1,1,17,16,0.131000," ","int(2/(-1+3*cosh(4+6*x)),x)","\frac{\arctan \left(\sqrt{2}\, \tanh \left(2+3 x \right)\right) \sqrt{2}}{6}"," ",0,"1/6*arctan(2^(1/2)*tanh(2+3*x))*2^(1/2)","A"
2,1,156,16,0.515000," ","int(1/(cosh(2+3*x)^2+2*sinh(2+3*x)^2),x)","\frac{\sqrt{6}\, \arctan \left(\frac{2 \tanh \left(1+\frac{3 x}{2}\right)}{2 \sqrt{3}-2 \sqrt{2}}\right)}{6 \sqrt{3}-6 \sqrt{2}}-\frac{2 \arctan \left(\frac{2 \tanh \left(1+\frac{3 x}{2}\right)}{2 \sqrt{3}-2 \sqrt{2}}\right)}{3 \left(2 \sqrt{3}-2 \sqrt{2}\right)}-\frac{\sqrt{6}\, \arctan \left(\frac{2 \tanh \left(1+\frac{3 x}{2}\right)}{2 \sqrt{3}+2 \sqrt{2}}\right)}{3 \left(2 \sqrt{3}+2 \sqrt{2}\right)}-\frac{2 \arctan \left(\frac{2 \tanh \left(1+\frac{3 x}{2}\right)}{2 \sqrt{3}+2 \sqrt{2}}\right)}{3 \left(2 \sqrt{3}+2 \sqrt{2}\right)}"," ",0,"1/3*6^(1/2)/(2*3^(1/2)-2*2^(1/2))*arctan(2*tanh(1+3/2*x)/(2*3^(1/2)-2*2^(1/2)))-2/3/(2*3^(1/2)-2*2^(1/2))*arctan(2*tanh(1+3/2*x)/(2*3^(1/2)-2*2^(1/2)))-1/3*6^(1/2)/(2*3^(1/2)+2*2^(1/2))*arctan(2*tanh(1+3/2*x)/(2*3^(1/2)+2*2^(1/2)))-2/3/(2*3^(1/2)+2*2^(1/2))*arctan(2*tanh(1+3/2*x)/(2*3^(1/2)+2*2^(1/2)))","B"
3,1,156,16,0.604000," ","int(sech(2+3*x)^2/(1+2*tanh(2+3*x)^2),x)","\frac{\sqrt{6}\, \arctan \left(\frac{2 \tanh \left(1+\frac{3 x}{2}\right)}{2 \sqrt{3}-2 \sqrt{2}}\right)}{6 \sqrt{3}-6 \sqrt{2}}-\frac{2 \arctan \left(\frac{2 \tanh \left(1+\frac{3 x}{2}\right)}{2 \sqrt{3}-2 \sqrt{2}}\right)}{3 \left(2 \sqrt{3}-2 \sqrt{2}\right)}-\frac{\sqrt{6}\, \arctan \left(\frac{2 \tanh \left(1+\frac{3 x}{2}\right)}{2 \sqrt{3}+2 \sqrt{2}}\right)}{3 \left(2 \sqrt{3}+2 \sqrt{2}\right)}-\frac{2 \arctan \left(\frac{2 \tanh \left(1+\frac{3 x}{2}\right)}{2 \sqrt{3}+2 \sqrt{2}}\right)}{3 \left(2 \sqrt{3}+2 \sqrt{2}\right)}"," ",0,"1/3*6^(1/2)/(2*3^(1/2)-2*2^(1/2))*arctan(2*tanh(1+3/2*x)/(2*3^(1/2)-2*2^(1/2)))-2/3/(2*3^(1/2)-2*2^(1/2))*arctan(2*tanh(1+3/2*x)/(2*3^(1/2)-2*2^(1/2)))-1/3*6^(1/2)/(2*3^(1/2)+2*2^(1/2))*arctan(2*tanh(1+3/2*x)/(2*3^(1/2)+2*2^(1/2)))-2/3/(2*3^(1/2)+2*2^(1/2))*arctan(2*tanh(1+3/2*x)/(2*3^(1/2)+2*2^(1/2)))","B"
4,1,156,16,0.523000," ","int(csch(2+3*x)^2/(2+coth(2+3*x)^2),x)","\frac{\sqrt{6}\, \arctan \left(\frac{2 \tanh \left(1+\frac{3 x}{2}\right)}{2 \sqrt{3}-2 \sqrt{2}}\right)}{6 \sqrt{3}-6 \sqrt{2}}-\frac{2 \arctan \left(\frac{2 \tanh \left(1+\frac{3 x}{2}\right)}{2 \sqrt{3}-2 \sqrt{2}}\right)}{3 \left(2 \sqrt{3}-2 \sqrt{2}\right)}-\frac{\sqrt{6}\, \arctan \left(\frac{2 \tanh \left(1+\frac{3 x}{2}\right)}{2 \sqrt{3}+2 \sqrt{2}}\right)}{3 \left(2 \sqrt{3}+2 \sqrt{2}\right)}-\frac{2 \arctan \left(\frac{2 \tanh \left(1+\frac{3 x}{2}\right)}{2 \sqrt{3}+2 \sqrt{2}}\right)}{3 \left(2 \sqrt{3}+2 \sqrt{2}\right)}"," ",0,"1/3*6^(1/2)/(2*3^(1/2)-2*2^(1/2))*arctan(2*tanh(1+3/2*x)/(2*3^(1/2)-2*2^(1/2)))-2/3/(2*3^(1/2)-2*2^(1/2))*arctan(2*tanh(1+3/2*x)/(2*3^(1/2)-2*2^(1/2)))-1/3*6^(1/2)/(2*3^(1/2)+2*2^(1/2))*arctan(2*tanh(1+3/2*x)/(2*3^(1/2)+2*2^(1/2)))-2/3/(2*3^(1/2)+2*2^(1/2))*arctan(2*tanh(1+3/2*x)/(2*3^(1/2)+2*2^(1/2)))","B"
5,1,44,16,0.450000," ","int(csch(2+3*x)^2/(2-coth(2+3*x)^2),x)","-\frac{\sqrt{2}\, \arctanh \left(\frac{\left(-2+2 \tanh \left(1+\frac{3 x}{2}\right)\right) \sqrt{2}}{4}\right)}{6}-\frac{\sqrt{2}\, \arctanh \left(\frac{\left(2 \tanh \left(1+\frac{3 x}{2}\right)+2\right) \sqrt{2}}{4}\right)}{6}"," ",0,"-1/6*2^(1/2)*arctanh(1/4*(-2+2*tanh(1+3/2*x))*2^(1/2))-1/6*2^(1/2)*arctanh(1/4*(2*tanh(1+3/2*x)+2)*2^(1/2))","B"
6,1,132,17,0.537000," ","int(csch(2+3*x)^2/(1+2*coth(2+3*x)^2),x)","\frac{\sqrt{3}\, \arctan \left(\frac{2 \tanh \left(1+\frac{3 x}{2}\right)}{\sqrt{6}-\sqrt{2}}\right)}{3 \sqrt{6}-3 \sqrt{2}}-\frac{\arctan \left(\frac{2 \tanh \left(1+\frac{3 x}{2}\right)}{\sqrt{6}-\sqrt{2}}\right)}{3 \left(\sqrt{6}-\sqrt{2}\right)}-\frac{\sqrt{3}\, \arctan \left(\frac{2 \tanh \left(1+\frac{3 x}{2}\right)}{\sqrt{6}+\sqrt{2}}\right)}{3 \left(\sqrt{6}+\sqrt{2}\right)}-\frac{\arctan \left(\frac{2 \tanh \left(1+\frac{3 x}{2}\right)}{\sqrt{6}+\sqrt{2}}\right)}{3 \left(\sqrt{6}+\sqrt{2}\right)}"," ",0,"1/3*3^(1/2)/(6^(1/2)-2^(1/2))*arctan(2*tanh(1+3/2*x)/(6^(1/2)-2^(1/2)))-1/3/(6^(1/2)-2^(1/2))*arctan(2*tanh(1+3/2*x)/(6^(1/2)-2^(1/2)))-1/3*3^(1/2)/(6^(1/2)+2^(1/2))*arctan(2*tanh(1+3/2*x)/(6^(1/2)+2^(1/2)))-1/3/(6^(1/2)+2^(1/2))*arctan(2*tanh(1+3/2*x)/(6^(1/2)+2^(1/2)))","B"
7,1,102,17,0.451000," ","int(csch(2+3*x)^2/(1-2*coth(2+3*x)^2),x)","-\frac{\sqrt{2}\, \ln \left(\frac{\tanh^{2}\left(1+\frac{3 x}{2}\right)+\sqrt{2}\, \tanh \left(1+\frac{3 x}{2}\right)+1}{\tanh^{2}\left(1+\frac{3 x}{2}\right)-\sqrt{2}\, \tanh \left(1+\frac{3 x}{2}\right)+1}\right)}{24}+\frac{\sqrt{2}\, \ln \left(\frac{\tanh^{2}\left(1+\frac{3 x}{2}\right)-\sqrt{2}\, \tanh \left(1+\frac{3 x}{2}\right)+1}{\tanh^{2}\left(1+\frac{3 x}{2}\right)+\sqrt{2}\, \tanh \left(1+\frac{3 x}{2}\right)+1}\right)}{24}"," ",0,"-1/24*2^(1/2)*ln((tanh(1+3/2*x)^2+2^(1/2)*tanh(1+3/2*x)+1)/(tanh(1+3/2*x)^2-2^(1/2)*tanh(1+3/2*x)+1))+1/24*2^(1/2)*ln((tanh(1+3/2*x)^2-2^(1/2)*tanh(1+3/2*x)+1)/(tanh(1+3/2*x)^2+2^(1/2)*tanh(1+3/2*x)+1))","B"
8,1,14,13,0.021000," ","int(cosh(b*x+a)*sinh(b*x+a),x)","\frac{\cosh^{2}\left(b x +a \right)}{2 b}"," ",0,"1/2*cosh(b*x+a)^2/b","A"
9,1,20,19,0.123000," ","int(cosh(b*x+a)*sinh(b*x+a)^n,x)","\frac{\sinh^{n +1}\left(b x +a \right)}{b \left(n +1\right)}"," ",0,"sinh(b*x+a)^(n+1)/b/(n+1)","A"
10,0,0,39,1.275000," ","int(cosh(b*x+a)^3*sinh(b*x+a)^n,x)","\int \left(\cosh^{3}\left(b x +a \right)\right) \left(\sinh^{n}\left(b x +a \right)\right)\, dx"," ",0,"int(cosh(b*x+a)^3*sinh(b*x+a)^n,x)","F"
11,0,0,59,1.188000," ","int(cosh(b*x+a)^5*sinh(b*x+a)^n,x)","\int \left(\cosh^{5}\left(b x +a \right)\right) \left(\sinh^{n}\left(b x +a \right)\right)\, dx"," ",0,"int(cosh(b*x+a)^5*sinh(b*x+a)^n,x)","F"
12,1,20,19,0.067000," ","int(cosh(b*x+a)^m*sinh(b*x+a),x)","\frac{\cosh^{1+m}\left(b x +a \right)}{b \left(1+m \right)}"," ",0,"cosh(b*x+a)^(1+m)/b/(1+m)","A"
13,1,923,40,1.018000," ","int(cosh(b*x+a)^m*sinh(b*x+a)^3,x)","\frac{\left(1+{\mathrm e}^{2 b x +2 a}\right)^{m} \left(\frac{1}{2}\right)^{m} \left({\mathrm e}^{b x +a}\right)^{-m} {\mathrm e}^{-3 b x -3 a} {\mathrm e}^{-\frac{i \pi  m \,\mathrm{csgn}\left(i \left(1+{\mathrm e}^{2 b x +2 a}\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-b x -a}\right) \mathrm{csgn}\left(i {\mathrm e}^{-b x -a} \left(1+{\mathrm e}^{2 b x +2 a}\right)\right)}{2}} {\mathrm e}^{\frac{i \pi  m \,\mathrm{csgn}\left(i \left(1+{\mathrm e}^{2 b x +2 a}\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-b x -a} \left(1+{\mathrm e}^{2 b x +2 a}\right)\right)^{2}}{2}} {\mathrm e}^{\frac{i \pi  m \,\mathrm{csgn}\left(i {\mathrm e}^{-b x -a}\right) \mathrm{csgn}\left(i {\mathrm e}^{-b x -a} \left(1+{\mathrm e}^{2 b x +2 a}\right)\right)^{2}}{2}} {\mathrm e}^{-\frac{i \pi  m \mathrm{csgn}\left(i {\mathrm e}^{-b x -a} \left(1+{\mathrm e}^{2 b x +2 a}\right)\right)^{3}}{2}}}{8 b \left(3+m \right)}+\frac{\left({\mathrm e}^{b x +a}\right)^{-m} \left(\frac{1}{2}\right)^{m} \left(1+{\mathrm e}^{2 b x +2 a}\right)^{m} {\mathrm e}^{3 b x +3 a} {\mathrm e}^{-\frac{i \pi  m \,\mathrm{csgn}\left(i \left(1+{\mathrm e}^{2 b x +2 a}\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-b x -a}\right) \mathrm{csgn}\left(i {\mathrm e}^{-b x -a} \left(1+{\mathrm e}^{2 b x +2 a}\right)\right)}{2}} {\mathrm e}^{\frac{i \pi  m \,\mathrm{csgn}\left(i \left(1+{\mathrm e}^{2 b x +2 a}\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-b x -a} \left(1+{\mathrm e}^{2 b x +2 a}\right)\right)^{2}}{2}} {\mathrm e}^{\frac{i \pi  m \,\mathrm{csgn}\left(i {\mathrm e}^{-b x -a}\right) \mathrm{csgn}\left(i {\mathrm e}^{-b x -a} \left(1+{\mathrm e}^{2 b x +2 a}\right)\right)^{2}}{2}} {\mathrm e}^{-\frac{i \pi  m \mathrm{csgn}\left(i {\mathrm e}^{-b x -a} \left(1+{\mathrm e}^{2 b x +2 a}\right)\right)^{3}}{2}}}{8 b \left(3+m \right)}-\frac{\left({\mathrm e}^{b x +a}\right)^{-m} \left(\frac{1}{2}\right)^{m} \left(1+{\mathrm e}^{2 b x +2 a}\right)^{m} \left(m +9\right) {\mathrm e}^{-b x -a} {\mathrm e}^{-\frac{i \pi  m \,\mathrm{csgn}\left(i \left(1+{\mathrm e}^{2 b x +2 a}\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-b x -a}\right) \mathrm{csgn}\left(i {\mathrm e}^{-b x -a} \left(1+{\mathrm e}^{2 b x +2 a}\right)\right)}{2}} {\mathrm e}^{\frac{i \pi  m \,\mathrm{csgn}\left(i \left(1+{\mathrm e}^{2 b x +2 a}\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-b x -a} \left(1+{\mathrm e}^{2 b x +2 a}\right)\right)^{2}}{2}} {\mathrm e}^{\frac{i \pi  m \,\mathrm{csgn}\left(i {\mathrm e}^{-b x -a}\right) \mathrm{csgn}\left(i {\mathrm e}^{-b x -a} \left(1+{\mathrm e}^{2 b x +2 a}\right)\right)^{2}}{2}} {\mathrm e}^{-\frac{i \pi  m \mathrm{csgn}\left(i {\mathrm e}^{-b x -a} \left(1+{\mathrm e}^{2 b x +2 a}\right)\right)^{3}}{2}}}{8 b \left(m^{2}+4 m +3\right)}-\frac{\left({\mathrm e}^{b x +a}\right)^{-m} \left(\frac{1}{2}\right)^{m} \left(1+{\mathrm e}^{2 b x +2 a}\right)^{m} \left(m +9\right) {\mathrm e}^{b x +a} {\mathrm e}^{-\frac{i \pi  m \,\mathrm{csgn}\left(i \left(1+{\mathrm e}^{2 b x +2 a}\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-b x -a}\right) \mathrm{csgn}\left(i {\mathrm e}^{-b x -a} \left(1+{\mathrm e}^{2 b x +2 a}\right)\right)}{2}} {\mathrm e}^{\frac{i \pi  m \,\mathrm{csgn}\left(i \left(1+{\mathrm e}^{2 b x +2 a}\right)\right) \mathrm{csgn}\left(i {\mathrm e}^{-b x -a} \left(1+{\mathrm e}^{2 b x +2 a}\right)\right)^{2}}{2}} {\mathrm e}^{\frac{i \pi  m \,\mathrm{csgn}\left(i {\mathrm e}^{-b x -a}\right) \mathrm{csgn}\left(i {\mathrm e}^{-b x -a} \left(1+{\mathrm e}^{2 b x +2 a}\right)\right)^{2}}{2}} {\mathrm e}^{-\frac{i \pi  m \mathrm{csgn}\left(i {\mathrm e}^{-b x -a} \left(1+{\mathrm e}^{2 b x +2 a}\right)\right)^{3}}{2}}}{8 b \left(m^{2}+4 m +3\right)}"," ",0,"1/8/b/(3+m)*(1+exp(2*b*x+2*a))^m*(1/2)^m*exp(b*x+a)^(-m)*exp(-3*b*x-3*a)*exp(-1/2*I*Pi*m*csgn(I*(1+exp(2*b*x+2*a)))*csgn(I*exp(-b*x-a))*csgn(I*exp(-b*x-a)*(1+exp(2*b*x+2*a))))*exp(1/2*I*Pi*m*csgn(I*(1+exp(2*b*x+2*a)))*csgn(I*exp(-b*x-a)*(1+exp(2*b*x+2*a)))^2)*exp(1/2*I*Pi*m*csgn(I*exp(-b*x-a))*csgn(I*exp(-b*x-a)*(1+exp(2*b*x+2*a)))^2)*exp(-1/2*I*Pi*m*csgn(I*exp(-b*x-a)*(1+exp(2*b*x+2*a)))^3)+1/8*exp(b*x+a)^(-m)*(1/2)^m*(1+exp(2*b*x+2*a))^m/b/(3+m)*exp(3*b*x+3*a)*exp(-1/2*I*Pi*m*csgn(I*(1+exp(2*b*x+2*a)))*csgn(I*exp(-b*x-a))*csgn(I*exp(-b*x-a)*(1+exp(2*b*x+2*a))))*exp(1/2*I*Pi*m*csgn(I*(1+exp(2*b*x+2*a)))*csgn(I*exp(-b*x-a)*(1+exp(2*b*x+2*a)))^2)*exp(1/2*I*Pi*m*csgn(I*exp(-b*x-a))*csgn(I*exp(-b*x-a)*(1+exp(2*b*x+2*a)))^2)*exp(-1/2*I*Pi*m*csgn(I*exp(-b*x-a)*(1+exp(2*b*x+2*a)))^3)-1/8*exp(b*x+a)^(-m)*(1/2)^m*(1+exp(2*b*x+2*a))^m*(m+9)/b/(m^2+4*m+3)*exp(-b*x-a)*exp(-1/2*I*Pi*m*csgn(I*(1+exp(2*b*x+2*a)))*csgn(I*exp(-b*x-a))*csgn(I*exp(-b*x-a)*(1+exp(2*b*x+2*a))))*exp(1/2*I*Pi*m*csgn(I*(1+exp(2*b*x+2*a)))*csgn(I*exp(-b*x-a)*(1+exp(2*b*x+2*a)))^2)*exp(1/2*I*Pi*m*csgn(I*exp(-b*x-a))*csgn(I*exp(-b*x-a)*(1+exp(2*b*x+2*a)))^2)*exp(-1/2*I*Pi*m*csgn(I*exp(-b*x-a)*(1+exp(2*b*x+2*a)))^3)-1/8*exp(b*x+a)^(-m)*(1/2)^m*(1+exp(2*b*x+2*a))^m*(m+9)/b/(m^2+4*m+3)*exp(b*x+a)*exp(-1/2*I*Pi*m*csgn(I*(1+exp(2*b*x+2*a)))*csgn(I*exp(-b*x-a))*csgn(I*exp(-b*x-a)*(1+exp(2*b*x+2*a))))*exp(1/2*I*Pi*m*csgn(I*(1+exp(2*b*x+2*a)))*csgn(I*exp(-b*x-a)*(1+exp(2*b*x+2*a)))^2)*exp(1/2*I*Pi*m*csgn(I*exp(-b*x-a))*csgn(I*exp(-b*x-a)*(1+exp(2*b*x+2*a)))^2)*exp(-1/2*I*Pi*m*csgn(I*exp(-b*x-a)*(1+exp(2*b*x+2*a)))^3)","C"
14,0,0,59,0.975000," ","int(cosh(b*x+a)^m*sinh(b*x+a)^5,x)","\int \left(\cosh^{m}\left(b x +a \right)\right) \left(\sinh^{5}\left(b x +a \right)\right)\, dx"," ",0,"int(cosh(b*x+a)^m*sinh(b*x+a)^5,x)","F"
15,1,43,40,0.087000," ","int(cosh(b*x+a)^2*sinh(b*x+a)^2,x)","\frac{\frac{\left(\cosh^{3}\left(b x +a \right)\right) \sinh \left(b x +a \right)}{4}-\frac{\cosh \left(b x +a \right) \sinh \left(b x +a \right)}{8}-\frac{b x}{8}-\frac{a}{8}}{b}"," ",0,"1/b*(1/4*cosh(b*x+a)^3*sinh(b*x+a)-1/8*cosh(b*x+a)*sinh(b*x+a)-1/8*b*x-1/8*a)","A"
16,1,61,61,0.091000," ","int(cosh(b*x+a)^2*sinh(b*x+a)^4,x)","\frac{\frac{\left(\cosh^{3}\left(b x +a \right)\right) \left(\sinh^{3}\left(b x +a \right)\right)}{6}-\frac{\left(\cosh^{3}\left(b x +a \right)\right) \sinh \left(b x +a \right)}{8}+\frac{\cosh \left(b x +a \right) \sinh \left(b x +a \right)}{16}+\frac{b x}{16}+\frac{a}{16}}{b}"," ",0,"1/b*(1/6*cosh(b*x+a)^3*sinh(b*x+a)^3-1/8*cosh(b*x+a)^3*sinh(b*x+a)+1/16*cosh(b*x+a)*sinh(b*x+a)+1/16*b*x+1/16*a)","A"
17,1,79,82,0.091000," ","int(cosh(b*x+a)^2*sinh(b*x+a)^6,x)","\frac{\frac{\left(\sinh^{5}\left(b x +a \right)\right) \left(\cosh^{3}\left(b x +a \right)\right)}{8}-\frac{5 \left(\cosh^{3}\left(b x +a \right)\right) \left(\sinh^{3}\left(b x +a \right)\right)}{48}+\frac{5 \left(\cosh^{3}\left(b x +a \right)\right) \sinh \left(b x +a \right)}{64}-\frac{5 \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{128}-\frac{5 b x}{128}-\frac{5 a}{128}}{b}"," ",0,"1/b*(1/8*sinh(b*x+a)^5*cosh(b*x+a)^3-5/48*cosh(b*x+a)^3*sinh(b*x+a)^3+5/64*cosh(b*x+a)^3*sinh(b*x+a)-5/128*cosh(b*x+a)*sinh(b*x+a)-5/128*b*x-5/128*a)","A"
18,1,56,59,0.329000," ","int(cosh(b*x+a)^4*sinh(b*x+a)^2,x)","\frac{\frac{\sinh \left(b x +a \right) \left(\cosh^{5}\left(b x +a \right)\right)}{6}-\frac{\left(\frac{\left(\cosh^{3}\left(b x +a \right)\right)}{4}+\frac{3 \cosh \left(b x +a \right)}{8}\right) \sinh \left(b x +a \right)}{6}-\frac{b x}{16}-\frac{a}{16}}{b}"," ",0,"1/b*(1/6*sinh(b*x+a)*cosh(b*x+a)^5-1/6*(1/4*cosh(b*x+a)^3+3/8*cosh(b*x+a))*sinh(b*x+a)-1/16*b*x-1/16*a)","A"
19,1,74,80,0.331000," ","int(cosh(b*x+a)^4*sinh(b*x+a)^4,x)","\frac{\frac{\left(\sinh^{3}\left(b x +a \right)\right) \left(\cosh^{5}\left(b x +a \right)\right)}{8}-\frac{\sinh \left(b x +a \right) \left(\cosh^{5}\left(b x +a \right)\right)}{16}+\frac{\left(\frac{\left(\cosh^{3}\left(b x +a \right)\right)}{4}+\frac{3 \cosh \left(b x +a \right)}{8}\right) \sinh \left(b x +a \right)}{16}+\frac{3 b x}{128}+\frac{3 a}{128}}{b}"," ",0,"1/b*(1/8*sinh(b*x+a)^3*cosh(b*x+a)^5-1/16*sinh(b*x+a)*cosh(b*x+a)^5+1/16*(1/4*cosh(b*x+a)^3+3/8*cosh(b*x+a))*sinh(b*x+a)+3/128*b*x+3/128*a)","A"
20,1,92,101,0.299000," ","int(cosh(b*x+a)^4*sinh(b*x+a)^6,x)","\frac{\frac{\left(\sinh^{5}\left(b x +a \right)\right) \left(\cosh^{5}\left(b x +a \right)\right)}{10}-\frac{\left(\sinh^{3}\left(b x +a \right)\right) \left(\cosh^{5}\left(b x +a \right)\right)}{16}+\frac{\sinh \left(b x +a \right) \left(\cosh^{5}\left(b x +a \right)\right)}{32}-\frac{\left(\frac{\left(\cosh^{3}\left(b x +a \right)\right)}{4}+\frac{3 \cosh \left(b x +a \right)}{8}\right) \sinh \left(b x +a \right)}{32}-\frac{3 b x}{256}-\frac{3 a}{256}}{b}"," ",0,"1/b*(1/10*sinh(b*x+a)^5*cosh(b*x+a)^5-1/16*sinh(b*x+a)^3*cosh(b*x+a)^5+1/32*sinh(b*x+a)*cosh(b*x+a)^5-1/32*(1/4*cosh(b*x+a)^3+3/8*cosh(b*x+a))*sinh(b*x+a)-3/256*b*x-3/256*a)","A"
21,1,66,78,0.328000," ","int(cosh(b*x+a)^6*sinh(b*x+a)^2,x)","\frac{\frac{\sinh \left(b x +a \right) \left(\cosh^{7}\left(b x +a \right)\right)}{8}-\frac{\left(\frac{\left(\cosh^{5}\left(b x +a \right)\right)}{6}+\frac{5 \left(\cosh^{3}\left(b x +a \right)\right)}{24}+\frac{5 \cosh \left(b x +a \right)}{16}\right) \sinh \left(b x +a \right)}{8}-\frac{5 b x}{128}-\frac{5 a}{128}}{b}"," ",0,"1/b*(1/8*sinh(b*x+a)*cosh(b*x+a)^7-1/8*(1/6*cosh(b*x+a)^5+5/24*cosh(b*x+a)^3+5/16*cosh(b*x+a))*sinh(b*x+a)-5/128*b*x-5/128*a)","A"
22,1,84,99,0.328000," ","int(cosh(b*x+a)^6*sinh(b*x+a)^4,x)","\frac{\frac{\left(\sinh^{3}\left(b x +a \right)\right) \left(\cosh^{7}\left(b x +a \right)\right)}{10}-\frac{3 \sinh \left(b x +a \right) \left(\cosh^{7}\left(b x +a \right)\right)}{80}+\frac{3 \left(\frac{\left(\cosh^{5}\left(b x +a \right)\right)}{6}+\frac{5 \left(\cosh^{3}\left(b x +a \right)\right)}{24}+\frac{5 \cosh \left(b x +a \right)}{16}\right) \sinh \left(b x +a \right)}{80}+\frac{3 b x}{256}+\frac{3 a}{256}}{b}"," ",0,"1/b*(1/10*sinh(b*x+a)^3*cosh(b*x+a)^7-3/80*sinh(b*x+a)*cosh(b*x+a)^7+3/80*(1/6*cosh(b*x+a)^5+5/24*cosh(b*x+a)^3+5/16*cosh(b*x+a))*sinh(b*x+a)+3/256*b*x+3/256*a)","A"
23,1,102,120,0.335000," ","int(cosh(b*x+a)^6*sinh(b*x+a)^6,x)","\frac{\frac{\left(\sinh^{5}\left(b x +a \right)\right) \left(\cosh^{7}\left(b x +a \right)\right)}{12}-\frac{\left(\sinh^{3}\left(b x +a \right)\right) \left(\cosh^{7}\left(b x +a \right)\right)}{24}+\frac{\sinh \left(b x +a \right) \left(\cosh^{7}\left(b x +a \right)\right)}{64}-\frac{\left(\frac{\left(\cosh^{5}\left(b x +a \right)\right)}{6}+\frac{5 \left(\cosh^{3}\left(b x +a \right)\right)}{24}+\frac{5 \cosh \left(b x +a \right)}{16}\right) \sinh \left(b x +a \right)}{64}-\frac{5 b x}{1024}-\frac{5 a}{1024}}{b}"," ",0,"1/b*(1/12*sinh(b*x+a)^5*cosh(b*x+a)^7-1/24*sinh(b*x+a)^3*cosh(b*x+a)^7+1/64*sinh(b*x+a)*cosh(b*x+a)^7-1/64*(1/6*cosh(b*x+a)^5+5/24*cosh(b*x+a)^3+5/16*cosh(b*x+a))*sinh(b*x+a)-5/1024*b*x-5/1024*a)","A"
24,1,12,11,0.090000," ","int(csch(b*x+a)*sech(b*x+a),x)","\frac{\ln \left(\tanh \left(b x +a \right)\right)}{b}"," ",0,"ln(tanh(b*x+a))/b","A"
25,1,23,23,0.093000," ","int(csch(b*x+a)*sech(b*x+a)^2,x)","\frac{\frac{1}{\cosh \left(b x +a \right)}-2 \arctanh \left({\mathrm e}^{b x +a}\right)}{b}"," ",0,"1/b*(1/cosh(b*x+a)-2*arctanh(exp(b*x+a)))","A"
26,1,26,25,0.143000," ","int(csch(b*x+a)*sech(b*x+a)^3,x)","\frac{1}{2 b \cosh \left(b x +a \right)^{2}}+\frac{\ln \left(\tanh \left(b x +a \right)\right)}{b}"," ",0,"1/2/b/cosh(b*x+a)^2+ln(tanh(b*x+a))/b","A"
27,1,33,36,0.162000," ","int(csch(b*x+a)*sech(b*x+a)^4,x)","\frac{\frac{1}{3 \cosh \left(b x +a \right)^{3}}+\frac{1}{\cosh \left(b x +a \right)}-2 \arctanh \left({\mathrm e}^{b x +a}\right)}{b}"," ",0,"1/b*(1/3/cosh(b*x+a)^3+1/cosh(b*x+a)-2*arctanh(exp(b*x+a)))","A"
28,1,39,38,0.170000," ","int(csch(b*x+a)*sech(b*x+a)^5,x)","\frac{1}{4 b \cosh \left(b x +a \right)^{4}}+\frac{1}{2 b \cosh \left(b x +a \right)^{2}}+\frac{\ln \left(\tanh \left(b x +a \right)\right)}{b}"," ",0,"1/4/b/cosh(b*x+a)^4+1/2/b/cosh(b*x+a)^2+ln(tanh(b*x+a))/b","A"
29,1,27,24,0.098000," ","int(csch(b*x+a)^2*sech(b*x+a),x)","-\frac{1}{b \sinh \left(b x +a \right)}-\frac{2 \arctan \left({\mathrm e}^{b x +a}\right)}{b}"," ",0,"-1/b/sinh(b*x+a)-2*arctan(exp(b*x+a))/b","A"
30,1,32,23,0.327000," ","int(csch(b*x+a)^2*sech(b*x+a)^2,x)","\frac{-\frac{1}{\sinh \left(b x +a \right) \cosh \left(b x +a \right)}-2 \tanh \left(b x +a \right)}{b}"," ",0,"1/b*(-1/sinh(b*x+a)/cosh(b*x+a)-2*tanh(b*x+a))","A"
31,1,52,43,0.335000," ","int(csch(b*x+a)^2*sech(b*x+a)^3,x)","-\frac{1}{b \sinh \left(b x +a \right) \cosh \left(b x +a \right)^{2}}-\frac{3 \,\mathrm{sech}\left(b x +a \right) \tanh \left(b x +a \right)}{2 b}-\frac{3 \arctan \left({\mathrm e}^{b x +a}\right)}{b}"," ",0,"-1/b/sinh(b*x+a)/cosh(b*x+a)^2-3/2*sech(b*x+a)*tanh(b*x+a)/b-3*arctan(exp(b*x+a))/b","A"
32,1,44,36,0.305000," ","int(csch(b*x+a)^2*sech(b*x+a)^4,x)","\frac{-\frac{1}{\sinh \left(b x +a \right) \cosh \left(b x +a \right)^{3}}-4 \left(\frac{2}{3}+\frac{\mathrm{sech}\left(b x +a \right)^{2}}{3}\right) \tanh \left(b x +a \right)}{b}"," ",0,"1/b*(-1/sinh(b*x+a)/cosh(b*x+a)^3-4*(2/3+1/3*sech(b*x+a)^2)*tanh(b*x+a))","A"
33,1,71,62,0.334000," ","int(csch(b*x+a)^2*sech(b*x+a)^5,x)","-\frac{1}{b \sinh \left(b x +a \right) \cosh \left(b x +a \right)^{4}}-\frac{5 \mathrm{sech}\left(b x +a \right)^{3} \tanh \left(b x +a \right)}{4 b}-\frac{15 \,\mathrm{sech}\left(b x +a \right) \tanh \left(b x +a \right)}{8 b}-\frac{15 \arctan \left({\mathrm e}^{b x +a}\right)}{4 b}"," ",0,"-1/b/sinh(b*x+a)/cosh(b*x+a)^4-5/4*sech(b*x+a)^3*tanh(b*x+a)/b-15/8*sech(b*x+a)*tanh(b*x+a)/b-15/4*arctan(exp(b*x+a))/b","A"
34,1,27,26,0.168000," ","int(csch(b*x+a)^3*sech(b*x+a),x)","-\frac{1}{2 b \sinh \left(b x +a \right)^{2}}-\frac{\ln \left(\tanh \left(b x +a \right)\right)}{b}"," ",0,"-1/2/b/sinh(b*x+a)^2-ln(tanh(b*x+a))/b","A"
35,1,43,43,0.178000," ","int(csch(b*x+a)^3*sech(b*x+a)^2,x)","\frac{-\frac{1}{2 \sinh \left(b x +a \right)^{2} \cosh \left(b x +a \right)}-\frac{3}{2 \cosh \left(b x +a \right)}+3 \arctanh \left({\mathrm e}^{b x +a}\right)}{b}"," ",0,"1/b*(-1/2/sinh(b*x+a)^2/cosh(b*x+a)-3/2/cosh(b*x+a)+3*arctanh(exp(b*x+a)))","A"
36,1,48,39,0.216000," ","int(csch(b*x+a)^3*sech(b*x+a)^3,x)","-\frac{1}{2 b \sinh \left(b x +a \right)^{2} \cosh \left(b x +a \right)^{2}}-\frac{1}{b \cosh \left(b x +a \right)^{2}}-\frac{2 \ln \left(\tanh \left(b x +a \right)\right)}{b}"," ",0,"-1/2/b/sinh(b*x+a)^2/cosh(b*x+a)^2-1/b/cosh(b*x+a)^2-2*ln(tanh(b*x+a))/b","A"
37,1,53,58,0.217000," ","int(csch(b*x+a)^3*sech(b*x+a)^4,x)","\frac{-\frac{1}{2 \sinh \left(b x +a \right)^{2} \cosh \left(b x +a \right)^{3}}-\frac{5}{6 \cosh \left(b x +a \right)^{3}}-\frac{5}{2 \cosh \left(b x +a \right)}+5 \arctanh \left({\mathrm e}^{b x +a}\right)}{b}"," ",0,"1/b*(-1/2/sinh(b*x+a)^2/cosh(b*x+a)^3-5/6/cosh(b*x+a)^3-5/2/cosh(b*x+a)+5*arctanh(exp(b*x+a)))","A"
38,1,61,52,0.219000," ","int(csch(b*x+a)^3*sech(b*x+a)^5,x)","-\frac{1}{2 b \sinh \left(b x +a \right)^{2} \cosh \left(b x +a \right)^{4}}-\frac{3}{4 b \cosh \left(b x +a \right)^{4}}-\frac{3}{2 b \cosh \left(b x +a \right)^{2}}-\frac{3 \ln \left(\tanh \left(b x +a \right)\right)}{b}"," ",0,"-1/2/b/sinh(b*x+a)^2/cosh(b*x+a)^4-3/4/b/cosh(b*x+a)^4-3/2/b/cosh(b*x+a)^2-3*ln(tanh(b*x+a))/b","A"
39,1,39,35,0.146000," ","int(csch(b*x+a)^4*sech(b*x+a),x)","-\frac{1}{3 b \sinh \left(b x +a \right)^{3}}+\frac{1}{b \sinh \left(b x +a \right)}+\frac{2 \arctan \left({\mathrm e}^{b x +a}\right)}{b}"," ",0,"-1/3/b/sinh(b*x+a)^3+1/b/sinh(b*x+a)+2*arctan(exp(b*x+a))/b","A"
40,1,50,35,0.318000," ","int(csch(b*x+a)^4*sech(b*x+a)^2,x)","\frac{-\frac{1}{3 \sinh \left(b x +a \right)^{3} \cosh \left(b x +a \right)}+\frac{4}{3 \sinh \left(b x +a \right) \cosh \left(b x +a \right)}+\frac{8 \tanh \left(b x +a \right)}{3}}{b}"," ",0,"1/b*(-1/3/sinh(b*x+a)^3/cosh(b*x+a)+4/3/sinh(b*x+a)/cosh(b*x+a)+8/3*tanh(b*x+a))","A"
41,1,73,58,0.335000," ","int(csch(b*x+a)^4*sech(b*x+a)^3,x)","-\frac{1}{3 b \sinh \left(b x +a \right)^{3} \cosh \left(b x +a \right)^{2}}+\frac{5}{3 b \sinh \left(b x +a \right) \cosh \left(b x +a \right)^{2}}+\frac{5 \,\mathrm{sech}\left(b x +a \right) \tanh \left(b x +a \right)}{2 b}+\frac{5 \arctan \left({\mathrm e}^{b x +a}\right)}{b}"," ",0,"-1/3/b/sinh(b*x+a)^3/cosh(b*x+a)^2+5/3/b/sinh(b*x+a)/cosh(b*x+a)^2+5/2*sech(b*x+a)*tanh(b*x+a)/b+5*arctan(exp(b*x+a))/b","A"
42,1,62,49,0.324000," ","int(csch(b*x+a)^4*sech(b*x+a)^4,x)","\frac{-\frac{1}{3 \sinh \left(b x +a \right)^{3} \cosh \left(b x +a \right)^{3}}+\frac{2}{\sinh \left(b x +a \right) \cosh \left(b x +a \right)^{3}}+8 \left(\frac{2}{3}+\frac{\mathrm{sech}\left(b x +a \right)^{2}}{3}\right) \tanh \left(b x +a \right)}{b}"," ",0,"1/b*(-1/3/sinh(b*x+a)^3/cosh(b*x+a)^3+2/sinh(b*x+a)/cosh(b*x+a)^3+8*(2/3+1/3*sech(b*x+a)^2)*tanh(b*x+a))","A"
43,1,92,79,0.360000," ","int(csch(b*x+a)^4*sech(b*x+a)^5,x)","-\frac{1}{3 b \sinh \left(b x +a \right)^{3} \cosh \left(b x +a \right)^{4}}+\frac{7}{3 b \sinh \left(b x +a \right) \cosh \left(b x +a \right)^{4}}+\frac{35 \mathrm{sech}\left(b x +a \right)^{3} \tanh \left(b x +a \right)}{12 b}+\frac{35 \,\mathrm{sech}\left(b x +a \right) \tanh \left(b x +a \right)}{8 b}+\frac{35 \arctan \left({\mathrm e}^{b x +a}\right)}{4 b}"," ",0,"-1/3/b/sinh(b*x+a)^3/cosh(b*x+a)^4+7/3/b/sinh(b*x+a)/cosh(b*x+a)^4+35/12*sech(b*x+a)^3*tanh(b*x+a)/b+35/8*sech(b*x+a)*tanh(b*x+a)/b+35/4*arctan(exp(b*x+a))/b","A"
44,1,39,37,0.174000," ","int(csch(b*x+a)^5*sech(b*x+a),x)","-\frac{1}{4 b \sinh \left(b x +a \right)^{4}}+\frac{1}{2 b \sinh \left(b x +a \right)^{2}}+\frac{\ln \left(\tanh \left(b x +a \right)\right)}{b}"," ",0,"-1/4/b/sinh(b*x+a)^4+1/2/b/sinh(b*x+a)^2+ln(tanh(b*x+a))/b","A"
45,1,61,62,0.151000," ","int(csch(b*x+a)^5*sech(b*x+a)^2,x)","\frac{-\frac{1}{4 \sinh \left(b x +a \right)^{4} \cosh \left(b x +a \right)}+\frac{5}{8 \sinh \left(b x +a \right)^{2} \cosh \left(b x +a \right)}+\frac{15}{8 \cosh \left(b x +a \right)}-\frac{15 \arctanh \left({\mathrm e}^{b x +a}\right)}{4}}{b}"," ",0,"1/b*(-1/4/sinh(b*x+a)^4/cosh(b*x+a)+5/8/sinh(b*x+a)^2/cosh(b*x+a)+15/8/cosh(b*x+a)-15/4*arctanh(exp(b*x+a)))","A"
46,1,69,52,0.217000," ","int(csch(b*x+a)^5*sech(b*x+a)^3,x)","-\frac{1}{4 b \sinh \left(b x +a \right)^{4} \cosh \left(b x +a \right)^{2}}+\frac{3}{4 b \sinh \left(b x +a \right)^{2} \cosh \left(b x +a \right)^{2}}+\frac{3}{2 b \cosh \left(b x +a \right)^{2}}+\frac{3 \ln \left(\tanh \left(b x +a \right)\right)}{b}"," ",0,"-1/4/b/sinh(b*x+a)^4/cosh(b*x+a)^2+3/4/b/sinh(b*x+a)^2/cosh(b*x+a)^2+3/2/b/cosh(b*x+a)^2+3*ln(tanh(b*x+a))/b","A"
47,1,71,79,0.222000," ","int(csch(b*x+a)^5*sech(b*x+a)^4,x)","\frac{-\frac{1}{4 \sinh \left(b x +a \right)^{4} \cosh \left(b x +a \right)^{3}}+\frac{7}{8 \sinh \left(b x +a \right)^{2} \cosh \left(b x +a \right)^{3}}+\frac{35}{24 \cosh \left(b x +a \right)^{3}}+\frac{35}{8 \cosh \left(b x +a \right)}-\frac{35 \arctanh \left({\mathrm e}^{b x +a}\right)}{4}}{b}"," ",0,"1/b*(-1/4/sinh(b*x+a)^4/cosh(b*x+a)^3+7/8/sinh(b*x+a)^2/cosh(b*x+a)^3+35/24/cosh(b*x+a)^3+35/8/cosh(b*x+a)-35/4*arctanh(exp(b*x+a)))","A"
48,1,81,65,0.216000," ","int(csch(b*x+a)^5*sech(b*x+a)^5,x)","-\frac{1}{4 b \sinh \left(b x +a \right)^{4} \cosh \left(b x +a \right)^{4}}+\frac{1}{b \sinh \left(b x +a \right)^{2} \cosh \left(b x +a \right)^{4}}+\frac{3}{2 b \cosh \left(b x +a \right)^{4}}+\frac{3}{b \cosh \left(b x +a \right)^{2}}+\frac{6 \ln \left(\tanh \left(b x +a \right)\right)}{b}"," ",0,"-1/4/b/sinh(b*x+a)^4/cosh(b*x+a)^4+1/b/sinh(b*x+a)^2/cosh(b*x+a)^4+3/2/b/cosh(b*x+a)^4+3/b/cosh(b*x+a)^2+6*ln(tanh(b*x+a))/b","A"
49,0,0,88,0.216000," ","int(sinh(b*x+a)^(7/2)/cosh(b*x+a)^(7/2),x)","\int \frac{\sinh^{\frac{7}{2}}\left(b x +a \right)}{\cosh \left(b x +a \right)^{\frac{7}{2}}}\, dx"," ",0,"int(sinh(b*x+a)^(7/2)/cosh(b*x+a)^(7/2),x)","F"
50,0,0,67,0.192000," ","int(sinh(b*x+a)^(5/2)/cosh(b*x+a)^(5/2),x)","\int \frac{\sinh^{\frac{5}{2}}\left(b x +a \right)}{\cosh \left(b x +a \right)^{\frac{5}{2}}}\, dx"," ",0,"int(sinh(b*x+a)^(5/2)/cosh(b*x+a)^(5/2),x)","F"
51,0,0,67,0.179000," ","int(sinh(b*x+a)^(3/2)/cosh(b*x+a)^(3/2),x)","\int \frac{\sinh^{\frac{3}{2}}\left(b x +a \right)}{\cosh \left(b x +a \right)^{\frac{3}{2}}}\, dx"," ",0,"int(sinh(b*x+a)^(3/2)/cosh(b*x+a)^(3/2),x)","F"
52,0,0,46,0.283000," ","int(sinh(b*x+a)^(1/2)/cosh(b*x+a)^(1/2),x)","\int \frac{\sqrt{\sinh}\left(b x +a \right)}{\sqrt{\cosh \left(b x +a \right)}}\, dx"," ",0,"int(sinh(b*x+a)^(1/2)/cosh(b*x+a)^(1/2),x)","F"
53,0,0,46,0.237000," ","int(cosh(b*x+a)^(1/2)/sinh(b*x+a)^(1/2),x)","\int \frac{\sqrt{\cosh}\left(b x +a \right)}{\sqrt{\sinh \left(b x +a \right)}}\, dx"," ",0,"int(cosh(b*x+a)^(1/2)/sinh(b*x+a)^(1/2),x)","F"
54,0,0,67,0.181000," ","int(cosh(b*x+a)^(3/2)/sinh(b*x+a)^(3/2),x)","\int \frac{\cosh^{\frac{3}{2}}\left(b x +a \right)}{\sinh \left(b x +a \right)^{\frac{3}{2}}}\, dx"," ",0,"int(cosh(b*x+a)^(3/2)/sinh(b*x+a)^(3/2),x)","F"
55,0,0,67,0.179000," ","int(cosh(b*x+a)^(5/2)/sinh(b*x+a)^(5/2),x)","\int \frac{\cosh^{\frac{5}{2}}\left(b x +a \right)}{\sinh \left(b x +a \right)^{\frac{5}{2}}}\, dx"," ",0,"int(cosh(b*x+a)^(5/2)/sinh(b*x+a)^(5/2),x)","F"
56,0,0,88,0.182000," ","int(cosh(b*x+a)^(7/2)/sinh(b*x+a)^(7/2),x)","\int \frac{\cosh^{\frac{7}{2}}\left(b x +a \right)}{\sinh \left(b x +a \right)^{\frac{7}{2}}}\, dx"," ",0,"int(cosh(b*x+a)^(7/2)/sinh(b*x+a)^(7/2),x)","F"
57,0,0,124,0.175000," ","int(sinh(b*x+a)^(7/3)/cosh(b*x+a)^(7/3),x)","\int \frac{\sinh^{\frac{7}{3}}\left(b x +a \right)}{\cosh \left(b x +a \right)^{\frac{7}{3}}}\, dx"," ",0,"int(sinh(b*x+a)^(7/3)/cosh(b*x+a)^(7/3),x)","F"
58,0,0,124,0.160000," ","int(sinh(b*x+a)^(5/3)/cosh(b*x+a)^(5/3),x)","\int \frac{\sinh^{\frac{5}{3}}\left(b x +a \right)}{\cosh \left(b x +a \right)^{\frac{5}{3}}}\, dx"," ",0,"int(sinh(b*x+a)^(5/3)/cosh(b*x+a)^(5/3),x)","F"
59,0,0,197,0.156000," ","int(sinh(b*x+a)^(4/3)/cosh(b*x+a)^(4/3),x)","\int \frac{\sinh^{\frac{4}{3}}\left(b x +a \right)}{\cosh \left(b x +a \right)^{\frac{4}{3}}}\, dx"," ",0,"int(sinh(b*x+a)^(4/3)/cosh(b*x+a)^(4/3),x)","F"
60,0,0,176,0.165000," ","int(sinh(b*x+a)^(2/3)/cosh(b*x+a)^(2/3),x)","\int \frac{\sinh^{\frac{2}{3}}\left(b x +a \right)}{\cosh \left(b x +a \right)^{\frac{2}{3}}}\, dx"," ",0,"int(sinh(b*x+a)^(2/3)/cosh(b*x+a)^(2/3),x)","F"
61,0,0,103,0.208000," ","int(sinh(b*x+a)^(1/3)/cosh(b*x+a)^(1/3),x)","\int \frac{\sinh^{\frac{1}{3}}\left(b x +a \right)}{\cosh \left(b x +a \right)^{\frac{1}{3}}}\, dx"," ",0,"int(sinh(b*x+a)^(1/3)/cosh(b*x+a)^(1/3),x)","F"
62,0,0,103,0.153000," ","int(cosh(b*x+a)^(1/3)/sinh(b*x+a)^(1/3),x)","\int \frac{\cosh^{\frac{1}{3}}\left(b x +a \right)}{\sinh \left(b x +a \right)^{\frac{1}{3}}}\, dx"," ",0,"int(cosh(b*x+a)^(1/3)/sinh(b*x+a)^(1/3),x)","F"
63,0,0,176,0.183000," ","int(cosh(b*x+a)^(2/3)/sinh(b*x+a)^(2/3),x)","\int \frac{\cosh^{\frac{2}{3}}\left(b x +a \right)}{\sinh \left(b x +a \right)^{\frac{2}{3}}}\, dx"," ",0,"int(cosh(b*x+a)^(2/3)/sinh(b*x+a)^(2/3),x)","F"
64,0,0,197,0.147000," ","int(cosh(b*x+a)^(4/3)/sinh(b*x+a)^(4/3),x)","\int \frac{\cosh^{\frac{4}{3}}\left(b x +a \right)}{\sinh \left(b x +a \right)^{\frac{4}{3}}}\, dx"," ",0,"int(cosh(b*x+a)^(4/3)/sinh(b*x+a)^(4/3),x)","F"
65,0,0,124,0.145000," ","int(cosh(b*x+a)^(5/3)/sinh(b*x+a)^(5/3),x)","\int \frac{\cosh^{\frac{5}{3}}\left(b x +a \right)}{\sinh \left(b x +a \right)^{\frac{5}{3}}}\, dx"," ",0,"int(cosh(b*x+a)^(5/3)/sinh(b*x+a)^(5/3),x)","F"
66,0,0,124,0.143000," ","int(cosh(b*x+a)^(7/3)/sinh(b*x+a)^(7/3),x)","\int \frac{\cosh^{\frac{7}{3}}\left(b x +a \right)}{\sinh \left(b x +a \right)^{\frac{7}{3}}}\, dx"," ",0,"int(cosh(b*x+a)^(7/3)/sinh(b*x+a)^(7/3),x)","F"
67,-2,0,10,180.000000," ","int(cosh(x)^(2/3)/sinh(x)^(8/3),x)","\int \frac{\cosh^{\frac{2}{3}}\left(x \right)}{\sinh \left(x \right)^{\frac{8}{3}}}\, dx"," ",0,"int(cosh(x)^(2/3)/sinh(x)^(8/3),x)","F"
68,-2,0,10,180.000000," ","int(sinh(x)^(2/3)/cosh(x)^(8/3),x)","\int \frac{\sinh^{\frac{2}{3}}\left(x \right)}{\cosh \left(x \right)^{\frac{8}{3}}}\, dx"," ",0,"int(sinh(x)^(2/3)/cosh(x)^(8/3),x)","F"
69,1,7,6,0.076000," ","int(cosh(x)*csch(x)^(7/3),x)","-\frac{3 \mathrm{csch}\left(x \right)^{\frac{4}{3}}}{4}"," ",0,"-3/4*csch(x)^(4/3)","A"
70,1,24,23,0.142000," ","int(sinh(b*x+a)*tanh(b*x+a),x)","\frac{\sinh \left(b x +a \right)}{b}-\frac{2 \arctan \left({\mathrm e}^{b x +a}\right)}{b}"," ",0,"sinh(b*x+a)/b-2*arctan(exp(b*x+a))/b","A"
71,1,33,21,0.127000," ","int(sinh(b*x+a)*tanh(b*x+a)^2,x)","\frac{\frac{\sinh^{2}\left(b x +a \right)}{\cosh \left(b x +a \right)}+\frac{2}{\cosh \left(b x +a \right)}}{b}"," ",0,"1/b*(sinh(b*x+a)^2/cosh(b*x+a)+2/cosh(b*x+a))","A"
72,1,70,43,0.309000," ","int(sinh(b*x+a)*tanh(b*x+a)^3,x)","\frac{\sinh^{3}\left(b x +a \right)}{b \cosh \left(b x +a \right)^{2}}+\frac{3 \sinh \left(b x +a \right)}{b \cosh \left(b x +a \right)^{2}}-\frac{3 \,\mathrm{sech}\left(b x +a \right) \tanh \left(b x +a \right)}{2 b}-\frac{3 \arctan \left({\mathrm e}^{b x +a}\right)}{b}"," ",0,"1/b*sinh(b*x+a)^3/cosh(b*x+a)^2+3/b*sinh(b*x+a)/cosh(b*x+a)^2-3/2*sech(b*x+a)*tanh(b*x+a)/b-3*arctan(exp(b*x+a))/b","A"
73,1,51,35,0.156000," ","int(sinh(b*x+a)*tanh(b*x+a)^4,x)","\frac{\frac{\sinh^{4}\left(b x +a \right)}{\cosh \left(b x +a \right)^{3}}+\frac{4 \left(\sinh^{2}\left(b x +a \right)\right)}{\cosh \left(b x +a \right)^{3}}+\frac{8}{3 \cosh \left(b x +a \right)^{3}}}{b}"," ",0,"1/b*(sinh(b*x+a)^4/cosh(b*x+a)^3+4*sinh(b*x+a)^2/cosh(b*x+a)^3+8/3/cosh(b*x+a)^3)","A"
74,1,27,26,0.139000," ","int(sinh(b*x+a)^2*tanh(b*x+a),x)","\frac{\sinh^{2}\left(b x +a \right)}{2 b}-\frac{\ln \left(\cosh \left(b x +a \right)\right)}{b}"," ",0,"1/2*sinh(b*x+a)^2/b-ln(cosh(b*x+a))/b","A"
75,1,39,34,0.122000," ","int(sinh(b*x+a)^2*tanh(b*x+a)^2,x)","\frac{\frac{\sinh^{3}\left(b x +a \right)}{2 \cosh \left(b x +a \right)}-\frac{3 b x}{2}-\frac{3 a}{2}+\frac{3 \tanh \left(b x +a \right)}{2}}{b}"," ",0,"1/b*(1/2*sinh(b*x+a)^3/cosh(b*x+a)-3/2*b*x-3/2*a+3/2*tanh(b*x+a))","A"
76,1,47,39,0.141000," ","int(sinh(b*x+a)^2*tanh(b*x+a)^3,x)","\frac{\sinh^{4}\left(b x +a \right)}{2 b \cosh \left(b x +a \right)^{2}}-\frac{2 \ln \left(\cosh \left(b x +a \right)\right)}{b}+\frac{\tanh^{2}\left(b x +a \right)}{b}"," ",0,"1/2/b*sinh(b*x+a)^4/cosh(b*x+a)^2-2*ln(cosh(b*x+a))/b+tanh(b*x+a)^2/b","A"
77,1,38,36,0.138000," ","int(sinh(b*x+a)^3*tanh(b*x+a),x)","\frac{\sinh^{3}\left(b x +a \right)}{3 b}-\frac{\sinh \left(b x +a \right)}{b}+\frac{2 \arctan \left({\mathrm e}^{b x +a}\right)}{b}"," ",0,"1/3*sinh(b*x+a)^3/b-sinh(b*x+a)/b+2*arctan(exp(b*x+a))/b","A"
78,1,52,36,0.110000," ","int(sinh(b*x+a)^3*tanh(b*x+a)^2,x)","\frac{\frac{\sinh^{4}\left(b x +a \right)}{3 \cosh \left(b x +a \right)}-\frac{4 \left(\sinh^{2}\left(b x +a \right)\right)}{3 \cosh \left(b x +a \right)}-\frac{8}{3 \cosh \left(b x +a \right)}}{b}"," ",0,"1/b*(1/3*sinh(b*x+a)^4/cosh(b*x+a)-4/3*sinh(b*x+a)^2/cosh(b*x+a)-8/3/cosh(b*x+a))","A"
79,1,92,58,0.336000," ","int(sinh(b*x+a)^3*tanh(b*x+a)^3,x)","\frac{\sinh^{5}\left(b x +a \right)}{3 b \cosh \left(b x +a \right)^{2}}-\frac{5 \left(\sinh^{3}\left(b x +a \right)\right)}{3 b \cosh \left(b x +a \right)^{2}}-\frac{5 \sinh \left(b x +a \right)}{b \cosh \left(b x +a \right)^{2}}+\frac{5 \,\mathrm{sech}\left(b x +a \right) \tanh \left(b x +a \right)}{2 b}+\frac{5 \arctan \left({\mathrm e}^{b x +a}\right)}{b}"," ",0,"1/3/b*sinh(b*x+a)^5/cosh(b*x+a)^2-5/3/b*sinh(b*x+a)^3/cosh(b*x+a)^2-5/b*sinh(b*x+a)/cosh(b*x+a)^2+5/2*sech(b*x+a)*tanh(b*x+a)/b+5*arctan(exp(b*x+a))/b","A"
80,1,39,38,0.137000," ","int(sinh(b*x+a)^4*tanh(b*x+a),x)","\frac{\sinh^{4}\left(b x +a \right)}{4 b}-\frac{\sinh^{2}\left(b x +a \right)}{2 b}+\frac{\ln \left(\cosh \left(b x +a \right)\right)}{b}"," ",0,"1/4*sinh(b*x+a)^4/b-1/2*sinh(b*x+a)^2/b+ln(cosh(b*x+a))/b","A"
81,1,12,11,0.082000," ","int(sech(b*x+a)*tanh(b*x+a),x)","-\frac{\mathrm{sech}\left(b x +a \right)}{b}"," ",0,"-sech(b*x+a)/b","A"
82,1,14,13,0.060000," ","int(sech(b*x+a)^2*tanh(b*x+a),x)","-\frac{\mathrm{sech}\left(b x +a \right)^{2}}{2 b}"," ",0,"-1/2*sech(b*x+a)^2/b","A"
83,1,17,16,0.100000," ","int(sech(b*x+a)^n*tanh(b*x+a),x)","-\frac{\mathrm{sech}\left(b x +a \right)^{n}}{b n}"," ",0,"-sech(b*x+a)^n/b/n","A"
84,1,42,13,0.321000," ","int(sech(b*x+a)^2*tanh(b*x+a)^2,x)","\frac{-\frac{\sinh \left(b x +a \right)}{2 \cosh \left(b x +a \right)^{3}}+\frac{\left(\frac{2}{3}+\frac{\mathrm{sech}\left(b x +a \right)^{2}}{3}\right) \tanh \left(b x +a \right)}{2}}{b}"," ",0,"1/b*(-1/2*sinh(b*x+a)/cosh(b*x+a)^3+1/2*(2/3+1/3*sech(b*x+a)^2)*tanh(b*x+a))","B"
85,1,34,13,0.144000," ","int(sech(b*x+a)^2*tanh(b*x+a)^3,x)","\frac{-\frac{\sinh^{2}\left(b x +a \right)}{2 \cosh \left(b x +a \right)^{4}}-\frac{1}{4 \cosh \left(b x +a \right)^{4}}}{b}"," ",0,"1/b*(-1/2/cosh(b*x+a)^4*sinh(b*x+a)^2-1/4/cosh(b*x+a)^4)","B"
86,1,20,19,0.160000," ","int(sech(b*x+a)^2*tanh(b*x+a)^n,x)","\frac{\tanh^{n +1}\left(b x +a \right)}{b \left(n +1\right)}"," ",0,"tanh(b*x+a)^(n+1)/b/(n+1)","A"
87,1,34,25,0.156000," ","int(sech(b*x+a)*tanh(b*x+a)^3,x)","\frac{-\frac{\sinh^{2}\left(b x +a \right)}{\cosh \left(b x +a \right)^{3}}-\frac{2}{3 \cosh \left(b x +a \right)^{3}}}{b}"," ",0,"1/b*(-sinh(b*x+a)^2/cosh(b*x+a)^3-2/3/cosh(b*x+a)^3)","A"
88,1,34,27,0.131000," ","int(sech(b*x+a)^3*tanh(b*x+a)^3,x)","\frac{-\frac{\sinh^{2}\left(b x +a \right)}{3 \cosh \left(b x +a \right)^{5}}-\frac{2}{15 \cosh \left(b x +a \right)^{5}}}{b}"," ",0,"1/b*(-1/3*sinh(b*x+a)^2/cosh(b*x+a)^5-2/15/cosh(b*x+a)^5)","A"
89,1,275,36,0.449000," ","int(sech(b*x+a)^n*tanh(b*x+a)^3,x)","-\frac{\left(n \,{\mathrm e}^{4 b x +4 a}+2 \,{\mathrm e}^{4 b x +4 a}-2 \,{\mathrm e}^{2 b x +2 a} n +4 \,{\mathrm e}^{2 b x +2 a}+n +2\right) {\mathrm e}^{\frac{n \left(-i \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{b x +a}}{1+{\mathrm e}^{2 b x +2 a}}\right)^{3}+i \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{b x +a}}{1+{\mathrm e}^{2 b x +2 a}}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{b x +a}\right)+i \pi  \mathrm{csgn}\left(\frac{i {\mathrm e}^{b x +a}}{1+{\mathrm e}^{2 b x +2 a}}\right)^{2} \mathrm{csgn}\left(\frac{i}{1+{\mathrm e}^{2 b x +2 a}}\right)-i \pi  \,\mathrm{csgn}\left(\frac{i {\mathrm e}^{b x +a}}{1+{\mathrm e}^{2 b x +2 a}}\right) \mathrm{csgn}\left(i {\mathrm e}^{b x +a}\right) \mathrm{csgn}\left(\frac{i}{1+{\mathrm e}^{2 b x +2 a}}\right)-2 \ln \left(1+{\mathrm e}^{2 b x +2 a}\right)+2 \ln \left(2\right)+2 \ln \left({\mathrm e}^{b x +a}\right)\right)}{2}}}{b n \left(n +2\right) \left(1+{\mathrm e}^{2 b x +2 a}\right)^{2}}"," ",0,"-(n*exp(4*b*x+4*a)+2*exp(4*b*x+4*a)-2*exp(2*b*x+2*a)*n+4*exp(2*b*x+2*a)+n+2)/b/n/(n+2)/(1+exp(2*b*x+2*a))^2*exp(1/2*n*(-I*Pi*csgn(I*exp(b*x+a)/(1+exp(2*b*x+2*a)))^3+I*Pi*csgn(I*exp(b*x+a)/(1+exp(2*b*x+2*a)))^2*csgn(I*exp(b*x+a))+I*Pi*csgn(I*exp(b*x+a)/(1+exp(2*b*x+2*a)))^2*csgn(I/(1+exp(2*b*x+2*a)))-I*Pi*csgn(I*exp(b*x+a)/(1+exp(2*b*x+2*a)))*csgn(I*exp(b*x+a))*csgn(I/(1+exp(2*b*x+2*a)))-2*ln(1+exp(2*b*x+2*a))+2*ln(2)+2*ln(exp(b*x+a))))","C"
90,1,52,27,0.325000," ","int(sech(b*x+a)^4*tanh(b*x+a)^2,x)","\frac{-\frac{\sinh \left(b x +a \right)}{4 \cosh \left(b x +a \right)^{5}}+\frac{\left(\frac{8}{15}+\frac{\mathrm{sech}\left(b x +a \right)^{4}}{5}+\frac{4 \mathrm{sech}\left(b x +a \right)^{2}}{15}\right) \tanh \left(b x +a \right)}{4}}{b}"," ",0,"1/b*(-1/4*sinh(b*x+a)/cosh(b*x+a)^5+1/4*(8/15+1/5*sech(b*x+a)^4+4/15*sech(b*x+a)^2)*tanh(b*x+a))","A"
91,0,0,27,0.714000," ","int(sech(b*x+a)^4*tanh(b*x+a)^(1/2),x)","\int \mathrm{sech}\left(b x +a \right)^{4} \left(\sqrt{\tanh}\left(b x +a \right)\right)\, dx"," ",0,"int(sech(b*x+a)^4*tanh(b*x+a)^(1/2),x)","F"
92,1,535,40,0.690000," ","int(sech(b*x+a)^4*tanh(b*x+a)^n,x)","\frac{2 \left({\mathrm e}^{6 b x +6 a}+2 n \,{\mathrm e}^{4 b x +4 a}+3 \,{\mathrm e}^{4 b x +4 a}-2 \,{\mathrm e}^{2 b x +2 a} n -3 \,{\mathrm e}^{2 b x +2 a}-1\right) {\mathrm e}^{\frac{n \left(-i \pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{b x +a}-1\right)}{1+{\mathrm e}^{2 b x +2 a}}\right)^{3}+i \pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{b x +a}-1\right)}{1+{\mathrm e}^{2 b x +2 a}}\right)^{2} \mathrm{csgn}\left(i \left({\mathrm e}^{b x +a}-1\right)\right)+i \pi  \mathrm{csgn}\left(\frac{i \left({\mathrm e}^{b x +a}-1\right)}{1+{\mathrm e}^{2 b x +2 a}}\right)^{2} \mathrm{csgn}\left(\frac{i}{1+{\mathrm e}^{2 b x +2 a}}\right)-i \pi  \,\mathrm{csgn}\left(\frac{i \left({\mathrm e}^{b x +a}-1\right)}{1+{\mathrm e}^{2 b x +2 a}}\right) \mathrm{csgn}\left(i \left({\mathrm e}^{b x +a}-1\right)\right) \mathrm{csgn}\left(\frac{i}{1+{\mathrm e}^{2 b x +2 a}}\right)+i \pi  \,\mathrm{csgn}\left(\frac{i \left({\mathrm e}^{b x +a}-1\right)}{1+{\mathrm e}^{2 b x +2 a}}\right) \mathrm{csgn}\left(\frac{i \left(1+{\mathrm e}^{b x +a}\right) \left({\mathrm e}^{b x +a}-1\right)}{1+{\mathrm e}^{2 b x +2 a}}\right)^{2}-i \pi  \,\mathrm{csgn}\left(\frac{i \left({\mathrm e}^{b x +a}-1\right)}{1+{\mathrm e}^{2 b x +2 a}}\right) \mathrm{csgn}\left(\frac{i \left(1+{\mathrm e}^{b x +a}\right) \left({\mathrm e}^{b x +a}-1\right)}{1+{\mathrm e}^{2 b x +2 a}}\right) \mathrm{csgn}\left(i \left(1+{\mathrm e}^{b x +a}\right)\right)-i \pi  \mathrm{csgn}\left(\frac{i \left(1+{\mathrm e}^{b x +a}\right) \left({\mathrm e}^{b x +a}-1\right)}{1+{\mathrm e}^{2 b x +2 a}}\right)^{3}+i \pi  \mathrm{csgn}\left(\frac{i \left(1+{\mathrm e}^{b x +a}\right) \left({\mathrm e}^{b x +a}-1\right)}{1+{\mathrm e}^{2 b x +2 a}}\right)^{2} \mathrm{csgn}\left(i \left(1+{\mathrm e}^{b x +a}\right)\right)+2 \ln \left({\mathrm e}^{b x +a}-1\right)-2 \ln \left(1+{\mathrm e}^{2 b x +2 a}\right)+2 \ln \left(1+{\mathrm e}^{b x +a}\right)\right)}{2}}}{b \left(n +1\right) \left(n +3\right) \left(1+{\mathrm e}^{2 b x +2 a}\right)^{3}}"," ",0,"2*(exp(6*b*x+6*a)+2*n*exp(4*b*x+4*a)+3*exp(4*b*x+4*a)-2*exp(2*b*x+2*a)*n-3*exp(2*b*x+2*a)-1)/b/(n+1)/(n+3)/(1+exp(2*b*x+2*a))^3*exp(1/2*n*(-I*Pi*csgn(I*(exp(b*x+a)-1)/(1+exp(2*b*x+2*a)))^3+I*Pi*csgn(I*(exp(b*x+a)-1)/(1+exp(2*b*x+2*a)))^2*csgn(I*(exp(b*x+a)-1))+I*Pi*csgn(I*(exp(b*x+a)-1)/(1+exp(2*b*x+2*a)))^2*csgn(I/(1+exp(2*b*x+2*a)))-I*Pi*csgn(I*(exp(b*x+a)-1)/(1+exp(2*b*x+2*a)))*csgn(I*(exp(b*x+a)-1))*csgn(I/(1+exp(2*b*x+2*a)))+I*Pi*csgn(I*(exp(b*x+a)-1)/(1+exp(2*b*x+2*a)))*csgn(I*(1+exp(b*x+a))/(1+exp(2*b*x+2*a))*(exp(b*x+a)-1))^2-I*Pi*csgn(I*(exp(b*x+a)-1)/(1+exp(2*b*x+2*a)))*csgn(I*(1+exp(b*x+a))/(1+exp(2*b*x+2*a))*(exp(b*x+a)-1))*csgn(I*(1+exp(b*x+a)))-I*Pi*csgn(I*(1+exp(b*x+a))/(1+exp(2*b*x+2*a))*(exp(b*x+a)-1))^3+I*Pi*csgn(I*(1+exp(b*x+a))/(1+exp(2*b*x+2*a))*(exp(b*x+a)-1))^2*csgn(I*(1+exp(b*x+a)))+2*ln(exp(b*x+a)-1)-2*ln(1+exp(2*b*x+2*a))+2*ln(1+exp(b*x+a))))","C"
93,1,49,30,0.342000," ","int(sech(b*x+a)*tanh(b*x+a)^2,x)","-\frac{\sinh \left(b x +a \right)}{b \cosh \left(b x +a \right)^{2}}+\frac{\mathrm{sech}\left(b x +a \right) \tanh \left(b x +a \right)}{2 b}+\frac{\arctan \left({\mathrm e}^{b x +a}\right)}{b}"," ",0,"-1/b*sinh(b*x+a)/cosh(b*x+a)^2+1/2*sech(b*x+a)*tanh(b*x+a)/b+arctan(exp(b*x+a))/b","A"
94,1,90,49,0.330000," ","int(sech(b*x+a)*tanh(b*x+a)^4,x)","-\frac{\sinh^{3}\left(b x +a \right)}{b \cosh \left(b x +a \right)^{4}}-\frac{\sinh \left(b x +a \right)}{b \cosh \left(b x +a \right)^{4}}+\frac{\mathrm{sech}\left(b x +a \right)^{3} \tanh \left(b x +a \right)}{4 b}+\frac{3 \,\mathrm{sech}\left(b x +a \right) \tanh \left(b x +a \right)}{8 b}+\frac{3 \arctan \left({\mathrm e}^{b x +a}\right)}{4 b}"," ",0,"-1/b*sinh(b*x+a)^3/cosh(b*x+a)^4-1/b*sinh(b*x+a)/cosh(b*x+a)^4+1/4*sech(b*x+a)^3*tanh(b*x+a)/b+3/8*sech(b*x+a)*tanh(b*x+a)/b+3/4*arctan(exp(b*x+a))/b","A"
95,1,69,49,0.309000," ","int(sech(b*x+a)^3*tanh(b*x+a)^2,x)","-\frac{\sinh \left(b x +a \right)}{3 b \cosh \left(b x +a \right)^{4}}+\frac{\mathrm{sech}\left(b x +a \right)^{3} \tanh \left(b x +a \right)}{12 b}+\frac{\mathrm{sech}\left(b x +a \right) \tanh \left(b x +a \right)}{8 b}+\frac{\arctan \left({\mathrm e}^{b x +a}\right)}{4 b}"," ",0,"-1/3/b*sinh(b*x+a)/cosh(b*x+a)^4+1/12*sech(b*x+a)^3*tanh(b*x+a)/b+1/8*sech(b*x+a)*tanh(b*x+a)/b+1/4*arctan(exp(b*x+a))/b","A"
96,1,28,17,0.077000," ","int(sech(x)*tanh(x)^5,x)","-\frac{\sinh^{4}\left(x \right)}{\cosh \left(x \right)^{5}}-\frac{4 \left(\sinh^{2}\left(x \right)\right)}{3 \cosh \left(x \right)^{5}}-\frac{8}{15 \cosh \left(x \right)^{5}}"," ",0,"-sinh(x)^4/cosh(x)^5-4/3*sinh(x)^2/cosh(x)^5-8/15/cosh(x)^5","A"
97,1,28,19,0.098000," ","int(sech(x)^7*tanh(x)^5,x)","-\frac{\sinh^{4}\left(x \right)}{7 \cosh \left(x \right)^{11}}-\frac{4 \left(\sinh^{2}\left(x \right)\right)}{63 \cosh \left(x \right)^{11}}-\frac{8}{693 \cosh \left(x \right)^{11}}"," ",0,"-1/7*sinh(x)^4/cosh(x)^11-4/63*sinh(x)^2/cosh(x)^11-8/693/cosh(x)^11","A"
98,1,46,30,0.328000," ","int(sech(x)^3*tanh(x)^4,x)","-\frac{\sinh^{3}\left(x \right)}{3 \cosh \left(x \right)^{6}}-\frac{\sinh \left(x \right)}{5 \cosh \left(x \right)^{6}}+\frac{\left(\frac{\mathrm{sech}\left(x \right)^{5}}{6}+\frac{5 \mathrm{sech}\left(x \right)^{3}}{24}+\frac{5 \,\mathrm{sech}\left(x \right)}{16}\right) \tanh \left(x \right)}{5}+\frac{\arctan \left({\mathrm e}^{x}\right)}{8}"," ",0,"-1/3*sinh(x)^3/cosh(x)^6-1/5*sinh(x)/cosh(x)^6+1/5*(1/6*sech(x)^5+5/24*sech(x)^3+5/16*sech(x))*tanh(x)+1/8*arctan(exp(x))","A"
99,1,36,28,0.332000," ","int(sech(x)^5*tanh(x)^2,x)","-\frac{\sinh \left(x \right)}{5 \cosh \left(x \right)^{6}}+\frac{\left(\frac{\mathrm{sech}\left(x \right)^{5}}{6}+\frac{5 \mathrm{sech}\left(x \right)^{3}}{24}+\frac{5 \,\mathrm{sech}\left(x \right)}{16}\right) \tanh \left(x \right)}{5}+\frac{\arctan \left({\mathrm e}^{x}\right)}{8}"," ",0,"-1/5*sinh(x)/cosh(x)^6+1/5*(1/6*sech(x)^5+5/24*sech(x)^3+5/16*sech(x))*tanh(x)+1/8*arctan(exp(x))","A"
100,1,72,25,0.299000," ","int(sech(x)^8*tanh(x)^6,x)","-\frac{\sinh^{5}\left(x \right)}{8 \cosh \left(x \right)^{13}}-\frac{\sinh^{3}\left(x \right)}{16 \cosh \left(x \right)^{13}}-\frac{\sinh \left(x \right)}{64 \cosh \left(x \right)^{13}}+\frac{\left(\frac{1024}{3003}+\frac{\mathrm{sech}\left(x \right)^{12}}{13}+\frac{12 \mathrm{sech}\left(x \right)^{10}}{143}+\frac{40 \mathrm{sech}\left(x \right)^{8}}{429}+\frac{320 \mathrm{sech}\left(x \right)^{6}}{3003}+\frac{128 \mathrm{sech}\left(x \right)^{4}}{1001}+\frac{512 \mathrm{sech}\left(x \right)^{2}}{3003}\right) \tanh \left(x \right)}{64}"," ",0,"-1/8*sinh(x)^5/cosh(x)^13-1/16*sinh(x)^3/cosh(x)^13-1/64*sinh(x)/cosh(x)^13+1/64*(1024/3003+1/13*sech(x)^12+12/143*sech(x)^10+40/429*sech(x)^8+320/3003*sech(x)^6+128/1001*sech(x)^4+512/3003*sech(x)^2)*tanh(x)","B"
101,1,21,23,0.109000," ","int(cosh(b*x+a)*coth(b*x+a),x)","\frac{\cosh \left(b x +a \right)-2 \arctanh \left({\mathrm e}^{b x +a}\right)}{b}"," ",0,"1/b*(cosh(b*x+a)-2*arctanh(exp(b*x+a)))","A"
102,1,33,22,0.126000," ","int(cosh(b*x+a)*coth(b*x+a)^2,x)","\frac{\frac{\cosh^{2}\left(b x +a \right)}{\sinh \left(b x +a \right)}-\frac{2}{\sinh \left(b x +a \right)}}{b}"," ",0,"1/b*(cosh(b*x+a)^2/sinh(b*x+a)-2/sinh(b*x+a))","A"
103,1,62,43,0.312000," ","int(cosh(b*x+a)*coth(b*x+a)^3,x)","\frac{\frac{\cosh^{3}\left(b x +a \right)}{\sinh \left(b x +a \right)^{2}}-\frac{3 \cosh \left(b x +a \right)}{\sinh \left(b x +a \right)^{2}}+\frac{3 \,\mathrm{csch}\left(b x +a \right) \coth \left(b x +a \right)}{2}-3 \arctanh \left({\mathrm e}^{b x +a}\right)}{b}"," ",0,"1/b*(cosh(b*x+a)^3/sinh(b*x+a)^2-3/sinh(b*x+a)^2*cosh(b*x+a)+3/2*csch(b*x+a)*coth(b*x+a)-3*arctanh(exp(b*x+a)))","A"
104,1,51,35,0.147000," ","int(cosh(b*x+a)*coth(b*x+a)^4,x)","\frac{\frac{\cosh^{4}\left(b x +a \right)}{\sinh \left(b x +a \right)^{3}}-\frac{4 \left(\cosh^{2}\left(b x +a \right)\right)}{\sinh \left(b x +a \right)^{3}}+\frac{8}{3 \sinh \left(b x +a \right)^{3}}}{b}"," ",0,"1/b*(cosh(b*x+a)^4/sinh(b*x+a)^3-4/sinh(b*x+a)^3*cosh(b*x+a)^2+8/3/sinh(b*x+a)^3)","A"
105,1,26,25,0.109000," ","int(cosh(b*x+a)^2*coth(b*x+a),x)","\frac{\cosh^{2}\left(b x +a \right)}{2 b}+\frac{\ln \left(\sinh \left(b x +a \right)\right)}{b}"," ",0,"1/2*cosh(b*x+a)^2/b+ln(sinh(b*x+a))/b","A"
106,1,39,34,0.112000," ","int(cosh(b*x+a)^2*coth(b*x+a)^2,x)","\frac{\frac{\cosh^{3}\left(b x +a \right)}{2 \sinh \left(b x +a \right)}+\frac{3 b x}{2}+\frac{3 a}{2}-\frac{3 \coth \left(b x +a \right)}{2}}{b}"," ",0,"1/b*(1/2*cosh(b*x+a)^3/sinh(b*x+a)+3/2*b*x+3/2*a-3/2*coth(b*x+a))","A"
107,1,48,39,0.174000," ","int(cosh(b*x+a)^2*coth(b*x+a)^3,x)","\frac{\cosh^{4}\left(b x +a \right)}{2 b \sinh \left(b x +a \right)^{2}}+\frac{2 \ln \left(\sinh \left(b x +a \right)\right)}{b}-\frac{\coth^{2}\left(b x +a \right)}{b}"," ",0,"1/2/b*cosh(b*x+a)^4/sinh(b*x+a)^2+2*ln(sinh(b*x+a))/b-coth(b*x+a)^2/b","A"
108,1,31,36,0.117000," ","int(cosh(b*x+a)^3*coth(b*x+a),x)","\frac{\frac{\left(\cosh^{3}\left(b x +a \right)\right)}{3}+\cosh \left(b x +a \right)-2 \arctanh \left({\mathrm e}^{b x +a}\right)}{b}"," ",0,"1/b*(1/3*cosh(b*x+a)^3+cosh(b*x+a)-2*arctanh(exp(b*x+a)))","A"
109,1,52,36,0.112000," ","int(cosh(b*x+a)^3*coth(b*x+a)^2,x)","\frac{\frac{\cosh^{4}\left(b x +a \right)}{3 \sinh \left(b x +a \right)}+\frac{4 \left(\cosh^{2}\left(b x +a \right)\right)}{3 \sinh \left(b x +a \right)}-\frac{8}{3 \sinh \left(b x +a \right)}}{b}"," ",0,"1/b*(1/3*cosh(b*x+a)^4/sinh(b*x+a)+4/3*cosh(b*x+a)^2/sinh(b*x+a)-8/3/sinh(b*x+a))","A"
110,1,81,58,0.344000," ","int(cosh(b*x+a)^3*coth(b*x+a)^3,x)","\frac{\frac{\cosh^{5}\left(b x +a \right)}{3 \sinh \left(b x +a \right)^{2}}+\frac{5 \left(\cosh^{3}\left(b x +a \right)\right)}{3 \sinh \left(b x +a \right)^{2}}-\frac{5 \cosh \left(b x +a \right)}{\sinh \left(b x +a \right)^{2}}+\frac{5 \,\mathrm{csch}\left(b x +a \right) \coth \left(b x +a \right)}{2}-5 \arctanh \left({\mathrm e}^{b x +a}\right)}{b}"," ",0,"1/b*(1/3*cosh(b*x+a)^5/sinh(b*x+a)^2+5/3*cosh(b*x+a)^3/sinh(b*x+a)^2-5/sinh(b*x+a)^2*cosh(b*x+a)+5/2*csch(b*x+a)*coth(b*x+a)-5*arctanh(exp(b*x+a)))","A"
111,1,39,37,0.116000," ","int(cosh(b*x+a)^4*coth(b*x+a),x)","\frac{\cosh^{4}\left(b x +a \right)}{4 b}+\frac{\cosh^{2}\left(b x +a \right)}{2 b}+\frac{\ln \left(\sinh \left(b x +a \right)\right)}{b}"," ",0,"1/4*cosh(b*x+a)^4/b+1/2*cosh(b*x+a)^2/b+ln(sinh(b*x+a))/b","A"
112,1,12,11,0.110000," ","int(csch(b*x+a)*coth(b*x+a),x)","-\frac{\mathrm{csch}\left(b x +a \right)}{b}"," ",0,"-csch(b*x+a)/b","A"
113,1,14,13,0.138000," ","int(coth(b*x+a)*csch(b*x+a)^2,x)","-\frac{\mathrm{csch}\left(b x +a \right)^{2}}{2 b}"," ",0,"-1/2*csch(b*x+a)^2/b","A"
114,1,17,16,0.099000," ","int(coth(b*x+a)*csch(b*x+a)^n,x)","-\frac{\mathrm{csch}\left(b x +a \right)^{n}}{b n}"," ",0,"-csch(b*x+a)^n/b/n","A"
115,1,42,13,0.341000," ","int(coth(b*x+a)^2*csch(b*x+a)^2,x)","\frac{-\frac{\cosh \left(b x +a \right)}{2 \sinh \left(b x +a \right)^{3}}-\frac{\left(\frac{2}{3}-\frac{\mathrm{csch}\left(b x +a \right)^{2}}{3}\right) \coth \left(b x +a \right)}{2}}{b}"," ",0,"1/b*(-1/2/sinh(b*x+a)^3*cosh(b*x+a)-1/2*(2/3-1/3*csch(b*x+a)^2)*coth(b*x+a))","B"
116,1,34,13,0.159000," ","int(coth(b*x+a)^3*csch(b*x+a)^2,x)","\frac{-\frac{\cosh^{2}\left(b x +a \right)}{2 \sinh \left(b x +a \right)^{4}}+\frac{1}{4 \sinh \left(b x +a \right)^{4}}}{b}"," ",0,"1/b*(-1/2*cosh(b*x+a)^2/sinh(b*x+a)^4+1/4/sinh(b*x+a)^4)","B"
117,1,21,20,0.152000," ","int(coth(b*x+a)^n*csch(b*x+a)^2,x)","-\frac{\coth^{n +1}\left(b x +a \right)}{b \left(n +1\right)}"," ",0,"-coth(b*x+a)^(n+1)/b/(n+1)","A"
118,1,34,25,0.178000," ","int(coth(b*x+a)^3*csch(b*x+a),x)","\frac{-\frac{\cosh^{2}\left(b x +a \right)}{\sinh \left(b x +a \right)^{3}}+\frac{2}{3 \sinh \left(b x +a \right)^{3}}}{b}"," ",0,"1/b*(-1/sinh(b*x+a)^3*cosh(b*x+a)^2+2/3/sinh(b*x+a)^3)","A"
119,1,34,27,0.158000," ","int(coth(b*x+a)^3*csch(b*x+a)^3,x)","\frac{-\frac{\cosh^{2}\left(b x +a \right)}{3 \sinh \left(b x +a \right)^{5}}+\frac{2}{15 \sinh \left(b x +a \right)^{5}}}{b}"," ",0,"1/b*(-1/3/sinh(b*x+a)^5*cosh(b*x+a)^2+2/15/sinh(b*x+a)^5)","A"
120,1,499,37,0.499000," ","int(coth(b*x+a)^3*csch(b*x+a)^n,x)","-\frac{\left(n \,{\mathrm e}^{4 b x +4 a}+2 \,{\mathrm e}^{4 b x +4 a}+2 \,{\mathrm e}^{2 b x +2 a} n -4 \,{\mathrm e}^{2 b x +2 a}+n +2\right) {\mathrm e}^{\frac{n \left(-i \mathrm{csgn}\left(\frac{i}{\left(1+{\mathrm e}^{b x +a}\right) \left({\mathrm e}^{b x +a}-1\right)}\right)^{3} \pi +i \mathrm{csgn}\left(\frac{i}{\left(1+{\mathrm e}^{b x +a}\right) \left({\mathrm e}^{b x +a}-1\right)}\right)^{2} \mathrm{csgn}\left(\frac{i}{1+{\mathrm e}^{b x +a}}\right) \pi +i \mathrm{csgn}\left(\frac{i}{\left(1+{\mathrm e}^{b x +a}\right) \left({\mathrm e}^{b x +a}-1\right)}\right)^{2} \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{b x +a}-1}\right) \pi -i \mathrm{csgn}\left(\frac{i}{\left(1+{\mathrm e}^{b x +a}\right) \left({\mathrm e}^{b x +a}-1\right)}\right) \mathrm{csgn}\left(\frac{i}{1+{\mathrm e}^{b x +a}}\right) \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{b x +a}-1}\right) \pi +i \mathrm{csgn}\left(\frac{i}{\left(1+{\mathrm e}^{b x +a}\right) \left({\mathrm e}^{b x +a}-1\right)}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{b x +a}}{\left(1+{\mathrm e}^{b x +a}\right) \left({\mathrm e}^{b x +a}-1\right)}\right)^{2} \pi -i \mathrm{csgn}\left(\frac{i}{\left(1+{\mathrm e}^{b x +a}\right) \left({\mathrm e}^{b x +a}-1\right)}\right) \mathrm{csgn}\left(\frac{i {\mathrm e}^{b x +a}}{\left(1+{\mathrm e}^{b x +a}\right) \left({\mathrm e}^{b x +a}-1\right)}\right) \mathrm{csgn}\left(i {\mathrm e}^{b x +a}\right) \pi -i \mathrm{csgn}\left(\frac{i {\mathrm e}^{b x +a}}{\left(1+{\mathrm e}^{b x +a}\right) \left({\mathrm e}^{b x +a}-1\right)}\right)^{3} \pi +i \mathrm{csgn}\left(\frac{i {\mathrm e}^{b x +a}}{\left(1+{\mathrm e}^{b x +a}\right) \left({\mathrm e}^{b x +a}-1\right)}\right)^{2} \mathrm{csgn}\left(i {\mathrm e}^{b x +a}\right) \pi +2 \ln \left({\mathrm e}^{b x +a}\right)-2 \ln \left({\mathrm e}^{b x +a}-1\right)+2 \ln \left(2\right)-2 \ln \left(1+{\mathrm e}^{b x +a}\right)\right)}{2}}}{b n \left(n +2\right) \left({\mathrm e}^{2 b x +2 a}-1\right)^{2}}"," ",0,"-(n*exp(4*b*x+4*a)+2*exp(4*b*x+4*a)+2*exp(2*b*x+2*a)*n-4*exp(2*b*x+2*a)+n+2)/b/n/(n+2)/(exp(2*b*x+2*a)-1)^2*exp(1/2*n*(-I*csgn(I/(1+exp(b*x+a))/(exp(b*x+a)-1))^3*Pi+I*csgn(I/(1+exp(b*x+a))/(exp(b*x+a)-1))^2*csgn(I/(1+exp(b*x+a)))*Pi+I*csgn(I/(1+exp(b*x+a))/(exp(b*x+a)-1))^2*csgn(I/(exp(b*x+a)-1))*Pi-I*csgn(I/(1+exp(b*x+a))/(exp(b*x+a)-1))*csgn(I/(1+exp(b*x+a)))*csgn(I/(exp(b*x+a)-1))*Pi+I*csgn(I/(1+exp(b*x+a))/(exp(b*x+a)-1))*csgn(I*exp(b*x+a)/(1+exp(b*x+a))/(exp(b*x+a)-1))^2*Pi-I*csgn(I/(1+exp(b*x+a))/(exp(b*x+a)-1))*csgn(I*exp(b*x+a)/(1+exp(b*x+a))/(exp(b*x+a)-1))*csgn(I*exp(b*x+a))*Pi-I*csgn(I*exp(b*x+a)/(1+exp(b*x+a))/(exp(b*x+a)-1))^3*Pi+I*csgn(I*exp(b*x+a)/(1+exp(b*x+a))/(exp(b*x+a)-1))^2*csgn(I*exp(b*x+a))*Pi+2*ln(exp(b*x+a))-2*ln(exp(b*x+a)-1)+2*ln(2)-2*ln(1+exp(b*x+a))))","C"
121,1,45,30,0.310000," ","int(coth(b*x+a)^2*csch(b*x+a),x)","\frac{-\frac{\cosh \left(b x +a \right)}{\sinh \left(b x +a \right)^{2}}+\frac{\mathrm{csch}\left(b x +a \right) \coth \left(b x +a \right)}{2}-\arctanh \left({\mathrm e}^{b x +a}\right)}{b}"," ",0,"1/b*(-1/sinh(b*x+a)^2*cosh(b*x+a)+1/2*csch(b*x+a)*coth(b*x+a)-arctanh(exp(b*x+a)))","A"
122,1,58,49,0.337000," ","int(coth(b*x+a)^2*csch(b*x+a)^3,x)","\frac{-\frac{\cosh \left(b x +a \right)}{3 \sinh \left(b x +a \right)^{4}}-\frac{\left(-\frac{\mathrm{csch}\left(b x +a \right)^{3}}{4}+\frac{3 \,\mathrm{csch}\left(b x +a \right)}{8}\right) \coth \left(b x +a \right)}{3}+\frac{\arctanh \left({\mathrm e}^{b x +a}\right)}{4}}{b}"," ",0,"1/b*(-1/3/sinh(b*x+a)^4*cosh(b*x+a)-1/3*(-1/4*csch(b*x+a)^3+3/8*csch(b*x+a))*coth(b*x+a)+1/4*arctanh(exp(b*x+a)))","A"
123,1,74,49,0.344000," ","int(coth(b*x+a)^4*csch(b*x+a),x)","\frac{-\frac{\cosh^{3}\left(b x +a \right)}{\sinh \left(b x +a \right)^{4}}+\frac{\cosh \left(b x +a \right)}{\sinh \left(b x +a \right)^{4}}+\left(-\frac{\mathrm{csch}\left(b x +a \right)^{3}}{4}+\frac{3 \,\mathrm{csch}\left(b x +a \right)}{8}\right) \coth \left(b x +a \right)-\frac{3 \arctanh \left({\mathrm e}^{b x +a}\right)}{4}}{b}"," ",0,"1/b*(-1/sinh(b*x+a)^4*cosh(b*x+a)^3+1/sinh(b*x+a)^4*cosh(b*x+a)+(-1/4*csch(b*x+a)^3+3/8*csch(b*x+a))*coth(b*x+a)-3/4*arctanh(exp(b*x+a)))","A"
124,1,28,13,0.336000," ","int(coth(x)^2*csch(x)^4,x)","-\frac{\cosh \left(x \right)}{4 \sinh \left(x \right)^{5}}-\frac{\left(-\frac{8}{15}-\frac{\mathrm{csch}\left(x \right)^{4}}{5}+\frac{4 \mathrm{csch}\left(x \right)^{2}}{15}\right) \coth \left(x \right)}{4}"," ",0,"-1/4/sinh(x)^5*cosh(x)-1/4*(-8/15-1/5*csch(x)^4+4/15*csch(x)^2)*coth(x)","B"
125,1,18,13,0.095000," ","int(coth(x)^3*csch(x)^4,x)","-\frac{\cosh^{2}\left(x \right)}{4 \sinh \left(x \right)^{6}}+\frac{1}{12 \sinh \left(x \right)^{6}}"," ",0,"-1/4*cosh(x)^2/sinh(x)^6+1/12/sinh(x)^6","A"
126,1,371,26,0.535000," ","int(coth(x)^n*csch(x)^4,x)","-\frac{2 \left(-{\mathrm e}^{6 x}+2 n \,{\mathrm e}^{4 x}+3 \,{\mathrm e}^{4 x}+2 n \,{\mathrm e}^{2 x}+3 \,{\mathrm e}^{2 x}-1\right) {\mathrm e}^{\frac{n \left(-i \pi  \mathrm{csgn}\left(\frac{i \left(1+{\mathrm e}^{2 x}\right)}{{\mathrm e}^{x}-1}\right)^{3}+i \pi  \mathrm{csgn}\left(\frac{i \left(1+{\mathrm e}^{2 x}\right)}{{\mathrm e}^{x}-1}\right)^{2} \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{x}-1}\right)+i \pi  \mathrm{csgn}\left(\frac{i \left(1+{\mathrm e}^{2 x}\right)}{{\mathrm e}^{x}-1}\right)^{2} \mathrm{csgn}\left(i \left(1+{\mathrm e}^{2 x}\right)\right)-i \pi  \,\mathrm{csgn}\left(\frac{i \left(1+{\mathrm e}^{2 x}\right)}{{\mathrm e}^{x}-1}\right) \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{x}-1}\right) \mathrm{csgn}\left(i \left(1+{\mathrm e}^{2 x}\right)\right)+i \pi  \,\mathrm{csgn}\left(\frac{i \left(1+{\mathrm e}^{2 x}\right)}{{\mathrm e}^{x}-1}\right) \mathrm{csgn}\left(\frac{i \left(1+{\mathrm e}^{2 x}\right)}{\left({\mathrm e}^{x}+1\right) \left({\mathrm e}^{x}-1\right)}\right)^{2}-i \pi  \,\mathrm{csgn}\left(\frac{i \left(1+{\mathrm e}^{2 x}\right)}{{\mathrm e}^{x}-1}\right) \mathrm{csgn}\left(\frac{i \left(1+{\mathrm e}^{2 x}\right)}{\left({\mathrm e}^{x}+1\right) \left({\mathrm e}^{x}-1\right)}\right) \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{x}+1}\right)-i \pi  \mathrm{csgn}\left(\frac{i \left(1+{\mathrm e}^{2 x}\right)}{\left({\mathrm e}^{x}+1\right) \left({\mathrm e}^{x}-1\right)}\right)^{3}+i \pi  \mathrm{csgn}\left(\frac{i \left(1+{\mathrm e}^{2 x}\right)}{\left({\mathrm e}^{x}+1\right) \left({\mathrm e}^{x}-1\right)}\right)^{2} \mathrm{csgn}\left(\frac{i}{{\mathrm e}^{x}+1}\right)-2 \ln \left({\mathrm e}^{x}+1\right)+2 \ln \left(1+{\mathrm e}^{2 x}\right)-2 \ln \left({\mathrm e}^{x}-1\right)\right)}{2}}}{\left(n +1\right) \left(n +3\right) \left({\mathrm e}^{2 x}-1\right)^{3}}"," ",0,"-2*(-exp(6*x)+2*n*exp(4*x)+3*exp(4*x)+2*n*exp(2*x)+3*exp(2*x)-1)/(n+1)/(n+3)/(exp(2*x)-1)^3*exp(1/2*n*(-I*Pi*csgn(I/(exp(x)-1)*(1+exp(2*x)))^3+I*Pi*csgn(I/(exp(x)-1)*(1+exp(2*x)))^2*csgn(I/(exp(x)-1))+I*Pi*csgn(I/(exp(x)-1)*(1+exp(2*x)))^2*csgn(I*(1+exp(2*x)))-I*Pi*csgn(I/(exp(x)-1)*(1+exp(2*x)))*csgn(I/(exp(x)-1))*csgn(I*(1+exp(2*x)))+I*Pi*csgn(I/(exp(x)-1)*(1+exp(2*x)))*csgn(I/(exp(x)+1)*(1+exp(2*x))/(exp(x)-1))^2-I*Pi*csgn(I/(exp(x)-1)*(1+exp(2*x)))*csgn(I/(exp(x)+1)*(1+exp(2*x))/(exp(x)-1))*csgn(I/(exp(x)+1))-I*Pi*csgn(I/(exp(x)+1)*(1+exp(2*x))/(exp(x)-1))^3+I*Pi*csgn(I/(exp(x)+1)*(1+exp(2*x))/(exp(x)-1))^2*csgn(I/(exp(x)+1))-2*ln(exp(x)+1)+2*ln(1+exp(2*x))-2*ln(exp(x)-1)))","C"
127,1,46,30,0.337000," ","int(coth(x)^4*csch(x)^3,x)","-\frac{\cosh^{3}\left(x \right)}{3 \sinh \left(x \right)^{6}}+\frac{\cosh \left(x \right)}{5 \sinh \left(x \right)^{6}}+\frac{\left(-\frac{\mathrm{csch}\left(x \right)^{5}}{6}+\frac{5 \mathrm{csch}\left(x \right)^{3}}{24}-\frac{5 \,\mathrm{csch}\left(x \right)}{16}\right) \coth \left(x \right)}{5}+\frac{\arctanh \left({\mathrm e}^{x}\right)}{8}"," ",0,"-1/3/sinh(x)^6*cosh(x)^3+1/5/sinh(x)^6*cosh(x)+1/5*(-1/6*csch(x)^5+5/24*csch(x)^3-5/16*csch(x))*coth(x)+1/8*arctanh(exp(x))","A"
128,1,50,19,0.335000," ","int(coth(x)^4*csch(x)^6,x)","-\frac{\cosh^{3}\left(x \right)}{6 \sinh \left(x \right)^{9}}+\frac{\cosh \left(x \right)}{16 \sinh \left(x \right)^{9}}+\frac{\left(-\frac{128}{315}-\frac{\mathrm{csch}\left(x \right)^{8}}{9}+\frac{8 \mathrm{csch}\left(x \right)^{6}}{63}-\frac{16 \mathrm{csch}\left(x \right)^{4}}{105}+\frac{64 \mathrm{csch}\left(x \right)^{2}}{315}\right) \coth \left(x \right)}{16}"," ",0,"-1/6/sinh(x)^9*cosh(x)^3+1/16/sinh(x)^9*cosh(x)+1/16*(-128/315-1/9*csch(x)^8+8/63*csch(x)^6-16/105*csch(x)^4+64/315*csch(x)^2)*coth(x)","B"
129,1,38,23,0.130000," ","int(coth(6*x)^5*csch(6*x),x)","-\frac{\cosh^{4}\left(6 x \right)}{6 \sinh \left(6 x \right)^{5}}+\frac{2 \left(\cosh^{2}\left(6 x \right)\right)}{9 \sinh \left(6 x \right)^{5}}-\frac{4}{45 \sinh \left(6 x \right)^{5}}"," ",0,"-1/6/sinh(6*x)^5*cosh(6*x)^4+2/9/sinh(6*x)^5*cosh(6*x)^2-4/45/sinh(6*x)^5","A"
130,1,38,25,0.108000," ","int(coth(x)^7*csch(x)^3,x)","-\frac{\cosh^{6}\left(x \right)}{3 \sinh \left(x \right)^{9}}+\frac{2 \left(\cosh^{4}\left(x \right)\right)}{5 \sinh \left(x \right)^{9}}-\frac{8 \left(\cosh^{2}\left(x \right)\right)}{35 \sinh \left(x \right)^{9}}+\frac{16}{315 \sinh \left(x \right)^{9}}"," ",0,"-1/3/sinh(x)^9*cosh(x)^6+2/5/sinh(x)^9*cosh(x)^4-8/35/sinh(x)^9*cosh(x)^2+16/315/sinh(x)^9","A"
131,1,24,23,0.086000," ","int(sinh(b*x+a)*sinh(b*x+c),x)","-\frac{x \cosh \left(a -c \right)}{2}+\frac{\sinh \left(2 b x +a +c \right)}{4 b}"," ",0,"-1/2*x*cosh(a-c)+1/4*sinh(2*b*x+a+c)/b","A"
132,1,24,23,0.088000," ","int(-sinh(b*x-c)*sinh(b*x+a),x)","\frac{x \cosh \left(a +c \right)}{2}-\frac{\sinh \left(2 b x +a -c \right)}{4 b}"," ",0,"1/2*x*cosh(a+c)-1/4*sinh(2*b*x+a-c)/b","A"
133,1,24,23,0.172000," ","int(cosh(b*x+a)*cosh(b*x+c),x)","\frac{x \cosh \left(a -c \right)}{2}+\frac{\sinh \left(2 b x +a +c \right)}{4 b}"," ",0,"1/2*x*cosh(a-c)+1/4*sinh(2*b*x+a+c)/b","A"
134,1,24,23,0.151000," ","int(cosh(b*x-c)*cosh(b*x+a),x)","\frac{x \cosh \left(a +c \right)}{2}+\frac{\sinh \left(2 b x +a -c \right)}{4 b}"," ",0,"1/2*x*cosh(a+c)+1/4*sinh(2*b*x+a-c)/b","A"
135,1,151,37,0.197000," ","int(tanh(b*x+a)*tanh(b*x+c),x)","x -\frac{\ln \left(1+{\mathrm e}^{2 b x +2 a}\right) {\mathrm e}^{2 a}}{b \left({\mathrm e}^{2 a}-{\mathrm e}^{2 c}\right)}-\frac{\ln \left(1+{\mathrm e}^{2 b x +2 a}\right) {\mathrm e}^{2 c}}{b \left({\mathrm e}^{2 a}-{\mathrm e}^{2 c}\right)}+\frac{\ln \left({\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 a -2 c}\right) {\mathrm e}^{2 a}}{b \left({\mathrm e}^{2 a}-{\mathrm e}^{2 c}\right)}+\frac{\ln \left({\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 a -2 c}\right) {\mathrm e}^{2 c}}{b \left({\mathrm e}^{2 a}-{\mathrm e}^{2 c}\right)}"," ",0,"x-1/b/(exp(2*a)-exp(2*c))*ln(1+exp(2*b*x+2*a))*exp(2*a)-1/b/(exp(2*a)-exp(2*c))*ln(1+exp(2*b*x+2*a))*exp(2*c)+1/b/(exp(2*a)-exp(2*c))*ln(exp(2*b*x+2*a)+exp(2*a-2*c))*exp(2*a)+1/b/(exp(2*a)-exp(2*c))*ln(exp(2*b*x+2*a)+exp(2*a-2*c))*exp(2*c)","B"
136,1,149,37,0.234000," ","int(-tanh(b*x-c)*tanh(b*x+a),x)","-x -\frac{\ln \left({\mathrm e}^{2 a +2 c}+{\mathrm e}^{2 b x +2 a}\right) {\mathrm e}^{2 a +2 c}}{b \left({\mathrm e}^{2 a +2 c}-1\right)}-\frac{\ln \left({\mathrm e}^{2 a +2 c}+{\mathrm e}^{2 b x +2 a}\right)}{b \left({\mathrm e}^{2 a +2 c}-1\right)}+\frac{\ln \left(1+{\mathrm e}^{2 b x +2 a}\right) {\mathrm e}^{2 a +2 c}}{b \left({\mathrm e}^{2 a +2 c}-1\right)}+\frac{\ln \left(1+{\mathrm e}^{2 b x +2 a}\right)}{b \left({\mathrm e}^{2 a +2 c}-1\right)}"," ",0,"-x-1/b/(exp(2*a+2*c)-1)*ln(exp(2*a+2*c)+exp(2*b*x+2*a))*exp(2*a+2*c)-1/b/(exp(2*a+2*c)-1)*ln(exp(2*a+2*c)+exp(2*b*x+2*a))+1/b/(exp(2*a+2*c)-1)*ln(1+exp(2*b*x+2*a))*exp(2*a+2*c)+1/b/(exp(2*a+2*c)-1)*ln(1+exp(2*b*x+2*a))","B"
137,1,155,37,0.268000," ","int(coth(b*x+a)*coth(b*x+c),x)","x -\frac{\ln \left({\mathrm e}^{2 b x +2 a}-1\right) {\mathrm e}^{2 a}}{b \left({\mathrm e}^{2 a}-{\mathrm e}^{2 c}\right)}-\frac{\ln \left({\mathrm e}^{2 b x +2 a}-1\right) {\mathrm e}^{2 c}}{b \left({\mathrm e}^{2 a}-{\mathrm e}^{2 c}\right)}+\frac{\ln \left({\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 a -2 c}\right) {\mathrm e}^{2 a}}{b \left({\mathrm e}^{2 a}-{\mathrm e}^{2 c}\right)}+\frac{\ln \left({\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 a -2 c}\right) {\mathrm e}^{2 c}}{b \left({\mathrm e}^{2 a}-{\mathrm e}^{2 c}\right)}"," ",0,"x-1/b/(exp(2*a)-exp(2*c))*ln(exp(2*b*x+2*a)-1)*exp(2*a)-1/b/(exp(2*a)-exp(2*c))*ln(exp(2*b*x+2*a)-1)*exp(2*c)+1/b/(exp(2*a)-exp(2*c))*ln(exp(2*b*x+2*a)-exp(2*a-2*c))*exp(2*a)+1/b/(exp(2*a)-exp(2*c))*ln(exp(2*b*x+2*a)-exp(2*a-2*c))*exp(2*c)","B"
138,1,153,39,0.275000," ","int(-coth(b*x-c)*coth(b*x+a),x)","-x -\frac{\ln \left(-{\mathrm e}^{2 a +2 c}+{\mathrm e}^{2 b x +2 a}\right) {\mathrm e}^{2 a +2 c}}{b \left({\mathrm e}^{2 a +2 c}-1\right)}-\frac{\ln \left(-{\mathrm e}^{2 a +2 c}+{\mathrm e}^{2 b x +2 a}\right)}{b \left({\mathrm e}^{2 a +2 c}-1\right)}+\frac{\ln \left({\mathrm e}^{2 b x +2 a}-1\right) {\mathrm e}^{2 a +2 c}}{b \left({\mathrm e}^{2 a +2 c}-1\right)}+\frac{\ln \left({\mathrm e}^{2 b x +2 a}-1\right)}{b \left({\mathrm e}^{2 a +2 c}-1\right)}"," ",0,"-x-1/b/(exp(2*a+2*c)-1)*ln(-exp(2*a+2*c)+exp(2*b*x+2*a))*exp(2*a+2*c)-1/b/(exp(2*a+2*c)-1)*ln(-exp(2*a+2*c)+exp(2*b*x+2*a))+1/b/(exp(2*a+2*c)-1)*ln(exp(2*b*x+2*a)-1)*exp(2*a+2*c)+1/b/(exp(2*a+2*c)-1)*ln(exp(2*b*x+2*a)-1)","B"
139,1,77,36,0.155000," ","int(sech(b*x+a)*sech(b*x+c),x)","\frac{2 \ln \left(1+{\mathrm e}^{2 b x +2 a}\right) {\mathrm e}^{a +c}}{\left({\mathrm e}^{2 a}-{\mathrm e}^{2 c}\right) b}-\frac{2 \ln \left({\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 a -2 c}\right) {\mathrm e}^{a +c}}{\left({\mathrm e}^{2 a}-{\mathrm e}^{2 c}\right) b}"," ",0,"2*ln(1+exp(2*b*x+2*a))/(exp(2*a)-exp(2*c))/b*exp(a+c)-2*ln(exp(2*b*x+2*a)+exp(2*a-2*c))/(exp(2*a)-exp(2*c))/b*exp(a+c)","B"
140,1,75,34,0.159000," ","int(sech(b*x-c)*sech(b*x+a),x)","\frac{2 \ln \left(1+{\mathrm e}^{2 b x +2 a}\right) {\mathrm e}^{a +c}}{b \left({\mathrm e}^{2 a +2 c}-1\right)}-\frac{2 \ln \left({\mathrm e}^{2 a +2 c}+{\mathrm e}^{2 b x +2 a}\right) {\mathrm e}^{a +c}}{b \left({\mathrm e}^{2 a +2 c}-1\right)}"," ",0,"2/b/(exp(2*a+2*c)-1)*ln(1+exp(2*b*x+2*a))*exp(a+c)-2/b/(exp(2*a+2*c)-1)*ln(exp(2*a+2*c)+exp(2*b*x+2*a))*exp(a+c)","B"
141,1,79,36,0.130000," ","int(csch(b*x+a)*csch(b*x+c),x)","\frac{2 \ln \left({\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 a -2 c}\right) {\mathrm e}^{a +c}}{\left({\mathrm e}^{2 a}-{\mathrm e}^{2 c}\right) b}-\frac{2 \ln \left({\mathrm e}^{2 b x +2 a}-1\right) {\mathrm e}^{a +c}}{\left({\mathrm e}^{2 a}-{\mathrm e}^{2 c}\right) b}"," ",0,"2*ln(exp(2*b*x+2*a)-exp(2*a-2*c))/(exp(2*a)-exp(2*c))/b*exp(a+c)-2*ln(exp(2*b*x+2*a)-1)/(exp(2*a)-exp(2*c))/b*exp(a+c)","B"
142,1,77,36,0.125000," ","int(-csch(b*x-c)*csch(b*x+a),x)","\frac{2 \ln \left({\mathrm e}^{2 b x +2 a}-1\right) {\mathrm e}^{a +c}}{b \left({\mathrm e}^{2 a +2 c}-1\right)}-\frac{2 \ln \left(-{\mathrm e}^{2 a +2 c}+{\mathrm e}^{2 b x +2 a}\right) {\mathrm e}^{a +c}}{b \left({\mathrm e}^{2 a +2 c}-1\right)}"," ",0,"2/b/(exp(2*a+2*c)-1)*ln(exp(2*b*x+2*a)-1)*exp(a+c)-2/b/(exp(2*a+2*c)-1)*ln(-exp(2*a+2*c)+exp(2*b*x+2*a))*exp(a+c)","B"
143,1,167,29,0.223000," ","int(sinh(b*x+a)*tanh(b*x+c),x)","\frac{{\mathrm e}^{b x +a}}{2 b}-\frac{{\mathrm e}^{-b x -a}}{2 b}+\frac{i \ln \left({\mathrm e}^{b x +a}-i {\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 a}}{2 b}+\frac{i \ln \left({\mathrm e}^{b x +a}-i {\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 c}}{2 b}-\frac{i \ln \left({\mathrm e}^{b x +a}+i {\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 a}}{2 b}-\frac{i \ln \left({\mathrm e}^{b x +a}+i {\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 c}}{2 b}"," ",0,"1/2*exp(b*x+a)/b-1/2*exp(-b*x-a)/b+1/2*I*ln(exp(b*x+a)-I*exp(a-c))/b*exp(-a-c)*exp(2*a)+1/2*I*ln(exp(b*x+a)-I*exp(a-c))/b*exp(-a-c)*exp(2*c)-1/2*I*ln(exp(b*x+a)+I*exp(a-c))/b*exp(-a-c)*exp(2*a)-1/2*I*ln(exp(b*x+a)+I*exp(a-c))/b*exp(-a-c)*exp(2*c)","C"
144,1,205,45,0.324000," ","int(sinh(b*x+a)*tanh(b*x+c)^2,x)","\frac{{\mathrm e}^{b x +a}}{2 b}+\frac{{\mathrm e}^{-b x -a}}{2 b}+\frac{{\mathrm e}^{b x +a} \left({\mathrm e}^{2 a}+{\mathrm e}^{2 c}\right)}{b \left({\mathrm e}^{2 b x +2 a +2 c}+{\mathrm e}^{2 a}\right)}+\frac{i \ln \left({\mathrm e}^{b x +a}-i {\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 a}}{2 b}-\frac{i \ln \left({\mathrm e}^{b x +a}-i {\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 c}}{2 b}-\frac{i \ln \left({\mathrm e}^{b x +a}+i {\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 a}}{2 b}+\frac{i \ln \left({\mathrm e}^{b x +a}+i {\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 c}}{2 b}"," ",0,"1/2*exp(b*x+a)/b+1/2*exp(-b*x-a)/b+1/b*exp(b*x+a)*(exp(2*a)+exp(2*c))/(exp(2*b*x+2*a+2*c)+exp(2*a))+1/2*I*ln(exp(b*x+a)-I*exp(a-c))/b*exp(-a-c)*exp(a)^2-1/2*I*ln(exp(b*x+a)-I*exp(a-c))/b*exp(-a-c)*exp(c)^2-1/2*I*ln(exp(b*x+a)+I*exp(a-c))/b*exp(-a-c)*exp(a)^2+1/2*I*ln(exp(b*x+a)+I*exp(a-c))/b*exp(-a-c)*exp(c)^2","C"
145,1,240,68,0.326000," ","int(sinh(b*x+a)*tanh(b*x+c)^3,x)","\frac{{\mathrm e}^{b x +a}}{2 b}-\frac{{\mathrm e}^{-b x -a}}{2 b}+\frac{{\mathrm e}^{b x +a} \left(3 \,{\mathrm e}^{2 b x +4 a +2 c}-{\mathrm e}^{2 b x +2 a +4 c}+{\mathrm e}^{4 a}-3 \,{\mathrm e}^{2 a +2 c}\right)}{2 b \left({\mathrm e}^{2 b x +2 a +2 c}+{\mathrm e}^{2 a}\right)^{2}}+\frac{3 i \ln \left({\mathrm e}^{b x +a}-i {\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 a}}{4 b}+\frac{3 i \ln \left({\mathrm e}^{b x +a}-i {\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 c}}{4 b}-\frac{3 i \ln \left({\mathrm e}^{b x +a}+i {\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 a}}{4 b}-\frac{3 i \ln \left({\mathrm e}^{b x +a}+i {\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 c}}{4 b}"," ",0,"1/2*exp(b*x+a)/b-1/2*exp(-b*x-a)/b+1/2*exp(b*x+a)*(3*exp(2*b*x+4*a+2*c)-exp(2*b*x+2*a+4*c)+exp(4*a)-3*exp(2*a+2*c))/b/(exp(2*b*x+2*a+2*c)+exp(2*a))^2+3/4*I*ln(exp(b*x+a)-I*exp(a-c))/b*exp(-a-c)*exp(2*a)+3/4*I*ln(exp(b*x+a)-I*exp(a-c))/b*exp(-a-c)*exp(2*c)-3/4*I*ln(exp(b*x+a)+I*exp(a-c))/b*exp(-a-c)*exp(2*a)-3/4*I*ln(exp(b*x+a)+I*exp(a-c))/b*exp(-a-c)*exp(2*c)","C"
146,1,155,29,0.203000," ","int(coth(b*x+c)*sinh(b*x+a),x)","\frac{{\mathrm e}^{b x +a}}{2 b}-\frac{{\mathrm e}^{-b x -a}}{2 b}+\frac{\ln \left({\mathrm e}^{b x +a}-{\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 a}}{2 b}-\frac{\ln \left({\mathrm e}^{b x +a}-{\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 c}}{2 b}-\frac{\ln \left({\mathrm e}^{b x +a}+{\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 a}}{2 b}+\frac{\ln \left({\mathrm e}^{b x +a}+{\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 c}}{2 b}"," ",0,"1/2*exp(b*x+a)/b-1/2*exp(-b*x-a)/b+1/2*ln(exp(b*x+a)-exp(a-c))/b*exp(-a-c)*exp(2*a)-1/2*ln(exp(b*x+a)-exp(a-c))/b*exp(-a-c)*exp(2*c)-1/2*ln(exp(b*x+a)+exp(a-c))/b*exp(-a-c)*exp(2*a)+1/2*ln(exp(b*x+a)+exp(a-c))/b*exp(-a-c)*exp(2*c)","B"
147,1,197,46,0.229000," ","int(coth(b*x+c)^2*sinh(b*x+a),x)","\frac{{\mathrm e}^{b x +a}}{2 b}+\frac{{\mathrm e}^{-b x -a}}{2 b}+\frac{{\mathrm e}^{b x +a} \left({\mathrm e}^{2 a}-{\mathrm e}^{2 c}\right)}{b \left(-{\mathrm e}^{2 b x +2 a +2 c}+{\mathrm e}^{2 a}\right)}+\frac{\ln \left({\mathrm e}^{b x +a}-{\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 a}}{2 b}+\frac{\ln \left({\mathrm e}^{b x +a}-{\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 c}}{2 b}-\frac{\ln \left({\mathrm e}^{b x +a}+{\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 a}}{2 b}-\frac{\ln \left({\mathrm e}^{b x +a}+{\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 c}}{2 b}"," ",0,"1/2*exp(b*x+a)/b+1/2*exp(-b*x-a)/b+1/b*exp(b*x+a)*(exp(2*a)-exp(2*c))/(-exp(2*b*x+2*a+2*c)+exp(2*a))+1/2*ln(exp(b*x+a)-exp(a-c))/b*exp(-a-c)*exp(2*a)+1/2*ln(exp(b*x+a)-exp(a-c))/b*exp(-a-c)*exp(2*c)-1/2*ln(exp(b*x+a)+exp(a-c))/b*exp(-a-c)*exp(2*a)-1/2*ln(exp(b*x+a)+exp(a-c))/b*exp(-a-c)*exp(2*c)","B"
148,1,230,69,0.276000," ","int(coth(b*x+c)^3*sinh(b*x+a),x)","\frac{{\mathrm e}^{b x +a}}{2 b}-\frac{{\mathrm e}^{-b x -a}}{2 b}+\frac{{\mathrm e}^{b x +a} \left(-3 \,{\mathrm e}^{2 b x +4 a +2 c}-{\mathrm e}^{2 b x +2 a +4 c}+{\mathrm e}^{4 a}+3 \,{\mathrm e}^{2 a +2 c}\right)}{2 b \left(-{\mathrm e}^{2 b x +2 a +2 c}+{\mathrm e}^{2 a}\right)^{2}}-\frac{3 \ln \left({\mathrm e}^{b x +a}+{\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 a}}{4 b}+\frac{3 \ln \left({\mathrm e}^{b x +a}+{\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 c}}{4 b}+\frac{3 \ln \left({\mathrm e}^{b x +a}-{\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 a}}{4 b}-\frac{3 \ln \left({\mathrm e}^{b x +a}-{\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 c}}{4 b}"," ",0,"1/2*exp(b*x+a)/b-1/2*exp(-b*x-a)/b+1/2*exp(b*x+a)*(-3*exp(2*b*x+4*a+2*c)-exp(2*b*x+2*a+4*c)+exp(4*a)+3*exp(2*a+2*c))/b/(-exp(2*b*x+2*a+2*c)+exp(2*a))^2-3/4*ln(exp(b*x+a)+exp(a-c))/b*exp(-a-c)*exp(2*a)+3/4*ln(exp(b*x+a)+exp(a-c))/b*exp(-a-c)*exp(2*c)+3/4*ln(exp(b*x+a)-exp(a-c))/b*exp(-a-c)*exp(2*a)-3/4*ln(exp(b*x+a)-exp(a-c))/b*exp(-a-c)*exp(2*c)","B"
149,1,148,26,0.136000," ","int(sech(b*x+c)*sinh(b*x+a),x)","x \,{\mathrm e}^{a -c}-{\mathrm e}^{-a -c} {\mathrm e}^{2 a} x -{\mathrm e}^{-a -c} {\mathrm e}^{2 c} x -\frac{{\mathrm e}^{-a -c} {\mathrm e}^{2 a} a}{b}-\frac{{\mathrm e}^{-a -c} {\mathrm e}^{2 c} a}{b}+\frac{\ln \left({\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 a -2 c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 a}}{2 b}+\frac{\ln \left({\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 a -2 c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 c}}{2 b}"," ",0,"x*exp(a-c)-exp(-a-c)*exp(2*a)*x-exp(-a-c)*exp(2*c)*x-1/b*exp(-a-c)*exp(2*a)*a-1/b*exp(-a-c)*exp(2*c)*a+1/2*ln(exp(2*b*x+2*a)+exp(2*a-2*c))/b*exp(-a-c)*exp(2*a)+1/2*ln(exp(2*b*x+2*a)+exp(2*a-2*c))/b*exp(-a-c)*exp(2*c)","B"
150,1,181,35,0.257000," ","int(sech(b*x+c)^2*sinh(b*x+a),x)","-\frac{{\mathrm e}^{b x +a} \left({\mathrm e}^{2 a}+{\mathrm e}^{2 c}\right)}{b \left({\mathrm e}^{2 b x +2 a +2 c}+{\mathrm e}^{2 a}\right)}+\frac{i \ln \left({\mathrm e}^{b x +a}+i {\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 a}}{2 b}-\frac{i \ln \left({\mathrm e}^{b x +a}+i {\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 c}}{2 b}-\frac{i \ln \left({\mathrm e}^{b x +a}-i {\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 a}}{2 b}+\frac{i \ln \left({\mathrm e}^{b x +a}-i {\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 c}}{2 b}"," ",0,"-1/b*exp(b*x+a)*(exp(2*a)+exp(2*c))/(exp(2*b*x+2*a+2*c)+exp(2*a))+1/2*I*ln(exp(b*x+a)+I*exp(a-c))/b*exp(-a-c)*exp(a)^2-1/2*I*ln(exp(b*x+a)+I*exp(a-c))/b*exp(-a-c)*exp(c)^2-1/2*I*ln(exp(b*x+a)-I*exp(a-c))/b*exp(-a-c)*exp(a)^2+1/2*I*ln(exp(b*x+a)-I*exp(a-c))/b*exp(-a-c)*exp(c)^2","C"
151,1,58,36,0.183000," ","int(sech(b*x+c)^3*sinh(b*x+a),x)","-\frac{\left(2 \,{\mathrm e}^{2 b x +2 a +2 c}+{\mathrm e}^{2 a}-{\mathrm e}^{2 c}\right) {\mathrm e}^{3 a -c}}{\left({\mathrm e}^{2 b x +2 a +2 c}+{\mathrm e}^{2 a}\right)^{2} b}"," ",0,"-1/(exp(2*b*x+2*a+2*c)+exp(2*a))^2/b*(2*exp(2*b*x+2*a+2*c)+exp(2*a)-exp(2*c))*exp(3*a-c)","A"
152,1,150,26,0.135000," ","int(csch(b*x+c)*sinh(b*x+a),x)","x \,{\mathrm e}^{a -c}+{\mathrm e}^{-a -c} {\mathrm e}^{2 c} x -{\mathrm e}^{-a -c} {\mathrm e}^{2 a} x +\frac{{\mathrm e}^{-a -c} {\mathrm e}^{2 c} a}{b}-\frac{{\mathrm e}^{-a -c} {\mathrm e}^{2 a} a}{b}+\frac{\ln \left({\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 a -2 c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 a}}{2 b}-\frac{\ln \left({\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 a -2 c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 c}}{2 b}"," ",0,"x*exp(a-c)+exp(-a-c)*exp(2*c)*x-exp(-a-c)*exp(2*a)*x+1/b*exp(-a-c)*exp(2*c)*a-1/b*exp(-a-c)*exp(2*a)*a+1/2*ln(exp(2*b*x+2*a)-exp(2*a-2*c))/b*exp(-a-c)*exp(2*a)-1/2*ln(exp(2*b*x+2*a)-exp(2*a-2*c))/b*exp(-a-c)*exp(2*c)","B"
153,1,172,36,0.152000," ","int(csch(b*x+c)^2*sinh(b*x+a),x)","\frac{{\mathrm e}^{b x +a} \left({\mathrm e}^{2 a}-{\mathrm e}^{2 c}\right)}{b \left(-{\mathrm e}^{2 b x +2 a +2 c}+{\mathrm e}^{2 a}\right)}-\frac{\ln \left({\mathrm e}^{b x +a}+{\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 a}}{2 b}-\frac{\ln \left({\mathrm e}^{b x +a}+{\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 c}}{2 b}+\frac{\ln \left({\mathrm e}^{b x +a}-{\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 a}}{2 b}+\frac{\ln \left({\mathrm e}^{b x +a}-{\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 c}}{2 b}"," ",0,"1/b*exp(b*x+a)*(exp(2*a)-exp(2*c))/(-exp(2*b*x+2*a+2*c)+exp(2*a))-1/2*ln(exp(b*x+a)+exp(a-c))/b*exp(-a-c)*exp(2*a)-1/2*ln(exp(b*x+a)+exp(a-c))/b*exp(-a-c)*exp(2*c)+1/2*ln(exp(b*x+a)-exp(a-c))/b*exp(-a-c)*exp(2*a)+1/2*ln(exp(b*x+a)-exp(a-c))/b*exp(-a-c)*exp(2*c)","B"
154,1,57,37,0.172000," ","int(csch(b*x+c)^3*sinh(b*x+a),x)","\frac{\left(-2 \,{\mathrm e}^{2 b x +2 a +2 c}+{\mathrm e}^{2 a}+{\mathrm e}^{2 c}\right) {\mathrm e}^{3 a -c}}{\left(-{\mathrm e}^{2 b x +2 a +2 c}+{\mathrm e}^{2 a}\right)^{2} b}"," ",0,"1/(-exp(2*b*x+2*a+2*c)+exp(2*a))^2/b*(-2*exp(2*b*x+2*a+2*c)+exp(2*a)+exp(2*c))*exp(3*a-c)","A"
155,1,167,29,0.257000," ","int(cosh(b*x+a)*tanh(b*x+c),x)","\frac{{\mathrm e}^{b x +a}}{2 b}+\frac{{\mathrm e}^{-b x -a}}{2 b}+\frac{i \ln \left({\mathrm e}^{b x +a}-i {\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 a}}{2 b}-\frac{i \ln \left({\mathrm e}^{b x +a}-i {\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 c}}{2 b}-\frac{i \ln \left({\mathrm e}^{b x +a}+i {\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 a}}{2 b}+\frac{i \ln \left({\mathrm e}^{b x +a}+i {\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 c}}{2 b}"," ",0,"1/2*exp(b*x+a)/b+1/2*exp(-b*x-a)/b+1/2*I*ln(exp(b*x+a)-I*exp(a-c))/b*exp(-a-c)*exp(a)^2-1/2*I*ln(exp(b*x+a)-I*exp(a-c))/b*exp(-a-c)*exp(c)^2-1/2*I*ln(exp(b*x+a)+I*exp(a-c))/b*exp(-a-c)*exp(a)^2+1/2*I*ln(exp(b*x+a)+I*exp(a-c))/b*exp(-a-c)*exp(c)^2","C"
156,1,207,45,0.346000," ","int(cosh(b*x+a)*tanh(b*x+c)^2,x)","\frac{{\mathrm e}^{b x +a}}{2 b}-\frac{{\mathrm e}^{-b x -a}}{2 b}+\frac{{\mathrm e}^{b x +a} \left({\mathrm e}^{2 a}-{\mathrm e}^{2 c}\right)}{b \left({\mathrm e}^{2 b x +2 a +2 c}+{\mathrm e}^{2 a}\right)}+\frac{i \ln \left({\mathrm e}^{b x +a}-i {\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 a}}{2 b}+\frac{i \ln \left({\mathrm e}^{b x +a}-i {\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 c}}{2 b}-\frac{i \ln \left({\mathrm e}^{b x +a}+i {\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 a}}{2 b}-\frac{i \ln \left({\mathrm e}^{b x +a}+i {\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 c}}{2 b}"," ",0,"1/2*exp(b*x+a)/b-1/2*exp(-b*x-a)/b+1/b*exp(b*x+a)*(exp(2*a)-exp(2*c))/(exp(2*b*x+2*a+2*c)+exp(2*a))+1/2*I*ln(exp(b*x+a)-I*exp(a-c))/b*exp(-a-c)*exp(2*a)+1/2*I*ln(exp(b*x+a)-I*exp(a-c))/b*exp(-a-c)*exp(2*c)-1/2*I*ln(exp(b*x+a)+I*exp(a-c))/b*exp(-a-c)*exp(2*a)-1/2*I*ln(exp(b*x+a)+I*exp(a-c))/b*exp(-a-c)*exp(2*c)","C"
157,1,238,68,0.359000," ","int(cosh(b*x+a)*tanh(b*x+c)^3,x)","\frac{{\mathrm e}^{b x +a}}{2 b}+\frac{{\mathrm e}^{-b x -a}}{2 b}+\frac{{\mathrm e}^{b x +a} \left(3 \,{\mathrm e}^{2 b x +4 a +2 c}+{\mathrm e}^{2 b x +2 a +4 c}+{\mathrm e}^{4 a}+3 \,{\mathrm e}^{2 a +2 c}\right)}{2 b \left({\mathrm e}^{2 b x +2 a +2 c}+{\mathrm e}^{2 a}\right)^{2}}+\frac{3 i \ln \left({\mathrm e}^{b x +a}-i {\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 a}}{4 b}-\frac{3 i \ln \left({\mathrm e}^{b x +a}-i {\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 c}}{4 b}-\frac{3 i \ln \left({\mathrm e}^{b x +a}+i {\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 a}}{4 b}+\frac{3 i \ln \left({\mathrm e}^{b x +a}+i {\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 c}}{4 b}"," ",0,"1/2*exp(b*x+a)/b+1/2*exp(-b*x-a)/b+1/2*exp(b*x+a)*(3*exp(2*b*x+4*a+2*c)+exp(2*b*x+2*a+4*c)+exp(4*a)+3*exp(2*a+2*c))/b/(exp(2*b*x+2*a+2*c)+exp(2*a))^2+3/4*I*ln(exp(b*x+a)-I*exp(a-c))/b*exp(-a-c)*exp(a)^2-3/4*I*ln(exp(b*x+a)-I*exp(a-c))/b*exp(-a-c)*exp(c)^2-3/4*I*ln(exp(b*x+a)+I*exp(a-c))/b*exp(-a-c)*exp(a)^2+3/4*I*ln(exp(b*x+a)+I*exp(a-c))/b*exp(-a-c)*exp(c)^2","C"
158,1,155,29,0.221000," ","int(cosh(b*x+a)*coth(b*x+c),x)","\frac{{\mathrm e}^{b x +a}}{2 b}+\frac{{\mathrm e}^{-b x -a}}{2 b}-\frac{\ln \left({\mathrm e}^{b x +a}+{\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 a}}{2 b}-\frac{\ln \left({\mathrm e}^{b x +a}+{\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 c}}{2 b}+\frac{\ln \left({\mathrm e}^{b x +a}-{\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 a}}{2 b}+\frac{\ln \left({\mathrm e}^{b x +a}-{\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 c}}{2 b}"," ",0,"1/2*exp(b*x+a)/b+1/2*exp(-b*x-a)/b-1/2*ln(exp(b*x+a)+exp(a-c))/b*exp(-a-c)*exp(2*a)-1/2*ln(exp(b*x+a)+exp(a-c))/b*exp(-a-c)*exp(2*c)+1/2*ln(exp(b*x+a)-exp(a-c))/b*exp(-a-c)*exp(2*a)+1/2*ln(exp(b*x+a)-exp(a-c))/b*exp(-a-c)*exp(2*c)","B"
159,1,195,46,0.258000," ","int(cosh(b*x+a)*coth(b*x+c)^2,x)","\frac{{\mathrm e}^{b x +a}}{2 b}-\frac{{\mathrm e}^{-b x -a}}{2 b}+\frac{{\mathrm e}^{b x +a} \left({\mathrm e}^{2 a}+{\mathrm e}^{2 c}\right)}{b \left(-{\mathrm e}^{2 b x +2 a +2 c}+{\mathrm e}^{2 a}\right)}+\frac{\ln \left({\mathrm e}^{b x +a}-{\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 a}}{2 b}-\frac{\ln \left({\mathrm e}^{b x +a}-{\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 c}}{2 b}-\frac{\ln \left({\mathrm e}^{b x +a}+{\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 a}}{2 b}+\frac{\ln \left({\mathrm e}^{b x +a}+{\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 c}}{2 b}"," ",0,"1/2*exp(b*x+a)/b-1/2*exp(-b*x-a)/b+1/b*exp(b*x+a)*(exp(2*a)+exp(2*c))/(-exp(2*b*x+2*a+2*c)+exp(2*a))+1/2*ln(exp(b*x+a)-exp(a-c))/b*exp(-a-c)*exp(2*a)-1/2*ln(exp(b*x+a)-exp(a-c))/b*exp(-a-c)*exp(2*c)-1/2*ln(exp(b*x+a)+exp(a-c))/b*exp(-a-c)*exp(2*a)+1/2*ln(exp(b*x+a)+exp(a-c))/b*exp(-a-c)*exp(2*c)","B"
160,1,228,69,0.265000," ","int(cosh(b*x+a)*coth(b*x+c)^3,x)","\frac{{\mathrm e}^{b x +a}}{2 b}+\frac{{\mathrm e}^{-b x -a}}{2 b}+\frac{{\mathrm e}^{b x +a} \left(-3 \,{\mathrm e}^{2 b x +4 a +2 c}+{\mathrm e}^{2 b x +2 a +4 c}+{\mathrm e}^{4 a}-3 \,{\mathrm e}^{2 a +2 c}\right)}{2 b \left(-{\mathrm e}^{2 b x +2 a +2 c}+{\mathrm e}^{2 a}\right)^{2}}-\frac{3 \ln \left({\mathrm e}^{b x +a}+{\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 a}}{4 b}-\frac{3 \ln \left({\mathrm e}^{b x +a}+{\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 c}}{4 b}+\frac{3 \ln \left({\mathrm e}^{b x +a}-{\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 a}}{4 b}+\frac{3 \ln \left({\mathrm e}^{b x +a}-{\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 c}}{4 b}"," ",0,"1/2*exp(b*x+a)/b+1/2*exp(-b*x-a)/b+1/2*exp(b*x+a)*(-3*exp(2*b*x+4*a+2*c)+exp(2*b*x+2*a+4*c)+exp(4*a)-3*exp(2*a+2*c))/b/(-exp(2*b*x+2*a+2*c)+exp(2*a))^2-3/4*ln(exp(b*x+a)+exp(a-c))/b*exp(-a-c)*exp(2*a)-3/4*ln(exp(b*x+a)+exp(a-c))/b*exp(-a-c)*exp(2*c)+3/4*ln(exp(b*x+a)-exp(a-c))/b*exp(-a-c)*exp(2*a)+3/4*ln(exp(b*x+a)-exp(a-c))/b*exp(-a-c)*exp(2*c)","B"
161,1,146,26,0.159000," ","int(cosh(b*x+a)*sech(b*x+c),x)","x \,{\mathrm e}^{a -c}-{\mathrm e}^{-a -c} {\mathrm e}^{2 a} x +{\mathrm e}^{-a -c} {\mathrm e}^{2 c} x -\frac{{\mathrm e}^{-a -c} {\mathrm e}^{2 a} a}{b}+\frac{{\mathrm e}^{-a -c} {\mathrm e}^{2 c} a}{b}+\frac{\ln \left({\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 a -2 c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 a}}{2 b}-\frac{\ln \left({\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 a -2 c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 c}}{2 b}"," ",0,"x*exp(a-c)-exp(-a-c)*exp(2*a)*x+exp(-a-c)*exp(2*c)*x-1/b*exp(-a-c)*exp(2*a)*a+1/b*exp(-a-c)*exp(2*c)*a+1/2*ln(exp(2*b*x+2*a)+exp(2*a-2*c))/b*exp(-a-c)*exp(2*a)-1/2*ln(exp(2*b*x+2*a)+exp(2*a-2*c))/b*exp(-a-c)*exp(2*c)","B"
162,1,183,35,0.279000," ","int(cosh(b*x+a)*sech(b*x+c)^2,x)","-\frac{{\mathrm e}^{b x +a} \left({\mathrm e}^{2 a}-{\mathrm e}^{2 c}\right)}{b \left({\mathrm e}^{2 b x +2 a +2 c}+{\mathrm e}^{2 a}\right)}+\frac{i \ln \left({\mathrm e}^{b x +a}+i {\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 a}}{2 b}+\frac{i \ln \left({\mathrm e}^{b x +a}+i {\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 c}}{2 b}-\frac{i \ln \left({\mathrm e}^{b x +a}-i {\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 a}}{2 b}-\frac{i \ln \left({\mathrm e}^{b x +a}-i {\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 c}}{2 b}"," ",0,"-1/b*exp(b*x+a)*(exp(2*a)-exp(2*c))/(exp(2*b*x+2*a+2*c)+exp(2*a))+1/2*I*ln(exp(b*x+a)+I*exp(a-c))/b*exp(-a-c)*exp(2*a)+1/2*I*ln(exp(b*x+a)+I*exp(a-c))/b*exp(-a-c)*exp(2*c)-1/2*I*ln(exp(b*x+a)-I*exp(a-c))/b*exp(-a-c)*exp(2*a)-1/2*I*ln(exp(b*x+a)-I*exp(a-c))/b*exp(-a-c)*exp(2*c)","C"
163,1,56,36,0.215000," ","int(cosh(b*x+a)*sech(b*x+c)^3,x)","-\frac{\left(2 \,{\mathrm e}^{2 b x +2 a +2 c}+{\mathrm e}^{2 a}+{\mathrm e}^{2 c}\right) {\mathrm e}^{3 a -c}}{\left({\mathrm e}^{2 b x +2 a +2 c}+{\mathrm e}^{2 a}\right)^{2} b}"," ",0,"-1/(exp(2*b*x+2*a+2*c)+exp(2*a))^2/b*(2*exp(2*b*x+2*a+2*c)+exp(2*a)+exp(2*c))*exp(3*a-c)","A"
164,1,152,26,0.180000," ","int(cosh(b*x+a)*csch(b*x+c),x)","x \,{\mathrm e}^{a -c}-{\mathrm e}^{-a -c} {\mathrm e}^{2 a} x -{\mathrm e}^{-a -c} {\mathrm e}^{2 c} x -\frac{{\mathrm e}^{-a -c} {\mathrm e}^{2 a} a}{b}-\frac{{\mathrm e}^{-a -c} {\mathrm e}^{2 c} a}{b}+\frac{\ln \left({\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 a -2 c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 a}}{2 b}+\frac{\ln \left({\mathrm e}^{2 b x +2 a}-{\mathrm e}^{2 a -2 c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 c}}{2 b}"," ",0,"x*exp(a-c)-exp(-a-c)*exp(2*a)*x-exp(-a-c)*exp(2*c)*x-1/b*exp(-a-c)*exp(2*a)*a-1/b*exp(-a-c)*exp(2*c)*a+1/2*ln(exp(2*b*x+2*a)-exp(2*a-2*c))/b*exp(-a-c)*exp(2*a)+1/2*ln(exp(2*b*x+2*a)-exp(2*a-2*c))/b*exp(-a-c)*exp(2*c)","B"
165,1,170,36,0.189000," ","int(cosh(b*x+a)*csch(b*x+c)^2,x)","\frac{{\mathrm e}^{b x +a} \left({\mathrm e}^{2 a}+{\mathrm e}^{2 c}\right)}{b \left(-{\mathrm e}^{2 b x +2 a +2 c}+{\mathrm e}^{2 a}\right)}-\frac{\ln \left({\mathrm e}^{b x +a}+{\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 a}}{2 b}+\frac{\ln \left({\mathrm e}^{b x +a}+{\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 c}}{2 b}+\frac{\ln \left({\mathrm e}^{b x +a}-{\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 a}}{2 b}-\frac{\ln \left({\mathrm e}^{b x +a}-{\mathrm e}^{a -c}\right) {\mathrm e}^{-a -c} {\mathrm e}^{2 c}}{2 b}"," ",0,"1/b*exp(b*x+a)*(exp(2*a)+exp(2*c))/(-exp(2*b*x+2*a+2*c)+exp(2*a))-1/2*ln(exp(b*x+a)+exp(a-c))/b*exp(-a-c)*exp(2*a)+1/2*ln(exp(b*x+a)+exp(a-c))/b*exp(-a-c)*exp(2*c)+1/2*ln(exp(b*x+a)-exp(a-c))/b*exp(-a-c)*exp(2*a)-1/2*ln(exp(b*x+a)-exp(a-c))/b*exp(-a-c)*exp(2*c)","B"
166,1,59,37,0.206000," ","int(cosh(b*x+a)*csch(b*x+c)^3,x)","\frac{\left(-2 \,{\mathrm e}^{2 b x +2 a +2 c}+{\mathrm e}^{2 a}-{\mathrm e}^{2 c}\right) {\mathrm e}^{3 a -c}}{\left(-{\mathrm e}^{2 b x +2 a +2 c}+{\mathrm e}^{2 a}\right)^{2} b}"," ",0,"1/(-exp(2*b*x+2*a+2*c)+exp(2*a))^2/b*(-2*exp(2*b*x+2*a+2*c)+exp(2*a)-exp(2*c))*exp(3*a-c)","A"
167,1,40,39,0.161000," ","int(sinh(b*x+a)*sinh(d*x+c),x)","-\frac{\sinh \left(a -c +\left(b -d \right) x \right)}{2 \left(b -d \right)}+\frac{\sinh \left(a +c +\left(b +d \right) x \right)}{2 b +2 d}"," ",0,"-1/2*sinh(a-c+(b-d)*x)/(b-d)+1/2*sinh(a+c+(b+d)*x)/(b+d)","A"
168,1,57,56,0.067000," ","int(sinh(b*x+a)*sinh(d*x+c)^2,x)","-\frac{\cosh \left(b x +a \right)}{2 b}+\frac{\cosh \left(a -2 c +\left(b -2 d \right) x \right)}{4 b -8 d}+\frac{\cosh \left(a +2 c +\left(b +2 d \right) x \right)}{4 b +8 d}"," ",0,"-1/2*cosh(b*x+a)/b+1/4*cosh(a-2*c+(b-2*d)*x)/(b-2*d)+1/4*cosh(a+2*c+(b+2*d)*x)/(b+2*d)","A"
169,1,84,83,0.300000," ","int(sinh(b*x+a)*sinh(d*x+c)^3,x)","-\frac{\sinh \left(a -3 c +\left(b -3 d \right) x \right)}{8 \left(b -3 d \right)}+\frac{3 \sinh \left(a -c +\left(b -d \right) x \right)}{8 \left(b -d \right)}-\frac{3 \sinh \left(a +c +\left(b +d \right) x \right)}{8 \left(b +d \right)}+\frac{\sinh \left(a +3 c +\left(b +3 d \right) x \right)}{8 b +24 d}"," ",0,"-1/8*sinh(a-3*c+(b-3*d)*x)/(b-3*d)+3/8*sinh(a-c+(b-d)*x)/(b-d)-3/8*sinh(a+c+(b+d)*x)/(b+d)+1/8*sinh(a+3*c+(b+3*d)*x)/(b+3*d)","A"
170,1,83,78,0.328000," ","int(sinh(b*x+a)^2*sinh(d*x+c)^2,x)","\frac{x}{4}-\frac{\sinh \left(2 b x +2 a \right)}{8 b}-\frac{\sinh \left(2 d x +2 c \right)}{8 d}+\frac{\sinh \left(\left(2 b -2 d \right) x +2 a -2 c \right)}{16 b -16 d}+\frac{\sinh \left(\left(2 b +2 d \right) x +2 a +2 c \right)}{16 b +16 d}"," ",0,"1/4*x-1/8*sinh(2*b*x+2*a)/b-1/8*sinh(2*d*x+2*c)/d+1/16/(b-d)*sinh((2*b-2*d)*x+2*a-2*c)+1/16/(b+d)*sinh((2*b+2*d)*x+2*a+2*c)","A"
171,1,133,132,0.105000," ","int(sinh(b*x+a)^2*sinh(d*x+c)^3,x)","-\frac{\cosh \left(2 a -3 c +\left(2 b -3 d \right) x \right)}{16 \left(2 b -3 d \right)}+\frac{3 \cosh \left(2 a -c +\left(2 b -d \right) x \right)}{16 \left(2 b -d \right)}+\frac{3 \cosh \left(d x +c \right)}{8 d}-\frac{\cosh \left(3 d x +3 c \right)}{24 d}-\frac{3 \cosh \left(2 a +c +\left(2 b +d \right) x \right)}{16 \left(2 b +d \right)}+\frac{\cosh \left(2 a +3 c +\left(2 b +3 d \right) x \right)}{32 b +48 d}"," ",0,"-1/16*cosh(2*a-3*c+(2*b-3*d)*x)/(2*b-3*d)+3/16*cosh(2*a-c+(2*b-d)*x)/(2*b-d)+3/8*cosh(d*x+c)/d-1/24*cosh(3*d*x+3*c)/d-3/16*cosh(2*a+c+(2*b+d)*x)/(2*b+d)+1/16*cosh(2*a+3*c+(2*b+3*d)*x)/(2*b+3*d)","A"
172,1,184,179,0.544000," ","int(sinh(b*x+a)^3*sinh(d*x+c)^3,x)","\frac{3 \sinh \left(a -3 c +\left(b -3 d \right) x \right)}{32 \left(b -3 d \right)}-\frac{9 \sinh \left(a -c +\left(b -d \right) x \right)}{32 \left(b -d \right)}+\frac{9 \sinh \left(a +c +\left(b +d \right) x \right)}{32 \left(b +d \right)}-\frac{3 \sinh \left(a +3 c +\left(b +3 d \right) x \right)}{32 \left(b +3 d \right)}-\frac{\sinh \left(\left(3 b -3 d \right) x +3 a -3 c \right)}{96 \left(b -d \right)}+\frac{3 \sinh \left(3 a -c +\left(3 b -d \right) x \right)}{32 \left(3 b -d \right)}-\frac{3 \sinh \left(3 a +c +\left(3 b +d \right) x \right)}{32 \left(3 b +d \right)}+\frac{\sinh \left(\left(3 b +3 d \right) x +3 a +3 c \right)}{96 b +96 d}"," ",0,"3/32*sinh(a-3*c+(b-3*d)*x)/(b-3*d)-9/32*sinh(a-c+(b-d)*x)/(b-d)+9/32*sinh(a+c+(b+d)*x)/(b+d)-3/32*sinh(a+3*c+(b+3*d)*x)/(b+3*d)-1/96/(b-d)*sinh((3*b-3*d)*x+3*a-3*c)+3/32*sinh(3*a-c+(3*b-d)*x)/(3*b-d)-3/32*sinh(3*a+c+(3*b+d)*x)/(3*b+d)+1/96/(b+d)*sinh((3*b+3*d)*x+3*a+3*c)","A"
173,1,40,39,0.206000," ","int(cosh(b*x+a)*cosh(d*x+c),x)","\frac{\sinh \left(a -c +\left(b -d \right) x \right)}{2 b -2 d}+\frac{\sinh \left(a +c +\left(b +d \right) x \right)}{2 b +2 d}"," ",0,"1/2*sinh(a-c+(b-d)*x)/(b-d)+1/2*sinh(a+c+(b+d)*x)/(b+d)","A"
174,1,57,56,0.206000," ","int(cosh(b*x+a)*cosh(d*x+c)^2,x)","\frac{\sinh \left(b x +a \right)}{2 b}+\frac{\sinh \left(a -2 c +\left(b -2 d \right) x \right)}{4 b -8 d}+\frac{\sinh \left(a +2 c +\left(b +2 d \right) x \right)}{4 b +8 d}"," ",0,"1/2*sinh(b*x+a)/b+1/4*sinh(a-2*c+(b-2*d)*x)/(b-2*d)+1/4*sinh(a+2*c+(b+2*d)*x)/(b+2*d)","A"
175,1,84,83,0.329000," ","int(cosh(b*x+a)*cosh(d*x+c)^3,x)","\frac{\sinh \left(a -3 c +\left(b -3 d \right) x \right)}{8 b -24 d}+\frac{3 \sinh \left(a -c +\left(b -d \right) x \right)}{8 \left(b -d \right)}+\frac{3 \sinh \left(a +c +\left(b +d \right) x \right)}{8 \left(b +d \right)}+\frac{\sinh \left(a +3 c +\left(b +3 d \right) x \right)}{8 b +24 d}"," ",0,"1/8*sinh(a-3*c+(b-3*d)*x)/(b-3*d)+3/8*sinh(a-c+(b-d)*x)/(b-d)+3/8*sinh(a+c+(b+d)*x)/(b+d)+1/8*sinh(a+3*c+(b+3*d)*x)/(b+3*d)","A"
176,1,83,78,0.328000," ","int(cosh(b*x+a)^2*cosh(d*x+c)^2,x)","\frac{x}{4}+\frac{\sinh \left(2 b x +2 a \right)}{8 b}+\frac{\sinh \left(2 d x +2 c \right)}{8 d}+\frac{\sinh \left(\left(2 b -2 d \right) x +2 a -2 c \right)}{16 b -16 d}+\frac{\sinh \left(\left(2 b +2 d \right) x +2 a +2 c \right)}{16 b +16 d}"," ",0,"1/4*x+1/8*sinh(2*b*x+2*a)/b+1/8*sinh(2*d*x+2*c)/d+1/16/(b-d)*sinh((2*b-2*d)*x+2*a-2*c)+1/16/(b+d)*sinh((2*b+2*d)*x+2*a+2*c)","A"
177,1,133,132,0.386000," ","int(cosh(b*x+a)^2*cosh(d*x+c)^3,x)","\frac{\sinh \left(2 a -3 c +\left(2 b -3 d \right) x \right)}{32 b -48 d}+\frac{3 \sinh \left(2 a -c +\left(2 b -d \right) x \right)}{16 \left(2 b -d \right)}+\frac{3 \sinh \left(d x +c \right)}{8 d}+\frac{\sinh \left(3 d x +3 c \right)}{24 d}+\frac{3 \sinh \left(2 a +c +\left(2 b +d \right) x \right)}{16 \left(2 b +d \right)}+\frac{\sinh \left(2 a +3 c +\left(2 b +3 d \right) x \right)}{32 b +48 d}"," ",0,"1/16*sinh(2*a-3*c+(2*b-3*d)*x)/(2*b-3*d)+3/16*sinh(2*a-c+(2*b-d)*x)/(2*b-d)+3/8*sinh(d*x+c)/d+1/24*sinh(3*d*x+3*c)/d+3/16*sinh(2*a+c+(2*b+d)*x)/(2*b+d)+1/16*sinh(2*a+3*c+(2*b+3*d)*x)/(2*b+3*d)","A"
178,1,184,179,0.553000," ","int(cosh(b*x+a)^3*cosh(d*x+c)^3,x)","\frac{3 \sinh \left(a -3 c +\left(b -3 d \right) x \right)}{32 \left(b -3 d \right)}+\frac{9 \sinh \left(a -c +\left(b -d \right) x \right)}{32 \left(b -d \right)}+\frac{9 \sinh \left(a +c +\left(b +d \right) x \right)}{32 \left(b +d \right)}+\frac{3 \sinh \left(a +3 c +\left(b +3 d \right) x \right)}{32 \left(b +3 d \right)}+\frac{\sinh \left(\left(3 b -3 d \right) x +3 a -3 c \right)}{96 b -96 d}+\frac{3 \sinh \left(3 a -c +\left(3 b -d \right) x \right)}{32 \left(3 b -d \right)}+\frac{3 \sinh \left(3 a +c +\left(3 b +d \right) x \right)}{32 \left(3 b +d \right)}+\frac{\sinh \left(\left(3 b +3 d \right) x +3 a +3 c \right)}{96 b +96 d}"," ",0,"3/32*sinh(a-3*c+(b-3*d)*x)/(b-3*d)+9/32*sinh(a-c+(b-d)*x)/(b-d)+9/32*sinh(a+c+(b+d)*x)/(b+d)+3/32*sinh(a+3*c+(b+3*d)*x)/(b+3*d)+1/96/(b-d)*sinh((3*b-3*d)*x+3*a-3*c)+3/32*sinh(3*a-c+(3*b-d)*x)/(3*b-d)+3/32*sinh(3*a+c+(3*b+d)*x)/(3*b+d)+1/96/(b+d)*sinh((3*b+3*d)*x+3*a+3*c)","A"
179,1,40,39,0.064000," ","int(cosh(d*x+c)*sinh(b*x+a),x)","\frac{\cosh \left(a -c +\left(b -d \right) x \right)}{2 b -2 d}+\frac{\cosh \left(a +c +\left(b +d \right) x \right)}{2 b +2 d}"," ",0,"1/2*cosh(a-c+(b-d)*x)/(b-d)+1/2*cosh(a+c+(b+d)*x)/(b+d)","A"
180,1,57,56,0.089000," ","int(cosh(d*x+c)^2*sinh(b*x+a),x)","\frac{\cosh \left(b x +a \right)}{2 b}+\frac{\cosh \left(a -2 c +\left(b -2 d \right) x \right)}{4 b -8 d}+\frac{\cosh \left(a +2 c +\left(b +2 d \right) x \right)}{4 b +8 d}"," ",0,"1/2*cosh(b*x+a)/b+1/4*cosh(a-2*c+(b-2*d)*x)/(b-2*d)+1/4*cosh(a+2*c+(b+2*d)*x)/(b+2*d)","A"
181,1,84,83,0.069000," ","int(cosh(d*x+c)^3*sinh(b*x+a),x)","\frac{\cosh \left(a -3 c +\left(b -3 d \right) x \right)}{8 b -24 d}+\frac{3 \cosh \left(a -c +\left(b -d \right) x \right)}{8 \left(b -d \right)}+\frac{3 \cosh \left(a +c +\left(b +d \right) x \right)}{8 \left(b +d \right)}+\frac{\cosh \left(a +3 c +\left(b +3 d \right) x \right)}{8 b +24 d}"," ",0,"1/8*cosh(a-3*c+(b-3*d)*x)/(b-3*d)+3/8*cosh(a-c+(b-d)*x)/(b-d)+3/8*cosh(a+c+(b+d)*x)/(b+d)+1/8*cosh(a+3*c+(b+3*d)*x)/(b+3*d)","A"
182,1,63,62,0.208000," ","int(cosh(d*x+c)*sinh(b*x+a)^2,x)","\frac{\sinh \left(2 a -c +\left(2 b -d \right) x \right)}{8 b -4 d}-\frac{\sinh \left(d x +c \right)}{2 d}+\frac{\sinh \left(2 a +c +\left(2 b +d \right) x \right)}{8 b +4 d}"," ",0,"1/4*sinh(2*a-c+(2*b-d)*x)/(2*b-d)-1/2*sinh(d*x+c)/d+1/4*sinh(2*a+c+(2*b+d)*x)/(2*b+d)","A"
183,1,83,78,0.337000," ","int(cosh(d*x+c)^2*sinh(b*x+a)^2,x)","-\frac{x}{4}+\frac{\sinh \left(2 b x +2 a \right)}{8 b}-\frac{\sinh \left(2 d x +2 c \right)}{8 d}+\frac{\sinh \left(\left(2 b -2 d \right) x +2 a -2 c \right)}{16 b -16 d}+\frac{\sinh \left(\left(2 b +2 d \right) x +2 a +2 c \right)}{16 b +16 d}"," ",0,"-1/4*x+1/8*sinh(2*b*x+2*a)/b-1/8*sinh(2*d*x+2*c)/d+1/16/(b-d)*sinh((2*b-2*d)*x+2*a-2*c)+1/16/(b+d)*sinh((2*b+2*d)*x+2*a+2*c)","A"
184,1,133,132,0.388000," ","int(cosh(d*x+c)^3*sinh(b*x+a)^2,x)","\frac{\sinh \left(2 a -3 c +\left(2 b -3 d \right) x \right)}{32 b -48 d}+\frac{3 \sinh \left(2 a -c +\left(2 b -d \right) x \right)}{16 \left(2 b -d \right)}-\frac{3 \sinh \left(d x +c \right)}{8 d}-\frac{\sinh \left(3 d x +3 c \right)}{24 d}+\frac{3 \sinh \left(2 a +c +\left(2 b +d \right) x \right)}{16 \left(2 b +d \right)}+\frac{\sinh \left(2 a +3 c +\left(2 b +3 d \right) x \right)}{32 b +48 d}"," ",0,"1/16*sinh(2*a-3*c+(2*b-3*d)*x)/(2*b-3*d)+3/16*sinh(2*a-c+(2*b-d)*x)/(2*b-d)-3/8*sinh(d*x+c)/d-1/24*sinh(3*d*x+3*c)/d+3/16*sinh(2*a+c+(2*b+d)*x)/(2*b+d)+1/16*sinh(2*a+3*c+(2*b+3*d)*x)/(2*b+3*d)","A"
185,1,90,89,0.103000," ","int(cosh(d*x+c)*sinh(b*x+a)^3,x)","-\frac{3 \cosh \left(a -c +\left(b -d \right) x \right)}{8 \left(b -d \right)}+\frac{\cosh \left(3 a -c +\left(3 b -d \right) x \right)}{24 b -8 d}-\frac{3 \cosh \left(a +c +\left(b +d \right) x \right)}{8 \left(b +d \right)}+\frac{\cosh \left(3 a +c +\left(3 b +d \right) x \right)}{24 b +8 d}"," ",0,"-3/8*cosh(a-c+(b-d)*x)/(b-d)+1/8*cosh(3*a-c+(3*b-d)*x)/(3*b-d)-3/8*cosh(a+c+(b+d)*x)/(b+d)+1/8*cosh(3*a+c+(3*b+d)*x)/(3*b+d)","A"
186,1,127,126,0.099000," ","int(cosh(d*x+c)^2*sinh(b*x+a)^3,x)","-\frac{3 \cosh \left(b x +a \right)}{8 b}+\frac{\cosh \left(3 b x +3 a \right)}{24 b}-\frac{3 \cosh \left(a -2 c +\left(b -2 d \right) x \right)}{16 \left(b -2 d \right)}+\frac{\cosh \left(3 a -2 c +\left(3 b -2 d \right) x \right)}{48 b -32 d}-\frac{3 \cosh \left(a +2 c +\left(b +2 d \right) x \right)}{16 \left(b +2 d \right)}+\frac{\cosh \left(3 a +2 c +\left(3 b +2 d \right) x \right)}{48 b +32 d}"," ",0,"-3/8*cosh(b*x+a)/b+1/24*cosh(3*b*x+3*a)/b-3/16*cosh(a-2*c+(b-2*d)*x)/(b-2*d)+1/16*cosh(3*a-2*c+(3*b-2*d)*x)/(3*b-2*d)-3/16*cosh(a+2*c+(b+2*d)*x)/(b+2*d)+1/16*cosh(3*a+2*c+(3*b+2*d)*x)/(3*b+2*d)","A"
187,1,184,179,0.124000," ","int(cosh(d*x+c)^3*sinh(b*x+a)^3,x)","-\frac{3 \cosh \left(a -3 c +\left(b -3 d \right) x \right)}{32 \left(b -3 d \right)}-\frac{9 \cosh \left(a -c +\left(b -d \right) x \right)}{32 \left(b -d \right)}-\frac{9 \cosh \left(a +c +\left(b +d \right) x \right)}{32 \left(b +d \right)}-\frac{3 \cosh \left(a +3 c +\left(b +3 d \right) x \right)}{32 \left(b +3 d \right)}+\frac{\cosh \left(\left(3 b -3 d \right) x +3 a -3 c \right)}{96 b -96 d}+\frac{3 \cosh \left(3 a -c +\left(3 b -d \right) x \right)}{32 \left(3 b -d \right)}+\frac{3 \cosh \left(3 a +c +\left(3 b +d \right) x \right)}{32 \left(3 b +d \right)}+\frac{\cosh \left(\left(3 b +3 d \right) x +3 a +3 c \right)}{96 b +96 d}"," ",0,"-3/32*cosh(a-3*c+(b-3*d)*x)/(b-3*d)-9/32*cosh(a-c+(b-d)*x)/(b-d)-9/32*cosh(a+c+(b+d)*x)/(b+d)-3/32*cosh(a+3*c+(b+3*d)*x)/(b+3*d)+1/96/(b-d)*cosh((3*b-3*d)*x+3*a-3*c)+3/32*cosh(3*a-c+(3*b-d)*x)/(3*b-d)+3/32*cosh(3*a+c+(3*b+d)*x)/(3*b+d)+1/96*cosh((3*b+3*d)*x+3*a+3*c)/(b+d)","A"
188,0,0,109,0.205000," ","int(sinh(b*x+a)*tanh(d*x+c),x)","\int \sinh \left(b x +a \right) \tanh \left(d x +c \right)\, dx"," ",0,"int(sinh(b*x+a)*tanh(d*x+c),x)","F"
189,0,0,105,0.255000," ","int(coth(d*x+c)*sinh(b*x+a),x)","\int \coth \left(d x +c \right) \sinh \left(b x +a \right)\, dx"," ",0,"int(coth(d*x+c)*sinh(b*x+a),x)","F"
190,0,0,104,0.293000," ","int(cosh(b*x+a)*coth(d*x+c),x)","\int \cosh \left(b x +a \right) \coth \left(d x +c \right)\, dx"," ",0,"int(cosh(b*x+a)*coth(d*x+c),x)","F"
191,0,0,108,0.240000," ","int(cosh(b*x+a)*tanh(d*x+c),x)","\int \cosh \left(b x +a \right) \tanh \left(d x +c \right)\, dx"," ",0,"int(cosh(b*x+a)*tanh(d*x+c),x)","F"
192,1,7,6,0.092000," ","int(sinh(x)*sinh(2*x),x)","\frac{2 \left(\sinh^{3}\left(x \right)\right)}{3}"," ",0,"2/3*sinh(x)^3","A"
193,1,14,13,0.190000," ","int(sinh(x)*sinh(3*x),x)","-\frac{\sinh \left(2 x \right)}{4}+\frac{\sinh \left(4 x \right)}{8}"," ",0,"-1/4*sinh(2*x)+1/8*sinh(4*x)","A"
194,1,14,13,0.162000," ","int(sinh(x)*sinh(4*x),x)","-\frac{\sinh \left(3 x \right)}{6}+\frac{\sinh \left(5 x \right)}{10}"," ",0,"-1/6*sinh(3*x)+1/10*sinh(5*x)","A"
195,1,28,31,0.174000," ","int(sinh(x)*sinh(m*x),x)","-\frac{\sinh \left(\left(-1+m \right) x \right)}{2 \left(-1+m \right)}+\frac{\sinh \left(\left(1+m \right) x \right)}{2+2 m}"," ",0,"-1/2/(-1+m)*sinh((-1+m)*x)+1/2*sinh((1+m)*x)/(1+m)","A"
196,1,12,11,0.133000," ","int(cosh(2*x)*sinh(x),x)","-\frac{\cosh \left(x \right)}{2}+\frac{\cosh \left(3 x \right)}{6}"," ",0,"-1/2*cosh(x)+1/6*cosh(3*x)","A"
197,1,14,13,0.162000," ","int(cosh(3*x)*sinh(x),x)","-\frac{\cosh \left(2 x \right)}{4}+\frac{\cosh \left(4 x \right)}{8}"," ",0,"-1/4*cosh(2*x)+1/8*cosh(4*x)","A"
198,1,14,13,0.196000," ","int(cosh(4*x)*sinh(x),x)","-\frac{\cosh \left(3 x \right)}{6}+\frac{\cosh \left(5 x \right)}{10}"," ",0,"-1/6*cosh(3*x)+1/10*cosh(5*x)","A"
199,1,28,31,0.068000," ","int(cosh(m*x)*sinh(x),x)","-\frac{\cosh \left(\left(-1+m \right) x \right)}{2 \left(-1+m \right)}+\frac{\cosh \left(\left(1+m \right) x \right)}{2+2 m}"," ",0,"-1/2/(-1+m)*cosh((-1+m)*x)+1/2*cosh((1+m)*x)/(1+m)","A"
200,1,54,15,0.259000," ","int(sinh(x)*tanh(2*x),x)","\frac{{\mathrm e}^{x}}{2}-\frac{{\mathrm e}^{-x}}{2}+\frac{i \sqrt{2}\, \ln \left({\mathrm e}^{2 x}-i \sqrt{2}\, {\mathrm e}^{x}-1\right)}{4}-\frac{i \sqrt{2}\, \ln \left({\mathrm e}^{2 x}+i \sqrt{2}\, {\mathrm e}^{x}-1\right)}{4}"," ",0,"1/2*exp(x)-1/2*exp(-x)+1/4*I*2^(1/2)*ln(exp(2*x)-I*2^(1/2)*exp(x)-1)-1/4*I*2^(1/2)*ln(exp(2*x)+I*2^(1/2)*exp(x)-1)","C"
201,1,60,15,0.287000," ","int(sinh(x)*tanh(3*x),x)","\frac{{\mathrm e}^{x}}{2}-\frac{{\mathrm e}^{-x}}{2}+\frac{i \ln \left({\mathrm e}^{x}-i\right)}{3}-\frac{i \ln \left({\mathrm e}^{x}+i\right)}{3}+\frac{i \ln \left({\mathrm e}^{2 x}-i {\mathrm e}^{x}-1\right)}{6}-\frac{i \ln \left({\mathrm e}^{2 x}+i {\mathrm e}^{x}-1\right)}{6}"," ",0,"1/2*exp(x)-1/2*exp(-x)+1/3*I*ln(exp(x)-I)-1/3*I*ln(exp(x)+I)+1/6*I*ln(exp(2*x)-I*exp(x)-1)-1/6*I*ln(exp(2*x)+I*exp(x)-1)","C"
202,1,42,49,0.321000," ","int(sinh(x)*tanh(4*x),x)","\frac{{\mathrm e}^{x}}{2}-\frac{{\mathrm e}^{-x}}{2}+\left(\munderset{\textit{\_R} =\RootOf \left(2048 \textit{\_Z}^{4}+128 \textit{\_Z}^{2}+1\right)}{\sum}\textit{\_R} \ln \left(-8 \textit{\_R} \,{\mathrm e}^{x}+{\mathrm e}^{2 x}-1\right)\right)"," ",0,"1/2*exp(x)-1/2*exp(-x)+sum(_R*ln(-8*_R*exp(x)+exp(2*x)-1),_R=RootOf(2048*_Z^4+128*_Z^2+1))","C"
203,1,60,50,0.343000," ","int(sinh(x)*tanh(5*x),x)","\frac{{\mathrm e}^{x}}{2}-\frac{{\mathrm e}^{-x}}{2}+\frac{i \ln \left({\mathrm e}^{x}-i\right)}{5}-\frac{i \ln \left({\mathrm e}^{x}+i\right)}{5}+\left(\munderset{\textit{\_R} =\RootOf \left(10000 \textit{\_Z}^{4}+300 \textit{\_Z}^{2}+1\right)}{\sum}\textit{\_R} \ln \left(-10 \textit{\_R} \,{\mathrm e}^{x}+{\mathrm e}^{2 x}-1\right)\right)"," ",0,"1/2*exp(x)-1/2*exp(-x)+1/5*I*ln(exp(x)-I)-1/5*I*ln(exp(x)+I)+sum(_R*ln(-10*_R*exp(x)+exp(2*x)-1),_R=RootOf(10000*_Z^4+300*_Z^2+1))","C"
204,1,84,77,0.363000," ","int(sinh(x)*tanh(6*x),x)","\frac{{\mathrm e}^{x}}{2}-\frac{{\mathrm e}^{-x}}{2}+\left(\munderset{\textit{\_R} =\RootOf \left(20736 \textit{\_Z}^{4}+576 \textit{\_Z}^{2}+1\right)}{\sum}\textit{\_R} \ln \left(-12 \textit{\_R} \,{\mathrm e}^{x}+{\mathrm e}^{2 x}-1\right)\right)+\frac{i \sqrt{2}\, \ln \left({\mathrm e}^{2 x}-i \sqrt{2}\, {\mathrm e}^{x}-1\right)}{12}-\frac{i \sqrt{2}\, \ln \left({\mathrm e}^{2 x}+i \sqrt{2}\, {\mathrm e}^{x}-1\right)}{12}"," ",0,"1/2*exp(x)-1/2*exp(-x)+sum(_R*ln(-12*_R*exp(x)+exp(2*x)-1),_R=RootOf(20736*_Z^4+576*_Z^2+1))+1/12*I*2^(1/2)*ln(exp(2*x)-I*2^(1/2)*exp(x)-1)-1/12*I*2^(1/2)*ln(exp(2*x)+I*2^(1/2)*exp(x)-1)","C"
205,0,0,67,0.170000," ","int(sinh(x)*tanh(n*x),x)","\int \sinh \left(x \right) \tanh \left(n x \right)\, dx"," ",0,"int(sinh(x)*tanh(n*x),x)","F"
206,1,9,8,0.141000," ","int(coth(2*x)*sinh(x),x)","\sinh \left(x \right)-\arctan \left({\mathrm e}^{x}\right)"," ",0,"sinh(x)-arctan(exp(x))","A"
207,1,51,16,0.217000," ","int(coth(3*x)*sinh(x),x)","-\frac{1}{\tanh \left(\frac{x}{2}\right)+1}-\frac{\sqrt{3}\, \arctan \left(\frac{\tanh \left(\frac{x}{2}\right) \sqrt{3}}{3}\right)}{3}-\frac{\sqrt{3}\, \arctan \left(\tanh \left(\frac{x}{2}\right) \sqrt{3}\right)}{3}-\frac{1}{\tanh \left(\frac{x}{2}\right)-1}"," ",0,"-1/(tanh(1/2*x)+1)-1/3*3^(1/2)*arctan(1/3*tanh(1/2*x)*3^(1/2))-1/3*3^(1/2)*arctan(tanh(1/2*x)*3^(1/2))-1/(tanh(1/2*x)-1)","B"
208,1,143,20,0.309000," ","int(coth(4*x)*sinh(x),x)","-\frac{1}{\tanh \left(\frac{x}{2}\right)+1}+\frac{\sqrt{2}\, \arctan \left(\frac{2 \tanh \left(\frac{x}{2}\right)}{-2+2 \sqrt{2}}\right)}{-4+4 \sqrt{2}}-\frac{\arctan \left(\frac{2 \tanh \left(\frac{x}{2}\right)}{-2+2 \sqrt{2}}\right)}{-2+2 \sqrt{2}}-\frac{\sqrt{2}\, \arctan \left(\frac{2 \tanh \left(\frac{x}{2}\right)}{2+2 \sqrt{2}}\right)}{2 \left(2+2 \sqrt{2}\right)}-\frac{\arctan \left(\frac{2 \tanh \left(\frac{x}{2}\right)}{2+2 \sqrt{2}}\right)}{2+2 \sqrt{2}}-\frac{\arctan \left(\tanh \left(\frac{x}{2}\right)\right)}{2}-\frac{1}{\tanh \left(\frac{x}{2}\right)-1}"," ",0,"-1/(tanh(1/2*x)+1)+1/2*2^(1/2)/(-2+2*2^(1/2))*arctan(2*tanh(1/2*x)/(-2+2*2^(1/2)))-1/(-2+2*2^(1/2))*arctan(2*tanh(1/2*x)/(-2+2*2^(1/2)))-1/2*2^(1/2)/(2+2*2^(1/2))*arctan(2*tanh(1/2*x)/(2+2*2^(1/2)))-1/(2+2*2^(1/2))*arctan(2*tanh(1/2*x)/(2+2*2^(1/2)))-1/2*arctan(tanh(1/2*x))-1/(tanh(1/2*x)-1)","B"
209,1,246,54,0.404000," ","int(coth(5*x)*sinh(x),x)","-\frac{1}{\tanh \left(\frac{x}{2}\right)+1}-\frac{\arctan \left(\frac{\tanh \left(\frac{x}{2}\right)}{\sqrt{5+2 \sqrt{5}}}\right)}{2 \sqrt{5+2 \sqrt{5}}}-\frac{\sqrt{5}\, \arctan \left(\frac{\tanh \left(\frac{x}{2}\right)}{\sqrt{5+2 \sqrt{5}}}\right)}{10 \sqrt{5+2 \sqrt{5}}}+\frac{\sqrt{5}\, \arctan \left(\frac{\tanh \left(\frac{x}{2}\right)}{\sqrt{5-2 \sqrt{5}}}\right)}{10 \sqrt{5-2 \sqrt{5}}}-\frac{\arctan \left(\frac{\tanh \left(\frac{x}{2}\right)}{\sqrt{5-2 \sqrt{5}}}\right)}{2 \sqrt{5-2 \sqrt{5}}}+\frac{\sqrt{5}\, \arctan \left(\frac{5 \tanh \left(\frac{x}{2}\right)}{\sqrt{25-10 \sqrt{5}}}\right)}{2 \sqrt{25-10 \sqrt{5}}}-\frac{3 \arctan \left(\frac{5 \tanh \left(\frac{x}{2}\right)}{\sqrt{25-10 \sqrt{5}}}\right)}{2 \sqrt{25-10 \sqrt{5}}}-\frac{\sqrt{5}\, \arctan \left(\frac{5 \tanh \left(\frac{x}{2}\right)}{\sqrt{25+10 \sqrt{5}}}\right)}{2 \sqrt{25+10 \sqrt{5}}}-\frac{3 \arctan \left(\frac{5 \tanh \left(\frac{x}{2}\right)}{\sqrt{25+10 \sqrt{5}}}\right)}{2 \sqrt{25+10 \sqrt{5}}}-\frac{1}{\tanh \left(\frac{x}{2}\right)-1}"," ",0,"-1/(tanh(1/2*x)+1)-1/2/(5+2*5^(1/2))^(1/2)*arctan(tanh(1/2*x)/(5+2*5^(1/2))^(1/2))-1/10*5^(1/2)/(5+2*5^(1/2))^(1/2)*arctan(tanh(1/2*x)/(5+2*5^(1/2))^(1/2))+1/10*5^(1/2)/(5-2*5^(1/2))^(1/2)*arctan(tanh(1/2*x)/(5-2*5^(1/2))^(1/2))-1/2/(5-2*5^(1/2))^(1/2)*arctan(tanh(1/2*x)/(5-2*5^(1/2))^(1/2))+1/2*5^(1/2)/(25-10*5^(1/2))^(1/2)*arctan(5*tanh(1/2*x)/(25-10*5^(1/2))^(1/2))-3/2/(25-10*5^(1/2))^(1/2)*arctan(5*tanh(1/2*x)/(25-10*5^(1/2))^(1/2))-1/2*5^(1/2)/(25+10*5^(1/2))^(1/2)*arctan(5*tanh(1/2*x)/(25+10*5^(1/2))^(1/2))-3/2/(25+10*5^(1/2))^(1/2)*arctan(5*tanh(1/2*x)/(25+10*5^(1/2))^(1/2))-1/(tanh(1/2*x)-1)","B"
210,1,172,28,0.338000," ","int(coth(6*x)*sinh(x),x)","-\frac{1}{\tanh \left(\frac{x}{2}\right)+1}-\frac{\sqrt{3}\, \arctan \left(\frac{\tanh \left(\frac{x}{2}\right) \sqrt{3}}{3}\right)}{6}-\frac{\sqrt{3}\, \arctan \left(\tanh \left(\frac{x}{2}\right) \sqrt{3}\right)}{6}-\frac{\arctan \left(\tanh \left(\frac{x}{2}\right)\right)}{3}-\frac{\sqrt{3}\, \arctan \left(\frac{2 \tanh \left(\frac{x}{2}\right)}{4+2 \sqrt{3}}\right)}{3 \left(4+2 \sqrt{3}\right)}-\frac{2 \arctan \left(\frac{2 \tanh \left(\frac{x}{2}\right)}{4+2 \sqrt{3}}\right)}{3 \left(4+2 \sqrt{3}\right)}+\frac{\sqrt{3}\, \arctan \left(\frac{2 \tanh \left(\frac{x}{2}\right)}{4-2 \sqrt{3}}\right)}{12-6 \sqrt{3}}-\frac{2 \arctan \left(\frac{2 \tanh \left(\frac{x}{2}\right)}{4-2 \sqrt{3}}\right)}{3 \left(4-2 \sqrt{3}\right)}-\frac{1}{\tanh \left(\frac{x}{2}\right)-1}"," ",0,"-1/(tanh(1/2*x)+1)-1/6*3^(1/2)*arctan(1/3*tanh(1/2*x)*3^(1/2))-1/6*3^(1/2)*arctan(tanh(1/2*x)*3^(1/2))-1/3*arctan(tanh(1/2*x))-1/3*3^(1/2)/(4+2*3^(1/2))*arctan(2*tanh(1/2*x)/(4+2*3^(1/2)))-2/3/(4+2*3^(1/2))*arctan(2*tanh(1/2*x)/(4+2*3^(1/2)))+1/3*3^(1/2)/(4-2*3^(1/2))*arctan(2*tanh(1/2*x)/(4-2*3^(1/2)))-2/3/(4-2*3^(1/2))*arctan(2*tanh(1/2*x)/(4-2*3^(1/2)))-1/(tanh(1/2*x)-1)","B"
211,1,39,12,0.226000," ","int(sech(2*x)*sinh(x),x)","\frac{\ln \left(1+{\mathrm e}^{2 x}-{\mathrm e}^{x} \sqrt{2}\right) \sqrt{2}}{4}-\frac{\ln \left(1+{\mathrm e}^{2 x}+{\mathrm e}^{x} \sqrt{2}\right) \sqrt{2}}{4}"," ",0,"1/4*ln(1+exp(2*x)-exp(x)*2^(1/2))*2^(1/2)-1/4*ln(1+exp(2*x)+exp(x)*2^(1/2))*2^(1/2)","B"
212,1,26,17,0.211000," ","int(sech(3*x)*sinh(x),x)","-\frac{\ln \left(1+{\mathrm e}^{2 x}\right)}{3}+\frac{\ln \left(1-{\mathrm e}^{2 x}+{\mathrm e}^{4 x}\right)}{6}"," ",0,"-1/3*ln(1+exp(2*x))+1/6*ln(1-exp(2*x)+exp(4*x))","A"
213,1,40,49,0.249000," ","int(sech(4*x)*sinh(x),x)","2 \left(\munderset{\textit{\_R} =\RootOf \left(32768 \textit{\_Z}^{4}-512 \textit{\_Z}^{2}+1\right)}{\sum}\textit{\_R} \ln \left({\mathrm e}^{2 x}+\left(4096 \textit{\_R}^{3}-48 \textit{\_R} \right) {\mathrm e}^{x}+1\right)\right)"," ",0,"2*sum(_R*ln(exp(2*x)+(4096*_R^3-48*_R)*exp(x)+1),_R=RootOf(32768*_Z^4-512*_Z^2+1))","C"
214,1,101,48,0.237000," ","int(sech(5*x)*sinh(x),x)","\frac{\ln \left(1+{\mathrm e}^{2 x}\right)}{5}-\frac{\ln \left({\mathrm e}^{4 x}+\left(-\frac{1}{2}-\frac{\sqrt{5}}{2}\right) {\mathrm e}^{2 x}+1\right)}{20}+\frac{\ln \left({\mathrm e}^{4 x}+\left(-\frac{1}{2}-\frac{\sqrt{5}}{2}\right) {\mathrm e}^{2 x}+1\right) \sqrt{5}}{20}-\frac{\ln \left({\mathrm e}^{4 x}+\left(\frac{\sqrt{5}}{2}-\frac{1}{2}\right) {\mathrm e}^{2 x}+1\right)}{20}-\frac{\ln \left({\mathrm e}^{4 x}+\left(\frac{\sqrt{5}}{2}-\frac{1}{2}\right) {\mathrm e}^{2 x}+1\right) \sqrt{5}}{20}"," ",0,"1/5*ln(1+exp(2*x))-1/20*ln(exp(4*x)+(-1/2-1/2*5^(1/2))*exp(2*x)+1)+1/20*ln(exp(4*x)+(-1/2-1/2*5^(1/2))*exp(2*x)+1)*5^(1/2)-1/20*ln(exp(4*x)+(1/2*5^(1/2)-1/2)*exp(2*x)+1)-1/20*ln(exp(4*x)+(1/2*5^(1/2)-1/2)*exp(2*x)+1)*5^(1/2)","B"
215,1,78,79,0.287000," ","int(sech(6*x)*sinh(x),x)","2 \left(\munderset{\textit{\_R} =\RootOf \left(331776 \textit{\_Z}^{4}-2304 \textit{\_Z}^{2}+1\right)}{\sum}\textit{\_R} \ln \left({\mathrm e}^{2 x}+\left(13824 \textit{\_R}^{3}-96 \textit{\_R} \right) {\mathrm e}^{x}+1\right)\right)+\frac{\ln \left(1+{\mathrm e}^{2 x}+{\mathrm e}^{x} \sqrt{2}\right) \sqrt{2}}{12}-\frac{\ln \left(1+{\mathrm e}^{2 x}-{\mathrm e}^{x} \sqrt{2}\right) \sqrt{2}}{12}"," ",0,"2*sum(_R*ln(exp(2*x)+(13824*_R^3-96*_R)*exp(x)+1),_R=RootOf(331776*_Z^4-2304*_Z^2+1))+1/12*ln(1+exp(2*x)+exp(x)*2^(1/2))*2^(1/2)-1/12*ln(1+exp(2*x)-exp(x)*2^(1/2))*2^(1/2)","C"
216,1,4,5,0.157000," ","int(csch(2*x)*sinh(x),x)","\arctan \left({\mathrm e}^{x}\right)"," ",0,"arctan(exp(x))","A"
217,1,40,13,0.233000," ","int(csch(3*x)*sinh(x),x)","\frac{i \ln \left({\mathrm e}^{2 x}+\frac{1}{2}+\frac{i \sqrt{3}}{2}\right) \sqrt{3}}{6}-\frac{i \ln \left({\mathrm e}^{2 x}+\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}{6}"," ",0,"1/6*I*ln(exp(2*x)+1/2+1/2*I*3^(1/2))*3^(1/2)-1/6*I*ln(exp(2*x)+1/2-1/2*I*3^(1/2))*3^(1/2)","C"
218,1,62,18,0.224000," ","int(csch(4*x)*sinh(x),x)","\frac{i \ln \left({\mathrm e}^{x}-i\right)}{4}-\frac{i \ln \left({\mathrm e}^{x}+i\right)}{4}+\frac{i \sqrt{2}\, \ln \left({\mathrm e}^{2 x}+i \sqrt{2}\, {\mathrm e}^{x}-1\right)}{8}-\frac{i \sqrt{2}\, \ln \left({\mathrm e}^{2 x}-i \sqrt{2}\, {\mathrm e}^{x}-1\right)}{8}"," ",0,"1/4*I*ln(exp(x)-I)-1/4*I*ln(exp(x)+I)+1/8*I*2^(1/2)*ln(exp(2*x)+I*2^(1/2)*exp(x)-1)-1/8*I*2^(1/2)*ln(exp(2*x)-I*2^(1/2)*exp(x)-1)","C"
219,1,41,49,0.247000," ","int(csch(5*x)*sinh(x),x)","2 \left(\munderset{\textit{\_R} =\RootOf \left(32000 \textit{\_Z}^{4}+400 \textit{\_Z}^{2}+1\right)}{\sum}\textit{\_R} \ln \left(4000 \textit{\_R}^{3}-200 \textit{\_R}^{2}+{\mathrm e}^{2 x}+30 \textit{\_R} -1\right)\right)"," ",0,"2*sum(_R*ln(4000*_R^3-200*_R^2+exp(2*x)+30*_R-1),_R=RootOf(32000*_Z^4+400*_Z^2+1))","C"
220,1,92,26,0.247000," ","int(csch(6*x)*sinh(x),x)","\frac{i \ln \left({\mathrm e}^{x}+i\right)}{6}-\frac{i \ln \left({\mathrm e}^{x}-i\right)}{6}+\frac{i \ln \left({\mathrm e}^{2 x}+i {\mathrm e}^{x}-1\right)}{12}-\frac{i \ln \left({\mathrm e}^{2 x}-i {\mathrm e}^{x}-1\right)}{12}+\frac{i \sqrt{3}\, \ln \left({\mathrm e}^{2 x}-i \sqrt{3}\, {\mathrm e}^{x}-1\right)}{12}-\frac{i \sqrt{3}\, \ln \left({\mathrm e}^{2 x}+i \sqrt{3}\, {\mathrm e}^{x}-1\right)}{12}"," ",0,"1/6*I*ln(exp(x)+I)-1/6*I*ln(exp(x)-I)+1/12*I*ln(exp(2*x)+I*exp(x)-1)-1/12*I*ln(exp(2*x)-I*exp(x)-1)+1/12*I*3^(1/2)*ln(exp(2*x)-I*3^(1/2)*exp(x)-1)-1/12*I*3^(1/2)*ln(exp(2*x)+I*3^(1/2)*exp(x)-1)","C"
221,1,7,6,0.096000," ","int(cosh(x)*sinh(2*x),x)","\frac{2 \left(\cosh^{3}\left(x \right)\right)}{3}"," ",0,"2/3*cosh(x)^3","A"
222,1,12,13,0.110000," ","int(cosh(x)*sinh(3*x),x)","\cosh^{4}\left(x \right)-\frac{\left(\cosh^{2}\left(x \right)\right)}{2}"," ",0,"cosh(x)^4-1/2*cosh(x)^2","A"
223,1,14,13,0.100000," ","int(cosh(x)*sinh(4*x),x)","\frac{8 \left(\cosh^{5}\left(x \right)\right)}{5}-\frac{4 \left(\cosh^{3}\left(x \right)\right)}{3}"," ",0,"8/5*cosh(x)^5-4/3*cosh(x)^3","A"
224,1,28,31,0.044000," ","int(cosh(x)*sinh(m*x),x)","\frac{\cosh \left(\left(-1+m \right) x \right)}{-2+2 m}+\frac{\cosh \left(\left(1+m \right) x \right)}{2+2 m}"," ",0,"1/2/(-1+m)*cosh((-1+m)*x)+1/2*cosh((1+m)*x)/(1+m)","A"
225,1,12,11,0.156000," ","int(cosh(x)*cosh(2*x),x)","\frac{\sinh \left(x \right)}{2}+\frac{\sinh \left(3 x \right)}{6}"," ",0,"1/2*sinh(x)+1/6*sinh(3*x)","A"
226,1,14,13,0.208000," ","int(cosh(x)*cosh(3*x),x)","\frac{\sinh \left(2 x \right)}{4}+\frac{\sinh \left(4 x \right)}{8}"," ",0,"1/4*sinh(2*x)+1/8*sinh(4*x)","A"
227,1,14,13,0.226000," ","int(cosh(x)*cosh(4*x),x)","\frac{\sinh \left(3 x \right)}{6}+\frac{\sinh \left(5 x \right)}{10}"," ",0,"1/6*sinh(3*x)+1/10*sinh(5*x)","A"
228,1,28,31,0.179000," ","int(cosh(x)*cosh(m*x),x)","\frac{\sinh \left(\left(-1+m \right) x \right)}{-2+2 m}+\frac{\sinh \left(\left(1+m \right) x \right)}{2+2 m}"," ",0,"1/2/(-1+m)*sinh((-1+m)*x)+1/2*sinh((1+m)*x)/(1+m)","A"
229,1,16,15,0.066000," ","int(cosh(x)*tanh(2*x),x)","\cosh \left(x \right)-\frac{\arctanh \left(\cosh \left(x \right) \sqrt{2}\right) \sqrt{2}}{2}"," ",0,"cosh(x)-1/2*arctanh(cosh(x)*2^(1/2))*2^(1/2)","A"
230,1,17,16,0.081000," ","int(cosh(x)*tanh(3*x),x)","\cosh \left(x \right)-\frac{\arctanh \left(\frac{2 \cosh \left(x \right) \sqrt{3}}{3}\right) \sqrt{3}}{3}"," ",0,"cosh(x)-1/3*arctanh(2/3*cosh(x)*3^(1/2))*3^(1/2)","A"
231,1,66,49,0.158000," ","int(cosh(x)*tanh(4*x),x)","\cosh \left(x \right)-\frac{\left(1+\sqrt{2}\right) \sqrt{2}\, \arctanh \left(\frac{2 \cosh \left(x \right)}{\sqrt{2+\sqrt{2}}}\right)}{4 \sqrt{2+\sqrt{2}}}-\frac{\left(\sqrt{2}-1\right) \sqrt{2}\, \arctanh \left(\frac{2 \cosh \left(x \right)}{\sqrt{2-\sqrt{2}}}\right)}{4 \sqrt{2-\sqrt{2}}}"," ",0,"cosh(x)-1/4*(1+2^(1/2))*2^(1/2)/(2+2^(1/2))^(1/2)*arctanh(2*cosh(x)/(2+2^(1/2))^(1/2))-1/4*(2^(1/2)-1)*2^(1/2)/(2-2^(1/2))^(1/2)*arctanh(2*cosh(x)/(2-2^(1/2))^(1/2))","A"
232,1,70,54,0.167000," ","int(cosh(x)*tanh(5*x),x)","\cosh \left(x \right)-\frac{\sqrt{5}\, \left(\sqrt{5}-1\right) \arctanh \left(\frac{4 \cosh \left(x \right)}{\sqrt{10-2 \sqrt{5}}}\right)}{5 \sqrt{10-2 \sqrt{5}}}-\frac{\left(\sqrt{5}+1\right) \sqrt{5}\, \arctanh \left(\frac{4 \cosh \left(x \right)}{\sqrt{10+2 \sqrt{5}}}\right)}{5 \sqrt{10+2 \sqrt{5}}}"," ",0,"cosh(x)-1/5*5^(1/2)*(5^(1/2)-1)/(10-2*5^(1/2))^(1/2)*arctanh(4*cosh(x)/(10-2*5^(1/2))^(1/2))-1/5*(5^(1/2)+1)*5^(1/2)/(10+2*5^(1/2))^(1/2)*arctanh(4*cosh(x)/(10+2*5^(1/2))^(1/2))","A"
233,1,102,77,0.179000," ","int(cosh(x)*tanh(6*x),x)","\cosh \left(x \right)-\frac{2 \left(3+2 \sqrt{3}\right) \sqrt{3}\, \arctanh \left(\frac{8 \cosh \left(x \right)}{2 \sqrt{6}+2 \sqrt{2}}\right)}{9 \left(2 \sqrt{6}+2 \sqrt{2}\right)}-\frac{2 \left(-3+2 \sqrt{3}\right) \sqrt{3}\, \arctanh \left(\frac{8 \cosh \left(x \right)}{2 \sqrt{6}-2 \sqrt{2}}\right)}{9 \left(2 \sqrt{6}-2 \sqrt{2}\right)}-\frac{\arctanh \left(\cosh \left(x \right) \sqrt{2}\right) \sqrt{2}}{6}"," ",0,"cosh(x)-2/9*(3+2*3^(1/2))*3^(1/2)/(2*6^(1/2)+2*2^(1/2))*arctanh(8*cosh(x)/(2*6^(1/2)+2*2^(1/2)))-2/9*(-3+2*3^(1/2))*3^(1/2)/(2*6^(1/2)-2*2^(1/2))*arctanh(8*cosh(x)/(2*6^(1/2)-2*2^(1/2)))-1/6*arctanh(cosh(x)*2^(1/2))*2^(1/2)","A"
234,1,9,8,0.151000," ","int(cosh(x)*coth(2*x),x)","\cosh \left(x \right)-\arctanh \left({\mathrm e}^{x}\right)"," ",0,"cosh(x)-arctanh(exp(x))","A"
235,1,50,37,0.244000," ","int(cosh(x)*coth(3*x),x)","\frac{{\mathrm e}^{x}}{2}+\frac{{\mathrm e}^{-x}}{2}+\frac{\ln \left({\mathrm e}^{x}-1\right)}{3}-\frac{\ln \left({\mathrm e}^{x}+1\right)}{3}+\frac{\ln \left(1-{\mathrm e}^{x}+{\mathrm e}^{2 x}\right)}{6}-\frac{\ln \left(1+{\mathrm e}^{x}+{\mathrm e}^{2 x}\right)}{6}"," ",0,"1/2*exp(x)+1/2*exp(-x)+1/3*ln(exp(x)-1)-1/3*ln(exp(x)+1)+1/6*ln(1-exp(x)+exp(2*x))-1/6*ln(1+exp(x)+exp(2*x))","A"
236,1,63,20,0.262000," ","int(cosh(x)*coth(4*x),x)","\frac{{\mathrm e}^{x}}{2}+\frac{{\mathrm e}^{-x}}{2}-\frac{\ln \left({\mathrm e}^{x}+1\right)}{4}+\frac{\ln \left({\mathrm e}^{x}-1\right)}{4}+\frac{\ln \left(1+{\mathrm e}^{2 x}-{\mathrm e}^{x} \sqrt{2}\right) \sqrt{2}}{8}-\frac{\ln \left(1+{\mathrm e}^{2 x}+{\mathrm e}^{x} \sqrt{2}\right) \sqrt{2}}{8}"," ",0,"1/2*exp(x)+1/2*exp(-x)-1/4*ln(exp(x)+1)+1/4*ln(exp(x)-1)+1/8*ln(1+exp(2*x)-exp(x)*2^(1/2))*2^(1/2)-1/8*ln(1+exp(2*x)+exp(x)*2^(1/2))*2^(1/2)","B"
237,1,190,84,0.275000," ","int(cosh(x)*coth(5*x),x)","\frac{{\mathrm e}^{x}}{2}+\frac{{\mathrm e}^{-x}}{2}+\frac{\ln \left({\mathrm e}^{x}-1\right)}{5}-\frac{\ln \left({\mathrm e}^{x}+1\right)}{5}-\frac{\ln \left({\mathrm e}^{2 x}+\left(\frac{1}{2}-\frac{\sqrt{5}}{2}\right) {\mathrm e}^{x}+1\right)}{20}+\frac{\ln \left({\mathrm e}^{2 x}+\left(\frac{1}{2}-\frac{\sqrt{5}}{2}\right) {\mathrm e}^{x}+1\right) \sqrt{5}}{20}-\frac{\ln \left({\mathrm e}^{2 x}+\left(\frac{1}{2}+\frac{\sqrt{5}}{2}\right) {\mathrm e}^{x}+1\right)}{20}-\frac{\ln \left({\mathrm e}^{2 x}+\left(\frac{1}{2}+\frac{\sqrt{5}}{2}\right) {\mathrm e}^{x}+1\right) \sqrt{5}}{20}+\frac{\ln \left({\mathrm e}^{2 x}+\left(-\frac{1}{2}-\frac{\sqrt{5}}{2}\right) {\mathrm e}^{x}+1\right)}{20}+\frac{\ln \left({\mathrm e}^{2 x}+\left(-\frac{1}{2}-\frac{\sqrt{5}}{2}\right) {\mathrm e}^{x}+1\right) \sqrt{5}}{20}+\frac{\ln \left({\mathrm e}^{2 x}+\left(\frac{\sqrt{5}}{2}-\frac{1}{2}\right) {\mathrm e}^{x}+1\right)}{20}-\frac{\ln \left({\mathrm e}^{2 x}+\left(\frac{\sqrt{5}}{2}-\frac{1}{2}\right) {\mathrm e}^{x}+1\right) \sqrt{5}}{20}"," ",0,"1/2*exp(x)+1/2*exp(-x)+1/5*ln(exp(x)-1)-1/5*ln(exp(x)+1)-1/20*ln(exp(2*x)+(1/2-1/2*5^(1/2))*exp(x)+1)+1/20*ln(exp(2*x)+(1/2-1/2*5^(1/2))*exp(x)+1)*5^(1/2)-1/20*ln(exp(2*x)+(1/2+1/2*5^(1/2))*exp(x)+1)-1/20*ln(exp(2*x)+(1/2+1/2*5^(1/2))*exp(x)+1)*5^(1/2)+1/20*ln(exp(2*x)+(-1/2-1/2*5^(1/2))*exp(x)+1)+1/20*ln(exp(2*x)+(-1/2-1/2*5^(1/2))*exp(x)+1)*5^(1/2)+1/20*ln(exp(2*x)+(1/2*5^(1/2)-1/2)*exp(x)+1)-1/20*ln(exp(2*x)+(1/2*5^(1/2)-1/2)*exp(x)+1)*5^(1/2)","B"
238,1,87,28,0.289000," ","int(cosh(x)*coth(6*x),x)","\frac{{\mathrm e}^{x}}{2}+\frac{{\mathrm e}^{-x}}{2}+\frac{\ln \left({\mathrm e}^{x}-1\right)}{6}-\frac{\ln \left({\mathrm e}^{x}+1\right)}{6}-\frac{\ln \left(1+{\mathrm e}^{x}+{\mathrm e}^{2 x}\right)}{12}+\frac{\ln \left(1+{\mathrm e}^{2 x}-{\mathrm e}^{x} \sqrt{3}\right) \sqrt{3}}{12}-\frac{\ln \left(1+{\mathrm e}^{2 x}+{\mathrm e}^{x} \sqrt{3}\right) \sqrt{3}}{12}+\frac{\ln \left(1-{\mathrm e}^{x}+{\mathrm e}^{2 x}\right)}{12}"," ",0,"1/2*exp(x)+1/2*exp(-x)+1/6*ln(exp(x)-1)-1/6*ln(exp(x)+1)-1/12*ln(1+exp(x)+exp(2*x))+1/12*ln(1+exp(2*x)-exp(x)*3^(1/2))*3^(1/2)-1/12*ln(1+exp(2*x)+exp(x)*3^(1/2))*3^(1/2)+1/12*ln(1-exp(x)+exp(2*x))","B"
239,0,0,62,0.217000," ","int(cosh(x)*coth(n*x),x)","\int \cosh \left(x \right) \coth \left(n x \right)\, dx"," ",0,"int(cosh(x)*coth(n*x),x)","F"
240,1,44,12,0.224000," ","int(cosh(x)*sech(2*x),x)","\frac{i \sqrt{2}\, \ln \left({\mathrm e}^{2 x}+i \sqrt{2}\, {\mathrm e}^{x}-1\right)}{4}-\frac{i \sqrt{2}\, \ln \left({\mathrm e}^{2 x}-i \sqrt{2}\, {\mathrm e}^{x}-1\right)}{4}"," ",0,"1/4*I*2^(1/2)*ln(exp(2*x)+I*2^(1/2)*exp(x)-1)-1/4*I*2^(1/2)*ln(exp(2*x)-I*2^(1/2)*exp(x)-1)","C"
241,1,40,12,0.208000," ","int(cosh(x)*sech(3*x),x)","\frac{i \sqrt{3}\, \ln \left({\mathrm e}^{2 x}-\frac{1}{2}+\frac{i \sqrt{3}}{2}\right)}{6}-\frac{i \sqrt{3}\, \ln \left({\mathrm e}^{2 x}-\frac{1}{2}-\frac{i \sqrt{3}}{2}\right)}{6}"," ",0,"1/6*I*3^(1/2)*ln(exp(2*x)-1/2+1/2*I*3^(1/2))-1/6*I*3^(1/2)*ln(exp(2*x)-1/2-1/2*I*3^(1/2))","C"
242,1,40,49,0.257000," ","int(cosh(x)*sech(4*x),x)","2 \left(\munderset{\textit{\_R} =\RootOf \left(32768 \textit{\_Z}^{4}+512 \textit{\_Z}^{2}+1\right)}{\sum}\textit{\_R} \ln \left({\mathrm e}^{2 x}+\left(-4096 \textit{\_R}^{3}-48 \textit{\_R} \right) {\mathrm e}^{x}-1\right)\right)"," ",0,"2*sum(_R*ln(exp(2*x)+(-4096*_R^3-48*_R)*exp(x)-1),_R=RootOf(32768*_Z^4+512*_Z^2+1))","C"
243,1,41,49,0.277000," ","int(cosh(x)*sech(5*x),x)","2 \left(\munderset{\textit{\_R} =\RootOf \left(32000 \textit{\_Z}^{4}+400 \textit{\_Z}^{2}+1\right)}{\sum}\textit{\_R} \ln \left(-4000 \textit{\_R}^{3}+200 \textit{\_R}^{2}+{\mathrm e}^{2 x}-30 \textit{\_R} +1\right)\right)"," ",0,"2*sum(_R*ln(-4000*_R^3+200*_R^2+exp(2*x)-30*_R+1),_R=RootOf(32000*_Z^4+400*_Z^2+1))","C"
244,1,83,79,0.322000," ","int(cosh(x)*sech(6*x),x)","\frac{i \sqrt{2}\, \ln \left({\mathrm e}^{2 x}-i \sqrt{2}\, {\mathrm e}^{x}-1\right)}{12}-\frac{i \sqrt{2}\, \ln \left({\mathrm e}^{2 x}+i \sqrt{2}\, {\mathrm e}^{x}-1\right)}{12}+2 \left(\munderset{\textit{\_R} =\RootOf \left(331776 \textit{\_Z}^{4}+2304 \textit{\_Z}^{2}+1\right)}{\sum}\textit{\_R} \ln \left({\mathrm e}^{2 x}+\left(13824 \textit{\_R}^{3}+96 \textit{\_R} \right) {\mathrm e}^{x}-1\right)\right)"," ",0,"1/12*I*2^(1/2)*ln(exp(2*x)-I*2^(1/2)*exp(x)-1)-1/12*I*2^(1/2)*ln(exp(2*x)+I*2^(1/2)*exp(x)-1)+2*sum(_R*ln(exp(2*x)+(13824*_R^3+96*_R)*exp(x)-1),_R=RootOf(331776*_Z^4+2304*_Z^2+1))","C"
245,1,6,5,0.150000," ","int(cosh(x)*csch(2*x),x)","-\arctanh \left({\mathrm e}^{x}\right)"," ",0,"-arctanh(exp(x))","A"
246,1,24,17,0.223000," ","int(cosh(x)*csch(3*x),x)","\frac{\ln \left({\mathrm e}^{2 x}-1\right)}{3}-\frac{\ln \left(1+{\mathrm e}^{2 x}+{\mathrm e}^{4 x}\right)}{6}"," ",0,"1/3*ln(exp(2*x)-1)-1/6*ln(1+exp(2*x)+exp(4*x))","A"
247,1,53,18,0.220000," ","int(cosh(x)*csch(4*x),x)","-\frac{\ln \left({\mathrm e}^{x}+1\right)}{4}+\frac{\ln \left({\mathrm e}^{x}-1\right)}{4}+\frac{\ln \left(1+{\mathrm e}^{2 x}+{\mathrm e}^{x} \sqrt{2}\right) \sqrt{2}}{8}-\frac{\ln \left(1+{\mathrm e}^{2 x}-{\mathrm e}^{x} \sqrt{2}\right) \sqrt{2}}{8}"," ",0,"-1/4*ln(exp(x)+1)+1/4*ln(exp(x)-1)+1/8*ln(1+exp(2*x)+exp(x)*2^(1/2))*2^(1/2)-1/8*ln(1+exp(2*x)-exp(x)*2^(1/2))*2^(1/2)","B"
248,1,101,48,0.233000," ","int(cosh(x)*csch(5*x),x)","\frac{\ln \left({\mathrm e}^{2 x}-1\right)}{5}-\frac{\ln \left({\mathrm e}^{4 x}+\left(\frac{1}{2}+\frac{\sqrt{5}}{2}\right) {\mathrm e}^{2 x}+1\right)}{20}+\frac{\ln \left({\mathrm e}^{4 x}+\left(\frac{1}{2}+\frac{\sqrt{5}}{2}\right) {\mathrm e}^{2 x}+1\right) \sqrt{5}}{20}-\frac{\ln \left({\mathrm e}^{4 x}+\left(\frac{1}{2}-\frac{\sqrt{5}}{2}\right) {\mathrm e}^{2 x}+1\right)}{20}-\frac{\ln \left({\mathrm e}^{4 x}+\left(\frac{1}{2}-\frac{\sqrt{5}}{2}\right) {\mathrm e}^{2 x}+1\right) \sqrt{5}}{20}"," ",0,"1/5*ln(exp(2*x)-1)-1/20*ln(exp(4*x)+(1/2+1/2*5^(1/2))*exp(2*x)+1)+1/20*ln(exp(4*x)+(1/2+1/2*5^(1/2))*exp(2*x)+1)*5^(1/2)-1/20*ln(exp(4*x)+(1/2-1/2*5^(1/2))*exp(2*x)+1)-1/20*ln(exp(4*x)+(1/2-1/2*5^(1/2))*exp(2*x)+1)*5^(1/2)","B"
249,1,77,26,0.233000," ","int(cosh(x)*csch(6*x),x)","\frac{\ln \left({\mathrm e}^{x}-1\right)}{6}-\frac{\ln \left({\mathrm e}^{x}+1\right)}{6}+\frac{\ln \left(1+{\mathrm e}^{2 x}+{\mathrm e}^{x} \sqrt{3}\right) \sqrt{3}}{12}-\frac{\ln \left(1+{\mathrm e}^{2 x}-{\mathrm e}^{x} \sqrt{3}\right) \sqrt{3}}{12}-\frac{\ln \left(1+{\mathrm e}^{x}+{\mathrm e}^{2 x}\right)}{12}+\frac{\ln \left(1-{\mathrm e}^{x}+{\mathrm e}^{2 x}\right)}{12}"," ",0,"1/6*ln(exp(x)-1)-1/6*ln(exp(x)+1)+1/12*ln(1+exp(2*x)+exp(x)*3^(1/2))*3^(1/2)-1/12*ln(1+exp(2*x)-exp(x)*3^(1/2))*3^(1/2)-1/12*ln(1+exp(x)+exp(2*x))+1/12*ln(1-exp(x)+exp(2*x))","B"
250,0,0,70,0.131000," ","int(x^m*cosh(b*x+a)*sinh(b*x+a),x)","\int x^{m} \cosh \left(b x +a \right) \sinh \left(b x +a \right)\, dx"," ",0,"int(x^m*cosh(b*x+a)*sinh(b*x+a),x)","F"
251,1,203,82,0.044000," ","int(x^3*cosh(b*x+a)*sinh(b*x+a),x)","\frac{\frac{\left(b x +a \right)^{3} \left(\cosh^{2}\left(b x +a \right)\right)}{2}-\frac{3 \left(b x +a \right)^{2} \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{4}-\frac{\left(b x +a \right)^{3}}{4}+\frac{3 \left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{4}-\frac{3 \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{8}-\frac{3 b x}{8}-\frac{3 a}{8}-3 a \left(\frac{\left(b x +a \right)^{2} \left(\cosh^{2}\left(b x +a \right)\right)}{2}-\frac{\left(b x +a \right) \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{2}-\frac{\left(b x +a \right)^{2}}{4}+\frac{\left(\cosh^{2}\left(b x +a \right)\right)}{4}\right)+3 a^{2} \left(\frac{\left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{2}-\frac{\cosh \left(b x +a \right) \sinh \left(b x +a \right)}{4}-\frac{b x}{4}-\frac{a}{4}\right)-\frac{\left(\cosh^{2}\left(b x +a \right)\right) a^{3}}{2}}{b^{4}}"," ",0,"1/b^4*(1/2*(b*x+a)^3*cosh(b*x+a)^2-3/4*(b*x+a)^2*cosh(b*x+a)*sinh(b*x+a)-1/4*(b*x+a)^3+3/4*(b*x+a)*cosh(b*x+a)^2-3/8*cosh(b*x+a)*sinh(b*x+a)-3/8*b*x-3/8*a-3*a*(1/2*(b*x+a)^2*cosh(b*x+a)^2-1/2*(b*x+a)*cosh(b*x+a)*sinh(b*x+a)-1/4*(b*x+a)^2+1/4*cosh(b*x+a)^2)+3*a^2*(1/2*(b*x+a)*cosh(b*x+a)^2-1/4*cosh(b*x+a)*sinh(b*x+a)-1/4*b*x-1/4*a)-1/2*cosh(b*x+a)^2*a^3)","B"
252,1,114,56,0.048000," ","int(x^2*cosh(b*x+a)*sinh(b*x+a),x)","\frac{\frac{\left(b x +a \right)^{2} \left(\cosh^{2}\left(b x +a \right)\right)}{2}-\frac{\left(b x +a \right) \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{2}-\frac{\left(b x +a \right)^{2}}{4}+\frac{\left(\cosh^{2}\left(b x +a \right)\right)}{4}-2 a \left(\frac{\left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{2}-\frac{\cosh \left(b x +a \right) \sinh \left(b x +a \right)}{4}-\frac{b x}{4}-\frac{a}{4}\right)+\frac{\left(\cosh^{2}\left(b x +a \right)\right) a^{2}}{2}}{b^{3}}"," ",0,"1/b^3*(1/2*(b*x+a)^2*cosh(b*x+a)^2-1/2*(b*x+a)*cosh(b*x+a)*sinh(b*x+a)-1/4*(b*x+a)^2+1/4*cosh(b*x+a)^2-2*a*(1/2*(b*x+a)*cosh(b*x+a)^2-1/4*cosh(b*x+a)*sinh(b*x+a)-1/4*b*x-1/4*a)+1/2*cosh(b*x+a)^2*a^2)","B"
253,1,53,38,0.044000," ","int(x*cosh(b*x+a)*sinh(b*x+a),x)","\frac{\frac{\left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{2}-\frac{\cosh \left(b x +a \right) \sinh \left(b x +a \right)}{4}-\frac{b x}{4}-\frac{a}{4}-\frac{a \left(\cosh^{2}\left(b x +a \right)\right)}{2}}{b^{2}}"," ",0,"1/b^2*(1/2*(b*x+a)*cosh(b*x+a)^2-1/4*cosh(b*x+a)*sinh(b*x+a)-1/4*b*x-1/4*a-1/2*a*cosh(b*x+a)^2)","A"
254,1,14,13,0.016000," ","int(cosh(b*x+a)*sinh(b*x+a),x)","\frac{\cosh^{2}\left(b x +a \right)}{2 b}"," ",0,"1/2*cosh(b*x+a)^2/b","A"
255,1,26,23,0.115000," ","int(cosh(b*x+a)*sinh(b*x+a)/x,x)","\frac{{\mathrm e}^{-2 a} \Ei \left(1, 2 b x \right)}{4}-\frac{{\mathrm e}^{2 a} \Ei \left(1, -2 b x \right)}{4}"," ",0,"1/4*exp(-2*a)*Ei(1,2*b*x)-1/4*exp(2*a)*Ei(1,-2*b*x)","A"
256,1,56,37,0.134000," ","int(cosh(b*x+a)*sinh(b*x+a)/x^2,x)","\frac{{\mathrm e}^{-2 b x -2 a}}{4 x}-\frac{b \,{\mathrm e}^{-2 a} \Ei \left(1, 2 b x \right)}{2}-\frac{{\mathrm e}^{2 b x +2 a}}{4 x}-\frac{b \,{\mathrm e}^{2 a} \Ei \left(1, -2 b x \right)}{2}"," ",0,"1/4*exp(-2*b*x-2*a)/x-1/2*b*exp(-2*a)*Ei(1,2*b*x)-1/4*exp(2*b*x+2*a)/x-1/2*b*exp(2*a)*Ei(1,-2*b*x)","A"
257,1,90,56,0.125000," ","int(cosh(b*x+a)*sinh(b*x+a)/x^3,x)","-\frac{b \,{\mathrm e}^{-2 b x -2 a}}{4 x}+\frac{{\mathrm e}^{-2 b x -2 a}}{8 x^{2}}+\frac{b^{2} {\mathrm e}^{-2 a} \Ei \left(1, 2 b x \right)}{2}-\frac{{\mathrm e}^{2 b x +2 a}}{8 x^{2}}-\frac{b \,{\mathrm e}^{2 b x +2 a}}{4 x}-\frac{b^{2} {\mathrm e}^{2 a} \Ei \left(1, -2 b x \right)}{2}"," ",0,"-1/4*b*exp(-2*b*x-2*a)/x+1/8*exp(-2*b*x-2*a)/x^2+1/2*b^2*exp(-2*a)*Ei(1,2*b*x)-1/8*exp(2*b*x+2*a)/x^2-1/4*b*exp(2*b*x+2*a)/x-1/2*b^2*exp(2*a)*Ei(1,-2*b*x)","A"
258,1,124,75,0.125000," ","int(cosh(b*x+a)*sinh(b*x+a)/x^4,x)","\frac{b^{2} {\mathrm e}^{-2 b x -2 a}}{6 x}-\frac{b \,{\mathrm e}^{-2 b x -2 a}}{12 x^{2}}+\frac{{\mathrm e}^{-2 b x -2 a}}{12 x^{3}}-\frac{b^{3} {\mathrm e}^{-2 a} \Ei \left(1, 2 b x \right)}{3}-\frac{{\mathrm e}^{2 b x +2 a}}{12 x^{3}}-\frac{b \,{\mathrm e}^{2 b x +2 a}}{12 x^{2}}-\frac{b^{2} {\mathrm e}^{2 b x +2 a}}{6 x}-\frac{b^{3} {\mathrm e}^{2 a} \Ei \left(1, -2 b x \right)}{3}"," ",0,"1/6*b^2*exp(-2*b*x-2*a)/x-1/12*b*exp(-2*b*x-2*a)/x^2+1/12*exp(-2*b*x-2*a)/x^3-1/3*b^3*exp(-2*a)*Ei(1,2*b*x)-1/12*exp(2*b*x+2*a)/x^3-1/12*b*exp(2*b*x+2*a)/x^2-1/6*b^2*exp(2*b*x+2*a)/x-1/3*b^3*exp(2*a)*Ei(1,-2*b*x)","A"
259,0,0,124,0.399000," ","int(x^m*cosh(b*x+a)^2*sinh(b*x+a),x)","\int x^{m} \left(\cosh^{2}\left(b x +a \right)\right) \sinh \left(b x +a \right)\, dx"," ",0,"int(x^m*cosh(b*x+a)^2*sinh(b*x+a),x)","F"
260,1,244,103,0.316000," ","int(x^3*cosh(b*x+a)^2*sinh(b*x+a),x)","\frac{\frac{\left(b x +a \right)^{3} \left(\cosh^{3}\left(b x +a \right)\right)}{3}-\frac{2 \left(b x +a \right)^{2} \sinh \left(b x +a \right)}{3}-\frac{\left(b x +a \right)^{2} \sinh \left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{3}+\frac{4 \left(b x +a \right) \cosh \left(b x +a \right)}{3}-\frac{40 \sinh \left(b x +a \right)}{27}+\frac{2 \left(b x +a \right) \left(\cosh^{3}\left(b x +a \right)\right)}{9}-\frac{2 \left(\cosh^{2}\left(b x +a \right)\right) \sinh \left(b x +a \right)}{27}-3 a \left(\frac{\left(b x +a \right)^{2} \left(\cosh^{3}\left(b x +a \right)\right)}{3}-\frac{4 \left(b x +a \right) \sinh \left(b x +a \right)}{9}-\frac{2 \left(b x +a \right) \sinh \left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{9}+\frac{4 \cosh \left(b x +a \right)}{9}+\frac{2 \left(\cosh^{3}\left(b x +a \right)\right)}{27}\right)+3 a^{2} \left(\frac{\left(b x +a \right) \left(\cosh^{3}\left(b x +a \right)\right)}{3}-\frac{2 \sinh \left(b x +a \right)}{9}-\frac{\left(\cosh^{2}\left(b x +a \right)\right) \sinh \left(b x +a \right)}{9}\right)-\frac{a^{3} \left(\cosh^{3}\left(b x +a \right)\right)}{3}}{b^{4}}"," ",0,"1/b^4*(1/3*(b*x+a)^3*cosh(b*x+a)^3-2/3*(b*x+a)^2*sinh(b*x+a)-1/3*(b*x+a)^2*sinh(b*x+a)*cosh(b*x+a)^2+4/3*(b*x+a)*cosh(b*x+a)-40/27*sinh(b*x+a)+2/9*(b*x+a)*cosh(b*x+a)^3-2/27*cosh(b*x+a)^2*sinh(b*x+a)-3*a*(1/3*(b*x+a)^2*cosh(b*x+a)^3-4/9*(b*x+a)*sinh(b*x+a)-2/9*(b*x+a)*sinh(b*x+a)*cosh(b*x+a)^2+4/9*cosh(b*x+a)+2/27*cosh(b*x+a)^3)+3*a^2*(1/3*(b*x+a)*cosh(b*x+a)^3-2/9*sinh(b*x+a)-1/9*cosh(b*x+a)^2*sinh(b*x+a))-1/3*a^3*cosh(b*x+a)^3)","B"
261,1,131,73,0.317000," ","int(x^2*cosh(b*x+a)^2*sinh(b*x+a),x)","\frac{\frac{\left(b x +a \right)^{2} \left(\cosh^{3}\left(b x +a \right)\right)}{3}-\frac{4 \left(b x +a \right) \sinh \left(b x +a \right)}{9}-\frac{2 \left(b x +a \right) \sinh \left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{9}+\frac{4 \cosh \left(b x +a \right)}{9}+\frac{2 \left(\cosh^{3}\left(b x +a \right)\right)}{27}-2 a \left(\frac{\left(b x +a \right) \left(\cosh^{3}\left(b x +a \right)\right)}{3}-\frac{2 \sinh \left(b x +a \right)}{9}-\frac{\left(\cosh^{2}\left(b x +a \right)\right) \sinh \left(b x +a \right)}{9}\right)+\frac{a^{2} \left(\cosh^{3}\left(b x +a \right)\right)}{3}}{b^{3}}"," ",0,"1/b^3*(1/3*(b*x+a)^2*cosh(b*x+a)^3-4/9*(b*x+a)*sinh(b*x+a)-2/9*(b*x+a)*sinh(b*x+a)*cosh(b*x+a)^2+4/9*cosh(b*x+a)+2/27*cosh(b*x+a)^3-2*a*(1/3*(b*x+a)*cosh(b*x+a)^3-2/9*sinh(b*x+a)-1/9*cosh(b*x+a)^2*sinh(b*x+a))+1/3*a^2*cosh(b*x+a)^3)","A"
262,1,56,39,0.318000," ","int(x*cosh(b*x+a)^2*sinh(b*x+a),x)","\frac{\frac{\left(b x +a \right) \left(\cosh^{3}\left(b x +a \right)\right)}{3}-\frac{2 \sinh \left(b x +a \right)}{9}-\frac{\left(\cosh^{2}\left(b x +a \right)\right) \sinh \left(b x +a \right)}{9}-\frac{a \left(\cosh^{3}\left(b x +a \right)\right)}{3}}{b^{2}}"," ",0,"1/b^2*(1/3*(b*x+a)*cosh(b*x+a)^3-2/9*sinh(b*x+a)-1/9*cosh(b*x+a)^2*sinh(b*x+a)-1/3*a*cosh(b*x+a)^3)","A"
263,1,14,13,0.022000," ","int(cosh(b*x+a)^2*sinh(b*x+a),x)","\frac{\cosh^{3}\left(b x +a \right)}{3 b}"," ",0,"1/3*cosh(b*x+a)^3/b","A"
264,1,47,39,0.349000," ","int(cosh(b*x+a)^2*sinh(b*x+a)/x,x)","\frac{{\mathrm e}^{-3 a} \Ei \left(1, 3 b x \right)}{8}+\frac{{\mathrm e}^{-a} \Ei \left(1, b x \right)}{8}-\frac{{\mathrm e}^{a} \Ei \left(1, -b x \right)}{8}-\frac{{\mathrm e}^{3 a} \Ei \left(1, -3 b x \right)}{8}"," ",0,"1/8*exp(-3*a)*Ei(1,3*b*x)+1/8*exp(-a)*Ei(1,b*x)-1/8*exp(a)*Ei(1,-b*x)-1/8*exp(3*a)*Ei(1,-3*b*x)","A"
265,1,104,68,0.363000," ","int(cosh(b*x+a)^2*sinh(b*x+a)/x^2,x)","\frac{{\mathrm e}^{-3 b x -3 a}}{8 x}-\frac{3 b \,{\mathrm e}^{-3 a} \Ei \left(1, 3 b x \right)}{8}+\frac{{\mathrm e}^{-b x -a}}{8 x}-\frac{b \,{\mathrm e}^{-a} \Ei \left(1, b x \right)}{8}-\frac{{\mathrm e}^{b x +a}}{8 x}-\frac{b \,{\mathrm e}^{a} \Ei \left(1, -b x \right)}{8}-\frac{{\mathrm e}^{3 b x +3 a}}{8 x}-\frac{3 b \,{\mathrm e}^{3 a} \Ei \left(1, -3 b x \right)}{8}"," ",0,"1/8*exp(-3*b*x-3*a)/x-3/8*b*exp(-3*a)*Ei(1,3*b*x)+1/8*exp(-b*x-a)/x-1/8*b*exp(-a)*Ei(1,b*x)-1/8/x*exp(b*x+a)-1/8*b*exp(a)*Ei(1,-b*x)-1/8/x*exp(3*b*x+3*a)-3/8*b*exp(3*a)*Ei(1,-3*b*x)","A"
266,1,169,103,0.367000," ","int(cosh(b*x+a)^2*sinh(b*x+a)/x^3,x)","-\frac{3 b \,{\mathrm e}^{-3 b x -3 a}}{16 x}+\frac{{\mathrm e}^{-3 b x -3 a}}{16 x^{2}}+\frac{9 b^{2} {\mathrm e}^{-3 a} \Ei \left(1, 3 b x \right)}{16}-\frac{b \,{\mathrm e}^{-b x -a}}{16 x}+\frac{{\mathrm e}^{-b x -a}}{16 x^{2}}+\frac{b^{2} {\mathrm e}^{-a} \Ei \left(1, b x \right)}{16}-\frac{{\mathrm e}^{b x +a}}{16 x^{2}}-\frac{b \,{\mathrm e}^{b x +a}}{16 x}-\frac{b^{2} {\mathrm e}^{a} \Ei \left(1, -b x \right)}{16}-\frac{{\mathrm e}^{3 b x +3 a}}{16 x^{2}}-\frac{3 b \,{\mathrm e}^{3 b x +3 a}}{16 x}-\frac{9 b^{2} {\mathrm e}^{3 a} \Ei \left(1, -3 b x \right)}{16}"," ",0,"-3/16*b*exp(-3*b*x-3*a)/x+1/16*exp(-3*b*x-3*a)/x^2+9/16*b^2*exp(-3*a)*Ei(1,3*b*x)-1/16*b*exp(-b*x-a)/x+1/16*exp(-b*x-a)/x^2+1/16*b^2*exp(-a)*Ei(1,b*x)-1/16/x^2*exp(b*x+a)-1/16*b/x*exp(b*x+a)-1/16*b^2*exp(a)*Ei(1,-b*x)-1/16/x^2*exp(3*b*x+3*a)-3/16*b/x*exp(3*b*x+3*a)-9/16*b^2*exp(3*a)*Ei(1,-3*b*x)","A"
267,1,234,134,0.374000," ","int(cosh(b*x+a)^2*sinh(b*x+a)/x^4,x)","\frac{3 b^{2} {\mathrm e}^{-3 b x -3 a}}{16 x}-\frac{b \,{\mathrm e}^{-3 b x -3 a}}{16 x^{2}}+\frac{{\mathrm e}^{-3 b x -3 a}}{24 x^{3}}-\frac{9 b^{3} {\mathrm e}^{-3 a} \Ei \left(1, 3 b x \right)}{16}+\frac{b^{2} {\mathrm e}^{-b x -a}}{48 x}-\frac{b \,{\mathrm e}^{-b x -a}}{48 x^{2}}+\frac{{\mathrm e}^{-b x -a}}{24 x^{3}}-\frac{b^{3} {\mathrm e}^{-a} \Ei \left(1, b x \right)}{48}-\frac{{\mathrm e}^{b x +a}}{24 x^{3}}-\frac{b \,{\mathrm e}^{b x +a}}{48 x^{2}}-\frac{b^{2} {\mathrm e}^{b x +a}}{48 x}-\frac{b^{3} {\mathrm e}^{a} \Ei \left(1, -b x \right)}{48}-\frac{{\mathrm e}^{3 b x +3 a}}{24 x^{3}}-\frac{b \,{\mathrm e}^{3 b x +3 a}}{16 x^{2}}-\frac{3 b^{2} {\mathrm e}^{3 b x +3 a}}{16 x}-\frac{9 b^{3} {\mathrm e}^{3 a} \Ei \left(1, -3 b x \right)}{16}"," ",0,"3/16*b^2*exp(-3*b*x-3*a)/x-1/16*b*exp(-3*b*x-3*a)/x^2+1/24*exp(-3*b*x-3*a)/x^3-9/16*b^3*exp(-3*a)*Ei(1,3*b*x)+1/48*b^2*exp(-b*x-a)/x-1/48*b*exp(-b*x-a)/x^2+1/24*exp(-b*x-a)/x^3-1/48*b^3*exp(-a)*Ei(1,b*x)-1/24/x^3*exp(b*x+a)-1/48*b/x^2*exp(b*x+a)-1/48*b^2/x*exp(b*x+a)-1/48*b^3*exp(a)*Ei(1,-b*x)-1/24/x^3*exp(3*b*x+3*a)-1/16*b/x^2*exp(3*b*x+3*a)-3/16*b^2/x*exp(3*b*x+3*a)-9/16*b^3*exp(3*a)*Ei(1,-3*b*x)","A"
268,0,0,143,0.425000," ","int(x^m*cosh(b*x+a)^3*sinh(b*x+a),x)","\int x^{m} \left(\cosh^{3}\left(b x +a \right)\right) \sinh \left(b x +a \right)\, dx"," ",0,"int(x^m*cosh(b*x+a)^3*sinh(b*x+a),x)","F"
269,1,304,137,0.334000," ","int(x^3*cosh(b*x+a)^3*sinh(b*x+a),x)","\frac{\frac{\left(b x +a \right)^{3} \left(\cosh^{4}\left(b x +a \right)\right)}{4}-\frac{3 \left(b x +a \right)^{2} \sinh \left(b x +a \right) \left(\cosh^{3}\left(b x +a \right)\right)}{16}-\frac{9 \left(b x +a \right)^{2} \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{32}-\frac{3 \left(b x +a \right)^{3}}{32}+\frac{3 \left(b x +a \right) \left(\cosh^{4}\left(b x +a \right)\right)}{32}-\frac{3 \left(\cosh^{3}\left(b x +a \right)\right) \sinh \left(b x +a \right)}{128}-\frac{45 \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{256}-\frac{45 b x}{256}-\frac{45 a}{256}+\frac{9 \left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{32}-3 a \left(\frac{\left(b x +a \right)^{2} \left(\cosh^{4}\left(b x +a \right)\right)}{4}-\frac{\left(b x +a \right) \sinh \left(b x +a \right) \left(\cosh^{3}\left(b x +a \right)\right)}{8}-\frac{3 \left(b x +a \right) \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{16}-\frac{3 \left(b x +a \right)^{2}}{32}+\frac{\left(\cosh^{4}\left(b x +a \right)\right)}{32}+\frac{3 \left(\cosh^{2}\left(b x +a \right)\right)}{32}\right)+3 a^{2} \left(\frac{\left(b x +a \right) \left(\cosh^{4}\left(b x +a \right)\right)}{4}-\frac{\left(\cosh^{3}\left(b x +a \right)\right) \sinh \left(b x +a \right)}{16}-\frac{3 \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{32}-\frac{3 b x}{32}-\frac{3 a}{32}\right)-\frac{a^{3} \left(\cosh^{4}\left(b x +a \right)\right)}{4}}{b^{4}}"," ",0,"1/b^4*(1/4*(b*x+a)^3*cosh(b*x+a)^4-3/16*(b*x+a)^2*sinh(b*x+a)*cosh(b*x+a)^3-9/32*(b*x+a)^2*cosh(b*x+a)*sinh(b*x+a)-3/32*(b*x+a)^3+3/32*(b*x+a)*cosh(b*x+a)^4-3/128*cosh(b*x+a)^3*sinh(b*x+a)-45/256*cosh(b*x+a)*sinh(b*x+a)-45/256*b*x-45/256*a+9/32*(b*x+a)*cosh(b*x+a)^2-3*a*(1/4*(b*x+a)^2*cosh(b*x+a)^4-1/8*(b*x+a)*sinh(b*x+a)*cosh(b*x+a)^3-3/16*(b*x+a)*cosh(b*x+a)*sinh(b*x+a)-3/32*(b*x+a)^2+1/32*cosh(b*x+a)^4+3/32*cosh(b*x+a)^2)+3*a^2*(1/4*(b*x+a)*cosh(b*x+a)^4-1/16*cosh(b*x+a)^3*sinh(b*x+a)-3/32*cosh(b*x+a)*sinh(b*x+a)-3/32*b*x-3/32*a)-1/4*a^3*cosh(b*x+a)^4)","B"
270,1,161,89,0.330000," ","int(x^2*cosh(b*x+a)^3*sinh(b*x+a),x)","\frac{\frac{\left(b x +a \right)^{2} \left(\cosh^{4}\left(b x +a \right)\right)}{4}-\frac{\left(b x +a \right) \sinh \left(b x +a \right) \left(\cosh^{3}\left(b x +a \right)\right)}{8}-\frac{3 \left(b x +a \right) \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{16}-\frac{3 \left(b x +a \right)^{2}}{32}+\frac{\left(\cosh^{4}\left(b x +a \right)\right)}{32}+\frac{3 \left(\cosh^{2}\left(b x +a \right)\right)}{32}-2 a \left(\frac{\left(b x +a \right) \left(\cosh^{4}\left(b x +a \right)\right)}{4}-\frac{\left(\cosh^{3}\left(b x +a \right)\right) \sinh \left(b x +a \right)}{16}-\frac{3 \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{32}-\frac{3 b x}{32}-\frac{3 a}{32}\right)+\frac{a^{2} \left(\cosh^{4}\left(b x +a \right)\right)}{4}}{b^{3}}"," ",0,"1/b^3*(1/4*(b*x+a)^2*cosh(b*x+a)^4-1/8*(b*x+a)*sinh(b*x+a)*cosh(b*x+a)^3-3/16*(b*x+a)*cosh(b*x+a)*sinh(b*x+a)-3/32*(b*x+a)^2+1/32*cosh(b*x+a)^4+3/32*cosh(b*x+a)^2-2*a*(1/4*(b*x+a)*cosh(b*x+a)^4-1/16*cosh(b*x+a)^3*sinh(b*x+a)-3/32*cosh(b*x+a)*sinh(b*x+a)-3/32*b*x-3/32*a)+1/4*a^2*cosh(b*x+a)^4)","A"
271,1,69,57,0.302000," ","int(x*cosh(b*x+a)^3*sinh(b*x+a),x)","\frac{\frac{\left(b x +a \right) \left(\cosh^{4}\left(b x +a \right)\right)}{4}-\frac{\left(\cosh^{3}\left(b x +a \right)\right) \sinh \left(b x +a \right)}{16}-\frac{3 \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{32}-\frac{3 b x}{32}-\frac{3 a}{32}-\frac{a \left(\cosh^{4}\left(b x +a \right)\right)}{4}}{b^{2}}"," ",0,"1/b^2*(1/4*(b*x+a)*cosh(b*x+a)^4-1/16*cosh(b*x+a)^3*sinh(b*x+a)-3/32*cosh(b*x+a)*sinh(b*x+a)-3/32*b*x-3/32*a-1/4*a*cosh(b*x+a)^4)","A"
272,1,14,13,0.022000," ","int(cosh(b*x+a)^3*sinh(b*x+a),x)","\frac{\cosh^{4}\left(b x +a \right)}{4 b}"," ",0,"1/4*cosh(b*x+a)^4/b","A"
273,1,50,45,0.467000," ","int(cosh(b*x+a)^3*sinh(b*x+a)/x,x)","\frac{{\mathrm e}^{-4 a} \Ei \left(1, 4 b x \right)}{16}+\frac{{\mathrm e}^{-2 a} \Ei \left(1, 2 b x \right)}{8}-\frac{{\mathrm e}^{2 a} \Ei \left(1, -2 b x \right)}{8}-\frac{{\mathrm e}^{4 a} \Ei \left(1, -4 b x \right)}{16}"," ",0,"1/16*exp(-4*a)*Ei(1,4*b*x)+1/8*exp(-2*a)*Ei(1,2*b*x)-1/8*exp(2*a)*Ei(1,-2*b*x)-1/16*exp(4*a)*Ei(1,-4*b*x)","A"
274,1,110,77,0.483000," ","int(cosh(b*x+a)^3*sinh(b*x+a)/x^2,x)","\frac{{\mathrm e}^{-4 b x -4 a}}{16 x}-\frac{b \,{\mathrm e}^{-4 a} \Ei \left(1, 4 b x \right)}{4}+\frac{{\mathrm e}^{-2 b x -2 a}}{8 x}-\frac{b \,{\mathrm e}^{-2 a} \Ei \left(1, 2 b x \right)}{4}-\frac{{\mathrm e}^{2 b x +2 a}}{8 x}-\frac{b \,{\mathrm e}^{2 a} \Ei \left(1, -2 b x \right)}{4}-\frac{{\mathrm e}^{4 b x +4 a}}{16 x}-\frac{b \,{\mathrm e}^{4 a} \Ei \left(1, -4 b x \right)}{4}"," ",0,"1/16*exp(-4*b*x-4*a)/x-1/4*b*exp(-4*a)*Ei(1,4*b*x)+1/8*exp(-2*b*x-2*a)/x-1/4*b*exp(-2*a)*Ei(1,2*b*x)-1/8*exp(2*b*x+2*a)/x-1/4*b*exp(2*a)*Ei(1,-2*b*x)-1/16/x*exp(4*b*x+4*a)-1/4*b*exp(4*a)*Ei(1,-4*b*x)","A"
275,1,178,113,0.520000," ","int(cosh(b*x+a)^3*sinh(b*x+a)/x^3,x)","-\frac{b \,{\mathrm e}^{-4 b x -4 a}}{8 x}+\frac{{\mathrm e}^{-4 b x -4 a}}{32 x^{2}}+\frac{b^{2} {\mathrm e}^{-4 a} \Ei \left(1, 4 b x \right)}{2}-\frac{b \,{\mathrm e}^{-2 b x -2 a}}{8 x}+\frac{{\mathrm e}^{-2 b x -2 a}}{16 x^{2}}+\frac{b^{2} {\mathrm e}^{-2 a} \Ei \left(1, 2 b x \right)}{4}-\frac{{\mathrm e}^{2 b x +2 a}}{16 x^{2}}-\frac{b \,{\mathrm e}^{2 b x +2 a}}{8 x}-\frac{b^{2} {\mathrm e}^{2 a} \Ei \left(1, -2 b x \right)}{4}-\frac{{\mathrm e}^{4 b x +4 a}}{32 x^{2}}-\frac{b \,{\mathrm e}^{4 b x +4 a}}{8 x}-\frac{b^{2} {\mathrm e}^{4 a} \Ei \left(1, -4 b x \right)}{2}"," ",0,"-1/8*b*exp(-4*b*x-4*a)/x+1/32*exp(-4*b*x-4*a)/x^2+1/2*b^2*exp(-4*a)*Ei(1,4*b*x)-1/8*b*exp(-2*b*x-2*a)/x+1/16*exp(-2*b*x-2*a)/x^2+1/4*b^2*exp(-2*a)*Ei(1,2*b*x)-1/16*exp(2*b*x+2*a)/x^2-1/8*b*exp(2*b*x+2*a)/x-1/4*b^2*exp(2*a)*Ei(1,-2*b*x)-1/32/x^2*exp(4*b*x+4*a)-1/8*b/x*exp(4*b*x+4*a)-1/2*b^2*exp(4*a)*Ei(1,-4*b*x)","A"
276,1,246,149,0.483000," ","int(cosh(b*x+a)^3*sinh(b*x+a)/x^4,x)","\frac{b^{2} {\mathrm e}^{-4 b x -4 a}}{6 x}-\frac{b \,{\mathrm e}^{-4 b x -4 a}}{24 x^{2}}+\frac{{\mathrm e}^{-4 b x -4 a}}{48 x^{3}}-\frac{2 b^{3} {\mathrm e}^{-4 a} \Ei \left(1, 4 b x \right)}{3}+\frac{b^{2} {\mathrm e}^{-2 b x -2 a}}{12 x}-\frac{b \,{\mathrm e}^{-2 b x -2 a}}{24 x^{2}}+\frac{{\mathrm e}^{-2 b x -2 a}}{24 x^{3}}-\frac{b^{3} {\mathrm e}^{-2 a} \Ei \left(1, 2 b x \right)}{6}-\frac{{\mathrm e}^{2 b x +2 a}}{24 x^{3}}-\frac{b \,{\mathrm e}^{2 b x +2 a}}{24 x^{2}}-\frac{b^{2} {\mathrm e}^{2 b x +2 a}}{12 x}-\frac{b^{3} {\mathrm e}^{2 a} \Ei \left(1, -2 b x \right)}{6}-\frac{{\mathrm e}^{4 b x +4 a}}{48 x^{3}}-\frac{b \,{\mathrm e}^{4 b x +4 a}}{24 x^{2}}-\frac{b^{2} {\mathrm e}^{4 b x +4 a}}{6 x}-\frac{2 b^{3} {\mathrm e}^{4 a} \Ei \left(1, -4 b x \right)}{3}"," ",0,"1/6*b^2*exp(-4*b*x-4*a)/x-1/24*b*exp(-4*b*x-4*a)/x^2+1/48*exp(-4*b*x-4*a)/x^3-2/3*b^3*exp(-4*a)*Ei(1,4*b*x)+1/12*b^2*exp(-2*b*x-2*a)/x-1/24*b*exp(-2*b*x-2*a)/x^2+1/24*exp(-2*b*x-2*a)/x^3-1/6*b^3*exp(-2*a)*Ei(1,2*b*x)-1/24*exp(2*b*x+2*a)/x^3-1/24*b*exp(2*b*x+2*a)/x^2-1/12*b^2*exp(2*b*x+2*a)/x-1/6*b^3*exp(2*a)*Ei(1,-2*b*x)-1/48/x^3*exp(4*b*x+4*a)-1/24*b/x^2*exp(4*b*x+4*a)-1/6*b^2/x*exp(4*b*x+4*a)-2/3*b^3*exp(4*a)*Ei(1,-4*b*x)","A"
277,1,7,6,0.130000," ","int(cosh(x)*sinh(x)/x,x)","\frac{\Shi \left(2 x \right)}{2}"," ",0,"1/2*Shi(2*x)","A"
278,1,15,14,0.121000," ","int(cosh(x)*sinh(x)/x^2,x)","\Chi \left(2 x \right)-\frac{\sinh \left(2 x \right)}{2 x}"," ",0,"Chi(2*x)-1/2*sinh(2*x)/x","A"
279,1,24,23,0.112000," ","int(cosh(x)*sinh(x)/x^3,x)","-\frac{\cosh \left(2 x \right)}{2 x}+\Shi \left(2 x \right)-\frac{\sinh \left(2 x \right)}{4 x^{2}}"," ",0,"-1/2*cosh(2*x)/x+Shi(2*x)-1/4*sinh(2*x)/x^2","A"
280,0,0,124,0.484000," ","int(x^m*cosh(b*x+a)*sinh(b*x+a)^2,x)","\int x^{m} \cosh \left(b x +a \right) \left(\sinh^{2}\left(b x +a \right)\right)\, dx"," ",0,"int(x^m*cosh(b*x+a)*sinh(b*x+a)^2,x)","F"
281,1,244,103,0.304000," ","int(x^3*cosh(b*x+a)*sinh(b*x+a)^2,x)","\frac{\frac{\left(b x +a \right)^{3} \left(\sinh^{3}\left(b x +a \right)\right)}{3}+\frac{2 \left(b x +a \right)^{2} \cosh \left(b x +a \right)}{3}-\frac{\left(b x +a \right)^{2} \cosh \left(b x +a \right) \left(\sinh^{2}\left(b x +a \right)\right)}{3}-\frac{4 \left(b x +a \right) \sinh \left(b x +a \right)}{3}+\frac{40 \cosh \left(b x +a \right)}{27}+\frac{2 \left(b x +a \right) \left(\sinh^{3}\left(b x +a \right)\right)}{9}-\frac{2 \cosh \left(b x +a \right) \left(\sinh^{2}\left(b x +a \right)\right)}{27}-3 a \left(\frac{\left(b x +a \right)^{2} \left(\sinh^{3}\left(b x +a \right)\right)}{3}+\frac{4 \left(b x +a \right) \cosh \left(b x +a \right)}{9}-\frac{2 \left(b x +a \right) \cosh \left(b x +a \right) \left(\sinh^{2}\left(b x +a \right)\right)}{9}-\frac{4 \sinh \left(b x +a \right)}{9}+\frac{2 \left(\sinh^{3}\left(b x +a \right)\right)}{27}\right)+3 a^{2} \left(\frac{\left(b x +a \right) \left(\sinh^{3}\left(b x +a \right)\right)}{3}+\frac{2 \cosh \left(b x +a \right)}{9}-\frac{\cosh \left(b x +a \right) \left(\sinh^{2}\left(b x +a \right)\right)}{9}\right)-\frac{a^{3} \left(\sinh^{3}\left(b x +a \right)\right)}{3}}{b^{4}}"," ",0,"1/b^4*(1/3*(b*x+a)^3*sinh(b*x+a)^3+2/3*(b*x+a)^2*cosh(b*x+a)-1/3*(b*x+a)^2*cosh(b*x+a)*sinh(b*x+a)^2-4/3*(b*x+a)*sinh(b*x+a)+40/27*cosh(b*x+a)+2/9*(b*x+a)*sinh(b*x+a)^3-2/27*cosh(b*x+a)*sinh(b*x+a)^2-3*a*(1/3*(b*x+a)^2*sinh(b*x+a)^3+4/9*(b*x+a)*cosh(b*x+a)-2/9*(b*x+a)*cosh(b*x+a)*sinh(b*x+a)^2-4/9*sinh(b*x+a)+2/27*sinh(b*x+a)^3)+3*a^2*(1/3*(b*x+a)*sinh(b*x+a)^3+2/9*cosh(b*x+a)-1/9*cosh(b*x+a)*sinh(b*x+a)^2)-1/3*a^3*sinh(b*x+a)^3)","B"
282,1,131,73,0.331000," ","int(x^2*cosh(b*x+a)*sinh(b*x+a)^2,x)","\frac{\frac{\left(b x +a \right)^{2} \left(\sinh^{3}\left(b x +a \right)\right)}{3}+\frac{4 \left(b x +a \right) \cosh \left(b x +a \right)}{9}-\frac{2 \left(b x +a \right) \cosh \left(b x +a \right) \left(\sinh^{2}\left(b x +a \right)\right)}{9}-\frac{4 \sinh \left(b x +a \right)}{9}+\frac{2 \left(\sinh^{3}\left(b x +a \right)\right)}{27}-2 a \left(\frac{\left(b x +a \right) \left(\sinh^{3}\left(b x +a \right)\right)}{3}+\frac{2 \cosh \left(b x +a \right)}{9}-\frac{\cosh \left(b x +a \right) \left(\sinh^{2}\left(b x +a \right)\right)}{9}\right)+\frac{a^{2} \left(\sinh^{3}\left(b x +a \right)\right)}{3}}{b^{3}}"," ",0,"1/b^3*(1/3*(b*x+a)^2*sinh(b*x+a)^3+4/9*(b*x+a)*cosh(b*x+a)-2/9*(b*x+a)*cosh(b*x+a)*sinh(b*x+a)^2-4/9*sinh(b*x+a)+2/27*sinh(b*x+a)^3-2*a*(1/3*(b*x+a)*sinh(b*x+a)^3+2/9*cosh(b*x+a)-1/9*cosh(b*x+a)*sinh(b*x+a)^2)+1/3*a^2*sinh(b*x+a)^3)","A"
283,1,56,39,0.337000," ","int(x*cosh(b*x+a)*sinh(b*x+a)^2,x)","\frac{\frac{\left(b x +a \right) \left(\sinh^{3}\left(b x +a \right)\right)}{3}+\frac{2 \cosh \left(b x +a \right)}{9}-\frac{\cosh \left(b x +a \right) \left(\sinh^{2}\left(b x +a \right)\right)}{9}-\frac{a \left(\sinh^{3}\left(b x +a \right)\right)}{3}}{b^{2}}"," ",0,"1/b^2*(1/3*(b*x+a)*sinh(b*x+a)^3+2/9*cosh(b*x+a)-1/9*cosh(b*x+a)*sinh(b*x+a)^2-1/3*a*sinh(b*x+a)^3)","A"
284,1,14,13,0.020000," ","int(cosh(b*x+a)*sinh(b*x+a)^2,x)","\frac{\sinh^{3}\left(b x +a \right)}{3 b}"," ",0,"1/3*sinh(b*x+a)^3/b","A"
285,1,47,39,0.589000," ","int(cosh(b*x+a)*sinh(b*x+a)^2/x,x)","-\frac{{\mathrm e}^{-3 a} \Ei \left(1, 3 b x \right)}{8}+\frac{{\mathrm e}^{-a} \Ei \left(1, b x \right)}{8}+\frac{{\mathrm e}^{a} \Ei \left(1, -b x \right)}{8}-\frac{{\mathrm e}^{3 a} \Ei \left(1, -3 b x \right)}{8}"," ",0,"-1/8*exp(-3*a)*Ei(1,3*b*x)+1/8*exp(-a)*Ei(1,b*x)+1/8*exp(a)*Ei(1,-b*x)-1/8*exp(3*a)*Ei(1,-3*b*x)","A"
286,1,104,68,0.573000," ","int(cosh(b*x+a)*sinh(b*x+a)^2/x^2,x)","-\frac{{\mathrm e}^{-3 b x -3 a}}{8 x}+\frac{3 b \,{\mathrm e}^{-3 a} \Ei \left(1, 3 b x \right)}{8}+\frac{{\mathrm e}^{-b x -a}}{8 x}-\frac{b \,{\mathrm e}^{-a} \Ei \left(1, b x \right)}{8}+\frac{{\mathrm e}^{b x +a}}{8 x}+\frac{b \,{\mathrm e}^{a} \Ei \left(1, -b x \right)}{8}-\frac{{\mathrm e}^{3 b x +3 a}}{8 x}-\frac{3 b \,{\mathrm e}^{3 a} \Ei \left(1, -3 b x \right)}{8}"," ",0,"-1/8*exp(-3*b*x-3*a)/x+3/8*b*exp(-3*a)*Ei(1,3*b*x)+1/8*exp(-b*x-a)/x-1/8*b*exp(-a)*Ei(1,b*x)+1/8/x*exp(b*x+a)+1/8*b*exp(a)*Ei(1,-b*x)-1/8/x*exp(3*b*x+3*a)-3/8*b*exp(3*a)*Ei(1,-3*b*x)","A"
287,1,169,103,0.579000," ","int(cosh(b*x+a)*sinh(b*x+a)^2/x^3,x)","\frac{3 b \,{\mathrm e}^{-3 b x -3 a}}{16 x}-\frac{{\mathrm e}^{-3 b x -3 a}}{16 x^{2}}-\frac{9 b^{2} {\mathrm e}^{-3 a} \Ei \left(1, 3 b x \right)}{16}-\frac{b \,{\mathrm e}^{-b x -a}}{16 x}+\frac{{\mathrm e}^{-b x -a}}{16 x^{2}}+\frac{b^{2} {\mathrm e}^{-a} \Ei \left(1, b x \right)}{16}+\frac{{\mathrm e}^{b x +a}}{16 x^{2}}+\frac{b \,{\mathrm e}^{b x +a}}{16 x}+\frac{b^{2} {\mathrm e}^{a} \Ei \left(1, -b x \right)}{16}-\frac{{\mathrm e}^{3 b x +3 a}}{16 x^{2}}-\frac{3 b \,{\mathrm e}^{3 b x +3 a}}{16 x}-\frac{9 b^{2} {\mathrm e}^{3 a} \Ei \left(1, -3 b x \right)}{16}"," ",0,"3/16*b*exp(-3*b*x-3*a)/x-1/16*exp(-3*b*x-3*a)/x^2-9/16*b^2*exp(-3*a)*Ei(1,3*b*x)-1/16*b*exp(-b*x-a)/x+1/16*exp(-b*x-a)/x^2+1/16*b^2*exp(-a)*Ei(1,b*x)+1/16/x^2*exp(b*x+a)+1/16*b/x*exp(b*x+a)+1/16*b^2*exp(a)*Ei(1,-b*x)-1/16/x^2*exp(3*b*x+3*a)-3/16*b/x*exp(3*b*x+3*a)-9/16*b^2*exp(3*a)*Ei(1,-3*b*x)","A"
288,1,234,134,0.582000," ","int(cosh(b*x+a)*sinh(b*x+a)^2/x^4,x)","-\frac{3 b^{2} {\mathrm e}^{-3 b x -3 a}}{16 x}+\frac{b \,{\mathrm e}^{-3 b x -3 a}}{16 x^{2}}-\frac{{\mathrm e}^{-3 b x -3 a}}{24 x^{3}}+\frac{9 b^{3} {\mathrm e}^{-3 a} \Ei \left(1, 3 b x \right)}{16}+\frac{b^{2} {\mathrm e}^{-b x -a}}{48 x}-\frac{b \,{\mathrm e}^{-b x -a}}{48 x^{2}}+\frac{{\mathrm e}^{-b x -a}}{24 x^{3}}-\frac{b^{3} {\mathrm e}^{-a} \Ei \left(1, b x \right)}{48}+\frac{{\mathrm e}^{b x +a}}{24 x^{3}}+\frac{b \,{\mathrm e}^{b x +a}}{48 x^{2}}+\frac{b^{2} {\mathrm e}^{b x +a}}{48 x}+\frac{b^{3} {\mathrm e}^{a} \Ei \left(1, -b x \right)}{48}-\frac{{\mathrm e}^{3 b x +3 a}}{24 x^{3}}-\frac{b \,{\mathrm e}^{3 b x +3 a}}{16 x^{2}}-\frac{3 b^{2} {\mathrm e}^{3 b x +3 a}}{16 x}-\frac{9 b^{3} {\mathrm e}^{3 a} \Ei \left(1, -3 b x \right)}{16}"," ",0,"-3/16*b^2*exp(-3*b*x-3*a)/x+1/16*b*exp(-3*b*x-3*a)/x^2-1/24*exp(-3*b*x-3*a)/x^3+9/16*b^3*exp(-3*a)*Ei(1,3*b*x)+1/48*b^2*exp(-b*x-a)/x-1/48*b*exp(-b*x-a)/x^2+1/24*exp(-b*x-a)/x^3-1/48*b^3*exp(-a)*Ei(1,b*x)+1/24/x^3*exp(b*x+a)+1/48*b/x^2*exp(b*x+a)+1/48*b^2/x*exp(b*x+a)+1/48*b^3*exp(a)*Ei(1,-b*x)-1/24/x^3*exp(3*b*x+3*a)-1/16*b/x^2*exp(3*b*x+3*a)-3/16*b^2/x*exp(3*b*x+3*a)-9/16*b^3*exp(3*a)*Ei(1,-3*b*x)","A"
289,0,0,87,0.427000," ","int(x^m*cosh(b*x+a)^2*sinh(b*x+a)^2,x)","\int x^{m} \left(\cosh^{2}\left(b x +a \right)\right) \left(\sinh^{2}\left(b x +a \right)\right)\, dx"," ",0,"int(x^m*cosh(b*x+a)^2*sinh(b*x+a)^2,x)","F"
290,1,404,69,0.340000," ","int(x^3*cosh(b*x+a)^2*sinh(b*x+a)^2,x)","\frac{\frac{\left(b x +a \right)^{3} \sinh \left(b x +a \right) \left(\cosh^{3}\left(b x +a \right)\right)}{4}-\frac{\left(b x +a \right)^{3} \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{8}-\frac{\left(b x +a \right)^{4}}{32}-\frac{3 \left(b x +a \right)^{2} \left(\cosh^{4}\left(b x +a \right)\right)}{16}+\frac{3 \left(b x +a \right) \sinh \left(b x +a \right) \left(\cosh^{3}\left(b x +a \right)\right)}{32}-\frac{3 \left(b x +a \right) \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{64}-\frac{3 \left(b x +a \right)^{2}}{128}-\frac{3 \left(\cosh^{4}\left(b x +a \right)\right)}{128}+\frac{3 \left(\cosh^{2}\left(b x +a \right)\right)}{128}+\frac{3 \left(b x +a \right)^{2} \left(\cosh^{2}\left(b x +a \right)\right)}{16}-3 a \left(\frac{\left(b x +a \right)^{2} \sinh \left(b x +a \right) \left(\cosh^{3}\left(b x +a \right)\right)}{4}-\frac{\left(b x +a \right)^{2} \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{8}-\frac{\left(b x +a \right)^{3}}{24}-\frac{\left(b x +a \right) \left(\cosh^{4}\left(b x +a \right)\right)}{8}+\frac{\left(\cosh^{3}\left(b x +a \right)\right) \sinh \left(b x +a \right)}{32}-\frac{\cosh \left(b x +a \right) \sinh \left(b x +a \right)}{64}-\frac{b x}{64}-\frac{a}{64}+\frac{\left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{8}\right)+3 a^{2} \left(\frac{\left(b x +a \right) \sinh \left(b x +a \right) \left(\cosh^{3}\left(b x +a \right)\right)}{4}-\frac{\left(b x +a \right) \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{8}-\frac{\left(b x +a \right)^{2}}{16}-\frac{\left(\cosh^{4}\left(b x +a \right)\right)}{16}+\frac{\left(\cosh^{2}\left(b x +a \right)\right)}{16}\right)-a^{3} \left(\frac{\left(\cosh^{3}\left(b x +a \right)\right) \sinh \left(b x +a \right)}{4}-\frac{\cosh \left(b x +a \right) \sinh \left(b x +a \right)}{8}-\frac{b x}{8}-\frac{a}{8}\right)}{b^{4}}"," ",0,"1/b^4*(1/4*(b*x+a)^3*sinh(b*x+a)*cosh(b*x+a)^3-1/8*(b*x+a)^3*cosh(b*x+a)*sinh(b*x+a)-1/32*(b*x+a)^4-3/16*(b*x+a)^2*cosh(b*x+a)^4+3/32*(b*x+a)*sinh(b*x+a)*cosh(b*x+a)^3-3/64*(b*x+a)*cosh(b*x+a)*sinh(b*x+a)-3/128*(b*x+a)^2-3/128*cosh(b*x+a)^4+3/128*cosh(b*x+a)^2+3/16*(b*x+a)^2*cosh(b*x+a)^2-3*a*(1/4*(b*x+a)^2*sinh(b*x+a)*cosh(b*x+a)^3-1/8*(b*x+a)^2*cosh(b*x+a)*sinh(b*x+a)-1/24*(b*x+a)^3-1/8*(b*x+a)*cosh(b*x+a)^4+1/32*cosh(b*x+a)^3*sinh(b*x+a)-1/64*cosh(b*x+a)*sinh(b*x+a)-1/64*b*x-1/64*a+1/8*(b*x+a)*cosh(b*x+a)^2)+3*a^2*(1/4*(b*x+a)*sinh(b*x+a)*cosh(b*x+a)^3-1/8*(b*x+a)*cosh(b*x+a)*sinh(b*x+a)-1/16*(b*x+a)^2-1/16*cosh(b*x+a)^4+1/16*cosh(b*x+a)^2)-a^3*(1/4*cosh(b*x+a)^3*sinh(b*x+a)-1/8*cosh(b*x+a)*sinh(b*x+a)-1/8*b*x-1/8*a))","B"
291,1,241,52,0.323000," ","int(x^2*cosh(b*x+a)^2*sinh(b*x+a)^2,x)","\frac{\frac{\left(b x +a \right)^{2} \sinh \left(b x +a \right) \left(\cosh^{3}\left(b x +a \right)\right)}{4}-\frac{\left(b x +a \right)^{2} \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{8}-\frac{\left(b x +a \right)^{3}}{24}-\frac{\left(b x +a \right) \left(\cosh^{4}\left(b x +a \right)\right)}{8}+\frac{\left(\cosh^{3}\left(b x +a \right)\right) \sinh \left(b x +a \right)}{32}-\frac{\cosh \left(b x +a \right) \sinh \left(b x +a \right)}{64}-\frac{b x}{64}-\frac{a}{64}+\frac{\left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{8}-2 a \left(\frac{\left(b x +a \right) \sinh \left(b x +a \right) \left(\cosh^{3}\left(b x +a \right)\right)}{4}-\frac{\left(b x +a \right) \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{8}-\frac{\left(b x +a \right)^{2}}{16}-\frac{\left(\cosh^{4}\left(b x +a \right)\right)}{16}+\frac{\left(\cosh^{2}\left(b x +a \right)\right)}{16}\right)+a^{2} \left(\frac{\left(\cosh^{3}\left(b x +a \right)\right) \sinh \left(b x +a \right)}{4}-\frac{\cosh \left(b x +a \right) \sinh \left(b x +a \right)}{8}-\frac{b x}{8}-\frac{a}{8}\right)}{b^{3}}"," ",0,"1/b^3*(1/4*(b*x+a)^2*sinh(b*x+a)*cosh(b*x+a)^3-1/8*(b*x+a)^2*cosh(b*x+a)*sinh(b*x+a)-1/24*(b*x+a)^3-1/8*(b*x+a)*cosh(b*x+a)^4+1/32*cosh(b*x+a)^3*sinh(b*x+a)-1/64*cosh(b*x+a)*sinh(b*x+a)-1/64*b*x-1/64*a+1/8*(b*x+a)*cosh(b*x+a)^2-2*a*(1/4*(b*x+a)*sinh(b*x+a)*cosh(b*x+a)^3-1/8*(b*x+a)*cosh(b*x+a)*sinh(b*x+a)-1/16*(b*x+a)^2-1/16*cosh(b*x+a)^4+1/16*cosh(b*x+a)^2)+a^2*(1/4*cosh(b*x+a)^3*sinh(b*x+a)-1/8*cosh(b*x+a)*sinh(b*x+a)-1/8*b*x-1/8*a))","B"
292,1,116,35,0.066000," ","int(x*cosh(b*x+a)^2*sinh(b*x+a)^2,x)","\frac{\frac{\left(b x +a \right) \sinh \left(b x +a \right) \left(\cosh^{3}\left(b x +a \right)\right)}{4}-\frac{\left(b x +a \right) \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{8}-\frac{\left(b x +a \right)^{2}}{16}-\frac{\left(\cosh^{4}\left(b x +a \right)\right)}{16}+\frac{\left(\cosh^{2}\left(b x +a \right)\right)}{16}-a \left(\frac{\left(\cosh^{3}\left(b x +a \right)\right) \sinh \left(b x +a \right)}{4}-\frac{\cosh \left(b x +a \right) \sinh \left(b x +a \right)}{8}-\frac{b x}{8}-\frac{a}{8}\right)}{b^{2}}"," ",0,"1/b^2*(1/4*(b*x+a)*sinh(b*x+a)*cosh(b*x+a)^3-1/8*(b*x+a)*cosh(b*x+a)*sinh(b*x+a)-1/16*(b*x+a)^2-1/16*cosh(b*x+a)^4+1/16*cosh(b*x+a)^2-a*(1/4*cosh(b*x+a)^3*sinh(b*x+a)-1/8*cosh(b*x+a)*sinh(b*x+a)-1/8*b*x-1/8*a))","B"
293,1,43,40,0.036000," ","int(cosh(b*x+a)^2*sinh(b*x+a)^2,x)","\frac{\frac{\left(\cosh^{3}\left(b x +a \right)\right) \sinh \left(b x +a \right)}{4}-\frac{\cosh \left(b x +a \right) \sinh \left(b x +a \right)}{8}-\frac{b x}{8}-\frac{a}{8}}{b}"," ",0,"1/b*(1/4*cosh(b*x+a)^3*sinh(b*x+a)-1/8*cosh(b*x+a)*sinh(b*x+a)-1/8*b*x-1/8*a)","A"
294,1,30,27,0.342000," ","int(cosh(b*x+a)^2*sinh(b*x+a)^2/x,x)","-\frac{\ln \left(x \right)}{8}-\frac{{\mathrm e}^{-4 a} \Ei \left(1, 4 b x \right)}{16}-\frac{{\mathrm e}^{4 a} \Ei \left(1, -4 b x \right)}{16}"," ",0,"-1/8*ln(x)-1/16*exp(-4*a)*Ei(1,4*b*x)-1/16*exp(4*a)*Ei(1,-4*b*x)","A"
295,1,61,44,0.351000," ","int(cosh(b*x+a)^2*sinh(b*x+a)^2/x^2,x)","\frac{1}{8 x}-\frac{{\mathrm e}^{-4 b x -4 a}}{16 x}+\frac{b \,{\mathrm e}^{-4 a} \Ei \left(1, 4 b x \right)}{4}-\frac{{\mathrm e}^{4 b x +4 a}}{16 x}-\frac{b \,{\mathrm e}^{4 a} \Ei \left(1, -4 b x \right)}{4}"," ",0,"1/8/x-1/16*exp(-4*b*x-4*a)/x+1/4*b*exp(-4*a)*Ei(1,4*b*x)-1/16/x*exp(4*b*x+4*a)-1/4*b*exp(4*a)*Ei(1,-4*b*x)","A"
296,1,95,61,0.351000," ","int(cosh(b*x+a)^2*sinh(b*x+a)^2/x^3,x)","\frac{1}{16 x^{2}}+\frac{b \,{\mathrm e}^{-4 b x -4 a}}{8 x}-\frac{{\mathrm e}^{-4 b x -4 a}}{32 x^{2}}-\frac{b^{2} {\mathrm e}^{-4 a} \Ei \left(1, 4 b x \right)}{2}-\frac{{\mathrm e}^{4 b x +4 a}}{32 x^{2}}-\frac{b \,{\mathrm e}^{4 b x +4 a}}{8 x}-\frac{b^{2} {\mathrm e}^{4 a} \Ei \left(1, -4 b x \right)}{2}"," ",0,"1/16/x^2+1/8*b*exp(-4*b*x-4*a)/x-1/32*exp(-4*b*x-4*a)/x^2-1/2*b^2*exp(-4*a)*Ei(1,4*b*x)-1/32/x^2*exp(4*b*x+4*a)-1/8*b/x*exp(4*b*x+4*a)-1/2*b^2*exp(4*a)*Ei(1,-4*b*x)","A"
297,1,129,80,0.361000," ","int(cosh(b*x+a)^2*sinh(b*x+a)^2/x^4,x)","\frac{1}{24 x^{3}}-\frac{b^{2} {\mathrm e}^{-4 b x -4 a}}{6 x}+\frac{b \,{\mathrm e}^{-4 b x -4 a}}{24 x^{2}}-\frac{{\mathrm e}^{-4 b x -4 a}}{48 x^{3}}+\frac{2 b^{3} {\mathrm e}^{-4 a} \Ei \left(1, 4 b x \right)}{3}-\frac{{\mathrm e}^{4 b x +4 a}}{48 x^{3}}-\frac{b \,{\mathrm e}^{4 b x +4 a}}{24 x^{2}}-\frac{b^{2} {\mathrm e}^{4 b x +4 a}}{6 x}-\frac{2 b^{3} {\mathrm e}^{4 a} \Ei \left(1, -4 b x \right)}{3}"," ",0,"1/24/x^3-1/6*b^2*exp(-4*b*x-4*a)/x+1/24*b*exp(-4*b*x-4*a)/x^2-1/48*exp(-4*b*x-4*a)/x^3+2/3*b^3*exp(-4*a)*Ei(1,4*b*x)-1/48/x^3*exp(4*b*x+4*a)-1/24*b/x^2*exp(4*b*x+4*a)-1/6*b^2/x*exp(4*b*x+4*a)-2/3*b^3*exp(4*a)*Ei(1,-4*b*x)","A"
298,0,0,195,0.421000," ","int(x^m*cosh(b*x+a)^3*sinh(b*x+a)^2,x)","\int x^{m} \left(\cosh^{3}\left(b x +a \right)\right) \left(\sinh^{2}\left(b x +a \right)\right)\, dx"," ",0,"int(x^m*cosh(b*x+a)^3*sinh(b*x+a)^2,x)","F"
299,1,478,178,0.421000," ","int(x^3*cosh(b*x+a)^3*sinh(b*x+a)^2,x)","\frac{\frac{\left(b x +a \right)^{3} \sinh \left(b x +a \right) \left(\cosh^{4}\left(b x +a \right)\right)}{5}-\frac{2 \left(b x +a \right)^{3} \sinh \left(b x +a \right)}{15}-\frac{\left(b x +a \right)^{3} \sinh \left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{15}-\frac{3 \left(b x +a \right)^{2} \left(\cosh^{5}\left(b x +a \right)\right)}{25}-\frac{856 \left(b x +a \right) \sinh \left(b x +a \right)}{1125}+\frac{6 \left(b x +a \right) \sinh \left(b x +a \right) \left(\cosh^{4}\left(b x +a \right)\right)}{125}+\frac{22 \left(b x +a \right) \sinh \left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{1125}+\frac{856 \cosh \left(b x +a \right)}{1125}-\frac{6 \left(\cosh^{5}\left(b x +a \right)\right)}{625}-\frac{22 \left(\cosh^{3}\left(b x +a \right)\right)}{3375}+\frac{2 \left(b x +a \right)^{2} \cosh \left(b x +a \right)}{5}+\frac{\left(b x +a \right)^{2} \left(\cosh^{3}\left(b x +a \right)\right)}{15}-3 a \left(\frac{\left(b x +a \right)^{2} \sinh \left(b x +a \right) \left(\cosh^{4}\left(b x +a \right)\right)}{5}-\frac{2 \left(b x +a \right)^{2} \sinh \left(b x +a \right)}{15}-\frac{\left(b x +a \right)^{2} \sinh \left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{15}-\frac{2 \left(b x +a \right) \left(\cosh^{5}\left(b x +a \right)\right)}{25}-\frac{856 \sinh \left(b x +a \right)}{3375}+\frac{2 \sinh \left(b x +a \right) \left(\cosh^{4}\left(b x +a \right)\right)}{125}+\frac{22 \left(\cosh^{2}\left(b x +a \right)\right) \sinh \left(b x +a \right)}{3375}+\frac{4 \left(b x +a \right) \cosh \left(b x +a \right)}{15}+\frac{2 \left(b x +a \right) \left(\cosh^{3}\left(b x +a \right)\right)}{45}\right)+3 a^{2} \left(\frac{\left(b x +a \right) \sinh \left(b x +a \right) \left(\cosh^{4}\left(b x +a \right)\right)}{5}-\frac{2 \left(b x +a \right) \sinh \left(b x +a \right)}{15}-\frac{\left(b x +a \right) \sinh \left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{15}-\frac{\left(\cosh^{5}\left(b x +a \right)\right)}{25}+\frac{2 \cosh \left(b x +a \right)}{15}+\frac{\left(\cosh^{3}\left(b x +a \right)\right)}{45}\right)-a^{3} \left(\frac{\sinh \left(b x +a \right) \left(\cosh^{4}\left(b x +a \right)\right)}{5}-\frac{\left(\frac{2}{3}+\frac{\left(\cosh^{2}\left(b x +a \right)\right)}{3}\right) \sinh \left(b x +a \right)}{5}\right)}{b^{4}}"," ",0,"1/b^4*(1/5*(b*x+a)^3*sinh(b*x+a)*cosh(b*x+a)^4-2/15*(b*x+a)^3*sinh(b*x+a)-1/15*(b*x+a)^3*sinh(b*x+a)*cosh(b*x+a)^2-3/25*(b*x+a)^2*cosh(b*x+a)^5-856/1125*(b*x+a)*sinh(b*x+a)+6/125*(b*x+a)*sinh(b*x+a)*cosh(b*x+a)^4+22/1125*(b*x+a)*sinh(b*x+a)*cosh(b*x+a)^2+856/1125*cosh(b*x+a)-6/625*cosh(b*x+a)^5-22/3375*cosh(b*x+a)^3+2/5*(b*x+a)^2*cosh(b*x+a)+1/15*(b*x+a)^2*cosh(b*x+a)^3-3*a*(1/5*(b*x+a)^2*sinh(b*x+a)*cosh(b*x+a)^4-2/15*(b*x+a)^2*sinh(b*x+a)-1/15*(b*x+a)^2*sinh(b*x+a)*cosh(b*x+a)^2-2/25*(b*x+a)*cosh(b*x+a)^5-856/3375*sinh(b*x+a)+2/125*sinh(b*x+a)*cosh(b*x+a)^4+22/3375*cosh(b*x+a)^2*sinh(b*x+a)+4/15*(b*x+a)*cosh(b*x+a)+2/45*(b*x+a)*cosh(b*x+a)^3)+3*a^2*(1/5*(b*x+a)*sinh(b*x+a)*cosh(b*x+a)^4-2/15*(b*x+a)*sinh(b*x+a)-1/15*(b*x+a)*sinh(b*x+a)*cosh(b*x+a)^2-1/25*cosh(b*x+a)^5+2/15*cosh(b*x+a)+1/45*cosh(b*x+a)^3)-a^3*(1/5*sinh(b*x+a)*cosh(b*x+a)^4-1/5*(2/3+1/3*cosh(b*x+a)^2)*sinh(b*x+a)))","B"
300,1,278,130,0.380000," ","int(x^2*cosh(b*x+a)^3*sinh(b*x+a)^2,x)","\frac{\frac{\left(b x +a \right)^{2} \sinh \left(b x +a \right) \left(\cosh^{4}\left(b x +a \right)\right)}{5}-\frac{2 \left(b x +a \right)^{2} \sinh \left(b x +a \right)}{15}-\frac{\left(b x +a \right)^{2} \sinh \left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{15}-\frac{2 \left(b x +a \right) \left(\cosh^{5}\left(b x +a \right)\right)}{25}-\frac{856 \sinh \left(b x +a \right)}{3375}+\frac{2 \sinh \left(b x +a \right) \left(\cosh^{4}\left(b x +a \right)\right)}{125}+\frac{22 \left(\cosh^{2}\left(b x +a \right)\right) \sinh \left(b x +a \right)}{3375}+\frac{4 \left(b x +a \right) \cosh \left(b x +a \right)}{15}+\frac{2 \left(b x +a \right) \left(\cosh^{3}\left(b x +a \right)\right)}{45}-2 a \left(\frac{\left(b x +a \right) \sinh \left(b x +a \right) \left(\cosh^{4}\left(b x +a \right)\right)}{5}-\frac{2 \left(b x +a \right) \sinh \left(b x +a \right)}{15}-\frac{\left(b x +a \right) \sinh \left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{15}-\frac{\left(\cosh^{5}\left(b x +a \right)\right)}{25}+\frac{2 \cosh \left(b x +a \right)}{15}+\frac{\left(\cosh^{3}\left(b x +a \right)\right)}{45}\right)+a^{2} \left(\frac{\sinh \left(b x +a \right) \left(\cosh^{4}\left(b x +a \right)\right)}{5}-\frac{\left(\frac{2}{3}+\frac{\left(\cosh^{2}\left(b x +a \right)\right)}{3}\right) \sinh \left(b x +a \right)}{5}\right)}{b^{3}}"," ",0,"1/b^3*(1/5*(b*x+a)^2*sinh(b*x+a)*cosh(b*x+a)^4-2/15*(b*x+a)^2*sinh(b*x+a)-1/15*(b*x+a)^2*sinh(b*x+a)*cosh(b*x+a)^2-2/25*(b*x+a)*cosh(b*x+a)^5-856/3375*sinh(b*x+a)+2/125*sinh(b*x+a)*cosh(b*x+a)^4+22/3375*cosh(b*x+a)^2*sinh(b*x+a)+4/15*(b*x+a)*cosh(b*x+a)+2/45*(b*x+a)*cosh(b*x+a)^3-2*a*(1/5*(b*x+a)*sinh(b*x+a)*cosh(b*x+a)^4-2/15*(b*x+a)*sinh(b*x+a)-1/15*(b*x+a)*sinh(b*x+a)*cosh(b*x+a)^2-1/25*cosh(b*x+a)^5+2/15*cosh(b*x+a)+1/45*cosh(b*x+a)^3)+a^2*(1/5*sinh(b*x+a)*cosh(b*x+a)^4-1/5*(2/3+1/3*cosh(b*x+a)^2)*sinh(b*x+a)))","B"
301,1,129,82,0.334000," ","int(x*cosh(b*x+a)^3*sinh(b*x+a)^2,x)","\frac{\frac{\left(b x +a \right) \sinh \left(b x +a \right) \left(\cosh^{4}\left(b x +a \right)\right)}{5}-\frac{2 \left(b x +a \right) \sinh \left(b x +a \right)}{15}-\frac{\left(b x +a \right) \sinh \left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{15}-\frac{\left(\cosh^{5}\left(b x +a \right)\right)}{25}+\frac{2 \cosh \left(b x +a \right)}{15}+\frac{\left(\cosh^{3}\left(b x +a \right)\right)}{45}-a \left(\frac{\sinh \left(b x +a \right) \left(\cosh^{4}\left(b x +a \right)\right)}{5}-\frac{\left(\frac{2}{3}+\frac{\left(\cosh^{2}\left(b x +a \right)\right)}{3}\right) \sinh \left(b x +a \right)}{5}\right)}{b^{2}}"," ",0,"1/b^2*(1/5*(b*x+a)*sinh(b*x+a)*cosh(b*x+a)^4-2/15*(b*x+a)*sinh(b*x+a)-1/15*(b*x+a)*sinh(b*x+a)*cosh(b*x+a)^2-1/25*cosh(b*x+a)^5+2/15*cosh(b*x+a)+1/45*cosh(b*x+a)^3-a*(1/5*sinh(b*x+a)*cosh(b*x+a)^4-1/5*(2/3+1/3*cosh(b*x+a)^2)*sinh(b*x+a)))","A"
302,1,42,27,0.333000," ","int(cosh(b*x+a)^3*sinh(b*x+a)^2,x)","\frac{\frac{\sinh \left(b x +a \right) \left(\cosh^{4}\left(b x +a \right)\right)}{5}-\frac{\left(\frac{2}{3}+\frac{\left(\cosh^{2}\left(b x +a \right)\right)}{3}\right) \sinh \left(b x +a \right)}{5}}{b}"," ",0,"1/b*(1/5*sinh(b*x+a)*cosh(b*x+a)^4-1/5*(2/3+1/3*cosh(b*x+a)^2)*sinh(b*x+a))","A"
303,1,71,61,0.581000," ","int(cosh(b*x+a)^3*sinh(b*x+a)^2/x,x)","-\frac{{\mathrm e}^{-5 a} \Ei \left(1, 5 b x \right)}{32}-\frac{{\mathrm e}^{-3 a} \Ei \left(1, 3 b x \right)}{32}+\frac{{\mathrm e}^{-a} \Ei \left(1, b x \right)}{16}+\frac{{\mathrm e}^{a} \Ei \left(1, -b x \right)}{16}-\frac{{\mathrm e}^{3 a} \Ei \left(1, -3 b x \right)}{32}-\frac{{\mathrm e}^{5 a} \Ei \left(1, -5 b x \right)}{32}"," ",0,"-1/32*exp(-5*a)*Ei(1,5*b*x)-1/32*exp(-3*a)*Ei(1,3*b*x)+1/16*exp(-a)*Ei(1,b*x)+1/16*exp(a)*Ei(1,-b*x)-1/32*exp(3*a)*Ei(1,-3*b*x)-1/32*exp(5*a)*Ei(1,-5*b*x)","A"
304,1,158,106,0.538000," ","int(cosh(b*x+a)^3*sinh(b*x+a)^2/x^2,x)","-\frac{{\mathrm e}^{-5 b x -5 a}}{32 x}+\frac{5 b \,{\mathrm e}^{-5 a} \Ei \left(1, 5 b x \right)}{32}-\frac{{\mathrm e}^{-3 b x -3 a}}{32 x}+\frac{3 b \,{\mathrm e}^{-3 a} \Ei \left(1, 3 b x \right)}{32}+\frac{{\mathrm e}^{-b x -a}}{16 x}-\frac{b \,{\mathrm e}^{-a} \Ei \left(1, b x \right)}{16}+\frac{{\mathrm e}^{b x +a}}{16 x}+\frac{b \,{\mathrm e}^{a} \Ei \left(1, -b x \right)}{16}-\frac{{\mathrm e}^{3 b x +3 a}}{32 x}-\frac{3 b \,{\mathrm e}^{3 a} \Ei \left(1, -3 b x \right)}{32}-\frac{{\mathrm e}^{5 b x +5 a}}{32 x}-\frac{5 b \,{\mathrm e}^{5 a} \Ei \left(1, -5 b x \right)}{32}"," ",0,"-1/32*exp(-5*b*x-5*a)/x+5/32*b*exp(-5*a)*Ei(1,5*b*x)-1/32*exp(-3*b*x-3*a)/x+3/32*b*exp(-3*a)*Ei(1,3*b*x)+1/16*exp(-b*x-a)/x-1/16*b*exp(-a)*Ei(1,b*x)+1/16/x*exp(b*x+a)+1/16*b*exp(a)*Ei(1,-b*x)-1/32/x*exp(3*b*x+3*a)-3/32*b*exp(3*a)*Ei(1,-3*b*x)-1/32/x*exp(5*b*x+5*a)-5/32*b*exp(5*a)*Ei(1,-5*b*x)","A"
305,1,257,160,0.533000," ","int(cosh(b*x+a)^3*sinh(b*x+a)^2/x^3,x)","\frac{5 b \,{\mathrm e}^{-5 b x -5 a}}{64 x}-\frac{{\mathrm e}^{-5 b x -5 a}}{64 x^{2}}-\frac{25 b^{2} {\mathrm e}^{-5 a} \Ei \left(1, 5 b x \right)}{64}+\frac{3 b \,{\mathrm e}^{-3 b x -3 a}}{64 x}-\frac{{\mathrm e}^{-3 b x -3 a}}{64 x^{2}}-\frac{9 b^{2} {\mathrm e}^{-3 a} \Ei \left(1, 3 b x \right)}{64}-\frac{b \,{\mathrm e}^{-b x -a}}{32 x}+\frac{{\mathrm e}^{-b x -a}}{32 x^{2}}+\frac{b^{2} {\mathrm e}^{-a} \Ei \left(1, b x \right)}{32}+\frac{{\mathrm e}^{b x +a}}{32 x^{2}}+\frac{b \,{\mathrm e}^{b x +a}}{32 x}+\frac{b^{2} {\mathrm e}^{a} \Ei \left(1, -b x \right)}{32}-\frac{{\mathrm e}^{3 b x +3 a}}{64 x^{2}}-\frac{3 b \,{\mathrm e}^{3 b x +3 a}}{64 x}-\frac{9 b^{2} {\mathrm e}^{3 a} \Ei \left(1, -3 b x \right)}{64}-\frac{{\mathrm e}^{5 b x +5 a}}{64 x^{2}}-\frac{5 b \,{\mathrm e}^{5 b x +5 a}}{64 x}-\frac{25 b^{2} {\mathrm e}^{5 a} \Ei \left(1, -5 b x \right)}{64}"," ",0,"5/64*b*exp(-5*b*x-5*a)/x-1/64*exp(-5*b*x-5*a)/x^2-25/64*b^2*exp(-5*a)*Ei(1,5*b*x)+3/64*b*exp(-3*b*x-3*a)/x-1/64*exp(-3*b*x-3*a)/x^2-9/64*b^2*exp(-3*a)*Ei(1,3*b*x)-1/32*b*exp(-b*x-a)/x+1/32*exp(-b*x-a)/x^2+1/32*b^2*exp(-a)*Ei(1,b*x)+1/32/x^2*exp(b*x+a)+1/32*b/x*exp(b*x+a)+1/32*b^2*exp(a)*Ei(1,-b*x)-1/64/x^2*exp(3*b*x+3*a)-3/64*b/x*exp(3*b*x+3*a)-9/64*b^2*exp(3*a)*Ei(1,-3*b*x)-1/64/x^2*exp(5*b*x+5*a)-5/64*b/x*exp(5*b*x+5*a)-25/64*b^2*exp(5*a)*Ei(1,-5*b*x)","A"
306,1,356,208,0.553000," ","int(cosh(b*x+a)^3*sinh(b*x+a)^2/x^4,x)","-\frac{25 b^{2} {\mathrm e}^{-5 b x -5 a}}{192 x}+\frac{5 b \,{\mathrm e}^{-5 b x -5 a}}{192 x^{2}}-\frac{{\mathrm e}^{-5 b x -5 a}}{96 x^{3}}+\frac{125 b^{3} {\mathrm e}^{-5 a} \Ei \left(1, 5 b x \right)}{192}-\frac{3 b^{2} {\mathrm e}^{-3 b x -3 a}}{64 x}+\frac{b \,{\mathrm e}^{-3 b x -3 a}}{64 x^{2}}-\frac{{\mathrm e}^{-3 b x -3 a}}{96 x^{3}}+\frac{9 b^{3} {\mathrm e}^{-3 a} \Ei \left(1, 3 b x \right)}{64}+\frac{b^{2} {\mathrm e}^{-b x -a}}{96 x}-\frac{b \,{\mathrm e}^{-b x -a}}{96 x^{2}}+\frac{{\mathrm e}^{-b x -a}}{48 x^{3}}-\frac{b^{3} {\mathrm e}^{-a} \Ei \left(1, b x \right)}{96}+\frac{{\mathrm e}^{b x +a}}{48 x^{3}}+\frac{b \,{\mathrm e}^{b x +a}}{96 x^{2}}+\frac{b^{2} {\mathrm e}^{b x +a}}{96 x}+\frac{b^{3} {\mathrm e}^{a} \Ei \left(1, -b x \right)}{96}-\frac{{\mathrm e}^{3 b x +3 a}}{96 x^{3}}-\frac{b \,{\mathrm e}^{3 b x +3 a}}{64 x^{2}}-\frac{3 b^{2} {\mathrm e}^{3 b x +3 a}}{64 x}-\frac{9 b^{3} {\mathrm e}^{3 a} \Ei \left(1, -3 b x \right)}{64}-\frac{{\mathrm e}^{5 b x +5 a}}{96 x^{3}}-\frac{5 b \,{\mathrm e}^{5 b x +5 a}}{192 x^{2}}-\frac{25 b^{2} {\mathrm e}^{5 b x +5 a}}{192 x}-\frac{125 b^{3} {\mathrm e}^{5 a} \Ei \left(1, -5 b x \right)}{192}"," ",0,"-25/192*b^2*exp(-5*b*x-5*a)/x+5/192*b*exp(-5*b*x-5*a)/x^2-1/96*exp(-5*b*x-5*a)/x^3+125/192*b^3*exp(-5*a)*Ei(1,5*b*x)-3/64*b^2*exp(-3*b*x-3*a)/x+1/64*b*exp(-3*b*x-3*a)/x^2-1/96*exp(-3*b*x-3*a)/x^3+9/64*b^3*exp(-3*a)*Ei(1,3*b*x)+1/96*b^2*exp(-b*x-a)/x-1/96*b*exp(-b*x-a)/x^2+1/48*exp(-b*x-a)/x^3-1/96*b^3*exp(-a)*Ei(1,b*x)+1/48/x^3*exp(b*x+a)+1/96*b/x^2*exp(b*x+a)+1/96*b^2/x*exp(b*x+a)+1/96*b^3*exp(a)*Ei(1,-b*x)-1/96/x^3*exp(3*b*x+3*a)-1/64*b/x^2*exp(3*b*x+3*a)-3/64*b^2/x*exp(3*b*x+3*a)-9/64*b^3*exp(3*a)*Ei(1,-3*b*x)-1/96/x^3*exp(5*b*x+5*a)-5/192*b/x^2*exp(5*b*x+5*a)-25/192*b^2/x*exp(5*b*x+5*a)-125/192*b^3*exp(5*a)*Ei(1,-5*b*x)","A"
307,0,0,145,0.448000," ","int(x^m*cosh(b*x+a)*sinh(b*x+a)^3,x)","\int x^{m} \cosh \left(b x +a \right) \left(\sinh^{3}\left(b x +a \right)\right)\, dx"," ",0,"int(x^m*cosh(b*x+a)*sinh(b*x+a)^3,x)","F"
308,1,304,137,0.362000," ","int(x^3*cosh(b*x+a)*sinh(b*x+a)^3,x)","\frac{\frac{\left(b x +a \right)^{3} \left(\sinh^{4}\left(b x +a \right)\right)}{4}-\frac{3 \left(b x +a \right)^{2} \cosh \left(b x +a \right) \left(\sinh^{3}\left(b x +a \right)\right)}{16}+\frac{9 \left(b x +a \right)^{2} \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{32}-\frac{3 \left(b x +a \right)^{3}}{32}+\frac{3 \left(b x +a \right) \left(\sinh^{4}\left(b x +a \right)\right)}{32}-\frac{3 \cosh \left(b x +a \right) \left(\sinh^{3}\left(b x +a \right)\right)}{128}+\frac{45 \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{256}+\frac{27 b x}{256}+\frac{27 a}{256}-\frac{9 \left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{32}-3 a \left(\frac{\left(b x +a \right)^{2} \left(\sinh^{4}\left(b x +a \right)\right)}{4}-\frac{\left(b x +a \right) \cosh \left(b x +a \right) \left(\sinh^{3}\left(b x +a \right)\right)}{8}+\frac{3 \left(b x +a \right) \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{16}-\frac{3 \left(b x +a \right)^{2}}{32}+\frac{\left(\sinh^{4}\left(b x +a \right)\right)}{32}-\frac{3 \left(\cosh^{2}\left(b x +a \right)\right)}{32}\right)+3 a^{2} \left(\frac{\left(b x +a \right) \left(\sinh^{4}\left(b x +a \right)\right)}{4}-\frac{\cosh \left(b x +a \right) \left(\sinh^{3}\left(b x +a \right)\right)}{16}+\frac{3 \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{32}-\frac{3 b x}{32}-\frac{3 a}{32}\right)-\frac{a^{3} \left(\sinh^{4}\left(b x +a \right)\right)}{4}}{b^{4}}"," ",0,"1/b^4*(1/4*(b*x+a)^3*sinh(b*x+a)^4-3/16*(b*x+a)^2*cosh(b*x+a)*sinh(b*x+a)^3+9/32*(b*x+a)^2*cosh(b*x+a)*sinh(b*x+a)-3/32*(b*x+a)^3+3/32*(b*x+a)*sinh(b*x+a)^4-3/128*cosh(b*x+a)*sinh(b*x+a)^3+45/256*cosh(b*x+a)*sinh(b*x+a)+27/256*b*x+27/256*a-9/32*(b*x+a)*cosh(b*x+a)^2-3*a*(1/4*(b*x+a)^2*sinh(b*x+a)^4-1/8*(b*x+a)*cosh(b*x+a)*sinh(b*x+a)^3+3/16*(b*x+a)*cosh(b*x+a)*sinh(b*x+a)-3/32*(b*x+a)^2+1/32*sinh(b*x+a)^4-3/32*cosh(b*x+a)^2)+3*a^2*(1/4*(b*x+a)*sinh(b*x+a)^4-1/16*cosh(b*x+a)*sinh(b*x+a)^3+3/32*cosh(b*x+a)*sinh(b*x+a)-3/32*b*x-3/32*a)-1/4*a^3*sinh(b*x+a)^4)","B"
309,1,161,89,0.333000," ","int(x^2*cosh(b*x+a)*sinh(b*x+a)^3,x)","\frac{\frac{\left(b x +a \right)^{2} \left(\sinh^{4}\left(b x +a \right)\right)}{4}-\frac{\left(b x +a \right) \cosh \left(b x +a \right) \left(\sinh^{3}\left(b x +a \right)\right)}{8}+\frac{3 \left(b x +a \right) \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{16}-\frac{3 \left(b x +a \right)^{2}}{32}+\frac{\left(\sinh^{4}\left(b x +a \right)\right)}{32}-\frac{3 \left(\cosh^{2}\left(b x +a \right)\right)}{32}-2 a \left(\frac{\left(b x +a \right) \left(\sinh^{4}\left(b x +a \right)\right)}{4}-\frac{\cosh \left(b x +a \right) \left(\sinh^{3}\left(b x +a \right)\right)}{16}+\frac{3 \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{32}-\frac{3 b x}{32}-\frac{3 a}{32}\right)+\frac{a^{2} \left(\sinh^{4}\left(b x +a \right)\right)}{4}}{b^{3}}"," ",0,"1/b^3*(1/4*(b*x+a)^2*sinh(b*x+a)^4-1/8*(b*x+a)*cosh(b*x+a)*sinh(b*x+a)^3+3/16*(b*x+a)*cosh(b*x+a)*sinh(b*x+a)-3/32*(b*x+a)^2+1/32*sinh(b*x+a)^4-3/32*cosh(b*x+a)^2-2*a*(1/4*(b*x+a)*sinh(b*x+a)^4-1/16*cosh(b*x+a)*sinh(b*x+a)^3+3/32*cosh(b*x+a)*sinh(b*x+a)-3/32*b*x-3/32*a)+1/4*a^2*sinh(b*x+a)^4)","A"
310,1,69,57,0.334000," ","int(x*cosh(b*x+a)*sinh(b*x+a)^3,x)","\frac{\frac{\left(b x +a \right) \left(\sinh^{4}\left(b x +a \right)\right)}{4}-\frac{\cosh \left(b x +a \right) \left(\sinh^{3}\left(b x +a \right)\right)}{16}+\frac{3 \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{32}-\frac{3 b x}{32}-\frac{3 a}{32}-\frac{a \left(\sinh^{4}\left(b x +a \right)\right)}{4}}{b^{2}}"," ",0,"1/b^2*(1/4*(b*x+a)*sinh(b*x+a)^4-1/16*cosh(b*x+a)*sinh(b*x+a)^3+3/32*cosh(b*x+a)*sinh(b*x+a)-3/32*b*x-3/32*a-1/4*a*sinh(b*x+a)^4)","A"
311,1,14,13,0.056000," ","int(cosh(b*x+a)*sinh(b*x+a)^3,x)","\frac{\sinh^{4}\left(b x +a \right)}{4 b}"," ",0,"1/4*sinh(b*x+a)^4/b","A"
312,1,50,45,0.606000," ","int(cosh(b*x+a)*sinh(b*x+a)^3/x,x)","\frac{{\mathrm e}^{-4 a} \Ei \left(1, 4 b x \right)}{16}-\frac{{\mathrm e}^{-2 a} \Ei \left(1, 2 b x \right)}{8}+\frac{{\mathrm e}^{2 a} \Ei \left(1, -2 b x \right)}{8}-\frac{{\mathrm e}^{4 a} \Ei \left(1, -4 b x \right)}{16}"," ",0,"1/16*exp(-4*a)*Ei(1,4*b*x)-1/8*exp(-2*a)*Ei(1,2*b*x)+1/8*exp(2*a)*Ei(1,-2*b*x)-1/16*exp(4*a)*Ei(1,-4*b*x)","A"
313,1,110,77,0.622000," ","int(cosh(b*x+a)*sinh(b*x+a)^3/x^2,x)","\frac{{\mathrm e}^{-4 b x -4 a}}{16 x}-\frac{b \,{\mathrm e}^{-4 a} \Ei \left(1, 4 b x \right)}{4}-\frac{{\mathrm e}^{-2 b x -2 a}}{8 x}+\frac{b \,{\mathrm e}^{-2 a} \Ei \left(1, 2 b x \right)}{4}+\frac{{\mathrm e}^{2 b x +2 a}}{8 x}+\frac{b \,{\mathrm e}^{2 a} \Ei \left(1, -2 b x \right)}{4}-\frac{{\mathrm e}^{4 b x +4 a}}{16 x}-\frac{b \,{\mathrm e}^{4 a} \Ei \left(1, -4 b x \right)}{4}"," ",0,"1/16*exp(-4*b*x-4*a)/x-1/4*b*exp(-4*a)*Ei(1,4*b*x)-1/8*exp(-2*b*x-2*a)/x+1/4*b*exp(-2*a)*Ei(1,2*b*x)+1/8*exp(2*b*x+2*a)/x+1/4*b*exp(2*a)*Ei(1,-2*b*x)-1/16/x*exp(4*b*x+4*a)-1/4*b*exp(4*a)*Ei(1,-4*b*x)","A"
314,1,178,113,0.617000," ","int(cosh(b*x+a)*sinh(b*x+a)^3/x^3,x)","-\frac{b \,{\mathrm e}^{-4 b x -4 a}}{8 x}+\frac{{\mathrm e}^{-4 b x -4 a}}{32 x^{2}}+\frac{b^{2} {\mathrm e}^{-4 a} \Ei \left(1, 4 b x \right)}{2}+\frac{b \,{\mathrm e}^{-2 b x -2 a}}{8 x}-\frac{{\mathrm e}^{-2 b x -2 a}}{16 x^{2}}-\frac{b^{2} {\mathrm e}^{-2 a} \Ei \left(1, 2 b x \right)}{4}+\frac{{\mathrm e}^{2 b x +2 a}}{16 x^{2}}+\frac{b \,{\mathrm e}^{2 b x +2 a}}{8 x}+\frac{b^{2} {\mathrm e}^{2 a} \Ei \left(1, -2 b x \right)}{4}-\frac{{\mathrm e}^{4 b x +4 a}}{32 x^{2}}-\frac{b \,{\mathrm e}^{4 b x +4 a}}{8 x}-\frac{b^{2} {\mathrm e}^{4 a} \Ei \left(1, -4 b x \right)}{2}"," ",0,"-1/8*b*exp(-4*b*x-4*a)/x+1/32*exp(-4*b*x-4*a)/x^2+1/2*b^2*exp(-4*a)*Ei(1,4*b*x)+1/8*b*exp(-2*b*x-2*a)/x-1/16*exp(-2*b*x-2*a)/x^2-1/4*b^2*exp(-2*a)*Ei(1,2*b*x)+1/16*exp(2*b*x+2*a)/x^2+1/8*b*exp(2*b*x+2*a)/x+1/4*b^2*exp(2*a)*Ei(1,-2*b*x)-1/32/x^2*exp(4*b*x+4*a)-1/8*b/x*exp(4*b*x+4*a)-1/2*b^2*exp(4*a)*Ei(1,-4*b*x)","A"
315,1,246,149,0.632000," ","int(cosh(b*x+a)*sinh(b*x+a)^3/x^4,x)","\frac{b^{2} {\mathrm e}^{-4 b x -4 a}}{6 x}-\frac{b \,{\mathrm e}^{-4 b x -4 a}}{24 x^{2}}+\frac{{\mathrm e}^{-4 b x -4 a}}{48 x^{3}}-\frac{2 b^{3} {\mathrm e}^{-4 a} \Ei \left(1, 4 b x \right)}{3}-\frac{b^{2} {\mathrm e}^{-2 b x -2 a}}{12 x}+\frac{b \,{\mathrm e}^{-2 b x -2 a}}{24 x^{2}}-\frac{{\mathrm e}^{-2 b x -2 a}}{24 x^{3}}+\frac{b^{3} {\mathrm e}^{-2 a} \Ei \left(1, 2 b x \right)}{6}+\frac{{\mathrm e}^{2 b x +2 a}}{24 x^{3}}+\frac{b \,{\mathrm e}^{2 b x +2 a}}{24 x^{2}}+\frac{b^{2} {\mathrm e}^{2 b x +2 a}}{12 x}+\frac{b^{3} {\mathrm e}^{2 a} \Ei \left(1, -2 b x \right)}{6}-\frac{{\mathrm e}^{4 b x +4 a}}{48 x^{3}}-\frac{b \,{\mathrm e}^{4 b x +4 a}}{24 x^{2}}-\frac{b^{2} {\mathrm e}^{4 b x +4 a}}{6 x}-\frac{2 b^{3} {\mathrm e}^{4 a} \Ei \left(1, -4 b x \right)}{3}"," ",0,"1/6*b^2*exp(-4*b*x-4*a)/x-1/24*b*exp(-4*b*x-4*a)/x^2+1/48*exp(-4*b*x-4*a)/x^3-2/3*b^3*exp(-4*a)*Ei(1,4*b*x)-1/12*b^2*exp(-2*b*x-2*a)/x+1/24*b*exp(-2*b*x-2*a)/x^2-1/24*exp(-2*b*x-2*a)/x^3+1/6*b^3*exp(-2*a)*Ei(1,2*b*x)+1/24*exp(2*b*x+2*a)/x^3+1/24*b*exp(2*b*x+2*a)/x^2+1/12*b^2*exp(2*b*x+2*a)/x+1/6*b^3*exp(2*a)*Ei(1,-2*b*x)-1/48/x^3*exp(4*b*x+4*a)-1/24*b/x^2*exp(4*b*x+4*a)-1/6*b^2/x*exp(4*b*x+4*a)-2/3*b^3*exp(4*a)*Ei(1,-4*b*x)","A"
316,0,0,195,0.289000," ","int(x^m*cosh(b*x+a)^2*sinh(b*x+a)^3,x)","\int x^{m} \left(\cosh^{2}\left(b x +a \right)\right) \left(\sinh^{3}\left(b x +a \right)\right)\, dx"," ",0,"int(x^m*cosh(b*x+a)^2*sinh(b*x+a)^3,x)","F"
317,1,439,178,0.406000," ","int(x^3*cosh(b*x+a)^2*sinh(b*x+a)^3,x)","\frac{\frac{\left(b x +a \right)^{3} \left(\sinh^{2}\left(b x +a \right)\right) \left(\cosh^{3}\left(b x +a \right)\right)}{5}-\frac{2 \left(b x +a \right)^{3} \left(\cosh^{3}\left(b x +a \right)\right)}{15}-\frac{3 \left(b x +a \right)^{2} \sinh \left(b x +a \right) \left(\cosh^{4}\left(b x +a \right)\right)}{25}+\frac{26 \left(b x +a \right)^{2} \sinh \left(b x +a \right)}{75}+\frac{13 \left(b x +a \right)^{2} \sinh \left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{75}+\frac{6 \left(b x +a \right) \left(\cosh^{5}\left(b x +a \right)\right)}{125}+\frac{12568 \sinh \left(b x +a \right)}{16875}-\frac{6 \sinh \left(b x +a \right) \left(\cosh^{4}\left(b x +a \right)\right)}{625}+\frac{434 \left(\cosh^{2}\left(b x +a \right)\right) \sinh \left(b x +a \right)}{16875}-\frac{52 \left(b x +a \right) \cosh \left(b x +a \right)}{75}-\frac{26 \left(b x +a \right) \left(\cosh^{3}\left(b x +a \right)\right)}{225}-3 a \left(\frac{\left(b x +a \right)^{2} \left(\sinh^{2}\left(b x +a \right)\right) \left(\cosh^{3}\left(b x +a \right)\right)}{5}-\frac{2 \left(b x +a \right)^{2} \left(\cosh^{3}\left(b x +a \right)\right)}{15}-\frac{2 \left(b x +a \right) \sinh \left(b x +a \right) \left(\cosh^{4}\left(b x +a \right)\right)}{25}+\frac{52 \left(b x +a \right) \sinh \left(b x +a \right)}{225}+\frac{26 \left(b x +a \right) \sinh \left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{225}+\frac{2 \left(\cosh^{5}\left(b x +a \right)\right)}{125}-\frac{52 \cosh \left(b x +a \right)}{225}-\frac{26 \left(\cosh^{3}\left(b x +a \right)\right)}{675}\right)+3 a^{2} \left(\frac{\left(b x +a \right) \left(\sinh^{2}\left(b x +a \right)\right) \left(\cosh^{3}\left(b x +a \right)\right)}{5}-\frac{2 \left(b x +a \right) \left(\cosh^{3}\left(b x +a \right)\right)}{15}-\frac{\sinh \left(b x +a \right) \left(\cosh^{4}\left(b x +a \right)\right)}{25}+\frac{26 \sinh \left(b x +a \right)}{225}+\frac{13 \left(\cosh^{2}\left(b x +a \right)\right) \sinh \left(b x +a \right)}{225}\right)-a^{3} \left(\frac{\left(\cosh^{3}\left(b x +a \right)\right) \left(\sinh^{2}\left(b x +a \right)\right)}{5}-\frac{2 \left(\cosh^{3}\left(b x +a \right)\right)}{15}\right)}{b^{4}}"," ",0,"1/b^4*(1/5*(b*x+a)^3*sinh(b*x+a)^2*cosh(b*x+a)^3-2/15*(b*x+a)^3*cosh(b*x+a)^3-3/25*(b*x+a)^2*sinh(b*x+a)*cosh(b*x+a)^4+26/75*(b*x+a)^2*sinh(b*x+a)+13/75*(b*x+a)^2*sinh(b*x+a)*cosh(b*x+a)^2+6/125*(b*x+a)*cosh(b*x+a)^5+12568/16875*sinh(b*x+a)-6/625*sinh(b*x+a)*cosh(b*x+a)^4+434/16875*cosh(b*x+a)^2*sinh(b*x+a)-52/75*(b*x+a)*cosh(b*x+a)-26/225*(b*x+a)*cosh(b*x+a)^3-3*a*(1/5*(b*x+a)^2*sinh(b*x+a)^2*cosh(b*x+a)^3-2/15*(b*x+a)^2*cosh(b*x+a)^3-2/25*(b*x+a)*sinh(b*x+a)*cosh(b*x+a)^4+52/225*(b*x+a)*sinh(b*x+a)+26/225*(b*x+a)*sinh(b*x+a)*cosh(b*x+a)^2+2/125*cosh(b*x+a)^5-52/225*cosh(b*x+a)-26/675*cosh(b*x+a)^3)+3*a^2*(1/5*(b*x+a)*sinh(b*x+a)^2*cosh(b*x+a)^3-2/15*(b*x+a)*cosh(b*x+a)^3-1/25*sinh(b*x+a)*cosh(b*x+a)^4+26/225*sinh(b*x+a)+13/225*cosh(b*x+a)^2*sinh(b*x+a))-a^3*(1/5*cosh(b*x+a)^3*sinh(b*x+a)^2-2/15*cosh(b*x+a)^3))","B"
318,1,246,130,0.295000," ","int(x^2*cosh(b*x+a)^2*sinh(b*x+a)^3,x)","\frac{\frac{\left(b x +a \right)^{2} \left(\sinh^{2}\left(b x +a \right)\right) \left(\cosh^{3}\left(b x +a \right)\right)}{5}-\frac{2 \left(b x +a \right)^{2} \left(\cosh^{3}\left(b x +a \right)\right)}{15}-\frac{2 \left(b x +a \right) \sinh \left(b x +a \right) \left(\cosh^{4}\left(b x +a \right)\right)}{25}+\frac{52 \left(b x +a \right) \sinh \left(b x +a \right)}{225}+\frac{26 \left(b x +a \right) \sinh \left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{225}+\frac{2 \left(\cosh^{5}\left(b x +a \right)\right)}{125}-\frac{52 \cosh \left(b x +a \right)}{225}-\frac{26 \left(\cosh^{3}\left(b x +a \right)\right)}{675}-2 a \left(\frac{\left(b x +a \right) \left(\sinh^{2}\left(b x +a \right)\right) \left(\cosh^{3}\left(b x +a \right)\right)}{5}-\frac{2 \left(b x +a \right) \left(\cosh^{3}\left(b x +a \right)\right)}{15}-\frac{\sinh \left(b x +a \right) \left(\cosh^{4}\left(b x +a \right)\right)}{25}+\frac{26 \sinh \left(b x +a \right)}{225}+\frac{13 \left(\cosh^{2}\left(b x +a \right)\right) \sinh \left(b x +a \right)}{225}\right)+a^{2} \left(\frac{\left(\cosh^{3}\left(b x +a \right)\right) \left(\sinh^{2}\left(b x +a \right)\right)}{5}-\frac{2 \left(\cosh^{3}\left(b x +a \right)\right)}{15}\right)}{b^{3}}"," ",0,"1/b^3*(1/5*(b*x+a)^2*sinh(b*x+a)^2*cosh(b*x+a)^3-2/15*(b*x+a)^2*cosh(b*x+a)^3-2/25*(b*x+a)*sinh(b*x+a)*cosh(b*x+a)^4+52/225*(b*x+a)*sinh(b*x+a)+26/225*(b*x+a)*sinh(b*x+a)*cosh(b*x+a)^2+2/125*cosh(b*x+a)^5-52/225*cosh(b*x+a)-26/675*cosh(b*x+a)^3-2*a*(1/5*(b*x+a)*sinh(b*x+a)^2*cosh(b*x+a)^3-2/15*(b*x+a)*cosh(b*x+a)^3-1/25*sinh(b*x+a)*cosh(b*x+a)^4+26/225*sinh(b*x+a)+13/225*cosh(b*x+a)^2*sinh(b*x+a))+a^2*(1/5*cosh(b*x+a)^3*sinh(b*x+a)^2-2/15*cosh(b*x+a)^3))","A"
319,1,116,82,0.280000," ","int(x*cosh(b*x+a)^2*sinh(b*x+a)^3,x)","\frac{\frac{\left(b x +a \right) \left(\sinh^{2}\left(b x +a \right)\right) \left(\cosh^{3}\left(b x +a \right)\right)}{5}-\frac{2 \left(b x +a \right) \left(\cosh^{3}\left(b x +a \right)\right)}{15}-\frac{\sinh \left(b x +a \right) \left(\cosh^{4}\left(b x +a \right)\right)}{25}+\frac{26 \sinh \left(b x +a \right)}{225}+\frac{13 \left(\cosh^{2}\left(b x +a \right)\right) \sinh \left(b x +a \right)}{225}-a \left(\frac{\left(\cosh^{3}\left(b x +a \right)\right) \left(\sinh^{2}\left(b x +a \right)\right)}{5}-\frac{2 \left(\cosh^{3}\left(b x +a \right)\right)}{15}\right)}{b^{2}}"," ",0,"1/b^2*(1/5*(b*x+a)*sinh(b*x+a)^2*cosh(b*x+a)^3-2/15*(b*x+a)*cosh(b*x+a)^3-1/25*sinh(b*x+a)*cosh(b*x+a)^4+26/225*sinh(b*x+a)+13/225*cosh(b*x+a)^2*sinh(b*x+a)-a*(1/5*cosh(b*x+a)^3*sinh(b*x+a)^2-2/15*cosh(b*x+a)^3))","A"
320,1,34,27,0.063000," ","int(cosh(b*x+a)^2*sinh(b*x+a)^3,x)","\frac{\frac{\left(\cosh^{3}\left(b x +a \right)\right) \left(\sinh^{2}\left(b x +a \right)\right)}{5}-\frac{2 \left(\cosh^{3}\left(b x +a \right)\right)}{15}}{b}"," ",0,"1/b*(1/5*cosh(b*x+a)^3*sinh(b*x+a)^2-2/15*cosh(b*x+a)^3)","A"
321,1,71,61,0.398000," ","int(cosh(b*x+a)^2*sinh(b*x+a)^3/x,x)","\frac{{\mathrm e}^{-5 a} \Ei \left(1, 5 b x \right)}{32}-\frac{{\mathrm e}^{-3 a} \Ei \left(1, 3 b x \right)}{32}-\frac{{\mathrm e}^{-a} \Ei \left(1, b x \right)}{16}+\frac{{\mathrm e}^{a} \Ei \left(1, -b x \right)}{16}+\frac{{\mathrm e}^{3 a} \Ei \left(1, -3 b x \right)}{32}-\frac{{\mathrm e}^{5 a} \Ei \left(1, -5 b x \right)}{32}"," ",0,"1/32*exp(-5*a)*Ei(1,5*b*x)-1/32*exp(-3*a)*Ei(1,3*b*x)-1/16*exp(-a)*Ei(1,b*x)+1/16*exp(a)*Ei(1,-b*x)+1/32*exp(3*a)*Ei(1,-3*b*x)-1/32*exp(5*a)*Ei(1,-5*b*x)","A"
322,1,158,106,0.406000," ","int(cosh(b*x+a)^2*sinh(b*x+a)^3/x^2,x)","\frac{{\mathrm e}^{-5 b x -5 a}}{32 x}-\frac{5 b \,{\mathrm e}^{-5 a} \Ei \left(1, 5 b x \right)}{32}-\frac{{\mathrm e}^{-3 b x -3 a}}{32 x}+\frac{3 b \,{\mathrm e}^{-3 a} \Ei \left(1, 3 b x \right)}{32}-\frac{{\mathrm e}^{-b x -a}}{16 x}+\frac{b \,{\mathrm e}^{-a} \Ei \left(1, b x \right)}{16}+\frac{{\mathrm e}^{b x +a}}{16 x}+\frac{b \,{\mathrm e}^{a} \Ei \left(1, -b x \right)}{16}+\frac{{\mathrm e}^{3 b x +3 a}}{32 x}+\frac{3 b \,{\mathrm e}^{3 a} \Ei \left(1, -3 b x \right)}{32}-\frac{{\mathrm e}^{5 b x +5 a}}{32 x}-\frac{5 b \,{\mathrm e}^{5 a} \Ei \left(1, -5 b x \right)}{32}"," ",0,"1/32*exp(-5*b*x-5*a)/x-5/32*b*exp(-5*a)*Ei(1,5*b*x)-1/32*exp(-3*b*x-3*a)/x+3/32*b*exp(-3*a)*Ei(1,3*b*x)-1/16*exp(-b*x-a)/x+1/16*b*exp(-a)*Ei(1,b*x)+1/16/x*exp(b*x+a)+1/16*b*exp(a)*Ei(1,-b*x)+1/32/x*exp(3*b*x+3*a)+3/32*b*exp(3*a)*Ei(1,-3*b*x)-1/32/x*exp(5*b*x+5*a)-5/32*b*exp(5*a)*Ei(1,-5*b*x)","A"
323,1,257,160,0.418000," ","int(cosh(b*x+a)^2*sinh(b*x+a)^3/x^3,x)","-\frac{5 b \,{\mathrm e}^{-5 b x -5 a}}{64 x}+\frac{{\mathrm e}^{-5 b x -5 a}}{64 x^{2}}+\frac{25 b^{2} {\mathrm e}^{-5 a} \Ei \left(1, 5 b x \right)}{64}+\frac{3 b \,{\mathrm e}^{-3 b x -3 a}}{64 x}-\frac{{\mathrm e}^{-3 b x -3 a}}{64 x^{2}}-\frac{9 b^{2} {\mathrm e}^{-3 a} \Ei \left(1, 3 b x \right)}{64}+\frac{b \,{\mathrm e}^{-b x -a}}{32 x}-\frac{{\mathrm e}^{-b x -a}}{32 x^{2}}-\frac{b^{2} {\mathrm e}^{-a} \Ei \left(1, b x \right)}{32}+\frac{{\mathrm e}^{b x +a}}{32 x^{2}}+\frac{b \,{\mathrm e}^{b x +a}}{32 x}+\frac{b^{2} {\mathrm e}^{a} \Ei \left(1, -b x \right)}{32}+\frac{{\mathrm e}^{3 b x +3 a}}{64 x^{2}}+\frac{3 b \,{\mathrm e}^{3 b x +3 a}}{64 x}+\frac{9 b^{2} {\mathrm e}^{3 a} \Ei \left(1, -3 b x \right)}{64}-\frac{{\mathrm e}^{5 b x +5 a}}{64 x^{2}}-\frac{5 b \,{\mathrm e}^{5 b x +5 a}}{64 x}-\frac{25 b^{2} {\mathrm e}^{5 a} \Ei \left(1, -5 b x \right)}{64}"," ",0,"-5/64*b*exp(-5*b*x-5*a)/x+1/64*exp(-5*b*x-5*a)/x^2+25/64*b^2*exp(-5*a)*Ei(1,5*b*x)+3/64*b*exp(-3*b*x-3*a)/x-1/64*exp(-3*b*x-3*a)/x^2-9/64*b^2*exp(-3*a)*Ei(1,3*b*x)+1/32*b*exp(-b*x-a)/x-1/32*exp(-b*x-a)/x^2-1/32*b^2*exp(-a)*Ei(1,b*x)+1/32/x^2*exp(b*x+a)+1/32*b/x*exp(b*x+a)+1/32*b^2*exp(a)*Ei(1,-b*x)+1/64/x^2*exp(3*b*x+3*a)+3/64*b/x*exp(3*b*x+3*a)+9/64*b^2*exp(3*a)*Ei(1,-3*b*x)-1/64/x^2*exp(5*b*x+5*a)-5/64*b/x*exp(5*b*x+5*a)-25/64*b^2*exp(5*a)*Ei(1,-5*b*x)","A"
324,1,356,208,0.418000," ","int(cosh(b*x+a)^2*sinh(b*x+a)^3/x^4,x)","\frac{25 b^{2} {\mathrm e}^{-5 b x -5 a}}{192 x}-\frac{5 b \,{\mathrm e}^{-5 b x -5 a}}{192 x^{2}}+\frac{{\mathrm e}^{-5 b x -5 a}}{96 x^{3}}-\frac{125 b^{3} {\mathrm e}^{-5 a} \Ei \left(1, 5 b x \right)}{192}-\frac{3 b^{2} {\mathrm e}^{-3 b x -3 a}}{64 x}+\frac{b \,{\mathrm e}^{-3 b x -3 a}}{64 x^{2}}-\frac{{\mathrm e}^{-3 b x -3 a}}{96 x^{3}}+\frac{9 b^{3} {\mathrm e}^{-3 a} \Ei \left(1, 3 b x \right)}{64}-\frac{b^{2} {\mathrm e}^{-b x -a}}{96 x}+\frac{b \,{\mathrm e}^{-b x -a}}{96 x^{2}}-\frac{{\mathrm e}^{-b x -a}}{48 x^{3}}+\frac{b^{3} {\mathrm e}^{-a} \Ei \left(1, b x \right)}{96}+\frac{{\mathrm e}^{b x +a}}{48 x^{3}}+\frac{b \,{\mathrm e}^{b x +a}}{96 x^{2}}+\frac{b^{2} {\mathrm e}^{b x +a}}{96 x}+\frac{b^{3} {\mathrm e}^{a} \Ei \left(1, -b x \right)}{96}+\frac{{\mathrm e}^{3 b x +3 a}}{96 x^{3}}+\frac{b \,{\mathrm e}^{3 b x +3 a}}{64 x^{2}}+\frac{3 b^{2} {\mathrm e}^{3 b x +3 a}}{64 x}+\frac{9 b^{3} {\mathrm e}^{3 a} \Ei \left(1, -3 b x \right)}{64}-\frac{{\mathrm e}^{5 b x +5 a}}{96 x^{3}}-\frac{5 b \,{\mathrm e}^{5 b x +5 a}}{192 x^{2}}-\frac{25 b^{2} {\mathrm e}^{5 b x +5 a}}{192 x}-\frac{125 b^{3} {\mathrm e}^{5 a} \Ei \left(1, -5 b x \right)}{192}"," ",0,"25/192*b^2*exp(-5*b*x-5*a)/x-5/192*b*exp(-5*b*x-5*a)/x^2+1/96*exp(-5*b*x-5*a)/x^3-125/192*b^3*exp(-5*a)*Ei(1,5*b*x)-3/64*b^2*exp(-3*b*x-3*a)/x+1/64*b*exp(-3*b*x-3*a)/x^2-1/96*exp(-3*b*x-3*a)/x^3+9/64*b^3*exp(-3*a)*Ei(1,3*b*x)-1/96*b^2*exp(-b*x-a)/x+1/96*b*exp(-b*x-a)/x^2-1/48*exp(-b*x-a)/x^3+1/96*b^3*exp(-a)*Ei(1,b*x)+1/48/x^3*exp(b*x+a)+1/96*b/x^2*exp(b*x+a)+1/96*b^2/x*exp(b*x+a)+1/96*b^3*exp(a)*Ei(1,-b*x)+1/96/x^3*exp(3*b*x+3*a)+1/64*b/x^2*exp(3*b*x+3*a)+3/64*b^2/x*exp(3*b*x+3*a)+9/64*b^3*exp(3*a)*Ei(1,-3*b*x)-1/96/x^3*exp(5*b*x+5*a)-5/192*b/x^2*exp(5*b*x+5*a)-25/192*b^2/x*exp(5*b*x+5*a)-125/192*b^3*exp(5*a)*Ei(1,-5*b*x)","A"
325,0,0,155,0.601000," ","int(x^m*cosh(b*x+a)^3*sinh(b*x+a)^3,x)","\int x^{m} \left(\cosh^{3}\left(b x +a \right)\right) \left(\sinh^{3}\left(b x +a \right)\right)\, dx"," ",0,"int(x^m*cosh(b*x+a)^3*sinh(b*x+a)^3,x)","F"
326,1,499,127,0.428000," ","int(x^3*cosh(b*x+a)^3*sinh(b*x+a)^3,x)","\frac{\frac{\left(b x +a \right)^{3} \left(\sinh^{2}\left(b x +a \right)\right) \left(\cosh^{4}\left(b x +a \right)\right)}{6}-\frac{\left(b x +a \right)^{3} \left(\cosh^{4}\left(b x +a \right)\right)}{12}-\frac{\left(b x +a \right)^{2} \sinh \left(b x +a \right) \left(\cosh^{5}\left(b x +a \right)\right)}{12}+\frac{\left(b x +a \right)^{2} \sinh \left(b x +a \right) \left(\cosh^{3}\left(b x +a \right)\right)}{12}+\frac{\left(b x +a \right)^{2} \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{8}+\frac{\left(b x +a \right)^{3}}{24}+\frac{\left(b x +a \right) \left(\cosh^{6}\left(b x +a \right)\right)}{36}-\frac{\sinh \left(b x +a \right) \left(\cosh^{5}\left(b x +a \right)\right)}{216}+\frac{\left(\cosh^{3}\left(b x +a \right)\right) \sinh \left(b x +a \right)}{216}+\frac{5 \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{72}+\frac{5 b x}{72}+\frac{5 a}{72}-\frac{\left(b x +a \right) \left(\cosh^{4}\left(b x +a \right)\right)}{24}-\frac{\left(b x +a \right) \left(\cosh^{2}\left(b x +a \right)\right)}{8}-3 a \left(\frac{\left(b x +a \right)^{2} \left(\sinh^{2}\left(b x +a \right)\right) \left(\cosh^{4}\left(b x +a \right)\right)}{6}-\frac{\left(b x +a \right)^{2} \left(\cosh^{4}\left(b x +a \right)\right)}{12}-\frac{\left(b x +a \right) \sinh \left(b x +a \right) \left(\cosh^{5}\left(b x +a \right)\right)}{18}+\frac{\left(b x +a \right) \sinh \left(b x +a \right) \left(\cosh^{3}\left(b x +a \right)\right)}{18}+\frac{\left(b x +a \right) \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{12}+\frac{\left(b x +a \right)^{2}}{24}+\frac{\left(\cosh^{6}\left(b x +a \right)\right)}{108}-\frac{\left(\cosh^{4}\left(b x +a \right)\right)}{72}-\frac{\left(\cosh^{2}\left(b x +a \right)\right)}{24}\right)+3 a^{2} \left(\frac{\left(b x +a \right) \left(\sinh^{2}\left(b x +a \right)\right) \left(\cosh^{4}\left(b x +a \right)\right)}{6}-\frac{\left(b x +a \right) \left(\cosh^{4}\left(b x +a \right)\right)}{12}-\frac{\sinh \left(b x +a \right) \left(\cosh^{5}\left(b x +a \right)\right)}{36}+\frac{\left(\cosh^{3}\left(b x +a \right)\right) \sinh \left(b x +a \right)}{36}+\frac{\cosh \left(b x +a \right) \sinh \left(b x +a \right)}{24}+\frac{b x}{24}+\frac{a}{24}\right)-a^{3} \left(\frac{\left(\cosh^{4}\left(b x +a \right)\right) \left(\sinh^{2}\left(b x +a \right)\right)}{6}-\frac{\left(\cosh^{4}\left(b x +a \right)\right)}{12}\right)}{b^{4}}"," ",0,"1/b^4*(1/6*(b*x+a)^3*sinh(b*x+a)^2*cosh(b*x+a)^4-1/12*(b*x+a)^3*cosh(b*x+a)^4-1/12*(b*x+a)^2*sinh(b*x+a)*cosh(b*x+a)^5+1/12*(b*x+a)^2*sinh(b*x+a)*cosh(b*x+a)^3+1/8*(b*x+a)^2*cosh(b*x+a)*sinh(b*x+a)+1/24*(b*x+a)^3+1/36*(b*x+a)*cosh(b*x+a)^6-1/216*sinh(b*x+a)*cosh(b*x+a)^5+1/216*cosh(b*x+a)^3*sinh(b*x+a)+5/72*cosh(b*x+a)*sinh(b*x+a)+5/72*b*x+5/72*a-1/24*(b*x+a)*cosh(b*x+a)^4-1/8*(b*x+a)*cosh(b*x+a)^2-3*a*(1/6*(b*x+a)^2*sinh(b*x+a)^2*cosh(b*x+a)^4-1/12*(b*x+a)^2*cosh(b*x+a)^4-1/18*(b*x+a)*sinh(b*x+a)*cosh(b*x+a)^5+1/18*(b*x+a)*sinh(b*x+a)*cosh(b*x+a)^3+1/12*(b*x+a)*cosh(b*x+a)*sinh(b*x+a)+1/24*(b*x+a)^2+1/108*cosh(b*x+a)^6-1/72*cosh(b*x+a)^4-1/24*cosh(b*x+a)^2)+3*a^2*(1/6*(b*x+a)*sinh(b*x+a)^2*cosh(b*x+a)^4-1/12*(b*x+a)*cosh(b*x+a)^4-1/36*sinh(b*x+a)*cosh(b*x+a)^5+1/36*cosh(b*x+a)^3*sinh(b*x+a)+1/24*cosh(b*x+a)*sinh(b*x+a)+1/24*b*x+1/24*a)-a^3*(1/6*cosh(b*x+a)^4*sinh(b*x+a)^2-1/12*cosh(b*x+a)^4))","B"
327,1,276,93,0.331000," ","int(x^2*cosh(b*x+a)^3*sinh(b*x+a)^3,x)","\frac{\frac{\left(b x +a \right)^{2} \left(\sinh^{2}\left(b x +a \right)\right) \left(\cosh^{4}\left(b x +a \right)\right)}{6}-\frac{\left(b x +a \right)^{2} \left(\cosh^{4}\left(b x +a \right)\right)}{12}-\frac{\left(b x +a \right) \sinh \left(b x +a \right) \left(\cosh^{5}\left(b x +a \right)\right)}{18}+\frac{\left(b x +a \right) \sinh \left(b x +a \right) \left(\cosh^{3}\left(b x +a \right)\right)}{18}+\frac{\left(b x +a \right) \cosh \left(b x +a \right) \sinh \left(b x +a \right)}{12}+\frac{\left(b x +a \right)^{2}}{24}+\frac{\left(\cosh^{6}\left(b x +a \right)\right)}{108}-\frac{\left(\cosh^{4}\left(b x +a \right)\right)}{72}-\frac{\left(\cosh^{2}\left(b x +a \right)\right)}{24}-2 a \left(\frac{\left(b x +a \right) \left(\sinh^{2}\left(b x +a \right)\right) \left(\cosh^{4}\left(b x +a \right)\right)}{6}-\frac{\left(b x +a \right) \left(\cosh^{4}\left(b x +a \right)\right)}{12}-\frac{\sinh \left(b x +a \right) \left(\cosh^{5}\left(b x +a \right)\right)}{36}+\frac{\left(\cosh^{3}\left(b x +a \right)\right) \sinh \left(b x +a \right)}{36}+\frac{\cosh \left(b x +a \right) \sinh \left(b x +a \right)}{24}+\frac{b x}{24}+\frac{a}{24}\right)+a^{2} \left(\frac{\left(\cosh^{4}\left(b x +a \right)\right) \left(\sinh^{2}\left(b x +a \right)\right)}{6}-\frac{\left(\cosh^{4}\left(b x +a \right)\right)}{12}\right)}{b^{3}}"," ",0,"1/b^3*(1/6*(b*x+a)^2*sinh(b*x+a)^2*cosh(b*x+a)^4-1/12*(b*x+a)^2*cosh(b*x+a)^4-1/18*(b*x+a)*sinh(b*x+a)*cosh(b*x+a)^5+1/18*(b*x+a)*sinh(b*x+a)*cosh(b*x+a)^3+1/12*(b*x+a)*cosh(b*x+a)*sinh(b*x+a)+1/24*(b*x+a)^2+1/108*cosh(b*x+a)^6-1/72*cosh(b*x+a)^4-1/24*cosh(b*x+a)^2-2*a*(1/6*(b*x+a)*sinh(b*x+a)^2*cosh(b*x+a)^4-1/12*(b*x+a)*cosh(b*x+a)^4-1/36*sinh(b*x+a)*cosh(b*x+a)^5+1/36*cosh(b*x+a)^3*sinh(b*x+a)+1/24*cosh(b*x+a)*sinh(b*x+a)+1/24*b*x+1/24*a)+a^2*(1/6*cosh(b*x+a)^4*sinh(b*x+a)^2-1/12*cosh(b*x+a)^4))","B"
328,1,129,59,0.329000," ","int(x*cosh(b*x+a)^3*sinh(b*x+a)^3,x)","\frac{\frac{\left(b x +a \right) \left(\sinh^{2}\left(b x +a \right)\right) \left(\cosh^{4}\left(b x +a \right)\right)}{6}-\frac{\left(b x +a \right) \left(\cosh^{4}\left(b x +a \right)\right)}{12}-\frac{\sinh \left(b x +a \right) \left(\cosh^{5}\left(b x +a \right)\right)}{36}+\frac{\left(\cosh^{3}\left(b x +a \right)\right) \sinh \left(b x +a \right)}{36}+\frac{\cosh \left(b x +a \right) \sinh \left(b x +a \right)}{24}+\frac{b x}{24}+\frac{a}{24}-a \left(\frac{\left(\cosh^{4}\left(b x +a \right)\right) \left(\sinh^{2}\left(b x +a \right)\right)}{6}-\frac{\left(\cosh^{4}\left(b x +a \right)\right)}{12}\right)}{b^{2}}"," ",0,"1/b^2*(1/6*(b*x+a)*sinh(b*x+a)^2*cosh(b*x+a)^4-1/12*(b*x+a)*cosh(b*x+a)^4-1/36*sinh(b*x+a)*cosh(b*x+a)^5+1/36*cosh(b*x+a)^3*sinh(b*x+a)+1/24*cosh(b*x+a)*sinh(b*x+a)+1/24*b*x+1/24*a-a*(1/6*cosh(b*x+a)^4*sinh(b*x+a)^2-1/12*cosh(b*x+a)^4))","B"
329,1,34,27,0.065000," ","int(cosh(b*x+a)^3*sinh(b*x+a)^3,x)","\frac{\frac{\left(\cosh^{4}\left(b x +a \right)\right) \left(\sinh^{2}\left(b x +a \right)\right)}{6}-\frac{\left(\cosh^{4}\left(b x +a \right)\right)}{12}}{b}"," ",0,"1/b*(1/6*cosh(b*x+a)^4*sinh(b*x+a)^2-1/12*cosh(b*x+a)^4)","A"
330,1,50,45,0.681000," ","int(cosh(b*x+a)^3*sinh(b*x+a)^3/x,x)","\frac{{\mathrm e}^{-6 a} \Ei \left(1, 6 b x \right)}{64}-\frac{3 \,{\mathrm e}^{-2 a} \Ei \left(1, 2 b x \right)}{64}+\frac{3 \,{\mathrm e}^{2 a} \Ei \left(1, -2 b x \right)}{64}-\frac{{\mathrm e}^{6 a} \Ei \left(1, -6 b x \right)}{64}"," ",0,"1/64*exp(-6*a)*Ei(1,6*b*x)-3/64*exp(-2*a)*Ei(1,2*b*x)+3/64*exp(2*a)*Ei(1,-2*b*x)-1/64*exp(6*a)*Ei(1,-6*b*x)","A"
331,1,110,77,0.682000," ","int(cosh(b*x+a)^3*sinh(b*x+a)^3/x^2,x)","\frac{{\mathrm e}^{-6 b x -6 a}}{64 x}-\frac{3 b \,{\mathrm e}^{-6 a} \Ei \left(1, 6 b x \right)}{32}-\frac{3 \,{\mathrm e}^{-2 b x -2 a}}{64 x}+\frac{3 b \,{\mathrm e}^{-2 a} \Ei \left(1, 2 b x \right)}{32}+\frac{3 \,{\mathrm e}^{2 b x +2 a}}{64 x}+\frac{3 b \,{\mathrm e}^{2 a} \Ei \left(1, -2 b x \right)}{32}-\frac{{\mathrm e}^{6 b x +6 a}}{64 x}-\frac{3 b \,{\mathrm e}^{6 a} \Ei \left(1, -6 b x \right)}{32}"," ",0,"1/64*exp(-6*b*x-6*a)/x-3/32*b*exp(-6*a)*Ei(1,6*b*x)-3/64*exp(-2*b*x-2*a)/x+3/32*b*exp(-2*a)*Ei(1,2*b*x)+3/64*exp(2*b*x+2*a)/x+3/32*b*exp(2*a)*Ei(1,-2*b*x)-1/64/x*exp(6*b*x+6*a)-3/32*b*exp(6*a)*Ei(1,-6*b*x)","A"
332,1,178,115,0.686000," ","int(cosh(b*x+a)^3*sinh(b*x+a)^3/x^3,x)","-\frac{3 b \,{\mathrm e}^{-6 b x -6 a}}{64 x}+\frac{{\mathrm e}^{-6 b x -6 a}}{128 x^{2}}+\frac{9 b^{2} {\mathrm e}^{-6 a} \Ei \left(1, 6 b x \right)}{32}+\frac{3 b \,{\mathrm e}^{-2 b x -2 a}}{64 x}-\frac{3 \,{\mathrm e}^{-2 b x -2 a}}{128 x^{2}}-\frac{3 b^{2} {\mathrm e}^{-2 a} \Ei \left(1, 2 b x \right)}{32}+\frac{3 \,{\mathrm e}^{2 b x +2 a}}{128 x^{2}}+\frac{3 b \,{\mathrm e}^{2 b x +2 a}}{64 x}+\frac{3 b^{2} {\mathrm e}^{2 a} \Ei \left(1, -2 b x \right)}{32}-\frac{{\mathrm e}^{6 b x +6 a}}{128 x^{2}}-\frac{3 b \,{\mathrm e}^{6 b x +6 a}}{64 x}-\frac{9 b^{2} {\mathrm e}^{6 a} \Ei \left(1, -6 b x \right)}{32}"," ",0,"-3/64*b*exp(-6*b*x-6*a)/x+1/128*exp(-6*b*x-6*a)/x^2+9/32*b^2*exp(-6*a)*Ei(1,6*b*x)+3/64*b*exp(-2*b*x-2*a)/x-3/128*exp(-2*b*x-2*a)/x^2-3/32*b^2*exp(-2*a)*Ei(1,2*b*x)+3/128*exp(2*b*x+2*a)/x^2+3/64*b*exp(2*b*x+2*a)/x+3/32*b^2*exp(2*a)*Ei(1,-2*b*x)-1/128/x^2*exp(6*b*x+6*a)-3/64*b/x*exp(6*b*x+6*a)-9/32*b^2*exp(6*a)*Ei(1,-6*b*x)","A"
333,1,246,149,0.689000," ","int(cosh(b*x+a)^3*sinh(b*x+a)^3/x^4,x)","\frac{3 b^{2} {\mathrm e}^{-6 b x -6 a}}{32 x}-\frac{b \,{\mathrm e}^{-6 b x -6 a}}{64 x^{2}}+\frac{{\mathrm e}^{-6 b x -6 a}}{192 x^{3}}-\frac{9 b^{3} {\mathrm e}^{-6 a} \Ei \left(1, 6 b x \right)}{16}-\frac{b^{2} {\mathrm e}^{-2 b x -2 a}}{32 x}+\frac{b \,{\mathrm e}^{-2 b x -2 a}}{64 x^{2}}-\frac{{\mathrm e}^{-2 b x -2 a}}{64 x^{3}}+\frac{b^{3} {\mathrm e}^{-2 a} \Ei \left(1, 2 b x \right)}{16}+\frac{{\mathrm e}^{2 b x +2 a}}{64 x^{3}}+\frac{b \,{\mathrm e}^{2 b x +2 a}}{64 x^{2}}+\frac{b^{2} {\mathrm e}^{2 b x +2 a}}{32 x}+\frac{b^{3} {\mathrm e}^{2 a} \Ei \left(1, -2 b x \right)}{16}-\frac{{\mathrm e}^{6 b x +6 a}}{192 x^{3}}-\frac{b \,{\mathrm e}^{6 b x +6 a}}{64 x^{2}}-\frac{3 b^{2} {\mathrm e}^{6 b x +6 a}}{32 x}-\frac{9 b^{3} {\mathrm e}^{6 a} \Ei \left(1, -6 b x \right)}{16}"," ",0,"3/32*b^2*exp(-6*b*x-6*a)/x-1/64*b*exp(-6*b*x-6*a)/x^2+1/192*exp(-6*b*x-6*a)/x^3-9/16*b^3*exp(-6*a)*Ei(1,6*b*x)-1/32*b^2*exp(-2*b*x-2*a)/x+1/64*b*exp(-2*b*x-2*a)/x^2-1/64*exp(-2*b*x-2*a)/x^3+1/16*b^3*exp(-2*a)*Ei(1,2*b*x)+1/64*exp(2*b*x+2*a)/x^3+1/64*b*exp(2*b*x+2*a)/x^2+1/32*b^2*exp(2*b*x+2*a)/x+1/16*b^3*exp(2*a)*Ei(1,-2*b*x)-1/192/x^3*exp(6*b*x+6*a)-1/64*b/x^2*exp(6*b*x+6*a)-3/32*b^2/x*exp(6*b*x+6*a)-9/16*b^3*exp(6*a)*Ei(1,-6*b*x)","A"
334,0,0,12,0.135000," ","int(x^m*sech(b*x+a)*sinh(b*x+a),x)","\int x^{m} \mathrm{sech}\left(b x +a \right) \sinh \left(b x +a \right)\, dx"," ",0,"int(x^m*sech(b*x+a)*sinh(b*x+a),x)","F"
335,1,116,83,0.318000," ","int(x^3*sech(b*x+a)*sinh(b*x+a),x)","-\frac{x^{4}}{4}-\frac{2 a^{3} x}{b^{3}}-\frac{3 a^{4}}{2 b^{4}}+\frac{x^{3} \ln \left(1+{\mathrm e}^{2 b x +2 a}\right)}{b}+\frac{3 x^{2} \polylog \left(2, -{\mathrm e}^{2 b x +2 a}\right)}{2 b^{2}}-\frac{3 x \polylog \left(3, -{\mathrm e}^{2 b x +2 a}\right)}{2 b^{3}}+\frac{3 \polylog \left(4, -{\mathrm e}^{2 b x +2 a}\right)}{4 b^{4}}+\frac{2 a^{3} \ln \left({\mathrm e}^{b x +a}\right)}{b^{4}}"," ",0,"-1/4*x^4-2/b^3*a^3*x-3/2/b^4*a^4+x^3*ln(1+exp(2*b*x+2*a))/b+3/2*x^2*polylog(2,-exp(2*b*x+2*a))/b^2-3/2*x*polylog(3,-exp(2*b*x+2*a))/b^3+3/4*polylog(4,-exp(2*b*x+2*a))/b^4+2/b^4*a^3*ln(exp(b*x+a))","A"
336,1,94,61,0.317000," ","int(x^2*sech(b*x+a)*sinh(b*x+a),x)","-\frac{x^{3}}{3}-\frac{2 a^{2} \ln \left({\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{2 a^{2} x}{b^{2}}+\frac{4 a^{3}}{3 b^{3}}+\frac{x^{2} \ln \left(1+{\mathrm e}^{2 b x +2 a}\right)}{b}+\frac{x \polylog \left(2, -{\mathrm e}^{2 b x +2 a}\right)}{b^{2}}-\frac{\polylog \left(3, -{\mathrm e}^{2 b x +2 a}\right)}{2 b^{3}}"," ",0,"-1/3*x^3-2/b^3*a^2*ln(exp(b*x+a))+2/b^2*a^2*x+4/3/b^3*a^3+x^2*ln(1+exp(2*b*x+2*a))/b+x*polylog(2,-exp(2*b*x+2*a))/b^2-1/2*polylog(3,-exp(2*b*x+2*a))/b^3","A"
337,1,70,41,0.306000," ","int(x*sech(b*x+a)*sinh(b*x+a),x)","-\frac{x^{2}}{2}-\frac{2 a x}{b}-\frac{a^{2}}{b^{2}}+\frac{x \ln \left(1+{\mathrm e}^{2 b x +2 a}\right)}{b}+\frac{\polylog \left(2, -{\mathrm e}^{2 b x +2 a}\right)}{2 b^{2}}+\frac{2 a \ln \left({\mathrm e}^{b x +a}\right)}{b^{2}}"," ",0,"-1/2*x^2-2/b*a*x-a^2/b^2+x*ln(1+exp(2*b*x+2*a))/b+1/2*polylog(2,-exp(2*b*x+2*a))/b^2+2/b^2*a*ln(exp(b*x+a))","A"
338,1,13,11,0.026000," ","int(sech(b*x+a)*sinh(b*x+a),x)","-\frac{\ln \left(\mathrm{sech}\left(b x +a \right)\right)}{b}"," ",0,"-1/b*ln(sech(b*x+a))","A"
339,0,0,12,0.332000," ","int(sech(b*x+a)*sinh(b*x+a)/x,x)","\int \frac{\mathrm{sech}\left(b x +a \right) \sinh \left(b x +a \right)}{x}\, dx"," ",0,"int(sech(b*x+a)*sinh(b*x+a)/x,x)","F"
340,0,0,12,0.334000," ","int(sech(b*x+a)*sinh(b*x+a)/x^2,x)","\int \frac{\mathrm{sech}\left(b x +a \right) \sinh \left(b x +a \right)}{x^{2}}\, dx"," ",0,"int(sech(b*x+a)*sinh(b*x+a)/x^2,x)","F"
341,0,0,18,0.101000," ","int(x^m*sech(b*x+a)^2*sinh(b*x+a),x)","\int x^{m} \mathrm{sech}\left(b x +a \right)^{2} \sinh \left(b x +a \right)\, dx"," ",0,"int(x^m*sech(b*x+a)^2*sinh(b*x+a),x)","F"
342,0,0,100,0.557000," ","int(x^3*sech(b*x+a)^2*sinh(b*x+a),x)","\int x^{3} \mathrm{sech}\left(b x +a \right)^{2} \sinh \left(b x +a \right)\, dx"," ",0,"int(x^3*sech(b*x+a)^2*sinh(b*x+a),x)","F"
343,1,154,62,0.327000," ","int(x^2*sech(b*x+a)^2*sinh(b*x+a),x)","-\frac{2 x^{2} {\mathrm e}^{b x +a}}{b \left(1+{\mathrm e}^{2 b x +2 a}\right)}-\frac{2 i \ln \left(1+i {\mathrm e}^{b x +a}\right) x}{b^{2}}-\frac{2 i \ln \left(1+i {\mathrm e}^{b x +a}\right) a}{b^{3}}+\frac{2 i \ln \left(1-i {\mathrm e}^{b x +a}\right) x}{b^{2}}+\frac{2 i \ln \left(1-i {\mathrm e}^{b x +a}\right) a}{b^{3}}-\frac{2 i \dilog \left(1+i {\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{2 i \dilog \left(1-i {\mathrm e}^{b x +a}\right)}{b^{3}}-\frac{4 a \arctan \left({\mathrm e}^{b x +a}\right)}{b^{3}}"," ",0,"-2*x^2*exp(b*x+a)/b/(1+exp(2*b*x+2*a))-2*I/b^2*ln(1+I*exp(b*x+a))*x-2*I/b^3*ln(1+I*exp(b*x+a))*a+2*I/b^2*ln(1-I*exp(b*x+a))*x+2*I/b^3*ln(1-I*exp(b*x+a))*a-2*I/b^3*dilog(1+I*exp(b*x+a))+2*I/b^3*dilog(1-I*exp(b*x+a))-4/b^3*a*arctan(exp(b*x+a))","B"
344,1,59,24,0.168000," ","int(x*sech(b*x+a)^2*sinh(b*x+a),x)","-\frac{2 x \,{\mathrm e}^{b x +a}}{b \left(1+{\mathrm e}^{2 b x +2 a}\right)}+\frac{i \ln \left({\mathrm e}^{b x +a}+i\right)}{b^{2}}-\frac{i \ln \left({\mathrm e}^{b x +a}-i\right)}{b^{2}}"," ",0,"-2*x*exp(b*x+a)/b/(1+exp(2*b*x+2*a))+I/b^2*ln(exp(b*x+a)+I)-I/b^2*ln(exp(b*x+a)-I)","C"
345,1,12,11,0.023000," ","int(sech(b*x+a)^2*sinh(b*x+a),x)","-\frac{\mathrm{sech}\left(b x +a \right)}{b}"," ",0,"-sech(b*x+a)/b","A"
346,0,0,18,0.360000," ","int(sech(b*x+a)^2*sinh(b*x+a)/x,x)","\int \frac{\mathrm{sech}\left(b x +a \right)^{2} \sinh \left(b x +a \right)}{x}\, dx"," ",0,"int(sech(b*x+a)^2*sinh(b*x+a)/x,x)","F"
347,0,0,18,0.347000," ","int(sech(b*x+a)^2*sinh(b*x+a)/x^2,x)","\int \frac{\mathrm{sech}\left(b x +a \right)^{2} \sinh \left(b x +a \right)}{x^{2}}\, dx"," ",0,"int(sech(b*x+a)^2*sinh(b*x+a)/x^2,x)","F"
348,0,0,20,0.112000," ","int(x^m*sech(b*x+a)^3*sinh(b*x+a),x)","\int x^{m} \mathrm{sech}\left(b x +a \right)^{3} \sinh \left(b x +a \right)\, dx"," ",0,"int(x^m*sech(b*x+a)^3*sinh(b*x+a),x)","F"
349,1,121,75,0.233000," ","int(x^3*sech(b*x+a)^3*sinh(b*x+a),x)","-\frac{x^{2} \left(2 b x \,{\mathrm e}^{2 b x +2 a}+3 \,{\mathrm e}^{2 b x +2 a}+3\right)}{b^{2} \left(1+{\mathrm e}^{2 b x +2 a}\right)^{2}}+\frac{3 x^{2}}{b^{2}}+\frac{6 a x}{b^{3}}+\frac{3 a^{2}}{b^{4}}-\frac{3 x \ln \left(1+{\mathrm e}^{2 b x +2 a}\right)}{b^{3}}-\frac{3 \polylog \left(2, -{\mathrm e}^{2 b x +2 a}\right)}{2 b^{4}}-\frac{6 a \ln \left({\mathrm e}^{b x +a}\right)}{b^{4}}"," ",0,"-x^2*(2*b*x*exp(2*b*x+2*a)+3*exp(2*b*x+2*a)+3)/b^2/(1+exp(2*b*x+2*a))^2+3*x^2/b^2+6*a*x/b^3+3/b^4*a^2-3*x*ln(1+exp(2*b*x+2*a))/b^3-3/2*polylog(2,-exp(2*b*x+2*a))/b^4-6/b^4*a*ln(exp(b*x+a))","A"
350,1,73,40,0.154000," ","int(x^2*sech(b*x+a)^3*sinh(b*x+a),x)","\frac{2 x}{b^{2}}+\frac{2 a}{b^{3}}-\frac{2 x \left(b x \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}+1\right)}{b^{2} \left(1+{\mathrm e}^{2 b x +2 a}\right)^{2}}-\frac{\ln \left(1+{\mathrm e}^{2 b x +2 a}\right)}{b^{3}}"," ",0,"2*x/b^2+2/b^3*a-2*x*(b*x*exp(2*b*x+2*a)+exp(2*b*x+2*a)+1)/b^2/(1+exp(2*b*x+2*a))^2-1/b^3*ln(1+exp(2*b*x+2*a))","A"
351,1,43,26,0.155000," ","int(x*sech(b*x+a)^3*sinh(b*x+a),x)","-\frac{2 b x \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}+1}{b^{2} \left(1+{\mathrm e}^{2 b x +2 a}\right)^{2}}"," ",0,"-(2*b*x*exp(2*b*x+2*a)+exp(2*b*x+2*a)+1)/b^2/(1+exp(2*b*x+2*a))^2","A"
352,1,14,13,0.026000," ","int(sech(b*x+a)^3*sinh(b*x+a),x)","-\frac{\mathrm{sech}\left(b x +a \right)^{2}}{2 b}"," ",0,"-1/2*sech(b*x+a)^2/b","A"
353,0,0,20,0.373000," ","int(sech(b*x+a)^3*sinh(b*x+a)/x,x)","\int \frac{\mathrm{sech}\left(b x +a \right)^{3} \sinh \left(b x +a \right)}{x}\, dx"," ",0,"int(sech(b*x+a)^3*sinh(b*x+a)/x,x)","F"
354,0,0,20,0.374000," ","int(sech(b*x+a)^3*sinh(b*x+a)/x^2,x)","\int \frac{\mathrm{sech}\left(b x +a \right)^{3} \sinh \left(b x +a \right)}{x^{2}}\, dx"," ",0,"int(sech(b*x+a)^3*sinh(b*x+a)/x^2,x)","F"
355,0,0,67,0.318000," ","int(x^m*sech(b*x+a)*sinh(b*x+a)^2,x)","\int x^{m} \mathrm{sech}\left(b x +a \right) \left(\sinh^{2}\left(b x +a \right)\right)\, dx"," ",0,"int(x^m*sech(b*x+a)*sinh(b*x+a)^2,x)","F"
356,0,0,176,0.671000," ","int(x^3*sech(b*x+a)*sinh(b*x+a)^2,x)","\int x^{3} \mathrm{sech}\left(b x +a \right) \left(\sinh^{2}\left(b x +a \right)\right)\, dx"," ",0,"int(x^3*sech(b*x+a)*sinh(b*x+a)^2,x)","F"
357,0,0,122,0.744000," ","int(x^2*sech(b*x+a)*sinh(b*x+a)^2,x)","\int x^{2} \mathrm{sech}\left(b x +a \right) \left(\sinh^{2}\left(b x +a \right)\right)\, dx"," ",0,"int(x^2*sech(b*x+a)*sinh(b*x+a)^2,x)","F"
358,1,162,70,0.388000," ","int(x*sech(b*x+a)*sinh(b*x+a)^2,x)","\frac{\left(b x -1\right) {\mathrm e}^{b x +a}}{2 b^{2}}-\frac{\left(b x +1\right) {\mathrm e}^{-b x -a}}{2 b^{2}}+\frac{i \ln \left(1+i {\mathrm e}^{b x +a}\right) x}{b}+\frac{i \ln \left(1+i {\mathrm e}^{b x +a}\right) a}{b^{2}}-\frac{i \ln \left(1-i {\mathrm e}^{b x +a}\right) x}{b}-\frac{i \ln \left(1-i {\mathrm e}^{b x +a}\right) a}{b^{2}}+\frac{i \dilog \left(1+i {\mathrm e}^{b x +a}\right)}{b^{2}}-\frac{i \dilog \left(1-i {\mathrm e}^{b x +a}\right)}{b^{2}}+\frac{2 a \arctan \left({\mathrm e}^{b x +a}\right)}{b^{2}}"," ",0,"1/2*(b*x-1)/b^2*exp(b*x+a)-1/2*(b*x+1)/b^2*exp(-b*x-a)+I/b*ln(1+I*exp(b*x+a))*x+I/b^2*ln(1+I*exp(b*x+a))*a-I/b*ln(1-I*exp(b*x+a))*x-I/b^2*ln(1-I*exp(b*x+a))*a+I/b^2*dilog(1+I*exp(b*x+a))-I/b^2*dilog(1-I*exp(b*x+a))+2/b^2*a*arctan(exp(b*x+a))","B"
359,1,24,23,0.083000," ","int(sech(b*x+a)*sinh(b*x+a)^2,x)","\frac{\sinh \left(b x +a \right)}{b}-\frac{2 \arctan \left({\mathrm e}^{b x +a}\right)}{b}"," ",0,"sinh(b*x+a)/b-2*arctan(exp(b*x+a))/b","A"
360,0,0,29,0.516000," ","int(sech(b*x+a)*sinh(b*x+a)^2/x,x)","\int \frac{\mathrm{sech}\left(b x +a \right) \left(\sinh^{2}\left(b x +a \right)\right)}{x}\, dx"," ",0,"int(sech(b*x+a)*sinh(b*x+a)^2/x,x)","F"
361,0,0,42,0.520000," ","int(sech(b*x+a)*sinh(b*x+a)^2/x^2,x)","\int \frac{\mathrm{sech}\left(b x +a \right) \left(\sinh^{2}\left(b x +a \right)\right)}{x^{2}}\, dx"," ",0,"int(sech(b*x+a)*sinh(b*x+a)^2/x^2,x)","F"
362,0,0,14,0.284000," ","int(x^m*sech(b*x+a)^2*sinh(b*x+a)^2,x)","\int x^{m} \mathrm{sech}\left(b x +a \right)^{2} \left(\sinh^{2}\left(b x +a \right)\right)\, dx"," ",0,"int(x^m*sech(b*x+a)^2*sinh(b*x+a)^2,x)","F"
363,1,125,85,0.570000," ","int(x^3*sech(b*x+a)^2*sinh(b*x+a)^2,x)","\frac{x^{4}}{4}+\frac{2 x^{3}}{b \left(1+{\mathrm e}^{2 b x +2 a}\right)}-\frac{6 a^{2} \ln \left({\mathrm e}^{b x +a}\right)}{b^{4}}-\frac{2 x^{3}}{b}+\frac{6 a^{2} x}{b^{3}}+\frac{4 a^{3}}{b^{4}}+\frac{3 x^{2} \ln \left(1+{\mathrm e}^{2 b x +2 a}\right)}{b^{2}}+\frac{3 x \polylog \left(2, -{\mathrm e}^{2 b x +2 a}\right)}{b^{3}}-\frac{3 \polylog \left(3, -{\mathrm e}^{2 b x +2 a}\right)}{2 b^{4}}"," ",0,"1/4*x^4+2*x^3/b/(1+exp(2*b*x+2*a))-6/b^4*a^2*ln(exp(b*x+a))-2*x^3/b+6/b^3*a^2*x+4/b^4*a^3+3*x^2*ln(1+exp(2*b*x+2*a))/b^2+3*x*polylog(2,-exp(2*b*x+2*a))/b^3-3/2*polylog(3,-exp(2*b*x+2*a))/b^4","A"
364,1,99,63,0.569000," ","int(x^2*sech(b*x+a)^2*sinh(b*x+a)^2,x)","\frac{x^{3}}{3}+\frac{2 x^{2}}{b \left(1+{\mathrm e}^{2 b x +2 a}\right)}-\frac{2 x^{2}}{b}-\frac{4 a x}{b^{2}}-\frac{2 a^{2}}{b^{3}}+\frac{2 x \ln \left(1+{\mathrm e}^{2 b x +2 a}\right)}{b^{2}}+\frac{\polylog \left(2, -{\mathrm e}^{2 b x +2 a}\right)}{b^{3}}+\frac{4 a \ln \left({\mathrm e}^{b x +a}\right)}{b^{3}}"," ",0,"1/3*x^3+2*x^2/b/(1+exp(2*b*x+2*a))-2*x^2/b-4*a*x/b^2-2/b^3*a^2+2*x*ln(1+exp(2*b*x+2*a))/b^2+polylog(2,-exp(2*b*x+2*a))/b^3+4/b^3*a*ln(exp(b*x+a))","A"
365,1,54,29,0.501000," ","int(x*sech(b*x+a)^2*sinh(b*x+a)^2,x)","\frac{x^{2}}{2}-\frac{2 x}{b}-\frac{2 a}{b^{2}}+\frac{2 x}{b \left(1+{\mathrm e}^{2 b x +2 a}\right)}+\frac{\ln \left(1+{\mathrm e}^{2 b x +2 a}\right)}{b^{2}}"," ",0,"1/2*x^2-2*x/b-2*a/b^2+2*x/b/(1+exp(2*b*x+2*a))+1/b^2*ln(1+exp(2*b*x+2*a))","A"
366,1,18,13,0.112000," ","int(sech(b*x+a)^2*sinh(b*x+a)^2,x)","\frac{b x +a -\tanh \left(b x +a \right)}{b}"," ",0,"1/b*(b*x+a-tanh(b*x+a))","A"
367,0,0,14,0.589000," ","int(sech(b*x+a)^2*sinh(b*x+a)^2/x,x)","\int \frac{\mathrm{sech}\left(b x +a \right)^{2} \left(\sinh^{2}\left(b x +a \right)\right)}{x}\, dx"," ",0,"int(sech(b*x+a)^2*sinh(b*x+a)^2/x,x)","F"
368,0,0,14,0.584000," ","int(sech(b*x+a)^2*sinh(b*x+a)^2/x^2,x)","\int \frac{\mathrm{sech}\left(b x +a \right)^{2} \left(\sinh^{2}\left(b x +a \right)\right)}{x^{2}}\, dx"," ",0,"int(sech(b*x+a)^2*sinh(b*x+a)^2/x^2,x)","F"
369,0,0,29,0.302000," ","int(x^m*sech(b*x+a)^3*sinh(b*x+a)^2,x)","\int x^{m} \mathrm{sech}\left(b x +a \right)^{3} \left(\sinh^{2}\left(b x +a \right)\right)\, dx"," ",0,"int(x^m*sech(b*x+a)^3*sinh(b*x+a)^2,x)","F"
370,0,0,206,1.368000," ","int(x^3*sech(b*x+a)^3*sinh(b*x+a)^2,x)","\int x^{3} \mathrm{sech}\left(b x +a \right)^{3} \left(\sinh^{2}\left(b x +a \right)\right)\, dx"," ",0,"int(x^3*sech(b*x+a)^3*sinh(b*x+a)^2,x)","F"
371,0,0,128,1.195000," ","int(x^2*sech(b*x+a)^3*sinh(b*x+a)^2,x)","\int x^{2} \mathrm{sech}\left(b x +a \right)^{3} \left(\sinh^{2}\left(b x +a \right)\right)\, dx"," ",0,"int(x^2*sech(b*x+a)^3*sinh(b*x+a)^2,x)","F"
372,1,178,76,0.679000," ","int(x*sech(b*x+a)^3*sinh(b*x+a)^2,x)","-\frac{{\mathrm e}^{b x +a} \left(b x \,{\mathrm e}^{2 b x +2 a}-b x +{\mathrm e}^{2 b x +2 a}+1\right)}{b^{2} \left(1+{\mathrm e}^{2 b x +2 a}\right)^{2}}-\frac{i \ln \left(1+i {\mathrm e}^{b x +a}\right) x}{2 b}-\frac{i \ln \left(1+i {\mathrm e}^{b x +a}\right) a}{2 b^{2}}+\frac{i \ln \left(1-i {\mathrm e}^{b x +a}\right) x}{2 b}+\frac{i \ln \left(1-i {\mathrm e}^{b x +a}\right) a}{2 b^{2}}-\frac{i \dilog \left(1+i {\mathrm e}^{b x +a}\right)}{2 b^{2}}+\frac{i \dilog \left(1-i {\mathrm e}^{b x +a}\right)}{2 b^{2}}-\frac{a \arctan \left({\mathrm e}^{b x +a}\right)}{b^{2}}"," ",0,"-exp(b*x+a)*(b*x*exp(2*b*x+2*a)-b*x+exp(2*b*x+2*a)+1)/b^2/(1+exp(2*b*x+2*a))^2-1/2*I/b*ln(1+I*exp(b*x+a))*x-1/2*I/b^2*ln(1+I*exp(b*x+a))*a+1/2*I/b*ln(1-I*exp(b*x+a))*x+1/2*I/b^2*ln(1-I*exp(b*x+a))*a-1/2*I/b^2*dilog(1+I*exp(b*x+a))+1/2*I/b^2*dilog(1-I*exp(b*x+a))-1/b^2*a*arctan(exp(b*x+a))","B"
373,1,49,30,0.342000," ","int(sech(b*x+a)^3*sinh(b*x+a)^2,x)","-\frac{\sinh \left(b x +a \right)}{b \cosh \left(b x +a \right)^{2}}+\frac{\mathrm{sech}\left(b x +a \right) \tanh \left(b x +a \right)}{2 b}+\frac{\arctan \left({\mathrm e}^{b x +a}\right)}{b}"," ",0,"-1/b*sinh(b*x+a)/cosh(b*x+a)^2+1/2*sech(b*x+a)*tanh(b*x+a)/b+arctan(exp(b*x+a))/b","A"
374,0,0,29,0.884000," ","int(sech(b*x+a)^3*sinh(b*x+a)^2/x,x)","\int \frac{\mathrm{sech}\left(b x +a \right)^{3} \left(\sinh^{2}\left(b x +a \right)\right)}{x}\, dx"," ",0,"int(sech(b*x+a)^3*sinh(b*x+a)^2/x,x)","F"
375,0,0,29,0.926000," ","int(sech(b*x+a)^3*sinh(b*x+a)^2/x^2,x)","\int \frac{\mathrm{sech}\left(b x +a \right)^{3} \left(\sinh^{2}\left(b x +a \right)\right)}{x^{2}}\, dx"," ",0,"int(sech(b*x+a)^3*sinh(b*x+a)^2/x^2,x)","F"
376,0,0,84,0.431000," ","int(x^m*sech(b*x+a)*sinh(b*x+a)^3,x)","\int x^{m} \mathrm{sech}\left(b x +a \right) \left(\sinh^{3}\left(b x +a \right)\right)\, dx"," ",0,"int(x^m*sech(b*x+a)*sinh(b*x+a)^3,x)","F"
377,1,189,165,0.492000," ","int(x^3*sech(b*x+a)*sinh(b*x+a)^3,x)","\frac{x^{4}}{4}+\frac{\left(4 x^{3} b^{3}-6 x^{2} b^{2}+6 b x -3\right) {\mathrm e}^{2 b x +2 a}}{32 b^{4}}+\frac{\left(4 x^{3} b^{3}+6 x^{2} b^{2}+6 b x +3\right) {\mathrm e}^{-2 b x -2 a}}{32 b^{4}}+\frac{2 a^{3} x}{b^{3}}+\frac{3 a^{4}}{2 b^{4}}-\frac{x^{3} \ln \left(1+{\mathrm e}^{2 b x +2 a}\right)}{b}-\frac{3 x^{2} \polylog \left(2, -{\mathrm e}^{2 b x +2 a}\right)}{2 b^{2}}+\frac{3 x \polylog \left(3, -{\mathrm e}^{2 b x +2 a}\right)}{2 b^{3}}-\frac{3 \polylog \left(4, -{\mathrm e}^{2 b x +2 a}\right)}{4 b^{4}}-\frac{2 a^{3} \ln \left({\mathrm e}^{b x +a}\right)}{b^{4}}"," ",0,"1/4*x^4+1/32*(4*b^3*x^3-6*b^2*x^2+6*b*x-3)/b^4*exp(2*b*x+2*a)+1/32*(4*b^3*x^3+6*b^2*x^2+6*b*x+3)/b^4*exp(-2*b*x-2*a)+2/b^3*a^3*x+3/2/b^4*a^4-x^3*ln(1+exp(2*b*x+2*a))/b-3/2*x^2*polylog(2,-exp(2*b*x+2*a))/b^2+3/2*x*polylog(3,-exp(2*b*x+2*a))/b^3-3/4*polylog(4,-exp(2*b*x+2*a))/b^4-2/b^4*a^3*ln(exp(b*x+a))","A"
378,1,152,118,0.482000," ","int(x^2*sech(b*x+a)*sinh(b*x+a)^3,x)","\frac{x^{3}}{3}+\frac{\left(2 x^{2} b^{2}-2 b x +1\right) {\mathrm e}^{2 b x +2 a}}{16 b^{3}}+\frac{\left(2 x^{2} b^{2}+2 b x +1\right) {\mathrm e}^{-2 b x -2 a}}{16 b^{3}}+\frac{2 a^{2} \ln \left({\mathrm e}^{b x +a}\right)}{b^{3}}-\frac{2 a^{2} x}{b^{2}}-\frac{4 a^{3}}{3 b^{3}}-\frac{x^{2} \ln \left(1+{\mathrm e}^{2 b x +2 a}\right)}{b}-\frac{x \polylog \left(2, -{\mathrm e}^{2 b x +2 a}\right)}{b^{2}}+\frac{\polylog \left(3, -{\mathrm e}^{2 b x +2 a}\right)}{2 b^{3}}"," ",0,"1/3*x^3+1/16*(2*b^2*x^2-2*b*x+1)/b^3*exp(2*b*x+2*a)+1/16*(2*b^2*x^2+2*b*x+1)/b^3*exp(-2*b*x-2*a)+2/b^3*a^2*ln(exp(b*x+a))-2/b^2*a^2*x-4/3/b^3*a^3-x^2*ln(1+exp(2*b*x+2*a))/b-x*polylog(2,-exp(2*b*x+2*a))/b^2+1/2*polylog(3,-exp(2*b*x+2*a))/b^3","A"
379,1,110,79,0.473000," ","int(x*sech(b*x+a)*sinh(b*x+a)^3,x)","\frac{x^{2}}{2}+\frac{\left(2 b x -1\right) {\mathrm e}^{2 b x +2 a}}{16 b^{2}}+\frac{\left(2 b x +1\right) {\mathrm e}^{-2 b x -2 a}}{16 b^{2}}+\frac{2 a x}{b}+\frac{a^{2}}{b^{2}}-\frac{x \ln \left(1+{\mathrm e}^{2 b x +2 a}\right)}{b}-\frac{\polylog \left(2, -{\mathrm e}^{2 b x +2 a}\right)}{2 b^{2}}-\frac{2 a \ln \left({\mathrm e}^{b x +a}\right)}{b^{2}}"," ",0,"1/2*x^2+1/16*(2*b*x-1)/b^2*exp(2*b*x+2*a)+1/16*(2*b*x+1)/b^2*exp(-2*b*x-2*a)+2/b*a*x+a^2/b^2-x*ln(1+exp(2*b*x+2*a))/b-1/2*polylog(2,-exp(2*b*x+2*a))/b^2-2/b^2*a*ln(exp(b*x+a))","A"
380,1,27,26,0.116000," ","int(sech(b*x+a)*sinh(b*x+a)^3,x)","\frac{\sinh^{2}\left(b x +a \right)}{2 b}-\frac{\ln \left(\cosh \left(b x +a \right)\right)}{b}"," ",0,"1/2*sinh(b*x+a)^2/b-ln(cosh(b*x+a))/b","A"
381,0,0,37,0.603000," ","int(sech(b*x+a)*sinh(b*x+a)^3/x,x)","\int \frac{\mathrm{sech}\left(b x +a \right) \left(\sinh^{3}\left(b x +a \right)\right)}{x}\, dx"," ",0,"int(sech(b*x+a)*sinh(b*x+a)^3/x,x)","F"
382,0,0,51,0.603000," ","int(sech(b*x+a)*sinh(b*x+a)^3/x^2,x)","\int \frac{\mathrm{sech}\left(b x +a \right) \left(\sinh^{3}\left(b x +a \right)\right)}{x^{2}}\, dx"," ",0,"int(sech(b*x+a)*sinh(b*x+a)^3/x^2,x)","F"
383,0,0,73,0.420000," ","int(x^m*sech(b*x+a)^2*sinh(b*x+a)^3,x)","\int x^{m} \mathrm{sech}\left(b x +a \right)^{2} \left(\sinh^{3}\left(b x +a \right)\right)\, dx"," ",0,"int(x^m*sech(b*x+a)^2*sinh(b*x+a)^3,x)","F"
384,0,0,149,0.753000," ","int(x^3*sech(b*x+a)^2*sinh(b*x+a)^3,x)","\int x^{3} \mathrm{sech}\left(b x +a \right)^{2} \left(\sinh^{3}\left(b x +a \right)\right)\, dx"," ",0,"int(x^3*sech(b*x+a)^2*sinh(b*x+a)^3,x)","F"
385,1,205,97,0.485000," ","int(x^2*sech(b*x+a)^2*sinh(b*x+a)^3,x)","\frac{\left(x^{2} b^{2}-2 b x +2\right) {\mathrm e}^{b x +a}}{2 b^{3}}+\frac{\left(x^{2} b^{2}+2 b x +2\right) {\mathrm e}^{-b x -a}}{2 b^{3}}+\frac{2 x^{2} {\mathrm e}^{b x +a}}{b \left(1+{\mathrm e}^{2 b x +2 a}\right)}+\frac{2 i \ln \left(1+i {\mathrm e}^{b x +a}\right) x}{b^{2}}+\frac{2 i \ln \left(1+i {\mathrm e}^{b x +a}\right) a}{b^{3}}-\frac{2 i \ln \left(1-i {\mathrm e}^{b x +a}\right) x}{b^{2}}-\frac{2 i \ln \left(1-i {\mathrm e}^{b x +a}\right) a}{b^{3}}+\frac{2 i \dilog \left(1+i {\mathrm e}^{b x +a}\right)}{b^{3}}-\frac{2 i \dilog \left(1-i {\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{4 a \arctan \left({\mathrm e}^{b x +a}\right)}{b^{3}}"," ",0,"1/2*(b^2*x^2-2*b*x+2)/b^3*exp(b*x+a)+1/2*(b^2*x^2+2*b*x+2)/b^3*exp(-b*x-a)+2*x^2*exp(b*x+a)/b/(1+exp(2*b*x+2*a))+2*I/b^2*ln(1+I*exp(b*x+a))*x+2*I/b^3*ln(1+I*exp(b*x+a))*a-2*I/b^2*ln(1-I*exp(b*x+a))*x-2*I/b^3*ln(1-I*exp(b*x+a))*a+2*I/b^3*dilog(1+I*exp(b*x+a))-2*I/b^3*dilog(1-I*exp(b*x+a))+4/b^3*a*arctan(exp(b*x+a))","B"
386,1,94,46,0.402000," ","int(x*sech(b*x+a)^2*sinh(b*x+a)^3,x)","\frac{\left(b x -1\right) {\mathrm e}^{b x +a}}{2 b^{2}}+\frac{\left(b x +1\right) {\mathrm e}^{-b x -a}}{2 b^{2}}+\frac{2 x \,{\mathrm e}^{b x +a}}{b \left(1+{\mathrm e}^{2 b x +2 a}\right)}+\frac{i \ln \left({\mathrm e}^{b x +a}-i\right)}{b^{2}}-\frac{i \ln \left({\mathrm e}^{b x +a}+i\right)}{b^{2}}"," ",0,"1/2*(b*x-1)/b^2*exp(b*x+a)+1/2*(b*x+1)/b^2*exp(-b*x-a)+2*x*exp(b*x+a)/b/(1+exp(2*b*x+2*a))+I/b^2*ln(exp(b*x+a)-I)-I/b^2*ln(exp(b*x+a)+I)","C"
387,1,33,21,0.107000," ","int(sech(b*x+a)^2*sinh(b*x+a)^3,x)","\frac{\frac{\sinh^{2}\left(b x +a \right)}{\cosh \left(b x +a \right)}+\frac{2}{\cosh \left(b x +a \right)}}{b}"," ",0,"1/b*(sinh(b*x+a)^2/cosh(b*x+a)+2/cosh(b*x+a))","A"
388,0,0,35,0.669000," ","int(sech(b*x+a)^2*sinh(b*x+a)^3/x,x)","\int \frac{\mathrm{sech}\left(b x +a \right)^{2} \left(\sinh^{3}\left(b x +a \right)\right)}{x}\, dx"," ",0,"int(sech(b*x+a)^2*sinh(b*x+a)^3/x,x)","F"
389,0,0,48,0.609000," ","int(sech(b*x+a)^2*sinh(b*x+a)^3/x^2,x)","\int \frac{\mathrm{sech}\left(b x +a \right)^{2} \left(\sinh^{3}\left(b x +a \right)\right)}{x^{2}}\, dx"," ",0,"int(sech(b*x+a)^2*sinh(b*x+a)^3/x^2,x)","F"
390,0,0,14,0.480000," ","int(x^m*sech(b*x+a)^3*sinh(b*x+a)^3,x)","\int x^{m} \mathrm{sech}\left(b x +a \right)^{3} \left(\sinh^{3}\left(b x +a \right)\right)\, dx"," ",0,"int(x^m*sech(b*x+a)^3*sinh(b*x+a)^3,x)","F"
391,1,234,165,0.624000," ","int(x^3*sech(b*x+a)^3*sinh(b*x+a)^3,x)","-\frac{x^{4}}{4}+\frac{x^{2} \left(2 b x \,{\mathrm e}^{2 b x +2 a}+3 \,{\mathrm e}^{2 b x +2 a}+3\right)}{b^{2} \left(1+{\mathrm e}^{2 b x +2 a}\right)^{2}}-\frac{3 x^{2}}{b^{2}}-\frac{3 a^{2}}{b^{4}}-\frac{3 a^{4}}{2 b^{4}}+\frac{3 x \ln \left(1+{\mathrm e}^{2 b x +2 a}\right)}{b^{3}}-\frac{3 x \polylog \left(3, -{\mathrm e}^{2 b x +2 a}\right)}{2 b^{3}}+\frac{x^{3} \ln \left(1+{\mathrm e}^{2 b x +2 a}\right)}{b}+\frac{3 x^{2} \polylog \left(2, -{\mathrm e}^{2 b x +2 a}\right)}{2 b^{2}}-\frac{2 a^{3} x}{b^{3}}-\frac{6 a x}{b^{3}}+\frac{3 \polylog \left(4, -{\mathrm e}^{2 b x +2 a}\right)}{4 b^{4}}+\frac{3 \polylog \left(2, -{\mathrm e}^{2 b x +2 a}\right)}{2 b^{4}}+\frac{6 a \ln \left({\mathrm e}^{b x +a}\right)}{b^{4}}+\frac{2 a^{3} \ln \left({\mathrm e}^{b x +a}\right)}{b^{4}}"," ",0,"-1/4*x^4+x^2*(2*b*x*exp(2*b*x+2*a)+3*exp(2*b*x+2*a)+3)/b^2/(1+exp(2*b*x+2*a))^2-3*x^2/b^2-3/b^4*a^2-3/2/b^4*a^4+3*x*ln(1+exp(2*b*x+2*a))/b^3-3/2*x*polylog(3,-exp(2*b*x+2*a))/b^3+x^3*ln(1+exp(2*b*x+2*a))/b+3/2*x^2*polylog(2,-exp(2*b*x+2*a))/b^2-2/b^3*a^3*x-6*a*x/b^3+3/4*polylog(4,-exp(2*b*x+2*a))/b^4+3/2*polylog(2,-exp(2*b*x+2*a))/b^4+6/b^4*a*ln(exp(b*x+a))+2/b^4*a^3*ln(exp(b*x+a))","A"
392,1,164,108,0.614000," ","int(x^2*sech(b*x+a)^3*sinh(b*x+a)^3,x)","-\frac{x^{3}}{3}+\frac{2 x \left(b x \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}+1\right)}{b^{2} \left(1+{\mathrm e}^{2 b x +2 a}\right)^{2}}-\frac{2 \ln \left({\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{\ln \left(1+{\mathrm e}^{2 b x +2 a}\right)}{b^{3}}-\frac{2 a^{2} \ln \left({\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{2 a^{2} x}{b^{2}}+\frac{4 a^{3}}{3 b^{3}}+\frac{x^{2} \ln \left(1+{\mathrm e}^{2 b x +2 a}\right)}{b}+\frac{x \polylog \left(2, -{\mathrm e}^{2 b x +2 a}\right)}{b^{2}}-\frac{\polylog \left(3, -{\mathrm e}^{2 b x +2 a}\right)}{2 b^{3}}"," ",0,"-1/3*x^3+2*x*(b*x*exp(2*b*x+2*a)+exp(2*b*x+2*a)+1)/b^2/(1+exp(2*b*x+2*a))^2-2/b^3*ln(exp(b*x+a))+1/b^3*ln(1+exp(2*b*x+2*a))-2/b^3*a^2*ln(exp(b*x+a))+2/b^2*a^2*x+4/3/b^3*a^3+x^2*ln(1+exp(2*b*x+2*a))/b+x*polylog(2,-exp(2*b*x+2*a))/b^2-1/2*polylog(3,-exp(2*b*x+2*a))/b^3","A"
393,1,111,72,0.520000," ","int(x*sech(b*x+a)^3*sinh(b*x+a)^3,x)","-\frac{x^{2}}{2}+\frac{2 b x \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}+1}{b^{2} \left(1+{\mathrm e}^{2 b x +2 a}\right)^{2}}-\frac{2 a x}{b}-\frac{a^{2}}{b^{2}}+\frac{x \ln \left(1+{\mathrm e}^{2 b x +2 a}\right)}{b}+\frac{\polylog \left(2, -{\mathrm e}^{2 b x +2 a}\right)}{2 b^{2}}+\frac{2 a \ln \left({\mathrm e}^{b x +a}\right)}{b^{2}}"," ",0,"-1/2*x^2+(2*b*x*exp(2*b*x+2*a)+exp(2*b*x+2*a)+1)/b^2/(1+exp(2*b*x+2*a))^2-2/b*a*x-a^2/b^2+x*ln(1+exp(2*b*x+2*a))/b+1/2*polylog(2,-exp(2*b*x+2*a))/b^2+2/b^2*a*ln(exp(b*x+a))","A"
394,1,26,25,0.131000," ","int(sech(b*x+a)^3*sinh(b*x+a)^3,x)","\frac{\ln \left(\cosh \left(b x +a \right)\right)}{b}-\frac{\tanh^{2}\left(b x +a \right)}{2 b}"," ",0,"ln(cosh(b*x+a))/b-1/2*tanh(b*x+a)^2/b","A"
395,0,0,14,1.306000," ","int(sech(b*x+a)^3*sinh(b*x+a)^3/x,x)","\int \frac{\mathrm{sech}\left(b x +a \right)^{3} \left(\sinh^{3}\left(b x +a \right)\right)}{x}\, dx"," ",0,"int(sech(b*x+a)^3*sinh(b*x+a)^3/x,x)","F"
396,0,0,14,1.415000," ","int(sech(b*x+a)^3*sinh(b*x+a)^3/x^2,x)","\int \frac{\mathrm{sech}\left(b x +a \right)^{3} \left(\sinh^{3}\left(b x +a \right)\right)}{x^{2}}\, dx"," ",0,"int(sech(b*x+a)^3*sinh(b*x+a)^3/x^2,x)","F"
397,0,0,12,0.211000," ","int(x^m*cosh(b*x+a)*csch(b*x+a),x)","\int x^{m} \cosh \left(b x +a \right) \mathrm{csch}\left(b x +a \right)\, dx"," ",0,"int(x^m*cosh(b*x+a)*csch(b*x+a),x)","F"
398,1,200,79,0.283000," ","int(x^3*cosh(b*x+a)*csch(b*x+a),x)","-\frac{x^{4}}{4}-\frac{6 x \polylog \left(3, {\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{\ln \left(1+{\mathrm e}^{b x +a}\right) x^{3}}{b}+\frac{3 x^{2} \polylog \left(2, -{\mathrm e}^{b x +a}\right)}{b^{2}}-\frac{6 x \polylog \left(3, -{\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) x^{3}}{b}+\frac{3 x^{2} \polylog \left(2, {\mathrm e}^{b x +a}\right)}{b^{2}}-\frac{2 a^{3} x}{b^{3}}+\frac{6 \polylog \left(4, -{\mathrm e}^{b x +a}\right)}{b^{4}}+\frac{6 \polylog \left(4, {\mathrm e}^{b x +a}\right)}{b^{4}}-\frac{3 a^{4}}{2 b^{4}}+\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) a^{3}}{b^{4}}-\frac{a^{3} \ln \left({\mathrm e}^{b x +a}-1\right)}{b^{4}}+\frac{2 a^{3} \ln \left({\mathrm e}^{b x +a}\right)}{b^{4}}"," ",0,"-1/4*x^4-6*x*polylog(3,exp(b*x+a))/b^3+1/b*ln(1+exp(b*x+a))*x^3+3*x^2*polylog(2,-exp(b*x+a))/b^2-6*x*polylog(3,-exp(b*x+a))/b^3+1/b*ln(1-exp(b*x+a))*x^3+3*x^2*polylog(2,exp(b*x+a))/b^2-2/b^3*a^3*x+6*polylog(4,-exp(b*x+a))/b^4+6*polylog(4,exp(b*x+a))/b^4-3/2/b^4*a^4+1/b^4*ln(1-exp(b*x+a))*a^3-1/b^4*a^3*ln(exp(b*x+a)-1)+2/b^4*a^3*ln(exp(b*x+a))","B"
399,1,166,59,0.272000," ","int(x^2*cosh(b*x+a)*csch(b*x+a),x)","-\frac{x^{3}}{3}+\frac{a^{2} \ln \left({\mathrm e}^{b x +a}-1\right)}{b^{3}}-\frac{2 a^{2} \ln \left({\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{2 a^{2} x}{b^{2}}+\frac{4 a^{3}}{3 b^{3}}+\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) x^{2}}{b}-\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) a^{2}}{b^{3}}+\frac{2 \polylog \left(2, {\mathrm e}^{b x +a}\right) x}{b^{2}}-\frac{2 \polylog \left(3, {\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{\ln \left(1+{\mathrm e}^{b x +a}\right) x^{2}}{b}+\frac{2 \polylog \left(2, -{\mathrm e}^{b x +a}\right) x}{b^{2}}-\frac{2 \polylog \left(3, -{\mathrm e}^{b x +a}\right)}{b^{3}}"," ",0,"-1/3*x^3+1/b^3*a^2*ln(exp(b*x+a)-1)-2/b^3*a^2*ln(exp(b*x+a))+2/b^2*a^2*x+4/3/b^3*a^3+1/b*ln(1-exp(b*x+a))*x^2-1/b^3*ln(1-exp(b*x+a))*a^2+2/b^2*polylog(2,exp(b*x+a))*x-2/b^3*polylog(3,exp(b*x+a))+1/b*ln(1+exp(b*x+a))*x^2+2/b^2*polylog(2,-exp(b*x+a))*x-2/b^3*polylog(3,-exp(b*x+a))","B"
400,1,122,41,0.264000," ","int(x*cosh(b*x+a)*csch(b*x+a),x)","-\frac{x^{2}}{2}-\frac{2 a x}{b}-\frac{a^{2}}{b^{2}}+\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) x}{b}+\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) a}{b^{2}}+\frac{\polylog \left(2, {\mathrm e}^{b x +a}\right)}{b^{2}}+\frac{\ln \left(1+{\mathrm e}^{b x +a}\right) x}{b}+\frac{\polylog \left(2, -{\mathrm e}^{b x +a}\right)}{b^{2}}+\frac{2 a \ln \left({\mathrm e}^{b x +a}\right)}{b^{2}}-\frac{a \ln \left({\mathrm e}^{b x +a}-1\right)}{b^{2}}"," ",0,"-1/2*x^2-2/b*a*x-a^2/b^2+1/b*ln(1-exp(b*x+a))*x+1/b^2*ln(1-exp(b*x+a))*a+polylog(2,exp(b*x+a))/b^2+1/b*ln(1+exp(b*x+a))*x+polylog(2,-exp(b*x+a))/b^2+2/b^2*a*ln(exp(b*x+a))-1/b^2*a*ln(exp(b*x+a)-1)","B"
401,1,13,11,0.025000," ","int(cosh(b*x+a)*csch(b*x+a),x)","-\frac{\ln \left(\mathrm{csch}\left(b x +a \right)\right)}{b}"," ",0,"-1/b*ln(csch(b*x+a))","A"
402,0,0,12,0.403000," ","int(cosh(b*x+a)*csch(b*x+a)/x,x)","\int \frac{\cosh \left(b x +a \right) \mathrm{csch}\left(b x +a \right)}{x}\, dx"," ",0,"int(cosh(b*x+a)*csch(b*x+a)/x,x)","F"
403,0,0,12,0.464000," ","int(cosh(b*x+a)*csch(b*x+a)/x^2,x)","\int \frac{\cosh \left(b x +a \right) \mathrm{csch}\left(b x +a \right)}{x^{2}}\, dx"," ",0,"int(cosh(b*x+a)*csch(b*x+a)/x^2,x)","F"
404,0,0,65,0.431000," ","int(x^m*cosh(b*x+a)^2*csch(b*x+a),x)","\int x^{m} \left(\cosh^{2}\left(b x +a \right)\right) \mathrm{csch}\left(b x +a \right)\, dx"," ",0,"int(x^m*cosh(b*x+a)^2*csch(b*x+a),x)","F"
405,1,246,158,0.533000," ","int(x^3*cosh(b*x+a)^2*csch(b*x+a),x)","\frac{\left(x^{3} b^{3}-3 x^{2} b^{2}+6 b x -6\right) {\mathrm e}^{b x +a}}{2 b^{4}}+\frac{\left(x^{3} b^{3}+3 x^{2} b^{2}+6 b x +6\right) {\mathrm e}^{-b x -a}}{2 b^{4}}-\frac{\ln \left(1+{\mathrm e}^{b x +a}\right) x^{3}}{b}-\frac{3 x^{2} \polylog \left(2, -{\mathrm e}^{b x +a}\right)}{b^{2}}+\frac{6 x \polylog \left(3, -{\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) x^{3}}{b}+\frac{3 x^{2} \polylog \left(2, {\mathrm e}^{b x +a}\right)}{b^{2}}-\frac{6 x \polylog \left(3, {\mathrm e}^{b x +a}\right)}{b^{3}}-\frac{6 \polylog \left(4, -{\mathrm e}^{b x +a}\right)}{b^{4}}+\frac{6 \polylog \left(4, {\mathrm e}^{b x +a}\right)}{b^{4}}-\frac{\ln \left(1+{\mathrm e}^{b x +a}\right) a^{3}}{b^{4}}+\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) a^{3}}{b^{4}}+\frac{2 a^{3} \arctanh \left({\mathrm e}^{b x +a}\right)}{b^{4}}"," ",0,"1/2*(b^3*x^3-3*b^2*x^2+6*b*x-6)/b^4*exp(b*x+a)+1/2*(b^3*x^3+3*b^2*x^2+6*b*x+6)/b^4*exp(-b*x-a)-1/b*ln(1+exp(b*x+a))*x^3-3*x^2*polylog(2,-exp(b*x+a))/b^2+6*x*polylog(3,-exp(b*x+a))/b^3+1/b*ln(1-exp(b*x+a))*x^3+3*x^2*polylog(2,exp(b*x+a))/b^2-6*x*polylog(3,exp(b*x+a))/b^3-6*polylog(4,-exp(b*x+a))/b^4+6*polylog(4,exp(b*x+a))/b^4-1/b^4*ln(1+exp(b*x+a))*a^3+1/b^4*ln(1-exp(b*x+a))*a^3+2/b^4*a^3*arctanh(exp(b*x+a))","A"
406,1,196,110,0.507000," ","int(x^2*cosh(b*x+a)^2*csch(b*x+a),x)","\frac{\left(x^{2} b^{2}-2 b x +2\right) {\mathrm e}^{b x +a}}{2 b^{3}}+\frac{\left(x^{2} b^{2}+2 b x +2\right) {\mathrm e}^{-b x -a}}{2 b^{3}}-\frac{2 a^{2} \arctanh \left({\mathrm e}^{b x +a}\right)}{b^{3}}-\frac{\ln \left(1+{\mathrm e}^{b x +a}\right) x^{2}}{b}+\frac{\ln \left(1+{\mathrm e}^{b x +a}\right) a^{2}}{b^{3}}-\frac{2 \polylog \left(2, -{\mathrm e}^{b x +a}\right) x}{b^{2}}+\frac{2 \polylog \left(3, -{\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) x^{2}}{b}-\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) a^{2}}{b^{3}}+\frac{2 \polylog \left(2, {\mathrm e}^{b x +a}\right) x}{b^{2}}-\frac{2 \polylog \left(3, {\mathrm e}^{b x +a}\right)}{b^{3}}"," ",0,"1/2*(b^2*x^2-2*b*x+2)/b^3*exp(b*x+a)+1/2*(b^2*x^2+2*b*x+2)/b^3*exp(-b*x-a)-2/b^3*a^2*arctanh(exp(b*x+a))-1/b*ln(1+exp(b*x+a))*x^2+1/b^3*ln(1+exp(b*x+a))*a^2-2/b^2*polylog(2,-exp(b*x+a))*x+2/b^3*polylog(3,-exp(b*x+a))+1/b*ln(1-exp(b*x+a))*x^2-1/b^3*ln(1-exp(b*x+a))*a^2+2/b^2*polylog(2,exp(b*x+a))*x-2/b^3*polylog(3,exp(b*x+a))","A"
407,1,139,63,0.519000," ","int(x*cosh(b*x+a)^2*csch(b*x+a),x)","\frac{\left(b x -1\right) {\mathrm e}^{b x +a}}{2 b^{2}}+\frac{\left(b x +1\right) {\mathrm e}^{-b x -a}}{2 b^{2}}-\frac{\ln \left(1+{\mathrm e}^{b x +a}\right) x}{b}-\frac{\ln \left(1+{\mathrm e}^{b x +a}\right) a}{b^{2}}-\frac{\polylog \left(2, -{\mathrm e}^{b x +a}\right)}{b^{2}}+\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) x}{b}+\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) a}{b^{2}}+\frac{\polylog \left(2, {\mathrm e}^{b x +a}\right)}{b^{2}}+\frac{2 a \arctanh \left({\mathrm e}^{b x +a}\right)}{b^{2}}"," ",0,"1/2*(b*x-1)/b^2*exp(b*x+a)+1/2*(b*x+1)/b^2*exp(-b*x-a)-1/b*ln(1+exp(b*x+a))*x-1/b^2*ln(1+exp(b*x+a))*a-polylog(2,-exp(b*x+a))/b^2+1/b*ln(1-exp(b*x+a))*x+1/b^2*ln(1-exp(b*x+a))*a+polylog(2,exp(b*x+a))/b^2+2/b^2*a*arctanh(exp(b*x+a))","B"
408,1,21,23,0.112000," ","int(cosh(b*x+a)^2*csch(b*x+a),x)","\frac{\cosh \left(b x +a \right)-2 \arctanh \left({\mathrm e}^{b x +a}\right)}{b}"," ",0,"1/b*(cosh(b*x+a)-2*arctanh(exp(b*x+a)))","A"
409,0,0,27,0.574000," ","int(cosh(b*x+a)^2*csch(b*x+a)/x,x)","\int \frac{\left(\cosh^{2}\left(b x +a \right)\right) \mathrm{csch}\left(b x +a \right)}{x}\, dx"," ",0,"int(cosh(b*x+a)^2*csch(b*x+a)/x,x)","F"
410,0,0,40,0.587000," ","int(cosh(b*x+a)^2*csch(b*x+a)/x^2,x)","\int \frac{\left(\cosh^{2}\left(b x +a \right)\right) \mathrm{csch}\left(b x +a \right)}{x^{2}}\, dx"," ",0,"int(cosh(b*x+a)^2*csch(b*x+a)/x^2,x)","F"
411,0,0,82,0.495000," ","int(x^m*cosh(b*x+a)^3*csch(b*x+a),x)","\int x^{m} \left(\cosh^{3}\left(b x +a \right)\right) \mathrm{csch}\left(b x +a \right)\, dx"," ",0,"int(x^m*cosh(b*x+a)^3*csch(b*x+a),x)","F"
412,1,272,160,0.603000," ","int(x^3*cosh(b*x+a)^3*csch(b*x+a),x)","-\frac{x^{4}}{4}+\frac{\left(4 x^{3} b^{3}-6 x^{2} b^{2}+6 b x -3\right) {\mathrm e}^{2 b x +2 a}}{32 b^{4}}+\frac{\left(4 x^{3} b^{3}+6 x^{2} b^{2}+6 b x +3\right) {\mathrm e}^{-2 b x -2 a}}{32 b^{4}}+\frac{6 \polylog \left(4, {\mathrm e}^{b x +a}\right)}{b^{4}}-\frac{2 a^{3} x}{b^{3}}+\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) x^{3}}{b}+\frac{3 x^{2} \polylog \left(2, {\mathrm e}^{b x +a}\right)}{b^{2}}-\frac{6 x \polylog \left(3, {\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{\ln \left(1+{\mathrm e}^{b x +a}\right) x^{3}}{b}+\frac{3 x^{2} \polylog \left(2, -{\mathrm e}^{b x +a}\right)}{b^{2}}-\frac{6 x \polylog \left(3, -{\mathrm e}^{b x +a}\right)}{b^{3}}-\frac{3 a^{4}}{2 b^{4}}+\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) a^{3}}{b^{4}}+\frac{6 \polylog \left(4, -{\mathrm e}^{b x +a}\right)}{b^{4}}-\frac{a^{3} \ln \left({\mathrm e}^{b x +a}-1\right)}{b^{4}}+\frac{2 a^{3} \ln \left({\mathrm e}^{b x +a}\right)}{b^{4}}"," ",0,"-1/4*x^4+1/32*(4*b^3*x^3-6*b^2*x^2+6*b*x-3)/b^4*exp(2*b*x+2*a)+1/32*(4*b^3*x^3+6*b^2*x^2+6*b*x+3)/b^4*exp(-2*b*x-2*a)+6*polylog(4,exp(b*x+a))/b^4-2/b^3*a^3*x+1/b*ln(1-exp(b*x+a))*x^3+3*x^2*polylog(2,exp(b*x+a))/b^2-6*x*polylog(3,exp(b*x+a))/b^3+1/b*ln(1+exp(b*x+a))*x^3+3*x^2*polylog(2,-exp(b*x+a))/b^2-6*x*polylog(3,-exp(b*x+a))/b^3-3/2/b^4*a^4+1/b^4*ln(1-exp(b*x+a))*a^3+6*polylog(4,-exp(b*x+a))/b^4-1/b^4*a^3*ln(exp(b*x+a)-1)+2/b^4*a^3*ln(exp(b*x+a))","A"
413,1,222,114,0.615000," ","int(x^2*cosh(b*x+a)^3*csch(b*x+a),x)","-\frac{x^{3}}{3}+\frac{\left(2 x^{2} b^{2}-2 b x +1\right) {\mathrm e}^{2 b x +2 a}}{16 b^{3}}+\frac{\left(2 x^{2} b^{2}+2 b x +1\right) {\mathrm e}^{-2 b x -2 a}}{16 b^{3}}+\frac{a^{2} \ln \left({\mathrm e}^{b x +a}-1\right)}{b^{3}}-\frac{2 a^{2} \ln \left({\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{2 a^{2} x}{b^{2}}+\frac{4 a^{3}}{3 b^{3}}+\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) x^{2}}{b}-\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) a^{2}}{b^{3}}+\frac{2 \polylog \left(2, {\mathrm e}^{b x +a}\right) x}{b^{2}}-\frac{2 \polylog \left(3, {\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{\ln \left(1+{\mathrm e}^{b x +a}\right) x^{2}}{b}+\frac{2 \polylog \left(2, -{\mathrm e}^{b x +a}\right) x}{b^{2}}-\frac{2 \polylog \left(3, -{\mathrm e}^{b x +a}\right)}{b^{3}}"," ",0,"-1/3*x^3+1/16*(2*b^2*x^2-2*b*x+1)/b^3*exp(2*b*x+2*a)+1/16*(2*b^2*x^2+2*b*x+1)/b^3*exp(-2*b*x-2*a)+1/b^3*a^2*ln(exp(b*x+a)-1)-2/b^3*a^2*ln(exp(b*x+a))+2/b^2*a^2*x+4/3/b^3*a^3+1/b*ln(1-exp(b*x+a))*x^2-1/b^3*ln(1-exp(b*x+a))*a^2+2/b^2*polylog(2,exp(b*x+a))*x-2/b^3*polylog(3,exp(b*x+a))+1/b*ln(1+exp(b*x+a))*x^2+2/b^2*polylog(2,-exp(b*x+a))*x-2/b^3*polylog(3,-exp(b*x+a))","A"
414,1,162,78,0.609000," ","int(x*cosh(b*x+a)^3*csch(b*x+a),x)","-\frac{x^{2}}{2}+\frac{\left(2 b x -1\right) {\mathrm e}^{2 b x +2 a}}{16 b^{2}}+\frac{\left(2 b x +1\right) {\mathrm e}^{-2 b x -2 a}}{16 b^{2}}-\frac{2 a x}{b}-\frac{a^{2}}{b^{2}}+\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) x}{b}+\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) a}{b^{2}}+\frac{\polylog \left(2, {\mathrm e}^{b x +a}\right)}{b^{2}}+\frac{\ln \left(1+{\mathrm e}^{b x +a}\right) x}{b}+\frac{\polylog \left(2, -{\mathrm e}^{b x +a}\right)}{b^{2}}+\frac{2 a \ln \left({\mathrm e}^{b x +a}\right)}{b^{2}}-\frac{a \ln \left({\mathrm e}^{b x +a}-1\right)}{b^{2}}"," ",0,"-1/2*x^2+1/16*(2*b*x-1)/b^2*exp(2*b*x+2*a)+1/16*(2*b*x+1)/b^2*exp(-2*b*x-2*a)-2/b*a*x-a^2/b^2+1/b*ln(1-exp(b*x+a))*x+1/b^2*ln(1-exp(b*x+a))*a+polylog(2,exp(b*x+a))/b^2+1/b*ln(1+exp(b*x+a))*x+polylog(2,-exp(b*x+a))/b^2+2/b^2*a*ln(exp(b*x+a))-1/b^2*a*ln(exp(b*x+a)-1)","B"
415,1,26,25,0.116000," ","int(cosh(b*x+a)^3*csch(b*x+a),x)","\frac{\cosh^{2}\left(b x +a \right)}{2 b}+\frac{\ln \left(\sinh \left(b x +a \right)\right)}{b}"," ",0,"1/2*cosh(b*x+a)^2/b+ln(sinh(b*x+a))/b","A"
416,0,0,35,0.742000," ","int(cosh(b*x+a)^3*csch(b*x+a)/x,x)","\int \frac{\left(\cosh^{3}\left(b x +a \right)\right) \mathrm{csch}\left(b x +a \right)}{x}\, dx"," ",0,"int(cosh(b*x+a)^3*csch(b*x+a)/x,x)","F"
417,0,0,49,0.719000," ","int(cosh(b*x+a)^3*csch(b*x+a)/x^2,x)","\int \frac{\left(\cosh^{3}\left(b x +a \right)\right) \mathrm{csch}\left(b x +a \right)}{x^{2}}\, dx"," ",0,"int(cosh(b*x+a)^3*csch(b*x+a)/x^2,x)","F"
418,1,48,27,0.210000," ","int(x*cosh(x)^2*coth(x)^2,x)","\frac{3 x^{2}}{4}+\left(-\frac{1}{16}+\frac{x}{8}\right) {\mathrm e}^{2 x}+\left(-\frac{1}{16}-\frac{x}{8}\right) {\mathrm e}^{-2 x}-2 x -\frac{2 x}{{\mathrm e}^{2 x}-1}+\ln \left({\mathrm e}^{2 x}-1\right)"," ",0,"3/4*x^2+(-1/16+1/8*x)*exp(2*x)+(-1/16-1/8*x)*exp(-2*x)-2*x-2*x/(exp(2*x)-1)+ln(exp(2*x)-1)","A"
419,1,87,61,0.236000," ","int(x^2*cosh(x)^2*coth(x)^2,x)","\frac{x^{3}}{2}+\left(\frac{1}{16}-\frac{1}{8} x +\frac{1}{8} x^{2}\right) {\mathrm e}^{2 x}+\left(-\frac{1}{16}-\frac{1}{8} x -\frac{1}{8} x^{2}\right) {\mathrm e}^{-2 x}-\frac{2 x^{2}}{{\mathrm e}^{2 x}-1}-2 x^{2}+2 x \ln \left({\mathrm e}^{x}+1\right)+2 \polylog \left(2, -{\mathrm e}^{x}\right)+2 x \ln \left(1-{\mathrm e}^{x}\right)+2 \polylog \left(2, {\mathrm e}^{x}\right)"," ",0,"1/2*x^3+(1/16-1/8*x+1/8*x^2)*exp(2*x)+(-1/16-1/8*x-1/8*x^2)*exp(-2*x)-2*x^2/(exp(2*x)-1)-2*x^2+2*x*ln(exp(x)+1)+2*polylog(2,-exp(x))+2*x*ln(1-exp(x))+2*polylog(2,exp(x))","A"
420,1,117,85,0.215000," ","int(x^3*cosh(x)^2*coth(x)^2,x)","\frac{3 x^{4}}{8}+\left(-\frac{3}{32}+\frac{3}{16} x -\frac{3}{16} x^{2}+\frac{1}{8} x^{3}\right) {\mathrm e}^{2 x}+\left(-\frac{3}{32}-\frac{3}{16} x -\frac{3}{16} x^{2}-\frac{1}{8} x^{3}\right) {\mathrm e}^{-2 x}-\frac{2 x^{3}}{{\mathrm e}^{2 x}-1}-2 x^{3}+3 x^{2} \ln \left({\mathrm e}^{x}+1\right)+6 x \polylog \left(2, -{\mathrm e}^{x}\right)-6 \polylog \left(3, -{\mathrm e}^{x}\right)+3 x^{2} \ln \left(1-{\mathrm e}^{x}\right)+6 x \polylog \left(2, {\mathrm e}^{x}\right)-6 \polylog \left(3, {\mathrm e}^{x}\right)"," ",0,"3/8*x^4+(-3/32+3/16*x-3/16*x^2+1/8*x^3)*exp(2*x)+(-3/32-3/16*x-3/16*x^2-1/8*x^3)*exp(-2*x)-2*x^3/(exp(2*x)-1)-2*x^3+3*x^2*ln(exp(x)+1)+6*x*polylog(2,-exp(x))-6*polylog(3,-exp(x))+3*x^2*ln(1-exp(x))+6*x*polylog(2,exp(x))-6*polylog(3,exp(x))","A"
421,1,82,51,0.298000," ","int(x*cosh(x)^2*coth(x)^3,x)","-x^{2}+\left(-\frac{1}{16}+\frac{x}{8}\right) {\mathrm e}^{2 x}+\left(\frac{1}{16}+\frac{x}{8}\right) {\mathrm e}^{-2 x}-\frac{2 x \,{\mathrm e}^{2 x}+{\mathrm e}^{2 x}-1}{\left({\mathrm e}^{2 x}-1\right)^{2}}+2 x \ln \left({\mathrm e}^{x}+1\right)+2 \polylog \left(2, -{\mathrm e}^{x}\right)+2 x \ln \left(1-{\mathrm e}^{x}\right)+2 \polylog \left(2, {\mathrm e}^{x}\right)"," ",0,"-x^2+(-1/16+1/8*x)*exp(2*x)+(1/16+1/8*x)*exp(-2*x)-(2*x*exp(2*x)+exp(2*x)-1)/(exp(2*x)-1)^2+2*x*ln(exp(x)+1)+2*polylog(2,-exp(x))+2*x*ln(1-exp(x))+2*polylog(2,exp(x))","A"
422,1,127,81,0.322000," ","int(x^2*cosh(x)^2*coth(x)^3,x)","-\frac{2 x^{3}}{3}+\left(\frac{1}{16}-\frac{1}{8} x +\frac{1}{8} x^{2}\right) {\mathrm e}^{2 x}+\left(\frac{1}{16}+\frac{1}{8} x +\frac{1}{8} x^{2}\right) {\mathrm e}^{-2 x}-\frac{2 x \left(x \,{\mathrm e}^{2 x}+{\mathrm e}^{2 x}-1\right)}{\left({\mathrm e}^{2 x}-1\right)^{2}}+\ln \left({\mathrm e}^{x}-1\right)+\ln \left({\mathrm e}^{x}+1\right)-2 \ln \left({\mathrm e}^{x}\right)+2 x^{2} \ln \left({\mathrm e}^{x}+1\right)+4 x \polylog \left(2, -{\mathrm e}^{x}\right)-4 \polylog \left(3, -{\mathrm e}^{x}\right)+2 x^{2} \ln \left(1-{\mathrm e}^{x}\right)+4 x \polylog \left(2, {\mathrm e}^{x}\right)-4 \polylog \left(3, {\mathrm e}^{x}\right)"," ",0,"-2/3*x^3+(1/16-1/8*x+1/8*x^2)*exp(2*x)+(1/16+1/8*x+1/8*x^2)*exp(-2*x)-2*x*(x*exp(2*x)+exp(2*x)-1)/(exp(2*x)-1)^2+ln(exp(x)-1)+ln(exp(x)+1)-2*ln(exp(x))+2*x^2*ln(exp(x)+1)+4*x*polylog(2,-exp(x))-4*polylog(3,-exp(x))+2*x^2*ln(1-exp(x))+4*x*polylog(2,exp(x))-4*polylog(3,exp(x))","A"
423,1,184,128,0.305000," ","int(x^3*cosh(x)^2*coth(x)^3,x)","-\frac{x^{4}}{2}+\left(-\frac{3}{32}+\frac{3}{16} x -\frac{3}{16} x^{2}+\frac{1}{8} x^{3}\right) {\mathrm e}^{2 x}+\left(\frac{3}{32}+\frac{3}{16} x +\frac{3}{16} x^{2}+\frac{1}{8} x^{3}\right) {\mathrm e}^{-2 x}-\frac{x^{2} \left(2 x \,{\mathrm e}^{2 x}+3 \,{\mathrm e}^{2 x}-3\right)}{\left({\mathrm e}^{2 x}-1\right)^{2}}-3 x^{2}+3 x \ln \left({\mathrm e}^{x}+1\right)+3 \polylog \left(2, -{\mathrm e}^{x}\right)+3 x \ln \left(1-{\mathrm e}^{x}\right)+3 \polylog \left(2, {\mathrm e}^{x}\right)+2 x^{3} \ln \left({\mathrm e}^{x}+1\right)+6 x^{2} \polylog \left(2, -{\mathrm e}^{x}\right)-12 x \polylog \left(3, -{\mathrm e}^{x}\right)+12 \polylog \left(4, -{\mathrm e}^{x}\right)+2 x^{3} \ln \left(1-{\mathrm e}^{x}\right)+6 x^{2} \polylog \left(2, {\mathrm e}^{x}\right)-12 x \polylog \left(3, {\mathrm e}^{x}\right)+12 \polylog \left(4, {\mathrm e}^{x}\right)"," ",0,"-1/2*x^4+(-3/32+3/16*x-3/16*x^2+1/8*x^3)*exp(2*x)+(3/32+3/16*x+3/16*x^2+1/8*x^3)*exp(-2*x)-x^2*(2*x*exp(2*x)+3*exp(2*x)-3)/(exp(2*x)-1)^2-3*x^2+3*x*ln(exp(x)+1)+3*polylog(2,-exp(x))+3*x*ln(1-exp(x))+3*polylog(2,exp(x))+2*x^3*ln(exp(x)+1)+6*x^2*polylog(2,-exp(x))-12*x*polylog(3,-exp(x))+12*polylog(4,-exp(x))+2*x^3*ln(1-exp(x))+6*x^2*polylog(2,exp(x))-12*x*polylog(3,exp(x))+12*polylog(4,exp(x))","A"
424,0,0,18,0.104000," ","int(x^m*cosh(b*x+a)*csch(b*x+a)^2,x)","\int x^{m} \cosh \left(b x +a \right) \mathrm{csch}\left(b x +a \right)^{2}\, dx"," ",0,"int(x^m*cosh(b*x+a)*csch(b*x+a)^2,x)","F"
425,1,174,88,0.224000," ","int(x^3*cosh(b*x+a)*csch(b*x+a)^2,x)","-\frac{2 x^{3} {\mathrm e}^{b x +a}}{b \left({\mathrm e}^{2 b x +2 a}-1\right)}-\frac{6 a^{2} \arctanh \left({\mathrm e}^{b x +a}\right)}{b^{4}}-\frac{3 \ln \left(1+{\mathrm e}^{b x +a}\right) x^{2}}{b^{2}}+\frac{3 \ln \left(1+{\mathrm e}^{b x +a}\right) a^{2}}{b^{4}}-\frac{6 x \polylog \left(2, -{\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{6 \polylog \left(3, -{\mathrm e}^{b x +a}\right)}{b^{4}}+\frac{3 \ln \left(1-{\mathrm e}^{b x +a}\right) x^{2}}{b^{2}}-\frac{3 \ln \left(1-{\mathrm e}^{b x +a}\right) a^{2}}{b^{4}}+\frac{6 x \polylog \left(2, {\mathrm e}^{b x +a}\right)}{b^{3}}-\frac{6 \polylog \left(3, {\mathrm e}^{b x +a}\right)}{b^{4}}"," ",0,"-2/b*x^3*exp(b*x+a)/(exp(2*b*x+2*a)-1)-6/b^4*a^2*arctanh(exp(b*x+a))-3/b^2*ln(1+exp(b*x+a))*x^2+3/b^4*ln(1+exp(b*x+a))*a^2-6*x*polylog(2,-exp(b*x+a))/b^3+6*polylog(3,-exp(b*x+a))/b^4+3/b^2*ln(1-exp(b*x+a))*x^2-3/b^4*ln(1-exp(b*x+a))*a^2+6*x*polylog(2,exp(b*x+a))/b^3-6*polylog(3,exp(b*x+a))/b^4","A"
426,1,134,56,0.223000," ","int(x^2*cosh(b*x+a)*csch(b*x+a)^2,x)","-\frac{2 x^{2} {\mathrm e}^{b x +a}}{b \left({\mathrm e}^{2 b x +2 a}-1\right)}-\frac{2 \ln \left(1+{\mathrm e}^{b x +a}\right) x}{b^{2}}-\frac{2 \ln \left(1+{\mathrm e}^{b x +a}\right) a}{b^{3}}-\frac{2 \polylog \left(2, -{\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{2 \ln \left(1-{\mathrm e}^{b x +a}\right) x}{b^{2}}+\frac{2 \ln \left(1-{\mathrm e}^{b x +a}\right) a}{b^{3}}+\frac{2 \polylog \left(2, {\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{4 a \arctanh \left({\mathrm e}^{b x +a}\right)}{b^{3}}"," ",0,"-2*x^2*exp(b*x+a)/b/(exp(2*b*x+2*a)-1)-2/b^2*ln(1+exp(b*x+a))*x-2/b^3*ln(1+exp(b*x+a))*a-2*polylog(2,-exp(b*x+a))/b^3+2/b^2*ln(1-exp(b*x+a))*x+2/b^3*ln(1-exp(b*x+a))*a+2*polylog(2,exp(b*x+a))/b^3+4/b^3*a*arctanh(exp(b*x+a))","B"
427,1,54,25,0.135000," ","int(x*cosh(b*x+a)*csch(b*x+a)^2,x)","-\frac{2 \,{\mathrm e}^{b x +a} x}{b \left({\mathrm e}^{2 b x +2 a}-1\right)}-\frac{\ln \left(1+{\mathrm e}^{b x +a}\right)}{b^{2}}+\frac{\ln \left({\mathrm e}^{b x +a}-1\right)}{b^{2}}"," ",0,"-2*exp(b*x+a)*x/b/(exp(2*b*x+2*a)-1)-1/b^2*ln(1+exp(b*x+a))+1/b^2*ln(exp(b*x+a)-1)","B"
428,1,12,11,0.026000," ","int(cosh(b*x+a)*csch(b*x+a)^2,x)","-\frac{\mathrm{csch}\left(b x +a \right)}{b}"," ",0,"-csch(b*x+a)/b","A"
429,0,0,18,0.353000," ","int(cosh(b*x+a)*csch(b*x+a)^2/x,x)","\int \frac{\cosh \left(b x +a \right) \mathrm{csch}\left(b x +a \right)^{2}}{x}\, dx"," ",0,"int(cosh(b*x+a)*csch(b*x+a)^2/x,x)","F"
430,0,0,18,0.360000," ","int(cosh(b*x+a)*csch(b*x+a)^2/x^2,x)","\int \frac{\cosh \left(b x +a \right) \mathrm{csch}\left(b x +a \right)^{2}}{x^{2}}\, dx"," ",0,"int(cosh(b*x+a)*csch(b*x+a)^2/x^2,x)","F"
431,0,0,14,0.281000," ","int(x^m*cosh(b*x+a)^2*csch(b*x+a)^2,x)","\int x^{m} \left(\cosh^{2}\left(b x +a \right)\right) \mathrm{csch}\left(b x +a \right)^{2}\, dx"," ",0,"int(x^m*cosh(b*x+a)^2*csch(b*x+a)^2,x)","F"
432,1,198,83,0.584000," ","int(x^3*cosh(b*x+a)^2*csch(b*x+a)^2,x)","\frac{x^{4}}{4}-\frac{2 x^{3}}{b \left({\mathrm e}^{2 b x +2 a}-1\right)}+\frac{3 a^{2} \ln \left({\mathrm e}^{b x +a}-1\right)}{b^{4}}-\frac{6 a^{2} \ln \left({\mathrm e}^{b x +a}\right)}{b^{4}}-\frac{2 x^{3}}{b}+\frac{6 a^{2} x}{b^{3}}+\frac{4 a^{3}}{b^{4}}+\frac{3 \ln \left(1-{\mathrm e}^{b x +a}\right) x^{2}}{b^{2}}-\frac{3 \ln \left(1-{\mathrm e}^{b x +a}\right) a^{2}}{b^{4}}+\frac{6 x \polylog \left(2, {\mathrm e}^{b x +a}\right)}{b^{3}}-\frac{6 \polylog \left(3, {\mathrm e}^{b x +a}\right)}{b^{4}}+\frac{3 \ln \left(1+{\mathrm e}^{b x +a}\right) x^{2}}{b^{2}}+\frac{6 x \polylog \left(2, -{\mathrm e}^{b x +a}\right)}{b^{3}}-\frac{6 \polylog \left(3, -{\mathrm e}^{b x +a}\right)}{b^{4}}"," ",0,"1/4*x^4-2*x^3/b/(exp(2*b*x+2*a)-1)+3/b^4*a^2*ln(exp(b*x+a)-1)-6/b^4*a^2*ln(exp(b*x+a))-2*x^3/b+6/b^3*a^2*x+4/b^4*a^3+3/b^2*ln(1-exp(b*x+a))*x^2-3/b^4*ln(1-exp(b*x+a))*a^2+6*x*polylog(2,exp(b*x+a))/b^3-6*polylog(3,exp(b*x+a))/b^4+3/b^2*ln(1+exp(b*x+a))*x^2+6*x*polylog(2,-exp(b*x+a))/b^3-6*polylog(3,-exp(b*x+a))/b^4","B"
433,1,156,63,0.575000," ","int(x^2*cosh(b*x+a)^2*csch(b*x+a)^2,x)","\frac{x^{3}}{3}-\frac{2 x^{2}}{b \left({\mathrm e}^{2 b x +2 a}-1\right)}-\frac{2 x^{2}}{b}-\frac{4 a x}{b^{2}}-\frac{2 a^{2}}{b^{3}}+\frac{2 \ln \left(1-{\mathrm e}^{b x +a}\right) x}{b^{2}}+\frac{2 \ln \left(1-{\mathrm e}^{b x +a}\right) a}{b^{3}}+\frac{2 \polylog \left(2, {\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{2 \ln \left(1+{\mathrm e}^{b x +a}\right) x}{b^{2}}+\frac{2 \polylog \left(2, -{\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{4 a \ln \left({\mathrm e}^{b x +a}\right)}{b^{3}}-\frac{2 a \ln \left({\mathrm e}^{b x +a}-1\right)}{b^{3}}"," ",0,"1/3*x^3-2*x^2/b/(exp(2*b*x+2*a)-1)-2*x^2/b-4*a*x/b^2-2/b^3*a^2+2/b^2*ln(1-exp(b*x+a))*x+2/b^3*ln(1-exp(b*x+a))*a+2*polylog(2,exp(b*x+a))/b^3+2/b^2*ln(1+exp(b*x+a))*x+2*polylog(2,-exp(b*x+a))/b^3+4/b^3*a*ln(exp(b*x+a))-2/b^3*a*ln(exp(b*x+a)-1)","B"
434,1,54,29,0.511000," ","int(x*cosh(b*x+a)^2*csch(b*x+a)^2,x)","\frac{x^{2}}{2}-\frac{2 x}{b}-\frac{2 a}{b^{2}}-\frac{2 x}{b \left({\mathrm e}^{2 b x +2 a}-1\right)}+\frac{\ln \left({\mathrm e}^{2 b x +2 a}-1\right)}{b^{2}}"," ",0,"1/2*x^2-2*x/b-2*a/b^2-2*x/b/(exp(2*b*x+2*a)-1)+1/b^2*ln(exp(2*b*x+2*a)-1)","A"
435,1,18,13,0.125000," ","int(cosh(b*x+a)^2*csch(b*x+a)^2,x)","\frac{b x +a -\coth \left(b x +a \right)}{b}"," ",0,"1/b*(b*x+a-coth(b*x+a))","A"
436,0,0,14,0.582000," ","int(cosh(b*x+a)^2*csch(b*x+a)^2/x,x)","\int \frac{\left(\cosh^{2}\left(b x +a \right)\right) \mathrm{csch}\left(b x +a \right)^{2}}{x}\, dx"," ",0,"int(cosh(b*x+a)^2*csch(b*x+a)^2/x,x)","F"
437,0,0,14,0.587000," ","int(cosh(b*x+a)^2*csch(b*x+a)^2/x^2,x)","\int \frac{\left(\cosh^{2}\left(b x +a \right)\right) \mathrm{csch}\left(b x +a \right)^{2}}{x^{2}}\, dx"," ",0,"int(cosh(b*x+a)^2*csch(b*x+a)^2/x^2,x)","F"
438,0,0,71,0.444000," ","int(x^m*cosh(b*x+a)^3*csch(b*x+a)^2,x)","\int x^{m} \left(\cosh^{3}\left(b x +a \right)\right) \mathrm{csch}\left(b x +a \right)^{2}\, dx"," ",0,"int(x^m*cosh(b*x+a)^3*csch(b*x+a)^2,x)","F"
439,1,241,138,0.535000," ","int(x^3*cosh(b*x+a)^3*csch(b*x+a)^2,x)","\frac{\left(x^{3} b^{3}-3 x^{2} b^{2}+6 b x -6\right) {\mathrm e}^{b x +a}}{2 b^{4}}-\frac{\left(x^{3} b^{3}+3 x^{2} b^{2}+6 b x +6\right) {\mathrm e}^{-b x -a}}{2 b^{4}}-\frac{2 x^{3} {\mathrm e}^{b x +a}}{b \left({\mathrm e}^{2 b x +2 a}-1\right)}-\frac{6 a^{2} \arctanh \left({\mathrm e}^{b x +a}\right)}{b^{4}}-\frac{3 \ln \left(1+{\mathrm e}^{b x +a}\right) x^{2}}{b^{2}}+\frac{3 \ln \left(1+{\mathrm e}^{b x +a}\right) a^{2}}{b^{4}}-\frac{6 x \polylog \left(2, -{\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{6 \polylog \left(3, -{\mathrm e}^{b x +a}\right)}{b^{4}}+\frac{3 \ln \left(1-{\mathrm e}^{b x +a}\right) x^{2}}{b^{2}}-\frac{3 \ln \left(1-{\mathrm e}^{b x +a}\right) a^{2}}{b^{4}}+\frac{6 x \polylog \left(2, {\mathrm e}^{b x +a}\right)}{b^{3}}-\frac{6 \polylog \left(3, {\mathrm e}^{b x +a}\right)}{b^{4}}"," ",0,"1/2*(b^3*x^3-3*b^2*x^2+6*b*x-6)/b^4*exp(b*x+a)-1/2*(b^3*x^3+3*b^2*x^2+6*b*x+6)/b^4*exp(-b*x-a)-2/b*x^3*exp(b*x+a)/(exp(2*b*x+2*a)-1)-6/b^4*a^2*arctanh(exp(b*x+a))-3/b^2*ln(1+exp(b*x+a))*x^2+3/b^4*ln(1+exp(b*x+a))*a^2-6*x*polylog(2,-exp(b*x+a))/b^3+6*polylog(3,-exp(b*x+a))/b^4+3/b^2*ln(1-exp(b*x+a))*x^2-3/b^4*ln(1-exp(b*x+a))*a^2+6*x*polylog(2,exp(b*x+a))/b^3-6*polylog(3,exp(b*x+a))/b^4","A"
440,1,185,92,0.534000," ","int(x^2*cosh(b*x+a)^3*csch(b*x+a)^2,x)","\frac{\left(x^{2} b^{2}-2 b x +2\right) {\mathrm e}^{b x +a}}{2 b^{3}}-\frac{\left(x^{2} b^{2}+2 b x +2\right) {\mathrm e}^{-b x -a}}{2 b^{3}}-\frac{2 x^{2} {\mathrm e}^{b x +a}}{b \left({\mathrm e}^{2 b x +2 a}-1\right)}-\frac{2 \ln \left(1+{\mathrm e}^{b x +a}\right) x}{b^{2}}-\frac{2 \ln \left(1+{\mathrm e}^{b x +a}\right) a}{b^{3}}-\frac{2 \polylog \left(2, -{\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{2 \ln \left(1-{\mathrm e}^{b x +a}\right) x}{b^{2}}+\frac{2 \ln \left(1-{\mathrm e}^{b x +a}\right) a}{b^{3}}+\frac{2 \polylog \left(2, {\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{4 a \arctanh \left({\mathrm e}^{b x +a}\right)}{b^{3}}"," ",0,"1/2*(b^2*x^2-2*b*x+2)/b^3*exp(b*x+a)-1/2*(b^2*x^2+2*b*x+2)/b^3*exp(-b*x-a)-2*x^2*exp(b*x+a)/b/(exp(2*b*x+2*a)-1)-2/b^2*ln(1+exp(b*x+a))*x-2/b^3*ln(1+exp(b*x+a))*a-2*polylog(2,-exp(b*x+a))/b^3+2/b^2*ln(1-exp(b*x+a))*x+2/b^3*ln(1-exp(b*x+a))*a+2*polylog(2,exp(b*x+a))/b^3+4/b^3*a*arctanh(exp(b*x+a))","A"
441,1,89,47,0.451000," ","int(x*cosh(b*x+a)^3*csch(b*x+a)^2,x)","\frac{\left(b x -1\right) {\mathrm e}^{b x +a}}{2 b^{2}}-\frac{\left(b x +1\right) {\mathrm e}^{-b x -a}}{2 b^{2}}-\frac{2 \,{\mathrm e}^{b x +a} x}{b \left({\mathrm e}^{2 b x +2 a}-1\right)}+\frac{\ln \left({\mathrm e}^{b x +a}-1\right)}{b^{2}}-\frac{\ln \left(1+{\mathrm e}^{b x +a}\right)}{b^{2}}"," ",0,"1/2*(b*x-1)/b^2*exp(b*x+a)-1/2*(b*x+1)/b^2*exp(-b*x-a)-2*exp(b*x+a)*x/b/(exp(2*b*x+2*a)-1)+1/b^2*ln(exp(b*x+a)-1)-1/b^2*ln(1+exp(b*x+a))","A"
442,1,33,22,0.116000," ","int(cosh(b*x+a)^3*csch(b*x+a)^2,x)","\frac{\frac{\cosh^{2}\left(b x +a \right)}{\sinh \left(b x +a \right)}-\frac{2}{\sinh \left(b x +a \right)}}{b}"," ",0,"1/b*(1/sinh(b*x+a)*cosh(b*x+a)^2-2/sinh(b*x+a))","A"
443,0,0,33,0.666000," ","int(cosh(b*x+a)^3*csch(b*x+a)^2/x,x)","\int \frac{\left(\cosh^{3}\left(b x +a \right)\right) \mathrm{csch}\left(b x +a \right)^{2}}{x}\, dx"," ",0,"int(cosh(b*x+a)^3*csch(b*x+a)^2/x,x)","F"
444,0,0,46,0.665000," ","int(cosh(b*x+a)^3*csch(b*x+a)^2/x^2,x)","\int \frac{\left(\cosh^{3}\left(b x +a \right)\right) \mathrm{csch}\left(b x +a \right)^{2}}{x^{2}}\, dx"," ",0,"int(cosh(b*x+a)^3*csch(b*x+a)^2/x^2,x)","F"
445,0,0,20,0.142000," ","int(x^m*cosh(b*x+a)*csch(b*x+a)^3,x)","\int x^{m} \cosh \left(b x +a \right) \mathrm{csch}\left(b x +a \right)^{3}\, dx"," ",0,"int(x^m*cosh(b*x+a)*csch(b*x+a)^3,x)","F"
446,1,177,75,0.263000," ","int(x^3*cosh(b*x+a)*csch(b*x+a)^3,x)","-\frac{x^{2} \left(2 b x \,{\mathrm e}^{2 b x +2 a}+3 \,{\mathrm e}^{2 b x +2 a}-3\right)}{b^{2} \left({\mathrm e}^{2 b x +2 a}-1\right)^{2}}-\frac{3 x^{2}}{b^{2}}-\frac{6 a x}{b^{3}}-\frac{3 a^{2}}{b^{4}}+\frac{3 \ln \left(1-{\mathrm e}^{b x +a}\right) x}{b^{3}}+\frac{3 \ln \left(1-{\mathrm e}^{b x +a}\right) a}{b^{4}}+\frac{3 \polylog \left(2, {\mathrm e}^{b x +a}\right)}{b^{4}}+\frac{3 \ln \left(1+{\mathrm e}^{b x +a}\right) x}{b^{3}}+\frac{3 \polylog \left(2, -{\mathrm e}^{b x +a}\right)}{b^{4}}+\frac{6 a \ln \left({\mathrm e}^{b x +a}\right)}{b^{4}}-\frac{3 a \ln \left({\mathrm e}^{b x +a}-1\right)}{b^{4}}"," ",0,"-x^2*(2*b*x*exp(2*b*x+2*a)+3*exp(2*b*x+2*a)-3)/b^2/(exp(2*b*x+2*a)-1)^2-3*x^2/b^2-6*a*x/b^3-3/b^4*a^2+3/b^3*ln(1-exp(b*x+a))*x+3/b^4*ln(1-exp(b*x+a))*a+3*polylog(2,exp(b*x+a))/b^4+3/b^3*ln(1+exp(b*x+a))*x+3*polylog(2,-exp(b*x+a))/b^4+6/b^4*a*ln(exp(b*x+a))-3/b^4*a*ln(exp(b*x+a)-1)","B"
447,1,72,40,0.189000," ","int(x^2*cosh(b*x+a)*csch(b*x+a)^3,x)","-\frac{2 x}{b^{2}}-\frac{2 a}{b^{3}}-\frac{2 x \left(b x \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}-1\right)}{b^{2} \left({\mathrm e}^{2 b x +2 a}-1\right)^{2}}+\frac{\ln \left({\mathrm e}^{2 b x +2 a}-1\right)}{b^{3}}"," ",0,"-2*x/b^2-2/b^3*a-2*x*(b*x*exp(2*b*x+2*a)+exp(2*b*x+2*a)-1)/b^2/(exp(2*b*x+2*a)-1)^2+1/b^3*ln(exp(2*b*x+2*a)-1)","A"
448,1,43,26,0.174000," ","int(x*cosh(b*x+a)*csch(b*x+a)^3,x)","-\frac{2 b x \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}-1}{b^{2} \left({\mathrm e}^{2 b x +2 a}-1\right)^{2}}"," ",0,"-(2*b*x*exp(2*b*x+2*a)+exp(2*b*x+2*a)-1)/b^2/(exp(2*b*x+2*a)-1)^2","A"
449,1,14,13,0.072000," ","int(cosh(b*x+a)*csch(b*x+a)^3,x)","-\frac{\mathrm{csch}\left(b x +a \right)^{2}}{2 b}"," ",0,"-1/2*csch(b*x+a)^2/b","A"
450,0,0,20,0.433000," ","int(cosh(b*x+a)*csch(b*x+a)^3/x,x)","\int \frac{\cosh \left(b x +a \right) \mathrm{csch}\left(b x +a \right)^{3}}{x}\, dx"," ",0,"int(cosh(b*x+a)*csch(b*x+a)^3/x,x)","F"
451,0,0,20,0.433000," ","int(cosh(b*x+a)*csch(b*x+a)^3/x^2,x)","\int \frac{\cosh \left(b x +a \right) \mathrm{csch}\left(b x +a \right)^{3}}{x^{2}}\, dx"," ",0,"int(cosh(b*x+a)*csch(b*x+a)^3/x^2,x)","F"
452,0,0,27,0.305000," ","int(x^m*cosh(b*x+a)^2*csch(b*x+a)^3,x)","\int x^{m} \left(\cosh^{2}\left(b x +a \right)\right) \mathrm{csch}\left(b x +a \right)^{3}\, dx"," ",0,"int(x^m*cosh(b*x+a)^2*csch(b*x+a)^3,x)","F"
453,1,340,183,0.760000," ","int(x^3*cosh(b*x+a)^2*csch(b*x+a)^3,x)","-\frac{x^{2} {\mathrm e}^{b x +a} \left(b x \,{\mathrm e}^{2 b x +2 a}+b x +3 \,{\mathrm e}^{2 b x +2 a}-3\right)}{b^{2} \left({\mathrm e}^{2 b x +2 a}-1\right)^{2}}-\frac{3 a \ln \left(1+{\mathrm e}^{b x +a}\right)}{b^{4}}+\frac{3 \ln \left(1-{\mathrm e}^{b x +a}\right) a}{b^{4}}-\frac{\ln \left(1+{\mathrm e}^{b x +a}\right) x^{3}}{2 b}-\frac{3 x^{2} \polylog \left(2, -{\mathrm e}^{b x +a}\right)}{2 b^{2}}+\frac{3 x \polylog \left(3, -{\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) x^{3}}{2 b}+\frac{3 x^{2} \polylog \left(2, {\mathrm e}^{b x +a}\right)}{2 b^{2}}-\frac{3 x \polylog \left(3, {\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{3 \ln \left(1-{\mathrm e}^{b x +a}\right) x}{b^{3}}-\frac{3 \ln \left(1+{\mathrm e}^{b x +a}\right) x}{b^{3}}-\frac{3 \polylog \left(2, -{\mathrm e}^{b x +a}\right)}{b^{4}}-\frac{3 \polylog \left(4, -{\mathrm e}^{b x +a}\right)}{b^{4}}+\frac{3 \polylog \left(2, {\mathrm e}^{b x +a}\right)}{b^{4}}+\frac{3 \polylog \left(4, {\mathrm e}^{b x +a}\right)}{b^{4}}-\frac{\ln \left(1+{\mathrm e}^{b x +a}\right) a^{3}}{2 b^{4}}+\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) a^{3}}{2 b^{4}}+\frac{6 a \arctanh \left({\mathrm e}^{b x +a}\right)}{b^{4}}+\frac{a^{3} \arctanh \left({\mathrm e}^{b x +a}\right)}{b^{4}}"," ",0,"-x^2*exp(b*x+a)*(b*x*exp(2*b*x+2*a)+b*x+3*exp(2*b*x+2*a)-3)/b^2/(exp(2*b*x+2*a)-1)^2-3/b^4*a*ln(1+exp(b*x+a))+3/b^4*ln(1-exp(b*x+a))*a-1/2/b*ln(1+exp(b*x+a))*x^3-3/2*x^2*polylog(2,-exp(b*x+a))/b^2+3*x*polylog(3,-exp(b*x+a))/b^3+1/2/b*ln(1-exp(b*x+a))*x^3+3/2*x^2*polylog(2,exp(b*x+a))/b^2-3*x*polylog(3,exp(b*x+a))/b^3+3/b^3*ln(1-exp(b*x+a))*x-3/b^3*ln(1+exp(b*x+a))*x-3*polylog(2,-exp(b*x+a))/b^4-3*polylog(4,-exp(b*x+a))/b^4+3*polylog(2,exp(b*x+a))/b^4+3*polylog(4,exp(b*x+a))/b^4-1/2/b^4*ln(1+exp(b*x+a))*a^3+1/2/b^4*ln(1-exp(b*x+a))*a^3+6/b^4*a*arctanh(exp(b*x+a))+1/b^4*a^3*arctanh(exp(b*x+a))","A"
454,1,210,116,0.718000," ","int(x^2*cosh(b*x+a)^2*csch(b*x+a)^3,x)","-\frac{x \,{\mathrm e}^{b x +a} \left(b x \,{\mathrm e}^{2 b x +2 a}+b x +2 \,{\mathrm e}^{2 b x +2 a}-2\right)}{b^{2} \left({\mathrm e}^{2 b x +2 a}-1\right)^{2}}-\frac{a^{2} \arctanh \left({\mathrm e}^{b x +a}\right)}{b^{3}}-\frac{\ln \left(1+{\mathrm e}^{b x +a}\right) x^{2}}{2 b}+\frac{\ln \left(1+{\mathrm e}^{b x +a}\right) a^{2}}{2 b^{3}}-\frac{\polylog \left(2, -{\mathrm e}^{b x +a}\right) x}{b^{2}}+\frac{\polylog \left(3, -{\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) x^{2}}{2 b}-\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) a^{2}}{2 b^{3}}+\frac{\polylog \left(2, {\mathrm e}^{b x +a}\right) x}{b^{2}}-\frac{\polylog \left(3, {\mathrm e}^{b x +a}\right)}{b^{3}}-\frac{2 \arctanh \left({\mathrm e}^{b x +a}\right)}{b^{3}}"," ",0,"-x*exp(b*x+a)*(b*x*exp(2*b*x+2*a)+b*x+2*exp(2*b*x+2*a)-2)/b^2/(exp(2*b*x+2*a)-1)^2-1/b^3*a^2*arctanh(exp(b*x+a))-1/2/b*ln(1+exp(b*x+a))*x^2+1/2/b^3*ln(1+exp(b*x+a))*a^2-1/b^2*polylog(2,-exp(b*x+a))*x+1/b^3*polylog(3,-exp(b*x+a))+1/2/b*ln(1-exp(b*x+a))*x^2-1/2/b^3*ln(1-exp(b*x+a))*a^2+1/b^2*polylog(2,exp(b*x+a))*x-1/b^3*polylog(3,exp(b*x+a))-2/b^3*arctanh(exp(b*x+a))","A"
455,1,156,71,0.658000," ","int(x*cosh(b*x+a)^2*csch(b*x+a)^3,x)","-\frac{{\mathrm e}^{b x +a} \left(b x \,{\mathrm e}^{2 b x +2 a}+b x +{\mathrm e}^{2 b x +2 a}-1\right)}{b^{2} \left({\mathrm e}^{2 b x +2 a}-1\right)^{2}}-\frac{\ln \left(1+{\mathrm e}^{b x +a}\right) x}{2 b}-\frac{\ln \left(1+{\mathrm e}^{b x +a}\right) a}{2 b^{2}}-\frac{\polylog \left(2, -{\mathrm e}^{b x +a}\right)}{2 b^{2}}+\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) x}{2 b}+\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) a}{2 b^{2}}+\frac{\polylog \left(2, {\mathrm e}^{b x +a}\right)}{2 b^{2}}+\frac{a \arctanh \left({\mathrm e}^{b x +a}\right)}{b^{2}}"," ",0,"-exp(b*x+a)*(b*x*exp(2*b*x+2*a)+b*x+exp(2*b*x+2*a)-1)/b^2/(exp(2*b*x+2*a)-1)^2-1/2/b*ln(1+exp(b*x+a))*x-1/2/b^2*ln(1+exp(b*x+a))*a-1/2*polylog(2,-exp(b*x+a))/b^2+1/2/b*ln(1-exp(b*x+a))*x+1/2/b^2*ln(1-exp(b*x+a))*a+1/2*polylog(2,exp(b*x+a))/b^2+1/b^2*a*arctanh(exp(b*x+a))","B"
456,1,45,30,0.349000," ","int(cosh(b*x+a)^2*csch(b*x+a)^3,x)","\frac{-\frac{\cosh \left(b x +a \right)}{\sinh \left(b x +a \right)^{2}}+\frac{\mathrm{csch}\left(b x +a \right) \coth \left(b x +a \right)}{2}-\arctanh \left({\mathrm e}^{b x +a}\right)}{b}"," ",0,"1/b*(-1/sinh(b*x+a)^2*cosh(b*x+a)+1/2*csch(b*x+a)*coth(b*x+a)-arctanh(exp(b*x+a)))","A"
457,0,0,27,0.916000," ","int(cosh(b*x+a)^2*csch(b*x+a)^3/x,x)","\int \frac{\left(\cosh^{2}\left(b x +a \right)\right) \mathrm{csch}\left(b x +a \right)^{3}}{x}\, dx"," ",0,"int(cosh(b*x+a)^2*csch(b*x+a)^3/x,x)","F"
458,0,0,27,1.042000," ","int(cosh(b*x+a)^2*csch(b*x+a)^3/x^2,x)","\int \frac{\left(\cosh^{2}\left(b x +a \right)\right) \mathrm{csch}\left(b x +a \right)^{3}}{x^{2}}\, dx"," ",0,"int(cosh(b*x+a)^2*csch(b*x+a)^3/x^2,x)","F"
459,0,0,14,0.467000," ","int(x^m*cosh(b*x+a)^3*csch(b*x+a)^3,x)","\int x^{m} \left(\cosh^{3}\left(b x +a \right)\right) \mathrm{csch}\left(b x +a \right)^{3}\, dx"," ",0,"int(x^m*cosh(b*x+a)^3*csch(b*x+a)^3,x)","F"
460,1,375,161,0.597000," ","int(x^3*cosh(b*x+a)^3*csch(b*x+a)^3,x)","-\frac{x^{2} \left(2 b x \,{\mathrm e}^{2 b x +2 a}+3 \,{\mathrm e}^{2 b x +2 a}-3\right)}{b^{2} \left({\mathrm e}^{2 b x +2 a}-1\right)^{2}}+\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) x^{3}}{b}+\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) a^{3}}{b^{4}}+\frac{3 x^{2} \polylog \left(2, {\mathrm e}^{b x +a}\right)}{b^{2}}-\frac{2 a^{3} x}{b^{3}}+\frac{3 x^{2} \polylog \left(2, -{\mathrm e}^{b x +a}\right)}{b^{2}}-\frac{6 x \polylog \left(3, -{\mathrm e}^{b x +a}\right)}{b^{3}}-\frac{6 x \polylog \left(3, {\mathrm e}^{b x +a}\right)}{b^{3}}-\frac{x^{4}}{4}-\frac{3 x^{2}}{b^{2}}+\frac{6 \polylog \left(4, -{\mathrm e}^{b x +a}\right)}{b^{4}}+\frac{6 \polylog \left(4, {\mathrm e}^{b x +a}\right)}{b^{4}}-\frac{3 a^{4}}{2 b^{4}}+\frac{3 \ln \left(1-{\mathrm e}^{b x +a}\right) x}{b^{3}}+\frac{3 \ln \left(1-{\mathrm e}^{b x +a}\right) a}{b^{4}}+\frac{3 \ln \left(1+{\mathrm e}^{b x +a}\right) x}{b^{3}}+\frac{6 a \ln \left({\mathrm e}^{b x +a}\right)}{b^{4}}-\frac{3 a \ln \left({\mathrm e}^{b x +a}-1\right)}{b^{4}}-\frac{3 a^{2}}{b^{4}}+\frac{\ln \left(1+{\mathrm e}^{b x +a}\right) x^{3}}{b}-\frac{6 a x}{b^{3}}-\frac{a^{3} \ln \left({\mathrm e}^{b x +a}-1\right)}{b^{4}}+\frac{2 a^{3} \ln \left({\mathrm e}^{b x +a}\right)}{b^{4}}+\frac{3 \polylog \left(2, -{\mathrm e}^{b x +a}\right)}{b^{4}}+\frac{3 \polylog \left(2, {\mathrm e}^{b x +a}\right)}{b^{4}}"," ",0,"-x^2*(2*b*x*exp(2*b*x+2*a)+3*exp(2*b*x+2*a)-3)/b^2/(exp(2*b*x+2*a)-1)^2+1/b*ln(1-exp(b*x+a))*x^3+1/b^4*ln(1-exp(b*x+a))*a^3-2/b^3*a^3*x-1/4*x^4+6*polylog(4,-exp(b*x+a))/b^4+6*polylog(4,exp(b*x+a))/b^4+3*x^2*polylog(2,-exp(b*x+a))/b^2+3*x^2*polylog(2,exp(b*x+a))/b^2-6*x*polylog(3,-exp(b*x+a))/b^3-6*x*polylog(3,exp(b*x+a))/b^3-3*x^2/b^2+3*polylog(2,-exp(b*x+a))/b^4+3*polylog(2,exp(b*x+a))/b^4-3/2/b^4*a^4+3/b^3*ln(1-exp(b*x+a))*x+3/b^4*ln(1-exp(b*x+a))*a+3/b^3*ln(1+exp(b*x+a))*x+6/b^4*a*ln(exp(b*x+a))-3/b^4*a*ln(exp(b*x+a)-1)-3/b^4*a^2+1/b*ln(1+exp(b*x+a))*x^3-6*a*x/b^3-1/b^4*a^3*ln(exp(b*x+a)-1)+2/b^4*a^3*ln(exp(b*x+a))","B"
461,1,246,106,0.596000," ","int(x^2*cosh(b*x+a)^3*csch(b*x+a)^3,x)","-\frac{x^{3}}{3}-\frac{2 x \left(b x \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}-1\right)}{b^{2} \left({\mathrm e}^{2 b x +2 a}-1\right)^{2}}+\frac{4 a^{3}}{3 b^{3}}+\frac{a^{2} \ln \left({\mathrm e}^{b x +a}-1\right)}{b^{3}}-\frac{2 a^{2} \ln \left({\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) x^{2}}{b}+\frac{2 \polylog \left(2, {\mathrm e}^{b x +a}\right) x}{b^{2}}+\frac{\ln \left(1+{\mathrm e}^{b x +a}\right) x^{2}}{b}+\frac{2 \polylog \left(2, -{\mathrm e}^{b x +a}\right) x}{b^{2}}+\frac{2 a^{2} x}{b^{2}}-\frac{2 \ln \left({\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{\ln \left({\mathrm e}^{b x +a}-1\right)}{b^{3}}+\frac{\ln \left(1+{\mathrm e}^{b x +a}\right)}{b^{3}}-\frac{2 \polylog \left(3, {\mathrm e}^{b x +a}\right)}{b^{3}}-\frac{2 \polylog \left(3, -{\mathrm e}^{b x +a}\right)}{b^{3}}-\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) a^{2}}{b^{3}}"," ",0,"-1/3*x^3-2*x*(b*x*exp(2*b*x+2*a)+exp(2*b*x+2*a)-1)/b^2/(exp(2*b*x+2*a)-1)^2+4/3/b^3*a^3+1/b^3*a^2*ln(exp(b*x+a)-1)-2/b^3*a^2*ln(exp(b*x+a))+1/b*ln(1-exp(b*x+a))*x^2+2/b^2*polylog(2,exp(b*x+a))*x+1/b*ln(1+exp(b*x+a))*x^2+2/b^2*polylog(2,-exp(b*x+a))*x+2/b^2*a^2*x-2/b^3*ln(exp(b*x+a))+1/b^3*ln(exp(b*x+a)-1)+1/b^3*ln(1+exp(b*x+a))-2/b^3*polylog(3,exp(b*x+a))-2/b^3*polylog(3,-exp(b*x+a))-1/b^3*ln(1-exp(b*x+a))*a^2","B"
462,1,164,72,0.590000," ","int(x*cosh(b*x+a)^3*csch(b*x+a)^3,x)","-\frac{x^{2}}{2}-\frac{2 b x \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}-1}{b^{2} \left({\mathrm e}^{2 b x +2 a}-1\right)^{2}}-\frac{2 a x}{b}-\frac{a^{2}}{b^{2}}+\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) x}{b}+\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) a}{b^{2}}+\frac{\polylog \left(2, {\mathrm e}^{b x +a}\right)}{b^{2}}+\frac{\ln \left(1+{\mathrm e}^{b x +a}\right) x}{b}+\frac{\polylog \left(2, -{\mathrm e}^{b x +a}\right)}{b^{2}}+\frac{2 a \ln \left({\mathrm e}^{b x +a}\right)}{b^{2}}-\frac{a \ln \left({\mathrm e}^{b x +a}-1\right)}{b^{2}}"," ",0,"-1/2*x^2-(2*b*x*exp(2*b*x+2*a)+exp(2*b*x+2*a)-1)/b^2/(exp(2*b*x+2*a)-1)^2-2/b*a*x-a^2/b^2+1/b*ln(1-exp(b*x+a))*x+1/b^2*ln(1-exp(b*x+a))*a+polylog(2,exp(b*x+a))/b^2+1/b*ln(1+exp(b*x+a))*x+polylog(2,-exp(b*x+a))/b^2+2/b^2*a*ln(exp(b*x+a))-1/b^2*a*ln(exp(b*x+a)-1)","B"
463,1,26,25,0.166000," ","int(cosh(b*x+a)^3*csch(b*x+a)^3,x)","-\frac{\coth^{2}\left(b x +a \right)}{2 b}+\frac{\ln \left(\sinh \left(b x +a \right)\right)}{b}"," ",0,"-1/2*coth(b*x+a)^2/b+ln(sinh(b*x+a))/b","A"
464,0,0,14,1.347000," ","int(cosh(b*x+a)^3*csch(b*x+a)^3/x,x)","\int \frac{\left(\cosh^{3}\left(b x +a \right)\right) \mathrm{csch}\left(b x +a \right)^{3}}{x}\, dx"," ",0,"int(cosh(b*x+a)^3*csch(b*x+a)^3/x,x)","F"
465,0,0,14,1.355000," ","int(cosh(b*x+a)^3*csch(b*x+a)^3/x^2,x)","\int \frac{\left(\cosh^{3}\left(b x +a \right)\right) \mathrm{csch}\left(b x +a \right)^{3}}{x^{2}}\, dx"," ",0,"int(cosh(b*x+a)^3*csch(b*x+a)^3/x^2,x)","F"
466,0,0,18,0.204000," ","int(x^m*csch(b*x+a)*sech(b*x+a),x)","\int x^{m} \mathrm{csch}\left(b x +a \right) \mathrm{sech}\left(b x +a \right)\, dx"," ",0,"int(x^m*csch(b*x+a)*sech(b*x+a),x)","F"
467,1,241,129,0.447000," ","int(x^3*csch(b*x+a)*sech(b*x+a),x)","-\frac{3 \polylog \left(4, -{\mathrm e}^{2 b x +2 a}\right)}{4 b^{4}}+\frac{6 \polylog \left(4, {\mathrm e}^{b x +a}\right)}{b^{4}}+\frac{6 \polylog \left(4, -{\mathrm e}^{b x +a}\right)}{b^{4}}+\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) a^{3}}{b^{4}}-\frac{3 x^{2} \polylog \left(2, -{\mathrm e}^{2 b x +2 a}\right)}{2 b^{2}}+\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) x^{3}}{b}+\frac{3 x^{2} \polylog \left(2, {\mathrm e}^{b x +a}\right)}{b^{2}}-\frac{6 x \polylog \left(3, {\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{\ln \left(1+{\mathrm e}^{b x +a}\right) x^{3}}{b}+\frac{3 x^{2} \polylog \left(2, -{\mathrm e}^{b x +a}\right)}{b^{2}}-\frac{6 x \polylog \left(3, -{\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{3 x \polylog \left(3, -{\mathrm e}^{2 b x +2 a}\right)}{2 b^{3}}-\frac{x^{3} \ln \left(1+{\mathrm e}^{2 b x +2 a}\right)}{b}-\frac{a^{3} \ln \left({\mathrm e}^{b x +a}-1\right)}{b^{4}}"," ",0,"-3/4*polylog(4,-exp(2*b*x+2*a))/b^4+6*polylog(4,exp(b*x+a))/b^4+6*polylog(4,-exp(b*x+a))/b^4+1/b^4*ln(1-exp(b*x+a))*a^3-3/2*x^2*polylog(2,-exp(2*b*x+2*a))/b^2+1/b*ln(1-exp(b*x+a))*x^3+3*x^2*polylog(2,exp(b*x+a))/b^2-6*x*polylog(3,exp(b*x+a))/b^3+1/b*ln(1+exp(b*x+a))*x^3+3*x^2*polylog(2,-exp(b*x+a))/b^2-6*x*polylog(3,-exp(b*x+a))/b^3+3/2*x*polylog(3,-exp(2*b*x+2*a))/b^3-x^3*ln(1+exp(2*b*x+2*a))/b-1/b^4*a^3*ln(exp(b*x+a)-1)","A"
468,1,186,88,0.448000," ","int(x^2*csch(b*x+a)*sech(b*x+a),x)","\frac{a^{2} \ln \left({\mathrm e}^{b x +a}-1\right)}{b^{3}}-\frac{2 \polylog \left(3, {\mathrm e}^{b x +a}\right)}{b^{3}}-\frac{2 \polylog \left(3, -{\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{\polylog \left(3, -{\mathrm e}^{2 b x +2 a}\right)}{2 b^{3}}-\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) a^{2}}{b^{3}}-\frac{x^{2} \ln \left(1+{\mathrm e}^{2 b x +2 a}\right)}{b}-\frac{x \polylog \left(2, -{\mathrm e}^{2 b x +2 a}\right)}{b^{2}}+\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) x^{2}}{b}+\frac{2 \polylog \left(2, {\mathrm e}^{b x +a}\right) x}{b^{2}}+\frac{\ln \left(1+{\mathrm e}^{b x +a}\right) x^{2}}{b}+\frac{2 \polylog \left(2, -{\mathrm e}^{b x +a}\right) x}{b^{2}}"," ",0,"1/b^3*a^2*ln(exp(b*x+a)-1)-2/b^3*polylog(3,exp(b*x+a))-2/b^3*polylog(3,-exp(b*x+a))+1/2*polylog(3,-exp(2*b*x+2*a))/b^3-1/b^3*ln(1-exp(b*x+a))*a^2-x^2*ln(1+exp(2*b*x+2*a))/b-x*polylog(2,-exp(2*b*x+2*a))/b^2+1/b*ln(1-exp(b*x+a))*x^2+2/b^2*polylog(2,exp(b*x+a))*x+1/b*ln(1+exp(b*x+a))*x^2+2/b^2*polylog(2,-exp(b*x+a))*x","B"
469,1,125,51,0.436000," ","int(x*csch(b*x+a)*sech(b*x+a),x)","-\frac{x \ln \left(1+{\mathrm e}^{2 b x +2 a}\right)}{b}-\frac{\polylog \left(2, -{\mathrm e}^{2 b x +2 a}\right)}{2 b^{2}}+\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) x}{b}+\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) a}{b^{2}}+\frac{\polylog \left(2, {\mathrm e}^{b x +a}\right)}{b^{2}}+\frac{\ln \left(1+{\mathrm e}^{b x +a}\right) x}{b}+\frac{\polylog \left(2, -{\mathrm e}^{b x +a}\right)}{b^{2}}-\frac{a \ln \left({\mathrm e}^{b x +a}-1\right)}{b^{2}}"," ",0,"-x*ln(1+exp(2*b*x+2*a))/b-1/2*polylog(2,-exp(2*b*x+2*a))/b^2+1/b*ln(1-exp(b*x+a))*x+1/b^2*ln(1-exp(b*x+a))*a+polylog(2,exp(b*x+a))/b^2+1/b*ln(1+exp(b*x+a))*x+polylog(2,-exp(b*x+a))/b^2-1/b^2*a*ln(exp(b*x+a)-1)","B"
470,1,12,11,0.100000," ","int(csch(b*x+a)*sech(b*x+a),x)","\frac{\ln \left(\tanh \left(b x +a \right)\right)}{b}"," ",0,"ln(tanh(b*x+a))/b","A"
471,0,0,17,0.507000," ","int(csch(b*x+a)*sech(b*x+a)/x,x)","\int \frac{\mathrm{csch}\left(b x +a \right) \mathrm{sech}\left(b x +a \right)}{x}\, dx"," ",0,"int(csch(b*x+a)*sech(b*x+a)/x,x)","F"
472,0,0,17,0.487000," ","int(csch(b*x+a)*sech(b*x+a)/x^2,x)","\int \frac{\mathrm{csch}\left(b x +a \right) \mathrm{sech}\left(b x +a \right)}{x^{2}}\, dx"," ",0,"int(csch(b*x+a)*sech(b*x+a)/x^2,x)","F"
473,0,0,20,0.201000," ","int(x^m*csch(b*x+a)*sech(b*x+a)^2,x)","\int x^{m} \mathrm{csch}\left(b x +a \right) \mathrm{sech}\left(b x +a \right)^{2}\, dx"," ",0,"int(x^m*csch(b*x+a)*sech(b*x+a)^2,x)","F"
474,0,0,206,1.581000," ","int(x^3*csch(b*x+a)*sech(b*x+a)^2,x)","\int x^{3} \mathrm{csch}\left(b x +a \right) \mathrm{sech}\left(b x +a \right)^{2}\, dx"," ",0,"int(x^3*csch(b*x+a)*sech(b*x+a)^2,x)","F"
475,0,0,134,1.753000," ","int(x^2*csch(b*x+a)*sech(b*x+a)^2,x)","\int x^{2} \mathrm{csch}\left(b x +a \right) \mathrm{sech}\left(b x +a \right)^{2}\, dx"," ",0,"int(x^2*csch(b*x+a)*sech(b*x+a)^2,x)","F"
476,1,95,64,0.515000," ","int(x*csch(b*x+a)*sech(b*x+a)^2,x)","\frac{2 x \,{\mathrm e}^{b x +a}}{b \left(1+{\mathrm e}^{2 b x +2 a}\right)}-\frac{2 \arctan \left({\mathrm e}^{b x +a}\right)}{b^{2}}-\frac{\dilog \left(1+{\mathrm e}^{b x +a}\right)}{b^{2}}-\frac{\ln \left(1+{\mathrm e}^{b x +a}\right) x}{b}-\frac{\dilog \left({\mathrm e}^{b x +a}\right)}{b^{2}}-\frac{a \ln \left({\mathrm e}^{b x +a}-1\right)}{b^{2}}"," ",0,"2*x*exp(b*x+a)/b/(1+exp(2*b*x+2*a))-2/b^2*arctan(exp(b*x+a))-1/b^2*dilog(1+exp(b*x+a))-1/b*ln(1+exp(b*x+a))*x-1/b^2*dilog(exp(b*x+a))-1/b^2*a*ln(exp(b*x+a)-1)","A"
477,1,23,23,0.107000," ","int(csch(b*x+a)*sech(b*x+a)^2,x)","\frac{\frac{1}{\cosh \left(b x +a \right)}-2 \arctanh \left({\mathrm e}^{b x +a}\right)}{b}"," ",0,"1/b*(1/cosh(b*x+a)-2*arctanh(exp(b*x+a)))","A"
478,0,0,20,0.990000," ","int(csch(b*x+a)*sech(b*x+a)^2/x,x)","\int \frac{\mathrm{csch}\left(b x +a \right) \mathrm{sech}\left(b x +a \right)^{2}}{x}\, dx"," ",0,"int(csch(b*x+a)*sech(b*x+a)^2/x,x)","F"
479,0,0,20,1.093000," ","int(csch(b*x+a)*sech(b*x+a)^2/x^2,x)","\int \frac{\mathrm{csch}\left(b x +a \right) \mathrm{sech}\left(b x +a \right)^{2}}{x^{2}}\, dx"," ",0,"int(csch(b*x+a)*sech(b*x+a)^2/x^2,x)","F"
480,0,0,20,0.230000," ","int(x^m*csch(b*x+a)*sech(b*x+a)^3,x)","\int x^{m} \mathrm{csch}\left(b x +a \right) \mathrm{sech}\left(b x +a \right)^{3}\, dx"," ",0,"int(x^m*csch(b*x+a)*sech(b*x+a)^3,x)","F"
481,1,359,211,0.533000," ","int(x^3*csch(b*x+a)*sech(b*x+a)^3,x)","\frac{x^{2} \left(2 b x \,{\mathrm e}^{2 b x +2 a}+3 \,{\mathrm e}^{2 b x +2 a}+3\right)}{b^{2} \left(1+{\mathrm e}^{2 b x +2 a}\right)^{2}}-\frac{3 x^{2}}{b^{2}}-\frac{3 a^{2}}{b^{4}}+\frac{3 x \ln \left(1+{\mathrm e}^{2 b x +2 a}\right)}{b^{3}}+\frac{3 x \polylog \left(3, -{\mathrm e}^{2 b x +2 a}\right)}{2 b^{3}}-\frac{x^{3} \ln \left(1+{\mathrm e}^{2 b x +2 a}\right)}{b}-\frac{3 x^{2} \polylog \left(2, -{\mathrm e}^{2 b x +2 a}\right)}{2 b^{2}}+\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) x^{3}}{b}+\frac{3 x^{2} \polylog \left(2, {\mathrm e}^{b x +a}\right)}{b^{2}}-\frac{6 x \polylog \left(3, {\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{\ln \left(1+{\mathrm e}^{b x +a}\right) x^{3}}{b}+\frac{3 x^{2} \polylog \left(2, -{\mathrm e}^{b x +a}\right)}{b^{2}}-\frac{6 x \polylog \left(3, -{\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) a^{3}}{b^{4}}-\frac{6 a x}{b^{3}}+\frac{6 a \ln \left({\mathrm e}^{b x +a}\right)}{b^{4}}-\frac{3 \polylog \left(4, -{\mathrm e}^{2 b x +2 a}\right)}{4 b^{4}}+\frac{3 \polylog \left(2, -{\mathrm e}^{2 b x +2 a}\right)}{2 b^{4}}+\frac{6 \polylog \left(4, {\mathrm e}^{b x +a}\right)}{b^{4}}+\frac{6 \polylog \left(4, -{\mathrm e}^{b x +a}\right)}{b^{4}}-\frac{a^{3} \ln \left({\mathrm e}^{b x +a}-1\right)}{b^{4}}"," ",0,"x^2*(2*b*x*exp(2*b*x+2*a)+3*exp(2*b*x+2*a)+3)/b^2/(1+exp(2*b*x+2*a))^2-3*x^2/b^2-3/b^4*a^2+3*x*ln(1+exp(2*b*x+2*a))/b^3+3/2*x*polylog(3,-exp(2*b*x+2*a))/b^3-x^3*ln(1+exp(2*b*x+2*a))/b-3/2*x^2*polylog(2,-exp(2*b*x+2*a))/b^2+1/b*ln(1-exp(b*x+a))*x^3+3*x^2*polylog(2,exp(b*x+a))/b^2-6*x*polylog(3,exp(b*x+a))/b^3+1/b*ln(1+exp(b*x+a))*x^3+3*x^2*polylog(2,-exp(b*x+a))/b^2-6*x*polylog(3,-exp(b*x+a))/b^3+1/b^4*ln(1-exp(b*x+a))*a^3-6*a*x/b^3+6/b^4*a*ln(exp(b*x+a))-3/4*polylog(4,-exp(2*b*x+2*a))/b^4+3/2*polylog(2,-exp(2*b*x+2*a))/b^4+6*polylog(4,exp(b*x+a))/b^4+6*polylog(4,-exp(b*x+a))/b^4-1/b^4*a^3*ln(exp(b*x+a)-1)","A"
482,1,256,135,0.570000," ","int(x^2*csch(b*x+a)*sech(b*x+a)^3,x)","\frac{2 x \left(b x \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}+1\right)}{b^{2} \left(1+{\mathrm e}^{2 b x +2 a}\right)^{2}}-\frac{2 \polylog \left(3, -{\mathrm e}^{b x +a}\right)}{b^{3}}-\frac{2 \ln \left({\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{\ln \left(1+{\mathrm e}^{2 b x +2 a}\right)}{b^{3}}+\frac{\ln \left(1+{\mathrm e}^{b x +a}\right) x^{2}}{b}+\frac{2 \polylog \left(2, -{\mathrm e}^{b x +a}\right) x}{b^{2}}-\frac{x^{2} \ln \left(1+{\mathrm e}^{2 b x +2 a}\right)}{b}-\frac{x \polylog \left(2, -{\mathrm e}^{2 b x +2 a}\right)}{b^{2}}+\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) x^{2}}{b}+\frac{2 \polylog \left(2, {\mathrm e}^{b x +a}\right) x}{b^{2}}+\frac{a^{2} \ln \left({\mathrm e}^{b x +a}-1\right)}{b^{3}}+\frac{\polylog \left(3, -{\mathrm e}^{2 b x +2 a}\right)}{2 b^{3}}-\frac{2 \polylog \left(3, {\mathrm e}^{b x +a}\right)}{b^{3}}-\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) a^{2}}{b^{3}}"," ",0,"2*x*(b*x*exp(2*b*x+2*a)+exp(2*b*x+2*a)+1)/b^2/(1+exp(2*b*x+2*a))^2-2/b^3*polylog(3,-exp(b*x+a))-2/b^3*ln(exp(b*x+a))+1/b^3*ln(1+exp(2*b*x+2*a))+1/b*ln(1+exp(b*x+a))*x^2+2/b^2*polylog(2,-exp(b*x+a))*x-x^2*ln(1+exp(2*b*x+2*a))/b-x*polylog(2,-exp(2*b*x+2*a))/b^2+1/b*ln(1-exp(b*x+a))*x^2+2/b^2*polylog(2,exp(b*x+a))*x+1/b^3*a^2*ln(exp(b*x+a)-1)+1/2*polylog(3,-exp(2*b*x+2*a))/b^3-2/b^3*polylog(3,exp(b*x+a))-1/b^3*ln(1-exp(b*x+a))*a^2","A"
483,1,166,82,0.416000," ","int(x*csch(b*x+a)*sech(b*x+a)^3,x)","\frac{2 b x \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}+1}{b^{2} \left(1+{\mathrm e}^{2 b x +2 a}\right)^{2}}-\frac{x \ln \left(1+{\mathrm e}^{2 b x +2 a}\right)}{b}-\frac{\polylog \left(2, -{\mathrm e}^{2 b x +2 a}\right)}{2 b^{2}}+\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) x}{b}+\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) a}{b^{2}}+\frac{\polylog \left(2, {\mathrm e}^{b x +a}\right)}{b^{2}}+\frac{\ln \left(1+{\mathrm e}^{b x +a}\right) x}{b}+\frac{\polylog \left(2, -{\mathrm e}^{b x +a}\right)}{b^{2}}-\frac{a \ln \left({\mathrm e}^{b x +a}-1\right)}{b^{2}}"," ",0,"(2*b*x*exp(2*b*x+2*a)+exp(2*b*x+2*a)+1)/b^2/(1+exp(2*b*x+2*a))^2-x*ln(1+exp(2*b*x+2*a))/b-1/2*polylog(2,-exp(2*b*x+2*a))/b^2+1/b*ln(1-exp(b*x+a))*x+1/b^2*ln(1-exp(b*x+a))*a+polylog(2,exp(b*x+a))/b^2+1/b*ln(1+exp(b*x+a))*x+polylog(2,-exp(b*x+a))/b^2-1/b^2*a*ln(exp(b*x+a)-1)","B"
484,1,26,25,0.150000," ","int(csch(b*x+a)*sech(b*x+a)^3,x)","\frac{1}{2 b \cosh \left(b x +a \right)^{2}}+\frac{\ln \left(\tanh \left(b x +a \right)\right)}{b}"," ",0,"1/2/b/cosh(b*x+a)^2+ln(tanh(b*x+a))/b","A"
485,0,0,20,1.520000," ","int(csch(b*x+a)*sech(b*x+a)^3/x,x)","\int \frac{\mathrm{csch}\left(b x +a \right) \mathrm{sech}\left(b x +a \right)^{3}}{x}\, dx"," ",0,"int(csch(b*x+a)*sech(b*x+a)^3/x,x)","F"
486,0,0,20,1.671000," ","int(csch(b*x+a)*sech(b*x+a)^3/x^2,x)","\int \frac{\mathrm{csch}\left(b x +a \right) \mathrm{sech}\left(b x +a \right)^{3}}{x^{2}}\, dx"," ",0,"int(csch(b*x+a)*sech(b*x+a)^3/x^2,x)","F"
487,0,0,20,0.165000," ","int(x^m*csch(b*x+a)^2*sech(b*x+a),x)","\int x^{m} \mathrm{csch}\left(b x +a \right)^{2} \mathrm{sech}\left(b x +a \right)\, dx"," ",0,"int(x^m*csch(b*x+a)^2*sech(b*x+a),x)","F"
488,0,0,213,1.553000," ","int(x^3*csch(b*x+a)^2*sech(b*x+a),x)","\int x^{3} \mathrm{csch}\left(b x +a \right)^{2} \mathrm{sech}\left(b x +a \right)\, dx"," ",0,"int(x^3*csch(b*x+a)^2*sech(b*x+a),x)","F"
489,0,0,141,1.771000," ","int(x^2*csch(b*x+a)^2*sech(b*x+a),x)","\int x^{2} \mathrm{csch}\left(b x +a \right)^{2} \mathrm{sech}\left(b x +a \right)\, dx"," ",0,"int(x^2*csch(b*x+a)^2*sech(b*x+a),x)","F"
490,1,179,72,0.495000," ","int(x*csch(b*x+a)^2*sech(b*x+a),x)","-\frac{2 \,{\mathrm e}^{b x +a} x}{b \left({\mathrm e}^{2 b x +2 a}-1\right)}+\frac{2 a \arctan \left({\mathrm e}^{b x +a}\right)}{b^{2}}+\frac{i \ln \left(1+i {\mathrm e}^{b x +a}\right) x}{b}+\frac{i \ln \left(1+i {\mathrm e}^{b x +a}\right) a}{b^{2}}+\frac{i \dilog \left(1+i {\mathrm e}^{b x +a}\right)}{b^{2}}-\frac{i \ln \left(1-i {\mathrm e}^{b x +a}\right) x}{b}-\frac{i \ln \left(1-i {\mathrm e}^{b x +a}\right) a}{b^{2}}-\frac{i \dilog \left(1-i {\mathrm e}^{b x +a}\right)}{b^{2}}-\frac{\ln \left(1+{\mathrm e}^{b x +a}\right)}{b^{2}}+\frac{\ln \left({\mathrm e}^{b x +a}-1\right)}{b^{2}}"," ",0,"-2*exp(b*x+a)*x/b/(exp(2*b*x+2*a)-1)+2/b^2*a*arctan(exp(b*x+a))+I/b*ln(1+I*exp(b*x+a))*x+I/b^2*ln(1+I*exp(b*x+a))*a+I/b^2*dilog(1+I*exp(b*x+a))-I/b*ln(1-I*exp(b*x+a))*x-I/b^2*ln(1-I*exp(b*x+a))*a-I/b^2*dilog(1-I*exp(b*x+a))-1/b^2*ln(1+exp(b*x+a))+1/b^2*ln(exp(b*x+a)-1)","B"
491,1,27,24,0.102000," ","int(csch(b*x+a)^2*sech(b*x+a),x)","-\frac{1}{b \sinh \left(b x +a \right)}-\frac{2 \arctan \left({\mathrm e}^{b x +a}\right)}{b}"," ",0,"-1/b/sinh(b*x+a)-2*arctan(exp(b*x+a))/b","A"
492,0,0,20,1.007000," ","int(csch(b*x+a)^2*sech(b*x+a)/x,x)","\int \frac{\mathrm{csch}\left(b x +a \right)^{2} \mathrm{sech}\left(b x +a \right)}{x}\, dx"," ",0,"int(csch(b*x+a)^2*sech(b*x+a)/x,x)","F"
493,0,0,20,1.104000," ","int(csch(b*x+a)^2*sech(b*x+a)/x^2,x)","\int \frac{\mathrm{csch}\left(b x +a \right)^{2} \mathrm{sech}\left(b x +a \right)}{x^{2}}\, dx"," ",0,"int(csch(b*x+a)^2*sech(b*x+a)/x^2,x)","F"
494,0,0,22,0.167000," ","int(x^m*csch(b*x+a)^2*sech(b*x+a)^2,x)","\int x^{m} \mathrm{csch}\left(b x +a \right)^{2} \mathrm{sech}\left(b x +a \right)^{2}\, dx"," ",0,"int(x^m*csch(b*x+a)^2*sech(b*x+a)^2,x)","F"
495,1,263,81,0.650000," ","int(x^3*csch(b*x+a)^2*sech(b*x+a)^2,x)","-\frac{4 x^{3}}{b \left({\mathrm e}^{2 b x +2 a}-1\right) \left(1+{\mathrm e}^{2 b x +2 a}\right)}-\frac{12 a^{2} \ln \left({\mathrm e}^{b x +a}\right)}{b^{4}}+\frac{3 a^{2} \ln \left({\mathrm e}^{b x +a}-1\right)}{b^{4}}+\frac{8 a^{3}}{b^{4}}-\frac{3 \polylog \left(3, -{\mathrm e}^{2 b x +2 a}\right)}{2 b^{4}}-\frac{6 \polylog \left(3, {\mathrm e}^{b x +a}\right)}{b^{4}}-\frac{6 \polylog \left(3, -{\mathrm e}^{b x +a}\right)}{b^{4}}-\frac{4 x^{3}}{b}-\frac{3 \ln \left(1-{\mathrm e}^{b x +a}\right) a^{2}}{b^{4}}+\frac{3 \ln \left(1-{\mathrm e}^{b x +a}\right) x^{2}}{b^{2}}+\frac{6 x \polylog \left(2, {\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{3 \ln \left(1+{\mathrm e}^{b x +a}\right) x^{2}}{b^{2}}+\frac{6 x \polylog \left(2, -{\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{3 x^{2} \ln \left(1+{\mathrm e}^{2 b x +2 a}\right)}{b^{2}}+\frac{3 x \polylog \left(2, -{\mathrm e}^{2 b x +2 a}\right)}{b^{3}}+\frac{12 a^{2} x}{b^{3}}"," ",0,"-4*x^3/b/(exp(2*b*x+2*a)-1)/(1+exp(2*b*x+2*a))-12/b^4*a^2*ln(exp(b*x+a))+3/b^4*a^2*ln(exp(b*x+a)-1)+8/b^4*a^3-3/2*polylog(3,-exp(2*b*x+2*a))/b^4-6*polylog(3,exp(b*x+a))/b^4-6*polylog(3,-exp(b*x+a))/b^4-4*x^3/b-3/b^4*ln(1-exp(b*x+a))*a^2+3/b^2*ln(1-exp(b*x+a))*x^2+6*x*polylog(2,exp(b*x+a))/b^3+3/b^2*ln(1+exp(b*x+a))*x^2+6*x*polylog(2,-exp(b*x+a))/b^3+3*x^2*ln(1+exp(2*b*x+2*a))/b^2+3*x*polylog(2,-exp(2*b*x+2*a))/b^3+12/b^3*a^2*x","B"
496,1,199,62,0.661000," ","int(x^2*csch(b*x+a)^2*sech(b*x+a)^2,x)","-\frac{4 x^{2}}{b \left({\mathrm e}^{2 b x +2 a}-1\right) \left(1+{\mathrm e}^{2 b x +2 a}\right)}-\frac{4 x^{2}}{b}-\frac{8 a x}{b^{2}}-\frac{4 a^{2}}{b^{3}}+\frac{2 x \ln \left(1+{\mathrm e}^{2 b x +2 a}\right)}{b^{2}}+\frac{\polylog \left(2, -{\mathrm e}^{2 b x +2 a}\right)}{b^{3}}+\frac{2 \ln \left(1-{\mathrm e}^{b x +a}\right) x}{b^{2}}+\frac{2 \ln \left(1-{\mathrm e}^{b x +a}\right) a}{b^{3}}+\frac{2 \polylog \left(2, {\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{2 \ln \left(1+{\mathrm e}^{b x +a}\right) x}{b^{2}}+\frac{2 \polylog \left(2, -{\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{8 a \ln \left({\mathrm e}^{b x +a}\right)}{b^{3}}-\frac{2 a \ln \left({\mathrm e}^{b x +a}-1\right)}{b^{3}}"," ",0,"-4*x^2/b/(exp(2*b*x+2*a)-1)/(1+exp(2*b*x+2*a))-4*x^2/b-8*a*x/b^2-4/b^3*a^2+2*x*ln(1+exp(2*b*x+2*a))/b^2+polylog(2,-exp(2*b*x+2*a))/b^3+2/b^2*ln(1-exp(b*x+a))*x+2/b^3*ln(1-exp(b*x+a))*a+2*polylog(2,exp(b*x+a))/b^3+2/b^2*ln(1+exp(b*x+a))*x+2*polylog(2,-exp(b*x+a))/b^3+8/b^3*a*ln(exp(b*x+a))-2/b^3*a*ln(exp(b*x+a)-1)","B"
497,1,62,30,0.527000," ","int(x*csch(b*x+a)^2*sech(b*x+a)^2,x)","-\frac{4 x}{b}-\frac{4 a}{b^{2}}-\frac{4 x}{b \left({\mathrm e}^{2 b x +2 a}-1\right) \left(1+{\mathrm e}^{2 b x +2 a}\right)}+\frac{\ln \left({\mathrm e}^{4 b x +4 a}-1\right)}{b^{2}}"," ",0,"-4*x/b-4*a/b^2-4*x/b/(exp(2*b*x+2*a)-1)/(1+exp(2*b*x+2*a))+1/b^2*ln(exp(4*b*x+4*a)-1)","B"
498,1,32,23,0.344000," ","int(csch(b*x+a)^2*sech(b*x+a)^2,x)","\frac{-\frac{1}{\sinh \left(b x +a \right) \cosh \left(b x +a \right)}-2 \tanh \left(b x +a \right)}{b}"," ",0,"1/b*(-1/sinh(b*x+a)/cosh(b*x+a)-2*tanh(b*x+a))","A"
499,0,0,19,0.526000," ","int(csch(b*x+a)^2*sech(b*x+a)^2/x,x)","\int \frac{\mathrm{csch}\left(b x +a \right)^{2} \mathrm{sech}\left(b x +a \right)^{2}}{x}\, dx"," ",0,"int(csch(b*x+a)^2*sech(b*x+a)^2/x,x)","F"
500,0,0,19,0.531000," ","int(csch(b*x+a)^2*sech(b*x+a)^2/x^2,x)","\int \frac{\mathrm{csch}\left(b x +a \right)^{2} \mathrm{sech}\left(b x +a \right)^{2}}{x^{2}}\, dx"," ",0,"int(csch(b*x+a)^2*sech(b*x+a)^2/x^2,x)","F"
501,0,0,22,0.209000," ","int(x^m*csch(b*x+a)^2*sech(b*x+a)^3,x)","\int x^{m} \mathrm{csch}\left(b x +a \right)^{2} \mathrm{sech}\left(b x +a \right)^{3}\, dx"," ",0,"int(x^m*csch(b*x+a)^2*sech(b*x+a)^3,x)","F"
502,0,0,186,2.067000," ","int(x^2*csch(b*x+a)^2*sech(b*x+a)^3,x)","\int x^{2} \mathrm{csch}\left(b x +a \right)^{2} \mathrm{sech}\left(b x +a \right)^{3}\, dx"," ",0,"int(x^2*csch(b*x+a)^2*sech(b*x+a)^3,x)","F"
503,1,232,103,0.712000," ","int(x*csch(b*x+a)^2*sech(b*x+a)^3,x)","-\frac{{\mathrm e}^{b x +a} \left(3 b x \,{\mathrm e}^{4 b x +4 a}+2 b x \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{4 b x +4 a}+3 b x -1\right)}{b^{2} \left(1+{\mathrm e}^{2 b x +2 a}\right)^{2} \left({\mathrm e}^{2 b x +2 a}-1\right)}+\frac{\ln \left({\mathrm e}^{b x +a}-1\right)}{b^{2}}-\frac{\ln \left(1+{\mathrm e}^{b x +a}\right)}{b^{2}}+\frac{3 a \arctan \left({\mathrm e}^{b x +a}\right)}{b^{2}}+\frac{3 i \ln \left(1+i {\mathrm e}^{b x +a}\right) x}{2 b}+\frac{3 i \ln \left(1+i {\mathrm e}^{b x +a}\right) a}{2 b^{2}}-\frac{3 i \ln \left(1-i {\mathrm e}^{b x +a}\right) x}{2 b}-\frac{3 i \ln \left(1-i {\mathrm e}^{b x +a}\right) a}{2 b^{2}}-\frac{3 i \dilog \left(1-i {\mathrm e}^{b x +a}\right)}{2 b^{2}}+\frac{3 i \dilog \left(1+i {\mathrm e}^{b x +a}\right)}{2 b^{2}}"," ",0,"-exp(b*x+a)*(3*b*x*exp(4*b*x+4*a)+2*b*x*exp(2*b*x+2*a)+exp(4*b*x+4*a)+3*b*x-1)/b^2/(1+exp(2*b*x+2*a))^2/(exp(2*b*x+2*a)-1)+1/b^2*ln(exp(b*x+a)-1)-1/b^2*ln(1+exp(b*x+a))+3/b^2*a*arctan(exp(b*x+a))+3/2*I/b*ln(1+I*exp(b*x+a))*x+3/2*I/b^2*ln(1+I*exp(b*x+a))*a-3/2*I/b*ln(1-I*exp(b*x+a))*x-3/2*I/b^2*ln(1-I*exp(b*x+a))*a-3/2*I/b^2*dilog(1-I*exp(b*x+a))+3/2*I/b^2*dilog(1+I*exp(b*x+a))","B"
504,1,52,43,0.343000," ","int(csch(b*x+a)^2*sech(b*x+a)^3,x)","-\frac{1}{b \sinh \left(b x +a \right) \cosh \left(b x +a \right)^{2}}-\frac{3 \,\mathrm{sech}\left(b x +a \right) \tanh \left(b x +a \right)}{2 b}-\frac{3 \arctan \left({\mathrm e}^{b x +a}\right)}{b}"," ",0,"-1/b/sinh(b*x+a)/cosh(b*x+a)^2-3/2*sech(b*x+a)*tanh(b*x+a)/b-3*arctan(exp(b*x+a))/b","A"
505,0,0,22,1.243000," ","int(csch(b*x+a)^2*sech(b*x+a)^3/x,x)","\int \frac{\mathrm{csch}\left(b x +a \right)^{2} \mathrm{sech}\left(b x +a \right)^{3}}{x}\, dx"," ",0,"int(csch(b*x+a)^2*sech(b*x+a)^3/x,x)","F"
506,0,0,22,1.361000," ","int(csch(b*x+a)^2*sech(b*x+a)^3/x^2,x)","\int \frac{\mathrm{csch}\left(b x +a \right)^{2} \mathrm{sech}\left(b x +a \right)^{3}}{x^{2}}\, dx"," ",0,"int(csch(b*x+a)^2*sech(b*x+a)^3/x^2,x)","F"
507,0,0,20,0.230000," ","int(x^m*csch(b*x+a)^3*sech(b*x+a),x)","\int x^{m} \mathrm{csch}\left(b x +a \right)^{3} \mathrm{sech}\left(b x +a \right)\, dx"," ",0,"int(x^m*csch(b*x+a)^3*sech(b*x+a),x)","F"
508,1,417,211,0.520000," ","int(x^3*csch(b*x+a)^3*sech(b*x+a),x)","-\frac{x^{2} \left(2 b x \,{\mathrm e}^{2 b x +2 a}+3 \,{\mathrm e}^{2 b x +2 a}-3\right)}{b^{2} \left({\mathrm e}^{2 b x +2 a}-1\right)^{2}}-\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) x^{3}}{b}-\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) a^{3}}{b^{4}}-\frac{3 x^{2} \polylog \left(2, {\mathrm e}^{b x +a}\right)}{b^{2}}-\frac{3 x^{2} \polylog \left(2, -{\mathrm e}^{b x +a}\right)}{b^{2}}+\frac{6 x \polylog \left(3, -{\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{6 x \polylog \left(3, {\mathrm e}^{b x +a}\right)}{b^{3}}-\frac{3 x^{2}}{b^{2}}+\frac{x^{3} \ln \left(1+{\mathrm e}^{2 b x +2 a}\right)}{b}-\frac{3 x \polylog \left(3, -{\mathrm e}^{2 b x +2 a}\right)}{2 b^{3}}+\frac{3 x^{2} \polylog \left(2, -{\mathrm e}^{2 b x +2 a}\right)}{2 b^{2}}-\frac{6 \polylog \left(4, -{\mathrm e}^{b x +a}\right)}{b^{4}}-\frac{6 \polylog \left(4, {\mathrm e}^{b x +a}\right)}{b^{4}}+\frac{3 \ln \left(1-{\mathrm e}^{b x +a}\right) x}{b^{3}}+\frac{3 \ln \left(1-{\mathrm e}^{b x +a}\right) a}{b^{4}}+\frac{3 \ln \left(1+{\mathrm e}^{b x +a}\right) x}{b^{3}}+\frac{6 a \ln \left({\mathrm e}^{b x +a}\right)}{b^{4}}-\frac{3 a \ln \left({\mathrm e}^{b x +a}-1\right)}{b^{4}}-\frac{3 a^{2}}{b^{4}}-\frac{\ln \left(1+{\mathrm e}^{b x +a}\right) x^{3}}{b}-\frac{6 a x}{b^{3}}+\frac{a^{3} \ln \left({\mathrm e}^{b x +a}-1\right)}{b^{4}}+\frac{3 \polylog \left(2, -{\mathrm e}^{b x +a}\right)}{b^{4}}+\frac{3 \polylog \left(4, -{\mathrm e}^{2 b x +2 a}\right)}{4 b^{4}}+\frac{3 \polylog \left(2, {\mathrm e}^{b x +a}\right)}{b^{4}}"," ",0,"-x^2*(2*b*x*exp(2*b*x+2*a)+3*exp(2*b*x+2*a)-3)/b^2/(exp(2*b*x+2*a)-1)^2-1/b*ln(1-exp(b*x+a))*x^3-1/b^4*ln(1-exp(b*x+a))*a^3+3/2*x^2*polylog(2,-exp(2*b*x+2*a))/b^2-3/2*x*polylog(3,-exp(2*b*x+2*a))/b^3+3/4*polylog(4,-exp(2*b*x+2*a))/b^4-6*polylog(4,-exp(b*x+a))/b^4-6*polylog(4,exp(b*x+a))/b^4-3*x^2*polylog(2,-exp(b*x+a))/b^2-3*x^2*polylog(2,exp(b*x+a))/b^2+6*x*polylog(3,-exp(b*x+a))/b^3+6*x*polylog(3,exp(b*x+a))/b^3-3*x^2/b^2+x^3*ln(1+exp(2*b*x+2*a))/b+3*polylog(2,-exp(b*x+a))/b^4+3*polylog(2,exp(b*x+a))/b^4+3/b^3*ln(1-exp(b*x+a))*x+3/b^4*ln(1-exp(b*x+a))*a+3/b^3*ln(1+exp(b*x+a))*x+6/b^4*a*ln(exp(b*x+a))-3/b^4*a*ln(exp(b*x+a)-1)-3/b^4*a^2-1/b*ln(1+exp(b*x+a))*x^3-6*a*x/b^3+1/b^4*a^3*ln(exp(b*x+a)-1)","A"
509,1,266,135,0.515000," ","int(x^2*csch(b*x+a)^3*sech(b*x+a),x)","-\frac{2 x \left(b x \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}-1\right)}{b^{2} \left({\mathrm e}^{2 b x +2 a}-1\right)^{2}}-\frac{2 \ln \left({\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{\ln \left({\mathrm e}^{b x +a}-1\right)}{b^{3}}+\frac{\ln \left(1+{\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{2 \polylog \left(3, -{\mathrm e}^{b x +a}\right)}{b^{3}}-\frac{\polylog \left(3, -{\mathrm e}^{2 b x +2 a}\right)}{2 b^{3}}+\frac{2 \polylog \left(3, {\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{x^{2} \ln \left(1+{\mathrm e}^{2 b x +2 a}\right)}{b}+\frac{x \polylog \left(2, -{\mathrm e}^{2 b x +2 a}\right)}{b^{2}}-\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) x^{2}}{b}-\frac{2 \polylog \left(2, {\mathrm e}^{b x +a}\right) x}{b^{2}}-\frac{\ln \left(1+{\mathrm e}^{b x +a}\right) x^{2}}{b}-\frac{2 \polylog \left(2, -{\mathrm e}^{b x +a}\right) x}{b^{2}}+\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) a^{2}}{b^{3}}-\frac{a^{2} \ln \left({\mathrm e}^{b x +a}-1\right)}{b^{3}}"," ",0,"-2*x*(b*x*exp(2*b*x+2*a)+exp(2*b*x+2*a)-1)/b^2/(exp(2*b*x+2*a)-1)^2-2/b^3*ln(exp(b*x+a))+1/b^3*ln(exp(b*x+a)-1)+1/b^3*ln(1+exp(b*x+a))+2/b^3*polylog(3,-exp(b*x+a))-1/2*polylog(3,-exp(2*b*x+2*a))/b^3+2/b^3*polylog(3,exp(b*x+a))+x^2*ln(1+exp(2*b*x+2*a))/b+x*polylog(2,-exp(2*b*x+2*a))/b^2-1/b*ln(1-exp(b*x+a))*x^2-2/b^2*polylog(2,exp(b*x+a))*x-1/b*ln(1+exp(b*x+a))*x^2-2/b^2*polylog(2,-exp(b*x+a))*x+1/b^3*ln(1-exp(b*x+a))*a^2-1/b^3*a^2*ln(exp(b*x+a)-1)","A"
510,1,170,82,0.410000," ","int(x*csch(b*x+a)^3*sech(b*x+a),x)","-\frac{2 b x \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{2 b x +2 a}-1}{b^{2} \left({\mathrm e}^{2 b x +2 a}-1\right)^{2}}+\frac{x \ln \left(1+{\mathrm e}^{2 b x +2 a}\right)}{b}+\frac{\polylog \left(2, -{\mathrm e}^{2 b x +2 a}\right)}{2 b^{2}}-\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) x}{b}-\frac{\ln \left(1-{\mathrm e}^{b x +a}\right) a}{b^{2}}-\frac{\polylog \left(2, {\mathrm e}^{b x +a}\right)}{b^{2}}-\frac{\ln \left(1+{\mathrm e}^{b x +a}\right) x}{b}-\frac{\polylog \left(2, -{\mathrm e}^{b x +a}\right)}{b^{2}}+\frac{a \ln \left({\mathrm e}^{b x +a}-1\right)}{b^{2}}"," ",0,"-(2*b*x*exp(2*b*x+2*a)+exp(2*b*x+2*a)-1)/b^2/(exp(2*b*x+2*a)-1)^2+x*ln(1+exp(2*b*x+2*a))/b+1/2*polylog(2,-exp(2*b*x+2*a))/b^2-1/b*ln(1-exp(b*x+a))*x-1/b^2*ln(1-exp(b*x+a))*a-polylog(2,exp(b*x+a))/b^2-1/b*ln(1+exp(b*x+a))*x-polylog(2,-exp(b*x+a))/b^2+1/b^2*a*ln(exp(b*x+a)-1)","B"
511,1,27,26,0.175000," ","int(csch(b*x+a)^3*sech(b*x+a),x)","-\frac{1}{2 b \sinh \left(b x +a \right)^{2}}-\frac{\ln \left(\tanh \left(b x +a \right)\right)}{b}"," ",0,"-1/2/b/sinh(b*x+a)^2-ln(tanh(b*x+a))/b","A"
512,0,0,20,1.501000," ","int(csch(b*x+a)^3*sech(b*x+a)/x,x)","\int \frac{\mathrm{csch}\left(b x +a \right)^{3} \mathrm{sech}\left(b x +a \right)}{x}\, dx"," ",0,"int(csch(b*x+a)^3*sech(b*x+a)/x,x)","F"
513,0,0,20,1.730000," ","int(csch(b*x+a)^3*sech(b*x+a)/x^2,x)","\int \frac{\mathrm{csch}\left(b x +a \right)^{3} \mathrm{sech}\left(b x +a \right)}{x^{2}}\, dx"," ",0,"int(csch(b*x+a)^3*sech(b*x+a)/x^2,x)","F"
514,0,0,22,0.238000," ","int(x^m*csch(b*x+a)^3*sech(b*x+a)^2,x)","\int x^{m} \mathrm{csch}\left(b x +a \right)^{3} \mathrm{sech}\left(b x +a \right)^{2}\, dx"," ",0,"int(x^m*csch(b*x+a)^3*sech(b*x+a)^2,x)","F"
515,0,0,284,2.102000," ","int(x^3*csch(b*x+a)^3*sech(b*x+a)^2,x)","\int x^{3} \mathrm{csch}\left(b x +a \right)^{3} \mathrm{sech}\left(b x +a \right)^{2}\, dx"," ",0,"int(x^3*csch(b*x+a)^3*sech(b*x+a)^2,x)","F"
516,0,0,181,1.938000," ","int(x^2*csch(b*x+a)^3*sech(b*x+a)^2,x)","\int x^{2} \mathrm{csch}\left(b x +a \right)^{3} \mathrm{sech}\left(b x +a \right)^{2}\, dx"," ",0,"int(x^2*csch(b*x+a)^3*sech(b*x+a)^2,x)","F"
517,1,148,96,0.559000," ","int(x*csch(b*x+a)^3*sech(b*x+a)^2,x)","-\frac{{\mathrm e}^{b x +a} \left(3 b x \,{\mathrm e}^{4 b x +4 a}-2 b x \,{\mathrm e}^{2 b x +2 a}+{\mathrm e}^{4 b x +4 a}+3 b x -1\right)}{b^{2} \left(1+{\mathrm e}^{2 b x +2 a}\right) \left({\mathrm e}^{2 b x +2 a}-1\right)^{2}}+\frac{2 \arctan \left({\mathrm e}^{b x +a}\right)}{b^{2}}+\frac{3 a \ln \left({\mathrm e}^{b x +a}-1\right)}{2 b^{2}}+\frac{3 \dilog \left({\mathrm e}^{b x +a}\right)}{2 b^{2}}+\frac{3 \dilog \left(1+{\mathrm e}^{b x +a}\right)}{2 b^{2}}+\frac{3 \ln \left(1+{\mathrm e}^{b x +a}\right) x}{2 b}"," ",0,"-exp(b*x+a)*(3*b*x*exp(4*b*x+4*a)-2*b*x*exp(2*b*x+2*a)+exp(4*b*x+4*a)+3*b*x-1)/b^2/(1+exp(2*b*x+2*a))/(exp(2*b*x+2*a)-1)^2+2/b^2*arctan(exp(b*x+a))+3/2/b^2*a*ln(exp(b*x+a)-1)+3/2/b^2*dilog(exp(b*x+a))+3/2/b^2*dilog(1+exp(b*x+a))+3/2/b*ln(1+exp(b*x+a))*x","A"
518,1,43,43,0.201000," ","int(csch(b*x+a)^3*sech(b*x+a)^2,x)","\frac{-\frac{1}{2 \sinh \left(b x +a \right)^{2} \cosh \left(b x +a \right)}-\frac{3}{2 \cosh \left(b x +a \right)}+3 \arctanh \left({\mathrm e}^{b x +a}\right)}{b}"," ",0,"1/b*(-1/2/sinh(b*x+a)^2/cosh(b*x+a)-3/2/cosh(b*x+a)+3*arctanh(exp(b*x+a)))","A"
519,0,0,22,1.272000," ","int(csch(b*x+a)^3*sech(b*x+a)^2/x,x)","\int \frac{\mathrm{csch}\left(b x +a \right)^{3} \mathrm{sech}\left(b x +a \right)^{2}}{x}\, dx"," ",0,"int(csch(b*x+a)^3*sech(b*x+a)^2/x,x)","F"
520,0,0,22,1.392000," ","int(csch(b*x+a)^3*sech(b*x+a)^2/x^2,x)","\int \frac{\mathrm{csch}\left(b x +a \right)^{3} \mathrm{sech}\left(b x +a \right)^{2}}{x^{2}}\, dx"," ",0,"int(csch(b*x+a)^3*sech(b*x+a)^2/x^2,x)","F"
521,0,0,22,0.271000," ","int(x^m*csch(b*x+a)^3*sech(b*x+a)^3,x)","\int x^{m} \mathrm{csch}\left(b x +a \right)^{3} \mathrm{sech}\left(b x +a \right)^{3}\, dx"," ",0,"int(x^m*csch(b*x+a)^3*sech(b*x+a)^3,x)","F"
522,1,445,222,0.486000," ","int(x^3*csch(b*x+a)^3*sech(b*x+a)^3,x)","-\frac{2 x^{2} {\mathrm e}^{2 b x +2 a} \left(2 b x \,{\mathrm e}^{4 b x +4 a}+3 \,{\mathrm e}^{4 b x +4 a}+2 b x -3\right)}{b^{2} \left({\mathrm e}^{2 b x +2 a}-1\right)^{2} \left(1+{\mathrm e}^{2 b x +2 a}\right)^{2}}+\frac{3 \polylog \left(2, {\mathrm e}^{b x +a}\right)}{b^{4}}-\frac{12 \polylog \left(4, {\mathrm e}^{b x +a}\right)}{b^{4}}+\frac{3 \polylog \left(2, -{\mathrm e}^{b x +a}\right)}{b^{4}}-\frac{2 \ln \left(1-{\mathrm e}^{b x +a}\right) x^{3}}{b}-\frac{6 x^{2} \polylog \left(2, {\mathrm e}^{b x +a}\right)}{b^{2}}+\frac{12 x \polylog \left(3, {\mathrm e}^{b x +a}\right)}{b^{3}}-\frac{2 \ln \left(1+{\mathrm e}^{b x +a}\right) x^{3}}{b}-\frac{6 x^{2} \polylog \left(2, -{\mathrm e}^{b x +a}\right)}{b^{2}}+\frac{12 x \polylog \left(3, -{\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{3 \ln \left(1-{\mathrm e}^{b x +a}\right) a}{b^{4}}+\frac{3 \polylog \left(4, -{\mathrm e}^{2 b x +2 a}\right)}{2 b^{4}}-\frac{3 \polylog \left(2, -{\mathrm e}^{2 b x +2 a}\right)}{2 b^{4}}-\frac{12 \polylog \left(4, -{\mathrm e}^{b x +a}\right)}{b^{4}}-\frac{2 \ln \left(1-{\mathrm e}^{b x +a}\right) a^{3}}{b^{4}}+\frac{2 a^{3} \ln \left({\mathrm e}^{b x +a}-1\right)}{b^{4}}-\frac{3 a \ln \left({\mathrm e}^{b x +a}-1\right)}{b^{4}}-\frac{3 x \ln \left(1+{\mathrm e}^{2 b x +2 a}\right)}{b^{3}}-\frac{3 x \polylog \left(3, -{\mathrm e}^{2 b x +2 a}\right)}{b^{3}}+\frac{3 \ln \left(1-{\mathrm e}^{b x +a}\right) x}{b^{3}}+\frac{3 \ln \left(1+{\mathrm e}^{b x +a}\right) x}{b^{3}}+\frac{2 x^{3} \ln \left(1+{\mathrm e}^{2 b x +2 a}\right)}{b}+\frac{3 x^{2} \polylog \left(2, -{\mathrm e}^{2 b x +2 a}\right)}{b^{2}}"," ",0,"-2*x^2*exp(2*b*x+2*a)*(2*b*x*exp(4*b*x+4*a)+3*exp(4*b*x+4*a)+2*b*x-3)/b^2/(exp(2*b*x+2*a)-1)^2/(1+exp(2*b*x+2*a))^2+3*polylog(2,exp(b*x+a))/b^4-12*polylog(4,exp(b*x+a))/b^4+3*polylog(2,-exp(b*x+a))/b^4-2/b*ln(1-exp(b*x+a))*x^3-6*x^2*polylog(2,exp(b*x+a))/b^2+12*x*polylog(3,exp(b*x+a))/b^3-2/b*ln(1+exp(b*x+a))*x^3-6*x^2*polylog(2,-exp(b*x+a))/b^2+12*x*polylog(3,-exp(b*x+a))/b^3+3/b^4*ln(1-exp(b*x+a))*a+3/2*polylog(4,-exp(2*b*x+2*a))/b^4-3/2*polylog(2,-exp(2*b*x+2*a))/b^4-12*polylog(4,-exp(b*x+a))/b^4-2/b^4*ln(1-exp(b*x+a))*a^3+2/b^4*a^3*ln(exp(b*x+a)-1)-3/b^4*a*ln(exp(b*x+a)-1)-3*x*ln(1+exp(2*b*x+2*a))/b^3-3*x*polylog(3,-exp(2*b*x+2*a))/b^3+3/b^3*ln(1-exp(b*x+a))*x+3/b^3*ln(1+exp(b*x+a))*x+2*x^3*ln(1+exp(2*b*x+2*a))/b+3*x^2*polylog(2,-exp(2*b*x+2*a))/b^2","A"
523,1,299,144,0.467000," ","int(x^2*csch(b*x+a)^3*sech(b*x+a)^3,x)","-\frac{4 x \,{\mathrm e}^{2 b x +2 a} \left(b x \,{\mathrm e}^{4 b x +4 a}+{\mathrm e}^{4 b x +4 a}+b x -1\right)}{b^{2} \left({\mathrm e}^{2 b x +2 a}-1\right)^{2} \left(1+{\mathrm e}^{2 b x +2 a}\right)^{2}}-\frac{\polylog \left(3, -{\mathrm e}^{2 b x +2 a}\right)}{b^{3}}+\frac{4 \polylog \left(3, {\mathrm e}^{b x +a}\right)}{b^{3}}+\frac{4 \polylog \left(3, -{\mathrm e}^{b x +a}\right)}{b^{3}}-\frac{2 a^{2} \ln \left({\mathrm e}^{b x +a}-1\right)}{b^{3}}+\frac{\ln \left({\mathrm e}^{b x +a}-1\right)}{b^{3}}-\frac{\ln \left(1+{\mathrm e}^{2 b x +2 a}\right)}{b^{3}}+\frac{\ln \left(1+{\mathrm e}^{b x +a}\right)}{b^{3}}-\frac{4 \polylog \left(2, {\mathrm e}^{b x +a}\right) x}{b^{2}}-\frac{2 \ln \left(1+{\mathrm e}^{b x +a}\right) x^{2}}{b}-\frac{4 \polylog \left(2, -{\mathrm e}^{b x +a}\right) x}{b^{2}}+\frac{2 x^{2} \ln \left(1+{\mathrm e}^{2 b x +2 a}\right)}{b}+\frac{2 x \polylog \left(2, -{\mathrm e}^{2 b x +2 a}\right)}{b^{2}}-\frac{2 \ln \left(1-{\mathrm e}^{b x +a}\right) x^{2}}{b}+\frac{2 \ln \left(1-{\mathrm e}^{b x +a}\right) a^{2}}{b^{3}}"," ",0,"-4*x*exp(2*b*x+2*a)*(b*x*exp(4*b*x+4*a)+exp(4*b*x+4*a)+b*x-1)/b^2/(exp(2*b*x+2*a)-1)^2/(1+exp(2*b*x+2*a))^2-polylog(3,-exp(2*b*x+2*a))/b^3+4/b^3*polylog(3,exp(b*x+a))+4/b^3*polylog(3,-exp(b*x+a))-2/b^3*a^2*ln(exp(b*x+a)-1)+1/b^3*ln(exp(b*x+a)-1)-1/b^3*ln(1+exp(2*b*x+2*a))+1/b^3*ln(1+exp(b*x+a))-4/b^2*polylog(2,exp(b*x+a))*x-2/b*ln(1+exp(b*x+a))*x^2-4/b^2*polylog(2,-exp(b*x+a))*x+2*x^2*ln(1+exp(2*b*x+2*a))/b+2*x*polylog(2,-exp(2*b*x+2*a))/b^2-2/b*ln(1-exp(b*x+a))*x^2+2/b^3*ln(1-exp(b*x+a))*a^2","B"
524,1,197,88,0.470000," ","int(x*csch(b*x+a)^3*sech(b*x+a)^3,x)","-\frac{2 \,{\mathrm e}^{2 b x +2 a} \left(2 b x \,{\mathrm e}^{4 b x +4 a}+{\mathrm e}^{4 b x +4 a}+2 b x -1\right)}{b^{2} \left(1+{\mathrm e}^{2 b x +2 a}\right)^{2} \left({\mathrm e}^{2 b x +2 a}-1\right)^{2}}+\frac{2 x \ln \left(1+{\mathrm e}^{2 b x +2 a}\right)}{b}+\frac{\polylog \left(2, -{\mathrm e}^{2 b x +2 a}\right)}{b^{2}}-\frac{2 \ln \left(1-{\mathrm e}^{b x +a}\right) x}{b}-\frac{2 \ln \left(1-{\mathrm e}^{b x +a}\right) a}{b^{2}}-\frac{2 \polylog \left(2, {\mathrm e}^{b x +a}\right)}{b^{2}}-\frac{2 \ln \left(1+{\mathrm e}^{b x +a}\right) x}{b}-\frac{2 \polylog \left(2, -{\mathrm e}^{b x +a}\right)}{b^{2}}+\frac{2 a \ln \left({\mathrm e}^{b x +a}-1\right)}{b^{2}}"," ",0,"-2*exp(2*b*x+2*a)*(2*b*x*exp(4*b*x+4*a)+exp(4*b*x+4*a)+2*b*x-1)/b^2/(1+exp(2*b*x+2*a))^2/(exp(2*b*x+2*a)-1)^2+2*x*ln(1+exp(2*b*x+2*a))/b+polylog(2,-exp(2*b*x+2*a))/b^2-2/b*ln(1-exp(b*x+a))*x-2/b^2*ln(1-exp(b*x+a))*a-2*polylog(2,exp(b*x+a))/b^2-2/b*ln(1+exp(b*x+a))*x-2*polylog(2,-exp(b*x+a))/b^2+2/b^2*a*ln(exp(b*x+a)-1)","B"
525,1,48,39,0.231000," ","int(csch(b*x+a)^3*sech(b*x+a)^3,x)","-\frac{1}{2 b \sinh \left(b x +a \right)^{2} \cosh \left(b x +a \right)^{2}}-\frac{1}{b \cosh \left(b x +a \right)^{2}}-\frac{2 \ln \left(\tanh \left(b x +a \right)\right)}{b}"," ",0,"-1/2/b/sinh(b*x+a)^2/cosh(b*x+a)^2-1/b/cosh(b*x+a)^2-2*ln(tanh(b*x+a))/b","A"
526,0,0,19,1.561000," ","int(csch(b*x+a)^3*sech(b*x+a)^3/x,x)","\int \frac{\mathrm{csch}\left(b x +a \right)^{3} \mathrm{sech}\left(b x +a \right)^{3}}{x}\, dx"," ",0,"int(csch(b*x+a)^3*sech(b*x+a)^3/x,x)","F"
527,0,0,19,1.697000," ","int(csch(b*x+a)^3*sech(b*x+a)^3/x^2,x)","\int \frac{\mathrm{csch}\left(b x +a \right)^{3} \mathrm{sech}\left(b x +a \right)^{3}}{x^{2}}\, dx"," ",0,"int(csch(b*x+a)^3*sech(b*x+a)^3/x^2,x)","F"
528,0,0,99,0.177000," ","int(x*cosh(b*x+a)^(5/2)*sinh(b*x+a),x)","\int x \left(\cosh^{\frac{5}{2}}\left(b x +a \right)\right) \sinh \left(b x +a \right)\, dx"," ",0,"int(x*cosh(b*x+a)^(5/2)*sinh(b*x+a),x)","F"
529,0,0,80,0.141000," ","int(x*cosh(b*x+a)^(3/2)*sinh(b*x+a),x)","\int x \left(\cosh^{\frac{3}{2}}\left(b x +a \right)\right) \sinh \left(b x +a \right)\, dx"," ",0,"int(x*cosh(b*x+a)^(3/2)*sinh(b*x+a),x)","F"
530,0,0,80,0.108000," ","int(x*sinh(b*x+a)*cosh(b*x+a)^(1/2),x)","\int x \sinh \left(b x +a \right) \left(\sqrt{\cosh}\left(b x +a \right)\right)\, dx"," ",0,"int(x*sinh(b*x+a)*cosh(b*x+a)^(1/2),x)","F"
531,1,250,61,0.152000," ","int(x*sinh(b*x+a)/cosh(b*x+a)^(1/2),x)","\frac{\left(b x -2\right) \left(1+{\mathrm e}^{2 b x +2 a}\right) \sqrt{2}\, {\mathrm e}^{-b x -a}}{b^{2} \sqrt{{\mathrm e}^{-b x -a} \left(1+{\mathrm e}^{2 b x +2 a}\right)}}-\frac{2 \left(-\frac{2 \left(1+{\mathrm e}^{2 b x +2 a}\right)}{\sqrt{\left(1+{\mathrm e}^{2 b x +2 a}\right) {\mathrm e}^{b x +a}}}+\frac{i \sqrt{-i \left({\mathrm e}^{b x +a}+i\right)}\, \sqrt{2}\, \sqrt{i \left({\mathrm e}^{b x +a}-i\right)}\, \sqrt{i {\mathrm e}^{b x +a}}\, \left(-2 i \EllipticE \left(\sqrt{-i \left({\mathrm e}^{b x +a}+i\right)}, \frac{\sqrt{2}}{2}\right)+i \EllipticF \left(\sqrt{-i \left({\mathrm e}^{b x +a}+i\right)}, \frac{\sqrt{2}}{2}\right)\right)}{\sqrt{{\mathrm e}^{3 b x +3 a}+{\mathrm e}^{b x +a}}}\right) \sqrt{2}\, \sqrt{\left(1+{\mathrm e}^{2 b x +2 a}\right) {\mathrm e}^{b x +a}}\, {\mathrm e}^{-b x -a}}{b^{2} \sqrt{{\mathrm e}^{-b x -a} \left(1+{\mathrm e}^{2 b x +2 a}\right)}}"," ",0,"(b*x-2)*(exp(b*x+a)^2+1)/b^2*2^(1/2)/((exp(b*x+a)^2+1)/exp(b*x+a))^(1/2)/exp(b*x+a)-2/b^2*(-2*(exp(b*x+a)^2+1)/((exp(b*x+a)^2+1)*exp(b*x+a))^(1/2)+I*(-I*(exp(b*x+a)+I))^(1/2)*2^(1/2)*(I*(exp(b*x+a)-I))^(1/2)*(I*exp(b*x+a))^(1/2)/(exp(b*x+a)^3+exp(b*x+a))^(1/2)*(-2*I*EllipticE((-I*(exp(b*x+a)+I))^(1/2),1/2*2^(1/2))+I*EllipticF((-I*(exp(b*x+a)+I))^(1/2),1/2*2^(1/2))))*2^(1/2)/((exp(b*x+a)^2+1)/exp(b*x+a))^(1/2)*((exp(b*x+a)^2+1)*exp(b*x+a))^(1/2)/exp(b*x+a)","B"
532,0,0,61,0.114000," ","int(x*sinh(b*x+a)/cosh(b*x+a)^(3/2),x)","\int \frac{x \sinh \left(b x +a \right)}{\cosh \left(b x +a \right)^{\frac{3}{2}}}\, dx"," ",0,"int(x*sinh(b*x+a)/cosh(b*x+a)^(3/2),x)","F"
533,0,0,80,0.113000," ","int(x*sinh(b*x+a)/cosh(b*x+a)^(5/2),x)","\int \frac{x \sinh \left(b x +a \right)}{\cosh \left(b x +a \right)^{\frac{5}{2}}}\, dx"," ",0,"int(x*sinh(b*x+a)/cosh(b*x+a)^(5/2),x)","F"
534,0,0,80,0.114000," ","int(x*sinh(b*x+a)/cosh(b*x+a)^(7/2),x)","\int \frac{x \sinh \left(b x +a \right)}{\cosh \left(b x +a \right)^{\frac{7}{2}}}\, dx"," ",0,"int(x*sinh(b*x+a)/cosh(b*x+a)^(7/2),x)","F"
535,0,0,99,0.112000," ","int(x*sinh(b*x+a)/cosh(b*x+a)^(9/2),x)","\int \frac{x \sinh \left(b x +a \right)}{\cosh \left(b x +a \right)^{\frac{9}{2}}}\, dx"," ",0,"int(x*sinh(b*x+a)/cosh(b*x+a)^(9/2),x)","F"
536,0,0,115,0.172000," ","int(x*sech(b*x+a)^(9/2)*sinh(b*x+a),x)","\int x \mathrm{sech}\left(b x +a \right)^{\frac{9}{2}} \sinh \left(b x +a \right)\, dx"," ",0,"int(x*sech(b*x+a)^(9/2)*sinh(b*x+a),x)","F"
537,0,0,96,0.151000," ","int(x*sech(b*x+a)^(7/2)*sinh(b*x+a),x)","\int x \mathrm{sech}\left(b x +a \right)^{\frac{7}{2}} \sinh \left(b x +a \right)\, dx"," ",0,"int(x*sech(b*x+a)^(7/2)*sinh(b*x+a),x)","F"
538,0,0,96,0.148000," ","int(x*sech(b*x+a)^(5/2)*sinh(b*x+a),x)","\int x \mathrm{sech}\left(b x +a \right)^{\frac{5}{2}} \sinh \left(b x +a \right)\, dx"," ",0,"int(x*sech(b*x+a)^(5/2)*sinh(b*x+a),x)","F"
539,0,0,77,0.152000," ","int(x*sech(b*x+a)^(3/2)*sinh(b*x+a),x)","\int x \mathrm{sech}\left(b x +a \right)^{\frac{3}{2}} \sinh \left(b x +a \right)\, dx"," ",0,"int(x*sech(b*x+a)^(3/2)*sinh(b*x+a),x)","F"
540,1,250,77,0.166000," ","int(x*sech(b*x+a)^(1/2)*sinh(b*x+a),x)","\frac{\left(b x -2\right) \left(1+{\mathrm e}^{2 b x +2 a}\right) \sqrt{2}\, \sqrt{\frac{{\mathrm e}^{b x +a}}{1+{\mathrm e}^{2 b x +2 a}}}\, {\mathrm e}^{-b x -a}}{b^{2}}-\frac{2 \left(-\frac{2 \left(1+{\mathrm e}^{2 b x +2 a}\right)}{\sqrt{\left(1+{\mathrm e}^{2 b x +2 a}\right) {\mathrm e}^{b x +a}}}+\frac{i \sqrt{-i \left({\mathrm e}^{b x +a}+i\right)}\, \sqrt{2}\, \sqrt{i \left({\mathrm e}^{b x +a}-i\right)}\, \sqrt{i {\mathrm e}^{b x +a}}\, \left(-2 i \EllipticE \left(\sqrt{-i \left({\mathrm e}^{b x +a}+i\right)}, \frac{\sqrt{2}}{2}\right)+i \EllipticF \left(\sqrt{-i \left({\mathrm e}^{b x +a}+i\right)}, \frac{\sqrt{2}}{2}\right)\right)}{\sqrt{{\mathrm e}^{3 b x +3 a}+{\mathrm e}^{b x +a}}}\right) \sqrt{2}\, \sqrt{\frac{{\mathrm e}^{b x +a}}{1+{\mathrm e}^{2 b x +2 a}}}\, \sqrt{\left(1+{\mathrm e}^{2 b x +2 a}\right) {\mathrm e}^{b x +a}}\, {\mathrm e}^{-b x -a}}{b^{2}}"," ",0,"(b*x-2)*(exp(b*x+a)^2+1)/b^2*2^(1/2)*(exp(b*x+a)/(exp(b*x+a)^2+1))^(1/2)/exp(b*x+a)-2/b^2*(-2*(exp(b*x+a)^2+1)/((exp(b*x+a)^2+1)*exp(b*x+a))^(1/2)+I*(-I*(exp(b*x+a)+I))^(1/2)*2^(1/2)*(I*(exp(b*x+a)-I))^(1/2)*(I*exp(b*x+a))^(1/2)/(exp(b*x+a)^3+exp(b*x+a))^(1/2)*(-2*I*EllipticE((-I*(exp(b*x+a)+I))^(1/2),1/2*2^(1/2))+I*EllipticF((-I*(exp(b*x+a)+I))^(1/2),1/2*2^(1/2))))*2^(1/2)*(exp(b*x+a)/(exp(b*x+a)^2+1))^(1/2)*((exp(b*x+a)^2+1)*exp(b*x+a))^(1/2)/exp(b*x+a)","B"
541,0,0,96,0.141000," ","int(x*sinh(b*x+a)/sech(b*x+a)^(1/2),x)","\int \frac{x \sinh \left(b x +a \right)}{\sqrt{\mathrm{sech}\left(b x +a \right)}}\, dx"," ",0,"int(x*sinh(b*x+a)/sech(b*x+a)^(1/2),x)","F"
542,0,0,96,0.182000," ","int(x*sinh(b*x+a)/sech(b*x+a)^(3/2),x)","\int \frac{x \sinh \left(b x +a \right)}{\mathrm{sech}\left(b x +a \right)^{\frac{3}{2}}}\, dx"," ",0,"int(x*sinh(b*x+a)/sech(b*x+a)^(3/2),x)","F"
543,0,0,115,0.171000," ","int(x*sinh(b*x+a)/sech(b*x+a)^(5/2),x)","\int \frac{x \sinh \left(b x +a \right)}{\mathrm{sech}\left(b x +a \right)^{\frac{5}{2}}}\, dx"," ",0,"int(x*sinh(b*x+a)/sech(b*x+a)^(5/2),x)","F"
544,0,0,130,0.142000," ","int(x*cosh(b*x+a)*sinh(b*x+a)^(5/2),x)","\int x \cosh \left(b x +a \right) \left(\sinh^{\frac{5}{2}}\left(b x +a \right)\right)\, dx"," ",0,"int(x*cosh(b*x+a)*sinh(b*x+a)^(5/2),x)","F"
545,0,0,111,0.130000," ","int(x*cosh(b*x+a)*sinh(b*x+a)^(3/2),x)","\int x \cosh \left(b x +a \right) \left(\sinh^{\frac{3}{2}}\left(b x +a \right)\right)\, dx"," ",0,"int(x*cosh(b*x+a)*sinh(b*x+a)^(3/2),x)","F"
546,0,0,111,0.105000," ","int(x*cosh(b*x+a)*sinh(b*x+a)^(1/2),x)","\int x \cosh \left(b x +a \right) \left(\sqrt{\sinh}\left(b x +a \right)\right)\, dx"," ",0,"int(x*cosh(b*x+a)*sinh(b*x+a)^(1/2),x)","F"
547,1,229,92,0.165000," ","int(x*cosh(b*x+a)/sinh(b*x+a)^(1/2),x)","\frac{\left(b x -2\right) \left({\mathrm e}^{2 b x +2 a}-1\right) \sqrt{2}\, {\mathrm e}^{-b x -a}}{b^{2} \sqrt{\left({\mathrm e}^{2 b x +2 a}-1\right) {\mathrm e}^{-b x -a}}}+\frac{2 \left(\frac{2 \,{\mathrm e}^{2 b x +2 a}-2}{\sqrt{\left({\mathrm e}^{2 b x +2 a}-1\right) {\mathrm e}^{b x +a}}}-\frac{\sqrt{1+{\mathrm e}^{b x +a}}\, \sqrt{2-2 \,{\mathrm e}^{b x +a}}\, \sqrt{-{\mathrm e}^{b x +a}}\, \left(-2 \EllipticE \left(\sqrt{1+{\mathrm e}^{b x +a}}, \frac{\sqrt{2}}{2}\right)+\EllipticF \left(\sqrt{1+{\mathrm e}^{b x +a}}, \frac{\sqrt{2}}{2}\right)\right)}{\sqrt{{\mathrm e}^{3 b x +3 a}-{\mathrm e}^{b x +a}}}\right) \sqrt{2}\, \sqrt{\left({\mathrm e}^{2 b x +2 a}-1\right) {\mathrm e}^{b x +a}}\, {\mathrm e}^{-b x -a}}{b^{2} \sqrt{\left({\mathrm e}^{2 b x +2 a}-1\right) {\mathrm e}^{-b x -a}}}"," ",0,"(b*x-2)*(exp(b*x+a)^2-1)/b^2*2^(1/2)/((exp(b*x+a)^2-1)/exp(b*x+a))^(1/2)/exp(b*x+a)+2/b^2*(2*(exp(b*x+a)^2-1)/((exp(b*x+a)^2-1)*exp(b*x+a))^(1/2)-(1+exp(b*x+a))^(1/2)*(2-2*exp(b*x+a))^(1/2)*(-exp(b*x+a))^(1/2)/(exp(b*x+a)^3-exp(b*x+a))^(1/2)*(-2*EllipticE((1+exp(b*x+a))^(1/2),1/2*2^(1/2))+EllipticF((1+exp(b*x+a))^(1/2),1/2*2^(1/2))))*2^(1/2)/((exp(b*x+a)^2-1)/exp(b*x+a))^(1/2)*((exp(b*x+a)^2-1)*exp(b*x+a))^(1/2)/exp(b*x+a)","B"
548,0,0,92,0.097000," ","int(x*cosh(b*x+a)/sinh(b*x+a)^(3/2),x)","\int \frac{x \cosh \left(b x +a \right)}{\sinh \left(b x +a \right)^{\frac{3}{2}}}\, dx"," ",0,"int(x*cosh(b*x+a)/sinh(b*x+a)^(3/2),x)","F"
549,0,0,111,0.112000," ","int(x*cosh(b*x+a)/sinh(b*x+a)^(5/2),x)","\int \frac{x \cosh \left(b x +a \right)}{\sinh \left(b x +a \right)^{\frac{5}{2}}}\, dx"," ",0,"int(x*cosh(b*x+a)/sinh(b*x+a)^(5/2),x)","F"
550,0,0,111,0.123000," ","int(x*cosh(b*x+a)/sinh(b*x+a)^(7/2),x)","\int \frac{x \cosh \left(b x +a \right)}{\sinh \left(b x +a \right)^{\frac{7}{2}}}\, dx"," ",0,"int(x*cosh(b*x+a)/sinh(b*x+a)^(7/2),x)","F"
551,0,0,130,0.109000," ","int(x*cosh(b*x+a)/sinh(b*x+a)^(9/2),x)","\int \frac{x \cosh \left(b x +a \right)}{\sinh \left(b x +a \right)^{\frac{9}{2}}}\, dx"," ",0,"int(x*cosh(b*x+a)/sinh(b*x+a)^(9/2),x)","F"
552,0,0,130,0.237000," ","int(x*cosh(b*x+a)*csch(b*x+a)^(9/2),x)","\int x \cosh \left(b x +a \right) \mathrm{csch}\left(b x +a \right)^{\frac{9}{2}}\, dx"," ",0,"int(x*cosh(b*x+a)*csch(b*x+a)^(9/2),x)","F"
553,0,0,111,0.211000," ","int(x*cosh(b*x+a)*csch(b*x+a)^(7/2),x)","\int x \cosh \left(b x +a \right) \mathrm{csch}\left(b x +a \right)^{\frac{7}{2}}\, dx"," ",0,"int(x*cosh(b*x+a)*csch(b*x+a)^(7/2),x)","F"
554,0,0,111,0.213000," ","int(x*cosh(b*x+a)*csch(b*x+a)^(5/2),x)","\int x \cosh \left(b x +a \right) \mathrm{csch}\left(b x +a \right)^{\frac{5}{2}}\, dx"," ",0,"int(x*cosh(b*x+a)*csch(b*x+a)^(5/2),x)","F"
555,0,0,92,0.211000," ","int(x*cosh(b*x+a)*csch(b*x+a)^(3/2),x)","\int x \cosh \left(b x +a \right) \mathrm{csch}\left(b x +a \right)^{\frac{3}{2}}\, dx"," ",0,"int(x*cosh(b*x+a)*csch(b*x+a)^(3/2),x)","F"
556,1,229,92,0.237000," ","int(x*cosh(b*x+a)*csch(b*x+a)^(1/2),x)","\frac{\left(b x -2\right) \left({\mathrm e}^{2 b x +2 a}-1\right) \sqrt{2}\, \sqrt{\frac{{\mathrm e}^{b x +a}}{{\mathrm e}^{2 b x +2 a}-1}}\, {\mathrm e}^{-b x -a}}{b^{2}}+\frac{2 \left(\frac{2 \,{\mathrm e}^{2 b x +2 a}-2}{\sqrt{\left({\mathrm e}^{2 b x +2 a}-1\right) {\mathrm e}^{b x +a}}}-\frac{\sqrt{1+{\mathrm e}^{b x +a}}\, \sqrt{2-2 \,{\mathrm e}^{b x +a}}\, \sqrt{-{\mathrm e}^{b x +a}}\, \left(-2 \EllipticE \left(\sqrt{1+{\mathrm e}^{b x +a}}, \frac{\sqrt{2}}{2}\right)+\EllipticF \left(\sqrt{1+{\mathrm e}^{b x +a}}, \frac{\sqrt{2}}{2}\right)\right)}{\sqrt{{\mathrm e}^{3 b x +3 a}-{\mathrm e}^{b x +a}}}\right) \sqrt{2}\, \sqrt{\frac{{\mathrm e}^{b x +a}}{{\mathrm e}^{2 b x +2 a}-1}}\, \sqrt{\left({\mathrm e}^{2 b x +2 a}-1\right) {\mathrm e}^{b x +a}}\, {\mathrm e}^{-b x -a}}{b^{2}}"," ",0,"(b*x-2)*(exp(b*x+a)^2-1)/b^2*2^(1/2)*(exp(b*x+a)/(exp(b*x+a)^2-1))^(1/2)/exp(b*x+a)+2/b^2*(2*(exp(b*x+a)^2-1)/((exp(b*x+a)^2-1)*exp(b*x+a))^(1/2)-(1+exp(b*x+a))^(1/2)*(2-2*exp(b*x+a))^(1/2)*(-exp(b*x+a))^(1/2)/(exp(b*x+a)^3-exp(b*x+a))^(1/2)*(-2*EllipticE((1+exp(b*x+a))^(1/2),1/2*2^(1/2))+EllipticF((1+exp(b*x+a))^(1/2),1/2*2^(1/2))))*2^(1/2)*(exp(b*x+a)/(exp(b*x+a)^2-1))^(1/2)*((exp(b*x+a)^2-1)*exp(b*x+a))^(1/2)/exp(b*x+a)","B"
557,0,0,111,0.145000," ","int(x*cosh(b*x+a)/csch(b*x+a)^(1/2),x)","\int \frac{x \cosh \left(b x +a \right)}{\sqrt{\mathrm{csch}\left(b x +a \right)}}\, dx"," ",0,"int(x*cosh(b*x+a)/csch(b*x+a)^(1/2),x)","F"
558,0,0,111,0.175000," ","int(x*cosh(b*x+a)/csch(b*x+a)^(3/2),x)","\int \frac{x \cosh \left(b x +a \right)}{\mathrm{csch}\left(b x +a \right)^{\frac{3}{2}}}\, dx"," ",0,"int(x*cosh(b*x+a)/csch(b*x+a)^(3/2),x)","F"
559,0,0,130,0.157000," ","int(x*cosh(b*x+a)/csch(b*x+a)^(5/2),x)","\int \frac{x \cosh \left(b x +a \right)}{\mathrm{csch}\left(b x +a \right)^{\frac{5}{2}}}\, dx"," ",0,"int(x*cosh(b*x+a)/csch(b*x+a)^(5/2),x)","F"
560,1,42,11,0.517000," ","int((sinh(x)*tanh(x))^(1/2),x)","\frac{\sqrt{2}\, \sqrt{\frac{\left({\mathrm e}^{2 x}-1\right)^{2} {\mathrm e}^{-x}}{1+{\mathrm e}^{2 x}}}\, \left(1+{\mathrm e}^{2 x}\right)}{{\mathrm e}^{2 x}-1}"," ",0,"2^(1/2)*((exp(2*x)-1)^2*exp(-x)/(1+exp(2*x)))^(1/2)/(exp(2*x)-1)*(1+exp(2*x))","B"
561,0,0,23,0.440000," ","int((sinh(x)*tanh(x))^(3/2),x)","\int \left(\sinh \left(x \right) \tanh \left(x \right)\right)^{\frac{3}{2}}\, dx"," ",0,"int((sinh(x)*tanh(x))^(3/2),x)","F"
562,0,0,38,0.444000," ","int((sinh(x)*tanh(x))^(5/2),x)","\int \left(\sinh \left(x \right) \tanh \left(x \right)\right)^{\frac{5}{2}}\, dx"," ",0,"int((sinh(x)*tanh(x))^(5/2),x)","F"
563,1,42,11,0.521000," ","int((cosh(x)*coth(x))^(1/2),x)","\frac{\sqrt{2}\, \sqrt{\frac{\left(1+{\mathrm e}^{2 x}\right)^{2} {\mathrm e}^{-x}}{{\mathrm e}^{2 x}-1}}\, \left({\mathrm e}^{2 x}-1\right)}{1+{\mathrm e}^{2 x}}"," ",0,"2^(1/2)*((1+exp(2*x))^2*exp(-x)/(exp(2*x)-1))^(1/2)/(1+exp(2*x))*(exp(2*x)-1)","B"
564,0,0,23,0.437000," ","int((cosh(x)*coth(x))^(3/2),x)","\int \left(\cosh \left(x \right) \coth \left(x \right)\right)^{\frac{3}{2}}\, dx"," ",0,"int((cosh(x)*coth(x))^(3/2),x)","F"
565,0,0,38,0.441000," ","int((cosh(x)*coth(x))^(5/2),x)","\int \left(\cosh \left(x \right) \coth \left(x \right)\right)^{\frac{5}{2}}\, dx"," ",0,"int((cosh(x)*coth(x))^(5/2),x)","F"
566,1,120,46,0.135000," ","int((b+c+cosh(x))/(a+b*sinh(x)),x)","-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{b}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{b}+\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)}{b}+\frac{2 b \arctanh \left(\frac{2 a \tanh \left(\frac{x}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{\sqrt{a^{2}+b^{2}}}+\frac{2 \arctanh \left(\frac{2 a \tanh \left(\frac{x}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right) c}{\sqrt{a^{2}+b^{2}}}"," ",0,"-1/b*ln(tanh(1/2*x)-1)-1/b*ln(tanh(1/2*x)+1)+1/b*ln(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)+2*b/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))+2/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))*c","B"
567,1,119,47,0.135000," ","int((b+c+cosh(x))/(a-b*sinh(x)),x)","-\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)+2 \tanh \left(\frac{x}{2}\right) b -a \right)}{b}+\frac{2 b \arctanh \left(\frac{2 a \tanh \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{\sqrt{a^{2}+b^{2}}}+\frac{2 \arctanh \left(\frac{2 a \tanh \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}+b^{2}}}\right) c}{\sqrt{a^{2}+b^{2}}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{b}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{b}"," ",0,"-1/b*ln(a*tanh(1/2*x)^2+2*tanh(1/2*x)*b-a)+2*b/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*x)+2*b)/(a^2+b^2)^(1/2))+2/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*x)+2*b)/(a^2+b^2)^(1/2))*c+1/b*ln(tanh(1/2*x)-1)+1/b*ln(tanh(1/2*x)+1)","B"
568,1,127,47,0.128000," ","int((b+c+sinh(x))/(a+b*cosh(x)),x)","-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{b}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{b}+\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -a -b \right)}{b}+\frac{2 b \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}+\frac{2 \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right) c}{\sqrt{\left(a +b \right) \left(a -b \right)}}"," ",0,"-1/b*ln(tanh(1/2*x)-1)-1/b*ln(tanh(1/2*x)+1)+1/b*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-a-b)+2*b/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))+2/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))*c","B"
569,1,154,49,0.133000," ","int((b+c+sinh(x))/(a-b*cosh(x)),x)","-\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)+\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -a +b \right) a}{b \left(a +b \right)}-\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)+\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -a +b \right)}{a +b}+\frac{2 b \arctanh \left(\frac{\left(a +b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}+\frac{2 \arctanh \left(\frac{\left(a +b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right) c}{\sqrt{\left(a +b \right) \left(a -b \right)}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{b}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{b}"," ",0,"-1/b/(a+b)*ln(a*tanh(1/2*x)^2+tanh(1/2*x)^2*b-a+b)*a-1/(a+b)*ln(a*tanh(1/2*x)^2+tanh(1/2*x)^2*b-a+b)+2*b/((a+b)*(a-b))^(1/2)*arctanh((a+b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))+2/((a+b)*(a-b))^(1/2)*arctanh((a+b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))*c+1/b*ln(tanh(1/2*x)-1)+1/b*ln(tanh(1/2*x)+1)","B"
570,1,58,25,0.909000," ","int(x*(b-a*sinh(x))/(a+b*sinh(x))^2,x)","-\frac{2 x}{b}+\frac{2 x \left(a \,{\mathrm e}^{x}-b \right)}{b \left(b \,{\mathrm e}^{2 x}+2 a \,{\mathrm e}^{x}-b \right)}+\frac{\ln \left({\mathrm e}^{2 x}+\frac{2 a \,{\mathrm e}^{x}}{b}-1\right)}{b}"," ",0,"-2*x/b+2*x*(a*exp(x)-b)/b/(b*exp(2*x)+2*a*exp(x)-b)+1/b*ln(exp(2*x)+2/b*a*exp(x)-1)","B"
571,1,55,25,0.479000," ","int(x*(b+a*cosh(x))/(a+b*cosh(x))^2,x)","\frac{2 x}{b}-\frac{2 x \left(a \,{\mathrm e}^{x}+b \right)}{b \left(b \,{\mathrm e}^{2 x}+2 a \,{\mathrm e}^{x}+b \right)}-\frac{\ln \left({\mathrm e}^{2 x}+\frac{2 a \,{\mathrm e}^{x}}{b}+1\right)}{b}"," ",0,"2*x/b-2*x*(a*exp(x)+b)/b/(b*exp(2*x)+2*a*exp(x)+b)-1/b*ln(exp(2*x)+2/b*a*exp(x)+1)","B"
572,1,89,52,0.192000," ","int((a+b*sech(x))/(c+d*cosh(x)),x)","\frac{2 \arctanh \left(\frac{\left(c -d \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(c +d \right) \left(c -d \right)}}\right) a}{\sqrt{\left(c +d \right) \left(c -d \right)}}-\frac{2 \arctanh \left(\frac{\left(c -d \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(c +d \right) \left(c -d \right)}}\right) b d}{c \sqrt{\left(c +d \right) \left(c -d \right)}}+\frac{2 b \arctan \left(\tanh \left(\frac{x}{2}\right)\right)}{c}"," ",0,"2/((c+d)*(c-d))^(1/2)*arctanh((c-d)*tanh(1/2*x)/((c+d)*(c-d))^(1/2))*a-2/c/((c+d)*(c-d))^(1/2)*arctanh((c-d)*tanh(1/2*x)/((c+d)*(c-d))^(1/2))*b*d+2*b/c*arctan(tanh(1/2*x))","A"
573,1,86,52,0.184000," ","int((a+b*csch(x))/(c+d*sinh(x)),x)","\frac{b \ln \left(\tanh \left(\frac{x}{2}\right)\right)}{c}+\frac{2 \arctanh \left(\frac{2 c \tanh \left(\frac{x}{2}\right)-2 d}{2 \sqrt{c^{2}+d^{2}}}\right) a}{\sqrt{c^{2}+d^{2}}}-\frac{2 \arctanh \left(\frac{2 c \tanh \left(\frac{x}{2}\right)-2 d}{2 \sqrt{c^{2}+d^{2}}}\right) b d}{c \sqrt{c^{2}+d^{2}}}"," ",0,"b/c*ln(tanh(1/2*x))+2/(c^2+d^2)^(1/2)*arctanh(1/2*(2*c*tanh(1/2*x)-2*d)/(c^2+d^2)^(1/2))*a-2/c/(c^2+d^2)^(1/2)*arctanh(1/2*(2*c*tanh(1/2*x)-2*d)/(c^2+d^2)^(1/2))*b*d","A"
574,1,54,15,0.162000," ","int((1+sinh(x)^2)/(1-sinh(x)^2),x)","\sqrt{2}\, \arctanh \left(\frac{\left(2 \tanh \left(\frac{x}{2}\right)-2\right) \sqrt{2}}{4}\right)+\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)+\sqrt{2}\, \arctanh \left(\frac{\left(2 \tanh \left(\frac{x}{2}\right)+2\right) \sqrt{2}}{4}\right)-\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)"," ",0,"2^(1/2)*arctanh(1/4*(2*tanh(1/2*x)-2)*2^(1/2))+ln(tanh(1/2*x)-1)+2^(1/2)*arctanh(1/4*(2*tanh(1/2*x)+2)*2^(1/2))-ln(tanh(1/2*x)+1)","B"
575,1,34,8,0.148000," ","int((1-sinh(x)^2)/(1+sinh(x)^2),x)","\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)-\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)+\frac{4 \tanh \left(\frac{x}{2}\right)}{\tanh^{2}\left(\frac{x}{2}\right)+1}"," ",0,"ln(tanh(1/2*x)-1)-ln(tanh(1/2*x)+1)+4*tanh(1/2*x)/(tanh(1/2*x)^2+1)","B"
576,1,28,8,0.142000," ","int((1+cosh(x)^2)/(1-cosh(x)^2),x)","\tanh \left(\frac{x}{2}\right)+\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)-\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)+\frac{1}{\tanh \left(\frac{x}{2}\right)}"," ",0,"tanh(1/2*x)+ln(tanh(1/2*x)-1)-ln(tanh(1/2*x)+1)+1/tanh(1/2*x)","B"
577,1,102,16,0.120000," ","int((1-cosh(x)^2)/(1+cosh(x)^2),x)","\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)+\frac{\sqrt{2}\, \ln \left(\frac{\tanh^{2}\left(\frac{x}{2}\right)+\sqrt{2}\, \tanh \left(\frac{x}{2}\right)+1}{\tanh^{2}\left(\frac{x}{2}\right)-\sqrt{2}\, \tanh \left(\frac{x}{2}\right)+1}\right)}{4}-\frac{\sqrt{2}\, \ln \left(\frac{\tanh^{2}\left(\frac{x}{2}\right)-\sqrt{2}\, \tanh \left(\frac{x}{2}\right)+1}{\tanh^{2}\left(\frac{x}{2}\right)+\sqrt{2}\, \tanh \left(\frac{x}{2}\right)+1}\right)}{4}-\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)"," ",0,"ln(tanh(1/2*x)-1)+1/4*2^(1/2)*ln((tanh(1/2*x)^2+2^(1/2)*tanh(1/2*x)+1)/(tanh(1/2*x)^2-2^(1/2)*tanh(1/2*x)+1))-1/4*2^(1/2)*ln((tanh(1/2*x)^2-2^(1/2)*tanh(1/2*x)+1)/(tanh(1/2*x)^2+2^(1/2)*tanh(1/2*x)+1))-ln(tanh(1/2*x)+1)","B"
578,1,112,64,0.184000," ","int((a+b*sech(x)^2)/(c+d*cosh(x)),x)","\frac{2 \arctanh \left(\frac{\left(c -d \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(c +d \right) \left(c -d \right)}}\right) a}{\sqrt{\left(c +d \right) \left(c -d \right)}}+\frac{2 \arctanh \left(\frac{\left(c -d \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(c +d \right) \left(c -d \right)}}\right) b \,d^{2}}{c^{2} \sqrt{\left(c +d \right) \left(c -d \right)}}+\frac{2 b \tanh \left(\frac{x}{2}\right)}{c \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}-\frac{2 b d \arctan \left(\tanh \left(\frac{x}{2}\right)\right)}{c^{2}}"," ",0,"2/((c+d)*(c-d))^(1/2)*arctanh((c-d)*tanh(1/2*x)/((c+d)*(c-d))^(1/2))*a+2/c^2/((c+d)*(c-d))^(1/2)*arctanh((c-d)*tanh(1/2*x)/((c+d)*(c-d))^(1/2))*b*d^2+2*b/c*tanh(1/2*x)/(tanh(1/2*x)^2+1)-2*b/c^2*d*arctan(tanh(1/2*x))","A"
579,1,112,63,0.196000," ","int((a+b*csch(x)^2)/(c+d*sinh(x)),x)","-\frac{b \tanh \left(\frac{x}{2}\right)}{2 c}-\frac{b}{2 c \tanh \left(\frac{x}{2}\right)}-\frac{b d \ln \left(\tanh \left(\frac{x}{2}\right)\right)}{c^{2}}+\frac{2 \arctanh \left(\frac{2 c \tanh \left(\frac{x}{2}\right)-2 d}{2 \sqrt{c^{2}+d^{2}}}\right) a}{\sqrt{c^{2}+d^{2}}}+\frac{2 \arctanh \left(\frac{2 c \tanh \left(\frac{x}{2}\right)-2 d}{2 \sqrt{c^{2}+d^{2}}}\right) b \,d^{2}}{c^{2} \sqrt{c^{2}+d^{2}}}"," ",0,"-1/2*b/c*tanh(1/2*x)-1/2*b/c/tanh(1/2*x)-1/c^2*b*d*ln(tanh(1/2*x))+2/(c^2+d^2)^(1/2)*arctanh(1/2*(2*c*tanh(1/2*x)-2*d)/(c^2+d^2)^(1/2))*a+2/c^2/(c^2+d^2)^(1/2)*arctanh(1/2*(2*c*tanh(1/2*x)-2*d)/(c^2+d^2)^(1/2))*b*d^2","A"
580,1,10,9,0.017000," ","int(a*cosh(x)+b*sinh(x),x)","b \cosh \left(x \right)+a \sinh \left(x \right)"," ",0,"b*cosh(x)+a*sinh(x)","A"
581,1,37,33,0.146000," ","int((a*cosh(x)+b*sinh(x))^2,x)","b^{2} \left(\frac{\cosh \left(x \right) \sinh \left(x \right)}{2}-\frac{x}{2}\right)+a b \left(\cosh^{2}\left(x \right)\right)+a^{2} \left(\frac{\cosh \left(x \right) \sinh \left(x \right)}{2}+\frac{x}{2}\right)"," ",0,"b^2*(1/2*cosh(x)*sinh(x)-1/2*x)+a*b*cosh(x)^2+a^2*(1/2*cosh(x)*sinh(x)+1/2*x)","A"
582,1,48,33,0.459000," ","int((a*cosh(x)+b*sinh(x))^3,x)","b^{3} \left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(x \right)\right)}{3}\right) \cosh \left(x \right)+a \,b^{2} \left(\sinh^{3}\left(x \right)\right)+a^{2} b \left(\cosh^{3}\left(x \right)\right)+a^{3} \left(\frac{2}{3}+\frac{\left(\cosh^{2}\left(x \right)\right)}{3}\right) \sinh \left(x \right)"," ",0,"b^3*(-2/3+1/3*sinh(x)^2)*cosh(x)+a*b^2*sinh(x)^3+a^2*b*cosh(x)^3+a^3*(2/3+1/3*cosh(x)^2)*sinh(x)","A"
583,1,90,66,0.458000," ","int((a*cosh(x)+b*sinh(x))^4,x)","b^{4} \left(\left(\frac{\left(\sinh^{3}\left(x \right)\right)}{4}-\frac{3 \sinh \left(x \right)}{8}\right) \cosh \left(x \right)+\frac{3 x}{8}\right)+a \,b^{3} \left(\sinh^{4}\left(x \right)\right)+6 a^{2} b^{2} \left(\frac{\sinh \left(x \right) \left(\cosh^{3}\left(x \right)\right)}{4}-\frac{\cosh \left(x \right) \sinh \left(x \right)}{8}-\frac{x}{8}\right)+a^{3} b \left(\cosh^{4}\left(x \right)\right)+a^{4} \left(\left(\frac{\left(\cosh^{3}\left(x \right)\right)}{4}+\frac{3 \cosh \left(x \right)}{8}\right) \sinh \left(x \right)+\frac{3 x}{8}\right)"," ",0,"b^4*((1/4*sinh(x)^3-3/8*sinh(x))*cosh(x)+3/8*x)+a*b^3*sinh(x)^4+6*a^2*b^2*(1/4*sinh(x)*cosh(x)^3-1/8*cosh(x)*sinh(x)-1/8*x)+a^3*b*cosh(x)^4+a^4*((1/4*cosh(x)^3+3/8*cosh(x))*sinh(x)+3/8*x)","A"
584,1,114,57,0.417000," ","int((a*cosh(x)+b*sinh(x))^5,x)","b^{5} \left(\frac{8}{15}+\frac{\left(\sinh^{4}\left(x \right)\right)}{5}-\frac{4 \left(\sinh^{2}\left(x \right)\right)}{15}\right) \cosh \left(x \right)+a \,b^{4} \left(\sinh^{5}\left(x \right)\right)+10 a^{2} b^{3} \left(\frac{\left(\sinh^{2}\left(x \right)\right) \left(\cosh^{3}\left(x \right)\right)}{5}-\frac{2 \left(\cosh^{3}\left(x \right)\right)}{15}\right)+10 a^{3} b^{2} \left(\frac{\sinh \left(x \right) \left(\cosh^{4}\left(x \right)\right)}{5}-\frac{\left(\frac{2}{3}+\frac{\left(\cosh^{2}\left(x \right)\right)}{3}\right) \sinh \left(x \right)}{5}\right)+a^{4} b \left(\cosh^{5}\left(x \right)\right)+a^{5} \left(\frac{8}{15}+\frac{\left(\cosh^{4}\left(x \right)\right)}{5}+\frac{4 \left(\cosh^{2}\left(x \right)\right)}{15}\right) \sinh \left(x \right)"," ",0,"b^5*(8/15+1/5*sinh(x)^4-4/15*sinh(x)^2)*cosh(x)+a*b^4*sinh(x)^5+10*a^2*b^3*(1/5*sinh(x)^2*cosh(x)^3-2/15*cosh(x)^3)+10*a^3*b^2*(1/5*sinh(x)*cosh(x)^4-1/5*(2/3+1/3*cosh(x)^2)*sinh(x))+a^4*b*cosh(x)^5+a^5*(8/15+1/5*cosh(x)^4+4/15*cosh(x)^2)*sinh(x)","A"
585,1,39,34,0.196000," ","int(1/(a*cosh(x)+b*sinh(x)),x)","\frac{2 \arctan \left(\frac{2 a \tanh \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}}}\right)}{\sqrt{a^{2}-b^{2}}}"," ",0,"2/(a^2-b^2)^(1/2)*arctan(1/2*(2*a*tanh(1/2*x)+2*b)/(a^2-b^2)^(1/2))","A"
586,1,29,17,0.239000," ","int(1/(a*cosh(x)+b*sinh(x))^2,x)","\frac{2 \tanh \left(\frac{x}{2}\right)}{a \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)}"," ",0,"2/a*tanh(1/2*x)/(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)","A"
587,1,167,69,0.257000," ","int(1/(a*cosh(x)+b*sinh(x))^3,x)","\frac{-\frac{\left(a^{2}-2 b^{2}\right) \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{\left(a^{2}-b^{2}\right) a}+\frac{b \left(a^{2}+2 b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{\left(a^{2}-b^{2}\right) a^{2}}+\frac{\left(a^{2}+2 b^{2}\right) \tanh \left(\frac{x}{2}\right)}{\left(a^{2}-b^{2}\right) a}+\frac{2 b}{2 a^{2}-2 b^{2}}}{\left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)^{2}}+\frac{\arctan \left(\frac{2 a \tanh \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}}}\right)}{\left(a^{2}-b^{2}\right)^{\frac{3}{2}}}"," ",0,"2*(-1/2*(a^2-2*b^2)/(a^2-b^2)/a*tanh(1/2*x)^3+1/2*b*(a^2+2*b^2)/(a^2-b^2)/a^2*tanh(1/2*x)^2+1/2*(a^2+2*b^2)/(a^2-b^2)/a*tanh(1/2*x)+1/2*b/(a^2-b^2))/(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)^2+1/(a^2-b^2)^(3/2)*arctan(1/2*(2*a*tanh(1/2*x)+2*b)/(a^2-b^2)^(1/2))","B"
588,1,87,63,0.284000," ","int(1/(a*cosh(x)+b*sinh(x))^4,x)","-\frac{2 \left(-\frac{\tanh^{5}\left(\frac{x}{2}\right)}{a}-\frac{2 b \left(\tanh^{4}\left(\frac{x}{2}\right)\right)}{a^{2}}-\frac{2 \left(a^{2}+2 b^{2}\right) \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{3 a^{3}}-\frac{2 b \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{a^{2}}-\frac{\tanh \left(\frac{x}{2}\right)}{a}\right)}{\left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)^{3}}"," ",0,"-2*(-1/a*tanh(1/2*x)^5-2/a^2*b*tanh(1/2*x)^4-2/3/a^3*(a^2+2*b^2)*tanh(1/2*x)^3-2/a^2*b*tanh(1/2*x)^2-1/a*tanh(1/2*x))/(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)^3","A"
589,1,462,102,0.305000," ","int(1/(a*cosh(x)+b*sinh(x))^5,x)","\frac{-\frac{\left(5 a^{4}-16 a^{2} b^{2}+8 b^{4}\right) \left(\tanh^{7}\left(\frac{x}{2}\right)\right)}{4 a \left(a^{4}-2 a^{2} b^{2}+b^{4}\right)}-\frac{3 b \left(a^{4}-16 a^{2} b^{2}+8 b^{4}\right) \left(\tanh^{6}\left(\frac{x}{2}\right)\right)}{4 \left(a^{4}-2 a^{2} b^{2}+b^{4}\right) a^{2}}+\frac{\left(3 a^{6}+36 a^{4} b^{2}+56 a^{2} b^{4}-32 b^{6}\right) \left(\tanh^{5}\left(\frac{x}{2}\right)\right)}{4 a^{3} \left(a^{4}-2 a^{2} b^{2}+b^{4}\right)}+\frac{b \left(15 a^{6}+114 a^{4} b^{2}-8 a^{2} b^{4}-16 b^{6}\right) \left(\tanh^{4}\left(\frac{x}{2}\right)\right)}{4 a^{4} \left(a^{4}-2 a^{2} b^{2}+b^{4}\right)}-\frac{\left(3 a^{6}-84 a^{4} b^{2}-56 a^{2} b^{4}+32 b^{6}\right) \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{4 a^{3} \left(a^{4}-2 a^{2} b^{2}+b^{4}\right)}+\frac{b \left(23 a^{4}+64 a^{2} b^{2}-24 b^{4}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{4 \left(a^{4}-2 a^{2} b^{2}+b^{4}\right) a^{2}}+\frac{\left(5 a^{4}+24 a^{2} b^{2}-8 b^{4}\right) \tanh \left(\frac{x}{2}\right)}{4 a \left(a^{4}-2 a^{2} b^{2}+b^{4}\right)}+\frac{2 \left(5 a^{2}-2 b^{2}\right) b}{8 a^{4}-16 a^{2} b^{2}+8 b^{4}}}{\left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)^{4}}+\frac{3 \arctan \left(\frac{2 a \tanh \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}}}\right)}{4 \left(a^{4}-2 a^{2} b^{2}+b^{4}\right) \sqrt{a^{2}-b^{2}}}"," ",0,"2*(-1/8*(5*a^4-16*a^2*b^2+8*b^4)/a/(a^4-2*a^2*b^2+b^4)*tanh(1/2*x)^7-3/8*b*(a^4-16*a^2*b^2+8*b^4)/(a^4-2*a^2*b^2+b^4)/a^2*tanh(1/2*x)^6+1/8/a^3*(3*a^6+36*a^4*b^2+56*a^2*b^4-32*b^6)/(a^4-2*a^2*b^2+b^4)*tanh(1/2*x)^5+1/8/a^4*b*(15*a^6+114*a^4*b^2-8*a^2*b^4-16*b^6)/(a^4-2*a^2*b^2+b^4)*tanh(1/2*x)^4-1/8/a^3*(3*a^6-84*a^4*b^2-56*a^2*b^4+32*b^6)/(a^4-2*a^2*b^2+b^4)*tanh(1/2*x)^3+1/8*b*(23*a^4+64*a^2*b^2-24*b^4)/(a^4-2*a^2*b^2+b^4)/a^2*tanh(1/2*x)^2+1/8*(5*a^4+24*a^2*b^2-8*b^4)/a/(a^4-2*a^2*b^2+b^4)*tanh(1/2*x)+1/8*(5*a^2-2*b^2)*b/(a^4-2*a^2*b^2+b^4))/(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)^4+3/4/(a^4-2*a^2*b^2+b^4)/(a^2-b^2)^(1/2)*arctan(1/2*(2*a*tanh(1/2*x)+2*b)/(a^2-b^2)^(1/2))","B"
590,1,33,89,0.398000," ","int((a*cosh(x)+b*sinh(x))^(1/2),x)","-\frac{\sqrt{a^{2}-b^{2}}\, \cosh \left(x \right)}{\sqrt{-\sinh \left(x \right) \sqrt{a^{2}-b^{2}}}}"," ",0,"-(a^2-b^2)^(1/2)/(-sinh(x)*(a^2-b^2)^(1/2))^(1/2)*cosh(x)","A"
591,1,171,121,0.600000," ","int((a*cosh(x)+b*sinh(x))^(3/2),x)","-\frac{\sqrt{-\sqrt{a^{2}-b^{2}}\, \left(\sinh^{3}\left(x \right)\right)}\, \left(\cosh \left(x \right) \sqrt{-\sqrt{a^{2}-b^{2}}\, \left(\sinh^{3}\left(x \right)\right)}\, \sqrt{\sinh \left(x \right) \sqrt{a^{2}-b^{2}}}\, \left(a^{2}-b^{2}\right)+\sinh \left(x \right) \left(a^{2}-b^{2}\right)^{\frac{3}{2}} \arctan \left(\frac{\sqrt{\sinh \left(x \right) \sqrt{a^{2}-b^{2}}}\, \cosh \left(x \right)}{\sqrt{-\sqrt{a^{2}-b^{2}}\, \left(\sinh^{3}\left(x \right)\right)}}\right)\right)}{2 \sinh \left(x \right)^{2} \sqrt{a^{2}-b^{2}}\, \sqrt{\sinh \left(x \right) \sqrt{a^{2}-b^{2}}}\, \sqrt{-\sinh \left(x \right) \sqrt{a^{2}-b^{2}}}}"," ",0,"-1/2*(-(a^2-b^2)^(1/2)*sinh(x)^3)^(1/2)*(cosh(x)*(-(a^2-b^2)^(1/2)*sinh(x)^3)^(1/2)*(sinh(x)*(a^2-b^2)^(1/2))^(1/2)*(a^2-b^2)+sinh(x)*(a^2-b^2)^(3/2)*arctan((sinh(x)*(a^2-b^2)^(1/2))^(1/2)*cosh(x)/(-(a^2-b^2)^(1/2)*sinh(x)^3)^(1/2)))/sinh(x)^2/(a^2-b^2)^(1/2)/(sinh(x)*(a^2-b^2)^(1/2))^(1/2)/(-sinh(x)*(a^2-b^2)^(1/2))^(1/2)","A"
592,1,51,121,0.414000," ","int((a*cosh(x)+b*sinh(x))^(5/2),x)","\frac{-\frac{\left(a^{2}-b^{2}\right)^{\frac{3}{2}} \left(\cosh^{3}\left(x \right)\right)}{3}+\left(a^{2}-b^{2}\right)^{\frac{3}{2}} \cosh \left(x \right)}{\sqrt{-\sinh \left(x \right) \sqrt{a^{2}-b^{2}}}}"," ",0,"1/(-sinh(x)*(a^2-b^2)^(1/2))^(1/2)*(-1/3*(a^2-b^2)^(3/2)*cosh(x)^3+(a^2-b^2)^(3/2)*cosh(x))","A"
593,1,97,89,0.412000," ","int(1/(a*cosh(x)+b*sinh(x))^(1/2),x)","\frac{\sqrt{-\sqrt{a^{2}-b^{2}}\, \left(\sinh^{3}\left(x \right)\right)}\, \arctan \left(\frac{\sqrt{\sinh \left(x \right) \sqrt{a^{2}-b^{2}}}\, \cosh \left(x \right)}{\sqrt{-\sqrt{a^{2}-b^{2}}\, \left(\sinh^{3}\left(x \right)\right)}}\right)}{\sqrt{\sinh \left(x \right) \sqrt{a^{2}-b^{2}}}\, \sinh \left(x \right) \sqrt{-\sinh \left(x \right) \sqrt{a^{2}-b^{2}}}}"," ",0,"(-(a^2-b^2)^(1/2)*sinh(x)^3)^(1/2)/(sinh(x)*(a^2-b^2)^(1/2))^(1/2)*arctan((sinh(x)*(a^2-b^2)^(1/2))^(1/2)*cosh(x)/(-(a^2-b^2)^(1/2)*sinh(x)^3)^(1/2))/sinh(x)/(-sinh(x)*(a^2-b^2)^(1/2))^(1/2)","A"
594,1,33,134,0.343000," ","int(1/(a*cosh(x)+b*sinh(x))^(3/2),x)","\frac{\arctanh \left(\cosh \left(x \right)\right)}{\sqrt{a^{2}-b^{2}}\, \sqrt{-\sinh \left(x \right) \sqrt{a^{2}-b^{2}}}}"," ",0,"1/(a^2-b^2)^(1/2)/(-sinh(x)*(a^2-b^2)^(1/2))^(1/2)*arctanh(cosh(x))","A"
595,1,37,134,0.461000," ","int(1/(a*cosh(x)+b*sinh(x))^(5/2),x)","-\frac{\cosh \left(x \right)}{\left(a^{2}-b^{2}\right) \sinh \left(x \right) \sqrt{-\sinh \left(x \right) \sqrt{a^{2}-b^{2}}}}"," ",0,"-cosh(x)/(a^2-b^2)/sinh(x)/(-sinh(x)*(a^2-b^2)^(1/2))^(1/2)","A"
596,1,19,23,0.018000," ","int(a*cosh(d*x+c)+a*sinh(d*x+c),x)","\frac{a \left(\cosh \left(d x +c \right)+\sinh \left(d x +c \right)\right)}{d}"," ",0,"a*(cosh(d*x+c)+sinh(d*x+c))/d","A"
597,1,24,24,0.021000," ","int((a*cosh(d*x+c)+a*sinh(d*x+c))^2,x)","\frac{a^{2} \left(\cosh \left(d x +c \right)+\sinh \left(d x +c \right)\right)^{2}}{2 d}"," ",0,"1/2*a^2*(cosh(d*x+c)+sinh(d*x+c))^2/d","A"
598,1,24,24,0.019000," ","int((a*cosh(d*x+c)+a*sinh(d*x+c))^3,x)","\frac{a^{3} \left(\cosh \left(d x +c \right)+\sinh \left(d x +c \right)\right)^{3}}{3 d}"," ",0,"1/3*a^3*(cosh(d*x+c)+sinh(d*x+c))^3/d","A"
599,1,27,26,0.019000," ","int((a*cosh(d*x+c)+a*sinh(d*x+c))^n,x)","\frac{\left(a \cosh \left(d x +c \right)+a \sinh \left(d x +c \right)\right)^{n}}{d n}"," ",0,"(a*cosh(d*x+c)+a*sinh(d*x+c))^n/d/n","A"
600,1,24,24,0.020000," ","int(1/(a*cosh(d*x+c)+a*sinh(d*x+c)),x)","-\frac{1}{d a \left(\cosh \left(d x +c \right)+\sinh \left(d x +c \right)\right)}"," ",0,"-1/d/a/(cosh(d*x+c)+sinh(d*x+c))","A"
601,1,24,24,0.032000," ","int(1/(a*cosh(d*x+c)+a*sinh(d*x+c))^2,x)","-\frac{1}{2 d \,a^{2} \left(\cosh \left(d x +c \right)+\sinh \left(d x +c \right)\right)^{2}}"," ",0,"-1/2/d/a^2/(cosh(d*x+c)+sinh(d*x+c))^2","A"
602,1,24,24,0.016000," ","int(1/(a*cosh(d*x+c)+a*sinh(d*x+c))^3,x)","-\frac{1}{3 d \,a^{3} \left(\cosh \left(d x +c \right)+\sinh \left(d x +c \right)\right)^{3}}"," ",0,"-1/3/d/a^3/(cosh(d*x+c)+sinh(d*x+c))^3","A"
603,1,25,24,0.020000," ","int((a*cosh(d*x+c)+a*sinh(d*x+c))^(1/2),x)","\frac{2 \sqrt{a \cosh \left(d x +c \right)+a \sinh \left(d x +c \right)}}{d}"," ",0,"2*(a*cosh(d*x+c)+a*sinh(d*x+c))^(1/2)/d","A"
604,1,25,24,0.022000," ","int(1/(a*cosh(d*x+c)+a*sinh(d*x+c))^(1/2),x)","-\frac{2}{d \sqrt{a \cosh \left(d x +c \right)+a \sinh \left(d x +c \right)}}"," ",0,"-2/d/(a*cosh(d*x+c)+a*sinh(d*x+c))^(1/2)","A"
605,1,21,24,0.018000," ","int(a*cosh(d*x+c)-a*sinh(d*x+c),x)","\frac{a \left(\sinh \left(d x +c \right)-\cosh \left(d x +c \right)\right)}{d}"," ",0,"a*(sinh(d*x+c)-cosh(d*x+c))/d","A"
606,1,26,25,0.018000," ","int((a*cosh(d*x+c)-a*sinh(d*x+c))^2,x)","-\frac{a^{2} \left(\cosh \left(d x +c \right)-\sinh \left(d x +c \right)\right)^{2}}{2 d}"," ",0,"-1/2*a^2*(cosh(d*x+c)-sinh(d*x+c))^2/d","A"
607,1,26,25,0.021000," ","int((a*cosh(d*x+c)-a*sinh(d*x+c))^3,x)","-\frac{a^{3} \left(\cosh \left(d x +c \right)-\sinh \left(d x +c \right)\right)^{3}}{3 d}"," ",0,"-1/3*a^3*(cosh(d*x+c)-sinh(d*x+c))^3/d","A"
608,1,29,28,0.024000," ","int((a*cosh(d*x+c)-a*sinh(d*x+c))^n,x)","-\frac{\left(a \cosh \left(d x +c \right)-a \sinh \left(d x +c \right)\right)^{n}}{d n}"," ",0,"-(a*cosh(d*x+c)-a*sinh(d*x+c))^n/d/n","A"
609,1,25,24,0.021000," ","int(1/(a*cosh(d*x+c)-a*sinh(d*x+c)),x)","\frac{1}{d a \left(\cosh \left(d x +c \right)-\sinh \left(d x +c \right)\right)}"," ",0,"1/d/a/(cosh(d*x+c)-sinh(d*x+c))","A"
610,1,26,25,0.020000," ","int(1/(a*cosh(d*x+c)-a*sinh(d*x+c))^2,x)","\frac{1}{2 d \,a^{2} \left(\cosh \left(d x +c \right)-\sinh \left(d x +c \right)\right)^{2}}"," ",0,"1/2/d/a^2/(cosh(d*x+c)-sinh(d*x+c))^2","A"
611,1,26,25,0.020000," ","int(1/(a*cosh(d*x+c)-a*sinh(d*x+c))^3,x)","\frac{1}{3 d \,a^{3} \left(\cosh \left(d x +c \right)-\sinh \left(d x +c \right)\right)^{3}}"," ",0,"1/3/d/a^3/(cosh(d*x+c)-sinh(d*x+c))^3","A"
612,1,26,25,0.020000," ","int((a*cosh(d*x+c)-a*sinh(d*x+c))^(1/2),x)","-\frac{2 \sqrt{a \cosh \left(d x +c \right)-a \sinh \left(d x +c \right)}}{d}"," ",0,"-2*(a*cosh(d*x+c)-a*sinh(d*x+c))^(1/2)/d","A"
613,1,26,25,0.019000," ","int(1/(a*cosh(d*x+c)-a*sinh(d*x+c))^(1/2),x)","\frac{2}{d \sqrt{a \cosh \left(d x +c \right)-a \sinh \left(d x +c \right)}}"," ",0,"2/d/(a*cosh(d*x+c)-a*sinh(d*x+c))^(1/2)","A"
614,1,201,116,0.343000," ","int((a*sech(x)+b*tanh(x))^5,x)","\frac{a^{5} \tanh \left(x \right) \mathrm{sech}\left(x \right)^{3}}{4}+\frac{3 a^{5} \mathrm{sech}\left(x \right) \tanh \left(x \right)}{8}+\frac{3 a^{5} \arctan \left({\mathrm e}^{x}\right)}{4}-\frac{5 a^{4} b}{4 \cosh \left(x \right)^{4}}-\frac{10 a^{3} b^{2} \sinh \left(x \right)}{3 \cosh \left(x \right)^{4}}+\frac{5 a^{3} b^{2} \tanh \left(x \right) \mathrm{sech}\left(x \right)^{3}}{6}+\frac{5 a^{3} b^{2} \mathrm{sech}\left(x \right) \tanh \left(x \right)}{4}+\frac{5 a^{3} b^{2} \arctan \left({\mathrm e}^{x}\right)}{2}-\frac{5 a^{2} b^{3} \left(\sinh^{2}\left(x \right)\right)}{\cosh \left(x \right)^{4}}-\frac{5 a^{2} b^{3}}{2 \cosh \left(x \right)^{4}}-\frac{5 a \,b^{4} \left(\sinh^{3}\left(x \right)\right)}{\cosh \left(x \right)^{4}}-\frac{5 a \,b^{4} \sinh \left(x \right)}{\cosh \left(x \right)^{4}}+\frac{5 a \,b^{4} \tanh \left(x \right) \mathrm{sech}\left(x \right)^{3}}{4}+\frac{15 a \,b^{4} \mathrm{sech}\left(x \right) \tanh \left(x \right)}{8}+\frac{15 a \,b^{4} \arctan \left({\mathrm e}^{x}\right)}{4}+b^{5} \ln \left(\cosh \left(x \right)\right)-\frac{b^{5} \left(\tanh^{2}\left(x \right)\right)}{2}-\frac{b^{5} \left(\tanh^{4}\left(x \right)\right)}{4}"," ",0,"1/4*a^5*tanh(x)*sech(x)^3+3/8*a^5*sech(x)*tanh(x)+3/4*a^5*arctan(exp(x))-5/4*a^4*b/cosh(x)^4-10/3*a^3*b^2*sinh(x)/cosh(x)^4+5/6*a^3*b^2*tanh(x)*sech(x)^3+5/4*a^3*b^2*sech(x)*tanh(x)+5/2*a^3*b^2*arctan(exp(x))-5*a^2*b^3*sinh(x)^2/cosh(x)^4-5/2*a^2*b^3/cosh(x)^4-5*a*b^4*sinh(x)^3/cosh(x)^4-5*a*b^4*sinh(x)/cosh(x)^4+5/4*a*b^4*tanh(x)*sech(x)^3+15/8*a*b^4*sech(x)*tanh(x)+15/4*a*b^4*arctan(exp(x))+b^5*ln(cosh(x))-1/2*b^5*tanh(x)^2-1/4*b^5*tanh(x)^4","A"
615,1,94,92,0.389000," ","int((a*sech(x)+b*tanh(x))^4,x)","a^{4} \left(\frac{2}{3}+\frac{\mathrm{sech}\left(x \right)^{2}}{3}\right) \tanh \left(x \right)-\frac{4 a^{3} b}{3 \cosh \left(x \right)^{3}}+6 a^{2} b^{2} \left(-\frac{\sinh \left(x \right)}{2 \cosh \left(x \right)^{3}}+\frac{\left(\frac{2}{3}+\frac{\mathrm{sech}\left(x \right)^{2}}{3}\right) \tanh \left(x \right)}{2}\right)+4 a \,b^{3} \left(-\frac{\sinh^{2}\left(x \right)}{\cosh \left(x \right)^{3}}-\frac{2}{3 \cosh \left(x \right)^{3}}\right)+b^{4} \left(x -\tanh \left(x \right)-\frac{\left(\tanh^{3}\left(x \right)\right)}{3}\right)"," ",0,"a^4*(2/3+1/3*sech(x)^2)*tanh(x)-4/3*a^3*b/cosh(x)^3+6*a^2*b^2*(-1/2*sinh(x)/cosh(x)^3+1/2*(2/3+1/3*sech(x)^2)*tanh(x))+4*a*b^3*(-sinh(x)^2/cosh(x)^3-2/3/cosh(x)^3)+b^4*(x-tanh(x)-1/3*tanh(x)^3)","A"
616,1,75,52,0.367000," ","int((a*sech(x)+b*tanh(x))^3,x)","\frac{a^{3} \mathrm{sech}\left(x \right) \tanh \left(x \right)}{2}+a^{3} \arctan \left({\mathrm e}^{x}\right)-\frac{3 a^{2} b}{2 \cosh \left(x \right)^{2}}-\frac{3 a \,b^{2} \sinh \left(x \right)}{\cosh \left(x \right)^{2}}+\frac{3 a \,b^{2} \mathrm{sech}\left(x \right) \tanh \left(x \right)}{2}+3 a \,b^{2} \arctan \left({\mathrm e}^{x}\right)+b^{3} \ln \left(\cosh \left(x \right)\right)-\frac{b^{3} \left(\tanh^{2}\left(x \right)\right)}{2}"," ",0,"1/2*a^3*sech(x)*tanh(x)+a^3*arctan(exp(x))-3/2*a^2*b/cosh(x)^2-3*a*b^2/cosh(x)^2*sinh(x)+3/2*a*b^2*sech(x)*tanh(x)+3*a*b^2*arctan(exp(x))+b^3*ln(cosh(x))-1/2*b^3*tanh(x)^2","A"
617,1,26,29,0.353000," ","int((a*sech(x)+b*tanh(x))^2,x)","a^{2} \tanh \left(x \right)-\frac{2 a b}{\cosh \left(x \right)}+b^{2} \left(x -\tanh \left(x \right)\right)"," ",0,"a^2*tanh(x)-2*a*b/cosh(x)+b^2*(x-tanh(x))","A"
618,1,12,11,0.021000," ","int(a*sech(x)+b*tanh(x),x)","a \arctan \left(\sinh \left(x \right)\right)+b \ln \left(\cosh \left(x \right)\right)"," ",0,"a*arctan(sinh(x))+b*ln(cosh(x))","A"
619,1,50,11,0.213000," ","int(1/(a*sech(x)+b*tanh(x)),x)","-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{b}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{b}+\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)}{b}"," ",0,"-1/b*ln(tanh(1/2*x)-1)-1/b*ln(tanh(1/2*x)+1)+1/b*ln(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)","B"
620,1,119,56,0.281000," ","int(1/(a*sech(x)+b*tanh(x))^2,x)","-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{b^{2}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{b^{2}}+\frac{2 \tanh \left(\frac{x}{2}\right)}{\left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right) a}+\frac{2}{b \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)}-\frac{2 a \arctanh \left(\frac{2 a \tanh \left(\frac{x}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{b^{2} \sqrt{a^{2}+b^{2}}}"," ",0,"-1/b^2*ln(tanh(1/2*x)-1)+1/b^2*ln(tanh(1/2*x)+1)+2/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)/a*tanh(1/2*x)+2/b/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)-2/b^2*a/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))","B"
621,1,241,50,0.273000," ","int(1/(a*sech(x)+b*tanh(x))^3,x)","-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{b^{3}}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{b^{3}}+\frac{2 a \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{b^{2} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)^{2}}-\frac{2 \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{\left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)^{2} a}-\frac{6 \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{b \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)^{2}}+\frac{2 b \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{\left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)^{2} a^{2}}-\frac{2 a \tanh \left(\frac{x}{2}\right)}{b^{2} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)^{2}}+\frac{2 \tanh \left(\frac{x}{2}\right)}{\left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)^{2} a}+\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)}{b^{3}}"," ",0,"-1/b^3*ln(tanh(1/2*x)-1)-1/b^3*ln(tanh(1/2*x)+1)+2/b^2/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)^2*a*tanh(1/2*x)^3-2/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)^2/a*tanh(1/2*x)^3-6/b/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)^2*tanh(1/2*x)^2+2*b/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)^2/a^2*tanh(1/2*x)^2-2/b^2/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)^2*a*tanh(1/2*x)+2/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)^2/a*tanh(1/2*x)+1/b^3*ln(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)","B"
622,1,972,135,0.308000," ","int(1/(a*sech(x)+b*tanh(x))^4,x)","-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{b^{4}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{b^{4}}+\frac{2 b}{3 \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)^{3} \left(a^{2}+b^{2}\right)}+\frac{8 b^{2} \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{3 \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)^{3} a \left(a^{2}+b^{2}\right)}+\frac{8 b^{4} \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{3 \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)^{3} a^{3} \left(a^{2}+b^{2}\right)}-\frac{4 a^{4} \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{b^{3} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)^{3} \left(a^{2}+b^{2}\right)}+\frac{16 a^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{b \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)^{3} \left(a^{2}+b^{2}\right)}+\frac{4 b^{3} \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{\left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)^{3} a^{2} \left(a^{2}+b^{2}\right)}+\frac{11 a^{3} \tanh \left(\frac{x}{2}\right)}{b^{2} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)^{3} \left(a^{2}+b^{2}\right)}+\frac{2 b^{2} \tanh \left(\frac{x}{2}\right)}{\left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)^{3} a \left(a^{2}+b^{2}\right)}+\frac{a^{3} \left(\tanh^{5}\left(\frac{x}{2}\right)\right)}{b^{2} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)^{3} \left(a^{2}+b^{2}\right)}+\frac{2 b^{2} \left(\tanh^{5}\left(\frac{x}{2}\right)\right)}{\left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)^{3} a \left(a^{2}+b^{2}\right)}+\frac{2 a^{4} \left(\tanh^{4}\left(\frac{x}{2}\right)\right)}{b^{3} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)^{3} \left(a^{2}+b^{2}\right)}-\frac{3 a^{2} \left(\tanh^{4}\left(\frac{x}{2}\right)\right)}{b \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)^{3} \left(a^{2}+b^{2}\right)}-\frac{4 b^{3} \left(\tanh^{4}\left(\frac{x}{2}\right)\right)}{\left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)^{3} \left(a^{2}+b^{2}\right) a^{2}}-\frac{12 a^{3} \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{b^{2} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)^{3} \left(a^{2}+b^{2}\right)}-\frac{2 a^{3} \arctanh \left(\frac{2 a \tanh \left(\frac{x}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{b^{4} \left(a^{2}+b^{2}\right)^{\frac{3}{2}}}-\frac{3 a \arctanh \left(\frac{2 a \tanh \left(\frac{x}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{b^{2} \left(a^{2}+b^{2}\right)^{\frac{3}{2}}}+\frac{2 a \left(\tanh^{5}\left(\frac{x}{2}\right)\right)}{\left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)^{3} \left(a^{2}+b^{2}\right)}-\frac{4 b \left(\tanh^{4}\left(\frac{x}{2}\right)\right)}{\left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)^{3} \left(a^{2}+b^{2}\right)}-\frac{2 a \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{\left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)^{3} \left(a^{2}+b^{2}\right)}+\frac{14 b \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{\left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)^{3} \left(a^{2}+b^{2}\right)}+\frac{8 a \tanh \left(\frac{x}{2}\right)}{\left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)^{3} \left(a^{2}+b^{2}\right)}+\frac{2 a^{4}}{b^{3} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)^{3} \left(a^{2}+b^{2}\right)}+\frac{5 a^{2}}{3 b \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)^{3} \left(a^{2}+b^{2}\right)}"," ",0,"-1/b^4*ln(tanh(1/2*x)-1)+1/b^4*ln(tanh(1/2*x)+1)+2/3*b/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)^3/(a^2+b^2)+1/b^2/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)^3*a^3/(a^2+b^2)*tanh(1/2*x)^5+2*b^2/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)^3/a/(a^2+b^2)*tanh(1/2*x)^5+2/b^3/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)^3/(a^2+b^2)*a^4*tanh(1/2*x)^4-3/b/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)^3/(a^2+b^2)*a^2*tanh(1/2*x)^4-4*b^3/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)^3/(a^2+b^2)/a^2*tanh(1/2*x)^4-12/b^2/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)^3*a^3/(a^2+b^2)*tanh(1/2*x)^3+8/3*b^2/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)^3/a/(a^2+b^2)*tanh(1/2*x)^3+8/3*b^4/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)^3/a^3/(a^2+b^2)*tanh(1/2*x)^3-4/b^3/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)^3*a^4/(a^2+b^2)*tanh(1/2*x)^2+16/b/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)^3*a^2/(a^2+b^2)*tanh(1/2*x)^2+4*b^3/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)^3/a^2/(a^2+b^2)*tanh(1/2*x)^2+11/b^2/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)^3*a^3/(a^2+b^2)*tanh(1/2*x)+2*b^2/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)^3/a/(a^2+b^2)*tanh(1/2*x)+2/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)^3*a/(a^2+b^2)*tanh(1/2*x)^5-4*b/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)^3/(a^2+b^2)*tanh(1/2*x)^4-2/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)^3*a/(a^2+b^2)*tanh(1/2*x)^3+14*b/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)^3/(a^2+b^2)*tanh(1/2*x)^2+8/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)^3*a/(a^2+b^2)*tanh(1/2*x)+2/b^3/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)^3/(a^2+b^2)*a^4+5/3/b/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)^3/(a^2+b^2)*a^2-2/b^4*a^3/(a^2+b^2)^(3/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))-3/b^2*a/(a^2+b^2)^(3/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))","B"
623,1,721,92,0.335000," ","int(1/(a*sech(x)+b*tanh(x))^5,x)","-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{b^{5}}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{b^{5}}+\frac{2 a^{3} \left(\tanh^{7}\left(\frac{x}{2}\right)\right)}{b^{4} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)^{4}}-\frac{2 \left(\tanh^{7}\left(\frac{x}{2}\right)\right)}{\left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)^{4} a}-\frac{14 a^{2} \left(\tanh^{6}\left(\frac{x}{2}\right)\right)}{b^{3} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)^{4}}+\frac{6 b \left(\tanh^{6}\left(\frac{x}{2}\right)\right)}{\left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)^{4} a^{2}}-\frac{6 a^{3} \left(\tanh^{5}\left(\frac{x}{2}\right)\right)}{b^{4} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)^{4}}+\frac{104 a \left(\tanh^{5}\left(\frac{x}{2}\right)\right)}{3 b^{2} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)^{4}}+\frac{2 \left(\tanh^{5}\left(\frac{x}{2}\right)\right)}{3 \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)^{4} a}-\frac{8 b^{2} \left(\tanh^{5}\left(\frac{x}{2}\right)\right)}{\left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)^{4} a^{3}}+\frac{28 a^{2} \left(\tanh^{4}\left(\frac{x}{2}\right)\right)}{b^{3} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)^{4}}-\frac{100 \left(\tanh^{4}\left(\frac{x}{2}\right)\right)}{3 b \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)^{4}}-\frac{28 b \left(\tanh^{4}\left(\frac{x}{2}\right)\right)}{3 \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)^{4} a^{2}}+\frac{4 b^{3} \left(\tanh^{4}\left(\frac{x}{2}\right)\right)}{\left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)^{4} a^{4}}+\frac{6 a^{3} \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{b^{4} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)^{4}}-\frac{104 a \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{3 b^{2} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)^{4}}-\frac{2 \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{3 \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)^{4} a}+\frac{8 b^{2} \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{\left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)^{4} a^{3}}-\frac{14 a^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{b^{3} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)^{4}}+\frac{6 b \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{\left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)^{4} a^{2}}-\frac{2 a^{3} \tanh \left(\frac{x}{2}\right)}{b^{4} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)^{4}}+\frac{2 \tanh \left(\frac{x}{2}\right)}{\left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)^{4} a}+\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)}{b^{5}}"," ",0,"-1/b^5*ln(tanh(1/2*x)-1)-1/b^5*ln(tanh(1/2*x)+1)+2/b^4/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)^4*a^3*tanh(1/2*x)^7-2/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)^4/a*tanh(1/2*x)^7-14/b^3/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)^4*a^2*tanh(1/2*x)^6+6*b/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)^4/a^2*tanh(1/2*x)^6-6/b^4/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)^4*a^3*tanh(1/2*x)^5+104/3/b^2/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)^4*a*tanh(1/2*x)^5+2/3/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)^4/a*tanh(1/2*x)^5-8*b^2/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)^4/a^3*tanh(1/2*x)^5+28/b^3/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)^4*a^2*tanh(1/2*x)^4-100/3/b/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)^4*tanh(1/2*x)^4-28/3*b/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)^4/a^2*tanh(1/2*x)^4+4*b^3/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)^4/a^4*tanh(1/2*x)^4+6/b^4/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)^4*a^3*tanh(1/2*x)^3-104/3/b^2/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)^4*a*tanh(1/2*x)^3-2/3/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)^4/a*tanh(1/2*x)^3+8*b^2/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)^4/a^3*tanh(1/2*x)^3-14/b^3/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)^4*a^2*tanh(1/2*x)^2+6*b/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)^4/a^2*tanh(1/2*x)^2-2/b^4/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)^4*a^3*tanh(1/2*x)+2/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)^4/a*tanh(1/2*x)+1/b^5*ln(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)","B"
624,1,78,34,0.431000," ","int((sech(x)+I*tanh(x))^5,x)","\frac{8 \left(\frac{\mathrm{sech}\left(x \right)^{3}}{4}+\frac{3 \,\mathrm{sech}\left(x \right)}{8}\right) \tanh \left(x \right)}{3}+2 \arctan \left({\mathrm e}^{x}\right)+\frac{5 i}{4 \cosh \left(x \right)^{4}}-\frac{5 \sinh \left(x \right)}{3 \cosh \left(x \right)^{4}}+\frac{5 i \left(\sinh^{2}\left(x \right)\right)}{\cosh \left(x \right)^{4}}-\frac{5 \left(\sinh^{3}\left(x \right)\right)}{\cosh \left(x \right)^{4}}+i \ln \left(\cosh \left(x \right)\right)-\frac{i \left(\tanh^{2}\left(x \right)\right)}{2}-\frac{i \left(\tanh^{4}\left(x \right)\right)}{4}"," ",0,"8/3*(1/4*sech(x)^3+3/8*sech(x))*tanh(x)+2*arctan(exp(x))+5/4*I/cosh(x)^4-5/3*sinh(x)/cosh(x)^4+5*I*sinh(x)^2/cosh(x)^4-5*sinh(x)^3/cosh(x)^4+I*ln(cosh(x))-1/2*I*tanh(x)^2-1/4*I*tanh(x)^4","B"
625,1,60,32,0.339000," ","int((sech(x)+I*tanh(x))^4,x)","-2 \left(\frac{2}{3}+\frac{\mathrm{sech}\left(x \right)^{2}}{3}\right) \tanh \left(x \right)-\frac{4 i}{3 \cosh \left(x \right)^{3}}+\frac{3 \sinh \left(x \right)}{\cosh \left(x \right)^{3}}-4 i \left(-\frac{\sinh^{2}\left(x \right)}{\cosh \left(x \right)^{3}}-\frac{2}{3 \cosh \left(x \right)^{3}}\right)+x -\tanh \left(x \right)-\frac{\left(\tanh^{3}\left(x \right)\right)}{3}"," ",0,"-2*(2/3+1/3*sech(x)^2)*tanh(x)-4/3*I/cosh(x)^3+3*sinh(x)/cosh(x)^3-4*I*(-sinh(x)^2/cosh(x)^3-2/3/cosh(x)^3)+x-tanh(x)-1/3*tanh(x)^3","A"
626,1,41,22,0.342000," ","int((sech(x)+I*tanh(x))^3,x)","-\mathrm{sech}\left(x \right) \tanh \left(x \right)-2 \arctan \left({\mathrm e}^{x}\right)-\frac{3 i}{2 \cosh \left(x \right)^{2}}+\frac{3 \sinh \left(x \right)}{\cosh \left(x \right)^{2}}-i \ln \left(\cosh \left(x \right)\right)+\frac{i \left(\tanh^{2}\left(x \right)\right)}{2}"," ",0,"-sech(x)*tanh(x)-2*arctan(exp(x))-3/2*I/cosh(x)^2+3/cosh(x)^2*sinh(x)-I*ln(cosh(x))+1/2*I*tanh(x)^2","A"
627,1,16,18,0.357000," ","int((sech(x)+I*tanh(x))^2,x)","2 \tanh \left(x \right)-\frac{2 i}{\cosh \left(x \right)}-x"," ",0,"2*tanh(x)-2*I/cosh(x)-x","A"
628,1,11,10,0.019000," ","int(sech(x)+I*tanh(x),x)","\arctan \left(\sinh \left(x \right)\right)+i \ln \left(\cosh \left(x \right)\right)"," ",0,"arctan(sinh(x))+I*ln(cosh(x))","A"
629,1,33,11,0.238000," ","int(1/(sech(x)+I*tanh(x)),x)","i \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)+i \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)-2 i \ln \left(\tanh \left(\frac{x}{2}\right)-i\right)"," ",0,"I*ln(tanh(1/2*x)-1)+I*ln(tanh(1/2*x)+1)-2*I*ln(tanh(1/2*x)-I)","B"
630,1,29,18,0.283000," ","int(1/(sech(x)+I*tanh(x))^2,x)","\frac{4}{\tanh \left(\frac{x}{2}\right)-i}+\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)-\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)"," ",0,"4/(tanh(1/2*x)-I)+ln(tanh(1/2*x)-1)-ln(tanh(1/2*x)+1)","A"
631,1,56,24,0.345000," ","int(1/(sech(x)+I*tanh(x))^3,x)","-i \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)-i \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)+2 i \ln \left(\tanh \left(\frac{x}{2}\right)-i\right)-\frac{4 i}{\left(\tanh \left(\frac{x}{2}\right)-i\right)^{2}}-\frac{4}{\tanh \left(\frac{x}{2}\right)-i}"," ",0,"-I*ln(tanh(1/2*x)-1)-I*ln(tanh(1/2*x)+1)+2*I*ln(tanh(1/2*x)-I)-4*I/(tanh(1/2*x)-I)^2-4/(tanh(1/2*x)-I)","B"
632,1,41,32,0.360000," ","int(1/(sech(x)+I*tanh(x))^4,x)","-\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)+\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)+\frac{8 i}{\left(\tanh \left(\frac{x}{2}\right)-i\right)^{2}}-\frac{16}{3 \left(\tanh \left(\frac{x}{2}\right)-i\right)^{3}}"," ",0,"-ln(tanh(1/2*x)-1)+ln(tanh(1/2*x)+1)+8*I/(tanh(1/2*x)-I)^2-16/3/(tanh(1/2*x)-I)^3","A"
633,1,68,36,0.418000," ","int(1/(sech(x)+I*tanh(x))^5,x)","i \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)+i \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)+\frac{8 i}{\left(\tanh \left(\frac{x}{2}\right)-i\right)^{4}}-2 i \ln \left(\tanh \left(\frac{x}{2}\right)-i\right)-\frac{8 i}{\left(\tanh \left(\frac{x}{2}\right)-i\right)^{2}}+\frac{16}{\left(\tanh \left(\frac{x}{2}\right)-i\right)^{3}}"," ",0,"I*ln(tanh(1/2*x)-1)+I*ln(tanh(1/2*x)+1)+8*I/(tanh(1/2*x)-I)^4-2*I*ln(tanh(1/2*x)-I)-8*I/(tanh(1/2*x)-I)^2+16/(tanh(1/2*x)-I)^3","A"
634,1,78,36,0.388000," ","int((sech(x)-I*tanh(x))^5,x)","\frac{8 \left(\frac{\mathrm{sech}\left(x \right)^{3}}{4}+\frac{3 \,\mathrm{sech}\left(x \right)}{8}\right) \tanh \left(x \right)}{3}+2 \arctan \left({\mathrm e}^{x}\right)-\frac{5 i}{4 \cosh \left(x \right)^{4}}-\frac{5 \sinh \left(x \right)}{3 \cosh \left(x \right)^{4}}-\frac{5 i \left(\sinh^{2}\left(x \right)\right)}{\cosh \left(x \right)^{4}}-\frac{5 \left(\sinh^{3}\left(x \right)\right)}{\cosh \left(x \right)^{4}}-i \ln \left(\cosh \left(x \right)\right)+\frac{i \left(\tanh^{2}\left(x \right)\right)}{2}+\frac{i \left(\tanh^{4}\left(x \right)\right)}{4}"," ",0,"8/3*(1/4*sech(x)^3+3/8*sech(x))*tanh(x)+2*arctan(exp(x))-5/4*I/cosh(x)^4-5/3*sinh(x)/cosh(x)^4-5*I*sinh(x)^2/cosh(x)^4-5*sinh(x)^3/cosh(x)^4-I*ln(cosh(x))+1/2*I*tanh(x)^2+1/4*I*tanh(x)^4","B"
635,1,60,32,0.357000," ","int((sech(x)-I*tanh(x))^4,x)","-2 \left(\frac{2}{3}+\frac{\mathrm{sech}\left(x \right)^{2}}{3}\right) \tanh \left(x \right)+\frac{4 i}{3 \cosh \left(x \right)^{3}}+\frac{3 \sinh \left(x \right)}{\cosh \left(x \right)^{3}}+4 i \left(-\frac{\sinh^{2}\left(x \right)}{\cosh \left(x \right)^{3}}-\frac{2}{3 \cosh \left(x \right)^{3}}\right)+x -\tanh \left(x \right)-\frac{\left(\tanh^{3}\left(x \right)\right)}{3}"," ",0,"-2*(2/3+1/3*sech(x)^2)*tanh(x)+4/3*I/cosh(x)^3+3*sinh(x)/cosh(x)^3+4*I*(-sinh(x)^2/cosh(x)^3-2/3/cosh(x)^3)+x-tanh(x)-1/3*tanh(x)^3","A"
636,1,41,24,0.371000," ","int((sech(x)-I*tanh(x))^3,x)","-\mathrm{sech}\left(x \right) \tanh \left(x \right)-2 \arctan \left({\mathrm e}^{x}\right)+\frac{3 i}{2 \cosh \left(x \right)^{2}}+\frac{3 \sinh \left(x \right)}{\cosh \left(x \right)^{2}}+i \ln \left(\cosh \left(x \right)\right)-\frac{i \left(\tanh^{2}\left(x \right)\right)}{2}"," ",0,"-sech(x)*tanh(x)-2*arctan(exp(x))+3/2*I/cosh(x)^2+3/cosh(x)^2*sinh(x)+I*ln(cosh(x))-1/2*I*tanh(x)^2","A"
637,1,16,18,0.354000," ","int((sech(x)-I*tanh(x))^2,x)","2 \tanh \left(x \right)+\frac{2 i}{\cosh \left(x \right)}-x"," ",0,"2*tanh(x)+2*I/cosh(x)-x","A"
638,1,11,10,0.019000," ","int(sech(x)-I*tanh(x),x)","\arctan \left(\sinh \left(x \right)\right)-i \ln \left(\cosh \left(x \right)\right)"," ",0,"arctan(sinh(x))-I*ln(cosh(x))","A"
639,1,33,9,0.229000," ","int(1/(sech(x)-I*tanh(x)),x)","-i \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)-i \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)+2 i \ln \left(\tanh \left(\frac{x}{2}\right)+i\right)"," ",0,"-I*ln(tanh(1/2*x)-1)-I*ln(tanh(1/2*x)+1)+2*I*ln(tanh(1/2*x)+I)","B"
640,1,29,18,0.286000," ","int(1/(sech(x)-I*tanh(x))^2,x)","\frac{4}{\tanh \left(\frac{x}{2}\right)+i}+\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)-\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)"," ",0,"4/(tanh(1/2*x)+I)+ln(tanh(1/2*x)-1)-ln(tanh(1/2*x)+1)","A"
641,1,56,22,0.409000," ","int(1/(sech(x)-I*tanh(x))^3,x)","i \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)+i \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)+\frac{4 i}{\left(\tanh \left(\frac{x}{2}\right)+i\right)^{2}}-2 i \ln \left(\tanh \left(\frac{x}{2}\right)+i\right)-\frac{4}{\tanh \left(\frac{x}{2}\right)+i}"," ",0,"I*ln(tanh(1/2*x)-1)+I*ln(tanh(1/2*x)+1)+4*I/(tanh(1/2*x)+I)^2-2*I*ln(tanh(1/2*x)+I)-4/(tanh(1/2*x)+I)","B"
642,1,41,32,0.405000," ","int(1/(sech(x)-I*tanh(x))^4,x)","-\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)+\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)-\frac{8 i}{\left(\tanh \left(\frac{x}{2}\right)+i\right)^{2}}-\frac{16}{3 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{3}}"," ",0,"-ln(tanh(1/2*x)-1)+ln(tanh(1/2*x)+1)-8*I/(tanh(1/2*x)+I)^2-16/3/(tanh(1/2*x)+I)^3","A"
643,1,68,34,0.401000," ","int(1/(sech(x)-I*tanh(x))^5,x)","-i \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)-i \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)+\frac{8 i}{\left(\tanh \left(\frac{x}{2}\right)+i\right)^{2}}+2 i \ln \left(\tanh \left(\frac{x}{2}\right)+i\right)-\frac{8 i}{\left(\tanh \left(\frac{x}{2}\right)+i\right)^{4}}+\frac{16}{\left(\tanh \left(\frac{x}{2}\right)+i\right)^{3}}"," ",0,"-I*ln(tanh(1/2*x)-1)-I*ln(tanh(1/2*x)+1)+8*I/(tanh(1/2*x)+I)^2+2*I*ln(tanh(1/2*x)+I)-8*I/(tanh(1/2*x)+I)^4+16/(tanh(1/2*x)+I)^3","A"
644,1,201,116,0.381000," ","int((a*coth(x)+b*csch(x))^5,x)","a^{5} \ln \left(\sinh \left(x \right)\right)-\frac{a^{5} \left(\coth^{2}\left(x \right)\right)}{2}-\frac{a^{5} \left(\coth^{4}\left(x \right)\right)}{4}-\frac{5 a^{4} b \left(\cosh^{3}\left(x \right)\right)}{\sinh \left(x \right)^{4}}+\frac{5 a^{4} b \cosh \left(x \right)}{\sinh \left(x \right)^{4}}-\frac{5 a^{4} b \coth \left(x \right) \mathrm{csch}\left(x \right)^{3}}{4}+\frac{15 a^{4} b \,\mathrm{csch}\left(x \right) \coth \left(x \right)}{8}-\frac{15 a^{4} b \arctanh \left({\mathrm e}^{x}\right)}{4}-\frac{5 a^{3} b^{2} \left(\cosh^{2}\left(x \right)\right)}{\sinh \left(x \right)^{4}}+\frac{5 a^{3} b^{2}}{2 \sinh \left(x \right)^{4}}-\frac{10 a^{2} b^{3} \cosh \left(x \right)}{3 \sinh \left(x \right)^{4}}+\frac{5 a^{2} b^{3} \coth \left(x \right) \mathrm{csch}\left(x \right)^{3}}{6}-\frac{5 a^{2} b^{3} \mathrm{csch}\left(x \right) \coth \left(x \right)}{4}+\frac{5 a^{2} b^{3} \arctanh \left({\mathrm e}^{x}\right)}{2}-\frac{5 a \,b^{4}}{4 \sinh \left(x \right)^{4}}-\frac{b^{5} \coth \left(x \right) \mathrm{csch}\left(x \right)^{3}}{4}+\frac{3 b^{5} \mathrm{csch}\left(x \right) \coth \left(x \right)}{8}-\frac{3 b^{5} \arctanh \left({\mathrm e}^{x}\right)}{4}"," ",0,"a^5*ln(sinh(x))-1/2*a^5*coth(x)^2-1/4*a^5*coth(x)^4-5*a^4*b/sinh(x)^4*cosh(x)^3+5*a^4*b/sinh(x)^4*cosh(x)-5/4*a^4*b*coth(x)*csch(x)^3+15/8*a^4*b*csch(x)*coth(x)-15/4*a^4*b*arctanh(exp(x))-5*a^3*b^2/sinh(x)^4*cosh(x)^2+5/2*a^3*b^2/sinh(x)^4-10/3*a^2*b^3/sinh(x)^4*cosh(x)+5/6*a^2*b^3*coth(x)*csch(x)^3-5/4*a^2*b^3*csch(x)*coth(x)+5/2*a^2*b^3*arctanh(exp(x))-5/4*a*b^4/sinh(x)^4-1/4*b^5*coth(x)*csch(x)^3+3/8*b^5*csch(x)*coth(x)-3/4*b^5*arctanh(exp(x))","A"
645,1,94,93,0.349000," ","int((a*coth(x)+b*csch(x))^4,x)","a^{4} \left(x -\coth \left(x \right)-\frac{\left(\coth^{3}\left(x \right)\right)}{3}\right)+4 a^{3} b \left(-\frac{\cosh^{2}\left(x \right)}{\sinh \left(x \right)^{3}}+\frac{2}{3 \sinh \left(x \right)^{3}}\right)+6 a^{2} b^{2} \left(-\frac{\cosh \left(x \right)}{2 \sinh \left(x \right)^{3}}-\frac{\left(\frac{2}{3}-\frac{\mathrm{csch}\left(x \right)^{2}}{3}\right) \coth \left(x \right)}{2}\right)-\frac{4 a \,b^{3}}{3 \sinh \left(x \right)^{3}}+b^{4} \left(\frac{2}{3}-\frac{\mathrm{csch}\left(x \right)^{2}}{3}\right) \coth \left(x \right)"," ",0,"a^4*(x-coth(x)-1/3*coth(x)^3)+4*a^3*b*(-1/sinh(x)^3*cosh(x)^2+2/3/sinh(x)^3)+6*a^2*b^2*(-1/2/sinh(x)^3*cosh(x)-1/2*(2/3-1/3*csch(x)^2)*coth(x))-4/3*a*b^3/sinh(x)^3+b^4*(2/3-1/3*csch(x)^2)*coth(x)","A"
646,1,75,53,0.363000," ","int((a*coth(x)+b*csch(x))^3,x)","a^{3} \ln \left(\sinh \left(x \right)\right)-\frac{a^{3} \left(\coth^{2}\left(x \right)\right)}{2}-\frac{3 a^{2} b \cosh \left(x \right)}{\sinh \left(x \right)^{2}}+\frac{3 a^{2} b \,\mathrm{csch}\left(x \right) \coth \left(x \right)}{2}-3 a^{2} b \arctanh \left({\mathrm e}^{x}\right)-\frac{3 a \,b^{2}}{2 \sinh \left(x \right)^{2}}-\frac{b^{3} \mathrm{csch}\left(x \right) \coth \left(x \right)}{2}+b^{3} \arctanh \left({\mathrm e}^{x}\right)"," ",0,"a^3*ln(sinh(x))-1/2*a^3*coth(x)^2-3*a^2*b/sinh(x)^2*cosh(x)+3/2*a^2*b*csch(x)*coth(x)-3*a^2*b*arctanh(exp(x))-3/2*a*b^2/sinh(x)^2-1/2*b^3*csch(x)*coth(x)+b^3*arctanh(exp(x))","A"
647,1,27,27,0.343000," ","int((a*coth(x)+b*csch(x))^2,x)","a^{2} \left(x -\coth \left(x \right)\right)-\frac{2 a b}{\sinh \left(x \right)}-b^{2} \coth \left(x \right)"," ",0,"a^2*(x-coth(x))-2*a*b/sinh(x)-b^2*coth(x)","A"
648,1,14,12,0.018000," ","int(a*coth(x)+b*csch(x),x)","a \ln \left(\sinh \left(x \right)\right)+b \ln \left(\tanh \left(\frac{x}{2}\right)\right)"," ",0,"a*ln(sinh(x))+b*ln(tanh(1/2*x))","A"
649,1,51,11,0.211000," ","int(1/(a*coth(x)+b*csch(x)),x)","-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{a}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{a}+\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +a +b \right)}{a}"," ",0,"-1/a*ln(tanh(1/2*x)-1)-1/a*ln(tanh(1/2*x)+1)+1/a*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b+a+b)","B"
650,1,95,57,0.217000," ","int(1/(a*coth(x)+b*csch(x))^2,x)","-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{a^{2}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{a^{2}}-\frac{2 \tanh \left(\frac{x}{2}\right)}{a \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +a +b \right)}-\frac{2 b \arctan \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{a^{2} \sqrt{\left(a +b \right) \left(a -b \right)}}"," ",0,"-1/a^2*ln(tanh(1/2*x)-1)+1/a^2*ln(tanh(1/2*x)+1)-2/a*tanh(1/2*x)/(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b+a+b)-2/a^2*b/((a+b)*(a-b))^(1/2)*arctan((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))","A"
651,1,144,48,0.218000," ","int(1/(a*coth(x)+b*csch(x))^3,x)","-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{a^{3}}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{a^{3}}-\frac{2}{a^{2} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +a +b \right)}+\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +a +b \right)}{a^{3}}+\frac{2}{\left(a -b \right) \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +a +b \right)^{2}}+\frac{2 b}{a \left(a -b \right) \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +a +b \right)^{2}}"," ",0,"-1/a^3*ln(tanh(1/2*x)-1)-1/a^3*ln(tanh(1/2*x)+1)-2/a^2/(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b+a+b)+1/a^3*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b+a+b)+2/(a-b)/(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b+a+b)^2+2/a/(a-b)/(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b+a+b)^2*b","B"
652,1,507,142,0.234000," ","int(1/(a*coth(x)+b*csch(x))^4,x)","-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{a^{4}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{a^{4}}-\frac{2 \left(\tanh^{5}\left(\frac{x}{2}\right)\right)}{\left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +a +b \right)^{3} \left(a +b \right)}+\frac{\left(\tanh^{5}\left(\frac{x}{2}\right)\right) b}{a \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +a +b \right)^{3} \left(a +b \right)}+\frac{3 \left(\tanh^{5}\left(\frac{x}{2}\right)\right) b^{2}}{a^{2} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +a +b \right)^{3} \left(a +b \right)}-\frac{2 \left(\tanh^{5}\left(\frac{x}{2}\right)\right) b^{3}}{a^{3} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +a +b \right)^{3} \left(a +b \right)}-\frac{20 \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{3 a \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +a +b \right)^{3}}+\frac{4 \left(\tanh^{3}\left(\frac{x}{2}\right)\right) b^{2}}{a^{3} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +a +b \right)^{3}}-\frac{2 \tanh \left(\frac{x}{2}\right)}{\left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +a +b \right)^{3} \left(a -b \right)}-\frac{\tanh \left(\frac{x}{2}\right) b}{a \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +a +b \right)^{3} \left(a -b \right)}+\frac{3 \tanh \left(\frac{x}{2}\right) b^{2}}{a^{2} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +a +b \right)^{3} \left(a -b \right)}+\frac{2 \tanh \left(\frac{x}{2}\right) b^{3}}{a^{3} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +a +b \right)^{3} \left(a -b \right)}-\frac{3 b \arctan \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{a^{2} \left(a^{2}-b^{2}\right) \sqrt{\left(a +b \right) \left(a -b \right)}}+\frac{2 b^{3} \arctan \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{a^{4} \left(a^{2}-b^{2}\right) \sqrt{\left(a +b \right) \left(a -b \right)}}"," ",0,"-1/a^4*ln(tanh(1/2*x)-1)+1/a^4*ln(tanh(1/2*x)+1)-2/(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b+a+b)^3/(a+b)*tanh(1/2*x)^5+1/a/(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b+a+b)^3/(a+b)*tanh(1/2*x)^5*b+3/a^2/(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b+a+b)^3/(a+b)*tanh(1/2*x)^5*b^2-2/a^3/(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b+a+b)^3/(a+b)*tanh(1/2*x)^5*b^3-20/3/a/(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b+a+b)^3*tanh(1/2*x)^3+4/a^3/(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b+a+b)^3*tanh(1/2*x)^3*b^2-2/(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b+a+b)^3/(a-b)*tanh(1/2*x)-1/a/(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b+a+b)^3/(a-b)*tanh(1/2*x)*b+3/a^2/(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b+a+b)^3/(a-b)*tanh(1/2*x)*b^2+2/a^3/(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b+a+b)^3/(a-b)*tanh(1/2*x)*b^3-3/a^2*b/(a^2-b^2)/((a+b)*(a-b))^(1/2)*arctan((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))+2/a^4*b^3/(a^2-b^2)/((a+b)*(a-b))^(1/2)*arctan((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))","B"
653,1,309,94,0.236000," ","int(1/(a*coth(x)+b*csch(x))^5,x)","-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{a^{5}}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{a^{5}}+\frac{8}{\left(a -b \right)^{2} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +a +b \right)^{3}}+\frac{16 b}{3 a \left(a -b \right)^{2} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +a +b \right)^{3}}-\frac{8 b^{2}}{3 a^{2} \left(a -b \right)^{2} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +a +b \right)^{3}}+\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +a +b \right)}{a^{5}}-\frac{2}{a^{3} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +a +b \right)^{2}}-\frac{4 a}{\left(a -b \right)^{2} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +a +b \right)^{4}}-\frac{8 b}{\left(a -b \right)^{2} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +a +b \right)^{4}}-\frac{4 b^{2}}{a \left(a -b \right)^{2} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +a +b \right)^{4}}-\frac{2}{a^{4} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +a +b \right)}"," ",0,"-1/a^5*ln(tanh(1/2*x)-1)-1/a^5*ln(tanh(1/2*x)+1)+8/(a-b)^2/(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b+a+b)^3+16/3/a/(a-b)^2/(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b+a+b)^3*b-8/3/a^2/(a-b)^2/(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b+a+b)^3*b^2+1/a^5*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b+a+b)-2/a^3/(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b+a+b)^2-4*a/(a-b)^2/(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b+a+b)^4-8/(a-b)^2/(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b+a+b)^4*b-4/a/(a-b)^2/(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b+a+b)^4*b^2-2/a^4/(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b+a+b)","B"
654,1,71,28,0.324000," ","int((coth(x)+csch(x))^5,x)","\ln \left(\sinh \left(x \right)\right)-\frac{\left(\coth^{2}\left(x \right)\right)}{2}-\frac{\left(\coth^{4}\left(x \right)\right)}{4}-\frac{5 \left(\cosh^{3}\left(x \right)\right)}{\sinh \left(x \right)^{4}}+\frac{5 \cosh \left(x \right)}{3 \sinh \left(x \right)^{4}}+\frac{8 \left(-\frac{\mathrm{csch}\left(x \right)^{3}}{4}+\frac{3 \,\mathrm{csch}\left(x \right)}{8}\right) \coth \left(x \right)}{3}-2 \arctanh \left({\mathrm e}^{x}\right)-\frac{5 \left(\cosh^{2}\left(x \right)\right)}{\sinh \left(x \right)^{4}}+\frac{5}{4 \sinh \left(x \right)^{4}}"," ",0,"ln(sinh(x))-1/2*coth(x)^2-1/4*coth(x)^4-5/sinh(x)^4*cosh(x)^3+5/3/sinh(x)^4*cosh(x)+8/3*(-1/4*csch(x)^3+3/8*csch(x))*coth(x)-2*arctanh(exp(x))-5/sinh(x)^4*cosh(x)^2+5/4/sinh(x)^4","B"
655,1,49,28,0.371000," ","int((coth(x)+csch(x))^4,x)","x -\coth \left(x \right)-\frac{\left(\coth^{3}\left(x \right)\right)}{3}-\frac{4 \left(\cosh^{2}\left(x \right)\right)}{\sinh \left(x \right)^{3}}+\frac{4}{3 \sinh \left(x \right)^{3}}-\frac{3 \cosh \left(x \right)}{\sinh \left(x \right)^{3}}-2 \left(\frac{2}{3}-\frac{\mathrm{csch}\left(x \right)^{2}}{3}\right) \coth \left(x \right)"," ",0,"x-coth(x)-1/3*coth(x)^3-4/sinh(x)^3*cosh(x)^2+4/3/sinh(x)^3-3/sinh(x)^3*cosh(x)-2*(2/3-1/3*csch(x)^2)*coth(x)","A"
656,1,35,18,0.367000," ","int((coth(x)+csch(x))^3,x)","\ln \left(\sinh \left(x \right)\right)-\frac{\left(\coth^{2}\left(x \right)\right)}{2}-\frac{3 \cosh \left(x \right)}{\sinh \left(x \right)^{2}}+\coth \left(x \right) \mathrm{csch}\left(x \right)-2 \arctanh \left({\mathrm e}^{x}\right)-\frac{3}{2 \sinh \left(x \right)^{2}}"," ",0,"ln(sinh(x))-1/2*coth(x)^2-3/sinh(x)^2*cosh(x)+coth(x)*csch(x)-2*arctanh(exp(x))-3/2/sinh(x)^2","A"
657,1,13,14,0.371000," ","int((coth(x)+csch(x))^2,x)","x -2 \coth \left(x \right)-\frac{2}{\sinh \left(x \right)}"," ",0,"x-2*coth(x)-2/sinh(x)","A"
658,1,10,9,0.029000," ","int(coth(x)+csch(x),x)","\ln \left(\sinh \left(x \right)\right)+\ln \left(\tanh \left(\frac{x}{2}\right)\right)"," ",0,"ln(sinh(x))+ln(tanh(1/2*x))","A"
659,1,20,5,0.209000," ","int(1/(coth(x)+csch(x)),x)","-\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)-\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)"," ",0,"-ln(tanh(1/2*x)-1)-ln(tanh(1/2*x)+1)","B"
660,1,24,12,0.194000," ","int(1/(coth(x)+csch(x))^2,x)","-2 \tanh \left(\frac{x}{2}\right)-\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)+\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)"," ",0,"-2*tanh(1/2*x)-ln(tanh(1/2*x)-1)+ln(tanh(1/2*x)+1)","A"
661,1,28,14,0.193000," ","int(1/(coth(x)+csch(x))^3,x)","-\left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)-\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)"," ",0,"-tanh(1/2*x)^2-ln(tanh(1/2*x)-1)-ln(tanh(1/2*x)+1)","A"
662,1,32,24,0.206000," ","int(1/(coth(x)+csch(x))^4,x)","-\frac{2 \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{3}-2 \tanh \left(\frac{x}{2}\right)-\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)+\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)"," ",0,"-2/3*tanh(1/2*x)^3-2*tanh(1/2*x)-ln(tanh(1/2*x)-1)+ln(tanh(1/2*x)+1)","A"
663,1,36,22,0.200000," ","int(1/(coth(x)+csch(x))^5,x)","-\frac{\left(\tanh^{4}\left(\frac{x}{2}\right)\right)}{2}-\left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)-\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)"," ",0,"-1/2*tanh(1/2*x)^4-tanh(1/2*x)^2-ln(tanh(1/2*x)-1)-ln(tanh(1/2*x)+1)","A"
664,1,73,24,0.346000," ","int((-coth(x)+csch(x))^5,x)","-\ln \left(\sinh \left(x \right)\right)+\frac{\left(\coth^{2}\left(x \right)\right)}{2}+\frac{\left(\coth^{4}\left(x \right)\right)}{4}-\frac{5 \left(\cosh^{3}\left(x \right)\right)}{\sinh \left(x \right)^{4}}+\frac{5 \cosh \left(x \right)}{3 \sinh \left(x \right)^{4}}+\frac{8 \left(-\frac{\mathrm{csch}\left(x \right)^{3}}{4}+\frac{3 \,\mathrm{csch}\left(x \right)}{8}\right) \coth \left(x \right)}{3}-2 \arctanh \left({\mathrm e}^{x}\right)+\frac{5 \left(\cosh^{2}\left(x \right)\right)}{\sinh \left(x \right)^{4}}-\frac{5}{4 \sinh \left(x \right)^{4}}"," ",0,"-ln(sinh(x))+1/2*coth(x)^2+1/4*coth(x)^4-5/sinh(x)^4*cosh(x)^3+5/3/sinh(x)^4*cosh(x)+8/3*(-1/4*csch(x)^3+3/8*csch(x))*coth(x)-2*arctanh(exp(x))+5/sinh(x)^4*cosh(x)^2-5/4/sinh(x)^4","B"
665,1,49,24,0.369000," ","int((-coth(x)+csch(x))^4,x)","x -\coth \left(x \right)-\frac{\left(\coth^{3}\left(x \right)\right)}{3}+\frac{4 \left(\cosh^{2}\left(x \right)\right)}{\sinh \left(x \right)^{3}}-\frac{4}{3 \sinh \left(x \right)^{3}}-\frac{3 \cosh \left(x \right)}{\sinh \left(x \right)^{3}}-2 \left(\frac{2}{3}-\frac{\mathrm{csch}\left(x \right)^{2}}{3}\right) \coth \left(x \right)"," ",0,"x-coth(x)-1/3*coth(x)^3+4/sinh(x)^3*cosh(x)^2-4/3/sinh(x)^3-3/sinh(x)^3*cosh(x)-2*(2/3-1/3*csch(x)^2)*coth(x)","A"
666,1,37,16,0.373000," ","int((-coth(x)+csch(x))^3,x)","-\ln \left(\sinh \left(x \right)\right)+\frac{\left(\coth^{2}\left(x \right)\right)}{2}-\frac{3 \cosh \left(x \right)}{\sinh \left(x \right)^{2}}+\coth \left(x \right) \mathrm{csch}\left(x \right)-2 \arctanh \left({\mathrm e}^{x}\right)+\frac{3}{2 \sinh \left(x \right)^{2}}"," ",0,"-ln(sinh(x))+1/2*coth(x)^2-3/sinh(x)^2*cosh(x)+coth(x)*csch(x)-2*arctanh(exp(x))+3/2/sinh(x)^2","B"
667,1,13,12,0.367000," ","int((-coth(x)+csch(x))^2,x)","x -2 \coth \left(x \right)+\frac{2}{\sinh \left(x \right)}"," ",0,"x-2*coth(x)+2/sinh(x)","A"
668,1,12,11,0.023000," ","int(-coth(x)+csch(x),x)","-\ln \left(\sinh \left(x \right)\right)+\ln \left(\tanh \left(\frac{x}{2}\right)\right)"," ",0,"-ln(sinh(x))+ln(tanh(1/2*x))","A"
669,1,23,9,0.191000," ","int(1/(-coth(x)+csch(x)),x)","\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)+\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)-2 \ln \left(\tanh \left(\frac{x}{2}\right)\right)"," ",0,"ln(tanh(1/2*x)-1)+ln(tanh(1/2*x)+1)-2*ln(tanh(1/2*x))","B"
670,1,26,14,0.200000," ","int(1/(-coth(x)+csch(x))^2,x)","-\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)+\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)-\frac{2}{\tanh \left(\frac{x}{2}\right)}"," ",0,"-ln(tanh(1/2*x)-1)+ln(tanh(1/2*x)+1)-2/tanh(1/2*x)","A"
671,1,29,20,0.198000," ","int(1/(-coth(x)+csch(x))^3,x)","\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)+\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)+\frac{1}{\tanh \left(\frac{x}{2}\right)^{2}}-2 \ln \left(\tanh \left(\frac{x}{2}\right)\right)"," ",0,"ln(tanh(1/2*x)-1)+ln(tanh(1/2*x)+1)+1/tanh(1/2*x)^2-2*ln(tanh(1/2*x))","A"
672,1,34,28,0.216000," ","int(1/(-coth(x)+csch(x))^4,x)","-\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)+\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)-\frac{2}{3 \tanh \left(\frac{x}{2}\right)^{3}}-\frac{2}{\tanh \left(\frac{x}{2}\right)}"," ",0,"-ln(tanh(1/2*x)-1)+ln(tanh(1/2*x)+1)-2/3/tanh(1/2*x)^3-2/tanh(1/2*x)","A"
673,1,37,30,0.213000," ","int(1/(-coth(x)+csch(x))^5,x)","\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)+\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)+\frac{1}{2 \tanh \left(\frac{x}{2}\right)^{4}}+\frac{1}{\tanh \left(\frac{x}{2}\right)^{2}}-2 \ln \left(\tanh \left(\frac{x}{2}\right)\right)"," ",0,"ln(tanh(1/2*x)-1)+ln(tanh(1/2*x)+1)+1/2/tanh(1/2*x)^4+1/tanh(1/2*x)^2-2*ln(tanh(1/2*x))","A"
674,1,9,8,0.022000," ","int(csch(x)+sinh(x),x)","\ln \left(\tanh \left(\frac{x}{2}\right)\right)+\cosh \left(x \right)"," ",0,"ln(tanh(1/2*x))+cosh(x)","A"
675,1,15,16,0.404000," ","int((csch(x)+sinh(x))^2,x)","-\coth \left(x \right)+\frac{3 x}{2}+\frac{\cosh \left(x \right) \sinh \left(x \right)}{2}"," ",0,"-coth(x)+3/2*x+1/2*cosh(x)*sinh(x)","A"
676,1,28,26,0.470000," ","int((csch(x)+sinh(x))^3,x)","-\frac{\coth \left(x \right) \mathrm{csch}\left(x \right)}{2}-5 \arctanh \left({\mathrm e}^{x}\right)+3 \cosh \left(x \right)+\left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(x \right)\right)}{3}\right) \cosh \left(x \right)"," ",0,"-1/2*coth(x)*csch(x)-5*arctanh(exp(x))+3*cosh(x)+(-2/3+1/3*sinh(x)^2)*cosh(x)","A"
677,1,42,11,0.584000," ","int((csch(x)+sinh(x))^(1/2),x)","\frac{\sqrt{2}\, \sqrt{\frac{\left(1+{\mathrm e}^{2 x}\right)^{2} {\mathrm e}^{-x}}{{\mathrm e}^{2 x}-1}}\, \left({\mathrm e}^{2 x}-1\right)}{1+{\mathrm e}^{2 x}}"," ",0,"2^(1/2)*((1+exp(2*x))^2*exp(-x)/(exp(2*x)-1))^(1/2)/(1+exp(2*x))*(exp(2*x)-1)","B"
678,0,0,23,0.494000," ","int((csch(x)+sinh(x))^(3/2),x)","\int \left(\mathrm{csch}\left(x \right)+\sinh \left(x \right)\right)^{\frac{3}{2}}\, dx"," ",0,"int((csch(x)+sinh(x))^(3/2),x)","F"
679,0,0,38,0.481000," ","int((csch(x)+sinh(x))^(5/2),x)","\int \left(\mathrm{csch}\left(x \right)+\sinh \left(x \right)\right)^{\frac{5}{2}}\, dx"," ",0,"int((csch(x)+sinh(x))^(5/2),x)","F"
680,1,9,8,0.018000," ","int(-cosh(x)+sech(x),x)","\arctan \left(\sinh \left(x \right)\right)-\sinh \left(x \right)"," ",0,"arctan(sinh(x))-sinh(x)","A"
681,1,13,16,0.353000," ","int((-cosh(x)+sech(x))^2,x)","\frac{\cosh \left(x \right) \sinh \left(x \right)}{2}-\frac{3 x}{2}+\tanh \left(x \right)"," ",0,"1/2*cosh(x)*sinh(x)-3/2*x+tanh(x)","A"
682,1,29,26,0.459000," ","int((-cosh(x)+sech(x))^3,x)","-\left(\frac{2}{3}+\frac{\left(\cosh^{2}\left(x \right)\right)}{3}\right) \sinh \left(x \right)+3 \sinh \left(x \right)-5 \arctan \left({\mathrm e}^{x}\right)+\frac{\mathrm{sech}\left(x \right) \tanh \left(x \right)}{2}"," ",0,"-(2/3+1/3*cosh(x)^2)*sinh(x)+3*sinh(x)-5*arctan(exp(x))+1/2*sech(x)*tanh(x)","A"
683,1,43,12,0.625000," ","int((-cosh(x)+sech(x))^(1/2),x)","\frac{\sqrt{2}\, \sqrt{-\frac{\left({\mathrm e}^{2 x}-1\right)^{2} {\mathrm e}^{-x}}{1+{\mathrm e}^{2 x}}}\, \left(1+{\mathrm e}^{2 x}\right)}{{\mathrm e}^{2 x}-1}"," ",0,"2^(1/2)*(-(exp(2*x)-1)^2*exp(-x)/(1+exp(2*x)))^(1/2)/(exp(2*x)-1)*(1+exp(2*x))","B"
684,0,0,25,0.521000," ","int((-cosh(x)+sech(x))^(3/2),x)","\int \left(-\cosh \left(x \right)+\mathrm{sech}\left(x \right)\right)^{\frac{3}{2}}\, dx"," ",0,"int((-cosh(x)+sech(x))^(3/2),x)","F"
685,0,0,41,0.536000," ","int((-cosh(x)+sech(x))^(5/2),x)","\int \left(-\cosh \left(x \right)+\mathrm{sech}\left(x \right)\right)^{\frac{5}{2}}\, dx"," ",0,"int((-cosh(x)+sech(x))^(5/2),x)","F"
686,1,17,14,0.201000," ","int(1/(sinh(x)+tanh(x)),x)","\frac{\left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{4}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right)}{2}"," ",0,"1/4*tanh(1/2*x)^2+1/2*ln(tanh(1/2*x))","A"
687,1,17,16,0.202000," ","int(1/(sinh(x)-tanh(x)),x)","-\frac{1}{4 \tanh \left(\frac{x}{2}\right)^{2}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right)}{2}"," ",0,"-1/4/tanh(1/2*x)^2+1/2*ln(tanh(1/2*x))","A"
688,1,70,39,0.201000," ","int(sinh(x)/(a*cosh(x)+b*sinh(x)),x)","-\frac{4 \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{4 a +4 b}+\frac{a \ln \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)}{\left(a +b \right) \left(a -b \right)}-\frac{4 \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{4 a -4 b}"," ",0,"-4/(4*a+4*b)*ln(tanh(1/2*x)-1)+a/(a+b)/(a-b)*ln(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)-4/(4*a-4*b)*ln(tanh(1/2*x)+1)","A"
689,1,93,70,0.205000," ","int(sinh(x)^2/(a*cosh(x)+b*sinh(x)),x)","-\frac{8}{\left(8 a -8 b \right) \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{2 a^{2} \arctan \left(\frac{2 a \tanh \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}}}\right)}{\left(a +b \right) \left(a -b \right) \sqrt{a^{2}-b^{2}}}-\frac{8}{\left(8 a +8 b \right) \left(\tanh \left(\frac{x}{2}\right)-1\right)}"," ",0,"-8/(8*a-8*b)/(tanh(1/2*x)+1)-2*a^2/(a+b)/(a-b)/(a^2-b^2)^(1/2)*arctan(1/2*(2*a*tanh(1/2*x)+2*b)/(a^2-b^2)^(1/2))-8/(8*a+8*b)/(tanh(1/2*x)-1)","A"
690,1,175,95,0.219000," ","int(sinh(x)^3/(a*cosh(x)+b*sinh(x)),x)","\frac{8}{\left(16 a +16 b \right) \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{16}{\left(32 a +32 b \right) \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right) a}{\left(a +b \right)^{2}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right) b}{2 \left(a +b \right)^{2}}-\frac{a^{3} \ln \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)}{\left(a -b \right)^{2} \left(a +b \right)^{2}}-\frac{16}{\left(32 a -32 b \right) \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{8}{\left(16 a -16 b \right) \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right) a}{\left(a -b \right)^{2}}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right) b}{2 \left(a -b \right)^{2}}"," ",0,"8/(16*a+16*b)/(tanh(1/2*x)-1)^2+16/(32*a+32*b)/(tanh(1/2*x)-1)+1/(a+b)^2*ln(tanh(1/2*x)-1)*a+1/2/(a+b)^2*ln(tanh(1/2*x)-1)*b-a^3/(a-b)^2/(a+b)^2*ln(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)-16/(32*a-32*b)/(tanh(1/2*x)+1)+8/(16*a-16*b)/(tanh(1/2*x)+1)^2+1/(a-b)^2*ln(tanh(1/2*x)+1)*a-1/2/(a-b)^2*ln(tanh(1/2*x)+1)*b","A"
691,1,71,39,0.186000," ","int(cosh(x)/(a*cosh(x)+b*sinh(x)),x)","-\frac{2 \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2 b +2 a}-\frac{b \ln \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)}{\left(a -b \right) \left(a +b \right)}+\frac{2 \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2 a -2 b}"," ",0,"-2/(2*b+2*a)*ln(tanh(1/2*x)-1)-b/(a-b)/(a+b)*ln(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)+2/(2*a-2*b)*ln(tanh(1/2*x)+1)","A"
692,1,93,70,0.229000," ","int(cosh(x)^2/(a*cosh(x)+b*sinh(x)),x)","-\frac{2}{\left(2 a -2 b \right) \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{2 b^{2} \arctan \left(\frac{2 a \tanh \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}}}\right)}{\left(a -b \right) \left(a +b \right) \sqrt{a^{2}-b^{2}}}-\frac{2}{\left(2 b +2 a \right) \left(\tanh \left(\frac{x}{2}\right)-1\right)}"," ",0,"-2/(2*a-2*b)/(tanh(1/2*x)+1)-2*b^2/(a-b)/(a+b)/(a^2-b^2)^(1/2)*arctan(1/2*(2*a*tanh(1/2*x)+2*b)/(a^2-b^2)^(1/2))-2/(2*b+2*a)/(tanh(1/2*x)-1)","A"
693,1,175,95,0.232000," ","int(cosh(x)^3/(a*cosh(x)+b*sinh(x)),x)","\frac{1}{\left(2 b +2 a \right) \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{2}{\left(4 a +4 b \right) \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right) a}{2 \left(a +b \right)^{2}}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right) b}{\left(a +b \right)^{2}}+\frac{b^{3} \ln \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)}{\left(a -b \right)^{2} \left(a +b \right)^{2}}-\frac{1}{\left(2 a -2 b \right) \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{2}{\left(4 a -4 b \right) \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right) a}{2 \left(a -b \right)^{2}}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right) b}{\left(a -b \right)^{2}}"," ",0,"1/(2*b+2*a)/(tanh(1/2*x)-1)^2+2/(4*a+4*b)/(tanh(1/2*x)-1)-1/2/(a+b)^2*ln(tanh(1/2*x)-1)*a-1/(a+b)^2*ln(tanh(1/2*x)-1)*b+b^3/(a-b)^2/(a+b)^2*ln(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)-1/(2*a-2*b)/(tanh(1/2*x)+1)^2+2/(4*a-4*b)/(tanh(1/2*x)+1)+1/2/(a-b)^2*ln(tanh(1/2*x)+1)*a-1/(a-b)^2*ln(tanh(1/2*x)+1)*b","A"
694,1,54,46,0.300000," ","int(tanh(x)/(b*cosh(x)+a*sinh(x)),x)","-\frac{2 b \arctan \left(\frac{2 \tanh \left(\frac{x}{2}\right) b +2 a}{2 \sqrt{-a^{2}+b^{2}}}\right)}{a \sqrt{-a^{2}+b^{2}}}+\frac{2 \arctan \left(\tanh \left(\frac{x}{2}\right)\right)}{a}"," ",0,"-2/a*b/(-a^2+b^2)^(1/2)*arctan(1/2*(2*tanh(1/2*x)*b+2*a)/(-a^2+b^2)^(1/2))+2/a*arctan(tanh(1/2*x))","A"
695,1,53,47,0.303000," ","int(coth(x)/(b*cosh(x)+a*sinh(x)),x)","-\frac{2 a \arctan \left(\frac{2 \tanh \left(\frac{x}{2}\right) b +2 a}{2 \sqrt{-a^{2}+b^{2}}}\right)}{b \sqrt{-a^{2}+b^{2}}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right)}{b}"," ",0,"-2*a/b/(-a^2+b^2)^(1/2)*arctan(1/2*(2*tanh(1/2*x)*b+2*a)/(-a^2+b^2)^(1/2))+1/b*ln(tanh(1/2*x))","A"
696,1,99,62,0.265000," ","int(sinh(x)/(a*cosh(x)+b*sinh(x))^2,x)","\frac{-8 \tanh \left(\frac{x}{2}\right) b -8 a}{\left(4 a^{2}-4 b^{2}\right) \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)}-\frac{8 b \arctan \left(\frac{2 a \tanh \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}}}\right)}{\left(4 a^{2}-4 b^{2}\right) \sqrt{a^{2}-b^{2}}}"," ",0,"4*(-2*tanh(1/2*x)*b-2*a)/(4*a^2-4*b^2)/(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)-8*b/(4*a^2-4*b^2)/(a^2-b^2)^(1/2)*arctan(1/2*(2*a*tanh(1/2*x)+2*b)/(a^2-b^2)^(1/2))","A"
697,1,146,68,0.262000," ","int(sinh(x)^2/(a*cosh(x)+b*sinh(x))^2,x)","-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{\left(a +b \right)^{2}}-\frac{2 a^{3} \tanh \left(\frac{x}{2}\right)}{\left(a -b \right)^{2} \left(a +b \right)^{2} \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)}+\frac{2 a \tanh \left(\frac{x}{2}\right) b^{2}}{\left(a -b \right)^{2} \left(a +b \right)^{2} \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)}-\frac{2 a b \ln \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)}{\left(a -b \right)^{2} \left(a +b \right)^{2}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{\left(a -b \right)^{2}}"," ",0,"-1/(a+b)^2*ln(tanh(1/2*x)-1)-2*a^3/(a-b)^2/(a+b)^2*tanh(1/2*x)/(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)+2*a/(a-b)^2/(a+b)^2*tanh(1/2*x)/(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)*b^2-2*a/(a-b)^2/(a+b)^2*b*ln(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)+1/(a-b)^2*ln(tanh(1/2*x)+1)","B"
698,1,164,181,0.277000," ","int(sinh(x)^3/(a*cosh(x)+b*sinh(x))^2,x)","-\frac{1}{\left(a +b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{2 a^{2} \tanh \left(\frac{x}{2}\right) b}{\left(a -b \right)^{2} \left(a +b \right)^{2} \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)}+\frac{2 a^{3}}{\left(a -b \right)^{2} \left(a +b \right)^{2} \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)}+\frac{6 a^{2} b \arctan \left(\frac{2 a \tanh \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}}}\right)}{\left(a -b \right)^{2} \left(a +b \right)^{2} \sqrt{a^{2}-b^{2}}}+\frac{1}{\left(a -b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)}"," ",0,"-1/(a+b)^2/(tanh(1/2*x)-1)+2*a^2/(a-b)^2/(a+b)^2/(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)*tanh(1/2*x)*b+2*a^3/(a-b)^2/(a+b)^2/(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)+6*a^2/(a-b)^2/(a+b)^2*b/(a^2-b^2)^(1/2)*arctan(1/2*(2*a*tanh(1/2*x)+2*b)/(a^2-b^2)^(1/2))+1/(a-b)^2/(tanh(1/2*x)+1)","A"
699,1,98,60,0.297000," ","int(cosh(x)/(a*cosh(x)+b*sinh(x))^2,x)","\frac{\frac{2 b^{2} \tanh \left(\frac{x}{2}\right)}{a \left(a^{2}-b^{2}\right)}+\frac{2 b}{a^{2}-b^{2}}}{a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}+\frac{2 a \arctan \left(\frac{2 a \tanh \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}}}\right)}{\left(a^{2}-b^{2}\right)^{\frac{3}{2}}}"," ",0,"2*(b^2/a/(a^2-b^2)*tanh(1/2*x)+b/(a^2-b^2))/(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)+2*a/(a^2-b^2)^(3/2)*arctan(1/2*(2*a*tanh(1/2*x)+2*b)/(a^2-b^2)^(1/2))","A"
700,1,149,67,0.262000," ","int(cosh(x)^2/(a*cosh(x)+b*sinh(x))^2,x)","-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{\left(a +b \right)^{2}}-\frac{2 a \tanh \left(\frac{x}{2}\right) b^{2}}{\left(a -b \right)^{2} \left(a +b \right)^{2} \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)}+\frac{2 b^{4} \tanh \left(\frac{x}{2}\right)}{\left(a -b \right)^{2} \left(a +b \right)^{2} a \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)}-\frac{2 a b \ln \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)}{\left(a -b \right)^{2} \left(a +b \right)^{2}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{\left(a -b \right)^{2}}"," ",0,"-1/(a+b)^2*ln(tanh(1/2*x)-1)-2*a/(a-b)^2/(a+b)^2*tanh(1/2*x)/(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)*b^2+2*b^4/(a-b)^2/(a+b)^2/a*tanh(1/2*x)/(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)-2*a/(a-b)^2/(a+b)^2*b*ln(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)+1/(a-b)^2*ln(tanh(1/2*x)+1)","B"
701,1,167,119,0.274000," ","int(cosh(x)^3/(a*cosh(x)+b*sinh(x))^2,x)","-\frac{1}{\left(a +b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{2 b^{4} \tanh \left(\frac{x}{2}\right)}{\left(a -b \right)^{2} \left(a +b \right)^{2} a \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)}-\frac{2 b^{3}}{\left(a -b \right)^{2} \left(a +b \right)^{2} \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)}-\frac{6 b^{2} a \arctan \left(\frac{2 a \tanh \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}}}\right)}{\left(a -b \right)^{2} \left(a +b \right)^{2} \sqrt{a^{2}-b^{2}}}-\frac{1}{\left(a -b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)}"," ",0,"-1/(a+b)^2/(tanh(1/2*x)-1)-2*b^4/(a-b)^2/(a+b)^2/a*tanh(1/2*x)/(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)-2*b^3/(a-b)^2/(a+b)^2/(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)-6*b^2/(a-b)^2/(a+b)^2*a/(a^2-b^2)^(1/2)*arctan(1/2*(2*a*tanh(1/2*x)+2*b)/(a^2-b^2)^(1/2))-1/(a-b)^2/(tanh(1/2*x)+1)","A"
702,1,31,17,0.281000," ","int(sinh(x)/(a*cosh(x)+b*sinh(x))^3,x)","\frac{2 \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{a \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)^{2}}"," ",0,"2/a*tanh(1/2*x)^2/(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)^2","A"
703,1,404,102,0.284000," ","int(sinh(x)^3/(a*cosh(x)+b*sinh(x))^3,x)","-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{\left(a +b \right)^{3}}+\frac{4 a^{4} \left(\tanh^{3}\left(\frac{x}{2}\right)\right) b}{\left(a -b \right)^{3} \left(a +b \right)^{3} \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)^{2}}-\frac{4 a^{2} \left(\tanh^{3}\left(\frac{x}{2}\right)\right) b^{3}}{\left(a -b \right)^{3} \left(a +b \right)^{3} \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)^{2}}-\frac{2 a^{5} \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{\left(a -b \right)^{3} \left(a +b \right)^{3} \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)^{2}}+\frac{12 a^{3} \left(\tanh^{2}\left(\frac{x}{2}\right)\right) b^{2}}{\left(a -b \right)^{3} \left(a +b \right)^{3} \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)^{2}}-\frac{10 a \left(\tanh^{2}\left(\frac{x}{2}\right)\right) b^{4}}{\left(a -b \right)^{3} \left(a +b \right)^{3} \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)^{2}}+\frac{4 a^{4} \tanh \left(\frac{x}{2}\right) b}{\left(a -b \right)^{3} \left(a +b \right)^{3} \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)^{2}}-\frac{4 a^{2} \tanh \left(\frac{x}{2}\right) b^{3}}{\left(a -b \right)^{3} \left(a +b \right)^{3} \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)^{2}}+\frac{a^{3} \ln \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)}{\left(a -b \right)^{3} \left(a +b \right)^{3}}+\frac{3 a \ln \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right) b^{2}}{\left(a -b \right)^{3} \left(a +b \right)^{3}}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{\left(a -b \right)^{3}}"," ",0,"-1/(a+b)^3*ln(tanh(1/2*x)-1)+4*a^4/(a-b)^3/(a+b)^3/(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)^2*tanh(1/2*x)^3*b-4*a^2/(a-b)^3/(a+b)^3/(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)^2*tanh(1/2*x)^3*b^3-2*a^5/(a-b)^3/(a+b)^3/(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)^2*tanh(1/2*x)^2+12*a^3/(a-b)^3/(a+b)^3/(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)^2*tanh(1/2*x)^2*b^2-10*a/(a-b)^3/(a+b)^3/(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)^2*tanh(1/2*x)^2*b^4+4*a^4/(a-b)^3/(a+b)^3/(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)^2*tanh(1/2*x)*b-4*a^2/(a-b)^3/(a+b)^3/(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)^2*tanh(1/2*x)*b^3+a^3/(a-b)^3/(a+b)^3*ln(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)+3*a/(a-b)^3/(a+b)^3*ln(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)*b^2-1/(a-b)^3*ln(tanh(1/2*x)+1)","B"
704,1,55,17,0.252000," ","int(cosh(x)/(a*cosh(x)+b*sinh(x))^3,x)","-\frac{2 \left(-\frac{\tanh^{3}\left(\frac{x}{2}\right)}{a}-\frac{b \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{a^{2}}-\frac{\tanh \left(\frac{x}{2}\right)}{a}\right)}{\left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)^{2}}"," ",0,"-2*(-1/a*tanh(1/2*x)^3-1/a^2*b*tanh(1/2*x)^2-1/a*tanh(1/2*x))/(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)^2","B"
705,1,494,102,0.286000," ","int(cosh(x)^3/(a*cosh(x)+b*sinh(x))^3,x)","-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{\left(a +b \right)^{3}}-\frac{6 b^{2} a^{3} \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{\left(a -b \right)^{3} \left(a +b \right)^{3} \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)^{2}}+\frac{8 b^{4} a \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{\left(a -b \right)^{3} \left(a +b \right)^{3} \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)^{2}}-\frac{2 b^{6} \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{\left(a -b \right)^{3} \left(a +b \right)^{3} \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)^{2} a}-\frac{10 b^{3} a^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{\left(a -b \right)^{3} \left(a +b \right)^{3} \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)^{2}}+\frac{12 b^{5} \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{\left(a -b \right)^{3} \left(a +b \right)^{3} \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)^{2}}-\frac{2 b^{7} \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{\left(a -b \right)^{3} \left(a +b \right)^{3} \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)^{2} a^{2}}-\frac{6 b^{2} a^{3} \tanh \left(\frac{x}{2}\right)}{\left(a -b \right)^{3} \left(a +b \right)^{3} \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)^{2}}+\frac{8 b^{4} a \tanh \left(\frac{x}{2}\right)}{\left(a -b \right)^{3} \left(a +b \right)^{3} \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)^{2}}-\frac{2 b^{6} \tanh \left(\frac{x}{2}\right)}{\left(a -b \right)^{3} \left(a +b \right)^{3} \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)^{2} a}-\frac{3 b \ln \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right) a^{2}}{\left(a -b \right)^{3} \left(a +b \right)^{3}}-\frac{b^{3} \ln \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)}{\left(a -b \right)^{3} \left(a +b \right)^{3}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{\left(a -b \right)^{3}}"," ",0,"-1/(a+b)^3*ln(tanh(1/2*x)-1)-6*b^2/(a-b)^3/(a+b)^3/(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)^2*a^3*tanh(1/2*x)^3+8*b^4/(a-b)^3/(a+b)^3/(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)^2*a*tanh(1/2*x)^3-2*b^6/(a-b)^3/(a+b)^3/(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)^2/a*tanh(1/2*x)^3-10*b^3/(a-b)^3/(a+b)^3/(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)^2*a^2*tanh(1/2*x)^2+12*b^5/(a-b)^3/(a+b)^3/(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)^2*tanh(1/2*x)^2-2*b^7/(a-b)^3/(a+b)^3/(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)^2/a^2*tanh(1/2*x)^2-6*b^2/(a-b)^3/(a+b)^3/(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)^2*a^3*tanh(1/2*x)+8*b^4/(a-b)^3/(a+b)^3/(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)^2*a*tanh(1/2*x)-2*b^6/(a-b)^3/(a+b)^3/(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)^2/a*tanh(1/2*x)-3*b/(a-b)^3/(a+b)^3*ln(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)*a^2-b^3/(a-b)^3/(a+b)^3*ln(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)+1/(a-b)^3*ln(tanh(1/2*x)+1)","B"
706,1,92,68,0.212000," ","int(cosh(x)*sinh(x)/(a*cosh(x)+b*sinh(x)),x)","\frac{4}{\left(4 a -4 b \right) \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{2 a b \arctan \left(\frac{2 a \tanh \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}}}\right)}{\left(a +b \right) \left(a -b \right) \sqrt{a^{2}-b^{2}}}-\frac{4}{\left(4 a +4 b \right) \left(\tanh \left(\frac{x}{2}\right)-1\right)}"," ",0,"4/(4*a-4*b)/(tanh(1/2*x)+1)+2*a*b/(a+b)/(a-b)/(a^2-b^2)^(1/2)*arctan(1/2*(2*a*tanh(1/2*x)+2*b)/(a^2-b^2)^(1/2))-4/(4*a+4*b)/(tanh(1/2*x)-1)","A"
707,1,145,96,0.210000," ","int(cosh(x)*sinh(x)^2/(a*cosh(x)+b*sinh(x)),x)","\frac{4}{\left(8 a +8 b \right) \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{8}{\left(16 a +16 b \right) \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right) a}{2 \left(a +b \right)^{2}}+\frac{a^{2} b \ln \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)}{\left(a -b \right)^{2} \left(a +b \right)^{2}}-\frac{4}{\left(8 a -8 b \right) \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{8}{\left(16 a -16 b \right) \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right) a}{2 \left(a -b \right)^{2}}"," ",0,"4/(8*a+8*b)/(tanh(1/2*x)-1)^2+8/(16*a+16*b)/(tanh(1/2*x)-1)+1/2/(a+b)^2*ln(tanh(1/2*x)-1)*a+a^2*b/(a-b)^2/(a+b)^2*ln(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)-4/(8*a-8*b)/(tanh(1/2*x)+1)^2+8/(16*a-16*b)/(tanh(1/2*x)+1)-1/2/(a-b)^2*ln(tanh(1/2*x)+1)*a","A"
708,1,166,129,0.224000," ","int(cosh(x)*sinh(x)^3/(a*cosh(x)+b*sinh(x)),x)","-\frac{16}{3 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3} \left(16 a +16 b \right)}-\frac{8}{\left(16 a +16 b \right) \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{a}{2 \left(a +b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{2 a^{3} b \arctan \left(\frac{2 a \tanh \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}}}\right)}{\left(a -b \right)^{2} \left(a +b \right)^{2} \sqrt{a^{2}-b^{2}}}-\frac{8}{\left(16 a -16 b \right) \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{16}{3 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3} \left(16 a -16 b \right)}-\frac{a}{2 \left(a -b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)}"," ",0,"-16/3/(tanh(1/2*x)-1)^3/(16*a+16*b)-8/(16*a+16*b)/(tanh(1/2*x)-1)^2+1/2*a/(a+b)^2/(tanh(1/2*x)-1)-2*a^3*b/(a-b)^2/(a+b)^2/(a^2-b^2)^(1/2)*arctan(1/2*(2*a*tanh(1/2*x)+2*b)/(a^2-b^2)^(1/2))-8/(16*a-16*b)/(tanh(1/2*x)+1)^2+16/3/(tanh(1/2*x)+1)^3/(16*a-16*b)-1/2*a/(a-b)^2/(tanh(1/2*x)+1)","A"
709,1,146,96,0.209000," ","int(cosh(x)^2*sinh(x)/(a*cosh(x)+b*sinh(x)),x)","\frac{2}{\left(4 a +4 b \right) \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{4}{\left(8 a +8 b \right) \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right) b}{2 \left(a +b \right)^{2}}-\frac{a \,b^{2} \ln \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)}{\left(a -b \right)^{2} \left(a +b \right)^{2}}-\frac{4}{\left(8 a -8 b \right) \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{2}{\left(4 a -4 b \right) \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right) b}{2 \left(a -b \right)^{2}}"," ",0,"2/(4*a+4*b)/(tanh(1/2*x)-1)^2+4/(8*a+8*b)/(tanh(1/2*x)-1)-1/2/(a+b)^2*ln(tanh(1/2*x)-1)*b-a*b^2/(a-b)^2/(a+b)^2*ln(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)-4/(8*a-8*b)/(tanh(1/2*x)+1)+2/(4*a-4*b)/(tanh(1/2*x)+1)^2+1/2/(a-b)^2*ln(tanh(1/2*x)+1)*b","A"
710,1,168,114,0.249000," ","int(cosh(x)^2*sinh(x)^2/(a*cosh(x)+b*sinh(x)),x)","-\frac{8}{3 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3} \left(8 a +8 b \right)}-\frac{4}{\left(8 a +8 b \right) \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{b}{2 \left(a +b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{2 a^{2} b^{2} \arctan \left(\frac{2 a \tanh \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}}}\right)}{\left(a -b \right)^{2} \left(a +b \right)^{2} \sqrt{a^{2}-b^{2}}}-\frac{8}{3 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3} \left(8 a -8 b \right)}+\frac{4}{\left(8 a -8 b \right) \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{b}{2 \left(a -b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)}"," ",0,"-8/3/(tanh(1/2*x)-1)^3/(8*a+8*b)-4/(8*a+8*b)/(tanh(1/2*x)-1)^2-1/2*b/(a+b)^2/(tanh(1/2*x)-1)+2*a^2*b^2/(a-b)^2/(a+b)^2/(a^2-b^2)^(1/2)*arctan(1/2*(2*a*tanh(1/2*x)+2*b)/(a^2-b^2)^(1/2))-8/3/(tanh(1/2*x)+1)^3/(8*a-8*b)+4/(8*a-8*b)/(tanh(1/2*x)+1)^2+1/2*b/(a-b)^2/(tanh(1/2*x)+1)","A"
711,1,321,180,0.231000," ","int(cosh(x)^2*sinh(x)^3/(a*cosh(x)+b*sinh(x)),x)","\frac{4}{\left(16 a +16 b \right) \left(\tanh \left(\frac{x}{2}\right)-1\right)^{4}}+\frac{16}{\left(32 a +32 b \right) \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}+\frac{a}{8 \left(a +b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{3 b}{8 \left(a +b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{a}{8 \left(a +b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{b}{8 \left(a +b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{3 b \ln \left(\tanh \left(\frac{x}{2}\right)-1\right) a}{8 \left(a +b \right)^{3}}+\frac{b^{2} \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{8 \left(a +b \right)^{3}}+\frac{a^{3} b^{2} \ln \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)}{\left(a -b \right)^{3} \left(a +b \right)^{3}}+\frac{4}{\left(16 a -16 b \right) \left(\tanh \left(\frac{x}{2}\right)+1\right)^{4}}-\frac{16}{\left(32 a -32 b \right) \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}+\frac{a}{8 \left(a -b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{b}{8 \left(a -b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{a}{8 \left(a -b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{3 b}{8 \left(a -b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{3 b \ln \left(\tanh \left(\frac{x}{2}\right)+1\right) a}{8 \left(a -b \right)^{3}}+\frac{b^{2} \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{8 \left(a -b \right)^{3}}"," ",0,"4/(16*a+16*b)/(tanh(1/2*x)-1)^4+16/(32*a+32*b)/(tanh(1/2*x)-1)^3+1/8/(a+b)^2/(tanh(1/2*x)-1)^2*a+3/8/(a+b)^2/(tanh(1/2*x)-1)^2*b-1/8*a/(a+b)^2/(tanh(1/2*x)-1)+1/8*b/(a+b)^2/(tanh(1/2*x)-1)+3/8*b/(a+b)^3*ln(tanh(1/2*x)-1)*a+1/8*b^2/(a+b)^3*ln(tanh(1/2*x)-1)+a^3*b^2/(a-b)^3/(a+b)^3*ln(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)+4/(16*a-16*b)/(tanh(1/2*x)+1)^4-16/(32*a-32*b)/(tanh(1/2*x)+1)^3+1/8*a/(a-b)^2/(tanh(1/2*x)+1)+1/8*b/(a-b)^2/(tanh(1/2*x)+1)+1/8/(a-b)^2/(tanh(1/2*x)+1)^2*a-3/8/(a-b)^2/(tanh(1/2*x)+1)^2*b-3/8*b/(a-b)^3*ln(tanh(1/2*x)+1)*a+1/8*b^2/(a-b)^3*ln(tanh(1/2*x)+1)","A"
712,1,200,129,0.213000," ","int(cosh(x)^3*sinh(x)/(a*cosh(x)+b*sinh(x)),x)","-\frac{4}{3 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3} \left(4 a +4 b \right)}-\frac{2}{\left(4 a +4 b \right) \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{a}{2 \left(a +b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{b}{\left(a +b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{2 a \,b^{3} \arctan \left(\frac{2 a \tanh \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}}}\right)}{\left(a -b \right)^{2} \left(a +b \right)^{2} \sqrt{a^{2}-b^{2}}}-\frac{2}{\left(4 a -4 b \right) \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{4}{3 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3} \left(4 a -4 b \right)}+\frac{a}{2 \left(a -b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{b}{\left(a -b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)}"," ",0,"-4/3/(tanh(1/2*x)-1)^3/(4*a+4*b)-2/(4*a+4*b)/(tanh(1/2*x)-1)^2-1/2*a/(a+b)^2/(tanh(1/2*x)-1)-b/(a+b)^2/(tanh(1/2*x)-1)-2*a*b^3/(a-b)^2/(a+b)^2/(a^2-b^2)^(1/2)*arctan(1/2*(2*a*tanh(1/2*x)+2*b)/(a^2-b^2)^(1/2))-2/(4*a-4*b)/(tanh(1/2*x)+1)^2+4/3/(tanh(1/2*x)+1)^3/(4*a-4*b)+1/2*a/(a-b)^2/(tanh(1/2*x)+1)-b/(a-b)^2/(tanh(1/2*x)+1)","A"
713,1,322,180,0.218000," ","int(cosh(x)^3*sinh(x)^2/(a*cosh(x)+b*sinh(x)),x)","\frac{2}{\left(8 a +8 b \right) \left(\tanh \left(\frac{x}{2}\right)-1\right)^{4}}+\frac{8}{\left(\tanh \left(\frac{x}{2}\right)-1\right)^{3} \left(16 a +16 b \right)}+\frac{3 a}{8 \left(a +b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{5 b}{8 \left(a +b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{a}{8 \left(a +b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{3 b}{8 \left(a +b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{a^{2} \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{8 \left(a +b \right)^{3}}+\frac{3 b \ln \left(\tanh \left(\frac{x}{2}\right)-1\right) a}{8 \left(a +b \right)^{3}}-\frac{a^{2} b^{3} \ln \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)}{\left(a -b \right)^{3} \left(a +b \right)^{3}}-\frac{2}{\left(8 a -8 b \right) \left(\tanh \left(\frac{x}{2}\right)+1\right)^{4}}+\frac{8}{\left(\tanh \left(\frac{x}{2}\right)+1\right)^{3} \left(16 a -16 b \right)}+\frac{a}{8 \left(a -b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{3 b}{8 \left(a -b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{3 a}{8 \left(a -b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{5 b}{8 \left(a -b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{a^{2} \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{8 \left(a -b \right)^{3}}+\frac{3 b \ln \left(\tanh \left(\frac{x}{2}\right)+1\right) a}{8 \left(a -b \right)^{3}}"," ",0,"2/(8*a+8*b)/(tanh(1/2*x)-1)^4+8/(tanh(1/2*x)-1)^3/(16*a+16*b)+3/8/(a+b)^2/(tanh(1/2*x)-1)^2*a+5/8/(a+b)^2/(tanh(1/2*x)-1)^2*b+1/8*a/(a+b)^2/(tanh(1/2*x)-1)+3/8*b/(a+b)^2/(tanh(1/2*x)-1)+1/8*a^2/(a+b)^3*ln(tanh(1/2*x)-1)+3/8*b/(a+b)^3*ln(tanh(1/2*x)-1)*a-a^2*b^3/(a-b)^3/(a+b)^3*ln(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)-2/(8*a-8*b)/(tanh(1/2*x)+1)^4+8/(tanh(1/2*x)+1)^3/(16*a-16*b)+1/8*a/(a-b)^2/(tanh(1/2*x)+1)-3/8*b/(a-b)^2/(tanh(1/2*x)+1)-3/8/(a-b)^2/(tanh(1/2*x)+1)^2*a+5/8/(a-b)^2/(tanh(1/2*x)+1)^2*b-1/8*a^2/(a-b)^3*ln(tanh(1/2*x)+1)+3/8*b/(a-b)^3*ln(tanh(1/2*x)+1)*a","A"
714,1,344,196,0.224000," ","int(cosh(x)^3*sinh(x)^3/(a*cosh(x)+b*sinh(x)),x)","-\frac{16}{5 \left(16 a +16 b \right) \left(\tanh \left(\frac{x}{2}\right)-1\right)^{5}}-\frac{4}{\left(8 a +8 b \right) \left(\tanh \left(\frac{x}{2}\right)-1\right)^{4}}-\frac{a}{8 \left(a +b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{3 b}{8 \left(a +b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{5 a}{12 \left(a +b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}-\frac{7 b}{12 \left(a +b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}+\frac{a^{2}}{8 \left(a +b \right)^{3} \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{3 a b}{8 \left(a +b \right)^{3} \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{2 a^{3} b^{3} \arctan \left(\frac{2 a \tanh \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}}}\right)}{\left(a -b \right)^{3} \left(a +b \right)^{3} \sqrt{a^{2}-b^{2}}}-\frac{4}{\left(8 a -8 b \right) \left(\tanh \left(\frac{x}{2}\right)+1\right)^{4}}+\frac{16}{5 \left(16 a -16 b \right) \left(\tanh \left(\frac{x}{2}\right)+1\right)^{5}}+\frac{5 a}{12 \left(a -b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}-\frac{7 b}{12 \left(a -b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}-\frac{a}{8 \left(a -b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{3 b}{8 \left(a -b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{a^{2}}{8 \left(a -b \right)^{3} \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{3 a b}{8 \left(a -b \right)^{3} \left(\tanh \left(\frac{x}{2}\right)+1\right)}"," ",0,"-16/5/(16*a+16*b)/(tanh(1/2*x)-1)^5-4/(8*a+8*b)/(tanh(1/2*x)-1)^4-1/8/(a+b)^2/(tanh(1/2*x)-1)^2*a-3/8/(a+b)^2/(tanh(1/2*x)-1)^2*b-5/12/(a+b)^2/(tanh(1/2*x)-1)^3*a-7/12/(a+b)^2/(tanh(1/2*x)-1)^3*b+1/8*a^2/(a+b)^3/(tanh(1/2*x)-1)+3/8*a/(a+b)^3/(tanh(1/2*x)-1)*b+2*a^3*b^3/(a-b)^3/(a+b)^3/(a^2-b^2)^(1/2)*arctan(1/2*(2*a*tanh(1/2*x)+2*b)/(a^2-b^2)^(1/2))-4/(8*a-8*b)/(tanh(1/2*x)+1)^4+16/5/(16*a-16*b)/(tanh(1/2*x)+1)^5+5/12/(a-b)^2/(tanh(1/2*x)+1)^3*a-7/12/(a-b)^2/(tanh(1/2*x)+1)^3*b-1/8/(a-b)^2/(tanh(1/2*x)+1)^2*a+3/8/(a-b)^2/(tanh(1/2*x)+1)^2*b-1/8*a^2/(a-b)^3/(tanh(1/2*x)+1)+3/8*a/(a-b)^3/(tanh(1/2*x)+1)*b","A"
715,1,181,93,0.249000," ","int(cosh(x)*sinh(x)/(a*cosh(x)+b*sinh(x))^2,x)","-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{\left(a +b \right)^{2}}+\frac{2 a^{2} \tanh \left(\frac{x}{2}\right) b}{\left(a -b \right)^{2} \left(a +b \right)^{2} \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)}-\frac{2 b^{3} \tanh \left(\frac{x}{2}\right)}{\left(a -b \right)^{2} \left(a +b \right)^{2} \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)}+\frac{\ln \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right) a^{2}}{\left(a -b \right)^{2} \left(a +b \right)^{2}}+\frac{\ln \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right) b^{2}}{\left(a -b \right)^{2} \left(a +b \right)^{2}}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{\left(a -b \right)^{2}}"," ",0,"-1/(a+b)^2*ln(tanh(1/2*x)-1)+2*a^2/(a-b)^2/(a+b)^2/(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)*tanh(1/2*x)*b-2/(a-b)^2/(a+b)^2*b^3*tanh(1/2*x)/(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)+1/(a-b)^2/(a+b)^2*ln(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)*a^2+1/(a-b)^2/(a+b)^2*ln(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)*b^2-1/(a-b)^2*ln(tanh(1/2*x)+1)","A"
716,1,219,157,0.271000," ","int(cosh(x)*sinh(x)^2/(a*cosh(x)+b*sinh(x))^2,x)","-\frac{1}{\left(a +b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{2 a \tanh \left(\frac{x}{2}\right) b^{2}}{\left(a -b \right)^{2} \left(a +b \right)^{2} \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)}-\frac{2 a^{2} b}{\left(a -b \right)^{2} \left(a +b \right)^{2} \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)}-\frac{2 a^{3} \arctan \left(\frac{2 a \tanh \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}}}\right)}{\left(a -b \right)^{2} \left(a +b \right)^{2} \sqrt{a^{2}-b^{2}}}-\frac{4 b^{2} a \arctan \left(\frac{2 a \tanh \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}}}\right)}{\left(a -b \right)^{2} \left(a +b \right)^{2} \sqrt{a^{2}-b^{2}}}-\frac{1}{\left(a -b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)}"," ",0,"-1/(a+b)^2/(tanh(1/2*x)-1)-2*a/(a-b)^2/(a+b)^2*tanh(1/2*x)/(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)*b^2-2*a^2/(a-b)^2/(a+b)^2/(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)*b-2*a^3/(a-b)^2/(a+b)^2/(a^2-b^2)^(1/2)*arctan(1/2*(2*a*tanh(1/2*x)+2*b)/(a^2-b^2)^(1/2))-4*b^2/(a-b)^2/(a+b)^2*a/(a^2-b^2)^(1/2)*arctan(1/2*(2*a*tanh(1/2*x)+2*b)/(a^2-b^2)^(1/2))-1/(a-b)^2/(tanh(1/2*x)+1)","A"
717,1,253,211,0.273000," ","int(cosh(x)*sinh(x)^3/(a*cosh(x)+b*sinh(x))^2,x)","\frac{1}{2 \left(a +b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{1}{2 \left(a +b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{a \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{\left(a +b \right)^{3}}-\frac{2 a^{4} b \tanh \left(\frac{x}{2}\right)}{\left(a -b \right)^{3} \left(a +b \right)^{3} \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)}+\frac{2 a^{2} b^{3} \tanh \left(\frac{x}{2}\right)}{\left(a -b \right)^{3} \left(a +b \right)^{3} \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)}-\frac{a^{4} \ln \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)}{\left(a -b \right)^{3} \left(a +b \right)^{3}}-\frac{3 a^{2} \ln \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right) b^{2}}{\left(a -b \right)^{3} \left(a +b \right)^{3}}+\frac{1}{2 \left(a -b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{1}{2 \left(a -b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{a \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{\left(a -b \right)^{3}}"," ",0,"1/2/(a+b)^2/(tanh(1/2*x)-1)^2+1/2/(a+b)^2/(tanh(1/2*x)-1)+a/(a+b)^3*ln(tanh(1/2*x)-1)-2*a^4/(a-b)^3/(a+b)^3*b*tanh(1/2*x)/(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)+2*a^2/(a-b)^3/(a+b)^3*b^3*tanh(1/2*x)/(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)-a^4/(a-b)^3/(a+b)^3*ln(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)-3*a^2/(a-b)^3/(a+b)^3*ln(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)*b^2+1/2/(a-b)^2/(tanh(1/2*x)+1)^2-1/2/(a-b)^2/(tanh(1/2*x)+1)+a/(a-b)^3*ln(tanh(1/2*x)+1)","A"
718,1,217,155,0.260000," ","int(cosh(x)^2*sinh(x)/(a*cosh(x)+b*sinh(x))^2,x)","-\frac{1}{\left(a +b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{2 b^{3} \tanh \left(\frac{x}{2}\right)}{\left(a -b \right)^{2} \left(a +b \right)^{2} \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)}+\frac{2 b^{2} a}{\left(a -b \right)^{2} \left(a +b \right)^{2} \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)}+\frac{4 a^{2} b \arctan \left(\frac{2 a \tanh \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}}}\right)}{\left(a -b \right)^{2} \left(a +b \right)^{2} \sqrt{a^{2}-b^{2}}}+\frac{2 b^{3} \arctan \left(\frac{2 a \tanh \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}}}\right)}{\left(a -b \right)^{2} \left(a +b \right)^{2} \sqrt{a^{2}-b^{2}}}+\frac{1}{\left(a -b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)}"," ",0,"-1/(a+b)^2/(tanh(1/2*x)-1)+2/(a-b)^2/(a+b)^2*b^3*tanh(1/2*x)/(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)+2*b^2/(a-b)^2/(a+b)^2/(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)*a+4*a^2/(a-b)^2/(a+b)^2*b/(a^2-b^2)^(1/2)*arctan(1/2*(2*a*tanh(1/2*x)+2*b)/(a^2-b^2)^(1/2))+2*b^3/(a-b)^2/(a+b)^2/(a^2-b^2)^(1/2)*arctan(1/2*(2*a*tanh(1/2*x)+2*b)/(a^2-b^2)^(1/2))+1/(a-b)^2/(tanh(1/2*x)+1)","A"
719,1,286,197,0.264000," ","int(cosh(x)^2*sinh(x)^2/(a*cosh(x)+b*sinh(x))^2,x)","\frac{1}{2 \left(a +b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{1}{2 \left(a +b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{a \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2 \left(a +b \right)^{3}}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right) b}{2 \left(a +b \right)^{3}}+\frac{2 a^{3} b^{2} \tanh \left(\frac{x}{2}\right)}{\left(a -b \right)^{3} \left(a +b \right)^{3} \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)}-\frac{2 a \,b^{4} \tanh \left(\frac{x}{2}\right)}{\left(a -b \right)^{3} \left(a +b \right)^{3} \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)}+\frac{2 a^{3} b \ln \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)}{\left(a -b \right)^{3} \left(a +b \right)^{3}}+\frac{2 a \,b^{3} \ln \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)}{\left(a -b \right)^{3} \left(a +b \right)^{3}}-\frac{1}{2 \left(a -b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{1}{2 \left(a -b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{a \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2 \left(a -b \right)^{3}}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right) b}{2 \left(a -b \right)^{3}}"," ",0,"1/2/(a+b)^2/(tanh(1/2*x)-1)^2+1/2/(a+b)^2/(tanh(1/2*x)-1)+1/2*a/(a+b)^3*ln(tanh(1/2*x)-1)-1/2/(a+b)^3*ln(tanh(1/2*x)-1)*b+2*a^3*b^2/(a-b)^3/(a+b)^3*tanh(1/2*x)/(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)-2*a*b^4/(a-b)^3/(a+b)^3*tanh(1/2*x)/(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)+2*a^3*b/(a-b)^3/(a+b)^3*ln(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)+2*a*b^3/(a-b)^3/(a+b)^3*ln(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)-1/2/(a-b)^2/(tanh(1/2*x)+1)^2+1/2/(a-b)^2/(tanh(1/2*x)+1)-1/2*a/(a-b)^3*ln(tanh(1/2*x)+1)-1/2/(a-b)^3*ln(tanh(1/2*x)+1)*b","A"
720,1,326,247,0.269000," ","int(cosh(x)^2*sinh(x)^3/(a*cosh(x)+b*sinh(x))^2,x)","-\frac{1}{3 \left(a +b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}-\frac{1}{2 \left(a +b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{a}{2 \left(a +b \right)^{3} \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{b}{2 \left(a +b \right)^{3} \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{2 a^{2} b^{3} \tanh \left(\frac{x}{2}\right)}{\left(a -b \right)^{3} \left(a +b \right)^{3} \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)}-\frac{2 a^{3} b^{2}}{\left(a -b \right)^{3} \left(a +b \right)^{3} \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)}-\frac{4 a^{4} b \arctan \left(\frac{2 a \tanh \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}}}\right)}{\left(a -b \right)^{3} \left(a +b \right)^{3} \sqrt{a^{2}-b^{2}}}-\frac{6 a^{2} b^{3} \arctan \left(\frac{2 a \tanh \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}}}\right)}{\left(a -b \right)^{3} \left(a +b \right)^{3} \sqrt{a^{2}-b^{2}}}+\frac{1}{3 \left(a -b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}-\frac{1}{2 \left(a -b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{a}{2 \left(a -b \right)^{3} \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{b}{2 \left(a -b \right)^{3} \left(\tanh \left(\frac{x}{2}\right)+1\right)}"," ",0,"-1/3/(a+b)^2/(tanh(1/2*x)-1)^3-1/2/(a+b)^2/(tanh(1/2*x)-1)^2+1/2/(a+b)^3/(tanh(1/2*x)-1)*a-1/2/(a+b)^3/(tanh(1/2*x)-1)*b-2*a^2/(a-b)^3/(a+b)^3*b^3*tanh(1/2*x)/(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)-2*a^3*b^2/(a-b)^3/(a+b)^3/(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)-4*a^4*b/(a-b)^3/(a+b)^3/(a^2-b^2)^(1/2)*arctan(1/2*(2*a*tanh(1/2*x)+2*b)/(a^2-b^2)^(1/2))-6*a^2*b^3/(a-b)^3/(a+b)^3/(a^2-b^2)^(1/2)*arctan(1/2*(2*a*tanh(1/2*x)+2*b)/(a^2-b^2)^(1/2))+1/3/(a-b)^2/(tanh(1/2*x)+1)^3-1/2/(a-b)^2/(tanh(1/2*x)+1)^2-1/2/(a-b)^3/(tanh(1/2*x)+1)*a-1/2/(a-b)^3/(tanh(1/2*x)+1)*b","A"
721,1,253,211,0.260000," ","int(cosh(x)^3*sinh(x)/(a*cosh(x)+b*sinh(x))^2,x)","\frac{1}{2 \left(a +b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{1}{2 \left(a +b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right) b}{\left(a +b \right)^{3}}-\frac{2 a^{2} b^{3} \tanh \left(\frac{x}{2}\right)}{\left(a -b \right)^{3} \left(a +b \right)^{3} \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)}+\frac{2 b^{5} \tanh \left(\frac{x}{2}\right)}{\left(a -b \right)^{3} \left(a +b \right)^{3} \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)}-\frac{3 a^{2} \ln \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right) b^{2}}{\left(a -b \right)^{3} \left(a +b \right)^{3}}-\frac{b^{4} \ln \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)}{\left(a -b \right)^{3} \left(a +b \right)^{3}}+\frac{1}{2 \left(a -b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{1}{2 \left(a -b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right) b}{\left(a -b \right)^{3}}"," ",0,"1/2/(a+b)^2/(tanh(1/2*x)-1)^2+1/2/(a+b)^2/(tanh(1/2*x)-1)-1/(a+b)^3*ln(tanh(1/2*x)-1)*b-2*a^2/(a-b)^3/(a+b)^3*b^3*tanh(1/2*x)/(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)+2*b^5/(a-b)^3/(a+b)^3*tanh(1/2*x)/(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)-3*a^2/(a-b)^3/(a+b)^3*ln(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)*b^2-b^4/(a-b)^3/(a+b)^3*ln(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)+1/2/(a-b)^2/(tanh(1/2*x)+1)^2-1/2/(a-b)^2/(tanh(1/2*x)+1)+1/(a-b)^3*ln(tanh(1/2*x)+1)*b","A"
722,1,289,245,0.267000," ","int(cosh(x)^3*sinh(x)^2/(a*cosh(x)+b*sinh(x))^2,x)","-\frac{1}{3 \left(a +b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}-\frac{1}{2 \left(a +b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{b}{\left(a +b \right)^{3} \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{2 a \,b^{4} \tanh \left(\frac{x}{2}\right)}{\left(a -b \right)^{3} \left(a +b \right)^{3} \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)}+\frac{2 a^{2} b^{3}}{\left(a -b \right)^{3} \left(a +b \right)^{3} \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)}+\frac{6 a^{3} b^{2} \arctan \left(\frac{2 a \tanh \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}}}\right)}{\left(a -b \right)^{3} \left(a +b \right)^{3} \sqrt{a^{2}-b^{2}}}+\frac{4 a \,b^{4} \arctan \left(\frac{2 a \tanh \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}}}\right)}{\left(a -b \right)^{3} \left(a +b \right)^{3} \sqrt{a^{2}-b^{2}}}-\frac{1}{3 \left(a -b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}+\frac{1}{2 \left(a -b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{b}{\left(a -b \right)^{3} \left(\tanh \left(\frac{x}{2}\right)+1\right)}"," ",0,"-1/3/(a+b)^2/(tanh(1/2*x)-1)^3-1/2/(a+b)^2/(tanh(1/2*x)-1)^2-1/(a+b)^3/(tanh(1/2*x)-1)*b+2*a*b^4/(a-b)^3/(a+b)^3*tanh(1/2*x)/(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)+2*a^2*b^3/(a-b)^3/(a+b)^3/(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)+6*a^3*b^2/(a-b)^3/(a+b)^3/(a^2-b^2)^(1/2)*arctan(1/2*(2*a*tanh(1/2*x)+2*b)/(a^2-b^2)^(1/2))+4*a*b^4/(a-b)^3/(a+b)^3/(a^2-b^2)^(1/2)*arctan(1/2*(2*a*tanh(1/2*x)+2*b)/(a^2-b^2)^(1/2))-1/3/(a-b)^2/(tanh(1/2*x)+1)^3+1/2/(a-b)^2/(tanh(1/2*x)+1)^2+1/(a-b)^3/(tanh(1/2*x)+1)*b","A"
723,1,398,304,0.285000," ","int(cosh(x)^3*sinh(x)^3/(a*cosh(x)+b*sinh(x))^2,x)","\frac{1}{4 \left(a +b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{4}}+\frac{1}{2 \left(a +b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}+\frac{a}{8 \left(a +b \right)^{3} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{5 b}{8 \left(a +b \right)^{3} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{a}{8 \left(a +b \right)^{3} \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{3 b}{8 \left(a +b \right)^{3} \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{3 a b \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{4 \left(a +b \right)^{4}}+\frac{2 a^{4} b^{3} \tanh \left(\frac{x}{2}\right)}{\left(a -b \right)^{4} \left(a +b \right)^{4} \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)}-\frac{2 a^{2} b^{5} \tanh \left(\frac{x}{2}\right)}{\left(a -b \right)^{4} \left(a +b \right)^{4} \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)}+\frac{3 a^{4} b^{2} \ln \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)}{\left(a -b \right)^{4} \left(a +b \right)^{4}}+\frac{3 a^{2} b^{4} \ln \left(a +2 \tanh \left(\frac{x}{2}\right) b +a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)\right)}{\left(a -b \right)^{4} \left(a +b \right)^{4}}+\frac{1}{4 \left(a -b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{4}}-\frac{1}{2 \left(a -b \right)^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}+\frac{a}{8 \left(a -b \right)^{3} \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{3 b}{8 \left(a -b \right)^{3} \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{a}{8 \left(a -b \right)^{3} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{5 b}{8 \left(a -b \right)^{3} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{3 a b \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{4 \left(a -b \right)^{4}}"," ",0,"1/4/(a+b)^2/(tanh(1/2*x)-1)^4+1/2/(a+b)^2/(tanh(1/2*x)-1)^3+1/8/(a+b)^3/(tanh(1/2*x)-1)^2*a+5/8/(a+b)^3/(tanh(1/2*x)-1)^2*b-1/8/(a+b)^3/(tanh(1/2*x)-1)*a+3/8/(a+b)^3/(tanh(1/2*x)-1)*b+3/4*a*b/(a+b)^4*ln(tanh(1/2*x)-1)+2*a^4*b^3/(a-b)^4/(a+b)^4*tanh(1/2*x)/(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)-2*a^2*b^5/(a-b)^4/(a+b)^4*tanh(1/2*x)/(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)+3*a^4*b^2/(a-b)^4/(a+b)^4*ln(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)+3*a^2*b^4/(a-b)^4/(a+b)^4*ln(a+2*tanh(1/2*x)*b+a*tanh(1/2*x)^2)+1/4/(a-b)^2/(tanh(1/2*x)+1)^4-1/2/(a-b)^2/(tanh(1/2*x)+1)^3+1/8/(a-b)^3/(tanh(1/2*x)+1)*a+3/8/(a-b)^3/(tanh(1/2*x)+1)*b+1/8/(a-b)^3/(tanh(1/2*x)+1)^2*a-5/8/(a-b)^3/(tanh(1/2*x)+1)^2*b-3/4*a*b/(a-b)^4*ln(tanh(1/2*x)+1)","A"
724,1,181,76,0.214000," ","int((A+C*sinh(x))/(b*cosh(x)+c*sinh(x)),x)","-\frac{2 C \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2 b +2 c}-\frac{2 C \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2 b -2 c}+\frac{b C \ln \left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +2 c \tanh \left(\frac{x}{2}\right)+b \right)}{\left(b -c \right) \left(b +c \right)}+\frac{2 \arctan \left(\frac{2 \tanh \left(\frac{x}{2}\right) b +2 c}{2 \sqrt{b^{2}-c^{2}}}\right) A \,b^{2}}{\left(b -c \right) \left(b +c \right) \sqrt{b^{2}-c^{2}}}-\frac{2 \arctan \left(\frac{2 \tanh \left(\frac{x}{2}\right) b +2 c}{2 \sqrt{b^{2}-c^{2}}}\right) A \,c^{2}}{\left(b -c \right) \left(b +c \right) \sqrt{b^{2}-c^{2}}}"," ",0,"-2*C/(2*b+2*c)*ln(tanh(1/2*x)-1)-2*C/(2*b-2*c)*ln(tanh(1/2*x)+1)+1/(b-c)/(b+c)*b*C*ln(tanh(1/2*x)^2*b+2*c*tanh(1/2*x)+b)+2/(b-c)/(b+c)/(b^2-c^2)^(1/2)*arctan(1/2*(2*tanh(1/2*x)*b+2*c)/(b^2-c^2)^(1/2))*A*b^2-2/(b-c)/(b+c)/(b^2-c^2)^(1/2)*arctan(1/2*(2*tanh(1/2*x)*b+2*c)/(b^2-c^2)^(1/2))*A*c^2","B"
725,1,115,76,0.259000," ","int((A+C*sinh(x))/(b*cosh(x)+c*sinh(x))^2,x)","-\frac{2 \left(-\frac{\left(A \,b^{2}-A \,c^{2}-C c b \right) \tanh \left(\frac{x}{2}\right)}{\left(b^{2}-c^{2}\right) b}+\frac{b C}{b^{2}-c^{2}}\right)}{\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +2 c \tanh \left(\frac{x}{2}\right)+b}-\frac{2 C c \arctan \left(\frac{2 \tanh \left(\frac{x}{2}\right) b +2 c}{2 \sqrt{b^{2}-c^{2}}}\right)}{\left(b^{2}-c^{2}\right)^{\frac{3}{2}}}"," ",0,"-2*(-(A*b^2-A*c^2-C*b*c)/(b^2-c^2)/b*tanh(1/2*x)+b*C/(b^2-c^2))/(tanh(1/2*x)^2*b+2*c*tanh(1/2*x)+b)-2*C*c/(b^2-c^2)^(3/2)*arctan(1/2*(2*tanh(1/2*x)*b+2*c)/(b^2-c^2)^(1/2))","A"
726,1,187,115,0.275000," ","int((A+C*sinh(x))/(b*cosh(x)+c*sinh(x))^3,x)","\frac{-\frac{A \left(b^{2}-2 c^{2}\right) \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{\left(b^{2}-c^{2}\right) b}+\frac{\left(A \,b^{2} c +2 A \,c^{3}+2 C \,b^{3}-2 C b \,c^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{\left(b^{2}-c^{2}\right) b^{2}}+\frac{A \left(b^{2}+2 c^{2}\right) \tanh \left(\frac{x}{2}\right)}{\left(b^{2}-c^{2}\right) b}+\frac{2 A c}{2 b^{2}-2 c^{2}}}{\left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +2 c \tanh \left(\frac{x}{2}\right)+b \right)^{2}}+\frac{A \arctan \left(\frac{2 \tanh \left(\frac{x}{2}\right) b +2 c}{2 \sqrt{b^{2}-c^{2}}}\right)}{\left(b^{2}-c^{2}\right)^{\frac{3}{2}}}"," ",0,"2*(-1/2*A*(b^2-2*c^2)/(b^2-c^2)/b*tanh(1/2*x)^3+1/2*(A*b^2*c+2*A*c^3+2*C*b^3-2*C*b*c^2)/(b^2-c^2)/b^2*tanh(1/2*x)^2+1/2*A*(b^2+2*c^2)/(b^2-c^2)/b*tanh(1/2*x)+1/2*A*c/(b^2-c^2))/(tanh(1/2*x)^2*b+2*c*tanh(1/2*x)+b)^2+A/(b^2-c^2)^(3/2)*arctan(1/2*(2*tanh(1/2*x)*b+2*c)/(b^2-c^2)^(1/2))","A"
727,1,182,76,0.213000," ","int((A+B*cosh(x))/(b*cosh(x)+c*sinh(x)),x)","-\frac{2 B \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2 b +2 c}+\frac{2 B \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2 b -2 c}-\frac{B c \ln \left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +2 c \tanh \left(\frac{x}{2}\right)+b \right)}{\left(b -c \right) \left(b +c \right)}+\frac{2 \arctan \left(\frac{2 \tanh \left(\frac{x}{2}\right) b +2 c}{2 \sqrt{b^{2}-c^{2}}}\right) A \,b^{2}}{\left(b -c \right) \left(b +c \right) \sqrt{b^{2}-c^{2}}}-\frac{2 \arctan \left(\frac{2 \tanh \left(\frac{x}{2}\right) b +2 c}{2 \sqrt{b^{2}-c^{2}}}\right) A \,c^{2}}{\left(b -c \right) \left(b +c \right) \sqrt{b^{2}-c^{2}}}"," ",0,"-2*B/(2*b+2*c)*ln(tanh(1/2*x)-1)+2*B/(2*b-2*c)*ln(tanh(1/2*x)+1)-1/(b-c)/(b+c)*B*c*ln(tanh(1/2*x)^2*b+2*c*tanh(1/2*x)+b)+2/(b-c)/(b+c)/(b^2-c^2)^(1/2)*arctan(1/2*(2*tanh(1/2*x)*b+2*c)/(b^2-c^2)^(1/2))*A*b^2-2/(b-c)/(b+c)/(b^2-c^2)^(1/2)*arctan(1/2*(2*tanh(1/2*x)*b+2*c)/(b^2-c^2)^(1/2))*A*c^2","B"
728,1,116,74,0.281000," ","int((A+B*cosh(x))/(b*cosh(x)+c*sinh(x))^2,x)","-\frac{2 \left(-\frac{\left(A \,b^{2}-A \,c^{2}+B \,c^{2}\right) \tanh \left(\frac{x}{2}\right)}{b \left(b^{2}-c^{2}\right)}-\frac{B c}{b^{2}-c^{2}}\right)}{\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +2 c \tanh \left(\frac{x}{2}\right)+b}+\frac{2 b B \arctan \left(\frac{2 \tanh \left(\frac{x}{2}\right) b +2 c}{2 \sqrt{b^{2}-c^{2}}}\right)}{\left(b^{2}-c^{2}\right)^{\frac{3}{2}}}"," ",0,"-2*(-(A*b^2-A*c^2+B*c^2)/b/(b^2-c^2)*tanh(1/2*x)-B*c/(b^2-c^2))/(tanh(1/2*x)^2*b+2*c*tanh(1/2*x)+b)+2*b*B/(b^2-c^2)^(3/2)*arctan(1/2*(2*tanh(1/2*x)*b+2*c)/(b^2-c^2)^(1/2))","A"
729,1,214,112,0.273000," ","int((A+B*cosh(x))/(b*cosh(x)+c*sinh(x))^3,x)","\frac{-\frac{\left(A \,b^{2}-2 A \,c^{2}-2 B \,b^{2}+2 B \,c^{2}\right) \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{\left(b^{2}-c^{2}\right) b}+\frac{c \left(A \,b^{2}+2 A \,c^{2}+2 B \,b^{2}-2 B \,c^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{\left(b^{2}-c^{2}\right) b^{2}}+\frac{\left(A \,b^{2}+2 A \,c^{2}+2 B \,b^{2}-2 B \,c^{2}\right) \tanh \left(\frac{x}{2}\right)}{\left(b^{2}-c^{2}\right) b}+\frac{2 A c}{2 b^{2}-2 c^{2}}}{\left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +2 c \tanh \left(\frac{x}{2}\right)+b \right)^{2}}+\frac{A \arctan \left(\frac{2 \tanh \left(\frac{x}{2}\right) b +2 c}{2 \sqrt{b^{2}-c^{2}}}\right)}{\left(b^{2}-c^{2}\right)^{\frac{3}{2}}}"," ",0,"2*(-1/2*(A*b^2-2*A*c^2-2*B*b^2+2*B*c^2)/(b^2-c^2)/b*tanh(1/2*x)^3+1/2*c*(A*b^2+2*A*c^2+2*B*b^2-2*B*c^2)/(b^2-c^2)/b^2*tanh(1/2*x)^2+1/2*(A*b^2+2*A*c^2+2*B*b^2-2*B*c^2)/(b^2-c^2)/b*tanh(1/2*x)+1/2*A*c/(b^2-c^2))/(tanh(1/2*x)^2*b+2*c*tanh(1/2*x)+b)^2+A/(b^2-c^2)^(3/2)*arctan(1/2*(2*tanh(1/2*x)*b+2*c)/(b^2-c^2)^(1/2))","A"
730,1,17,9,0.017000," ","int((cosh(x)+sinh(x))/(cosh(x)-sinh(x)),x)","\frac{\cosh \left(x \right)+\sinh \left(x \right)}{2 \cosh \left(x \right)-2 \sinh \left(x \right)}"," ",0,"1/2*(cosh(x)+sinh(x))/(cosh(x)-sinh(x))","A"
731,1,17,9,0.019000," ","int((cosh(x)-sinh(x))/(cosh(x)+sinh(x)),x)","-\frac{\cosh \left(x \right)-\sinh \left(x \right)}{2 \left(\cosh \left(x \right)+\sinh \left(x \right)\right)}"," ",0,"-1/2*(cosh(x)-sinh(x))/(cosh(x)+sinh(x))","A"
732,1,13,12,0.166000," ","int((cosh(x)-I*sinh(x))/(cosh(x)+I*sinh(x)),x)","-i \ln \left(\cosh \left(x \right)+i \sinh \left(x \right)\right)"," ",0,"-I*ln(cosh(x)+I*sinh(x))","A"
733,1,145,53,0.215000," ","int((B*cosh(x)+C*sinh(x))/(b*cosh(x)+c*sinh(x)),x)","-\frac{2 B \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2 b +2 c}-\frac{2 C \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2 b +2 c}+\frac{2 B \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2 b -2 c}-\frac{2 C \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2 b -2 c}-\frac{B c \ln \left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +2 c \tanh \left(\frac{x}{2}\right)+b \right)}{\left(b -c \right) \left(b +c \right)}+\frac{b C \ln \left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +2 c \tanh \left(\frac{x}{2}\right)+b \right)}{\left(b -c \right) \left(b +c \right)}"," ",0,"-2*B/(2*b+2*c)*ln(tanh(1/2*x)-1)-2*C/(2*b+2*c)*ln(tanh(1/2*x)-1)+2*B/(2*b-2*c)*ln(tanh(1/2*x)+1)-2*C/(2*b-2*c)*ln(tanh(1/2*x)+1)-1/(b-c)/(b+c)*B*c*ln(tanh(1/2*x)^2*b+2*c*tanh(1/2*x)+b)+1/(b-c)/(b+c)*b*C*ln(tanh(1/2*x)^2*b+2*c*tanh(1/2*x)+b)","B"
734,1,152,74,0.262000," ","int((B*cosh(x)+C*sinh(x))/(b*cosh(x)+c*sinh(x))^2,x)","\frac{\frac{2 c \left(B c -b C \right) \tanh \left(\frac{x}{2}\right)}{\left(b^{2}-c^{2}\right) b}+\frac{2 \left(B c -b C \right)}{b^{2}-c^{2}}}{\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +2 c \tanh \left(\frac{x}{2}\right)+b}+\frac{2 b B \arctan \left(\frac{2 \tanh \left(\frac{x}{2}\right) b +2 c}{2 \sqrt{b^{2}-c^{2}}}\right)}{\left(b^{2}-c^{2}\right)^{\frac{3}{2}}}-\frac{2 C c \arctan \left(\frac{2 \tanh \left(\frac{x}{2}\right) b +2 c}{2 \sqrt{b^{2}-c^{2}}}\right)}{\left(b^{2}-c^{2}\right)^{\frac{3}{2}}}"," ",0,"2*(c*(B*c-C*b)/(b^2-c^2)/b*tanh(1/2*x)+(B*c-C*b)/(b^2-c^2))/(tanh(1/2*x)^2*b+2*c*tanh(1/2*x)+b)+2*b*B/(b^2-c^2)^(3/2)*arctan(1/2*(2*tanh(1/2*x)*b+2*c)/(b^2-c^2)^(1/2))-2*C*c/(b^2-c^2)^(3/2)*arctan(1/2*(2*tanh(1/2*x)*b+2*c)/(b^2-c^2)^(1/2))","B"
735,1,63,69,0.280000," ","int((B*cosh(x)+C*sinh(x))/(b*cosh(x)+c*sinh(x))^3,x)","-\frac{2 \left(-\frac{B \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{b}-\frac{\left(B c +b C \right) \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{b^{2}}-\frac{B \tanh \left(\frac{x}{2}\right)}{b}\right)}{\left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +2 c \tanh \left(\frac{x}{2}\right)+b \right)^{2}}"," ",0,"-2*(-B/b*tanh(1/2*x)^3-(B*c+C*b)/b^2*tanh(1/2*x)^2-B/b*tanh(1/2*x))/(tanh(1/2*x)^2*b+2*c*tanh(1/2*x)+b)^2","A"
736,1,253,88,0.214000," ","int((A+B*cosh(x)+C*sinh(x))/(b*cosh(x)+c*sinh(x)),x)","-\frac{2 B \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2 b +2 c}-\frac{2 C \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2 b +2 c}+\frac{2 B \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2 b -2 c}-\frac{2 C \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2 b -2 c}-\frac{B c \ln \left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +2 c \tanh \left(\frac{x}{2}\right)+b \right)}{\left(b -c \right) \left(b +c \right)}+\frac{b C \ln \left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +2 c \tanh \left(\frac{x}{2}\right)+b \right)}{\left(b -c \right) \left(b +c \right)}+\frac{2 \arctan \left(\frac{2 \tanh \left(\frac{x}{2}\right) b +2 c}{2 \sqrt{b^{2}-c^{2}}}\right) A \,b^{2}}{\left(b -c \right) \left(b +c \right) \sqrt{b^{2}-c^{2}}}-\frac{2 \arctan \left(\frac{2 \tanh \left(\frac{x}{2}\right) b +2 c}{2 \sqrt{b^{2}-c^{2}}}\right) A \,c^{2}}{\left(b -c \right) \left(b +c \right) \sqrt{b^{2}-c^{2}}}"," ",0,"-2*B/(2*b+2*c)*ln(tanh(1/2*x)-1)-2*C/(2*b+2*c)*ln(tanh(1/2*x)-1)+2*B/(2*b-2*c)*ln(tanh(1/2*x)+1)-2*C/(2*b-2*c)*ln(tanh(1/2*x)+1)-1/(b-c)/(b+c)*B*c*ln(tanh(1/2*x)^2*b+2*c*tanh(1/2*x)+b)+1/(b-c)/(b+c)*b*C*ln(tanh(1/2*x)^2*b+2*c*tanh(1/2*x)+b)+2/(b-c)/(b+c)/(b^2-c^2)^(1/2)*arctan(1/2*(2*tanh(1/2*x)*b+2*c)/(b^2-c^2)^(1/2))*A*b^2-2/(b-c)/(b+c)/(b^2-c^2)^(1/2)*arctan(1/2*(2*tanh(1/2*x)*b+2*c)/(b^2-c^2)^(1/2))*A*c^2","B"
737,1,167,84,0.272000," ","int((A+B*cosh(x)+C*sinh(x))/(b*cosh(x)+c*sinh(x))^2,x)","-\frac{2 \left(-\frac{\left(A \,b^{2}-A \,c^{2}+B \,c^{2}-C c b \right) \tanh \left(\frac{x}{2}\right)}{b \left(b^{2}-c^{2}\right)}-\frac{B c -b C}{b^{2}-c^{2}}\right)}{\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +2 c \tanh \left(\frac{x}{2}\right)+b}+\frac{2 b B \arctan \left(\frac{2 \tanh \left(\frac{x}{2}\right) b +2 c}{2 \sqrt{b^{2}-c^{2}}}\right)}{\left(b^{2}-c^{2}\right)^{\frac{3}{2}}}-\frac{2 C c \arctan \left(\frac{2 \tanh \left(\frac{x}{2}\right) b +2 c}{2 \sqrt{b^{2}-c^{2}}}\right)}{\left(b^{2}-c^{2}\right)^{\frac{3}{2}}}"," ",0,"-2*(-(A*b^2-A*c^2+B*c^2-C*b*c)/b/(b^2-c^2)*tanh(1/2*x)-(B*c-C*b)/(b^2-c^2))/(tanh(1/2*x)^2*b+2*c*tanh(1/2*x)+b)+2*b*B/(b^2-c^2)^(3/2)*arctan(1/2*(2*tanh(1/2*x)*b+2*c)/(b^2-c^2)^(1/2))-2*C*c/(b^2-c^2)^(3/2)*arctan(1/2*(2*tanh(1/2*x)*b+2*c)/(b^2-c^2)^(1/2))","A"
738,1,228,127,0.287000," ","int((A+B*cosh(x)+C*sinh(x))/(b*cosh(x)+c*sinh(x))^3,x)","\frac{-\frac{\left(A \,b^{2}-2 A \,c^{2}-2 B \,b^{2}+2 B \,c^{2}\right) \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{\left(b^{2}-c^{2}\right) b}+\frac{\left(A \,b^{2} c +2 A \,c^{3}+2 B c \,b^{2}-2 B \,c^{3}+2 C \,b^{3}-2 C b \,c^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{\left(b^{2}-c^{2}\right) b^{2}}+\frac{\left(A \,b^{2}+2 A \,c^{2}+2 B \,b^{2}-2 B \,c^{2}\right) \tanh \left(\frac{x}{2}\right)}{\left(b^{2}-c^{2}\right) b}+\frac{2 A c}{2 b^{2}-2 c^{2}}}{\left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +2 c \tanh \left(\frac{x}{2}\right)+b \right)^{2}}+\frac{A \arctan \left(\frac{2 \tanh \left(\frac{x}{2}\right) b +2 c}{2 \sqrt{b^{2}-c^{2}}}\right)}{\left(b^{2}-c^{2}\right)^{\frac{3}{2}}}"," ",0,"2*(-1/2*(A*b^2-2*A*c^2-2*B*b^2+2*B*c^2)/(b^2-c^2)/b*tanh(1/2*x)^3+1/2*(A*b^2*c+2*A*c^3+2*B*b^2*c-2*B*c^3+2*C*b^3-2*C*b*c^2)/(b^2-c^2)/b^2*tanh(1/2*x)^2+1/2*(A*b^2+2*A*c^2+2*B*b^2-2*B*c^2)/(b^2-c^2)/b*tanh(1/2*x)+1/2*A*c/(b^2-c^2))/(tanh(1/2*x)^2*b+2*c*tanh(1/2*x)+b)^2+A/(b^2-c^2)^(3/2)*arctan(1/2*(2*tanh(1/2*x)*b+2*c)/(b^2-c^2)^(1/2))","A"
739,1,110,109,0.419000," ","int((a+b*cosh(x)+c*sinh(x))^3,x)","a^{3} x +3 a^{2} b \sinh \left(x \right)+3 a^{2} c \cosh \left(x \right)+3 a \,b^{2} \left(\frac{\cosh \left(x \right) \sinh \left(x \right)}{2}+\frac{x}{2}\right)+3 a b c \left(\cosh^{2}\left(x \right)\right)+3 a \,c^{2} \left(\frac{\cosh \left(x \right) \sinh \left(x \right)}{2}-\frac{x}{2}\right)+b^{3} \left(\frac{2}{3}+\frac{\left(\cosh^{2}\left(x \right)\right)}{3}\right) \sinh \left(x \right)+\left(\cosh^{3}\left(x \right)\right) b^{2} c +b \,c^{2} \left(\sinh^{3}\left(x \right)\right)+c^{3} \left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(x \right)\right)}{3}\right) \cosh \left(x \right)"," ",0,"a^3*x+3*a^2*b*sinh(x)+3*a^2*c*cosh(x)+3*a*b^2*(1/2*cosh(x)*sinh(x)+1/2*x)+3*a*b*c*cosh(x)^2+3*a*c^2*(1/2*cosh(x)*sinh(x)-1/2*x)+b^3*(2/3+1/3*cosh(x)^2)*sinh(x)+cosh(x)^3*b^2*c+b*c^2*sinh(x)^3+c^3*(-2/3+1/3*sinh(x)^2)*cosh(x)","A"
740,1,54,51,0.148000," ","int((a+b*cosh(x)+c*sinh(x))^2,x)","a^{2} x +2 a b \sinh \left(x \right)+2 a c \cosh \left(x \right)+b^{2} \left(\frac{\cosh \left(x \right) \sinh \left(x \right)}{2}+\frac{x}{2}\right)+c b \left(\cosh^{2}\left(x \right)\right)+c^{2} \left(\frac{\cosh \left(x \right) \sinh \left(x \right)}{2}-\frac{x}{2}\right)"," ",0,"a^2*x+2*a*b*sinh(x)+2*a*c*cosh(x)+b^2*(1/2*cosh(x)*sinh(x)+1/2*x)+c*b*cosh(x)^2+c^2*(1/2*cosh(x)*sinh(x)-1/2*x)","A"
741,1,13,12,0.024000," ","int(a+b*cosh(x)+c*sinh(x),x)","a x +c \cosh \left(x \right)+b \sinh \left(x \right)"," ",0,"a*x+c*cosh(x)+b*sinh(x)","A"
742,1,53,45,0.191000," ","int(1/(a+b*cosh(x)+c*sinh(x)),x)","-\frac{2 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right)}{\sqrt{-a^{2}+b^{2}-c^{2}}}"," ",0,"-2/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))","A"
743,1,191,85,0.257000," ","int(1/(a+b*cosh(x)+c*sinh(x))^2,x)","-\frac{2 \left(-\frac{\left(a b -b^{2}+c^{2}\right) \tanh \left(\frac{x}{2}\right)}{a^{3}-a^{2} b -a \,b^{2}+a \,c^{2}+b^{3}-b \,c^{2}}-\frac{a c}{a^{3}-a^{2} b -a \,b^{2}+a \,c^{2}+b^{3}-b \,c^{2}}\right)}{a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -2 c \tanh \left(\frac{x}{2}\right)-a -b}-\frac{2 a \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right)}{\left(a^{2}-b^{2}+c^{2}\right) \sqrt{-a^{2}+b^{2}-c^{2}}}"," ",0,"-2*(-(a*b-b^2+c^2)/(a^3-a^2*b-a*b^2+a*c^2+b^3-b*c^2)*tanh(1/2*x)-a*c/(a^3-a^2*b-a*b^2+a*c^2+b^3-b*c^2))/(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-2*c*tanh(1/2*x)-a-b)-2*a/(a^2-b^2+c^2)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))","B"
744,1,747,138,0.279000," ","int(1/(a+b*cosh(x)+c*sinh(x))^3,x)","-\frac{2 \left(-\frac{\left(4 a^{3} b -7 a^{2} b^{2}+5 a^{2} c^{2}+2 a \,b^{3}-2 a \,c^{2} b +b^{4}-3 c^{2} b^{2}+2 c^{4}\right) \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{2 \left(a -b \right) \left(a^{4}-2 a^{2} b^{2}+2 a^{2} c^{2}+b^{4}-2 c^{2} b^{2}+c^{4}\right)}-\frac{c \left(4 a^{4}-12 a^{3} b +13 a^{2} b^{2}-7 a^{2} c^{2}-6 a \,b^{3}+6 a \,c^{2} b +b^{4}+c^{2} b^{2}-2 c^{4}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{2 \left(a^{4}-2 a^{2} b^{2}+2 a^{2} c^{2}+b^{4}-2 c^{2} b^{2}+c^{4}\right) \left(a^{2}-2 a b +b^{2}\right)}+\frac{\left(4 a^{4} b -5 a^{3} b^{2}+11 a^{3} c^{2}-3 a^{2} b^{3}-3 a^{2} b \,c^{2}+5 a \,b^{4}-7 a \,b^{2} c^{2}+2 a \,c^{4}-b^{5}-b^{3} c^{2}+2 b \,c^{4}\right) \tanh \left(\frac{x}{2}\right)}{2 \left(a^{4}-2 a^{2} b^{2}+2 a^{2} c^{2}+b^{4}-2 c^{2} b^{2}+c^{4}\right) \left(a^{2}-2 a b +b^{2}\right)}+\frac{c \left(4 a^{4}-3 a^{2} b^{2}+a^{2} c^{2}-b^{4}+c^{2} b^{2}\right)}{2 \left(a^{4}-2 a^{2} b^{2}+2 a^{2} c^{2}+b^{4}-2 c^{2} b^{2}+c^{4}\right) \left(a^{2}-2 a b +b^{2}\right)}\right)}{\left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -2 c \tanh \left(\frac{x}{2}\right)-a -b \right)^{2}}-\frac{2 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) a^{2}}{\left(a^{4}-2 a^{2} b^{2}+2 a^{2} c^{2}+b^{4}-2 c^{2} b^{2}+c^{4}\right) \sqrt{-a^{2}+b^{2}-c^{2}}}-\frac{\arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) b^{2}}{\left(a^{4}-2 a^{2} b^{2}+2 a^{2} c^{2}+b^{4}-2 c^{2} b^{2}+c^{4}\right) \sqrt{-a^{2}+b^{2}-c^{2}}}+\frac{\arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) c^{2}}{\left(a^{4}-2 a^{2} b^{2}+2 a^{2} c^{2}+b^{4}-2 c^{2} b^{2}+c^{4}\right) \sqrt{-a^{2}+b^{2}-c^{2}}}"," ",0,"-2*(-1/2*(4*a^3*b-7*a^2*b^2+5*a^2*c^2+2*a*b^3-2*a*b*c^2+b^4-3*b^2*c^2+2*c^4)/(a-b)/(a^4-2*a^2*b^2+2*a^2*c^2+b^4-2*b^2*c^2+c^4)*tanh(1/2*x)^3-1/2*c*(4*a^4-12*a^3*b+13*a^2*b^2-7*a^2*c^2-6*a*b^3+6*a*b*c^2+b^4+b^2*c^2-2*c^4)/(a^4-2*a^2*b^2+2*a^2*c^2+b^4-2*b^2*c^2+c^4)/(a^2-2*a*b+b^2)*tanh(1/2*x)^2+1/2*(4*a^4*b-5*a^3*b^2+11*a^3*c^2-3*a^2*b^3-3*a^2*b*c^2+5*a*b^4-7*a*b^2*c^2+2*a*c^4-b^5-b^3*c^2+2*b*c^4)/(a^4-2*a^2*b^2+2*a^2*c^2+b^4-2*b^2*c^2+c^4)/(a^2-2*a*b+b^2)*tanh(1/2*x)+1/2*c*(4*a^4-3*a^2*b^2+a^2*c^2-b^4+b^2*c^2)/(a^4-2*a^2*b^2+2*a^2*c^2+b^4-2*b^2*c^2+c^4)/(a^2-2*a*b+b^2))/(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-2*c*tanh(1/2*x)-a-b)^2-2/(a^4-2*a^2*b^2+2*a^2*c^2+b^4-2*b^2*c^2+c^4)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*a^2-1/(a^4-2*a^2*b^2+2*a^2*c^2+b^4-2*b^2*c^2+c^4)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*b^2+1/(a^4-2*a^2*b^2+2*a^2*c^2+b^4-2*b^2*c^2+c^4)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*c^2","B"
745,1,1842,212,0.356000," ","int(1/(a+b*cosh(x)+c*sinh(x))^4,x)","-\frac{2 \left(-\frac{\left(6 a^{5} b -15 a^{4} b^{2}+9 a^{4} c^{2}+11 a^{3} b^{3}-9 a^{3} b \,c^{2}-3 a^{2} b^{4}-3 a^{2} b^{2} c^{2}+6 a^{2} c^{4}+3 a \,b^{5}-3 a \,b^{3} c^{2}-2 b^{6}+6 b^{4} c^{2}-6 b^{2} c^{4}+2 c^{6}\right) \left(\tanh^{5}\left(\frac{x}{2}\right)\right)}{2 \left(a^{6}-3 a^{4} b^{2}+3 a^{4} c^{2}+3 a^{2} b^{4}-6 a^{2} b^{2} c^{2}+3 a^{2} c^{4}-b^{6}+3 b^{4} c^{2}-3 b^{2} c^{4}+c^{6}\right) \left(a -b \right)}-\frac{c \left(6 a^{6}-30 a^{5} b +57 a^{4} b^{2}-27 a^{4} c^{2}-55 a^{3} b^{3}+45 a^{3} b \,c^{2}+33 a^{2} b^{4}-21 a^{2} b^{2} c^{2}-12 a^{2} c^{4}-15 a \,b^{5}+15 a \,b^{3} c^{2}+4 b^{6}-12 b^{4} c^{2}+12 b^{2} c^{4}-4 c^{6}\right) \left(\tanh^{4}\left(\frac{x}{2}\right)\right)}{2 \left(a^{6}-3 a^{4} b^{2}+3 a^{4} c^{2}+3 a^{2} b^{4}-6 a^{2} b^{2} c^{2}+3 a^{2} c^{4}-b^{6}+3 b^{4} c^{2}-3 b^{2} c^{4}+c^{6}\right) \left(a^{2}-2 a b +b^{2}\right)}+\frac{\left(18 a^{7} b -54 a^{6} b^{2}+54 a^{6} c^{2}+38 a^{5} b^{3}-120 a^{5} b \,c^{2}+30 a^{4} b^{4}+81 a^{4} b^{2} c^{2}-21 a^{4} c^{4}-50 a^{3} b^{5}-61 a^{3} b^{3} c^{2}+81 a^{3} b \,c^{4}+22 a^{2} b^{6}+87 a^{2} b^{4} c^{2}-105 a^{2} b^{2} c^{4}-4 a^{2} c^{6}-6 a \,b^{7}-39 a \,b^{5} c^{2}+51 a \,b^{3} c^{4}-6 a b \,c^{6}+2 b^{8}-2 b^{6} c^{2}-6 b^{4} c^{4}+10 c^{6} b^{2}-4 c^{8}\right) \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{3 \left(a^{6}-3 a^{4} b^{2}+3 a^{4} c^{2}+3 a^{2} b^{4}-6 a^{2} b^{2} c^{2}+3 a^{2} c^{4}-b^{6}+3 b^{4} c^{2}-3 b^{2} c^{4}+c^{6}\right) \left(a^{3}-3 a^{2} b +3 a \,b^{2}-b^{3}\right)}+\frac{c \left(6 a^{7}-18 a^{6} b +18 a^{5} b^{2}-20 a^{5} c^{2}-2 a^{4} b^{3}+22 a^{4} b \,c^{2}-14 a^{3} b^{4}+7 a^{3} b^{2} c^{2}-3 a^{3} c^{4}+18 a^{2} b^{5}-6 a^{2} b^{3} c^{2}-12 a^{2} b \,c^{4}-10 a \,b^{6}+3 a \,b^{4} c^{2}+9 a \,b^{2} c^{4}-2 a \,c^{6}+2 b^{7}-6 b^{5} c^{2}+6 b^{3} c^{4}-2 c^{6} b \right) \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{\left(a^{6}-3 a^{4} b^{2}+3 a^{4} c^{2}+3 a^{2} b^{4}-6 a^{2} b^{2} c^{2}+3 a^{2} c^{4}-b^{6}+3 b^{4} c^{2}-3 b^{2} c^{4}+c^{6}\right) \left(a^{2}-2 a b +b^{2}\right) \left(a -b \right)}-\frac{\left(6 a^{7} b -9 a^{6} b^{2}+27 a^{6} c^{2}-7 a^{5} b^{3}-9 a^{5} b \,c^{2}+16 a^{4} b^{4}-30 a^{4} b^{2} c^{2}+4 a^{4} c^{4}-4 a^{3} b^{5}+14 a^{3} b \,c^{4}-5 a^{2} b^{6}-3 a^{2} b^{4} c^{2}+6 a^{2} b^{2} c^{4}+2 a^{2} c^{6}+5 a \,b^{7}+9 a \,b^{5} c^{2}-18 a \,b^{3} c^{4}+4 a b \,c^{6}-2 b^{8}+6 b^{6} c^{2}-6 b^{4} c^{4}+2 c^{6} b^{2}\right) \tanh \left(\frac{x}{2}\right)}{2 \left(a^{6}-3 a^{4} b^{2}+3 a^{4} c^{2}+3 a^{2} b^{4}-6 a^{2} b^{2} c^{2}+3 a^{2} c^{4}-b^{6}+3 b^{4} c^{2}-3 b^{2} c^{4}+c^{6}\right) \left(a^{3}-3 a^{2} b +3 a \,b^{2}-b^{3}\right)}-\frac{a c \left(18 a^{6}-21 a^{4} b^{2}+5 a^{4} c^{2}-12 a^{2} b^{4}+16 a^{2} b^{2} c^{2}+2 a^{2} c^{4}+15 b^{6}-21 b^{4} c^{2}+6 b^{2} c^{4}\right)}{6 \left(a^{6}-3 a^{4} b^{2}+3 a^{4} c^{2}+3 a^{2} b^{4}-6 a^{2} b^{2} c^{2}+3 a^{2} c^{4}-b^{6}+3 b^{4} c^{2}-3 b^{2} c^{4}+c^{6}\right) \left(a^{3}-3 a^{2} b +3 a \,b^{2}-b^{3}\right)}\right)}{\left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -2 c \tanh \left(\frac{x}{2}\right)-a -b \right)^{3}}-\frac{2 a^{3} \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right)}{\left(a^{6}-3 a^{4} b^{2}+3 a^{4} c^{2}+3 a^{2} b^{4}-6 a^{2} b^{2} c^{2}+3 a^{2} c^{4}-b^{6}+3 b^{4} c^{2}-3 b^{2} c^{4}+c^{6}\right) \sqrt{-a^{2}+b^{2}-c^{2}}}-\frac{3 a \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) b^{2}}{\left(a^{6}-3 a^{4} b^{2}+3 a^{4} c^{2}+3 a^{2} b^{4}-6 a^{2} b^{2} c^{2}+3 a^{2} c^{4}-b^{6}+3 b^{4} c^{2}-3 b^{2} c^{4}+c^{6}\right) \sqrt{-a^{2}+b^{2}-c^{2}}}+\frac{3 a \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) c^{2}}{\left(a^{6}-3 a^{4} b^{2}+3 a^{4} c^{2}+3 a^{2} b^{4}-6 a^{2} b^{2} c^{2}+3 a^{2} c^{4}-b^{6}+3 b^{4} c^{2}-3 b^{2} c^{4}+c^{6}\right) \sqrt{-a^{2}+b^{2}-c^{2}}}"," ",0,"-2*(-1/2*(6*a^5*b-15*a^4*b^2+9*a^4*c^2+11*a^3*b^3-9*a^3*b*c^2-3*a^2*b^4-3*a^2*b^2*c^2+6*a^2*c^4+3*a*b^5-3*a*b^3*c^2-2*b^6+6*b^4*c^2-6*b^2*c^4+2*c^6)/(a^6-3*a^4*b^2+3*a^4*c^2+3*a^2*b^4-6*a^2*b^2*c^2+3*a^2*c^4-b^6+3*b^4*c^2-3*b^2*c^4+c^6)/(a-b)*tanh(1/2*x)^5-1/2*c*(6*a^6-30*a^5*b+57*a^4*b^2-27*a^4*c^2-55*a^3*b^3+45*a^3*b*c^2+33*a^2*b^4-21*a^2*b^2*c^2-12*a^2*c^4-15*a*b^5+15*a*b^3*c^2+4*b^6-12*b^4*c^2+12*b^2*c^4-4*c^6)/(a^6-3*a^4*b^2+3*a^4*c^2+3*a^2*b^4-6*a^2*b^2*c^2+3*a^2*c^4-b^6+3*b^4*c^2-3*b^2*c^4+c^6)/(a^2-2*a*b+b^2)*tanh(1/2*x)^4+1/3*(18*a^7*b-54*a^6*b^2+54*a^6*c^2+38*a^5*b^3-120*a^5*b*c^2+30*a^4*b^4+81*a^4*b^2*c^2-21*a^4*c^4-50*a^3*b^5-61*a^3*b^3*c^2+81*a^3*b*c^4+22*a^2*b^6+87*a^2*b^4*c^2-105*a^2*b^2*c^4-4*a^2*c^6-6*a*b^7-39*a*b^5*c^2+51*a*b^3*c^4-6*a*b*c^6+2*b^8-2*b^6*c^2-6*b^4*c^4+10*b^2*c^6-4*c^8)/(a^6-3*a^4*b^2+3*a^4*c^2+3*a^2*b^4-6*a^2*b^2*c^2+3*a^2*c^4-b^6+3*b^4*c^2-3*b^2*c^4+c^6)/(a^3-3*a^2*b+3*a*b^2-b^3)*tanh(1/2*x)^3+c*(6*a^7-18*a^6*b+18*a^5*b^2-20*a^5*c^2-2*a^4*b^3+22*a^4*b*c^2-14*a^3*b^4+7*a^3*b^2*c^2-3*a^3*c^4+18*a^2*b^5-6*a^2*b^3*c^2-12*a^2*b*c^4-10*a*b^6+3*a*b^4*c^2+9*a*b^2*c^4-2*a*c^6+2*b^7-6*b^5*c^2+6*b^3*c^4-2*b*c^6)/(a^6-3*a^4*b^2+3*a^4*c^2+3*a^2*b^4-6*a^2*b^2*c^2+3*a^2*c^4-b^6+3*b^4*c^2-3*b^2*c^4+c^6)/(a^2-2*a*b+b^2)/(a-b)*tanh(1/2*x)^2-1/2*(6*a^7*b-9*a^6*b^2+27*a^6*c^2-7*a^5*b^3-9*a^5*b*c^2+16*a^4*b^4-30*a^4*b^2*c^2+4*a^4*c^4-4*a^3*b^5+14*a^3*b*c^4-5*a^2*b^6-3*a^2*b^4*c^2+6*a^2*b^2*c^4+2*a^2*c^6+5*a*b^7+9*a*b^5*c^2-18*a*b^3*c^4+4*a*b*c^6-2*b^8+6*b^6*c^2-6*b^4*c^4+2*b^2*c^6)/(a^6-3*a^4*b^2+3*a^4*c^2+3*a^2*b^4-6*a^2*b^2*c^2+3*a^2*c^4-b^6+3*b^4*c^2-3*b^2*c^4+c^6)/(a^3-3*a^2*b+3*a*b^2-b^3)*tanh(1/2*x)-1/6*a*c*(18*a^6-21*a^4*b^2+5*a^4*c^2-12*a^2*b^4+16*a^2*b^2*c^2+2*a^2*c^4+15*b^6-21*b^4*c^2+6*b^2*c^4)/(a^6-3*a^4*b^2+3*a^4*c^2+3*a^2*b^4-6*a^2*b^2*c^2+3*a^2*c^4-b^6+3*b^4*c^2-3*b^2*c^4+c^6)/(a^3-3*a^2*b+3*a*b^2-b^3))/(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-2*c*tanh(1/2*x)-a-b)^3-2*a^3/(a^6-3*a^4*b^2+3*a^4*c^2+3*a^2*b^4-6*a^2*b^2*c^2+3*a^2*c^4-b^6+3*b^4*c^2-3*b^2*c^4+c^6)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))-3*a/(a^6-3*a^4*b^2+3*a^4*c^2+3*a^2*b^4-6*a^2*b^2*c^2+3*a^2*c^4-b^6+3*b^4*c^2-3*b^2*c^4+c^6)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*b^2+3*a/(a^6-3*a^4*b^2+3*a^4*c^2+3*a^2*b^4-6*a^2*b^2*c^2+3*a^2*c^4-b^6+3*b^4*c^2-3*b^2*c^4+c^6)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*c^2","B"
746,1,109,95,0.496000," ","int((a+a*cosh(x)+c*sinh(x))^3,x)","a^{3} x +3 a^{3} \sinh \left(x \right)+3 a^{2} c \cosh \left(x \right)+3 a^{3} \left(\frac{\cosh \left(x \right) \sinh \left(x \right)}{2}+\frac{x}{2}\right)+3 a^{2} c \left(\cosh^{2}\left(x \right)\right)+3 a \,c^{2} \left(\frac{\cosh \left(x \right) \sinh \left(x \right)}{2}-\frac{x}{2}\right)+a^{3} \left(\frac{2}{3}+\frac{\left(\cosh^{2}\left(x \right)\right)}{3}\right) \sinh \left(x \right)+a^{2} c \left(\cosh^{3}\left(x \right)\right)+a \,c^{2} \left(\sinh^{3}\left(x \right)\right)+c^{3} \left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(x \right)\right)}{3}\right) \cosh \left(x \right)"," ",0,"a^3*x+3*a^3*sinh(x)+3*a^2*c*cosh(x)+3*a^3*(1/2*cosh(x)*sinh(x)+1/2*x)+3*a^2*c*cosh(x)^2+3*a*c^2*(1/2*cosh(x)*sinh(x)-1/2*x)+a^3*(2/3+1/3*cosh(x)^2)*sinh(x)+a^2*c*cosh(x)^3+a*c^2*sinh(x)^3+c^3*(-2/3+1/3*sinh(x)^2)*cosh(x)","A"
747,1,55,49,0.145000," ","int((a+a*cosh(x)+c*sinh(x))^2,x)","a^{2} x +2 a^{2} \sinh \left(x \right)+2 a c \cosh \left(x \right)+a^{2} \left(\frac{\cosh \left(x \right) \sinh \left(x \right)}{2}+\frac{x}{2}\right)+a c \left(\cosh^{2}\left(x \right)\right)+c^{2} \left(\frac{\cosh \left(x \right) \sinh \left(x \right)}{2}-\frac{x}{2}\right)"," ",0,"a^2*x+2*a^2*sinh(x)+2*a*c*cosh(x)+a^2*(1/2*cosh(x)*sinh(x)+1/2*x)+a*c*cosh(x)^2+c^2*(1/2*cosh(x)*sinh(x)-1/2*x)","A"
748,1,13,12,0.020000," ","int(a+a*cosh(x)+c*sinh(x),x)","a x +c \cosh \left(x \right)+a \sinh \left(x \right)"," ",0,"a*x+c*cosh(x)+a*sinh(x)","A"
749,1,14,13,0.180000," ","int(1/(a+a*cosh(x)+c*sinh(x)),x)","\frac{\ln \left(a +c \tanh \left(\frac{x}{2}\right)\right)}{c}"," ",0,"ln(a+c*tanh(1/2*x))/c","A"
750,1,58,42,0.247000," ","int(1/(a+a*cosh(x)+c*sinh(x))^2,x)","-\frac{\tanh \left(\frac{x}{2}\right)}{2 c^{2}}+\frac{a^{2}}{2 c^{3} \left(a +c \tanh \left(\frac{x}{2}\right)\right)}-\frac{1}{2 c \left(a +c \tanh \left(\frac{x}{2}\right)\right)}+\frac{a \ln \left(a +c \tanh \left(\frac{x}{2}\right)\right)}{c^{3}}"," ",0,"-1/2/c^2*tanh(1/2*x)+1/2/c^3/(a+c*tanh(1/2*x))*a^2-1/2/c/(a+c*tanh(1/2*x))+a*ln(a+c*tanh(1/2*x))/c^3","A"
751,1,138,83,0.270000," ","int(1/(a+a*cosh(x)+c*sinh(x))^3,x)","\frac{\tanh^{2}\left(\frac{x}{2}\right)}{8 c^{3}}-\frac{3 a \tanh \left(\frac{x}{2}\right)}{4 c^{4}}-\frac{a^{4}}{8 c^{5} \left(a +c \tanh \left(\frac{x}{2}\right)\right)^{2}}+\frac{a^{2}}{4 c^{3} \left(a +c \tanh \left(\frac{x}{2}\right)\right)^{2}}-\frac{1}{8 c \left(a +c \tanh \left(\frac{x}{2}\right)\right)^{2}}+\frac{a^{3}}{c^{5} \left(a +c \tanh \left(\frac{x}{2}\right)\right)}-\frac{a}{c^{3} \left(a +c \tanh \left(\frac{x}{2}\right)\right)}+\frac{3 \ln \left(a +c \tanh \left(\frac{x}{2}\right)\right) a^{2}}{2 c^{5}}-\frac{\ln \left(a +c \tanh \left(\frac{x}{2}\right)\right)}{2 c^{3}}"," ",0,"1/8/c^3*tanh(1/2*x)^2-3/4/c^4*a*tanh(1/2*x)-1/8/c^5/(a+c*tanh(1/2*x))^2*a^4+1/4/c^3/(a+c*tanh(1/2*x))^2*a^2-1/8/c/(a+c*tanh(1/2*x))^2+a^3/c^5/(a+c*tanh(1/2*x))-a/c^3/(a+c*tanh(1/2*x))+3/2/c^5*ln(a+c*tanh(1/2*x))*a^2-1/2/c^3*ln(a+c*tanh(1/2*x))","A"
752,1,250,134,0.302000," ","int(1/(a+a*cosh(x)+c*sinh(x))^4,x)","-\frac{\tanh^{3}\left(\frac{x}{2}\right)}{24 c^{4}}+\frac{a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{4 c^{5}}-\frac{5 a^{2} \tanh \left(\frac{x}{2}\right)}{4 c^{6}}+\frac{3 \tanh \left(\frac{x}{2}\right)}{8 c^{4}}+\frac{a^{6}}{24 c^{7} \left(a +c \tanh \left(\frac{x}{2}\right)\right)^{3}}-\frac{a^{4}}{8 c^{5} \left(a +c \tanh \left(\frac{x}{2}\right)\right)^{3}}+\frac{a^{2}}{8 c^{3} \left(a +c \tanh \left(\frac{x}{2}\right)\right)^{3}}-\frac{1}{24 c \left(a +c \tanh \left(\frac{x}{2}\right)\right)^{3}}-\frac{3 a^{5}}{8 c^{7} \left(a +c \tanh \left(\frac{x}{2}\right)\right)^{2}}+\frac{3 a^{3}}{4 c^{5} \left(a +c \tanh \left(\frac{x}{2}\right)\right)^{2}}-\frac{3 a}{8 c^{3} \left(a +c \tanh \left(\frac{x}{2}\right)\right)^{2}}+\frac{5 a^{3} \ln \left(a +c \tanh \left(\frac{x}{2}\right)\right)}{2 c^{7}}-\frac{3 a \ln \left(a +c \tanh \left(\frac{x}{2}\right)\right)}{2 c^{5}}+\frac{15 a^{4}}{8 c^{7} \left(a +c \tanh \left(\frac{x}{2}\right)\right)}-\frac{9 a^{2}}{4 c^{5} \left(a +c \tanh \left(\frac{x}{2}\right)\right)}+\frac{3}{8 c^{3} \left(a +c \tanh \left(\frac{x}{2}\right)\right)}"," ",0,"-1/24/c^4*tanh(1/2*x)^3+1/4/c^5*a*tanh(1/2*x)^2-5/4/c^6*a^2*tanh(1/2*x)+3/8/c^4*tanh(1/2*x)+1/24/c^7/(a+c*tanh(1/2*x))^3*a^6-1/8/c^5/(a+c*tanh(1/2*x))^3*a^4+1/8/c^3/(a+c*tanh(1/2*x))^3*a^2-1/24/c/(a+c*tanh(1/2*x))^3-3/8*a^5/c^7/(a+c*tanh(1/2*x))^2+3/4*a^3/c^5/(a+c*tanh(1/2*x))^2-3/8*a/c^3/(a+c*tanh(1/2*x))^2+5/2*a^3/c^7*ln(a+c*tanh(1/2*x))-3/2*a/c^5*ln(a+c*tanh(1/2*x))+15/8/c^7/(a+c*tanh(1/2*x))*a^4-9/4/c^5/(a+c*tanh(1/2*x))*a^2+3/8/c^3/(a+c*tanh(1/2*x))","A"
753,1,363,164,0.673000," ","int((b*cosh(x)+c*sinh(x)+(b^2-c^2)^(1/2))^4,x)","-2 c^{2} b^{2} x +4 \sqrt{b^{2}-c^{2}}\, b^{3} \left(\frac{2}{3}+\frac{\left(\cosh^{2}\left(x \right)\right)}{3}\right) \sinh \left(x \right)-6 c^{2} b^{2} \left(\frac{\cosh \left(x \right) \sinh \left(x \right)}{2}+\frac{x}{2}\right)+4 \sqrt{b^{2}-c^{2}}\, b^{3} \sinh \left(x \right)+4 \sqrt{b^{2}-c^{2}}\, c^{3} \left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(x \right)\right)}{3}\right) \cosh \left(x \right)+6 c^{2} b^{2} \left(\frac{\cosh \left(x \right) \sinh \left(x \right)}{2}-\frac{x}{2}\right)-4 \sqrt{b^{2}-c^{2}}\, c^{3} \cosh \left(x \right)+b^{4} x +c^{4} x +4 \sqrt{b^{2}-c^{2}}\, b^{2} c \left(\cosh^{3}\left(x \right)\right)+4 \sqrt{b^{2}-c^{2}}\, b \,c^{2} \left(\sinh^{3}\left(x \right)\right)+b^{4} \left(\left(\frac{\left(\cosh^{3}\left(x \right)\right)}{4}+\frac{3 \cosh \left(x \right)}{8}\right) \sinh \left(x \right)+\frac{3 x}{8}\right)+6 b^{4} \left(\frac{\cosh \left(x \right) \sinh \left(x \right)}{2}+\frac{x}{2}\right)+c^{4} \left(\left(\frac{\left(\sinh^{3}\left(x \right)\right)}{4}-\frac{3 \sinh \left(x \right)}{8}\right) \cosh \left(x \right)+\frac{3 x}{8}\right)-6 c^{4} \left(\frac{\cosh \left(x \right) \sinh \left(x \right)}{2}-\frac{x}{2}\right)+b^{3} \left(\cosh^{4}\left(x \right)\right) c +6 c^{2} b^{2} \left(\frac{\sinh \left(x \right) \left(\cosh^{3}\left(x \right)\right)}{4}-\frac{\cosh \left(x \right) \sinh \left(x \right)}{8}-\frac{x}{8}\right)+b \,c^{3} \left(\sinh^{4}\left(x \right)\right)+6 b^{3} \left(\cosh^{2}\left(x \right)\right) c -6 b \left(\cosh^{2}\left(x \right)\right) c^{3}-4 \sqrt{b^{2}-c^{2}}\, b \,c^{2} \sinh \left(x \right)+4 \sqrt{b^{2}-c^{2}}\, b^{2} c \cosh \left(x \right)"," ",0,"-2*c^2*b^2*x+4*(b^2-c^2)^(1/2)*b^3*(2/3+1/3*cosh(x)^2)*sinh(x)-6*c^2*b^2*(1/2*cosh(x)*sinh(x)+1/2*x)+4*(b^2-c^2)^(1/2)*b^3*sinh(x)+4*(b^2-c^2)^(1/2)*c^3*(-2/3+1/3*sinh(x)^2)*cosh(x)+6*c^2*b^2*(1/2*cosh(x)*sinh(x)-1/2*x)-4*(b^2-c^2)^(1/2)*c^3*cosh(x)+b^4*x+c^4*x+4*(b^2-c^2)^(1/2)*b^2*c*cosh(x)^3+4*(b^2-c^2)^(1/2)*b*c^2*sinh(x)^3+b^4*((1/4*cosh(x)^3+3/8*cosh(x))*sinh(x)+3/8*x)+6*b^4*(1/2*cosh(x)*sinh(x)+1/2*x)+c^4*((1/4*sinh(x)^3-3/8*sinh(x))*cosh(x)+3/8*x)-6*c^4*(1/2*cosh(x)*sinh(x)-1/2*x)+b^3*cosh(x)^4*c+6*c^2*b^2*(1/4*sinh(x)*cosh(x)^3-1/8*cosh(x)*sinh(x)-1/8*x)+b*c^3*sinh(x)^4+6*b^3*cosh(x)^2*c-6*b*cosh(x)^2*c^3-4*(b^2-c^2)^(1/2)*b*c^2*sinh(x)+4*(b^2-c^2)^(1/2)*b^2*c*cosh(x)","B"
754,1,182,118,0.421000," ","int((b*cosh(x)+c*sinh(x)+(b^2-c^2)^(1/2))^3,x)","b^{3} \left(\frac{2}{3}+\frac{\left(\cosh^{2}\left(x \right)\right)}{3}\right) \sinh \left(x \right)+\left(\cosh^{3}\left(x \right)\right) b^{2} c +3 \sqrt{b^{2}-c^{2}}\, b^{2} \left(\frac{\cosh \left(x \right) \sinh \left(x \right)}{2}+\frac{x}{2}\right)+b \,c^{2} \left(\sinh^{3}\left(x \right)\right)+3 \sqrt{b^{2}-c^{2}}\, b c \left(\cosh^{2}\left(x \right)\right)+3 b^{3} \sinh \left(x \right)-3 b \,c^{2} \sinh \left(x \right)+c^{3} \left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(x \right)\right)}{3}\right) \cosh \left(x \right)+3 \sqrt{b^{2}-c^{2}}\, c^{2} \left(\frac{\cosh \left(x \right) \sinh \left(x \right)}{2}-\frac{x}{2}\right)+3 c \,b^{2} \cosh \left(x \right)-3 c^{3} \cosh \left(x \right)+\sqrt{b^{2}-c^{2}}\, b^{2} x -\sqrt{b^{2}-c^{2}}\, c^{2} x"," ",0,"b^3*(2/3+1/3*cosh(x)^2)*sinh(x)+cosh(x)^3*b^2*c+3*(b^2-c^2)^(1/2)*b^2*(1/2*cosh(x)*sinh(x)+1/2*x)+b*c^2*sinh(x)^3+3*(b^2-c^2)^(1/2)*b*c*cosh(x)^2+3*b^3*sinh(x)-3*b*c^2*sinh(x)+c^3*(-2/3+1/3*sinh(x)^2)*cosh(x)+3*(b^2-c^2)^(1/2)*c^2*(1/2*cosh(x)*sinh(x)-1/2*x)+3*c*b^2*cosh(x)-3*c^3*cosh(x)+(b^2-c^2)^(1/2)*b^2*x-(b^2-c^2)^(1/2)*c^2*x","A"
755,1,80,76,0.158000," ","int((b*cosh(x)+c*sinh(x)+(b^2-c^2)^(1/2))^2,x)","b^{2} \left(\frac{\cosh \left(x \right) \sinh \left(x \right)}{2}+\frac{x}{2}\right)+c b \left(\cosh^{2}\left(x \right)\right)+c^{2} \left(\frac{\cosh \left(x \right) \sinh \left(x \right)}{2}-\frac{x}{2}\right)+2 b \sinh \left(x \right) \sqrt{b^{2}-c^{2}}+2 c \cosh \left(x \right) \sqrt{b^{2}-c^{2}}+b^{2} x -c^{2} x"," ",0,"b^2*(1/2*cosh(x)*sinh(x)+1/2*x)+c*b*cosh(x)^2+c^2*(1/2*cosh(x)*sinh(x)-1/2*x)+2*b*sinh(x)*(b^2-c^2)^(1/2)+2*c*cosh(x)*(b^2-c^2)^(1/2)+b^2*x-c^2*x","A"
756,1,23,22,0.019000," ","int(b*cosh(x)+c*sinh(x)+(b^2-c^2)^(1/2),x)","c \cosh \left(x \right)+b \sinh \left(x \right)+x \sqrt{b^{2}-c^{2}}"," ",0,"c*cosh(x)+b*sinh(x)+x*(b^2-c^2)^(1/2)","A"
757,1,596,34,0.617000," ","int(1/(b*cosh(x)+c*sinh(x)+(b^2-c^2)^(1/2)),x)","\frac{\left(\munderset{\textit{\_R} =\RootOf \left(\left({| \left(b -c \right) \left(b +c \right)|} \mathrm{signum}\left(\left(b -c \right) \left(b +c \right)\right)^{2}-2 \sqrt{{| \left(b -c \right) \left(b +c \right)|}}\, \mathrm{signum}\left(\left(b -c \right) \left(b +c \right)\right) b +{| \left(b -c \right) \left(b +c \right)|}-2 \sqrt{{| \left(b -c \right) \left(b +c \right)|}}\, b +2 b^{2}\right) \textit{\_Z}^{4}+\left(-4 \sqrt{{| \left(b -c \right) \left(b +c \right)|}}\, \mathrm{signum}\left(\left(b -c \right) \left(b +c \right)\right) c -4 \sqrt{{| \left(b -c \right) \left(b +c \right)|}}\, c +8 c b \right) \textit{\_Z}^{3}+\left(-2 {| \left(b -c \right) \left(b +c \right)|} \mathrm{signum}\left(\left(b -c \right) \left(b +c \right)\right)^{2}-2 {| \left(b -c \right) \left(b +c \right)|}+4 b^{2}+8 c^{2}\right) \textit{\_Z}^{2}+\left(4 \sqrt{{| \left(b -c \right) \left(b +c \right)|}}\, \mathrm{signum}\left(\left(b -c \right) \left(b +c \right)\right) c +4 \sqrt{{| \left(b -c \right) \left(b +c \right)|}}\, c +8 c b \right) \textit{\_Z} +{| \left(b -c \right) \left(b +c \right)|} \mathrm{signum}\left(\left(b -c \right) \left(b +c \right)\right)^{2}+2 \sqrt{{| \left(b -c \right) \left(b +c \right)|}}\, \mathrm{signum}\left(\left(b -c \right) \left(b +c \right)\right) b +{| \left(b -c \right) \left(b +c \right)|}+2 \sqrt{{| \left(b -c \right) \left(b +c \right)|}}\, b +2 b^{2}\right)}{\sum}\frac{\left(2 b \,\textit{\_R}^{2}+4 \textit{\_R} c +2 b +\sqrt{{| b^{2}-c^{2}|}}\, \left(1-i+\textit{\_R}^{2} \left(-1+i-i \mathrm{signum}\left(b^{2}-c^{2}\right)-\mathrm{signum}\left(b^{2}-c^{2}\right)\right)+i \mathrm{signum}\left(b^{2}-c^{2}\right)+\mathrm{signum}\left(b^{2}-c^{2}\right)\right)\right) \ln \left(\tanh \left(\frac{x}{2}\right)-\textit{\_R} \right)}{{| \left(b -c \right) \left(b +c \right)|} \textit{\_R}^{3} \mathrm{signum}\left(\left(b -c \right) \left(b +c \right)\right)^{2}-{| \left(b -c \right) \left(b +c \right)|} \textit{\_R} \mathrm{signum}\left(\left(b -c \right) \left(b +c \right)\right)^{2}+{| \left(b -c \right) \left(b +c \right)|} \textit{\_R}^{3}+2 b^{2} \textit{\_R}^{3}+6 \textit{\_R}^{2} b c -{| \left(b -c \right) \left(b +c \right)|} \textit{\_R} +2 b^{2} \textit{\_R} +4 c^{2} \textit{\_R} +2 c b +\sqrt{{| \left(b -c \right) \left(b +c \right)|}}\, \left(-2 \,\mathrm{signum}\left(\left(b -c \right) \left(b +c \right)\right) b \,\textit{\_R}^{3}-3 \,\mathrm{signum}\left(\left(b -c \right) \left(b +c \right)\right) c \,\textit{\_R}^{2}-2 b \,\textit{\_R}^{3}-3 c \,\textit{\_R}^{2}+\mathrm{signum}\left(\left(b -c \right) \left(b +c \right)\right) c +c \right)}\right)}{2}"," ",0,"1/2*sum((2*b*_R^2+4*_R*c+2*b+abs(b^2-c^2)^(1/2)*(1-I+_R^2*(-1+I-I*signum(b^2-c^2)-signum(b^2-c^2))+I*signum(b^2-c^2)+signum(b^2-c^2)))/(abs((b-c)*(b+c))*_R^3*signum((b-c)*(b+c))^2-abs((b-c)*(b+c))*_R*signum((b-c)*(b+c))^2+abs((b-c)*(b+c))*_R^3+2*b^2*_R^3+6*_R^2*b*c-abs((b-c)*(b+c))*_R+2*b^2*_R+4*c^2*_R+2*c*b+abs((b-c)*(b+c))^(1/2)*(-2*signum((b-c)*(b+c))*b*_R^3-3*signum((b-c)*(b+c))*c*_R^2-2*b*_R^3-3*c*_R^2+signum((b-c)*(b+c))*c+c))*ln(tanh(1/2*x)-_R),_R=RootOf((abs((b-c)*(b+c))*signum((b-c)*(b+c))^2-2*abs((b-c)*(b+c))^(1/2)*signum((b-c)*(b+c))*b+abs((b-c)*(b+c))-2*abs((b-c)*(b+c))^(1/2)*b+2*b^2)*_Z^4+(-4*abs((b-c)*(b+c))^(1/2)*signum((b-c)*(b+c))*c-4*abs((b-c)*(b+c))^(1/2)*c+8*c*b)*_Z^3+(-2*abs((b-c)*(b+c))*signum((b-c)*(b+c))^2-2*abs((b-c)*(b+c))+4*b^2+8*c^2)*_Z^2+(4*abs((b-c)*(b+c))^(1/2)*signum((b-c)*(b+c))*c+4*abs((b-c)*(b+c))^(1/2)*c+8*c*b)*_Z+abs((b-c)*(b+c))*signum((b-c)*(b+c))^2+2*abs((b-c)*(b+c))^(1/2)*signum((b-c)*(b+c))*b+abs((b-c)*(b+c))+2*abs((b-c)*(b+c))^(1/2)*b+2*b^2))","C"
758,1,217,91,0.365000," ","int(1/(b*cosh(x)+c*sinh(x)+(b^2-c^2)^(1/2))^2,x)","\frac{2 \left(\sqrt{b^{2}-c^{2}}+b \right) \left(\frac{\left(\sqrt{b^{2}-c^{2}}+b \right) \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{c^{2}}+\frac{\left(2 b^{2}-c^{2}+2 \sqrt{b^{2}-c^{2}}\, b \right) \tanh \left(\frac{x}{2}\right)}{c^{3}}+\frac{\frac{4 \sqrt{b^{2}-c^{2}}\, b^{2}}{3}-\frac{2 \sqrt{b^{2}-c^{2}}\, c^{2}}{3}+\frac{4 b^{3}}{3}-\frac{4 b \,c^{2}}{3}}{c^{4}}\right)}{c^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+\frac{2 \sqrt{\left(b -c \right) \left(b +c \right)}\, \tanh \left(\frac{x}{2}\right)}{c}+\frac{2 \tanh \left(\frac{x}{2}\right) b}{c}+\frac{2 \sqrt{\left(b -c \right) \left(b +c \right)}\, b}{c^{2}}+\frac{2 b^{2}}{c^{2}}-1\right) \left(\tanh \left(\frac{x}{2}\right)+\frac{\sqrt{\left(b -c \right) \left(b +c \right)}}{c}+\frac{b}{c}\right)}"," ",0,"2*((b^2-c^2)^(1/2)+b)/c^2*(((b^2-c^2)^(1/2)+b)/c^2*tanh(1/2*x)^2+(2*b^2-c^2+2*(b^2-c^2)^(1/2)*b)/c^3*tanh(1/2*x)+2/3*(2*(b^2-c^2)^(1/2)*b^2-(b^2-c^2)^(1/2)*c^2+2*b^3-2*b*c^2)/c^4)/(tanh(1/2*x)^2+2/c*((b-c)*(b+c))^(1/2)*tanh(1/2*x)+2/c*tanh(1/2*x)*b+2/c^2*((b-c)*(b+c))^(1/2)*b+2/c^2*b^2-1)/(tanh(1/2*x)+1/c*((b-c)*(b+c))^(1/2)+b/c)","B"
759,1,488,132,0.470000," ","int(1/(b*cosh(x)+c*sinh(x)+(b^2-c^2)^(1/2))^3,x)","\frac{-\frac{2 \left(4 \sqrt{b^{2}-c^{2}}\, b^{2}-\sqrt{b^{2}-c^{2}}\, c^{2}+4 b^{3}-3 b \,c^{2}\right) \left(\tanh^{4}\left(\frac{x}{2}\right)\right)}{c^{2}}-\frac{4 \left(8 b^{4}-8 c^{2} b^{2}+c^{4}+8 \sqrt{b^{2}-c^{2}}\, b^{3}-4 \sqrt{b^{2}-c^{2}}\, c^{2} b \right) \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{c^{3}}-\frac{8 \left(24 \sqrt{b^{2}-c^{2}}\, b^{4}-20 \sqrt{b^{2}-c^{2}}\, b^{2} c^{2}+2 \sqrt{b^{2}-c^{2}}\, c^{4}+24 b^{5}-32 b^{3} c^{2}+9 b \,c^{4}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{3 c^{4}}-\frac{4 \left(48 b^{6}-76 b^{4} c^{2}+31 b^{2} c^{4}-2 c^{6}+48 \sqrt{b^{2}-c^{2}}\, b^{5}-52 \sqrt{b^{2}-c^{2}}\, b^{3} c^{2}+11 \sqrt{b^{2}-c^{2}}\, b \,c^{4}\right) \tanh \left(\frac{x}{2}\right)}{3 c^{5}}-\frac{2 \left(192 \sqrt{b^{2}-c^{2}}\, b^{6}-256 \sqrt{b^{2}-c^{2}}\, b^{4} c^{2}+96 \sqrt{b^{2}-c^{2}}\, b^{2} c^{4}-7 \sqrt{b^{2}-c^{2}}\, c^{6}+192 b^{7}-352 b^{5} c^{2}+200 b^{3} c^{4}-35 c^{6} b \right)}{15 c^{6}}}{c^{4} \left(\tanh^{2}\left(\frac{x}{2}\right)+\frac{2 \sqrt{b^{2}-c^{2}}\, \tanh \left(\frac{x}{2}\right)}{c}+\frac{2 \tanh \left(\frac{x}{2}\right) b}{c}+\frac{2 \sqrt{b^{2}-c^{2}}\, b}{c^{2}}+\frac{2 b^{2}}{c^{2}}-1\right)^{2} \left(\tanh \left(\frac{x}{2}\right)+\frac{\sqrt{b^{2}-c^{2}}}{c}+\frac{b}{c}\right)}"," ",0,"2/c^4*(-(4*(b^2-c^2)^(1/2)*b^2-(b^2-c^2)^(1/2)*c^2+4*b^3-3*b*c^2)/c^2*tanh(1/2*x)^4-2*(8*b^4-8*c^2*b^2+c^4+8*(b^2-c^2)^(1/2)*b^3-4*(b^2-c^2)^(1/2)*c^2*b)/c^3*tanh(1/2*x)^3-4/3*(24*(b^2-c^2)^(1/2)*b^4-20*(b^2-c^2)^(1/2)*b^2*c^2+2*(b^2-c^2)^(1/2)*c^4+24*b^5-32*b^3*c^2+9*b*c^4)/c^4*tanh(1/2*x)^2-2/3*(48*b^6-76*b^4*c^2+31*b^2*c^4-2*c^6+48*(b^2-c^2)^(1/2)*b^5-52*(b^2-c^2)^(1/2)*b^3*c^2+11*(b^2-c^2)^(1/2)*b*c^4)/c^5*tanh(1/2*x)-1/15/c^6*(192*(b^2-c^2)^(1/2)*b^6-256*(b^2-c^2)^(1/2)*b^4*c^2+96*(b^2-c^2)^(1/2)*b^2*c^4-7*(b^2-c^2)^(1/2)*c^6+192*b^7-352*b^5*c^2+200*b^3*c^4-35*c^6*b))/(tanh(1/2*x)^2+2/c*(b^2-c^2)^(1/2)*tanh(1/2*x)+2/c*tanh(1/2*x)*b+2/c^2*(b^2-c^2)^(1/2)*b+2/c^2*b^2-1)^2/(tanh(1/2*x)+1/c*(b^2-c^2)^(1/2)+b/c)","B"
760,1,828,176,0.662000," ","int(1/(b*cosh(x)+c*sinh(x)+(b^2-c^2)^(1/2))^4,x)","\frac{\frac{2 \left(8 b^{4}-8 c^{2} b^{2}+c^{4}+8 \sqrt{b^{2}-c^{2}}\, b^{3}-4 \sqrt{b^{2}-c^{2}}\, c^{2} b \right) \left(\tanh^{6}\left(\frac{x}{2}\right)\right)}{c^{2}}+\frac{6 \left(16 \sqrt{b^{2}-c^{2}}\, b^{4}-12 \sqrt{b^{2}-c^{2}}\, b^{2} c^{2}+\sqrt{b^{2}-c^{2}}\, c^{4}+16 b^{5}-20 b^{3} c^{2}+5 b \,c^{4}\right) \left(\tanh^{5}\left(\frac{x}{2}\right)\right)}{c^{3}}+\frac{4 \left(80 \sqrt{b^{2}-c^{2}}\, b^{5}-84 \sqrt{b^{2}-c^{2}}\, b^{3} c^{2}+17 \sqrt{b^{2}-c^{2}}\, b \,c^{4}+80 b^{6}-124 b^{4} c^{2}+49 b^{2} c^{4}-3 c^{6}\right) \left(\tanh^{4}\left(\frac{x}{2}\right)\right)}{c^{4}}+\frac{4 \left(160 b^{7}-288 b^{5} c^{2}+150 b^{3} c^{4}-20 c^{6} b +160 \sqrt{b^{2}-c^{2}}\, b^{6}-208 \sqrt{b^{2}-c^{2}}\, b^{4} c^{2}+66 \sqrt{b^{2}-c^{2}}\, b^{2} c^{4}-3 \sqrt{b^{2}-c^{2}}\, c^{6}\right) \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{c^{5}}+\frac{6 \left(640 b^{7} \sqrt{b^{2}-c^{2}}-992 \sqrt{b^{2}-c^{2}}\, b^{5} c^{2}+440 \sqrt{b^{2}-c^{2}}\, b^{3} c^{4}-50 \sqrt{b^{2}-c^{2}}\, b \,c^{6}+640 b^{8}-1312 b^{6} c^{2}+856 b^{4} c^{4}-186 c^{6} b^{2}+7 c^{8}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{5 c^{6}}+\frac{2 \left(1280 b^{9}-2944 b^{7} c^{2}+2288 b^{5} c^{4}-676 b^{3} c^{6}+57 b \,c^{8}+1280 \sqrt{b^{2}-c^{2}}\, b^{8}-2304 \sqrt{b^{2}-c^{2}}\, b^{6} c^{2}+1296 \sqrt{b^{2}-c^{2}}\, b^{4} c^{4}-236 \sqrt{b^{2}-c^{2}}\, b^{2} c^{6}+7 \sqrt{b^{2}-c^{2}}\, c^{8}\right) \tanh \left(\frac{x}{2}\right)}{5 c^{7}}+\frac{2 \left(\frac{512 \sqrt{b^{2}-c^{2}}\, b^{9}}{7}-\frac{5248 \sqrt{b^{2}-c^{2}}\, b^{7} c^{2}}{35}+\frac{512 \sqrt{b^{2}-c^{2}}\, b^{5} c^{4}}{5}-\frac{136 \sqrt{b^{2}-c^{2}}\, b^{3} c^{6}}{5}+\frac{12 \sqrt{b^{2}-c^{2}}\, b \,c^{8}}{5}+\frac{512 b^{10}}{7}-\frac{6528 b^{8} c^{2}}{35}+\frac{5888 b^{6} c^{4}}{35}-\frac{2248 b^{4} c^{6}}{35}+\frac{68 b^{2} c^{8}}{7}-\frac{12 c^{10}}{35}\right)}{c^{8}}}{c^{6} \left(\tanh^{2}\left(\frac{x}{2}\right)+\frac{2 \sqrt{b^{2}-c^{2}}\, \tanh \left(\frac{x}{2}\right)}{c}+\frac{2 \tanh \left(\frac{x}{2}\right) b}{c}+\frac{2 \sqrt{b^{2}-c^{2}}\, b}{c^{2}}+\frac{2 b^{2}}{c^{2}}-1\right)^{3} \left(\tanh \left(\frac{x}{2}\right)+\frac{\sqrt{b^{2}-c^{2}}}{c}+\frac{b}{c}\right)}"," ",0,"2/c^6*((8*b^4-8*c^2*b^2+c^4+8*(b^2-c^2)^(1/2)*b^3-4*(b^2-c^2)^(1/2)*c^2*b)/c^2*tanh(1/2*x)^6+3*(16*(b^2-c^2)^(1/2)*b^4-12*(b^2-c^2)^(1/2)*b^2*c^2+(b^2-c^2)^(1/2)*c^4+16*b^5-20*b^3*c^2+5*b*c^4)/c^3*tanh(1/2*x)^5+2*(80*(b^2-c^2)^(1/2)*b^5-84*(b^2-c^2)^(1/2)*b^3*c^2+17*(b^2-c^2)^(1/2)*b*c^4+80*b^6-124*b^4*c^2+49*b^2*c^4-3*c^6)/c^4*tanh(1/2*x)^4+2*(160*b^7-288*b^5*c^2+150*b^3*c^4-20*c^6*b+160*(b^2-c^2)^(1/2)*b^6-208*(b^2-c^2)^(1/2)*b^4*c^2+66*(b^2-c^2)^(1/2)*b^2*c^4-3*(b^2-c^2)^(1/2)*c^6)/c^5*tanh(1/2*x)^3+3/5*(640*b^7*(b^2-c^2)^(1/2)-992*(b^2-c^2)^(1/2)*b^5*c^2+440*(b^2-c^2)^(1/2)*b^3*c^4-50*(b^2-c^2)^(1/2)*b*c^6+640*b^8-1312*b^6*c^2+856*b^4*c^4-186*c^6*b^2+7*c^8)/c^6*tanh(1/2*x)^2+1/5*(1280*b^9-2944*b^7*c^2+2288*b^5*c^4-676*b^3*c^6+57*b*c^8+1280*(b^2-c^2)^(1/2)*b^8-2304*(b^2-c^2)^(1/2)*b^6*c^2+1296*(b^2-c^2)^(1/2)*b^4*c^4-236*(b^2-c^2)^(1/2)*b^2*c^6+7*(b^2-c^2)^(1/2)*c^8)/c^7*tanh(1/2*x)+4/35*(640*(b^2-c^2)^(1/2)*b^9-1312*(b^2-c^2)^(1/2)*b^7*c^2+896*(b^2-c^2)^(1/2)*b^5*c^4-238*(b^2-c^2)^(1/2)*b^3*c^6+21*(b^2-c^2)^(1/2)*b*c^8+640*b^10-1632*b^8*c^2+1472*b^6*c^4-562*b^4*c^6+85*b^2*c^8-3*c^10)/c^8)/(tanh(1/2*x)^2+2/c*(b^2-c^2)^(1/2)*tanh(1/2*x)+2/c*tanh(1/2*x)*b+2/c^2*(b^2-c^2)^(1/2)*b+2/c^2*b^2-1)^3/(tanh(1/2*x)+1/c*(b^2-c^2)^(1/2)+b/c)","B"
761,1,1036,328,1.383000," ","int((a+b*cosh(x)+c*sinh(x))^(5/2),x)","\frac{-6 \ln \left(\frac{\cosh \left(x \right) \sinh \left(x \right) \left(-b^{2}+c^{2}\right)+\cosh \left(x \right) \sqrt{b^{2}-c^{2}}\, a +\sqrt{\frac{\left(-b^{2}+c^{2}\right) \left(\sinh^{3}\left(x \right)\right)}{\sqrt{b^{2}-c^{2}}}+a \left(\sinh^{2}\left(x \right)\right)}\, \sqrt{b^{2}-c^{2}}\, \sqrt{\frac{\left(-b^{2}+c^{2}\right) \sinh \left(x \right)}{\sqrt{b^{2}-c^{2}}}+a}}{\sqrt{b^{2}-c^{2}}\, \sqrt{\frac{\left(-b^{2}+c^{2}\right) \sinh \left(x \right)}{\sqrt{b^{2}-c^{2}}}+a}}\right) \sqrt{\frac{\left(-b^{2}+c^{2}\right) \left(\sinh^{3}\left(x \right)\right)}{\sqrt{b^{2}-c^{2}}}+a \left(\sinh^{2}\left(x \right)\right)}\, a^{4}+3 \ln \left(\frac{\cosh \left(x \right) \sinh \left(x \right) \left(-b^{2}+c^{2}\right)+\cosh \left(x \right) \sqrt{b^{2}-c^{2}}\, a +\sqrt{\frac{\left(-b^{2}+c^{2}\right) \left(\sinh^{3}\left(x \right)\right)}{\sqrt{b^{2}-c^{2}}}+a \left(\sinh^{2}\left(x \right)\right)}\, \sqrt{b^{2}-c^{2}}\, \sqrt{\frac{\left(-b^{2}+c^{2}\right) \sinh \left(x \right)}{\sqrt{b^{2}-c^{2}}}+a}}{\sqrt{b^{2}-c^{2}}\, \sqrt{\frac{\left(-b^{2}+c^{2}\right) \sinh \left(x \right)}{\sqrt{b^{2}-c^{2}}}+a}}\right) \sqrt{\frac{\left(-b^{2}+c^{2}\right) \left(\sinh^{3}\left(x \right)\right)}{\sqrt{b^{2}-c^{2}}}+a \left(\sinh^{2}\left(x \right)\right)}\, a^{2} b^{2}-3 \ln \left(\frac{\cosh \left(x \right) \sinh \left(x \right) \left(-b^{2}+c^{2}\right)+\cosh \left(x \right) \sqrt{b^{2}-c^{2}}\, a +\sqrt{\frac{\left(-b^{2}+c^{2}\right) \left(\sinh^{3}\left(x \right)\right)}{\sqrt{b^{2}-c^{2}}}+a \left(\sinh^{2}\left(x \right)\right)}\, \sqrt{b^{2}-c^{2}}\, \sqrt{\frac{\left(-b^{2}+c^{2}\right) \sinh \left(x \right)}{\sqrt{b^{2}-c^{2}}}+a}}{\sqrt{b^{2}-c^{2}}\, \sqrt{\frac{\left(-b^{2}+c^{2}\right) \sinh \left(x \right)}{\sqrt{b^{2}-c^{2}}}+a}}\right) \sqrt{\frac{\left(-b^{2}+c^{2}\right) \left(\sinh^{3}\left(x \right)\right)}{\sqrt{b^{2}-c^{2}}}+a \left(\sinh^{2}\left(x \right)\right)}\, a^{2} c^{2}+5 \left(\sinh^{3}\left(x \right)\right) \cosh \left(x \right) \left(b^{2}-c^{2}\right)^{\frac{3}{2}} \sqrt{\frac{\left(-b^{2}+c^{2}\right) \sinh \left(x \right)}{\sqrt{b^{2}-c^{2}}}+a}\, a -2 \left(b^{4}-2 c^{2} b^{2}+c^{4}\right) \cosh \left(x \right) \left(\sinh^{4}\left(x \right)\right) \sqrt{\frac{\left(-b^{2}+c^{2}\right) \sinh \left(x \right)}{\sqrt{b^{2}-c^{2}}}+a}+3 \left(2 a^{2}-b^{2}+c^{2}\right) \sinh \left(x \right) \ln \left(\frac{\cosh \left(x \right) \sinh \left(x \right) \left(-b^{2}+c^{2}\right)+\cosh \left(x \right) \sqrt{b^{2}-c^{2}}\, a +\sqrt{\frac{\left(-b^{2}+c^{2}\right) \left(\sinh^{3}\left(x \right)\right)}{\sqrt{b^{2}-c^{2}}}+a \left(\sinh^{2}\left(x \right)\right)}\, \sqrt{b^{2}-c^{2}}\, \sqrt{\frac{\left(-b^{2}+c^{2}\right) \sinh \left(x \right)}{\sqrt{b^{2}-c^{2}}}+a}}{\sqrt{b^{2}-c^{2}}\, \sqrt{\frac{\left(-b^{2}+c^{2}\right) \sinh \left(x \right)}{\sqrt{b^{2}-c^{2}}}+a}}\right) \sqrt{\frac{\left(-b^{2}+c^{2}\right) \left(\sinh^{3}\left(x \right)\right)}{\sqrt{b^{2}-c^{2}}}+a \left(\sinh^{2}\left(x \right)\right)}\, \sqrt{b^{2}-c^{2}}\, a +2 \sinh \left(x \right) \cosh \left(x \right) \left(9 a^{2}-2 b^{2}+2 c^{2}\right) \sqrt{b^{2}-c^{2}}\, \sqrt{\frac{\left(-b^{2}+c^{2}\right) \sinh \left(x \right)}{\sqrt{b^{2}-c^{2}}}+a}\, a -\left(21 a^{2} b^{2}-21 a^{2} c^{2}-4 b^{4}+8 c^{2} b^{2}-4 c^{4}\right) \cosh \left(x \right) \left(\sinh^{2}\left(x \right)\right) \sqrt{\frac{\left(-b^{2}+c^{2}\right) \sinh \left(x \right)}{\sqrt{b^{2}-c^{2}}}+a}}{6 \left(-b^{2} \left(\sinh^{2}\left(x \right)\right)+c^{2} \left(\sinh^{2}\left(x \right)\right)+2 \sinh \left(x \right) a \sqrt{b^{2}-c^{2}}-a^{2}\right) \sinh \left(x \right)}"," ",0,"1/6/(-b^2*sinh(x)^2+c^2*sinh(x)^2+2*sinh(x)*a*(b^2-c^2)^(1/2)-a^2)/sinh(x)*(-6*ln((cosh(x)*sinh(x)*(-b^2+c^2)+cosh(x)*(b^2-c^2)^(1/2)*a+((-b^2+c^2)/(b^2-c^2)^(1/2)*sinh(x)^3+a*sinh(x)^2)^(1/2)*(b^2-c^2)^(1/2)*((-b^2+c^2)/(b^2-c^2)^(1/2)*sinh(x)+a)^(1/2))/(b^2-c^2)^(1/2)/((-b^2+c^2)/(b^2-c^2)^(1/2)*sinh(x)+a)^(1/2))*((-b^2+c^2)/(b^2-c^2)^(1/2)*sinh(x)^3+a*sinh(x)^2)^(1/2)*a^4+3*ln((cosh(x)*sinh(x)*(-b^2+c^2)+cosh(x)*(b^2-c^2)^(1/2)*a+((-b^2+c^2)/(b^2-c^2)^(1/2)*sinh(x)^3+a*sinh(x)^2)^(1/2)*(b^2-c^2)^(1/2)*((-b^2+c^2)/(b^2-c^2)^(1/2)*sinh(x)+a)^(1/2))/(b^2-c^2)^(1/2)/((-b^2+c^2)/(b^2-c^2)^(1/2)*sinh(x)+a)^(1/2))*((-b^2+c^2)/(b^2-c^2)^(1/2)*sinh(x)^3+a*sinh(x)^2)^(1/2)*a^2*b^2-3*ln((cosh(x)*sinh(x)*(-b^2+c^2)+cosh(x)*(b^2-c^2)^(1/2)*a+((-b^2+c^2)/(b^2-c^2)^(1/2)*sinh(x)^3+a*sinh(x)^2)^(1/2)*(b^2-c^2)^(1/2)*((-b^2+c^2)/(b^2-c^2)^(1/2)*sinh(x)+a)^(1/2))/(b^2-c^2)^(1/2)/((-b^2+c^2)/(b^2-c^2)^(1/2)*sinh(x)+a)^(1/2))*((-b^2+c^2)/(b^2-c^2)^(1/2)*sinh(x)^3+a*sinh(x)^2)^(1/2)*a^2*c^2+5*sinh(x)^3*cosh(x)*(b^2-c^2)^(3/2)*((-b^2+c^2)/(b^2-c^2)^(1/2)*sinh(x)+a)^(1/2)*a-2*(b^4-2*b^2*c^2+c^4)*cosh(x)*sinh(x)^4*((-b^2+c^2)/(b^2-c^2)^(1/2)*sinh(x)+a)^(1/2)+3*(2*a^2-b^2+c^2)*sinh(x)*ln((cosh(x)*sinh(x)*(-b^2+c^2)+cosh(x)*(b^2-c^2)^(1/2)*a+((-b^2+c^2)/(b^2-c^2)^(1/2)*sinh(x)^3+a*sinh(x)^2)^(1/2)*(b^2-c^2)^(1/2)*((-b^2+c^2)/(b^2-c^2)^(1/2)*sinh(x)+a)^(1/2))/(b^2-c^2)^(1/2)/((-b^2+c^2)/(b^2-c^2)^(1/2)*sinh(x)+a)^(1/2))*((-b^2+c^2)/(b^2-c^2)^(1/2)*sinh(x)^3+a*sinh(x)^2)^(1/2)*(b^2-c^2)^(1/2)*a+2*sinh(x)*cosh(x)*(9*a^2-2*b^2+2*c^2)*(b^2-c^2)^(1/2)*((-b^2+c^2)/(b^2-c^2)^(1/2)*sinh(x)+a)^(1/2)*a-(21*a^2*b^2-21*a^2*c^2-4*b^4+8*b^2*c^2-4*c^4)*cosh(x)*sinh(x)^2*((-b^2+c^2)/(b^2-c^2)^(1/2)*sinh(x)+a)^(1/2))","B"
762,1,318,287,0.791000," ","int((a+b*cosh(x)+c*sinh(x))^(3/2),x)","\frac{2 a \left(-b^{2}+c^{2}\right) \cosh \left(x \right)}{\sqrt{b^{2}-c^{2}}\, \sqrt{\frac{-\sinh \left(x \right) b^{2}+\sinh \left(x \right) c^{2}+a \sqrt{b^{2}-c^{2}}}{\sqrt{b^{2}-c^{2}}}}}+\frac{\sqrt{\frac{\left(-\sinh \left(x \right) b^{2}+\sinh \left(x \right) c^{2}+a \sqrt{b^{2}-c^{2}}\right) \left(\sinh^{2}\left(x \right)\right)}{\sqrt{b^{2}-c^{2}}}}\, a^{2} \ln \left(\frac{\cosh \left(x \right) \sinh \left(x \right) \left(-b^{2}+c^{2}\right)+\cosh \left(x \right) \sqrt{b^{2}-c^{2}}\, a +\sqrt{\frac{\left(-b^{2}+c^{2}\right) \left(\sinh^{3}\left(x \right)\right)}{\sqrt{b^{2}-c^{2}}}+a \left(\sinh^{2}\left(x \right)\right)}\, \sqrt{b^{2}-c^{2}}\, \sqrt{\frac{\left(-b^{2}+c^{2}\right) \sinh \left(x \right)}{\sqrt{b^{2}-c^{2}}}+a}}{\sqrt{b^{2}-c^{2}}\, \sqrt{\frac{-\sinh \left(x \right) b^{2}+\sinh \left(x \right) c^{2}+a \sqrt{b^{2}-c^{2}}}{\sqrt{b^{2}-c^{2}}}}}\right) \sqrt{b^{2}-c^{2}}}{\left(-\sinh \left(x \right) b^{2}+\sinh \left(x \right) c^{2}+a \sqrt{b^{2}-c^{2}}\right) \sinh \left(x \right)}"," ",0,"2*a/(b^2-c^2)^(1/2)*(-b^2+c^2)/((-sinh(x)*b^2+sinh(x)*c^2+a*(b^2-c^2)^(1/2))/(b^2-c^2)^(1/2))^(1/2)*cosh(x)+((-sinh(x)*b^2+sinh(x)*c^2+a*(b^2-c^2)^(1/2))/(b^2-c^2)^(1/2)*sinh(x)^2)^(1/2)*a^2*ln((cosh(x)*sinh(x)*(-b^2+c^2)+cosh(x)*(b^2-c^2)^(1/2)*a+((-b^2+c^2)/(b^2-c^2)^(1/2)*sinh(x)^3+a*sinh(x)^2)^(1/2)*(b^2-c^2)^(1/2)*((-b^2+c^2)/(b^2-c^2)^(1/2)*sinh(x)+a)^(1/2))/(b^2-c^2)^(1/2)/((-sinh(x)*b^2+sinh(x)*c^2+a*(b^2-c^2)^(1/2))/(b^2-c^2)^(1/2))^(1/2))/(-sinh(x)*b^2+sinh(x)*c^2+a*(b^2-c^2)^(1/2))*(b^2-c^2)^(1/2)/sinh(x)","A"
763,1,314,125,0.800000," ","int((a+b*cosh(x)+c*sinh(x))^(1/2),x)","\frac{\left(-b^{2}+c^{2}\right) \cosh \left(x \right)}{\sqrt{b^{2}-c^{2}}\, \sqrt{\frac{-\sinh \left(x \right) b^{2}+\sinh \left(x \right) c^{2}+a \sqrt{b^{2}-c^{2}}}{\sqrt{b^{2}-c^{2}}}}}+\frac{\sqrt{\frac{\left(-\sinh \left(x \right) b^{2}+\sinh \left(x \right) c^{2}+a \sqrt{b^{2}-c^{2}}\right) \left(\sinh^{2}\left(x \right)\right)}{\sqrt{b^{2}-c^{2}}}}\, a \ln \left(\frac{\cosh \left(x \right) \sinh \left(x \right) \left(-b^{2}+c^{2}\right)+\cosh \left(x \right) \sqrt{b^{2}-c^{2}}\, a +\sqrt{\frac{\left(-b^{2}+c^{2}\right) \left(\sinh^{3}\left(x \right)\right)}{\sqrt{b^{2}-c^{2}}}+a \left(\sinh^{2}\left(x \right)\right)}\, \sqrt{b^{2}-c^{2}}\, \sqrt{\frac{\left(-b^{2}+c^{2}\right) \sinh \left(x \right)}{\sqrt{b^{2}-c^{2}}}+a}}{\sqrt{b^{2}-c^{2}}\, \sqrt{\frac{-\sinh \left(x \right) b^{2}+\sinh \left(x \right) c^{2}+a \sqrt{b^{2}-c^{2}}}{\sqrt{b^{2}-c^{2}}}}}\right) \sqrt{b^{2}-c^{2}}}{\left(-\sinh \left(x \right) b^{2}+\sinh \left(x \right) c^{2}+a \sqrt{b^{2}-c^{2}}\right) \sinh \left(x \right)}"," ",0,"(-b^2+c^2)/(b^2-c^2)^(1/2)/((-sinh(x)*b^2+sinh(x)*c^2+a*(b^2-c^2)^(1/2))/(b^2-c^2)^(1/2))^(1/2)*cosh(x)+((-sinh(x)*b^2+sinh(x)*c^2+a*(b^2-c^2)^(1/2))/(b^2-c^2)^(1/2)*sinh(x)^2)^(1/2)*a*ln((cosh(x)*sinh(x)*(-b^2+c^2)+cosh(x)*(b^2-c^2)^(1/2)*a+((-b^2+c^2)/(b^2-c^2)^(1/2)*sinh(x)^3+a*sinh(x)^2)^(1/2)*(b^2-c^2)^(1/2)*((-b^2+c^2)/(b^2-c^2)^(1/2)*sinh(x)+a)^(1/2))/(b^2-c^2)^(1/2)/((-sinh(x)*b^2+sinh(x)*c^2+a*(b^2-c^2)^(1/2))/(b^2-c^2)^(1/2))^(1/2))/(-sinh(x)*b^2+sinh(x)*c^2+a*(b^2-c^2)^(1/2))*(b^2-c^2)^(1/2)/sinh(x)","B"
764,1,248,125,0.645000," ","int(1/(a+b*cosh(x)+c*sinh(x))^(1/2),x)","\frac{\sqrt{\frac{\left(-\sinh \left(x \right) b^{2}+\sinh \left(x \right) c^{2}+a \sqrt{b^{2}-c^{2}}\right) \left(\sinh^{2}\left(x \right)\right)}{\sqrt{b^{2}-c^{2}}}}\, \ln \left(\frac{\cosh \left(x \right) \sinh \left(x \right) \left(-b^{2}+c^{2}\right)+\cosh \left(x \right) \sqrt{b^{2}-c^{2}}\, a +\sqrt{\frac{\left(-b^{2}+c^{2}\right) \left(\sinh^{3}\left(x \right)\right)}{\sqrt{b^{2}-c^{2}}}+a \left(\sinh^{2}\left(x \right)\right)}\, \sqrt{b^{2}-c^{2}}\, \sqrt{\frac{\left(-b^{2}+c^{2}\right) \sinh \left(x \right)}{\sqrt{b^{2}-c^{2}}}+a}}{\sqrt{b^{2}-c^{2}}\, \sqrt{\frac{-\sinh \left(x \right) b^{2}+\sinh \left(x \right) c^{2}+a \sqrt{b^{2}-c^{2}}}{\sqrt{b^{2}-c^{2}}}}}\right) \sqrt{b^{2}-c^{2}}}{\left(-\sinh \left(x \right) b^{2}+\sinh \left(x \right) c^{2}+a \sqrt{b^{2}-c^{2}}\right) \sinh \left(x \right)}"," ",0,"((-sinh(x)*b^2+sinh(x)*c^2+a*(b^2-c^2)^(1/2))/(b^2-c^2)^(1/2)*sinh(x)^2)^(1/2)*ln((cosh(x)*sinh(x)*(-b^2+c^2)+cosh(x)*(b^2-c^2)^(1/2)*a+((-b^2+c^2)/(b^2-c^2)^(1/2)*sinh(x)^3+a*sinh(x)^2)^(1/2)*(b^2-c^2)^(1/2)*((-b^2+c^2)/(b^2-c^2)^(1/2)*sinh(x)+a)^(1/2))/(b^2-c^2)^(1/2)/((-sinh(x)*b^2+sinh(x)*c^2+a*(b^2-c^2)^(1/2))/(b^2-c^2)^(1/2))^(1/2))/(-sinh(x)*b^2+sinh(x)*c^2+a*(b^2-c^2)^(1/2))*(b^2-c^2)^(1/2)/sinh(x)","A"
765,1,1430,177,1.738000," ","int(1/(a+b*cosh(x)+c*sinh(x))^(3/2),x)","\frac{2 \sqrt{b^{2}-c^{2}}\, \arctanh \left(\frac{\left(b^{2}-c^{2}\right) \cosh \left(x \right)}{\sqrt{\left(a^{2}+b^{2}-c^{2}\right) \left(b^{2}-c^{2}\right)}}\right) \sqrt{-\frac{a^{2} \sinh \left(x \right)}{\sqrt{b^{2}-c^{2}}}+\frac{a^{3}}{b^{2}-c^{2}}}\, \sqrt{\left(a^{2}+b^{2}-c^{2}\right) \left(b -c \right) \left(b +c \right)}\, \sinh \left(x \right)+a \sqrt{\frac{\left(-b^{2}+c^{2}\right) \left(\sinh^{3}\left(x \right)\right)}{\sqrt{b^{2}-c^{2}}}+a \left(\sinh^{2}\left(x \right)\right)}\, \sqrt{\left(a^{2}+b^{2}-c^{2}\right) \left(b^{2}-c^{2}\right)}\, \ln \left(\frac{\cosh \left(x \right) \sinh \left(x \right) \left(2 \sqrt{\left(a^{2}+b^{2}-c^{2}\right) \left(b -c \right) \left(b +c \right)}\, b^{4}-4 \sqrt{\left(a^{2}+b^{2}-c^{2}\right) \left(b -c \right) \left(b +c \right)}\, b^{2} c^{2}+2 \sqrt{\left(a^{2}+b^{2}-c^{2}\right) \left(b -c \right) \left(b +c \right)}\, c^{4}\right)+\cosh \left(x \right) \left(-2 \sqrt{b^{2}-c^{2}}\, \sqrt{\left(a^{2}+b^{2}-c^{2}\right) \left(b -c \right) \left(b +c \right)}\, a \,b^{2}+2 \sqrt{b^{2}-c^{2}}\, \sqrt{\left(a^{2}+b^{2}-c^{2}\right) \left(b -c \right) \left(b +c \right)}\, a \,c^{2}\right)+\sinh \left(x \right) \left(-2 b^{6}+6 b^{4} c^{2}-6 b^{2} c^{4}+2 c^{6}\right)-2 \left(b^{2}-c^{2}\right)^{\frac{3}{2}} \sqrt{-\frac{a^{2} \sinh \left(x \right)}{\sqrt{b^{2}-c^{2}}}+\frac{a^{3}}{b^{2}-c^{2}}}\, \sqrt{\frac{\left(-b^{2}+c^{2}\right) \left(\sinh^{3}\left(x \right)\right)}{\sqrt{b^{2}-c^{2}}}+a \left(\sinh^{2}\left(x \right)\right)}\, b^{2}+2 \left(b^{2}-c^{2}\right)^{\frac{3}{2}} \sqrt{-\frac{a^{2} \sinh \left(x \right)}{\sqrt{b^{2}-c^{2}}}+\frac{a^{3}}{b^{2}-c^{2}}}\, \sqrt{\frac{\left(-b^{2}+c^{2}\right) \left(\sinh^{3}\left(x \right)\right)}{\sqrt{b^{2}-c^{2}}}+a \left(\sinh^{2}\left(x \right)\right)}\, c^{2}-2 \left(b^{2}-c^{2}\right)^{\frac{3}{2}} a^{3}+2 a^{3} b^{2} \sqrt{b^{2}-c^{2}}-2 a^{3} c^{2} \sqrt{b^{2}-c^{2}}+2 \sqrt{b^{2}-c^{2}}\, a \,b^{4}-4 \sqrt{b^{2}-c^{2}}\, a \,b^{2} c^{2}+2 \sqrt{b^{2}-c^{2}}\, a \,c^{4}}{\left(-b^{2} \cosh \left(x \right)+c^{2} \cosh \left(x \right)+\sqrt{\left(a^{2}+b^{2}-c^{2}\right) \left(b -c \right) \left(b +c \right)}\right) \left(b^{2}-c^{2}\right)^{\frac{3}{2}}}\right)-a \sqrt{\frac{\left(-b^{2}+c^{2}\right) \left(\sinh^{3}\left(x \right)\right)}{\sqrt{b^{2}-c^{2}}}+a \left(\sinh^{2}\left(x \right)\right)}\, \sqrt{\left(a^{2}+b^{2}-c^{2}\right) \left(b^{2}-c^{2}\right)}\, \ln \left(\frac{\cosh \left(x \right) \sinh \left(x \right) \left(2 \sqrt{\left(a^{2}+b^{2}-c^{2}\right) \left(b -c \right) \left(b +c \right)}\, b^{4}-4 \sqrt{\left(a^{2}+b^{2}-c^{2}\right) \left(b -c \right) \left(b +c \right)}\, b^{2} c^{2}+2 \sqrt{\left(a^{2}+b^{2}-c^{2}\right) \left(b -c \right) \left(b +c \right)}\, c^{4}\right)+\cosh \left(x \right) \left(-2 \sqrt{b^{2}-c^{2}}\, \sqrt{\left(a^{2}+b^{2}-c^{2}\right) \left(b -c \right) \left(b +c \right)}\, a \,b^{2}+2 \sqrt{b^{2}-c^{2}}\, \sqrt{\left(a^{2}+b^{2}-c^{2}\right) \left(b -c \right) \left(b +c \right)}\, a \,c^{2}\right)+\sinh \left(x \right) \left(2 b^{6}-6 b^{4} c^{2}+6 b^{2} c^{4}-2 c^{6}\right)+2 \left(b^{2}-c^{2}\right)^{\frac{3}{2}} \sqrt{-\frac{a^{2} \sinh \left(x \right)}{\sqrt{b^{2}-c^{2}}}+\frac{a^{3}}{b^{2}-c^{2}}}\, \sqrt{\frac{\left(-b^{2}+c^{2}\right) \left(\sinh^{3}\left(x \right)\right)}{\sqrt{b^{2}-c^{2}}}+a \left(\sinh^{2}\left(x \right)\right)}\, b^{2}-2 \left(b^{2}-c^{2}\right)^{\frac{3}{2}} \sqrt{-\frac{a^{2} \sinh \left(x \right)}{\sqrt{b^{2}-c^{2}}}+\frac{a^{3}}{b^{2}-c^{2}}}\, \sqrt{\frac{\left(-b^{2}+c^{2}\right) \left(\sinh^{3}\left(x \right)\right)}{\sqrt{b^{2}-c^{2}}}+a \left(\sinh^{2}\left(x \right)\right)}\, c^{2}+2 \left(b^{2}-c^{2}\right)^{\frac{3}{2}} a^{3}-2 a^{3} b^{2} \sqrt{b^{2}-c^{2}}+2 a^{3} c^{2} \sqrt{b^{2}-c^{2}}-2 \sqrt{b^{2}-c^{2}}\, a \,b^{4}+4 \sqrt{b^{2}-c^{2}}\, a \,b^{2} c^{2}-2 \sqrt{b^{2}-c^{2}}\, a \,c^{4}}{\left(b^{2} \cosh \left(x \right)-c^{2} \cosh \left(x \right)+\sqrt{\left(a^{2}+b^{2}-c^{2}\right) \left(b -c \right) \left(b +c \right)}\right) \left(b^{2}-c^{2}\right)^{\frac{3}{2}}}\right)}{2 \sqrt{\frac{\left(-b^{2}+c^{2}\right) \sinh \left(x \right)}{\sqrt{b^{2}-c^{2}}}+a}\, \sqrt{\left(a^{2}+b^{2}-c^{2}\right) \left(b^{2}-c^{2}\right)}\, \sqrt{-\frac{a^{2} \sinh \left(x \right)}{\sqrt{b^{2}-c^{2}}}+\frac{a^{3}}{b^{2}-c^{2}}}\, \sqrt{\left(a^{2}+b^{2}-c^{2}\right) \left(b -c \right) \left(b +c \right)}\, \sinh \left(x \right)}"," ",0,"1/2*(2*(b^2-c^2)^(1/2)*arctanh((b^2-c^2)*cosh(x)/((a^2+b^2-c^2)*(b^2-c^2))^(1/2))*(-a^2/(b^2-c^2)^(1/2)*sinh(x)+a^3/(b^2-c^2))^(1/2)*((a^2+b^2-c^2)*(b-c)*(b+c))^(1/2)*sinh(x)+a*((-b^2+c^2)/(b^2-c^2)^(1/2)*sinh(x)^3+a*sinh(x)^2)^(1/2)*((a^2+b^2-c^2)*(b^2-c^2))^(1/2)*ln((cosh(x)*sinh(x)*(2*((a^2+b^2-c^2)*(b-c)*(b+c))^(1/2)*b^4-4*((a^2+b^2-c^2)*(b-c)*(b+c))^(1/2)*b^2*c^2+2*((a^2+b^2-c^2)*(b-c)*(b+c))^(1/2)*c^4)+cosh(x)*(-2*(b^2-c^2)^(1/2)*((a^2+b^2-c^2)*(b-c)*(b+c))^(1/2)*a*b^2+2*(b^2-c^2)^(1/2)*((a^2+b^2-c^2)*(b-c)*(b+c))^(1/2)*a*c^2)+sinh(x)*(-2*b^6+6*b^4*c^2-6*b^2*c^4+2*c^6)-2*(b^2-c^2)^(3/2)*(-a^2/(b^2-c^2)^(1/2)*sinh(x)+a^3/(b^2-c^2))^(1/2)*((-b^2+c^2)/(b^2-c^2)^(1/2)*sinh(x)^3+a*sinh(x)^2)^(1/2)*b^2+2*(b^2-c^2)^(3/2)*(-a^2/(b^2-c^2)^(1/2)*sinh(x)+a^3/(b^2-c^2))^(1/2)*((-b^2+c^2)/(b^2-c^2)^(1/2)*sinh(x)^3+a*sinh(x)^2)^(1/2)*c^2-2*(b^2-c^2)^(3/2)*a^3+2*a^3*b^2*(b^2-c^2)^(1/2)-2*a^3*c^2*(b^2-c^2)^(1/2)+2*(b^2-c^2)^(1/2)*a*b^4-4*(b^2-c^2)^(1/2)*a*b^2*c^2+2*(b^2-c^2)^(1/2)*a*c^4)/(-b^2*cosh(x)+c^2*cosh(x)+((a^2+b^2-c^2)*(b-c)*(b+c))^(1/2))/(b^2-c^2)^(3/2))-a*((-b^2+c^2)/(b^2-c^2)^(1/2)*sinh(x)^3+a*sinh(x)^2)^(1/2)*((a^2+b^2-c^2)*(b^2-c^2))^(1/2)*ln((cosh(x)*sinh(x)*(2*((a^2+b^2-c^2)*(b-c)*(b+c))^(1/2)*b^4-4*((a^2+b^2-c^2)*(b-c)*(b+c))^(1/2)*b^2*c^2+2*((a^2+b^2-c^2)*(b-c)*(b+c))^(1/2)*c^4)+cosh(x)*(-2*(b^2-c^2)^(1/2)*((a^2+b^2-c^2)*(b-c)*(b+c))^(1/2)*a*b^2+2*(b^2-c^2)^(1/2)*((a^2+b^2-c^2)*(b-c)*(b+c))^(1/2)*a*c^2)+sinh(x)*(2*b^6-6*b^4*c^2+6*b^2*c^4-2*c^6)+2*(b^2-c^2)^(3/2)*(-a^2/(b^2-c^2)^(1/2)*sinh(x)+a^3/(b^2-c^2))^(1/2)*((-b^2+c^2)/(b^2-c^2)^(1/2)*sinh(x)^3+a*sinh(x)^2)^(1/2)*b^2-2*(b^2-c^2)^(3/2)*(-a^2/(b^2-c^2)^(1/2)*sinh(x)+a^3/(b^2-c^2))^(1/2)*((-b^2+c^2)/(b^2-c^2)^(1/2)*sinh(x)^3+a*sinh(x)^2)^(1/2)*c^2+2*(b^2-c^2)^(3/2)*a^3-2*a^3*b^2*(b^2-c^2)^(1/2)+2*a^3*c^2*(b^2-c^2)^(1/2)-2*(b^2-c^2)^(1/2)*a*b^4+4*(b^2-c^2)^(1/2)*a*b^2*c^2-2*(b^2-c^2)^(1/2)*a*c^4)/(b^2*cosh(x)-c^2*cosh(x)+((a^2+b^2-c^2)*(b-c)*(b+c))^(1/2))/(b^2-c^2)^(3/2)))/((-b^2+c^2)/(b^2-c^2)^(1/2)*sinh(x)+a)^(1/2)/((a^2+b^2-c^2)*(b^2-c^2))^(1/2)/(-a^2/(b^2-c^2)^(1/2)*sinh(x)+a^3/(b^2-c^2))^(1/2)/((a^2+b^2-c^2)*(b-c)*(b+c))^(1/2)/sinh(x)","B"
766,1,6075,356,2.957000," ","int(1/(a+b*cosh(x)+c*sinh(x))^(5/2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
767,1,57909,441,12.719000," ","int(1/(a+b*cosh(x)+c*sinh(x))^(7/2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
768,1,518,120,1.131000," ","int((b*cosh(x)+c*sinh(x)+(b^2-c^2)^(1/2))^(5/2),x)","\frac{-\frac{\left(b^{2}-c^{2}\right)^{\frac{3}{2}} \left(\cosh^{3}\left(x \right)\right)}{3}-\frac{\left(-2 b^{2}+2 c^{2}\right) \left(-b^{2}+c^{2}\right) \cosh \left(x \right)}{\sqrt{b^{2}-c^{2}}}}{\sqrt{-\frac{\sinh \left(x \right) b^{2}-\sinh \left(x \right) c^{2}-b^{2}+c^{2}}{\sqrt{b^{2}-c^{2}}}}}-\frac{\left(\cosh \left(x \right) \sqrt{\sinh \left(x \right) \sqrt{b^{2}-c^{2}}-\sqrt{b^{2}-c^{2}}}\, \sqrt{-\sqrt{b^{2}-c^{2}}\, \left(\sinh^{3}\left(x \right)\right)+\sqrt{b^{2}-c^{2}}\, \left(\sinh^{2}\left(x \right)\right)}\, \left(b^{2}-c^{2}\right)-\sinh \left(x \right) \left(b^{2}-c^{2}\right)^{\frac{3}{2}} \arctan \left(\frac{\sqrt{\sinh \left(x \right) \sqrt{b^{2}-c^{2}}-\sqrt{b^{2}-c^{2}}}\, \cosh \left(x \right)}{\sqrt{-\sqrt{b^{2}-c^{2}}\, \left(\sinh^{3}\left(x \right)\right)+\sqrt{b^{2}-c^{2}}\, \left(\sinh^{2}\left(x \right)\right)}}\right)+\sqrt{b^{2}-c^{2}}\, \arctan \left(\frac{\sqrt{\sinh \left(x \right) \sqrt{b^{2}-c^{2}}-\sqrt{b^{2}-c^{2}}}\, \cosh \left(x \right)}{\sqrt{-\sqrt{b^{2}-c^{2}}\, \left(\sinh^{3}\left(x \right)\right)+\sqrt{b^{2}-c^{2}}\, \left(\sinh^{2}\left(x \right)\right)}}\right) b^{2}-\sqrt{b^{2}-c^{2}}\, \arctan \left(\frac{\sqrt{\sinh \left(x \right) \sqrt{b^{2}-c^{2}}-\sqrt{b^{2}-c^{2}}}\, \cosh \left(x \right)}{\sqrt{-\sqrt{b^{2}-c^{2}}\, \left(\sinh^{3}\left(x \right)\right)+\sqrt{b^{2}-c^{2}}\, \left(\sinh^{2}\left(x \right)\right)}}\right) c^{2}\right) \sqrt{-\sqrt{b^{2}-c^{2}}\, \left(\sinh \left(x \right)-1\right) \left(\sinh^{2}\left(x \right)\right)}}{2 \sqrt{\sqrt{b^{2}-c^{2}}\, \left(\sinh \left(x \right)-1\right)}\, \left(\sinh \left(x \right)-1\right) \sinh \left(x \right) \sqrt{-\frac{\sinh \left(x \right) b^{2}-\sinh \left(x \right) c^{2}-b^{2}+c^{2}}{\sqrt{b^{2}-c^{2}}}}}"," ",0,"1/(-(sinh(x)*b^2-sinh(x)*c^2-b^2+c^2)/(b^2-c^2)^(1/2))^(1/2)*(-1/3*(b^2-c^2)^(3/2)*cosh(x)^3-(-2*b^2+2*c^2)*(-b^2+c^2)/(b^2-c^2)^(1/2)*cosh(x))-1/2*(cosh(x)*(sinh(x)*(b^2-c^2)^(1/2)-(b^2-c^2)^(1/2))^(1/2)*(-(b^2-c^2)^(1/2)*sinh(x)^3+(b^2-c^2)^(1/2)*sinh(x)^2)^(1/2)*(b^2-c^2)-sinh(x)*(b^2-c^2)^(3/2)*arctan((sinh(x)*(b^2-c^2)^(1/2)-(b^2-c^2)^(1/2))^(1/2)*cosh(x)/(-(b^2-c^2)^(1/2)*sinh(x)^3+(b^2-c^2)^(1/2)*sinh(x)^2)^(1/2))+(b^2-c^2)^(1/2)*arctan((sinh(x)*(b^2-c^2)^(1/2)-(b^2-c^2)^(1/2))^(1/2)*cosh(x)/(-(b^2-c^2)^(1/2)*sinh(x)^3+(b^2-c^2)^(1/2)*sinh(x)^2)^(1/2))*b^2-(b^2-c^2)^(1/2)*arctan((sinh(x)*(b^2-c^2)^(1/2)-(b^2-c^2)^(1/2))^(1/2)*cosh(x)/(-(b^2-c^2)^(1/2)*sinh(x)^3+(b^2-c^2)^(1/2)*sinh(x)^2)^(1/2))*c^2)*(-(b^2-c^2)^(1/2)*(sinh(x)-1)*sinh(x)^2)^(1/2)/((b^2-c^2)^(1/2)*(sinh(x)-1))^(1/2)/(sinh(x)-1)/sinh(x)/(-(sinh(x)*b^2-sinh(x)*c^2-b^2+c^2)/(b^2-c^2)^(1/2))^(1/2)","B"
769,1,190,78,0.814000," ","int((b*cosh(x)+c*sinh(x)+(b^2-c^2)^(1/2))^(3/2),x)","\frac{\left(-2 b^{2}+2 c^{2}\right) \cosh \left(x \right)}{\sqrt{-\frac{\sinh \left(x \right) b^{2}-\sinh \left(x \right) c^{2}-b^{2}+c^{2}}{\sqrt{b^{2}-c^{2}}}}}+\frac{\sqrt{-\sqrt{b^{2}-c^{2}}\, \left(\sinh \left(x \right)-1\right) \left(\sinh^{2}\left(x \right)\right)}\, \arctan \left(\frac{\sqrt{\sqrt{b^{2}-c^{2}}\, \left(\sinh \left(x \right)-1\right)}\, \cosh \left(x \right)}{\sqrt{-\sqrt{b^{2}-c^{2}}\, \left(\sinh \left(x \right)-1\right) \left(\sinh^{2}\left(x \right)\right)}}\right) \left(b^{2}-c^{2}\right)}{\sqrt{\sqrt{b^{2}-c^{2}}\, \left(\sinh \left(x \right)-1\right)}\, \sinh \left(x \right) \sqrt{-\frac{\sinh \left(x \right) b^{2}-\sinh \left(x \right) c^{2}-b^{2}+c^{2}}{\sqrt{b^{2}-c^{2}}}}}"," ",0,"(-2*b^2+2*c^2)/(-(sinh(x)*b^2-sinh(x)*c^2-b^2+c^2)/(b^2-c^2)^(1/2))^(1/2)*cosh(x)+(-(b^2-c^2)^(1/2)*(sinh(x)-1)*sinh(x)^2)^(1/2)*arctan(((b^2-c^2)^(1/2)*(sinh(x)-1))^(1/2)*cosh(x)/(-(b^2-c^2)^(1/2)*(sinh(x)-1)*sinh(x)^2)^(1/2))*(b^2-c^2)/((b^2-c^2)^(1/2)*(sinh(x)-1))^(1/2)/sinh(x)/(-(sinh(x)*b^2-sinh(x)*c^2-b^2+c^2)/(b^2-c^2)^(1/2))^(1/2)","B"
770,1,201,33,0.809000," ","int((b*cosh(x)+c*sinh(x)+(b^2-c^2)^(1/2))^(1/2),x)","\frac{\left(-b^{2}+c^{2}\right) \cosh \left(x \right)}{\sqrt{b^{2}-c^{2}}\, \sqrt{-\frac{\sinh \left(x \right) b^{2}-\sinh \left(x \right) c^{2}-b^{2}+c^{2}}{\sqrt{b^{2}-c^{2}}}}}+\frac{\sqrt{-\sqrt{b^{2}-c^{2}}\, \left(\sinh \left(x \right)-1\right) \left(\sinh^{2}\left(x \right)\right)}\, \sqrt{b^{2}-c^{2}}\, \arctan \left(\frac{\sqrt{\sqrt{b^{2}-c^{2}}\, \left(\sinh \left(x \right)-1\right)}\, \cosh \left(x \right)}{\sqrt{-\sqrt{b^{2}-c^{2}}\, \left(\sinh \left(x \right)-1\right) \left(\sinh^{2}\left(x \right)\right)}}\right)}{\sqrt{\sqrt{b^{2}-c^{2}}\, \left(\sinh \left(x \right)-1\right)}\, \sinh \left(x \right) \sqrt{-\frac{\sinh \left(x \right) b^{2}-\sinh \left(x \right) c^{2}-b^{2}+c^{2}}{\sqrt{b^{2}-c^{2}}}}}"," ",0,"(-b^2+c^2)/(b^2-c^2)^(1/2)/(-(sinh(x)*b^2-sinh(x)*c^2-b^2+c^2)/(b^2-c^2)^(1/2))^(1/2)*cosh(x)+(-(b^2-c^2)^(1/2)*(sinh(x)-1)*sinh(x)^2)^(1/2)*(b^2-c^2)^(1/2)/((b^2-c^2)^(1/2)*(sinh(x)-1))^(1/2)*arctan(((b^2-c^2)^(1/2)*(sinh(x)-1))^(1/2)*cosh(x)/(-(b^2-c^2)^(1/2)*(sinh(x)-1)*sinh(x)^2)^(1/2))/sinh(x)/(-(sinh(x)*b^2-sinh(x)*c^2-b^2+c^2)/(b^2-c^2)^(1/2))^(1/2)","B"
771,1,129,82,0.627000," ","int(1/(b*cosh(x)+c*sinh(x)+(b^2-c^2)^(1/2))^(1/2),x)","\frac{\sqrt{-\sqrt{b^{2}-c^{2}}\, \left(\sinh \left(x \right)-1\right) \left(\sinh^{2}\left(x \right)\right)}\, \arctan \left(\frac{\sqrt{\sqrt{b^{2}-c^{2}}\, \left(\sinh \left(x \right)-1\right)}\, \cosh \left(x \right)}{\sqrt{-\sqrt{b^{2}-c^{2}}\, \left(\sinh \left(x \right)-1\right) \left(\sinh^{2}\left(x \right)\right)}}\right)}{\sqrt{\sqrt{b^{2}-c^{2}}\, \left(\sinh \left(x \right)-1\right)}\, \sinh \left(x \right) \sqrt{-\frac{\sinh \left(x \right) b^{2}-\sinh \left(x \right) c^{2}-b^{2}+c^{2}}{\sqrt{b^{2}-c^{2}}}}}"," ",0,"(-(b^2-c^2)^(1/2)*(sinh(x)-1)*sinh(x)^2)^(1/2)/((b^2-c^2)^(1/2)*(sinh(x)-1))^(1/2)*arctan(((b^2-c^2)^(1/2)*(sinh(x)-1))^(1/2)*cosh(x)/(-(b^2-c^2)^(1/2)*(sinh(x)-1)*sinh(x)^2)^(1/2))/sinh(x)/(-(sinh(x)*b^2-sinh(x)*c^2-b^2+c^2)/(b^2-c^2)^(1/2))^(1/2)","A"
772,1,417,128,1.575000," ","int(1/(b*cosh(x)+c*sinh(x)+(b^2-c^2)^(1/2))^(3/2),x)","\frac{\sqrt{2}\, \arctanh \left(\frac{\cosh \left(x \right) \sqrt{2}}{2}\right)}{2 \sqrt{b^{2}-c^{2}}\, \sqrt{-\frac{\sinh \left(x \right) b^{2}-\sinh \left(x \right) c^{2}-b^{2}+c^{2}}{\sqrt{b^{2}-c^{2}}}}}+\frac{\sqrt{-\sqrt{b^{2}-c^{2}}\, \left(\sinh \left(x \right)-1\right) \left(\sinh^{2}\left(x \right)\right)}\, \sqrt{2}\, \sqrt{b^{2}-c^{2}}\, \left(\ln \left(-\frac{2 \left(\cosh \left(x \right) \sqrt{b^{2}-c^{2}}\, \sqrt{2}\, \sinh \left(x \right)-\sinh \left(x \right) \sqrt{b^{2}-c^{2}}-\cosh \left(x \right) \sqrt{b^{2}-c^{2}}\, \sqrt{2}+\sqrt{b^{2}-c^{2}}-\sqrt{-\sqrt{b^{2}-c^{2}}\, \left(\sinh \left(x \right)-1\right)}\, \sqrt{-\sqrt{b^{2}-c^{2}}\, \left(\sinh \left(x \right)-1\right) \left(\sinh^{2}\left(x \right)\right)}\right)}{\cosh \left(x \right)-\sqrt{2}}\right)-\ln \left(\frac{2 \cosh \left(x \right) \sqrt{b^{2}-c^{2}}\, \sqrt{2}\, \sinh \left(x \right)+2 \sinh \left(x \right) \sqrt{b^{2}-c^{2}}-2 \cosh \left(x \right) \sqrt{b^{2}-c^{2}}\, \sqrt{2}-2 \sqrt{b^{2}-c^{2}}+2 \sqrt{-\sqrt{b^{2}-c^{2}}\, \left(\sinh \left(x \right)-1\right)}\, \sqrt{-\sqrt{b^{2}-c^{2}}\, \left(\sinh \left(x \right)-1\right) \left(\sinh^{2}\left(x \right)\right)}}{\cosh \left(x \right)+\sqrt{2}}\right)\right)}{4 \left(b -c \right) \left(b +c \right) \sqrt{-\sqrt{b^{2}-c^{2}}\, \left(\sinh \left(x \right)-1\right)}\, \sinh \left(x \right) \sqrt{-\frac{\sinh \left(x \right) b^{2}-\sinh \left(x \right) c^{2}-b^{2}+c^{2}}{\sqrt{b^{2}-c^{2}}}}}"," ",0,"1/2/(b^2-c^2)^(1/2)/(-(sinh(x)*b^2-sinh(x)*c^2-b^2+c^2)/(b^2-c^2)^(1/2))^(1/2)*2^(1/2)*arctanh(1/2*cosh(x)*2^(1/2))+1/4*(-(b^2-c^2)^(1/2)*(sinh(x)-1)*sinh(x)^2)^(1/2)*2^(1/2)*(b^2-c^2)^(1/2)*(ln(-2*(cosh(x)*(b^2-c^2)^(1/2)*2^(1/2)*sinh(x)-sinh(x)*(b^2-c^2)^(1/2)-cosh(x)*(b^2-c^2)^(1/2)*2^(1/2)+(b^2-c^2)^(1/2)-(-(b^2-c^2)^(1/2)*(sinh(x)-1))^(1/2)*(-(b^2-c^2)^(1/2)*(sinh(x)-1)*sinh(x)^2)^(1/2))/(cosh(x)-2^(1/2)))-ln(2*(cosh(x)*(b^2-c^2)^(1/2)*2^(1/2)*sinh(x)+sinh(x)*(b^2-c^2)^(1/2)-cosh(x)*(b^2-c^2)^(1/2)*2^(1/2)-(b^2-c^2)^(1/2)+(-(b^2-c^2)^(1/2)*(sinh(x)-1))^(1/2)*(-(b^2-c^2)^(1/2)*(sinh(x)-1)*sinh(x)^2)^(1/2))/(cosh(x)+2^(1/2))))/(b-c)/(b+c)/(-(b^2-c^2)^(1/2)*(sinh(x)-1))^(1/2)/sinh(x)/(-(sinh(x)*b^2-sinh(x)*c^2-b^2+c^2)/(b^2-c^2)^(1/2))^(1/2)","B"
773,1,954,172,1.898000," ","int(1/(b*cosh(x)+c*sinh(x)+(b^2-c^2)^(1/2))^(5/2),x)","\frac{2 \sqrt{2}\, \arctanh \left(\frac{\cosh \left(x \right) \sqrt{2}}{2}\right) \sqrt{-\sinh \left(x \right) \sqrt{b^{2}-c^{2}}+\sqrt{b^{2}-c^{2}}}\, \left(\sinh^{2}\left(x \right)\right)+\sqrt{2}\, \ln \left(\frac{2 \cosh \left(x \right) \sqrt{b^{2}-c^{2}}\, \sqrt{2}\, \sinh \left(x \right)-2 \cosh \left(x \right) \sqrt{b^{2}-c^{2}}\, \sqrt{2}-2 \sinh \left(x \right) \sqrt{b^{2}-c^{2}}-2 \sqrt{-\sinh \left(x \right) \sqrt{b^{2}-c^{2}}+\sqrt{b^{2}-c^{2}}}\, \sqrt{-\sqrt{b^{2}-c^{2}}\, \left(\sinh^{3}\left(x \right)\right)+\sqrt{b^{2}-c^{2}}\, \left(\sinh^{2}\left(x \right)\right)}+2 \sqrt{b^{2}-c^{2}}}{-\cosh \left(x \right)+\sqrt{2}}\right) \sqrt{-\sqrt{b^{2}-c^{2}}\, \left(\sinh^{3}\left(x \right)\right)+\sqrt{b^{2}-c^{2}}\, \left(\sinh^{2}\left(x \right)\right)}\, \sinh \left(x \right)-\sqrt{2}\, \ln \left(\frac{2 \cosh \left(x \right) \sqrt{b^{2}-c^{2}}\, \sqrt{2}\, \sinh \left(x \right)-2 \cosh \left(x \right) \sqrt{b^{2}-c^{2}}\, \sqrt{2}+2 \sinh \left(x \right) \sqrt{b^{2}-c^{2}}+2 \sqrt{-\sinh \left(x \right) \sqrt{b^{2}-c^{2}}+\sqrt{b^{2}-c^{2}}}\, \sqrt{-\sqrt{b^{2}-c^{2}}\, \left(\sinh^{3}\left(x \right)\right)+\sqrt{b^{2}-c^{2}}\, \left(\sinh^{2}\left(x \right)\right)}-2 \sqrt{b^{2}-c^{2}}}{\cosh \left(x \right)+\sqrt{2}}\right) \sqrt{-\sqrt{b^{2}-c^{2}}\, \left(\sinh^{3}\left(x \right)\right)+\sqrt{b^{2}-c^{2}}\, \left(\sinh^{2}\left(x \right)\right)}\, \sinh \left(x \right)-2 \sqrt{2}\, \arctanh \left(\frac{\cosh \left(x \right) \sqrt{2}}{2}\right) \sqrt{-\sinh \left(x \right) \sqrt{b^{2}-c^{2}}+\sqrt{b^{2}-c^{2}}}\, \sinh \left(x \right)-\sqrt{2}\, \ln \left(\frac{2 \cosh \left(x \right) \sqrt{b^{2}-c^{2}}\, \sqrt{2}\, \sinh \left(x \right)-2 \cosh \left(x \right) \sqrt{b^{2}-c^{2}}\, \sqrt{2}-2 \sinh \left(x \right) \sqrt{b^{2}-c^{2}}-2 \sqrt{-\sinh \left(x \right) \sqrt{b^{2}-c^{2}}+\sqrt{b^{2}-c^{2}}}\, \sqrt{-\sqrt{b^{2}-c^{2}}\, \left(\sinh^{3}\left(x \right)\right)+\sqrt{b^{2}-c^{2}}\, \left(\sinh^{2}\left(x \right)\right)}+2 \sqrt{b^{2}-c^{2}}}{-\cosh \left(x \right)+\sqrt{2}}\right) \sqrt{-\sqrt{b^{2}-c^{2}}\, \left(\sinh^{3}\left(x \right)\right)+\sqrt{b^{2}-c^{2}}\, \left(\sinh^{2}\left(x \right)\right)}+\sqrt{2}\, \ln \left(\frac{2 \cosh \left(x \right) \sqrt{b^{2}-c^{2}}\, \sqrt{2}\, \sinh \left(x \right)-2 \cosh \left(x \right) \sqrt{b^{2}-c^{2}}\, \sqrt{2}+2 \sinh \left(x \right) \sqrt{b^{2}-c^{2}}+2 \sqrt{-\sinh \left(x \right) \sqrt{b^{2}-c^{2}}+\sqrt{b^{2}-c^{2}}}\, \sqrt{-\sqrt{b^{2}-c^{2}}\, \left(\sinh^{3}\left(x \right)\right)+\sqrt{b^{2}-c^{2}}\, \left(\sinh^{2}\left(x \right)\right)}-2 \sqrt{b^{2}-c^{2}}}{\cosh \left(x \right)+\sqrt{2}}\right) \sqrt{-\sqrt{b^{2}-c^{2}}\, \left(\sinh^{3}\left(x \right)\right)+\sqrt{b^{2}-c^{2}}\, \left(\sinh^{2}\left(x \right)\right)}-4 \sqrt{-\sinh \left(x \right) \sqrt{b^{2}-c^{2}}+\sqrt{b^{2}-c^{2}}}\, \cosh \left(x \right) \sinh \left(x \right)}{8 \left(\sinh \left(x \right)-1\right) \sinh \left(x \right) \sqrt{\frac{\left(-b^{2}+c^{2}\right) \sinh \left(x \right)}{\sqrt{b^{2}-c^{2}}}+\sqrt{b^{2}-c^{2}}}\, \sqrt{-\sinh \left(x \right) \sqrt{b^{2}-c^{2}}+\sqrt{b^{2}-c^{2}}}\, \left(b^{2}-c^{2}\right)}"," ",0,"1/8/(sinh(x)-1)/sinh(x)/((-b^2+c^2)/(b^2-c^2)^(1/2)*sinh(x)+(b^2-c^2)^(1/2))^(1/2)/(-sinh(x)*(b^2-c^2)^(1/2)+(b^2-c^2)^(1/2))^(1/2)/(b^2-c^2)*(2*2^(1/2)*arctanh(1/2*cosh(x)*2^(1/2))*(-sinh(x)*(b^2-c^2)^(1/2)+(b^2-c^2)^(1/2))^(1/2)*sinh(x)^2+2^(1/2)*ln(2/(-cosh(x)+2^(1/2))*(cosh(x)*(b^2-c^2)^(1/2)*2^(1/2)*sinh(x)-cosh(x)*(b^2-c^2)^(1/2)*2^(1/2)-sinh(x)*(b^2-c^2)^(1/2)-(-sinh(x)*(b^2-c^2)^(1/2)+(b^2-c^2)^(1/2))^(1/2)*(-(b^2-c^2)^(1/2)*sinh(x)^3+(b^2-c^2)^(1/2)*sinh(x)^2)^(1/2)+(b^2-c^2)^(1/2)))*(-(b^2-c^2)^(1/2)*sinh(x)^3+(b^2-c^2)^(1/2)*sinh(x)^2)^(1/2)*sinh(x)-2^(1/2)*ln(2/(cosh(x)+2^(1/2))*(cosh(x)*(b^2-c^2)^(1/2)*2^(1/2)*sinh(x)-cosh(x)*(b^2-c^2)^(1/2)*2^(1/2)+sinh(x)*(b^2-c^2)^(1/2)+(-sinh(x)*(b^2-c^2)^(1/2)+(b^2-c^2)^(1/2))^(1/2)*(-(b^2-c^2)^(1/2)*sinh(x)^3+(b^2-c^2)^(1/2)*sinh(x)^2)^(1/2)-(b^2-c^2)^(1/2)))*(-(b^2-c^2)^(1/2)*sinh(x)^3+(b^2-c^2)^(1/2)*sinh(x)^2)^(1/2)*sinh(x)-2*2^(1/2)*arctanh(1/2*cosh(x)*2^(1/2))*(-sinh(x)*(b^2-c^2)^(1/2)+(b^2-c^2)^(1/2))^(1/2)*sinh(x)-2^(1/2)*ln(2/(-cosh(x)+2^(1/2))*(cosh(x)*(b^2-c^2)^(1/2)*2^(1/2)*sinh(x)-cosh(x)*(b^2-c^2)^(1/2)*2^(1/2)-sinh(x)*(b^2-c^2)^(1/2)-(-sinh(x)*(b^2-c^2)^(1/2)+(b^2-c^2)^(1/2))^(1/2)*(-(b^2-c^2)^(1/2)*sinh(x)^3+(b^2-c^2)^(1/2)*sinh(x)^2)^(1/2)+(b^2-c^2)^(1/2)))*(-(b^2-c^2)^(1/2)*sinh(x)^3+(b^2-c^2)^(1/2)*sinh(x)^2)^(1/2)+2^(1/2)*ln(2/(cosh(x)+2^(1/2))*(cosh(x)*(b^2-c^2)^(1/2)*2^(1/2)*sinh(x)-cosh(x)*(b^2-c^2)^(1/2)*2^(1/2)+sinh(x)*(b^2-c^2)^(1/2)+(-sinh(x)*(b^2-c^2)^(1/2)+(b^2-c^2)^(1/2))^(1/2)*(-(b^2-c^2)^(1/2)*sinh(x)^3+(b^2-c^2)^(1/2)*sinh(x)^2)^(1/2)-(b^2-c^2)^(1/2)))*(-(b^2-c^2)^(1/2)*sinh(x)^3+(b^2-c^2)^(1/2)*sinh(x)^2)^(1/2)-4*(-sinh(x)*(b^2-c^2)^(1/2)+(b^2-c^2)^(1/2))^(1/2)*cosh(x)*sinh(x))","B"
774,1,288,126,1.089000," ","int((b*cosh(x)+c*sinh(x)-(b^2-c^2)^(1/2))^(5/2),x)","\frac{-\frac{\left(b^{2}-c^{2}\right)^{\frac{3}{2}} \left(\cosh^{3}\left(x \right)\right)}{3}-\left(2 b^{2}-2 c^{2}\right) \sqrt{b^{2}-c^{2}}\, \cosh \left(x \right)}{\sqrt{-\frac{\sinh \left(x \right) b^{2}-\sinh \left(x \right) c^{2}+b^{2}-c^{2}}{\sqrt{b^{2}-c^{2}}}}}+\frac{\sqrt{-\sqrt{b^{2}-c^{2}}\, \left(\sinh \left(x \right)+1\right) \left(\sinh^{2}\left(x \right)\right)}\, \left(\frac{\left(b^{2}-c^{2}\right)^{2} \cosh \left(x \right) \sqrt{-\sqrt{b^{2}-c^{2}}\, \left(\sinh \left(x \right)+1\right) \left(\sinh^{2}\left(x \right)\right)}}{2 \sinh \left(x \right) b^{2}-2 \sinh \left(x \right) c^{2}+2 b^{2}-2 c^{2}}-\frac{\left(b^{2}-c^{2}\right)^{\frac{3}{2}} \arctan \left(\frac{\sqrt{\sqrt{b^{2}-c^{2}}\, \left(\sinh \left(x \right)+1\right)}\, \cosh \left(x \right)}{\sqrt{-\sqrt{b^{2}-c^{2}}\, \left(\sinh \left(x \right)+1\right) \left(\sinh^{2}\left(x \right)\right)}}\right)}{2 \sqrt{\sqrt{b^{2}-c^{2}}\, \left(\sinh \left(x \right)+1\right)}}\right)}{\sinh \left(x \right) \sqrt{-\frac{\sinh \left(x \right) b^{2}-\sinh \left(x \right) c^{2}+b^{2}-c^{2}}{\sqrt{b^{2}-c^{2}}}}}"," ",0,"1/(-(sinh(x)*b^2-sinh(x)*c^2+b^2-c^2)/(b^2-c^2)^(1/2))^(1/2)*(-1/3*(b^2-c^2)^(3/2)*cosh(x)^3-(2*b^2-2*c^2)*(b^2-c^2)^(1/2)*cosh(x))+(-(b^2-c^2)^(1/2)*(sinh(x)+1)*sinh(x)^2)^(1/2)*(1/2*(b^2-c^2)^2*cosh(x)/(sinh(x)*b^2-sinh(x)*c^2+b^2-c^2)*(-(b^2-c^2)^(1/2)*(sinh(x)+1)*sinh(x)^2)^(1/2)-1/2*(b^2-c^2)^(3/2)/((b^2-c^2)^(1/2)*(sinh(x)+1))^(1/2)*arctan(((b^2-c^2)^(1/2)*(sinh(x)+1))^(1/2)*cosh(x)/(-(b^2-c^2)^(1/2)*(sinh(x)+1)*sinh(x)^2)^(1/2)))/sinh(x)/(-(sinh(x)*b^2-sinh(x)*c^2+b^2-c^2)/(b^2-c^2)^(1/2))^(1/2)","B"
775,1,190,82,0.814000," ","int((b*cosh(x)+c*sinh(x)-(b^2-c^2)^(1/2))^(3/2),x)","\frac{\left(2 b^{2}-2 c^{2}\right) \cosh \left(x \right)}{\sqrt{-\frac{\sinh \left(x \right) b^{2}-\sinh \left(x \right) c^{2}+b^{2}-c^{2}}{\sqrt{b^{2}-c^{2}}}}}+\frac{\sqrt{-\sqrt{b^{2}-c^{2}}\, \left(\sinh \left(x \right)+1\right) \left(\sinh^{2}\left(x \right)\right)}\, \arctan \left(\frac{\sqrt{\sqrt{b^{2}-c^{2}}\, \left(\sinh \left(x \right)+1\right)}\, \cosh \left(x \right)}{\sqrt{-\sqrt{b^{2}-c^{2}}\, \left(\sinh \left(x \right)+1\right) \left(\sinh^{2}\left(x \right)\right)}}\right) \left(b^{2}-c^{2}\right)}{\sqrt{\sqrt{b^{2}-c^{2}}\, \left(\sinh \left(x \right)+1\right)}\, \sinh \left(x \right) \sqrt{-\frac{\sinh \left(x \right) b^{2}-\sinh \left(x \right) c^{2}+b^{2}-c^{2}}{\sqrt{b^{2}-c^{2}}}}}"," ",0,"(2*b^2-2*c^2)/(-(sinh(x)*b^2-sinh(x)*c^2+b^2-c^2)/(b^2-c^2)^(1/2))^(1/2)*cosh(x)+(-(b^2-c^2)^(1/2)*(sinh(x)+1)*sinh(x)^2)^(1/2)*arctan(((b^2-c^2)^(1/2)*(sinh(x)+1))^(1/2)*cosh(x)/(-(b^2-c^2)^(1/2)*(sinh(x)+1)*sinh(x)^2)^(1/2))*(b^2-c^2)/((b^2-c^2)^(1/2)*(sinh(x)+1))^(1/2)/sinh(x)/(-(sinh(x)*b^2-sinh(x)*c^2+b^2-c^2)/(b^2-c^2)^(1/2))^(1/2)","B"
776,1,202,35,0.891000," ","int((b*cosh(x)+c*sinh(x)-(b^2-c^2)^(1/2))^(1/2),x)","\frac{\left(-b^{2}+c^{2}\right) \cosh \left(x \right)}{\sqrt{b^{2}-c^{2}}\, \sqrt{-\frac{\sinh \left(x \right) b^{2}-\sinh \left(x \right) c^{2}+b^{2}-c^{2}}{\sqrt{b^{2}-c^{2}}}}}-\frac{\sqrt{-\sqrt{b^{2}-c^{2}}\, \left(\sinh \left(x \right)+1\right) \left(\sinh^{2}\left(x \right)\right)}\, \arctan \left(\frac{\sqrt{\sqrt{b^{2}-c^{2}}\, \left(\sinh \left(x \right)+1\right)}\, \cosh \left(x \right)}{\sqrt{-\sqrt{b^{2}-c^{2}}\, \left(\sinh \left(x \right)+1\right) \left(\sinh^{2}\left(x \right)\right)}}\right) \sqrt{b^{2}-c^{2}}}{\sqrt{\sqrt{b^{2}-c^{2}}\, \left(\sinh \left(x \right)+1\right)}\, \sinh \left(x \right) \sqrt{-\frac{\sinh \left(x \right) b^{2}-\sinh \left(x \right) c^{2}+b^{2}-c^{2}}{\sqrt{b^{2}-c^{2}}}}}"," ",0,"(-b^2+c^2)/(b^2-c^2)^(1/2)/(-(sinh(x)*b^2-sinh(x)*c^2+b^2-c^2)/(b^2-c^2)^(1/2))^(1/2)*cosh(x)-(-(b^2-c^2)^(1/2)*(sinh(x)+1)*sinh(x)^2)^(1/2)*arctan(((b^2-c^2)^(1/2)*(sinh(x)+1))^(1/2)*cosh(x)/(-(b^2-c^2)^(1/2)*(sinh(x)+1)*sinh(x)^2)^(1/2))*(b^2-c^2)^(1/2)/((b^2-c^2)^(1/2)*(sinh(x)+1))^(1/2)/sinh(x)/(-(sinh(x)*b^2-sinh(x)*c^2+b^2-c^2)/(b^2-c^2)^(1/2))^(1/2)","B"
777,1,129,85,0.583000," ","int(1/(b*cosh(x)+c*sinh(x)-(b^2-c^2)^(1/2))^(1/2),x)","\frac{\sqrt{-\sqrt{b^{2}-c^{2}}\, \left(\sinh \left(x \right)+1\right) \left(\sinh^{2}\left(x \right)\right)}\, \arctan \left(\frac{\sqrt{\sqrt{b^{2}-c^{2}}\, \left(\sinh \left(x \right)+1\right)}\, \cosh \left(x \right)}{\sqrt{-\sqrt{b^{2}-c^{2}}\, \left(\sinh \left(x \right)+1\right) \left(\sinh^{2}\left(x \right)\right)}}\right)}{\sqrt{\sqrt{b^{2}-c^{2}}\, \left(\sinh \left(x \right)+1\right)}\, \sinh \left(x \right) \sqrt{-\frac{\sinh \left(x \right) b^{2}-\sinh \left(x \right) c^{2}+b^{2}-c^{2}}{\sqrt{b^{2}-c^{2}}}}}"," ",0,"(-(b^2-c^2)^(1/2)*(sinh(x)+1)*sinh(x)^2)^(1/2)/((b^2-c^2)^(1/2)*(sinh(x)+1))^(1/2)*arctan(((b^2-c^2)^(1/2)*(sinh(x)+1))^(1/2)*cosh(x)/(-(b^2-c^2)^(1/2)*(sinh(x)+1)*sinh(x)^2)^(1/2))/sinh(x)/(-(sinh(x)*b^2-sinh(x)*c^2+b^2-c^2)/(b^2-c^2)^(1/2))^(1/2)","A"
778,1,415,134,1.482000," ","int(1/(b*cosh(x)+c*sinh(x)-(b^2-c^2)^(1/2))^(3/2),x)","\frac{\sqrt{2}\, \arctanh \left(\frac{\cosh \left(x \right) \sqrt{2}}{2}\right)}{2 \sqrt{b^{2}-c^{2}}\, \sqrt{-\frac{\sinh \left(x \right) b^{2}-\sinh \left(x \right) c^{2}+b^{2}-c^{2}}{\sqrt{b^{2}-c^{2}}}}}-\frac{\sqrt{-\sqrt{b^{2}-c^{2}}\, \left(\sinh \left(x \right)+1\right) \left(\sinh^{2}\left(x \right)\right)}\, \sqrt{2}\, \sqrt{b^{2}-c^{2}}\, \left(\ln \left(-\frac{2 \left(\cosh \left(x \right) \sqrt{b^{2}-c^{2}}\, \sqrt{2}\, \sinh \left(x \right)-\sinh \left(x \right) \sqrt{b^{2}-c^{2}}+\cosh \left(x \right) \sqrt{b^{2}-c^{2}}\, \sqrt{2}-\sqrt{b^{2}-c^{2}}-\sqrt{-\sqrt{b^{2}-c^{2}}\, \left(\sinh \left(x \right)+1\right)}\, \sqrt{-\sqrt{b^{2}-c^{2}}\, \left(\sinh \left(x \right)+1\right) \left(\sinh^{2}\left(x \right)\right)}\right)}{\cosh \left(x \right)-\sqrt{2}}\right)-\ln \left(\frac{2 \cosh \left(x \right) \sqrt{b^{2}-c^{2}}\, \sqrt{2}\, \sinh \left(x \right)+2 \sinh \left(x \right) \sqrt{b^{2}-c^{2}}+2 \cosh \left(x \right) \sqrt{b^{2}-c^{2}}\, \sqrt{2}+2 \sqrt{b^{2}-c^{2}}+2 \sqrt{-\sqrt{b^{2}-c^{2}}\, \left(\sinh \left(x \right)+1\right)}\, \sqrt{-\sqrt{b^{2}-c^{2}}\, \left(\sinh \left(x \right)+1\right) \left(\sinh^{2}\left(x \right)\right)}}{\cosh \left(x \right)+\sqrt{2}}\right)\right)}{4 \left(b -c \right) \left(b +c \right) \sqrt{-\sqrt{b^{2}-c^{2}}\, \left(\sinh \left(x \right)+1\right)}\, \sinh \left(x \right) \sqrt{-\frac{\sinh \left(x \right) b^{2}-\sinh \left(x \right) c^{2}+b^{2}-c^{2}}{\sqrt{b^{2}-c^{2}}}}}"," ",0,"1/2/(b^2-c^2)^(1/2)/(-(sinh(x)*b^2-sinh(x)*c^2+b^2-c^2)/(b^2-c^2)^(1/2))^(1/2)*2^(1/2)*arctanh(1/2*cosh(x)*2^(1/2))-1/4*(-(b^2-c^2)^(1/2)*(sinh(x)+1)*sinh(x)^2)^(1/2)*2^(1/2)*(b^2-c^2)^(1/2)*(ln(-2*(cosh(x)*(b^2-c^2)^(1/2)*2^(1/2)*sinh(x)-sinh(x)*(b^2-c^2)^(1/2)+cosh(x)*(b^2-c^2)^(1/2)*2^(1/2)-(b^2-c^2)^(1/2)-(-(b^2-c^2)^(1/2)*(sinh(x)+1))^(1/2)*(-(b^2-c^2)^(1/2)*(sinh(x)+1)*sinh(x)^2)^(1/2))/(cosh(x)-2^(1/2)))-ln(2*(cosh(x)*(b^2-c^2)^(1/2)*2^(1/2)*sinh(x)+sinh(x)*(b^2-c^2)^(1/2)+cosh(x)*(b^2-c^2)^(1/2)*2^(1/2)+(b^2-c^2)^(1/2)+(-(b^2-c^2)^(1/2)*(sinh(x)+1))^(1/2)*(-(b^2-c^2)^(1/2)*(sinh(x)+1)*sinh(x)^2)^(1/2))/(cosh(x)+2^(1/2))))/(b-c)/(b+c)/(-(b^2-c^2)^(1/2)*(sinh(x)+1))^(1/2)/sinh(x)/(-(sinh(x)*b^2-sinh(x)*c^2+b^2-c^2)/(b^2-c^2)^(1/2))^(1/2)","B"
779,1,984,180,1.921000," ","int(1/(b*cosh(x)+c*sinh(x)-(b^2-c^2)^(1/2))^(5/2),x)","-\frac{2 \sqrt{2}\, \arctanh \left(\frac{\cosh \left(x \right) \sqrt{2}}{2}\right) \sqrt{-\sinh \left(x \right) \sqrt{b^{2}-c^{2}}-\sqrt{b^{2}-c^{2}}}\, \left(\sinh^{2}\left(x \right)\right)+\sqrt{2}\, \sqrt{-\sqrt{b^{2}-c^{2}}\, \left(\sinh^{3}\left(x \right)\right)-\sqrt{b^{2}-c^{2}}\, \left(\sinh^{2}\left(x \right)\right)}\, \ln \left(\frac{2 \cosh \left(x \right) \sqrt{b^{2}-c^{2}}\, \sqrt{2}\, \sinh \left(x \right)+2 \cosh \left(x \right) \sqrt{b^{2}-c^{2}}\, \sqrt{2}+2 \sinh \left(x \right) \sqrt{b^{2}-c^{2}}+2 \sqrt{-\sinh \left(x \right) \sqrt{b^{2}-c^{2}}-\sqrt{b^{2}-c^{2}}}\, \sqrt{-\sqrt{b^{2}-c^{2}}\, \left(\sinh^{3}\left(x \right)\right)-\sqrt{b^{2}-c^{2}}\, \left(\sinh^{2}\left(x \right)\right)}+2 \sqrt{b^{2}-c^{2}}}{\cosh \left(x \right)+\sqrt{2}}\right) \sinh \left(x \right)-\sqrt{2}\, \sqrt{-\sqrt{b^{2}-c^{2}}\, \left(\sinh^{3}\left(x \right)\right)-\sqrt{b^{2}-c^{2}}\, \left(\sinh^{2}\left(x \right)\right)}\, \ln \left(\frac{2 \cosh \left(x \right) \sqrt{b^{2}-c^{2}}\, \sqrt{2}\, \sinh \left(x \right)+2 \cosh \left(x \right) \sqrt{b^{2}-c^{2}}\, \sqrt{2}-2 \sinh \left(x \right) \sqrt{b^{2}-c^{2}}-2 \sqrt{-\sinh \left(x \right) \sqrt{b^{2}-c^{2}}-\sqrt{b^{2}-c^{2}}}\, \sqrt{-\sqrt{b^{2}-c^{2}}\, \left(\sinh^{3}\left(x \right)\right)-\sqrt{b^{2}-c^{2}}\, \left(\sinh^{2}\left(x \right)\right)}-2 \sqrt{b^{2}-c^{2}}}{-\cosh \left(x \right)+\sqrt{2}}\right) \sinh \left(x \right)+2 \sqrt{2}\, \arctanh \left(\frac{\cosh \left(x \right) \sqrt{2}}{2}\right) \sqrt{-\sinh \left(x \right) \sqrt{b^{2}-c^{2}}-\sqrt{b^{2}-c^{2}}}\, \sinh \left(x \right)+\sqrt{2}\, \sqrt{-\sqrt{b^{2}-c^{2}}\, \left(\sinh^{3}\left(x \right)\right)-\sqrt{b^{2}-c^{2}}\, \left(\sinh^{2}\left(x \right)\right)}\, \ln \left(\frac{2 \cosh \left(x \right) \sqrt{b^{2}-c^{2}}\, \sqrt{2}\, \sinh \left(x \right)+2 \cosh \left(x \right) \sqrt{b^{2}-c^{2}}\, \sqrt{2}+2 \sinh \left(x \right) \sqrt{b^{2}-c^{2}}+2 \sqrt{-\sinh \left(x \right) \sqrt{b^{2}-c^{2}}-\sqrt{b^{2}-c^{2}}}\, \sqrt{-\sqrt{b^{2}-c^{2}}\, \left(\sinh^{3}\left(x \right)\right)-\sqrt{b^{2}-c^{2}}\, \left(\sinh^{2}\left(x \right)\right)}+2 \sqrt{b^{2}-c^{2}}}{\cosh \left(x \right)+\sqrt{2}}\right)-\sqrt{2}\, \sqrt{-\sqrt{b^{2}-c^{2}}\, \left(\sinh^{3}\left(x \right)\right)-\sqrt{b^{2}-c^{2}}\, \left(\sinh^{2}\left(x \right)\right)}\, \ln \left(\frac{2 \cosh \left(x \right) \sqrt{b^{2}-c^{2}}\, \sqrt{2}\, \sinh \left(x \right)+2 \cosh \left(x \right) \sqrt{b^{2}-c^{2}}\, \sqrt{2}-2 \sinh \left(x \right) \sqrt{b^{2}-c^{2}}-2 \sqrt{-\sinh \left(x \right) \sqrt{b^{2}-c^{2}}-\sqrt{b^{2}-c^{2}}}\, \sqrt{-\sqrt{b^{2}-c^{2}}\, \left(\sinh^{3}\left(x \right)\right)-\sqrt{b^{2}-c^{2}}\, \left(\sinh^{2}\left(x \right)\right)}-2 \sqrt{b^{2}-c^{2}}}{-\cosh \left(x \right)+\sqrt{2}}\right)+4 \sqrt{-\sinh \left(x \right) \sqrt{b^{2}-c^{2}}-\sqrt{b^{2}-c^{2}}}\, \cosh \left(x \right) \sinh \left(x \right)}{8 \left(\sinh \left(x \right)+1\right) \sinh \left(x \right) \sqrt{\frac{\left(-b^{2}+c^{2}\right) \sinh \left(x \right)}{\sqrt{b^{2}-c^{2}}}+\frac{-b^{2}+c^{2}}{\sqrt{b^{2}-c^{2}}}}\, \sqrt{-\sinh \left(x \right) \sqrt{b^{2}-c^{2}}-\sqrt{b^{2}-c^{2}}}\, \left(b^{2}-c^{2}\right)}"," ",0,"-1/8/(sinh(x)+1)/sinh(x)/((-b^2+c^2)/(b^2-c^2)^(1/2)*sinh(x)+(-b^2+c^2)/(b^2-c^2)^(1/2))^(1/2)/(-sinh(x)*(b^2-c^2)^(1/2)-(b^2-c^2)^(1/2))^(1/2)/(b^2-c^2)*(2*2^(1/2)*arctanh(1/2*cosh(x)*2^(1/2))*(-sinh(x)*(b^2-c^2)^(1/2)-(b^2-c^2)^(1/2))^(1/2)*sinh(x)^2+2^(1/2)*(-(b^2-c^2)^(1/2)*sinh(x)^3-(b^2-c^2)^(1/2)*sinh(x)^2)^(1/2)*ln(2/(cosh(x)+2^(1/2))*(cosh(x)*(b^2-c^2)^(1/2)*2^(1/2)*sinh(x)+cosh(x)*(b^2-c^2)^(1/2)*2^(1/2)+sinh(x)*(b^2-c^2)^(1/2)+(-sinh(x)*(b^2-c^2)^(1/2)-(b^2-c^2)^(1/2))^(1/2)*(-(b^2-c^2)^(1/2)*sinh(x)^3-(b^2-c^2)^(1/2)*sinh(x)^2)^(1/2)+(b^2-c^2)^(1/2)))*sinh(x)-2^(1/2)*(-(b^2-c^2)^(1/2)*sinh(x)^3-(b^2-c^2)^(1/2)*sinh(x)^2)^(1/2)*ln(2/(-cosh(x)+2^(1/2))*(cosh(x)*(b^2-c^2)^(1/2)*2^(1/2)*sinh(x)+cosh(x)*(b^2-c^2)^(1/2)*2^(1/2)-sinh(x)*(b^2-c^2)^(1/2)-(-sinh(x)*(b^2-c^2)^(1/2)-(b^2-c^2)^(1/2))^(1/2)*(-(b^2-c^2)^(1/2)*sinh(x)^3-(b^2-c^2)^(1/2)*sinh(x)^2)^(1/2)-(b^2-c^2)^(1/2)))*sinh(x)+2*2^(1/2)*arctanh(1/2*cosh(x)*2^(1/2))*(-sinh(x)*(b^2-c^2)^(1/2)-(b^2-c^2)^(1/2))^(1/2)*sinh(x)+2^(1/2)*(-(b^2-c^2)^(1/2)*sinh(x)^3-(b^2-c^2)^(1/2)*sinh(x)^2)^(1/2)*ln(2/(cosh(x)+2^(1/2))*(cosh(x)*(b^2-c^2)^(1/2)*2^(1/2)*sinh(x)+cosh(x)*(b^2-c^2)^(1/2)*2^(1/2)+sinh(x)*(b^2-c^2)^(1/2)+(-sinh(x)*(b^2-c^2)^(1/2)-(b^2-c^2)^(1/2))^(1/2)*(-(b^2-c^2)^(1/2)*sinh(x)^3-(b^2-c^2)^(1/2)*sinh(x)^2)^(1/2)+(b^2-c^2)^(1/2)))-2^(1/2)*(-(b^2-c^2)^(1/2)*sinh(x)^3-(b^2-c^2)^(1/2)*sinh(x)^2)^(1/2)*ln(2/(-cosh(x)+2^(1/2))*(cosh(x)*(b^2-c^2)^(1/2)*2^(1/2)*sinh(x)+cosh(x)*(b^2-c^2)^(1/2)*2^(1/2)-sinh(x)*(b^2-c^2)^(1/2)-(-sinh(x)*(b^2-c^2)^(1/2)-(b^2-c^2)^(1/2))^(1/2)*(-(b^2-c^2)^(1/2)*sinh(x)^3-(b^2-c^2)^(1/2)*sinh(x)^2)^(1/2)-(b^2-c^2)^(1/2)))+4*(-sinh(x)*(b^2-c^2)^(1/2)-(b^2-c^2)^(1/2))^(1/2)*cosh(x)*sinh(x))","B"
780,1,422,101,0.243000," ","int(1/(a+c*sech(x)+b*tanh(x)),x)","-\frac{2 \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2 b +2 a}+\frac{2 \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2 a -2 b}-\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) c +2 \tanh \left(\frac{x}{2}\right) b +a +c \right) a b}{\left(a +b \right) \left(a -b \right) \left(a -c \right)}+\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) c +2 \tanh \left(\frac{x}{2}\right) b +a +c \right) c b}{\left(a +b \right) \left(a -b \right) \left(a -c \right)}-\frac{2 \arctan \left(\frac{2 \left(a -c \right) \tanh \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}-c^{2}}}\right) a c}{\left(a +b \right) \left(a -b \right) \sqrt{a^{2}-b^{2}-c^{2}}}-\frac{2 \arctan \left(\frac{2 \left(a -c \right) \tanh \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}-c^{2}}}\right) b^{2}}{\left(a +b \right) \left(a -b \right) \sqrt{a^{2}-b^{2}-c^{2}}}+\frac{2 \arctan \left(\frac{2 \left(a -c \right) \tanh \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}-c^{2}}}\right) b^{2} a}{\left(a +b \right) \left(a -b \right) \sqrt{a^{2}-b^{2}-c^{2}}\, \left(a -c \right)}-\frac{2 \arctan \left(\frac{2 \left(a -c \right) \tanh \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}-c^{2}}}\right) b^{2} c}{\left(a +b \right) \left(a -b \right) \sqrt{a^{2}-b^{2}-c^{2}}\, \left(a -c \right)}"," ",0,"-2/(2*b+2*a)*ln(tanh(1/2*x)-1)+2/(2*a-2*b)*ln(tanh(1/2*x)+1)-1/(a+b)/(a-b)/(a-c)*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*c+2*tanh(1/2*x)*b+a+c)*a*b+1/(a+b)/(a-b)/(a-c)*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*c+2*tanh(1/2*x)*b+a+c)*c*b-2/(a+b)/(a-b)/(a^2-b^2-c^2)^(1/2)*arctan(1/2*(2*(a-c)*tanh(1/2*x)+2*b)/(a^2-b^2-c^2)^(1/2))*a*c-2/(a+b)/(a-b)/(a^2-b^2-c^2)^(1/2)*arctan(1/2*(2*(a-c)*tanh(1/2*x)+2*b)/(a^2-b^2-c^2)^(1/2))*b^2+2/(a+b)/(a-b)/(a^2-b^2-c^2)^(1/2)*arctan(1/2*(2*(a-c)*tanh(1/2*x)+2*b)/(a^2-b^2-c^2)^(1/2))*b^2/(a-c)*a-2/(a+b)/(a-b)/(a^2-b^2-c^2)^(1/2)*arctan(1/2*(2*(a-c)*tanh(1/2*x)+2*b)/(a^2-b^2-c^2)^(1/2))*b^2/(a-c)*c","B"
781,1,421,104,0.215000," ","int(1/(a+b*coth(x)+c*csch(x)),x)","-\frac{4 \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{4 a +4 b}+\frac{4 \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{4 a -4 b}-\frac{\ln \left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -\left(\tanh^{2}\left(\frac{x}{2}\right)\right) c +2 a \tanh \left(\frac{x}{2}\right)+b +c \right) b^{2}}{\left(a +b \right) \left(a -b \right) \left(b -c \right)}+\frac{\ln \left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -\left(\tanh^{2}\left(\frac{x}{2}\right)\right) c +2 a \tanh \left(\frac{x}{2}\right)+b +c \right) c b}{\left(a +b \right) \left(a -b \right) \left(b -c \right)}-\frac{2 \arctan \left(\frac{2 \left(b -c \right) \tanh \left(\frac{x}{2}\right)+2 a}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) a b}{\left(a +b \right) \left(a -b \right) \sqrt{-a^{2}+b^{2}-c^{2}}}-\frac{2 \arctan \left(\frac{2 \left(b -c \right) \tanh \left(\frac{x}{2}\right)+2 a}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) a c}{\left(a +b \right) \left(a -b \right) \sqrt{-a^{2}+b^{2}-c^{2}}}+\frac{2 \arctan \left(\frac{2 \left(b -c \right) \tanh \left(\frac{x}{2}\right)+2 a}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) a \,b^{2}}{\left(a +b \right) \left(a -b \right) \sqrt{-a^{2}+b^{2}-c^{2}}\, \left(b -c \right)}-\frac{2 \arctan \left(\frac{2 \left(b -c \right) \tanh \left(\frac{x}{2}\right)+2 a}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) a c b}{\left(a +b \right) \left(a -b \right) \sqrt{-a^{2}+b^{2}-c^{2}}\, \left(b -c \right)}"," ",0,"-4/(4*a+4*b)*ln(tanh(1/2*x)-1)+4/(4*a-4*b)*ln(tanh(1/2*x)+1)-1/(a+b)/(a-b)/(b-c)*ln(tanh(1/2*x)^2*b-tanh(1/2*x)^2*c+2*a*tanh(1/2*x)+b+c)*b^2+1/(a+b)/(a-b)/(b-c)*ln(tanh(1/2*x)^2*b-tanh(1/2*x)^2*c+2*a*tanh(1/2*x)+b+c)*c*b-2/(a+b)/(a-b)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(b-c)*tanh(1/2*x)+2*a)/(-a^2+b^2-c^2)^(1/2))*a*b-2/(a+b)/(a-b)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(b-c)*tanh(1/2*x)+2*a)/(-a^2+b^2-c^2)^(1/2))*a*c+2/(a+b)/(a-b)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(b-c)*tanh(1/2*x)+2*a)/(-a^2+b^2-c^2)^(1/2))*a/(b-c)*b^2-2/(a+b)/(a-b)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(b-c)*tanh(1/2*x)+2*a)/(-a^2+b^2-c^2)^(1/2))*a/(b-c)*c*b","B"
782,1,429,98,0.204000," ","int(sinh(x)/(a+b*cosh(x)+c*sinh(x)),x)","-\frac{4 \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{4 b +4 c}+\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -2 c \tanh \left(\frac{x}{2}\right)-a -b \right) a b}{\left(b -c \right) \left(b +c \right) \left(a -b \right)}-\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -2 c \tanh \left(\frac{x}{2}\right)-a -b \right) b^{2}}{\left(b -c \right) \left(b +c \right) \left(a -b \right)}-\frac{2 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) a c}{\left(b -c \right) \left(b +c \right) \sqrt{-a^{2}+b^{2}-c^{2}}}-\frac{2 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) c b}{\left(b -c \right) \left(b +c \right) \sqrt{-a^{2}+b^{2}-c^{2}}}+\frac{2 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) c a b}{\left(b -c \right) \left(b +c \right) \sqrt{-a^{2}+b^{2}-c^{2}}\, \left(a -b \right)}-\frac{2 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) c \,b^{2}}{\left(b -c \right) \left(b +c \right) \sqrt{-a^{2}+b^{2}-c^{2}}\, \left(a -b \right)}-\frac{4 \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{4 b -4 c}"," ",0,"-4/(4*b+4*c)*ln(tanh(1/2*x)-1)+1/(b-c)/(b+c)/(a-b)*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-2*c*tanh(1/2*x)-a-b)*a*b-1/(b-c)/(b+c)/(a-b)*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-2*c*tanh(1/2*x)-a-b)*b^2-2/(b-c)/(b+c)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*a*c-2/(b-c)/(b+c)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*c*b+2/(b-c)/(b+c)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*c/(a-b)*a*b-2/(b-c)/(b+c)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*c/(a-b)*b^2-4/(4*b-4*c)*ln(tanh(1/2*x)+1)","B"
783,1,28,12,0.167000," ","int(sinh(x)/(1+cosh(x)+sinh(x)),x)","-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2}+\frac{1}{\tanh \left(\frac{x}{2}\right)+1}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2}"," ",0,"-1/2*ln(tanh(1/2*x)-1)+1/(tanh(1/2*x)+1)+1/2*ln(tanh(1/2*x)+1)","B"
784,1,53,48,0.243000," ","int(sech(x)/(a+c*sech(x)+b*tanh(x)),x)","\frac{2 \arctan \left(\frac{2 \left(a -c \right) \tanh \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}-c^{2}}}\right)}{\sqrt{a^{2}-b^{2}-c^{2}}}"," ",0,"2/(a^2-b^2-c^2)^(1/2)*arctan(1/2*(2*(a-c)*tanh(1/2*x)+2*b)/(a^2-b^2-c^2)^(1/2))","A"
785,1,406,132,0.217000," ","int(sech(x)^2/(a+c*sech(x)+b*tanh(x)),x)","\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) c +2 \tanh \left(\frac{x}{2}\right) b +a +c \right) a b}{\left(b^{2}+c^{2}\right) \left(a -c \right)}-\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) c +2 \tanh \left(\frac{x}{2}\right) b +a +c \right) c b}{\left(b^{2}+c^{2}\right) \left(a -c \right)}-\frac{2 \arctan \left(\frac{2 \left(a -c \right) \tanh \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}-c^{2}}}\right) a c}{\left(b^{2}+c^{2}\right) \sqrt{a^{2}-b^{2}-c^{2}}}+\frac{2 \arctan \left(\frac{2 \left(a -c \right) \tanh \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}-c^{2}}}\right) b^{2}}{\left(b^{2}+c^{2}\right) \sqrt{a^{2}-b^{2}-c^{2}}}-\frac{2 \arctan \left(\frac{2 \left(a -c \right) \tanh \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}-c^{2}}}\right) b^{2} a}{\left(b^{2}+c^{2}\right) \sqrt{a^{2}-b^{2}-c^{2}}\, \left(a -c \right)}+\frac{2 \arctan \left(\frac{2 \left(a -c \right) \tanh \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}-c^{2}}}\right) b^{2} c}{\left(b^{2}+c^{2}\right) \sqrt{a^{2}-b^{2}-c^{2}}\, \left(a -c \right)}-\frac{b \ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}{b^{2}+c^{2}}+\frac{2 c \arctan \left(\tanh \left(\frac{x}{2}\right)\right)}{b^{2}+c^{2}}"," ",0,"1/(b^2+c^2)/(a-c)*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*c+2*tanh(1/2*x)*b+a+c)*a*b-1/(b^2+c^2)/(a-c)*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*c+2*tanh(1/2*x)*b+a+c)*c*b-2/(b^2+c^2)/(a^2-b^2-c^2)^(1/2)*arctan(1/2*(2*(a-c)*tanh(1/2*x)+2*b)/(a^2-b^2-c^2)^(1/2))*a*c+2/(b^2+c^2)/(a^2-b^2-c^2)^(1/2)*arctan(1/2*(2*(a-c)*tanh(1/2*x)+2*b)/(a^2-b^2-c^2)^(1/2))*b^2-2/(b^2+c^2)/(a^2-b^2-c^2)^(1/2)*arctan(1/2*(2*(a-c)*tanh(1/2*x)+2*b)/(a^2-b^2-c^2)^(1/2))*b^2/(a-c)*a+2/(b^2+c^2)/(a^2-b^2-c^2)^(1/2)*arctan(1/2*(2*(a-c)*tanh(1/2*x)+2*b)/(a^2-b^2-c^2)^(1/2))*b^2/(a-c)*c-b*ln(tanh(1/2*x)^2+1)/(b^2+c^2)+2*c*arctan(tanh(1/2*x))/(b^2+c^2)","B"
786,1,20,11,0.199000," ","int(csch(x)/(2+2*coth(x)+3*csch(x)),x)","\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{3}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-5\right)}{3}"," ",0,"1/3*ln(tanh(1/2*x)+1)-1/3*ln(tanh(1/2*x)-5)","A"
787,1,53,44,0.201000," ","int(csch(x)/(a+b*coth(x)+c*csch(x)),x)","\frac{2 \arctan \left(\frac{2 \left(b -c \right) \tanh \left(\frac{x}{2}\right)+2 a}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right)}{\sqrt{-a^{2}+b^{2}-c^{2}}}"," ",0,"2/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(b-c)*tanh(1/2*x)+2*a)/(-a^2+b^2-c^2)^(1/2))","A"
788,1,180,106,0.201000," ","int(csch(x)^2/(a+b*coth(x)+c*csch(x)),x)","-\frac{b \ln \left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -\left(\tanh^{2}\left(\frac{x}{2}\right)\right) c +2 a \tanh \left(\frac{x}{2}\right)+b +c \right)}{\left(b +c \right) \left(b -c \right)}-\frac{2 \arctan \left(\frac{2 \left(b -c \right) \tanh \left(\frac{x}{2}\right)+2 a}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) a}{\left(b +c \right) \sqrt{-a^{2}+b^{2}-c^{2}}}+\frac{2 \arctan \left(\frac{2 \left(b -c \right) \tanh \left(\frac{x}{2}\right)+2 a}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) b a}{\left(b +c \right) \sqrt{-a^{2}+b^{2}-c^{2}}\, \left(b -c \right)}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right)}{b +c}"," ",0,"-1/(b+c)*b/(b-c)*ln(tanh(1/2*x)^2*b-tanh(1/2*x)^2*c+2*a*tanh(1/2*x)+b+c)-2/(b+c)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(b-c)*tanh(1/2*x)+2*a)/(-a^2+b^2-c^2)^(1/2))*a+2/(b+c)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(b-c)*tanh(1/2*x)+2*a)/(-a^2+b^2-c^2)^(1/2))*b*a/(b-c)+ln(tanh(1/2*x))/(b+c)","A"
789,1,573,114,0.198000," ","int((A+C*sinh(x))/(a+b*cosh(x)+c*sinh(x)),x)","-\frac{2 C \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2 b +2 c}+\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -2 c \tanh \left(\frac{x}{2}\right)-a -b \right) a b C}{\left(b -c \right) \left(b +c \right) \left(a -b \right)}-\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -2 c \tanh \left(\frac{x}{2}\right)-a -b \right) C \,b^{2}}{\left(b -c \right) \left(b +c \right) \left(a -b \right)}-\frac{2 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) A \,b^{2}}{\left(b -c \right) \left(b +c \right) \sqrt{-a^{2}+b^{2}-c^{2}}}+\frac{2 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) A \,c^{2}}{\left(b -c \right) \left(b +c \right) \sqrt{-a^{2}+b^{2}-c^{2}}}-\frac{2 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) a c C}{\left(b -c \right) \left(b +c \right) \sqrt{-a^{2}+b^{2}-c^{2}}}-\frac{2 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) C c b}{\left(b -c \right) \left(b +c \right) \sqrt{-a^{2}+b^{2}-c^{2}}}+\frac{2 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) c a b C}{\left(b -c \right) \left(b +c \right) \sqrt{-a^{2}+b^{2}-c^{2}}\, \left(a -b \right)}-\frac{2 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) c C \,b^{2}}{\left(b -c \right) \left(b +c \right) \sqrt{-a^{2}+b^{2}-c^{2}}\, \left(a -b \right)}-\frac{2 C \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2 b -2 c}"," ",0,"-2*C/(2*b+2*c)*ln(tanh(1/2*x)-1)+1/(b-c)/(b+c)/(a-b)*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-2*c*tanh(1/2*x)-a-b)*a*b*C-1/(b-c)/(b+c)/(a-b)*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-2*c*tanh(1/2*x)-a-b)*C*b^2-2/(b-c)/(b+c)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*A*b^2+2/(b-c)/(b+c)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*A*c^2-2/(b-c)/(b+c)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*a*c*C-2/(b-c)/(b+c)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*C*c*b+2/(b-c)/(b+c)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*c/(a-b)*a*b*C-2/(b-c)/(b+c)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*c/(a-b)*C*b^2-2*C/(2*b-2*c)*ln(tanh(1/2*x)+1)","B"
790,1,287,102,0.257000," ","int((A+C*sinh(x))/(a+b*cosh(x)+c*sinh(x))^2,x)","-\frac{2 \left(-\frac{\left(A a b -A \,b^{2}+A \,c^{2}-a c C +C c b \right) \tanh \left(\frac{x}{2}\right)}{a^{3}-a^{2} b -a \,b^{2}+a \,c^{2}+b^{3}-b \,c^{2}}-\frac{a A c -a^{2} C +C \,b^{2}}{a^{3}-a^{2} b -a \,b^{2}+a \,c^{2}+b^{3}-b \,c^{2}}\right)}{a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -2 c \tanh \left(\frac{x}{2}\right)-a -b}-\frac{2 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) A a}{\left(a^{2}-b^{2}+c^{2}\right) \sqrt{-a^{2}+b^{2}-c^{2}}}-\frac{2 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) C c}{\left(a^{2}-b^{2}+c^{2}\right) \sqrt{-a^{2}+b^{2}-c^{2}}}"," ",0,"-2*(-(A*a*b-A*b^2+A*c^2-C*a*c+C*b*c)/(a^3-a^2*b-a*b^2+a*c^2+b^3-b*c^2)*tanh(1/2*x)-(A*a*c-C*a^2+C*b^2)/(a^3-a^2*b-a*b^2+a*c^2+b^3-b*c^2))/(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-2*c*tanh(1/2*x)-a-b)-2/(a^2-b^2+c^2)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*A*a-2/(a^2-b^2+c^2)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*C*c","B"
791,1,1091,188,0.298000," ","int((A+C*sinh(x))/(a+b*cosh(x)+c*sinh(x))^3,x)","-\frac{2 \left(-\frac{\left(4 A \,a^{3} b -7 A \,a^{2} b^{2}+5 A \,a^{2} c^{2}+2 A a \,b^{3}-2 A a b \,c^{2}+A \,b^{4}-3 A \,b^{2} c^{2}+2 A \,c^{4}-3 C \,a^{3} c +6 C \,a^{2} b c -3 C a \,b^{2} c \right) \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{2 \left(a^{4}-2 a^{2} b^{2}+2 a^{2} c^{2}+b^{4}-2 c^{2} b^{2}+c^{4}\right) \left(a -b \right)}-\frac{\left(4 A \,a^{4} c -12 A \,a^{3} b c +13 A \,a^{2} b^{2} c -7 A \,a^{2} c^{3}-6 A a \,b^{3} c +6 A a b \,c^{3}+A \,b^{4} c +A \,b^{2} c^{3}-2 A \,c^{5}-2 C \,a^{5}+2 C \,a^{4} b +4 C \,a^{3} b^{2}+5 C \,a^{3} c^{2}-4 C \,a^{2} b^{3}-14 C \,a^{2} b \,c^{2}-2 C a \,b^{4}+13 C a \,b^{2} c^{2}-2 C a \,c^{4}+2 C \,b^{5}-4 C \,b^{3} c^{2}+2 C b \,c^{4}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{2 \left(a^{4}-2 a^{2} b^{2}+2 a^{2} c^{2}+b^{4}-2 c^{2} b^{2}+c^{4}\right) \left(a^{2}-2 a b +b^{2}\right)}+\frac{\left(4 A \,a^{4} b -5 A \,a^{3} b^{2}+11 A \,a^{3} c^{2}-3 A \,a^{2} b^{3}-3 A \,a^{2} b \,c^{2}+5 A a \,b^{4}-7 A a \,b^{2} c^{2}+2 A a \,c^{4}-A \,b^{5}-A \,b^{3} c^{2}+2 A b \,c^{4}-5 C \,a^{4} c +5 C \,a^{3} b c +5 C \,a^{2} b^{2} c +4 C \,a^{2} c^{3}-5 C a \,b^{3} c -4 C a b \,c^{3}\right) \tanh \left(\frac{x}{2}\right)}{2 \left(a^{4}-2 a^{2} b^{2}+2 a^{2} c^{2}+b^{4}-2 c^{2} b^{2}+c^{4}\right) \left(a^{2}-2 a b +b^{2}\right)}+\frac{4 A \,a^{4} c -3 A \,a^{2} b^{2} c +A \,a^{2} c^{3}-A \,b^{4} c +A \,b^{2} c^{3}-2 C \,a^{5}+4 C \,a^{3} b^{2}+C \,a^{3} c^{2}-2 C a \,b^{4}-C a \,b^{2} c^{2}}{2 \left(a^{4}-2 a^{2} b^{2}+2 a^{2} c^{2}+b^{4}-2 c^{2} b^{2}+c^{4}\right) \left(a^{2}-2 a b +b^{2}\right)}\right)}{\left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -2 c \tanh \left(\frac{x}{2}\right)-a -b \right)^{2}}-\frac{2 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) a^{2} A}{\left(a^{4}-2 a^{2} b^{2}+2 a^{2} c^{2}+b^{4}-2 c^{2} b^{2}+c^{4}\right) \sqrt{-a^{2}+b^{2}-c^{2}}}-\frac{\arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) A \,b^{2}}{\left(a^{4}-2 a^{2} b^{2}+2 a^{2} c^{2}+b^{4}-2 c^{2} b^{2}+c^{4}\right) \sqrt{-a^{2}+b^{2}-c^{2}}}+\frac{\arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) A \,c^{2}}{\left(a^{4}-2 a^{2} b^{2}+2 a^{2} c^{2}+b^{4}-2 c^{2} b^{2}+c^{4}\right) \sqrt{-a^{2}+b^{2}-c^{2}}}-\frac{3 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) a c C}{\left(a^{4}-2 a^{2} b^{2}+2 a^{2} c^{2}+b^{4}-2 c^{2} b^{2}+c^{4}\right) \sqrt{-a^{2}+b^{2}-c^{2}}}"," ",0,"-2*(-1/2*(4*A*a^3*b-7*A*a^2*b^2+5*A*a^2*c^2+2*A*a*b^3-2*A*a*b*c^2+A*b^4-3*A*b^2*c^2+2*A*c^4-3*C*a^3*c+6*C*a^2*b*c-3*C*a*b^2*c)/(a^4-2*a^2*b^2+2*a^2*c^2+b^4-2*b^2*c^2+c^4)/(a-b)*tanh(1/2*x)^3-1/2*(4*A*a^4*c-12*A*a^3*b*c+13*A*a^2*b^2*c-7*A*a^2*c^3-6*A*a*b^3*c+6*A*a*b*c^3+A*b^4*c+A*b^2*c^3-2*A*c^5-2*C*a^5+2*C*a^4*b+4*C*a^3*b^2+5*C*a^3*c^2-4*C*a^2*b^3-14*C*a^2*b*c^2-2*C*a*b^4+13*C*a*b^2*c^2-2*C*a*c^4+2*C*b^5-4*C*b^3*c^2+2*C*b*c^4)/(a^4-2*a^2*b^2+2*a^2*c^2+b^4-2*b^2*c^2+c^4)/(a^2-2*a*b+b^2)*tanh(1/2*x)^2+1/2*(4*A*a^4*b-5*A*a^3*b^2+11*A*a^3*c^2-3*A*a^2*b^3-3*A*a^2*b*c^2+5*A*a*b^4-7*A*a*b^2*c^2+2*A*a*c^4-A*b^5-A*b^3*c^2+2*A*b*c^4-5*C*a^4*c+5*C*a^3*b*c+5*C*a^2*b^2*c+4*C*a^2*c^3-5*C*a*b^3*c-4*C*a*b*c^3)/(a^4-2*a^2*b^2+2*a^2*c^2+b^4-2*b^2*c^2+c^4)/(a^2-2*a*b+b^2)*tanh(1/2*x)+1/2*(4*A*a^4*c-3*A*a^2*b^2*c+A*a^2*c^3-A*b^4*c+A*b^2*c^3-2*C*a^5+4*C*a^3*b^2+C*a^3*c^2-2*C*a*b^4-C*a*b^2*c^2)/(a^4-2*a^2*b^2+2*a^2*c^2+b^4-2*b^2*c^2+c^4)/(a^2-2*a*b+b^2))/(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-2*c*tanh(1/2*x)-a-b)^2-2/(a^4-2*a^2*b^2+2*a^2*c^2+b^4-2*b^2*c^2+c^4)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*a^2*A-1/(a^4-2*a^2*b^2+2*a^2*c^2+b^4-2*b^2*c^2+c^4)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*A*b^2+1/(a^4-2*a^2*b^2+2*a^2*c^2+b^4-2*b^2*c^2+c^4)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*A*c^2-3/(a^4-2*a^2*b^2+2*a^2*c^2+b^4-2*b^2*c^2+c^4)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*a*c*C","B"
792,1,574,115,0.198000," ","int((A+B*cosh(x))/(a+b*cosh(x)+c*sinh(x)),x)","-\frac{2 B \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2 b +2 c}-\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -2 c \tanh \left(\frac{x}{2}\right)-a -b \right) a B c}{\left(b -c \right) \left(b +c \right) \left(a -b \right)}+\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -2 c \tanh \left(\frac{x}{2}\right)-a -b \right) b B c}{\left(b -c \right) \left(b +c \right) \left(a -b \right)}-\frac{2 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) A \,b^{2}}{\left(b -c \right) \left(b +c \right) \sqrt{-a^{2}+b^{2}-c^{2}}}+\frac{2 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) A \,c^{2}}{\left(b -c \right) \left(b +c \right) \sqrt{-a^{2}+b^{2}-c^{2}}}+\frac{2 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) b B a}{\left(b -c \right) \left(b +c \right) \sqrt{-a^{2}+b^{2}-c^{2}}}+\frac{2 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) B \,c^{2}}{\left(b -c \right) \left(b +c \right) \sqrt{-a^{2}+b^{2}-c^{2}}}-\frac{2 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) c^{2} a B}{\left(b -c \right) \left(b +c \right) \sqrt{-a^{2}+b^{2}-c^{2}}\, \left(a -b \right)}+\frac{2 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) c^{2} b B}{\left(b -c \right) \left(b +c \right) \sqrt{-a^{2}+b^{2}-c^{2}}\, \left(a -b \right)}+\frac{2 B \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2 b -2 c}"," ",0,"-2*B/(2*b+2*c)*ln(tanh(1/2*x)-1)-1/(b-c)/(b+c)/(a-b)*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-2*c*tanh(1/2*x)-a-b)*a*B*c+1/(b-c)/(b+c)/(a-b)*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-2*c*tanh(1/2*x)-a-b)*b*B*c-2/(b-c)/(b+c)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*A*b^2+2/(b-c)/(b+c)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*A*c^2+2/(b-c)/(b+c)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*b*B*a+2/(b-c)/(b+c)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*B*c^2-2/(b-c)/(b+c)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*c^2/(a-b)*a*B+2/(b-c)/(b+c)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*c^2/(a-b)*b*B+2*B/(2*b-2*c)*ln(tanh(1/2*x)+1)","B"
793,1,287,104,0.263000," ","int((A+B*cosh(x))/(a+b*cosh(x)+c*sinh(x))^2,x)","-\frac{2 \left(-\frac{\left(A a b -A \,b^{2}+A \,c^{2}-B \,a^{2}+b B a -B \,c^{2}\right) \tanh \left(\frac{x}{2}\right)}{a^{3}-a^{2} b -a \,b^{2}+a \,c^{2}+b^{3}-b \,c^{2}}-\frac{\left(A a -B b \right) c}{a^{3}-a^{2} b -a \,b^{2}+a \,c^{2}+b^{3}-b \,c^{2}}\right)}{a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -2 c \tanh \left(\frac{x}{2}\right)-a -b}-\frac{2 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) A a}{\left(a^{2}-b^{2}+c^{2}\right) \sqrt{-a^{2}+b^{2}-c^{2}}}+\frac{2 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) B b}{\left(a^{2}-b^{2}+c^{2}\right) \sqrt{-a^{2}+b^{2}-c^{2}}}"," ",0,"-2*(-(A*a*b-A*b^2+A*c^2-B*a^2+B*a*b-B*c^2)/(a^3-a^2*b-a*b^2+a*c^2+b^3-b*c^2)*tanh(1/2*x)-(A*a-B*b)*c/(a^3-a^2*b-a*b^2+a*c^2+b^3-b*c^2))/(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-2*c*tanh(1/2*x)-a-b)-2/(a^2-b^2+c^2)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*A*a+2/(a^2-b^2+c^2)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*B*b","B"
794,1,1112,190,0.297000," ","int((A+B*cosh(x))/(a+b*cosh(x)+c*sinh(x))^3,x)","-\frac{2 \left(-\frac{\left(4 A \,a^{3} b -7 A \,a^{2} b^{2}+5 A \,a^{2} c^{2}+2 A a \,b^{3}-2 A a b \,c^{2}+A \,b^{4}-3 A \,b^{2} c^{2}+2 A \,c^{4}-2 B \,a^{4}+3 B \,a^{3} b -2 B \,a^{2} b^{2}-4 B \,a^{2} c^{2}+3 B a \,b^{3}-2 B \,b^{4}+4 B \,b^{2} c^{2}-2 B \,c^{4}\right) \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{2 \left(a -b \right) \left(a^{4}-2 a^{2} b^{2}+2 a^{2} c^{2}+b^{4}-2 c^{2} b^{2}+c^{4}\right)}-\frac{c \left(4 A \,a^{4}-12 A \,a^{3} b +13 A \,a^{2} b^{2}-7 A \,a^{2} c^{2}-6 A a \,b^{3}+6 A a b \,c^{2}+A \,b^{4}+A \,b^{2} c^{2}-2 A \,c^{4}+2 B \,a^{4}-9 B \,a^{3} b +14 B \,a^{2} b^{2}+4 B \,a^{2} c^{2}-9 B a \,b^{3}+2 B \,b^{4}-4 B \,b^{2} c^{2}+2 B \,c^{4}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{2 \left(a^{4}-2 a^{2} b^{2}+2 a^{2} c^{2}+b^{4}-2 c^{2} b^{2}+c^{4}\right) \left(a^{2}-2 a b +b^{2}\right)}+\frac{\left(4 A \,a^{4} b -5 A \,a^{3} b^{2}+11 A \,a^{3} c^{2}-3 A \,a^{2} b^{3}-3 A \,a^{2} b \,c^{2}+5 A a \,b^{4}-7 A a \,b^{2} c^{2}+2 A a \,c^{4}-A \,b^{5}-A \,b^{3} c^{2}+2 A b \,c^{4}-2 B \,a^{5}+3 B \,a^{4} b -B \,a^{3} b^{2}-4 B \,a^{3} c^{2}-B \,a^{2} b^{3}-8 B \,a^{2} b \,c^{2}+3 B a \,b^{4}+8 B a \,b^{2} c^{2}-2 B a \,c^{4}-2 B \,b^{5}+4 B \,b^{3} c^{2}-2 B b \,c^{4}\right) \tanh \left(\frac{x}{2}\right)}{2 \left(a^{4}-2 a^{2} b^{2}+2 a^{2} c^{2}+b^{4}-2 c^{2} b^{2}+c^{4}\right) \left(a^{2}-2 a b +b^{2}\right)}+\frac{c \left(4 A \,a^{4}-3 A \,a^{2} b^{2}+A \,a^{2} c^{2}-A \,b^{4}+A \,b^{2} c^{2}-5 B \,a^{3} b +5 B a \,b^{3}-2 B a b \,c^{2}\right)}{2 \left(a^{4}-2 a^{2} b^{2}+2 a^{2} c^{2}+b^{4}-2 c^{2} b^{2}+c^{4}\right) \left(a^{2}-2 a b +b^{2}\right)}\right)}{\left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -2 c \tanh \left(\frac{x}{2}\right)-a -b \right)^{2}}-\frac{2 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) a^{2} A}{\left(a^{4}-2 a^{2} b^{2}+2 a^{2} c^{2}+b^{4}-2 c^{2} b^{2}+c^{4}\right) \sqrt{-a^{2}+b^{2}-c^{2}}}-\frac{\arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) A \,b^{2}}{\left(a^{4}-2 a^{2} b^{2}+2 a^{2} c^{2}+b^{4}-2 c^{2} b^{2}+c^{4}\right) \sqrt{-a^{2}+b^{2}-c^{2}}}+\frac{\arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) A \,c^{2}}{\left(a^{4}-2 a^{2} b^{2}+2 a^{2} c^{2}+b^{4}-2 c^{2} b^{2}+c^{4}\right) \sqrt{-a^{2}+b^{2}-c^{2}}}+\frac{3 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) b B a}{\left(a^{4}-2 a^{2} b^{2}+2 a^{2} c^{2}+b^{4}-2 c^{2} b^{2}+c^{4}\right) \sqrt{-a^{2}+b^{2}-c^{2}}}"," ",0,"-2*(-1/2*(4*A*a^3*b-7*A*a^2*b^2+5*A*a^2*c^2+2*A*a*b^3-2*A*a*b*c^2+A*b^4-3*A*b^2*c^2+2*A*c^4-2*B*a^4+3*B*a^3*b-2*B*a^2*b^2-4*B*a^2*c^2+3*B*a*b^3-2*B*b^4+4*B*b^2*c^2-2*B*c^4)/(a-b)/(a^4-2*a^2*b^2+2*a^2*c^2+b^4-2*b^2*c^2+c^4)*tanh(1/2*x)^3-1/2*c*(4*A*a^4-12*A*a^3*b+13*A*a^2*b^2-7*A*a^2*c^2-6*A*a*b^3+6*A*a*b*c^2+A*b^4+A*b^2*c^2-2*A*c^4+2*B*a^4-9*B*a^3*b+14*B*a^2*b^2+4*B*a^2*c^2-9*B*a*b^3+2*B*b^4-4*B*b^2*c^2+2*B*c^4)/(a^4-2*a^2*b^2+2*a^2*c^2+b^4-2*b^2*c^2+c^4)/(a^2-2*a*b+b^2)*tanh(1/2*x)^2+1/2*(4*A*a^4*b-5*A*a^3*b^2+11*A*a^3*c^2-3*A*a^2*b^3-3*A*a^2*b*c^2+5*A*a*b^4-7*A*a*b^2*c^2+2*A*a*c^4-A*b^5-A*b^3*c^2+2*A*b*c^4-2*B*a^5+3*B*a^4*b-B*a^3*b^2-4*B*a^3*c^2-B*a^2*b^3-8*B*a^2*b*c^2+3*B*a*b^4+8*B*a*b^2*c^2-2*B*a*c^4-2*B*b^5+4*B*b^3*c^2-2*B*b*c^4)/(a^4-2*a^2*b^2+2*a^2*c^2+b^4-2*b^2*c^2+c^4)/(a^2-2*a*b+b^2)*tanh(1/2*x)+1/2*c*(4*A*a^4-3*A*a^2*b^2+A*a^2*c^2-A*b^4+A*b^2*c^2-5*B*a^3*b+5*B*a*b^3-2*B*a*b*c^2)/(a^4-2*a^2*b^2+2*a^2*c^2+b^4-2*b^2*c^2+c^4)/(a^2-2*a*b+b^2))/(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-2*c*tanh(1/2*x)-a-b)^2-2/(a^4-2*a^2*b^2+2*a^2*c^2+b^4-2*b^2*c^2+c^4)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*a^2*A-1/(a^4-2*a^2*b^2+2*a^2*c^2+b^4-2*b^2*c^2+c^4)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*A*b^2+1/(a^4-2*a^2*b^2+2*a^2*c^2+b^4-2*b^2*c^2+c^4)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*A*c^2+3/(a^4-2*a^2*b^2+2*a^2*c^2+b^4-2*b^2*c^2+c^4)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*b*B*a","B"
795,1,873,119,0.201000," ","int((B*cosh(x)+C*sinh(x))/(a+b*cosh(x)+c*sinh(x)),x)","-\frac{2 B \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2 b +2 c}-\frac{2 C \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2 b +2 c}-\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -2 c \tanh \left(\frac{x}{2}\right)-a -b \right) a B c}{\left(b -c \right) \left(b +c \right) \left(a -b \right)}+\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -2 c \tanh \left(\frac{x}{2}\right)-a -b \right) b B c}{\left(b -c \right) \left(b +c \right) \left(a -b \right)}+\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -2 c \tanh \left(\frac{x}{2}\right)-a -b \right) a b C}{\left(b -c \right) \left(b +c \right) \left(a -b \right)}-\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -2 c \tanh \left(\frac{x}{2}\right)-a -b \right) C \,b^{2}}{\left(b -c \right) \left(b +c \right) \left(a -b \right)}+\frac{2 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) b B a}{\left(b -c \right) \left(b +c \right) \sqrt{-a^{2}+b^{2}-c^{2}}}+\frac{2 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) B \,c^{2}}{\left(b -c \right) \left(b +c \right) \sqrt{-a^{2}+b^{2}-c^{2}}}-\frac{2 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) a c C}{\left(b -c \right) \left(b +c \right) \sqrt{-a^{2}+b^{2}-c^{2}}}-\frac{2 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) C c b}{\left(b -c \right) \left(b +c \right) \sqrt{-a^{2}+b^{2}-c^{2}}}-\frac{2 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) c^{2} a B}{\left(b -c \right) \left(b +c \right) \sqrt{-a^{2}+b^{2}-c^{2}}\, \left(a -b \right)}+\frac{2 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) c^{2} b B}{\left(b -c \right) \left(b +c \right) \sqrt{-a^{2}+b^{2}-c^{2}}\, \left(a -b \right)}+\frac{2 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) c a b C}{\left(b -c \right) \left(b +c \right) \sqrt{-a^{2}+b^{2}-c^{2}}\, \left(a -b \right)}-\frac{2 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) c C \,b^{2}}{\left(b -c \right) \left(b +c \right) \sqrt{-a^{2}+b^{2}-c^{2}}\, \left(a -b \right)}+\frac{2 B \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2 b -2 c}-\frac{2 C \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2 b -2 c}"," ",0,"-2*B/(2*b+2*c)*ln(tanh(1/2*x)-1)-2*C/(2*b+2*c)*ln(tanh(1/2*x)-1)-1/(b-c)/(b+c)/(a-b)*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-2*c*tanh(1/2*x)-a-b)*a*B*c+1/(b-c)/(b+c)/(a-b)*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-2*c*tanh(1/2*x)-a-b)*b*B*c+1/(b-c)/(b+c)/(a-b)*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-2*c*tanh(1/2*x)-a-b)*a*b*C-1/(b-c)/(b+c)/(a-b)*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-2*c*tanh(1/2*x)-a-b)*C*b^2+2/(b-c)/(b+c)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*b*B*a+2/(b-c)/(b+c)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*B*c^2-2/(b-c)/(b+c)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*a*c*C-2/(b-c)/(b+c)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*C*c*b-2/(b-c)/(b+c)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*c^2/(a-b)*a*B+2/(b-c)/(b+c)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*c^2/(a-b)*b*B+2/(b-c)/(b+c)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*c/(a-b)*a*b*C-2/(b-c)/(b+c)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*c/(a-b)*C*b^2+2*B/(2*b-2*c)*ln(tanh(1/2*x)+1)-2*C/(2*b-2*c)*ln(tanh(1/2*x)+1)","B"
796,1,287,99,0.267000," ","int((B*cosh(x)+C*sinh(x))/(a+b*cosh(x)+c*sinh(x))^2,x)","\frac{-\frac{2 \left(B \,a^{2}-b B a +B \,c^{2}+a c C -C c b \right) \tanh \left(\frac{x}{2}\right)}{a^{3}-a^{2} b -a \,b^{2}+a \,c^{2}+b^{3}-b \,c^{2}}-\frac{2 \left(b B c +a^{2} C -C \,b^{2}\right)}{a^{3}-a^{2} b -a \,b^{2}+a \,c^{2}+b^{3}-b \,c^{2}}}{a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -2 c \tanh \left(\frac{x}{2}\right)-a -b}+\frac{2 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) B b}{\left(a^{2}-b^{2}+c^{2}\right) \sqrt{-a^{2}+b^{2}-c^{2}}}-\frac{2 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) C c}{\left(a^{2}-b^{2}+c^{2}\right) \sqrt{-a^{2}+b^{2}-c^{2}}}"," ",0,"2*(-(B*a^2-B*a*b+B*c^2+C*a*c-C*b*c)/(a^3-a^2*b-a*b^2+a*c^2+b^3-b*c^2)*tanh(1/2*x)-(B*b*c+C*a^2-C*b^2)/(a^3-a^2*b-a*b^2+a*c^2+b^3-b*c^2))/(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-2*c*tanh(1/2*x)-a-b)+2/(a^2-b^2+c^2)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*B*b-2/(a^2-b^2+c^2)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*C*c","B"
797,1,885,181,0.306000," ","int((B*cosh(x)+C*sinh(x))/(a+b*cosh(x)+c*sinh(x))^3,x)","\frac{-\frac{\left(2 B \,a^{4}-3 B \,a^{3} b +2 B \,a^{2} b^{2}+4 B \,a^{2} c^{2}-3 B a \,b^{3}+2 B \,b^{4}-4 B \,b^{2} c^{2}+2 B \,c^{4}+3 C \,a^{3} c -6 C \,a^{2} b c +3 C a \,b^{2} c \right) \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{\left(a^{4}-2 a^{2} b^{2}+2 a^{2} c^{2}+b^{4}-2 c^{2} b^{2}+c^{4}\right) \left(a -b \right)}+\frac{\left(2 B \,a^{4} c -9 B \,a^{3} b c +14 B \,a^{2} b^{2} c +4 B \,a^{2} c^{3}-9 B a \,b^{3} c +2 B \,b^{4} c -4 B \,b^{2} c^{3}+2 B \,c^{5}-2 C \,a^{5}+2 C \,a^{4} b +4 C \,a^{3} b^{2}+5 C \,a^{3} c^{2}-4 C \,a^{2} b^{3}-14 C \,a^{2} b \,c^{2}-2 C a \,b^{4}+13 C a \,b^{2} c^{2}-2 C a \,c^{4}+2 C \,b^{5}-4 C \,b^{3} c^{2}+2 C b \,c^{4}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{\left(a^{4}-2 a^{2} b^{2}+2 a^{2} c^{2}+b^{4}-2 c^{2} b^{2}+c^{4}\right) \left(a^{2}-2 a b +b^{2}\right)}+\frac{\left(2 B \,a^{5}-3 B \,a^{4} b +B \,a^{3} b^{2}+4 B \,a^{3} c^{2}+B \,a^{2} b^{3}+8 B \,a^{2} b \,c^{2}-3 B a \,b^{4}-8 B a \,b^{2} c^{2}+2 B a \,c^{4}+2 B \,b^{5}-4 B \,b^{3} c^{2}+2 B b \,c^{4}+5 C \,a^{4} c -5 C \,a^{3} b c -5 C \,a^{2} b^{2} c -4 C \,a^{2} c^{3}+5 C a \,b^{3} c +4 C a b \,c^{3}\right) \tanh \left(\frac{x}{2}\right)}{\left(a^{4}-2 a^{2} b^{2}+2 a^{2} c^{2}+b^{4}-2 c^{2} b^{2}+c^{4}\right) \left(a^{2}-2 a b +b^{2}\right)}+\frac{a \left(5 B \,a^{2} b c -5 B \,b^{3} c +2 B b \,c^{3}+2 C \,a^{4}-4 C \,a^{2} b^{2}-C \,a^{2} c^{2}+2 C \,b^{4}+C \,b^{2} c^{2}\right)}{\left(a^{4}-2 a^{2} b^{2}+2 a^{2} c^{2}+b^{4}-2 c^{2} b^{2}+c^{4}\right) \left(a^{2}-2 a b +b^{2}\right)}}{\left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -2 c \tanh \left(\frac{x}{2}\right)-a -b \right)^{2}}+\frac{3 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) b B a}{\left(a^{4}-2 a^{2} b^{2}+2 a^{2} c^{2}+b^{4}-2 c^{2} b^{2}+c^{4}\right) \sqrt{-a^{2}+b^{2}-c^{2}}}-\frac{3 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) a c C}{\left(a^{4}-2 a^{2} b^{2}+2 a^{2} c^{2}+b^{4}-2 c^{2} b^{2}+c^{4}\right) \sqrt{-a^{2}+b^{2}-c^{2}}}"," ",0,"2*(-1/2*(2*B*a^4-3*B*a^3*b+2*B*a^2*b^2+4*B*a^2*c^2-3*B*a*b^3+2*B*b^4-4*B*b^2*c^2+2*B*c^4+3*C*a^3*c-6*C*a^2*b*c+3*C*a*b^2*c)/(a^4-2*a^2*b^2+2*a^2*c^2+b^4-2*b^2*c^2+c^4)/(a-b)*tanh(1/2*x)^3+1/2*(2*B*a^4*c-9*B*a^3*b*c+14*B*a^2*b^2*c+4*B*a^2*c^3-9*B*a*b^3*c+2*B*b^4*c-4*B*b^2*c^3+2*B*c^5-2*C*a^5+2*C*a^4*b+4*C*a^3*b^2+5*C*a^3*c^2-4*C*a^2*b^3-14*C*a^2*b*c^2-2*C*a*b^4+13*C*a*b^2*c^2-2*C*a*c^4+2*C*b^5-4*C*b^3*c^2+2*C*b*c^4)/(a^4-2*a^2*b^2+2*a^2*c^2+b^4-2*b^2*c^2+c^4)/(a^2-2*a*b+b^2)*tanh(1/2*x)^2+1/2*(2*B*a^5-3*B*a^4*b+B*a^3*b^2+4*B*a^3*c^2+B*a^2*b^3+8*B*a^2*b*c^2-3*B*a*b^4-8*B*a*b^2*c^2+2*B*a*c^4+2*B*b^5-4*B*b^3*c^2+2*B*b*c^4+5*C*a^4*c-5*C*a^3*b*c-5*C*a^2*b^2*c-4*C*a^2*c^3+5*C*a*b^3*c+4*C*a*b*c^3)/(a^4-2*a^2*b^2+2*a^2*c^2+b^4-2*b^2*c^2+c^4)/(a^2-2*a*b+b^2)*tanh(1/2*x)+1/2*a*(5*B*a^2*b*c-5*B*b^3*c+2*B*b*c^3+2*C*a^4-4*C*a^2*b^2-C*a^2*c^2+2*C*b^4+C*b^2*c^2)/(a^4-2*a^2*b^2+2*a^2*c^2+b^4-2*b^2*c^2+c^4)/(a^2-2*a*b+b^2))/(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-2*c*tanh(1/2*x)-a-b)^2+3/(a^4-2*a^2*b^2+2*a^2*c^2+b^4-2*b^2*c^2+c^4)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*b*B*a-3/(a^4-2*a^2*b^2+2*a^2*c^2+b^4-2*b^2*c^2+c^4)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*a*c*C","B"
798,1,1009,131,0.203000," ","int((A+B*cosh(x)+C*sinh(x))/(a+b*cosh(x)+c*sinh(x)),x)","-\frac{2 B \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2 b +2 c}-\frac{2 C \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2 b +2 c}-\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -2 c \tanh \left(\frac{x}{2}\right)-a -b \right) a B c}{\left(b -c \right) \left(b +c \right) \left(a -b \right)}+\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -2 c \tanh \left(\frac{x}{2}\right)-a -b \right) b B c}{\left(b -c \right) \left(b +c \right) \left(a -b \right)}+\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -2 c \tanh \left(\frac{x}{2}\right)-a -b \right) a b C}{\left(b -c \right) \left(b +c \right) \left(a -b \right)}-\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -2 c \tanh \left(\frac{x}{2}\right)-a -b \right) C \,b^{2}}{\left(b -c \right) \left(b +c \right) \left(a -b \right)}-\frac{2 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) A \,b^{2}}{\left(b -c \right) \left(b +c \right) \sqrt{-a^{2}+b^{2}-c^{2}}}+\frac{2 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) A \,c^{2}}{\left(b -c \right) \left(b +c \right) \sqrt{-a^{2}+b^{2}-c^{2}}}+\frac{2 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) b B a}{\left(b -c \right) \left(b +c \right) \sqrt{-a^{2}+b^{2}-c^{2}}}+\frac{2 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) B \,c^{2}}{\left(b -c \right) \left(b +c \right) \sqrt{-a^{2}+b^{2}-c^{2}}}-\frac{2 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) a c C}{\left(b -c \right) \left(b +c \right) \sqrt{-a^{2}+b^{2}-c^{2}}}-\frac{2 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) C c b}{\left(b -c \right) \left(b +c \right) \sqrt{-a^{2}+b^{2}-c^{2}}}-\frac{2 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) c^{2} a B}{\left(b -c \right) \left(b +c \right) \sqrt{-a^{2}+b^{2}-c^{2}}\, \left(a -b \right)}+\frac{2 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) c^{2} b B}{\left(b -c \right) \left(b +c \right) \sqrt{-a^{2}+b^{2}-c^{2}}\, \left(a -b \right)}+\frac{2 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) c a b C}{\left(b -c \right) \left(b +c \right) \sqrt{-a^{2}+b^{2}-c^{2}}\, \left(a -b \right)}-\frac{2 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) c C \,b^{2}}{\left(b -c \right) \left(b +c \right) \sqrt{-a^{2}+b^{2}-c^{2}}\, \left(a -b \right)}+\frac{2 B \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2 b -2 c}-\frac{2 C \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2 b -2 c}"," ",0,"-2*B/(2*b+2*c)*ln(tanh(1/2*x)-1)-2*C/(2*b+2*c)*ln(tanh(1/2*x)-1)-1/(b-c)/(b+c)/(a-b)*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-2*c*tanh(1/2*x)-a-b)*a*B*c+1/(b-c)/(b+c)/(a-b)*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-2*c*tanh(1/2*x)-a-b)*b*B*c+1/(b-c)/(b+c)/(a-b)*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-2*c*tanh(1/2*x)-a-b)*a*b*C-1/(b-c)/(b+c)/(a-b)*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-2*c*tanh(1/2*x)-a-b)*C*b^2-2/(b-c)/(b+c)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*A*b^2+2/(b-c)/(b+c)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*A*c^2+2/(b-c)/(b+c)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*b*B*a+2/(b-c)/(b+c)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*B*c^2-2/(b-c)/(b+c)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*a*c*C-2/(b-c)/(b+c)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*C*c*b-2/(b-c)/(b+c)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*c^2/(a-b)*a*B+2/(b-c)/(b+c)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*c^2/(a-b)*b*B+2/(b-c)/(b+c)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*c/(a-b)*a*b*C-2/(b-c)/(b+c)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*c/(a-b)*C*b^2+2*B/(2*b-2*c)*ln(tanh(1/2*x)+1)-2*C/(2*b-2*c)*ln(tanh(1/2*x)+1)","B"
799,1,376,116,0.269000," ","int((A+B*cosh(x)+C*sinh(x))/(a+b*cosh(x)+c*sinh(x))^2,x)","-\frac{2 \left(-\frac{\left(A a b -A \,b^{2}+A \,c^{2}-B \,a^{2}+b B a -B \,c^{2}-a c C +C c b \right) \tanh \left(\frac{x}{2}\right)}{a^{3}-a^{2} b -a \,b^{2}+a \,c^{2}+b^{3}-b \,c^{2}}-\frac{a A c -b B c -a^{2} C +C \,b^{2}}{a^{3}-a^{2} b -a \,b^{2}+a \,c^{2}+b^{3}-b \,c^{2}}\right)}{a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -2 c \tanh \left(\frac{x}{2}\right)-a -b}-\frac{2 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) A a}{\left(a^{2}-b^{2}+c^{2}\right) \sqrt{-a^{2}+b^{2}-c^{2}}}+\frac{2 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) B b}{\left(a^{2}-b^{2}+c^{2}\right) \sqrt{-a^{2}+b^{2}-c^{2}}}-\frac{2 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) C c}{\left(a^{2}-b^{2}+c^{2}\right) \sqrt{-a^{2}+b^{2}-c^{2}}}"," ",0,"-2*(-(A*a*b-A*b^2+A*c^2-B*a^2+B*a*b-B*c^2-C*a*c+C*b*c)/(a^3-a^2*b-a*b^2+a*c^2+b^3-b*c^2)*tanh(1/2*x)-(A*a*c-B*b*c-C*a^2+C*b^2)/(a^3-a^2*b-a*b^2+a*c^2+b^3-b*c^2))/(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-2*c*tanh(1/2*x)-a-b)-2/(a^2-b^2+c^2)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*A*a+2/(a^2-b^2+c^2)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*B*b-2/(a^2-b^2+c^2)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*C*c","B"
800,1,1425,228,0.357000," ","int((A+B*cosh(x)+C*sinh(x))/(a+b*cosh(x)+c*sinh(x))^3,x)","-\frac{2 \left(-\frac{\left(4 A \,a^{3} b -7 A \,a^{2} b^{2}+5 A \,a^{2} c^{2}+2 A a \,b^{3}-2 A a b \,c^{2}+A \,b^{4}-3 A \,b^{2} c^{2}+2 A \,c^{4}-2 B \,a^{4}+3 B \,a^{3} b -2 B \,a^{2} b^{2}-4 B \,a^{2} c^{2}+3 B a \,b^{3}-2 B \,b^{4}+4 B \,b^{2} c^{2}-2 B \,c^{4}-3 C \,a^{3} c +6 C \,a^{2} b c -3 C a \,b^{2} c \right) \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{2 \left(a -b \right) \left(a^{4}-2 a^{2} b^{2}+2 a^{2} c^{2}+b^{4}-2 c^{2} b^{2}+c^{4}\right)}-\frac{\left(4 A \,a^{4} c -12 A \,a^{3} b c +13 A \,a^{2} b^{2} c -7 A \,a^{2} c^{3}-6 A a \,b^{3} c +6 A a b \,c^{3}+A \,b^{4} c +A \,b^{2} c^{3}-2 A \,c^{5}+2 B \,a^{4} c -9 B \,a^{3} b c +14 B \,a^{2} b^{2} c +4 B \,a^{2} c^{3}-9 B a \,b^{3} c +2 B \,b^{4} c -4 B \,b^{2} c^{3}+2 B \,c^{5}-2 C \,a^{5}+2 C \,a^{4} b +4 C \,a^{3} b^{2}+5 C \,a^{3} c^{2}-4 C \,a^{2} b^{3}-14 C \,a^{2} b \,c^{2}-2 C a \,b^{4}+13 C a \,b^{2} c^{2}-2 C a \,c^{4}+2 C \,b^{5}-4 C \,b^{3} c^{2}+2 C b \,c^{4}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{2 \left(a^{4}-2 a^{2} b^{2}+2 a^{2} c^{2}+b^{4}-2 c^{2} b^{2}+c^{4}\right) \left(a^{2}-2 a b +b^{2}\right)}+\frac{\left(4 A \,a^{4} b -5 A \,a^{3} b^{2}+11 A \,a^{3} c^{2}-3 A \,a^{2} b^{3}-3 A \,a^{2} b \,c^{2}+5 A a \,b^{4}-7 A a \,b^{2} c^{2}+2 A a \,c^{4}-A \,b^{5}-A \,b^{3} c^{2}+2 A b \,c^{4}-2 B \,a^{5}+3 B \,a^{4} b -B \,a^{3} b^{2}-4 B \,a^{3} c^{2}-B \,a^{2} b^{3}-8 B \,a^{2} b \,c^{2}+3 B a \,b^{4}+8 B a \,b^{2} c^{2}-2 B a \,c^{4}-2 B \,b^{5}+4 B \,b^{3} c^{2}-2 B b \,c^{4}-5 C \,a^{4} c +5 C \,a^{3} b c +5 C \,a^{2} b^{2} c +4 C \,a^{2} c^{3}-5 C a \,b^{3} c -4 C a b \,c^{3}\right) \tanh \left(\frac{x}{2}\right)}{2 \left(a^{4}-2 a^{2} b^{2}+2 a^{2} c^{2}+b^{4}-2 c^{2} b^{2}+c^{4}\right) \left(a^{2}-2 a b +b^{2}\right)}+\frac{4 A \,a^{4} c -3 A \,a^{2} b^{2} c +A \,a^{2} c^{3}-A \,b^{4} c +A \,b^{2} c^{3}-5 B \,a^{3} b c +5 B a \,b^{3} c -2 B a b \,c^{3}-2 C \,a^{5}+4 C \,a^{3} b^{2}+C \,a^{3} c^{2}-2 C a \,b^{4}-C a \,b^{2} c^{2}}{2 \left(a^{4}-2 a^{2} b^{2}+2 a^{2} c^{2}+b^{4}-2 c^{2} b^{2}+c^{4}\right) \left(a^{2}-2 a b +b^{2}\right)}\right)}{\left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -2 c \tanh \left(\frac{x}{2}\right)-a -b \right)^{2}}-\frac{2 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) a^{2} A}{\left(a^{4}-2 a^{2} b^{2}+2 a^{2} c^{2}+b^{4}-2 c^{2} b^{2}+c^{4}\right) \sqrt{-a^{2}+b^{2}-c^{2}}}-\frac{\arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) A \,b^{2}}{\left(a^{4}-2 a^{2} b^{2}+2 a^{2} c^{2}+b^{4}-2 c^{2} b^{2}+c^{4}\right) \sqrt{-a^{2}+b^{2}-c^{2}}}+\frac{\arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) A \,c^{2}}{\left(a^{4}-2 a^{2} b^{2}+2 a^{2} c^{2}+b^{4}-2 c^{2} b^{2}+c^{4}\right) \sqrt{-a^{2}+b^{2}-c^{2}}}+\frac{3 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) b B a}{\left(a^{4}-2 a^{2} b^{2}+2 a^{2} c^{2}+b^{4}-2 c^{2} b^{2}+c^{4}\right) \sqrt{-a^{2}+b^{2}-c^{2}}}-\frac{3 \arctan \left(\frac{2 \left(a -b \right) \tanh \left(\frac{x}{2}\right)-2 c}{2 \sqrt{-a^{2}+b^{2}-c^{2}}}\right) a c C}{\left(a^{4}-2 a^{2} b^{2}+2 a^{2} c^{2}+b^{4}-2 c^{2} b^{2}+c^{4}\right) \sqrt{-a^{2}+b^{2}-c^{2}}}"," ",0,"-2*(-1/2*(4*A*a^3*b-7*A*a^2*b^2+5*A*a^2*c^2+2*A*a*b^3-2*A*a*b*c^2+A*b^4-3*A*b^2*c^2+2*A*c^4-2*B*a^4+3*B*a^3*b-2*B*a^2*b^2-4*B*a^2*c^2+3*B*a*b^3-2*B*b^4+4*B*b^2*c^2-2*B*c^4-3*C*a^3*c+6*C*a^2*b*c-3*C*a*b^2*c)/(a-b)/(a^4-2*a^2*b^2+2*a^2*c^2+b^4-2*b^2*c^2+c^4)*tanh(1/2*x)^3-1/2*(4*A*a^4*c-12*A*a^3*b*c+13*A*a^2*b^2*c-7*A*a^2*c^3-6*A*a*b^3*c+6*A*a*b*c^3+A*b^4*c+A*b^2*c^3-2*A*c^5+2*B*a^4*c-9*B*a^3*b*c+14*B*a^2*b^2*c+4*B*a^2*c^3-9*B*a*b^3*c+2*B*b^4*c-4*B*b^2*c^3+2*B*c^5-2*C*a^5+2*C*a^4*b+4*C*a^3*b^2+5*C*a^3*c^2-4*C*a^2*b^3-14*C*a^2*b*c^2-2*C*a*b^4+13*C*a*b^2*c^2-2*C*a*c^4+2*C*b^5-4*C*b^3*c^2+2*C*b*c^4)/(a^4-2*a^2*b^2+2*a^2*c^2+b^4-2*b^2*c^2+c^4)/(a^2-2*a*b+b^2)*tanh(1/2*x)^2+1/2*(4*A*a^4*b-5*A*a^3*b^2+11*A*a^3*c^2-3*A*a^2*b^3-3*A*a^2*b*c^2+5*A*a*b^4-7*A*a*b^2*c^2+2*A*a*c^4-A*b^5-A*b^3*c^2+2*A*b*c^4-2*B*a^5+3*B*a^4*b-B*a^3*b^2-4*B*a^3*c^2-B*a^2*b^3-8*B*a^2*b*c^2+3*B*a*b^4+8*B*a*b^2*c^2-2*B*a*c^4-2*B*b^5+4*B*b^3*c^2-2*B*b*c^4-5*C*a^4*c+5*C*a^3*b*c+5*C*a^2*b^2*c+4*C*a^2*c^3-5*C*a*b^3*c-4*C*a*b*c^3)/(a^4-2*a^2*b^2+2*a^2*c^2+b^4-2*b^2*c^2+c^4)/(a^2-2*a*b+b^2)*tanh(1/2*x)+1/2*(4*A*a^4*c-3*A*a^2*b^2*c+A*a^2*c^3-A*b^4*c+A*b^2*c^3-5*B*a^3*b*c+5*B*a*b^3*c-2*B*a*b*c^3-2*C*a^5+4*C*a^3*b^2+C*a^3*c^2-2*C*a*b^4-C*a*b^2*c^2)/(a^4-2*a^2*b^2+2*a^2*c^2+b^4-2*b^2*c^2+c^4)/(a^2-2*a*b+b^2))/(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-2*c*tanh(1/2*x)-a-b)^2-2/(a^4-2*a^2*b^2+2*a^2*c^2+b^4-2*b^2*c^2+c^4)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*a^2*A-1/(a^4-2*a^2*b^2+2*a^2*c^2+b^4-2*b^2*c^2+c^4)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*A*b^2+1/(a^4-2*a^2*b^2+2*a^2*c^2+b^4-2*b^2*c^2+c^4)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*A*c^2+3/(a^4-2*a^2*b^2+2*a^2*c^2+b^4-2*b^2*c^2+c^4)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*b*B*a-3/(a^4-2*a^2*b^2+2*a^2*c^2+b^4-2*b^2*c^2+c^4)/(-a^2+b^2-c^2)^(1/2)*arctan(1/2*(2*(a-b)*tanh(1/2*x)-2*c)/(-a^2+b^2-c^2)^(1/2))*a*c*C","B"
801,1,73,22,0.274000," ","int((b^2-c^2+a*b*cosh(x)+a*c*sinh(x))/(a+b*cosh(x)+c*sinh(x))^2,x)","\frac{-\frac{2 \left(a b -b^{2}+c^{2}\right) \tanh \left(\frac{x}{2}\right)}{a -b}-\frac{2 a c}{a -b}}{a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -2 c \tanh \left(\frac{x}{2}\right)-a -b}"," ",0,"2*(-(a*b-b^2+c^2)/(a-b)*tanh(1/2*x)-a*c/(a-b))/(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-2*c*tanh(1/2*x)-a-b)","B"
802,1,136,67,0.187000," ","int((A+C*sinh(x))/(a+b*cosh(x)+b*sinh(x)),x)","-\frac{C \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2 b}-\frac{\ln \left(a \tanh \left(\frac{x}{2}\right)-\tanh \left(\frac{x}{2}\right) b -a -b \right) A}{a}+\frac{\ln \left(a \tanh \left(\frac{x}{2}\right)-\tanh \left(\frac{x}{2}\right) b -a -b \right) C}{2 b}-\frac{b \ln \left(a \tanh \left(\frac{x}{2}\right)-\tanh \left(\frac{x}{2}\right) b -a -b \right) C}{2 a^{2}}+\frac{C}{a \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right) A}{a}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right) b C}{2 a^{2}}"," ",0,"-1/2*C/b*ln(tanh(1/2*x)-1)-1/a*ln(a*tanh(1/2*x)-tanh(1/2*x)*b-a-b)*A+1/2/b*ln(a*tanh(1/2*x)-tanh(1/2*x)*b-a-b)*C-1/2/a^2*b*ln(a*tanh(1/2*x)-tanh(1/2*x)*b-a-b)*C+C/a/(tanh(1/2*x)+1)+1/a*ln(tanh(1/2*x)+1)*A+1/2/a^2*ln(tanh(1/2*x)+1)*b*C","B"
803,1,137,69,0.205000," ","int((A+B*cosh(x))/(a+b*cosh(x)+b*sinh(x)),x)","-\frac{B \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2 b}-\frac{\ln \left(a \tanh \left(\frac{x}{2}\right)-\tanh \left(\frac{x}{2}\right) b -a -b \right) A}{a}+\frac{\ln \left(a \tanh \left(\frac{x}{2}\right)-\tanh \left(\frac{x}{2}\right) b -a -b \right) B}{2 b}+\frac{b \ln \left(a \tanh \left(\frac{x}{2}\right)-\tanh \left(\frac{x}{2}\right) b -a -b \right) B}{2 a^{2}}-\frac{B}{a \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right) A}{a}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right) B b}{2 a^{2}}"," ",0,"-1/2*B/b*ln(tanh(1/2*x)-1)-1/a*ln(a*tanh(1/2*x)-tanh(1/2*x)*b-a-b)*A+1/2/b*ln(a*tanh(1/2*x)-tanh(1/2*x)*b-a-b)*B+1/2/a^2*b*ln(a*tanh(1/2*x)-tanh(1/2*x)*b-a-b)*B-B/a/(tanh(1/2*x)+1)+1/a*ln(tanh(1/2*x)+1)*A-1/2/a^2*ln(tanh(1/2*x)+1)*B*b","A"
804,1,232,80,0.194000," ","int((A+B*cosh(x)+C*sinh(x))/(a+b*cosh(x)+b*sinh(x)),x)","-\frac{B \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2 b}-\frac{C \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2 b}-\frac{\ln \left(a \tanh \left(\frac{x}{2}\right)-\tanh \left(\frac{x}{2}\right) b -a -b \right) A}{a}+\frac{\ln \left(a \tanh \left(\frac{x}{2}\right)-\tanh \left(\frac{x}{2}\right) b -a -b \right) B}{2 b}+\frac{b \ln \left(a \tanh \left(\frac{x}{2}\right)-\tanh \left(\frac{x}{2}\right) b -a -b \right) B}{2 a^{2}}+\frac{\ln \left(a \tanh \left(\frac{x}{2}\right)-\tanh \left(\frac{x}{2}\right) b -a -b \right) C}{2 b}-\frac{b \ln \left(a \tanh \left(\frac{x}{2}\right)-\tanh \left(\frac{x}{2}\right) b -a -b \right) C}{2 a^{2}}-\frac{B}{a \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{C}{a \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right) A}{a}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right) B b}{2 a^{2}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right) b C}{2 a^{2}}"," ",0,"-1/2*B/b*ln(tanh(1/2*x)-1)-1/2*C/b*ln(tanh(1/2*x)-1)-1/a*ln(a*tanh(1/2*x)-tanh(1/2*x)*b-a-b)*A+1/2/b*ln(a*tanh(1/2*x)-tanh(1/2*x)*b-a-b)*B+1/2/a^2*b*ln(a*tanh(1/2*x)-tanh(1/2*x)*b-a-b)*B+1/2/b*ln(a*tanh(1/2*x)-tanh(1/2*x)*b-a-b)*C-1/2/a^2*b*ln(a*tanh(1/2*x)-tanh(1/2*x)*b-a-b)*C-B/a/(tanh(1/2*x)+1)+C/a/(tanh(1/2*x)+1)+1/a*ln(tanh(1/2*x)+1)*A-1/2/a^2*ln(tanh(1/2*x)+1)*B*b+1/2/a^2*ln(tanh(1/2*x)+1)*b*C","B"
805,1,125,69,0.193000," ","int((A+C*sinh(x))/(a+b*cosh(x)-b*sinh(x)),x)","-\frac{C}{a \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right) A}{a}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right) b C}{2 a^{2}}-\frac{C \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2 b}+\frac{\ln \left(a \tanh \left(\frac{x}{2}\right)-\tanh \left(\frac{x}{2}\right) b +a +b \right) A}{a}+\frac{\ln \left(a \tanh \left(\frac{x}{2}\right)-\tanh \left(\frac{x}{2}\right) b +a +b \right) C}{2 b}-\frac{b \ln \left(a \tanh \left(\frac{x}{2}\right)-\tanh \left(\frac{x}{2}\right) b +a +b \right) C}{2 a^{2}}"," ",0,"-C/a/(tanh(1/2*x)-1)-1/a*ln(tanh(1/2*x)-1)*A+1/2/a^2*ln(tanh(1/2*x)-1)*b*C-1/2*C/b*ln(tanh(1/2*x)+1)+1/a*ln(a*tanh(1/2*x)-tanh(1/2*x)*b+a+b)*A+1/2/b*ln(a*tanh(1/2*x)-tanh(1/2*x)*b+a+b)*C-1/2/a^2*b*ln(a*tanh(1/2*x)-tanh(1/2*x)*b+a+b)*C","A"
806,1,125,70,0.191000," ","int((A+B*cosh(x))/(a+b*cosh(x)-b*sinh(x)),x)","-\frac{B}{a \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right) A}{a}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right) B b}{2 a^{2}}+\frac{B \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2 b}+\frac{\ln \left(a \tanh \left(\frac{x}{2}\right)-\tanh \left(\frac{x}{2}\right) b +a +b \right) A}{a}-\frac{\ln \left(a \tanh \left(\frac{x}{2}\right)-\tanh \left(\frac{x}{2}\right) b +a +b \right) B}{2 b}-\frac{b \ln \left(a \tanh \left(\frac{x}{2}\right)-\tanh \left(\frac{x}{2}\right) b +a +b \right) B}{2 a^{2}}"," ",0,"-B/a/(tanh(1/2*x)-1)-1/a*ln(tanh(1/2*x)-1)*A+1/2/a^2*ln(tanh(1/2*x)-1)*B*b+1/2*B/b*ln(tanh(1/2*x)+1)+1/a*ln(a*tanh(1/2*x)-tanh(1/2*x)*b+a+b)*A-1/2/b*ln(a*tanh(1/2*x)-tanh(1/2*x)*b+a+b)*B-1/2/a^2*b*ln(a*tanh(1/2*x)-tanh(1/2*x)*b+a+b)*B","A"
807,1,213,75,0.207000," ","int((A+B*cosh(x)+C*sinh(x))/(a+b*cosh(x)-b*sinh(x)),x)","-\frac{B}{a \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{C}{a \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right) A}{a}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right) B b}{2 a^{2}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right) b C}{2 a^{2}}+\frac{B \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2 b}-\frac{C \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2 b}+\frac{\ln \left(a \tanh \left(\frac{x}{2}\right)-\tanh \left(\frac{x}{2}\right) b +a +b \right) A}{a}-\frac{\ln \left(a \tanh \left(\frac{x}{2}\right)-\tanh \left(\frac{x}{2}\right) b +a +b \right) B}{2 b}-\frac{b \ln \left(a \tanh \left(\frac{x}{2}\right)-\tanh \left(\frac{x}{2}\right) b +a +b \right) B}{2 a^{2}}+\frac{\ln \left(a \tanh \left(\frac{x}{2}\right)-\tanh \left(\frac{x}{2}\right) b +a +b \right) C}{2 b}-\frac{b \ln \left(a \tanh \left(\frac{x}{2}\right)-\tanh \left(\frac{x}{2}\right) b +a +b \right) C}{2 a^{2}}"," ",0,"-B/a/(tanh(1/2*x)-1)-C/a/(tanh(1/2*x)-1)-1/a*ln(tanh(1/2*x)-1)*A+1/2/a^2*ln(tanh(1/2*x)-1)*B*b+1/2/a^2*ln(tanh(1/2*x)-1)*b*C+1/2*B/b*ln(tanh(1/2*x)+1)-1/2*C/b*ln(tanh(1/2*x)+1)+1/a*ln(a*tanh(1/2*x)-tanh(1/2*x)*b+a+b)*A-1/2/b*ln(a*tanh(1/2*x)-tanh(1/2*x)*b+a+b)*B-1/2/a^2*b*ln(a*tanh(1/2*x)-tanh(1/2*x)*b+a+b)*B+1/2/b*ln(a*tanh(1/2*x)-tanh(1/2*x)*b+a+b)*C-1/2/a^2*b*ln(a*tanh(1/2*x)-tanh(1/2*x)*b+a+b)*C","B"
808,1,116,3,0.232000," ","int(1/(cosh(x)^2+sinh(x)^2),x)","\frac{2 \sqrt{2}\, \arctan \left(\frac{2 \tanh \left(\frac{x}{2}\right)}{-2+2 \sqrt{2}}\right)}{-2+2 \sqrt{2}}-\frac{2 \arctan \left(\frac{2 \tanh \left(\frac{x}{2}\right)}{-2+2 \sqrt{2}}\right)}{-2+2 \sqrt{2}}-\frac{2 \sqrt{2}\, \arctan \left(\frac{2 \tanh \left(\frac{x}{2}\right)}{2+2 \sqrt{2}}\right)}{2+2 \sqrt{2}}-\frac{2 \arctan \left(\frac{2 \tanh \left(\frac{x}{2}\right)}{2+2 \sqrt{2}}\right)}{2+2 \sqrt{2}}"," ",0,"2*2^(1/2)/(-2+2*2^(1/2))*arctan(2*tanh(1/2*x)/(-2+2*2^(1/2)))-2/(-2+2*2^(1/2))*arctan(2*tanh(1/2*x)/(-2+2*2^(1/2)))-2*2^(1/2)/(2+2*2^(1/2))*arctan(2*tanh(1/2*x)/(2+2*2^(1/2)))-2/(2+2*2^(1/2))*arctan(2*tanh(1/2*x)/(2+2*2^(1/2)))","B"
809,1,36,11,0.192000," ","int(1/(cosh(x)^2+sinh(x)^2)^2,x)","-\frac{2 \left(-\left(\tanh^{3}\left(\frac{x}{2}\right)\right)-\tanh \left(\frac{x}{2}\right)\right)}{\tanh^{4}\left(\frac{x}{2}\right)+6 \left(\tanh^{2}\left(\frac{x}{2}\right)\right)+1}"," ",0,"-2*(-tanh(1/2*x)^3-tanh(1/2*x))/(tanh(1/2*x)^4+6*tanh(1/2*x)^2+1)","B"
810,1,166,22,0.234000," ","int(1/(cosh(x)^2+sinh(x)^2)^3,x)","-\frac{2 \left(-\frac{\left(\tanh^{7}\left(\frac{x}{2}\right)\right)}{2}+\frac{\left(\tanh^{5}\left(\frac{x}{2}\right)\right)}{2}+\frac{\left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{2}-\frac{\tanh \left(\frac{x}{2}\right)}{2}\right)}{\left(\tanh^{4}\left(\frac{x}{2}\right)+6 \left(\tanh^{2}\left(\frac{x}{2}\right)\right)+1\right)^{2}}+\frac{\sqrt{2}\, \arctan \left(\frac{2 \tanh \left(\frac{x}{2}\right)}{-2+2 \sqrt{2}}\right)}{-2+2 \sqrt{2}}-\frac{\arctan \left(\frac{2 \tanh \left(\frac{x}{2}\right)}{-2+2 \sqrt{2}}\right)}{-2+2 \sqrt{2}}-\frac{\sqrt{2}\, \arctan \left(\frac{2 \tanh \left(\frac{x}{2}\right)}{2+2 \sqrt{2}}\right)}{2+2 \sqrt{2}}-\frac{\arctan \left(\frac{2 \tanh \left(\frac{x}{2}\right)}{2+2 \sqrt{2}}\right)}{2+2 \sqrt{2}}"," ",0,"-2*(-1/2*tanh(1/2*x)^7+1/2*tanh(1/2*x)^5+1/2*tanh(1/2*x)^3-1/2*tanh(1/2*x))/(tanh(1/2*x)^4+6*tanh(1/2*x)^2+1)^2+2^(1/2)/(-2+2*2^(1/2))*arctan(2*tanh(1/2*x)/(-2+2*2^(1/2)))-1/(-2+2*2^(1/2))*arctan(2*tanh(1/2*x)/(-2+2*2^(1/2)))-2^(1/2)/(2+2*2^(1/2))*arctan(2*tanh(1/2*x)/(2+2*2^(1/2)))-1/(2+2*2^(1/2))*arctan(2*tanh(1/2*x)/(2+2*2^(1/2)))","B"
811,1,8,1,0.099000," ","int(1/(cosh(x)^2-sinh(x)^2),x)","2 \arctanh \left(\tanh \left(\frac{x}{2}\right)\right)"," ",0,"2*arctanh(tanh(1/2*x))","C"
812,1,8,1,0.105000," ","int(1/(cosh(x)^2-sinh(x)^2)^2,x)","2 \arctanh \left(\tanh \left(\frac{x}{2}\right)\right)"," ",0,"2*arctanh(tanh(1/2*x))","C"
813,1,8,1,0.104000," ","int(1/(cosh(x)^2-sinh(x)^2)^3,x)","2 \arctanh \left(\tanh \left(\frac{x}{2}\right)\right)"," ",0,"2*arctanh(tanh(1/2*x))","C"
814,1,8,1,0.112000," ","int(1/(sech(x)^2+tanh(x)^2),x)","2 \arctanh \left(\tanh \left(\frac{x}{2}\right)\right)"," ",0,"2*arctanh(tanh(1/2*x))","C"
815,1,8,1,0.133000," ","int(1/(sech(x)^2+tanh(x)^2)^2,x)","2 \arctanh \left(\tanh \left(\frac{x}{2}\right)\right)"," ",0,"2*arctanh(tanh(1/2*x))","C"
816,1,8,1,0.122000," ","int(1/(sech(x)^2+tanh(x)^2)^3,x)","2 \arctanh \left(\tanh \left(\frac{x}{2}\right)\right)"," ",0,"2*arctanh(tanh(1/2*x))","C"
817,1,54,15,0.219000," ","int(1/(sech(x)^2-tanh(x)^2),x)","\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)-\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)+\sqrt{2}\, \arctanh \left(\frac{\left(2 \tanh \left(\frac{x}{2}\right)-2\right) \sqrt{2}}{4}\right)+\sqrt{2}\, \arctanh \left(\frac{\left(2 \tanh \left(\frac{x}{2}\right)+2\right) \sqrt{2}}{4}\right)"," ",0,"ln(tanh(1/2*x)-1)-ln(tanh(1/2*x)+1)+2^(1/2)*arctanh(1/4*(2*tanh(1/2*x)-2)*2^(1/2))+2^(1/2)*arctanh(1/4*(2*tanh(1/2*x)+2)*2^(1/2))","B"
818,1,108,27,0.245000," ","int(1/(sech(x)^2-tanh(x)^2)^2,x)","\frac{2 \tanh \left(\frac{x}{2}\right)+2}{2 \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-4 \tanh \left(\frac{x}{2}\right)-2}-\frac{\sqrt{2}\, \arctanh \left(\frac{\left(2 \tanh \left(\frac{x}{2}\right)-2\right) \sqrt{2}}{4}\right)}{2}-\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)+\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)-\frac{2-2 \tanh \left(\frac{x}{2}\right)}{2 \left(\tanh^{2}\left(\frac{x}{2}\right)+2 \tanh \left(\frac{x}{2}\right)-1\right)}-\frac{\sqrt{2}\, \arctanh \left(\frac{\left(2 \tanh \left(\frac{x}{2}\right)+2\right) \sqrt{2}}{4}\right)}{2}"," ",0,"1/2*(2*tanh(1/2*x)+2)/(tanh(1/2*x)^2-2*tanh(1/2*x)-1)-1/2*2^(1/2)*arctanh(1/4*(2*tanh(1/2*x)-2)*2^(1/2))-ln(tanh(1/2*x)-1)+ln(tanh(1/2*x)+1)-1/2*(2-2*tanh(1/2*x))/(tanh(1/2*x)^2+2*tanh(1/2*x)-1)-1/2*2^(1/2)*arctanh(1/4*(2*tanh(1/2*x)+2)*2^(1/2))","B"
819,1,140,44,0.249000," ","int(1/(sech(x)^2-tanh(x)^2)^3,x)","\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)-\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)-\frac{2 \left(-\frac{\left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{8}-\frac{\left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{8}-\frac{5 \tanh \left(\frac{x}{2}\right)}{8}-\frac{1}{8}\right)}{\left(\tanh^{2}\left(\frac{x}{2}\right)-2 \tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{7 \sqrt{2}\, \arctanh \left(\frac{\left(2 \tanh \left(\frac{x}{2}\right)-2\right) \sqrt{2}}{4}\right)}{8}-\frac{2 \left(-\frac{\left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{8}+\frac{\left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{8}-\frac{5 \tanh \left(\frac{x}{2}\right)}{8}+\frac{1}{8}\right)}{\left(\tanh^{2}\left(\frac{x}{2}\right)+2 \tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{7 \sqrt{2}\, \arctanh \left(\frac{\left(2 \tanh \left(\frac{x}{2}\right)+2\right) \sqrt{2}}{4}\right)}{8}"," ",0,"ln(tanh(1/2*x)-1)-ln(tanh(1/2*x)+1)-2*(-1/8*tanh(1/2*x)^3-1/8*tanh(1/2*x)^2-5/8*tanh(1/2*x)-1/8)/(tanh(1/2*x)^2-2*tanh(1/2*x)-1)^2+7/8*2^(1/2)*arctanh(1/4*(2*tanh(1/2*x)-2)*2^(1/2))-2*(-1/8*tanh(1/2*x)^3+1/8*tanh(1/2*x)^2-5/8*tanh(1/2*x)+1/8)/(tanh(1/2*x)^2+2*tanh(1/2*x)-1)^2+7/8*2^(1/2)*arctanh(1/4*(2*tanh(1/2*x)+2)*2^(1/2))","B"
820,1,102,15,0.213000," ","int(1/(coth(x)^2+csch(x)^2),x)","-\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)-\frac{\sqrt{2}\, \ln \left(\frac{\tanh^{2}\left(\frac{x}{2}\right)+\sqrt{2}\, \tanh \left(\frac{x}{2}\right)+1}{\tanh^{2}\left(\frac{x}{2}\right)-\sqrt{2}\, \tanh \left(\frac{x}{2}\right)+1}\right)}{4}+\frac{\sqrt{2}\, \ln \left(\frac{\tanh^{2}\left(\frac{x}{2}\right)-\sqrt{2}\, \tanh \left(\frac{x}{2}\right)+1}{\tanh^{2}\left(\frac{x}{2}\right)+\sqrt{2}\, \tanh \left(\frac{x}{2}\right)+1}\right)}{4}+\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)"," ",0,"-ln(tanh(1/2*x)-1)-1/4*2^(1/2)*ln((tanh(1/2*x)^2+2^(1/2)*tanh(1/2*x)+1)/(tanh(1/2*x)^2-2^(1/2)*tanh(1/2*x)+1))+1/4*2^(1/2)*ln((tanh(1/2*x)^2-2^(1/2)*tanh(1/2*x)+1)/(tanh(1/2*x)^2+2^(1/2)*tanh(1/2*x)+1))+ln(tanh(1/2*x)+1)","B"
821,1,129,29,0.229000," ","int(1/(coth(x)^2+csch(x)^2)^2,x)","-\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)+\frac{-\left(\tanh^{3}\left(\frac{x}{2}\right)\right)-\tanh \left(\frac{x}{2}\right)}{\tanh^{4}\left(\frac{x}{2}\right)+1}-\frac{\sqrt{2}\, \ln \left(\frac{\tanh^{2}\left(\frac{x}{2}\right)+\sqrt{2}\, \tanh \left(\frac{x}{2}\right)+1}{\tanh^{2}\left(\frac{x}{2}\right)-\sqrt{2}\, \tanh \left(\frac{x}{2}\right)+1}\right)}{8}+\frac{\sqrt{2}\, \ln \left(\frac{\tanh^{2}\left(\frac{x}{2}\right)-\sqrt{2}\, \tanh \left(\frac{x}{2}\right)+1}{\tanh^{2}\left(\frac{x}{2}\right)+\sqrt{2}\, \tanh \left(\frac{x}{2}\right)+1}\right)}{8}+\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)"," ",0,"-ln(tanh(1/2*x)-1)+2*(-1/2*tanh(1/2*x)^3-1/2*tanh(1/2*x))/(tanh(1/2*x)^4+1)-1/8*2^(1/2)*ln((tanh(1/2*x)^2+2^(1/2)*tanh(1/2*x)+1)/(tanh(1/2*x)^2-2^(1/2)*tanh(1/2*x)+1))+1/8*2^(1/2)*ln((tanh(1/2*x)^2-2^(1/2)*tanh(1/2*x)+1)/(tanh(1/2*x)^2+2^(1/2)*tanh(1/2*x)+1))+ln(tanh(1/2*x)+1)","B"
822,1,145,45,0.231000," ","int(1/(coth(x)^2+csch(x)^2)^3,x)","-\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)+\frac{-\frac{\left(\tanh^{7}\left(\frac{x}{2}\right)\right)}{4}-\frac{5 \left(\tanh^{5}\left(\frac{x}{2}\right)\right)}{4}-\frac{5 \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{4}-\frac{\tanh \left(\frac{x}{2}\right)}{4}}{\left(\tanh^{4}\left(\frac{x}{2}\right)+1\right)^{2}}-\frac{7 \sqrt{2}\, \ln \left(\frac{\tanh^{2}\left(\frac{x}{2}\right)+\sqrt{2}\, \tanh \left(\frac{x}{2}\right)+1}{\tanh^{2}\left(\frac{x}{2}\right)-\sqrt{2}\, \tanh \left(\frac{x}{2}\right)+1}\right)}{32}+\frac{7 \sqrt{2}\, \ln \left(\frac{\tanh^{2}\left(\frac{x}{2}\right)-\sqrt{2}\, \tanh \left(\frac{x}{2}\right)+1}{\tanh^{2}\left(\frac{x}{2}\right)+\sqrt{2}\, \tanh \left(\frac{x}{2}\right)+1}\right)}{32}+\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)"," ",0,"-ln(tanh(1/2*x)-1)+2*(-1/8*tanh(1/2*x)^7-5/8*tanh(1/2*x)^5-5/8*tanh(1/2*x)^3-1/8*tanh(1/2*x))/(tanh(1/2*x)^4+1)^2-7/32*2^(1/2)*ln((tanh(1/2*x)^2+2^(1/2)*tanh(1/2*x)+1)/(tanh(1/2*x)^2-2^(1/2)*tanh(1/2*x)+1))+7/32*2^(1/2)*ln((tanh(1/2*x)^2-2^(1/2)*tanh(1/2*x)+1)/(tanh(1/2*x)^2+2^(1/2)*tanh(1/2*x)+1))+ln(tanh(1/2*x)+1)","B"
823,1,8,1,0.111000," ","int(1/(coth(x)^2-csch(x)^2),x)","2 \arctanh \left(\tanh \left(\frac{x}{2}\right)\right)"," ",0,"2*arctanh(tanh(1/2*x))","C"
824,1,8,1,0.126000," ","int(1/(coth(x)^2-csch(x)^2)^2,x)","2 \arctanh \left(\tanh \left(\frac{x}{2}\right)\right)"," ",0,"2*arctanh(tanh(1/2*x))","C"
825,1,8,1,0.125000," ","int(1/(coth(x)^2-csch(x)^2)^3,x)","2 \arctanh \left(\tanh \left(\frac{x}{2}\right)\right)"," ",0,"2*arctanh(tanh(1/2*x))","C"
826,1,74,227,0.237000," ","int(1/(a+b*sinh(x)+c*sinh(x)^2),x)","\munderset{\textit{\_R} =\RootOf \left(a \,\textit{\_Z}^{4}-2 b \,\textit{\_Z}^{3}+\left(-2 a +4 c \right) \textit{\_Z}^{2}+2 b \textit{\_Z} +a \right)}{\sum}\frac{\left(-\textit{\_R}^{2}+1\right) \ln \left(\tanh \left(\frac{x}{2}\right)-\textit{\_R} \right)}{2 \textit{\_R}^{3} a -3 b \,\textit{\_R}^{2}-2 \textit{\_R} a +4 \textit{\_R} c +b}"," ",0,"sum((-_R^2+1)/(2*_R^3*a-3*_R^2*b-2*_R*a+4*_R*c+b)*ln(tanh(1/2*x)-_R),_R=RootOf(a*_Z^4-2*b*_Z^3+(-2*a+4*c)*_Z^2+2*b*_Z+a))","C"
827,1,70,234,0.237000," ","int(sinh(x)/(a+b*sinh(x)+c*sinh(x)^2),x)","2 \left(\munderset{\textit{\_R} =\RootOf \left(a \,\textit{\_Z}^{4}-2 b \,\textit{\_Z}^{3}+\left(-2 a +4 c \right) \textit{\_Z}^{2}+2 b \textit{\_Z} +a \right)}{\sum}\frac{\textit{\_R} \ln \left(\tanh \left(\frac{x}{2}\right)-\textit{\_R} \right)}{2 \textit{\_R}^{3} a -3 b \,\textit{\_R}^{2}-2 \textit{\_R} a +4 \textit{\_R} c +b}\right)"," ",0,"2*sum(_R/(2*_R^3*a-3*_R^2*b-2*_R*a+4*_R*c+b)*ln(tanh(1/2*x)-_R),_R=RootOf(a*_Z^4-2*b*_Z^3+(-2*a+4*c)*_Z^2+2*b*_Z+a))","C"
828,1,108,266,0.250000," ","int(sinh(x)^2/(a+b*sinh(x)+c*sinh(x)^2),x)","-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{c}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{c}+\frac{\munderset{\textit{\_R} =\RootOf \left(a \,\textit{\_Z}^{4}-2 b \,\textit{\_Z}^{3}+\left(-2 a +4 c \right) \textit{\_Z}^{2}+2 b \textit{\_Z} +a \right)}{\sum}\frac{\left(\textit{\_R}^{2} a -2 \textit{\_R} b -a \right) \ln \left(\tanh \left(\frac{x}{2}\right)-\textit{\_R} \right)}{2 \textit{\_R}^{3} a -3 b \,\textit{\_R}^{2}-2 \textit{\_R} a +4 \textit{\_R} c +b}}{c}"," ",0,"-1/c*ln(tanh(1/2*x)-1)+1/c*ln(tanh(1/2*x)+1)+1/c*sum((_R^2*a-2*_R*b-a)/(2*_R^3*a-3*_R^2*b-2*_R*a+4*_R*c+b)*ln(tanh(1/2*x)-_R),_R=RootOf(a*_Z^4-2*b*_Z^3+(-2*a+4*c)*_Z^2+2*b*_Z+a))","C"
829,1,144,311,0.233000," ","int(sinh(x)^3/(a+b*sinh(x)+c*sinh(x)^2),x)","-\frac{1}{c \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{b \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{c^{2}}+\frac{1}{c \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{b \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{c^{2}}+\frac{\munderset{\textit{\_R} =\RootOf \left(a \,\textit{\_Z}^{4}-2 b \,\textit{\_Z}^{3}+\left(-2 a +4 c \right) \textit{\_Z}^{2}+2 b \textit{\_Z} +a \right)}{\sum}\frac{\left(-\textit{\_R}^{2} a b +2 \left(-a c +b^{2}\right) \textit{\_R} +a b \right) \ln \left(\tanh \left(\frac{x}{2}\right)-\textit{\_R} \right)}{2 \textit{\_R}^{3} a -3 b \,\textit{\_R}^{2}-2 \textit{\_R} a +4 \textit{\_R} c +b}}{c^{2}}"," ",0,"-1/c/(tanh(1/2*x)-1)+b/c^2*ln(tanh(1/2*x)-1)+1/c/(tanh(1/2*x)+1)-b/c^2*ln(tanh(1/2*x)+1)+1/c^2*sum((-_R^2*a*b+2*(-a*c+b^2)*_R+a*b)/(2*_R^3*a-3*_R^2*b-2*_R*a+4*_R*c+b)*ln(tanh(1/2*x)-_R),_R=RootOf(a*_Z^4-2*b*_Z^3+(-2*a+4*c)*_Z^2+2*b*_Z+a))","C"
830,1,36,12,0.171000," ","int((a+b*sinh(x))/(b^2-2*a*b*sinh(x)+a^2*sinh(x)^2),x)","-\frac{2 \left(-\frac{a \tanh \left(\frac{x}{2}\right)}{b}+1\right)}{\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +2 a \tanh \left(\frac{x}{2}\right)-b}"," ",0,"-2*(-a/b*tanh(1/2*x)+1)/(tanh(1/2*x)^2*b+2*a*tanh(1/2*x)-b)","B"
831,1,79,252,0.263000," ","int((d+e*sinh(x))/(a+b*sinh(x)+c*sinh(x)^2),x)","\munderset{\textit{\_R} =\RootOf \left(a \,\textit{\_Z}^{4}-2 b \,\textit{\_Z}^{3}+\left(-2 a +4 c \right) \textit{\_Z}^{2}+2 b \textit{\_Z} +a \right)}{\sum}\frac{\left(-\textit{\_R}^{2} d +2 \textit{\_R} e +d \right) \ln \left(\tanh \left(\frac{x}{2}\right)-\textit{\_R} \right)}{2 \textit{\_R}^{3} a -3 b \,\textit{\_R}^{2}-2 \textit{\_R} a +4 \textit{\_R} c +b}"," ",0,"sum((-_R^2*d+2*_R*e+d)/(2*_R^3*a-3*_R^2*b-2*_R*a+4*_R*c+b)*ln(tanh(1/2*x)-_R),_R=RootOf(a*_Z^4-2*b*_Z^3+(-2*a+4*c)*_Z^2+2*b*_Z+a))","C"
832,1,1264,183,0.190000," ","int(1/(a+b*cosh(x)+c*cosh(x)^2),x)","-\frac{a \arctanh \left(\frac{\left(-a +b -c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}\right) b}{\sqrt{-4 a c +b^{2}}\, \left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}+\frac{2 a \arctanh \left(\frac{\left(-a +b -c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}\right) c}{\sqrt{-4 a c +b^{2}}\, \left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}-\frac{a \arctanh \left(\frac{\left(-a +b -c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}\right)}{\left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}+\frac{a \arctan \left(\frac{\left(a -b +c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}\right) b}{\sqrt{-4 a c +b^{2}}\, \left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}-\frac{2 a \arctan \left(\frac{\left(a -b +c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}\right) c}{\sqrt{-4 a c +b^{2}}\, \left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}-\frac{a \arctan \left(\frac{\left(a -b +c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}\right)}{\left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}+\frac{\arctanh \left(\frac{\left(-a +b -c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}\right) b^{2}}{\sqrt{-4 a c +b^{2}}\, \left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}-\frac{3 b \arctanh \left(\frac{\left(-a +b -c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}\right) c}{\sqrt{-4 a c +b^{2}}\, \left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}+\frac{b \arctanh \left(\frac{\left(-a +b -c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}\right)}{\left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}-\frac{\arctan \left(\frac{\left(a -b +c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}\right) b^{2}}{\sqrt{-4 a c +b^{2}}\, \left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}+\frac{3 b \arctan \left(\frac{\left(a -b +c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}\right) c}{\sqrt{-4 a c +b^{2}}\, \left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}+\frac{b \arctan \left(\frac{\left(a -b +c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}\right)}{\left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}+\frac{2 \arctanh \left(\frac{\left(-a +b -c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}\right) c^{2}}{\sqrt{-4 a c +b^{2}}\, \left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}-\frac{c \arctanh \left(\frac{\left(-a +b -c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}\right)}{\left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}-\frac{2 \arctan \left(\frac{\left(a -b +c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}\right) c^{2}}{\sqrt{-4 a c +b^{2}}\, \left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}-\frac{c \arctan \left(\frac{\left(a -b +c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}\right)}{\left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}"," ",0,"-a/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))*b+2*a/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))*c-a/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))+a/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))*b-2*a/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))*c-a/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))+1/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))*b^2-3*b/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))*c+b/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))-1/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))*b^2+3*b/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))*c+b/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))+2/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))*c^2-c/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))-2/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))*c^2-c/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))","B"
833,1,1262,190,0.145000," ","int(cosh(x)/(a+b*cosh(x)+c*cosh(x)^2),x)","\frac{a \arctanh \left(\frac{\left(-a +b -c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}\right)}{\left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}+\frac{2 \arctanh \left(\frac{\left(-a +b -c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}\right) a^{2}}{\sqrt{-4 a c +b^{2}}\, \left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}-\frac{3 a \arctanh \left(\frac{\left(-a +b -c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}\right) b}{\sqrt{-4 a c +b^{2}}\, \left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}-\frac{2 \arctan \left(\frac{\left(a -b +c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}\right) a^{2}}{\sqrt{-4 a c +b^{2}}\, \left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}+\frac{3 a \arctan \left(\frac{\left(a -b +c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}\right) b}{\sqrt{-4 a c +b^{2}}\, \left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}+\frac{a \arctan \left(\frac{\left(a -b +c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}\right)}{\left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}-\frac{b \arctanh \left(\frac{\left(-a +b -c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}\right)}{\left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}+\frac{\arctanh \left(\frac{\left(-a +b -c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}\right) b^{2}}{\sqrt{-4 a c +b^{2}}\, \left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}-\frac{\arctan \left(\frac{\left(a -b +c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}\right) b^{2}}{\sqrt{-4 a c +b^{2}}\, \left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}-\frac{b \arctan \left(\frac{\left(a -b +c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}\right)}{\left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}+\frac{c \arctanh \left(\frac{\left(-a +b -c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}\right)}{\left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}+\frac{2 a \arctanh \left(\frac{\left(-a +b -c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}\right) c}{\sqrt{-4 a c +b^{2}}\, \left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}-\frac{b \arctanh \left(\frac{\left(-a +b -c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}\right) c}{\sqrt{-4 a c +b^{2}}\, \left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}-\frac{2 a \arctan \left(\frac{\left(a -b +c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}\right) c}{\sqrt{-4 a c +b^{2}}\, \left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}+\frac{b \arctan \left(\frac{\left(a -b +c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}\right) c}{\sqrt{-4 a c +b^{2}}\, \left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}+\frac{c \arctan \left(\frac{\left(a -b +c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}\right)}{\left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}"," ",0,"a/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))+2/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))*a^2-3*a/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))*b-2/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))*a^2+3*a/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))*b+a/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))-b/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))+1/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))*b^2-1/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))*b^2-b/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))+c/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))+2*a/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))*c-b/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))*c-2*a/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))*c+b/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))*c+c/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))","B"
834,1,1957,216,0.155000," ","int(cosh(x)^2/(a+b*cosh(x)+c*cosh(x)^2),x)","-\frac{\arctanh \left(\frac{\left(-a +b -c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}\right) a^{2} b}{c \sqrt{-4 a c +b^{2}}\, \left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}+\frac{2 a \arctanh \left(\frac{\left(-a +b -c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}\right) b^{2}}{c \sqrt{-4 a c +b^{2}}\, \left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}+\frac{\arctan \left(\frac{\left(a -b +c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}\right) a^{2} b}{c \sqrt{-4 a c +b^{2}}\, \left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}-\frac{2 a \arctan \left(\frac{\left(a -b +c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}\right) b^{2}}{c \sqrt{-4 a c +b^{2}}\, \left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}+\frac{a \arctan \left(\frac{\left(a -b +c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}\right)}{\left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}-\frac{b \arctan \left(\frac{\left(a -b +c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}\right)}{\left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}+\frac{a \arctanh \left(\frac{\left(-a +b -c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}\right)}{\left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}-\frac{b \arctanh \left(\frac{\left(-a +b -c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}\right)}{\left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}-\frac{a \arctan \left(\frac{\left(a -b +c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}\right) b}{\sqrt{-4 a c +b^{2}}\, \left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}+\frac{2 a \arctan \left(\frac{\left(a -b +c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}\right) c}{\sqrt{-4 a c +b^{2}}\, \left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}+\frac{\arctan \left(\frac{\left(a -b +c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}\right) a^{2}}{c \left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}+\frac{\arctan \left(\frac{\left(a -b +c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}\right) b^{2}}{c \left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}+\frac{2 \arctan \left(\frac{\left(a -b +c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}\right) a^{2}}{\sqrt{-4 a c +b^{2}}\, \left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{c}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{c}-\frac{2 \arctanh \left(\frac{\left(-a +b -c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}\right) a^{2}}{\sqrt{-4 a c +b^{2}}\, \left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}+\frac{\arctanh \left(\frac{\left(-a +b -c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}\right) a^{2}}{c \left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}+\frac{\arctanh \left(\frac{\left(-a +b -c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}\right) b^{2}}{c \left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}-\frac{2 a \arctan \left(\frac{\left(a -b +c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}\right) b}{c \left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}+\frac{\arctan \left(\frac{\left(a -b +c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}\right) b^{3}}{c \sqrt{-4 a c +b^{2}}\, \left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}-\frac{2 a \arctanh \left(\frac{\left(-a +b -c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}\right) b}{c \left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}-\frac{\arctanh \left(\frac{\left(-a +b -c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}\right) b^{3}}{c \sqrt{-4 a c +b^{2}}\, \left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}-\frac{\arctan \left(\frac{\left(a -b +c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}\right) b^{2}}{\sqrt{-4 a c +b^{2}}\, \left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}-a +c \right) \left(a -b +c \right)}}+\frac{\arctanh \left(\frac{\left(-a +b -c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}\right) b^{2}}{\sqrt{-4 a c +b^{2}}\, \left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}+\frac{a \arctanh \left(\frac{\left(-a +b -c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}\right) b}{\sqrt{-4 a c +b^{2}}\, \left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}-\frac{2 a \arctanh \left(\frac{\left(-a +b -c \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}\right) c}{\sqrt{-4 a c +b^{2}}\, \left(a -b +c \right) \sqrt{\left(\sqrt{-4 a c +b^{2}}+a -c \right) \left(a -b +c \right)}}"," ",0,"1/c/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))*a^2*b-2/c*a/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))*b^2-1/c/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))*a^2*b+2/c*a/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))*b^2-2/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))*a^2+a/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))-b/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))-b/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))+a/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))-a/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))*b+2*a/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))*c+1/c/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))*a^2+1/c/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))*a^2+1/c/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))*b^2+1/c/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))*b^2+2/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))*a^2-1/c*ln(tanh(1/2*x)-1)+1/c*ln(tanh(1/2*x)+1)-2/c*a/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))*b-2/c*a/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))*b-1/c/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))*b^3+1/c/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))*b^3+1/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))*b^2-1/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))*b^2+a/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))*b-2*a/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))*c","B"
835,1,2530,255,0.175000," ","int(cosh(x)^3/(a+b*cosh(x)+c*cosh(x)^2),x)","\text{Expression too large to display}"," ",0,"-5/c/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))*a^2*b+2/c*a/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))*b^2+5/c/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))*a^2*b-2/c*a/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))*b^2-2/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))*a^2-a/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))-a/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))-3*a/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))*b-2/c^2*a/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))*b^3+1/c^2/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))*a^2*b^2-1/c^2/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))*a^2*b^2+2/c^2*a/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))*b^3-1/c^2/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))*b^3+b/c^2*ln(tanh(1/2*x)-1)-b/c^2*ln(tanh(1/2*x)+1)-1/c/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))*a^2-1/c/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))*a^2+1/c/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))*b^2+1/c/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))*b^2+2/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))*a^2-1/c^2/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))*b^3-1/c/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))*b^3+1/c/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))*b^3+3*a/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))*b-1/c/(tanh(1/2*x)-1)-1/c/(tanh(1/2*x)+1)-1/c^2/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))*a^2*b+2/c^2*a/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))*b^2-1/c^2/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))*a^2*b+2/c/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))*a^3+2/c^2*a/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))*b^2+1/c^2/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))*b^4-1/c^2/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))*b^4-2/c/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))*a^3","B"
836,1,29,11,0.161000," ","int((a+b*cosh(x))/(b^2+2*a*b*cosh(x)+a^2*cosh(x)^2),x)","\frac{2 \tanh \left(\frac{x}{2}\right)}{a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +a +b}"," ",0,"2*tanh(1/2*x)/(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b+a+b)","B"
837,1,2556,204,0.155000," ","int((d+e*cosh(x))/(a+b*cosh(x)+c*cosh(x)^2),x)","\text{Expression too large to display}"," ",0,"-a/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))*b*d-3*a/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))*b*e+2*a/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))*c*d+a/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))*b*d+3*a/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))*b*e-2*a/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))*c*d-2*c/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))*e*a+c/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))*b*e+2*c/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))*e*a-c/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))*b*e-3*b/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))*c*d+3*b/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))*c*d+a/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))*e-c/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))*d+c/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))*e+1/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))*b^2*e-1/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))*b^2*d-1/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))*b^2*e+2/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))*c^2*d-a/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))*d+a/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))*e+b/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))*d-b/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))*e+b/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))*d-b/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))*e-c/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))*d+c/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))*e-a/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))*d-2/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))*c^2*d+2/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))*e*a^2-2/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2)*arctan((a-b+c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)-a+c)*(a-b+c))^(1/2))*e*a^2+1/(-4*a*c+b^2)^(1/2)/(a-b+c)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2)*arctanh((-a+b-c)*tanh(1/2*x)/(((-4*a*c+b^2)^(1/2)+a-c)*(a-b+c))^(1/2))*b^2*d","B"
838,1,414,31,0.200000," ","int(sinh(x)^2/(a*cosh(x)^2+b*sinh(x)^2),x)","-\frac{8 \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{8 a +8 b}+\frac{8 \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{8 a +8 b}+\frac{4 a^{2} \arctanh \left(\frac{a \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(2 \sqrt{b \left(a +b \right)}-a -2 b \right) a}}\right)}{\left(4 a +4 b \right) \sqrt{b \left(a +b \right)}\, \sqrt{\left(2 \sqrt{b \left(a +b \right)}-a -2 b \right) a}}-\frac{4 a \arctanh \left(\frac{a \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(2 \sqrt{b \left(a +b \right)}-a -2 b \right) a}}\right)}{\left(4 a +4 b \right) \sqrt{\left(2 \sqrt{b \left(a +b \right)}-a -2 b \right) a}}+\frac{4 a \arctanh \left(\frac{a \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(2 \sqrt{b \left(a +b \right)}-a -2 b \right) a}}\right) b}{\left(4 a +4 b \right) \sqrt{b \left(a +b \right)}\, \sqrt{\left(2 \sqrt{b \left(a +b \right)}-a -2 b \right) a}}+\frac{4 a^{2} \arctan \left(\frac{a \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(2 \sqrt{b \left(a +b \right)}+a +2 b \right) a}}\right)}{\left(4 a +4 b \right) \sqrt{b \left(a +b \right)}\, \sqrt{\left(2 \sqrt{b \left(a +b \right)}+a +2 b \right) a}}+\frac{4 a \arctan \left(\frac{a \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(2 \sqrt{b \left(a +b \right)}+a +2 b \right) a}}\right)}{\left(4 a +4 b \right) \sqrt{\left(2 \sqrt{b \left(a +b \right)}+a +2 b \right) a}}+\frac{4 a \arctan \left(\frac{a \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(2 \sqrt{b \left(a +b \right)}+a +2 b \right) a}}\right) b}{\left(4 a +4 b \right) \sqrt{b \left(a +b \right)}\, \sqrt{\left(2 \sqrt{b \left(a +b \right)}+a +2 b \right) a}}"," ",0,"-8/(8*a+8*b)*ln(tanh(1/2*x)-1)+8/(8*a+8*b)*ln(tanh(1/2*x)+1)+4*a^2/(4*a+4*b)/(b*(a+b))^(1/2)/((2*(b*(a+b))^(1/2)-a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*x)/((2*(b*(a+b))^(1/2)-a-2*b)*a)^(1/2))-4*a/(4*a+4*b)/((2*(b*(a+b))^(1/2)-a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*x)/((2*(b*(a+b))^(1/2)-a-2*b)*a)^(1/2))+4*a/(4*a+4*b)/(b*(a+b))^(1/2)/((2*(b*(a+b))^(1/2)-a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*x)/((2*(b*(a+b))^(1/2)-a-2*b)*a)^(1/2))*b+4*a^2/(4*a+4*b)/(b*(a+b))^(1/2)/((2*(b*(a+b))^(1/2)+a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*x)/((2*(b*(a+b))^(1/2)+a+2*b)*a)^(1/2))+4*a/(4*a+4*b)/((2*(b*(a+b))^(1/2)+a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*x)/((2*(b*(a+b))^(1/2)+a+2*b)*a)^(1/2))+4*a/(4*a+4*b)/(b*(a+b))^(1/2)/((2*(b*(a+b))^(1/2)+a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*x)/((2*(b*(a+b))^(1/2)+a+2*b)*a)^(1/2))*b","B"
839,1,389,30,0.212000," ","int(cosh(x)^2/(a*cosh(x)^2+b*sinh(x)^2),x)","-\frac{2 \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2 b +2 a}+\frac{2 \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2 b +2 a}-\frac{b a \arctanh \left(\frac{a \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(2 \sqrt{b \left(a +b \right)}-a -2 b \right) a}}\right)}{\left(a +b \right) \sqrt{b \left(a +b \right)}\, \sqrt{\left(2 \sqrt{b \left(a +b \right)}-a -2 b \right) a}}+\frac{b \arctanh \left(\frac{a \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(2 \sqrt{b \left(a +b \right)}-a -2 b \right) a}}\right)}{\left(a +b \right) \sqrt{\left(2 \sqrt{b \left(a +b \right)}-a -2 b \right) a}}-\frac{b^{2} \arctanh \left(\frac{a \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(2 \sqrt{b \left(a +b \right)}-a -2 b \right) a}}\right)}{\left(a +b \right) \sqrt{b \left(a +b \right)}\, \sqrt{\left(2 \sqrt{b \left(a +b \right)}-a -2 b \right) a}}-\frac{b a \arctan \left(\frac{a \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(2 \sqrt{b \left(a +b \right)}+a +2 b \right) a}}\right)}{\left(a +b \right) \sqrt{b \left(a +b \right)}\, \sqrt{\left(2 \sqrt{b \left(a +b \right)}+a +2 b \right) a}}-\frac{b \arctan \left(\frac{a \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(2 \sqrt{b \left(a +b \right)}+a +2 b \right) a}}\right)}{\left(a +b \right) \sqrt{\left(2 \sqrt{b \left(a +b \right)}+a +2 b \right) a}}-\frac{b^{2} \arctan \left(\frac{a \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(2 \sqrt{b \left(a +b \right)}+a +2 b \right) a}}\right)}{\left(a +b \right) \sqrt{b \left(a +b \right)}\, \sqrt{\left(2 \sqrt{b \left(a +b \right)}+a +2 b \right) a}}"," ",0,"-2/(2*b+2*a)*ln(tanh(1/2*x)-1)+2/(2*b+2*a)*ln(tanh(1/2*x)+1)-b/(a+b)*a/(b*(a+b))^(1/2)/((2*(b*(a+b))^(1/2)-a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*x)/((2*(b*(a+b))^(1/2)-a-2*b)*a)^(1/2))+b/(a+b)/((2*(b*(a+b))^(1/2)-a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*x)/((2*(b*(a+b))^(1/2)-a-2*b)*a)^(1/2))-b^2/(a+b)/(b*(a+b))^(1/2)/((2*(b*(a+b))^(1/2)-a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*x)/((2*(b*(a+b))^(1/2)-a-2*b)*a)^(1/2))-b/(a+b)*a/(b*(a+b))^(1/2)/((2*(b*(a+b))^(1/2)+a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*x)/((2*(b*(a+b))^(1/2)+a+2*b)*a)^(1/2))-b/(a+b)/((2*(b*(a+b))^(1/2)+a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*x)/((2*(b*(a+b))^(1/2)+a+2*b)*a)^(1/2))-b^2/(a+b)/(b*(a+b))^(1/2)/((2*(b*(a+b))^(1/2)+a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*x)/((2*(b*(a+b))^(1/2)+a+2*b)*a)^(1/2))","B"
840,1,96,29,0.245000," ","int(sinh(x)^3/(cosh(x)^3+sinh(x)^3),x)","-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2}+\frac{i \sqrt{3}\, \ln \left(\tanh^{2}\left(\frac{x}{2}\right)+\left(i \sqrt{3}-1\right) \tanh \left(\frac{x}{2}\right)+1\right)}{9}-\frac{i \sqrt{3}\, \ln \left(\tanh^{2}\left(\frac{x}{2}\right)+\left(-i \sqrt{3}-1\right) \tanh \left(\frac{x}{2}\right)+1\right)}{9}+\frac{1}{3 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{1}{3 \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2}"," ",0,"-1/2*ln(tanh(1/2*x)-1)+1/9*I*3^(1/2)*ln(tanh(1/2*x)^2+(I*3^(1/2)-1)*tanh(1/2*x)+1)-1/9*I*3^(1/2)*ln(tanh(1/2*x)^2+(-I*3^(1/2)-1)*tanh(1/2*x)+1)+1/3/(tanh(1/2*x)+1)^2-1/3/(tanh(1/2*x)+1)+1/2*ln(tanh(1/2*x)+1)","C"
841,1,96,29,0.241000," ","int(cosh(x)^3/(cosh(x)^3+sinh(x)^3),x)","-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2}+\frac{i \sqrt{3}\, \ln \left(\tanh^{2}\left(\frac{x}{2}\right)+\left(-i \sqrt{3}-1\right) \tanh \left(\frac{x}{2}\right)+1\right)}{9}-\frac{i \sqrt{3}\, \ln \left(\tanh^{2}\left(\frac{x}{2}\right)+\left(i \sqrt{3}-1\right) \tanh \left(\frac{x}{2}\right)+1\right)}{9}-\frac{1}{3 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{1}{3 \tanh \left(\frac{x}{2}\right)+3}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2}"," ",0,"-1/2*ln(tanh(1/2*x)-1)+1/9*I*3^(1/2)*ln(tanh(1/2*x)^2+(-I*3^(1/2)-1)*tanh(1/2*x)+1)-1/9*I*3^(1/2)*ln(tanh(1/2*x)^2+(I*3^(1/2)-1)*tanh(1/2*x)+1)-1/3/(tanh(1/2*x)+1)^2+1/3/(tanh(1/2*x)+1)+1/2*ln(tanh(1/2*x)+1)","C"
842,1,136,50,0.344000," ","int(x*csch(x)*sech(x)/(a*sech(x)^2)^(1/2),x)","-\frac{{\mathrm e}^{x} x \ln \left({\mathrm e}^{x}+1\right)}{\sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}\, \left(1+{\mathrm e}^{2 x}\right)}-\frac{{\mathrm e}^{x} \polylog \left(2, -{\mathrm e}^{x}\right)}{\sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}\, \left(1+{\mathrm e}^{2 x}\right)}+\frac{{\mathrm e}^{x} x \ln \left(1-{\mathrm e}^{x}\right)}{\sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}\, \left(1+{\mathrm e}^{2 x}\right)}+\frac{{\mathrm e}^{x} \polylog \left(2, {\mathrm e}^{x}\right)}{\sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}\, \left(1+{\mathrm e}^{2 x}\right)}"," ",0,"-1/(a*exp(2*x)/(1+exp(2*x))^2)^(1/2)/(1+exp(2*x))*exp(x)*x*ln(exp(x)+1)-1/(a*exp(2*x)/(1+exp(2*x))^2)^(1/2)/(1+exp(2*x))*exp(x)*polylog(2,-exp(x))+1/(a*exp(2*x)/(1+exp(2*x))^2)^(1/2)/(1+exp(2*x))*exp(x)*x*ln(1-exp(x))+1/(a*exp(2*x)/(1+exp(2*x))^2)^(1/2)/(1+exp(2*x))*exp(x)*polylog(2,exp(x))","B"
843,1,209,89,0.351000," ","int(x^2*csch(x)*sech(x)/(a*sech(x)^2)^(1/2),x)","-\frac{{\mathrm e}^{x} x^{2} \ln \left({\mathrm e}^{x}+1\right)}{\sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}\, \left(1+{\mathrm e}^{2 x}\right)}-\frac{2 \,{\mathrm e}^{x} x \polylog \left(2, -{\mathrm e}^{x}\right)}{\sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}\, \left(1+{\mathrm e}^{2 x}\right)}+\frac{2 \,{\mathrm e}^{x} \polylog \left(3, -{\mathrm e}^{x}\right)}{\sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}\, \left(1+{\mathrm e}^{2 x}\right)}+\frac{{\mathrm e}^{x} x^{2} \ln \left(1-{\mathrm e}^{x}\right)}{\sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}\, \left(1+{\mathrm e}^{2 x}\right)}+\frac{2 \,{\mathrm e}^{x} x \polylog \left(2, {\mathrm e}^{x}\right)}{\sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}\, \left(1+{\mathrm e}^{2 x}\right)}-\frac{2 \,{\mathrm e}^{x} \polylog \left(3, {\mathrm e}^{x}\right)}{\sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}\, \left(1+{\mathrm e}^{2 x}\right)}"," ",0,"-1/(a*exp(2*x)/(1+exp(2*x))^2)^(1/2)/(1+exp(2*x))*exp(x)*x^2*ln(exp(x)+1)-2/(a*exp(2*x)/(1+exp(2*x))^2)^(1/2)/(1+exp(2*x))*exp(x)*x*polylog(2,-exp(x))+2/(a*exp(2*x)/(1+exp(2*x))^2)^(1/2)/(1+exp(2*x))*exp(x)*polylog(3,-exp(x))+1/(a*exp(2*x)/(1+exp(2*x))^2)^(1/2)/(1+exp(2*x))*exp(x)*x^2*ln(1-exp(x))+2/(a*exp(2*x)/(1+exp(2*x))^2)^(1/2)/(1+exp(2*x))*exp(x)*x*polylog(2,exp(x))-2/(a*exp(2*x)/(1+exp(2*x))^2)^(1/2)/(1+exp(2*x))*exp(x)*polylog(3,exp(x))","B"
844,1,281,129,0.348000," ","int(x^3*csch(x)*sech(x)/(a*sech(x)^2)^(1/2),x)","-\frac{{\mathrm e}^{x} x^{3} \ln \left({\mathrm e}^{x}+1\right)}{\sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}\, \left(1+{\mathrm e}^{2 x}\right)}-\frac{3 \,{\mathrm e}^{x} x^{2} \polylog \left(2, -{\mathrm e}^{x}\right)}{\sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}\, \left(1+{\mathrm e}^{2 x}\right)}+\frac{6 \,{\mathrm e}^{x} x \polylog \left(3, -{\mathrm e}^{x}\right)}{\sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}\, \left(1+{\mathrm e}^{2 x}\right)}-\frac{6 \,{\mathrm e}^{x} \polylog \left(4, -{\mathrm e}^{x}\right)}{\sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}\, \left(1+{\mathrm e}^{2 x}\right)}+\frac{{\mathrm e}^{x} x^{3} \ln \left(1-{\mathrm e}^{x}\right)}{\sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}\, \left(1+{\mathrm e}^{2 x}\right)}+\frac{3 \,{\mathrm e}^{x} x^{2} \polylog \left(2, {\mathrm e}^{x}\right)}{\sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}\, \left(1+{\mathrm e}^{2 x}\right)}-\frac{6 \,{\mathrm e}^{x} x \polylog \left(3, {\mathrm e}^{x}\right)}{\sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}\, \left(1+{\mathrm e}^{2 x}\right)}+\frac{6 \,{\mathrm e}^{x} \polylog \left(4, {\mathrm e}^{x}\right)}{\sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}\, \left(1+{\mathrm e}^{2 x}\right)}"," ",0,"-1/(a*exp(2*x)/(1+exp(2*x))^2)^(1/2)/(1+exp(2*x))*exp(x)*x^3*ln(exp(x)+1)-3/(a*exp(2*x)/(1+exp(2*x))^2)^(1/2)/(1+exp(2*x))*exp(x)*x^2*polylog(2,-exp(x))+6/(a*exp(2*x)/(1+exp(2*x))^2)^(1/2)/(1+exp(2*x))*exp(x)*x*polylog(3,-exp(x))-6/(a*exp(2*x)/(1+exp(2*x))^2)^(1/2)/(1+exp(2*x))*exp(x)*polylog(4,-exp(x))+1/(a*exp(2*x)/(1+exp(2*x))^2)^(1/2)/(1+exp(2*x))*exp(x)*x^3*ln(1-exp(x))+3/(a*exp(2*x)/(1+exp(2*x))^2)^(1/2)/(1+exp(2*x))*exp(x)*x^2*polylog(2,exp(x))-6/(a*exp(2*x)/(1+exp(2*x))^2)^(1/2)/(1+exp(2*x))*exp(x)*x*polylog(3,exp(x))+6/(a*exp(2*x)/(1+exp(2*x))^2)^(1/2)/(1+exp(2*x))*exp(x)*polylog(4,exp(x))","B"
845,1,175,61,0.369000," ","int(x*csch(x)*sech(x)/(a*sech(x)^4)^(1/2),x)","-\frac{{\mathrm e}^{2 x} x^{2}}{2 \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, \left(1+{\mathrm e}^{2 x}\right)^{2}}+\frac{{\mathrm e}^{2 x} x \ln \left({\mathrm e}^{x}+1\right)}{\sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, \left(1+{\mathrm e}^{2 x}\right)^{2}}+\frac{{\mathrm e}^{2 x} \polylog \left(2, -{\mathrm e}^{x}\right)}{\sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, \left(1+{\mathrm e}^{2 x}\right)^{2}}+\frac{{\mathrm e}^{2 x} x \ln \left(1-{\mathrm e}^{x}\right)}{\sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, \left(1+{\mathrm e}^{2 x}\right)^{2}}+\frac{{\mathrm e}^{2 x} \polylog \left(2, {\mathrm e}^{x}\right)}{\sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, \left(1+{\mathrm e}^{2 x}\right)^{2}}"," ",0,"-1/2/(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)/(1+exp(2*x))^2*exp(2*x)*x^2+1/(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)/(1+exp(2*x))^2*exp(2*x)*x*ln(exp(x)+1)+1/(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)/(1+exp(2*x))^2*exp(2*x)*polylog(2,-exp(x))+1/(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)/(1+exp(2*x))^2*exp(2*x)*x*ln(1-exp(x))+1/(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)/(1+exp(2*x))^2*exp(2*x)*polylog(2,exp(x))","B"
846,1,253,83,0.366000," ","int(x^2*csch(x)*sech(x)/(a*sech(x)^4)^(1/2),x)","-\frac{{\mathrm e}^{2 x} x^{3}}{3 \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, \left(1+{\mathrm e}^{2 x}\right)^{2}}+\frac{{\mathrm e}^{2 x} x^{2} \ln \left({\mathrm e}^{x}+1\right)}{\sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, \left(1+{\mathrm e}^{2 x}\right)^{2}}+\frac{2 \,{\mathrm e}^{2 x} x \polylog \left(2, -{\mathrm e}^{x}\right)}{\sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, \left(1+{\mathrm e}^{2 x}\right)^{2}}-\frac{2 \,{\mathrm e}^{2 x} \polylog \left(3, -{\mathrm e}^{x}\right)}{\sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, \left(1+{\mathrm e}^{2 x}\right)^{2}}+\frac{{\mathrm e}^{2 x} x^{2} \ln \left(1-{\mathrm e}^{x}\right)}{\sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, \left(1+{\mathrm e}^{2 x}\right)^{2}}+\frac{2 \,{\mathrm e}^{2 x} x \polylog \left(2, {\mathrm e}^{x}\right)}{\sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, \left(1+{\mathrm e}^{2 x}\right)^{2}}-\frac{2 \,{\mathrm e}^{2 x} \polylog \left(3, {\mathrm e}^{x}\right)}{\sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, \left(1+{\mathrm e}^{2 x}\right)^{2}}"," ",0,"-1/3/(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)/(1+exp(2*x))^2*exp(2*x)*x^3+1/(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)/(1+exp(2*x))^2*exp(2*x)*x^2*ln(exp(x)+1)+2/(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)/(1+exp(2*x))^2*exp(2*x)*x*polylog(2,-exp(x))-2/(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)/(1+exp(2*x))^2*exp(2*x)*polylog(3,-exp(x))+1/(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)/(1+exp(2*x))^2*exp(2*x)*x^2*ln(1-exp(x))+2/(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)/(1+exp(2*x))^2*exp(2*x)*x*polylog(2,exp(x))-2/(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)/(1+exp(2*x))^2*exp(2*x)*polylog(3,exp(x))","B"
847,1,329,107,0.367000," ","int(x^3*csch(x)*sech(x)/(a*sech(x)^4)^(1/2),x)","-\frac{{\mathrm e}^{2 x} x^{4}}{4 \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, \left(1+{\mathrm e}^{2 x}\right)^{2}}+\frac{{\mathrm e}^{2 x} x^{3} \ln \left({\mathrm e}^{x}+1\right)}{\sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, \left(1+{\mathrm e}^{2 x}\right)^{2}}+\frac{3 \,{\mathrm e}^{2 x} x^{2} \polylog \left(2, -{\mathrm e}^{x}\right)}{\sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, \left(1+{\mathrm e}^{2 x}\right)^{2}}-\frac{6 \,{\mathrm e}^{2 x} x \polylog \left(3, -{\mathrm e}^{x}\right)}{\sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, \left(1+{\mathrm e}^{2 x}\right)^{2}}+\frac{6 \,{\mathrm e}^{2 x} \polylog \left(4, -{\mathrm e}^{x}\right)}{\sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, \left(1+{\mathrm e}^{2 x}\right)^{2}}+\frac{{\mathrm e}^{2 x} x^{3} \ln \left(1-{\mathrm e}^{x}\right)}{\sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, \left(1+{\mathrm e}^{2 x}\right)^{2}}+\frac{3 \,{\mathrm e}^{2 x} x^{2} \polylog \left(2, {\mathrm e}^{x}\right)}{\sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, \left(1+{\mathrm e}^{2 x}\right)^{2}}-\frac{6 \,{\mathrm e}^{2 x} x \polylog \left(3, {\mathrm e}^{x}\right)}{\sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, \left(1+{\mathrm e}^{2 x}\right)^{2}}+\frac{6 \,{\mathrm e}^{2 x} \polylog \left(4, {\mathrm e}^{x}\right)}{\sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, \left(1+{\mathrm e}^{2 x}\right)^{2}}"," ",0,"-1/4/(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)/(1+exp(2*x))^2*exp(2*x)*x^4+1/(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)/(1+exp(2*x))^2*exp(2*x)*x^3*ln(exp(x)+1)+3/(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)/(1+exp(2*x))^2*exp(2*x)*x^2*polylog(2,-exp(x))-6/(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)/(1+exp(2*x))^2*exp(2*x)*x*polylog(3,-exp(x))+6/(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)/(1+exp(2*x))^2*exp(2*x)*polylog(4,-exp(x))+1/(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)/(1+exp(2*x))^2*exp(2*x)*x^3*ln(1-exp(x))+3/(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)/(1+exp(2*x))^2*exp(2*x)*x^2*polylog(2,exp(x))-6/(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)/(1+exp(2*x))^2*exp(2*x)*x*polylog(3,exp(x))+6/(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)/(1+exp(2*x))^2*exp(2*x)*polylog(4,exp(x))","B"
848,1,150,75,0.377000," ","int(x*csch(x)*sech(x)*(a*sech(x)^2)^(1/2),x)","2 \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}\, x -2 \sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}\, {\mathrm e}^{-x} \left(1+{\mathrm e}^{2 x}\right) \arctan \left({\mathrm e}^{x}\right)-\sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}\, {\mathrm e}^{-x} \left(1+{\mathrm e}^{2 x}\right) \dilog \left({\mathrm e}^{x}\right)-\sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}\, {\mathrm e}^{-x} \left(1+{\mathrm e}^{2 x}\right) \dilog \left({\mathrm e}^{x}+1\right)-\sqrt{\frac{a \,{\mathrm e}^{2 x}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}\, {\mathrm e}^{-x} \left(1+{\mathrm e}^{2 x}\right) x \ln \left({\mathrm e}^{x}+1\right)"," ",0,"2*(a*exp(2*x)/(1+exp(2*x))^2)^(1/2)*x-2*(a*exp(2*x)/(1+exp(2*x))^2)^(1/2)*exp(-x)*(1+exp(2*x))*arctan(exp(x))-(a*exp(2*x)/(1+exp(2*x))^2)^(1/2)*exp(-x)*(1+exp(2*x))*dilog(exp(x))-(a*exp(2*x)/(1+exp(2*x))^2)^(1/2)*exp(-x)*(1+exp(2*x))*dilog(exp(x)+1)-(a*exp(2*x)/(1+exp(2*x))^2)^(1/2)*exp(-x)*(1+exp(2*x))*x*ln(exp(x)+1)","A"
849,0,0,157,0.543000," ","int(x^2*csch(x)*sech(x)*(a*sech(x)^2)^(1/2),x)","\int x^{2} \mathrm{csch}\left(x \right) \mathrm{sech}\left(x \right) \sqrt{a \mathrm{sech}\left(x \right)^{2}}\, dx"," ",0,"int(x^2*csch(x)*sech(x)*(a*sech(x)^2)^(1/2),x)","F"
850,0,0,241,0.530000," ","int(x^3*csch(x)*sech(x)*(a*sech(x)^2)^(1/2),x)","\int x^{3} \mathrm{csch}\left(x \right) \mathrm{sech}\left(x \right) \sqrt{a \mathrm{sech}\left(x \right)^{2}}\, dx"," ",0,"int(x^3*csch(x)*sech(x)*(a*sech(x)^2)^(1/2),x)","F"
851,1,252,107,0.345000," ","int(x*csch(x)*sech(x)*(a*sech(x)^4)^(1/2),x)","\sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, {\mathrm e}^{-2 x} \left(2 x \,{\mathrm e}^{2 x}+{\mathrm e}^{2 x}+1\right)+\sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, {\mathrm e}^{-2 x} \left(1+{\mathrm e}^{2 x}\right)^{2} x \ln \left({\mathrm e}^{x}+1\right)+\sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, {\mathrm e}^{-2 x} \left(1+{\mathrm e}^{2 x}\right)^{2} \polylog \left(2, -{\mathrm e}^{x}\right)-\sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, {\mathrm e}^{-2 x} \left(1+{\mathrm e}^{2 x}\right)^{2} x \ln \left(1+{\mathrm e}^{2 x}\right)-\frac{\sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, {\mathrm e}^{-2 x} \left(1+{\mathrm e}^{2 x}\right)^{2} \polylog \left(2, -{\mathrm e}^{2 x}\right)}{2}+\sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, {\mathrm e}^{-2 x} \left(1+{\mathrm e}^{2 x}\right)^{2} x \ln \left(1-{\mathrm e}^{x}\right)+\sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, {\mathrm e}^{-2 x} \left(1+{\mathrm e}^{2 x}\right)^{2} \polylog \left(2, {\mathrm e}^{x}\right)"," ",0,"(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)*exp(-2*x)*(2*x*exp(2*x)+exp(2*x)+1)+(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)*exp(-2*x)*(1+exp(2*x))^2*x*ln(exp(x)+1)+(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)*exp(-2*x)*(1+exp(2*x))^2*polylog(2,-exp(x))-(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)*exp(-2*x)*(1+exp(2*x))^2*x*ln(1+exp(2*x))-1/2*(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)*exp(-2*x)*(1+exp(2*x))^2*polylog(2,-exp(2*x))+(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)*exp(-2*x)*(1+exp(2*x))^2*x*ln(1-exp(x))+(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)*exp(-2*x)*(1+exp(2*x))^2*polylog(2,exp(x))","B"
852,1,441,173,0.358000," ","int(x^2*csch(x)*sech(x)*(a*sech(x)^4)^(1/2),x)","2 \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, {\mathrm e}^{-2 x} x \left(x \,{\mathrm e}^{2 x}+{\mathrm e}^{2 x}+1\right)-2 \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, {\mathrm e}^{-2 x} \left(1+{\mathrm e}^{2 x}\right)^{2} \ln \left({\mathrm e}^{x}\right)+\sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, {\mathrm e}^{-2 x} \left(1+{\mathrm e}^{2 x}\right)^{2} \ln \left(1+{\mathrm e}^{2 x}\right)+\sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, {\mathrm e}^{-2 x} \left(1+{\mathrm e}^{2 x}\right)^{2} x^{2} \ln \left({\mathrm e}^{x}+1\right)+2 \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, {\mathrm e}^{-2 x} \left(1+{\mathrm e}^{2 x}\right)^{2} x \polylog \left(2, -{\mathrm e}^{x}\right)-2 \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, {\mathrm e}^{-2 x} \left(1+{\mathrm e}^{2 x}\right)^{2} \polylog \left(3, -{\mathrm e}^{x}\right)-\sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, {\mathrm e}^{-2 x} \left(1+{\mathrm e}^{2 x}\right)^{2} x^{2} \ln \left(1+{\mathrm e}^{2 x}\right)-\sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, {\mathrm e}^{-2 x} \left(1+{\mathrm e}^{2 x}\right)^{2} x \polylog \left(2, -{\mathrm e}^{2 x}\right)+\frac{\sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, {\mathrm e}^{-2 x} \left(1+{\mathrm e}^{2 x}\right)^{2} \polylog \left(3, -{\mathrm e}^{2 x}\right)}{2}+\sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, {\mathrm e}^{-2 x} \left(1+{\mathrm e}^{2 x}\right)^{2} x^{2} \ln \left(1-{\mathrm e}^{x}\right)+2 \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, {\mathrm e}^{-2 x} \left(1+{\mathrm e}^{2 x}\right)^{2} x \polylog \left(2, {\mathrm e}^{x}\right)-2 \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, {\mathrm e}^{-2 x} \left(1+{\mathrm e}^{2 x}\right)^{2} \polylog \left(3, {\mathrm e}^{x}\right)"," ",0,"2*(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)*exp(-2*x)*x*(x*exp(2*x)+exp(2*x)+1)-2*(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)*exp(-2*x)*(1+exp(2*x))^2*ln(exp(x))+(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)*exp(-2*x)*(1+exp(2*x))^2*ln(1+exp(2*x))+(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)*exp(-2*x)*(1+exp(2*x))^2*x^2*ln(exp(x)+1)+2*(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)*exp(-2*x)*(1+exp(2*x))^2*x*polylog(2,-exp(x))-2*(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)*exp(-2*x)*(1+exp(2*x))^2*polylog(3,-exp(x))-(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)*exp(-2*x)*(1+exp(2*x))^2*x^2*ln(1+exp(2*x))-(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)*exp(-2*x)*(1+exp(2*x))^2*x*polylog(2,-exp(2*x))+1/2*(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)*exp(-2*x)*(1+exp(2*x))^2*polylog(3,-exp(2*x))+(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)*exp(-2*x)*(1+exp(2*x))^2*x^2*ln(1-exp(x))+2*(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)*exp(-2*x)*(1+exp(2*x))^2*x*polylog(2,exp(x))-2*(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)*exp(-2*x)*(1+exp(2*x))^2*polylog(3,exp(x))","B"
853,1,602,269,0.367000," ","int(x^3*csch(x)*sech(x)*(a*sech(x)^4)^(1/2),x)","\sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, {\mathrm e}^{-2 x} x^{2} \left(2 x \,{\mathrm e}^{2 x}+3 \,{\mathrm e}^{2 x}+3\right)-3 \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, {\mathrm e}^{-2 x} \left(1+{\mathrm e}^{2 x}\right)^{2} x^{2}+3 \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, {\mathrm e}^{-2 x} \left(1+{\mathrm e}^{2 x}\right)^{2} x \ln \left(1+{\mathrm e}^{2 x}\right)+\frac{3 \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, {\mathrm e}^{-2 x} \left(1+{\mathrm e}^{2 x}\right)^{2} \polylog \left(2, -{\mathrm e}^{2 x}\right)}{2}+\sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, {\mathrm e}^{-2 x} \left(1+{\mathrm e}^{2 x}\right)^{2} x^{3} \ln \left({\mathrm e}^{x}+1\right)+3 \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, {\mathrm e}^{-2 x} \left(1+{\mathrm e}^{2 x}\right)^{2} x^{2} \polylog \left(2, -{\mathrm e}^{x}\right)-6 \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, {\mathrm e}^{-2 x} \left(1+{\mathrm e}^{2 x}\right)^{2} x \polylog \left(3, -{\mathrm e}^{x}\right)+6 \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, {\mathrm e}^{-2 x} \left(1+{\mathrm e}^{2 x}\right)^{2} \polylog \left(4, -{\mathrm e}^{x}\right)-\sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, {\mathrm e}^{-2 x} \left(1+{\mathrm e}^{2 x}\right)^{2} x^{3} \ln \left(1+{\mathrm e}^{2 x}\right)-\frac{3 \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, {\mathrm e}^{-2 x} \left(1+{\mathrm e}^{2 x}\right)^{2} x^{2} \polylog \left(2, -{\mathrm e}^{2 x}\right)}{2}+\frac{3 \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, {\mathrm e}^{-2 x} \left(1+{\mathrm e}^{2 x}\right)^{2} x \polylog \left(3, -{\mathrm e}^{2 x}\right)}{2}-\frac{3 \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, {\mathrm e}^{-2 x} \left(1+{\mathrm e}^{2 x}\right)^{2} \polylog \left(4, -{\mathrm e}^{2 x}\right)}{4}+\sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, {\mathrm e}^{-2 x} \left(1+{\mathrm e}^{2 x}\right)^{2} x^{3} \ln \left(1-{\mathrm e}^{x}\right)+3 \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, {\mathrm e}^{-2 x} \left(1+{\mathrm e}^{2 x}\right)^{2} x^{2} \polylog \left(2, {\mathrm e}^{x}\right)-6 \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, {\mathrm e}^{-2 x} \left(1+{\mathrm e}^{2 x}\right)^{2} x \polylog \left(3, {\mathrm e}^{x}\right)+6 \sqrt{\frac{a \,{\mathrm e}^{4 x}}{\left(1+{\mathrm e}^{2 x}\right)^{4}}}\, {\mathrm e}^{-2 x} \left(1+{\mathrm e}^{2 x}\right)^{2} \polylog \left(4, {\mathrm e}^{x}\right)"," ",0,"(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)*exp(-2*x)*x^2*(2*x*exp(2*x)+3*exp(2*x)+3)-3*(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)*exp(-2*x)*(1+exp(2*x))^2*x^2+3*(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)*exp(-2*x)*(1+exp(2*x))^2*x*ln(1+exp(2*x))+3/2*(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)*exp(-2*x)*(1+exp(2*x))^2*polylog(2,-exp(2*x))+(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)*exp(-2*x)*(1+exp(2*x))^2*x^3*ln(exp(x)+1)+3*(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)*exp(-2*x)*(1+exp(2*x))^2*x^2*polylog(2,-exp(x))-6*(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)*exp(-2*x)*(1+exp(2*x))^2*x*polylog(3,-exp(x))+6*(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)*exp(-2*x)*(1+exp(2*x))^2*polylog(4,-exp(x))-(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)*exp(-2*x)*(1+exp(2*x))^2*x^3*ln(1+exp(2*x))-3/2*(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)*exp(-2*x)*(1+exp(2*x))^2*x^2*polylog(2,-exp(2*x))+3/2*(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)*exp(-2*x)*(1+exp(2*x))^2*x*polylog(3,-exp(2*x))-3/4*(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)*exp(-2*x)*(1+exp(2*x))^2*polylog(4,-exp(2*x))+(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)*exp(-2*x)*(1+exp(2*x))^2*x^3*ln(1-exp(x))+3*(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)*exp(-2*x)*(1+exp(2*x))^2*x^2*polylog(2,exp(x))-6*(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)*exp(-2*x)*(1+exp(2*x))^2*x*polylog(3,exp(x))+6*(a*exp(4*x)/(1+exp(2*x))^4)^(1/2)*exp(-2*x)*(1+exp(2*x))^2*polylog(4,exp(x))","B"
854,0,0,125,1.023000," ","int((a+b*cosh(d*x+c)*sinh(d*x+c))^m,x)","\int \left(a +b \cosh \left(d x +c \right) \sinh \left(d x +c \right)\right)^{m}\, dx"," ",0,"int((a+b*cosh(d*x+c)*sinh(d*x+c))^m,x)","F"
855,1,106,101,0.441000," ","int((a+b*cosh(d*x+c)*sinh(d*x+c))^3,x)","\frac{b^{3} \left(\frac{\left(\sinh^{2}\left(d x +c \right)\right) \left(\cosh^{4}\left(d x +c \right)\right)}{6}-\frac{\left(\cosh^{4}\left(d x +c \right)\right)}{12}\right)+3 a \,b^{2} \left(\frac{\sinh \left(d x +c \right) \left(\cosh^{3}\left(d x +c \right)\right)}{4}-\frac{\cosh \left(d x +c \right) \sinh \left(d x +c \right)}{8}-\frac{d x}{8}-\frac{c}{8}\right)+\frac{3 a^{2} b \left(\cosh^{2}\left(d x +c \right)\right)}{2}+a^{3} \left(d x +c \right)}{d}"," ",0,"1/d*(b^3*(1/6*sinh(d*x+c)^2*cosh(d*x+c)^4-1/12*cosh(d*x+c)^4)+3*a*b^2*(1/4*sinh(d*x+c)*cosh(d*x+c)^3-1/8*cosh(d*x+c)*sinh(d*x+c)-1/8*d*x-1/8*c)+3/2*a^2*b*cosh(d*x+c)^2+a^3*(d*x+c))","A"
856,1,68,57,0.426000," ","int((a+b*cosh(d*x+c)*sinh(d*x+c))^2,x)","\frac{b^{2} \left(\frac{\sinh \left(d x +c \right) \left(\cosh^{3}\left(d x +c \right)\right)}{4}-\frac{\cosh \left(d x +c \right) \sinh \left(d x +c \right)}{8}-\frac{d x}{8}-\frac{c}{8}\right)+a \left(\cosh^{2}\left(d x +c \right)\right) b +a^{2} \left(d x +c \right)}{d}"," ",0,"1/d*(b^2*(1/4*sinh(d*x+c)*cosh(d*x+c)^3-1/8*cosh(d*x+c)*sinh(d*x+c)-1/8*d*x-1/8*c)+a*cosh(d*x+c)^2*b+a^2*(d*x+c))","A"
857,1,19,18,0.020000," ","int(a+b*cosh(d*x+c)*sinh(d*x+c),x)","a x +\frac{b \left(\cosh^{2}\left(d x +c \right)\right)}{2 d}"," ",0,"a*x+1/2*b*cosh(d*x+c)^2/d","A"
858,1,207,40,0.664000," ","int(1/(a+b*cosh(d*x+c)*sinh(d*x+c)),x)","-\frac{4 a^{2} \ln \left(-\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +\sqrt{4 a^{2}+b^{2}}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b -a \right)}{d \left(4 a^{2}+b^{2}\right)^{\frac{3}{2}}}-\frac{\ln \left(-\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +\sqrt{4 a^{2}+b^{2}}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b -a \right) b^{2}}{d \left(4 a^{2}+b^{2}\right)^{\frac{3}{2}}}+\frac{\ln \left(\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +\sqrt{4 a^{2}+b^{2}}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b +a \right)}{d \sqrt{4 a^{2}+b^{2}}}"," ",0,"-4/d*a^2/(4*a^2+b^2)^(3/2)*ln(-tanh(1/2*d*x+1/2*c)^2*a+(4*a^2+b^2)^(1/2)*tanh(1/2*d*x+1/2*c)-tanh(1/2*d*x+1/2*c)*b-a)-1/d/(4*a^2+b^2)^(3/2)*ln(-tanh(1/2*d*x+1/2*c)^2*a+(4*a^2+b^2)^(1/2)*tanh(1/2*d*x+1/2*c)-tanh(1/2*d*x+1/2*c)*b-a)*b^2+1/d/(4*a^2+b^2)^(1/2)*ln(tanh(1/2*d*x+1/2*c)^2*a+(4*a^2+b^2)^(1/2)*tanh(1/2*d*x+1/2*c)+tanh(1/2*d*x+1/2*c)*b+a)","B"
859,1,469,85,0.804000," ","int(1/(a+b*cosh(d*x+c)*sinh(d*x+c))^2,x)","\frac{2 b^{2} \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +2 \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b +a \right) a \left(4 a^{2}+b^{2}\right)}-\frac{8 b \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +2 \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b +a \right) \left(4 a^{2}+b^{2}\right)}+\frac{2 b^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +2 \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b +a \right) a \left(4 a^{2}+b^{2}\right)}-\frac{4 a \ln \left(-\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +\sqrt{4 a^{2}+b^{2}}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b -a \right)}{d \left(4 a^{2}+b^{2}\right)^{\frac{3}{2}}}+\frac{16 a^{3} \ln \left(\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +\sqrt{4 a^{2}+b^{2}}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b +a \right)}{d \left(4 a^{2}+b^{2}\right)^{\frac{5}{2}}}+\frac{4 a \ln \left(\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +\sqrt{4 a^{2}+b^{2}}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b +a \right) b^{2}}{d \left(4 a^{2}+b^{2}\right)^{\frac{5}{2}}}"," ",0,"2/d/(tanh(1/2*d*x+1/2*c)^4*a+2*tanh(1/2*d*x+1/2*c)^3*b-2*tanh(1/2*d*x+1/2*c)^2*a+2*tanh(1/2*d*x+1/2*c)*b+a)*b^2/a/(4*a^2+b^2)*tanh(1/2*d*x+1/2*c)^3-8/d/(tanh(1/2*d*x+1/2*c)^4*a+2*tanh(1/2*d*x+1/2*c)^3*b-2*tanh(1/2*d*x+1/2*c)^2*a+2*tanh(1/2*d*x+1/2*c)*b+a)*b/(4*a^2+b^2)*tanh(1/2*d*x+1/2*c)^2+2/d/(tanh(1/2*d*x+1/2*c)^4*a+2*tanh(1/2*d*x+1/2*c)^3*b-2*tanh(1/2*d*x+1/2*c)^2*a+2*tanh(1/2*d*x+1/2*c)*b+a)*b^2/a/(4*a^2+b^2)*tanh(1/2*d*x+1/2*c)-4/d*a/(4*a^2+b^2)^(3/2)*ln(-tanh(1/2*d*x+1/2*c)^2*a+(4*a^2+b^2)^(1/2)*tanh(1/2*d*x+1/2*c)-tanh(1/2*d*x+1/2*c)*b-a)+16/d*a^3/(4*a^2+b^2)^(5/2)*ln(tanh(1/2*d*x+1/2*c)^2*a+(4*a^2+b^2)^(1/2)*tanh(1/2*d*x+1/2*c)+tanh(1/2*d*x+1/2*c)*b+a)+4/d*a/(4*a^2+b^2)^(5/2)*ln(tanh(1/2*d*x+1/2*c)^2*a+(4*a^2+b^2)^(1/2)*tanh(1/2*d*x+1/2*c)+tanh(1/2*d*x+1/2*c)*b+a)*b^2","B"
860,1,2082,139,0.865000," ","int(1/(a+b*cosh(d*x+c)*sinh(d*x+c))^3,x)","\text{Expression too large to display}"," ",0,"20/d/(tanh(1/2*d*x+1/2*c)^4*a+2*tanh(1/2*d*x+1/2*c)^3*b-2*tanh(1/2*d*x+1/2*c)^2*a+2*tanh(1/2*d*x+1/2*c)*b+a)^2*a*b^2/(16*a^4+8*a^2*b^2+b^4)*tanh(1/2*d*x+1/2*c)^7+2/d/(tanh(1/2*d*x+1/2*c)^4*a+2*tanh(1/2*d*x+1/2*c)^3*b-2*tanh(1/2*d*x+1/2*c)^2*a+2*tanh(1/2*d*x+1/2*c)*b+a)^2/a*b^4/(16*a^4+8*a^2*b^2+b^4)*tanh(1/2*d*x+1/2*c)^7-64/d/(tanh(1/2*d*x+1/2*c)^4*a+2*tanh(1/2*d*x+1/2*c)^3*b-2*tanh(1/2*d*x+1/2*c)^2*a+2*tanh(1/2*d*x+1/2*c)*b+a)^2*b*a^2/(16*a^4+8*a^2*b^2+b^4)*tanh(1/2*d*x+1/2*c)^6+28/d/(tanh(1/2*d*x+1/2*c)^4*a+2*tanh(1/2*d*x+1/2*c)^3*b-2*tanh(1/2*d*x+1/2*c)^2*a+2*tanh(1/2*d*x+1/2*c)*b+a)^2*b^3/(16*a^4+8*a^2*b^2+b^4)*tanh(1/2*d*x+1/2*c)^6+2/d/(tanh(1/2*d*x+1/2*c)^4*a+2*tanh(1/2*d*x+1/2*c)^3*b-2*tanh(1/2*d*x+1/2*c)^2*a+2*tanh(1/2*d*x+1/2*c)*b+a)^2*b^5/a^2/(16*a^4+8*a^2*b^2+b^4)*tanh(1/2*d*x+1/2*c)^6-116/d/(tanh(1/2*d*x+1/2*c)^4*a+2*tanh(1/2*d*x+1/2*c)^3*b-2*tanh(1/2*d*x+1/2*c)^2*a+2*tanh(1/2*d*x+1/2*c)*b+a)^2*a*b^2/(16*a^4+8*a^2*b^2+b^4)*tanh(1/2*d*x+1/2*c)^5-2/d/(tanh(1/2*d*x+1/2*c)^4*a+2*tanh(1/2*d*x+1/2*c)^3*b-2*tanh(1/2*d*x+1/2*c)^2*a+2*tanh(1/2*d*x+1/2*c)*b+a)^2/a*b^4/(16*a^4+8*a^2*b^2+b^4)*tanh(1/2*d*x+1/2*c)^5+128/d/(tanh(1/2*d*x+1/2*c)^4*a+2*tanh(1/2*d*x+1/2*c)^3*b-2*tanh(1/2*d*x+1/2*c)^2*a+2*tanh(1/2*d*x+1/2*c)*b+a)^2*a^2*b/(16*a^4+8*a^2*b^2+b^4)*tanh(1/2*d*x+1/2*c)^4+72/d/(tanh(1/2*d*x+1/2*c)^4*a+2*tanh(1/2*d*x+1/2*c)^3*b-2*tanh(1/2*d*x+1/2*c)^2*a+2*tanh(1/2*d*x+1/2*c)*b+a)^2*b^3/(16*a^4+8*a^2*b^2+b^4)*tanh(1/2*d*x+1/2*c)^4+4/d/(tanh(1/2*d*x+1/2*c)^4*a+2*tanh(1/2*d*x+1/2*c)^3*b-2*tanh(1/2*d*x+1/2*c)^2*a+2*tanh(1/2*d*x+1/2*c)*b+a)^2/a^2*b^5/(16*a^4+8*a^2*b^2+b^4)*tanh(1/2*d*x+1/2*c)^4-116/d/(tanh(1/2*d*x+1/2*c)^4*a+2*tanh(1/2*d*x+1/2*c)^3*b-2*tanh(1/2*d*x+1/2*c)^2*a+2*tanh(1/2*d*x+1/2*c)*b+a)^2*a*b^2/(16*a^4+8*a^2*b^2+b^4)*tanh(1/2*d*x+1/2*c)^3-2/d/(tanh(1/2*d*x+1/2*c)^4*a+2*tanh(1/2*d*x+1/2*c)^3*b-2*tanh(1/2*d*x+1/2*c)^2*a+2*tanh(1/2*d*x+1/2*c)*b+a)^2/a*b^4/(16*a^4+8*a^2*b^2+b^4)*tanh(1/2*d*x+1/2*c)^3-64/d/(tanh(1/2*d*x+1/2*c)^4*a+2*tanh(1/2*d*x+1/2*c)^3*b-2*tanh(1/2*d*x+1/2*c)^2*a+2*tanh(1/2*d*x+1/2*c)*b+a)^2*b*a^2/(16*a^4+8*a^2*b^2+b^4)*tanh(1/2*d*x+1/2*c)^2+28/d/(tanh(1/2*d*x+1/2*c)^4*a+2*tanh(1/2*d*x+1/2*c)^3*b-2*tanh(1/2*d*x+1/2*c)^2*a+2*tanh(1/2*d*x+1/2*c)*b+a)^2*b^3/(16*a^4+8*a^2*b^2+b^4)*tanh(1/2*d*x+1/2*c)^2+2/d/(tanh(1/2*d*x+1/2*c)^4*a+2*tanh(1/2*d*x+1/2*c)^3*b-2*tanh(1/2*d*x+1/2*c)^2*a+2*tanh(1/2*d*x+1/2*c)*b+a)^2*b^5/a^2/(16*a^4+8*a^2*b^2+b^4)*tanh(1/2*d*x+1/2*c)^2+20/d/(tanh(1/2*d*x+1/2*c)^4*a+2*tanh(1/2*d*x+1/2*c)^3*b-2*tanh(1/2*d*x+1/2*c)^2*a+2*tanh(1/2*d*x+1/2*c)*b+a)^2*a*b^2/(16*a^4+8*a^2*b^2+b^4)*tanh(1/2*d*x+1/2*c)+2/d/(tanh(1/2*d*x+1/2*c)^4*a+2*tanh(1/2*d*x+1/2*c)^3*b-2*tanh(1/2*d*x+1/2*c)^2*a+2*tanh(1/2*d*x+1/2*c)*b+a)^2/a*b^4/(16*a^4+8*a^2*b^2+b^4)*tanh(1/2*d*x+1/2*c)-16/d/(16*a^4+8*a^2*b^2+b^4)*a^2/(4*a^2+b^2)^(1/2)*ln(-tanh(1/2*d*x+1/2*c)^2*a+(4*a^2+b^2)^(1/2)*tanh(1/2*d*x+1/2*c)-tanh(1/2*d*x+1/2*c)*b-a)+2/d/(16*a^4+8*a^2*b^2+b^4)/(4*a^2+b^2)^(1/2)*ln(-tanh(1/2*d*x+1/2*c)^2*a+(4*a^2+b^2)^(1/2)*tanh(1/2*d*x+1/2*c)-tanh(1/2*d*x+1/2*c)*b-a)*b^2+64/d/(16*a^4+8*a^2*b^2+b^4)*a^4/(4*a^2+b^2)^(3/2)*ln(tanh(1/2*d*x+1/2*c)^2*a+(4*a^2+b^2)^(1/2)*tanh(1/2*d*x+1/2*c)+tanh(1/2*d*x+1/2*c)*b+a)+8/d/(16*a^4+8*a^2*b^2+b^4)*a^2/(4*a^2+b^2)^(3/2)*ln(tanh(1/2*d*x+1/2*c)^2*a+(4*a^2+b^2)^(1/2)*tanh(1/2*d*x+1/2*c)+tanh(1/2*d*x+1/2*c)*b+a)*b^2-2/d/(16*a^4+8*a^2*b^2+b^4)/(4*a^2+b^2)^(3/2)*ln(tanh(1/2*d*x+1/2*c)^2*a+(4*a^2+b^2)^(1/2)*tanh(1/2*d*x+1/2*c)+tanh(1/2*d*x+1/2*c)*b+a)*b^4","B"
861,1,1260,331,1.106000," ","int((a+b*cosh(d*x+c)*sinh(d*x+c))^(5/2),x)","\frac{64 i \sqrt{-\frac{2 a +b \sinh \left(2 d x +2 c \right)}{i b -2 a}}\, \sqrt{\frac{\left(-\sinh \left(2 d x +2 c \right)+i\right) b}{i b +2 a}}\, \sqrt{\frac{\left(\sinh \left(2 d x +2 c \right)+i\right) b}{i b -2 a}}\, \EllipticF \left(\sqrt{-\frac{2 a +b \sinh \left(2 d x +2 c \right)}{i b -2 a}}, \sqrt{-\frac{i b -2 a}{i b +2 a}}\right) a^{3} b +16 i \sqrt{-\frac{2 a +b \sinh \left(2 d x +2 c \right)}{i b -2 a}}\, \sqrt{\frac{\left(-\sinh \left(2 d x +2 c \right)+i\right) b}{i b +2 a}}\, \sqrt{\frac{\left(\sinh \left(2 d x +2 c \right)+i\right) b}{i b -2 a}}\, \EllipticF \left(\sqrt{-\frac{2 a +b \sinh \left(2 d x +2 c \right)}{i b -2 a}}, \sqrt{-\frac{i b -2 a}{i b +2 a}}\right) a \,b^{3}+240 \sqrt{-\frac{2 a +b \sinh \left(2 d x +2 c \right)}{i b -2 a}}\, \sqrt{\frac{\left(-\sinh \left(2 d x +2 c \right)+i\right) b}{i b +2 a}}\, \sqrt{\frac{\left(\sinh \left(2 d x +2 c \right)+i\right) b}{i b -2 a}}\, \EllipticF \left(\sqrt{-\frac{2 a +b \sinh \left(2 d x +2 c \right)}{i b -2 a}}, \sqrt{-\frac{i b -2 a}{i b +2 a}}\right) a^{4}+24 \sqrt{-\frac{2 a +b \sinh \left(2 d x +2 c \right)}{i b -2 a}}\, \sqrt{\frac{\left(-\sinh \left(2 d x +2 c \right)+i\right) b}{i b +2 a}}\, \sqrt{\frac{\left(\sinh \left(2 d x +2 c \right)+i\right) b}{i b -2 a}}\, \EllipticF \left(\sqrt{-\frac{2 a +b \sinh \left(2 d x +2 c \right)}{i b -2 a}}, \sqrt{-\frac{i b -2 a}{i b +2 a}}\right) a^{2} b^{2}-9 \sqrt{-\frac{2 a +b \sinh \left(2 d x +2 c \right)}{i b -2 a}}\, \sqrt{\frac{\left(-\sinh \left(2 d x +2 c \right)+i\right) b}{i b +2 a}}\, \sqrt{\frac{\left(\sinh \left(2 d x +2 c \right)+i\right) b}{i b -2 a}}\, \EllipticF \left(\sqrt{-\frac{2 a +b \sinh \left(2 d x +2 c \right)}{i b -2 a}}, \sqrt{-\frac{i b -2 a}{i b +2 a}}\right) b^{4}-368 \sqrt{-\frac{2 a +b \sinh \left(2 d x +2 c \right)}{i b -2 a}}\, \sqrt{\frac{\left(-\sinh \left(2 d x +2 c \right)+i\right) b}{i b +2 a}}\, \sqrt{\frac{\left(\sinh \left(2 d x +2 c \right)+i\right) b}{i b -2 a}}\, \EllipticE \left(\sqrt{-\frac{2 a +b \sinh \left(2 d x +2 c \right)}{i b -2 a}}, \sqrt{-\frac{i b -2 a}{i b +2 a}}\right) a^{4}-56 \sqrt{-\frac{2 a +b \sinh \left(2 d x +2 c \right)}{i b -2 a}}\, \sqrt{\frac{\left(-\sinh \left(2 d x +2 c \right)+i\right) b}{i b +2 a}}\, \sqrt{\frac{\left(\sinh \left(2 d x +2 c \right)+i\right) b}{i b -2 a}}\, \EllipticE \left(\sqrt{-\frac{2 a +b \sinh \left(2 d x +2 c \right)}{i b -2 a}}, \sqrt{-\frac{i b -2 a}{i b +2 a}}\right) a^{2} b^{2}+9 \sqrt{-\frac{2 a +b \sinh \left(2 d x +2 c \right)}{i b -2 a}}\, \sqrt{\frac{\left(-\sinh \left(2 d x +2 c \right)+i\right) b}{i b +2 a}}\, \sqrt{\frac{\left(\sinh \left(2 d x +2 c \right)+i\right) b}{i b -2 a}}\, \EllipticE \left(\sqrt{-\frac{2 a +b \sinh \left(2 d x +2 c \right)}{i b -2 a}}, \sqrt{-\frac{i b -2 a}{i b +2 a}}\right) b^{4}+3 b^{4} \left(\sinh^{4}\left(2 d x +2 c \right)\right)+28 a \,b^{3} \left(\sinh^{3}\left(2 d x +2 c \right)\right)+44 a^{2} b^{2} \left(\sinh^{2}\left(2 d x +2 c \right)\right)+3 b^{4} \left(\sinh^{2}\left(2 d x +2 c \right)\right)+28 a \,b^{3} \sinh \left(2 d x +2 c \right)+44 a^{2} b^{2}}{60 b \cosh \left(2 d x +2 c \right) \sqrt{4 a +2 b \sinh \left(2 d x +2 c \right)}\, d}"," ",0,"1/60*(64*I*(-(2*a+b*sinh(2*d*x+2*c))/(I*b-2*a))^(1/2)*((-sinh(2*d*x+2*c)+I)*b/(I*b+2*a))^(1/2)*((sinh(2*d*x+2*c)+I)*b/(I*b-2*a))^(1/2)*EllipticF((-(2*a+b*sinh(2*d*x+2*c))/(I*b-2*a))^(1/2),(-(I*b-2*a)/(I*b+2*a))^(1/2))*a^3*b+16*I*(-(2*a+b*sinh(2*d*x+2*c))/(I*b-2*a))^(1/2)*((-sinh(2*d*x+2*c)+I)*b/(I*b+2*a))^(1/2)*((sinh(2*d*x+2*c)+I)*b/(I*b-2*a))^(1/2)*EllipticF((-(2*a+b*sinh(2*d*x+2*c))/(I*b-2*a))^(1/2),(-(I*b-2*a)/(I*b+2*a))^(1/2))*a*b^3+240*(-(2*a+b*sinh(2*d*x+2*c))/(I*b-2*a))^(1/2)*((-sinh(2*d*x+2*c)+I)*b/(I*b+2*a))^(1/2)*((sinh(2*d*x+2*c)+I)*b/(I*b-2*a))^(1/2)*EllipticF((-(2*a+b*sinh(2*d*x+2*c))/(I*b-2*a))^(1/2),(-(I*b-2*a)/(I*b+2*a))^(1/2))*a^4+24*(-(2*a+b*sinh(2*d*x+2*c))/(I*b-2*a))^(1/2)*((-sinh(2*d*x+2*c)+I)*b/(I*b+2*a))^(1/2)*((sinh(2*d*x+2*c)+I)*b/(I*b-2*a))^(1/2)*EllipticF((-(2*a+b*sinh(2*d*x+2*c))/(I*b-2*a))^(1/2),(-(I*b-2*a)/(I*b+2*a))^(1/2))*a^2*b^2-9*(-(2*a+b*sinh(2*d*x+2*c))/(I*b-2*a))^(1/2)*((-sinh(2*d*x+2*c)+I)*b/(I*b+2*a))^(1/2)*((sinh(2*d*x+2*c)+I)*b/(I*b-2*a))^(1/2)*EllipticF((-(2*a+b*sinh(2*d*x+2*c))/(I*b-2*a))^(1/2),(-(I*b-2*a)/(I*b+2*a))^(1/2))*b^4-368*(-(2*a+b*sinh(2*d*x+2*c))/(I*b-2*a))^(1/2)*((-sinh(2*d*x+2*c)+I)*b/(I*b+2*a))^(1/2)*((sinh(2*d*x+2*c)+I)*b/(I*b-2*a))^(1/2)*EllipticE((-(2*a+b*sinh(2*d*x+2*c))/(I*b-2*a))^(1/2),(-(I*b-2*a)/(I*b+2*a))^(1/2))*a^4-56*(-(2*a+b*sinh(2*d*x+2*c))/(I*b-2*a))^(1/2)*((-sinh(2*d*x+2*c)+I)*b/(I*b+2*a))^(1/2)*((sinh(2*d*x+2*c)+I)*b/(I*b-2*a))^(1/2)*EllipticE((-(2*a+b*sinh(2*d*x+2*c))/(I*b-2*a))^(1/2),(-(I*b-2*a)/(I*b+2*a))^(1/2))*a^2*b^2+9*(-(2*a+b*sinh(2*d*x+2*c))/(I*b-2*a))^(1/2)*((-sinh(2*d*x+2*c)+I)*b/(I*b+2*a))^(1/2)*((sinh(2*d*x+2*c)+I)*b/(I*b-2*a))^(1/2)*EllipticE((-(2*a+b*sinh(2*d*x+2*c))/(I*b-2*a))^(1/2),(-(I*b-2*a)/(I*b+2*a))^(1/2))*b^4+3*b^4*sinh(2*d*x+2*c)^4+28*a*b^3*sinh(2*d*x+2*c)^3+44*a^2*b^2*sinh(2*d*x+2*c)^2+3*b^4*sinh(2*d*x+2*c)^2+28*a*b^3*sinh(2*d*x+2*c)+44*a^2*b^2)/b/cosh(2*d*x+2*c)/(4*a+2*b*sinh(2*d*x+2*c))^(1/2)/d","B"
862,1,935,284,1.082000," ","int((a+b*cosh(d*x+c)*sinh(d*x+c))^(3/2),x)","\frac{4 i \sqrt{-\frac{2 a +b \sinh \left(2 d x +2 c \right)}{i b -2 a}}\, \sqrt{\frac{\left(-\sinh \left(2 d x +2 c \right)+i\right) b}{i b +2 a}}\, \sqrt{\frac{\left(\sinh \left(2 d x +2 c \right)+i\right) b}{i b -2 a}}\, \EllipticF \left(\sqrt{-\frac{2 a +b \sinh \left(2 d x +2 c \right)}{i b -2 a}}, \sqrt{-\frac{i b -2 a}{i b +2 a}}\right) a^{2} b +i \sqrt{-\frac{2 a +b \sinh \left(2 d x +2 c \right)}{i b -2 a}}\, \sqrt{\frac{\left(-\sinh \left(2 d x +2 c \right)+i\right) b}{i b +2 a}}\, \sqrt{\frac{\left(\sinh \left(2 d x +2 c \right)+i\right) b}{i b -2 a}}\, \EllipticF \left(\sqrt{-\frac{2 a +b \sinh \left(2 d x +2 c \right)}{i b -2 a}}, \sqrt{-\frac{i b -2 a}{i b +2 a}}\right) b^{3}+24 \sqrt{-\frac{2 a +b \sinh \left(2 d x +2 c \right)}{i b -2 a}}\, \sqrt{\frac{\left(-\sinh \left(2 d x +2 c \right)+i\right) b}{i b +2 a}}\, \sqrt{\frac{\left(\sinh \left(2 d x +2 c \right)+i\right) b}{i b -2 a}}\, \EllipticF \left(\sqrt{-\frac{2 a +b \sinh \left(2 d x +2 c \right)}{i b -2 a}}, \sqrt{-\frac{i b -2 a}{i b +2 a}}\right) a^{3}+6 \sqrt{-\frac{2 a +b \sinh \left(2 d x +2 c \right)}{i b -2 a}}\, \sqrt{\frac{\left(-\sinh \left(2 d x +2 c \right)+i\right) b}{i b +2 a}}\, \sqrt{\frac{\left(\sinh \left(2 d x +2 c \right)+i\right) b}{i b -2 a}}\, \EllipticF \left(\sqrt{-\frac{2 a +b \sinh \left(2 d x +2 c \right)}{i b -2 a}}, \sqrt{-\frac{i b -2 a}{i b +2 a}}\right) a \,b^{2}-32 \sqrt{-\frac{2 a +b \sinh \left(2 d x +2 c \right)}{i b -2 a}}\, \sqrt{\frac{\left(-\sinh \left(2 d x +2 c \right)+i\right) b}{i b +2 a}}\, \sqrt{\frac{\left(\sinh \left(2 d x +2 c \right)+i\right) b}{i b -2 a}}\, \EllipticE \left(\sqrt{-\frac{2 a +b \sinh \left(2 d x +2 c \right)}{i b -2 a}}, \sqrt{-\frac{i b -2 a}{i b +2 a}}\right) a^{3}-8 \sqrt{-\frac{2 a +b \sinh \left(2 d x +2 c \right)}{i b -2 a}}\, \sqrt{\frac{\left(-\sinh \left(2 d x +2 c \right)+i\right) b}{i b +2 a}}\, \sqrt{\frac{\left(\sinh \left(2 d x +2 c \right)+i\right) b}{i b -2 a}}\, \EllipticE \left(\sqrt{-\frac{2 a +b \sinh \left(2 d x +2 c \right)}{i b -2 a}}, \sqrt{-\frac{i b -2 a}{i b +2 a}}\right) a \,b^{2}+b^{3} \left(\sinh^{3}\left(2 d x +2 c \right)\right)+2 a \,b^{2} \left(\sinh^{2}\left(2 d x +2 c \right)\right)+b^{3} \sinh \left(2 d x +2 c \right)+2 a \,b^{2}}{6 b \cosh \left(2 d x +2 c \right) \sqrt{4 a +2 b \sinh \left(2 d x +2 c \right)}\, d}"," ",0,"1/6*(4*I*(-(2*a+b*sinh(2*d*x+2*c))/(I*b-2*a))^(1/2)*((-sinh(2*d*x+2*c)+I)*b/(I*b+2*a))^(1/2)*((sinh(2*d*x+2*c)+I)*b/(I*b-2*a))^(1/2)*EllipticF((-(2*a+b*sinh(2*d*x+2*c))/(I*b-2*a))^(1/2),(-(I*b-2*a)/(I*b+2*a))^(1/2))*a^2*b+I*(-(2*a+b*sinh(2*d*x+2*c))/(I*b-2*a))^(1/2)*((-sinh(2*d*x+2*c)+I)*b/(I*b+2*a))^(1/2)*((sinh(2*d*x+2*c)+I)*b/(I*b-2*a))^(1/2)*EllipticF((-(2*a+b*sinh(2*d*x+2*c))/(I*b-2*a))^(1/2),(-(I*b-2*a)/(I*b+2*a))^(1/2))*b^3+24*(-(2*a+b*sinh(2*d*x+2*c))/(I*b-2*a))^(1/2)*((-sinh(2*d*x+2*c)+I)*b/(I*b+2*a))^(1/2)*((sinh(2*d*x+2*c)+I)*b/(I*b-2*a))^(1/2)*EllipticF((-(2*a+b*sinh(2*d*x+2*c))/(I*b-2*a))^(1/2),(-(I*b-2*a)/(I*b+2*a))^(1/2))*a^3+6*(-(2*a+b*sinh(2*d*x+2*c))/(I*b-2*a))^(1/2)*((-sinh(2*d*x+2*c)+I)*b/(I*b+2*a))^(1/2)*((sinh(2*d*x+2*c)+I)*b/(I*b-2*a))^(1/2)*EllipticF((-(2*a+b*sinh(2*d*x+2*c))/(I*b-2*a))^(1/2),(-(I*b-2*a)/(I*b+2*a))^(1/2))*a*b^2-32*(-(2*a+b*sinh(2*d*x+2*c))/(I*b-2*a))^(1/2)*((-sinh(2*d*x+2*c)+I)*b/(I*b+2*a))^(1/2)*((sinh(2*d*x+2*c)+I)*b/(I*b-2*a))^(1/2)*EllipticE((-(2*a+b*sinh(2*d*x+2*c))/(I*b-2*a))^(1/2),(-(I*b-2*a)/(I*b+2*a))^(1/2))*a^3-8*(-(2*a+b*sinh(2*d*x+2*c))/(I*b-2*a))^(1/2)*((-sinh(2*d*x+2*c)+I)*b/(I*b+2*a))^(1/2)*((sinh(2*d*x+2*c)+I)*b/(I*b-2*a))^(1/2)*EllipticE((-(2*a+b*sinh(2*d*x+2*c))/(I*b-2*a))^(1/2),(-(I*b-2*a)/(I*b+2*a))^(1/2))*a*b^2+b^3*sinh(2*d*x+2*c)^3+2*a*b^2*sinh(2*d*x+2*c)^2+b^3*sinh(2*d*x+2*c)+2*a*b^2)/b/cosh(2*d*x+2*c)/(4*a+2*b*sinh(2*d*x+2*c))^(1/2)/d","B"
863,1,351,119,1.171000," ","int((a+b*cosh(d*x+c)*sinh(d*x+c))^(1/2),x)","\frac{\left(i b -2 a \right) \sqrt{-\frac{2 a +b \sinh \left(2 d x +2 c \right)}{i b -2 a}}\, \sqrt{\frac{\left(-\sinh \left(2 d x +2 c \right)+i\right) b}{i b +2 a}}\, \sqrt{\frac{\left(\sinh \left(2 d x +2 c \right)+i\right) b}{i b -2 a}}\, \left(i \EllipticE \left(\sqrt{-\frac{2 a +b \sinh \left(2 d x +2 c \right)}{i b -2 a}}, \sqrt{-\frac{i b -2 a}{i b +2 a}}\right) b -i \EllipticF \left(\sqrt{-\frac{2 a +b \sinh \left(2 d x +2 c \right)}{i b -2 a}}, \sqrt{-\frac{i b -2 a}{i b +2 a}}\right) b +2 \EllipticE \left(\sqrt{-\frac{2 a +b \sinh \left(2 d x +2 c \right)}{i b -2 a}}, \sqrt{-\frac{i b -2 a}{i b +2 a}}\right) a -2 a \EllipticF \left(\sqrt{-\frac{2 a +b \sinh \left(2 d x +2 c \right)}{i b -2 a}}, \sqrt{-\frac{i b -2 a}{i b +2 a}}\right)\right)}{b \cosh \left(2 d x +2 c \right) \sqrt{4 a +2 b \sinh \left(2 d x +2 c \right)}\, d}"," ",0,"1/b*(I*b-2*a)*(-(2*a+b*sinh(2*d*x+2*c))/(I*b-2*a))^(1/2)*((-sinh(2*d*x+2*c)+I)*b/(I*b+2*a))^(1/2)*((sinh(2*d*x+2*c)+I)*b/(I*b-2*a))^(1/2)*(I*EllipticE((-(2*a+b*sinh(2*d*x+2*c))/(I*b-2*a))^(1/2),(-(I*b-2*a)/(I*b+2*a))^(1/2))*b-I*EllipticF((-(2*a+b*sinh(2*d*x+2*c))/(I*b-2*a))^(1/2),(-(I*b-2*a)/(I*b+2*a))^(1/2))*b+2*EllipticE((-(2*a+b*sinh(2*d*x+2*c))/(I*b-2*a))^(1/2),(-(I*b-2*a)/(I*b+2*a))^(1/2))*a-2*a*EllipticF((-(2*a+b*sinh(2*d*x+2*c))/(I*b-2*a))^(1/2),(-(I*b-2*a)/(I*b+2*a))^(1/2)))/cosh(2*d*x+2*c)/(4*a+2*b*sinh(2*d*x+2*c))^(1/2)/d","B"
864,1,181,119,0.895000," ","int(1/(a+b*cosh(d*x+c)*sinh(d*x+c))^(1/2),x)","-\frac{2 \left(i b -2 a \right) \sqrt{-\frac{2 a +b \sinh \left(2 d x +2 c \right)}{i b -2 a}}\, \sqrt{\frac{\left(-\sinh \left(2 d x +2 c \right)+i\right) b}{i b +2 a}}\, \sqrt{\frac{\left(\sinh \left(2 d x +2 c \right)+i\right) b}{i b -2 a}}\, \EllipticF \left(\sqrt{-\frac{2 a +b \sinh \left(2 d x +2 c \right)}{i b -2 a}}, \sqrt{-\frac{i b -2 a}{i b +2 a}}\right)}{b \cosh \left(2 d x +2 c \right) \sqrt{4 a +2 b \sinh \left(2 d x +2 c \right)}\, d}"," ",0,"-2*(I*b-2*a)*(-(2*a+b*sinh(2*d*x+2*c))/(I*b-2*a))^(1/2)*((-sinh(2*d*x+2*c)+I)*b/(I*b+2*a))^(1/2)*((sinh(2*d*x+2*c)+I)*b/(I*b-2*a))^(1/2)*EllipticF((-(2*a+b*sinh(2*d*x+2*c))/(I*b-2*a))^(1/2),(-(I*b-2*a)/(I*b+2*a))^(1/2))/b/cosh(2*d*x+2*c)/(4*a+2*b*sinh(2*d*x+2*c))^(1/2)/d","A"
865,1,630,177,1.086000," ","int(1/(a+b*cosh(d*x+c)*sinh(d*x+c))^(3/2),x)","\frac{16 \sqrt{-\frac{2 a +b \sinh \left(2 d x +2 c \right)}{i b -2 a}}\, \sqrt{\frac{\left(-\sinh \left(2 d x +2 c \right)+i\right) b}{i b +2 a}}\, \sqrt{\frac{\left(\sinh \left(2 d x +2 c \right)+i\right) b}{i b -2 a}}\, \EllipticF \left(\sqrt{-\frac{2 a +b \sinh \left(2 d x +2 c \right)}{i b -2 a}}, \sqrt{-\frac{i b -2 a}{i b +2 a}}\right) a^{2}+4 \sqrt{-\frac{2 a +b \sinh \left(2 d x +2 c \right)}{i b -2 a}}\, \sqrt{\frac{\left(-\sinh \left(2 d x +2 c \right)+i\right) b}{i b +2 a}}\, \sqrt{\frac{\left(\sinh \left(2 d x +2 c \right)+i\right) b}{i b -2 a}}\, \EllipticF \left(\sqrt{-\frac{2 a +b \sinh \left(2 d x +2 c \right)}{i b -2 a}}, \sqrt{-\frac{i b -2 a}{i b +2 a}}\right) b^{2}-16 \sqrt{-\frac{2 a +b \sinh \left(2 d x +2 c \right)}{i b -2 a}}\, \sqrt{\frac{\left(-\sinh \left(2 d x +2 c \right)+i\right) b}{i b +2 a}}\, \sqrt{\frac{\left(\sinh \left(2 d x +2 c \right)+i\right) b}{i b -2 a}}\, \EllipticE \left(\sqrt{-\frac{2 a +b \sinh \left(2 d x +2 c \right)}{i b -2 a}}, \sqrt{-\frac{i b -2 a}{i b +2 a}}\right) a^{2}-4 \sqrt{-\frac{2 a +b \sinh \left(2 d x +2 c \right)}{i b -2 a}}\, \sqrt{\frac{\left(-\sinh \left(2 d x +2 c \right)+i\right) b}{i b +2 a}}\, \sqrt{\frac{\left(\sinh \left(2 d x +2 c \right)+i\right) b}{i b -2 a}}\, \EllipticE \left(\sqrt{-\frac{2 a +b \sinh \left(2 d x +2 c \right)}{i b -2 a}}, \sqrt{-\frac{i b -2 a}{i b +2 a}}\right) b^{2}-4 b^{2} \left(\sinh^{2}\left(2 d x +2 c \right)\right)-4 b^{2}}{\left(4 a^{2}+b^{2}\right) b \cosh \left(2 d x +2 c \right) \sqrt{4 a +2 b \sinh \left(2 d x +2 c \right)}\, d}"," ",0,"4*(4*(-(2*a+b*sinh(2*d*x+2*c))/(I*b-2*a))^(1/2)*((-sinh(2*d*x+2*c)+I)*b/(I*b+2*a))^(1/2)*((sinh(2*d*x+2*c)+I)*b/(I*b-2*a))^(1/2)*EllipticF((-(2*a+b*sinh(2*d*x+2*c))/(I*b-2*a))^(1/2),(-(I*b-2*a)/(I*b+2*a))^(1/2))*a^2+(-(2*a+b*sinh(2*d*x+2*c))/(I*b-2*a))^(1/2)*((-sinh(2*d*x+2*c)+I)*b/(I*b+2*a))^(1/2)*((sinh(2*d*x+2*c)+I)*b/(I*b-2*a))^(1/2)*EllipticF((-(2*a+b*sinh(2*d*x+2*c))/(I*b-2*a))^(1/2),(-(I*b-2*a)/(I*b+2*a))^(1/2))*b^2-4*(-(2*a+b*sinh(2*d*x+2*c))/(I*b-2*a))^(1/2)*((-sinh(2*d*x+2*c)+I)*b/(I*b+2*a))^(1/2)*((sinh(2*d*x+2*c)+I)*b/(I*b-2*a))^(1/2)*EllipticE((-(2*a+b*sinh(2*d*x+2*c))/(I*b-2*a))^(1/2),(-(I*b-2*a)/(I*b+2*a))^(1/2))*a^2-(-(2*a+b*sinh(2*d*x+2*c))/(I*b-2*a))^(1/2)*((-sinh(2*d*x+2*c)+I)*b/(I*b+2*a))^(1/2)*((sinh(2*d*x+2*c)+I)*b/(I*b-2*a))^(1/2)*EllipticE((-(2*a+b*sinh(2*d*x+2*c))/(I*b-2*a))^(1/2),(-(I*b-2*a)/(I*b+2*a))^(1/2))*b^2-b^2*sinh(2*d*x+2*c)^2-b^2)/(4*a^2+b^2)/b/cosh(2*d*x+2*c)/(4*a+2*b*sinh(2*d*x+2*c))^(1/2)/d","B"
866,1,641,355,1.859000," ","int(1/(a+b*cosh(d*x+c)*sinh(d*x+c))^(5/2),x)","\frac{4 \sqrt{\left(2 a +b \sinh \left(2 d x +2 c \right)\right) \left(\cosh^{2}\left(2 d x +2 c \right)\right)}\, \left(-\frac{2 \sqrt{\left(2 a +b \sinh \left(2 d x +2 c \right)\right) \left(\cosh^{2}\left(2 d x +2 c \right)\right)}}{3 b \left(4 a^{2}+b^{2}\right) \left(\sinh \left(2 d x +2 c \right)+\frac{2 a}{b}\right)^{2}}-\frac{16 b \left(\cosh^{2}\left(2 d x +2 c \right)\right) a}{3 \left(4 a^{2}+b^{2}\right)^{2} \sqrt{\left(2 a +b \sinh \left(2 d x +2 c \right)\right) \left(\cosh^{2}\left(2 d x +2 c \right)\right)}}+\frac{2 \left(12 a^{2}-b^{2}\right) \left(\frac{2 a}{b}-i\right) \sqrt{\frac{-b \sinh \left(2 d x +2 c \right)-2 a}{i b -2 a}}\, \sqrt{\frac{\left(-\sinh \left(2 d x +2 c \right)+i\right) b}{i b +2 a}}\, \sqrt{\frac{\left(\sinh \left(2 d x +2 c \right)+i\right) b}{i b -2 a}}\, \EllipticF \left(\sqrt{\frac{-b \sinh \left(2 d x +2 c \right)-2 a}{i b -2 a}}, \sqrt{\frac{-i b +2 a}{i b +2 a}}\right)}{\left(48 a^{4}+24 a^{2} b^{2}+3 b^{4}\right) \sqrt{\left(2 a +b \sinh \left(2 d x +2 c \right)\right) \left(\cosh^{2}\left(2 d x +2 c \right)\right)}}+\frac{16 a b \left(\frac{2 a}{b}-i\right) \sqrt{\frac{-b \sinh \left(2 d x +2 c \right)-2 a}{i b -2 a}}\, \sqrt{\frac{\left(-\sinh \left(2 d x +2 c \right)+i\right) b}{i b +2 a}}\, \sqrt{\frac{\left(\sinh \left(2 d x +2 c \right)+i\right) b}{i b -2 a}}\, \left(\left(-\frac{2 a}{b}-i\right) \EllipticE \left(\sqrt{\frac{-b \sinh \left(2 d x +2 c \right)-2 a}{i b -2 a}}, \sqrt{\frac{-i b +2 a}{i b +2 a}}\right)+i \EllipticF \left(\sqrt{\frac{-b \sinh \left(2 d x +2 c \right)-2 a}{i b -2 a}}, \sqrt{\frac{-i b +2 a}{i b +2 a}}\right)\right)}{3 \left(4 a^{2}+b^{2}\right)^{2} \sqrt{\left(2 a +b \sinh \left(2 d x +2 c \right)\right) \left(\cosh^{2}\left(2 d x +2 c \right)\right)}}\right)}{\cosh \left(2 d x +2 c \right) \sqrt{4 a +2 b \sinh \left(2 d x +2 c \right)}\, d}"," ",0,"4*((2*a+b*sinh(2*d*x+2*c))*cosh(2*d*x+2*c)^2)^(1/2)*(-2/3/b/(4*a^2+b^2)*((2*a+b*sinh(2*d*x+2*c))*cosh(2*d*x+2*c)^2)^(1/2)/(sinh(2*d*x+2*c)+2*a/b)^2-16/3*b*cosh(2*d*x+2*c)^2/(4*a^2+b^2)^2*a/((2*a+b*sinh(2*d*x+2*c))*cosh(2*d*x+2*c)^2)^(1/2)+2*(12*a^2-b^2)/(48*a^4+24*a^2*b^2+3*b^4)*(2*a/b-I)*((-b*sinh(2*d*x+2*c)-2*a)/(I*b-2*a))^(1/2)*((-sinh(2*d*x+2*c)+I)*b/(I*b+2*a))^(1/2)*((sinh(2*d*x+2*c)+I)*b/(I*b-2*a))^(1/2)/((2*a+b*sinh(2*d*x+2*c))*cosh(2*d*x+2*c)^2)^(1/2)*EllipticF(((-b*sinh(2*d*x+2*c)-2*a)/(I*b-2*a))^(1/2),((2*a-I*b)/(I*b+2*a))^(1/2))+16/3*a*b/(4*a^2+b^2)^2*(2*a/b-I)*((-b*sinh(2*d*x+2*c)-2*a)/(I*b-2*a))^(1/2)*((-sinh(2*d*x+2*c)+I)*b/(I*b+2*a))^(1/2)*((sinh(2*d*x+2*c)+I)*b/(I*b-2*a))^(1/2)/((2*a+b*sinh(2*d*x+2*c))*cosh(2*d*x+2*c)^2)^(1/2)*((-2*a/b-I)*EllipticE(((-b*sinh(2*d*x+2*c)-2*a)/(I*b-2*a))^(1/2),((2*a-I*b)/(I*b+2*a))^(1/2))+I*EllipticF(((-b*sinh(2*d*x+2*c)-2*a)/(I*b-2*a))^(1/2),((2*a-I*b)/(I*b+2*a))^(1/2))))/cosh(2*d*x+2*c)/(4*a+2*b*sinh(2*d*x+2*c))^(1/2)/d","A"
867,1,687,334,0.319000," ","int(x^3/(a+b*cosh(x)*sinh(x)),x)","\frac{\ln \left(1-\frac{b \,{\mathrm e}^{2 x}}{-2 a -\sqrt{4 a^{2}+b^{2}}}\right) x^{3}}{-2 a -\sqrt{4 a^{2}+b^{2}}}-\frac{x^{4}}{2 \left(-2 a -\sqrt{4 a^{2}+b^{2}}\right)}+\frac{2 \ln \left(1-\frac{b \,{\mathrm e}^{2 x}}{-2 a -\sqrt{4 a^{2}+b^{2}}}\right) a \,x^{3}}{\sqrt{4 a^{2}+b^{2}}\, \left(-2 a -\sqrt{4 a^{2}+b^{2}}\right)}-\frac{a \,x^{4}}{\sqrt{4 a^{2}+b^{2}}\, \left(-2 a -\sqrt{4 a^{2}+b^{2}}\right)}+\frac{3 \polylog \left(2, \frac{b \,{\mathrm e}^{2 x}}{-2 a -\sqrt{4 a^{2}+b^{2}}}\right) x^{2}}{2 \left(-2 a -\sqrt{4 a^{2}+b^{2}}\right)}+\frac{3 \polylog \left(2, \frac{b \,{\mathrm e}^{2 x}}{-2 a -\sqrt{4 a^{2}+b^{2}}}\right) a \,x^{2}}{\sqrt{4 a^{2}+b^{2}}\, \left(-2 a -\sqrt{4 a^{2}+b^{2}}\right)}-\frac{3 \polylog \left(3, \frac{b \,{\mathrm e}^{2 x}}{-2 a -\sqrt{4 a^{2}+b^{2}}}\right) x}{2 \left(-2 a -\sqrt{4 a^{2}+b^{2}}\right)}-\frac{3 \polylog \left(3, \frac{b \,{\mathrm e}^{2 x}}{-2 a -\sqrt{4 a^{2}+b^{2}}}\right) a x}{\sqrt{4 a^{2}+b^{2}}\, \left(-2 a -\sqrt{4 a^{2}+b^{2}}\right)}+\frac{3 \polylog \left(4, \frac{b \,{\mathrm e}^{2 x}}{-2 a -\sqrt{4 a^{2}+b^{2}}}\right)}{4 \left(-2 a -\sqrt{4 a^{2}+b^{2}}\right)}+\frac{3 \polylog \left(4, \frac{b \,{\mathrm e}^{2 x}}{-2 a -\sqrt{4 a^{2}+b^{2}}}\right) a}{2 \sqrt{4 a^{2}+b^{2}}\, \left(-2 a -\sqrt{4 a^{2}+b^{2}}\right)}+\frac{x^{3} \ln \left(1-\frac{b \,{\mathrm e}^{2 x}}{\sqrt{4 a^{2}+b^{2}}-2 a}\right)}{\sqrt{4 a^{2}+b^{2}}}-\frac{x^{4}}{2 \sqrt{4 a^{2}+b^{2}}}+\frac{3 x^{2} \polylog \left(2, \frac{b \,{\mathrm e}^{2 x}}{\sqrt{4 a^{2}+b^{2}}-2 a}\right)}{2 \sqrt{4 a^{2}+b^{2}}}-\frac{3 x \polylog \left(3, \frac{b \,{\mathrm e}^{2 x}}{\sqrt{4 a^{2}+b^{2}}-2 a}\right)}{2 \sqrt{4 a^{2}+b^{2}}}+\frac{3 \polylog \left(4, \frac{b \,{\mathrm e}^{2 x}}{\sqrt{4 a^{2}+b^{2}}-2 a}\right)}{4 \sqrt{4 a^{2}+b^{2}}}"," ",0,"1/(-2*a-(4*a^2+b^2)^(1/2))*ln(1-b*exp(2*x)/(-2*a-(4*a^2+b^2)^(1/2)))*x^3-1/2/(-2*a-(4*a^2+b^2)^(1/2))*x^4+2/(4*a^2+b^2)^(1/2)/(-2*a-(4*a^2+b^2)^(1/2))*ln(1-b*exp(2*x)/(-2*a-(4*a^2+b^2)^(1/2)))*a*x^3-1/(4*a^2+b^2)^(1/2)/(-2*a-(4*a^2+b^2)^(1/2))*a*x^4+3/2/(-2*a-(4*a^2+b^2)^(1/2))*polylog(2,b*exp(2*x)/(-2*a-(4*a^2+b^2)^(1/2)))*x^2+3/(4*a^2+b^2)^(1/2)/(-2*a-(4*a^2+b^2)^(1/2))*polylog(2,b*exp(2*x)/(-2*a-(4*a^2+b^2)^(1/2)))*a*x^2-3/2/(-2*a-(4*a^2+b^2)^(1/2))*polylog(3,b*exp(2*x)/(-2*a-(4*a^2+b^2)^(1/2)))*x-3/(4*a^2+b^2)^(1/2)/(-2*a-(4*a^2+b^2)^(1/2))*polylog(3,b*exp(2*x)/(-2*a-(4*a^2+b^2)^(1/2)))*a*x+3/4/(-2*a-(4*a^2+b^2)^(1/2))*polylog(4,b*exp(2*x)/(-2*a-(4*a^2+b^2)^(1/2)))+3/2/(4*a^2+b^2)^(1/2)/(-2*a-(4*a^2+b^2)^(1/2))*polylog(4,b*exp(2*x)/(-2*a-(4*a^2+b^2)^(1/2)))*a+1/(4*a^2+b^2)^(1/2)*x^3*ln(1-b*exp(2*x)/((4*a^2+b^2)^(1/2)-2*a))-1/2/(4*a^2+b^2)^(1/2)*x^4+3/2/(4*a^2+b^2)^(1/2)*x^2*polylog(2,b*exp(2*x)/((4*a^2+b^2)^(1/2)-2*a))-3/2/(4*a^2+b^2)^(1/2)*x*polylog(3,b*exp(2*x)/((4*a^2+b^2)^(1/2)-2*a))+3/4/(4*a^2+b^2)^(1/2)*polylog(4,b*exp(2*x)/((4*a^2+b^2)^(1/2)-2*a))","B"
868,1,530,247,0.312000," ","int(x^2/(a+b*cosh(x)*sinh(x)),x)","-\frac{2 x^{3}}{3 \left(-2 a -\sqrt{4 a^{2}+b^{2}}\right)}+\frac{x^{2} \ln \left(1-\frac{b \,{\mathrm e}^{2 x}}{-2 a -\sqrt{4 a^{2}+b^{2}}}\right)}{-2 a -\sqrt{4 a^{2}+b^{2}}}+\frac{x \polylog \left(2, \frac{b \,{\mathrm e}^{2 x}}{-2 a -\sqrt{4 a^{2}+b^{2}}}\right)}{-2 a -\sqrt{4 a^{2}+b^{2}}}-\frac{\polylog \left(3, \frac{b \,{\mathrm e}^{2 x}}{-2 a -\sqrt{4 a^{2}+b^{2}}}\right)}{2 \left(-2 a -\sqrt{4 a^{2}+b^{2}}\right)}-\frac{4 a \,x^{3}}{3 \sqrt{4 a^{2}+b^{2}}\, \left(-2 a -\sqrt{4 a^{2}+b^{2}}\right)}+\frac{2 a \,x^{2} \ln \left(1-\frac{b \,{\mathrm e}^{2 x}}{-2 a -\sqrt{4 a^{2}+b^{2}}}\right)}{\sqrt{4 a^{2}+b^{2}}\, \left(-2 a -\sqrt{4 a^{2}+b^{2}}\right)}+\frac{2 a x \polylog \left(2, \frac{b \,{\mathrm e}^{2 x}}{-2 a -\sqrt{4 a^{2}+b^{2}}}\right)}{\sqrt{4 a^{2}+b^{2}}\, \left(-2 a -\sqrt{4 a^{2}+b^{2}}\right)}-\frac{a \polylog \left(3, \frac{b \,{\mathrm e}^{2 x}}{-2 a -\sqrt{4 a^{2}+b^{2}}}\right)}{\sqrt{4 a^{2}+b^{2}}\, \left(-2 a -\sqrt{4 a^{2}+b^{2}}\right)}-\frac{2 x^{3}}{3 \sqrt{4 a^{2}+b^{2}}}+\frac{x^{2} \ln \left(1-\frac{b \,{\mathrm e}^{2 x}}{\sqrt{4 a^{2}+b^{2}}-2 a}\right)}{\sqrt{4 a^{2}+b^{2}}}+\frac{x \polylog \left(2, \frac{b \,{\mathrm e}^{2 x}}{\sqrt{4 a^{2}+b^{2}}-2 a}\right)}{\sqrt{4 a^{2}+b^{2}}}-\frac{\polylog \left(3, \frac{b \,{\mathrm e}^{2 x}}{\sqrt{4 a^{2}+b^{2}}-2 a}\right)}{2 \sqrt{4 a^{2}+b^{2}}}"," ",0,"-2/3/(-2*a-(4*a^2+b^2)^(1/2))*x^3+1/(-2*a-(4*a^2+b^2)^(1/2))*x^2*ln(1-b*exp(2*x)/(-2*a-(4*a^2+b^2)^(1/2)))+1/(-2*a-(4*a^2+b^2)^(1/2))*x*polylog(2,b*exp(2*x)/(-2*a-(4*a^2+b^2)^(1/2)))-1/2/(-2*a-(4*a^2+b^2)^(1/2))*polylog(3,b*exp(2*x)/(-2*a-(4*a^2+b^2)^(1/2)))-4/3/(4*a^2+b^2)^(1/2)/(-2*a-(4*a^2+b^2)^(1/2))*a*x^3+2/(4*a^2+b^2)^(1/2)/(-2*a-(4*a^2+b^2)^(1/2))*a*x^2*ln(1-b*exp(2*x)/(-2*a-(4*a^2+b^2)^(1/2)))+2/(4*a^2+b^2)^(1/2)/(-2*a-(4*a^2+b^2)^(1/2))*a*x*polylog(2,b*exp(2*x)/(-2*a-(4*a^2+b^2)^(1/2)))-1/(4*a^2+b^2)^(1/2)/(-2*a-(4*a^2+b^2)^(1/2))*a*polylog(3,b*exp(2*x)/(-2*a-(4*a^2+b^2)^(1/2)))-2/3/(4*a^2+b^2)^(1/2)*x^3+1/(4*a^2+b^2)^(1/2)*x^2*ln(1-b*exp(2*x)/((4*a^2+b^2)^(1/2)-2*a))+1/(4*a^2+b^2)^(1/2)*x*polylog(2,b*exp(2*x)/((4*a^2+b^2)^(1/2)-2*a))-1/2/(4*a^2+b^2)^(1/2)*polylog(3,b*exp(2*x)/((4*a^2+b^2)^(1/2)-2*a))","B"
869,1,376,162,0.303000," ","int(x/(a+b*cosh(x)*sinh(x)),x)","\frac{\ln \left(1-\frac{b \,{\mathrm e}^{2 x}}{-2 a -\sqrt{4 a^{2}+b^{2}}}\right) x}{-2 a -\sqrt{4 a^{2}+b^{2}}}+\frac{2 \ln \left(1-\frac{b \,{\mathrm e}^{2 x}}{-2 a -\sqrt{4 a^{2}+b^{2}}}\right) a x}{\sqrt{4 a^{2}+b^{2}}\, \left(-2 a -\sqrt{4 a^{2}+b^{2}}\right)}-\frac{x^{2}}{-2 a -\sqrt{4 a^{2}+b^{2}}}-\frac{2 a \,x^{2}}{\sqrt{4 a^{2}+b^{2}}\, \left(-2 a -\sqrt{4 a^{2}+b^{2}}\right)}+\frac{\polylog \left(2, \frac{b \,{\mathrm e}^{2 x}}{-2 a -\sqrt{4 a^{2}+b^{2}}}\right)}{-4 a -2 \sqrt{4 a^{2}+b^{2}}}+\frac{\polylog \left(2, \frac{b \,{\mathrm e}^{2 x}}{-2 a -\sqrt{4 a^{2}+b^{2}}}\right) a}{\sqrt{4 a^{2}+b^{2}}\, \left(-2 a -\sqrt{4 a^{2}+b^{2}}\right)}+\frac{x \ln \left(1-\frac{b \,{\mathrm e}^{2 x}}{\sqrt{4 a^{2}+b^{2}}-2 a}\right)}{\sqrt{4 a^{2}+b^{2}}}-\frac{x^{2}}{\sqrt{4 a^{2}+b^{2}}}+\frac{\polylog \left(2, \frac{b \,{\mathrm e}^{2 x}}{\sqrt{4 a^{2}+b^{2}}-2 a}\right)}{2 \sqrt{4 a^{2}+b^{2}}}"," ",0,"1/(-2*a-(4*a^2+b^2)^(1/2))*ln(1-b*exp(2*x)/(-2*a-(4*a^2+b^2)^(1/2)))*x+2/(4*a^2+b^2)^(1/2)/(-2*a-(4*a^2+b^2)^(1/2))*ln(1-b*exp(2*x)/(-2*a-(4*a^2+b^2)^(1/2)))*a*x-1/(-2*a-(4*a^2+b^2)^(1/2))*x^2-2/(4*a^2+b^2)^(1/2)/(-2*a-(4*a^2+b^2)^(1/2))*a*x^2+1/2/(-2*a-(4*a^2+b^2)^(1/2))*polylog(2,b*exp(2*x)/(-2*a-(4*a^2+b^2)^(1/2)))+1/(4*a^2+b^2)^(1/2)/(-2*a-(4*a^2+b^2)^(1/2))*polylog(2,b*exp(2*x)/(-2*a-(4*a^2+b^2)^(1/2)))*a+1/(4*a^2+b^2)^(1/2)*x*ln(1-b*exp(2*x)/((4*a^2+b^2)^(1/2)-2*a))-1/(4*a^2+b^2)^(1/2)*x^2+1/2/(4*a^2+b^2)^(1/2)*polylog(2,b*exp(2*x)/((4*a^2+b^2)^(1/2)-2*a))","B"
870,0,0,17,0.342000," ","int(1/x/(a+b*cosh(x)*sinh(x)),x)","\int \frac{1}{x \left(a +b \cosh \left(x \right) \sinh \left(x \right)\right)}\, dx"," ",0,"int(1/x/(a+b*cosh(x)*sinh(x)),x)","F"
871,0,0,92,0.114000," ","int(F^(c*(b*x+a))*sinh(e*x+d)^n,x)","\int F^{c \left(b x +a \right)} \left(\sinh^{n}\left(e x +d \right)\right)\, dx"," ",0,"int(F^(c*(b*x+a))*sinh(e*x+d)^n,x)","F"
872,1,80,54,0.282000," ","int(exp(2*b*x+2*a)*sinh(b*x+a)^3,x)","\frac{\sinh \left(b x +a \right)}{4 b}-\frac{\sinh \left(3 b x +3 a \right)}{8 b}+\frac{\sinh \left(5 b x +5 a \right)}{40 b}+\frac{\cosh \left(b x +a \right)}{2 b}-\frac{\cosh \left(3 b x +3 a \right)}{8 b}+\frac{\cosh \left(5 b x +5 a \right)}{40 b}"," ",0,"1/4*sinh(b*x+a)/b-1/8/b*sinh(3*b*x+3*a)+1/40/b*sinh(5*b*x+5*a)+1/2*cosh(b*x+a)/b-1/8*cosh(3*b*x+3*a)/b+1/40*cosh(5*b*x+5*a)/b","A"
873,1,61,32,0.195000," ","int(exp(2*b*x+2*a)*sinh(b*x+a)^2,x)","\frac{x}{4}-\frac{\sinh \left(2 b x +2 a \right)}{4 b}+\frac{\sinh \left(4 b x +4 a \right)}{16 b}-\frac{\cosh \left(2 b x +2 a \right)}{4 b}+\frac{\cosh \left(4 b x +4 a \right)}{16 b}"," ",0,"1/4*x-1/4*sinh(2*b*x+2*a)/b+1/16/b*sinh(4*b*x+4*a)-1/4*cosh(2*b*x+2*a)/b+1/16*cosh(4*b*x+4*a)/b","A"
874,1,52,26,0.154000," ","int(exp(2*b*x+2*a)*sinh(b*x+a),x)","-\frac{\sinh \left(b x +a \right)}{2 b}+\frac{\sinh \left(3 b x +3 a \right)}{6 b}-\frac{\cosh \left(b x +a \right)}{2 b}+\frac{\cosh \left(3 b x +3 a \right)}{6 b}"," ",0,"-1/2*sinh(b*x+a)/b+1/6/b*sinh(3*b*x+3*a)-1/2*cosh(b*x+a)/b+1/6*cosh(3*b*x+3*a)/b","A"
875,1,40,24,0.304000," ","int(exp(2*b*x+2*a)*csch(b*x+a),x)","\frac{2 \,{\mathrm e}^{b x +a}}{b}+\frac{\ln \left({\mathrm e}^{b x +a}-1\right)}{b}-\frac{\ln \left(1+{\mathrm e}^{b x +a}\right)}{b}"," ",0,"2*exp(b*x+a)/b+1/b*ln(exp(b*x+a)-1)-1/b*ln(1+exp(b*x+a))","A"
876,1,43,40,0.325000," ","int(exp(2*b*x+2*a)*csch(b*x+a)^2,x)","-\frac{4 a}{b}-\frac{2}{b \left({\mathrm e}^{2 b x +2 a}-1\right)}+\frac{2 \ln \left({\mathrm e}^{2 b x +2 a}-1\right)}{b}"," ",0,"-4*a/b-2/b/(exp(2*b*x+2*a)-1)+2/b*ln(exp(2*b*x+2*a)-1)","A"
877,1,67,68,0.342000," ","int(exp(2*b*x+2*a)*csch(b*x+a)^3,x)","-\frac{{\mathrm e}^{b x +a} \left(5 \,{\mathrm e}^{2 b x +2 a}-3\right)}{b \left({\mathrm e}^{2 b x +2 a}-1\right)^{2}}-\frac{3 \ln \left(1+{\mathrm e}^{b x +a}\right)}{2 b}+\frac{3 \ln \left({\mathrm e}^{b x +a}-1\right)}{2 b}"," ",0,"-exp(b*x+a)*(5*exp(2*b*x+2*a)-3)/b/(exp(2*b*x+2*a)-1)^2-3/2/b*ln(1+exp(b*x+a))+3/2/b*ln(exp(b*x+a)-1)","A"
878,1,166,135,0.326000," ","int(exp(b*x+a)*sinh(d*x+c)^3,x)","-\frac{\sinh \left(a -3 c +\left(b -3 d \right) x \right)}{8 \left(b -3 d \right)}+\frac{3 \sinh \left(a -c +\left(b -d \right) x \right)}{8 \left(b -d \right)}-\frac{3 \sinh \left(a +c +\left(b +d \right) x \right)}{8 \left(b +d \right)}+\frac{\sinh \left(a +3 c +\left(b +3 d \right) x \right)}{8 b +24 d}-\frac{\cosh \left(a -3 c +\left(b -3 d \right) x \right)}{8 \left(b -3 d \right)}+\frac{3 \cosh \left(a -c +\left(b -d \right) x \right)}{8 \left(b -d \right)}-\frac{3 \cosh \left(a +c +\left(b +d \right) x \right)}{8 \left(b +d \right)}+\frac{\cosh \left(a +3 c +\left(b +3 d \right) x \right)}{8 b +24 d}"," ",0,"-1/8*sinh(a-3*c+(b-3*d)*x)/(b-3*d)+3/8*sinh(a-c+(b-d)*x)/(b-d)-3/8*sinh(a+c+(b+d)*x)/(b+d)+1/8*sinh(a+3*c+(b+3*d)*x)/(b+3*d)-1/8*cosh(a-3*c+(b-3*d)*x)/(b-3*d)+3/8*cosh(a-c+(b-d)*x)/(b-d)-3/8*cosh(a+c+(b+d)*x)/(b+d)+1/8*cosh(a+3*c+(b+3*d)*x)/(b+3*d)","A"
879,1,112,85,0.228000," ","int(exp(b*x+a)*sinh(d*x+c)^2,x)","-\frac{\sinh \left(b x +a \right)}{2 b}+\frac{\sinh \left(a -2 c +\left(b -2 d \right) x \right)}{4 b -8 d}+\frac{\sinh \left(a +2 c +\left(b +2 d \right) x \right)}{4 b +8 d}-\frac{\cosh \left(b x +a \right)}{2 b}+\frac{\cosh \left(a -2 c +\left(b -2 d \right) x \right)}{4 b -8 d}+\frac{\cosh \left(a +2 c +\left(b +2 d \right) x \right)}{4 b +8 d}"," ",0,"-1/2*sinh(b*x+a)/b+1/4*sinh(a-2*c+(b-2*d)*x)/(b-2*d)+1/4*sinh(a+2*c+(b+2*d)*x)/(b+2*d)-1/2*cosh(b*x+a)/b+1/4*cosh(a-2*c+(b-2*d)*x)/(b-2*d)+1/4*cosh(a+2*c+(b+2*d)*x)/(b+2*d)","A"
880,1,78,52,0.171000," ","int(exp(b*x+a)*sinh(d*x+c),x)","-\frac{\sinh \left(a -c +\left(b -d \right) x \right)}{2 \left(b -d \right)}+\frac{\sinh \left(a +c +\left(b +d \right) x \right)}{2 b +2 d}-\frac{\cosh \left(a -c +\left(b -d \right) x \right)}{2 \left(b -d \right)}+\frac{\cosh \left(a +c +\left(b +d \right) x \right)}{2 b +2 d}"," ",0,"-1/2*sinh(a-c+(b-d)*x)/(b-d)+1/2*sinh(a+c+(b+d)*x)/(b+d)-1/2*cosh(a-c+(b-d)*x)/(b-d)+1/2*cosh(a+c+(b+d)*x)/(b+d)","A"
881,0,0,46,0.271000," ","int(exp(b*x+a)*csch(d*x+c),x)","\int {\mathrm e}^{b x +a} \mathrm{csch}\left(d x +c \right)\, dx"," ",0,"int(exp(b*x+a)*csch(d*x+c),x)","F"
882,0,0,51,0.339000," ","int(exp(d*x+c)*csch(b*x+a)^2,x)","\int {\mathrm e}^{d x +c} \mathrm{csch}\left(b x +a \right)^{2}\, dx"," ",0,"int(exp(d*x+c)*csch(b*x+a)^2,x)","F"
883,0,0,90,0.352000," ","int(exp(d*x+c)*csch(b*x+a)^3,x)","\int {\mathrm e}^{d x +c} \mathrm{csch}\left(b x +a \right)^{3}\, dx"," ",0,"int(exp(d*x+c)*csch(b*x+a)^3,x)","F"
884,0,0,92,0.190000," ","int(F^(c*(b*x+a))*cosh(e*x+d)^n,x)","\int F^{c \left(b x +a \right)} \left(\cosh^{n}\left(e x +d \right)\right)\, dx"," ",0,"int(F^(c*(b*x+a))*cosh(e*x+d)^n,x)","F"
885,1,166,135,0.361000," ","int(exp(b*x+a)*cosh(d*x+c)^3,x)","\frac{\sinh \left(a -3 c +\left(b -3 d \right) x \right)}{8 b -24 d}+\frac{3 \sinh \left(a -c +\left(b -d \right) x \right)}{8 \left(b -d \right)}+\frac{3 \sinh \left(a +c +\left(b +d \right) x \right)}{8 \left(b +d \right)}+\frac{\sinh \left(a +3 c +\left(b +3 d \right) x \right)}{8 b +24 d}+\frac{\cosh \left(a -3 c +\left(b -3 d \right) x \right)}{8 b -24 d}+\frac{3 \cosh \left(a -c +\left(b -d \right) x \right)}{8 \left(b -d \right)}+\frac{3 \cosh \left(a +c +\left(b +d \right) x \right)}{8 \left(b +d \right)}+\frac{\cosh \left(a +3 c +\left(b +3 d \right) x \right)}{8 b +24 d}"," ",0,"1/8*sinh(a-3*c+(b-3*d)*x)/(b-3*d)+3/8*sinh(a-c+(b-d)*x)/(b-d)+3/8*sinh(a+c+(b+d)*x)/(b+d)+1/8*sinh(a+3*c+(b+3*d)*x)/(b+3*d)+1/8*cosh(a-3*c+(b-3*d)*x)/(b-3*d)+3/8*cosh(a-c+(b-d)*x)/(b-d)+3/8*cosh(a+c+(b+d)*x)/(b+d)+1/8*cosh(a+3*c+(b+3*d)*x)/(b+3*d)","A"
886,1,112,85,0.286000," ","int(exp(b*x+a)*cosh(d*x+c)^2,x)","\frac{\sinh \left(b x +a \right)}{2 b}+\frac{\sinh \left(a -2 c +\left(b -2 d \right) x \right)}{4 b -8 d}+\frac{\sinh \left(a +2 c +\left(b +2 d \right) x \right)}{4 b +8 d}+\frac{\cosh \left(b x +a \right)}{2 b}+\frac{\cosh \left(a -2 c +\left(b -2 d \right) x \right)}{4 b -8 d}+\frac{\cosh \left(a +2 c +\left(b +2 d \right) x \right)}{4 b +8 d}"," ",0,"1/2*sinh(b*x+a)/b+1/4*sinh(a-2*c+(b-2*d)*x)/(b-2*d)+1/4*sinh(a+2*c+(b+2*d)*x)/(b+2*d)+1/2*cosh(b*x+a)/b+1/4*cosh(a-2*c+(b-2*d)*x)/(b-2*d)+1/4*cosh(a+2*c+(b+2*d)*x)/(b+2*d)","A"
887,1,78,52,0.191000," ","int(exp(b*x+a)*cosh(d*x+c),x)","\frac{\sinh \left(a -c +\left(b -d \right) x \right)}{2 b -2 d}+\frac{\sinh \left(a +c +\left(b +d \right) x \right)}{2 b +2 d}+\frac{\cosh \left(a -c +\left(b -d \right) x \right)}{2 b -2 d}+\frac{\cosh \left(a +c +\left(b +d \right) x \right)}{2 b +2 d}"," ",0,"1/2*sinh(a-c+(b-d)*x)/(b-d)+1/2*sinh(a+c+(b+d)*x)/(b+d)+1/2*cosh(a-c+(b-d)*x)/(b-d)+1/2*cosh(a+c+(b+d)*x)/(b+d)","A"
888,0,0,48,0.265000," ","int(exp(b*x+a)*sech(d*x+c),x)","\int {\mathrm e}^{b x +a} \mathrm{sech}\left(d x +c \right)\, dx"," ",0,"int(exp(b*x+a)*sech(d*x+c),x)","F"
889,0,0,53,0.336000," ","int(exp(b*x+a)*sech(d*x+c)^2,x)","\int {\mathrm e}^{b x +a} \mathrm{sech}\left(d x +c \right)^{2}\, dx"," ",0,"int(exp(b*x+a)*sech(d*x+c)^2,x)","F"
890,0,0,93,0.273000," ","int(exp(b*x+a)*sech(d*x+c)^3,x)","\int {\mathrm e}^{b x +a} \mathrm{sech}\left(d x +c \right)^{3}\, dx"," ",0,"int(exp(b*x+a)*sech(d*x+c)^3,x)","F"
891,0,0,88,0.328000," ","int(F^(c*(b*x+a))*sech(e*x+d)^n,x)","\int F^{c \left(b x +a \right)} \mathrm{sech}\left(e x +d \right)^{n}\, dx"," ",0,"int(F^(c*(b*x+a))*sech(e*x+d)^n,x)","F"
892,0,0,91,0.243000," ","int(F^(c*(b*x+a))*csch(e*x+d)^n,x)","\int F^{c \left(b x +a \right)} \mathrm{csch}\left(e x +d \right)^{n}\, dx"," ",0,"int(F^(c*(b*x+a))*csch(e*x+d)^n,x)","F"
893,1,434,252,0.646000," ","int(F^(c*(b*x+a))*(f+I*f*sinh(e*x+d))^2,x)","\frac{f^{2} \left(-4 i \ln \left(F \right)^{3} b^{3} c^{3} e \,{\mathrm e}^{3 e x +3 d}-\ln \left(F \right)^{4} b^{4} c^{4} {\mathrm e}^{4 e x +4 d}+16 i \ln \left(F \right) b c \,e^{3} {\mathrm e}^{3 e x +3 d}+6 \ln \left(F \right)^{4} b^{4} c^{4} {\mathrm e}^{2 e x +2 d}+16 i \ln \left(F \right) b c \,e^{3} {\mathrm e}^{e x +d}+2 \ln \left(F \right)^{3} b^{3} c^{3} e \,{\mathrm e}^{4 e x +4 d}-b^{4} c^{4} \ln \left(F \right)^{4}+16 i \ln \left(F \right)^{2} b^{2} c^{2} e^{2} {\mathrm e}^{e x +d}-4 i \ln \left(F \right)^{3} b^{3} c^{3} e \,{\mathrm e}^{e x +d}+\ln \left(F \right)^{2} b^{2} c^{2} e^{2} {\mathrm e}^{4 e x +4 d}-2 \ln \left(F \right)^{3} b^{3} c^{3} e +4 i \ln \left(F \right)^{4} b^{4} c^{4} {\mathrm e}^{3 e x +3 d}-30 \ln \left(F \right)^{2} b^{2} c^{2} e^{2} {\mathrm e}^{2 e x +2 d}-16 i \ln \left(F \right)^{2} b^{2} c^{2} e^{2} {\mathrm e}^{3 e x +3 d}-2 \ln \left(F \right) b c \,e^{3} {\mathrm e}^{4 e x +4 d}+b^{2} c^{2} e^{2} \ln \left(F \right)^{2}-4 i \ln \left(F \right)^{4} b^{4} c^{4} {\mathrm e}^{e x +d}+2 \ln \left(F \right) b c \,e^{3}+24 e^{4} {\mathrm e}^{2 e x +2 d}\right) {\mathrm e}^{-2 e x -2 d} F^{c \left(b x +a \right)}}{4 b c \ln \left(F \right) \left(e -b c \ln \left(F \right)\right) \left(2 e -b c \ln \left(F \right)\right) \left(e +b c \ln \left(F \right)\right) \left(b c \ln \left(F \right)+2 e \right)}"," ",0,"1/4*f^2*(-4*I*ln(F)^3*b^3*c^3*e*exp(3*e*x+3*d)-ln(F)^4*b^4*c^4*exp(4*e*x+4*d)+16*I*ln(F)*b*c*e^3*exp(3*e*x+3*d)+6*ln(F)^4*b^4*c^4*exp(2*e*x+2*d)+16*I*ln(F)*b*c*e^3*exp(e*x+d)+2*ln(F)^3*b^3*c^3*e*exp(4*e*x+4*d)-b^4*c^4*ln(F)^4+16*I*ln(F)^2*b^2*c^2*e^2*exp(e*x+d)-4*I*ln(F)^3*b^3*c^3*e*exp(e*x+d)+ln(F)^2*b^2*c^2*e^2*exp(4*e*x+4*d)-2*ln(F)^3*b^3*c^3*e+4*I*ln(F)^4*b^4*c^4*exp(3*e*x+3*d)-30*ln(F)^2*b^2*c^2*e^2*exp(2*e*x+2*d)-16*I*ln(F)^2*b^2*c^2*e^2*exp(3*e*x+3*d)-2*ln(F)*b*c*e^3*exp(4*e*x+4*d)+b^2*c^2*e^2*ln(F)^2-4*I*ln(F)^4*b^4*c^4*exp(e*x+d)+2*ln(F)*b*c*e^3+24*e^4*exp(2*e*x+2*d))/b/c/ln(F)/(e-b*c*ln(F))*exp(-2*e*x-2*d)/(2*e-b*c*ln(F))/(e+b*c*ln(F))/(b*c*ln(F)+2*e)*F^(c*(b*x+a))","A"
894,1,141,104,0.179000," ","int(F^(c*(b*x+a))*(f+I*f*sinh(e*x+d)),x)","\frac{f \left(-i \ln \left(F \right)^{2} b^{2} c^{2} {\mathrm e}^{2 e x +2 d}+i \ln \left(F \right)^{2} b^{2} c^{2}-2 \ln \left(F \right)^{2} b^{2} c^{2} {\mathrm e}^{e x +d}+i \ln \left(F \right) b c e \,{\mathrm e}^{2 e x +2 d}+i \ln \left(F \right) b c e +2 e^{2} {\mathrm e}^{e x +d}\right) {\mathrm e}^{-e x -d} F^{c \left(b x +a \right)}}{2 b c \ln \left(F \right) \left(e -b c \ln \left(F \right)\right) \left(e +b c \ln \left(F \right)\right)}"," ",0,"1/2*f*(-I*ln(F)^2*b^2*c^2*exp(2*e*x+2*d)+I*ln(F)^2*b^2*c^2-2*ln(F)^2*b^2*c^2*exp(e*x+d)+I*ln(F)*b*c*e*exp(2*e*x+2*d)+I*ln(F)*b*c*e+2*e^2*exp(e*x+d))/b/c/ln(F)/(e-b*c*ln(F))*exp(-e*x-d)/(e+b*c*ln(F))*F^(c*(b*x+a))","A"
895,0,0,69,0.155000," ","int(F^(c*(b*x+a))/(f+I*f*sinh(e*x+d)),x)","\int \frac{F^{c \left(b x +a \right)}}{f +i f \sinh \left(e x +d \right)}\, dx"," ",0,"int(F^(c*(b*x+a))/(f+I*f*sinh(e*x+d)),x)","F"
896,0,0,153,0.594000," ","int(F^(c*(b*x+a))/(f+I*f*sinh(e*x+d))^2,x)","\int \frac{F^{c \left(b x +a \right)}}{\left(f +i f \sinh \left(e x +d \right)\right)^{2}}\, dx"," ",0,"int(F^(c*(b*x+a))/(f+I*f*sinh(e*x+d))^2,x)","F"
897,1,426,251,0.597000," ","int(F^(c*(b*x+a))*(f+f*cosh(e*x+d))^2,x)","\frac{f^{2} \left(\ln \left(F \right)^{4} b^{4} c^{4} {\mathrm e}^{4 e x +4 d}+4 \ln \left(F \right)^{4} b^{4} c^{4} {\mathrm e}^{3 e x +3 d}+6 \ln \left(F \right)^{4} b^{4} c^{4} {\mathrm e}^{2 e x +2 d}-2 \ln \left(F \right)^{3} b^{3} c^{3} e \,{\mathrm e}^{4 e x +4 d}+4 \ln \left(F \right)^{4} b^{4} c^{4} {\mathrm e}^{e x +d}-4 \ln \left(F \right)^{3} b^{3} c^{3} e \,{\mathrm e}^{3 e x +3 d}+b^{4} c^{4} \ln \left(F \right)^{4}-\ln \left(F \right)^{2} b^{2} c^{2} e^{2} {\mathrm e}^{4 e x +4 d}+4 \ln \left(F \right)^{3} b^{3} c^{3} e \,{\mathrm e}^{e x +d}-16 \ln \left(F \right)^{2} b^{2} c^{2} e^{2} {\mathrm e}^{3 e x +3 d}+2 \ln \left(F \right)^{3} b^{3} c^{3} e -30 \ln \left(F \right)^{2} b^{2} c^{2} e^{2} {\mathrm e}^{2 e x +2 d}+2 \ln \left(F \right) b c \,e^{3} {\mathrm e}^{4 e x +4 d}-16 \ln \left(F \right)^{2} b^{2} c^{2} e^{2} {\mathrm e}^{e x +d}+16 \ln \left(F \right) b c \,e^{3} {\mathrm e}^{3 e x +3 d}-b^{2} c^{2} e^{2} \ln \left(F \right)^{2}-16 \ln \left(F \right) b c \,e^{3} {\mathrm e}^{e x +d}-2 \ln \left(F \right) b c \,e^{3}+24 e^{4} {\mathrm e}^{2 e x +2 d}\right) {\mathrm e}^{-2 e x -2 d} F^{c \left(b x +a \right)}}{4 b c \ln \left(F \right) \left(b c \ln \left(F \right)-e \right) \left(b c \ln \left(F \right)-2 e \right) \left(e +b c \ln \left(F \right)\right) \left(b c \ln \left(F \right)+2 e \right)}"," ",0,"1/4*f^2*(ln(F)^4*b^4*c^4*exp(4*e*x+4*d)+4*ln(F)^4*b^4*c^4*exp(3*e*x+3*d)+6*ln(F)^4*b^4*c^4*exp(2*e*x+2*d)-2*ln(F)^3*b^3*c^3*e*exp(4*e*x+4*d)+4*ln(F)^4*b^4*c^4*exp(e*x+d)-4*ln(F)^3*b^3*c^3*e*exp(3*e*x+3*d)+b^4*c^4*ln(F)^4-ln(F)^2*b^2*c^2*e^2*exp(4*e*x+4*d)+4*ln(F)^3*b^3*c^3*e*exp(e*x+d)-16*ln(F)^2*b^2*c^2*e^2*exp(3*e*x+3*d)+2*ln(F)^3*b^3*c^3*e-30*ln(F)^2*b^2*c^2*e^2*exp(2*e*x+2*d)+2*ln(F)*b*c*e^3*exp(4*e*x+4*d)-16*ln(F)^2*b^2*c^2*e^2*exp(e*x+d)+16*ln(F)*b*c*e^3*exp(3*e*x+3*d)-b^2*c^2*e^2*ln(F)^2-16*ln(F)*b*c*e^3*exp(e*x+d)-2*ln(F)*b*c*e^3+24*e^4*exp(2*e*x+2*d))/b/c/ln(F)/(b*c*ln(F)-e)*exp(-2*e*x-2*d)/(b*c*ln(F)-2*e)/(e+b*c*ln(F))/(b*c*ln(F)+2*e)*F^(c*(b*x+a))","A"
898,1,135,101,0.225000," ","int(F^(c*(b*x+a))*(f+f*cosh(e*x+d)),x)","\frac{f \left(\ln \left(F \right)^{2} b^{2} c^{2} {\mathrm e}^{2 e x +2 d}+2 \ln \left(F \right)^{2} b^{2} c^{2} {\mathrm e}^{e x +d}+b^{2} c^{2} \ln \left(F \right)^{2}-\ln \left(F \right) b c e \,{\mathrm e}^{2 e x +2 d}+\ln \left(F \right) b c e -2 e^{2} {\mathrm e}^{e x +d}\right) {\mathrm e}^{-e x -d} F^{c \left(b x +a \right)}}{2 b c \ln \left(F \right) \left(b c \ln \left(F \right)-e \right) \left(e +b c \ln \left(F \right)\right)}"," ",0,"1/2*f*(ln(F)^2*b^2*c^2*exp(2*e*x+2*d)+2*ln(F)^2*b^2*c^2*exp(e*x+d)+b^2*c^2*ln(F)^2-ln(F)*b*c*e*exp(2*e*x+2*d)+ln(F)*b*c*e-2*e^2*exp(e*x+d))/b/c/ln(F)/(b*c*ln(F)-e)*exp(-e*x-d)/(e+b*c*ln(F))*F^(c*(b*x+a))","A"
899,0,0,61,0.191000," ","int(F^(c*(b*x+a))/(f+f*cosh(e*x+d)),x)","\int \frac{F^{c \left(b x +a \right)}}{f +f \cosh \left(e x +d \right)}\, dx"," ",0,"int(F^(c*(b*x+a))/(f+f*cosh(e*x+d)),x)","F"
900,0,0,133,0.392000," ","int(F^(c*(b*x+a))/(f+f*cosh(e*x+d))^2,x)","\int \frac{F^{c \left(b x +a \right)}}{\left(f +f \cosh \left(e x +d \right)\right)^{2}}\, dx"," ",0,"int(F^(c*(b*x+a))/(f+f*cosh(e*x+d))^2,x)","F"
901,1,44,57,0.156000," ","int(exp(b*x+a)*cosh(b*x+a)*sinh(b*x+a)^3,x)","\frac{\frac{\left(\sinh^{5}\left(b x +a \right)\right)}{5}+\frac{\left(\cosh^{3}\left(b x +a \right)\right) \left(\sinh^{2}\left(b x +a \right)\right)}{5}-\frac{2 \left(\cosh^{3}\left(b x +a \right)\right)}{15}}{b}"," ",0,"1/b*(1/5*sinh(b*x+a)^5+1/5*cosh(b*x+a)^3*sinh(b*x+a)^2-2/15*cosh(b*x+a)^3)","A"
902,1,53,46,0.129000," ","int(exp(b*x+a)*cosh(b*x+a)*sinh(b*x+a)^2,x)","\frac{\frac{\left(\sinh^{4}\left(b x +a \right)\right)}{4}+\frac{\left(\cosh^{3}\left(b x +a \right)\right) \sinh \left(b x +a \right)}{4}-\frac{\cosh \left(b x +a \right) \sinh \left(b x +a \right)}{8}-\frac{b x}{8}-\frac{a}{8}}{b}"," ",0,"1/b*(1/4*sinh(b*x+a)^4+1/4*cosh(b*x+a)^3*sinh(b*x+a)-1/8*cosh(b*x+a)*sinh(b*x+a)-1/8*b*x-1/8*a)","A"
903,1,26,29,0.033000," ","int(exp(b*x+a)*cosh(b*x+a)*sinh(b*x+a),x)","\frac{\frac{\left(\sinh^{3}\left(b x +a \right)\right)}{3}+\frac{\left(\cosh^{3}\left(b x +a \right)\right)}{3}}{b}"," ",0,"1/b*(1/3*sinh(b*x+a)^3+1/3*cosh(b*x+a)^3)","A"
904,1,27,23,0.163000," ","int(exp(b*x+a)*cosh(b*x+a)*csch(b*x+a),x)","\frac{\sinh \left(b x +a \right)+\cosh \left(b x +a \right)-2 \arctanh \left({\mathrm e}^{b x +a}\right)}{b}"," ",0,"1/b*(sinh(b*x+a)+cosh(b*x+a)-2*arctanh(exp(b*x+a)))","A"
905,1,30,39,0.161000," ","int(exp(b*x+a)*cosh(b*x+a)*csch(b*x+a)^2,x)","x -\frac{\coth \left(b x +a \right)}{b}+\frac{\ln \left(\sinh \left(b x +a \right)\right)}{b}+\frac{a}{b}"," ",0,"x-coth(b*x+a)/b+ln(sinh(b*x+a))/b+a/b","A"
906,1,55,65,0.418000," ","int(exp(b*x+a)*cosh(b*x+a)*csch(b*x+a)^3,x)","\frac{-\frac{1}{\sinh \left(b x +a \right)}-\frac{\cosh \left(b x +a \right)}{\sinh \left(b x +a \right)^{2}}+\frac{\mathrm{csch}\left(b x +a \right) \coth \left(b x +a \right)}{2}-\arctanh \left({\mathrm e}^{b x +a}\right)}{b}"," ",0,"1/b*(-1/sinh(b*x+a)-cosh(b*x+a)/sinh(b*x+a)^2+1/2*csch(b*x+a)*coth(b*x+a)-arctanh(exp(b*x+a)))","A"
907,1,89,74,0.175000," ","int(exp(b*x+a)*cosh(b*x+a)^2*sinh(b*x+a)^3,x)","\frac{\frac{\left(\cosh^{3}\left(b x +a \right)\right) \left(\sinh^{3}\left(b x +a \right)\right)}{6}-\frac{\left(\cosh^{3}\left(b x +a \right)\right) \sinh \left(b x +a \right)}{8}+\frac{\cosh \left(b x +a \right) \sinh \left(b x +a \right)}{16}+\frac{b x}{16}+\frac{a}{16}+\frac{\left(\cosh^{4}\left(b x +a \right)\right) \left(\sinh^{2}\left(b x +a \right)\right)}{6}-\frac{\left(\cosh^{4}\left(b x +a \right)\right)}{12}}{b}"," ",0,"1/b*(1/6*cosh(b*x+a)^3*sinh(b*x+a)^3-1/8*cosh(b*x+a)^3*sinh(b*x+a)+1/16*cosh(b*x+a)*sinh(b*x+a)+1/16*b*x+1/16*a+1/6*cosh(b*x+a)^4*sinh(b*x+a)^2-1/12*cosh(b*x+a)^4)","A"
908,1,70,40,0.365000," ","int(exp(b*x+a)*cosh(b*x+a)^2*sinh(b*x+a)^2,x)","\frac{\frac{\left(\cosh^{3}\left(b x +a \right)\right) \left(\sinh^{2}\left(b x +a \right)\right)}{5}-\frac{2 \left(\cosh^{3}\left(b x +a \right)\right)}{15}+\frac{\sinh \left(b x +a \right) \left(\cosh^{4}\left(b x +a \right)\right)}{5}-\frac{\left(\frac{2}{3}+\frac{\left(\cosh^{2}\left(b x +a \right)\right)}{3}\right) \sinh \left(b x +a \right)}{5}}{b}"," ",0,"1/b*(1/5*cosh(b*x+a)^3*sinh(b*x+a)^2-2/15*cosh(b*x+a)^3+1/5*sinh(b*x+a)*cosh(b*x+a)^4-1/5*(2/3+1/3*cosh(b*x+a)^2)*sinh(b*x+a))","A"
909,1,53,46,0.101000," ","int(exp(b*x+a)*cosh(b*x+a)^2*sinh(b*x+a),x)","\frac{\frac{\left(\cosh^{3}\left(b x +a \right)\right) \sinh \left(b x +a \right)}{4}-\frac{\cosh \left(b x +a \right) \sinh \left(b x +a \right)}{8}-\frac{b x}{8}-\frac{a}{8}+\frac{\left(\cosh^{4}\left(b x +a \right)\right)}{4}}{b}"," ",0,"1/b*(1/4*cosh(b*x+a)^3*sinh(b*x+a)-1/8*cosh(b*x+a)*sinh(b*x+a)-1/8*b*x-1/8*a+1/4*cosh(b*x+a)^4)","A"
910,1,52,36,0.199000," ","int(exp(b*x+a)*cosh(b*x+a)^2*csch(b*x+a),x)","\frac{\cosh \left(b x +a \right) \sinh \left(b x +a \right)}{2 b}+\frac{x}{2}+\frac{a}{2 b}+\frac{\cosh^{2}\left(b x +a \right)}{2 b}+\frac{\ln \left(\sinh \left(b x +a \right)\right)}{b}"," ",0,"1/2*cosh(b*x+a)*sinh(b*x+a)/b+1/2*x+1/2*a/b+1/2*cosh(b*x+a)^2/b+ln(sinh(b*x+a))/b","A"
911,1,48,49,0.140000," ","int(exp(b*x+a)*cosh(b*x+a)^2*csch(b*x+a)^2,x)","\frac{\cosh \left(b x +a \right)-2 \arctanh \left({\mathrm e}^{b x +a}\right)+\frac{\cosh^{2}\left(b x +a \right)}{\sinh \left(b x +a \right)}-\frac{2}{\sinh \left(b x +a \right)}}{b}"," ",0,"1/b*(cosh(b*x+a)-2*arctanh(exp(b*x+a))+cosh(b*x+a)^2/sinh(b*x+a)-2/sinh(b*x+a))","A"
912,1,43,59,0.171000," ","int(exp(b*x+a)*cosh(b*x+a)^2*csch(b*x+a)^3,x)","x +\frac{a}{b}-\frac{\coth \left(b x +a \right)}{b}+\frac{\ln \left(\sinh \left(b x +a \right)\right)}{b}-\frac{\coth^{2}\left(b x +a \right)}{2 b}"," ",0,"x+a/b-coth(b*x+a)/b+ln(sinh(b*x+a))/b-1/2*coth(b*x+a)^2/b","A"
913,1,88,57,0.366000," ","int(exp(b*x+a)*cosh(b*x+a)^3*sinh(b*x+a)^3,x)","\frac{\frac{\left(\cosh^{4}\left(b x +a \right)\right) \left(\sinh^{3}\left(b x +a \right)\right)}{7}-\frac{3 \sinh \left(b x +a \right) \left(\cosh^{4}\left(b x +a \right)\right)}{35}+\frac{3 \left(\frac{2}{3}+\frac{\left(\cosh^{2}\left(b x +a \right)\right)}{3}\right) \sinh \left(b x +a \right)}{35}+\frac{\left(\sinh^{2}\left(b x +a \right)\right) \left(\cosh^{5}\left(b x +a \right)\right)}{7}-\frac{2 \left(\cosh^{5}\left(b x +a \right)\right)}{35}}{b}"," ",0,"1/b*(1/7*cosh(b*x+a)^4*sinh(b*x+a)^3-3/35*sinh(b*x+a)*cosh(b*x+a)^4+3/35*(2/3+1/3*cosh(b*x+a)^2)*sinh(b*x+a)+1/7*sinh(b*x+a)^2*cosh(b*x+a)^5-2/35*cosh(b*x+a)^5)","A"
914,1,84,74,0.381000," ","int(exp(b*x+a)*cosh(b*x+a)^3*sinh(b*x+a)^2,x)","\frac{\frac{\left(\cosh^{4}\left(b x +a \right)\right) \left(\sinh^{2}\left(b x +a \right)\right)}{6}-\frac{\left(\cosh^{4}\left(b x +a \right)\right)}{12}+\frac{\sinh \left(b x +a \right) \left(\cosh^{5}\left(b x +a \right)\right)}{6}-\frac{\left(\frac{\left(\cosh^{3}\left(b x +a \right)\right)}{4}+\frac{3 \cosh \left(b x +a \right)}{8}\right) \sinh \left(b x +a \right)}{6}-\frac{b x}{16}-\frac{a}{16}}{b}"," ",0,"1/b*(1/6*cosh(b*x+a)^4*sinh(b*x+a)^2-1/12*cosh(b*x+a)^4+1/6*sinh(b*x+a)*cosh(b*x+a)^5-1/6*(1/4*cosh(b*x+a)^3+3/8*cosh(b*x+a))*sinh(b*x+a)-1/16*b*x-1/16*a)","A"
915,1,52,57,0.372000," ","int(exp(b*x+a)*cosh(b*x+a)^3*sinh(b*x+a),x)","\frac{\frac{\sinh \left(b x +a \right) \left(\cosh^{4}\left(b x +a \right)\right)}{5}-\frac{\left(\frac{2}{3}+\frac{\left(\cosh^{2}\left(b x +a \right)\right)}{3}\right) \sinh \left(b x +a \right)}{5}+\frac{\left(\cosh^{5}\left(b x +a \right)\right)}{5}}{b}"," ",0,"1/b*(1/5*sinh(b*x+a)*cosh(b*x+a)^4-1/5*(2/3+1/3*cosh(b*x+a)^2)*sinh(b*x+a)+1/5*cosh(b*x+a)^5)","A"
916,1,50,51,0.368000," ","int(exp(b*x+a)*cosh(b*x+a)^3*csch(b*x+a),x)","\frac{\left(\frac{2}{3}+\frac{\left(\cosh^{2}\left(b x +a \right)\right)}{3}\right) \sinh \left(b x +a \right)+\frac{\left(\cosh^{3}\left(b x +a \right)\right)}{3}+\cosh \left(b x +a \right)-2 \arctanh \left({\mathrm e}^{b x +a}\right)}{b}"," ",0,"1/b*((2/3+1/3*cosh(b*x+a)^2)*sinh(b*x+a)+1/3*cosh(b*x+a)^3+cosh(b*x+a)-2*arctanh(exp(b*x+a)))","A"
917,1,67,56,0.188000," ","int(exp(b*x+a)*cosh(b*x+a)^3*csch(b*x+a)^2,x)","\frac{\cosh^{2}\left(b x +a \right)}{2 b}+\frac{\ln \left(\sinh \left(b x +a \right)\right)}{b}+\frac{\cosh^{3}\left(b x +a \right)}{2 b \sinh \left(b x +a \right)}+\frac{3 x}{2}+\frac{3 a}{2 b}-\frac{3 \coth \left(b x +a \right)}{2 b}"," ",0,"1/2*cosh(b*x+a)^2/b+ln(sinh(b*x+a))/b+1/2/b*cosh(b*x+a)^3/sinh(b*x+a)+3/2*x+3/2*a/b-3/2*coth(b*x+a)/b","A"
918,1,89,75,0.378000," ","int(exp(b*x+a)*cosh(b*x+a)^3*csch(b*x+a)^3,x)","\frac{\frac{\cosh^{2}\left(b x +a \right)}{\sinh \left(b x +a \right)}-\frac{2}{\sinh \left(b x +a \right)}+\frac{\cosh^{3}\left(b x +a \right)}{\sinh \left(b x +a \right)^{2}}-\frac{3 \cosh \left(b x +a \right)}{\sinh \left(b x +a \right)^{2}}+\frac{3 \,\mathrm{csch}\left(b x +a \right) \coth \left(b x +a \right)}{2}-3 \arctanh \left({\mathrm e}^{b x +a}\right)}{b}"," ",0,"1/b*(cosh(b*x+a)^2/sinh(b*x+a)-2/sinh(b*x+a)+cosh(b*x+a)^3/sinh(b*x+a)^2-3*cosh(b*x+a)/sinh(b*x+a)^2+3/2*csch(b*x+a)*coth(b*x+a)-3*arctanh(exp(b*x+a)))","A"
919,1,89,46,0.328000," ","int(exp(2*b*x+2*a)*cosh(b*x+a)*sinh(b*x+a)^3,x)","\frac{x}{8}-\frac{\sinh \left(2 b x +2 a \right)}{32 b}-\frac{\sinh \left(4 b x +4 a \right)}{32 b}+\frac{\sinh \left(6 b x +6 a \right)}{96 b}+\frac{\cosh \left(2 b x +2 a \right)}{32 b}-\frac{\cosh \left(4 b x +4 a \right)}{32 b}+\frac{\cosh \left(6 b x +6 a \right)}{96 b}"," ",0,"1/8*x-1/32*sinh(2*b*x+2*a)/b-1/32/b*sinh(4*b*x+4*a)+1/96/b*sinh(6*b*x+6*a)+1/32*cosh(2*b*x+2*a)/b-1/32*cosh(4*b*x+4*a)/b+1/96*cosh(6*b*x+6*a)/b","A"
920,1,69,54,0.224000," ","int(exp(2*b*x+2*a)*cosh(b*x+a)*sinh(b*x+a)^2,x)","-\frac{\sinh \left(3 b x +3 a \right)}{24 b}+\frac{\sinh \left(5 b x +5 a \right)}{40 b}-\frac{\cosh \left(b x +a \right)}{4 b}-\frac{\cosh \left(3 b x +3 a \right)}{24 b}+\frac{\cosh \left(5 b x +5 a \right)}{40 b}"," ",0,"-1/24/b*sinh(3*b*x+3*a)+1/40/b*sinh(5*b*x+5*a)-1/4*cosh(b*x+a)/b-1/24*cosh(3*b*x+3*a)/b+1/40*cosh(5*b*x+5*a)/b","A"
921,1,33,18,0.096000," ","int(exp(2*b*x+2*a)*cosh(b*x+a)*sinh(b*x+a),x)","-\frac{x}{4}+\frac{\sinh \left(4 b x +4 a \right)}{16 b}+\frac{\cosh \left(4 b x +4 a \right)}{16 b}"," ",0,"-1/4*x+1/16/b*sinh(4*b*x+4*a)+1/16*cosh(4*b*x+4*a)/b","A"
922,1,38,33,0.256000," ","int(exp(2*b*x+2*a)*cosh(b*x+a)*csch(b*x+a),x)","\frac{{\mathrm e}^{2 b x +2 a}}{2 b}-\frac{2 a}{b}+\frac{\ln \left({\mathrm e}^{2 b x +2 a}-1\right)}{b}"," ",0,"1/2*exp(2*b*x+2*a)/b-2*a/b+1/b*ln(exp(2*b*x+2*a)-1)","A"
923,1,65,50,0.224000," ","int(exp(2*b*x+2*a)*cosh(b*x+a)*csch(b*x+a)^2,x)","\frac{2 \,{\mathrm e}^{b x +a}}{b}-\frac{2 \,{\mathrm e}^{b x +a}}{b \left({\mathrm e}^{2 b x +2 a}-1\right)}+\frac{2 \ln \left({\mathrm e}^{b x +a}-1\right)}{b}-\frac{2 \ln \left(1+{\mathrm e}^{b x +a}\right)}{b}"," ",0,"2*exp(b*x+a)/b-2/b*exp(b*x+a)/(exp(2*b*x+2*a)-1)+2/b*ln(exp(b*x+a)-1)-2/b*ln(1+exp(b*x+a))","A"
924,1,56,60,0.216000," ","int(exp(2*b*x+2*a)*cosh(b*x+a)*csch(b*x+a)^3,x)","-\frac{4 a}{b}-\frac{2 \left(3 \,{\mathrm e}^{2 b x +2 a}-2\right)}{b \left({\mathrm e}^{2 b x +2 a}-1\right)^{2}}+\frac{2 \ln \left({\mathrm e}^{2 b x +2 a}-1\right)}{b}"," ",0,"-4*a/b-2*(3*exp(2*b*x+2*a)-2)/b/(exp(2*b*x+2*a)-1)^2+2/b*ln(exp(2*b*x+2*a)-1)","A"
925,1,108,82,0.453000," ","int(exp(2*b*x+2*a)*cosh(b*x+a)^2*sinh(b*x+a)^3,x)","\frac{3 \sinh \left(b x +a \right)}{32 b}-\frac{\sinh \left(3 b x +3 a \right)}{32 b}-\frac{\sinh \left(5 b x +5 a \right)}{160 b}+\frac{\sinh \left(7 b x +7 a \right)}{224 b}+\frac{\cosh \left(b x +a \right)}{32 b}-\frac{\cosh \left(3 b x +3 a \right)}{96 b}-\frac{\cosh \left(5 b x +5 a \right)}{160 b}+\frac{\cosh \left(7 b x +7 a \right)}{224 b}"," ",0,"3/32*sinh(b*x+a)/b-1/32/b*sinh(3*b*x+3*a)-1/160/b*sinh(5*b*x+5*a)+1/224/b*sinh(7*b*x+7*a)+1/32*cosh(b*x+a)/b-1/96*cosh(3*b*x+3*a)/b-1/160*cosh(5*b*x+5*a)/b+1/224*cosh(7*b*x+7*a)/b","A"
926,1,58,43,0.260000," ","int(exp(2*b*x+2*a)*cosh(b*x+a)^2*sinh(b*x+a)^2,x)","-\frac{\sinh \left(2 b x +2 a \right)}{32 b}+\frac{\sinh \left(6 b x +6 a \right)}{96 b}-\frac{3 \cosh \left(2 b x +2 a \right)}{32 b}+\frac{\cosh \left(6 b x +6 a \right)}{96 b}"," ",0,"-1/32*sinh(2*b*x+2*a)/b+1/96/b*sinh(6*b*x+6*a)-3/32*cosh(2*b*x+2*a)/b+1/96*cosh(6*b*x+6*a)/b","A"
927,1,69,54,0.165000," ","int(exp(2*b*x+2*a)*cosh(b*x+a)^2*sinh(b*x+a),x)","-\frac{\sinh \left(b x +a \right)}{4 b}+\frac{\sinh \left(3 b x +3 a \right)}{24 b}+\frac{\sinh \left(5 b x +5 a \right)}{40 b}+\frac{\cosh \left(3 b x +3 a \right)}{24 b}+\frac{\cosh \left(5 b x +5 a \right)}{40 b}"," ",0,"-1/4*sinh(b*x+a)/b+1/24/b*sinh(3*b*x+3*a)+1/40/b*sinh(5*b*x+5*a)+1/24*cosh(3*b*x+3*a)/b+1/40*cosh(5*b*x+5*a)/b","A"
928,1,54,38,0.656000," ","int(exp(2*b*x+2*a)*cosh(b*x+a)^2*csch(b*x+a),x)","\frac{{\mathrm e}^{3 b x +3 a}}{6 b}+\frac{3 \,{\mathrm e}^{b x +a}}{2 b}+\frac{\ln \left({\mathrm e}^{b x +a}-1\right)}{b}-\frac{\ln \left(1+{\mathrm e}^{b x +a}\right)}{b}"," ",0,"1/6*exp(3*b*x+3*a)/b+3/2*exp(b*x+a)/b+1/b*ln(exp(b*x+a)-1)-1/b*ln(1+exp(b*x+a))","A"
929,1,57,54,0.596000," ","int(exp(2*b*x+2*a)*cosh(b*x+a)^2*csch(b*x+a)^2,x)","\frac{{\mathrm e}^{2 b x +2 a}}{2 b}-\frac{4 a}{b}-\frac{2}{b \left({\mathrm e}^{2 b x +2 a}-1\right)}+\frac{2 \ln \left({\mathrm e}^{2 b x +2 a}-1\right)}{b}"," ",0,"1/2*exp(2*b*x+2*a)/b-4*a/b-2/b/(exp(2*b*x+2*a)-1)+2/b*ln(exp(2*b*x+2*a)-1)","A"
930,1,78,79,0.639000," ","int(exp(2*b*x+2*a)*cosh(b*x+a)^2*csch(b*x+a)^3,x)","\frac{2 \,{\mathrm e}^{b x +a}}{b}-\frac{{\mathrm e}^{b x +a} \left(5 \,{\mathrm e}^{2 b x +2 a}-3\right)}{b \left({\mathrm e}^{2 b x +2 a}-1\right)^{2}}-\frac{5 \ln \left(1+{\mathrm e}^{b x +a}\right)}{2 b}+\frac{5 \ln \left({\mathrm e}^{b x +a}-1\right)}{2 b}"," ",0,"2*exp(b*x+a)/b-exp(b*x+a)*(5*exp(2*b*x+2*a)-3)/b/(exp(2*b*x+2*a)-1)^2-5/2/b*ln(1+exp(b*x+a))+5/2/b*ln(exp(b*x+a)-1)","A"
931,1,61,46,0.199000," ","int(exp(2*b*x+2*a)*cosh(b*x+a)^3*sinh(b*x+a)^3,x)","\frac{3 x}{64}-\frac{\sinh \left(4 b x +4 a \right)}{64 b}+\frac{\sinh \left(8 b x +8 a \right)}{512 b}-\frac{\cosh \left(4 b x +4 a \right)}{128 b}+\frac{\cosh \left(8 b x +8 a \right)}{512 b}"," ",0,"3/64*x-1/64/b*sinh(4*b*x+4*a)+1/512/b*sinh(8*b*x+8*a)-1/128*cosh(4*b*x+4*a)/b+1/512*cosh(8*b*x+8*a)/b","A"
932,1,108,82,0.230000," ","int(exp(2*b*x+2*a)*cosh(b*x+a)^3*sinh(b*x+a)^2,x)","-\frac{\sinh \left(b x +a \right)}{32 b}-\frac{\sinh \left(3 b x +3 a \right)}{96 b}+\frac{\sinh \left(5 b x +5 a \right)}{160 b}+\frac{\sinh \left(7 b x +7 a \right)}{224 b}-\frac{3 \cosh \left(b x +a \right)}{32 b}-\frac{\cosh \left(3 b x +3 a \right)}{32 b}+\frac{\cosh \left(5 b x +5 a \right)}{160 b}+\frac{\cosh \left(7 b x +7 a \right)}{224 b}"," ",0,"-1/32*sinh(b*x+a)/b-1/96/b*sinh(3*b*x+3*a)+1/160/b*sinh(5*b*x+5*a)+1/224/b*sinh(7*b*x+7*a)-3/32*cosh(b*x+a)/b-1/32*cosh(3*b*x+3*a)/b+1/160*cosh(5*b*x+5*a)/b+1/224*cosh(7*b*x+7*a)/b","A"
933,1,89,46,0.257000," ","int(exp(2*b*x+2*a)*cosh(b*x+a)^3*sinh(b*x+a),x)","-\frac{x}{8}-\frac{\sinh \left(2 b x +2 a \right)}{32 b}+\frac{\sinh \left(4 b x +4 a \right)}{32 b}+\frac{\sinh \left(6 b x +6 a \right)}{96 b}+\frac{\cosh \left(2 b x +2 a \right)}{32 b}+\frac{\cosh \left(4 b x +4 a \right)}{32 b}+\frac{\cosh \left(6 b x +6 a \right)}{96 b}"," ",0,"-1/8*x-1/32*sinh(2*b*x+2*a)/b+1/32/b*sinh(4*b*x+4*a)+1/96/b*sinh(6*b*x+6*a)+1/32*cosh(2*b*x+2*a)/b+1/32*cosh(4*b*x+4*a)/b+1/96*cosh(6*b*x+6*a)/b","A"
934,1,55,50,0.661000," ","int(exp(2*b*x+2*a)*cosh(b*x+a)^3*csch(b*x+a),x)","-\frac{x}{4}+\frac{{\mathrm e}^{4 b x +4 a}}{16 b}+\frac{{\mathrm e}^{2 b x +2 a}}{2 b}-\frac{2 a}{b}+\frac{\ln \left({\mathrm e}^{2 b x +2 a}-1\right)}{b}"," ",0,"-1/4*x+1/16*exp(4*b*x+4*a)/b+1/2*exp(2*b*x+2*a)/b-2*a/b+1/b*ln(exp(2*b*x+2*a)-1)","A"
935,1,79,64,0.643000," ","int(exp(2*b*x+2*a)*cosh(b*x+a)^3*csch(b*x+a)^2,x)","\frac{{\mathrm e}^{3 b x +3 a}}{6 b}+\frac{5 \,{\mathrm e}^{b x +a}}{2 b}-\frac{2 \,{\mathrm e}^{b x +a}}{b \left({\mathrm e}^{2 b x +2 a}-1\right)}-\frac{2 \ln \left(1+{\mathrm e}^{b x +a}\right)}{b}+\frac{2 \ln \left({\mathrm e}^{b x +a}-1\right)}{b}"," ",0,"1/6*exp(3*b*x+3*a)/b+5/2*exp(b*x+a)/b-2/b*exp(b*x+a)/(exp(2*b*x+2*a)-1)-2/b*ln(1+exp(b*x+a))+2/b*ln(exp(b*x+a)-1)","A"
936,1,70,74,0.688000," ","int(exp(2*b*x+2*a)*cosh(b*x+a)^3*csch(b*x+a)^3,x)","\frac{{\mathrm e}^{2 b x +2 a}}{2 b}-\frac{6 a}{b}-\frac{2 \left(3 \,{\mathrm e}^{2 b x +2 a}-2\right)}{b \left({\mathrm e}^{2 b x +2 a}-1\right)^{2}}+\frac{3 \ln \left({\mathrm e}^{2 b x +2 a}-1\right)}{b}"," ",0,"1/2*exp(2*b*x+2*a)/b-6*a/b-2*(3*exp(2*b*x+2*a)-2)/b/(exp(2*b*x+2*a)-1)^2+3/b*ln(exp(2*b*x+2*a)-1)","A"
937,1,40,80,0.293000," ","int(exp(x)*sech(2*x)*tanh(2*x),x)","-\frac{{\mathrm e}^{3 x}}{1+{\mathrm e}^{4 x}}+2 \left(\munderset{\textit{\_R} =\RootOf \left(4096 \textit{\_Z}^{4}+1\right)}{\sum}\textit{\_R} \ln \left(512 \textit{\_R}^{3}+{\mathrm e}^{x}\right)\right)"," ",0,"-exp(3*x)/(1+exp(4*x))+2*sum(_R*ln(512*_R^3+exp(x)),_R=RootOf(4096*_Z^4+1))","C"
938,1,44,92,0.348000," ","int(exp(x)*sech(2*x)^2*tanh(2*x),x)","-\frac{{\mathrm e}^{x} \left(5 \,{\mathrm e}^{4 x}+1\right)}{4 \left(1+{\mathrm e}^{4 x}\right)^{2}}+4 \left(\munderset{\textit{\_R} =\RootOf \left(16777216 \textit{\_Z}^{4}+1\right)}{\sum}\textit{\_R} \ln \left({\mathrm e}^{x}+64 \textit{\_R} \right)\right)"," ",0,"-1/4*exp(x)*(5*exp(4*x)+1)/(1+exp(4*x))^2+4*sum(_R*ln(exp(x)+64*_R),_R=RootOf(16777216*_Z^4+1))","C"
939,1,48,93,0.352000," ","int(exp(x)*sech(2*x)*tanh(2*x)^2,x)","-\frac{{\mathrm e}^{3 x} \left(3 \,{\mathrm e}^{4 x}-1\right)}{4 \left(1+{\mathrm e}^{4 x}\right)^{2}}+2 \left(\munderset{\textit{\_R} =\RootOf \left(1048576 \textit{\_Z}^{4}+625\right)}{\sum}\textit{\_R} \ln \left({\mathrm e}^{x}+\frac{32768 \textit{\_R}^{3}}{125}\right)\right)"," ",0,"-1/4*exp(3*x)*(3*exp(4*x)-1)/(1+exp(4*x))^2+2*sum(_R*ln(exp(x)+32768/125*_R^3),_R=RootOf(1048576*_Z^4+625))","C"
940,1,50,106,0.368000," ","int(exp(x)*sech(2*x)^2*tanh(2*x)^2,x)","-\frac{{\mathrm e}^{x} \left(29 \,{\mathrm e}^{8 x}+6 \,{\mathrm e}^{4 x}+9\right)}{24 \left(1+{\mathrm e}^{4 x}\right)^{3}}+4 \left(\munderset{\textit{\_R} =\RootOf \left(268435456 \textit{\_Z}^{4}+81\right)}{\sum}\textit{\_R} \ln \left({\mathrm e}^{x}+\frac{128 \textit{\_R}}{3}\right)\right)"," ",0,"-1/24*exp(x)*(29*exp(8*x)+6*exp(4*x)+9)/(1+exp(4*x))^3+4*sum(_R*ln(exp(x)+128/3*_R),_R=RootOf(268435456*_Z^4+81))","C"
941,1,48,26,0.329000," ","int(exp(x)*coth(2*x)*csch(2*x),x)","-\frac{{\mathrm e}^{3 x}}{{\mathrm e}^{4 x}-1}-\frac{\ln \left({\mathrm e}^{x}+1\right)}{4}+\frac{\ln \left({\mathrm e}^{x}-1\right)}{4}+\frac{i \ln \left({\mathrm e}^{x}+i\right)}{4}-\frac{i \ln \left({\mathrm e}^{x}-i\right)}{4}"," ",0,"-exp(3*x)/(exp(4*x)-1)-1/4*ln(exp(x)+1)+1/4*ln(exp(x)-1)+1/4*I*ln(exp(x)+I)-1/4*I*ln(exp(x)-I)","C"
942,1,54,41,0.378000," ","int(exp(x)*coth(2*x)*csch(2*x)^2,x)","-\frac{{\mathrm e}^{x} \left(5 \,{\mathrm e}^{4 x}-1\right)}{4 \left({\mathrm e}^{4 x}-1\right)^{2}}+\frac{i \ln \left({\mathrm e}^{x}-i\right)}{16}-\frac{i \ln \left({\mathrm e}^{x}+i\right)}{16}-\frac{\ln \left({\mathrm e}^{x}+1\right)}{16}+\frac{\ln \left({\mathrm e}^{x}-1\right)}{16}"," ",0,"-1/4*exp(x)*(5*exp(4*x)-1)/(exp(4*x)-1)^2+1/16*I*ln(exp(x)-I)-1/16*I*ln(exp(x)+I)-1/16*ln(exp(x)+1)+1/16*ln(exp(x)-1)","C"
943,1,56,43,0.447000," ","int(exp(x)*coth(2*x)^2*csch(2*x),x)","-\frac{{\mathrm e}^{3 x} \left(3 \,{\mathrm e}^{4 x}+1\right)}{4 \left({\mathrm e}^{4 x}-1\right)^{2}}+\frac{5 \ln \left({\mathrm e}^{x}-1\right)}{16}-\frac{5 \ln \left({\mathrm e}^{x}+1\right)}{16}+\frac{5 i \ln \left({\mathrm e}^{x}+i\right)}{16}-\frac{5 i \ln \left({\mathrm e}^{x}-i\right)}{16}"," ",0,"-1/4*exp(3*x)*(3*exp(4*x)+1)/(exp(4*x)-1)^2+5/16*ln(exp(x)-1)-5/16*ln(exp(x)+1)+5/16*I*ln(exp(x)+I)-5/16*I*ln(exp(x)-I)","C"
944,1,60,57,0.456000," ","int(exp(x)*coth(2*x)^2*csch(2*x)^2,x)","-\frac{{\mathrm e}^{x} \left(29 \,{\mathrm e}^{8 x}-6 \,{\mathrm e}^{4 x}+9\right)}{24 \left({\mathrm e}^{4 x}-1\right)^{3}}+\frac{3 i \ln \left({\mathrm e}^{x}-i\right)}{32}-\frac{3 i \ln \left({\mathrm e}^{x}+i\right)}{32}+\frac{3 \ln \left({\mathrm e}^{x}-1\right)}{32}-\frac{3 \ln \left({\mathrm e}^{x}+1\right)}{32}"," ",0,"-1/24*exp(x)*(29*exp(8*x)-6*exp(4*x)+9)/(exp(4*x)-1)^3+3/32*I*ln(exp(x)-I)-3/32*I*ln(exp(x)+I)+3/32*ln(exp(x)-1)-3/32*ln(exp(x)+1)","C"
945,1,202,125,0.364000," ","int(exp(d*x+c)*cosh(b*x+a)*sinh(b*x+a)^3,x)","\frac{\sinh \left(2 a -c +\left(2 b -d \right) x \right)}{16 b -8 d}-\frac{\sinh \left(2 a +c +\left(2 b +d \right) x \right)}{8 \left(2 b +d \right)}-\frac{\sinh \left(\left(4 b -d \right) x +4 a -c \right)}{16 \left(4 b -d \right)}+\frac{\sinh \left(\left(4 b +d \right) x +4 a +c \right)}{64 b +16 d}-\frac{\cosh \left(2 a -c +\left(2 b -d \right) x \right)}{8 \left(2 b -d \right)}-\frac{\cosh \left(2 a +c +\left(2 b +d \right) x \right)}{8 \left(2 b +d \right)}+\frac{\cosh \left(\left(4 b -d \right) x +4 a -c \right)}{64 b -16 d}+\frac{\cosh \left(\left(4 b +d \right) x +4 a +c \right)}{64 b +16 d}"," ",0,"1/8*sinh(2*a-c+(2*b-d)*x)/(2*b-d)-1/8*sinh(2*a+c+(2*b+d)*x)/(2*b+d)-1/16/(4*b-d)*sinh((4*b-d)*x+4*a-c)+1/16/(4*b+d)*sinh((4*b+d)*x+4*a+c)-1/8*cosh(2*a-c+(2*b-d)*x)/(2*b-d)-1/8*cosh(2*a+c+(2*b+d)*x)/(2*b+d)+1/16*cosh((4*b-d)*x+4*a-c)/(4*b-d)+1/16*cosh((4*b+d)*x+4*a+c)/(4*b+d)","A"
946,1,178,115,0.354000," ","int(exp(d*x+c)*cosh(b*x+a)*sinh(b*x+a)^2,x)","-\frac{\sinh \left(a -c +\left(b -d \right) x \right)}{8 \left(b -d \right)}-\frac{\sinh \left(a +c +\left(b +d \right) x \right)}{8 \left(b +d \right)}+\frac{\sinh \left(3 a -c +\left(3 b -d \right) x \right)}{24 b -8 d}+\frac{\sinh \left(3 a +c +\left(3 b +d \right) x \right)}{24 b +8 d}+\frac{\cosh \left(a -c +\left(b -d \right) x \right)}{8 b -8 d}-\frac{\cosh \left(a +c +\left(b +d \right) x \right)}{8 \left(b +d \right)}-\frac{\cosh \left(3 a -c +\left(3 b -d \right) x \right)}{8 \left(3 b -d \right)}+\frac{\cosh \left(3 a +c +\left(3 b +d \right) x \right)}{24 b +8 d}"," ",0,"-1/8*sinh(a-c+(b-d)*x)/(b-d)-1/8*sinh(a+c+(b+d)*x)/(b+d)+1/8*sinh(3*a-c+(3*b-d)*x)/(3*b-d)+1/8*sinh(3*a+c+(3*b+d)*x)/(3*b+d)+1/8*cosh(a-c+(b-d)*x)/(b-d)-1/8*cosh(a+c+(b+d)*x)/(b+d)-1/8*cosh(3*a-c+(3*b-d)*x)/(3*b-d)+1/8*cosh(3*a+c+(3*b+d)*x)/(3*b+d)","A"
947,1,102,62,0.197000," ","int(exp(d*x+c)*cosh(b*x+a)*sinh(b*x+a),x)","-\frac{\sinh \left(2 a -c +\left(2 b -d \right) x \right)}{4 \left(2 b -d \right)}+\frac{\sinh \left(2 a +c +\left(2 b +d \right) x \right)}{8 b +4 d}+\frac{\cosh \left(2 a -c +\left(2 b -d \right) x \right)}{8 b -4 d}+\frac{\cosh \left(2 a +c +\left(2 b +d \right) x \right)}{8 b +4 d}"," ",0,"-1/4*sinh(2*a-c+(2*b-d)*x)/(2*b-d)+1/4*sinh(2*a+c+(2*b+d)*x)/(2*b+d)+1/4*cosh(2*a-c+(2*b-d)*x)/(2*b-d)+1/4*cosh(2*a+c+(2*b+d)*x)/(2*b+d)","A"
948,1,78,52,0.223000," ","int(exp(d*x+c)*cosh(b*x+a),x)","\frac{\sinh \left(a -c +\left(b -d \right) x \right)}{2 b -2 d}+\frac{\sinh \left(a +c +\left(b +d \right) x \right)}{2 b +2 d}-\frac{\cosh \left(a -c +\left(b -d \right) x \right)}{2 \left(b -d \right)}+\frac{\cosh \left(a +c +\left(b +d \right) x \right)}{2 b +2 d}"," ",0,"1/2*sinh(a-c+(b-d)*x)/(b-d)+1/2*sinh(a+c+(b+d)*x)/(b+d)-1/2*cosh(a-c+(b-d)*x)/(b-d)+1/2*cosh(a+c+(b+d)*x)/(b+d)","A"
949,0,0,49,0.299000," ","int(exp(d*x+c)*cosh(b*x+a)*csch(b*x+a),x)","\int {\mathrm e}^{d x +c} \cosh \left(b x +a \right) \mathrm{csch}\left(b x +a \right)\, dx"," ",0,"int(exp(d*x+c)*cosh(b*x+a)*csch(b*x+a),x)","F"
950,0,0,95,0.293000," ","int(exp(d*x+c)*cosh(b*x+a)*csch(b*x+a)^2,x)","\int {\mathrm e}^{d x +c} \cosh \left(b x +a \right) \mathrm{csch}\left(b x +a \right)^{2}\, dx"," ",0,"int(exp(d*x+c)*cosh(b*x+a)*csch(b*x+a)^2,x)","F"
951,0,0,103,0.356000," ","int(exp(d*x+c)*cosh(b*x+a)*csch(b*x+a)^3,x)","\int {\mathrm e}^{d x +c} \cosh \left(b x +a \right) \mathrm{csch}\left(b x +a \right)^{3}\, dx"," ",0,"int(exp(d*x+c)*cosh(b*x+a)*csch(b*x+a)^3,x)","F"
952,1,278,177,0.523000," ","int(exp(d*x+c)*cosh(b*x+a)^2*sinh(b*x+a)^3,x)","\frac{\sinh \left(a -c +\left(b -d \right) x \right)}{16 b -16 d}-\frac{\sinh \left(a +c +\left(b +d \right) x \right)}{16 \left(b +d \right)}+\frac{\sinh \left(3 a -c +\left(3 b -d \right) x \right)}{96 b -32 d}-\frac{\sinh \left(3 a +c +\left(3 b +d \right) x \right)}{32 \left(3 b +d \right)}-\frac{\sinh \left(\left(5 b -d \right) x +5 a -c \right)}{32 \left(5 b -d \right)}+\frac{\sinh \left(\left(5 b +d \right) x +5 a +c \right)}{160 b +32 d}-\frac{\cosh \left(a -c +\left(b -d \right) x \right)}{16 \left(b -d \right)}-\frac{\cosh \left(a +c +\left(b +d \right) x \right)}{16 \left(b +d \right)}-\frac{\cosh \left(3 a -c +\left(3 b -d \right) x \right)}{32 \left(3 b -d \right)}-\frac{\cosh \left(3 a +c +\left(3 b +d \right) x \right)}{32 \left(3 b +d \right)}+\frac{\cosh \left(\left(5 b -d \right) x +5 a -c \right)}{160 b -32 d}+\frac{\cosh \left(\left(5 b +d \right) x +5 a +c \right)}{160 b +32 d}"," ",0,"1/16*sinh(a-c+(b-d)*x)/(b-d)-1/16*sinh(a+c+(b+d)*x)/(b+d)+1/32*sinh(3*a-c+(3*b-d)*x)/(3*b-d)-1/32*sinh(3*a+c+(3*b+d)*x)/(3*b+d)-1/32/(5*b-d)*sinh((5*b-d)*x+5*a-c)+1/32/(5*b+d)*sinh((5*b+d)*x+5*a+c)-1/16*cosh(a-c+(b-d)*x)/(b-d)-1/16*cosh(a+c+(b+d)*x)/(b+d)-1/32*cosh(3*a-c+(3*b-d)*x)/(3*b-d)-1/32*cosh(3*a+c+(3*b+d)*x)/(3*b+d)+1/32*cosh((5*b-d)*x+5*a-c)/(5*b-d)+1/32*cosh((5*b+d)*x+5*a+c)/(5*b+d)","A"
953,1,124,74,0.290000," ","int(exp(d*x+c)*cosh(b*x+a)^2*sinh(b*x+a)^2,x)","-\frac{\sinh \left(d x +c \right)}{8 d}+\frac{\sinh \left(\left(4 b -d \right) x +4 a -c \right)}{64 b -16 d}+\frac{\sinh \left(\left(4 b +d \right) x +4 a +c \right)}{64 b +16 d}-\frac{\cosh \left(d x +c \right)}{8 d}-\frac{\cosh \left(\left(4 b -d \right) x +4 a -c \right)}{16 \left(4 b -d \right)}+\frac{\cosh \left(\left(4 b +d \right) x +4 a +c \right)}{64 b +16 d}"," ",0,"-1/8*sinh(d*x+c)/d+1/16/(4*b-d)*sinh((4*b-d)*x+4*a-c)+1/16/(4*b+d)*sinh((4*b+d)*x+4*a+c)-1/8*cosh(d*x+c)/d-1/16*cosh((4*b-d)*x+4*a-c)/(4*b-d)+1/16*cosh((4*b+d)*x+4*a+c)/(4*b+d)","A"
954,1,178,115,0.355000," ","int(exp(d*x+c)*cosh(b*x+a)^2*sinh(b*x+a),x)","-\frac{\sinh \left(a -c +\left(b -d \right) x \right)}{8 \left(b -d \right)}+\frac{\sinh \left(a +c +\left(b +d \right) x \right)}{8 b +8 d}-\frac{\sinh \left(3 a -c +\left(3 b -d \right) x \right)}{8 \left(3 b -d \right)}+\frac{\sinh \left(3 a +c +\left(3 b +d \right) x \right)}{24 b +8 d}+\frac{\cosh \left(a -c +\left(b -d \right) x \right)}{8 b -8 d}+\frac{\cosh \left(a +c +\left(b +d \right) x \right)}{8 b +8 d}+\frac{\cosh \left(3 a -c +\left(3 b -d \right) x \right)}{24 b -8 d}+\frac{\cosh \left(3 a +c +\left(3 b +d \right) x \right)}{24 b +8 d}"," ",0,"-1/8*sinh(a-c+(b-d)*x)/(b-d)+1/8*sinh(a+c+(b+d)*x)/(b+d)-1/8*sinh(3*a-c+(3*b-d)*x)/(3*b-d)+1/8*sinh(3*a+c+(3*b+d)*x)/(3*b+d)+1/8*cosh(a-c+(b-d)*x)/(b-d)+1/8*cosh(a+c+(b+d)*x)/(b+d)+1/8*cosh(3*a-c+(3*b-d)*x)/(3*b-d)+1/8*cosh(3*a+c+(3*b+d)*x)/(3*b+d)","A"
955,1,124,92,0.263000," ","int(exp(d*x+c)*cosh(b*x+a)^2,x)","\frac{\sinh \left(d x +c \right)}{2 d}+\frac{\sinh \left(2 a -c +\left(2 b -d \right) x \right)}{8 b -4 d}+\frac{\sinh \left(2 a +c +\left(2 b +d \right) x \right)}{8 b +4 d}+\frac{\cosh \left(d x +c \right)}{2 d}-\frac{\cosh \left(2 a -c +\left(2 b -d \right) x \right)}{4 \left(2 b -d \right)}+\frac{\cosh \left(2 a +c +\left(2 b +d \right) x \right)}{8 b +4 d}"," ",0,"1/2*sinh(d*x+c)/d+1/4*sinh(2*a-c+(2*b-d)*x)/(2*b-d)+1/4*sinh(2*a+c+(2*b+d)*x)/(2*b+d)+1/2*cosh(d*x+c)/d-1/4*cosh(2*a-c+(2*b-d)*x)/(2*b-d)+1/4*cosh(2*a+c+(2*b+d)*x)/(2*b+d)","A"
956,0,0,94,0.648000," ","int(exp(d*x+c)*cosh(b*x+a)^2*csch(b*x+a),x)","\int {\mathrm e}^{d x +c} \left(\cosh^{2}\left(b x +a \right)\right) \mathrm{csch}\left(b x +a \right)\, dx"," ",0,"int(exp(d*x+c)*cosh(b*x+a)^2*csch(b*x+a),x)","F"
957,0,0,87,0.679000," ","int(exp(d*x+c)*cosh(b*x+a)^2*csch(b*x+a)^2,x)","\int {\mathrm e}^{d x +c} \left(\cosh^{2}\left(b x +a \right)\right) \mathrm{csch}\left(b x +a \right)^{2}\, dx"," ",0,"int(exp(d*x+c)*cosh(b*x+a)^2*csch(b*x+a)^2,x)","F"
958,0,0,142,0.746000," ","int(exp(d*x+c)*cosh(b*x+a)^2*csch(b*x+a)^3,x)","\int {\mathrm e}^{d x +c} \left(\cosh^{2}\left(b x +a \right)\right) \mathrm{csch}\left(b x +a \right)^{3}\, dx"," ",0,"int(exp(d*x+c)*cosh(b*x+a)^2*csch(b*x+a)^3,x)","F"
959,1,202,125,0.391000," ","int(exp(d*x+c)*cosh(b*x+a)^3*sinh(b*x+a)^3,x)","\frac{3 \sinh \left(2 a -c +\left(2 b -d \right) x \right)}{64 \left(2 b -d \right)}-\frac{3 \sinh \left(2 a +c +\left(2 b +d \right) x \right)}{64 \left(2 b +d \right)}-\frac{\sinh \left(\left(6 b -d \right) x +6 a -c \right)}{64 \left(6 b -d \right)}+\frac{\sinh \left(\left(6 b +d \right) x +6 a +c \right)}{384 b +64 d}-\frac{3 \cosh \left(2 a -c +\left(2 b -d \right) x \right)}{64 \left(2 b -d \right)}-\frac{3 \cosh \left(2 a +c +\left(2 b +d \right) x \right)}{64 \left(2 b +d \right)}+\frac{\cosh \left(\left(6 b -d \right) x +6 a -c \right)}{384 b -64 d}+\frac{\cosh \left(\left(6 b +d \right) x +6 a +c \right)}{384 b +64 d}"," ",0,"3/64*sinh(2*a-c+(2*b-d)*x)/(2*b-d)-3/64*sinh(2*a+c+(2*b+d)*x)/(2*b+d)-1/64/(6*b-d)*sinh((6*b-d)*x+6*a-c)+1/64/(6*b+d)*sinh((6*b+d)*x+6*a+c)-3/64*cosh(2*a-c+(2*b-d)*x)/(2*b-d)-3/64*cosh(2*a+c+(2*b+d)*x)/(2*b+d)+1/64*cosh((6*b-d)*x+6*a-c)/(6*b-d)+1/64*cosh((6*b+d)*x+6*a+c)/(6*b+d)","A"
960,1,278,177,0.539000," ","int(exp(d*x+c)*cosh(b*x+a)^3*sinh(b*x+a)^2,x)","-\frac{\sinh \left(a -c +\left(b -d \right) x \right)}{16 \left(b -d \right)}-\frac{\sinh \left(a +c +\left(b +d \right) x \right)}{16 \left(b +d \right)}+\frac{\sinh \left(3 a -c +\left(3 b -d \right) x \right)}{96 b -32 d}+\frac{\sinh \left(3 a +c +\left(3 b +d \right) x \right)}{96 b +32 d}+\frac{\sinh \left(\left(5 b -d \right) x +5 a -c \right)}{160 b -32 d}+\frac{\sinh \left(\left(5 b +d \right) x +5 a +c \right)}{160 b +32 d}+\frac{\cosh \left(a -c +\left(b -d \right) x \right)}{16 b -16 d}-\frac{\cosh \left(a +c +\left(b +d \right) x \right)}{16 \left(b +d \right)}-\frac{\cosh \left(3 a -c +\left(3 b -d \right) x \right)}{32 \left(3 b -d \right)}+\frac{\cosh \left(3 a +c +\left(3 b +d \right) x \right)}{96 b +32 d}-\frac{\cosh \left(\left(5 b -d \right) x +5 a -c \right)}{32 \left(5 b -d \right)}+\frac{\cosh \left(\left(5 b +d \right) x +5 a +c \right)}{160 b +32 d}"," ",0,"-1/16*sinh(a-c+(b-d)*x)/(b-d)-1/16*sinh(a+c+(b+d)*x)/(b+d)+1/32*sinh(3*a-c+(3*b-d)*x)/(3*b-d)+1/32*sinh(3*a+c+(3*b+d)*x)/(3*b+d)+1/32/(5*b-d)*sinh((5*b-d)*x+5*a-c)+1/32/(5*b+d)*sinh((5*b+d)*x+5*a+c)+1/16*cosh(a-c+(b-d)*x)/(b-d)-1/16*cosh(a+c+(b+d)*x)/(b+d)-1/32*cosh(3*a-c+(3*b-d)*x)/(3*b-d)+1/32*cosh(3*a+c+(3*b+d)*x)/(3*b+d)-1/32*cosh((5*b-d)*x+5*a-c)/(5*b-d)+1/32*cosh((5*b+d)*x+5*a+c)/(5*b+d)","A"
961,1,202,125,0.428000," ","int(exp(d*x+c)*cosh(b*x+a)^3*sinh(b*x+a),x)","-\frac{\sinh \left(2 a -c +\left(2 b -d \right) x \right)}{8 \left(2 b -d \right)}+\frac{\sinh \left(2 a +c +\left(2 b +d \right) x \right)}{16 b +8 d}-\frac{\sinh \left(\left(4 b -d \right) x +4 a -c \right)}{16 \left(4 b -d \right)}+\frac{\sinh \left(\left(4 b +d \right) x +4 a +c \right)}{64 b +16 d}+\frac{\cosh \left(2 a -c +\left(2 b -d \right) x \right)}{16 b -8 d}+\frac{\cosh \left(2 a +c +\left(2 b +d \right) x \right)}{16 b +8 d}+\frac{\cosh \left(\left(4 b -d \right) x +4 a -c \right)}{64 b -16 d}+\frac{\cosh \left(\left(4 b +d \right) x +4 a +c \right)}{64 b +16 d}"," ",0,"-1/8*sinh(2*a-c+(2*b-d)*x)/(2*b-d)+1/8*sinh(2*a+c+(2*b+d)*x)/(2*b+d)-1/16/(4*b-d)*sinh((4*b-d)*x+4*a-c)+1/16/(4*b+d)*sinh((4*b+d)*x+4*a+c)+1/8*cosh(2*a-c+(2*b-d)*x)/(2*b-d)+1/8*cosh(2*a+c+(2*b+d)*x)/(2*b+d)+1/16*cosh((4*b-d)*x+4*a-c)/(4*b-d)+1/16*cosh((4*b+d)*x+4*a+c)/(4*b+d)","A"
962,1,178,140,0.401000," ","int(exp(d*x+c)*cosh(b*x+a)^3,x)","\frac{3 \sinh \left(a -c +\left(b -d \right) x \right)}{8 \left(b -d \right)}+\frac{3 \sinh \left(a +c +\left(b +d \right) x \right)}{8 \left(b +d \right)}+\frac{\sinh \left(3 a -c +\left(3 b -d \right) x \right)}{24 b -8 d}+\frac{\sinh \left(3 a +c +\left(3 b +d \right) x \right)}{24 b +8 d}-\frac{3 \cosh \left(a -c +\left(b -d \right) x \right)}{8 \left(b -d \right)}+\frac{3 \cosh \left(a +c +\left(b +d \right) x \right)}{8 \left(b +d \right)}-\frac{\cosh \left(3 a -c +\left(3 b -d \right) x \right)}{8 \left(3 b -d \right)}+\frac{\cosh \left(3 a +c +\left(3 b +d \right) x \right)}{24 b +8 d}"," ",0,"3/8*sinh(a-c+(b-d)*x)/(b-d)+3/8*sinh(a+c+(b+d)*x)/(b+d)+1/8*sinh(3*a-c+(3*b-d)*x)/(3*b-d)+1/8*sinh(3*a+c+(3*b+d)*x)/(3*b+d)-3/8*cosh(a-c+(b-d)*x)/(b-d)+3/8*cosh(a+c+(b+d)*x)/(b+d)-1/8*cosh(3*a-c+(3*b-d)*x)/(3*b-d)+1/8*cosh(3*a+c+(3*b+d)*x)/(3*b+d)","A"
963,0,0,114,0.830000," ","int(exp(d*x+c)*cosh(b*x+a)^3*csch(b*x+a),x)","\int {\mathrm e}^{d x +c} \left(\cosh^{3}\left(b x +a \right)\right) \mathrm{csch}\left(b x +a \right)\, dx"," ",0,"int(exp(d*x+c)*cosh(b*x+a)^3*csch(b*x+a),x)","F"
964,0,0,148,0.805000," ","int(exp(d*x+c)*cosh(b*x+a)^3*csch(b*x+a)^2,x)","\int {\mathrm e}^{d x +c} \left(\cosh^{3}\left(b x +a \right)\right) \mathrm{csch}\left(b x +a \right)^{2}\, dx"," ",0,"int(exp(d*x+c)*cosh(b*x+a)^3*csch(b*x+a)^2,x)","F"
965,0,0,125,0.885000," ","int(exp(d*x+c)*cosh(b*x+a)^3*csch(b*x+a)^3,x)","\int {\mathrm e}^{d x +c} \left(\cosh^{3}\left(b x +a \right)\right) \mathrm{csch}\left(b x +a \right)^{3}\, dx"," ",0,"int(exp(d*x+c)*cosh(b*x+a)^3*csch(b*x+a)^3,x)","F"
966,0,0,67,1.028000," ","int(exp(b*x+a)*sinh(d*x+c)^(3/2)-3/4*d^2*exp(b*x+a)/(b^2-9/4*d^2)/sinh(d*x+c)^(1/2),x)","\int {\mathrm e}^{b x +a} \left(\sinh^{\frac{3}{2}}\left(d x +c \right)\right)-\frac{3 d^{2} {\mathrm e}^{b x +a}}{4 \left(b^{2}-\frac{9 d^{2}}{4}\right) \sqrt{\sinh \left(d x +c \right)}}\, dx"," ",0,"int(exp(b*x+a)*sinh(d*x+c)^(3/2)-3/4*d^2*exp(b*x+a)/(b^2-9/4*d^2)/sinh(d*x+c)^(1/2),x)","F"
967,1,17,16,0.021000," ","int(exp(n*cosh(b*x+a))*sinh(b*x+a),x)","\frac{{\mathrm e}^{n \cosh \left(b x +a \right)}}{b n}"," ",0,"exp(n*cosh(b*x+a))/b/n","A"
968,1,39,21,3.066000," ","int(exp(n*cosh(b*c*x+a*c))*sinh(c*(b*x+a)),x)","\frac{\frac{\sinh \left(n \cosh \left(c \left(b x +a \right)\right)\right)}{n}+\frac{\cosh \left(n \cosh \left(c \left(b x +a \right)\right)\right)}{n}}{c b}"," ",0,"1/c/b*(1/n*sinh(n*cosh(c*(b*x+a)))+cosh(n*cosh(c*(b*x+a)))/n)","A"
969,1,39,22,2.830000," ","int(exp(n*cosh(c*(b*x+a)))*sinh(b*c*x+a*c),x)","\frac{\frac{\sinh \left(n \cosh \left(c \left(b x +a \right)\right)\right)}{n}+\frac{\cosh \left(n \cosh \left(c \left(b x +a \right)\right)\right)}{n}}{c b}"," ",0,"1/c/b*(1/n*sinh(n*cosh(c*(b*x+a)))+cosh(n*cosh(c*(b*x+a)))/n)","A"
970,1,17,13,0.072000," ","int(exp(n*cosh(b*x+a))*tanh(b*x+a),x)","-\frac{\Ei \left(1, -n \cosh \left(b x +a \right)\right)}{b}"," ",0,"-1/b*Ei(1,-n*cosh(b*x+a))","A"
971,1,31,18,0.401000," ","int(exp(n*cosh(b*c*x+a*c))*tanh(c*(b*x+a)),x)","\frac{\Shi \left(n \cosh \left(c \left(b x +a \right)\right)\right)+\Chi \left(n \cosh \left(c \left(b x +a \right)\right)\right)}{c b}"," ",0,"1/c/b*(Shi(n*cosh(c*(b*x+a)))+Chi(n*cosh(c*(b*x+a))))","A"
972,1,31,19,0.342000," ","int(exp(n*cosh(c*(b*x+a)))*tanh(b*c*x+a*c),x)","\frac{\Shi \left(n \cosh \left(c \left(b x +a \right)\right)\right)+\Chi \left(n \cosh \left(c \left(b x +a \right)\right)\right)}{c b}"," ",0,"1/c/b*(Shi(n*cosh(c*(b*x+a)))+Chi(n*cosh(c*(b*x+a))))","A"
973,1,17,16,0.060000," ","int(exp(n*sinh(b*x+a))*cosh(b*x+a),x)","\frac{{\mathrm e}^{n \sinh \left(b x +a \right)}}{b n}"," ",0,"exp(n*sinh(b*x+a))/b/n","A"
974,1,39,21,2.835000," ","int(exp(n*sinh(b*c*x+a*c))*cosh(c*(b*x+a)),x)","\frac{\frac{\sinh \left(n \sinh \left(c \left(b x +a \right)\right)\right)}{n}+\frac{\cosh \left(n \sinh \left(c \left(b x +a \right)\right)\right)}{n}}{c b}"," ",0,"1/c/b*(1/n*sinh(n*sinh(c*(b*x+a)))+cosh(n*sinh(c*(b*x+a)))/n)","A"
975,1,39,22,2.679000," ","int(exp(n*sinh(c*(b*x+a)))*cosh(b*c*x+a*c),x)","\frac{\frac{\sinh \left(n \sinh \left(c \left(b x +a \right)\right)\right)}{n}+\frac{\cosh \left(n \sinh \left(c \left(b x +a \right)\right)\right)}{n}}{c b}"," ",0,"1/c/b*(1/n*sinh(n*sinh(c*(b*x+a)))+cosh(n*sinh(c*(b*x+a)))/n)","A"
976,1,17,13,0.102000," ","int(exp(n*sinh(b*x+a))*coth(b*x+a),x)","-\frac{\Ei \left(1, -n \sinh \left(b x +a \right)\right)}{b}"," ",0,"-1/b*Ei(1,-n*sinh(b*x+a))","A"
977,1,31,18,0.402000," ","int(exp(n*sinh(b*c*x+a*c))*coth(c*(b*x+a)),x)","\frac{\Shi \left(n \sinh \left(c \left(b x +a \right)\right)\right)+\Chi \left(n \sinh \left(c \left(b x +a \right)\right)\right)}{c b}"," ",0,"1/c/b*(Shi(n*sinh(c*(b*x+a)))+Chi(n*sinh(c*(b*x+a))))","A"
978,1,31,19,0.401000," ","int(exp(n*sinh(c*(b*x+a)))*coth(b*c*x+a*c),x)","\frac{\Shi \left(n \sinh \left(c \left(b x +a \right)\right)\right)+\Chi \left(n \sinh \left(c \left(b x +a \right)\right)\right)}{c b}"," ",0,"1/c/b*(Shi(n*sinh(c*(b*x+a)))+Chi(n*sinh(c*(b*x+a))))","A"
979,1,12,11,0.161000," ","int(sech(x)^2/(a+b*tanh(x)),x)","\frac{\ln \left(a +b \tanh \left(x \right)\right)}{b}"," ",0,"ln(a+b*tanh(x))/b","A"
980,1,116,3,0.232000," ","int(sech(x)^2/(1+tanh(x)^2),x)","\frac{2 \sqrt{2}\, \arctan \left(\frac{2 \tanh \left(\frac{x}{2}\right)}{-2+2 \sqrt{2}}\right)}{-2+2 \sqrt{2}}-\frac{2 \arctan \left(\frac{2 \tanh \left(\frac{x}{2}\right)}{-2+2 \sqrt{2}}\right)}{-2+2 \sqrt{2}}-\frac{2 \sqrt{2}\, \arctan \left(\frac{2 \tanh \left(\frac{x}{2}\right)}{2+2 \sqrt{2}}\right)}{2+2 \sqrt{2}}-\frac{2 \arctan \left(\frac{2 \tanh \left(\frac{x}{2}\right)}{2+2 \sqrt{2}}\right)}{2+2 \sqrt{2}}"," ",0,"2*2^(1/2)/(-2+2*2^(1/2))*arctan(2*tanh(1/2*x)/(-2+2*2^(1/2)))-2/(-2+2*2^(1/2))*arctan(2*tanh(1/2*x)/(-2+2*2^(1/2)))-2*2^(1/2)/(2+2*2^(1/2))*arctan(2*tanh(1/2*x)/(2+2*2^(1/2)))-2/(2+2*2^(1/2))*arctan(2*tanh(1/2*x)/(2+2*2^(1/2)))","B"
981,1,116,7,0.295000," ","int(sech(x)^2/(9+tanh(x)^2),x)","-\frac{2 \sqrt{10}\, \arctan \left(\frac{18 \tanh \left(\frac{x}{2}\right)}{6 \sqrt{10}+6}\right)}{6 \sqrt{10}+6}-\frac{2 \arctan \left(\frac{18 \tanh \left(\frac{x}{2}\right)}{6 \sqrt{10}+6}\right)}{6 \sqrt{10}+6}+\frac{2 \sqrt{10}\, \arctan \left(\frac{18 \tanh \left(\frac{x}{2}\right)}{6 \sqrt{10}-6}\right)}{6 \sqrt{10}-6}-\frac{2 \arctan \left(\frac{18 \tanh \left(\frac{x}{2}\right)}{6 \sqrt{10}-6}\right)}{6 \sqrt{10}-6}"," ",0,"-2*10^(1/2)/(6*10^(1/2)+6)*arctan(18*tanh(1/2*x)/(6*10^(1/2)+6))-2/(6*10^(1/2)+6)*arctan(18*tanh(1/2*x)/(6*10^(1/2)+6))+2*10^(1/2)/(6*10^(1/2)-6)*arctan(18*tanh(1/2*x)/(6*10^(1/2)-6))-2/(6*10^(1/2)-6)*arctan(18*tanh(1/2*x)/(6*10^(1/2)-6))","B"
982,1,20,19,0.152000," ","int(sech(x)^2*(a+b*tanh(x))^n,x)","\frac{\left(a +b \tanh \left(x \right)\right)^{n +1}}{b \left(n +1\right)}"," ",0,"(a+b*tanh(x))^(n+1)/b/(n+1)","A"
983,1,34,4,0.174000," ","int(sech(x)^2*(1+1/(1-tanh(x)^2)),x)","-\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)+\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)+\frac{2 \tanh \left(\frac{x}{2}\right)}{\tanh^{2}\left(\frac{x}{2}\right)+1}"," ",0,"-ln(tanh(1/2*x)-1)+ln(tanh(1/2*x)+1)+2*tanh(1/2*x)/(tanh(1/2*x)^2+1)","B"
984,1,34,4,0.174000," ","int(sech(x)^2*(2-tanh(x)^2)/(1-tanh(x)^2),x)","-\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)+\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)+\frac{2 \tanh \left(\frac{x}{2}\right)}{\tanh^{2}\left(\frac{x}{2}\right)+1}"," ",0,"-ln(tanh(1/2*x)-1)+ln(tanh(1/2*x)+1)+2*tanh(1/2*x)/(tanh(1/2*x)^2+1)","B"
985,1,42,5,0.245000," ","int(sech(x)^2/(2+2*tanh(x)+tanh(x)^2),x)","\frac{i \ln \left(\tanh^{2}\left(\frac{x}{2}\right)+\left(1-i\right) \tanh \left(\frac{x}{2}\right)+1\right)}{2}-\frac{i \ln \left(\tanh^{2}\left(\frac{x}{2}\right)+\left(1+i\right) \tanh \left(\frac{x}{2}\right)+1\right)}{2}"," ",0,"1/2*I*ln(tanh(1/2*x)^2+(1-I)*tanh(1/2*x)+1)-1/2*I*ln(tanh(1/2*x)^2+(1+I)*tanh(1/2*x)+1)","C"
986,1,32,15,0.231000," ","int(sech(x)^2/(tanh(x)^2+tanh(x)^3),x)","-\frac{\tanh \left(\frac{x}{2}\right)}{2}+2 \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)-\frac{1}{2 \tanh \left(\frac{x}{2}\right)}-\ln \left(\tanh \left(\frac{x}{2}\right)\right)"," ",0,"-1/2*tanh(1/2*x)+2*ln(tanh(1/2*x)+1)-1/2/tanh(1/2*x)-ln(tanh(1/2*x))","B"
987,1,32,15,0.235000," ","int(sech(x)^2/(-tanh(x)^2+tanh(x)^3),x)","\frac{\tanh \left(\frac{x}{2}\right)}{2}+2 \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)+\frac{1}{2 \tanh \left(\frac{x}{2}\right)}-\ln \left(\tanh \left(\frac{x}{2}\right)\right)"," ",0,"1/2*tanh(1/2*x)+2*ln(tanh(1/2*x)-1)+1/2/tanh(1/2*x)-ln(tanh(1/2*x))","B"
988,1,34,71,0.240000," ","int(sech(x)^2/(3-4*tanh(x)^3),x)","\frac{\left(\munderset{\textit{\_R} =\RootOf \left(36 \textit{\_Z}^{3}+1\right)}{\sum}\textit{\_R} \ln \left(-24 \tanh \left(\frac{x}{2}\right) \textit{\_R}^{2}+\tanh^{2}\left(\frac{x}{2}\right)+1\right)\right)}{3}"," ",0,"1/3*sum(_R*ln(-24*tanh(1/2*x)*_R^2+tanh(1/2*x)^2+1),_R=RootOf(36*_Z^3+1))","C"
989,1,62,17,0.253000," ","int(sech(x)^2/(11-5*tanh(x)+5*tanh(x)^2),x)","\frac{i \sqrt{195}\, \ln \left(11 \left(\tanh^{2}\left(\frac{x}{2}\right)\right)+\left(-i \sqrt{195}-5\right) \tanh \left(\frac{x}{2}\right)+11\right)}{195}-\frac{i \sqrt{195}\, \ln \left(11 \left(\tanh^{2}\left(\frac{x}{2}\right)\right)+\left(i \sqrt{195}-5\right) \tanh \left(\frac{x}{2}\right)+11\right)}{195}"," ",0,"1/195*I*195^(1/2)*ln(11*tanh(1/2*x)^2+(-I*195^(1/2)-5)*tanh(1/2*x)+11)-1/195*I*195^(1/2)*ln(11*tanh(1/2*x)^2+(I*195^(1/2)-5)*tanh(1/2*x)+11)","C"
990,1,100,28,0.204000," ","int(sech(x)^2*(a+b*tanh(x))/(c+d*tanh(x)),x)","\frac{\ln \left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) c +2 \tanh \left(\frac{x}{2}\right) d +c \right) a}{d}-\frac{\ln \left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) c +2 \tanh \left(\frac{x}{2}\right) d +c \right) c b}{d^{2}}+\frac{2 \tanh \left(\frac{x}{2}\right) b}{d \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}-\frac{\ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right) a}{d}+\frac{\ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right) c b}{d^{2}}"," ",0,"1/d*ln(tanh(1/2*x)^2*c+2*tanh(1/2*x)*d+c)*a-1/d^2*ln(tanh(1/2*x)^2*c+2*tanh(1/2*x)*d+c)*c*b+2/d*tanh(1/2*x)*b/(tanh(1/2*x)^2+1)-1/d*ln(tanh(1/2*x)^2+1)*a+1/d^2*ln(tanh(1/2*x)^2+1)*c*b","B"
991,1,251,51,0.231000," ","int(sech(x)^2*(a+b*tanh(x))^2/(c+d*tanh(x)),x)","\frac{\ln \left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) c +2 \tanh \left(\frac{x}{2}\right) d +c \right) a^{2}}{d}-\frac{2 \ln \left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) c +2 \tanh \left(\frac{x}{2}\right) d +c \right) c b a}{d^{2}}+\frac{\ln \left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) c +2 \tanh \left(\frac{x}{2}\right) d +c \right) c^{2} b^{2}}{d^{3}}+\frac{4 \left(\tanh^{3}\left(\frac{x}{2}\right)\right) a b}{d \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}-\frac{2 \left(\tanh^{3}\left(\frac{x}{2}\right)\right) b^{2} c}{d^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}+\frac{2 b^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{d \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}+\frac{4 \tanh \left(\frac{x}{2}\right) a b}{d \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}-\frac{2 \tanh \left(\frac{x}{2}\right) b^{2} c}{d^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}-\frac{\ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right) a^{2}}{d}+\frac{2 \ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right) c b a}{d^{2}}-\frac{\ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right) c^{2} b^{2}}{d^{3}}"," ",0,"1/d*ln(tanh(1/2*x)^2*c+2*tanh(1/2*x)*d+c)*a^2-2/d^2*ln(tanh(1/2*x)^2*c+2*tanh(1/2*x)*d+c)*c*b*a+1/d^3*ln(tanh(1/2*x)^2*c+2*tanh(1/2*x)*d+c)*c^2*b^2+4/d/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)^3*a*b-2/d^2/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)^3*b^2*c+2/d/(tanh(1/2*x)^2+1)^2*b^2*tanh(1/2*x)^2+4/d/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)*a*b-2/d^2/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)*b^2*c-1/d*ln(tanh(1/2*x)^2+1)*a^2+2/d^2*ln(tanh(1/2*x)^2+1)*c*b*a-1/d^3*ln(tanh(1/2*x)^2+1)*c^2*b^2","B"
992,1,542,74,0.257000," ","int(sech(x)^2*(a+b*tanh(x))^3/(c+d*tanh(x)),x)","\frac{\ln \left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) c +2 \tanh \left(\frac{x}{2}\right) d +c \right) a^{3}}{d}-\frac{3 \ln \left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) c +2 \tanh \left(\frac{x}{2}\right) d +c \right) a^{2} b c}{d^{2}}+\frac{3 \ln \left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) c +2 \tanh \left(\frac{x}{2}\right) d +c \right) c^{2} b^{2} a}{d^{3}}-\frac{\ln \left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) c +2 \tanh \left(\frac{x}{2}\right) d +c \right) c^{3} b^{3}}{d^{4}}+\frac{6 \left(\tanh^{5}\left(\frac{x}{2}\right)\right) a^{2} b}{d \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}-\frac{6 \left(\tanh^{5}\left(\frac{x}{2}\right)\right) a \,b^{2} c}{d^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}+\frac{2 \left(\tanh^{5}\left(\frac{x}{2}\right)\right) b^{3} c^{2}}{d^{3} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}+\frac{6 \left(\tanh^{4}\left(\frac{x}{2}\right)\right) a \,b^{2}}{d \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}-\frac{2 \left(\tanh^{4}\left(\frac{x}{2}\right)\right) b^{3} c}{d^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}+\frac{12 \left(\tanh^{3}\left(\frac{x}{2}\right)\right) a^{2} b}{d \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}-\frac{12 \left(\tanh^{3}\left(\frac{x}{2}\right)\right) a \,b^{2} c}{d^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}+\frac{4 \left(\tanh^{3}\left(\frac{x}{2}\right)\right) b^{3} c^{2}}{d^{3} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}+\frac{8 \left(\tanh^{3}\left(\frac{x}{2}\right)\right) b^{3}}{3 d \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}+\frac{6 \left(\tanh^{2}\left(\frac{x}{2}\right)\right) a \,b^{2}}{d \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}-\frac{2 \left(\tanh^{2}\left(\frac{x}{2}\right)\right) b^{3} c}{d^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}+\frac{6 \tanh \left(\frac{x}{2}\right) a^{2} b}{d \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}-\frac{6 \tanh \left(\frac{x}{2}\right) a \,b^{2} c}{d^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}+\frac{2 \tanh \left(\frac{x}{2}\right) b^{3} c^{2}}{d^{3} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}-\frac{\ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right) a^{3}}{d}+\frac{3 \ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right) a^{2} b c}{d^{2}}-\frac{3 \ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right) c^{2} b^{2} a}{d^{3}}+\frac{\ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right) c^{3} b^{3}}{d^{4}}"," ",0,"1/d*ln(tanh(1/2*x)^2*c+2*tanh(1/2*x)*d+c)*a^3-3/d^2*ln(tanh(1/2*x)^2*c+2*tanh(1/2*x)*d+c)*a^2*b*c+3/d^3*ln(tanh(1/2*x)^2*c+2*tanh(1/2*x)*d+c)*c^2*b^2*a-1/d^4*ln(tanh(1/2*x)^2*c+2*tanh(1/2*x)*d+c)*c^3*b^3+6/d/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)^5*a^2*b-6/d^2/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)^5*a*b^2*c+2/d^3/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)^5*b^3*c^2+6/d/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)^4*a*b^2-2/d^2/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)^4*b^3*c+12/d/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)^3*a^2*b-12/d^2/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)^3*a*b^2*c+4/d^3/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)^3*b^3*c^2+8/3/d/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)^3*b^3+6/d/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)^2*a*b^2-2/d^2/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)^2*b^3*c+6/d/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)*a^2*b-6/d^2/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)*a*b^2*c+2/d^3/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)*b^3*c^2-1/d*ln(tanh(1/2*x)^2+1)*a^3+3/d^2*ln(tanh(1/2*x)^2+1)*a^2*b*c-3/d^3*ln(tanh(1/2*x)^2+1)*c^2*b^2*a+1/d^4*ln(tanh(1/2*x)^2+1)*c^3*b^3","B"
993,1,11,10,0.155000," ","int(sech(x)^2*tanh(x)^2/(2+tanh(x)^3)^2,x)","-\frac{1}{3 \left(2+\tanh^{3}\left(x \right)\right)}"," ",0,"-1/3/(2+tanh(x)^3)","A"
994,1,306,25,0.644000," ","int(sech(x)^2*tanh(x)^6*(1-tanh(x)^2)^3,x)","-\frac{\sinh^{5}\left(x \right)}{2 \cosh \left(x \right)^{7}}-\frac{5 \left(\sinh^{3}\left(x \right)\right)}{8 \cosh \left(x \right)^{7}}-\frac{5 \sinh \left(x \right)}{16 \cosh \left(x \right)^{7}}+\frac{5 \left(\frac{16}{35}+\frac{\mathrm{sech}\left(x \right)^{6}}{7}+\frac{6 \mathrm{sech}\left(x \right)^{4}}{35}+\frac{8 \mathrm{sech}\left(x \right)^{2}}{35}\right) \tanh \left(x \right)}{16}+\frac{3 \left(\sinh^{7}\left(x \right)\right)}{2 \cosh \left(x \right)^{9}}+\frac{21 \left(\sinh^{5}\left(x \right)\right)}{8 \cosh \left(x \right)^{9}}+\frac{35 \left(\sinh^{3}\left(x \right)\right)}{16 \cosh \left(x \right)^{9}}+\frac{105 \sinh \left(x \right)}{128 \cosh \left(x \right)^{9}}-\frac{105 \left(\frac{128}{315}+\frac{\mathrm{sech}\left(x \right)^{8}}{9}+\frac{8 \mathrm{sech}\left(x \right)^{6}}{63}+\frac{16 \mathrm{sech}\left(x \right)^{4}}{105}+\frac{64 \mathrm{sech}\left(x \right)^{2}}{315}\right) \tanh \left(x \right)}{128}-\frac{3 \left(\sinh^{9}\left(x \right)\right)}{2 \cosh \left(x \right)^{11}}-\frac{27 \left(\sinh^{7}\left(x \right)\right)}{8 \cosh \left(x \right)^{11}}-\frac{63 \left(\sinh^{5}\left(x \right)\right)}{16 \cosh \left(x \right)^{11}}-\frac{315 \left(\sinh^{3}\left(x \right)\right)}{128 \cosh \left(x \right)^{11}}-\frac{189 \sinh \left(x \right)}{256 \cosh \left(x \right)^{11}}+\frac{189 \left(\frac{256}{693}+\frac{\mathrm{sech}\left(x \right)^{10}}{11}+\frac{10 \mathrm{sech}\left(x \right)^{8}}{99}+\frac{80 \mathrm{sech}\left(x \right)^{6}}{693}+\frac{32 \mathrm{sech}\left(x \right)^{4}}{231}+\frac{128 \mathrm{sech}\left(x \right)^{2}}{693}\right) \tanh \left(x \right)}{256}+\frac{\sinh^{11}\left(x \right)}{2 \cosh \left(x \right)^{13}}+\frac{11 \left(\sinh^{9}\left(x \right)\right)}{8 \cosh \left(x \right)^{13}}+\frac{33 \left(\sinh^{7}\left(x \right)\right)}{16 \cosh \left(x \right)^{13}}+\frac{231 \left(\sinh^{5}\left(x \right)\right)}{128 \cosh \left(x \right)^{13}}+\frac{231 \left(\sinh^{3}\left(x \right)\right)}{256 \cosh \left(x \right)^{13}}+\frac{231 \sinh \left(x \right)}{1024 \cosh \left(x \right)^{13}}-\frac{231 \left(\frac{1024}{3003}+\frac{\mathrm{sech}\left(x \right)^{12}}{13}+\frac{12 \mathrm{sech}\left(x \right)^{10}}{143}+\frac{40 \mathrm{sech}\left(x \right)^{8}}{429}+\frac{320 \mathrm{sech}\left(x \right)^{6}}{3003}+\frac{128 \mathrm{sech}\left(x \right)^{4}}{1001}+\frac{512 \mathrm{sech}\left(x \right)^{2}}{3003}\right) \tanh \left(x \right)}{1024}"," ",0,"-1/2*sinh(x)^5/cosh(x)^7-5/8*sinh(x)^3/cosh(x)^7-5/16*sinh(x)/cosh(x)^7+5/16*(16/35+1/7*sech(x)^6+6/35*sech(x)^4+8/35*sech(x)^2)*tanh(x)+3/2*sinh(x)^7/cosh(x)^9+21/8*sinh(x)^5/cosh(x)^9+35/16*sinh(x)^3/cosh(x)^9+105/128*sinh(x)/cosh(x)^9-105/128*(128/315+1/9*sech(x)^8+8/63*sech(x)^6+16/105*sech(x)^4+64/315*sech(x)^2)*tanh(x)-3/2*sinh(x)^9/cosh(x)^11-27/8*sinh(x)^7/cosh(x)^11-63/16*sinh(x)^5/cosh(x)^11-315/128*sinh(x)^3/cosh(x)^11-189/256*sinh(x)/cosh(x)^11+189/256*(256/693+1/11*sech(x)^10+10/99*sech(x)^8+80/693*sech(x)^6+32/231*sech(x)^4+128/693*sech(x)^2)*tanh(x)+1/2*sinh(x)^11/cosh(x)^13+11/8*sinh(x)^9/cosh(x)^13+33/16*sinh(x)^7/cosh(x)^13+231/128*sinh(x)^5/cosh(x)^13+231/256*sinh(x)^3/cosh(x)^13+231/1024*sinh(x)/cosh(x)^13-231/1024*(1024/3003+1/13*sech(x)^12+12/143*sech(x)^10+40/429*sech(x)^8+320/3003*sech(x)^6+128/1001*sech(x)^4+512/3003*sech(x)^2)*tanh(x)","B"
995,1,78,23,0.258000," ","int(sech(x)^2*(2+tanh(x)^2)/(1+tanh(x)^3),x)","\frac{i \sqrt{3}\, \ln \left(\tanh^{2}\left(\frac{x}{2}\right)+\left(-i \sqrt{3}-1\right) \tanh \left(\frac{x}{2}\right)+1\right)}{3}-\frac{i \sqrt{3}\, \ln \left(\tanh^{2}\left(\frac{x}{2}\right)+\left(i \sqrt{3}-1\right) \tanh \left(\frac{x}{2}\right)+1\right)}{3}+2 \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)-\ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)"," ",0,"1/3*I*3^(1/2)*ln(tanh(1/2*x)^2+(-I*3^(1/2)-1)*tanh(1/2*x)+1)-1/3*I*3^(1/2)*ln(tanh(1/2*x)^2+(I*3^(1/2)-1)*tanh(1/2*x)+1)+2*ln(tanh(1/2*x)+1)-ln(tanh(1/2*x)^2+1)","C"
996,1,5,4,0.371000," ","int((1+cosh(x)^2)*sech(x)^2,x)","x +\tanh \left(x \right)"," ",0,"x+tanh(x)","A"
997,1,63,17,0.326000," ","int(sech(x)^2/(1+sech(x)^2-3*tanh(x)),x)","-\frac{\sqrt{17}\, \ln \left(-\sqrt{17}\, \tanh \left(\frac{x}{2}\right)+2 \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-3 \tanh \left(\frac{x}{2}\right)+2\right)}{17}+\frac{\sqrt{17}\, \ln \left(\sqrt{17}\, \tanh \left(\frac{x}{2}\right)+2 \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-3 \tanh \left(\frac{x}{2}\right)+2\right)}{17}"," ",0,"-1/17*17^(1/2)*ln(-17^(1/2)*tanh(1/2*x)+2*tanh(1/2*x)^2-3*tanh(1/2*x)+2)+1/17*17^(1/2)*ln(17^(1/2)*tanh(1/2*x)+2*tanh(1/2*x)^2-3*tanh(1/2*x)+2)","B"
998,0,0,8,0.394000," ","int(sech(x)^2/(4-sech(x)^2)^(1/2),x)","\int \frac{\mathrm{sech}\left(x \right)^{2}}{\sqrt{4-\mathrm{sech}\left(x \right)^{2}}}\, dx"," ",0,"int(sech(x)^2/(4-sech(x)^2)^(1/2),x)","F"
999,0,0,7,0.518000," ","int(sech(x)^2/(1-4*tanh(x)^2)^(1/2),x)","\int \frac{\mathrm{sech}\left(x \right)^{2}}{\sqrt{1-4 \left(\tanh^{2}\left(x \right)\right)}}\, dx"," ",0,"int(sech(x)^2/(1-4*tanh(x)^2)^(1/2),x)","F"
1000,0,0,12,0.518000," ","int(sech(x)^2/(-4+tanh(x)^2)^(1/2),x)","\int \frac{\mathrm{sech}\left(x \right)^{2}}{\sqrt{-4+\tanh^{2}\left(x \right)}}\, dx"," ",0,"int(sech(x)^2/(-4+tanh(x)^2)^(1/2),x)","F"
1001,0,0,17,0.652000," ","int(sech(x)^2*(1+coth(x)^2)^(1/2),x)","\int \mathrm{sech}\left(x \right)^{2} \sqrt{1+\coth^{2}\left(x \right)}\, dx"," ",0,"int(sech(x)^2*(1+coth(x)^2)^(1/2),x)","F"
1002,0,0,18,0.474000," ","int(sech(x)^2*(1+tanh(x)^2)^(1/2),x)","\int \mathrm{sech}\left(x \right)^{2} \sqrt{1+\tanh^{2}\left(x \right)}\, dx"," ",0,"int(sech(x)^2*(1+tanh(x)^2)^(1/2),x)","F"
1003,1,20,13,0.089000," ","int(sech(x)^4*(-1+sech(x)^2)^2*tanh(x),x)","-\frac{\mathrm{sech}\left(x \right)^{8}}{8}+\frac{\mathrm{sech}\left(x \right)^{6}}{3}-\frac{\mathrm{sech}\left(x \right)^{4}}{4}"," ",0,"-1/8*sech(x)^8+1/3*sech(x)^6-1/4*sech(x)^4","A"
1004,1,61,41,0.369000," ","int(exp(n*sinh(b*x+a))*sinh(2*b*x+2*a),x)","\frac{\left({\mathrm e}^{2 b x +2 a} n -n -2 \,{\mathrm e}^{b x +a}\right) {\mathrm e}^{-b x -a +\frac{n \,{\mathrm e}^{b x +a}}{2}-\frac{n \,{\mathrm e}^{-b x -a}}{2}}}{n^{2} b}"," ",0,"1/n^2/b*(exp(2*b*x+2*a)*n-n-2*exp(b*x+a))*exp(-b*x-a+1/2*n*exp(b*x+a)-1/2*n*exp(-b*x-a))","A"
1005,1,61,41,0.221000," ","int(exp(n*sinh(b*x+a))*sinh(2*b*x+2*a),x)","\frac{\left({\mathrm e}^{2 b x +2 a} n -n -2 \,{\mathrm e}^{b x +a}\right) {\mathrm e}^{-b x -a +\frac{n \,{\mathrm e}^{b x +a}}{2}-\frac{n \,{\mathrm e}^{-b x -a}}{2}}}{n^{2} b}"," ",0,"1/n^2/b*(exp(2*b*x+2*a)*n-n-2*exp(b*x+a))*exp(-b*x-a+1/2*n*exp(b*x+a)-1/2*n*exp(-b*x-a))","A"
1006,1,65,50,0.344000," ","int(exp(n*sinh(1/2*b*x+1/2*a))*sinh(b*x+a),x)","\frac{2 \left(n \,{\mathrm e}^{b x +a}-n -2 \,{\mathrm e}^{\frac{b x}{2}+\frac{a}{2}}\right) {\mathrm e}^{-\frac{b x}{2}-\frac{a}{2}+\frac{n \,{\mathrm e}^{\frac{b x}{2}+\frac{a}{2}}}{2}-\frac{n \,{\mathrm e}^{-\frac{b x}{2}-\frac{a}{2}}}{2}}}{n^{2} b}"," ",0,"2/n^2/b*(n*exp(b*x+a)-n-2*exp(1/2*b*x+1/2*a))*exp(-1/2*b*x-1/2*a+1/2*n*exp(1/2*b*x+1/2*a)-1/2*n*exp(-1/2*b*x-1/2*a))","A"
1007,1,65,50,0.196000," ","int(exp(n*sinh(1/2*b*x+1/2*a))*sinh(b*x+a),x)","\frac{2 \left(n \,{\mathrm e}^{b x +a}-n -2 \,{\mathrm e}^{\frac{b x}{2}+\frac{a}{2}}\right) {\mathrm e}^{-\frac{b x}{2}-\frac{a}{2}+\frac{n \,{\mathrm e}^{\frac{b x}{2}+\frac{a}{2}}}{2}-\frac{n \,{\mathrm e}^{-\frac{b x}{2}-\frac{a}{2}}}{2}}}{n^{2} b}"," ",0,"2/n^2/b*(n*exp(b*x+a)-n-2*exp(1/2*b*x+1/2*a))*exp(-1/2*b*x-1/2*a+1/2*n*exp(1/2*b*x+1/2*a)-1/2*n*exp(-1/2*b*x-1/2*a))","A"
1008,1,59,41,0.470000," ","int(exp(n*cosh(b*x+a))*sinh(2*b*x+2*a),x)","\frac{\left({\mathrm e}^{2 b x +2 a} n +n -2 \,{\mathrm e}^{b x +a}\right) {\mathrm e}^{-b x -a +\frac{n \,{\mathrm e}^{b x +a}}{2}+\frac{n \,{\mathrm e}^{-b x -a}}{2}}}{n^{2} b}"," ",0,"1/n^2/b*(exp(2*b*x+2*a)*n+n-2*exp(b*x+a))*exp(-b*x-a+1/2*n*exp(b*x+a)+1/2*n*exp(-b*x-a))","A"
1009,1,59,41,0.331000," ","int(exp(n*cosh(b*x+a))*sinh(2*b*x+2*a),x)","\frac{\left({\mathrm e}^{2 b x +2 a} n +n -2 \,{\mathrm e}^{b x +a}\right) {\mathrm e}^{-b x -a +\frac{n \,{\mathrm e}^{b x +a}}{2}+\frac{n \,{\mathrm e}^{-b x -a}}{2}}}{n^{2} b}"," ",0,"1/n^2/b*(exp(2*b*x+2*a)*n+n-2*exp(b*x+a))*exp(-b*x-a+1/2*n*exp(b*x+a)+1/2*n*exp(-b*x-a))","A"
1010,1,63,50,0.437000," ","int(exp(n*cosh(1/2*b*x+1/2*a))*sinh(b*x+a),x)","\frac{2 \left(n \,{\mathrm e}^{b x +a}+n -2 \,{\mathrm e}^{\frac{b x}{2}+\frac{a}{2}}\right) {\mathrm e}^{-\frac{b x}{2}-\frac{a}{2}+\frac{n \,{\mathrm e}^{\frac{b x}{2}+\frac{a}{2}}}{2}+\frac{n \,{\mathrm e}^{-\frac{b x}{2}-\frac{a}{2}}}{2}}}{n^{2} b}"," ",0,"2/n^2/b*(n*exp(b*x+a)+n-2*exp(1/2*b*x+1/2*a))*exp(-1/2*b*x-1/2*a+1/2*n*exp(1/2*b*x+1/2*a)+1/2*n*exp(-1/2*b*x-1/2*a))","A"
1011,1,63,50,0.314000," ","int(exp(n*cosh(1/2*b*x+1/2*a))*sinh(b*x+a),x)","\frac{2 \left(n \,{\mathrm e}^{b x +a}+n -2 \,{\mathrm e}^{\frac{b x}{2}+\frac{a}{2}}\right) {\mathrm e}^{-\frac{b x}{2}-\frac{a}{2}+\frac{n \,{\mathrm e}^{\frac{b x}{2}+\frac{a}{2}}}{2}+\frac{n \,{\mathrm e}^{-\frac{b x}{2}-\frac{a}{2}}}{2}}}{n^{2} b}"," ",0,"2/n^2/b*(n*exp(b*x+a)+n-2*exp(1/2*b*x+1/2*a))*exp(-1/2*b*x-1/2*a+1/2*n*exp(1/2*b*x+1/2*a)+1/2*n*exp(-1/2*b*x-1/2*a))","A"
1012,1,8,7,0.166000," ","int(csch(x)*ln(tanh(x))*sech(x),x)","\frac{\ln \left(\tanh \left(x \right)\right)^{2}}{2}"," ",0,"1/2*ln(tanh(x))^2","A"
1013,1,8,7,0.120000," ","int(csch(2*x)*ln(tanh(x)),x)","\frac{\ln \left(\tanh \left(x \right)\right)^{2}}{4}"," ",0,"1/4*ln(tanh(x))^2","A"
1014,0,0,20,0.108000," ","int(cosh(b*x+a)*F(c,d,sinh(b*x+a),r,s),x)","\int \cosh \left(b x +a \right) F \left(c , d , \sinh \left(b x +a \right), r , s\right)\, dx"," ",0,"int(cosh(b*x+a)*F(c,d,sinh(b*x+a),r,s),x)","F"
1015,0,0,20,0.073000," ","int(F(c,d,cosh(b*x+a),r,s)*sinh(b*x+a),x)","\int F \left(c , d , \cosh \left(b x +a \right), r , s\right) \sinh \left(b x +a \right)\, dx"," ",0,"int(F(c,d,cosh(b*x+a),r,s)*sinh(b*x+a),x)","F"
1016,0,0,22,0.156000," ","int(F(c,d,tanh(b*x+a),r,s)*sech(b*x+a)^2,x)","\int F \left(c , d , \tanh \left(b x +a \right), r , s\right) \mathrm{sech}\left(b x +a \right)^{2}\, dx"," ",0,"int(F(c,d,tanh(b*x+a),r,s)*sech(b*x+a)^2,x)","F"
1017,0,0,22,0.125000," ","int(csch(b*x+a)^2*F(c,d,coth(b*x+a),r,s),x)","\int \mathrm{csch}\left(b x +a \right)^{2} F \left(c , d , \coth \left(b x +a \right), r , s\right)\, dx"," ",0,"int(csch(b*x+a)^2*F(c,d,coth(b*x+a),r,s),x)","F"
1018,1,12,11,0.086000," ","int(sech(x)*(5-11*sech(x)^2)*tanh(x),x)","-5 \,\mathrm{sech}\left(x \right)+\frac{11 \mathrm{sech}\left(x \right)^{3}}{3}"," ",0,"-5*sech(x)+11/3*sech(x)^3","A"
1019,1,13,12,0.128000," ","int(csch(x)^2/(a+b*coth(x)),x)","-\frac{\ln \left(a +b \coth \left(x \right)\right)}{b}"," ",0,"-ln(a+b*coth(x))/b","A"
1020,1,21,20,0.157000," ","int((a+b*coth(x))^n*csch(x)^2,x)","-\frac{\left(a +b \coth \left(x \right)\right)^{n +1}}{b \left(n +1\right)}"," ",0,"-(a+b*coth(x))^(n+1)/b/(n+1)","A"
1021,1,5,4,0.385000," ","int(csch(x)^2*(-1+sinh(x)^2),x)","x +\coth \left(x \right)"," ",0,"x+coth(x)","A"
1022,1,32,4,0.171000," ","int((-1-1/(1-coth(x)^2))*csch(x)^2,x)","\frac{\tanh \left(\frac{x}{2}\right)}{2}-\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)+\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)+\frac{1}{2 \tanh \left(\frac{x}{2}\right)}"," ",0,"1/2*tanh(1/2*x)-ln(tanh(1/2*x)-1)+ln(tanh(1/2*x)+1)+1/2/tanh(1/2*x)","B"
1023,1,94,28,0.178000," ","int((a+b*coth(x))*csch(x)^2/(c+d*coth(x)),x)","-\frac{b \tanh \left(\frac{x}{2}\right)}{2 d}-\frac{\ln \left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) d +2 c \tanh \left(\frac{x}{2}\right)+d \right) a}{d}+\frac{\ln \left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) d +2 c \tanh \left(\frac{x}{2}\right)+d \right) c b}{d^{2}}-\frac{b}{2 d \tanh \left(\frac{x}{2}\right)}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right) a}{d}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right) c b}{d^{2}}"," ",0,"-1/2*b/d*tanh(1/2*x)-1/d*ln(tanh(1/2*x)^2*d+2*c*tanh(1/2*x)+d)*a+1/d^2*ln(tanh(1/2*x)^2*d+2*c*tanh(1/2*x)+d)*c*b-1/2*b/d/tanh(1/2*x)+1/d*ln(tanh(1/2*x))*a-1/d^2*ln(tanh(1/2*x))*c*b","B"
1024,1,203,51,0.226000," ","int((a+b*coth(x))^2*csch(x)^2/(c+d*coth(x)),x)","-\frac{b^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{8 d}-\frac{b a \tanh \left(\frac{x}{2}\right)}{d}+\frac{b^{2} \tanh \left(\frac{x}{2}\right) c}{2 d^{2}}-\frac{\ln \left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) d +2 c \tanh \left(\frac{x}{2}\right)+d \right) a^{2}}{d}+\frac{2 \ln \left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) d +2 c \tanh \left(\frac{x}{2}\right)+d \right) c b a}{d^{2}}-\frac{\ln \left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) d +2 c \tanh \left(\frac{x}{2}\right)+d \right) c^{2} b^{2}}{d^{3}}-\frac{b^{2}}{8 d \tanh \left(\frac{x}{2}\right)^{2}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right) a^{2}}{d}-\frac{2 \ln \left(\tanh \left(\frac{x}{2}\right)\right) c b a}{d^{2}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right) c^{2} b^{2}}{d^{3}}-\frac{b a}{d \tanh \left(\frac{x}{2}\right)}+\frac{b^{2} c}{2 d^{2} \tanh \left(\frac{x}{2}\right)}"," ",0,"-1/8*b^2/d*tanh(1/2*x)^2-b/d*a*tanh(1/2*x)+1/2*b^2/d^2*tanh(1/2*x)*c-1/d*ln(tanh(1/2*x)^2*d+2*c*tanh(1/2*x)+d)*a^2+2/d^2*ln(tanh(1/2*x)^2*d+2*c*tanh(1/2*x)+d)*c*b*a-1/d^3*ln(tanh(1/2*x)^2*d+2*c*tanh(1/2*x)+d)*c^2*b^2-1/8*b^2/d/tanh(1/2*x)^2+1/d*ln(tanh(1/2*x))*a^2-2/d^2*ln(tanh(1/2*x))*c*b*a+1/d^3*ln(tanh(1/2*x))*c^2*b^2-b/d/tanh(1/2*x)*a+1/2*b^2/d^2/tanh(1/2*x)*c","B"
1025,1,378,74,0.240000," ","int((a+b*coth(x))^3*csch(x)^2/(c+d*coth(x)),x)","-\frac{b^{3} \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{24 d}-\frac{3 b^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)\right) a}{8 d}+\frac{b^{3} \left(\tanh^{2}\left(\frac{x}{2}\right)\right) c}{8 d^{2}}-\frac{3 b \,a^{2} \tanh \left(\frac{x}{2}\right)}{2 d}+\frac{3 b^{2} c a \tanh \left(\frac{x}{2}\right)}{2 d^{2}}-\frac{b^{3} c^{2} \tanh \left(\frac{x}{2}\right)}{2 d^{3}}-\frac{b^{3} \tanh \left(\frac{x}{2}\right)}{8 d}-\frac{\ln \left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) d +2 c \tanh \left(\frac{x}{2}\right)+d \right) a^{3}}{d}+\frac{3 \ln \left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) d +2 c \tanh \left(\frac{x}{2}\right)+d \right) a^{2} b c}{d^{2}}-\frac{3 \ln \left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) d +2 c \tanh \left(\frac{x}{2}\right)+d \right) c^{2} b^{2} a}{d^{3}}+\frac{\ln \left(\left(\tanh^{2}\left(\frac{x}{2}\right)\right) d +2 c \tanh \left(\frac{x}{2}\right)+d \right) c^{3} b^{3}}{d^{4}}-\frac{b^{3}}{24 d \tanh \left(\frac{x}{2}\right)^{3}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right) a^{3}}{d}-\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)\right) a^{2} b c}{d^{2}}+\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)\right) c^{2} b^{2} a}{d^{3}}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right) c^{3} b^{3}}{d^{4}}-\frac{3 b \,a^{2}}{2 d \tanh \left(\frac{x}{2}\right)}+\frac{3 b^{2} c a}{2 d^{2} \tanh \left(\frac{x}{2}\right)}-\frac{b^{3} c^{2}}{2 d^{3} \tanh \left(\frac{x}{2}\right)}-\frac{b^{3}}{8 d \tanh \left(\frac{x}{2}\right)}-\frac{3 b^{2} a}{8 d \tanh \left(\frac{x}{2}\right)^{2}}+\frac{b^{3} c}{8 d^{2} \tanh \left(\frac{x}{2}\right)^{2}}"," ",0,"-1/24*b^3/d*tanh(1/2*x)^3-3/8*b^2/d*tanh(1/2*x)^2*a+1/8*b^3/d^2*tanh(1/2*x)^2*c-3/2*b/d*a^2*tanh(1/2*x)+3/2*b^2/d^2*c*a*tanh(1/2*x)-1/2*b^3/d^3*c^2*tanh(1/2*x)-1/8*b^3/d*tanh(1/2*x)-1/d*ln(tanh(1/2*x)^2*d+2*c*tanh(1/2*x)+d)*a^3+3/d^2*ln(tanh(1/2*x)^2*d+2*c*tanh(1/2*x)+d)*a^2*b*c-3/d^3*ln(tanh(1/2*x)^2*d+2*c*tanh(1/2*x)+d)*c^2*b^2*a+1/d^4*ln(tanh(1/2*x)^2*d+2*c*tanh(1/2*x)+d)*c^3*b^3-1/24*b^3/d/tanh(1/2*x)^3+1/d*ln(tanh(1/2*x))*a^3-3/d^2*ln(tanh(1/2*x))*a^2*b*c+3/d^3*ln(tanh(1/2*x))*c^2*b^2*a-1/d^4*ln(tanh(1/2*x))*c^3*b^3-3/2*b/d/tanh(1/2*x)*a^2+3/2*b^2/d^2/tanh(1/2*x)*c*a-1/2*b^3/d^3/tanh(1/2*x)*c^2-1/8*b^3/d/tanh(1/2*x)-3/8*b^2/d/tanh(1/2*x)^2*a+1/8*b^3/d^2/tanh(1/2*x)^2*c","B"
1026,1,40,32,0.033000," ","int(cosh(x)^3*(a+b*cosh(x)^2)^3*sinh(x),x)","\frac{b^{3} \left(\cosh^{10}\left(x \right)\right)}{10}+\frac{3 a \,b^{2} \left(\cosh^{8}\left(x \right)\right)}{8}+\frac{a^{2} b \left(\cosh^{6}\left(x \right)\right)}{2}+\frac{a^{3} \left(\cosh^{4}\left(x \right)\right)}{4}"," ",0,"1/10*b^3*cosh(x)^10+3/8*a*b^2*cosh(x)^8+1/2*a^2*b*cosh(x)^6+1/4*a^3*cosh(x)^4","A"
1027,1,40,32,0.035000," ","int(cosh(x)*sinh(x)^3*(a+b*sinh(x)^2)^3,x)","\frac{b^{3} \left(\sinh^{10}\left(x \right)\right)}{10}+\frac{3 a \,b^{2} \left(\sinh^{8}\left(x \right)\right)}{8}+\frac{a^{2} b \left(\sinh^{6}\left(x \right)\right)}{2}+\frac{a^{3} \left(\sinh^{4}\left(x \right)\right)}{4}"," ",0,"1/10*b^3*sinh(x)^10+3/8*a*b^2*sinh(x)^8+1/2*a^2*b*sinh(x)^6+1/4*a^3*sinh(x)^4","A"
1028,1,16,15,0.050000," ","int(cosh(x)*sinh(x)*(a+b*sinh(x)^2)^(1/2),x)","\frac{\left(a +b \left(\sinh^{2}\left(x \right)\right)\right)^{\frac{3}{2}}}{3 b}"," ",0,"1/3*(a+b*sinh(x)^2)^(3/2)/b","A"
1029,1,22,21,0.237000," ","int(csch(x)*sech(x)*(1+ln(coth(x))^2)^(1/2),x)","-\frac{\arcsinh \left(\ln \left(\coth \left(x \right)\right)\right)}{2}-\frac{\ln \left(\coth \left(x \right)\right) \sqrt{1+\ln \left(\coth \left(x \right)\right)^{2}}}{2}"," ",0,"-1/2*arcsinh(ln(coth(x)))-1/2*ln(coth(x))*(1+ln(coth(x))^2)^(1/2)","A"
1030,1,7,6,0.157000," ","int(coth(x^(1/2))*csch(x^(1/2))/x^(1/2),x)","-2 \,\mathrm{csch}\left(\sqrt{x}\right)"," ",0,"-2*csch(x^(1/2))","A"
1031,1,7,6,0.093000," ","int(cosh(x^(1/2))*sinh(x^(1/2))/x^(1/2),x)","\cosh^{2}\left(\sqrt{x}\right)"," ",0,"cosh(x^(1/2))^2","A"
1032,1,7,6,0.128000," ","int(sech(x^(1/2))*tanh(x^(1/2))/x^(1/2),x)","-2 \,\mathrm{sech}\left(\sqrt{x}\right)"," ",0,"-2*sech(x^(1/2))","A"
1033,1,75,44,0.390000," ","int(sinh(x)^2/(a+b*sinh(2*x)),x)","-\frac{\ln \left(\tanh \left(x \right)-1\right)}{4 b}-\frac{\ln \left(1+\tanh \left(x \right)\right)}{4 b}+\frac{\ln \left(a \left(\tanh^{2}\left(x \right)\right)-2 b \tanh \left(x \right)-a \right)}{4 b}-\frac{\arctanh \left(\frac{2 a \tanh \left(x \right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{2 \sqrt{a^{2}+b^{2}}}"," ",0,"-1/4/b*ln(tanh(x)-1)-1/4/b*ln(1+tanh(x))+1/4/b*ln(a*tanh(x)^2-2*b*tanh(x)-a)-1/2/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(x)-2*b)/(a^2+b^2)^(1/2))","A"
1034,1,75,44,0.340000," ","int(cosh(x)^2/(a+b*sinh(2*x)),x)","-\frac{\ln \left(\tanh \left(x \right)-1\right)}{4 b}-\frac{\ln \left(1+\tanh \left(x \right)\right)}{4 b}+\frac{\ln \left(a \left(\tanh^{2}\left(x \right)\right)-2 b \tanh \left(x \right)-a \right)}{4 b}+\frac{\arctanh \left(\frac{2 a \tanh \left(x \right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{2 \sqrt{a^{2}+b^{2}}}"," ",0,"-1/4/b*ln(tanh(x)-1)-1/4/b*ln(1+tanh(x))+1/4/b*ln(a*tanh(x)^2-2*b*tanh(x)-a)+1/2/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(x)-2*b)/(a^2+b^2)^(1/2))","A"
1035,1,92,40,0.283000," ","int(sinh(x)^2/(a+b*cosh(2*x)),x)","-\frac{\ln \left(\tanh \left(x \right)-1\right)}{4 b}+\frac{\ln \left(1+\tanh \left(x \right)\right)}{4 b}-\frac{\arctanh \left(\frac{\left(a -b \right) \tanh \left(x \right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right) a}{2 b \sqrt{\left(a +b \right) \left(a -b \right)}}-\frac{\arctanh \left(\frac{\left(a -b \right) \tanh \left(x \right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{2 \sqrt{\left(a +b \right) \left(a -b \right)}}"," ",0,"-1/4/b*ln(tanh(x)-1)+1/4/b*ln(1+tanh(x))-1/2/b/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(x)/((a+b)*(a-b))^(1/2))*a-1/2/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(x)/((a+b)*(a-b))^(1/2))","B"
1036,1,92,40,0.261000," ","int(cosh(x)^2/(a+b*cosh(2*x)),x)","-\frac{\ln \left(\tanh \left(x \right)-1\right)}{4 b}+\frac{\ln \left(1+\tanh \left(x \right)\right)}{4 b}-\frac{\arctanh \left(\frac{\left(a -b \right) \tanh \left(x \right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right) a}{2 b \sqrt{\left(a +b \right) \left(a -b \right)}}+\frac{\arctanh \left(\frac{\left(a -b \right) \tanh \left(x \right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{2 \sqrt{\left(a +b \right) \left(a -b \right)}}"," ",0,"-1/4/b*ln(tanh(x)-1)+1/4/b*ln(1+tanh(x))-1/2/b/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(x)/((a+b)*(a-b))^(1/2))*a+1/2/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(x)/((a+b)*(a-b))^(1/2))","B"
1037,1,39,24,0.363000," ","int(tanh(d*x+c)/(a*sinh(d*x+c)^2)^(1/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{\sinh \left(d x +c \right)}{\cosh \left(d x +c \right)^{2} \sqrt{a \left(\sinh^{2}\left(d x +c \right)\right)}}, \sinh \left(d x +c \right)\right)}{d}"," ",0,"`int/indef0`(sinh(d*x+c)/cosh(d*x+c)^2/(a*sinh(d*x+c)^2)^(1/2),sinh(d*x+c))/d","C"
1038,1,31,25,0.342000," ","int(coth(d*x+c)/(a*cosh(d*x+c)^2)^(1/2),x)","-\frac{\cosh \left(d x +c \right) \arctanh \left(\cosh \left(d x +c \right)\right)}{\sqrt{a \left(\cosh^{2}\left(d x +c \right)\right)}\, d}"," ",0,"-1/(a*cosh(d*x+c)^2)^(1/2)*cosh(d*x+c)*arctanh(cosh(d*x+c))/d","A"
1039,1,68,36,0.252000," ","int(x*cosh(2*x)*sech(x),x)","2 \left(-\frac{1}{2}+\frac{x}{2}\right) {\mathrm e}^{x}+2 \left(-\frac{1}{2}-\frac{x}{2}\right) {\mathrm e}^{-x}+i x \ln \left(1+i {\mathrm e}^{x}\right)-i x \ln \left(1-i {\mathrm e}^{x}\right)+i \dilog \left(1+i {\mathrm e}^{x}\right)-i \dilog \left(1-i {\mathrm e}^{x}\right)"," ",0,"2*(-1/2+1/2*x)*exp(x)+2*(-1/2-1/2*x)*exp(-x)+I*x*ln(1+I*exp(x))-I*x*ln(1-I*exp(x))+I*dilog(1+I*exp(x))-I*dilog(1-I*exp(x))","A"
1040,1,26,12,0.219000," ","int(x*cosh(2*x)*sech(x)^2,x)","x^{2}-2 x +\frac{2 x}{1+{\mathrm e}^{2 x}}+\ln \left(1+{\mathrm e}^{2 x}\right)"," ",0,"x^2-2*x+2*x/(1+exp(2*x))+ln(1+exp(2*x))","B"
1041,1,75,38,0.273000," ","int(x*cosh(2*x)*sech(x)^3,x)","-\frac{{\mathrm e}^{x} \left(x \,{\mathrm e}^{2 x}+{\mathrm e}^{2 x}-x +1\right)}{\left(1+{\mathrm e}^{2 x}\right)^{2}}-\frac{3 i x \ln \left(1+i {\mathrm e}^{x}\right)}{2}+\frac{3 i x \ln \left(1-i {\mathrm e}^{x}\right)}{2}-\frac{3 i \dilog \left(1+i {\mathrm e}^{x}\right)}{2}+\frac{3 i \dilog \left(1-i {\mathrm e}^{x}\right)}{2}"," ",0,"-exp(x)*(x*exp(2*x)+exp(2*x)-x+1)/(1+exp(2*x))^2-3/2*I*x*ln(1+I*exp(x))+3/2*I*x*ln(1-I*exp(x))-3/2*I*dilog(1+I*exp(x))+3/2*I*dilog(1-I*exp(x))","A"
1042,0,0,16,0.843000," ","int(csch(x)^(1/2)*(x*cosh(x)-4*sech(x)*tanh(x)),x)","\int \sqrt{\mathrm{csch}\left(x \right)}\, \left(x \cosh \left(x \right)-4 \,\mathrm{sech}\left(x \right) \tanh \left(x \right)\right)\, dx"," ",0,"int(csch(x)^(1/2)*(x*cosh(x)-4*sech(x)*tanh(x)),x)","F"
1043,1,17,16,0.064000," ","int(sinh(x)*(cosh(x)+sinh(x)),x)","\frac{\cosh \left(x \right) \sinh \left(x \right)}{2}-\frac{x}{2}+\frac{\left(\cosh^{2}\left(x \right)\right)}{2}"," ",0,"1/2*cosh(x)*sinh(x)-1/2*x+1/2*cosh(x)^2","A"
1044,1,48,51,0.207000," ","int((1+sinh(x)^2)/(1+cosh(x)+sinh(x)),x)","-\frac{1}{2 \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{4}-\frac{1}{2 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{1}{\tanh \left(\frac{x}{2}\right)+1}+\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{4}"," ",0,"-1/2/(tanh(1/2*x)-1)+1/4*ln(tanh(1/2*x)-1)-1/2/(tanh(1/2*x)+1)^2+1/(tanh(1/2*x)+1)+3/4*ln(tanh(1/2*x)+1)","A"
1045,1,194,117,0.368000," ","int(x^5*cosh(b*x^3+a)^7*sinh(b*x^3+a),x)","\frac{\left(8 b \,x^{3}-1\right) {\mathrm e}^{8 b \,x^{3}+8 a}}{49152 b^{2}}+\frac{\left(6 b \,x^{3}-1\right) {\mathrm e}^{6 b \,x^{3}+6 a}}{4608 b^{2}}+\frac{7 \left(4 b \,x^{3}-1\right) {\mathrm e}^{4 b \,x^{3}+4 a}}{6144 b^{2}}+\frac{7 \left(2 b \,x^{3}-1\right) {\mathrm e}^{2 b \,x^{3}+2 a}}{1536 b^{2}}+\frac{7 \left(2 b \,x^{3}+1\right) {\mathrm e}^{-2 b \,x^{3}-2 a}}{1536 b^{2}}+\frac{7 \left(4 b \,x^{3}+1\right) {\mathrm e}^{-4 b \,x^{3}-4 a}}{6144 b^{2}}+\frac{\left(6 b \,x^{3}+1\right) {\mathrm e}^{-6 b \,x^{3}-6 a}}{4608 b^{2}}+\frac{\left(8 b \,x^{3}+1\right) {\mathrm e}^{-8 b \,x^{3}-8 a}}{49152 b^{2}}"," ",0,"1/49152*(8*b*x^3-1)/b^2*exp(8*b*x^3+8*a)+1/4608*(6*b*x^3-1)/b^2*exp(6*b*x^3+6*a)+7/6144*(4*b*x^3-1)/b^2*exp(4*b*x^3+4*a)+7/1536*(2*b*x^3-1)/b^2*exp(2*b*x^3+2*a)+7/1536*(2*b*x^3+1)/b^2*exp(-2*b*x^3-2*a)+7/6144*(4*b*x^3+1)/b^2*exp(-4*b*x^3-4*a)+1/4608*(6*b*x^3+1)/b^2*exp(-6*b*x^3-6*a)+1/49152*(8*b*x^3+1)/b^2*exp(-8*b*x^3-8*a)","A"
1046,1,48,29,0.078000," ","int(cosh(x)^2/(exp(x)+1),x)","-\frac{1}{2 \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{4}-\frac{1}{2 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{1}{\tanh \left(\frac{x}{2}\right)+1}+\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{4}"," ",0,"-1/2/(tanh(1/2*x)-1)+1/4*ln(tanh(1/2*x)-1)-1/2/(tanh(1/2*x)+1)^2+1/(tanh(1/2*x)+1)+3/4*ln(tanh(1/2*x)+1)","A"
1047,0,0,17,0.390000," ","int(sech(x)*(1+sech(x))^(1/2)*tanh(x)^3,x)","\int \mathrm{sech}\left(x \right) \sqrt{1+\mathrm{sech}\left(x \right)}\, \left(\tanh^{3}\left(x \right)\right)\, dx"," ",0,"int(sech(x)*(1+sech(x))^(1/2)*tanh(x)^3,x)","F"
1048,0,0,25,0.446000," ","int(coth(x)^3*csch(x)*(1+csch(x))^(1/2),x)","\int \left(\coth^{3}\left(x \right)\right) \mathrm{csch}\left(x \right) \sqrt{1+\mathrm{csch}\left(x \right)}\, dx"," ",0,"int(coth(x)^3*csch(x)*(1+csch(x))^(1/2),x)","F"
1049,1,5,4,0.141000," ","int(cosh(x)^x*(ln(cosh(x))+x*tanh(x)),x)","\cosh^{x}\left(x \right)"," ",0,"cosh(x)^x","A"
1050,1,34,26,0.023000," ","int(F^(b*x+a)*(cosh(d*x+c)+sinh(d*x+c))^n,x)","\frac{F^{b x +a} \left(\cosh \left(d x +c \right)+\sinh \left(d x +c \right)\right)^{n}}{d n +b \ln \left(F \right)}"," ",0,"1/(d*n+b*ln(F))*F^(b*x+a)*(cosh(d*x+c)+sinh(d*x+c))^n","A"
1051,1,37,31,0.023000," ","int(F^(b*x+a)*(cosh(d*x+c)-sinh(d*x+c))^n,x)","\frac{F^{b x +a} \left(\cosh \left(d x +c \right)-\sinh \left(d x +c \right)\right)^{n}}{b \ln \left(F \right)-d n}"," ",0,"1/(b*ln(F)-d*n)*F^(b*x+a)*(cosh(d*x+c)-sinh(d*x+c))^n","A"
1052,1,138,43,0.779000," ","int((cosh(b*x+a)^4-sinh(b*x+a)^4)/(cosh(b*x+a)^4+sinh(b*x+a)^4),x)","\frac{i \sqrt{2}\, \ln \left(-2 i \sqrt{2}\, \left(\tanh^{3}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)+\tanh^{4}\left(\frac{b x}{2}+\frac{a}{2}\right)-2 i \sqrt{2}\, \tanh \left(\frac{b x}{2}+\frac{a}{2}\right)-2 \left(\tanh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)+1\right)}{4 b}-\frac{i \sqrt{2}\, \ln \left(2 i \sqrt{2}\, \left(\tanh^{3}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)+\tanh^{4}\left(\frac{b x}{2}+\frac{a}{2}\right)+2 i \sqrt{2}\, \tanh \left(\frac{b x}{2}+\frac{a}{2}\right)-2 \left(\tanh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)+1\right)}{4 b}"," ",0,"1/4*I/b*2^(1/2)*ln(-2*I*2^(1/2)*tanh(1/2*b*x+1/2*a)^3+tanh(1/2*b*x+1/2*a)^4-2*I*2^(1/2)*tanh(1/2*b*x+1/2*a)-2*tanh(1/2*b*x+1/2*a)^2+1)-1/4*I/b*2^(1/2)*ln(2*I*2^(1/2)*tanh(1/2*b*x+1/2*a)^3+tanh(1/2*b*x+1/2*a)^4+2*I*2^(1/2)*tanh(1/2*b*x+1/2*a)-2*tanh(1/2*b*x+1/2*a)^2+1)","C"
1053,1,120,40,1.122000," ","int((cosh(b*x+a)^3-sinh(b*x+a)^3)/(cosh(b*x+a)^3+sinh(b*x+a)^3),x)","\frac{2 i \sqrt{3}\, \ln \left(\tanh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)+\left(-i \sqrt{3}-1\right) \tanh \left(\frac{b x}{2}+\frac{a}{2}\right)+1\right)}{9 b}-\frac{2 i \sqrt{3}\, \ln \left(\tanh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)+\left(i \sqrt{3}-1\right) \tanh \left(\frac{b x}{2}+\frac{a}{2}\right)+1\right)}{9 b}-\frac{2}{3 b \left(\tanh \left(\frac{b x}{2}+\frac{a}{2}\right)+1\right)^{2}}+\frac{2}{3 b \left(\tanh \left(\frac{b x}{2}+\frac{a}{2}\right)+1\right)}"," ",0,"2/9*I/b*3^(1/2)*ln(tanh(1/2*b*x+1/2*a)^2+(-I*3^(1/2)-1)*tanh(1/2*b*x+1/2*a)+1)-2/9*I/b*3^(1/2)*ln(tanh(1/2*b*x+1/2*a)^2+(I*3^(1/2)-1)*tanh(1/2*b*x+1/2*a)+1)-2/3/b/(tanh(1/2*b*x+1/2*a)+1)^2+2/3/b/(tanh(1/2*b*x+1/2*a)+1)","C"
1054,1,148,11,0.632000," ","int((cosh(b*x+a)^2-sinh(b*x+a)^2)/(cosh(b*x+a)^2+sinh(b*x+a)^2),x)","\frac{2 \sqrt{2}\, \arctan \left(\frac{2 \tanh \left(\frac{b x}{2}+\frac{a}{2}\right)}{-2+2 \sqrt{2}}\right)}{b \left(-2+2 \sqrt{2}\right)}-\frac{2 \arctan \left(\frac{2 \tanh \left(\frac{b x}{2}+\frac{a}{2}\right)}{-2+2 \sqrt{2}}\right)}{b \left(-2+2 \sqrt{2}\right)}-\frac{2 \sqrt{2}\, \arctan \left(\frac{2 \tanh \left(\frac{b x}{2}+\frac{a}{2}\right)}{2+2 \sqrt{2}}\right)}{b \left(2+2 \sqrt{2}\right)}-\frac{2 \arctan \left(\frac{2 \tanh \left(\frac{b x}{2}+\frac{a}{2}\right)}{2+2 \sqrt{2}}\right)}{b \left(2+2 \sqrt{2}\right)}"," ",0,"2/b*2^(1/2)/(-2+2*2^(1/2))*arctan(2*tanh(1/2*b*x+1/2*a)/(-2+2*2^(1/2)))-2/b/(-2+2*2^(1/2))*arctan(2*tanh(1/2*b*x+1/2*a)/(-2+2*2^(1/2)))-2/b*2^(1/2)/(2+2*2^(1/2))*arctan(2*tanh(1/2*b*x+1/2*a)/(2+2*2^(1/2)))-2/b/(2+2*2^(1/2))*arctan(2*tanh(1/2*b*x+1/2*a)/(2+2*2^(1/2)))","B"
1055,1,36,20,0.019000," ","int((cosh(b*x+a)-sinh(b*x+a))/(cosh(b*x+a)+sinh(b*x+a)),x)","-\frac{\cosh \left(b x +a \right)-\sinh \left(b x +a \right)}{2 b \left(\cosh \left(b x +a \right)+\sinh \left(b x +a \right)\right)}"," ",0,"-1/2/b*(cosh(b*x+a)-sinh(b*x+a))/(cosh(b*x+a)+sinh(b*x+a))","A"
1056,1,36,14,1.080000," ","int((-csch(b*x+a)+sech(b*x+a))/(csch(b*x+a)+sech(b*x+a)),x)","\frac{-\frac{2}{\tanh \left(\frac{b x}{2}+\frac{a}{2}\right)+1}+\frac{2}{\left(\tanh \left(\frac{b x}{2}+\frac{a}{2}\right)+1\right)^{2}}}{b}"," ",0,"1/b*(-2/(tanh(1/2*b*x+1/2*a)+1)+2/(tanh(1/2*b*x+1/2*a)+1)^2)","B"
1057,1,148,12,0.803000," ","int((-csch(b*x+a)^2+sech(b*x+a)^2)/(csch(b*x+a)^2+sech(b*x+a)^2),x)","-\frac{2 \sqrt{2}\, \arctan \left(\frac{2 \tanh \left(\frac{b x}{2}+\frac{a}{2}\right)}{-2+2 \sqrt{2}}\right)}{b \left(-2+2 \sqrt{2}\right)}+\frac{2 \arctan \left(\frac{2 \tanh \left(\frac{b x}{2}+\frac{a}{2}\right)}{-2+2 \sqrt{2}}\right)}{b \left(-2+2 \sqrt{2}\right)}+\frac{2 \sqrt{2}\, \arctan \left(\frac{2 \tanh \left(\frac{b x}{2}+\frac{a}{2}\right)}{2+2 \sqrt{2}}\right)}{b \left(2+2 \sqrt{2}\right)}+\frac{2 \arctan \left(\frac{2 \tanh \left(\frac{b x}{2}+\frac{a}{2}\right)}{2+2 \sqrt{2}}\right)}{b \left(2+2 \sqrt{2}\right)}"," ",0,"-2/b*2^(1/2)/(-2+2*2^(1/2))*arctan(2*tanh(1/2*b*x+1/2*a)/(-2+2*2^(1/2)))+2/b/(-2+2*2^(1/2))*arctan(2*tanh(1/2*b*x+1/2*a)/(-2+2*2^(1/2)))+2/b*2^(1/2)/(2+2*2^(1/2))*arctan(2*tanh(1/2*b*x+1/2*a)/(2+2*2^(1/2)))+2/b/(2+2*2^(1/2))*arctan(2*tanh(1/2*b*x+1/2*a)/(2+2*2^(1/2)))","B"
1058,1,120,40,1.408000," ","int((-csch(b*x+a)^3+sech(b*x+a)^3)/(csch(b*x+a)^3+sech(b*x+a)^3),x)","\frac{2 i \sqrt{3}\, \ln \left(\tanh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)+\left(i \sqrt{3}-1\right) \tanh \left(\frac{b x}{2}+\frac{a}{2}\right)+1\right)}{9 b}-\frac{2 i \sqrt{3}\, \ln \left(\tanh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)+\left(-i \sqrt{3}-1\right) \tanh \left(\frac{b x}{2}+\frac{a}{2}\right)+1\right)}{9 b}+\frac{2}{3 b \left(\tanh \left(\frac{b x}{2}+\frac{a}{2}\right)+1\right)^{2}}-\frac{2}{3 b \left(\tanh \left(\frac{b x}{2}+\frac{a}{2}\right)+1\right)}"," ",0,"2/9*I/b*3^(1/2)*ln(tanh(1/2*b*x+1/2*a)^2+(I*3^(1/2)-1)*tanh(1/2*b*x+1/2*a)+1)-2/9*I/b*3^(1/2)*ln(tanh(1/2*b*x+1/2*a)^2+(-I*3^(1/2)-1)*tanh(1/2*b*x+1/2*a)+1)+2/3/b/(tanh(1/2*b*x+1/2*a)+1)^2-2/3/b/(tanh(1/2*b*x+1/2*a)+1)","C"
1059,1,138,43,0.875000," ","int((-csch(b*x+a)^4+sech(b*x+a)^4)/(csch(b*x+a)^4+sech(b*x+a)^4),x)","\frac{i \sqrt{2}\, \ln \left(2 i \sqrt{2}\, \left(\tanh^{3}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)+\tanh^{4}\left(\frac{b x}{2}+\frac{a}{2}\right)+2 i \sqrt{2}\, \tanh \left(\frac{b x}{2}+\frac{a}{2}\right)-2 \left(\tanh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)+1\right)}{4 b}-\frac{i \sqrt{2}\, \ln \left(-2 i \sqrt{2}\, \left(\tanh^{3}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)+\tanh^{4}\left(\frac{b x}{2}+\frac{a}{2}\right)-2 i \sqrt{2}\, \tanh \left(\frac{b x}{2}+\frac{a}{2}\right)-2 \left(\tanh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)+1\right)}{4 b}"," ",0,"1/4*I/b*2^(1/2)*ln(2*I*2^(1/2)*tanh(1/2*b*x+1/2*a)^3+tanh(1/2*b*x+1/2*a)^4+2*I*2^(1/2)*tanh(1/2*b*x+1/2*a)-2*tanh(1/2*b*x+1/2*a)^2+1)-1/4*I/b*2^(1/2)*ln(-2*I*2^(1/2)*tanh(1/2*b*x+1/2*a)^3+tanh(1/2*b*x+1/2*a)^4-2*I*2^(1/2)*tanh(1/2*b*x+1/2*a)-2*tanh(1/2*b*x+1/2*a)^2+1)","C"