1,1,78,64,0.327000," ","int((a+b*sech(d*x+c)^2)*sinh(d*x+c)^4,x)","\frac{a \left(\left(\frac{\left(\sinh^{3}\left(d x +c \right)\right)}{4}-\frac{3 \sinh \left(d x +c \right)}{8}\right) \cosh \left(d x +c \right)+\frac{3 d x}{8}+\frac{3 c}{8}\right)+b \left(\frac{\sinh^{3}\left(d x +c \right)}{2 \cosh \left(d x +c \right)}-\frac{3 d x}{2}-\frac{3 c}{2}+\frac{3 \tanh \left(d x +c \right)}{2}\right)}{d}"," ",0,"1/d*(a*((1/4*sinh(d*x+c)^3-3/8*sinh(d*x+c))*cosh(d*x+c)+3/8*d*x+3/8*c)+b*(1/2*sinh(d*x+c)^3/cosh(d*x+c)-3/2*d*x-3/2*c+3/2*tanh(d*x+c)))","A"
2,1,56,42,0.312000," ","int((a+b*sech(d*x+c)^2)*sinh(d*x+c)^3,x)","\frac{a \left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(d x +c \right)\right)}{3}\right) \cosh \left(d x +c \right)+b \left(\frac{\sinh^{2}\left(d x +c \right)}{\cosh \left(d x +c \right)}+\frac{2}{\cosh \left(d x +c \right)}\right)}{d}"," ",0,"1/d*(a*(-2/3+1/3*sinh(d*x+c)^2)*cosh(d*x+c)+b*(sinh(d*x+c)^2/cosh(d*x+c)+2/cosh(d*x+c)))","A"
3,1,45,39,0.176000," ","int((a+b*sech(d*x+c)^2)*sinh(d*x+c)^2,x)","\frac{a \left(\frac{\cosh \left(d x +c \right) \sinh \left(d x +c \right)}{2}-\frac{d x}{2}-\frac{c}{2}\right)+b \left(d x +c -\tanh \left(d x +c \right)\right)}{d}"," ",0,"1/d*(a*(1/2*cosh(d*x+c)*sinh(d*x+c)-1/2*d*x-1/2*c)+b*(d*x+c-tanh(d*x+c)))","A"
4,1,26,24,0.090000," ","int((a+b*sech(d*x+c)^2)*sinh(d*x+c),x)","-\frac{b \,\mathrm{sech}\left(d x +c \right)-\frac{a}{\mathrm{sech}\left(d x +c \right)}}{d}"," ",0,"-1/d*(b*sech(d*x+c)-a/sech(d*x+c))","A"
5,1,36,27,0.196000," ","int(csch(d*x+c)*(a+b*sech(d*x+c)^2),x)","\frac{-2 a \arctanh \left({\mathrm e}^{d x +c}\right)+b \left(\frac{1}{\cosh \left(d x +c \right)}-2 \arctanh \left({\mathrm e}^{d x +c}\right)\right)}{d}"," ",0,"1/d*(-2*a*arctanh(exp(d*x+c))+b*(1/cosh(d*x+c)-2*arctanh(exp(d*x+c))))","A"
6,1,44,27,0.381000," ","int(csch(d*x+c)^2*(a+b*sech(d*x+c)^2),x)","\frac{-\coth \left(d x +c \right) a +b \left(-\frac{1}{\sinh \left(d x +c \right) \cosh \left(d x +c \right)}-2 \tanh \left(d x +c \right)\right)}{d}"," ",0,"1/d*(-coth(d*x+c)*a+b*(-1/sinh(d*x+c)/cosh(d*x+c)-2*tanh(d*x+c)))","A"
7,1,70,50,0.382000," ","int(csch(d*x+c)^3*(a+b*sech(d*x+c)^2),x)","\frac{a \left(-\frac{\mathrm{csch}\left(d x +c \right) \coth \left(d x +c \right)}{2}+\arctanh \left({\mathrm e}^{d x +c}\right)\right)+b \left(-\frac{1}{2 \sinh \left(d x +c \right)^{2} \cosh \left(d x +c \right)}-\frac{3}{2 \cosh \left(d x +c \right)}+3 \arctanh \left({\mathrm e}^{d x +c}\right)\right)}{d}"," ",0,"1/d*(a*(-1/2*csch(d*x+c)*coth(d*x+c)+arctanh(exp(d*x+c)))+b*(-1/2/sinh(d*x+c)^2/cosh(d*x+c)-3/2/cosh(d*x+c)+3*arctanh(exp(d*x+c))))","A"
8,1,73,43,0.437000," ","int(csch(d*x+c)^4*(a+b*sech(d*x+c)^2),x)","\frac{a \left(\frac{2}{3}-\frac{\mathrm{csch}\left(d x +c \right)^{2}}{3}\right) \coth \left(d x +c \right)+b \left(-\frac{1}{3 \sinh \left(d x +c \right)^{3} \cosh \left(d x +c \right)}+\frac{4}{3 \sinh \left(d x +c \right) \cosh \left(d x +c \right)}+\frac{8 \tanh \left(d x +c \right)}{3}\right)}{d}"," ",0,"1/d*(a*(2/3-1/3*csch(d*x+c)^2)*coth(d*x+c)+b*(-1/3/sinh(d*x+c)^3/cosh(d*x+c)+4/3/sinh(d*x+c)/cosh(d*x+c)+8/3*tanh(d*x+c)))","A"
9,1,109,104,0.343000," ","int((a+b*sech(d*x+c)^2)^2*sinh(d*x+c)^4,x)","\frac{a^{2} \left(\left(\frac{\left(\sinh^{3}\left(d x +c \right)\right)}{4}-\frac{3 \sinh \left(d x +c \right)}{8}\right) \cosh \left(d x +c \right)+\frac{3 d x}{8}+\frac{3 c}{8}\right)+2 a b \left(\frac{\sinh^{3}\left(d x +c \right)}{2 \cosh \left(d x +c \right)}-\frac{3 d x}{2}-\frac{3 c}{2}+\frac{3 \tanh \left(d x +c \right)}{2}\right)+b^{2} \left(d x +c -\tanh \left(d x +c \right)-\frac{\left(\tanh^{3}\left(d x +c \right)\right)}{3}\right)}{d}"," ",0,"1/d*(a^2*((1/4*sinh(d*x+c)^3-3/8*sinh(d*x+c))*cosh(d*x+c)+3/8*d*x+3/8*c)+2*a*b*(1/2*sinh(d*x+c)^3/cosh(d*x+c)-3/2*d*x-3/2*c+3/2*tanh(d*x+c))+b^2*(d*x+c-tanh(d*x+c)-1/3*tanh(d*x+c)^3))","A"
10,1,93,68,0.329000," ","int((a+b*sech(d*x+c)^2)^2*sinh(d*x+c)^3,x)","\frac{a^{2} \left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(d x +c \right)\right)}{3}\right) \cosh \left(d x +c \right)+2 a b \left(\frac{\sinh^{2}\left(d x +c \right)}{\cosh \left(d x +c \right)}+\frac{2}{\cosh \left(d x +c \right)}\right)+b^{2} \left(-\frac{\sinh^{2}\left(d x +c \right)}{\cosh \left(d x +c \right)^{3}}-\frac{2}{3 \cosh \left(d x +c \right)^{3}}\right)}{d}"," ",0,"1/d*(a^2*(-2/3+1/3*sinh(d*x+c)^2)*cosh(d*x+c)+2*a*b*(sinh(d*x+c)^2/cosh(d*x+c)+2/cosh(d*x+c))+b^2*(-sinh(d*x+c)^2/cosh(d*x+c)^3-2/3/cosh(d*x+c)^3))","A"
11,1,90,65,0.336000," ","int((a+b*sech(d*x+c)^2)^2*sinh(d*x+c)^2,x)","\frac{a^{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 \left(d x +c -\tanh \left(d x +c \right)\right)+b^{2} \left(-\frac{\sinh \left(d x +c \right)}{2 \cosh \left(d x +c \right)^{3}}+\frac{\left(\frac{2}{3}+\frac{\mathrm{sech}\left(d x +c \right)^{2}}{3}\right) \tanh \left(d x +c \right)}{2}\right)}{d}"," ",0,"1/d*(a^2*(1/2*cosh(d*x+c)*sinh(d*x+c)-1/2*d*x-1/2*c)+2*a*b*(d*x+c-tanh(d*x+c))+b^2*(-1/2*sinh(d*x+c)/cosh(d*x+c)^3+1/2*(2/3+1/3*sech(d*x+c)^2)*tanh(d*x+c)))","A"
12,1,43,43,0.096000," ","int((a+b*sech(d*x+c)^2)^2*sinh(d*x+c),x)","-\frac{\frac{b^{2} \mathrm{sech}\left(d x +c \right)^{3}}{3}+2 a b \,\mathrm{sech}\left(d x +c \right)-\frac{a^{2}}{\mathrm{sech}\left(d x +c \right)}}{d}"," ",0,"-1/d*(1/3*b^2*sech(d*x+c)^3+2*a*b*sech(d*x+c)-a^2/sech(d*x+c))","A"
13,1,72,50,0.215000," ","int(csch(d*x+c)*(a+b*sech(d*x+c)^2)^2,x)","\frac{-2 a^{2} \arctanh \left({\mathrm e}^{d x +c}\right)+2 a b \left(\frac{1}{\cosh \left(d x +c \right)}-2 \arctanh \left({\mathrm e}^{d x +c}\right)\right)+b^{2} \left(\frac{1}{3 \cosh \left(d x +c \right)^{3}}+\frac{1}{\cosh \left(d x +c \right)}-2 \arctanh \left({\mathrm e}^{d x +c}\right)\right)}{d}"," ",0,"1/d*(-2*a^2*arctanh(exp(d*x+c))+2*a*b*(1/cosh(d*x+c)-2*arctanh(exp(d*x+c)))+b^2*(1/3/cosh(d*x+c)^3+1/cosh(d*x+c)-2*arctanh(exp(d*x+c))))","A"
14,1,91,48,0.490000," ","int(csch(d*x+c)^2*(a+b*sech(d*x+c)^2)^2,x)","\frac{-a^{2} \coth \left(d x +c \right)+2 a b \left(-\frac{1}{\sinh \left(d x +c \right) \cosh \left(d x +c \right)}-2 \tanh \left(d x +c \right)\right)+b^{2} \left(-\frac{1}{\sinh \left(d x +c \right) \cosh \left(d x +c \right)^{3}}-4 \left(\frac{2}{3}+\frac{\mathrm{sech}\left(d x +c \right)^{2}}{3}\right) \tanh \left(d x +c \right)\right)}{d}"," ",0,"1/d*(-a^2*coth(d*x+c)+2*a*b*(-1/sinh(d*x+c)/cosh(d*x+c)-2*tanh(d*x+c))+b^2*(-1/sinh(d*x+c)/cosh(d*x+c)^3-4*(2/3+1/3*sech(d*x+c)^2)*tanh(d*x+c)))","A"
15,1,126,96,0.425000," ","int(csch(d*x+c)^3*(a+b*sech(d*x+c)^2)^2,x)","\frac{a^{2} \left(-\frac{\mathrm{csch}\left(d x +c \right) \coth \left(d x +c \right)}{2}+\arctanh \left({\mathrm e}^{d x +c}\right)\right)+2 a b \left(-\frac{1}{2 \sinh \left(d x +c \right)^{2} \cosh \left(d x +c \right)}-\frac{3}{2 \cosh \left(d x +c \right)}+3 \arctanh \left({\mathrm e}^{d x +c}\right)\right)+b^{2} \left(-\frac{1}{2 \sinh \left(d x +c \right)^{2} \cosh \left(d x +c \right)^{3}}-\frac{5}{6 \cosh \left(d x +c \right)^{3}}-\frac{5}{2 \cosh \left(d x +c \right)}+5 \arctanh \left({\mathrm e}^{d x +c}\right)\right)}{d}"," ",0,"1/d*(a^2*(-1/2*csch(d*x+c)*coth(d*x+c)+arctanh(exp(d*x+c)))+2*a*b*(-1/2/sinh(d*x+c)^2/cosh(d*x+c)-3/2/cosh(d*x+c)+3*arctanh(exp(d*x+c)))+b^2*(-1/2/sinh(d*x+c)^2/cosh(d*x+c)^3-5/6/cosh(d*x+c)^3-5/2/cosh(d*x+c)+5*arctanh(exp(d*x+c))))","A"
16,1,138,71,0.549000," ","int(csch(d*x+c)^4*(a+b*sech(d*x+c)^2)^2,x)","\frac{a^{2} \left(\frac{2}{3}-\frac{\mathrm{csch}\left(d x +c \right)^{2}}{3}\right) \coth \left(d x +c \right)+2 a b \left(-\frac{1}{3 \sinh \left(d x +c \right)^{3} \cosh \left(d x +c \right)}+\frac{4}{3 \sinh \left(d x +c \right) \cosh \left(d x +c \right)}+\frac{8 \tanh \left(d x +c \right)}{3}\right)+b^{2} \left(-\frac{1}{3 \sinh \left(d x +c \right)^{3} \cosh \left(d x +c \right)^{3}}+\frac{2}{\sinh \left(d x +c \right) \cosh \left(d x +c \right)^{3}}+8 \left(\frac{2}{3}+\frac{\mathrm{sech}\left(d x +c \right)^{2}}{3}\right) \tanh \left(d x +c \right)\right)}{d}"," ",0,"1/d*(a^2*(2/3-1/3*csch(d*x+c)^2)*coth(d*x+c)+2*a*b*(-1/3/sinh(d*x+c)^3/cosh(d*x+c)+4/3/sinh(d*x+c)/cosh(d*x+c)+8/3*tanh(d*x+c))+b^2*(-1/3/sinh(d*x+c)^3/cosh(d*x+c)^3+2/sinh(d*x+c)/cosh(d*x+c)^3+8*(2/3+1/3*sech(d*x+c)^2)*tanh(d*x+c)))","A"
17,1,182,170,0.440000," ","int((a+b*sech(d*x+c)^2)^3*sinh(d*x+c)^4,x)","\frac{a^{3} \left(\left(\frac{\left(\sinh^{3}\left(d x +c \right)\right)}{4}-\frac{3 \sinh \left(d x +c \right)}{8}\right) \cosh \left(d x +c \right)+\frac{3 d x}{8}+\frac{3 c}{8}\right)+3 a^{2} b \left(\frac{\sinh^{3}\left(d x +c \right)}{2 \cosh \left(d x +c \right)}-\frac{3 d x}{2}-\frac{3 c}{2}+\frac{3 \tanh \left(d x +c \right)}{2}\right)+3 a \,b^{2} \left(d x +c -\tanh \left(d x +c \right)-\frac{\left(\tanh^{3}\left(d x +c \right)\right)}{3}\right)+b^{3} \left(-\frac{\sinh^{3}\left(d x +c \right)}{2 \cosh \left(d x +c \right)^{5}}-\frac{3 \sinh \left(d x +c \right)}{8 \cosh \left(d x +c \right)^{5}}+\frac{3 \left(\frac{8}{15}+\frac{\mathrm{sech}\left(d x +c \right)^{4}}{5}+\frac{4 \mathrm{sech}\left(d x +c \right)^{2}}{15}\right) \tanh \left(d x +c \right)}{8}\right)}{d}"," ",0,"1/d*(a^3*((1/4*sinh(d*x+c)^3-3/8*sinh(d*x+c))*cosh(d*x+c)+3/8*d*x+3/8*c)+3*a^2*b*(1/2*sinh(d*x+c)^3/cosh(d*x+c)-3/2*d*x-3/2*c+3/2*tanh(d*x+c))+3*a*b^2*(d*x+c-tanh(d*x+c)-1/3*tanh(d*x+c)^3)+b^3*(-1/2*sinh(d*x+c)^3/cosh(d*x+c)^5-3/8*sinh(d*x+c)/cosh(d*x+c)^5+3/8*(8/15+1/5*sech(d*x+c)^4+4/15*sech(d*x+c)^2)*tanh(d*x+c)))","A"
18,1,130,93,0.371000," ","int((a+b*sech(d*x+c)^2)^3*sinh(d*x+c)^3,x)","\frac{a^{3} \left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(d x +c \right)\right)}{3}\right) \cosh \left(d x +c \right)+3 a^{2} b \left(\frac{\sinh^{2}\left(d x +c \right)}{\cosh \left(d x +c \right)}+\frac{2}{\cosh \left(d x +c \right)}\right)+3 a \,b^{2} \left(-\frac{\sinh^{2}\left(d x +c \right)}{\cosh \left(d x +c \right)^{3}}-\frac{2}{3 \cosh \left(d x +c \right)^{3}}\right)+b^{3} \left(-\frac{\sinh^{2}\left(d x +c \right)}{3 \cosh \left(d x +c \right)^{5}}-\frac{2}{15 \cosh \left(d x +c \right)^{5}}\right)}{d}"," ",0,"1/d*(a^3*(-2/3+1/3*sinh(d*x+c)^2)*cosh(d*x+c)+3*a^2*b*(sinh(d*x+c)^2/cosh(d*x+c)+2/cosh(d*x+c))+3*a*b^2*(-sinh(d*x+c)^2/cosh(d*x+c)^3-2/3/cosh(d*x+c)^3)+b^3*(-1/3*sinh(d*x+c)^2/cosh(d*x+c)^5-2/15/cosh(d*x+c)^5))","A"
19,1,145,102,0.418000," ","int((a+b*sech(d*x+c)^2)^3*sinh(d*x+c)^2,x)","\frac{a^{3} \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 \left(d x +c -\tanh \left(d x +c \right)\right)+3 a \,b^{2} \left(-\frac{\sinh \left(d x +c \right)}{2 \cosh \left(d x +c \right)^{3}}+\frac{\left(\frac{2}{3}+\frac{\mathrm{sech}\left(d x +c \right)^{2}}{3}\right) \tanh \left(d x +c \right)}{2}\right)+b^{3} \left(-\frac{\sinh \left(d x +c \right)}{4 \cosh \left(d x +c \right)^{5}}+\frac{\left(\frac{8}{15}+\frac{\mathrm{sech}\left(d x +c \right)^{4}}{5}+\frac{4 \mathrm{sech}\left(d x +c \right)^{2}}{15}\right) \tanh \left(d x +c \right)}{4}\right)}{d}"," ",0,"1/d*(a^3*(1/2*cosh(d*x+c)*sinh(d*x+c)-1/2*d*x-1/2*c)+3*a^2*b*(d*x+c-tanh(d*x+c))+3*a*b^2*(-1/2*sinh(d*x+c)/cosh(d*x+c)^3+1/2*(2/3+1/3*sech(d*x+c)^2)*tanh(d*x+c))+b^3*(-1/4*sinh(d*x+c)/cosh(d*x+c)^5+1/4*(8/15+1/5*sech(d*x+c)^4+4/15*sech(d*x+c)^2)*tanh(d*x+c)))","A"
20,1,58,62,0.130000," ","int((a+b*sech(d*x+c)^2)^3*sinh(d*x+c),x)","-\frac{\frac{b^{3} \mathrm{sech}\left(d x +c \right)^{5}}{5}+a \,b^{2} \mathrm{sech}\left(d x +c \right)^{3}+3 a^{2} b \,\mathrm{sech}\left(d x +c \right)-\frac{a^{3}}{\mathrm{sech}\left(d x +c \right)}}{d}"," ",0,"-1/d*(1/5*b^3*sech(d*x+c)^5+a*b^2*sech(d*x+c)^3+3*a^2*b*sech(d*x+c)-a^3/sech(d*x+c))","A"
21,1,118,79,0.245000," ","int(csch(d*x+c)*(a+b*sech(d*x+c)^2)^3,x)","\frac{-2 a^{3} \arctanh \left({\mathrm e}^{d x +c}\right)+3 a^{2} b \left(\frac{1}{\cosh \left(d x +c \right)}-2 \arctanh \left({\mathrm e}^{d x +c}\right)\right)+3 a \,b^{2} \left(\frac{1}{3 \cosh \left(d x +c \right)^{3}}+\frac{1}{\cosh \left(d x +c \right)}-2 \arctanh \left({\mathrm e}^{d x +c}\right)\right)+b^{3} \left(\frac{1}{5 \cosh \left(d x +c \right)^{5}}+\frac{1}{3 \cosh \left(d x +c \right)^{3}}+\frac{1}{\cosh \left(d x +c \right)}-2 \arctanh \left({\mathrm e}^{d x +c}\right)\right)}{d}"," ",0,"1/d*(-2*a^3*arctanh(exp(d*x+c))+3*a^2*b*(1/cosh(d*x+c)-2*arctanh(exp(d*x+c)))+3*a*b^2*(1/3/cosh(d*x+c)^3+1/cosh(d*x+c)-2*arctanh(exp(d*x+c)))+b^3*(1/5/cosh(d*x+c)^5+1/3/cosh(d*x+c)^3+1/cosh(d*x+c)-2*arctanh(exp(d*x+c))))","A"
22,1,148,68,0.591000," ","int(csch(d*x+c)^2*(a+b*sech(d*x+c)^2)^3,x)","\frac{-a^{3} \coth \left(d x +c \right)+3 a^{2} b \left(-\frac{1}{\sinh \left(d x +c \right) \cosh \left(d x +c \right)}-2 \tanh \left(d x +c \right)\right)+3 a \,b^{2} \left(-\frac{1}{\sinh \left(d x +c \right) \cosh \left(d x +c \right)^{3}}-4 \left(\frac{2}{3}+\frac{\mathrm{sech}\left(d x +c \right)^{2}}{3}\right) \tanh \left(d x +c \right)\right)+b^{3} \left(-\frac{1}{\sinh \left(d x +c \right) \cosh \left(d x +c \right)^{5}}-6 \left(\frac{8}{15}+\frac{\mathrm{sech}\left(d x +c \right)^{4}}{5}+\frac{4 \mathrm{sech}\left(d x +c \right)^{2}}{15}\right) \tanh \left(d x +c \right)\right)}{d}"," ",0,"1/d*(-a^3*coth(d*x+c)+3*a^2*b*(-1/sinh(d*x+c)/cosh(d*x+c)-2*tanh(d*x+c))+3*a*b^2*(-1/sinh(d*x+c)/cosh(d*x+c)^3-4*(2/3+1/3*sech(d*x+c)^2)*tanh(d*x+c))+b^3*(-1/sinh(d*x+c)/cosh(d*x+c)^5-6*(8/15+1/5*sech(d*x+c)^4+4/15*sech(d*x+c)^2)*tanh(d*x+c)))","B"
23,1,192,134,0.443000," ","int(csch(d*x+c)^3*(a+b*sech(d*x+c)^2)^3,x)","\frac{a^{3} \left(-\frac{\mathrm{csch}\left(d x +c \right) \coth \left(d x +c \right)}{2}+\arctanh \left({\mathrm e}^{d x +c}\right)\right)+3 a^{2} b \left(-\frac{1}{2 \sinh \left(d x +c \right)^{2} \cosh \left(d x +c \right)}-\frac{3}{2 \cosh \left(d x +c \right)}+3 \arctanh \left({\mathrm e}^{d x +c}\right)\right)+3 a \,b^{2} \left(-\frac{1}{2 \sinh \left(d x +c \right)^{2} \cosh \left(d x +c \right)^{3}}-\frac{5}{6 \cosh \left(d x +c \right)^{3}}-\frac{5}{2 \cosh \left(d x +c \right)}+5 \arctanh \left({\mathrm e}^{d x +c}\right)\right)+b^{3} \left(-\frac{1}{2 \sinh \left(d x +c \right)^{2} \cosh \left(d x +c \right)^{5}}-\frac{7}{10 \cosh \left(d x +c \right)^{5}}-\frac{7}{6 \cosh \left(d x +c \right)^{3}}-\frac{7}{2 \cosh \left(d x +c \right)}+7 \arctanh \left({\mathrm e}^{d x +c}\right)\right)}{d}"," ",0,"1/d*(a^3*(-1/2*csch(d*x+c)*coth(d*x+c)+arctanh(exp(d*x+c)))+3*a^2*b*(-1/2/sinh(d*x+c)^2/cosh(d*x+c)-3/2/cosh(d*x+c)+3*arctanh(exp(d*x+c)))+3*a*b^2*(-1/2/sinh(d*x+c)^2/cosh(d*x+c)^3-5/6/cosh(d*x+c)^3-5/2/cosh(d*x+c)+5*arctanh(exp(d*x+c)))+b^3*(-1/2/sinh(d*x+c)^2/cosh(d*x+c)^5-7/10/cosh(d*x+c)^5-7/6/cosh(d*x+c)^3-7/2/cosh(d*x+c)+7*arctanh(exp(d*x+c))))","A"
24,1,213,98,0.659000," ","int(csch(d*x+c)^4*(a+b*sech(d*x+c)^2)^3,x)","\frac{a^{3} \left(\frac{2}{3}-\frac{\mathrm{csch}\left(d x +c \right)^{2}}{3}\right) \coth \left(d x +c \right)+3 a^{2} b \left(-\frac{1}{3 \sinh \left(d x +c \right)^{3} \cosh \left(d x +c \right)}+\frac{4}{3 \sinh \left(d x +c \right) \cosh \left(d x +c \right)}+\frac{8 \tanh \left(d x +c \right)}{3}\right)+3 a \,b^{2} \left(-\frac{1}{3 \sinh \left(d x +c \right)^{3} \cosh \left(d x +c \right)^{3}}+\frac{2}{\sinh \left(d x +c \right) \cosh \left(d x +c \right)^{3}}+8 \left(\frac{2}{3}+\frac{\mathrm{sech}\left(d x +c \right)^{2}}{3}\right) \tanh \left(d x +c \right)\right)+b^{3} \left(-\frac{1}{3 \sinh \left(d x +c \right)^{3} \cosh \left(d x +c \right)^{5}}+\frac{8}{3 \sinh \left(d x +c \right) \cosh \left(d x +c \right)^{5}}+16 \left(\frac{8}{15}+\frac{\mathrm{sech}\left(d x +c \right)^{4}}{5}+\frac{4 \mathrm{sech}\left(d x +c \right)^{2}}{15}\right) \tanh \left(d x +c \right)\right)}{d}"," ",0,"1/d*(a^3*(2/3-1/3*csch(d*x+c)^2)*coth(d*x+c)+3*a^2*b*(-1/3/sinh(d*x+c)^3/cosh(d*x+c)+4/3/sinh(d*x+c)/cosh(d*x+c)+8/3*tanh(d*x+c))+3*a*b^2*(-1/3/sinh(d*x+c)^3/cosh(d*x+c)^3+2/sinh(d*x+c)/cosh(d*x+c)^3+8*(2/3+1/3*sech(d*x+c)^2)*tanh(d*x+c))+b^3*(-1/3/sinh(d*x+c)^3/cosh(d*x+c)^5+8/3/sinh(d*x+c)/cosh(d*x+c)^5+16*(8/15+1/5*sech(d*x+c)^4+4/15*sech(d*x+c)^2)*tanh(d*x+c)))","B"
25,1,708,103,0.411000," ","int(sinh(d*x+c)^4/(a+b*sech(d*x+c)^2),x)","\frac{1}{4 d a \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{4}}+\frac{1}{2 d a \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{3}}-\frac{1}{8 d a \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}-\frac{b}{2 d \,a^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}-\frac{3}{8 d a \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}-\frac{b}{2 d \,a^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}-\frac{3 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{8 d a}-\frac{3 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right) b}{2 d \,a^{2}}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right) b^{2}}{d \,a^{3}}-\frac{1}{4 d a \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{4}}+\frac{1}{2 d a \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}+\frac{1}{8 d a \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{b}{2 d \,a^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{3}{8 d a \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{b}{2 d \,a^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}+\frac{3 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{8 d a}+\frac{3 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right) b}{2 d \,a^{2}}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right) b^{2}}{d \,a^{3}}+\frac{\sqrt{b}\, \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d a \sqrt{a +b}}+\frac{b^{\frac{3}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{d \,a^{2} \sqrt{a +b}}+\frac{b^{\frac{5}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d \,a^{3} \sqrt{a +b}}-\frac{\sqrt{b}\, \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d a \sqrt{a +b}}-\frac{b^{\frac{3}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{d \,a^{2} \sqrt{a +b}}-\frac{b^{\frac{5}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d \,a^{3} \sqrt{a +b}}"," ",0,"1/4/d/a/(tanh(1/2*d*x+1/2*c)-1)^4+1/2/d/a/(tanh(1/2*d*x+1/2*c)-1)^3-1/8/d/a/(tanh(1/2*d*x+1/2*c)-1)^2-1/2/d/a^2/(tanh(1/2*d*x+1/2*c)-1)^2*b-3/8/d/a/(tanh(1/2*d*x+1/2*c)-1)-1/2/d/a^2/(tanh(1/2*d*x+1/2*c)-1)*b-3/8/d/a*ln(tanh(1/2*d*x+1/2*c)-1)-3/2/d/a^2*ln(tanh(1/2*d*x+1/2*c)-1)*b-1/d/a^3*ln(tanh(1/2*d*x+1/2*c)-1)*b^2-1/4/d/a/(tanh(1/2*d*x+1/2*c)+1)^4+1/2/d/a/(tanh(1/2*d*x+1/2*c)+1)^3+1/8/d/a/(tanh(1/2*d*x+1/2*c)+1)^2+1/2/d/a^2/(tanh(1/2*d*x+1/2*c)+1)^2*b-3/8/d/a/(tanh(1/2*d*x+1/2*c)+1)-1/2/d/a^2/(tanh(1/2*d*x+1/2*c)+1)*b+3/8/d/a*ln(tanh(1/2*d*x+1/2*c)+1)+3/2/d/a^2*ln(tanh(1/2*d*x+1/2*c)+1)*b+1/d/a^3*ln(tanh(1/2*d*x+1/2*c)+1)*b^2+1/2/d/a*b^(1/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2-2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))+1/d/a^2*b^(3/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2-2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))+1/2/d/a^3*b^(5/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2-2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-1/2/d/a*b^(1/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-1/d/a^2*b^(3/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-1/2/d/a^3*b^(5/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))","B"
26,1,261,61,0.336000," ","int(sinh(d*x+c)^3/(a+b*sech(d*x+c)^2),x)","-\frac{1}{3 d a \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{3}}-\frac{1}{2 d a \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}+\frac{1}{2 d a \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}+\frac{b}{d \,a^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}+\frac{1}{3 d a \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}-\frac{1}{2 d a \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{1}{2 d a \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{b}{d \,a^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}+\frac{b \arctan \left(\frac{2 \left(a +b \right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 a -2 b}{4 \sqrt{a b}}\right)}{d a \sqrt{a b}}+\frac{b^{2} \arctan \left(\frac{2 \left(a +b \right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 a -2 b}{4 \sqrt{a b}}\right)}{d \,a^{2} \sqrt{a b}}"," ",0,"-1/3/d/a/(tanh(1/2*d*x+1/2*c)-1)^3-1/2/d/a/(tanh(1/2*d*x+1/2*c)-1)^2+1/2/d/a/(tanh(1/2*d*x+1/2*c)-1)+1/d/a^2/(tanh(1/2*d*x+1/2*c)-1)*b+1/3/d/a/(tanh(1/2*d*x+1/2*c)+1)^3-1/2/d/a/(tanh(1/2*d*x+1/2*c)+1)^2-1/2/d/a/(tanh(1/2*d*x+1/2*c)+1)-1/d/a^2/(tanh(1/2*d*x+1/2*c)+1)*b+1/d*b/a/(a*b)^(1/2)*arctan(1/4*(2*(a+b)*tanh(1/2*d*x+1/2*c)^2+2*a-2*b)/(a*b)^(1/2))+1/d*b^2/a^2/(a*b)^(1/2)*arctan(1/4*(2*(a+b)*tanh(1/2*d*x+1/2*c)^2+2*a-2*b)/(a*b)^(1/2))","B"
27,1,383,63,0.319000," ","int(sinh(d*x+c)^2/(a+b*sech(d*x+c)^2),x)","\frac{1}{2 d a \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}+\frac{1}{2 d a \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)}{2 d a}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right) b}{d \,a^{2}}-\frac{1}{2 d a \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{1}{2 d a \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)}{2 d a}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right) b}{d \,a^{2}}-\frac{\sqrt{b}\, \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d a \sqrt{a +b}}+\frac{\sqrt{b}\, \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d a \sqrt{a +b}}-\frac{b^{\frac{3}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d \,a^{2} \sqrt{a +b}}+\frac{b^{\frac{3}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d \,a^{2} \sqrt{a +b}}"," ",0,"1/2/d/a/(tanh(1/2*d*x+1/2*c)-1)^2+1/2/d/a/(tanh(1/2*d*x+1/2*c)-1)+1/2/d/a*ln(tanh(1/2*d*x+1/2*c)-1)+1/d/a^2*ln(tanh(1/2*d*x+1/2*c)-1)*b-1/2/d/a/(tanh(1/2*d*x+1/2*c)+1)^2+1/2/d/a/(tanh(1/2*d*x+1/2*c)+1)-1/2/d/a*ln(tanh(1/2*d*x+1/2*c)+1)-1/d/a^2*ln(tanh(1/2*d*x+1/2*c)+1)*b-1/2/d/a*b^(1/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2-2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))+1/2/d/a*b^(1/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-1/2/d/a^2*b^(3/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2-2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))+1/2/d/a^2*b^(3/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))","B"
28,1,44,39,0.079000," ","int(sinh(d*x+c)/(a+b*sech(d*x+c)^2),x)","\frac{b \arctan \left(\frac{\mathrm{sech}\left(d x +c \right) b}{\sqrt{a b}}\right)}{d a \sqrt{a b}}+\frac{1}{d a \,\mathrm{sech}\left(d x +c \right)}"," ",0,"1/d/a*b/(a*b)^(1/2)*arctan(sech(d*x+c)*b/(a*b)^(1/2))+1/d/a/sech(d*x+c)","A"
29,1,67,47,0.250000," ","int(csch(d*x+c)/(a+b*sech(d*x+c)^2),x)","\frac{b \arctan \left(\frac{2 \left(a +b \right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 a -2 b}{4 \sqrt{a b}}\right)}{d \left(a +b \right) \sqrt{a b}}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(a +b \right)}"," ",0,"1/d*b/(a+b)/(a*b)^(1/2)*arctan(1/4*(2*(a+b)*tanh(1/2*d*x+1/2*c)^2+2*a-2*b)/(a*b)^(1/2))+1/d/(a+b)*ln(tanh(1/2*d*x+1/2*c))","A"
30,1,147,45,0.300000," ","int(csch(d*x+c)^2/(a+b*sech(d*x+c)^2),x)","-\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{2 d \left(a +b \right)}-\frac{1}{2 d \left(a +b \right) \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}-\frac{\sqrt{b}\, \ln \left(-\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\sqrt{a +b}\right)}{2 d \left(a +b \right)^{\frac{3}{2}}}+\frac{\sqrt{b}\, \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d \left(a +b \right)^{\frac{3}{2}}}"," ",0,"-1/2/d/(a+b)*tanh(1/2*d*x+1/2*c)-1/2/d/(a+b)/tanh(1/2*d*x+1/2*c)-1/2/d*b^(1/2)/(a+b)^(3/2)*ln(-(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)-(a+b)^(1/2))+1/2/d*b^(1/2)/(a+b)^(3/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))","B"
31,1,134,75,0.325000," ","int(csch(d*x+c)^3/(a+b*sech(d*x+c)^2),x)","\frac{\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)}{8 d \left(a +b \right)}-\frac{a b \arctan \left(\frac{2 \left(a +b \right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 a -2 b}{4 \sqrt{a b}}\right)}{d \left(a +b \right)^{2} \sqrt{a b}}-\frac{1}{8 d \left(a +b \right) \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)^{2}}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right) a}{2 d \left(a +b \right)^{2}}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{2 d \left(a +b \right)^{2}}"," ",0,"1/8/d*tanh(1/2*d*x+1/2*c)^2/(a+b)-1/d*a*b/(a+b)^2/(a*b)^(1/2)*arctan(1/4*(2*(a+b)*tanh(1/2*d*x+1/2*c)^2+2*a-2*b)/(a*b)^(1/2))-1/8/d/(a+b)/tanh(1/2*d*x+1/2*c)^2-1/2/d/(a+b)^2*ln(tanh(1/2*d*x+1/2*c))*a+1/2/d/(a+b)^2*ln(tanh(1/2*d*x+1/2*c))*b","A"
32,1,258,65,0.357000," ","int(csch(d*x+c)^4/(a+b*sech(d*x+c)^2),x)","-\frac{a \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{24 d \left(a +b \right)^{2}}-\frac{\left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{24 d \left(a +b \right)^{2}}+\frac{3 a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{8 d \left(a +b \right)^{2}}-\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b}{8 d \left(a +b \right)^{2}}+\frac{a \sqrt{b}\, \ln \left(-\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\sqrt{a +b}\right)}{2 d \left(a +b \right)^{\frac{5}{2}}}-\frac{a \sqrt{b}\, \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d \left(a +b \right)^{\frac{5}{2}}}-\frac{1}{24 d \left(a +b \right) \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)^{3}}+\frac{3 a}{8 d \left(a +b \right)^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}-\frac{b}{8 d \left(a +b \right)^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}"," ",0,"-1/24/d/(a+b)^2*a*tanh(1/2*d*x+1/2*c)^3-1/24/d/(a+b)^2*tanh(1/2*d*x+1/2*c)^3*b+3/8/d/(a+b)^2*a*tanh(1/2*d*x+1/2*c)-1/8/d/(a+b)^2*tanh(1/2*d*x+1/2*c)*b+1/2/d*a*b^(1/2)/(a+b)^(5/2)*ln(-(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)-(a+b)^(1/2))-1/2/d*a*b^(1/2)/(a+b)^(5/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-1/24/d/(a+b)/tanh(1/2*d*x+1/2*c)^3+3/8/d/(a+b)^2/tanh(1/2*d*x+1/2*c)*a-1/8/d/(a+b)^2/tanh(1/2*d*x+1/2*c)*b","B"
33,1,1034,176,0.395000," ","int(sinh(d*x+c)^4/(a+b*sech(d*x+c)^2)^2,x)","-\frac{9 b^{\frac{3}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{4 d \,a^{3} \sqrt{a +b}}-\frac{3 b^{\frac{5}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d \,a^{4} \sqrt{a +b}}+\frac{9 b^{\frac{3}{2}} \ln \left(-\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\sqrt{a +b}\right)}{4 d \,a^{3} \sqrt{a +b}}-\frac{b}{d \,a^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}-\frac{b}{d \,a^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}-\frac{3 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right) b}{d \,a^{3}}-\frac{3 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right) b^{2}}{d \,a^{4}}+\frac{b}{d \,a^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{b}{d \,a^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}+\frac{3 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right) b}{d \,a^{3}}+\frac{3 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right) b^{2}}{d \,a^{4}}+\frac{1}{4 d \,a^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{4}}+\frac{1}{2 d \,a^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{3}}-\frac{1}{8 d \,a^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}-\frac{3}{8 d \,a^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}-\frac{3 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{8 d \,a^{2}}-\frac{1}{4 d \,a^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{4}}+\frac{1}{2 d \,a^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}+\frac{1}{8 d \,a^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{3}{8 d \,a^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}+\frac{3 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{8 d \,a^{2}}-\frac{b \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}-\frac{b^{2} \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}-\frac{b \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}-\frac{b^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d \,a^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}+\frac{3 \sqrt{b}\, \ln \left(-\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\sqrt{a +b}\right)}{4 d \,a^{2} \sqrt{a +b}}-\frac{3 \sqrt{b}\, \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{4 d \,a^{2} \sqrt{a +b}}+\frac{3 b^{\frac{5}{2}} \ln \left(-\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\sqrt{a +b}\right)}{2 d \,a^{4} \sqrt{a +b}}"," ",0,"-9/4/d/a^3*b^(3/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-1/d/a^3/(tanh(1/2*d*x+1/2*c)-1)^2*b-1/d/a^3/(tanh(1/2*d*x+1/2*c)-1)*b-3/d/a^3*ln(tanh(1/2*d*x+1/2*c)-1)*b-3/d/a^4*ln(tanh(1/2*d*x+1/2*c)-1)*b^2+1/d/a^3/(tanh(1/2*d*x+1/2*c)+1)^2*b-1/d/a^3/(tanh(1/2*d*x+1/2*c)+1)*b+3/d/a^3*ln(tanh(1/2*d*x+1/2*c)+1)*b+3/d/a^4*ln(tanh(1/2*d*x+1/2*c)+1)*b^2+1/4/d/a^2/(tanh(1/2*d*x+1/2*c)-1)^4+1/2/d/a^2/(tanh(1/2*d*x+1/2*c)-1)^3-1/8/d/a^2/(tanh(1/2*d*x+1/2*c)-1)^2-3/8/d/a^2/(tanh(1/2*d*x+1/2*c)-1)-3/8/d/a^2*ln(tanh(1/2*d*x+1/2*c)-1)-1/4/d/a^2/(tanh(1/2*d*x+1/2*c)+1)^4+1/2/d/a^2/(tanh(1/2*d*x+1/2*c)+1)^3+1/8/d/a^2/(tanh(1/2*d*x+1/2*c)+1)^2-3/8/d/a^2/(tanh(1/2*d*x+1/2*c)+1)+3/8/d/a^2*ln(tanh(1/2*d*x+1/2*c)+1)-3/2/d/a^4*b^(5/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))+9/4/d/a^3*b^(3/2)/(a+b)^(1/2)*ln(-(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)-(a+b)^(1/2))-1/d/a^2*b/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)*tanh(1/2*d*x+1/2*c)^3-1/d/a^3*b^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)*tanh(1/2*d*x+1/2*c)^3-1/d/a^2*b/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)*tanh(1/2*d*x+1/2*c)-1/d/a^3*b^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)*tanh(1/2*d*x+1/2*c)+3/4/d/a^2*b^(1/2)/(a+b)^(1/2)*ln(-(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)-(a+b)^(1/2))-3/4/d/a^2*b^(1/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))+3/2/d/a^4*b^(5/2)/(a+b)^(1/2)*ln(-(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)-(a+b)^(1/2))","B"
34,1,561,100,0.368000," ","int(sinh(d*x+c)^3/(a+b*sech(d*x+c)^2)^2,x)","-\frac{1}{3 d \,a^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{3}}-\frac{1}{2 d \,a^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}+\frac{1}{2 d \,a^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}+\frac{2 b}{d \,a^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}+\frac{1}{3 d \,a^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}-\frac{1}{2 d \,a^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{1}{2 d \,a^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{2 b}{d \,a^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{b \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}+\frac{b^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}-\frac{b}{d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}-\frac{b^{2}}{d \,a^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}+\frac{3 b \arctan \left(\frac{2 \left(a +b \right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 a -2 b}{4 \sqrt{a b}}\right)}{2 d \,a^{2} \sqrt{a b}}+\frac{5 b^{2} \arctan \left(\frac{2 \left(a +b \right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 a -2 b}{4 \sqrt{a b}}\right)}{2 d \,a^{3} \sqrt{a b}}"," ",0,"-1/3/d/a^2/(tanh(1/2*d*x+1/2*c)-1)^3-1/2/d/a^2/(tanh(1/2*d*x+1/2*c)-1)^2+1/2/d/a^2/(tanh(1/2*d*x+1/2*c)-1)+2/d/a^3/(tanh(1/2*d*x+1/2*c)-1)*b+1/3/d/a^2/(tanh(1/2*d*x+1/2*c)+1)^3-1/2/d/a^2/(tanh(1/2*d*x+1/2*c)+1)^2-1/2/d/a^2/(tanh(1/2*d*x+1/2*c)+1)-2/d/a^3/(tanh(1/2*d*x+1/2*c)+1)*b-1/d/a^2*b/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)*tanh(1/2*d*x+1/2*c)^2+1/d/a^3*b^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)*tanh(1/2*d*x+1/2*c)^2-1/d/a^2*b/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)-1/d/a^3*b^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)+3/2/d/a^2*b/(a*b)^(1/2)*arctan(1/4*(2*(a+b)*tanh(1/2*d*x+1/2*c)^2+2*a-2*b)/(a*b)^(1/2))+5/2/d/a^3*b^2/(a*b)^(1/2)*arctan(1/4*(2*(a+b)*tanh(1/2*d*x+1/2*c)^2+2*a-2*b)/(a*b)^(1/2))","B"
35,1,543,117,0.371000," ","int(sinh(d*x+c)^2/(a+b*sech(d*x+c)^2)^2,x)","\frac{1}{2 d \,a^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}+\frac{1}{2 d \,a^{2} \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)}{2 d \,a^{2}}+\frac{2 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right) b}{d \,a^{3}}-\frac{1}{2 d \,a^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{1}{2 d \,a^{2} \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)}{2 d \,a^{2}}-\frac{2 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right) b}{d \,a^{3}}+\frac{b \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}+\frac{b \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}-\frac{3 \sqrt{b}\, \ln \left(-\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\sqrt{a +b}\right)}{4 d \,a^{2} \sqrt{a +b}}+\frac{3 \sqrt{b}\, \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{4 d \,a^{2} \sqrt{a +b}}-\frac{b^{\frac{3}{2}} \ln \left(-\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\sqrt{a +b}\right)}{d \,a^{3} \sqrt{a +b}}+\frac{b^{\frac{3}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{d \,a^{3} \sqrt{a +b}}"," ",0,"1/2/d/a^2/(tanh(1/2*d*x+1/2*c)-1)^2+1/2/d/a^2/(tanh(1/2*d*x+1/2*c)-1)+1/2/d/a^2*ln(tanh(1/2*d*x+1/2*c)-1)+2/d/a^3*ln(tanh(1/2*d*x+1/2*c)-1)*b-1/2/d/a^2/(tanh(1/2*d*x+1/2*c)+1)^2+1/2/d/a^2/(tanh(1/2*d*x+1/2*c)+1)-1/2/d/a^2*ln(tanh(1/2*d*x+1/2*c)+1)-2/d/a^3*ln(tanh(1/2*d*x+1/2*c)+1)*b+1/d/a^2*b/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)*tanh(1/2*d*x+1/2*c)^3+1/d/a^2*b/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)*tanh(1/2*d*x+1/2*c)-3/4/d/a^2*b^(1/2)/(a+b)^(1/2)*ln(-(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)-(a+b)^(1/2))+3/4/d/a^2*b^(1/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-1/d/a^3*b^(3/2)/(a+b)^(1/2)*ln(-(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)-(a+b)^(1/2))+1/d/a^3*b^(3/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))","B"
36,1,74,70,0.172000," ","int(sinh(d*x+c)/(a+b*sech(d*x+c)^2)^2,x)","\frac{b \,\mathrm{sech}\left(d x +c \right)}{2 d \,a^{2} \left(a +b \mathrm{sech}\left(d x +c \right)^{2}\right)}+\frac{3 b \arctan \left(\frac{\mathrm{sech}\left(d x +c \right) b}{\sqrt{a b}}\right)}{2 d \,a^{2} \sqrt{a b}}+\frac{1}{d \,a^{2} \mathrm{sech}\left(d x +c \right)}"," ",0,"1/2/d/a^2*b*sech(d*x+c)/(a+b*sech(d*x+c)^2)+3/2/d/a^2*b/(a*b)^(1/2)*arctan(sech(d*x+c)*b/(a*b)^(1/2))+1/d/a^2/sech(d*x+c)","A"
37,1,431,87,0.336000," ","int(csch(d*x+c)/(a+b*sech(d*x+c)^2)^2,x)","-\frac{b \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(a +b \right)^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}+\frac{b^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(a +b \right)^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right) a}-\frac{b}{d \left(a +b \right)^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}-\frac{b^{2}}{d \left(a +b \right)^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right) a}+\frac{3 b \arctan \left(\frac{2 \left(a +b \right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 a -2 b}{4 \sqrt{a b}}\right)}{2 d \left(a +b \right)^{2} \sqrt{a b}}+\frac{b^{2} \arctan \left(\frac{2 \left(a +b \right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 a -2 b}{4 \sqrt{a b}}\right)}{2 d \left(a +b \right)^{2} a \sqrt{a b}}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(a +b \right)^{2}}"," ",0,"-1/d*b/(a+b)^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)*tanh(1/2*d*x+1/2*c)^2+1/d*b^2/(a+b)^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)/a*tanh(1/2*d*x+1/2*c)^2-1/d*b/(a+b)^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)-1/d*b^2/(a+b)^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)/a+3/2/d*b/(a+b)^2/(a*b)^(1/2)*arctan(1/4*(2*(a+b)*tanh(1/2*d*x+1/2*c)^2+2*a-2*b)/(a*b)^(1/2))+1/2/d*b^2/(a+b)^2/a/(a*b)^(1/2)*arctan(1/4*(2*(a+b)*tanh(1/2*d*x+1/2*c)^2+2*a-2*b)/(a*b)^(1/2))+1/d/(a+b)^2*ln(tanh(1/2*d*x+1/2*c))","B"
38,1,313,78,0.394000," ","int(csch(d*x+c)^2/(a+b*sech(d*x+c)^2)^2,x)","-\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{2 d \left(a^{2}+2 a b +b^{2}\right)}+\frac{b \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(a +b \right)^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}+\frac{b \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d \left(a +b \right)^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}-\frac{3 \sqrt{b}\, \ln \left(-\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\sqrt{a +b}\right)}{4 d \left(a +b \right)^{\frac{5}{2}}}+\frac{3 \sqrt{b}\, \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{4 d \left(a +b \right)^{\frac{5}{2}}}-\frac{1}{2 d \left(a +b \right)^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}"," ",0,"-1/2/d/(a^2+2*a*b+b^2)*tanh(1/2*d*x+1/2*c)+1/d*b/(a+b)^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)*tanh(1/2*d*x+1/2*c)^3+1/d*b/(a+b)^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)*tanh(1/2*d*x+1/2*c)-3/4/d*b^(1/2)/(a+b)^(5/2)*ln(-(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)-(a+b)^(1/2))+3/4/d*b^(1/2)/(a+b)^(5/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-1/2/d/(a+b)^2/tanh(1/2*d*x+1/2*c)","B"
39,1,496,131,0.423000," ","int(csch(d*x+c)^3/(a+b*sech(d*x+c)^2)^2,x)","\frac{\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)}{8 d \left(a^{2}+2 a b +b^{2}\right)}+\frac{b a \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}-\frac{b^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}+\frac{b a}{d \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}+\frac{b^{2}}{d \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}-\frac{3 b \arctan \left(\frac{2 \left(a +b \right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 a -2 b}{4 \sqrt{a b}}\right) a}{2 d \left(a +b \right)^{3} \sqrt{a b}}+\frac{b^{2} \arctan \left(\frac{2 \left(a +b \right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 a -2 b}{4 \sqrt{a b}}\right)}{2 d \left(a +b \right)^{3} \sqrt{a b}}-\frac{1}{8 d \left(a +b \right)^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)^{2}}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right) a}{2 d \left(a +b \right)^{3}}+\frac{3 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{2 d \left(a +b \right)^{3}}"," ",0,"1/8/d*tanh(1/2*d*x+1/2*c)^2/(a^2+2*a*b+b^2)+1/d*b/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)*a*tanh(1/2*d*x+1/2*c)^2-1/d*b^2/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)*tanh(1/2*d*x+1/2*c)^2+1/d*b/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)*a+1/d*b^2/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)-3/2/d*b/(a+b)^3/(a*b)^(1/2)*arctan(1/4*(2*(a+b)*tanh(1/2*d*x+1/2*c)^2+2*a-2*b)/(a*b)^(1/2))*a+1/2/d*b^2/(a+b)^3/(a*b)^(1/2)*arctan(1/4*(2*(a+b)*tanh(1/2*d*x+1/2*c)^2+2*a-2*b)/(a*b)^(1/2))-1/8/d/(a+b)^2/tanh(1/2*d*x+1/2*c)^2-1/2/d/(a+b)^3*ln(tanh(1/2*d*x+1/2*c))*a+3/2/d/(a+b)^3*ln(tanh(1/2*d*x+1/2*c))*b","B"
40,1,577,109,0.504000," ","int(csch(d*x+c)^4/(a+b*sech(d*x+c)^2)^2,x)","-\frac{a \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{24 d \left(a +b \right) \left(a^{2}+2 a b +b^{2}\right)}-\frac{\left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{24 d \left(a +b \right) \left(a^{2}+2 a b +b^{2}\right)}+\frac{3 a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{8 d \left(a +b \right) \left(a^{2}+2 a b +b^{2}\right)}-\frac{5 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b}{8 d \left(a +b \right) \left(a^{2}+2 a b +b^{2}\right)}-\frac{b a \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}-\frac{b a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}+\frac{3 \sqrt{b}\, a \ln \left(-\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\sqrt{a +b}\right)}{4 d \left(a +b \right)^{\frac{7}{2}}}-\frac{3 \sqrt{b}\, a \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{4 d \left(a +b \right)^{\frac{7}{2}}}-\frac{b^{\frac{3}{2}} \ln \left(-\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\sqrt{a +b}\right)}{2 d \left(a +b \right)^{\frac{7}{2}}}+\frac{b^{\frac{3}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d \left(a +b \right)^{\frac{7}{2}}}-\frac{1}{24 d \left(a +b \right)^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)^{3}}+\frac{3 a}{8 d \left(a +b \right)^{3} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}-\frac{5 b}{8 d \left(a +b \right)^{3} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}"," ",0,"-1/24/d/(a+b)/(a^2+2*a*b+b^2)*a*tanh(1/2*d*x+1/2*c)^3-1/24/d/(a+b)/(a^2+2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^3*b+3/8/d/(a+b)/(a^2+2*a*b+b^2)*a*tanh(1/2*d*x+1/2*c)-5/8/d/(a+b)/(a^2+2*a*b+b^2)*tanh(1/2*d*x+1/2*c)*b-1/d*b/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)*a*tanh(1/2*d*x+1/2*c)^3-1/d*b/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)*a*tanh(1/2*d*x+1/2*c)+3/4/d*b^(1/2)/(a+b)^(7/2)*a*ln(-(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)-(a+b)^(1/2))-3/4/d*b^(1/2)/(a+b)^(7/2)*a*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-1/2/d*b^(3/2)/(a+b)^(7/2)*ln(-(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)-(a+b)^(1/2))+1/2/d*b^(3/2)/(a+b)^(7/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-1/24/d/(a+b)^2/tanh(1/2*d*x+1/2*c)^3+3/8/d/(a+b)^3/tanh(1/2*d*x+1/2*c)*a-5/8/d/(a+b)^3/tanh(1/2*d*x+1/2*c)*b","B"
41,1,1668,222,0.426000," ","int(sinh(d*x+c)^4/(a+b*sech(d*x+c)^2)^3,x)","\frac{3 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{8 d \,a^{3}}-\frac{3 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{8 d \,a^{3}}+\frac{1}{8 d \,a^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{3}{8 d \,a^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}+\frac{3 b^{3} \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{4} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{21 b^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{4 d \,a^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{35 b^{2} \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \,a^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}+\frac{15 b^{\frac{3}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{4 d \,a^{4} \sqrt{a +b}}-\frac{27 b \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}+\frac{15 \sqrt{b}\, \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{16 d \,a^{3} \sqrt{a +b}}-\frac{9 b \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}+\frac{1}{4 d \,a^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{4}}+\frac{1}{2 d \,a^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{3}}-\frac{1}{8 d \,a^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}-\frac{3}{8 d \,a^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}-\frac{1}{4 d \,a^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{4}}+\frac{1}{2 d \,a^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}-\frac{3 b}{2 d \,a^{4} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}-\frac{9 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right) b}{2 d \,a^{4}}-\frac{6 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right) b^{2}}{d \,a^{5}}+\frac{3 b}{2 d \,a^{4} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{3 b}{2 d \,a^{4} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}+\frac{9 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right) b}{2 d \,a^{4}}+\frac{6 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right) b^{2}}{d \,a^{5}}-\frac{3 b}{2 d \,a^{4} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}+\frac{3 b^{3} \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{4} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{27 b \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{3 b^{3} \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{4} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{21 b^{2} \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \,a^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{15 b^{\frac{3}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{4 d \,a^{4} \sqrt{a +b}}-\frac{3 b^{\frac{5}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{d \,a^{5} \sqrt{a +b}}-\frac{9 b \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{4 d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{3 b^{3} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d \,a^{4} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}+\frac{3 b^{\frac{5}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{d \,a^{5} \sqrt{a +b}}-\frac{15 \sqrt{b}\, \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{16 d \,a^{3} \sqrt{a +b}}-\frac{35 b^{2} \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \,a^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}"," ",0,"3/8/d/a^3*ln(tanh(1/2*d*x+1/2*c)+1)-3/8/d/a^3*ln(tanh(1/2*d*x+1/2*c)-1)+1/8/d/a^3/(tanh(1/2*d*x+1/2*c)+1)^2-3/8/d/a^3/(tanh(1/2*d*x+1/2*c)+1)+1/4/d/a^3/(tanh(1/2*d*x+1/2*c)-1)^4+1/2/d/a^3/(tanh(1/2*d*x+1/2*c)-1)^3-1/8/d/a^3/(tanh(1/2*d*x+1/2*c)-1)^2-3/8/d/a^3/(tanh(1/2*d*x+1/2*c)-1)-1/4/d/a^3/(tanh(1/2*d*x+1/2*c)+1)^4+1/2/d/a^3/(tanh(1/2*d*x+1/2*c)+1)^3-3/2/d/a^4/(tanh(1/2*d*x+1/2*c)-1)*b-9/2/d/a^4*ln(tanh(1/2*d*x+1/2*c)-1)*b-6/d/a^5*ln(tanh(1/2*d*x+1/2*c)-1)*b^2+3/2/d/a^4/(tanh(1/2*d*x+1/2*c)+1)^2*b-3/2/d/a^4/(tanh(1/2*d*x+1/2*c)+1)*b+9/2/d/a^4*ln(tanh(1/2*d*x+1/2*c)+1)*b+6/d/a^5*ln(tanh(1/2*d*x+1/2*c)+1)*b^2-15/16/d/a^3*b^(1/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-35/4/d/a^3*b^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^5+3/d/a^4*b^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^3-21/4/d/a^3*b^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)-35/4/d/a^3*b^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^3-3/2/d/a^4/(tanh(1/2*d*x+1/2*c)-1)^2*b+15/4/d/a^4*b^(3/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2-2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-27/4/d/a^2*b/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^5+15/16/d/a^3*b^(1/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2-2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-9/4/d/a^2*b/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^7+3/d/a^4*b^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^5-27/4/d/a^2*b/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^3-3/d/a^4*b^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^7-21/4/d/a^3*b^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^7-15/4/d/a^4*b^(3/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-3/d/a^5*b^(5/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-9/4/d/a^2*b/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)-3/d/a^4*b^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)+3/d/a^5*b^(5/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2-2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))","B"
42,1,1296,138,0.381000," ","int(sinh(d*x+c)^3/(a+b*sech(d*x+c)^2)^3,x)","-\frac{1}{3 d \,a^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{3}}-\frac{1}{2 d \,a^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}+\frac{1}{2 d \,a^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}+\frac{3 b}{d \,a^{4} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}+\frac{1}{3 d \,a^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}-\frac{1}{2 d \,a^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{1}{2 d \,a^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{3 b}{d \,a^{4} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{9 b \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}+\frac{b^{2} \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{2 d \,a^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}+\frac{11 b^{3} \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \,a^{4} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{27 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d a \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)}-\frac{15 b^{2} \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)}-\frac{5 b^{3} \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \,a^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)}-\frac{33 b^{4} \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \,a^{4} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)}-\frac{27 b \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{5 b^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{2 d \,a^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}+\frac{33 b^{3} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \,a^{4} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{9 b}{4 d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{5 b^{2}}{d \,a^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{11 b^{3}}{4 d \,a^{4} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}+\frac{15 b \arctan \left(\frac{2 \left(a +b \right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 a -2 b}{4 \sqrt{a b}}\right)}{8 d \,a^{3} \sqrt{a b}}+\frac{35 b^{2} \arctan \left(\frac{2 \left(a +b \right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 a -2 b}{4 \sqrt{a b}}\right)}{8 d \,a^{4} \sqrt{a b}}"," ",0,"-1/3/d/a^3/(tanh(1/2*d*x+1/2*c)-1)^3-1/2/d/a^3/(tanh(1/2*d*x+1/2*c)-1)^2+1/2/d/a^3/(tanh(1/2*d*x+1/2*c)-1)+3/d/a^4/(tanh(1/2*d*x+1/2*c)-1)*b+1/3/d/a^3/(tanh(1/2*d*x+1/2*c)+1)^3-1/2/d/a^3/(tanh(1/2*d*x+1/2*c)+1)^2-1/2/d/a^3/(tanh(1/2*d*x+1/2*c)+1)-3/d/a^4/(tanh(1/2*d*x+1/2*c)+1)*b-9/4/d/a^2*b/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^6+1/2/d/a^3*b^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^6+11/4/d/a^4*b^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^6-27/4/d/a*b/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)*tanh(1/2*d*x+1/2*c)^4-15/4/d/a^2*b^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)*tanh(1/2*d*x+1/2*c)^4-5/4/d/a^3*b^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)*tanh(1/2*d*x+1/2*c)^4-33/4/d/a^4*b^4/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)*tanh(1/2*d*x+1/2*c)^4-27/4/d/a^2*b/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^2-5/2/d/a^3*b^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^2+33/4/d/a^4*b^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^2-9/4/d/a^2*b/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2-5/d/a^3*b^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2-11/4/d/a^4*b^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2+15/8/d/a^3*b/(a*b)^(1/2)*arctan(1/4*(2*(a+b)*tanh(1/2*d*x+1/2*c)^2+2*a-2*b)/(a*b)^(1/2))+35/8/d/a^4*b^2/(a*b)^(1/2)*arctan(1/4*(2*(a+b)*tanh(1/2*d*x+1/2*c)^2+2*a-2*b)/(a*b)^(1/2))","B"
43,1,1329,169,0.389000," ","int(sinh(d*x+c)^2/(a+b*sech(d*x+c)^2)^3,x)","\frac{1}{2 d \,a^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}+\frac{1}{2 d \,a^{3} \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)}{2 d \,a^{3}}+\frac{3 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right) b}{d \,a^{4}}-\frac{1}{2 d \,a^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{1}{2 d \,a^{3} \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)}{2 d \,a^{3}}-\frac{3 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right) b}{d \,a^{4}}+\frac{9 b \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}+\frac{2 b^{2} \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}+\frac{27 b \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d a \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)}+\frac{23 b^{2} \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)}-\frac{2 b^{3} \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)}+\frac{27 b \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d a \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)}+\frac{23 b^{2} \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)}-\frac{2 b^{3} \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)}+\frac{9 b \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{4 d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}+\frac{2 b^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d \,a^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{15 \sqrt{b}\, \ln \left(-\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\sqrt{a +b}\right)}{16 d \,a^{2} \left(a +b \right)^{\frac{3}{2}}}-\frac{5 b^{\frac{3}{2}} \ln \left(-\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\sqrt{a +b}\right)}{2 d \,a^{3} \left(a +b \right)^{\frac{3}{2}}}-\frac{3 b^{\frac{5}{2}} \ln \left(-\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\sqrt{a +b}\right)}{2 d \,a^{4} \left(a +b \right)^{\frac{3}{2}}}+\frac{15 \sqrt{b}\, \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{16 d \,a^{2} \left(a +b \right)^{\frac{3}{2}}}+\frac{5 b^{\frac{3}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d \,a^{3} \left(a +b \right)^{\frac{3}{2}}}+\frac{3 b^{\frac{5}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d \,a^{4} \left(a +b \right)^{\frac{3}{2}}}"," ",0,"1/2/d/a^3/(tanh(1/2*d*x+1/2*c)-1)^2+1/2/d/a^3/(tanh(1/2*d*x+1/2*c)-1)+1/2/d/a^3*ln(tanh(1/2*d*x+1/2*c)-1)+3/d/a^4*ln(tanh(1/2*d*x+1/2*c)-1)*b-1/2/d/a^3/(tanh(1/2*d*x+1/2*c)+1)^2+1/2/d/a^3/(tanh(1/2*d*x+1/2*c)+1)-1/2/d/a^3*ln(tanh(1/2*d*x+1/2*c)+1)-3/d/a^4*ln(tanh(1/2*d*x+1/2*c)+1)*b+9/4/d/a^2*b/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^7+2/d/a^3*b^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^7+27/4/d*b/a/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)*tanh(1/2*d*x+1/2*c)^5+23/4/d*b^2/a^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)*tanh(1/2*d*x+1/2*c)^5-2/d*b^3/a^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)*tanh(1/2*d*x+1/2*c)^5+27/4/d*b/a/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)*tanh(1/2*d*x+1/2*c)^3+23/4/d*b^2/a^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)*tanh(1/2*d*x+1/2*c)^3-2/d*b^3/a^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)*tanh(1/2*d*x+1/2*c)^3+9/4/d/a^2*b/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)+2/d/a^3*b^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)-15/16/d*b^(1/2)/a^2/(a+b)^(3/2)*ln(-(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)-(a+b)^(1/2))-5/2/d*b^(3/2)/a^3/(a+b)^(3/2)*ln(-(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)-(a+b)^(1/2))-3/2/d*b^(5/2)/a^4/(a+b)^(3/2)*ln(-(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)-(a+b)^(1/2))+15/16/d*b^(1/2)/a^2/(a+b)^(3/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))+5/2/d*b^(3/2)/a^3/(a+b)^(3/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))+3/2/d*b^(5/2)/a^4/(a+b)^(3/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))","B"
44,1,107,100,0.168000," ","int(sinh(d*x+c)/(a+b*sech(d*x+c)^2)^3,x)","\frac{7 b^{2} \mathrm{sech}\left(d x +c \right)^{3}}{8 d \,a^{3} \left(a +b \mathrm{sech}\left(d x +c \right)^{2}\right)^{2}}+\frac{9 b \,\mathrm{sech}\left(d x +c \right)}{8 d \,a^{2} \left(a +b \mathrm{sech}\left(d x +c \right)^{2}\right)^{2}}+\frac{15 b \arctan \left(\frac{\mathrm{sech}\left(d x +c \right) b}{\sqrt{a b}}\right)}{8 d \,a^{3} \sqrt{a b}}+\frac{1}{d \,a^{3} \mathrm{sech}\left(d x +c \right)}"," ",0,"7/8/d/a^3*b^2/(a+b*sech(d*x+c)^2)^2*sech(d*x+c)^3+9/8/d/a^2*b/(a+b*sech(d*x+c)^2)^2*sech(d*x+c)+15/8/d/a^3*b/(a*b)^(1/2)*arctan(sech(d*x+c)*b/(a*b)^(1/2))+1/d/a^3/sech(d*x+c)","A"
45,1,1476,140,0.359000," ","int(csch(d*x+c)/(a+b*sech(d*x+c)^2)^3,x)","-\frac{9 b a \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}+\frac{b^{2} \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}+\frac{13 b^{3} \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} a}+\frac{3 b^{4} \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} a^{2}}-\frac{27 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a}{4 d \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}+\frac{9 b^{2} \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{21 b^{3} \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} a}-\frac{9 b^{4} \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} a^{2}}-\frac{27 b a \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{13 b^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}+\frac{23 b^{3} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} a}+\frac{9 b^{4} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} a^{2}}-\frac{9 b a}{4 d \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{21 b^{2}}{4 d \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{15 b^{3}}{4 d \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} a}-\frac{3 b^{4}}{4 d \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} a^{2}}+\frac{15 b \arctan \left(\frac{2 \left(a +b \right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 a -2 b}{4 \sqrt{a b}}\right)}{8 d \left(a +b \right)^{3} \sqrt{a b}}+\frac{5 b^{2} \arctan \left(\frac{2 \left(a +b \right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 a -2 b}{4 \sqrt{a b}}\right)}{4 d \left(a +b \right)^{3} a \sqrt{a b}}+\frac{3 b^{3} \arctan \left(\frac{2 \left(a +b \right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 a -2 b}{4 \sqrt{a b}}\right)}{8 d \left(a +b \right)^{3} a^{2} \sqrt{a b}}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(a +b \right)^{3}}"," ",0,"-9/4/d*b/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*a*tanh(1/2*d*x+1/2*c)^6+1/4/d*b^2/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^6+13/4/d*b^3/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/a*tanh(1/2*d*x+1/2*c)^6+3/4/d*b^4/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/a^2*tanh(1/2*d*x+1/2*c)^6-27/4/d*b/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^4*a+9/4/d*b^2/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^4-21/4/d*b^3/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/a*tanh(1/2*d*x+1/2*c)^4-9/4/d*b^4/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/a^2*tanh(1/2*d*x+1/2*c)^4-27/4/d*b/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*a*tanh(1/2*d*x+1/2*c)^2-13/4/d*b^2/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^2+23/4/d*b^3/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/a*tanh(1/2*d*x+1/2*c)^2+9/4/d*b^4/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/a^2*tanh(1/2*d*x+1/2*c)^2-9/4/d*b/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*a-21/4/d*b^2/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2-15/4/d*b^3/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/a-3/4/d*b^4/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/a^2+15/8/d*b/(a+b)^3/(a*b)^(1/2)*arctan(1/4*(2*(a+b)*tanh(1/2*d*x+1/2*c)^2+2*a-2*b)/(a*b)^(1/2))+5/4/d*b^2/(a+b)^3/a/(a*b)^(1/2)*arctan(1/4*(2*(a+b)*tanh(1/2*d*x+1/2*c)^2+2*a-2*b)/(a*b)^(1/2))+3/8/d*b^3/(a+b)^3/a^2/(a*b)^(1/2)*arctan(1/4*(2*(a+b)*tanh(1/2*d*x+1/2*c)^2+2*a-2*b)/(a*b)^(1/2))+1/d/(a+b)^3*ln(tanh(1/2*d*x+1/2*c))","B"
46,1,816,110,0.406000," ","int(csch(d*x+c)^2/(a+b*sech(d*x+c)^2)^3,x)","-\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{2 d \left(a^{3}+3 a^{2} b +3 a \,b^{2}+b^{3}\right)}+\frac{9 b \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a}{4 d \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}+\frac{9 b^{2} \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}+\frac{27 b \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a}{4 d \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{b^{2} \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}+\frac{27 b \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a}{4 d \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{b^{2} \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}+\frac{9 b \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) a}{4 d \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}+\frac{9 b^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{4 d \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{15 \sqrt{b}\, \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{16 d \left(a +b \right)^{\frac{7}{2}}}+\frac{15 \sqrt{b}\, \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{16 d \left(a +b \right)^{\frac{7}{2}}}-\frac{1}{2 d \left(a +b \right)^{3} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}"," ",0,"-1/2/d/(a^3+3*a^2*b+3*a*b^2+b^3)*tanh(1/2*d*x+1/2*c)+9/4/d*b/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^7*a+9/4/d*b^2/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^7+27/4/d*b/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^5*a-1/4/d*b^2/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^5+27/4/d*b/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^3*a-1/4/d*b^2/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^3+9/4/d*b/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)*a+9/4/d*b^2/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)-15/16/d*b^(1/2)/(a+b)^(7/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2-2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))+15/16/d*b^(1/2)/(a+b)^(7/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-1/2/d/(a+b)^3/tanh(1/2*d*x+1/2*c)","B"
47,1,1555,195,0.447000," ","int(csch(d*x+c)^3/(a+b*sech(d*x+c)^2)^3,x)","\frac{\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)}{8 d \left(a^{3}+3 a^{2} b +3 a \,b^{2}+b^{3}\right)}+\frac{9 b \,a^{2} \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(a +b \right)^{4} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{5 b^{2} a \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(a +b \right)^{4} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{13 b^{3} \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(a +b \right)^{4} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}+\frac{b^{4} \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(a +b \right)^{4} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} a}+\frac{27 b \,a^{2} \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(a +b \right)^{4} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{21 b^{2} a \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(a +b \right)^{4} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}+\frac{29 b^{3} \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(a +b \right)^{4} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{3 b^{4} \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(a +b \right)^{4} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} a}+\frac{27 b \,a^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(a +b \right)^{4} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}+\frac{b^{2} a \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(a +b \right)^{4} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{23 b^{3} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(a +b \right)^{4} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}+\frac{3 b^{4} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(a +b \right)^{4} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} a}+\frac{9 b \,a^{2}}{4 d \left(a +b \right)^{4} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}+\frac{17 b^{2} a}{4 d \left(a +b \right)^{4} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}+\frac{7 b^{3}}{4 d \left(a +b \right)^{4} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{b^{4}}{4 d \left(a +b \right)^{4} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} a}-\frac{15 b a \arctan \left(\frac{2 \left(a +b \right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 a -2 b}{4 \sqrt{a b}}\right)}{8 d \left(a +b \right)^{4} \sqrt{a b}}+\frac{5 b^{2} \arctan \left(\frac{2 \left(a +b \right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 a -2 b}{4 \sqrt{a b}}\right)}{4 d \left(a +b \right)^{4} \sqrt{a b}}+\frac{b^{3} \arctan \left(\frac{2 \left(a +b \right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 a -2 b}{4 \sqrt{a b}}\right)}{8 d \left(a +b \right)^{4} a \sqrt{a b}}-\frac{1}{8 d \left(a +b \right)^{3} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)^{2}}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right) a}{2 d \left(a +b \right)^{4}}+\frac{5 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{2 d \left(a +b \right)^{4}}"," ",0,"1/8/d*tanh(1/2*d*x+1/2*c)^2/(a^3+3*a^2*b+3*a*b^2+b^3)+9/4/d*b/(a+b)^4/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*a^2*tanh(1/2*d*x+1/2*c)^6-5/4/d*b^2/(a+b)^4/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*a*tanh(1/2*d*x+1/2*c)^6-13/4/d*b^3/(a+b)^4/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^6+1/4/d*b^4/(a+b)^4/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/a*tanh(1/2*d*x+1/2*c)^6+27/4/d*b/(a+b)^4/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*a^2*tanh(1/2*d*x+1/2*c)^4-21/4/d*b^2/(a+b)^4/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*a*tanh(1/2*d*x+1/2*c)^4+29/4/d*b^3/(a+b)^4/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^4-3/4/d*b^4/(a+b)^4/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/a*tanh(1/2*d*x+1/2*c)^4+27/4/d*b/(a+b)^4/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*a^2*tanh(1/2*d*x+1/2*c)^2+1/4/d*b^2/(a+b)^4/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*a*tanh(1/2*d*x+1/2*c)^2-23/4/d*b^3/(a+b)^4/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^2+3/4/d*b^4/(a+b)^4/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/a*tanh(1/2*d*x+1/2*c)^2+9/4/d*b/(a+b)^4/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*a^2+17/4/d*b^2/(a+b)^4/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*a+7/4/d*b^3/(a+b)^4/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2-1/4/d*b^4/(a+b)^4/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/a-15/8/d*b/(a+b)^4*a/(a*b)^(1/2)*arctan(1/4*(2*(a+b)*tanh(1/2*d*x+1/2*c)^2+2*a-2*b)/(a*b)^(1/2))+5/4/d*b^2/(a+b)^4/(a*b)^(1/2)*arctan(1/4*(2*(a+b)*tanh(1/2*d*x+1/2*c)^2+2*a-2*b)/(a*b)^(1/2))+1/8/d*b^3/(a+b)^4/a/(a*b)^(1/2)*arctan(1/4*(2*(a+b)*tanh(1/2*d*x+1/2*c)^2+2*a-2*b)/(a*b)^(1/2))-1/8/d/(a+b)^3/tanh(1/2*d*x+1/2*c)^2-1/2/d/(a+b)^4*ln(tanh(1/2*d*x+1/2*c))*a+5/2/d/(a+b)^4*ln(tanh(1/2*d*x+1/2*c))*b","B"
48,1,1443,149,0.483000," ","int(csch(d*x+c)^4/(a+b*sech(d*x+c)^2)^3,x)","-\frac{a \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{24 d \left(a^{3}+3 a^{2} b +3 a \,b^{2}+b^{3}\right) \left(a +b \right)}-\frac{\left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{24 d \left(a^{3}+3 a^{2} b +3 a \,b^{2}+b^{3}\right) \left(a +b \right)}+\frac{3 a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{8 d \left(a^{3}+3 a^{2} b +3 a \,b^{2}+b^{3}\right) \left(a +b \right)}-\frac{9 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b}{8 d \left(a^{3}+3 a^{2} b +3 a \,b^{2}+b^{3}\right) \left(a +b \right)}-\frac{9 b \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a^{2}}{4 d \left(a +b \right)^{4} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{5 b^{2} \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a}{4 d \left(a +b \right)^{4} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}+\frac{b^{3} \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(a +b \right)^{4} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{27 b \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a^{2}}{4 d \left(a +b \right)^{4} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}+\frac{13 b^{2} \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a}{4 d \left(a +b \right)^{4} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{b^{3} \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(a +b \right)^{4} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{27 b \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a^{2}}{4 d \left(a +b \right)^{4} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}+\frac{13 b^{2} \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a}{4 d \left(a +b \right)^{4} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{b^{3} \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(a +b \right)^{4} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{9 b \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) a^{2}}{4 d \left(a +b \right)^{4} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{5 b^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) a}{4 d \left(a +b \right)^{4} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}+\frac{b^{3} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d \left(a +b \right)^{4} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}+\frac{15 \sqrt{b}\, a \ln \left(-\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\sqrt{a +b}\right)}{16 d \left(a +b \right)^{\frac{9}{2}}}-\frac{15 \sqrt{b}\, a \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{16 d \left(a +b \right)^{\frac{9}{2}}}-\frac{5 b^{\frac{3}{2}} \ln \left(-\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\sqrt{a +b}\right)}{4 d \left(a +b \right)^{\frac{9}{2}}}+\frac{5 b^{\frac{3}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{4 d \left(a +b \right)^{\frac{9}{2}}}-\frac{1}{24 d \left(a +b \right)^{3} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)^{3}}+\frac{3 a}{8 d \left(a +b \right)^{4} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}-\frac{9 b}{8 d \left(a +b \right)^{4} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}"," ",0,"-1/24/d/(a^3+3*a^2*b+3*a*b^2+b^3)/(a+b)*a*tanh(1/2*d*x+1/2*c)^3-1/24/d/(a^3+3*a^2*b+3*a*b^2+b^3)/(a+b)*tanh(1/2*d*x+1/2*c)^3*b+3/8/d/(a^3+3*a^2*b+3*a*b^2+b^3)/(a+b)*a*tanh(1/2*d*x+1/2*c)-9/8/d/(a^3+3*a^2*b+3*a*b^2+b^3)/(a+b)*tanh(1/2*d*x+1/2*c)*b-9/4/d*b/(a+b)^4/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^7*a^2-5/4/d*b^2/(a+b)^4/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^7*a+1/d*b^3/(a+b)^4/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^7-27/4/d*b/(a+b)^4/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^5*a^2+13/4/d*b^2/(a+b)^4/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^5*a-1/d*b^3/(a+b)^4/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^5-27/4/d*b/(a+b)^4/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^3*a^2+13/4/d*b^2/(a+b)^4/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^3*a-1/d*b^3/(a+b)^4/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^3-9/4/d*b/(a+b)^4/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)*a^2-5/4/d*b^2/(a+b)^4/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)*a+1/d*b^3/(a+b)^4/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)+15/16/d*b^(1/2)/(a+b)^(9/2)*a*ln(-(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)-(a+b)^(1/2))-15/16/d*b^(1/2)/(a+b)^(9/2)*a*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-5/4/d*b^(3/2)/(a+b)^(9/2)*ln(-(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)-(a+b)^(1/2))+5/4/d*b^(3/2)/(a+b)^(9/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-1/24/d/(a+b)^3/tanh(1/2*d*x+1/2*c)^3+3/8/d/(a+b)^4/tanh(1/2*d*x+1/2*c)*a-9/8/d/(a+b)^4/tanh(1/2*d*x+1/2*c)*b","B"
49,1,66,55,0.457000," ","int(cosh(d*x+c)^4*(a+b*sech(d*x+c)^2),x)","\frac{a \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)+b \left(\frac{\cosh \left(d x +c \right) \sinh \left(d x +c \right)}{2}+\frac{d x}{2}+\frac{c}{2}\right)}{d}"," ",0,"1/d*(a*((1/4*cosh(d*x+c)^3+3/8*cosh(d*x+c))*sinh(d*x+c)+3/8*d*x+3/8*c)+b*(1/2*cosh(d*x+c)*sinh(d*x+c)+1/2*d*x+1/2*c))","A"
50,1,34,28,0.426000," ","int(cosh(d*x+c)^3*(a+b*sech(d*x+c)^2),x)","\frac{a \left(\frac{2}{3}+\frac{\left(\cosh^{2}\left(d x +c \right)\right)}{3}\right) \sinh \left(d x +c \right)+b \sinh \left(d x +c \right)}{d}"," ",0,"1/d*(a*(2/3+1/3*cosh(d*x+c)^2)*sinh(d*x+c)+b*sinh(d*x+c))","A"
51,1,37,27,0.306000," ","int(cosh(d*x+c)^2*(a+b*sech(d*x+c)^2),x)","\frac{a \left(\frac{\cosh \left(d x +c \right) \sinh \left(d x +c \right)}{2}+\frac{d x}{2}+\frac{c}{2}\right)+\left(d x +c \right) b}{d}"," ",0,"1/d*(a*(1/2*cosh(d*x+c)*sinh(d*x+c)+1/2*d*x+1/2*c)+(d*x+c)*b)","A"
52,1,26,24,0.286000," ","int(cosh(d*x+c)*(a+b*sech(d*x+c)^2),x)","\frac{a \sinh \left(d x +c \right)}{d}+\frac{2 b \arctan \left({\mathrm e}^{d x +c}\right)}{d}"," ",0,"a*sinh(d*x+c)/d+2/d*b*arctan(exp(d*x+c))","A"
53,1,45,36,0.300000," ","int(sech(d*x+c)*(a+b*sech(d*x+c)^2),x)","\frac{2 a \arctan \left({\mathrm e}^{d x +c}\right)}{d}+\frac{b \,\mathrm{sech}\left(d x +c \right) \tanh \left(d x +c \right)}{2 d}+\frac{b \arctan \left({\mathrm e}^{d x +c}\right)}{d}"," ",0,"2/d*a*arctan(exp(d*x+c))+1/2*b*sech(d*x+c)*tanh(d*x+c)/d+1/d*b*arctan(exp(d*x+c))","A"
54,1,34,28,0.336000," ","int(sech(d*x+c)^2*(a+b*sech(d*x+c)^2),x)","\frac{a \tanh \left(d x +c \right)+b \left(\frac{2}{3}+\frac{\mathrm{sech}\left(d x +c \right)^{2}}{3}\right) \tanh \left(d x +c \right)}{d}"," ",0,"1/d*(a*tanh(d*x+c)+b*(2/3+1/3*sech(d*x+c)^2)*tanh(d*x+c))","A"
55,1,83,64,0.417000," ","int(sech(d*x+c)^3*(a+b*sech(d*x+c)^2),x)","\frac{a \,\mathrm{sech}\left(d x +c \right) \tanh \left(d x +c \right)}{2 d}+\frac{a \arctan \left({\mathrm e}^{d x +c}\right)}{d}+\frac{b \mathrm{sech}\left(d x +c \right)^{3} \tanh \left(d x +c \right)}{4 d}+\frac{3 b \,\mathrm{sech}\left(d x +c \right) \tanh \left(d x +c \right)}{8 d}+\frac{3 b \arctan \left({\mathrm e}^{d x +c}\right)}{4 d}"," ",0,"1/2/d*a*sech(d*x+c)*tanh(d*x+c)+1/d*a*arctan(exp(d*x+c))+1/4*b*sech(d*x+c)^3*tanh(d*x+c)/d+3/8*b*sech(d*x+c)*tanh(d*x+c)/d+3/4/d*b*arctan(exp(d*x+c))","A"
56,1,56,46,0.366000," ","int(sech(d*x+c)^4*(a+b*sech(d*x+c)^2),x)","\frac{a \left(\frac{2}{3}+\frac{\mathrm{sech}\left(d x +c \right)^{2}}{3}\right) \tanh \left(d x +c \right)+b \left(\frac{8}{15}+\frac{\mathrm{sech}\left(d x +c \right)^{4}}{5}+\frac{4 \mathrm{sech}\left(d x +c \right)^{2}}{15}\right) \tanh \left(d x +c \right)}{d}"," ",0,"1/d*(a*(2/3+1/3*sech(d*x+c)^2)*tanh(d*x+c)+b*(8/15+1/5*sech(d*x+c)^4+4/15*sech(d*x+c)^2)*tanh(d*x+c))","A"
57,1,79,76,0.397000," ","int(cosh(d*x+c)^4*(a+b*sech(d*x+c)^2)^2,x)","\frac{a^{2} \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)+2 a b \left(\frac{\cosh \left(d x +c \right) \sinh \left(d x +c \right)}{2}+\frac{d x}{2}+\frac{c}{2}\right)+b^{2} \left(d x +c \right)}{d}"," ",0,"1/d*(a^2*((1/4*cosh(d*x+c)^3+3/8*cosh(d*x+c))*sinh(d*x+c)+3/8*d*x+3/8*c)+2*a*b*(1/2*cosh(d*x+c)*sinh(d*x+c)+1/2*d*x+1/2*c)+b^2*(d*x+c))","A"
58,1,66,47,0.364000," ","int(cosh(d*x+c)^3*(a+b*sech(d*x+c)^2)^2,x)","\frac{2 a^{2} \sinh \left(d x +c \right)}{3 d}+\frac{a^{2} \sinh \left(d x +c \right) \left(\cosh^{2}\left(d x +c \right)\right)}{3 d}+\frac{2 a b \sinh \left(d x +c \right)}{d}+\frac{2 b^{2} \arctan \left({\mathrm e}^{d x +c}\right)}{d}"," ",0,"2/3*a^2*sinh(d*x+c)/d+1/3/d*a^2*sinh(d*x+c)*cosh(d*x+c)^2+2*a*b*sinh(d*x+c)/d+2/d*b^2*arctan(exp(d*x+c))","A"
59,1,51,43,0.355000," ","int(cosh(d*x+c)^2*(a+b*sech(d*x+c)^2)^2,x)","\frac{a^{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 \left(d x +c \right)+b^{2} \tanh \left(d x +c \right)}{d}"," ",0,"1/d*(a^2*(1/2*cosh(d*x+c)*sinh(d*x+c)+1/2*d*x+1/2*c)+2*a*b*(d*x+c)+b^2*tanh(d*x+c))","A"
60,1,63,52,0.365000," ","int(cosh(d*x+c)*(a+b*sech(d*x+c)^2)^2,x)","\frac{a^{2} \sinh \left(d x +c \right)}{d}+\frac{4 a b \arctan \left({\mathrm e}^{d x +c}\right)}{d}+\frac{b^{2} \mathrm{sech}\left(d x +c \right) \tanh \left(d x +c \right)}{2 d}+\frac{b^{2} \arctan \left({\mathrm e}^{d x +c}\right)}{d}"," ",0,"a^2*sinh(d*x+c)/d+4/d*a*b*arctan(exp(d*x+c))+1/2/d*b^2*sech(d*x+c)*tanh(d*x+c)+1/d*b^2*arctan(exp(d*x+c))","A"
61,1,106,84,0.385000," ","int(sech(d*x+c)*(a+b*sech(d*x+c)^2)^2,x)","\frac{2 a^{2} \arctan \left({\mathrm e}^{d x +c}\right)}{d}+\frac{a b \,\mathrm{sech}\left(d x +c \right) \tanh \left(d x +c \right)}{d}+\frac{2 a b \arctan \left({\mathrm e}^{d x +c}\right)}{d}+\frac{b^{2} \tanh \left(d x +c \right) \mathrm{sech}\left(d x +c \right)^{3}}{4 d}+\frac{3 b^{2} \mathrm{sech}\left(d x +c \right) \tanh \left(d x +c \right)}{8 d}+\frac{3 b^{2} \arctan \left({\mathrm e}^{d x +c}\right)}{4 d}"," ",0,"2/d*a^2*arctan(exp(d*x+c))+1/d*a*b*sech(d*x+c)*tanh(d*x+c)+2/d*a*b*arctan(exp(d*x+c))+1/4/d*b^2*tanh(d*x+c)*sech(d*x+c)^3+3/8/d*b^2*sech(d*x+c)*tanh(d*x+c)+3/4/d*b^2*arctan(exp(d*x+c))","A"
62,1,70,49,0.418000," ","int(sech(d*x+c)^2*(a+b*sech(d*x+c)^2)^2,x)","\frac{a^{2} \tanh \left(d x +c \right)+2 a b \left(\frac{2}{3}+\frac{\mathrm{sech}\left(d x +c \right)^{2}}{3}\right) \tanh \left(d x +c \right)+b^{2} \left(\frac{8}{15}+\frac{\mathrm{sech}\left(d x +c \right)^{4}}{5}+\frac{4 \mathrm{sech}\left(d x +c \right)^{2}}{15}\right) \tanh \left(d x +c \right)}{d}"," ",0,"1/d*(a^2*tanh(d*x+c)+2*a*b*(2/3+1/3*sech(d*x+c)^2)*tanh(d*x+c)+b^2*(8/15+1/5*sech(d*x+c)^4+4/15*sech(d*x+c)^2)*tanh(d*x+c))","A"
63,1,169,120,0.460000," ","int(sech(d*x+c)^3*(a+b*sech(d*x+c)^2)^2,x)","\frac{a^{2} \mathrm{sech}\left(d x +c \right) \tanh \left(d x +c \right)}{2 d}+\frac{a^{2} \arctan \left({\mathrm e}^{d x +c}\right)}{d}+\frac{a b \tanh \left(d x +c \right) \mathrm{sech}\left(d x +c \right)^{3}}{2 d}+\frac{3 a b \,\mathrm{sech}\left(d x +c \right) \tanh \left(d x +c \right)}{4 d}+\frac{3 a b \arctan \left({\mathrm e}^{d x +c}\right)}{2 d}+\frac{b^{2} \tanh \left(d x +c \right) \mathrm{sech}\left(d x +c \right)^{5}}{6 d}+\frac{5 b^{2} \tanh \left(d x +c \right) \mathrm{sech}\left(d x +c \right)^{3}}{24 d}+\frac{5 b^{2} \mathrm{sech}\left(d x +c \right) \tanh \left(d x +c \right)}{16 d}+\frac{5 b^{2} \arctan \left({\mathrm e}^{d x +c}\right)}{8 d}"," ",0,"1/2/d*a^2*sech(d*x+c)*tanh(d*x+c)+1/d*a^2*arctan(exp(d*x+c))+1/2/d*a*b*tanh(d*x+c)*sech(d*x+c)^3+3/4/d*a*b*sech(d*x+c)*tanh(d*x+c)+3/2/d*a*b*arctan(exp(d*x+c))+1/6/d*b^2*tanh(d*x+c)*sech(d*x+c)^5+5/24/d*b^2*tanh(d*x+c)*sech(d*x+c)^3+5/16/d*b^2*sech(d*x+c)*tanh(d*x+c)+5/8/d*b^2*arctan(exp(d*x+c))","A"
64,1,102,74,0.445000," ","int(sech(d*x+c)^4*(a+b*sech(d*x+c)^2)^2,x)","\frac{a^{2} \left(\frac{2}{3}+\frac{\mathrm{sech}\left(d x +c \right)^{2}}{3}\right) \tanh \left(d x +c \right)+2 a b \left(\frac{8}{15}+\frac{\mathrm{sech}\left(d x +c \right)^{4}}{5}+\frac{4 \mathrm{sech}\left(d x +c \right)^{2}}{15}\right) \tanh \left(d x +c \right)+b^{2} \left(\frac{16}{35}+\frac{\mathrm{sech}\left(d x +c \right)^{6}}{7}+\frac{6 \mathrm{sech}\left(d x +c \right)^{4}}{35}+\frac{8 \mathrm{sech}\left(d x +c \right)^{2}}{35}\right) \tanh \left(d x +c \right)}{d}"," ",0,"1/d*(a^2*(2/3+1/3*sech(d*x+c)^2)*tanh(d*x+c)+2*a*b*(8/15+1/5*sech(d*x+c)^4+4/15*sech(d*x+c)^2)*tanh(d*x+c)+b^2*(16/35+1/7*sech(d*x+c)^6+6/35*sech(d*x+c)^4+8/35*sech(d*x+c)^2)*tanh(d*x+c))","A"
65,1,93,78,0.479000," ","int(cosh(d*x+c)^4*(a+b*sech(d*x+c)^2)^3,x)","\frac{a^{3} \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)+3 a^{2} b \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 \,b^{2} \left(d x +c \right)+b^{3} \tanh \left(d x +c \right)}{d}"," ",0,"1/d*(a^3*((1/4*cosh(d*x+c)^3+3/8*cosh(d*x+c))*sinh(d*x+c)+3/8*d*x+3/8*c)+3*a^2*b*(1/2*cosh(d*x+c)*sinh(d*x+c)+1/2*d*x+1/2*c)+3*a*b^2*(d*x+c)+b^3*tanh(d*x+c))","A"
66,1,103,75,0.454000," ","int(cosh(d*x+c)^3*(a+b*sech(d*x+c)^2)^3,x)","\frac{2 a^{3} \sinh \left(d x +c \right)}{3 d}+\frac{a^{3} \sinh \left(d x +c \right) \left(\cosh^{2}\left(d x +c \right)\right)}{3 d}+\frac{3 a^{2} b \sinh \left(d x +c \right)}{d}+\frac{6 a \,b^{2} \arctan \left({\mathrm e}^{d x +c}\right)}{d}+\frac{b^{3} \mathrm{sech}\left(d x +c \right) \tanh \left(d x +c \right)}{2 d}+\frac{b^{3} \arctan \left({\mathrm e}^{d x +c}\right)}{d}"," ",0,"2/3*a^3*sinh(d*x+c)/d+1/3/d*a^3*sinh(d*x+c)*cosh(d*x+c)^2+3/d*a^2*b*sinh(d*x+c)+6/d*a*b^2*arctan(exp(d*x+c))+1/2/d*b^3*sech(d*x+c)*tanh(d*x+c)+1/d*b^3*arctan(exp(d*x+c))","A"
67,1,77,66,0.461000," ","int(cosh(d*x+c)^2*(a+b*sech(d*x+c)^2)^3,x)","\frac{a^{3} \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 \left(d x +c \right)+3 a \,b^{2} \tanh \left(d x +c \right)+b^{3} \left(\frac{2}{3}+\frac{\mathrm{sech}\left(d x +c \right)^{2}}{3}\right) \tanh \left(d x +c \right)}{d}"," ",0,"1/d*(a^3*(1/2*cosh(d*x+c)*sinh(d*x+c)+1/2*d*x+1/2*c)+3*a^2*b*(d*x+c)+3*a*b^2*tanh(d*x+c)+b^3*(2/3+1/3*sech(d*x+c)^2)*tanh(d*x+c))","A"
68,1,125,87,0.507000," ","int(cosh(d*x+c)*(a+b*sech(d*x+c)^2)^3,x)","\frac{a^{3} \sinh \left(d x +c \right)}{d}+\frac{6 a^{2} b \arctan \left({\mathrm e}^{d x +c}\right)}{d}+\frac{3 a \,b^{2} \mathrm{sech}\left(d x +c \right) \tanh \left(d x +c \right)}{2 d}+\frac{3 a \,b^{2} \arctan \left({\mathrm e}^{d x +c}\right)}{d}+\frac{b^{3} \tanh \left(d x +c \right) \mathrm{sech}\left(d x +c \right)^{3}}{4 d}+\frac{3 b^{3} \mathrm{sech}\left(d x +c \right) \tanh \left(d x +c \right)}{8 d}+\frac{3 b^{3} \arctan \left({\mathrm e}^{d x +c}\right)}{4 d}"," ",0,"a^3*sinh(d*x+c)/d+6/d*a^2*b*arctan(exp(d*x+c))+3/2/d*a*b^2*sech(d*x+c)*tanh(d*x+c)+3/d*a*b^2*arctan(exp(d*x+c))+1/4/d*b^3*tanh(d*x+c)*sech(d*x+c)^3+3/8/d*b^3*sech(d*x+c)*tanh(d*x+c)+3/4/d*b^3*arctan(exp(d*x+c))","A"
69,1,193,139,0.460000," ","int(sech(d*x+c)*(a+b*sech(d*x+c)^2)^3,x)","\frac{2 a^{3} \arctan \left({\mathrm e}^{d x +c}\right)}{d}+\frac{3 a^{2} b \,\mathrm{sech}\left(d x +c \right) \tanh \left(d x +c \right)}{2 d}+\frac{3 a^{2} b \arctan \left({\mathrm e}^{d x +c}\right)}{d}+\frac{3 a \,b^{2} \tanh \left(d x +c \right) \mathrm{sech}\left(d x +c \right)^{3}}{4 d}+\frac{9 a \,b^{2} \mathrm{sech}\left(d x +c \right) \tanh \left(d x +c \right)}{8 d}+\frac{9 a \,b^{2} \arctan \left({\mathrm e}^{d x +c}\right)}{4 d}+\frac{b^{3} \tanh \left(d x +c \right) \mathrm{sech}\left(d x +c \right)^{5}}{6 d}+\frac{5 b^{3} \tanh \left(d x +c \right) \mathrm{sech}\left(d x +c \right)^{3}}{24 d}+\frac{5 b^{3} \mathrm{sech}\left(d x +c \right) \tanh \left(d x +c \right)}{16 d}+\frac{5 b^{3} \arctan \left({\mathrm e}^{d x +c}\right)}{8 d}"," ",0,"2/d*a^3*arctan(exp(d*x+c))+3/2/d*a^2*b*sech(d*x+c)*tanh(d*x+c)+3/d*a^2*b*arctan(exp(d*x+c))+3/4/d*a*b^2*tanh(d*x+c)*sech(d*x+c)^3+9/8/d*a*b^2*sech(d*x+c)*tanh(d*x+c)+9/4/d*a*b^2*arctan(exp(d*x+c))+1/6/d*b^3*tanh(d*x+c)*sech(d*x+c)^5+5/24/d*b^3*tanh(d*x+c)*sech(d*x+c)^3+5/16/d*b^3*sech(d*x+c)*tanh(d*x+c)+5/8/d*b^3*arctan(exp(d*x+c))","A"
70,1,116,70,0.571000," ","int(sech(d*x+c)^2*(a+b*sech(d*x+c)^2)^3,x)","\frac{a^{3} \tanh \left(d x +c \right)+3 a^{2} b \left(\frac{2}{3}+\frac{\mathrm{sech}\left(d x +c \right)^{2}}{3}\right) \tanh \left(d x +c \right)+3 a \,b^{2} \left(\frac{8}{15}+\frac{\mathrm{sech}\left(d x +c \right)^{4}}{5}+\frac{4 \mathrm{sech}\left(d x +c \right)^{2}}{15}\right) \tanh \left(d x +c \right)+b^{3} \left(\frac{16}{35}+\frac{\mathrm{sech}\left(d x +c \right)^{6}}{7}+\frac{6 \mathrm{sech}\left(d x +c \right)^{4}}{35}+\frac{8 \mathrm{sech}\left(d x +c \right)^{2}}{35}\right) \tanh \left(d x +c \right)}{d}"," ",0,"1/d*(a^3*tanh(d*x+c)+3*a^2*b*(2/3+1/3*sech(d*x+c)^2)*tanh(d*x+c)+3*a*b^2*(8/15+1/5*sech(d*x+c)^4+4/15*sech(d*x+c)^2)*tanh(d*x+c)+b^3*(16/35+1/7*sech(d*x+c)^6+6/35*sech(d*x+c)^4+8/35*sech(d*x+c)^2)*tanh(d*x+c))","A"
71,1,280,186,0.472000," ","int(sech(d*x+c)^3*(a+b*sech(d*x+c)^2)^3,x)","\frac{a^{3} \mathrm{sech}\left(d x +c \right) \tanh \left(d x +c \right)}{2 d}+\frac{a^{3} \arctan \left({\mathrm e}^{d x +c}\right)}{d}+\frac{3 a^{2} b \tanh \left(d x +c \right) \mathrm{sech}\left(d x +c \right)^{3}}{4 d}+\frac{9 a^{2} b \,\mathrm{sech}\left(d x +c \right) \tanh \left(d x +c \right)}{8 d}+\frac{9 a^{2} b \arctan \left({\mathrm e}^{d x +c}\right)}{4 d}+\frac{a \,b^{2} \tanh \left(d x +c \right) \mathrm{sech}\left(d x +c \right)^{5}}{2 d}+\frac{5 a \,b^{2} \tanh \left(d x +c \right) \mathrm{sech}\left(d x +c \right)^{3}}{8 d}+\frac{15 a \,b^{2} \mathrm{sech}\left(d x +c \right) \tanh \left(d x +c \right)}{16 d}+\frac{15 a \,b^{2} \arctan \left({\mathrm e}^{d x +c}\right)}{8 d}+\frac{b^{3} \tanh \left(d x +c \right) \mathrm{sech}\left(d x +c \right)^{7}}{8 d}+\frac{7 b^{3} \tanh \left(d x +c \right) \mathrm{sech}\left(d x +c \right)^{5}}{48 d}+\frac{35 b^{3} \tanh \left(d x +c \right) \mathrm{sech}\left(d x +c \right)^{3}}{192 d}+\frac{35 b^{3} \mathrm{sech}\left(d x +c \right) \tanh \left(d x +c \right)}{128 d}+\frac{35 b^{3} \arctan \left({\mathrm e}^{d x +c}\right)}{64 d}"," ",0,"1/2/d*a^3*sech(d*x+c)*tanh(d*x+c)+1/d*a^3*arctan(exp(d*x+c))+3/4/d*a^2*b*tanh(d*x+c)*sech(d*x+c)^3+9/8/d*a^2*b*sech(d*x+c)*tanh(d*x+c)+9/4/d*a^2*b*arctan(exp(d*x+c))+1/2/d*a*b^2*tanh(d*x+c)*sech(d*x+c)^5+5/8/d*a*b^2*tanh(d*x+c)*sech(d*x+c)^3+15/16/d*a*b^2*sech(d*x+c)*tanh(d*x+c)+15/8/d*a*b^2*arctan(exp(d*x+c))+1/8/d*b^3*tanh(d*x+c)*sech(d*x+c)^7+7/48/d*b^3*tanh(d*x+c)*sech(d*x+c)^5+35/192/d*b^3*tanh(d*x+c)*sech(d*x+c)^3+35/128/d*b^3*sech(d*x+c)*tanh(d*x+c)+35/64/d*b^3*arctan(exp(d*x+c))","A"
72,1,158,100,0.520000," ","int(sech(d*x+c)^4*(a+b*sech(d*x+c)^2)^3,x)","\frac{a^{3} \left(\frac{2}{3}+\frac{\mathrm{sech}\left(d x +c \right)^{2}}{3}\right) \tanh \left(d x +c \right)+3 a^{2} b \left(\frac{8}{15}+\frac{\mathrm{sech}\left(d x +c \right)^{4}}{5}+\frac{4 \mathrm{sech}\left(d x +c \right)^{2}}{15}\right) \tanh \left(d x +c \right)+3 a \,b^{2} \left(\frac{16}{35}+\frac{\mathrm{sech}\left(d x +c \right)^{6}}{7}+\frac{6 \mathrm{sech}\left(d x +c \right)^{4}}{35}+\frac{8 \mathrm{sech}\left(d x +c \right)^{2}}{35}\right) \tanh \left(d x +c \right)+b^{3} \left(\frac{128}{315}+\frac{\mathrm{sech}\left(d x +c \right)^{8}}{9}+\frac{8 \mathrm{sech}\left(d x +c \right)^{6}}{63}+\frac{16 \mathrm{sech}\left(d x +c \right)^{4}}{105}+\frac{64 \mathrm{sech}\left(d x +c \right)^{2}}{315}\right) \tanh \left(d x +c \right)}{d}"," ",0,"1/d*(a^3*(2/3+1/3*sech(d*x+c)^2)*tanh(d*x+c)+3*a^2*b*(8/15+1/5*sech(d*x+c)^4+4/15*sech(d*x+c)^2)*tanh(d*x+c)+3*a*b^2*(16/35+1/7*sech(d*x+c)^6+6/35*sech(d*x+c)^4+8/35*sech(d*x+c)^2)*tanh(d*x+c)+b^3*(128/315+1/9*sech(d*x+c)^8+8/63*sech(d*x+c)^6+16/105*sech(d*x+c)^4+64/315*sech(d*x+c)^2)*tanh(d*x+c))","A"
73,1,493,103,0.541000," ","int(cosh(d*x+c)^4/(a+b*sech(d*x+c)^2),x)","\frac{1}{4 d a \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{4}}+\frac{1}{2 d a \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{3}}+\frac{7}{8 d a \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}-\frac{b}{2 d \,a^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}+\frac{5}{8 d a \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}-\frac{b}{2 d \,a^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}-\frac{3 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{8 d a}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right) b}{2 d \,a^{2}}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right) b^{2}}{d \,a^{3}}-\frac{1}{4 d a \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{4}}+\frac{1}{2 d a \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}+\frac{5}{8 d a \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{b}{2 d \,a^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{7}{8 d a \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{b}{2 d \,a^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{3 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{8 d a}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right) b}{2 d \,a^{2}}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right) b^{2}}{d \,a^{3}}+\frac{b^{\frac{5}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d \,a^{3} \sqrt{a +b}}-\frac{b^{\frac{5}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d \,a^{3} \sqrt{a +b}}"," ",0,"1/4/d/a/(tanh(1/2*d*x+1/2*c)-1)^4+1/2/d/a/(tanh(1/2*d*x+1/2*c)-1)^3+7/8/d/a/(tanh(1/2*d*x+1/2*c)-1)^2-1/2/d/a^2/(tanh(1/2*d*x+1/2*c)-1)^2*b+5/8/d/a/(tanh(1/2*d*x+1/2*c)-1)-1/2/d/a^2/(tanh(1/2*d*x+1/2*c)-1)*b-3/8/d/a*ln(tanh(1/2*d*x+1/2*c)-1)+1/2/d/a^2*ln(tanh(1/2*d*x+1/2*c)-1)*b-1/d/a^3*ln(tanh(1/2*d*x+1/2*c)-1)*b^2-1/4/d/a/(tanh(1/2*d*x+1/2*c)+1)^4+1/2/d/a/(tanh(1/2*d*x+1/2*c)+1)^3+5/8/d/a/(tanh(1/2*d*x+1/2*c)+1)-1/2/d/a^2/(tanh(1/2*d*x+1/2*c)+1)*b-7/8/d/a/(tanh(1/2*d*x+1/2*c)+1)^2+1/2/d/a^2/(tanh(1/2*d*x+1/2*c)+1)^2*b+3/8/d/a*ln(tanh(1/2*d*x+1/2*c)+1)-1/2/d/a^2*ln(tanh(1/2*d*x+1/2*c)+1)*b+1/d/a^3*ln(tanh(1/2*d*x+1/2*c)+1)*b^2+1/2/d*b^(5/2)/a^3/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2-2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-1/2/d*b^(5/2)/a^3/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))","B"
74,1,256,66,0.489000," ","int(cosh(d*x+c)^3/(a+b*sech(d*x+c)^2),x)","-\frac{1}{3 d a \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{3}}-\frac{1}{2 d a \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}-\frac{1}{d a \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}+\frac{b}{d \,a^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}-\frac{1}{3 d a \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}+\frac{1}{2 d a \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{1}{d a \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}+\frac{b}{d \,a^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}+\frac{b^{2} \arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 \sqrt{b}}{2 \sqrt{a}}\right)}{d \,a^{\frac{5}{2}} \sqrt{a +b}}+\frac{b^{2} \arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+2 \sqrt{b}}{2 \sqrt{a}}\right)}{d \,a^{\frac{5}{2}} \sqrt{a +b}}"," ",0,"-1/3/d/a/(tanh(1/2*d*x+1/2*c)-1)^3-1/2/d/a/(tanh(1/2*d*x+1/2*c)-1)^2-1/d/a/(tanh(1/2*d*x+1/2*c)-1)+1/d/a^2/(tanh(1/2*d*x+1/2*c)-1)*b-1/3/d/a/(tanh(1/2*d*x+1/2*c)+1)^3+1/2/d/a/(tanh(1/2*d*x+1/2*c)+1)^2-1/d/a/(tanh(1/2*d*x+1/2*c)+1)+1/d/a^2/(tanh(1/2*d*x+1/2*c)+1)*b+1/d*b^2/a^(5/2)/(a+b)^(1/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)-2*b^(1/2))/a^(1/2))+1/d*b^2/a^(5/2)/(a+b)^(1/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)+2*b^(1/2))/a^(1/2))","B"
75,1,278,63,0.464000," ","int(cosh(d*x+c)^2/(a+b*sech(d*x+c)^2),x)","\frac{1}{2 d a \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}+\frac{1}{2 d a \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)}{2 d a}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right) b}{d \,a^{2}}-\frac{1}{2 d a \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{1}{2 d a \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)}{2 d a}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right) b}{d \,a^{2}}-\frac{b^{\frac{3}{2}} \ln \left(-\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\sqrt{a +b}\right)}{2 d \,a^{2} \sqrt{a +b}}+\frac{b^{\frac{3}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d \,a^{2} \sqrt{a +b}}"," ",0,"1/2/d/a/(tanh(1/2*d*x+1/2*c)-1)^2+1/2/d/a/(tanh(1/2*d*x+1/2*c)-1)-1/2/d/a*ln(tanh(1/2*d*x+1/2*c)-1)+1/d/a^2*ln(tanh(1/2*d*x+1/2*c)-1)*b-1/2/d/a/(tanh(1/2*d*x+1/2*c)+1)^2+1/2/d/a/(tanh(1/2*d*x+1/2*c)+1)+1/2/d/a*ln(tanh(1/2*d*x+1/2*c)+1)-1/d/a^2*ln(tanh(1/2*d*x+1/2*c)+1)*b-1/2/d*b^(3/2)/a^2/(a+b)^(1/2)*ln(-(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)-(a+b)^(1/2))+1/2/d/a^2*b^(3/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))","B"
76,1,128,44,0.402000," ","int(cosh(d*x+c)/(a+b*sech(d*x+c)^2),x)","-\frac{1}{d a \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{b \arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 \sqrt{b}}{2 \sqrt{a}}\right)}{d \,a^{\frac{3}{2}} \sqrt{a +b}}-\frac{b \arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+2 \sqrt{b}}{2 \sqrt{a}}\right)}{d \,a^{\frac{3}{2}} \sqrt{a +b}}-\frac{1}{d a \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}"," ",0,"-1/d/a/(tanh(1/2*d*x+1/2*c)+1)-1/d/a^(3/2)*b/(a+b)^(1/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)-2*b^(1/2))/a^(1/2))-1/d/a^(3/2)*b/(a+b)^(1/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)+2*b^(1/2))/a^(1/2))-1/d/a/(tanh(1/2*d*x+1/2*c)-1)","B"
77,1,82,28,0.278000," ","int(sech(d*x+c)/(a+b*sech(d*x+c)^2),x)","\frac{\arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 \sqrt{b}}{2 \sqrt{a}}\right)}{d \sqrt{a +b}\, \sqrt{a}}+\frac{\arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+2 \sqrt{b}}{2 \sqrt{a}}\right)}{d \sqrt{a +b}\, \sqrt{a}}"," ",0,"1/d/(a+b)^(1/2)/a^(1/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)-2*b^(1/2))/a^(1/2))+1/d/(a+b)^(1/2)/a^(1/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)+2*b^(1/2))/a^(1/2))","B"
78,1,104,28,0.252000," ","int(sech(d*x+c)^2/(a+b*sech(d*x+c)^2),x)","-\frac{\ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d \sqrt{b}\, \sqrt{a +b}}+\frac{\ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d \sqrt{b}\, \sqrt{a +b}}"," ",0,"-1/2/d/b^(1/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2-2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))+1/2/d/b^(1/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))","B"
79,1,108,47,0.252000," ","int(sech(d*x+c)^3/(a+b*sech(d*x+c)^2),x)","-\frac{\sqrt{a}\, \arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 \sqrt{b}}{2 \sqrt{a}}\right)}{d b \sqrt{a +b}}-\frac{\sqrt{a}\, \arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+2 \sqrt{b}}{2 \sqrt{a}}\right)}{d b \sqrt{a +b}}+\frac{2 \arctan \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d b}"," ",0,"-1/d*a^(1/2)/b/(a+b)^(1/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)-2*b^(1/2))/a^(1/2))-1/d*a^(1/2)/b/(a+b)^(1/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)+2*b^(1/2))/a^(1/2))+2/d/b*arctan(tanh(1/2*d*x+1/2*c))","B"
80,1,141,44,0.217000," ","int(sech(d*x+c)^4/(a+b*sech(d*x+c)^2),x)","\frac{a \ln \left(-\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\sqrt{a +b}\right)}{2 d \,b^{\frac{3}{2}} \sqrt{a +b}}-\frac{a \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d \,b^{\frac{3}{2}} \sqrt{a +b}}+\frac{2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d b \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}"," ",0,"1/2/d*a/b^(3/2)/(a+b)^(1/2)*ln(-(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)-(a+b)^(1/2))-1/2/d*a/b^(3/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))+2/d/b*tanh(1/2*d*x+1/2*c)/(tanh(1/2*d*x+1/2*c)^2+1)","B"
81,1,189,74,0.281000," ","int(sech(d*x+c)^5/(a+b*sech(d*x+c)^2),x)","\frac{a^{\frac{3}{2}} \arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 \sqrt{b}}{2 \sqrt{a}}\right)}{d \,b^{2} \sqrt{a +b}}+\frac{a^{\frac{3}{2}} \arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+2 \sqrt{b}}{2 \sqrt{a}}\right)}{d \,b^{2} \sqrt{a +b}}-\frac{\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)}{d b \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d b \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{\arctan \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d b}-\frac{2 \arctan \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right) a}{d \,b^{2}}"," ",0,"1/d*a^(3/2)/b^2/(a+b)^(1/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)-2*b^(1/2))/a^(1/2))+1/d*a^(3/2)/b^2/(a+b)^(1/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)+2*b^(1/2))/a^(1/2))-1/d/b/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)^3+1/d/b/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)+1/d/b*arctan(tanh(1/2*d*x+1/2*c))-2/d/b^2*arctan(tanh(1/2*d*x+1/2*c))*a","B"
82,1,316,67,0.282000," ","int(sech(d*x+c)^6/(a+b*sech(d*x+c)^2),x)","-\frac{a^{2} \ln \left(-\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\sqrt{a +b}\right)}{2 d \,b^{\frac{5}{2}} \sqrt{a +b}}+\frac{a^{2} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d \,b^{\frac{5}{2}} \sqrt{a +b}}-\frac{2 \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a}{d \,b^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}+\frac{2 \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d b \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}-\frac{4 \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a}{d \,b^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}+\frac{4 \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{3 d b \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}-\frac{2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) a}{d \,b^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}+\frac{2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d b \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}"," ",0,"-1/2/d*a^2/b^(5/2)/(a+b)^(1/2)*ln(-(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)-(a+b)^(1/2))+1/2/d*a^2/b^(5/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-2/d/b^2/(tanh(1/2*d*x+1/2*c)^2+1)^3*tanh(1/2*d*x+1/2*c)^5*a+2/d/b/(tanh(1/2*d*x+1/2*c)^2+1)^3*tanh(1/2*d*x+1/2*c)^5-4/d/b^2/(tanh(1/2*d*x+1/2*c)^2+1)^3*tanh(1/2*d*x+1/2*c)^3*a+4/3/d/b/(tanh(1/2*d*x+1/2*c)^2+1)^3*tanh(1/2*d*x+1/2*c)^3-2/d/b^2/(tanh(1/2*d*x+1/2*c)^2+1)^3*tanh(1/2*d*x+1/2*c)*a+2/d/b/(tanh(1/2*d*x+1/2*c)^2+1)^3*tanh(1/2*d*x+1/2*c)","B"
83,1,517,111,0.533000," ","int(cosh(d*x+c)^3/(a+b*sech(d*x+c)^2)^2,x)","-\frac{1}{3 d \,a^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{3}}-\frac{1}{2 d \,a^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}-\frac{1}{d \,a^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}+\frac{2 b}{d \,a^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}-\frac{1}{3 d \,a^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}+\frac{1}{2 d \,a^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{1}{d \,a^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}+\frac{2 b}{d \,a^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}+\frac{b^{3} \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right) \left(a +b \right)}-\frac{b^{3} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d \,a^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right) \left(a +b \right)}+\frac{3 b^{2} \arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 \sqrt{b}}{2 \sqrt{a}}\right)}{d \,a^{\frac{5}{2}} \left(a +b \right)^{\frac{3}{2}}}+\frac{3 b^{2} \arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+2 \sqrt{b}}{2 \sqrt{a}}\right)}{d \,a^{\frac{5}{2}} \left(a +b \right)^{\frac{3}{2}}}+\frac{5 b^{3} \arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 \sqrt{b}}{2 \sqrt{a}}\right)}{2 d \,a^{\frac{7}{2}} \left(a +b \right)^{\frac{3}{2}}}+\frac{5 b^{3} \arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+2 \sqrt{b}}{2 \sqrt{a}}\right)}{2 d \,a^{\frac{7}{2}} \left(a +b \right)^{\frac{3}{2}}}"," ",0,"-1/3/d/a^2/(tanh(1/2*d*x+1/2*c)-1)^3-1/2/d/a^2/(tanh(1/2*d*x+1/2*c)-1)^2-1/d/a^2/(tanh(1/2*d*x+1/2*c)-1)+2/d/a^3/(tanh(1/2*d*x+1/2*c)-1)*b-1/3/d/a^2/(tanh(1/2*d*x+1/2*c)+1)^3+1/2/d/a^2/(tanh(1/2*d*x+1/2*c)+1)^2-1/d/a^2/(tanh(1/2*d*x+1/2*c)+1)+2/d/a^3/(tanh(1/2*d*x+1/2*c)+1)*b+1/d/a^3*b^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)/(a+b)*tanh(1/2*d*x+1/2*c)^3-1/d/a^3*b^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)/(a+b)*tanh(1/2*d*x+1/2*c)+3/d/a^(5/2)*b^2/(a+b)^(3/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)-2*b^(1/2))/a^(1/2))+3/d/a^(5/2)*b^2/(a+b)^(3/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)+2*b^(1/2))/a^(1/2))+5/2/d/a^(7/2)*b^3/(a+b)^(3/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)-2*b^(1/2))/a^(1/2))+5/2/d/a^(7/2)*b^3/(a+b)^(3/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)+2*b^(1/2))/a^(1/2))","B"
84,1,557,128,0.513000," ","int(cosh(d*x+c)^2/(a+b*sech(d*x+c)^2)^2,x)","\frac{1}{2 d \,a^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}+\frac{1}{2 d \,a^{2} \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)}{2 d \,a^{2}}+\frac{2 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right) b}{d \,a^{3}}-\frac{1}{2 d \,a^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{1}{2 d \,a^{2} \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)}{2 d \,a^{2}}-\frac{2 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right) b}{d \,a^{3}}+\frac{b^{2} \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right) \left(a +b \right)}+\frac{b^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right) \left(a +b \right)}-\frac{5 b^{\frac{3}{2}} \ln \left(-\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\sqrt{a +b}\right)}{4 d \,a^{2} \left(a +b \right)^{\frac{3}{2}}}+\frac{5 b^{\frac{3}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{4 d \,a^{2} \left(a +b \right)^{\frac{3}{2}}}-\frac{b^{\frac{5}{2}} \ln \left(-\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\sqrt{a +b}\right)}{d \,a^{3} \left(a +b \right)^{\frac{3}{2}}}+\frac{b^{\frac{5}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{d \,a^{3} \left(a +b \right)^{\frac{3}{2}}}"," ",0,"1/2/d/a^2/(tanh(1/2*d*x+1/2*c)-1)^2+1/2/d/a^2/(tanh(1/2*d*x+1/2*c)-1)-1/2/d/a^2*ln(tanh(1/2*d*x+1/2*c)-1)+2/d/a^3*ln(tanh(1/2*d*x+1/2*c)-1)*b-1/2/d/a^2/(tanh(1/2*d*x+1/2*c)+1)^2+1/2/d/a^2/(tanh(1/2*d*x+1/2*c)+1)+1/2/d/a^2*ln(tanh(1/2*d*x+1/2*c)+1)-2/d/a^3*ln(tanh(1/2*d*x+1/2*c)+1)*b+1/d/a^2*b^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)/(a+b)*tanh(1/2*d*x+1/2*c)^3+1/d/a^2*b^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)/(a+b)*tanh(1/2*d*x+1/2*c)-5/4/d/a^2*b^(3/2)/(a+b)^(3/2)*ln(-(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)-(a+b)^(1/2))+5/4/d/a^2*b^(3/2)/(a+b)^(3/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-1/d/a^3*b^(5/2)/(a+b)^(3/2)*ln(-(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)-(a+b)^(1/2))+1/d/a^3*b^(5/2)/(a+b)^(3/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))","B"
85,1,385,88,0.514000," ","int(cosh(d*x+c)/(a+b*sech(d*x+c)^2)^2,x)","-\frac{1}{d \,a^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}-\frac{1}{d \,a^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{b^{2} \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right) \left(a +b \right)}+\frac{b^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right) \left(a +b \right)}-\frac{2 b \arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 \sqrt{b}}{2 \sqrt{a}}\right)}{d \,a^{\frac{3}{2}} \left(a +b \right)^{\frac{3}{2}}}-\frac{2 b \arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+2 \sqrt{b}}{2 \sqrt{a}}\right)}{d \,a^{\frac{3}{2}} \left(a +b \right)^{\frac{3}{2}}}-\frac{3 b^{2} \arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 \sqrt{b}}{2 \sqrt{a}}\right)}{2 d \,a^{\frac{5}{2}} \left(a +b \right)^{\frac{3}{2}}}-\frac{3 b^{2} \arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+2 \sqrt{b}}{2 \sqrt{a}}\right)}{2 d \,a^{\frac{5}{2}} \left(a +b \right)^{\frac{3}{2}}}"," ",0,"-1/d/a^2/(tanh(1/2*d*x+1/2*c)-1)-1/d/a^2/(tanh(1/2*d*x+1/2*c)+1)-1/d/a^2*b^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)/(a+b)*tanh(1/2*d*x+1/2*c)^3+1/d/a^2*b^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)/(a+b)*tanh(1/2*d*x+1/2*c)-2/d/a^(3/2)*b/(a+b)^(3/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)-2*b^(1/2))/a^(1/2))-2/d/a^(3/2)*b/(a+b)^(3/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)+2*b^(1/2))/a^(1/2))-3/2/d/a^(5/2)*b^2/(a+b)^(3/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)-2*b^(1/2))/a^(1/2))-3/2/d/a^(5/2)*b^2/(a+b)^(3/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)+2*b^(1/2))/a^(1/2))","B"
86,1,331,70,0.345000," ","int(sech(d*x+c)/(a+b*sech(d*x+c)^2)^2,x)","\frac{b \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right) a \left(a +b \right)}-\frac{b \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right) a \left(a +b \right)}+\frac{\arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 \sqrt{b}}{2 \sqrt{a}}\right)}{d \left(a +b \right)^{\frac{3}{2}} \sqrt{a}}+\frac{\arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+2 \sqrt{b}}{2 \sqrt{a}}\right)}{d \left(a +b \right)^{\frac{3}{2}} \sqrt{a}}+\frac{b \arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 \sqrt{b}}{2 \sqrt{a}}\right)}{2 d \,a^{\frac{3}{2}} \left(a +b \right)^{\frac{3}{2}}}+\frac{b \arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+2 \sqrt{b}}{2 \sqrt{a}}\right)}{2 d \,a^{\frac{3}{2}} \left(a +b \right)^{\frac{3}{2}}}"," ",0,"1/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)*b/a/(a+b)*tanh(1/2*d*x+1/2*c)^3-1/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)*b/a/(a+b)*tanh(1/2*d*x+1/2*c)+1/d/(a+b)^(3/2)/a^(1/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)-2*b^(1/2))/a^(1/2))+1/d/(a+b)^(3/2)/a^(1/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)+2*b^(1/2))/a^(1/2))+1/2/d/a^(3/2)*b/(a+b)^(3/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)-2*b^(1/2))/a^(1/2))+1/2/d/a^(3/2)*b/(a+b)^(3/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)+2*b^(1/2))/a^(1/2))","B"
87,1,263,62,0.253000," ","int(sech(d*x+c)^2/(a+b*sech(d*x+c)^2)^2,x)","\frac{\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right) \left(a +b \right)}+\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right) \left(a +b \right)}-\frac{\ln \left(-\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\sqrt{a +b}\right)}{4 d \left(a +b \right)^{\frac{3}{2}} \sqrt{b}}+\frac{\ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{4 d \left(a +b \right)^{\frac{3}{2}} \sqrt{b}}"," ",0,"1/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)/(a+b)*tanh(1/2*d*x+1/2*c)^3+1/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)/(a+b)*tanh(1/2*d*x+1/2*c)-1/4/d/(a+b)^(3/2)/b^(1/2)*ln(-(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)-(a+b)^(1/2))+1/4/d/(a+b)^(3/2)/b^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))","B"
88,1,241,61,0.270000," ","int(sech(d*x+c)^3/(a+b*sech(d*x+c)^2)^2,x)","-\frac{\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right) \left(a +b \right)}+\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right) \left(a +b \right)}+\frac{\arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 \sqrt{b}}{2 \sqrt{a}}\right)}{2 d \left(a +b \right)^{\frac{3}{2}} \sqrt{a}}+\frac{\arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+2 \sqrt{b}}{2 \sqrt{a}}\right)}{2 d \left(a +b \right)^{\frac{3}{2}} \sqrt{a}}"," ",0,"-1/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)/(a+b)*tanh(1/2*d*x+1/2*c)^3+1/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)/(a+b)*tanh(1/2*d*x+1/2*c)+1/2/d/(a+b)^(3/2)/a^(1/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)-2*b^(1/2))/a^(1/2))+1/2/d/(a+b)^(3/2)/a^(1/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)+2*b^(1/2))/a^(1/2))","B"
89,1,374,71,0.294000," ","int(sech(d*x+c)^4/(a+b*sech(d*x+c)^2)^2,x)","-\frac{a \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right) b \left(a +b \right)}-\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right) b \left(a +b \right)}-\frac{a \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{4 d \left(a +b \right)^{\frac{3}{2}} b^{\frac{3}{2}}}+\frac{a \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{4 d \left(a +b \right)^{\frac{3}{2}} b^{\frac{3}{2}}}-\frac{\ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d \left(a +b \right)^{\frac{3}{2}} \sqrt{b}}+\frac{\ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d \left(a +b \right)^{\frac{3}{2}} \sqrt{b}}"," ",0,"-1/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)*a/b/(a+b)*tanh(1/2*d*x+1/2*c)^3-1/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)*a/b/(a+b)*tanh(1/2*d*x+1/2*c)-1/4/d/(a+b)^(3/2)/b^(3/2)*a*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2-2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))+1/4/d/(a+b)^(3/2)/b^(3/2)*a*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-1/2/d/(a+b)^(3/2)/b^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2-2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))+1/2/d/(a+b)^(3/2)/b^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))","B"
90,1,361,89,0.272000," ","int(sech(d*x+c)^5/(a+b*sech(d*x+c)^2)^2,x)","\frac{a \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right) b \left(a +b \right)}-\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right) b \left(a +b \right)}-\frac{a^{\frac{3}{2}} \arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 \sqrt{b}}{2 \sqrt{a}}\right)}{d \,b^{2} \left(a +b \right)^{\frac{3}{2}}}-\frac{a^{\frac{3}{2}} \arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+2 \sqrt{b}}{2 \sqrt{a}}\right)}{d \,b^{2} \left(a +b \right)^{\frac{3}{2}}}-\frac{3 \sqrt{a}\, \arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 \sqrt{b}}{2 \sqrt{a}}\right)}{2 d b \left(a +b \right)^{\frac{3}{2}}}-\frac{3 \sqrt{a}\, \arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+2 \sqrt{b}}{2 \sqrt{a}}\right)}{2 d b \left(a +b \right)^{\frac{3}{2}}}+\frac{2 \arctan \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,b^{2}}"," ",0,"1/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)*a/b/(a+b)*tanh(1/2*d*x+1/2*c)^3-1/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)*a/b/(a+b)*tanh(1/2*d*x+1/2*c)-1/d*a^(3/2)/b^2/(a+b)^(3/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)-2*b^(1/2))/a^(1/2))-1/d*a^(3/2)/b^2/(a+b)^(3/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)+2*b^(1/2))/a^(1/2))-3/2/d*a^(1/2)/b/(a+b)^(3/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)-2*b^(1/2))/a^(1/2))-3/2/d*a^(1/2)/b/(a+b)^(3/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)+2*b^(1/2))/a^(1/2))+2/d/b^2*arctan(tanh(1/2*d*x+1/2*c))","B"
91,1,419,89,0.276000," ","int(sech(d*x+c)^6/(a+b*sech(d*x+c)^2)^2,x)","\frac{a^{2} \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,b^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right) \left(a +b \right)}+\frac{a^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d \,b^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right) \left(a +b \right)}+\frac{3 a^{2} \ln \left(-\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\sqrt{a +b}\right)}{4 d \,b^{\frac{5}{2}} \left(a +b \right)^{\frac{3}{2}}}-\frac{3 a^{2} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{4 d \,b^{\frac{5}{2}} \left(a +b \right)^{\frac{3}{2}}}+\frac{a \ln \left(-\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\sqrt{a +b}\right)}{d \,b^{\frac{3}{2}} \left(a +b \right)^{\frac{3}{2}}}-\frac{a \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{d \left(a +b \right)^{\frac{3}{2}} b^{\frac{3}{2}}}+\frac{2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d \,b^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}"," ",0,"1/d*a^2/b^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)/(a+b)*tanh(1/2*d*x+1/2*c)^3+1/d*a^2/b^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)/(a+b)*tanh(1/2*d*x+1/2*c)+3/4/d*a^2/b^(5/2)/(a+b)^(3/2)*ln(-(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)-(a+b)^(1/2))-3/4/d*a^2/b^(5/2)/(a+b)^(3/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))+1/d*a/b^(3/2)/(a+b)^(3/2)*ln(-(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)-(a+b)^(1/2))-1/d/(a+b)^(3/2)/b^(3/2)*a*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))+2/d/b^2*tanh(1/2*d*x+1/2*c)/(tanh(1/2*d*x+1/2*c)^2+1)","B"
92,1,448,137,0.288000," ","int(sech(d*x+c)^7/(a+b*sech(d*x+c)^2)^2,x)","-\frac{a^{2} \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,b^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right) \left(a +b \right)}+\frac{a^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d \,b^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right) \left(a +b \right)}+\frac{2 a^{\frac{5}{2}} \arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 \sqrt{b}}{2 \sqrt{a}}\right)}{d \,b^{3} \left(a +b \right)^{\frac{3}{2}}}+\frac{2 a^{\frac{5}{2}} \arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+2 \sqrt{b}}{2 \sqrt{a}}\right)}{d \,b^{3} \left(a +b \right)^{\frac{3}{2}}}+\frac{5 a^{\frac{3}{2}} \arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 \sqrt{b}}{2 \sqrt{a}}\right)}{2 d \,b^{2} \left(a +b \right)^{\frac{3}{2}}}+\frac{5 a^{\frac{3}{2}} \arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+2 \sqrt{b}}{2 \sqrt{a}}\right)}{2 d \,b^{2} \left(a +b \right)^{\frac{3}{2}}}-\frac{\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)}{d \,b^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d \,b^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{\arctan \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,b^{2}}-\frac{4 \arctan \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right) a}{d \,b^{3}}"," ",0,"-1/d*a^2/b^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)/(a+b)*tanh(1/2*d*x+1/2*c)^3+1/d*a^2/b^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)/(a+b)*tanh(1/2*d*x+1/2*c)+2/d*a^(5/2)/b^3/(a+b)^(3/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)-2*b^(1/2))/a^(1/2))+2/d*a^(5/2)/b^3/(a+b)^(3/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)+2*b^(1/2))/a^(1/2))+5/2/d*a^(3/2)/b^2/(a+b)^(3/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)-2*b^(1/2))/a^(1/2))+5/2/d*a^(3/2)/b^2/(a+b)^(3/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)+2*b^(1/2))/a^(1/2))-1/d/b^2/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)^3+1/d/b^2/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)+1/d/b^2*arctan(tanh(1/2*d*x+1/2*c))-4/d/b^3*arctan(tanh(1/2*d*x+1/2*c))*a","B"
93,1,1435,186,0.591000," ","int(cosh(d*x+c)^2/(a+b*sech(d*x+c)^2)^3,x)","\frac{1}{2 d \,a^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}+\frac{1}{2 d \,a^{3} \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)}{2 d \,a^{3}}+\frac{3 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right) b}{d \,a^{4}}-\frac{1}{2 d \,a^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{1}{2 d \,a^{3} \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)}{2 d \,a^{3}}-\frac{3 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right) b}{d \,a^{4}}+\frac{13 b^{2} \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)}+\frac{2 b^{3} \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)}+\frac{39 b^{2} \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d a \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2}}+\frac{19 b^{3} \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2}}-\frac{2 b^{4} \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2}}+\frac{39 b^{2} \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d a \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2}}+\frac{19 b^{3} \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2}}-\frac{2 b^{4} \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2}}+\frac{13 b^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{4 d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)}+\frac{2 b^{3} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d \,a^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)}-\frac{35 b^{\frac{3}{2}} \ln \left(-\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\sqrt{a +b}\right)}{16 d \,a^{2} \left(a^{2}+2 a b +b^{2}\right) \sqrt{a +b}}-\frac{7 b^{\frac{5}{2}} \ln \left(-\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\sqrt{a +b}\right)}{2 d \,a^{3} \left(a^{2}+2 a b +b^{2}\right) \sqrt{a +b}}-\frac{3 b^{\frac{7}{2}} \ln \left(-\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\sqrt{a +b}\right)}{2 d \,a^{4} \left(a^{2}+2 a b +b^{2}\right) \sqrt{a +b}}+\frac{35 b^{\frac{3}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{16 d \,a^{2} \left(a^{2}+2 a b +b^{2}\right) \sqrt{a +b}}+\frac{7 b^{\frac{5}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d \,a^{3} \left(a^{2}+2 a b +b^{2}\right) \sqrt{a +b}}+\frac{3 b^{\frac{7}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d \,a^{4} \left(a^{2}+2 a b +b^{2}\right) \sqrt{a +b}}"," ",0,"1/2/d/a^3/(tanh(1/2*d*x+1/2*c)-1)^2+1/2/d/a^3/(tanh(1/2*d*x+1/2*c)-1)-1/2/d/a^3*ln(tanh(1/2*d*x+1/2*c)-1)+3/d/a^4*ln(tanh(1/2*d*x+1/2*c)-1)*b-1/2/d/a^3/(tanh(1/2*d*x+1/2*c)+1)^2+1/2/d/a^3/(tanh(1/2*d*x+1/2*c)+1)+1/2/d/a^3*ln(tanh(1/2*d*x+1/2*c)+1)-3/d/a^4*ln(tanh(1/2*d*x+1/2*c)+1)*b+13/4/d/a^2*b^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)*tanh(1/2*d*x+1/2*c)^7+2/d/a^3*b^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)*tanh(1/2*d*x+1/2*c)^7+39/4/d/a*b^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)^2*tanh(1/2*d*x+1/2*c)^5+19/4/d/a^2*b^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)^2*tanh(1/2*d*x+1/2*c)^5-2/d/a^3*b^4/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)^2*tanh(1/2*d*x+1/2*c)^5+39/4/d/a*b^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)^2*tanh(1/2*d*x+1/2*c)^3+19/4/d/a^2*b^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)^2*tanh(1/2*d*x+1/2*c)^3-2/d/a^3*b^4/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)^2*tanh(1/2*d*x+1/2*c)^3+13/4/d/a^2*b^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)*tanh(1/2*d*x+1/2*c)+2/d/a^3*b^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)*tanh(1/2*d*x+1/2*c)-35/16/d/a^2*b^(3/2)/(a^2+2*a*b+b^2)/(a+b)^(1/2)*ln(-(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)-(a+b)^(1/2))-7/2/d/a^3*b^(5/2)/(a^2+2*a*b+b^2)/(a+b)^(1/2)*ln(-(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)-(a+b)^(1/2))-3/2/d/a^4*b^(7/2)/(a^2+2*a*b+b^2)/(a+b)^(1/2)*ln(-(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)-(a+b)^(1/2))+35/16/d/a^2*b^(3/2)/(a^2+2*a*b+b^2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))+7/2/d/a^3*b^(5/2)/(a^2+2*a*b+b^2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))+3/2/d/a^4*b^(7/2)/(a^2+2*a*b+b^2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))","B"
94,1,1238,140,0.559000," ","int(cosh(d*x+c)/(a+b*sech(d*x+c)^2)^3,x)","-\frac{1}{d \,a^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}-\frac{1}{d \,a^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{3 b^{2} \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)}-\frac{7 b^{3} \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \,a^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)}-\frac{3 b^{2} \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d a \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2}}+\frac{21 b^{3} \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2}}+\frac{21 b^{4} \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \,a^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2}}+\frac{3 b^{2} \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d a \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2}}-\frac{21 b^{3} \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2}}-\frac{21 b^{4} \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \,a^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2}}+\frac{3 b^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)}+\frac{7 b^{3} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{4 d \,a^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)}-\frac{3 b \arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 \sqrt{b}}{2 \sqrt{a}}\right)}{d \,a^{\frac{3}{2}} \left(a^{2}+2 a b +b^{2}\right) \sqrt{a +b}}-\frac{9 b^{2} \arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 \sqrt{b}}{2 \sqrt{a}}\right)}{2 d \,a^{\frac{5}{2}} \left(a^{2}+2 a b +b^{2}\right) \sqrt{a +b}}-\frac{15 b^{3} \arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 \sqrt{b}}{2 \sqrt{a}}\right)}{8 d \,a^{\frac{7}{2}} \left(a^{2}+2 a b +b^{2}\right) \sqrt{a +b}}-\frac{3 b \arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+2 \sqrt{b}}{2 \sqrt{a}}\right)}{d \,a^{\frac{3}{2}} \left(a^{2}+2 a b +b^{2}\right) \sqrt{a +b}}-\frac{9 b^{2} \arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+2 \sqrt{b}}{2 \sqrt{a}}\right)}{2 d \,a^{\frac{5}{2}} \left(a^{2}+2 a b +b^{2}\right) \sqrt{a +b}}-\frac{15 b^{3} \arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+2 \sqrt{b}}{2 \sqrt{a}}\right)}{8 d \,a^{\frac{7}{2}} \left(a^{2}+2 a b +b^{2}\right) \sqrt{a +b}}"," ",0,"-1/d/a^3/(tanh(1/2*d*x+1/2*c)-1)-1/d/a^3/(tanh(1/2*d*x+1/2*c)+1)-3/d/a^2*b^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)*tanh(1/2*d*x+1/2*c)^7-7/4/d/a^3*b^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)*tanh(1/2*d*x+1/2*c)^7-3/d/a*b^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)^2*tanh(1/2*d*x+1/2*c)^5+21/4/d/a^2*b^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)^2*tanh(1/2*d*x+1/2*c)^5+21/4/d/a^3*b^4/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)^2*tanh(1/2*d*x+1/2*c)^5+3/d/a*b^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)^2*tanh(1/2*d*x+1/2*c)^3-21/4/d/a^2*b^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)^2*tanh(1/2*d*x+1/2*c)^3-21/4/d/a^3*b^4/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)^2*tanh(1/2*d*x+1/2*c)^3+3/d/a^2*b^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)*tanh(1/2*d*x+1/2*c)+7/4/d/a^3*b^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)*tanh(1/2*d*x+1/2*c)-3/d/a^(3/2)*b/(a^2+2*a*b+b^2)/(a+b)^(1/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)-2*b^(1/2))/a^(1/2))-9/2/d/a^(5/2)*b^2/(a^2+2*a*b+b^2)/(a+b)^(1/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)-2*b^(1/2))/a^(1/2))-15/8/d/a^(7/2)*b^3/(a^2+2*a*b+b^2)/(a+b)^(1/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)-2*b^(1/2))/a^(1/2))-3/d/a^(3/2)*b/(a^2+2*a*b+b^2)/(a+b)^(1/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)+2*b^(1/2))/a^(1/2))-9/2/d/a^(5/2)*b^2/(a^2+2*a*b+b^2)/(a+b)^(1/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)+2*b^(1/2))/a^(1/2))-15/8/d/a^(7/2)*b^3/(a^2+2*a*b+b^2)/(a+b)^(1/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)+2*b^(1/2))/a^(1/2))","B"
95,1,1172,128,0.398000," ","int(sech(d*x+c)/(a+b*sech(d*x+c)^2)^3,x)","\frac{2 b \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right) a}+\frac{3 b^{2} \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)}+\frac{2 b \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2}}-\frac{13 b^{2} \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d a \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2}}-\frac{9 b^{3} \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2}}-\frac{2 b \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2}}+\frac{13 b^{2} \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d a \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2}}+\frac{9 b^{3} \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2}}-\frac{2 b \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right) a}-\frac{3 b^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{4 d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)}+\frac{\arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 \sqrt{b}}{2 \sqrt{a}}\right)}{d \left(a^{2}+2 a b +b^{2}\right) \sqrt{a +b}\, \sqrt{a}}+\frac{b \arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 \sqrt{b}}{2 \sqrt{a}}\right)}{d \,a^{\frac{3}{2}} \left(a^{2}+2 a b +b^{2}\right) \sqrt{a +b}}+\frac{3 b^{2} \arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 \sqrt{b}}{2 \sqrt{a}}\right)}{8 d \,a^{\frac{5}{2}} \left(a^{2}+2 a b +b^{2}\right) \sqrt{a +b}}+\frac{\arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+2 \sqrt{b}}{2 \sqrt{a}}\right)}{d \left(a^{2}+2 a b +b^{2}\right) \sqrt{a +b}\, \sqrt{a}}+\frac{b \arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+2 \sqrt{b}}{2 \sqrt{a}}\right)}{d \,a^{\frac{3}{2}} \left(a^{2}+2 a b +b^{2}\right) \sqrt{a +b}}+\frac{3 b^{2} \arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+2 \sqrt{b}}{2 \sqrt{a}}\right)}{8 d \,a^{\frac{5}{2}} \left(a^{2}+2 a b +b^{2}\right) \sqrt{a +b}}"," ",0,"2/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*b/(a+b)/a*tanh(1/2*d*x+1/2*c)^7+3/4/d/a^2*b^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)*tanh(1/2*d*x+1/2*c)^7+2/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*b/(a+b)^2*tanh(1/2*d*x+1/2*c)^5-13/4/d/a*b^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)^2*tanh(1/2*d*x+1/2*c)^5-9/4/d/a^2*b^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)^2*tanh(1/2*d*x+1/2*c)^5-2/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*b/(a+b)^2*tanh(1/2*d*x+1/2*c)^3+13/4/d/a*b^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)^2*tanh(1/2*d*x+1/2*c)^3+9/4/d/a^2*b^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)^2*tanh(1/2*d*x+1/2*c)^3-2/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*b/(a+b)/a*tanh(1/2*d*x+1/2*c)-3/4/d/a^2*b^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)*tanh(1/2*d*x+1/2*c)+1/d/(a^2+2*a*b+b^2)/(a+b)^(1/2)/a^(1/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)-2*b^(1/2))/a^(1/2))+1/d/a^(3/2)*b/(a^2+2*a*b+b^2)/(a+b)^(1/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)-2*b^(1/2))/a^(1/2))+3/8/d/a^(5/2)*b^2/(a^2+2*a*b+b^2)/(a+b)^(1/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)-2*b^(1/2))/a^(1/2))+1/d/(a^2+2*a*b+b^2)/(a+b)^(1/2)/a^(1/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)+2*b^(1/2))/a^(1/2))+1/d/a^(3/2)*b/(a^2+2*a*b+b^2)/(a+b)^(1/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)+2*b^(1/2))/a^(1/2))+3/8/d/a^(5/2)*b^2/(a^2+2*a*b+b^2)/(a+b)^(1/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)+2*b^(1/2))/a^(1/2))","B"
96,1,615,94,0.344000," ","int(sech(d*x+c)^2/(a+b*sech(d*x+c)^2)^3,x)","\frac{5 \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)}+\frac{15 \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2}}+\frac{3 b \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2}}+\frac{15 \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2}}+\frac{3 b \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2}}+\frac{5 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)}-\frac{3 \ln \left(-\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\sqrt{a +b}\right)}{16 d \left(a^{2}+2 a b +b^{2}\right) \sqrt{b}\, \sqrt{a +b}}+\frac{3 \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{16 d \left(a^{2}+2 a b +b^{2}\right) \sqrt{b}\, \sqrt{a +b}}"," ",0,"5/4/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)*tanh(1/2*d*x+1/2*c)^7+15/4/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)^2*tanh(1/2*d*x+1/2*c)^5*a+3/4/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*b/(a+b)^2*tanh(1/2*d*x+1/2*c)^5+15/4/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)^2*tanh(1/2*d*x+1/2*c)^3*a+3/4/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*b/(a+b)^2*tanh(1/2*d*x+1/2*c)^3+5/4/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)*tanh(1/2*d*x+1/2*c)-3/16/d/(a^2+2*a*b+b^2)/b^(1/2)/(a+b)^(1/2)*ln(-(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)-(a+b)^(1/2))+3/16/d/(a^2+2*a*b+b^2)/b^(1/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))","B"
97,1,1038,109,0.342000," ","int(sech(d*x+c)^3/(a+b*sech(d*x+c)^2)^3,x)","-\frac{\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)}+\frac{b \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right) a}-\frac{\left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2}}+\frac{5 b \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2}}-\frac{3 b^{2} \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d a \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2}}+\frac{\left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2}}-\frac{5 b \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2}}+\frac{3 b^{2} \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d a \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2}}+\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)}-\frac{b \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right) a}+\frac{\arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 \sqrt{b}}{2 \sqrt{a}}\right)}{2 d \left(a^{2}+2 a b +b^{2}\right) \sqrt{a +b}\, \sqrt{a}}+\frac{\arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+2 \sqrt{b}}{2 \sqrt{a}}\right)}{2 d \left(a^{2}+2 a b +b^{2}\right) \sqrt{a +b}\, \sqrt{a}}+\frac{b \arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 \sqrt{b}}{2 \sqrt{a}}\right)}{8 d \,a^{\frac{3}{2}} \left(a^{2}+2 a b +b^{2}\right) \sqrt{a +b}}+\frac{b \arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+2 \sqrt{b}}{2 \sqrt{a}}\right)}{8 d \,a^{\frac{3}{2}} \left(a^{2}+2 a b +b^{2}\right) \sqrt{a +b}}"," ",0,"-1/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)*tanh(1/2*d*x+1/2*c)^7+1/4/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*b/(a+b)/a*tanh(1/2*d*x+1/2*c)^7-1/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)^2*tanh(1/2*d*x+1/2*c)^5*a+5/4/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*b/(a+b)^2*tanh(1/2*d*x+1/2*c)^5-3/4/d/a*b^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)^2*tanh(1/2*d*x+1/2*c)^5+1/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)^2*tanh(1/2*d*x+1/2*c)^3*a-5/4/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*b/(a+b)^2*tanh(1/2*d*x+1/2*c)^3+3/4/d/a*b^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)^2*tanh(1/2*d*x+1/2*c)^3+1/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)*tanh(1/2*d*x+1/2*c)-1/4/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*b/(a+b)/a*tanh(1/2*d*x+1/2*c)+1/2/d/(a^2+2*a*b+b^2)/(a+b)^(1/2)/a^(1/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)-2*b^(1/2))/a^(1/2))+1/2/d/(a^2+2*a*b+b^2)/(a+b)^(1/2)/a^(1/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)+2*b^(1/2))/a^(1/2))+1/8/d/a^(3/2)*b/(a^2+2*a*b+b^2)/(a+b)^(1/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)-2*b^(1/2))/a^(1/2))+1/8/d/a^(3/2)*b/(a^2+2*a*b+b^2)/(a+b)^(1/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)+2*b^(1/2))/a^(1/2))","B"
98,1,1084,111,0.284000," ","int(sech(d*x+c)^4/(a+b*sech(d*x+c)^2)^3,x)","-\frac{\left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} b \left(a +b \right)}+\frac{\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)}-\frac{3 \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a^{2}}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2} b}+\frac{5 \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2}}-\frac{b \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2}}-\frac{3 \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a^{2}}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2} b}+\frac{5 \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2}}-\frac{b \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2}}-\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) a}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} b \left(a +b \right)}+\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)}-\frac{a \ln \left(-\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\sqrt{a +b}\right)}{16 d \,b^{\frac{3}{2}} \left(a^{2}+2 a b +b^{2}\right) \sqrt{a +b}}+\frac{a \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{16 d \,b^{\frac{3}{2}} \left(a^{2}+2 a b +b^{2}\right) \sqrt{a +b}}-\frac{\ln \left(-\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\sqrt{a +b}\right)}{4 d \left(a^{2}+2 a b +b^{2}\right) \sqrt{b}\, \sqrt{a +b}}+\frac{\ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{4 d \left(a^{2}+2 a b +b^{2}\right) \sqrt{b}\, \sqrt{a +b}}"," ",0,"-1/4/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/b/(a+b)*tanh(1/2*d*x+1/2*c)^7*a+1/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)*tanh(1/2*d*x+1/2*c)^7-3/4/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)^2/b*tanh(1/2*d*x+1/2*c)^5*a^2+5/4/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)^2*tanh(1/2*d*x+1/2*c)^5*a-1/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*b/(a+b)^2*tanh(1/2*d*x+1/2*c)^5-3/4/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)^2/b*tanh(1/2*d*x+1/2*c)^3*a^2+5/4/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)^2*tanh(1/2*d*x+1/2*c)^3*a-1/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*b/(a+b)^2*tanh(1/2*d*x+1/2*c)^3-1/4/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/b/(a+b)*tanh(1/2*d*x+1/2*c)*a+1/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)*tanh(1/2*d*x+1/2*c)-1/16/d/b^(3/2)/(a^2+2*a*b+b^2)*a/(a+b)^(1/2)*ln(-(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)-(a+b)^(1/2))+1/16/d/b^(3/2)/(a^2+2*a*b+b^2)*a/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-1/4/d/(a^2+2*a*b+b^2)/b^(1/2)/(a+b)^(1/2)*ln(-(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)-(a+b)^(1/2))+1/4/d/(a^2+2*a*b+b^2)/b^(1/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))","B"
99,1,592,92,0.320000," ","int(sech(d*x+c)^5/(a+b*sech(d*x+c)^2)^3,x)","-\frac{5 \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)}+\frac{3 \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2}}+\frac{15 b \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2}}-\frac{3 \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2}}-\frac{15 b \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2}}+\frac{5 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)}+\frac{3 \arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-2 \sqrt{b}}{2 \sqrt{a}}\right)}{8 d \left(a^{2}+2 a b +b^{2}\right) \sqrt{a +b}\, \sqrt{a}}+\frac{3 \arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+2 \sqrt{b}}{2 \sqrt{a}}\right)}{8 d \left(a^{2}+2 a b +b^{2}\right) \sqrt{a +b}\, \sqrt{a}}"," ",0,"-5/4/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)*tanh(1/2*d*x+1/2*c)^7+3/4/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)^2*tanh(1/2*d*x+1/2*c)^5*a+15/4/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*b/(a+b)^2*tanh(1/2*d*x+1/2*c)^5-3/4/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)^2*tanh(1/2*d*x+1/2*c)^3*a-15/4/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*b/(a+b)^2*tanh(1/2*d*x+1/2*c)^3+5/4/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)*tanh(1/2*d*x+1/2*c)+3/8/d/(a^2+2*a*b+b^2)/(a+b)^(1/2)/a^(1/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)-2*b^(1/2))/a^(1/2))+3/8/d/(a^2+2*a*b+b^2)/(a+b)^(1/2)/a^(1/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)+2*b^(1/2))/a^(1/2))","B"
100,1,1245,130,0.345000," ","int(sech(d*x+c)^6/(a+b*sech(d*x+c)^2)^3,x)","-\frac{3 a^{2} \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right) b^{2}}-\frac{2 \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} b \left(a +b \right)}-\frac{9 a^{3} \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2} b^{2}}-\frac{13 \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a^{2}}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2} b}+\frac{2 \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2}}-\frac{9 a^{3} \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2} b^{2}}-\frac{13 \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a^{2}}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2} b}+\frac{2 \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2}}-\frac{3 a^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right) b^{2}}-\frac{2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) a}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} b \left(a +b \right)}-\frac{3 \ln \left(-\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\sqrt{a +b}\right) a^{2}}{16 d \,b^{\frac{5}{2}} \left(a^{2}+2 a b +b^{2}\right) \sqrt{a +b}}-\frac{a \ln \left(-\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\sqrt{a +b}\right)}{2 d \,b^{\frac{3}{2}} \left(a^{2}+2 a b +b^{2}\right) \sqrt{a +b}}-\frac{\ln \left(-\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\sqrt{a +b}\right)}{2 d \left(a^{2}+2 a b +b^{2}\right) \sqrt{b}\, \sqrt{a +b}}+\frac{3 \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right) a^{2}}{16 d \,b^{\frac{5}{2}} \left(a^{2}+2 a b +b^{2}\right) \sqrt{a +b}}+\frac{a \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d \,b^{\frac{3}{2}} \left(a^{2}+2 a b +b^{2}\right) \sqrt{a +b}}+\frac{\ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d \left(a^{2}+2 a b +b^{2}\right) \sqrt{b}\, \sqrt{a +b}}"," ",0,"-3/4/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*a^2/(a+b)/b^2*tanh(1/2*d*x+1/2*c)^7-2/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/b/(a+b)*tanh(1/2*d*x+1/2*c)^7*a-9/4/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*a^3/(a+b)^2/b^2*tanh(1/2*d*x+1/2*c)^5-13/4/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)^2/b*tanh(1/2*d*x+1/2*c)^5*a^2+2/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)^2*tanh(1/2*d*x+1/2*c)^5*a-9/4/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*a^3/(a+b)^2/b^2*tanh(1/2*d*x+1/2*c)^3-13/4/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)^2/b*tanh(1/2*d*x+1/2*c)^3*a^2+2/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)^2*tanh(1/2*d*x+1/2*c)^3*a-3/4/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*a^2/(a+b)/b^2*tanh(1/2*d*x+1/2*c)-2/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/b/(a+b)*tanh(1/2*d*x+1/2*c)*a-3/16/d/b^(5/2)/(a^2+2*a*b+b^2)/(a+b)^(1/2)*ln(-(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)-(a+b)^(1/2))*a^2-1/2/d/b^(3/2)/(a^2+2*a*b+b^2)*a/(a+b)^(1/2)*ln(-(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)-(a+b)^(1/2))-1/2/d/(a^2+2*a*b+b^2)/b^(1/2)/(a+b)^(1/2)*ln(-(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)-(a+b)^(1/2))+3/16/d/b^(5/2)/(a^2+2*a*b+b^2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))*a^2+1/2/d/b^(3/2)/(a^2+2*a*b+b^2)*a/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))+1/2/d/(a^2+2*a*b+b^2)/b^(1/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))","B"
101,1,1201,139,0.299000," ","int(sech(d*x+c)^7/(a+b*sech(d*x+c)^2)^3,x)","\frac{a^{2} \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right) b^{2}}+\frac{9 \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} b \left(a +b \right)}+\frac{a^{3} \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2} b^{2}}-\frac{11 \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a^{2}}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2} b}-\frac{27 \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2}}-\frac{a^{3} \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2} b^{2}}+\frac{11 \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a^{2}}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2} b}+\frac{27 \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2}}-\frac{a^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right) b^{2}}-\frac{9 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) a}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} b \left(a +b \right)}+\frac{a^{\frac{5}{2}} \arctan \left(\frac{-2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+2 \sqrt{b}}{2 \sqrt{a}}\right)}{d \,b^{3} \left(a^{2}+2 a b +b^{2}\right) \sqrt{a +b}}+\frac{5 a^{\frac{3}{2}} \arctan \left(\frac{-2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+2 \sqrt{b}}{2 \sqrt{a}}\right)}{2 d \,b^{2} \left(a^{2}+2 a b +b^{2}\right) \sqrt{a +b}}+\frac{15 \sqrt{a}\, \arctan \left(\frac{-2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+2 \sqrt{b}}{2 \sqrt{a}}\right)}{8 d b \left(a^{2}+2 a b +b^{2}\right) \sqrt{a +b}}-\frac{a^{\frac{5}{2}} \arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+2 \sqrt{b}}{2 \sqrt{a}}\right)}{d \,b^{3} \left(a^{2}+2 a b +b^{2}\right) \sqrt{a +b}}-\frac{5 a^{\frac{3}{2}} \arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+2 \sqrt{b}}{2 \sqrt{a}}\right)}{2 d \,b^{2} \left(a^{2}+2 a b +b^{2}\right) \sqrt{a +b}}-\frac{15 \sqrt{a}\, \arctan \left(\frac{2 \sqrt{a +b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+2 \sqrt{b}}{2 \sqrt{a}}\right)}{8 d b \left(a^{2}+2 a b +b^{2}\right) \sqrt{a +b}}+\frac{2 \arctan \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,b^{3}}"," ",0,"1/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*a^2/(a+b)/b^2*tanh(1/2*d*x+1/2*c)^7+9/4/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/b/(a+b)*tanh(1/2*d*x+1/2*c)^7*a+1/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*a^3/(a+b)^2/b^2*tanh(1/2*d*x+1/2*c)^5-11/4/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)^2/b*tanh(1/2*d*x+1/2*c)^5*a^2-27/4/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)^2*tanh(1/2*d*x+1/2*c)^5*a-1/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*a^3/(a+b)^2/b^2*tanh(1/2*d*x+1/2*c)^3+11/4/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)^2/b*tanh(1/2*d*x+1/2*c)^3*a^2+27/4/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)^2*tanh(1/2*d*x+1/2*c)^3*a-1/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*a^2/(a+b)/b^2*tanh(1/2*d*x+1/2*c)-9/4/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/b/(a+b)*tanh(1/2*d*x+1/2*c)*a+1/d*a^(5/2)/b^3/(a^2+2*a*b+b^2)/(a+b)^(1/2)*arctan(1/2*(-2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)+2*b^(1/2))/a^(1/2))+5/2/d*a^(3/2)/b^2/(a^2+2*a*b+b^2)/(a+b)^(1/2)*arctan(1/2*(-2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)+2*b^(1/2))/a^(1/2))+15/8/d*a^(1/2)/b/(a^2+2*a*b+b^2)/(a+b)^(1/2)*arctan(1/2*(-2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)+2*b^(1/2))/a^(1/2))-1/d*a^(5/2)/b^3/(a^2+2*a*b+b^2)/(a+b)^(1/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)+2*b^(1/2))/a^(1/2))-5/2/d*a^(3/2)/b^2/(a^2+2*a*b+b^2)/(a+b)^(1/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)+2*b^(1/2))/a^(1/2))-15/8/d*a^(1/2)/b/(a^2+2*a*b+b^2)/(a+b)^(1/2)*arctan(1/2*(2*(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)+2*b^(1/2))/a^(1/2))+2/d/b^3*arctan(tanh(1/2*d*x+1/2*c))","B"
102,1,98,44,0.329000," ","int((a+b*sech(d*x+c)^2)*tanh(d*x+c)^4,x)","\frac{a \left(d x +c -\tanh \left(d x +c \right)-\frac{\left(\tanh^{3}\left(d x +c \right)\right)}{3}\right)+b \left(-\frac{\sinh^{3}\left(d x +c \right)}{2 \cosh \left(d x +c \right)^{5}}-\frac{3 \sinh \left(d x +c \right)}{8 \cosh \left(d x +c \right)^{5}}+\frac{3 \left(\frac{8}{15}+\frac{\mathrm{sech}\left(d x +c \right)^{4}}{5}+\frac{4 \mathrm{sech}\left(d x +c \right)^{2}}{15}\right) \tanh \left(d x +c \right)}{8}\right)}{d}"," ",0,"1/d*(a*(d*x+c-tanh(d*x+c)-1/3*tanh(d*x+c)^3)+b*(-1/2*sinh(d*x+c)^3/cosh(d*x+c)^5-3/8*sinh(d*x+c)/cosh(d*x+c)^5+3/8*(8/15+1/5*sech(d*x+c)^4+4/15*sech(d*x+c)^2)*tanh(d*x+c)))","B"
103,1,64,45,0.201000," ","int((a+b*sech(d*x+c)^2)*tanh(d*x+c)^3,x)","\frac{a \ln \left(\cosh \left(d x +c \right)\right)}{d}-\frac{\left(\tanh^{2}\left(d x +c \right)\right) a}{2 d}-\frac{b \left(\sinh^{2}\left(d x +c \right)\right)}{2 d \cosh \left(d x +c \right)^{4}}-\frac{b}{4 d \cosh \left(d x +c \right)^{4}}"," ",0,"a*ln(cosh(d*x+c))/d-1/2/d*tanh(d*x+c)^2*a-1/2/d*b*sinh(d*x+c)^2/cosh(d*x+c)^4-1/4/d*b/cosh(d*x+c)^4","A"
104,1,60,30,0.328000," ","int((a+b*sech(d*x+c)^2)*tanh(d*x+c)^2,x)","\frac{a \left(d x +c -\tanh \left(d x +c \right)\right)+b \left(-\frac{\sinh \left(d x +c \right)}{2 \cosh \left(d x +c \right)^{3}}+\frac{\left(\frac{2}{3}+\frac{\mathrm{sech}\left(d x +c \right)^{2}}{3}\right) \tanh \left(d x +c \right)}{2}\right)}{d}"," ",0,"1/d*(a*(d*x+c-tanh(d*x+c))+b*(-1/2*sinh(d*x+c)/cosh(d*x+c)^3+1/2*(2/3+1/3*sech(d*x+c)^2)*tanh(d*x+c)))","A"
105,1,29,27,0.138000," ","int((a+b*sech(d*x+c)^2)*tanh(d*x+c),x)","-\frac{b \mathrm{sech}\left(d x +c \right)^{2}}{2 d}-\frac{a \ln \left(\mathrm{sech}\left(d x +c \right)\right)}{d}"," ",0,"-1/2*b*sech(d*x+c)^2/d-1/d*a*ln(sech(d*x+c))","A"
106,1,16,15,0.269000," ","int(a+b*sech(d*x+c)^2,x)","a x +\frac{b \tanh \left(d x +c \right)}{d}"," ",0,"a*x+b*tanh(d*x+c)/d","A"
107,1,26,28,0.256000," ","int(coth(d*x+c)*(a+b*sech(d*x+c)^2),x)","\frac{b \ln \left(\tanh \left(d x +c \right)\right)}{d}+\frac{a \ln \left(\sinh \left(d x +c \right)\right)}{d}"," ",0,"b*ln(tanh(d*x+c))/d+a*ln(sinh(d*x+c))/d","A"
108,1,30,18,0.333000," ","int(coth(d*x+c)^2*(a+b*sech(d*x+c)^2),x)","\frac{a \left(d x +c -\coth \left(d x +c \right)\right)-b \coth \left(d x +c \right)}{d}"," ",0,"1/d*(a*(d*x+c-coth(d*x+c))-b*coth(d*x+c))","A"
109,1,42,29,0.329000," ","int(coth(d*x+c)^3*(a+b*sech(d*x+c)^2),x)","\frac{a \ln \left(\sinh \left(d x +c \right)\right)}{d}-\frac{a \left(\coth^{2}\left(d x +c \right)\right)}{2 d}-\frac{b}{2 d \sinh \left(d x +c \right)^{2}}"," ",0,"a*ln(sinh(d*x+c))/d-1/2*a*coth(d*x+c)^2/d-1/2/d/sinh(d*x+c)^2*b","A"
110,1,70,32,0.389000," ","int(coth(d*x+c)^4*(a+b*sech(d*x+c)^2),x)","\frac{a \left(d x +c -\coth \left(d x +c \right)-\frac{\left(\coth^{3}\left(d x +c \right)\right)}{3}\right)+b \left(-\frac{\cosh \left(d x +c \right)}{2 \sinh \left(d x +c \right)^{3}}-\frac{\left(\frac{2}{3}-\frac{\mathrm{csch}\left(d x +c \right)^{2}}{3}\right) \coth \left(d x +c \right)}{2}\right)}{d}"," ",0,"1/d*(a*(d*x+c-coth(d*x+c)-1/3*coth(d*x+c)^3)+b*(-1/2/sinh(d*x+c)^3*cosh(d*x+c)-1/2*(2/3-1/3*csch(d*x+c)^2)*coth(d*x+c)))","B"
111,1,78,47,0.313000," ","int(coth(d*x+c)^5*(a+b*sech(d*x+c)^2),x)","\frac{a \ln \left(\sinh \left(d x +c \right)\right)}{d}-\frac{a \left(\coth^{2}\left(d x +c \right)\right)}{2 d}-\frac{a \left(\coth^{4}\left(d x +c \right)\right)}{4 d}-\frac{b \left(\cosh^{2}\left(d x +c \right)\right)}{2 d \sinh \left(d x +c \right)^{4}}+\frac{b}{4 d \sinh \left(d x +c \right)^{4}}"," ",0,"a*ln(sinh(d*x+c))/d-1/2*a*coth(d*x+c)^2/d-1/4*a*coth(d*x+c)^4/d-1/2/d*b/sinh(d*x+c)^4*cosh(d*x+c)^2+1/4/d*b/sinh(d*x+c)^4","A"
112,1,181,71,0.437000," ","int((a+b*sech(d*x+c)^2)^2*tanh(d*x+c)^4,x)","\frac{a^{2} \left(d x +c -\tanh \left(d x +c \right)-\frac{\left(\tanh^{3}\left(d x +c \right)\right)}{3}\right)+2 a b \left(-\frac{\sinh^{3}\left(d x +c \right)}{2 \cosh \left(d x +c \right)^{5}}-\frac{3 \sinh \left(d x +c \right)}{8 \cosh \left(d x +c \right)^{5}}+\frac{3 \left(\frac{8}{15}+\frac{\mathrm{sech}\left(d x +c \right)^{4}}{5}+\frac{4 \mathrm{sech}\left(d x +c \right)^{2}}{15}\right) \tanh \left(d x +c \right)}{8}\right)+b^{2} \left(-\frac{\sinh^{3}\left(d x +c \right)}{4 \cosh \left(d x +c \right)^{7}}-\frac{\sinh \left(d x +c \right)}{8 \cosh \left(d x +c \right)^{7}}+\frac{\left(\frac{16}{35}+\frac{\mathrm{sech}\left(d x +c \right)^{6}}{7}+\frac{6 \mathrm{sech}\left(d x +c \right)^{4}}{35}+\frac{8 \mathrm{sech}\left(d x +c \right)^{2}}{35}\right) \tanh \left(d x +c \right)}{8}\right)}{d}"," ",0,"1/d*(a^2*(d*x+c-tanh(d*x+c)-1/3*tanh(d*x+c)^3)+2*a*b*(-1/2*sinh(d*x+c)^3/cosh(d*x+c)^5-3/8*sinh(d*x+c)/cosh(d*x+c)^5+3/8*(8/15+1/5*sech(d*x+c)^4+4/15*sech(d*x+c)^2)*tanh(d*x+c))+b^2*(-1/4*sinh(d*x+c)^3/cosh(d*x+c)^7-1/8*sinh(d*x+c)/cosh(d*x+c)^7+1/8*(16/35+1/7*sech(d*x+c)^6+6/35*sech(d*x+c)^4+8/35*sech(d*x+c)^2)*tanh(d*x+c)))","B"
113,1,110,71,0.242000," ","int((a+b*sech(d*x+c)^2)^2*tanh(d*x+c)^3,x)","\frac{a^{2} \ln \left(\cosh \left(d x +c \right)\right)}{d}-\frac{\left(\tanh^{2}\left(d x +c \right)\right) a^{2}}{2 d}-\frac{a b \left(\sinh^{2}\left(d x +c \right)\right)}{d \cosh \left(d x +c \right)^{4}}-\frac{a b}{2 d \cosh \left(d x +c \right)^{4}}-\frac{b^{2} \left(\sinh^{2}\left(d x +c \right)\right)}{4 d \cosh \left(d x +c \right)^{6}}-\frac{b^{2}}{12 d \cosh \left(d x +c \right)^{6}}"," ",0,"a^2*ln(cosh(d*x+c))/d-1/2/d*tanh(d*x+c)^2*a^2-1/d*a*b*sinh(d*x+c)^2/cosh(d*x+c)^4-1/2/d*a*b/cosh(d*x+c)^4-1/4/d*b^2*sinh(d*x+c)^2/cosh(d*x+c)^6-1/12/d*b^2/cosh(d*x+c)^6","A"
114,1,115,55,0.405000," ","int((a+b*sech(d*x+c)^2)^2*tanh(d*x+c)^2,x)","\frac{a^{2} \left(d x +c -\tanh \left(d x +c \right)\right)+2 a b \left(-\frac{\sinh \left(d x +c \right)}{2 \cosh \left(d x +c \right)^{3}}+\frac{\left(\frac{2}{3}+\frac{\mathrm{sech}\left(d x +c \right)^{2}}{3}\right) \tanh \left(d x +c \right)}{2}\right)+b^{2} \left(-\frac{\sinh \left(d x +c \right)}{4 \cosh \left(d x +c \right)^{5}}+\frac{\left(\frac{8}{15}+\frac{\mathrm{sech}\left(d x +c \right)^{4}}{5}+\frac{4 \mathrm{sech}\left(d x +c \right)^{2}}{15}\right) \tanh \left(d x +c \right)}{4}\right)}{d}"," ",0,"1/d*(a^2*(d*x+c-tanh(d*x+c))+2*a*b*(-1/2*sinh(d*x+c)/cosh(d*x+c)^3+1/2*(2/3+1/3*sech(d*x+c)^2)*tanh(d*x+c))+b^2*(-1/4*sinh(d*x+c)/cosh(d*x+c)^5+1/4*(8/15+1/5*sech(d*x+c)^4+4/15*sech(d*x+c)^2)*tanh(d*x+c)))","B"
115,1,48,46,0.158000," ","int((a+b*sech(d*x+c)^2)^2*tanh(d*x+c),x)","-\frac{b^{2} \mathrm{sech}\left(d x +c \right)^{4}}{4 d}-\frac{a b \mathrm{sech}\left(d x +c \right)^{2}}{d}-\frac{a^{2} \ln \left(\mathrm{sech}\left(d x +c \right)\right)}{d}"," ",0,"-1/4*b^2*sech(d*x+c)^4/d-a*b*sech(d*x+c)^2/d-1/d*a^2*ln(sech(d*x+c))","A"
116,1,47,38,0.365000," ","int((a+b*sech(d*x+c)^2)^2,x)","\frac{a^{2} \left(d x +c \right)+2 a b \tanh \left(d x +c \right)+b^{2} \left(\frac{2}{3}+\frac{\mathrm{sech}\left(d x +c \right)^{2}}{3}\right) \tanh \left(d x +c \right)}{d}"," ",0,"1/d*(a^2*(d*x+c)+2*a*b*tanh(d*x+c)+b^2*(2/3+1/3*sech(d*x+c)^2)*tanh(d*x+c))","A"
117,1,60,51,0.262000," ","int(coth(d*x+c)*(a+b*sech(d*x+c)^2)^2,x)","\frac{a^{2} \ln \left(\sinh \left(d x +c \right)\right)}{d}+\frac{2 a b \ln \left(\tanh \left(d x +c \right)\right)}{d}+\frac{b^{2}}{2 d \cosh \left(d x +c \right)^{2}}+\frac{b^{2} \ln \left(\tanh \left(d x +c \right)\right)}{d}"," ",0,"a^2*ln(sinh(d*x+c))/d+2*a*b*ln(tanh(d*x+c))/d+1/2/d*b^2/cosh(d*x+c)^2+1/d*b^2*ln(tanh(d*x+c))","A"
118,1,64,36,0.388000," ","int(coth(d*x+c)^2*(a+b*sech(d*x+c)^2)^2,x)","\frac{a^{2} \left(d x +c -\coth \left(d x +c \right)\right)-2 a b \coth \left(d x +c \right)+b^{2} \left(-\frac{1}{\sinh \left(d x +c \right) \cosh \left(d x +c \right)}-2 \tanh \left(d x +c \right)\right)}{d}"," ",0,"1/d*(a^2*(d*x+c-coth(d*x+c))-2*a*b*coth(d*x+c)+b^2*(-1/sinh(d*x+c)/cosh(d*x+c)-2*tanh(d*x+c)))","A"
119,1,78,53,0.311000," ","int(coth(d*x+c)^3*(a+b*sech(d*x+c)^2)^2,x)","\frac{a^{2} \ln \left(\sinh \left(d x +c \right)\right)}{d}-\frac{a^{2} \left(\coth^{2}\left(d x +c \right)\right)}{2 d}-\frac{a b}{d \sinh \left(d x +c \right)^{2}}-\frac{b^{2}}{2 d \sinh \left(d x +c \right)^{2}}-\frac{b^{2} \ln \left(\tanh \left(d x +c \right)\right)}{d}"," ",0,"a^2*ln(sinh(d*x+c))/d-1/2*a^2*coth(d*x+c)^2/d-1/d/sinh(d*x+c)^2*a*b-1/2/d*b^2/sinh(d*x+c)^2-1/d*b^2*ln(tanh(d*x+c))","A"
120,1,96,44,0.360000," ","int(coth(d*x+c)^4*(a+b*sech(d*x+c)^2)^2,x)","\frac{a^{2} \left(d x +c -\coth \left(d x +c \right)-\frac{\left(\coth^{3}\left(d x +c \right)\right)}{3}\right)+2 a b \left(-\frac{\cosh \left(d x +c \right)}{2 \sinh \left(d x +c \right)^{3}}-\frac{\left(\frac{2}{3}-\frac{\mathrm{csch}\left(d x +c \right)^{2}}{3}\right) \coth \left(d x +c \right)}{2}\right)+b^{2} \left(\frac{2}{3}-\frac{\mathrm{csch}\left(d x +c \right)^{2}}{3}\right) \coth \left(d x +c \right)}{d}"," ",0,"1/d*(a^2*(d*x+c-coth(d*x+c)-1/3*coth(d*x+c)^3)+2*a*b*(-1/2/sinh(d*x+c)^3*cosh(d*x+c)-1/2*(2/3-1/3*csch(d*x+c)^2)*coth(d*x+c))+b^2*(2/3-1/3*csch(d*x+c)^2)*coth(d*x+c))","B"
121,1,102,50,0.321000," ","int(coth(d*x+c)^5*(a+b*sech(d*x+c)^2)^2,x)","\frac{a^{2} \ln \left(\sinh \left(d x +c \right)\right)}{d}-\frac{a^{2} \left(\coth^{2}\left(d x +c \right)\right)}{2 d}-\frac{a^{2} \left(\coth^{4}\left(d x +c \right)\right)}{4 d}-\frac{a b \left(\cosh^{2}\left(d x +c \right)\right)}{d \sinh \left(d x +c \right)^{4}}+\frac{a b}{2 d \sinh \left(d x +c \right)^{4}}-\frac{b^{2}}{4 d \sinh \left(d x +c \right)^{4}}"," ",0,"a^2*ln(sinh(d*x+c))/d-1/2*a^2*coth(d*x+c)^2/d-1/4*a^2*coth(d*x+c)^4/d-1/d*a*b/sinh(d*x+c)^4*cosh(d*x+c)^2+1/2/d*a*b/sinh(d*x+c)^4-1/4/d/sinh(d*x+c)^4*b^2","B"
122,1,163,60,0.445000," ","int(coth(d*x+c)^6*(a+b*sech(d*x+c)^2)^2,x)","\frac{a^{2} \left(d x +c -\coth \left(d x +c \right)-\frac{\left(\coth^{3}\left(d x +c \right)\right)}{3}-\frac{\left(\coth^{5}\left(d x +c \right)\right)}{5}\right)+2 a b \left(-\frac{\cosh^{3}\left(d x +c \right)}{2 \sinh \left(d x +c \right)^{5}}+\frac{3 \cosh \left(d x +c \right)}{8 \sinh \left(d x +c \right)^{5}}+\frac{3 \left(-\frac{8}{15}-\frac{\mathrm{csch}\left(d x +c \right)^{4}}{5}+\frac{4 \mathrm{csch}\left(d x +c \right)^{2}}{15}\right) \coth \left(d x +c \right)}{8}\right)+b^{2} \left(-\frac{\cosh \left(d x +c \right)}{4 \sinh \left(d x +c \right)^{5}}-\frac{\left(-\frac{8}{15}-\frac{\mathrm{csch}\left(d x +c \right)^{4}}{5}+\frac{4 \mathrm{csch}\left(d x +c \right)^{2}}{15}\right) \coth \left(d x +c \right)}{4}\right)}{d}"," ",0,"1/d*(a^2*(d*x+c-coth(d*x+c)-1/3*coth(d*x+c)^3-1/5*coth(d*x+c)^5)+2*a*b*(-1/2/sinh(d*x+c)^5*cosh(d*x+c)^3+3/8/sinh(d*x+c)^5*cosh(d*x+c)+3/8*(-8/15-1/5*csch(d*x+c)^4+4/15*csch(d*x+c)^2)*coth(d*x+c))+b^2*(-1/4/sinh(d*x+c)^5*cosh(d*x+c)-1/4*(-8/15-1/5*csch(d*x+c)^4+4/15*csch(d*x+c)^2)*coth(d*x+c)))","B"
123,1,164,82,0.337000," ","int(coth(d*x+c)^7*(a+b*sech(d*x+c)^2)^2,x)","\frac{a^{2} \ln \left(\sinh \left(d x +c \right)\right)}{d}-\frac{a^{2} \left(\coth^{2}\left(d x +c \right)\right)}{2 d}-\frac{a^{2} \left(\coth^{4}\left(d x +c \right)\right)}{4 d}-\frac{a^{2} \left(\coth^{6}\left(d x +c \right)\right)}{6 d}-\frac{a b \left(\cosh^{4}\left(d x +c \right)\right)}{d \sinh \left(d x +c \right)^{6}}+\frac{a b \left(\cosh^{2}\left(d x +c \right)\right)}{d \sinh \left(d x +c \right)^{6}}-\frac{a b}{3 d \sinh \left(d x +c \right)^{6}}-\frac{b^{2} \left(\cosh^{2}\left(d x +c \right)\right)}{4 d \sinh \left(d x +c \right)^{6}}+\frac{b^{2}}{12 d \sinh \left(d x +c \right)^{6}}"," ",0,"a^2*ln(sinh(d*x+c))/d-1/2*a^2*coth(d*x+c)^2/d-1/4*a^2*coth(d*x+c)^4/d-1/6*a^2*coth(d*x+c)^6/d-1/d*a*b/sinh(d*x+c)^6*cosh(d*x+c)^4+1/d*a*b/sinh(d*x+c)^6*cosh(d*x+c)^2-1/3/d*a*b/sinh(d*x+c)^6-1/4/d*b^2/sinh(d*x+c)^6*cosh(d*x+c)^2+1/12/d*b^2/sinh(d*x+c)^6","A"
124,1,274,102,0.554000," ","int((a+b*sech(d*x+c)^2)^3*tanh(d*x+c)^4,x)","\frac{a^{3} \left(d x +c -\tanh \left(d x +c \right)-\frac{\left(\tanh^{3}\left(d x +c \right)\right)}{3}\right)+3 a^{2} b \left(-\frac{\sinh^{3}\left(d x +c \right)}{2 \cosh \left(d x +c \right)^{5}}-\frac{3 \sinh \left(d x +c \right)}{8 \cosh \left(d x +c \right)^{5}}+\frac{3 \left(\frac{8}{15}+\frac{\mathrm{sech}\left(d x +c \right)^{4}}{5}+\frac{4 \mathrm{sech}\left(d x +c \right)^{2}}{15}\right) \tanh \left(d x +c \right)}{8}\right)+3 a \,b^{2} \left(-\frac{\sinh^{3}\left(d x +c \right)}{4 \cosh \left(d x +c \right)^{7}}-\frac{\sinh \left(d x +c \right)}{8 \cosh \left(d x +c \right)^{7}}+\frac{\left(\frac{16}{35}+\frac{\mathrm{sech}\left(d x +c \right)^{6}}{7}+\frac{6 \mathrm{sech}\left(d x +c \right)^{4}}{35}+\frac{8 \mathrm{sech}\left(d x +c \right)^{2}}{35}\right) \tanh \left(d x +c \right)}{8}\right)+b^{3} \left(-\frac{\sinh^{3}\left(d x +c \right)}{6 \cosh \left(d x +c \right)^{9}}-\frac{\sinh \left(d x +c \right)}{16 \cosh \left(d x +c \right)^{9}}+\frac{\left(\frac{128}{315}+\frac{\mathrm{sech}\left(d x +c \right)^{8}}{9}+\frac{8 \mathrm{sech}\left(d x +c \right)^{6}}{63}+\frac{16 \mathrm{sech}\left(d x +c \right)^{4}}{105}+\frac{64 \mathrm{sech}\left(d x +c \right)^{2}}{315}\right) \tanh \left(d x +c \right)}{16}\right)}{d}"," ",0,"1/d*(a^3*(d*x+c-tanh(d*x+c)-1/3*tanh(d*x+c)^3)+3*a^2*b*(-1/2*sinh(d*x+c)^3/cosh(d*x+c)^5-3/8*sinh(d*x+c)/cosh(d*x+c)^5+3/8*(8/15+1/5*sech(d*x+c)^4+4/15*sech(d*x+c)^2)*tanh(d*x+c))+3*a*b^2*(-1/4*sinh(d*x+c)^3/cosh(d*x+c)^7-1/8*sinh(d*x+c)/cosh(d*x+c)^7+1/8*(16/35+1/7*sech(d*x+c)^6+6/35*sech(d*x+c)^4+8/35*sech(d*x+c)^2)*tanh(d*x+c))+b^3*(-1/6*sinh(d*x+c)^3/cosh(d*x+c)^9-1/16*sinh(d*x+c)/cosh(d*x+c)^9+1/16*(128/315+1/9*sech(d*x+c)^8+8/63*sech(d*x+c)^6+16/105*sech(d*x+c)^4+64/315*sech(d*x+c)^2)*tanh(d*x+c)))","B"
125,1,156,95,0.298000," ","int((a+b*sech(d*x+c)^2)^3*tanh(d*x+c)^3,x)","\frac{a^{3} \ln \left(\cosh \left(d x +c \right)\right)}{d}-\frac{\left(\tanh^{2}\left(d x +c \right)\right) a^{3}}{2 d}-\frac{3 a^{2} b \left(\sinh^{2}\left(d x +c \right)\right)}{2 d \cosh \left(d x +c \right)^{4}}-\frac{3 a^{2} b}{4 d \cosh \left(d x +c \right)^{4}}-\frac{3 a \,b^{2} \left(\sinh^{2}\left(d x +c \right)\right)}{4 d \cosh \left(d x +c \right)^{6}}-\frac{a \,b^{2}}{4 d \cosh \left(d x +c \right)^{6}}-\frac{b^{3} \left(\sinh^{2}\left(d x +c \right)\right)}{6 d \cosh \left(d x +c \right)^{8}}-\frac{b^{3}}{24 d \cosh \left(d x +c \right)^{8}}"," ",0,"a^3*ln(cosh(d*x+c))/d-1/2/d*tanh(d*x+c)^2*a^3-3/2/d*a^2*b*sinh(d*x+c)^2/cosh(d*x+c)^4-3/4/d*a^2*b/cosh(d*x+c)^4-3/4/d*a*b^2*sinh(d*x+c)^2/cosh(d*x+c)^6-1/4/d*a*b^2/cosh(d*x+c)^6-1/6/d*b^3*sinh(d*x+c)^2/cosh(d*x+c)^8-1/24/d*b^3/cosh(d*x+c)^8","A"
126,1,180,86,0.515000," ","int((a+b*sech(d*x+c)^2)^3*tanh(d*x+c)^2,x)","\frac{a^{3} \left(d x +c -\tanh \left(d x +c \right)\right)+3 a^{2} b \left(-\frac{\sinh \left(d x +c \right)}{2 \cosh \left(d x +c \right)^{3}}+\frac{\left(\frac{2}{3}+\frac{\mathrm{sech}\left(d x +c \right)^{2}}{3}\right) \tanh \left(d x +c \right)}{2}\right)+3 a \,b^{2} \left(-\frac{\sinh \left(d x +c \right)}{4 \cosh \left(d x +c \right)^{5}}+\frac{\left(\frac{8}{15}+\frac{\mathrm{sech}\left(d x +c \right)^{4}}{5}+\frac{4 \mathrm{sech}\left(d x +c \right)^{2}}{15}\right) \tanh \left(d x +c \right)}{4}\right)+b^{3} \left(-\frac{\sinh \left(d x +c \right)}{6 \cosh \left(d x +c \right)^{7}}+\frac{\left(\frac{16}{35}+\frac{\mathrm{sech}\left(d x +c \right)^{6}}{7}+\frac{6 \mathrm{sech}\left(d x +c \right)^{4}}{35}+\frac{8 \mathrm{sech}\left(d x +c \right)^{2}}{35}\right) \tanh \left(d x +c \right)}{6}\right)}{d}"," ",0,"1/d*(a^3*(d*x+c-tanh(d*x+c))+3*a^2*b*(-1/2*sinh(d*x+c)/cosh(d*x+c)^3+1/2*(2/3+1/3*sech(d*x+c)^2)*tanh(d*x+c))+3*a*b^2*(-1/4*sinh(d*x+c)/cosh(d*x+c)^5+1/4*(8/15+1/5*sech(d*x+c)^4+4/15*sech(d*x+c)^2)*tanh(d*x+c))+b^3*(-1/6*sinh(d*x+c)/cosh(d*x+c)^7+1/6*(16/35+1/7*sech(d*x+c)^6+6/35*sech(d*x+c)^4+8/35*sech(d*x+c)^2)*tanh(d*x+c)))","B"
127,1,67,65,0.161000," ","int((a+b*sech(d*x+c)^2)^3*tanh(d*x+c),x)","-\frac{b^{3} \mathrm{sech}\left(d x +c \right)^{6}}{6 d}-\frac{3 a \,b^{2} \mathrm{sech}\left(d x +c \right)^{4}}{4 d}-\frac{3 a^{2} b \mathrm{sech}\left(d x +c \right)^{2}}{2 d}-\frac{a^{3} \ln \left(\mathrm{sech}\left(d x +c \right)\right)}{d}"," ",0,"-1/6*b^3*sech(d*x+c)^6/d-3/4*a*b^2*sech(d*x+c)^4/d-3/2*a^2*b*sech(d*x+c)^2/d-1/d*a^3*ln(sech(d*x+c))","A"
128,1,83,69,0.420000," ","int((a+b*sech(d*x+c)^2)^3,x)","\frac{a^{3} \left(d x +c \right)+3 a^{2} b \tanh \left(d x +c \right)+3 a \,b^{2} \left(\frac{2}{3}+\frac{\mathrm{sech}\left(d x +c \right)^{2}}{3}\right) \tanh \left(d x +c \right)+b^{3} \left(\frac{8}{15}+\frac{\mathrm{sech}\left(d x +c \right)^{4}}{5}+\frac{4 \mathrm{sech}\left(d x +c \right)^{2}}{15}\right) \tanh \left(d x +c \right)}{d}"," ",0,"1/d*(a^3*(d*x+c)+3*a^2*b*tanh(d*x+c)+3*a*b^2*(2/3+1/3*sech(d*x+c)^2)*tanh(d*x+c)+b^3*(8/15+1/5*sech(d*x+c)^4+4/15*sech(d*x+c)^2)*tanh(d*x+c))","A"
129,1,111,80,0.308000," ","int(coth(d*x+c)*(a+b*sech(d*x+c)^2)^3,x)","\frac{a^{3} \ln \left(\sinh \left(d x +c \right)\right)}{d}+\frac{3 a^{2} b \ln \left(\tanh \left(d x +c \right)\right)}{d}+\frac{3 a \,b^{2}}{2 d \cosh \left(d x +c \right)^{2}}+\frac{3 a \,b^{2} \ln \left(\tanh \left(d x +c \right)\right)}{d}+\frac{b^{3}}{4 d \cosh \left(d x +c \right)^{4}}+\frac{b^{3}}{2 d \cosh \left(d x +c \right)^{2}}+\frac{b^{3} \ln \left(\tanh \left(d x +c \right)\right)}{d}"," ",0,"a^3*ln(sinh(d*x+c))/d+3*a^2*b*ln(tanh(d*x+c))/d+3/2/d*a*b^2/cosh(d*x+c)^2+3/d*a*b^2*ln(tanh(d*x+c))+1/4/d*b^3/cosh(d*x+c)^4+1/2/d*b^3/cosh(d*x+c)^2+1/d*b^3*ln(tanh(d*x+c))","A"
130,1,111,59,0.573000," ","int(coth(d*x+c)^2*(a+b*sech(d*x+c)^2)^3,x)","\frac{a^{3} \left(d x +c -\coth \left(d x +c \right)\right)-3 a^{2} b \coth \left(d x +c \right)+3 a \,b^{2} \left(-\frac{1}{\sinh \left(d x +c \right) \cosh \left(d x +c \right)}-2 \tanh \left(d x +c \right)\right)+b^{3} \left(-\frac{1}{\sinh \left(d x +c \right) \cosh \left(d x +c \right)^{3}}-4 \left(\frac{2}{3}+\frac{\mathrm{sech}\left(d x +c \right)^{2}}{3}\right) \tanh \left(d x +c \right)\right)}{d}"," ",0,"1/d*(a^3*(d*x+c-coth(d*x+c))-3*a^2*b*coth(d*x+c)+3*a*b^2*(-1/sinh(d*x+c)/cosh(d*x+c)-2*tanh(d*x+c))+b^3*(-1/sinh(d*x+c)/cosh(d*x+c)^3-4*(2/3+1/3*sech(d*x+c)^2)*tanh(d*x+c)))","A"
131,1,137,77,0.359000," ","int(coth(d*x+c)^3*(a+b*sech(d*x+c)^2)^3,x)","\frac{a^{3} \ln \left(\sinh \left(d x +c \right)\right)}{d}-\frac{a^{3} \left(\coth^{2}\left(d x +c \right)\right)}{2 d}-\frac{3 a^{2} b}{2 d \sinh \left(d x +c \right)^{2}}-\frac{3 a \,b^{2}}{2 d \sinh \left(d x +c \right)^{2}}-\frac{3 a \,b^{2} \ln \left(\tanh \left(d x +c \right)\right)}{d}-\frac{b^{3}}{2 d \sinh \left(d x +c \right)^{2} \cosh \left(d x +c \right)^{2}}-\frac{b^{3}}{d \cosh \left(d x +c \right)^{2}}-\frac{2 b^{3} \ln \left(\tanh \left(d x +c \right)\right)}{d}"," ",0,"a^3*ln(sinh(d*x+c))/d-1/2*a^3*coth(d*x+c)^2/d-3/2/d/sinh(d*x+c)^2*a^2*b-3/2/d*a*b^2/sinh(d*x+c)^2-3/d*a*b^2*ln(tanh(d*x+c))-1/2/d*b^3/sinh(d*x+c)^2/cosh(d*x+c)^2-1/d*b^3/cosh(d*x+c)^2-2/d*b^3*ln(tanh(d*x+c))","A"
132,1,149,58,0.483000," ","int(coth(d*x+c)^4*(a+b*sech(d*x+c)^2)^3,x)","\frac{a^{3} \left(d x +c -\coth \left(d x +c \right)-\frac{\left(\coth^{3}\left(d x +c \right)\right)}{3}\right)+3 a^{2} b \left(-\frac{\cosh \left(d x +c \right)}{2 \sinh \left(d x +c \right)^{3}}-\frac{\left(\frac{2}{3}-\frac{\mathrm{csch}\left(d x +c \right)^{2}}{3}\right) \coth \left(d x +c \right)}{2}\right)+3 a \,b^{2} \left(\frac{2}{3}-\frac{\mathrm{csch}\left(d x +c \right)^{2}}{3}\right) \coth \left(d x +c \right)+b^{3} \left(-\frac{1}{3 \sinh \left(d x +c \right)^{3} \cosh \left(d x +c \right)}+\frac{4}{3 \sinh \left(d x +c \right) \cosh \left(d x +c \right)}+\frac{8 \tanh \left(d x +c \right)}{3}\right)}{d}"," ",0,"1/d*(a^3*(d*x+c-coth(d*x+c)-1/3*coth(d*x+c)^3)+3*a^2*b*(-1/2/sinh(d*x+c)^3*cosh(d*x+c)-1/2*(2/3-1/3*csch(d*x+c)^2)*coth(d*x+c))+3*a*b^2*(2/3-1/3*csch(d*x+c)^2)*coth(d*x+c)+b^3*(-1/3/sinh(d*x+c)^3/cosh(d*x+c)+4/3/sinh(d*x+c)/cosh(d*x+c)+8/3*tanh(d*x+c)))","B"
133,1,153,77,0.318000," ","int(coth(d*x+c)^5*(a+b*sech(d*x+c)^2)^3,x)","\frac{a^{3} \ln \left(\sinh \left(d x +c \right)\right)}{d}-\frac{a^{3} \left(\coth^{2}\left(d x +c \right)\right)}{2 d}-\frac{a^{3} \left(\coth^{4}\left(d x +c \right)\right)}{4 d}-\frac{3 a^{2} b \left(\cosh^{2}\left(d x +c \right)\right)}{2 d \sinh \left(d x +c \right)^{4}}+\frac{3 a^{2} b}{4 d \sinh \left(d x +c \right)^{4}}-\frac{3 a \,b^{2}}{4 d \sinh \left(d x +c \right)^{4}}-\frac{b^{3}}{4 d \sinh \left(d x +c \right)^{4}}+\frac{b^{3}}{2 d \sinh \left(d x +c \right)^{2}}+\frac{b^{3} \ln \left(\tanh \left(d x +c \right)\right)}{d}"," ",0,"a^3*ln(sinh(d*x+c))/d-1/2*a^3*coth(d*x+c)^2/d-1/4*a^3*coth(d*x+c)^4/d-3/2/d*a^2*b/sinh(d*x+c)^4*cosh(d*x+c)^2+3/4/d*a^2*b/sinh(d*x+c)^4-3/4/d/sinh(d*x+c)^4*a*b^2-1/4/d*b^3/sinh(d*x+c)^4+1/2/d*b^3/sinh(d*x+c)^2+1/d*b^3*ln(tanh(d*x+c))","A"
134,1,199,65,0.425000," ","int(coth(d*x+c)^6*(a+b*sech(d*x+c)^2)^3,x)","\frac{a^{3} \left(d x +c -\coth \left(d x +c \right)-\frac{\left(\coth^{3}\left(d x +c \right)\right)}{3}-\frac{\left(\coth^{5}\left(d x +c \right)\right)}{5}\right)+3 a^{2} b \left(-\frac{\cosh^{3}\left(d x +c \right)}{2 \sinh \left(d x +c \right)^{5}}+\frac{3 \cosh \left(d x +c \right)}{8 \sinh \left(d x +c \right)^{5}}+\frac{3 \left(-\frac{8}{15}-\frac{\mathrm{csch}\left(d x +c \right)^{4}}{5}+\frac{4 \mathrm{csch}\left(d x +c \right)^{2}}{15}\right) \coth \left(d x +c \right)}{8}\right)+3 a \,b^{2} \left(-\frac{\cosh \left(d x +c \right)}{4 \sinh \left(d x +c \right)^{5}}-\frac{\left(-\frac{8}{15}-\frac{\mathrm{csch}\left(d x +c \right)^{4}}{5}+\frac{4 \mathrm{csch}\left(d x +c \right)^{2}}{15}\right) \coth \left(d x +c \right)}{4}\right)+b^{3} \left(-\frac{8}{15}-\frac{\mathrm{csch}\left(d x +c \right)^{4}}{5}+\frac{4 \mathrm{csch}\left(d x +c \right)^{2}}{15}\right) \coth \left(d x +c \right)}{d}"," ",0,"1/d*(a^3*(d*x+c-coth(d*x+c)-1/3*coth(d*x+c)^3-1/5*coth(d*x+c)^5)+3*a^2*b*(-1/2/sinh(d*x+c)^5*cosh(d*x+c)^3+3/8/sinh(d*x+c)^5*cosh(d*x+c)+3/8*(-8/15-1/5*csch(d*x+c)^4+4/15*csch(d*x+c)^2)*coth(d*x+c))+3*a*b^2*(-1/4/sinh(d*x+c)^5*cosh(d*x+c)-1/4*(-8/15-1/5*csch(d*x+c)^4+4/15*csch(d*x+c)^2)*coth(d*x+c))+b^3*(-8/15-1/5*csch(d*x+c)^4+4/15*csch(d*x+c)^2)*coth(d*x+c))","B"
135,1,189,71,0.363000," ","int(coth(d*x+c)^7*(a+b*sech(d*x+c)^2)^3,x)","\frac{a^{3} \ln \left(\sinh \left(d x +c \right)\right)}{d}-\frac{a^{3} \left(\coth^{2}\left(d x +c \right)\right)}{2 d}-\frac{a^{3} \left(\coth^{4}\left(d x +c \right)\right)}{4 d}-\frac{a^{3} \left(\coth^{6}\left(d x +c \right)\right)}{6 d}-\frac{3 a^{2} b \left(\cosh^{4}\left(d x +c \right)\right)}{2 d \sinh \left(d x +c \right)^{6}}+\frac{3 a^{2} b \left(\cosh^{2}\left(d x +c \right)\right)}{2 d \sinh \left(d x +c \right)^{6}}-\frac{a^{2} b}{2 d \sinh \left(d x +c \right)^{6}}-\frac{3 a \,b^{2} \left(\cosh^{2}\left(d x +c \right)\right)}{4 d \sinh \left(d x +c \right)^{6}}+\frac{a \,b^{2}}{4 d \sinh \left(d x +c \right)^{6}}-\frac{b^{3}}{6 d \sinh \left(d x +c \right)^{6}}"," ",0,"a^3*ln(sinh(d*x+c))/d-1/2*a^3*coth(d*x+c)^2/d-1/4*a^3*coth(d*x+c)^4/d-1/6*a^3*coth(d*x+c)^6/d-3/2/d*a^2*b/sinh(d*x+c)^6*cosh(d*x+c)^4+3/2/d*a^2*b/sinh(d*x+c)^6*cosh(d*x+c)^2-1/2/d*a^2*b/sinh(d*x+c)^6-3/4/d*a*b^2/sinh(d*x+c)^6*cosh(d*x+c)^2+1/4/d*a*b^2/sinh(d*x+c)^6-1/6/d/sinh(d*x+c)^6*b^3","B"
136,1,129,105,0.525000," ","int((a+b*sech(d*x+c)^2)^4,x)","\frac{a^{4} \left(d x +c \right)+4 a^{3} b \tanh \left(d x +c \right)+6 a^{2} b^{2} \left(\frac{2}{3}+\frac{\mathrm{sech}\left(d x +c \right)^{2}}{3}\right) \tanh \left(d x +c \right)+4 a \,b^{3} \left(\frac{8}{15}+\frac{\mathrm{sech}\left(d x +c \right)^{4}}{5}+\frac{4 \mathrm{sech}\left(d x +c \right)^{2}}{15}\right) \tanh \left(d x +c \right)+b^{4} \left(\frac{16}{35}+\frac{\mathrm{sech}\left(d x +c \right)^{6}}{7}+\frac{6 \mathrm{sech}\left(d x +c \right)^{4}}{35}+\frac{8 \mathrm{sech}\left(d x +c \right)^{2}}{35}\right) \tanh \left(d x +c \right)}{d}"," ",0,"1/d*(a^4*(d*x+c)+4*a^3*b*tanh(d*x+c)+6*a^2*b^2*(2/3+1/3*sech(d*x+c)^2)*tanh(d*x+c)+4*a*b^3*(8/15+1/5*sech(d*x+c)^4+4/15*sech(d*x+c)^2)*tanh(d*x+c)+b^4*(16/35+1/7*sech(d*x+c)^6+6/35*sech(d*x+c)^4+8/35*sech(d*x+c)^2)*tanh(d*x+c))","A"
137,1,185,155,0.606000," ","int((a+b*sech(d*x+c)^2)^5,x)","\frac{a^{5} \left(d x +c \right)+5 a^{4} b \tanh \left(d x +c \right)+10 a^{3} b^{2} \left(\frac{2}{3}+\frac{\mathrm{sech}\left(d x +c \right)^{2}}{3}\right) \tanh \left(d x +c \right)+10 a^{2} b^{3} \left(\frac{8}{15}+\frac{\mathrm{sech}\left(d x +c \right)^{4}}{5}+\frac{4 \mathrm{sech}\left(d x +c \right)^{2}}{15}\right) \tanh \left(d x +c \right)+5 a \,b^{4} \left(\frac{16}{35}+\frac{\mathrm{sech}\left(d x +c \right)^{6}}{7}+\frac{6 \mathrm{sech}\left(d x +c \right)^{4}}{35}+\frac{8 \mathrm{sech}\left(d x +c \right)^{2}}{35}\right) \tanh \left(d x +c \right)+b^{5} \left(\frac{128}{315}+\frac{\mathrm{sech}\left(d x +c \right)^{8}}{9}+\frac{8 \mathrm{sech}\left(d x +c \right)^{6}}{63}+\frac{16 \mathrm{sech}\left(d x +c \right)^{4}}{105}+\frac{64 \mathrm{sech}\left(d x +c \right)^{2}}{315}\right) \tanh \left(d x +c \right)}{d}"," ",0,"1/d*(a^5*(d*x+c)+5*a^4*b*tanh(d*x+c)+10*a^3*b^2*(2/3+1/3*sech(d*x+c)^2)*tanh(d*x+c)+10*a^2*b^3*(8/15+1/5*sech(d*x+c)^4+4/15*sech(d*x+c)^2)*tanh(d*x+c)+5*a*b^4*(16/35+1/7*sech(d*x+c)^6+6/35*sech(d*x+c)^4+8/35*sech(d*x+c)^2)*tanh(d*x+c)+b^5*(128/315+1/9*sech(d*x+c)^8+8/63*sech(d*x+c)^6+16/105*sech(d*x+c)^4+64/315*sech(d*x+c)^2)*tanh(d*x+c))","A"
138,1,331,66,0.316000," ","int(tanh(d*x+c)^5/(a+b*sech(d*x+c)^2),x)","-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d a}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d a}+\frac{a \ln \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}{2 d \,b^{2}}+\frac{\ln \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}{d b}+\frac{\ln \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}{2 d a}+\frac{2}{d b \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{\ln \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right) a}{d \,b^{2}}-\frac{2 \ln \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d b}-\frac{2}{d b \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}"," ",0,"-1/d/a*ln(tanh(1/2*d*x+1/2*c)-1)-1/d/a*ln(tanh(1/2*d*x+1/2*c)+1)+1/2/d*a/b^2*ln(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)+1/d/b*ln(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)+1/2/d/a*ln(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)+2/d/b/(tanh(1/2*d*x+1/2*c)^2+1)-1/d/b^2*ln(tanh(1/2*d*x+1/2*c)^2+1)*a-2/d/b*ln(tanh(1/2*d*x+1/2*c)^2+1)-2/d/b/(tanh(1/2*d*x+1/2*c)^2+1)^2","B"
139,1,386,51,0.349000," ","int(tanh(d*x+c)^4/(a+b*sech(d*x+c)^2),x)","-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d a}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d a}+\frac{a \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d \,b^{\frac{3}{2}} \sqrt{a +b}}+\frac{\ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{d \sqrt{b}\, \sqrt{a +b}}+\frac{\sqrt{b}\, \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d a \sqrt{a +b}}-\frac{a \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d \,b^{\frac{3}{2}} \sqrt{a +b}}-\frac{\ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{d \sqrt{b}\, \sqrt{a +b}}-\frac{\sqrt{b}\, \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d a \sqrt{a +b}}+\frac{2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d b \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}"," ",0,"-1/d/a*ln(tanh(1/2*d*x+1/2*c)-1)+1/d/a*ln(tanh(1/2*d*x+1/2*c)+1)+1/2/d*a/b^(3/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2-2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))+1/d/b^(1/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2-2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))+1/2/d/a*b^(1/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2-2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-1/2/d*a/b^(3/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-1/d/b^(1/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-1/2/d/a*b^(1/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))+2/d/b*tanh(1/2*d*x+1/2*c)/(tanh(1/2*d*x+1/2*c)^2+1)","B"
140,1,196,43,0.333000," ","int(tanh(d*x+c)^3/(a+b*sech(d*x+c)^2),x)","-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d a}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d a}+\frac{\ln \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}{2 d b}+\frac{\ln \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}{2 d a}-\frac{\ln \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d b}"," ",0,"-1/d/a*ln(tanh(1/2*d*x+1/2*c)-1)-1/d/a*ln(tanh(1/2*d*x+1/2*c)+1)+1/2/d/b*ln(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)+1/2/d/a*ln(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)-1/d/b*ln(tanh(1/2*d*x+1/2*c)^2+1)","B"
141,1,251,38,0.358000," ","int(tanh(d*x+c)^2/(a+b*sech(d*x+c)^2),x)","-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d a}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d a}+\frac{\ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d \sqrt{b}\, \sqrt{a +b}}-\frac{\ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d \sqrt{b}\, \sqrt{a +b}}+\frac{\sqrt{b}\, \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d a \sqrt{a +b}}-\frac{\sqrt{b}\, \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d a \sqrt{a +b}}"," ",0,"-1/d/a*ln(tanh(1/2*d*x+1/2*c)-1)+1/d/a*ln(tanh(1/2*d*x+1/2*c)+1)+1/2/d/b^(1/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2-2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-1/2/d/b^(1/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))+1/2/d/a*b^(1/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2-2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-1/2/d/a*b^(1/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))","B"
142,1,38,21,0.146000," ","int(tanh(d*x+c)/(a+b*sech(d*x+c)^2),x)","\frac{\ln \left(a +b \mathrm{sech}\left(d x +c \right)^{2}\right)}{2 d a}-\frac{\ln \left(\mathrm{sech}\left(d x +c \right)\right)}{d a}"," ",0,"1/2/d/a*ln(a+b*sech(d*x+c)^2)-1/d/a*ln(sech(d*x+c))","A"
143,1,149,38,0.277000," ","int(1/(a+b*sech(d*x+c)^2),x)","-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d a}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d a}+\frac{\sqrt{b}\, \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d a \sqrt{a +b}}-\frac{\sqrt{b}\, \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d a \sqrt{a +b}}"," ",0,"-1/d/a*ln(tanh(1/2*d*x+1/2*c)-1)+1/d/a*ln(tanh(1/2*d*x+1/2*c)+1)+1/2/d/a*b^(1/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2-2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-1/2/d/a*b^(1/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))","B"
144,1,133,44,0.375000," ","int(coth(d*x+c)/(a+b*sech(d*x+c)^2),x)","-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d a}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d a}+\frac{b \ln \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}{2 d a \left(a +b \right)}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(a +b \right)}"," ",0,"-1/d/a*ln(tanh(1/2*d*x+1/2*c)-1)-1/d/a*ln(tanh(1/2*d*x+1/2*c)+1)+1/2/d*b/a/(a+b)*ln(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)+1/d/(a+b)*ln(tanh(1/2*d*x+1/2*c))","B"
145,1,189,54,0.457000," ","int(coth(d*x+c)^2/(a+b*sech(d*x+c)^2),x)","-\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{2 d \left(a +b \right)}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d a}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d a}-\frac{1}{2 d \left(a +b \right) \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}+\frac{b^{\frac{3}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d a \left(a +b \right)^{\frac{3}{2}}}-\frac{b^{\frac{3}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d a \left(a +b \right)^{\frac{3}{2}}}"," ",0,"-1/2/d/(a+b)*tanh(1/2*d*x+1/2*c)-1/d/a*ln(tanh(1/2*d*x+1/2*c)-1)+1/d/a*ln(tanh(1/2*d*x+1/2*c)+1)-1/2/d/(a+b)/tanh(1/2*d*x+1/2*c)+1/2/d*b^(3/2)/a/(a+b)^(3/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2-2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-1/2/d*b^(3/2)/a/(a+b)^(3/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))","B"
146,1,199,69,0.476000," ","int(coth(d*x+c)^3/(a+b*sech(d*x+c)^2),x)","-\frac{\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)}{8 d \left(a +b \right)}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d a}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d a}+\frac{b^{2} \ln \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}{2 d a \left(a +b \right)^{2}}-\frac{1}{8 d \left(a +b \right) \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)^{2}}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right) a}{d \left(a +b \right)^{2}}+\frac{2 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{d \left(a +b \right)^{2}}"," ",0,"-1/8/d*tanh(1/2*d*x+1/2*c)^2/(a+b)-1/d/a*ln(tanh(1/2*d*x+1/2*c)-1)-1/d/a*ln(tanh(1/2*d*x+1/2*c)+1)+1/2/d*b^2/a/(a+b)^2*ln(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)-1/8/d/(a+b)/tanh(1/2*d*x+1/2*c)^2+1/d/(a+b)^2*ln(tanh(1/2*d*x+1/2*c))*a+2/d/(a+b)^2*ln(tanh(1/2*d*x+1/2*c))*b","B"
147,1,298,77,0.493000," ","int(coth(d*x+c)^4/(a+b*sech(d*x+c)^2),x)","-\frac{a \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{24 d \left(a +b \right)^{2}}-\frac{\left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{24 d \left(a +b \right)^{2}}-\frac{5 a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{8 d \left(a +b \right)^{2}}-\frac{9 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b}{8 d \left(a +b \right)^{2}}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d a}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d a}+\frac{b^{\frac{5}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d a \left(a +b \right)^{\frac{5}{2}}}-\frac{b^{\frac{5}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d a \left(a +b \right)^{\frac{5}{2}}}-\frac{1}{24 d \left(a +b \right) \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)^{3}}-\frac{5 a}{8 d \left(a +b \right)^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}-\frac{9 b}{8 d \left(a +b \right)^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}"," ",0,"-1/24/d/(a+b)^2*a*tanh(1/2*d*x+1/2*c)^3-1/24/d/(a+b)^2*tanh(1/2*d*x+1/2*c)^3*b-5/8/d/(a+b)^2*a*tanh(1/2*d*x+1/2*c)-9/8/d/(a+b)^2*tanh(1/2*d*x+1/2*c)*b-1/d/a*ln(tanh(1/2*d*x+1/2*c)-1)+1/d/a*ln(tanh(1/2*d*x+1/2*c)+1)+1/2/d*b^(5/2)/a/(a+b)^(5/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2-2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-1/2/d*b^(5/2)/a/(a+b)^(5/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-1/24/d/(a+b)/tanh(1/2*d*x+1/2*c)^3-5/8/d/(a+b)^2/tanh(1/2*d*x+1/2*c)*a-9/8/d/(a+b)^2/tanh(1/2*d*x+1/2*c)*b","B"
148,1,351,72,0.372000," ","int(tanh(d*x+c)^5/(a+b*sech(d*x+c)^2)^2,x)","-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,a^{2}}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,a^{2}}-\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d b \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}-\frac{\ln \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}{2 d \,b^{2}}-\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d a \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}+\frac{\ln \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}{2 d \,a^{2}}+\frac{\ln \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,b^{2}}"," ",0,"-1/d/a^2*ln(tanh(1/2*d*x+1/2*c)-1)-1/d/a^2*ln(tanh(1/2*d*x+1/2*c)+1)-2/d/b*tanh(1/2*d*x+1/2*c)^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)-1/2/d/b^2*ln(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)-2/d/a*tanh(1/2*d*x+1/2*c)^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)+1/2/d/a^2*ln(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)+1/d/b^2*ln(tanh(1/2*d*x+1/2*c)^2+1)","B"
149,1,676,79,0.402000," ","int(tanh(d*x+c)^4/(a+b*sech(d*x+c)^2)^2,x)","-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,a^{2}}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,a^{2}}-\frac{\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right) b}-\frac{\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)}{d a \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}-\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right) b}-\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d a \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}-\frac{\ln \left(-\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\sqrt{a +b}\right)}{4 d \,b^{\frac{3}{2}} \sqrt{a +b}}+\frac{\ln \left(-\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\sqrt{a +b}\right)}{4 d a \sqrt{b}\, \sqrt{a +b}}+\frac{\sqrt{b}\, \ln \left(-\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\sqrt{a +b}\right)}{2 d \,a^{2} \sqrt{a +b}}+\frac{\ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{4 d \,b^{\frac{3}{2}} \sqrt{a +b}}-\frac{\ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{4 d a \sqrt{b}\, \sqrt{a +b}}-\frac{\sqrt{b}\, \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d \,a^{2} \sqrt{a +b}}"," ",0,"-1/d/a^2*ln(tanh(1/2*d*x+1/2*c)-1)+1/d/a^2*ln(tanh(1/2*d*x+1/2*c)+1)-1/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)/b*tanh(1/2*d*x+1/2*c)^3-1/d/a/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)*tanh(1/2*d*x+1/2*c)^3-1/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)/b*tanh(1/2*d*x+1/2*c)-1/d/a/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)*tanh(1/2*d*x+1/2*c)-1/4/d/b^(3/2)/(a+b)^(1/2)*ln(-(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)-(a+b)^(1/2))+1/4/d/a/b^(1/2)/(a+b)^(1/2)*ln(-(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)-(a+b)^(1/2))+1/2/d/a^2*b^(1/2)/(a+b)^(1/2)*ln(-(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)-(a+b)^(1/2))+1/4/d/b^(3/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-1/4/d/a/b^(1/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-1/2/d/a^2*b^(1/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))","B"
150,1,186,47,0.351000," ","int(tanh(d*x+c)^3/(a+b*sech(d*x+c)^2)^2,x)","-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,a^{2}}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,a^{2}}-\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d a \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}+\frac{\ln \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}{2 d \,a^{2}}"," ",0,"-1/d/a^2*ln(tanh(1/2*d*x+1/2*c)-1)-1/d/a^2*ln(tanh(1/2*d*x+1/2*c)+1)-2/d/a*tanh(1/2*d*x+1/2*c)^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)+1/2/d/a^2*ln(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)","B"
151,1,411,73,0.351000," ","int(tanh(d*x+c)^2/(a+b*sech(d*x+c)^2)^2,x)","-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,a^{2}}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,a^{2}}-\frac{\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)}{d a \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}-\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d a \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}+\frac{\ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{4 d a \sqrt{b}\, \sqrt{a +b}}-\frac{\ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{4 d a \sqrt{b}\, \sqrt{a +b}}+\frac{\sqrt{b}\, \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d \,a^{2} \sqrt{a +b}}-\frac{\sqrt{b}\, \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d \,a^{2} \sqrt{a +b}}"," ",0,"-1/d/a^2*ln(tanh(1/2*d*x+1/2*c)-1)+1/d/a^2*ln(tanh(1/2*d*x+1/2*c)+1)-1/d/a/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)*tanh(1/2*d*x+1/2*c)^3-1/d/a/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)*tanh(1/2*d*x+1/2*c)+1/4/d/a/b^(1/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2-2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-1/4/d/a/b^(1/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))+1/2/d/a^2*b^(1/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2-2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-1/2/d/a^2*b^(1/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))","B"
152,1,60,45,0.185000," ","int(tanh(d*x+c)/(a+b*sech(d*x+c)^2)^2,x)","\frac{\ln \left(a +b \mathrm{sech}\left(d x +c \right)^{2}\right)}{2 d \,a^{2}}-\frac{1}{2 d a \left(a +b \mathrm{sech}\left(d x +c \right)^{2}\right)}-\frac{\ln \left(\mathrm{sech}\left(d x +c \right)\right)}{d \,a^{2}}"," ",0,"1/2/d/a^2*ln(a+b*sech(d*x+c)^2)-1/2/d/a/(a+b*sech(d*x+c)^2)-1/d/a^2*ln(sech(d*x+c))","A"
153,1,423,81,0.382000," ","int(1/(a+b*sech(d*x+c)^2)^2,x)","-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,a^{2}}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,a^{2}}-\frac{b \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right) a \left(a +b \right)}-\frac{b \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d a \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right) \left(a +b \right)}+\frac{3 \sqrt{b}\, \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{4 d a \left(a +b \right)^{\frac{3}{2}}}-\frac{3 \sqrt{b}\, \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{4 d a \left(a +b \right)^{\frac{3}{2}}}+\frac{b^{\frac{3}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d \,a^{2} \left(a +b \right)^{\frac{3}{2}}}-\frac{b^{\frac{3}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d \,a^{2} \left(a +b \right)^{\frac{3}{2}}}"," ",0,"-1/d/a^2*ln(tanh(1/2*d*x+1/2*c)-1)+1/d/a^2*ln(tanh(1/2*d*x+1/2*c)+1)-1/d/a*b/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)/(a+b)*tanh(1/2*d*x+1/2*c)^3-1/d/a*b/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)/(a+b)*tanh(1/2*d*x+1/2*c)+3/4/d/a*b^(1/2)/(a+b)^(3/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2-2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-3/4/d/a*b^(1/2)/(a+b)^(3/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))+1/2/d/a^2*b^(3/2)/(a+b)^(3/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2-2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-1/2/d/a^2*b^(3/2)/(a+b)^(3/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))","B"
154,1,292,79,0.423000," ","int(coth(d*x+c)/(a+b*sech(d*x+c)^2)^2,x)","-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,a^{2}}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,a^{2}}-\frac{2 b^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d a \left(a +b \right)^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}+\frac{b \ln \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}{d a \left(a +b \right)^{2}}+\frac{b^{2} \ln \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}{2 d \,a^{2} \left(a +b \right)^{2}}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(a +b \right)^{2}}"," ",0,"-1/d/a^2*ln(tanh(1/2*d*x+1/2*c)-1)-1/d/a^2*ln(tanh(1/2*d*x+1/2*c)+1)-2/d*b^2/a/(a+b)^2*tanh(1/2*d*x+1/2*c)^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)+1/d*b/a/(a+b)^2*ln(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)+1/2/d*b^2/a^2/(a+b)^2*ln(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)+1/d/(a+b)^2*ln(tanh(1/2*d*x+1/2*c))","B"
155,1,481,107,0.457000," ","int(coth(d*x+c)^2/(a+b*sech(d*x+c)^2)^2,x)","-\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{2 d \left(a^{2}+2 a b +b^{2}\right)}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,a^{2}}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,a^{2}}-\frac{b^{2} \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d a \left(a +b \right)^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}-\frac{b^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d a \left(a +b \right)^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}+\frac{5 b^{\frac{3}{2}} \ln \left(-\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\sqrt{a +b}\right)}{4 d a \left(a +b \right)^{\frac{5}{2}}}-\frac{5 b^{\frac{3}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{4 d a \left(a +b \right)^{\frac{5}{2}}}+\frac{b^{\frac{5}{2}} \ln \left(-\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\sqrt{a +b}\right)}{2 d \,a^{2} \left(a +b \right)^{\frac{5}{2}}}-\frac{b^{\frac{5}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d \,a^{2} \left(a +b \right)^{\frac{5}{2}}}-\frac{1}{2 d \left(a +b \right)^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}"," ",0,"-1/2/d/(a^2+2*a*b+b^2)*tanh(1/2*d*x+1/2*c)-1/d/a^2*ln(tanh(1/2*d*x+1/2*c)-1)+1/d/a^2*ln(tanh(1/2*d*x+1/2*c)+1)-1/d*b^2/a/(a+b)^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)*tanh(1/2*d*x+1/2*c)^3-1/d*b^2/a/(a+b)^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)*tanh(1/2*d*x+1/2*c)+5/4/d*b^(3/2)/a/(a+b)^(5/2)*ln(-(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)-(a+b)^(1/2))-5/4/d*b^(3/2)/a/(a+b)^(5/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))+1/2/d*b^(5/2)/a^2/(a+b)^(5/2)*ln(-(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)-(a+b)^(1/2))-1/2/d*b^(5/2)/a^2/(a+b)^(5/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-1/2/d/(a+b)^2/tanh(1/2*d*x+1/2*c)","B"
156,1,367,104,0.530000," ","int(coth(d*x+c)^3/(a+b*sech(d*x+c)^2)^2,x)","-\frac{\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)}{8 d \left(a^{2}+2 a b +b^{2}\right)}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,a^{2}}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,a^{2}}-\frac{2 b^{3} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d a \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}+\frac{3 b^{2} \ln \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}{2 d a \left(a +b \right)^{3}}+\frac{b^{3} \ln \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}{2 d \,a^{2} \left(a +b \right)^{3}}-\frac{1}{8 d \left(a +b \right)^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)^{2}}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right) a}{d \left(a +b \right)^{3}}+\frac{3 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{d \left(a +b \right)^{3}}"," ",0,"-1/8/d*tanh(1/2*d*x+1/2*c)^2/(a^2+2*a*b+b^2)-1/d/a^2*ln(tanh(1/2*d*x+1/2*c)-1)-1/d/a^2*ln(tanh(1/2*d*x+1/2*c)+1)-2/d*b^3/a/(a+b)^3*tanh(1/2*d*x+1/2*c)^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)+3/2/d*b^2/a/(a+b)^3*ln(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)+1/2/d*b^3/a^2/(a+b)^3*ln(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)-1/8/d/(a+b)^2/tanh(1/2*d*x+1/2*c)^2+1/d/(a+b)^3*ln(tanh(1/2*d*x+1/2*c))*a+3/d/(a+b)^3*ln(tanh(1/2*d*x+1/2*c))*b","B"
157,1,634,145,0.520000," ","int(coth(d*x+c)^4/(a+b*sech(d*x+c)^2)^2,x)","-\frac{a \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{24 d \left(a^{2}+2 a b +b^{2}\right) \left(a +b \right)}-\frac{\left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{24 d \left(a^{2}+2 a b +b^{2}\right) \left(a +b \right)}-\frac{5 a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{8 d \left(a^{2}+2 a b +b^{2}\right) \left(a +b \right)}-\frac{13 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b}{8 d \left(a^{2}+2 a b +b^{2}\right) \left(a +b \right)}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,a^{2}}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,a^{2}}-\frac{b^{3} \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d a \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}-\frac{b^{3} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d a \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}+\frac{7 b^{\frac{5}{2}} \ln \left(-\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\sqrt{a +b}\right)}{4 d a \left(a +b \right)^{\frac{7}{2}}}-\frac{7 b^{\frac{5}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{4 d a \left(a +b \right)^{\frac{7}{2}}}+\frac{b^{\frac{7}{2}} \ln \left(-\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\sqrt{a +b}\right)}{2 d \,a^{2} \left(a +b \right)^{\frac{7}{2}}}-\frac{b^{\frac{7}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d \,a^{2} \left(a +b \right)^{\frac{7}{2}}}-\frac{1}{24 d \left(a +b \right)^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)^{3}}-\frac{5 a}{8 d \left(a +b \right)^{3} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}-\frac{13 b}{8 d \left(a +b \right)^{3} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}"," ",0,"-1/24/d/(a^2+2*a*b+b^2)/(a+b)*a*tanh(1/2*d*x+1/2*c)^3-1/24/d/(a^2+2*a*b+b^2)/(a+b)*tanh(1/2*d*x+1/2*c)^3*b-5/8/d/(a^2+2*a*b+b^2)/(a+b)*a*tanh(1/2*d*x+1/2*c)-13/8/d/(a^2+2*a*b+b^2)/(a+b)*tanh(1/2*d*x+1/2*c)*b-1/d/a^2*ln(tanh(1/2*d*x+1/2*c)-1)+1/d/a^2*ln(tanh(1/2*d*x+1/2*c)+1)-1/d*b^3/a/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)*tanh(1/2*d*x+1/2*c)^3-1/d*b^3/a/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)*tanh(1/2*d*x+1/2*c)+7/4/d*b^(5/2)/a/(a+b)^(7/2)*ln(-(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)-(a+b)^(1/2))-7/4/d*b^(5/2)/a/(a+b)^(7/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))+1/2/d*b^(7/2)/a^2/(a+b)^(7/2)*ln(-(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)-(a+b)^(1/2))-1/2/d*b^(7/2)/a^2/(a+b)^(7/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-1/24/d/(a+b)^2/tanh(1/2*d*x+1/2*c)^3-5/8/d/(a+b)^3/tanh(1/2*d*x+1/2*c)*a-13/8/d/(a+b)^3/tanh(1/2*d*x+1/2*c)*b","B"
158,1,1713,134,0.446000," ","int(tanh(d*x+c)^6/(a+b*sech(d*x+c)^2)^3,x)","-\frac{3 \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{16 d \,b^{\frac{5}{2}} \sqrt{a +b}}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,a^{3}}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,a^{3}}+\frac{b \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{19 \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d a \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{5 \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d a \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}+\frac{\sqrt{b}\, \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d \,a^{3} \sqrt{a +b}}-\frac{b \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}+\frac{\ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{16 d a \,b^{\frac{3}{2}} \sqrt{a +b}}-\frac{\ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{4 d \,a^{2} \sqrt{b}\, \sqrt{a +b}}+\frac{3 a \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} b^{2}}+\frac{9 a \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} b^{2}}+\frac{9 a \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} b^{2}}+\frac{3 a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} b^{2}}-\frac{\ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{16 d a \,b^{\frac{3}{2}} \sqrt{a +b}}-\frac{\sqrt{b}\, \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d \,a^{3} \sqrt{a +b}}+\frac{\ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{4 d \,a^{2} \sqrt{b}\, \sqrt{a +b}}-\frac{19 \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d a \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{5 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{4 d a \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}+\frac{\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)}{2 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} b}-\frac{7 \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{2 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} b}-\frac{7 \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{2 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} b}+\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{2 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} b}+\frac{3 \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{16 d \,b^{\frac{5}{2}} \sqrt{a +b}}+\frac{b \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{b \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}"," ",0,"1/d/a^3*ln(tanh(1/2*d*x+1/2*c)+1)-1/d/a^3*ln(tanh(1/2*d*x+1/2*c)-1)-5/4/d/a/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^7-19/4/d/a/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^5-19/4/d/a/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^3-5/4/d/a/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)+1/2/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/b*tanh(1/2*d*x+1/2*c)^7-7/2/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/b*tanh(1/2*d*x+1/2*c)^5-7/2/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/b*tanh(1/2*d*x+1/2*c)^3+1/2/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/b*tanh(1/2*d*x+1/2*c)+3/16/d/b^(5/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2-2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-3/16/d/b^(5/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))+1/4/d/a^2/b^(1/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2-2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))+1/16/d/a/b^(3/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-1/4/d/a^2/b^(1/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))+3/4/d*a/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/b^2*tanh(1/2*d*x+1/2*c)^7+9/4/d*a/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/b^2*tanh(1/2*d*x+1/2*c)^5+9/4/d*a/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/b^2*tanh(1/2*d*x+1/2*c)^3+3/4/d*a/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/b^2*tanh(1/2*d*x+1/2*c)-1/16/d/a/b^(3/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2-2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-1/2/d/a^3*b^(1/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))+1/d/a^2*b/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^5+1/2/d/a^3*b^(1/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2-2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-1/d/a^2*b/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^7+1/d/a^2*b/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^3-1/d/a^2*b/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)","B"
159,1,579,73,0.417000," ","int(tanh(d*x+c)^5/(a+b*sech(d*x+c)^2)^3,x)","-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,a^{3}}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,a^{3}}-\frac{2 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d a \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{2 b \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{8 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d a \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}+\frac{4 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d a \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{2 b \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}+\frac{\ln \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}{2 d \,a^{3}}"," ",0,"-1/d/a^3*ln(tanh(1/2*d*x+1/2*c)-1)-1/d/a^3*ln(tanh(1/2*d*x+1/2*c)+1)-2/d/a/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^6-2/d/a^2*b/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^6-8/d/a/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^4+4/d/a^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^4*b-2/d/a/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^2-2/d/a^2*b/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^2+1/2/d/a^3*ln(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)","B"
160,1,1306,125,0.481000," ","int(tanh(d*x+c)^4/(a+b*sech(d*x+c)^2)^3,x)","-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,a^{3}}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,a^{3}}-\frac{\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} b}-\frac{5 \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d a \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{b \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{3 \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} b}-\frac{19 \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d a \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}+\frac{b \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{3 \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} b}-\frac{19 \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d a \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}+\frac{b \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} b}-\frac{5 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{4 d a \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{b \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{\ln \left(-\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\sqrt{a +b}\right)}{16 d a \,b^{\frac{3}{2}} \sqrt{a +b}}+\frac{\ln \left(-\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\sqrt{a +b}\right)}{4 d \,a^{2} \sqrt{b}\, \sqrt{a +b}}+\frac{\sqrt{b}\, \ln \left(-\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\sqrt{a +b}\right)}{2 d \,a^{3} \sqrt{a +b}}+\frac{\ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{16 d a \,b^{\frac{3}{2}} \sqrt{a +b}}-\frac{\ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{4 d \,a^{2} \sqrt{b}\, \sqrt{a +b}}-\frac{\sqrt{b}\, \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d \,a^{3} \sqrt{a +b}}"," ",0,"-1/d/a^3*ln(tanh(1/2*d*x+1/2*c)-1)+1/d/a^3*ln(tanh(1/2*d*x+1/2*c)+1)-1/4/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/b*tanh(1/2*d*x+1/2*c)^7-5/4/d/a/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^7-1/d/a^2*b/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^7-3/4/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/b*tanh(1/2*d*x+1/2*c)^5-19/4/d/a/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^5+1/d/a^2*b/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^5-3/4/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/b*tanh(1/2*d*x+1/2*c)^3-19/4/d/a/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^3+1/d/a^2*b/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^3-1/4/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/b*tanh(1/2*d*x+1/2*c)-5/4/d/a/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)-1/d/a^2*b/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)-1/16/d/a/b^(3/2)/(a+b)^(1/2)*ln(-(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)-(a+b)^(1/2))+1/4/d/a^2/b^(1/2)/(a+b)^(1/2)*ln(-(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)-(a+b)^(1/2))+1/2/d/a^3*b^(1/2)/(a+b)^(1/2)*ln(-(a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)-(a+b)^(1/2))+1/16/d/a/b^(3/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-1/4/d/a^2/b^(1/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-1/2/d/a^3*b^(1/2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))","B"
161,1,672,75,0.405000," ","int(tanh(d*x+c)^3/(a+b*sech(d*x+c)^2)^3,x)","-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,a^{3}}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,a^{3}}-\frac{2 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d a \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{2 b \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{4 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)}-\frac{4 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d a \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)}+\frac{4 b^{2} \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)}-\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d a \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{2 b \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}+\frac{\ln \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}{2 d \,a^{3}}"," ",0,"-1/d/a^3*ln(tanh(1/2*d*x+1/2*c)-1)-1/d/a^3*ln(tanh(1/2*d*x+1/2*c)+1)-2/d/a/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^6-2/d/a^2*b/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^6-4/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)*tanh(1/2*d*x+1/2*c)^4-4/d/a*b/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)*tanh(1/2*d*x+1/2*c)^4+4/d/a^2*b^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)*tanh(1/2*d*x+1/2*c)^4-2/d/a/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^2-2/d/a^2*b/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^2+1/2/d/a^3*ln(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)","B"
162,1,1173,125,0.430000," ","int(tanh(d*x+c)^2/(a+b*sech(d*x+c)^2)^3,x)","-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,a^{3}}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,a^{3}}-\frac{5 \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d a \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{b \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{15 \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)}-\frac{15 b \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d a \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)}+\frac{b^{2} \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)}-\frac{15 \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)}-\frac{15 b \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d a \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)}+\frac{b^{2} \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)}-\frac{5 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{4 d a \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{b \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}+\frac{3 \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{16 d a \left(a +b \right)^{\frac{3}{2}} \sqrt{b}}+\frac{3 \sqrt{b}\, \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{4 d \,a^{2} \left(a +b \right)^{\frac{3}{2}}}+\frac{b^{\frac{3}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d \,a^{3} \left(a +b \right)^{\frac{3}{2}}}-\frac{3 \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{16 d a \left(a +b \right)^{\frac{3}{2}} \sqrt{b}}-\frac{3 \sqrt{b}\, \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{4 d \,a^{2} \left(a +b \right)^{\frac{3}{2}}}-\frac{b^{\frac{3}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d \,a^{3} \left(a +b \right)^{\frac{3}{2}}}"," ",0,"-1/d/a^3*ln(tanh(1/2*d*x+1/2*c)-1)+1/d/a^3*ln(tanh(1/2*d*x+1/2*c)+1)-5/4/d/a/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^7-1/d/a^2*b/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^7-15/4/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)*tanh(1/2*d*x+1/2*c)^5-15/4/d*b/a/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)*tanh(1/2*d*x+1/2*c)^5+1/d*b^2/a^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)*tanh(1/2*d*x+1/2*c)^5-15/4/d/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)*tanh(1/2*d*x+1/2*c)^3-15/4/d*b/a/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)*tanh(1/2*d*x+1/2*c)^3+1/d*b^2/a^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)*tanh(1/2*d*x+1/2*c)^3-5/4/d/a/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)-1/d/a^2*b/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)+3/16/d/a/(a+b)^(3/2)/b^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2-2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))+3/4/d/a^2/(a+b)^(3/2)*b^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2-2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))+1/2/d/a^3/(a+b)^(3/2)*b^(3/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2-2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-3/16/d/a/(a+b)^(3/2)/b^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-3/4/d*b^(1/2)/a^2/(a+b)^(3/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-1/2/d*b^(3/2)/a^3/(a+b)^(3/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))","B"
163,1,82,69,0.207000," ","int(tanh(d*x+c)/(a+b*sech(d*x+c)^2)^3,x)","\frac{\ln \left(a +b \mathrm{sech}\left(d x +c \right)^{2}\right)}{2 d \,a^{3}}-\frac{1}{4 d a \left(a +b \mathrm{sech}\left(d x +c \right)^{2}\right)^{2}}-\frac{1}{2 d \,a^{2} \left(a +b \mathrm{sech}\left(d x +c \right)^{2}\right)}-\frac{\ln \left(\mathrm{sech}\left(d x +c \right)\right)}{d \,a^{3}}"," ",0,"1/2/d/a^3*ln(a+b*sech(d*x+c)^2)-1/4/d/a/(a+b*sech(d*x+c)^2)^2-1/2/d/a^2/(a+b*sech(d*x+c)^2)-1/d/a^3*ln(sech(d*x+c))","A"
164,1,1283,132,0.411000," ","int(1/(a+b*sech(d*x+c)^2)^3,x)","-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,a^{3}}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,a^{3}}-\frac{9 b \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d a \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)}-\frac{b^{2} \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)}-\frac{27 b \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2}}-\frac{11 b^{2} \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d a \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2}}+\frac{b^{3} \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2}}-\frac{27 b \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2}}-\frac{11 b^{2} \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d a \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2}}+\frac{b^{3} \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)^{2}}-\frac{9 b \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right) a}-\frac{b^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} \left(a +b \right)}+\frac{15 \sqrt{b}\, \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{16 d a \left(a^{2}+2 a b +b^{2}\right) \sqrt{a +b}}+\frac{5 b^{\frac{3}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{4 d \,a^{2} \left(a^{2}+2 a b +b^{2}\right) \sqrt{a +b}}+\frac{b^{\frac{5}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d \,a^{3} \left(a^{2}+2 a b +b^{2}\right) \sqrt{a +b}}-\frac{15 \sqrt{b}\, \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{16 d a \left(a^{2}+2 a b +b^{2}\right) \sqrt{a +b}}-\frac{5 b^{\frac{3}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{4 d \,a^{2} \left(a^{2}+2 a b +b^{2}\right) \sqrt{a +b}}-\frac{b^{\frac{5}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d \,a^{3} \left(a^{2}+2 a b +b^{2}\right) \sqrt{a +b}}"," ",0,"-1/d/a^3*ln(tanh(1/2*d*x+1/2*c)-1)+1/d/a^3*ln(tanh(1/2*d*x+1/2*c)+1)-9/4/d/a*b/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)*tanh(1/2*d*x+1/2*c)^7-1/d/a^2*b^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)*tanh(1/2*d*x+1/2*c)^7-27/4/d*b/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)^2*tanh(1/2*d*x+1/2*c)^5-11/4/d/a*b^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)^2*tanh(1/2*d*x+1/2*c)^5+1/d/a^2*b^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)^2*tanh(1/2*d*x+1/2*c)^5-27/4/d*b/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)^2*tanh(1/2*d*x+1/2*c)^3-11/4/d/a*b^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)^2*tanh(1/2*d*x+1/2*c)^3+1/d/a^2*b^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)^2*tanh(1/2*d*x+1/2*c)^3-9/4/d/a*b/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)*tanh(1/2*d*x+1/2*c)-1/d/a^2*b^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/(a+b)*tanh(1/2*d*x+1/2*c)+15/16/d/a*b^(1/2)/(a^2+2*a*b+b^2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2-2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))+5/4/d/a^2*b^(3/2)/(a^2+2*a*b+b^2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2-2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))+1/2/d/a^3*b^(5/2)/(a^2+2*a*b+b^2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2-2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-15/16/d/a*b^(1/2)/(a^2+2*a*b+b^2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-5/4/d/a^2*b^(3/2)/(a^2+2*a*b+b^2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-1/2/d/a^3*b^(5/2)/(a^2+2*a*b+b^2)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))","B"
165,1,1046,124,0.473000," ","int(coth(d*x+c)/(a+b*sech(d*x+c)^2)^3,x)","-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,a^{3}}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,a^{3}}-\frac{6 b^{2} \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{8 b^{3} \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} a}-\frac{2 b^{4} \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} a^{2}}-\frac{12 b^{2} \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}+\frac{4 b^{3} \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} a}+\frac{4 b^{4} \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} a^{2}}-\frac{6 b^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{8 b^{3} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} a}-\frac{2 b^{4} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} a^{2}}+\frac{3 b \ln \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}{2 d a \left(a +b \right)^{3}}+\frac{3 b^{2} \ln \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}{2 d \,a^{2} \left(a +b \right)^{3}}+\frac{b^{3} \ln \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}{2 d \,a^{3} \left(a +b \right)^{3}}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(a +b \right)^{3}}"," ",0,"-1/d/a^3*ln(tanh(1/2*d*x+1/2*c)-1)-1/d/a^3*ln(tanh(1/2*d*x+1/2*c)+1)-6/d*b^2/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^6-8/d*b^3/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/a*tanh(1/2*d*x+1/2*c)^6-2/d*b^4/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/a^2*tanh(1/2*d*x+1/2*c)^6-12/d*b^2/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^4+4/d*b^3/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/a*tanh(1/2*d*x+1/2*c)^4+4/d*b^4/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/a^2*tanh(1/2*d*x+1/2*c)^4-6/d*b^2/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^2-8/d*b^3/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/a*tanh(1/2*d*x+1/2*c)^2-2/d*b^4/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/a^2*tanh(1/2*d*x+1/2*c)^2+3/2/d*b/a/(a+b)^3*ln(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)+3/2/d*b^2/a^2/(a+b)^3*ln(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)+1/2/d*b^3/a^3/(a+b)^3*ln(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)+1/d/(a+b)^3*ln(tanh(1/2*d*x+1/2*c))","B"
166,1,1433,166,0.507000," ","int(coth(d*x+c)^2/(a+b*sech(d*x+c)^2)^3,x)","-\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{2 d \left(a^{3}+3 a^{2} b +3 a \,b^{2}+b^{3}\right)}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,a^{3}}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,a^{3}}-\frac{13 b^{2} \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{17 b^{3} \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d a \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{b^{4} \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{2} \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{39 b^{2} \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{7 b^{3} \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d a \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}+\frac{b^{4} \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{2} \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{39 b^{2} \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{7 b^{3} \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d a \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}+\frac{b^{4} \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{2} \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{13 b^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{4 d \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{17 b^{3} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{4 d a \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{b^{4} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d \,a^{2} \left(a +b \right)^{3} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}+\frac{35 b^{\frac{3}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{16 d a \left(a +b \right)^{\frac{7}{2}}}-\frac{35 b^{\frac{3}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{16 d a \left(a +b \right)^{\frac{7}{2}}}+\frac{7 b^{\frac{5}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{4 d \,a^{2} \left(a +b \right)^{\frac{7}{2}}}-\frac{7 b^{\frac{5}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{4 d \,a^{2} \left(a +b \right)^{\frac{7}{2}}}+\frac{b^{\frac{7}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d \,a^{3} \left(a +b \right)^{\frac{7}{2}}}-\frac{b^{\frac{7}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d \,a^{3} \left(a +b \right)^{\frac{7}{2}}}-\frac{1}{2 d \left(a +b \right)^{3} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}"," ",0,"-1/2/d/(a^3+3*a^2*b+3*a*b^2+b^3)*tanh(1/2*d*x+1/2*c)-1/d/a^3*ln(tanh(1/2*d*x+1/2*c)-1)+1/d/a^3*ln(tanh(1/2*d*x+1/2*c)+1)-13/4/d*b^2/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^7-17/4/d*b^3/a/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^7-1/d*b^4/a^2/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^7-39/4/d*b^2/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^5-7/4/d*b^3/a/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^5+1/d*b^4/a^2/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^5-39/4/d*b^2/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^3-7/4/d*b^3/a/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^3+1/d*b^4/a^2/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^3-13/4/d*b^2/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)-17/4/d*b^3/a/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)-1/d*b^4/a^2/(a+b)^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)+35/16/d*b^(3/2)/a/(a+b)^(7/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2-2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-35/16/d*b^(3/2)/a/(a+b)^(7/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))+7/4/d*b^(5/2)/a^2/(a+b)^(7/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2-2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-7/4/d*b^(5/2)/a^2/(a+b)^(7/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))+1/2/d*b^(7/2)/a^3/(a+b)^(7/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2-2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-1/2/d*b^(7/2)/a^3/(a+b)^(7/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-1/2/d/(a+b)^3/tanh(1/2*d*x+1/2*c)","B"
167,1,1128,146,0.570000," ","int(coth(d*x+c)^3/(a+b*sech(d*x+c)^2)^3,x)","-\frac{\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)}{8 d \left(a^{3}+3 a^{2} b +3 a \,b^{2}+b^{3}\right)}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,a^{3}}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,a^{3}}-\frac{8 b^{3} \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(a +b \right)^{4} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{10 b^{4} \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(a +b \right)^{4} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} a}-\frac{2 b^{5} \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(a +b \right)^{4} a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{16 b^{3} \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(a +b \right)^{4} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}+\frac{8 b^{4} \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(a +b \right)^{4} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} a}+\frac{4 b^{5} \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(a +b \right)^{4} a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{8 b^{3} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(a +b \right)^{4} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{10 b^{4} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(a +b \right)^{4} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2} a}-\frac{2 b^{5} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(a +b \right)^{4} a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}+\frac{3 b^{2} \ln \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}{d \left(a +b \right)^{4} a}+\frac{2 b^{3} \ln \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}{d \left(a +b \right)^{4} a^{2}}+\frac{b^{4} \ln \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)}{2 d \left(a +b \right)^{4} a^{3}}-\frac{1}{8 d \left(a +b \right)^{3} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)^{2}}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right) a}{d \left(a +b \right)^{4}}+\frac{4 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{d \left(a +b \right)^{4}}"," ",0,"-1/8/d*tanh(1/2*d*x+1/2*c)^2/(a^3+3*a^2*b+3*a*b^2+b^3)-1/d/a^3*ln(tanh(1/2*d*x+1/2*c)-1)-1/d/a^3*ln(tanh(1/2*d*x+1/2*c)+1)-8/d*b^3/(a+b)^4/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^6-10/d*b^4/(a+b)^4/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/a*tanh(1/2*d*x+1/2*c)^6-2/d*b^5/(a+b)^4/a^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^6-16/d*b^3/(a+b)^4/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^4+8/d*b^4/(a+b)^4/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/a*tanh(1/2*d*x+1/2*c)^4+4/d*b^5/(a+b)^4/a^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^4-8/d*b^3/(a+b)^4/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^2-10/d*b^4/(a+b)^4/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2/a*tanh(1/2*d*x+1/2*c)^2-2/d*b^5/(a+b)^4/a^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^2+3/d*b^2/(a+b)^4/a*ln(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)+2/d*b^3/(a+b)^4/a^2*ln(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)+1/2/d*b^4/(a+b)^4/a^3*ln(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)-1/8/d/(a+b)^3/tanh(1/2*d*x+1/2*c)^2+1/d/(a+b)^4*ln(tanh(1/2*d*x+1/2*c))*a+4/d/(a+b)^4*ln(tanh(1/2*d*x+1/2*c))*b","B"
168,1,1610,214,0.567000," ","int(coth(d*x+c)^4/(a+b*sech(d*x+c)^2)^3,x)","-\frac{a \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{24 d \left(a^{3}+3 a^{2} b +3 a \,b^{2}+b^{3}\right) \left(a +b \right)}-\frac{\left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{24 d \left(a^{3}+3 a^{2} b +3 a \,b^{2}+b^{3}\right) \left(a +b \right)}-\frac{b^{\frac{9}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d \left(a +b \right)^{\frac{9}{2}} a^{3}}+\frac{63 b^{\frac{5}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{16 d \left(a +b \right)^{\frac{9}{2}} a}-\frac{63 b^{\frac{5}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{16 d \left(a +b \right)^{\frac{9}{2}} a}+\frac{9 b^{\frac{7}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{4 d \left(a +b \right)^{\frac{9}{2}} a^{2}}-\frac{9 b^{\frac{7}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{4 d \left(a +b \right)^{\frac{9}{2}} a^{2}}+\frac{b^{\frac{9}{2}} \ln \left(\sqrt{a +b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-2 \sqrt{b}\, \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+\sqrt{a +b}\right)}{2 d \left(a +b \right)^{\frac{9}{2}} a^{3}}-\frac{51 b^{3} \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(a +b \right)^{4} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{51 b^{3} \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(a +b \right)^{4} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{b^{5} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d \left(a +b \right)^{4} a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{3 b^{4} \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(a +b \right)^{4} a \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{3 b^{4} \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(a +b \right)^{4} a \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{21 b^{4} \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(a +b \right)^{4} a \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{b^{5} \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(a +b \right)^{4} a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}+\frac{b^{5} \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(a +b \right)^{4} a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}+\frac{b^{5} \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(a +b \right)^{4} a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,a^{3}}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,a^{3}}-\frac{5 a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{8 d \left(a^{3}+3 a^{2} b +3 a \,b^{2}+b^{3}\right) \left(a +b \right)}-\frac{17 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b}{8 d \left(a^{3}+3 a^{2} b +3 a \,b^{2}+b^{3}\right) \left(a +b \right)}-\frac{1}{24 d \left(a +b \right)^{3} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)^{3}}-\frac{17 b^{3} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{4 d \left(a +b \right)^{4} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{17 b^{3} \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \left(a +b \right)^{4} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}-\frac{5 a}{8 d \left(a +b \right)^{4} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}-\frac{17 b}{8 d \left(a +b \right)^{4} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}-\frac{21 b^{4} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{4 d \left(a +b \right)^{4} a \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a +b \right)^{2}}"," ",0,"1/d/a^3*ln(tanh(1/2*d*x+1/2*c)+1)-1/d/a^3*ln(tanh(1/2*d*x+1/2*c)-1)-5/8/d/(a^3+3*a^2*b+3*a*b^2+b^3)/(a+b)*a*tanh(1/2*d*x+1/2*c)-17/8/d/(a^3+3*a^2*b+3*a*b^2+b^3)/(a+b)*tanh(1/2*d*x+1/2*c)*b-1/24/d/(a+b)^3/tanh(1/2*d*x+1/2*c)^3-5/8/d/(a+b)^4/tanh(1/2*d*x+1/2*c)*a-17/8/d/(a+b)^4/tanh(1/2*d*x+1/2*c)*b-1/2/d*b^(9/2)/(a+b)^(9/2)/a^3*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))+63/16/d*b^(5/2)/(a+b)^(9/2)/a*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2-2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-63/16/d*b^(5/2)/(a+b)^(9/2)/a*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))+9/4/d*b^(7/2)/(a+b)^(9/2)/a^2*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2-2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-9/4/d*b^(7/2)/(a+b)^(9/2)/a^2*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))+1/2/d*b^(9/2)/(a+b)^(9/2)/a^3*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2-2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-17/4/d*b^3/(a+b)^4/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)-17/4/d*b^3/(a+b)^4/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^7-51/4/d*b^3/(a+b)^4/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^5-51/4/d*b^3/(a+b)^4/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^3-1/24/d/(a^3+3*a^2*b+3*a*b^2+b^3)/(a+b)*a*tanh(1/2*d*x+1/2*c)^3-1/24/d/(a^3+3*a^2*b+3*a*b^2+b^3)/(a+b)*tanh(1/2*d*x+1/2*c)^3*b-1/d*b^5/(a+b)^4/a^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)-3/4/d*b^4/(a+b)^4/a/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^3-3/4/d*b^4/(a+b)^4/a/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^5-21/4/d*b^4/(a+b)^4/a/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^7-1/d*b^5/(a+b)^4/a^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^7+1/d*b^5/(a+b)^4/a^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^5+1/d*b^5/(a+b)^4/a^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)^3-21/4/d*b^4/(a+b)^4/a/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^2*tanh(1/2*d*x+1/2*c)","B"
169,1,2880,191,0.446000," ","int(1/(a+b*sech(d*x+c)^2)^4,x)","\text{output too large to display}"," ",0,"-2/d*b^5/a^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^3/(a+b)/(a^2+2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^7-37/4/d*b^3/a/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^3/(a+b)/(a^2+2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^7-1/2/d*b^4/a^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^3/(a+b)/(a^2+2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^7-145/4/d*b*a/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^3/(a+b)/(a^2+2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^7-145/8/d*b/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^3/(a^2+2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^3-37/d*b^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^3/(a^3+3*a^2*b+3*a*b^2+b^3)*tanh(1/2*d*x+1/2*c)^5-13/4/d*b^2/a^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^3/(a+b)*tanh(1/2*d*x+1/2*c)^11-1/d*b^3/a^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^3/(a+b)*tanh(1/2*d*x+1/2*c)^11-281/24/d*b^2/a/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^3/(a^2+2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^9+11/4/d*b^3/a^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^3/(a^2+2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^9+3/d*b^4/a^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^3/(a^2+2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^9-37/4/d*b^3/a/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^3/(a^3+3*a^2*b+3*a*b^2+b^3)*tanh(1/2*d*x+1/2*c)^5-1/2/d*b^4/a^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^3/(a^3+3*a^2*b+3*a*b^2+b^3)*tanh(1/2*d*x+1/2*c)^5-2/d*b^5/a^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^3/(a^3+3*a^2*b+3*a*b^2+b^3)*tanh(1/2*d*x+1/2*c)^5-29/8/d*b/a/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^3/(a+b)*tanh(1/2*d*x+1/2*c)^11-1/d/a^4*ln(tanh(1/2*d*x+1/2*c)-1)+1/d/a^4*ln(tanh(1/2*d*x+1/2*c)+1)-145/4/d*b*a/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^3/(a^3+3*a^2*b+3*a*b^2+b^3)*tanh(1/2*d*x+1/2*c)^5-29/8/d*b/a/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^3/(a+b)*tanh(1/2*d*x+1/2*c)-35/16/d*b^(3/2)/a^2/(a^3+3*a^2*b+3*a*b^2+b^3)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-7/4/d*b^(5/2)/a^3/(a^3+3*a^2*b+3*a*b^2+b^3)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-37/d*b^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^3/(a+b)/(a^2+2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^7+35/32/d*b^(1/2)/a/(a^3+3*a^2*b+3*a*b^2+b^3)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2-2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-1/2/d*b^(7/2)/a^4/(a^3+3*a^2*b+3*a*b^2+b^3)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))+35/16/d*b^(3/2)/a^2/(a^3+3*a^2*b+3*a*b^2+b^3)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2-2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))+1/2/d*b^(7/2)/a^4/(a^3+3*a^2*b+3*a*b^2+b^3)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2-2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-35/32/d*b^(1/2)/a/(a^3+3*a^2*b+3*a*b^2+b^3)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2+2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))+7/4/d*b^(5/2)/a^3/(a^3+3*a^2*b+3*a*b^2+b^3)/(a+b)^(1/2)*ln((a+b)^(1/2)*tanh(1/2*d*x+1/2*c)^2-2*b^(1/2)*tanh(1/2*d*x+1/2*c)+(a+b)^(1/2))-281/24/d*b^2/a/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^3/(a^2+2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^3+11/4/d*b^3/a^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^3/(a^2+2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^3+3/d*b^4/a^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^3/(a^2+2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^3-13/4/d*b^2/a^2/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^3/(a+b)*tanh(1/2*d*x+1/2*c)-1/d*b^3/a^3/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^3/(a+b)*tanh(1/2*d*x+1/2*c)-145/8/d*b/(tanh(1/2*d*x+1/2*c)^4*a+b*tanh(1/2*d*x+1/2*c)^4+2*tanh(1/2*d*x+1/2*c)^2*a-2*tanh(1/2*d*x+1/2*c)^2*b+a+b)^3/(a^2+2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^9","B"
170,1,120,23,0.284000," ","int((1-sech(x)^2)^(3/2),x)","-\frac{\left(1+{\mathrm e}^{2 x}\right) \sqrt{\frac{\left({\mathrm e}^{2 x}-1\right)^{2}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}\, x}{{\mathrm e}^{2 x}-1}+\frac{2 \sqrt{\frac{\left({\mathrm e}^{2 x}-1\right)^{2}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}\, {\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right) \left(1+{\mathrm e}^{2 x}\right)}+\frac{\left(1+{\mathrm e}^{2 x}\right) \sqrt{\frac{\left({\mathrm e}^{2 x}-1\right)^{2}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}\, \ln \left(1+{\mathrm e}^{2 x}\right)}{{\mathrm e}^{2 x}-1}"," ",0,"-1/(exp(2*x)-1)*(1+exp(2*x))*((exp(2*x)-1)^2/(1+exp(2*x))^2)^(1/2)*x+2/(exp(2*x)-1)/(1+exp(2*x))*((exp(2*x)-1)^2/(1+exp(2*x))^2)^(1/2)*exp(2*x)+1/(exp(2*x)-1)*(1+exp(2*x))*((exp(2*x)-1)^2/(1+exp(2*x))^2)^(1/2)*ln(1+exp(2*x))","B"
171,1,79,12,0.299000," ","int((1-sech(x)^2)^(1/2),x)","-\frac{\left(1+{\mathrm e}^{2 x}\right) \sqrt{\frac{\left({\mathrm e}^{2 x}-1\right)^{2}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}\, x}{{\mathrm e}^{2 x}-1}+\frac{\left(1+{\mathrm e}^{2 x}\right) \sqrt{\frac{\left({\mathrm e}^{2 x}-1\right)^{2}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}\, \ln \left(1+{\mathrm e}^{2 x}\right)}{{\mathrm e}^{2 x}-1}"," ",0,"-1/(exp(2*x)-1)*(1+exp(2*x))*((exp(2*x)-1)^2/(1+exp(2*x))^2)^(1/2)*x+1/(exp(2*x)-1)*(1+exp(2*x))*((exp(2*x)-1)^2/(1+exp(2*x))^2)^(1/2)*ln(1+exp(2*x))","B"
172,1,79,12,0.258000," ","int(1/(1-sech(x)^2)^(1/2),x)","-\frac{\left({\mathrm e}^{2 x}-1\right) x}{\sqrt{\frac{\left({\mathrm e}^{2 x}-1\right)^{2}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}\, \left(1+{\mathrm e}^{2 x}\right)}+\frac{\left({\mathrm e}^{2 x}-1\right) \ln \left({\mathrm e}^{2 x}-1\right)}{\sqrt{\frac{\left({\mathrm e}^{2 x}-1\right)^{2}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}\, \left(1+{\mathrm e}^{2 x}\right)}"," ",0,"-1/((exp(2*x)-1)^2/(1+exp(2*x))^2)^(1/2)/(1+exp(2*x))*(exp(2*x)-1)*x+1/((exp(2*x)-1)^2/(1+exp(2*x))^2)^(1/2)/(1+exp(2*x))*(exp(2*x)-1)*ln(exp(2*x)-1)","B"
173,1,123,28,0.316000," ","int((-1+sech(x)^2)^(3/2),x)","\frac{\left(1+{\mathrm e}^{2 x}\right) \sqrt{-\frac{\left({\mathrm e}^{2 x}-1\right)^{2}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}\, x}{{\mathrm e}^{2 x}-1}-\frac{2 \sqrt{-\frac{\left({\mathrm e}^{2 x}-1\right)^{2}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}\, {\mathrm e}^{2 x}}{\left({\mathrm e}^{2 x}-1\right) \left(1+{\mathrm e}^{2 x}\right)}-\frac{\left(1+{\mathrm e}^{2 x}\right) \sqrt{-\frac{\left({\mathrm e}^{2 x}-1\right)^{2}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}\, \ln \left(1+{\mathrm e}^{2 x}\right)}{{\mathrm e}^{2 x}-1}"," ",0,"1/(exp(2*x)-1)*(1+exp(2*x))*(-(exp(2*x)-1)^2/(1+exp(2*x))^2)^(1/2)*x-2/(exp(2*x)-1)/(1+exp(2*x))*(-(exp(2*x)-1)^2/(1+exp(2*x))^2)^(1/2)*exp(2*x)-1/(exp(2*x)-1)*(1+exp(2*x))*(-(exp(2*x)-1)^2/(1+exp(2*x))^2)^(1/2)*ln(1+exp(2*x))","B"
174,1,81,14,0.321000," ","int((-1+sech(x)^2)^(1/2),x)","-\frac{\left(1+{\mathrm e}^{2 x}\right) \sqrt{-\frac{\left({\mathrm e}^{2 x}-1\right)^{2}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}\, x}{{\mathrm e}^{2 x}-1}+\frac{\left(1+{\mathrm e}^{2 x}\right) \sqrt{-\frac{\left({\mathrm e}^{2 x}-1\right)^{2}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}\, \ln \left(1+{\mathrm e}^{2 x}\right)}{{\mathrm e}^{2 x}-1}"," ",0,"-1/(exp(2*x)-1)*(1+exp(2*x))*(-(exp(2*x)-1)^2/(1+exp(2*x))^2)^(1/2)*x+1/(exp(2*x)-1)*(1+exp(2*x))*(-(exp(2*x)-1)^2/(1+exp(2*x))^2)^(1/2)*ln(1+exp(2*x))","B"
175,1,81,14,0.299000," ","int(1/(-1+sech(x)^2)^(1/2),x)","-\frac{\left({\mathrm e}^{2 x}-1\right) x}{\sqrt{-\frac{\left({\mathrm e}^{2 x}-1\right)^{2}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}\, \left(1+{\mathrm e}^{2 x}\right)}+\frac{\left({\mathrm e}^{2 x}-1\right) \ln \left({\mathrm e}^{2 x}-1\right)}{\sqrt{-\frac{\left({\mathrm e}^{2 x}-1\right)^{2}}{\left(1+{\mathrm e}^{2 x}\right)^{2}}}\, \left(1+{\mathrm e}^{2 x}\right)}"," ",0,"-1/(-(exp(2*x)-1)^2/(1+exp(2*x))^2)^(1/2)/(1+exp(2*x))*(exp(2*x)-1)*x+1/(-(exp(2*x)-1)^2/(1+exp(2*x))^2)^(1/2)/(1+exp(2*x))*(exp(2*x)-1)*ln(exp(2*x)-1)","B"
176,0,0,67,0.453000," ","int((a+b*sech(x)^2)^(1/2)*tanh(x)^5,x)","\int \sqrt{a +b \mathrm{sech}\left(x \right)^{2}}\, \left(\tanh^{5}\left(x \right)\right)\, dx"," ",0,"int((a+b*sech(x)^2)^(1/2)*tanh(x)^5,x)","F"
177,0,0,103,0.397000," ","int((a+b*sech(x)^2)^(1/2)*tanh(x)^4,x)","\int \sqrt{a +b \mathrm{sech}\left(x \right)^{2}}\, \left(\tanh^{4}\left(x \right)\right)\, dx"," ",0,"int((a+b*sech(x)^2)^(1/2)*tanh(x)^4,x)","F"
178,0,0,47,0.319000," ","int((a+b*sech(x)^2)^(1/2)*tanh(x)^3,x)","\int \sqrt{a +b \mathrm{sech}\left(x \right)^{2}}\, \left(\tanh^{3}\left(x \right)\right)\, dx"," ",0,"int((a+b*sech(x)^2)^(1/2)*tanh(x)^3,x)","F"
179,0,0,69,0.273000," ","int((a+b*sech(x)^2)^(1/2)*tanh(x)^2,x)","\int \sqrt{a +b \mathrm{sech}\left(x \right)^{2}}\, \left(\tanh^{2}\left(x \right)\right)\, dx"," ",0,"int((a+b*sech(x)^2)^(1/2)*tanh(x)^2,x)","F"
180,1,43,32,0.067000," ","int((a+b*sech(x)^2)^(1/2)*tanh(x),x)","-\sqrt{a +b \mathrm{sech}\left(x \right)^{2}}+\sqrt{a}\, \ln \left(\frac{2 a +2 \sqrt{a}\, \sqrt{a +b \mathrm{sech}\left(x \right)^{2}}}{\mathrm{sech}\left(x \right)}\right)"," ",0,"-(a+b*sech(x)^2)^(1/2)+a^(1/2)*ln((2*a+2*a^(1/2)*(a+b*sech(x)^2)^(1/2))/sech(x))","A"
181,0,0,47,0.308000," ","int((a+b*sech(x)^2)^(1/2),x)","\int \sqrt{a +b \mathrm{sech}\left(x \right)^{2}}\, dx"," ",0,"int((a+b*sech(x)^2)^(1/2),x)","F"
182,0,0,44,0.381000," ","int(coth(x)*(a+b*sech(x)^2)^(1/2),x)","\int \coth \left(x \right) \sqrt{a +b \mathrm{sech}\left(x \right)^{2}}\, dx"," ",0,"int(coth(x)*(a+b*sech(x)^2)^(1/2),x)","F"
183,0,0,40,0.388000," ","int(coth(x)^2*(a+b*sech(x)^2)^(1/2),x)","\int \left(\coth^{2}\left(x \right)\right) \sqrt{a +b \mathrm{sech}\left(x \right)^{2}}\, dx"," ",0,"int(coth(x)^2*(a+b*sech(x)^2)^(1/2),x)","F"
184,0,0,65,0.411000," ","int(coth(x)^3*(a+b*sech(x)^2)^(1/2),x)","\int \left(\coth^{3}\left(x \right)\right) \sqrt{a +b \mathrm{sech}\left(x \right)^{2}}\, dx"," ",0,"int(coth(x)^3*(a+b*sech(x)^2)^(1/2),x)","F"
185,0,0,70,0.412000," ","int(coth(x)^4*(a+b*sech(x)^2)^(1/2),x)","\int \left(\coth^{4}\left(x \right)\right) \sqrt{a +b \mathrm{sech}\left(x \right)^{2}}\, dx"," ",0,"int(coth(x)^4*(a+b*sech(x)^2)^(1/2),x)","F"
186,0,0,103,0.419000," ","int(coth(x)^5*(a+b*sech(x)^2)^(1/2),x)","\int \left(\coth^{5}\left(x \right)\right) \sqrt{a +b \mathrm{sech}\left(x \right)^{2}}\, dx"," ",0,"int(coth(x)^5*(a+b*sech(x)^2)^(1/2),x)","F"
187,0,0,60,0.302000," ","int((a+b*sech(x)^2)^(3/2)*tanh(x)^3,x)","\int \left(a +b \mathrm{sech}\left(x \right)^{2}\right)^{\frac{3}{2}} \left(\tanh^{3}\left(x \right)\right)\, dx"," ",0,"int((a+b*sech(x)^2)^(3/2)*tanh(x)^3,x)","F"
188,0,0,103,0.293000," ","int((a+b*sech(x)^2)^(3/2)*tanh(x)^2,x)","\int \left(a +b \mathrm{sech}\left(x \right)^{2}\right)^{\frac{3}{2}} \left(\tanh^{2}\left(x \right)\right)\, dx"," ",0,"int((a+b*sech(x)^2)^(3/2)*tanh(x)^2,x)","F"
189,1,56,45,0.049000," ","int((a+b*sech(x)^2)^(3/2)*tanh(x),x)","-\frac{\left(a +b \mathrm{sech}\left(x \right)^{2}\right)^{\frac{3}{2}}}{3}+\ln \left(\frac{2 a +2 \sqrt{a}\, \sqrt{a +b \mathrm{sech}\left(x \right)^{2}}}{\mathrm{sech}\left(x \right)}\right) a^{\frac{3}{2}}-a \sqrt{a +b \mathrm{sech}\left(x \right)^{2}}"," ",0,"-1/3*(a+b*sech(x)^2)^(3/2)+ln((2*a+2*a^(1/2)*(a+b*sech(x)^2)^(1/2))/sech(x))*a^(3/2)-a*(a+b*sech(x)^2)^(1/2)","A"
190,0,0,70,0.283000," ","int((a+b*sech(x)^2)^(3/2),x)","\int \left(a +b \mathrm{sech}\left(x \right)^{2}\right)^{\frac{3}{2}}\, dx"," ",0,"int((a+b*sech(x)^2)^(3/2),x)","F"
191,0,0,56,0.365000," ","int(coth(x)*(a+b*sech(x)^2)^(3/2),x)","\int \coth \left(x \right) \left(a +b \mathrm{sech}\left(x \right)^{2}\right)^{\frac{3}{2}}\, dx"," ",0,"int(coth(x)*(a+b*sech(x)^2)^(3/2),x)","F"
192,0,0,67,0.375000," ","int(coth(x)^2*(a+b*sech(x)^2)^(3/2),x)","\int \left(\coth^{2}\left(x \right)\right) \left(a +b \mathrm{sech}\left(x \right)^{2}\right)^{\frac{3}{2}}\, dx"," ",0,"int(coth(x)^2*(a+b*sech(x)^2)^(3/2),x)","F"
193,0,0,148,0.620000," ","int((a+b*sech(d*x+c)^2)^(5/2),x)","\int \left(a +b \mathrm{sech}\left(d x +c \right)^{2}\right)^{\frac{5}{2}}\, dx"," ",0,"int((a+b*sech(d*x+c)^2)^(5/2),x)","F"
194,0,0,54,0.414000," ","int(tanh(x)^5/(a+b*sech(x)^2)^(1/2),x)","\int \frac{\tanh^{5}\left(x \right)}{\sqrt{a +b \mathrm{sech}\left(x \right)^{2}}}\, dx"," ",0,"int(tanh(x)^5/(a+b*sech(x)^2)^(1/2),x)","F"
195,0,0,72,0.401000," ","int(tanh(x)^4/(a+b*sech(x)^2)^(1/2),x)","\int \frac{\tanh^{4}\left(x \right)}{\sqrt{a +b \mathrm{sech}\left(x \right)^{2}}}\, dx"," ",0,"int(tanh(x)^4/(a+b*sech(x)^2)^(1/2),x)","F"
196,0,0,34,0.358000," ","int(tanh(x)^3/(a+b*sech(x)^2)^(1/2),x)","\int \frac{\tanh^{3}\left(x \right)}{\sqrt{a +b \mathrm{sech}\left(x \right)^{2}}}\, dx"," ",0,"int(tanh(x)^3/(a+b*sech(x)^2)^(1/2),x)","F"
197,0,0,48,0.352000," ","int(tanh(x)^2/(a+b*sech(x)^2)^(1/2),x)","\int \frac{\tanh^{2}\left(x \right)}{\sqrt{a +b \mathrm{sech}\left(x \right)^{2}}}\, dx"," ",0,"int(tanh(x)^2/(a+b*sech(x)^2)^(1/2),x)","F"
198,1,30,19,0.118000," ","int(tanh(x)/(a+b*sech(x)^2)^(1/2),x)","\frac{\ln \left(\frac{2 a +2 \sqrt{a}\, \sqrt{a +b \mathrm{sech}\left(x \right)^{2}}}{\mathrm{sech}\left(x \right)}\right)}{\sqrt{a}}"," ",0,"1/a^(1/2)*ln((2*a+2*a^(1/2)*(a+b*sech(x)^2)^(1/2))/sech(x))","A"
199,0,0,23,0.369000," ","int(1/(a+b*sech(x)^2)^(1/2),x)","\int \frac{1}{\sqrt{a +b \mathrm{sech}\left(x \right)^{2}}}\, dx"," ",0,"int(1/(a+b*sech(x)^2)^(1/2),x)","F"
200,0,0,44,0.402000," ","int(coth(x)/(a+b*sech(x)^2)^(1/2),x)","\int \frac{\coth \left(x \right)}{\sqrt{a +b \mathrm{sech}\left(x \right)^{2}}}\, dx"," ",0,"int(coth(x)/(a+b*sech(x)^2)^(1/2),x)","F"
201,0,0,45,0.470000," ","int(coth(x)^2/(a+b*sech(x)^2)^(1/2),x)","\int \frac{\coth^{2}\left(x \right)}{\sqrt{a +b \mathrm{sech}\left(x \right)^{2}}}\, dx"," ",0,"int(coth(x)^2/(a+b*sech(x)^2)^(1/2),x)","F"
202,0,0,72,0.411000," ","int(coth(x)^3/(a+b*sech(x)^2)^(1/2),x)","\int \frac{\coth^{3}\left(x \right)}{\sqrt{a +b \mathrm{sech}\left(x \right)^{2}}}\, dx"," ",0,"int(coth(x)^3/(a+b*sech(x)^2)^(1/2),x)","F"
203,0,0,58,0.382000," ","int(tanh(x)^5/(a+b*sech(x)^2)^(3/2),x)","\int \frac{\tanh^{5}\left(x \right)}{\left(a +b \mathrm{sech}\left(x \right)^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"int(tanh(x)^5/(a+b*sech(x)^2)^(3/2),x)","F"
204,0,0,72,0.378000," ","int(tanh(x)^4/(a+b*sech(x)^2)^(3/2),x)","\int \frac{\tanh^{4}\left(x \right)}{\left(a +b \mathrm{sech}\left(x \right)^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"int(tanh(x)^4/(a+b*sech(x)^2)^(3/2),x)","F"
205,0,0,44,0.335000," ","int(tanh(x)^3/(a+b*sech(x)^2)^(3/2),x)","\int \frac{\tanh^{3}\left(x \right)}{\left(a +b \mathrm{sech}\left(x \right)^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"int(tanh(x)^3/(a+b*sech(x)^2)^(3/2),x)","F"
206,0,0,43,0.334000," ","int(tanh(x)^2/(a+b*sech(x)^2)^(3/2),x)","\int \frac{\tanh^{2}\left(x \right)}{\left(a +b \mathrm{sech}\left(x \right)^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"int(tanh(x)^2/(a+b*sech(x)^2)^(3/2),x)","F"
207,1,46,35,0.099000," ","int(tanh(x)/(a+b*sech(x)^2)^(3/2),x)","-\frac{1}{a \sqrt{a +b \mathrm{sech}\left(x \right)^{2}}}+\frac{\ln \left(\frac{2 a +2 \sqrt{a}\, \sqrt{a +b \mathrm{sech}\left(x \right)^{2}}}{\mathrm{sech}\left(x \right)}\right)}{a^{\frac{3}{2}}}"," ",0,"-1/a/(a+b*sech(x)^2)^(1/2)+1/a^(3/2)*ln((2*a+2*a^(1/2)*(a+b*sech(x)^2)^(1/2))/sech(x))","A"
208,0,0,49,0.280000," ","int(1/(a+b*sech(x)^2)^(3/2),x)","\int \frac{1}{\left(a +b \mathrm{sech}\left(x \right)^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"int(1/(a+b*sech(x)^2)^(3/2),x)","F"
209,0,0,65,0.393000," ","int(coth(x)/(a+b*sech(x)^2)^(3/2),x)","\int \frac{\coth \left(x \right)}{\left(a +b \mathrm{sech}\left(x \right)^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"int(coth(x)/(a+b*sech(x)^2)^(3/2),x)","F"
210,0,0,78,0.399000," ","int(coth(x)^2/(a+b*sech(x)^2)^(3/2),x)","\int \frac{\coth^{2}\left(x \right)}{\left(a +b \mathrm{sech}\left(x \right)^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"int(coth(x)^2/(a+b*sech(x)^2)^(3/2),x)","F"
211,0,0,100,0.395000," ","int(tanh(x)^6/(a+b*sech(x)^2)^(5/2),x)","\int \frac{\tanh^{6}\left(x \right)}{\left(a +b \mathrm{sech}\left(x \right)^{2}\right)^{\frac{5}{2}}}\, dx"," ",0,"int(tanh(x)^6/(a+b*sech(x)^2)^(5/2),x)","F"
212,0,0,63,0.377000," ","int(tanh(x)^5/(a+b*sech(x)^2)^(5/2),x)","\int \frac{\tanh^{5}\left(x \right)}{\left(a +b \mathrm{sech}\left(x \right)^{2}\right)^{\frac{5}{2}}}\, dx"," ",0,"int(tanh(x)^5/(a+b*sech(x)^2)^(5/2),x)","F"
213,0,0,76,0.382000," ","int(tanh(x)^4/(a+b*sech(x)^2)^(5/2),x)","\int \frac{\tanh^{4}\left(x \right)}{\left(a +b \mathrm{sech}\left(x \right)^{2}\right)^{\frac{5}{2}}}\, dx"," ",0,"int(tanh(x)^4/(a+b*sech(x)^2)^(5/2),x)","F"
214,0,0,60,0.385000," ","int(tanh(x)^3/(a+b*sech(x)^2)^(5/2),x)","\int \frac{\tanh^{3}\left(x \right)}{\left(a +b \mathrm{sech}\left(x \right)^{2}\right)^{\frac{5}{2}}}\, dx"," ",0,"int(tanh(x)^3/(a+b*sech(x)^2)^(5/2),x)","F"
215,0,0,74,0.334000," ","int(tanh(x)^2/(a+b*sech(x)^2)^(5/2),x)","\int \frac{\tanh^{2}\left(x \right)}{\left(a +b \mathrm{sech}\left(x \right)^{2}\right)^{\frac{5}{2}}}\, dx"," ",0,"int(tanh(x)^2/(a+b*sech(x)^2)^(5/2),x)","F"
216,1,61,50,0.106000," ","int(tanh(x)/(a+b*sech(x)^2)^(5/2),x)","-\frac{1}{3 a \left(a +b \mathrm{sech}\left(x \right)^{2}\right)^{\frac{3}{2}}}-\frac{1}{a^{2} \sqrt{a +b \mathrm{sech}\left(x \right)^{2}}}+\frac{\ln \left(\frac{2 a +2 \sqrt{a}\, \sqrt{a +b \mathrm{sech}\left(x \right)^{2}}}{\mathrm{sech}\left(x \right)}\right)}{a^{\frac{5}{2}}}"," ",0,"-1/3/a/(a+b*sech(x)^2)^(3/2)-1/a^2/(a+b*sech(x)^2)^(1/2)+1/a^(5/2)*ln((2*a+2*a^(1/2)*(a+b*sech(x)^2)^(1/2))/sech(x))","A"
217,0,0,81,0.285000," ","int(1/(a+b*sech(x)^2)^(5/2),x)","\int \frac{1}{\left(a +b \mathrm{sech}\left(x \right)^{2}\right)^{\frac{5}{2}}}\, dx"," ",0,"int(1/(a+b*sech(x)^2)^(5/2),x)","F"
218,0,0,91,0.381000," ","int(coth(x)/(a+b*sech(x)^2)^(5/2),x)","\int \frac{\coth \left(x \right)}{\left(a +b \mathrm{sech}\left(x \right)^{2}\right)^{\frac{5}{2}}}\, dx"," ",0,"int(coth(x)/(a+b*sech(x)^2)^(5/2),x)","F"
219,0,0,115,0.401000," ","int(coth(x)^2/(a+b*sech(x)^2)^(5/2),x)","\int \frac{\coth^{2}\left(x \right)}{\left(a +b \mathrm{sech}\left(x \right)^{2}\right)^{\frac{5}{2}}}\, dx"," ",0,"int(coth(x)^2/(a+b*sech(x)^2)^(5/2),x)","F"
220,0,0,165,0.604000," ","int(1/(a+b*sech(d*x+c)^2)^(7/2),x)","\int \frac{1}{\left(a +b \mathrm{sech}\left(d x +c \right)^{2}\right)^{\frac{7}{2}}}\, dx"," ",0,"int(1/(a+b*sech(d*x+c)^2)^(7/2),x)","F"