1,1,11,10,0.006000," ","int(sinh(b*x+a),x)","\frac{\cosh \left(b x +a \right)}{b}"," ",0,"cosh(b*x+a)/b","A"
2,1,27,21,0.018000," ","int(sinh(b*x+a)^2,x)","\frac{\frac{\cosh \left(b x +a \right) \sinh \left(b x +a \right)}{2}-\frac{b x}{2}-\frac{a}{2}}{b}"," ",0,"1/b*(1/2*cosh(b*x+a)*sinh(b*x+a)-1/2*b*x-1/2*a)","A"
3,1,23,25,0.017000," ","int(sinh(b*x+a)^3,x)","\frac{\left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(b x +a \right)\right)}{3}\right) \cosh \left(b x +a \right)}{b}"," ",0,"1/b*(-2/3+1/3*sinh(b*x+a)^2)*cosh(b*x+a)","A"
4,1,39,40,0.118000," ","int(sinh(b*x+a)^4,x)","\frac{\left(\frac{\left(\sinh^{3}\left(b x +a \right)\right)}{4}-\frac{3 \sinh \left(b x +a \right)}{8}\right) \cosh \left(b x +a \right)+\frac{3 b x}{8}+\frac{3 a}{8}}{b}"," ",0,"1/b*((1/4*sinh(b*x+a)^3-3/8*sinh(b*x+a))*cosh(b*x+a)+3/8*b*x+3/8*a)","A"
5,1,33,37,0.117000," ","int(sinh(b*x+a)^5,x)","\frac{\left(\frac{8}{15}+\frac{\left(\sinh^{4}\left(b x +a \right)\right)}{5}-\frac{4 \left(\sinh^{2}\left(b x +a \right)\right)}{15}\right) \cosh \left(b x +a \right)}{b}"," ",0,"1/b*(8/15+1/5*sinh(b*x+a)^4-4/15*sinh(b*x+a)^2)*cosh(b*x+a)","A"
6,1,49,59,0.115000," ","int(sinh(b*x+a)^6,x)","\frac{\left(\frac{\left(\sinh^{5}\left(b x +a \right)\right)}{6}-\frac{5 \left(\sinh^{3}\left(b x +a \right)\right)}{24}+\frac{5 \sinh \left(b x +a \right)}{16}\right) \cosh \left(b x +a \right)-\frac{5 b x}{16}-\frac{5 a}{16}}{b}"," ",0,"1/b*((1/6*sinh(b*x+a)^5-5/24*sinh(b*x+a)^3+5/16*sinh(b*x+a))*cosh(b*x+a)-5/16*b*x-5/16*a)","A"
7,1,116,116,0.090000," ","int(sinh(b*x+a)^(7/2),x)","\frac{\frac{5 i \sqrt{1-i \sinh \left(b x +a \right)}\, \sqrt{2}\, \sqrt{i \sinh \left(b x +a \right)+1}\, \sqrt{i \sinh \left(b x +a \right)}\, \EllipticF \left(\sqrt{1-i \sinh \left(b x +a \right)}, \frac{\sqrt{2}}{2}\right)}{21}+\frac{2 \sinh \left(b x +a \right) \left(\cosh^{4}\left(b x +a \right)\right)}{7}-\frac{16 \left(\cosh^{2}\left(b x +a \right)\right) \sinh \left(b x +a \right)}{21}}{\cosh \left(b x +a \right) \sqrt{\sinh \left(b x +a \right)}\, b}"," ",0,"(5/21*I*(1-I*sinh(b*x+a))^(1/2)*2^(1/2)*(I*sinh(b*x+a)+1)^(1/2)*(I*sinh(b*x+a))^(1/2)*EllipticF((1-I*sinh(b*x+a))^(1/2),1/2*2^(1/2))+2/7*sinh(b*x+a)*cosh(b*x+a)^4-16/21*cosh(b*x+a)^2*sinh(b*x+a))/cosh(b*x+a)/sinh(b*x+a)^(1/2)/b","A"
8,1,164,97,0.069000," ","int(sinh(b*x+a)^(5/2),x)","\frac{-\frac{6 \sqrt{1-i \sinh \left(b x +a \right)}\, \sqrt{2}\, \sqrt{i \sinh \left(b x +a \right)+1}\, \sqrt{i \sinh \left(b x +a \right)}\, \EllipticE \left(\sqrt{1-i \sinh \left(b x +a \right)}, \frac{\sqrt{2}}{2}\right)}{5}+\frac{3 \sqrt{1-i \sinh \left(b x +a \right)}\, \sqrt{2}\, \sqrt{i \sinh \left(b x +a \right)+1}\, \sqrt{i \sinh \left(b x +a \right)}\, \EllipticF \left(\sqrt{1-i \sinh \left(b x +a \right)}, \frac{\sqrt{2}}{2}\right)}{5}+\frac{2 \left(\cosh^{4}\left(b x +a \right)\right)}{5}-\frac{2 \left(\cosh^{2}\left(b x +a \right)\right)}{5}}{\cosh \left(b x +a \right) \sqrt{\sinh \left(b x +a \right)}\, b}"," ",0,"(-6/5*(1-I*sinh(b*x+a))^(1/2)*2^(1/2)*(I*sinh(b*x+a)+1)^(1/2)*(I*sinh(b*x+a))^(1/2)*EllipticE((1-I*sinh(b*x+a))^(1/2),1/2*2^(1/2))+3/5*(1-I*sinh(b*x+a))^(1/2)*2^(1/2)*(I*sinh(b*x+a)+1)^(1/2)*(I*sinh(b*x+a))^(1/2)*EllipticF((1-I*sinh(b*x+a))^(1/2),1/2*2^(1/2))+2/5*cosh(b*x+a)^4-2/5*cosh(b*x+a)^2)/cosh(b*x+a)/sinh(b*x+a)^(1/2)/b","A"
9,1,100,97,0.066000," ","int(sinh(b*x+a)^(3/2),x)","\frac{-\frac{i \sqrt{1-i \sinh \left(b x +a \right)}\, \sqrt{2}\, \sqrt{i \sinh \left(b x +a \right)+1}\, \sqrt{i \sinh \left(b x +a \right)}\, \EllipticF \left(\sqrt{1-i \sinh \left(b x +a \right)}, \frac{\sqrt{2}}{2}\right)}{3}+\frac{2 \left(\cosh^{2}\left(b x +a \right)\right) \sinh \left(b x +a \right)}{3}}{\cosh \left(b x +a \right) \sqrt{\sinh \left(b x +a \right)}\, b}"," ",0,"(-1/3*I*(1-I*sinh(b*x+a))^(1/2)*2^(1/2)*(I*sinh(b*x+a)+1)^(1/2)*(I*sinh(b*x+a))^(1/2)*EllipticF((1-I*sinh(b*x+a))^(1/2),1/2*2^(1/2))+2/3*cosh(b*x+a)^2*sinh(b*x+a))/cosh(b*x+a)/sinh(b*x+a)^(1/2)/b","A"
10,1,108,77,0.056000," ","int(sinh(b*x+a)^(1/2),x)","\frac{\sqrt{-i \left(\sinh \left(b x +a \right)+i\right)}\, \sqrt{2}\, \sqrt{-i \left(-\sinh \left(b x +a \right)+i\right)}\, \sqrt{i \sinh \left(b x +a \right)}\, \left(2 \EllipticE \left(\sqrt{1-i \sinh \left(b x +a \right)}, \frac{\sqrt{2}}{2}\right)-\EllipticF \left(\sqrt{1-i \sinh \left(b x +a \right)}, \frac{\sqrt{2}}{2}\right)\right)}{\cosh \left(b x +a \right) \sqrt{\sinh \left(b x +a \right)}\, b}"," ",0,"(-I*(sinh(b*x+a)+I))^(1/2)*2^(1/2)*(-I*(-sinh(b*x+a)+I))^(1/2)*(I*sinh(b*x+a))^(1/2)*(2*EllipticE((1-I*sinh(b*x+a))^(1/2),1/2*2^(1/2))-EllipticF((1-I*sinh(b*x+a))^(1/2),1/2*2^(1/2)))/cosh(b*x+a)/sinh(b*x+a)^(1/2)/b","A"
11,1,87,77,0.048000," ","int(1/sinh(b*x+a)^(1/2),x)","\frac{i \sqrt{-i \left(\sinh \left(b x +a \right)+i\right)}\, \sqrt{2}\, \sqrt{-i \left(-\sinh \left(b x +a \right)+i\right)}\, \sqrt{i \sinh \left(b x +a \right)}\, \EllipticF \left(\sqrt{-i \left(\sinh \left(b x +a \right)+i\right)}, \frac{\sqrt{2}}{2}\right)}{\cosh \left(b x +a \right) \sqrt{\sinh \left(b x +a \right)}\, b}"," ",0,"I*(-I*(sinh(b*x+a)+I))^(1/2)*2^(1/2)*(-I*(-sinh(b*x+a)+I))^(1/2)*(I*sinh(b*x+a))^(1/2)*EllipticF((-I*(sinh(b*x+a)+I))^(1/2),1/2*2^(1/2))/cosh(b*x+a)/sinh(b*x+a)^(1/2)/b","A"
12,1,154,97,0.062000," ","int(1/sinh(b*x+a)^(3/2),x)","\frac{2 \sqrt{1-i \sinh \left(b x +a \right)}\, \sqrt{2}\, \sqrt{i \sinh \left(b x +a \right)+1}\, \sqrt{i \sinh \left(b x +a \right)}\, \EllipticE \left(\sqrt{1-i \sinh \left(b x +a \right)}, \frac{\sqrt{2}}{2}\right)-\sqrt{1-i \sinh \left(b x +a \right)}\, \sqrt{2}\, \sqrt{i \sinh \left(b x +a \right)+1}\, \sqrt{i \sinh \left(b x +a \right)}\, \EllipticF \left(\sqrt{1-i \sinh \left(b x +a \right)}, \frac{\sqrt{2}}{2}\right)-2 \left(\cosh^{2}\left(b x +a \right)\right)}{\cosh \left(b x +a \right) \sqrt{\sinh \left(b x +a \right)}\, b}"," ",0,"(2*(1-I*sinh(b*x+a))^(1/2)*2^(1/2)*(I*sinh(b*x+a)+1)^(1/2)*(I*sinh(b*x+a))^(1/2)*EllipticE((1-I*sinh(b*x+a))^(1/2),1/2*2^(1/2))-(1-I*sinh(b*x+a))^(1/2)*2^(1/2)*(I*sinh(b*x+a)+1)^(1/2)*(I*sinh(b*x+a))^(1/2)*EllipticF((1-I*sinh(b*x+a))^(1/2),1/2*2^(1/2))-2*cosh(b*x+a)^2)/cosh(b*x+a)/sinh(b*x+a)^(1/2)/b","A"
13,1,101,97,0.065000," ","int(1/sinh(b*x+a)^(5/2),x)","-\frac{i \sqrt{1-i \sinh \left(b x +a \right)}\, \sqrt{2}\, \sqrt{i \sinh \left(b x +a \right)+1}\, \sqrt{i \sinh \left(b x +a \right)}\, \EllipticF \left(\sqrt{1-i \sinh \left(b x +a \right)}, \frac{\sqrt{2}}{2}\right) \sinh \left(b x +a \right)+2 \left(\cosh^{2}\left(b x +a \right)\right)}{3 \sinh \left(b x +a \right)^{\frac{3}{2}} \cosh \left(b x +a \right) b}"," ",0,"-1/3/sinh(b*x+a)^(3/2)*(I*(1-I*sinh(b*x+a))^(1/2)*2^(1/2)*(I*sinh(b*x+a)+1)^(1/2)*(I*sinh(b*x+a))^(1/2)*EllipticF((1-I*sinh(b*x+a))^(1/2),1/2*2^(1/2))*sinh(b*x+a)+2*cosh(b*x+a)^2)/cosh(b*x+a)/b","A"
14,1,192,116,0.068000," ","int(1/sinh(b*x+a)^(7/2),x)","-\frac{6 \sqrt{-i \left(\sinh \left(b x +a \right)+i\right)}\, \sqrt{2}\, \sqrt{-i \left(-\sinh \left(b x +a \right)+i\right)}\, \sqrt{i \sinh \left(b x +a \right)}\, \left(\sinh^{2}\left(b x +a \right)\right) \EllipticE \left(\sqrt{-i \left(\sinh \left(b x +a \right)+i\right)}, \frac{\sqrt{2}}{2}\right)-3 \sqrt{-i \left(\sinh \left(b x +a \right)+i\right)}\, \sqrt{2}\, \sqrt{-i \left(-\sinh \left(b x +a \right)+i\right)}\, \sqrt{i \sinh \left(b x +a \right)}\, \left(\sinh^{2}\left(b x +a \right)\right) \EllipticF \left(\sqrt{-i \left(\sinh \left(b x +a \right)+i\right)}, \frac{\sqrt{2}}{2}\right)-6 \left(\sinh^{4}\left(b x +a \right)\right)-4 \left(\sinh^{2}\left(b x +a \right)\right)+2}{5 \sinh \left(b x +a \right)^{\frac{5}{2}} \cosh \left(b x +a \right) b}"," ",0,"-1/5/sinh(b*x+a)^(5/2)*(6*(-I*(sinh(b*x+a)+I))^(1/2)*2^(1/2)*(-I*(-sinh(b*x+a)+I))^(1/2)*(I*sinh(b*x+a))^(1/2)*sinh(b*x+a)^2*EllipticE((-I*(sinh(b*x+a)+I))^(1/2),1/2*2^(1/2))-3*(-I*(sinh(b*x+a)+I))^(1/2)*2^(1/2)*(-I*(-sinh(b*x+a)+I))^(1/2)*(I*sinh(b*x+a))^(1/2)*sinh(b*x+a)^2*EllipticF((-I*(sinh(b*x+a)+I))^(1/2),1/2*2^(1/2))-6*sinh(b*x+a)^4-4*sinh(b*x+a)^2+2)/cosh(b*x+a)/b","A"
15,1,122,129,0.069000," ","int((b*sinh(d*x+c))^(7/2),x)","\frac{b^{4} \left(5 i \sqrt{1-i \sinh \left(d x +c \right)}\, \sqrt{2}\, \sqrt{1+i \sinh \left(d x +c \right)}\, \sqrt{i \sinh \left(d x +c \right)}\, \EllipticF \left(\sqrt{1-i \sinh \left(d x +c \right)}, \frac{\sqrt{2}}{2}\right)+6 \sinh \left(d x +c \right) \left(\cosh^{4}\left(d x +c \right)\right)-16 \left(\cosh^{2}\left(d x +c \right)\right) \sinh \left(d x +c \right)\right)}{21 \cosh \left(d x +c \right) \sqrt{b \sinh \left(d x +c \right)}\, d}"," ",0,"1/21*b^4*(5*I*(1-I*sinh(d*x+c))^(1/2)*2^(1/2)*(1+I*sinh(d*x+c))^(1/2)*(I*sinh(d*x+c))^(1/2)*EllipticF((1-I*sinh(d*x+c))^(1/2),1/2*2^(1/2))+6*sinh(d*x+c)*cosh(d*x+c)^4-16*cosh(d*x+c)^2*sinh(d*x+c))/cosh(d*x+c)/(b*sinh(d*x+c))^(1/2)/d","A"
16,1,170,105,0.062000," ","int((b*sinh(d*x+c))^(5/2),x)","-\frac{b^{3} \left(6 \sqrt{1-i \sinh \left(d x +c \right)}\, \sqrt{2}\, \sqrt{1+i \sinh \left(d x +c \right)}\, \sqrt{i \sinh \left(d x +c \right)}\, \EllipticE \left(\sqrt{1-i \sinh \left(d x +c \right)}, \frac{\sqrt{2}}{2}\right)-3 \sqrt{1-i \sinh \left(d x +c \right)}\, \sqrt{2}\, \sqrt{1+i \sinh \left(d x +c \right)}\, \sqrt{i \sinh \left(d x +c \right)}\, \EllipticF \left(\sqrt{1-i \sinh \left(d x +c \right)}, \frac{\sqrt{2}}{2}\right)-2 \left(\cosh^{4}\left(d x +c \right)\right)+2 \left(\cosh^{2}\left(d x +c \right)\right)\right)}{5 \cosh \left(d x +c \right) \sqrt{b \sinh \left(d x +c \right)}\, d}"," ",0,"-1/5*b^3*(6*(1-I*sinh(d*x+c))^(1/2)*2^(1/2)*(1+I*sinh(d*x+c))^(1/2)*(I*sinh(d*x+c))^(1/2)*EllipticE((1-I*sinh(d*x+c))^(1/2),1/2*2^(1/2))-3*(1-I*sinh(d*x+c))^(1/2)*2^(1/2)*(1+I*sinh(d*x+c))^(1/2)*(I*sinh(d*x+c))^(1/2)*EllipticF((1-I*sinh(d*x+c))^(1/2),1/2*2^(1/2))-2*cosh(d*x+c)^4+2*cosh(d*x+c)^2)/cosh(d*x+c)/(b*sinh(d*x+c))^(1/2)/d","A"
17,1,106,105,0.066000," ","int((b*sinh(d*x+c))^(3/2),x)","-\frac{b^{2} \left(i \sqrt{1-i \sinh \left(d x +c \right)}\, \sqrt{2}\, \sqrt{1+i \sinh \left(d x +c \right)}\, \sqrt{i \sinh \left(d x +c \right)}\, \EllipticF \left(\sqrt{1-i \sinh \left(d x +c \right)}, \frac{\sqrt{2}}{2}\right)-2 \left(\cosh^{2}\left(d x +c \right)\right) \sinh \left(d x +c \right)\right)}{3 \cosh \left(d x +c \right) \sqrt{b \sinh \left(d x +c \right)}\, d}"," ",0,"-1/3*b^2*(I*(1-I*sinh(d*x+c))^(1/2)*2^(1/2)*(1+I*sinh(d*x+c))^(1/2)*(I*sinh(d*x+c))^(1/2)*EllipticF((1-I*sinh(d*x+c))^(1/2),1/2*2^(1/2))-2*cosh(d*x+c)^2*sinh(d*x+c))/cosh(d*x+c)/(b*sinh(d*x+c))^(1/2)/d","A"
18,1,111,79,0.060000," ","int((b*sinh(d*x+c))^(1/2),x)","\frac{b \sqrt{-i \left(\sinh \left(d x +c \right)+i\right)}\, \sqrt{2}\, \sqrt{-i \left(-\sinh \left(d x +c \right)+i\right)}\, \sqrt{i \sinh \left(d x +c \right)}\, \left(2 \EllipticE \left(\sqrt{1-i \sinh \left(d x +c \right)}, \frac{\sqrt{2}}{2}\right)-\EllipticF \left(\sqrt{1-i \sinh \left(d x +c \right)}, \frac{\sqrt{2}}{2}\right)\right)}{\cosh \left(d x +c \right) \sqrt{b \sinh \left(d x +c \right)}\, d}"," ",0,"b*(-I*(sinh(d*x+c)+I))^(1/2)*2^(1/2)*(-I*(-sinh(d*x+c)+I))^(1/2)*(I*sinh(d*x+c))^(1/2)*(2*EllipticE((1-I*sinh(d*x+c))^(1/2),1/2*2^(1/2))-EllipticF((1-I*sinh(d*x+c))^(1/2),1/2*2^(1/2)))/cosh(d*x+c)/(b*sinh(d*x+c))^(1/2)/d","A"
19,1,89,79,0.053000," ","int(1/(b*sinh(d*x+c))^(1/2),x)","\frac{i \sqrt{-i \left(\sinh \left(d x +c \right)+i\right)}\, \sqrt{2}\, \sqrt{-i \left(-\sinh \left(d x +c \right)+i\right)}\, \sqrt{i \sinh \left(d x +c \right)}\, \EllipticF \left(\sqrt{-i \left(\sinh \left(d x +c \right)+i\right)}, \frac{\sqrt{2}}{2}\right)}{\cosh \left(d x +c \right) \sqrt{b \sinh \left(d x +c \right)}\, d}"," ",0,"I*(-I*(sinh(d*x+c)+I))^(1/2)*2^(1/2)*(-I*(-sinh(d*x+c)+I))^(1/2)*(I*sinh(d*x+c))^(1/2)*EllipticF((-I*(sinh(d*x+c)+I))^(1/2),1/2*2^(1/2))/cosh(d*x+c)/(b*sinh(d*x+c))^(1/2)/d","A"
20,1,159,107,0.069000," ","int(1/(b*sinh(d*x+c))^(3/2),x)","\frac{2 \sqrt{1-i \sinh \left(d x +c \right)}\, \sqrt{2}\, \sqrt{1+i \sinh \left(d x +c \right)}\, \sqrt{i \sinh \left(d x +c \right)}\, \EllipticE \left(\sqrt{1-i \sinh \left(d x +c \right)}, \frac{\sqrt{2}}{2}\right)-\sqrt{1-i \sinh \left(d x +c \right)}\, \sqrt{2}\, \sqrt{1+i \sinh \left(d x +c \right)}\, \sqrt{i \sinh \left(d x +c \right)}\, \EllipticF \left(\sqrt{1-i \sinh \left(d x +c \right)}, \frac{\sqrt{2}}{2}\right)-2 \left(\cosh^{2}\left(d x +c \right)\right)}{b \cosh \left(d x +c \right) \sqrt{b \sinh \left(d x +c \right)}\, d}"," ",0,"(2*(1-I*sinh(d*x+c))^(1/2)*2^(1/2)*(1+I*sinh(d*x+c))^(1/2)*(I*sinh(d*x+c))^(1/2)*EllipticE((1-I*sinh(d*x+c))^(1/2),1/2*2^(1/2))-(1-I*sinh(d*x+c))^(1/2)*2^(1/2)*(1+I*sinh(d*x+c))^(1/2)*(I*sinh(d*x+c))^(1/2)*EllipticF((1-I*sinh(d*x+c))^(1/2),1/2*2^(1/2))-2*cosh(d*x+c)^2)/b/cosh(d*x+c)/(b*sinh(d*x+c))^(1/2)/d","A"
21,1,114,107,0.066000," ","int(1/(b*sinh(d*x+c))^(5/2),x)","-\frac{i \sqrt{1-i \sinh \left(d x +c \right)}\, \sqrt{2}\, \sqrt{1+i \sinh \left(d x +c \right)}\, \sqrt{i \sinh \left(d x +c \right)}\, \EllipticF \left(\sqrt{1-i \sinh \left(d x +c \right)}, \frac{\sqrt{2}}{2}\right) \sinh \left(d x +c \right)+2 \left(\cosh^{2}\left(d x +c \right)\right)}{3 b^{2} \sinh \left(d x +c \right) \cosh \left(d x +c \right) \sqrt{b \sinh \left(d x +c \right)}\, d}"," ",0,"-1/3/b^2/sinh(d*x+c)*(I*(1-I*sinh(d*x+c))^(1/2)*2^(1/2)*(1+I*sinh(d*x+c))^(1/2)*(I*sinh(d*x+c))^(1/2)*EllipticF((1-I*sinh(d*x+c))^(1/2),1/2*2^(1/2))*sinh(d*x+c)+2*cosh(d*x+c)^2)/cosh(d*x+c)/(b*sinh(d*x+c))^(1/2)/d","A"
22,1,205,131,0.073000," ","int(1/(b*sinh(d*x+c))^(7/2),x)","-\frac{6 \sqrt{-i \left(\sinh \left(d x +c \right)+i\right)}\, \sqrt{2}\, \sqrt{-i \left(-\sinh \left(d x +c \right)+i\right)}\, \sqrt{i \sinh \left(d x +c \right)}\, \left(\sinh^{2}\left(d x +c \right)\right) \EllipticE \left(\sqrt{-i \left(\sinh \left(d x +c \right)+i\right)}, \frac{\sqrt{2}}{2}\right)-3 \sqrt{-i \left(\sinh \left(d x +c \right)+i\right)}\, \sqrt{2}\, \sqrt{-i \left(-\sinh \left(d x +c \right)+i\right)}\, \sqrt{i \sinh \left(d x +c \right)}\, \left(\sinh^{2}\left(d x +c \right)\right) \EllipticF \left(\sqrt{-i \left(\sinh \left(d x +c \right)+i\right)}, \frac{\sqrt{2}}{2}\right)-6 \left(\sinh^{4}\left(d x +c \right)\right)-4 \left(\sinh^{2}\left(d x +c \right)\right)+2}{5 b^{3} \sinh \left(d x +c \right)^{2} \cosh \left(d x +c \right) \sqrt{b \sinh \left(d x +c \right)}\, d}"," ",0,"-1/5/b^3/sinh(d*x+c)^2*(6*(-I*(sinh(d*x+c)+I))^(1/2)*2^(1/2)*(-I*(-sinh(d*x+c)+I))^(1/2)*(I*sinh(d*x+c))^(1/2)*sinh(d*x+c)^2*EllipticE((-I*(sinh(d*x+c)+I))^(1/2),1/2*2^(1/2))-3*(-I*(sinh(d*x+c)+I))^(1/2)*2^(1/2)*(-I*(-sinh(d*x+c)+I))^(1/2)*(I*sinh(d*x+c))^(1/2)*sinh(d*x+c)^2*EllipticF((-I*(sinh(d*x+c)+I))^(1/2),1/2*2^(1/2))-6*sinh(d*x+c)^4-4*sinh(d*x+c)^2+2)/cosh(d*x+c)/(b*sinh(d*x+c))^(1/2)/d","A"
23,1,122,105,0.073000," ","int((I*sinh(d*x+c))^(7/2),x)","-\frac{i \left(6 i \sinh \left(d x +c \right) \left(\cosh^{4}\left(d x +c \right)\right)-5 \sqrt{1-i \sinh \left(d x +c \right)}\, \sqrt{2}\, \sqrt{1+i \sinh \left(d x +c \right)}\, \sqrt{i \sinh \left(d x +c \right)}\, \EllipticF \left(\sqrt{1-i \sinh \left(d x +c \right)}, \frac{\sqrt{2}}{2}\right)-16 i \sinh \left(d x +c \right) \left(\cosh^{2}\left(d x +c \right)\right)\right)}{21 \cosh \left(d x +c \right) \sqrt{i \sinh \left(d x +c \right)}\, d}"," ",0,"-1/21*I*(6*I*sinh(d*x+c)*cosh(d*x+c)^4-5*(1-I*sinh(d*x+c))^(1/2)*2^(1/2)*(1+I*sinh(d*x+c))^(1/2)*(I*sinh(d*x+c))^(1/2)*EllipticF((1-I*sinh(d*x+c))^(1/2),1/2*2^(1/2))-16*I*sinh(d*x+c)*cosh(d*x+c)^2)/cosh(d*x+c)/(I*sinh(d*x+c))^(1/2)/d","A"
24,1,169,82,0.068000," ","int((I*sinh(d*x+c))^(5/2),x)","\frac{i \left(6 \sqrt{1-i \sinh \left(d x +c \right)}\, \sqrt{2}\, \sqrt{1+i \sinh \left(d x +c \right)}\, \sqrt{i \sinh \left(d x +c \right)}\, \EllipticE \left(\sqrt{1-i \sinh \left(d x +c \right)}, \frac{\sqrt{2}}{2}\right)-3 \sqrt{1-i \sinh \left(d x +c \right)}\, \sqrt{2}\, \sqrt{1+i \sinh \left(d x +c \right)}\, \sqrt{i \sinh \left(d x +c \right)}\, \EllipticF \left(\sqrt{1-i \sinh \left(d x +c \right)}, \frac{\sqrt{2}}{2}\right)-2 \left(\cosh^{4}\left(d x +c \right)\right)+2 \left(\cosh^{2}\left(d x +c \right)\right)\right)}{5 \cosh \left(d x +c \right) \sqrt{i \sinh \left(d x +c \right)}\, d}"," ",0,"1/5*I*(6*(1-I*sinh(d*x+c))^(1/2)*2^(1/2)*(1+I*sinh(d*x+c))^(1/2)*(I*sinh(d*x+c))^(1/2)*EllipticE((1-I*sinh(d*x+c))^(1/2),1/2*2^(1/2))-3*(1-I*sinh(d*x+c))^(1/2)*2^(1/2)*(1+I*sinh(d*x+c))^(1/2)*(I*sinh(d*x+c))^(1/2)*EllipticF((1-I*sinh(d*x+c))^(1/2),1/2*2^(1/2))-2*cosh(d*x+c)^4+2*cosh(d*x+c)^2)/cosh(d*x+c)/(I*sinh(d*x+c))^(1/2)/d","B"
25,1,104,82,0.067000," ","int((I*sinh(d*x+c))^(3/2),x)","\frac{i \left(\sqrt{1-i \sinh \left(d x +c \right)}\, \sqrt{2}\, \sqrt{1+i \sinh \left(d x +c \right)}\, \sqrt{i \sinh \left(d x +c \right)}\, \EllipticF \left(\sqrt{1-i \sinh \left(d x +c \right)}, \frac{\sqrt{2}}{2}\right)+2 i \sinh \left(d x +c \right) \left(\cosh^{2}\left(d x +c \right)\right)\right)}{3 \cosh \left(d x +c \right) \sqrt{i \sinh \left(d x +c \right)}\, d}"," ",0,"1/3*I*((1-I*sinh(d*x+c))^(1/2)*2^(1/2)*(1+I*sinh(d*x+c))^(1/2)*(I*sinh(d*x+c))^(1/2)*EllipticF((1-I*sinh(d*x+c))^(1/2),1/2*2^(1/2))+2*I*sinh(d*x+c)*cosh(d*x+c)^2)/cosh(d*x+c)/(I*sinh(d*x+c))^(1/2)/d","A"
26,1,91,58,0.067000," ","int((I*sinh(d*x+c))^(1/2),x)","\frac{i \sqrt{-i \left(\sinh \left(d x +c \right)+i\right)}\, \sqrt{2}\, \sqrt{-i \left(-\sinh \left(d x +c \right)+i\right)}\, \left(2 \EllipticE \left(\sqrt{1-i \sinh \left(d x +c \right)}, \frac{\sqrt{2}}{2}\right)-\EllipticF \left(\sqrt{1-i \sinh \left(d x +c \right)}, \frac{\sqrt{2}}{2}\right)\right)}{\cosh \left(d x +c \right) d}"," ",0,"I*(-I*(sinh(d*x+c)+I))^(1/2)*2^(1/2)*(-I*(-sinh(d*x+c)+I))^(1/2)*(2*EllipticE((1-I*sinh(d*x+c))^(1/2),1/2*2^(1/2))-EllipticF((1-I*sinh(d*x+c))^(1/2),1/2*2^(1/2)))/cosh(d*x+c)/d","A"
27,1,68,58,0.055000," ","int(1/(I*sinh(d*x+c))^(1/2),x)","\frac{i \sqrt{-i \left(\sinh \left(d x +c \right)+i\right)}\, \sqrt{2}\, \sqrt{-i \left(-\sinh \left(d x +c \right)+i\right)}\, \EllipticF \left(\sqrt{-i \left(\sinh \left(d x +c \right)+i\right)}, \frac{\sqrt{2}}{2}\right)}{\cosh \left(d x +c \right) d}"," ",0,"I*(-I*(sinh(d*x+c)+I))^(1/2)*2^(1/2)*(-I*(-sinh(d*x+c)+I))^(1/2)*EllipticF((-I*(sinh(d*x+c)+I))^(1/2),1/2*2^(1/2))/cosh(d*x+c)/d","A"
28,1,159,82,0.080000," ","int(1/(I*sinh(d*x+c))^(3/2),x)","-\frac{i \left(2 \sqrt{1-i \sinh \left(d x +c \right)}\, \sqrt{2}\, \sqrt{1+i \sinh \left(d x +c \right)}\, \sqrt{i \sinh \left(d x +c \right)}\, \EllipticE \left(\sqrt{1-i \sinh \left(d x +c \right)}, \frac{\sqrt{2}}{2}\right)-\sqrt{1-i \sinh \left(d x +c \right)}\, \sqrt{2}\, \sqrt{1+i \sinh \left(d x +c \right)}\, \sqrt{i \sinh \left(d x +c \right)}\, \EllipticF \left(\sqrt{1-i \sinh \left(d x +c \right)}, \frac{\sqrt{2}}{2}\right)-2 \left(\cosh^{2}\left(d x +c \right)\right)\right)}{\cosh \left(d x +c \right) \sqrt{i \sinh \left(d x +c \right)}\, d}"," ",0,"-I*(2*(1-I*sinh(d*x+c))^(1/2)*2^(1/2)*(1+I*sinh(d*x+c))^(1/2)*(I*sinh(d*x+c))^(1/2)*EllipticE((1-I*sinh(d*x+c))^(1/2),1/2*2^(1/2))-(1-I*sinh(d*x+c))^(1/2)*2^(1/2)*(1+I*sinh(d*x+c))^(1/2)*(I*sinh(d*x+c))^(1/2)*EllipticF((1-I*sinh(d*x+c))^(1/2),1/2*2^(1/2))-2*cosh(d*x+c)^2)/cosh(d*x+c)/(I*sinh(d*x+c))^(1/2)/d","A"
29,1,113,82,0.070000," ","int(1/(I*sinh(d*x+c))^(5/2),x)","-\frac{i \left(-\sqrt{1-i \sinh \left(d x +c \right)}\, \sqrt{2}\, \sqrt{1+i \sinh \left(d x +c \right)}\, \sqrt{i \sinh \left(d x +c \right)}\, \EllipticF \left(\sqrt{1-i \sinh \left(d x +c \right)}, \frac{\sqrt{2}}{2}\right) \sinh \left(d x +c \right)+2 i \left(\cosh^{2}\left(d x +c \right)\right)\right)}{3 \sinh \left(d x +c \right) \cosh \left(d x +c \right) \sqrt{i \sinh \left(d x +c \right)}\, d}"," ",0,"-1/3*I/sinh(d*x+c)*(-(1-I*sinh(d*x+c))^(1/2)*2^(1/2)*(1+I*sinh(d*x+c))^(1/2)*(I*sinh(d*x+c))^(1/2)*EllipticF((1-I*sinh(d*x+c))^(1/2),1/2*2^(1/2))*sinh(d*x+c)+2*I*cosh(d*x+c)^2)/cosh(d*x+c)/(I*sinh(d*x+c))^(1/2)/d","A"
30,1,204,105,0.076000," ","int(1/(I*sinh(d*x+c))^(7/2),x)","-\frac{i \left(6 \sqrt{-i \left(\sinh \left(d x +c \right)+i\right)}\, \sqrt{2}\, \sqrt{-i \left(-\sinh \left(d x +c \right)+i\right)}\, \sqrt{i \sinh \left(d x +c \right)}\, \left(\sinh^{2}\left(d x +c \right)\right) \EllipticE \left(\sqrt{-i \left(\sinh \left(d x +c \right)+i\right)}, \frac{\sqrt{2}}{2}\right)-3 \sqrt{-i \left(\sinh \left(d x +c \right)+i\right)}\, \sqrt{2}\, \sqrt{-i \left(-\sinh \left(d x +c \right)+i\right)}\, \sqrt{i \sinh \left(d x +c \right)}\, \left(\sinh^{2}\left(d x +c \right)\right) \EllipticF \left(\sqrt{-i \left(\sinh \left(d x +c \right)+i\right)}, \frac{\sqrt{2}}{2}\right)-6 \left(\sinh^{4}\left(d x +c \right)\right)-4 \left(\sinh^{2}\left(d x +c \right)\right)+2\right)}{5 \sinh \left(d x +c \right)^{2} \cosh \left(d x +c \right) \sqrt{i \sinh \left(d x +c \right)}\, d}"," ",0,"-1/5*I/sinh(d*x+c)^2*(6*(-I*(sinh(d*x+c)+I))^(1/2)*2^(1/2)*(-I*(-sinh(d*x+c)+I))^(1/2)*(I*sinh(d*x+c))^(1/2)*sinh(d*x+c)^2*EllipticE((-I*(sinh(d*x+c)+I))^(1/2),1/2*2^(1/2))-3*(-I*(sinh(d*x+c)+I))^(1/2)*2^(1/2)*(-I*(-sinh(d*x+c)+I))^(1/2)*(I*sinh(d*x+c))^(1/2)*sinh(d*x+c)^2*EllipticF((-I*(sinh(d*x+c)+I))^(1/2),1/2*2^(1/2))-6*sinh(d*x+c)^4-4*sinh(d*x+c)^2+2)/cosh(d*x+c)/(I*sinh(d*x+c))^(1/2)/d","A"
31,0,0,50,0.043000," ","int((b*sinh(d*x+c))^(4/3),x)","\int \left(b \sinh \left(d x +c \right)\right)^{\frac{4}{3}}\, dx"," ",0,"int((b*sinh(d*x+c))^(4/3),x)","F"
32,0,0,50,0.106000," ","int((b*sinh(d*x+c))^(2/3),x)","\int \left(b \sinh \left(d x +c \right)\right)^{\frac{2}{3}}\, dx"," ",0,"int((b*sinh(d*x+c))^(2/3),x)","F"
33,0,0,50,0.079000," ","int((b*sinh(d*x+c))^(1/3),x)","\int \left(b \sinh \left(d x +c \right)\right)^{\frac{1}{3}}\, dx"," ",0,"int((b*sinh(d*x+c))^(1/3),x)","F"
34,0,0,50,0.066000," ","int(1/(b*sinh(d*x+c))^(1/3),x)","\int \frac{1}{\left(b \sinh \left(d x +c \right)\right)^{\frac{1}{3}}}\, dx"," ",0,"int(1/(b*sinh(d*x+c))^(1/3),x)","F"
35,0,0,50,0.056000," ","int(1/(b*sinh(d*x+c))^(2/3),x)","\int \frac{1}{\left(b \sinh \left(d x +c \right)\right)^{\frac{2}{3}}}\, dx"," ",0,"int(1/(b*sinh(d*x+c))^(2/3),x)","F"
36,0,0,50,0.040000," ","int(1/(b*sinh(d*x+c))^(4/3),x)","\int \frac{1}{\left(b \sinh \left(d x +c \right)\right)^{\frac{4}{3}}}\, dx"," ",0,"int(1/(b*sinh(d*x+c))^(4/3),x)","F"
37,0,0,64,0.237000," ","int((b*sinh(d*x+c))^n,x)","\int \left(b \sinh \left(d x +c \right)\right)^{n}\, dx"," ",0,"int((b*sinh(d*x+c))^n,x)","F"
38,0,0,64,0.194000," ","int((I*sinh(d*x+c))^n,x)","\int \left(i \sinh \left(d x +c \right)\right)^{n}\, dx"," ",0,"int((I*sinh(d*x+c))^n,x)","F"
39,0,0,64,0.186000," ","int((-I*sinh(d*x+c))^n,x)","\int \left(-i \sinh \left(d x +c \right)\right)^{n}\, dx"," ",0,"int((-I*sinh(d*x+c))^n,x)","F"
40,1,138,37,0.060000," ","int(sinh(x)^4/(I+sinh(x)),x)","-\frac{3 i \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2}+\frac{3}{2 \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{i}{2 \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{1}{2 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{i}{2 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{1}{3 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}+\frac{3 i \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2}-\frac{1}{2 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{i}{2 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{3}{2 \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{i}{2 \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{1}{3 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}-\frac{2 i}{\tanh \left(\frac{x}{2}\right)+i}"," ",0,"-3/2*I*ln(tanh(1/2*x)-1)+3/2/(tanh(1/2*x)-1)-1/2*I/(tanh(1/2*x)-1)-1/2/(tanh(1/2*x)-1)^2-1/2*I/(tanh(1/2*x)-1)^2-1/3/(tanh(1/2*x)-1)^3+3/2*I*ln(tanh(1/2*x)+1)-1/2/(tanh(1/2*x)+1)^2+1/2*I/(tanh(1/2*x)+1)^2-3/2/(tanh(1/2*x)+1)-1/2*I/(tanh(1/2*x)+1)+1/3/(tanh(1/2*x)+1)^3-2*I/(tanh(1/2*x)+I)","B"
41,1,93,30,0.054000," ","int(sinh(x)^3/(I+sinh(x)),x)","\frac{1}{2 \tanh \left(\frac{x}{2}\right)-2}+\frac{i}{\tanh \left(\frac{x}{2}\right)-1}+\frac{1}{2 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2}+\frac{1}{2 \tanh \left(\frac{x}{2}\right)+2}-\frac{i}{\tanh \left(\frac{x}{2}\right)+1}-\frac{1}{2 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2}+\frac{2}{\tanh \left(\frac{x}{2}\right)+i}"," ",0,"1/2/(tanh(1/2*x)-1)+I/(tanh(1/2*x)-1)+1/2/(tanh(1/2*x)-1)^2+3/2*ln(tanh(1/2*x)-1)+1/2/(tanh(1/2*x)+1)-I/(tanh(1/2*x)+1)-1/2/(tanh(1/2*x)+1)^2-3/2*ln(tanh(1/2*x)+1)+2/(tanh(1/2*x)+I)","B"
42,1,52,19,0.049000," ","int(sinh(x)^2/(I+sinh(x)),x)","i \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)-\frac{1}{\tanh \left(\frac{x}{2}\right)-1}-i \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)+\frac{1}{\tanh \left(\frac{x}{2}\right)+1}+\frac{2 i}{\tanh \left(\frac{x}{2}\right)+i}"," ",0,"I*ln(tanh(1/2*x)-1)-1/(tanh(1/2*x)-1)-I*ln(tanh(1/2*x)+1)+1/(tanh(1/2*x)+1)+2*I/(tanh(1/2*x)+I)","B"
43,1,29,13,0.039000," ","int(sinh(x)/(I+sinh(x)),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)+i}"," ",0,"-ln(tanh(1/2*x)-1)+ln(tanh(1/2*x)+1)-2/(tanh(1/2*x)+I)","B"
44,1,21,17,0.044000," ","int(csch(x)/(I+sinh(x)),x)","-i \ln \left(\tanh \left(\frac{x}{2}\right)\right)+\frac{2}{\tanh \left(\frac{x}{2}\right)+i}"," ",0,"-I*ln(tanh(1/2*x))+2/(tanh(1/2*x)+I)","A"
45,1,35,21,0.046000," ","int(csch(x)^2/(I+sinh(x)),x)","\frac{i \tanh \left(\frac{x}{2}\right)}{2}+\frac{2 i}{\tanh \left(\frac{x}{2}\right)+i}+\frac{i}{2 \tanh \left(\frac{x}{2}\right)}+\ln \left(\tanh \left(\frac{x}{2}\right)\right)"," ",0,"1/2*I*tanh(1/2*x)+2*I/(tanh(1/2*x)+I)+1/2*I/tanh(1/2*x)+ln(tanh(1/2*x))","A"
46,1,53,30,0.053000," ","int(csch(x)^3/(I+sinh(x)),x)","-\frac{\tanh \left(\frac{x}{2}\right)}{2}-\frac{i \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{8}-\frac{2}{\tanh \left(\frac{x}{2}\right)+i}+\frac{i}{8 \tanh \left(\frac{x}{2}\right)^{2}}+\frac{3 i \ln \left(\tanh \left(\frac{x}{2}\right)\right)}{2}-\frac{1}{2 \tanh \left(\frac{x}{2}\right)}"," ",0,"-1/2*tanh(1/2*x)-1/8*I*tanh(1/2*x)^2-2/(tanh(1/2*x)+I)+1/8*I/tanh(1/2*x)^2+3/2*I*ln(tanh(1/2*x))-1/2/tanh(1/2*x)","A"
47,1,71,38,0.053000," ","int(csch(x)^4/(I+sinh(x)),x)","-\frac{7 i \tanh \left(\frac{x}{2}\right)}{8}+\frac{i \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{24}+\frac{\left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{8}-\frac{2 i}{\tanh \left(\frac{x}{2}\right)+i}+\frac{i}{24 \tanh \left(\frac{x}{2}\right)^{3}}-\frac{7 i}{8 \tanh \left(\frac{x}{2}\right)}-\frac{1}{8 \tanh \left(\frac{x}{2}\right)^{2}}-\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)\right)}{2}"," ",0,"-7/8*I*tanh(1/2*x)+1/24*I*tanh(1/2*x)^3+1/8*tanh(1/2*x)^2-2*I/(tanh(1/2*x)+I)+1/24*I/tanh(1/2*x)^3-7/8*I/tanh(1/2*x)-1/8/tanh(1/2*x)^2-3/2*ln(tanh(1/2*x))","A"
48,1,116,45,0.071000," ","int(sinh(x)^4/(I+sinh(x))^2,x)","\frac{1}{2 \tanh \left(\frac{x}{2}\right)-2}+\frac{2 i}{\tanh \left(\frac{x}{2}\right)-1}+\frac{1}{2 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{7 \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2}+\frac{1}{2 \tanh \left(\frac{x}{2}\right)+2}-\frac{2 i}{\tanh \left(\frac{x}{2}\right)+1}-\frac{1}{2 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{7 \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2}+\frac{2 i}{\left(\tanh \left(\frac{x}{2}\right)+i\right)^{2}}+\frac{4}{3 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{3}}+\frac{6}{\tanh \left(\frac{x}{2}\right)+i}"," ",0,"1/2/(tanh(1/2*x)-1)+2*I/(tanh(1/2*x)-1)+1/2/(tanh(1/2*x)-1)^2+7/2*ln(tanh(1/2*x)-1)+1/2/(tanh(1/2*x)+1)-2*I/(tanh(1/2*x)+1)-1/2/(tanh(1/2*x)+1)^2-7/2*ln(tanh(1/2*x)+1)+2*I/(tanh(1/2*x)+I)^2+4/3/(tanh(1/2*x)+I)^3+6/(tanh(1/2*x)+I)","B"
49,1,75,36,0.069000," ","int(sinh(x)^3/(I+sinh(x))^2,x)","2 i \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)-\frac{1}{\tanh \left(\frac{x}{2}\right)-1}-2 i \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)+\frac{1}{\tanh \left(\frac{x}{2}\right)+1}+\frac{4 i}{3 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{3}}+\frac{4 i}{\tanh \left(\frac{x}{2}\right)+i}-\frac{2}{\left(\tanh \left(\frac{x}{2}\right)+i\right)^{2}}"," ",0,"2*I*ln(tanh(1/2*x)-1)-1/(tanh(1/2*x)-1)-2*I*ln(tanh(1/2*x)+1)+1/(tanh(1/2*x)+1)+4/3*I/(tanh(1/2*x)+I)^3+4*I/(tanh(1/2*x)+I)-2/(tanh(1/2*x)+I)^2","B"
50,1,52,25,0.062000," ","int(sinh(x)^2/(I+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{2 i}{\left(\tanh \left(\frac{x}{2}\right)+i\right)^{2}}-\frac{4}{3 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{3}}-\frac{2}{\tanh \left(\frac{x}{2}\right)+i}"," ",0,"-ln(tanh(1/2*x)-1)+ln(tanh(1/2*x)+1)-2*I/(tanh(1/2*x)+I)^2-4/3/(tanh(1/2*x)+I)^3-2/(tanh(1/2*x)+I)","B"
51,1,25,24,0.048000," ","int(sinh(x)/(I+sinh(x))^2,x)","\frac{2}{\left(\tanh \left(\frac{x}{2}\right)+i\right)^{2}}-\frac{4 i}{3 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{3}}"," ",0,"2/(tanh(1/2*x)+I)^2-4/3*I/(tanh(1/2*x)+I)^3","A"
52,1,44,27,0.065000," ","int(csch(x)/(I+sinh(x))^2,x)","\frac{4 i}{3 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{3}}-\frac{4 i}{\tanh \left(\frac{x}{2}\right)+i}-\frac{2}{\left(\tanh \left(\frac{x}{2}\right)+i\right)^{2}}-\ln \left(\tanh \left(\frac{x}{2}\right)\right)"," ",0,"4/3*I/(tanh(1/2*x)+I)^3-4*I/(tanh(1/2*x)+I)-2/(tanh(1/2*x)+I)^2-ln(tanh(1/2*x))","A"
53,1,58,34,0.069000," ","int(csch(x)^2/(I+sinh(x))^2,x)","\frac{\tanh \left(\frac{x}{2}\right)}{2}-\frac{2 i}{\left(\tanh \left(\frac{x}{2}\right)+i\right)^{2}}-\frac{4}{3 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{3}}+\frac{6}{\tanh \left(\frac{x}{2}\right)+i}-2 i \ln \left(\tanh \left(\frac{x}{2}\right)\right)+\frac{1}{2 \tanh \left(\frac{x}{2}\right)}"," ",0,"1/2*tanh(1/2*x)-2*I/(tanh(1/2*x)+I)^2-4/3/(tanh(1/2*x)+I)^3+6/(tanh(1/2*x)+I)-2*I*ln(tanh(1/2*x))+1/2/tanh(1/2*x)","A"
54,1,76,44,0.076000," ","int(csch(x)^3/(I+sinh(x))^2,x)","i \tanh \left(\frac{x}{2}\right)-\frac{\left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{8}+\frac{8 i}{\tanh \left(\frac{x}{2}\right)+i}-\frac{4 i}{3 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{3}}+\frac{2}{\left(\tanh \left(\frac{x}{2}\right)+i\right)^{2}}+\frac{i}{\tanh \left(\frac{x}{2}\right)}+\frac{1}{8 \tanh \left(\frac{x}{2}\right)^{2}}+\frac{7 \ln \left(\tanh \left(\frac{x}{2}\right)\right)}{2}"," ",0,"I*tanh(1/2*x)-1/8*tanh(1/2*x)^2+8*I/(tanh(1/2*x)+I)-4/3*I/(tanh(1/2*x)+I)^3+2/(tanh(1/2*x)+I)^2+I/tanh(1/2*x)+1/8/tanh(1/2*x)^2+7/2*ln(tanh(1/2*x))","A"
55,1,92,55,0.082000," ","int(csch(x)^4/(I+sinh(x))^2,x)","-\frac{15 \tanh \left(\frac{x}{2}\right)}{8}+\frac{\left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{24}-\frac{i \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{4}+\frac{2 i}{\left(\tanh \left(\frac{x}{2}\right)+i\right)^{2}}+\frac{4}{3 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{3}}-\frac{10}{\tanh \left(\frac{x}{2}\right)+i}+\frac{i}{4 \tanh \left(\frac{x}{2}\right)^{2}}+5 i \ln \left(\tanh \left(\frac{x}{2}\right)\right)+\frac{1}{24 \tanh \left(\frac{x}{2}\right)^{3}}-\frac{15}{8 \tanh \left(\frac{x}{2}\right)}"," ",0,"-15/8*tanh(1/2*x)+1/24*tanh(1/2*x)^3-1/4*I*tanh(1/2*x)^2+2*I/(tanh(1/2*x)+I)^2+4/3/(tanh(1/2*x)+I)^3-10/(tanh(1/2*x)+I)+1/4*I/tanh(1/2*x)^2+5*I*ln(tanh(1/2*x))+1/24/tanh(1/2*x)^3-15/8/tanh(1/2*x)","A"
56,1,20,25,0.037000," ","int(1/(1+I*sinh(d*x+c)),x)","\frac{2}{d \left(-i+\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}"," ",0,"2/d/(-I+tanh(1/2*d*x+1/2*c))","A"
57,1,55,51,0.079000," ","int(1/(1+I*sinh(d*x+c))^2,x)","\frac{\frac{2 i}{\left(-i+\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)^{2}}-\frac{4}{3 \left(-i+\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)^{3}}+\frac{2}{-i+\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}}{d}"," ",0,"1/d*(2*I/(-I+tanh(1/2*d*x+1/2*c))^2-4/3/(-I+tanh(1/2*d*x+1/2*c))^3+2/(-I+tanh(1/2*d*x+1/2*c)))","A"
58,1,88,76,0.091000," ","int(1/(1+I*sinh(d*x+c))^3,x)","\frac{\frac{4 i}{\left(-i+\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)^{2}}-\frac{4 i}{\left(-i+\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)^{4}}-\frac{16}{3 \left(-i+\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)^{3}}+\frac{8}{5 \left(-i+\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)^{5}}+\frac{2}{-i+\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}}{d}"," ",0,"1/d*(4*I/(-I+tanh(1/2*d*x+1/2*c))^2-4*I/(-I+tanh(1/2*d*x+1/2*c))^4-16/3/(-I+tanh(1/2*d*x+1/2*c))^3+8/5/(-I+tanh(1/2*d*x+1/2*c))^5+2/(-I+tanh(1/2*d*x+1/2*c)))","A"
59,1,121,101,0.110000," ","int(1/(1+I*sinh(d*x+c))^4,x)","\frac{\frac{8 i}{\left(-i+\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)^{6}}+\frac{72}{5 \left(-i+\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)^{5}}+\frac{6 i}{\left(-i+\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)^{2}}-\frac{16}{7 \left(-i+\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)^{7}}-\frac{16 i}{\left(-i+\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)^{4}}-\frac{12}{\left(-i+\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)^{3}}+\frac{2}{-i+\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}}{d}"," ",0,"1/d*(8*I/(-I+tanh(1/2*d*x+1/2*c))^6+72/5/(-I+tanh(1/2*d*x+1/2*c))^5+6*I/(-I+tanh(1/2*d*x+1/2*c))^2-16/7/(-I+tanh(1/2*d*x+1/2*c))^7-16*I/(-I+tanh(1/2*d*x+1/2*c))^4-12/(-I+tanh(1/2*d*x+1/2*c))^3+2/(-I+tanh(1/2*d*x+1/2*c)))","A"
60,1,20,25,0.043000," ","int(1/(1-I*sinh(d*x+c)),x)","\frac{2}{d \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+i\right)}"," ",0,"2/d/(tanh(1/2*d*x+1/2*c)+I)","A"
61,1,55,51,0.068000," ","int(1/(1-I*sinh(d*x+c))^2,x)","\frac{-\frac{2 i}{\left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+i\right)^{2}}+\frac{2}{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+i}-\frac{4}{3 \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+i\right)^{3}}}{d}"," ",0,"1/d*(-2*I/(tanh(1/2*d*x+1/2*c)+I)^2+2/(tanh(1/2*d*x+1/2*c)+I)-4/3/(tanh(1/2*d*x+1/2*c)+I)^3)","A"
62,1,88,76,0.072000," ","int(1/(1-I*sinh(d*x+c))^3,x)","\frac{\frac{8}{5 \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+i\right)^{5}}+\frac{4 i}{\left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+i\right)^{4}}-\frac{16}{3 \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+i\right)^{3}}-\frac{4 i}{\left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+i\right)^{2}}+\frac{2}{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+i}}{d}"," ",0,"1/d*(8/5/(tanh(1/2*d*x+1/2*c)+I)^5+4*I/(tanh(1/2*d*x+1/2*c)+I)^4-16/3/(tanh(1/2*d*x+1/2*c)+I)^3-4*I/(tanh(1/2*d*x+1/2*c)+I)^2+2/(tanh(1/2*d*x+1/2*c)+I))","A"
63,1,121,101,0.072000," ","int(1/(1-I*sinh(d*x+c))^4,x)","\frac{\frac{72}{5 \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+i\right)^{5}}-\frac{16}{7 \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+i\right)^{7}}+\frac{2}{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+i}+\frac{16 i}{\left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+i\right)^{4}}-\frac{12}{\left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+i\right)^{3}}-\frac{8 i}{\left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+i\right)^{6}}-\frac{6 i}{\left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+i\right)^{2}}}{d}"," ",0,"1/d*(72/5/(tanh(1/2*d*x+1/2*c)+I)^5-16/7/(tanh(1/2*d*x+1/2*c)+I)^7+2/(tanh(1/2*d*x+1/2*c)+I)+16*I/(tanh(1/2*d*x+1/2*c)+I)^4-12/(tanh(1/2*d*x+1/2*c)+I)^3-8*I/(tanh(1/2*d*x+1/2*c)+I)^6-6*I/(tanh(1/2*d*x+1/2*c)+I)^2)","A"
64,0,0,44,0.411000," ","int(sinh(x)/(a+I*a*sinh(x))^(1/2),x)","\int \frac{\sinh \left(x \right)}{\sqrt{a +i a \sinh \left(x \right)}}\, dx"," ",0,"int(sinh(x)/(a+I*a*sinh(x))^(1/2),x)","F"
65,0,0,44,0.364000," ","int(sinh(x)/(a-I*a*sinh(x))^(1/2),x)","\int \frac{\sinh \left(x \right)}{\sqrt{a -i a \sinh \left(x \right)}}\, dx"," ",0,"int(sinh(x)/(a-I*a*sinh(x))^(1/2),x)","F"
66,0,0,86,0.149000," ","int((a+I*a*sinh(d*x+c))^(5/2),x)","\int \left(a +i a \sinh \left(d x +c \right)\right)^{\frac{5}{2}}\, dx"," ",0,"int((a+I*a*sinh(d*x+c))^(5/2),x)","F"
67,0,0,57,0.119000," ","int((a+I*a*sinh(d*x+c))^(3/2),x)","\int \left(a +i a \sinh \left(d x +c \right)\right)^{\frac{3}{2}}\, dx"," ",0,"int((a+I*a*sinh(d*x+c))^(3/2),x)","F"
68,1,89,27,0.128000," ","int((a+I*a*sinh(d*x+c))^(1/2),x)","\frac{i \sqrt{2}\, \sqrt{a \left(i {\mathrm e}^{2 d x +2 c}-i+2 \,{\mathrm e}^{d x +c}\right) {\mathrm e}^{-d x -c}}\, \left({\mathrm e}^{d x +c}+i\right) \left({\mathrm e}^{d x +c}-i\right)}{\left(i {\mathrm e}^{2 d x +2 c}-i+2 \,{\mathrm e}^{d x +c}\right) d}"," ",0,"I*2^(1/2)*(a*(I*exp(2*d*x+2*c)-I+2*exp(d*x+c))*exp(-d*x-c))^(1/2)/(I*exp(2*d*x+2*c)-I+2*exp(d*x+c))*(exp(d*x+c)+I)*(exp(d*x+c)-I)/d","B"
69,0,0,41,0.536000," ","int(1/(a+I*a*sinh(d*x+c))^(1/2),x)","\int \frac{1}{\sqrt{a +i a \sinh \left(d x +c \right)}}\, dx"," ",0,"int(1/(a+I*a*sinh(d*x+c))^(1/2),x)","F"
70,0,0,68,0.132000," ","int(1/(a+I*a*sinh(d*x+c))^(3/2),x)","\int \frac{1}{\left(a +i a \sinh \left(d x +c \right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int(1/(a+I*a*sinh(d*x+c))^(3/2),x)","F"
71,0,0,97,0.123000," ","int(1/(a+I*a*sinh(d*x+c))^(5/2),x)","\int \frac{1}{\left(a +i a \sinh \left(d x +c \right)\right)^{\frac{5}{2}}}\, dx"," ",0,"int(1/(a+I*a*sinh(d*x+c))^(5/2),x)","F"
72,1,262,94,0.042000," ","int(sinh(x)^4/(a+b*sinh(x)),x)","\frac{2 a^{4} \arctanh \left(\frac{2 a \tanh \left(\frac{x}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{b^{4} \sqrt{a^{2}+b^{2}}}-\frac{1}{3 b \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}-\frac{a}{2 b^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{1}{2 b \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{a^{2}}{b^{3} \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{a}{2 b^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{1}{2 b \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{a^{3} \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{b^{4}}-\frac{a \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2 b^{2}}+\frac{1}{3 b \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}+\frac{a}{2 b^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{1}{2 b \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{a^{2}}{b^{3} \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{a}{2 b^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{1}{2 b \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{a^{3} \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{b^{4}}+\frac{a \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2 b^{2}}"," ",0,"2*a^4/b^4/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))-1/3/b/(tanh(1/2*x)-1)^3-1/2/b^2/(tanh(1/2*x)-1)^2*a-1/2/b/(tanh(1/2*x)-1)^2-1/b^3/(tanh(1/2*x)-1)*a^2-1/2/b^2/(tanh(1/2*x)-1)*a+1/2/b/(tanh(1/2*x)-1)+a^3/b^4*ln(tanh(1/2*x)-1)-1/2*a/b^2*ln(tanh(1/2*x)-1)+1/3/b/(tanh(1/2*x)+1)^3+1/2/b^2/(tanh(1/2*x)+1)^2*a-1/2/b/(tanh(1/2*x)+1)^2+1/b^3/(tanh(1/2*x)+1)*a^2-1/2/b^2/(tanh(1/2*x)+1)*a-1/2/b/(tanh(1/2*x)+1)-a^3/b^4*ln(tanh(1/2*x)+1)+1/2*a/b^2*ln(tanh(1/2*x)+1)","B"
73,1,174,72,0.047000," ","int(sinh(x)^3/(a+b*sinh(x)),x)","-\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^{3} \sqrt{a^{2}+b^{2}}}+\frac{1}{2 b \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{1}{2 b \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{a}{b^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right) a^{2}}{b^{3}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2 b}-\frac{1}{2 b \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{1}{2 b \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{a}{b^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right) a^{2}}{b^{3}}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2 b}"," ",0,"-2*a^3/b^3/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))+1/2/b/(tanh(1/2*x)-1)^2+1/2/b/(tanh(1/2*x)-1)+1/b^2/(tanh(1/2*x)-1)*a-1/b^3*ln(tanh(1/2*x)-1)*a^2+1/2/b*ln(tanh(1/2*x)-1)-1/2/b/(tanh(1/2*x)+1)^2+1/2/b/(tanh(1/2*x)+1)-1/b^2/(tanh(1/2*x)+1)*a+1/b^3*ln(tanh(1/2*x)+1)*a^2-1/2/b*ln(tanh(1/2*x)+1)","B"
74,1,92,51,0.038000," ","int(sinh(x)^2/(a+b*sinh(x)),x)","\frac{2 a^{2} \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}}}-\frac{1}{b \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{a \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{b^{2}}+\frac{1}{b \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{a \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{b^{2}}"," ",0,"2*a^2/b^2/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))-1/b/(tanh(1/2*x)-1)+a/b^2*ln(tanh(1/2*x)-1)+1/b/(tanh(1/2*x)+1)-a/b^2*ln(tanh(1/2*x)+1)","A"
75,1,63,41,0.028000," ","int(sinh(x)/(a+b*sinh(x)),x)","-\frac{2 a \arctanh \left(\frac{2 a \tanh \left(\frac{x}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{b \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,"-2*a/b/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))-1/b*ln(tanh(1/2*x)-1)+1/b*ln(tanh(1/2*x)+1)","A"
76,1,49,44,0.039000," ","int(csch(x)/(a+b*sinh(x)),x)","-\frac{2 b \arctanh \left(\frac{2 a \tanh \left(\frac{x}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{a \sqrt{a^{2}+b^{2}}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right)}{a}"," ",0,"-2/a*b/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))+1/a*ln(tanh(1/2*x))","A"
77,1,73,53,0.046000," ","int(csch(x)^2/(a+b*sinh(x)),x)","-\frac{\tanh \left(\frac{x}{2}\right)}{2 a}+\frac{2 b^{2} \arctanh \left(\frac{2 a \tanh \left(\frac{x}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{a^{2} \sqrt{a^{2}+b^{2}}}-\frac{1}{2 a \tanh \left(\frac{x}{2}\right)}-\frac{b \ln \left(\tanh \left(\frac{x}{2}\right)\right)}{a^{2}}"," ",0,"-1/2/a*tanh(1/2*x)+2*b^2/a^2/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))-1/2/a/tanh(1/2*x)-1/a^2*b*ln(tanh(1/2*x))","A"
78,1,108,71,0.049000," ","int(csch(x)^3/(a+b*sinh(x)),x)","\frac{\tanh^{2}\left(\frac{x}{2}\right)}{8 a}+\frac{\tanh \left(\frac{x}{2}\right) b}{2 a^{2}}-\frac{2 b^{3} \arctanh \left(\frac{2 a \tanh \left(\frac{x}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{a^{3} \sqrt{a^{2}+b^{2}}}-\frac{1}{8 a \tanh \left(\frac{x}{2}\right)^{2}}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right)}{2 a}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right) b^{2}}{a^{3}}+\frac{b}{2 a^{2} \tanh \left(\frac{x}{2}\right)}"," ",0,"1/8/a*tanh(1/2*x)^2+1/2/a^2*tanh(1/2*x)*b-2/a^3*b^3/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))-1/8/a/tanh(1/2*x)^2-1/2/a*ln(tanh(1/2*x))+1/a^3*ln(tanh(1/2*x))*b^2+1/2*b/a^2/tanh(1/2*x)","A"
79,1,158,95,0.054000," ","int(csch(x)^4/(a+b*sinh(x)),x)","-\frac{\tanh^{3}\left(\frac{x}{2}\right)}{24 a}-\frac{b \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{8 a^{2}}+\frac{3 \tanh \left(\frac{x}{2}\right)}{8 a}-\frac{b^{2} \tanh \left(\frac{x}{2}\right)}{2 a^{3}}+\frac{2 b^{4} \arctanh \left(\frac{2 a \tanh \left(\frac{x}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{a^{4} \sqrt{a^{2}+b^{2}}}-\frac{1}{24 a \tanh \left(\frac{x}{2}\right)^{3}}+\frac{3}{8 a \tanh \left(\frac{x}{2}\right)}-\frac{b^{2}}{2 a^{3} \tanh \left(\frac{x}{2}\right)}+\frac{b}{8 a^{2} \tanh \left(\frac{x}{2}\right)^{2}}+\frac{b \ln \left(\tanh \left(\frac{x}{2}\right)\right)}{2 a^{2}}-\frac{b^{3} \ln \left(\tanh \left(\frac{x}{2}\right)\right)}{a^{4}}"," ",0,"-1/24/a*tanh(1/2*x)^3-1/8/a^2*b*tanh(1/2*x)^2+3/8/a*tanh(1/2*x)-1/2/a^3*b^2*tanh(1/2*x)+2/a^4*b^4/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))-1/24/a/tanh(1/2*x)^3+3/8/a/tanh(1/2*x)-1/2/a^3/tanh(1/2*x)*b^2+1/8/a^2*b/tanh(1/2*x)^2+1/2/a^2*b*ln(tanh(1/2*x))-1/a^4*b^3*ln(tanh(1/2*x))","A"
80,1,296,152,0.067000," ","int(sinh(x)^4/(a+b*sinh(x))^2,x)","\frac{2 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) \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) \left(a^{2}+b^{2}\right)}-\frac{6 a^{5} \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{8 a^{3} \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{1}{2 b^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{1}{2 b^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{2 a}{b^{3} \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)-1\right) a^{2}}{b^{4}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2 b^{2}}-\frac{1}{2 b^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{1}{2 b^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{2 a}{b^{3} \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)+1\right) a^{2}}{b^{4}}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2 b^{2}}"," ",0,"2/b^2*a^3/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)/(a^2+b^2)*tanh(1/2*x)+2/b^3*a^4/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)/(a^2+b^2)-6/b^4*a^5/(a^2+b^2)^(3/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))-8/b^2*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))+1/2/b^2/(tanh(1/2*x)-1)^2+1/2/b^2/(tanh(1/2*x)-1)+2/b^3/(tanh(1/2*x)-1)*a-3/b^4*ln(tanh(1/2*x)-1)*a^2+1/2/b^2*ln(tanh(1/2*x)-1)-1/2/b^2/(tanh(1/2*x)+1)^2+1/2/b^2/(tanh(1/2*x)+1)-2/b^3/(tanh(1/2*x)+1)*a+3/b^4*ln(tanh(1/2*x)+1)*a^2-1/2/b^2*ln(tanh(1/2*x)+1)","A"
81,1,213,109,0.057000," ","int(sinh(x)^3/(a+b*sinh(x))^2,x)","-\frac{2 a^{2} \tanh \left(\frac{x}{2}\right)}{b \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right) \left(a^{2}+b^{2}\right)}-\frac{2 a^{3}}{b^{2} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right) \left(a^{2}+b^{2}\right)}+\frac{4 a^{4} \arctanh \left(\frac{2 a \tanh \left(\frac{x}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{b^{3} \left(a^{2}+b^{2}\right)^{\frac{3}{2}}}+\frac{6 a^{2} \arctanh \left(\frac{2 a \tanh \left(\frac{x}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{b \left(a^{2}+b^{2}\right)^{\frac{3}{2}}}-\frac{1}{b^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{2 a \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{b^{3}}+\frac{1}{b^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{2 a \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{b^{3}}"," ",0,"-2/b*a^2/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)/(a^2+b^2)*tanh(1/2*x)-2/b^2*a^3/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)/(a^2+b^2)+4/b^3*a^4/(a^2+b^2)^(3/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))+6/b*a^2/(a^2+b^2)^(3/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))-1/b^2/(tanh(1/2*x)-1)+2*a/b^3*ln(tanh(1/2*x)-1)+1/b^2/(tanh(1/2*x)+1)-2*a/b^3*ln(tanh(1/2*x)+1)","A"
82,1,175,77,0.062000," ","int(sinh(x)^2/(a+b*sinh(x))^2,x)","\frac{2 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) \left(a^{2}+b^{2}\right)}+\frac{2 a^{2}}{b \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right) \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^{2} \left(a^{2}+b^{2}\right)^{\frac{3}{2}}}-\frac{4 a \arctanh \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}}}-\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}}"," ",0,"2*a/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)/(a^2+b^2)*tanh(1/2*x)+2/b*a^2/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)/(a^2+b^2)-2/b^2*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))-4*a/(a^2+b^2)^(3/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))-1/b^2*ln(tanh(1/2*x)-1)+1/b^2*ln(tanh(1/2*x)+1)","B"
83,1,97,54,0.037000," ","int(sinh(x)/(a+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 \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)}-\frac{8 b \arctanh \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*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)-8*b/(-4*a^2-4*b^2)/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))","A"
84,1,166,79,0.062000," ","int(csch(x)/(a+b*sinh(x))^2,x)","-\frac{2 b^{3} \tanh \left(\frac{x}{2}\right)}{a^{2} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right) \left(a^{2}+b^{2}\right)}-\frac{2 b^{2}}{a \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right) \left(a^{2}+b^{2}\right)}-\frac{4 b \arctanh \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}}}-\frac{2 b^{3} \arctanh \left(\frac{2 a \tanh \left(\frac{x}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{a^{2} \left(a^{2}+b^{2}\right)^{\frac{3}{2}}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right)}{a^{2}}"," ",0,"-2/a^2*b^3/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)/(a^2+b^2)*tanh(1/2*x)-2/a*b^2/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)/(a^2+b^2)-4*b/(a^2+b^2)^(3/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))-2/a^2*b^3/(a^2+b^2)^(3/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))+1/a^2*ln(tanh(1/2*x))","B"
85,1,193,109,0.082000," ","int(csch(x)^2/(a+b*sinh(x))^2,x)","-\frac{\tanh \left(\frac{x}{2}\right)}{2 a^{2}}+\frac{2 b^{4} \tanh \left(\frac{x}{2}\right)}{a^{3} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right) \left(a^{2}+b^{2}\right)}+\frac{2 b^{3}}{a^{2} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right) \left(a^{2}+b^{2}\right)}+\frac{6 b^{2} \arctanh \left(\frac{2 a \tanh \left(\frac{x}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{a \left(a^{2}+b^{2}\right)^{\frac{3}{2}}}+\frac{4 b^{4} \arctanh \left(\frac{2 a \tanh \left(\frac{x}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{a^{3} \left(a^{2}+b^{2}\right)^{\frac{3}{2}}}-\frac{1}{2 a^{2} \tanh \left(\frac{x}{2}\right)}-\frac{2 b \ln \left(\tanh \left(\frac{x}{2}\right)\right)}{a^{3}}"," ",0,"-1/2/a^2*tanh(1/2*x)+2/a^3*b^4/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)/(a^2+b^2)*tanh(1/2*x)+2/a^2*b^3/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)/(a^2+b^2)+6/a*b^2/(a^2+b^2)^(3/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))+4/a^3*b^4/(a^2+b^2)^(3/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))-1/2/a^2/tanh(1/2*x)-2/a^3*b*ln(tanh(1/2*x))","A"
86,1,227,148,0.088000," ","int(csch(x)^3/(a+b*sinh(x))^2,x)","\frac{\tanh^{2}\left(\frac{x}{2}\right)}{8 a^{2}}+\frac{\tanh \left(\frac{x}{2}\right) b}{a^{3}}-\frac{2 b^{5} \tanh \left(\frac{x}{2}\right)}{a^{4} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right) \left(a^{2}+b^{2}\right)}-\frac{2 b^{4}}{a^{3} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right) \left(a^{2}+b^{2}\right)}-\frac{8 b^{3} \arctanh \left(\frac{2 a \tanh \left(\frac{x}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{a^{2} \left(a^{2}+b^{2}\right)^{\frac{3}{2}}}-\frac{6 b^{5} \arctanh \left(\frac{2 a \tanh \left(\frac{x}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{a^{4} \left(a^{2}+b^{2}\right)^{\frac{3}{2}}}-\frac{1}{8 a^{2} \tanh \left(\frac{x}{2}\right)^{2}}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right)}{2 a^{2}}+\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)\right) b^{2}}{a^{4}}+\frac{b}{a^{3} \tanh \left(\frac{x}{2}\right)}"," ",0,"1/8/a^2*tanh(1/2*x)^2+1/a^3*tanh(1/2*x)*b-2/a^4*b^5/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)/(a^2+b^2)*tanh(1/2*x)-2/a^3*b^4/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)/(a^2+b^2)-8/a^2*b^3/(a^2+b^2)^(3/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))-6/a^4*b^5/(a^2+b^2)^(3/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))-1/8/a^2/tanh(1/2*x)^2-1/2/a^2*ln(tanh(1/2*x))+3/a^4*ln(tanh(1/2*x))*b^2+b/a^3/tanh(1/2*x)","A"
87,1,277,188,0.084000," ","int(csch(x)^4/(a+b*sinh(x))^2,x)","-\frac{\tanh^{3}\left(\frac{x}{2}\right)}{24 a^{2}}-\frac{b \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{4 a^{3}}+\frac{3 \tanh \left(\frac{x}{2}\right)}{8 a^{2}}-\frac{3 b^{2} \tanh \left(\frac{x}{2}\right)}{2 a^{4}}+\frac{2 b^{6} \tanh \left(\frac{x}{2}\right)}{a^{5} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right) \left(a^{2}+b^{2}\right)}+\frac{2 b^{5}}{a^{4} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right) \left(a^{2}+b^{2}\right)}+\frac{10 b^{4} \arctanh \left(\frac{2 a \tanh \left(\frac{x}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{a^{3} \left(a^{2}+b^{2}\right)^{\frac{3}{2}}}+\frac{8 b^{6} \arctanh \left(\frac{2 a \tanh \left(\frac{x}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{a^{5} \left(a^{2}+b^{2}\right)^{\frac{3}{2}}}-\frac{1}{24 a^{2} \tanh \left(\frac{x}{2}\right)^{3}}+\frac{3}{8 a^{2} \tanh \left(\frac{x}{2}\right)}-\frac{3 b^{2}}{2 a^{4} \tanh \left(\frac{x}{2}\right)}+\frac{b}{4 a^{3} \tanh \left(\frac{x}{2}\right)^{2}}+\frac{b \ln \left(\tanh \left(\frac{x}{2}\right)\right)}{a^{3}}-\frac{4 b^{3} \ln \left(\tanh \left(\frac{x}{2}\right)\right)}{a^{5}}"," ",0,"-1/24/a^2*tanh(1/2*x)^3-1/4/a^3*b*tanh(1/2*x)^2+3/8/a^2*tanh(1/2*x)-3/2/a^4*b^2*tanh(1/2*x)+2/a^5*b^6/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)/(a^2+b^2)*tanh(1/2*x)+2/a^4*b^5/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)/(a^2+b^2)+10/a^3*b^4/(a^2+b^2)^(3/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))+8/a^5*b^6/(a^2+b^2)^(3/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))-1/24/a^2/tanh(1/2*x)^3+3/8/a^2/tanh(1/2*x)-3/2/a^4/tanh(1/2*x)*b^2+1/4/a^3*b/tanh(1/2*x)^2+1/a^3*b*ln(tanh(1/2*x))-4/a^5*b^3*ln(tanh(1/2*x))","A"
88,1,42,61,0.046000," ","int(1/(3+5*I*sinh(d*x+c)),x)","\frac{i \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-3 i\right)}{4 d}-\frac{i \ln \left(3 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-i\right)}{4 d}"," ",0,"1/4*I/d*ln(tanh(1/2*d*x+1/2*c)-3*I)-1/4*I/d*ln(3*tanh(1/2*d*x+1/2*c)-I)","A"
89,1,82,86,0.076000," ","int(1/(3+5*I*sinh(d*x+c))^2,x)","-\frac{3 i \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-3 i\right)}{64 d}+\frac{5}{16 d \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-3 i\right)}+\frac{3 i \ln \left(3 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-i\right)}{64 d}+\frac{5}{48 d \left(3 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-i\right)}"," ",0,"-3/64*I/d*ln(tanh(1/2*d*x+1/2*c)-3*I)+5/16/d/(tanh(1/2*d*x+1/2*c)-3*I)+3/64*I/d*ln(3*tanh(1/2*d*x+1/2*c)-I)+5/48/d/(3*tanh(1/2*d*x+1/2*c)-I)","A"
90,1,124,111,0.093000," ","int(1/(3+5*I*sinh(d*x+c))^3,x)","\frac{25 i}{128 d \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-3 i\right)^{2}}+\frac{43 i \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-3 i\right)}{2048 d}+\frac{15}{512 d \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-3 i\right)}-\frac{43 i \ln \left(3 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-i\right)}{2048 d}-\frac{25 i}{1152 d \left(3 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-i\right)^{2}}-\frac{155}{4608 d \left(3 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-i\right)}"," ",0,"25/128*I/d/(tanh(1/2*d*x+1/2*c)-3*I)^2+43/2048*I/d*ln(tanh(1/2*d*x+1/2*c)-3*I)+15/512/d/(tanh(1/2*d*x+1/2*c)-3*I)-43/2048*I/d*ln(3*tanh(1/2*d*x+1/2*c)-I)-25/1152*I/d/(3*tanh(1/2*d*x+1/2*c)-I)^2-155/4608/d/(3*tanh(1/2*d*x+1/2*c)-I)","A"
91,1,164,136,0.091000," ","int(1/(3+5*I*sinh(d*x+c))^4,x)","-\frac{279 i \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-3 i\right)}{32768 d}+\frac{75 i}{1024 d \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-3 i\right)^{2}}-\frac{125}{768 d \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-3 i\right)^{3}}+\frac{345}{8192 d \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-3 i\right)}+\frac{275 i}{27648 d \left(3 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-i\right)^{2}}+\frac{279 i \ln \left(3 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-i\right)}{32768 d}-\frac{125}{20736 d \left(3 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-i\right)^{3}}+\frac{3505}{221184 d \left(3 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-i\right)}"," ",0,"-279/32768*I/d*ln(tanh(1/2*d*x+1/2*c)-3*I)+75/1024*I/d/(tanh(1/2*d*x+1/2*c)-3*I)^2-125/768/d/(tanh(1/2*d*x+1/2*c)-3*I)^3+345/8192/d/(tanh(1/2*d*x+1/2*c)-3*I)+275/27648*I/d/(3*tanh(1/2*d*x+1/2*c)-I)^2+279/32768*I/d*ln(3*tanh(1/2*d*x+1/2*c)-I)-125/20736/d/(3*tanh(1/2*d*x+1/2*c)-I)^3+3505/221184/d/(3*tanh(1/2*d*x+1/2*c)-I)","A"
92,1,44,31,0.047000," ","int(1/(5+3*I*sinh(d*x+c)),x)","-\frac{\ln \left(5 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-4-3 i\right)}{4 d}+\frac{\ln \left(5 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+4-3 i\right)}{4 d}"," ",0,"-1/4/d*ln(5*tanh(1/2*d*x+1/2*c)-4-3*I)+1/4/d*ln(5*tanh(1/2*d*x+1/2*c)+4-3*I)","A"
93,1,134,56,0.076000," ","int(1/(5+3*I*sinh(d*x+c))^2,x)","-\frac{9}{80 d \left(5 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-4-3 i\right)}+\frac{3 i}{20 d \left(5 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-4-3 i\right)}-\frac{5 \ln \left(5 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-4-3 i\right)}{64 d}-\frac{9}{80 d \left(5 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+4-3 i\right)}-\frac{3 i}{20 d \left(5 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+4-3 i\right)}+\frac{5 \ln \left(5 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+4-3 i\right)}{64 d}"," ",0,"-9/80/d/(5*tanh(1/2*d*x+1/2*c)-4-3*I)+3/20*I/d/(5*tanh(1/2*d*x+1/2*c)-4-3*I)-5/64/d*ln(5*tanh(1/2*d*x+1/2*c)-4-3*I)-9/80/d/(5*tanh(1/2*d*x+1/2*c)+4-3*I)-3/20*I/d/(5*tanh(1/2*d*x+1/2*c)+4-3*I)+5/64/d*ln(5*tanh(1/2*d*x+1/2*c)+4-3*I)","B"
94,1,224,81,0.097000," ","int(1/(5+3*I*sinh(d*x+c))^3,x)","-\frac{63}{3200 d \left(5 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-4-3 i\right)^{2}}-\frac{27 i}{400 d \left(5 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-4-3 i\right)^{2}}-\frac{963}{12800 d \left(5 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-4-3 i\right)}+\frac{123 i}{1600 d \left(5 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-4-3 i\right)}-\frac{59 \ln \left(5 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-4-3 i\right)}{2048 d}+\frac{63}{3200 d \left(5 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+4-3 i\right)^{2}}-\frac{27 i}{400 d \left(5 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+4-3 i\right)^{2}}-\frac{963}{12800 d \left(5 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+4-3 i\right)}-\frac{123 i}{1600 d \left(5 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+4-3 i\right)}+\frac{59 \ln \left(5 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+4-3 i\right)}{2048 d}"," ",0,"-63/3200/d/(5*tanh(1/2*d*x+1/2*c)-4-3*I)^2-27/400*I/d/(5*tanh(1/2*d*x+1/2*c)-4-3*I)^2-963/12800/d/(5*tanh(1/2*d*x+1/2*c)-4-3*I)+123/1600*I/d/(5*tanh(1/2*d*x+1/2*c)-4-3*I)-59/2048/d*ln(5*tanh(1/2*d*x+1/2*c)-4-3*I)+63/3200/d/(5*tanh(1/2*d*x+1/2*c)+4-3*I)^2-27/400*I/d/(5*tanh(1/2*d*x+1/2*c)+4-3*I)^2-963/12800/d/(5*tanh(1/2*d*x+1/2*c)+4-3*I)-123/1600*I/d/(5*tanh(1/2*d*x+1/2*c)+4-3*I)+59/2048/d*ln(5*tanh(1/2*d*x+1/2*c)+4-3*I)","B"
95,1,314,106,0.091000," ","int(1/(5+3*I*sinh(d*x+c))^4,x)","\frac{1053}{32000 d \left(5 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-4-3 i\right)^{3}}+\frac{99 i}{8000 d \left(5 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-4-3 i\right)^{3}}-\frac{783}{128000 d \left(5 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-4-3 i\right)^{2}}-\frac{3753 i}{64000 d \left(5 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-4-3 i\right)^{2}}-\frac{39933}{1024000 d \left(5 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-4-3 i\right)}+\frac{8361 i}{256000 d \left(5 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-4-3 i\right)}-\frac{385 \ln \left(5 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-4-3 i\right)}{32768 d}+\frac{1053}{32000 d \left(5 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+4-3 i\right)^{3}}-\frac{99 i}{8000 d \left(5 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+4-3 i\right)^{3}}+\frac{783}{128000 d \left(5 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+4-3 i\right)^{2}}-\frac{3753 i}{64000 d \left(5 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+4-3 i\right)^{2}}-\frac{39933}{1024000 d \left(5 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+4-3 i\right)}-\frac{8361 i}{256000 d \left(5 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+4-3 i\right)}+\frac{385 \ln \left(5 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+4-3 i\right)}{32768 d}"," ",0,"1053/32000/d/(5*tanh(1/2*d*x+1/2*c)-4-3*I)^3+99/8000*I/d/(5*tanh(1/2*d*x+1/2*c)-4-3*I)^3-783/128000/d/(5*tanh(1/2*d*x+1/2*c)-4-3*I)^2-3753/64000*I/d/(5*tanh(1/2*d*x+1/2*c)-4-3*I)^2-39933/1024000/d/(5*tanh(1/2*d*x+1/2*c)-4-3*I)+8361/256000*I/d/(5*tanh(1/2*d*x+1/2*c)-4-3*I)-385/32768/d*ln(5*tanh(1/2*d*x+1/2*c)-4-3*I)+1053/32000/d/(5*tanh(1/2*d*x+1/2*c)+4-3*I)^3-99/8000*I/d/(5*tanh(1/2*d*x+1/2*c)+4-3*I)^3+783/128000/d/(5*tanh(1/2*d*x+1/2*c)+4-3*I)^2-3753/64000*I/d/(5*tanh(1/2*d*x+1/2*c)+4-3*I)^2-39933/1024000/d/(5*tanh(1/2*d*x+1/2*c)+4-3*I)-8361/256000*I/d/(5*tanh(1/2*d*x+1/2*c)+4-3*I)+385/32768/d*ln(5*tanh(1/2*d*x+1/2*c)+4-3*I)","B"
96,1,155,171,0.041000," ","int((a+b*sinh(d*x+c))^5,x)","\frac{b^{5} \left(\frac{8}{15}+\frac{\left(\sinh^{4}\left(d x +c \right)\right)}{5}-\frac{4 \left(\sinh^{2}\left(d x +c \right)\right)}{15}\right) \cosh \left(d x +c \right)+5 a \,b^{4} \left(\left(\frac{\left(\sinh^{3}\left(d x +c \right)\right)}{4}-\frac{3 \sinh \left(d x +c \right)}{8}\right) \cosh \left(d x +c \right)+\frac{3 d x}{8}+\frac{3 c}{8}\right)+10 a^{2} b^{3} \left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(d x +c \right)\right)}{3}\right) \cosh \left(d x +c \right)+10 a^{3} b^{2} \left(\frac{\cosh \left(d x +c \right) \sinh \left(d x +c \right)}{2}-\frac{d x}{2}-\frac{c}{2}\right)+5 a^{4} b \cosh \left(d x +c \right)+a^{5} \left(d x +c \right)}{d}"," ",0,"1/d*(b^5*(8/15+1/5*sinh(d*x+c)^4-4/15*sinh(d*x+c)^2)*cosh(d*x+c)+5*a*b^4*((1/4*sinh(d*x+c)^3-3/8*sinh(d*x+c))*cosh(d*x+c)+3/8*d*x+3/8*c)+10*a^2*b^3*(-2/3+1/3*sinh(d*x+c)^2)*cosh(d*x+c)+10*a^3*b^2*(1/2*cosh(d*x+c)*sinh(d*x+c)-1/2*d*x-1/2*c)+5*a^4*b*cosh(d*x+c)+a^5*(d*x+c))","A"
97,1,119,127,0.037000," ","int((a+b*sinh(d*x+c))^4,x)","\frac{b^{4} \left(\left(\frac{\left(\sinh^{3}\left(d x +c \right)\right)}{4}-\frac{3 \sinh \left(d x +c \right)}{8}\right) \cosh \left(d x +c \right)+\frac{3 d x}{8}+\frac{3 c}{8}\right)+4 a \,b^{3} \left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(d x +c \right)\right)}{3}\right) \cosh \left(d x +c \right)+6 a^{2} b^{2} \left(\frac{\cosh \left(d x +c \right) \sinh \left(d x +c \right)}{2}-\frac{d x}{2}-\frac{c}{2}\right)+4 a^{3} b \cosh \left(d x +c \right)+a^{4} \left(d x +c \right)}{d}"," ",0,"1/d*(b^4*((1/4*sinh(d*x+c)^3-3/8*sinh(d*x+c))*cosh(d*x+c)+3/8*d*x+3/8*c)+4*a*b^3*(-2/3+1/3*sinh(d*x+c)^2)*cosh(d*x+c)+6*a^2*b^2*(1/2*cosh(d*x+c)*sinh(d*x+c)-1/2*d*x-1/2*c)+4*a^3*b*cosh(d*x+c)+a^4*(d*x+c))","A"
98,1,77,84,0.039000," ","int((a+b*sinh(d*x+c))^3,x)","\frac{b^{3} \left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(d x +c \right)\right)}{3}\right) \cosh \left(d x +c \right)+3 a \,b^{2} \left(\frac{\cosh \left(d x +c \right) \sinh \left(d x +c \right)}{2}-\frac{d x}{2}-\frac{c}{2}\right)+3 a^{2} b \cosh \left(d x +c \right)+a^{3} \left(d x +c \right)}{d}"," ",0,"1/d*(b^3*(-2/3+1/3*sinh(d*x+c)^2)*cosh(d*x+c)+3*a*b^2*(1/2*cosh(d*x+c)*sinh(d*x+c)-1/2*d*x-1/2*c)+3*a^2*b*cosh(d*x+c)+a^3*(d*x+c))","A"
99,1,51,48,0.028000," ","int((a+b*sinh(d*x+c))^2,x)","\frac{b^{2} \left(\frac{\cosh \left(d x +c \right) \sinh \left(d x +c \right)}{2}-\frac{d x}{2}-\frac{c}{2}\right)+2 a b \cosh \left(d x +c \right)+a^{2} \left(d x +c \right)}{d}"," ",0,"1/d*(b^2*(1/2*cosh(d*x+c)*sinh(d*x+c)-1/2*d*x-1/2*c)+2*a*b*cosh(d*x+c)+a^2*(d*x+c))","A"
100,1,16,15,0.004000," ","int(a+b*sinh(d*x+c),x)","a x +\frac{b \cosh \left(d x +c \right)}{d}"," ",0,"a*x+b*cosh(d*x+c)/d","A"
101,1,43,39,0.038000," ","int(1/(a+b*sinh(d*x+c)),x)","\frac{2 \arctanh \left(\frac{2 a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{d \sqrt{a^{2}+b^{2}}}"," ",0,"2/d/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*d*x+1/2*c)-2*b)/(a^2+b^2)^(1/2))","A"
102,1,118,74,0.068000," ","int(1/(a+b*sinh(d*x+c))^2,x)","\frac{-\frac{2 \left(-\frac{b^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{a \left(a^{2}+b^{2}\right)}-\frac{b}{a^{2}+b^{2}}\right)}{\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}+\frac{2 a \arctanh \left(\frac{2 a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}}}}{d}"," ",0,"1/d*(-2*(-b^2/a/(a^2+b^2)*tanh(1/2*d*x+1/2*c)-b/(a^2+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/(a^2+b^2)^(3/2)*arctanh(1/2*(2*a*tanh(1/2*d*x+1/2*c)-2*b)/(a^2+b^2)^(1/2)))","A"
103,1,280,118,0.092000," ","int(1/(a+b*sinh(d*x+c))^3,x)","\frac{-\frac{2 \left(-\frac{b^{2} \left(5 a^{2}+2 b^{2}\right) \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{2 a \left(a^{4}+2 a^{2} b^{2}+b^{4}\right)}-\frac{b \left(4 a^{4}-7 a^{2} b^{2}-2 b^{4}\right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{2 \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) a^{2}}+\frac{b^{2} \left(11 a^{2}+2 b^{2}\right) \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{2 \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) a}+\frac{b \left(4 a^{2}+b^{2}\right)}{2 a^{4}+4 a^{2} b^{2}+2 b^{4}}\right)}{\left(\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)^{2}}+\frac{\left(2 a^{2}-b^{2}\right) \arctanh \left(\frac{2 a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \sqrt{a^{2}+b^{2}}}}{d}"," ",0,"1/d*(-2*(-1/2*b^2*(5*a^2+2*b^2)/a/(a^4+2*a^2*b^2+b^4)*tanh(1/2*d*x+1/2*c)^3-1/2*b*(4*a^4-7*a^2*b^2-2*b^4)/(a^4+2*a^2*b^2+b^4)/a^2*tanh(1/2*d*x+1/2*c)^2+1/2*b^2*(11*a^2+2*b^2)/(a^4+2*a^2*b^2+b^4)/a*tanh(1/2*d*x+1/2*c)+1/2*b*(4*a^2+b^2)/(a^4+2*a^2*b^2+b^4))/(tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)*b-a)^2+(2*a^2-b^2)/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*d*x+1/2*c)-2*b)/(a^2+b^2)^(1/2)))","B"
104,1,494,163,0.101000," ","int(1/(a+b*sinh(d*x+c))^4,x)","\frac{-\frac{2 \left(-\frac{b^{2} \left(9 a^{4}+6 a^{2} b^{2}+2 b^{4}\right) \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{2 a \left(a^{6}+3 a^{4} b^{2}+3 a^{2} b^{4}+b^{6}\right)}-\frac{b \left(6 a^{6}-27 a^{4} b^{2}-12 a^{2} b^{4}-4 b^{6}\right) \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{2 a^{2} \left(a^{6}+3 a^{4} b^{2}+3 a^{2} b^{4}+b^{6}\right)}+\frac{b^{2} \left(54 a^{6}-21 a^{4} b^{2}-4 a^{2} b^{4}-4 b^{6}\right) \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{3 a^{3} \left(a^{6}+3 a^{4} b^{2}+3 a^{2} b^{4}+b^{6}\right)}+\frac{b \left(6 a^{6}-20 a^{4} b^{2}-3 a^{2} b^{4}-2 b^{6}\right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{a^{2} \left(a^{6}+3 a^{4} b^{2}+3 a^{2} b^{4}+b^{6}\right)}-\frac{b^{2} \left(27 a^{4}+4 a^{2} b^{2}+2 b^{4}\right) \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{2 a \left(a^{6}+3 a^{4} b^{2}+3 a^{2} b^{4}+b^{6}\right)}-\frac{b \left(18 a^{4}+5 a^{2} b^{2}+2 b^{4}\right)}{6 \left(a^{6}+3 a^{4} b^{2}+3 a^{2} b^{4}+b^{6}\right)}\right)}{\left(\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)^{3}}+\frac{a \left(2 a^{2}-3 b^{2}\right) \arctanh \left(\frac{2 a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{\left(a^{6}+3 a^{4} b^{2}+3 a^{2} b^{4}+b^{6}\right) \sqrt{a^{2}+b^{2}}}}{d}"," ",0,"1/d*(-2*(-1/2*b^2*(9*a^4+6*a^2*b^2+2*b^4)/a/(a^6+3*a^4*b^2+3*a^2*b^4+b^6)*tanh(1/2*d*x+1/2*c)^5-1/2*b*(6*a^6-27*a^4*b^2-12*a^2*b^4-4*b^6)/a^2/(a^6+3*a^4*b^2+3*a^2*b^4+b^6)*tanh(1/2*d*x+1/2*c)^4+1/3/a^3*b^2*(54*a^6-21*a^4*b^2-4*a^2*b^4-4*b^6)/(a^6+3*a^4*b^2+3*a^2*b^4+b^6)*tanh(1/2*d*x+1/2*c)^3+1/a^2*b*(6*a^6-20*a^4*b^2-3*a^2*b^4-2*b^6)/(a^6+3*a^4*b^2+3*a^2*b^4+b^6)*tanh(1/2*d*x+1/2*c)^2-1/2/a*b^2*(27*a^4+4*a^2*b^2+2*b^4)/(a^6+3*a^4*b^2+3*a^2*b^4+b^6)*tanh(1/2*d*x+1/2*c)-1/6*b*(18*a^4+5*a^2*b^2+2*b^4)/(a^6+3*a^4*b^2+3*a^2*b^4+b^6))/(tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)*b-a)^3+a*(2*a^2-3*b^2)/(a^6+3*a^4*b^2+3*a^2*b^4+b^6)/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*d*x+1/2*c)-2*b)/(a^2+b^2)^(1/2)))","B"
105,1,917,203,0.204000," ","int((a+b*sinh(x))^(5/2),x)","\frac{\frac{16 i \sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \EllipticF \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) a^{3} b}{15}+\frac{16 i \sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \EllipticF \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) a \,b^{3}}{15}+2 \sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \EllipticF \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) a^{4}+\frac{4 \sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \EllipticF \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) a^{2} b^{2}}{5}-\frac{6 \sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \EllipticF \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) b^{4}}{5}-\frac{46 \sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \EllipticE \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) a^{4}}{15}-\frac{28 \sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \EllipticE \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) a^{2} b^{2}}{15}+\frac{6 \sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \EllipticE \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) b^{4}}{5}+\frac{2 b^{4} \left(\sinh^{4}\left(x \right)\right)}{5}+\frac{28 a \,b^{3} \left(\sinh^{3}\left(x \right)\right)}{15}+\frac{22 a^{2} b^{2} \left(\sinh^{2}\left(x \right)\right)}{15}+\frac{2 b^{4} \left(\sinh^{2}\left(x \right)\right)}{5}+\frac{28 a \,b^{3} \sinh \left(x \right)}{15}+\frac{22 a^{2} b^{2}}{15}}{b \cosh \left(x \right) \sqrt{a +b \sinh \left(x \right)}}"," ",0,"2/15*(8*I*(-(a+b*sinh(x))/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)*EllipticF((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*a^3*b+8*I*(-(a+b*sinh(x))/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)*EllipticF((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*a*b^3+15*(-(a+b*sinh(x))/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)*EllipticF((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*a^4+6*(-(a+b*sinh(x))/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)*EllipticF((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*a^2*b^2-9*(-(a+b*sinh(x))/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)*EllipticF((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*b^4-23*(-(a+b*sinh(x))/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)*EllipticE((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*a^4-14*(-(a+b*sinh(x))/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)*EllipticE((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*a^2*b^2+9*(-(a+b*sinh(x))/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)*EllipticE((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*b^4+3*b^4*sinh(x)^4+14*a*b^3*sinh(x)^3+11*a^2*b^2*sinh(x)^2+3*b^4*sinh(x)^2+14*a*b^3*sinh(x)+11*a^2*b^2)/b/cosh(x)/(a+b*sinh(x))^(1/2)","B"
106,1,676,178,0.125000," ","int((a+b*sinh(x))^(3/2),x)","\frac{\frac{2 i \sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \EllipticF \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) a^{2} b}{3}+\frac{2 i \sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \EllipticF \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) b^{3}}{3}+2 \sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \EllipticF \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) a^{3}+2 \sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \EllipticF \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) a \,b^{2}-\frac{8 \sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \EllipticE \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) a^{3}}{3}-\frac{8 \sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \EllipticE \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) a \,b^{2}}{3}+\frac{2 b^{3} \left(\sinh^{3}\left(x \right)\right)}{3}+\frac{2 a \,b^{2} \left(\sinh^{2}\left(x \right)\right)}{3}+\frac{2 b^{3} \sinh \left(x \right)}{3}+\frac{2 a \,b^{2}}{3}}{b \cosh \left(x \right) \sqrt{a +b \sinh \left(x \right)}}"," ",0,"2/3*(I*(-(a+b*sinh(x))/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)*EllipticF((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*a^2*b+I*(-(a+b*sinh(x))/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)*EllipticF((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*b^3+3*(-(a+b*sinh(x))/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)*EllipticF((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*a^3+3*(-(a+b*sinh(x))/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)*EllipticF((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*a*b^2-4*(-(a+b*sinh(x))/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)*EllipticE((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*a^3-4*(-(a+b*sinh(x))/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)*EllipticE((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*a*b^2+b^3*sinh(x)^3+a*b^2*sinh(x)^2+b^3*sinh(x)+a*b^2)/b/cosh(x)/(a+b*sinh(x))^(1/2)","B"
107,1,262,78,0.119000," ","int((a+b*sinh(x))^(1/2),x)","\frac{2 \left(i b -a \right) \sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \left(i \EllipticE \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) b -i \EllipticF \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) b +\EllipticE \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) a -a \EllipticF \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right)\right)}{b \cosh \left(x \right) \sqrt{a +b \sinh \left(x \right)}}"," ",0,"2/b*(I*b-a)*(-(a+b*sinh(x))/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)*(I*EllipticE((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*b-I*EllipticF((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*b+EllipticE((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*a-a*EllipticF((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2)))/cosh(x)/(a+b*sinh(x))^(1/2)","B"
108,1,125,78,0.101000," ","int(1/(a+b*sinh(x))^(1/2),x)","-\frac{2 \left(i b -a \right) \sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \EllipticF \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right)}{b \cosh \left(x \right) \sqrt{a +b \sinh \left(x \right)}}"," ",0,"-2*(I*b-a)*(-(a+b*sinh(x))/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)*EllipticF((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))/b/cosh(x)/(a+b*sinh(x))^(1/2)","A"
109,1,456,110,0.136000," ","int(1/(a+b*sinh(x))^(3/2),x)","\frac{2 \sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \EllipticF \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) a^{2}+2 \sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \EllipticF \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) b^{2}-2 \sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \EllipticE \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) a^{2}-2 \sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \EllipticE \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) b^{2}-2 b^{2} \left(\sinh^{2}\left(x \right)\right)-2 b^{2}}{\left(a^{2}+b^{2}\right) b \cosh \left(x \right) \sqrt{a +b \sinh \left(x \right)}}"," ",0,"2*((-(a+b*sinh(x))/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)*EllipticF((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*a^2+(-(a+b*sinh(x))/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)*EllipticF((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*b^2-(-(a+b*sinh(x))/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)*EllipticE((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*a^2-(-(a+b*sinh(x))/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)*EllipticE((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*b^2-b^2*sinh(x)^2-b^2)/(a^2+b^2)/b/cosh(x)/(a+b*sinh(x))^(1/2)","B"
110,1,438,221,0.234000," ","int(1/(a+b*sinh(x))^(5/2),x)","\frac{\sqrt{\left(a +b \sinh \left(x \right)\right) \left(\cosh^{2}\left(x \right)\right)}\, \left(-\frac{2 \sqrt{\left(a +b \sinh \left(x \right)\right) \left(\cosh^{2}\left(x \right)\right)}}{3 b \left(a^{2}+b^{2}\right) \left(\sinh \left(x \right)+\frac{a}{b}\right)^{2}}-\frac{8 b \left(\cosh^{2}\left(x \right)\right) a}{3 \left(a^{2}+b^{2}\right)^{2} \sqrt{\left(a +b \sinh \left(x \right)\right) \left(\cosh^{2}\left(x \right)\right)}}+\frac{2 \left(3 a^{2}-b^{2}\right) \left(\frac{a}{b}-i\right) \sqrt{\frac{-b \sinh \left(x \right)-a}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \EllipticF \left(\sqrt{\frac{-b \sinh \left(x \right)-a}{i b -a}}, \sqrt{\frac{-i b +a}{i b +a}}\right)}{\left(3 a^{4}+6 a^{2} b^{2}+3 b^{4}\right) \sqrt{\left(a +b \sinh \left(x \right)\right) \left(\cosh^{2}\left(x \right)\right)}}+\frac{8 a b \left(\frac{a}{b}-i\right) \sqrt{\frac{-b \sinh \left(x \right)-a}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \left(\left(-\frac{a}{b}-i\right) \EllipticE \left(\sqrt{\frac{-b \sinh \left(x \right)-a}{i b -a}}, \sqrt{\frac{-i b +a}{i b +a}}\right)+i \EllipticF \left(\sqrt{\frac{-b \sinh \left(x \right)-a}{i b -a}}, \sqrt{\frac{-i b +a}{i b +a}}\right)\right)}{3 \left(a^{2}+b^{2}\right)^{2} \sqrt{\left(a +b \sinh \left(x \right)\right) \left(\cosh^{2}\left(x \right)\right)}}\right)}{\cosh \left(x \right) \sqrt{a +b \sinh \left(x \right)}}"," ",0,"((a+b*sinh(x))*cosh(x)^2)^(1/2)*(-2/3/b/(a^2+b^2)*((a+b*sinh(x))*cosh(x)^2)^(1/2)/(sinh(x)+a/b)^2-8/3*b*cosh(x)^2/(a^2+b^2)^2*a/((a+b*sinh(x))*cosh(x)^2)^(1/2)+2*(3*a^2-b^2)/(3*a^4+6*a^2*b^2+3*b^4)*(a/b-I)*((-b*sinh(x)-a)/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)/((a+b*sinh(x))*cosh(x)^2)^(1/2)*EllipticF(((-b*sinh(x)-a)/(I*b-a))^(1/2),((a-I*b)/(I*b+a))^(1/2))+8/3*a*b/(a^2+b^2)^2*(a/b-I)*((-b*sinh(x)-a)/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)/((a+b*sinh(x))*cosh(x)^2)^(1/2)*((-a/b-I)*EllipticE(((-b*sinh(x)-a)/(I*b-a))^(1/2),((a-I*b)/(I*b+a))^(1/2))+I*EllipticF(((-b*sinh(x)-a)/(I*b-a))^(1/2),((a-I*b)/(I*b+a))^(1/2))))/cosh(x)/(a+b*sinh(x))^(1/2)","A"
111,1,218,164,0.122000," ","int(sinh(x)/(a+b*sinh(x))^(1/2),x)","\frac{2 \left(i b -a \right) \sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \left(i \EllipticE \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) b -i \EllipticF \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) b +\EllipticE \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) a \right)}{b^{2} \cosh \left(x \right) \sqrt{a +b \sinh \left(x \right)}}"," ",0,"2*(I*b-a)*(-(a+b*sinh(x))/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)*(I*EllipticE((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*b-I*EllipticF((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*b+EllipticE((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*a)/b^2/cosh(x)/(a+b*sinh(x))^(1/2)","A"
112,0,0,89,0.156000," ","int((a+I*a*sinh(x))^(5/2)*(A+B*sinh(x)),x)","\int \left(a +i a \sinh \left(x \right)\right)^{\frac{5}{2}} \left(A +B \sinh \left(x \right)\right)\, dx"," ",0,"int((a+I*a*sinh(x))^(5/2)*(A+B*sinh(x)),x)","F"
113,0,0,64,0.136000," ","int((a+I*a*sinh(x))^(3/2)*(A+B*sinh(x)),x)","\int \left(a +i a \sinh \left(x \right)\right)^{\frac{3}{2}} \left(A +B \sinh \left(x \right)\right)\, dx"," ",0,"int((a+I*a*sinh(x))^(3/2)*(A+B*sinh(x)),x)","F"
114,0,0,37,0.184000," ","int((a+I*a*sinh(x))^(1/2)*(A+B*sinh(x)),x)","\int \sqrt{a +i a \sinh \left(x \right)}\, \left(A +B \sinh \left(x \right)\right)\, dx"," ",0,"int((a+I*a*sinh(x))^(1/2)*(A+B*sinh(x)),x)","F"
115,1,46,21,0.043000," ","int((A+B*sinh(x))/(I+sinh(x)),x)","-\frac{2 B}{\tanh \left(\frac{x}{2}\right)+i}-\frac{2 i A}{\tanh \left(\frac{x}{2}\right)+i}-B \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)+B \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)"," ",0,"-2/(tanh(1/2*x)+I)*B-2*I/(tanh(1/2*x)+I)*A-B*ln(tanh(1/2*x)-1)+B*ln(tanh(1/2*x)+1)","B"
116,1,52,35,0.041000," ","int((A+B*sinh(x))/(I+sinh(x))^2,x)","-\frac{-2 i A -2 B}{\left(\tanh \left(\frac{x}{2}\right)+i\right)^{2}}-\frac{2 A}{\tanh \left(\frac{x}{2}\right)+i}-\frac{2 \left(2 i B -2 A \right)}{3 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{3}}"," ",0,"-(-2*I*A-2*B)/(tanh(1/2*x)+I)^2-2*A/(tanh(1/2*x)+I)-2/3*(2*I*B-2*A)/(tanh(1/2*x)+I)^3","A"
117,1,91,56,0.043000," ","int((A+B*sinh(x))/(I+sinh(x))^3,x)","\frac{2 i A}{\tanh \left(\frac{x}{2}\right)+i}-\frac{-8 i B +8 A}{2 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{4}}-\frac{2 i B -4 A}{\left(\tanh \left(\frac{x}{2}\right)+i\right)^{2}}-\frac{2 \left(-4 i A -4 B \right)}{5 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{5}}-\frac{2 \left(8 i A +6 B \right)}{3 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{3}}"," ",0,"2*I*A/(tanh(1/2*x)+I)-1/2*(8*A-8*I*B)/(tanh(1/2*x)+I)^4-(-4*A+2*I*B)/(tanh(1/2*x)+I)^2-2/5*(-4*I*A-4*B)/(tanh(1/2*x)+I)^5-2/3*(8*I*A+6*B)/(tanh(1/2*x)+I)^3","A"
118,1,128,75,0.052000," ","int((A+B*sinh(x))/(I+sinh(x))^4,x)","-\frac{24 i A +24 B}{3 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{6}}+\frac{2 A}{\tanh \left(\frac{x}{2}\right)+i}-\frac{-32 i A -24 B}{2 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{4}}-\frac{6 i A +2 B}{\left(\tanh \left(\frac{x}{2}\right)+i\right)^{2}}-\frac{2 \left(32 i B -36 A \right)}{5 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{5}}-\frac{2 \left(-10 i B +18 A \right)}{3 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{3}}-\frac{2 \left(-8 i B +8 A \right)}{7 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{7}}"," ",0,"-1/3*(24*I*A+24*B)/(tanh(1/2*x)+I)^6+2*A/(tanh(1/2*x)+I)-1/2*(-32*I*A-24*B)/(tanh(1/2*x)+I)^4-(6*I*A+2*B)/(tanh(1/2*x)+I)^2-2/5*(-36*A+32*I*B)/(tanh(1/2*x)+I)^5-2/3*(18*A-10*I*B)/(tanh(1/2*x)+I)^3-2/7*(8*A-8*I*B)/(tanh(1/2*x)+I)^7","A"
119,1,46,25,0.049000," ","int((A+B*sinh(x))/(I-sinh(x)),x)","B \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)+\frac{2 B}{\tanh \left(\frac{x}{2}\right)-i}-\frac{2 i A}{\tanh \left(\frac{x}{2}\right)-i}-B \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)"," ",0,"B*ln(tanh(1/2*x)-1)+2/(tanh(1/2*x)-I)*B-2*I/(tanh(1/2*x)-I)*A-B*ln(tanh(1/2*x)+1)","A"
120,1,52,41,0.048000," ","int((A+B*sinh(x))/(I-sinh(x))^2,x)","-\frac{2 A}{\tanh \left(\frac{x}{2}\right)-i}-\frac{2 i A -2 B}{\left(\tanh \left(\frac{x}{2}\right)-i\right)^{2}}-\frac{2 \left(-2 i B -2 A \right)}{3 \left(\tanh \left(\frac{x}{2}\right)-i\right)^{3}}"," ",0,"-2*A/(tanh(1/2*x)-I)-(2*I*A-2*B)/(tanh(1/2*x)-I)^2-2/3*(-2*I*B-2*A)/(tanh(1/2*x)-I)^3","A"
121,1,91,64,0.053000," ","int((A+B*sinh(x))/(I-sinh(x))^3,x)","-\frac{2 i B +4 A}{\left(\tanh \left(\frac{x}{2}\right)-i\right)^{2}}+\frac{2 i A}{\tanh \left(\frac{x}{2}\right)-i}-\frac{2 \left(-4 i A +4 B \right)}{5 \left(\tanh \left(\frac{x}{2}\right)-i\right)^{5}}-\frac{2 \left(8 i A -6 B \right)}{3 \left(\tanh \left(\frac{x}{2}\right)-i\right)^{3}}-\frac{-8 i B -8 A}{2 \left(\tanh \left(\frac{x}{2}\right)-i\right)^{4}}"," ",0,"-(4*A+2*I*B)/(tanh(1/2*x)-I)^2+2*I*A/(tanh(1/2*x)-I)-2/5*(-4*I*A+4*B)/(tanh(1/2*x)-I)^5-2/3*(8*I*A-6*B)/(tanh(1/2*x)-I)^3-1/2*(-8*A-8*I*B)/(tanh(1/2*x)-I)^4","A"
122,1,128,85,0.056000," ","int((A+B*sinh(x))/(I-sinh(x))^4,x)","-\frac{32 i A -24 B}{2 \left(\tanh \left(\frac{x}{2}\right)-i\right)^{4}}+\frac{2 A}{\tanh \left(\frac{x}{2}\right)-i}-\frac{2 \left(-32 i B -36 A \right)}{5 \left(\tanh \left(\frac{x}{2}\right)-i\right)^{5}}-\frac{-6 i A +2 B}{\left(\tanh \left(\frac{x}{2}\right)-i\right)^{2}}-\frac{2 \left(10 i B +18 A \right)}{3 \left(\tanh \left(\frac{x}{2}\right)-i\right)^{3}}-\frac{2 \left(8 i B +8 A \right)}{7 \left(\tanh \left(\frac{x}{2}\right)-i\right)^{7}}-\frac{-24 i A +24 B}{3 \left(\tanh \left(\frac{x}{2}\right)-i\right)^{6}}"," ",0,"-1/2*(32*I*A-24*B)/(tanh(1/2*x)-I)^4+2*A/(tanh(1/2*x)-I)-2/5*(-36*A-32*I*B)/(tanh(1/2*x)-I)^5-(-6*I*A+2*B)/(tanh(1/2*x)-I)^2-2/3*(18*A+10*I*B)/(tanh(1/2*x)-I)^3-2/7*(8*A+8*I*B)/(tanh(1/2*x)-I)^7-1/3*(-24*I*A+24*B)/(tanh(1/2*x)-I)^6","A"
123,0,0,52,0.148000," ","int((A+B*sinh(x))/(a+I*a*sinh(x))^(1/2),x)","\int \frac{A +B \sinh \left(x \right)}{\sqrt{a +i a \sinh \left(x \right)}}\, dx"," ",0,"int((A+B*sinh(x))/(a+I*a*sinh(x))^(1/2),x)","F"
124,0,0,60,0.116000," ","int((A+B*sinh(x))/(a+I*a*sinh(x))^(3/2),x)","\int \frac{A +B \sinh \left(x \right)}{\left(a +i a \sinh \left(x \right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int((A+B*sinh(x))/(a+I*a*sinh(x))^(3/2),x)","F"
125,0,0,85,0.128000," ","int((A+B*sinh(x))/(a+I*a*sinh(x))^(5/2),x)","\int \frac{A +B \sinh \left(x \right)}{\left(a +i a \sinh \left(x \right)\right)^{\frac{5}{2}}}\, dx"," ",0,"int((A+B*sinh(x))/(a+I*a*sinh(x))^(5/2),x)","F"
126,1,1893,279,0.164000," ","int((a+b*sinh(x))^(5/2)*(A+B*sinh(x)),x)","\frac{-\frac{6 A \sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \EllipticF \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) b^{5}}{5}+\frac{6 A \sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \EllipticE \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) b^{5}}{5}-\frac{2 B \sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \EllipticE \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) a^{5}}{7}+\frac{22 A \,a^{2} b^{3} \left(\sinh^{2}\left(x \right)\right)}{15}+\frac{28 A a \,b^{4} \sinh \left(x \right)}{15}+\frac{12 B \,a^{2} b^{3} \sinh \left(x \right)}{7}+\frac{2 A \,b^{5} \left(\sinh^{4}\left(x \right)\right)}{5}+\frac{2 B \,b^{5} \left(\sinh^{5}\left(x \right)\right)}{7}+\frac{16 i A \sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \EllipticF \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) a^{3} b^{2}}{15}-\frac{4 B \,b^{5} \left(\sinh^{3}\left(x \right)\right)}{21}+\frac{2 A \,b^{5} \left(\sinh^{2}\left(x \right)\right)}{5}-\frac{10 B \,b^{5} \sinh \left(x \right)}{21}+\frac{6 B \,a^{3} b^{2} \left(\sinh^{2}\left(x \right)\right)}{7}+\frac{2 B a \,b^{4} \left(\sinh^{2}\left(x \right)\right)}{3}+\frac{22 A \,a^{2} b^{3}}{15}+\frac{6 B \,a^{3} b^{2}}{7}-\frac{10 B a \,b^{4}}{21}+\frac{2 i B \sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \EllipticF \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) a^{4} b}{7}+2 A \sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \EllipticF \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) a^{4} b -\frac{46 A \sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \EllipticE \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) a^{4} b}{15}-\frac{28 A \sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \EllipticE \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) a^{2} b^{3}}{15}-\frac{16 B \sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \EllipticF \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) a^{3} b^{2}}{7}-\frac{16 B \sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \EllipticF \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) a \,b^{4}}{7}+\frac{52 B \sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \EllipticE \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) a^{3} b^{2}}{21}+\frac{58 B \sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \EllipticE \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) a \,b^{4}}{21}-\frac{10 i B \sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \EllipticF \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) b^{5}}{21}+\frac{4 A \sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \EllipticF \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) a^{2} b^{3}}{5}-\frac{4 i B \sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \EllipticF \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) a^{2} b^{3}}{21}+\frac{8 B a \,b^{4} \left(\sinh^{4}\left(x \right)\right)}{7}+\frac{28 A a \,b^{4} \left(\sinh^{3}\left(x \right)\right)}{15}+\frac{12 B \,a^{2} b^{3} \left(\sinh^{3}\left(x \right)\right)}{7}+\frac{16 i A \sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \EllipticF \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) a \,b^{4}}{15}}{b^{2} \cosh \left(x \right) \sqrt{a +b \sinh \left(x \right)}}"," ",0,"2/105*(-63*A*(-(a+b*sinh(x))/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)*EllipticF((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*b^5+63*A*(-(a+b*sinh(x))/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)*EllipticE((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*b^5-15*B*(-(a+b*sinh(x))/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)*EllipticE((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*a^5+77*A*a^2*b^3*sinh(x)^2+45*B*a^3*b^2*sinh(x)^2+35*B*a*b^4*sinh(x)^2+98*A*a*b^4*sinh(x)+90*B*a^2*b^3*sinh(x)+60*B*a*b^4*sinh(x)^4+98*A*a*b^4*sinh(x)^3+90*B*a^2*b^3*sinh(x)^3+56*I*A*(-(a+b*sinh(x))/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)*EllipticF((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*a*b^4+15*I*B*(-(a+b*sinh(x))/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)*EllipticF((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*a^4*b+105*A*(-(a+b*sinh(x))/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)*EllipticF((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*a^4*b-161*A*(-(a+b*sinh(x))/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)*EllipticE((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*a^4*b-98*A*(-(a+b*sinh(x))/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)*EllipticE((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*a^2*b^3-120*B*(-(a+b*sinh(x))/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)*EllipticF((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*a^3*b^2-120*B*(-(a+b*sinh(x))/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)*EllipticF((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*a*b^4+130*B*(-(a+b*sinh(x))/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)*EllipticE((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*a^3*b^2+15*B*b^5*sinh(x)^5+21*A*b^5*sinh(x)^4-10*B*b^5*sinh(x)^3+21*A*b^5*sinh(x)^2-25*B*b^5*sinh(x)+77*A*a^2*b^3+45*B*a^3*b^2-25*B*a*b^4+56*I*A*(-(a+b*sinh(x))/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)*EllipticF((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*a^3*b^2-10*I*B*(-(a+b*sinh(x))/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)*EllipticF((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*a^2*b^3+145*B*(-(a+b*sinh(x))/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)*EllipticE((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*a*b^4-25*I*B*(-(a+b*sinh(x))/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)*EllipticF((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*b^5+42*A*(-(a+b*sinh(x))/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)*EllipticF((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*a^2*b^3)/b^2/cosh(x)/(a+b*sinh(x))^(1/2)","B"
127,1,1037,231,0.314000," ","int((a+b*sinh(x))^(3/2)*(A+B*sinh(x)),x)","\frac{\sqrt{\left(a +b \sinh \left(x \right)\right) \left(\cosh^{2}\left(x \right)\right)}\, \left(B \,b^{2} \left(\frac{2 \sinh \left(x \right) \sqrt{\left(a +b \sinh \left(x \right)\right) \left(\cosh^{2}\left(x \right)\right)}}{5 b}-\frac{8 a \sqrt{\left(a +b \sinh \left(x \right)\right) \left(\cosh^{2}\left(x \right)\right)}}{15 b^{2}}-\frac{4 a \left(\frac{a}{b}-i\right) \sqrt{\frac{-b \sinh \left(x \right)-a}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \EllipticF \left(\sqrt{\frac{-b \sinh \left(x \right)-a}{i b -a}}, \sqrt{\frac{-i b +a}{i b +a}}\right)}{15 b \sqrt{\left(a +b \sinh \left(x \right)\right) \left(\cosh^{2}\left(x \right)\right)}}+\frac{2 \left(-\frac{3}{5}+\frac{8 a^{2}}{15 b^{2}}\right) \left(\frac{a}{b}-i\right) \sqrt{\frac{-b \sinh \left(x \right)-a}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \left(\left(-\frac{a}{b}-i\right) \EllipticE \left(\sqrt{\frac{-b \sinh \left(x \right)-a}{i b -a}}, \sqrt{\frac{-i b +a}{i b +a}}\right)+i \EllipticF \left(\sqrt{\frac{-b \sinh \left(x \right)-a}{i b -a}}, \sqrt{\frac{-i b +a}{i b +a}}\right)\right)}{\sqrt{\left(a +b \sinh \left(x \right)\right) \left(\cosh^{2}\left(x \right)\right)}}\right)+\left(A \,b^{2}+2 b B a \right) \left(\frac{2 \sqrt{\left(a +b \sinh \left(x \right)\right) \left(\cosh^{2}\left(x \right)\right)}}{3 b}-\frac{2 \left(\frac{a}{b}-i\right) \sqrt{\frac{-b \sinh \left(x \right)-a}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \EllipticF \left(\sqrt{\frac{-b \sinh \left(x \right)-a}{i b -a}}, \sqrt{\frac{-i b +a}{i b +a}}\right)}{3 \sqrt{\left(a +b \sinh \left(x \right)\right) \left(\cosh^{2}\left(x \right)\right)}}-\frac{4 a \left(\frac{a}{b}-i\right) \sqrt{\frac{-b \sinh \left(x \right)-a}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \left(\left(-\frac{a}{b}-i\right) \EllipticE \left(\sqrt{\frac{-b \sinh \left(x \right)-a}{i b -a}}, \sqrt{\frac{-i b +a}{i b +a}}\right)+i \EllipticF \left(\sqrt{\frac{-b \sinh \left(x \right)-a}{i b -a}}, \sqrt{\frac{-i b +a}{i b +a}}\right)\right)}{3 b \sqrt{\left(a +b \sinh \left(x \right)\right) \left(\cosh^{2}\left(x \right)\right)}}\right)+\frac{2 \left(2 A a b +B \,a^{2}\right) \left(\frac{a}{b}-i\right) \sqrt{\frac{-b \sinh \left(x \right)-a}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \left(\left(-\frac{a}{b}-i\right) \EllipticE \left(\sqrt{\frac{-b \sinh \left(x \right)-a}{i b -a}}, \sqrt{\frac{-i b +a}{i b +a}}\right)+i \EllipticF \left(\sqrt{\frac{-b \sinh \left(x \right)-a}{i b -a}}, \sqrt{\frac{-i b +a}{i b +a}}\right)\right)}{\sqrt{\left(a +b \sinh \left(x \right)\right) \left(\cosh^{2}\left(x \right)\right)}}+\frac{2 a^{2} A \left(\frac{a}{b}-i\right) \sqrt{\frac{-b \sinh \left(x \right)-a}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \EllipticF \left(\sqrt{\frac{-b \sinh \left(x \right)-a}{i b -a}}, \sqrt{\frac{-i b +a}{i b +a}}\right)}{\sqrt{\left(a +b \sinh \left(x \right)\right) \left(\cosh^{2}\left(x \right)\right)}}\right)}{\cosh \left(x \right) \sqrt{a +b \sinh \left(x \right)}}"," ",0,"((a+b*sinh(x))*cosh(x)^2)^(1/2)*(B*b^2*(2/5/b*sinh(x)*((a+b*sinh(x))*cosh(x)^2)^(1/2)-8/15*a/b^2*((a+b*sinh(x))*cosh(x)^2)^(1/2)-4/15*a/b*(a/b-I)*((-b*sinh(x)-a)/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)/((a+b*sinh(x))*cosh(x)^2)^(1/2)*EllipticF(((-b*sinh(x)-a)/(I*b-a))^(1/2),((a-I*b)/(I*b+a))^(1/2))+2*(-3/5+8/15*a^2/b^2)*(a/b-I)*((-b*sinh(x)-a)/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)/((a+b*sinh(x))*cosh(x)^2)^(1/2)*((-a/b-I)*EllipticE(((-b*sinh(x)-a)/(I*b-a))^(1/2),((a-I*b)/(I*b+a))^(1/2))+I*EllipticF(((-b*sinh(x)-a)/(I*b-a))^(1/2),((a-I*b)/(I*b+a))^(1/2))))+(A*b^2+2*B*a*b)*(2/3/b*((a+b*sinh(x))*cosh(x)^2)^(1/2)-2/3*(a/b-I)*((-b*sinh(x)-a)/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)/((a+b*sinh(x))*cosh(x)^2)^(1/2)*EllipticF(((-b*sinh(x)-a)/(I*b-a))^(1/2),((a-I*b)/(I*b+a))^(1/2))-4/3*a/b*(a/b-I)*((-b*sinh(x)-a)/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)/((a+b*sinh(x))*cosh(x)^2)^(1/2)*((-a/b-I)*EllipticE(((-b*sinh(x)-a)/(I*b-a))^(1/2),((a-I*b)/(I*b+a))^(1/2))+I*EllipticF(((-b*sinh(x)-a)/(I*b-a))^(1/2),((a-I*b)/(I*b+a))^(1/2))))+2*(2*A*a*b+B*a^2)*(a/b-I)*((-b*sinh(x)-a)/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)/((a+b*sinh(x))*cosh(x)^2)^(1/2)*((-a/b-I)*EllipticE(((-b*sinh(x)-a)/(I*b-a))^(1/2),((a-I*b)/(I*b+a))^(1/2))+I*EllipticF(((-b*sinh(x)-a)/(I*b-a))^(1/2),((a-I*b)/(I*b+a))^(1/2)))+2*a^2*A*(a/b-I)*((-b*sinh(x)-a)/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)/((a+b*sinh(x))*cosh(x)^2)^(1/2)*EllipticF(((-b*sinh(x)-a)/(I*b-a))^(1/2),((a-I*b)/(I*b+a))^(1/2)))/cosh(x)/(a+b*sinh(x))^(1/2)","B"
128,1,897,192,0.141000," ","int((a+b*sinh(x))^(1/2)*(A+B*sinh(x)),x)","\frac{\frac{2 i B \sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \EllipticF \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) a^{2} b}{3}+\frac{2 i B \sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \EllipticF \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) b^{3}}{3}+2 A \sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \EllipticF \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) a^{2} b +2 A \sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \EllipticF \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) b^{3}-2 A \sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \EllipticE \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) a^{2} b -2 A \sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \EllipticE \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) b^{3}-\frac{2 B \sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \EllipticE \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) a^{3}}{3}-\frac{2 B \sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \EllipticE \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) a \,b^{2}}{3}+\frac{2 B \,b^{3} \left(\sinh^{3}\left(x \right)\right)}{3}+\frac{2 B a \,b^{2} \left(\sinh^{2}\left(x \right)\right)}{3}+\frac{2 B \,b^{3} \sinh \left(x \right)}{3}+\frac{2 B a \,b^{2}}{3}}{b^{2} \cosh \left(x \right) \sqrt{a +b \sinh \left(x \right)}}"," ",0,"2/3*(I*B*(-(a+b*sinh(x))/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)*EllipticF((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*a^2*b+I*B*(-(a+b*sinh(x))/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)*EllipticF((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*b^3+3*A*(-(a+b*sinh(x))/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)*EllipticF((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*a^2*b+3*A*(-(a+b*sinh(x))/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)*EllipticF((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*b^3-3*A*(-(a+b*sinh(x))/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)*EllipticE((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*a^2*b-3*A*(-(a+b*sinh(x))/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)*EllipticE((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*b^3-B*(-(a+b*sinh(x))/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)*EllipticE((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*a^3-B*(-(a+b*sinh(x))/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)*EllipticE((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*a*b^2+B*b^3*sinh(x)^3+B*a*b^2*sinh(x)^2+B*b^3*sinh(x)+B*a*b^2)/b^2/cosh(x)/(a+b*sinh(x))^(1/2)","B"
129,1,101,49,0.032000," ","int((A+B*sinh(x))/(a+b*sinh(x)),x)","\frac{2 \arctanh \left(\frac{2 a \tanh \left(\frac{x}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right) A}{\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) a B}{b \sqrt{a^{2}+b^{2}}}-\frac{B \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{b}+\frac{B \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{b}"," ",0,"2/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))*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))*a*B-B/b*ln(tanh(1/2*x)-1)+B/b*ln(tanh(1/2*x)+1)","B"
130,1,113,68,0.044000," ","int((A+B*sinh(x))/(a+b*sinh(x))^2,x)","-\frac{2 \left(-\frac{b \left(A b -a B \right) \tanh \left(\frac{x}{2}\right)}{a \left(a^{2}+b^{2}\right)}-\frac{A b -a B}{a^{2}+b^{2}}\right)}{a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a}+\frac{2 \left(A a +b B \right) \arctanh \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*(A*b-B*a)/a/(a^2+b^2)*tanh(1/2*x)-(A*b-B*a)/(a^2+b^2))/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)+2*(A*a+B*b)/(a^2+b^2)^(3/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))","A"
131,1,314,118,0.055000," ","int((A+B*sinh(x))/(a+b*sinh(x))^3,x)","-\frac{2 \left(-\frac{b \left(5 A \,a^{2} b +2 A \,b^{3}-3 a^{3} B \right) \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{2 a \left(a^{4}+2 a^{2} b^{2}+b^{4}\right)}-\frac{\left(4 A \,a^{4} b -7 A \,a^{2} b^{3}-2 A \,b^{5}-2 B \,a^{5}+5 B \,a^{3} b^{2}-2 B a \,b^{4}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{2 \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) a^{2}}+\frac{b \left(11 A \,a^{2} b +2 A \,b^{3}-5 a^{3} B +4 B a \,b^{2}\right) \tanh \left(\frac{x}{2}\right)}{2 \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) a}+\frac{4 A \,a^{2} b +A \,b^{3}-2 a^{3} B +B a \,b^{2}}{2 a^{4}+4 a^{2} b^{2}+2 b^{4}}\right)}{\left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)^{2}}+\frac{\left(2 a^{2} A -A \,b^{2}+3 b B a \right) \arctanh \left(\frac{2 a \tanh \left(\frac{x}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \sqrt{a^{2}+b^{2}}}"," ",0,"-2*(-1/2*b*(5*A*a^2*b+2*A*b^3-3*B*a^3)/a/(a^4+2*a^2*b^2+b^4)*tanh(1/2*x)^3-1/2*(4*A*a^4*b-7*A*a^2*b^3-2*A*b^5-2*B*a^5+5*B*a^3*b^2-2*B*a*b^4)/(a^4+2*a^2*b^2+b^4)/a^2*tanh(1/2*x)^2+1/2*b*(11*A*a^2*b+2*A*b^3-5*B*a^3+4*B*a*b^2)/(a^4+2*a^2*b^2+b^4)/a*tanh(1/2*x)+1/2*(4*A*a^2*b+A*b^3-2*B*a^3+B*a*b^2)/(a^4+2*a^2*b^2+b^4))/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)^2+(2*A*a^2-A*b^2+3*B*a*b)/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))","B"
132,1,633,175,0.063000," ","int((A+B*sinh(x))/(a+b*sinh(x))^4,x)","-\frac{2 \left(-\frac{b \left(9 A \,a^{4} b +6 A \,a^{2} b^{3}+2 A \,b^{5}-4 B \,a^{5}+B \,a^{3} b^{2}\right) \left(\tanh^{5}\left(\frac{x}{2}\right)\right)}{2 a \left(a^{6}+3 a^{4} b^{2}+3 a^{2} b^{4}+b^{6}\right)}-\frac{\left(6 A \,a^{6} b -27 A \,a^{4} b^{3}-12 A \,a^{2} b^{5}-4 A \,b^{7}-2 B \,a^{7}+14 B \,a^{5} b^{2}-11 B \,a^{3} b^{4}-2 B a \,b^{6}\right) \left(\tanh^{4}\left(\frac{x}{2}\right)\right)}{2 \left(a^{6}+3 a^{4} b^{2}+3 a^{2} b^{4}+b^{6}\right) a^{2}}+\frac{b \left(54 A \,a^{6} b -21 A \,a^{4} b^{3}-4 A \,a^{2} b^{5}-4 A \,b^{7}-18 B \,a^{7}+42 B \,a^{5} b^{2}-17 B \,a^{3} b^{4}-2 B a \,b^{6}\right) \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{3 a^{3} \left(a^{6}+3 a^{4} b^{2}+3 a^{2} b^{4}+b^{6}\right)}+\frac{\left(6 A \,a^{6} b -20 A \,a^{4} b^{3}-3 A \,a^{2} b^{5}-2 A \,b^{7}-2 B \,a^{7}+10 B \,a^{5} b^{2}-14 B \,a^{3} b^{4}-B a \,b^{6}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{a^{2} \left(a^{6}+3 a^{4} b^{2}+3 a^{2} b^{4}+b^{6}\right)}-\frac{b \left(27 A \,a^{4} b +4 A \,a^{2} b^{3}+2 A \,b^{5}-8 B \,a^{5}+19 B \,a^{3} b^{2}+2 B a \,b^{4}\right) \tanh \left(\frac{x}{2}\right)}{2 a \left(a^{6}+3 a^{4} b^{2}+3 a^{2} b^{4}+b^{6}\right)}-\frac{18 A \,a^{4} b +5 A \,a^{2} b^{3}+2 A \,b^{5}-6 B \,a^{5}+10 B \,a^{3} b^{2}+B a \,b^{4}}{6 \left(a^{6}+3 a^{4} b^{2}+3 a^{2} b^{4}+b^{6}\right)}\right)}{\left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)^{3}}+\frac{\left(2 a^{3} A -3 A a \,b^{2}+4 B \,a^{2} b -B \,b^{3}\right) \arctanh \left(\frac{2 a \tanh \left(\frac{x}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{\left(a^{6}+3 a^{4} b^{2}+3 a^{2} b^{4}+b^{6}\right) \sqrt{a^{2}+b^{2}}}"," ",0,"-2*(-1/2*b*(9*A*a^4*b+6*A*a^2*b^3+2*A*b^5-4*B*a^5+B*a^3*b^2)/a/(a^6+3*a^4*b^2+3*a^2*b^4+b^6)*tanh(1/2*x)^5-1/2*(6*A*a^6*b-27*A*a^4*b^3-12*A*a^2*b^5-4*A*b^7-2*B*a^7+14*B*a^5*b^2-11*B*a^3*b^4-2*B*a*b^6)/(a^6+3*a^4*b^2+3*a^2*b^4+b^6)/a^2*tanh(1/2*x)^4+1/3/a^3*b*(54*A*a^6*b-21*A*a^4*b^3-4*A*a^2*b^5-4*A*b^7-18*B*a^7+42*B*a^5*b^2-17*B*a^3*b^4-2*B*a*b^6)/(a^6+3*a^4*b^2+3*a^2*b^4+b^6)*tanh(1/2*x)^3+1/a^2*(6*A*a^6*b-20*A*a^4*b^3-3*A*a^2*b^5-2*A*b^7-2*B*a^7+10*B*a^5*b^2-14*B*a^3*b^4-B*a*b^6)/(a^6+3*a^4*b^2+3*a^2*b^4+b^6)*tanh(1/2*x)^2-1/2/a*b*(27*A*a^4*b+4*A*a^2*b^3+2*A*b^5-8*B*a^5+19*B*a^3*b^2+2*B*a*b^4)/(a^6+3*a^4*b^2+3*a^2*b^4+b^6)*tanh(1/2*x)-1/6*(18*A*a^4*b+5*A*a^2*b^3+2*A*b^5-6*B*a^5+10*B*a^3*b^2+B*a*b^4)/(a^6+3*a^4*b^2+3*a^2*b^4+b^6))/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)^3+(2*A*a^3-3*A*a*b^2+4*B*a^2*b-B*b^3)/(a^6+3*a^4*b^2+3*a^2*b^4+b^6)/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))","B"
133,1,105,54,0.038000," ","int((b*B/a+B*sinh(x))/(a+b*sinh(x)),x)","-\frac{2 \arctanh \left(\frac{2 a \tanh \left(\frac{x}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right) a B}{b \sqrt{a^{2}+b^{2}}}+\frac{2 B b \arctanh \left(\frac{2 a \tanh \left(\frac{x}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{a \sqrt{a^{2}+b^{2}}}-\frac{B \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{b}+\frac{B \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{b}"," ",0,"-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))*a*B+2*B/a*b/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))-B/b*ln(tanh(1/2*x)-1)+B/b*ln(tanh(1/2*x)+1)","A"
134,1,7,6,0.000000," ","int((a*B/b+B*sinh(x))/(a+b*sinh(x)),x)","\frac{B x}{b}"," ",0,"B*x/b","A"
135,1,36,12,0.049000," ","int((a-b*sinh(x))/(b+a*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"
136,1,37,28,0.030000," ","int((2-sinh(x))/(2+sinh(x)),x)","\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)-\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)+\frac{8 \sqrt{5}\, \arctanh \left(\frac{\left(2 \tanh \left(\frac{x}{2}\right)-1\right) \sqrt{5}}{5}\right)}{5}"," ",0,"ln(tanh(1/2*x)-1)-ln(tanh(1/2*x)+1)+8/5*5^(1/2)*arctanh(1/5*(2*tanh(1/2*x)-1)*5^(1/2))","A"
137,1,266,172,0.142000," ","int((A+B*sinh(x))/(a+b*sinh(x))^(1/2),x)","-\frac{2 \left(i b -a \right) \sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \left(-i B \EllipticE \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) b +i B \EllipticF \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) b +A \EllipticF \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) b -B \EllipticE \left(\sqrt{-\frac{a +b \sinh \left(x \right)}{i b -a}}, \sqrt{-\frac{i b -a}{i b +a}}\right) a \right)}{b^{2} \cosh \left(x \right) \sqrt{a +b \sinh \left(x \right)}}"," ",0,"-2*(I*b-a)*(-(a+b*sinh(x))/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)*(-I*B*EllipticE((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*b+I*B*EllipticF((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*b+A*EllipticF((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*b-B*EllipticE((-(a+b*sinh(x))/(I*b-a))^(1/2),(-(I*b-a)/(I*b+a))^(1/2))*a)/b^2/cosh(x)/(a+b*sinh(x))^(1/2)","A"
138,1,517,210,0.240000," ","int((A+B*sinh(x))/(a+b*sinh(x))^(3/2),x)","\frac{\sqrt{\left(a +b \sinh \left(x \right)\right) \left(\cosh^{2}\left(x \right)\right)}\, \left(\frac{2 B \left(\frac{a}{b}-i\right) \sqrt{\frac{-b \sinh \left(x \right)-a}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \EllipticF \left(\sqrt{\frac{-b \sinh \left(x \right)-a}{i b -a}}, \sqrt{\frac{-i b +a}{i b +a}}\right)}{b \sqrt{\left(a +b \sinh \left(x \right)\right) \left(\cosh^{2}\left(x \right)\right)}}+\frac{\left(A b -a B \right) \left(-\frac{2 b \left(\cosh^{2}\left(x \right)\right)}{\left(a^{2}+b^{2}\right) \sqrt{\left(a +b \sinh \left(x \right)\right) \left(\cosh^{2}\left(x \right)\right)}}+\frac{2 a \left(\frac{a}{b}-i\right) \sqrt{\frac{-b \sinh \left(x \right)-a}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \EllipticF \left(\sqrt{\frac{-b \sinh \left(x \right)-a}{i b -a}}, \sqrt{\frac{-i b +a}{i b +a}}\right)}{\left(a^{2}+b^{2}\right) \sqrt{\left(a +b \sinh \left(x \right)\right) \left(\cosh^{2}\left(x \right)\right)}}+\frac{2 b \left(\frac{a}{b}-i\right) \sqrt{\frac{-b \sinh \left(x \right)-a}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \left(\left(-\frac{a}{b}-i\right) \EllipticE \left(\sqrt{\frac{-b \sinh \left(x \right)-a}{i b -a}}, \sqrt{\frac{-i b +a}{i b +a}}\right)+i \EllipticF \left(\sqrt{\frac{-b \sinh \left(x \right)-a}{i b -a}}, \sqrt{\frac{-i b +a}{i b +a}}\right)\right)}{\left(a^{2}+b^{2}\right) \sqrt{\left(a +b \sinh \left(x \right)\right) \left(\cosh^{2}\left(x \right)\right)}}\right)}{b}\right)}{\cosh \left(x \right) \sqrt{a +b \sinh \left(x \right)}}"," ",0,"((a+b*sinh(x))*cosh(x)^2)^(1/2)*(2*B/b*(a/b-I)*((-b*sinh(x)-a)/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)/((a+b*sinh(x))*cosh(x)^2)^(1/2)*EllipticF(((-b*sinh(x)-a)/(I*b-a))^(1/2),((a-I*b)/(I*b+a))^(1/2))+(A*b-B*a)/b*(-2*b*cosh(x)^2/(a^2+b^2)/((a+b*sinh(x))*cosh(x)^2)^(1/2)+2*a/(a^2+b^2)*(a/b-I)*((-b*sinh(x)-a)/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)/((a+b*sinh(x))*cosh(x)^2)^(1/2)*EllipticF(((-b*sinh(x)-a)/(I*b-a))^(1/2),((a-I*b)/(I*b+a))^(1/2))+2*b/(a^2+b^2)*(a/b-I)*((-b*sinh(x)-a)/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)/((a+b*sinh(x))*cosh(x)^2)^(1/2)*((-a/b-I)*EllipticE(((-b*sinh(x)-a)/(I*b-a))^(1/2),((a-I*b)/(I*b+a))^(1/2))+I*EllipticF(((-b*sinh(x)-a)/(I*b-a))^(1/2),((a-I*b)/(I*b+a))^(1/2)))))/cosh(x)/(a+b*sinh(x))^(1/2)","B"
139,1,806,275,0.349000," ","int((A+B*sinh(x))/(a+b*sinh(x))^(5/2),x)","\frac{\sqrt{\left(a +b \sinh \left(x \right)\right) \left(\cosh^{2}\left(x \right)\right)}\, \left(\frac{B \left(-\frac{2 b \left(\cosh^{2}\left(x \right)\right)}{\left(a^{2}+b^{2}\right) \sqrt{\left(a +b \sinh \left(x \right)\right) \left(\cosh^{2}\left(x \right)\right)}}+\frac{2 a \left(\frac{a}{b}-i\right) \sqrt{\frac{-b \sinh \left(x \right)-a}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \EllipticF \left(\sqrt{\frac{-b \sinh \left(x \right)-a}{i b -a}}, \sqrt{\frac{-i b +a}{i b +a}}\right)}{\left(a^{2}+b^{2}\right) \sqrt{\left(a +b \sinh \left(x \right)\right) \left(\cosh^{2}\left(x \right)\right)}}+\frac{2 b \left(\frac{a}{b}-i\right) \sqrt{\frac{-b \sinh \left(x \right)-a}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \left(\left(-\frac{a}{b}-i\right) \EllipticE \left(\sqrt{\frac{-b \sinh \left(x \right)-a}{i b -a}}, \sqrt{\frac{-i b +a}{i b +a}}\right)+i \EllipticF \left(\sqrt{\frac{-b \sinh \left(x \right)-a}{i b -a}}, \sqrt{\frac{-i b +a}{i b +a}}\right)\right)}{\left(a^{2}+b^{2}\right) \sqrt{\left(a +b \sinh \left(x \right)\right) \left(\cosh^{2}\left(x \right)\right)}}\right)}{b}+\frac{\left(A b -a B \right) \left(-\frac{2 \sqrt{\left(a +b \sinh \left(x \right)\right) \left(\cosh^{2}\left(x \right)\right)}}{3 b \left(a^{2}+b^{2}\right) \left(\sinh \left(x \right)+\frac{a}{b}\right)^{2}}-\frac{8 b \left(\cosh^{2}\left(x \right)\right) a}{3 \left(a^{2}+b^{2}\right)^{2} \sqrt{\left(a +b \sinh \left(x \right)\right) \left(\cosh^{2}\left(x \right)\right)}}+\frac{2 \left(3 a^{2}-b^{2}\right) \left(\frac{a}{b}-i\right) \sqrt{\frac{-b \sinh \left(x \right)-a}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \EllipticF \left(\sqrt{\frac{-b \sinh \left(x \right)-a}{i b -a}}, \sqrt{\frac{-i b +a}{i b +a}}\right)}{\left(3 a^{4}+6 a^{2} b^{2}+3 b^{4}\right) \sqrt{\left(a +b \sinh \left(x \right)\right) \left(\cosh^{2}\left(x \right)\right)}}+\frac{8 a b \left(\frac{a}{b}-i\right) \sqrt{\frac{-b \sinh \left(x \right)-a}{i b -a}}\, \sqrt{\frac{\left(i-\sinh \left(x \right)\right) b}{i b +a}}\, \sqrt{\frac{\left(i+\sinh \left(x \right)\right) b}{i b -a}}\, \left(\left(-\frac{a}{b}-i\right) \EllipticE \left(\sqrt{\frac{-b \sinh \left(x \right)-a}{i b -a}}, \sqrt{\frac{-i b +a}{i b +a}}\right)+i \EllipticF \left(\sqrt{\frac{-b \sinh \left(x \right)-a}{i b -a}}, \sqrt{\frac{-i b +a}{i b +a}}\right)\right)}{3 \left(a^{2}+b^{2}\right)^{2} \sqrt{\left(a +b \sinh \left(x \right)\right) \left(\cosh^{2}\left(x \right)\right)}}\right)}{b}\right)}{\cosh \left(x \right) \sqrt{a +b \sinh \left(x \right)}}"," ",0,"((a+b*sinh(x))*cosh(x)^2)^(1/2)*(B/b*(-2*b*cosh(x)^2/(a^2+b^2)/((a+b*sinh(x))*cosh(x)^2)^(1/2)+2*a/(a^2+b^2)*(a/b-I)*((-b*sinh(x)-a)/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)/((a+b*sinh(x))*cosh(x)^2)^(1/2)*EllipticF(((-b*sinh(x)-a)/(I*b-a))^(1/2),((a-I*b)/(I*b+a))^(1/2))+2*b/(a^2+b^2)*(a/b-I)*((-b*sinh(x)-a)/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)/((a+b*sinh(x))*cosh(x)^2)^(1/2)*((-a/b-I)*EllipticE(((-b*sinh(x)-a)/(I*b-a))^(1/2),((a-I*b)/(I*b+a))^(1/2))+I*EllipticF(((-b*sinh(x)-a)/(I*b-a))^(1/2),((a-I*b)/(I*b+a))^(1/2))))+(A*b-B*a)/b*(-2/3/b/(a^2+b^2)*((a+b*sinh(x))*cosh(x)^2)^(1/2)/(sinh(x)+a/b)^2-8/3*b*cosh(x)^2/(a^2+b^2)^2*a/((a+b*sinh(x))*cosh(x)^2)^(1/2)+2*(3*a^2-b^2)/(3*a^4+6*a^2*b^2+3*b^4)*(a/b-I)*((-b*sinh(x)-a)/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)/((a+b*sinh(x))*cosh(x)^2)^(1/2)*EllipticF(((-b*sinh(x)-a)/(I*b-a))^(1/2),((a-I*b)/(I*b+a))^(1/2))+8/3*a*b/(a^2+b^2)^2*(a/b-I)*((-b*sinh(x)-a)/(I*b-a))^(1/2)*((I-sinh(x))*b/(I*b+a))^(1/2)*((I+sinh(x))*b/(I*b-a))^(1/2)/((a+b*sinh(x))*cosh(x)^2)^(1/2)*((-a/b-I)*EllipticE(((-b*sinh(x)-a)/(I*b-a))^(1/2),((a-I*b)/(I*b+a))^(1/2))+I*EllipticF(((-b*sinh(x)-a)/(I*b-a))^(1/2),((a-I*b)/(I*b+a))^(1/2)))))/cosh(x)/(a+b*sinh(x))^(1/2)","B"
140,1,32,41,0.070000," ","int((a*sinh(x)^2)^(5/2),x)","\frac{a^{3} \sinh \left(x \right) \cosh \left(x \right) \left(3 \left(\sinh^{4}\left(x \right)\right)-4 \left(\sinh^{2}\left(x \right)\right)+8\right)}{15 \sqrt{a \left(\sinh^{2}\left(x \right)\right)}}"," ",0,"1/15*a^3*sinh(x)*cosh(x)*(3*sinh(x)^4-4*sinh(x)^2+8)/(a*sinh(x)^2)^(1/2)","A"
141,1,24,26,0.059000," ","int((a*sinh(x)^2)^(3/2),x)","\frac{a^{2} \sinh \left(x \right) \cosh \left(x \right) \left(\sinh^{2}\left(x \right)-2\right)}{3 \sqrt{a \left(\sinh^{2}\left(x \right)\right)}}"," ",0,"1/3*a^2*sinh(x)*cosh(x)*(sinh(x)^2-2)/(a*sinh(x)^2)^(1/2)","A"
142,1,15,11,0.050000," ","int((a*sinh(x)^2)^(1/2),x)","\frac{a \sinh \left(x \right) \cosh \left(x \right)}{\sqrt{a \left(\sinh^{2}\left(x \right)\right)}}"," ",0,"1/(a*sinh(x)^2)^(1/2)*a*sinh(x)*cosh(x)","A"
143,1,49,15,0.075000," ","int(1/(a*sinh(x)^2)^(1/2),x)","-\frac{\sinh \left(x \right) \sqrt{a \left(\cosh^{2}\left(x \right)\right)}\, \ln \left(\frac{2 \sqrt{a}\, \sqrt{a \left(\cosh^{2}\left(x \right)\right)}+2 a}{\sinh \left(x \right)}\right)}{\sqrt{a}\, \cosh \left(x \right) \sqrt{a \left(\sinh^{2}\left(x \right)\right)}}"," ",0,"-sinh(x)*(a*cosh(x)^2)^(1/2)/a^(1/2)*ln(2*(a^(1/2)*(a*cosh(x)^2)^(1/2)+a)/sinh(x))/cosh(x)/(a*sinh(x)^2)^(1/2)","B"
144,1,71,34,0.080000," ","int(1/(a*sinh(x)^2)^(3/2),x)","-\frac{\sqrt{a \left(\cosh^{2}\left(x \right)\right)}\, \left(-\ln \left(\frac{2 \sqrt{a}\, \sqrt{a \left(\cosh^{2}\left(x \right)\right)}+2 a}{\sinh \left(x \right)}\right) a \left(\sinh^{2}\left(x \right)\right)+\sqrt{a}\, \sqrt{a \left(\cosh^{2}\left(x \right)\right)}\right)}{2 a^{\frac{5}{2}} \sinh \left(x \right) \cosh \left(x \right) \sqrt{a \left(\sinh^{2}\left(x \right)\right)}}"," ",0,"-1/2/a^(5/2)/sinh(x)*(a*cosh(x)^2)^(1/2)*(-ln(2*(a^(1/2)*(a*cosh(x)^2)^(1/2)+a)/sinh(x))*a*sinh(x)^2+a^(1/2)*(a*cosh(x)^2)^(1/2))/cosh(x)/(a*sinh(x)^2)^(1/2)","B"
145,1,89,49,0.099000," ","int(1/(a*sinh(x)^2)^(5/2),x)","\frac{\sqrt{a \left(\cosh^{2}\left(x \right)\right)}\, \left(-3 \ln \left(\frac{2 \sqrt{a}\, \sqrt{a \left(\cosh^{2}\left(x \right)\right)}+2 a}{\sinh \left(x \right)}\right) a \left(\sinh^{4}\left(x \right)\right)+3 \sqrt{a \left(\cosh^{2}\left(x \right)\right)}\, \left(\sinh^{2}\left(x \right)\right) \sqrt{a}-2 \sqrt{a}\, \sqrt{a \left(\cosh^{2}\left(x \right)\right)}\right)}{8 a^{\frac{7}{2}} \sinh \left(x \right)^{3} \cosh \left(x \right) \sqrt{a \left(\sinh^{2}\left(x \right)\right)}}"," ",0,"1/8/a^(7/2)/sinh(x)^3*(a*cosh(x)^2)^(1/2)*(-3*ln(2*(a^(1/2)*(a*cosh(x)^2)^(1/2)+a)/sinh(x))*a*sinh(x)^4+3*(a*cosh(x)^2)^(1/2)*sinh(x)^2*a^(1/2)-2*a^(1/2)*(a*cosh(x)^2)^(1/2))/cosh(x)/(a*sinh(x)^2)^(1/2)","A"
146,0,0,133,0.114000," ","int((a*sinh(x)^3)^(5/2),x)","\int \left(a \left(\sinh^{3}\left(x \right)\right)\right)^{\frac{5}{2}}\, dx"," ",0,"int((a*sinh(x)^3)^(5/2),x)","F"
147,0,0,89,0.092000," ","int((a*sinh(x)^3)^(3/2),x)","\int \left(a \left(\sinh^{3}\left(x \right)\right)\right)^{\frac{3}{2}}\, dx"," ",0,"int((a*sinh(x)^3)^(3/2),x)","F"
148,0,0,72,0.097000," ","int((a*sinh(x)^3)^(1/2),x)","\int \sqrt{a \left(\sinh^{3}\left(x \right)\right)}\, dx"," ",0,"int((a*sinh(x)^3)^(1/2),x)","F"
149,0,0,74,0.098000," ","int(1/(a*sinh(x)^3)^(1/2),x)","\int \frac{1}{\sqrt{a \left(\sinh^{3}\left(x \right)\right)}}\, dx"," ",0,"int(1/(a*sinh(x)^3)^(1/2),x)","F"
150,0,0,93,0.088000," ","int(1/(a*sinh(x)^3)^(3/2),x)","\int \frac{1}{\left(a \left(\sinh^{3}\left(x \right)\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int(1/(a*sinh(x)^3)^(3/2),x)","F"
151,0,0,133,0.093000," ","int(1/(a*sinh(x)^3)^(5/2),x)","\int \frac{1}{\left(a \left(\sinh^{3}\left(x \right)\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"int(1/(a*sinh(x)^3)^(5/2),x)","F"
152,1,171,108,0.203000," ","int((a*sinh(x)^4)^(5/2),x)","\frac{\left(-1+\cosh \left(2 x \right)\right) \sqrt{a \left(-1+\cosh \left(2 x \right)\right) \left(\cosh \left(2 x \right)+1\right)}\, a^{\frac{3}{2}} \left(8 \sqrt{a \left(\sinh^{2}\left(2 x \right)\right)}\, \sqrt{a}\, \left(\sinh^{4}\left(2 x \right)\right)-50 \sqrt{a \left(\sinh^{2}\left(2 x \right)\right)}\, \sqrt{a}\, \cosh \left(2 x \right) \left(\sinh^{2}\left(2 x \right)\right)+160 \sqrt{a \left(\sinh^{2}\left(2 x \right)\right)}\, \sqrt{a}\, \left(\sinh^{2}\left(2 x \right)\right)-325 \cosh \left(2 x \right) \sqrt{a \left(\sinh^{2}\left(2 x \right)\right)}\, \sqrt{a}+640 \sqrt{a \left(\sinh^{2}\left(2 x \right)\right)}\, \sqrt{a}-315 \ln \left(\sqrt{a}\, \cosh \left(2 x \right)+\sqrt{a \left(\sinh^{2}\left(2 x \right)\right)}\right) a \right)}{2560 \sinh \left(2 x \right) \sqrt{\left(-1+\cosh \left(2 x \right)\right)^{2} a}}"," ",0,"1/2560*(-1+cosh(2*x))*(a*(-1+cosh(2*x))*(cosh(2*x)+1))^(1/2)*a^(3/2)*(8*(a*sinh(2*x)^2)^(1/2)*a^(1/2)*sinh(2*x)^4-50*(a*sinh(2*x)^2)^(1/2)*a^(1/2)*cosh(2*x)*sinh(2*x)^2+160*(a*sinh(2*x)^2)^(1/2)*a^(1/2)*sinh(2*x)^2-325*cosh(2*x)*(a*sinh(2*x)^2)^(1/2)*a^(1/2)+640*(a*sinh(2*x)^2)^(1/2)*a^(1/2)-315*ln(a^(1/2)*cosh(2*x)+(a*sinh(2*x)^2)^(1/2))*a)/sinh(2*x)/((-1+cosh(2*x))^2*a)^(1/2)","A"
153,1,125,62,0.154000," ","int((a*sinh(x)^4)^(3/2),x)","\frac{\left(-1+\cosh \left(2 x \right)\right) \sqrt{a \left(-1+\cosh \left(2 x \right)\right) \left(\cosh \left(2 x \right)+1\right)}\, \sqrt{a}\, \left(2 \sqrt{a \left(\sinh^{2}\left(2 x \right)\right)}\, \sqrt{a}\, \left(\sinh^{2}\left(2 x \right)\right)-9 \cosh \left(2 x \right) \sqrt{a \left(\sinh^{2}\left(2 x \right)\right)}\, \sqrt{a}+24 \sqrt{a \left(\sinh^{2}\left(2 x \right)\right)}\, \sqrt{a}-15 \ln \left(\sqrt{a}\, \cosh \left(2 x \right)+\sqrt{a \left(\sinh^{2}\left(2 x \right)\right)}\right) a \right)}{96 \sinh \left(2 x \right) \sqrt{\left(-1+\cosh \left(2 x \right)\right)^{2} a}}"," ",0,"1/96*(-1+cosh(2*x))*(a*(-1+cosh(2*x))*(cosh(2*x)+1))^(1/2)*a^(1/2)*(2*(a*sinh(2*x)^2)^(1/2)*a^(1/2)*sinh(2*x)^2-9*cosh(2*x)*(a*sinh(2*x)^2)^(1/2)*a^(1/2)+24*(a*sinh(2*x)^2)^(1/2)*a^(1/2)-15*ln(a^(1/2)*cosh(2*x)+(a*sinh(2*x)^2)^(1/2))*a)/sinh(2*x)/((-1+cosh(2*x))^2*a)^(1/2)","A"
154,1,84,28,0.183000," ","int((a*sinh(x)^4)^(1/2),x)","\frac{\left(-1+\cosh \left(2 x \right)\right) \sqrt{a \left(-1+\cosh \left(2 x \right)\right) \left(\cosh \left(2 x \right)+1\right)}\, \left(\sqrt{a \left(\sinh^{2}\left(2 x \right)\right)}\, \sqrt{a}-\ln \left(\sqrt{a}\, \cosh \left(2 x \right)+\sqrt{a \left(\sinh^{2}\left(2 x \right)\right)}\right) a \right)}{4 \sqrt{a}\, \sinh \left(2 x \right) \sqrt{\left(-1+\cosh \left(2 x \right)\right)^{2} a}}"," ",0,"1/4*(-1+cosh(2*x))*(a*(-1+cosh(2*x))*(cosh(2*x)+1))^(1/2)*((a*sinh(2*x)^2)^(1/2)*a^(1/2)-ln(a^(1/2)*cosh(2*x)+(a*sinh(2*x)^2)^(1/2))*a)/a^(1/2)/sinh(2*x)/((-1+cosh(2*x))^2*a)^(1/2)","B"
155,1,50,14,0.141000," ","int(1/(a*sinh(x)^4)^(1/2),x)","-\frac{\sqrt{a \left(-1+\cosh \left(2 x \right)\right) \left(\cosh \left(2 x \right)+1\right)}\, \sqrt{a \left(\sinh^{2}\left(2 x \right)\right)}}{a \sinh \left(2 x \right) \sqrt{\left(-1+\cosh \left(2 x \right)\right)^{2} a}}"," ",0,"-(a*(-1+cosh(2*x))*(cosh(2*x)+1))^(1/2)/a*(a*sinh(2*x)^2)^(1/2)/sinh(2*x)/((-1+cosh(2*x))^2*a)^(1/2)","B"
156,1,74,58,0.140000," ","int(1/(a*sinh(x)^4)^(3/2),x)","-\frac{4 \left(2 \left(\cosh^{2}\left(2 x \right)\right)-6 \cosh \left(2 x \right)+7\right) \sqrt{a \left(\sinh^{2}\left(2 x \right)\right)}\, \sqrt{a \left(-1+\cosh \left(2 x \right)\right) \left(\cosh \left(2 x \right)+1\right)}}{15 a^{2} \left(-1+\cosh \left(2 x \right)\right)^{2} \sinh \left(2 x \right) \sqrt{\left(-1+\cosh \left(2 x \right)\right)^{2} a}}"," ",0,"-4/15/a^2*(2*cosh(2*x)^2-6*cosh(2*x)+7)*(a*sinh(2*x)^2)^(1/2)*(a*(-1+cosh(2*x))*(cosh(2*x)+1))^(1/2)/(-1+cosh(2*x))^2/sinh(2*x)/((-1+cosh(2*x))^2*a)^(1/2)","A"
157,1,90,100,0.133000," ","int(1/(a*sinh(x)^4)^(5/2),x)","-\frac{16 \left(8 \left(\cosh^{4}\left(2 x \right)\right)-40 \left(\cosh^{3}\left(2 x \right)\right)+84 \left(\cosh^{2}\left(2 x \right)\right)-100 \cosh \left(2 x \right)+83\right) \sqrt{a \left(\sinh^{2}\left(2 x \right)\right)}\, \sqrt{a \left(-1+\cosh \left(2 x \right)\right) \left(\cosh \left(2 x \right)+1\right)}}{315 a^{3} \left(-1+\cosh \left(2 x \right)\right)^{4} \sinh \left(2 x \right) \sqrt{\left(-1+\cosh \left(2 x \right)\right)^{2} a}}"," ",0,"-16/315/a^3*(8*cosh(2*x)^4-40*cosh(2*x)^3+84*cosh(2*x)^2-100*cosh(2*x)+83)*(a*sinh(2*x)^2)^(1/2)*(a*(-1+cosh(2*x))*(cosh(2*x)+1))^(1/2)/(-1+cosh(2*x))^4/sinh(2*x)/((-1+cosh(2*x))^2*a)^(1/2)","A"
158,1,292,36,0.095000," ","int(cosh(x)^8/(I+sinh(x)),x)","\frac{5 i \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{16}-\frac{11 i}{16 \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{5 i \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{16}-\frac{11 i}{16 \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{1}{7 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{7}}+\frac{1}{7 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{7}}-\frac{5}{4 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{4}}-\frac{5}{4 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{4}}-\frac{1}{2 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{6}}-\frac{1}{\left(\tanh \left(\frac{x}{2}\right)-1\right)^{5}}+\frac{1}{\left(\tanh \left(\frac{x}{2}\right)+1\right)^{5}}-\frac{1}{2 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{6}}-\frac{9}{8 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}+\frac{9}{8 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}-\frac{5}{16 \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{11}{16 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{11}{16 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{5}{16 \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{i}{2 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{5}}-\frac{i}{6 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{6}}-\frac{19 i}{16 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{7 i}{6 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}+\frac{19 i}{16 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{i}{2 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{5}}-\frac{7 i}{6 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}-\frac{i}{\left(\tanh \left(\frac{x}{2}\right)-1\right)^{4}}+\frac{i}{\left(\tanh \left(\frac{x}{2}\right)+1\right)^{4}}+\frac{i}{6 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{6}}"," ",0,"-1/7/(tanh(1/2*x)-1)^7+1/7/(tanh(1/2*x)+1)^7-5/4/(tanh(1/2*x)+1)^4-5/4/(tanh(1/2*x)-1)^4-1/2/(tanh(1/2*x)-1)^6-1/(tanh(1/2*x)-1)^5+1/(tanh(1/2*x)+1)^5-1/2/(tanh(1/2*x)+1)^6-9/8/(tanh(1/2*x)-1)^3+9/8/(tanh(1/2*x)+1)^3-5/16/(tanh(1/2*x)-1)-11/16/(tanh(1/2*x)-1)^2-11/16/(tanh(1/2*x)+1)^2+5/16/(tanh(1/2*x)+1)-1/2*I/(tanh(1/2*x)-1)^5-11/16*I/(tanh(1/2*x)-1)-1/6*I/(tanh(1/2*x)-1)^6-19/16*I/(tanh(1/2*x)-1)^2-11/16*I/(tanh(1/2*x)+1)-7/6*I/(tanh(1/2*x)-1)^3+19/16*I/(tanh(1/2*x)+1)^2-1/2*I/(tanh(1/2*x)+1)^5+5/16*I*ln(tanh(1/2*x)-1)-5/16*I*ln(tanh(1/2*x)+1)-7/6*I/(tanh(1/2*x)+1)^3-I/(tanh(1/2*x)-1)^4+I/(tanh(1/2*x)+1)^4+1/6*I/(tanh(1/2*x)+1)^6","B"
159,1,142,35,0.080000," ","int(cosh(x)^7/(I+sinh(x)),x)","\frac{\frac{11}{12}+\frac{11 i}{12}}{\left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}+\frac{\frac{11}{16}+\frac{7 i}{8}}{\left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{\frac{7}{8}+\frac{i}{2}}{\left(\tanh \left(\frac{x}{2}\right)-1\right)^{4}}+\frac{\frac{1}{2}+\frac{i}{5}}{\left(\tanh \left(\frac{x}{2}\right)-1\right)^{5}}+\frac{\frac{5}{16}+i}{\tanh \left(\frac{x}{2}\right)-1}+\frac{1}{6 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{6}}+\frac{\frac{11}{16}-\frac{7 i}{8}}{\left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{\frac{7}{8}-\frac{i}{2}}{\left(\tanh \left(\frac{x}{2}\right)+1\right)^{4}}+\frac{-\frac{1}{2}+\frac{i}{5}}{\left(\tanh \left(\frac{x}{2}\right)+1\right)^{5}}+\frac{-\frac{5}{16}+i}{\tanh \left(\frac{x}{2}\right)+1}+\frac{-\frac{11}{12}+\frac{11 i}{12}}{\left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}+\frac{1}{6 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{6}}"," ",0,"(11/12+11/12*I)/(tanh(1/2*x)-1)^3+(11/16+7/8*I)/(tanh(1/2*x)-1)^2+(7/8+1/2*I)/(tanh(1/2*x)-1)^4+(1/2+1/5*I)/(tanh(1/2*x)-1)^5+(5/16+I)/(tanh(1/2*x)-1)+1/6/(tanh(1/2*x)-1)^6+(11/16-7/8*I)/(tanh(1/2*x)+1)^2+(7/8-1/2*I)/(tanh(1/2*x)+1)^4+(-1/2+1/5*I)/(tanh(1/2*x)+1)^5+(-5/16+I)/(tanh(1/2*x)+1)+(-11/12+11/12*I)/(tanh(1/2*x)+1)^3+1/6/(tanh(1/2*x)+1)^6","B"
160,1,210,27,0.064000," ","int(cosh(x)^6/(I+sinh(x)),x)","-\frac{i}{4 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{4}}-\frac{1}{2 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{4}}-\frac{i}{2 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}-\frac{3}{8 \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{3 i \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{8}-\frac{5}{8 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{7 i}{8 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{3}{4 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}-\frac{5 i}{8 \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{1}{5 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{5}}+\frac{7 i}{8 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{1}{2 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{4}}+\frac{3 i \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{8}+\frac{3}{4 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}+\frac{i}{4 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{4}}+\frac{3}{8 \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{i}{2 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}-\frac{5}{8 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{5 i}{8 \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{1}{5 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{5}}"," ",0,"-1/4*I/(tanh(1/2*x)-1)^4-1/2/(tanh(1/2*x)-1)^4-1/2*I/(tanh(1/2*x)+1)^3-3/8/(tanh(1/2*x)-1)-3/8*I*ln(tanh(1/2*x)+1)-5/8/(tanh(1/2*x)-1)^2-7/8*I/(tanh(1/2*x)-1)^2-3/4/(tanh(1/2*x)-1)^3-5/8*I/(tanh(1/2*x)+1)-1/5/(tanh(1/2*x)-1)^5+7/8*I/(tanh(1/2*x)+1)^2-1/2/(tanh(1/2*x)+1)^4+3/8*I*ln(tanh(1/2*x)-1)+3/4/(tanh(1/2*x)+1)^3+1/4*I/(tanh(1/2*x)+1)^4+3/8/(tanh(1/2*x)+1)-1/2*I/(tanh(1/2*x)-1)^3-5/8/(tanh(1/2*x)+1)^2-5/8*I/(tanh(1/2*x)-1)+1/5/(tanh(1/2*x)+1)^5","B"
161,1,94,25,0.060000," ","int(cosh(x)^5/(I+sinh(x)),x)","\frac{\frac{5}{8}+\frac{i}{2}}{\left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{\frac{1}{2}+\frac{i}{3}}{\left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}+\frac{\frac{3}{8}+i}{\tanh \left(\frac{x}{2}\right)-1}+\frac{1}{4 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{4}}+\frac{\frac{5}{8}-\frac{i}{2}}{\left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{-\frac{1}{2}+\frac{i}{3}}{\left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}+\frac{-\frac{3}{8}+i}{\tanh \left(\frac{x}{2}\right)+1}+\frac{1}{4 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{4}}"," ",0,"(5/8+1/2*I)/(tanh(1/2*x)-1)^2+(1/2+1/3*I)/(tanh(1/2*x)-1)^3+(3/8+I)/(tanh(1/2*x)-1)+1/4/(tanh(1/2*x)-1)^4+(5/8-1/2*I)/(tanh(1/2*x)+1)^2+(-1/2+1/3*I)/(tanh(1/2*x)+1)^3+(-3/8+I)/(tanh(1/2*x)+1)+1/4/(tanh(1/2*x)+1)^4","B"
162,1,126,18,0.055000," ","int(cosh(x)^4/(I+sinh(x)),x)","\frac{i \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2}-\frac{1}{2 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{i}{2 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{1}{2 \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{i}{2 \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{1}{3 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}-\frac{i \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2}+\frac{1}{2 \tanh \left(\frac{x}{2}\right)+2}-\frac{i}{2 \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{1}{2 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{i}{2 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{1}{3 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}"," ",0,"1/2*I*ln(tanh(1/2*x)-1)-1/2/(tanh(1/2*x)-1)^2-1/2*I/(tanh(1/2*x)-1)^2-1/2/(tanh(1/2*x)-1)-1/2*I/(tanh(1/2*x)-1)-1/3/(tanh(1/2*x)-1)^3-1/2*I*ln(tanh(1/2*x)+1)+1/2/(tanh(1/2*x)+1)-1/2*I/(tanh(1/2*x)+1)-1/2/(tanh(1/2*x)+1)^2+1/2*I/(tanh(1/2*x)+1)^2+1/3/(tanh(1/2*x)+1)^3","B"
163,1,13,12,0.032000," ","int(cosh(x)^3/(I+sinh(x)),x)","-i \sinh \left(x \right)+\frac{\left(\sinh^{2}\left(x \right)\right)}{2}"," ",0,"-I*sinh(x)+1/2*sinh(x)^2","A"
164,1,40,7,0.046000," ","int(cosh(x)^2/(I+sinh(x)),x)","i \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)-\frac{1}{\tanh \left(\frac{x}{2}\right)-1}-i \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)+\frac{1}{\tanh \left(\frac{x}{2}\right)+1}"," ",0,"I*ln(tanh(1/2*x)-1)-1/(tanh(1/2*x)-1)-I*ln(tanh(1/2*x)+1)+1/(tanh(1/2*x)+1)","B"
165,1,7,6,0.020000," ","int(cosh(x)/(I+sinh(x)),x)","\ln \left(i+\sinh \left(x \right)\right)"," ",0,"ln(I+sinh(x))","A"
166,1,43,17,0.048000," ","int(sech(x)/(I+sinh(x)),x)","\frac{i}{\tanh \left(\frac{x}{2}\right)+i}+\frac{1}{\left(\tanh \left(\frac{x}{2}\right)+i\right)^{2}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+i\right)}{2}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-i\right)}{2}"," ",0,"I/(tanh(1/2*x)+I)+1/(tanh(1/2*x)+I)^2+1/2*ln(tanh(1/2*x)+I)-1/2*ln(tanh(1/2*x)-I)","B"
167,1,49,18,0.052000," ","int(sech(x)^2/(I+sinh(x)),x)","-\frac{1}{\left(\tanh \left(\frac{x}{2}\right)+i\right)^{2}}+\frac{2 i}{3 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{3}}-\frac{3 i}{2 \left(\tanh \left(\frac{x}{2}\right)+i\right)}-\frac{i}{2 \left(\tanh \left(\frac{x}{2}\right)-i\right)}"," ",0,"-1/(tanh(1/2*x)+I)^2+2/3*I/(tanh(1/2*x)+I)^3-3/2*I/(tanh(1/2*x)+I)-1/2*I/(tanh(1/2*x)-I)","B"
168,1,91,38,0.059000," ","int(sech(x)^3/(I+sinh(x)),x)","-\frac{1}{2 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{4}}+\frac{i}{\tanh \left(\frac{x}{2}\right)+i}-\frac{i}{\left(\tanh \left(\frac{x}{2}\right)+i\right)^{3}}+\frac{3}{2 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{2}}+\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)+i\right)}{8}+\frac{i}{4 \tanh \left(\frac{x}{2}\right)-4 i}-\frac{1}{4 \left(\tanh \left(\frac{x}{2}\right)-i\right)^{2}}-\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)-i\right)}{8}"," ",0,"-1/2/(tanh(1/2*x)+I)^4+I/(tanh(1/2*x)+I)-I/(tanh(1/2*x)+I)^3+3/2/(tanh(1/2*x)+I)^2+3/8*ln(tanh(1/2*x)+I)+1/4*I/(tanh(1/2*x)-I)-1/4/(tanh(1/2*x)-I)^2-3/8*ln(tanh(1/2*x)-I)","B"
169,1,93,27,0.062000," ","int(sech(x)^4/(I+sinh(x)),x)","-\frac{2 i}{5 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{5}}+\frac{5 i}{3 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{3}}-\frac{11 i}{8 \left(\tanh \left(\frac{x}{2}\right)+i\right)}+\frac{1}{\left(\tanh \left(\frac{x}{2}\right)+i\right)^{4}}-\frac{3}{2 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{2}}+\frac{i}{6 \left(\tanh \left(\frac{x}{2}\right)-i\right)^{3}}-\frac{5 i}{8 \left(\tanh \left(\frac{x}{2}\right)-i\right)}+\frac{1}{4 \left(\tanh \left(\frac{x}{2}\right)-i\right)^{2}}"," ",0,"-2/5*I/(tanh(1/2*x)+I)^5+5/3*I/(tanh(1/2*x)+I)^3-11/8*I/(tanh(1/2*x)+I)+1/(tanh(1/2*x)+I)^4-3/2/(tanh(1/2*x)+I)^2+1/6*I/(tanh(1/2*x)-I)^3-5/8*I/(tanh(1/2*x)-I)+1/4/(tanh(1/2*x)-I)^2","B"
170,1,137,59,0.061000," ","int(sech(x)^5/(I+sinh(x)),x)","\frac{i}{\left(\tanh \left(\frac{x}{2}\right)+i\right)^{5}}+\frac{i}{\tanh \left(\frac{x}{2}\right)+i}-\frac{25 i}{12 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{3}}+\frac{1}{3 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{6}}-\frac{15}{8 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{4}}+\frac{15}{8 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{2}}+\frac{5 \ln \left(\tanh \left(\frac{x}{2}\right)+i\right)}{16}+\frac{3 i}{8 \left(\tanh \left(\frac{x}{2}\right)-i\right)}-\frac{i}{4 \left(\tanh \left(\frac{x}{2}\right)-i\right)^{3}}+\frac{1}{8 \left(\tanh \left(\frac{x}{2}\right)-i\right)^{4}}-\frac{1}{2 \left(\tanh \left(\frac{x}{2}\right)-i\right)^{2}}-\frac{5 \ln \left(\tanh \left(\frac{x}{2}\right)-i\right)}{16}"," ",0,"I/(tanh(1/2*x)+I)^5+I/(tanh(1/2*x)+I)-25/12*I/(tanh(1/2*x)+I)^3+1/3/(tanh(1/2*x)+I)^6-15/8/(tanh(1/2*x)+I)^4+15/8/(tanh(1/2*x)+I)^2+5/16*ln(tanh(1/2*x)+I)+3/8*I/(tanh(1/2*x)-I)-1/4*I/(tanh(1/2*x)-I)^3+1/8/(tanh(1/2*x)-I)^4-1/2/(tanh(1/2*x)-I)^2-5/16*ln(tanh(1/2*x)-I)","B"
171,1,166,30,0.072000," ","int(cosh(x)^6/(I+sinh(x))^2,x)","\frac{1}{2 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}-\frac{i}{\tanh \left(\frac{x}{2}\right)+1}-\frac{1}{8 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{i}{\left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{3}{8 \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{2 i}{3 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}+\frac{1}{4 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{4}}+\frac{5 \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{8}+\frac{1}{2 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}+\frac{i}{\left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{1}{8 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{2 i}{3 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}-\frac{3}{8 \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{i}{\tanh \left(\frac{x}{2}\right)-1}-\frac{1}{4 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{4}}-\frac{5 \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{8}"," ",0,"1/2/(tanh(1/2*x)-1)^3-I/(tanh(1/2*x)+1)-1/8/(tanh(1/2*x)-1)^2+I/(tanh(1/2*x)+1)^2-3/8/(tanh(1/2*x)-1)-2/3*I/(tanh(1/2*x)+1)^3+1/4/(tanh(1/2*x)-1)^4+5/8*ln(tanh(1/2*x)-1)+1/2/(tanh(1/2*x)+1)^3+I/(tanh(1/2*x)-1)^2+1/8/(tanh(1/2*x)+1)^2+2/3*I/(tanh(1/2*x)-1)^3-3/8/(tanh(1/2*x)+1)+I/(tanh(1/2*x)-1)-1/4/(tanh(1/2*x)+1)^4-5/8*ln(tanh(1/2*x)+1)","B"
172,1,70,11,0.068000," ","int(cosh(x)^5/(I+sinh(x))^2,x)","\frac{1-i}{\tanh \left(\frac{x}{2}\right)-1}+\frac{-\frac{1}{2}-i}{\left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{1}{3 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}+\frac{\frac{1}{2}-i}{\left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{1+i}{\tanh \left(\frac{x}{2}\right)+1}-\frac{1}{3 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}"," ",0,"(1-I)/(tanh(1/2*x)-1)-(1/2+I)/(tanh(1/2*x)-1)^2-1/3/(tanh(1/2*x)-1)^3+(1/2-I)/(tanh(1/2*x)+1)^2+(1+I)/(tanh(1/2*x)+1)-1/3/(tanh(1/2*x)+1)^3","B"
173,1,82,22,0.071000," ","int(cosh(x)^4/(I+sinh(x))^2,x)","\frac{1}{2 \tanh \left(\frac{x}{2}\right)-2}+\frac{2 i}{\tanh \left(\frac{x}{2}\right)-1}+\frac{1}{2 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2}+\frac{1}{2 \tanh \left(\frac{x}{2}\right)+2}-\frac{2 i}{\tanh \left(\frac{x}{2}\right)+1}-\frac{1}{2 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2}"," ",0,"1/2/(tanh(1/2*x)-1)+2*I/(tanh(1/2*x)-1)+1/2/(tanh(1/2*x)-1)^2+3/2*ln(tanh(1/2*x)-1)+1/2/(tanh(1/2*x)+1)-2*I/(tanh(1/2*x)+1)-1/2/(tanh(1/2*x)+1)^2-3/2*ln(tanh(1/2*x)+1)","B"
174,1,53,12,0.067000," ","int(cosh(x)^3/(I+sinh(x))^2,x)","2 i \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)-\frac{1}{\tanh \left(\frac{x}{2}\right)-1}+2 i \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)-\frac{1}{\tanh \left(\frac{x}{2}\right)+1}-4 i \ln \left(\tanh \left(\frac{x}{2}\right)+i\right)"," ",0,"2*I*ln(tanh(1/2*x)-1)-1/(tanh(1/2*x)-1)+2*I*ln(tanh(1/2*x)+1)-1/(tanh(1/2*x)+1)-4*I*ln(tanh(1/2*x)+I)","B"
175,1,29,13,0.062000," ","int(cosh(x)^2/(I+sinh(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)","B"
176,1,10,9,0.027000," ","int(cosh(x)/(I+sinh(x))^2,x)","-\frac{1}{i+\sinh \left(x \right)}"," ",0,"-1/(I+sinh(x))","A"
177,1,70,25,0.062000," ","int(sech(x)/(I+sinh(x))^2,x)","\frac{i}{\left(\tanh \left(\frac{x}{2}\right)+i\right)^{4}}-\frac{i \ln \left(\tanh \left(\frac{x}{2}\right)+i\right)}{4}-\frac{5 i}{2 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{2}}-\frac{2}{\left(\tanh \left(\frac{x}{2}\right)+i\right)^{3}}+\frac{3}{2 \left(\tanh \left(\frac{x}{2}\right)+i\right)}+\frac{i \ln \left(\tanh \left(\frac{x}{2}\right)-i\right)}{4}"," ",0,"I/(tanh(1/2*x)+I)^4-1/4*I*ln(tanh(1/2*x)+I)-5/2*I/(tanh(1/2*x)+I)^2-2/(tanh(1/2*x)+I)^3+3/2/(tanh(1/2*x)+I)+1/4*I*ln(tanh(1/2*x)-I)","B"
178,1,70,28,0.060000," ","int(sech(x)^2/(I+sinh(x))^2,x)","-\frac{2 i}{\left(\tanh \left(\frac{x}{2}\right)+i\right)^{4}}+\frac{5 i}{2 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{2}}-\frac{4}{5 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{5}}+\frac{3}{\left(\tanh \left(\frac{x}{2}\right)+i\right)^{3}}-\frac{7}{4 \left(\tanh \left(\frac{x}{2}\right)+i\right)}-\frac{1}{4 \left(\tanh \left(\frac{x}{2}\right)-i\right)}"," ",0,"-2*I/(tanh(1/2*x)+I)^4+5/2*I/(tanh(1/2*x)+I)^2-4/5/(tanh(1/2*x)+I)^5+3/(tanh(1/2*x)+I)^3-7/4/(tanh(1/2*x)+I)-1/4/(tanh(1/2*x)-I)","B"
179,1,116,45,0.079000," ","int(sech(x)^3/(I+sinh(x))^2,x)","\frac{7 i}{2 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{4}}-\frac{2 i}{3 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{6}}-\frac{i \ln \left(\tanh \left(\frac{x}{2}\right)+i\right)}{4}-\frac{23 i}{8 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{2}}+\frac{2}{\left(\tanh \left(\frac{x}{2}\right)+i\right)^{5}}-\frac{11}{3 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{3}}+\frac{11}{8 \left(\tanh \left(\frac{x}{2}\right)+i\right)}+\frac{i}{8 \left(\tanh \left(\frac{x}{2}\right)-i\right)^{2}}+\frac{i \ln \left(\tanh \left(\frac{x}{2}\right)-i\right)}{4}+\frac{1}{8 \tanh \left(\frac{x}{2}\right)-8 i}"," ",0,"7/2*I/(tanh(1/2*x)+I)^4-2/3*I/(tanh(1/2*x)+I)^6-1/4*I*ln(tanh(1/2*x)+I)-23/8*I/(tanh(1/2*x)+I)^2+2/(tanh(1/2*x)+I)^5-11/3/(tanh(1/2*x)+I)^3+11/8/(tanh(1/2*x)+I)+1/8*I/(tanh(1/2*x)-I)^2+1/4*I*ln(tanh(1/2*x)-I)+1/8/(tanh(1/2*x)-I)","B"
180,1,116,38,0.086000," ","int(sech(x)^4/(I+sinh(x))^2,x)","\frac{2 i}{\left(\tanh \left(\frac{x}{2}\right)+i\right)^{6}}-\frac{5 i}{\left(\tanh \left(\frac{x}{2}\right)+i\right)^{4}}+\frac{23 i}{8 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{2}}+\frac{4}{7 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{7}}-\frac{4}{\left(\tanh \left(\frac{x}{2}\right)+i\right)^{5}}+\frac{55}{12 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{3}}-\frac{13}{8 \left(\tanh \left(\frac{x}{2}\right)+i\right)}-\frac{i}{8 \left(\tanh \left(\frac{x}{2}\right)-i\right)^{2}}+\frac{1}{12 \left(\tanh \left(\frac{x}{2}\right)-i\right)^{3}}-\frac{3}{8 \left(\tanh \left(\frac{x}{2}\right)-i\right)}"," ",0,"2*I/(tanh(1/2*x)+I)^6-5*I/(tanh(1/2*x)+I)^4+23/8*I/(tanh(1/2*x)+I)^2+4/7/(tanh(1/2*x)+I)^7-4/(tanh(1/2*x)+I)^5+55/12/(tanh(1/2*x)+I)^3-13/8/(tanh(1/2*x)+I)-1/8*I/(tanh(1/2*x)-I)^2+1/12/(tanh(1/2*x)-I)^3-3/8/(tanh(1/2*x)-I)","B"
181,1,56,24,0.081000," ","int(cosh(x)^3/(1+I*sinh(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"
182,1,36,16,0.080000," ","int(cosh(x)^2/(1+I*sinh(x))^3,x)","\frac{2}{\tanh \left(\frac{x}{2}\right)-i}-\frac{8}{3 \left(\tanh \left(\frac{x}{2}\right)-i\right)^{3}}+\frac{4 i}{\left(\tanh \left(\frac{x}{2}\right)-i\right)^{2}}"," ",0,"2/(tanh(1/2*x)-I)-8/3/(tanh(1/2*x)-I)^3+4*I/(tanh(1/2*x)-I)^2","B"
183,1,13,12,0.025000," ","int(cosh(x)/(1+I*sinh(x))^3,x)","\frac{i}{2 \left(1+i \sinh \left(x \right)\right)^{2}}"," ",0,"1/2*I/(1+I*sinh(x))^2","A"
184,1,56,22,0.084000," ","int(cosh(x)^3/(1-I*sinh(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"
185,1,36,16,0.069000," ","int(cosh(x)^2/(1-I*sinh(x))^3,x)","-\frac{4 i}{\left(\tanh \left(\frac{x}{2}\right)+i\right)^{2}}+\frac{2}{\tanh \left(\frac{x}{2}\right)+i}-\frac{8}{3 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{3}}"," ",0,"-4*I/(tanh(1/2*x)+I)^2+2/(tanh(1/2*x)+I)-8/3/(tanh(1/2*x)+I)^3","B"
186,1,13,12,0.029000," ","int(cosh(x)/(1-I*sinh(x))^3,x)","-\frac{i}{2 \left(1-i \sinh \left(x \right)\right)^{2}}"," ",0,"-1/2*I/(1-I*sinh(x))^2","A"
187,1,837,128,0.057000," ","int(cosh(x)^7/(a+b*sinh(x)),x)","\frac{1}{6 b \left(\tanh \left(\frac{x}{2}\right)-1\right)^{6}}+\frac{1}{6 b \left(\tanh \left(\frac{x}{2}\right)+1\right)^{6}}+\frac{1}{2 b \left(\tanh \left(\frac{x}{2}\right)-1\right)^{5}}+\frac{9}{8 b \left(\tanh \left(\frac{x}{2}\right)-1\right)^{4}}-\frac{1}{2 b \left(\tanh \left(\frac{x}{2}\right)+1\right)^{5}}+\frac{9}{8 b \left(\tanh \left(\frac{x}{2}\right)+1\right)^{4}}+\frac{17}{12 b \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}+\frac{29}{16 b \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{19}{16 b \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{17}{12 b \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}+\frac{29}{16 b \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{19}{16 b \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\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{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{b}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{b}-\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)-1\right) a^{2}}{b^{3}}-\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)+1\right) a^{2}}{b^{3}}+\frac{3 \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right) a^{2}}{b^{3}}+\frac{3 \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right) a^{4}}{b^{5}}+\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right) a^{6}}{b^{7}}+\frac{a^{5}}{b^{6} \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{a^{4}}{2 b^{5} \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{3 a^{3}}{b^{4} \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{a}{5 b^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{5}}+\frac{a^{2}}{4 b^{3} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{4}}-\frac{a}{2 b^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{4}}+\frac{a^{3}}{3 b^{4} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}-\frac{a^{2}}{2 b^{3} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}+\frac{5 a}{4 b^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right) a^{6}}{b^{7}}-\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)+1\right) a^{4}}{b^{5}}+\frac{a^{4}}{2 b^{5} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{a^{3}}{2 b^{4} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{13 a^{2}}{8 b^{3} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{a^{3}}{3 b^{4} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}+\frac{a^{2}}{2 b^{3} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}+\frac{5 a}{4 b^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right) a^{6}}{b^{7}}-\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)-1\right) a^{4}}{b^{5}}+\frac{a^{4}}{2 b^{5} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{a^{3}}{2 b^{4} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{13 a^{2}}{8 b^{3} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{a^{5}}{b^{6} \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{a^{4}}{2 b^{5} \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{3 a^{3}}{b^{4} \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{a}{5 b^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{5}}+\frac{a^{2}}{4 b^{3} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{4}}+\frac{a}{2 b^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{4}}+\frac{3 a}{b^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{11 a}{8 b^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{11 a^{2}}{8 b^{3} \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{3 a}{b^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{11 a}{8 b^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{11 a^{2}}{8 b^{3} \left(\tanh \left(\frac{x}{2}\right)+1\right)}"," ",0,"1/6/b/(tanh(1/2*x)-1)^6+1/6/b/(tanh(1/2*x)+1)^6+1/b*ln(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)+1/2/b/(tanh(1/2*x)-1)^5+9/8/b/(tanh(1/2*x)-1)^4-1/2/b/(tanh(1/2*x)+1)^5+9/8/b/(tanh(1/2*x)+1)^4+17/12/b/(tanh(1/2*x)-1)^3+29/16/b/(tanh(1/2*x)-1)^2+19/16/b/(tanh(1/2*x)-1)-17/12/b/(tanh(1/2*x)+1)^3+29/16/b/(tanh(1/2*x)+1)^2-19/16/b/(tanh(1/2*x)+1)-1/b*ln(tanh(1/2*x)-1)-1/b*ln(tanh(1/2*x)+1)-3/b^3*ln(tanh(1/2*x)-1)*a^2-3/b^3*ln(tanh(1/2*x)+1)*a^2+1/b^6/(tanh(1/2*x)+1)*a^5-1/2/b^5/(tanh(1/2*x)+1)*a^4+3/b^4/(tanh(1/2*x)+1)*a^3+1/5/b^2/(tanh(1/2*x)+1)^5*a+1/4/b^3/(tanh(1/2*x)+1)^4*a^2-1/2/b^2/(tanh(1/2*x)+1)^4*a+1/3/b^4/(tanh(1/2*x)+1)^3*a^3-1/2/b^3/(tanh(1/2*x)+1)^3*a^2+5/4/b^2/(tanh(1/2*x)+1)^3*a-1/b^7*ln(tanh(1/2*x)+1)*a^6-3/b^5*ln(tanh(1/2*x)+1)*a^4+1/2/b^5/(tanh(1/2*x)+1)^2*a^4-1/2/b^4/(tanh(1/2*x)+1)^2*a^3+13/8/b^3/(tanh(1/2*x)+1)^2*a^2+1/3/b^4/(tanh(1/2*x)-1)^3*a^3+1/2/b^3/(tanh(1/2*x)-1)^3*a^2+5/4/b^2/(tanh(1/2*x)-1)^3*a-1/b^7*ln(tanh(1/2*x)-1)*a^6-3/b^5*ln(tanh(1/2*x)-1)*a^4+1/2/b^5/(tanh(1/2*x)-1)^2*a^4+1/2/b^4/(tanh(1/2*x)-1)^2*a^3+13/8/b^3/(tanh(1/2*x)-1)^2*a^2+1/b^6/(tanh(1/2*x)-1)*a^5+1/2/b^5/(tanh(1/2*x)-1)*a^4+3/b^4/(tanh(1/2*x)-1)*a^3+1/b^7*ln(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)*a^6+3/b^5*ln(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)*a^4+3/b^3*ln(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)*a^2+1/5/b^2/(tanh(1/2*x)-1)^5*a+1/4/b^3/(tanh(1/2*x)-1)^4*a^2+1/2/b^2/(tanh(1/2*x)-1)^4*a+3/b^2/(tanh(1/2*x)+1)*a+11/8/b^2/(tanh(1/2*x)-1)^2*a+11/8/b^3/(tanh(1/2*x)-1)*a^2+3/b^2/(tanh(1/2*x)-1)*a-11/8/b^2/(tanh(1/2*x)+1)^2*a-11/8/b^3/(tanh(1/2*x)+1)*a^2","B"
188,1,674,132,0.056000," ","int(cosh(x)^6/(a+b*sinh(x)),x)","\frac{2 \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{1}{5 b \left(\tanh \left(\frac{x}{2}\right)-1\right)^{5}}-\frac{1}{2 b \left(\tanh \left(\frac{x}{2}\right)-1\right)^{4}}+\frac{1}{5 b \left(\tanh \left(\frac{x}{2}\right)+1\right)^{5}}-\frac{1}{2 b \left(\tanh \left(\frac{x}{2}\right)+1\right)^{4}}+\frac{6 a^{2} \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}}}+\frac{2 \arctanh \left(\frac{2 a \tanh \left(\frac{x}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right) a^{6}}{b^{6} \sqrt{a^{2}+b^{2}}}+\frac{6 a^{4} \arctanh \left(\frac{2 a \tanh \left(\frac{x}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{b^{4} \sqrt{a^{2}+b^{2}}}-\frac{13}{12 b \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}-\frac{9}{8 b \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{15}{8 b \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{13}{12 b \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}-\frac{9}{8 b \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{15}{8 b \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{a^{4}}{b^{5} \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{a^{3}}{2 b^{4} \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{a}{4 b^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{4}}+\frac{a^{2}}{3 b^{3} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}-\frac{a}{2 b^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}+\frac{a^{3}}{2 b^{4} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{a^{2}}{2 b^{3} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{a^{2}}{3 b^{3} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}-\frac{a}{2 b^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}-\frac{a^{3}}{2 b^{4} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{a^{2}}{2 b^{3} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{a^{4}}{b^{5} \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{a^{3}}{2 b^{4} \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{a}{4 b^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{4}}-\frac{a^{5} \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{b^{6}}+\frac{a^{5} \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{b^{6}}-\frac{9 a}{8 b^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{5 a^{3} \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2 b^{4}}-\frac{15 a \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{8 b^{2}}-\frac{11 a}{8 b^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{5 a^{2}}{2 b^{3} \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{9 a}{8 b^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{5 a^{3} \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2 b^{4}}+\frac{15 a \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{8 b^{2}}+\frac{11 a}{8 b^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{5 a^{2}}{2 b^{3} \left(\tanh \left(\frac{x}{2}\right)+1\right)}"," ",0,"2/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))+6*a^2/b^2/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))-1/5/b/(tanh(1/2*x)-1)^5-1/2/b/(tanh(1/2*x)-1)^4+1/5/b/(tanh(1/2*x)+1)^5-1/2/b/(tanh(1/2*x)+1)^4+2/b^6/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))*a^6-13/12/b/(tanh(1/2*x)-1)^3-9/8/b/(tanh(1/2*x)-1)^2-15/8/b/(tanh(1/2*x)-1)+13/12/b/(tanh(1/2*x)+1)^3-9/8/b/(tanh(1/2*x)+1)^2+15/8/b/(tanh(1/2*x)+1)+6*a^4/b^4/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))+1/b^5/(tanh(1/2*x)+1)*a^4-1/2/b^4/(tanh(1/2*x)+1)*a^3+1/4/b^2/(tanh(1/2*x)+1)^4*a+1/3/b^3/(tanh(1/2*x)+1)^3*a^2-1/2/b^2/(tanh(1/2*x)+1)^3*a+1/2/b^4/(tanh(1/2*x)+1)^2*a^3-1/2/b^3/(tanh(1/2*x)+1)^2*a^2-1/3/b^3/(tanh(1/2*x)-1)^3*a^2-1/2/b^2/(tanh(1/2*x)-1)^3*a-1/2/b^4/(tanh(1/2*x)-1)^2*a^3-1/2/b^3/(tanh(1/2*x)-1)^2*a^2-1/b^5/(tanh(1/2*x)-1)*a^4-1/2/b^4/(tanh(1/2*x)-1)*a^3-1/4/b^2/(tanh(1/2*x)-1)^4*a-a^5/b^6*ln(tanh(1/2*x)+1)+a^5/b^6*ln(tanh(1/2*x)-1)-9/8/b^2/(tanh(1/2*x)+1)*a-5/2*a^3/b^4*ln(tanh(1/2*x)+1)-15/8*a/b^2*ln(tanh(1/2*x)+1)-11/8/b^2/(tanh(1/2*x)-1)^2*a-5/2/b^3/(tanh(1/2*x)-1)*a^2-9/8/b^2/(tanh(1/2*x)-1)*a+5/2*a^3/b^4*ln(tanh(1/2*x)-1)+15/8*a/b^2*ln(tanh(1/2*x)-1)+11/8/b^2/(tanh(1/2*x)+1)^2*a+5/2/b^3/(tanh(1/2*x)+1)*a^2","B"
189,1,447,75,0.053000," ","int(cosh(x)^5/(a+b*sinh(x)),x)","\frac{1}{4 b \left(\tanh \left(\frac{x}{2}\right)-1\right)^{4}}+\frac{1}{4 b \left(\tanh \left(\frac{x}{2}\right)+1\right)^{4}}+\frac{1}{2 b \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}+\frac{9}{8 b \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{7}{8 b \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{1}{2 b \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}+\frac{9}{8 b \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{7}{8 b \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\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{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{b}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{b}-\frac{2 \ln \left(\tanh \left(\frac{x}{2}\right)-1\right) a^{2}}{b^{3}}-\frac{2 \ln \left(\tanh \left(\frac{x}{2}\right)+1\right) a^{2}}{b^{3}}+\frac{2 \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right) a^{2}}{b^{3}}+\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right) a^{4}}{b^{5}}+\frac{a^{3}}{b^{4} \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{a}{3 b^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right) a^{4}}{b^{5}}+\frac{a^{2}}{2 b^{3} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{a}{3 b^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right) a^{4}}{b^{5}}+\frac{a^{2}}{2 b^{3} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{a^{3}}{b^{4} \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{2 a}{b^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{a}{2 b^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{a^{2}}{2 b^{3} \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{2 a}{b^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{a}{2 b^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{a^{2}}{2 b^{3} \left(\tanh \left(\frac{x}{2}\right)+1\right)}"," ",0,"1/b*ln(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)+1/4/b/(tanh(1/2*x)-1)^4+1/4/b/(tanh(1/2*x)+1)^4+1/2/b/(tanh(1/2*x)-1)^3+9/8/b/(tanh(1/2*x)-1)^2+7/8/b/(tanh(1/2*x)-1)-1/2/b/(tanh(1/2*x)+1)^3+9/8/b/(tanh(1/2*x)+1)^2-7/8/b/(tanh(1/2*x)+1)-1/b*ln(tanh(1/2*x)-1)-1/b*ln(tanh(1/2*x)+1)-2/b^3*ln(tanh(1/2*x)-1)*a^2-2/b^3*ln(tanh(1/2*x)+1)*a^2+1/b^4/(tanh(1/2*x)+1)*a^3+1/3/b^2/(tanh(1/2*x)+1)^3*a-1/b^5*ln(tanh(1/2*x)+1)*a^4+1/2/b^3/(tanh(1/2*x)+1)^2*a^2+1/3/b^2/(tanh(1/2*x)-1)^3*a-1/b^5*ln(tanh(1/2*x)-1)*a^4+1/2/b^3/(tanh(1/2*x)-1)^2*a^2+1/b^4/(tanh(1/2*x)-1)*a^3+1/b^5*ln(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)*a^4+2/b^3*ln(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)*a^2+2/b^2/(tanh(1/2*x)+1)*a+1/2/b^2/(tanh(1/2*x)-1)^2*a+1/2/b^3/(tanh(1/2*x)-1)*a^2+2/b^2/(tanh(1/2*x)-1)*a-1/2/b^2/(tanh(1/2*x)+1)^2*a-1/2/b^3/(tanh(1/2*x)+1)*a^2","B"
190,1,336,86,0.050000," ","int(cosh(x)^4/(a+b*sinh(x)),x)","\frac{2 a^{4} \arctanh \left(\frac{2 a \tanh \left(\frac{x}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{b^{4} \sqrt{a^{2}+b^{2}}}+\frac{4 a^{2} \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}}}+\frac{2 \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{1}{3 b \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}-\frac{a}{2 b^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{1}{2 b \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{a^{2}}{b^{3} \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{a}{2 b^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{3}{2 b \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{a^{3} \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{b^{4}}+\frac{3 a \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2 b^{2}}+\frac{1}{3 b \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}+\frac{a}{2 b^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{1}{2 b \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{a^{2}}{b^{3} \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{a}{2 b^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{3}{2 b \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{a^{3} \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{b^{4}}-\frac{3 a \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2 b^{2}}"," ",0,"2*a^4/b^4/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))+4*a^2/b^2/(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))-1/3/b/(tanh(1/2*x)-1)^3-1/2/b^2/(tanh(1/2*x)-1)^2*a-1/2/b/(tanh(1/2*x)-1)^2-1/b^3/(tanh(1/2*x)-1)*a^2-1/2/b^2/(tanh(1/2*x)-1)*a-3/2/b/(tanh(1/2*x)-1)+a^3/b^4*ln(tanh(1/2*x)-1)+3/2*a/b^2*ln(tanh(1/2*x)-1)+1/3/b/(tanh(1/2*x)+1)^3+1/2/b^2/(tanh(1/2*x)+1)^2*a-1/2/b/(tanh(1/2*x)+1)^2+1/b^3/(tanh(1/2*x)+1)*a^2-1/2/b^2/(tanh(1/2*x)+1)*a+3/2/b/(tanh(1/2*x)+1)-a^3/b^4*ln(tanh(1/2*x)+1)-3/2*a/b^2*ln(tanh(1/2*x)+1)","B"
191,1,185,36,0.044000," ","int(cosh(x)^3/(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) a^{2}}{b^{3}}+\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{1}{2 b \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{1}{2 b \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{a}{b^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right) a^{2}}{b^{3}}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{b}+\frac{1}{2 b \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{1}{2 b \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{a}{b^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right) a^{2}}{b^{3}}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{b}"," ",0,"1/b^3*ln(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)*a^2+1/b*ln(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)+1/2/b/(tanh(1/2*x)-1)^2+1/2/b/(tanh(1/2*x)-1)+1/b^2/(tanh(1/2*x)-1)*a-1/b^3*ln(tanh(1/2*x)-1)*a^2-1/b*ln(tanh(1/2*x)-1)+1/2/b/(tanh(1/2*x)+1)^2-1/2/b/(tanh(1/2*x)+1)+1/b^2/(tanh(1/2*x)+1)*a-1/b^3*ln(tanh(1/2*x)+1)*a^2-1/b*ln(tanh(1/2*x)+1)","B"
192,1,126,48,0.040000," ","int(cosh(x)^2/(a+b*sinh(x)),x)","\frac{2 a^{2} \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}}}+\frac{2 \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{1}{b \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{a \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{b^{2}}+\frac{1}{b \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{a \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{b^{2}}"," ",0,"2*a^2/b^2/(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))-1/b/(tanh(1/2*x)-1)+a/b^2*ln(tanh(1/2*x)-1)+1/b/(tanh(1/2*x)+1)-a/b^2*ln(tanh(1/2*x)+1)","B"
193,1,12,11,0.020000," ","int(cosh(x)/(a+b*sinh(x)),x)","\frac{\ln \left(a +b \sinh \left(x \right)\right)}{b}"," ",0,"ln(a+b*sinh(x))/b","A"
194,1,71,48,0.043000," ","int(sech(x)/(a+b*sinh(x)),x)","\frac{b \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)}{a^{2}+b^{2}}-\frac{b \ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}{a^{2}+b^{2}}+\frac{2 a \arctan \left(\tanh \left(\frac{x}{2}\right)\right)}{a^{2}+b^{2}}"," ",0,"b/(a^2+b^2)*ln(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)-1/(a^2+b^2)*b*ln(tanh(1/2*x)^2+1)+2/(a^2+b^2)*a*arctan(tanh(1/2*x))","A"
195,1,71,53,0.048000," ","int(sech(x)^2/(a+b*sinh(x)),x)","\frac{2 b^{2} \arctanh \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}}}-\frac{2 \left(-a \tanh \left(\frac{x}{2}\right)-b \right)}{\left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}"," ",0,"2*b^2/(a^2+b^2)^(3/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))-2/(a^2+b^2)*(-a*tanh(1/2*x)-b)/(tanh(1/2*x)^2+1)","A"
196,1,353,83,0.056000," ","int(sech(x)^3/(a+b*sinh(x)),x)","\frac{b^{3} \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)}{a^{4}+2 a^{2} b^{2}+b^{4}}-\frac{\left(\tanh^{3}\left(\frac{x}{2}\right)\right) a^{3}}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}-\frac{\left(\tanh^{3}\left(\frac{x}{2}\right)\right) a \,b^{2}}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}-\frac{2 \left(\tanh^{2}\left(\frac{x}{2}\right)\right) a^{2} b}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}-\frac{2 \left(\tanh^{2}\left(\frac{x}{2}\right)\right) b^{3}}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}+\frac{\tanh \left(\frac{x}{2}\right) a^{3}}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}+\frac{\tanh \left(\frac{x}{2}\right) a \,b^{2}}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}-\frac{b^{3} \ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}{a^{4}+2 a^{2} b^{2}+b^{4}}+\frac{\arctan \left(\tanh \left(\frac{x}{2}\right)\right) a^{3}}{a^{4}+2 a^{2} b^{2}+b^{4}}+\frac{3 \arctan \left(\tanh \left(\frac{x}{2}\right)\right) a \,b^{2}}{a^{4}+2 a^{2} b^{2}+b^{4}}"," ",0,"b^3/(a^4+2*a^2*b^2+b^4)*ln(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)-1/(a^4+2*a^2*b^2+b^4)/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)^3*a^3-1/(a^4+2*a^2*b^2+b^4)/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)^3*a*b^2-2/(a^4+2*a^2*b^2+b^4)/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)^2*a^2*b-2/(a^4+2*a^2*b^2+b^4)/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)^2*b^3+1/(a^4+2*a^2*b^2+b^4)/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)*a^3+1/(a^4+2*a^2*b^2+b^4)/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)*a*b^2-1/(a^4+2*a^2*b^2+b^4)*b^3*ln(tanh(1/2*x)^2+1)+1/(a^4+2*a^2*b^2+b^4)*arctan(tanh(1/2*x))*a^3+3/(a^4+2*a^2*b^2+b^4)*arctan(tanh(1/2*x))*a*b^2","B"
197,1,182,90,0.063000," ","int(sech(x)^4/(a+b*sinh(x)),x)","\frac{2 b^{4} \arctanh \left(\frac{2 a \tanh \left(\frac{x}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \sqrt{a^{2}+b^{2}}}-\frac{2 \left(\left(-a^{3}-2 a \,b^{2}\right) \left(\tanh^{5}\left(\frac{x}{2}\right)\right)+\left(-a^{2} b -2 b^{3}\right) \left(\tanh^{4}\left(\frac{x}{2}\right)\right)+\left(-\frac{2}{3} a^{3}-\frac{8}{3} a \,b^{2}\right) \left(\tanh^{3}\left(\frac{x}{2}\right)\right)-2 b^{3} \left(\tanh^{2}\left(\frac{x}{2}\right)\right)+\left(-a^{3}-2 a \,b^{2}\right) \tanh \left(\frac{x}{2}\right)-\frac{a^{2} b}{3}-\frac{4 b^{3}}{3}\right)}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}"," ",0,"2*b^4/(a^4+2*a^2*b^2+b^4)/(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^4+2*a^2*b^2+b^4)*((-a^3-2*a*b^2)*tanh(1/2*x)^5+(-a^2*b-2*b^3)*tanh(1/2*x)^4+(-2/3*a^3-8/3*a*b^2)*tanh(1/2*x)^3-2*b^3*tanh(1/2*x)^2+(-a^3-2*a*b^2)*tanh(1/2*x)-1/3*a^2*b-4/3*b^3)/(tanh(1/2*x)^2+1)^3","B"
198,1,1140,129,0.073000," ","int(sech(x)^5/(a+b*sinh(x)),x)","-\frac{4 \left(\tanh^{4}\left(\frac{x}{2}\right)\right) b^{5}}{\left(a^{6}+3 a^{4} b^{2}+3 a^{2} b^{4}+b^{6}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}-\frac{3 \left(\tanh^{3}\left(\frac{x}{2}\right)\right) a^{5}}{4 \left(a^{6}+3 a^{4} b^{2}+3 a^{2} b^{4}+b^{6}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}-\frac{4 \left(\tanh^{2}\left(\frac{x}{2}\right)\right) b^{5}}{\left(a^{6}+3 a^{4} b^{2}+3 a^{2} b^{4}+b^{6}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}+\frac{5 \tanh \left(\frac{x}{2}\right) a^{5}}{4 \left(a^{6}+3 a^{4} b^{2}+3 a^{2} b^{4}+b^{6}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}-\frac{5 \left(\tanh^{7}\left(\frac{x}{2}\right)\right) a^{5}}{4 \left(a^{6}+3 a^{4} b^{2}+3 a^{2} b^{4}+b^{6}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}-\frac{4 \left(\tanh^{6}\left(\frac{x}{2}\right)\right) b^{5}}{\left(a^{6}+3 a^{4} b^{2}+3 a^{2} b^{4}+b^{6}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}+\frac{3 \left(\tanh^{5}\left(\frac{x}{2}\right)\right) a^{5}}{4 \left(a^{6}+3 a^{4} b^{2}+3 a^{2} b^{4}+b^{6}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}+\frac{5 \arctan \left(\tanh \left(\frac{x}{2}\right)\right) a^{3} b^{2}}{2 \left(a^{6}+3 a^{4} b^{2}+3 a^{2} b^{4}+b^{6}\right)}+\frac{15 \arctan \left(\tanh \left(\frac{x}{2}\right)\right) a \,b^{4}}{4 \left(a^{6}+3 a^{4} b^{2}+3 a^{2} b^{4}+b^{6}\right)}-\frac{b^{5} \ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}{a^{6}+3 a^{4} b^{2}+3 a^{2} b^{4}+b^{6}}+\frac{b^{5} \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)}{a^{6}+3 a^{4} b^{2}+3 a^{2} b^{4}+b^{6}}+\frac{3 \arctan \left(\tanh \left(\frac{x}{2}\right)\right) a^{5}}{4 \left(a^{6}+3 a^{4} b^{2}+3 a^{2} b^{4}+b^{6}\right)}+\frac{\left(\tanh^{5}\left(\frac{x}{2}\right)\right) a^{3} b^{2}}{2 \left(a^{6}+3 a^{4} b^{2}+3 a^{2} b^{4}+b^{6}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}-\frac{\left(\tanh^{5}\left(\frac{x}{2}\right)\right) a \,b^{4}}{4 \left(a^{6}+3 a^{4} b^{2}+3 a^{2} b^{4}+b^{6}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}-\frac{4 \left(\tanh^{4}\left(\frac{x}{2}\right)\right) a^{2} b^{3}}{\left(a^{6}+3 a^{4} b^{2}+3 a^{2} b^{4}+b^{6}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}-\frac{\left(\tanh^{3}\left(\frac{x}{2}\right)\right) a^{3} b^{2}}{2 \left(a^{6}+3 a^{4} b^{2}+3 a^{2} b^{4}+b^{6}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}+\frac{\left(\tanh^{3}\left(\frac{x}{2}\right)\right) a \,b^{4}}{4 \left(a^{6}+3 a^{4} b^{2}+3 a^{2} b^{4}+b^{6}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}-\frac{2 \left(\tanh^{2}\left(\frac{x}{2}\right)\right) a^{4} b}{\left(a^{6}+3 a^{4} b^{2}+3 a^{2} b^{4}+b^{6}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}-\frac{6 \left(\tanh^{2}\left(\frac{x}{2}\right)\right) a^{2} b^{3}}{\left(a^{6}+3 a^{4} b^{2}+3 a^{2} b^{4}+b^{6}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}+\frac{7 \tanh \left(\frac{x}{2}\right) a^{3} b^{2}}{2 \left(a^{6}+3 a^{4} b^{2}+3 a^{2} b^{4}+b^{6}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}+\frac{9 \tanh \left(\frac{x}{2}\right) a \,b^{4}}{4 \left(a^{6}+3 a^{4} b^{2}+3 a^{2} b^{4}+b^{6}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}-\frac{7 \left(\tanh^{7}\left(\frac{x}{2}\right)\right) a^{3} b^{2}}{2 \left(a^{6}+3 a^{4} b^{2}+3 a^{2} b^{4}+b^{6}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}-\frac{9 \left(\tanh^{7}\left(\frac{x}{2}\right)\right) a \,b^{4}}{4 \left(a^{6}+3 a^{4} b^{2}+3 a^{2} b^{4}+b^{6}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}-\frac{2 \left(\tanh^{6}\left(\frac{x}{2}\right)\right) a^{4} b}{\left(a^{6}+3 a^{4} b^{2}+3 a^{2} b^{4}+b^{6}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}-\frac{6 \left(\tanh^{6}\left(\frac{x}{2}\right)\right) a^{2} b^{3}}{\left(a^{6}+3 a^{4} b^{2}+3 a^{2} b^{4}+b^{6}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}"," ",0,"-5/4/(a^6+3*a^4*b^2+3*a^2*b^4+b^6)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^7*a^5-4/(a^6+3*a^4*b^2+3*a^2*b^4+b^6)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^6*b^5+3/4/(a^6+3*a^4*b^2+3*a^2*b^4+b^6)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^5*a^5-4/(a^6+3*a^4*b^2+3*a^2*b^4+b^6)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^4*b^5-3/4/(a^6+3*a^4*b^2+3*a^2*b^4+b^6)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^3*a^5-4/(a^6+3*a^4*b^2+3*a^2*b^4+b^6)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^2*b^5+5/4/(a^6+3*a^4*b^2+3*a^2*b^4+b^6)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)*a^5+5/2/(a^6+3*a^4*b^2+3*a^2*b^4+b^6)*arctan(tanh(1/2*x))*a^3*b^2+15/4/(a^6+3*a^4*b^2+3*a^2*b^4+b^6)*arctan(tanh(1/2*x))*a*b^4-7/2/(a^6+3*a^4*b^2+3*a^2*b^4+b^6)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^7*a^3*b^2-9/4/(a^6+3*a^4*b^2+3*a^2*b^4+b^6)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^7*a*b^4-2/(a^6+3*a^4*b^2+3*a^2*b^4+b^6)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^6*a^4*b-6/(a^6+3*a^4*b^2+3*a^2*b^4+b^6)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^6*a^2*b^3+1/2/(a^6+3*a^4*b^2+3*a^2*b^4+b^6)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^5*a^3*b^2-1/4/(a^6+3*a^4*b^2+3*a^2*b^4+b^6)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^5*a*b^4-4/(a^6+3*a^4*b^2+3*a^2*b^4+b^6)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^4*a^2*b^3-1/2/(a^6+3*a^4*b^2+3*a^2*b^4+b^6)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^3*a^3*b^2+1/4/(a^6+3*a^4*b^2+3*a^2*b^4+b^6)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^3*a*b^4-2/(a^6+3*a^4*b^2+3*a^2*b^4+b^6)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^2*a^4*b-6/(a^6+3*a^4*b^2+3*a^2*b^4+b^6)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^2*a^2*b^3+7/2/(a^6+3*a^4*b^2+3*a^2*b^4+b^6)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)*a^3*b^2+9/4/(a^6+3*a^4*b^2+3*a^2*b^4+b^6)/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)*a*b^4-1/(a^6+3*a^4*b^2+3*a^2*b^4+b^6)*b^5*ln(tanh(1/2*x)^2+1)+3/4/(a^6+3*a^4*b^2+3*a^2*b^4+b^6)*arctan(tanh(1/2*x))*a^5+b^5/(a^6+3*a^4*b^2+3*a^2*b^4+b^6)*ln(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)","B"
199,1,350,134,0.080000," ","int(sech(x)^6/(a+b*sinh(x)),x)","\frac{2 b^{6} \arctanh \left(\frac{2 a \tanh \left(\frac{x}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{\left(a^{6}+3 a^{4} b^{2}+3 a^{2} b^{4}+b^{6}\right) \sqrt{a^{2}+b^{2}}}-\frac{2 \left(\left(-a^{5}-3 a^{3} b^{2}-3 a \,b^{4}\right) \left(\tanh^{9}\left(\frac{x}{2}\right)\right)+\left(-a^{4} b -3 a^{2} b^{3}-3 b^{5}\right) \left(\tanh^{8}\left(\frac{x}{2}\right)\right)+\left(-\frac{4}{3} a^{5}-\frac{16}{3} a^{3} b^{2}-8 a \,b^{4}\right) \left(\tanh^{7}\left(\frac{x}{2}\right)\right)+\left(-2 a^{2} b^{3}-6 b^{5}\right) \left(\tanh^{6}\left(\frac{x}{2}\right)\right)+\left(-\frac{58}{15} a^{5}-\frac{166}{15} a^{3} b^{2}-\frac{66}{5} a \,b^{4}\right) \left(\tanh^{5}\left(\frac{x}{2}\right)\right)+\left(-2 a^{4} b -\frac{16}{3} a^{2} b^{3}-\frac{28}{3} b^{5}\right) \left(\tanh^{4}\left(\frac{x}{2}\right)\right)+\left(-\frac{4}{3} a^{5}-\frac{16}{3} a^{3} b^{2}-8 a \,b^{4}\right) \left(\tanh^{3}\left(\frac{x}{2}\right)\right)+\left(-\frac{2}{3} a^{2} b^{3}-\frac{14}{3} b^{5}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)\right)+\left(-a^{5}-3 a^{3} b^{2}-3 a \,b^{4}\right) \tanh \left(\frac{x}{2}\right)-\frac{a^{4} b}{5}-\frac{11 a^{2} b^{3}}{15}-\frac{23 b^{5}}{15}\right)}{\left(a^{6}+3 a^{4} b^{2}+3 a^{2} b^{4}+b^{6}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{5}}"," ",0,"2*b^6/(a^6+3*a^4*b^2+3*a^2*b^4+b^6)/(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^6+3*a^4*b^2+3*a^2*b^4+b^6)*((-a^5-3*a^3*b^2-3*a*b^4)*tanh(1/2*x)^9+(-a^4*b-3*a^2*b^3-3*b^5)*tanh(1/2*x)^8+(-4/3*a^5-16/3*a^3*b^2-8*a*b^4)*tanh(1/2*x)^7+(-2*a^2*b^3-6*b^5)*tanh(1/2*x)^6+(-58/15*a^5-166/15*a^3*b^2-66/5*a*b^4)*tanh(1/2*x)^5+(-2*a^4*b-16/3*a^2*b^3-28/3*b^5)*tanh(1/2*x)^4+(-4/3*a^5-16/3*a^3*b^2-8*a*b^4)*tanh(1/2*x)^3+(-2/3*a^2*b^3-14/3*b^5)*tanh(1/2*x)^2+(-a^5-3*a^3*b^2-3*a*b^4)*tanh(1/2*x)-1/5*a^4*b-11/15*a^2*b^3-23/15*b^5)/(tanh(1/2*x)^2+1)^5","B"
200,1,290,84,0.080000," ","int(cosh(x)^4/(a+b*sinh(x))^2,x)","\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)}+\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 a^{2}}{b^{3} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)}+\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{6 a \sqrt{a^{2}+b^{2}}\, \arctanh \left(\frac{2 a \tanh \left(\frac{x}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{b^{4}}+\frac{1}{2 b^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{1}{2 b^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{2 a}{b^{3} \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)-1\right) a^{2}}{b^{4}}-\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2 b^{2}}-\frac{1}{2 b^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{1}{2 b^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{2 a}{b^{3} \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)+1\right) a^{2}}{b^{4}}+\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2 b^{2}}"," ",0,"2/b^2/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)*a*tanh(1/2*x)+2/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)/a*tanh(1/2*x)+2/b^3/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)*a^2+2/b/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)-6/b^4*a*(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))+1/2/b^2/(tanh(1/2*x)-1)^2+1/2/b^2/(tanh(1/2*x)-1)+2/b^3/(tanh(1/2*x)-1)*a-3/b^4*ln(tanh(1/2*x)-1)*a^2-3/2/b^2*ln(tanh(1/2*x)-1)-1/2/b^2/(tanh(1/2*x)+1)^2+1/2/b^2/(tanh(1/2*x)+1)-2/b^3/(tanh(1/2*x)+1)*a+3/b^4*ln(tanh(1/2*x)+1)*a^2+3/2/b^2*ln(tanh(1/2*x)+1)","B"
201,1,141,43,0.077000," ","int(cosh(x)^3/(a+b*sinh(x))^2,x)","-\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)}-\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 a \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)}{b^{3}}+\frac{2 a \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{b^{3}}-\frac{1}{b^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{2 a \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{b^{3}}-\frac{1}{b^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)}"," ",0,"-2/b^2/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)*a*tanh(1/2*x)-2/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)/a*tanh(1/2*x)-2/b^3*a*ln(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)+2*a/b^3*ln(tanh(1/2*x)-1)-1/b^2/(tanh(1/2*x)-1)+2*a/b^3*ln(tanh(1/2*x)+1)-1/b^2/(tanh(1/2*x)+1)","B"
202,1,119,56,0.061000," ","int(cosh(x)^2/(a+b*sinh(x))^2,x)","\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}}}-\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}}"," ",0,"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))-1/b^2*ln(tanh(1/2*x)-1)+1/b^2*ln(tanh(1/2*x)+1)","B"
203,1,14,13,0.033000," ","int(cosh(x)/(a+b*sinh(x))^2,x)","-\frac{1}{b \left(a +b \sinh \left(x \right)\right)}"," ",0,"-1/b/(a+b*sinh(x))","A"
204,1,201,79,0.072000," ","int(sech(x)/(a+b*sinh(x))^2,x)","-\frac{2 b^{2} a \tanh \left(\frac{x}{2}\right)}{\left(a^{2}+b^{2}\right)^{2} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)}-\frac{2 b^{4} \tanh \left(\frac{x}{2}\right)}{\left(a^{2}+b^{2}\right)^{2} a \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)}+\frac{2 b a \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)}{\left(a^{2}+b^{2}\right)^{2}}-\frac{2 a b \ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}{a^{4}+2 a^{2} b^{2}+b^{4}}+\frac{2 \arctan \left(\tanh \left(\frac{x}{2}\right)\right) a^{2}}{a^{4}+2 a^{2} b^{2}+b^{4}}-\frac{2 \arctan \left(\tanh \left(\frac{x}{2}\right)\right) b^{2}}{a^{4}+2 a^{2} b^{2}+b^{4}}"," ",0,"-2*b^2/(a^2+b^2)^2*a*tanh(1/2*x)/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)-2*b^4/(a^2+b^2)^2/a*tanh(1/2*x)/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)+2*b/(a^2+b^2)^2*a*ln(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)-2/(a^4+2*a^2*b^2+b^4)*a*b*ln(tanh(1/2*x)^2+1)+2/(a^4+2*a^2*b^2+b^4)*arctan(tanh(1/2*x))*a^2-2/(a^4+2*a^2*b^2+b^4)*arctan(tanh(1/2*x))*b^2","B"
205,1,138,87,0.067000," ","int(sech(x)^2/(a+b*sinh(x))^2,x)","-\frac{2 b^{2} \left(\frac{-\frac{b^{2} \tanh \left(\frac{x}{2}\right)}{a}-b}{a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a}-\frac{3 a \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}}}\right)}{\left(a^{2}+b^{2}\right)^{2}}-\frac{2 \left(\left(-a^{2}+b^{2}\right) \tanh \left(\frac{x}{2}\right)-2 a b \right)}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}"," ",0,"-2*b^2/(a^2+b^2)^2*((-b^2/a*tanh(1/2*x)-b)/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)-3*a/(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^4+2*a^2*b^2+b^4)*((-a^2+b^2)*tanh(1/2*x)-2*a*b)/(tanh(1/2*x)^2+1)","A"
206,1,548,130,0.099000," ","int(sech(x)^3/(a+b*sinh(x))^2,x)","-\frac{2 b^{4} a \tanh \left(\frac{x}{2}\right)}{\left(a^{2}+b^{2}\right)^{3} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)}-\frac{2 b^{6} \tanh \left(\frac{x}{2}\right)}{\left(a^{2}+b^{2}\right)^{3} a \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)}+\frac{4 b^{3} a \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)}{\left(a^{2}+b^{2}\right)^{3}}-\frac{\left(\tanh^{3}\left(\frac{x}{2}\right)\right) a^{4}}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}+\frac{\left(\tanh^{3}\left(\frac{x}{2}\right)\right) b^{4}}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}-\frac{4 \left(\tanh^{2}\left(\frac{x}{2}\right)\right) a^{3} b}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}-\frac{4 \left(\tanh^{2}\left(\frac{x}{2}\right)\right) a \,b^{3}}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}+\frac{\tanh \left(\frac{x}{2}\right) a^{4}}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}-\frac{\tanh \left(\frac{x}{2}\right) b^{4}}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}-\frac{4 a \,b^{3} \ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right)}+\frac{\arctan \left(\tanh \left(\frac{x}{2}\right)\right) a^{4}}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right)}+\frac{6 \arctan \left(\tanh \left(\frac{x}{2}\right)\right) a^{2} b^{2}}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right)}-\frac{3 \arctan \left(\tanh \left(\frac{x}{2}\right)\right) b^{4}}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right)}"," ",0,"-2*b^4/(a^2+b^2)^3*a*tanh(1/2*x)/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)-2*b^6/(a^2+b^2)^3/a*tanh(1/2*x)/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)+4*b^3/(a^2+b^2)^3*a*ln(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)-1/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)^3*a^4+1/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)^3*b^4-4/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)^2*a^3*b-4/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)^2*a*b^3+1/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)*a^4-1/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)*b^4-4/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)*a*b^3*ln(tanh(1/2*x)^2+1)+1/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)*arctan(tanh(1/2*x))*a^4+6/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)*arctan(tanh(1/2*x))*a^2*b^2-3/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)*arctan(tanh(1/2*x))*b^4","B"
207,1,266,134,0.119000," ","int(sech(x)^4/(a+b*sinh(x))^2,x)","-\frac{2 b^{4} \left(\frac{-\frac{b^{2} \tanh \left(\frac{x}{2}\right)}{a}-b}{a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a}-\frac{5 a \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}}}\right)}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right)}-\frac{2 \left(\left(-a^{4}-3 a^{2} b^{2}+2 b^{4}\right) \left(\tanh^{5}\left(\frac{x}{2}\right)\right)+\left(-2 a^{3} b -6 a \,b^{3}\right) \left(\tanh^{4}\left(\frac{x}{2}\right)\right)+\left(-\frac{2}{3} a^{4}-6 a^{2} b^{2}+\frac{8}{3} b^{4}\right) \left(\tanh^{3}\left(\frac{x}{2}\right)\right)-8 a \,b^{3} \left(\tanh^{2}\left(\frac{x}{2}\right)\right)+\left(-a^{4}-3 a^{2} b^{2}+2 b^{4}\right) \tanh \left(\frac{x}{2}\right)-\frac{2 a^{3} b}{3}-\frac{14 a \,b^{3}}{3}\right)}{\left(a^{2}+b^{2}\right) \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}"," ",0,"-2*b^4/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)*((-b^2/a*tanh(1/2*x)-b)/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)-5*a/(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)/(a^4+2*a^2*b^2+b^4)*((-a^4-3*a^2*b^2+2*b^4)*tanh(1/2*x)^5+(-2*a^3*b-6*a*b^3)*tanh(1/2*x)^4+(-2/3*a^4-6*a^2*b^2+8/3*b^4)*tanh(1/2*x)^3-8*a*b^3*tanh(1/2*x)^2+(-a^4-3*a^2*b^2+2*b^4)*tanh(1/2*x)-2/3*a^3*b-14/3*a*b^3)/(tanh(1/2*x)^2+1)^3","A"
208,1,93,24,0.097000," ","int(tanh(x)^4/(I+sinh(x)),x)","\frac{i}{3 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{3}}-\frac{2 i}{5 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{5}}-\frac{3 i}{8 \left(\tanh \left(\frac{x}{2}\right)+i\right)}+\frac{1}{\left(\tanh \left(\frac{x}{2}\right)+i\right)^{4}}+\frac{1}{2 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{2}}+\frac{3 i}{8 \left(\tanh \left(\frac{x}{2}\right)-i\right)}+\frac{i}{6 \left(\tanh \left(\frac{x}{2}\right)-i\right)^{3}}+\frac{1}{4 \left(\tanh \left(\frac{x}{2}\right)-i\right)^{2}}"," ",0,"1/3*I/(tanh(1/2*x)+I)^3-2/5*I/(tanh(1/2*x)+I)^5-3/8*I/(tanh(1/2*x)+I)+1/(tanh(1/2*x)+I)^4+1/2/(tanh(1/2*x)+I)^2+3/8*I/(tanh(1/2*x)-I)+1/6*I/(tanh(1/2*x)-I)^3+1/4/(tanh(1/2*x)-I)^2","B"
209,1,79,27,0.088000," ","int(tanh(x)^3/(I+sinh(x)),x)","-\frac{i}{2 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{4}}+\frac{3 i \ln \left(\tanh \left(\frac{x}{2}\right)+i\right)}{8}+\frac{1}{\left(\tanh \left(\frac{x}{2}\right)+i\right)^{3}}+\frac{1}{2 \tanh \left(\frac{x}{2}\right)+2 i}-\frac{3 i \ln \left(\tanh \left(\frac{x}{2}\right)-i\right)}{8}+\frac{i}{4 \left(\tanh \left(\frac{x}{2}\right)-i\right)^{2}}+\frac{1}{4 \tanh \left(\frac{x}{2}\right)-4 i}"," ",0,"-1/2*I/(tanh(1/2*x)+I)^4+3/8*I*ln(tanh(1/2*x)+I)+1/(tanh(1/2*x)+I)^3+1/2/(tanh(1/2*x)+I)-3/8*I*ln(tanh(1/2*x)-I)+1/4*I/(tanh(1/2*x)-I)^2+1/4/(tanh(1/2*x)-I)","B"
210,1,47,18,0.060000," ","int(tanh(x)^2/(I+sinh(x)),x)","-\frac{2 i}{3 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{3}}-\frac{i}{2 \left(\tanh \left(\frac{x}{2}\right)+i\right)}+\frac{1}{\left(\tanh \left(\frac{x}{2}\right)+i\right)^{2}}+\frac{i}{2 \tanh \left(\frac{x}{2}\right)-2 i}"," ",0,"-2/3*I/(tanh(1/2*x)+I)^3-1/2*I/(tanh(1/2*x)+I)+1/(tanh(1/2*x)+I)^2+1/2*I/(tanh(1/2*x)-I)","B"
211,1,45,19,0.059000," ","int(tanh(x)/(I+sinh(x)),x)","-\frac{i}{\left(\tanh \left(\frac{x}{2}\right)+i\right)^{2}}+\frac{i \ln \left(\tanh \left(\frac{x}{2}\right)+i\right)}{2}+\frac{1}{\tanh \left(\frac{x}{2}\right)+i}-\frac{i \ln \left(\tanh \left(\frac{x}{2}\right)-i\right)}{2}"," ",0,"-I/(tanh(1/2*x)+I)^2+1/2*I*ln(tanh(1/2*x)+I)+1/(tanh(1/2*x)+I)-1/2*I*ln(tanh(1/2*x)-I)","B"
212,1,17,16,0.037000," ","int(coth(x)/(I+sinh(x)),x)","-i \ln \left(\sinh \left(x \right)\right)+i \ln \left(i+\sinh \left(x \right)\right)"," ",0,"-I*ln(sinh(x))+I*ln(I+sinh(x))","A"
213,1,23,11,0.043000," ","int(coth(x)^2/(I+sinh(x)),x)","\frac{i \tanh \left(\frac{x}{2}\right)}{2}+\frac{i}{2 \tanh \left(\frac{x}{2}\right)}+\ln \left(\tanh \left(\frac{x}{2}\right)\right)"," ",0,"1/2*I*tanh(1/2*x)+1/2*I/tanh(1/2*x)+ln(tanh(1/2*x))","A"
214,1,34,12,0.066000," ","int(coth(x)^3/(I+sinh(x)),x)","\frac{\tanh \left(\frac{x}{2}\right)}{2}+\frac{i \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{8}-\frac{1}{2 \tanh \left(\frac{x}{2}\right)}+\frac{i}{8 \tanh \left(\frac{x}{2}\right)^{2}}"," ",0,"1/2*tanh(1/2*x)+1/8*I*tanh(1/2*x)^2-1/2/tanh(1/2*x)+1/8*I/tanh(1/2*x)^2","B"
215,1,59,19,0.074000," ","int(coth(x)^4/(I+sinh(x)),x)","\frac{i \tanh \left(\frac{x}{2}\right)}{8}+\frac{i \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{24}+\frac{\left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{8}+\frac{i}{24 \tanh \left(\frac{x}{2}\right)^{3}}+\frac{i}{8 \tanh \left(\frac{x}{2}\right)}-\frac{1}{8 \tanh \left(\frac{x}{2}\right)^{2}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right)}{2}"," ",0,"1/8*I*tanh(1/2*x)+1/24*I*tanh(1/2*x)^3+1/8*tanh(1/2*x)^2+1/24*I/tanh(1/2*x)^3+1/8*I/tanh(1/2*x)-1/8/tanh(1/2*x)^2+1/2*ln(tanh(1/2*x))","B"
216,1,68,18,0.089000," ","int(coth(x)^5/(I+sinh(x)),x)","\frac{3 \tanh \left(\frac{x}{2}\right)}{8}+\frac{i \left(\tanh^{4}\left(\frac{x}{2}\right)\right)}{64}+\frac{\left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{24}+\frac{i \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{16}-\frac{1}{24 \tanh \left(\frac{x}{2}\right)^{3}}+\frac{i}{64 \tanh \left(\frac{x}{2}\right)^{4}}-\frac{3}{8 \tanh \left(\frac{x}{2}\right)}+\frac{i}{16 \tanh \left(\frac{x}{2}\right)^{2}}"," ",0,"3/8*tanh(1/2*x)+1/64*I*tanh(1/2*x)^4+1/24*tanh(1/2*x)^3+1/16*I*tanh(1/2*x)^2-1/24/tanh(1/2*x)^3+1/64*I/tanh(1/2*x)^4-3/8/tanh(1/2*x)+1/16*I/tanh(1/2*x)^2","B"
217,1,93,27,0.096000," ","int(coth(x)^6/(I+sinh(x)),x)","\frac{i \tanh \left(\frac{x}{2}\right)}{16}+\frac{i \left(\tanh^{5}\left(\frac{x}{2}\right)\right)}{160}+\frac{\left(\tanh^{4}\left(\frac{x}{2}\right)\right)}{64}+\frac{i \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{32}+\frac{\left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{8}+\frac{i}{160 \tanh \left(\frac{x}{2}\right)^{5}}+\frac{i}{32 \tanh \left(\frac{x}{2}\right)^{3}}-\frac{1}{64 \tanh \left(\frac{x}{2}\right)^{4}}+\frac{i}{16 \tanh \left(\frac{x}{2}\right)}-\frac{1}{8 \tanh \left(\frac{x}{2}\right)^{2}}+\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)\right)}{8}"," ",0,"1/16*I*tanh(1/2*x)+1/160*I*tanh(1/2*x)^5+1/64*tanh(1/2*x)^4+1/32*I*tanh(1/2*x)^3+1/8*tanh(1/2*x)^2+1/160*I/tanh(1/2*x)^5+1/32*I/tanh(1/2*x)^3-1/64/tanh(1/2*x)^4+1/16*I/tanh(1/2*x)-1/8/tanh(1/2*x)^2+3/8*ln(tanh(1/2*x))","B"
218,1,116,34,0.121000," ","int(tanh(x)^4/(I+sinh(x))^2,x)","\frac{2 i}{\left(\tanh \left(\frac{x}{2}\right)+i\right)^{6}}-\frac{i}{\left(\tanh \left(\frac{x}{2}\right)+i\right)^{4}}-\frac{i}{8 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{2}}+\frac{4}{7 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{7}}-\frac{12}{5 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{5}}-\frac{1}{12 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{3}}-\frac{1}{8 \left(\tanh \left(\frac{x}{2}\right)+i\right)}-\frac{i}{8 \left(\tanh \left(\frac{x}{2}\right)-i\right)^{2}}+\frac{1}{12 \left(\tanh \left(\frac{x}{2}\right)-i\right)^{3}}+\frac{1}{8 \tanh \left(\frac{x}{2}\right)-8 i}"," ",0,"2*I/(tanh(1/2*x)+I)^6-I/(tanh(1/2*x)+I)^4-1/8*I/(tanh(1/2*x)+I)^2+4/7/(tanh(1/2*x)+I)^7-12/5/(tanh(1/2*x)+I)^5-1/12/(tanh(1/2*x)+I)^3-1/8/(tanh(1/2*x)+I)-1/8*I/(tanh(1/2*x)-I)^2+1/12/(tanh(1/2*x)-I)^3+1/8/(tanh(1/2*x)-I)","B"
219,1,114,48,0.108000," ","int(tanh(x)^3/(I+sinh(x))^2,x)","\frac{2 i}{\left(\tanh \left(\frac{x}{2}\right)+i\right)^{5}}-\frac{2 i}{3 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{3}}-\frac{i}{8 \left(\tanh \left(\frac{x}{2}\right)+i\right)}+\frac{2}{3 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{6}}-\frac{2}{\left(\tanh \left(\frac{x}{2}\right)+i\right)^{4}}-\frac{1}{8 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{2}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+i\right)}{8}-\frac{i}{8 \left(\tanh \left(\frac{x}{2}\right)-i\right)}+\frac{1}{8 \left(\tanh \left(\frac{x}{2}\right)-i\right)^{2}}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-i\right)}{8}"," ",0,"2*I/(tanh(1/2*x)+I)^5-2/3*I/(tanh(1/2*x)+I)^3-1/8*I/(tanh(1/2*x)+I)+2/3/(tanh(1/2*x)+I)^6-2/(tanh(1/2*x)+I)^4-1/8/(tanh(1/2*x)+I)^2+1/8*ln(tanh(1/2*x)+I)-1/8*I/(tanh(1/2*x)-I)+1/8/(tanh(1/2*x)-I)^2-1/8*ln(tanh(1/2*x)-I)","B"
220,1,70,27,0.084000," ","int(tanh(x)^2/(I+sinh(x))^2,x)","\frac{2 i}{\left(\tanh \left(\frac{x}{2}\right)+i\right)^{4}}-\frac{i}{2 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{2}}+\frac{4}{5 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{5}}-\frac{5}{3 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{3}}-\frac{1}{4 \left(\tanh \left(\frac{x}{2}\right)+i\right)}+\frac{1}{4 \tanh \left(\frac{x}{2}\right)-4 i}"," ",0,"2*I/(tanh(1/2*x)+I)^4-1/2*I/(tanh(1/2*x)+I)^2+4/5/(tanh(1/2*x)+I)^5-5/3/(tanh(1/2*x)+I)^3-1/4/(tanh(1/2*x)+I)+1/4/(tanh(1/2*x)-I)","B"
221,1,66,26,0.082000," ","int(tanh(x)/(I+sinh(x))^2,x)","\frac{2 i}{\left(\tanh \left(\frac{x}{2}\right)+i\right)^{3}}-\frac{i}{2 \left(\tanh \left(\frac{x}{2}\right)+i\right)}+\frac{1}{\left(\tanh \left(\frac{x}{2}\right)+i\right)^{4}}-\frac{3}{2 \left(\tanh \left(\frac{x}{2}\right)+i\right)^{2}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+i\right)}{4}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-i\right)}{4}"," ",0,"2*I/(tanh(1/2*x)+I)^3-1/2*I/(tanh(1/2*x)+I)+1/(tanh(1/2*x)+I)^4-3/2/(tanh(1/2*x)+I)^2+1/4*ln(tanh(1/2*x)+I)-1/4*ln(tanh(1/2*x)-I)","B"
222,1,23,22,0.058000," ","int(coth(x)/(I+sinh(x))^2,x)","-\ln \left(\sinh \left(x \right)\right)+\ln \left(i+\sinh \left(x \right)\right)-\frac{i}{i+\sinh \left(x \right)}"," ",0,"-ln(sinh(x))+ln(I+sinh(x))-I/(I+sinh(x))","A"
223,1,35,23,0.077000," ","int(coth(x)^2/(I+sinh(x))^2,x)","\frac{\tanh \left(\frac{x}{2}\right)}{2}+\frac{4}{\tanh \left(\frac{x}{2}\right)+i}-2 i \ln \left(\tanh \left(\frac{x}{2}\right)\right)+\frac{1}{2 \tanh \left(\frac{x}{2}\right)}"," ",0,"1/2*tanh(1/2*x)+4/(tanh(1/2*x)+I)-2*I*ln(tanh(1/2*x))+1/2/tanh(1/2*x)","A"
224,1,51,25,0.096000," ","int(coth(x)^3/(I+sinh(x))^2,x)","-i \tanh \left(\frac{x}{2}\right)+\frac{\left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{8}-4 \ln \left(\tanh \left(\frac{x}{2}\right)+i\right)+\frac{i}{\tanh \left(\frac{x}{2}\right)}+\frac{1}{8 \tanh \left(\frac{x}{2}\right)^{2}}+2 \ln \left(\tanh \left(\frac{x}{2}\right)\right)"," ",0,"-I*tanh(1/2*x)+1/8*tanh(1/2*x)^2-4*ln(tanh(1/2*x)+I)+I/tanh(1/2*x)+1/8/tanh(1/2*x)^2+2*ln(tanh(1/2*x))","A"
225,1,58,24,0.076000," ","int(coth(x)^4/(I+sinh(x))^2,x)","-\frac{7 \tanh \left(\frac{x}{2}\right)}{8}+\frac{\left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{24}-\frac{i \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{4}+\frac{1}{24 \tanh \left(\frac{x}{2}\right)^{3}}-\frac{7}{8 \tanh \left(\frac{x}{2}\right)}+\frac{i}{4 \tanh \left(\frac{x}{2}\right)^{2}}+i \ln \left(\tanh \left(\frac{x}{2}\right)\right)"," ",0,"-7/8*tanh(1/2*x)+1/24*tanh(1/2*x)^3-1/4*I*tanh(1/2*x)^2+1/24/tanh(1/2*x)^3-7/8/tanh(1/2*x)+1/4*I/tanh(1/2*x)^2+I*ln(tanh(1/2*x))","B"
226,1,68,20,0.092000," ","int(coth(x)^5/(I+sinh(x))^2,x)","\frac{i \tanh \left(\frac{x}{2}\right)}{4}+\frac{\left(\tanh^{4}\left(\frac{x}{2}\right)\right)}{64}-\frac{i \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{12}-\frac{3 \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{16}+\frac{i}{12 \tanh \left(\frac{x}{2}\right)^{3}}+\frac{1}{64 \tanh \left(\frac{x}{2}\right)^{4}}-\frac{i}{4 \tanh \left(\frac{x}{2}\right)}-\frac{3}{16 \tanh \left(\frac{x}{2}\right)^{2}}"," ",0,"1/4*I*tanh(1/2*x)+1/64*tanh(1/2*x)^4-1/12*I*tanh(1/2*x)^3-3/16*tanh(1/2*x)^2+1/12*I/tanh(1/2*x)^3+1/64/tanh(1/2*x)^4-1/4*I/tanh(1/2*x)-3/16/tanh(1/2*x)^2","B"
227,1,74,35,0.108000," ","int(coth(x)^6/(I+sinh(x))^2,x)","-\frac{3 \tanh \left(\frac{x}{2}\right)}{16}+\frac{\left(\tanh^{5}\left(\frac{x}{2}\right)\right)}{160}-\frac{i \left(\tanh^{4}\left(\frac{x}{2}\right)\right)}{32}-\frac{5 \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{96}-\frac{5}{96 \tanh \left(\frac{x}{2}\right)^{3}}+\frac{i}{32 \tanh \left(\frac{x}{2}\right)^{4}}-\frac{3}{16 \tanh \left(\frac{x}{2}\right)}+\frac{i \ln \left(\tanh \left(\frac{x}{2}\right)\right)}{4}+\frac{1}{160 \tanh \left(\frac{x}{2}\right)^{5}}"," ",0,"-3/16*tanh(1/2*x)+1/160*tanh(1/2*x)^5-1/32*I*tanh(1/2*x)^4-5/96*tanh(1/2*x)^3-5/96/tanh(1/2*x)^3+1/32*I/tanh(1/2*x)^4-3/16/tanh(1/2*x)+1/4*I*ln(tanh(1/2*x))+1/160/tanh(1/2*x)^5","B"
228,1,163,114,0.065000," ","int(tanh(x)^4/(a+b*sinh(x)),x)","\frac{32 a^{4} \arctanh \left(\frac{2 a \tanh \left(\frac{x}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{\left(16 a^{4}+32 a^{2} b^{2}+16 b^{4}\right) \sqrt{a^{2}+b^{2}}}+\frac{-2 a^{3} \left(\tanh^{5}\left(\frac{x}{2}\right)\right)-2 a^{2} b \left(\tanh^{4}\left(\frac{x}{2}\right)\right)+2 \left(-\frac{10}{3} a^{3}-\frac{4}{3} a \,b^{2}\right) \left(\tanh^{3}\left(\frac{x}{2}\right)\right)+2 \left(-4 a^{2} b -2 b^{3}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 a^{3} \tanh \left(\frac{x}{2}\right)-\frac{10 a^{2} b}{3}-\frac{4 b^{3}}{3}}{\left(a^{2}+b^{2}\right)^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}"," ",0,"32*a^4/(16*a^4+32*a^2*b^2+16*b^4)/(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)^2*(-a^3*tanh(1/2*x)^5-a^2*b*tanh(1/2*x)^4+(-10/3*a^3-4/3*a*b^2)*tanh(1/2*x)^3+(-4*a^2*b-2*b^3)*tanh(1/2*x)^2-a^3*tanh(1/2*x)-5/3*a^2*b-2/3*b^3)/(tanh(1/2*x)^2+1)^3","A"
229,1,357,84,0.063000," ","int(tanh(x)^3/(a+b*sinh(x)),x)","-\frac{8 a^{3} \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)}{8 a^{4}+16 a^{2} b^{2}+8 b^{4}}+\frac{\left(\tanh^{3}\left(\frac{x}{2}\right)\right) a^{2} b}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}+\frac{\left(\tanh^{3}\left(\frac{x}{2}\right)\right) b^{3}}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}-\frac{2 \left(\tanh^{2}\left(\frac{x}{2}\right)\right) a^{3}}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}-\frac{2 \left(\tanh^{2}\left(\frac{x}{2}\right)\right) a \,b^{2}}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}-\frac{\tanh \left(\frac{x}{2}\right) a^{2} b}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}-\frac{\tanh \left(\frac{x}{2}\right) b^{3}}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}+\frac{a^{3} \ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}{a^{4}+2 a^{2} b^{2}+b^{4}}+\frac{3 \arctan \left(\tanh \left(\frac{x}{2}\right)\right) a^{2} b}{a^{4}+2 a^{2} b^{2}+b^{4}}+\frac{\arctan \left(\tanh \left(\frac{x}{2}\right)\right) b^{3}}{a^{4}+2 a^{2} b^{2}+b^{4}}"," ",0,"-8*a^3/(8*a^4+16*a^2*b^2+8*b^4)*ln(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)+1/(a^4+2*a^2*b^2+b^4)/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)^3*a^2*b+1/(a^4+2*a^2*b^2+b^4)/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)^3*b^3-2/(a^4+2*a^2*b^2+b^4)/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)^2*a^3-2/(a^4+2*a^2*b^2+b^4)/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)^2*a*b^2-1/(a^4+2*a^2*b^2+b^4)/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)*a^2*b-1/(a^4+2*a^2*b^2+b^4)/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)*b^3+1/(a^4+2*a^2*b^2+b^4)*a^3*ln(tanh(1/2*x)^2+1)+3/(a^4+2*a^2*b^2+b^4)*arctan(tanh(1/2*x))*a^2*b+1/(a^4+2*a^2*b^2+b^4)*arctan(tanh(1/2*x))*b^3","B"
230,1,84,63,0.053000," ","int(tanh(x)^2/(a+b*sinh(x)),x)","\frac{8 a^{2} \arctanh \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}}}+\frac{-2 a \tanh \left(\frac{x}{2}\right)-2 b}{\left(a^{2}+b^{2}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}"," ",0,"8*a^2/(4*a^2+4*b^2)/(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)*(-a*tanh(1/2*x)-b)/(tanh(1/2*x)^2+1)","A"
231,1,84,48,0.046000," ","int(tanh(x)/(a+b*sinh(x)),x)","-\frac{2 a \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)}{2 a^{2}+2 b^{2}}+\frac{2 a \ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}{2 a^{2}+2 b^{2}}+\frac{4 b \arctan \left(\tanh \left(\frac{x}{2}\right)\right)}{2 a^{2}+2 b^{2}}"," ",0,"-2*a/(2*a^2+2*b^2)*ln(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)+2/(2*a^2+2*b^2)*a*ln(tanh(1/2*x)^2+1)+4/(2*a^2+2*b^2)*b*arctan(tanh(1/2*x))","A"
232,1,21,20,0.041000," ","int(coth(x)/(a+b*sinh(x)),x)","\frac{\ln \left(\sinh \left(x \right)\right)}{a}-\frac{\ln \left(a +b \sinh \left(x \right)\right)}{a}"," ",0,"ln(sinh(x))/a-ln(a+b*sinh(x))/a","A"
233,1,107,50,0.057000," ","int(coth(x)^2/(a+b*sinh(x)),x)","-\frac{\tanh \left(\frac{x}{2}\right)}{2 a}+\frac{2 \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 b^{2} \arctanh \left(\frac{2 a \tanh \left(\frac{x}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{a^{2} \sqrt{a^{2}+b^{2}}}-\frac{1}{2 a \tanh \left(\frac{x}{2}\right)}-\frac{b \ln \left(\tanh \left(\frac{x}{2}\right)\right)}{a^{2}}"," ",0,"-1/2/a*tanh(1/2*x)+2/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))+2*b^2/a^2/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))-1/2/a/tanh(1/2*x)-1/a^2*b*ln(tanh(1/2*x))","B"
234,1,120,50,0.066000," ","int(coth(x)^3/(a+b*sinh(x)),x)","-\frac{\tanh^{2}\left(\frac{x}{2}\right)}{8 a}-\frac{\tanh \left(\frac{x}{2}\right) b}{2 a^{2}}-\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)}{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^{2}}{a^{3}}-\frac{1}{8 a \tanh \left(\frac{x}{2}\right)^{2}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right)}{a}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right) b^{2}}{a^{3}}+\frac{b}{2 a^{2} \tanh \left(\frac{x}{2}\right)}"," ",0,"-1/8/a*tanh(1/2*x)^2-1/2/a^2*tanh(1/2*x)*b-1/a*ln(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)-1/a^3*ln(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)*b^2-1/8/a/tanh(1/2*x)^2+1/a*ln(tanh(1/2*x))+1/a^3*ln(tanh(1/2*x))*b^2+1/2*b/a^2/tanh(1/2*x)","B"
235,1,232,94,0.065000," ","int(coth(x)^4/(a+b*sinh(x)),x)","-\frac{\tanh^{3}\left(\frac{x}{2}\right)}{24 a}-\frac{b \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{8 a^{2}}-\frac{5 \tanh \left(\frac{x}{2}\right)}{8 a}-\frac{b^{2} \tanh \left(\frac{x}{2}\right)}{2 a^{3}}+\frac{2 \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{4 b^{2} \arctanh \left(\frac{2 a \tanh \left(\frac{x}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{a^{2} \sqrt{a^{2}+b^{2}}}+\frac{2 b^{4} \arctanh \left(\frac{2 a \tanh \left(\frac{x}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{a^{4} \sqrt{a^{2}+b^{2}}}-\frac{1}{24 a \tanh \left(\frac{x}{2}\right)^{3}}-\frac{5}{8 a \tanh \left(\frac{x}{2}\right)}-\frac{b^{2}}{2 a^{3} \tanh \left(\frac{x}{2}\right)}+\frac{b}{8 a^{2} \tanh \left(\frac{x}{2}\right)^{2}}-\frac{3 b \ln \left(\tanh \left(\frac{x}{2}\right)\right)}{2 a^{2}}-\frac{b^{3} \ln \left(\tanh \left(\frac{x}{2}\right)\right)}{a^{4}}"," ",0,"-1/24/a*tanh(1/2*x)^3-1/8/a^2*b*tanh(1/2*x)^2-5/8/a*tanh(1/2*x)-1/2/a^3*b^2*tanh(1/2*x)+2/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))+4*b^2/a^2/(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^4*b^4/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))-1/24/a/tanh(1/2*x)^3-5/8/a/tanh(1/2*x)-1/2/a^3/tanh(1/2*x)*b^2+1/8/a^2*b/tanh(1/2*x)^2-3/2/a^2*b*ln(tanh(1/2*x))-1/a^4*b^3*ln(tanh(1/2*x))","B"
236,1,262,208,0.103000," ","int(tanh(x)^4/(a+b*sinh(x))^2,x)","-\frac{2 a^{3} \left(\frac{-b^{2} \tanh \left(\frac{x}{2}\right)-a b}{a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a}-\frac{\left(a^{2}-4 b^{2}\right) \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}}}\right)}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right)}+\frac{2 \left(-a^{4}+3 a^{2} b^{2}\right) \left(\tanh^{5}\left(\frac{x}{2}\right)\right)+2 \left(-2 a^{3} b +2 a \,b^{3}\right) \left(\tanh^{4}\left(\frac{x}{2}\right)\right)+2 \left(-\frac{10}{3} a^{4}+6 a^{2} b^{2}+\frac{4}{3} b^{4}\right) \left(\tanh^{3}\left(\frac{x}{2}\right)\right)-16 a^{3} b \left(\tanh^{2}\left(\frac{x}{2}\right)\right)+2 \left(-a^{4}+3 a^{2} b^{2}\right) \tanh \left(\frac{x}{2}\right)-\frac{20 a^{3} b}{3}+\frac{4 a \,b^{3}}{3}}{\left(a^{2}+b^{2}\right) \left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}"," ",0,"-2*a^3/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)*((-b^2*tanh(1/2*x)-a*b)/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)-(a^2-4*b^2)/(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)/(a^4+2*a^2*b^2+b^4)*((-a^4+3*a^2*b^2)*tanh(1/2*x)^5+(-2*a^3*b+2*a*b^3)*tanh(1/2*x)^4+(-10/3*a^4+6*a^2*b^2+4/3*b^4)*tanh(1/2*x)^3-8*a^3*b*tanh(1/2*x)^2+(-a^4+3*a^2*b^2)*tanh(1/2*x)-10/3*a^3*b+2/3*a*b^3)/(tanh(1/2*x)^2+1)^3","A"
237,1,491,133,0.096000," ","int(tanh(x)^3/(a+b*sinh(x))^2,x)","\frac{2 a^{4} \tanh \left(\frac{x}{2}\right) b}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right) \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)}+\frac{2 a^{2} \tanh \left(\frac{x}{2}\right) b^{3}}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right) \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)}-\frac{a^{4} \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right)}+\frac{3 a^{2} \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right) b^{2}}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(a^{2}+b^{2}\right)}+\frac{2 \left(\tanh^{3}\left(\frac{x}{2}\right)\right) a^{3} b}{\left(a^{2}+b^{2}\right)^{3} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}+\frac{2 \left(\tanh^{3}\left(\frac{x}{2}\right)\right) a \,b^{3}}{\left(a^{2}+b^{2}\right)^{3} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}-\frac{2 \left(\tanh^{2}\left(\frac{x}{2}\right)\right) a^{4}}{\left(a^{2}+b^{2}\right)^{3} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}+\frac{2 \left(\tanh^{2}\left(\frac{x}{2}\right)\right) b^{4}}{\left(a^{2}+b^{2}\right)^{3} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}-\frac{2 \tanh \left(\frac{x}{2}\right) a^{3} b}{\left(a^{2}+b^{2}\right)^{3} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}-\frac{2 \tanh \left(\frac{x}{2}\right) a \,b^{3}}{\left(a^{2}+b^{2}\right)^{3} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}+\frac{\ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right) a^{4}}{\left(a^{2}+b^{2}\right)^{3}}-\frac{3 \ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right) a^{2} b^{2}}{\left(a^{2}+b^{2}\right)^{3}}+\frac{6 \arctan \left(\tanh \left(\frac{x}{2}\right)\right) a^{3} b}{\left(a^{2}+b^{2}\right)^{3}}-\frac{2 a \arctan \left(\tanh \left(\frac{x}{2}\right)\right) b^{3}}{\left(a^{2}+b^{2}\right)^{3}}"," ",0,"2*a^4/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)*tanh(1/2*x)/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)*b+2*a^2/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)*tanh(1/2*x)/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)*b^3-a^4/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)*ln(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)+3*a^2/(a^4+2*a^2*b^2+b^4)/(a^2+b^2)*ln(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)*b^2+2/(a^2+b^2)^3/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)^3*a^3*b+2/(a^2+b^2)^3/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)^3*a*b^3-2/(a^2+b^2)^3/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)^2*a^4+2/(a^2+b^2)^3/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)^2*b^4-2/(a^2+b^2)^3/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)*a^3*b-2/(a^2+b^2)^3/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)*a*b^3+1/(a^2+b^2)^3*ln(tanh(1/2*x)^2+1)*a^4-3/(a^2+b^2)^3*ln(tanh(1/2*x)^2+1)*a^2*b^2+6/(a^2+b^2)^3*arctan(tanh(1/2*x))*a^3*b-2/(a^2+b^2)^3*a*arctan(tanh(1/2*x))*b^3","B"
238,1,142,132,0.080000," ","int(tanh(x)^2/(a+b*sinh(x))^2,x)","-\frac{2 a \left(\frac{-b^{2} \tanh \left(\frac{x}{2}\right)-a b}{a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a}-\frac{\left(a^{2}-2 b^{2}\right) \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}}}\right)}{\left(a^{2}+b^{2}\right)^{2}}+\frac{2 \left(-a^{2}+b^{2}\right) \tanh \left(\frac{x}{2}\right)-4 a b}{\left(a^{4}+2 a^{2} b^{2}+b^{4}\right) \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}"," ",0,"-2*a/(a^2+b^2)^2*((-b^2*tanh(1/2*x)-a*b)/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)-(a^2-2*b^2)/(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^4+2*a^2*b^2+b^4)*((-a^2+b^2)*tanh(1/2*x)-2*a*b)/(tanh(1/2*x)^2+1)","A"
239,1,248,85,0.069000," ","int(tanh(x)/(a+b*sinh(x))^2,x)","\frac{2 \tanh \left(\frac{x}{2}\right) a^{2} b}{\left(a^{2}+b^{2}\right)^{2} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)}+\frac{2 \tanh \left(\frac{x}{2}\right) b^{3}}{\left(a^{2}+b^{2}\right)^{2} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)}-\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right) a^{2}}{\left(a^{2}+b^{2}\right)^{2}}+\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right) b^{2}}{\left(a^{2}+b^{2}\right)^{2}}+\frac{2 \ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right) a^{2}}{2 a^{4}+4 a^{2} b^{2}+2 b^{4}}-\frac{2 \ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right) b^{2}}{2 a^{4}+4 a^{2} b^{2}+2 b^{4}}+\frac{8 a b \arctan \left(\tanh \left(\frac{x}{2}\right)\right)}{2 a^{4}+4 a^{2} b^{2}+2 b^{4}}"," ",0,"2/(a^2+b^2)^2*tanh(1/2*x)/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)*a^2*b+2/(a^2+b^2)^2*tanh(1/2*x)/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)*b^3-1/(a^2+b^2)^2*ln(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)*a^2+1/(a^2+b^2)^2*ln(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)*b^2+2/(2*a^4+4*a^2*b^2+2*b^4)*ln(tanh(1/2*x)^2+1)*a^2-2/(2*a^4+4*a^2*b^2+2*b^4)*ln(tanh(1/2*x)^2+1)*b^2+8/(2*a^4+4*a^2*b^2+2*b^4)*a*b*arctan(tanh(1/2*x))","B"
240,1,33,32,0.054000," ","int(coth(x)/(a+b*sinh(x))^2,x)","\frac{\ln \left(\sinh \left(x \right)\right)}{a^{2}}-\frac{\ln \left(a +b \sinh \left(x \right)\right)}{a^{2}}+\frac{1}{a \left(a +b \sinh \left(x \right)\right)}"," ",0,"ln(sinh(x))/a^2-ln(a+b*sinh(x))/a^2+1/a/(a+b*sinh(x))","A"
241,1,170,74,0.069000," ","int(coth(x)^2/(a+b*sinh(x))^2,x)","-\frac{\tanh \left(\frac{x}{2}\right)}{2 a^{2}}+\frac{2 b^{2} \tanh \left(\frac{x}{2}\right)}{a^{3} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)}+\frac{2 b}{a^{2} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)}+\frac{2 \arctanh \left(\frac{2 a \tanh \left(\frac{x}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{a \sqrt{a^{2}+b^{2}}}+\frac{4 \arctanh \left(\frac{2 a \tanh \left(\frac{x}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right) b^{2}}{a^{3} \sqrt{a^{2}+b^{2}}}-\frac{1}{2 a^{2} \tanh \left(\frac{x}{2}\right)}-\frac{2 b \ln \left(\tanh \left(\frac{x}{2}\right)\right)}{a^{3}}"," ",0,"-1/2/a^2*tanh(1/2*x)+2/a^3/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)*b^2*tanh(1/2*x)+2/a^2/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)*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))+4/a^3/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))*b^2-1/2/a^2/tanh(1/2*x)-2/a^3*b*ln(tanh(1/2*x))","B"
242,1,184,74,0.088000," ","int(coth(x)^3/(a+b*sinh(x))^2,x)","-\frac{\tanh^{2}\left(\frac{x}{2}\right)}{8 a^{2}}-\frac{\tanh \left(\frac{x}{2}\right) b}{a^{3}}+\frac{2 \tanh \left(\frac{x}{2}\right) b}{a^{2} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)}+\frac{2 \tanh \left(\frac{x}{2}\right) b^{3}}{a^{4} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)}-\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)}{a^{2}}-\frac{3 \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right) b^{2}}{a^{4}}-\frac{1}{8 a^{2} \tanh \left(\frac{x}{2}\right)^{2}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right)}{a^{2}}+\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)\right) b^{2}}{a^{4}}+\frac{b}{a^{3} \tanh \left(\frac{x}{2}\right)}"," ",0,"-1/8/a^2*tanh(1/2*x)^2-1/a^3*tanh(1/2*x)*b+2/a^2*tanh(1/2*x)/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)*b+2/a^4*tanh(1/2*x)/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)*b^3-1/a^2*ln(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)-3/a^4*ln(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)*b^2-1/8/a^2/tanh(1/2*x)^2+1/a^2*ln(tanh(1/2*x))+3/a^4*ln(tanh(1/2*x))*b^2+b/a^3/tanh(1/2*x)","B"
243,1,357,147,0.084000," ","int(coth(x)^4/(a+b*sinh(x))^2,x)","-\frac{\tanh^{3}\left(\frac{x}{2}\right)}{24 a^{2}}-\frac{b \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{4 a^{3}}-\frac{5 \tanh \left(\frac{x}{2}\right)}{8 a^{2}}-\frac{3 b^{2} \tanh \left(\frac{x}{2}\right)}{2 a^{4}}+\frac{2 b^{2} \tanh \left(\frac{x}{2}\right)}{a^{3} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)}+\frac{2 \tanh \left(\frac{x}{2}\right) b^{4}}{a^{5} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)}+\frac{2 b}{a^{2} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)}+\frac{2 b^{3}}{a^{4} \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)}+\frac{2 \arctanh \left(\frac{2 a \tanh \left(\frac{x}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{a \sqrt{a^{2}+b^{2}}}+\frac{10 \arctanh \left(\frac{2 a \tanh \left(\frac{x}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right) b^{2}}{a^{3} \sqrt{a^{2}+b^{2}}}+\frac{8 \arctanh \left(\frac{2 a \tanh \left(\frac{x}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right) b^{4}}{a^{5} \sqrt{a^{2}+b^{2}}}-\frac{1}{24 a^{2} \tanh \left(\frac{x}{2}\right)^{3}}-\frac{5}{8 a^{2} \tanh \left(\frac{x}{2}\right)}-\frac{3 b^{2}}{2 a^{4} \tanh \left(\frac{x}{2}\right)}+\frac{b}{4 a^{3} \tanh \left(\frac{x}{2}\right)^{2}}-\frac{3 b \ln \left(\tanh \left(\frac{x}{2}\right)\right)}{a^{3}}-\frac{4 b^{3} \ln \left(\tanh \left(\frac{x}{2}\right)\right)}{a^{5}}"," ",0,"-1/24/a^2*tanh(1/2*x)^3-1/4/a^3*b*tanh(1/2*x)^2-5/8/a^2*tanh(1/2*x)-3/2/a^4*b^2*tanh(1/2*x)+2/a^3/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)*b^2*tanh(1/2*x)+2/a^5/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)*tanh(1/2*x)*b^4+2/a^2/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)*b+2/a^4/(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)*b^3+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))+10/a^3/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))*b^2+8/a^5/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))*b^4-1/24/a^2/tanh(1/2*x)^3-5/8/a^2/tanh(1/2*x)-3/2/a^4/tanh(1/2*x)*b^2+1/4/a^3*b/tanh(1/2*x)^2-3/a^3*b*ln(tanh(1/2*x))-4/a^5*b^3*ln(tanh(1/2*x))","B"
244,1,30,29,0.033000," ","int(coth(x)*(a+b*sinh(x))^(1/2),x)","-2 \arctanh \left(\frac{\sqrt{a +b \sinh \left(x \right)}}{\sqrt{a}}\right) \sqrt{a}+2 \sqrt{a +b \sinh \left(x \right)}"," ",0,"-2*arctanh((a+b*sinh(x))^(1/2)/a^(1/2))*a^(1/2)+2*(a+b*sinh(x))^(1/2)","A"
245,1,19,18,0.035000," ","int(coth(x)/(a+b*sinh(x))^(1/2),x)","-\frac{2 \arctanh \left(\frac{\sqrt{a +b \sinh \left(x \right)}}{\sqrt{a}}\right)}{\sqrt{a}}"," ",0,"-2*arctanh((a+b*sinh(x))^(1/2)/a^(1/2))/a^(1/2)","A"
246,1,88,45,0.045000," ","int((A+B*cosh(x))/(a+b*sinh(x)),x)","\frac{B \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 \arctanh \left(\frac{2 a \tanh \left(\frac{x}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right) A}{\sqrt{a^{2}+b^{2}}}-\frac{B \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{b}-\frac{B \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{b}"," ",0,"1/b*B*ln(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)+2/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))*A-B/b*ln(tanh(1/2*x)-1)-B/b*ln(tanh(1/2*x)+1)","A"
247,1,46,23,0.056000," ","int((A+B*cosh(x))/(I+sinh(x)),x)","-B \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)-B \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)+2 B \ln \left(\tanh \left(\frac{x}{2}\right)+i\right)-\frac{2 i A}{\tanh \left(\frac{x}{2}\right)+i}"," ",0,"-B*ln(tanh(1/2*x)-1)-B*ln(tanh(1/2*x)+1)+2*B*ln(tanh(1/2*x)+I)-2*I/(tanh(1/2*x)+I)*A","A"
248,1,44,25,0.061000," ","int((A+B*cosh(x))/(I-sinh(x)),x)","B \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)+B \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)-\frac{2 i A}{\tanh \left(\frac{x}{2}\right)-i}-2 B \ln \left(\tanh \left(\frac{x}{2}\right)-i\right)"," ",0,"B*ln(tanh(1/2*x)-1)+B*ln(tanh(1/2*x)+1)-2*I/(tanh(1/2*x)-I)*A-2*B*ln(tanh(1/2*x)-I)","A"
249,1,150,83,0.054000," ","int((A+B*tanh(x))/(a+b*sinh(x)),x)","-\frac{a B \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)}{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) a^{2} A}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}}}+\frac{2 \arctanh \left(\frac{2 a \tanh \left(\frac{x}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right) A \,b^{2}}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}}}+\frac{B a \ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}{a^{2}+b^{2}}+\frac{2 B b \arctan \left(\tanh \left(\frac{x}{2}\right)\right)}{a^{2}+b^{2}}"," ",0,"-1/(a^2+b^2)*a*B*ln(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)+2/(a^2+b^2)^(3/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))*a^2*A+2/(a^2+b^2)^(3/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))*A*b^2+B/(a^2+b^2)*a*ln(tanh(1/2*x)^2+1)+2*B/(a^2+b^2)*b*arctan(tanh(1/2*x))","A"
250,1,73,54,0.059000," ","int((A+B*coth(x))/(a+b*sinh(x)),x)","-\frac{B \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)}{a}+\frac{2 \arctanh \left(\frac{2 a \tanh \left(\frac{x}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right) A}{\sqrt{a^{2}+b^{2}}}+\frac{B \ln \left(\tanh \left(\frac{x}{2}\right)\right)}{a}"," ",0,"-1/a*B*ln(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)+2/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))*A+B/a*ln(tanh(1/2*x))","A"
251,1,150,83,0.058000," ","int((A+B*sech(x))/(a+b*sinh(x)),x)","\frac{b B \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-2 \tanh \left(\frac{x}{2}\right) b -a \right)}{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) a^{2} A}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}}}+\frac{2 \arctanh \left(\frac{2 a \tanh \left(\frac{x}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right) A \,b^{2}}{\left(a^{2}+b^{2}\right)^{\frac{3}{2}}}-\frac{B b \ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}{a^{2}+b^{2}}+\frac{2 B a \arctan \left(\tanh \left(\frac{x}{2}\right)\right)}{a^{2}+b^{2}}"," ",0,"1/(a^2+b^2)*b*B*ln(a*tanh(1/2*x)^2-2*tanh(1/2*x)*b-a)+2/(a^2+b^2)^(3/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))*a^2*A+2/(a^2+b^2)^(3/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))*A*b^2-B/(a^2+b^2)*b*ln(tanh(1/2*x)^2+1)+2*B/(a^2+b^2)*a*arctan(tanh(1/2*x))","A"
252,1,86,52,0.053000," ","int((A+B*csch(x))/(a+b*sinh(x)),x)","\frac{2 \arctanh \left(\frac{2 a \tanh \left(\frac{x}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right) A}{\sqrt{a^{2}+b^{2}}}-\frac{2 B b \arctanh \left(\frac{2 a \tanh \left(\frac{x}{2}\right)-2 b}{2 \sqrt{a^{2}+b^{2}}}\right)}{a \sqrt{a^{2}+b^{2}}}+\frac{B \ln \left(\tanh \left(\frac{x}{2}\right)\right)}{a}"," ",0,"2/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))*A-2*B/a*b/(a^2+b^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*x)-2*b)/(a^2+b^2)^(1/2))+B/a*ln(tanh(1/2*x))","A"
253,1,213,76,0.115000," ","int((A+B*cosh(e*x+d)+C*sinh(e*x+d))/(a+c*sinh(e*x+d)),x)","-\frac{\ln \left(\tanh \left(\frac{e x}{2}+\frac{d}{2}\right)-1\right) B}{e c}-\frac{\ln \left(\tanh \left(\frac{e x}{2}+\frac{d}{2}\right)-1\right) C}{e c}-\frac{\ln \left(\tanh \left(\frac{e x}{2}+\frac{d}{2}\right)+1\right) B}{e c}+\frac{\ln \left(\tanh \left(\frac{e x}{2}+\frac{d}{2}\right)+1\right) C}{e c}+\frac{B \ln \left(a \left(\tanh^{2}\left(\frac{e x}{2}+\frac{d}{2}\right)\right)-2 c \tanh \left(\frac{e x}{2}+\frac{d}{2}\right)-a \right)}{e c}+\frac{2 \arctanh \left(\frac{2 a \tanh \left(\frac{e x}{2}+\frac{d}{2}\right)-2 c}{2 \sqrt{a^{2}+c^{2}}}\right) A}{e \sqrt{a^{2}+c^{2}}}-\frac{2 \arctanh \left(\frac{2 a \tanh \left(\frac{e x}{2}+\frac{d}{2}\right)-2 c}{2 \sqrt{a^{2}+c^{2}}}\right) C a}{e c \sqrt{a^{2}+c^{2}}}"," ",0,"-1/e/c*ln(tanh(1/2*e*x+1/2*d)-1)*B-1/e/c*ln(tanh(1/2*e*x+1/2*d)-1)*C-1/e/c*ln(tanh(1/2*e*x+1/2*d)+1)*B+1/e/c*ln(tanh(1/2*e*x+1/2*d)+1)*C+1/e/c*B*ln(a*tanh(1/2*e*x+1/2*d)^2-2*c*tanh(1/2*e*x+1/2*d)-a)+2/e/(a^2+c^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*e*x+1/2*d)-2*c)/(a^2+c^2)^(1/2))*A-2/e/c/(a^2+c^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*e*x+1/2*d)-2*c)/(a^2+c^2)^(1/2))*C*a","B"
254,1,151,108,0.184000," ","int((A+B*cosh(e*x+d)+C*sinh(e*x+d))/(a+c*sinh(e*x+d))^2,x)","\frac{-\frac{2 \left(-\frac{\left(A \,c^{2}-B \,a^{2}-B \,c^{2}-C a c \right) \tanh \left(\frac{e x}{2}+\frac{d}{2}\right)}{a \left(a^{2}+c^{2}\right)}-\frac{A c -C a}{a^{2}+c^{2}}\right)}{a \left(\tanh^{2}\left(\frac{e x}{2}+\frac{d}{2}\right)\right)-2 c \tanh \left(\frac{e x}{2}+\frac{d}{2}\right)-a}+\frac{2 \left(A a +C c \right) \arctanh \left(\frac{2 a \tanh \left(\frac{e x}{2}+\frac{d}{2}\right)-2 c}{2 \sqrt{a^{2}+c^{2}}}\right)}{\left(a^{2}+c^{2}\right)^{\frac{3}{2}}}}{e}"," ",0,"1/e*(-2*(-(A*c^2-B*a^2-B*c^2-C*a*c)/a/(a^2+c^2)*tanh(1/2*e*x+1/2*d)-(A*c-C*a)/(a^2+c^2))/(a*tanh(1/2*e*x+1/2*d)^2-2*c*tanh(1/2*e*x+1/2*d)-a)+2*(A*a+C*c)/(a^2+c^2)^(3/2)*arctanh(1/2*(2*a*tanh(1/2*e*x+1/2*d)-2*c)/(a^2+c^2)^(1/2)))","A"
255,1,416,169,0.208000," ","int((A+B*cosh(e*x+d)+C*sinh(e*x+d))/(a+c*sinh(e*x+d))^3,x)","\frac{-\frac{2 \left(-\frac{\left(5 A \,a^{2} c^{2}+2 A \,c^{4}-2 B \,a^{4}-4 B \,a^{2} c^{2}-2 B \,c^{4}-3 C \,a^{3} c \right) \left(\tanh^{3}\left(\frac{e x}{2}+\frac{d}{2}\right)\right)}{2 a \left(a^{4}+2 a^{2} c^{2}+c^{4}\right)}-\frac{\left(4 A \,a^{4} c -7 A \,a^{2} c^{3}-2 A \,c^{5}+2 B \,a^{4} c +4 B \,a^{2} c^{3}+2 B \,c^{5}-2 C \,a^{5}+5 C \,a^{3} c^{2}-2 C a \,c^{4}\right) \left(\tanh^{2}\left(\frac{e x}{2}+\frac{d}{2}\right)\right)}{2 \left(a^{4}+2 a^{2} c^{2}+c^{4}\right) a^{2}}+\frac{\left(11 A \,a^{2} c^{2}+2 A \,c^{4}-2 B \,a^{4}-4 B \,a^{2} c^{2}-2 B \,c^{4}-5 C \,a^{3} c +4 C a \,c^{3}\right) \tanh \left(\frac{e x}{2}+\frac{d}{2}\right)}{2 \left(a^{4}+2 a^{2} c^{2}+c^{4}\right) a}+\frac{4 A \,a^{2} c +A \,c^{3}-2 C \,a^{3}+C a \,c^{2}}{2 a^{4}+4 a^{2} c^{2}+2 c^{4}}\right)}{\left(a \left(\tanh^{2}\left(\frac{e x}{2}+\frac{d}{2}\right)\right)-2 c \tanh \left(\frac{e x}{2}+\frac{d}{2}\right)-a \right)^{2}}+\frac{\left(2 a^{2} A -A \,c^{2}+3 C a c \right) \arctanh \left(\frac{2 a \tanh \left(\frac{e x}{2}+\frac{d}{2}\right)-2 c}{2 \sqrt{a^{2}+c^{2}}}\right)}{\left(a^{4}+2 a^{2} c^{2}+c^{4}\right) \sqrt{a^{2}+c^{2}}}}{e}"," ",0,"1/e*(-2*(-1/2*(5*A*a^2*c^2+2*A*c^4-2*B*a^4-4*B*a^2*c^2-2*B*c^4-3*C*a^3*c)/a/(a^4+2*a^2*c^2+c^4)*tanh(1/2*e*x+1/2*d)^3-1/2*(4*A*a^4*c-7*A*a^2*c^3-2*A*c^5+2*B*a^4*c+4*B*a^2*c^3+2*B*c^5-2*C*a^5+5*C*a^3*c^2-2*C*a*c^4)/(a^4+2*a^2*c^2+c^4)/a^2*tanh(1/2*e*x+1/2*d)^2+1/2*(11*A*a^2*c^2+2*A*c^4-2*B*a^4-4*B*a^2*c^2-2*B*c^4-5*C*a^3*c+4*C*a*c^3)/(a^4+2*a^2*c^2+c^4)/a*tanh(1/2*e*x+1/2*d)+1/2*(4*A*a^2*c+A*c^3-2*C*a^3+C*a*c^2)/(a^4+2*a^2*c^2+c^4))/(a*tanh(1/2*e*x+1/2*d)^2-2*c*tanh(1/2*e*x+1/2*d)-a)^2+(2*A*a^2-A*c^2+3*C*a*c)/(a^4+2*a^2*c^2+c^4)/(a^2+c^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*e*x+1/2*d)-2*c)/(a^2+c^2)^(1/2)))","B"
256,1,844,237,0.230000," ","int((A+B*cosh(e*x+d)+C*sinh(e*x+d))/(a+c*sinh(e*x+d))^4,x)","\frac{-\frac{2 \left(-\frac{\left(9 A \,a^{4} c^{2}+6 A \,a^{2} c^{4}+2 A \,c^{6}-2 B \,a^{6}-6 B \,a^{4} c^{2}-6 B \,a^{2} c^{4}-2 B \,c^{6}-4 C \,a^{5} c +C \,a^{3} c^{3}\right) \left(\tanh^{5}\left(\frac{e x}{2}+\frac{d}{2}\right)\right)}{2 a \left(a^{6}+3 a^{4} c^{2}+3 a^{2} c^{4}+c^{6}\right)}-\frac{\left(6 A \,a^{6} c -27 A \,a^{4} c^{3}-12 A \,a^{2} c^{5}-4 A \,c^{7}+4 B \,a^{6} c +12 B \,a^{4} c^{3}+12 B \,a^{2} c^{5}+4 B \,c^{7}-2 C \,a^{7}+14 C \,a^{5} c^{2}-11 C \,a^{3} c^{4}-2 C a \,c^{6}\right) \left(\tanh^{4}\left(\frac{e x}{2}+\frac{d}{2}\right)\right)}{2 \left(a^{6}+3 a^{4} c^{2}+3 a^{2} c^{4}+c^{6}\right) a^{2}}+\frac{\left(54 A \,a^{6} c^{2}-21 A \,a^{4} c^{4}-4 A \,a^{2} c^{6}-4 A \,c^{8}-6 B \,a^{8}-14 B \,a^{6} c^{2}-6 B \,a^{4} c^{4}+6 B \,a^{2} c^{6}+4 B \,c^{8}-18 C \,a^{7} c +42 C \,a^{5} c^{3}-17 C \,a^{3} c^{5}-2 C a \,c^{7}\right) \left(\tanh^{3}\left(\frac{e x}{2}+\frac{d}{2}\right)\right)}{3 a^{3} \left(a^{6}+3 a^{4} c^{2}+3 a^{2} c^{4}+c^{6}\right)}+\frac{\left(6 A \,a^{6} c -20 A \,a^{4} c^{3}-3 A \,a^{2} c^{5}-2 A \,c^{7}+2 B \,a^{6} c +6 B \,a^{4} c^{3}+6 B \,a^{2} c^{5}+2 B \,c^{7}-2 C \,a^{7}+10 C \,a^{5} c^{2}-14 C \,a^{3} c^{4}-C a \,c^{6}\right) \left(\tanh^{2}\left(\frac{e x}{2}+\frac{d}{2}\right)\right)}{a^{2} \left(a^{6}+3 a^{4} c^{2}+3 a^{2} c^{4}+c^{6}\right)}-\frac{\left(27 A \,a^{4} c^{2}+4 A \,a^{2} c^{4}+2 A \,c^{6}-2 B \,a^{6}-6 B \,a^{4} c^{2}-6 B \,a^{2} c^{4}-2 B \,c^{6}-8 C \,a^{5} c +19 C \,a^{3} c^{3}+2 C a \,c^{5}\right) \tanh \left(\frac{e x}{2}+\frac{d}{2}\right)}{2 a \left(a^{6}+3 a^{4} c^{2}+3 a^{2} c^{4}+c^{6}\right)}-\frac{18 A \,a^{4} c +5 A \,a^{2} c^{3}+2 A \,c^{5}-6 C \,a^{5}+10 C \,a^{3} c^{2}+C a \,c^{4}}{6 \left(a^{6}+3 a^{4} c^{2}+3 a^{2} c^{4}+c^{6}\right)}\right)}{\left(a \left(\tanh^{2}\left(\frac{e x}{2}+\frac{d}{2}\right)\right)-2 c \tanh \left(\frac{e x}{2}+\frac{d}{2}\right)-a \right)^{3}}+\frac{\left(2 a^{3} A -3 A a \,c^{2}+4 C \,a^{2} c -C \,c^{3}\right) \arctanh \left(\frac{2 a \tanh \left(\frac{e x}{2}+\frac{d}{2}\right)-2 c}{2 \sqrt{a^{2}+c^{2}}}\right)}{\left(a^{6}+3 a^{4} c^{2}+3 a^{2} c^{4}+c^{6}\right) \sqrt{a^{2}+c^{2}}}}{e}"," ",0,"1/e*(-2*(-1/2*(9*A*a^4*c^2+6*A*a^2*c^4+2*A*c^6-2*B*a^6-6*B*a^4*c^2-6*B*a^2*c^4-2*B*c^6-4*C*a^5*c+C*a^3*c^3)/a/(a^6+3*a^4*c^2+3*a^2*c^4+c^6)*tanh(1/2*e*x+1/2*d)^5-1/2*(6*A*a^6*c-27*A*a^4*c^3-12*A*a^2*c^5-4*A*c^7+4*B*a^6*c+12*B*a^4*c^3+12*B*a^2*c^5+4*B*c^7-2*C*a^7+14*C*a^5*c^2-11*C*a^3*c^4-2*C*a*c^6)/(a^6+3*a^4*c^2+3*a^2*c^4+c^6)/a^2*tanh(1/2*e*x+1/2*d)^4+1/3/a^3*(54*A*a^6*c^2-21*A*a^4*c^4-4*A*a^2*c^6-4*A*c^8-6*B*a^8-14*B*a^6*c^2-6*B*a^4*c^4+6*B*a^2*c^6+4*B*c^8-18*C*a^7*c+42*C*a^5*c^3-17*C*a^3*c^5-2*C*a*c^7)/(a^6+3*a^4*c^2+3*a^2*c^4+c^6)*tanh(1/2*e*x+1/2*d)^3+1/a^2*(6*A*a^6*c-20*A*a^4*c^3-3*A*a^2*c^5-2*A*c^7+2*B*a^6*c+6*B*a^4*c^3+6*B*a^2*c^5+2*B*c^7-2*C*a^7+10*C*a^5*c^2-14*C*a^3*c^4-C*a*c^6)/(a^6+3*a^4*c^2+3*a^2*c^4+c^6)*tanh(1/2*e*x+1/2*d)^2-1/2/a*(27*A*a^4*c^2+4*A*a^2*c^4+2*A*c^6-2*B*a^6-6*B*a^4*c^2-6*B*a^2*c^4-2*B*c^6-8*C*a^5*c+19*C*a^3*c^3+2*C*a*c^5)/(a^6+3*a^4*c^2+3*a^2*c^4+c^6)*tanh(1/2*e*x+1/2*d)-1/6*(18*A*a^4*c+5*A*a^2*c^3+2*A*c^5-6*C*a^5+10*C*a^3*c^2+C*a*c^4)/(a^6+3*a^4*c^2+3*a^2*c^4+c^6))/(a*tanh(1/2*e*x+1/2*d)^2-2*c*tanh(1/2*e*x+1/2*d)-a)^3+(2*A*a^3-3*A*a*c^2+4*C*a^2*c-C*c^3)/(a^6+3*a^4*c^2+3*a^2*c^4+c^6)/(a^2+c^2)^(1/2)*arctanh(1/2*(2*a*tanh(1/2*e*x+1/2*d)-2*c)/(a^2+c^2)^(1/2)))","B"
257,1,919,351,0.109000," ","int(x^3/(a+b*sinh(x)^2),x)","\frac{\ln \left(1-\frac{b \,{\mathrm e}^{2 x}}{-2 \sqrt{a \left(a -b \right)}-2 a +b}\right) x^{3}}{-2 \sqrt{a \left(a -b \right)}-2 a +b}+\frac{\ln \left(1-\frac{b \,{\mathrm e}^{2 x}}{-2 \sqrt{a \left(a -b \right)}-2 a +b}\right) a \,x^{3}}{\sqrt{a \left(a -b \right)}\, \left(-2 \sqrt{a \left(a -b \right)}-2 a +b \right)}-\frac{\ln \left(1-\frac{b \,{\mathrm e}^{2 x}}{-2 \sqrt{a \left(a -b \right)}-2 a +b}\right) b \,x^{3}}{2 \sqrt{a \left(a -b \right)}\, \left(-2 \sqrt{a \left(a -b \right)}-2 a +b \right)}-\frac{x^{4}}{2 \left(-2 \sqrt{a \left(a -b \right)}-2 a +b \right)}-\frac{a \,x^{4}}{2 \sqrt{a \left(a -b \right)}\, \left(-2 \sqrt{a \left(a -b \right)}-2 a +b \right)}+\frac{b \,x^{4}}{4 \sqrt{a \left(a -b \right)}\, \left(-2 \sqrt{a \left(a -b \right)}-2 a +b \right)}+\frac{3 \polylog \left(2, \frac{b \,{\mathrm e}^{2 x}}{-2 \sqrt{a \left(a -b \right)}-2 a +b}\right) x^{2}}{2 \left(-2 \sqrt{a \left(a -b \right)}-2 a +b \right)}+\frac{3 \polylog \left(2, \frac{b \,{\mathrm e}^{2 x}}{-2 \sqrt{a \left(a -b \right)}-2 a +b}\right) a \,x^{2}}{2 \sqrt{a \left(a -b \right)}\, \left(-2 \sqrt{a \left(a -b \right)}-2 a +b \right)}-\frac{3 \polylog \left(2, \frac{b \,{\mathrm e}^{2 x}}{-2 \sqrt{a \left(a -b \right)}-2 a +b}\right) b \,x^{2}}{4 \sqrt{a \left(a -b \right)}\, \left(-2 \sqrt{a \left(a -b \right)}-2 a +b \right)}-\frac{3 \polylog \left(3, \frac{b \,{\mathrm e}^{2 x}}{-2 \sqrt{a \left(a -b \right)}-2 a +b}\right) x}{2 \left(-2 \sqrt{a \left(a -b \right)}-2 a +b \right)}-\frac{3 \polylog \left(3, \frac{b \,{\mathrm e}^{2 x}}{-2 \sqrt{a \left(a -b \right)}-2 a +b}\right) a x}{2 \sqrt{a \left(a -b \right)}\, \left(-2 \sqrt{a \left(a -b \right)}-2 a +b \right)}+\frac{3 \polylog \left(3, \frac{b \,{\mathrm e}^{2 x}}{-2 \sqrt{a \left(a -b \right)}-2 a +b}\right) b x}{4 \sqrt{a \left(a -b \right)}\, \left(-2 \sqrt{a \left(a -b \right)}-2 a +b \right)}+\frac{3 \polylog \left(4, \frac{b \,{\mathrm e}^{2 x}}{-2 \sqrt{a \left(a -b \right)}-2 a +b}\right)}{4 \left(-2 \sqrt{a \left(a -b \right)}-2 a +b \right)}+\frac{3 \polylog \left(4, \frac{b \,{\mathrm e}^{2 x}}{-2 \sqrt{a \left(a -b \right)}-2 a +b}\right) a}{4 \sqrt{a \left(a -b \right)}\, \left(-2 \sqrt{a \left(a -b \right)}-2 a +b \right)}-\frac{3 \polylog \left(4, \frac{b \,{\mathrm e}^{2 x}}{-2 \sqrt{a \left(a -b \right)}-2 a +b}\right) b}{8 \sqrt{a \left(a -b \right)}\, \left(-2 \sqrt{a \left(a -b \right)}-2 a +b \right)}+\frac{x^{3} \ln \left(1-\frac{b \,{\mathrm e}^{2 x}}{2 \sqrt{a \left(a -b \right)}-2 a +b}\right)}{2 \sqrt{a \left(a -b \right)}}-\frac{x^{4}}{4 \sqrt{a \left(a -b \right)}}+\frac{3 x^{2} \polylog \left(2, \frac{b \,{\mathrm e}^{2 x}}{2 \sqrt{a \left(a -b \right)}-2 a +b}\right)}{4 \sqrt{a \left(a -b \right)}}-\frac{3 x \polylog \left(3, \frac{b \,{\mathrm e}^{2 x}}{2 \sqrt{a \left(a -b \right)}-2 a +b}\right)}{4 \sqrt{a \left(a -b \right)}}+\frac{3 \polylog \left(4, \frac{b \,{\mathrm e}^{2 x}}{2 \sqrt{a \left(a -b \right)}-2 a +b}\right)}{8 \sqrt{a \left(a -b \right)}}"," ",0,"1/(-2*(a*(a-b))^(1/2)-2*a+b)*ln(1-b*exp(2*x)/(-2*(a*(a-b))^(1/2)-2*a+b))*x^3+1/(a*(a-b))^(1/2)/(-2*(a*(a-b))^(1/2)-2*a+b)*ln(1-b*exp(2*x)/(-2*(a*(a-b))^(1/2)-2*a+b))*a*x^3-1/2/(a*(a-b))^(1/2)/(-2*(a*(a-b))^(1/2)-2*a+b)*ln(1-b*exp(2*x)/(-2*(a*(a-b))^(1/2)-2*a+b))*b*x^3-1/2/(-2*(a*(a-b))^(1/2)-2*a+b)*x^4-1/2/(a*(a-b))^(1/2)/(-2*(a*(a-b))^(1/2)-2*a+b)*a*x^4+1/4/(a*(a-b))^(1/2)/(-2*(a*(a-b))^(1/2)-2*a+b)*b*x^4+3/2/(-2*(a*(a-b))^(1/2)-2*a+b)*polylog(2,b*exp(2*x)/(-2*(a*(a-b))^(1/2)-2*a+b))*x^2+3/2/(a*(a-b))^(1/2)/(-2*(a*(a-b))^(1/2)-2*a+b)*polylog(2,b*exp(2*x)/(-2*(a*(a-b))^(1/2)-2*a+b))*a*x^2-3/4/(a*(a-b))^(1/2)/(-2*(a*(a-b))^(1/2)-2*a+b)*polylog(2,b*exp(2*x)/(-2*(a*(a-b))^(1/2)-2*a+b))*b*x^2-3/2/(-2*(a*(a-b))^(1/2)-2*a+b)*polylog(3,b*exp(2*x)/(-2*(a*(a-b))^(1/2)-2*a+b))*x-3/2/(a*(a-b))^(1/2)/(-2*(a*(a-b))^(1/2)-2*a+b)*polylog(3,b*exp(2*x)/(-2*(a*(a-b))^(1/2)-2*a+b))*a*x+3/4/(a*(a-b))^(1/2)/(-2*(a*(a-b))^(1/2)-2*a+b)*polylog(3,b*exp(2*x)/(-2*(a*(a-b))^(1/2)-2*a+b))*b*x+3/4/(-2*(a*(a-b))^(1/2)-2*a+b)*polylog(4,b*exp(2*x)/(-2*(a*(a-b))^(1/2)-2*a+b))+3/4/(a*(a-b))^(1/2)/(-2*(a*(a-b))^(1/2)-2*a+b)*polylog(4,b*exp(2*x)/(-2*(a*(a-b))^(1/2)-2*a+b))*a-3/8/(a*(a-b))^(1/2)/(-2*(a*(a-b))^(1/2)-2*a+b)*polylog(4,b*exp(2*x)/(-2*(a*(a-b))^(1/2)-2*a+b))*b+1/2/(a*(a-b))^(1/2)*x^3*ln(1-b*exp(2*x)/(2*(a*(a-b))^(1/2)-2*a+b))-1/4/(a*(a-b))^(1/2)*x^4+3/4/(a*(a-b))^(1/2)*x^2*polylog(2,b*exp(2*x)/(2*(a*(a-b))^(1/2)-2*a+b))-3/4/(a*(a-b))^(1/2)*x*polylog(3,b*exp(2*x)/(2*(a*(a-b))^(1/2)-2*a+b))+3/8/(a*(a-b))^(1/2)*polylog(4,b*exp(2*x)/(2*(a*(a-b))^(1/2)-2*a+b))","B"
258,1,710,261,0.090000," ","int(x^2/(a+b*sinh(x)^2),x)","-\frac{2 x^{3}}{3 \left(-2 \sqrt{a \left(a -b \right)}-2 a +b \right)}+\frac{x^{2} \ln \left(1-\frac{b \,{\mathrm e}^{2 x}}{-2 \sqrt{a \left(a -b \right)}-2 a +b}\right)}{-2 \sqrt{a \left(a -b \right)}-2 a +b}+\frac{x \polylog \left(2, \frac{b \,{\mathrm e}^{2 x}}{-2 \sqrt{a \left(a -b \right)}-2 a +b}\right)}{-2 \sqrt{a \left(a -b \right)}-2 a +b}-\frac{\polylog \left(3, \frac{b \,{\mathrm e}^{2 x}}{-2 \sqrt{a \left(a -b \right)}-2 a +b}\right)}{2 \left(-2 \sqrt{a \left(a -b \right)}-2 a +b \right)}-\frac{2 a \,x^{3}}{3 \sqrt{a \left(a -b \right)}\, \left(-2 \sqrt{a \left(a -b \right)}-2 a +b \right)}+\frac{a \,x^{2} \ln \left(1-\frac{b \,{\mathrm e}^{2 x}}{-2 \sqrt{a \left(a -b \right)}-2 a +b}\right)}{\sqrt{a \left(a -b \right)}\, \left(-2 \sqrt{a \left(a -b \right)}-2 a +b \right)}+\frac{a x \polylog \left(2, \frac{b \,{\mathrm e}^{2 x}}{-2 \sqrt{a \left(a -b \right)}-2 a +b}\right)}{\sqrt{a \left(a -b \right)}\, \left(-2 \sqrt{a \left(a -b \right)}-2 a +b \right)}-\frac{a \polylog \left(3, \frac{b \,{\mathrm e}^{2 x}}{-2 \sqrt{a \left(a -b \right)}-2 a +b}\right)}{2 \sqrt{a \left(a -b \right)}\, \left(-2 \sqrt{a \left(a -b \right)}-2 a +b \right)}+\frac{b \,x^{3}}{3 \sqrt{a \left(a -b \right)}\, \left(-2 \sqrt{a \left(a -b \right)}-2 a +b \right)}-\frac{b \,x^{2} \ln \left(1-\frac{b \,{\mathrm e}^{2 x}}{-2 \sqrt{a \left(a -b \right)}-2 a +b}\right)}{2 \sqrt{a \left(a -b \right)}\, \left(-2 \sqrt{a \left(a -b \right)}-2 a +b \right)}-\frac{b x \polylog \left(2, \frac{b \,{\mathrm e}^{2 x}}{-2 \sqrt{a \left(a -b \right)}-2 a +b}\right)}{2 \sqrt{a \left(a -b \right)}\, \left(-2 \sqrt{a \left(a -b \right)}-2 a +b \right)}+\frac{b \polylog \left(3, \frac{b \,{\mathrm e}^{2 x}}{-2 \sqrt{a \left(a -b \right)}-2 a +b}\right)}{4 \sqrt{a \left(a -b \right)}\, \left(-2 \sqrt{a \left(a -b \right)}-2 a +b \right)}-\frac{x^{3}}{3 \sqrt{a \left(a -b \right)}}+\frac{x^{2} \ln \left(1-\frac{b \,{\mathrm e}^{2 x}}{2 \sqrt{a \left(a -b \right)}-2 a +b}\right)}{2 \sqrt{a \left(a -b \right)}}+\frac{x \polylog \left(2, \frac{b \,{\mathrm e}^{2 x}}{2 \sqrt{a \left(a -b \right)}-2 a +b}\right)}{2 \sqrt{a \left(a -b \right)}}-\frac{\polylog \left(3, \frac{b \,{\mathrm e}^{2 x}}{2 \sqrt{a \left(a -b \right)}-2 a +b}\right)}{4 \sqrt{a \left(a -b \right)}}"," ",0,"-2/3/(-2*(a*(a-b))^(1/2)-2*a+b)*x^3+1/(-2*(a*(a-b))^(1/2)-2*a+b)*x^2*ln(1-b*exp(2*x)/(-2*(a*(a-b))^(1/2)-2*a+b))+1/(-2*(a*(a-b))^(1/2)-2*a+b)*x*polylog(2,b*exp(2*x)/(-2*(a*(a-b))^(1/2)-2*a+b))-1/2/(-2*(a*(a-b))^(1/2)-2*a+b)*polylog(3,b*exp(2*x)/(-2*(a*(a-b))^(1/2)-2*a+b))-2/3/(a*(a-b))^(1/2)/(-2*(a*(a-b))^(1/2)-2*a+b)*a*x^3+1/(a*(a-b))^(1/2)/(-2*(a*(a-b))^(1/2)-2*a+b)*a*x^2*ln(1-b*exp(2*x)/(-2*(a*(a-b))^(1/2)-2*a+b))+1/(a*(a-b))^(1/2)/(-2*(a*(a-b))^(1/2)-2*a+b)*a*x*polylog(2,b*exp(2*x)/(-2*(a*(a-b))^(1/2)-2*a+b))-1/2/(a*(a-b))^(1/2)/(-2*(a*(a-b))^(1/2)-2*a+b)*a*polylog(3,b*exp(2*x)/(-2*(a*(a-b))^(1/2)-2*a+b))+1/3/(a*(a-b))^(1/2)/(-2*(a*(a-b))^(1/2)-2*a+b)*b*x^3-1/2/(a*(a-b))^(1/2)/(-2*(a*(a-b))^(1/2)-2*a+b)*b*x^2*ln(1-b*exp(2*x)/(-2*(a*(a-b))^(1/2)-2*a+b))-1/2/(a*(a-b))^(1/2)/(-2*(a*(a-b))^(1/2)-2*a+b)*b*x*polylog(2,b*exp(2*x)/(-2*(a*(a-b))^(1/2)-2*a+b))+1/4/(a*(a-b))^(1/2)/(-2*(a*(a-b))^(1/2)-2*a+b)*b*polylog(3,b*exp(2*x)/(-2*(a*(a-b))^(1/2)-2*a+b))-1/3/(a*(a-b))^(1/2)*x^3+1/2/(a*(a-b))^(1/2)*x^2*ln(1-b*exp(2*x)/(2*(a*(a-b))^(1/2)-2*a+b))+1/2/(a*(a-b))^(1/2)*x*polylog(2,b*exp(2*x)/(2*(a*(a-b))^(1/2)-2*a+b))-1/4/(a*(a-b))^(1/2)*polylog(3,b*exp(2*x)/(2*(a*(a-b))^(1/2)-2*a+b))","B"
259,1,505,171,0.091000," ","int(x/(a+b*sinh(x)^2),x)","\frac{\ln \left(1-\frac{b \,{\mathrm e}^{2 x}}{-2 \sqrt{a \left(a -b \right)}-2 a +b}\right) x}{-2 \sqrt{a \left(a -b \right)}-2 a +b}+\frac{\ln \left(1-\frac{b \,{\mathrm e}^{2 x}}{-2 \sqrt{a \left(a -b \right)}-2 a +b}\right) a x}{\sqrt{a \left(a -b \right)}\, \left(-2 \sqrt{a \left(a -b \right)}-2 a +b \right)}-\frac{\ln \left(1-\frac{b \,{\mathrm e}^{2 x}}{-2 \sqrt{a \left(a -b \right)}-2 a +b}\right) b x}{2 \sqrt{a \left(a -b \right)}\, \left(-2 \sqrt{a \left(a -b \right)}-2 a +b \right)}-\frac{x^{2}}{-2 \sqrt{a \left(a -b \right)}-2 a +b}-\frac{a \,x^{2}}{\sqrt{a \left(a -b \right)}\, \left(-2 \sqrt{a \left(a -b \right)}-2 a +b \right)}+\frac{b \,x^{2}}{2 \sqrt{a \left(a -b \right)}\, \left(-2 \sqrt{a \left(a -b \right)}-2 a +b \right)}+\frac{\polylog \left(2, \frac{b \,{\mathrm e}^{2 x}}{-2 \sqrt{a \left(a -b \right)}-2 a +b}\right)}{-4 \sqrt{a \left(a -b \right)}-4 a +2 b}+\frac{\polylog \left(2, \frac{b \,{\mathrm e}^{2 x}}{-2 \sqrt{a \left(a -b \right)}-2 a +b}\right) a}{2 \sqrt{a \left(a -b \right)}\, \left(-2 \sqrt{a \left(a -b \right)}-2 a +b \right)}-\frac{\polylog \left(2, \frac{b \,{\mathrm e}^{2 x}}{-2 \sqrt{a \left(a -b \right)}-2 a +b}\right) b}{4 \sqrt{a \left(a -b \right)}\, \left(-2 \sqrt{a \left(a -b \right)}-2 a +b \right)}+\frac{x \ln \left(1-\frac{b \,{\mathrm e}^{2 x}}{2 \sqrt{a \left(a -b \right)}-2 a +b}\right)}{2 \sqrt{a \left(a -b \right)}}-\frac{x^{2}}{2 \sqrt{a \left(a -b \right)}}+\frac{\polylog \left(2, \frac{b \,{\mathrm e}^{2 x}}{2 \sqrt{a \left(a -b \right)}-2 a +b}\right)}{4 \sqrt{a \left(a -b \right)}}"," ",0,"1/(-2*(a*(a-b))^(1/2)-2*a+b)*ln(1-b*exp(2*x)/(-2*(a*(a-b))^(1/2)-2*a+b))*x+1/(a*(a-b))^(1/2)/(-2*(a*(a-b))^(1/2)-2*a+b)*ln(1-b*exp(2*x)/(-2*(a*(a-b))^(1/2)-2*a+b))*a*x-1/2/(a*(a-b))^(1/2)/(-2*(a*(a-b))^(1/2)-2*a+b)*ln(1-b*exp(2*x)/(-2*(a*(a-b))^(1/2)-2*a+b))*b*x-1/(-2*(a*(a-b))^(1/2)-2*a+b)*x^2-1/(a*(a-b))^(1/2)/(-2*(a*(a-b))^(1/2)-2*a+b)*a*x^2+1/2/(a*(a-b))^(1/2)/(-2*(a*(a-b))^(1/2)-2*a+b)*b*x^2+1/2/(-2*(a*(a-b))^(1/2)-2*a+b)*polylog(2,b*exp(2*x)/(-2*(a*(a-b))^(1/2)-2*a+b))+1/2/(a*(a-b))^(1/2)/(-2*(a*(a-b))^(1/2)-2*a+b)*polylog(2,b*exp(2*x)/(-2*(a*(a-b))^(1/2)-2*a+b))*a-1/4/(a*(a-b))^(1/2)/(-2*(a*(a-b))^(1/2)-2*a+b)*polylog(2,b*exp(2*x)/(-2*(a*(a-b))^(1/2)-2*a+b))*b+1/2/(a*(a-b))^(1/2)*x*ln(1-b*exp(2*x)/(2*(a*(a-b))^(1/2)-2*a+b))-1/2/(a*(a-b))^(1/2)*x^2+1/4/(a*(a-b))^(1/2)*polylog(2,b*exp(2*x)/(2*(a*(a-b))^(1/2)-2*a+b))","B"
260,1,47,39,0.214000," ","int(cosh(b*x+a)*(-2+sinh(b*x+a)^2)/x,x)","-\frac{{\mathrm e}^{-3 a} \Ei \left(1, 3 b x \right)}{8}+\frac{9 \,{\mathrm e}^{-a} \Ei \left(1, b x \right)}{8}+\frac{9 \,{\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)+9/8*exp(-a)*Ei(1,b*x)+9/8*exp(a)*Ei(1,-b*x)-1/8*exp(3*a)*Ei(1,-3*b*x)","A"
261,0,0,46,0.228000," ","int(sinh((-a*x+1)^(1/2)/(a*x+1)^(1/2))^3/(-a^2*x^2+1),x)","\int \frac{\sinh^{3}\left(\frac{\sqrt{-a x +1}}{\sqrt{a x +1}}\right)}{-a^{2} x^{2}+1}\, dx"," ",0,"int(sinh((-a*x+1)^(1/2)/(a*x+1)^(1/2))^3/(-a^2*x^2+1),x)","F"
262,0,0,46,0.157000," ","int(sinh((-a*x+1)^(1/2)/(a*x+1)^(1/2))^2/(-a^2*x^2+1),x)","\int \frac{\sinh^{2}\left(\frac{\sqrt{-a x +1}}{\sqrt{a x +1}}\right)}{-a^{2} x^{2}+1}\, dx"," ",0,"int(sinh((-a*x+1)^(1/2)/(a*x+1)^(1/2))^2/(-a^2*x^2+1),x)","F"
263,0,0,22,0.105000," ","int(sinh((-a*x+1)^(1/2)/(a*x+1)^(1/2))/(-a^2*x^2+1),x)","\int \frac{\sinh \left(\frac{\sqrt{-a x +1}}{\sqrt{a x +1}}\right)}{-a^{2} x^{2}+1}\, dx"," ",0,"int(sinh((-a*x+1)^(1/2)/(a*x+1)^(1/2))/(-a^2*x^2+1),x)","F"
264,0,0,35,0.105000," ","int(1/(-a^2*x^2+1)/sinh((-a*x+1)^(1/2)/(a*x+1)^(1/2)),x)","\int \frac{1}{\left(-a^{2} x^{2}+1\right) \sinh \left(\frac{\sqrt{-a x +1}}{\sqrt{a x +1}}\right)}\, dx"," ",0,"int(1/(-a^2*x^2+1)/sinh((-a*x+1)^(1/2)/(a*x+1)^(1/2)),x)","F"
265,0,0,37,0.102000," ","int(1/(-a^2*x^2+1)/sinh((-a*x+1)^(1/2)/(a*x+1)^(1/2))^2,x)","\int \frac{1}{\left(-a^{2} x^{2}+1\right) \sinh \left(\frac{\sqrt{-a x +1}}{\sqrt{a x +1}}\right)^{2}}\, dx"," ",0,"int(1/(-a^2*x^2+1)/sinh((-a*x+1)^(1/2)/(a*x+1)^(1/2))^2,x)","F"
266,0,0,54,0.035000," ","int(sinh(a+b*ln(c*x^n)),x)","\int \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(sinh(a+b*ln(c*x^n)),x)","F"
267,0,0,88,0.200000," ","int(sinh(a+b*ln(c*x^n))^2,x)","\int \sinh^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(sinh(a+b*ln(c*x^n))^2,x)","F"
268,0,0,149,0.192000," ","int(sinh(a+b*ln(c*x^n))^3,x)","\int \sinh^{3}\left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(sinh(a+b*ln(c*x^n))^3,x)","F"
269,0,0,191,0.249000," ","int(sinh(a+b*ln(c*x^n))^4,x)","\int \sinh^{4}\left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(sinh(a+b*ln(c*x^n))^4,x)","F"
270,0,0,73,0.041000," ","int(x^m*sinh(a+b*ln(c*x^n)),x)","\int x^{m} \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(x^m*sinh(a+b*ln(c*x^n)),x)","F"
271,0,0,120,0.187000," ","int(x^m*sinh(a+b*ln(c*x^n))^2,x)","\int x^{m} \left(\sinh^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x^m*sinh(a+b*ln(c*x^n))^2,x)","F"
272,0,0,203,0.191000," ","int(x^m*sinh(a+b*ln(c*x^n))^3,x)","\int x^{m} \left(\sinh^{3}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x^m*sinh(a+b*ln(c*x^n))^3,x)","F"
273,0,0,266,0.272000," ","int(x^m*sinh(a+b*ln(c*x^n))^4,x)","\int x^{m} \left(\sinh^{4}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x^m*sinh(a+b*ln(c*x^n))^4,x)","F"
274,1,19,18,0.009000," ","int(sinh(a+b*ln(c*x^n))/x,x)","\frac{\cosh \left(a +b \ln \left(c \,x^{n}\right)\right)}{b n}"," ",0,"cosh(a+b*ln(c*x^n))/b/n","A"
275,1,52,35,0.020000," ","int(sinh(a+b*ln(c*x^n))^2/x,x)","\frac{\cosh \left(a +b \ln \left(c \,x^{n}\right)\right) \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}{2 b n}-\frac{\ln \left(c \,x^{n}\right)}{2 n}-\frac{a}{2 b n}"," ",0,"1/2*cosh(a+b*ln(c*x^n))*sinh(a+b*ln(c*x^n))/b/n-1/2*ln(c*x^n)/n-1/2/b/n*a","A"
276,1,36,41,0.022000," ","int(sinh(a+b*ln(c*x^n))^3/x,x)","\frac{\left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{3}\right) \cosh \left(a +b \ln \left(c \,x^{n}\right)\right)}{n b}"," ",0,"1/n/b*(-2/3+1/3*sinh(a+b*ln(c*x^n))^2)*cosh(a+b*ln(c*x^n))","A"
277,1,84,67,0.025000," ","int(sinh(a+b*ln(c*x^n))^4/x,x)","\frac{\cosh \left(a +b \ln \left(c \,x^{n}\right)\right) \left(\sinh^{3}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{4 b n}-\frac{3 \cosh \left(a +b \ln \left(c \,x^{n}\right)\right) \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}{8 b n}+\frac{3 \ln \left(c \,x^{n}\right)}{8 n}+\frac{3 a}{8 b n}"," ",0,"1/4*cosh(a+b*ln(c*x^n))*sinh(a+b*ln(c*x^n))^3/b/n-3/8*cosh(a+b*ln(c*x^n))*sinh(a+b*ln(c*x^n))/b/n+3/8*ln(c*x^n)/n+3/8/b/n*a","A"
278,1,51,61,0.031000," ","int(sinh(a+b*ln(c*x^n))^5/x,x)","\frac{\left(\frac{8}{15}+\frac{\left(\sinh^{4}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{5}-\frac{4 \left(\sinh^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{15}\right) \cosh \left(a +b \ln \left(c \,x^{n}\right)\right)}{n b}"," ",0,"1/n/b*(8/15+1/5*sinh(a+b*ln(c*x^n))^4-4/15*sinh(a+b*ln(c*x^n))^2)*cosh(a+b*ln(c*x^n))","A"
279,1,227,138,0.089000," ","int(sinh(a+b*ln(c*x^n))^(5/2)/x,x)","\frac{-\frac{6 \sqrt{1-i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}\, \sqrt{2}\, \sqrt{i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)+1}\, \sqrt{i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}\, \EllipticE \left(\sqrt{1-i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}, \frac{\sqrt{2}}{2}\right)}{5}+\frac{3 \sqrt{1-i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}\, \sqrt{2}\, \sqrt{i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)+1}\, \sqrt{i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}\, \EllipticF \left(\sqrt{1-i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}, \frac{\sqrt{2}}{2}\right)}{5}+\frac{2 \left(\cosh^{4}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{5}-\frac{2 \left(\cosh^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{5}}{n \cosh \left(a +b \ln \left(c \,x^{n}\right)\right) \sqrt{\sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}\, b}"," ",0,"1/n*(-6/5*(1-I*sinh(a+b*ln(c*x^n)))^(1/2)*2^(1/2)*(I*sinh(a+b*ln(c*x^n))+1)^(1/2)*(I*sinh(a+b*ln(c*x^n)))^(1/2)*EllipticE((1-I*sinh(a+b*ln(c*x^n)))^(1/2),1/2*2^(1/2))+3/5*(1-I*sinh(a+b*ln(c*x^n)))^(1/2)*2^(1/2)*(I*sinh(a+b*ln(c*x^n))+1)^(1/2)*(I*sinh(a+b*ln(c*x^n)))^(1/2)*EllipticF((1-I*sinh(a+b*ln(c*x^n)))^(1/2),1/2*2^(1/2))+2/5*cosh(a+b*ln(c*x^n))^4-2/5*cosh(a+b*ln(c*x^n))^2)/cosh(a+b*ln(c*x^n))/sinh(a+b*ln(c*x^n))^(1/2)/b","A"
280,1,143,138,0.020000," ","int(sinh(a+b*ln(c*x^n))^(3/2)/x,x)","\frac{-\frac{i \sqrt{1-i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}\, \sqrt{2}\, \sqrt{i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)+1}\, \sqrt{i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}\, \EllipticF \left(\sqrt{1-i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}, \frac{\sqrt{2}}{2}\right)}{3}+\frac{2 \left(\cosh^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)\right) \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}{3}}{n \cosh \left(a +b \ln \left(c \,x^{n}\right)\right) \sqrt{\sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}\, b}"," ",0,"1/n*(-1/3*I*(1-I*sinh(a+b*ln(c*x^n)))^(1/2)*2^(1/2)*(I*sinh(a+b*ln(c*x^n))+1)^(1/2)*(I*sinh(a+b*ln(c*x^n)))^(1/2)*EllipticF((1-I*sinh(a+b*ln(c*x^n)))^(1/2),1/2*2^(1/2))+2/3*cosh(a+b*ln(c*x^n))^2*sinh(a+b*ln(c*x^n)))/cosh(a+b*ln(c*x^n))/sinh(a+b*ln(c*x^n))^(1/2)/b","A"
281,1,146,105,0.076000," ","int(sinh(a+b*ln(c*x^n))^(1/2)/x,x)","\frac{\sqrt{-i \left(\sinh \left(a +b \ln \left(c \,x^{n}\right)\right)+i\right)}\, \sqrt{2}\, \sqrt{-i \left(-\sinh \left(a +b \ln \left(c \,x^{n}\right)\right)+i\right)}\, \sqrt{i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}\, \left(2 \EllipticE \left(\sqrt{1-i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}, \frac{\sqrt{2}}{2}\right)-\EllipticF \left(\sqrt{1-i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}, \frac{\sqrt{2}}{2}\right)\right)}{n \cosh \left(a +b \ln \left(c \,x^{n}\right)\right) \sqrt{\sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}\, b}"," ",0,"1/n*(-I*(sinh(a+b*ln(c*x^n))+I))^(1/2)*2^(1/2)*(-I*(-sinh(a+b*ln(c*x^n))+I))^(1/2)*(I*sinh(a+b*ln(c*x^n)))^(1/2)*(2*EllipticE((1-I*sinh(a+b*ln(c*x^n)))^(1/2),1/2*2^(1/2))-EllipticF((1-I*sinh(a+b*ln(c*x^n)))^(1/2),1/2*2^(1/2)))/cosh(a+b*ln(c*x^n))/sinh(a+b*ln(c*x^n))^(1/2)/b","A"
282,1,120,105,0.061000," ","int(1/x/sinh(a+b*ln(c*x^n))^(1/2),x)","\frac{i \sqrt{-i \left(\sinh \left(a +b \ln \left(c \,x^{n}\right)\right)+i\right)}\, \sqrt{2}\, \sqrt{-i \left(-\sinh \left(a +b \ln \left(c \,x^{n}\right)\right)+i\right)}\, \sqrt{i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}\, \EllipticF \left(\sqrt{-i \left(\sinh \left(a +b \ln \left(c \,x^{n}\right)\right)+i\right)}, \frac{\sqrt{2}}{2}\right)}{n \cosh \left(a +b \ln \left(c \,x^{n}\right)\right) \sqrt{\sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}\, b}"," ",0,"I/n*(-I*(sinh(a+b*ln(c*x^n))+I))^(1/2)*2^(1/2)*(-I*(-sinh(a+b*ln(c*x^n))+I))^(1/2)*(I*sinh(a+b*ln(c*x^n)))^(1/2)*EllipticF((-I*(sinh(a+b*ln(c*x^n))+I))^(1/2),1/2*2^(1/2))/cosh(a+b*ln(c*x^n))/sinh(a+b*ln(c*x^n))^(1/2)/b","A"
283,1,212,138,0.083000," ","int(1/x/sinh(a+b*ln(c*x^n))^(3/2),x)","\frac{2 \sqrt{1-i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}\, \sqrt{2}\, \sqrt{i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)+1}\, \sqrt{i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}\, \EllipticE \left(\sqrt{1-i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}, \frac{\sqrt{2}}{2}\right)-\sqrt{1-i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}\, \sqrt{2}\, \sqrt{i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)+1}\, \sqrt{i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}\, \EllipticF \left(\sqrt{1-i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}, \frac{\sqrt{2}}{2}\right)-2 \left(\cosh^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{n \cosh \left(a +b \ln \left(c \,x^{n}\right)\right) \sqrt{\sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}\, b}"," ",0,"1/n*(2*(1-I*sinh(a+b*ln(c*x^n)))^(1/2)*2^(1/2)*(I*sinh(a+b*ln(c*x^n))+1)^(1/2)*(I*sinh(a+b*ln(c*x^n)))^(1/2)*EllipticE((1-I*sinh(a+b*ln(c*x^n)))^(1/2),1/2*2^(1/2))-(1-I*sinh(a+b*ln(c*x^n)))^(1/2)*2^(1/2)*(I*sinh(a+b*ln(c*x^n))+1)^(1/2)*(I*sinh(a+b*ln(c*x^n)))^(1/2)*EllipticF((1-I*sinh(a+b*ln(c*x^n)))^(1/2),1/2*2^(1/2))-2*cosh(a+b*ln(c*x^n))^2)/cosh(a+b*ln(c*x^n))/sinh(a+b*ln(c*x^n))^(1/2)/b","A"
284,1,144,138,0.085000," ","int(1/x/sinh(a+b*ln(c*x^n))^(5/2),x)","-\frac{i \sqrt{1-i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}\, \sqrt{2}\, \sqrt{i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)+1}\, \sqrt{i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}\, \EllipticF \left(\sqrt{1-i \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}, \frac{\sqrt{2}}{2}\right) \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)+2 \left(\cosh^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{3 n \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)^{\frac{3}{2}} \cosh \left(a +b \ln \left(c \,x^{n}\right)\right) b}"," ",0,"-1/3/n/sinh(a+b*ln(c*x^n))^(3/2)*(I*(1-I*sinh(a+b*ln(c*x^n)))^(1/2)*2^(1/2)*(I*sinh(a+b*ln(c*x^n))+1)^(1/2)*(I*sinh(a+b*ln(c*x^n)))^(1/2)*EllipticF((1-I*sinh(a+b*ln(c*x^n)))^(1/2),1/2*2^(1/2))*sinh(a+b*ln(c*x^n))+2*cosh(a+b*ln(c*x^n))^2)/cosh(a+b*ln(c*x^n))/b","A"
285,0,0,205,0.397000," ","int(sinh(a+2*ln(c*x^n)/n)^(5/2),x)","\int \sinh^{\frac{5}{2}}\left(a +\frac{2 \ln \left(c \,x^{n}\right)}{n}\right)\, dx"," ",0,"int(sinh(a+2*ln(c*x^n)/n)^(5/2),x)","F"
286,0,0,96,0.273000," ","int(sinh(a+2*ln(c*x^n)/n)^(1/2),x)","\int \sqrt{\sinh}\left(a +\frac{2 \ln \left(c \,x^{n}\right)}{n}\right)\, dx"," ",0,"int(sinh(a+2*ln(c*x^n)/n)^(1/2),x)","F"
287,0,0,42,0.225000," ","int(1/sinh(a+2*ln(c*x^n)/n)^(3/2),x)","\int \frac{1}{\sinh \left(a +\frac{2 \ln \left(c \,x^{n}\right)}{n}\right)^{\frac{3}{2}}}\, dx"," ",0,"int(1/sinh(a+2*ln(c*x^n)/n)^(3/2),x)","F"
288,0,0,104,0.227000," ","int(1/sinh(a+2*ln(c*x^n)/n)^(7/2),x)","\int \frac{1}{\sinh \left(a +\frac{2 \ln \left(c \,x^{n}\right)}{n}\right)^{\frac{7}{2}}}\, dx"," ",0,"int(1/sinh(a+2*ln(c*x^n)/n)^(7/2),x)","F"
289,1,38,36,0.020000," ","int(sinh(a/(d*x+c)),x)","-\frac{a \left(-\frac{\left(d x +c \right) \sinh \left(\frac{a}{d x +c}\right)}{a}+\Chi \left(\frac{a}{d x +c}\right)\right)}{d}"," ",0,"-1/d*a*(-1/a*(d*x+c)*sinh(a/(d*x+c))+Chi(a/(d*x+c)))","A"
290,1,50,39,0.037000," ","int(sinh(a/(d*x+c))^2,x)","-\frac{a \left(\frac{d x +c}{2 a}-\frac{\left(d x +c \right) \cosh \left(\frac{2 a}{d x +c}\right)}{2 a}+\Shi \left(\frac{2 a}{d x +c}\right)\right)}{d}"," ",0,"-1/d*a*(1/2/a*(d*x+c)-1/2/a*(d*x+c)*cosh(2*a/(d*x+c))+Shi(2*a/(d*x+c)))","A"
291,1,74,55,0.033000," ","int(sinh(a/(d*x+c))^3,x)","-\frac{a \left(\frac{3 \left(d x +c \right) \sinh \left(\frac{a}{d x +c}\right)}{4 a}-\frac{3 \Chi \left(\frac{a}{d x +c}\right)}{4}-\frac{\left(d x +c \right) \sinh \left(\frac{3 a}{d x +c}\right)}{4 a}+\frac{3 \Chi \left(\frac{3 a}{d x +c}\right)}{4}\right)}{d}"," ",0,"-1/d*a*(3/4/a*(d*x+c)*sinh(a/(d*x+c))-3/4*Chi(a/(d*x+c))-1/4/a*(d*x+c)*sinh(3*a/(d*x+c))+3/4*Chi(3*a/(d*x+c)))","A"
292,1,113,74,0.054000," ","int(sinh(b*x/(d*x+c)),x)","-\frac{{\mathrm e}^{-\frac{b x}{d x +c}} \left(d x +c \right)}{2 d}-\frac{c b \,{\mathrm e}^{-\frac{b}{d}} \Ei \left(1, -\frac{b c}{d \left(d x +c \right)}\right)}{2 d^{2}}+\frac{{\mathrm e}^{\frac{b x}{d x +c}} x}{2}+\frac{c \,{\mathrm e}^{\frac{b x}{d x +c}}}{2 d}-\frac{c b \,{\mathrm e}^{\frac{b}{d}} \Ei \left(1, \frac{b c}{d \left(d x +c \right)}\right)}{2 d^{2}}"," ",0,"-1/2/d*exp(-b*x/(d*x+c))*(d*x+c)-1/2*c*b/d^2*exp(-b/d)*Ei(1,-b*c/d/(d*x+c))+1/2*exp(b*x/(d*x+c))*x+1/2*c/d*exp(b*x/(d*x+c))-1/2*c*b/d^2*exp(b/d)*Ei(1,b*c/d/(d*x+c))","A"
293,1,120,80,0.184000," ","int(sinh(b*x/(d*x+c))^2,x)","-\frac{x}{2}+\frac{{\mathrm e}^{-\frac{2 b x}{d x +c}} \left(d x +c \right)}{4 d}+\frac{c b \,{\mathrm e}^{-\frac{2 b}{d}} \Ei \left(1, -\frac{2 b c}{d \left(d x +c \right)}\right)}{2 d^{2}}+\frac{{\mathrm e}^{\frac{2 b x}{d x +c}} x}{4}+\frac{c \,{\mathrm e}^{\frac{2 b x}{d x +c}}}{4 d}-\frac{c b \,{\mathrm e}^{\frac{2 b}{d}} \Ei \left(1, \frac{2 b c}{d \left(d x +c \right)}\right)}{2 d^{2}}"," ",0,"-1/2*x+1/4/d*exp(-2*b*x/(d*x+c))*(d*x+c)+1/2*c*b/d^2*exp(-2*b/d)*Ei(1,-2*b*c/d/(d*x+c))+1/4*exp(2*b*x/(d*x+c))*x+1/4*c/d*exp(2*b*x/(d*x+c))-1/2*c*b/d^2*exp(2*b/d)*Ei(1,2*b*c/d/(d*x+c))","A"
294,1,228,135,0.186000," ","int(sinh(b*x/(d*x+c))^3,x)","-\frac{{\mathrm e}^{-\frac{3 b x}{d x +c}} \left(d x +c \right)}{8 d}-\frac{3 c b \,{\mathrm e}^{-\frac{3 b}{d}} \Ei \left(1, -\frac{3 b c}{d \left(d x +c \right)}\right)}{8 d^{2}}+\frac{3 \,{\mathrm e}^{-\frac{b x}{d x +c}} \left(d x +c \right)}{8 d}+\frac{3 c b \,{\mathrm e}^{-\frac{b}{d}} \Ei \left(1, -\frac{b c}{d \left(d x +c \right)}\right)}{8 d^{2}}+\frac{{\mathrm e}^{\frac{3 b x}{d x +c}} x}{8}+\frac{c \,{\mathrm e}^{\frac{3 b x}{d x +c}}}{8 d}-\frac{3 c b \,{\mathrm e}^{\frac{3 b}{d}} \Ei \left(1, \frac{3 b c}{d \left(d x +c \right)}\right)}{8 d^{2}}-\frac{3 \,{\mathrm e}^{\frac{b x}{d x +c}} x}{8}-\frac{3 c \,{\mathrm e}^{\frac{b x}{d x +c}}}{8 d}+\frac{3 c b \,{\mathrm e}^{\frac{b}{d}} \Ei \left(1, \frac{b c}{d \left(d x +c \right)}\right)}{8 d^{2}}"," ",0,"-1/8/d*exp(-3*b*x/(d*x+c))*(d*x+c)-3/8*c*b/d^2*exp(-3*b/d)*Ei(1,-3*b*c/d/(d*x+c))+3/8/d*exp(-b*x/(d*x+c))*(d*x+c)+3/8*c*b/d^2*exp(-b/d)*Ei(1,-b*c/d/(d*x+c))+1/8*exp(3*b*x/(d*x+c))*x+1/8*c/d*exp(3*b*x/(d*x+c))-3/8*c*b/d^2*exp(3*b/d)*Ei(1,3*b*c/d/(d*x+c))-3/8*exp(b*x/(d*x+c))*x-3/8*c/d*exp(b*x/(d*x+c))+3/8*c*b/d^2*exp(b/d)*Ei(1,b*c/d/(d*x+c))","A"
295,1,347,101,0.051000," ","int(sinh((b*x+a)/(d*x+c)),x)","-\frac{{\mathrm e}^{-\frac{b x +a}{d x +c}} a}{2 \left(\frac{d a}{d x +c}-\frac{b c}{d x +c}\right)}+\frac{{\mathrm e}^{-\frac{b x +a}{d x +c}} c b}{2 d \left(\frac{d a}{d x +c}-\frac{b c}{d x +c}\right)}+\frac{{\mathrm e}^{-\frac{b}{d}} \Ei \left(1, \frac{d a -c b}{d \left(d x +c \right)}\right) a}{2 d}-\frac{{\mathrm e}^{-\frac{b}{d}} \Ei \left(1, \frac{d a -c b}{d \left(d x +c \right)}\right) c b}{2 d^{2}}+\frac{d \,{\mathrm e}^{\frac{b x +a}{d x +c}} x a}{2 d a -2 c b}-\frac{{\mathrm e}^{\frac{b x +a}{d x +c}} x c b}{2 \left(d a -c b \right)}+\frac{{\mathrm e}^{\frac{b x +a}{d x +c}} c a}{2 d a -2 c b}-\frac{{\mathrm e}^{\frac{b x +a}{d x +c}} c^{2} b}{2 d \left(d a -c b \right)}+\frac{{\mathrm e}^{\frac{b}{d}} \Ei \left(1, -\frac{d a -c b}{d \left(d x +c \right)}\right) a}{2 d}-\frac{{\mathrm e}^{\frac{b}{d}} \Ei \left(1, -\frac{d a -c b}{d \left(d x +c \right)}\right) c b}{2 d^{2}}"," ",0,"-1/2*exp(-(b*x+a)/(d*x+c))/(d*a/(d*x+c)-b*c/(d*x+c))*a+1/2/d*exp(-(b*x+a)/(d*x+c))/(d*a/(d*x+c)-b*c/(d*x+c))*c*b+1/2/d*exp(-b/d)*Ei(1,(a*d-b*c)/d/(d*x+c))*a-1/2/d^2*exp(-b/d)*Ei(1,(a*d-b*c)/d/(d*x+c))*c*b+1/2*d*exp((b*x+a)/(d*x+c))/(a*d-b*c)*x*a-1/2*exp((b*x+a)/(d*x+c))/(a*d-b*c)*x*c*b+1/2*exp((b*x+a)/(d*x+c))/(a*d-b*c)*c*a-1/2/d*exp((b*x+a)/(d*x+c))/(a*d-b*c)*c^2*b+1/2/d*exp(b/d)*Ei(1,-(a*d-b*c)/d/(d*x+c))*a-1/2/d^2*exp(b/d)*Ei(1,-(a*d-b*c)/d/(d*x+c))*c*b","B"
296,1,358,107,0.210000," ","int(sinh((b*x+a)/(d*x+c))^2,x)","-\frac{x}{2}+\frac{{\mathrm e}^{-\frac{2 \left(b x +a \right)}{d x +c}} a}{\frac{4 d a}{d x +c}-\frac{4 b c}{d x +c}}-\frac{{\mathrm e}^{-\frac{2 \left(b x +a \right)}{d x +c}} c b}{4 d \left(\frac{d a}{d x +c}-\frac{b c}{d x +c}\right)}-\frac{{\mathrm e}^{-\frac{2 b}{d}} \Ei \left(1, \frac{2 d a -2 c b}{d \left(d x +c \right)}\right) a}{2 d}+\frac{{\mathrm e}^{-\frac{2 b}{d}} \Ei \left(1, \frac{2 d a -2 c b}{d \left(d x +c \right)}\right) c b}{2 d^{2}}+\frac{d \,{\mathrm e}^{\frac{2 b x +2 a}{d x +c}} x a}{4 d a -4 c b}-\frac{{\mathrm e}^{\frac{2 b x +2 a}{d x +c}} x c b}{4 \left(d a -c b \right)}+\frac{{\mathrm e}^{\frac{2 b x +2 a}{d x +c}} c a}{4 d a -4 c b}-\frac{{\mathrm e}^{\frac{2 b x +2 a}{d x +c}} c^{2} b}{4 d \left(d a -c b \right)}+\frac{{\mathrm e}^{\frac{2 b}{d}} \Ei \left(1, -\frac{2 \left(d a -c b \right)}{d \left(d x +c \right)}\right) a}{2 d}-\frac{{\mathrm e}^{\frac{2 b}{d}} \Ei \left(1, -\frac{2 \left(d a -c b \right)}{d \left(d x +c \right)}\right) c b}{2 d^{2}}"," ",0,"-1/2*x+1/4*exp(-2*(b*x+a)/(d*x+c))/(d*a/(d*x+c)-b*c/(d*x+c))*a-1/4/d*exp(-2*(b*x+a)/(d*x+c))/(d*a/(d*x+c)-b*c/(d*x+c))*c*b-1/2/d*exp(-2*b/d)*Ei(1,2*(a*d-b*c)/d/(d*x+c))*a+1/2/d^2*exp(-2*b/d)*Ei(1,2*(a*d-b*c)/d/(d*x+c))*c*b+1/4*d*exp(2*(b*x+a)/(d*x+c))/(a*d-b*c)*x*a-1/4*exp(2*(b*x+a)/(d*x+c))/(a*d-b*c)*x*c*b+1/4*exp(2*(b*x+a)/(d*x+c))/(a*d-b*c)*c*a-1/4/d*exp(2*(b*x+a)/(d*x+c))/(a*d-b*c)*c^2*b+1/2/d*exp(2*b/d)*Ei(1,-2*(a*d-b*c)/d/(d*x+c))*a-1/2/d^2*exp(2*b/d)*Ei(1,-2*(a*d-b*c)/d/(d*x+c))*c*b","B"
297,1,700,186,0.183000," ","int(sinh((b*x+a)/(d*x+c))^3,x)","-\frac{{\mathrm e}^{-\frac{3 \left(b x +a \right)}{d x +c}} a}{8 \left(\frac{d a}{d x +c}-\frac{b c}{d x +c}\right)}+\frac{{\mathrm e}^{-\frac{3 \left(b x +a \right)}{d x +c}} c b}{8 d \left(\frac{d a}{d x +c}-\frac{b c}{d x +c}\right)}+\frac{3 \,{\mathrm e}^{-\frac{3 b}{d}} \Ei \left(1, \frac{3 d a -3 c b}{d \left(d x +c \right)}\right) a}{8 d}-\frac{3 \,{\mathrm e}^{-\frac{3 b}{d}} \Ei \left(1, \frac{3 d a -3 c b}{d \left(d x +c \right)}\right) c b}{8 d^{2}}+\frac{3 \,{\mathrm e}^{-\frac{b x +a}{d x +c}} a}{8 \left(\frac{d a}{d x +c}-\frac{b c}{d x +c}\right)}-\frac{3 \,{\mathrm e}^{-\frac{b x +a}{d x +c}} c b}{8 d \left(\frac{d a}{d x +c}-\frac{b c}{d x +c}\right)}-\frac{3 \,{\mathrm e}^{-\frac{b}{d}} \Ei \left(1, \frac{d a -c b}{d \left(d x +c \right)}\right) a}{8 d}+\frac{3 \,{\mathrm e}^{-\frac{b}{d}} \Ei \left(1, \frac{d a -c b}{d \left(d x +c \right)}\right) c b}{8 d^{2}}+\frac{d \,{\mathrm e}^{\frac{3 b x +3 a}{d x +c}} x a}{8 d a -8 c b}-\frac{{\mathrm e}^{\frac{3 b x +3 a}{d x +c}} x c b}{8 \left(d a -c b \right)}+\frac{{\mathrm e}^{\frac{3 b x +3 a}{d x +c}} c a}{8 d a -8 c b}-\frac{{\mathrm e}^{\frac{3 b x +3 a}{d x +c}} c^{2} b}{8 d \left(d a -c b \right)}+\frac{3 \,{\mathrm e}^{\frac{3 b}{d}} \Ei \left(1, -\frac{3 \left(d a -c b \right)}{d \left(d x +c \right)}\right) a}{8 d}-\frac{3 \,{\mathrm e}^{\frac{3 b}{d}} \Ei \left(1, -\frac{3 \left(d a -c b \right)}{d \left(d x +c \right)}\right) c b}{8 d^{2}}-\frac{3 d \,{\mathrm e}^{\frac{b x +a}{d x +c}} x a}{8 \left(d a -c b \right)}+\frac{3 \,{\mathrm e}^{\frac{b x +a}{d x +c}} x c b}{8 \left(d a -c b \right)}-\frac{3 \,{\mathrm e}^{\frac{b x +a}{d x +c}} c a}{8 \left(d a -c b \right)}+\frac{3 \,{\mathrm e}^{\frac{b x +a}{d x +c}} c^{2} b}{8 d \left(d a -c b \right)}-\frac{3 \,{\mathrm e}^{\frac{b}{d}} \Ei \left(1, -\frac{d a -c b}{d \left(d x +c \right)}\right) a}{8 d}+\frac{3 \,{\mathrm e}^{\frac{b}{d}} \Ei \left(1, -\frac{d a -c b}{d \left(d x +c \right)}\right) c b}{8 d^{2}}"," ",0,"-1/8*exp(-3*(b*x+a)/(d*x+c))/(d*a/(d*x+c)-b*c/(d*x+c))*a+1/8/d*exp(-3*(b*x+a)/(d*x+c))/(d*a/(d*x+c)-b*c/(d*x+c))*c*b+3/8/d*exp(-3*b/d)*Ei(1,3*(a*d-b*c)/d/(d*x+c))*a-3/8/d^2*exp(-3*b/d)*Ei(1,3*(a*d-b*c)/d/(d*x+c))*c*b+3/8*exp(-(b*x+a)/(d*x+c))/(d*a/(d*x+c)-b*c/(d*x+c))*a-3/8/d*exp(-(b*x+a)/(d*x+c))/(d*a/(d*x+c)-b*c/(d*x+c))*c*b-3/8/d*exp(-b/d)*Ei(1,(a*d-b*c)/d/(d*x+c))*a+3/8/d^2*exp(-b/d)*Ei(1,(a*d-b*c)/d/(d*x+c))*c*b+1/8*d*exp(3*(b*x+a)/(d*x+c))/(a*d-b*c)*x*a-1/8*exp(3*(b*x+a)/(d*x+c))/(a*d-b*c)*x*c*b+1/8*exp(3*(b*x+a)/(d*x+c))/(a*d-b*c)*c*a-1/8/d*exp(3*(b*x+a)/(d*x+c))/(a*d-b*c)*c^2*b+3/8/d*exp(3*b/d)*Ei(1,-3*(a*d-b*c)/d/(d*x+c))*a-3/8/d^2*exp(3*b/d)*Ei(1,-3*(a*d-b*c)/d/(d*x+c))*c*b-3/8*d*exp((b*x+a)/(d*x+c))/(a*d-b*c)*x*a+3/8*exp((b*x+a)/(d*x+c))/(a*d-b*c)*x*c*b-3/8*exp((b*x+a)/(d*x+c))/(a*d-b*c)*c*a+3/8/d*exp((b*x+a)/(d*x+c))/(a*d-b*c)*c^2*b-3/8/d*exp(b/d)*Ei(1,-(a*d-b*c)/d/(d*x+c))*a+3/8/d^2*exp(b/d)*Ei(1,-(a*d-b*c)/d/(d*x+c))*c*b","B"
298,1,459,121,0.085000," ","int(sinh(e+f*(b*x+a)/(d*x+c)),x)","-\frac{f \,{\mathrm e}^{-\frac{b f x +d e x +a f +c e}{d x +c}} a}{2 \left(\frac{d a f}{d x +c}-\frac{f c b}{d x +c}\right)}+\frac{f \,{\mathrm e}^{-\frac{b f x +d e x +a f +c e}{d x +c}} c b}{2 d \left(\frac{d a f}{d x +c}-\frac{f c b}{d x +c}\right)}+\frac{f \,{\mathrm e}^{-\frac{b f +d e}{d}} \Ei \left(1, \frac{\left(d a -c b \right) f}{d \left(d x +c \right)}\right) a}{2 d}-\frac{f \,{\mathrm e}^{-\frac{b f +d e}{d}} \Ei \left(1, \frac{\left(d a -c b \right) f}{d \left(d x +c \right)}\right) c b}{2 d^{2}}+\frac{f \,{\mathrm e}^{\frac{b f x +d e x +a f +c e}{d x +c}} a}{2 d \left(\frac{a f}{d x +c}-\frac{f c b}{d \left(d x +c \right)}\right)}-\frac{f \,{\mathrm e}^{\frac{b f x +d e x +a f +c e}{d x +c}} c b}{2 d^{2} \left(\frac{a f}{d x +c}-\frac{f c b}{d \left(d x +c \right)}\right)}+\frac{f \,{\mathrm e}^{\frac{b f +d e}{d}} \Ei \left(1, -\frac{\left(d a -c b \right) f}{d \left(d x +c \right)}-\frac{b f +d e}{d}-\frac{-b f -d e}{d}\right) a}{2 d}-\frac{f \,{\mathrm e}^{\frac{b f +d e}{d}} \Ei \left(1, -\frac{\left(d a -c b \right) f}{d \left(d x +c \right)}-\frac{b f +d e}{d}-\frac{-b f -d e}{d}\right) c b}{2 d^{2}}"," ",0,"-1/2*f*exp(-(b*f*x+d*e*x+a*f+c*e)/(d*x+c))/(d/(d*x+c)*a*f-f/(d*x+c)*c*b)*a+1/2/d*f*exp(-(b*f*x+d*e*x+a*f+c*e)/(d*x+c))/(d/(d*x+c)*a*f-f/(d*x+c)*c*b)*c*b+1/2/d*f*exp(-(b*f+d*e)/d)*Ei(1,(a*d-b*c)*f/d/(d*x+c))*a-1/2/d^2*f*exp(-(b*f+d*e)/d)*Ei(1,(a*d-b*c)*f/d/(d*x+c))*c*b+1/2/d*f*exp((b*f*x+d*e*x+a*f+c*e)/(d*x+c))/(1/(d*x+c)*a*f-f/d/(d*x+c)*c*b)*a-1/2/d^2*f*exp((b*f*x+d*e*x+a*f+c*e)/(d*x+c))/(1/(d*x+c)*a*f-f/d/(d*x+c)*c*b)*c*b+1/2/d*f*exp((b*f+d*e)/d)*Ei(1,-(a*d-b*c)*f/d/(d*x+c)-(b*f+d*e)/d-(-b*f-d*e)/d)*a-1/2/d^2*f*exp((b*f+d*e)/d)*Ei(1,-(a*d-b*c)*f/d/(d*x+c)-(b*f+d*e)/d-(-b*f-d*e)/d)*c*b","B"
299,1,468,131,0.241000," ","int(sinh(e+f*(b*x+a)/(d*x+c))^2,x)","-\frac{x}{2}+\frac{f \,{\mathrm e}^{-\frac{2 \left(b f x +d e x +a f +c e \right)}{d x +c}} a}{\frac{4 d a f}{d x +c}-\frac{4 f c b}{d x +c}}-\frac{f \,{\mathrm e}^{-\frac{2 \left(b f x +d e x +a f +c e \right)}{d x +c}} c b}{4 d \left(\frac{d a f}{d x +c}-\frac{f c b}{d x +c}\right)}-\frac{f \,{\mathrm e}^{-\frac{2 \left(b f +d e \right)}{d}} \Ei \left(1, \frac{2 \left(d a -c b \right) f}{d \left(d x +c \right)}\right) a}{2 d}+\frac{f \,{\mathrm e}^{-\frac{2 \left(b f +d e \right)}{d}} \Ei \left(1, \frac{2 \left(d a -c b \right) f}{d \left(d x +c \right)}\right) c b}{2 d^{2}}+\frac{f \,{\mathrm e}^{\frac{2 b f x +2 d e x +2 a f +2 c e}{d x +c}} a}{4 d \left(\frac{a f}{d x +c}-\frac{f c b}{d \left(d x +c \right)}\right)}-\frac{f \,{\mathrm e}^{\frac{2 b f x +2 d e x +2 a f +2 c e}{d x +c}} c b}{4 d^{2} \left(\frac{a f}{d x +c}-\frac{f c b}{d \left(d x +c \right)}\right)}+\frac{f \,{\mathrm e}^{\frac{2 b f +2 d e}{d}} \Ei \left(1, -\frac{2 \left(d a -c b \right) f}{d \left(d x +c \right)}-\frac{2 \left(b f +d e \right)}{d}-\frac{2 \left(-b f -d e \right)}{d}\right) a}{2 d}-\frac{f \,{\mathrm e}^{\frac{2 b f +2 d e}{d}} \Ei \left(1, -\frac{2 \left(d a -c b \right) f}{d \left(d x +c \right)}-\frac{2 \left(b f +d e \right)}{d}-\frac{2 \left(-b f -d e \right)}{d}\right) c b}{2 d^{2}}"," ",0,"-1/2*x+1/4*f*exp(-2*(b*f*x+d*e*x+a*f+c*e)/(d*x+c))/(d/(d*x+c)*a*f-f/(d*x+c)*c*b)*a-1/4/d*f*exp(-2*(b*f*x+d*e*x+a*f+c*e)/(d*x+c))/(d/(d*x+c)*a*f-f/(d*x+c)*c*b)*c*b-1/2/d*f*exp(-2*(b*f+d*e)/d)*Ei(1,2*(a*d-b*c)*f/d/(d*x+c))*a+1/2/d^2*f*exp(-2*(b*f+d*e)/d)*Ei(1,2*(a*d-b*c)*f/d/(d*x+c))*c*b+1/4/d*f*exp(2*(b*f*x+d*e*x+a*f+c*e)/(d*x+c))/(1/(d*x+c)*a*f-f/d/(d*x+c)*c*b)*a-1/4/d^2*f*exp(2*(b*f*x+d*e*x+a*f+c*e)/(d*x+c))/(1/(d*x+c)*a*f-f/d/(d*x+c)*c*b)*c*b+1/2/d*f*exp(2*(b*f+d*e)/d)*Ei(1,-2*(a*d-b*c)*f/d/(d*x+c)-2*(b*f+d*e)/d-2*(-b*f-d*e)/d)*a-1/2/d^2*f*exp(2*(b*f+d*e)/d)*Ei(1,-2*(a*d-b*c)*f/d/(d*x+c)-2*(b*f+d*e)/d-2*(-b*f-d*e)/d)*c*b","B"
300,1,922,220,0.218000," ","int(sinh(e+f*(b*x+a)/(d*x+c))^3,x)","-\frac{f \,{\mathrm e}^{-\frac{3 \left(b f x +d e x +a f +c e \right)}{d x +c}} a}{8 \left(\frac{d a f}{d x +c}-\frac{f c b}{d x +c}\right)}+\frac{f \,{\mathrm e}^{-\frac{3 \left(b f x +d e x +a f +c e \right)}{d x +c}} c b}{8 d \left(\frac{d a f}{d x +c}-\frac{f c b}{d x +c}\right)}+\frac{3 f \,{\mathrm e}^{-\frac{3 \left(b f +d e \right)}{d}} \Ei \left(1, \frac{3 \left(d a -c b \right) f}{d \left(d x +c \right)}\right) a}{8 d}-\frac{3 f \,{\mathrm e}^{-\frac{3 \left(b f +d e \right)}{d}} \Ei \left(1, \frac{3 \left(d a -c b \right) f}{d \left(d x +c \right)}\right) c b}{8 d^{2}}+\frac{3 f \,{\mathrm e}^{-\frac{b f x +d e x +a f +c e}{d x +c}} a}{8 \left(\frac{d a f}{d x +c}-\frac{f c b}{d x +c}\right)}-\frac{3 f \,{\mathrm e}^{-\frac{b f x +d e x +a f +c e}{d x +c}} c b}{8 d \left(\frac{d a f}{d x +c}-\frac{f c b}{d x +c}\right)}-\frac{3 f \,{\mathrm e}^{-\frac{b f +d e}{d}} \Ei \left(1, \frac{\left(d a -c b \right) f}{d \left(d x +c \right)}\right) a}{8 d}+\frac{3 f \,{\mathrm e}^{-\frac{b f +d e}{d}} \Ei \left(1, \frac{\left(d a -c b \right) f}{d \left(d x +c \right)}\right) c b}{8 d^{2}}+\frac{f \,{\mathrm e}^{\frac{3 b f x +3 d e x +3 a f +3 c e}{d x +c}} a}{8 d \left(\frac{a f}{d x +c}-\frac{f c b}{d \left(d x +c \right)}\right)}-\frac{f \,{\mathrm e}^{\frac{3 b f x +3 d e x +3 a f +3 c e}{d x +c}} c b}{8 d^{2} \left(\frac{a f}{d x +c}-\frac{f c b}{d \left(d x +c \right)}\right)}+\frac{3 f \,{\mathrm e}^{\frac{3 b f +3 d e}{d}} \Ei \left(1, -\frac{3 \left(d a -c b \right) f}{d \left(d x +c \right)}-\frac{3 \left(b f +d e \right)}{d}-\frac{3 \left(-b f -d e \right)}{d}\right) a}{8 d}-\frac{3 f \,{\mathrm e}^{\frac{3 b f +3 d e}{d}} \Ei \left(1, -\frac{3 \left(d a -c b \right) f}{d \left(d x +c \right)}-\frac{3 \left(b f +d e \right)}{d}-\frac{3 \left(-b f -d e \right)}{d}\right) c b}{8 d^{2}}-\frac{3 f \,{\mathrm e}^{\frac{b f x +d e x +a f +c e}{d x +c}} a}{8 d \left(\frac{a f}{d x +c}-\frac{f c b}{d \left(d x +c \right)}\right)}+\frac{3 f \,{\mathrm e}^{\frac{b f x +d e x +a f +c e}{d x +c}} c b}{8 d^{2} \left(\frac{a f}{d x +c}-\frac{f c b}{d \left(d x +c \right)}\right)}-\frac{3 f \,{\mathrm e}^{\frac{b f +d e}{d}} \Ei \left(1, -\frac{\left(d a -c b \right) f}{d \left(d x +c \right)}-\frac{b f +d e}{d}-\frac{-b f -d e}{d}\right) a}{8 d}+\frac{3 f \,{\mathrm e}^{\frac{b f +d e}{d}} \Ei \left(1, -\frac{\left(d a -c b \right) f}{d \left(d x +c \right)}-\frac{b f +d e}{d}-\frac{-b f -d e}{d}\right) c b}{8 d^{2}}"," ",0,"-1/8*f*exp(-3*(b*f*x+d*e*x+a*f+c*e)/(d*x+c))/(d/(d*x+c)*a*f-f/(d*x+c)*c*b)*a+1/8/d*f*exp(-3*(b*f*x+d*e*x+a*f+c*e)/(d*x+c))/(d/(d*x+c)*a*f-f/(d*x+c)*c*b)*c*b+3/8/d*f*exp(-3*(b*f+d*e)/d)*Ei(1,3*(a*d-b*c)*f/d/(d*x+c))*a-3/8/d^2*f*exp(-3*(b*f+d*e)/d)*Ei(1,3*(a*d-b*c)*f/d/(d*x+c))*c*b+3/8*f*exp(-(b*f*x+d*e*x+a*f+c*e)/(d*x+c))/(d/(d*x+c)*a*f-f/(d*x+c)*c*b)*a-3/8/d*f*exp(-(b*f*x+d*e*x+a*f+c*e)/(d*x+c))/(d/(d*x+c)*a*f-f/(d*x+c)*c*b)*c*b-3/8/d*f*exp(-(b*f+d*e)/d)*Ei(1,(a*d-b*c)*f/d/(d*x+c))*a+3/8/d^2*f*exp(-(b*f+d*e)/d)*Ei(1,(a*d-b*c)*f/d/(d*x+c))*c*b+1/8/d*f*exp(3*(b*f*x+d*e*x+a*f+c*e)/(d*x+c))/(1/(d*x+c)*a*f-f/d/(d*x+c)*c*b)*a-1/8/d^2*f*exp(3*(b*f*x+d*e*x+a*f+c*e)/(d*x+c))/(1/(d*x+c)*a*f-f/d/(d*x+c)*c*b)*c*b+3/8/d*f*exp(3*(b*f+d*e)/d)*Ei(1,-3*(a*d-b*c)*f/d/(d*x+c)-3*(b*f+d*e)/d-3*(-b*f-d*e)/d)*a-3/8/d^2*f*exp(3*(b*f+d*e)/d)*Ei(1,-3*(a*d-b*c)*f/d/(d*x+c)-3*(b*f+d*e)/d-3*(-b*f-d*e)/d)*c*b-3/8/d*f*exp((b*f*x+d*e*x+a*f+c*e)/(d*x+c))/(1/(d*x+c)*a*f-f/d/(d*x+c)*c*b)*a+3/8/d^2*f*exp((b*f*x+d*e*x+a*f+c*e)/(d*x+c))/(1/(d*x+c)*a*f-f/d/(d*x+c)*c*b)*c*b-3/8/d*f*exp((b*f+d*e)/d)*Ei(1,-(a*d-b*c)*f/d/(d*x+c)-(b*f+d*e)/d-(-b*f-d*e)/d)*a+3/8/d^2*f*exp((b*f+d*e)/d)*Ei(1,-(a*d-b*c)*f/d/(d*x+c)-(b*f+d*e)/d-(-b*f-d*e)/d)*c*b","B"
301,1,45,68,0.018000," ","int(exp(b*x+a)*sinh(b*x+a)^4,x)","\frac{\left(\frac{8}{15}+\frac{\left(\sinh^{4}\left(b x +a \right)\right)}{5}-\frac{4 \left(\sinh^{2}\left(b x +a \right)\right)}{15}\right) \cosh \left(b x +a \right)+\frac{\left(\sinh^{5}\left(b x +a \right)\right)}{5}}{b}"," ",0,"1/b*((8/15+1/5*sinh(b*x+a)^4-4/15*sinh(b*x+a)^2)*cosh(b*x+a)+1/5*sinh(b*x+a)^5)","A"
302,1,49,46,0.020000," ","int(exp(b*x+a)*sinh(b*x+a)^3,x)","\frac{\left(\frac{\left(\sinh^{3}\left(b x +a \right)\right)}{4}-\frac{3 \sinh \left(b x +a \right)}{8}\right) \cosh \left(b x +a \right)+\frac{3 b x}{8}+\frac{3 a}{8}+\frac{\left(\sinh^{4}\left(b x +a \right)\right)}{4}}{b}"," ",0,"1/b*((1/4*sinh(b*x+a)^3-3/8*sinh(b*x+a))*cosh(b*x+a)+3/8*b*x+3/8*a+1/4*sinh(b*x+a)^4)","A"
303,1,35,40,0.018000," ","int(exp(b*x+a)*sinh(b*x+a)^2,x)","\frac{\left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(b x +a \right)\right)}{3}\right) \cosh \left(b x +a \right)+\frac{\left(\sinh^{3}\left(b x +a \right)\right)}{3}}{b}"," ",0,"1/b*((-2/3+1/3*sinh(b*x+a)^2)*cosh(b*x+a)+1/3*sinh(b*x+a)^3)","A"
304,1,37,18,0.013000," ","int(exp(b*x+a)*sinh(b*x+a),x)","\frac{\frac{\cosh \left(b x +a \right) \sinh \left(b x +a \right)}{2}-\frac{b x}{2}-\frac{a}{2}+\frac{\left(\cosh^{2}\left(b x +a \right)\right)}{2}}{b}"," ",0,"1/b*(1/2*cosh(b*x+a)*sinh(b*x+a)-1/2*b*x-1/2*a+1/2*cosh(b*x+a)^2)","A"
305,1,19,18,0.019000," ","int(exp(b*x+a)*csch(b*x+a),x)","x +\frac{\ln \left(\sinh \left(b x +a \right)\right)}{b}+\frac{a}{b}"," ",0,"x+1/b*ln(sinh(b*x+a))+a/b","A"
306,1,25,39,0.022000," ","int(exp(b*x+a)*csch(b*x+a)^2,x)","\frac{-2 \arctanh \left({\mathrm e}^{b x +a}\right)-\frac{1}{\sinh \left(b x +a \right)}}{b}"," ",0,"1/b*(-2*arctanh(exp(b*x+a))-1/sinh(b*x+a))","A"
307,1,24,29,0.034000," ","int(exp(b*x+a)*csch(b*x+a)^3,x)","\frac{-\coth \left(b x +a \right)-\frac{1}{2 \sinh \left(b x +a \right)^{2}}}{b}"," ",0,"1/b*(-coth(b*x+a)-1/2/sinh(b*x+a)^2)","A"
308,1,37,92,0.033000," ","int(exp(b*x+a)*csch(b*x+a)^4,x)","\frac{-\frac{\mathrm{csch}\left(b x +a \right) \coth \left(b x +a \right)}{2}+\arctanh \left({\mathrm e}^{b x +a}\right)-\frac{1}{3 \sinh \left(b x +a \right)^{3}}}{b}"," ",0,"1/b*(-1/2*csch(b*x+a)*coth(b*x+a)+arctanh(exp(b*x+a))-1/3/sinh(b*x+a)^3)","A"
309,1,35,61,0.122000," ","int(exp(b*x+a)*csch(b*x+a)^5,x)","\frac{\left(\frac{2}{3}-\frac{\mathrm{csch}\left(b x +a \right)^{2}}{3}\right) \coth \left(b x +a \right)-\frac{1}{4 \sinh \left(b x +a \right)^{4}}}{b}"," ",0,"1/b*((2/3-1/3*csch(b*x+a)^2)*coth(b*x+a)-1/4/sinh(b*x+a)^4)","A"
310,1,34,19,0.040000," ","int(exp(x)*sinh(2*x)^2,x)","-\frac{\sinh \left(x \right)}{2}+\frac{\sinh \left(3 x \right)}{12}+\frac{\sinh \left(5 x \right)}{20}-\frac{\cosh \left(x \right)}{2}-\frac{\cosh \left(3 x \right)}{12}+\frac{\cosh \left(5 x \right)}{20}"," ",0,"-1/2*sinh(x)+1/12*sinh(3*x)+1/20*sinh(5*x)-1/2*cosh(x)-1/12*cosh(3*x)+1/20*cosh(5*x)","A"
311,1,22,13,0.015000," ","int(exp(x)*sinh(2*x),x)","-\frac{\sinh \left(x \right)}{2}+\frac{\sinh \left(3 x \right)}{6}+\frac{\cosh \left(x \right)}{2}+\frac{\cosh \left(3 x \right)}{6}"," ",0,"-1/2*sinh(x)+1/6*sinh(3*x)+1/2*cosh(x)+1/6*cosh(3*x)","A"
312,1,34,9,0.079000," ","int(exp(x)*csch(2*x),x)","-\frac{\ln \left({\mathrm e}^{x}+1\right)}{2}+\frac{\ln \left({\mathrm e}^{x}-1\right)}{2}+\frac{i \ln \left({\mathrm e}^{x}+i\right)}{2}-\frac{i \ln \left({\mathrm e}^{x}-i\right)}{2}"," ",0,"-1/2*ln(exp(x)+1)+1/2*ln(exp(x)-1)+1/2*I*ln(exp(x)+I)-1/2*I*ln(exp(x)-I)","C"
313,1,46,24,0.086000," ","int(exp(x)*csch(2*x)^2,x)","-\frac{{\mathrm e}^{x}}{{\mathrm e}^{4 x}-1}-\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}+\frac{\ln \left({\mathrm e}^{x}-1\right)}{4}"," ",0,"-exp(x)/(exp(4*x)-1)-1/4*ln(exp(x)+1)+1/4*I*ln(exp(x)-I)-1/4*I*ln(exp(x)+I)+1/4*ln(exp(x)-1)","C"
314,1,34,19,0.029000," ","int(exp(x)*sinh(3*x)^2,x)","-\frac{\sinh \left(x \right)}{2}+\frac{\sinh \left(5 x \right)}{20}+\frac{\sinh \left(7 x \right)}{28}-\frac{\cosh \left(x \right)}{2}-\frac{\cosh \left(5 x \right)}{20}+\frac{\cosh \left(7 x \right)}{28}"," ",0,"-1/2*sinh(x)+1/20*sinh(5*x)+1/28*sinh(7*x)-1/2*cosh(x)-1/20*cosh(5*x)+1/28*cosh(7*x)","A"
315,1,26,15,0.036000," ","int(exp(x)*sinh(3*x),x)","-\frac{\sinh \left(2 x \right)}{4}+\frac{\sinh \left(4 x \right)}{8}+\frac{\cosh \left(2 x \right)}{4}+\frac{\cosh \left(4 x \right)}{8}"," ",0,"-1/4*sinh(2*x)+1/8*sinh(4*x)+1/4*cosh(2*x)+1/8*cosh(4*x)","A"
316,1,79,44,0.082000," ","int(exp(x)*csch(3*x),x)","-\frac{\ln \left({\mathrm e}^{2 x}+\frac{1}{2}+\frac{i \sqrt{3}}{2}\right)}{6}+\frac{i \ln \left({\mathrm e}^{2 x}+\frac{1}{2}+\frac{i \sqrt{3}}{2}\right) \sqrt{3}}{6}-\frac{\ln \left({\mathrm e}^{2 x}+\frac{1}{2}-\frac{i \sqrt{3}}{2}\right)}{6}-\frac{i \ln \left({\mathrm e}^{2 x}+\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}{6}+\frac{\ln \left({\mathrm e}^{2 x}-1\right)}{3}"," ",0,"-1/6*ln(exp(2*x)+1/2+1/2*I*3^(1/2))+1/6*I*ln(exp(2*x)+1/2+1/2*I*3^(1/2))*3^(1/2)-1/6*ln(exp(2*x)+1/2-1/2*I*3^(1/2))-1/6*I*ln(exp(2*x)+1/2-1/2*I*3^(1/2))*3^(1/2)+1/3*ln(exp(2*x)-1)","C"
317,1,148,78,0.099000," ","int(exp(x)*csch(3*x)^2,x)","-\frac{2 \,{\mathrm e}^{x}}{3 \left({\mathrm e}^{6 x}-1\right)}+\frac{\ln \left({\mathrm e}^{x}-\frac{1}{2}-\frac{i \sqrt{3}}{2}\right)}{18}+\frac{i \ln \left({\mathrm e}^{x}-\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}{18}+\frac{\ln \left({\mathrm e}^{x}-\frac{1}{2}+\frac{i \sqrt{3}}{2}\right)}{18}-\frac{i \ln \left({\mathrm e}^{x}-\frac{1}{2}+\frac{i \sqrt{3}}{2}\right) \sqrt{3}}{18}-\frac{\ln \left({\mathrm e}^{x}+1\right)}{9}-\frac{\ln \left({\mathrm e}^{x}+\frac{1}{2}-\frac{i \sqrt{3}}{2}\right)}{18}+\frac{i \ln \left({\mathrm e}^{x}+\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}{18}-\frac{\ln \left({\mathrm e}^{x}+\frac{1}{2}+\frac{i \sqrt{3}}{2}\right)}{18}-\frac{i \ln \left({\mathrm e}^{x}+\frac{1}{2}+\frac{i \sqrt{3}}{2}\right) \sqrt{3}}{18}+\frac{\ln \left({\mathrm e}^{x}-1\right)}{9}"," ",0,"-2/3*exp(x)/(exp(6*x)-1)+1/18*ln(exp(x)-1/2-1/2*I*3^(1/2))+1/18*I*ln(exp(x)-1/2-1/2*I*3^(1/2))*3^(1/2)+1/18*ln(exp(x)-1/2+1/2*I*3^(1/2))-1/18*I*ln(exp(x)-1/2+1/2*I*3^(1/2))*3^(1/2)-1/9*ln(exp(x)+1)-1/18*ln(exp(x)+1/2-1/2*I*3^(1/2))+1/18*I*ln(exp(x)+1/2-1/2*I*3^(1/2))*3^(1/2)-1/18*ln(exp(x)+1/2+1/2*I*3^(1/2))-1/18*I*ln(exp(x)+1/2+1/2*I*3^(1/2))*3^(1/2)+1/9*ln(exp(x)-1)","C"
318,1,34,19,0.029000," ","int(exp(x)*sinh(4*x)^2,x)","-\frac{\sinh \left(x \right)}{2}+\frac{\sinh \left(7 x \right)}{28}+\frac{\sinh \left(9 x \right)}{36}-\frac{\cosh \left(x \right)}{2}-\frac{\cosh \left(7 x \right)}{28}+\frac{\cosh \left(9 x \right)}{36}"," ",0,"-1/2*sinh(x)+1/28*sinh(7*x)+1/36*sinh(9*x)-1/2*cosh(x)-1/28*cosh(7*x)+1/36*cosh(9*x)","A"
319,1,26,15,0.016000," ","int(exp(x)*sinh(4*x),x)","-\frac{\sinh \left(3 x \right)}{6}+\frac{\sinh \left(5 x \right)}{10}+\frac{\cosh \left(3 x \right)}{6}+\frac{\cosh \left(5 x \right)}{10}"," ",0,"-1/6*sinh(3*x)+1/10*sinh(5*x)+1/6*cosh(3*x)+1/10*cosh(5*x)","A"
320,1,56,76,0.091000," ","int(exp(x)*csch(4*x),x)","\frac{\ln \left({\mathrm e}^{x}-1\right)}{4}+2 \left(\munderset{\textit{\_R} =\RootOf \left(4096 \textit{\_Z}^{4}+1\right)}{\sum}\textit{\_R} \ln \left({\mathrm e}^{x}+8 \textit{\_R} \right)\right)-\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,"1/4*ln(exp(x)-1)+2*sum(_R*ln(exp(x)+8*_R),_R=RootOf(4096*_Z^4+1))-1/4*ln(exp(x)+1)+1/4*I*ln(exp(x)-I)-1/4*I*ln(exp(x)+I)","C"
321,1,68,90,0.099000," ","int(exp(x)*csch(4*x)^2,x)","-\frac{{\mathrm e}^{x}}{2 \left({\mathrm e}^{8 x}-1\right)}+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)+\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,"-1/2*exp(x)/(exp(8*x)-1)+4*sum(_R*ln(exp(x)-64*_R),_R=RootOf(16777216*_Z^4+1))+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"
322,1,326,202,0.129000," ","int(F^(c*(b*x+a))*sinh(e*x+d)^3,x)","\frac{\left(\ln \left(F \right)^{3} b^{3} c^{3} {\mathrm e}^{6 e x +6 d}-3 \ln \left(F \right)^{3} b^{3} c^{3} {\mathrm e}^{4 e x +4 d}-3 \ln \left(F \right)^{2} b^{2} c^{2} e \,{\mathrm e}^{6 e x +6 d}+3 \ln \left(F \right)^{3} b^{3} c^{3} {\mathrm e}^{2 e x +2 d}+3 \ln \left(F \right)^{2} b^{2} c^{2} e \,{\mathrm e}^{4 e x +4 d}-\ln \left(F \right) b c \,e^{2} {\mathrm e}^{6 e x +6 d}-\ln \left(F \right)^{3} b^{3} c^{3}+3 \ln \left(F \right)^{2} b^{2} c^{2} e \,{\mathrm e}^{2 e x +2 d}+27 \ln \left(F \right) b c \,e^{2} {\mathrm e}^{4 e x +4 d}+3 e^{3} {\mathrm e}^{6 e x +6 d}-3 \ln \left(F \right)^{2} b^{2} c^{2} e -27 \ln \left(F \right) b c \,e^{2} {\mathrm e}^{2 e x +2 d}-27 e^{3} {\mathrm e}^{4 e x +4 d}+\ln \left(F \right) b c \,e^{2}-27 e^{3} {\mathrm e}^{2 e x +2 d}+3 e^{3}\right) {\mathrm e}^{-3 e x -3 d} F^{c \left(b x +a \right)}}{8 \left(b c \ln \left(F \right)-e \right) \left(b c \ln \left(F \right)-3 e \right) \left(e +b c \ln \left(F \right)\right) \left(b c \ln \left(F \right)+3 e \right)}"," ",0,"1/8*(ln(F)^3*b^3*c^3*exp(6*e*x+6*d)-3*ln(F)^3*b^3*c^3*exp(4*e*x+4*d)-3*ln(F)^2*b^2*c^2*e*exp(6*e*x+6*d)+3*ln(F)^3*b^3*c^3*exp(2*e*x+2*d)+3*ln(F)^2*b^2*c^2*e*exp(4*e*x+4*d)-ln(F)*b*c*e^2*exp(6*e*x+6*d)-ln(F)^3*b^3*c^3+3*ln(F)^2*b^2*c^2*e*exp(2*e*x+2*d)+27*ln(F)*b*c*e^2*exp(4*e*x+4*d)+3*e^3*exp(6*e*x+6*d)-3*ln(F)^2*b^2*c^2*e-27*ln(F)*b*c*e^2*exp(2*e*x+2*d)-27*e^3*exp(4*e*x+4*d)+ln(F)*b*c*e^2-27*e^3*exp(2*e*x+2*d)+3*e^3)/(b*c*ln(F)-e)*exp(-3*e*x-3*d)/(b*c*ln(F)-3*e)/(e+b*c*ln(F))/(b*c*ln(F)+3*e)*F^(c*(b*x+a))","A"
323,1,143,132,0.071000," ","int(F^(c*(b*x+a))*sinh(e*x+d)^2,x)","\frac{\left(\ln \left(F \right)^{2} b^{2} c^{2} {\mathrm e}^{4 e x +4 d}-2 \ln \left(F \right)^{2} b^{2} c^{2} {\mathrm e}^{2 e x +2 d}-2 \ln \left(F \right) b c e \,{\mathrm e}^{4 e x +4 d}+b^{2} c^{2} \ln \left(F \right)^{2}+2 \ln \left(F \right) b c e +8 e^{2} {\mathrm e}^{2 e x +2 d}\right) {\mathrm e}^{-2 e x -2 d} F^{c \left(b x +a \right)}}{4 \ln \left(F \right) b c \left(b c \ln \left(F \right)-2 e \right) \left(b c \ln \left(F \right)+2 e \right)}"," ",0,"1/4*(ln(F)^2*b^2*c^2*exp(4*e*x+4*d)-2*ln(F)^2*b^2*c^2*exp(2*e*x+2*d)-2*ln(F)*b*c*e*exp(4*e*x+4*d)+b^2*c^2*ln(F)^2+2*ln(F)*b*c*e+8*e^2*exp(2*e*x+2*d))/ln(F)/b/c/(b*c*ln(F)-2*e)*exp(-2*e*x-2*d)/(b*c*ln(F)+2*e)*F^(c*(b*x+a))","A"
324,1,77,75,0.020000," ","int(F^(c*(b*x+a))*sinh(e*x+d),x)","\frac{\left(\ln \left(F \right) b c \,{\mathrm e}^{2 e x +2 d}-b c \ln \left(F \right)-e \,{\mathrm e}^{2 e x +2 d}-e \right) {\mathrm e}^{-e x -d} F^{c \left(b x +a \right)}}{2 \left(b c \ln \left(F \right)-e \right) \left(e +b c \ln \left(F \right)\right)}"," ",0,"1/2*(ln(F)*b*c*exp(2*e*x+2*d)-b*c*ln(F)-e*exp(2*e*x+2*d)-e)/(b*c*ln(F)-e)*exp(-e*x-d)/(e+b*c*ln(F))*F^(c*(b*x+a))","A"
325,0,0,62,0.041000," ","int(F^(c*(b*x+a))*csch(e*x+d),x)","\int F^{c \left(b x +a \right)} \mathrm{csch}\left(e x +d \right)\, dx"," ",0,"int(F^(c*(b*x+a))*csch(e*x+d),x)","F"
326,0,0,66,0.040000," ","int(F^(c*(b*x+a))*csch(e*x+d)^2,x)","\int F^{c \left(b x +a \right)} \mathrm{csch}\left(e x +d \right)^{2}\, dx"," ",0,"int(F^(c*(b*x+a))*csch(e*x+d)^2,x)","F"
327,0,0,114,0.056000," ","int(F^(c*(b*x+a))*csch(e*x+d)^3,x)","\int F^{c \left(b x +a \right)} \mathrm{csch}\left(e x +d \right)^{3}\, dx"," ",0,"int(F^(c*(b*x+a))*csch(e*x+d)^3,x)","F"
328,0,0,123,0.060000," ","int(F^(c*(b*x+a))*csch(e*x+d)^4,x)","\int F^{c \left(b x +a \right)} \mathrm{csch}\left(e x +d \right)^{4}\, dx"," ",0,"int(F^(c*(b*x+a))*csch(e*x+d)^4,x)","F"
329,1,184,225,0.226000," ","int(exp(c*(b*x+a))*(sinh(b*c*x+a*c)^2)^(5/2),x)","\frac{8 \sqrt{-\frac{1}{2}+\frac{\cosh \left(2 b c x +2 a c \right)}{2}}\, \cosh \left(c \left(b x +a \right)\right) \left(\sinh^{5}\left(c \left(b x +a \right)\right)\right)+8 \sqrt{-\frac{1}{2}+\frac{\cosh \left(2 b c x +2 a c \right)}{2}}\, \left(\sinh^{6}\left(c \left(b x +a \right)\right)\right)-10 \sqrt{-\frac{1}{2}+\frac{\cosh \left(2 b c x +2 a c \right)}{2}}\, \cosh \left(c \left(b x +a \right)\right) \left(\sinh^{3}\left(c \left(b x +a \right)\right)\right)+15 \cosh \left(c \left(b x +a \right)\right) \sqrt{-\frac{1}{2}+\frac{\cosh \left(2 b c x +2 a c \right)}{2}}\, \sinh \left(c \left(b x +a \right)\right)-15 \ln \left(\cosh \left(c \left(b x +a \right)\right)+\sqrt{-\frac{1}{2}+\frac{\cosh \left(2 b c x +2 a c \right)}{2}}\right) \sinh \left(c \left(b x +a \right)\right)+8 \sqrt{-\frac{1}{2}+\frac{\cosh \left(2 b c x +2 a c \right)}{2}}}{48 \sinh \left(c \left(b x +a \right)\right) c b}"," ",0,"1/48*(8*(sinh(c*(b*x+a))^2)^(1/2)*cosh(c*(b*x+a))*sinh(c*(b*x+a))^5+8*(sinh(c*(b*x+a))^2)^(1/2)*sinh(c*(b*x+a))^6-10*(sinh(c*(b*x+a))^2)^(1/2)*cosh(c*(b*x+a))*sinh(c*(b*x+a))^3+15*cosh(c*(b*x+a))*(sinh(c*(b*x+a))^2)^(1/2)*sinh(c*(b*x+a))-15*ln(cosh(c*(b*x+a))+(sinh(c*(b*x+a))^2)^(1/2))*sinh(c*(b*x+a))+8*(sinh(c*(b*x+a))^2)^(1/2))/sinh(c*(b*x+a))/c/b","A"
330,1,152,145,0.182000," ","int(exp(c*(b*x+a))*(sinh(b*c*x+a*c)^2)^(3/2),x)","\frac{2 \sqrt{-\frac{1}{2}+\frac{\cosh \left(2 b c x +2 a c \right)}{2}}\, \cosh \left(c \left(b x +a \right)\right) \left(\sinh^{3}\left(c \left(b x +a \right)\right)\right)+2 \sqrt{-\frac{1}{2}+\frac{\cosh \left(2 b c x +2 a c \right)}{2}}\, \left(\sinh^{4}\left(c \left(b x +a \right)\right)\right)-3 \cosh \left(c \left(b x +a \right)\right) \sqrt{-\frac{1}{2}+\frac{\cosh \left(2 b c x +2 a c \right)}{2}}\, \sinh \left(c \left(b x +a \right)\right)+3 \ln \left(\cosh \left(c \left(b x +a \right)\right)+\sqrt{-\frac{1}{2}+\frac{\cosh \left(2 b c x +2 a c \right)}{2}}\right) \sinh \left(c \left(b x +a \right)\right)-2 \sqrt{-\frac{1}{2}+\frac{\cosh \left(2 b c x +2 a c \right)}{2}}}{8 \sinh \left(c \left(b x +a \right)\right) c b}"," ",0,"1/8*(2*(sinh(c*(b*x+a))^2)^(1/2)*cosh(c*(b*x+a))*sinh(c*(b*x+a))^3+2*(sinh(c*(b*x+a))^2)^(1/2)*sinh(c*(b*x+a))^4-3*cosh(c*(b*x+a))*(sinh(c*(b*x+a))^2)^(1/2)*sinh(c*(b*x+a))+3*ln(cosh(c*(b*x+a))+(sinh(c*(b*x+a))^2)^(1/2))*sinh(c*(b*x+a))-2*(sinh(c*(b*x+a))^2)^(1/2))/sinh(c*(b*x+a))/c/b","A"
331,1,100,65,0.200000," ","int(exp(c*(b*x+a))*(sinh(b*c*x+a*c)^2)^(1/2),x)","\frac{\cosh \left(c \left(b x +a \right)\right) \sqrt{-\frac{1}{2}+\frac{\cosh \left(2 b c x +2 a c \right)}{2}}}{2 c b}-\frac{\ln \left(\cosh \left(c \left(b x +a \right)\right)+\sqrt{-\frac{1}{2}+\frac{\cosh \left(2 b c x +2 a c \right)}{2}}\right)}{2 c b}+\frac{\sqrt{-\frac{1}{2}+\frac{\cosh \left(2 b c x +2 a c \right)}{2}}\, \left(\cosh^{2}\left(c \left(b x +a \right)\right)\right)}{2 c b \sinh \left(c \left(b x +a \right)\right)}"," ",0,"1/2/c/b*cosh(c*(b*x+a))*(sinh(c*(b*x+a))^2)^(1/2)-1/2/c/b*ln(cosh(c*(b*x+a))+(sinh(c*(b*x+a))^2)^(1/2))+1/2/c/b*(sinh(c*(b*x+a))^2)^(1/2)*cosh(c*(b*x+a))^2/sinh(c*(b*x+a))","A"
332,-2,0,43,180.000000," ","int(exp(c*(b*x+a))/(sinh(b*c*x+a*c)^2)^(1/2),x)","\int \frac{2 \,{\mathrm e}^{c \left(b x +a \right)}}{\sqrt{-2+2 \cosh \left(2 b c x +2 a c \right)}}\, dx"," ",0,"int(exp(c*(b*x+a))/(sinh(b*c*x+a*c)^2)^(1/2),x)","F"
333,-2,0,54,180.000000," ","int(exp(c*(b*x+a))/(sinh(b*c*x+a*c)^2)^(3/2),x)","\int \frac{8 \,{\mathrm e}^{c \left(b x +a \right)}}{\left(-2+2 \cosh \left(2 b c x +2 a c \right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int(exp(c*(b*x+a))/(sinh(b*c*x+a*c)^2)^(3/2),x)","F"
334,-2,0,136,180.000000," ","int(exp(c*(b*x+a))/(sinh(b*c*x+a*c)^2)^(5/2),x)","\int \frac{32 \,{\mathrm e}^{c \left(b x +a \right)}}{\left(-2+2 \cosh \left(2 b c x +2 a c \right)\right)^{\frac{5}{2}}}\, dx"," ",0,"int(exp(c*(b*x+a))/(sinh(b*c*x+a*c)^2)^(5/2),x)","F"
335,-2,0,181,180.000000," ","int(exp(c*(b*x+a))/(sinh(b*c*x+a*c)^2)^(7/2),x)","\int \frac{128 \,{\mathrm e}^{c \left(b x +a \right)}}{\left(-2+2 \cosh \left(2 b c x +2 a c \right)\right)^{\frac{7}{2}}}\, dx"," ",0,"int(exp(c*(b*x+a))/(sinh(b*c*x+a*c)^2)^(7/2),x)","F"
336,1,62,39,0.038000," ","int(exp(x)*sinh(b*x+a),x)","-\frac{\sinh \left(\left(b -1\right) x +a \right)}{2 \left(b -1\right)}+\frac{\sinh \left(\left(1+b \right) x +a \right)}{2+2 b}+\frac{\cosh \left(\left(b -1\right) x +a \right)}{2 b -2}+\frac{\cosh \left(\left(1+b \right) x +a \right)}{2+2 b}"," ",0,"-1/2/(b-1)*sinh((b-1)*x+a)+1/2/(1+b)*sinh((1+b)*x+a)+1/2*cosh((b-1)*x+a)/(b-1)+1/2*cosh((1+b)*x+a)/(1+b)","A"
337,1,72,59,0.147000," ","int(exp(x)*sinh(c*x^2+a),x)","-\frac{\sqrt{\pi}\, {\mathrm e}^{-\frac{4 a c -1}{4 c}} \erf \left(\sqrt{c}\, x -\frac{1}{2 \sqrt{c}}\right)}{4 \sqrt{c}}+\frac{\sqrt{\pi}\, {\mathrm e}^{\frac{4 a c -1}{4 c}} \erf \left(\sqrt{-c}\, x -\frac{1}{2 \sqrt{-c}}\right)}{4 \sqrt{-c}}"," ",0,"-1/4*Pi^(1/2)*exp(-1/4*(4*a*c-1)/c)/c^(1/2)*erf(c^(1/2)*x-1/2/c^(1/2))+1/4*Pi^(1/2)*exp(1/4*(4*a*c-1)/c)/(-c)^(1/2)*erf((-c)^(1/2)*x-1/2/(-c)^(1/2))","A"
338,1,97,75,0.227000," ","int(exp(x)*sinh(c*x^2+b*x+a),x)","-\frac{\sqrt{\pi}\, {\mathrm e}^{-\frac{4 a c -b^{2}+2 b -1}{4 c}} \erf \left(\sqrt{c}\, x -\frac{1-b}{2 \sqrt{c}}\right)}{4 \sqrt{c}}-\frac{\sqrt{\pi}\, {\mathrm e}^{\frac{4 a c -b^{2}-2 b -1}{4 c}} \erf \left(-\sqrt{-c}\, x +\frac{1+b}{2 \sqrt{-c}}\right)}{4 \sqrt{-c}}"," ",0,"-1/4*Pi^(1/2)*exp(-1/4*(4*a*c-b^2+2*b-1)/c)/c^(1/2)*erf(c^(1/2)*x-1/2*(1-b)/c^(1/2))-1/4*Pi^(1/2)*exp(1/4*(4*a*c-b^2-2*b-1)/c)/(-c)^(1/2)*erf(-(-c)^(1/2)*x+1/2*(1+b)/(-c)^(1/2))","A"
339,1,52,43,0.121000," ","int(exp(x^2)*sinh(b*x+a),x)","-\frac{i \sqrt{\pi}\, {\mathrm e}^{-a -\frac{b^{2}}{4}} \erf \left(-i x +\frac{1}{2} i b \right)}{4}-\frac{i \sqrt{\pi}\, {\mathrm e}^{a -\frac{b^{2}}{4}} \erf \left(i x +\frac{1}{2} i b \right)}{4}"," ",0,"-1/4*I*Pi^(1/2)*exp(-a-1/4*b^2)*erf(-I*x+1/2*I*b)-1/4*I*Pi^(1/2)*exp(a-1/4*b^2)*erf(I*x+1/2*I*b)","C"
340,1,48,47,0.352000," ","int(exp(x^2)*sinh(c*x^2+a),x)","-\frac{\sqrt{\pi}\, {\mathrm e}^{-a} \erf \left(\sqrt{c -1}\, x \right)}{4 \sqrt{c -1}}+\frac{\sqrt{\pi}\, {\mathrm e}^{a} \erf \left(\sqrt{-1-c}\, x \right)}{4 \sqrt{-1-c}}"," ",0,"-1/4*Pi^(1/2)*exp(-a)/(c-1)^(1/2)*erf((c-1)^(1/2)*x)+1/4*Pi^(1/2)*exp(a)/(-1-c)^(1/2)*erf((-1-c)^(1/2)*x)","A"
341,1,105,89,0.392000," ","int(exp(x^2)*sinh(c*x^2+b*x+a),x)","-\frac{\sqrt{\pi}\, {\mathrm e}^{-\frac{4 a c -b^{2}-4 a}{4 \left(c -1\right)}} \erf \left(\sqrt{c -1}\, x +\frac{b}{2 \sqrt{c -1}}\right)}{4 \sqrt{c -1}}-\frac{\sqrt{\pi}\, {\mathrm e}^{\frac{4 a c -b^{2}+4 a}{4+4 c}} \erf \left(-\sqrt{-1-c}\, x +\frac{b}{2 \sqrt{-1-c}}\right)}{4 \sqrt{-1-c}}"," ",0,"-1/4*Pi^(1/2)*exp(-1/4*(4*a*c-b^2-4*a)/(c-1))/(c-1)^(1/2)*erf((c-1)^(1/2)*x+1/2*b/(c-1)^(1/2))-1/4*Pi^(1/2)*exp(1/4*(4*a*c-b^2+4*a)/(1+c))/(-1-c)^(1/2)*erf(-(-1-c)^(1/2)*x+1/2*b/(-1-c)^(1/2))","A"
342,1,100,84,0.154000," ","int(f^(b*x+a)*sinh(f*x^2+d),x)","-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}-4 d f}{4 f}} \erf \left(-\sqrt{-f}\, x +\frac{\ln \left(f \right) b}{2 \sqrt{-f}}\right)}{4 \sqrt{-f}}+\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{\frac{\ln \left(f \right)^{2} b^{2}-4 d f}{4 f}} \erf \left(-\sqrt{f}\, x +\frac{\ln \left(f \right) b}{2 \sqrt{f}}\right)}{4 \sqrt{f}}"," ",0,"-1/4*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2-4*d*f)/f)/(-f)^(1/2)*erf(-(-f)^(1/2)*x+1/2*ln(f)*b/(-f)^(1/2))+1/4*Pi^(1/2)*f^a*exp(1/4*(ln(f)^2*b^2-4*d*f)/f)/f^(1/2)*erf(-f^(1/2)*x+1/2*ln(f)*b/f^(1/2))","A"
343,1,126,114,0.220000," ","int(f^(b*x+a)*sinh(f*x^2+d)^2,x)","-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{\frac{\ln \left(f \right)^{2} b^{2}-16 d f}{8 f}} \sqrt{2}\, \erf \left(-\sqrt{2}\, \sqrt{f}\, x +\frac{\ln \left(f \right) b \sqrt{2}}{4 \sqrt{f}}\right)}{16 \sqrt{f}}-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}-16 d f}{8 f}} \erf \left(-\sqrt{-2 f}\, x +\frac{\ln \left(f \right) b}{2 \sqrt{-2 f}}\right)}{8 \sqrt{-2 f}}-\frac{f^{a} f^{b x}}{2 \ln \left(f \right) b}"," ",0,"-1/16*Pi^(1/2)*f^a*exp(1/8*(ln(f)^2*b^2-16*d*f)/f)*2^(1/2)/f^(1/2)*erf(-2^(1/2)*f^(1/2)*x+1/4*ln(f)*b*2^(1/2)/f^(1/2))-1/8*Pi^(1/2)*f^a*exp(-1/8*(ln(f)^2*b^2-16*d*f)/f)/(-2*f)^(1/2)*erf(-(-2*f)^(1/2)*x+1/2*ln(f)*b/(-2*f)^(1/2))-1/2*f^a/ln(f)/b*f^(b*x)","A"
344,1,207,181,0.274000," ","int(f^(b*x+a)*sinh(f*x^2+d)^3,x)","-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}-36 d f}{12 f}} \erf \left(-\sqrt{-3 f}\, x +\frac{\ln \left(f \right) b}{2 \sqrt{-3 f}}\right)}{16 \sqrt{-3 f}}+\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{\frac{\ln \left(f \right)^{2} b^{2}-36 d f}{12 f}} \sqrt{3}\, \erf \left(-\sqrt{3}\, \sqrt{f}\, x +\frac{\ln \left(f \right) b \sqrt{3}}{6 \sqrt{f}}\right)}{48 \sqrt{f}}-\frac{3 \sqrt{\pi}\, f^{a} {\mathrm e}^{\frac{\ln \left(f \right)^{2} b^{2}-4 d f}{4 f}} \erf \left(-\sqrt{f}\, x +\frac{\ln \left(f \right) b}{2 \sqrt{f}}\right)}{16 \sqrt{f}}+\frac{3 \sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}-4 d f}{4 f}} \erf \left(-\sqrt{-f}\, x +\frac{\ln \left(f \right) b}{2 \sqrt{-f}}\right)}{16 \sqrt{-f}}"," ",0,"-1/16*Pi^(1/2)*f^a*exp(-1/12*(ln(f)^2*b^2-36*d*f)/f)/(-3*f)^(1/2)*erf(-(-3*f)^(1/2)*x+1/2*ln(f)*b/(-3*f)^(1/2))+1/48*Pi^(1/2)*f^a*exp(1/12*(ln(f)^2*b^2-36*d*f)/f)*3^(1/2)/f^(1/2)*erf(-3^(1/2)*f^(1/2)*x+1/6*ln(f)*b*3^(1/2)/f^(1/2))-3/16*Pi^(1/2)*f^a*exp(1/4*(ln(f)^2*b^2-4*d*f)/f)/f^(1/2)*erf(-f^(1/2)*x+1/2*ln(f)*b/f^(1/2))+3/16*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2-4*d*f)/f)/(-f)^(1/2)*erf(-(-f)^(1/2)*x+1/2*ln(f)*b/(-f)^(1/2))","A"
345,1,126,89,0.132000," ","int(f^(b*x+a)*sinh(f*x^2+e*x+d),x)","-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}+2 \ln \left(f \right) b e -4 d f +e^{2}}{4 f}} \erf \left(-\sqrt{-f}\, x +\frac{e +b \ln \left(f \right)}{2 \sqrt{-f}}\right)}{4 \sqrt{-f}}+\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{\frac{\ln \left(f \right)^{2} b^{2}-2 \ln \left(f \right) b e -4 d f +e^{2}}{4 f}} \erf \left(-\sqrt{f}\, x +\frac{b \ln \left(f \right)-e}{2 \sqrt{f}}\right)}{4 \sqrt{f}}"," ",0,"-1/4*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2+2*ln(f)*b*e-4*d*f+e^2)/f)/(-f)^(1/2)*erf(-(-f)^(1/2)*x+1/2*(e+b*ln(f))/(-f)^(1/2))+1/4*Pi^(1/2)*f^a*exp(1/4*(ln(f)^2*b^2-2*ln(f)*b*e-4*d*f+e^2)/f)/f^(1/2)*erf(-f^(1/2)*x+1/2*(b*ln(f)-e)/f^(1/2))","A"
346,1,158,127,0.213000," ","int(f^(b*x+a)*sinh(f*x^2+e*x+d)^2,x)","-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{\frac{\ln \left(f \right)^{2} b^{2}-4 \ln \left(f \right) b e -16 d f +4 e^{2}}{8 f}} \sqrt{2}\, \erf \left(-\sqrt{2}\, \sqrt{f}\, x +\frac{\left(b \ln \left(f \right)-2 e \right) \sqrt{2}}{4 \sqrt{f}}\right)}{16 \sqrt{f}}-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}+4 \ln \left(f \right) b e -16 d f +4 e^{2}}{8 f}} \erf \left(-\sqrt{-2 f}\, x +\frac{2 e +b \ln \left(f \right)}{2 \sqrt{-2 f}}\right)}{8 \sqrt{-2 f}}-\frac{f^{a} f^{b x}}{2 \ln \left(f \right) b}"," ",0,"-1/16*Pi^(1/2)*f^a*exp(1/8*(ln(f)^2*b^2-4*ln(f)*b*e-16*d*f+4*e^2)/f)*2^(1/2)/f^(1/2)*erf(-2^(1/2)*f^(1/2)*x+1/4*(b*ln(f)-2*e)*2^(1/2)/f^(1/2))-1/8*Pi^(1/2)*f^a*exp(-1/8*(ln(f)^2*b^2+4*ln(f)*b*e-16*d*f+4*e^2)/f)/(-2*f)^(1/2)*erf(-(-2*f)^(1/2)*x+1/2*(2*e+b*ln(f))/(-2*f)^(1/2))-1/2*f^a/ln(f)/b*f^(b*x)","A"
347,1,265,199,0.257000," ","int(f^(b*x+a)*sinh(f*x^2+e*x+d)^3,x)","-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}+6 \ln \left(f \right) b e -36 d f +9 e^{2}}{12 f}} \erf \left(-\sqrt{-3 f}\, x +\frac{3 e +b \ln \left(f \right)}{2 \sqrt{-3 f}}\right)}{16 \sqrt{-3 f}}+\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{\frac{\ln \left(f \right)^{2} b^{2}-6 \ln \left(f \right) b e -36 d f +9 e^{2}}{12 f}} \sqrt{3}\, \erf \left(-\sqrt{3}\, \sqrt{f}\, x +\frac{\left(b \ln \left(f \right)-3 e \right) \sqrt{3}}{6 \sqrt{f}}\right)}{48 \sqrt{f}}-\frac{3 \sqrt{\pi}\, f^{a} {\mathrm e}^{\frac{\ln \left(f \right)^{2} b^{2}-2 \ln \left(f \right) b e -4 d f +e^{2}}{4 f}} \erf \left(-\sqrt{f}\, x +\frac{b \ln \left(f \right)-e}{2 \sqrt{f}}\right)}{16 \sqrt{f}}+\frac{3 \sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}+2 \ln \left(f \right) b e -4 d f +e^{2}}{4 f}} \erf \left(-\sqrt{-f}\, x +\frac{e +b \ln \left(f \right)}{2 \sqrt{-f}}\right)}{16 \sqrt{-f}}"," ",0,"-1/16*Pi^(1/2)*f^a*exp(-1/12*(ln(f)^2*b^2+6*ln(f)*b*e-36*d*f+9*e^2)/f)/(-3*f)^(1/2)*erf(-(-3*f)^(1/2)*x+1/2*(3*e+b*ln(f))/(-3*f)^(1/2))+1/48*Pi^(1/2)*f^a*exp(1/12*(ln(f)^2*b^2-6*ln(f)*b*e-36*d*f+9*e^2)/f)*3^(1/2)/f^(1/2)*erf(-3^(1/2)*f^(1/2)*x+1/6*(b*ln(f)-3*e)*3^(1/2)/f^(1/2))-3/16*Pi^(1/2)*f^a*exp(1/4*(ln(f)^2*b^2-2*ln(f)*b*e-4*d*f+e^2)/f)/f^(1/2)*erf(-f^(1/2)*x+1/2*(b*ln(f)-e)/f^(1/2))+3/16*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2+2*ln(f)*b*e-4*d*f+e^2)/f)/(-f)^(1/2)*erf(-(-f)^(1/2)*x+1/2*(e+b*ln(f))/(-f)^(1/2))","A"
348,1,117,101,0.136000," ","int(f^(c*x^2+a)*sinh(e*x+d),x)","-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{\frac{4 d \ln \left(f \right) c -e^{2}}{4 \ln \left(f \right) c}} \erf \left(-\sqrt{-c \ln \left(f \right)}\, x +\frac{e}{2 \sqrt{-c \ln \left(f \right)}}\right)}{4 \sqrt{-c \ln \left(f \right)}}-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{4 d \ln \left(f \right) c +e^{2}}{4 \ln \left(f \right) c}} \erf \left(\sqrt{-c \ln \left(f \right)}\, x +\frac{e}{2 \sqrt{-c \ln \left(f \right)}}\right)}{4 \sqrt{-c \ln \left(f \right)}}"," ",0,"-1/4*Pi^(1/2)*f^a*exp(1/4*(4*d*ln(f)*c-e^2)/ln(f)/c)/(-c*ln(f))^(1/2)*erf(-(-c*ln(f))^(1/2)*x+1/2*e/(-c*ln(f))^(1/2))-1/4*Pi^(1/2)*f^a*exp(-1/4*(4*d*ln(f)*c+e^2)/ln(f)/c)/(-c*ln(f))^(1/2)*erf((-c*ln(f))^(1/2)*x+1/2*e/(-c*ln(f))^(1/2))","A"
349,1,139,124,0.168000," ","int(f^(c*x^2+a)*sinh(e*x+d)^2,x)","\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{2 d \ln \left(f \right) c +e^{2}}{\ln \left(f \right) c}} \erf \left(\sqrt{-c \ln \left(f \right)}\, x +\frac{e}{\sqrt{-c \ln \left(f \right)}}\right)}{8 \sqrt{-c \ln \left(f \right)}}-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{\frac{2 d \ln \left(f \right) c -e^{2}}{\ln \left(f \right) c}} \erf \left(-\sqrt{-c \ln \left(f \right)}\, x +\frac{e}{\sqrt{-c \ln \left(f \right)}}\right)}{8 \sqrt{-c \ln \left(f \right)}}-\frac{f^{a} \sqrt{\pi}\, \erf \left(\sqrt{-c \ln \left(f \right)}\, x \right)}{4 \sqrt{-c \ln \left(f \right)}}"," ",0,"1/8*Pi^(1/2)*f^a*exp(-(2*d*ln(f)*c+e^2)/ln(f)/c)/(-c*ln(f))^(1/2)*erf((-c*ln(f))^(1/2)*x+e/(-c*ln(f))^(1/2))-1/8*Pi^(1/2)*f^a*exp((2*d*ln(f)*c-e^2)/ln(f)/c)/(-c*ln(f))^(1/2)*erf(-(-c*ln(f))^(1/2)*x+e/(-c*ln(f))^(1/2))-1/4*f^a*Pi^(1/2)/(-c*ln(f))^(1/2)*erf((-c*ln(f))^(1/2)*x)","A"
350,1,234,205,0.207000," ","int(f^(c*x^2+a)*sinh(e*x+d)^3,x)","-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{\frac{3 d \ln \left(f \right) c -\frac{9 e^{2}}{4}}{c \ln \left(f \right)}} \erf \left(-\sqrt{-c \ln \left(f \right)}\, x +\frac{3 e}{2 \sqrt{-c \ln \left(f \right)}}\right)}{16 \sqrt{-c \ln \left(f \right)}}-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{3 \left(4 d \ln \left(f \right) c +3 e^{2}\right)}{4 \ln \left(f \right) c}} \erf \left(\sqrt{-c \ln \left(f \right)}\, x +\frac{3 e}{2 \sqrt{-c \ln \left(f \right)}}\right)}{16 \sqrt{-c \ln \left(f \right)}}+\frac{3 \sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{4 d \ln \left(f \right) c +e^{2}}{4 \ln \left(f \right) c}} \erf \left(\sqrt{-c \ln \left(f \right)}\, x +\frac{e}{2 \sqrt{-c \ln \left(f \right)}}\right)}{16 \sqrt{-c \ln \left(f \right)}}+\frac{3 \sqrt{\pi}\, f^{a} {\mathrm e}^{\frac{4 d \ln \left(f \right) c -e^{2}}{4 \ln \left(f \right) c}} \erf \left(-\sqrt{-c \ln \left(f \right)}\, x +\frac{e}{2 \sqrt{-c \ln \left(f \right)}}\right)}{16 \sqrt{-c \ln \left(f \right)}}"," ",0,"-1/16*Pi^(1/2)*f^a*exp(3/4*(4*d*ln(f)*c-3*e^2)/ln(f)/c)/(-c*ln(f))^(1/2)*erf(-(-c*ln(f))^(1/2)*x+3/2*e/(-c*ln(f))^(1/2))-1/16*Pi^(1/2)*f^a*exp(-3/4*(4*d*ln(f)*c+3*e^2)/ln(f)/c)/(-c*ln(f))^(1/2)*erf((-c*ln(f))^(1/2)*x+3/2*e/(-c*ln(f))^(1/2))+3/16*Pi^(1/2)*f^a*exp(-1/4*(4*d*ln(f)*c+e^2)/ln(f)/c)/(-c*ln(f))^(1/2)*erf((-c*ln(f))^(1/2)*x+1/2*e/(-c*ln(f))^(1/2))+3/16*Pi^(1/2)*f^a*exp(1/4*(4*d*ln(f)*c-e^2)/ln(f)/c)/(-c*ln(f))^(1/2)*erf(-(-c*ln(f))^(1/2)*x+1/2*e/(-c*ln(f))^(1/2))","A"
351,1,70,63,0.117000," ","int(f^(c*x^2+a)*sinh(f*x^2+d),x)","\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{d} \erf \left(\sqrt{-c \ln \left(f \right)-f}\, x \right)}{4 \sqrt{-c \ln \left(f \right)-f}}-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-d} \erf \left(x \sqrt{f -c \ln \left(f \right)}\right)}{4 \sqrt{f -c \ln \left(f \right)}}"," ",0,"1/4*Pi^(1/2)*f^a*exp(d)/(-c*ln(f)-f)^(1/2)*erf((-c*ln(f)-f)^(1/2)*x)-1/4*Pi^(1/2)*f^a*exp(-d)/(f-c*ln(f))^(1/2)*erf(x*(f-c*ln(f))^(1/2))","A"
352,1,101,100,0.153000," ","int(f^(c*x^2+a)*sinh(f*x^2+d)^2,x)","\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-2 d} \erf \left(x \sqrt{2 f -c \ln \left(f \right)}\right)}{8 \sqrt{2 f -c \ln \left(f \right)}}+\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{2 d} \erf \left(\sqrt{-c \ln \left(f \right)-2 f}\, x \right)}{8 \sqrt{-c \ln \left(f \right)-2 f}}-\frac{f^{a} \sqrt{\pi}\, \erf \left(\sqrt{-c \ln \left(f \right)}\, x \right)}{4 \sqrt{-c \ln \left(f \right)}}"," ",0,"1/8*Pi^(1/2)*f^a*exp(-2*d)/(2*f-c*ln(f))^(1/2)*erf(x*(2*f-c*ln(f))^(1/2))+1/8*Pi^(1/2)*f^a*exp(2*d)/(-c*ln(f)-2*f)^(1/2)*erf((-c*ln(f)-2*f)^(1/2)*x)-1/4*f^a*Pi^(1/2)/(-c*ln(f))^(1/2)*erf((-c*ln(f))^(1/2)*x)","A"
353,1,144,137,0.213000," ","int(f^(c*x^2+a)*sinh(f*x^2+d)^3,x)","\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{3 d} \erf \left(\sqrt{-c \ln \left(f \right)-3 f}\, x \right)}{16 \sqrt{-c \ln \left(f \right)-3 f}}-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-3 d} \erf \left(x \sqrt{3 f -c \ln \left(f \right)}\right)}{16 \sqrt{3 f -c \ln \left(f \right)}}+\frac{3 \sqrt{\pi}\, f^{a} {\mathrm e}^{-d} \erf \left(x \sqrt{f -c \ln \left(f \right)}\right)}{16 \sqrt{f -c \ln \left(f \right)}}-\frac{3 \sqrt{\pi}\, f^{a} {\mathrm e}^{d} \erf \left(\sqrt{-c \ln \left(f \right)-f}\, x \right)}{16 \sqrt{-c \ln \left(f \right)-f}}"," ",0,"1/16*Pi^(1/2)*f^a*exp(3*d)/(-c*ln(f)-3*f)^(1/2)*erf((-c*ln(f)-3*f)^(1/2)*x)-1/16*Pi^(1/2)*f^a*exp(-3*d)/(3*f-c*ln(f))^(1/2)*erf(x*(3*f-c*ln(f))^(1/2))+3/16*Pi^(1/2)*f^a*exp(-d)/(f-c*ln(f))^(1/2)*erf(x*(f-c*ln(f))^(1/2))-3/16*Pi^(1/2)*f^a*exp(d)/(-c*ln(f)-f)^(1/2)*erf((-c*ln(f)-f)^(1/2)*x)","A"
354,1,147,116,0.156000," ","int(f^(c*x^2+a)*sinh(f*x^2+e*x+d),x)","-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{\frac{4 d \ln \left(f \right) c +4 d f -e^{2}}{4 c \ln \left(f \right)+4 f}} \erf \left(-\sqrt{-c \ln \left(f \right)-f}\, x +\frac{e}{2 \sqrt{-c \ln \left(f \right)-f}}\right)}{4 \sqrt{-c \ln \left(f \right)-f}}-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{4 d \ln \left(f \right) c -4 d f +e^{2}}{4 \left(-f +c \ln \left(f \right)\right)}} \erf \left(x \sqrt{f -c \ln \left(f \right)}+\frac{e}{2 \sqrt{f -c \ln \left(f \right)}}\right)}{4 \sqrt{f -c \ln \left(f \right)}}"," ",0,"-1/4*Pi^(1/2)*f^a*exp(1/4*(4*d*ln(f)*c+4*d*f-e^2)/(f+c*ln(f)))/(-c*ln(f)-f)^(1/2)*erf(-(-c*ln(f)-f)^(1/2)*x+1/2*e/(-c*ln(f)-f)^(1/2))-1/4*Pi^(1/2)*f^a*exp(-1/4*(4*d*ln(f)*c-4*d*f+e^2)/(-f+c*ln(f)))/(f-c*ln(f))^(1/2)*erf(x*(f-c*ln(f))^(1/2)+1/2*e/(f-c*ln(f))^(1/2))","A"
355,1,177,153,0.181000," ","int(f^(c*x^2+a)*sinh(f*x^2+e*x+d)^2,x)","\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{2 d \ln \left(f \right) c -4 d f +e^{2}}{-2 f +c \ln \left(f \right)}} \erf \left(x \sqrt{2 f -c \ln \left(f \right)}+\frac{e}{\sqrt{2 f -c \ln \left(f \right)}}\right)}{8 \sqrt{2 f -c \ln \left(f \right)}}-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{\frac{2 d \ln \left(f \right) c +4 d f -e^{2}}{2 f +c \ln \left(f \right)}} \erf \left(-\sqrt{-c \ln \left(f \right)-2 f}\, x +\frac{e}{\sqrt{-c \ln \left(f \right)-2 f}}\right)}{8 \sqrt{-c \ln \left(f \right)-2 f}}-\frac{f^{a} \sqrt{\pi}\, \erf \left(\sqrt{-c \ln \left(f \right)}\, x \right)}{4 \sqrt{-c \ln \left(f \right)}}"," ",0,"1/8*Pi^(1/2)*f^a*exp(-(2*d*ln(f)*c-4*d*f+e^2)/(-2*f+c*ln(f)))/(2*f-c*ln(f))^(1/2)*erf(x*(2*f-c*ln(f))^(1/2)+e/(2*f-c*ln(f))^(1/2))-1/8*Pi^(1/2)*f^a*exp((2*d*ln(f)*c+4*d*f-e^2)/(2*f+c*ln(f)))/(-c*ln(f)-2*f)^(1/2)*erf(-(-c*ln(f)-2*f)^(1/2)*x+e/(-c*ln(f)-2*f)^(1/2))-1/4*f^a*Pi^(1/2)/(-c*ln(f))^(1/2)*erf((-c*ln(f))^(1/2)*x)","A"
356,1,302,252,0.276000," ","int(f^(c*x^2+a)*sinh(f*x^2+e*x+d)^3,x)","-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{\frac{3 d \ln \left(f \right) c +9 d f -\frac{9 e^{2}}{4}}{3 f +c \ln \left(f \right)}} \erf \left(-\sqrt{-c \ln \left(f \right)-3 f}\, x +\frac{3 e}{2 \sqrt{-c \ln \left(f \right)-3 f}}\right)}{16 \sqrt{-c \ln \left(f \right)-3 f}}-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{3 \left(4 d \ln \left(f \right) c -12 d f +3 e^{2}\right)}{4 \left(-3 f +c \ln \left(f \right)\right)}} \erf \left(x \sqrt{3 f -c \ln \left(f \right)}+\frac{3 e}{2 \sqrt{3 f -c \ln \left(f \right)}}\right)}{16 \sqrt{3 f -c \ln \left(f \right)}}+\frac{3 \sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{4 d \ln \left(f \right) c -4 d f +e^{2}}{4 \left(-f +c \ln \left(f \right)\right)}} \erf \left(x \sqrt{f -c \ln \left(f \right)}+\frac{e}{2 \sqrt{f -c \ln \left(f \right)}}\right)}{16 \sqrt{f -c \ln \left(f \right)}}+\frac{3 \sqrt{\pi}\, f^{a} {\mathrm e}^{\frac{4 d \ln \left(f \right) c +4 d f -e^{2}}{4 c \ln \left(f \right)+4 f}} \erf \left(-\sqrt{-c \ln \left(f \right)-f}\, x +\frac{e}{2 \sqrt{-c \ln \left(f \right)-f}}\right)}{16 \sqrt{-c \ln \left(f \right)-f}}"," ",0,"-1/16*Pi^(1/2)*f^a*exp(3/4*(4*d*ln(f)*c+12*d*f-3*e^2)/(3*f+c*ln(f)))/(-c*ln(f)-3*f)^(1/2)*erf(-(-c*ln(f)-3*f)^(1/2)*x+3/2*e/(-c*ln(f)-3*f)^(1/2))-1/16*Pi^(1/2)*f^a*exp(-3/4*(4*d*ln(f)*c-12*d*f+3*e^2)/(-3*f+c*ln(f)))/(3*f-c*ln(f))^(1/2)*erf(x*(3*f-c*ln(f))^(1/2)+3/2*e/(3*f-c*ln(f))^(1/2))+3/16*Pi^(1/2)*f^a*exp(-1/4*(4*d*ln(f)*c-4*d*f+e^2)/(-f+c*ln(f)))/(f-c*ln(f))^(1/2)*erf(x*(f-c*ln(f))^(1/2)+1/2*e/(f-c*ln(f))^(1/2))+3/16*Pi^(1/2)*f^a*exp(1/4*(4*d*ln(f)*c+4*d*f-e^2)/(f+c*ln(f)))/(-c*ln(f)-f)^(1/2)*erf(-(-c*ln(f)-f)^(1/2)*x+1/2*e/(-c*ln(f)-f)^(1/2))","A"
357,1,156,120,0.145000," ","int(f^(c*x^2+b*x+a)*sinh(e*x+d),x)","-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}+2 \ln \left(f \right) b e -4 d \ln \left(f \right) c +e^{2}}{4 \ln \left(f \right) c}} \erf \left(-\sqrt{-c \ln \left(f \right)}\, x +\frac{e +b \ln \left(f \right)}{2 \sqrt{-c \ln \left(f \right)}}\right)}{4 \sqrt{-c \ln \left(f \right)}}+\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}-2 \ln \left(f \right) b e +4 d \ln \left(f \right) c +e^{2}}{4 \ln \left(f \right) c}} \erf \left(-\sqrt{-c \ln \left(f \right)}\, x +\frac{b \ln \left(f \right)-e}{2 \sqrt{-c \ln \left(f \right)}}\right)}{4 \sqrt{-c \ln \left(f \right)}}"," ",0,"-1/4*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2+2*ln(f)*b*e-4*d*ln(f)*c+e^2)/ln(f)/c)/(-c*ln(f))^(1/2)*erf(-(-c*ln(f))^(1/2)*x+1/2*(e+b*ln(f))/(-c*ln(f))^(1/2))+1/4*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2-2*ln(f)*b*e+4*d*ln(f)*c+e^2)/ln(f)/c)/(-c*ln(f))^(1/2)*erf(-(-c*ln(f))^(1/2)*x+1/2*(b*ln(f)-e)/(-c*ln(f))^(1/2))","A"
358,1,211,168,0.218000," ","int(f^(c*x^2+b*x+a)*sinh(e*x+d)^2,x)","-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}-4 \ln \left(f \right) b e +8 d \ln \left(f \right) c +4 e^{2}}{4 \ln \left(f \right) c}} \erf \left(-\sqrt{-c \ln \left(f \right)}\, x +\frac{b \ln \left(f \right)-2 e}{2 \sqrt{-c \ln \left(f \right)}}\right)}{8 \sqrt{-c \ln \left(f \right)}}-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}+4 \ln \left(f \right) b e -8 d \ln \left(f \right) c +4 e^{2}}{4 \ln \left(f \right) c}} \erf \left(-\sqrt{-c \ln \left(f \right)}\, x +\frac{2 e +b \ln \left(f \right)}{2 \sqrt{-c \ln \left(f \right)}}\right)}{8 \sqrt{-c \ln \left(f \right)}}+\frac{\sqrt{\pi}\, f^{a} f^{-\frac{b^{2}}{4 c}} \erf \left(-\sqrt{-c \ln \left(f \right)}\, x +\frac{b \ln \left(f \right)}{2 \sqrt{-c \ln \left(f \right)}}\right)}{4 \sqrt{-c \ln \left(f \right)}}"," ",0,"-1/8*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2-4*ln(f)*b*e+8*d*ln(f)*c+4*e^2)/ln(f)/c)/(-c*ln(f))^(1/2)*erf(-(-c*ln(f))^(1/2)*x+1/2*(b*ln(f)-2*e)/(-c*ln(f))^(1/2))-1/8*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2+4*ln(f)*b*e-8*d*ln(f)*c+4*e^2)/ln(f)/c)/(-c*ln(f))^(1/2)*erf(-(-c*ln(f))^(1/2)*x+1/2*(2*e+b*ln(f))/(-c*ln(f))^(1/2))+1/4*Pi^(1/2)*f^a*f^(-1/4*b^2/c)/(-c*ln(f))^(1/2)*erf(-(-c*ln(f))^(1/2)*x+1/2*b*ln(f)/(-c*ln(f))^(1/2))","A"
359,1,316,247,0.240000," ","int(f^(c*x^2+b*x+a)*sinh(e*x+d)^3,x)","-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}+6 \ln \left(f \right) b e -12 d \ln \left(f \right) c +9 e^{2}}{4 \ln \left(f \right) c}} \erf \left(-\sqrt{-c \ln \left(f \right)}\, x +\frac{3 e +b \ln \left(f \right)}{2 \sqrt{-c \ln \left(f \right)}}\right)}{16 \sqrt{-c \ln \left(f \right)}}+\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}-6 \ln \left(f \right) b e +12 d \ln \left(f \right) c +9 e^{2}}{4 \ln \left(f \right) c}} \erf \left(-\sqrt{-c \ln \left(f \right)}\, x +\frac{b \ln \left(f \right)-3 e}{2 \sqrt{-c \ln \left(f \right)}}\right)}{16 \sqrt{-c \ln \left(f \right)}}-\frac{3 \sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}-2 \ln \left(f \right) b e +4 d \ln \left(f \right) c +e^{2}}{4 \ln \left(f \right) c}} \erf \left(-\sqrt{-c \ln \left(f \right)}\, x +\frac{b \ln \left(f \right)-e}{2 \sqrt{-c \ln \left(f \right)}}\right)}{16 \sqrt{-c \ln \left(f \right)}}+\frac{3 \sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}+2 \ln \left(f \right) b e -4 d \ln \left(f \right) c +e^{2}}{4 \ln \left(f \right) c}} \erf \left(-\sqrt{-c \ln \left(f \right)}\, x +\frac{e +b \ln \left(f \right)}{2 \sqrt{-c \ln \left(f \right)}}\right)}{16 \sqrt{-c \ln \left(f \right)}}"," ",0,"-1/16*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2+6*ln(f)*b*e-12*d*ln(f)*c+9*e^2)/ln(f)/c)/(-c*ln(f))^(1/2)*erf(-(-c*ln(f))^(1/2)*x+1/2*(3*e+b*ln(f))/(-c*ln(f))^(1/2))+1/16*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2-6*ln(f)*b*e+12*d*ln(f)*c+9*e^2)/ln(f)/c)/(-c*ln(f))^(1/2)*erf(-(-c*ln(f))^(1/2)*x+1/2*(b*ln(f)-3*e)/(-c*ln(f))^(1/2))-3/16*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2-2*ln(f)*b*e+4*d*ln(f)*c+e^2)/ln(f)/c)/(-c*ln(f))^(1/2)*erf(-(-c*ln(f))^(1/2)*x+1/2*(b*ln(f)-e)/(-c*ln(f))^(1/2))+3/16*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2+2*ln(f)*b*e-4*d*ln(f)*c+e^2)/ln(f)/c)/(-c*ln(f))^(1/2)*erf(-(-c*ln(f))^(1/2)*x+1/2*(e+b*ln(f))/(-c*ln(f))^(1/2))","A"
360,1,160,130,0.180000," ","int(f^(c*x^2+b*x+a)*sinh(f*x^2+d),x)","-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}-4 d \ln \left(f \right) c -4 d f}{4 \left(f +c \ln \left(f \right)\right)}} \erf \left(-\sqrt{-c \ln \left(f \right)-f}\, x +\frac{\ln \left(f \right) b}{2 \sqrt{-c \ln \left(f \right)-f}}\right)}{4 \sqrt{-c \ln \left(f \right)-f}}+\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}+4 d \ln \left(f \right) c -4 d f}{4 \left(-f +c \ln \left(f \right)\right)}} \erf \left(-x \sqrt{f -c \ln \left(f \right)}+\frac{\ln \left(f \right) b}{2 \sqrt{f -c \ln \left(f \right)}}\right)}{4 \sqrt{f -c \ln \left(f \right)}}"," ",0,"-1/4*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2-4*d*ln(f)*c-4*d*f)/(f+c*ln(f)))/(-c*ln(f)-f)^(1/2)*erf(-(-c*ln(f)-f)^(1/2)*x+1/2*ln(f)*b/(-c*ln(f)-f)^(1/2))+1/4*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2+4*d*ln(f)*c-4*d*f)/(-f+c*ln(f)))/(f-c*ln(f))^(1/2)*erf(-x*(f-c*ln(f))^(1/2)+1/2*ln(f)*b/(f-c*ln(f))^(1/2))","A"
361,1,217,187,0.220000," ","int(f^(c*x^2+b*x+a)*sinh(f*x^2+d)^2,x)","-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}+8 d \ln \left(f \right) c -16 d f}{4 \left(-2 f +c \ln \left(f \right)\right)}} \erf \left(-x \sqrt{2 f -c \ln \left(f \right)}+\frac{\ln \left(f \right) b}{2 \sqrt{2 f -c \ln \left(f \right)}}\right)}{8 \sqrt{2 f -c \ln \left(f \right)}}-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}-8 d \ln \left(f \right) c -16 d f}{4 \left(2 f +c \ln \left(f \right)\right)}} \erf \left(-\sqrt{-c \ln \left(f \right)-2 f}\, x +\frac{\ln \left(f \right) b}{2 \sqrt{-c \ln \left(f \right)-2 f}}\right)}{8 \sqrt{-c \ln \left(f \right)-2 f}}+\frac{\sqrt{\pi}\, f^{a} f^{-\frac{b^{2}}{4 c}} \erf \left(-\sqrt{-c \ln \left(f \right)}\, x +\frac{b \ln \left(f \right)}{2 \sqrt{-c \ln \left(f \right)}}\right)}{4 \sqrt{-c \ln \left(f \right)}}"," ",0,"-1/8*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2+8*d*ln(f)*c-16*d*f)/(-2*f+c*ln(f)))/(2*f-c*ln(f))^(1/2)*erf(-x*(2*f-c*ln(f))^(1/2)+1/2*ln(f)*b/(2*f-c*ln(f))^(1/2))-1/8*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2-8*d*ln(f)*c-16*d*f)/(2*f+c*ln(f)))/(-c*ln(f)-2*f)^(1/2)*erf(-(-c*ln(f)-2*f)^(1/2)*x+1/2*ln(f)*b/(-c*ln(f)-2*f)^(1/2))+1/4*Pi^(1/2)*f^a*f^(-1/4*b^2/c)/(-c*ln(f))^(1/2)*erf(-(-c*ln(f))^(1/2)*x+1/2*b*ln(f)/(-c*ln(f))^(1/2))","A"
362,1,326,275,0.291000," ","int(f^(c*x^2+b*x+a)*sinh(f*x^2+d)^3,x)","-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}-12 d \ln \left(f \right) c -36 d f}{4 \left(3 f +c \ln \left(f \right)\right)}} \erf \left(-\sqrt{-c \ln \left(f \right)-3 f}\, x +\frac{\ln \left(f \right) b}{2 \sqrt{-c \ln \left(f \right)-3 f}}\right)}{16 \sqrt{-c \ln \left(f \right)-3 f}}+\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}+12 d \ln \left(f \right) c -36 d f}{4 \left(-3 f +c \ln \left(f \right)\right)}} \erf \left(-x \sqrt{3 f -c \ln \left(f \right)}+\frac{\ln \left(f \right) b}{2 \sqrt{3 f -c \ln \left(f \right)}}\right)}{16 \sqrt{3 f -c \ln \left(f \right)}}-\frac{3 \sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}+4 d \ln \left(f \right) c -4 d f}{4 \left(-f +c \ln \left(f \right)\right)}} \erf \left(-x \sqrt{f -c \ln \left(f \right)}+\frac{\ln \left(f \right) b}{2 \sqrt{f -c \ln \left(f \right)}}\right)}{16 \sqrt{f -c \ln \left(f \right)}}+\frac{3 \sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}-4 d \ln \left(f \right) c -4 d f}{4 \left(f +c \ln \left(f \right)\right)}} \erf \left(-\sqrt{-c \ln \left(f \right)-f}\, x +\frac{\ln \left(f \right) b}{2 \sqrt{-c \ln \left(f \right)-f}}\right)}{16 \sqrt{-c \ln \left(f \right)-f}}"," ",0,"-1/16*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2-12*d*ln(f)*c-36*d*f)/(3*f+c*ln(f)))/(-c*ln(f)-3*f)^(1/2)*erf(-(-c*ln(f)-3*f)^(1/2)*x+1/2*ln(f)*b/(-c*ln(f)-3*f)^(1/2))+1/16*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2+12*d*ln(f)*c-36*d*f)/(-3*f+c*ln(f)))/(3*f-c*ln(f))^(1/2)*erf(-x*(3*f-c*ln(f))^(1/2)+1/2*ln(f)*b/(3*f-c*ln(f))^(1/2))-3/16*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2+4*d*ln(f)*c-4*d*f)/(-f+c*ln(f)))/(f-c*ln(f))^(1/2)*erf(-x*(f-c*ln(f))^(1/2)+1/2*ln(f)*b/(f-c*ln(f))^(1/2))+3/16*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2-4*d*ln(f)*c-4*d*f)/(f+c*ln(f)))/(-c*ln(f)-f)^(1/2)*erf(-(-c*ln(f)-f)^(1/2)*x+1/2*ln(f)*b/(-c*ln(f)-f)^(1/2))","A"
363,1,186,135,0.170000," ","int(f^(c*x^2+b*x+a)*sinh(f*x^2+e*x+d),x)","-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}+2 \ln \left(f \right) b e -4 d \ln \left(f \right) c -4 d f +e^{2}}{4 \left(f +c \ln \left(f \right)\right)}} \erf \left(-\sqrt{-c \ln \left(f \right)-f}\, x +\frac{e +b \ln \left(f \right)}{2 \sqrt{-c \ln \left(f \right)-f}}\right)}{4 \sqrt{-c \ln \left(f \right)-f}}+\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}-2 \ln \left(f \right) b e +4 d \ln \left(f \right) c -4 d f +e^{2}}{4 \left(-f +c \ln \left(f \right)\right)}} \erf \left(-x \sqrt{f -c \ln \left(f \right)}+\frac{b \ln \left(f \right)-e}{2 \sqrt{f -c \ln \left(f \right)}}\right)}{4 \sqrt{f -c \ln \left(f \right)}}"," ",0,"-1/4*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2+2*ln(f)*b*e-4*d*ln(f)*c-4*d*f+e^2)/(f+c*ln(f)))/(-c*ln(f)-f)^(1/2)*erf(-(-c*ln(f)-f)^(1/2)*x+1/2*(e+b*ln(f))/(-c*ln(f)-f)^(1/2))+1/4*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2-2*ln(f)*b*e+4*d*ln(f)*c-4*d*f+e^2)/(-f+c*ln(f)))/(f-c*ln(f))^(1/2)*erf(-x*(f-c*ln(f))^(1/2)+1/2*(b*ln(f)-e)/(f-c*ln(f))^(1/2))","A"
364,1,249,201,0.217000," ","int(f^(c*x^2+b*x+a)*sinh(f*x^2+e*x+d)^2,x)","-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}-4 \ln \left(f \right) b e +8 d \ln \left(f \right) c -16 d f +4 e^{2}}{4 \left(-2 f +c \ln \left(f \right)\right)}} \erf \left(-x \sqrt{2 f -c \ln \left(f \right)}+\frac{b \ln \left(f \right)-2 e}{2 \sqrt{2 f -c \ln \left(f \right)}}\right)}{8 \sqrt{2 f -c \ln \left(f \right)}}-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}+4 \ln \left(f \right) b e -8 d \ln \left(f \right) c -16 d f +4 e^{2}}{4 \left(2 f +c \ln \left(f \right)\right)}} \erf \left(-\sqrt{-c \ln \left(f \right)-2 f}\, x +\frac{2 e +b \ln \left(f \right)}{2 \sqrt{-c \ln \left(f \right)-2 f}}\right)}{8 \sqrt{-c \ln \left(f \right)-2 f}}+\frac{\sqrt{\pi}\, f^{a} f^{-\frac{b^{2}}{4 c}} \erf \left(-\sqrt{-c \ln \left(f \right)}\, x +\frac{b \ln \left(f \right)}{2 \sqrt{-c \ln \left(f \right)}}\right)}{4 \sqrt{-c \ln \left(f \right)}}"," ",0,"-1/8*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2-4*ln(f)*b*e+8*d*ln(f)*c-16*d*f+4*e^2)/(-2*f+c*ln(f)))/(2*f-c*ln(f))^(1/2)*erf(-x*(2*f-c*ln(f))^(1/2)+1/2*(b*ln(f)-2*e)/(2*f-c*ln(f))^(1/2))-1/8*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2+4*ln(f)*b*e-8*d*ln(f)*c-16*d*f+4*e^2)/(2*f+c*ln(f)))/(-c*ln(f)-2*f)^(1/2)*erf(-(-c*ln(f)-2*f)^(1/2)*x+1/2*(2*e+b*ln(f))/(-c*ln(f)-2*f)^(1/2))+1/4*Pi^(1/2)*f^a*f^(-1/4*b^2/c)/(-c*ln(f))^(1/2)*erf(-(-c*ln(f))^(1/2)*x+1/2*b*ln(f)/(-c*ln(f))^(1/2))","A"
365,1,384,294,0.299000," ","int(f^(c*x^2+b*x+a)*sinh(f*x^2+e*x+d)^3,x)","-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}+6 \ln \left(f \right) b e -12 d \ln \left(f \right) c -36 d f +9 e^{2}}{4 \left(3 f +c \ln \left(f \right)\right)}} \erf \left(-\sqrt{-c \ln \left(f \right)-3 f}\, x +\frac{3 e +b \ln \left(f \right)}{2 \sqrt{-c \ln \left(f \right)-3 f}}\right)}{16 \sqrt{-c \ln \left(f \right)-3 f}}+\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}-6 \ln \left(f \right) b e +12 d \ln \left(f \right) c -36 d f +9 e^{2}}{4 \left(-3 f +c \ln \left(f \right)\right)}} \erf \left(-x \sqrt{3 f -c \ln \left(f \right)}+\frac{b \ln \left(f \right)-3 e}{2 \sqrt{3 f -c \ln \left(f \right)}}\right)}{16 \sqrt{3 f -c \ln \left(f \right)}}-\frac{3 \sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}-2 \ln \left(f \right) b e +4 d \ln \left(f \right) c -4 d f +e^{2}}{4 \left(-f +c \ln \left(f \right)\right)}} \erf \left(-x \sqrt{f -c \ln \left(f \right)}+\frac{b \ln \left(f \right)-e}{2 \sqrt{f -c \ln \left(f \right)}}\right)}{16 \sqrt{f -c \ln \left(f \right)}}+\frac{3 \sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}+2 \ln \left(f \right) b e -4 d \ln \left(f \right) c -4 d f +e^{2}}{4 \left(f +c \ln \left(f \right)\right)}} \erf \left(-\sqrt{-c \ln \left(f \right)-f}\, x +\frac{e +b \ln \left(f \right)}{2 \sqrt{-c \ln \left(f \right)-f}}\right)}{16 \sqrt{-c \ln \left(f \right)-f}}"," ",0,"-1/16*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2+6*ln(f)*b*e-12*d*ln(f)*c-36*d*f+9*e^2)/(3*f+c*ln(f)))/(-c*ln(f)-3*f)^(1/2)*erf(-(-c*ln(f)-3*f)^(1/2)*x+1/2*(3*e+b*ln(f))/(-c*ln(f)-3*f)^(1/2))+1/16*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2-6*ln(f)*b*e+12*d*ln(f)*c-36*d*f+9*e^2)/(-3*f+c*ln(f)))/(3*f-c*ln(f))^(1/2)*erf(-x*(3*f-c*ln(f))^(1/2)+1/2*(b*ln(f)-3*e)/(3*f-c*ln(f))^(1/2))-3/16*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2-2*ln(f)*b*e+4*d*ln(f)*c-4*d*f+e^2)/(-f+c*ln(f)))/(f-c*ln(f))^(1/2)*erf(-x*(f-c*ln(f))^(1/2)+1/2*(b*ln(f)-e)/(f-c*ln(f))^(1/2))+3/16*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2+2*ln(f)*b*e-4*d*ln(f)*c-4*d*f+e^2)/(f+c*ln(f)))/(-c*ln(f)-f)^(1/2)*erf(-(-c*ln(f)-f)^(1/2)*x+1/2*(e+b*ln(f))/(-c*ln(f)-f)^(1/2))","A"
366,1,25,24,0.021000," ","int((x+sinh(x))^2,x)","-\frac{x}{2}+\frac{x^{3}}{3}+2 x \cosh \left(x \right)-2 \sinh \left(x \right)+\frac{\cosh \left(x \right) \sinh \left(x \right)}{2}"," ",0,"-1/2*x+1/3*x^3+2*x*cosh(x)-2*sinh(x)+1/2*cosh(x)*sinh(x)","A"
367,1,52,46,0.023000," ","int((x+sinh(x))^3,x)","\left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(x \right)\right)}{3}\right) \cosh \left(x \right)+\frac{3 x \cosh \left(x \right) \sinh \left(x \right)}{2}-\frac{3 x^{2}}{4}-\frac{3 \left(\cosh^{2}\left(x \right)\right)}{4}+3 x^{2} \cosh \left(x \right)-6 x \sinh \left(x \right)+6 \cosh \left(x \right)+\frac{x^{4}}{4}"," ",0,"(-2/3+1/3*sinh(x)^2)*cosh(x)+3/2*x*cosh(x)*sinh(x)-3/4*x^2-3/4*cosh(x)^2+3*x^2*cosh(x)-6*x*sinh(x)+6*cosh(x)+1/4*x^4","A"
368,1,212,157,0.069000," ","int(sinh(b*x+a)/(d*x^2+c),x)","\frac{{\mathrm e}^{-\frac{b \sqrt{-c d}+d a}{d}} \Ei \left(1, -\frac{b \sqrt{-c d}-\left(b x +a \right) d +d a}{d}\right)}{4 \sqrt{-c d}}-\frac{{\mathrm e}^{-\frac{-b \sqrt{-c d}+d a}{d}} \Ei \left(1, \frac{b \sqrt{-c d}+\left(b x +a \right) d -d a}{d}\right)}{4 \sqrt{-c d}}-\frac{{\mathrm e}^{\frac{b \sqrt{-c d}+d a}{d}} \Ei \left(1, \frac{b \sqrt{-c d}-\left(b x +a \right) d +d a}{d}\right)}{4 \sqrt{-c d}}+\frac{{\mathrm e}^{\frac{-b \sqrt{-c d}+d a}{d}} \Ei \left(1, -\frac{b \sqrt{-c d}+\left(b x +a \right) d -d a}{d}\right)}{4 \sqrt{-c d}}"," ",0,"1/4/(-c*d)^(1/2)*exp(-(b*(-c*d)^(1/2)+d*a)/d)*Ei(1,-(b*(-c*d)^(1/2)-(b*x+a)*d+d*a)/d)-1/4/(-c*d)^(1/2)*exp(-(-b*(-c*d)^(1/2)+d*a)/d)*Ei(1,(b*(-c*d)^(1/2)+(b*x+a)*d-d*a)/d)-1/4/(-c*d)^(1/2)*exp((b*(-c*d)^(1/2)+d*a)/d)*Ei(1,(b*(-c*d)^(1/2)-(b*x+a)*d+d*a)/d)+1/4/(-c*d)^(1/2)*exp((-b*(-c*d)^(1/2)+d*a)/d)*Ei(1,-(b*(-c*d)^(1/2)+(b*x+a)*d-d*a)/d)","A"
369,1,376,231,0.067000," ","int(sinh(b*x+a)/(e*x^2+d*x+c),x)","-\frac{b \,{\mathrm e}^{-\frac{2 e a -b d -\sqrt{-4 b^{2} c e +b^{2} d^{2}}}{2 e}} \Ei \left(1, \frac{2 e \left(b x +a \right)-2 e a +b d +\sqrt{-4 b^{2} c e +b^{2} d^{2}}}{2 e}\right)}{2 \sqrt{-4 b^{2} c e +b^{2} d^{2}}}+\frac{b \,{\mathrm e}^{-\frac{2 e a -b d +\sqrt{-4 b^{2} c e +b^{2} d^{2}}}{2 e}} \Ei \left(1, -\frac{-2 e \left(b x +a \right)+2 e a -b d +\sqrt{-4 b^{2} c e +b^{2} d^{2}}}{2 e}\right)}{2 \sqrt{-4 b^{2} c e +b^{2} d^{2}}}-\frac{b \,{\mathrm e}^{\frac{2 e a -b d +\sqrt{-4 b^{2} c e +b^{2} d^{2}}}{2 e}} \Ei \left(1, \frac{-2 e \left(b x +a \right)+2 e a -b d +\sqrt{-4 b^{2} c e +b^{2} d^{2}}}{2 e}\right)}{2 \sqrt{-4 b^{2} c e +b^{2} d^{2}}}+\frac{b \,{\mathrm e}^{\frac{2 e a -b d -\sqrt{-4 b^{2} c e +b^{2} d^{2}}}{2 e}} \Ei \left(1, -\frac{2 e \left(b x +a \right)-2 e a +b d +\sqrt{-4 b^{2} c e +b^{2} d^{2}}}{2 e}\right)}{2 \sqrt{-4 b^{2} c e +b^{2} d^{2}}}"," ",0,"-1/2*b/(-4*b^2*c*e+b^2*d^2)^(1/2)*exp(-1/2/e*(2*e*a-b*d-(-4*b^2*c*e+b^2*d^2)^(1/2)))*Ei(1,1/2*(2*e*(b*x+a)-2*e*a+b*d+(-4*b^2*c*e+b^2*d^2)^(1/2))/e)+1/2*b/(-4*b^2*c*e+b^2*d^2)^(1/2)*exp(-1/2/e*(2*e*a-b*d+(-4*b^2*c*e+b^2*d^2)^(1/2)))*Ei(1,-1/2*(-2*e*(b*x+a)+2*e*a-b*d+(-4*b^2*c*e+b^2*d^2)^(1/2))/e)-1/2*b/(-4*b^2*c*e+b^2*d^2)^(1/2)*exp(1/2/e*(2*e*a-b*d+(-4*b^2*c*e+b^2*d^2)^(1/2)))*Ei(1,1/2*(-2*e*(b*x+a)+2*e*a-b*d+(-4*b^2*c*e+b^2*d^2)^(1/2))/e)+1/2*b/(-4*b^2*c*e+b^2*d^2)^(1/2)*exp(1/2/e*(2*e*a-b*d-(-4*b^2*c*e+b^2*d^2)^(1/2)))*Ei(1,-1/2*(2*e*(b*x+a)-2*e*a+b*d+(-4*b^2*c*e+b^2*d^2)^(1/2))/e)","A"