1,1,114,0,0.0738219,"\int \left(a+b \text{csch}^2(c+d x)\right)^4 \, dx","Int[(a + b*Csch[c + d*x]^2)^4,x]","-\frac{b^2 \left(6 a^2-8 a b+3 b^2\right) \coth ^3(c+d x)}{3 d}-\frac{b (2 a-b) \left(2 a^2-2 a b+b^2\right) \coth (c+d x)}{d}+a^4 x-\frac{b^3 (4 a-3 b) \coth ^5(c+d x)}{5 d}-\frac{b^4 \coth ^7(c+d x)}{7 d}","-\frac{b^2 \left(6 a^2-8 a b+3 b^2\right) \coth ^3(c+d x)}{3 d}-\frac{b (2 a-b) \left(2 a^2-2 a b+b^2\right) \coth (c+d x)}{d}+a^4 x-\frac{b^3 (4 a-3 b) \coth ^5(c+d x)}{5 d}-\frac{b^4 \coth ^7(c+d x)}{7 d}",1,"a^4*x - ((2*a - b)*b*(2*a^2 - 2*a*b + b^2)*Coth[c + d*x])/d - (b^2*(6*a^2 - 8*a*b + 3*b^2)*Coth[c + d*x]^3)/(3*d) - ((4*a - 3*b)*b^3*Coth[c + d*x]^5)/(5*d) - (b^4*Coth[c + d*x]^7)/(7*d)","A",4,3,14,0.2143,1,"{4128, 390, 206}"
2,1,74,0,0.047714,"\int \left(a+b \text{csch}^2(c+d x)\right)^3 \, dx","Int[(a + b*Csch[c + d*x]^2)^3,x]","-\frac{b \left(3 a^2-3 a b+b^2\right) \coth (c+d x)}{d}+a^3 x-\frac{b^2 (3 a-2 b) \coth ^3(c+d x)}{3 d}-\frac{b^3 \coth ^5(c+d x)}{5 d}","-\frac{b \left(3 a^2-3 a b+b^2\right) \coth (c+d x)}{d}+a^3 x-\frac{b^2 (3 a-2 b) \coth ^3(c+d x)}{3 d}-\frac{b^3 \coth ^5(c+d x)}{5 d}",1,"a^3*x - (b*(3*a^2 - 3*a*b + b^2)*Coth[c + d*x])/d - ((3*a - 2*b)*b^2*Coth[c + d*x]^3)/(3*d) - (b^3*Coth[c + d*x]^5)/(5*d)","A",4,3,14,0.2143,1,"{4128, 390, 206}"
3,1,43,0,0.0324473,"\int \left(a+b \text{csch}^2(c+d x)\right)^2 \, dx","Int[(a + b*Csch[c + d*x]^2)^2,x]","a^2 x-\frac{b (2 a-b) \coth (c+d x)}{d}-\frac{b^2 \coth ^3(c+d x)}{3 d}","a^2 x-\frac{b (2 a-b) \coth (c+d x)}{d}-\frac{b^2 \coth ^3(c+d x)}{3 d}",1,"a^2*x - ((2*a - b)*b*Coth[c + d*x])/d - (b^2*Coth[c + d*x]^3)/(3*d)","A",4,3,14,0.2143,1,"{4128, 390, 206}"
4,1,16,0,0.0137868,"\int \left(a+b \text{csch}^2(c+d x)\right) \, dx","Int[a + b*Csch[c + d*x]^2,x]","a x-\frac{b \coth (c+d x)}{d}","a x-\frac{b \coth (c+d x)}{d}",1,"a*x - (b*Coth[c + d*x])/d","A",3,2,12,0.1667,1,"{3767, 8}"
5,1,50,0,0.0553109,"\int \frac{1}{a+b \text{csch}^2(c+d x)} \, dx","Int[(a + b*Csch[c + d*x]^2)^(-1),x]","\frac{x}{a}-\frac{\sqrt{b} \tan ^{-1}\left(\frac{\sqrt{a-b} \tanh (c+d x)}{\sqrt{b}}\right)}{a d \sqrt{a-b}}","\frac{x}{a}-\frac{\sqrt{b} \tan ^{-1}\left(\frac{\sqrt{a-b} \tanh (c+d x)}{\sqrt{b}}\right)}{a d \sqrt{a-b}}",1,"x/a - (Sqrt[b]*ArcTan[(Sqrt[a - b]*Tanh[c + d*x])/Sqrt[b]])/(a*Sqrt[a - b]*d)","A",3,3,14,0.2143,1,"{4127, 3181, 205}"
6,1,100,0,0.1265821,"\int \frac{1}{\left(a+b \text{csch}^2(c+d x)\right)^2} \, dx","Int[(a + b*Csch[c + d*x]^2)^(-2),x]","-\frac{\sqrt{b} (3 a-2 b) \tan ^{-1}\left(\frac{\sqrt{a-b} \tanh (c+d x)}{\sqrt{b}}\right)}{2 a^2 d (a-b)^{3/2}}+\frac{x}{a^2}+\frac{b \coth (c+d x)}{2 a d (a-b) \left(a+b \coth ^2(c+d x)-b\right)}","-\frac{\sqrt{b} (3 a-2 b) \tan ^{-1}\left(\frac{\sqrt{a-b} \tanh (c+d x)}{\sqrt{b}}\right)}{2 a^2 d (a-b)^{3/2}}+\frac{x}{a^2}+\frac{b \coth (c+d x)}{2 a d (a-b) \left(a+b \coth ^2(c+d x)-b\right)}",1,"x/a^2 - ((3*a - 2*b)*Sqrt[b]*ArcTan[(Sqrt[a - b]*Tanh[c + d*x])/Sqrt[b]])/(2*a^2*(a - b)^(3/2)*d) + (b*Coth[c + d*x])/(2*a*(a - b)*d*(a - b + b*Coth[c + d*x]^2))","A",5,5,14,0.3571,1,"{4128, 414, 522, 206, 205}"
7,1,156,0,0.215668,"\int \frac{1}{\left(a+b \text{csch}^2(c+d x)\right)^3} \, dx","Int[(a + b*Csch[c + d*x]^2)^(-3),x]","-\frac{\sqrt{b} \left(15 a^2-20 a b+8 b^2\right) \tan ^{-1}\left(\frac{\sqrt{a-b} \tanh (c+d x)}{\sqrt{b}}\right)}{8 a^3 d (a-b)^{5/2}}+\frac{b (7 a-4 b) \coth (c+d x)}{8 a^2 d (a-b)^2 \left(a+b \coth ^2(c+d x)-b\right)}+\frac{x}{a^3}+\frac{b \coth (c+d x)}{4 a d (a-b) \left(a+b \coth ^2(c+d x)-b\right)^2}","-\frac{\sqrt{b} \left(15 a^2-20 a b+8 b^2\right) \tan ^{-1}\left(\frac{\sqrt{a-b} \tanh (c+d x)}{\sqrt{b}}\right)}{8 a^3 d (a-b)^{5/2}}+\frac{b (7 a-4 b) \coth (c+d x)}{8 a^2 d (a-b)^2 \left(a+b \coth ^2(c+d x)-b\right)}+\frac{x}{a^3}+\frac{b \coth (c+d x)}{4 a d (a-b) \left(a+b \coth ^2(c+d x)-b\right)^2}",1,"x/a^3 - (Sqrt[b]*(15*a^2 - 20*a*b + 8*b^2)*ArcTan[(Sqrt[a - b]*Tanh[c + d*x])/Sqrt[b]])/(8*a^3*(a - b)^(5/2)*d) + (b*Coth[c + d*x])/(4*a*(a - b)*d*(a - b + b*Coth[c + d*x]^2)^2) + ((7*a - 4*b)*b*Coth[c + d*x])/(8*a^2*(a - b)^2*d*(a - b + b*Coth[c + d*x]^2))","A",6,6,14,0.4286,1,"{4128, 414, 527, 522, 206, 205}"
8,1,220,0,0.3444811,"\int \frac{1}{\left(a+b \text{csch}^2(c+d x)\right)^4} \, dx","Int[(a + b*Csch[c + d*x]^2)^(-4),x]","\frac{b \left(19 a^2-22 a b+8 b^2\right) \coth (c+d x)}{16 a^3 d (a-b)^3 \left(a+b \coth ^2(c+d x)-b\right)}-\frac{\sqrt{b} \left(-70 a^2 b+35 a^3+56 a b^2-16 b^3\right) \tan ^{-1}\left(\frac{\sqrt{a-b} \tanh (c+d x)}{\sqrt{b}}\right)}{16 a^4 d (a-b)^{7/2}}+\frac{b (11 a-6 b) \coth (c+d x)}{24 a^2 d (a-b)^2 \left(a+b \coth ^2(c+d x)-b\right)^2}+\frac{x}{a^4}+\frac{b \coth (c+d x)}{6 a d (a-b) \left(a+b \coth ^2(c+d x)-b\right)^3}","\frac{b \left(19 a^2-22 a b+8 b^2\right) \coth (c+d x)}{16 a^3 d (a-b)^3 \left(a+b \coth ^2(c+d x)-b\right)}-\frac{\sqrt{b} \left(-70 a^2 b+35 a^3+56 a b^2-16 b^3\right) \tan ^{-1}\left(\frac{\sqrt{a-b} \tanh (c+d x)}{\sqrt{b}}\right)}{16 a^4 d (a-b)^{7/2}}+\frac{b (11 a-6 b) \coth (c+d x)}{24 a^2 d (a-b)^2 \left(a+b \coth ^2(c+d x)-b\right)^2}+\frac{x}{a^4}+\frac{b \coth (c+d x)}{6 a d (a-b) \left(a+b \coth ^2(c+d x)-b\right)^3}",1,"x/a^4 - (Sqrt[b]*(35*a^3 - 70*a^2*b + 56*a*b^2 - 16*b^3)*ArcTan[(Sqrt[a - b]*Tanh[c + d*x])/Sqrt[b]])/(16*a^4*(a - b)^(7/2)*d) + (b*Coth[c + d*x])/(6*a*(a - b)*d*(a - b + b*Coth[c + d*x]^2)^3) + ((11*a - 6*b)*b*Coth[c + d*x])/(24*a^2*(a - b)^2*d*(a - b + b*Coth[c + d*x]^2)^2) + (b*(19*a^2 - 22*a*b + 8*b^2)*Coth[c + d*x])/(16*a^3*(a - b)^3*d*(a - b + b*Coth[c + d*x]^2))","A",7,6,14,0.4286,1,"{4128, 414, 527, 522, 206, 205}"
9,1,174,0,0.1884615,"\int \left(a+b \text{csch}^2(c+d x)\right)^{5/2} \, dx","Int[(a + b*Csch[c + d*x]^2)^(5/2),x]","-\frac{\sqrt{b} \left(15 a^2-10 a b+3 b^2\right) \tanh ^{-1}\left(\frac{\sqrt{b} \coth (c+d x)}{\sqrt{a+b \coth ^2(c+d x)-b}}\right)}{8 d}+\frac{a^{5/2} \tanh ^{-1}\left(\frac{\sqrt{a} \coth (c+d x)}{\sqrt{a+b \coth ^2(c+d x)-b}}\right)}{d}-\frac{b \coth (c+d x) \left(a+b \coth ^2(c+d x)-b\right)^{3/2}}{4 d}-\frac{b (7 a-3 b) \coth (c+d x) \sqrt{a+b \coth ^2(c+d x)-b}}{8 d}","-\frac{\sqrt{b} \left(15 a^2-10 a b+3 b^2\right) \tanh ^{-1}\left(\frac{\sqrt{b} \coth (c+d x)}{\sqrt{a+b \coth ^2(c+d x)-b}}\right)}{8 d}+\frac{a^{5/2} \tanh ^{-1}\left(\frac{\sqrt{a} \coth (c+d x)}{\sqrt{a+b \coth ^2(c+d x)-b}}\right)}{d}-\frac{b \coth (c+d x) \left(a+b \coth ^2(c+d x)-b\right)^{3/2}}{4 d}-\frac{b (7 a-3 b) \coth (c+d x) \sqrt{a+b \coth ^2(c+d x)-b}}{8 d}",1,"(a^(5/2)*ArcTanh[(Sqrt[a]*Coth[c + d*x])/Sqrt[a - b + b*Coth[c + d*x]^2]])/d - (Sqrt[b]*(15*a^2 - 10*a*b + 3*b^2)*ArcTanh[(Sqrt[b]*Coth[c + d*x])/Sqrt[a - b + b*Coth[c + d*x]^2]])/(8*d) - ((7*a - 3*b)*b*Coth[c + d*x]*Sqrt[a - b + b*Coth[c + d*x]^2])/(8*d) - (b*Coth[c + d*x]*(a - b + b*Coth[c + d*x]^2)^(3/2))/(4*d)","A",8,7,16,0.4375,1,"{4128, 416, 528, 523, 217, 206, 377}"
10,1,126,0,0.1095016,"\int \left(a+b \text{csch}^2(c+d x)\right)^{3/2} \, dx","Int[(a + b*Csch[c + d*x]^2)^(3/2),x]","\frac{a^{3/2} \tanh ^{-1}\left(\frac{\sqrt{a} \coth (c+d x)}{\sqrt{a+b \coth ^2(c+d x)-b}}\right)}{d}-\frac{b \coth (c+d x) \sqrt{a+b \coth ^2(c+d x)-b}}{2 d}-\frac{\sqrt{b} (3 a-b) \tanh ^{-1}\left(\frac{\sqrt{b} \coth (c+d x)}{\sqrt{a+b \coth ^2(c+d x)-b}}\right)}{2 d}","\frac{a^{3/2} \tanh ^{-1}\left(\frac{\sqrt{a} \coth (c+d x)}{\sqrt{a+b \coth ^2(c+d x)-b}}\right)}{d}-\frac{b \coth (c+d x) \sqrt{a+b \coth ^2(c+d x)-b}}{2 d}-\frac{\sqrt{b} (3 a-b) \tanh ^{-1}\left(\frac{\sqrt{b} \coth (c+d x)}{\sqrt{a+b \coth ^2(c+d x)-b}}\right)}{2 d}",1,"(a^(3/2)*ArcTanh[(Sqrt[a]*Coth[c + d*x])/Sqrt[a - b + b*Coth[c + d*x]^2]])/d - ((3*a - b)*Sqrt[b]*ArcTanh[(Sqrt[b]*Coth[c + d*x])/Sqrt[a - b + b*Coth[c + d*x]^2]])/(2*d) - (b*Coth[c + d*x]*Sqrt[a - b + b*Coth[c + d*x]^2])/(2*d)","A",7,6,16,0.3750,1,"{4128, 416, 523, 217, 206, 377}"
11,1,84,0,0.0554641,"\int \sqrt{a+b \text{csch}^2(c+d x)} \, dx","Int[Sqrt[a + b*Csch[c + d*x]^2],x]","\frac{\sqrt{a} \tanh ^{-1}\left(\frac{\sqrt{a} \coth (c+d x)}{\sqrt{a+b \coth ^2(c+d x)-b}}\right)}{d}-\frac{\sqrt{b} \tanh ^{-1}\left(\frac{\sqrt{b} \coth (c+d x)}{\sqrt{a+b \coth ^2(c+d x)-b}}\right)}{d}","\frac{\sqrt{a} \tanh ^{-1}\left(\frac{\sqrt{a} \coth (c+d x)}{\sqrt{a+b \coth ^2(c+d x)-b}}\right)}{d}-\frac{\sqrt{b} \tanh ^{-1}\left(\frac{\sqrt{b} \coth (c+d x)}{\sqrt{a+b \coth ^2(c+d x)-b}}\right)}{d}",1,"(Sqrt[a]*ArcTanh[(Sqrt[a]*Coth[c + d*x])/Sqrt[a - b + b*Coth[c + d*x]^2]])/d - (Sqrt[b]*ArcTanh[(Sqrt[b]*Coth[c + d*x])/Sqrt[a - b + b*Coth[c + d*x]^2]])/d","A",6,5,16,0.3125,1,"{4128, 402, 217, 206, 377}"
12,1,41,0,0.0376623,"\int \frac{1}{\sqrt{a+b \text{csch}^2(c+d x)}} \, dx","Int[1/Sqrt[a + b*Csch[c + d*x]^2],x]","\frac{\tanh ^{-1}\left(\frac{\sqrt{a} \coth (c+d x)}{\sqrt{a+b \coth ^2(c+d x)-b}}\right)}{\sqrt{a} d}","\frac{\tanh ^{-1}\left(\frac{\sqrt{a} \coth (c+d x)}{\sqrt{a+b \text{csch}^2(c+d x)}}\right)}{\sqrt{a} d}",1,"ArcTanh[(Sqrt[a]*Coth[c + d*x])/Sqrt[a - b + b*Coth[c + d*x]^2]]/(Sqrt[a]*d)","A",3,3,16,0.1875,1,"{4128, 377, 206}"
13,1,82,0,0.0560802,"\int \frac{1}{\left(a+b \text{csch}^2(c+d x)\right)^{3/2}} \, dx","Int[(a + b*Csch[c + d*x]^2)^(-3/2),x]","\frac{\tanh ^{-1}\left(\frac{\sqrt{a} \coth (c+d x)}{\sqrt{a+b \coth ^2(c+d x)-b}}\right)}{a^{3/2} d}+\frac{b \coth (c+d x)}{a d (a-b) \sqrt{a+b \coth ^2(c+d x)-b}}","\frac{\tanh ^{-1}\left(\frac{\sqrt{a} \coth (c+d x)}{\sqrt{a+b \coth ^2(c+d x)-b}}\right)}{a^{3/2} d}+\frac{b \coth (c+d x)}{a d (a-b) \sqrt{a+b \coth ^2(c+d x)-b}}",1,"ArcTanh[(Sqrt[a]*Coth[c + d*x])/Sqrt[a - b + b*Coth[c + d*x]^2]]/(a^(3/2)*d) + (b*Coth[c + d*x])/(a*(a - b)*d*Sqrt[a - b + b*Coth[c + d*x]^2])","A",4,4,16,0.2500,1,"{4128, 382, 377, 206}"
14,1,135,0,0.1085327,"\int \frac{1}{\left(a+b \text{csch}^2(c+d x)\right)^{5/2}} \, dx","Int[(a + b*Csch[c + d*x]^2)^(-5/2),x]","\frac{b (5 a-3 b) \coth (c+d x)}{3 a^2 d (a-b)^2 \sqrt{a+b \coth ^2(c+d x)-b}}+\frac{\tanh ^{-1}\left(\frac{\sqrt{a} \coth (c+d x)}{\sqrt{a+b \coth ^2(c+d x)-b}}\right)}{a^{5/2} d}+\frac{b \coth (c+d x)}{3 a d (a-b) \left(a+b \coth ^2(c+d x)-b\right)^{3/2}}","\frac{b (5 a-3 b) \coth (c+d x)}{3 a^2 d (a-b)^2 \sqrt{a+b \coth ^2(c+d x)-b}}+\frac{\tanh ^{-1}\left(\frac{\sqrt{a} \coth (c+d x)}{\sqrt{a+b \coth ^2(c+d x)-b}}\right)}{a^{5/2} d}+\frac{b \coth (c+d x)}{3 a d (a-b) \left(a+b \coth ^2(c+d x)-b\right)^{3/2}}",1,"ArcTanh[(Sqrt[a]*Coth[c + d*x])/Sqrt[a - b + b*Coth[c + d*x]^2]]/(a^(5/2)*d) + (b*Coth[c + d*x])/(3*a*(a - b)*d*(a - b + b*Coth[c + d*x]^2)^(3/2)) + ((5*a - 3*b)*b*Coth[c + d*x])/(3*a^2*(a - b)^2*d*Sqrt[a - b + b*Coth[c + d*x]^2])","A",6,6,16,0.3750,1,"{4128, 414, 527, 12, 377, 206}"
15,1,193,0,0.1921739,"\int \frac{1}{\left(a+b \text{csch}^2(c+d x)\right)^{7/2}} \, dx","Int[(a + b*Csch[c + d*x]^2)^(-7/2),x]","\frac{b \left(33 a^2-40 a b+15 b^2\right) \coth (c+d x)}{15 a^3 d (a-b)^3 \sqrt{a+b \coth ^2(c+d x)-b}}+\frac{b (9 a-5 b) \coth (c+d x)}{15 a^2 d (a-b)^2 \left(a+b \coth ^2(c+d x)-b\right)^{3/2}}+\frac{\tanh ^{-1}\left(\frac{\sqrt{a} \coth (c+d x)}{\sqrt{a+b \coth ^2(c+d x)-b}}\right)}{a^{7/2} d}+\frac{b \coth (c+d x)}{5 a d (a-b) \left(a+b \coth ^2(c+d x)-b\right)^{5/2}}","\frac{b \left(33 a^2-40 a b+15 b^2\right) \coth (c+d x)}{15 a^3 d (a-b)^3 \sqrt{a+b \coth ^2(c+d x)-b}}+\frac{b (9 a-5 b) \coth (c+d x)}{15 a^2 d (a-b)^2 \left(a+b \coth ^2(c+d x)-b\right)^{3/2}}+\frac{\tanh ^{-1}\left(\frac{\sqrt{a} \coth (c+d x)}{\sqrt{a+b \coth ^2(c+d x)-b}}\right)}{a^{7/2} d}+\frac{b \coth (c+d x)}{5 a d (a-b) \left(a+b \coth ^2(c+d x)-b\right)^{5/2}}",1,"ArcTanh[(Sqrt[a]*Coth[c + d*x])/Sqrt[a - b + b*Coth[c + d*x]^2]]/(a^(7/2)*d) + (b*Coth[c + d*x])/(5*a*(a - b)*d*(a - b + b*Coth[c + d*x]^2)^(5/2)) + ((9*a - 5*b)*b*Coth[c + d*x])/(15*a^2*(a - b)^2*d*(a - b + b*Coth[c + d*x]^2)^(3/2)) + (b*(33*a^2 - 40*a*b + 15*b^2)*Coth[c + d*x])/(15*a^3*(a - b)^3*d*Sqrt[a - b + b*Coth[c + d*x]^2])","A",7,6,16,0.3750,1,"{4128, 414, 527, 12, 377, 206}"
16,1,29,0,0.0382828,"\int \left(1+\text{csch}^2(x)\right)^{3/2} \, dx","Int[(1 + Csch[x]^2)^(3/2),x]","\tanh (x) \sqrt{\coth ^2(x)} \log (\sinh (x))-\frac{1}{2} \tanh (x) \coth ^2(x)^{3/2}","\tanh (x) \sqrt{\coth ^2(x)} \log (\sinh (x))-\frac{1}{2} \tanh (x) \coth ^2(x)^{3/2}",1,"-((Coth[x]^2)^(3/2)*Tanh[x])/2 + Sqrt[Coth[x]^2]*Log[Sinh[x]]*Tanh[x]","A",4,4,10,0.4000,1,"{4121, 3658, 3473, 3475}"
17,1,14,0,0.0199036,"\int \sqrt{1+\text{csch}^2(x)} \, dx","Int[Sqrt[1 + Csch[x]^2],x]","\tanh (x) \sqrt{\coth ^2(x)} \log (\sinh (x))","\tanh (x) \sqrt{\coth ^2(x)} \log (\sinh (x))",1,"Sqrt[Coth[x]^2]*Log[Sinh[x]]*Tanh[x]","A",3,3,10,0.3000,1,"{4121, 3658, 3475}"
18,1,14,0,0.0240743,"\int \frac{1}{\sqrt{1+\text{csch}^2(x)}} \, dx","Int[1/Sqrt[1 + Csch[x]^2],x]","\frac{\coth (x) \log (\cosh (x))}{\sqrt{\coth ^2(x)}}","\frac{\coth (x) \log (\cosh (x))}{\sqrt{\coth ^2(x)}}",1,"(Coth[x]*Log[Cosh[x]])/Sqrt[Coth[x]^2]","A",3,3,10,0.3000,1,"{4121, 3658, 3475}"
19,1,46,0,0.0472462,"\int \left(1-\text{csch}^2(x)\right)^{3/2} \, dx","Int[(1 - Csch[x]^2)^(3/2),x]","\frac{1}{2} \coth (x) \sqrt{2-\coth ^2(x)}+\tanh ^{-1}\left(\frac{\coth (x)}{\sqrt{2-\coth ^2(x)}}\right)+2 \sin ^{-1}\left(\frac{\coth (x)}{\sqrt{2}}\right)","\frac{1}{2} \coth (x) \sqrt{2-\coth ^2(x)}+\tanh ^{-1}\left(\frac{\coth (x)}{\sqrt{2-\coth ^2(x)}}\right)+2 \sin ^{-1}\left(\frac{\coth (x)}{\sqrt{2}}\right)",1,"2*ArcSin[Coth[x]/Sqrt[2]] + ArcTanh[Coth[x]/Sqrt[2 - Coth[x]^2]] + (Coth[x]*Sqrt[2 - Coth[x]^2])/2","A",6,6,12,0.5000,1,"{4128, 416, 523, 216, 377, 206}"
20,1,26,0,0.0241561,"\int \sqrt{1-\text{csch}^2(x)} \, dx","Int[Sqrt[1 - Csch[x]^2],x]","\tanh ^{-1}\left(\frac{\coth (x)}{\sqrt{2-\coth ^2(x)}}\right)+\sin ^{-1}\left(\frac{\coth (x)}{\sqrt{2}}\right)","\tanh ^{-1}\left(\frac{\coth (x)}{\sqrt{2-\coth ^2(x)}}\right)+\sin ^{-1}\left(\frac{\coth (x)}{\sqrt{2}}\right)",1,"ArcSin[Coth[x]/Sqrt[2]] + ArcTanh[Coth[x]/Sqrt[2 - Coth[x]^2]]","A",5,5,12,0.4167,1,"{4128, 402, 216, 377, 206}"
21,1,16,0,0.0199289,"\int \frac{1}{\sqrt{1-\text{csch}^2(x)}} \, dx","Int[1/Sqrt[1 - Csch[x]^2],x]","\tanh ^{-1}\left(\frac{\coth (x)}{\sqrt{2-\coth ^2(x)}}\right)","\tanh ^{-1}\left(\frac{\coth (x)}{\sqrt{2-\coth ^2(x)}}\right)",1,"ArcTanh[Coth[x]/Sqrt[2 - Coth[x]^2]]","A",3,3,12,0.2500,1,"{4128, 377, 206}"
22,1,47,0,0.0425849,"\int \left(-1+\text{csch}^2(x)\right)^{3/2} \, dx","Int[(-1 + Csch[x]^2)^(3/2),x]","-\frac{1}{2} \coth (x) \sqrt{\coth ^2(x)-2}+\tan ^{-1}\left(\frac{\coth (x)}{\sqrt{\coth ^2(x)-2}}\right)+2 \tanh ^{-1}\left(\frac{\coth (x)}{\sqrt{\coth ^2(x)-2}}\right)","-\frac{1}{2} \coth (x) \sqrt{\coth ^2(x)-2}+\tan ^{-1}\left(\frac{\coth (x)}{\sqrt{\coth ^2(x)-2}}\right)+2 \tanh ^{-1}\left(\frac{\coth (x)}{\sqrt{\coth ^2(x)-2}}\right)",1,"ArcTan[Coth[x]/Sqrt[-2 + Coth[x]^2]] + 2*ArcTanh[Coth[x]/Sqrt[-2 + Coth[x]^2]] - (Coth[x]*Sqrt[-2 + Coth[x]^2])/2","A",7,7,10,0.7000,1,"{4128, 416, 523, 217, 206, 377, 203}"
23,1,33,0,0.0241303,"\int \sqrt{-1+\text{csch}^2(x)} \, dx","Int[Sqrt[-1 + Csch[x]^2],x]","-\tan ^{-1}\left(\frac{\coth (x)}{\sqrt{\coth ^2(x)-2}}\right)-\tanh ^{-1}\left(\frac{\coth (x)}{\sqrt{\coth ^2(x)-2}}\right)","-\tan ^{-1}\left(\frac{\coth (x)}{\sqrt{\coth ^2(x)-2}}\right)-\tanh ^{-1}\left(\frac{\coth (x)}{\sqrt{\coth ^2(x)-2}}\right)",1,"-ArcTan[Coth[x]/Sqrt[-2 + Coth[x]^2]] - ArcTanh[Coth[x]/Sqrt[-2 + Coth[x]^2]]","A",6,6,10,0.6000,1,"{4128, 402, 217, 206, 377, 203}"
24,1,14,0,0.0178882,"\int \frac{1}{\sqrt{-1+\text{csch}^2(x)}} \, dx","Int[1/Sqrt[-1 + Csch[x]^2],x]","\tan ^{-1}\left(\frac{\coth (x)}{\sqrt{\coth ^2(x)-2}}\right)","\tan ^{-1}\left(\frac{\coth (x)}{\sqrt{\coth ^2(x)-2}}\right)",1,"ArcTan[Coth[x]/Sqrt[-2 + Coth[x]^2]]","A",3,3,10,0.3000,1,"{4128, 377, 203}"
25,1,34,0,0.0373094,"\int \left(-1-\text{csch}^2(x)\right)^{3/2} \, dx","Int[(-1 - Csch[x]^2)^(3/2),x]","\frac{1}{2} \coth (x) \sqrt{-\coth ^2(x)}-\tanh (x) \sqrt{-\coth ^2(x)} \log (\sinh (x))","\frac{1}{2} \coth (x) \sqrt{-\coth ^2(x)}-\tanh (x) \sqrt{-\coth ^2(x)} \log (\sinh (x))",1,"(Coth[x]*Sqrt[-Coth[x]^2])/2 - Sqrt[-Coth[x]^2]*Log[Sinh[x]]*Tanh[x]","A",4,4,12,0.3333,1,"{4121, 3658, 3473, 3475}"
26,1,16,0,0.0204336,"\int \sqrt{-1-\text{csch}^2(x)} \, dx","Int[Sqrt[-1 - Csch[x]^2],x]","\tanh (x) \sqrt{-\coth ^2(x)} \log (\sinh (x))","\tanh (x) \sqrt{-\coth ^2(x)} \log (\sinh (x))",1,"Sqrt[-Coth[x]^2]*Log[Sinh[x]]*Tanh[x]","A",3,3,12,0.2500,1,"{4121, 3658, 3475}"
27,1,16,0,0.0226844,"\int \frac{1}{\sqrt{-1-\text{csch}^2(x)}} \, dx","Int[1/Sqrt[-1 - Csch[x]^2],x]","\frac{\coth (x) \log (\cosh (x))}{\sqrt{-\coth ^2(x)}}","\frac{\coth (x) \log (\cosh (x))}{\sqrt{-\coth ^2(x)}}",1,"(Coth[x]*Log[Cosh[x]])/Sqrt[-Coth[x]^2]","A",3,3,12,0.2500,1,"{4121, 3658, 3475}"