1,1,11,10,0.041000," ","int(cosh(b*x+a),x)","\frac{\sinh \left(b x +a \right)}{b}"," ",0,"sinh(b*x+a)/b","A"
2,1,27,21,0.085000," ","int(cosh(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"
3,1,23,24,0.205000," ","int(cosh(b*x+a)^3,x)","\frac{\left(\frac{2}{3}+\frac{\left(\cosh^{2}\left(b x +a \right)\right)}{3}\right) \sinh \left(b x +a \right)}{b}"," ",0,"1/b*(2/3+1/3*cosh(b*x+a)^2)*sinh(b*x+a)","A"
4,1,39,40,0.213000," ","int(cosh(b*x+a)^4,x)","\frac{\left(\frac{\left(\cosh^{3}\left(b x +a \right)\right)}{4}+\frac{3 \cosh \left(b x +a \right)}{8}\right) \sinh \left(b x +a \right)+\frac{3 b x}{8}+\frac{3 a}{8}}{b}"," ",0,"1/b*((1/4*cosh(b*x+a)^3+3/8*cosh(b*x+a))*sinh(b*x+a)+3/8*b*x+3/8*a)","A"
5,1,33,37,0.215000," ","int(cosh(b*x+a)^5,x)","\frac{\left(\frac{8}{15}+\frac{\left(\cosh^{4}\left(b x +a \right)\right)}{5}+\frac{4 \left(\cosh^{2}\left(b x +a \right)\right)}{15}\right) \sinh \left(b x +a \right)}{b}"," ",0,"1/b*(8/15+1/5*cosh(b*x+a)^4+4/15*cosh(b*x+a)^2)*sinh(b*x+a)","A"
6,1,49,59,0.223000," ","int(cosh(b*x+a)^6,x)","\frac{\left(\frac{\left(\cosh^{5}\left(b x +a \right)\right)}{6}+\frac{5 \left(\cosh^{3}\left(b x +a \right)\right)}{24}+\frac{5 \cosh \left(b x +a \right)}{16}\right) \sinh \left(b x +a \right)+\frac{5 b x}{16}+\frac{5 a}{16}}{b}"," ",0,"1/b*((1/6*cosh(b*x+a)^5+5/24*cosh(b*x+a)^3+5/16*cosh(b*x+a))*sinh(b*x+a)+5/16*b*x+5/16*a)","A"
7,1,201,85,0.353000," ","int(cosh(b*x+a)^(7/2),x)","\frac{2 \sqrt{\left(2 \left(\cosh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)-1\right) \left(\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)}\, \left(48 \left(\cosh^{9}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)-120 \left(\cosh^{7}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)+128 \left(\cosh^{5}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)-72 \left(\cosh^{3}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)+5 \sqrt{-\left(\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)}\, \sqrt{-2 \left(\cosh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)+1}\, \EllipticF \left(\cosh \left(\frac{b x}{2}+\frac{a}{2}\right), \sqrt{2}\right)+16 \cosh \left(\frac{b x}{2}+\frac{a}{2}\right)\right)}{21 \sqrt{2 \left(\sinh^{4}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)+\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)}\, \sinh \left(\frac{b x}{2}+\frac{a}{2}\right) \sqrt{2 \left(\cosh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)-1}\, b}"," ",0,"2/21*((2*cosh(1/2*b*x+1/2*a)^2-1)*sinh(1/2*b*x+1/2*a)^2)^(1/2)*(48*cosh(1/2*b*x+1/2*a)^9-120*cosh(1/2*b*x+1/2*a)^7+128*cosh(1/2*b*x+1/2*a)^5-72*cosh(1/2*b*x+1/2*a)^3+5*(-sinh(1/2*b*x+1/2*a)^2)^(1/2)*(-2*cosh(1/2*b*x+1/2*a)^2+1)^(1/2)*EllipticF(cosh(1/2*b*x+1/2*a),2^(1/2))+16*cosh(1/2*b*x+1/2*a))/(2*sinh(1/2*b*x+1/2*a)^4+sinh(1/2*b*x+1/2*a)^2)^(1/2)/sinh(1/2*b*x+1/2*a)/(2*cosh(1/2*b*x+1/2*a)^2-1)^(1/2)/b","B"
8,1,188,66,0.298000," ","int(cosh(b*x+a)^(5/2),x)","\frac{2 \sqrt{\left(2 \left(\cosh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)-1\right) \left(\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)}\, \left(8 \left(\cosh^{7}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)-16 \left(\cosh^{5}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)+10 \left(\cosh^{3}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)-3 \sqrt{-\left(\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)}\, \sqrt{-2 \left(\cosh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)+1}\, \EllipticE \left(\cosh \left(\frac{b x}{2}+\frac{a}{2}\right), \sqrt{2}\right)-2 \cosh \left(\frac{b x}{2}+\frac{a}{2}\right)\right)}{5 \sqrt{2 \left(\sinh^{4}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)+\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)}\, \sinh \left(\frac{b x}{2}+\frac{a}{2}\right) \sqrt{2 \left(\cosh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)-1}\, b}"," ",0,"2/5*((2*cosh(1/2*b*x+1/2*a)^2-1)*sinh(1/2*b*x+1/2*a)^2)^(1/2)*(8*cosh(1/2*b*x+1/2*a)^7-16*cosh(1/2*b*x+1/2*a)^5+10*cosh(1/2*b*x+1/2*a)^3-3*(-sinh(1/2*b*x+1/2*a)^2)^(1/2)*(-2*cosh(1/2*b*x+1/2*a)^2+1)^(1/2)*EllipticE(cosh(1/2*b*x+1/2*a),2^(1/2))-2*cosh(1/2*b*x+1/2*a))/(2*sinh(1/2*b*x+1/2*a)^4+sinh(1/2*b*x+1/2*a)^2)^(1/2)/sinh(1/2*b*x+1/2*a)/(2*cosh(1/2*b*x+1/2*a)^2-1)^(1/2)/b","B"
9,1,174,66,0.293000," ","int(cosh(b*x+a)^(3/2),x)","\frac{2 \sqrt{\left(2 \left(\cosh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)-1\right) \left(\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)}\, \left(4 \left(\cosh^{5}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)-6 \left(\cosh^{3}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)+\sqrt{-\left(\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)}\, \sqrt{-2 \left(\cosh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)+1}\, \EllipticF \left(\cosh \left(\frac{b x}{2}+\frac{a}{2}\right), \sqrt{2}\right)+2 \cosh \left(\frac{b x}{2}+\frac{a}{2}\right)\right)}{3 \sqrt{2 \left(\sinh^{4}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)+\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)}\, \sinh \left(\frac{b x}{2}+\frac{a}{2}\right) \sqrt{2 \left(\cosh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)-1}\, b}"," ",0,"2/3*((2*cosh(1/2*b*x+1/2*a)^2-1)*sinh(1/2*b*x+1/2*a)^2)^(1/2)*(4*cosh(1/2*b*x+1/2*a)^5-6*cosh(1/2*b*x+1/2*a)^3+(-sinh(1/2*b*x+1/2*a)^2)^(1/2)*(-2*cosh(1/2*b*x+1/2*a)^2+1)^(1/2)*EllipticF(cosh(1/2*b*x+1/2*a),2^(1/2))+2*cosh(1/2*b*x+1/2*a))/(2*sinh(1/2*b*x+1/2*a)^4+sinh(1/2*b*x+1/2*a)^2)^(1/2)/sinh(1/2*b*x+1/2*a)/(2*cosh(1/2*b*x+1/2*a)^2-1)^(1/2)/b","B"
10,1,135,46,0.261000," ","int(cosh(b*x+a)^(1/2),x)","-\frac{2 \sqrt{\left(2 \left(\cosh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)-1\right) \left(\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)}\, \sqrt{-\left(\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)}\, \sqrt{-2 \left(\cosh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)+1}\, \EllipticE \left(\cosh \left(\frac{b x}{2}+\frac{a}{2}\right), \sqrt{2}\right)}{\sqrt{2 \left(\sinh^{4}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)+\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)}\, \sinh \left(\frac{b x}{2}+\frac{a}{2}\right) \sqrt{2 \left(\cosh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)-1}\, b}"," ",0,"-2*((2*cosh(1/2*b*x+1/2*a)^2-1)*sinh(1/2*b*x+1/2*a)^2)^(1/2)*(-sinh(1/2*b*x+1/2*a)^2)^(1/2)*(-2*cosh(1/2*b*x+1/2*a)^2+1)^(1/2)*EllipticE(cosh(1/2*b*x+1/2*a),2^(1/2))/(2*sinh(1/2*b*x+1/2*a)^4+sinh(1/2*b*x+1/2*a)^2)^(1/2)/sinh(1/2*b*x+1/2*a)/(2*cosh(1/2*b*x+1/2*a)^2-1)^(1/2)/b","B"
11,1,135,46,0.289000," ","int(1/cosh(b*x+a)^(1/2),x)","\frac{2 \sqrt{\left(2 \left(\cosh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)-1\right) \left(\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)}\, \sqrt{-\left(\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)}\, \sqrt{-2 \left(\cosh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)+1}\, \EllipticF \left(\cosh \left(\frac{b x}{2}+\frac{a}{2}\right), \sqrt{2}\right)}{\sqrt{2 \left(\sinh^{4}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)+\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)}\, \sinh \left(\frac{b x}{2}+\frac{a}{2}\right) \sqrt{2 \left(\cosh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)-1}\, b}"," ",0,"2*((2*cosh(1/2*b*x+1/2*a)^2-1)*sinh(1/2*b*x+1/2*a)^2)^(1/2)*(-sinh(1/2*b*x+1/2*a)^2)^(1/2)*(-2*cosh(1/2*b*x+1/2*a)^2+1)^(1/2)/(2*sinh(1/2*b*x+1/2*a)^4+sinh(1/2*b*x+1/2*a)^2)^(1/2)*EllipticF(cosh(1/2*b*x+1/2*a),2^(1/2))/sinh(1/2*b*x+1/2*a)/(2*cosh(1/2*b*x+1/2*a)^2-1)^(1/2)/b","B"
12,1,103,66,0.355000," ","int(1/cosh(b*x+a)^(3/2),x)","\frac{2 \sqrt{-2 \left(\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)-1}\, \EllipticE \left(\cosh \left(\frac{b x}{2}+\frac{a}{2}\right), \sqrt{2}\right) \sqrt{-\left(\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)}+4 \cosh \left(\frac{b x}{2}+\frac{a}{2}\right) \left(\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)}{\sinh \left(\frac{b x}{2}+\frac{a}{2}\right) \sqrt{2 \left(\cosh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)-1}\, b}"," ",0,"2*((-2*sinh(1/2*b*x+1/2*a)^2-1)^(1/2)*EllipticE(cosh(1/2*b*x+1/2*a),2^(1/2))*(-sinh(1/2*b*x+1/2*a)^2)^(1/2)+2*cosh(1/2*b*x+1/2*a)*sinh(1/2*b*x+1/2*a)^2)/sinh(1/2*b*x+1/2*a)/(2*cosh(1/2*b*x+1/2*a)^2-1)^(1/2)/b","A"
13,1,217,66,0.334000," ","int(1/cosh(b*x+a)^(5/2),x)","\frac{2 \left(2 \sqrt{-\left(\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)}\, \sqrt{-2 \left(\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)-1}\, \EllipticF \left(\cosh \left(\frac{b x}{2}+\frac{a}{2}\right), \sqrt{2}\right) \left(\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)+\sqrt{-\left(\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)}\, \sqrt{-2 \left(\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)-1}\, \EllipticF \left(\cosh \left(\frac{b x}{2}+\frac{a}{2}\right), \sqrt{2}\right)+2 \cosh \left(\frac{b x}{2}+\frac{a}{2}\right) \left(\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)\right) \sqrt{\left(2 \left(\cosh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)-1\right) \left(\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)}}{3 \sqrt{2 \left(\sinh^{4}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)+\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)}\, \left(2 \left(\cosh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)-1\right)^{\frac{3}{2}} \sinh \left(\frac{b x}{2}+\frac{a}{2}\right) b}"," ",0,"2/3*(2*(-sinh(1/2*b*x+1/2*a)^2)^(1/2)*(-2*sinh(1/2*b*x+1/2*a)^2-1)^(1/2)*EllipticF(cosh(1/2*b*x+1/2*a),2^(1/2))*sinh(1/2*b*x+1/2*a)^2+(-sinh(1/2*b*x+1/2*a)^2)^(1/2)*(-2*sinh(1/2*b*x+1/2*a)^2-1)^(1/2)*EllipticF(cosh(1/2*b*x+1/2*a),2^(1/2))+2*cosh(1/2*b*x+1/2*a)*sinh(1/2*b*x+1/2*a)^2)*((2*cosh(1/2*b*x+1/2*a)^2-1)*sinh(1/2*b*x+1/2*a)^2)^(1/2)/(2*sinh(1/2*b*x+1/2*a)^4+sinh(1/2*b*x+1/2*a)^2)^(1/2)/(2*cosh(1/2*b*x+1/2*a)^2-1)^(3/2)/sinh(1/2*b*x+1/2*a)/b","B"
14,1,363,85,0.628000," ","int(1/cosh(b*x+a)^(7/2),x)","\frac{2 \sqrt{\left(2 \left(\cosh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)-1\right) \left(\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)}\, \left(12 \sqrt{-\left(\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)}\, \sqrt{-2 \left(\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)-1}\, \EllipticE \left(\cosh \left(\frac{b x}{2}+\frac{a}{2}\right), \sqrt{2}\right) \left(\sinh^{4}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)+24 \left(\sinh^{6}\left(\frac{b x}{2}+\frac{a}{2}\right)\right) \cosh \left(\frac{b x}{2}+\frac{a}{2}\right)+12 \sqrt{-\left(\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)}\, \sqrt{-2 \left(\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)-1}\, \EllipticE \left(\cosh \left(\frac{b x}{2}+\frac{a}{2}\right), \sqrt{2}\right) \left(\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)+24 \left(\sinh^{4}\left(\frac{b x}{2}+\frac{a}{2}\right)\right) \cosh \left(\frac{b x}{2}+\frac{a}{2}\right)+3 \sqrt{-2 \left(\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)-1}\, \EllipticE \left(\cosh \left(\frac{b x}{2}+\frac{a}{2}\right), \sqrt{2}\right) \sqrt{-\left(\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)}+8 \cosh \left(\frac{b x}{2}+\frac{a}{2}\right) \left(\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)\right) \sqrt{2 \left(\sinh^{4}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)+\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)}}{5 \left(8 \left(\sinh^{6}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)+12 \left(\sinh^{4}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)+6 \left(\sinh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)+1\right) \sinh \left(\frac{b x}{2}+\frac{a}{2}\right)^{3} \sqrt{2 \left(\cosh^{2}\left(\frac{b x}{2}+\frac{a}{2}\right)\right)-1}\, b}"," ",0,"2/5*((2*cosh(1/2*b*x+1/2*a)^2-1)*sinh(1/2*b*x+1/2*a)^2)^(1/2)/(8*sinh(1/2*b*x+1/2*a)^6+12*sinh(1/2*b*x+1/2*a)^4+6*sinh(1/2*b*x+1/2*a)^2+1)/sinh(1/2*b*x+1/2*a)^3*(12*(-sinh(1/2*b*x+1/2*a)^2)^(1/2)*(-2*sinh(1/2*b*x+1/2*a)^2-1)^(1/2)*EllipticE(cosh(1/2*b*x+1/2*a),2^(1/2))*sinh(1/2*b*x+1/2*a)^4+24*sinh(1/2*b*x+1/2*a)^6*cosh(1/2*b*x+1/2*a)+12*(-sinh(1/2*b*x+1/2*a)^2)^(1/2)*(-2*sinh(1/2*b*x+1/2*a)^2-1)^(1/2)*EllipticE(cosh(1/2*b*x+1/2*a),2^(1/2))*sinh(1/2*b*x+1/2*a)^2+24*sinh(1/2*b*x+1/2*a)^4*cosh(1/2*b*x+1/2*a)+3*(-2*sinh(1/2*b*x+1/2*a)^2-1)^(1/2)*EllipticE(cosh(1/2*b*x+1/2*a),2^(1/2))*(-sinh(1/2*b*x+1/2*a)^2)^(1/2)+8*cosh(1/2*b*x+1/2*a)*sinh(1/2*b*x+1/2*a)^2)*(2*sinh(1/2*b*x+1/2*a)^4+sinh(1/2*b*x+1/2*a)^2)^(1/2)/(2*cosh(1/2*b*x+1/2*a)^2-1)^(1/2)/b","B"
15,1,145,66,0.349000," ","int((a*cosh(x))^(7/2),x)","\frac{\sqrt{a \left(2 \left(\cosh^{2}\left(\frac{x}{2}\right)\right)-1\right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, a^{4} \left(96 \left(\cosh^{9}\left(\frac{x}{2}\right)\right)-240 \left(\cosh^{7}\left(\frac{x}{2}\right)\right)+256 \left(\cosh^{5}\left(\frac{x}{2}\right)\right)+5 \sqrt{2}\, \sqrt{-2 \left(\cosh^{2}\left(\frac{x}{2}\right)\right)+1}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticF \left(\sqrt{2}\, \cosh \left(\frac{x}{2}\right), \frac{\sqrt{2}}{2}\right)-144 \left(\cosh^{3}\left(\frac{x}{2}\right)\right)+32 \cosh \left(\frac{x}{2}\right)\right)}{21 \sqrt{a \left(2 \left(\sinh^{4}\left(\frac{x}{2}\right)\right)+\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \sinh \left(\frac{x}{2}\right) \sqrt{a \left(2 \left(\cosh^{2}\left(\frac{x}{2}\right)\right)-1\right)}}"," ",0,"1/21*(a*(2*cosh(1/2*x)^2-1)*sinh(1/2*x)^2)^(1/2)*a^4*(96*cosh(1/2*x)^9-240*cosh(1/2*x)^7+256*cosh(1/2*x)^5+5*2^(1/2)*(-2*cosh(1/2*x)^2+1)^(1/2)*(-sinh(1/2*x)^2)^(1/2)*EllipticF(2^(1/2)*cosh(1/2*x),1/2*2^(1/2))-144*cosh(1/2*x)^3+32*cosh(1/2*x))/(a*(2*sinh(1/2*x)^4+sinh(1/2*x)^2))^(1/2)/sinh(1/2*x)/(a*(2*cosh(1/2*x)^2-1))^(1/2)","B"
16,1,184,53,0.368000," ","int((a*cosh(x))^(5/2),x)","\frac{\sqrt{a \left(2 \left(\cosh^{2}\left(\frac{x}{2}\right)\right)-1\right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, a^{3} \left(16 \left(\sinh^{6}\left(\frac{x}{2}\right)\right) \cosh \left(\frac{x}{2}\right)+16 \left(\sinh^{4}\left(\frac{x}{2}\right)\right) \cosh \left(\frac{x}{2}\right)+3 \sqrt{2}\, \sqrt{-2 \left(\sinh^{2}\left(\frac{x}{2}\right)\right)-1}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticF \left(\sqrt{2}\, \cosh \left(\frac{x}{2}\right), \frac{\sqrt{2}}{2}\right)-6 \sqrt{2}\, \sqrt{-2 \left(\sinh^{2}\left(\frac{x}{2}\right)\right)-1}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticE \left(\sqrt{2}\, \cosh \left(\frac{x}{2}\right), \frac{\sqrt{2}}{2}\right)+4 \left(\sinh^{2}\left(\frac{x}{2}\right)\right) \cosh \left(\frac{x}{2}\right)\right)}{5 \sqrt{a \left(2 \left(\sinh^{4}\left(\frac{x}{2}\right)\right)+\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \sinh \left(\frac{x}{2}\right) \sqrt{a \left(2 \left(\cosh^{2}\left(\frac{x}{2}\right)\right)-1\right)}}"," ",0,"1/5*(a*(2*cosh(1/2*x)^2-1)*sinh(1/2*x)^2)^(1/2)*a^3*(16*sinh(1/2*x)^6*cosh(1/2*x)+16*sinh(1/2*x)^4*cosh(1/2*x)+3*2^(1/2)*(-2*sinh(1/2*x)^2-1)^(1/2)*(-sinh(1/2*x)^2)^(1/2)*EllipticF(2^(1/2)*cosh(1/2*x),1/2*2^(1/2))-6*2^(1/2)*(-2*sinh(1/2*x)^2-1)^(1/2)*(-sinh(1/2*x)^2)^(1/2)*EllipticE(2^(1/2)*cosh(1/2*x),1/2*2^(1/2))+4*sinh(1/2*x)^2*cosh(1/2*x))/(a*(2*sinh(1/2*x)^4+sinh(1/2*x)^2))^(1/2)/sinh(1/2*x)/(a*(2*cosh(1/2*x)^2-1))^(1/2)","B"
17,1,130,53,0.376000," ","int((a*cosh(x))^(3/2),x)","\frac{\sqrt{a \left(2 \left(\cosh^{2}\left(\frac{x}{2}\right)\right)-1\right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, a^{2} \left(8 \left(\sinh^{4}\left(\frac{x}{2}\right)\right) \cosh \left(\frac{x}{2}\right)+\sqrt{2}\, \sqrt{-2 \left(\sinh^{2}\left(\frac{x}{2}\right)\right)-1}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticF \left(\sqrt{2}\, \cosh \left(\frac{x}{2}\right), \frac{\sqrt{2}}{2}\right)+4 \left(\sinh^{2}\left(\frac{x}{2}\right)\right) \cosh \left(\frac{x}{2}\right)\right)}{3 \sqrt{a \left(2 \left(\sinh^{4}\left(\frac{x}{2}\right)\right)+\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \sinh \left(\frac{x}{2}\right) \sqrt{a \left(2 \left(\cosh^{2}\left(\frac{x}{2}\right)\right)-1\right)}}"," ",0,"1/3*(a*(2*cosh(1/2*x)^2-1)*sinh(1/2*x)^2)^(1/2)*a^2*(8*sinh(1/2*x)^4*cosh(1/2*x)+2^(1/2)*(-2*sinh(1/2*x)^2-1)^(1/2)*(-sinh(1/2*x)^2)^(1/2)*EllipticF(2^(1/2)*cosh(1/2*x),1/2*2^(1/2))+4*sinh(1/2*x)^2*cosh(1/2*x))/(a*(2*sinh(1/2*x)^4+sinh(1/2*x)^2))^(1/2)/sinh(1/2*x)/(a*(2*cosh(1/2*x)^2-1))^(1/2)","B"
18,1,118,38,0.373000," ","int((a*cosh(x))^(1/2),x)","\frac{\sqrt{a \left(2 \left(\cosh^{2}\left(\frac{x}{2}\right)\right)-1\right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, a \sqrt{2}\, \sqrt{-2 \left(\cosh^{2}\left(\frac{x}{2}\right)\right)+1}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \left(\EllipticF \left(\sqrt{2}\, \cosh \left(\frac{x}{2}\right), \frac{\sqrt{2}}{2}\right)-2 \EllipticE \left(\sqrt{2}\, \cosh \left(\frac{x}{2}\right), \frac{\sqrt{2}}{2}\right)\right)}{\sqrt{a \left(2 \left(\sinh^{4}\left(\frac{x}{2}\right)\right)+\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \sinh \left(\frac{x}{2}\right) \sqrt{a \left(2 \left(\cosh^{2}\left(\frac{x}{2}\right)\right)-1\right)}}"," ",0,"(a*(2*cosh(1/2*x)^2-1)*sinh(1/2*x)^2)^(1/2)*a*2^(1/2)*(-2*cosh(1/2*x)^2+1)^(1/2)*(-sinh(1/2*x)^2)^(1/2)*(EllipticF(2^(1/2)*cosh(1/2*x),1/2*2^(1/2))-2*EllipticE(2^(1/2)*cosh(1/2*x),1/2*2^(1/2)))/(a*(2*sinh(1/2*x)^4+sinh(1/2*x)^2))^(1/2)/sinh(1/2*x)/(a*(2*cosh(1/2*x)^2-1))^(1/2)","B"
19,1,100,38,0.253000," ","int(1/(a*cosh(x))^(1/2),x)","\frac{\sqrt{a \left(2 \left(\cosh^{2}\left(\frac{x}{2}\right)\right)-1\right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \sqrt{2}\, \sqrt{-2 \left(\cosh^{2}\left(\frac{x}{2}\right)\right)+1}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticF \left(\sqrt{2}\, \cosh \left(\frac{x}{2}\right), \frac{\sqrt{2}}{2}\right)}{\sqrt{a \left(2 \left(\sinh^{4}\left(\frac{x}{2}\right)\right)+\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \sinh \left(\frac{x}{2}\right) \sqrt{a \left(2 \left(\cosh^{2}\left(\frac{x}{2}\right)\right)-1\right)}}"," ",0,"(a*(2*cosh(1/2*x)^2-1)*sinh(1/2*x)^2)^(1/2)*2^(1/2)*(-2*cosh(1/2*x)^2+1)^(1/2)*(-sinh(1/2*x)^2)^(1/2)/(a*(2*sinh(1/2*x)^4+sinh(1/2*x)^2))^(1/2)*EllipticF(2^(1/2)*cosh(1/2*x),1/2*2^(1/2))/sinh(1/2*x)/(a*(2*cosh(1/2*x)^2-1))^(1/2)","B"
20,1,159,55,0.368000," ","int(1/(a*cosh(x))^(3/2),x)","-\frac{\sqrt{2 a \left(\sinh^{4}\left(\frac{x}{2}\right)\right)+a \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \left(\sqrt{2}\, \sqrt{-2 \left(\sinh^{2}\left(\frac{x}{2}\right)\right)-1}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticF \left(\sqrt{2}\, \cosh \left(\frac{x}{2}\right), \frac{\sqrt{2}}{2}\right)-2 \sqrt{2}\, \sqrt{-2 \left(\sinh^{2}\left(\frac{x}{2}\right)\right)-1}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticE \left(\sqrt{2}\, \cosh \left(\frac{x}{2}\right), \frac{\sqrt{2}}{2}\right)-4 \left(\sinh^{2}\left(\frac{x}{2}\right)\right) \cosh \left(\frac{x}{2}\right)\right)}{a \sqrt{a \left(2 \left(\sinh^{4}\left(\frac{x}{2}\right)\right)+\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \sinh \left(\frac{x}{2}\right) \sqrt{a \left(2 \left(\cosh^{2}\left(\frac{x}{2}\right)\right)-1\right)}}"," ",0,"-1/a*(2*a*sinh(1/2*x)^4+a*sinh(1/2*x)^2)^(1/2)*(2^(1/2)*(-2*sinh(1/2*x)^2-1)^(1/2)*(-sinh(1/2*x)^2)^(1/2)*EllipticF(2^(1/2)*cosh(1/2*x),1/2*2^(1/2))-2*2^(1/2)*(-2*sinh(1/2*x)^2-1)^(1/2)*(-sinh(1/2*x)^2)^(1/2)*EllipticE(2^(1/2)*cosh(1/2*x),1/2*2^(1/2))-4*sinh(1/2*x)^2*cosh(1/2*x))/(a*(2*sinh(1/2*x)^4+sinh(1/2*x)^2))^(1/2)/sinh(1/2*x)/(a*(2*cosh(1/2*x)^2-1))^(1/2)","B"
21,1,177,55,0.344000," ","int(1/(a*cosh(x))^(5/2),x)","\frac{\left(2 \sqrt{-2 \left(\sinh^{2}\left(\frac{x}{2}\right)\right)-1}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticF \left(\sqrt{2}\, \cosh \left(\frac{x}{2}\right), \frac{\sqrt{2}}{2}\right) \sqrt{2}\, \left(\sinh^{2}\left(\frac{x}{2}\right)\right)+\sqrt{2}\, \sqrt{-2 \left(\sinh^{2}\left(\frac{x}{2}\right)\right)-1}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticF \left(\sqrt{2}\, \cosh \left(\frac{x}{2}\right), \frac{\sqrt{2}}{2}\right)+4 \left(\sinh^{2}\left(\frac{x}{2}\right)\right) \cosh \left(\frac{x}{2}\right)\right) \sqrt{a \left(2 \left(\cosh^{2}\left(\frac{x}{2}\right)\right)-1\right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}}{3 a^{2} \sqrt{a \left(2 \left(\sinh^{4}\left(\frac{x}{2}\right)\right)+\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \left(2 \left(\cosh^{2}\left(\frac{x}{2}\right)\right)-1\right) \sinh \left(\frac{x}{2}\right) \sqrt{a \left(2 \left(\cosh^{2}\left(\frac{x}{2}\right)\right)-1\right)}}"," ",0,"1/3*(2*(-2*sinh(1/2*x)^2-1)^(1/2)*(-sinh(1/2*x)^2)^(1/2)*EllipticF(2^(1/2)*cosh(1/2*x),1/2*2^(1/2))*2^(1/2)*sinh(1/2*x)^2+2^(1/2)*(-2*sinh(1/2*x)^2-1)^(1/2)*(-sinh(1/2*x)^2)^(1/2)*EllipticF(2^(1/2)*cosh(1/2*x),1/2*2^(1/2))+4*sinh(1/2*x)^2*cosh(1/2*x))/a^2*(a*(2*cosh(1/2*x)^2-1)*sinh(1/2*x)^2)^(1/2)/(a*(2*sinh(1/2*x)^4+sinh(1/2*x)^2))^(1/2)/(2*cosh(1/2*x)^2-1)/sinh(1/2*x)/(a*(2*cosh(1/2*x)^2-1))^(1/2)","B"
22,1,254,68,0.602000," ","int(1/(a*cosh(x))^(7/2),x)","\frac{2 \sqrt{a \left(2 \left(\cosh^{2}\left(\frac{x}{2}\right)\right)-1\right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \left(\frac{\cosh \left(\frac{x}{2}\right) \sqrt{a \left(2 \left(\sinh^{4}\left(\frac{x}{2}\right)\right)+\sinh^{2}\left(\frac{x}{2}\right)\right)}}{20 a \left(\cosh^{2}\left(\frac{x}{2}\right)-\frac{1}{2}\right)^{3}}+\frac{6 \left(\sinh^{2}\left(\frac{x}{2}\right)\right) \cosh \left(\frac{x}{2}\right)}{5 \sqrt{a \left(2 \left(\cosh^{2}\left(\frac{x}{2}\right)\right)-1\right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}}+\frac{3 \sqrt{2}\, \sqrt{-2 \left(\cosh^{2}\left(\frac{x}{2}\right)\right)+1}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticF \left(\sqrt{2}\, \cosh \left(\frac{x}{2}\right), \frac{\sqrt{2}}{2}\right)}{10 \sqrt{a \left(2 \left(\sinh^{4}\left(\frac{x}{2}\right)\right)+\sinh^{2}\left(\frac{x}{2}\right)\right)}}-\frac{3 \sqrt{2}\, \sqrt{-2 \left(\cosh^{2}\left(\frac{x}{2}\right)\right)+1}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \left(\EllipticF \left(\sqrt{2}\, \cosh \left(\frac{x}{2}\right), \frac{\sqrt{2}}{2}\right)-\EllipticE \left(\sqrt{2}\, \cosh \left(\frac{x}{2}\right), \frac{\sqrt{2}}{2}\right)\right)}{5 \sqrt{a \left(2 \left(\sinh^{4}\left(\frac{x}{2}\right)\right)+\sinh^{2}\left(\frac{x}{2}\right)\right)}}\right)}{a^{3} \sinh \left(\frac{x}{2}\right) \sqrt{a \left(2 \left(\cosh^{2}\left(\frac{x}{2}\right)\right)-1\right)}}"," ",0,"2*(a*(2*cosh(1/2*x)^2-1)*sinh(1/2*x)^2)^(1/2)/a^3*(1/20*cosh(1/2*x)/a*(a*(2*sinh(1/2*x)^4+sinh(1/2*x)^2))^(1/2)/(cosh(1/2*x)^2-1/2)^3+6/5*sinh(1/2*x)^2*cosh(1/2*x)/(a*(2*cosh(1/2*x)^2-1)*sinh(1/2*x)^2)^(1/2)+3/10*2^(1/2)*(-2*cosh(1/2*x)^2+1)^(1/2)*(-sinh(1/2*x)^2)^(1/2)/(a*(2*sinh(1/2*x)^4+sinh(1/2*x)^2))^(1/2)*EllipticF(2^(1/2)*cosh(1/2*x),1/2*2^(1/2))-3/5*2^(1/2)*(-2*cosh(1/2*x)^2+1)^(1/2)*(-sinh(1/2*x)^2)^(1/2)/(a*(2*sinh(1/2*x)^4+sinh(1/2*x)^2))^(1/2)*(EllipticF(2^(1/2)*cosh(1/2*x),1/2*2^(1/2))-EllipticE(2^(1/2)*cosh(1/2*x),1/2*2^(1/2))))/sinh(1/2*x)/(a*(2*cosh(1/2*x)^2-1))^(1/2)","B"
23,0,0,65,0.269000," ","int((b*cosh(d*x+c))^n,x)","\int \left(b \cosh \left(d x +c \right)\right)^{n}\, dx"," ",0,"int((b*cosh(d*x+c))^n,x)","F"
24,1,111,48,0.066000," ","int(cosh(x)^4/(a+a*cosh(x)),x)","\frac{\tanh \left(\frac{x}{2}\right)}{a}-\frac{1}{3 a \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}-\frac{1}{a \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{5}{2 a \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2 a}-\frac{1}{3 a \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}+\frac{1}{a \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{5}{2 a \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2 a}"," ",0,"1/a*tanh(1/2*x)-1/3/a/(tanh(1/2*x)-1)^3-1/a/(tanh(1/2*x)-1)^2-5/2/a/(tanh(1/2*x)-1)+3/2/a*ln(tanh(1/2*x)-1)-1/3/a/(tanh(1/2*x)+1)^3+1/a/(tanh(1/2*x)+1)^2-5/2/a/(tanh(1/2*x)+1)-3/2/a*ln(tanh(1/2*x)+1)","B"
25,1,87,39,0.068000," ","int(cosh(x)^3/(a+a*cosh(x)),x)","-\frac{\tanh \left(\frac{x}{2}\right)}{a}+\frac{1}{2 a \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{3}{2 a \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2 a}-\frac{1}{2 a \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{3}{2 a \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2 a}"," ",0,"-1/a*tanh(1/2*x)+1/2/a/(tanh(1/2*x)-1)^2+3/2/a/(tanh(1/2*x)-1)-3/2/a*ln(tanh(1/2*x)-1)-1/2/a/(tanh(1/2*x)+1)^2+3/2/a/(tanh(1/2*x)+1)+3/2/a*ln(tanh(1/2*x)+1)","B"
26,1,59,25,0.068000," ","int(cosh(x)^2/(a+a*cosh(x)),x)","\frac{\tanh \left(\frac{x}{2}\right)}{a}-\frac{1}{a \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{a}-\frac{1}{a \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{a}"," ",0,"1/a*tanh(1/2*x)-1/a/(tanh(1/2*x)-1)+1/a*ln(tanh(1/2*x)-1)-1/a/(tanh(1/2*x)+1)-1/a*ln(tanh(1/2*x)+1)","B"
27,1,34,18,0.054000," ","int(cosh(x)/(a+a*cosh(x)),x)","-\frac{\tanh \left(\frac{x}{2}\right)}{a}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{a}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{a}"," ",0,"-1/a*tanh(1/2*x)-1/a*ln(tanh(1/2*x)-1)+1/a*ln(tanh(1/2*x)+1)","A"
28,1,21,20,0.065000," ","int(sech(x)/(a+a*cosh(x)),x)","-\frac{\tanh \left(\frac{x}{2}\right)}{a}+\frac{2 \arctan \left(\tanh \left(\frac{x}{2}\right)\right)}{a}"," ",0,"-1/a*tanh(1/2*x)+2/a*arctan(tanh(1/2*x))","A"
29,1,39,28,0.088000," ","int(sech(x)^2/(a+a*cosh(x)),x)","\frac{\tanh \left(\frac{x}{2}\right)}{a}+\frac{2 \tanh \left(\frac{x}{2}\right)}{a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}-\frac{2 \arctan \left(\tanh \left(\frac{x}{2}\right)\right)}{a}"," ",0,"1/a*tanh(1/2*x)+2/a*tanh(1/2*x)/(tanh(1/2*x)^2+1)-2/a*arctan(tanh(1/2*x))","A"
30,1,61,39,0.089000," ","int(sech(x)^3/(a+a*cosh(x)),x)","-\frac{\tanh \left(\frac{x}{2}\right)}{a}-\frac{3 \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}-\frac{\tanh \left(\frac{x}{2}\right)}{a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}+\frac{3 \arctan \left(\tanh \left(\frac{x}{2}\right)\right)}{a}"," ",0,"-1/a*tanh(1/2*x)-3/a/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)^3-1/a/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)+3/a*arctan(tanh(1/2*x))","A"
31,1,81,50,0.092000," ","int(sech(x)^4/(a+a*cosh(x)),x)","\frac{\tanh \left(\frac{x}{2}\right)}{a}+\frac{5 \left(\tanh^{5}\left(\frac{x}{2}\right)\right)}{a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}+\frac{16 \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{3 a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}+\frac{3 \tanh \left(\frac{x}{2}\right)}{a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}-\frac{3 \arctan \left(\tanh \left(\frac{x}{2}\right)\right)}{a}"," ",0,"1/a*tanh(1/2*x)+5/a/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)^5+16/3/a/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)^3+3/a/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)-3/a*arctan(tanh(1/2*x))","A"
32,1,14,20,0.053000," ","int(1/(1+cosh(d*x+c)),x)","\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d}"," ",0,"1/d*tanh(1/2*d*x+1/2*c)","A"
33,1,30,43,0.062000," ","int(1/(1+cosh(d*x+c))^2,x)","\frac{-\frac{\left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{6}+\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{2}}{d}"," ",0,"1/d*(-1/6*tanh(1/2*d*x+1/2*c)^3+1/2*tanh(1/2*d*x+1/2*c))","A"
34,1,43,64,0.059000," ","int(1/(1+cosh(d*x+c))^3,x)","\frac{\frac{\left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{20}-\frac{\left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{6}+\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{4}}{d}"," ",0,"1/d*(1/20*tanh(1/2*d*x+1/2*c)^5-1/6*tanh(1/2*d*x+1/2*c)^3+1/4*tanh(1/2*d*x+1/2*c))","A"
35,1,56,85,0.054000," ","int(1/(1+cosh(d*x+c))^4,x)","\frac{-\frac{\left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{56}+\frac{3 \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{40}-\frac{\left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{8}+\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{8}}{d}"," ",0,"1/d*(-1/56*tanh(1/2*d*x+1/2*c)^7+3/40*tanh(1/2*d*x+1/2*c)^5-1/8*tanh(1/2*d*x+1/2*c)^3+1/8*tanh(1/2*d*x+1/2*c))","A"
36,1,16,23,0.063000," ","int(1/(1-cosh(d*x+c)),x)","\frac{1}{d \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}"," ",0,"1/d/tanh(1/2*d*x+1/2*c)","A"
37,1,32,47,0.073000," ","int(1/(1-cosh(d*x+c))^2,x)","\frac{-\frac{1}{6 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)^{3}}+\frac{1}{2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}}{d}"," ",0,"1/d*(-1/6/tanh(1/2*d*x+1/2*c)^3+1/2/tanh(1/2*d*x+1/2*c))","A"
38,1,45,70,0.076000," ","int(1/(1-cosh(d*x+c))^3,x)","\frac{-\frac{1}{6 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)^{3}}+\frac{1}{4 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}+\frac{1}{20 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)^{5}}}{d}"," ",0,"1/d*(-1/6/tanh(1/2*d*x+1/2*c)^3+1/4/tanh(1/2*d*x+1/2*c)+1/20/tanh(1/2*d*x+1/2*c)^5)","A"
39,1,58,93,0.076000," ","int(1/(1-cosh(d*x+c))^4,x)","\frac{-\frac{1}{56 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)^{7}}-\frac{1}{8 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)^{3}}+\frac{1}{8 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}+\frac{3}{40 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)^{5}}}{d}"," ",0,"1/d*(-1/56/tanh(1/2*d*x+1/2*c)^7-1/8/tanh(1/2*d*x+1/2*c)^3+1/8/tanh(1/2*d*x+1/2*c)+3/40/tanh(1/2*d*x+1/2*c)^5)","A"
40,1,92,40,0.268000," ","int(cosh(x)/(a+a*cosh(x))^(1/2),x)","\frac{\cosh \left(\frac{x}{2}\right) \sqrt{a \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \left(2 \sqrt{a \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \sqrt{-a}+\ln \left(\frac{2 \sqrt{a \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \sqrt{-a}-2 a}{\cosh \left(\frac{x}{2}\right)}\right) a \right) \sqrt{2}}{a \sqrt{-a}\, \sinh \left(\frac{x}{2}\right) \sqrt{a \left(\cosh^{2}\left(\frac{x}{2}\right)\right)}}"," ",0,"cosh(1/2*x)*(a*sinh(1/2*x)^2)^(1/2)*(2*(a*sinh(1/2*x)^2)^(1/2)*(-a)^(1/2)+ln(2/cosh(1/2*x)*((a*sinh(1/2*x)^2)^(1/2)*(-a)^(1/2)-a))*a)/a/(-a)^(1/2)/sinh(1/2*x)*2^(1/2)/(a*cosh(1/2*x)^2)^(1/2)","B"
41,1,40,42,0.338000," ","int(cosh(x)/(a-a*cosh(x))^(1/2),x)","\frac{\sinh \left(\frac{x}{2}\right) \left(4 \cosh \left(\frac{x}{2}\right)+\ln \left(-1+\cosh \left(\frac{x}{2}\right)\right)-\ln \left(\cosh \left(\frac{x}{2}\right)+1\right)\right)}{\sqrt{-2 a \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}}"," ",0,"sinh(1/2*x)*(4*cosh(1/2*x)+ln(-1+cosh(1/2*x))-ln(cosh(1/2*x)+1))/(-2*a*sinh(1/2*x)^2)^(1/2)","A"
42,1,73,77,0.283000," ","int((a+a*cosh(d*x+c))^(5/2),x)","\frac{8 a^{3} \cosh \left(\frac{d x}{2}+\frac{c}{2}\right) \sinh \left(\frac{d x}{2}+\frac{c}{2}\right) \left(3 \left(\cosh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+4 \left(\cosh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+8\right) \sqrt{2}}{15 \sqrt{a \left(\cosh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}\, d}"," ",0,"8/15*a^3*cosh(1/2*d*x+1/2*c)*sinh(1/2*d*x+1/2*c)*(3*cosh(1/2*d*x+1/2*c)^4+4*cosh(1/2*d*x+1/2*c)^2+8)*2^(1/2)/(a*cosh(1/2*d*x+1/2*c)^2)^(1/2)/d","A"
43,1,58,51,0.169000," ","int((a+a*cosh(d*x+c))^(3/2),x)","\frac{4 a^{2} \cosh \left(\frac{d x}{2}+\frac{c}{2}\right) \sinh \left(\frac{d x}{2}+\frac{c}{2}\right) \left(\cosh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+2\right) \sqrt{2}}{3 \sqrt{a \left(\cosh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}\, d}"," ",0,"4/3*a^2*cosh(1/2*d*x+1/2*c)*sinh(1/2*d*x+1/2*c)*(cosh(1/2*d*x+1/2*c)^2+2)*2^(1/2)/(a*cosh(1/2*d*x+1/2*c)^2)^(1/2)/d","A"
44,1,43,24,0.137000," ","int((a+a*cosh(d*x+c))^(1/2),x)","\frac{2 a \cosh \left(\frac{d x}{2}+\frac{c}{2}\right) \sinh \left(\frac{d x}{2}+\frac{c}{2}\right) \sqrt{2}}{\sqrt{a \left(\cosh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}\, d}"," ",0,"2*a*cosh(1/2*d*x+1/2*c)*sinh(1/2*d*x+1/2*c)*2^(1/2)/(a*cosh(1/2*d*x+1/2*c)^2)^(1/2)/d","A"
45,1,103,37,0.189000," ","int(1/(a+a*cosh(d*x+c))^(1/2),x)","-\frac{\cosh \left(\frac{d x}{2}+\frac{c}{2}\right) \sqrt{a \left(\sinh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}\, \ln \left(\frac{2 \sqrt{a \left(\sinh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}\, \sqrt{-a}-2 a}{\cosh \left(\frac{d x}{2}+\frac{c}{2}\right)}\right) \sqrt{2}}{\sqrt{-a}\, \sinh \left(\frac{d x}{2}+\frac{c}{2}\right) \sqrt{a \left(\cosh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}\, d}"," ",0,"-cosh(1/2*d*x+1/2*c)*(a*sinh(1/2*d*x+1/2*c)^2)^(1/2)/(-a)^(1/2)*ln(2/cosh(1/2*d*x+1/2*c)*((a*sinh(1/2*d*x+1/2*c)^2)^(1/2)*(-a)^(1/2)-a))/sinh(1/2*d*x+1/2*c)*2^(1/2)/(a*cosh(1/2*d*x+1/2*c)^2)^(1/2)/d","B"
46,1,144,62,0.273000," ","int(1/(a+a*cosh(d*x+c))^(3/2),x)","-\frac{\sqrt{a \left(\sinh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}\, \left(\ln \left(\frac{2 \sqrt{a \left(\sinh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}\, \sqrt{-a}-2 a}{\cosh \left(\frac{d x}{2}+\frac{c}{2}\right)}\right) a \left(\cosh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-\sqrt{a \left(\sinh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}\, \sqrt{-a}\right) \sqrt{2}}{4 a^{2} \cosh \left(\frac{d x}{2}+\frac{c}{2}\right) \sqrt{-a}\, \sinh \left(\frac{d x}{2}+\frac{c}{2}\right) \sqrt{a \left(\cosh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}\, d}"," ",0,"-1/4*(a*sinh(1/2*d*x+1/2*c)^2)^(1/2)*(ln(2/cosh(1/2*d*x+1/2*c)*((a*sinh(1/2*d*x+1/2*c)^2)^(1/2)*(-a)^(1/2)-a))*a*cosh(1/2*d*x+1/2*c)^2-(a*sinh(1/2*d*x+1/2*c)^2)^(1/2)*(-a)^(1/2))/a^2/cosh(1/2*d*x+1/2*c)/(-a)^(1/2)/sinh(1/2*d*x+1/2*c)*2^(1/2)/(a*cosh(1/2*d*x+1/2*c)^2)^(1/2)/d","B"
47,1,178,88,0.286000," ","int(1/(a+a*cosh(d*x+c))^(5/2),x)","-\frac{\sqrt{a \left(\sinh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}\, \left(3 \ln \left(\frac{2 \sqrt{a \left(\sinh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}\, \sqrt{-a}-2 a}{\cosh \left(\frac{d x}{2}+\frac{c}{2}\right)}\right) a \left(\cosh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-3 \sqrt{a \left(\sinh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}\, \left(\cosh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) \sqrt{-a}-2 \sqrt{a \left(\sinh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}\, \sqrt{-a}\right) \sqrt{2}}{32 a^{3} \cosh \left(\frac{d x}{2}+\frac{c}{2}\right)^{3} \sqrt{-a}\, \sinh \left(\frac{d x}{2}+\frac{c}{2}\right) \sqrt{a \left(\cosh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}\, d}"," ",0,"-1/32*(a*sinh(1/2*d*x+1/2*c)^2)^(1/2)*(3*ln(2/cosh(1/2*d*x+1/2*c)*((a*sinh(1/2*d*x+1/2*c)^2)^(1/2)*(-a)^(1/2)-a))*a*cosh(1/2*d*x+1/2*c)^4-3*(a*sinh(1/2*d*x+1/2*c)^2)^(1/2)*cosh(1/2*d*x+1/2*c)^2*(-a)^(1/2)-2*(a*sinh(1/2*d*x+1/2*c)^2)^(1/2)*(-a)^(1/2))/a^3/cosh(1/2*d*x+1/2*c)^3/(-a)^(1/2)/sinh(1/2*d*x+1/2*c)*2^(1/2)/(a*cosh(1/2*d*x+1/2*c)^2)^(1/2)/d","B"
48,1,71,80,0.257000," ","int((a-a*cosh(d*x+c))^(5/2),x)","-\frac{16 \sinh \left(\frac{d x}{2}+\frac{c}{2}\right) a^{3} \cosh \left(\frac{d x}{2}+\frac{c}{2}\right) \left(3 \left(\sinh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\sinh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+8\right)}{15 \sqrt{-2 a \left(\sinh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}\, d}"," ",0,"-16/15*sinh(1/2*d*x+1/2*c)*a^3*cosh(1/2*d*x+1/2*c)*(3*sinh(1/2*d*x+1/2*c)^4-4*sinh(1/2*d*x+1/2*c)^2+8)/(-2*a*sinh(1/2*d*x+1/2*c)^2)^(1/2)/d","A"
49,1,56,53,0.250000," ","int((a-a*cosh(d*x+c))^(3/2),x)","\frac{8 \sinh \left(\frac{d x}{2}+\frac{c}{2}\right) a^{2} \cosh \left(\frac{d x}{2}+\frac{c}{2}\right) \left(\cosh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)-3\right)}{3 \sqrt{-2 a \left(\sinh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}\, d}"," ",0,"8/3*sinh(1/2*d*x+1/2*c)*a^2*cosh(1/2*d*x+1/2*c)*(cosh(1/2*d*x+1/2*c)^2-3)/(-2*a*sinh(1/2*d*x+1/2*c)^2)^(1/2)/d","A"
50,1,41,25,0.215000," ","int((a-a*cosh(d*x+c))^(1/2),x)","-\frac{4 \sinh \left(\frac{d x}{2}+\frac{c}{2}\right) a \cosh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{-2 a \left(\sinh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}\, d}"," ",0,"-4*sinh(1/2*d*x+1/2*c)*a*cosh(1/2*d*x+1/2*c)/(-2*a*sinh(1/2*d*x+1/2*c)^2)^(1/2)/d","A"
51,1,41,39,0.219000," ","int(1/(a-a*cosh(d*x+c))^(1/2),x)","-\frac{2 \sinh \left(\frac{d x}{2}+\frac{c}{2}\right) \arctanh \left(\cosh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{\sqrt{-2 a \left(\sinh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}\, d}"," ",0,"-2*sinh(1/2*d*x+1/2*c)*arctanh(cosh(1/2*d*x+1/2*c))/(-2*a*sinh(1/2*d*x+1/2*c)^2)^(1/2)/d","A"
52,1,87,64,0.369000," ","int(1/(a-a*cosh(d*x+c))^(3/2),x)","\frac{2 \cosh \left(\frac{d x}{2}+\frac{c}{2}\right)+\left(\ln \left(-1+\cosh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)-\ln \left(\cosh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)\right) \left(\sinh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 a \sinh \left(\frac{d x}{2}+\frac{c}{2}\right) \sqrt{-2 a \left(\sinh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}\, d}"," ",0,"1/4/a*(2*cosh(1/2*d*x+1/2*c)+(ln(-1+cosh(1/2*d*x+1/2*c))-ln(cosh(1/2*d*x+1/2*c)+1))*sinh(1/2*d*x+1/2*c)^2)/sinh(1/2*d*x+1/2*c)/(-2*a*sinh(1/2*d*x+1/2*c)^2)^(1/2)/d","A"
53,1,137,91,0.336000," ","int(1/(a-a*cosh(d*x+c))^(5/2),x)","\frac{6 \left(\sinh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) \cosh \left(\frac{d x}{2}+\frac{c}{2}\right)-4 \cosh \left(\frac{d x}{2}+\frac{c}{2}\right)+\left(3 \ln \left(-1+\cosh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)-3 \ln \left(\cosh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)\right) \left(\sinh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{32 a^{2} \left(\cosh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right) \left(-1+\cosh \left(\frac{d x}{2}+\frac{c}{2}\right)\right) \sinh \left(\frac{d x}{2}+\frac{c}{2}\right) \sqrt{-2 a \left(\sinh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}\, d}"," ",0,"1/32/a^2*(6*sinh(1/2*d*x+1/2*c)^2*cosh(1/2*d*x+1/2*c)-4*cosh(1/2*d*x+1/2*c)+(3*ln(-1+cosh(1/2*d*x+1/2*c))-3*ln(cosh(1/2*d*x+1/2*c)+1))*sinh(1/2*d*x+1/2*c)^4)/(cosh(1/2*d*x+1/2*c)+1)/(-1+cosh(1/2*d*x+1/2*c))/sinh(1/2*d*x+1/2*c)/(-2*a*sinh(1/2*d*x+1/2*c)^2)^(1/2)/d","A"
54,1,264,94,0.067000," ","int(cosh(x)^4/(a+b*cosh(x)),x)","-\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}{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}{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{2 a^{4} \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{b^{4} \sqrt{\left(a +b \right) \left(a -b \right)}}"," ",0,"-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/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/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)+2*a^4/b^4/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))","B"
55,1,174,71,0.063000," ","int(cosh(x)^3/(a+b*cosh(x)),x)","\frac{1}{2 b \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{a}{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{\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{a}{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{\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{2 a^{3} \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{b^{3} \sqrt{\left(a +b \right) \left(a -b \right)}}"," ",0,"1/2/b/(tanh(1/2*x)-1)^2+1/b^2/(tanh(1/2*x)-1)*a+1/2/b/(tanh(1/2*x)-1)-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/b^2/(tanh(1/2*x)+1)*a+1/2/b/(tanh(1/2*x)+1)+1/b^3*ln(tanh(1/2*x)+1)*a^2+1/2/b*ln(tanh(1/2*x)+1)-2*a^3/b^3/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))","B"
56,1,94,52,0.060000," ","int(cosh(x)^2/(a+b*cosh(x)),x)","-\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}}+\frac{2 a^{2} \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{b^{2} \sqrt{\left(a +b \right) \left(a -b \right)}}"," ",0,"-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)+2*a^2/b^2/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))","A"
57,1,64,42,0.057000," ","int(cosh(x)/(a+b*cosh(x)),x)","-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{b}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{b}-\frac{2 a \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{b \sqrt{\left(a +b \right) \left(a -b \right)}}"," ",0,"-1/b*ln(tanh(1/2*x)-1)+1/b*ln(tanh(1/2*x)+1)-2*a/b/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))","A"
58,1,51,44,0.076000," ","int(sech(x)/(a+b*cosh(x)),x)","-\frac{2 b \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{a \sqrt{\left(a +b \right) \left(a -b \right)}}+\frac{2 \arctan \left(\tanh \left(\frac{x}{2}\right)\right)}{a}"," ",0,"-2/a*b/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))+2/a*arctan(tanh(1/2*x))","A"
59,1,73,54,0.087000," ","int(sech(x)^2/(a+b*cosh(x)),x)","\frac{2 b^{2} \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{a^{2} \sqrt{\left(a +b \right) \left(a -b \right)}}+\frac{2 \tanh \left(\frac{x}{2}\right)}{a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}-\frac{2 b \arctan \left(\tanh \left(\frac{x}{2}\right)\right)}{a^{2}}"," ",0,"2*b^2/a^2/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))+2/a*tanh(1/2*x)/(tanh(1/2*x)^2+1)-2/a^2*b*arctan(tanh(1/2*x))","A"
60,1,146,73,0.091000," ","int(sech(x)^3/(a+b*cosh(x)),x)","-\frac{2 b^{3} \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{a^{3} \sqrt{\left(a +b \right) \left(a -b \right)}}-\frac{\tanh^{3}\left(\frac{x}{2}\right)}{a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}-\frac{2 \left(\tanh^{3}\left(\frac{x}{2}\right)\right) b}{a^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}+\frac{\tanh \left(\frac{x}{2}\right)}{a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}-\frac{2 \tanh \left(\frac{x}{2}\right) b}{a^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}+\frac{\arctan \left(\tanh \left(\frac{x}{2}\right)\right)}{a}+\frac{2 \arctan \left(\tanh \left(\frac{x}{2}\right)\right) b^{2}}{a^{3}}"," ",0,"-2*b^3/a^3/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))-1/a/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)^3-2/a^2/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)^3*b+1/a/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)-2/a^2/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)*b+1/a*arctan(tanh(1/2*x))+2/a^3*arctan(tanh(1/2*x))*b^2","A"
61,1,239,96,0.112000," ","int(sech(x)^4/(a+b*cosh(x)),x)","\frac{2 b^{4} \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{a^{4} \sqrt{\left(a +b \right) \left(a -b \right)}}+\frac{2 \left(\tanh^{5}\left(\frac{x}{2}\right)\right)}{a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}+\frac{\left(\tanh^{5}\left(\frac{x}{2}\right)\right) b}{a^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}+\frac{2 \left(\tanh^{5}\left(\frac{x}{2}\right)\right) b^{2}}{a^{3} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}+\frac{4 \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{3 a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}+\frac{4 \left(\tanh^{3}\left(\frac{x}{2}\right)\right) b^{2}}{a^{3} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}+\frac{2 \tanh \left(\frac{x}{2}\right)}{a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}+\frac{2 \tanh \left(\frac{x}{2}\right) b^{2}}{a^{3} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}-\frac{\tanh \left(\frac{x}{2}\right) b}{a^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}-\frac{b \arctan \left(\tanh \left(\frac{x}{2}\right)\right)}{a^{2}}-\frac{2 \arctan \left(\tanh \left(\frac{x}{2}\right)\right) b^{3}}{a^{4}}"," ",0,"2*b^4/a^4/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))+2/a/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)^5+1/a^2/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)^5*b+2/a^3/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)^5*b^2+4/3/a/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)^3+4/a^3/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)^3*b^2+2/a/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)+2/a^3/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)*b^2-1/a^2/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)*b-1/a^2*b*arctan(tanh(1/2*x))-2/a^4*arctan(tanh(1/2*x))*b^3","B"
62,1,155,171,0.303000," ","int((a+b*cosh(d*x+c))^5,x)","\frac{b^{5} \left(\frac{8}{15}+\frac{\left(\cosh^{4}\left(d x +c \right)\right)}{5}+\frac{4 \left(\cosh^{2}\left(d x +c \right)\right)}{15}\right) \sinh \left(d x +c \right)+5 a \,b^{4} \left(\left(\frac{\left(\cosh^{3}\left(d x +c \right)\right)}{4}+\frac{3 \cosh \left(d x +c \right)}{8}\right) \sinh \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(\cosh^{2}\left(d x +c \right)\right)}{3}\right) \sinh \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 \sinh \left(d x +c \right)+a^{5} \left(d x +c \right)}{d}"," ",0,"1/d*(b^5*(8/15+1/5*cosh(d*x+c)^4+4/15*cosh(d*x+c)^2)*sinh(d*x+c)+5*a*b^4*((1/4*cosh(d*x+c)^3+3/8*cosh(d*x+c))*sinh(d*x+c)+3/8*d*x+3/8*c)+10*a^2*b^3*(2/3+1/3*cosh(d*x+c)^2)*sinh(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*sinh(d*x+c)+a^5*(d*x+c))","A"
63,1,119,127,0.254000," ","int((a+b*cosh(d*x+c))^4,x)","\frac{b^{4} \left(\left(\frac{\left(\cosh^{3}\left(d x +c \right)\right)}{4}+\frac{3 \cosh \left(d x +c \right)}{8}\right) \sinh \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(\cosh^{2}\left(d x +c \right)\right)}{3}\right) \sinh \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 \sinh \left(d x +c \right)+a^{4} \left(d x +c \right)}{d}"," ",0,"1/d*(b^4*((1/4*cosh(d*x+c)^3+3/8*cosh(d*x+c))*sinh(d*x+c)+3/8*d*x+3/8*c)+4*a*b^3*(2/3+1/3*cosh(d*x+c)^2)*sinh(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*sinh(d*x+c)+a^4*(d*x+c))","A"
64,1,77,82,0.204000," ","int((a+b*cosh(d*x+c))^3,x)","\frac{b^{3} \left(\frac{2}{3}+\frac{\left(\cosh^{2}\left(d x +c \right)\right)}{3}\right) \sinh \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 \sinh \left(d x +c \right)+a^{3} \left(d x +c \right)}{d}"," ",0,"1/d*(b^3*(2/3+1/3*cosh(d*x+c)^2)*sinh(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*sinh(d*x+c)+a^3*(d*x+c))","A"
65,1,51,46,0.074000," ","int((a+b*cosh(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 \sinh \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*sinh(d*x+c)+a^2*(d*x+c))","A"
66,1,16,15,0.028000," ","int(a+b*cosh(d*x+c),x)","a x +\frac{b \sinh \left(d x +c \right)}{d}"," ",0,"a*x+b*sinh(d*x+c)/d","A"
67,1,44,40,0.065000," ","int(1/(a+b*cosh(d*x+c)),x)","\frac{2 \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{d \sqrt{\left(a +b \right) \left(a -b \right)}}"," ",0,"2/d/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*d*x+1/2*c)/((a+b)*(a-b))^(1/2))","A"
68,1,118,77,0.076000," ","int(1/(a+b*cosh(d*x+c))^2,x)","\frac{\frac{2 b \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\left(a^{2}-b^{2}\right) \left(\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b -a -b \right)}+\frac{2 a \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{\left(a +b \right) \left(a -b \right) \sqrt{\left(a +b \right) \left(a -b \right)}}}{d}"," ",0,"1/d*(2*b/(a^2-b^2)*tanh(1/2*d*x+1/2*c)/(tanh(1/2*d*x+1/2*c)^2*a-tanh(1/2*d*x+1/2*c)^2*b-a-b)+2*a/(a+b)/(a-b)/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*d*x+1/2*c)/((a+b)*(a-b))^(1/2)))","A"
69,1,186,120,0.086000," ","int(1/(a+b*cosh(d*x+c))^3,x)","\frac{-\frac{2 \left(-\frac{\left(4 a +b \right) b \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{2 \left(a -b \right) \left(a^{2}+2 a b +b^{2}\right)}+\frac{\left(4 a -b \right) b \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{2 \left(a +b \right) \left(a^{2}-2 a b +b^{2}\right)}\right)}{\left(\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b -a -b \right)^{2}}+\frac{\left(2 a^{2}+b^{2}\right) \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{\left(a^{4}-2 a^{2} b^{2}+b^{4}\right) \sqrt{\left(a +b \right) \left(a -b \right)}}}{d}"," ",0,"1/d*(-2*(-1/2*(4*a+b)*b/(a-b)/(a^2+2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^3+1/2*(4*a-b)*b/(a+b)/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c))/(tanh(1/2*d*x+1/2*c)^2*a-tanh(1/2*d*x+1/2*c)^2*b-a-b)^2+(2*a^2+b^2)/(a^4-2*a^2*b^2+b^4)/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*d*x+1/2*c)/((a+b)*(a-b))^(1/2)))","A"
70,1,284,169,0.094000," ","int(1/(a+b*cosh(d*x+c))^4,x)","\frac{-\frac{2 \left(-\frac{\left(6 a^{2}+3 a b +2 b^{2}\right) b \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{2 \left(a -b \right) \left(a^{3}+3 a^{2} b +3 a \,b^{2}+b^{3}\right)}+\frac{2 \left(9 a^{2}+b^{2}\right) b \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{3 \left(a^{2}+2 a b +b^{2}\right) \left(a^{2}-2 a b +b^{2}\right)}-\frac{\left(6 a^{2}-3 a b +2 b^{2}\right) b \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{2 \left(a +b \right) \left(a^{3}-3 a^{2} b +3 a \,b^{2}-b^{3}\right)}\right)}{\left(\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b -a -b \right)^{3}}+\frac{a \left(2 a^{2}+3 b^{2}\right) \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{\left(a^{6}-3 a^{4} b^{2}+3 a^{2} b^{4}-b^{6}\right) \sqrt{\left(a +b \right) \left(a -b \right)}}}{d}"," ",0,"1/d*(-2*(-1/2*(6*a^2+3*a*b+2*b^2)*b/(a-b)/(a^3+3*a^2*b+3*a*b^2+b^3)*tanh(1/2*d*x+1/2*c)^5+2/3*(9*a^2+b^2)*b/(a^2+2*a*b+b^2)/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^3-1/2*(6*a^2-3*a*b+2*b^2)*b/(a+b)/(a^3-3*a^2*b+3*a*b^2-b^3)*tanh(1/2*d*x+1/2*c))/(tanh(1/2*d*x+1/2*c)^2*a-tanh(1/2*d*x+1/2*c)^2*b-a-b)^3+a*(2*a^2+3*b^2)/(a^6-3*a^4*b^2+3*a^2*b^4-b^6)/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*d*x+1/2*c)/((a+b)*(a-b))^(1/2)))","A"
71,1,18,17,0.063000," ","int(1/(3+5*cosh(d*x+c)),x)","\frac{\arctan \left(\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{2}\right)}{2 d}"," ",0,"1/2*arctan(1/2*tanh(1/2*d*x+1/2*c))/d","A"
72,1,48,41,0.069000," ","int(1/(3+5*cosh(d*x+c))^2,x)","\frac{5 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{16 d \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+4\right)}-\frac{3 \arctan \left(\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{2}\right)}{32 d}"," ",0,"5/16/d*tanh(1/2*d*x+1/2*c)/(tanh(1/2*d*x+1/2*c)^2+4)-3/32*arctan(1/2*tanh(1/2*d*x+1/2*c))/d","A"
73,1,79,64,0.072000," ","int(1/(3+5*cosh(d*x+c))^3,x)","-\frac{85 \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{512 d \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+4\right)^{2}}-\frac{35 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{128 d \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+4\right)^{2}}+\frac{43 \arctan \left(\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{2}\right)}{1024 d}"," ",0,"-85/512/d/(tanh(1/2*d*x+1/2*c)^2+4)^2*tanh(1/2*d*x+1/2*c)^3-35/128/d/(tanh(1/2*d*x+1/2*c)^2+4)^2*tanh(1/2*d*x+1/2*c)+43/1024*arctan(1/2*tanh(1/2*d*x+1/2*c))/d","A"
74,1,110,87,0.072000," ","int(1/(3+5*cosh(d*x+c))^4,x)","\frac{745 \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{8192 d \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+4\right)^{3}}+\frac{265 \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{768 d \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+4\right)^{3}}+\frac{295 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{512 d \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+4\right)^{3}}-\frac{279 \arctan \left(\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{2}\right)}{16384 d}"," ",0,"745/8192/d/(tanh(1/2*d*x+1/2*c)^2+4)^3*tanh(1/2*d*x+1/2*c)^5+265/768/d/(tanh(1/2*d*x+1/2*c)^2+4)^3*tanh(1/2*d*x+1/2*c)^3+295/512/d/(tanh(1/2*d*x+1/2*c)^2+4)^3*tanh(1/2*d*x+1/2*c)-279/16384*arctan(1/2*tanh(1/2*d*x+1/2*c))/d","A"
75,1,36,27,0.085000," ","int(1/(5+3*cosh(d*x+c)),x)","\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+2\right)}{4 d}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2\right)}{4 d}"," ",0,"1/4/d*ln(tanh(1/2*d*x+1/2*c)+2)-1/4/d*ln(tanh(1/2*d*x+1/2*c)-2)","A"
76,1,72,50,0.073000," ","int(1/(5+3*cosh(d*x+c))^2,x)","\frac{3}{32 d \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+2\right)}+\frac{5 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+2\right)}{64 d}+\frac{3}{32 d \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2\right)}-\frac{5 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2\right)}{64 d}"," ",0,"3/32/d/(tanh(1/2*d*x+1/2*c)+2)+5/64/d*ln(tanh(1/2*d*x+1/2*c)+2)+3/32/d/(tanh(1/2*d*x+1/2*c)-2)-5/64/d*ln(tanh(1/2*d*x+1/2*c)-2)","A"
77,1,108,73,0.072000," ","int(1/(5+3*cosh(d*x+c))^3,x)","-\frac{9}{512 d \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+2\right)^{2}}+\frac{69}{1024 d \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+2\right)}+\frac{59 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+2\right)}{2048 d}+\frac{9}{512 d \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2\right)^{2}}+\frac{69}{1024 d \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2\right)}-\frac{59 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2\right)}{2048 d}"," ",0,"-9/512/d/(tanh(1/2*d*x+1/2*c)+2)^2+69/1024/d/(tanh(1/2*d*x+1/2*c)+2)+59/2048/d*ln(tanh(1/2*d*x+1/2*c)+2)+9/512/d/(tanh(1/2*d*x+1/2*c)-2)^2+69/1024/d/(tanh(1/2*d*x+1/2*c)-2)-59/2048/d*ln(tanh(1/2*d*x+1/2*c)-2)","A"
78,1,144,96,0.084000," ","int(1/(5+3*cosh(d*x+c))^4,x)","\frac{9}{2048 d \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+2\right)^{3}}-\frac{81}{4096 d \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+2\right)^{2}}+\frac{639}{16384 d \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+2\right)}+\frac{385 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+2\right)}{32768 d}+\frac{9}{2048 d \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2\right)^{3}}+\frac{81}{4096 d \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2\right)^{2}}+\frac{639}{16384 d \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2\right)}-\frac{385 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2\right)}{32768 d}"," ",0,"9/2048/d/(tanh(1/2*d*x+1/2*c)+2)^3-81/4096/d/(tanh(1/2*d*x+1/2*c)+2)^2+639/16384/d/(tanh(1/2*d*x+1/2*c)+2)+385/32768/d*ln(tanh(1/2*d*x+1/2*c)+2)+9/2048/d/(tanh(1/2*d*x+1/2*c)-2)^3+81/4096/d/(tanh(1/2*d*x+1/2*c)-2)^2+639/16384/d/(tanh(1/2*d*x+1/2*c)-2)-385/32768/d*ln(tanh(1/2*d*x+1/2*c)-2)","A"
79,1,685,169,0.494000," ","int((a+b*cosh(x))^(5/2),x)","\frac{2 \left(24 \sqrt{-\frac{2 b}{a -b}}\, b^{3} \cosh \left(\frac{x}{2}\right) \left(\sinh^{6}\left(\frac{x}{2}\right)\right)+\left(56 \sqrt{-\frac{2 b}{a -b}}\, a \,b^{2}+24 \sqrt{-\frac{2 b}{a -b}}\, b^{3}\right) \left(\sinh^{4}\left(\frac{x}{2}\right)\right) \cosh \left(\frac{x}{2}\right)+\left(22 \sqrt{-\frac{2 b}{a -b}}\, a^{2} b +28 \sqrt{-\frac{2 b}{a -b}}\, a \,b^{2}+6 \sqrt{-\frac{2 b}{a -b}}\, b^{3}\right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right) \cosh \left(\frac{x}{2}\right)+15 a^{3} \sqrt{\frac{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}{a -b}+\frac{a +b}{a -b}}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticF \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{-\frac{2 \left(a -b \right)}{b}}}{2}\right)+23 a^{2} b \sqrt{\frac{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}{a -b}+\frac{a +b}{a -b}}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticF \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{-\frac{2 \left(a -b \right)}{b}}}{2}\right)+17 a \,b^{2} \sqrt{\frac{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}{a -b}+\frac{a +b}{a -b}}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticF \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{-\frac{2 \left(a -b \right)}{b}}}{2}\right)+9 b^{3} \sqrt{\frac{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}{a -b}+\frac{a +b}{a -b}}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticF \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{-\frac{2 \left(a -b \right)}{b}}}{2}\right)-46 \sqrt{\frac{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}{a -b}+\frac{a +b}{a -b}}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticE \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{-\frac{2 \left(a -b \right)}{b}}}{2}\right) a^{2} b -18 \sqrt{\frac{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}{a -b}+\frac{a +b}{a -b}}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticE \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{-\frac{2 \left(a -b \right)}{b}}}{2}\right) b^{3}\right) \sqrt{\left(2 b \left(\cosh^{2}\left(\frac{x}{2}\right)\right)+a -b \right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}}{15 \sqrt{-\frac{2 b}{a -b}}\, \sqrt{2 b \left(\sinh^{4}\left(\frac{x}{2}\right)\right)+\left(a +b \right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \sinh \left(\frac{x}{2}\right) \sqrt{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)+a +b}}"," ",0,"2/15*(24*(-2*b/(a-b))^(1/2)*b^3*cosh(1/2*x)*sinh(1/2*x)^6+(56*(-2*b/(a-b))^(1/2)*a*b^2+24*(-2*b/(a-b))^(1/2)*b^3)*sinh(1/2*x)^4*cosh(1/2*x)+(22*(-2*b/(a-b))^(1/2)*a^2*b+28*(-2*b/(a-b))^(1/2)*a*b^2+6*(-2*b/(a-b))^(1/2)*b^3)*sinh(1/2*x)^2*cosh(1/2*x)+15*a^3*(2*b/(a-b)*sinh(1/2*x)^2+(a+b)/(a-b))^(1/2)*(-sinh(1/2*x)^2)^(1/2)*EllipticF(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*(-2*(a-b)/b)^(1/2))+23*a^2*b*(2*b/(a-b)*sinh(1/2*x)^2+(a+b)/(a-b))^(1/2)*(-sinh(1/2*x)^2)^(1/2)*EllipticF(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*(-2*(a-b)/b)^(1/2))+17*a*b^2*(2*b/(a-b)*sinh(1/2*x)^2+(a+b)/(a-b))^(1/2)*(-sinh(1/2*x)^2)^(1/2)*EllipticF(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*(-2*(a-b)/b)^(1/2))+9*b^3*(2*b/(a-b)*sinh(1/2*x)^2+(a+b)/(a-b))^(1/2)*(-sinh(1/2*x)^2)^(1/2)*EllipticF(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*(-2*(a-b)/b)^(1/2))-46*(2*b/(a-b)*sinh(1/2*x)^2+(a+b)/(a-b))^(1/2)*(-sinh(1/2*x)^2)^(1/2)*EllipticE(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*(-2*(a-b)/b)^(1/2))*a^2*b-18*(2*b/(a-b)*sinh(1/2*x)^2+(a+b)/(a-b))^(1/2)*(-sinh(1/2*x)^2)^(1/2)*EllipticE(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*(-2*(a-b)/b)^(1/2))*b^3)*((2*b*cosh(1/2*x)^2+a-b)*sinh(1/2*x)^2)^(1/2)/(-2*b/(a-b))^(1/2)/(2*b*sinh(1/2*x)^4+(a+b)*sinh(1/2*x)^2)^(1/2)/sinh(1/2*x)/(2*b*sinh(1/2*x)^2+a+b)^(1/2)","B"
80,1,458,144,0.527000," ","int((a+b*cosh(x))^(3/2),x)","\frac{2 \left(4 \sqrt{-\frac{2 b}{a -b}}\, b^{2} \cosh \left(\frac{x}{2}\right) \left(\sinh^{4}\left(\frac{x}{2}\right)\right)+\left(2 \sqrt{-\frac{2 b}{a -b}}\, a b +2 \sqrt{-\frac{2 b}{a -b}}\, b^{2}\right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right) \cosh \left(\frac{x}{2}\right)+3 a^{2} \sqrt{\frac{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}{a -b}+\frac{a +b}{a -b}}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticF \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{-\frac{2 \left(a -b \right)}{b}}}{2}\right)+4 a b \sqrt{\frac{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}{a -b}+\frac{a +b}{a -b}}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticF \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{-\frac{2 \left(a -b \right)}{b}}}{2}\right)+b^{2} \sqrt{\frac{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}{a -b}+\frac{a +b}{a -b}}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticF \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{-\frac{2 \left(a -b \right)}{b}}}{2}\right)-8 \sqrt{\frac{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}{a -b}+\frac{a +b}{a -b}}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticE \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{-\frac{2 \left(a -b \right)}{b}}}{2}\right) a b \right) \sqrt{\left(2 b \left(\cosh^{2}\left(\frac{x}{2}\right)\right)+a -b \right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}}{3 \sqrt{-\frac{2 b}{a -b}}\, \sqrt{2 b \left(\sinh^{4}\left(\frac{x}{2}\right)\right)+\left(a +b \right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \sinh \left(\frac{x}{2}\right) \sqrt{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)+a +b}}"," ",0,"2/3*(4*(-2*b/(a-b))^(1/2)*b^2*cosh(1/2*x)*sinh(1/2*x)^4+(2*(-2*b/(a-b))^(1/2)*a*b+2*(-2*b/(a-b))^(1/2)*b^2)*sinh(1/2*x)^2*cosh(1/2*x)+3*a^2*(2*b/(a-b)*sinh(1/2*x)^2+(a+b)/(a-b))^(1/2)*(-sinh(1/2*x)^2)^(1/2)*EllipticF(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*(-2*(a-b)/b)^(1/2))+4*a*b*(2*b/(a-b)*sinh(1/2*x)^2+(a+b)/(a-b))^(1/2)*(-sinh(1/2*x)^2)^(1/2)*EllipticF(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*(-2*(a-b)/b)^(1/2))+b^2*(2*b/(a-b)*sinh(1/2*x)^2+(a+b)/(a-b))^(1/2)*(-sinh(1/2*x)^2)^(1/2)*EllipticF(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*(-2*(a-b)/b)^(1/2))-8*(2*b/(a-b)*sinh(1/2*x)^2+(a+b)/(a-b))^(1/2)*(-sinh(1/2*x)^2)^(1/2)*EllipticE(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*(-2*(a-b)/b)^(1/2))*a*b)*((2*b*cosh(1/2*x)^2+a-b)*sinh(1/2*x)^2)^(1/2)/(-2*b/(a-b))^(1/2)/(2*b*sinh(1/2*x)^4+(a+b)*sinh(1/2*x)^2)^(1/2)/sinh(1/2*x)/(2*b*sinh(1/2*x)^2+a+b)^(1/2)","B"
81,1,276,86,0.431000," ","int((a+b*cosh(d*x+c))^(1/2),x)","\frac{2 \left(a \EllipticF \left(\cosh \left(\frac{d x}{2}+\frac{c}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{-\frac{2 \left(a -b \right)}{b}}}{2}\right)+b \EllipticF \left(\cosh \left(\frac{d x}{2}+\frac{c}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{-\frac{2 \left(a -b \right)}{b}}}{2}\right)-2 b \EllipticE \left(\cosh \left(\frac{d x}{2}+\frac{c}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{-\frac{2 \left(a -b \right)}{b}}}{2}\right)\right) \sqrt{-\left(\sinh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}\, \sqrt{\frac{2 b \left(\cosh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+a -b}{a -b}}\, \sqrt{\left(2 b \left(\cosh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+a -b \right) \left(\sinh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}}{\sqrt{-\frac{2 b}{a -b}}\, \sqrt{2 b \left(\sinh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+\left(a +b \right) \left(\sinh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}\, \sinh \left(\frac{d x}{2}+\frac{c}{2}\right) \sqrt{2 b \left(\sinh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+a +b}\, d}"," ",0,"2*(a*EllipticF(cosh(1/2*d*x+1/2*c)*(-2*b/(a-b))^(1/2),1/2*(-2*(a-b)/b)^(1/2))+b*EllipticF(cosh(1/2*d*x+1/2*c)*(-2*b/(a-b))^(1/2),1/2*(-2*(a-b)/b)^(1/2))-2*b*EllipticE(cosh(1/2*d*x+1/2*c)*(-2*b/(a-b))^(1/2),1/2*(-2*(a-b)/b)^(1/2)))*(-sinh(1/2*d*x+1/2*c)^2)^(1/2)*((2*b*cosh(1/2*d*x+1/2*c)^2+a-b)/(a-b))^(1/2)*((2*b*cosh(1/2*d*x+1/2*c)^2+a-b)*sinh(1/2*d*x+1/2*c)^2)^(1/2)/(-2*b/(a-b))^(1/2)/(2*b*sinh(1/2*d*x+1/2*c)^4+(a+b)*sinh(1/2*d*x+1/2*c)^2)^(1/2)/sinh(1/2*d*x+1/2*c)/(2*b*sinh(1/2*d*x+1/2*c)^2+a+b)^(1/2)/d","B"
82,1,146,60,0.358000," ","int(1/(a+b*cosh(x))^(1/2),x)","\frac{2 \sqrt{\left(2 b \left(\cosh^{2}\left(\frac{x}{2}\right)\right)+a -b \right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \sqrt{\frac{2 b \left(\cosh^{2}\left(\frac{x}{2}\right)\right)+a -b}{a -b}}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticF \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{-\frac{2 \left(a -b \right)}{b}}}{2}\right)}{\sqrt{-\frac{2 b}{a -b}}\, \sqrt{2 b \left(\sinh^{4}\left(\frac{x}{2}\right)\right)+\left(a +b \right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \sinh \left(\frac{x}{2}\right) \sqrt{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)+a +b}}"," ",0,"2*((2*b*cosh(1/2*x)^2+a-b)*sinh(1/2*x)^2)^(1/2)/(-2*b/(a-b))^(1/2)*((2*b*cosh(1/2*x)^2+a-b)/(a-b))^(1/2)*(-sinh(1/2*x)^2)^(1/2)/(2*b*sinh(1/2*x)^4+(a+b)*sinh(1/2*x)^2)^(1/2)*EllipticF(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*(-2*(a-b)/b)^(1/2))/sinh(1/2*x)/(2*b*sinh(1/2*x)^2+a+b)^(1/2)","B"
83,1,296,96,0.498000," ","int(1/(a+b*cosh(x))^(3/2),x)","\frac{-4 \sqrt{-\frac{2 b}{a -b}}\, b \cosh \left(\frac{x}{2}\right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)+2 \EllipticF \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{-\frac{2 \left(a -b \right)}{b}}}{2}\right) \sqrt{\frac{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}{a -b}+\frac{a +b}{a -b}}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, a +2 \EllipticF \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{-\frac{2 \left(a -b \right)}{b}}}{2}\right) \sqrt{\frac{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}{a -b}+\frac{a +b}{a -b}}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, b -4 \EllipticE \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{-\frac{2 \left(a -b \right)}{b}}}{2}\right) \sqrt{\frac{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}{a -b}+\frac{a +b}{a -b}}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, b}{\sqrt{-\frac{2 b}{a -b}}\, \left(a -b \right) \left(a +b \right) \sinh \left(\frac{x}{2}\right) \sqrt{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)+a +b}}"," ",0,"2*(-2*(-2*b/(a-b))^(1/2)*b*cosh(1/2*x)*sinh(1/2*x)^2+EllipticF(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*(-2*(a-b)/b)^(1/2))*(2*b/(a-b)*sinh(1/2*x)^2+(a+b)/(a-b))^(1/2)*(-sinh(1/2*x)^2)^(1/2)*a+EllipticF(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*(-2*(a-b)/b)^(1/2))*(2*b/(a-b)*sinh(1/2*x)^2+(a+b)/(a-b))^(1/2)*(-sinh(1/2*x)^2)^(1/2)*b-2*EllipticE(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*(-2*(a-b)/b)^(1/2))*(2*b/(a-b)*sinh(1/2*x)^2+(a+b)/(a-b))^(1/2)*(-sinh(1/2*x)^2)^(1/2)*b)/(-2*b/(a-b))^(1/2)/(a-b)/(a+b)/sinh(1/2*x)/(2*b*sinh(1/2*x)^2+a+b)^(1/2)","B"
84,1,459,193,0.842000," ","int(1/(a+b*cosh(x))^(5/2),x)","\frac{\sqrt{\left(2 b \left(\cosh^{2}\left(\frac{x}{2}\right)\right)+a -b \right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \left(-\frac{\cosh \left(\frac{x}{2}\right) \sqrt{2 b \left(\sinh^{4}\left(\frac{x}{2}\right)\right)+\left(a +b \right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}}{3 b \left(a -b \right) \left(a +b \right) \left(\cosh^{2}\left(\frac{x}{2}\right)+\frac{a -b}{2 b}\right)^{2}}-\frac{16 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right) \cosh \left(\frac{x}{2}\right) a}{3 \left(a -b \right)^{2} \left(a +b \right)^{2} \sqrt{\left(2 b \left(\cosh^{2}\left(\frac{x}{2}\right)\right)+a -b \right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}}+\frac{2 \left(3 a -b \right) \sqrt{\frac{2 b \left(\cosh^{2}\left(\frac{x}{2}\right)\right)+a -b}{a -b}}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticF \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{\frac{-2 a +2 b}{b}}}{2}\right)}{\left(3 a^{3}+3 a^{2} b -3 a \,b^{2}-3 b^{3}\right) \sqrt{-\frac{2 b}{a -b}}\, \sqrt{2 b \left(\sinh^{4}\left(\frac{x}{2}\right)\right)+\left(a +b \right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}}-\frac{32 a b \left(-a +b \right) \sqrt{\frac{2 b \left(\cosh^{2}\left(\frac{x}{2}\right)\right)+a -b}{a -b}}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \left(\EllipticF \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{\frac{-2 a +2 b}{b}}}{2}\right)-\EllipticE \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{\frac{-2 a +2 b}{b}}}{2}\right)\right)}{3 \left(a +b \right)^{2} \left(a -b \right)^{2} \sqrt{-\frac{2 b}{a -b}}\, \sqrt{2 b \left(\sinh^{4}\left(\frac{x}{2}\right)\right)+\left(a +b \right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \left(2 a -2 b \right)}\right)}{\sinh \left(\frac{x}{2}\right) \sqrt{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)+a +b}}"," ",0,"((2*b*cosh(1/2*x)^2+a-b)*sinh(1/2*x)^2)^(1/2)*(-1/3/b/(a-b)/(a+b)*cosh(1/2*x)*(2*b*sinh(1/2*x)^4+(a+b)*sinh(1/2*x)^2)^(1/2)/(cosh(1/2*x)^2+1/2*(a-b)/b)^2-16/3*b*sinh(1/2*x)^2/(a-b)^2/(a+b)^2*cosh(1/2*x)*a/((2*b*cosh(1/2*x)^2+a-b)*sinh(1/2*x)^2)^(1/2)+2*(3*a-b)/(3*a^3+3*a^2*b-3*a*b^2-3*b^3)/(-2*b/(a-b))^(1/2)*((2*b*cosh(1/2*x)^2+a-b)/(a-b))^(1/2)*(-sinh(1/2*x)^2)^(1/2)/(2*b*sinh(1/2*x)^4+(a+b)*sinh(1/2*x)^2)^(1/2)*EllipticF(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*((-2*a+2*b)/b)^(1/2))-32/3*a*b/(a+b)^2/(a-b)^2*(-a+b)/(-2*b/(a-b))^(1/2)*((2*b*cosh(1/2*x)^2+a-b)/(a-b))^(1/2)*(-sinh(1/2*x)^2)^(1/2)/(2*b*sinh(1/2*x)^4+(a+b)*sinh(1/2*x)^2)^(1/2)/(2*a-2*b)*(EllipticF(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*((-2*a+2*b)/b)^(1/2))-EllipticE(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*((-2*a+2*b)/b)^(1/2))))/sinh(1/2*x)/(2*b*sinh(1/2*x)^2+a+b)^(1/2)","B"
85,1,566,239,1.115000," ","int(1/(a+b*cosh(x))^(7/2),x)","\frac{\sqrt{\left(2 b \left(\cosh^{2}\left(\frac{x}{2}\right)\right)+a -b \right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \left(-\frac{\cosh \left(\frac{x}{2}\right) \sqrt{2 b \left(\sinh^{4}\left(\frac{x}{2}\right)\right)+\left(a +b \right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}}{10 b^{2} \left(a -b \right) \left(a +b \right) \left(\cosh^{2}\left(\frac{x}{2}\right)+\frac{a -b}{2 b}\right)^{3}}-\frac{8 a \cosh \left(\frac{x}{2}\right) \sqrt{2 b \left(\sinh^{4}\left(\frac{x}{2}\right)\right)+\left(a +b \right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}}{15 b \left(a +b \right)^{2} \left(a -b \right)^{2} \left(\cosh^{2}\left(\frac{x}{2}\right)+\frac{a -b}{2 b}\right)^{2}}-\frac{4 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right) \cosh \left(\frac{x}{2}\right) \left(23 a^{2}+9 b^{2}\right)}{15 \left(a -b \right)^{3} \left(a +b \right)^{3} \sqrt{\left(2 b \left(\cosh^{2}\left(\frac{x}{2}\right)\right)+a -b \right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}}+\frac{2 \left(15 a^{2}-8 a b +9 b^{2}\right) \sqrt{\frac{2 b \left(\cosh^{2}\left(\frac{x}{2}\right)\right)+a -b}{a -b}}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticF \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{\frac{-2 a +2 b}{b}}}{2}\right)}{\left(15 a^{5}+15 a^{4} b -30 a^{3} b^{2}-30 a^{2} b^{3}+15 a \,b^{4}+15 b^{5}\right) \sqrt{-\frac{2 b}{a -b}}\, \sqrt{2 b \left(\sinh^{4}\left(\frac{x}{2}\right)\right)+\left(a +b \right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}}-\frac{8 b \left(23 a^{2}+9 b^{2}\right) \left(-a +b \right) \sqrt{\frac{2 b \left(\cosh^{2}\left(\frac{x}{2}\right)\right)+a -b}{a -b}}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \left(\EllipticF \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{\frac{-2 a +2 b}{b}}}{2}\right)-\EllipticE \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{\frac{-2 a +2 b}{b}}}{2}\right)\right)}{15 \left(a +b \right)^{3} \left(a -b \right)^{3} \sqrt{-\frac{2 b}{a -b}}\, \sqrt{2 b \left(\sinh^{4}\left(\frac{x}{2}\right)\right)+\left(a +b \right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \left(2 a -2 b \right)}\right)}{\sinh \left(\frac{x}{2}\right) \sqrt{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)+a +b}}"," ",0,"((2*b*cosh(1/2*x)^2+a-b)*sinh(1/2*x)^2)^(1/2)*(-1/10/b^2/(a-b)/(a+b)*cosh(1/2*x)*(2*b*sinh(1/2*x)^4+(a+b)*sinh(1/2*x)^2)^(1/2)/(cosh(1/2*x)^2+1/2*(a-b)/b)^3-8/15*a/b/(a+b)^2/(a-b)^2*cosh(1/2*x)*(2*b*sinh(1/2*x)^4+(a+b)*sinh(1/2*x)^2)^(1/2)/(cosh(1/2*x)^2+1/2*(a-b)/b)^2-4/15*b*sinh(1/2*x)^2/(a-b)^3/(a+b)^3*cosh(1/2*x)*(23*a^2+9*b^2)/((2*b*cosh(1/2*x)^2+a-b)*sinh(1/2*x)^2)^(1/2)+2*(15*a^2-8*a*b+9*b^2)/(15*a^5+15*a^4*b-30*a^3*b^2-30*a^2*b^3+15*a*b^4+15*b^5)/(-2*b/(a-b))^(1/2)*((2*b*cosh(1/2*x)^2+a-b)/(a-b))^(1/2)*(-sinh(1/2*x)^2)^(1/2)/(2*b*sinh(1/2*x)^4+(a+b)*sinh(1/2*x)^2)^(1/2)*EllipticF(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*((-2*a+2*b)/b)^(1/2))-8/15*b*(23*a^2+9*b^2)/(a+b)^3/(a-b)^3*(-a+b)/(-2*b/(a-b))^(1/2)*((2*b*cosh(1/2*x)^2+a-b)/(a-b))^(1/2)*(-sinh(1/2*x)^2)^(1/2)/(2*b*sinh(1/2*x)^4+(a+b)*sinh(1/2*x)^2)^(1/2)/(2*a-2*b)*(EllipticF(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*((-2*a+2*b)/b)^(1/2))-EllipticE(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*((-2*a+2*b)/b)^(1/2))))/sinh(1/2*x)/(2*b*sinh(1/2*x)^2+a+b)^(1/2)","B"
86,1,181,128,0.422000," ","int(cosh(x)/(a+b*cosh(x))^(1/2),x)","\frac{2 \left(\EllipticF \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{-\frac{2 \left(a -b \right)}{b}}}{2}\right)-2 \EllipticE \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{-\frac{2 \left(a -b \right)}{b}}}{2}\right)\right) \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \sqrt{\frac{2 b \left(\cosh^{2}\left(\frac{x}{2}\right)\right)+a -b}{a -b}}\, \sqrt{\left(2 b \left(\cosh^{2}\left(\frac{x}{2}\right)\right)+a -b \right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}}{\sqrt{-\frac{2 b}{a -b}}\, \sqrt{2 b \left(\sinh^{4}\left(\frac{x}{2}\right)\right)+\left(a +b \right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \sinh \left(\frac{x}{2}\right) \sqrt{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)+a +b}}"," ",0,"2*(EllipticF(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*(-2*(a-b)/b)^(1/2))-2*EllipticE(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*(-2*(a-b)/b)^(1/2)))*(-sinh(1/2*x)^2)^(1/2)*((2*b*cosh(1/2*x)^2+a-b)/(a-b))^(1/2)*((2*b*cosh(1/2*x)^2+a-b)*sinh(1/2*x)^2)^(1/2)/(-2*b/(a-b))^(1/2)/(2*b*sinh(1/2*x)^4+(a+b)*sinh(1/2*x)^2)^(1/2)/sinh(1/2*x)/(2*b*sinh(1/2*x)^2+a+b)^(1/2)","A"
87,1,71,78,0.224000," ","int((a+a*cosh(x))^(5/2)*(A+B*cosh(x)),x)","\frac{8 \cosh \left(\frac{x}{2}\right) a^{3} \sinh \left(\frac{x}{2}\right) \left(30 B \left(\sinh^{6}\left(\frac{x}{2}\right)\right)+\left(21 A +105 B \right) \left(\sinh^{4}\left(\frac{x}{2}\right)\right)+\left(70 A +140 B \right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)+105 A +105 B \right) \sqrt{2}}{105 \sqrt{a \left(\cosh^{2}\left(\frac{x}{2}\right)\right)}}"," ",0,"8/105*cosh(1/2*x)*a^3*sinh(1/2*x)*(30*B*sinh(1/2*x)^6+(21*A+105*B)*sinh(1/2*x)^4+(70*A+140*B)*sinh(1/2*x)^2+105*A+105*B)*2^(1/2)/(a*cosh(1/2*x)^2)^(1/2)","A"
88,1,57,56,0.205000," ","int((a+a*cosh(x))^(3/2)*(A+B*cosh(x)),x)","\frac{4 \cosh \left(\frac{x}{2}\right) a^{2} \sinh \left(\frac{x}{2}\right) \left(6 B \left(\sinh^{4}\left(\frac{x}{2}\right)\right)+\left(5 A +15 B \right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)+15 A +15 B \right) \sqrt{2}}{15 \sqrt{a \left(\cosh^{2}\left(\frac{x}{2}\right)\right)}}"," ",0,"4/15*cosh(1/2*x)*a^2*sinh(1/2*x)*(6*B*sinh(1/2*x)^4+(5*A+15*B)*sinh(1/2*x)^2+15*A+15*B)*2^(1/2)/(a*cosh(1/2*x)^2)^(1/2)","A"
89,1,39,32,0.234000," ","int((a+a*cosh(x))^(1/2)*(A+B*cosh(x)),x)","\frac{2 \cosh \left(\frac{x}{2}\right) a \sinh \left(\frac{x}{2}\right) \left(2 B \left(\cosh^{2}\left(\frac{x}{2}\right)\right)+3 A +B \right) \sqrt{2}}{3 \sqrt{a \left(\cosh^{2}\left(\frac{x}{2}\right)\right)}}"," ",0,"2/3*cosh(1/2*x)*a*sinh(1/2*x)*(2*B*cosh(1/2*x)^2+3*A+B)*2^(1/2)/(a*cosh(1/2*x)^2)^(1/2)","A"
90,1,69,82,0.261000," ","int((a-a*cosh(x))^(5/2)*(A+B*cosh(x)),x)","-\frac{16 \sinh \left(\frac{x}{2}\right) a^{3} \cosh \left(\frac{x}{2}\right) \left(30 B \left(\sinh^{6}\left(\frac{x}{2}\right)\right)+\left(21 A -15 B \right) \left(\sinh^{4}\left(\frac{x}{2}\right)\right)+\left(-28 A +20 B \right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)+56 A -40 B \right)}{105 \sqrt{-2 a \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}}"," ",0,"-16/105*sinh(1/2*x)*a^3*cosh(1/2*x)*(30*B*sinh(1/2*x)^6+(21*A-15*B)*sinh(1/2*x)^4+(-28*A+20*B)*sinh(1/2*x)^2+56*A-40*B)/(-2*a*sinh(1/2*x)^2)^(1/2)","A"
91,1,55,59,0.316000," ","int((a-a*cosh(x))^(3/2)*(A+B*cosh(x)),x)","\frac{8 \sinh \left(\frac{x}{2}\right) a^{2} \cosh \left(\frac{x}{2}\right) \left(6 B \left(\sinh^{4}\left(\frac{x}{2}\right)\right)+\left(5 A -3 B \right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)-10 A +6 B \right)}{15 \sqrt{-2 a \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}}"," ",0,"8/15*sinh(1/2*x)*a^2*cosh(1/2*x)*(6*B*sinh(1/2*x)^4+(5*A-3*B)*sinh(1/2*x)^2-10*A+6*B)/(-2*a*sinh(1/2*x)^2)^(1/2)","A"
92,1,39,36,0.270000," ","int((a-a*cosh(x))^(1/2)*(A+B*cosh(x)),x)","-\frac{4 \sinh \left(\frac{x}{2}\right) a \cosh \left(\frac{x}{2}\right) \left(2 B \left(\cosh^{2}\left(\frac{x}{2}\right)\right)+3 A -3 B \right)}{3 \sqrt{-2 a \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}}"," ",0,"-4/3*sinh(1/2*x)*a*cosh(1/2*x)*(2*B*cosh(1/2*x)^2+3*A-3*B)/(-2*a*sinh(1/2*x)^2)^(1/2)","A"
93,1,34,18,0.043000," ","int((A+B*cosh(x))/(1+cosh(x)),x)","A \tanh \left(\frac{x}{2}\right)-B \tanh \left(\frac{x}{2}\right)-B \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)+B \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)"," ",0,"A*tanh(1/2*x)-B*tanh(1/2*x)-B*ln(tanh(1/2*x)-1)+B*ln(tanh(1/2*x)+1)","A"
94,1,34,31,0.044000," ","int((A+B*cosh(x))/(1+cosh(x))^2,x)","-\frac{A \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{6}+\frac{B \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{6}+\frac{A \tanh \left(\frac{x}{2}\right)}{2}+\frac{B \tanh \left(\frac{x}{2}\right)}{2}"," ",0,"-1/6*A*tanh(1/2*x)^3+1/6*B*tanh(1/2*x)^3+1/2*A*tanh(1/2*x)+1/2*B*tanh(1/2*x)","A"
95,1,38,50,0.040000," ","int((A+B*cosh(x))/(1+cosh(x))^3,x)","\frac{\left(A -B \right) \left(\tanh^{5}\left(\frac{x}{2}\right)\right)}{20}-\frac{A \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{6}+\frac{A \tanh \left(\frac{x}{2}\right)}{4}+\frac{B \tanh \left(\frac{x}{2}\right)}{4}"," ",0,"1/20*(A-B)*tanh(1/2*x)^5-1/6*A*tanh(1/2*x)^3+1/4*A*tanh(1/2*x)+1/4*B*tanh(1/2*x)","A"
96,1,55,67,0.040000," ","int((A+B*cosh(x))/(1+cosh(x))^4,x)","-\frac{\left(A -B \right) \left(\tanh^{7}\left(\frac{x}{2}\right)\right)}{56}-\frac{\left(-3 A +B \right) \left(\tanh^{5}\left(\frac{x}{2}\right)\right)}{40}-\frac{\left(3 A +B \right) \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{24}+\frac{A \tanh \left(\frac{x}{2}\right)}{8}+\frac{B \tanh \left(\frac{x}{2}\right)}{8}"," ",0,"-1/56*(A-B)*tanh(1/2*x)^7-1/40*(-3*A+B)*tanh(1/2*x)^5-1/24*(3*A+B)*tanh(1/2*x)^3+1/8*A*tanh(1/2*x)+1/8*B*tanh(1/2*x)","A"
97,1,37,20,0.059000," ","int((A+B*cosh(x))/(1-cosh(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{A}{\tanh \left(\frac{x}{2}\right)}+\frac{B}{\tanh \left(\frac{x}{2}\right)}"," ",0,"B*ln(tanh(1/2*x)-1)-B*ln(tanh(1/2*x)+1)+1/tanh(1/2*x)*A+1/tanh(1/2*x)*B","A"
98,1,26,33,0.059000," ","int((A+B*cosh(x))/(1-cosh(x))^2,x)","-\frac{A +B}{6 \tanh \left(\frac{x}{2}\right)^{3}}-\frac{-A +B}{2 \tanh \left(\frac{x}{2}\right)}"," ",0,"-1/6*(A+B)/tanh(1/2*x)^3-1/2*(-A+B)/tanh(1/2*x)","A"
99,1,39,54,0.061000," ","int((A+B*cosh(x))/(1-cosh(x))^3,x)","-\frac{A}{6 \tanh \left(\frac{x}{2}\right)^{3}}-\frac{-A +B}{4 \tanh \left(\frac{x}{2}\right)}-\frac{-A -B}{20 \tanh \left(\frac{x}{2}\right)^{5}}"," ",0,"-1/6*A/tanh(1/2*x)^3-1/4*(-A+B)/tanh(1/2*x)-1/20*(-A-B)/tanh(1/2*x)^5","A"
100,1,56,73,0.062000," ","int((A+B*cosh(x))/(1-cosh(x))^4,x)","-\frac{A +B}{56 \tanh \left(\frac{x}{2}\right)^{7}}-\frac{3 A -B}{24 \tanh \left(\frac{x}{2}\right)^{3}}-\frac{-A +B}{8 \tanh \left(\frac{x}{2}\right)}-\frac{-3 A -B}{40 \tanh \left(\frac{x}{2}\right)^{5}}"," ",0,"-1/56*(A+B)/tanh(1/2*x)^7-1/24*(3*A-B)/tanh(1/2*x)^3-1/8*(-A+B)/tanh(1/2*x)-1/40*(-3*A-B)/tanh(1/2*x)^5","A"
101,1,128,45,0.321000," ","int((A+B*cosh(x))/(a+a*cosh(x))^(1/2),x)","-\frac{\cosh \left(\frac{x}{2}\right) \sqrt{a \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \left(\ln \left(\frac{2 \sqrt{a \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \sqrt{-a}-2 a}{\cosh \left(\frac{x}{2}\right)}\right) a A -2 B \sqrt{a \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \sqrt{-a}-\ln \left(\frac{2 \sqrt{a \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \sqrt{-a}-2 a}{\cosh \left(\frac{x}{2}\right)}\right) a B \right) \sqrt{2}}{a \sqrt{-a}\, \sinh \left(\frac{x}{2}\right) \sqrt{a \left(\cosh^{2}\left(\frac{x}{2}\right)\right)}}"," ",0,"-cosh(1/2*x)*(a*sinh(1/2*x)^2)^(1/2)*(ln(2/cosh(1/2*x)*((a*sinh(1/2*x)^2)^(1/2)*(-a)^(1/2)-a))*a*A-2*B*(a*sinh(1/2*x)^2)^(1/2)*(-a)^(1/2)-ln(2/cosh(1/2*x)*((a*sinh(1/2*x)^2)^(1/2)*(-a)^(1/2)-a))*a*B)/a/(-a)^(1/2)/sinh(1/2*x)*2^(1/2)/(a*cosh(1/2*x)^2)^(1/2)","B"
102,1,159,50,0.331000," ","int((A+B*cosh(x))/(a+a*cosh(x))^(3/2),x)","-\frac{\sqrt{a \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \left(A \ln \left(\frac{2 \sqrt{a \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \sqrt{-a}-2 a}{\cosh \left(\frac{x}{2}\right)}\right) \left(\cosh^{2}\left(\frac{x}{2}\right)\right) a +3 B \ln \left(\frac{2 \sqrt{a \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \sqrt{-a}-2 a}{\cosh \left(\frac{x}{2}\right)}\right) a \left(\cosh^{2}\left(\frac{x}{2}\right)\right)-A \sqrt{a \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \sqrt{-a}+B \sqrt{a \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \sqrt{-a}\right) \sqrt{2}}{4 \cosh \left(\frac{x}{2}\right) a^{2} \sqrt{-a}\, \sinh \left(\frac{x}{2}\right) \sqrt{a \left(\cosh^{2}\left(\frac{x}{2}\right)\right)}}"," ",0,"-1/4*(a*sinh(1/2*x)^2)^(1/2)*(A*ln(2/cosh(1/2*x)*((a*sinh(1/2*x)^2)^(1/2)*(-a)^(1/2)-a))*cosh(1/2*x)^2*a+3*B*ln(2/cosh(1/2*x)*((a*sinh(1/2*x)^2)^(1/2)*(-a)^(1/2)-a))*a*cosh(1/2*x)^2-A*(a*sinh(1/2*x)^2)^(1/2)*(-a)^(1/2)+B*(a*sinh(1/2*x)^2)^(1/2)*(-a)^(1/2))/cosh(1/2*x)/a^2/(-a)^(1/2)/sinh(1/2*x)*2^(1/2)/(a*cosh(1/2*x)^2)^(1/2)","B"
103,1,209,74,0.406000," ","int((A+B*cosh(x))/(a+a*cosh(x))^(5/2),x)","-\frac{\sqrt{a \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \left(3 A \ln \left(\frac{2 \sqrt{a \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \sqrt{-a}-2 a}{\cosh \left(\frac{x}{2}\right)}\right) \left(\cosh^{4}\left(\frac{x}{2}\right)\right) a +5 B \ln \left(\frac{2 \sqrt{a \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \sqrt{-a}-2 a}{\cosh \left(\frac{x}{2}\right)}\right) \left(\cosh^{4}\left(\frac{x}{2}\right)\right) a -3 A \sqrt{a \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \sqrt{-a}\, \left(\cosh^{2}\left(\frac{x}{2}\right)\right)-5 B \sqrt{a \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \sqrt{-a}\, \left(\cosh^{2}\left(\frac{x}{2}\right)\right)-2 A \sqrt{a \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \sqrt{-a}+2 B \sqrt{a \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \sqrt{-a}\right) \sqrt{2}}{32 \cosh \left(\frac{x}{2}\right)^{3} a^{3} \sqrt{-a}\, \sinh \left(\frac{x}{2}\right) \sqrt{a \left(\cosh^{2}\left(\frac{x}{2}\right)\right)}}"," ",0,"-1/32*(a*sinh(1/2*x)^2)^(1/2)*(3*A*ln(2/cosh(1/2*x)*((a*sinh(1/2*x)^2)^(1/2)*(-a)^(1/2)-a))*cosh(1/2*x)^4*a+5*B*ln(2/cosh(1/2*x)*((a*sinh(1/2*x)^2)^(1/2)*(-a)^(1/2)-a))*cosh(1/2*x)^4*a-3*A*(a*sinh(1/2*x)^2)^(1/2)*(-a)^(1/2)*cosh(1/2*x)^2-5*B*(a*sinh(1/2*x)^2)^(1/2)*(-a)^(1/2)*cosh(1/2*x)^2-2*A*(a*sinh(1/2*x)^2)^(1/2)*(-a)^(1/2)+2*B*(a*sinh(1/2*x)^2)^(1/2)*(-a)^(1/2))/cosh(1/2*x)^3/a^3/(-a)^(1/2)/sinh(1/2*x)*2^(1/2)/(a*cosh(1/2*x)^2)^(1/2)","B"
104,1,63,46,0.370000," ","int((A+B*cosh(x))/(a-a*cosh(x))^(1/2),x)","\frac{\sinh \left(\frac{x}{2}\right) \left(\ln \left(-1+\cosh \left(\frac{x}{2}\right)\right) A -\ln \left(\cosh \left(\frac{x}{2}\right)+1\right) A +B \ln \left(-1+\cosh \left(\frac{x}{2}\right)\right)-B \ln \left(\cosh \left(\frac{x}{2}\right)+1\right)+4 B \cosh \left(\frac{x}{2}\right)\right)}{\sqrt{-2 a \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}}"," ",0,"sinh(1/2*x)*(ln(-1+cosh(1/2*x))*A-ln(cosh(1/2*x)+1)*A+B*ln(-1+cosh(1/2*x))-B*ln(cosh(1/2*x)+1)+4*B*cosh(1/2*x))/(-2*a*sinh(1/2*x)^2)^(1/2)","A"
105,1,83,50,0.342000," ","int((A+B*cosh(x))/(a-a*cosh(x))^(3/2),x)","\frac{\cosh \left(\frac{x}{2}\right) \left(2 A +2 B \right)+\left(\ln \left(-1+\cosh \left(\frac{x}{2}\right)\right) A -\ln \left(\cosh \left(\frac{x}{2}\right)+1\right) A -3 B \ln \left(-1+\cosh \left(\frac{x}{2}\right)\right)+3 B \ln \left(\cosh \left(\frac{x}{2}\right)+1\right)\right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}{4 a \sinh \left(\frac{x}{2}\right) \sqrt{-2 a \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}}"," ",0,"1/4/a*(cosh(1/2*x)*(2*A+2*B)+(ln(-1+cosh(1/2*x))*A-ln(cosh(1/2*x)+1)*A-3*B*ln(-1+cosh(1/2*x))+3*B*ln(cosh(1/2*x)+1))*sinh(1/2*x)^2)/sinh(1/2*x)/(-2*a*sinh(1/2*x)^2)^(1/2)","A"
106,1,118,75,0.351000," ","int((A+B*cosh(x))/(a-a*cosh(x))^(5/2),x)","\frac{\left(6 A -10 B \right) \cosh \left(\frac{x}{2}\right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)+\left(-4 A -4 B \right) \cosh \left(\frac{x}{2}\right)+\left(3 \ln \left(-1+\cosh \left(\frac{x}{2}\right)\right) A -3 \ln \left(\cosh \left(\frac{x}{2}\right)+1\right) A -5 B \ln \left(-1+\cosh \left(\frac{x}{2}\right)\right)+5 B \ln \left(\cosh \left(\frac{x}{2}\right)+1\right)\right) \left(\sinh^{4}\left(\frac{x}{2}\right)\right)}{32 a^{2} \left(\cosh \left(\frac{x}{2}\right)+1\right) \left(-1+\cosh \left(\frac{x}{2}\right)\right) \sinh \left(\frac{x}{2}\right) \sqrt{-2 a \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}}"," ",0,"1/32/a^2*((6*A-10*B)*cosh(1/2*x)*sinh(1/2*x)^2+(-4*A-4*B)*cosh(1/2*x)+(3*ln(-1+cosh(1/2*x))*A-3*ln(cosh(1/2*x)+1)*A-5*B*ln(-1+cosh(1/2*x))+5*B*ln(cosh(1/2*x)+1))*sinh(1/2*x)^4)/(cosh(1/2*x)+1)/(-1+cosh(1/2*x))/sinh(1/2*x)/(-2*a*sinh(1/2*x)^2)^(1/2)","A"
107,1,1365,245,0.553000," ","int((a+b*cosh(x))^(5/2)*(A+B*cosh(x)),x)","\frac{2 \left(240 B \sqrt{-\frac{2 b}{a -b}}\, b^{3} \cosh \left(\frac{x}{2}\right) \left(\sinh^{8}\left(\frac{x}{2}\right)\right)+\left(168 A \sqrt{-\frac{2 b}{a -b}}\, b^{3}+480 B \sqrt{-\frac{2 b}{a -b}}\, a \,b^{2}+360 B \sqrt{-\frac{2 b}{a -b}}\, b^{3}\right) \left(\sinh^{6}\left(\frac{x}{2}\right)\right) \cosh \left(\frac{x}{2}\right)+\left(392 A \sqrt{-\frac{2 b}{a -b}}\, a \,b^{2}+168 A \sqrt{-\frac{2 b}{a -b}}\, b^{3}+360 B \sqrt{-\frac{2 b}{a -b}}\, a^{2} b +480 B \sqrt{-\frac{2 b}{a -b}}\, a \,b^{2}+280 B \sqrt{-\frac{2 b}{a -b}}\, b^{3}\right) \left(\sinh^{4}\left(\frac{x}{2}\right)\right) \cosh \left(\frac{x}{2}\right)+\left(154 A \sqrt{-\frac{2 b}{a -b}}\, a^{2} b +196 A \sqrt{-\frac{2 b}{a -b}}\, a \,b^{2}+42 A \sqrt{-\frac{2 b}{a -b}}\, b^{3}+90 B \sqrt{-\frac{2 b}{a -b}}\, a^{3}+180 B \sqrt{-\frac{2 b}{a -b}}\, a^{2} b +170 B \sqrt{-\frac{2 b}{a -b}}\, a \,b^{2}+80 B \sqrt{-\frac{2 b}{a -b}}\, b^{3}\right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right) \cosh \left(\frac{x}{2}\right)+105 a^{3} A \sqrt{\frac{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}{a -b}+\frac{a +b}{a -b}}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticF \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{-\frac{2 \left(a -b \right)}{b}}}{2}\right)+161 A \,a^{2} b \sqrt{\frac{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}{a -b}+\frac{a +b}{a -b}}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticF \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{-\frac{2 \left(a -b \right)}{b}}}{2}\right)+119 A a \,b^{2} \sqrt{\frac{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}{a -b}+\frac{a +b}{a -b}}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticF \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{-\frac{2 \left(a -b \right)}{b}}}{2}\right)+63 A \,b^{3} \sqrt{\frac{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}{a -b}+\frac{a +b}{a -b}}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticF \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{-\frac{2 \left(a -b \right)}{b}}}{2}\right)-322 A \sqrt{\frac{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}{a -b}+\frac{a +b}{a -b}}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticE \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{-\frac{2 \left(a -b \right)}{b}}}{2}\right) a^{2} b -126 A \sqrt{\frac{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}{a -b}+\frac{a +b}{a -b}}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticE \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{-\frac{2 \left(a -b \right)}{b}}}{2}\right) b^{3}+15 a^{3} B \sqrt{\frac{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}{a -b}+\frac{a +b}{a -b}}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticF \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{-\frac{2 \left(a -b \right)}{b}}}{2}\right)+135 B \,a^{2} b \sqrt{\frac{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}{a -b}+\frac{a +b}{a -b}}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticF \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{-\frac{2 \left(a -b \right)}{b}}}{2}\right)+145 B a \,b^{2} \sqrt{\frac{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}{a -b}+\frac{a +b}{a -b}}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticF \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{-\frac{2 \left(a -b \right)}{b}}}{2}\right)+25 B \,b^{3} \sqrt{\frac{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}{a -b}+\frac{a +b}{a -b}}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticF \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{-\frac{2 \left(a -b \right)}{b}}}{2}\right)-30 B \sqrt{\frac{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}{a -b}+\frac{a +b}{a -b}}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticE \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{-\frac{2 \left(a -b \right)}{b}}}{2}\right) a^{3}-290 B \sqrt{\frac{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}{a -b}+\frac{a +b}{a -b}}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticE \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{-\frac{2 \left(a -b \right)}{b}}}{2}\right) a \,b^{2}\right) \sqrt{\left(2 b \left(\cosh^{2}\left(\frac{x}{2}\right)\right)+a -b \right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}}{105 \sqrt{-\frac{2 b}{a -b}}\, \sqrt{2 b \left(\sinh^{4}\left(\frac{x}{2}\right)\right)+\left(a +b \right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \sinh \left(\frac{x}{2}\right) \sqrt{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)+a +b}}"," ",0,"2/105*(240*B*(-2*b/(a-b))^(1/2)*b^3*cosh(1/2*x)*sinh(1/2*x)^8+(168*A*(-2*b/(a-b))^(1/2)*b^3+480*B*(-2*b/(a-b))^(1/2)*a*b^2+360*B*(-2*b/(a-b))^(1/2)*b^3)*sinh(1/2*x)^6*cosh(1/2*x)+(392*A*(-2*b/(a-b))^(1/2)*a*b^2+168*A*(-2*b/(a-b))^(1/2)*b^3+360*B*(-2*b/(a-b))^(1/2)*a^2*b+480*B*(-2*b/(a-b))^(1/2)*a*b^2+280*B*(-2*b/(a-b))^(1/2)*b^3)*sinh(1/2*x)^4*cosh(1/2*x)+(154*A*(-2*b/(a-b))^(1/2)*a^2*b+196*A*(-2*b/(a-b))^(1/2)*a*b^2+42*A*(-2*b/(a-b))^(1/2)*b^3+90*B*(-2*b/(a-b))^(1/2)*a^3+180*B*(-2*b/(a-b))^(1/2)*a^2*b+170*B*(-2*b/(a-b))^(1/2)*a*b^2+80*B*(-2*b/(a-b))^(1/2)*b^3)*sinh(1/2*x)^2*cosh(1/2*x)+105*a^3*A*(2*b/(a-b)*sinh(1/2*x)^2+(a+b)/(a-b))^(1/2)*(-sinh(1/2*x)^2)^(1/2)*EllipticF(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*(-2*(a-b)/b)^(1/2))+161*A*a^2*b*(2*b/(a-b)*sinh(1/2*x)^2+(a+b)/(a-b))^(1/2)*(-sinh(1/2*x)^2)^(1/2)*EllipticF(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*(-2*(a-b)/b)^(1/2))+119*A*a*b^2*(2*b/(a-b)*sinh(1/2*x)^2+(a+b)/(a-b))^(1/2)*(-sinh(1/2*x)^2)^(1/2)*EllipticF(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*(-2*(a-b)/b)^(1/2))+63*A*b^3*(2*b/(a-b)*sinh(1/2*x)^2+(a+b)/(a-b))^(1/2)*(-sinh(1/2*x)^2)^(1/2)*EllipticF(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*(-2*(a-b)/b)^(1/2))-322*A*(2*b/(a-b)*sinh(1/2*x)^2+(a+b)/(a-b))^(1/2)*(-sinh(1/2*x)^2)^(1/2)*EllipticE(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*(-2*(a-b)/b)^(1/2))*a^2*b-126*A*(2*b/(a-b)*sinh(1/2*x)^2+(a+b)/(a-b))^(1/2)*(-sinh(1/2*x)^2)^(1/2)*EllipticE(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*(-2*(a-b)/b)^(1/2))*b^3+15*a^3*B*(2*b/(a-b)*sinh(1/2*x)^2+(a+b)/(a-b))^(1/2)*(-sinh(1/2*x)^2)^(1/2)*EllipticF(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*(-2*(a-b)/b)^(1/2))+135*B*a^2*b*(2*b/(a-b)*sinh(1/2*x)^2+(a+b)/(a-b))^(1/2)*(-sinh(1/2*x)^2)^(1/2)*EllipticF(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*(-2*(a-b)/b)^(1/2))+145*B*a*b^2*(2*b/(a-b)*sinh(1/2*x)^2+(a+b)/(a-b))^(1/2)*(-sinh(1/2*x)^2)^(1/2)*EllipticF(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*(-2*(a-b)/b)^(1/2))+25*B*b^3*(2*b/(a-b)*sinh(1/2*x)^2+(a+b)/(a-b))^(1/2)*(-sinh(1/2*x)^2)^(1/2)*EllipticF(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*(-2*(a-b)/b)^(1/2))-30*B*(2*b/(a-b)*sinh(1/2*x)^2+(a+b)/(a-b))^(1/2)*(-sinh(1/2*x)^2)^(1/2)*EllipticE(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*(-2*(a-b)/b)^(1/2))*a^3-290*B*(2*b/(a-b)*sinh(1/2*x)^2+(a+b)/(a-b))^(1/2)*(-sinh(1/2*x)^2)^(1/2)*EllipticE(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*(-2*(a-b)/b)^(1/2))*a*b^2)*((2*b*cosh(1/2*x)^2+a-b)*sinh(1/2*x)^2)^(1/2)/(-2*b/(a-b))^(1/2)/(2*b*sinh(1/2*x)^4+(a+b)*sinh(1/2*x)^2)^(1/2)/sinh(1/2*x)/(2*b*sinh(1/2*x)^2+a+b)^(1/2)","B"
108,1,973,197,0.578000," ","int((a+b*cosh(x))^(3/2)*(A+B*cosh(x)),x)","\frac{2 \left(24 B \sqrt{-\frac{2 b}{a -b}}\, b^{2} \cosh \left(\frac{x}{2}\right) \left(\sinh^{6}\left(\frac{x}{2}\right)\right)+\left(20 A \sqrt{-\frac{2 b}{a -b}}\, b^{2}+36 B \sqrt{-\frac{2 b}{a -b}}\, a b +24 B \sqrt{-\frac{2 b}{a -b}}\, b^{2}\right) \left(\sinh^{4}\left(\frac{x}{2}\right)\right) \cosh \left(\frac{x}{2}\right)+\left(10 A \sqrt{-\frac{2 b}{a -b}}\, a b +10 A \sqrt{-\frac{2 b}{a -b}}\, b^{2}+12 B \sqrt{-\frac{2 b}{a -b}}\, a^{2}+18 B \sqrt{-\frac{2 b}{a -b}}\, a b +6 B \sqrt{-\frac{2 b}{a -b}}\, b^{2}\right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right) \cosh \left(\frac{x}{2}\right)+15 a^{2} A \sqrt{\frac{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}{a -b}+\frac{a +b}{a -b}}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticF \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{-\frac{2 \left(a -b \right)}{b}}}{2}\right)+20 A a b \sqrt{\frac{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}{a -b}+\frac{a +b}{a -b}}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticF \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{-\frac{2 \left(a -b \right)}{b}}}{2}\right)+5 A \,b^{2} \sqrt{\frac{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}{a -b}+\frac{a +b}{a -b}}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticF \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{-\frac{2 \left(a -b \right)}{b}}}{2}\right)-40 A \sqrt{\frac{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}{a -b}+\frac{a +b}{a -b}}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticE \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{-\frac{2 \left(a -b \right)}{b}}}{2}\right) a b +3 B \,a^{2} \sqrt{\frac{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}{a -b}+\frac{a +b}{a -b}}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticF \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{-\frac{2 \left(a -b \right)}{b}}}{2}\right)+12 b B a \sqrt{\frac{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}{a -b}+\frac{a +b}{a -b}}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticF \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{-\frac{2 \left(a -b \right)}{b}}}{2}\right)+9 B \,b^{2} \sqrt{\frac{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}{a -b}+\frac{a +b}{a -b}}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticF \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{-\frac{2 \left(a -b \right)}{b}}}{2}\right)-6 B \sqrt{\frac{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}{a -b}+\frac{a +b}{a -b}}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticE \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{-\frac{2 \left(a -b \right)}{b}}}{2}\right) a^{2}-18 B \sqrt{\frac{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}{a -b}+\frac{a +b}{a -b}}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticE \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{-\frac{2 \left(a -b \right)}{b}}}{2}\right) b^{2}\right) \sqrt{\left(2 b \left(\cosh^{2}\left(\frac{x}{2}\right)\right)+a -b \right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}}{15 \sqrt{-\frac{2 b}{a -b}}\, \sqrt{2 b \left(\sinh^{4}\left(\frac{x}{2}\right)\right)+\left(a +b \right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \sinh \left(\frac{x}{2}\right) \sqrt{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)+a +b}}"," ",0,"2/15*(24*B*(-2*b/(a-b))^(1/2)*b^2*cosh(1/2*x)*sinh(1/2*x)^6+(20*A*(-2*b/(a-b))^(1/2)*b^2+36*B*(-2*b/(a-b))^(1/2)*a*b+24*B*(-2*b/(a-b))^(1/2)*b^2)*sinh(1/2*x)^4*cosh(1/2*x)+(10*A*(-2*b/(a-b))^(1/2)*a*b+10*A*(-2*b/(a-b))^(1/2)*b^2+12*B*(-2*b/(a-b))^(1/2)*a^2+18*B*(-2*b/(a-b))^(1/2)*a*b+6*B*(-2*b/(a-b))^(1/2)*b^2)*sinh(1/2*x)^2*cosh(1/2*x)+15*a^2*A*(2*b/(a-b)*sinh(1/2*x)^2+(a+b)/(a-b))^(1/2)*(-sinh(1/2*x)^2)^(1/2)*EllipticF(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*(-2*(a-b)/b)^(1/2))+20*A*a*b*(2*b/(a-b)*sinh(1/2*x)^2+(a+b)/(a-b))^(1/2)*(-sinh(1/2*x)^2)^(1/2)*EllipticF(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*(-2*(a-b)/b)^(1/2))+5*A*b^2*(2*b/(a-b)*sinh(1/2*x)^2+(a+b)/(a-b))^(1/2)*(-sinh(1/2*x)^2)^(1/2)*EllipticF(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*(-2*(a-b)/b)^(1/2))-40*A*(2*b/(a-b)*sinh(1/2*x)^2+(a+b)/(a-b))^(1/2)*(-sinh(1/2*x)^2)^(1/2)*EllipticE(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*(-2*(a-b)/b)^(1/2))*a*b+3*B*a^2*(2*b/(a-b)*sinh(1/2*x)^2+(a+b)/(a-b))^(1/2)*(-sinh(1/2*x)^2)^(1/2)*EllipticF(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*(-2*(a-b)/b)^(1/2))+12*b*B*a*(2*b/(a-b)*sinh(1/2*x)^2+(a+b)/(a-b))^(1/2)*(-sinh(1/2*x)^2)^(1/2)*EllipticF(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*(-2*(a-b)/b)^(1/2))+9*B*b^2*(2*b/(a-b)*sinh(1/2*x)^2+(a+b)/(a-b))^(1/2)*(-sinh(1/2*x)^2)^(1/2)*EllipticF(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*(-2*(a-b)/b)^(1/2))-6*B*(2*b/(a-b)*sinh(1/2*x)^2+(a+b)/(a-b))^(1/2)*(-sinh(1/2*x)^2)^(1/2)*EllipticE(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*(-2*(a-b)/b)^(1/2))*a^2-18*B*(2*b/(a-b)*sinh(1/2*x)^2+(a+b)/(a-b))^(1/2)*(-sinh(1/2*x)^2)^(1/2)*EllipticE(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*(-2*(a-b)/b)^(1/2))*b^2)*((2*b*cosh(1/2*x)^2+a-b)*sinh(1/2*x)^2)^(1/2)/(-2*b/(a-b))^(1/2)/(2*b*sinh(1/2*x)^4+(a+b)*sinh(1/2*x)^2)^(1/2)/sinh(1/2*x)/(2*b*sinh(1/2*x)^2+a+b)^(1/2)","B"
109,1,605,158,0.525000," ","int((a+b*cosh(x))^(1/2)*(A+B*cosh(x)),x)","\frac{2 \left(4 B \sqrt{-\frac{2 b}{a -b}}\, b \cosh \left(\frac{x}{2}\right) \left(\sinh^{4}\left(\frac{x}{2}\right)\right)+\left(2 B \sqrt{-\frac{2 b}{a -b}}\, a +2 B \sqrt{-\frac{2 b}{a -b}}\, b \right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right) \cosh \left(\frac{x}{2}\right)+3 A a \sqrt{\frac{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}{a -b}+\frac{a +b}{a -b}}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticF \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{-\frac{2 \left(a -b \right)}{b}}}{2}\right)+3 A b \sqrt{\frac{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}{a -b}+\frac{a +b}{a -b}}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticF \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{-\frac{2 \left(a -b \right)}{b}}}{2}\right)-6 A \sqrt{\frac{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}{a -b}+\frac{a +b}{a -b}}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticE \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{-\frac{2 \left(a -b \right)}{b}}}{2}\right) b +a B \sqrt{\frac{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}{a -b}+\frac{a +b}{a -b}}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticF \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{-\frac{2 \left(a -b \right)}{b}}}{2}\right)+b B \sqrt{\frac{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}{a -b}+\frac{a +b}{a -b}}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticF \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{-\frac{2 \left(a -b \right)}{b}}}{2}\right)-2 B \sqrt{\frac{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}{a -b}+\frac{a +b}{a -b}}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticE \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{-\frac{2 \left(a -b \right)}{b}}}{2}\right) a \right) \sqrt{\left(2 b \left(\cosh^{2}\left(\frac{x}{2}\right)\right)+a -b \right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}}{3 \sqrt{-\frac{2 b}{a -b}}\, \sqrt{2 b \left(\sinh^{4}\left(\frac{x}{2}\right)\right)+\left(a +b \right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \sinh \left(\frac{x}{2}\right) \sqrt{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)+a +b}}"," ",0,"2/3*(4*B*(-2*b/(a-b))^(1/2)*b*cosh(1/2*x)*sinh(1/2*x)^4+(2*B*(-2*b/(a-b))^(1/2)*a+2*B*(-2*b/(a-b))^(1/2)*b)*sinh(1/2*x)^2*cosh(1/2*x)+3*A*a*(2*b/(a-b)*sinh(1/2*x)^2+(a+b)/(a-b))^(1/2)*(-sinh(1/2*x)^2)^(1/2)*EllipticF(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*(-2*(a-b)/b)^(1/2))+3*A*b*(2*b/(a-b)*sinh(1/2*x)^2+(a+b)/(a-b))^(1/2)*(-sinh(1/2*x)^2)^(1/2)*EllipticF(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*(-2*(a-b)/b)^(1/2))-6*A*(2*b/(a-b)*sinh(1/2*x)^2+(a+b)/(a-b))^(1/2)*(-sinh(1/2*x)^2)^(1/2)*EllipticE(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*(-2*(a-b)/b)^(1/2))*b+a*B*(2*b/(a-b)*sinh(1/2*x)^2+(a+b)/(a-b))^(1/2)*(-sinh(1/2*x)^2)^(1/2)*EllipticF(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*(-2*(a-b)/b)^(1/2))+b*B*(2*b/(a-b)*sinh(1/2*x)^2+(a+b)/(a-b))^(1/2)*(-sinh(1/2*x)^2)^(1/2)*EllipticF(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*(-2*(a-b)/b)^(1/2))-2*B*(2*b/(a-b)*sinh(1/2*x)^2+(a+b)/(a-b))^(1/2)*(-sinh(1/2*x)^2)^(1/2)*EllipticE(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*(-2*(a-b)/b)^(1/2))*a)*((2*b*cosh(1/2*x)^2+a-b)*sinh(1/2*x)^2)^(1/2)/(-2*b/(a-b))^(1/2)/(2*b*sinh(1/2*x)^4+(a+b)*sinh(1/2*x)^2)^(1/2)/sinh(1/2*x)/(2*b*sinh(1/2*x)^2+a+b)^(1/2)","B"
110,1,103,50,0.062000," ","int((A+B*cosh(x))/(a+b*cosh(x)),x)","-\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}+\frac{2 \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right) A}{\sqrt{\left(a +b \right) \left(a -b \right)}}-\frac{2 \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right) a B}{b \sqrt{\left(a +b \right) \left(a -b \right)}}"," ",0,"-B/b*ln(tanh(1/2*x)-1)+B/b*ln(tanh(1/2*x)+1)+2/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))*A-2/b/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))*a*B","B"
111,1,108,72,0.065000," ","int((A+B*cosh(x))/(a+b*cosh(x))^2,x)","\frac{2 \left(A b -a B \right) \tanh \left(\frac{x}{2}\right)}{\left(a^{2}-b^{2}\right) \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -a -b \right)}+\frac{2 \left(A a -B b \right) \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{\left(a +b \right) \left(a -b \right) \sqrt{\left(a +b \right) \left(a -b \right)}}"," ",0,"2*(A*b-B*a)/(a^2-b^2)*tanh(1/2*x)/(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-a-b)+2*(A*a-B*b)/(a+b)/(a-b)/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))","A"
112,1,207,121,0.069000," ","int((A+B*cosh(x))/(a+b*cosh(x))^3,x)","-\frac{2 \left(-\frac{\left(4 A a b +A \,b^{2}-2 B \,a^{2}-b B a -2 B \,b^{2}\right) \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{2 \left(a -b \right) \left(a^{2}+2 a b +b^{2}\right)}+\frac{\left(4 A a b -A \,b^{2}-2 B \,a^{2}+b B a -2 B \,b^{2}\right) \tanh \left(\frac{x}{2}\right)}{2 \left(a +b \right) \left(a^{2}-2 a b +b^{2}\right)}\right)}{\left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -a -b \right)^{2}}+\frac{\left(2 a^{2} A +A \,b^{2}-3 b B a \right) \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{\left(a^{4}-2 a^{2} b^{2}+b^{4}\right) \sqrt{\left(a +b \right) \left(a -b \right)}}"," ",0,"-2*(-1/2*(4*A*a*b+A*b^2-2*B*a^2-B*a*b-2*B*b^2)/(a-b)/(a^2+2*a*b+b^2)*tanh(1/2*x)^3+1/2*(4*A*a*b-A*b^2-2*B*a^2+B*a*b-2*B*b^2)/(a+b)/(a^2-2*a*b+b^2)*tanh(1/2*x))/(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-a-b)^2+(2*A*a^2+A*b^2-3*B*a*b)/(a^4-2*a^2*b^2+b^4)/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))","A"
113,1,342,181,0.076000," ","int((A+B*cosh(x))/(a+b*cosh(x))^4,x)","-\frac{2 \left(-\frac{\left(6 A \,a^{2} b +3 A a \,b^{2}+2 A \,b^{3}-2 a^{3} B -2 B \,a^{2} b -6 B a \,b^{2}-B \,b^{3}\right) \left(\tanh^{5}\left(\frac{x}{2}\right)\right)}{2 \left(a -b \right) \left(a^{3}+3 a^{2} b +3 a \,b^{2}+b^{3}\right)}+\frac{2 \left(9 A \,a^{2} b +A \,b^{3}-3 a^{3} B -7 B a \,b^{2}\right) \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{3 \left(a^{2}+2 a b +b^{2}\right) \left(a^{2}-2 a b +b^{2}\right)}-\frac{\left(6 A \,a^{2} b -3 A a \,b^{2}+2 A \,b^{3}-2 a^{3} B +2 B \,a^{2} b -6 B a \,b^{2}+B \,b^{3}\right) \tanh \left(\frac{x}{2}\right)}{2 \left(a +b \right) \left(a^{3}-3 a^{2} b +3 a \,b^{2}-b^{3}\right)}\right)}{\left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -a -b \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{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{\left(a^{6}-3 a^{4} b^{2}+3 a^{2} b^{4}-b^{6}\right) \sqrt{\left(a +b \right) \left(a -b \right)}}"," ",0,"-2*(-1/2*(6*A*a^2*b+3*A*a*b^2+2*A*b^3-2*B*a^3-2*B*a^2*b-6*B*a*b^2-B*b^3)/(a-b)/(a^3+3*a^2*b+3*a*b^2+b^3)*tanh(1/2*x)^5+2/3*(9*A*a^2*b+A*b^3-3*B*a^3-7*B*a*b^2)/(a^2+2*a*b+b^2)/(a^2-2*a*b+b^2)*tanh(1/2*x)^3-1/2*(6*A*a^2*b-3*A*a*b^2+2*A*b^3-2*B*a^3+2*B*a^2*b-6*B*a*b^2+B*b^3)/(a+b)/(a^3-3*a^2*b+3*a*b^2-b^3)*tanh(1/2*x))/(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-a-b)^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+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))","A"
114,1,107,46,0.067000," ","int((b*B/a+B*cosh(x))/(a+b*cosh(x)),x)","-\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}-\frac{2 \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right) a B}{b \sqrt{\left(a +b \right) \left(a -b \right)}}+\frac{2 B b \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{a \sqrt{\left(a +b \right) \left(a -b \right)}}"," ",0,"-B/b*ln(tanh(1/2*x)-1)+B/b*ln(tanh(1/2*x)+1)-2/b/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))*a*B+2*B/a*b/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))","B"
115,1,7,6,0.006000," ","int((a*B/b+B*cosh(x))/(a+b*cosh(x)),x)","\frac{B x}{b}"," ",0,"B*x/b","A"
116,1,29,11,0.056000," ","int((a+b*cosh(x))/(b+a*cosh(x))^2,x)","\frac{2 \tanh \left(\frac{x}{2}\right)}{a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b +a +b}"," ",0,"2*tanh(1/2*x)/(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b+a+b)","B"
117,1,32,30,0.063000," ","int((3+cosh(x))/(2-cosh(x)),x)","\frac{10 \sqrt{3}\, \arctanh \left(\tanh \left(\frac{x}{2}\right) \sqrt{3}\right)}{3}+\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)-\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)"," ",0,"10/3*3^(1/2)*arctanh(tanh(1/2*x)*3^(1/2))+ln(tanh(1/2*x)-1)-ln(tanh(1/2*x)+1)","A"
118,1,218,136,0.458000," ","int((A+B*cosh(x))/(a+b*cosh(x))^(1/2),x)","\frac{2 \left(A \EllipticF \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{-\frac{2 \left(a -b \right)}{b}}}{2}\right)+B \EllipticF \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{-\frac{2 \left(a -b \right)}{b}}}{2}\right)-2 B \EllipticE \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{-\frac{2 \left(a -b \right)}{b}}}{2}\right)\right) \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \sqrt{\frac{2 b \left(\cosh^{2}\left(\frac{x}{2}\right)\right)+a -b}{a -b}}\, \sqrt{\left(2 b \left(\cosh^{2}\left(\frac{x}{2}\right)\right)+a -b \right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}}{\sqrt{-\frac{2 b}{a -b}}\, \sqrt{2 b \left(\sinh^{4}\left(\frac{x}{2}\right)\right)+\left(a +b \right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \sinh \left(\frac{x}{2}\right) \sqrt{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)+a +b}}"," ",0,"2*(A*EllipticF(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*(-2*(a-b)/b)^(1/2))+B*EllipticF(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*(-2*(a-b)/b)^(1/2))-2*B*EllipticE(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*(-2*(a-b)/b)^(1/2)))*(-sinh(1/2*x)^2)^(1/2)*((2*b*cosh(1/2*x)^2+a-b)/(a-b))^(1/2)*((2*b*cosh(1/2*x)^2+a-b)*sinh(1/2*x)^2)^(1/2)/(-2*b/(a-b))^(1/2)/(2*b*sinh(1/2*x)^4+(a+b)*sinh(1/2*x)^2)^(1/2)/sinh(1/2*x)/(2*b*sinh(1/2*x)^2+a+b)^(1/2)","A"
119,1,483,178,1.046000," ","int((A+B*cosh(x))/(a+b*cosh(x))^(3/2),x)","\frac{\sqrt{\left(2 b \left(\cosh^{2}\left(\frac{x}{2}\right)\right)+a -b \right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \left(\frac{2 B \sqrt{\frac{2 b \left(\cosh^{2}\left(\frac{x}{2}\right)\right)+a -b}{a -b}}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticF \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{\frac{-2 a +2 b}{b}}}{2}\right)}{b \sqrt{-\frac{2 b}{a -b}}\, \sqrt{2 b \left(\sinh^{4}\left(\frac{x}{2}\right)\right)+\left(a +b \right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}}+\frac{2 \left(A b -a B \right) \sqrt{2 b \left(\sinh^{4}\left(\frac{x}{2}\right)\right)+\left(a +b \right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \left(-2 \sqrt{-\frac{2 b}{a -b}}\, b \cosh \left(\frac{x}{2}\right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)+\sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticF \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{\frac{-2 a +2 b}{b}}}{2}\right) \sqrt{\frac{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}{a -b}+\frac{a +b}{a -b}}\, a +\sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticF \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{\frac{-2 a +2 b}{b}}}{2}\right) \sqrt{\frac{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}{a -b}+\frac{a +b}{a -b}}\, b -2 \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticE \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{\frac{-2 a +2 b}{b}}}{2}\right) \sqrt{\frac{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}{a -b}+\frac{a +b}{a -b}}\, b \right)}{b \sinh \left(\frac{x}{2}\right)^{2} \left(2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)+a +b \right) \sqrt{-\frac{2 b}{a -b}}\, \left(a^{2}-b^{2}\right)}\right)}{\sinh \left(\frac{x}{2}\right) \sqrt{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)+a +b}}"," ",0,"((2*b*cosh(1/2*x)^2+a-b)*sinh(1/2*x)^2)^(1/2)*(2*B/b/(-2*b/(a-b))^(1/2)*((2*b*cosh(1/2*x)^2+a-b)/(a-b))^(1/2)*(-sinh(1/2*x)^2)^(1/2)/(2*b*sinh(1/2*x)^4+(a+b)*sinh(1/2*x)^2)^(1/2)*EllipticF(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*((-2*a+2*b)/b)^(1/2))+2*(A*b-B*a)/b/sinh(1/2*x)^2/(2*b*sinh(1/2*x)^2+a+b)/(-2*b/(a-b))^(1/2)/(a^2-b^2)*(2*b*sinh(1/2*x)^4+(a+b)*sinh(1/2*x)^2)^(1/2)*(-2*(-2*b/(a-b))^(1/2)*b*cosh(1/2*x)*sinh(1/2*x)^2+(-sinh(1/2*x)^2)^(1/2)*EllipticF(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*((-2*a+2*b)/b)^(1/2))*(2*b/(a-b)*sinh(1/2*x)^2+(a+b)/(a-b))^(1/2)*a+(-sinh(1/2*x)^2)^(1/2)*EllipticF(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*((-2*a+2*b)/b)^(1/2))*(2*b/(a-b)*sinh(1/2*x)^2+(a+b)/(a-b))^(1/2)*b-2*(-sinh(1/2*x)^2)^(1/2)*EllipticE(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*((-2*a+2*b)/b)^(1/2))*(2*b/(a-b)*sinh(1/2*x)^2+(a+b)/(a-b))^(1/2)*b))/sinh(1/2*x)/(2*b*sinh(1/2*x)^2+a+b)^(1/2)","B"
120,1,797,247,1.551000," ","int((A+B*cosh(x))/(a+b*cosh(x))^(5/2),x)","\frac{\sqrt{\left(2 b \left(\cosh^{2}\left(\frac{x}{2}\right)\right)+a -b \right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \left(\frac{2 \left(A b -a B \right) \left(-\frac{\cosh \left(\frac{x}{2}\right) \sqrt{2 b \left(\sinh^{4}\left(\frac{x}{2}\right)\right)+\left(a +b \right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}}{6 b \left(a -b \right) \left(a +b \right) \left(\cosh^{2}\left(\frac{x}{2}\right)+\frac{a -b}{2 b}\right)^{2}}-\frac{8 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right) \cosh \left(\frac{x}{2}\right) a}{3 \left(a -b \right)^{2} \left(a +b \right)^{2} \sqrt{\left(2 b \left(\cosh^{2}\left(\frac{x}{2}\right)\right)+a -b \right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}}+\frac{\left(3 a -b \right) \sqrt{\frac{2 b \left(\cosh^{2}\left(\frac{x}{2}\right)\right)+a -b}{a -b}}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticF \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{\frac{-2 a +2 b}{b}}}{2}\right)}{\left(3 a^{3}+3 a^{2} b -3 a \,b^{2}-3 b^{3}\right) \sqrt{-\frac{2 b}{a -b}}\, \sqrt{2 b \left(\sinh^{4}\left(\frac{x}{2}\right)\right)+\left(a +b \right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}}-\frac{16 a b \left(-a +b \right) \sqrt{\frac{2 b \left(\cosh^{2}\left(\frac{x}{2}\right)\right)+a -b}{a -b}}\, \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \left(\EllipticF \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{\frac{-2 a +2 b}{b}}}{2}\right)-\EllipticE \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{\frac{-2 a +2 b}{b}}}{2}\right)\right)}{3 \left(a +b \right)^{2} \left(a -b \right)^{2} \sqrt{-\frac{2 b}{a -b}}\, \sqrt{2 b \left(\sinh^{4}\left(\frac{x}{2}\right)\right)+\left(a +b \right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \left(2 a -2 b \right)}\right)}{b}-\frac{2 B \sqrt{2 b \left(\sinh^{4}\left(\frac{x}{2}\right)\right)+\left(a +b \right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \left(2 \sqrt{-\frac{2 b}{a -b}}\, b \cosh \left(\frac{x}{2}\right) \left(\sinh^{2}\left(\frac{x}{2}\right)\right)-\sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticF \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{\frac{-2 a +2 b}{b}}}{2}\right) \sqrt{\frac{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}{a -b}+\frac{a +b}{a -b}}\, a -\sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticF \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{\frac{-2 a +2 b}{b}}}{2}\right) \sqrt{\frac{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}{a -b}+\frac{a +b}{a -b}}\, b +2 \sqrt{-\left(\sinh^{2}\left(\frac{x}{2}\right)\right)}\, \EllipticE \left(\cosh \left(\frac{x}{2}\right) \sqrt{-\frac{2 b}{a -b}}, \frac{\sqrt{\frac{-2 a +2 b}{b}}}{2}\right) \sqrt{\frac{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)}{a -b}+\frac{a +b}{a -b}}\, b \right)}{b \sqrt{-\frac{2 b}{a -b}}\, \sinh \left(\frac{x}{2}\right)^{2} \left(2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)+a +b \right) \left(a^{2}-b^{2}\right)}\right)}{\sinh \left(\frac{x}{2}\right) \sqrt{2 b \left(\sinh^{2}\left(\frac{x}{2}\right)\right)+a +b}}"," ",0,"((2*b*cosh(1/2*x)^2+a-b)*sinh(1/2*x)^2)^(1/2)*(2*(A*b-B*a)/b*(-1/6/b/(a-b)/(a+b)*cosh(1/2*x)*(2*b*sinh(1/2*x)^4+(a+b)*sinh(1/2*x)^2)^(1/2)/(cosh(1/2*x)^2+1/2*(a-b)/b)^2-8/3*b*sinh(1/2*x)^2/(a-b)^2/(a+b)^2*cosh(1/2*x)*a/((2*b*cosh(1/2*x)^2+a-b)*sinh(1/2*x)^2)^(1/2)+(3*a-b)/(3*a^3+3*a^2*b-3*a*b^2-3*b^3)/(-2*b/(a-b))^(1/2)*((2*b*cosh(1/2*x)^2+a-b)/(a-b))^(1/2)*(-sinh(1/2*x)^2)^(1/2)/(2*b*sinh(1/2*x)^4+(a+b)*sinh(1/2*x)^2)^(1/2)*EllipticF(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*((-2*a+2*b)/b)^(1/2))-16/3*a*b/(a+b)^2/(a-b)^2*(-a+b)/(-2*b/(a-b))^(1/2)*((2*b*cosh(1/2*x)^2+a-b)/(a-b))^(1/2)*(-sinh(1/2*x)^2)^(1/2)/(2*b*sinh(1/2*x)^4+(a+b)*sinh(1/2*x)^2)^(1/2)/(2*a-2*b)*(EllipticF(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*((-2*a+2*b)/b)^(1/2))-EllipticE(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*((-2*a+2*b)/b)^(1/2))))-2*B/b/(-2*b/(a-b))^(1/2)/sinh(1/2*x)^2/(2*b*sinh(1/2*x)^2+a+b)/(a^2-b^2)*(2*b*sinh(1/2*x)^4+(a+b)*sinh(1/2*x)^2)^(1/2)*(2*(-2*b/(a-b))^(1/2)*b*cosh(1/2*x)*sinh(1/2*x)^2-(-sinh(1/2*x)^2)^(1/2)*EllipticF(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*((-2*a+2*b)/b)^(1/2))*(2*b/(a-b)*sinh(1/2*x)^2+(a+b)/(a-b))^(1/2)*a-(-sinh(1/2*x)^2)^(1/2)*EllipticF(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*((-2*a+2*b)/b)^(1/2))*(2*b/(a-b)*sinh(1/2*x)^2+(a+b)/(a-b))^(1/2)*b+2*(-sinh(1/2*x)^2)^(1/2)*EllipticE(cosh(1/2*x)*(-2*b/(a-b))^(1/2),1/2*((-2*a+2*b)/b)^(1/2))*(2*b/(a-b)*sinh(1/2*x)^2+(a+b)/(a-b))^(1/2)*b))/sinh(1/2*x)/(2*b*sinh(1/2*x)^2+a+b)^(1/2)","B"
121,1,38,56,0.164000," ","int((a*cosh(x)^2)^(7/2),x)","\frac{a^{4} \cosh \left(x \right) \sinh \left(x \right) \left(5 \left(\cosh^{6}\left(x \right)\right)+6 \left(\cosh^{4}\left(x \right)\right)+8 \left(\cosh^{2}\left(x \right)\right)+16\right)}{35 \sqrt{a \left(\cosh^{2}\left(x \right)\right)}}"," ",0,"1/35*a^4*cosh(x)*sinh(x)*(5*cosh(x)^6+6*cosh(x)^4+8*cosh(x)^2+16)/(a*cosh(x)^2)^(1/2)","A"
122,1,32,41,0.177000," ","int((a*cosh(x)^2)^(5/2),x)","\frac{a^{3} \cosh \left(x \right) \sinh \left(x \right) \left(3 \left(\cosh^{4}\left(x \right)\right)+4 \left(\cosh^{2}\left(x \right)\right)+8\right)}{15 \sqrt{a \left(\cosh^{2}\left(x \right)\right)}}"," ",0,"1/15*a^3*cosh(x)*sinh(x)*(3*cosh(x)^4+4*cosh(x)^2+8)/(a*cosh(x)^2)^(1/2)","A"
123,1,24,26,0.178000," ","int((a*cosh(x)^2)^(3/2),x)","\frac{a^{2} \cosh \left(x \right) \sinh \left(x \right) \left(\cosh^{2}\left(x \right)+2\right)}{3 \sqrt{a \left(\cosh^{2}\left(x \right)\right)}}"," ",0,"1/3*a^2*cosh(x)*sinh(x)*(cosh(x)^2+2)/(a*cosh(x)^2)^(1/2)","A"
124,1,15,11,0.146000," ","int((a*cosh(x)^2)^(1/2),x)","\frac{a \cosh \left(x \right) \sinh \left(x \right)}{\sqrt{a \left(\cosh^{2}\left(x \right)\right)}}"," ",0,"1/(a*cosh(x)^2)^(1/2)*a*cosh(x)*sinh(x)","A"
125,1,55,14,0.218000," ","int(1/(a*cosh(x)^2)^(1/2),x)","-\frac{\cosh \left(x \right) \sqrt{a \left(\sinh^{2}\left(x \right)\right)}\, \ln \left(\frac{2 \sqrt{-a}\, \sqrt{a \left(\sinh^{2}\left(x \right)\right)}-2 a}{\cosh \left(x \right)}\right)}{\sqrt{-a}\, \sinh \left(x \right) \sqrt{a \left(\cosh^{2}\left(x \right)\right)}}"," ",0,"-cosh(x)*(a*sinh(x)^2)^(1/2)/(-a)^(1/2)*ln(2*((-a)^(1/2)*(a*sinh(x)^2)^(1/2)-a)/cosh(x))/sinh(x)/(a*cosh(x)^2)^(1/2)","B"
126,1,82,34,0.300000," ","int(1/(a*cosh(x)^2)^(3/2),x)","\frac{\sqrt{a \left(\sinh^{2}\left(x \right)\right)}\, \left(-\ln \left(\frac{2 \sqrt{-a}\, \sqrt{a \left(\sinh^{2}\left(x \right)\right)}-2 a}{\cosh \left(x \right)}\right) a \left(\cosh^{2}\left(x \right)\right)+\sqrt{-a}\, \sqrt{a \left(\sinh^{2}\left(x \right)\right)}\right)}{2 a^{2} \cosh \left(x \right) \sqrt{-a}\, \sinh \left(x \right) \sqrt{a \left(\cosh^{2}\left(x \right)\right)}}"," ",0,"1/2/a^2/cosh(x)*(a*sinh(x)^2)^(1/2)*(-ln(2*((-a)^(1/2)*(a*sinh(x)^2)^(1/2)-a)/cosh(x))*a*cosh(x)^2+(-a)^(1/2)*(a*sinh(x)^2)^(1/2))/(-a)^(1/2)/sinh(x)/(a*cosh(x)^2)^(1/2)","B"
127,1,102,49,0.304000," ","int(1/(a*cosh(x)^2)^(5/2),x)","\frac{\sqrt{a \left(\sinh^{2}\left(x \right)\right)}\, \left(-3 \ln \left(\frac{2 \sqrt{-a}\, \sqrt{a \left(\sinh^{2}\left(x \right)\right)}-2 a}{\cosh \left(x \right)}\right) a \left(\cosh^{4}\left(x \right)\right)+3 \sqrt{a \left(\sinh^{2}\left(x \right)\right)}\, \left(\cosh^{2}\left(x \right)\right) \sqrt{-a}+2 \sqrt{-a}\, \sqrt{a \left(\sinh^{2}\left(x \right)\right)}\right)}{8 a^{3} \cosh \left(x \right)^{3} \sqrt{-a}\, \sinh \left(x \right) \sqrt{a \left(\cosh^{2}\left(x \right)\right)}}"," ",0,"1/8/a^3/cosh(x)^3*(a*sinh(x)^2)^(1/2)*(-3*ln(2*((-a)^(1/2)*(a*sinh(x)^2)^(1/2)-a)/cosh(x))*a*cosh(x)^4+3*(a*sinh(x)^2)^(1/2)*cosh(x)^2*(-a)^(1/2)+2*(-a)^(1/2)*(a*sinh(x)^2)^(1/2))/(-a)^(1/2)/sinh(x)/(a*cosh(x)^2)^(1/2)","B"
128,0,0,114,0.192000," ","int((a*cosh(x)^3)^(5/2),x)","\int \left(a \left(\cosh^{3}\left(x \right)\right)\right)^{\frac{5}{2}}\, dx"," ",0,"int((a*cosh(x)^3)^(5/2),x)","F"
129,0,0,72,0.217000," ","int((a*cosh(x)^3)^(3/2),x)","\int \left(a \left(\cosh^{3}\left(x \right)\right)\right)^{\frac{3}{2}}\, dx"," ",0,"int((a*cosh(x)^3)^(3/2),x)","F"
130,0,0,53,0.229000," ","int((a*cosh(x)^3)^(1/2),x)","\int \sqrt{a \left(\cosh^{3}\left(x \right)\right)}\, dx"," ",0,"int((a*cosh(x)^3)^(1/2),x)","F"
131,0,0,55,0.181000," ","int(1/(a*cosh(x)^3)^(1/2),x)","\int \frac{1}{\sqrt{a \left(\cosh^{3}\left(x \right)\right)}}\, dx"," ",0,"int(1/(a*cosh(x)^3)^(1/2),x)","F"
132,0,0,76,0.172000," ","int(1/(a*cosh(x)^3)^(3/2),x)","\int \frac{1}{\left(a \left(\cosh^{3}\left(x \right)\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int(1/(a*cosh(x)^3)^(3/2),x)","F"
133,0,0,114,0.176000," ","int(1/(a*cosh(x)^3)^(5/2),x)","\int \frac{1}{\left(a \left(\cosh^{3}\left(x \right)\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"int(1/(a*cosh(x)^3)^(5/2),x)","F"
134,1,177,108,0.593000," ","int((a*cosh(x)^4)^(5/2),x)","\frac{\sqrt{8}\, \left(\cosh \left(2 x \right)+1\right) \sqrt{a \left(-1+\cosh \left(2 x \right)\right) \left(\cosh \left(2 x \right)+1\right)}\, \sqrt{2}\, 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)}{10240 \sinh \left(2 x \right) \sqrt{\left(\cosh \left(2 x \right)+1\right)^{2} a}}"," ",0,"1/10240*8^(1/2)*(cosh(2*x)+1)*(a*(-1+cosh(2*x))*(cosh(2*x)+1))^(1/2)*2^(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)/((cosh(2*x)+1)^2*a)^(1/2)","A"
135,1,131,62,0.500000," ","int((a*cosh(x)^4)^(3/2),x)","\frac{\sqrt{8}\, \left(\cosh \left(2 x \right)+1\right) \sqrt{a \left(-1+\cosh \left(2 x \right)\right) \left(\cosh \left(2 x \right)+1\right)}\, \sqrt{2}\, \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)}{384 \sinh \left(2 x \right) \sqrt{\left(\cosh \left(2 x \right)+1\right)^{2} a}}"," ",0,"1/384*8^(1/2)*(cosh(2*x)+1)*(a*(-1+cosh(2*x))*(cosh(2*x)+1))^(1/2)*2^(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)/((cosh(2*x)+1)^2*a)^(1/2)","B"
136,1,89,28,0.446000," ","int((a*cosh(x)^4)^(1/2),x)","\frac{\sqrt{8}\, \left(\cosh \left(2 x \right)+1\right) \sqrt{a \left(-1+\cosh \left(2 x \right)\right) \left(\cosh \left(2 x \right)+1\right)}\, \sqrt{2}\, \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)}{16 \sqrt{a}\, \sinh \left(2 x \right) \sqrt{\left(\cosh \left(2 x \right)+1\right)^{2} a}}"," ",0,"1/16*8^(1/2)*(cosh(2*x)+1)*(a*(-1+cosh(2*x))*(cosh(2*x)+1))^(1/2)*2^(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)/((cosh(2*x)+1)^2*a)^(1/2)","B"
137,1,56,13,0.372000," ","int(1/(a*cosh(x)^4)^(1/2),x)","\frac{\sqrt{8}\, \sqrt{2}\, \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)}}{4 a \sinh \left(2 x \right) \sqrt{\left(\cosh \left(2 x \right)+1\right)^{2} a}}"," ",0,"1/4*8^(1/2)*2^(1/2)*(a*(-1+cosh(2*x))*(cosh(2*x)+1))^(1/2)/a*(a*sinh(2*x)^2)^(1/2)/sinh(2*x)/((cosh(2*x)+1)^2*a)^(1/2)","B"
138,1,80,57,0.386000," ","int(1/(a*cosh(x)^4)^(3/2),x)","\frac{\sqrt{8}\, \sqrt{2}\, \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(\cosh \left(2 x \right)+1\right)^{2} \sinh \left(2 x \right) \sqrt{\left(\cosh \left(2 x \right)+1\right)^{2} a}}"," ",0,"1/15*8^(1/2)*2^(1/2)/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)/(cosh(2*x)+1)^2/sinh(2*x)/((cosh(2*x)+1)^2*a)^(1/2)","A"
139,1,96,99,0.361000," ","int(1/(a*cosh(x)^4)^(5/2),x)","\frac{4 \sqrt{8}\, \sqrt{2}\, \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(\cosh \left(2 x \right)+1\right)^{4} \sinh \left(2 x \right) \sqrt{\left(\cosh \left(2 x \right)+1\right)^{2} a}}"," ",0,"4/315*8^(1/2)*2^(1/2)/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)/(cosh(2*x)+1)^4/sinh(2*x)/((cosh(2*x)+1)^2*a)^(1/2)","A"
140,1,9,8,0.031000," ","int(sinh(x)/(1+cosh(x))^2,x)","-\frac{1}{1+\cosh \left(x \right)}"," ",0,"-1/(1+cosh(x))","A"
141,1,9,8,0.033000," ","int(sinh(x)/(1-cosh(x))^2,x)","\frac{1}{1-\cosh \left(x \right)}"," ",0,"1/(1-cosh(x))","A"
142,1,24,12,0.049000," ","int(sinh(x)^2/(1+cosh(x))^2,x)","-2 \tanh \left(\frac{x}{2}\right)-\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)+\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)"," ",0,"-2*tanh(1/2*x)-ln(tanh(1/2*x)-1)+ln(tanh(1/2*x)+1)","A"
143,1,26,14,0.071000," ","int(sinh(x)^2/(1-cosh(x))^2,x)","-\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)+\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)-\frac{2}{\tanh \left(\frac{x}{2}\right)}"," ",0,"-ln(tanh(1/2*x)-1)+ln(tanh(1/2*x)+1)-2/tanh(1/2*x)","A"
144,1,11,10,0.041000," ","int(sinh(x)^3/(1+cosh(x))^2,x)","\cosh \left(x \right)-2 \ln \left(1+\cosh \left(x \right)\right)"," ",0,"cosh(x)-2*ln(1+cosh(x))","A"
145,1,11,12,0.062000," ","int(sinh(x)^3/(1-cosh(x))^2,x)","\cosh \left(x \right)+2 \ln \left(-1+\cosh \left(x \right)\right)"," ",0,"cosh(x)+2*ln(-1+cosh(x))","A"
146,1,9,8,0.030000," ","int(sinh(x)/(1+cosh(x))^3,x)","-\frac{1}{2 \left(1+\cosh \left(x \right)\right)^{2}}"," ",0,"-1/2/(1+cosh(x))^2","A"
147,1,11,10,0.029000," ","int(sinh(x)/(1-cosh(x))^3,x)","\frac{1}{2 \left(1-\cosh \left(x \right)\right)^{2}}"," ",0,"1/2/(1-cosh(x))^2","A"
148,1,9,12,0.050000," ","int(sinh(x)^2/(1+cosh(x))^3,x)","\frac{\left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{3}"," ",0,"1/3*tanh(1/2*x)^3","A"
149,1,9,14,0.056000," ","int(sinh(x)^2/(1-cosh(x))^3,x)","\frac{1}{3 \tanh \left(\frac{x}{2}\right)^{3}}"," ",0,"1/3/tanh(1/2*x)^3","A"
150,1,15,14,0.051000," ","int(sinh(x)^3/(1+cosh(x))^3,x)","\frac{2}{1+\cosh \left(x \right)}+\ln \left(1+\cosh \left(x \right)\right)"," ",0,"2/(1+cosh(x))+ln(1+cosh(x))","A"
151,1,17,20,0.075000," ","int(sinh(x)^3/(1-cosh(x))^3,x)","-\ln \left(-1+\cosh \left(x \right)\right)+\frac{2}{-1+\cosh \left(x \right)}"," ",0,"-ln(-1+cosh(x))+2/(-1+cosh(x))","A"
152,1,208,47,0.096000," ","int(sinh(x)^8/(a+a*cosh(x)),x)","-\frac{1}{7 a \left(\tanh \left(\frac{x}{2}\right)-1\right)^{7}}-\frac{2}{3 a \left(\tanh \left(\frac{x}{2}\right)-1\right)^{6}}-\frac{1}{a \left(\tanh \left(\frac{x}{2}\right)-1\right)^{5}}-\frac{1}{4 a \left(\tanh \left(\frac{x}{2}\right)-1\right)^{4}}+\frac{11}{24 a \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}-\frac{1}{8 a \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{5}{16 a \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{5 \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{16 a}-\frac{1}{7 a \left(\tanh \left(\frac{x}{2}\right)+1\right)^{7}}+\frac{2}{3 a \left(\tanh \left(\frac{x}{2}\right)+1\right)^{6}}-\frac{1}{a \left(\tanh \left(\frac{x}{2}\right)+1\right)^{5}}+\frac{1}{4 a \left(\tanh \left(\frac{x}{2}\right)+1\right)^{4}}+\frac{11}{24 a \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}+\frac{1}{8 a \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{5}{16 a \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{5 \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{16 a}"," ",0,"-1/7/a/(tanh(1/2*x)-1)^7-2/3/a/(tanh(1/2*x)-1)^6-1/a/(tanh(1/2*x)-1)^5-1/4/a/(tanh(1/2*x)-1)^4+11/24/a/(tanh(1/2*x)-1)^3-1/8/a/(tanh(1/2*x)-1)^2-5/16/a/(tanh(1/2*x)-1)-5/16/a*ln(tanh(1/2*x)-1)-1/7/a/(tanh(1/2*x)+1)^7+2/3/a/(tanh(1/2*x)+1)^6-1/a/(tanh(1/2*x)+1)^5+1/4/a/(tanh(1/2*x)+1)^4+11/24/a/(tanh(1/2*x)+1)^3+1/8/a/(tanh(1/2*x)+1)^2-5/16/a/(tanh(1/2*x)+1)+5/16/a*ln(tanh(1/2*x)+1)","B"
153,1,107,42,0.089000," ","int(sinh(x)^7/(a+a*cosh(x)),x)","\frac{\frac{1}{6 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{6}}+\frac{7}{10 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{5}}+\frac{7}{8 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{4}}-\frac{7}{16 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{7}{16 \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{1}{6 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{6}}-\frac{7}{10 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{5}}+\frac{7}{8 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{4}}-\frac{7}{16 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{7}{16 \left(\tanh \left(\frac{x}{2}\right)+1\right)}}{a}"," ",0,"128/a*(1/768/(tanh(1/2*x)-1)^6+7/1280/(tanh(1/2*x)-1)^5+7/1024/(tanh(1/2*x)-1)^4-7/2048/(tanh(1/2*x)-1)^2+7/2048/(tanh(1/2*x)-1)+1/768/(tanh(1/2*x)+1)^6-7/1280/(tanh(1/2*x)+1)^5+7/1024/(tanh(1/2*x)+1)^4-7/2048/(tanh(1/2*x)+1)^2-7/2048/(tanh(1/2*x)+1))","B"
154,1,156,36,0.085000," ","int(sinh(x)^6/(a+a*cosh(x)),x)","-\frac{1}{5 a \left(\tanh \left(\frac{x}{2}\right)-1\right)^{5}}-\frac{3}{4 a \left(\tanh \left(\frac{x}{2}\right)-1\right)^{4}}-\frac{3}{4 a \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}+\frac{1}{4 a \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{3}{8 a \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{8 a}-\frac{1}{5 a \left(\tanh \left(\frac{x}{2}\right)+1\right)^{5}}+\frac{3}{4 a \left(\tanh \left(\frac{x}{2}\right)+1\right)^{4}}-\frac{3}{4 a \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}-\frac{1}{4 a \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{3}{8 a \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{8 a}"," ",0,"-1/5/a/(tanh(1/2*x)-1)^5-3/4/a/(tanh(1/2*x)-1)^4-3/4/a/(tanh(1/2*x)-1)^3+1/4/a/(tanh(1/2*x)-1)^2+3/8/a/(tanh(1/2*x)-1)+3/8/a*ln(tanh(1/2*x)-1)-1/5/a/(tanh(1/2*x)+1)^5+3/4/a/(tanh(1/2*x)+1)^4-3/4/a/(tanh(1/2*x)+1)^3-1/4/a/(tanh(1/2*x)+1)^2+3/8/a/(tanh(1/2*x)+1)-3/8/a*ln(tanh(1/2*x)+1)","B"
155,1,87,29,0.082000," ","int(sinh(x)^5/(a+a*cosh(x)),x)","\frac{\frac{1}{4 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{4}}+\frac{5}{6 \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}{8 \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{1}{4 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{4}}-\frac{5}{6 \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}{8 \left(\tanh \left(\frac{x}{2}\right)+1\right)}}{a}"," ",0,"32/a*(1/128/(tanh(1/2*x)-1)^4+5/192/(tanh(1/2*x)-1)^3+5/256/(tanh(1/2*x)-1)^2-5/256/(tanh(1/2*x)-1)+1/128/(tanh(1/2*x)+1)^4-5/192/(tanh(1/2*x)+1)^3+5/256/(tanh(1/2*x)+1)^2+5/256/(tanh(1/2*x)+1))","B"
156,1,103,25,0.080000," ","int(sinh(x)^4/(a+a*cosh(x)),x)","-\frac{1}{3 a \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}-\frac{1}{a \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{1}{2 a \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2 a}-\frac{1}{3 a \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}+\frac{1}{a \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{1}{2 a \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2 a}"," ",0,"-1/3/a/(tanh(1/2*x)-1)^3-1/a/(tanh(1/2*x)-1)^2-1/2/a/(tanh(1/2*x)-1)-1/2/a*ln(tanh(1/2*x)-1)-1/3/a/(tanh(1/2*x)+1)^3+1/a/(tanh(1/2*x)+1)^2-1/2/a/(tanh(1/2*x)+1)+1/2/a*ln(tanh(1/2*x)+1)","B"
157,1,47,17,0.072000," ","int(sinh(x)^3/(a+a*cosh(x)),x)","\frac{\frac{1}{2 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{3}{2 \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{1}{2 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{3}{2 \left(\tanh \left(\frac{x}{2}\right)+1\right)}}{a}"," ",0,"8/a*(1/16/(tanh(1/2*x)-1)^2+3/16/(tanh(1/2*x)-1)+1/16/(tanh(1/2*x)+1)^2-3/16/(tanh(1/2*x)+1))","B"
158,1,51,13,0.070000," ","int(sinh(x)^2/(a+a*cosh(x)),x)","-\frac{1}{a \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{a}-\frac{1}{a \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{a}"," ",0,"-1/a/(tanh(1/2*x)-1)+1/a*ln(tanh(1/2*x)-1)-1/a/(tanh(1/2*x)+1)-1/a*ln(tanh(1/2*x)+1)","B"
159,1,12,9,0.036000," ","int(sinh(x)/(a+a*cosh(x)),x)","\frac{\ln \left(a +a \cosh \left(x \right)\right)}{a}"," ",0,"ln(a+a*cosh(x))/a","A"
160,1,23,19,0.072000," ","int(csch(x)/(a+a*cosh(x)),x)","-\frac{\tanh^{2}\left(\frac{x}{2}\right)}{4 a}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right)}{2 a}"," ",0,"-1/4/a*tanh(1/2*x)^2+1/2/a*ln(tanh(1/2*x))","A"
161,1,29,20,0.081000," ","int(csch(x)^2/(a+a*cosh(x)),x)","\frac{\frac{\left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{3}-2 \tanh \left(\frac{x}{2}\right)-\frac{1}{\tanh \left(\frac{x}{2}\right)}}{4 a}"," ",0,"1/4/a*(1/3*tanh(1/2*x)^3-2*tanh(1/2*x)-1/tanh(1/2*x))","A"
162,1,45,41,0.092000," ","int(csch(x)^3/(a+a*cosh(x)),x)","-\frac{\tanh^{4}\left(\frac{x}{2}\right)}{32 a}+\frac{3 \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{16 a}-\frac{1}{16 a \tanh \left(\frac{x}{2}\right)^{2}}-\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)\right)}{8 a}"," ",0,"-1/32/a*tanh(1/2*x)^4+3/16/a*tanh(1/2*x)^2-1/16/a/tanh(1/2*x)^2-3/8/a*ln(tanh(1/2*x))","A"
163,1,45,31,0.092000," ","int(csch(x)^4/(a+a*cosh(x)),x)","\frac{\frac{\left(\tanh^{5}\left(\frac{x}{2}\right)\right)}{5}-\frac{4 \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{3}+6 \tanh \left(\frac{x}{2}\right)-\frac{1}{3 \tanh \left(\frac{x}{2}\right)^{3}}+\frac{4}{\tanh \left(\frac{x}{2}\right)}}{16 a}"," ",0,"1/16/a*(1/5*tanh(1/2*x)^5-4/3*tanh(1/2*x)^3+6*tanh(1/2*x)-1/3/tanh(1/2*x)^3+4/tanh(1/2*x))","A"
164,1,67,66,0.096000," ","int(csch(x)^5/(a+a*cosh(x)),x)","-\frac{\tanh^{6}\left(\frac{x}{2}\right)}{192 a}+\frac{5 \left(\tanh^{4}\left(\frac{x}{2}\right)\right)}{128 a}-\frac{5 \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{32 a}-\frac{1}{128 a \tanh \left(\frac{x}{2}\right)^{4}}+\frac{5}{64 a \tanh \left(\frac{x}{2}\right)^{2}}+\frac{5 \ln \left(\tanh \left(\frac{x}{2}\right)\right)}{16 a}"," ",0,"-1/192/a*tanh(1/2*x)^6+5/128/a*tanh(1/2*x)^4-5/32/a*tanh(1/2*x)^2-1/128/a/tanh(1/2*x)^4+5/64/a/tanh(1/2*x)^2+5/16/a*ln(tanh(1/2*x))","A"
165,1,1039,130,0.078000," ","int(sinh(x)^7/(a+b*cosh(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{1}{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{1}{8 b \left(\tanh \left(\frac{x}{2}\right)+1\right)^{4}}-\frac{7}{12 b \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}+\frac{5}{16 b \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{11}{16 b \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{7}{12 b \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}+\frac{5}{16 b \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{11}{16 b \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{3 \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -a -b \right) a^{4}}{b^{4} \left(a -b \right)}+\frac{3 \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -a -b \right) a^{3}}{b^{3} \left(a -b \right)}-\frac{3 \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -a -b \right) a^{2}}{b^{2} \left(a -b \right)}-\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -a -b \right) a}{b \left(a -b \right)}-\frac{3 \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -a -b \right) a^{5}}{b^{5} \left(a -b \right)}+\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -a -b \right) a^{7}}{b^{7} \left(a -b \right)}-\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -a -b \right) a^{6}}{b^{6} \left(a -b \right)}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{b}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{b}+\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -a -b \right)}{a -b}-\frac{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{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{5 a^{3}}{2 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{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{7 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{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{7 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{5 a^{3}}{2 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{15 a}{8 b^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{7 a}{8 b^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{9 a^{2}}{8 b^{3} \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{15 a}{8 b^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{7 a}{8 b^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{9 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+1/2/b/(tanh(1/2*x)-1)^5+1/8/b/(tanh(1/2*x)-1)^4-1/2/b/(tanh(1/2*x)+1)^5+1/8/b/(tanh(1/2*x)+1)^4+1/b^7/(a-b)*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-a-b)*a^7-1/b^6/(a-b)*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-a-b)*a^6-3/b^5/(a-b)*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-a-b)*a^5+3/b^4/(a-b)*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-a-b)*a^4+3/b^3/(a-b)*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-a-b)*a^3-3/b^2/(a-b)*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-a-b)*a^2-1/b/(a-b)*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-a-b)*a-7/12/b/(tanh(1/2*x)-1)^3+5/16/b/(tanh(1/2*x)-1)^2+11/16/b/(tanh(1/2*x)-1)+7/12/b/(tanh(1/2*x)+1)^3+5/16/b/(tanh(1/2*x)+1)^2-11/16/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+5/2/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+1/4/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^3-7/8/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^2-1/4/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^3-7/8/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^4-5/2/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/(a-b)*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-a-b)-15/8/b^2/(tanh(1/2*x)+1)*a-7/8/b^2/(tanh(1/2*x)-1)^2*a-9/8/b^3/(tanh(1/2*x)-1)*a^2+15/8/b^2/(tanh(1/2*x)-1)*a-7/8/b^2/(tanh(1/2*x)+1)^2*a+9/8/b^3/(tanh(1/2*x)+1)*a^2","B"
166,1,679,135,0.085000," ","int(sinh(x)^6/(a+b*cosh(x)),x)","-\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{1}{12 b \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}+\frac{5}{8 b \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{1}{b \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{1}{12 b \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}-\frac{5}{8 b \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{1}{b \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{2 \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right) a^{6}}{b^{6} \sqrt{\left(a +b \right) \left(a -b \right)}}-\frac{6 \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right) a^{4}}{b^{4} \sqrt{\left(a +b \right) \left(a -b \right)}}+\frac{6 \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right) a^{2}}{b^{2} \sqrt{\left(a +b \right) \left(a -b \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{2 \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}+\frac{7 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{5 a}{8 b^{2} \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{2 a^{2}}{b^{3} \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{7 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{5 a}{8 b^{2} \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{2 a^{2}}{b^{3} \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\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}}"," ",0,"-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+1/12/b/(tanh(1/2*x)-1)^3+5/8/b/(tanh(1/2*x)-1)^2-1/b/(tanh(1/2*x)-1)+1/12/b/(tanh(1/2*x)+1)^3-5/8/b/(tanh(1/2*x)+1)^2-1/b/(tanh(1/2*x)+1)+2/b^6/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))*a^6-6/b^4/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))*a^4+6/b^2/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(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-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+7/8/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)+5/8/b^2/(tanh(1/2*x)-1)^2*a+2/b^3/(tanh(1/2*x)-1)*a^2+7/8/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)-5/8/b^2/(tanh(1/2*x)+1)^2*a+2/b^3/(tanh(1/2*x)+1)*a^2-2/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))-a^5/b^6*ln(tanh(1/2*x)+1)+a^5/b^6*ln(tanh(1/2*x)-1)","B"
167,1,599,77,0.069000," ","int(sinh(x)^5/(a+b*cosh(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{3}{8 b \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{5}{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{3}{8 b \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{5}{8 b \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -a -b \right) a^{4}}{b^{4} \left(a -b \right)}-\frac{2 \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -a -b \right) a^{3}}{b^{3} \left(a -b \right)}+\frac{2 \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -a -b \right) a^{2}}{b^{2} \left(a -b \right)}+\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -a -b \right) a}{b \left(a -b \right)}+\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -a -b \right) a^{5}}{b^{5} \left(a -b \right)}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{b}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{b}-\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -a -b \right)}{a -b}+\frac{2 \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{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{3 a}{2 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{3 a}{2 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,"1/4/b/(tanh(1/2*x)-1)^4+1/4/b/(tanh(1/2*x)+1)^4+1/b^5/(a-b)*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-a-b)*a^5-1/b^4/(a-b)*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-a-b)*a^4-2/b^3/(a-b)*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-a-b)*a^3+2/b^2/(a-b)*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-a-b)*a^2+1/b/(a-b)*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-a-b)*a+1/2/b/(tanh(1/2*x)-1)^3-3/8/b/(tanh(1/2*x)-1)^2-5/8/b/(tanh(1/2*x)-1)-1/2/b/(tanh(1/2*x)+1)^3-3/8/b/(tanh(1/2*x)+1)^2+5/8/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/(a-b)*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-a-b)+3/2/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^2-3/2/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"
168,1,338,87,0.085000," ","int(sinh(x)^4/(a+b*cosh(x)),x)","-\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}{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{1}{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{2 \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right) a^{4}}{b^{4} \sqrt{\left(a +b \right) \left(a -b \right)}}-\frac{4 \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right) a^{2}}{b^{2} \sqrt{\left(a +b \right) \left(a -b \right)}}+\frac{2 \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}"," ",0,"-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/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+1/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)+2/b^4/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))*a^4-4/b^2/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))*a^2+2/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))","B"
169,1,283,38,0.060000," ","int(sinh(x)^3/(a+b*cosh(x)),x)","-\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{a}{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{1}{2 b \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{a}{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{\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{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -a -b \right) a^{3}}{b^{3} \left(a -b \right)}-\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -a -b \right) a^{2}}{b^{2} \left(a -b \right)}-\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -a -b \right) a}{b \left(a -b \right)}+\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -a -b \right)}{a -b}"," ",0,"-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/b^2/(tanh(1/2*x)-1)*a+1/2/b/(tanh(1/2*x)-1)+1/2/b/(tanh(1/2*x)+1)^2-1/b^2/(tanh(1/2*x)+1)*a-1/2/b/(tanh(1/2*x)+1)-1/b^3*ln(tanh(1/2*x)+1)*a^2+1/b*ln(tanh(1/2*x)+1)+1/b^3/(a-b)*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-a-b)*a^3-1/b^2/(a-b)*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-a-b)*a^2-1/b/(a-b)*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-a-b)*a+1/(a-b)*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-a-b)","B"
170,1,129,49,0.062000," ","int(sinh(x)^2/(a+b*cosh(x)),x)","-\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}}+\frac{2 \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right) a^{2}}{b^{2} \sqrt{\left(a +b \right) \left(a -b \right)}}-\frac{2 \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}"," ",0,"-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)+2/b^2/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))*a^2-2/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))","B"
171,1,12,11,0.029000," ","int(sinh(x)/(a+b*cosh(x)),x)","\frac{\ln \left(a +b \cosh \left(x \right)\right)}{b}"," ",0,"ln(a+b*cosh(x))/b","A"
172,1,52,49,0.072000," ","int(csch(x)/(a+b*cosh(x)),x)","\frac{b \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -a -b \right)}{\left(a +b \right) \left(a -b \right)}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right)}{a +b}"," ",0,"b/(a+b)/(a-b)*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-a-b)+1/(a+b)*ln(tanh(1/2*x))","A"
173,1,78,57,0.083000," ","int(csch(x)^2/(a+b*cosh(x)),x)","-\frac{\tanh \left(\frac{x}{2}\right)}{2 \left(a -b \right)}-\frac{1}{2 \left(a +b \right) \tanh \left(\frac{x}{2}\right)}+\frac{2 b^{2} \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{\left(a +b \right) \left(a -b \right) \sqrt{\left(a +b \right) \left(a -b \right)}}"," ",0,"-1/2/(a-b)*tanh(1/2*x)-1/2/(a+b)/tanh(1/2*x)+2/(a+b)/(a-b)*b^2/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))","A"
174,1,97,85,0.086000," ","int(csch(x)^3/(a+b*cosh(x)),x)","\frac{\tanh^{2}\left(\frac{x}{2}\right)}{8 a -8 b}+\frac{b^{3} \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -a -b \right)}{\left(a +b \right)^{2} \left(a -b \right)^{2}}-\frac{1}{8 \left(a +b \right) \tanh \left(\frac{x}{2}\right)^{2}}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right) a}{2 \left(a +b \right)^{2}}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right) b}{\left(a +b \right)^{2}}"," ",0,"1/8*tanh(1/2*x)^2/(a-b)+b^3/(a+b)^2/(a-b)^2*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-a-b)-1/8/(a+b)/tanh(1/2*x)^2-1/2/(a+b)^2*ln(tanh(1/2*x))*a-1/(a+b)^2*ln(tanh(1/2*x))*b","A"
175,1,127,96,0.092000," ","int(csch(x)^4/(a+b*cosh(x)),x)","-\frac{\frac{a \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{3}-\frac{\left(\tanh^{3}\left(\frac{x}{2}\right)\right) b}{3}-3 a \tanh \left(\frac{x}{2}\right)+5 \tanh \left(\frac{x}{2}\right) b}{8 \left(a -b \right)^{2}}+\frac{2 b^{4} \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{\left(a -b \right)^{2} \left(a +b \right)^{2} \sqrt{\left(a +b \right) \left(a -b \right)}}-\frac{1}{24 \left(a +b \right) \tanh \left(\frac{x}{2}\right)^{3}}-\frac{-3 a -5 b}{8 \left(a +b \right)^{2} \tanh \left(\frac{x}{2}\right)}"," ",0,"-1/8/(a-b)^2*(1/3*a*tanh(1/2*x)^3-1/3*tanh(1/2*x)^3*b-3*a*tanh(1/2*x)+5*tanh(1/2*x)*b)+2/(a-b)^2/(a+b)^2*b^4/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))-1/24/(a+b)/tanh(1/2*x)^3-1/8/(a+b)^2*(-3*a-5*b)/tanh(1/2*x)","A"
176,1,191,143,0.089000," ","int(csch(x)^5/(a+b*cosh(x)),x)","\frac{\left(\tanh^{4}\left(\frac{x}{2}\right)\right) a}{64 \left(a -b \right)^{2}}-\frac{\left(\tanh^{4}\left(\frac{x}{2}\right)\right) b}{64 \left(a -b \right)^{2}}-\frac{\left(\tanh^{2}\left(\frac{x}{2}\right)\right) a}{8 \left(a -b \right)^{2}}+\frac{3 \left(\tanh^{2}\left(\frac{x}{2}\right)\right) b}{16 \left(a -b \right)^{2}}+\frac{b^{5} \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -a -b \right)}{\left(a -b \right)^{3} \left(a +b \right)^{3}}-\frac{1}{64 \left(a +b \right) \tanh \left(\frac{x}{2}\right)^{4}}+\frac{a}{8 \left(a +b \right)^{2} \tanh \left(\frac{x}{2}\right)^{2}}+\frac{3 b}{16 \left(a +b \right)^{2} \tanh \left(\frac{x}{2}\right)^{2}}+\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)\right) a^{2}}{8 \left(a +b \right)^{3}}+\frac{9 \ln \left(\tanh \left(\frac{x}{2}\right)\right) a b}{8 \left(a +b \right)^{3}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right) b^{2}}{\left(a +b \right)^{3}}"," ",0,"1/64/(a-b)^2*tanh(1/2*x)^4*a-1/64/(a-b)^2*tanh(1/2*x)^4*b-1/8/(a-b)^2*tanh(1/2*x)^2*a+3/16/(a-b)^2*tanh(1/2*x)^2*b+1/(a-b)^3*b^5/(a+b)^3*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-a-b)-1/64/(a+b)/tanh(1/2*x)^4+1/8/(a+b)^2/tanh(1/2*x)^2*a+3/16/(a+b)^2/tanh(1/2*x)^2*b+3/8/(a+b)^3*ln(tanh(1/2*x))*a^2+9/8/(a+b)^3*ln(tanh(1/2*x))*a*b+1/(a+b)^3*ln(tanh(1/2*x))*b^2","A"
177,1,213,143,0.094000," ","int(csch(x)^6/(a+b*cosh(x)),x)","-\frac{\frac{a^{2} \left(\tanh^{5}\left(\frac{x}{2}\right)\right)}{5}-\frac{2 \left(\tanh^{5}\left(\frac{x}{2}\right)\right) a b}{5}+\frac{b^{2} \left(\tanh^{5}\left(\frac{x}{2}\right)\right)}{5}-\frac{5 a^{2} \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{3}+4 a \left(\tanh^{3}\left(\frac{x}{2}\right)\right) b -\frac{7 b^{2} \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{3}+10 a^{2} \tanh \left(\frac{x}{2}\right)-28 a b \tanh \left(\frac{x}{2}\right)+22 b^{2} \tanh \left(\frac{x}{2}\right)}{32 \left(a -b \right)^{3}}+\frac{2 b^{6} \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{\left(a -b \right)^{3} \left(a +b \right)^{3} \sqrt{\left(a +b \right) \left(a -b \right)}}-\frac{1}{160 \left(a +b \right) \tanh \left(\frac{x}{2}\right)^{5}}-\frac{-5 a -7 b}{96 \left(a +b \right)^{2} \tanh \left(\frac{x}{2}\right)^{3}}-\frac{10 a^{2}+28 a b +22 b^{2}}{32 \left(a +b \right)^{3} \tanh \left(\frac{x}{2}\right)}"," ",0,"-1/32/(a-b)^3*(1/5*a^2*tanh(1/2*x)^5-2/5*tanh(1/2*x)^5*a*b+1/5*b^2*tanh(1/2*x)^5-5/3*a^2*tanh(1/2*x)^3+4*a*tanh(1/2*x)^3*b-7/3*b^2*tanh(1/2*x)^3+10*a^2*tanh(1/2*x)-28*a*b*tanh(1/2*x)+22*b^2*tanh(1/2*x))+2/(a-b)^3/(a+b)^3*b^6/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))-1/160/(a+b)/tanh(1/2*x)^5-1/96*(-5*a-7*b)/(a+b)^2/tanh(1/2*x)^3-1/32/(a+b)^3*(10*a^2+28*a*b+22*b^2)/tanh(1/2*x)","A"
178,1,99,57,0.068000," ","int(sinh(x)^2/(a+b*cosh(x))^2,x)","-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{b^{2}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{b^{2}}+\frac{2 \tanh \left(\frac{x}{2}\right)}{b \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -a -b \right)}-\frac{2 a \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{b^{2} \sqrt{\left(a +b \right) \left(a -b \right)}}"," ",0,"-1/b^2*ln(tanh(1/2*x)-1)+1/b^2*ln(tanh(1/2*x)+1)+2/b*tanh(1/2*x)/(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-a-b)-2/b^2*a/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))","A"
179,1,315,95,0.098000," ","int(tanh(x)^4/(a+b*cosh(x)),x)","\frac{2 \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}-\frac{4 \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right) b^{2}}{a^{2} \sqrt{\left(a +b \right) \left(a -b \right)}}+\frac{2 b^{4} \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{a^{4} \sqrt{\left(a +b \right) \left(a -b \right)}}-\frac{2 \left(\tanh^{5}\left(\frac{x}{2}\right)\right)}{a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}+\frac{\left(\tanh^{5}\left(\frac{x}{2}\right)\right) b}{a^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}+\frac{2 \left(\tanh^{5}\left(\frac{x}{2}\right)\right) b^{2}}{a^{3} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}-\frac{20 \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{3 a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}+\frac{4 \left(\tanh^{3}\left(\frac{x}{2}\right)\right) b^{2}}{a^{3} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}-\frac{2 \tanh \left(\frac{x}{2}\right)}{a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}+\frac{2 \tanh \left(\frac{x}{2}\right) b^{2}}{a^{3} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}-\frac{\tanh \left(\frac{x}{2}\right) b}{a^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}+\frac{3 \arctan \left(\tanh \left(\frac{x}{2}\right)\right) b}{a^{2}}-\frac{2 \arctan \left(\tanh \left(\frac{x}{2}\right)\right) b^{3}}{a^{4}}"," ",0,"2/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))-4/a^2/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))*b^2+2/a^4/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))*b^4-2/a/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)^5+1/a^2/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)^5*b+2/a^3/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)^5*b^2-20/3/a/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)^3+4/a^3/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)^3*b^2-2/a/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)+2/a^3/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)*b^2-1/a^2/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)*b+3/a^2*arctan(tanh(1/2*x))*b-2/a^4*arctan(tanh(1/2*x))*b^3","B"
180,1,140,55,0.095000," ","int(tanh(x)^3/(a+b*cosh(x)),x)","-\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -a -b \right)}{a}+\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -a -b \right) b^{2}}{a^{3}}+\frac{2}{a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}-\frac{2}{a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}-\frac{2 b}{a^{2} \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}+\frac{\ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}{a}-\frac{\ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right) b^{2}}{a^{3}}"," ",0,"-1/a*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-a-b)+1/a^3*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-a-b)*b^2+2/a/(tanh(1/2*x)^2+1)^2-2/a/(tanh(1/2*x)^2+1)-2/a^2/(tanh(1/2*x)^2+1)*b+1/a*ln(tanh(1/2*x)^2+1)-1/a^3*ln(tanh(1/2*x)^2+1)*b^2","B"
181,1,108,51,0.086000," ","int(tanh(x)^2/(a+b*cosh(x)),x)","\frac{2 \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}-\frac{2 \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right) b^{2}}{a^{2} \sqrt{\left(a +b \right) \left(a -b \right)}}-\frac{2 \tanh \left(\frac{x}{2}\right)}{a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}+\frac{2 \arctan \left(\tanh \left(\frac{x}{2}\right)\right) b}{a^{2}}"," ",0,"2/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))-2/a^2/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))*b^2-2/a*tanh(1/2*x)/(tanh(1/2*x)^2+1)+2/a^2*arctan(tanh(1/2*x))*b","B"
182,1,21,20,0.073000," ","int(tanh(x)/(a+b*cosh(x)),x)","\frac{\ln \left(\cosh \left(x \right)\right)}{a}-\frac{\ln \left(a +b \cosh \left(x \right)\right)}{a}"," ",0,"ln(cosh(x))/a-ln(a+b*cosh(x))/a","A"
183,1,53,50,0.086000," ","int(coth(x)/(a+b*cosh(x)),x)","-\frac{a \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -a -b \right)}{\left(a +b \right) \left(a -b \right)}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right)}{a +b}"," ",0,"-a/(a+b)/(a-b)*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-a-b)+1/(a+b)*ln(tanh(1/2*x))","A"
184,1,78,67,0.093000," ","int(coth(x)^2/(a+b*cosh(x)),x)","-\frac{\tanh \left(\frac{x}{2}\right)}{2 \left(a -b \right)}-\frac{1}{2 \left(a +b \right) \tanh \left(\frac{x}{2}\right)}+\frac{2 a^{2} \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{\left(a +b \right) \left(a -b \right) \sqrt{\left(a +b \right) \left(a -b \right)}}"," ",0,"-1/2/(a-b)*tanh(1/2*x)-1/2/(a+b)/tanh(1/2*x)+2/(a+b)/(a-b)*a^2/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))","A"
185,1,97,88,0.096000," ","int(coth(x)^3/(a+b*cosh(x)),x)","-\frac{\tanh^{2}\left(\frac{x}{2}\right)}{8 \left(a -b \right)}-\frac{a^{3} \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -a -b \right)}{\left(a +b \right)^{2} \left(a -b \right)^{2}}-\frac{1}{8 \left(a +b \right) \tanh \left(\frac{x}{2}\right)^{2}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right) a}{\left(a +b \right)^{2}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right) b}{2 \left(a +b \right)^{2}}"," ",0,"-1/8*tanh(1/2*x)^2/(a-b)-a^3/(a+b)^2/(a-b)^2*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-a-b)-1/8/(a+b)/tanh(1/2*x)^2+1/(a+b)^2*ln(tanh(1/2*x))*a+1/2/(a+b)^2*ln(tanh(1/2*x))*b","A"
186,1,127,123,0.109000," ","int(coth(x)^4/(a+b*cosh(x)),x)","-\frac{\frac{a \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{3}-\frac{\left(\tanh^{3}\left(\frac{x}{2}\right)\right) b}{3}+5 a \tanh \left(\frac{x}{2}\right)-3 \tanh \left(\frac{x}{2}\right) b}{8 \left(a -b \right)^{2}}+\frac{2 a^{4} \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{\left(a -b \right)^{2} \left(a +b \right)^{2} \sqrt{\left(a +b \right) \left(a -b \right)}}-\frac{1}{24 \left(a +b \right) \tanh \left(\frac{x}{2}\right)^{3}}-\frac{5 a +3 b}{8 \left(a +b \right)^{2} \tanh \left(\frac{x}{2}\right)}"," ",0,"-1/8/(a-b)^2*(1/3*a*tanh(1/2*x)^3-1/3*tanh(1/2*x)^3*b+5*a*tanh(1/2*x)-3*tanh(1/2*x)*b)+2/(a-b)^2/(a+b)^2*a^4/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))-1/24/(a+b)/tanh(1/2*x)^3-1/8*(5*a+3*b)/(a+b)^2/tanh(1/2*x)","A"
187,1,115,38,0.128000," ","int(tanh(x)^6/(a+a*cosh(x)),x)","\frac{3 \left(\tanh^{9}\left(\frac{x}{2}\right)\right)}{4 a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{5}}+\frac{7 \left(\tanh^{7}\left(\frac{x}{2}\right)\right)}{2 a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{5}}-\frac{32 \left(\tanh^{5}\left(\frac{x}{2}\right)\right)}{5 a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{5}}-\frac{7 \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{2 a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{5}}-\frac{3 \tanh \left(\frac{x}{2}\right)}{4 a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{5}}+\frac{3 \arctan \left(\tanh \left(\frac{x}{2}\right)\right)}{4 a}"," ",0,"3/4/a/(tanh(1/2*x)^2+1)^5*tanh(1/2*x)^9+7/2/a/(tanh(1/2*x)^2+1)^5*tanh(1/2*x)^7-32/5/a/(tanh(1/2*x)^2+1)^5*tanh(1/2*x)^5-7/2/a/(tanh(1/2*x)^2+1)^5*tanh(1/2*x)^3-3/4/a/(tanh(1/2*x)^2+1)^5*tanh(1/2*x)+3/4/a*arctan(tanh(1/2*x))","B"
188,1,30,26,0.112000," ","int(tanh(x)^5/(a+a*cosh(x)),x)","\frac{\frac{1}{3 \cosh \left(x \right)^{3}}-\frac{1}{4 \cosh \left(x \right)^{4}}-\frac{1}{\cosh \left(x \right)}+\frac{1}{2 \cosh \left(x \right)^{2}}}{a}"," ",0,"1/a*(1/3/cosh(x)^3-1/4/cosh(x)^4-1/cosh(x)+1/2/cosh(x)^2)","A"
189,1,71,27,0.099000," ","int(tanh(x)^4/(a+a*cosh(x)),x)","\frac{\tanh^{5}\left(\frac{x}{2}\right)}{a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}-\frac{8 \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{3 a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}-\frac{\tanh \left(\frac{x}{2}\right)}{a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}+\frac{\arctan \left(\tanh \left(\frac{x}{2}\right)\right)}{a}"," ",0,"1/a/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)^5-8/3/a/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)^3-1/a/(tanh(1/2*x)^2+1)^3*tanh(1/2*x)+1/a*arctan(tanh(1/2*x))","B"
190,1,18,17,0.101000," ","int(tanh(x)^3/(a+a*cosh(x)),x)","\frac{-\frac{1}{\cosh \left(x \right)}+\frac{1}{2 \cosh \left(x \right)^{2}}}{a}"," ",0,"1/a*(-1/cosh(x)+1/2/cosh(x)^2)","A"
191,1,31,15,0.085000," ","int(tanh(x)^2/(a+a*cosh(x)),x)","-\frac{2 \tanh \left(\frac{x}{2}\right)}{a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}+\frac{2 \arctan \left(\tanh \left(\frac{x}{2}\right)\right)}{a}"," ",0,"-2/a*tanh(1/2*x)/(tanh(1/2*x)^2+1)+2/a*arctan(tanh(1/2*x))","A"
192,1,19,18,0.084000," ","int(tanh(x)/(a+a*cosh(x)),x)","\frac{\ln \left(\cosh \left(x \right)\right)}{a}-\frac{\ln \left(1+\cosh \left(x \right)\right)}{a}"," ",0,"ln(cosh(x))/a-ln(1+cosh(x))/a","A"
193,1,23,27,0.099000," ","int(coth(x)/(a+a*cosh(x)),x)","\frac{\tanh^{2}\left(\frac{x}{2}\right)}{4 a}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right)}{2 a}"," ",0,"1/4/a*tanh(1/2*x)^2+1/2/a*ln(tanh(1/2*x))","A"
194,1,29,26,0.090000," ","int(coth(x)^2/(a+a*cosh(x)),x)","\frac{\frac{\left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{3}+2 \tanh \left(\frac{x}{2}\right)-\frac{1}{\tanh \left(\frac{x}{2}\right)}}{4 a}"," ",0,"1/4/a*(1/3*tanh(1/2*x)^3+2*tanh(1/2*x)-1/tanh(1/2*x))","A"
195,1,45,38,0.101000," ","int(coth(x)^3/(a+a*cosh(x)),x)","\frac{\tanh^{4}\left(\frac{x}{2}\right)}{32 a}+\frac{3 \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{16 a}-\frac{1}{16 a \tanh \left(\frac{x}{2}\right)^{2}}+\frac{3 \ln \left(\tanh \left(\frac{x}{2}\right)\right)}{8 a}"," ",0,"1/32/a*tanh(1/2*x)^4+3/16/a*tanh(1/2*x)^2-1/16/a/tanh(1/2*x)^2+3/8/a*ln(tanh(1/2*x))","A"
196,1,45,35,0.099000," ","int(coth(x)^4/(a+a*cosh(x)),x)","\frac{\frac{\left(\tanh^{5}\left(\frac{x}{2}\right)\right)}{5}+\frac{4 \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{3}+6 \tanh \left(\frac{x}{2}\right)-\frac{1}{3 \tanh \left(\frac{x}{2}\right)^{3}}-\frac{4}{\tanh \left(\frac{x}{2}\right)}}{16 a}"," ",0,"1/16/a*(1/5*tanh(1/2*x)^5+4/3*tanh(1/2*x)^3+6*tanh(1/2*x)-1/3/tanh(1/2*x)^3-4/tanh(1/2*x))","A"
197,1,30,29,0.063000," ","int((a+b*cosh(x))^(1/2)*tanh(x),x)","-2 \arctanh \left(\frac{\sqrt{a +b \cosh \left(x \right)}}{\sqrt{a}}\right) \sqrt{a}+2 \sqrt{a +b \cosh \left(x \right)}"," ",0,"-2*arctanh((a+b*cosh(x))^(1/2)/a^(1/2))*a^(1/2)+2*(a+b*cosh(x))^(1/2)","A"
198,1,19,18,0.074000," ","int(tanh(x)/(a+b*cosh(x))^(1/2),x)","-\frac{2 \arctanh \left(\frac{\sqrt{a +b \cosh \left(x \right)}}{\sqrt{a}}\right)}{\sqrt{a}}"," ",0,"-2*arctanh((a+b*cosh(x))^(1/2)/a^(1/2))/a^(1/2)","A"
199,1,137,46,0.067000," ","int((A+B*sinh(x))/(a+b*cosh(x)),x)","-\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}+\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -a -b \right) a B}{b \left(a -b \right)}-\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -a -b \right) B}{a -b}+\frac{2 A \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}"," ",0,"-B/b*ln(tanh(1/2*x)-1)-B/b*ln(tanh(1/2*x)+1)+1/b/(a-b)*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-a-b)*a*B-1/(a-b)*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-a-b)*B+2*A/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))","B"
200,1,28,18,0.047000," ","int((A+B*sinh(x))/(1+cosh(x)),x)","A \tanh \left(\frac{x}{2}\right)-B \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)-B \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)"," ",0,"A*tanh(1/2*x)-B*ln(tanh(1/2*x)-1)-B*ln(tanh(1/2*x)+1)","A"
201,1,36,24,0.071000," ","int((A+B*sinh(x))/(1-cosh(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{A}{\tanh \left(\frac{x}{2}\right)}-2 B \ln \left(\tanh \left(\frac{x}{2}\right)\right)"," ",0,"B*ln(tanh(1/2*x)-1)+B*ln(tanh(1/2*x)+1)+A/tanh(1/2*x)-2*B*ln(tanh(1/2*x))","A"
202,1,125,55,0.102000," ","int((A+B*tanh(x))/(a+b*cosh(x)),x)","-\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -a -b \right) B}{a -b}+\frac{\ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -a -b \right) B b}{a \left(a -b \right)}+\frac{2 A \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}+\frac{B \ln \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}{a}"," ",0,"-1/(a-b)*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-a-b)*B+1/a/(a-b)*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-a-b)*B*b+2*A/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))+B/a*ln(tanh(1/2*x)^2+1)","B"
203,1,139,86,0.106000," ","int((A+B*coth(x))/(a+b*cosh(x)),x)","-\frac{a B \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -a -b \right)}{\left(a +b \right) \left(a -b \right)}+\frac{2 \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right) A a}{\left(a +b \right) \sqrt{\left(a +b \right) \left(a -b \right)}}+\frac{2 \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right) A b}{\left(a +b \right) \sqrt{\left(a +b \right) \left(a -b \right)}}+\frac{B \ln \left(\tanh \left(\frac{x}{2}\right)\right)}{a +b}"," ",0,"-1/(a+b)*a*B/(a-b)*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-a-b)+2/(a+b)/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))*A*a+2/(a+b)/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))*A*b+B/(a+b)*ln(tanh(1/2*x))","A"
204,1,89,52,0.095000," ","int((A+B*sech(x))/(a+b*cosh(x)),x)","\frac{2 A \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}-\frac{2 B b \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{a \sqrt{\left(a +b \right) \left(a -b \right)}}+\frac{2 B \arctan \left(\tanh \left(\frac{x}{2}\right)\right)}{a}"," ",0,"2*A/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))-2/a/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))*B*b+2*B/a*arctan(tanh(1/2*x))","A"
205,1,138,85,0.115000," ","int((A+B*csch(x))/(a+b*cosh(x)),x)","\frac{B b \ln \left(a \left(\tanh^{2}\left(\frac{x}{2}\right)\right)-\left(\tanh^{2}\left(\frac{x}{2}\right)\right) b -a -b \right)}{\left(a +b \right) \left(a -b \right)}+\frac{2 \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right) A a}{\left(a +b \right) \sqrt{\left(a +b \right) \left(a -b \right)}}+\frac{2 \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right) A b}{\left(a +b \right) \sqrt{\left(a +b \right) \left(a -b \right)}}+\frac{B \ln \left(\tanh \left(\frac{x}{2}\right)\right)}{a +b}"," ",0,"1/(a+b)*B*b/(a-b)*ln(a*tanh(1/2*x)^2-tanh(1/2*x)^2*b-a-b)+2/(a+b)/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))*A*a+2/(a+b)/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*x)/((a+b)*(a-b))^(1/2))*A*b+B/(a+b)*ln(tanh(1/2*x))","A"
206,1,276,77,0.173000," ","int((A+B*cosh(e*x+d)+C*sinh(e*x+d))/(a+b*cosh(e*x+d)),x)","-\frac{\ln \left(\tanh \left(\frac{e x}{2}+\frac{d}{2}\right)-1\right) B}{e b}-\frac{\ln \left(\tanh \left(\frac{e x}{2}+\frac{d}{2}\right)-1\right) C}{e b}+\frac{\ln \left(\tanh \left(\frac{e x}{2}+\frac{d}{2}\right)+1\right) B}{e b}-\frac{\ln \left(\tanh \left(\frac{e x}{2}+\frac{d}{2}\right)+1\right) C}{e b}+\frac{\ln \left(a \left(\tanh^{2}\left(\frac{e x}{2}+\frac{d}{2}\right)\right)-\left(\tanh^{2}\left(\frac{e x}{2}+\frac{d}{2}\right)\right) b -a -b \right) a C}{e b \left(a -b \right)}-\frac{\ln \left(a \left(\tanh^{2}\left(\frac{e x}{2}+\frac{d}{2}\right)\right)-\left(\tanh^{2}\left(\frac{e x}{2}+\frac{d}{2}\right)\right) b -a -b \right) C}{e \left(a -b \right)}+\frac{2 \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{e x}{2}+\frac{d}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right) A}{e \sqrt{\left(a +b \right) \left(a -b \right)}}-\frac{2 \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{e x}{2}+\frac{d}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right) a B}{e b \sqrt{\left(a +b \right) \left(a -b \right)}}"," ",0,"-1/e/b*ln(tanh(1/2*e*x+1/2*d)-1)*B-1/e/b*ln(tanh(1/2*e*x+1/2*d)-1)*C+1/e/b*ln(tanh(1/2*e*x+1/2*d)+1)*B-1/e/b*ln(tanh(1/2*e*x+1/2*d)+1)*C+1/e/b/(a-b)*ln(a*tanh(1/2*e*x+1/2*d)^2-tanh(1/2*e*x+1/2*d)^2*b-a-b)*a*C-1/e/(a-b)*ln(a*tanh(1/2*e*x+1/2*d)^2-tanh(1/2*e*x+1/2*d)^2*b-a-b)*C+2/e/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*e*x+1/2*d)/((a+b)*(a-b))^(1/2))*A-2/e/b/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*e*x+1/2*d)/((a+b)*(a-b))^(1/2))*a*B","B"
207,1,144,112,0.172000," ","int((A+B*cosh(e*x+d)+C*sinh(e*x+d))/(a+b*cosh(e*x+d))^2,x)","\frac{-\frac{2 \left(-\frac{\left(A b -a B \right) \tanh \left(\frac{e x}{2}+\frac{d}{2}\right)}{a^{2}-b^{2}}+\frac{C}{a -b}\right)}{a \left(\tanh^{2}\left(\frac{e x}{2}+\frac{d}{2}\right)\right)-\left(\tanh^{2}\left(\frac{e x}{2}+\frac{d}{2}\right)\right) b -a -b}+\frac{2 \left(A a -B b \right) \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{e x}{2}+\frac{d}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{\left(a +b \right) \left(a -b \right) \sqrt{\left(a +b \right) \left(a -b \right)}}}{e}"," ",0,"1/e*(-2*(-(A*b-B*a)/(a^2-b^2)*tanh(1/2*e*x+1/2*d)+C/(a-b))/(a*tanh(1/2*e*x+1/2*d)^2-tanh(1/2*e*x+1/2*d)^2*b-a-b)+2*(A*a-B*b)/(a+b)/(a-b)/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*e*x+1/2*d)/((a+b)*(a-b))^(1/2)))","A"
208,1,273,172,0.166000," ","int((A+B*cosh(e*x+d)+C*sinh(e*x+d))/(a+b*cosh(e*x+d))^3,x)","\frac{-\frac{2 \left(-\frac{\left(4 A a b +A \,b^{2}-2 B \,a^{2}-b B a -2 B \,b^{2}\right) \left(\tanh^{3}\left(\frac{e x}{2}+\frac{d}{2}\right)\right)}{2 \left(a -b \right) \left(a^{2}+2 a b +b^{2}\right)}+\frac{C \left(\tanh^{2}\left(\frac{e x}{2}+\frac{d}{2}\right)\right)}{a -b}+\frac{\left(4 A a b -A \,b^{2}-2 B \,a^{2}+b B a -2 B \,b^{2}\right) \tanh \left(\frac{e x}{2}+\frac{d}{2}\right)}{2 \left(a +b \right) \left(a^{2}-2 a b +b^{2}\right)}-\frac{a C}{a^{2}-2 a b +b^{2}}\right)}{\left(a \left(\tanh^{2}\left(\frac{e x}{2}+\frac{d}{2}\right)\right)-\left(\tanh^{2}\left(\frac{e x}{2}+\frac{d}{2}\right)\right) b -a -b \right)^{2}}+\frac{\left(2 a^{2} A +A \,b^{2}-3 b B a \right) \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{e x}{2}+\frac{d}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{\left(a^{4}-2 a^{2} b^{2}+b^{4}\right) \sqrt{\left(a +b \right) \left(a -b \right)}}}{e}"," ",0,"1/e*(-2*(-1/2*(4*A*a*b+A*b^2-2*B*a^2-B*a*b-2*B*b^2)/(a-b)/(a^2+2*a*b+b^2)*tanh(1/2*e*x+1/2*d)^3+C/(a-b)*tanh(1/2*e*x+1/2*d)^2+1/2*(4*A*a*b-A*b^2-2*B*a^2+B*a*b-2*B*b^2)/(a+b)/(a^2-2*a*b+b^2)*tanh(1/2*e*x+1/2*d)-a*C/(a^2-2*a*b+b^2))/(a*tanh(1/2*e*x+1/2*d)^2-tanh(1/2*e*x+1/2*d)^2*b-a-b)^2+(2*A*a^2+A*b^2-3*B*a*b)/(a^4-2*a^2*b^2+b^4)/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*e*x+1/2*d)/((a+b)*(a-b))^(1/2)))","A"
209,1,459,243,0.176000," ","int((A+B*cosh(e*x+d)+C*sinh(e*x+d))/(a+b*cosh(e*x+d))^4,x)","\frac{-\frac{2 \left(-\frac{\left(6 A \,a^{2} b +3 A a \,b^{2}+2 A \,b^{3}-2 a^{3} B -2 B \,a^{2} b -6 B a \,b^{2}-B \,b^{3}\right) \left(\tanh^{5}\left(\frac{e x}{2}+\frac{d}{2}\right)\right)}{2 \left(a -b \right) \left(a^{3}+3 a^{2} b +3 a \,b^{2}+b^{3}\right)}+\frac{C \left(\tanh^{4}\left(\frac{e x}{2}+\frac{d}{2}\right)\right)}{a -b}+\frac{2 \left(9 A \,a^{2} b +A \,b^{3}-3 a^{3} B -7 B a \,b^{2}\right) \left(\tanh^{3}\left(\frac{e x}{2}+\frac{d}{2}\right)\right)}{3 \left(a^{2}+2 a b +b^{2}\right) \left(a^{2}-2 a b +b^{2}\right)}-\frac{2 a C \left(\tanh^{2}\left(\frac{e x}{2}+\frac{d}{2}\right)\right)}{a^{2}-2 a b +b^{2}}-\frac{\left(6 A \,a^{2} b -3 A a \,b^{2}+2 A \,b^{3}-2 a^{3} B +2 B \,a^{2} b -6 B a \,b^{2}+B \,b^{3}\right) \tanh \left(\frac{e x}{2}+\frac{d}{2}\right)}{2 \left(a +b \right) \left(a^{3}-3 a^{2} b +3 a \,b^{2}-b^{3}\right)}+\frac{C \left(3 a^{2}+b^{2}\right)}{3 a^{3}-9 a^{2} b +9 a \,b^{2}-3 b^{3}}\right)}{\left(a \left(\tanh^{2}\left(\frac{e x}{2}+\frac{d}{2}\right)\right)-\left(\tanh^{2}\left(\frac{e x}{2}+\frac{d}{2}\right)\right) b -a -b \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{\left(a -b \right) \tanh \left(\frac{e x}{2}+\frac{d}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{\left(a^{6}-3 a^{4} b^{2}+3 a^{2} b^{4}-b^{6}\right) \sqrt{\left(a +b \right) \left(a -b \right)}}}{e}"," ",0,"1/e*(-2*(-1/2*(6*A*a^2*b+3*A*a*b^2+2*A*b^3-2*B*a^3-2*B*a^2*b-6*B*a*b^2-B*b^3)/(a-b)/(a^3+3*a^2*b+3*a*b^2+b^3)*tanh(1/2*e*x+1/2*d)^5+C/(a-b)*tanh(1/2*e*x+1/2*d)^4+2/3*(9*A*a^2*b+A*b^3-3*B*a^3-7*B*a*b^2)/(a^2+2*a*b+b^2)/(a^2-2*a*b+b^2)*tanh(1/2*e*x+1/2*d)^3-2*a*C/(a^2-2*a*b+b^2)*tanh(1/2*e*x+1/2*d)^2-1/2*(6*A*a^2*b-3*A*a*b^2+2*A*b^3-2*B*a^3+2*B*a^2*b-6*B*a*b^2+B*b^3)/(a+b)/(a^3-3*a^2*b+3*a*b^2-b^3)*tanh(1/2*e*x+1/2*d)+1/3*C*(3*a^2+b^2)/(a^3-3*a^2*b+3*a*b^2-b^3))/(a*tanh(1/2*e*x+1/2*d)^2-tanh(1/2*e*x+1/2*d)^2*b-a-b)^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+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*e*x+1/2*d)/((a+b)*(a-b))^(1/2)))","A"
210,1,487,147,0.129000," ","int(x/(a+b*cosh(x)^2),x)","\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)}}+\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)}"," ",0,"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))+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","B"
211,1,686,225,0.124000," ","int(x^2/(a+b*cosh(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"
212,1,889,303,0.126000," ","int(x^3/(a+b*cosh(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"
213,0,0,46,0.602000," ","int(cosh((-a*x+1)^(1/2)/(a*x+1)^(1/2))^3/(-a^2*x^2+1),x)","\int \frac{\cosh^{3}\left(\frac{\sqrt{-a x +1}}{\sqrt{a x +1}}\right)}{-a^{2} x^{2}+1}\, dx"," ",0,"int(cosh((-a*x+1)^(1/2)/(a*x+1)^(1/2))^3/(-a^2*x^2+1),x)","F"
214,0,0,46,0.346000," ","int(cosh((-a*x+1)^(1/2)/(a*x+1)^(1/2))^2/(-a^2*x^2+1),x)","\int \frac{\cosh^{2}\left(\frac{\sqrt{-a x +1}}{\sqrt{a x +1}}\right)}{-a^{2} x^{2}+1}\, dx"," ",0,"int(cosh((-a*x+1)^(1/2)/(a*x+1)^(1/2))^2/(-a^2*x^2+1),x)","F"
215,0,0,22,0.197000," ","int(cosh((-a*x+1)^(1/2)/(a*x+1)^(1/2))/(-a^2*x^2+1),x)","\int \frac{\cosh \left(\frac{\sqrt{-a x +1}}{\sqrt{a x +1}}\right)}{-a^{2} x^{2}+1}\, dx"," ",0,"int(cosh((-a*x+1)^(1/2)/(a*x+1)^(1/2))/(-a^2*x^2+1),x)","F"
216,0,0,35,0.201000," ","int(1/(-a^2*x^2+1)/cosh((-a*x+1)^(1/2)/(a*x+1)^(1/2)),x)","\int \frac{1}{\left(-a^{2} x^{2}+1\right) \cosh \left(\frac{\sqrt{-a x +1}}{\sqrt{a x +1}}\right)}\, dx"," ",0,"int(1/(-a^2*x^2+1)/cosh((-a*x+1)^(1/2)/(a*x+1)^(1/2)),x)","F"
217,0,0,37,0.198000," ","int(1/(-a^2*x^2+1)/cosh((-a*x+1)^(1/2)/(a*x+1)^(1/2))^2,x)","\int \frac{1}{\left(-a^{2} x^{2}+1\right) \cosh \left(\frac{\sqrt{-a x +1}}{\sqrt{a x +1}}\right)^{2}}\, dx"," ",0,"int(1/(-a^2*x^2+1)/cosh((-a*x+1)^(1/2)/(a*x+1)^(1/2))^2,x)","F"
218,1,138,50,0.176000," ","int(x*sinh(x)/(a+b*cosh(x))^2,x)","-\frac{2 x \,{\mathrm e}^{x}}{b \left(b \,{\mathrm e}^{2 x}+2 a \,{\mathrm e}^{x}+b \right)}+\frac{\ln \left({\mathrm e}^{x}+\frac{a \sqrt{a^{2}-b^{2}}-a^{2}+b^{2}}{\sqrt{a^{2}-b^{2}}\, b}\right)}{\sqrt{a^{2}-b^{2}}\, b}-\frac{\ln \left({\mathrm e}^{x}+\frac{a \sqrt{a^{2}-b^{2}}+a^{2}-b^{2}}{\sqrt{a^{2}-b^{2}}\, b}\right)}{\sqrt{a^{2}-b^{2}}\, b}"," ",0,"-2*x/b*exp(x)/(b*exp(2*x)+2*a*exp(x)+b)+1/(a^2-b^2)^(1/2)/b*ln(exp(x)+(a*(a^2-b^2)^(1/2)-a^2+b^2)/(a^2-b^2)^(1/2)/b)-1/(a^2-b^2)^(1/2)/b*ln(exp(x)+(a*(a^2-b^2)^(1/2)+a^2-b^2)/(a^2-b^2)^(1/2)/b)","B"
219,1,231,73,0.229000," ","int(x*sinh(x)/(a+b*cosh(x))^3,x)","-\frac{2 a^{2} x \,{\mathrm e}^{2 x}-a b \,{\mathrm e}^{3 x}-2 b^{2} x \,{\mathrm e}^{2 x}-2 a^{2} {\mathrm e}^{2 x}-b^{2} {\mathrm e}^{2 x}-3 b a \,{\mathrm e}^{x}-b^{2}}{b \left(b \,{\mathrm e}^{2 x}+2 a \,{\mathrm e}^{x}+b \right)^{2} \left(a^{2}-b^{2}\right)}+\frac{a \ln \left({\mathrm e}^{x}+\frac{a \sqrt{a^{2}-b^{2}}-a^{2}+b^{2}}{\sqrt{a^{2}-b^{2}}\, b}\right)}{2 \sqrt{a^{2}-b^{2}}\, \left(a +b \right) \left(a -b \right) b}-\frac{a \ln \left({\mathrm e}^{x}+\frac{a \sqrt{a^{2}-b^{2}}+a^{2}-b^{2}}{\sqrt{a^{2}-b^{2}}\, b}\right)}{2 \sqrt{a^{2}-b^{2}}\, \left(a +b \right) \left(a -b \right) b}"," ",0,"-1/b*(2*a^2*x*exp(2*x)-a*b*exp(3*x)-2*b^2*x*exp(2*x)-2*a^2*exp(2*x)-b^2*exp(2*x)-3*b*a*exp(x)-b^2)/(b*exp(2*x)+2*a*exp(x)+b)^2/(a^2-b^2)+1/2/(a^2-b^2)^(1/2)*a/(a+b)/(a-b)/b*ln(exp(x)+(a*(a^2-b^2)^(1/2)-a^2+b^2)/(a^2-b^2)^(1/2)/b)-1/2/(a^2-b^2)^(1/2)*a/(a+b)/(a-b)/b*ln(exp(x)+(a*(a^2-b^2)^(1/2)+a^2-b^2)/(a^2-b^2)^(1/2)/b)","B"
220,1,47,39,0.292000," ","int((2+cosh(b*x+a)^2)*sinh(b*x+a)/x,x)","\frac{{\mathrm e}^{-3 a} \Ei \left(1, 3 b x \right)}{8}+\frac{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"
221,0,0,24,0.140000," ","int(x^m*sinh(d*x+c)/(a+b*cosh(d*x+c)),x)","\int \frac{x^{m} \sinh \left(d x +c \right)}{a +b \cosh \left(d x +c \right)}\, dx"," ",0,"int(x^m*sinh(d*x+c)/(a+b*cosh(d*x+c)),x)","F"
222,0,0,301,0.562000," ","int(x^3*sinh(d*x+c)/(a+b*cosh(d*x+c)),x)","\int \frac{x^{3} \sinh \left(d x +c \right)}{a +b \cosh \left(d x +c \right)}\, dx"," ",0,"int(x^3*sinh(d*x+c)/(a+b*cosh(d*x+c)),x)","F"
223,0,0,225,0.533000," ","int(x^2*sinh(d*x+c)/(a+b*cosh(d*x+c)),x)","\int \frac{x^{2} \sinh \left(d x +c \right)}{a +b \cosh \left(d x +c \right)}\, dx"," ",0,"int(x^2*sinh(d*x+c)/(a+b*cosh(d*x+c)),x)","F"
224,1,368,147,0.210000," ","int(x*sinh(d*x+c)/(a+b*cosh(d*x+c)),x)","-\frac{x^{2}}{2 b}+\frac{\ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}-b^{2}}-a}{-a +\sqrt{a^{2}-b^{2}}}\right) x}{d b}+\frac{\ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}-b^{2}}-a}{-a +\sqrt{a^{2}-b^{2}}}\right) c}{d^{2} b}+\frac{\ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}-b^{2}}+a}{a +\sqrt{a^{2}-b^{2}}}\right) x}{d b}+\frac{\ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}-b^{2}}+a}{a +\sqrt{a^{2}-b^{2}}}\right) c}{d^{2} b}+\frac{\dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}-b^{2}}+a}{a +\sqrt{a^{2}-b^{2}}}\right)}{d^{2} b}+\frac{\dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}-b^{2}}-a}{-a +\sqrt{a^{2}-b^{2}}}\right)}{d^{2} b}-\frac{2 c x}{d b}-\frac{c^{2}}{d^{2} b}-\frac{c \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}+b \right)}{d^{2} b}+\frac{2 c \ln \left({\mathrm e}^{d x +c}\right)}{d^{2} b}"," ",0,"-1/2*x^2/b+1/d/b*ln((-b*exp(d*x+c)+(a^2-b^2)^(1/2)-a)/(-a+(a^2-b^2)^(1/2)))*x+1/d^2/b*ln((-b*exp(d*x+c)+(a^2-b^2)^(1/2)-a)/(-a+(a^2-b^2)^(1/2)))*c+1/d/b*ln((b*exp(d*x+c)+(a^2-b^2)^(1/2)+a)/(a+(a^2-b^2)^(1/2)))*x+1/d^2/b*ln((b*exp(d*x+c)+(a^2-b^2)^(1/2)+a)/(a+(a^2-b^2)^(1/2)))*c+1/d^2/b*dilog((b*exp(d*x+c)+(a^2-b^2)^(1/2)+a)/(a+(a^2-b^2)^(1/2)))+1/d^2/b*dilog((-b*exp(d*x+c)+(a^2-b^2)^(1/2)-a)/(-a+(a^2-b^2)^(1/2)))-2/d/b*c*x-1/d^2/b*c^2-1/d^2/b*c*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)+b)+2/d^2/b*c*ln(exp(d*x+c))","B"
225,1,19,18,0.027000," ","int(sinh(d*x+c)/(a+b*cosh(d*x+c)),x)","\frac{\ln \left(a +b \cosh \left(d x +c \right)\right)}{b d}"," ",0,"ln(a+b*cosh(d*x+c))/b/d","A"
226,0,0,24,0.385000," ","int(sinh(d*x+c)/x/(a+b*cosh(d*x+c)),x)","\int \frac{\sinh \left(d x +c \right)}{x \left(a +b \cosh \left(d x +c \right)\right)}\, dx"," ",0,"int(sinh(d*x+c)/x/(a+b*cosh(d*x+c)),x)","F"
227,0,0,26,0.304000," ","int(x^m*sinh(d*x+c)^2/(a+b*cosh(d*x+c)),x)","\int \frac{x^{m} \left(\sinh^{2}\left(d x +c \right)\right)}{a +b \cosh \left(d x +c \right)}\, dx"," ",0,"int(x^m*sinh(d*x+c)^2/(a+b*cosh(d*x+c)),x)","F"
228,0,0,453,0.422000," ","int(x^3*sinh(d*x+c)^2/(a+b*cosh(d*x+c)),x)","\int \frac{x^{3} \left(\sinh^{2}\left(d x +c \right)\right)}{a +b \cosh \left(d x +c \right)}\, dx"," ",0,"int(x^3*sinh(d*x+c)^2/(a+b*cosh(d*x+c)),x)","F"
229,0,0,338,0.426000," ","int(x^2*sinh(d*x+c)^2/(a+b*cosh(d*x+c)),x)","\int \frac{x^{2} \left(\sinh^{2}\left(d x +c \right)\right)}{a +b \cosh \left(d x +c \right)}\, dx"," ",0,"int(x^2*sinh(d*x+c)^2/(a+b*cosh(d*x+c)),x)","F"
230,1,862,222,0.287000," ","int(x*sinh(d*x+c)^2/(a+b*cosh(d*x+c)),x)","-\frac{a \,x^{2}}{2 b^{2}}+\frac{\left(d x -1\right) {\mathrm e}^{d x +c}}{2 b \,d^{2}}-\frac{\left(d x +1\right) {\mathrm e}^{-d x -c}}{2 b \,d^{2}}+\frac{\ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}-b^{2}}-a}{-a +\sqrt{a^{2}-b^{2}}}\right) x \,a^{2}}{b^{2} d \sqrt{a^{2}-b^{2}}}-\frac{\ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}-b^{2}}-a}{-a +\sqrt{a^{2}-b^{2}}}\right) x}{d \sqrt{a^{2}-b^{2}}}-\frac{\ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}-b^{2}}+a}{a +\sqrt{a^{2}-b^{2}}}\right) x \,a^{2}}{b^{2} d \sqrt{a^{2}-b^{2}}}+\frac{\ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}-b^{2}}+a}{a +\sqrt{a^{2}-b^{2}}}\right) x}{d \sqrt{a^{2}-b^{2}}}+\frac{\ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}-b^{2}}-a}{-a +\sqrt{a^{2}-b^{2}}}\right) c \,a^{2}}{b^{2} d^{2} \sqrt{a^{2}-b^{2}}}-\frac{\ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}-b^{2}}-a}{-a +\sqrt{a^{2}-b^{2}}}\right) c}{d^{2} \sqrt{a^{2}-b^{2}}}-\frac{\ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}-b^{2}}+a}{a +\sqrt{a^{2}-b^{2}}}\right) c \,a^{2}}{b^{2} d^{2} \sqrt{a^{2}-b^{2}}}+\frac{\ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}-b^{2}}+a}{a +\sqrt{a^{2}-b^{2}}}\right) c}{d^{2} \sqrt{a^{2}-b^{2}}}+\frac{\dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}-b^{2}}-a}{-a +\sqrt{a^{2}-b^{2}}}\right) a^{2}}{b^{2} d^{2} \sqrt{a^{2}-b^{2}}}-\frac{\dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}-b^{2}}-a}{-a +\sqrt{a^{2}-b^{2}}}\right)}{d^{2} \sqrt{a^{2}-b^{2}}}-\frac{\dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}-b^{2}}+a}{a +\sqrt{a^{2}-b^{2}}}\right) a^{2}}{b^{2} d^{2} \sqrt{a^{2}-b^{2}}}+\frac{\dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}-b^{2}}+a}{a +\sqrt{a^{2}-b^{2}}}\right)}{d^{2} \sqrt{a^{2}-b^{2}}}-\frac{2 c \arctan \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{-a^{2}+b^{2}}}\right) a^{2}}{b^{2} d^{2} \sqrt{-a^{2}+b^{2}}}+\frac{2 c \arctan \left(\frac{2 b \,{\mathrm e}^{d x +c}+2 a}{2 \sqrt{-a^{2}+b^{2}}}\right)}{d^{2} \sqrt{-a^{2}+b^{2}}}"," ",0,"-1/2*a*x^2/b^2+1/2*(d*x-1)/b/d^2*exp(d*x+c)-1/2*(d*x+1)/b/d^2*exp(-d*x-c)+1/b^2/d/(a^2-b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2-b^2)^(1/2)-a)/(-a+(a^2-b^2)^(1/2)))*x*a^2-1/d/(a^2-b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2-b^2)^(1/2)-a)/(-a+(a^2-b^2)^(1/2)))*x-1/b^2/d/(a^2-b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2-b^2)^(1/2)+a)/(a+(a^2-b^2)^(1/2)))*x*a^2+1/d/(a^2-b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2-b^2)^(1/2)+a)/(a+(a^2-b^2)^(1/2)))*x+1/b^2/d^2/(a^2-b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2-b^2)^(1/2)-a)/(-a+(a^2-b^2)^(1/2)))*c*a^2-1/d^2/(a^2-b^2)^(1/2)*ln((-b*exp(d*x+c)+(a^2-b^2)^(1/2)-a)/(-a+(a^2-b^2)^(1/2)))*c-1/b^2/d^2/(a^2-b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2-b^2)^(1/2)+a)/(a+(a^2-b^2)^(1/2)))*c*a^2+1/d^2/(a^2-b^2)^(1/2)*ln((b*exp(d*x+c)+(a^2-b^2)^(1/2)+a)/(a+(a^2-b^2)^(1/2)))*c+1/b^2/d^2/(a^2-b^2)^(1/2)*dilog((-b*exp(d*x+c)+(a^2-b^2)^(1/2)-a)/(-a+(a^2-b^2)^(1/2)))*a^2-1/d^2/(a^2-b^2)^(1/2)*dilog((-b*exp(d*x+c)+(a^2-b^2)^(1/2)-a)/(-a+(a^2-b^2)^(1/2)))-1/b^2/d^2/(a^2-b^2)^(1/2)*dilog((b*exp(d*x+c)+(a^2-b^2)^(1/2)+a)/(a+(a^2-b^2)^(1/2)))*a^2+1/d^2/(a^2-b^2)^(1/2)*dilog((b*exp(d*x+c)+(a^2-b^2)^(1/2)+a)/(a+(a^2-b^2)^(1/2)))-2/b^2/d^2*c/(-a^2+b^2)^(1/2)*arctan(1/2*(2*b*exp(d*x+c)+2*a)/(-a^2+b^2)^(1/2))*a^2+2/d^2*c/(-a^2+b^2)^(1/2)*arctan(1/2*(2*b*exp(d*x+c)+2*a)/(-a^2+b^2)^(1/2))","B"
231,1,177,64,0.079000," ","int(sinh(d*x+c)^2/(a+b*cosh(d*x+c)),x)","-\frac{1}{d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}+\frac{a \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,b^{2}}-\frac{1}{d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{a \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,b^{2}}+\frac{2 \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right) a^{2}}{d \,b^{2} \sqrt{\left(a +b \right) \left(a -b \right)}}-\frac{2 \arctanh \left(\frac{\left(a -b \right) \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{d \sqrt{\left(a +b \right) \left(a -b \right)}}"," ",0,"-1/d/b/(tanh(1/2*d*x+1/2*c)-1)+1/d*a/b^2*ln(tanh(1/2*d*x+1/2*c)-1)-1/d/b/(tanh(1/2*d*x+1/2*c)+1)-1/d*a/b^2*ln(tanh(1/2*d*x+1/2*c)+1)+2/d/b^2/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*d*x+1/2*c)/((a+b)*(a-b))^(1/2))*a^2-2/d/((a+b)*(a-b))^(1/2)*arctanh((a-b)*tanh(1/2*d*x+1/2*c)/((a+b)*(a-b))^(1/2))","B"
232,0,0,26,0.290000," ","int(sinh(d*x+c)^2/x/(a+b*cosh(d*x+c)),x)","\int \frac{\sinh^{2}\left(d x +c \right)}{x \left(a +b \cosh \left(d x +c \right)\right)}\, dx"," ",0,"int(sinh(d*x+c)^2/x/(a+b*cosh(d*x+c)),x)","F"
233,0,0,26,0.209000," ","int(x^m*sinh(d*x+c)^3/(a+b*cosh(d*x+c)),x)","\int \frac{x^{m} \left(\sinh^{3}\left(d x +c \right)\right)}{a +b \cosh \left(d x +c \right)}\, dx"," ",0,"int(x^m*sinh(d*x+c)^3/(a+b*cosh(d*x+c)),x)","F"
234,0,0,548,0.743000," ","int(x^3*sinh(d*x+c)^3/(a+b*cosh(d*x+c)),x)","\int \frac{x^{3} \left(\sinh^{3}\left(d x +c \right)\right)}{a +b \cosh \left(d x +c \right)}\, dx"," ",0,"int(x^3*sinh(d*x+c)^3/(a+b*cosh(d*x+c)),x)","F"
235,0,0,404,0.655000," ","int(x^2*sinh(d*x+c)^3/(a+b*cosh(d*x+c)),x)","\int \frac{x^{2} \left(\sinh^{3}\left(d x +c \right)\right)}{a +b \cosh \left(d x +c \right)}\, dx"," ",0,"int(x^2*sinh(d*x+c)^3/(a+b*cosh(d*x+c)),x)","F"
236,1,860,268,0.300000," ","int(x*sinh(d*x+c)^3/(a+b*cosh(d*x+c)),x)","-\frac{\ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}-b^{2}}+a}{a +\sqrt{a^{2}-b^{2}}}\right) x}{d b}-\frac{\ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}-b^{2}}+a}{a +\sqrt{a^{2}-b^{2}}}\right) c}{d^{2} b}+\frac{c \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}+b \right)}{d^{2} b}-\frac{2 c \ln \left({\mathrm e}^{d x +c}\right)}{d^{2} b}+\frac{2 c x}{d b}-\frac{\ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}-b^{2}}-a}{-a +\sqrt{a^{2}-b^{2}}}\right) x}{d b}-\frac{\ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}-b^{2}}-a}{-a +\sqrt{a^{2}-b^{2}}}\right) c}{d^{2} b}-\frac{a^{2} c^{2}}{d^{2} b^{3}}-\frac{a \left(d x +1\right) {\mathrm e}^{-d x -c}}{2 b^{2} d^{2}}-\frac{a \left(d x -1\right) {\mathrm e}^{d x +c}}{2 b^{2} d^{2}}-\frac{x^{2} a^{2}}{2 b^{3}}+\frac{\left(2 d x +1\right) {\mathrm e}^{-2 d x -2 c}}{16 b \,d^{2}}-\frac{\dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}-b^{2}}+a}{a +\sqrt{a^{2}-b^{2}}}\right)}{d^{2} b}-\frac{\dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}-b^{2}}-a}{-a +\sqrt{a^{2}-b^{2}}}\right)}{d^{2} b}+\frac{a^{2} \dilog \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}-b^{2}}-a}{-a +\sqrt{a^{2}-b^{2}}}\right)}{d^{2} b^{3}}+\frac{a^{2} \dilog \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}-b^{2}}+a}{a +\sqrt{a^{2}-b^{2}}}\right)}{d^{2} b^{3}}-\frac{2 a^{2} c x}{d \,b^{3}}+\frac{\ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}-b^{2}}-a}{-a +\sqrt{a^{2}-b^{2}}}\right) a^{2} x}{d \,b^{3}}+\frac{\ln \left(\frac{-b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}-b^{2}}-a}{-a +\sqrt{a^{2}-b^{2}}}\right) a^{2} c}{d^{2} b^{3}}+\frac{\ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}-b^{2}}+a}{a +\sqrt{a^{2}-b^{2}}}\right) a^{2} x}{d \,b^{3}}+\frac{\ln \left(\frac{b \,{\mathrm e}^{d x +c}+\sqrt{a^{2}-b^{2}}+a}{a +\sqrt{a^{2}-b^{2}}}\right) a^{2} c}{d^{2} b^{3}}+\frac{2 c \,a^{2} \ln \left({\mathrm e}^{d x +c}\right)}{d^{2} b^{3}}-\frac{c \,a^{2} \ln \left(b \,{\mathrm e}^{2 d x +2 c}+2 a \,{\mathrm e}^{d x +c}+b \right)}{d^{2} b^{3}}+\frac{c^{2}}{d^{2} b}+\frac{\left(2 d x -1\right) {\mathrm e}^{2 d x +2 c}}{16 b \,d^{2}}+\frac{x^{2}}{2 b}"," ",0,"-1/d/b*ln((b*exp(d*x+c)+(a^2-b^2)^(1/2)+a)/(a+(a^2-b^2)^(1/2)))*x-1/d^2/b*ln((b*exp(d*x+c)+(a^2-b^2)^(1/2)+a)/(a+(a^2-b^2)^(1/2)))*c+1/d^2/b*c*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)+b)-2/d^2/b*c*ln(exp(d*x+c))+2/d/b*c*x-1/d/b*ln((-b*exp(d*x+c)+(a^2-b^2)^(1/2)-a)/(-a+(a^2-b^2)^(1/2)))*x-1/d^2/b*ln((-b*exp(d*x+c)+(a^2-b^2)^(1/2)-a)/(-a+(a^2-b^2)^(1/2)))*c-1/d^2/b^3*a^2*c^2-1/2*a*(d*x+1)/b^2/d^2*exp(-d*x-c)-1/2*a*(d*x-1)/b^2/d^2*exp(d*x+c)-1/2*x^2/b^3*a^2+1/16*(2*d*x+1)/b/d^2*exp(-2*d*x-2*c)+1/d^2/b^3*a^2*dilog((-b*exp(d*x+c)+(a^2-b^2)^(1/2)-a)/(-a+(a^2-b^2)^(1/2)))+1/d^2/b^3*a^2*dilog((b*exp(d*x+c)+(a^2-b^2)^(1/2)+a)/(a+(a^2-b^2)^(1/2)))-2/d/b^3*a^2*c*x+1/d/b^3*ln((-b*exp(d*x+c)+(a^2-b^2)^(1/2)-a)/(-a+(a^2-b^2)^(1/2)))*a^2*x+1/d^2/b^3*ln((-b*exp(d*x+c)+(a^2-b^2)^(1/2)-a)/(-a+(a^2-b^2)^(1/2)))*a^2*c+1/d/b^3*ln((b*exp(d*x+c)+(a^2-b^2)^(1/2)+a)/(a+(a^2-b^2)^(1/2)))*a^2*x+1/d^2/b^3*ln((b*exp(d*x+c)+(a^2-b^2)^(1/2)+a)/(a+(a^2-b^2)^(1/2)))*a^2*c+2/d^2/b^3*c*a^2*ln(exp(d*x+c))-1/d^2/b^3*c*a^2*ln(b*exp(2*d*x+2*c)+2*a*exp(d*x+c)+b)+1/d^2/b*c^2-1/d^2/b*dilog((b*exp(d*x+c)+(a^2-b^2)^(1/2)+a)/(a+(a^2-b^2)^(1/2)))-1/d^2/b*dilog((-b*exp(d*x+c)+(a^2-b^2)^(1/2)-a)/(-a+(a^2-b^2)^(1/2)))+1/16*(2*d*x-1)/b/d^2*exp(2*d*x+2*c)+1/2*x^2/b","B"
237,1,415,59,0.081000," ","int(sinh(d*x+c)^3/(a+b*cosh(d*x+c)),x)","-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right) a^{2}}{d \,b^{3}}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d b}+\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}+\frac{a}{d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}+\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}+\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{a}{d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right) a^{2}}{d \,b^{3}}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d b}+\frac{\ln \left(\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b -a -b \right) a^{3}}{d \,b^{3} \left(a -b \right)}-\frac{\ln \left(\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b -a -b \right) a^{2}}{d \,b^{2} \left(a -b \right)}-\frac{\ln \left(\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b -a -b \right) a}{d b \left(a -b \right)}+\frac{\ln \left(\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b -a -b \right)}{d \left(a -b \right)}"," ",0,"-1/d/b^3*ln(tanh(1/2*d*x+1/2*c)-1)*a^2+1/d/b*ln(tanh(1/2*d*x+1/2*c)-1)+1/2/d/b/(tanh(1/2*d*x+1/2*c)-1)^2+1/d/b^2/(tanh(1/2*d*x+1/2*c)-1)*a+1/2/d/b/(tanh(1/2*d*x+1/2*c)-1)+1/2/d/b/(tanh(1/2*d*x+1/2*c)+1)^2-1/d/b^2/(tanh(1/2*d*x+1/2*c)+1)*a-1/2/d/b/(tanh(1/2*d*x+1/2*c)+1)-1/d/b^3*ln(tanh(1/2*d*x+1/2*c)+1)*a^2+1/d/b*ln(tanh(1/2*d*x+1/2*c)+1)+1/d/b^3/(a-b)*ln(tanh(1/2*d*x+1/2*c)^2*a-tanh(1/2*d*x+1/2*c)^2*b-a-b)*a^3-1/d/b^2/(a-b)*ln(tanh(1/2*d*x+1/2*c)^2*a-tanh(1/2*d*x+1/2*c)^2*b-a-b)*a^2-1/d/b/(a-b)*ln(tanh(1/2*d*x+1/2*c)^2*a-tanh(1/2*d*x+1/2*c)^2*b-a-b)*a+1/d/(a-b)*ln(tanh(1/2*d*x+1/2*c)^2*a-tanh(1/2*d*x+1/2*c)^2*b-a-b)","B"
238,0,0,26,0.505000," ","int(sinh(d*x+c)^3/x/(a+b*cosh(d*x+c)),x)","\int \frac{\sinh^{3}\left(d x +c \right)}{x \left(a +b \cosh \left(d x +c \right)\right)}\, dx"," ",0,"int(sinh(d*x+c)^3/x/(a+b*cosh(d*x+c)),x)","F"
239,0,0,54,0.100000," ","int(cosh(a+b*ln(c*x^n)),x)","\int \cosh \left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(cosh(a+b*ln(c*x^n)),x)","F"
240,0,0,88,0.498000," ","int(cosh(a+b*ln(c*x^n))^2,x)","\int \cosh^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(cosh(a+b*ln(c*x^n))^2,x)","F"
241,0,0,149,0.502000," ","int(cosh(a+b*ln(c*x^n))^3,x)","\int \cosh^{3}\left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(cosh(a+b*ln(c*x^n))^3,x)","F"
242,0,0,191,0.545000," ","int(cosh(a+b*ln(c*x^n))^4,x)","\int \cosh^{4}\left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(cosh(a+b*ln(c*x^n))^4,x)","F"
243,0,0,73,0.083000," ","int(x^m*cosh(a+b*ln(c*x^n)),x)","\int x^{m} \cosh \left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(x^m*cosh(a+b*ln(c*x^n)),x)","F"
244,0,0,120,0.428000," ","int(x^m*cosh(a+b*ln(c*x^n))^2,x)","\int x^{m} \left(\cosh^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x^m*cosh(a+b*ln(c*x^n))^2,x)","F"
245,0,0,203,0.439000," ","int(x^m*cosh(a+b*ln(c*x^n))^3,x)","\int x^{m} \left(\cosh^{3}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x^m*cosh(a+b*ln(c*x^n))^3,x)","F"
246,0,0,266,0.467000," ","int(x^m*cosh(a+b*ln(c*x^n))^4,x)","\int x^{m} \left(\cosh^{4}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x^m*cosh(a+b*ln(c*x^n))^4,x)","F"
247,1,19,18,0.049000," ","int(cosh(a+b*ln(c*x^n))/x,x)","\frac{\sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}{b n}"," ",0,"sinh(a+b*ln(c*x^n))/b/n","A"
248,1,52,35,0.084000," ","int(cosh(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"
249,1,36,40,0.213000," ","int(cosh(a+b*ln(c*x^n))^3/x,x)","\frac{\left(\frac{2}{3}+\frac{\left(\cosh^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{3}\right) \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}{n b}"," ",0,"1/n/b*(2/3+1/3*cosh(a+b*ln(c*x^n))^2)*sinh(a+b*ln(c*x^n))","A"
250,1,84,67,0.228000," ","int(cosh(a+b*ln(c*x^n))^4/x,x)","\frac{\left(\cosh^{3}\left(a +b \ln \left(c \,x^{n}\right)\right)\right) \sinh \left(a +b \ln \left(c \,x^{n}\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))^3*sinh(a+b*ln(c*x^n))/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"
251,1,51,61,0.215000," ","int(cosh(a+b*ln(c*x^n))^5/x,x)","\frac{\left(\frac{8}{15}+\frac{\left(\cosh^{4}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{5}+\frac{4 \left(\cosh^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{15}\right) \sinh \left(a +b \ln \left(c \,x^{n}\right)\right)}{n b}"," ",0,"1/n/b*(8/15+1/5*cosh(a+b*ln(c*x^n))^4+4/15*cosh(a+b*ln(c*x^n))^2)*sinh(a+b*ln(c*x^n))","A"
252,1,256,97,0.434000," ","int(cosh(a+b*ln(c*x^n))^(5/2)/x,x)","\frac{2 \sqrt{\left(2 \left(\cosh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1\right) \left(\sinh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)}\, \left(8 \left(\cosh^{7}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-16 \left(\cosh^{5}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)+10 \left(\cosh^{3}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-3 \sqrt{-\left(\sinh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)}\, \sqrt{-2 \left(\cosh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)+1}\, \EllipticE \left(\cosh \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right), \sqrt{2}\right)-2 \cosh \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)}{5 n \sqrt{2 \left(\sinh^{4}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)+\sinh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)}\, \sinh \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right) \sqrt{2 \left(\cosh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1}\, b}"," ",0,"2/5/n*((2*cosh(1/2*a+1/2*b*ln(c*x^n))^2-1)*sinh(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)*(8*cosh(1/2*a+1/2*b*ln(c*x^n))^7-16*cosh(1/2*a+1/2*b*ln(c*x^n))^5+10*cosh(1/2*a+1/2*b*ln(c*x^n))^3-3*(-sinh(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)*(-2*cosh(1/2*a+1/2*b*ln(c*x^n))^2+1)^(1/2)*EllipticE(cosh(1/2*a+1/2*b*ln(c*x^n)),2^(1/2))-2*cosh(1/2*a+1/2*b*ln(c*x^n)))/(2*sinh(1/2*a+1/2*b*ln(c*x^n))^4+sinh(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)/sinh(1/2*a+1/2*b*ln(c*x^n))/(2*cosh(1/2*a+1/2*b*ln(c*x^n))^2-1)^(1/2)/b","B"
253,1,237,97,0.418000," ","int(cosh(a+b*ln(c*x^n))^(3/2)/x,x)","\frac{2 \sqrt{\left(2 \left(\cosh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1\right) \left(\sinh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)}\, \left(4 \left(\cosh^{5}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-6 \left(\cosh^{3}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)+\sqrt{-\left(\sinh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)}\, \sqrt{-2 \left(\cosh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)+1}\, \EllipticF \left(\cosh \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right), \sqrt{2}\right)+2 \cosh \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)}{3 n \sqrt{2 \left(\sinh^{4}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)+\sinh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)}\, \sinh \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right) \sqrt{2 \left(\cosh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1}\, b}"," ",0,"2/3/n*((2*cosh(1/2*a+1/2*b*ln(c*x^n))^2-1)*sinh(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)*(4*cosh(1/2*a+1/2*b*ln(c*x^n))^5-6*cosh(1/2*a+1/2*b*ln(c*x^n))^3+(-sinh(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)*(-2*cosh(1/2*a+1/2*b*ln(c*x^n))^2+1)^(1/2)*EllipticF(cosh(1/2*a+1/2*b*ln(c*x^n)),2^(1/2))+2*cosh(1/2*a+1/2*b*ln(c*x^n)))/(2*sinh(1/2*a+1/2*b*ln(c*x^n))^4+sinh(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)/sinh(1/2*a+1/2*b*ln(c*x^n))/(2*cosh(1/2*a+1/2*b*ln(c*x^n))^2-1)^(1/2)/b","B"
254,1,183,64,0.333000," ","int(cosh(a+b*ln(c*x^n))^(1/2)/x,x)","-\frac{2 \sqrt{\left(2 \left(\cosh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1\right) \left(\sinh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)}\, \sqrt{-\left(\sinh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)}\, \sqrt{-2 \left(\cosh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)+1}\, \EllipticE \left(\cosh \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right), \sqrt{2}\right)}{n \sqrt{2 \left(\sinh^{4}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)+\sinh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)}\, \sinh \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right) \sqrt{2 \left(\cosh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1}\, b}"," ",0,"-2/n*((2*cosh(1/2*a+1/2*b*ln(c*x^n))^2-1)*sinh(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)*(-sinh(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)*(-2*cosh(1/2*a+1/2*b*ln(c*x^n))^2+1)^(1/2)*EllipticE(cosh(1/2*a+1/2*b*ln(c*x^n)),2^(1/2))/(2*sinh(1/2*a+1/2*b*ln(c*x^n))^4+sinh(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)/sinh(1/2*a+1/2*b*ln(c*x^n))/(2*cosh(1/2*a+1/2*b*ln(c*x^n))^2-1)^(1/2)/b","B"
255,1,183,64,0.299000," ","int(1/x/cosh(a+b*ln(c*x^n))^(1/2),x)","\frac{2 \sqrt{\left(2 \left(\cosh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1\right) \left(\sinh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)}\, \sqrt{-\left(\sinh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)}\, \sqrt{-2 \left(\cosh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)+1}\, \EllipticF \left(\cosh \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right), \sqrt{2}\right)}{n \sqrt{2 \left(\sinh^{4}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)+\sinh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)}\, \sinh \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right) \sqrt{2 \left(\cosh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1}\, b}"," ",0,"2/n*((2*cosh(1/2*a+1/2*b*ln(c*x^n))^2-1)*sinh(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)*(-sinh(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)*(-2*cosh(1/2*a+1/2*b*ln(c*x^n))^2+1)^(1/2)/(2*sinh(1/2*a+1/2*b*ln(c*x^n))^4+sinh(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)*EllipticF(cosh(1/2*a+1/2*b*ln(c*x^n)),2^(1/2))/sinh(1/2*a+1/2*b*ln(c*x^n))/(2*cosh(1/2*a+1/2*b*ln(c*x^n))^2-1)^(1/2)/b","B"
256,1,141,97,0.431000," ","int(1/x/cosh(a+b*ln(c*x^n))^(3/2),x)","\frac{2 \sqrt{-\left(\sinh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)}\, \sqrt{-2 \left(\sinh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1}\, \EllipticE \left(\cosh \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right), \sqrt{2}\right)+4 \cosh \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right) \left(\sinh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)}{n \sinh \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right) \sqrt{2 \left(\cosh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1}\, b}"," ",0,"2/n*((-sinh(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)*(-2*sinh(1/2*a+1/2*b*ln(c*x^n))^2-1)^(1/2)*EllipticE(cosh(1/2*a+1/2*b*ln(c*x^n)),2^(1/2))+2*cosh(1/2*a+1/2*b*ln(c*x^n))*sinh(1/2*a+1/2*b*ln(c*x^n))^2)/sinh(1/2*a+1/2*b*ln(c*x^n))/(2*cosh(1/2*a+1/2*b*ln(c*x^n))^2-1)^(1/2)/b","A"
257,1,295,97,0.395000," ","int(1/x/cosh(a+b*ln(c*x^n))^(5/2),x)","\frac{2 \left(2 \sqrt{-\left(\sinh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)}\, \sqrt{-2 \left(\sinh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1}\, \EllipticF \left(\cosh \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right), \sqrt{2}\right) \left(\sinh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)+\sqrt{-\left(\sinh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)}\, \sqrt{-2 \left(\sinh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1}\, \EllipticF \left(\cosh \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right), \sqrt{2}\right)+2 \cosh \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right) \left(\sinh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)\right) \sqrt{\left(2 \left(\cosh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1\right) \left(\sinh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)}}{3 n \sqrt{2 \left(\sinh^{4}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)+\sinh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)}\, \left(2 \left(\cosh^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1\right)^{\frac{3}{2}} \sinh \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right) b}"," ",0,"2/3/n*(2*(-sinh(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)*(-2*sinh(1/2*a+1/2*b*ln(c*x^n))^2-1)^(1/2)*EllipticF(cosh(1/2*a+1/2*b*ln(c*x^n)),2^(1/2))*sinh(1/2*a+1/2*b*ln(c*x^n))^2+(-sinh(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)*(-2*sinh(1/2*a+1/2*b*ln(c*x^n))^2-1)^(1/2)*EllipticF(cosh(1/2*a+1/2*b*ln(c*x^n)),2^(1/2))+2*cosh(1/2*a+1/2*b*ln(c*x^n))*sinh(1/2*a+1/2*b*ln(c*x^n))^2)*((2*cosh(1/2*a+1/2*b*ln(c*x^n))^2-1)*sinh(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)/(2*sinh(1/2*a+1/2*b*ln(c*x^n))^4+sinh(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)/(2*cosh(1/2*a+1/2*b*ln(c*x^n))^2-1)^(3/2)/sinh(1/2*a+1/2*b*ln(c*x^n))/b","B"
258,0,0,202,0.656000," ","int(cosh(a+2*ln(c*x^n)/n)^(5/2),x)","\int \cosh^{\frac{5}{2}}\left(a +\frac{2 \ln \left(c \,x^{n}\right)}{n}\right)\, dx"," ",0,"int(cosh(a+2*ln(c*x^n)/n)^(5/2),x)","F"
259,0,0,95,0.482000," ","int(cosh(a+2*ln(c*x^n)/n)^(1/2),x)","\int \sqrt{\cosh}\left(a +\frac{2 \ln \left(c \,x^{n}\right)}{n}\right)\, dx"," ",0,"int(cosh(a+2*ln(c*x^n)/n)^(1/2),x)","F"
260,0,0,41,0.474000," ","int(1/cosh(a+2*ln(c*x^n)/n)^(3/2),x)","\int \frac{1}{\cosh \left(a +\frac{2 \ln \left(c \,x^{n}\right)}{n}\right)^{\frac{3}{2}}}\, dx"," ",0,"int(1/cosh(a+2*ln(c*x^n)/n)^(3/2),x)","F"
261,0,0,102,0.472000," ","int(1/cosh(a+2*ln(c*x^n)/n)^(7/2),x)","\int \frac{1}{\cosh \left(a +\frac{2 \ln \left(c \,x^{n}\right)}{n}\right)^{\frac{7}{2}}}\, dx"," ",0,"int(1/cosh(a+2*ln(c*x^n)/n)^(7/2),x)","F"
262,1,347,101,0.125000," ","int(cosh((b*x+a)/(d*x+c)),x)","\frac{{\mathrm e}^{-\frac{b x +a}{d x +c}} a}{\frac{2 d a}{d x +c}-\frac{2 b c}{d x +c}}-\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"
263,1,358,107,0.419000," ","int(cosh((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"
264,1,45,68,0.217000," ","int(exp(b*x+a)*cosh(b*x+a)^4,x)","\frac{\frac{\left(\cosh^{5}\left(b x +a \right)\right)}{5}+\left(\frac{8}{15}+\frac{\left(\cosh^{4}\left(b x +a \right)\right)}{5}+\frac{4 \left(\cosh^{2}\left(b x +a \right)\right)}{15}\right) \sinh \left(b x +a \right)}{b}"," ",0,"1/b*(1/5*cosh(b*x+a)^5+(8/15+1/5*cosh(b*x+a)^4+4/15*cosh(b*x+a)^2)*sinh(b*x+a))","A"
265,1,49,46,0.227000," ","int(exp(b*x+a)*cosh(b*x+a)^3,x)","\frac{\frac{\left(\cosh^{4}\left(b x +a \right)\right)}{4}+\left(\frac{\left(\cosh^{3}\left(b x +a \right)\right)}{4}+\frac{3 \cosh \left(b x +a \right)}{8}\right) \sinh \left(b x +a \right)+\frac{3 b x}{8}+\frac{3 a}{8}}{b}"," ",0,"1/b*(1/4*cosh(b*x+a)^4+(1/4*cosh(b*x+a)^3+3/8*cosh(b*x+a))*sinh(b*x+a)+3/8*b*x+3/8*a)","A"
266,1,35,40,0.213000," ","int(exp(b*x+a)*cosh(b*x+a)^2,x)","\frac{\frac{\left(\cosh^{3}\left(b x +a \right)\right)}{3}+\left(\frac{2}{3}+\frac{\left(\cosh^{2}\left(b x +a \right)\right)}{3}\right) \sinh \left(b x +a \right)}{b}"," ",0,"1/b*(1/3*cosh(b*x+a)^3+(2/3+1/3*cosh(b*x+a)^2)*sinh(b*x+a))","A"
267,1,37,18,0.043000," ","int(exp(b*x+a)*cosh(b*x+a),x)","\frac{\frac{\left(\cosh^{2}\left(b x +a \right)\right)}{2}+\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)^2+1/2*cosh(b*x+a)*sinh(b*x+a)+1/2*b*x+1/2*a)","A"
268,1,19,16,0.029000," ","int(exp(b*x+a)*sech(b*x+a),x)","x +\frac{\ln \left(\cosh \left(b x +a \right)\right)}{b}+\frac{a}{b}"," ",0,"x+1/b*ln(cosh(b*x+a))+a/b","A"
269,1,27,37,0.075000," ","int(exp(b*x+a)*sech(b*x+a)^2,x)","-\frac{1}{b \cosh \left(b x +a \right)}+\frac{2 \arctan \left({\mathrm e}^{b x +a}\right)}{b}"," ",0,"-1/b/cosh(b*x+a)+2*arctan(exp(b*x+a))/b","A"
270,1,22,27,0.213000," ","int(exp(b*x+a)*sech(b*x+a)^3,x)","\frac{-\frac{1}{2 \cosh \left(b x +a \right)^{2}}+\tanh \left(b x +a \right)}{b}"," ",0,"1/b*(-1/2/cosh(b*x+a)^2+tanh(b*x+a))","A"
271,1,43,86,0.218000," ","int(exp(b*x+a)*sech(b*x+a)^4,x)","-\frac{1}{3 b \cosh \left(b x +a \right)^{3}}+\frac{\mathrm{sech}\left(b x +a \right) \tanh \left(b x +a \right)}{2 b}+\frac{\arctan \left({\mathrm e}^{b x +a}\right)}{b}"," ",0,"-1/3/b/cosh(b*x+a)^3+1/2/b*sech(b*x+a)*tanh(b*x+a)+arctan(exp(b*x+a))/b","A"
272,1,35,55,0.224000," ","int(exp(b*x+a)*sech(b*x+a)^5,x)","\frac{-\frac{1}{4 \cosh \left(b x +a \right)^{4}}+\left(\frac{2}{3}+\frac{\mathrm{sech}\left(b x +a \right)^{2}}{3}\right) \tanh \left(b x +a \right)}{b}"," ",0,"1/b*(-1/4/cosh(b*x+a)^4+(2/3+1/3*sech(b*x+a)^2)*tanh(b*x+a))","A"
273,1,34,19,0.096000," ","int(exp(x)*cosh(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"
274,1,22,13,0.070000," ","int(exp(x)*cosh(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"
275,1,25,66,0.141000," ","int(exp(x)*sech(2*x),x)","2 \left(\munderset{\textit{\_R} =\RootOf \left(256 \textit{\_Z}^{4}+1\right)}{\sum}\textit{\_R} \ln \left(64 \textit{\_R}^{3}+{\mathrm e}^{x}\right)\right)"," ",0,"2*sum(_R*ln(64*_R^3+exp(x)),_R=RootOf(256*_Z^4+1))","C"
276,1,36,78,0.151000," ","int(exp(x)*sech(2*x)^2,x)","-\frac{{\mathrm e}^{x}}{1+{\mathrm e}^{4 x}}+4 \left(\munderset{\textit{\_R} =\RootOf \left(65536 \textit{\_Z}^{4}+1\right)}{\sum}\textit{\_R} \ln \left({\mathrm e}^{x}+16 \textit{\_R} \right)\right)"," ",0,"-exp(x)/(1+exp(4*x))+4*sum(_R*ln(exp(x)+16*_R),_R=RootOf(65536*_Z^4+1))","C"
277,1,34,19,0.098000," ","int(exp(x)*cosh(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"
278,1,26,15,0.096000," ","int(exp(x)*cosh(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"
279,1,79,44,0.137000," ","int(exp(x)*sech(3*x),x)","-\frac{\ln \left(1+{\mathrm e}^{2 x}\right)}{3}+\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}"," ",0,"-1/3*ln(1+exp(2*x))+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)","C"
280,1,59,79,0.240000," ","int(exp(x)*sech(3*x)^2,x)","-\frac{2 \,{\mathrm e}^{x}}{3 \left(1+{\mathrm e}^{6 x}\right)}+\frac{i \ln \left({\mathrm e}^{x}+i\right)}{9}-\frac{i \ln \left({\mathrm e}^{x}-i\right)}{9}+4 \left(\munderset{\textit{\_R} =\RootOf \left(1679616 \textit{\_Z}^{4}-1296 \textit{\_Z}^{2}+1\right)}{\sum}\textit{\_R} \ln \left({\mathrm e}^{x}+36 \textit{\_R} \right)\right)"," ",0,"-2/3*exp(x)/(1+exp(6*x))+1/9*I*ln(exp(x)+I)-1/9*I*ln(exp(x)-I)+4*sum(_R*ln(exp(x)+36*_R),_R=RootOf(1679616*_Z^4-1296*_Z^2+1))","C"
281,1,34,19,0.095000," ","int(exp(x)*cosh(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"
282,1,26,15,0.092000," ","int(exp(x)*cosh(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"
283,1,25,255,0.142000," ","int(exp(x)*sech(4*x),x)","2 \left(\munderset{\textit{\_R} =\RootOf \left(16777216 \textit{\_Z}^{8}+1\right)}{\sum}\textit{\_R} \ln \left(-32768 \textit{\_R}^{5}+{\mathrm e}^{x}\right)\right)"," ",0,"2*sum(_R*ln(-32768*_R^5+exp(x)),_R=RootOf(16777216*_Z^8+1))","C"
284,1,36,263,0.164000," ","int(exp(x)*sech(4*x)^2,x)","-\frac{{\mathrm e}^{x}}{2 \left(1+{\mathrm e}^{8 x}\right)}+4 \left(\munderset{\textit{\_R} =\RootOf \left(281474976710656 \textit{\_Z}^{8}+1\right)}{\sum}\textit{\_R} \ln \left({\mathrm e}^{x}+64 \textit{\_R} \right)\right)"," ",0,"-1/2*exp(x)/(1+exp(8*x))+4*sum(_R*ln(exp(x)+64*_R),_R=RootOf(281474976710656*_Z^8+1))","C"
285,1,326,202,0.293000," ","int(F^(c*(b*x+a))*cosh(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"
286,1,143,132,0.167000," ","int(F^(c*(b*x+a))*cosh(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"
287,1,74,75,0.070000," ","int(F^(c*(b*x+a))*cosh(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"
288,0,0,64,0.080000," ","int(F^(c*(b*x+a))*sech(e*x+d),x)","\int F^{c \left(b x +a \right)} \mathrm{sech}\left(e x +d \right)\, dx"," ",0,"int(F^(c*(b*x+a))*sech(e*x+d),x)","F"
289,0,0,68,0.102000," ","int(F^(c*(b*x+a))*sech(e*x+d)^2,x)","\int F^{c \left(b x +a \right)} \mathrm{sech}\left(e x +d \right)^{2}\, dx"," ",0,"int(F^(c*(b*x+a))*sech(e*x+d)^2,x)","F"
290,0,0,116,0.112000," ","int(F^(c*(b*x+a))*sech(e*x+d)^3,x)","\int F^{c \left(b x +a \right)} \mathrm{sech}\left(e x +d \right)^{3}\, dx"," ",0,"int(F^(c*(b*x+a))*sech(e*x+d)^3,x)","F"
291,0,0,125,0.148000," ","int(F^(c*(b*x+a))*sech(e*x+d)^4,x)","\int F^{c \left(b x +a \right)} \mathrm{sech}\left(e x +d \right)^{4}\, dx"," ",0,"int(F^(c*(b*x+a))*sech(e*x+d)^4,x)","F"
292,-2,0,225,180.000000," ","int(exp(c*(b*x+a))*(cosh(b*c*x+a*c)^2)^(5/2),x)","\int {\mathrm e}^{c \left(b x +a \right)} \left(\frac{\cosh \left(2 b c x +2 a c \right)}{2}+\frac{1}{2}\right)^{\frac{5}{2}}\, dx"," ",0,"int(exp(c*(b*x+a))*(cosh(b*c*x+a*c)^2)^(5/2),x)","F"
293,-2,0,145,180.000000," ","int(exp(c*(b*x+a))*(cosh(b*c*x+a*c)^2)^(3/2),x)","\int {\mathrm e}^{c \left(b x +a \right)} \left(\frac{\cosh \left(2 b c x +2 a c \right)}{2}+\frac{1}{2}\right)^{\frac{3}{2}}\, dx"," ",0,"int(exp(c*(b*x+a))*(cosh(b*c*x+a*c)^2)^(3/2),x)","F"
294,-2,0,65,180.000000," ","int(exp(c*(b*x+a))*(cosh(b*c*x+a*c)^2)^(1/2),x)","\int {\mathrm e}^{c \left(b x +a \right)} \sqrt{\frac{\cosh \left(2 b c x +2 a c \right)}{2}+\frac{1}{2}}\, dx"," ",0,"int(exp(c*(b*x+a))*(cosh(b*c*x+a*c)^2)^(1/2),x)","F"
295,-2,0,41,180.000000," ","int(exp(c*(b*x+a))/(cosh(b*c*x+a*c)^2)^(1/2),x)","\int \frac{2 \,{\mathrm e}^{c \left(b x +a \right)}}{\sqrt{2 \cosh \left(2 b c x +2 a c \right)+2}}\, dx"," ",0,"int(exp(c*(b*x+a))/(cosh(b*c*x+a*c)^2)^(1/2),x)","F"
296,-2,0,52,180.000000," ","int(exp(c*(b*x+a))/(cosh(b*c*x+a*c)^2)^(3/2),x)","\int \frac{8 \,{\mathrm e}^{c \left(b x +a \right)}}{\left(2 \cosh \left(2 b c x +2 a c \right)+2\right)^{\frac{3}{2}}}\, dx"," ",0,"int(exp(c*(b*x+a))/(cosh(b*c*x+a*c)^2)^(3/2),x)","F"
297,-2,0,130,180.000000," ","int(exp(c*(b*x+a))/(cosh(b*c*x+a*c)^2)^(5/2),x)","\int \frac{32 \,{\mathrm e}^{c \left(b x +a \right)}}{\left(2 \cosh \left(2 b c x +2 a c \right)+2\right)^{\frac{5}{2}}}\, dx"," ",0,"int(exp(c*(b*x+a))/(cosh(b*c*x+a*c)^2)^(5/2),x)","F"
298,-2,0,173,180.000000," ","int(exp(c*(b*x+a))/(cosh(b*c*x+a*c)^2)^(7/2),x)","\int \frac{128 \,{\mathrm e}^{c \left(b x +a \right)}}{\left(2 \cosh \left(2 b c x +2 a c \right)+2\right)^{\frac{7}{2}}}\, dx"," ",0,"int(exp(c*(b*x+a))/(cosh(b*c*x+a*c)^2)^(7/2),x)","F"
299,1,62,39,0.091000," ","int(exp(x)*cosh(b*x+a),x)","\frac{\sinh \left(\left(b -1\right) x +a \right)}{2 b -2}+\frac{\sinh \left(\left(1+b \right) x +a \right)}{2+2 b}-\frac{\cosh \left(\left(b -1\right) x +a \right)}{2 \left(b -1\right)}+\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"
300,1,72,59,0.230000," ","int(exp(x)*cosh(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"
301,1,97,75,0.453000," ","int(exp(x)*cosh(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"
302,1,52,43,0.256000," ","int(exp(x^2)*cosh(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"
303,1,48,47,0.740000," ","int(exp(x^2)*cosh(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"
304,1,105,89,0.753000," ","int(exp(x^2)*cosh(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"
305,1,100,84,0.158000," ","int(f^(b*x+a)*cosh(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"
306,1,126,114,0.286000," ","int(f^(b*x+a)*cosh(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"
307,1,207,181,0.415000," ","int(f^(b*x+a)*cosh(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}} \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{\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{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,"-1/48*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))-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))-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"
308,1,126,89,0.156000," ","int(f^(b*x+a)*cosh(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{b \ln \left(f \right)-e}{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{e +b \ln \left(f \right)}{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*(b*ln(f)-e)/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*(e+b*ln(f))/(-f)^(1/2))","A"
309,1,158,127,0.283000," ","int(f^(b*x+a)*cosh(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"
310,1,265,199,0.434000," ","int(f^(b*x+a)*cosh(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}} \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{\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{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,"-1/48*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))-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))-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"
311,1,117,101,0.161000," ","int(f^(c*x^2+a)*cosh(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"
312,1,139,124,0.252000," ","int(f^(c*x^2+a)*cosh(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"
313,1,234,205,0.446000," ","int(f^(c*x^2+a)*cosh(e*x+d)^3,x)","\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{\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{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"
314,1,70,63,0.138000," ","int(f^(c*x^2+a)*cosh(f*x^2+d),x)","\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)}}+\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}}"," ",0,"1/4*Pi^(1/2)*f^a*exp(-d)/(f-c*ln(f))^(1/2)*erf(x*(f-c*ln(f))^(1/2))+1/4*Pi^(1/2)*f^a*exp(d)/(-c*ln(f)-f)^(1/2)*erf((-c*ln(f)-f)^(1/2)*x)","A"
315,1,101,100,0.267000," ","int(f^(c*x^2+a)*cosh(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"
316,1,144,137,0.370000," ","int(f^(c*x^2+a)*cosh(f*x^2+d)^3,x)","\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{\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{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)/(3*f-c*ln(f))^(1/2)*erf(x*(3*f-c*ln(f))^(1/2))+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)+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"
317,1,147,116,0.175000," ","int(f^(c*x^2+a)*cosh(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 \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)}}-\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}}"," ",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)))/(f-c*ln(f))^(1/2)*erf(x*(f-c*ln(f))^(1/2)+1/2*e/(f-c*ln(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)))/(-c*ln(f)-f)^(1/2)*erf(-(-c*ln(f)-f)^(1/2)*x+1/2*e/(-c*ln(f)-f)^(1/2))","A"
318,1,177,153,0.291000," ","int(f^(c*x^2+a)*cosh(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"
319,1,302,252,0.420000," ","int(f^(c*x^2+a)*cosh(f*x^2+e*x+d)^3,x)","\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{\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{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)))/(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))-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))+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"
320,1,156,120,0.167000," ","int(f^(c*x^2+b*x+a)*cosh(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{b \ln \left(f \right)-e}{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{e +b \ln \left(f \right)}{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*(b*ln(f)-e)/(-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*(e+b*ln(f))/(-c*ln(f))^(1/2))","A"
321,1,211,168,0.283000," ","int(f^(c*x^2+b*x+a)*cosh(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"
322,1,316,247,0.387000," ","int(f^(c*x^2+b*x+a)*cosh(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{b \ln \left(f \right)-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{\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{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*(b*ln(f)-3*e)/(-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*(3*e+b*ln(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+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"
323,1,160,130,0.183000," ","int(f^(c*x^2+b*x+a)*cosh(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(-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)}}-\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}}"," ",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)))/(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))-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))","A"
324,1,217,187,0.365000," ","int(f^(c*x^2+b*x+a)*cosh(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"
325,1,326,275,0.425000," ","int(f^(c*x^2+b*x+a)*cosh(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(-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{\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{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)))/(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))-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))-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"
326,1,186,135,0.187000," ","int(f^(c*x^2+b*x+a)*cosh(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(-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)}}-\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}}"," ",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)))/(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))-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))","A"
327,1,249,201,0.327000," ","int(f^(c*x^2+b*x+a)*cosh(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"
328,1,384,294,0.440000," ","int(f^(c*x^2+b*x+a)*cosh(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(-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{\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{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)))/(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))-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))-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"
329,-2,0,16,180.000000," ","int(x/cosh(x)^(3/2)+x*cosh(x)^(1/2),x)","\int \frac{x}{\cosh \left(x \right)^{\frac{3}{2}}}+x \left(\sqrt{\cosh}\left(x \right)\right)\, dx"," ",0,"int(x/cosh(x)^(3/2)+x*cosh(x)^(1/2),x)","F"
330,0,0,16,0.005000," ","int(x/cosh(x)^(5/2)-1/3*x/cosh(x)^(1/2),x)","\int \frac{x}{\cosh \left(x \right)^{\frac{5}{2}}}-\frac{x}{3 \sqrt{\cosh \left(x \right)}}\, dx"," ",0,"int(x/cosh(x)^(5/2)-1/3*x/cosh(x)^(1/2),x)","F"
331,-2,0,31,180.000000," ","int(x/cosh(x)^(7/2)+3/5*x*cosh(x)^(1/2),x)","\int \frac{x}{\cosh \left(x \right)^{\frac{7}{2}}}+\frac{3 x \left(\sqrt{\cosh}\left(x \right)\right)}{5}\, dx"," ",0,"int(x/cosh(x)^(7/2)+3/5*x*cosh(x)^(1/2),x)","F"
332,-2,0,47,180.000000," ","int(x^2/cosh(x)^(3/2)+x^2*cosh(x)^(1/2),x)","\int \frac{x^{2}}{\cosh \left(x \right)^{\frac{3}{2}}}+x^{2} \left(\sqrt{\cosh}\left(x \right)\right)\, dx"," ",0,"int(x^2/cosh(x)^(3/2)+x^2*cosh(x)^(1/2),x)","F"
333,1,25,24,0.031000," ","int((x+cosh(x))^2,x)","\frac{x}{2}+\frac{x^{3}}{3}-2 \cosh \left(x \right)+2 x \sinh \left(x \right)+\frac{\cosh \left(x \right) \sinh \left(x \right)}{2}"," ",0,"1/2*x+1/3*x^3-2*cosh(x)+2*x*sinh(x)+1/2*cosh(x)*sinh(x)","A"
334,1,52,46,0.220000," ","int((x+cosh(x))^3,x)","\left(\frac{2}{3}+\frac{\left(\cosh^{2}\left(x \right)\right)}{3}\right) \sinh \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} \sinh \left(x \right)-6 x \cosh \left(x \right)+6 \sinh \left(x \right)+\frac{x^{4}}{4}"," ",0,"(2/3+1/3*cosh(x)^2)*sinh(x)+3/2*x*cosh(x)*sinh(x)+3/4*x^2-3/4*cosh(x)^2+3*x^2*sinh(x)-6*x*cosh(x)+6*sinh(x)+1/4*x^4","A"
335,1,212,157,0.118000," ","int(cosh(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"
336,1,376,231,0.105000," ","int(cosh(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"