1,1,129,108,0.588000," ","int((a+b*csch(d*x+c)^2)^4,x)","\frac{a^{4} \left(d x +c \right)-4 a^{3} b \coth \left(d x +c \right)+6 a^{2} b^{2} \left(\frac{2}{3}-\frac{\mathrm{csch}\left(d x +c \right)^{2}}{3}\right) \coth \left(d x +c \right)+4 a \,b^{3} \left(-\frac{8}{15}-\frac{\mathrm{csch}\left(d x +c \right)^{4}}{5}+\frac{4 \mathrm{csch}\left(d x +c \right)^{2}}{15}\right) \coth \left(d x +c \right)+b^{4} \left(\frac{16}{35}-\frac{\mathrm{csch}\left(d x +c \right)^{6}}{7}+\frac{6 \mathrm{csch}\left(d x +c \right)^{4}}{35}-\frac{8 \mathrm{csch}\left(d x +c \right)^{2}}{35}\right) \coth \left(d x +c \right)}{d}"," ",0,"1/d*(a^4*(d*x+c)-4*a^3*b*coth(d*x+c)+6*a^2*b^2*(2/3-1/3*csch(d*x+c)^2)*coth(d*x+c)+4*a*b^3*(-8/15-1/5*csch(d*x+c)^4+4/15*csch(d*x+c)^2)*coth(d*x+c)+b^4*(16/35-1/7*csch(d*x+c)^6+6/35*csch(d*x+c)^4-8/35*csch(d*x+c)^2)*coth(d*x+c))","A"
2,1,83,70,0.500000," ","int((a+b*csch(d*x+c)^2)^3,x)","\frac{a^{3} \left(d x +c \right)-3 a^{2} b \coth \left(d x +c \right)+3 a \,b^{2} \left(\frac{2}{3}-\frac{\mathrm{csch}\left(d x +c \right)^{2}}{3}\right) \coth \left(d x +c \right)+b^{3} \left(-\frac{8}{15}-\frac{\mathrm{csch}\left(d x +c \right)^{4}}{5}+\frac{4 \mathrm{csch}\left(d x +c \right)^{2}}{15}\right) \coth \left(d x +c \right)}{d}"," ",0,"1/d*(a^3*(d*x+c)-3*a^2*b*coth(d*x+c)+3*a*b^2*(2/3-1/3*csch(d*x+c)^2)*coth(d*x+c)+b^3*(-8/15-1/5*csch(d*x+c)^4+4/15*csch(d*x+c)^2)*coth(d*x+c))","A"
3,1,47,41,0.417000," ","int((a+b*csch(d*x+c)^2)^2,x)","\frac{a^{2} \left(d x +c \right)-2 a b \coth \left(d x +c \right)+b^{2} \left(\frac{2}{3}-\frac{\mathrm{csch}\left(d x +c \right)^{2}}{3}\right) \coth \left(d x +c \right)}{d}"," ",0,"1/d*(a^2*(d*x+c)-2*a*b*coth(d*x+c)+b^2*(2/3-1/3*csch(d*x+c)^2)*coth(d*x+c))","A"
4,1,17,16,0.328000," ","int(a+b*csch(d*x+c)^2,x)","a x -\frac{b \coth \left(d x +c \right)}{d}"," ",0,"a*x-b*coth(d*x+c)/d","A"
5,1,302,42,0.305000," ","int(1/(a+b*csch(d*x+c)^2),x)","-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d a}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d a}+\frac{b \arctan \left(\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b}{\sqrt{\left(2 \sqrt{a \left(a -b \right)}+2 a -b \right) b}}\right)}{d a \sqrt{\left(2 \sqrt{a \left(a -b \right)}+2 a -b \right) b}}+\frac{b \arctan \left(\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b}{\sqrt{\left(2 \sqrt{a \left(a -b \right)}+2 a -b \right) b}}\right)}{d \sqrt{a \left(a -b \right)}\, \sqrt{\left(2 \sqrt{a \left(a -b \right)}+2 a -b \right) b}}-\frac{b \arctanh \left(\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b}{\sqrt{\left(2 \sqrt{a \left(a -b \right)}-2 a +b \right) b}}\right)}{d a \sqrt{\left(2 \sqrt{a \left(a -b \right)}-2 a +b \right) b}}+\frac{b \arctanh \left(\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b}{\sqrt{\left(2 \sqrt{a \left(a -b \right)}-2 a +b \right) b}}\right)}{d \sqrt{a \left(a -b \right)}\, \sqrt{\left(2 \sqrt{a \left(a -b \right)}-2 a +b \right) b}}"," ",0,"-1/d/a*ln(tanh(1/2*d*x+1/2*c)-1)+1/d/a*ln(tanh(1/2*d*x+1/2*c)+1)+1/d*b/a/((2*(a*(a-b))^(1/2)+2*a-b)*b)^(1/2)*arctan(tanh(1/2*d*x+1/2*c)*b/((2*(a*(a-b))^(1/2)+2*a-b)*b)^(1/2))+1/d*b/(a*(a-b))^(1/2)/((2*(a*(a-b))^(1/2)+2*a-b)*b)^(1/2)*arctan(tanh(1/2*d*x+1/2*c)*b/((2*(a*(a-b))^(1/2)+2*a-b)*b)^(1/2))-1/d*b/a/((2*(a*(a-b))^(1/2)-2*a+b)*b)^(1/2)*arctanh(tanh(1/2*d*x+1/2*c)*b/((2*(a*(a-b))^(1/2)-2*a+b)*b)^(1/2))+1/d*b/(a*(a-b))^(1/2)/((2*(a*(a-b))^(1/2)-2*a+b)*b)^(1/2)*arctanh(tanh(1/2*d*x+1/2*c)*b/((2*(a*(a-b))^(1/2)-2*a+b)*b)^(1/2))","B"
6,1,778,88,0.289000," ","int(1/(a+b*csch(d*x+c)^2)^2,x)","-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,a^{2}}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,a^{2}}+\frac{b \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d a \left(b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +b \right) \left(a -b \right)}+\frac{b \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d a \left(b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +b \right) \left(a -b \right)}+\frac{3 b \arctan \left(\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b}{\sqrt{\left(2 \sqrt{a \left(a -b \right)}+2 a -b \right) b}}\right)}{2 d a \left(a -b \right) \sqrt{\left(2 \sqrt{a \left(a -b \right)}+2 a -b \right) b}}+\frac{3 b \arctan \left(\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b}{\sqrt{\left(2 \sqrt{a \left(a -b \right)}+2 a -b \right) b}}\right)}{2 d \left(a -b \right) \sqrt{a \left(a -b \right)}\, \sqrt{\left(2 \sqrt{a \left(a -b \right)}+2 a -b \right) b}}-\frac{3 b \arctanh \left(\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b}{\sqrt{\left(2 \sqrt{a \left(a -b \right)}-2 a +b \right) b}}\right)}{2 d a \left(a -b \right) \sqrt{\left(2 \sqrt{a \left(a -b \right)}-2 a +b \right) b}}+\frac{3 b \arctanh \left(\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b}{\sqrt{\left(2 \sqrt{a \left(a -b \right)}-2 a +b \right) b}}\right)}{2 d \left(a -b \right) \sqrt{a \left(a -b \right)}\, \sqrt{\left(2 \sqrt{a \left(a -b \right)}-2 a +b \right) b}}-\frac{b^{2} \arctan \left(\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b}{\sqrt{\left(2 \sqrt{a \left(a -b \right)}+2 a -b \right) b}}\right)}{d \,a^{2} \left(a -b \right) \sqrt{\left(2 \sqrt{a \left(a -b \right)}+2 a -b \right) b}}-\frac{b^{2} \arctan \left(\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b}{\sqrt{\left(2 \sqrt{a \left(a -b \right)}+2 a -b \right) b}}\right)}{d a \left(a -b \right) \sqrt{a \left(a -b \right)}\, \sqrt{\left(2 \sqrt{a \left(a -b \right)}+2 a -b \right) b}}+\frac{b^{2} \arctanh \left(\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b}{\sqrt{\left(2 \sqrt{a \left(a -b \right)}-2 a +b \right) b}}\right)}{d \,a^{2} \left(a -b \right) \sqrt{\left(2 \sqrt{a \left(a -b \right)}-2 a +b \right) b}}-\frac{b^{2} \arctanh \left(\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b}{\sqrt{\left(2 \sqrt{a \left(a -b \right)}-2 a +b \right) b}}\right)}{d a \left(a -b \right) \sqrt{a \left(a -b \right)}\, \sqrt{\left(2 \sqrt{a \left(a -b \right)}-2 a +b \right) b}}"," ",0,"-1/d/a^2*ln(tanh(1/2*d*x+1/2*c)-1)+1/d/a^2*ln(tanh(1/2*d*x+1/2*c)+1)+1/d/a*b/(b*tanh(1/2*d*x+1/2*c)^4+4*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+b)/(a-b)*tanh(1/2*d*x+1/2*c)^3+1/d/a*b/(b*tanh(1/2*d*x+1/2*c)^4+4*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+b)/(a-b)*tanh(1/2*d*x+1/2*c)+3/2/d/a*b/(a-b)/((2*(a*(a-b))^(1/2)+2*a-b)*b)^(1/2)*arctan(tanh(1/2*d*x+1/2*c)*b/((2*(a*(a-b))^(1/2)+2*a-b)*b)^(1/2))+3/2/d*b/(a-b)/(a*(a-b))^(1/2)/((2*(a*(a-b))^(1/2)+2*a-b)*b)^(1/2)*arctan(tanh(1/2*d*x+1/2*c)*b/((2*(a*(a-b))^(1/2)+2*a-b)*b)^(1/2))-3/2/d/a*b/(a-b)/((2*(a*(a-b))^(1/2)-2*a+b)*b)^(1/2)*arctanh(tanh(1/2*d*x+1/2*c)*b/((2*(a*(a-b))^(1/2)-2*a+b)*b)^(1/2))+3/2/d*b/(a-b)/(a*(a-b))^(1/2)/((2*(a*(a-b))^(1/2)-2*a+b)*b)^(1/2)*arctanh(tanh(1/2*d*x+1/2*c)*b/((2*(a*(a-b))^(1/2)-2*a+b)*b)^(1/2))-1/d/a^2*b^2/(a-b)/((2*(a*(a-b))^(1/2)+2*a-b)*b)^(1/2)*arctan(tanh(1/2*d*x+1/2*c)*b/((2*(a*(a-b))^(1/2)+2*a-b)*b)^(1/2))-1/d/a*b^2/(a-b)/(a*(a-b))^(1/2)/((2*(a*(a-b))^(1/2)+2*a-b)*b)^(1/2)*arctan(tanh(1/2*d*x+1/2*c)*b/((2*(a*(a-b))^(1/2)+2*a-b)*b)^(1/2))+1/d/a^2*b^2/(a-b)/((2*(a*(a-b))^(1/2)-2*a+b)*b)^(1/2)*arctanh(tanh(1/2*d*x+1/2*c)*b/((2*(a*(a-b))^(1/2)-2*a+b)*b)^(1/2))-1/d/a*b^2/(a-b)/(a*(a-b))^(1/2)/((2*(a*(a-b))^(1/2)-2*a+b)*b)^(1/2)*arctanh(tanh(1/2*d*x+1/2*c)*b/((2*(a*(a-b))^(1/2)-2*a+b)*b)^(1/2))","B"
7,1,1798,142,0.312000," ","int(1/(a+b*csch(d*x+c)^2)^3,x)","-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,a^{3}}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,a^{3}}+\frac{7 b^{2} \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d a \left(b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +b \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}-\frac{b^{3} \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{2} \left(b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +b \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}+\frac{9 b \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +b \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}-\frac{31 b^{2} \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d a \left(b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +b \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}+\frac{b^{3} \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{2} \left(b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +b \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}+\frac{9 b \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +b \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}-\frac{31 b^{2} \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d a \left(b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +b \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}+\frac{b^{3} \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{2} \left(b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +b \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}+\frac{7 b^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{4 d a \left(b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +b \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}-\frac{b^{3} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d \,a^{2} \left(b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +b \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}+\frac{15 b \arctan \left(\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b}{\sqrt{\left(2 \sqrt{a \left(a -b \right)}+2 a -b \right) b}}\right)}{8 d a \left(a^{2}-2 a b +b^{2}\right) \sqrt{\left(2 \sqrt{a \left(a -b \right)}+2 a -b \right) b}}-\frac{5 b^{2} \arctan \left(\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b}{\sqrt{\left(2 \sqrt{a \left(a -b \right)}+2 a -b \right) b}}\right)}{2 d \,a^{2} \left(a^{2}-2 a b +b^{2}\right) \sqrt{\left(2 \sqrt{a \left(a -b \right)}+2 a -b \right) b}}+\frac{b^{3} \arctan \left(\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b}{\sqrt{\left(2 \sqrt{a \left(a -b \right)}+2 a -b \right) b}}\right)}{d \,a^{3} \left(a^{2}-2 a b +b^{2}\right) \sqrt{\left(2 \sqrt{a \left(a -b \right)}+2 a -b \right) b}}+\frac{15 b \arctan \left(\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b}{\sqrt{\left(2 \sqrt{a \left(a -b \right)}+2 a -b \right) b}}\right)}{8 d \left(a^{2}-2 a b +b^{2}\right) \sqrt{a \left(a -b \right)}\, \sqrt{\left(2 \sqrt{a \left(a -b \right)}+2 a -b \right) b}}-\frac{5 b^{2} \arctan \left(\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b}{\sqrt{\left(2 \sqrt{a \left(a -b \right)}+2 a -b \right) b}}\right)}{2 d a \left(a^{2}-2 a b +b^{2}\right) \sqrt{a \left(a -b \right)}\, \sqrt{\left(2 \sqrt{a \left(a -b \right)}+2 a -b \right) b}}+\frac{b^{3} \arctan \left(\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b}{\sqrt{\left(2 \sqrt{a \left(a -b \right)}+2 a -b \right) b}}\right)}{d \,a^{2} \left(a^{2}-2 a b +b^{2}\right) \sqrt{a \left(a -b \right)}\, \sqrt{\left(2 \sqrt{a \left(a -b \right)}+2 a -b \right) b}}-\frac{15 b \arctanh \left(\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b}{\sqrt{\left(2 \sqrt{a \left(a -b \right)}-2 a +b \right) b}}\right)}{8 d a \left(a^{2}-2 a b +b^{2}\right) \sqrt{\left(2 \sqrt{a \left(a -b \right)}-2 a +b \right) b}}+\frac{5 b^{2} \arctanh \left(\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b}{\sqrt{\left(2 \sqrt{a \left(a -b \right)}-2 a +b \right) b}}\right)}{2 d \,a^{2} \left(a^{2}-2 a b +b^{2}\right) \sqrt{\left(2 \sqrt{a \left(a -b \right)}-2 a +b \right) b}}-\frac{b^{3} \arctanh \left(\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b}{\sqrt{\left(2 \sqrt{a \left(a -b \right)}-2 a +b \right) b}}\right)}{d \,a^{3} \left(a^{2}-2 a b +b^{2}\right) \sqrt{\left(2 \sqrt{a \left(a -b \right)}-2 a +b \right) b}}+\frac{15 b \arctanh \left(\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b}{\sqrt{\left(2 \sqrt{a \left(a -b \right)}-2 a +b \right) b}}\right)}{8 d \left(a^{2}-2 a b +b^{2}\right) \sqrt{a \left(a -b \right)}\, \sqrt{\left(2 \sqrt{a \left(a -b \right)}-2 a +b \right) b}}-\frac{5 b^{2} \arctanh \left(\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b}{\sqrt{\left(2 \sqrt{a \left(a -b \right)}-2 a +b \right) b}}\right)}{2 d a \left(a^{2}-2 a b +b^{2}\right) \sqrt{a \left(a -b \right)}\, \sqrt{\left(2 \sqrt{a \left(a -b \right)}-2 a +b \right) b}}+\frac{b^{3} \arctanh \left(\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b}{\sqrt{\left(2 \sqrt{a \left(a -b \right)}-2 a +b \right) b}}\right)}{d \,a^{2} \left(a^{2}-2 a b +b^{2}\right) \sqrt{a \left(a -b \right)}\, \sqrt{\left(2 \sqrt{a \left(a -b \right)}-2 a +b \right) b}}"," ",0,"-1/d/a^3*ln(tanh(1/2*d*x+1/2*c)-1)+1/d/a^3*ln(tanh(1/2*d*x+1/2*c)+1)+7/4/d/a*b^2/(b*tanh(1/2*d*x+1/2*c)^4+4*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+b)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^7-1/d/a^2*b^3/(b*tanh(1/2*d*x+1/2*c)^4+4*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+b)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^7+9/d*b/(b*tanh(1/2*d*x+1/2*c)^4+4*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+b)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^5-31/4/d/a*b^2/(b*tanh(1/2*d*x+1/2*c)^4+4*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+b)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^5+1/d/a^2*b^3/(b*tanh(1/2*d*x+1/2*c)^4+4*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+b)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^5+9/d*b/(b*tanh(1/2*d*x+1/2*c)^4+4*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+b)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^3-31/4/d/a*b^2/(b*tanh(1/2*d*x+1/2*c)^4+4*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+b)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^3+1/d/a^2*b^3/(b*tanh(1/2*d*x+1/2*c)^4+4*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+b)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^3+7/4/d/a*b^2/(b*tanh(1/2*d*x+1/2*c)^4+4*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+b)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)-1/d/a^2*b^3/(b*tanh(1/2*d*x+1/2*c)^4+4*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+b)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)+15/8/d/a*b/(a^2-2*a*b+b^2)/((2*(a*(a-b))^(1/2)+2*a-b)*b)^(1/2)*arctan(tanh(1/2*d*x+1/2*c)*b/((2*(a*(a-b))^(1/2)+2*a-b)*b)^(1/2))-5/2/d/a^2*b^2/(a^2-2*a*b+b^2)/((2*(a*(a-b))^(1/2)+2*a-b)*b)^(1/2)*arctan(tanh(1/2*d*x+1/2*c)*b/((2*(a*(a-b))^(1/2)+2*a-b)*b)^(1/2))+1/d/a^3*b^3/(a^2-2*a*b+b^2)/((2*(a*(a-b))^(1/2)+2*a-b)*b)^(1/2)*arctan(tanh(1/2*d*x+1/2*c)*b/((2*(a*(a-b))^(1/2)+2*a-b)*b)^(1/2))+15/8/d*b/(a^2-2*a*b+b^2)/(a*(a-b))^(1/2)/((2*(a*(a-b))^(1/2)+2*a-b)*b)^(1/2)*arctan(tanh(1/2*d*x+1/2*c)*b/((2*(a*(a-b))^(1/2)+2*a-b)*b)^(1/2))-5/2/d/a*b^2/(a^2-2*a*b+b^2)/(a*(a-b))^(1/2)/((2*(a*(a-b))^(1/2)+2*a-b)*b)^(1/2)*arctan(tanh(1/2*d*x+1/2*c)*b/((2*(a*(a-b))^(1/2)+2*a-b)*b)^(1/2))+1/d/a^2*b^3/(a^2-2*a*b+b^2)/(a*(a-b))^(1/2)/((2*(a*(a-b))^(1/2)+2*a-b)*b)^(1/2)*arctan(tanh(1/2*d*x+1/2*c)*b/((2*(a*(a-b))^(1/2)+2*a-b)*b)^(1/2))-15/8/d/a*b/(a^2-2*a*b+b^2)/((2*(a*(a-b))^(1/2)-2*a+b)*b)^(1/2)*arctanh(tanh(1/2*d*x+1/2*c)*b/((2*(a*(a-b))^(1/2)-2*a+b)*b)^(1/2))+5/2/d/a^2*b^2/(a^2-2*a*b+b^2)/((2*(a*(a-b))^(1/2)-2*a+b)*b)^(1/2)*arctanh(tanh(1/2*d*x+1/2*c)*b/((2*(a*(a-b))^(1/2)-2*a+b)*b)^(1/2))-1/d/a^3*b^3/(a^2-2*a*b+b^2)/((2*(a*(a-b))^(1/2)-2*a+b)*b)^(1/2)*arctanh(tanh(1/2*d*x+1/2*c)*b/((2*(a*(a-b))^(1/2)-2*a+b)*b)^(1/2))+15/8/d*b/(a^2-2*a*b+b^2)/(a*(a-b))^(1/2)/((2*(a*(a-b))^(1/2)-2*a+b)*b)^(1/2)*arctanh(tanh(1/2*d*x+1/2*c)*b/((2*(a*(a-b))^(1/2)-2*a+b)*b)^(1/2))-5/2/d/a*b^2/(a^2-2*a*b+b^2)/(a*(a-b))^(1/2)/((2*(a*(a-b))^(1/2)-2*a+b)*b)^(1/2)*arctanh(tanh(1/2*d*x+1/2*c)*b/((2*(a*(a-b))^(1/2)-2*a+b)*b)^(1/2))+1/d/a^2*b^3/(a^2-2*a*b+b^2)/(a*(a-b))^(1/2)/((2*(a*(a-b))^(1/2)-2*a+b)*b)^(1/2)*arctanh(tanh(1/2*d*x+1/2*c)*b/((2*(a*(a-b))^(1/2)-2*a+b)*b)^(1/2))","B"
8,1,3638,204,0.308000," ","int(1/(a+b*csch(d*x+c)^2)^4,x)","\text{output too large to display}"," ",0,"-1/d/a^3*b^4/(a^3-3*a^2*b+3*a*b^2-b^3)/(a*(a-b))^(1/2)/((2*(a*(a-b))^(1/2)-2*a+b)*b)^(1/2)*arctanh(tanh(1/2*d*x+1/2*c)*b/((2*(a*(a-b))^(1/2)-2*a+b)*b)^(1/2))-35/8/d/a*b^2/(a^3-3*a^2*b+3*a*b^2-b^3)/(a*(a-b))^(1/2)/((2*(a*(a-b))^(1/2)+2*a-b)*b)^(1/2)*arctan(tanh(1/2*d*x+1/2*c)*b/((2*(a*(a-b))^(1/2)+2*a-b)*b)^(1/2))+7/2/d/a^2*b^3/(a^3-3*a^2*b+3*a*b^2-b^3)/(a*(a-b))^(1/2)/((2*(a*(a-b))^(1/2)+2*a-b)*b)^(1/2)*arctan(tanh(1/2*d*x+1/2*c)*b/((2*(a*(a-b))^(1/2)+2*a-b)*b)^(1/2))-1/d/a^3*b^4/(a^3-3*a^2*b+3*a*b^2-b^3)/(a*(a-b))^(1/2)/((2*(a*(a-b))^(1/2)+2*a-b)*b)^(1/2)*arctan(tanh(1/2*d*x+1/2*c)*b/((2*(a*(a-b))^(1/2)+2*a-b)*b)^(1/2))-35/8/d/a*b^2/(a^3-3*a^2*b+3*a*b^2-b^3)/(a*(a-b))^(1/2)/((2*(a*(a-b))^(1/2)-2*a+b)*b)^(1/2)*arctanh(tanh(1/2*d*x+1/2*c)*b/((2*(a*(a-b))^(1/2)-2*a+b)*b)^(1/2))+7/2/d/a^2*b^3/(a^3-3*a^2*b+3*a*b^2-b^3)/(a*(a-b))^(1/2)/((2*(a*(a-b))^(1/2)-2*a+b)*b)^(1/2)*arctanh(tanh(1/2*d*x+1/2*c)*b/((2*(a*(a-b))^(1/2)-2*a+b)*b)^(1/2))+247/4/d/a*b^3/(b*tanh(1/2*d*x+1/2*c)^4+4*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+b)^3/(a^3-3*a^2*b+3*a*b^2-b^3)*tanh(1/2*d*x+1/2*c)^5-31/2/d/a^2*b^4/(b*tanh(1/2*d*x+1/2*c)^4+4*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+b)^3/(a^3-3*a^2*b+3*a*b^2-b^3)*tanh(1/2*d*x+1/2*c)^5+2/d/a^3*b^5/(b*tanh(1/2*d*x+1/2*c)^4+4*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+b)^3/(a^3-3*a^2*b+3*a*b^2-b^3)*tanh(1/2*d*x+1/2*c)^5-835/24/d/a*b^3/(b*tanh(1/2*d*x+1/2*c)^4+4*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+b)^3/(a^3-3*a^2*b+3*a*b^2-b^3)*tanh(1/2*d*x+1/2*c)^3+73/4/d/a^2*b^4/(b*tanh(1/2*d*x+1/2*c)^4+4*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+b)^3/(a^3-3*a^2*b+3*a*b^2-b^3)*tanh(1/2*d*x+1/2*c)^3+7/2/d/a^3*b^3/(a^3-3*a^2*b+3*a*b^2-b^3)/((2*(a*(a-b))^(1/2)+2*a-b)*b)^(1/2)*arctan(tanh(1/2*d*x+1/2*c)*b/((2*(a*(a-b))^(1/2)+2*a-b)*b)^(1/2))+58/d*a*b/(b*tanh(1/2*d*x+1/2*c)^4+4*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+b)^3/(a^3-3*a^2*b+3*a*b^2-b^3)*tanh(1/2*d*x+1/2*c)^7-3/d/a^3*b^5/(b*tanh(1/2*d*x+1/2*c)^4+4*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+b)^3/(a^3-3*a^2*b+3*a*b^2-b^3)*tanh(1/2*d*x+1/2*c)^9+58/d*a*b/(b*tanh(1/2*d*x+1/2*c)^4+4*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+b)^3/(a^3-3*a^2*b+3*a*b^2-b^3)*tanh(1/2*d*x+1/2*c)^5+35/16/d*b/(a^3-3*a^2*b+3*a*b^2-b^3)/(a*(a-b))^(1/2)/((2*(a*(a-b))^(1/2)+2*a-b)*b)^(1/2)*arctan(tanh(1/2*d*x+1/2*c)*b/((2*(a*(a-b))^(1/2)+2*a-b)*b)^(1/2))-11/4/d/a^2*b^4/(b*tanh(1/2*d*x+1/2*c)^4+4*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+b)^3/(a^3-3*a^2*b+3*a*b^2-b^3)*tanh(1/2*d*x+1/2*c)^11-835/24/d/a*b^3/(b*tanh(1/2*d*x+1/2*c)^4+4*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+b)^3/(a^3-3*a^2*b+3*a*b^2-b^3)*tanh(1/2*d*x+1/2*c)^9+247/4/d/a*b^3/(b*tanh(1/2*d*x+1/2*c)^4+4*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+b)^3/(a^3-3*a^2*b+3*a*b^2-b^3)*tanh(1/2*d*x+1/2*c)^7-31/2/d/a^2*b^4/(b*tanh(1/2*d*x+1/2*c)^4+4*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+b)^3/(a^3-3*a^2*b+3*a*b^2-b^3)*tanh(1/2*d*x+1/2*c)^7+2/d/a^3*b^5/(b*tanh(1/2*d*x+1/2*c)^4+4*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+b)^3/(a^3-3*a^2*b+3*a*b^2-b^3)*tanh(1/2*d*x+1/2*c)^7+35/16/d*b/(a^3-3*a^2*b+3*a*b^2-b^3)/(a*(a-b))^(1/2)/((2*(a*(a-b))^(1/2)-2*a+b)*b)^(1/2)*arctanh(tanh(1/2*d*x+1/2*c)*b/((2*(a*(a-b))^(1/2)-2*a+b)*b)^(1/2))-100/d*b^2/(b*tanh(1/2*d*x+1/2*c)^4+4*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+b)^3/(a^3-3*a^2*b+3*a*b^2-b^3)*tanh(1/2*d*x+1/2*c)^7-100/d*b^2/(b*tanh(1/2*d*x+1/2*c)^4+4*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+b)^3/(a^3-3*a^2*b+3*a*b^2-b^3)*tanh(1/2*d*x+1/2*c)^5+68/3/d*b^2/(b*tanh(1/2*d*x+1/2*c)^4+4*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+b)^3/(a^3-3*a^2*b+3*a*b^2-b^3)*tanh(1/2*d*x+1/2*c)^3+68/3/d*b^2/(b*tanh(1/2*d*x+1/2*c)^4+4*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+b)^3/(a^3-3*a^2*b+3*a*b^2-b^3)*tanh(1/2*d*x+1/2*c)^9-1/d/a^4*ln(tanh(1/2*d*x+1/2*c)-1)+1/d/a^4*ln(tanh(1/2*d*x+1/2*c)+1)+19/8/d/a*b^3/(b*tanh(1/2*d*x+1/2*c)^4+4*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+b)^3/(a^3-3*a^2*b+3*a*b^2-b^3)*tanh(1/2*d*x+1/2*c)^11+1/d/a^4*b^4/(a^3-3*a^2*b+3*a*b^2-b^3)/((2*(a*(a-b))^(1/2)-2*a+b)*b)^(1/2)*arctanh(tanh(1/2*d*x+1/2*c)*b/((2*(a*(a-b))^(1/2)-2*a+b)*b)^(1/2))-1/d/a^4*b^4/(a^3-3*a^2*b+3*a*b^2-b^3)/((2*(a*(a-b))^(1/2)+2*a-b)*b)^(1/2)*arctan(tanh(1/2*d*x+1/2*c)*b/((2*(a*(a-b))^(1/2)+2*a-b)*b)^(1/2))+35/16/d/a*b/(a^3-3*a^2*b+3*a*b^2-b^3)/((2*(a*(a-b))^(1/2)+2*a-b)*b)^(1/2)*arctan(tanh(1/2*d*x+1/2*c)*b/((2*(a*(a-b))^(1/2)+2*a-b)*b)^(1/2))-35/8/d/a^2*b^2/(a^3-3*a^2*b+3*a*b^2-b^3)/((2*(a*(a-b))^(1/2)+2*a-b)*b)^(1/2)*arctan(tanh(1/2*d*x+1/2*c)*b/((2*(a*(a-b))^(1/2)+2*a-b)*b)^(1/2))+73/4/d/a^2*b^4/(b*tanh(1/2*d*x+1/2*c)^4+4*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+b)^3/(a^3-3*a^2*b+3*a*b^2-b^3)*tanh(1/2*d*x+1/2*c)^9-3/d/a^3*b^5/(b*tanh(1/2*d*x+1/2*c)^4+4*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+b)^3/(a^3-3*a^2*b+3*a*b^2-b^3)*tanh(1/2*d*x+1/2*c)^3+19/8/d/a*b^3/(b*tanh(1/2*d*x+1/2*c)^4+4*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+b)^3/(a^3-3*a^2*b+3*a*b^2-b^3)*tanh(1/2*d*x+1/2*c)-11/4/d/a^2*b^4/(b*tanh(1/2*d*x+1/2*c)^4+4*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+b)^3/(a^3-3*a^2*b+3*a*b^2-b^3)*tanh(1/2*d*x+1/2*c)+1/d/a^3*b^5/(b*tanh(1/2*d*x+1/2*c)^4+4*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+b)^3/(a^3-3*a^2*b+3*a*b^2-b^3)*tanh(1/2*d*x+1/2*c)-35/16/d/a*b/(a^3-3*a^2*b+3*a*b^2-b^3)/((2*(a*(a-b))^(1/2)-2*a+b)*b)^(1/2)*arctanh(tanh(1/2*d*x+1/2*c)*b/((2*(a*(a-b))^(1/2)-2*a+b)*b)^(1/2))+35/8/d/a^2*b^2/(a^3-3*a^2*b+3*a*b^2-b^3)/((2*(a*(a-b))^(1/2)-2*a+b)*b)^(1/2)*arctanh(tanh(1/2*d*x+1/2*c)*b/((2*(a*(a-b))^(1/2)-2*a+b)*b)^(1/2))-7/2/d/a^3*b^3/(a^3-3*a^2*b+3*a*b^2-b^3)/((2*(a*(a-b))^(1/2)-2*a+b)*b)^(1/2)*arctanh(tanh(1/2*d*x+1/2*c)*b/((2*(a*(a-b))^(1/2)-2*a+b)*b)^(1/2))+1/d/a^3*b^5/(b*tanh(1/2*d*x+1/2*c)^4+4*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+b)^3/(a^3-3*a^2*b+3*a*b^2-b^3)*tanh(1/2*d*x+1/2*c)^11","B"
9,0,0,152,0.622000," ","int((a+b*csch(d*x+c)^2)^(5/2),x)","\int \left(a +b \mathrm{csch}\left(d x +c \right)^{2}\right)^{\frac{5}{2}}\, dx"," ",0,"int((a+b*csch(d*x+c)^2)^(5/2),x)","F"
10,0,0,108,0.548000," ","int((a+b*csch(d*x+c)^2)^(3/2),x)","\int \left(a +b \mathrm{csch}\left(d x +c \right)^{2}\right)^{\frac{3}{2}}\, dx"," ",0,"int((a+b*csch(d*x+c)^2)^(3/2),x)","F"
11,0,0,72,0.635000," ","int((a+b*csch(d*x+c)^2)^(1/2),x)","\int \sqrt{a +b \mathrm{csch}\left(d x +c \right)^{2}}\, dx"," ",0,"int((a+b*csch(d*x+c)^2)^(1/2),x)","F"
12,0,0,32,0.575000," ","int(1/(a+b*csch(d*x+c)^2)^(1/2),x)","\int \frac{1}{\sqrt{a +b \mathrm{csch}\left(d x +c \right)^{2}}}\, dx"," ",0,"int(1/(a+b*csch(d*x+c)^2)^(1/2),x)","F"
13,0,0,74,0.455000," ","int(1/(a+b*csch(d*x+c)^2)^(3/2),x)","\int \frac{1}{\left(a +b \mathrm{csch}\left(d x +c \right)^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"int(1/(a+b*csch(d*x+c)^2)^(3/2),x)","F"
14,0,0,121,0.454000," ","int(1/(a+b*csch(d*x+c)^2)^(5/2),x)","\int \frac{1}{\left(a +b \mathrm{csch}\left(d x +c \right)^{2}\right)^{\frac{5}{2}}}\, dx"," ",0,"int(1/(a+b*csch(d*x+c)^2)^(5/2),x)","F"
15,0,0,175,0.465000," ","int(1/(a+b*csch(d*x+c)^2)^(7/2),x)","\int \frac{1}{\left(a +b \mathrm{csch}\left(d x +c \right)^{2}\right)^{\frac{7}{2}}}\, dx"," ",0,"int(1/(a+b*csch(d*x+c)^2)^(7/2),x)","F"
16,1,120,23,0.321000," ","int((1+csch(x)^2)^(3/2),x)","-\frac{\left({\mathrm e}^{2 x}-1\right) \sqrt{\frac{\left(1+{\mathrm e}^{2 x}\right)^{2}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}\, x}{1+{\mathrm e}^{2 x}}-\frac{2 \sqrt{\frac{\left(1+{\mathrm e}^{2 x}\right)^{2}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}\, {\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right) \left({\mathrm e}^{2 x}-1\right)}+\frac{\left({\mathrm e}^{2 x}-1\right) \sqrt{\frac{\left(1+{\mathrm e}^{2 x}\right)^{2}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}\, \ln \left({\mathrm e}^{2 x}-1\right)}{1+{\mathrm e}^{2 x}}"," ",0,"-1/(1+exp(2*x))*(exp(2*x)-1)*((1+exp(2*x))^2/(exp(2*x)-1)^2)^(1/2)*x-2/(1+exp(2*x))/(exp(2*x)-1)*((1+exp(2*x))^2/(exp(2*x)-1)^2)^(1/2)*exp(2*x)+1/(1+exp(2*x))*(exp(2*x)-1)*((1+exp(2*x))^2/(exp(2*x)-1)^2)^(1/2)*ln(exp(2*x)-1)","B"
17,1,79,12,0.322000," ","int((1+csch(x)^2)^(1/2),x)","-\frac{\left({\mathrm e}^{2 x}-1\right) \sqrt{\frac{\left(1+{\mathrm e}^{2 x}\right)^{2}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}\, x}{1+{\mathrm e}^{2 x}}+\frac{\left({\mathrm e}^{2 x}-1\right) \sqrt{\frac{\left(1+{\mathrm e}^{2 x}\right)^{2}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}\, \ln \left({\mathrm e}^{2 x}-1\right)}{1+{\mathrm e}^{2 x}}"," ",0,"-1/(1+exp(2*x))*(exp(2*x)-1)*((1+exp(2*x))^2/(exp(2*x)-1)^2)^(1/2)*x+1/(1+exp(2*x))*(exp(2*x)-1)*((1+exp(2*x))^2/(exp(2*x)-1)^2)^(1/2)*ln(exp(2*x)-1)","B"
18,1,79,12,0.307000," ","int(1/(1+csch(x)^2)^(1/2),x)","-\frac{\left(1+{\mathrm e}^{2 x}\right) x}{\sqrt{\frac{\left(1+{\mathrm e}^{2 x}\right)^{2}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}\, \left({\mathrm e}^{2 x}-1\right)}+\frac{\left(1+{\mathrm e}^{2 x}\right) \ln \left(1+{\mathrm e}^{2 x}\right)}{\sqrt{\frac{\left(1+{\mathrm e}^{2 x}\right)^{2}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}\, \left({\mathrm e}^{2 x}-1\right)}"," ",0,"-1/((1+exp(2*x))^2/(exp(2*x)-1)^2)^(1/2)/(exp(2*x)-1)*(1+exp(2*x))*x+1/((1+exp(2*x))^2/(exp(2*x)-1)^2)^(1/2)/(exp(2*x)-1)*(1+exp(2*x))*ln(1+exp(2*x))","B"
19,0,0,39,0.353000," ","int((1-csch(x)^2)^(3/2),x)","\int \left(1-\mathrm{csch}\left(x \right)^{2}\right)^{\frac{3}{2}}\, dx"," ",0,"int((1-csch(x)^2)^(3/2),x)","F"
20,0,0,23,0.343000," ","int((1-csch(x)^2)^(1/2),x)","\int \sqrt{1-\mathrm{csch}\left(x \right)^{2}}\, dx"," ",0,"int((1-csch(x)^2)^(1/2),x)","F"
21,0,0,14,0.381000," ","int(1/(1-csch(x)^2)^(1/2),x)","\int \frac{1}{\sqrt{1-\mathrm{csch}\left(x \right)^{2}}}\, dx"," ",0,"int(1/(1-csch(x)^2)^(1/2),x)","F"
22,0,0,39,0.347000," ","int((-1+csch(x)^2)^(3/2),x)","\int \left(-1+\mathrm{csch}\left(x \right)^{2}\right)^{\frac{3}{2}}\, dx"," ",0,"int((-1+csch(x)^2)^(3/2),x)","F"
23,0,0,29,0.330000," ","int((-1+csch(x)^2)^(1/2),x)","\int \sqrt{-1+\mathrm{csch}\left(x \right)^{2}}\, dx"," ",0,"int((-1+csch(x)^2)^(1/2),x)","F"
24,0,0,12,0.383000," ","int(1/(-1+csch(x)^2)^(1/2),x)","\int \frac{1}{\sqrt{-1+\mathrm{csch}\left(x \right)^{2}}}\, dx"," ",0,"int(1/(-1+csch(x)^2)^(1/2),x)","F"
25,1,123,28,0.366000," ","int((-1-csch(x)^2)^(3/2),x)","\frac{\left({\mathrm e}^{2 x}-1\right) \sqrt{-\frac{\left(1+{\mathrm e}^{2 x}\right)^{2}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}\, x}{1+{\mathrm e}^{2 x}}+\frac{2 \sqrt{-\frac{\left(1+{\mathrm e}^{2 x}\right)^{2}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}\, {\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right) \left({\mathrm e}^{2 x}-1\right)}-\frac{\left({\mathrm e}^{2 x}-1\right) \sqrt{-\frac{\left(1+{\mathrm e}^{2 x}\right)^{2}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}\, \ln \left({\mathrm e}^{2 x}-1\right)}{1+{\mathrm e}^{2 x}}"," ",0,"1/(1+exp(2*x))*(exp(2*x)-1)*(-(1+exp(2*x))^2/(exp(2*x)-1)^2)^(1/2)*x+2/(1+exp(2*x))/(exp(2*x)-1)*(-(1+exp(2*x))^2/(exp(2*x)-1)^2)^(1/2)*exp(2*x)-1/(1+exp(2*x))*(exp(2*x)-1)*(-(1+exp(2*x))^2/(exp(2*x)-1)^2)^(1/2)*ln(exp(2*x)-1)","B"
26,1,81,14,0.312000," ","int((-1-csch(x)^2)^(1/2),x)","-\frac{\left({\mathrm e}^{2 x}-1\right) \sqrt{-\frac{\left(1+{\mathrm e}^{2 x}\right)^{2}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}\, x}{1+{\mathrm e}^{2 x}}+\frac{\left({\mathrm e}^{2 x}-1\right) \sqrt{-\frac{\left(1+{\mathrm e}^{2 x}\right)^{2}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}\, \ln \left({\mathrm e}^{2 x}-1\right)}{1+{\mathrm e}^{2 x}}"," ",0,"-1/(1+exp(2*x))*(exp(2*x)-1)*(-(1+exp(2*x))^2/(exp(2*x)-1)^2)^(1/2)*x+1/(1+exp(2*x))*(exp(2*x)-1)*(-(1+exp(2*x))^2/(exp(2*x)-1)^2)^(1/2)*ln(exp(2*x)-1)","B"
27,1,81,14,0.315000," ","int(1/(-1-csch(x)^2)^(1/2),x)","-\frac{\left(1+{\mathrm e}^{2 x}\right) x}{\sqrt{-\frac{\left(1+{\mathrm e}^{2 x}\right)^{2}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}\, \left({\mathrm e}^{2 x}-1\right)}+\frac{\left(1+{\mathrm e}^{2 x}\right) \ln \left(1+{\mathrm e}^{2 x}\right)}{\sqrt{-\frac{\left(1+{\mathrm e}^{2 x}\right)^{2}}{\left({\mathrm e}^{2 x}-1\right)^{2}}}\, \left({\mathrm e}^{2 x}-1\right)}"," ",0,"-1/(-(1+exp(2*x))^2/(exp(2*x)-1)^2)^(1/2)/(exp(2*x)-1)*(1+exp(2*x))*x+1/(-(1+exp(2*x))^2/(exp(2*x)-1)^2)^(1/2)/(exp(2*x)-1)*(1+exp(2*x))*ln(1+exp(2*x))","B"