}{16 (\tanh (x)+1)}+\frac{1}{32 (1-\tanh (x))^2}-\frac{3}{32 (\tanh (x)+1)^2}-\frac{1}{24 (\tanh (x)+1)^3}",1,"(5*x)/16 + 1/(32*(1 - Tanh[x])^2) + 1/(8*(1 - Tanh[x])) - 1/(24*(1 + Tanh[x])^3) - 3/(32*(1 + Tanh[x])^2) - 3/(16*(1 + Tanh[x]))","A",4,3,11,0.2727,1,"{3487, 44, 207}"
92,1,29,0,0.0420266,"\int \frac{\cosh ^3(x)}{1+\tanh (x)} \, dx","Int[Cosh[x]^3/(1 + Tanh[x]),x]","\frac{4 \sinh ^3(x)}{15}+\frac{4 \sinh (x)}{5}-\frac{\cosh ^3(x)}{5 (\tanh (x)+1)}","\frac{4 \sinh ^3(x)}{15}+\frac{4 \sinh (x)}{5}-\frac{\cosh ^3(x)}{5 (\tanh (x)+1)}",1,"(4*Sinh[x])/5 + (4*Sinh[x]^3)/15 - Cosh[x]^3/(5*(1 + Tanh[x]))","A",3,2,11,0.1818,1,"{3502, 2633}"
93,1,38,0,0.0492305,"\int \frac{\cosh ^2(x)}{1+\tanh (x)} \, dx","Int[Cosh[x]^2/(1 + Tanh[x]),x]","\frac{3 x}{8}+\frac{1}{8 (1-\tanh (x))}-\frac{1}{4 (\tanh (x)+1)}-\frac{1}{8 (\tanh (x)+1)^2}","\frac{3 x}{8}+\frac{1}{8 (1-\tanh (x))}-\frac{1}{4 (\tanh (x)+1)}-\frac{1}{8 (\tanh (x)+1)^2}",1,"(3*x)/8 + 1/(8*(1 - Tanh[x])) - 1/(8*(1 + Tanh[x])^2) - 1/(4*(1 + Tanh[x]))","A",4,3,11,0.2727,1,"{3487, 44, 207}"
94,1,19,0,0.0300766,"\int \frac{\cosh (x)}{1+\tanh (x)} \, dx","Int[Cosh[x]/(1 + Tanh[x]),x]","\frac{2 \sinh (x)}{3}-\frac{\cosh (x)}{3 (\tanh (x)+1)}","\frac{2 \sinh (x)}{3}-\frac{\cosh (x)}{3 (\tanh (x)+1)}",1,"(2*Sinh[x])/3 - Cosh[x]/(3*(1 + Tanh[x]))","A",2,2,9,0.2222,1,"{3502, 2637}"
95,1,10,0,0.019921,"\int \frac{\text{sech}(x)}{1+\tanh (x)} \, dx","Int[Sech[x]/(1 + Tanh[x]),x]","-\frac{\text{sech}(x)}{\tanh (x)+1}","-\frac{\text{sech}(x)}{\tanh (x)+1}",1,"-(Sech[x]/(1 + Tanh[x]))","A",1,1,9,0.1111,1,"{3488}"
96,1,5,0,0.0334008,"\int \frac{\text{sech}^2(x)}{1+\tanh (x)} \, dx","Int[Sech[x]^2/(1 + Tanh[x]),x]","\log (\tanh (x)+1)","\log (\tanh (x)+1)",1,"Log[1 + Tanh[x]]","A",2,2,11,0.1818,1,"{3487, 31}"
97,1,6,0,0.035025,"\int \frac{\text{sech}^3(x)}{1+\tanh (x)} \, dx","Int[Sech[x]^3/(1 + Tanh[x]),x]","\text{sech}(x)+\tan ^{-1}(\sinh (x))","\text{sech}(x)+\tan ^{-1}(\sinh (x))",1,"ArcTan[Sinh[x]] + Sech[x]","A",2,2,11,0.1818,1,"{3501, 3770}"
98,1,11,0,0.032956,"\int \frac{\text{sech}^4(x)}{1+\tanh (x)} \, dx","Int[Sech[x]^4/(1 + Tanh[x]),x]","\tanh (x)-\frac{\tanh ^2(x)}{2}","\tanh (x)-\frac{\tanh ^2(x)}{2}",1,"Tanh[x] - Tanh[x]^2/2","A",2,1,11,0.09091,1,"{3487}"
99,1,24,0,0.0422554,"\int \frac{\text{sech}^5(x)}{1+\tanh (x)} \, dx","Int[Sech[x]^5/(1 + Tanh[x]),x]","\frac{\text{sech}^3(x)}{3}+\frac{1}{2} \tan ^{-1}(\sinh (x))+\frac{1}{2} \tanh (x) \text{sech}(x)","\frac{\text{sech}^3(x)}{3}+\frac{1}{2} \tan ^{-1}(\sinh (x))+\frac{1}{2} \tanh (x) \text{sech}(x)",1,"ArcTan[Sinh[x]]/2 + Sech[x]^3/3 + (Sech[x]*Tanh[x])/2","A",3,3,11,0.2727,1,"{3501, 3768, 3770}"
100,1,25,0,0.0405961,"\int \frac{\text{sech}^6(x)}{1+\tanh (x)} \, dx","Int[Sech[x]^6/(1 + Tanh[x]),x]","\frac{1}{4} (1-\tanh (x))^4-\frac{2}{3} (1-\tanh (x))^3","\frac{1}{4} (1-\tanh (x))^4-\frac{2}{3} (1-\tanh (x))^3",1,"(-2*(1 - Tanh[x])^3)/3 + (1 - Tanh[x])^4/4","A",3,2,11,0.1818,1,"{3487, 43}"
101,1,34,0,0.0483828,"\int \frac{\text{sech}^7(x)}{1+\tanh (x)} \, dx","Int[Sech[x]^7/(1 + Tanh[x]),x]","\frac{\text{sech}^5(x)}{5}+\frac{3}{8} \tan ^{-1}(\sinh (x))+\frac{1}{4} \tanh (x) \text{sech}^3(x)+\frac{3}{8} \tanh (x) \text{sech}(x)","\frac{\text{sech}^5(x)}{5}+\frac{3}{8} \tan ^{-1}(\sinh (x))+\frac{1}{4} \tanh (x) \text{sech}^3(x)+\frac{3}{8} \tanh (x) \text{sech}(x)",1,"(3*ArcTan[Sinh[x]])/8 + Sech[x]^5/5 + (3*Sech[x]*Tanh[x])/8 + (Sech[x]^3*Tanh[x])/4","A",4,3,11,0.2727,1,"{3501, 3768, 3770}"
102,1,140,0,0.1583164,"\int \frac{\text{sech}^8(x)}{a+b \tanh (x)} \, dx","Int[Sech[x]^8/(a + b*Tanh[x]),x]","-\frac{\left(a^2-3 b^2\right) \tanh ^4(x)}{4 b^3}+\frac{a \left(a^2-3 b^2\right) \tanh ^3(x)}{3 b^4}-\frac{\left(-3 a^2 b^2+a^4+3 b^4\right) \tanh ^2(x)}{2 b^5}+\frac{a \left(-3 a^2 b^2+a^4+3 b^4\right) \tanh (x)}{b^6}-\frac{\left(a^2-b^2\right)^3 \log (a+b \tanh (x))}{b^7}+\frac{a \tanh ^5(x)}{5 b^2}-\frac{\tanh ^6(x)}{6 b}","-\frac{\left(a^2-3 b^2\right) \tanh ^4(x)}{4 b^3}+\frac{a \left(a^2-3 b^2\right) \tanh ^3(x)}{3 b^4}-\frac{\left(-3 a^2 b^2+a^4+3 b^4\right) \tanh ^2(x)}{2 b^5}+\frac{a \left(-3 a^2 b^2+a^4+3 b^4\right) \tanh (x)}{b^6}-\frac{\left(a^2-b^2\right)^3 \log (a+b \tanh (x))}{b^7}+\frac{a \tanh ^5(x)}{5 b^2}-\frac{\tanh ^6(x)}{6 b}",1,"-(((a^2 - b^2)^3*Log[a + b*Tanh[x]])/b^7) + (a*(a^4 - 3*a^2*b^2 + 3*b^4)*Tanh[x])/b^6 - ((a^4 - 3*a^2*b^2 + 3*b^4)*Tanh[x]^2)/(2*b^5) + (a*(a^2 - 3*b^2)*Tanh[x]^3)/(3*b^4) - ((a^2 - 3*b^2)*Tanh[x]^4)/(4*b^3) + (a*Tanh[x]^5)/(5*b^2) - Tanh[x]^6/(6*b)","A",3,2,13,0.1538,1,"{3506, 697}"
103,1,83,0,0.1110354,"\int \frac{\text{sech}^6(x)}{a+b \tanh (x)} \, dx","Int[Sech[x]^6/(a + b*Tanh[x]),x]","\frac{\left(a^2-2 b^2\right) \tanh ^2(x)}{2 b^3}-\frac{a \left(a^2-2 b^2\right) \tanh (x)}{b^4}+\frac{\left(a^2-b^2\right)^2 \log (a+b \tanh (x))}{b^5}-\frac{a \tanh ^3(x)}{3 b^2}+\frac{\tanh ^4(x)}{4 b}","\frac{\left(a^2-2 b^2\right) \tanh ^2(x)}{2 b^3}-\frac{a \left(a^2-2 b^2\right) \tanh (x)}{b^4}+\frac{\left(a^2-b^2\right)^2 \log (a+b \tanh (x))}{b^5}-\frac{a \tanh ^3(x)}{3 b^2}+\frac{\tanh ^4(x)}{4 b}",1,"((a^2 - b^2)^2*Log[a + b*Tanh[x]])/b^5 - (a*(a^2 - 2*b^2)*Tanh[x])/b^4 + ((a^2 - 2*b^2)*Tanh[x]^2)/(2*b^3) - (a*Tanh[x]^3)/(3*b^2) + Tanh[x]^4/(4*b)","A",3,2,13,0.1538,1,"{3506, 697}"
104,1,40,0,0.06617,"\int \frac{\text{sech}^4(x)}{a+b \tanh (x)} \, dx","Int[Sech[x]^4/(a + b*Tanh[x]),x]","-\frac{\left(a^2-b^2\right) \log (a+b \tanh (x))}{b^3}+\frac{a \tanh (x)}{b^2}-\frac{\tanh ^2(x)}{2 b}","-\frac{\left(a^2-b^2\right) \log (a+b \tanh (x))}{b^3}+\frac{a \tanh (x)}{b^2}-\frac{\tanh ^2(x)}{2 b}",1,"-(((a^2 - b^2)*Log[a + b*Tanh[x]])/b^3) + (a*Tanh[x])/b^2 - Tanh[x]^2/(2*b)","A",3,2,13,0.1538,1,"{3506, 697}"
105,1,11,0,0.041569,"\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}"
106,1,39,0,0.0458598,"\int \frac{1}{a+b \tanh (x)} \, dx","Int[(a + b*Tanh[x])^(-1),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",2,2,8,0.2500,1,"{3484, 3530}"
107,1,91,0,0.1455003,"\int \frac{\cosh ^2(x)}{a+b \tanh (x)} \, dx","Int[Cosh[x]^2/(a + b*Tanh[x]),x]","\frac{b^3 \log (a+b \tanh (x))}{\left(a^2-b^2\right)^2}-\frac{\cosh ^2(x) (b-a \tanh (x))}{2 \left(a^2-b^2\right)}-\frac{(a+2 b) \log (1-\tanh (x))}{4 (a+b)^2}+\frac{(a-2 b) \log (\tanh (x)+1)}{4 (a-b)^2}","\frac{b^3 \log (a+b \tanh (x))}{\left(a^2-b^2\right)^2}-\frac{\cosh ^2(x) (b-a \tanh (x))}{2 \left(a^2-b^2\right)}-\frac{(a+2 b) \log (1-\tanh (x))}{4 (a+b)^2}+\frac{(a-2 b) \log (\tanh (x)+1)}{4 (a-b)^2}",1,"-((a + 2*b)*Log[1 - Tanh[x]])/(4*(a + b)^2) + ((a - 2*b)*Log[1 + Tanh[x]])/(4*(a - b)^2) + (b^3*Log[a + b*Tanh[x]])/(a^2 - b^2)^2 - (Cosh[x]^2*(b - a*Tanh[x]))/(2*(a^2 - b^2))","A",4,3,13,0.2308,1,"{3506, 741, 801}"
108,1,155,0,0.2361217,"\int \frac{\cosh ^4(x)}{a+b \tanh (x)} \, dx","Int[Cosh[x]^4/(a + b*Tanh[x]),x]","-\frac{b^5 \log (a+b \tanh (x))}{\left(a^2-b^2\right)^3}-\frac{\left(3 a^2+9 a b+8 b^2\right) \log (1-\tanh (x))}{16 (a+b)^3}+\frac{\left(3 a^2-9 a b+8 b^2\right) \log (\tanh (x)+1)}{16 (a-b)^3}-\frac{\cosh ^4(x) (b-a \tanh (x))}{4 \left(a^2-b^2\right)}+\frac{\cosh ^2(x) \left(4 b^3-a b^2 \left(7-\frac{3 a^2}{b^2}\right) \tanh (x)\right)}{8 \left(a^2-b^2\right)^2}","-\frac{b^5 \log (a+b \tanh (x))}{\left(a^2-b^2\right)^3}-\frac{\left(3 a^2+9 a b+8 b^2\right) \log (1-\tanh (x))}{16 (a+b)^3}+\frac{\left(3 a^2-9 a b+8 b^2\right) \log (\tanh (x)+1)}{16 (a-b)^3}-\frac{\cosh ^4(x) (b-a \tanh (x))}{4 \left(a^2-b^2\right)}+\frac{\cosh ^2(x) \left(4 b^3-a b^2 \left(7-\frac{3 a^2}{b^2}\right) \tanh (x)\right)}{8 \left(a^2-b^2\right)^2}",1,"-((3*a^2 + 9*a*b + 8*b^2)*Log[1 - Tanh[x]])/(16*(a + b)^3) + ((3*a^2 - 9*a*b + 8*b^2)*Log[1 + Tanh[x]])/(16*(a - b)^3) - (b^5*Log[a + b*Tanh[x]])/(a^2 - b^2)^3 - (Cosh[x]^4*(b - a*Tanh[x]))/(4*(a^2 - b^2)) + (Cosh[x]^2*(4*b^3 - a*(7 - (3*a^2)/b^2)*b^2*Tanh[x]))/(8*(a^2 - b^2)^2)","A",5,4,13,0.3077,1,"{3506, 741, 823, 801}"
109,1,187,0,0.272871,"\int \frac{\text{sech}^7(x)}{a+b \tanh (x)} \, dx","Int[Sech[x]^7/(a + b*Tanh[x]),x]","-\frac{\left(a^2-b^2\right) \text{sech}^3(x)}{3 b^3}+\frac{\left(a^2-b^2\right)^2 \text{sech}(x)}{b^5}+\frac{a \left(a^2-b^2\right)^2 \tan ^{-1}(\sinh (x))}{b^6}-\frac{a \left(a^2-b^2\right) \tan ^{-1}(\sinh (x))}{2 b^4}-\frac{a \left(a^2-b^2\right) \tanh (x) \text{sech}(x)}{2 b^4}-\frac{\left(a^2-b^2\right)^{5/2} \tan ^{-1}\left(\frac{\cosh (x) (a \tanh (x)+b)}{\sqrt{a^2-b^2}}\right)}{b^6}+\frac{3 a \tan ^{-1}(\sinh (x))}{8 b^2}+\frac{a \tanh (x) \text{sech}^3(x)}{4 b^2}+\frac{3 a \tanh (x) \text{sech}(x)}{8 b^2}+\frac{\text{sech}^5(x)}{5 b}","-\frac{\left(a^2-b^2\right) \text{sech}^3(x)}{3 b^3}+\frac{\left(a^2-b^2\right)^2 \text{sech}(x)}{b^5}+\frac{a \left(-20 a^2 b^2+8 a^4+15 b^4\right) \tan ^{-1}(\sinh (x))}{8 b^6}-\frac{a \left(4 a^2-7 b^2\right) \tanh (x) \text{sech}(x)}{8 b^4}-\frac{\left(a^2-b^2\right)^{5/2} \tan ^{-1}\left(\frac{\cosh (x) (a \tanh (x)+b)}{\sqrt{a^2-b^2}}\right)}{b^6}+\frac{a \tanh (x) \text{sech}^3(x)}{4 b^2}+\frac{\text{sech}^5(x)}{5 b}",1,"(3*a*ArcTan[Sinh[x]])/(8*b^2) - (a*(a^2 - b^2)*ArcTan[Sinh[x]])/(2*b^4) + (a*(a^2 - b^2)^2*ArcTan[Sinh[x]])/b^6 - ((a^2 - b^2)^(5/2)*ArcTan[(Cosh[x]*(b + a*Tanh[x]))/Sqrt[a^2 - b^2]])/b^6 + ((a^2 - b^2)^2*Sech[x])/b^5 - ((a^2 - b^2)*Sech[x]^3)/(3*b^3) + Sech[x]^5/(5*b) + (3*a*Sech[x]*Tanh[x])/(8*b^2) - (a*(a^2 - b^2)*Sech[x]*Tanh[x])/(2*b^4) + (a*Sech[x]^3*Tanh[x])/(4*b^2)","A",14,6,13,0.4615,1,"{3510, 3486, 3768, 3770, 3509, 206}"
110,1,109,0,0.1663171,"\int \frac{\text{sech}^5(x)}{a+b \tanh (x)} \, dx","Int[Sech[x]^5/(a + b*Tanh[x]),x]","-\frac{\left(a^2-b^2\right) \text{sech}(x)}{b^3}-\frac{a \left(a^2-b^2\right) \tan ^{-1}(\sinh (x))}{b^4}+\frac{\left(a^2-b^2\right)^{3/2} \tan ^{-1}\left(\frac{\cosh (x) (a \tanh (x)+b)}{\sqrt{a^2-b^2}}\right)}{b^4}+\frac{a \tan ^{-1}(\sinh (x))}{2 b^2}+\frac{a \tanh (x) \text{sech}(x)}{2 b^2}+\frac{\text{sech}^3(x)}{3 b}","-\frac{\left(a^2-b^2\right) \text{sech}(x)}{b^3}-\frac{a \left(2 a^2-3 b^2\right) \tan ^{-1}(\sinh (x))}{2 b^4}+\frac{\left(a^2-b^2\right)^{3/2} \tan ^{-1}\left(\frac{\cosh (x) (a \tanh (x)+b)}{\sqrt{a^2-b^2}}\right)}{b^4}+\frac{a \tanh (x) \text{sech}(x)}{2 b^2}+\frac{\text{sech}^3(x)}{3 b}",1,"(a*ArcTan[Sinh[x]])/(2*b^2) - (a*(a^2 - b^2)*ArcTan[Sinh[x]])/b^4 + ((a^2 - b^2)^(3/2)*ArcTan[(Cosh[x]*(b + a*Tanh[x]))/Sqrt[a^2 - b^2]])/b^4 - ((a^2 - b^2)*Sech[x])/b^3 + Sech[x]^3/(3*b) + (a*Sech[x]*Tanh[x])/(2*b^2)","A",9,6,13,0.4615,1,"{3510, 3486, 3768, 3770, 3509, 206}"
111,1,56,0,0.0881527,"\int \frac{\text{sech}^3(x)}{a+b \tanh (x)} \, dx","Int[Sech[x]^3/(a + b*Tanh[x]),x]","-\frac{\sqrt{a^2-b^2} \tan ^{-1}\left(\frac{\cosh (x) (a \tanh (x)+b)}{\sqrt{a^2-b^2}}\right)}{b^2}+\frac{a \tan ^{-1}(\sinh (x))}{b^2}+\frac{\text{sech}(x)}{b}","-\frac{\sqrt{a^2-b^2} \tan ^{-1}\left(\frac{\cosh (x) (a \tanh (x)+b)}{\sqrt{a^2-b^2}}\right)}{b^2}+\frac{a \tan ^{-1}(\sinh (x))}{b^2}+\frac{\text{sech}(x)}{b}",1,"(a*ArcTan[Sinh[x]])/b^2 - (Sqrt[a^2 - b^2]*ArcTan[(Cosh[x]*(b + a*Tanh[x]))/Sqrt[a^2 - b^2]])/b^2 + Sech[x]/b","A",5,5,13,0.3846,1,"{3510, 3486, 3770, 3509, 206}"
112,1,37,0,0.0318675,"\int \frac{\text{sech}(x)}{a+b \tanh (x)} \, dx","Int[Sech[x]/(a + b*Tanh[x]),x]","\frac{\tan ^{-1}\left(\frac{\cosh (x) (a \tanh (x)+b)}{\sqrt{a^2-b^2}}\right)}{\sqrt{a^2-b^2}}","\frac{\tan ^{-1}\left(\frac{\cosh (x) (a \tanh (x)+b)}{\sqrt{a^2-b^2}}\right)}{\sqrt{a^2-b^2}}",1,"ArcTan[(Cosh[x]*(b + a*Tanh[x]))/Sqrt[a^2 - b^2]]/Sqrt[a^2 - b^2]","A",2,2,11,0.1818,1,"{3509, 206}"
113,1,73,0,0.0900475,"\int \frac{\cosh (x)}{a+b \tanh (x)} \, dx","Int[Cosh[x]/(a + b*Tanh[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{\cosh (x) (a \tanh (x)+b)}{\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{\cosh (x) (a \tanh (x)+b)}{\sqrt{a^2-b^2}}\right)}{\left(a^2-b^2\right)^{3/2}}",1,"-((b^2*ArcTan[(Cosh[x]*(b + a*Tanh[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",5,5,11,0.4545,1,"{3511, 3486, 2637, 3509, 206}"
114,1,132,0,0.1557198,"\int \frac{\cosh ^3(x)}{a+b \tanh (x)} \, dx","Int[Cosh[x]^3/(a + b*Tanh[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{a \sinh (x)}{a^2-b^2}-\frac{b \cosh ^3(x)}{3 \left(a^2-b^2\right)}+\frac{b^3 \cosh (x)}{\left(a^2-b^2\right)^2}+\frac{b^4 \tan ^{-1}\left(\frac{\cosh (x) (a \tanh (x)+b)}{\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{a \sinh (x)}{a^2-b^2}-\frac{b \cosh ^3(x)}{3 \left(a^2-b^2\right)}+\frac{b^3 \cosh (x)}{\left(a^2-b^2\right)^2}+\frac{b^4 \tan ^{-1}\left(\frac{\cosh (x) (a \tanh (x)+b)}{\sqrt{a^2-b^2}}\right)}{\left(a^2-b^2\right)^{5/2}}",1,"(b^4*ArcTan[(Cosh[x]*(b + a*Tanh[x]))/Sqrt[a^2 - b^2]])/(a^2 - b^2)^(5/2) + (b^3*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])/(a^2 - b^2) + (a*Sinh[x]^3)/(3*(a^2 - b^2))","A",9,6,13,0.4615,1,"{3511, 3486, 2633, 2637, 3509, 206}"
115,1,43,0,0.0893573,"\int \frac{\tanh ^5(x)}{1+\tanh (x)} \, dx","Int[Tanh[x]^5/(1 + Tanh[x]),x]","\frac{5 x}{2}+\frac{\tanh ^4(x)}{2 (\tanh (x)+1)}-\frac{5 \tanh ^3(x)}{6}+\tanh ^2(x)-\frac{5 \tanh (x)}{2}-2 \log (\cosh (x))","\frac{5 x}{2}+\frac{\tanh ^4(x)}{2 (\tanh (x)+1)}-\frac{5 \tanh ^3(x)}{6}+\tanh ^2(x)-\frac{5 \tanh (x)}{2}-2 \log (\cosh (x))",1,"(5*x)/2 - 2*Log[Cosh[x]] - (5*Tanh[x])/2 + Tanh[x]^2 - (5*Tanh[x]^3)/6 + Tanh[x]^4/(2*(1 + Tanh[x]))","A",5,4,11,0.3636,1,"{3550, 3528, 3525, 3475}"
116,1,37,0,0.0657397,"\int \frac{\tanh ^4(x)}{1+\tanh (x)} \, dx","Int[Tanh[x]^4/(1 + Tanh[x]),x]","-\frac{3 x}{2}+\frac{\tanh ^3(x)}{2 (\tanh (x)+1)}-\tanh ^2(x)+\frac{3 \tanh (x)}{2}+2 \log (\cosh (x))","-\frac{3 x}{2}+\frac{\tanh ^3(x)}{2 (\tanh (x)+1)}-\tanh ^2(x)+\frac{3 \tanh (x)}{2}+2 \log (\cosh (x))",1,"(-3*x)/2 + 2*Log[Cosh[x]] + (3*Tanh[x])/2 - Tanh[x]^2 + Tanh[x]^3/(2*(1 + Tanh[x]))","A",4,4,11,0.3636,1,"{3550, 3528, 3525, 3475}"
117,1,31,0,0.0512713,"\int \frac{\tanh ^3(x)}{1+\tanh (x)} \, dx","Int[Tanh[x]^3/(1 + Tanh[x]),x]","\frac{3 x}{2}+\frac{\tanh ^2(x)}{2 (\tanh (x)+1)}-\frac{3 \tanh (x)}{2}-\log (\cosh (x))","\frac{3 x}{2}+\frac{\tanh ^2(x)}{2 (\tanh (x)+1)}-\frac{3 \tanh (x)}{2}-\log (\cosh (x))",1,"(3*x)/2 - Log[Cosh[x]] - (3*Tanh[x])/2 + Tanh[x]^2/(2*(1 + Tanh[x]))","A",3,3,11,0.2727,1,"{3550, 3525, 3475}"
118,1,19,0,0.0375599,"\int \frac{\tanh ^2(x)}{1+\tanh (x)} \, dx","Int[Tanh[x]^2/(1 + Tanh[x]),x]","-\frac{x}{2}-\frac{1}{2 (\tanh (x)+1)}+\log (\cosh (x))","-\frac{x}{2}-\frac{1}{2 (\tanh (x)+1)}+\log (\cosh (x))",1,"-x/2 + Log[Cosh[x]] - 1/(2*(1 + Tanh[x]))","A",3,2,11,0.1818,1,"{3540, 3475}"
119,1,16,0,0.0198789,"\int \frac{\tanh (x)}{1+\tanh (x)} \, dx","Int[Tanh[x]/(1 + Tanh[x]),x]","\frac{x}{2}+\frac{1}{2 (\tanh (x)+1)}","\frac{x}{2}+\frac{1}{2 (\tanh (x)+1)}",1,"x/2 + 1/(2*(1 + Tanh[x]))","A",2,2,9,0.2222,1,"{3526, 8}"
120,1,16,0,0.0084776,"\int \frac{1}{1+\tanh (x)} \, dx","Int[(1 + Tanh[x])^(-1),x]","\frac{x}{2}-\frac{1}{2 (\tanh (x)+1)}","\frac{x}{2}-\frac{1}{2 (\tanh (x)+1)}",1,"x/2 - 1/(2*(1 + Tanh[x]))","A",2,2,6,0.3333,1,"{3479, 8}"
121,1,19,0,0.0404755,"\int \frac{\coth (x)}{1+\tanh (x)} \, dx","Int[Coth[x]/(1 + Tanh[x]),x]","-\frac{x}{2}+\frac{1}{2 (\tanh (x)+1)}+\log (\sinh (x))","-\frac{x}{2}+\frac{1}{2 (\tanh (x)+1)}+\log (\sinh (x))",1,"-x/2 + Log[Sinh[x]] + 1/(2*(1 + Tanh[x]))","A",4,4,9,0.4444,1,"{3551, 3479, 8, 3475}"
122,1,29,0,0.0676766,"\int \frac{\coth ^2(x)}{1+\tanh (x)} \, dx","Int[Coth[x]^2/(1 + Tanh[x]),x]","\frac{3 x}{2}-\frac{3 \coth (x)}{2}-\log (\sinh (x))+\frac{\coth (x)}{2 (\tanh (x)+1)}","\frac{3 x}{2}-\frac{3 \coth (x)}{2}-\log (\sinh (x))+\frac{\coth (x)}{2 (\tanh (x)+1)}",1,"(3*x)/2 - (3*Coth[x])/2 - Log[Sinh[x]] + Coth[x]/(2*(1 + Tanh[x]))","A",4,4,11,0.3636,1,"{3552, 3529, 3531, 3475}"
123,1,37,0,0.0888637,"\int \frac{\coth ^3(x)}{1+\tanh (x)} \, dx","Int[Coth[x]^3/(1 + Tanh[x]),x]","-\frac{3 x}{2}-\coth ^2(x)+\frac{3 \coth (x)}{2}+2 \log (\sinh (x))+\frac{\coth ^2(x)}{2 (\tanh (x)+1)}","-\frac{3 x}{2}-\coth ^2(x)+\frac{3 \coth (x)}{2}+2 \log (\sinh (x))+\frac{\coth ^2(x)}{2 (\tanh (x)+1)}",1,"(-3*x)/2 + (3*Coth[x])/2 - Coth[x]^2 + 2*Log[Sinh[x]] + Coth[x]^2/(2*(1 + Tanh[x]))","A",5,4,11,0.3636,1,"{3552, 3529, 3531, 3475}"
124,1,43,0,0.1007502,"\int \frac{\coth ^4(x)}{1+\tanh (x)} \, dx","Int[Coth[x]^4/(1 + Tanh[x]),x]","\frac{5 x}{2}-\frac{5 \coth ^3(x)}{6}+\coth ^2(x)-\frac{5 \coth (x)}{2}-2 \log (\sinh (x))+\frac{\coth ^3(x)}{2 (\tanh (x)+1)}","\frac{5 x}{2}-\frac{5 \coth ^3(x)}{6}+\coth ^2(x)-\frac{5 \coth (x)}{2}-2 \log (\sinh (x))+\frac{\coth ^3(x)}{2 (\tanh (x)+1)}",1,"(5*x)/2 - (5*Coth[x])/2 + Coth[x]^2 - (5*Coth[x]^3)/6 - 2*Log[Sinh[x]] + Coth[x]^3/(2*(1 + Tanh[x]))","A",6,4,11,0.3636,1,"{3552, 3529, 3531, 3475}"
125,1,45,0,0.0478134,"\int \tanh (x) (1+\tanh (x))^{3/2} \, dx","Int[Tanh[x]*(1 + Tanh[x])^(3/2),x]","2 \sqrt{2} \tanh ^{-1}\left(\frac{\sqrt{\tanh (x)+1}}{\sqrt{2}}\right)-\frac{2}{3} (\tanh (x)+1)^{3/2}-2 \sqrt{\tanh (x)+1}","2 \sqrt{2} \tanh ^{-1}\left(\frac{\sqrt{\tanh (x)+1}}{\sqrt{2}}\right)-\frac{2}{3} (\tanh (x)+1)^{3/2}-2 \sqrt{\tanh (x)+1}",1,"2*Sqrt[2]*ArcTanh[Sqrt[1 + Tanh[x]]/Sqrt[2]] - 2*Sqrt[1 + Tanh[x]] - (2*(1 + Tanh[x])^(3/2))/3","A",4,4,11,0.3636,1,"{3527, 3478, 3480, 206}"
126,1,32,0,0.0352135,"\int \tanh (x) \sqrt{1+\tanh (x)} \, dx","Int[Tanh[x]*Sqrt[1 + Tanh[x]],x]","\sqrt{2} \tanh ^{-1}\left(\frac{\sqrt{\tanh (x)+1}}{\sqrt{2}}\right)-2 \sqrt{\tanh (x)+1}","\sqrt{2} \tanh ^{-1}\left(\frac{\sqrt{\tanh (x)+1}}{\sqrt{2}}\right)-2 \sqrt{\tanh (x)+1}",1,"Sqrt[2]*ArcTanh[Sqrt[1 + Tanh[x]]/Sqrt[2]] - 2*Sqrt[1 + Tanh[x]]","A",3,3,11,0.2727,1,"{3527, 3480, 206}"
127,1,30,0,0.0365176,"\int \frac{\tanh (x)}{\sqrt{1+\tanh (x)}} \, dx","Int[Tanh[x]/Sqrt[1 + Tanh[x]],x]","\frac{\tanh ^{-1}\left(\frac{\sqrt{\tanh (x)+1}}{\sqrt{2}}\right)}{\sqrt{2}}+\frac{1}{\sqrt{\tanh (x)+1}}","\frac{\tanh ^{-1}\left(\frac{\sqrt{\tanh (x)+1}}{\sqrt{2}}\right)}{\sqrt{2}}+\frac{1}{\sqrt{\tanh (x)+1}}",1,"ArcTanh[Sqrt[1 + Tanh[x]]/Sqrt[2]]/Sqrt[2] + 1/Sqrt[1 + Tanh[x]]","A",3,3,11,0.2727,1,"{3526, 3480, 206}"
128,1,49,0,0.0488047,"\int \frac{\tanh (x)}{(1+\tanh (x))^{3/2}} \, dx","Int[Tanh[x]/(1 + Tanh[x])^(3/2),x]","\frac{\tanh ^{-1}\left(\frac{\sqrt{\tanh (x)+1}}{\sqrt{2}}\right)}{2 \sqrt{2}}-\frac{1}{2 \sqrt{\tanh (x)+1}}+\frac{1}{3 (\tanh (x)+1)^{3/2}}","\frac{\tanh ^{-1}\left(\frac{\sqrt{\tanh (x)+1}}{\sqrt{2}}\right)}{2 \sqrt{2}}-\frac{1}{2 \sqrt{\tanh (x)+1}}+\frac{1}{3 (\tanh (x)+1)^{3/2}}",1,"ArcTanh[Sqrt[1 + Tanh[x]]/Sqrt[2]]/(2*Sqrt[2]) + 1/(3*(1 + Tanh[x])^(3/2)) - 1/(2*Sqrt[1 + Tanh[x]])","A",4,4,11,0.3636,1,"{3526, 3479, 3480, 206}"
129,1,45,0,0.0581242,"\int \tanh ^2(x) (1+\tanh (x))^{3/2} \, dx","Int[Tanh[x]^2*(1 + Tanh[x])^(3/2),x]","2 \sqrt{2} \tanh ^{-1}\left(\frac{\sqrt{\tanh (x)+1}}{\sqrt{2}}\right)-\frac{2}{5} (\tanh (x)+1)^{5/2}-2 \sqrt{\tanh (x)+1}","2 \sqrt{2} \tanh ^{-1}\left(\frac{\sqrt{\tanh (x)+1}}{\sqrt{2}}\right)-\frac{2}{5} (\tanh (x)+1)^{5/2}-2 \sqrt{\tanh (x)+1}",1,"2*Sqrt[2]*ArcTanh[Sqrt[1 + Tanh[x]]/Sqrt[2]] - 2*Sqrt[1 + Tanh[x]] - (2*(1 + Tanh[x])^(5/2))/5","A",4,4,13,0.3077,1,"{3543, 3478, 3480, 206}"
130,1,34,0,0.0441479,"\int \tanh ^2(x) \sqrt{1+\tanh (x)} \, dx","Int[Tanh[x]^2*Sqrt[1 + Tanh[x]],x]","\sqrt{2} \tanh ^{-1}\left(\frac{\sqrt{\tanh (x)+1}}{\sqrt{2}}\right)-\frac{2}{3} (\tanh (x)+1)^{3/2}","\sqrt{2} \tanh ^{-1}\left(\frac{\sqrt{\tanh (x)+1}}{\sqrt{2}}\right)-\frac{2}{3} (\tanh (x)+1)^{3/2}",1,"Sqrt[2]*ArcTanh[Sqrt[1 + Tanh[x]]/Sqrt[2]] - (2*(1 + Tanh[x])^(3/2))/3","A",3,3,13,0.2308,1,"{3543, 3480, 206}"
131,1,42,0,0.0558897,"\int \frac{\tanh ^2(x)}{\sqrt{1+\tanh (x)}} \, dx","Int[Tanh[x]^2/Sqrt[1 + Tanh[x]],x]","\frac{\tanh ^{-1}\left(\frac{\sqrt{\tanh (x)+1}}{\sqrt{2}}\right)}{\sqrt{2}}-2 \sqrt{\tanh (x)+1}-\frac{1}{\sqrt{\tanh (x)+1}}","\frac{\tanh ^{-1}\left(\frac{\sqrt{\tanh (x)+1}}{\sqrt{2}}\right)}{\sqrt{2}}-2 \sqrt{\tanh (x)+1}-\frac{1}{\sqrt{\tanh (x)+1}}",1,"ArcTanh[Sqrt[1 + Tanh[x]]/Sqrt[2]]/Sqrt[2] - 1/Sqrt[1 + Tanh[x]] - 2*Sqrt[1 + Tanh[x]]","A",4,4,13,0.3077,1,"{3543, 3479, 3480, 206}"
132,1,49,0,0.079619,"\int \frac{\tanh ^2(x)}{(1+\tanh (x))^{3/2}} \, dx","Int[Tanh[x]^2/(1 + Tanh[x])^(3/2),x]","\frac{\tanh ^{-1}\left(\frac{\sqrt{\tanh (x)+1}}{\sqrt{2}}\right)}{2 \sqrt{2}}+\frac{3}{2 \sqrt{\tanh (x)+1}}-\frac{1}{3 (\tanh (x)+1)^{3/2}}","\frac{\tanh ^{-1}\left(\frac{\sqrt{\tanh (x)+1}}{\sqrt{2}}\right)}{2 \sqrt{2}}+\frac{3}{2 \sqrt{\tanh (x)+1}}-\frac{1}{3 (\tanh (x)+1)^{3/2}}",1,"ArcTanh[Sqrt[1 + Tanh[x]]/Sqrt[2]]/(2*Sqrt[2]) - 1/(3*(1 + Tanh[x])^(3/2)) + 3/(2*Sqrt[1 + Tanh[x]])","A",4,4,13,0.3077,1,"{3540, 3526, 3480, 206}"
133,1,94,0,0.3669464,"\int \frac{\tanh ^5(x)}{a+b \tanh (x)} \, dx","Int[Tanh[x]^5/(a + b*Tanh[x]),x]","-\frac{b x}{a^2-b^2}-\frac{\left(a^2+b^2\right) \tanh (x)}{b^3}+\frac{a^5 \log (a+b \tanh (x))}{b^4 \left(a^2-b^2\right)}+\frac{a \log (\cosh (x))}{a^2-b^2}+\frac{a \tanh ^2(x)}{2 b^2}-\frac{\tanh ^3(x)}{3 b}","-\frac{b x}{a^2-b^2}-\frac{\left(a^2+b^2\right) \tanh (x)}{b^3}+\frac{a^5 \log (a+b \tanh (x))}{b^4 \left(a^2-b^2\right)}+\frac{a \log (\cosh (x))}{a^2-b^2}+\frac{a \tanh ^2(x)}{2 b^2}-\frac{\tanh ^3(x)}{3 b}",1,"-((b*x)/(a^2 - b^2)) + (a*Log[Cosh[x]])/(a^2 - b^2) + (a^5*Log[a + b*Tanh[x]])/(b^4*(a^2 - b^2)) - ((a^2 + b^2)*Tanh[x])/b^3 + (a*Tanh[x]^2)/(2*b^2) - Tanh[x]^3/(3*b)","A",7,7,13,0.5385,1,"{3566, 3647, 3648, 3626, 3617, 31, 3475}"
134,1,76,0,0.2134639,"\int \frac{\tanh ^4(x)}{a+b \tanh (x)} \, dx","Int[Tanh[x]^4/(a + b*Tanh[x]),x]","\frac{a x}{a^2-b^2}-\frac{a^4 \log (a+b \tanh (x))}{b^3 \left(a^2-b^2\right)}-\frac{b \log (\cosh (x))}{a^2-b^2}+\frac{a \tanh (x)}{b^2}-\frac{\tanh ^2(x)}{2 b}","\frac{a x}{a^2-b^2}-\frac{a^4 \log (a+b \tanh (x))}{b^3 \left(a^2-b^2\right)}-\frac{b \log (\cosh (x))}{a^2-b^2}+\frac{a \tanh (x)}{b^2}-\frac{\tanh ^2(x)}{2 b}",1,"(a*x)/(a^2 - b^2) - (b*Log[Cosh[x]])/(a^2 - b^2) - (a^4*Log[a + b*Tanh[x]])/(b^3*(a^2 - b^2)) + (a*Tanh[x])/b^2 - Tanh[x]^2/(2*b)","A",6,6,13,0.4615,1,"{3566, 3647, 3627, 3617, 31, 3475}"
135,1,64,0,0.1286033,"\int \frac{\tanh ^3(x)}{a+b \tanh (x)} \, dx","Int[Tanh[x]^3/(a + b*Tanh[x]),x]","-\frac{b x}{a^2-b^2}+\frac{a^3 \log (a+b \tanh (x))}{b^2 \left(a^2-b^2\right)}+\frac{a \log (\cosh (x))}{a^2-b^2}-\frac{\tanh (x)}{b}","-\frac{b x}{a^2-b^2}+\frac{a^3 \log (a+b \tanh (x))}{b^2 \left(a^2-b^2\right)}+\frac{a \log (\cosh (x))}{a^2-b^2}-\frac{\tanh (x)}{b}",1,"-((b*x)/(a^2 - b^2)) + (a*Log[Cosh[x]])/(a^2 - b^2) + (a^3*Log[a + b*Tanh[x]])/(b^2*(a^2 - b^2)) - Tanh[x]/b","A",5,5,13,0.3846,1,"{3566, 3626, 3617, 31, 3475}"
136,1,63,0,0.0918364,"\int \frac{\tanh ^2(x)}{a+b \tanh (x)} \, dx","Int[Tanh[x]^2/(a + b*Tanh[x]),x]","\frac{a^3 x}{b^2 \left(a^2-b^2\right)}-\frac{a^2 \log (a \cosh (x)+b \sinh (x))}{b \left(a^2-b^2\right)}-\frac{a x}{b^2}+\frac{\log (\cosh (x))}{b}","\frac{a^3 x}{b^2 \left(a^2-b^2\right)}-\frac{a^2 \log (a \cosh (x)+b \sinh (x))}{b \left(a^2-b^2\right)}-\frac{a x}{b^2}+\frac{\log (\cosh (x))}{b}",1,"-((a*x)/b^2) + (a^3*x)/(b^2*(a^2 - b^2)) + Log[Cosh[x]]/b - (a^2*Log[a*Cosh[x] + b*Sinh[x]])/(b*(a^2 - b^2))","A",4,4,13,0.3077,1,"{3541, 3475, 3484, 3530}"
137,1,39,0,0.0593377,"\int \frac{\tanh (x)}{a+b \tanh (x)} \, dx","Int[Tanh[x]/(a + b*Tanh[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",2,2,11,0.1818,1,"{3531, 3530}"
138,1,39,0,0.0460166,"\int \frac{1}{a+b \tanh (x)} \, dx","Int[(a + b*Tanh[x])^(-1),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",2,2,8,0.2500,1,"{3484, 3530}"
139,1,51,0,0.0788969,"\int \frac{\coth (x)}{a+b \tanh (x)} \, dx","Int[Coth[x]/(a + b*Tanh[x]),x]","-\frac{b x}{a^2-b^2}+\frac{b^2 \log (a \cosh (x)+b \sinh (x))}{a \left(a^2-b^2\right)}+\frac{\log (\sinh (x))}{a}","-\frac{b x}{a^2-b^2}+\frac{b^2 \log (a \cosh (x)+b \sinh (x))}{a \left(a^2-b^2\right)}+\frac{\log (\sinh (x))}{a}",1,"-((b*x)/(a^2 - b^2)) + Log[Sinh[x]]/a + (b^2*Log[a*Cosh[x] + b*Sinh[x]])/(a*(a^2 - b^2))","A",3,3,11,0.2727,1,"{3571, 3530, 3475}"
140,1,60,0,0.1820092,"\int \frac{\coth ^2(x)}{a+b \tanh (x)} \, dx","Int[Coth[x]^2/(a + b*Tanh[x]),x]","\frac{a x}{a^2-b^2}-\frac{b^3 \log (a \cosh (x)+b \sinh (x))}{a^2 \left(a^2-b^2\right)}-\frac{b \log (\sinh (x))}{a^2}-\frac{\coth (x)}{a}","\frac{a x}{a^2-b^2}-\frac{b^3 \log (a \cosh (x)+b \sinh (x))}{a^2 \left(a^2-b^2\right)}-\frac{b \log (\sinh (x))}{a^2}-\frac{\coth (x)}{a}",1,"(a*x)/(a^2 - b^2) - Coth[x]/a - (b*Log[Sinh[x]])/a^2 - (b^3*Log[a*Cosh[x] + b*Sinh[x]])/(a^2*(a^2 - b^2))","A",4,4,13,0.3077,1,"{3569, 3651, 3530, 3475}"
141,1,76,0,0.3091122,"\int \frac{\coth ^3(x)}{a+b \tanh (x)} \, dx","Int[Coth[x]^3/(a + b*Tanh[x]),x]","-\frac{b x}{a^2-b^2}+\frac{\left(a^2+b^2\right) \log (\sinh (x))}{a^3}+\frac{b^4 \log (a \cosh (x)+b \sinh (x))}{a^3 \left(a^2-b^2\right)}+\frac{b \coth (x)}{a^2}-\frac{\coth ^2(x)}{2 a}","-\frac{b x}{a^2-b^2}+\frac{\left(a^2+b^2\right) \log (\sinh (x))}{a^3}+\frac{b^4 \log (a \cosh (x)+b \sinh (x))}{a^3 \left(a^2-b^2\right)}+\frac{b \coth (x)}{a^2}-\frac{\coth ^2(x)}{2 a}",1,"-((b*x)/(a^2 - b^2)) + (b*Coth[x])/a^2 - Coth[x]^2/(2*a) + ((a^2 + b^2)*Log[Sinh[x]])/a^3 + (b^4*Log[a*Cosh[x] + b*Sinh[x]])/(a^3*(a^2 - b^2))","A",5,5,13,0.3846,1,"{3569, 3649, 3652, 3530, 3475}"
142,1,97,0,0.4941994,"\int \frac{\coth ^4(x)}{a+b \tanh (x)} \, dx","Int[Coth[x]^4/(a + b*Tanh[x]),x]","\frac{a x}{a^2-b^2}-\frac{\left(a^2+b^2\right) \coth (x)}{a^3}-\frac{b \left(a^2+b^2\right) \log (\sinh (x))}{a^4}-\frac{b^5 \log (a \cosh (x)+b \sinh (x))}{a^4 \left(a^2-b^2\right)}+\frac{b \coth ^2(x)}{2 a^2}-\frac{\coth ^3(x)}{3 a}","\frac{a x}{a^2-b^2}-\frac{\left(a^2+b^2\right) \coth (x)}{a^3}-\frac{b \left(a^2+b^2\right) \log (\sinh (x))}{a^4}-\frac{b^5 \log (a \cosh (x)+b \sinh (x))}{a^4 \left(a^2-b^2\right)}+\frac{b \coth ^2(x)}{2 a^2}-\frac{\coth ^3(x)}{3 a}",1,"(a*x)/(a^2 - b^2) - ((a^2 + b^2)*Coth[x])/a^3 + (b*Coth[x]^2)/(2*a^2) - Coth[x]^3/(3*a) - (b*(a^2 + b^2)*Log[Sinh[x]])/a^4 - (b^5*Log[a*Cosh[x] + b*Sinh[x]])/(a^4*(a^2 - b^2))","A",6,6,13,0.4615,1,"{3569, 3649, 3650, 3651, 3530, 3475}"
143,1,55,0,0.0854264,"\int \frac{x \text{sech}^2(x)}{(a+b \tanh (x))^2} \, dx","Int[(x*Sech[x]^2)/(a + b*Tanh[x])^2,x]","\frac{a x}{b \left(a^2-b^2\right)}-\frac{\log (a \cosh (x)+b \sinh (x))}{a^2-b^2}-\frac{x}{b (a+b \tanh (x))}","\frac{a x}{b \left(a^2-b^2\right)}-\frac{\log (a \cosh (x)+b \sinh (x))}{a^2-b^2}-\frac{x}{b (a+b \tanh (x))}",1,"(a*x)/(b*(a^2 - b^2)) - Log[a*Cosh[x] + b*Sinh[x]]/(a^2 - b^2) - x/(b*(a + b*Tanh[x]))","A",3,3,14,0.2143,1,"{5466, 3484, 3530}"
144,1,231,0,0.5409967,"\int \frac{x \text{sech}^2(c+d x)}{a+b \tanh ^2(c+d x)} \, dx","Int[(x*Sech[c + d*x]^2)/(a + b*Tanh[c + d*x]^2),x]","\frac{\text{PolyLog}\left(2,-\frac{(a+b) e^{2 c+2 d x}}{-2 \sqrt{-a} \sqrt{b}+a-b}\right)}{4 \sqrt{-a} \sqrt{b} d^2}-\frac{\text{PolyLog}\left(2,-\frac{(a+b) e^{2 c+2 d x}}{2 \sqrt{-a} \sqrt{b}+a-b}\right)}{4 \sqrt{-a} \sqrt{b} d^2}+\frac{x \log \left(\frac{(a+b) e^{2 c+2 d x}}{-2 \sqrt{-a} \sqrt{b}+a-b}+1\right)}{2 \sqrt{-a} \sqrt{b} d}-\frac{x \log \left(\frac{(a+b) e^{2 c+2 d x}}{2 \sqrt{-a} \sqrt{b}+a-b}+1\right)}{2 \sqrt{-a} \sqrt{b} d}","\frac{\text{PolyLog}\left(2,-\frac{(a+b) e^{2 c+2 d x}}{-2 \sqrt{-a} \sqrt{b}+a-b}\right)}{4 \sqrt{-a} \sqrt{b} d^2}-\frac{\text{PolyLog}\left(2,-\frac{(a+b) e^{2 c+2 d x}}{2 \sqrt{-a} \sqrt{b}+a-b}\right)}{4 \sqrt{-a} \sqrt{b} d^2}+\frac{x \log \left(\frac{(a+b) e^{2 c+2 d x}}{-2 \sqrt{-a} \sqrt{b}+a-b}+1\right)}{2 \sqrt{-a} \sqrt{b} d}-\frac{x \log \left(\frac{(a+b) e^{2 c+2 d x}}{2 \sqrt{-a} \sqrt{b}+a-b}+1\right)}{2 \sqrt{-a} \sqrt{b} d}",1,"(x*Log[1 + ((a + b)*E^(2*c + 2*d*x))/(a - 2*Sqrt[-a]*Sqrt[b] - b)])/(2*Sqrt[-a]*Sqrt[b]*d) - (x*Log[1 + ((a + b)*E^(2*c + 2*d*x))/(a + 2*Sqrt[-a]*Sqrt[b] - b)])/(2*Sqrt[-a]*Sqrt[b]*d) + PolyLog[2, -(((a + b)*E^(2*c + 2*d*x))/(a - 2*Sqrt[-a]*Sqrt[b] - b))]/(4*Sqrt[-a]*Sqrt[b]*d^2) - PolyLog[2, -(((a + b)*E^(2*c + 2*d*x))/(a + 2*Sqrt[-a]*Sqrt[b] - b))]/(4*Sqrt[-a]*Sqrt[b]*d^2)","A",9,6,24,0.2500,1,"{5632, 3320, 2264, 2190, 2279, 2391}"
145,1,351,0,0.8666705,"\int \frac{x^2 \text{sech}^2(c+d x)}{a+b \tanh ^2(c+d x)} \, dx","Int[(x^2*Sech[c + d*x]^2)/(a + b*Tanh[c + d*x]^2),x]","\frac{x \text{PolyLog}\left(2,-\frac{(a+b) e^{2 c+2 d x}}{-2 \sqrt{-a} \sqrt{b}+a-b}\right)}{2 \sqrt{-a} \sqrt{b} d^2}-\frac{x \text{PolyLog}\left(2,-\frac{(a+b) e^{2 c+2 d x}}{2 \sqrt{-a} \sqrt{b}+a-b}\right)}{2 \sqrt{-a} \sqrt{b} d^2}-\frac{\text{PolyLog}\left(3,-\frac{(a+b) e^{2 c+2 d x}}{-2 \sqrt{-a} \sqrt{b}+a-b}\right)}{4 \sqrt{-a} \sqrt{b} d^3}+\frac{\text{PolyLog}\left(3,-\frac{(a+b) e^{2 c+2 d x}}{2 \sqrt{-a} \sqrt{b}+a-b}\right)}{4 \sqrt{-a} \sqrt{b} d^3}+\frac{x^2 \log \left(\frac{(a+b) e^{2 c+2 d x}}{-2 \sqrt{-a} \sqrt{b}+a-b}+1\right)}{2 \sqrt{-a} \sqrt{b} d}-\frac{x^2 \log \left(\frac{(a+b) e^{2 c+2 d x}}{2 \sqrt{-a} \sqrt{b}+a-b}+1\right)}{2 \sqrt{-a} \sqrt{b} d}","\frac{x \text{PolyLog}\left(2,-\frac{(a+b) e^{2 c+2 d x}}{-2 \sqrt{-a} \sqrt{b}+a-b}\right)}{2 \sqrt{-a} \sqrt{b} d^2}-\frac{x \text{PolyLog}\left(2,-\frac{(a+b) e^{2 c+2 d x}}{2 \sqrt{-a} \sqrt{b}+a-b}\right)}{2 \sqrt{-a} \sqrt{b} d^2}-\frac{\text{PolyLog}\left(3,-\frac{(a+b) e^{2 c+2 d x}}{-2 \sqrt{-a} \sqrt{b}+a-b}\right)}{4 \sqrt{-a} \sqrt{b} d^3}+\frac{\text{PolyLog}\left(3,-\frac{(a+b) e^{2 c+2 d x}}{2 \sqrt{-a} \sqrt{b}+a-b}\right)}{4 \sqrt{-a} \sqrt{b} d^3}+\frac{x^2 \log \left(\frac{(a+b) e^{2 c+2 d x}}{-2 \sqrt{-a} \sqrt{b}+a-b}+1\right)}{2 \sqrt{-a} \sqrt{b} d}-\frac{x^2 \log \left(\frac{(a+b) e^{2 c+2 d x}}{2 \sqrt{-a} \sqrt{b}+a-b}+1\right)}{2 \sqrt{-a} \sqrt{b} d}",1,"(x^2*Log[1 + ((a + b)*E^(2*c + 2*d*x))/(a - 2*Sqrt[-a]*Sqrt[b] - b)])/(2*Sqrt[-a]*Sqrt[b]*d) - (x^2*Log[1 + ((a + b)*E^(2*c + 2*d*x))/(a + 2*Sqrt[-a]*Sqrt[b] - b)])/(2*Sqrt[-a]*Sqrt[b]*d) + (x*PolyLog[2, -(((a + b)*E^(2*c + 2*d*x))/(a - 2*Sqrt[-a]*Sqrt[b] - b))])/(2*Sqrt[-a]*Sqrt[b]*d^2) - (x*PolyLog[2, -(((a + b)*E^(2*c + 2*d*x))/(a + 2*Sqrt[-a]*Sqrt[b] - b))])/(2*Sqrt[-a]*Sqrt[b]*d^2) - PolyLog[3, -(((a + b)*E^(2*c + 2*d*x))/(a - 2*Sqrt[-a]*Sqrt[b] - b))]/(4*Sqrt[-a]*Sqrt[b]*d^3) + PolyLog[3, -(((a + b)*E^(2*c + 2*d*x))/(a + 2*Sqrt[-a]*Sqrt[b] - b))]/(4*Sqrt[-a]*Sqrt[b]*d^3)","A",11,7,26,0.2692,1,"{5632, 3320, 2264, 2190, 2531, 2282, 6589}"
146,0,0,0,0.0291397,"\int x^3 \tanh (a+2 \log (x)) \, dx","Int[x^3*Tanh[a + 2*Log[x]],x]","\int x^3 \tanh (a+2 \log (x)) \, dx","\frac{x^4}{4}-\frac{1}{2} e^{-2 a} \log \left(e^{2 a} x^4+1\right)",1,"Defer[Int][x^3*Tanh[a + 2*Log[x]], x]","F",0,0,0,0,-1,"{}"
147,0,0,0,0.0216819,"\int x^2 \tanh (a+2 \log (x)) \, dx","Int[x^2*Tanh[a + 2*Log[x]],x]","\int x^2 \tanh (a+2 \log (x)) \, dx","-\frac{e^{-3 a/2} \log \left(e^a x^2-\sqrt{2} e^{a/2} x+1\right)}{2 \sqrt{2}}+\frac{e^{-3 a/2} \log \left(e^a x^2+\sqrt{2} e^{a/2} x+1\right)}{2 \sqrt{2}}+\frac{e^{-3 a/2} \tan ^{-1}\left(1-\sqrt{2} e^{a/2} x\right)}{\sqrt{2}}-\frac{e^{-3 a/2} \tan ^{-1}\left(\sqrt{2} e^{a/2} x+1\right)}{\sqrt{2}}+\frac{x^3}{3}",1,"Defer[Int][x^2*Tanh[a + 2*Log[x]], x]","F",0,0,0,0,-1,"{}"
148,0,0,0,0.0160746,"\int x \tanh (a+2 \log (x)) \, dx","Int[x*Tanh[a + 2*Log[x]],x]","\int x \tanh (a+2 \log (x)) \, dx","\frac{x^2}{2}-e^{-a} \tan ^{-1}\left(e^a x^2\right)",1,"Defer[Int][x*Tanh[a + 2*Log[x]], x]","F",0,0,0,0,-1,"{}"
149,0,0,0,0.0073467,"\int \tanh (a+2 \log (x)) \, dx","Int[Tanh[a + 2*Log[x]],x]","\int \tanh (a+2 \log (x)) \, dx","\frac{e^{-a/2} \log \left(e^a x^2-\sqrt{2} e^{a/2} x+1\right)}{2 \sqrt{2}}-\frac{e^{-a/2} \log \left(e^a x^2+\sqrt{2} e^{a/2} x+1\right)}{2 \sqrt{2}}+\frac{e^{-a/2} \tan ^{-1}\left(1-\sqrt{2} e^{a/2} x\right)}{\sqrt{2}}-\frac{e^{-a/2} \tan ^{-1}\left(\sqrt{2} e^{a/2} x+1\right)}{\sqrt{2}}+x",1,"Defer[Int][Tanh[a + 2*Log[x]], x]","F",0,0,0,0,-1,"{}"
150,1,12,0,0.0135338,"\int \frac{\tanh (a+2 \log (x))}{x} \, dx","Int[Tanh[a + 2*Log[x]]/x,x]","\frac{1}{2} \log (\cosh (a+2 \log (x)))","\frac{1}{2} \log (\cosh (a+2 \log (x)))",1,"Log[Cosh[a + 2*Log[x]]]/2","A",2,1,11,0.09091,1,"{3475}"
151,0,0,0,0.0237645,"\int \frac{\tanh (a+2 \log (x))}{x^2} \, dx","Int[Tanh[a + 2*Log[x]]/x^2,x]","\int \frac{\tanh (a+2 \log (x))}{x^2} \, dx","\frac{e^{a/2} \log \left(e^a x^2-\sqrt{2} e^{a/2} x+1\right)}{2 \sqrt{2}}-\frac{e^{a/2} \log \left(e^a x^2+\sqrt{2} e^{a/2} x+1\right)}{2 \sqrt{2}}-\frac{e^{a/2} \tan ^{-1}\left(1-\sqrt{2} e^{a/2} x\right)}{\sqrt{2}}+\frac{e^{a/2} \tan ^{-1}\left(\sqrt{2} e^{a/2} x+1\right)}{\sqrt{2}}+\frac{1}{x}",1,"Defer[Int][Tanh[a + 2*Log[x]]/x^2, x]","F",0,0,0,0,-1,"{}"
152,0,0,0,0.0244611,"\int \frac{\tanh (a+2 \log (x))}{x^3} \, dx","Int[Tanh[a + 2*Log[x]]/x^3,x]","\int \frac{\tanh (a+2 \log (x))}{x^3} \, dx","e^a \tan ^{-1}\left(e^a x^2\right)+\frac{1}{2 x^2}",1,"Defer[Int][Tanh[a + 2*Log[x]]/x^3, x]","F",0,0,0,0,-1,"{}"
153,0,0,0,0.0678357,"\int x^3 \tanh ^2(a+2 \log (x)) \, dx","Int[x^3*Tanh[a + 2*Log[x]]^2,x]","\int x^3 \tanh ^2(a+2 \log (x)) \, dx","-\frac{e^{-2 a}}{e^{2 a} x^4+1}-e^{-2 a} \log \left(e^{2 a} x^4+1\right)+\frac{x^4}{4}",1,"Defer[Int][x^3*Tanh[a + 2*Log[x]]^2, x]","F",0,0,0,0,-1,"{}"
154,0,0,0,0.0479177,"\int x^2 \tanh ^2(a+2 \log (x)) \, dx","Int[x^2*Tanh[a + 2*Log[x]]^2,x]","\int x^2 \tanh ^2(a+2 \log (x)) \, dx","\frac{x^3}{e^{2 a} x^4+1}-\frac{3 e^{-3 a/2} \log \left(e^a x^2-\sqrt{2} e^{a/2} x+1\right)}{4 \sqrt{2}}+\frac{3 e^{-3 a/2} \log \left(e^a x^2+\sqrt{2} e^{a/2} x+1\right)}{4 \sqrt{2}}+\frac{3 e^{-3 a/2} \tan ^{-1}\left(1-\sqrt{2} e^{a/2} x\right)}{2 \sqrt{2}}-\frac{3 e^{-3 a/2} \tan ^{-1}\left(\sqrt{2} e^{a/2} x+1\right)}{2 \sqrt{2}}+\frac{x^3}{3}",1,"Defer[Int][x^2*Tanh[a + 2*Log[x]]^2, x]","F",0,0,0,0,-1,"{}"
155,0,0,0,0.0302817,"\int x \tanh ^2(a+2 \log (x)) \, dx","Int[x*Tanh[a + 2*Log[x]]^2,x]","\int x \tanh ^2(a+2 \log (x)) \, dx","\frac{x^2}{e^{2 a} x^4+1}-e^{-a} \tan ^{-1}\left(e^a x^2\right)+\frac{x^2}{2}",1,"Defer[Int][x*Tanh[a + 2*Log[x]]^2, x]","F",0,0,0,0,-1,"{}"
156,0,0,0,0.0100514,"\int \tanh ^2(a+2 \log (x)) \, dx","Int[Tanh[a + 2*Log[x]]^2,x]","\int \tanh ^2(a+2 \log (x)) \, dx","\frac{x}{e^{2 a} x^4+1}+\frac{e^{-a/2} \log \left(e^a x^2-\sqrt{2} e^{a/2} x+1\right)}{4 \sqrt{2}}-\frac{e^{-a/2} \log \left(e^a x^2+\sqrt{2} e^{a/2} x+1\right)}{4 \sqrt{2}}+\frac{e^{-a/2} \tan ^{-1}\left(1-\sqrt{2} e^{a/2} x\right)}{2 \sqrt{2}}-\frac{e^{-a/2} \tan ^{-1}\left(\sqrt{2} e^{a/2} x+1\right)}{2 \sqrt{2}}+x",1,"Defer[Int][Tanh[a + 2*Log[x]]^2, x]","F",0,0,0,0,-1,"{}"
157,1,14,0,0.023689,"\int \frac{\tanh ^2(a+2 \log (x))}{x} \, dx","Int[Tanh[a + 2*Log[x]]^2/x,x]","\log (x)-\frac{1}{2} \tanh (a+2 \log (x))","\log (x)-\frac{1}{2} \tanh (a+2 \log (x))",1,"Log[x] - Tanh[a + 2*Log[x]]/2","A",3,2,13,0.1538,1,"{3473, 8}"
158,0,0,0,0.044585,"\int \frac{\tanh ^2(a+2 \log (x))}{x^2} \, dx","Int[Tanh[a + 2*Log[x]]^2/x^2,x]","\int \frac{\tanh ^2(a+2 \log (x))}{x^2} \, dx","-\frac{2 e^{2 a} x^3}{e^{2 a} x^4+1}-\frac{1}{x \left(e^{2 a} x^4+1\right)}-\frac{e^{a/2} \log \left(e^a x^2-\sqrt{2} e^{a/2} x+1\right)}{4 \sqrt{2}}+\frac{e^{a/2} \log \left(e^a x^2+\sqrt{2} e^{a/2} x+1\right)}{4 \sqrt{2}}+\frac{e^{a/2} \tan ^{-1}\left(1-\sqrt{2} e^{a/2} x\right)}{2 \sqrt{2}}-\frac{e^{a/2} \tan ^{-1}\left(\sqrt{2} e^{a/2} x+1\right)}{2 \sqrt{2}}",1,"Defer[Int][Tanh[a + 2*Log[x]]^2/x^2, x]","F",0,0,0,0,-1,"{}"
159,0,0,0,0.0534242,"\int \frac{\tanh ^2(a+2 \log (x))}{x^3} \, dx","Int[Tanh[a + 2*Log[x]]^2/x^3,x]","\int \frac{\tanh ^2(a+2 \log (x))}{x^3} \, dx","-\frac{3 e^{2 a} x^2}{2 \left(e^{2 a} x^4+1\right)}-\frac{1}{2 x^2 \left(e^{2 a} x^4+1\right)}-e^a \tan ^{-1}\left(e^a x^2\right)",1,"Defer[Int][Tanh[a + 2*Log[x]]^2/x^3, x]","F",0,0,0,0,-1,"{}"
160,0,0,0,0.0391039,"\int (e x)^m \tanh (a+2 \log (x)) \, dx","Int[(e*x)^m*Tanh[a + 2*Log[x]],x]","\int (e x)^m \tanh (a+2 \log (x)) \, dx","\frac{(e x)^{m+1}}{e (m+1)}-\frac{2 (e x)^{m+1} \, _2F_1\left(1,\frac{m+1}{4};\frac{m+5}{4};-e^{2 a} x^4\right)}{e (m+1)}",1,"Defer[Int][(e*x)^m*Tanh[a + 2*Log[x]], x]","F",0,0,0,0,-1,"{}"
161,0,0,0,0.0691203,"\int (e x)^m \tanh ^2(a+2 \log (x)) \, dx","Int[(e*x)^m*Tanh[a + 2*Log[x]]^2,x]","\int (e x)^m \tanh ^2(a+2 \log (x)) \, dx","-\frac{(e x)^{m+1} \, _2F_1\left(1,\frac{m+1}{4};\frac{m+5}{4};-e^{2 a} x^4\right)}{e}+\frac{(e x)^{m+1}}{e \left(e^{2 a} x^4+1\right)}+\frac{(e x)^{m+1}}{e (m+1)}",1,"Defer[Int][(e*x)^m*Tanh[a + 2*Log[x]]^2, x]","F",0,0,0,0,-1,"{}"
162,0,0,0,0.0739888,"\int (e x)^m \tanh ^3(a+2 \log (x)) \, dx","Int[(e*x)^m*Tanh[a + 2*Log[x]]^3,x]","\int (e x)^m \tanh ^3(a+2 \log (x)) \, dx","-\frac{\left(m^2+2 m+9\right) (e x)^{m+1} \, _2F_1\left(1,\frac{m+1}{4};\frac{m+5}{4};-e^{2 a} x^4\right)}{4 e (m+1)}-\frac{e^{-2 a} \left(e^{4 a} (m+5) x^4+e^{2 a} (3-m)\right) (e x)^{m+1}}{8 e \left(e^{2 a} x^4+1\right)}-\frac{\left(1-e^{2 a} x^4\right)^2 (e x)^{m+1}}{4 e \left(e^{2 a} x^4+1\right)^2}+\frac{(m+3) (m+5) (e x)^{m+1}}{8 e (m+1)}",1,"Defer[Int][(e*x)^m*Tanh[a + 2*Log[x]]^3, x]","F",0,0,0,0,-1,"{}"
163,0,0,0,0.0229634,"\int \tanh ^p(a+b \log (x)) \, dx","Int[Tanh[a + b*Log[x]]^p,x]","\int \tanh ^p(a+b \log (x)) \, dx","x \left(1-e^{2 a} x^{2 b}\right)^{-p} \left(e^{2 a} x^{2 b}-1\right)^p F_1\left(\frac{1}{2 b};-p,p;\frac{1}{2} \left(2+\frac{1}{b}\right);e^{2 a} x^{2 b},-e^{2 a} x^{2 b}\right)",1,"Defer[Int][Tanh[a + b*Log[x]]^p, x]","F",0,0,0,0,-1,"{}"
164,0,0,0,0.1141298,"\int (e x)^m \tanh ^p(a+b \log (x)) \, dx","Int[(e*x)^m*Tanh[a + b*Log[x]]^p,x]","\int (e x)^m \tanh ^p(a+b \log (x)) \, dx","\frac{(e x)^{m+1} \left(1-e^{2 a} x^{2 b}\right)^{-p} \left(e^{2 a} x^{2 b}-1\right)^p F_1\left(\frac{m+1}{2 b};-p,p;\frac{m+1}{2 b}+1;e^{2 a} x^{2 b},-e^{2 a} x^{2 b}\right)}{e (m+1)}",1,"Defer[Int][(e*x)^m*Tanh[a + b*Log[x]]^p, x]","F",0,0,0,0,-1,"{}"
165,0,0,0,0.0468423,"\int \tanh ^p\left(a+\frac{\log (x)}{2}\right) \, dx","Int[Tanh[a + Log[x]/2]^p,x]","\int \tanh ^p\left(a+\frac{\log (x)}{2}\right) \, dx","\frac{e^{-2 a} 2^{-p} \left(e^{2 a} x-1\right)^{p+1} \, _2F_1\left(p,p+1;p+2;\frac{1}{2} \left(1-e^{2 a} x\right)\right)}{p+1}",1,"Defer[Int][Tanh[(2*a + Log[x])/2]^p, x]","F",0,0,0,0,-1,"{}"
166,0,0,0,0.0527003,"\int \tanh ^p\left(a+\frac{\log (x)}{4}\right) \, dx","Int[Tanh[a + Log[x]/4]^p,x]","\int \tanh ^p\left(a+\frac{\log (x)}{4}\right) \, dx","e^{-4 a} \left(e^{2 a} \sqrt{x}-1\right)^{p+1} \left(e^{2 a} \sqrt{x}+1\right)^{1-p}-\frac{e^{-4 a} 2^{1-p} p \left(e^{2 a} \sqrt{x}-1\right)^{p+1} \, _2F_1\left(p,p+1;p+2;\frac{1}{2} \left(1-e^{2 a} \sqrt{x}\right)\right)}{p+1}",1,"Defer[Int][Tanh[(4*a + Log[x])/4]^p, x]","F",0,0,0,0,-1,"{}"
167,0,0,0,0.0519714,"\int \tanh ^p\left(a+\frac{\log (x)}{6}\right) \, dx","Int[Tanh[a + Log[x]/6]^p,x]","\int \tanh ^p\left(a+\frac{\log (x)}{6}\right) \, dx","\frac{e^{-6 a} 2^{-p} \left(2 p^2+1\right) \left(e^{2 a} \sqrt[3]{x}-1\right)^{p+1} \, _2F_1\left(p,p+1;p+2;\frac{1}{2} \left(1-e^{2 a} \sqrt[3]{x}\right)\right)}{p+1}-e^{-6 a} p \left(e^{2 a} \sqrt[3]{x}-1\right)^{p+1} \left(e^{2 a} \sqrt[3]{x}+1\right)^{1-p}+e^{-4 a} \sqrt[3]{x} \left(e^{2 a} \sqrt[3]{x}-1\right)^{p+1} \left(e^{2 a} \sqrt[3]{x}+1\right)^{1-p}",1,"Defer[Int][Tanh[(6*a + Log[x])/6]^p, x]","F",0,0,0,0,-1,"{}"
168,0,0,0,0.0519402,"\int \tanh ^p\left(a+\frac{\log (x)}{8}\right) \, dx","Int[Tanh[a + Log[x]/8]^p,x]","\int \tanh ^p\left(a+\frac{\log (x)}{8}\right) \, dx","-\frac{e^{-8 a} 2^{2-p} p \left(p^2+2\right) \left(e^{2 a} \sqrt[4]{x}-1\right)^{p+1} \, _2F_1\left(p,p+1;p+2;\frac{1}{2} \left(1-e^{2 a} \sqrt[4]{x}\right)\right)}{3 (p+1)}+\frac{1}{3} e^{-12 a} \left(e^{2 a} \sqrt[4]{x}-1\right)^{p+1} \left(e^{4 a} \left(2 p^2+3\right)-2 e^{6 a} p \sqrt[4]{x}\right) \left(e^{2 a} \sqrt[4]{x}+1\right)^{1-p}+e^{-4 a} \sqrt{x} \left(e^{2 a} \sqrt[4]{x}-1\right)^{p+1} \left(e^{2 a} \sqrt[4]{x}+1\right)^{1-p}",1,"Defer[Int][Tanh[(8*a + Log[x])/8]^p, x]","F",0,0,0,0,-1,"{}"
169,0,0,0,0.0158417,"\int \tanh ^p(a+\log (x)) \, dx","Int[Tanh[a + Log[x]]^p,x]","\int \tanh ^p(a+\log (x)) \, dx","x \left(1-e^{2 a} x^2\right)^{-p} \left(e^{2 a} x^2-1\right)^p F_1\left(\frac{1}{2};-p,p;\frac{3}{2};e^{2 a} x^2,-e^{2 a} x^2\right)",1,"Defer[Int][Tanh[a + Log[x]]^p, x]","F",0,0,0,0,-1,"{}"
170,0,0,0,0.0108366,"\int \tanh ^p(a+2 \log (x)) \, dx","Int[Tanh[a + 2*Log[x]]^p,x]","\int \tanh ^p(a+2 \log (x)) \, dx","x \left(1-e^{2 a} x^4\right)^{-p} \left(e^{2 a} x^4-1\right)^p F_1\left(\frac{1}{4};-p,p;\frac{5}{4};e^{2 a} x^4,-e^{2 a} x^4\right)",1,"Defer[Int][Tanh[a + 2*Log[x]]^p, x]","F",0,0,0,0,-1,"{}"
171,0,0,0,0.0182731,"\int \tanh ^p(a+3 \log (x)) \, dx","Int[Tanh[a + 3*Log[x]]^p,x]","\int \tanh ^p(a+3 \log (x)) \, dx","x \left(1-e^{2 a} x^6\right)^{-p} \left(e^{2 a} x^6-1\right)^p F_1\left(\frac{1}{6};-p,p;\frac{7}{6};e^{2 a} x^6,-e^{2 a} x^6\right)",1,"Defer[Int][Tanh[a + 3*Log[x]]^p, x]","F",0,0,0,0,-1,"{}"
172,0,0,0,0.0415971,"\int x^3 \tanh \left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Int[x^3*Tanh[d*(a + b*Log[c*x^n])],x]","\int x^3 \tanh \left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","\frac{x^4}{4}-\frac{1}{2} x^4 \, _2F_1\left(1,\frac{2}{b d n};1+\frac{2}{b d n};-e^{2 a d} \left(c x^n\right)^{2 b d}\right)",1,"Defer[Int][x^3*Tanh[d*(a + b*Log[c*x^n])], x]","F",0,0,0,0,-1,"{}"
173,0,0,0,0.0296561,"\int x^2 \tanh \left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Int[x^2*Tanh[d*(a + b*Log[c*x^n])],x]","\int x^2 \tanh \left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","\frac{x^3}{3}-\frac{2}{3} x^3 \, _2F_1\left(1,\frac{3}{2 b d n};1+\frac{3}{2 b d n};-e^{2 a d} \left(c x^n\right)^{2 b d}\right)",1,"Defer[Int][x^2*Tanh[d*(a + b*Log[c*x^n])], x]","F",0,0,0,0,-1,"{}"
174,0,0,0,0.0240282,"\int x \tanh \left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Int[x*Tanh[d*(a + b*Log[c*x^n])],x]","\int x \tanh \left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","\frac{x^2}{2}-x^2 \, _2F_1\left(1,\frac{1}{b d n};1+\frac{1}{b d n};-e^{2 a d} \left(c x^n\right)^{2 b d}\right)",1,"Defer[Int][x*Tanh[d*(a + b*Log[c*x^n])], x]","F",0,0,0,0,-1,"{}"
175,0,0,0,0.0112735,"\int \tanh \left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Int[Tanh[d*(a + b*Log[c*x^n])],x]","\int \tanh \left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","x-2 x \, _2F_1\left(1,\frac{1}{2 b d n};1+\frac{1}{2 b d n};-e^{2 a d} \left(c x^n\right)^{2 b d}\right)",1,"Defer[Int][Tanh[d*(a + b*Log[c*x^n])], x]","F",0,0,0,0,-1,"{}"
176,1,25,0,0.0204699,"\int \frac{\tanh \left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x} \, dx","Int[Tanh[d*(a + b*Log[c*x^n])]/x,x]","\frac{\log \left(\cosh \left(a d+b d \log \left(c x^n\right)\right)\right)}{b d n}","\frac{\log \left(\cosh \left(a d+b d \log \left(c x^n\right)\right)\right)}{b d n}",1,"Log[Cosh[a*d + b*d*Log[c*x^n]]]/(b*d*n)","A",2,1,17,0.05882,1,"{3475}"
177,0,0,0,0.0294655,"\int \frac{\tanh \left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x^2} \, dx","Int[Tanh[d*(a + b*Log[c*x^n])]/x^2,x]","\int \frac{\tanh \left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x^2} \, dx","\frac{2 \, _2F_1\left(1,-\frac{1}{2 b d n};1-\frac{1}{2 b d n};-e^{2 a d} \left(c x^n\right)^{2 b d}\right)}{x}-\frac{1}{x}",1,"Defer[Int][Tanh[d*(a + b*Log[c*x^n])]/x^2, x]","F",0,0,0,0,-1,"{}"
178,0,0,0,0.0286536,"\int \frac{\tanh \left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x^3} \, dx","Int[Tanh[d*(a + b*Log[c*x^n])]/x^3,x]","\int \frac{\tanh \left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x^3} \, dx","\frac{\, _2F_1\left(1,-\frac{1}{b d n};1-\frac{1}{b d n};-e^{2 a d} \left(c x^n\right)^{2 b d}\right)}{x^2}-\frac{1}{2 x^2}",1,"Defer[Int][Tanh[d*(a + b*Log[c*x^n])]/x^3, x]","F",0,0,0,0,-1,"{}"
179,0,0,0,0.0857137,"\int x^3 \tanh ^2\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Int[x^3*Tanh[d*(a + b*Log[c*x^n])]^2,x]","\int x^3 \tanh ^2\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","-\frac{2 x^4 \, _2F_1\left(1,\frac{2}{b d n};1+\frac{2}{b d n};-e^{2 a d} \left(c x^n\right)^{2 b d}\right)}{b d n}+\frac{x^4 \left(1-e^{2 a d} \left(c x^n\right)^{2 b d}\right)}{b d n \left(e^{2 a d} \left(c x^n\right)^{2 b d}+1\right)}+\frac{1}{4} x^4 \left(\frac{4}{b d n}+1\right)",1,"Defer[Int][x^3*Tanh[d*(a + b*Log[c*x^n])]^2, x]","F",0,0,0,0,-1,"{}"
180,0,0,0,0.0603137,"\int x^2 \tanh ^2\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Int[x^2*Tanh[d*(a + b*Log[c*x^n])]^2,x]","\int x^2 \tanh ^2\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","-\frac{2 x^3 \, _2F_1\left(1,\frac{3}{2 b d n};1+\frac{3}{2 b d n};-e^{2 a d} \left(c x^n\right)^{2 b d}\right)}{b d n}+\frac{x^3 \left(1-e^{2 a d} \left(c x^n\right)^{2 b d}\right)}{b d n \left(e^{2 a d} \left(c x^n\right)^{2 b d}+1\right)}+\frac{1}{3} x^3 \left(\frac{3}{b d n}+1\right)",1,"Defer[Int][x^2*Tanh[d*(a + b*Log[c*x^n])]^2, x]","F",0,0,0,0,-1,"{}"
181,0,0,0,0.0427686,"\int x \tanh ^2\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Int[x*Tanh[d*(a + b*Log[c*x^n])]^2,x]","\int x \tanh ^2\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","-\frac{2 x^2 \, _2F_1\left(1,\frac{1}{b d n};1+\frac{1}{b d n};-e^{2 a d} \left(c x^n\right)^{2 b d}\right)}{b d n}+\frac{x^2 \left(1-e^{2 a d} \left(c x^n\right)^{2 b d}\right)}{b d n \left(e^{2 a d} \left(c x^n\right)^{2 b d}+1\right)}+\frac{1}{2} x^2 \left(\frac{2}{b d n}+1\right)",1,"Defer[Int][x*Tanh[d*(a + b*Log[c*x^n])]^2, x]","F",0,0,0,0,-1,"{}"
182,0,0,0,0.0138581,"\int \tanh ^2\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Int[Tanh[d*(a + b*Log[c*x^n])]^2,x]","\int \tanh ^2\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","-\frac{2 x \, _2F_1\left(1,\frac{1}{2 b d n};1+\frac{1}{2 b d n};-e^{2 a d} \left(c x^n\right)^{2 b d}\right)}{b d n}+\frac{x \left(1-e^{2 a d} \left(c x^n\right)^{2 b d}\right)}{b d n \left(e^{2 a d} \left(c x^n\right)^{2 b d}+1\right)}+x \left(\frac{1}{b d n}+1\right)",1,"Defer[Int][Tanh[d*(a + b*Log[c*x^n])]^2, x]","F",0,0,0,0,-1,"{}"
183,1,28,0,0.0290263,"\int \frac{\tanh ^2\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x} \, dx","Int[Tanh[d*(a + b*Log[c*x^n])]^2/x,x]","\log (x)-\frac{\tanh \left(a d+b d \log \left(c x^n\right)\right)}{b d n}","\log (x)-\frac{\tanh \left(a d+b d \log \left(c x^n\right)\right)}{b d n}",1,"Log[x] - Tanh[a*d + b*d*Log[c*x^n]]/(b*d*n)","A",3,2,19,0.1053,1,"{3473, 8}"
184,0,0,0,0.0523026,"\int \frac{\tanh ^2\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x^2} \, dx","Int[Tanh[d*(a + b*Log[c*x^n])]^2/x^2,x]","\int \frac{\tanh ^2\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x^2} \, dx","-\frac{2 \, _2F_1\left(1,-\frac{1}{2 b d n};1-\frac{1}{2 b d n};-e^{2 a d} \left(c x^n\right)^{2 b d}\right)}{b d n x}+\frac{1-e^{2 a d} \left(c x^n\right)^{2 b d}}{b d n x \left(e^{2 a d} \left(c x^n\right)^{2 b d}+1\right)}-\frac{1-\frac{1}{b d n}}{x}",1,"Defer[Int][Tanh[d*(a + b*Log[c*x^n])]^2/x^2, x]","F",0,0,0,0,-1,"{}"
185,0,0,0,0.0519386,"\int \frac{\tanh ^2\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x^3} \, dx","Int[Tanh[d*(a + b*Log[c*x^n])]^2/x^3,x]","\int \frac{\tanh ^2\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x^3} \, dx","-\frac{2 \, _2F_1\left(1,-\frac{1}{b d n};1-\frac{1}{b d n};-e^{2 a d} \left(c x^n\right)^{2 b d}\right)}{b d n x^2}+\frac{1-e^{2 a d} \left(c x^n\right)^{2 b d}}{b d n x^2 \left(e^{2 a d} \left(c x^n\right)^{2 b d}+1\right)}+\frac{2-b d n}{2 b d n x^2}",1,"Defer[Int][Tanh[d*(a + b*Log[c*x^n])]^2/x^3, x]","F",0,0,0,0,-1,"{}"
186,1,43,0,0.0406062,"\int \frac{\tanh ^3\left(a+b \log \left(c x^n\right)\right)}{x} \, dx","Int[Tanh[a + b*Log[c*x^n]]^3/x,x]","\frac{\log \left(\cosh \left(a+b \log \left(c x^n\right)\right)\right)}{b n}-\frac{\tanh ^2\left(a+b \log \left(c x^n\right)\right)}{2 b n}","\frac{\log \left(\cosh \left(a+b \log \left(c x^n\right)\right)\right)}{b n}-\frac{\tanh ^2\left(a+b \log \left(c x^n\right)\right)}{2 b n}",1,"Log[Cosh[a + b*Log[c*x^n]]]/(b*n) - Tanh[a + b*Log[c*x^n]]^2/(2*b*n)","A",3,2,17,0.1176,1,"{3473, 3475}"
187,1,45,0,0.0394355,"\int \frac{\tanh ^4\left(a+b \log \left(c x^n\right)\right)}{x} \, dx","Int[Tanh[a + b*Log[c*x^n]]^4/x,x]","-\frac{\tanh ^3\left(a+b \log \left(c x^n\right)\right)}{3 b n}-\frac{\tanh \left(a+b \log \left(c x^n\right)\right)}{b n}+\log (x)","-\frac{\tanh ^3\left(a+b \log \left(c x^n\right)\right)}{3 b n}-\frac{\tanh \left(a+b \log \left(c x^n\right)\right)}{b n}+\log (x)",1,"Log[x] - Tanh[a + b*Log[c*x^n]]/(b*n) - Tanh[a + b*Log[c*x^n]]^3/(3*b*n)","A",4,2,17,0.1176,1,"{3473, 8}"
188,1,66,0,0.0570094,"\int \frac{\tanh ^5\left(a+b \log \left(c x^n\right)\right)}{x} \, dx","Int[Tanh[a + b*Log[c*x^n]]^5/x,x]","-\frac{\tanh ^4\left(a+b \log \left(c x^n\right)\right)}{4 b n}-\frac{\tanh ^2\left(a+b \log \left(c x^n\right)\right)}{2 b n}+\frac{\log \left(\cosh \left(a+b \log \left(c x^n\right)\right)\right)}{b n}","-\frac{\tanh ^4\left(a+b \log \left(c x^n\right)\right)}{4 b n}-\frac{\tanh ^2\left(a+b \log \left(c x^n\right)\right)}{2 b n}+\frac{\log \left(\cosh \left(a+b \log \left(c x^n\right)\right)\right)}{b n}",1,"Log[Cosh[a + b*Log[c*x^n]]]/(b*n) - Tanh[a + b*Log[c*x^n]]^2/(2*b*n) - Tanh[a + b*Log[c*x^n]]^4/(4*b*n)","A",4,2,17,0.1176,1,"{3473, 3475}"
189,0,0,0,0.0464648,"\int (e x)^m \tanh \left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Int[(e*x)^m*Tanh[d*(a + b*Log[c*x^n])],x]","\int (e x)^m \tanh \left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","\frac{(e x)^{m+1}}{e (m+1)}-\frac{2 (e x)^{m+1} \, _2F_1\left(1,\frac{m+1}{2 b d n};\frac{m+1}{2 b d n}+1;-e^{2 a d} \left(c x^n\right)^{2 b d}\right)}{e (m+1)}",1,"Defer[Int][(e*x)^m*Tanh[d*(a + b*Log[c*x^n])], x]","F",0,0,0,0,-1,"{}"
190,0,0,0,0.0769626,"\int (e x)^m \tanh ^2\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Int[(e*x)^m*Tanh[d*(a + b*Log[c*x^n])]^2,x]","\int (e x)^m \tanh ^2\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","-\frac{2 (e x)^{m+1} \, _2F_1\left(1,\frac{m+1}{2 b d n};\frac{m+1}{2 b d n}+1;-e^{2 a d} \left(c x^n\right)^{2 b d}\right)}{b d e n}+\frac{(e x)^{m+1} \left(1-e^{2 a d} \left(c x^n\right)^{2 b d}\right)}{b d e n \left(e^{2 a d} \left(c x^n\right)^{2 b d}+1\right)}+\frac{(e x)^{m+1} (b d n+m+1)}{b d e (m+1) n}",1,"Defer[Int][(e*x)^m*Tanh[d*(a + b*Log[c*x^n])]^2, x]","F",0,0,0,0,-1,"{}"
191,0,0,0,0.071333,"\int (e x)^m \tanh ^3\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Int[(e*x)^m*Tanh[d*(a + b*Log[c*x^n])]^3,x]","\int (e x)^m \tanh ^3\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","-\frac{(e x)^{m+1} \left(2 b^2 d^2 n^2+m^2+2 m+1\right) \, _2F_1\left(1,\frac{m+1}{2 b d n};\frac{m+1}{2 b d n}+1;-e^{2 a d} \left(c x^n\right)^{2 b d}\right)}{b^2 d^2 e (m+1) n^2}+\frac{e^{-2 a d} (e x)^{m+1} \left(\frac{e^{2 a d} (-2 b d n+m+1)}{n}-\frac{e^{4 a d} (2 b d n+m+1) \left(c x^n\right)^{2 b d}}{n}\right)}{2 b^2 d^2 e n \left(e^{2 a d} \left(c x^n\right)^{2 b d}+1\right)}-\frac{(e x)^{m+1} \left(1-e^{2 a d} \left(c x^n\right)^{2 b d}\right)^2}{2 b d e n \left(e^{2 a d} \left(c x^n\right)^{2 b d}+1\right)^2}+\frac{(e x)^{m+1} (b d n+m+1) (2 b d n+m+1)}{2 b^2 d^2 e (m+1) n^2}",1,"Defer[Int][(e*x)^m*Tanh[d*(a + b*Log[c*x^n])]^3, x]","F",0,0,0,0,-1,"{}"
192,0,0,0,0.0143694,"\int \tanh ^p\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Int[Tanh[d*(a + b*Log[c*x^n])]^p,x]","\int \tanh ^p\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","x \left(1-e^{2 a d} \left(c x^n\right)^{2 b d}\right)^{-p} \left(e^{2 a d} \left(c x^n\right)^{2 b d}-1\right)^p F_1\left(\frac{1}{2 b d n};-p,p;1+\frac{1}{2 b d n};e^{2 a d} \left(c x^n\right)^{2 b d},-e^{2 a d} \left(c x^n\right)^{2 b d}\right)",1,"Defer[Int][Tanh[d*(a + b*Log[c*x^n])]^p, x]","F",0,0,0,0,-1,"{}"
193,0,0,0,0.0988439,"\int (e x)^m \tanh ^p\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Int[(e*x)^m*Tanh[d*(a + b*Log[c*x^n])]^p,x]","\int (e x)^m \tanh ^p\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","\frac{(e x)^{m+1} \left(1-e^{2 a d} \left(c x^n\right)^{2 b d}\right)^{-p} \left(e^{2 a d} \left(c x^n\right)^{2 b d}-1\right)^p F_1\left(\frac{m+1}{2 b d n};-p,p;\frac{m+1}{2 b d n}+1;e^{2 a d} \left(c x^n\right)^{2 b d},-e^{2 a d} \left(c x^n\right)^{2 b d}\right)}{e (m+1)}",1,"Defer[Int][(e*x)^m*Tanh[d*(a + b*Log[c*x^n])]^p, x]","F",0,0,0,0,-1,"{}"
194,1,73,0,0.0527211,"\int \frac{\tanh ^{\frac{5}{2}}\left(a+b \log \left(c x^n\right)\right)}{x} \, dx","Int[Tanh[a + b*Log[c*x^n]]^(5/2)/x,x]","-\frac{2 \tanh ^{\frac{3}{2}}\left(a+b \log \left(c x^n\right)\right)}{3 b n}+\frac{\tanh ^{-1}\left(\sqrt{\tanh \left(a+b \log \left(c x^n\right)\right)}\right)}{b n}-\frac{\tan ^{-1}\left(\sqrt{\tanh \left(a+b \log \left(c x^n\right)\right)}\right)}{b n}","-\frac{2 \tanh ^{\frac{3}{2}}\left(a+b \log \left(c x^n\right)\right)}{3 b n}+\frac{\tanh ^{-1}\left(\sqrt{\tanh \left(a+b \log \left(c x^n\right)\right)}\right)}{b n}-\frac{\tan ^{-1}\left(\sqrt{\tanh \left(a+b \log \left(c x^n\right)\right)}\right)}{b n}",1,"-(ArcTan[Sqrt[Tanh[a + b*Log[c*x^n]]]]/(b*n)) + ArcTanh[Sqrt[Tanh[a + b*Log[c*x^n]]]]/(b*n) - (2*Tanh[a + b*Log[c*x^n]]^(3/2))/(3*b*n)","A",7,6,19,0.3158,1,"{3473, 3476, 329, 298, 203, 206}"
195,1,70,0,0.0523155,"\int \frac{\tanh ^{\frac{3}{2}}\left(a+b \log \left(c x^n\right)\right)}{x} \, dx","Int[Tanh[a + b*Log[c*x^n]]^(3/2)/x,x]","\frac{\tanh ^{-1}\left(\sqrt{\tanh \left(a+b \log \left(c x^n\right)\right)}\right)}{b n}-\frac{2 \sqrt{\tanh \left(a+b \log \left(c x^n\right)\right)}}{b n}+\frac{\tan ^{-1}\left(\sqrt{\tanh \left(a+b \log \left(c x^n\right)\right)}\right)}{b n}","\frac{\tanh ^{-1}\left(\sqrt{\tanh \left(a+b \log \left(c x^n\right)\right)}\right)}{b n}-\frac{2 \sqrt{\tanh \left(a+b \log \left(c x^n\right)\right)}}{b n}+\frac{\tan ^{-1}\left(\sqrt{\tanh \left(a+b \log \left(c x^n\right)\right)}\right)}{b n}",1,"ArcTan[Sqrt[Tanh[a + b*Log[c*x^n]]]]/(b*n) + ArcTanh[Sqrt[Tanh[a + b*Log[c*x^n]]]]/(b*n) - (2*Sqrt[Tanh[a + b*Log[c*x^n]]])/(b*n)","A",7,6,19,0.3158,1,"{3473, 3476, 329, 212, 206, 203}"
196,1,48,0,0.04067,"\int \frac{\sqrt{\tanh \left(a+b \log \left(c x^n\right)\right)}}{x} \, dx","Int[Sqrt[Tanh[a + b*Log[c*x^n]]]/x,x]","\frac{\tanh ^{-1}\left(\sqrt{\tanh \left(a+b \log \left(c x^n\right)\right)}\right)}{b n}-\frac{\tan ^{-1}\left(\sqrt{\tanh \left(a+b \log \left(c x^n\right)\right)}\right)}{b n}","\frac{\tanh ^{-1}\left(\sqrt{\tanh \left(a+b \log \left(c x^n\right)\right)}\right)}{b n}-\frac{\tan ^{-1}\left(\sqrt{\tanh \left(a+b \log \left(c x^n\right)\right)}\right)}{b n}",1,"-(ArcTan[Sqrt[Tanh[a + b*Log[c*x^n]]]]/(b*n)) + ArcTanh[Sqrt[Tanh[a + b*Log[c*x^n]]]]/(b*n)","A",6,5,19,0.2632,1,"{3476, 329, 298, 203, 206}"
197,1,47,0,0.0398733,"\int \frac{1}{x \sqrt{\tanh \left(a+b \log \left(c x^n\right)\right)}} \, dx","Int[1/(x*Sqrt[Tanh[a + b*Log[c*x^n]]]),x]","\frac{\tanh ^{-1}\left(\sqrt{\tanh \left(a+b \log \left(c x^n\right)\right)}\right)}{b n}+\frac{\tan ^{-1}\left(\sqrt{\tanh \left(a+b \log \left(c x^n\right)\right)}\right)}{b n}","\frac{\tanh ^{-1}\left(\sqrt{\tanh \left(a+b \log \left(c x^n\right)\right)}\right)}{b n}+\frac{\tan ^{-1}\left(\sqrt{\tanh \left(a+b \log \left(c x^n\right)\right)}\right)}{b n}",1,"ArcTan[Sqrt[Tanh[a + b*Log[c*x^n]]]]/(b*n) + ArcTanh[Sqrt[Tanh[a + b*Log[c*x^n]]]]/(b*n)","A",6,5,19,0.2632,1,"{3476, 329, 212, 206, 203}"
198,1,71,0,0.0517119,"\int \frac{1}{x \tanh ^{\frac{3}{2}}\left(a+b \log \left(c x^n\right)\right)} \, dx","Int[1/(x*Tanh[a + b*Log[c*x^n]]^(3/2)),x]","\frac{\tanh ^{-1}\left(\sqrt{\tanh \left(a+b \log \left(c x^n\right)\right)}\right)}{b n}-\frac{2}{b n \sqrt{\tanh \left(a+b \log \left(c x^n\right)\right)}}-\frac{\tan ^{-1}\left(\sqrt{\tanh \left(a+b \log \left(c x^n\right)\right)}\right)}{b n}","\frac{\tanh ^{-1}\left(\sqrt{\tanh \left(a+b \log \left(c x^n\right)\right)}\right)}{b n}-\frac{2}{b n \sqrt{\tanh \left(a+b \log \left(c x^n\right)\right)}}-\frac{\tan ^{-1}\left(\sqrt{\tanh \left(a+b \log \left(c x^n\right)\right)}\right)}{b n}",1,"-(ArcTan[Sqrt[Tanh[a + b*Log[c*x^n]]]]/(b*n)) + ArcTanh[Sqrt[Tanh[a + b*Log[c*x^n]]]]/(b*n) - 2/(b*n*Sqrt[Tanh[a + b*Log[c*x^n]]])","A",7,6,19,0.3158,1,"{3474, 3476, 329, 298, 203, 206}"
199,1,72,0,0.0500082,"\int \frac{1}{x \tanh ^{\frac{5}{2}}\left(a+b \log \left(c x^n\right)\right)} \, dx","Int[1/(x*Tanh[a + b*Log[c*x^n]]^(5/2)),x]","\frac{\tanh ^{-1}\left(\sqrt{\tanh \left(a+b \log \left(c x^n\right)\right)}\right)}{b n}-\frac{2}{3 b n \tanh ^{\frac{3}{2}}\left(a+b \log \left(c x^n\right)\right)}+\frac{\tan ^{-1}\left(\sqrt{\tanh \left(a+b \log \left(c x^n\right)\right)}\right)}{b n}","\frac{\tanh ^{-1}\left(\sqrt{\tanh \left(a+b \log \left(c x^n\right)\right)}\right)}{b n}-\frac{2}{3 b n \tanh ^{\frac{3}{2}}\left(a+b \log \left(c x^n\right)\right)}+\frac{\tan ^{-1}\left(\sqrt{\tanh \left(a+b \log \left(c x^n\right)\right)}\right)}{b n}",1,"ArcTan[Sqrt[Tanh[a + b*Log[c*x^n]]]]/(b*n) + ArcTanh[Sqrt[Tanh[a + b*Log[c*x^n]]]]/(b*n) - 2/(3*b*n*Tanh[a + b*Log[c*x^n]]^(3/2))","A",7,6,19,0.3158,1,"{3474, 3476, 329, 212, 206, 203}"
200,1,135,0,0.3583655,"\int \frac{\tanh ^5(x)}{\sqrt{a+b \tanh ^2(x)+c \tanh ^4(x)}} \, dx","Int[Tanh[x]^5/Sqrt[a + b*Tanh[x]^2 + c*Tanh[x]^4],x]","\frac{(b-2 c) \tanh ^{-1}\left(\frac{b+2 c \tanh ^2(x)}{2 \sqrt{c} \sqrt{a+b \tanh ^2(x)+c \tanh ^4(x)}}\right)}{4 c^{3/2}}+\frac{\tanh ^{-1}\left(\frac{2 a+(b+2 c) \tanh ^2(x)+b}{2 \sqrt{a+b+c} \sqrt{a+b \tanh ^2(x)+c \tanh ^4(x)}}\right)}{2 \sqrt{a+b+c}}-\frac{\sqrt{a+b \tanh ^2(x)+c \tanh ^4(x)}}{2 c}","\frac{(b-2 c) \tanh ^{-1}\left(\frac{b+2 c \tanh ^2(x)}{2 \sqrt{c} \sqrt{a+b \tanh ^2(x)+c \tanh ^4(x)}}\right)}{4 c^{3/2}}+\frac{\tanh ^{-1}\left(\frac{2 a+(b+2 c) \tanh ^2(x)+b}{2 \sqrt{a+b+c} \sqrt{a+b \tanh ^2(x)+c \tanh ^4(x)}}\right)}{2 \sqrt{a+b+c}}-\frac{\sqrt{a+b \tanh ^2(x)+c \tanh ^4(x)}}{2 c}",1,"((b - 2*c)*ArcTanh[(b + 2*c*Tanh[x]^2)/(2*Sqrt[c]*Sqrt[a + b*Tanh[x]^2 + c*Tanh[x]^4])])/(4*c^(3/2)) + ArcTanh[(2*a + b + (b + 2*c)*Tanh[x]^2)/(2*Sqrt[a + b + c]*Sqrt[a + b*Tanh[x]^2 + c*Tanh[x]^4])]/(2*Sqrt[a + b + c]) - Sqrt[a + b*Tanh[x]^2 + c*Tanh[x]^4]/(2*c)","A",8,7,23,0.3043,1,"{3700, 1251, 1653, 843, 621, 206, 724}"
201,1,105,0,0.2251963,"\int \frac{\tanh ^3(x)}{\sqrt{a+b \tanh ^2(x)+c \tanh ^4(x)}} \, dx","Int[Tanh[x]^3/Sqrt[a + b*Tanh[x]^2 + c*Tanh[x]^4],x]","\frac{\tanh ^{-1}\left(\frac{2 a+(b+2 c) \tanh ^2(x)+b}{2 \sqrt{a+b+c} \sqrt{a+b \tanh ^2(x)+c \tanh ^4(x)}}\right)}{2 \sqrt{a+b+c}}-\frac{\tanh ^{-1}\left(\frac{b+2 c \tanh ^2(x)}{2 \sqrt{c} \sqrt{a+b \tanh ^2(x)+c \tanh ^4(x)}}\right)}{2 \sqrt{c}}","\frac{\tanh ^{-1}\left(\frac{2 a+(b+2 c) \tanh ^2(x)+b}{2 \sqrt{a+b+c} \sqrt{a+b \tanh ^2(x)+c \tanh ^4(x)}}\right)}{2 \sqrt{a+b+c}}-\frac{\tanh ^{-1}\left(\frac{b+2 c \tanh ^2(x)}{2 \sqrt{c} \sqrt{a+b \tanh ^2(x)+c \tanh ^4(x)}}\right)}{2 \sqrt{c}}",1,"-ArcTanh[(b + 2*c*Tanh[x]^2)/(2*Sqrt[c]*Sqrt[a + b*Tanh[x]^2 + c*Tanh[x]^4])]/(2*Sqrt[c]) + ArcTanh[(2*a + b + (b + 2*c)*Tanh[x]^2)/(2*Sqrt[a + b + c]*Sqrt[a + b*Tanh[x]^2 + c*Tanh[x]^4])]/(2*Sqrt[a + b + c])","A",7,6,23,0.2609,1,"{3700, 1251, 843, 621, 206, 724}"
202,1,58,0,0.1200542,"\int \frac{\tanh (x)}{\sqrt{a+b \tanh ^2(x)+c \tanh ^4(x)}} \, dx","Int[Tanh[x]/Sqrt[a + b*Tanh[x]^2 + c*Tanh[x]^4],x]","\frac{\tanh ^{-1}\left(\frac{2 a+(b+2 c) \tanh ^2(x)+b}{2 \sqrt{a+b+c} \sqrt{a+b \tanh ^2(x)+c \tanh ^4(x)}}\right)}{2 \sqrt{a+b+c}}","\frac{\tanh ^{-1}\left(\frac{2 a+(b+2 c) \tanh ^2(x)+b}{2 \sqrt{a+b+c} \sqrt{a+b \tanh ^2(x)+c \tanh ^4(x)}}\right)}{2 \sqrt{a+b+c}}",1,"ArcTanh[(2*a + b + (b + 2*c)*Tanh[x]^2)/(2*Sqrt[a + b + c]*Sqrt[a + b*Tanh[x]^2 + c*Tanh[x]^4])]/(2*Sqrt[a + b + c])","A",4,4,21,0.1905,1,"{3700, 1247, 724, 206}"
203,1,106,0,0.2489588,"\int \frac{\coth (x)}{\sqrt{a+b \tanh ^2(x)+c \tanh ^4(x)}} \, dx","Int[Coth[x]/Sqrt[a + b*Tanh[x]^2 + c*Tanh[x]^4],x]","\frac{\tanh ^{-1}\left(\frac{2 a+(b+2 c) \tanh ^2(x)+b}{2 \sqrt{a+b+c} \sqrt{a+b \tanh ^2(x)+c \tanh ^4(x)}}\right)}{2 \sqrt{a+b+c}}-\frac{\tanh ^{-1}\left(\frac{2 a+b \tanh ^2(x)}{2 \sqrt{a} \sqrt{a+b \tanh ^2(x)+c \tanh ^4(x)}}\right)}{2 \sqrt{a}}","\frac{\tanh ^{-1}\left(\frac{2 a+(b+2 c) \tanh ^2(x)+b}{2 \sqrt{a+b+c} \sqrt{a+b \tanh ^2(x)+c \tanh ^4(x)}}\right)}{2 \sqrt{a+b+c}}-\frac{\tanh ^{-1}\left(\frac{2 a+b \tanh ^2(x)}{2 \sqrt{a} \sqrt{a+b \tanh ^2(x)+c \tanh ^4(x)}}\right)}{2 \sqrt{a}}",1,"-ArcTanh[(2*a + b*Tanh[x]^2)/(2*Sqrt[a]*Sqrt[a + b*Tanh[x]^2 + c*Tanh[x]^4])]/(2*Sqrt[a]) + ArcTanh[(2*a + b + (b + 2*c)*Tanh[x]^2)/(2*Sqrt[a + b + c]*Sqrt[a + b*Tanh[x]^2 + c*Tanh[x]^4])]/(2*Sqrt[a + b + c])","A",8,5,21,0.2381,1,"{3700, 1251, 960, 724, 206}"
204,1,183,0,0.3371848,"\int \frac{\coth ^3(x)}{\sqrt{a+b \tanh ^2(x)+c \tanh ^4(x)}} \, dx","Int[Coth[x]^3/Sqrt[a + b*Tanh[x]^2 + c*Tanh[x]^4],x]","\frac{b \tanh ^{-1}\left(\frac{2 a+b \tanh ^2(x)}{2 \sqrt{a} \sqrt{a+b \tanh ^2(x)+c \tanh ^4(x)}}\right)}{4 a^{3/2}}-\frac{\tanh ^{-1}\left(\frac{2 a+b \tanh ^2(x)}{2 \sqrt{a} \sqrt{a+b \tanh ^2(x)+c \tanh ^4(x)}}\right)}{2 \sqrt{a}}+\frac{\tanh ^{-1}\left(\frac{2 a+(b+2 c) \tanh ^2(x)+b}{2 \sqrt{a+b+c} \sqrt{a+b \tanh ^2(x)+c \tanh ^4(x)}}\right)}{2 \sqrt{a+b+c}}-\frac{\coth ^2(x) \sqrt{a+b \tanh ^2(x)+c \tanh ^4(x)}}{2 a}","\frac{b \tanh ^{-1}\left(\frac{2 a+b \tanh ^2(x)}{2 \sqrt{a} \sqrt{a+b \tanh ^2(x)+c \tanh ^4(x)}}\right)}{4 a^{3/2}}-\frac{\tanh ^{-1}\left(\frac{2 a+b \tanh ^2(x)}{2 \sqrt{a} \sqrt{a+b \tanh ^2(x)+c \tanh ^4(x)}}\right)}{2 \sqrt{a}}+\frac{\tanh ^{-1}\left(\frac{2 a+(b+2 c) \tanh ^2(x)+b}{2 \sqrt{a+b+c} \sqrt{a+b \tanh ^2(x)+c \tanh ^4(x)}}\right)}{2 \sqrt{a+b+c}}-\frac{\coth ^2(x) \sqrt{a+b \tanh ^2(x)+c \tanh ^4(x)}}{2 a}",1,"-ArcTanh[(2*a + b*Tanh[x]^2)/(2*Sqrt[a]*Sqrt[a + b*Tanh[x]^2 + c*Tanh[x]^4])]/(2*Sqrt[a]) + (b*ArcTanh[(2*a + b*Tanh[x]^2)/(2*Sqrt[a]*Sqrt[a + b*Tanh[x]^2 + c*Tanh[x]^4])])/(4*a^(3/2)) + ArcTanh[(2*a + b + (b + 2*c)*Tanh[x]^2)/(2*Sqrt[a + b + c]*Sqrt[a + b*Tanh[x]^2 + c*Tanh[x]^4])]/(2*Sqrt[a + b + c]) - (Coth[x]^2*Sqrt[a + b*Tanh[x]^2 + c*Tanh[x]^4])/(2*a)","A",11,6,23,0.2609,1,"{3700, 1251, 960, 730, 724, 206}"
205,1,132,0,0.2310612,"\int \tanh (x) \sqrt{a+b \tanh ^2(x)+c \tanh ^4(x)} \, dx","Int[Tanh[x]*Sqrt[a + b*Tanh[x]^2 + c*Tanh[x]^4],x]","-\frac{(b+2 c) \tanh ^{-1}\left(\frac{b+2 c \tanh ^2(x)}{2 \sqrt{c} \sqrt{a+b \tanh ^2(x)+c \tanh ^4(x)}}\right)}{4 \sqrt{c}}+\frac{1}{2} \sqrt{a+b+c} \tanh ^{-1}\left(\frac{2 a+(b+2 c) \tanh ^2(x)+b}{2 \sqrt{a+b+c} \sqrt{a+b \tanh ^2(x)+c \tanh ^4(x)}}\right)-\frac{1}{2} \sqrt{a+b \tanh ^2(x)+c \tanh ^4(x)}","-\frac{(b+2 c) \tanh ^{-1}\left(\frac{b+2 c \tanh ^2(x)}{2 \sqrt{c} \sqrt{a+b \tanh ^2(x)+c \tanh ^4(x)}}\right)}{4 \sqrt{c}}+\frac{1}{2} \sqrt{a+b+c} \tanh ^{-1}\left(\frac{2 a+(b+2 c) \tanh ^2(x)+b}{2 \sqrt{a+b+c} \sqrt{a+b \tanh ^2(x)+c \tanh ^4(x)}}\right)-\frac{1}{2} \sqrt{a+b \tanh ^2(x)+c \tanh ^4(x)}",1,"-((b + 2*c)*ArcTanh[(b + 2*c*Tanh[x]^2)/(2*Sqrt[c]*Sqrt[a + b*Tanh[x]^2 + c*Tanh[x]^4])])/(4*Sqrt[c]) + (Sqrt[a + b + c]*ArcTanh[(2*a + b + (b + 2*c)*Tanh[x]^2)/(2*Sqrt[a + b + c]*Sqrt[a + b*Tanh[x]^2 + c*Tanh[x]^4])])/2 - Sqrt[a + b*Tanh[x]^2 + c*Tanh[x]^4]/2","A",8,7,21,0.3333,1,"{3700, 1247, 734, 843, 621, 206, 724}"
206,1,107,0,0.0685635,"\int e^{a+b x} \tanh ^4(a+b x) \, dx","Int[E^(a + b*x)*Tanh[a + b*x]^4,x]","\frac{e^{a+b x}}{b}+\frac{5 e^{a+b x}}{b \left(e^{2 a+2 b x}+1\right)}-\frac{14 e^{a+b x}}{3 b \left(e^{2 a+2 b x}+1\right)^2}+\frac{8 e^{a+b x}}{3 b \left(e^{2 a+2 b x}+1\right)^3}-\frac{3 \tan ^{-1}\left(e^{a+b x}\right)}{b}","\frac{e^{a+b x}}{b}+\frac{5 e^{a+b x}}{b \left(e^{2 a+2 b x}+1\right)}-\frac{14 e^{a+b x}}{3 b \left(e^{2 a+2 b x}+1\right)^2}+\frac{8 e^{a+b x}}{3 b \left(e^{2 a+2 b x}+1\right)^3}-\frac{3 \tan ^{-1}\left(e^{a+b x}\right)}{b}",1,"E^(a + b*x)/b + (8*E^(a + b*x))/(3*b*(1 + E^(2*a + 2*b*x))^3) - (14*E^(a + b*x))/(3*b*(1 + E^(2*a + 2*b*x))^2) + (5*E^(a + b*x))/(b*(1 + E^(2*a + 2*b*x))) - (3*ArcTan[E^(a + b*x)])/b","A",7,6,16,0.3750,1,"{2282, 390, 1258, 1157, 385, 203}"
207,1,77,0,0.0498214,"\int e^{a+b x} \tanh ^3(a+b x) \, dx","Int[E^(a + b*x)*Tanh[a + b*x]^3,x]","\frac{e^{a+b x}}{b}+\frac{3 e^{a+b x}}{b \left(e^{2 a+2 b x}+1\right)}-\frac{2 e^{a+b x}}{b \left(e^{2 a+2 b x}+1\right)^2}-\frac{3 \tan ^{-1}\left(e^{a+b x}\right)}{b}","\frac{e^{a+b x}}{b}+\frac{3 e^{a+b x}}{b \left(e^{2 a+2 b x}+1\right)}-\frac{2 e^{a+b x}}{b \left(e^{2 a+2 b x}+1\right)^2}-\frac{3 \tan ^{-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*ArcTan[E^(a + b*x)])/b","A",7,6,16,0.3750,1,"{2282, 390, 1158, 12, 288, 203}"
208,1,51,0,0.0349531,"\int e^{a+b x} \tanh ^2(a+b x) \, dx","Int[E^(a + b*x)*Tanh[a + b*x]^2,x]","\frac{e^{a+b x}}{b}+\frac{2 e^{a+b x}}{b \left(e^{2 a+2 b x}+1\right)}-\frac{2 \tan ^{-1}\left(e^{a+b x}\right)}{b}","\frac{e^{a+b x}}{b}+\frac{2 e^{a+b x}}{b \left(e^{2 a+2 b x}+1\right)}-\frac{2 \tan ^{-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*ArcTan[E^(a + b*x)])/b","A",5,4,16,0.2500,1,"{2282, 390, 288, 203}"
209,1,25,0,0.0148009,"\int e^{a+b x} \tanh (a+b x) \, dx","Int[E^(a + b*x)*Tanh[a + b*x],x]","\frac{e^{a+b x}}{b}-\frac{2 \tan ^{-1}\left(e^{a+b x}\right)}{b}","\frac{e^{a+b x}}{b}-\frac{2 \tan ^{-1}\left(e^{a+b x}\right)}{b}",1,"E^(a + b*x)/b - (2*ArcTan[E^(a + b*x)])/b","A",3,3,14,0.2143,1,"{2282, 388, 203}"
210,1,25,0,0.0168253,"\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}"
211,1,53,0,0.0377712,"\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}"
212,1,81,0,0.0519935,"\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}"
213,1,113,0,0.0716714,"\int e^{a+b x} \coth ^4(a+b x) \, dx","Int[E^(a + b*x)*Coth[a + b*x]^4,x]","\frac{e^{a+b x}}{b}+\frac{5 e^{a+b x}}{b \left(1-e^{2 a+2 b x}\right)}-\frac{14 e^{a+b x}}{3 b \left(1-e^{2 a+2 b x}\right)^2}+\frac{8 e^{a+b x}}{3 b \left(1-e^{2 a+2 b x}\right)^3}-\frac{3 \tanh ^{-1}\left(e^{a+b x}\right)}{b}","\frac{e^{a+b x}}{b}+\frac{5 e^{a+b x}}{b \left(1-e^{2 a+2 b x}\right)}-\frac{14 e^{a+b x}}{3 b \left(1-e^{2 a+2 b x}\right)^2}+\frac{8 e^{a+b x}}{3 b \left(1-e^{2 a+2 b x}\right)^3}-\frac{3 \tanh ^{-1}\left(e^{a+b x}\right)}{b}",1,"E^(a + b*x)/b + (8*E^(a + b*x))/(3*b*(1 - E^(2*a + 2*b*x))^3) - (14*E^(a + b*x))/(3*b*(1 - E^(2*a + 2*b*x))^2) + (5*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, 1258, 1157, 385, 206}"
214,1,113,0,0.0871351,"\int e^x \tanh ^2(2 x) \, dx","Int[E^x*Tanh[2*x]^2,x]","e^x+\frac{e^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}}","e^x+\frac{e^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^x + E^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",13,9,10,0.9000,1,"{2282, 390, 288, 211, 1165, 628, 1162, 617, 204}"
215,1,95,0,0.0620859,"\int e^x \tanh (2 x) \, dx","Int[E^x*Tanh[2*x],x]","e^x+\frac{\log \left(-\sqrt{2} e^x+e^{2 x}+1\right)}{2 \sqrt{2}}-\frac{\log \left(\sqrt{2} e^x+e^{2 x}+1\right)}{2 \sqrt{2}}+\frac{\tan ^{-1}\left(1-\sqrt{2} e^x\right)}{\sqrt{2}}-\frac{\tan ^{-1}\left(\sqrt{2} e^x+1\right)}{\sqrt{2}}","e^x+\frac{\log \left(-\sqrt{2} e^x+e^{2 x}+1\right)}{2 \sqrt{2}}-\frac{\log \left(\sqrt{2} e^x+e^{2 x}+1\right)}{2 \sqrt{2}}+\frac{\tan ^{-1}\left(1-\sqrt{2} e^x\right)}{\sqrt{2}}-\frac{\tan ^{-1}\left(\sqrt{2} e^x+1\right)}{\sqrt{2}}",1,"E^x + ArcTan[1 - Sqrt[2]*E^x]/Sqrt[2] - ArcTan[1 + Sqrt[2]*E^x]/Sqrt[2] + Log[1 - Sqrt[2]*E^x + E^(2*x)]/(2*Sqrt[2]) - Log[1 + Sqrt[2]*E^x + E^(2*x)]/(2*Sqrt[2])","A",11,8,8,1.000,1,"{2282, 388, 211, 1165, 628, 1162, 617, 204}"
216,1,16,0,0.0141921,"\int e^x \coth (2 x) \, dx","Int[E^x*Coth[2*x],x]","e^x-\tan ^{-1}\left(e^x\right)-\tanh ^{-1}\left(e^x\right)","e^x-\tan ^{-1}\left(e^x\right)-\tanh ^{-1}\left(e^x\right)",1,"E^x - ArcTan[E^x] - ArcTanh[E^x]","A",5,5,8,0.6250,1,"{2282, 388, 212, 206, 203}"
217,1,35,0,0.028648,"\int e^x \coth ^2(2 x) \, dx","Int[E^x*Coth[2*x]^2,x]","e^x+\frac{e^x}{1-e^{4 x}}-\frac{1}{2} \tan ^{-1}\left(e^x\right)-\frac{1}{2} \tanh ^{-1}\left(e^x\right)","e^x+\frac{e^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^x + E^x/(1 - E^(4*x)) - ArcTan[E^x]/2 - ArcTanh[E^x]/2","A",7,6,10,0.6000,1,"{2282, 390, 288, 212, 206, 203}"
218,1,113,0,0.2123232,"\int e^x \tanh ^2(3 x) \, dx","Int[E^x*Tanh[3*x]^2,x]","e^x+\frac{2 e^x}{3 \left(e^{6 x}+1\right)}+\frac{\log \left(-\sqrt{3} e^x+e^{2 x}+1\right)}{6 \sqrt{3}}-\frac{\log \left(\sqrt{3} e^x+e^{2 x}+1\right)}{6 \sqrt{3}}-\frac{2}{9} \tan ^{-1}\left(e^x\right)+\frac{1}{9} \tan ^{-1}\left(\sqrt{3}-2 e^x\right)-\frac{1}{9} \tan ^{-1}\left(2 e^x+\sqrt{3}\right)","e^x+\frac{2 e^x}{3 \left(e^{6 x}+1\right)}+\frac{\log \left(-\sqrt{3} e^x+e^{2 x}+1\right)}{6 \sqrt{3}}-\frac{\log \left(\sqrt{3} e^x+e^{2 x}+1\right)}{6 \sqrt{3}}-\frac{2}{9} \tan ^{-1}\left(e^x\right)+\frac{1}{9} \tan ^{-1}\left(\sqrt{3}-2 e^x\right)-\frac{1}{9} \tan ^{-1}\left(2 e^x+\sqrt{3}\right)",1,"E^x + (2*E^x)/(3*(1 + E^(6*x))) - (2*ArcTan[E^x])/9 + ArcTan[Sqrt[3] - 2*E^x]/9 - ArcTan[Sqrt[3] + 2*E^x]/9 + Log[1 - Sqrt[3]*E^x + E^(2*x)]/(6*Sqrt[3]) - Log[1 + Sqrt[3]*E^x + E^(2*x)]/(6*Sqrt[3])","A",14,9,10,0.9000,1,"{2282, 390, 288, 209, 634, 618, 204, 628, 203}"
219,1,97,0,0.1863012,"\int e^x \tanh (3 x) \, dx","Int[E^x*Tanh[3*x],x]","e^x+\frac{\log \left(-\sqrt{3} e^x+e^{2 x}+1\right)}{2 \sqrt{3}}-\frac{\log \left(\sqrt{3} e^x+e^{2 x}+1\right)}{2 \sqrt{3}}-\frac{2}{3} \tan ^{-1}\left(e^x\right)+\frac{1}{3} \tan ^{-1}\left(\sqrt{3}-2 e^x\right)-\frac{1}{3} \tan ^{-1}\left(2 e^x+\sqrt{3}\right)","e^x+\frac{\log \left(-\sqrt{3} e^x+e^{2 x}+1\right)}{2 \sqrt{3}}-\frac{\log \left(\sqrt{3} e^x+e^{2 x}+1\right)}{2 \sqrt{3}}-\frac{2}{3} \tan ^{-1}\left(e^x\right)+\frac{1}{3} \tan ^{-1}\left(\sqrt{3}-2 e^x\right)-\frac{1}{3} \tan ^{-1}\left(2 e^x+\sqrt{3}\right)",1,"E^x - (2*ArcTan[E^x])/3 + ArcTan[Sqrt[3] - 2*E^x]/3 - ArcTan[Sqrt[3] + 2*E^x]/3 + Log[1 - Sqrt[3]*E^x + E^(2*x)]/(2*Sqrt[3]) - Log[1 + Sqrt[3]*E^x + E^(2*x)]/(2*Sqrt[3])","A",12,8,8,1.000,1,"{2282, 388, 209, 634, 618, 204, 628, 203}"
220,1,85,0,0.1223852,"\int e^x \coth (3 x) \, dx","Int[E^x*Coth[3*x],x]","e^x+\frac{1}{6} \log \left(-e^x+e^{2 x}+1\right)-\frac{1}{6} \log \left(e^x+e^{2 x}+1\right)+\frac{\tan ^{-1}\left(\frac{1-2 e^x}{\sqrt{3}}\right)}{\sqrt{3}}-\frac{\tan ^{-1}\left(\frac{2 e^x+1}{\sqrt{3}}\right)}{\sqrt{3}}-\frac{2}{3} \tanh ^{-1}\left(e^x\right)","e^x+\frac{1}{6} \log \left(-e^x+e^{2 x}+1\right)-\frac{1}{6} \log \left(e^x+e^{2 x}+1\right)+\frac{\tan ^{-1}\left(\frac{1-2 e^x}{\sqrt{3}}\right)}{\sqrt{3}}-\frac{\tan ^{-1}\left(\frac{2 e^x+1}{\sqrt{3}}\right)}{\sqrt{3}}-\frac{2}{3} \tanh ^{-1}\left(e^x\right)",1,"E^x + ArcTan[(1 - 2*E^x)/Sqrt[3]]/Sqrt[3] - ArcTan[(1 + 2*E^x)/Sqrt[3]]/Sqrt[3] - (2*ArcTanh[E^x])/3 + Log[1 - E^x + E^(2*x)]/6 - Log[1 + E^x + E^(2*x)]/6","A",12,8,8,1.000,1,"{2282, 388, 210, 634, 618, 204, 628, 206}"
221,1,108,0,0.1468511,"\int e^x \coth ^2(3 x) \, dx","Int[E^x*Coth[3*x]^2,x]","e^x+\frac{2 e^x}{3 \left(1-e^{6 x}\right)}+\frac{1}{18} \log \left(-e^x+e^{2 x}+1\right)-\frac{1}{18} \log \left(e^x+e^{2 x}+1\right)+\frac{\tan ^{-1}\left(\frac{1-2 e^x}{\sqrt{3}}\right)}{3 \sqrt{3}}-\frac{\tan ^{-1}\left(\frac{2 e^x+1}{\sqrt{3}}\right)}{3 \sqrt{3}}-\frac{2}{9} \tanh ^{-1}\left(e^x\right)","e^x+\frac{2 e^x}{3 \left(1-e^{6 x}\right)}+\frac{1}{18} \log \left(-e^x+e^{2 x}+1\right)-\frac{1}{18} \log \left(e^x+e^{2 x}+1\right)+\frac{\tan ^{-1}\left(\frac{1-2 e^x}{\sqrt{3}}\right)}{3 \sqrt{3}}-\frac{\tan ^{-1}\left(\frac{2 e^x+1}{\sqrt{3}}\right)}{3 \sqrt{3}}-\frac{2}{9} \tanh ^{-1}\left(e^x\right)",1,"E^x + (2*E^x)/(3*(1 - E^(6*x))) + ArcTan[(1 - 2*E^x)/Sqrt[3]]/(3*Sqrt[3]) - ArcTan[(1 + 2*E^x)/Sqrt[3]]/(3*Sqrt[3]) - (2*ArcTanh[E^x])/9 + Log[1 - E^x + E^(2*x)]/18 - Log[1 + E^x + E^(2*x)]/18","A",14,9,10,0.9000,1,"{2282, 390, 288, 210, 634, 618, 204, 628, 206}"
222,1,382,0,0.4050601,"\int e^x \tanh ^2(4 x) \, dx","Int[E^x*Tanh[4*x]^2,x]","e^x+\frac{e^x}{2 \left(e^{8 x}+1\right)}+\frac{1}{32} \sqrt{2-\sqrt{2}} \log \left(-\sqrt{2-\sqrt{2}} e^x+e^{2 x}+1\right)-\frac{1}{32} \sqrt{2-\sqrt{2}} \log \left(\sqrt{2-\sqrt{2}} e^x+e^{2 x}+1\right)+\frac{1}{32} \sqrt{2+\sqrt{2}} \log \left(-\sqrt{2+\sqrt{2}} e^x+e^{2 x}+1\right)-\frac{1}{32} \sqrt{2+\sqrt{2}} \log \left(\sqrt{2+\sqrt{2}} e^x+e^{2 x}+1\right)+\frac{\tan ^{-1}\left(\frac{\sqrt{2-\sqrt{2}}-2 e^x}{\sqrt{2+\sqrt{2}}}\right)}{8 \sqrt{2 \left(2-\sqrt{2}\right)}}+\frac{\tan ^{-1}\left(\frac{\sqrt{2+\sqrt{2}}-2 e^x}{\sqrt{2-\sqrt{2}}}\right)}{8 \sqrt{2 \left(2+\sqrt{2}\right)}}-\frac{\tan ^{-1}\left(\frac{2 e^x+\sqrt{2-\sqrt{2}}}{\sqrt{2+\sqrt{2}}}\right)}{8 \sqrt{2 \left(2-\sqrt{2}\right)}}-\frac{\tan ^{-1}\left(\frac{2 e^x+\sqrt{2+\sqrt{2}}}{\sqrt{2-\sqrt{2}}}\right)}{8 \sqrt{2 \left(2+\sqrt{2}\right)}}","e^x+\frac{e^x}{2 \left(e^{8 x}+1\right)}+\frac{1}{32} \sqrt{2-\sqrt{2}} \log \left(-\sqrt{2-\sqrt{2}} e^x+e^{2 x}+1\right)-\frac{1}{32} \sqrt{2-\sqrt{2}} \log \left(\sqrt{2-\sqrt{2}} e^x+e^{2 x}+1\right)+\frac{1}{32} \sqrt{2+\sqrt{2}} \log \left(-\sqrt{2+\sqrt{2}} e^x+e^{2 x}+1\right)-\frac{1}{32} \sqrt{2+\sqrt{2}} \log \left(\sqrt{2+\sqrt{2}} e^x+e^{2 x}+1\right)+\frac{\tan ^{-1}\left(\frac{\sqrt{2-\sqrt{2}}-2 e^x}{\sqrt{2+\sqrt{2}}}\right)}{8 \sqrt{2 \left(2-\sqrt{2}\right)}}+\frac{\tan ^{-1}\left(\frac{\sqrt{2+\sqrt{2}}-2 e^x}{\sqrt{2-\sqrt{2}}}\right)}{8 \sqrt{2 \left(2+\sqrt{2}\right)}}-\frac{\tan ^{-1}\left(\frac{2 e^x+\sqrt{2-\sqrt{2}}}{\sqrt{2+\sqrt{2}}}\right)}{8 \sqrt{2 \left(2-\sqrt{2}\right)}}-\frac{\tan ^{-1}\left(\frac{2 e^x+\sqrt{2+\sqrt{2}}}{\sqrt{2-\sqrt{2}}}\right)}{8 \sqrt{2 \left(2+\sqrt{2}\right)}}",1,"E^x + E^x/(2*(1 + E^(8*x))) + ArcTan[(Sqrt[2 - Sqrt[2]] - 2*E^x)/Sqrt[2 + Sqrt[2]]]/(8*Sqrt[2*(2 - Sqrt[2])]) + ArcTan[(Sqrt[2 + Sqrt[2]] - 2*E^x)/Sqrt[2 - Sqrt[2]]]/(8*Sqrt[2*(2 + Sqrt[2])]) - ArcTan[(Sqrt[2 - Sqrt[2]] + 2*E^x)/Sqrt[2 + Sqrt[2]]]/(8*Sqrt[2*(2 - Sqrt[2])]) - ArcTan[(Sqrt[2 + Sqrt[2]] + 2*E^x)/Sqrt[2 - Sqrt[2]]]/(8*Sqrt[2*(2 + Sqrt[2])]) + (Sqrt[2 - Sqrt[2]]*Log[1 - Sqrt[2 - Sqrt[2]]*E^x + E^(2*x)])/32 - (Sqrt[2 - Sqrt[2]]*Log[1 + Sqrt[2 - Sqrt[2]]*E^x + E^(2*x)])/32 + (Sqrt[2 + Sqrt[2]]*Log[1 - Sqrt[2 + Sqrt[2]]*E^x + E^(2*x)])/32 - (Sqrt[2 + Sqrt[2]]*Log[1 + Sqrt[2 + Sqrt[2]]*E^x + E^(2*x)])/32","A",23,9,10,0.9000,1,"{2282, 390, 288, 213, 1169, 634, 618, 204, 628}"
223,1,366,0,0.2441669,"\int e^x \tanh (4 x) \, dx","Int[E^x*Tanh[4*x],x]","e^x+\frac{1}{8} \sqrt{2-\sqrt{2}} \log \left(-\sqrt{2-\sqrt{2}} e^x+e^{2 x}+1\right)-\frac{1}{8} \sqrt{2-\sqrt{2}} \log \left(\sqrt{2-\sqrt{2}} e^x+e^{2 x}+1\right)+\frac{1}{8} \sqrt{2+\sqrt{2}} \log \left(-\sqrt{2+\sqrt{2}} e^x+e^{2 x}+1\right)-\frac{1}{8} \sqrt{2+\sqrt{2}} \log \left(\sqrt{2+\sqrt{2}} e^x+e^{2 x}+1\right)+\frac{\tan ^{-1}\left(\frac{\sqrt{2-\sqrt{2}}-2 e^x}{\sqrt{2+\sqrt{2}}}\right)}{2 \sqrt{2 \left(2-\sqrt{2}\right)}}+\frac{\tan ^{-1}\left(\frac{\sqrt{2+\sqrt{2}}-2 e^x}{\sqrt{2-\sqrt{2}}}\right)}{2 \sqrt{2 \left(2+\sqrt{2}\right)}}-\frac{\tan ^{-1}\left(\frac{2 e^x+\sqrt{2-\sqrt{2}}}{\sqrt{2+\sqrt{2}}}\right)}{2 \sqrt{2 \left(2-\sqrt{2}\right)}}-\frac{\tan ^{-1}\left(\frac{2 e^x+\sqrt{2+\sqrt{2}}}{\sqrt{2-\sqrt{2}}}\right)}{2 \sqrt{2 \left(2+\sqrt{2}\right)}}","e^x+\frac{1}{8} \sqrt{2-\sqrt{2}} \log \left(-\sqrt{2-\sqrt{2}} e^x+e^{2 x}+1\right)-\frac{1}{8} \sqrt{2-\sqrt{2}} \log \left(\sqrt{2-\sqrt{2}} e^x+e^{2 x}+1\right)+\frac{1}{8} \sqrt{2+\sqrt{2}} \log \left(-\sqrt{2+\sqrt{2}} e^x+e^{2 x}+1\right)-\frac{1}{8} \sqrt{2+\sqrt{2}} \log \left(\sqrt{2+\sqrt{2}} e^x+e^{2 x}+1\right)+\frac{\tan ^{-1}\left(\frac{\sqrt{2-\sqrt{2}}-2 e^x}{\sqrt{2+\sqrt{2}}}\right)}{2 \sqrt{2 \left(2-\sqrt{2}\right)}}+\frac{\tan ^{-1}\left(\frac{\sqrt{2+\sqrt{2}}-2 e^x}{\sqrt{2-\sqrt{2}}}\right)}{2 \sqrt{2 \left(2+\sqrt{2}\right)}}-\frac{\tan ^{-1}\left(\frac{2 e^x+\sqrt{2-\sqrt{2}}}{\sqrt{2+\sqrt{2}}}\right)}{2 \sqrt{2 \left(2-\sqrt{2}\right)}}-\frac{\tan ^{-1}\left(\frac{2 e^x+\sqrt{2+\sqrt{2}}}{\sqrt{2-\sqrt{2}}}\right)}{2 \sqrt{2 \left(2+\sqrt{2}\right)}}",1,"E^x + ArcTan[(Sqrt[2 - Sqrt[2]] - 2*E^x)/Sqrt[2 + Sqrt[2]]]/(2*Sqrt[2*(2 - Sqrt[2])]) + ArcTan[(Sqrt[2 + Sqrt[2]] - 2*E^x)/Sqrt[2 - Sqrt[2]]]/(2*Sqrt[2*(2 + Sqrt[2])]) - ArcTan[(Sqrt[2 - Sqrt[2]] + 2*E^x)/Sqrt[2 + Sqrt[2]]]/(2*Sqrt[2*(2 - Sqrt[2])]) - ArcTan[(Sqrt[2 + Sqrt[2]] + 2*E^x)/Sqrt[2 - Sqrt[2]]]/(2*Sqrt[2*(2 + Sqrt[2])]) + (Sqrt[2 - Sqrt[2]]*Log[1 - Sqrt[2 - Sqrt[2]]*E^x + E^(2*x)])/8 - (Sqrt[2 - Sqrt[2]]*Log[1 + Sqrt[2 - Sqrt[2]]*E^x + E^(2*x)])/8 + (Sqrt[2 + Sqrt[2]]*Log[1 - Sqrt[2 + Sqrt[2]]*E^x + E^(2*x)])/8 - (Sqrt[2 + Sqrt[2]]*Log[1 + Sqrt[2 + Sqrt[2]]*E^x + E^(2*x)])/8","A",21,8,8,1.000,1,"{2282, 388, 213, 1169, 634, 618, 204, 628}"
224,1,116,0,0.0777028,"\int e^x \coth (4 x) \, dx","Int[E^x*Coth[4*x],x]","e^x+\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{1}{2} \tan ^{-1}\left(e^x\right)+\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{1}{2} \tanh ^{-1}\left(e^x\right)","e^x+\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{1}{2} \tan ^{-1}\left(e^x\right)+\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{1}{2} \tanh ^{-1}\left(e^x\right)",1,"E^x - ArcTan[E^x]/2 + ArcTan[1 - Sqrt[2]*E^x]/(2*Sqrt[2]) - ArcTan[1 + Sqrt[2]*E^x]/(2*Sqrt[2]) - ArcTanh[E^x]/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",15,12,8,1.500,1,"{2282, 388, 214, 212, 206, 203, 211, 1165, 628, 1162, 617, 204}"
225,1,134,0,0.1012665,"\int e^x \coth ^2(4 x) \, dx","Int[E^x*Coth[4*x]^2,x]","e^x+\frac{e^x}{2 \left(1-e^{8 x}\right)}+\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{1}{8} \tan ^{-1}\left(e^x\right)+\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{1}{8} \tanh ^{-1}\left(e^x\right)","e^x+\frac{e^x}{2 \left(1-e^{8 x}\right)}+\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{1}{8} \tan ^{-1}\left(e^x\right)+\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{1}{8} \tanh ^{-1}\left(e^x\right)",1,"E^x + E^x/(2*(1 - E^(8*x))) - ArcTan[E^x]/8 + ArcTan[1 - Sqrt[2]*E^x]/(8*Sqrt[2]) - ArcTan[1 + Sqrt[2]*E^x]/(8*Sqrt[2]) - ArcTanh[E^x]/8 + 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",17,13,10,1.300,1,"{2282, 390, 288, 214, 212, 206, 203, 211, 1165, 628, 1162, 617, 204}"
226,1,107,0,0.1258773,"\int \frac{e^x}{a-\tanh (2 x)} \, dx","Int[E^x/(a - Tanh[2*x]),x]","\frac{\tan ^{-1}\left(\frac{\sqrt[4]{1-a} e^x}{\sqrt[4]{a+1}}\right)}{(1-a) \sqrt{a+1} \sqrt[4]{1-a^2}}+\frac{\tanh ^{-1}\left(\frac{\sqrt[4]{1-a} e^x}{\sqrt[4]{a+1}}\right)}{(1-a) \sqrt{a+1} \sqrt[4]{1-a^2}}-\frac{e^x}{1-a}","\frac{\tan ^{-1}\left(\frac{\sqrt[4]{1-a} e^x}{\sqrt[4]{a+1}}\right)}{(1-a) \sqrt{a+1} \sqrt[4]{1-a^2}}+\frac{\tanh ^{-1}\left(\frac{\sqrt[4]{1-a} e^x}{\sqrt[4]{a+1}}\right)}{(1-a) \sqrt{a+1} \sqrt[4]{1-a^2}}-\frac{e^x}{1-a}",1,"-(E^x/(1 - a)) + ArcTan[((1 - a)^(1/4)*E^x)/(1 + a)^(1/4)]/((1 - a)*Sqrt[1 + a]*(1 - a^2)^(1/4)) + ArcTanh[((1 - a)^(1/4)*E^x)/(1 + a)^(1/4)]/((1 - a)*Sqrt[1 + a]*(1 - a^2)^(1/4))","A",5,5,14,0.3571,1,"{2282, 388, 212, 208, 205}"
227,1,152,0,0.1763995,"\int \frac{e^x}{(a-\tanh (2 x))^2} \, dx","Int[E^x/(a - Tanh[2*x])^2,x]","-\frac{(4 a+1) \tan ^{-1}\left(\frac{\sqrt[4]{1-a} e^x}{\sqrt[4]{a+1}}\right)}{2 (1-a)^2 (a+1)^{3/2} \sqrt[4]{1-a^2}}-\frac{(4 a+1) \tanh ^{-1}\left(\frac{\sqrt[4]{1-a} e^x}{\sqrt[4]{a+1}}\right)}{2 (1-a)^2 (a+1)^{3/2} \sqrt[4]{1-a^2}}+\frac{e^x}{(1-a)^2}+\frac{e^x}{(1-a)^2 (a+1) \left((a-1) e^{4 x}+a+1\right)}","-\frac{(4 a+1) \tan ^{-1}\left(\frac{\sqrt[4]{1-a} e^x}{\sqrt[4]{a+1}}\right)}{2 (1-a)^2 (a+1)^{3/2} \sqrt[4]{1-a^2}}-\frac{(4 a+1) \tanh ^{-1}\left(\frac{\sqrt[4]{1-a} e^x}{\sqrt[4]{a+1}}\right)}{2 (1-a)^2 (a+1)^{3/2} \sqrt[4]{1-a^2}}+\frac{e^x}{(1-a)^2}+\frac{e^x}{(1-a)^2 (a+1) \left((a-1) e^{4 x}+a+1\right)}",1,"E^x/(1 - a)^2 + E^x/((1 - a)^2*(1 + a)*(1 + a + (-1 + a)*E^(4*x))) - ((1 + 4*a)*ArcTan[((1 - a)^(1/4)*E^x)/(1 + a)^(1/4)])/(2*(1 - a)^2*(1 + a)^(3/2)*(1 - a^2)^(1/4)) - ((1 + 4*a)*ArcTanh[((1 - a)^(1/4)*E^x)/(1 + a)^(1/4)])/(2*(1 - a)^2*(1 + a)^(3/2)*(1 - a^2)^(1/4))","A",7,6,14,0.4286,1,"{2282, 390, 385, 212, 208, 205}"
228,1,167,0,0.1882675,"\int e^{c (a+b x)} \tanh ^3(d+e x) \, dx","Int[E^(c*(a + b*x))*Tanh[d + e*x]^3,x]","-\frac{6 e^{c (a+b x)} \, _2F_1\left(1,\frac{b c}{2 e};\frac{b c}{2 e}+1;-e^{2 (d+e x)}\right)}{b c}+\frac{12 e^{c (a+b x)} \, _2F_1\left(2,\frac{b c}{2 e};\frac{b c}{2 e}+1;-e^{2 (d+e x)}\right)}{b c}-\frac{8 e^{c (a+b x)} \, _2F_1\left(3,\frac{b c}{2 e};\frac{b c}{2 e}+1;-e^{2 (d+e x)}\right)}{b c}+\frac{e^{c (a+b x)}}{b c}","-\frac{6 e^{c (a+b x)} \, _2F_1\left(1,\frac{b c}{2 e};\frac{b c}{2 e}+1;-e^{2 (d+e x)}\right)}{b c}+\frac{12 e^{c (a+b x)} \, _2F_1\left(2,\frac{b c}{2 e};\frac{b c}{2 e}+1;-e^{2 (d+e x)}\right)}{b c}-\frac{8 e^{c (a+b x)} \, _2F_1\left(3,\frac{b c}{2 e};\frac{b c}{2 e}+1;-e^{2 (d+e x)}\right)}{b c}+\frac{e^{c (a+b x)}}{b c}",1,"E^(c*(a + b*x))/(b*c) - (6*E^(c*(a + b*x))*Hypergeometric2F1[1, (b*c)/(2*e), 1 + (b*c)/(2*e), -E^(2*(d + e*x))])/(b*c) + (12*E^(c*(a + b*x))*Hypergeometric2F1[2, (b*c)/(2*e), 1 + (b*c)/(2*e), -E^(2*(d + e*x))])/(b*c) - (8*E^(c*(a + b*x))*Hypergeometric2F1[3, (b*c)/(2*e), 1 + (b*c)/(2*e), -E^(2*(d + e*x))])/(b*c)","A",6,3,18,0.1667,1,"{5484, 2194, 2251}"
229,1,117,0,0.1267957,"\int e^{c (a+b x)} \tanh ^2(d+e x) \, dx","Int[E^(c*(a + b*x))*Tanh[d + e*x]^2,x]","-\frac{4 e^{c (a+b x)} \, _2F_1\left(1,\frac{b c}{2 e};\frac{b c}{2 e}+1;-e^{2 (d+e x)}\right)}{b c}+\frac{4 e^{c (a+b x)} \, _2F_1\left(2,\frac{b c}{2 e};\frac{b c}{2 e}+1;-e^{2 (d+e x)}\right)}{b c}+\frac{e^{c (a+b x)}}{b c}","-\frac{4 e^{c (a+b x)} \, _2F_1\left(1,\frac{b c}{2 e};\frac{b c}{2 e}+1;-e^{2 (d+e x)}\right)}{b c}+\frac{4 e^{c (a+b x)} \, _2F_1\left(2,\frac{b c}{2 e};\frac{b c}{2 e}+1;-e^{2 (d+e x)}\right)}{b c}+\frac{e^{c (a+b x)}}{b c}",1,"E^(c*(a + b*x))/(b*c) - (4*E^(c*(a + b*x))*Hypergeometric2F1[1, (b*c)/(2*e), 1 + (b*c)/(2*e), -E^(2*(d + e*x))])/(b*c) + (4*E^(c*(a + b*x))*Hypergeometric2F1[2, (b*c)/(2*e), 1 + (b*c)/(2*e), -E^(2*(d + e*x))])/(b*c)","A",5,3,18,0.1667,1,"{5484, 2194, 2251}"
230,1,67,0,0.0708198,"\int e^{c (a+b x)} \tanh (d+e x) \, dx","Int[E^(c*(a + b*x))*Tanh[d + e*x],x]","\frac{e^{c (a+b x)}}{b c}-\frac{2 e^{c (a+b x)} \, _2F_1\left(1,\frac{b c}{2 e};\frac{b c}{2 e}+1;-e^{2 (d+e x)}\right)}{b c}","\frac{e^{c (a+b x)}}{b c}-\frac{2 e^{c (a+b x)} \, _2F_1\left(1,\frac{b c}{2 e};\frac{b c}{2 e}+1;-e^{2 (d+e x)}\right)}{b c}",1,"E^(c*(a + b*x))/(b*c) - (2*E^(c*(a + b*x))*Hypergeometric2F1[1, (b*c)/(2*e), 1 + (b*c)/(2*e), -E^(2*(d + e*x))])/(b*c)","A",4,3,16,0.1875,1,"{5484, 2194, 2251}"
231,1,65,0,0.070891,"\int e^{c (a+b x)} \coth (d+e x) \, dx","Int[E^(c*(a + b*x))*Coth[d + e*x],x]","\frac{e^{c (a+b x)}}{b c}-\frac{2 e^{c (a+b x)} \, _2F_1\left(1,\frac{b c}{2 e};\frac{b c}{2 e}+1;e^{2 (d+e x)}\right)}{b c}","\frac{e^{c (a+b x)}}{b c}-\frac{2 e^{c (a+b x)} \, _2F_1\left(1,\frac{b c}{2 e};\frac{b c}{2 e}+1;e^{2 (d+e x)}\right)}{b c}",1,"E^(c*(a + b*x))/(b*c) - (2*E^(c*(a + b*x))*Hypergeometric2F1[1, (b*c)/(2*e), 1 + (b*c)/(2*e), E^(2*(d + e*x))])/(b*c)","A",4,3,16,0.1875,1,"{5485, 2194, 2251}"
232,1,113,0,0.1257409,"\int e^{c (a+b x)} \coth ^2(d+e x) \, dx","Int[E^(c*(a + b*x))*Coth[d + e*x]^2,x]","-\frac{4 e^{c (a+b x)} \, _2F_1\left(1,\frac{b c}{2 e};\frac{b c}{2 e}+1;e^{2 (d+e x)}\right)}{b c}+\frac{4 e^{c (a+b x)} \, _2F_1\left(2,\frac{b c}{2 e};\frac{b c}{2 e}+1;e^{2 (d+e x)}\right)}{b c}+\frac{e^{c (a+b x)}}{b c}","-\frac{4 e^{c (a+b x)} \, _2F_1\left(1,\frac{b c}{2 e};\frac{b c}{2 e}+1;e^{2 (d+e x)}\right)}{b c}+\frac{4 e^{c (a+b x)} \, _2F_1\left(2,\frac{b c}{2 e};\frac{b c}{2 e}+1;e^{2 (d+e x)}\right)}{b c}+\frac{e^{c (a+b x)}}{b c}",1,"E^(c*(a + b*x))/(b*c) - (4*E^(c*(a + b*x))*Hypergeometric2F1[1, (b*c)/(2*e), 1 + (b*c)/(2*e), E^(2*(d + e*x))])/(b*c) + (4*E^(c*(a + b*x))*Hypergeometric2F1[2, (b*c)/(2*e), 1 + (b*c)/(2*e), E^(2*(d + e*x))])/(b*c)","A",5,3,18,0.1667,1,"{5485, 2194, 2251}"
233,1,161,0,0.1757789,"\int e^{c (a+b x)} \coth ^3(d+e x) \, dx","Int[E^(c*(a + b*x))*Coth[d + e*x]^3,x]","-\frac{6 e^{c (a+b x)} \, _2F_1\left(1,\frac{b c}{2 e};\frac{b c}{2 e}+1;e^{2 (d+e x)}\right)}{b c}+\frac{12 e^{c (a+b x)} \, _2F_1\left(2,\frac{b c}{2 e};\frac{b c}{2 e}+1;e^{2 (d+e x)}\right)}{b c}-\frac{8 e^{c (a+b x)} \, _2F_1\left(3,\frac{b c}{2 e};\frac{b c}{2 e}+1;e^{2 (d+e x)}\right)}{b c}+\frac{e^{c (a+b x)}}{b c}","-\frac{6 e^{c (a+b x)} \, _2F_1\left(1,\frac{b c}{2 e};\frac{b c}{2 e}+1;e^{2 (d+e x)}\right)}{b c}+\frac{12 e^{c (a+b x)} \, _2F_1\left(2,\frac{b c}{2 e};\frac{b c}{2 e}+1;e^{2 (d+e x)}\right)}{b c}-\frac{8 e^{c (a+b x)} \, _2F_1\left(3,\frac{b c}{2 e};\frac{b c}{2 e}+1;e^{2 (d+e x)}\right)}{b c}+\frac{e^{c (a+b x)}}{b c}",1,"E^(c*(a + b*x))/(b*c) - (6*E^(c*(a + b*x))*Hypergeometric2F1[1, (b*c)/(2*e), 1 + (b*c)/(2*e), E^(2*(d + e*x))])/(b*c) + (12*E^(c*(a + b*x))*Hypergeometric2F1[2, (b*c)/(2*e), 1 + (b*c)/(2*e), E^(2*(d + e*x))])/(b*c) - (8*E^(c*(a + b*x))*Hypergeometric2F1[3, (b*c)/(2*e), 1 + (b*c)/(2*e), E^(2*(d + e*x))])/(b*c)","A",6,3,18,0.1667,1,"{5485, 2194, 2251}"
234,1,311,0,0.9020176,"\int e^{c (a+b x)} \tanh ^2(a c+b c x)^{5/2} \, dx","Int[E^(c*(a + b*x))*(Tanh[a*c + b*c*x]^2)^(5/2),x]","\frac{e^{c (a+b x)} \sqrt{\tanh ^2(a c+b c x)} \coth (a c+b c x)}{b c}+\frac{25 e^{c (a+b x)} \sqrt{\tanh ^2(a c+b c x)} \coth (a c+b c x)}{4 b c \left(e^{2 c (a+b x)}+1\right)}-\frac{55 e^{c (a+b x)} \sqrt{\tanh ^2(a c+b c x)} \coth (a c+b c x)}{6 b c \left(e^{2 c (a+b x)}+1\right)^2}+\frac{26 e^{c (a+b x)} \sqrt{\tanh ^2(a c+b c x)} \coth (a c+b c x)}{3 b c \left(e^{2 c (a+b x)}+1\right)^3}-\frac{4 e^{c (a+b x)} \sqrt{\tanh ^2(a c+b c x)} \coth (a c+b c x)}{b c \left(e^{2 c (a+b x)}+1\right)^4}-\frac{15 \tan ^{-1}\left(e^{c (a+b x)}\right) \sqrt{\tanh ^2(a c+b c x)} \coth (a c+b c x)}{4 b c}","\frac{e^{c (a+b x)} \sqrt{\tanh ^2(a c+b c x)} \coth (a c+b c x)}{b c}+\frac{25 e^{c (a+b x)} \sqrt{\tanh ^2(a c+b c x)} \coth (a c+b c x)}{4 b c \left(e^{2 c (a+b x)}+1\right)}-\frac{55 e^{c (a+b x)} \sqrt{\tanh ^2(a c+b c x)} \coth (a c+b c x)}{6 b c \left(e^{2 c (a+b x)}+1\right)^2}+\frac{26 e^{c (a+b x)} \sqrt{\tanh ^2(a c+b c x)} \coth (a c+b c x)}{3 b c \left(e^{2 c (a+b x)}+1\right)^3}-\frac{4 e^{c (a+b x)} \sqrt{\tanh ^2(a c+b c x)} \coth (a c+b c x)}{b c \left(e^{2 c (a+b x)}+1\right)^4}-\frac{15 \tan ^{-1}\left(e^{c (a+b x)}\right) \sqrt{\tanh ^2(a c+b c x)} \coth (a c+b c x)}{4 b c}",1,"(E^(c*(a + b*x))*Coth[a*c + b*c*x]*Sqrt[Tanh[a*c + b*c*x]^2])/(b*c) - (4*E^(c*(a + b*x))*Coth[a*c + b*c*x]*Sqrt[Tanh[a*c + b*c*x]^2])/(b*c*(1 + E^(2*c*(a + b*x)))^4) + (26*E^(c*(a + b*x))*Coth[a*c + b*c*x]*Sqrt[Tanh[a*c + b*c*x]^2])/(3*b*c*(1 + E^(2*c*(a + b*x)))^3) - (55*E^(c*(a + b*x))*Coth[a*c + b*c*x]*Sqrt[Tanh[a*c + b*c*x]^2])/(6*b*c*(1 + E^(2*c*(a + b*x)))^2) + (25*E^(c*(a + b*x))*Coth[a*c + b*c*x]*Sqrt[Tanh[a*c + b*c*x]^2])/(4*b*c*(1 + E^(2*c*(a + b*x)))) - (15*ArcTan[E^(c*(a + b*x))]*Coth[a*c + b*c*x]*Sqrt[Tanh[a*c + b*c*x]^2])/(4*b*c)","A",9,7,25,0.2800,1,"{6720, 2282, 390, 1814, 1157, 385, 203}"
235,1,193,0,0.2797214,"\int e^{c (a+b x)} \tanh ^2(a c+b c x)^{3/2} \, dx","Int[E^(c*(a + b*x))*(Tanh[a*c + b*c*x]^2)^(3/2),x]","\frac{e^{c (a+b x)} \sqrt{\tanh ^2(a c+b c x)} \coth (a c+b c x)}{b c}+\frac{3 e^{c (a+b x)} \sqrt{\tanh ^2(a c+b c x)} \coth (a c+b c x)}{b c \left(e^{2 c (a+b x)}+1\right)}-\frac{2 e^{c (a+b x)} \sqrt{\tanh ^2(a c+b c x)} \coth (a c+b c x)}{b c \left(e^{2 c (a+b x)}+1\right)^2}-\frac{3 \tan ^{-1}\left(e^{c (a+b x)}\right) \sqrt{\tanh ^2(a c+b c x)} \coth (a c+b c x)}{b c}","\frac{e^{c (a+b x)} \sqrt{\tanh ^2(a c+b c x)} \coth (a c+b c x)}{b c}+\frac{3 e^{c (a+b x)} \sqrt{\tanh ^2(a c+b c x)} \coth (a c+b c x)}{b c \left(e^{2 c (a+b x)}+1\right)}-\frac{2 e^{c (a+b x)} \sqrt{\tanh ^2(a c+b c x)} \coth (a c+b c x)}{b c \left(e^{2 c (a+b x)}+1\right)^2}-\frac{3 \tan ^{-1}\left(e^{c (a+b x)}\right) \sqrt{\tanh ^2(a c+b c x)} \coth (a c+b c x)}{b c}",1,"(E^(c*(a + b*x))*Coth[a*c + b*c*x]*Sqrt[Tanh[a*c + b*c*x]^2])/(b*c) - (2*E^(c*(a + b*x))*Coth[a*c + b*c*x]*Sqrt[Tanh[a*c + b*c*x]^2])/(b*c*(1 + E^(2*c*(a + b*x)))^2) + (3*E^(c*(a + b*x))*Coth[a*c + b*c*x]*Sqrt[Tanh[a*c + b*c*x]^2])/(b*c*(1 + E^(2*c*(a + b*x)))) - (3*ArcTan[E^(c*(a + b*x))]*Coth[a*c + b*c*x]*Sqrt[Tanh[a*c + b*c*x]^2])/(b*c)","A",8,7,25,0.2800,1,"{6720, 2282, 390, 1158, 12, 288, 203}"
236,1,83,0,0.1498555,"\int e^{c (a+b x)} \sqrt{\tanh ^2(a c+b c x)} \, dx","Int[E^(c*(a + b*x))*Sqrt[Tanh[a*c + b*c*x]^2],x]","\frac{e^{c (a+b x)} \sqrt{\tanh ^2(a c+b c x)} \coth (a c+b c x)}{b c}-\frac{2 \tan ^{-1}\left(e^{c (a+b x)}\right) \sqrt{\tanh ^2(a c+b c x)} \coth (a c+b c x)}{b c}","\frac{e^{c (a+b x)} \sqrt{\tanh ^2(a c+b c x)} \coth (a c+b c x)}{b c}-\frac{2 \tan ^{-1}\left(e^{c (a+b x)}\right) \sqrt{\tanh ^2(a c+b c x)} \coth (a c+b c x)}{b c}",1,"(E^(c*(a + b*x))*Coth[a*c + b*c*x]*Sqrt[Tanh[a*c + b*c*x]^2])/(b*c) - (2*ArcTan[E^(c*(a + b*x))]*Coth[a*c + b*c*x]*Sqrt[Tanh[a*c + b*c*x]^2])/(b*c)","A",4,4,25,0.1600,1,"{6720, 2282, 388, 203}"
237,1,83,0,0.1991882,"\int \frac{e^{c (a+b x)}}{\sqrt{\tanh ^2(a c+b c x)}} \, dx","Int[E^(c*(a + b*x))/Sqrt[Tanh[a*c + b*c*x]^2],x]","\frac{e^{c (a+b x)} \tanh (a c+b c x)}{b c \sqrt{\tanh ^2(a c+b c x)}}-\frac{2 \tanh ^{-1}\left(e^{c (a+b x)}\right) \tanh (a c+b c x)}{b c \sqrt{\tanh ^2(a c+b c x)}}","\frac{e^{c (a+b x)} \tanh (a c+b c x)}{b c \sqrt{\tanh ^2(a c+b c x)}}-\frac{2 \tanh ^{-1}\left(e^{c (a+b x)}\right) \tanh (a c+b c x)}{b c \sqrt{\tanh ^2(a c+b c x)}}",1,"(E^(c*(a + b*x))*Tanh[a*c + b*c*x])/(b*c*Sqrt[Tanh[a*c + b*c*x]^2]) - (2*ArcTanh[E^(c*(a + b*x))]*Tanh[a*c + b*c*x])/(b*c*Sqrt[Tanh[a*c + b*c*x]^2])","A",4,4,25,0.1600,1,"{6720, 2282, 388, 206}"
238,1,197,0,0.8652298,"\int \frac{e^{c (a+b x)}}{\tanh ^2(a c+b c x)^{3/2}} \, dx","Int[E^(c*(a + b*x))/(Tanh[a*c + b*c*x]^2)^(3/2),x]","\frac{e^{c (a+b x)} \tanh (a c+b c x)}{b c \sqrt{\tanh ^2(a c+b c x)}}-\frac{3 \tanh ^{-1}\left(e^{c (a+b x)}\right) \tanh (a c+b c x)}{b c \sqrt{\tanh ^2(a c+b c x)}}+\frac{3 e^{c (a+b x)} \tanh (a c+b c x)}{b c \left(1-e^{2 c (a+b x)}\right) \sqrt{\tanh ^2(a c+b c x)}}-\frac{2 e^{c (a+b x)} \tanh (a c+b c x)}{b c \left(1-e^{2 c (a+b x)}\right)^2 \sqrt{\tanh ^2(a c+b c x)}}","\frac{e^{c (a+b x)} \tanh (a c+b c x)}{b c \sqrt{\tanh ^2(a c+b c x)}}-\frac{3 \tanh ^{-1}\left(e^{c (a+b x)}\right) \tanh (a c+b c x)}{b c \sqrt{\tanh ^2(a c+b c x)}}+\frac{3 e^{c (a+b x)} \tanh (a c+b c x)}{b c \left(1-e^{2 c (a+b x)}\right) \sqrt{\tanh ^2(a c+b c x)}}-\frac{2 e^{c (a+b x)} \tanh (a c+b c x)}{b c \left(1-e^{2 c (a+b x)}\right)^2 \sqrt{\tanh ^2(a c+b c x)}}",1,"(E^(c*(a + b*x))*Tanh[a*c + b*c*x])/(b*c*Sqrt[Tanh[a*c + b*c*x]^2]) - (2*E^(c*(a + b*x))*Tanh[a*c + b*c*x])/(b*c*(1 - E^(2*c*(a + b*x)))^2*Sqrt[Tanh[a*c + b*c*x]^2]) + (3*E^(c*(a + b*x))*Tanh[a*c + b*c*x])/(b*c*(1 - E^(2*c*(a + b*x)))*Sqrt[Tanh[a*c + b*c*x]^2]) - (3*ArcTanh[E^(c*(a + b*x))]*Tanh[a*c + b*c*x])/(b*c*Sqrt[Tanh[a*c + b*c*x]^2])","A",8,7,25,0.2800,1,"{6720, 2282, 390, 1158, 12, 288, 207}"
239,1,319,0,1.7704777,"\int \frac{e^{c (a+b x)}}{\tanh ^2(a c+b c x)^{5/2}} \, dx","Int[E^(c*(a + b*x))/(Tanh[a*c + b*c*x]^2)^(5/2),x]","\frac{e^{c (a+b x)} \tanh (a c+b c x)}{b c \sqrt{\tanh ^2(a c+b c x)}}-\frac{15 \tanh ^{-1}\left(e^{c (a+b x)}\right) \tanh (a c+b c x)}{4 b c \sqrt{\tanh ^2(a c+b c x)}}+\frac{25 e^{c (a+b x)} \tanh (a c+b c x)}{4 b c \left(1-e^{2 c (a+b x)}\right) \sqrt{\tanh ^2(a c+b c x)}}-\frac{55 e^{c (a+b x)} \tanh (a c+b c x)}{6 b c \left(1-e^{2 c (a+b x)}\right)^2 \sqrt{\tanh ^2(a c+b c x)}}+\frac{26 e^{c (a+b x)} \tanh (a c+b c x)}{3 b c \left(1-e^{2 c (a+b x)}\right)^3 \sqrt{\tanh ^2(a c+b c x)}}-\frac{4 e^{c (a+b x)} \tanh (a c+b c x)}{b c \left(1-e^{2 c (a+b x)}\right)^4 \sqrt{\tanh ^2(a c+b c x)}}","\frac{e^{c (a+b x)} \tanh (a c+b c x)}{b c \sqrt{\tanh ^2(a c+b c x)}}-\frac{15 \tanh ^{-1}\left(e^{c (a+b x)}\right) \tanh (a c+b c x)}{4 b c \sqrt{\tanh ^2(a c+b c x)}}+\frac{25 e^{c (a+b x)} \tanh (a c+b c x)}{4 b c \left(1-e^{2 c (a+b x)}\right) \sqrt{\tanh ^2(a c+b c x)}}-\frac{55 e^{c (a+b x)} \tanh (a c+b c x)}{6 b c \left(1-e^{2 c (a+b x)}\right)^2 \sqrt{\tanh ^2(a c+b c x)}}+\frac{26 e^{c (a+b x)} \tanh (a c+b c x)}{3 b c \left(1-e^{2 c (a+b x)}\right)^3 \sqrt{\tanh ^2(a c+b c x)}}-\frac{4 e^{c (a+b x)} \tanh (a c+b c x)}{b c \left(1-e^{2 c (a+b x)}\right)^4 \sqrt{\tanh ^2(a c+b c x)}}",1,"(E^(c*(a + b*x))*Tanh[a*c + b*c*x])/(b*c*Sqrt[Tanh[a*c + b*c*x]^2]) - (4*E^(c*(a + b*x))*Tanh[a*c + b*c*x])/(b*c*(1 - E^(2*c*(a + b*x)))^4*Sqrt[Tanh[a*c + b*c*x]^2]) + (26*E^(c*(a + b*x))*Tanh[a*c + b*c*x])/(3*b*c*(1 - E^(2*c*(a + b*x)))^3*Sqrt[Tanh[a*c + b*c*x]^2]) - (55*E^(c*(a + b*x))*Tanh[a*c + b*c*x])/(6*b*c*(1 - E^(2*c*(a + b*x)))^2*Sqrt[Tanh[a*c + b*c*x]^2]) + (25*E^(c*(a + b*x))*Tanh[a*c + b*c*x])/(4*b*c*(1 - E^(2*c*(a + b*x)))*Sqrt[Tanh[a*c + b*c*x]^2]) - (15*ArcTanh[E^(c*(a + b*x))]*Tanh[a*c + b*c*x])/(4*b*c*Sqrt[Tanh[a*c + b*c*x]^2])","A",9,7,25,0.2800,1,"{6720, 2282, 390, 1814, 1157, 385, 207}"
240,1,157,0,0.3951803,"\int \sin ^3(\tanh (a+b x)) \, dx","Int[Sin[Tanh[a + b*x]]^3,x]","\frac{\sin (3) \text{CosIntegral}(3-3 \tanh (a+b x))}{8 b}+\frac{\sin (3) \text{CosIntegral}(3 \tanh (a+b x)+3)}{8 b}-\frac{3 \sin (1) \text{CosIntegral}(1-\tanh (a+b x))}{8 b}-\frac{3 \sin (1) \text{CosIntegral}(\tanh (a+b x)+1)}{8 b}-\frac{\cos (3) \text{Si}(3-3 \tanh (a+b x))}{8 b}+\frac{3 \cos (1) \text{Si}(1-\tanh (a+b x))}{8 b}+\frac{3 \cos (1) \text{Si}(\tanh (a+b x)+1)}{8 b}-\frac{\cos (3) \text{Si}(3 \tanh (a+b x)+3)}{8 b}","\frac{\sin (3) \text{CosIntegral}(3-3 \tanh (a+b x))}{8 b}+\frac{\sin (3) \text{CosIntegral}(3 \tanh (a+b x)+3)}{8 b}-\frac{3 \sin (1) \text{CosIntegral}(1-\tanh (a+b x))}{8 b}-\frac{3 \sin (1) \text{CosIntegral}(\tanh (a+b x)+1)}{8 b}-\frac{\cos (3) \text{Si}(3-3 \tanh (a+b x))}{8 b}+\frac{3 \cos (1) \text{Si}(1-\tanh (a+b x))}{8 b}+\frac{3 \cos (1) \text{Si}(\tanh (a+b x)+1)}{8 b}-\frac{\cos (3) \text{Si}(3 \tanh (a+b x)+3)}{8 b}",1,"(-3*CosIntegral[1 - Tanh[a + b*x]]*Sin[1])/(8*b) - (3*CosIntegral[1 + Tanh[a + b*x]]*Sin[1])/(8*b) + (CosIntegral[3 - 3*Tanh[a + b*x]]*Sin[3])/(8*b) + (CosIntegral[3 + 3*Tanh[a + b*x]]*Sin[3])/(8*b) - (Cos[3]*SinIntegral[3 - 3*Tanh[a + b*x]])/(8*b) + (3*Cos[1]*SinIntegral[1 - Tanh[a + b*x]])/(8*b) + (3*Cos[1]*SinIntegral[1 + Tanh[a + b*x]])/(8*b) - (Cos[3]*SinIntegral[3 + 3*Tanh[a + b*x]])/(8*b)","A",19,5,9,0.5556,1,"{6725, 3312, 3303, 3299, 3302}"
241,1,115,0,0.2656565,"\int \sin ^2(\tanh (a+b x)) \, dx","Int[Sin[Tanh[a + b*x]]^2,x]","\frac{\cos (2) \text{CosIntegral}(2-2 \tanh (a+b x))}{4 b}-\frac{\cos (2) \text{CosIntegral}(2 \tanh (a+b x)+2)}{4 b}+\frac{\sin (2) \text{Si}(2-2 \tanh (a+b x))}{4 b}-\frac{\sin (2) \text{Si}(2 \tanh (a+b x)+2)}{4 b}-\frac{\log (1-\tanh (a+b x))}{4 b}+\frac{\log (\tanh (a+b x)+1)}{4 b}","\frac{\cos (2) \text{CosIntegral}(2-2 \tanh (a+b x))}{4 b}-\frac{\cos (2) \text{CosIntegral}(2 \tanh (a+b x)+2)}{4 b}+\frac{\sin (2) \text{Si}(2-2 \tanh (a+b x))}{4 b}-\frac{\sin (2) \text{Si}(2 \tanh (a+b x)+2)}{4 b}-\frac{\log (1-\tanh (a+b x))}{4 b}+\frac{\log (\tanh (a+b x)+1)}{4 b}",1,"(Cos[2]*CosIntegral[2 - 2*Tanh[a + b*x]])/(4*b) - (Cos[2]*CosIntegral[2 + 2*Tanh[a + b*x]])/(4*b) - Log[1 - Tanh[a + b*x]]/(4*b) + Log[1 + Tanh[a + b*x]]/(4*b) + (Sin[2]*SinIntegral[2 - 2*Tanh[a + b*x]])/(4*b) - (Sin[2]*SinIntegral[2 + 2*Tanh[a + b*x]])/(4*b)","A",13,5,9,0.5556,1,"{6725, 3312, 3303, 3299, 3302}"
242,1,77,0,0.1455594,"\int \sin (\tanh (a+b x)) \, dx","Int[Sin[Tanh[a + b*x]],x]","-\frac{\sin (1) \text{CosIntegral}(1-\tanh (a+b x))}{2 b}-\frac{\sin (1) \text{CosIntegral}(\tanh (a+b x)+1)}{2 b}+\frac{\cos (1) \text{Si}(1-\tanh (a+b x))}{2 b}+\frac{\cos (1) \text{Si}(\tanh (a+b x)+1)}{2 b}","-\frac{\sin (1) \text{CosIntegral}(1-\tanh (a+b x))}{2 b}-\frac{\sin (1) \text{CosIntegral}(\tanh (a+b x)+1)}{2 b}+\frac{\cos (1) \text{Si}(1-\tanh (a+b x))}{2 b}+\frac{\cos (1) \text{Si}(\tanh (a+b x)+1)}{2 b}",1,"-(CosIntegral[1 - Tanh[a + b*x]]*Sin[1])/(2*b) - (CosIntegral[1 + Tanh[a + b*x]]*Sin[1])/(2*b) + (Cos[1]*SinIntegral[1 - Tanh[a + b*x]])/(2*b) + (Cos[1]*SinIntegral[1 + Tanh[a + b*x]])/(2*b)","A",9,4,7,0.5714,1,"{3333, 3303, 3299, 3302}"
243,0,0,0,0.0768353,"\int \csc (\tanh (a+b x)) \, dx","Int[Csc[Tanh[a + b*x]],x]","\int \csc (\tanh (a+b x)) \, dx","\frac{1}{2} \text{Int}\left(\frac{\text{sech}^2(a+b x) \csc (\tanh (a+b x))}{\tanh (a+b x)+1},x\right)-\frac{1}{2} \text{Int}\left(\frac{\text{sech}^2(a+b x) \csc (\tanh (a+b x))}{\tanh (a+b x)-1},x\right)",0,"-Defer[Subst][Defer[Int][Csc[x]/(-1 + x), x], x, Tanh[a + b*x]]/(2*b) + Defer[Subst][Defer[Int][Csc[x]/(1 + x), x], x, Tanh[a + b*x]]/(2*b)","A",0,0,0,0,-1,"{}"
244,1,157,0,0.372814,"\int \cos ^3(\tanh (a+b x)) \, dx","Int[Cos[Tanh[a + b*x]]^3,x]","-\frac{\cos (3) \text{CosIntegral}(3-3 \tanh (a+b x))}{8 b}-\frac{3 \cos (1) \text{CosIntegral}(1-\tanh (a+b x))}{8 b}+\frac{3 \cos (1) \text{CosIntegral}(\tanh (a+b x)+1)}{8 b}+\frac{\cos (3) \text{CosIntegral}(3 \tanh (a+b x)+3)}{8 b}-\frac{\sin (3) \text{Si}(3-3 \tanh (a+b x))}{8 b}-\frac{3 \sin (1) \text{Si}(1-\tanh (a+b x))}{8 b}+\frac{3 \sin (1) \text{Si}(\tanh (a+b x)+1)}{8 b}+\frac{\sin (3) \text{Si}(3 \tanh (a+b x)+3)}{8 b}","-\frac{\cos (3) \text{CosIntegral}(3-3 \tanh (a+b x))}{8 b}-\frac{3 \cos (1) \text{CosIntegral}(1-\tanh (a+b x))}{8 b}+\frac{3 \cos (1) \text{CosIntegral}(\tanh (a+b x)+1)}{8 b}+\frac{\cos (3) \text{CosIntegral}(3 \tanh (a+b x)+3)}{8 b}-\frac{\sin (3) \text{Si}(3-3 \tanh (a+b x))}{8 b}-\frac{3 \sin (1) \text{Si}(1-\tanh (a+b x))}{8 b}+\frac{3 \sin (1) \text{Si}(\tanh (a+b x)+1)}{8 b}+\frac{\sin (3) \text{Si}(3 \tanh (a+b x)+3)}{8 b}",1,"-(Cos[3]*CosIntegral[3 - 3*Tanh[a + b*x]])/(8*b) - (3*Cos[1]*CosIntegral[1 - Tanh[a + b*x]])/(8*b) + (3*Cos[1]*CosIntegral[1 + Tanh[a + b*x]])/(8*b) + (Cos[3]*CosIntegral[3 + 3*Tanh[a + b*x]])/(8*b) - (Sin[3]*SinIntegral[3 - 3*Tanh[a + b*x]])/(8*b) - (3*Sin[1]*SinIntegral[1 - Tanh[a + b*x]])/(8*b) + (3*Sin[1]*SinIntegral[1 + Tanh[a + b*x]])/(8*b) + (Sin[3]*SinIntegral[3 + 3*Tanh[a + b*x]])/(8*b)","A",19,5,9,0.5556,1,"{6725, 3312, 3303, 3299, 3302}"
245,1,115,0,0.2499961,"\int \cos ^2(\tanh (a+b x)) \, dx","Int[Cos[Tanh[a + b*x]]^2,x]","-\frac{\cos (2) \text{CosIntegral}(2-2 \tanh (a+b x))}{4 b}+\frac{\cos (2) \text{CosIntegral}(2 \tanh (a+b x)+2)}{4 b}-\frac{\sin (2) \text{Si}(2-2 \tanh (a+b x))}{4 b}+\frac{\sin (2) \text{Si}(2 \tanh (a+b x)+2)}{4 b}-\frac{\log (1-\tanh (a+b x))}{4 b}+\frac{\log (\tanh (a+b x)+1)}{4 b}","-\frac{\cos (2) \text{CosIntegral}(2-2 \tanh (a+b x))}{4 b}+\frac{\cos (2) \text{CosIntegral}(2 \tanh (a+b x)+2)}{4 b}-\frac{\sin (2) \text{Si}(2-2 \tanh (a+b x))}{4 b}+\frac{\sin (2) \text{Si}(2 \tanh (a+b x)+2)}{4 b}-\frac{\log (1-\tanh (a+b x))}{4 b}+\frac{\log (\tanh (a+b x)+1)}{4 b}",1,"-(Cos[2]*CosIntegral[2 - 2*Tanh[a + b*x]])/(4*b) + (Cos[2]*CosIntegral[2 + 2*Tanh[a + b*x]])/(4*b) - Log[1 - Tanh[a + b*x]]/(4*b) + Log[1 + Tanh[a + b*x]]/(4*b) - (Sin[2]*SinIntegral[2 - 2*Tanh[a + b*x]])/(4*b) + (Sin[2]*SinIntegral[2 + 2*Tanh[a + b*x]])/(4*b)","A",13,5,9,0.5556,1,"{6725, 3312, 3303, 3299, 3302}"
246,1,77,0,0.1386084,"\int \cos (\tanh (a+b x)) \, dx","Int[Cos[Tanh[a + b*x]],x]","-\frac{\cos (1) \text{CosIntegral}(1-\tanh (a+b x))}{2 b}+\frac{\cos (1) \text{CosIntegral}(\tanh (a+b x)+1)}{2 b}-\frac{\sin (1) \text{Si}(1-\tanh (a+b x))}{2 b}+\frac{\sin (1) \text{Si}(\tanh (a+b x)+1)}{2 b}","-\frac{\cos (1) \text{CosIntegral}(1-\tanh (a+b x))}{2 b}+\frac{\cos (1) \text{CosIntegral}(\tanh (a+b x)+1)}{2 b}-\frac{\sin (1) \text{Si}(1-\tanh (a+b x))}{2 b}+\frac{\sin (1) \text{Si}(\tanh (a+b x)+1)}{2 b}",1,"-(Cos[1]*CosIntegral[1 - Tanh[a + b*x]])/(2*b) + (Cos[1]*CosIntegral[1 + Tanh[a + b*x]])/(2*b) - (Sin[1]*SinIntegral[1 - Tanh[a + b*x]])/(2*b) + (Sin[1]*SinIntegral[1 + Tanh[a + b*x]])/(2*b)","A",9,4,7,0.5714,1,"{3334, 3303, 3299, 3302}"
247,0,0,0,0.0771812,"\int \sec (\tanh (a+b x)) \, dx","Int[Sec[Tanh[a + b*x]],x]","\int \sec (\tanh (a+b x)) \, dx","\frac{1}{2} \text{Int}\left(\frac{\text{sech}^2(a+b x) \sec (\tanh (a+b x))}{\tanh (a+b x)+1},x\right)-\frac{1}{2} \text{Int}\left(\frac{\text{sech}^2(a+b x) \sec (\tanh (a+b x))}{\tanh (a+b x)-1},x\right)",0,"-Defer[Subst][Defer[Int][Sec[x]/(-1 + x), x], x, Tanh[a + b*x]]/(2*b) + Defer[Subst][Defer[Int][Sec[x]/(1 + x), x], x, Tanh[a + b*x]]/(2*b)","A",0,0,0,0,-1,"{}"