1,1,12,0,0.0062549,"\int \text{csch}(a+b x) \, dx","Int[Csch[a + b*x],x]","-\frac{\tanh ^{-1}(\cosh (a+b x))}{b}","-\frac{\tanh ^{-1}(\cosh (a+b x))}{b}",1,"-(ArcTanh[Cosh[a + b*x]]/b)","A",1,1,6,0.1667,1,"{3770}"
2,1,11,0,0.009889,"\int \text{csch}^2(a+b x) \, dx","Int[Csch[a + b*x]^2,x]","-\frac{\coth (a+b x)}{b}","-\frac{\coth (a+b x)}{b}",1,"-(Coth[a + b*x]/b)","A",2,2,8,0.2500,1,"{3767, 8}"
3,1,34,0,0.0221119,"\int \text{csch}^3(a+b x) \, dx","Int[Csch[a + b*x]^3,x]","\frac{\tanh ^{-1}(\cosh (a+b x))}{2 b}-\frac{\coth (a+b x) \text{csch}(a+b x)}{2 b}","\frac{\tanh ^{-1}(\cosh (a+b x))}{2 b}-\frac{\coth (a+b x) \text{csch}(a+b x)}{2 b}",1,"ArcTanh[Cosh[a + b*x]]/(2*b) - (Coth[a + b*x]*Csch[a + b*x])/(2*b)","A",2,2,8,0.2500,1,"{3768, 3770}"
4,1,26,0,0.0118475,"\int \text{csch}^4(a+b x) \, dx","Int[Csch[a + b*x]^4,x]","\frac{\coth (a+b x)}{b}-\frac{\coth ^3(a+b x)}{3 b}","\frac{\coth (a+b x)}{b}-\frac{\coth ^3(a+b x)}{3 b}",1,"Coth[a + b*x]/b - Coth[a + b*x]^3/(3*b)","A",2,1,8,0.1250,1,"{3767}"
5,1,55,0,0.0430128,"\int \text{csch}^5(a+b x) \, dx","Int[Csch[a + b*x]^5,x]","-\frac{3 \tanh ^{-1}(\cosh (a+b x))}{8 b}-\frac{\coth (a+b x) \text{csch}^3(a+b x)}{4 b}+\frac{3 \coth (a+b x) \text{csch}(a+b x)}{8 b}","-\frac{3 \tanh ^{-1}(\cosh (a+b x))}{8 b}-\frac{\coth (a+b x) \text{csch}^3(a+b x)}{4 b}+\frac{3 \coth (a+b x) \text{csch}(a+b x)}{8 b}",1,"(-3*ArcTanh[Cosh[a + b*x]])/(8*b) + (3*Coth[a + b*x]*Csch[a + b*x])/(8*b) - (Coth[a + b*x]*Csch[a + b*x]^3)/(4*b)","A",3,2,8,0.2500,1,"{3768, 3770}"
6,1,42,0,0.0153031,"\int \text{csch}^6(a+b x) \, dx","Int[Csch[a + b*x]^6,x]","-\frac{\coth ^5(a+b x)}{5 b}+\frac{2 \coth ^3(a+b x)}{3 b}-\frac{\coth (a+b x)}{b}","-\frac{\coth ^5(a+b x)}{5 b}+\frac{2 \coth ^3(a+b x)}{3 b}-\frac{\coth (a+b x)}{b}",1,"-(Coth[a + b*x]/b) + (2*Coth[a + b*x]^3)/(3*b) - Coth[a + b*x]^5/(5*b)","A",2,1,8,0.1250,1,"{3767}"
7,1,80,0,0.0365541,"\int \text{csch}^{\frac{5}{2}}(a+b x) \, dx","Int[Csch[a + b*x]^(5/2),x]","-\frac{2 \cosh (a+b x) \text{csch}^{\frac{3}{2}}(a+b x)}{3 b}+\frac{2 i \sqrt{i \sinh (a+b x)} \sqrt{\text{csch}(a+b x)} F\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{3 b}","-\frac{2 \cosh (a+b x) \text{csch}^{\frac{3}{2}}(a+b x)}{3 b}+\frac{2 i \sqrt{i \sinh (a+b x)} \sqrt{\text{csch}(a+b x)} F\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{3 b}",1,"(-2*Cosh[a + b*x]*Csch[a + b*x]^(3/2))/(3*b) + (((2*I)/3)*Sqrt[Csch[a + b*x]]*EllipticF[(I*a - Pi/2 + I*b*x)/2, 2]*Sqrt[I*Sinh[a + b*x]])/b","A",3,3,10,0.3000,1,"{3768, 3771, 2641}"
8,1,76,0,0.0301108,"\int \text{csch}^{\frac{3}{2}}(a+b x) \, dx","Int[Csch[a + b*x]^(3/2),x]","-\frac{2 \cosh (a+b x) \sqrt{\text{csch}(a+b x)}}{b}-\frac{2 i E\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{b \sqrt{i \sinh (a+b x)} \sqrt{\text{csch}(a+b x)}}","-\frac{2 \cosh (a+b x) \sqrt{\text{csch}(a+b x)}}{b}-\frac{2 i E\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{b \sqrt{i \sinh (a+b x)} \sqrt{\text{csch}(a+b x)}}",1,"(-2*Cosh[a + b*x]*Sqrt[Csch[a + b*x]])/b - ((2*I)*EllipticE[(I*a - Pi/2 + I*b*x)/2, 2])/(b*Sqrt[Csch[a + b*x]]*Sqrt[I*Sinh[a + b*x]])","A",3,3,10,0.3000,1,"{3768, 3771, 2639}"
9,1,54,0,0.0197578,"\int \sqrt{\text{csch}(a+b x)} \, dx","Int[Sqrt[Csch[a + b*x]],x]","-\frac{2 i \sqrt{i \sinh (a+b x)} \sqrt{\text{csch}(a+b x)} F\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{b}","-\frac{2 i \sqrt{i \sinh (a+b x)} \sqrt{\text{csch}(a+b x)} F\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{b}",1,"((-2*I)*Sqrt[Csch[a + b*x]]*EllipticF[(I*a - Pi/2 + I*b*x)/2, 2]*Sqrt[I*Sinh[a + b*x]])/b","A",2,2,10,0.2000,1,"{3771, 2641}"
10,1,54,0,0.0201483,"\int \frac{1}{\sqrt{\text{csch}(a+b x)}} \, dx","Int[1/Sqrt[Csch[a + b*x]],x]","-\frac{2 i E\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{b \sqrt{i \sinh (a+b x)} \sqrt{\text{csch}(a+b x)}}","-\frac{2 i E\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{b \sqrt{i \sinh (a+b x)} \sqrt{\text{csch}(a+b x)}}",1,"((-2*I)*EllipticE[(I*a - Pi/2 + I*b*x)/2, 2])/(b*Sqrt[Csch[a + b*x]]*Sqrt[I*Sinh[a + b*x]])","A",2,2,10,0.2000,1,"{3771, 2639}"
11,1,80,0,0.0324635,"\int \frac{1}{\text{csch}^{\frac{3}{2}}(a+b x)} \, dx","Int[Csch[a + b*x]^(-3/2),x]","\frac{2 \cosh (a+b x)}{3 b \sqrt{\text{csch}(a+b x)}}+\frac{2 i \sqrt{i \sinh (a+b x)} \sqrt{\text{csch}(a+b x)} F\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{3 b}","\frac{2 \cosh (a+b x)}{3 b \sqrt{\text{csch}(a+b x)}}+\frac{2 i \sqrt{i \sinh (a+b x)} \sqrt{\text{csch}(a+b x)} F\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{3 b}",1,"(2*Cosh[a + b*x])/(3*b*Sqrt[Csch[a + b*x]]) + (((2*I)/3)*Sqrt[Csch[a + b*x]]*EllipticF[(I*a - Pi/2 + I*b*x)/2, 2]*Sqrt[I*Sinh[a + b*x]])/b","A",3,3,10,0.3000,1,"{3769, 3771, 2641}"
12,1,80,0,0.0324466,"\int \frac{1}{\text{csch}^{\frac{5}{2}}(a+b x)} \, dx","Int[Csch[a + b*x]^(-5/2),x]","\frac{2 \cosh (a+b x)}{5 b \text{csch}^{\frac{3}{2}}(a+b x)}+\frac{6 i E\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{5 b \sqrt{i \sinh (a+b x)} \sqrt{\text{csch}(a+b x)}}","\frac{2 \cosh (a+b x)}{5 b \text{csch}^{\frac{3}{2}}(a+b x)}+\frac{6 i E\left(\left.\frac{1}{2} \left(i a+i b x-\frac{\pi }{2}\right)\right|2\right)}{5 b \sqrt{i \sinh (a+b x)} \sqrt{\text{csch}(a+b x)}}",1,"(2*Cosh[a + b*x])/(5*b*Csch[a + b*x]^(3/2)) + (((6*I)/5)*EllipticE[(I*a - Pi/2 + I*b*x)/2, 2])/(b*Sqrt[Csch[a + b*x]]*Sqrt[I*Sinh[a + b*x]])","A",3,3,10,0.3000,1,"{3769, 3771, 2639}"
13,1,116,0,0.0611193,"\int (b \text{csch}(c+d x))^{7/2} \, dx","Int[(b*Csch[c + d*x])^(7/2),x]","\frac{6 b^3 \cosh (c+d x) \sqrt{b \text{csch}(c+d x)}}{5 d}+\frac{6 i b^4 E\left(\left.\frac{1}{2} \left(i c+i d x-\frac{\pi }{2}\right)\right|2\right)}{5 d \sqrt{i \sinh (c+d x)} \sqrt{b \text{csch}(c+d x)}}-\frac{2 b \cosh (c+d x) (b \text{csch}(c+d x))^{5/2}}{5 d}","\frac{6 b^3 \cosh (c+d x) \sqrt{b \text{csch}(c+d x)}}{5 d}+\frac{6 i b^4 E\left(\left.\frac{1}{2} \left(i c+i d x-\frac{\pi }{2}\right)\right|2\right)}{5 d \sqrt{i \sinh (c+d x)} \sqrt{b \text{csch}(c+d x)}}-\frac{2 b \cosh (c+d x) (b \text{csch}(c+d x))^{5/2}}{5 d}",1,"(6*b^3*Cosh[c + d*x]*Sqrt[b*Csch[c + d*x]])/(5*d) - (2*b*Cosh[c + d*x]*(b*Csch[c + d*x])^(5/2))/(5*d) + (((6*I)/5)*b^4*EllipticE[(I*c - Pi/2 + I*d*x)/2, 2])/(d*Sqrt[b*Csch[c + d*x]]*Sqrt[I*Sinh[c + d*x]])","A",4,3,12,0.2500,1,"{3768, 3771, 2639}"
14,1,88,0,0.038811,"\int (b \text{csch}(c+d x))^{5/2} \, dx","Int[(b*Csch[c + d*x])^(5/2),x]","-\frac{2 b \cosh (c+d x) (b \text{csch}(c+d x))^{3/2}}{3 d}+\frac{2 i b^2 \sqrt{i \sinh (c+d x)} F\left(\left.\frac{1}{2} \left(i c+i d x-\frac{\pi }{2}\right)\right|2\right) \sqrt{b \text{csch}(c+d x)}}{3 d}","-\frac{2 b \cosh (c+d x) (b \text{csch}(c+d x))^{3/2}}{3 d}+\frac{2 i b^2 \sqrt{i \sinh (c+d x)} F\left(\left.\frac{1}{2} \left(i c+i d x-\frac{\pi }{2}\right)\right|2\right) \sqrt{b \text{csch}(c+d x)}}{3 d}",1,"(-2*b*Cosh[c + d*x]*(b*Csch[c + d*x])^(3/2))/(3*d) + (((2*I)/3)*b^2*Sqrt[b*Csch[c + d*x]]*EllipticF[(I*c - Pi/2 + I*d*x)/2, 2]*Sqrt[I*Sinh[c + d*x]])/d","A",3,3,12,0.2500,1,"{3768, 3771, 2641}"
15,1,84,0,0.0376565,"\int (b \text{csch}(c+d x))^{3/2} \, dx","Int[(b*Csch[c + d*x])^(3/2),x]","-\frac{2 b \cosh (c+d x) \sqrt{b \text{csch}(c+d x)}}{d}-\frac{2 i b^2 E\left(\left.\frac{1}{2} \left(i c+i d x-\frac{\pi }{2}\right)\right|2\right)}{d \sqrt{i \sinh (c+d x)} \sqrt{b \text{csch}(c+d x)}}","-\frac{2 b \cosh (c+d x) \sqrt{b \text{csch}(c+d x)}}{d}-\frac{2 i b^2 E\left(\left.\frac{1}{2} \left(i c+i d x-\frac{\pi }{2}\right)\right|2\right)}{d \sqrt{i \sinh (c+d x)} \sqrt{b \text{csch}(c+d x)}}",1,"(-2*b*Cosh[c + d*x]*Sqrt[b*Csch[c + d*x]])/d - ((2*I)*b^2*EllipticE[(I*c - Pi/2 + I*d*x)/2, 2])/(d*Sqrt[b*Csch[c + d*x]]*Sqrt[I*Sinh[c + d*x]])","A",3,3,12,0.2500,1,"{3768, 3771, 2639}"
16,1,56,0,0.0218582,"\int \sqrt{b \text{csch}(c+d x)} \, dx","Int[Sqrt[b*Csch[c + d*x]],x]","-\frac{2 i \sqrt{i \sinh (c+d x)} F\left(\left.\frac{1}{2} \left(i c+i d x-\frac{\pi }{2}\right)\right|2\right) \sqrt{b \text{csch}(c+d x)}}{d}","-\frac{2 i \sqrt{i \sinh (c+d x)} F\left(\left.\frac{1}{2} \left(i c+i d x-\frac{\pi }{2}\right)\right|2\right) \sqrt{b \text{csch}(c+d x)}}{d}",1,"((-2*I)*Sqrt[b*Csch[c + d*x]]*EllipticF[(I*c - Pi/2 + I*d*x)/2, 2]*Sqrt[I*Sinh[c + d*x]])/d","A",2,2,12,0.1667,1,"{3771, 2641}"
17,1,56,0,0.0226316,"\int \frac{1}{\sqrt{b \text{csch}(c+d x)}} \, dx","Int[1/Sqrt[b*Csch[c + d*x]],x]","-\frac{2 i E\left(\left.\frac{1}{2} \left(i c+i d x-\frac{\pi }{2}\right)\right|2\right)}{d \sqrt{i \sinh (c+d x)} \sqrt{b \text{csch}(c+d x)}}","-\frac{2 i E\left(\left.\frac{1}{2} \left(i c+i d x-\frac{\pi }{2}\right)\right|2\right)}{d \sqrt{i \sinh (c+d x)} \sqrt{b \text{csch}(c+d x)}}",1,"((-2*I)*EllipticE[(I*c - Pi/2 + I*d*x)/2, 2])/(d*Sqrt[b*Csch[c + d*x]]*Sqrt[I*Sinh[c + d*x]])","A",2,2,12,0.1667,1,"{3771, 2639}"
18,1,90,0,0.0385371,"\int \frac{1}{(b \text{csch}(c+d x))^{3/2}} \, dx","Int[(b*Csch[c + d*x])^(-3/2),x]","\frac{2 \cosh (c+d x)}{3 b d \sqrt{b \text{csch}(c+d x)}}+\frac{2 i \sqrt{i \sinh (c+d x)} F\left(\left.\frac{1}{2} \left(i c+i d x-\frac{\pi }{2}\right)\right|2\right) \sqrt{b \text{csch}(c+d x)}}{3 b^2 d}","\frac{2 \cosh (c+d x)}{3 b d \sqrt{b \text{csch}(c+d x)}}+\frac{2 i \sqrt{i \sinh (c+d x)} F\left(\left.\frac{1}{2} \left(i c+i d x-\frac{\pi }{2}\right)\right|2\right) \sqrt{b \text{csch}(c+d x)}}{3 b^2 d}",1,"(2*Cosh[c + d*x])/(3*b*d*Sqrt[b*Csch[c + d*x]]) + (((2*I)/3)*Sqrt[b*Csch[c + d*x]]*EllipticF[(I*c - Pi/2 + I*d*x)/2, 2]*Sqrt[I*Sinh[c + d*x]])/(b^2*d)","A",3,3,12,0.2500,1,"{3769, 3771, 2641}"
19,1,90,0,0.0382342,"\int \frac{1}{(b \text{csch}(c+d x))^{5/2}} \, dx","Int[(b*Csch[c + d*x])^(-5/2),x]","\frac{2 \cosh (c+d x)}{5 b d (b \text{csch}(c+d x))^{3/2}}+\frac{6 i E\left(\left.\frac{1}{2} \left(i c+i d x-\frac{\pi }{2}\right)\right|2\right)}{5 b^2 d \sqrt{i \sinh (c+d x)} \sqrt{b \text{csch}(c+d x)}}","\frac{2 \cosh (c+d x)}{5 b d (b \text{csch}(c+d x))^{3/2}}+\frac{6 i E\left(\left.\frac{1}{2} \left(i c+i d x-\frac{\pi }{2}\right)\right|2\right)}{5 b^2 d \sqrt{i \sinh (c+d x)} \sqrt{b \text{csch}(c+d x)}}",1,"(2*Cosh[c + d*x])/(5*b*d*(b*Csch[c + d*x])^(3/2)) + (((6*I)/5)*EllipticE[(I*c - Pi/2 + I*d*x)/2, 2])/(b^2*d*Sqrt[b*Csch[c + d*x]]*Sqrt[I*Sinh[c + d*x]])","A",3,3,12,0.2500,1,"{3769, 3771, 2639}"
20,1,118,0,0.0564636,"\int \frac{1}{(b \text{csch}(c+d x))^{7/2}} \, dx","Int[(b*Csch[c + d*x])^(-7/2),x]","-\frac{10 \cosh (c+d x)}{21 b^3 d \sqrt{b \text{csch}(c+d x)}}-\frac{10 i \sqrt{i \sinh (c+d x)} F\left(\left.\frac{1}{2} \left(i c+i d x-\frac{\pi }{2}\right)\right|2\right) \sqrt{b \text{csch}(c+d x)}}{21 b^4 d}+\frac{2 \cosh (c+d x)}{7 b d (b \text{csch}(c+d x))^{5/2}}","-\frac{10 \cosh (c+d x)}{21 b^3 d \sqrt{b \text{csch}(c+d x)}}-\frac{10 i \sqrt{i \sinh (c+d x)} F\left(\left.\frac{1}{2} \left(i c+i d x-\frac{\pi }{2}\right)\right|2\right) \sqrt{b \text{csch}(c+d x)}}{21 b^4 d}+\frac{2 \cosh (c+d x)}{7 b d (b \text{csch}(c+d x))^{5/2}}",1,"(2*Cosh[c + d*x])/(7*b*d*(b*Csch[c + d*x])^(5/2)) - (10*Cosh[c + d*x])/(21*b^3*d*Sqrt[b*Csch[c + d*x]]) - (((10*I)/21)*Sqrt[b*Csch[c + d*x]]*EllipticF[(I*c - Pi/2 + I*d*x)/2, 2]*Sqrt[I*Sinh[c + d*x]])/(b^4*d)","A",4,3,12,0.2500,1,"{3769, 3771, 2641}"
21,1,74,0,0.0346077,"\int (b \text{csch}(c+d x))^n \, dx","Int[(b*Csch[c + d*x])^n,x]","\frac{b \cosh (c+d x) (b \text{csch}(c+d x))^{n-1} \, _2F_1\left(\frac{1}{2},\frac{1-n}{2};\frac{3-n}{2};-\sinh ^2(c+d x)\right)}{d (1-n) \sqrt{\cosh ^2(c+d x)}}","\frac{b \cosh (c+d x) (b \text{csch}(c+d x))^{n-1} \, _2F_1\left(\frac{1}{2},\frac{1-n}{2};\frac{3-n}{2};-\sinh ^2(c+d x)\right)}{d (1-n) \sqrt{\cosh ^2(c+d x)}}",1,"(b*Cosh[c + d*x]*(b*Csch[c + d*x])^(-1 + n)*Hypergeometric2F1[1/2, (1 - n)/2, (3 - n)/2, -Sinh[c + d*x]^2])/(d*(1 - n)*Sqrt[Cosh[c + d*x]^2])","A",2,2,10,0.2000,1,"{3772, 2643}"
22,1,40,0,0.0170618,"\int \left(-\text{csch}^2(x)\right)^{5/2} \, dx","Int[(-Csch[x]^2)^(5/2),x]","\frac{3}{8} \sin ^{-1}(\coth (x))+\frac{1}{4} \coth (x) \left(-\text{csch}^2(x)\right)^{3/2}+\frac{3}{8} \coth (x) \sqrt{-\text{csch}^2(x)}","\frac{3}{8} \sin ^{-1}(\coth (x))+\frac{1}{4} \coth (x) \left(-\text{csch}^2(x)\right)^{3/2}+\frac{3}{8} \coth (x) \sqrt{-\text{csch}^2(x)}",1,"(3*ArcSin[Coth[x]])/8 + (3*Coth[x]*Sqrt[-Csch[x]^2])/8 + (Coth[x]*(-Csch[x]^2)^(3/2))/4","A",4,3,10,0.3000,1,"{4122, 195, 216}"
23,1,24,0,0.0115918,"\int \left(-\text{csch}^2(x)\right)^{3/2} \, dx","Int[(-Csch[x]^2)^(3/2),x]","\frac{1}{2} \sin ^{-1}(\coth (x))+\frac{1}{2} \coth (x) \sqrt{-\text{csch}^2(x)}","\frac{1}{2} \sin ^{-1}(\coth (x))+\frac{1}{2} \coth (x) \sqrt{-\text{csch}^2(x)}",1,"ArcSin[Coth[x]]/2 + (Coth[x]*Sqrt[-Csch[x]^2])/2","A",3,3,10,0.3000,1,"{4122, 195, 216}"
24,1,3,0,0.0081699,"\int \sqrt{-\text{csch}^2(x)} \, dx","Int[Sqrt[-Csch[x]^2],x]","\sin ^{-1}(\coth (x))","\sin ^{-1}(\coth (x))",1,"ArcSin[Coth[x]]","A",2,2,10,0.2000,1,"{4122, 216}"
25,1,13,0,0.0097834,"\int \frac{1}{\sqrt{-\text{csch}^2(x)}} \, dx","Int[1/Sqrt[-Csch[x]^2],x]","\frac{\coth (x)}{\sqrt{-\text{csch}^2(x)}}","\frac{\coth (x)}{\sqrt{-\text{csch}^2(x)}}",1,"Coth[x]/Sqrt[-Csch[x]^2]","A",2,2,10,0.2000,1,"{4122, 191}"
26,1,33,0,0.014503,"\int \frac{1}{\left(-\text{csch}^2(x)\right)^{3/2}} \, dx","Int[(-Csch[x]^2)^(-3/2),x]","\frac{2 \coth (x)}{3 \sqrt{-\text{csch}^2(x)}}+\frac{\coth (x)}{3 \left(-\text{csch}^2(x)\right)^{3/2}}","\frac{2 \coth (x)}{3 \sqrt{-\text{csch}^2(x)}}+\frac{\coth (x)}{3 \left(-\text{csch}^2(x)\right)^{3/2}}",1,"Coth[x]/(3*(-Csch[x]^2)^(3/2)) + (2*Coth[x])/(3*Sqrt[-Csch[x]^2])","A",3,3,10,0.3000,1,"{4122, 192, 191}"
27,1,49,0,0.0196418,"\int \frac{1}{\left(-\text{csch}^2(x)\right)^{5/2}} \, dx","Int[(-Csch[x]^2)^(-5/2),x]","\frac{8 \coth (x)}{15 \sqrt{-\text{csch}^2(x)}}+\frac{4 \coth (x)}{15 \left(-\text{csch}^2(x)\right)^{3/2}}+\frac{\coth (x)}{5 \left(-\text{csch}^2(x)\right)^{5/2}}","\frac{8 \coth (x)}{15 \sqrt{-\text{csch}^2(x)}}+\frac{4 \coth (x)}{15 \left(-\text{csch}^2(x)\right)^{3/2}}+\frac{\coth (x)}{5 \left(-\text{csch}^2(x)\right)^{5/2}}",1,"Coth[x]/(5*(-Csch[x]^2)^(5/2)) + (4*Coth[x])/(15*(-Csch[x]^2)^(3/2)) + (8*Coth[x])/(15*Sqrt[-Csch[x]^2])","A",4,3,10,0.3000,1,"{4122, 192, 191}"
28,1,65,0,0.0241402,"\int \frac{1}{\left(-\text{csch}^2(x)\right)^{7/2}} \, dx","Int[(-Csch[x]^2)^(-7/2),x]","\frac{16 \coth (x)}{35 \sqrt{-\text{csch}^2(x)}}+\frac{8 \coth (x)}{35 \left(-\text{csch}^2(x)\right)^{3/2}}+\frac{6 \coth (x)}{35 \left(-\text{csch}^2(x)\right)^{5/2}}+\frac{\coth (x)}{7 \left(-\text{csch}^2(x)\right)^{7/2}}","\frac{16 \coth (x)}{35 \sqrt{-\text{csch}^2(x)}}+\frac{8 \coth (x)}{35 \left(-\text{csch}^2(x)\right)^{3/2}}+\frac{6 \coth (x)}{35 \left(-\text{csch}^2(x)\right)^{5/2}}+\frac{\coth (x)}{7 \left(-\text{csch}^2(x)\right)^{7/2}}",1,"Coth[x]/(7*(-Csch[x]^2)^(7/2)) + (6*Coth[x])/(35*(-Csch[x]^2)^(5/2)) + (8*Coth[x])/(35*(-Csch[x]^2)^(3/2)) + (16*Coth[x])/(35*Sqrt[-Csch[x]^2])","A",5,3,10,0.3000,1,"{4122, 192, 191}"
29,1,65,0,0.0340968,"\int \left(a \text{csch}^2(x)\right)^{5/2} \, dx","Int[(a*Csch[x]^2)^(5/2),x]","\frac{3}{8} a^2 \coth (x) \sqrt{a \text{csch}^2(x)}-\frac{3}{8} a^{5/2} \tanh ^{-1}\left(\frac{\sqrt{a} \coth (x)}{\sqrt{a \text{csch}^2(x)}}\right)-\frac{1}{4} a \coth (x) \left(a \text{csch}^2(x)\right)^{3/2}","\frac{3}{8} a^2 \coth (x) \sqrt{a \text{csch}^2(x)}-\frac{3}{8} a^{5/2} \tanh ^{-1}\left(\frac{\sqrt{a} \coth (x)}{\sqrt{a \text{csch}^2(x)}}\right)-\frac{1}{4} a \coth (x) \left(a \text{csch}^2(x)\right)^{3/2}",1,"(-3*a^(5/2)*ArcTanh[(Sqrt[a]*Coth[x])/Sqrt[a*Csch[x]^2]])/8 + (3*a^2*Coth[x]*Sqrt[a*Csch[x]^2])/8 - (a*Coth[x]*(a*Csch[x]^2)^(3/2))/4","A",5,4,10,0.4000,1,"{4122, 195, 217, 206}"
30,1,46,0,0.0251034,"\int \left(a \text{csch}^2(x)\right)^{3/2} \, dx","Int[(a*Csch[x]^2)^(3/2),x]","\frac{1}{2} a^{3/2} \tanh ^{-1}\left(\frac{\sqrt{a} \coth (x)}{\sqrt{a \text{csch}^2(x)}}\right)-\frac{1}{2} a \coth (x) \sqrt{a \text{csch}^2(x)}","\frac{1}{2} a^{3/2} \tanh ^{-1}\left(\frac{\sqrt{a} \coth (x)}{\sqrt{a \text{csch}^2(x)}}\right)-\frac{1}{2} a \coth (x) \sqrt{a \text{csch}^2(x)}",1,"(a^(3/2)*ArcTanh[(Sqrt[a]*Coth[x])/Sqrt[a*Csch[x]^2]])/2 - (a*Coth[x]*Sqrt[a*Csch[x]^2])/2","A",4,4,10,0.4000,1,"{4122, 195, 217, 206}"
31,1,26,0,0.018236,"\int \sqrt{a \text{csch}^2(x)} \, dx","Int[Sqrt[a*Csch[x]^2],x]","-\sqrt{a} \tanh ^{-1}\left(\frac{\sqrt{a} \coth (x)}{\sqrt{a \text{csch}^2(x)}}\right)","-\sqrt{a} \tanh ^{-1}\left(\frac{\sqrt{a} \coth (x)}{\sqrt{a \text{csch}^2(x)}}\right)",1,"-(Sqrt[a]*ArcTanh[(Sqrt[a]*Coth[x])/Sqrt[a*Csch[x]^2]])","A",3,3,10,0.3000,1,"{4122, 217, 206}"
32,1,13,0,0.0135736,"\int \frac{1}{\sqrt{a \text{csch}^2(x)}} \, dx","Int[1/Sqrt[a*Csch[x]^2],x]","\frac{\coth (x)}{\sqrt{a \text{csch}^2(x)}}","\frac{\coth (x)}{\sqrt{a \text{csch}^2(x)}}",1,"Coth[x]/Sqrt[a*Csch[x]^2]","A",2,2,10,0.2000,1,"{4122, 191}"
33,1,36,0,0.0216984,"\int \frac{1}{\left(a \text{csch}^2(x)\right)^{3/2}} \, dx","Int[(a*Csch[x]^2)^(-3/2),x]","\frac{\coth (x)}{3 \left(a \text{csch}^2(x)\right)^{3/2}}-\frac{2 \coth (x)}{3 a \sqrt{a \text{csch}^2(x)}}","\frac{\coth (x)}{3 \left(a \text{csch}^2(x)\right)^{3/2}}-\frac{2 \coth (x)}{3 a \sqrt{a \text{csch}^2(x)}}",1,"Coth[x]/(3*(a*Csch[x]^2)^(3/2)) - (2*Coth[x])/(3*a*Sqrt[a*Csch[x]^2])","A",3,3,10,0.3000,1,"{4122, 192, 191}"
34,1,55,0,0.0303103,"\int \frac{1}{\left(a \text{csch}^2(x)\right)^{5/2}} \, dx","Int[(a*Csch[x]^2)^(-5/2),x]","\frac{8 \coth (x)}{15 a^2 \sqrt{a \text{csch}^2(x)}}-\frac{4 \coth (x)}{15 a \left(a \text{csch}^2(x)\right)^{3/2}}+\frac{\coth (x)}{5 \left(a \text{csch}^2(x)\right)^{5/2}}","\frac{8 \coth (x)}{15 a^2 \sqrt{a \text{csch}^2(x)}}-\frac{4 \coth (x)}{15 a \left(a \text{csch}^2(x)\right)^{3/2}}+\frac{\coth (x)}{5 \left(a \text{csch}^2(x)\right)^{5/2}}",1,"Coth[x]/(5*(a*Csch[x]^2)^(5/2)) - (4*Coth[x])/(15*a*(a*Csch[x]^2)^(3/2)) + (8*Coth[x])/(15*a^2*Sqrt[a*Csch[x]^2])","A",4,3,10,0.3000,1,"{4122, 192, 191}"
35,1,74,0,0.0401579,"\int \frac{1}{\left(a \text{csch}^2(x)\right)^{7/2}} \, dx","Int[(a*Csch[x]^2)^(-7/2),x]","-\frac{16 \coth (x)}{35 a^3 \sqrt{a \text{csch}^2(x)}}+\frac{8 \coth (x)}{35 a^2 \left(a \text{csch}^2(x)\right)^{3/2}}-\frac{6 \coth (x)}{35 a \left(a \text{csch}^2(x)\right)^{5/2}}+\frac{\coth (x)}{7 \left(a \text{csch}^2(x)\right)^{7/2}}","-\frac{16 \coth (x)}{35 a^3 \sqrt{a \text{csch}^2(x)}}+\frac{8 \coth (x)}{35 a^2 \left(a \text{csch}^2(x)\right)^{3/2}}-\frac{6 \coth (x)}{35 a \left(a \text{csch}^2(x)\right)^{5/2}}+\frac{\coth (x)}{7 \left(a \text{csch}^2(x)\right)^{7/2}}",1,"Coth[x]/(7*(a*Csch[x]^2)^(7/2)) - (6*Coth[x])/(35*a*(a*Csch[x]^2)^(5/2)) + (8*Coth[x])/(35*a^2*(a*Csch[x]^2)^(3/2)) - (16*Coth[x])/(35*a^3*Sqrt[a*Csch[x]^2])","A",5,3,10,0.3000,1,"{4122, 192, 191}"
36,1,135,0,0.0698942,"\int \left(a \text{csch}^3(x)\right)^{5/2} \, dx","Int[(a*Csch[x]^3)^(5/2),x]","-\frac{2}{13} a^2 \coth (x) \text{csch}^4(x) \sqrt{a \text{csch}^3(x)}+\frac{22}{117} a^2 \coth (x) \text{csch}^2(x) \sqrt{a \text{csch}^3(x)}-\frac{154}{585} a^2 \coth (x) \sqrt{a \text{csch}^3(x)}+\frac{154}{195} a^2 \sinh (x) \cosh (x) \sqrt{a \text{csch}^3(x)}-\frac{154 i a^2 \sinh ^2(x) E\left(\left.\frac{\pi }{4}-\frac{i x}{2}\right|2\right) \sqrt{a \text{csch}^3(x)}}{195 \sqrt{i \sinh (x)}}","-\frac{2}{13} a^2 \coth (x) \text{csch}^4(x) \sqrt{a \text{csch}^3(x)}+\frac{22}{117} a^2 \coth (x) \text{csch}^2(x) \sqrt{a \text{csch}^3(x)}-\frac{154}{585} a^2 \coth (x) \sqrt{a \text{csch}^3(x)}+\frac{154}{195} a^2 \sinh (x) \cosh (x) \sqrt{a \text{csch}^3(x)}-\frac{154 i a^2 \sinh ^2(x) E\left(\left.\frac{\pi }{4}-\frac{i x}{2}\right|2\right) \sqrt{a \text{csch}^3(x)}}{195 \sqrt{i \sinh (x)}}",1,"(-154*a^2*Coth[x]*Sqrt[a*Csch[x]^3])/585 + (22*a^2*Coth[x]*Csch[x]^2*Sqrt[a*Csch[x]^3])/117 - (2*a^2*Coth[x]*Csch[x]^4*Sqrt[a*Csch[x]^3])/13 + (154*a^2*Cosh[x]*Sqrt[a*Csch[x]^3]*Sinh[x])/195 - (((154*I)/195)*a^2*Sqrt[a*Csch[x]^3]*EllipticE[Pi/4 - (I/2)*x, 2]*Sinh[x]^2)/Sqrt[I*Sinh[x]]","A",7,4,10,0.4000,1,"{4123, 3768, 3771, 2639}"
37,1,81,0,0.0452946,"\int \left(a \text{csch}^3(x)\right)^{3/2} \, dx","Int[(a*Csch[x]^3)^(3/2),x]","\frac{10}{21} a \cosh (x) \sqrt{a \text{csch}^3(x)}-\frac{2}{7} a \coth (x) \text{csch}(x) \sqrt{a \text{csch}^3(x)}+\frac{10}{21} i a \sqrt{i \sinh (x)} \sinh (x) F\left(\left.\frac{\pi }{4}-\frac{i x}{2}\right|2\right) \sqrt{a \text{csch}^3(x)}","\frac{10}{21} a \cosh (x) \sqrt{a \text{csch}^3(x)}-\frac{2}{7} a \coth (x) \text{csch}(x) \sqrt{a \text{csch}^3(x)}+\frac{10}{21} i a \sqrt{i \sinh (x)} \sinh (x) F\left(\left.\frac{\pi }{4}-\frac{i x}{2}\right|2\right) \sqrt{a \text{csch}^3(x)}",1,"(10*a*Cosh[x]*Sqrt[a*Csch[x]^3])/21 - (2*a*Coth[x]*Csch[x]*Sqrt[a*Csch[x]^3])/7 + ((10*I)/21)*a*Sqrt[a*Csch[x]^3]*EllipticF[Pi/4 - (I/2)*x, 2]*Sqrt[I*Sinh[x]]*Sinh[x]","A",5,4,10,0.4000,1,"{4123, 3768, 3771, 2641}"
38,1,60,0,0.0338612,"\int \sqrt{a \text{csch}^3(x)} \, dx","Int[Sqrt[a*Csch[x]^3],x]","-2 \sinh (x) \cosh (x) \sqrt{a \text{csch}^3(x)}+\frac{2 i \sinh ^2(x) E\left(\left.\frac{\pi }{4}-\frac{i x}{2}\right|2\right) \sqrt{a \text{csch}^3(x)}}{\sqrt{i \sinh (x)}}","-2 \sinh (x) \cosh (x) \sqrt{a \text{csch}^3(x)}-2 i (i \sinh (x))^{3/2} E\left(\left.\frac{\pi }{4}-\frac{i x}{2}\right|2\right) \sqrt{a \text{csch}^3(x)}",1,"-2*Cosh[x]*Sqrt[a*Csch[x]^3]*Sinh[x] + ((2*I)*Sqrt[a*Csch[x]^3]*EllipticE[Pi/4 - (I/2)*x, 2]*Sinh[x]^2)/Sqrt[I*Sinh[x]]","A",4,4,10,0.4000,1,"{4123, 3768, 3771, 2639}"
39,1,62,0,0.0341976,"\int \frac{1}{\sqrt{a \text{csch}^3(x)}} \, dx","Int[1/Sqrt[a*Csch[x]^3],x]","\frac{2 \coth (x)}{3 \sqrt{a \text{csch}^3(x)}}-\frac{2 i \sqrt{i \sinh (x)} \text{csch}^2(x) F\left(\left.\frac{\pi }{4}-\frac{i x}{2}\right|2\right)}{3 \sqrt{a \text{csch}^3(x)}}","\frac{2 \coth (x)}{3 \sqrt{a \text{csch}^3(x)}}-\frac{2 i \sqrt{i \sinh (x)} \text{csch}^2(x) F\left(\left.\frac{\pi }{4}-\frac{i x}{2}\right|2\right)}{3 \sqrt{a \text{csch}^3(x)}}",1,"(2*Coth[x])/(3*Sqrt[a*Csch[x]^3]) - (((2*I)/3)*Csch[x]^2*EllipticF[Pi/4 - (I/2)*x, 2]*Sqrt[I*Sinh[x]])/Sqrt[a*Csch[x]^3]","A",4,4,10,0.4000,1,"{4123, 3769, 3771, 2641}"
40,1,89,0,0.0479715,"\int \frac{1}{\left(a \text{csch}^3(x)\right)^{3/2}} \, dx","Int[(a*Csch[x]^3)^(-3/2),x]","-\frac{14 \cosh (x)}{45 a \sqrt{a \text{csch}^3(x)}}+\frac{2 \sinh ^2(x) \cosh (x)}{9 a \sqrt{a \text{csch}^3(x)}}+\frac{14 i \text{csch}(x) E\left(\left.\frac{\pi }{4}-\frac{i x}{2}\right|2\right)}{15 a \sqrt{i \sinh (x)} \sqrt{a \text{csch}^3(x)}}","-\frac{14 \cosh (x)}{45 a \sqrt{a \text{csch}^3(x)}}+\frac{2 \sinh ^2(x) \cosh (x)}{9 a \sqrt{a \text{csch}^3(x)}}+\frac{14 i \text{csch}(x) E\left(\left.\frac{\pi }{4}-\frac{i x}{2}\right|2\right)}{15 a \sqrt{i \sinh (x)} \sqrt{a \text{csch}^3(x)}}",1,"(-14*Cosh[x])/(45*a*Sqrt[a*Csch[x]^3]) + (((14*I)/15)*Csch[x]*EllipticE[Pi/4 - (I/2)*x, 2])/(a*Sqrt[a*Csch[x]^3]*Sqrt[I*Sinh[x]]) + (2*Cosh[x]*Sinh[x]^2)/(9*a*Sqrt[a*Csch[x]^3])","A",5,4,10,0.4000,1,"{4123, 3769, 3771, 2639}"
41,1,135,0,0.0707349,"\int \frac{1}{\left(a \text{csch}^3(x)\right)^{5/2}} \, dx","Int[(a*Csch[x]^3)^(-5/2),x]","-\frac{26 \coth (x)}{77 a^2 \sqrt{a \text{csch}^3(x)}}+\frac{2 \sinh ^5(x) \cosh (x)}{15 a^2 \sqrt{a \text{csch}^3(x)}}-\frac{26 \sinh ^3(x) \cosh (x)}{165 a^2 \sqrt{a \text{csch}^3(x)}}+\frac{78 \sinh (x) \cosh (x)}{385 a^2 \sqrt{a \text{csch}^3(x)}}+\frac{26 i \sqrt{i \sinh (x)} \text{csch}^2(x) F\left(\left.\frac{\pi }{4}-\frac{i x}{2}\right|2\right)}{77 a^2 \sqrt{a \text{csch}^3(x)}}","-\frac{26 \coth (x)}{77 a^2 \sqrt{a \text{csch}^3(x)}}+\frac{2 \sinh ^5(x) \cosh (x)}{15 a^2 \sqrt{a \text{csch}^3(x)}}-\frac{26 \sinh ^3(x) \cosh (x)}{165 a^2 \sqrt{a \text{csch}^3(x)}}+\frac{78 \sinh (x) \cosh (x)}{385 a^2 \sqrt{a \text{csch}^3(x)}}+\frac{26 i \sqrt{i \sinh (x)} \text{csch}^2(x) F\left(\left.\frac{\pi }{4}-\frac{i x}{2}\right|2\right)}{77 a^2 \sqrt{a \text{csch}^3(x)}}",1,"(-26*Coth[x])/(77*a^2*Sqrt[a*Csch[x]^3]) + (((26*I)/77)*Csch[x]^2*EllipticF[Pi/4 - (I/2)*x, 2]*Sqrt[I*Sinh[x]])/(a^2*Sqrt[a*Csch[x]^3]) + (78*Cosh[x]*Sinh[x])/(385*a^2*Sqrt[a*Csch[x]^3]) - (26*Cosh[x]*Sinh[x]^3)/(165*a^2*Sqrt[a*Csch[x]^3]) + (2*Cosh[x]*Sinh[x]^5)/(15*a^2*Sqrt[a*Csch[x]^3])","A",7,4,10,0.4000,1,"{4123, 3769, 3771, 2641}"
42,1,164,0,0.0421675,"\int \left(a \text{csch}^4(x)\right)^{7/2} \, dx","Int[(a*Csch[x]^4)^(7/2),x]","-\frac{1}{13} a^3 \cosh ^2(x) \coth ^{11}(x) \sqrt{a \text{csch}^4(x)}+\frac{6}{11} a^3 \cosh ^2(x) \coth ^9(x) \sqrt{a \text{csch}^4(x)}-\frac{5}{3} a^3 \cosh ^2(x) \coth ^7(x) \sqrt{a \text{csch}^4(x)}+\frac{20}{7} a^3 \cosh ^2(x) \coth ^5(x) \sqrt{a \text{csch}^4(x)}-3 a^3 \cosh ^2(x) \coth ^3(x) \sqrt{a \text{csch}^4(x)}+2 a^3 \cosh ^2(x) \coth (x) \sqrt{a \text{csch}^4(x)}-a^3 \sinh (x) \cosh (x) \sqrt{a \text{csch}^4(x)}","-\frac{1}{13} a^3 \cosh ^2(x) \coth ^{11}(x) \sqrt{a \text{csch}^4(x)}+\frac{6}{11} a^3 \cosh ^2(x) \coth ^9(x) \sqrt{a \text{csch}^4(x)}-\frac{5}{3} a^3 \cosh ^2(x) \coth ^7(x) \sqrt{a \text{csch}^4(x)}+\frac{20}{7} a^3 \cosh ^2(x) \coth ^5(x) \sqrt{a \text{csch}^4(x)}-3 a^3 \cosh ^2(x) \coth ^3(x) \sqrt{a \text{csch}^4(x)}+2 a^3 \cosh ^2(x) \coth (x) \sqrt{a \text{csch}^4(x)}-a^3 \sinh (x) \cosh (x) \sqrt{a \text{csch}^4(x)}",1,"2*a^3*Cosh[x]^2*Coth[x]*Sqrt[a*Csch[x]^4] - 3*a^3*Cosh[x]^2*Coth[x]^3*Sqrt[a*Csch[x]^4] + (20*a^3*Cosh[x]^2*Coth[x]^5*Sqrt[a*Csch[x]^4])/7 - (5*a^3*Cosh[x]^2*Coth[x]^7*Sqrt[a*Csch[x]^4])/3 + (6*a^3*Cosh[x]^2*Coth[x]^9*Sqrt[a*Csch[x]^4])/11 - (a^3*Cosh[x]^2*Coth[x]^11*Sqrt[a*Csch[x]^4])/13 - a^3*Cosh[x]*Sqrt[a*Csch[x]^4]*Sinh[x]","A",3,2,10,0.2000,1,"{4123, 3767}"
43,1,118,0,0.0322146,"\int \left(a \text{csch}^4(x)\right)^{5/2} \, dx","Int[(a*Csch[x]^4)^(5/2),x]","-\frac{1}{9} a^2 \cosh ^2(x) \coth ^7(x) \sqrt{a \text{csch}^4(x)}+\frac{4}{7} a^2 \cosh ^2(x) \coth ^5(x) \sqrt{a \text{csch}^4(x)}-\frac{6}{5} a^2 \cosh ^2(x) \coth ^3(x) \sqrt{a \text{csch}^4(x)}+\frac{4}{3} a^2 \cosh ^2(x) \coth (x) \sqrt{a \text{csch}^4(x)}-a^2 \sinh (x) \cosh (x) \sqrt{a \text{csch}^4(x)}","-\frac{1}{9} a^2 \cosh ^2(x) \coth ^7(x) \sqrt{a \text{csch}^4(x)}+\frac{4}{7} a^2 \cosh ^2(x) \coth ^5(x) \sqrt{a \text{csch}^4(x)}-\frac{6}{5} a^2 \cosh ^2(x) \coth ^3(x) \sqrt{a \text{csch}^4(x)}+\frac{4}{3} a^2 \cosh ^2(x) \coth (x) \sqrt{a \text{csch}^4(x)}-a^2 \sinh (x) \cosh (x) \sqrt{a \text{csch}^4(x)}",1,"(4*a^2*Cosh[x]^2*Coth[x]*Sqrt[a*Csch[x]^4])/3 - (6*a^2*Cosh[x]^2*Coth[x]^3*Sqrt[a*Csch[x]^4])/5 + (4*a^2*Cosh[x]^2*Coth[x]^5*Sqrt[a*Csch[x]^4])/7 - (a^2*Cosh[x]^2*Coth[x]^7*Sqrt[a*Csch[x]^4])/9 - a^2*Cosh[x]*Sqrt[a*Csch[x]^4]*Sinh[x]","A",3,2,10,0.2000,1,"{4123, 3767}"
44,1,62,0,0.0226303,"\int \left(a \text{csch}^4(x)\right)^{3/2} \, dx","Int[(a*Csch[x]^4)^(3/2),x]","-\frac{1}{5} a \cosh ^2(x) \coth ^3(x) \sqrt{a \text{csch}^4(x)}+\frac{2}{3} a \cosh ^2(x) \coth (x) \sqrt{a \text{csch}^4(x)}-a \sinh (x) \cosh (x) \sqrt{a \text{csch}^4(x)}","-\frac{1}{5} a \cosh ^2(x) \coth ^3(x) \sqrt{a \text{csch}^4(x)}+\frac{2}{3} a \cosh ^2(x) \coth (x) \sqrt{a \text{csch}^4(x)}-a \sinh (x) \cosh (x) \sqrt{a \text{csch}^4(x)}",1,"(2*a*Cosh[x]^2*Coth[x]*Sqrt[a*Csch[x]^4])/3 - (a*Cosh[x]^2*Coth[x]^3*Sqrt[a*Csch[x]^4])/5 - a*Cosh[x]*Sqrt[a*Csch[x]^4]*Sinh[x]","A",3,2,10,0.2000,1,"{4123, 3767}"
45,1,16,0,0.0167914,"\int \sqrt{a \text{csch}^4(x)} \, dx","Int[Sqrt[a*Csch[x]^4],x]","\sinh (x) (-\cosh (x)) \sqrt{a \text{csch}^4(x)}","\sinh (x) (-\cosh (x)) \sqrt{a \text{csch}^4(x)}",1,"-(Cosh[x]*Sqrt[a*Csch[x]^4]*Sinh[x])","A",3,3,10,0.3000,1,"{4123, 3767, 8}"
46,1,36,0,0.0161932,"\int \frac{1}{\sqrt{a \text{csch}^4(x)}} \, dx","Int[1/Sqrt[a*Csch[x]^4],x]","\frac{\coth (x)}{2 \sqrt{a \text{csch}^4(x)}}-\frac{x \text{csch}^2(x)}{2 \sqrt{a \text{csch}^4(x)}}","\frac{\coth (x)}{2 \sqrt{a \text{csch}^4(x)}}-\frac{x \text{csch}^2(x)}{2 \sqrt{a \text{csch}^4(x)}}",1,"Coth[x]/(2*Sqrt[a*Csch[x]^4]) - (x*Csch[x]^2)/(2*Sqrt[a*Csch[x]^4])","A",3,3,10,0.3000,1,"{4123, 2635, 8}"
47,1,86,0,0.0327562,"\int \frac{1}{\left(a \text{csch}^4(x)\right)^{3/2}} \, dx","Int[(a*Csch[x]^4)^(-3/2),x]","-\frac{5 x \text{csch}^2(x)}{16 a \sqrt{a \text{csch}^4(x)}}+\frac{5 \coth (x)}{16 a \sqrt{a \text{csch}^4(x)}}+\frac{\sinh ^3(x) \cosh (x)}{6 a \sqrt{a \text{csch}^4(x)}}-\frac{5 \sinh (x) \cosh (x)}{24 a \sqrt{a \text{csch}^4(x)}}","-\frac{5 x \text{csch}^2(x)}{16 a \sqrt{a \text{csch}^4(x)}}+\frac{5 \coth (x)}{16 a \sqrt{a \text{csch}^4(x)}}+\frac{\sinh ^3(x) \cosh (x)}{6 a \sqrt{a \text{csch}^4(x)}}-\frac{5 \sinh (x) \cosh (x)}{24 a \sqrt{a \text{csch}^4(x)}}",1,"(5*Coth[x])/(16*a*Sqrt[a*Csch[x]^4]) - (5*x*Csch[x]^2)/(16*a*Sqrt[a*Csch[x]^4]) - (5*Cosh[x]*Sinh[x])/(24*a*Sqrt[a*Csch[x]^4]) + (Cosh[x]*Sinh[x]^3)/(6*a*Sqrt[a*Csch[x]^4])","A",5,3,10,0.3000,1,"{4123, 2635, 8}"
48,1,132,0,0.0511113,"\int \frac{1}{\left(a \text{csch}^4(x)\right)^{5/2}} \, dx","Int[(a*Csch[x]^4)^(-5/2),x]","-\frac{63 x \text{csch}^2(x)}{256 a^2 \sqrt{a \text{csch}^4(x)}}+\frac{63 \coth (x)}{256 a^2 \sqrt{a \text{csch}^4(x)}}+\frac{\sinh ^7(x) \cosh (x)}{10 a^2 \sqrt{a \text{csch}^4(x)}}-\frac{9 \sinh ^5(x) \cosh (x)}{80 a^2 \sqrt{a \text{csch}^4(x)}}+\frac{21 \sinh ^3(x) \cosh (x)}{160 a^2 \sqrt{a \text{csch}^4(x)}}-\frac{21 \sinh (x) \cosh (x)}{128 a^2 \sqrt{a \text{csch}^4(x)}}","-\frac{63 x \text{csch}^2(x)}{256 a^2 \sqrt{a \text{csch}^4(x)}}+\frac{63 \coth (x)}{256 a^2 \sqrt{a \text{csch}^4(x)}}+\frac{\sinh ^7(x) \cosh (x)}{10 a^2 \sqrt{a \text{csch}^4(x)}}-\frac{9 \sinh ^5(x) \cosh (x)}{80 a^2 \sqrt{a \text{csch}^4(x)}}+\frac{21 \sinh ^3(x) \cosh (x)}{160 a^2 \sqrt{a \text{csch}^4(x)}}-\frac{21 \sinh (x) \cosh (x)}{128 a^2 \sqrt{a \text{csch}^4(x)}}",1,"(63*Coth[x])/(256*a^2*Sqrt[a*Csch[x]^4]) - (63*x*Csch[x]^2)/(256*a^2*Sqrt[a*Csch[x]^4]) - (21*Cosh[x]*Sinh[x])/(128*a^2*Sqrt[a*Csch[x]^4]) + (21*Cosh[x]*Sinh[x]^3)/(160*a^2*Sqrt[a*Csch[x]^4]) - (9*Cosh[x]*Sinh[x]^5)/(80*a^2*Sqrt[a*Csch[x]^4]) + (Cosh[x]*Sinh[x]^7)/(10*a^2*Sqrt[a*Csch[x]^4])","A",7,3,10,0.3000,1,"{4123, 2635, 8}"
49,1,32,0,0.0148094,"\int \frac{1}{a+i a \text{csch}(a+b x)} \, dx","Int[(a + I*a*Csch[a + b*x])^(-1),x]","\frac{x}{a}-\frac{\coth (a+b x)}{b (a+i a \text{csch}(a+b x))}","\frac{x}{a}-\frac{\coth (a+b x)}{b (a+i a \text{csch}(a+b x))}",1,"x/a - Coth[a + b*x]/(b*(a + I*a*Csch[a + b*x]))","A",2,2,15,0.1333,1,"{3777, 8}"
50,1,32,0,0.0153436,"\int \frac{1}{a-i a \text{csch}(a+b x)} \, dx","Int[(a - I*a*Csch[a + b*x])^(-1),x]","\frac{x}{a}-\frac{\coth (a+b x)}{b (a-i a \text{csch}(a+b x))}","\frac{x}{a}-\frac{\coth (a+b x)}{b (a-i a \text{csch}(a+b x))}",1,"x/a - Coth[a + b*x]/(b*(a - I*a*Csch[a + b*x]))","A",2,2,15,0.1333,1,"{3777, 8}"
51,1,107,0,0.1270797,"\int (a+i a \text{csch}(c+d x))^{5/2} \, dx","Int[(a + I*a*Csch[c + d*x])^(5/2),x]","\frac{14 a^3 \coth (c+d x)}{3 d \sqrt{a+i a \text{csch}(c+d x)}}+\frac{2 a^2 \coth (c+d x) \sqrt{a+i a \text{csch}(c+d x)}}{3 d}+\frac{2 a^{5/2} \tanh ^{-1}\left(\frac{\sqrt{a} \coth (c+d x)}{\sqrt{a+i a \text{csch}(c+d x)}}\right)}{d}","\frac{14 a^3 \coth (c+d x)}{3 d \sqrt{a+i a \text{csch}(c+d x)}}+\frac{2 a^2 \coth (c+d x) \sqrt{a+i a \text{csch}(c+d x)}}{3 d}+\frac{2 a^{5/2} \tanh ^{-1}\left(\frac{\sqrt{a} \coth (c+d x)}{\sqrt{a+i a \text{csch}(c+d x)}}\right)}{d}",1,"(2*a^(5/2)*ArcTanh[(Sqrt[a]*Coth[c + d*x])/Sqrt[a + I*a*Csch[c + d*x]]])/d + (14*a^3*Coth[c + d*x])/(3*d*Sqrt[a + I*a*Csch[c + d*x]]) + (2*a^2*Coth[c + d*x]*Sqrt[a + I*a*Csch[c + d*x]])/(3*d)","A",5,5,17,0.2941,1,"{3775, 3915, 3774, 203, 3792}"
52,1,72,0,0.0415648,"\int (a+i a \text{csch}(c+d x))^{3/2} \, dx","Int[(a + I*a*Csch[c + d*x])^(3/2),x]","\frac{2 a^2 \coth (c+d x)}{d \sqrt{a+i a \text{csch}(c+d x)}}+\frac{2 a^{3/2} \tanh ^{-1}\left(\frac{\sqrt{a} \coth (c+d x)}{\sqrt{a+i a \text{csch}(c+d x)}}\right)}{d}","\frac{2 a^2 \coth (c+d x)}{d \sqrt{a+i a \text{csch}(c+d x)}}+\frac{2 a^{3/2} \tanh ^{-1}\left(\frac{\sqrt{a} \coth (c+d x)}{\sqrt{a+i a \text{csch}(c+d x)}}\right)}{d}",1,"(2*a^(3/2)*ArcTanh[(Sqrt[a]*Coth[c + d*x])/Sqrt[a + I*a*Csch[c + d*x]]])/d + (2*a^2*Coth[c + d*x])/(d*Sqrt[a + I*a*Csch[c + d*x]])","A",4,4,17,0.2353,1,"{3775, 21, 3774, 203}"
53,1,40,0,0.0197913,"\int \sqrt{a+i a \text{csch}(c+d x)} \, dx","Int[Sqrt[a + I*a*Csch[c + d*x]],x]","\frac{2 \sqrt{a} \tanh ^{-1}\left(\frac{\sqrt{a} \coth (c+d x)}{\sqrt{a+i a \text{csch}(c+d x)}}\right)}{d}","\frac{2 \sqrt{a} \tanh ^{-1}\left(\frac{\sqrt{a} \coth (c+d x)}{\sqrt{a+i a \text{csch}(c+d x)}}\right)}{d}",1,"(2*Sqrt[a]*ArcTanh[(Sqrt[a]*Coth[c + d*x])/Sqrt[a + I*a*Csch[c + d*x]]])/d","A",2,2,17,0.1176,1,"{3774, 203}"
54,1,91,0,0.0873695,"\int \frac{1}{\sqrt{a+i a \text{csch}(c+d x)}} \, dx","Int[1/Sqrt[a + I*a*Csch[c + d*x]],x]","\frac{2 \tanh ^{-1}\left(\frac{\sqrt{a} \coth (c+d x)}{\sqrt{a+i a \text{csch}(c+d x)}}\right)}{\sqrt{a} d}-\frac{\sqrt{2} \tanh ^{-1}\left(\frac{\sqrt{a} \coth (c+d x)}{\sqrt{2} \sqrt{a+i a \text{csch}(c+d x)}}\right)}{\sqrt{a} d}","\frac{2 \tanh ^{-1}\left(\frac{\sqrt{a} \coth (c+d x)}{\sqrt{a+i a \text{csch}(c+d x)}}\right)}{\sqrt{a} d}-\frac{\sqrt{2} \tanh ^{-1}\left(\frac{\sqrt{a} \coth (c+d x)}{\sqrt{2} \sqrt{a+i a \text{csch}(c+d x)}}\right)}{\sqrt{a} d}",1,"(2*ArcTanh[(Sqrt[a]*Coth[c + d*x])/Sqrt[a + I*a*Csch[c + d*x]]])/(Sqrt[a]*d) - (Sqrt[2]*ArcTanh[(Sqrt[a]*Coth[c + d*x])/(Sqrt[2]*Sqrt[a + I*a*Csch[c + d*x]])])/(Sqrt[a]*d)","A",5,4,17,0.2353,1,"{3776, 3774, 203, 3795}"
55,1,123,0,0.1459282,"\int \frac{1}{(a+i a \text{csch}(c+d x))^{3/2}} \, dx","Int[(a + I*a*Csch[c + d*x])^(-3/2),x]","\frac{2 \tanh ^{-1}\left(\frac{\sqrt{a} \coth (c+d x)}{\sqrt{a+i a \text{csch}(c+d x)}}\right)}{a^{3/2} d}-\frac{5 \tanh ^{-1}\left(\frac{\sqrt{a} \coth (c+d x)}{\sqrt{2} \sqrt{a+i a \text{csch}(c+d x)}}\right)}{2 \sqrt{2} a^{3/2} d}-\frac{\coth (c+d x)}{2 d (a+i a \text{csch}(c+d x))^{3/2}}","\frac{2 \tanh ^{-1}\left(\frac{\sqrt{a} \coth (c+d x)}{\sqrt{a+i a \text{csch}(c+d x)}}\right)}{a^{3/2} d}-\frac{5 \tanh ^{-1}\left(\frac{\sqrt{a} \coth (c+d x)}{\sqrt{2} \sqrt{a+i a \text{csch}(c+d x)}}\right)}{2 \sqrt{2} a^{3/2} d}-\frac{\coth (c+d x)}{2 d (a+i a \text{csch}(c+d x))^{3/2}}",1,"(2*ArcTanh[(Sqrt[a]*Coth[c + d*x])/Sqrt[a + I*a*Csch[c + d*x]]])/(a^(3/2)*d) - (5*ArcTanh[(Sqrt[a]*Coth[c + d*x])/(Sqrt[2]*Sqrt[a + I*a*Csch[c + d*x]])])/(2*Sqrt[2]*a^(3/2)*d) - Coth[c + d*x]/(2*d*(a + I*a*Csch[c + d*x])^(3/2))","A",6,5,17,0.2941,1,"{3777, 3920, 3774, 203, 3795}"
56,1,40,0,0.0226346,"\int \sqrt{a-i a \text{csch}(c+d x)} \, dx","Int[Sqrt[a - I*a*Csch[c + d*x]],x]","\frac{2 \sqrt{a} \tanh ^{-1}\left(\frac{\sqrt{a} \coth (c+d x)}{\sqrt{a-i a \text{csch}(c+d x)}}\right)}{d}","\frac{2 \sqrt{a} \tanh ^{-1}\left(\frac{\sqrt{a} \coth (c+d x)}{\sqrt{a-i a \text{csch}(c+d x)}}\right)}{d}",1,"(2*Sqrt[a]*ArcTanh[(Sqrt[a]*Coth[c + d*x])/Sqrt[a - I*a*Csch[c + d*x]]])/d","A",2,2,17,0.1176,1,"{3774, 203}"
57,1,91,0,0.0843303,"\int \frac{1}{\sqrt{a-i a \text{csch}(c+d x)}} \, dx","Int[1/Sqrt[a - I*a*Csch[c + d*x]],x]","\frac{2 \tanh ^{-1}\left(\frac{\sqrt{a} \coth (c+d x)}{\sqrt{a-i a \text{csch}(c+d x)}}\right)}{\sqrt{a} d}-\frac{\sqrt{2} \tanh ^{-1}\left(\frac{\sqrt{a} \coth (c+d x)}{\sqrt{2} \sqrt{a-i a \text{csch}(c+d x)}}\right)}{\sqrt{a} d}","\frac{2 \tanh ^{-1}\left(\frac{\sqrt{a} \coth (c+d x)}{\sqrt{a-i a \text{csch}(c+d x)}}\right)}{\sqrt{a} d}-\frac{\sqrt{2} \tanh ^{-1}\left(\frac{\sqrt{a} \coth (c+d x)}{\sqrt{2} \sqrt{a-i a \text{csch}(c+d x)}}\right)}{\sqrt{a} d}",1,"(2*ArcTanh[(Sqrt[a]*Coth[c + d*x])/Sqrt[a - I*a*Csch[c + d*x]]])/(Sqrt[a]*d) - (Sqrt[2]*ArcTanh[(Sqrt[a]*Coth[c + d*x])/(Sqrt[2]*Sqrt[a - I*a*Csch[c + d*x]])])/(Sqrt[a]*d)","A",5,4,17,0.2353,1,"{3776, 3774, 203, 3795}"
58,1,23,0,0.017324,"\int \sqrt{3+3 i \text{csch}(x)} \, dx","Int[Sqrt[3 + (3*I)*Csch[x]],x]","2 \sqrt{3} \tanh ^{-1}\left(\frac{\coth (x)}{\sqrt{1+i \text{csch}(x)}}\right)","2 \sqrt{3} \tanh ^{-1}\left(\frac{\coth (x)}{\sqrt{1+i \text{csch}(x)}}\right)",1,"2*Sqrt[3]*ArcTanh[Coth[x]/Sqrt[1 + I*Csch[x]]]","A",2,2,12,0.1667,1,"{3774, 203}"
59,1,23,0,0.0184587,"\int \sqrt{3-3 i \text{csch}(x)} \, dx","Int[Sqrt[3 - (3*I)*Csch[x]],x]","2 \sqrt{3} \tanh ^{-1}\left(\frac{\coth (x)}{\sqrt{1-i \text{csch}(x)}}\right)","2 \sqrt{3} \tanh ^{-1}\left(\frac{\coth (x)}{\sqrt{1-i \text{csch}(x)}}\right)",1,"2*Sqrt[3]*ArcTanh[Coth[x]/Sqrt[1 - I*Csch[x]]]","A",2,2,12,0.1667,1,"{3774, 203}"
60,1,23,0,0.0159079,"\int \sqrt{-3+3 i \text{csch}(x)} \, dx","Int[Sqrt[-3 + (3*I)*Csch[x]],x]","-2 \sqrt{3} \tan ^{-1}\left(\frac{\coth (x)}{\sqrt{-1+i \text{csch}(x)}}\right)","-2 \sqrt{3} \tan ^{-1}\left(\frac{\coth (x)}{\sqrt{-1+i \text{csch}(x)}}\right)",1,"-2*Sqrt[3]*ArcTan[Coth[x]/Sqrt[-1 + I*Csch[x]]]","A",2,2,12,0.1667,1,"{3774, 207}"
61,1,23,0,0.0169177,"\int \sqrt{-3-3 i \text{csch}(x)} \, dx","Int[Sqrt[-3 - (3*I)*Csch[x]],x]","-2 \sqrt{3} \tan ^{-1}\left(\frac{\coth (x)}{\sqrt{-1-i \text{csch}(x)}}\right)","-2 \sqrt{3} \tan ^{-1}\left(\frac{\coth (x)}{\sqrt{-1-i \text{csch}(x)}}\right)",1,"-2*Sqrt[3]*ArcTan[Coth[x]/Sqrt[-1 - I*Csch[x]]]","A",2,2,12,0.1667,1,"{3774, 207}"
62,1,58,0,0.0705064,"\int \frac{\sinh ^4(x)}{i+\text{csch}(x)} \, dx","Int[Sinh[x]^4/(I + Csch[x]),x]","-\frac{15 i x}{8}+\frac{4 \cosh ^3(x)}{3}-4 \cosh (x)-\frac{5}{4} i \sinh ^3(x) \cosh (x)+\frac{15}{8} i \sinh (x) \cosh (x)-\frac{\sinh ^3(x) \cosh (x)}{\text{csch}(x)+i}","-\frac{15 i x}{8}+\frac{4 \cosh ^3(x)}{3}-4 \cosh (x)-\frac{5}{4} i \sinh ^3(x) \cosh (x)+\frac{15}{8} i \sinh (x) \cosh (x)-\frac{\sinh ^3(x) \cosh (x)}{\text{csch}(x)+i}",1,"((-15*I)/8)*x - 4*Cosh[x] + (4*Cosh[x]^3)/3 + ((15*I)/8)*Cosh[x]*Sinh[x] - ((5*I)/4)*Cosh[x]*Sinh[x]^3 - (Cosh[x]*Sinh[x]^3)/(I + Csch[x])","A",7,5,13,0.3846,1,"{3819, 3787, 2635, 8, 2633}"
63,1,46,0,0.0711676,"\int \frac{\sinh ^3(x)}{i+\text{csch}(x)} \, dx","Int[Sinh[x]^3/(I + Csch[x]),x]","-\frac{3 x}{2}-\frac{4}{3} i \cosh ^3(x)+4 i \cosh (x)+\frac{3}{2} \sinh (x) \cosh (x)-\frac{\sinh ^2(x) \cosh (x)}{\text{csch}(x)+i}","-\frac{3 x}{2}-\frac{4}{3} i \cosh ^3(x)+4 i \cosh (x)+\frac{3}{2} \sinh (x) \cosh (x)-\frac{\sinh ^2(x) \cosh (x)}{\text{csch}(x)+i}",1,"(-3*x)/2 + (4*I)*Cosh[x] - ((4*I)/3)*Cosh[x]^3 + (3*Cosh[x]*Sinh[x])/2 - (Cosh[x]*Sinh[x]^2)/(I + Csch[x])","A",6,5,13,0.3846,1,"{3819, 3787, 2633, 2635, 8}"
64,1,36,0,0.0598771,"\int \frac{\sinh ^2(x)}{i+\text{csch}(x)} \, dx","Int[Sinh[x]^2/(I + Csch[x]),x]","\frac{3 i x}{2}+2 \cosh (x)-\frac{3}{2} i \sinh (x) \cosh (x)-\frac{\sinh (x) \cosh (x)}{\text{csch}(x)+i}","\frac{3 i x}{2}+2 \cosh (x)-\frac{3}{2} i \sinh (x) \cosh (x)-\frac{\sinh (x) \cosh (x)}{\text{csch}(x)+i}",1,"((3*I)/2)*x + 2*Cosh[x] - ((3*I)/2)*Cosh[x]*Sinh[x] - (Cosh[x]*Sinh[x])/(I + Csch[x])","A",5,5,13,0.3846,1,"{3819, 3787, 2635, 8, 2638}"
65,1,20,0,0.0472941,"\int \frac{\sinh (x)}{i+\text{csch}(x)} \, dx","Int[Sinh[x]/(I + Csch[x]),x]","x-2 i \cosh (x)-\frac{\cosh (x)}{\text{csch}(x)+i}","x-2 i \cosh (x)-\frac{\cosh (x)}{\text{csch}(x)+i}",1,"x - (2*I)*Cosh[x] - Cosh[x]/(I + Csch[x])","A",4,4,11,0.3636,1,"{3819, 3787, 2638, 8}"
66,1,14,0,0.0205694,"\int \frac{\text{csch}(x)}{i+\text{csch}(x)} \, dx","Int[Csch[x]/(I + Csch[x]),x]","\frac{i \coth (x)}{\text{csch}(x)+i}","\frac{i \coth (x)}{\text{csch}(x)+i}",1,"(I*Coth[x])/(I + Csch[x])","A",1,1,11,0.09091,1,"{3794}"
67,1,17,0,0.0539062,"\int \frac{\text{csch}^2(x)}{i+\text{csch}(x)} \, dx","Int[Csch[x]^2/(I + Csch[x]),x]","-\tanh ^{-1}(\cosh (x))+\frac{\coth (x)}{\text{csch}(x)+i}","-\tanh ^{-1}(\cosh (x))+\frac{\coth (x)}{\text{csch}(x)+i}",1,"-ArcTanh[Cosh[x]] + Coth[x]/(I + Csch[x])","A",3,3,13,0.2308,1,"{3789, 3770, 3794}"
68,1,26,0,0.0836923,"\int \frac{\text{csch}^3(x)}{i+\text{csch}(x)} \, dx","Int[Csch[x]^3/(I + Csch[x]),x]","-\coth (x)+i \tanh ^{-1}(\cosh (x))-\frac{i \coth (x)}{\text{csch}(x)+i}","-\coth (x)+i \tanh ^{-1}(\cosh (x))-\frac{i \coth (x)}{\text{csch}(x)+i}",1,"I*ArcTanh[Cosh[x]] - Coth[x] - (I*Coth[x])/(I + Csch[x])","A",4,4,13,0.3077,1,"{3790, 3789, 3770, 3794}"
69,1,37,0,0.064237,"\int \frac{\text{csch}^4(x)}{i+\text{csch}(x)} \, dx","Int[Csch[x]^4/(I + Csch[x]),x]","2 i \coth (x)+\frac{3}{2} \tanh ^{-1}(\cosh (x))+\frac{\coth (x) \text{csch}^2(x)}{\text{csch}(x)+i}-\frac{3}{2} \coth (x) \text{csch}(x)","2 i \coth (x)+\frac{3}{2} \tanh ^{-1}(\cosh (x))+\frac{\coth (x) \text{csch}^2(x)}{\text{csch}(x)+i}-\frac{3}{2} \coth (x) \text{csch}(x)",1,"(3*ArcTanh[Cosh[x]])/2 + (2*I)*Coth[x] - (3*Coth[x]*Csch[x])/2 + (Coth[x]*Csch[x]^2)/(I + Csch[x])","A",6,6,13,0.4615,1,"{3818, 3787, 3767, 8, 3768, 3770}"
70,1,109,0,0.1279544,"\int (a+b \text{csch}(c+d x))^4 \, dx","Int[(a + b*Csch[c + d*x])^4,x]","-\frac{b^2 \left(17 a^2-2 b^2\right) \coth (c+d x)}{3 d}-\frac{2 a b \left(2 a^2-b^2\right) \tanh ^{-1}(\cosh (c+d x))}{d}+a^4 x-\frac{4 a b^3 \coth (c+d x) \text{csch}(c+d x)}{3 d}-\frac{b^2 \coth (c+d x) (a+b \text{csch}(c+d x))^2}{3 d}","-\frac{b^2 \left(17 a^2-2 b^2\right) \coth (c+d x)}{3 d}-\frac{2 a b \left(2 a^2-b^2\right) \tanh ^{-1}(\cosh (c+d x))}{d}+a^4 x-\frac{4 a b^3 \coth (c+d x) \text{csch}(c+d x)}{3 d}-\frac{b^2 \coth (c+d x) (a+b \text{csch}(c+d x))^2}{3 d}",1,"a^4*x - (2*a*b*(2*a^2 - b^2)*ArcTanh[Cosh[c + d*x]])/d - (b^2*(17*a^2 - 2*b^2)*Coth[c + d*x])/(3*d) - (4*a*b^3*Coth[c + d*x]*Csch[c + d*x])/(3*d) - (b^2*Coth[c + d*x]*(a + b*Csch[c + d*x])^2)/(3*d)","A",6,5,12,0.4167,1,"{3782, 4048, 3770, 3767, 8}"
71,1,75,0,0.051388,"\int (a+b \text{csch}(c+d x))^3 \, dx","Int[(a + b*Csch[c + d*x])^3,x]","-\frac{b \left(6 a^2-b^2\right) \tanh ^{-1}(\cosh (c+d x))}{2 d}+a^3 x-\frac{5 a b^2 \coth (c+d x)}{2 d}-\frac{b^2 \coth (c+d x) (a+b \text{csch}(c+d x))}{2 d}","-\frac{b \left(6 a^2-b^2\right) \tanh ^{-1}(\cosh (c+d x))}{2 d}+a^3 x-\frac{5 a b^2 \coth (c+d x)}{2 d}-\frac{b^2 \coth (c+d x) (a+b \text{csch}(c+d x))}{2 d}",1,"a^3*x - (b*(6*a^2 - b^2)*ArcTanh[Cosh[c + d*x]])/(2*d) - (5*a*b^2*Coth[c + d*x])/(2*d) - (b^2*Coth[c + d*x]*(a + b*Csch[c + d*x]))/(2*d)","A",5,4,12,0.3333,1,"{3782, 3770, 3767, 8}"
72,1,34,0,0.0311796,"\int (a+b \text{csch}(c+d x))^2 \, dx","Int[(a + b*Csch[c + d*x])^2,x]","a^2 x-\frac{2 a b \tanh ^{-1}(\cosh (c+d x))}{d}-\frac{b^2 \coth (c+d x)}{d}","a^2 x-\frac{2 a b \tanh ^{-1}(\cosh (c+d x))}{d}-\frac{b^2 \coth (c+d x)}{d}",1,"a^2*x - (2*a*b*ArcTanh[Cosh[c + d*x]])/d - (b^2*Coth[c + d*x])/d","A",4,4,12,0.3333,1,"{3773, 3770, 3767, 8}"
73,1,17,0,0.0101213,"\int (a+b \text{csch}(c+d x)) \, dx","Int[a + b*Csch[c + d*x],x]","a x-\frac{b \tanh ^{-1}(\cosh (c+d x))}{d}","a x-\frac{b \tanh ^{-1}(\cosh (c+d x))}{d}",1,"a*x - (b*ArcTanh[Cosh[c + d*x]])/d","A",2,1,10,0.1000,1,"{3770}"
74,1,54,0,0.0594489,"\int \frac{1}{a+b \text{csch}(c+d x)} \, dx","Int[(a + b*Csch[c + d*x])^(-1),x]","\frac{2 b \tanh ^{-1}\left(\frac{a-b \tanh \left(\frac{1}{2} (c+d x)\right)}{\sqrt{a^2+b^2}}\right)}{a d \sqrt{a^2+b^2}}+\frac{x}{a}","\frac{2 b \tanh ^{-1}\left(\frac{a-b \tanh \left(\frac{1}{2} (c+d x)\right)}{\sqrt{a^2+b^2}}\right)}{a d \sqrt{a^2+b^2}}+\frac{x}{a}",1,"x/a + (2*b*ArcTanh[(a - b*Tanh[(c + d*x)/2])/Sqrt[a^2 + b^2]])/(a*Sqrt[a^2 + b^2]*d)","A",4,4,12,0.3333,1,"{3783, 2660, 618, 204}"
75,1,101,0,0.1575085,"\int \frac{1}{(a+b \text{csch}(c+d x))^2} \, dx","Int[(a + b*Csch[c + d*x])^(-2),x]","\frac{2 b \left(2 a^2+b^2\right) \tanh ^{-1}\left(\frac{a-b \tanh \left(\frac{1}{2} (c+d x)\right)}{\sqrt{a^2+b^2}}\right)}{a^2 d \left(a^2+b^2\right)^{3/2}}-\frac{b^2 \coth (c+d x)}{a d \left(a^2+b^2\right) (a+b \text{csch}(c+d x))}+\frac{x}{a^2}","\frac{2 b \left(2 a^2+b^2\right) \tanh ^{-1}\left(\frac{a-b \tanh \left(\frac{1}{2} (c+d x)\right)}{\sqrt{a^2+b^2}}\right)}{a^2 d \left(a^2+b^2\right)^{3/2}}-\frac{b^2 \coth (c+d x)}{a d \left(a^2+b^2\right) (a+b \text{csch}(c+d x))}+\frac{x}{a^2}",1,"x/a^2 + (2*b*(2*a^2 + b^2)*ArcTanh[(a - b*Tanh[(c + d*x)/2])/Sqrt[a^2 + b^2]])/(a^2*(a^2 + b^2)^(3/2)*d) - (b^2*Coth[c + d*x])/(a*(a^2 + b^2)*d*(a + b*Csch[c + d*x]))","A",6,6,12,0.5000,1,"{3785, 3919, 3831, 2660, 618, 204}"
76,1,163,0,0.3163532,"\int \frac{1}{(a+b \text{csch}(c+d x))^3} \, dx","Int[(a + b*Csch[c + d*x])^(-3),x]","\frac{b \left(5 a^2 b^2+6 a^4+2 b^4\right) \tanh ^{-1}\left(\frac{a-b \tanh \left(\frac{1}{2} (c+d x)\right)}{\sqrt{a^2+b^2}}\right)}{a^3 d \left(a^2+b^2\right)^{5/2}}-\frac{b^2 \left(5 a^2+2 b^2\right) \coth (c+d x)}{2 a^2 d \left(a^2+b^2\right)^2 (a+b \text{csch}(c+d x))}-\frac{b^2 \coth (c+d x)}{2 a d \left(a^2+b^2\right) (a+b \text{csch}(c+d x))^2}+\frac{x}{a^3}","\frac{b \left(5 a^2 b^2+6 a^4+2 b^4\right) \tanh ^{-1}\left(\frac{a-b \tanh \left(\frac{1}{2} (c+d x)\right)}{\sqrt{a^2+b^2}}\right)}{a^3 d \left(a^2+b^2\right)^{5/2}}-\frac{b^2 \left(5 a^2+2 b^2\right) \coth (c+d x)}{2 a^2 d \left(a^2+b^2\right)^2 (a+b \text{csch}(c+d x))}-\frac{b^2 \coth (c+d x)}{2 a d \left(a^2+b^2\right) (a+b \text{csch}(c+d x))^2}+\frac{x}{a^3}",1,"x/a^3 + (b*(6*a^4 + 5*a^2*b^2 + 2*b^4)*ArcTanh[(a - b*Tanh[(c + d*x)/2])/Sqrt[a^2 + b^2]])/(a^3*(a^2 + b^2)^(5/2)*d) - (b^2*Coth[c + d*x])/(2*a*(a^2 + b^2)*d*(a + b*Csch[c + d*x])^2) - (b^2*(5*a^2 + 2*b^2)*Coth[c + d*x])/(2*a^2*(a^2 + b^2)^2*d*(a + b*Csch[c + d*x]))","A",7,7,12,0.5833,1,"{3785, 4060, 3919, 3831, 2660, 618, 204}"
77,1,107,0,0.4582,"\int \frac{\sinh ^3(x)}{a+b \text{csch}(x)} \, dx","Int[Sinh[x]^3/(a + b*Csch[x]),x]","\frac{b x \left(a^2-2 b^2\right)}{2 a^4}-\frac{\left(2 a^2-3 b^2\right) \cosh (x)}{3 a^3}-\frac{2 b^4 \tanh ^{-1}\left(\frac{a-b \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{a^4 \sqrt{a^2+b^2}}-\frac{b \sinh (x) \cosh (x)}{2 a^2}+\frac{\sinh ^2(x) \cosh (x)}{3 a}","\frac{b x \left(a^2-2 b^2\right)}{2 a^4}-\frac{\left(2 a^2-3 b^2\right) \cosh (x)}{3 a^3}-\frac{2 b^4 \tanh ^{-1}\left(\frac{a-b \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{a^4 \sqrt{a^2+b^2}}-\frac{b \sinh (x) \cosh (x)}{2 a^2}+\frac{\sinh ^2(x) \cosh (x)}{3 a}",1,"(b*(a^2 - 2*b^2)*x)/(2*a^4) - (2*b^4*ArcTanh[(a - b*Tanh[x/2])/Sqrt[a^2 + b^2]])/(a^4*Sqrt[a^2 + b^2]) - ((2*a^2 - 3*b^2)*Cosh[x])/(3*a^3) - (b*Cosh[x]*Sinh[x])/(2*a^2) + (Cosh[x]*Sinh[x]^2)/(3*a)","A",8,7,13,0.5385,1,"{3853, 4104, 3919, 3831, 2660, 618, 206}"
78,1,80,0,0.2882736,"\int \frac{\sinh ^2(x)}{a+b \text{csch}(x)} \, dx","Int[Sinh[x]^2/(a + b*Csch[x]),x]","-\frac{x \left(a^2-2 b^2\right)}{2 a^3}+\frac{2 b^3 \tanh ^{-1}\left(\frac{a-b \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{a^3 \sqrt{a^2+b^2}}-\frac{b \cosh (x)}{a^2}+\frac{\sinh (x) \cosh (x)}{2 a}","-\frac{x \left(a^2-2 b^2\right)}{2 a^3}+\frac{2 b^3 \tanh ^{-1}\left(\frac{a-b \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{a^3 \sqrt{a^2+b^2}}-\frac{b \cosh (x)}{a^2}+\frac{\sinh (x) \cosh (x)}{2 a}",1,"-((a^2 - 2*b^2)*x)/(2*a^3) + (2*b^3*ArcTanh[(a - b*Tanh[x/2])/Sqrt[a^2 + b^2]])/(a^3*Sqrt[a^2 + b^2]) - (b*Cosh[x])/a^2 + (Cosh[x]*Sinh[x])/(2*a)","A",7,7,13,0.5385,1,"{3853, 4104, 3919, 3831, 2660, 618, 206}"
79,1,57,0,0.1068128,"\int \frac{\sinh (x)}{a+b \text{csch}(x)} \, dx","Int[Sinh[x]/(a + b*Csch[x]),x]","-\frac{2 b^2 \tanh ^{-1}\left(\frac{a-b \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{a^2 \sqrt{a^2+b^2}}-\frac{b x}{a^2}+\frac{\cosh (x)}{a}","-\frac{2 b^2 \tanh ^{-1}\left(\frac{a-b \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{a^2 \sqrt{a^2+b^2}}-\frac{b x}{a^2}+\frac{\cosh (x)}{a}",1,"-((b*x)/a^2) - (2*b^2*ArcTanh[(a - b*Tanh[x/2])/Sqrt[a^2 + b^2]])/(a^2*Sqrt[a^2 + b^2]) + Cosh[x]/a","A",6,6,11,0.5455,1,"{3853, 12, 3783, 2660, 618, 206}"
80,1,37,0,0.0663334,"\int \frac{\text{csch}(x)}{a+b \text{csch}(x)} \, dx","Int[Csch[x]/(a + b*Csch[x]),x]","-\frac{2 \tanh ^{-1}\left(\frac{a-b \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{\sqrt{a^2+b^2}}","-\frac{2 \tanh ^{-1}\left(\frac{a-b \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{\sqrt{a^2+b^2}}",1,"(-2*ArcTanh[(a - b*Tanh[x/2])/Sqrt[a^2 + b^2]])/Sqrt[a^2 + b^2]","A",4,4,11,0.3636,1,"{3831, 2660, 618, 206}"
81,1,50,0,0.1145661,"\int \frac{\text{csch}^2(x)}{a+b \text{csch}(x)} \, dx","Int[Csch[x]^2/(a + b*Csch[x]),x]","\frac{2 a \tanh ^{-1}\left(\frac{a-b \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{b \sqrt{a^2+b^2}}-\frac{\tanh ^{-1}(\cosh (x))}{b}","\frac{2 a \tanh ^{-1}\left(\frac{a-b \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{b \sqrt{a^2+b^2}}-\frac{\tanh ^{-1}(\cosh (x))}{b}",1,"-(ArcTanh[Cosh[x]]/b) + (2*a*ArcTanh[(a - b*Tanh[x/2])/Sqrt[a^2 + b^2]])/(b*Sqrt[a^2 + b^2])","A",6,6,13,0.4615,1,"{3789, 3770, 3831, 2660, 618, 206}"
82,1,59,0,0.1598033,"\int \frac{\text{csch}^3(x)}{a+b \text{csch}(x)} \, dx","Int[Csch[x]^3/(a + b*Csch[x]),x]","-\frac{2 a^2 \tanh ^{-1}\left(\frac{a-b \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{b^2 \sqrt{a^2+b^2}}+\frac{a \tanh ^{-1}(\cosh (x))}{b^2}-\frac{\coth (x)}{b}","-\frac{2 a^2 \tanh ^{-1}\left(\frac{a-b \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{b^2 \sqrt{a^2+b^2}}+\frac{a \tanh ^{-1}(\cosh (x))}{b^2}-\frac{\coth (x)}{b}",1,"(a*ArcTanh[Cosh[x]])/b^2 - (2*a^2*ArcTanh[(a - b*Tanh[x/2])/Sqrt[a^2 + b^2]])/(b^2*Sqrt[a^2 + b^2]) - Coth[x]/b","A",7,7,13,0.5385,1,"{3790, 3789, 3770, 3831, 2660, 618, 206}"
83,1,83,0,0.2918328,"\int \frac{\text{csch}^4(x)}{a+b \text{csch}(x)} \, dx","Int[Csch[x]^4/(a + b*Csch[x]),x]","\frac{2 a^3 \tanh ^{-1}\left(\frac{a-b \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{b^3 \sqrt{a^2+b^2}}-\frac{\left(2 a^2-b^2\right) \tanh ^{-1}(\cosh (x))}{2 b^3}+\frac{a \coth (x)}{b^2}-\frac{\coth (x) \text{csch}(x)}{2 b}","\frac{2 a^3 \tanh ^{-1}\left(\frac{a-b \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{b^3 \sqrt{a^2+b^2}}-\frac{\left(2 a^2-b^2\right) \tanh ^{-1}(\cosh (x))}{2 b^3}+\frac{a \coth (x)}{b^2}-\frac{\coth (x) \text{csch}(x)}{2 b}",1,"-((2*a^2 - b^2)*ArcTanh[Cosh[x]])/(2*b^3) + (2*a^3*ArcTanh[(a - b*Tanh[x/2])/Sqrt[a^2 + b^2]])/(b^3*Sqrt[a^2 + b^2]) + (a*Coth[x])/b^2 - (Coth[x]*Csch[x])/(2*b)","A",8,8,13,0.6154,1,"{3851, 4082, 3998, 3770, 3831, 2660, 618, 206}"
84,1,38,0,0.1282451,"\int \frac{\cosh ^4(x)}{i+\text{csch}(x)} \, dx","Int[Cosh[x]^4/(I + Csch[x]),x]","\frac{i x}{8}+\frac{\cosh ^3(x)}{3}-\frac{1}{4} i \sinh (x) \cosh ^3(x)+\frac{1}{8} i \sinh (x) \cosh (x)","\frac{i x}{8}+\frac{\cosh ^3(x)}{3}-\frac{1}{4} i \sinh (x) \cosh ^3(x)+\frac{1}{8} i \sinh (x) \cosh (x)",1,"(I/8)*x + Cosh[x]^3/3 + (I/8)*Cosh[x]*Sinh[x] - (I/4)*Cosh[x]^3*Sinh[x]","A",7,7,13,0.5385,1,"{3872, 2839, 2565, 30, 2568, 2635, 8}"
85,1,19,0,0.1055677,"\int \frac{\cosh ^3(x)}{i+\text{csch}(x)} \, dx","Int[Cosh[x]^3/(I + Csch[x]),x]","\frac{\sinh ^2(x)}{2}-\frac{1}{3} i \sinh ^3(x)","\frac{\sinh ^2(x)}{2}-\frac{1}{3} i \sinh ^3(x)",1,"Sinh[x]^2/2 - (I/3)*Sinh[x]^3","A",6,4,13,0.3077,1,"{3872, 2835, 2564, 30}"
86,1,20,0,0.0923256,"\int \frac{\cosh ^2(x)}{i+\text{csch}(x)} \, dx","Int[Cosh[x]^2/(I + Csch[x]),x]","\frac{i x}{2}+\cosh (x)-\frac{1}{2} i \sinh (x) \cosh (x)","\frac{i x}{2}+\cosh (x)-\frac{1}{2} i \sinh (x) \cosh (x)",1,"(I/2)*x + Cosh[x] - (I/2)*Cosh[x]*Sinh[x]","A",5,5,13,0.3846,1,"{3872, 2839, 2638, 2635, 8}"
87,1,16,0,0.0584481,"\int \frac{\cosh (x)}{i+\text{csch}(x)} \, dx","Int[Cosh[x]/(I + Csch[x]),x]","\log (-\sinh (x)+i)-i \sinh (x)","\log (-\sinh (x)+i)-i \sinh (x)",1,"Log[I - Sinh[x]] - I*Sinh[x]","A",4,3,11,0.2727,1,"{3872, 2833, 43}"
88,1,28,0,0.0801613,"\int \frac{\text{sech}(x)}{i+\text{csch}(x)} \, dx","Int[Sech[x]/(I + Csch[x]),x]","-\frac{1}{2} \text{sech}^2(x)-\frac{1}{2} i \tan ^{-1}(\sinh (x))+\frac{1}{2} i \tanh (x) \text{sech}(x)","-\frac{1}{2} \text{sech}^2(x)-\frac{1}{2} i \tan ^{-1}(\sinh (x))+\frac{1}{2} i \tanh (x) \text{sech}(x)",1,"(-I/2)*ArcTan[Sinh[x]] - Sech[x]^2/2 + (I/2)*Sech[x]*Tanh[x]","A",6,6,11,0.5455,1,"{3872, 2706, 2606, 30, 2611, 3770}"
89,1,19,0,0.1110208,"\int \frac{\text{sech}^2(x)}{i+\text{csch}(x)} \, dx","Int[Sech[x]^2/(I + Csch[x]),x]","-\frac{1}{3} \text{sech}^3(x)-\frac{1}{3} i \tanh ^3(x)","-\frac{1}{3} \text{sech}^3(x)-\frac{1}{3} i \tanh ^3(x)",1,"-Sech[x]^3/3 - (I/3)*Tanh[x]^3","A",6,5,13,0.3846,1,"{3872, 2839, 2606, 30, 2607}"
90,1,40,0,0.1302205,"\int \frac{\text{sech}^3(x)}{i+\text{csch}(x)} \, dx","Int[Sech[x]^3/(I + Csch[x]),x]","-\frac{1}{4} \text{sech}^4(x)-\frac{1}{8} i \tan ^{-1}(\sinh (x))+\frac{1}{4} i \tanh (x) \text{sech}^3(x)-\frac{1}{8} i \tanh (x) \text{sech}(x)","-\frac{1}{4} \text{sech}^4(x)-\frac{1}{8} i \tan ^{-1}(\sinh (x))+\frac{1}{4} i \tanh (x) \text{sech}^3(x)-\frac{1}{8} i \tanh (x) \text{sech}(x)",1,"(-I/8)*ArcTan[Sinh[x]] - Sech[x]^4/4 - (I/8)*Sech[x]*Tanh[x] + (I/4)*Sech[x]^3*Tanh[x]","A",7,7,13,0.5385,1,"{3872, 2835, 2606, 30, 2611, 3768, 3770}"
91,1,29,0,0.1214225,"\int \frac{\text{sech}^4(x)}{i+\text{csch}(x)} \, dx","Int[Sech[x]^4/(I + Csch[x]),x]","\frac{1}{5} i \tanh ^5(x)-\frac{1}{3} i \tanh ^3(x)-\frac{1}{5} \text{sech}^5(x)","\frac{1}{5} i \tanh ^5(x)-\frac{1}{3} i \tanh ^3(x)-\frac{1}{5} \text{sech}^5(x)",1,"-Sech[x]^5/5 - (I/3)*Tanh[x]^3 + (I/5)*Tanh[x]^5","A",7,6,13,0.4615,1,"{3872, 2839, 2606, 30, 2607, 14}"
92,1,102,0,0.1981576,"\int \frac{\cosh ^5(x)}{a+b \text{csch}(x)} \, dx","Int[Cosh[x]^5/(a + b*Csch[x]),x]","\frac{\left(2 a^2+b^2\right) \sinh ^3(x)}{3 a^3}-\frac{b \left(2 a^2+b^2\right) \sinh ^2(x)}{2 a^4}+\frac{\left(a^2+b^2\right)^2 \sinh (x)}{a^5}-\frac{b \left(a^2+b^2\right)^2 \log (a \sinh (x)+b)}{a^6}-\frac{b \sinh ^4(x)}{4 a^2}+\frac{\sinh ^5(x)}{5 a}","\frac{\left(2 a^2+b^2\right) \sinh ^3(x)}{3 a^3}-\frac{b \left(2 a^2+b^2\right) \sinh ^2(x)}{2 a^4}+\frac{\left(a^2+b^2\right)^2 \sinh (x)}{a^5}-\frac{b \left(a^2+b^2\right)^2 \log (a \sinh (x)+b)}{a^6}-\frac{b \sinh ^4(x)}{4 a^2}+\frac{\sinh ^5(x)}{5 a}",1,"-((b*(a^2 + b^2)^2*Log[b + a*Sinh[x]])/a^6) + ((a^2 + b^2)^2*Sinh[x])/a^5 - (b*(2*a^2 + b^2)*Sinh[x]^2)/(2*a^4) + ((2*a^2 + b^2)*Sinh[x]^3)/(3*a^3) - (b*Sinh[x]^4)/(4*a^2) + Sinh[x]^5/(5*a)","A",5,4,13,0.3077,1,"{3872, 2837, 12, 772}"
93,1,125,0,0.3776957,"\int \frac{\cosh ^4(x)}{a+b \text{csch}(x)} \, dx","Int[Cosh[x]^4/(a + b*Csch[x]),x]","\frac{x \left(12 a^2 b^2+3 a^4+8 b^4\right)}{8 a^5}+\frac{2 b \left(a^2+b^2\right)^{3/2} \tanh ^{-1}\left(\frac{a-b \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{a^5}-\frac{\cosh (x) \left(8 b \left(a^2+b^2\right)-a \left(3 a^2+4 b^2\right) \sinh (x)\right)}{8 a^4}-\frac{\cosh ^3(x) (4 b-3 a \sinh (x))}{12 a^2}","\frac{x \left(12 a^2 b^2+3 a^4+8 b^4\right)}{8 a^5}+\frac{2 b \left(a^2+b^2\right)^{3/2} \tanh ^{-1}\left(\frac{a-b \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{a^5}-\frac{\cosh (x) \left(8 b \left(a^2+b^2\right)-a \left(3 a^2+4 b^2\right) \sinh (x)\right)}{8 a^4}-\frac{\cosh ^3(x) (4 b-3 a \sinh (x))}{12 a^2}",1,"((3*a^4 + 12*a^2*b^2 + 8*b^4)*x)/(8*a^5) + (2*b*(a^2 + b^2)^(3/2)*ArcTanh[(a - b*Tanh[x/2])/Sqrt[a^2 + b^2]])/a^5 - (Cosh[x]^3*(4*b - 3*a*Sinh[x]))/(12*a^2) - (Cosh[x]*(8*b*(a^2 + b^2) - a*(3*a^2 + 4*b^2)*Sinh[x]))/(8*a^4)","A",7,6,13,0.4615,1,"{3872, 2865, 2735, 2660, 618, 204}"
94,1,57,0,0.1595302,"\int \frac{\cosh ^3(x)}{a+b \text{csch}(x)} \, dx","Int[Cosh[x]^3/(a + b*Csch[x]),x]","\frac{\left(a^2+b^2\right) \sinh (x)}{a^3}-\frac{b \left(a^2+b^2\right) \log (a \sinh (x)+b)}{a^4}-\frac{b \sinh ^2(x)}{2 a^2}+\frac{\sinh ^3(x)}{3 a}","\frac{\left(a^2+b^2\right) \sinh (x)}{a^3}-\frac{b \left(a^2+b^2\right) \log (a \sinh (x)+b)}{a^4}-\frac{b \sinh ^2(x)}{2 a^2}+\frac{\sinh ^3(x)}{3 a}",1,"-((b*(a^2 + b^2)*Log[b + a*Sinh[x]])/a^4) + ((a^2 + b^2)*Sinh[x])/a^3 - (b*Sinh[x]^2)/(2*a^2) + Sinh[x]^3/(3*a)","A",5,4,13,0.3077,1,"{3872, 2837, 12, 772}"
95,1,77,0,0.2062176,"\int \frac{\cosh ^2(x)}{a+b \text{csch}(x)} \, dx","Int[Cosh[x]^2/(a + b*Csch[x]),x]","\frac{x \left(a^2+2 b^2\right)}{2 a^3}+\frac{2 b \sqrt{a^2+b^2} \tanh ^{-1}\left(\frac{a-b \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{a^3}-\frac{\cosh (x) (2 b-a \sinh (x))}{2 a^2}","\frac{x \left(a^2+2 b^2\right)}{2 a^3}+\frac{2 b \sqrt{a^2+b^2} \tanh ^{-1}\left(\frac{a-b \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{a^3}-\frac{\cosh (x) (2 b-a \sinh (x))}{2 a^2}",1,"((a^2 + 2*b^2)*x)/(2*a^3) + (2*b*Sqrt[a^2 + b^2]*ArcTanh[(a - b*Tanh[x/2])/Sqrt[a^2 + b^2]])/a^3 - (Cosh[x]*(2*b - a*Sinh[x]))/(2*a^2)","A",6,6,13,0.4615,1,"{3872, 2865, 2735, 2660, 618, 204}"
96,1,20,0,0.0800283,"\int \frac{\cosh (x)}{a+b \text{csch}(x)} \, dx","Int[Cosh[x]/(a + b*Csch[x]),x]","\frac{\sinh (x)}{a}-\frac{b \log (a \sinh (x)+b)}{a^2}","\frac{\sinh (x)}{a}-\frac{b \log (a \sinh (x)+b)}{a^2}",1,"-((b*Log[b + a*Sinh[x]])/a^2) + Sinh[x]/a","A",5,4,11,0.3636,1,"{3872, 2833, 12, 43}"
97,1,64,0,0.1108493,"\int \frac{\text{sech}(x)}{a+b \text{csch}(x)} \, dx","Int[Sech[x]/(a + b*Csch[x]),x]","-\frac{b \log (a \sinh (x)+b)}{a^2+b^2}+\frac{\log (-\sinh (x)+i)}{2 (b+i a)}-\frac{\log (\sinh (x)+i)}{2 (-b+i a)}","-\frac{b \log (a \sinh (x)+b)}{a^2+b^2}+\frac{\log (-\sinh (x)+i)}{2 (b+i a)}-\frac{\log (\sinh (x)+i)}{2 (-b+i a)}",1,"Log[I - Sinh[x]]/(2*(I*a + b)) - Log[I + Sinh[x]]/(2*(I*a - b)) - (b*Log[b + a*Sinh[x]])/(a^2 + b^2)","A",4,3,11,0.2727,1,"{3872, 2721, 801}"
98,1,60,0,0.14187,"\int \frac{\text{sech}^2(x)}{a+b \text{csch}(x)} \, dx","Int[Sech[x]^2/(a + b*Csch[x]),x]","\frac{2 a b \tanh ^{-1}\left(\frac{a-b \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{\left(a^2+b^2\right)^{3/2}}-\frac{\text{sech}(x) (b-a \sinh (x))}{a^2+b^2}","\frac{2 a b \tanh ^{-1}\left(\frac{a-b \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{\left(a^2+b^2\right)^{3/2}}-\frac{\text{sech}(x) (b-a \sinh (x))}{a^2+b^2}",1,"(2*a*b*ArcTanh[(a - b*Tanh[x/2])/Sqrt[a^2 + b^2]])/(a^2 + b^2)^(3/2) - (Sech[x]*(b - a*Sinh[x]))/(a^2 + b^2)","A",6,6,13,0.4615,1,"{3872, 2866, 12, 2660, 618, 204}"
99,1,95,0,0.2203969,"\int \frac{\text{sech}^3(x)}{a+b \text{csch}(x)} \, dx","Int[Sech[x]^3/(a + b*Csch[x]),x]","-\frac{a^2 b \log (a \sinh (x)+b)}{\left(a^2+b^2\right)^2}-\frac{\text{sech}^2(x) (b-a \sinh (x))}{2 \left(a^2+b^2\right)}-\frac{i a \log (-\sinh (x)+i)}{4 (a-i b)^2}+\frac{i a \log (\sinh (x)+i)}{4 (a+i b)^2}","-\frac{a^2 b \log (a \sinh (x)+b)}{\left(a^2+b^2\right)^2}-\frac{\text{sech}^2(x) (b-a \sinh (x))}{2 \left(a^2+b^2\right)}-\frac{i a \log (-\sinh (x)+i)}{4 (a-i b)^2}+\frac{i a \log (\sinh (x)+i)}{4 (a+i b)^2}",1,"((-I/4)*a*Log[I - Sinh[x]])/(a - I*b)^2 + ((I/4)*a*Log[I + Sinh[x]])/(a + I*b)^2 - (a^2*b*Log[b + a*Sinh[x]])/(a^2 + b^2)^2 - (Sech[x]^2*(b - a*Sinh[x]))/(2*(a^2 + b^2))","A",6,5,13,0.3846,1,"{3872, 2837, 12, 823, 801}"
100,1,104,0,0.2703335,"\int \frac{\text{sech}^4(x)}{a+b \text{csch}(x)} \, dx","Int[Sech[x]^4/(a + b*Csch[x]),x]","\frac{2 a^3 b \tanh ^{-1}\left(\frac{a-b \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{\left(a^2+b^2\right)^{5/2}}-\frac{\text{sech}^3(x) (b-a \sinh (x))}{3 \left(a^2+b^2\right)}-\frac{\text{sech}(x) \left(3 a^2 b-a \left(2 a^2-b^2\right) \sinh (x)\right)}{3 \left(a^2+b^2\right)^2}","\frac{2 a^3 b \tanh ^{-1}\left(\frac{a-b \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{\left(a^2+b^2\right)^{5/2}}-\frac{\text{sech}^3(x) (b-a \sinh (x))}{3 \left(a^2+b^2\right)}-\frac{\text{sech}(x) \left(3 a^2 b-a \left(2 a^2-b^2\right) \sinh (x)\right)}{3 \left(a^2+b^2\right)^2}",1,"(2*a^3*b*ArcTanh[(a - b*Tanh[x/2])/Sqrt[a^2 + b^2]])/(a^2 + b^2)^(5/2) - (Sech[x]^3*(b - a*Sinh[x]))/(3*(a^2 + b^2)) - (Sech[x]*(3*a^2*b - a*(2*a^2 - b^2)*Sinh[x]))/(3*(a^2 + b^2)^2)","A",7,6,13,0.4615,1,"{3872, 2866, 12, 2660, 618, 204}"
101,1,149,0,0.3409717,"\int \frac{\text{sech}^5(x)}{a+b \text{csch}(x)} \, dx","Int[Sech[x]^5/(a + b*Csch[x]),x]","-\frac{a^4 b \log (a \sinh (x)+b)}{\left(a^2+b^2\right)^3}-\frac{\text{sech}^4(x) (b-a \sinh (x))}{4 \left(a^2+b^2\right)}-\frac{\text{sech}^2(x) \left(4 a^2 b-a \left(3 a^2-b^2\right) \sinh (x)\right)}{8 \left(a^2+b^2\right)^2}-\frac{a (b+3 i a) \log (-\sinh (x)+i)}{16 (a-i b)^3}+\frac{a (3 a+i b) \log (\sinh (x)+i)}{16 (-b+i a)^3}","-\frac{a^4 b \log (a \sinh (x)+b)}{\left(a^2+b^2\right)^3}-\frac{\text{sech}^4(x) (b-a \sinh (x))}{4 \left(a^2+b^2\right)}-\frac{\text{sech}^2(x) \left(4 a^2 b-a \left(3 a^2-b^2\right) \sinh (x)\right)}{8 \left(a^2+b^2\right)^2}-\frac{a (b+3 i a) \log (-\sinh (x)+i)}{16 (a-i b)^3}+\frac{a (3 a+i b) \log (\sinh (x)+i)}{16 (-b+i a)^3}",1,"-(a*((3*I)*a + b)*Log[I - Sinh[x]])/(16*(a - I*b)^3) + (a*(3*a + I*b)*Log[I + Sinh[x]])/(16*(I*a - b)^3) - (a^4*b*Log[b + a*Sinh[x]])/(a^2 + b^2)^3 - (Sech[x]^4*(b - a*Sinh[x]))/(4*(a^2 + b^2)) - (Sech[x]^2*(4*a^2*b - a*(3*a^2 - b^2)*Sinh[x]))/(8*(a^2 + b^2)^2)","A",7,5,13,0.3846,1,"{3872, 2837, 12, 823, 801}"
102,1,109,0,0.0860622,"\int \frac{\tanh ^5(x)}{i+\text{csch}(x)} \, dx","Int[Tanh[x]^5/(I + Csch[x]),x]","-\frac{i}{4 (1-i \sinh (x))}-\frac{15 i}{16 (1+i \sinh (x))}+\frac{i}{32 (1-i \sinh (x))^2}+\frac{9 i}{32 (1+i \sinh (x))^2}-\frac{i}{24 (1+i \sinh (x))^3}-\frac{21}{32} i \log (-\sinh (x)+i)-\frac{11}{32} i \log (\sinh (x)+i)","-\frac{i}{4 (1-i \sinh (x))}-\frac{15 i}{16 (1+i \sinh (x))}+\frac{i}{32 (1-i \sinh (x))^2}+\frac{9 i}{32 (1+i \sinh (x))^2}-\frac{i}{24 (1+i \sinh (x))^3}-\frac{21}{32} i \log (-\sinh (x)+i)-\frac{11}{32} i \log (\sinh (x)+i)",1,"((-21*I)/32)*Log[I - Sinh[x]] - ((11*I)/32)*Log[I + Sinh[x]] + (I/32)/(1 - I*Sinh[x])^2 - (I/4)/(1 - I*Sinh[x]) - (I/24)/(1 + I*Sinh[x])^3 + ((9*I)/32)/(1 + I*Sinh[x])^2 - ((15*I)/16)/(1 + I*Sinh[x])","A",3,2,13,0.1538,1,"{3879, 88}"
103,1,52,0,0.0934978,"\int \frac{\tanh ^4(x)}{i+\text{csch}(x)} \, dx","Int[Tanh[x]^4/(I + Csch[x]),x]","-i x+\frac{1}{5} \tanh ^5(x) (-\text{csch}(x)+i)+\frac{1}{15} \tanh ^3(x) (-4 \text{csch}(x)+5 i)+\frac{1}{15} \tanh (x) (-8 \text{csch}(x)+15 i)","-i x+\frac{1}{5} \tanh ^5(x) (-\text{csch}(x)+i)+\frac{1}{15} \tanh ^3(x) (-4 \text{csch}(x)+5 i)+\frac{1}{15} \tanh (x) (-8 \text{csch}(x)+15 i)",1,"(-I)*x + ((15*I - 8*Csch[x])*Tanh[x])/15 + ((5*I - 4*Csch[x])*Tanh[x]^3)/15 + ((I - Csch[x])*Tanh[x]^5)/5","A",5,3,13,0.2308,1,"{3888, 3882, 8}"
104,1,77,0,0.0672505,"\int \frac{\tanh ^3(x)}{i+\text{csch}(x)} \, dx","Int[Tanh[x]^3/(I + Csch[x]),x]","-\frac{i}{8 (1-i \sinh (x))}-\frac{3 i}{4 (1+i \sinh (x))}+\frac{i}{8 (1+i \sinh (x))^2}-\frac{11}{16} i \log (-\sinh (x)+i)-\frac{5}{16} i \log (\sinh (x)+i)","-\frac{i}{8 (1-i \sinh (x))}-\frac{3 i}{4 (1+i \sinh (x))}+\frac{i}{8 (1+i \sinh (x))^2}-\frac{11}{16} i \log (-\sinh (x)+i)-\frac{5}{16} i \log (\sinh (x)+i)",1,"((-11*I)/16)*Log[I - Sinh[x]] - ((5*I)/16)*Log[I + Sinh[x]] - (I/8)/(1 - I*Sinh[x]) + (I/8)/(1 + I*Sinh[x])^2 - ((3*I)/4)/(1 + I*Sinh[x])","A",3,2,13,0.1538,1,"{3879, 88}"
105,1,36,0,0.0732533,"\int \frac{\tanh ^2(x)}{i+\text{csch}(x)} \, dx","Int[Tanh[x]^2/(I + Csch[x]),x]","-i x+\frac{1}{3} \tanh ^3(x) (-\text{csch}(x)+i)+\frac{1}{3} \tanh (x) (-2 \text{csch}(x)+3 i)","-i x+\frac{1}{3} \tanh ^3(x) (-\text{csch}(x)+i)+\frac{1}{3} \tanh (x) (-2 \text{csch}(x)+3 i)",1,"(-I)*x + ((3*I - 2*Csch[x])*Tanh[x])/3 + ((I - Csch[x])*Tanh[x]^3)/3","A",4,3,13,0.2308,1,"{3888, 3882, 8}"
106,1,45,0,0.0475287,"\int \frac{\tanh (x)}{i+\text{csch}(x)} \, dx","Int[Tanh[x]/(I + Csch[x]),x]","-\frac{i}{2 (1+i \sinh (x))}-\frac{3}{4} i \log (-\sinh (x)+i)-\frac{1}{4} i \log (\sinh (x)+i)","-\frac{i}{2 (1+i \sinh (x))}-\frac{3}{4} i \log (-\sinh (x)+i)-\frac{1}{4} i \log (\sinh (x)+i)",1,"((-3*I)/4)*Log[I - Sinh[x]] - (I/4)*Log[I + Sinh[x]] - (I/2)/(1 + I*Sinh[x])","A",3,2,11,0.1818,1,"{3879, 88}"
107,1,13,0,0.0227739,"\int \frac{\coth (x)}{i+\text{csch}(x)} \, dx","Int[Coth[x]/(I + Csch[x]),x]","-i \log (-\sinh (x)+i)","-i \log (-\sinh (x)+i)",1,"(-I)*Log[I - Sinh[x]]","A",2,2,11,0.1818,1,"{3879, 31}"
108,1,11,0,0.0383253,"\int \frac{\coth ^2(x)}{i+\text{csch}(x)} \, dx","Int[Coth[x]^2/(I + Csch[x]),x]","-\tanh ^{-1}(\cosh (x))-i x","-\tanh ^{-1}(\cosh (x))-i x",1,"(-I)*x - ArcTanh[Cosh[x]]","A",3,2,13,0.1538,1,"{3888, 3770}"
109,1,12,0,0.0386526,"\int \frac{\coth ^3(x)}{i+\text{csch}(x)} \, dx","Int[Coth[x]^3/(I + Csch[x]),x]","-\text{csch}(x)-i \log (\sinh (x))","-\text{csch}(x)-i \log (\sinh (x))",1,"-Csch[x] - I*Log[Sinh[x]]","A",3,2,13,0.1538,1,"{3879, 43}"
110,1,27,0,0.056028,"\int \frac{\coth ^4(x)}{i+\text{csch}(x)} \, dx","Int[Coth[x]^4/(I + Csch[x]),x]","-i x-\frac{1}{2} \tanh ^{-1}(\cosh (x))+\frac{1}{2} \coth (x) (-\text{csch}(x)+2 i)","-i x-\frac{1}{2} \tanh ^{-1}(\cosh (x))+\frac{1}{2} \coth (x) (-\text{csch}(x)+2 i)",1,"(-I)*x - ArcTanh[Cosh[x]]/2 + (Coth[x]*(2*I - Csch[x]))/2","A",4,3,13,0.2308,1,"{3888, 3881, 3770}"
111,1,30,0,0.0459022,"\int \frac{\coth ^5(x)}{i+\text{csch}(x)} \, dx","Int[Coth[x]^5/(I + Csch[x]),x]","-\frac{1}{3} \text{csch}^3(x)+\frac{1}{2} i \text{csch}^2(x)-\text{csch}(x)-i \log (\sinh (x))","-\frac{1}{3} \text{csch}^3(x)+\frac{1}{2} i \text{csch}^2(x)-\text{csch}(x)-i \log (\sinh (x))",1,"-Csch[x] + (I/2)*Csch[x]^2 - Csch[x]^3/3 - I*Log[Sinh[x]]","A",3,2,13,0.1538,1,"{3879, 75}"
112,1,43,0,0.0749438,"\int \frac{\coth ^6(x)}{i+\text{csch}(x)} \, dx","Int[Coth[x]^6/(I + Csch[x]),x]","-i x-\frac{3}{8} \tanh ^{-1}(\cosh (x))+\frac{1}{12} \coth ^3(x) (-3 \text{csch}(x)+4 i)+\frac{1}{8} \coth (x) (-3 \text{csch}(x)+8 i)","-i x-\frac{3}{8} \tanh ^{-1}(\cosh (x))+\frac{1}{12} \coth ^3(x) (-3 \text{csch}(x)+4 i)+\frac{1}{8} \coth (x) (-3 \text{csch}(x)+8 i)",1,"(-I)*x - (3*ArcTanh[Cosh[x]])/8 + (Coth[x]^3*(4*I - 3*Csch[x]))/12 + (Coth[x]*(8*I - 3*Csch[x]))/8","A",5,3,13,0.2308,1,"{3888, 3881, 3770}"
113,1,194,0,0.2548774,"\int \frac{\tanh ^5(x)}{a+b \text{csch}(x)} \, dx","Int[Tanh[x]^5/(a + b*Csch[x]),x]","-\frac{a \left(3 a^2 b^2+a^4+3 b^4\right) \log (\tanh (x))}{\left(a^2+b^2\right)^3}-\frac{b^5 \tan ^{-1}(\sinh (x))}{\left(a^2+b^2\right)^3}-\frac{b^3 \tan ^{-1}(\sinh (x))}{2 \left(a^2+b^2\right)^2}-\frac{3 b \tan ^{-1}(\sinh (x))}{8 \left(a^2+b^2\right)}+\frac{b^6 \log (a+b \text{csch}(x))}{a \left(a^2+b^2\right)^3}-\frac{\tanh ^4(x) (a-b \text{csch}(x))}{4 \left(a^2+b^2\right)}-\frac{\tanh ^2(x) \left(a \left(a^2+2 b^2\right)-b^3 \text{csch}(x)\right)}{2 \left(a^2+b^2\right)^2}+\frac{3 b \tanh (x) \text{sech}(x)}{8 \left(a^2+b^2\right)}+\frac{\log (\sinh (x))}{a}","-\frac{a \left(3 a^2 b^2+a^4+3 b^4\right) \log (\tanh (x))}{\left(a^2+b^2\right)^3}-\frac{b^5 \tan ^{-1}(\sinh (x))}{\left(a^2+b^2\right)^3}-\frac{b^3 \tan ^{-1}(\sinh (x))}{2 \left(a^2+b^2\right)^2}-\frac{3 b \tan ^{-1}(\sinh (x))}{8 \left(a^2+b^2\right)}+\frac{b^6 \log (a+b \text{csch}(x))}{a \left(a^2+b^2\right)^3}-\frac{\tanh ^4(x) (a-b \text{csch}(x))}{4 \left(a^2+b^2\right)}-\frac{\tanh ^2(x) \left(a \left(a^2+2 b^2\right)-b^3 \text{csch}(x)\right)}{2 \left(a^2+b^2\right)^2}+\frac{3 b \tanh (x) \text{sech}(x)}{8 \left(a^2+b^2\right)}+\frac{\log (\sinh (x))}{a}",1,"-((b^5*ArcTan[Sinh[x]])/(a^2 + b^2)^3) - (b^3*ArcTan[Sinh[x]])/(2*(a^2 + b^2)^2) - (3*b*ArcTan[Sinh[x]])/(8*(a^2 + b^2)) + (b^6*Log[a + b*Csch[x]])/(a*(a^2 + b^2)^3) + Log[Sinh[x]]/a - (a*(a^4 + 3*a^2*b^2 + 3*b^4)*Log[Tanh[x]])/(a^2 + b^2)^3 + (3*b*Sech[x]*Tanh[x])/(8*(a^2 + b^2)) - ((a*(a^2 + 2*b^2) - b^3*Csch[x])*Tanh[x]^2)/(2*(a^2 + b^2)^2) - ((a - b*Csch[x])*Tanh[x]^4)/(4*(a^2 + b^2))","A",11,7,13,0.5385,1,"{3885, 894, 639, 199, 203, 635, 260}"
114,1,183,0,0.3841484,"\int \frac{\tanh ^4(x)}{a+b \text{csch}(x)} \, dx","Int[Tanh[x]^4/(a + b*Csch[x]),x]","\frac{b^4 x}{a \left(a^2+b^2\right)^2}+\frac{a b^2 x}{\left(a^2+b^2\right)^2}+\frac{a x}{a^2+b^2}+\frac{2 b^5 \tanh ^{-1}\left(\frac{a-b \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{a \left(a^2+b^2\right)^{5/2}}-\frac{a \tanh ^3(x)}{3 \left(a^2+b^2\right)}-\frac{a b^2 \tanh (x)}{\left(a^2+b^2\right)^2}-\frac{a \tanh (x)}{a^2+b^2}-\frac{b \text{sech}^3(x)}{3 \left(a^2+b^2\right)}+\frac{b^3 \text{sech}(x)}{\left(a^2+b^2\right)^2}+\frac{b \text{sech}(x)}{a^2+b^2}","\frac{b^4 x}{a \left(a^2+b^2\right)^2}+\frac{a b^2 x}{\left(a^2+b^2\right)^2}+\frac{a x}{a^2+b^2}+\frac{2 b^5 \tanh ^{-1}\left(\frac{a-b \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{a \left(a^2+b^2\right)^{5/2}}-\frac{a \tanh ^3(x)}{3 \left(a^2+b^2\right)}-\frac{a b^2 \tanh (x)}{\left(a^2+b^2\right)^2}-\frac{a \tanh (x)}{a^2+b^2}-\frac{b \text{sech}^3(x)}{3 \left(a^2+b^2\right)}+\frac{b^3 \text{sech}(x)}{\left(a^2+b^2\right)^2}+\frac{b \text{sech}(x)}{a^2+b^2}",1,"(a*b^2*x)/(a^2 + b^2)^2 + (b^4*x)/(a*(a^2 + b^2)^2) + (a*x)/(a^2 + b^2) + (2*b^5*ArcTanh[(a - b*Tanh[x/2])/Sqrt[a^2 + b^2]])/(a*(a^2 + b^2)^(5/2)) + (b^3*Sech[x])/(a^2 + b^2)^2 + (b*Sech[x])/(a^2 + b^2) - (b*Sech[x]^3)/(3*(a^2 + b^2)) - (a*b^2*Tanh[x])/(a^2 + b^2)^2 - (a*Tanh[x])/(a^2 + b^2) - (a*Tanh[x]^3)/(3*(a^2 + b^2))","A",16,9,13,0.6923,1,"{3898, 2902, 2606, 3473, 8, 2735, 2660, 618, 204}"
115,1,113,0,0.1629865,"\int \frac{\tanh ^3(x)}{a+b \text{csch}(x)} \, dx","Int[Tanh[x]^3/(a + b*Csch[x]),x]","-\frac{a \left(a^2+2 b^2\right) \log (\tanh (x))}{\left(a^2+b^2\right)^2}-\frac{b^3 \tan ^{-1}(\sinh (x))}{\left(a^2+b^2\right)^2}-\frac{b \tan ^{-1}(\sinh (x))}{2 \left(a^2+b^2\right)}+\frac{b^4 \log (a+b \text{csch}(x))}{a \left(a^2+b^2\right)^2}-\frac{\tanh ^2(x) (a-b \text{csch}(x))}{2 \left(a^2+b^2\right)}+\frac{\log (\sinh (x))}{a}","-\frac{a \left(a^2+2 b^2\right) \log (\tanh (x))}{\left(a^2+b^2\right)^2}-\frac{b^3 \tan ^{-1}(\sinh (x))}{\left(a^2+b^2\right)^2}-\frac{b \tan ^{-1}(\sinh (x))}{2 \left(a^2+b^2\right)}+\frac{b^4 \log (a+b \text{csch}(x))}{a \left(a^2+b^2\right)^2}-\frac{\tanh ^2(x) (a-b \text{csch}(x))}{2 \left(a^2+b^2\right)}+\frac{\log (\sinh (x))}{a}",1,"-((b^3*ArcTan[Sinh[x]])/(a^2 + b^2)^2) - (b*ArcTan[Sinh[x]])/(2*(a^2 + b^2)) + (b^4*Log[a + b*Csch[x]])/(a*(a^2 + b^2)^2) + Log[Sinh[x]]/a - (a*(a^2 + 2*b^2)*Log[Tanh[x]])/(a^2 + b^2)^2 - ((a - b*Csch[x])*Tanh[x]^2)/(2*(a^2 + b^2))","A",8,6,13,0.4615,1,"{3885, 894, 639, 203, 635, 260}"
116,1,100,0,0.220667,"\int \frac{\tanh ^2(x)}{a+b \text{csch}(x)} \, dx","Int[Tanh[x]^2/(a + b*Csch[x]),x]","\frac{b^2 x}{a \left(a^2+b^2\right)}+\frac{a x}{a^2+b^2}+\frac{2 b^3 \tanh ^{-1}\left(\frac{a-b \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{a \left(a^2+b^2\right)^{3/2}}-\frac{a \tanh (x)}{a^2+b^2}+\frac{b \text{sech}(x)}{a^2+b^2}","\frac{b^2 x}{a \left(a^2+b^2\right)}+\frac{a x}{a^2+b^2}+\frac{2 b^3 \tanh ^{-1}\left(\frac{a-b \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{a \left(a^2+b^2\right)^{3/2}}-\frac{a \tanh (x)}{a^2+b^2}+\frac{b \text{sech}(x)}{a^2+b^2}",1,"(a*x)/(a^2 + b^2) + (b^2*x)/(a*(a^2 + b^2)) + (2*b^3*ArcTanh[(a - b*Tanh[x/2])/Sqrt[a^2 + b^2]])/(a*(a^2 + b^2)^(3/2)) + (b*Sech[x])/(a^2 + b^2) - (a*Tanh[x])/(a^2 + b^2)","A",10,9,13,0.6923,1,"{3898, 2902, 2606, 8, 3473, 2735, 2660, 618, 204}"
117,1,61,0,0.0994827,"\int \frac{\tanh (x)}{a+b \text{csch}(x)} \, dx","Int[Tanh[x]/(a + b*Csch[x]),x]","-\frac{a \log (\tanh (x))}{a^2+b^2}-\frac{b \tan ^{-1}(\sinh (x))}{a^2+b^2}+\frac{b^2 \log (a+b \text{csch}(x))}{a \left(a^2+b^2\right)}+\frac{\log (\sinh (x))}{a}","-\frac{a \log (\tanh (x))}{a^2+b^2}-\frac{b \tan ^{-1}(\sinh (x))}{a^2+b^2}+\frac{b^2 \log (a+b \text{csch}(x))}{a \left(a^2+b^2\right)}+\frac{\log (\sinh (x))}{a}",1,"-((b*ArcTan[Sinh[x]])/(a^2 + b^2)) + (b^2*Log[a + b*Csch[x]])/(a*(a^2 + b^2)) + Log[Sinh[x]]/a - (a*Log[Tanh[x]])/(a^2 + b^2)","A",6,5,11,0.4545,1,"{3885, 894, 635, 203, 260}"
118,1,19,0,0.0316641,"\int \frac{\coth (x)}{a+b \text{csch}(x)} \, dx","Int[Coth[x]/(a + b*Csch[x]),x]","\frac{\log (a+b \text{csch}(x))}{a}+\frac{\log (\sinh (x))}{a}","\frac{\log (a+b \text{csch}(x))}{a}+\frac{\log (\sinh (x))}{a}",1,"Log[a + b*Csch[x]]/a + Log[Sinh[x]]/a","A",4,4,11,0.3636,1,"{3885, 36, 29, 31}"
119,1,57,0,0.1781603,"\int \frac{\coth ^2(x)}{a+b \text{csch}(x)} \, dx","Int[Coth[x]^2/(a + b*Csch[x]),x]","\frac{2 \sqrt{a^2+b^2} \tanh ^{-1}\left(\frac{a-b \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{a b}+\frac{x}{a}-\frac{\tanh ^{-1}(\cosh (x))}{b}","\frac{2 \sqrt{a^2+b^2} \tanh ^{-1}\left(\frac{a-b \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{a b}+\frac{x}{a}-\frac{\tanh ^{-1}(\cosh (x))}{b}",1,"x/a - ArcTanh[Cosh[x]]/b + (2*Sqrt[a^2 + b^2]*ArcTanh[(a - b*Tanh[x/2])/Sqrt[a^2 + b^2]])/(a*b)","A",8,8,13,0.6154,1,"{3894, 4051, 3770, 3919, 3831, 2660, 618, 206}"
120,1,32,0,0.0721172,"\int \frac{\coth ^3(x)}{a+b \text{csch}(x)} \, dx","Int[Coth[x]^3/(a + b*Csch[x]),x]","\left(\frac{a}{b^2}+\frac{1}{a}\right) \log (a+b \text{csch}(x))+\frac{\log (\sinh (x))}{a}-\frac{\text{csch}(x)}{b}","\left(\frac{a}{b^2}+\frac{1}{a}\right) \log (a+b \text{csch}(x))+\frac{\log (\sinh (x))}{a}-\frac{\text{csch}(x)}{b}",1,"-(Csch[x]/b) + (a^(-1) + a/b^2)*Log[a + b*Csch[x]] + Log[Sinh[x]]/a","A",3,2,13,0.1538,1,"{3885, 894}"
121,1,88,0,0.3321788,"\int \frac{\coth ^4(x)}{a+b \text{csch}(x)} \, dx","Int[Coth[x]^4/(a + b*Csch[x]),x]","\frac{2 \left(a^2+b^2\right)^{3/2} \tanh ^{-1}\left(\frac{a-b \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{a b^3}-\frac{\left(2 a^2+3 b^2\right) \tanh ^{-1}(\cosh (x))}{2 b^3}+\frac{a \coth (x)}{b^2}+\frac{x}{a}-\frac{\coth (x) \text{csch}(x)}{2 b}","\frac{2 \left(a^2+b^2\right)^{3/2} \tanh ^{-1}\left(\frac{a-b \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{a b^3}-\frac{\left(2 a^2+3 b^2\right) \tanh ^{-1}(\cosh (x))}{2 b^3}+\frac{a \coth (x)}{b^2}+\frac{x}{a}-\frac{\coth (x) \text{csch}(x)}{2 b}",1,"x/a - ((2*a^2 + 3*b^2)*ArcTanh[Cosh[x]])/(2*b^3) + (2*(a^2 + b^2)^(3/2)*ArcTanh[(a - b*Tanh[x/2])/Sqrt[a^2 + b^2]])/(a*b^3) + (a*Coth[x])/b^2 - (Coth[x]*Csch[x])/(2*b)","A",7,7,13,0.5385,1,"{3898, 2893, 3057, 2660, 618, 204, 3770}"
122,1,70,0,0.094092,"\int \frac{\coth ^5(x)}{a+b \text{csch}(x)} \, dx","Int[Coth[x]^5/(a + b*Csch[x]),x]","-\frac{\left(a^2+2 b^2\right) \text{csch}(x)}{b^3}+\frac{\left(a^2+b^2\right)^2 \log (a+b \text{csch}(x))}{a b^4}+\frac{a \text{csch}^2(x)}{2 b^2}+\frac{\log (\sinh (x))}{a}-\frac{\text{csch}^3(x)}{3 b}","-\frac{\left(a^2+2 b^2\right) \text{csch}(x)}{b^3}+\frac{\left(a^2+b^2\right)^2 \log (a+b \text{csch}(x))}{a b^4}+\frac{a \text{csch}^2(x)}{2 b^2}+\frac{\log (\sinh (x))}{a}-\frac{\text{csch}^3(x)}{3 b}",1,"-(((a^2 + 2*b^2)*Csch[x])/b^3) + (a*Csch[x]^2)/(2*b^2) - Csch[x]^3/(3*b) + ((a^2 + b^2)^2*Log[a + b*Csch[x]])/(a*b^4) + Log[Sinh[x]]/a","A",3,2,13,0.1538,1,"{3885, 894}"
123,1,183,0,0.3365133,"\int \frac{\coth ^6(x)}{a+b \text{csch}(x)} \, dx","Int[Coth[x]^6/(a + b*Csch[x]),x]","\frac{2 \left(a^2+b^2\right)^{5/2} \tanh ^{-1}\left(\frac{a-b \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{a b^5}+\frac{a \left(a^2+3 b^2\right) \coth (x)}{b^4}+\frac{\left(a^2+3 b^2\right) \tanh ^{-1}(\cosh (x))}{2 b^3}-\frac{\left(3 a^2 b^2+a^4+3 b^4\right) \tanh ^{-1}(\cosh (x))}{b^5}-\frac{\left(a^2+3 b^2\right) \coth (x) \text{csch}(x)}{2 b^3}+\frac{a \coth ^3(x)}{3 b^2}-\frac{a \coth (x)}{b^2}+\frac{x}{a}-\frac{3 \tanh ^{-1}(\cosh (x))}{8 b}-\frac{\coth (x) \text{csch}^3(x)}{4 b}+\frac{3 \coth (x) \text{csch}(x)}{8 b}","\frac{2 \left(a^2+b^2\right)^{5/2} \tanh ^{-1}\left(\frac{a-b \tanh \left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{a b^5}+\frac{a \left(a^2+3 b^2\right) \coth (x)}{b^4}+\frac{\left(a^2+3 b^2\right) \tanh ^{-1}(\cosh (x))}{2 b^3}-\frac{\left(3 a^2 b^2+a^4+3 b^4\right) \tanh ^{-1}(\cosh (x))}{b^5}-\frac{\left(a^2+3 b^2\right) \coth (x) \text{csch}(x)}{2 b^3}+\frac{a \coth ^3(x)}{3 b^2}-\frac{a \coth (x)}{b^2}+\frac{x}{a}-\frac{3 \tanh ^{-1}(\cosh (x))}{8 b}-\frac{\coth (x) \text{csch}^3(x)}{4 b}+\frac{3 \coth (x) \text{csch}(x)}{8 b}",1,"x/a - (3*ArcTanh[Cosh[x]])/(8*b) + ((a^2 + 3*b^2)*ArcTanh[Cosh[x]])/(2*b^3) - ((a^4 + 3*a^2*b^2 + 3*b^4)*ArcTanh[Cosh[x]])/b^5 + (2*(a^2 + b^2)^(5/2)*ArcTanh[(a - b*Tanh[x/2])/Sqrt[a^2 + b^2]])/(a*b^5) - (a*Coth[x])/b^2 + (a*(a^2 + 3*b^2)*Coth[x])/b^4 + (a*Coth[x]^3)/(3*b^2) + (3*Coth[x]*Csch[x])/(8*b) - ((a^2 + 3*b^2)*Coth[x]*Csch[x])/(2*b^3) - (Coth[x]*Csch[x]^3)/(4*b)","A",16,9,13,0.6923,1,"{3898, 2897, 3770, 3767, 8, 3768, 2660, 618, 204}"
124,1,119,0,0.1405222,"\int \frac{\coth ^7(x)}{a+b \text{csch}(x)} \, dx","Int[Coth[x]^7/(a + b*Csch[x]),x]","-\frac{\left(a^2+3 b^2\right) \text{csch}^3(x)}{3 b^3}+\frac{a \left(a^2+3 b^2\right) \text{csch}^2(x)}{2 b^4}-\frac{\left(3 a^2 b^2+a^4+3 b^4\right) \text{csch}(x)}{b^5}+\frac{\left(a^2+b^2\right)^3 \log (a+b \text{csch}(x))}{a b^6}+\frac{a \text{csch}^4(x)}{4 b^2}+\frac{\log (\sinh (x))}{a}-\frac{\text{csch}^5(x)}{5 b}","-\frac{\left(a^2+3 b^2\right) \text{csch}^3(x)}{3 b^3}+\frac{a \left(a^2+3 b^2\right) \text{csch}^2(x)}{2 b^4}-\frac{\left(3 a^2 b^2+a^4+3 b^4\right) \text{csch}(x)}{b^5}+\frac{\left(a^2+b^2\right)^3 \log (a+b \text{csch}(x))}{a b^6}+\frac{a \text{csch}^4(x)}{4 b^2}+\frac{\log (\sinh (x))}{a}-\frac{\text{csch}^5(x)}{5 b}",1,"-(((a^4 + 3*a^2*b^2 + 3*b^4)*Csch[x])/b^5) + (a*(a^2 + 3*b^2)*Csch[x]^2)/(2*b^4) - ((a^2 + 3*b^2)*Csch[x]^3)/(3*b^3) + (a*Csch[x]^4)/(4*b^2) - Csch[x]^5/(5*b) + ((a^2 + b^2)^3*Log[a + b*Csch[x]])/(a*b^6) + Log[Sinh[x]]/a","A",3,2,13,0.1538,1,"{3885, 894}"
125,1,199,0,0.3025272,"\int e^{c (a+b x)} \text{csch}^2(a c+b c x)^{7/2} \, dx","Int[E^(c*(a + b*x))*(Csch[a*c + b*c*x]^2)^(7/2),x]","\frac{64 \sinh (a c+b c x) \sqrt{\text{csch}^2(a c+b c x)}}{3 b c \left(1-e^{2 c (a+b x)}\right)^3}-\frac{48 \sinh (a c+b c x) \sqrt{\text{csch}^2(a c+b c x)}}{b c \left(1-e^{2 c (a+b x)}\right)^4}+\frac{192 \sinh (a c+b c x) \sqrt{\text{csch}^2(a c+b c x)}}{5 b c \left(1-e^{2 c (a+b x)}\right)^5}-\frac{32 \sinh (a c+b c x) \sqrt{\text{csch}^2(a c+b c x)}}{3 b c \left(1-e^{2 c (a+b x)}\right)^6}","\frac{64 \sinh (a c+b c x) \sqrt{\text{csch}^2(a c+b c x)}}{3 b c \left(1-e^{2 c (a+b x)}\right)^3}-\frac{48 \sinh (a c+b c x) \sqrt{\text{csch}^2(a c+b c x)}}{b c \left(1-e^{2 c (a+b x)}\right)^4}+\frac{192 \sinh (a c+b c x) \sqrt{\text{csch}^2(a c+b c x)}}{5 b c \left(1-e^{2 c (a+b x)}\right)^5}-\frac{32 \sinh (a c+b c x) \sqrt{\text{csch}^2(a c+b c x)}}{3 b c \left(1-e^{2 c (a+b x)}\right)^6}",1,"(-32*Sqrt[Csch[a*c + b*c*x]^2]*Sinh[a*c + b*c*x])/(3*b*c*(1 - E^(2*c*(a + b*x)))^6) + (192*Sqrt[Csch[a*c + b*c*x]^2]*Sinh[a*c + b*c*x])/(5*b*c*(1 - E^(2*c*(a + b*x)))^5) - (48*Sqrt[Csch[a*c + b*c*x]^2]*Sinh[a*c + b*c*x])/(b*c*(1 - E^(2*c*(a + b*x)))^4) + (64*Sqrt[Csch[a*c + b*c*x]^2]*Sinh[a*c + b*c*x])/(3*b*c*(1 - E^(2*c*(a + b*x)))^3)","A",6,5,25,0.2000,1,"{6720, 2282, 12, 266, 43}"
126,1,147,0,0.1710032,"\int e^{c (a+b x)} \text{csch}^2(a c+b c x)^{5/2} \, dx","Int[E^(c*(a + b*x))*(Csch[a*c + b*c*x]^2)^(5/2),x]","-\frac{8 \sinh (a c+b c x) \sqrt{\text{csch}^2(a c+b c x)}}{b c \left(1-e^{2 c (a+b x)}\right)^2}+\frac{32 \sinh (a c+b c x) \sqrt{\text{csch}^2(a c+b c x)}}{3 b c \left(1-e^{2 c (a+b x)}\right)^3}-\frac{4 \sinh (a c+b c x) \sqrt{\text{csch}^2(a c+b c x)}}{b c \left(1-e^{2 c (a+b x)}\right)^4}","-\frac{8 \sinh (a c+b c x) \sqrt{\text{csch}^2(a c+b c x)}}{b c \left(1-e^{2 c (a+b x)}\right)^2}+\frac{32 \sinh (a c+b c x) \sqrt{\text{csch}^2(a c+b c x)}}{3 b c \left(1-e^{2 c (a+b x)}\right)^3}-\frac{4 \sinh (a c+b c x) \sqrt{\text{csch}^2(a c+b c x)}}{b c \left(1-e^{2 c (a+b x)}\right)^4}",1,"(-4*Sqrt[Csch[a*c + b*c*x]^2]*Sinh[a*c + b*c*x])/(b*c*(1 - E^(2*c*(a + b*x)))^4) + (32*Sqrt[Csch[a*c + b*c*x]^2]*Sinh[a*c + b*c*x])/(3*b*c*(1 - E^(2*c*(a + b*x)))^3) - (8*Sqrt[Csch[a*c + b*c*x]^2]*Sinh[a*c + b*c*x])/(b*c*(1 - E^(2*c*(a + b*x)))^2)","A",6,5,25,0.2000,1,"{6720, 2282, 12, 266, 43}"
127,1,58,0,0.1175617,"\int e^{c (a+b x)} \text{csch}^2(a c+b c x)^{3/2} \, dx","Int[E^(c*(a + b*x))*(Csch[a*c + b*c*x]^2)^(3/2),x]","-\frac{2 e^{4 c (a+b x)} \sinh (a c+b c x) \sqrt{\text{csch}^2(a c+b c x)}}{b c \left(1-e^{2 c (a+b x)}\right)^2}","-\frac{2 e^{4 c (a+b x)} \sinh (a c+b c x) \sqrt{\text{csch}^2(a c+b c x)}}{b c \left(1-e^{2 c (a+b x)}\right)^2}",1,"(-2*E^(4*c*(a + b*x))*Sqrt[Csch[a*c + b*c*x]^2]*Sinh[a*c + b*c*x])/(b*c*(1 - E^(2*c*(a + b*x)))^2)","A",4,4,25,0.1600,1,"{6720, 2282, 12, 264}"
128,1,46,0,0.090595,"\int e^{c (a+b x)} \sqrt{\text{csch}^2(a c+b c x)} \, dx","Int[E^(c*(a + b*x))*Sqrt[Csch[a*c + b*c*x]^2],x]","\frac{\log \left(1-e^{2 c (a+b x)}\right) \sinh (a c+b c x) \sqrt{\text{csch}^2(a c+b c x)}}{b c}","\frac{\log \left(1-e^{2 c (a+b x)}\right) \sinh (a c+b c x) \sqrt{\text{csch}^2(a c+b c x)}}{b c}",1,"(Sqrt[Csch[a*c + b*c*x]^2]*Log[1 - E^(2*c*(a + b*x))]*Sinh[a*c + b*c*x])/(b*c)","A",4,4,25,0.1600,1,"{6720, 2282, 12, 260}"
129,1,74,0,0.1147648,"\int \frac{e^{c (a+b x)}}{\sqrt{\text{csch}^2(a c+b c x)}} \, dx","Int[E^(c*(a + b*x))/Sqrt[Csch[a*c + b*c*x]^2],x]","\frac{e^{2 c (a+b x)} \text{csch}(a c+b c x)}{4 b c \sqrt{\text{csch}^2(a c+b c x)}}-\frac{x \text{csch}(a c+b c x)}{2 \sqrt{\text{csch}^2(a c+b c x)}}","\frac{e^{2 c (a+b x)} \text{csch}(a c+b c x)}{4 b c \sqrt{\text{csch}^2(a c+b c x)}}-\frac{x \text{csch}(a c+b c x)}{2 \sqrt{\text{csch}^2(a c+b c x)}}",1,"(E^(2*c*(a + b*x))*Csch[a*c + b*c*x])/(4*b*c*Sqrt[Csch[a*c + b*c*x]^2]) - (x*Csch[a*c + b*c*x])/(2*Sqrt[Csch[a*c + b*c*x]^2])","A",5,4,25,0.1600,1,"{6720, 2282, 12, 14}"
130,1,162,0,0.1533453,"\int \frac{e^{c (a+b x)}}{\text{csch}^2(a c+b c x)^{3/2}} \, dx","Int[E^(c*(a + b*x))/(Csch[a*c + b*c*x]^2)^(3/2),x]","\frac{e^{-2 c (a+b x)} \text{csch}(a c+b c x)}{16 b c \sqrt{\text{csch}^2(a c+b c x)}}-\frac{3 e^{2 c (a+b x)} \text{csch}(a c+b c x)}{16 b c \sqrt{\text{csch}^2(a c+b c x)}}+\frac{e^{4 c (a+b x)} \text{csch}(a c+b c x)}{32 b c \sqrt{\text{csch}^2(a c+b c x)}}+\frac{3 x \text{csch}(a c+b c x)}{8 \sqrt{\text{csch}^2(a c+b c x)}}","\frac{e^{-2 c (a+b x)} \text{csch}(a c+b c x)}{16 b c \sqrt{\text{csch}^2(a c+b c x)}}-\frac{3 e^{2 c (a+b x)} \text{csch}(a c+b c x)}{16 b c \sqrt{\text{csch}^2(a c+b c x)}}+\frac{e^{4 c (a+b x)} \text{csch}(a c+b c x)}{32 b c \sqrt{\text{csch}^2(a c+b c x)}}+\frac{3 x \text{csch}(a c+b c x)}{8 \sqrt{\text{csch}^2(a c+b c x)}}",1,"Csch[a*c + b*c*x]/(16*b*c*E^(2*c*(a + b*x))*Sqrt[Csch[a*c + b*c*x]^2]) - (3*E^(2*c*(a + b*x))*Csch[a*c + b*c*x])/(16*b*c*Sqrt[Csch[a*c + b*c*x]^2]) + (E^(4*c*(a + b*x))*Csch[a*c + b*c*x])/(32*b*c*Sqrt[Csch[a*c + b*c*x]^2]) + (3*x*Csch[a*c + b*c*x])/(8*Sqrt[Csch[a*c + b*c*x]^2])","A",6,5,25,0.2000,1,"{6720, 2282, 12, 266, 43}"
131,1,250,0,0.1997108,"\int \frac{e^{c (a+b x)}}{\text{csch}^2(a c+b c x)^{5/2}} \, dx","Int[E^(c*(a + b*x))/(Csch[a*c + b*c*x]^2)^(5/2),x]","\frac{e^{-4 c (a+b x)} \text{csch}(a c+b c x)}{128 b c \sqrt{\text{csch}^2(a c+b c x)}}-\frac{5 e^{-2 c (a+b x)} \text{csch}(a c+b c x)}{64 b c \sqrt{\text{csch}^2(a c+b c x)}}+\frac{5 e^{2 c (a+b x)} \text{csch}(a c+b c x)}{32 b c \sqrt{\text{csch}^2(a c+b c x)}}-\frac{5 e^{4 c (a+b x)} \text{csch}(a c+b c x)}{128 b c \sqrt{\text{csch}^2(a c+b c x)}}+\frac{e^{6 c (a+b x)} \text{csch}(a c+b c x)}{192 b c \sqrt{\text{csch}^2(a c+b c x)}}-\frac{5 x \text{csch}(a c+b c x)}{16 \sqrt{\text{csch}^2(a c+b c x)}}","\frac{e^{-4 c (a+b x)} \text{csch}(a c+b c x)}{128 b c \sqrt{\text{csch}^2(a c+b c x)}}-\frac{5 e^{-2 c (a+b x)} \text{csch}(a c+b c x)}{64 b c \sqrt{\text{csch}^2(a c+b c x)}}+\frac{5 e^{2 c (a+b x)} \text{csch}(a c+b c x)}{32 b c \sqrt{\text{csch}^2(a c+b c x)}}-\frac{5 e^{4 c (a+b x)} \text{csch}(a c+b c x)}{128 b c \sqrt{\text{csch}^2(a c+b c x)}}+\frac{e^{6 c (a+b x)} \text{csch}(a c+b c x)}{192 b c \sqrt{\text{csch}^2(a c+b c x)}}-\frac{5 x \text{csch}(a c+b c x)}{16 \sqrt{\text{csch}^2(a c+b c x)}}",1,"Csch[a*c + b*c*x]/(128*b*c*E^(4*c*(a + b*x))*Sqrt[Csch[a*c + b*c*x]^2]) - (5*Csch[a*c + b*c*x])/(64*b*c*E^(2*c*(a + b*x))*Sqrt[Csch[a*c + b*c*x]^2]) + (5*E^(2*c*(a + b*x))*Csch[a*c + b*c*x])/(32*b*c*Sqrt[Csch[a*c + b*c*x]^2]) - (5*E^(4*c*(a + b*x))*Csch[a*c + b*c*x])/(128*b*c*Sqrt[Csch[a*c + b*c*x]^2]) + (E^(6*c*(a + b*x))*Csch[a*c + b*c*x])/(192*b*c*Sqrt[Csch[a*c + b*c*x]^2]) - (5*x*Csch[a*c + b*c*x])/(16*Sqrt[Csch[a*c + b*c*x]^2])","A",6,5,25,0.2000,1,"{6720, 2282, 12, 266, 43}"
132,1,81,0,0.0679058,"\int \frac{x^5}{\sqrt{\text{csch}(2 \log (c x))}} \, dx","Int[x^5/Sqrt[Csch[2*Log[c*x]]],x]","-\frac{2 x^2}{21 c^4 \sqrt{\text{csch}(2 \log (c x))}}+\frac{2 F\left(\left.\csc ^{-1}(c x)\right|-1\right)}{21 c^7 x \sqrt{1-\frac{1}{c^4 x^4}} \sqrt{\text{csch}(2 \log (c x))}}+\frac{x^6}{7 \sqrt{\text{csch}(2 \log (c x))}}","-\frac{2 x^2}{21 c^4 \sqrt{\text{csch}(2 \log (c x))}}+\frac{2 F\left(\left.\csc ^{-1}(c x)\right|-1\right)}{21 c^7 x \sqrt{1-\frac{1}{c^4 x^4}} \sqrt{\text{csch}(2 \log (c x))}}+\frac{x^6}{7 \sqrt{\text{csch}(2 \log (c x))}}",1,"(-2*x^2)/(21*c^4*Sqrt[Csch[2*Log[c*x]]]) + x^6/(7*Sqrt[Csch[2*Log[c*x]]]) + (2*EllipticF[ArcCsc[c*x], -1])/(21*c^7*Sqrt[1 - 1/(c^4*x^4)]*x*Sqrt[Csch[2*Log[c*x]]])","A",6,6,15,0.4000,1,"{5552, 5550, 335, 277, 325, 221}"
133,1,30,0,0.0452772,"\int \frac{x^4}{\sqrt{\text{csch}(2 \log (c x))}} \, dx","Int[x^4/Sqrt[Csch[2*Log[c*x]]],x]","\frac{x^5 \left(c^4-\frac{1}{x^4}\right)}{6 c^4 \sqrt{\text{csch}(2 \log (c x))}}","\frac{x^5 \left(c^4-\frac{1}{x^4}\right)}{6 c^4 \sqrt{\text{csch}(2 \log (c x))}}",1,"((c^4 - x^(-4))*x^5)/(6*c^4*Sqrt[Csch[2*Log[c*x]]])","A",3,3,15,0.2000,1,"{5552, 5550, 264}"
134,1,119,0,0.0863124,"\int \frac{x^3}{\sqrt{\text{csch}(2 \log (c x))}} \, dx","Int[x^3/Sqrt[Csch[2*Log[c*x]]],x]","\frac{2 F\left(\left.\csc ^{-1}(c x)\right|-1\right)}{5 c^5 x \sqrt{1-\frac{1}{c^4 x^4}} \sqrt{\text{csch}(2 \log (c x))}}-\frac{2 E\left(\left.\csc ^{-1}(c x)\right|-1\right)}{5 c^5 x \sqrt{1-\frac{1}{c^4 x^4}} \sqrt{\text{csch}(2 \log (c x))}}-\frac{2}{5 c^4 \sqrt{\text{csch}(2 \log (c x))}}+\frac{x^4}{5 \sqrt{\text{csch}(2 \log (c x))}}","\frac{2 F\left(\left.\csc ^{-1}(c x)\right|-1\right)}{5 c^5 x \sqrt{1-\frac{1}{c^4 x^4}} \sqrt{\text{csch}(2 \log (c x))}}-\frac{2 E\left(\left.\csc ^{-1}(c x)\right|-1\right)}{5 c^5 x \sqrt{1-\frac{1}{c^4 x^4}} \sqrt{\text{csch}(2 \log (c x))}}-\frac{2}{5 c^4 \sqrt{\text{csch}(2 \log (c x))}}+\frac{x^4}{5 \sqrt{\text{csch}(2 \log (c x))}}",1,"-2/(5*c^4*Sqrt[Csch[2*Log[c*x]]]) + x^4/(5*Sqrt[Csch[2*Log[c*x]]]) - (2*EllipticE[ArcCsc[c*x], -1])/(5*c^5*Sqrt[1 - 1/(c^4*x^4)]*x*Sqrt[Csch[2*Log[c*x]]]) + (2*EllipticF[ArcCsc[c*x], -1])/(5*c^5*Sqrt[1 - 1/(c^4*x^4)]*x*Sqrt[Csch[2*Log[c*x]]])","A",9,9,15,0.6000,1,"{5552, 5550, 335, 277, 325, 307, 221, 1181, 424}"
135,1,69,0,0.0580091,"\int \frac{x^2}{\sqrt{\text{csch}(2 \log (c x))}} \, dx","Int[x^2/Sqrt[Csch[2*Log[c*x]]],x]","\frac{x^3}{4 \sqrt{\text{csch}(2 \log (c x))}}-\frac{\tanh ^{-1}\left(\sqrt{1-\frac{1}{c^4 x^4}}\right)}{4 c^4 x \sqrt{1-\frac{1}{c^4 x^4}} \sqrt{\text{csch}(2 \log (c x))}}","\frac{x^3}{4 \sqrt{\text{csch}(2 \log (c x))}}-\frac{\tanh ^{-1}\left(\sqrt{1-\frac{1}{c^4 x^4}}\right)}{4 c^4 x \sqrt{1-\frac{1}{c^4 x^4}} \sqrt{\text{csch}(2 \log (c x))}}",1,"x^3/(4*Sqrt[Csch[2*Log[c*x]]]) - ArcTanh[Sqrt[1 - 1/(c^4*x^4)]]/(4*c^4*Sqrt[1 - 1/(c^4*x^4)]*x*Sqrt[Csch[2*Log[c*x]]])","A",6,6,15,0.4000,1,"{5552, 5550, 266, 47, 63, 206}"
136,1,60,0,0.0405378,"\int \frac{x}{\sqrt{\text{csch}(2 \log (c x))}} \, dx","Int[x/Sqrt[Csch[2*Log[c*x]]],x]","\frac{2 F\left(\left.\csc ^{-1}(c x)\right|-1\right)}{3 c^3 x \sqrt{1-\frac{1}{c^4 x^4}} \sqrt{\text{csch}(2 \log (c x))}}+\frac{x^2}{3 \sqrt{\text{csch}(2 \log (c x))}}","\frac{2 F\left(\left.\csc ^{-1}(c x)\right|-1\right)}{3 c^3 x \sqrt{1-\frac{1}{c^4 x^4}} \sqrt{\text{csch}(2 \log (c x))}}+\frac{x^2}{3 \sqrt{\text{csch}(2 \log (c x))}}",1,"x^2/(3*Sqrt[Csch[2*Log[c*x]]]) + (2*EllipticF[ArcCsc[c*x], -1])/(3*c^3*Sqrt[1 - 1/(c^4*x^4)]*x*Sqrt[Csch[2*Log[c*x]]])","A",5,5,13,0.3846,1,"{5552, 5550, 335, 277, 221}"
137,1,60,0,0.0353633,"\int \frac{1}{\sqrt{\text{csch}(2 \log (c x))}} \, dx","Int[1/Sqrt[Csch[2*Log[c*x]]],x]","\frac{\csc ^{-1}\left(c^2 x^2\right)}{2 c^2 x \sqrt{1-\frac{1}{c^4 x^4}} \sqrt{\text{csch}(2 \log (c x))}}+\frac{x}{2 \sqrt{\text{csch}(2 \log (c x))}}","\frac{\csc ^{-1}\left(c^2 x^2\right)}{2 c^2 x \sqrt{1-\frac{1}{c^4 x^4}} \sqrt{\text{csch}(2 \log (c x))}}+\frac{x}{2 \sqrt{\text{csch}(2 \log (c x))}}",1,"x/(2*Sqrt[Csch[2*Log[c*x]]]) + ArcCsc[c^2*x^2]/(2*c^2*Sqrt[1 - 1/(c^4*x^4)]*x*Sqrt[Csch[2*Log[c*x]]])","A",6,6,11,0.5455,1,"{5546, 5544, 335, 275, 277, 216}"
138,1,46,0,0.0321486,"\int \frac{\sqrt{\text{csch}(2 \log (c x))}}{x} \, dx","Int[Sqrt[Csch[2*Log[c*x]]]/x,x]","i \sqrt{i \sinh (2 \log (c x))} \sqrt{\text{csch}(2 \log (c x))} F\left(\left.\frac{\pi }{4}-i \log (c x)\right|2\right)","i \sqrt{i \sinh (2 \log (c x))} \sqrt{\text{csch}(2 \log (c x))} F\left(\left.\frac{\pi }{4}-i \log (c x)\right|2\right)",1,"I*Sqrt[Csch[2*Log[c*x]]]*EllipticF[Pi/4 - I*Log[c*x], 2]*Sqrt[I*Sinh[2*Log[c*x]]]","A",3,2,15,0.1333,1,"{3771, 2641}"
139,1,41,0,0.0460243,"\int \frac{\sqrt{\text{csch}(2 \log (c x))}}{x^2} \, dx","Int[Sqrt[Csch[2*Log[c*x]]]/x^2,x]","-\frac{1}{2} c^2 x \sqrt{1-\frac{1}{c^4 x^4}} \csc ^{-1}\left(c^2 x^2\right) \sqrt{\text{csch}(2 \log (c x))}","-\frac{1}{2} c^2 x \sqrt{1-\frac{1}{c^4 x^4}} \csc ^{-1}\left(c^2 x^2\right) \sqrt{\text{csch}(2 \log (c x))}",1,"-(c^2*Sqrt[1 - 1/(c^4*x^4)]*x*ArcCsc[c^2*x^2]*Sqrt[Csch[2*Log[c*x]]])/2","A",5,5,15,0.3333,1,"{5552, 5550, 335, 275, 216}"
140,1,74,0,0.0656654,"\int \frac{\sqrt{\text{csch}(2 \log (c x))}}{x^3} \, dx","Int[Sqrt[Csch[2*Log[c*x]]]/x^3,x]","c^3 x \sqrt{1-\frac{1}{c^4 x^4}} F\left(\left.\csc ^{-1}(c x)\right|-1\right) \sqrt{\text{csch}(2 \log (c x))}-c^3 x \sqrt{1-\frac{1}{c^4 x^4}} E\left(\left.\csc ^{-1}(c x)\right|-1\right) \sqrt{\text{csch}(2 \log (c x))}","c^3 x \sqrt{1-\frac{1}{c^4 x^4}} F\left(\left.\csc ^{-1}(c x)\right|-1\right) \sqrt{\text{csch}(2 \log (c x))}-c^3 x \sqrt{1-\frac{1}{c^4 x^4}} E\left(\left.\csc ^{-1}(c x)\right|-1\right) \sqrt{\text{csch}(2 \log (c x))}",1,"-(c^3*Sqrt[1 - 1/(c^4*x^4)]*x*Sqrt[Csch[2*Log[c*x]]]*EllipticE[ArcCsc[c*x], -1]) + c^3*Sqrt[1 - 1/(c^4*x^4)]*x*Sqrt[Csch[2*Log[c*x]]]*EllipticF[ArcCsc[c*x], -1]","A",7,7,15,0.4667,1,"{5552, 5550, 335, 307, 221, 1181, 424}"
141,1,25,0,0.0409001,"\int \frac{\sqrt{\text{csch}(2 \log (c x))}}{x^4} \, dx","Int[Sqrt[Csch[2*Log[c*x]]]/x^4,x]","\frac{1}{2} x \left(c^4-\frac{1}{x^4}\right) \sqrt{\text{csch}(2 \log (c x))}","\frac{1}{2} x \left(c^4-\frac{1}{x^4}\right) \sqrt{\text{csch}(2 \log (c x))}",1,"((c^4 - x^(-4))*x*Sqrt[Csch[2*Log[c*x]]])/2","A",3,3,15,0.2000,1,"{5552, 5550, 261}"
142,1,64,0,0.0546849,"\int \frac{\sqrt{\text{csch}(2 \log (c x))}}{x^5} \, dx","Int[Sqrt[Csch[2*Log[c*x]]]/x^5,x]","\frac{1}{3} \left(c^4-\frac{1}{x^4}\right) \sqrt{\text{csch}(2 \log (c x))}-\frac{1}{3} c^5 x \sqrt{1-\frac{1}{c^4 x^4}} F\left(\left.\csc ^{-1}(c x)\right|-1\right) \sqrt{\text{csch}(2 \log (c x))}","\frac{1}{3} \left(c^4-\frac{1}{x^4}\right) \sqrt{\text{csch}(2 \log (c x))}-\frac{1}{3} c^5 x \sqrt{1-\frac{1}{c^4 x^4}} F\left(\left.\csc ^{-1}(c x)\right|-1\right) \sqrt{\text{csch}(2 \log (c x))}",1,"((c^4 - x^(-4))*Sqrt[Csch[2*Log[c*x]]])/3 - (c^5*Sqrt[1 - 1/(c^4*x^4)]*x*Sqrt[Csch[2*Log[c*x]]]*EllipticF[ArcCsc[c*x], -1])/3","A",5,5,15,0.3333,1,"{5552, 5550, 335, 321, 221}"
143,1,128,0,0.0799591,"\int \frac{x^8}{\text{csch}^{\frac{3}{2}}(2 \log (c x))} \, dx","Int[x^8/Csch[2*Log[c*x]]^(3/2),x]","-\frac{x^5}{16 \left(c^4-\frac{1}{x^4}\right) \text{csch}^{\frac{3}{2}}(2 \log (c x))}+\frac{x}{32 c^4 \left(c^4-\frac{1}{x^4}\right) \text{csch}^{\frac{3}{2}}(2 \log (c x))}+\frac{\tanh ^{-1}\left(\sqrt{1-\frac{1}{c^4 x^4}}\right)}{32 c^{12} x^3 \left(1-\frac{1}{c^4 x^4}\right)^{3/2} \text{csch}^{\frac{3}{2}}(2 \log (c x))}+\frac{x^9}{12 \text{csch}^{\frac{3}{2}}(2 \log (c x))}","-\frac{x^5}{16 \left(c^4-\frac{1}{x^4}\right) \text{csch}^{\frac{3}{2}}(2 \log (c x))}+\frac{x}{32 c^4 \left(c^4-\frac{1}{x^4}\right) \text{csch}^{\frac{3}{2}}(2 \log (c x))}+\frac{\tanh ^{-1}\left(\sqrt{1-\frac{1}{c^4 x^4}}\right)}{32 c^{12} x^3 \left(1-\frac{1}{c^4 x^4}\right)^{3/2} \text{csch}^{\frac{3}{2}}(2 \log (c x))}+\frac{x^9}{12 \text{csch}^{\frac{3}{2}}(2 \log (c x))}",1,"x/(32*c^4*(c^4 - x^(-4))*Csch[2*Log[c*x]]^(3/2)) - x^5/(16*(c^4 - x^(-4))*Csch[2*Log[c*x]]^(3/2)) + x^9/(12*Csch[2*Log[c*x]]^(3/2)) + ArcTanh[Sqrt[1 - 1/(c^4*x^4)]]/(32*c^12*(1 - 1/(c^4*x^4))^(3/2)*x^3*Csch[2*Log[c*x]]^(3/2))","A",8,7,15,0.4667,1,"{5552, 5550, 266, 47, 51, 63, 206}"
144,1,118,0,0.077669,"\int \frac{x^7}{\text{csch}^{\frac{3}{2}}(2 \log (c x))} \, dx","Int[x^7/Csch[2*Log[c*x]]^(3/2),x]","-\frac{6 x^4}{77 \left(c^4-\frac{1}{x^4}\right) \text{csch}^{\frac{3}{2}}(2 \log (c x))}+\frac{4}{77 c^4 \left(c^4-\frac{1}{x^4}\right) \text{csch}^{\frac{3}{2}}(2 \log (c x))}-\frac{4 F\left(\left.\csc ^{-1}(c x)\right|-1\right)}{77 c^{11} x^3 \left(1-\frac{1}{c^4 x^4}\right)^{3/2} \text{csch}^{\frac{3}{2}}(2 \log (c x))}+\frac{x^8}{11 \text{csch}^{\frac{3}{2}}(2 \log (c x))}","-\frac{6 x^4}{77 \left(c^4-\frac{1}{x^4}\right) \text{csch}^{\frac{3}{2}}(2 \log (c x))}+\frac{4}{77 c^4 \left(c^4-\frac{1}{x^4}\right) \text{csch}^{\frac{3}{2}}(2 \log (c x))}-\frac{4 F\left(\left.\csc ^{-1}(c x)\right|-1\right)}{77 c^{11} x^3 \left(1-\frac{1}{c^4 x^4}\right)^{3/2} \text{csch}^{\frac{3}{2}}(2 \log (c x))}+\frac{x^8}{11 \text{csch}^{\frac{3}{2}}(2 \log (c x))}",1,"4/(77*c^4*(c^4 - x^(-4))*Csch[2*Log[c*x]]^(3/2)) - (6*x^4)/(77*(c^4 - x^(-4))*Csch[2*Log[c*x]]^(3/2)) + x^8/(11*Csch[2*Log[c*x]]^(3/2)) - (4*EllipticF[ArcCsc[c*x], -1])/(77*c^11*(1 - 1/(c^4*x^4))^(3/2)*x^3*Csch[2*Log[c*x]]^(3/2))","A",7,6,15,0.4000,1,"{5552, 5550, 335, 277, 325, 221}"
145,1,30,0,0.0408179,"\int \frac{x^6}{\text{csch}^{\frac{3}{2}}(2 \log (c x))} \, dx","Int[x^6/Csch[2*Log[c*x]]^(3/2),x]","\frac{x^7 \left(c^4-\frac{1}{x^4}\right)}{10 c^4 \text{csch}^{\frac{3}{2}}(2 \log (c x))}","\frac{x^7 \left(c^4-\frac{1}{x^4}\right)}{10 c^4 \text{csch}^{\frac{3}{2}}(2 \log (c x))}",1,"((c^4 - x^(-4))*x^7)/(10*c^4*Csch[2*Log[c*x]]^(3/2))","A",3,3,15,0.2000,1,"{5552, 5550, 264}"
146,1,162,0,0.0999622,"\int \frac{x^5}{\text{csch}^{\frac{3}{2}}(2 \log (c x))} \, dx","Int[x^5/Csch[2*Log[c*x]]^(3/2),x]","-\frac{2 x^2}{15 \left(c^4-\frac{1}{x^4}\right) \text{csch}^{\frac{3}{2}}(2 \log (c x))}+\frac{4}{15 c^4 x^2 \left(c^4-\frac{1}{x^4}\right) \text{csch}^{\frac{3}{2}}(2 \log (c x))}-\frac{4 F\left(\left.\csc ^{-1}(c x)\right|-1\right)}{15 c^9 x^3 \left(1-\frac{1}{c^4 x^4}\right)^{3/2} \text{csch}^{\frac{3}{2}}(2 \log (c x))}+\frac{4 E\left(\left.\csc ^{-1}(c x)\right|-1\right)}{15 c^9 x^3 \left(1-\frac{1}{c^4 x^4}\right)^{3/2} \text{csch}^{\frac{3}{2}}(2 \log (c x))}+\frac{x^6}{9 \text{csch}^{\frac{3}{2}}(2 \log (c x))}","-\frac{2 x^2}{15 \left(c^4-\frac{1}{x^4}\right) \text{csch}^{\frac{3}{2}}(2 \log (c x))}+\frac{4}{15 c^4 x^2 \left(c^4-\frac{1}{x^4}\right) \text{csch}^{\frac{3}{2}}(2 \log (c x))}-\frac{4 F\left(\left.\csc ^{-1}(c x)\right|-1\right)}{15 c^9 x^3 \left(1-\frac{1}{c^4 x^4}\right)^{3/2} \text{csch}^{\frac{3}{2}}(2 \log (c x))}+\frac{4 E\left(\left.\csc ^{-1}(c x)\right|-1\right)}{15 c^9 x^3 \left(1-\frac{1}{c^4 x^4}\right)^{3/2} \text{csch}^{\frac{3}{2}}(2 \log (c x))}+\frac{x^6}{9 \text{csch}^{\frac{3}{2}}(2 \log (c x))}",1,"4/(15*c^4*(c^4 - x^(-4))*x^2*Csch[2*Log[c*x]]^(3/2)) - (2*x^2)/(15*(c^4 - x^(-4))*Csch[2*Log[c*x]]^(3/2)) + x^6/(9*Csch[2*Log[c*x]]^(3/2)) + (4*EllipticE[ArcCsc[c*x], -1])/(15*c^9*(1 - 1/(c^4*x^4))^(3/2)*x^3*Csch[2*Log[c*x]]^(3/2)) - (4*EllipticF[ArcCsc[c*x], -1])/(15*c^9*(1 - 1/(c^4*x^4))^(3/2)*x^3*Csch[2*Log[c*x]]^(3/2))","A",10,9,15,0.6000,1,"{5552, 5550, 335, 277, 325, 307, 221, 1181, 424}"
147,1,96,0,0.0673089,"\int \frac{x^4}{\text{csch}^{\frac{3}{2}}(2 \log (c x))} \, dx","Int[x^4/Csch[2*Log[c*x]]^(3/2),x]","-\frac{3 x}{16 \left(c^4-\frac{1}{x^4}\right) \text{csch}^{\frac{3}{2}}(2 \log (c x))}+\frac{3 \tanh ^{-1}\left(\sqrt{1-\frac{1}{c^4 x^4}}\right)}{16 c^8 x^3 \left(1-\frac{1}{c^4 x^4}\right)^{3/2} \text{csch}^{\frac{3}{2}}(2 \log (c x))}+\frac{x^5}{8 \text{csch}^{\frac{3}{2}}(2 \log (c x))}","-\frac{3 x}{16 \left(c^4-\frac{1}{x^4}\right) \text{csch}^{\frac{3}{2}}(2 \log (c x))}+\frac{3 \tanh ^{-1}\left(\sqrt{1-\frac{1}{c^4 x^4}}\right)}{16 c^8 x^3 \left(1-\frac{1}{c^4 x^4}\right)^{3/2} \text{csch}^{\frac{3}{2}}(2 \log (c x))}+\frac{x^5}{8 \text{csch}^{\frac{3}{2}}(2 \log (c x))}",1,"(-3*x)/(16*(c^4 - x^(-4))*Csch[2*Log[c*x]]^(3/2)) + x^5/(8*Csch[2*Log[c*x]]^(3/2)) + (3*ArcTanh[Sqrt[1 - 1/(c^4*x^4)]])/(16*c^8*(1 - 1/(c^4*x^4))^(3/2)*x^3*Csch[2*Log[c*x]]^(3/2))","A",7,6,15,0.4000,1,"{5552, 5550, 266, 47, 63, 206}"
148,1,86,0,0.0633788,"\int \frac{x^3}{\text{csch}^{\frac{3}{2}}(2 \log (c x))} \, dx","Int[x^3/Csch[2*Log[c*x]]^(3/2),x]","-\frac{2}{7 \left(c^4-\frac{1}{x^4}\right) \text{csch}^{\frac{3}{2}}(2 \log (c x))}-\frac{4 F\left(\left.\csc ^{-1}(c x)\right|-1\right)}{7 c^7 x^3 \left(1-\frac{1}{c^4 x^4}\right)^{3/2} \text{csch}^{\frac{3}{2}}(2 \log (c x))}+\frac{x^4}{7 \text{csch}^{\frac{3}{2}}(2 \log (c x))}","-\frac{2}{7 \left(c^4-\frac{1}{x^4}\right) \text{csch}^{\frac{3}{2}}(2 \log (c x))}-\frac{4 F\left(\left.\csc ^{-1}(c x)\right|-1\right)}{7 c^7 x^3 \left(1-\frac{1}{c^4 x^4}\right)^{3/2} \text{csch}^{\frac{3}{2}}(2 \log (c x))}+\frac{x^4}{7 \text{csch}^{\frac{3}{2}}(2 \log (c x))}",1,"-2/(7*(c^4 - x^(-4))*Csch[2*Log[c*x]]^(3/2)) + x^4/(7*Csch[2*Log[c*x]]^(3/2)) - (4*EllipticF[ArcCsc[c*x], -1])/(7*c^7*(1 - 1/(c^4*x^4))^(3/2)*x^3*Csch[2*Log[c*x]]^(3/2))","A",6,5,15,0.3333,1,"{5552, 5550, 335, 277, 221}"
149,1,91,0,0.072699,"\int \frac{x^2}{\text{csch}^{\frac{3}{2}}(2 \log (c x))} \, dx","Int[x^2/Csch[2*Log[c*x]]^(3/2),x]","-\frac{1}{2 x \left(c^4-\frac{1}{x^4}\right) \text{csch}^{\frac{3}{2}}(2 \log (c x))}-\frac{\csc ^{-1}\left(c^2 x^2\right)}{2 c^6 x^3 \left(1-\frac{1}{c^4 x^4}\right)^{3/2} \text{csch}^{\frac{3}{2}}(2 \log (c x))}+\frac{x^3}{6 \text{csch}^{\frac{3}{2}}(2 \log (c x))}","-\frac{1}{2 x \left(c^4-\frac{1}{x^4}\right) \text{csch}^{\frac{3}{2}}(2 \log (c x))}-\frac{\csc ^{-1}\left(c^2 x^2\right)}{2 c^6 x^3 \left(1-\frac{1}{c^4 x^4}\right)^{3/2} \text{csch}^{\frac{3}{2}}(2 \log (c x))}+\frac{x^3}{6 \text{csch}^{\frac{3}{2}}(2 \log (c x))}",1,"-1/(2*(c^4 - x^(-4))*x*Csch[2*Log[c*x]]^(3/2)) + x^3/(6*Csch[2*Log[c*x]]^(3/2)) - ArcCsc[c^2*x^2]/(2*c^6*(1 - 1/(c^4*x^4))^(3/2)*x^3*Csch[2*Log[c*x]]^(3/2))","A",7,6,15,0.4000,1,"{5552, 5550, 335, 275, 277, 216}"
150,1,130,0,0.0732644,"\int \frac{x}{\text{csch}^{\frac{3}{2}}(2 \log (c x))} \, dx","Int[x/Csch[2*Log[c*x]]^(3/2),x]","-\frac{6}{5 x^2 \left(c^4-\frac{1}{x^4}\right) \text{csch}^{\frac{3}{2}}(2 \log (c x))}+\frac{12 F\left(\left.\csc ^{-1}(c x)\right|-1\right)}{5 c^5 x^3 \left(1-\frac{1}{c^4 x^4}\right)^{3/2} \text{csch}^{\frac{3}{2}}(2 \log (c x))}-\frac{12 E\left(\left.\csc ^{-1}(c x)\right|-1\right)}{5 c^5 x^3 \left(1-\frac{1}{c^4 x^4}\right)^{3/2} \text{csch}^{\frac{3}{2}}(2 \log (c x))}+\frac{x^2}{5 \text{csch}^{\frac{3}{2}}(2 \log (c x))}","-\frac{6}{5 x^2 \left(c^4-\frac{1}{x^4}\right) \text{csch}^{\frac{3}{2}}(2 \log (c x))}+\frac{12 F\left(\left.\csc ^{-1}(c x)\right|-1\right)}{5 c^5 x^3 \left(1-\frac{1}{c^4 x^4}\right)^{3/2} \text{csch}^{\frac{3}{2}}(2 \log (c x))}-\frac{12 E\left(\left.\csc ^{-1}(c x)\right|-1\right)}{5 c^5 x^3 \left(1-\frac{1}{c^4 x^4}\right)^{3/2} \text{csch}^{\frac{3}{2}}(2 \log (c x))}+\frac{x^2}{5 \text{csch}^{\frac{3}{2}}(2 \log (c x))}",1,"-6/(5*(c^4 - x^(-4))*x^2*Csch[2*Log[c*x]]^(3/2)) + x^2/(5*Csch[2*Log[c*x]]^(3/2)) - (12*EllipticE[ArcCsc[c*x], -1])/(5*c^5*(1 - 1/(c^4*x^4))^(3/2)*x^3*Csch[2*Log[c*x]]^(3/2)) + (12*EllipticF[ArcCsc[c*x], -1])/(5*c^5*(1 - 1/(c^4*x^4))^(3/2)*x^3*Csch[2*Log[c*x]]^(3/2))","A",9,8,13,0.6154,1,"{5552, 5550, 335, 277, 307, 221, 1181, 424}"
151,1,96,0,0.0464677,"\int \frac{1}{\text{csch}^{\frac{3}{2}}(2 \log (c x))} \, dx","Int[Csch[2*Log[c*x]]^(-3/2),x]","\frac{3}{4 x^3 \left(c^4-\frac{1}{x^4}\right) \text{csch}^{\frac{3}{2}}(2 \log (c x))}-\frac{3 \tanh ^{-1}\left(\sqrt{1-\frac{1}{c^4 x^4}}\right)}{4 c^4 x^3 \left(1-\frac{1}{c^4 x^4}\right)^{3/2} \text{csch}^{\frac{3}{2}}(2 \log (c x))}+\frac{x}{4 \text{csch}^{\frac{3}{2}}(2 \log (c x))}","\frac{3}{4 x^3 \left(c^4-\frac{1}{x^4}\right) \text{csch}^{\frac{3}{2}}(2 \log (c x))}-\frac{3 \tanh ^{-1}\left(\sqrt{1-\frac{1}{c^4 x^4}}\right)}{4 c^4 x^3 \left(1-\frac{1}{c^4 x^4}\right)^{3/2} \text{csch}^{\frac{3}{2}}(2 \log (c x))}+\frac{x}{4 \text{csch}^{\frac{3}{2}}(2 \log (c x))}",1,"3/(4*(c^4 - x^(-4))*x^3*Csch[2*Log[c*x]]^(3/2)) + x/(4*Csch[2*Log[c*x]]^(3/2)) - (3*ArcTanh[Sqrt[1 - 1/(c^4*x^4)]])/(4*c^4*(1 - 1/(c^4*x^4))^(3/2)*x^3*Csch[2*Log[c*x]]^(3/2))","A",7,7,11,0.6364,1,"{5546, 5544, 266, 47, 50, 63, 206}"
152,1,67,0,0.0372023,"\int \frac{\text{csch}^{\frac{3}{2}}(2 \log (c x))}{x} \, dx","Int[Csch[2*Log[c*x]]^(3/2)/x,x]","-\cosh (2 \log (c x)) \sqrt{\text{csch}(2 \log (c x))}+\frac{i E\left(\left.\frac{\pi }{4}-i \log (c x)\right|2\right)}{\sqrt{i \sinh (2 \log (c x))} \sqrt{\text{csch}(2 \log (c x))}}","-\cosh (2 \log (c x)) \sqrt{\text{csch}(2 \log (c x))}+\frac{i E\left(\left.\frac{\pi }{4}-i \log (c x)\right|2\right)}{\sqrt{i \sinh (2 \log (c x))} \sqrt{\text{csch}(2 \log (c x))}}",1,"-(Cosh[2*Log[c*x]]*Sqrt[Csch[2*Log[c*x]]]) + (I*EllipticE[Pi/4 - I*Log[c*x], 2])/(Sqrt[Csch[2*Log[c*x]]]*Sqrt[I*Sinh[2*Log[c*x]]])","A",4,3,15,0.2000,1,"{3768, 3771, 2639}"
153,1,27,0,0.039279,"\int \frac{\text{csch}^{\frac{3}{2}}(2 \log (c x))}{x^2} \, dx","Int[Csch[2*Log[c*x]]^(3/2)/x^2,x]","-\frac{1}{2} x^3 \left(c^4-\frac{1}{x^4}\right) \text{csch}^{\frac{3}{2}}(2 \log (c x))","-\frac{1}{2} x^3 \left(c^4-\frac{1}{x^4}\right) \text{csch}^{\frac{3}{2}}(2 \log (c x))",1,"-((c^4 - x^(-4))*x^3*Csch[2*Log[c*x]]^(3/2))/2","A",3,3,15,0.2000,1,"{5552, 5550, 261}"
154,1,69,0,0.0539875,"\int \frac{\text{csch}^{\frac{3}{2}}(2 \log (c x))}{x^3} \, dx","Int[Csch[2*Log[c*x]]^(3/2)/x^3,x]","\frac{1}{2} c^5 x^3 \left(1-\frac{1}{c^4 x^4}\right)^{3/2} F\left(\left.\csc ^{-1}(c x)\right|-1\right) \text{csch}^{\frac{3}{2}}(2 \log (c x))-\frac{1}{2} x^2 \left(c^4-\frac{1}{x^4}\right) \text{csch}^{\frac{3}{2}}(2 \log (c x))","\frac{1}{2} c^5 x^3 \left(1-\frac{1}{c^4 x^4}\right)^{3/2} F\left(\left.\csc ^{-1}(c x)\right|-1\right) \text{csch}^{\frac{3}{2}}(2 \log (c x))-\frac{1}{2} x^2 \left(c^4-\frac{1}{x^4}\right) \text{csch}^{\frac{3}{2}}(2 \log (c x))",1,"-((c^4 - x^(-4))*x^2*Csch[2*Log[c*x]]^(3/2))/2 + (c^5*(1 - 1/(c^4*x^4))^(3/2)*x^3*Csch[2*Log[c*x]]^(3/2)*EllipticF[ArcCsc[c*x], -1])/2","A",5,5,15,0.3333,1,"{5552, 5550, 335, 288, 221}"
155,1,69,0,0.0606238,"\int \frac{\text{csch}^{\frac{3}{2}}(2 \log (c x))}{x^4} \, dx","Int[Csch[2*Log[c*x]]^(3/2)/x^4,x]","\frac{1}{2} c^6 x^3 \left(1-\frac{1}{c^4 x^4}\right)^{3/2} \csc ^{-1}\left(c^2 x^2\right) \text{csch}^{\frac{3}{2}}(2 \log (c x))-\frac{1}{2} x \left(c^4-\frac{1}{x^4}\right) \text{csch}^{\frac{3}{2}}(2 \log (c x))","\frac{1}{2} c^6 x^3 \left(1-\frac{1}{c^4 x^4}\right)^{3/2} \csc ^{-1}\left(c^2 x^2\right) \text{csch}^{\frac{3}{2}}(2 \log (c x))-\frac{1}{2} x \left(c^4-\frac{1}{x^4}\right) \text{csch}^{\frac{3}{2}}(2 \log (c x))",1,"-((c^4 - x^(-4))*x*Csch[2*Log[c*x]]^(3/2))/2 + (c^6*(1 - 1/(c^4*x^4))^(3/2)*x^3*ArcCsc[c^2*x^2]*Csch[2*Log[c*x]]^(3/2))/2","A",6,6,15,0.4000,1,"{5552, 5550, 335, 275, 288, 216}"
156,1,62,0,0.0547365,"\int \text{csch}\left(a+b \log \left(c x^n\right)\right) \, dx","Int[Csch[a + b*Log[c*x^n]],x]","-\frac{2 e^a x \left(c x^n\right)^b \, _2F_1\left(1,\frac{b+\frac{1}{n}}{2 b};\frac{1}{2} \left(3+\frac{1}{b n}\right);e^{2 a} \left(c x^n\right)^{2 b}\right)}{b n+1}","-\frac{2 e^a x \left(c x^n\right)^b \, _2F_1\left(1,\frac{b+\frac{1}{n}}{2 b};\frac{1}{2} \left(3+\frac{1}{b n}\right);e^{2 a} \left(c x^n\right)^{2 b}\right)}{b n+1}",1,"(-2*E^a*x*(c*x^n)^b*Hypergeometric2F1[1, (b + n^(-1))/(2*b), (3 + 1/(b*n))/2, E^(2*a)*(c*x^n)^(2*b)])/(1 + b*n)","A",4,4,11,0.3636,1,"{5546, 5548, 263, 364}"
157,1,68,0,0.0653747,"\int \text{csch}^2\left(a+b \log \left(c x^n\right)\right) \, dx","Int[Csch[a + b*Log[c*x^n]]^2,x]","\frac{4 e^{2 a} x \left(c x^n\right)^{2 b} \, _2F_1\left(2,\frac{1}{2} \left(2+\frac{1}{b n}\right);\frac{1}{2} \left(4+\frac{1}{b n}\right);e^{2 a} \left(c x^n\right)^{2 b}\right)}{2 b n+1}","\frac{4 e^{2 a} x \left(c x^n\right)^{2 b} \, _2F_1\left(2,\frac{1}{2} \left(2+\frac{1}{b n}\right);\frac{1}{2} \left(4+\frac{1}{b n}\right);e^{2 a} \left(c x^n\right)^{2 b}\right)}{2 b n+1}",1,"(4*E^(2*a)*x*(c*x^n)^(2*b)*Hypergeometric2F1[2, (2 + 1/(b*n))/2, (4 + 1/(b*n))/2, E^(2*a)*(c*x^n)^(2*b)])/(1 + 2*b*n)","A",4,4,13,0.3077,1,"{5546, 5548, 263, 364}"
158,1,69,0,0.0694034,"\int \text{csch}^3\left(a+b \log \left(c x^n\right)\right) \, dx","Int[Csch[a + b*Log[c*x^n]]^3,x]","-\frac{8 e^{3 a} x \left(c x^n\right)^{3 b} \, _2F_1\left(3,\frac{3 b+\frac{1}{n}}{2 b};\frac{1}{2} \left(5+\frac{1}{b n}\right);e^{2 a} \left(c x^n\right)^{2 b}\right)}{3 b n+1}","-\frac{8 e^{3 a} x \left(c x^n\right)^{3 b} \, _2F_1\left(3,\frac{3 b+\frac{1}{n}}{2 b};\frac{1}{2} \left(5+\frac{1}{b n}\right);e^{2 a} \left(c x^n\right)^{2 b}\right)}{3 b n+1}",1,"(-8*E^(3*a)*x*(c*x^n)^(3*b)*Hypergeometric2F1[3, (3*b + n^(-1))/(2*b), (5 + 1/(b*n))/2, E^(2*a)*(c*x^n)^(2*b)])/(1 + 3*b*n)","A",4,4,13,0.3077,1,"{5546, 5548, 263, 364}"
159,1,68,0,0.0688398,"\int \text{csch}^4\left(a+b \log \left(c x^n\right)\right) \, dx","Int[Csch[a + b*Log[c*x^n]]^4,x]","\frac{16 e^{4 a} x \left(c x^n\right)^{4 b} \, _2F_1\left(4,\frac{1}{2} \left(4+\frac{1}{b n}\right);\frac{1}{2} \left(6+\frac{1}{b n}\right);e^{2 a} \left(c x^n\right)^{2 b}\right)}{4 b n+1}","\frac{16 e^{4 a} x \left(c x^n\right)^{4 b} \, _2F_1\left(4,\frac{1}{2} \left(4+\frac{1}{b n}\right);\frac{1}{2} \left(6+\frac{1}{b n}\right);e^{2 a} \left(c x^n\right)^{2 b}\right)}{4 b n+1}",1,"(16*E^(4*a)*x*(c*x^n)^(4*b)*Hypergeometric2F1[4, (4 + 1/(b*n))/2, (6 + 1/(b*n))/2, E^(2*a)*(c*x^n)^(2*b)])/(1 + 4*b*n)","A",4,4,13,0.3077,1,"{5546, 5548, 263, 364}"
160,1,137,0,0.1351589,"\int \left(-\left(1-b^2 n^2\right) \text{csch}\left(a+b \log \left(c x^n\right)\right)+2 b^2 n^2 \text{csch}^3\left(a+b \log \left(c x^n\right)\right)\right) \, dx","Int[-((1 - b^2*n^2)*Csch[a + b*Log[c*x^n]]) + 2*b^2*n^2*Csch[a + b*Log[c*x^n]]^3,x]","2 e^a x (1-b n) \left(c x^n\right)^b \, _2F_1\left(1,\frac{b+\frac{1}{n}}{2 b};\frac{1}{2} \left(3+\frac{1}{b n}\right);e^{2 a} \left(c x^n\right)^{2 b}\right)-\frac{16 e^{3 a} b^2 n^2 x \left(c x^n\right)^{3 b} \, _2F_1\left(3,\frac{3 b+\frac{1}{n}}{2 b};\frac{1}{2} \left(5+\frac{1}{b n}\right);e^{2 a} \left(c x^n\right)^{2 b}\right)}{3 b n+1}","-x \text{csch}\left(a+b \log \left(c x^n\right)\right)-b n x \coth \left(a+b \log \left(c x^n\right)\right) \text{csch}\left(a+b \log \left(c x^n\right)\right)",1,"2*E^a*(1 - b*n)*x*(c*x^n)^b*Hypergeometric2F1[1, (b + n^(-1))/(2*b), (3 + 1/(b*n))/2, E^(2*a)*(c*x^n)^(2*b)] - (16*b^2*E^(3*a)*n^2*x*(c*x^n)^(3*b)*Hypergeometric2F1[3, (3*b + n^(-1))/(2*b), (5 + 1/(b*n))/2, E^(2*a)*(c*x^n)^(2*b)])/(1 + 3*b*n)","C",9,4,45,0.08889,0,"{5546, 5548, 263, 364}"
161,1,26,0,0.0386493,"\int \text{csch}^3\left(a+2 \log \left(c \sqrt{x}\right)\right) \, dx","Int[Csch[a + 2*Log[c*Sqrt[x]]]^3,x]","-\frac{2 e^{-a} c^6}{\left(c^4-\frac{e^{-2 a}}{x^2}\right)^2}","-\frac{2 e^{-a} c^6}{\left(c^4-\frac{e^{-2 a}}{x^2}\right)^2}",1,"(-2*c^6)/(E^a*(c^4 - 1/(E^(2*a)*x^2))^2)","A",3,3,15,0.2000,1,"{5546, 5548, 261}"
162,1,26,0,0.0460046,"\int \text{csch}^3\left(a+2 \log \left(\frac{c}{\sqrt{x}}\right)\right) \, dx","Int[Csch[a + 2*Log[c/Sqrt[x]]]^3,x]","\frac{2 e^{-3 a} c^2}{\left(e^{-2 a}-\frac{c^4}{x^2}\right)^2}","\frac{2 e^{-3 a} c^2}{\left(e^{-2 a}-\frac{c^4}{x^2}\right)^2}",1,"(2*c^2)/(E^(3*a)*(E^(-2*a) - c^4/x^2)^2)","A",4,4,15,0.2667,1,"{5546, 5548, 263, 261}"
163,1,90,0,0.0872534,"\int \text{csch}^p\left(a+\frac{\log \left(c x^n\right)}{n (-2+p)}\right) \, dx","Int[Csch[a + Log[c*x^n]/(n*(-2 + p))]^p,x]","-\frac{e^{2 a} (2-p) x \left(c x^n\right)^{-\frac{2}{n (2-p)}} \left(1-e^{-2 a} \left(c x^n\right)^{\frac{2}{n (2-p)}}\right) \text{csch}^p\left(a-\frac{\log \left(c x^n\right)}{n (2-p)}\right)}{2 (1-p)}","-\frac{e^{2 a} (2-p) x \left(c x^n\right)^{-\frac{2}{n (2-p)}} \left(1-e^{-2 a} \left(c x^n\right)^{\frac{2}{n (2-p)}}\right) \text{csch}^p\left(a-\frac{\log \left(c x^n\right)}{n (2-p)}\right)}{2 (1-p)}",1,"-(E^(2*a)*(2 - p)*x*(1 - (c*x^n)^(2/(n*(2 - p)))/E^(2*a))*Csch[a - Log[c*x^n]/(n*(2 - p))]^p)/(2*(1 - p)*(c*x^n)^(2/(n*(2 - p))))","A",3,3,20,0.1500,1,"{5546, 5550, 261}"
164,1,66,0,0.0752071,"\int \text{csch}^p\left(a-\frac{\log \left(c x^n\right)}{n (-2+p)}\right) \, dx","Int[Csch[a - Log[c*x^n]/(n*(-2 + p))]^p,x]","\frac{(2-p) x \left(1-e^{-2 a} \left(c x^n\right)^{-\frac{2}{n (2-p)}}\right) \text{csch}^p\left(a+\frac{\log \left(c x^n\right)}{n (2-p)}\right)}{2 (1-p)}","\frac{(2-p) x \left(1-e^{-2 a} \left(c x^n\right)^{-\frac{2}{n (2-p)}}\right) \text{csch}^p\left(a+\frac{\log \left(c x^n\right)}{n (2-p)}\right)}{2 (1-p)}",1,"((2 - p)*x*(1 - 1/(E^(2*a)*(c*x^n)^(2/(n*(2 - p)))))*Csch[a + Log[c*x^n]/(n*(2 - p))]^p)/(2*(1 - p))","A",3,3,21,0.1429,1,"{5546, 5550, 264}"
165,1,20,0,0.0175591,"\int \frac{\text{csch}\left(a+b \log \left(c x^n\right)\right)}{x} \, dx","Int[Csch[a + b*Log[c*x^n]]/x,x]","-\frac{\tanh ^{-1}\left(\cosh \left(a+b \log \left(c x^n\right)\right)\right)}{b n}","-\frac{\tanh ^{-1}\left(\cosh \left(a+b \log \left(c x^n\right)\right)\right)}{b n}",1,"-(ArcTanh[Cosh[a + b*Log[c*x^n]]]/(b*n))","A",2,1,15,0.06667,1,"{3770}"
166,1,19,0,0.0271739,"\int \frac{\text{csch}^2\left(a+b \log \left(c x^n\right)\right)}{x} \, dx","Int[Csch[a + b*Log[c*x^n]]^2/x,x]","-\frac{\coth \left(a+b \log \left(c x^n\right)\right)}{b n}","-\frac{\coth \left(a+b \log \left(c x^n\right)\right)}{b n}",1,"-(Coth[a + b*Log[c*x^n]]/(b*n))","A",3,2,17,0.1176,1,"{3767, 8}"
167,1,55,0,0.0448704,"\int \frac{\text{csch}^3\left(a+b \log \left(c x^n\right)\right)}{x} \, dx","Int[Csch[a + b*Log[c*x^n]]^3/x,x]","\frac{\tanh ^{-1}\left(\cosh \left(a+b \log \left(c x^n\right)\right)\right)}{2 b n}-\frac{\coth \left(a+b \log \left(c x^n\right)\right) \text{csch}\left(a+b \log \left(c x^n\right)\right)}{2 b n}","\frac{\tanh ^{-1}\left(\cosh \left(a+b \log \left(c x^n\right)\right)\right)}{2 b n}-\frac{\coth \left(a+b \log \left(c x^n\right)\right) \text{csch}\left(a+b \log \left(c x^n\right)\right)}{2 b n}",1,"ArcTanh[Cosh[a + b*Log[c*x^n]]]/(2*b*n) - (Coth[a + b*Log[c*x^n]]*Csch[a + b*Log[c*x^n]])/(2*b*n)","A",3,2,17,0.1176,1,"{3768, 3770}"
168,1,42,0,0.0329257,"\int \frac{\text{csch}^4\left(a+b \log \left(c x^n\right)\right)}{x} \, dx","Int[Csch[a + b*Log[c*x^n]]^4/x,x]","\frac{\coth \left(a+b \log \left(c x^n\right)\right)}{b n}-\frac{\coth ^3\left(a+b \log \left(c x^n\right)\right)}{3 b n}","\frac{\coth \left(a+b \log \left(c x^n\right)\right)}{b n}-\frac{\coth ^3\left(a+b \log \left(c x^n\right)\right)}{3 b n}",1,"Coth[a + b*Log[c*x^n]]/(b*n) - Coth[a + b*Log[c*x^n]]^3/(3*b*n)","A",3,1,17,0.05882,1,"{3767}"
169,1,89,0,0.0702584,"\int \frac{\text{csch}^5\left(a+b \log \left(c x^n\right)\right)}{x} \, dx","Int[Csch[a + b*Log[c*x^n]]^5/x,x]","-\frac{3 \tanh ^{-1}\left(\cosh \left(a+b \log \left(c x^n\right)\right)\right)}{8 b n}-\frac{\coth \left(a+b \log \left(c x^n\right)\right) \text{csch}^3\left(a+b \log \left(c x^n\right)\right)}{4 b n}+\frac{3 \coth \left(a+b \log \left(c x^n\right)\right) \text{csch}\left(a+b \log \left(c x^n\right)\right)}{8 b n}","-\frac{3 \tanh ^{-1}\left(\cosh \left(a+b \log \left(c x^n\right)\right)\right)}{8 b n}-\frac{\coth \left(a+b \log \left(c x^n\right)\right) \text{csch}^3\left(a+b \log \left(c x^n\right)\right)}{4 b n}+\frac{3 \coth \left(a+b \log \left(c x^n\right)\right) \text{csch}\left(a+b \log \left(c x^n\right)\right)}{8 b n}",1,"(-3*ArcTanh[Cosh[a + b*Log[c*x^n]]])/(8*b*n) + (3*Coth[a + b*Log[c*x^n]]*Csch[a + b*Log[c*x^n]])/(8*b*n) - (Coth[a + b*Log[c*x^n]]*Csch[a + b*Log[c*x^n]]^3)/(4*b*n)","A",4,2,17,0.1176,1,"{3768, 3770}"
170,1,111,0,0.068457,"\int \frac{\text{csch}^{\frac{5}{2}}\left(a+b \log \left(c x^n\right)\right)}{x} \, dx","Int[Csch[a + b*Log[c*x^n]]^(5/2)/x,x]","-\frac{2 \cosh \left(a+b \log \left(c x^n\right)\right) \text{csch}^{\frac{3}{2}}\left(a+b \log \left(c x^n\right)\right)}{3 b n}+\frac{2 i \sqrt{i \sinh \left(a+b \log \left(c x^n\right)\right)} \sqrt{\text{csch}\left(a+b \log \left(c x^n\right)\right)} F\left(\left.\frac{1}{2} \left(i a+i b \log \left(c x^n\right)-\frac{\pi }{2}\right)\right|2\right)}{3 b n}","-\frac{2 \cosh \left(a+b \log \left(c x^n\right)\right) \text{csch}^{\frac{3}{2}}\left(a+b \log \left(c x^n\right)\right)}{3 b n}+\frac{2 i \sqrt{i \sinh \left(a+b \log \left(c x^n\right)\right)} \sqrt{\text{csch}\left(a+b \log \left(c x^n\right)\right)} F\left(\left.\frac{1}{2} \left(i a+i b \log \left(c x^n\right)-\frac{\pi }{2}\right)\right|2\right)}{3 b n}",1,"(-2*Cosh[a + b*Log[c*x^n]]*Csch[a + b*Log[c*x^n]]^(3/2))/(3*b*n) + (((2*I)/3)*Sqrt[Csch[a + b*Log[c*x^n]]]*EllipticF[(I*a - Pi/2 + I*b*Log[c*x^n])/2, 2]*Sqrt[I*Sinh[a + b*Log[c*x^n]]])/(b*n)","A",4,3,19,0.1579,1,"{3768, 3771, 2641}"
171,1,107,0,0.062964,"\int \frac{\text{csch}^{\frac{3}{2}}\left(a+b \log \left(c x^n\right)\right)}{x} \, dx","Int[Csch[a + b*Log[c*x^n]]^(3/2)/x,x]","-\frac{2 \cosh \left(a+b \log \left(c x^n\right)\right) \sqrt{\text{csch}\left(a+b \log \left(c x^n\right)\right)}}{b n}-\frac{2 i E\left(\left.\frac{1}{2} \left(i a+i b \log \left(c x^n\right)-\frac{\pi }{2}\right)\right|2\right)}{b n \sqrt{i \sinh \left(a+b \log \left(c x^n\right)\right)} \sqrt{\text{csch}\left(a+b \log \left(c x^n\right)\right)}}","-\frac{2 \cosh \left(a+b \log \left(c x^n\right)\right) \sqrt{\text{csch}\left(a+b \log \left(c x^n\right)\right)}}{b n}-\frac{2 i E\left(\left.\frac{1}{2} \left(i a+i b \log \left(c x^n\right)-\frac{\pi }{2}\right)\right|2\right)}{b n \sqrt{i \sinh \left(a+b \log \left(c x^n\right)\right)} \sqrt{\text{csch}\left(a+b \log \left(c x^n\right)\right)}}",1,"(-2*Cosh[a + b*Log[c*x^n]]*Sqrt[Csch[a + b*Log[c*x^n]]])/(b*n) - ((2*I)*EllipticE[(I*a - Pi/2 + I*b*Log[c*x^n])/2, 2])/(b*n*Sqrt[Csch[a + b*Log[c*x^n]]]*Sqrt[I*Sinh[a + b*Log[c*x^n]]])","A",4,3,19,0.1579,1,"{3768, 3771, 2639}"
172,1,72,0,0.0426943,"\int \frac{\sqrt{\text{csch}\left(a+b \log \left(c x^n\right)\right)}}{x} \, dx","Int[Sqrt[Csch[a + b*Log[c*x^n]]]/x,x]","-\frac{2 i \sqrt{i \sinh \left(a+b \log \left(c x^n\right)\right)} \sqrt{\text{csch}\left(a+b \log \left(c x^n\right)\right)} F\left(\left.\frac{1}{2} \left(i a+i b \log \left(c x^n\right)-\frac{\pi }{2}\right)\right|2\right)}{b n}","-\frac{2 i \sqrt{i \sinh \left(a+b \log \left(c x^n\right)\right)} \sqrt{\text{csch}\left(a+b \log \left(c x^n\right)\right)} F\left(\left.\frac{1}{2} \left(i a+i b \log \left(c x^n\right)-\frac{\pi }{2}\right)\right|2\right)}{b n}",1,"((-2*I)*Sqrt[Csch[a + b*Log[c*x^n]]]*EllipticF[(I*a - Pi/2 + I*b*Log[c*x^n])/2, 2]*Sqrt[I*Sinh[a + b*Log[c*x^n]]])/(b*n)","A",3,2,19,0.1053,1,"{3771, 2641}"
173,1,72,0,0.0444987,"\int \frac{1}{x \sqrt{\text{csch}\left(a+b \log \left(c x^n\right)\right)}} \, dx","Int[1/(x*Sqrt[Csch[a + b*Log[c*x^n]]]),x]","-\frac{2 i E\left(\left.\frac{1}{2} \left(i a+i b \log \left(c x^n\right)-\frac{\pi }{2}\right)\right|2\right)}{b n \sqrt{i \sinh \left(a+b \log \left(c x^n\right)\right)} \sqrt{\text{csch}\left(a+b \log \left(c x^n\right)\right)}}","-\frac{2 i E\left(\left.\frac{1}{2} \left(i a+i b \log \left(c x^n\right)-\frac{\pi }{2}\right)\right|2\right)}{b n \sqrt{i \sinh \left(a+b \log \left(c x^n\right)\right)} \sqrt{\text{csch}\left(a+b \log \left(c x^n\right)\right)}}",1,"((-2*I)*EllipticE[(I*a - Pi/2 + I*b*Log[c*x^n])/2, 2])/(b*n*Sqrt[Csch[a + b*Log[c*x^n]]]*Sqrt[I*Sinh[a + b*Log[c*x^n]]])","A",3,2,19,0.1053,1,"{3771, 2639}"
174,1,111,0,0.0601368,"\int \frac{1}{x \text{csch}^{\frac{3}{2}}\left(a+b \log \left(c x^n\right)\right)} \, dx","Int[1/(x*Csch[a + b*Log[c*x^n]]^(3/2)),x]","\frac{2 \cosh \left(a+b \log \left(c x^n\right)\right)}{3 b n \sqrt{\text{csch}\left(a+b \log \left(c x^n\right)\right)}}+\frac{2 i \sqrt{i \sinh \left(a+b \log \left(c x^n\right)\right)} \sqrt{\text{csch}\left(a+b \log \left(c x^n\right)\right)} F\left(\left.\frac{1}{2} \left(i a+i b \log \left(c x^n\right)-\frac{\pi }{2}\right)\right|2\right)}{3 b n}","\frac{2 \cosh \left(a+b \log \left(c x^n\right)\right)}{3 b n \sqrt{\text{csch}\left(a+b \log \left(c x^n\right)\right)}}+\frac{2 i \sqrt{i \sinh \left(a+b \log \left(c x^n\right)\right)} \sqrt{\text{csch}\left(a+b \log \left(c x^n\right)\right)} F\left(\left.\frac{1}{2} \left(i a+i b \log \left(c x^n\right)-\frac{\pi }{2}\right)\right|2\right)}{3 b n}",1,"(2*Cosh[a + b*Log[c*x^n]])/(3*b*n*Sqrt[Csch[a + b*Log[c*x^n]]]) + (((2*I)/3)*Sqrt[Csch[a + b*Log[c*x^n]]]*EllipticF[(I*a - Pi/2 + I*b*Log[c*x^n])/2, 2]*Sqrt[I*Sinh[a + b*Log[c*x^n]]])/(b*n)","A",4,3,19,0.1579,1,"{3769, 3771, 2641}"
175,1,111,0,0.0606222,"\int \frac{1}{x \text{csch}^{\frac{5}{2}}\left(a+b \log \left(c x^n\right)\right)} \, dx","Int[1/(x*Csch[a + b*Log[c*x^n]]^(5/2)),x]","\frac{2 \cosh \left(a+b \log \left(c x^n\right)\right)}{5 b n \text{csch}^{\frac{3}{2}}\left(a+b \log \left(c x^n\right)\right)}+\frac{6 i E\left(\left.\frac{1}{2} \left(i a+i b \log \left(c x^n\right)-\frac{\pi }{2}\right)\right|2\right)}{5 b n \sqrt{i \sinh \left(a+b \log \left(c x^n\right)\right)} \sqrt{\text{csch}\left(a+b \log \left(c x^n\right)\right)}}","\frac{2 \cosh \left(a+b \log \left(c x^n\right)\right)}{5 b n \text{csch}^{\frac{3}{2}}\left(a+b \log \left(c x^n\right)\right)}+\frac{6 i E\left(\left.\frac{1}{2} \left(i a+i b \log \left(c x^n\right)-\frac{\pi }{2}\right)\right|2\right)}{5 b n \sqrt{i \sinh \left(a+b \log \left(c x^n\right)\right)} \sqrt{\text{csch}\left(a+b \log \left(c x^n\right)\right)}}",1,"(2*Cosh[a + b*Log[c*x^n]])/(5*b*n*Csch[a + b*Log[c*x^n]]^(3/2)) + (((6*I)/5)*EllipticE[(I*a - Pi/2 + I*b*Log[c*x^n])/2, 2])/(b*n*Sqrt[Csch[a + b*Log[c*x^n]]]*Sqrt[I*Sinh[a + b*Log[c*x^n]]])","A",4,3,19,0.1579,1,"{3769, 3771, 2639}"