1,1,88,81,0.035000," ","int(sinh(d*x+c)^4*(a+b*sinh(d*x+c)^2),x)","\frac{b \left(\left(\frac{\left(\sinh^{5}\left(d x +c \right)\right)}{6}-\frac{5 \left(\sinh^{3}\left(d x +c \right)\right)}{24}+\frac{5 \sinh \left(d x +c \right)}{16}\right) \cosh \left(d x +c \right)-\frac{5 d x}{16}-\frac{5 c}{16}\right)+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)}{d}"," ",0,"1/d*(b*((1/6*sinh(d*x+c)^5-5/24*sinh(d*x+c)^3+5/16*sinh(d*x+c))*cosh(d*x+c)-5/16*d*x-5/16*c)+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))","A"
2,1,56,49,0.032000," ","int(sinh(d*x+c)^3*(a+b*sinh(d*x+c)^2),x)","\frac{b \left(\frac{8}{15}+\frac{\left(\sinh^{4}\left(d x +c \right)\right)}{5}-\frac{4 \left(\sinh^{2}\left(d x +c \right)\right)}{15}\right) \cosh \left(d x +c \right)+a \left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(d x +c \right)\right)}{3}\right) \cosh \left(d x +c \right)}{d}"," ",0,"1/d*(b*(8/15+1/5*sinh(d*x+c)^4-4/15*sinh(d*x+c)^2)*cosh(d*x+c)+a*(-2/3+1/3*sinh(d*x+c)^2)*cosh(d*x+c))","A"
3,1,66,55,0.031000," ","int(sinh(d*x+c)^2*(a+b*sinh(d*x+c)^2),x)","\frac{b \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)+a \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*(b*((1/4*sinh(d*x+c)^3-3/8*sinh(d*x+c))*cosh(d*x+c)+3/8*d*x+3/8*c)+a*(1/2*cosh(d*x+c)*sinh(d*x+c)-1/2*d*x-1/2*c))","A"
4,1,34,30,0.035000," ","int(sinh(d*x+c)*(a+b*sinh(d*x+c)^2),x)","\frac{b \left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(d x +c \right)\right)}{3}\right) \cosh \left(d x +c \right)+a \cosh \left(d x +c \right)}{d}"," ",0,"1/d*(b*(-2/3+1/3*sinh(d*x+c)^2)*cosh(d*x+c)+a*cosh(d*x+c))","A"
5,1,32,26,0.020000," ","int(a+b*sinh(d*x+c)^2,x)","a x +\frac{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,"a*x+b/d*(1/2*cosh(d*x+c)*sinh(d*x+c)-1/2*d*x-1/2*c)","A"
6,1,24,25,0.075000," ","int(csch(d*x+c)*(a+b*sinh(d*x+c)^2),x)","\frac{-2 a \arctanh \left({\mathrm e}^{d x +c}\right)+b \cosh \left(d x +c \right)}{d}"," ",0,"1/d*(-2*a*arctanh(exp(d*x+c))+b*cosh(d*x+c))","A"
7,1,22,16,0.059000," ","int(csch(d*x+c)^2*(a+b*sinh(d*x+c)^2),x)","\frac{-\coth \left(d x +c \right) a +\left(d x +c \right) b}{d}"," ",0,"1/d*(-coth(d*x+c)*a+(d*x+c)*b)","A"
8,1,40,36,0.073000," ","int(csch(d*x+c)^3*(a+b*sinh(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)-2 b \arctanh \left({\mathrm e}^{d x +c}\right)}{d}"," ",0,"1/d*(a*(-1/2*csch(d*x+c)*coth(d*x+c)+arctanh(exp(d*x+c)))-2*b*arctanh(exp(d*x+c)))","A"
9,1,35,39,0.071000," ","int(csch(d*x+c)^4*(a+b*sinh(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 \coth \left(d x +c \right)}{d}"," ",0,"1/d*(a*(2/3-1/3*csch(d*x+c)^2)*coth(d*x+c)-b*coth(d*x+c))","A"
10,1,150,136,0.131000," ","int(sinh(d*x+c)^4*(a+b*sinh(d*x+c)^2)^2,x)","\frac{b^{2} \left(\left(\frac{\left(\sinh^{7}\left(d x +c \right)\right)}{8}-\frac{7 \left(\sinh^{5}\left(d x +c \right)\right)}{48}+\frac{35 \left(\sinh^{3}\left(d x +c \right)\right)}{192}-\frac{35 \sinh \left(d x +c \right)}{128}\right) \cosh \left(d x +c \right)+\frac{35 d x}{128}+\frac{35 c}{128}\right)+2 a b \left(\left(\frac{\left(\sinh^{5}\left(d x +c \right)\right)}{6}-\frac{5 \left(\sinh^{3}\left(d x +c \right)\right)}{24}+\frac{5 \sinh \left(d x +c \right)}{16}\right) \cosh \left(d x +c \right)-\frac{5 d x}{16}-\frac{5 c}{16}\right)+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)}{d}"," ",0,"1/d*(b^2*((1/8*sinh(d*x+c)^7-7/48*sinh(d*x+c)^5+35/192*sinh(d*x+c)^3-35/128*sinh(d*x+c))*cosh(d*x+c)+35/128*d*x+35/128*c)+2*a*b*((1/6*sinh(d*x+c)^5-5/24*sinh(d*x+c)^3+5/16*sinh(d*x+c))*cosh(d*x+c)-5/16*d*x-5/16*c)+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))","A"
11,1,102,79,0.035000," ","int(sinh(d*x+c)^3*(a+b*sinh(d*x+c)^2)^2,x)","\frac{b^{2} \left(-\frac{16}{35}+\frac{\left(\sinh^{6}\left(d x +c \right)\right)}{7}-\frac{6 \left(\sinh^{4}\left(d x +c \right)\right)}{35}+\frac{8 \left(\sinh^{2}\left(d x +c \right)\right)}{35}\right) \cosh \left(d x +c \right)+2 a b \left(\frac{8}{15}+\frac{\left(\sinh^{4}\left(d x +c \right)\right)}{5}-\frac{4 \left(\sinh^{2}\left(d x +c \right)\right)}{15}\right) \cosh \left(d x +c \right)+a^{2} \left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(d x +c \right)\right)}{3}\right) \cosh \left(d x +c \right)}{d}"," ",0,"1/d*(b^2*(-16/35+1/7*sinh(d*x+c)^6-6/35*sinh(d*x+c)^4+8/35*sinh(d*x+c)^2)*cosh(d*x+c)+2*a*b*(8/15+1/5*sinh(d*x+c)^4-4/15*sinh(d*x+c)^2)*cosh(d*x+c)+a^2*(-2/3+1/3*sinh(d*x+c)^2)*cosh(d*x+c))","A"
12,1,118,102,0.034000," ","int(sinh(d*x+c)^2*(a+b*sinh(d*x+c)^2)^2,x)","\frac{b^{2} \left(\left(\frac{\left(\sinh^{5}\left(d x +c \right)\right)}{6}-\frac{5 \left(\sinh^{3}\left(d x +c \right)\right)}{24}+\frac{5 \sinh \left(d x +c \right)}{16}\right) \cosh \left(d x +c \right)-\frac{5 d x}{16}-\frac{5 c}{16}\right)+2 a b \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)+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)}{d}"," ",0,"1/d*(b^2*((1/6*sinh(d*x+c)^5-5/24*sinh(d*x+c)^3+5/16*sinh(d*x+c))*cosh(d*x+c)-5/16*d*x-5/16*c)+2*a*b*((1/4*sinh(d*x+c)^3-3/8*sinh(d*x+c))*cosh(d*x+c)+3/8*d*x+3/8*c)+a^2*(1/2*cosh(d*x+c)*sinh(d*x+c)-1/2*d*x-1/2*c))","A"
13,1,70,53,0.033000," ","int(sinh(d*x+c)*(a+b*sinh(d*x+c)^2)^2,x)","\frac{b^{2} \left(\frac{8}{15}+\frac{\left(\sinh^{4}\left(d x +c \right)\right)}{5}-\frac{4 \left(\sinh^{2}\left(d x +c \right)\right)}{15}\right) \cosh \left(d x +c \right)+2 a b \left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(d x +c \right)\right)}{3}\right) \cosh \left(d x +c \right)+a^{2} \cosh \left(d x +c \right)}{d}"," ",0,"1/d*(b^2*(8/15+1/5*sinh(d*x+c)^4-4/15*sinh(d*x+c)^2)*cosh(d*x+c)+2*a*b*(-2/3+1/3*sinh(d*x+c)^2)*cosh(d*x+c)+a^2*cosh(d*x+c))","A"
14,1,79,66,0.031000," ","int((a+b*sinh(d*x+c)^2)^2,x)","\frac{b^{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{\cosh \left(d x +c \right) \sinh \left(d x +c \right)}{2}-\frac{d x}{2}-\frac{c}{2}\right)+a^{2} \left(d x +c \right)}{d}"," ",0,"1/d*(b^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*cosh(d*x+c)*sinh(d*x+c)-1/2*d*x-1/2*c)+a^2*(d*x+c))","A"
15,1,50,50,0.071000," ","int(csch(d*x+c)*(a+b*sinh(d*x+c)^2)^2,x)","\frac{-2 a^{2} \arctanh \left({\mathrm e}^{d x +c}\right)+2 a b \cosh \left(d x +c \right)+b^{2} \left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(d x +c \right)\right)}{3}\right) \cosh \left(d x +c \right)}{d}"," ",0,"1/d*(-2*a^2*arctanh(exp(d*x+c))+2*a*b*cosh(d*x+c)+b^2*(-2/3+1/3*sinh(d*x+c)^2)*cosh(d*x+c))","A"
16,1,52,46,0.069000," ","int(csch(d*x+c)^2*(a+b*sinh(d*x+c)^2)^2,x)","\frac{-a^{2} \coth \left(d x +c \right)+2 a b \left(d x +c \right)+b^{2} \left(\frac{\cosh \left(d x +c \right) \sinh \left(d x +c \right)}{2}-\frac{d x}{2}-\frac{c}{2}\right)}{d}"," ",0,"1/d*(-a^2*coth(d*x+c)+2*a*b*(d*x+c)+b^2*(1/2*cosh(d*x+c)*sinh(d*x+c)-1/2*d*x-1/2*c))","A"
17,1,53,52,0.085000," ","int(csch(d*x+c)^3*(a+b*sinh(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)-4 a b \arctanh \left({\mathrm e}^{d x +c}\right)+b^{2} \cosh \left(d x +c \right)}{d}"," ",0,"1/d*(a^2*(-1/2*csch(d*x+c)*coth(d*x+c)+arctanh(exp(d*x+c)))-4*a*b*arctanh(exp(d*x+c))+b^2*cosh(d*x+c))","A"
18,1,47,38,0.086000," ","int(csch(d*x+c)^4*(a+b*sinh(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 \coth \left(d x +c \right)+b^{2} \left(d x +c \right)}{d}"," ",0,"1/d*(a^2*(2/3-1/3*csch(d*x+c)^2)*coth(d*x+c)-2*a*b*coth(d*x+c)+b^2*(d*x+c))","A"
19,1,222,249,0.133000," ","int(sinh(d*x+c)^4*(a+b*sinh(d*x+c)^2)^3,x)","\frac{b^{3} \left(\left(\frac{\left(\sinh^{9}\left(d x +c \right)\right)}{10}-\frac{9 \left(\sinh^{7}\left(d x +c \right)\right)}{80}+\frac{21 \left(\sinh^{5}\left(d x +c \right)\right)}{160}-\frac{21 \left(\sinh^{3}\left(d x +c \right)\right)}{128}+\frac{63 \sinh \left(d x +c \right)}{256}\right) \cosh \left(d x +c \right)-\frac{63 d x}{256}-\frac{63 c}{256}\right)+3 a \,b^{2} \left(\left(\frac{\left(\sinh^{7}\left(d x +c \right)\right)}{8}-\frac{7 \left(\sinh^{5}\left(d x +c \right)\right)}{48}+\frac{35 \left(\sinh^{3}\left(d x +c \right)\right)}{192}-\frac{35 \sinh \left(d x +c \right)}{128}\right) \cosh \left(d x +c \right)+\frac{35 d x}{128}+\frac{35 c}{128}\right)+3 a^{2} b \left(\left(\frac{\left(\sinh^{5}\left(d x +c \right)\right)}{6}-\frac{5 \left(\sinh^{3}\left(d x +c \right)\right)}{24}+\frac{5 \sinh \left(d x +c \right)}{16}\right) \cosh \left(d x +c \right)-\frac{5 d x}{16}-\frac{5 c}{16}\right)+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)}{d}"," ",0,"1/d*(b^3*((1/10*sinh(d*x+c)^9-9/80*sinh(d*x+c)^7+21/160*sinh(d*x+c)^5-21/128*sinh(d*x+c)^3+63/256*sinh(d*x+c))*cosh(d*x+c)-63/256*d*x-63/256*c)+3*a*b^2*((1/8*sinh(d*x+c)^7-7/48*sinh(d*x+c)^5+35/192*sinh(d*x+c)^3-35/128*sinh(d*x+c))*cosh(d*x+c)+35/128*d*x+35/128*c)+3*a^2*b*((1/6*sinh(d*x+c)^5-5/24*sinh(d*x+c)^3+5/16*sinh(d*x+c))*cosh(d*x+c)-5/16*d*x-5/16*c)+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))","A"
20,1,158,107,0.138000," ","int(sinh(d*x+c)^3*(a+b*sinh(d*x+c)^2)^3,x)","\frac{b^{3} \left(\frac{128}{315}+\frac{\left(\sinh^{8}\left(d x +c \right)\right)}{9}-\frac{8 \left(\sinh^{6}\left(d x +c \right)\right)}{63}+\frac{16 \left(\sinh^{4}\left(d x +c \right)\right)}{105}-\frac{64 \left(\sinh^{2}\left(d x +c \right)\right)}{315}\right) \cosh \left(d x +c \right)+3 a \,b^{2} \left(-\frac{16}{35}+\frac{\left(\sinh^{6}\left(d x +c \right)\right)}{7}-\frac{6 \left(\sinh^{4}\left(d x +c \right)\right)}{35}+\frac{8 \left(\sinh^{2}\left(d x +c \right)\right)}{35}\right) \cosh \left(d x +c \right)+3 a^{2} b \left(\frac{8}{15}+\frac{\left(\sinh^{4}\left(d x +c \right)\right)}{5}-\frac{4 \left(\sinh^{2}\left(d x +c \right)\right)}{15}\right) \cosh \left(d x +c \right)+a^{3} \left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(d x +c \right)\right)}{3}\right) \cosh \left(d x +c \right)}{d}"," ",0,"1/d*(b^3*(128/315+1/9*sinh(d*x+c)^8-8/63*sinh(d*x+c)^6+16/105*sinh(d*x+c)^4-64/315*sinh(d*x+c)^2)*cosh(d*x+c)+3*a*b^2*(-16/35+1/7*sinh(d*x+c)^6-6/35*sinh(d*x+c)^4+8/35*sinh(d*x+c)^2)*cosh(d*x+c)+3*a^2*b*(8/15+1/5*sinh(d*x+c)^4-4/15*sinh(d*x+c)^2)*cosh(d*x+c)+a^3*(-2/3+1/3*sinh(d*x+c)^2)*cosh(d*x+c))","A"
21,1,180,171,0.040000," ","int(sinh(d*x+c)^2*(a+b*sinh(d*x+c)^2)^3,x)","\frac{b^{3} \left(\left(\frac{\left(\sinh^{7}\left(d x +c \right)\right)}{8}-\frac{7 \left(\sinh^{5}\left(d x +c \right)\right)}{48}+\frac{35 \left(\sinh^{3}\left(d x +c \right)\right)}{192}-\frac{35 \sinh \left(d x +c \right)}{128}\right) \cosh \left(d x +c \right)+\frac{35 d x}{128}+\frac{35 c}{128}\right)+3 a \,b^{2} \left(\left(\frac{\left(\sinh^{5}\left(d x +c \right)\right)}{6}-\frac{5 \left(\sinh^{3}\left(d x +c \right)\right)}{24}+\frac{5 \sinh \left(d x +c \right)}{16}\right) \cosh \left(d x +c \right)-\frac{5 d x}{16}-\frac{5 c}{16}\right)+3 a^{2} b \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)+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)}{d}"," ",0,"1/d*(b^3*((1/8*sinh(d*x+c)^7-7/48*sinh(d*x+c)^5+35/192*sinh(d*x+c)^3-35/128*sinh(d*x+c))*cosh(d*x+c)+35/128*d*x+35/128*c)+3*a*b^2*((1/6*sinh(d*x+c)^5-5/24*sinh(d*x+c)^3+5/16*sinh(d*x+c))*cosh(d*x+c)-5/16*d*x-5/16*c)+3*a^2*b*((1/4*sinh(d*x+c)^3-3/8*sinh(d*x+c))*cosh(d*x+c)+3/8*d*x+3/8*c)+a^3*(1/2*cosh(d*x+c)*sinh(d*x+c)-1/2*d*x-1/2*c))","A"
22,1,116,75,0.033000," ","int(sinh(d*x+c)*(a+b*sinh(d*x+c)^2)^3,x)","\frac{b^{3} \left(-\frac{16}{35}+\frac{\left(\sinh^{6}\left(d x +c \right)\right)}{7}-\frac{6 \left(\sinh^{4}\left(d x +c \right)\right)}{35}+\frac{8 \left(\sinh^{2}\left(d x +c \right)\right)}{35}\right) \cosh \left(d x +c \right)+3 a \,b^{2} \left(\frac{8}{15}+\frac{\left(\sinh^{4}\left(d x +c \right)\right)}{5}-\frac{4 \left(\sinh^{2}\left(d x +c \right)\right)}{15}\right) \cosh \left(d x +c \right)+3 a^{2} b \left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(d x +c \right)\right)}{3}\right) \cosh \left(d x +c \right)+a^{3} \cosh \left(d x +c \right)}{d}"," ",0,"1/d*(b^3*(-16/35+1/7*sinh(d*x+c)^6-6/35*sinh(d*x+c)^4+8/35*sinh(d*x+c)^2)*cosh(d*x+c)+3*a*b^2*(8/15+1/5*sinh(d*x+c)^4-4/15*sinh(d*x+c)^2)*cosh(d*x+c)+3*a^2*b*(-2/3+1/3*sinh(d*x+c)^2)*cosh(d*x+c)+a^3*cosh(d*x+c))","A"
23,1,131,120,0.034000," ","int((a+b*sinh(d*x+c)^2)^3,x)","\frac{b^{3} \left(\left(\frac{\left(\sinh^{5}\left(d x +c \right)\right)}{6}-\frac{5 \left(\sinh^{3}\left(d x +c \right)\right)}{24}+\frac{5 \sinh \left(d x +c \right)}{16}\right) \cosh \left(d x +c \right)-\frac{5 d x}{16}-\frac{5 c}{16}\right)+3 a \,b^{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)+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)+a^{3} \left(d x +c \right)}{d}"," ",0,"1/d*(b^3*((1/6*sinh(d*x+c)^5-5/24*sinh(d*x+c)^3+5/16*sinh(d*x+c))*cosh(d*x+c)-5/16*d*x-5/16*c)+3*a*b^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)+3*a^2*b*(1/2*cosh(d*x+c)*sinh(d*x+c)-1/2*d*x-1/2*c)+a^3*(d*x+c))","A"
24,1,86,79,0.074000," ","int(csch(d*x+c)*(a+b*sinh(d*x+c)^2)^3,x)","\frac{-2 a^{3} \arctanh \left({\mathrm e}^{d x +c}\right)+3 a^{2} b \cosh \left(d x +c \right)+3 a \,b^{2} \left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(d x +c \right)\right)}{3}\right) \cosh \left(d x +c \right)+b^{3} \left(\frac{8}{15}+\frac{\left(\sinh^{4}\left(d x +c \right)\right)}{5}-\frac{4 \left(\sinh^{2}\left(d x +c \right)\right)}{15}\right) \cosh \left(d x +c \right)}{d}"," ",0,"1/d*(-2*a^3*arctanh(exp(d*x+c))+3*a^2*b*cosh(d*x+c)+3*a*b^2*(-2/3+1/3*sinh(d*x+c)^2)*cosh(d*x+c)+b^3*(8/15+1/5*sinh(d*x+c)^4-4/15*sinh(d*x+c)^2)*cosh(d*x+c))","A"
25,1,94,129,0.063000," ","int(csch(d*x+c)^2*(a+b*sinh(d*x+c)^2)^3,x)","\frac{-a^{3} \coth \left(d x +c \right)+3 a^{2} b \left(d x +c \right)+3 a \,b^{2} \left(\frac{\cosh \left(d x +c \right) \sinh \left(d x +c \right)}{2}-\frac{d x}{2}-\frac{c}{2}\right)+b^{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)}{d}"," ",0,"1/d*(-a^3*coth(d*x+c)+3*a^2*b*(d*x+c)+3*a*b^2*(1/2*cosh(d*x+c)*sinh(d*x+c)-1/2*d*x-1/2*c)+b^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))","A"
26,1,79,77,0.091000," ","int(csch(d*x+c)^3*(a+b*sinh(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)-6 a^{2} b \arctanh \left({\mathrm e}^{d x +c}\right)+3 a \,b^{2} \cosh \left(d x +c \right)+b^{3} \left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(d x +c \right)\right)}{3}\right) \cosh \left(d x +c \right)}{d}"," ",0,"1/d*(a^3*(-1/2*csch(d*x+c)*coth(d*x+c)+arctanh(exp(d*x+c)))-6*a^2*b*arctanh(exp(d*x+c))+3*a*b^2*cosh(d*x+c)+b^3*(-2/3+1/3*sinh(d*x+c)^2)*cosh(d*x+c))","A"
27,1,77,105,0.075000," ","int(csch(d*x+c)^4*(a+b*sinh(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 \coth \left(d x +c \right)+3 a \,b^{2} \left(d x +c \right)+b^{3} \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^3*(2/3-1/3*csch(d*x+c)^2)*coth(d*x+c)-3*a^2*b*coth(d*x+c)+3*a*b^2*(d*x+c)+b^3*(1/2*cosh(d*x+c)*sinh(d*x+c)-1/2*d*x-1/2*c))","A"
28,1,448,97,0.085000," ","int(sinh(d*x+c)^7/(a+b*sinh(d*x+c)^2),x)","-\frac{1}{5 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{5}}-\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{4}}+\frac{a}{2 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}+\frac{3}{8 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}+\frac{a}{3 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{3}}-\frac{1}{12 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{3}}-\frac{a^{2}}{d \,b^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}-\frac{a}{2 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}-\frac{3}{8 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}-\frac{a^{3} \arctan \left(\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 a +4 b}{4 \sqrt{a b -b^{2}}}\right)}{d \,b^{3} \sqrt{a b -b^{2}}}+\frac{1}{5 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{5}}-\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{4}}+\frac{a}{2 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{3}{8 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{a}{3 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}+\frac{1}{12 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}+\frac{a^{2}}{d \,b^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}+\frac{a}{2 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}+\frac{3}{8 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}"," ",0,"-1/5/d/b/(tanh(1/2*d*x+1/2*c)-1)^5-1/2/d/b/(tanh(1/2*d*x+1/2*c)-1)^4+1/2/d/b^2/(tanh(1/2*d*x+1/2*c)-1)^2*a+3/8/d/b/(tanh(1/2*d*x+1/2*c)-1)^2+1/3/d/b^2/(tanh(1/2*d*x+1/2*c)-1)^3*a-1/12/d/b/(tanh(1/2*d*x+1/2*c)-1)^3-1/d/b^3/(tanh(1/2*d*x+1/2*c)-1)*a^2-1/2/d/b^2/(tanh(1/2*d*x+1/2*c)-1)*a-3/8/d/b/(tanh(1/2*d*x+1/2*c)-1)-1/d*a^3/b^3/(a*b-b^2)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a-2*a+4*b)/(a*b-b^2)^(1/2))+1/5/d/b/(tanh(1/2*d*x+1/2*c)+1)^5-1/2/d/b/(tanh(1/2*d*x+1/2*c)+1)^4+1/2/d/b^2/(tanh(1/2*d*x+1/2*c)+1)^2*a+3/8/d/b/(tanh(1/2*d*x+1/2*c)+1)^2-1/3/d/b^2/(tanh(1/2*d*x+1/2*c)+1)^3*a+1/12/d/b/(tanh(1/2*d*x+1/2*c)+1)^3+1/d/b^3/(tanh(1/2*d*x+1/2*c)+1)*a^2+1/2/d/b^2/(tanh(1/2*d*x+1/2*c)+1)*a+3/8/d/b/(tanh(1/2*d*x+1/2*c)+1)","B"
29,1,670,107,0.108000," ","int(sinh(d*x+c)^6/(a+b*sinh(d*x+c)^2),x)","\frac{1}{4 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{4}}+\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{3}}-\frac{a}{2 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}-\frac{1}{8 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}-\frac{a}{2 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}-\frac{3}{8 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right) a^{2}}{d \,b^{3}}-\frac{a \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{2 d \,b^{2}}-\frac{3 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{8 d b}+\frac{a^{3} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \,b^{3} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{a^{3} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \,b^{2} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{a^{3} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \,b^{3} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{a^{3} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \,b^{2} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{1}{4 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{4}}+\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}+\frac{a}{2 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{1}{8 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{a}{2 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{3}{8 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right) a^{2}}{d \,b^{3}}+\frac{a \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{2 d \,b^{2}}+\frac{3 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{8 d b}"," ",0,"1/4/d/b/(tanh(1/2*d*x+1/2*c)-1)^4+1/2/d/b/(tanh(1/2*d*x+1/2*c)-1)^3-1/2/d/b^2/(tanh(1/2*d*x+1/2*c)-1)^2*a-1/8/d/b/(tanh(1/2*d*x+1/2*c)-1)^2-1/2/d/b^2/(tanh(1/2*d*x+1/2*c)-1)*a-3/8/d/b/(tanh(1/2*d*x+1/2*c)-1)-1/d/b^3*ln(tanh(1/2*d*x+1/2*c)-1)*a^2-1/2/d*a/b^2*ln(tanh(1/2*d*x+1/2*c)-1)-3/8/d/b*ln(tanh(1/2*d*x+1/2*c)-1)+1/d*a^3/b^3/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+1/d*a^3/b^2/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-1/d*a^3/b^3/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+1/d*a^3/b^2/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-1/4/d/b/(tanh(1/2*d*x+1/2*c)+1)^4+1/2/d/b/(tanh(1/2*d*x+1/2*c)+1)^3+1/2/d/b^2/(tanh(1/2*d*x+1/2*c)+1)^2*a+1/8/d/b/(tanh(1/2*d*x+1/2*c)+1)^2-1/2/d/b^2/(tanh(1/2*d*x+1/2*c)+1)*a-3/8/d/b/(tanh(1/2*d*x+1/2*c)+1)+1/d/b^3*ln(tanh(1/2*d*x+1/2*c)+1)*a^2+1/2/d*a/b^2*ln(tanh(1/2*d*x+1/2*c)+1)+3/8/d/b*ln(tanh(1/2*d*x+1/2*c)+1)","B"
30,1,227,69,0.067000," ","int(sinh(d*x+c)^5/(a+b*sinh(d*x+c)^2),x)","-\frac{1}{3 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{3}}-\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}+\frac{a}{d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}+\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}+\frac{a^{2} \arctan \left(\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 a +4 b}{4 \sqrt{a b -b^{2}}}\right)}{d \,b^{2} \sqrt{a b -b^{2}}}+\frac{1}{3 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}-\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{a}{d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}"," ",0,"-1/3/d/b/(tanh(1/2*d*x+1/2*c)-1)^3-1/2/d/b/(tanh(1/2*d*x+1/2*c)-1)^2+1/d/b^2/(tanh(1/2*d*x+1/2*c)-1)*a+1/2/d/b/(tanh(1/2*d*x+1/2*c)-1)+1/d*a^2/b^2/(a*b-b^2)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a-2*a+4*b)/(a*b-b^2)^(1/2))+1/3/d/b/(tanh(1/2*d*x+1/2*c)+1)^3-1/2/d/b/(tanh(1/2*d*x+1/2*c)+1)^2-1/d/b^2/(tanh(1/2*d*x+1/2*c)+1)*a-1/2/d/b/(tanh(1/2*d*x+1/2*c)+1)","B"
31,1,454,67,0.071000," ","int(sinh(d*x+c)^4/(a+b*sinh(d*x+c)^2),x)","\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}+\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}+\frac{a \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,b^{2}}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{2 d b}-\frac{a^{2} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \,b^{2} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{a^{2} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d b \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{a^{2} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \,b^{2} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{a^{2} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d b \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{a \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,b^{2}}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{2 d b}"," ",0,"1/2/d/b/(tanh(1/2*d*x+1/2*c)-1)^2+1/2/d/b/(tanh(1/2*d*x+1/2*c)-1)+1/d*a/b^2*ln(tanh(1/2*d*x+1/2*c)-1)+1/2/d/b*ln(tanh(1/2*d*x+1/2*c)-1)-1/d*a^2/b^2/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-1/d*a^2/b/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+1/d*a^2/b^2/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-1/d*a^2/b/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-1/2/d/b/(tanh(1/2*d*x+1/2*c)+1)^2+1/2/d/b/(tanh(1/2*d*x+1/2*c)+1)-1/d*a/b^2*ln(tanh(1/2*d*x+1/2*c)+1)-1/2/d/b*ln(tanh(1/2*d*x+1/2*c)+1)","B"
32,1,98,48,0.067000," ","int(sinh(d*x+c)^3/(a+b*sinh(d*x+c)^2),x)","-\frac{a \arctan \left(\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 a +4 b}{4 \sqrt{a b -b^{2}}}\right)}{d b \sqrt{a b -b^{2}}}+\frac{1}{d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{1}{d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}"," ",0,"-1/d*a/b/(a*b-b^2)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a-2*a+4*b)/(a*b-b^2)^(1/2))+1/d/b/(tanh(1/2*d*x+1/2*c)+1)-1/d/b/(tanh(1/2*d*x+1/2*c)-1)","B"
33,1,312,42,0.060000," ","int(sinh(d*x+c)^2/(a+b*sinh(d*x+c)^2),x)","-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d b}+\frac{a \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d b \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{a \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{a \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d b \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{a \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d b}"," ",0,"-1/d/b*ln(tanh(1/2*d*x+1/2*c)-1)+1/d*a/b/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+1/d*a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-1/d*a/b/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+1/d*a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+1/d/b*ln(tanh(1/2*d*x+1/2*c)+1)","B"
34,1,51,32,0.038000," ","int(sinh(d*x+c)/(a+b*sinh(d*x+c)^2),x)","\frac{\arctan \left(\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 a +4 b}{4 \sqrt{a b -b^{2}}}\right)}{d \sqrt{a b -b^{2}}}"," ",0,"1/d/(a*b-b^2)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a-2*a+4*b)/(a*b-b^2)^(1/2))","A"
35,1,267,32,0.078000," ","int(1/(a+b*sinh(d*x+c)^2),x)","-\frac{\arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{\arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right) b}{d \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{\arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{\arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right) b}{d \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}"," ",0,"-1/d/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-1/d/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))*b+1/d/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-1/d/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))*b","B"
36,1,74,52,0.097000," ","int(csch(d*x+c)/(a+b*sinh(d*x+c)^2),x)","-\frac{b \arctan \left(\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 a +4 b}{4 \sqrt{a b -b^{2}}}\right)}{d a \sqrt{a b -b^{2}}}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d a}"," ",0,"-1/d/a*b/(a*b-b^2)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a-2*a+4*b)/(a*b-b^2)^(1/2))+1/d/a*ln(tanh(1/2*d*x+1/2*c))","A"
37,1,319,49,0.110000," ","int(csch(d*x+c)^2/(a+b*sinh(d*x+c)^2),x)","-\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{2 d a}+\frac{b \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d a \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{\arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right) b^{2}}{d a \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{b \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d a \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{\arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right) b^{2}}{d a \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{1}{2 d a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}"," ",0,"-1/2/d/a*tanh(1/2*d*x+1/2*c)+1/d*b/a/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+1/d/a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))*b^2-1/d*b/a/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+1/d/a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))*b^2-1/2/d/a/tanh(1/2*d*x+1/2*c)","B"
38,1,133,76,0.134000," ","int(csch(d*x+c)^3/(a+b*sinh(d*x+c)^2),x)","\frac{\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)}{8 d a}+\frac{b^{2} \arctan \left(\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 a +4 b}{4 \sqrt{a b -b^{2}}}\right)}{d \,a^{2} \sqrt{a b -b^{2}}}-\frac{1}{8 d a \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)}{2 d a}-\frac{b \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{2}}"," ",0,"1/8/d/a*tanh(1/2*d*x+1/2*c)^2+1/d*b^2/a^2/(a*b-b^2)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a-2*a+4*b)/(a*b-b^2)^(1/2))-1/8/d/a/tanh(1/2*d*x+1/2*c)^2-1/2/d/a*ln(tanh(1/2*d*x+1/2*c))-1/d/a^2*b*ln(tanh(1/2*d*x+1/2*c))","A"
39,1,401,68,0.133000," ","int(csch(d*x+c)^4/(a+b*sinh(d*x+c)^2),x)","-\frac{\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)}{24 d a}+\frac{3 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{8 d a}+\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b}{2 d \,a^{2}}-\frac{b^{2} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \,a^{2} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{b^{3} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \,a^{2} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{b^{2} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \,a^{2} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{b^{3} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \,a^{2} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{1}{24 d a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)^{3}}+\frac{3}{8 d a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}+\frac{b}{2 d \,a^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}"," ",0,"-1/24/d/a*tanh(1/2*d*x+1/2*c)^3+3/8/d/a*tanh(1/2*d*x+1/2*c)+1/2/d/a^2*tanh(1/2*d*x+1/2*c)*b-1/d*b^2/a^2/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-1/d*b^3/a^2/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+1/d*b^2/a^2/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-1/d*b^3/a^2/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-1/24/d/a/tanh(1/2*d*x+1/2*c)^3+3/8/d/a/tanh(1/2*d*x+1/2*c)+1/2/d*b/a^2/tanh(1/2*d*x+1/2*c)","B"
40,1,232,116,0.129000," ","int(csch(d*x+c)^5/(a+b*sinh(d*x+c)^2),x)","\frac{\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)}{64 d a}-\frac{\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)}{8 d a}-\frac{\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{8 d \,a^{2}}-\frac{b^{3} \arctan \left(\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 a +4 b}{4 \sqrt{a b -b^{2}}}\right)}{d \,a^{3} \sqrt{a b -b^{2}}}-\frac{1}{64 d a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)^{4}}+\frac{1}{8 d a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)^{2}}+\frac{b}{8 d \,a^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)^{2}}+\frac{3 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{8 d a}+\frac{b \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{2 d \,a^{2}}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right) b^{2}}{d \,a^{3}}"," ",0,"1/64/d/a*tanh(1/2*d*x+1/2*c)^4-1/8/d/a*tanh(1/2*d*x+1/2*c)^2-1/8/d/a^2*tanh(1/2*d*x+1/2*c)^2*b-1/d/a^3*b^3/(a*b-b^2)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a-2*a+4*b)/(a*b-b^2)^(1/2))-1/64/d/a/tanh(1/2*d*x+1/2*c)^4+1/8/d/a/tanh(1/2*d*x+1/2*c)^2+1/8/d/a^2/tanh(1/2*d*x+1/2*c)^2*b+3/8/d/a*ln(tanh(1/2*d*x+1/2*c))+1/2/d/a^2*b*ln(tanh(1/2*d*x+1/2*c))+1/d/a^3*ln(tanh(1/2*d*x+1/2*c))*b^2","A"
41,1,519,98,0.142000," ","int(csch(d*x+c)^6/(a+b*sinh(d*x+c)^2),x)","-\frac{\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)}{160 d a}+\frac{5 \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{96 d a}+\frac{\left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{24 d \,a^{2}}-\frac{5 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{16 d a}-\frac{3 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b}{8 d \,a^{2}}-\frac{b^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{2 d \,a^{3}}+\frac{b^{3} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \,a^{3} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{b^{4} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \,a^{3} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{b^{3} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \,a^{3} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{b^{4} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \,a^{3} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{1}{160 d a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)^{5}}+\frac{5}{96 d a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)^{3}}+\frac{b}{24 d \,a^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)^{3}}-\frac{5}{16 d a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}-\frac{3 b}{8 d \,a^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}-\frac{b^{2}}{2 d \,a^{3} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}"," ",0,"-1/160/d/a*tanh(1/2*d*x+1/2*c)^5+5/96/d/a*tanh(1/2*d*x+1/2*c)^3+1/24/d/a^2*tanh(1/2*d*x+1/2*c)^3*b-5/16/d/a*tanh(1/2*d*x+1/2*c)-3/8/d/a^2*tanh(1/2*d*x+1/2*c)*b-1/2/d/a^3*b^2*tanh(1/2*d*x+1/2*c)+1/d/a^3*b^3/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+1/d/a^3*b^4/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-1/d/a^3*b^3/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+1/d/a^3*b^4/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-1/160/d/a/tanh(1/2*d*x+1/2*c)^5+5/96/d/a/tanh(1/2*d*x+1/2*c)^3+1/24/d/a^2/tanh(1/2*d*x+1/2*c)^3*b-5/16/d/a/tanh(1/2*d*x+1/2*c)-3/8/d*b/a^2/tanh(1/2*d*x+1/2*c)-1/2/d/a^3/tanh(1/2*d*x+1/2*c)*b^2","B"
42,1,798,90,0.083000," ","int(sinh(d*x+c)^4/(a+b*sinh(d*x+c)^2)^2,x)","-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,b^{2}}-\frac{a \left(\tanh^{3}\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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right) \left(a -b \right)}-\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d b \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right) \left(a -b \right)}+\frac{a^{2} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \,b^{2} \left(a -b \right) \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{a^{2} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d b \left(a -b \right) \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{a^{2} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \,b^{2} \left(a -b \right) \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{a^{2} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d b \left(a -b \right) \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{3 a \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{2 d b \left(a -b \right) \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{3 a \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{2 d \left(a -b \right) \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{3 a \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{2 d b \left(a -b \right) \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{3 a \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{2 d \left(a -b \right) \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,b^{2}}"," ",0,"-1/d/b^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-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)/(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-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)/(a-b)*tanh(1/2*d*x+1/2*c)+1/d*a^2/b^2/(a-b)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+1/d*a^2/b/(a-b)/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-1/d*a^2/b^2/(a-b)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+1/d*a^2/b/(a-b)/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-3/2/d*a/b/(a-b)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-3/2/d*a/(a-b)/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+3/2/d*a/b/(a-b)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-3/2/d*a/(a-b)/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+1/d/b^2*ln(tanh(1/2*d*x+1/2*c)+1)","B"
43,1,341,78,0.063000," ","int(sinh(d*x+c)^3/(a+b*sinh(d*x+c)^2)^2,x)","\frac{16 a \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(16 a b -16 b^{2}\right) \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)}-\frac{32 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{d \left(16 a b -16 b^{2}\right) \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)}-\frac{16 a}{d \left(16 a b -16 b^{2}\right) \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)}+\frac{8 \arctan \left(\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 a +4 b}{4 \sqrt{a b -b^{2}}}\right) a}{d \left(16 a b -16 b^{2}\right) \sqrt{a b -b^{2}}}-\frac{16 \arctan \left(\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 a +4 b}{4 \sqrt{a b -b^{2}}}\right) b}{d \left(16 a b -16 b^{2}\right) \sqrt{a b -b^{2}}}"," ",0,"16/d/(16*a*b-16*b^2)/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)*a*tanh(1/2*d*x+1/2*c)^2-32/d/(16*a*b-16*b^2)/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)*tanh(1/2*d*x+1/2*c)^2*b-16/d/(16*a*b-16*b^2)/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)*a+8/d/(16*a*b-16*b^2)/(a*b-b^2)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a-2*a+4*b)/(a*b-b^2)^(1/2))*a-16/d/(16*a*b-16*b^2)/(a*b-b^2)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a-2*a+4*b)/(a*b-b^2)^(1/2))*b","B"
44,1,428,72,0.072000," ","int(sinh(d*x+c)^2/(a+b*sinh(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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right) \left(a -b \right)}+\frac{\arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{2 d \left(a -b \right) \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{\arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right) b}{2 d \left(a -b \right) \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{\arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{2 d \left(a -b \right) \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{\arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right) b}{2 d \left(a -b \right) \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}"," ",0,"1/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*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-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)/(a-b)*tanh(1/2*d*x+1/2*c)+1/2/d/(a-b)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+1/2/d/(a-b)/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))*b-1/2/d/(a-b)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+1/2/d/(a-b)/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))*b","B"
45,1,256,69,0.049000," ","int(sinh(d*x+c)/(a+b*sinh(d*x+c)^2)^2,x)","-\frac{\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right) \left(a -b \right)}+\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right) \left(a -b \right) a}+\frac{1}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right) \left(a -b \right)}+\frac{\arctan \left(\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 a +4 b}{4 \sqrt{a b -b^{2}}}\right)}{2 d \left(a -b \right) \sqrt{a b -b^{2}}}"," ",0,"-1/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)/(a-b)*tanh(1/2*d*x+1/2*c)^2+2/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)/(a-b)/a*tanh(1/2*d*x+1/2*c)^2*b+1/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)/(a-b)+1/2/d/(a-b)/(a*b-b^2)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a-2*a+4*b)/(a*b-b^2)^(1/2))","B"
46,1,749,83,0.086000," ","int(1/(a+b*sinh(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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right) a \left(a -b \right)}-\frac{\arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \left(a -b \right) \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{\arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right) b}{d \left(a -b \right) \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{\arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \left(a -b \right) \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{\arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right) b}{d \left(a -b \right) \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{b \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{2 d \left(a -b \right) a \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{\arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right) b^{2}}{2 d \left(a -b \right) a \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{b \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{2 d \left(a -b \right) a \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{\arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right) b^{2}}{2 d \left(a -b \right) a \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}"," ",0,"-1/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)*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-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)*b/a/(a-b)*tanh(1/2*d*x+1/2*c)-1/d/(a-b)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-1/d/(a-b)/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))*b+1/d/(a-b)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-1/d/(a-b)/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))*b+1/2/d/(a-b)*b/a/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+1/2/d/(a-b)/a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))*b^2-1/2/d/(a-b)*b/a/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+1/2/d/(a-b)/a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))*b^2","B"
47,1,350,98,0.124000," ","int(csch(d*x+c)/(a+b*sinh(d*x+c)^2)^2,x)","\frac{\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right) \left(a -b \right) a}-\frac{2 b^{2} \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right) \left(a -b \right)}-\frac{b}{d a \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right) \left(a -b \right)}-\frac{3 b \arctan \left(\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 a +4 b}{4 \sqrt{a b -b^{2}}}\right)}{2 d a \left(a -b \right) \sqrt{a b -b^{2}}}+\frac{b^{2} \arctan \left(\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 a +4 b}{4 \sqrt{a b -b^{2}}}\right)}{d \,a^{2} \left(a -b \right) \sqrt{a b -b^{2}}}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{2}}"," ",0,"1/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)/(a-b)/a*tanh(1/2*d*x+1/2*c)^2*b-2/d/a^2*b^2/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)/(a-b)*tanh(1/2*d*x+1/2*c)^2-1/d/a*b/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)/(a-b)-3/2/d/a*b/(a-b)/(a*b-b^2)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a-2*a+4*b)/(a*b-b^2)^(1/2))+1/d/a^2*b^2/(a-b)/(a*b-b^2)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a-2*a+4*b)/(a*b-b^2)^(1/2))+1/d/a^2*ln(tanh(1/2*d*x+1/2*c))","B"
48,1,810,130,0.133000," ","int(csch(d*x+c)^2/(a+b*sinh(d*x+c)^2)^2,x)","-\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{2 d \,a^{2}}+\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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right) \left(a -b \right)}+\frac{2 b \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \left(a -b \right) a \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{2 \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right) b^{2}}{d \left(a -b \right) a \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{2 b \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \left(a -b \right) a \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{2 \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right) b^{2}}{d \left(a -b \right) a \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{3 b^{2} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{2 d \,a^{2} \left(a -b \right) \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{3 b^{3} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{2 d \,a^{2} \left(a -b \right) \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{3 b^{2} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{2 d \,a^{2} \left(a -b \right) \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{3 b^{3} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{2 d \,a^{2} \left(a -b \right) \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{1}{2 d \,a^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}"," ",0,"-1/2/d/a^2*tanh(1/2*d*x+1/2*c)+1/d/a^2*b^2/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)/(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-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)/(a-b)*tanh(1/2*d*x+1/2*c)+2/d/(a-b)*b/a/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+2/d/(a-b)/a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))*b^2-2/d/(a-b)*b/a/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+2/d/(a-b)/a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))*b^2-3/2/d/a^2*b^2/(a-b)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-3/2/d/a^2*b^3/(a-b)/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+3/2/d/a^2*b^2/(a-b)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-3/2/d/a^2*b^3/(a-b)/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-1/2/d/a^2/tanh(1/2*d*x+1/2*c)","B"
49,1,415,145,0.151000," ","int(csch(d*x+c)^3/(a+b*sinh(d*x+c)^2)^2,x)","\frac{\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)}{8 d \,a^{2}}-\frac{b^{2} \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right) \left(a -b \right)}+\frac{2 b^{3} \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right) \left(a -b \right)}+\frac{b^{2}}{d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right) \left(a -b \right)}+\frac{5 b^{2} \arctan \left(\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 a +4 b}{4 \sqrt{a b -b^{2}}}\right)}{2 d \,a^{2} \left(a -b \right) \sqrt{a b -b^{2}}}-\frac{2 b^{3} \arctan \left(\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 a +4 b}{4 \sqrt{a b -b^{2}}}\right)}{d \,a^{3} \left(a -b \right) \sqrt{a b -b^{2}}}-\frac{1}{8 d \,a^{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)}{2 d \,a^{2}}-\frac{2 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{d \,a^{3}}"," ",0,"1/8/d*tanh(1/2*d*x+1/2*c)^2/a^2-1/d/a^2*b^2/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)/(a-b)*tanh(1/2*d*x+1/2*c)^2+2/d*b^3/a^3/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)/(a-b)*tanh(1/2*d*x+1/2*c)^2+1/d*b^2/a^2/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)/(a-b)+5/2/d/a^2*b^2/(a-b)/(a*b-b^2)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a-2*a+4*b)/(a*b-b^2)^(1/2))-2/d*b^3/a^3/(a-b)/(a*b-b^2)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a-2*a+4*b)/(a*b-b^2)^(1/2))-1/8/d/a^2/tanh(1/2*d*x+1/2*c)^2-1/2/d/a^2*ln(tanh(1/2*d*x+1/2*c))-2/d/a^3*ln(tanh(1/2*d*x+1/2*c))*b","B"
50,1,890,158,0.159000," ","int(csch(d*x+c)^4/(a+b*sinh(d*x+c)^2)^2,x)","-\frac{\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)}{24 d \,a^{2}}+\frac{3 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{8 d \,a^{2}}+\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b}{d \,a^{3}}-\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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right) \left(a -b \right)}-\frac{3 b^{2} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \,a^{2} \left(a -b \right) \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{3 b^{3} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \,a^{2} \left(a -b \right) \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{3 b^{2} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \,a^{2} \left(a -b \right) \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{3 b^{3} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \,a^{2} \left(a -b \right) \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{5 b^{3} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{2 d \,a^{3} \left(a -b \right) \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{5 b^{4} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{2 d \,a^{3} \left(a -b \right) \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{5 b^{3} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{2 d \,a^{3} \left(a -b \right) \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{5 b^{4} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{2 d \,a^{3} \left(a -b \right) \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{1}{24 d \,a^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)^{3}}+\frac{3}{8 d \,a^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}+\frac{b}{d \,a^{3} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}"," ",0,"-1/24/d/a^2*tanh(1/2*d*x+1/2*c)^3+3/8/d/a^2*tanh(1/2*d*x+1/2*c)+1/d/a^3*tanh(1/2*d*x+1/2*c)*b-1/d/a^3*b^3/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)/(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-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)/(a-b)*tanh(1/2*d*x+1/2*c)-3/d/a^2*b^2/(a-b)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-3/d/a^2*b^3/(a-b)/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+3/d/a^2*b^2/(a-b)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-3/d/a^2*b^3/(a-b)/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+5/2/d/a^3*b^3/(a-b)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+5/2/d/a^3*b^4/(a-b)/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-5/2/d/a^3*b^3/(a-b)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+5/2/d/a^3*b^4/(a-b)/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-1/24/d/a^2/tanh(1/2*d*x+1/2*c)^3+3/8/d/a^2/tanh(1/2*d*x+1/2*c)+1/d/a^3/tanh(1/2*d*x+1/2*c)*b","B"
51,1,768,110,0.082000," ","int(sinh(d*x+c)^4/(a+b*sinh(d*x+c)^2)^3,x)","-\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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}+\frac{11 \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}-\frac{5 \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}+\frac{11 \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}-\frac{5 \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}-\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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}-\frac{3 \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{8 d \left(a^{2}-2 a b +b^{2}\right) \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{3 \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right) b}{8 d \left(a^{2}-2 a b +b^{2}\right) \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{3 \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{8 d \left(a^{2}-2 a b +b^{2}\right) \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{3 \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right) b}{8 d \left(a^{2}-2 a b +b^{2}\right) \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}"," ",0,"-3/4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^7+11/4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^5*a-5/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^5*b+11/4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^3*a-5/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^3*b-3/4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)-3/8/d/(a^2-2*a*b+b^2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-3/8/d/(a^2-2*a*b+b^2)/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))*b+3/8/d/(a^2-2*a*b+b^2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-3/8/d/(a^2-2*a*b+b^2)/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))*b","B"
52,1,961,121,0.076000," ","int(sinh(d*x+c)^3/(a+b*sinh(d*x+c)^2)^3,x)","\frac{a^{2} \left(\tanh^{6}\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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} b \left(a^{2}-2 a b +b^{2}\right)}-\frac{a \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}-\frac{3 a^{2} \left(\tanh^{4}\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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} b \left(a^{2}-2 a b +b^{2}\right)}+\frac{a \left(\tanh^{4}\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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}+\frac{2 b \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}-\frac{4 b^{2} \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a \left(a^{2}-2 a b +b^{2}\right)}+\frac{3 \left(\tanh^{2}\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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} b \left(a^{2}-2 a b +b^{2}\right)}+\frac{\left(\tanh^{2}\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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}-\frac{4 b \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}-\frac{a^{2}}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} b \left(a^{2}-2 a b +b^{2}\right)}-\frac{a}{2 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}+\frac{\arctan \left(\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 a +4 b}{4 \sqrt{a b -b^{2}}}\right) a}{8 d b \left(a^{2}-2 a b +b^{2}\right) \sqrt{a b -b^{2}}}-\frac{\arctan \left(\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 a +4 b}{4 \sqrt{a b -b^{2}}}\right)}{2 d \left(a^{2}-2 a b +b^{2}\right) \sqrt{a b -b^{2}}}"," ",0,"1/4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*a^2/b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^6-1/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^6-3/4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*a^2/b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^4+1/2/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^4+2/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^4-4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a*b^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^4+3/4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^2*a^2+1/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^2*a-4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^2-1/4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*a^2/b/(a^2-2*a*b+b^2)-1/2/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*a/(a^2-2*a*b+b^2)+1/8/d/b/(a^2-2*a*b+b^2)/(a*b-b^2)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a-2*a+4*b)/(a*b-b^2)^(1/2))*a-1/2/d/(a^2-2*a*b+b^2)/(a*b-b^2)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a-2*a+4*b)/(a*b-b^2)^(1/2))","B"
53,1,1408,125,0.081000," ","int(sinh(d*x+c)^2/(a+b*sinh(d*x+c)^2)^3,x)","\frac{a \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}-\frac{\left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}-\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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}+\frac{9 \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}+\frac{\left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b^{2}}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a \left(a^{2}-2 a b +b^{2}\right)}-\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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}+\frac{9 \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}+\frac{\left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b^{2}}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a \left(a^{2}-2 a b +b^{2}\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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}-\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}+\frac{\arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{2 d \left(a^{2}-2 a b +b^{2}\right) \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{\arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right) b}{2 d \left(a^{2}-2 a b +b^{2}\right) \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{\arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{2 d \left(a^{2}-2 a b +b^{2}\right) \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{\arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right) b}{2 d \left(a^{2}-2 a b +b^{2}\right) \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{b \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{8 d \left(a^{2}-2 a b +b^{2}\right) a \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{\arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right) b^{2}}{8 d \left(a^{2}-2 a b +b^{2}\right) a \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{b \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{8 d \left(a^{2}-2 a b +b^{2}\right) a \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{\arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right) b^{2}}{8 d \left(a^{2}-2 a b +b^{2}\right) a \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}"," ",0,"1/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^7-1/4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^7*b-1/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/(a^2-2*a*b+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-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^5*b+1/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^5*b^2-1/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^3*a+9/4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^3*b+1/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^3*b^2+1/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)-1/4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)*b+1/2/d/(a^2-2*a*b+b^2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+1/2/d/(a^2-2*a*b+b^2)/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))*b-1/2/d/(a^2-2*a*b+b^2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+1/2/d/(a^2-2*a*b+b^2)/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))*b-1/8/d/(a^2-2*a*b+b^2)*b/a/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-1/8/d/(a^2-2*a*b+b^2)/a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))*b^2+1/8/d/(a^2-2*a*b+b^2)*b/a/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-1/8/d/(a^2-2*a*b+b^2)/a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))*b^2","B"
54,1,964,104,0.056000," ","int(sinh(d*x+c)/(a+b*sinh(d*x+c)^2)^3,x)","-\frac{5 a \left(\tanh^{6}\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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}+\frac{4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}-\frac{2 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b^{2}}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a \left(a^{2}-2 a b +b^{2}\right)}+\frac{15 a \left(\tanh^{4}\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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}-\frac{23 b \left(\tanh^{4}\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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}+\frac{14 b^{2} \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a \left(a^{2}-2 a b +b^{2}\right)}-\frac{4 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b^{3}}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a^{2} \left(a^{2}-2 a b +b^{2}\right)}-\frac{15 \left(\tanh^{2}\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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}+\frac{8 b \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}-\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b^{2}}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a \left(a^{2}-2 a b +b^{2}\right)}+\frac{5 a}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}-\frac{b}{2 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}+\frac{3 \arctan \left(\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 a +4 b}{4 \sqrt{a b -b^{2}}}\right)}{8 d \left(a^{2}-2 a b +b^{2}\right) \sqrt{a b -b^{2}}}"," ",0,"-5/4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^6+4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^6*b-2/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^6*b^2+15/4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^4-23/2/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^4+14/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a*b^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^4-4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^4*b^3-15/4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^2*a+8/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^2-2/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^2*b^2+5/4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*a/(a^2-2*a*b+b^2)-1/2/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/(a^2-2*a*b+b^2)*b+3/8/d/(a^2-2*a*b+b^2)/(a*b-b^2)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a-2*a+4*b)/(a*b-b^2)^(1/2))","B"
55,1,1768,140,0.109000," ","int(1/(a+b*sinh(d*x+c)^2)^3,x)","-\frac{2 \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}+\frac{5 b^{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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a \left(a^{2}-2 a b +b^{2}\right)}+\frac{2 \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}-\frac{29 \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b^{2}}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a \left(a^{2}-2 a b +b^{2}\right)}+\frac{3 b^{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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a^{2} \left(a^{2}-2 a b +b^{2}\right)}+\frac{2 \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}-\frac{29 \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b^{2}}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a \left(a^{2}-2 a b +b^{2}\right)}+\frac{3 b^{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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a^{2} \left(a^{2}-2 a b +b^{2}\right)}-\frac{2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}+\frac{5 b^{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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a \left(a^{2}-2 a b +b^{2}\right)}-\frac{\arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \left(a^{2}-2 a b +b^{2}\right) \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{b \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \left(a^{2}-2 a b +b^{2}\right) a \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{3 \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right) b^{2}}{8 d \,a^{2} \left(a^{2}-2 a b +b^{2}\right) \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{\arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right) b}{d \left(a^{2}-2 a b +b^{2}\right) \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{\arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right) b^{2}}{d \left(a^{2}-2 a b +b^{2}\right) a \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{3 \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right) b^{3}}{8 d \,a^{2} \left(a^{2}-2 a b +b^{2}\right) \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{\arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \left(a^{2}-2 a b +b^{2}\right) \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{b \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \left(a^{2}-2 a b +b^{2}\right) a \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{3 \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right) b^{2}}{8 d \,a^{2} \left(a^{2}-2 a b +b^{2}\right) \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{\arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right) b}{d \left(a^{2}-2 a b +b^{2}\right) \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{\arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right) b^{2}}{d \left(a^{2}-2 a b +b^{2}\right) a \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{3 \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right) b^{3}}{8 d \,a^{2} \left(a^{2}-2 a b +b^{2}\right) \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}"," ",0,"-2/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^7*b+5/4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*b^2/a/(a^2-2*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-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^5*b-29/4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^5*b^2+3/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a^2*b^3/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^5+2/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^3*b-29/4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^3*b^2+3/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a^2*b^3/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^3-2/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)*b+5/4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*b^2/a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)-1/d/(a^2-2*a*b+b^2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+1/d/(a^2-2*a*b+b^2)*b/a/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-3/8/d/a^2/(a^2-2*a*b+b^2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))*b^2-1/d/(a^2-2*a*b+b^2)/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))*b+1/d/(a^2-2*a*b+b^2)/a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))*b^2-3/8/d/a^2/(a^2-2*a*b+b^2)/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))*b^3+1/d/(a^2-2*a*b+b^2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-1/d/(a^2-2*a*b+b^2)*b/a/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+3/8/d/a^2/(a^2-2*a*b+b^2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))*b^2-1/d/(a^2-2*a*b+b^2)/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))*b+1/d/(a^2-2*a*b+b^2)/a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))*b^2-3/8/d/a^2/(a^2-2*a*b+b^2)/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))*b^3","B"
56,1,1145,152,0.131000," ","int(csch(d*x+c)/(a+b*sinh(d*x+c)^2)^3,x)","\frac{9 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}-\frac{7 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b^{2}}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a \left(a^{2}-2 a b +b^{2}\right)}+\frac{4 b^{3} \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}-\frac{27 b \left(\tanh^{4}\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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}+\frac{45 b^{2} \left(\tanh^{4}\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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a \left(a^{2}-2 a b +b^{2}\right)}-\frac{30 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b^{3}}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a^{2} \left(a^{2}-2 a b +b^{2}\right)}+\frac{12 b^{4} \left(\tanh^{4}\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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}+\frac{27 b \left(\tanh^{2}\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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}-\frac{17 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b^{2}}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a \left(a^{2}-2 a b +b^{2}\right)}+\frac{8 b^{3} \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}-\frac{9 b}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}+\frac{3 b^{2}}{2 d a \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}-\frac{15 b \arctan \left(\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 a +4 b}{4 \sqrt{a b -b^{2}}}\right)}{8 d a \left(a^{2}-2 a b +b^{2}\right) \sqrt{a b -b^{2}}}+\frac{5 b^{2} \arctan \left(\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 a +4 b}{4 \sqrt{a b -b^{2}}}\right)}{2 d \,a^{2} \left(a^{2}-2 a b +b^{2}\right) \sqrt{a b -b^{2}}}-\frac{b^{3} \arctan \left(\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 a +4 b}{4 \sqrt{a b -b^{2}}}\right)}{d \,a^{3} \left(a^{2}-2 a b +b^{2}\right) \sqrt{a b -b^{2}}}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{3}}"," ",0,"9/4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^6*b-7/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^6*b^2+4/d/a^2*b^3/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^6-27/4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^4+45/2/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a*b^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^4-30/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^4*b^3+12/d/a^3*b^4/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^4+27/4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^2-17/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^2*b^2+8/d/a^2*b^3/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^2-9/4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/(a^2-2*a*b+b^2)*b+3/2/d/a*b^2/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/(a^2-2*a*b+b^2)-15/8/d/a*b/(a^2-2*a*b+b^2)/(a*b-b^2)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a-2*a+4*b)/(a*b-b^2)^(1/2))+5/2/d/a^2*b^2/(a^2-2*a*b+b^2)/(a*b-b^2)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a-2*a+4*b)/(a*b-b^2)^(1/2))-1/d/a^3*b^3/(a^2-2*a*b+b^2)/(a*b-b^2)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a-2*a+4*b)/(a*b-b^2)^(1/2))+1/d/a^3*ln(tanh(1/2*d*x+1/2*c))","B"
57,1,1850,199,0.151000," ","int(csch(d*x+c)^2/(a+b*sinh(d*x+c)^2)^3,x)","-\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{2 d \,a^{3}}+\frac{3 b^{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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a \left(a^{2}-2 a b +b^{2}\right)}-\frac{9 b^{3} \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}-\frac{3 \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b^{2}}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a \left(a^{2}-2 a b +b^{2}\right)}+\frac{49 b^{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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a^{2} \left(a^{2}-2 a b +b^{2}\right)}-\frac{7 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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}-\frac{3 \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b^{2}}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a \left(a^{2}-2 a b +b^{2}\right)}+\frac{49 b^{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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a^{2} \left(a^{2}-2 a b +b^{2}\right)}-\frac{7 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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}+\frac{3 b^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a \left(a^{2}-2 a b +b^{2}\right)}-\frac{9 b^{3} \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}+\frac{3 b \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \left(a^{2}-2 a b +b^{2}\right) a \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{9 \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right) b^{2}}{2 d \,a^{2} \left(a^{2}-2 a b +b^{2}\right) \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{15 b^{3} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{8 d \,a^{3} \left(a^{2}-2 a b +b^{2}\right) \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{3 \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right) b^{2}}{d \left(a^{2}-2 a b +b^{2}\right) a \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{9 \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right) b^{3}}{2 d \,a^{2} \left(a^{2}-2 a b +b^{2}\right) \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{15 b^{4} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{8 d \,a^{3} \left(a^{2}-2 a b +b^{2}\right) \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{3 b \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \left(a^{2}-2 a b +b^{2}\right) a \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{9 \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right) b^{2}}{2 d \,a^{2} \left(a^{2}-2 a b +b^{2}\right) \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{15 b^{3} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{8 d \,a^{3} \left(a^{2}-2 a b +b^{2}\right) \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{3 \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right) b^{2}}{d \left(a^{2}-2 a b +b^{2}\right) a \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{9 \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right) b^{3}}{2 d \,a^{2} \left(a^{2}-2 a b +b^{2}\right) \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{15 b^{4} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{8 d \,a^{3} \left(a^{2}-2 a b +b^{2}\right) \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{1}{2 d \,a^{3} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}"," ",0,"-1/2/d/a^3*tanh(1/2*d*x+1/2*c)+3/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*b^2/a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^7-9/4/d/a^2*b^3/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^7-3/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^5*b^2+49/4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a^2*b^3/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^5-7/d/a^3*b^4/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^5-3/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^3*b^2+49/4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a^2*b^3/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^3-7/d/a^3*b^4/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^3+3/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*b^2/a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)-9/4/d/a^2*b^3/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)+3/d/(a^2-2*a*b+b^2)*b/a/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-9/2/d/a^2/(a^2-2*a*b+b^2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))*b^2+15/8/d/a^3*b^3/(a^2-2*a*b+b^2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+3/d/(a^2-2*a*b+b^2)/a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))*b^2-9/2/d/a^2/(a^2-2*a*b+b^2)/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))*b^3+15/8/d/a^3*b^4/(a^2-2*a*b+b^2)/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-3/d/(a^2-2*a*b+b^2)*b/a/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+9/2/d/a^2/(a^2-2*a*b+b^2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))*b^2-15/8/d/a^3*b^3/(a^2-2*a*b+b^2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+3/d/(a^2-2*a*b+b^2)/a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))*b^2-9/2/d/a^2/(a^2-2*a*b+b^2)/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))*b^3+15/8/d/a^3*b^4/(a^2-2*a*b+b^2)/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-1/2/d/a^3/tanh(1/2*d*x+1/2*c)","B"
58,1,1225,206,0.180000," ","int(csch(d*x+c)^3/(a+b*sinh(d*x+c)^2)^3,x)","\frac{\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)}{8 d \,a^{3}}-\frac{13 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b^{2}}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a \left(a^{2}-2 a b +b^{2}\right)}+\frac{10 b^{3} \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}-\frac{6 b^{4} \left(\tanh^{6}\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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}+\frac{39 b^{2} \left(\tanh^{4}\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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a \left(a^{2}-2 a b +b^{2}\right)}-\frac{67 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b^{3}}{2 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a^{2} \left(a^{2}-2 a b +b^{2}\right)}+\frac{46 b^{4} \left(\tanh^{4}\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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}-\frac{20 b^{5} \left(\tanh^{4}\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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}-\frac{39 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b^{2}}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a \left(a^{2}-2 a b +b^{2}\right)}+\frac{26 b^{3} \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}-\frac{14 b^{4} \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}+\frac{13 b^{2}}{4 d a \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}-\frac{5 b^{3}}{2 d \,a^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}+\frac{35 b^{2} \arctan \left(\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 a +4 b}{4 \sqrt{a b -b^{2}}}\right)}{8 d \,a^{2} \left(a^{2}-2 a b +b^{2}\right) \sqrt{a b -b^{2}}}-\frac{7 b^{3} \arctan \left(\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 a +4 b}{4 \sqrt{a b -b^{2}}}\right)}{d \,a^{3} \left(a^{2}-2 a b +b^{2}\right) \sqrt{a b -b^{2}}}+\frac{3 b^{4} \arctan \left(\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 a +4 b}{4 \sqrt{a b -b^{2}}}\right)}{d \,a^{4} \left(a^{2}-2 a b +b^{2}\right) \sqrt{a b -b^{2}}}-\frac{1}{8 d \,a^{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)}{2 d \,a^{3}}-\frac{3 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{d \,a^{4}}"," ",0,"1/8/d*tanh(1/2*d*x+1/2*c)^2/a^3-13/4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^6*b^2+10/d/a^2*b^3/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^6-6/d/a^3*b^4/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^6+39/4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a*b^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^4-67/2/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^4*b^3+46/d/a^3*b^4/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^4-20/d/a^4*b^5/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^4-39/4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^2*b^2+26/d/a^2*b^3/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^2-14/d/a^3*b^4/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^2+13/4/d/a*b^2/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/(a^2-2*a*b+b^2)-5/2/d/a^2*b^3/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/(a^2-2*a*b+b^2)+35/8/d/a^2*b^2/(a^2-2*a*b+b^2)/(a*b-b^2)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a-2*a+4*b)/(a*b-b^2)^(1/2))-7/d/a^3*b^3/(a^2-2*a*b+b^2)/(a*b-b^2)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a-2*a+4*b)/(a*b-b^2)^(1/2))+3/d/a^4*b^4/(a^2-2*a*b+b^2)/(a*b-b^2)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a-2*a+4*b)/(a*b-b^2)^(1/2))-1/8/d/a^3/tanh(1/2*d*x+1/2*c)^2-1/2/d/a^3*ln(tanh(1/2*d*x+1/2*c))-3/d/a^4*ln(tanh(1/2*d*x+1/2*c))*b","B"
59,1,1930,241,0.184000," ","int(csch(d*x+c)^4/(a+b*sinh(d*x+c)^2)^3,x)","-\frac{6 \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right) b^{3}}{d \,a^{2} \left(a^{2}-2 a b +b^{2}\right) \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{6 \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right) b^{3}}{d \,a^{2} \left(a^{2}-2 a b +b^{2}\right) \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{35 b^{5} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{8 d \,a^{4} \left(a^{2}-2 a b +b^{2}\right) \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{35 b^{5} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{8 d \,a^{4} \left(a^{2}-2 a b +b^{2}\right) \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{10 b^{4} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \,a^{3} \left(a^{2}-2 a b +b^{2}\right) \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{10 b^{4} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \,a^{3} \left(a^{2}-2 a b +b^{2}\right) \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{4 b^{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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a^{2} \left(a^{2}-2 a b +b^{2}\right)}-\frac{6 \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right) b^{2}}{d \,a^{2} \left(a^{2}-2 a b +b^{2}\right) \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{6 \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right) b^{2}}{d \,a^{2} \left(a^{2}-2 a b +b^{2}\right) \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{13 b^{4} \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}+\frac{11 b^{5} \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}+\frac{11 b^{5} \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}+\frac{13 b^{4} \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}-\frac{69 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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}-\frac{4 b^{3} \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}-\frac{4 b^{3} \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}-\frac{69 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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a^{2}-2 a b +b^{2}\right)}+\frac{4 b^{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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a^{2} \left(a^{2}-2 a b +b^{2}\right)}-\frac{10 b^{3} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \,a^{3} \left(a^{2}-2 a b +b^{2}\right) \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{10 b^{3} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \,a^{3} \left(a^{2}-2 a b +b^{2}\right) \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{35 b^{4} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{8 d \,a^{4} \left(a^{2}-2 a b +b^{2}\right) \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{35 b^{4} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{8 d \,a^{4} \left(a^{2}-2 a b +b^{2}\right) \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)}{24 d \,a^{3}}+\frac{3 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{8 d \,a^{3}}+\frac{3}{8 d \,a^{3} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}-\frac{1}{24 d \,a^{3} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)^{3}}+\frac{3 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b}{2 d \,a^{4}}+\frac{3 b}{2 d \,a^{4} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}"," ",0,"-6/d/a^2/(a^2-2*a*b+b^2)/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))*b^3-6/d/a^2/(a^2-2*a*b+b^2)/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))*b^3-35/8/d/a^4*b^5/(a^2-2*a*b+b^2)/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-35/8/d/a^4*b^5/(a^2-2*a*b+b^2)/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+10/d/a^3*b^4/(a^2-2*a*b+b^2)/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+10/d/a^3*b^4/(a^2-2*a*b+b^2)/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a^2*b^3/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^5+4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a^2*b^3/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^3-6/d/a^2/(a^2-2*a*b+b^2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))*b^2+6/d/a^2/(a^2-2*a*b+b^2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))*b^2+13/4/d/a^3*b^4/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^7+11/d/a^4*b^5/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^5+11/d/a^4*b^5/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^3+13/4/d/a^3*b^4/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)-10/d/a^3*b^3/(a^2-2*a*b+b^2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-4/d/a^2*b^3/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^7-69/4/d/a^3*b^4/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^5-69/4/d/a^3*b^4/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^3-4/d/a^2*b^3/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)+10/d/a^3*b^3/(a^2-2*a*b+b^2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+35/8/d/a^4*b^4/(a^2-2*a*b+b^2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-35/8/d/a^4*b^4/(a^2-2*a*b+b^2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+3/8/d/a^3*tanh(1/2*d*x+1/2*c)+3/8/d/a^3/tanh(1/2*d*x+1/2*c)-1/24/d/a^3/tanh(1/2*d*x+1/2*c)^3-1/24/d/a^3*tanh(1/2*d*x+1/2*c)^3+3/2/d/a^4*tanh(1/2*d*x+1/2*c)*b+3/2/d/a^4/tanh(1/2*d*x+1/2*c)*b","B"
60,1,17,2,0.038000," ","int(1/(1+sinh(x)^2),x)","\frac{2 \tanh \left(\frac{x}{2}\right)}{\tanh^{2}\left(\frac{x}{2}\right)+1}"," ",0,"2*tanh(1/2*x)/(tanh(1/2*x)^2+1)","B"
61,1,36,9,0.035000," ","int(1/(1+sinh(x)^2)^2,x)","-\frac{2 \left(-\left(\tanh^{5}\left(\frac{x}{2}\right)\right)-\frac{2 \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{3}-\tanh \left(\frac{x}{2}\right)\right)}{\left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{3}}"," ",0,"-2*(-tanh(1/2*x)^5-2/3*tanh(1/2*x)^3-tanh(1/2*x))/(tanh(1/2*x)^2+1)^3","B"
62,1,52,15,0.036000," ","int(1/(1+sinh(x)^2)^3,x)","-\frac{2 \left(-\left(\tanh^{9}\left(\frac{x}{2}\right)\right)-\frac{4 \left(\tanh^{7}\left(\frac{x}{2}\right)\right)}{3}-\frac{58 \left(\tanh^{5}\left(\frac{x}{2}\right)\right)}{15}-\frac{4 \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{3}-\tanh \left(\frac{x}{2}\right)\right)}{\left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{5}}"," ",0,"-2*(-tanh(1/2*x)^9-4/3*tanh(1/2*x)^7-58/15*tanh(1/2*x)^5-4/3*tanh(1/2*x)^3-tanh(1/2*x))/(tanh(1/2*x)^2+1)^5","B"
63,1,40,12,0.038000," ","int(1/(1-sinh(x)^2),x)","\frac{\sqrt{2}\, \arctanh \left(\frac{\left(2 \tanh \left(\frac{x}{2}\right)-2\right) \sqrt{2}}{4}\right)}{2}+\frac{\sqrt{2}\, \arctanh \left(\frac{\left(2 \tanh \left(\frac{x}{2}\right)+2\right) \sqrt{2}}{4}\right)}{2}"," ",0,"1/2*2^(1/2)*arctanh(1/4*(2*tanh(1/2*x)-2)*2^(1/2))+1/2*2^(1/2)*arctanh(1/4*(2*tanh(1/2*x)+2)*2^(1/2))","B"
64,1,92,29,0.038000," ","int(1/(1-sinh(x)^2)^2,x)","-\frac{-\frac{\tanh \left(\frac{x}{2}\right)}{4}-\frac{1}{4}}{\tanh^{2}\left(\frac{x}{2}\right)-2 \tanh \left(\frac{x}{2}\right)-1}+\frac{3 \sqrt{2}\, \arctanh \left(\frac{\left(2 \tanh \left(\frac{x}{2}\right)-2\right) \sqrt{2}}{4}\right)}{8}-\frac{-\frac{\tanh \left(\frac{x}{2}\right)}{4}+\frac{1}{4}}{\tanh^{2}\left(\frac{x}{2}\right)+2 \tanh \left(\frac{x}{2}\right)-1}+\frac{3 \sqrt{2}\, \arctanh \left(\frac{\left(2 \tanh \left(\frac{x}{2}\right)+2\right) \sqrt{2}}{4}\right)}{8}"," ",0,"-(-1/4*tanh(1/2*x)-1/4)/(tanh(1/2*x)^2-2*tanh(1/2*x)-1)+3/8*2^(1/2)*arctanh(1/4*(2*tanh(1/2*x)-2)*2^(1/2))-(-1/4*tanh(1/2*x)+1/4)/(tanh(1/2*x)^2+2*tanh(1/2*x)-1)+3/8*2^(1/2)*arctanh(1/4*(2*tanh(1/2*x)+2)*2^(1/2))","B"
65,1,124,45,0.038000," ","int(1/(1-sinh(x)^2)^3,x)","-\frac{-\frac{13 \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{8}+\frac{11 \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{8}+\frac{31 \tanh \left(\frac{x}{2}\right)}{8}+\frac{11}{8}}{4 \left(\tanh^{2}\left(\frac{x}{2}\right)-2 \tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{19 \sqrt{2}\, \arctanh \left(\frac{\left(2 \tanh \left(\frac{x}{2}\right)-2\right) \sqrt{2}}{4}\right)}{64}-\frac{-\frac{13 \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{8}-\frac{11 \left(\tanh^{2}\left(\frac{x}{2}\right)\right)}{8}+\frac{31 \tanh \left(\frac{x}{2}\right)}{8}-\frac{11}{8}}{4 \left(\tanh^{2}\left(\frac{x}{2}\right)+2 \tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{19 \sqrt{2}\, \arctanh \left(\frac{\left(2 \tanh \left(\frac{x}{2}\right)+2\right) \sqrt{2}}{4}\right)}{64}"," ",0,"-1/4*(-13/8*tanh(1/2*x)^3+11/8*tanh(1/2*x)^2+31/8*tanh(1/2*x)+11/8)/(tanh(1/2*x)^2-2*tanh(1/2*x)-1)^2+19/64*2^(1/2)*arctanh(1/4*(2*tanh(1/2*x)-2)*2^(1/2))-1/4*(-13/8*tanh(1/2*x)^3-11/8*tanh(1/2*x)^2+31/8*tanh(1/2*x)-11/8)/(tanh(1/2*x)^2+2*tanh(1/2*x)-1)^2+19/64*2^(1/2)*arctanh(1/4*(2*tanh(1/2*x)+2)*2^(1/2))","B"
66,1,339,114,0.171000," ","int(sinh(f*x+e)^3*(a+b*sinh(f*x+e)^2)^(1/2),x)","\frac{\sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \left(4 \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}\, b^{\frac{5}{2}} \left(\cosh^{2}\left(f x +e \right)\right)-10 \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}\, b^{\frac{5}{2}}+2 a \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}\, b^{\frac{3}{2}}-\ln \left(\frac{2 b \left(\cosh^{2}\left(f x +e \right)\right)+2 \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \sqrt{b}+a -b}{2 \sqrt{b}}\right) a^{2} b -2 a \ln \left(\frac{2 b \left(\cosh^{2}\left(f x +e \right)\right)+2 \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \sqrt{b}+a -b}{2 \sqrt{b}}\right) b^{2}+3 b^{3} \ln \left(\frac{2 b \left(\cosh^{2}\left(f x +e \right)\right)+2 \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \sqrt{b}+a -b}{2 \sqrt{b}}\right)\right)}{16 b^{\frac{5}{2}} \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"1/16*((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)*(4*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)*b^(5/2)*cosh(f*x+e)^2-10*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)*b^(5/2)+2*a*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)*b^(3/2)-ln(1/2*(2*b*cosh(f*x+e)^2+2*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)*b^(1/2)+a-b)/b^(1/2))*a^2*b-2*a*ln(1/2*(2*b*cosh(f*x+e)^2+2*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)*b^(1/2)+a-b)/b^(1/2))*b^2+3*b^3*ln(1/2*(2*b*cosh(f*x+e)^2+2*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)*b^(1/2)+a-b)/b^(1/2)))/b^(5/2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","B"
67,1,200,70,0.106000," ","int(sinh(f*x+e)*(a+b*sinh(f*x+e)^2)^(1/2),x)","\frac{\sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \left(2 \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \sqrt{b}+a \ln \left(\frac{2 b \left(\cosh^{2}\left(f x +e \right)\right)+2 \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \sqrt{b}+a -b}{2 \sqrt{b}}\right)-b \ln \left(\frac{2 b \left(\cosh^{2}\left(f x +e \right)\right)+2 \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \sqrt{b}+a -b}{2 \sqrt{b}}\right)\right)}{4 \sqrt{b}\, \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"1/4*((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)*(2*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)*b^(1/2)+a*ln(1/2*(2*b*cosh(f*x+e)^2+2*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)*b^(1/2)+a-b)/b^(1/2))-b*ln(1/2*(2*b*cosh(f*x+e)^2+2*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)*b^(1/2)+a-b)/b^(1/2)))/b^(1/2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","B"
68,1,174,72,0.160000," ","int(csch(f*x+e)*(a+b*sinh(f*x+e)^2)^(1/2),x)","-\frac{\sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \left(\sqrt{a}\, \ln \left(\frac{\left(a +b \right) \left(\cosh^{2}\left(f x +e \right)\right)+2 \sqrt{a}\, \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}+a -b}{\sinh \left(f x +e \right)^{2}}\right)-\sqrt{b}\, \ln \left(\frac{2 b \left(\cosh^{2}\left(f x +e \right)\right)+2 \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \sqrt{b}+a -b}{2 \sqrt{b}}\right)\right)}{2 \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"-1/2*((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)*(a^(1/2)*ln(((a+b)*cosh(f*x+e)^2+2*a^(1/2)*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)+a-b)/sinh(f*x+e)^2)-b^(1/2)*ln(1/2*(2*b*cosh(f*x+e)^2+2*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)*b^(1/2)+a-b)/b^(1/2)))/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","B"
69,1,230,76,0.229000," ","int(csch(f*x+e)^3*(a+b*sinh(f*x+e)^2)^(1/2),x)","-\frac{\sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \left(-a \ln \left(\frac{\left(a +b \right) \left(\cosh^{2}\left(f x +e \right)\right)+2 \sqrt{a}\, \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}+a -b}{\sinh \left(f x +e \right)^{2}}\right) \left(\sinh^{2}\left(f x +e \right)\right)+b \ln \left(\frac{\left(a +b \right) \left(\cosh^{2}\left(f x +e \right)\right)+2 \sqrt{a}\, \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}+a -b}{\sinh \left(f x +e \right)^{2}}\right) \left(\sinh^{2}\left(f x +e \right)\right)+2 \sqrt{a}\, \sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}\right)}{4 \sqrt{a}\, \sinh \left(f x +e \right)^{2} \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"-1/4*((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)*(-a*ln(((a+b)*cosh(f*x+e)^2+2*a^(1/2)*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)+a-b)/sinh(f*x+e)^2)*sinh(f*x+e)^2+b*ln(((a+b)*cosh(f*x+e)^2+2*a^(1/2)*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)+a-b)/sinh(f*x+e)^2)*sinh(f*x+e)^2+2*a^(1/2)*((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2))/a^(1/2)/sinh(f*x+e)^2/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","B"
70,1,381,128,0.178000," ","int(csch(f*x+e)^5*(a+b*sinh(f*x+e)^2)^(1/2),x)","\frac{\sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \left(6 \sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \left(\sinh^{2}\left(f x +e \right)\right) a^{\frac{5}{2}}-3 a^{3} \ln \left(\frac{\left(a +b \right) \left(\cosh^{2}\left(f x +e \right)\right)+2 \sqrt{a}\, \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}+a -b}{\sinh \left(f x +e \right)^{2}}\right) \left(\sinh^{4}\left(f x +e \right)\right)+2 b \ln \left(\frac{\left(a +b \right) \left(\cosh^{2}\left(f x +e \right)\right)+2 \sqrt{a}\, \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}+a -b}{\sinh \left(f x +e \right)^{2}}\right) \left(\sinh^{4}\left(f x +e \right)\right) a^{2}+\ln \left(\frac{\left(a +b \right) \left(\cosh^{2}\left(f x +e \right)\right)+2 \sqrt{a}\, \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}+a -b}{\sinh \left(f x +e \right)^{2}}\right) b^{2} \left(\sinh^{4}\left(f x +e \right)\right) a -2 b \sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \left(\sinh^{2}\left(f x +e \right)\right) a^{\frac{3}{2}}-4 \sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}\, a^{\frac{5}{2}}\right)}{16 \sinh \left(f x +e \right)^{4} a^{\frac{5}{2}} \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"1/16*((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)*(6*((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)*sinh(f*x+e)^2*a^(5/2)-3*a^3*ln(((a+b)*cosh(f*x+e)^2+2*a^(1/2)*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)+a-b)/sinh(f*x+e)^2)*sinh(f*x+e)^4+2*b*ln(((a+b)*cosh(f*x+e)^2+2*a^(1/2)*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)+a-b)/sinh(f*x+e)^2)*sinh(f*x+e)^4*a^2+ln(((a+b)*cosh(f*x+e)^2+2*a^(1/2)*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)+a-b)/sinh(f*x+e)^2)*b^2*sinh(f*x+e)^4*a-2*b*((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)*sinh(f*x+e)^2*a^(3/2)-4*((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)*a^(5/2))/sinh(f*x+e)^4/a^(5/2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","B"
71,1,512,356,0.139000," ","int(sinh(f*x+e)^4*(a+b*sinh(f*x+e)^2)^(1/2),x)","\frac{3 \sqrt{-\frac{b}{a}}\, b^{2} \left(\sinh^{7}\left(f x +e \right)\right)+4 \sqrt{-\frac{b}{a}}\, a b \left(\sinh^{5}\left(f x +e \right)\right)-\sqrt{-\frac{b}{a}}\, b^{2} \left(\sinh^{5}\left(f x +e \right)\right)+\sqrt{-\frac{b}{a}}\, a^{2} \left(\sinh^{3}\left(f x +e \right)\right)-4 \sqrt{-\frac{b}{a}}\, b^{2} \left(\sinh^{3}\left(f x +e \right)\right)+a^{2} \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)+7 a \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b -8 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2}-2 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{2}-3 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a b +8 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2}+\sqrt{-\frac{b}{a}}\, a^{2} \sinh \left(f x +e \right)-4 \sqrt{-\frac{b}{a}}\, a b \sinh \left(f x +e \right)}{15 b \sqrt{-\frac{b}{a}}\, \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"1/15*(3*(-1/a*b)^(1/2)*b^2*sinh(f*x+e)^7+4*(-1/a*b)^(1/2)*a*b*sinh(f*x+e)^5-(-1/a*b)^(1/2)*b^2*sinh(f*x+e)^5+(-1/a*b)^(1/2)*a^2*sinh(f*x+e)^3-4*(-1/a*b)^(1/2)*b^2*sinh(f*x+e)^3+a^2*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))+7*a*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b-8*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2-2*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^2-3*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b+8*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2+(-1/a*b)^(1/2)*a^2*sinh(f*x+e)-4*(-1/a*b)^(1/2)*a*b*sinh(f*x+e))/b/(-1/a*b)^(1/2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
72,1,341,217,0.119000," ","int(sinh(f*x+e)^2*(a+b*sinh(f*x+e)^2)^(1/2),x)","\frac{\sqrt{-\frac{b}{a}}\, b \sinh \left(f x +e \right) \left(\cosh^{4}\left(f x +e \right)\right)+\left(\sqrt{-\frac{b}{a}}\, a -\sqrt{-\frac{b}{a}}\, b \right) \left(\cosh^{2}\left(f x +e \right)\right) \sinh \left(f x +e \right)-2 a \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)+2 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b +\sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a -2 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b}{3 \sqrt{-\frac{b}{a}}\, \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"1/3*((-1/a*b)^(1/2)*b*sinh(f*x+e)*cosh(f*x+e)^4+((-1/a*b)^(1/2)*a-(-1/a*b)^(1/2)*b)*cosh(f*x+e)^2*sinh(f*x+e)-2*a*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))+2*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b+(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a-2*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b)/(-1/a*b)^(1/2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
73,1,140,84,0.097000," ","int((a+b*sinh(f*x+e)^2)^(1/2),x)","\frac{\sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \left(a \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)-b \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)+b \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)\right)}{\sqrt{-\frac{b}{a}}\, \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*(a*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))-b*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))+b*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2)))/(-1/a*b)^(1/2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
74,1,161,267,0.122000," ","int(csch(f*x+e)^2*(a+b*sinh(f*x+e)^2)^(1/2),x)","-\frac{-b \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \sinh \left(f x +e \right) \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)+\sqrt{-\frac{b}{a}}\, b \left(\cosh^{4}\left(f x +e \right)\right)+\left(\sqrt{-\frac{b}{a}}\, a -\sqrt{-\frac{b}{a}}\, b \right) \left(\cosh^{2}\left(f x +e \right)\right)}{\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}\, \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"-(-b*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*sinh(f*x+e)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))+(-1/a*b)^(1/2)*b*cosh(f*x+e)^4+((-1/a*b)^(1/2)*a-(-1/a*b)^(1/2)*b)*cosh(f*x+e)^2)/sinh(f*x+e)/(-1/a*b)^(1/2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
75,1,436,332,0.157000," ","int(csch(f*x+e)^4*(a+b*sinh(f*x+e)^2)^(1/2),x)","\frac{2 \sqrt{-\frac{b}{a}}\, a b \left(\sinh^{6}\left(f x +e \right)\right)-\sqrt{-\frac{b}{a}}\, b^{2} \left(\sinh^{6}\left(f x +e \right)\right)+b \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a \left(\sinh^{3}\left(f x +e \right)\right)-\sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2} \left(\sinh^{3}\left(f x +e \right)\right)-2 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a b \left(\sinh^{3}\left(f x +e \right)\right)+\sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2} \left(\sinh^{3}\left(f x +e \right)\right)+2 \sqrt{-\frac{b}{a}}\, a^{2} \left(\sinh^{4}\left(f x +e \right)\right)-\sqrt{-\frac{b}{a}}\, b^{2} \left(\sinh^{4}\left(f x +e \right)\right)+\sqrt{-\frac{b}{a}}\, a^{2} \left(\sinh^{2}\left(f x +e \right)\right)-2 \sqrt{-\frac{b}{a}}\, a b \left(\sinh^{2}\left(f x +e \right)\right)-\sqrt{-\frac{b}{a}}\, a^{2}}{3 a \sinh \left(f x +e \right)^{3} \sqrt{-\frac{b}{a}}\, \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"1/3*(2*(-1/a*b)^(1/2)*a*b*sinh(f*x+e)^6-(-1/a*b)^(1/2)*b^2*sinh(f*x+e)^6+b*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*sinh(f*x+e)^3-((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2*sinh(f*x+e)^3-2*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b*sinh(f*x+e)^3+((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2*sinh(f*x+e)^3+2*(-1/a*b)^(1/2)*a^2*sinh(f*x+e)^4-(-1/a*b)^(1/2)*b^2*sinh(f*x+e)^4+(-1/a*b)^(1/2)*a^2*sinh(f*x+e)^2-2*(-1/a*b)^(1/2)*a*b*sinh(f*x+e)^2-(-1/a*b)^(1/2)*a^2)/a/sinh(f*x+e)^3/(-1/a*b)^(1/2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
76,1,483,157,0.150000," ","int(sinh(f*x+e)^3*(a+b*sinh(f*x+e)^2)^(3/2),x)","\frac{\sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \left(16 b^{\frac{7}{2}} \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \left(\cosh^{4}\left(f x +e \right)\right)+4 b^{\frac{5}{2}} \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \left(-13 b +7 a \right) \left(\cosh^{2}\left(f x +e \right)\right)+66 b^{\frac{7}{2}} \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}-72 a \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}\, b^{\frac{5}{2}}+6 a^{2} \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}\, b^{\frac{3}{2}}-3 \ln \left(\frac{2 b \left(\cosh^{2}\left(f x +e \right)\right)+2 \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \sqrt{b}+a -b}{2 \sqrt{b}}\right) a^{3} b -9 \ln \left(\frac{2 b \left(\cosh^{2}\left(f x +e \right)\right)+2 \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \sqrt{b}+a -b}{2 \sqrt{b}}\right) a^{2} b^{2}+27 b^{3} a \ln \left(\frac{2 b \left(\cosh^{2}\left(f x +e \right)\right)+2 \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \sqrt{b}+a -b}{2 \sqrt{b}}\right)-15 b^{4} \ln \left(\frac{2 b \left(\cosh^{2}\left(f x +e \right)\right)+2 \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \sqrt{b}+a -b}{2 \sqrt{b}}\right)\right)}{96 b^{\frac{5}{2}} \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"1/96*((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)*(16*b^(7/2)*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)*cosh(f*x+e)^4+4*b^(5/2)*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)*(-13*b+7*a)*cosh(f*x+e)^2+66*b^(7/2)*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)-72*a*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)*b^(5/2)+6*a^2*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)*b^(3/2)-3*ln(1/2*(2*b*cosh(f*x+e)^2+2*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)*b^(1/2)+a-b)/b^(1/2))*a^3*b-9*ln(1/2*(2*b*cosh(f*x+e)^2+2*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)*b^(1/2)+a-b)/b^(1/2))*a^2*b^2+27*b^3*a*ln(1/2*(2*b*cosh(f*x+e)^2+2*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)*b^(1/2)+a-b)/b^(1/2))-15*b^4*ln(1/2*(2*b*cosh(f*x+e)^2+2*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)*b^(1/2)+a-b)/b^(1/2)))/b^(5/2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","B"
77,1,336,105,0.103000," ","int(sinh(f*x+e)*(a+b*sinh(f*x+e)^2)^(3/2),x)","\frac{\sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \left(4 \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}\, b^{\frac{3}{2}} \left(\cosh^{2}\left(f x +e \right)\right)-10 b^{\frac{3}{2}} \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}+3 \ln \left(\frac{2 b \left(\cosh^{2}\left(f x +e \right)\right)+2 \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \sqrt{b}+a -b}{2 \sqrt{b}}\right) a^{2}-6 b a \ln \left(\frac{2 b \left(\cosh^{2}\left(f x +e \right)\right)+2 \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \sqrt{b}+a -b}{2 \sqrt{b}}\right)+3 b^{2} \ln \left(\frac{2 b \left(\cosh^{2}\left(f x +e \right)\right)+2 \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \sqrt{b}+a -b}{2 \sqrt{b}}\right)+10 a \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \sqrt{b}\right)}{16 \sqrt{b}\, \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"1/16*((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)*(4*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)*b^(3/2)*cosh(f*x+e)^2-10*b^(3/2)*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)+3*ln(1/2*(2*b*cosh(f*x+e)^2+2*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)*b^(1/2)+a-b)/b^(1/2))*a^2-6*b*a*ln(1/2*(2*b*cosh(f*x+e)^2+2*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)*b^(1/2)+a-b)/b^(1/2))+3*b^2*ln(1/2*(2*b*cosh(f*x+e)^2+2*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)*b^(1/2)+a-b)/b^(1/2))+10*a*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)*b^(1/2))/b^(1/2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","B"
78,1,268,109,0.168000," ","int(csch(f*x+e)*(a+b*sinh(f*x+e)^2)^(3/2),x)","-\frac{\sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \left(b^{\frac{3}{2}} \ln \left(\frac{2 b \left(\cosh^{2}\left(f x +e \right)\right)+2 \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \sqrt{b}+a -b}{2 \sqrt{b}}\right)+2 a^{\frac{3}{2}} \ln \left(\frac{\left(a +b \right) \left(\cosh^{2}\left(f x +e \right)\right)+2 \sqrt{a}\, \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}+a -b}{\cosh^{2}\left(f x +e \right)-1}\right)-3 \sqrt{b}\, a \ln \left(\frac{2 b \left(\cosh^{2}\left(f x +e \right)\right)+2 \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \sqrt{b}+a -b}{2 \sqrt{b}}\right)-2 b \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}\right)}{4 \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"-1/4*((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)*(b^(3/2)*ln(1/2*(2*b*cosh(f*x+e)^2+2*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)*b^(1/2)+a-b)/b^(1/2))+2*a^(3/2)*ln(((a+b)*cosh(f*x+e)^2+2*a^(1/2)*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)+a-b)/(cosh(f*x+e)^2-1))-3*b^(1/2)*a*ln(1/2*(2*b*cosh(f*x+e)^2+2*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)*b^(1/2)+a-b)/b^(1/2))-2*b*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2))/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","B"
79,1,297,112,0.188000," ","int(csch(f*x+e)^3*(a+b*sinh(f*x+e)^2)^(3/2),x)","\frac{\sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \left(a^{\frac{3}{2}} \ln \left(\frac{\left(a +b \right) \left(\cosh^{2}\left(f x +e \right)\right)+2 \sqrt{a}\, \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}+a -b}{\sinh \left(f x +e \right)^{2}}\right) \left(\sinh^{2}\left(f x +e \right)\right)+2 b^{\frac{3}{2}} \ln \left(\frac{2 b \left(\cosh^{2}\left(f x +e \right)\right)+2 \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \sqrt{b}+a -b}{2 \sqrt{b}}\right) \left(\sinh^{2}\left(f x +e \right)\right)-3 \sqrt{a}\, b \ln \left(\frac{\left(a +b \right) \left(\cosh^{2}\left(f x +e \right)\right)+2 \sqrt{a}\, \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}+a -b}{\sinh \left(f x +e \right)^{2}}\right) \left(\sinh^{2}\left(f x +e \right)\right)-2 a \sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}\right)}{4 \sinh \left(f x +e \right)^{2} \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"1/4*((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)*(a^(3/2)*ln(((a+b)*cosh(f*x+e)^2+2*a^(1/2)*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)+a-b)/sinh(f*x+e)^2)*sinh(f*x+e)^2+2*b^(3/2)*ln(1/2*(2*b*cosh(f*x+e)^2+2*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)*b^(1/2)+a-b)/b^(1/2))*sinh(f*x+e)^2-3*a^(1/2)*b*ln(((a+b)*cosh(f*x+e)^2+2*a^(1/2)*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)+a-b)/sinh(f*x+e)^2)*sinh(f*x+e)^2-2*a*((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2))/sinh(f*x+e)^2/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","B"
80,1,379,119,0.188000," ","int(csch(f*x+e)^5*(a+b*sinh(f*x+e)^2)^(3/2),x)","\frac{\sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \left(-3 a^{2} \ln \left(\frac{\left(a +b \right) \left(\cosh^{2}\left(f x +e \right)\right)+2 \sqrt{a}\, \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}+a -b}{\sinh \left(f x +e \right)^{2}}\right) \left(\sinh^{4}\left(f x +e \right)\right)+6 a b \ln \left(\frac{\left(a +b \right) \left(\cosh^{2}\left(f x +e \right)\right)+2 \sqrt{a}\, \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}+a -b}{\sinh \left(f x +e \right)^{2}}\right) \left(\sinh^{4}\left(f x +e \right)\right)-3 b^{2} \ln \left(\frac{\left(a +b \right) \left(\cosh^{2}\left(f x +e \right)\right)+2 \sqrt{a}\, \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}+a -b}{\sinh \left(f x +e \right)^{2}}\right) \left(\sinh^{4}\left(f x +e \right)\right)+6 a^{\frac{3}{2}} \sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \left(\sinh^{2}\left(f x +e \right)\right)-10 b \sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \sqrt{a}\, \left(\sinh^{2}\left(f x +e \right)\right)-4 a^{\frac{3}{2}} \sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}\right)}{16 \sqrt{a}\, \sinh \left(f x +e \right)^{4} \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"1/16*((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)*(-3*a^2*ln(((a+b)*cosh(f*x+e)^2+2*a^(1/2)*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)+a-b)/sinh(f*x+e)^2)*sinh(f*x+e)^4+6*a*b*ln(((a+b)*cosh(f*x+e)^2+2*a^(1/2)*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)+a-b)/sinh(f*x+e)^2)*sinh(f*x+e)^4-3*b^2*ln(((a+b)*cosh(f*x+e)^2+2*a^(1/2)*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)+a-b)/sinh(f*x+e)^2)*sinh(f*x+e)^4+6*a^(3/2)*((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)*sinh(f*x+e)^2-10*b*((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)*a^(1/2)*sinh(f*x+e)^2-4*a^(3/2)*((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2))/a^(1/2)/sinh(f*x+e)^4/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","B"
81,1,569,179,0.214000," ","int(csch(f*x+e)^7*(a+b*sinh(f*x+e)^2)^(3/2),x)","-\frac{\sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \left(30 a^{\frac{7}{2}} \sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \left(\sinh^{4}\left(f x +e \right)\right)-44 b \sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \left(\sinh^{4}\left(f x +e \right)\right) a^{\frac{5}{2}}-15 a^{4} \ln \left(\frac{\left(a +b \right) \left(\cosh^{2}\left(f x +e \right)\right)+2 \sqrt{a}\, \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}+a -b}{\sinh \left(f x +e \right)^{2}}\right) \left(\sinh^{6}\left(f x +e \right)\right)+27 a^{3} b \ln \left(\frac{\left(a +b \right) \left(\cosh^{2}\left(f x +e \right)\right)+2 \sqrt{a}\, \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}+a -b}{\sinh \left(f x +e \right)^{2}}\right) \left(\sinh^{6}\left(f x +e \right)\right)-9 b^{2} \ln \left(\frac{\left(a +b \right) \left(\cosh^{2}\left(f x +e \right)\right)+2 \sqrt{a}\, \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}+a -b}{\sinh \left(f x +e \right)^{2}}\right) \left(\sinh^{6}\left(f x +e \right)\right) a^{2}-3 b^{3} \ln \left(\frac{\left(a +b \right) \left(\cosh^{2}\left(f x +e \right)\right)+2 \sqrt{a}\, \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}+a -b}{\sinh \left(f x +e \right)^{2}}\right) \left(\sinh^{6}\left(f x +e \right)\right) a -20 a^{\frac{7}{2}} \sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \left(\sinh^{2}\left(f x +e \right)\right)+6 b^{2} \sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \left(\sinh^{4}\left(f x +e \right)\right) a^{\frac{3}{2}}+28 b \sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \left(\sinh^{2}\left(f x +e \right)\right) a^{\frac{5}{2}}+16 a^{\frac{7}{2}} \sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}\right)}{96 \sinh \left(f x +e \right)^{6} a^{\frac{5}{2}} \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"-1/96*((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)*(30*a^(7/2)*((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)*sinh(f*x+e)^4-44*b*((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)*sinh(f*x+e)^4*a^(5/2)-15*a^4*ln(((a+b)*cosh(f*x+e)^2+2*a^(1/2)*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)+a-b)/sinh(f*x+e)^2)*sinh(f*x+e)^6+27*a^3*b*ln(((a+b)*cosh(f*x+e)^2+2*a^(1/2)*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)+a-b)/sinh(f*x+e)^2)*sinh(f*x+e)^6-9*b^2*ln(((a+b)*cosh(f*x+e)^2+2*a^(1/2)*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)+a-b)/sinh(f*x+e)^2)*sinh(f*x+e)^6*a^2-3*b^3*ln(((a+b)*cosh(f*x+e)^2+2*a^(1/2)*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)+a-b)/sinh(f*x+e)^2)*sinh(f*x+e)^6*a-20*a^(7/2)*((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)*sinh(f*x+e)^2+6*b^2*((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)*sinh(f*x+e)^4*a^(3/2)+28*b*((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)*sinh(f*x+e)^2*a^(5/2)+16*a^(7/2)*((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2))/sinh(f*x+e)^6/a^(5/2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","B"
82,1,743,419,0.144000," ","int(sinh(f*x+e)^4*(a+b*sinh(f*x+e)^2)^(3/2),x)","\frac{5 \sqrt{-\frac{b}{a}}\, b^{3} \sinh \left(f x +e \right) \left(\cosh^{8}\left(f x +e \right)\right)+\left(13 \sqrt{-\frac{b}{a}}\, a \,b^{2}-21 \sqrt{-\frac{b}{a}}\, b^{3}\right) \left(\cosh^{6}\left(f x +e \right)\right) \sinh \left(f x +e \right)+\left(9 \sqrt{-\frac{b}{a}}\, a^{2} b -43 \sqrt{-\frac{b}{a}}\, a \,b^{2}+35 \sqrt{-\frac{b}{a}}\, b^{3}\right) \left(\cosh^{4}\left(f x +e \right)\right) \sinh \left(f x +e \right)+\left(\sqrt{-\frac{b}{a}}\, a^{3}-20 \sqrt{-\frac{b}{a}}\, a^{2} b +38 \sqrt{-\frac{b}{a}}\, a \,b^{2}-19 \sqrt{-\frac{b}{a}}\, b^{3}\right) \left(\cosh^{2}\left(f x +e \right)\right) \sinh \left(f x +e \right)+\sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{3}+15 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{2} b -32 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a \,b^{2}+16 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{3}-2 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{3}-4 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{2} b +24 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a \,b^{2}-16 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{3}}{35 b \sqrt{-\frac{b}{a}}\, \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"1/35*(5*(-1/a*b)^(1/2)*b^3*sinh(f*x+e)*cosh(f*x+e)^8+(13*(-1/a*b)^(1/2)*a*b^2-21*(-1/a*b)^(1/2)*b^3)*cosh(f*x+e)^6*sinh(f*x+e)+(9*(-1/a*b)^(1/2)*a^2*b-43*(-1/a*b)^(1/2)*a*b^2+35*(-1/a*b)^(1/2)*b^3)*cosh(f*x+e)^4*sinh(f*x+e)+((-1/a*b)^(1/2)*a^3-20*(-1/a*b)^(1/2)*a^2*b+38*(-1/a*b)^(1/2)*a*b^2-19*(-1/a*b)^(1/2)*b^3)*cosh(f*x+e)^2*sinh(f*x+e)+(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^3+15*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^2*b-32*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b^2+16*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^3-2*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^3-4*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^2*b+24*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b^2-16*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^3)/b/(-1/a*b)^(1/2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
83,1,535,272,0.125000," ","int(sinh(f*x+e)^2*(a+b*sinh(f*x+e)^2)^(3/2),x)","-\frac{-3 \sqrt{-\frac{b}{a}}\, b^{2} \sinh \left(f x +e \right) \left(\cosh^{6}\left(f x +e \right)\right)+\left(-9 \sqrt{-\frac{b}{a}}\, a b +10 \sqrt{-\frac{b}{a}}\, b^{2}\right) \left(\cosh^{4}\left(f x +e \right)\right) \sinh \left(f x +e \right)+\left(-6 \sqrt{-\frac{b}{a}}\, a^{2}+13 \sqrt{-\frac{b}{a}}\, a b -7 \sqrt{-\frac{b}{a}}\, b^{2}\right) \left(\cosh^{2}\left(f x +e \right)\right) \sinh \left(f x +e \right)+9 a^{2} \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)-17 a \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b +8 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2}-3 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{2}+13 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a b -8 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2}}{15 \sqrt{-\frac{b}{a}}\, \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"-1/15*(-3*(-1/a*b)^(1/2)*b^2*sinh(f*x+e)*cosh(f*x+e)^6+(-9*(-1/a*b)^(1/2)*a*b+10*(-1/a*b)^(1/2)*b^2)*cosh(f*x+e)^4*sinh(f*x+e)+(-6*(-1/a*b)^(1/2)*a^2+13*(-1/a*b)^(1/2)*a*b-7*(-1/a*b)^(1/2)*b^2)*cosh(f*x+e)^2*sinh(f*x+e)+9*a^2*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))-17*a*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b+8*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2-3*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^2+13*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b-8*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2)/(-1/a*b)^(1/2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
84,1,416,214,0.108000," ","int((a+b*sinh(f*x+e)^2)^(3/2),x)","\frac{\sqrt{-\frac{b}{a}}\, b^{2} \sinh \left(f x +e \right) \left(\cosh^{4}\left(f x +e \right)\right)+\left(\sqrt{-\frac{b}{a}}\, a b -\sqrt{-\frac{b}{a}}\, b^{2}\right) \left(\cosh^{2}\left(f x +e \right)\right) \sinh \left(f x +e \right)+3 a^{2} \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)-5 a \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b +2 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2}+4 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a b -2 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2}}{3 \sqrt{-\frac{b}{a}}\, \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"1/3*((-1/a*b)^(1/2)*b^2*sinh(f*x+e)*cosh(f*x+e)^4+((-1/a*b)^(1/2)*a*b-(-1/a*b)^(1/2)*b^2)*cosh(f*x+e)^2*sinh(f*x+e)+3*a^2*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))-5*a*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b+2*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2+4*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b-2*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2)/(-1/a*b)^(1/2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
85,1,244,272,0.172000," ","int(csch(f*x+e)^2*(a+b*sinh(f*x+e)^2)^(3/2),x)","-\frac{-\sinh \left(f x +e \right) \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, b \left(a \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)-b \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)+\EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a +b \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)\right)+\sqrt{-\frac{b}{a}}\, a b \left(\cosh^{4}\left(f x +e \right)\right)+\left(\sqrt{-\frac{b}{a}}\, a^{2}-\sqrt{-\frac{b}{a}}\, a b \right) \left(\cosh^{2}\left(f x +e \right)\right)}{\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}\, \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"-(-sinh(f*x+e)*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*b*(a*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))-b*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))+EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a+b*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2)))+(-1/a*b)^(1/2)*a*b*cosh(f*x+e)^4+((-1/a*b)^(1/2)*a^2-(-1/a*b)^(1/2)*a*b)*cosh(f*x+e)^2)/sinh(f*x+e)/(-1/a*b)^(1/2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
86,1,454,323,0.153000," ","int(csch(f*x+e)^4*(a+b*sinh(f*x+e)^2)^(3/2),x)","\frac{2 \sqrt{-\frac{b}{a}}\, a b \left(\sinh^{6}\left(f x +e \right)\right)-4 \sqrt{-\frac{b}{a}}\, b^{2} \left(\sinh^{6}\left(f x +e \right)\right)+b \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a \left(\sinh^{3}\left(f x +e \right)\right)-\sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2} \left(\sinh^{3}\left(f x +e \right)\right)-2 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a b \left(\sinh^{3}\left(f x +e \right)\right)+4 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2} \left(\sinh^{3}\left(f x +e \right)\right)+2 \sqrt{-\frac{b}{a}}\, a^{2} \left(\sinh^{4}\left(f x +e \right)\right)-3 \sqrt{-\frac{b}{a}}\, a b \left(\sinh^{4}\left(f x +e \right)\right)-4 \sqrt{-\frac{b}{a}}\, b^{2} \left(\sinh^{4}\left(f x +e \right)\right)+\sqrt{-\frac{b}{a}}\, a^{2} \left(\sinh^{2}\left(f x +e \right)\right)-5 \sqrt{-\frac{b}{a}}\, a b \left(\sinh^{2}\left(f x +e \right)\right)-\sqrt{-\frac{b}{a}}\, a^{2}}{3 \sinh \left(f x +e \right)^{3} \sqrt{-\frac{b}{a}}\, \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"1/3*(2*(-1/a*b)^(1/2)*a*b*sinh(f*x+e)^6-4*(-1/a*b)^(1/2)*b^2*sinh(f*x+e)^6+b*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*sinh(f*x+e)^3-((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2*sinh(f*x+e)^3-2*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b*sinh(f*x+e)^3+4*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2*sinh(f*x+e)^3+2*(-1/a*b)^(1/2)*a^2*sinh(f*x+e)^4-3*(-1/a*b)^(1/2)*a*b*sinh(f*x+e)^4-4*(-1/a*b)^(1/2)*b^2*sinh(f*x+e)^4+(-1/a*b)^(1/2)*a^2*sinh(f*x+e)^2-5*(-1/a*b)^(1/2)*a*b*sinh(f*x+e)^2-(-1/a*b)^(1/2)*a^2)/sinh(f*x+e)^3/(-1/a*b)^(1/2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
87,1,609,268,0.125000," ","int((a+b*sinh(d*x+c)^2)^(5/2),x)","\frac{3 \sqrt{-\frac{b}{a}}\, b^{3} \sinh \left(d x +c \right) \left(\cosh^{6}\left(d x +c \right)\right)+\left(14 \sqrt{-\frac{b}{a}}\, a \,b^{2}-10 \sqrt{-\frac{b}{a}}\, b^{3}\right) \left(\cosh^{4}\left(d x +c \right)\right) \sinh \left(d x +c \right)+\left(11 \sqrt{-\frac{b}{a}}\, a^{2} b -18 \sqrt{-\frac{b}{a}}\, a \,b^{2}+7 \sqrt{-\frac{b}{a}}\, b^{3}\right) \left(\cosh^{2}\left(d x +c \right)\right) \sinh \left(d x +c \right)+15 a^{3} \sqrt{\frac{b \left(\cosh^{2}\left(d x +c \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 d x +2 c \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(d x +c \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)-34 a^{2} b \sqrt{\frac{b \left(\cosh^{2}\left(d x +c \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 d x +2 c \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(d x +c \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)+27 \sqrt{\frac{b \left(\cosh^{2}\left(d x +c \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 d x +2 c \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(d x +c \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a \,b^{2}-8 \sqrt{\frac{b \left(\cosh^{2}\left(d x +c \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 d x +2 c \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(d x +c \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{3}+23 a^{2} b \sqrt{\frac{b \left(\cosh^{2}\left(d x +c \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 d x +2 c \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(d x +c \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)-23 \sqrt{\frac{b \left(\cosh^{2}\left(d x +c \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 d x +2 c \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(d x +c \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a \,b^{2}+8 \sqrt{\frac{b \left(\cosh^{2}\left(d x +c \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 d x +2 c \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(d x +c \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{3}}{15 \sqrt{-\frac{b}{a}}\, \cosh \left(d x +c \right) \sqrt{a +b \left(\sinh^{2}\left(d x +c \right)\right)}\, d}"," ",0,"1/15*(3*(-1/a*b)^(1/2)*b^3*sinh(d*x+c)*cosh(d*x+c)^6+(14*(-1/a*b)^(1/2)*a*b^2-10*(-1/a*b)^(1/2)*b^3)*cosh(d*x+c)^4*sinh(d*x+c)+(11*(-1/a*b)^(1/2)*a^2*b-18*(-1/a*b)^(1/2)*a*b^2+7*(-1/a*b)^(1/2)*b^3)*cosh(d*x+c)^2*sinh(d*x+c)+15*a^3*(b/a*cosh(d*x+c)^2+(a-b)/a)^(1/2)*(cosh(d*x+c)^2)^(1/2)*EllipticF(sinh(d*x+c)*(-1/a*b)^(1/2),(a/b)^(1/2))-34*a^2*b*(b/a*cosh(d*x+c)^2+(a-b)/a)^(1/2)*(cosh(d*x+c)^2)^(1/2)*EllipticF(sinh(d*x+c)*(-1/a*b)^(1/2),(a/b)^(1/2))+27*(b/a*cosh(d*x+c)^2+(a-b)/a)^(1/2)*(cosh(d*x+c)^2)^(1/2)*EllipticF(sinh(d*x+c)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b^2-8*(b/a*cosh(d*x+c)^2+(a-b)/a)^(1/2)*(cosh(d*x+c)^2)^(1/2)*EllipticF(sinh(d*x+c)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^3+23*a^2*b*(b/a*cosh(d*x+c)^2+(a-b)/a)^(1/2)*(cosh(d*x+c)^2)^(1/2)*EllipticE(sinh(d*x+c)*(-1/a*b)^(1/2),(a/b)^(1/2))-23*(b/a*cosh(d*x+c)^2+(a-b)/a)^(1/2)*(cosh(d*x+c)^2)^(1/2)*EllipticE(sinh(d*x+c)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b^2+8*(b/a*cosh(d*x+c)^2+(a-b)/a)^(1/2)*(cosh(d*x+c)^2)^(1/2)*EllipticE(sinh(d*x+c)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^3)/(-1/a*b)^(1/2)/cosh(d*x+c)/(a+b*sinh(d*x+c)^2)^(1/2)/d","B"
88,1,14,9,0.075000," ","int((1+sinh(x)^2)^(1/2),x)","\frac{\sqrt{\frac{\cosh \left(2 x \right)}{2}+\frac{1}{2}}\, \sinh \left(x \right)}{\cosh \left(x \right)}"," ",0,"(cosh(x)^2)^(1/2)*sinh(x)/cosh(x)","A"
89,1,15,11,0.065000," ","int((-1-sinh(x)^2)^(1/2),x)","-\frac{\cosh \left(x \right) \sinh \left(x \right)}{\sqrt{-\left(\cosh^{2}\left(x \right)\right)}}"," ",0,"-cosh(x)*sinh(x)/(-cosh(x)^2)^(1/2)","A"
90,1,51,21,0.115000," ","int((1-sinh(x)^2)^(1/2),x)","\frac{\sqrt{-\left(-1+\sinh^{2}\left(x \right)\right) \left(\cosh^{2}\left(x \right)\right)}\, \sqrt{\frac{\cosh \left(2 x \right)}{2}+\frac{1}{2}}\, \left(2 \EllipticF \left(\sinh \left(x \right), i\right)-\EllipticE \left(\sinh \left(x \right), i\right)\right)}{\sqrt{1-\left(\sinh^{4}\left(x \right)\right)}\, \cosh \left(x \right)}"," ",0,"(-(-1+sinh(x)^2)*cosh(x)^2)^(1/2)*(cosh(x)^2)^(1/2)*(2*EllipticF(sinh(x),I)-EllipticE(sinh(x),I))/(1-sinh(x)^4)^(1/2)/cosh(x)","B"
91,1,61,39,0.098000," ","int((-1+sinh(x)^2)^(1/2),x)","\frac{i \sqrt{\left(-1+\sinh^{2}\left(x \right)\right) \left(\cosh^{2}\left(x \right)\right)}\, \sqrt{\frac{\cosh \left(2 x \right)}{2}+\frac{1}{2}}\, \sqrt{1-\left(\sinh^{2}\left(x \right)\right)}\, \EllipticE \left(i \sinh \left(x \right), i\right)}{\sqrt{\sinh^{4}\left(x \right)-1}\, \cosh \left(x \right) \sqrt{-1+\sinh^{2}\left(x \right)}}"," ",0,"I*((-1+sinh(x)^2)*cosh(x)^2)^(1/2)*(cosh(x)^2)^(1/2)*(1-sinh(x)^2)^(1/2)*EllipticE(I*sinh(x),I)/(sinh(x)^4-1)^(1/2)/cosh(x)/(-1+sinh(x)^2)^(1/2)","A"
92,1,109,49,0.103000," ","int((a+b*sinh(x)^2)^(1/2),x)","\frac{\sqrt{\frac{a +b \left(\sinh^{2}\left(x \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 x \right)}{2}+\frac{1}{2}}\, \left(a \EllipticF \left(\sinh \left(x \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)-b \EllipticF \left(\sinh \left(x \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)+b \EllipticE \left(\sinh \left(x \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)\right)}{\sqrt{-\frac{b}{a}}\, \cosh \left(x \right) \sqrt{a +b \left(\sinh^{2}\left(x \right)\right)}}"," ",0,"((a+b*sinh(x)^2)/a)^(1/2)*(cosh(x)^2)^(1/2)*(a*EllipticF(sinh(x)*(-1/a*b)^(1/2),(a/b)^(1/2))-b*EllipticF(sinh(x)*(-1/a*b)^(1/2),(a/b)^(1/2))+b*EllipticE(sinh(x)*(-1/a*b)^(1/2),(a/b)^(1/2)))/(-1/a*b)^(1/2)/cosh(x)/(a+b*sinh(x)^2)^(1/2)","B"
93,1,21,21,0.072000," ","int((1+sinh(x)^2)^(3/2),x)","\frac{\sqrt{\frac{\cosh \left(2 x \right)}{2}+\frac{1}{2}}\, \sinh \left(x \right) \left(\sinh^{2}\left(x \right)+3\right)}{3 \cosh \left(x \right)}"," ",0,"1/3*(cosh(x)^2)^(1/2)*sinh(x)*(sinh(x)^2+3)/cosh(x)","A"
94,1,21,25,0.065000," ","int((-1-sinh(x)^2)^(3/2),x)","\frac{\cosh \left(x \right) \sinh \left(x \right) \left(\cosh^{2}\left(x \right)+2\right)}{3 \sqrt{-\left(\cosh^{2}\left(x \right)\right)}}"," ",0,"1/3*cosh(x)*sinh(x)*(cosh(x)^2+2)/(-cosh(x)^2)^(1/2)","A"
95,1,103,59,0.131000," ","int((1-sinh(x)^2)^(3/2),x)","\frac{\sqrt{-\left(-1+\sinh^{2}\left(x \right)\right) \left(\cosh^{2}\left(x \right)\right)}\, \left(\sinh \left(x \right) \left(\cosh^{4}\left(x \right)\right)+10 \sqrt{-\left(\cosh^{2}\left(x \right)\right)+2}\, \sqrt{\frac{\cosh \left(2 x \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(x \right), i\right)-6 \sqrt{-\left(\cosh^{2}\left(x \right)\right)+2}\, \sqrt{\frac{\cosh \left(2 x \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(x \right), i\right)-2 \left(\cosh^{2}\left(x \right)\right) \sinh \left(x \right)\right)}{3 \sqrt{1-\left(\sinh^{4}\left(x \right)\right)}\, \cosh \left(x \right) \sqrt{1-\left(\sinh^{2}\left(x \right)\right)}}"," ",0,"1/3*(-(-1+sinh(x)^2)*cosh(x)^2)^(1/2)*(sinh(x)*cosh(x)^4+10*(-cosh(x)^2+2)^(1/2)*(cosh(x)^2)^(1/2)*EllipticF(sinh(x),I)-6*(-cosh(x)^2+2)^(1/2)*(cosh(x)^2)^(1/2)*EllipticE(sinh(x),I)-2*cosh(x)^2*sinh(x))/(1-sinh(x)^4)^(1/2)/cosh(x)/(1-sinh(x)^2)^(1/2)","A"
96,1,106,93,0.128000," ","int((-1+sinh(x)^2)^(3/2),x)","\frac{\sqrt{\left(-1+\sinh^{2}\left(x \right)\right) \left(\cosh^{2}\left(x \right)\right)}\, \left(\sinh \left(x \right) \left(\cosh^{4}\left(x \right)\right)+2 i \sqrt{\frac{\cosh \left(2 x \right)}{2}+\frac{1}{2}}\, \sqrt{-\left(\cosh^{2}\left(x \right)\right)+2}\, \EllipticF \left(i \sinh \left(x \right), i\right)-6 i \sqrt{\frac{\cosh \left(2 x \right)}{2}+\frac{1}{2}}\, \sqrt{-\left(\cosh^{2}\left(x \right)\right)+2}\, \EllipticE \left(i \sinh \left(x \right), i\right)-2 \left(\cosh^{2}\left(x \right)\right) \sinh \left(x \right)\right)}{3 \sqrt{\sinh^{4}\left(x \right)-1}\, \cosh \left(x \right) \sqrt{-1+\sinh^{2}\left(x \right)}}"," ",0,"1/3*((-1+sinh(x)^2)*cosh(x)^2)^(1/2)*(sinh(x)*cosh(x)^4+2*I*(cosh(x)^2)^(1/2)*(-cosh(x)^2+2)^(1/2)*EllipticF(I*sinh(x),I)-6*I*(cosh(x)^2)^(1/2)*(-cosh(x)^2+2)^(1/2)*EllipticE(I*sinh(x),I)-2*cosh(x)^2*sinh(x))/(sinh(x)^4-1)^(1/2)/cosh(x)/(-1+sinh(x)^2)^(1/2)","A"
97,1,329,129,0.113000," ","int((a+b*sinh(x)^2)^(3/2),x)","\frac{\sqrt{-\frac{b}{a}}\, b^{2} \sinh \left(x \right) \left(\cosh^{4}\left(x \right)\right)+\left(\sqrt{-\frac{b}{a}}\, a b -\sqrt{-\frac{b}{a}}\, b^{2}\right) \left(\cosh^{2}\left(x \right)\right) \sinh \left(x \right)+3 a^{2} \sqrt{\frac{b \left(\cosh^{2}\left(x \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 x \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(x \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)-5 a b \sqrt{\frac{b \left(\cosh^{2}\left(x \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 x \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(x \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)+2 \sqrt{\frac{b \left(\cosh^{2}\left(x \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 x \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(x \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2}+4 a b \sqrt{\frac{b \left(\cosh^{2}\left(x \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 x \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(x \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)-2 \sqrt{\frac{b \left(\cosh^{2}\left(x \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 x \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(x \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2}}{3 \sqrt{-\frac{b}{a}}\, \cosh \left(x \right) \sqrt{a +b \left(\sinh^{2}\left(x \right)\right)}}"," ",0,"1/3*((-1/a*b)^(1/2)*b^2*sinh(x)*cosh(x)^4+((-1/a*b)^(1/2)*a*b-(-1/a*b)^(1/2)*b^2)*cosh(x)^2*sinh(x)+3*a^2*(b/a*cosh(x)^2+(a-b)/a)^(1/2)*(cosh(x)^2)^(1/2)*EllipticF(sinh(x)*(-1/a*b)^(1/2),(a/b)^(1/2))-5*a*b*(b/a*cosh(x)^2+(a-b)/a)^(1/2)*(cosh(x)^2)^(1/2)*EllipticF(sinh(x)*(-1/a*b)^(1/2),(a/b)^(1/2))+2*(b/a*cosh(x)^2+(a-b)/a)^(1/2)*(cosh(x)^2)^(1/2)*EllipticF(sinh(x)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2+4*a*b*(b/a*cosh(x)^2+(a-b)/a)^(1/2)*(cosh(x)^2)^(1/2)*EllipticE(sinh(x)*(-1/a*b)^(1/2),(a/b)^(1/2))-2*(b/a*cosh(x)^2+(a-b)/a)^(1/2)*(cosh(x)^2)^(1/2)*EllipticE(sinh(x)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2)/(-1/a*b)^(1/2)/cosh(x)/(a+b*sinh(x)^2)^(1/2)","B"
98,1,204,71,0.128000," ","int(sinh(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(1/2),x)","\frac{\sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \left(2 b^{\frac{3}{2}} \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}-b^{2} \ln \left(\frac{2 b \left(\cosh^{2}\left(f x +e \right)\right)+2 \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \sqrt{b}+a -b}{2 \sqrt{b}}\right)-b a \ln \left(\frac{2 b \left(\cosh^{2}\left(f x +e \right)\right)+2 \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \sqrt{b}+a -b}{2 \sqrt{b}}\right)\right)}{4 b^{\frac{5}{2}} \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"1/4*((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)*(2*b^(3/2)*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)-b^2*ln(1/2*(2*b*cosh(f*x+e)^2+2*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)*b^(1/2)+a-b)/b^(1/2))-b*a*ln(1/2*(2*b*cosh(f*x+e)^2+2*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)*b^(1/2)+a-b)/b^(1/2)))/b^(5/2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","B"
99,1,108,35,0.090000," ","int(sinh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2),x)","\frac{\sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \ln \left(\frac{2 b \left(\cosh^{2}\left(f x +e \right)\right)+2 \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \sqrt{b}+a -b}{2 \sqrt{b}}\right)}{2 \sqrt{b}\, \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"1/2*((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)*ln(1/2*(2*b*cosh(f*x+e)^2+2*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)*b^(1/2)+a-b)/b^(1/2))/b^(1/2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","B"
100,1,113,36,0.122000," ","int(csch(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2),x)","-\frac{\sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \ln \left(\frac{\left(a +b \right) \left(\cosh^{2}\left(f x +e \right)\right)+2 \sqrt{a}\, \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}+a -b}{\sinh \left(f x +e \right)^{2}}\right)}{2 \sqrt{a}\, \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"-1/2*((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)/a^(1/2)*ln(((a+b)*cosh(f*x+e)^2+2*a^(1/2)*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)+a-b)/sinh(f*x+e)^2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","B"
101,1,234,77,0.158000," ","int(csch(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(1/2),x)","-\frac{\sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \left(-\ln \left(\frac{\left(a +b \right) \left(\cosh^{2}\left(f x +e \right)\right)+2 \sqrt{a}\, \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}+a -b}{\sinh \left(f x +e \right)^{2}}\right) \left(\sinh^{2}\left(f x +e \right)\right) a^{2}-\ln \left(\frac{\left(a +b \right) \left(\cosh^{2}\left(f x +e \right)\right)+2 \sqrt{a}\, \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}+a -b}{\sinh \left(f x +e \right)^{2}}\right) b \left(\sinh^{2}\left(f x +e \right)\right) a +2 a^{\frac{3}{2}} \sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}\right)}{4 \sinh \left(f x +e \right)^{2} a^{\frac{5}{2}} \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"-1/4*((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)*(-ln(((a+b)*cosh(f*x+e)^2+2*a^(1/2)*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)+a-b)/sinh(f*x+e)^2)*sinh(f*x+e)^2*a^2-ln(((a+b)*cosh(f*x+e)^2+2*a^(1/2)*(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)+a-b)/sinh(f*x+e)^2)*b*sinh(f*x+e)^2*a+2*a^(3/2)*((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2))/sinh(f*x+e)^2/a^(5/2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","B"
102,1,344,289,0.109000," ","int(sinh(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(1/2),x)","\frac{\sqrt{-\frac{b}{a}}\, b \sinh \left(f x +e \right) \left(\cosh^{4}\left(f x +e \right)\right)+\left(\sqrt{-\frac{b}{a}}\, a -\sqrt{-\frac{b}{a}}\, b \right) \left(\cosh^{2}\left(f x +e \right)\right) \sinh \left(f x +e \right)+a \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)+2 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b -2 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a -2 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b}{3 b \sqrt{-\frac{b}{a}}\, \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"1/3*((-1/a*b)^(1/2)*b*sinh(f*x+e)*cosh(f*x+e)^4+((-1/a*b)^(1/2)*a-(-1/a*b)^(1/2)*b)*cosh(f*x+e)^2*sinh(f*x+e)+a*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))+2*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b-2*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a-2*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b)/b/(-1/a*b)^(1/2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
103,1,113,176,0.105000," ","int(sinh(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(1/2),x)","-\frac{\sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \left(\EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)-\EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)\right)}{\sqrt{-\frac{b}{a}}\, \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"-1/(-1/a*b)^(1/2)*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*(EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))-EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2)))/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
104,1,86,84,0.079000," ","int(1/(a+b*sinh(f*x+e)^2)^(1/2),x)","\frac{\sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)}{\sqrt{-\frac{b}{a}}\, \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"1/(-1/a*b)^(1/2)*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
105,1,189,166,0.135000," ","int(csch(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(1/2),x)","-\frac{\sinh \left(f x +e \right) \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, b \left(\EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)-\EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)\right)+\sqrt{-\frac{b}{a}}\, b \left(\cosh^{4}\left(f x +e \right)\right)+\left(\sqrt{-\frac{b}{a}}\, a -\sqrt{-\frac{b}{a}}\, b \right) \left(\cosh^{2}\left(f x +e \right)\right)}{a \sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}\, \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"-(sinh(f*x+e)*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*b*(EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))-EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2)))+(-1/a*b)^(1/2)*b*cosh(f*x+e)^4+((-1/a*b)^(1/2)*a-(-1/a*b)^(1/2)*b)*cosh(f*x+e)^2)/a/sinh(f*x+e)/(-1/a*b)^(1/2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
106,1,456,323,0.158000," ","int(csch(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(1/2),x)","\frac{2 \sqrt{-\frac{b}{a}}\, a b \left(\sinh^{6}\left(f x +e \right)\right)+2 \sqrt{-\frac{b}{a}}\, b^{2} \left(\sinh^{6}\left(f x +e \right)\right)+b \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a \left(\sinh^{3}\left(f x +e \right)\right)+2 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2} \left(\sinh^{3}\left(f x +e \right)\right)-2 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a b \left(\sinh^{3}\left(f x +e \right)\right)-2 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2} \left(\sinh^{3}\left(f x +e \right)\right)+2 \sqrt{-\frac{b}{a}}\, a^{2} \left(\sinh^{4}\left(f x +e \right)\right)+3 \sqrt{-\frac{b}{a}}\, a b \left(\sinh^{4}\left(f x +e \right)\right)+2 \sqrt{-\frac{b}{a}}\, b^{2} \left(\sinh^{4}\left(f x +e \right)\right)+\sqrt{-\frac{b}{a}}\, a^{2} \left(\sinh^{2}\left(f x +e \right)\right)+\sqrt{-\frac{b}{a}}\, a b \left(\sinh^{2}\left(f x +e \right)\right)-\sqrt{-\frac{b}{a}}\, a^{2}}{3 a^{2} \sinh \left(f x +e \right)^{3} \sqrt{-\frac{b}{a}}\, \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"1/3*(2*(-1/a*b)^(1/2)*a*b*sinh(f*x+e)^6+2*(-1/a*b)^(1/2)*b^2*sinh(f*x+e)^6+b*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*sinh(f*x+e)^3+2*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2*sinh(f*x+e)^3-2*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b*sinh(f*x+e)^3-2*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2*sinh(f*x+e)^3+2*(-1/a*b)^(1/2)*a^2*sinh(f*x+e)^4+3*(-1/a*b)^(1/2)*a*b*sinh(f*x+e)^4+2*(-1/a*b)^(1/2)*b^2*sinh(f*x+e)^4+(-1/a*b)^(1/2)*a^2*sinh(f*x+e)^2+(-1/a*b)^(1/2)*a*b*sinh(f*x+e)^2-(-1/a*b)^(1/2)*a^2)/a^2/sinh(f*x+e)^3/(-1/a*b)^(1/2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
107,1,146,75,0.177000," ","int(sinh(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(3/2),x)","\frac{\sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \left(\frac{\ln \left(\frac{\frac{a}{2}+\frac{b}{2}+b \left(\sinh^{2}\left(f x +e \right)\right)}{\sqrt{b}}+\sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}\right)}{2 b^{\frac{3}{2}}}-\frac{a \left(\cosh^{2}\left(f x +e \right)\right)}{b \left(a -b \right) \sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}}\right)}{\cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)*(1/2/b^(3/2)*ln((1/2*a+1/2*b+b*sinh(f*x+e)^2)/b^(1/2)+((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2))-a/b*cosh(f*x+e)^2/(a-b)/((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2))/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
108,1,32,34,0.082000," ","int(sinh(f*x+e)/(a+b*sinh(f*x+e)^2)^(3/2),x)","\frac{\cosh \left(f x +e \right)}{\left(a -b \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"cosh(f*x+e)/(a-b)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
109,1,154,76,0.184000," ","int(csch(f*x+e)/(a+b*sinh(f*x+e)^2)^(3/2),x)","\frac{\sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \left(-\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a \left(a -b \right) \sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}}-\frac{\ln \left(\frac{2 a +\left(a +b \right) \left(\sinh^{2}\left(f x +e \right)\right)+2 \sqrt{a}\, \sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}}{\sinh \left(f x +e \right)^{2}}\right)}{2 a^{\frac{3}{2}}}\right)}{\cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)*(-1/a*b*cosh(f*x+e)^2/(a-b)/((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)-1/2/a^(3/2)*ln((2*a+(a+b)*sinh(f*x+e)^2+2*a^(1/2)*((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2))/sinh(f*x+e)^2))/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","B"
110,1,251,123,0.213000," ","int(csch(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(3/2),x)","\frac{\sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \left(\frac{b^{2} \left(\cosh^{2}\left(f x +e \right)\right)}{a^{2} \left(a -b \right) \sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}}-\frac{\sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}}{2 a^{2} \sinh \left(f x +e \right)^{2}}+\frac{\ln \left(\frac{2 a +\left(a +b \right) \left(\sinh^{2}\left(f x +e \right)\right)+2 \sqrt{a}\, \sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}}{\sinh \left(f x +e \right)^{2}}\right)}{4 a^{\frac{3}{2}}}+\frac{3 b \ln \left(\frac{2 a +\left(a +b \right) \left(\sinh^{2}\left(f x +e \right)\right)+2 \sqrt{a}\, \sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}}{\sinh \left(f x +e \right)^{2}}\right)}{4 a^{\frac{5}{2}}}\right)}{\cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)*(b^2/a^2*cosh(f*x+e)^2/(a-b)/((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)-1/2/a^2/sinh(f*x+e)^2*((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)+1/4/a^(3/2)*ln((2*a+(a+b)*sinh(f*x+e)^2+2*a^(1/2)*((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2))/sinh(f*x+e)^2)+3/4/a^(5/2)*b*ln((2*a+(a+b)*sinh(f*x+e)^2+2*a^(1/2)*((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2))/sinh(f*x+e)^2))/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","B"
111,1,500,399,0.159000," ","int(sinh(f*x+e)^6/(a+b*sinh(f*x+e)^2)^(3/2),x)","\frac{\sqrt{-\frac{b}{a}}\, a b \left(\sinh^{5}\left(f x +e \right)\right)-\sqrt{-\frac{b}{a}}\, b^{2} \left(\sinh^{5}\left(f x +e \right)\right)+4 \sqrt{-\frac{b}{a}}\, a^{2} \left(\sinh^{3}\left(f x +e \right)\right)-\sqrt{-\frac{b}{a}}\, b^{2} \left(\sinh^{3}\left(f x +e \right)\right)+4 a^{2} \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)-2 a \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b -2 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2}-8 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{2}+3 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a b +2 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2}+4 \sqrt{-\frac{b}{a}}\, a^{2} \sinh \left(f x +e \right)-\sqrt{-\frac{b}{a}}\, a b \sinh \left(f x +e \right)}{3 b^{2} \left(a -b \right) \sqrt{-\frac{b}{a}}\, \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"1/3*((-1/a*b)^(1/2)*a*b*sinh(f*x+e)^5-(-1/a*b)^(1/2)*b^2*sinh(f*x+e)^5+4*(-1/a*b)^(1/2)*a^2*sinh(f*x+e)^3-(-1/a*b)^(1/2)*b^2*sinh(f*x+e)^3+4*a^2*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))-2*a*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b-2*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2-8*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^2+3*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b+2*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2+4*(-1/a*b)^(1/2)*a^2*sinh(f*x+e)-(-1/a*b)^(1/2)*a*b*sinh(f*x+e))/b^2/(a-b)/(-1/a*b)^(1/2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
112,1,313,324,0.126000," ","int(sinh(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(3/2),x)","-\frac{\sqrt{-\frac{b}{a}}\, a \sinh \left(f x +e \right) \left(\cosh^{2}\left(f x +e \right)\right)+a \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)-\sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b -2 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a +\sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b}{b \left(a -b \right) \sqrt{-\frac{b}{a}}\, \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"-1/b*((-1/a*b)^(1/2)*a*sinh(f*x+e)*cosh(f*x+e)^2+a*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))-(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b-2*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a+(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b)/(a-b)/(-1/a*b)^(1/2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
113,1,127,219,0.126000," ","int(sinh(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(3/2),x)","-\frac{-\sqrt{-\frac{b}{a}}\, \sinh \left(f x +e \right) \left(\cosh^{2}\left(f x +e \right)\right)+\sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)}{\left(a -b \right) \sqrt{-\frac{b}{a}}\, \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"-(-(-1/a*b)^(1/2)*sinh(f*x+e)*cosh(f*x+e)^2+(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2)))/(a-b)/(-1/a*b)^(1/2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
114,1,253,137,0.126000," ","int(1/(a+b*sinh(f*x+e)^2)^(3/2),x)","-\frac{\sqrt{-\frac{b}{a}}\, b \sinh \left(f x +e \right) \left(\cosh^{2}\left(f x +e \right)\right)-a \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)+\sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b -\sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b}{a \left(a -b \right) \sqrt{-\frac{b}{a}}\, \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"-((-1/a*b)^(1/2)*b*sinh(f*x+e)*cosh(f*x+e)^2-a*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))+(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b-(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b)/a/(a-b)/(-1/a*b)^(1/2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
115,1,284,356,0.171000," ","int(csch(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(3/2),x)","-\frac{\sinh \left(f x +e \right) \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, b \left(2 a \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)-2 b \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)-\EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a +2 b \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)\right)+\left(\sqrt{-\frac{b}{a}}\, a b -2 \sqrt{-\frac{b}{a}}\, b^{2}\right) \left(\cosh^{4}\left(f x +e \right)\right)+\left(\sqrt{-\frac{b}{a}}\, a^{2}-2 \sqrt{-\frac{b}{a}}\, a b +2 \sqrt{-\frac{b}{a}}\, b^{2}\right) \left(\cosh^{2}\left(f x +e \right)\right)}{a^{2} \left(a -b \right) \sqrt{-\frac{b}{a}}\, \sinh \left(f x +e \right) \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"-(sinh(f*x+e)*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*b*(2*a*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))-2*b*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))-EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a+2*b*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2)))+((-1/a*b)^(1/2)*a*b-2*(-1/a*b)^(1/2)*b^2)*cosh(f*x+e)^4+((-1/a*b)^(1/2)*a^2-2*(-1/a*b)^(1/2)*a*b+2*(-1/a*b)^(1/2)*b^2)*cosh(f*x+e)^2)/a^2/(a-b)/(-1/a*b)^(1/2)/sinh(f*x+e)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
116,1,230,129,0.327000," ","int(sinh(f*x+e)^5/(a+b*sinh(f*x+e)^2)^(5/2),x)","\frac{\sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \left(\frac{\ln \left(\frac{\frac{a}{2}+\frac{b}{2}+b \left(\sinh^{2}\left(f x +e \right)\right)}{\sqrt{b}}+\sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}\right)}{2 b^{\frac{5}{2}}}-\frac{2 a \left(\cosh^{2}\left(f x +e \right)\right)}{b^{2} \left(a -b \right) \sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}}+\frac{a^{2} \left(2 b \left(\sinh^{2}\left(f x +e \right)\right)+3 a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}{3 b^{2} \sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(a^{2}-2 a b +b^{2}\right)}\right)}{\cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)*(1/2/b^(5/2)*ln((1/2*a+1/2*b+b*sinh(f*x+e)^2)/b^(1/2)+((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2))-2*a/b^2*cosh(f*x+e)^2/(a-b)/((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)+1/3*a^2/b^2*(2*b*sinh(f*x+e)^2+3*a-b)*cosh(f*x+e)^2/((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)/(a+b*sinh(f*x+e)^2)/(a^2-2*a*b+b^2))/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
117,1,64,79,0.115000," ","int(sinh(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(5/2),x)","\frac{\left(a \left(\sinh^{2}\left(f x +e \right)\right)-3 b \left(\sinh^{2}\left(f x +e \right)\right)-2 a \right) \cosh \left(f x +e \right)}{3 \left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right)^{\frac{3}{2}} \left(a^{2}-2 a b +b^{2}\right) f}"," ",0,"1/3*(a*sinh(f*x+e)^2-3*b*sinh(f*x+e)^2-2*a)*cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(3/2)/(a^2-2*a*b+b^2)/f","A"
118,1,57,71,0.097000," ","int(sinh(f*x+e)/(a+b*sinh(f*x+e)^2)^(5/2),x)","\frac{\left(2 b \left(\sinh^{2}\left(f x +e \right)\right)+3 a -b \right) \cosh \left(f x +e \right)}{3 \left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right)^{\frac{3}{2}} \left(a^{2}-2 a b +b^{2}\right) f}"," ",0,"1/3*(2*b*sinh(f*x+e)^2+3*a-b)*cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(3/2)/(a^2-2*a*b+b^2)/f","A"
119,1,236,122,0.248000," ","int(csch(f*x+e)/(a+b*sinh(f*x+e)^2)^(5/2),x)","\frac{\sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \left(-\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a^{2} \left(a -b \right) \sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}}-\frac{b \left(2 b \left(\sinh^{2}\left(f x +e \right)\right)+3 a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}{3 a \sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(a^{2}-2 a b +b^{2}\right)}-\frac{\ln \left(\frac{2 a +\left(a +b \right) \left(\sinh^{2}\left(f x +e \right)\right)+2 \sqrt{a}\, \sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}}{\sinh \left(f x +e \right)^{2}}\right)}{2 a^{\frac{5}{2}}}\right)}{\cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)*(-1/a^2*b*cosh(f*x+e)^2/(a-b)/((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)-1/3/a*b*(2*b*sinh(f*x+e)^2+3*a-b)*cosh(f*x+e)^2/((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)/(a+b*sinh(f*x+e)^2)/(a^2-2*a*b+b^2)-1/2/a^(5/2)*ln((2*a+(a+b)*sinh(f*x+e)^2+2*a^(1/2)*((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2))/sinh(f*x+e)^2))/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
120,1,868,400,0.247000," ","int(sinh(f*x+e)^6/(a+b*sinh(f*x+e)^2)^(5/2),x)","-\frac{\left(5 \sqrt{-\frac{b}{a}}\, a^{2} b -7 \sqrt{-\frac{b}{a}}\, a \,b^{2}\right) \sinh \left(f x +e \right) \left(\cosh^{4}\left(f x +e \right)\right)+\left(4 \sqrt{-\frac{b}{a}}\, a^{3}-11 \sqrt{-\frac{b}{a}}\, a^{2} b +7 \sqrt{-\frac{b}{a}}\, a \,b^{2}\right) \left(\cosh^{2}\left(f x +e \right)\right) \sinh \left(f x +e \right)+\sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, b \left(4 \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{2}-7 \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a b +3 \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2}-8 \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{2}+13 \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a b -3 \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2}\right) \left(\cosh^{2}\left(f x +e \right)\right)+4 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{3}-11 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{2} b +10 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a \,b^{2}-3 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{3}-8 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{3}+21 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{2} b -16 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a \,b^{2}+3 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{3}}{3 \sqrt{-\frac{b}{a}}\, \left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right)^{\frac{3}{2}} \left(a -b \right)^{2} b^{2} \cosh \left(f x +e \right) f}"," ",0,"-1/3*((5*(-1/a*b)^(1/2)*a^2*b-7*(-1/a*b)^(1/2)*a*b^2)*sinh(f*x+e)*cosh(f*x+e)^4+(4*(-1/a*b)^(1/2)*a^3-11*(-1/a*b)^(1/2)*a^2*b+7*(-1/a*b)^(1/2)*a*b^2)*cosh(f*x+e)^2*sinh(f*x+e)+(cosh(f*x+e)^2)^(1/2)*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*b*(4*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^2-7*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b+3*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2-8*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^2+13*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b-3*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2)*cosh(f*x+e)^2+4*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^3-11*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^2*b+10*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b^2-3*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^3-8*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^3+21*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^2*b-16*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b^2+3*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^3)/(-1/a*b)^(1/2)/(a+b*sinh(f*x+e)^2)^(3/2)/(a-b)^2/b^2/cosh(f*x+e)/f","B"
121,1,659,314,0.171000," ","int(sinh(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(5/2),x)","\frac{2 \sqrt{-\frac{b}{a}}\, a b \left(\sinh^{5}\left(f x +e \right)\right)-4 \sqrt{-\frac{b}{a}}\, b^{2} \left(\sinh^{5}\left(f x +e \right)\right)+\sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a b \left(\sinh^{2}\left(f x +e \right)\right)-\sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2} \left(\sinh^{2}\left(f x +e \right)\right)-2 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a b \left(\sinh^{2}\left(f x +e \right)\right)+4 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2} \left(\sinh^{2}\left(f x +e \right)\right)+\sqrt{-\frac{b}{a}}\, a^{2} \left(\sinh^{3}\left(f x +e \right)\right)-\sqrt{-\frac{b}{a}}\, a b \left(\sinh^{3}\left(f x +e \right)\right)-4 \sqrt{-\frac{b}{a}}\, b^{2} \left(\sinh^{3}\left(f x +e \right)\right)+a^{2} \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)-a \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b -2 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{2}+4 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a b +\sqrt{-\frac{b}{a}}\, a^{2} \sinh \left(f x +e \right)-3 \sqrt{-\frac{b}{a}}\, a b \sinh \left(f x +e \right)}{3 \sqrt{-\frac{b}{a}}\, \left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right)^{\frac{3}{2}} \left(a -b \right)^{2} b \cosh \left(f x +e \right) f}"," ",0,"1/3*(2*(-1/a*b)^(1/2)*a*b*sinh(f*x+e)^5-4*(-1/a*b)^(1/2)*b^2*sinh(f*x+e)^5+((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b*sinh(f*x+e)^2-((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2*sinh(f*x+e)^2-2*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b*sinh(f*x+e)^2+4*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2*sinh(f*x+e)^2+(-1/a*b)^(1/2)*a^2*sinh(f*x+e)^3-(-1/a*b)^(1/2)*a*b*sinh(f*x+e)^3-4*(-1/a*b)^(1/2)*b^2*sinh(f*x+e)^3+a^2*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))-a*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b-2*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^2+4*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b+(-1/a*b)^(1/2)*a^2*sinh(f*x+e)-3*(-1/a*b)^(1/2)*a*b*sinh(f*x+e))/(-1/a*b)^(1/2)/(a+b*sinh(f*x+e)^2)^(3/2)/(a-b)^2/b/cosh(f*x+e)/f","B"
122,1,598,277,0.165000," ","int(sinh(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(5/2),x)","-\frac{\left(-\sqrt{-\frac{b}{a}}\, a b -\sqrt{-\frac{b}{a}}\, b^{2}\right) \sinh \left(f x +e \right) \left(\cosh^{4}\left(f x +e \right)\right)+\left(-2 \sqrt{-\frac{b}{a}}\, a^{2}+\sqrt{-\frac{b}{a}}\, a b +\sqrt{-\frac{b}{a}}\, b^{2}\right) \left(\cosh^{2}\left(f x +e \right)\right) \sinh \left(f x +e \right)+\sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, b \left(a \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)-b \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)+\EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a +b \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)+a^{2} \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)-2 a \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b +\sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2}+\sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{2}-\sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2}}{3 \sqrt{-\frac{b}{a}}\, \left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right)^{\frac{3}{2}} \left(a -b \right)^{2} a \cosh \left(f x +e \right) f}"," ",0,"-1/3*((-(-1/a*b)^(1/2)*a*b-(-1/a*b)^(1/2)*b^2)*sinh(f*x+e)*cosh(f*x+e)^4+(-2*(-1/a*b)^(1/2)*a^2+(-1/a*b)^(1/2)*a*b+(-1/a*b)^(1/2)*b^2)*cosh(f*x+e)^2*sinh(f*x+e)+(cosh(f*x+e)^2)^(1/2)*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*b*(a*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))-b*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))+EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a+b*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2)))*cosh(f*x+e)^2+a^2*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))-2*a*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b+(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2+(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^2-(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2)/(-1/a*b)^(1/2)/(a+b*sinh(f*x+e)^2)^(3/2)/(a-b)^2/a/cosh(f*x+e)/f","B"
123,1,406,287,0.349000," ","int(1/(a+b*sinh(f*x+e)^2)^(5/2),x)","\frac{\sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \left(-\frac{\sinh \left(f x +e \right) \sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}}{3 a b \left(a -b \right) \left(\sinh^{2}\left(f x +e \right)+\frac{a}{b}\right)^{2}}-\frac{2 b \left(\cosh^{2}\left(f x +e \right)\right) \sinh \left(f x +e \right) \left(2 a -b \right)}{3 a^{2} \left(a -b \right)^{2} \sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}}+\frac{\left(3 a -b \right) \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)}{\left(3 a^{3}-6 a^{2} b +3 a \,b^{2}\right) \sqrt{-\frac{b}{a}}\, \sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}}-\frac{2 b \left(2 a -b \right) \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \left(\EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)-\EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)\right)}{3 a^{2} \left(a -b \right)^{2} \sqrt{-\frac{b}{a}}\, \sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}}\right)}{\cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)*(-1/3/a/b/(a-b)*sinh(f*x+e)*((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)/(sinh(f*x+e)^2+a/b)^2-2/3*b*cosh(f*x+e)^2/a^2/(a-b)^2*sinh(f*x+e)*(2*a-b)/((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)+(3*a-b)/(3*a^3-6*a^2*b+3*a*b^2)/(-1/a*b)^(1/2)*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)/((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))-2/3*b*(2*a-b)/a^2/(a-b)^2/(-1/a*b)^(1/2)*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)/((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)*(EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))-EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))))/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
124,1,747,437,0.213000," ","int(csch(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(5/2),x)","-\frac{\sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, b^{2} \left(9 \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{2}-17 \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a b +8 \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2}-3 \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{2}+13 \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a b -8 \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2}\right) \sinh \left(f x +e \right) \left(\cosh^{2}\left(f x +e \right)\right)+\sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, b \left(9 \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{3}-26 \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{2} b +25 \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a \,b^{2}-8 \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{3}-3 \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{3}+16 \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{2} b -21 \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a \,b^{2}+8 \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{3}\right) \sinh \left(f x +e \right)+\left(3 \sqrt{-\frac{b}{a}}\, a^{2} b^{2}-13 \sqrt{-\frac{b}{a}}\, a \,b^{3}+8 \sqrt{-\frac{b}{a}}\, b^{4}\right) \left(\cosh^{6}\left(f x +e \right)\right)+\left(6 \sqrt{-\frac{b}{a}}\, a^{3} b -26 \sqrt{-\frac{b}{a}}\, a^{2} b^{2}+38 \sqrt{-\frac{b}{a}}\, a \,b^{3}-16 \sqrt{-\frac{b}{a}}\, b^{4}\right) \left(\cosh^{4}\left(f x +e \right)\right)+\left(3 \sqrt{-\frac{b}{a}}\, a^{4}-12 \sqrt{-\frac{b}{a}}\, a^{3} b +26 \sqrt{-\frac{b}{a}}\, a^{2} b^{2}-25 \sqrt{-\frac{b}{a}}\, a \,b^{3}+8 \sqrt{-\frac{b}{a}}\, b^{4}\right) \left(\cosh^{2}\left(f x +e \right)\right)}{3 \left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right)^{\frac{3}{2}} \sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}\, \left(a -b \right)^{2} a^{3} \cosh \left(f x +e \right) f}"," ",0,"-1/3*((cosh(f*x+e)^2)^(1/2)*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*b^2*(9*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^2-17*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b+8*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2-3*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^2+13*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b-8*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2)*sinh(f*x+e)*cosh(f*x+e)^2+(cosh(f*x+e)^2)^(1/2)*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*b*(9*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^3-26*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^2*b+25*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b^2-8*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^3-3*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^3+16*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^2*b-21*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b^2+8*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^3)*sinh(f*x+e)+(3*(-1/a*b)^(1/2)*a^2*b^2-13*(-1/a*b)^(1/2)*a*b^3+8*(-1/a*b)^(1/2)*b^4)*cosh(f*x+e)^6+(6*(-1/a*b)^(1/2)*a^3*b-26*(-1/a*b)^(1/2)*a^2*b^2+38*(-1/a*b)^(1/2)*a*b^3-16*(-1/a*b)^(1/2)*b^4)*cosh(f*x+e)^4+(3*(-1/a*b)^(1/2)*a^4-12*(-1/a*b)^(1/2)*a^3*b+26*(-1/a*b)^(1/2)*a^2*b^2-25*(-1/a*b)^(1/2)*a*b^3+8*(-1/a*b)^(1/2)*b^4)*cosh(f*x+e)^2)/(a+b*sinh(f*x+e)^2)^(3/2)/sinh(f*x+e)/(-1/a*b)^(1/2)/(a-b)^2/a^3/cosh(f*x+e)/f","A"
125,1,15,12,0.083000," ","int(1/(1+sinh(x)^2)^(1/2),x)","\frac{\sqrt{\frac{\cosh \left(2 x \right)}{2}+\frac{1}{2}}\, \arctan \left(\sinh \left(x \right)\right)}{\cosh \left(x \right)}"," ",0,"(cosh(x)^2)^(1/2)*arctan(sinh(x))/cosh(x)","A"
126,1,41,21,0.107000," ","int(1/(1-sinh(x)^2)^(1/2),x)","\frac{\sqrt{-\left(-1+\sinh^{2}\left(x \right)\right) \left(\cosh^{2}\left(x \right)\right)}\, \sqrt{\frac{\cosh \left(2 x \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(x \right), i\right)}{\sqrt{1-\left(\sinh^{4}\left(x \right)\right)}\, \cosh \left(x \right)}"," ",0,"(-(-1+sinh(x)^2)*cosh(x)^2)^(1/2)*(cosh(x)^2)^(1/2)/(1-sinh(x)^4)^(1/2)*EllipticF(sinh(x),I)/cosh(x)","A"
127,1,61,39,0.110000," ","int(1/(-1+sinh(x)^2)^(1/2),x)","-\frac{i \sqrt{\left(-1+\sinh^{2}\left(x \right)\right) \left(\cosh^{2}\left(x \right)\right)}\, \sqrt{\frac{\cosh \left(2 x \right)}{2}+\frac{1}{2}}\, \sqrt{1-\left(\sinh^{2}\left(x \right)\right)}\, \EllipticF \left(i \sinh \left(x \right), i\right)}{\sqrt{\sinh^{4}\left(x \right)-1}\, \cosh \left(x \right) \sqrt{-1+\sinh^{2}\left(x \right)}}"," ",0,"-I*((-1+sinh(x)^2)*cosh(x)^2)^(1/2)*(cosh(x)^2)^(1/2)*(1-sinh(x)^2)^(1/2)/(sinh(x)^4-1)^(1/2)*EllipticF(I*sinh(x),I)/cosh(x)/(-1+sinh(x)^2)^(1/2)","A"
128,1,34,14,0.072000," ","int(1/(-1-sinh(x)^2)^(1/2),x)","-\frac{\cosh \left(x \right) \sqrt{-\left(\sinh^{2}\left(x \right)\right)}\, \arctanh \left(\frac{1}{\sqrt{-\left(\sinh^{2}\left(x \right)\right)}}\right)}{\sinh \left(x \right) \sqrt{-\left(\cosh^{2}\left(x \right)\right)}}"," ",0,"-cosh(x)*(-sinh(x)^2)^(1/2)*arctanh(1/(-sinh(x)^2)^(1/2))/sinh(x)/(-cosh(x)^2)^(1/2)","B"
129,1,63,49,0.092000," ","int(1/(a+b*sinh(x)^2)^(1/2),x)","\frac{\sqrt{\frac{a +b \left(\sinh^{2}\left(x \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 x \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(x \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)}{\sqrt{-\frac{b}{a}}\, \cosh \left(x \right) \sqrt{a +b \left(\sinh^{2}\left(x \right)\right)}}"," ",0,"1/(-1/a*b)^(1/2)*((a+b*sinh(x)^2)/a)^(1/2)*(cosh(x)^2)^(1/2)*EllipticF(sinh(x)*(-1/a*b)^(1/2),(a/b)^(1/2))/cosh(x)/(a+b*sinh(x)^2)^(1/2)","A"
130,0,0,116,0.901000," ","int((d*sinh(f*x+e))^m*(a+b*sinh(f*x+e)^2)^p,x)","\int \left(d \sinh \left(f x +e \right)\right)^{m} \left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right)^{p}\, dx"," ",0,"int((d*sinh(f*x+e))^m*(a+b*sinh(f*x+e)^2)^p,x)","F"
131,0,0,220,0.952000," ","int(sinh(f*x+e)^5*(a+b*sinh(f*x+e)^2)^p,x)","\int \left(\sinh^{5}\left(f x +e \right)\right) \left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right)^{p}\, dx"," ",0,"int(sinh(f*x+e)^5*(a+b*sinh(f*x+e)^2)^p,x)","F"
132,0,0,135,0.658000," ","int(sinh(f*x+e)^3*(a+b*sinh(f*x+e)^2)^p,x)","\int \left(\sinh^{3}\left(f x +e \right)\right) \left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right)^{p}\, dx"," ",0,"int(sinh(f*x+e)^3*(a+b*sinh(f*x+e)^2)^p,x)","F"
133,0,0,76,0.469000," ","int(sinh(f*x+e)*(a+b*sinh(f*x+e)^2)^p,x)","\int \sinh \left(f x +e \right) \left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right)^{p}\, dx"," ",0,"int(sinh(f*x+e)*(a+b*sinh(f*x+e)^2)^p,x)","F"
134,0,0,84,0.394000," ","int(csch(f*x+e)*(a+b*sinh(f*x+e)^2)^p,x)","\int \mathrm{csch}\left(f x +e \right) \left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right)^{p}\, dx"," ",0,"int(csch(f*x+e)*(a+b*sinh(f*x+e)^2)^p,x)","F"
135,0,0,83,0.427000," ","int(csch(f*x+e)^3*(a+b*sinh(f*x+e)^2)^p,x)","\int \mathrm{csch}\left(f x +e \right)^{3} \left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right)^{p}\, dx"," ",0,"int(csch(f*x+e)^3*(a+b*sinh(f*x+e)^2)^p,x)","F"
136,0,0,84,0.396000," ","int(csch(f*x+e)^5*(a+b*sinh(f*x+e)^2)^p,x)","\int \mathrm{csch}\left(f x +e \right)^{5} \left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right)^{p}\, dx"," ",0,"int(csch(f*x+e)^5*(a+b*sinh(f*x+e)^2)^p,x)","F"
137,0,0,93,0.698000," ","int(sinh(f*x+e)^4*(a+b*sinh(f*x+e)^2)^p,x)","\int \left(\sinh^{4}\left(f x +e \right)\right) \left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right)^{p}\, dx"," ",0,"int(sinh(f*x+e)^4*(a+b*sinh(f*x+e)^2)^p,x)","F"
138,0,0,95,0.527000," ","int(sinh(f*x+e)^2*(a+b*sinh(f*x+e)^2)^p,x)","\int \left(\sinh^{2}\left(f x +e \right)\right) \left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right)^{p}\, dx"," ",0,"int(sinh(f*x+e)^2*(a+b*sinh(f*x+e)^2)^p,x)","F"
139,0,0,91,0.379000," ","int(csch(f*x+e)^2*(a+b*sinh(f*x+e)^2)^p,x)","\int \mathrm{csch}\left(f x +e \right)^{2} \left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right)^{p}\, dx"," ",0,"int(csch(f*x+e)^2*(a+b*sinh(f*x+e)^2)^p,x)","F"
140,0,0,93,0.369000," ","int(csch(f*x+e)^4*(a+b*sinh(f*x+e)^2)^p,x)","\int \mathrm{csch}\left(f x +e \right)^{4} \left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right)^{p}\, dx"," ",0,"int(csch(f*x+e)^4*(a+b*sinh(f*x+e)^2)^p,x)","F"
141,1,82,96,0.037000," ","int(sinh(d*x+c)^4*(a+b*sinh(d*x+c)^3),x)","\frac{b \left(-\frac{16}{35}+\frac{\left(\sinh^{6}\left(d x +c \right)\right)}{7}-\frac{6 \left(\sinh^{4}\left(d x +c \right)\right)}{35}+\frac{8 \left(\sinh^{2}\left(d x +c \right)\right)}{35}\right) \cosh \left(d x +c \right)+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)}{d}"," ",0,"1/d*(b*(-16/35+1/7*sinh(d*x+c)^6-6/35*sinh(d*x+c)^4+8/35*sinh(d*x+c)^2)*cosh(d*x+c)+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))","A"
142,1,72,89,0.034000," ","int(sinh(d*x+c)^3*(a+b*sinh(d*x+c)^3),x)","\frac{b \left(\left(\frac{\left(\sinh^{5}\left(d x +c \right)\right)}{6}-\frac{5 \left(\sinh^{3}\left(d x +c \right)\right)}{24}+\frac{5 \sinh \left(d x +c \right)}{16}\right) \cosh \left(d x +c \right)-\frac{5 d x}{16}-\frac{5 c}{16}\right)+a \left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(d x +c \right)\right)}{3}\right) \cosh \left(d x +c \right)}{d}"," ",0,"1/d*(b*((1/6*sinh(d*x+c)^5-5/24*sinh(d*x+c)^3+5/16*sinh(d*x+c))*cosh(d*x+c)-5/16*d*x-5/16*c)+a*(-2/3+1/3*sinh(d*x+c)^2)*cosh(d*x+c))","A"
143,1,60,62,0.033000," ","int(sinh(d*x+c)^2*(a+b*sinh(d*x+c)^3),x)","\frac{b \left(\frac{8}{15}+\frac{\left(\sinh^{4}\left(d x +c \right)\right)}{5}-\frac{4 \left(\sinh^{2}\left(d x +c \right)\right)}{15}\right) \cosh \left(d x +c \right)+a \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*(b*(8/15+1/5*sinh(d*x+c)^4-4/15*sinh(d*x+c)^2)*cosh(d*x+c)+a*(1/2*cosh(d*x+c)*sinh(d*x+c)-1/2*d*x-1/2*c))","A"
144,1,50,54,0.035000," ","int(sinh(d*x+c)*(a+b*sinh(d*x+c)^3),x)","\frac{b \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)+a \cosh \left(d x +c \right)}{d}"," ",0,"1/d*(b*((1/4*sinh(d*x+c)^3-3/8*sinh(d*x+c))*cosh(d*x+c)+3/8*d*x+3/8*c)+a*cosh(d*x+c))","A"
145,1,28,30,0.016000," ","int(a+b*sinh(d*x+c)^3,x)","a x +\frac{b \left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(d x +c \right)\right)}{3}\right) \cosh \left(d x +c \right)}{d}"," ",0,"a*x+b/d*(-2/3+1/3*sinh(d*x+c)^2)*cosh(d*x+c)","A"
146,1,40,36,0.093000," ","int(csch(d*x+c)*(a+b*sinh(d*x+c)^3),x)","\frac{-2 a \arctanh \left({\mathrm e}^{d x +c}\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*(-2*a*arctanh(exp(d*x+c))+b*(1/2*cosh(d*x+c)*sinh(d*x+c)-1/2*d*x-1/2*c))","A"
147,1,23,24,0.085000," ","int(csch(d*x+c)^2*(a+b*sinh(d*x+c)^3),x)","\frac{-\coth \left(d x +c \right) a +b \cosh \left(d x +c \right)}{d}"," ",0,"1/d*(-coth(d*x+c)*a+b*cosh(d*x+c))","A"
148,1,37,35,0.098000," ","int(csch(d*x+c)^3*(a+b*sinh(d*x+c)^3),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)+\left(d x +c \right) b}{d}"," ",0,"1/d*(a*(-1/2*csch(d*x+c)*coth(d*x+c)+arctanh(exp(d*x+c)))+(d*x+c)*b)","A"
149,1,36,39,0.098000," ","int(csch(d*x+c)^4*(a+b*sinh(d*x+c)^3),x)","\frac{a \left(\frac{2}{3}-\frac{\mathrm{csch}\left(d x +c \right)^{2}}{3}\right) \coth \left(d x +c \right)-2 b \arctanh \left({\mathrm e}^{d x +c}\right)}{d}"," ",0,"1/d*(a*(2/3-1/3*csch(d*x+c)^2)*coth(d*x+c)-2*b*arctanh(exp(d*x+c)))","A"
150,1,128,174,0.042000," ","int(sinh(d*x+c)^3*(a+b*sinh(d*x+c)^3)^2,x)","\frac{b^{2} \left(\frac{128}{315}+\frac{\left(\sinh^{8}\left(d x +c \right)\right)}{9}-\frac{8 \left(\sinh^{6}\left(d x +c \right)\right)}{63}+\frac{16 \left(\sinh^{4}\left(d x +c \right)\right)}{105}-\frac{64 \left(\sinh^{2}\left(d x +c \right)\right)}{315}\right) \cosh \left(d x +c \right)+2 a b \left(\left(\frac{\left(\sinh^{5}\left(d x +c \right)\right)}{6}-\frac{5 \left(\sinh^{3}\left(d x +c \right)\right)}{24}+\frac{5 \sinh \left(d x +c \right)}{16}\right) \cosh \left(d x +c \right)-\frac{5 d x}{16}-\frac{5 c}{16}\right)+a^{2} \left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(d x +c \right)\right)}{3}\right) \cosh \left(d x +c \right)}{d}"," ",0,"1/d*(b^2*(128/315+1/9*sinh(d*x+c)^8-8/63*sinh(d*x+c)^6+16/105*sinh(d*x+c)^4-64/315*sinh(d*x+c)^2)*cosh(d*x+c)+2*a*b*((1/6*sinh(d*x+c)^5-5/24*sinh(d*x+c)^3+5/16*sinh(d*x+c))*cosh(d*x+c)-5/16*d*x-5/16*c)+a^2*(-2/3+1/3*sinh(d*x+c)^2)*cosh(d*x+c))","A"
151,1,122,162,0.046000," ","int(sinh(d*x+c)^2*(a+b*sinh(d*x+c)^3)^2,x)","\frac{b^{2} \left(\left(\frac{\left(\sinh^{7}\left(d x +c \right)\right)}{8}-\frac{7 \left(\sinh^{5}\left(d x +c \right)\right)}{48}+\frac{35 \left(\sinh^{3}\left(d x +c \right)\right)}{192}-\frac{35 \sinh \left(d x +c \right)}{128}\right) \cosh \left(d x +c \right)+\frac{35 d x}{128}+\frac{35 c}{128}\right)+2 a b \left(\frac{8}{15}+\frac{\left(\sinh^{4}\left(d x +c \right)\right)}{5}-\frac{4 \left(\sinh^{2}\left(d x +c \right)\right)}{15}\right) \cosh \left(d x +c \right)+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)}{d}"," ",0,"1/d*(b^2*((1/8*sinh(d*x+c)^7-7/48*sinh(d*x+c)^5+35/192*sinh(d*x+c)^3-35/128*sinh(d*x+c))*cosh(d*x+c)+35/128*d*x+35/128*c)+2*a*b*(8/15+1/5*sinh(d*x+c)^4-4/15*sinh(d*x+c)^2)*cosh(d*x+c)+a^2*(1/2*cosh(d*x+c)*sinh(d*x+c)-1/2*d*x-1/2*c))","A"
152,1,96,120,0.043000," ","int(sinh(d*x+c)*(a+b*sinh(d*x+c)^3)^2,x)","\frac{b^{2} \left(-\frac{16}{35}+\frac{\left(\sinh^{6}\left(d x +c \right)\right)}{7}-\frac{6 \left(\sinh^{4}\left(d x +c \right)\right)}{35}+\frac{8 \left(\sinh^{2}\left(d x +c \right)\right)}{35}\right) \cosh \left(d x +c \right)+2 a b \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)+a^{2} \cosh \left(d x +c \right)}{d}"," ",0,"1/d*(b^2*(-16/35+1/7*sinh(d*x+c)^6-6/35*sinh(d*x+c)^4+8/35*sinh(d*x+c)^2)*cosh(d*x+c)+2*a*b*((1/4*sinh(d*x+c)^3-3/8*sinh(d*x+c))*cosh(d*x+c)+3/8*d*x+3/8*c)+a^2*cosh(d*x+c))","A"
153,1,85,104,0.043000," ","int((a+b*sinh(d*x+c)^3)^2,x)","\frac{b^{2} \left(\left(\frac{\left(\sinh^{5}\left(d x +c \right)\right)}{6}-\frac{5 \left(\sinh^{3}\left(d x +c \right)\right)}{24}+\frac{5 \sinh \left(d x +c \right)}{16}\right) \cosh \left(d x +c \right)-\frac{5 d x}{16}-\frac{5 c}{16}\right)+2 a b \left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(d x +c \right)\right)}{3}\right) \cosh \left(d x +c \right)+a^{2} \left(d x +c \right)}{d}"," ",0,"1/d*(b^2*((1/6*sinh(d*x+c)^5-5/24*sinh(d*x+c)^3+5/16*sinh(d*x+c))*cosh(d*x+c)-5/16*d*x-5/16*c)+2*a*b*(-2/3+1/3*sinh(d*x+c)^2)*cosh(d*x+c)+a^2*(d*x+c))","A"
154,1,76,84,0.121000," ","int(csch(d*x+c)*(a+b*sinh(d*x+c)^3)^2,x)","\frac{-2 a^{2} \arctanh \left({\mathrm e}^{d x +c}\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(\frac{8}{15}+\frac{\left(\sinh^{4}\left(d x +c \right)\right)}{5}-\frac{4 \left(\sinh^{2}\left(d x +c \right)\right)}{15}\right) \cosh \left(d x +c \right)}{d}"," ",0,"1/d*(-2*a^2*arctanh(exp(d*x+c))+2*a*b*(1/2*cosh(d*x+c)*sinh(d*x+c)-1/2*d*x-1/2*c)+b^2*(8/15+1/5*sinh(d*x+c)^4-4/15*sinh(d*x+c)^2)*cosh(d*x+c))","A"
155,1,65,76,0.105000," ","int(csch(d*x+c)^2*(a+b*sinh(d*x+c)^3)^2,x)","\frac{-a^{2} \coth \left(d x +c \right)+2 a b \cosh \left(d x +c \right)+b^{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)}{d}"," ",0,"1/d*(-a^2*coth(d*x+c)+2*a*b*cosh(d*x+c)+b^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))","A"
156,1,63,71,0.133000," ","int(csch(d*x+c)^3*(a+b*sinh(d*x+c)^3)^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(d x +c \right)+b^{2} \left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(d x +c \right)\right)}{3}\right) \cosh \left(d x +c \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*(d*x+c)+b^2*(-2/3+1/3*sinh(d*x+c)^2)*cosh(d*x+c))","A"
157,1,65,70,0.135000," ","int(csch(d*x+c)^4*(a+b*sinh(d*x+c)^3)^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)-4 a b \arctanh \left({\mathrm e}^{d x +c}\right)+b^{2} \left(\frac{\cosh \left(d x +c \right) \sinh \left(d x +c \right)}{2}-\frac{d x}{2}-\frac{c}{2}\right)}{d}"," ",0,"1/d*(a^2*(2/3-1/3*csch(d*x+c)^2)*coth(d*x+c)-4*a*b*arctanh(exp(d*x+c))+b^2*(1/2*cosh(d*x+c)*sinh(d*x+c)-1/2*d*x-1/2*c))","A"
158,1,66,84,0.177000," ","int(csch(d*x+c)^5*(a+b*sinh(d*x+c)^3)^2,x)","\frac{a^{2} \left(\left(-\frac{\mathrm{csch}\left(d x +c \right)^{3}}{4}+\frac{3 \,\mathrm{csch}\left(d x +c \right)}{8}\right) \coth \left(d x +c \right)-\frac{3 \arctanh \left({\mathrm e}^{d x +c}\right)}{4}\right)-2 a b \coth \left(d x +c \right)+b^{2} \cosh \left(d x +c \right)}{d}"," ",0,"1/d*(a^2*((-1/4*csch(d*x+c)^3+3/8*csch(d*x+c))*coth(d*x+c)-3/4*arctanh(exp(d*x+c)))-2*a*b*coth(d*x+c)+b^2*cosh(d*x+c))","A"
159,1,73,84,0.204000," ","int(csch(d*x+c)^6*(a+b*sinh(d*x+c)^3)^2,x)","\frac{a^{2} \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)+2 a b \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^{2} \left(d x +c \right)}{d}"," ",0,"1/d*(a^2*(-8/15-1/5*csch(d*x+c)^4+4/15*csch(d*x+c)^2)*coth(d*x+c)+2*a*b*(-1/2*csch(d*x+c)*coth(d*x+c)+arctanh(exp(d*x+c)))+b^2*(d*x+c))","A"
160,1,90,123,0.184000," ","int(csch(d*x+c)^7*(a+b*sinh(d*x+c)^3)^2,x)","\frac{a^{2} \left(\left(-\frac{\mathrm{csch}\left(d x +c \right)^{5}}{6}+\frac{5 \mathrm{csch}\left(d x +c \right)^{3}}{24}-\frac{5 \,\mathrm{csch}\left(d x +c \right)}{16}\right) \coth \left(d x +c \right)+\frac{5 \arctanh \left({\mathrm e}^{d x +c}\right)}{8}\right)+2 a b \left(\frac{2}{3}-\frac{\mathrm{csch}\left(d x +c \right)^{2}}{3}\right) \coth \left(d x +c \right)-2 b^{2} \arctanh \left({\mathrm e}^{d x +c}\right)}{d}"," ",0,"1/d*(a^2*((-1/6*csch(d*x+c)^5+5/24*csch(d*x+c)^3-5/16*csch(d*x+c))*coth(d*x+c)+5/8*arctanh(exp(d*x+c)))+2*a*b*(2/3-1/3*csch(d*x+c)^2)*coth(d*x+c)-2*b^2*arctanh(exp(d*x+c)))","A"
161,1,188,267,0.135000," ","int(sinh(d*x+c)^2*(a+b*sinh(d*x+c)^3)^3,x)","\frac{b^{3} \left(-\frac{256}{693}+\frac{\left(\sinh^{10}\left(d x +c \right)\right)}{11}-\frac{10 \left(\sinh^{8}\left(d x +c \right)\right)}{99}+\frac{80 \left(\sinh^{6}\left(d x +c \right)\right)}{693}-\frac{32 \left(\sinh^{4}\left(d x +c \right)\right)}{231}+\frac{128 \left(\sinh^{2}\left(d x +c \right)\right)}{693}\right) \cosh \left(d x +c \right)+3 a \,b^{2} \left(\left(\frac{\left(\sinh^{7}\left(d x +c \right)\right)}{8}-\frac{7 \left(\sinh^{5}\left(d x +c \right)\right)}{48}+\frac{35 \left(\sinh^{3}\left(d x +c \right)\right)}{192}-\frac{35 \sinh \left(d x +c \right)}{128}\right) \cosh \left(d x +c \right)+\frac{35 d x}{128}+\frac{35 c}{128}\right)+3 a^{2} b \left(\frac{8}{15}+\frac{\left(\sinh^{4}\left(d x +c \right)\right)}{5}-\frac{4 \left(\sinh^{2}\left(d x +c \right)\right)}{15}\right) \cosh \left(d x +c \right)+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)}{d}"," ",0,"1/d*(b^3*(-256/693+1/11*sinh(d*x+c)^10-10/99*sinh(d*x+c)^8+80/693*sinh(d*x+c)^6-32/231*sinh(d*x+c)^4+128/693*sinh(d*x+c)^2)*cosh(d*x+c)+3*a*b^2*((1/8*sinh(d*x+c)^7-7/48*sinh(d*x+c)^5+35/192*sinh(d*x+c)^3-35/128*sinh(d*x+c))*cosh(d*x+c)+35/128*d*x+35/128*c)+3*a^2*b*(8/15+1/5*sinh(d*x+c)^4-4/15*sinh(d*x+c)^2)*cosh(d*x+c)+a^3*(1/2*cosh(d*x+c)*sinh(d*x+c)-1/2*d*x-1/2*c))","A"
162,1,168,245,0.049000," ","int(sinh(d*x+c)*(a+b*sinh(d*x+c)^3)^3,x)","\frac{b^{3} \left(\left(\frac{\left(\sinh^{9}\left(d x +c \right)\right)}{10}-\frac{9 \left(\sinh^{7}\left(d x +c \right)\right)}{80}+\frac{21 \left(\sinh^{5}\left(d x +c \right)\right)}{160}-\frac{21 \left(\sinh^{3}\left(d x +c \right)\right)}{128}+\frac{63 \sinh \left(d x +c \right)}{256}\right) \cosh \left(d x +c \right)-\frac{63 d x}{256}-\frac{63 c}{256}\right)+3 a \,b^{2} \left(-\frac{16}{35}+\frac{\left(\sinh^{6}\left(d x +c \right)\right)}{7}-\frac{6 \left(\sinh^{4}\left(d x +c \right)\right)}{35}+\frac{8 \left(\sinh^{2}\left(d x +c \right)\right)}{35}\right) \cosh \left(d x +c \right)+3 a^{2} b \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)+a^{3} \cosh \left(d x +c \right)}{d}"," ",0,"1/d*(b^3*((1/10*sinh(d*x+c)^9-9/80*sinh(d*x+c)^7+21/160*sinh(d*x+c)^5-21/128*sinh(d*x+c)^3+63/256*sinh(d*x+c))*cosh(d*x+c)-63/256*d*x-63/256*c)+3*a*b^2*(-16/35+1/7*sinh(d*x+c)^6-6/35*sinh(d*x+c)^4+8/35*sinh(d*x+c)^2)*cosh(d*x+c)+3*a^2*b*((1/4*sinh(d*x+c)^3-3/8*sinh(d*x+c))*cosh(d*x+c)+3/8*d*x+3/8*c)+a^3*cosh(d*x+c))","A"
163,1,141,188,0.048000," ","int((a+b*sinh(d*x+c)^3)^3,x)","\frac{b^{3} \left(\frac{128}{315}+\frac{\left(\sinh^{8}\left(d x +c \right)\right)}{9}-\frac{8 \left(\sinh^{6}\left(d x +c \right)\right)}{63}+\frac{16 \left(\sinh^{4}\left(d x +c \right)\right)}{105}-\frac{64 \left(\sinh^{2}\left(d x +c \right)\right)}{315}\right) \cosh \left(d x +c \right)+3 a \,b^{2} \left(\left(\frac{\left(\sinh^{5}\left(d x +c \right)\right)}{6}-\frac{5 \left(\sinh^{3}\left(d x +c \right)\right)}{24}+\frac{5 \sinh \left(d x +c \right)}{16}\right) \cosh \left(d x +c \right)-\frac{5 d x}{16}-\frac{5 c}{16}\right)+3 a^{2} b \left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(d x +c \right)\right)}{3}\right) \cosh \left(d x +c \right)+a^{3} \left(d x +c \right)}{d}"," ",0,"1/d*(b^3*(128/315+1/9*sinh(d*x+c)^8-8/63*sinh(d*x+c)^6+16/105*sinh(d*x+c)^4-64/315*sinh(d*x+c)^2)*cosh(d*x+c)+3*a*b^2*((1/6*sinh(d*x+c)^5-5/24*sinh(d*x+c)^3+5/16*sinh(d*x+c))*cosh(d*x+c)-5/16*d*x-5/16*c)+3*a^2*b*(-2/3+1/3*sinh(d*x+c)^2)*cosh(d*x+c)+a^3*(d*x+c))","A"
164,1,138,185,0.153000," ","int(csch(d*x+c)*(a+b*sinh(d*x+c)^3)^3,x)","\frac{-2 a^{3} \arctanh \left({\mathrm e}^{d x +c}\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(\frac{8}{15}+\frac{\left(\sinh^{4}\left(d x +c \right)\right)}{5}-\frac{4 \left(\sinh^{2}\left(d x +c \right)\right)}{15}\right) \cosh \left(d x +c \right)+b^{3} \left(\left(\frac{\left(\sinh^{7}\left(d x +c \right)\right)}{8}-\frac{7 \left(\sinh^{5}\left(d x +c \right)\right)}{48}+\frac{35 \left(\sinh^{3}\left(d x +c \right)\right)}{192}-\frac{35 \sinh \left(d x +c \right)}{128}\right) \cosh \left(d x +c \right)+\frac{35 d x}{128}+\frac{35 c}{128}\right)}{d}"," ",0,"1/d*(-2*a^3*arctanh(exp(d*x+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*(8/15+1/5*sinh(d*x+c)^4-4/15*sinh(d*x+c)^2)*cosh(d*x+c)+b^3*((1/8*sinh(d*x+c)^7-7/48*sinh(d*x+c)^5+35/192*sinh(d*x+c)^3-35/128*sinh(d*x+c))*cosh(d*x+c)+35/128*d*x+35/128*c))","A"
165,1,111,142,0.138000," ","int(csch(d*x+c)^2*(a+b*sinh(d*x+c)^3)^3,x)","\frac{-a^{3} \coth \left(d x +c \right)+3 a^{2} b \cosh \left(d x +c \right)+3 a \,b^{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)+b^{3} \left(-\frac{16}{35}+\frac{\left(\sinh^{6}\left(d x +c \right)\right)}{7}-\frac{6 \left(\sinh^{4}\left(d x +c \right)\right)}{35}+\frac{8 \left(\sinh^{2}\left(d x +c \right)\right)}{35}\right) \cosh \left(d x +c \right)}{d}"," ",0,"1/d*(-a^3*coth(d*x+c)+3*a^2*b*cosh(d*x+c)+3*a*b^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)+b^3*(-16/35+1/7*sinh(d*x+c)^6-6/35*sinh(d*x+c)^4+8/35*sinh(d*x+c)^2)*cosh(d*x+c))","A"
166,1,115,144,0.145000," ","int(csch(d*x+c)^3*(a+b*sinh(d*x+c)^3)^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(d x +c \right)+3 a \,b^{2} \left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(d x +c \right)\right)}{3}\right) \cosh \left(d x +c \right)+b^{3} \left(\left(\frac{\left(\sinh^{5}\left(d x +c \right)\right)}{6}-\frac{5 \left(\sinh^{3}\left(d x +c \right)\right)}{24}+\frac{5 \sinh \left(d x +c \right)}{16}\right) \cosh \left(d x +c \right)-\frac{5 d x}{16}-\frac{5 c}{16}\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*(d*x+c)+3*a*b^2*(-2/3+1/3*sinh(d*x+c)^2)*cosh(d*x+c)+b^3*((1/6*sinh(d*x+c)^5-5/24*sinh(d*x+c)^3+5/16*sinh(d*x+c))*cosh(d*x+c)-5/16*d*x-5/16*c))","A"
167,1,101,119,0.174000," ","int(csch(d*x+c)^4*(a+b*sinh(d*x+c)^3)^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)-6 a^{2} b \arctanh \left({\mathrm e}^{d x +c}\right)+3 a \,b^{2} \left(\frac{\cosh \left(d x +c \right) \sinh \left(d x +c \right)}{2}-\frac{d x}{2}-\frac{c}{2}\right)+b^{3} \left(\frac{8}{15}+\frac{\left(\sinh^{4}\left(d x +c \right)\right)}{5}-\frac{4 \left(\sinh^{2}\left(d x +c \right)\right)}{15}\right) \cosh \left(d x +c \right)}{d}"," ",0,"1/d*(a^3*(2/3-1/3*csch(d*x+c)^2)*coth(d*x+c)-6*a^2*b*arctanh(exp(d*x+c))+3*a*b^2*(1/2*cosh(d*x+c)*sinh(d*x+c)-1/2*d*x-1/2*c)+b^3*(8/15+1/5*sinh(d*x+c)^4-4/15*sinh(d*x+c)^2)*cosh(d*x+c))","A"
168,1,108,136,0.191000," ","int(csch(d*x+c)^5*(a+b*sinh(d*x+c)^3)^3,x)","\frac{a^{3} \left(\left(-\frac{\mathrm{csch}\left(d x +c \right)^{3}}{4}+\frac{3 \,\mathrm{csch}\left(d x +c \right)}{8}\right) \coth \left(d x +c \right)-\frac{3 \arctanh \left({\mathrm e}^{d x +c}\right)}{4}\right)-3 a^{2} b \coth \left(d x +c \right)+3 a \,b^{2} \cosh \left(d x +c \right)+b^{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)}{d}"," ",0,"1/d*(a^3*((-1/4*csch(d*x+c)^3+3/8*csch(d*x+c))*coth(d*x+c)-3/4*arctanh(exp(d*x+c)))-3*a^2*b*coth(d*x+c)+3*a*b^2*cosh(d*x+c)+b^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))","A"
169,1,99,121,0.184000," ","int(csch(d*x+c)^6*(a+b*sinh(d*x+c)^3)^3,x)","\frac{a^{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)+3 a^{2} b \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 \,b^{2} \left(d x +c \right)+b^{3} \left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(d x +c \right)\right)}{3}\right) \cosh \left(d x +c \right)}{d}"," ",0,"1/d*(a^3*(-8/15-1/5*csch(d*x+c)^4+4/15*csch(d*x+c)^2)*coth(d*x+c)+3*a^2*b*(-1/2*csch(d*x+c)*coth(d*x+c)+arctanh(exp(d*x+c)))+3*a*b^2*(d*x+c)+b^3*(-2/3+1/3*sinh(d*x+c)^2)*cosh(d*x+c))","A"
170,1,119,154,0.186000," ","int(csch(d*x+c)^7*(a+b*sinh(d*x+c)^3)^3,x)","\frac{a^{3} \left(\left(-\frac{\mathrm{csch}\left(d x +c \right)^{5}}{6}+\frac{5 \mathrm{csch}\left(d x +c \right)^{3}}{24}-\frac{5 \,\mathrm{csch}\left(d x +c \right)}{16}\right) \coth \left(d x +c \right)+\frac{5 \arctanh \left({\mathrm e}^{d x +c}\right)}{8}\right)+3 a^{2} b \left(\frac{2}{3}-\frac{\mathrm{csch}\left(d x +c \right)^{2}}{3}\right) \coth \left(d x +c \right)-6 a \,b^{2} \arctanh \left({\mathrm e}^{d x +c}\right)+b^{3} \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^3*((-1/6*csch(d*x+c)^5+5/24*csch(d*x+c)^3-5/16*csch(d*x+c))*coth(d*x+c)+5/8*arctanh(exp(d*x+c)))+3*a^2*b*(2/3-1/3*csch(d*x+c)^2)*coth(d*x+c)-6*a*b^2*arctanh(exp(d*x+c))+b^3*(1/2*cosh(d*x+c)*sinh(d*x+c)-1/2*d*x-1/2*c))","A"
171,1,259,237,0.122000," ","int(sinh(d*x+c)^6/(a+b*sinh(d*x+c)^3),x)","-\frac{1}{3 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{3}}-\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}+\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}+\frac{a \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,b^{2}}+\frac{1}{3 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}-\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{a \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,b^{2}}-\frac{a^{2} \left(\munderset{\textit{\_R} =\RootOf \left(a \,\textit{\_Z}^{6}-3 a \,\textit{\_Z}^{4}-8 b \,\textit{\_Z}^{3}+3 a \,\textit{\_Z}^{2}-a \right)}{\sum}\frac{\left(\textit{\_R}^{4}-2 \textit{\_R}^{2}+1\right) \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\textit{\_R} \right)}{\textit{\_R}^{5} a -2 \textit{\_R}^{3} a -4 \textit{\_R}^{2} b +\textit{\_R} a}\right)}{3 d \,b^{2}}"," ",0,"-1/3/d/b/(tanh(1/2*d*x+1/2*c)-1)^3-1/2/d/b/(tanh(1/2*d*x+1/2*c)-1)^2+1/2/d/b/(tanh(1/2*d*x+1/2*c)-1)+1/d*a/b^2*ln(tanh(1/2*d*x+1/2*c)-1)+1/3/d/b/(tanh(1/2*d*x+1/2*c)+1)^3-1/2/d/b/(tanh(1/2*d*x+1/2*c)+1)^2-1/2/d/b/(tanh(1/2*d*x+1/2*c)+1)-1/d*a/b^2*ln(tanh(1/2*d*x+1/2*c)+1)-1/3/d*a^2/b^2*sum((_R^4-2*_R^2+1)/(_R^5*a-2*_R^3*a-4*_R^2*b+_R*a)*ln(tanh(1/2*d*x+1/2*c)-_R),_R=RootOf(_Z^6*a-3*_Z^4*a-8*_Z^3*b+3*_Z^2*a-a))","C"
172,1,207,210,0.111000," ","int(sinh(d*x+c)^5/(a+b*sinh(d*x+c)^3),x)","\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}+\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{2 d b}-\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{2 d b}+\frac{4 a \left(\munderset{\textit{\_R} =\RootOf \left(a \,\textit{\_Z}^{6}-3 a \,\textit{\_Z}^{4}-8 b \,\textit{\_Z}^{3}+3 a \,\textit{\_Z}^{2}-a \right)}{\sum}\frac{\textit{\_R}^{2} \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\textit{\_R} \right)}{\textit{\_R}^{5} a -2 \textit{\_R}^{3} a -4 \textit{\_R}^{2} b +\textit{\_R} a}\right)}{3 d b}"," ",0,"1/2/d/b/(tanh(1/2*d*x+1/2*c)-1)^2+1/2/d/b/(tanh(1/2*d*x+1/2*c)-1)+1/2/d/b*ln(tanh(1/2*d*x+1/2*c)-1)-1/2/d/b/(tanh(1/2*d*x+1/2*c)+1)^2+1/2/d/b/(tanh(1/2*d*x+1/2*c)+1)-1/2/d/b*ln(tanh(1/2*d*x+1/2*c)+1)+4/3/d*a/b*sum(_R^2/(_R^5*a-2*_R^3*a-4*_R^2*b+_R*a)*ln(tanh(1/2*d*x+1/2*c)-_R),_R=RootOf(_Z^6*a-3*_Z^4*a-8*_Z^3*b+3*_Z^2*a-a))","C"
173,1,128,210,0.105000," ","int(sinh(d*x+c)^4/(a+b*sinh(d*x+c)^3),x)","\frac{1}{d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{2 a \left(\munderset{\textit{\_R} =\RootOf \left(a \,\textit{\_Z}^{6}-3 a \,\textit{\_Z}^{4}-8 b \,\textit{\_Z}^{3}+3 a \,\textit{\_Z}^{2}-a \right)}{\sum}\frac{\left(\textit{\_R}^{3}-\textit{\_R} \right) \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\textit{\_R} \right)}{\textit{\_R}^{5} a -2 \textit{\_R}^{3} a -4 \textit{\_R}^{2} b +\textit{\_R} a}\right)}{3 d b}-\frac{1}{d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}"," ",0,"1/d/b/(tanh(1/2*d*x+1/2*c)+1)-2/3/d*a/b*sum((_R^3-_R)/(_R^5*a-2*_R^3*a-4*_R^2*b+_R*a)*ln(tanh(1/2*d*x+1/2*c)-_R),_R=RootOf(_Z^6*a-3*_Z^4*a-8*_Z^3*b+3*_Z^2*a-a))-1/d/b/(tanh(1/2*d*x+1/2*c)-1)","C"
174,1,129,205,0.092000," ","int(sinh(d*x+c)^3/(a+b*sinh(d*x+c)^3),x)","-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d b}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d b}+\frac{a \left(\munderset{\textit{\_R} =\RootOf \left(a \,\textit{\_Z}^{6}-3 a \,\textit{\_Z}^{4}-8 b \,\textit{\_Z}^{3}+3 a \,\textit{\_Z}^{2}-a \right)}{\sum}\frac{\left(\textit{\_R}^{4}-2 \textit{\_R}^{2}+1\right) \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\textit{\_R} \right)}{\textit{\_R}^{5} a -2 \textit{\_R}^{3} a -4 \textit{\_R}^{2} b +\textit{\_R} a}\right)}{3 d b}"," ",0,"-1/d/b*ln(tanh(1/2*d*x+1/2*c)-1)+1/d/b*ln(tanh(1/2*d*x+1/2*c)+1)+1/3/d*a/b*sum((_R^4-2*_R^2+1)/(_R^5*a-2*_R^3*a-4*_R^2*b+_R*a)*ln(tanh(1/2*d*x+1/2*c)-_R),_R=RootOf(_Z^6*a-3*_Z^4*a-8*_Z^3*b+3*_Z^2*a-a))","C"
175,1,78,181,0.085000," ","int(sinh(d*x+c)^2/(a+b*sinh(d*x+c)^3),x)","-\frac{4 \left(\munderset{\textit{\_R} =\RootOf \left(a \,\textit{\_Z}^{6}-3 a \,\textit{\_Z}^{4}-8 b \,\textit{\_Z}^{3}+3 a \,\textit{\_Z}^{2}-a \right)}{\sum}\frac{\textit{\_R}^{2} \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\textit{\_R} \right)}{\textit{\_R}^{5} a -2 \textit{\_R}^{3} a -4 \textit{\_R}^{2} b +\textit{\_R} a}\right)}{3 d}"," ",0,"-4/3/d*sum(_R^2/(_R^5*a-2*_R^3*a-4*_R^2*b+_R*a)*ln(tanh(1/2*d*x+1/2*c)-_R),_R=RootOf(_Z^6*a-3*_Z^4*a-8*_Z^3*b+3*_Z^2*a-a))","C"
176,1,82,197,0.092000," ","int(sinh(d*x+c)/(a+b*sinh(d*x+c)^3),x)","\frac{2 \left(\munderset{\textit{\_R} =\RootOf \left(a \,\textit{\_Z}^{6}-3 a \,\textit{\_Z}^{4}-8 b \,\textit{\_Z}^{3}+3 a \,\textit{\_Z}^{2}-a \right)}{\sum}\frac{\left(\textit{\_R}^{3}-\textit{\_R} \right) \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\textit{\_R} \right)}{\textit{\_R}^{5} a -2 \textit{\_R}^{3} a -4 \textit{\_R}^{2} b +\textit{\_R} a}\right)}{3 d}"," ",0,"2/3/d*sum((_R^3-_R)/(_R^5*a-2*_R^3*a-4*_R^2*b+_R*a)*ln(tanh(1/2*d*x+1/2*c)-_R),_R=RootOf(_Z^6*a-3*_Z^4*a-8*_Z^3*b+3*_Z^2*a-a))","C"
177,1,87,191,0.092000," ","int(1/(a+b*sinh(d*x+c)^3),x)","\frac{\munderset{\textit{\_R} =\RootOf \left(a \,\textit{\_Z}^{6}-3 a \,\textit{\_Z}^{4}-8 b \,\textit{\_Z}^{3}+3 a \,\textit{\_Z}^{2}-a \right)}{\sum}\frac{\left(-\textit{\_R}^{4}+2 \textit{\_R}^{2}-1\right) \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\textit{\_R} \right)}{\textit{\_R}^{5} a -2 \textit{\_R}^{3} a -4 \textit{\_R}^{2} b +\textit{\_R} a}}{3 d}"," ",0,"1/3/d*sum((-_R^4+2*_R^2-1)/(_R^5*a-2*_R^3*a-4*_R^2*b+_R*a)*ln(tanh(1/2*d*x+1/2*c)-_R),_R=RootOf(_Z^6*a-3*_Z^4*a-8*_Z^3*b+3*_Z^2*a-a))","C"
178,1,100,205,0.151000," ","int(csch(d*x+c)/(a+b*sinh(d*x+c)^3),x)","\frac{4 b \left(\munderset{\textit{\_R} =\RootOf \left(a \,\textit{\_Z}^{6}-3 a \,\textit{\_Z}^{4}-8 b \,\textit{\_Z}^{3}+3 a \,\textit{\_Z}^{2}-a \right)}{\sum}\frac{\textit{\_R}^{2} \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\textit{\_R} \right)}{\textit{\_R}^{5} a -2 \textit{\_R}^{3} a -4 \textit{\_R}^{2} b +\textit{\_R} a}\right)}{3 d a}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d a}"," ",0,"4/3/d/a*b*sum(_R^2/(_R^5*a-2*_R^3*a-4*_R^2*b+_R*a)*ln(tanh(1/2*d*x+1/2*c)-_R),_R=RootOf(_Z^6*a-3*_Z^4*a-8*_Z^3*b+3*_Z^2*a-a))+1/d/a*ln(tanh(1/2*d*x+1/2*c))","C"
179,1,123,211,0.159000," ","int(csch(d*x+c)^2/(a+b*sinh(d*x+c)^3),x)","-\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{2 d a}-\frac{2 b \left(\munderset{\textit{\_R} =\RootOf \left(a \,\textit{\_Z}^{6}-3 a \,\textit{\_Z}^{4}-8 b \,\textit{\_Z}^{3}+3 a \,\textit{\_Z}^{2}-a \right)}{\sum}\frac{\left(\textit{\_R}^{3}-\textit{\_R} \right) \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\textit{\_R} \right)}{\textit{\_R}^{5} a -2 \textit{\_R}^{3} a -4 \textit{\_R}^{2} b +\textit{\_R} a}\right)}{3 d a}-\frac{1}{2 d a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}"," ",0,"-1/2/d/a*tanh(1/2*d*x+1/2*c)-2/3/d/a*b*sum((_R^3-_R)/(_R^5*a-2*_R^3*a-4*_R^2*b+_R*a)*ln(tanh(1/2*d*x+1/2*c)-_R),_R=RootOf(_Z^6*a-3*_Z^4*a-8*_Z^3*b+3*_Z^2*a-a))-1/2/d/a/tanh(1/2*d*x+1/2*c)","C"
180,1,146,229,0.181000," ","int(csch(d*x+c)^3/(a+b*sinh(d*x+c)^3),x)","\frac{\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)}{8 d a}+\frac{b \left(\munderset{\textit{\_R} =\RootOf \left(a \,\textit{\_Z}^{6}-3 a \,\textit{\_Z}^{4}-8 b \,\textit{\_Z}^{3}+3 a \,\textit{\_Z}^{2}-a \right)}{\sum}\frac{\left(\textit{\_R}^{4}-2 \textit{\_R}^{2}+1\right) \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\textit{\_R} \right)}{\textit{\_R}^{5} a -2 \textit{\_R}^{3} a -4 \textit{\_R}^{2} b +\textit{\_R} a}\right)}{3 d a}-\frac{1}{8 d a \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)}{2 d a}"," ",0,"1/8/d/a*tanh(1/2*d*x+1/2*c)^2+1/3/d/a*b*sum((_R^4-2*_R^2+1)/(_R^5*a-2*_R^3*a-4*_R^2*b+_R*a)*ln(tanh(1/2*d*x+1/2*c)-_R),_R=RootOf(_Z^6*a-3*_Z^4*a-8*_Z^3*b+3*_Z^2*a-a))-1/8/d/a/tanh(1/2*d*x+1/2*c)^2-1/2/d/a*ln(tanh(1/2*d*x+1/2*c))","C"
181,1,178,234,0.181000," ","int(csch(d*x+c)^4/(a+b*sinh(d*x+c)^3),x)","-\frac{\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)}{24 d a}+\frac{3 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{8 d a}-\frac{4 b^{2} \left(\munderset{\textit{\_R} =\RootOf \left(a \,\textit{\_Z}^{6}-3 a \,\textit{\_Z}^{4}-8 b \,\textit{\_Z}^{3}+3 a \,\textit{\_Z}^{2}-a \right)}{\sum}\frac{\textit{\_R}^{2} \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\textit{\_R} \right)}{\textit{\_R}^{5} a -2 \textit{\_R}^{3} a -4 \textit{\_R}^{2} b +\textit{\_R} a}\right)}{3 d \,a^{2}}-\frac{1}{24 d a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)^{3}}+\frac{3}{8 d a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}-\frac{b \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{2}}"," ",0,"-1/24/d/a*tanh(1/2*d*x+1/2*c)^3+3/8/d/a*tanh(1/2*d*x+1/2*c)-4/3/d*b^2/a^2*sum(_R^2/(_R^5*a-2*_R^3*a-4*_R^2*b+_R*a)*ln(tanh(1/2*d*x+1/2*c)-_R),_R=RootOf(_Z^6*a-3*_Z^4*a-8*_Z^3*b+3*_Z^2*a-a))-1/24/d/a/tanh(1/2*d*x+1/2*c)^3+3/8/d/a/tanh(1/2*d*x+1/2*c)-1/d/a^2*b*ln(tanh(1/2*d*x+1/2*c))","C"
182,1,82,95,0.056000," ","int(1/(1+sinh(x)^3),x)","\frac{2 \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{4}+2 \textit{\_Z}^{3}+2 \textit{\_Z}^{2}-2 \textit{\_Z} +1\right)}{\sum}\frac{\left(-\textit{\_R}^{2}-\textit{\_R} +1\right) \ln \left(\tanh \left(\frac{x}{2}\right)-\textit{\_R} \right)}{2 \textit{\_R}^{3}+3 \textit{\_R}^{2}+2 \textit{\_R} -1}\right)}{3}+\frac{\sqrt{2}\, \arctanh \left(\frac{\left(2 \tanh \left(\frac{x}{2}\right)-2\right) \sqrt{2}}{4}\right)}{3}"," ",0,"2/3*sum((-_R^2-_R+1)/(2*_R^3+3*_R^2+2*_R-1)*ln(tanh(1/2*x)-_R),_R=RootOf(_Z^4+2*_Z^3+2*_Z^2-2*_Z+1))+1/3*2^(1/2)*arctanh(1/4*(2*tanh(1/2*x)-2)*2^(1/2))","C"
183,1,80,89,0.053000," ","int(1/(1-sinh(x)^3),x)","\frac{\sqrt{2}\, \arctanh \left(\frac{\left(2 \tanh \left(\frac{x}{2}\right)+2\right) \sqrt{2}}{4}\right)}{3}+\frac{2 \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{4}-2 \textit{\_Z}^{3}+2 \textit{\_Z}^{2}+2 \textit{\_Z} +1\right)}{\sum}\frac{\left(-\textit{\_R}^{2}+\textit{\_R} +1\right) \ln \left(\tanh \left(\frac{x}{2}\right)-\textit{\_R} \right)}{2 \textit{\_R}^{3}-3 \textit{\_R}^{2}+2 \textit{\_R} +1}\right)}{3}"," ",0,"1/3*2^(1/2)*arctanh(1/4*(2*tanh(1/2*x)+2)*2^(1/2))+2/3*sum((-_R^2+_R+1)/(2*_R^3-3*_R^2+2*_R+1)*ln(tanh(1/2*x)-_R),_R=RootOf(_Z^4-2*_Z^3+2*_Z^2+2*_Z+1))","C"
184,1,98,101,0.037000," ","int(sinh(d*x+c)^4*(a+b*sinh(d*x+c)^4),x)","\frac{b \left(\left(\frac{\left(\sinh^{7}\left(d x +c \right)\right)}{8}-\frac{7 \left(\sinh^{5}\left(d x +c \right)\right)}{48}+\frac{35 \left(\sinh^{3}\left(d x +c \right)\right)}{192}-\frac{35 \sinh \left(d x +c \right)}{128}\right) \cosh \left(d x +c \right)+\frac{35 d x}{128}+\frac{35 c}{128}\right)+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)}{d}"," ",0,"1/d*(b*((1/8*sinh(d*x+c)^7-7/48*sinh(d*x+c)^5+35/192*sinh(d*x+c)^3-35/128*sinh(d*x+c))*cosh(d*x+c)+35/128*d*x+35/128*c)+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))","A"
185,1,66,61,0.034000," ","int(sinh(d*x+c)^3*(a+b*sinh(d*x+c)^4),x)","\frac{b \left(-\frac{16}{35}+\frac{\left(\sinh^{6}\left(d x +c \right)\right)}{7}-\frac{6 \left(\sinh^{4}\left(d x +c \right)\right)}{35}+\frac{8 \left(\sinh^{2}\left(d x +c \right)\right)}{35}\right) \cosh \left(d x +c \right)+a \left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(d x +c \right)\right)}{3}\right) \cosh \left(d x +c \right)}{d}"," ",0,"1/d*(b*(-16/35+1/7*sinh(d*x+c)^6-6/35*sinh(d*x+c)^4+8/35*sinh(d*x+c)^2)*cosh(d*x+c)+a*(-2/3+1/3*sinh(d*x+c)^2)*cosh(d*x+c))","A"
186,1,76,75,0.038000," ","int(sinh(d*x+c)^2*(a+b*sinh(d*x+c)^4),x)","\frac{b \left(\left(\frac{\left(\sinh^{5}\left(d x +c \right)\right)}{6}-\frac{5 \left(\sinh^{3}\left(d x +c \right)\right)}{24}+\frac{5 \sinh \left(d x +c \right)}{16}\right) \cosh \left(d x +c \right)-\frac{5 d x}{16}-\frac{5 c}{16}\right)+a \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*(b*((1/6*sinh(d*x+c)^5-5/24*sinh(d*x+c)^3+5/16*sinh(d*x+c))*cosh(d*x+c)-5/16*d*x-5/16*c)+a*(1/2*cosh(d*x+c)*sinh(d*x+c)-1/2*d*x-1/2*c))","A"
187,1,44,42,0.033000," ","int(sinh(d*x+c)*(a+b*sinh(d*x+c)^4),x)","\frac{b \left(\frac{8}{15}+\frac{\left(\sinh^{4}\left(d x +c \right)\right)}{5}-\frac{4 \left(\sinh^{2}\left(d x +c \right)\right)}{15}\right) \cosh \left(d x +c \right)+a \cosh \left(d x +c \right)}{d}"," ",0,"1/d*(b*(8/15+1/5*sinh(d*x+c)^4-4/15*sinh(d*x+c)^2)*cosh(d*x+c)+a*cosh(d*x+c))","A"
188,1,44,46,0.016000," ","int(a+b*sinh(d*x+c)^4,x)","a x +\frac{b \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)}{d}"," ",0,"a*x+b/d*((1/4*sinh(d*x+c)^3-3/8*sinh(d*x+c))*cosh(d*x+c)+3/8*d*x+3/8*c)","A"
189,1,36,40,0.072000," ","int(csch(d*x+c)*(a+b*sinh(d*x+c)^4),x)","\frac{-2 a \arctanh \left({\mathrm e}^{d x +c}\right)+b \left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(d x +c \right)\right)}{3}\right) \cosh \left(d x +c \right)}{d}"," ",0,"1/d*(-2*a*arctanh(exp(d*x+c))+b*(-2/3+1/3*sinh(d*x+c)^2)*cosh(d*x+c))","A"
190,1,39,35,0.063000," ","int(csch(d*x+c)^2*(a+b*sinh(d*x+c)^4),x)","\frac{-\coth \left(d x +c \right) 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)}{d}"," ",0,"1/d*(-coth(d*x+c)*a+b*(1/2*cosh(d*x+c)*sinh(d*x+c)-1/2*d*x-1/2*c))","A"
191,1,38,43,0.088000," ","int(csch(d*x+c)^3*(a+b*sinh(d*x+c)^4),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 \cosh \left(d x +c \right)}{d}"," ",0,"1/d*(a*(-1/2*csch(d*x+c)*coth(d*x+c)+arctanh(exp(d*x+c)))+b*cosh(d*x+c))","A"
192,1,33,29,0.082000," ","int(csch(d*x+c)^4*(a+b*sinh(d*x+c)^4),x)","\frac{a \left(\frac{2}{3}-\frac{\mathrm{csch}\left(d x +c \right)^{2}}{3}\right) \coth \left(d x +c \right)+\left(d x +c \right) b}{d}"," ",0,"1/d*(a*(2/3-1/3*csch(d*x+c)^2)*coth(d*x+c)+(d*x+c)*b)","A"
193,1,54,58,0.092000," ","int(csch(d*x+c)^5*(a+b*sinh(d*x+c)^4),x)","\frac{a \left(\left(-\frac{\mathrm{csch}\left(d x +c \right)^{3}}{4}+\frac{3 \,\mathrm{csch}\left(d x +c \right)}{8}\right) \coth \left(d x +c \right)-\frac{3 \arctanh \left({\mathrm e}^{d x +c}\right)}{4}\right)-2 b \arctanh \left({\mathrm e}^{d x +c}\right)}{d}"," ",0,"1/d*(a*((-1/4*csch(d*x+c)^3+3/8*csch(d*x+c))*coth(d*x+c)-3/4*arctanh(exp(d*x+c)))-2*b*arctanh(exp(d*x+c)))","A"
194,1,45,43,0.086000," ","int(csch(d*x+c)^6*(a+b*sinh(d*x+c)^4),x)","\frac{a \left(-\frac{8}{15}-\frac{\mathrm{csch}\left(d x +c \right)^{4}}{5}+\frac{4 \mathrm{csch}\left(d x +c \right)^{2}}{15}\right) \coth \left(d x +c \right)-b \coth \left(d x +c \right)}{d}"," ",0,"1/d*(a*(-8/15-1/5*csch(d*x+c)^4+4/15*csch(d*x+c)^2)*coth(d*x+c)-b*coth(d*x+c))","A"
195,1,78,84,0.094000," ","int(csch(d*x+c)^7*(a+b*sinh(d*x+c)^4),x)","\frac{a \left(\left(-\frac{\mathrm{csch}\left(d x +c \right)^{5}}{6}+\frac{5 \mathrm{csch}\left(d x +c \right)^{3}}{24}-\frac{5 \,\mathrm{csch}\left(d x +c \right)}{16}\right) \coth \left(d x +c \right)+\frac{5 \arctanh \left({\mathrm e}^{d x +c}\right)}{8}\right)+b \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)}{d}"," ",0,"1/d*(a*((-1/6*csch(d*x+c)^5+5/24*csch(d*x+c)^3-5/16*csch(d*x+c))*coth(d*x+c)+5/8*arctanh(exp(d*x+c)))+b*(-1/2*csch(d*x+c)*coth(d*x+c)+arctanh(exp(d*x+c))))","A"
196,1,132,110,0.044000," ","int(sinh(d*x+c)^3*(a+b*sinh(d*x+c)^4)^2,x)","\frac{b^{2} \left(-\frac{256}{693}+\frac{\left(\sinh^{10}\left(d x +c \right)\right)}{11}-\frac{10 \left(\sinh^{8}\left(d x +c \right)\right)}{99}+\frac{80 \left(\sinh^{6}\left(d x +c \right)\right)}{693}-\frac{32 \left(\sinh^{4}\left(d x +c \right)\right)}{231}+\frac{128 \left(\sinh^{2}\left(d x +c \right)\right)}{693}\right) \cosh \left(d x +c \right)+2 a b \left(-\frac{16}{35}+\frac{\left(\sinh^{6}\left(d x +c \right)\right)}{7}-\frac{6 \left(\sinh^{4}\left(d x +c \right)\right)}{35}+\frac{8 \left(\sinh^{2}\left(d x +c \right)\right)}{35}\right) \cosh \left(d x +c \right)+a^{2} \left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(d x +c \right)\right)}{3}\right) \cosh \left(d x +c \right)}{d}"," ",0,"1/d*(b^2*(-256/693+1/11*sinh(d*x+c)^10-10/99*sinh(d*x+c)^8+80/693*sinh(d*x+c)^6-32/231*sinh(d*x+c)^4+128/693*sinh(d*x+c)^2)*cosh(d*x+c)+2*a*b*(-16/35+1/7*sinh(d*x+c)^6-6/35*sinh(d*x+c)^4+8/35*sinh(d*x+c)^2)*cosh(d*x+c)+a^2*(-2/3+1/3*sinh(d*x+c)^2)*cosh(d*x+c))","A"
197,1,148,149,0.046000," ","int(sinh(d*x+c)^2*(a+b*sinh(d*x+c)^4)^2,x)","\frac{b^{2} \left(\left(\frac{\left(\sinh^{9}\left(d x +c \right)\right)}{10}-\frac{9 \left(\sinh^{7}\left(d x +c \right)\right)}{80}+\frac{21 \left(\sinh^{5}\left(d x +c \right)\right)}{160}-\frac{21 \left(\sinh^{3}\left(d x +c \right)\right)}{128}+\frac{63 \sinh \left(d x +c \right)}{256}\right) \cosh \left(d x +c \right)-\frac{63 d x}{256}-\frac{63 c}{256}\right)+2 a b \left(\left(\frac{\left(\sinh^{5}\left(d x +c \right)\right)}{6}-\frac{5 \left(\sinh^{3}\left(d x +c \right)\right)}{24}+\frac{5 \sinh \left(d x +c \right)}{16}\right) \cosh \left(d x +c \right)-\frac{5 d x}{16}-\frac{5 c}{16}\right)+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)}{d}"," ",0,"1/d*(b^2*((1/10*sinh(d*x+c)^9-9/80*sinh(d*x+c)^7+21/160*sinh(d*x+c)^5-21/128*sinh(d*x+c)^3+63/256*sinh(d*x+c))*cosh(d*x+c)-63/256*d*x-63/256*c)+2*a*b*((1/6*sinh(d*x+c)^5-5/24*sinh(d*x+c)^3+5/16*sinh(d*x+c))*cosh(d*x+c)-5/16*d*x-5/16*c)+a^2*(1/2*cosh(d*x+c)*sinh(d*x+c)-1/2*d*x-1/2*c))","A"
198,1,100,84,0.042000," ","int(sinh(d*x+c)*(a+b*sinh(d*x+c)^4)^2,x)","\frac{b^{2} \left(\frac{128}{315}+\frac{\left(\sinh^{8}\left(d x +c \right)\right)}{9}-\frac{8 \left(\sinh^{6}\left(d x +c \right)\right)}{63}+\frac{16 \left(\sinh^{4}\left(d x +c \right)\right)}{105}-\frac{64 \left(\sinh^{2}\left(d x +c \right)\right)}{315}\right) \cosh \left(d x +c \right)+2 a b \left(\frac{8}{15}+\frac{\left(\sinh^{4}\left(d x +c \right)\right)}{5}-\frac{4 \left(\sinh^{2}\left(d x +c \right)\right)}{15}\right) \cosh \left(d x +c \right)+a^{2} \cosh \left(d x +c \right)}{d}"," ",0,"1/d*(b^2*(128/315+1/9*sinh(d*x+c)^8-8/63*sinh(d*x+c)^6+16/105*sinh(d*x+c)^4-64/315*sinh(d*x+c)^2)*cosh(d*x+c)+2*a*b*(8/15+1/5*sinh(d*x+c)^4-4/15*sinh(d*x+c)^2)*cosh(d*x+c)+a^2*cosh(d*x+c))","A"
199,1,111,115,0.041000," ","int((a+b*sinh(d*x+c)^4)^2,x)","\frac{b^{2} \left(\left(\frac{\left(\sinh^{7}\left(d x +c \right)\right)}{8}-\frac{7 \left(\sinh^{5}\left(d x +c \right)\right)}{48}+\frac{35 \left(\sinh^{3}\left(d x +c \right)\right)}{192}-\frac{35 \sinh \left(d x +c \right)}{128}\right) \cosh \left(d x +c \right)+\frac{35 d x}{128}+\frac{35 c}{128}\right)+2 a b \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)+a^{2} \left(d x +c \right)}{d}"," ",0,"1/d*(b^2*((1/8*sinh(d*x+c)^7-7/48*sinh(d*x+c)^5+35/192*sinh(d*x+c)^3-35/128*sinh(d*x+c))*cosh(d*x+c)+35/128*d*x+35/128*c)+2*a*b*((1/4*sinh(d*x+c)^3-3/8*sinh(d*x+c))*cosh(d*x+c)+3/8*d*x+3/8*c)+a^2*(d*x+c))","A"
200,1,82,86,0.083000," ","int(csch(d*x+c)*(a+b*sinh(d*x+c)^4)^2,x)","\frac{-2 a^{2} \arctanh \left({\mathrm e}^{d x +c}\right)+2 a b \left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(d x +c \right)\right)}{3}\right) \cosh \left(d x +c \right)+b^{2} \left(-\frac{16}{35}+\frac{\left(\sinh^{6}\left(d x +c \right)\right)}{7}-\frac{6 \left(\sinh^{4}\left(d x +c \right)\right)}{35}+\frac{8 \left(\sinh^{2}\left(d x +c \right)\right)}{35}\right) \cosh \left(d x +c \right)}{d}"," ",0,"1/d*(-2*a^2*arctanh(exp(d*x+c))+2*a*b*(-2/3+1/3*sinh(d*x+c)^2)*cosh(d*x+c)+b^2*(-16/35+1/7*sinh(d*x+c)^6-6/35*sinh(d*x+c)^4+8/35*sinh(d*x+c)^2)*cosh(d*x+c))","A"
201,1,91,95,0.075000," ","int(csch(d*x+c)^2*(a+b*sinh(d*x+c)^4)^2,x)","\frac{-a^{2} \coth \left(d x +c \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(\left(\frac{\left(\sinh^{5}\left(d x +c \right)\right)}{6}-\frac{5 \left(\sinh^{3}\left(d x +c \right)\right)}{24}+\frac{5 \sinh \left(d x +c \right)}{16}\right) \cosh \left(d x +c \right)-\frac{5 d x}{16}-\frac{5 c}{16}\right)}{d}"," ",0,"1/d*(-a^2*coth(d*x+c)+2*a*b*(1/2*cosh(d*x+c)*sinh(d*x+c)-1/2*d*x-1/2*c)+b^2*((1/6*sinh(d*x+c)^5-5/24*sinh(d*x+c)^3+5/16*sinh(d*x+c))*cosh(d*x+c)-5/16*d*x-5/16*c))","A"
202,1,74,84,0.099000," ","int(csch(d*x+c)^3*(a+b*sinh(d*x+c)^4)^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 \cosh \left(d x +c \right)+b^{2} \left(\frac{8}{15}+\frac{\left(\sinh^{4}\left(d x +c \right)\right)}{5}-\frac{4 \left(\sinh^{2}\left(d x +c \right)\right)}{15}\right) \cosh \left(d x +c \right)}{d}"," ",0,"1/d*(a^2*(-1/2*csch(d*x+c)*coth(d*x+c)+arctanh(exp(d*x+c)))+2*a*b*cosh(d*x+c)+b^2*(8/15+1/5*sinh(d*x+c)^4-4/15*sinh(d*x+c)^2)*cosh(d*x+c))","A"
203,1,75,83,0.090000," ","int(csch(d*x+c)^4*(a+b*sinh(d*x+c)^4)^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(d x +c \right)+b^{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)}{d}"," ",0,"1/d*(a^2*(2/3-1/3*csch(d*x+c)^2)*coth(d*x+c)+2*a*b*(d*x+c)+b^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))","A"
204,1,79,93,0.096000," ","int(csch(d*x+c)^5*(a+b*sinh(d*x+c)^4)^2,x)","\frac{a^{2} \left(\left(-\frac{\mathrm{csch}\left(d x +c \right)^{3}}{4}+\frac{3 \,\mathrm{csch}\left(d x +c \right)}{8}\right) \coth \left(d x +c \right)-\frac{3 \arctanh \left({\mathrm e}^{d x +c}\right)}{4}\right)-4 a b \arctanh \left({\mathrm e}^{d x +c}\right)+b^{2} \left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(d x +c \right)\right)}{3}\right) \cosh \left(d x +c \right)}{d}"," ",0,"1/d*(a^2*((-1/4*csch(d*x+c)^3+3/8*csch(d*x+c))*coth(d*x+c)-3/4*arctanh(exp(d*x+c)))-4*a*b*arctanh(exp(d*x+c))+b^2*(-2/3+1/3*sinh(d*x+c)^2)*cosh(d*x+c))","A"
205,1,74,76,0.097000," ","int(csch(d*x+c)^6*(a+b*sinh(d*x+c)^4)^2,x)","\frac{a^{2} \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)-2 a b \coth \left(d x +c \right)+b^{2} \left(\frac{\cosh \left(d x +c \right) \sinh \left(d x +c \right)}{2}-\frac{d x}{2}-\frac{c}{2}\right)}{d}"," ",0,"1/d*(a^2*(-8/15-1/5*csch(d*x+c)^4+4/15*csch(d*x+c)^2)*coth(d*x+c)-2*a*b*coth(d*x+c)+b^2*(1/2*cosh(d*x+c)*sinh(d*x+c)-1/2*d*x-1/2*c))","A"
206,1,92,103,0.095000," ","int(csch(d*x+c)^7*(a+b*sinh(d*x+c)^4)^2,x)","\frac{a^{2} \left(\left(-\frac{\mathrm{csch}\left(d x +c \right)^{5}}{6}+\frac{5 \mathrm{csch}\left(d x +c \right)^{3}}{24}-\frac{5 \,\mathrm{csch}\left(d x +c \right)}{16}\right) \coth \left(d x +c \right)+\frac{5 \arctanh \left({\mathrm e}^{d x +c}\right)}{8}\right)+2 a b \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^{2} \cosh \left(d x +c \right)}{d}"," ",0,"1/d*(a^2*((-1/6*csch(d*x+c)^5+5/24*csch(d*x+c)^3-5/16*csch(d*x+c))*coth(d*x+c)+5/8*arctanh(exp(d*x+c)))+2*a*b*(-1/2*csch(d*x+c)*coth(d*x+c)+arctanh(exp(d*x+c)))+b^2*cosh(d*x+c))","A"
207,1,258,204,0.169000," ","int(sinh(d*x+c)^5*(a+b*sinh(d*x+c)^4)^3,x)","\frac{b^{3} \left(\frac{32768}{109395}+\frac{\left(\sinh^{16}\left(d x +c \right)\right)}{17}-\frac{16 \left(\sinh^{14}\left(d x +c \right)\right)}{255}+\frac{224 \left(\sinh^{12}\left(d x +c \right)\right)}{3315}-\frac{896 \left(\sinh^{10}\left(d x +c \right)\right)}{12155}+\frac{1792 \left(\sinh^{8}\left(d x +c \right)\right)}{21879}-\frac{2048 \left(\sinh^{6}\left(d x +c \right)\right)}{21879}+\frac{4096 \left(\sinh^{4}\left(d x +c \right)\right)}{36465}-\frac{16384 \left(\sinh^{2}\left(d x +c \right)\right)}{109395}\right) \cosh \left(d x +c \right)+3 a \,b^{2} \left(\frac{1024}{3003}+\frac{\left(\sinh^{12}\left(d x +c \right)\right)}{13}-\frac{12 \left(\sinh^{10}\left(d x +c \right)\right)}{143}+\frac{40 \left(\sinh^{8}\left(d x +c \right)\right)}{429}-\frac{320 \left(\sinh^{6}\left(d x +c \right)\right)}{3003}+\frac{128 \left(\sinh^{4}\left(d x +c \right)\right)}{1001}-\frac{512 \left(\sinh^{2}\left(d x +c \right)\right)}{3003}\right) \cosh \left(d x +c \right)+3 a^{2} b \left(\frac{128}{315}+\frac{\left(\sinh^{8}\left(d x +c \right)\right)}{9}-\frac{8 \left(\sinh^{6}\left(d x +c \right)\right)}{63}+\frac{16 \left(\sinh^{4}\left(d x +c \right)\right)}{105}-\frac{64 \left(\sinh^{2}\left(d x +c \right)\right)}{315}\right) \cosh \left(d x +c \right)+a^{3} \left(\frac{8}{15}+\frac{\left(\sinh^{4}\left(d x +c \right)\right)}{5}-\frac{4 \left(\sinh^{2}\left(d x +c \right)\right)}{15}\right) \cosh \left(d x +c \right)}{d}"," ",0,"1/d*(b^3*(32768/109395+1/17*sinh(d*x+c)^16-16/255*sinh(d*x+c)^14+224/3315*sinh(d*x+c)^12-896/12155*sinh(d*x+c)^10+1792/21879*sinh(d*x+c)^8-2048/21879*sinh(d*x+c)^6+4096/36465*sinh(d*x+c)^4-16384/109395*sinh(d*x+c)^2)*cosh(d*x+c)+3*a*b^2*(1024/3003+1/13*sinh(d*x+c)^12-12/143*sinh(d*x+c)^10+40/429*sinh(d*x+c)^8-320/3003*sinh(d*x+c)^6+128/1001*sinh(d*x+c)^4-512/3003*sinh(d*x+c)^2)*cosh(d*x+c)+3*a^2*b*(128/315+1/9*sinh(d*x+c)^8-8/63*sinh(d*x+c)^6+16/105*sinh(d*x+c)^4-64/315*sinh(d*x+c)^2)*cosh(d*x+c)+a^3*(8/15+1/5*sinh(d*x+c)^4-4/15*sinh(d*x+c)^2)*cosh(d*x+c))","A"
208,1,218,169,0.134000," ","int(sinh(d*x+c)^3*(a+b*sinh(d*x+c)^4)^3,x)","\frac{b^{3} \left(-\frac{2048}{6435}+\frac{\left(\sinh^{14}\left(d x +c \right)\right)}{15}-\frac{14 \left(\sinh^{12}\left(d x +c \right)\right)}{195}+\frac{56 \left(\sinh^{10}\left(d x +c \right)\right)}{715}-\frac{112 \left(\sinh^{8}\left(d x +c \right)\right)}{1287}+\frac{128 \left(\sinh^{6}\left(d x +c \right)\right)}{1287}-\frac{256 \left(\sinh^{4}\left(d x +c \right)\right)}{2145}+\frac{1024 \left(\sinh^{2}\left(d x +c \right)\right)}{6435}\right) \cosh \left(d x +c \right)+3 a \,b^{2} \left(-\frac{256}{693}+\frac{\left(\sinh^{10}\left(d x +c \right)\right)}{11}-\frac{10 \left(\sinh^{8}\left(d x +c \right)\right)}{99}+\frac{80 \left(\sinh^{6}\left(d x +c \right)\right)}{693}-\frac{32 \left(\sinh^{4}\left(d x +c \right)\right)}{231}+\frac{128 \left(\sinh^{2}\left(d x +c \right)\right)}{693}\right) \cosh \left(d x +c \right)+3 a^{2} b \left(-\frac{16}{35}+\frac{\left(\sinh^{6}\left(d x +c \right)\right)}{7}-\frac{6 \left(\sinh^{4}\left(d x +c \right)\right)}{35}+\frac{8 \left(\sinh^{2}\left(d x +c \right)\right)}{35}\right) \cosh \left(d x +c \right)+a^{3} \left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(d x +c \right)\right)}{3}\right) \cosh \left(d x +c \right)}{d}"," ",0,"1/d*(b^3*(-2048/6435+1/15*sinh(d*x+c)^14-14/195*sinh(d*x+c)^12+56/715*sinh(d*x+c)^10-112/1287*sinh(d*x+c)^8+128/1287*sinh(d*x+c)^6-256/2145*sinh(d*x+c)^4+1024/6435*sinh(d*x+c)^2)*cosh(d*x+c)+3*a*b^2*(-256/693+1/11*sinh(d*x+c)^10-10/99*sinh(d*x+c)^8+80/693*sinh(d*x+c)^6-32/231*sinh(d*x+c)^4+128/693*sinh(d*x+c)^2)*cosh(d*x+c)+3*a^2*b*(-16/35+1/7*sinh(d*x+c)^6-6/35*sinh(d*x+c)^4+8/35*sinh(d*x+c)^2)*cosh(d*x+c)+a^3*(-2/3+1/3*sinh(d*x+c)^2)*cosh(d*x+c))","A"
209,1,176,133,0.050000," ","int(sinh(d*x+c)*(a+b*sinh(d*x+c)^4)^3,x)","\frac{b^{3} \left(\frac{1024}{3003}+\frac{\left(\sinh^{12}\left(d x +c \right)\right)}{13}-\frac{12 \left(\sinh^{10}\left(d x +c \right)\right)}{143}+\frac{40 \left(\sinh^{8}\left(d x +c \right)\right)}{429}-\frac{320 \left(\sinh^{6}\left(d x +c \right)\right)}{3003}+\frac{128 \left(\sinh^{4}\left(d x +c \right)\right)}{1001}-\frac{512 \left(\sinh^{2}\left(d x +c \right)\right)}{3003}\right) \cosh \left(d x +c \right)+3 a \,b^{2} \left(\frac{128}{315}+\frac{\left(\sinh^{8}\left(d x +c \right)\right)}{9}-\frac{8 \left(\sinh^{6}\left(d x +c \right)\right)}{63}+\frac{16 \left(\sinh^{4}\left(d x +c \right)\right)}{105}-\frac{64 \left(\sinh^{2}\left(d x +c \right)\right)}{315}\right) \cosh \left(d x +c \right)+3 a^{2} b \left(\frac{8}{15}+\frac{\left(\sinh^{4}\left(d x +c \right)\right)}{5}-\frac{4 \left(\sinh^{2}\left(d x +c \right)\right)}{15}\right) \cosh \left(d x +c \right)+a^{3} \cosh \left(d x +c \right)}{d}"," ",0,"1/d*(b^3*(1024/3003+1/13*sinh(d*x+c)^12-12/143*sinh(d*x+c)^10+40/429*sinh(d*x+c)^8-320/3003*sinh(d*x+c)^6+128/1001*sinh(d*x+c)^4-512/3003*sinh(d*x+c)^2)*cosh(d*x+c)+3*a*b^2*(128/315+1/9*sinh(d*x+c)^8-8/63*sinh(d*x+c)^6+16/105*sinh(d*x+c)^4-64/315*sinh(d*x+c)^2)*cosh(d*x+c)+3*a^2*b*(8/15+1/5*sinh(d*x+c)^4-4/15*sinh(d*x+c)^2)*cosh(d*x+c)+a^3*cosh(d*x+c))","A"
210,1,148,148,0.081000," ","int(csch(d*x+c)*(a+b*sinh(d*x+c)^4)^3,x)","\frac{-2 a^{3} \arctanh \left({\mathrm e}^{d x +c}\right)+3 a^{2} b \left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(d x +c \right)\right)}{3}\right) \cosh \left(d x +c \right)+3 a \,b^{2} \left(-\frac{16}{35}+\frac{\left(\sinh^{6}\left(d x +c \right)\right)}{7}-\frac{6 \left(\sinh^{4}\left(d x +c \right)\right)}{35}+\frac{8 \left(\sinh^{2}\left(d x +c \right)\right)}{35}\right) \cosh \left(d x +c \right)+b^{3} \left(-\frac{256}{693}+\frac{\left(\sinh^{10}\left(d x +c \right)\right)}{11}-\frac{10 \left(\sinh^{8}\left(d x +c \right)\right)}{99}+\frac{80 \left(\sinh^{6}\left(d x +c \right)\right)}{693}-\frac{32 \left(\sinh^{4}\left(d x +c \right)\right)}{231}+\frac{128 \left(\sinh^{2}\left(d x +c \right)\right)}{693}\right) \cosh \left(d x +c \right)}{d}"," ",0,"1/d*(-2*a^3*arctanh(exp(d*x+c))+3*a^2*b*(-2/3+1/3*sinh(d*x+c)^2)*cosh(d*x+c)+3*a*b^2*(-16/35+1/7*sinh(d*x+c)^6-6/35*sinh(d*x+c)^4+8/35*sinh(d*x+c)^2)*cosh(d*x+c)+b^3*(-256/693+1/11*sinh(d*x+c)^10-10/99*sinh(d*x+c)^8+80/693*sinh(d*x+c)^6-32/231*sinh(d*x+c)^4+128/693*sinh(d*x+c)^2)*cosh(d*x+c))","A"
211,1,130,136,0.102000," ","int(csch(d*x+c)^3*(a+b*sinh(d*x+c)^4)^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 \cosh \left(d x +c \right)+3 a \,b^{2} \left(\frac{8}{15}+\frac{\left(\sinh^{4}\left(d x +c \right)\right)}{5}-\frac{4 \left(\sinh^{2}\left(d x +c \right)\right)}{15}\right) \cosh \left(d x +c \right)+b^{3} \left(\frac{128}{315}+\frac{\left(\sinh^{8}\left(d x +c \right)\right)}{9}-\frac{8 \left(\sinh^{6}\left(d x +c \right)\right)}{63}+\frac{16 \left(\sinh^{4}\left(d x +c \right)\right)}{105}-\frac{64 \left(\sinh^{2}\left(d x +c \right)\right)}{315}\right) \cosh \left(d x +c \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*cosh(d*x+c)+3*a*b^2*(8/15+1/5*sinh(d*x+c)^4-4/15*sinh(d*x+c)^2)*cosh(d*x+c)+b^3*(128/315+1/9*sinh(d*x+c)^8-8/63*sinh(d*x+c)^6+16/105*sinh(d*x+c)^4-64/315*sinh(d*x+c)^2)*cosh(d*x+c))","A"
212,1,125,132,0.101000," ","int(csch(d*x+c)^5*(a+b*sinh(d*x+c)^4)^3,x)","\frac{a^{3} \left(\left(-\frac{\mathrm{csch}\left(d x +c \right)^{3}}{4}+\frac{3 \,\mathrm{csch}\left(d x +c \right)}{8}\right) \coth \left(d x +c \right)-\frac{3 \arctanh \left({\mathrm e}^{d x +c}\right)}{4}\right)-6 a^{2} b \arctanh \left({\mathrm e}^{d x +c}\right)+3 a \,b^{2} \left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(d x +c \right)\right)}{3}\right) \cosh \left(d x +c \right)+b^{3} \left(-\frac{16}{35}+\frac{\left(\sinh^{6}\left(d x +c \right)\right)}{7}-\frac{6 \left(\sinh^{4}\left(d x +c \right)\right)}{35}+\frac{8 \left(\sinh^{2}\left(d x +c \right)\right)}{35}\right) \cosh \left(d x +c \right)}{d}"," ",0,"1/d*(a^3*((-1/4*csch(d*x+c)^3+3/8*csch(d*x+c))*coth(d*x+c)-3/4*arctanh(exp(d*x+c)))-6*a^2*b*arctanh(exp(d*x+c))+3*a*b^2*(-2/3+1/3*sinh(d*x+c)^2)*cosh(d*x+c)+b^3*(-16/35+1/7*sinh(d*x+c)^6-6/35*sinh(d*x+c)^4+8/35*sinh(d*x+c)^2)*cosh(d*x+c))","A"
213,1,128,144,0.098000," ","int(csch(d*x+c)^7*(a+b*sinh(d*x+c)^4)^3,x)","\frac{a^{3} \left(\left(-\frac{\mathrm{csch}\left(d x +c \right)^{5}}{6}+\frac{5 \mathrm{csch}\left(d x +c \right)^{3}}{24}-\frac{5 \,\mathrm{csch}\left(d x +c \right)}{16}\right) \coth \left(d x +c \right)+\frac{5 \arctanh \left({\mathrm e}^{d x +c}\right)}{8}\right)+3 a^{2} b \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 \,b^{2} \cosh \left(d x +c \right)+b^{3} \left(\frac{8}{15}+\frac{\left(\sinh^{4}\left(d x +c \right)\right)}{5}-\frac{4 \left(\sinh^{2}\left(d x +c \right)\right)}{15}\right) \cosh \left(d x +c \right)}{d}"," ",0,"1/d*(a^3*((-1/6*csch(d*x+c)^5+5/24*csch(d*x+c)^3-5/16*csch(d*x+c))*coth(d*x+c)+5/8*arctanh(exp(d*x+c)))+3*a^2*b*(-1/2*csch(d*x+c)*coth(d*x+c)+arctanh(exp(d*x+c)))+3*a*b^2*cosh(d*x+c)+b^3*(8/15+1/5*sinh(d*x+c)^4-4/15*sinh(d*x+c)^2)*cosh(d*x+c))","A"
214,1,143,159,0.142000," ","int(csch(d*x+c)^9*(a+b*sinh(d*x+c)^4)^3,x)","\frac{a^{3} \left(\left(-\frac{\mathrm{csch}\left(d x +c \right)^{7}}{8}+\frac{7 \mathrm{csch}\left(d x +c \right)^{5}}{48}-\frac{35 \mathrm{csch}\left(d x +c \right)^{3}}{192}+\frac{35 \,\mathrm{csch}\left(d x +c \right)}{128}\right) \coth \left(d x +c \right)-\frac{35 \arctanh \left({\mathrm e}^{d x +c}\right)}{64}\right)+3 a^{2} b \left(\left(-\frac{\mathrm{csch}\left(d x +c \right)^{3}}{4}+\frac{3 \,\mathrm{csch}\left(d x +c \right)}{8}\right) \coth \left(d x +c \right)-\frac{3 \arctanh \left({\mathrm e}^{d x +c}\right)}{4}\right)-6 a \,b^{2} \arctanh \left({\mathrm e}^{d x +c}\right)+b^{3} \left(-\frac{2}{3}+\frac{\left(\sinh^{2}\left(d x +c \right)\right)}{3}\right) \cosh \left(d x +c \right)}{d}"," ",0,"1/d*(a^3*((-1/8*csch(d*x+c)^7+7/48*csch(d*x+c)^5-35/192*csch(d*x+c)^3+35/128*csch(d*x+c))*coth(d*x+c)-35/64*arctanh(exp(d*x+c)))+3*a^2*b*((-1/4*csch(d*x+c)^3+3/8*csch(d*x+c))*coth(d*x+c)-3/4*arctanh(exp(d*x+c)))-6*a*b^2*arctanh(exp(d*x+c))+b^3*(-2/3+1/3*sinh(d*x+c)^2)*cosh(d*x+c))","A"
215,1,166,177,0.155000," ","int(csch(d*x+c)^11*(a+b*sinh(d*x+c)^4)^3,x)","\frac{a^{3} \left(\left(-\frac{\mathrm{csch}\left(d x +c \right)^{9}}{10}+\frac{9 \mathrm{csch}\left(d x +c \right)^{7}}{80}-\frac{21 \mathrm{csch}\left(d x +c \right)^{5}}{160}+\frac{21 \mathrm{csch}\left(d x +c \right)^{3}}{128}-\frac{63 \,\mathrm{csch}\left(d x +c \right)}{256}\right) \coth \left(d x +c \right)+\frac{63 \arctanh \left({\mathrm e}^{d x +c}\right)}{128}\right)+3 a^{2} b \left(\left(-\frac{\mathrm{csch}\left(d x +c \right)^{5}}{6}+\frac{5 \mathrm{csch}\left(d x +c \right)^{3}}{24}-\frac{5 \,\mathrm{csch}\left(d x +c \right)}{16}\right) \coth \left(d x +c \right)+\frac{5 \arctanh \left({\mathrm e}^{d x +c}\right)}{8}\right)+3 a \,b^{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)+b^{3} \cosh \left(d x +c \right)}{d}"," ",0,"1/d*(a^3*((-1/10*csch(d*x+c)^9+9/80*csch(d*x+c)^7-21/160*csch(d*x+c)^5+21/128*csch(d*x+c)^3-63/256*csch(d*x+c))*coth(d*x+c)+63/128*arctanh(exp(d*x+c)))+3*a^2*b*((-1/6*csch(d*x+c)^5+5/24*csch(d*x+c)^3-5/16*csch(d*x+c))*coth(d*x+c)+5/8*arctanh(exp(d*x+c)))+3*a*b^2*(-1/2*csch(d*x+c)*coth(d*x+c)+arctanh(exp(d*x+c)))+b^3*cosh(d*x+c))","A"
216,1,202,206,0.141000," ","int(csch(d*x+c)^13*(a+b*sinh(d*x+c)^4)^3,x)","\frac{a^{3} \left(\left(-\frac{\mathrm{csch}\left(d x +c \right)^{11}}{12}+\frac{11 \mathrm{csch}\left(d x +c \right)^{9}}{120}-\frac{33 \mathrm{csch}\left(d x +c \right)^{7}}{320}+\frac{77 \mathrm{csch}\left(d x +c \right)^{5}}{640}-\frac{77 \mathrm{csch}\left(d x +c \right)^{3}}{512}+\frac{231 \,\mathrm{csch}\left(d x +c \right)}{1024}\right) \coth \left(d x +c \right)-\frac{231 \arctanh \left({\mathrm e}^{d x +c}\right)}{512}\right)+3 a^{2} b \left(\left(-\frac{\mathrm{csch}\left(d x +c \right)^{7}}{8}+\frac{7 \mathrm{csch}\left(d x +c \right)^{5}}{48}-\frac{35 \mathrm{csch}\left(d x +c \right)^{3}}{192}+\frac{35 \,\mathrm{csch}\left(d x +c \right)}{128}\right) \coth \left(d x +c \right)-\frac{35 \arctanh \left({\mathrm e}^{d x +c}\right)}{64}\right)+3 a \,b^{2} \left(\left(-\frac{\mathrm{csch}\left(d x +c \right)^{3}}{4}+\frac{3 \,\mathrm{csch}\left(d x +c \right)}{8}\right) \coth \left(d x +c \right)-\frac{3 \arctanh \left({\mathrm e}^{d x +c}\right)}{4}\right)-2 b^{3} \arctanh \left({\mathrm e}^{d x +c}\right)}{d}"," ",0,"1/d*(a^3*((-1/12*csch(d*x+c)^11+11/120*csch(d*x+c)^9-33/320*csch(d*x+c)^7+77/640*csch(d*x+c)^5-77/512*csch(d*x+c)^3+231/1024*csch(d*x+c))*coth(d*x+c)-231/512*arctanh(exp(d*x+c)))+3*a^2*b*((-1/8*csch(d*x+c)^7+7/48*csch(d*x+c)^5-35/192*csch(d*x+c)^3+35/128*csch(d*x+c))*coth(d*x+c)-35/64*arctanh(exp(d*x+c)))+3*a*b^2*((-1/4*csch(d*x+c)^3+3/8*csch(d*x+c))*coth(d*x+c)-3/4*arctanh(exp(d*x+c)))-2*b^3*arctanh(exp(d*x+c)))","A"
217,1,240,239,0.151000," ","int(sinh(d*x+c)^2*(a+b*sinh(d*x+c)^4)^3,x)","\frac{b^{3} \left(\left(\frac{\left(\sinh^{13}\left(d x +c \right)\right)}{14}-\frac{13 \left(\sinh^{11}\left(d x +c \right)\right)}{168}+\frac{143 \left(\sinh^{9}\left(d x +c \right)\right)}{1680}-\frac{429 \left(\sinh^{7}\left(d x +c \right)\right)}{4480}+\frac{143 \left(\sinh^{5}\left(d x +c \right)\right)}{1280}-\frac{143 \left(\sinh^{3}\left(d x +c \right)\right)}{1024}+\frac{429 \sinh \left(d x +c \right)}{2048}\right) \cosh \left(d x +c \right)-\frac{429 d x}{2048}-\frac{429 c}{2048}\right)+3 a \,b^{2} \left(\left(\frac{\left(\sinh^{9}\left(d x +c \right)\right)}{10}-\frac{9 \left(\sinh^{7}\left(d x +c \right)\right)}{80}+\frac{21 \left(\sinh^{5}\left(d x +c \right)\right)}{160}-\frac{21 \left(\sinh^{3}\left(d x +c \right)\right)}{128}+\frac{63 \sinh \left(d x +c \right)}{256}\right) \cosh \left(d x +c \right)-\frac{63 d x}{256}-\frac{63 c}{256}\right)+3 a^{2} b \left(\left(\frac{\left(\sinh^{5}\left(d x +c \right)\right)}{6}-\frac{5 \left(\sinh^{3}\left(d x +c \right)\right)}{24}+\frac{5 \sinh \left(d x +c \right)}{16}\right) \cosh \left(d x +c \right)-\frac{5 d x}{16}-\frac{5 c}{16}\right)+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)}{d}"," ",0,"1/d*(b^3*((1/14*sinh(d*x+c)^13-13/168*sinh(d*x+c)^11+143/1680*sinh(d*x+c)^9-429/4480*sinh(d*x+c)^7+143/1280*sinh(d*x+c)^5-143/1024*sinh(d*x+c)^3+429/2048*sinh(d*x+c))*cosh(d*x+c)-429/2048*d*x-429/2048*c)+3*a*b^2*((1/10*sinh(d*x+c)^9-9/80*sinh(d*x+c)^7+21/160*sinh(d*x+c)^5-21/128*sinh(d*x+c)^3+63/256*sinh(d*x+c))*cosh(d*x+c)-63/256*d*x-63/256*c)+3*a^2*b*((1/6*sinh(d*x+c)^5-5/24*sinh(d*x+c)^3+5/16*sinh(d*x+c))*cosh(d*x+c)-5/16*d*x-5/16*c)+a^3*(1/2*cosh(d*x+c)*sinh(d*x+c)-1/2*d*x-1/2*c))","A"
218,1,193,197,0.128000," ","int((a+b*sinh(d*x+c)^4)^3,x)","\frac{b^{3} \left(\left(\frac{\left(\sinh^{11}\left(d x +c \right)\right)}{12}-\frac{11 \left(\sinh^{9}\left(d x +c \right)\right)}{120}+\frac{33 \left(\sinh^{7}\left(d x +c \right)\right)}{320}-\frac{77 \left(\sinh^{5}\left(d x +c \right)\right)}{640}+\frac{77 \left(\sinh^{3}\left(d x +c \right)\right)}{512}-\frac{231 \sinh \left(d x +c \right)}{1024}\right) \cosh \left(d x +c \right)+\frac{231 d x}{1024}+\frac{231 c}{1024}\right)+3 a \,b^{2} \left(\left(\frac{\left(\sinh^{7}\left(d x +c \right)\right)}{8}-\frac{7 \left(\sinh^{5}\left(d x +c \right)\right)}{48}+\frac{35 \left(\sinh^{3}\left(d x +c \right)\right)}{192}-\frac{35 \sinh \left(d x +c \right)}{128}\right) \cosh \left(d x +c \right)+\frac{35 d x}{128}+\frac{35 c}{128}\right)+3 a^{2} b \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)+a^{3} \left(d x +c \right)}{d}"," ",0,"1/d*(b^3*((1/12*sinh(d*x+c)^11-11/120*sinh(d*x+c)^9+33/320*sinh(d*x+c)^7-77/640*sinh(d*x+c)^5+77/512*sinh(d*x+c)^3-231/1024*sinh(d*x+c))*cosh(d*x+c)+231/1024*d*x+231/1024*c)+3*a*b^2*((1/8*sinh(d*x+c)^7-7/48*sinh(d*x+c)^5+35/192*sinh(d*x+c)^3-35/128*sinh(d*x+c))*cosh(d*x+c)+35/128*d*x+35/128*c)+3*a^2*b*((1/4*sinh(d*x+c)^3-3/8*sinh(d*x+c))*cosh(d*x+c)+3/8*d*x+3/8*c)+a^3*(d*x+c))","A"
219,1,163,169,0.078000," ","int(csch(d*x+c)^2*(a+b*sinh(d*x+c)^4)^3,x)","\frac{-a^{3} \coth \left(d x +c \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(\left(\frac{\left(\sinh^{5}\left(d x +c \right)\right)}{6}-\frac{5 \left(\sinh^{3}\left(d x +c \right)\right)}{24}+\frac{5 \sinh \left(d x +c \right)}{16}\right) \cosh \left(d x +c \right)-\frac{5 d x}{16}-\frac{5 c}{16}\right)+b^{3} \left(\left(\frac{\left(\sinh^{9}\left(d x +c \right)\right)}{10}-\frac{9 \left(\sinh^{7}\left(d x +c \right)\right)}{80}+\frac{21 \left(\sinh^{5}\left(d x +c \right)\right)}{160}-\frac{21 \left(\sinh^{3}\left(d x +c \right)\right)}{128}+\frac{63 \sinh \left(d x +c \right)}{256}\right) \cosh \left(d x +c \right)-\frac{63 d x}{256}-\frac{63 c}{256}\right)}{d}"," ",0,"1/d*(-a^3*coth(d*x+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*((1/6*sinh(d*x+c)^5-5/24*sinh(d*x+c)^3+5/16*sinh(d*x+c))*cosh(d*x+c)-5/16*d*x-5/16*c)+b^3*((1/10*sinh(d*x+c)^9-9/80*sinh(d*x+c)^7+21/160*sinh(d*x+c)^5-21/128*sinh(d*x+c)^3+63/256*sinh(d*x+c))*cosh(d*x+c)-63/256*d*x-63/256*c))","A"
220,1,137,149,0.095000," ","int(csch(d*x+c)^4*(a+b*sinh(d*x+c)^4)^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(d x +c \right)+3 a \,b^{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)+b^{3} \left(\left(\frac{\left(\sinh^{7}\left(d x +c \right)\right)}{8}-\frac{7 \left(\sinh^{5}\left(d x +c \right)\right)}{48}+\frac{35 \left(\sinh^{3}\left(d x +c \right)\right)}{192}-\frac{35 \sinh \left(d x +c \right)}{128}\right) \cosh \left(d x +c \right)+\frac{35 d x}{128}+\frac{35 c}{128}\right)}{d}"," ",0,"1/d*(a^3*(2/3-1/3*csch(d*x+c)^2)*coth(d*x+c)+3*a^2*b*(d*x+c)+3*a*b^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)+b^3*((1/8*sinh(d*x+c)^7-7/48*sinh(d*x+c)^5+35/192*sinh(d*x+c)^3-35/128*sinh(d*x+c))*cosh(d*x+c)+35/128*d*x+35/128*c))","A"
221,1,126,136,0.094000," ","int(csch(d*x+c)^6*(a+b*sinh(d*x+c)^4)^3,x)","\frac{a^{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)-3 a^{2} b \coth \left(d x +c \right)+3 a \,b^{2} \left(\frac{\cosh \left(d x +c \right) \sinh \left(d x +c \right)}{2}-\frac{d x}{2}-\frac{c}{2}\right)+b^{3} \left(\left(\frac{\left(\sinh^{5}\left(d x +c \right)\right)}{6}-\frac{5 \left(\sinh^{3}\left(d x +c \right)\right)}{24}+\frac{5 \sinh \left(d x +c \right)}{16}\right) \cosh \left(d x +c \right)-\frac{5 d x}{16}-\frac{5 c}{16}\right)}{d}"," ",0,"1/d*(a^3*(-8/15-1/5*csch(d*x+c)^4+4/15*csch(d*x+c)^2)*coth(d*x+c)-3*a^2*b*coth(d*x+c)+3*a*b^2*(1/2*cosh(d*x+c)*sinh(d*x+c)-1/2*d*x-1/2*c)+b^3*((1/6*sinh(d*x+c)^5-5/24*sinh(d*x+c)^3+5/16*sinh(d*x+c))*cosh(d*x+c)-5/16*d*x-5/16*c))","A"
222,1,121,123,0.154000," ","int(csch(d*x+c)^8*(a+b*sinh(d*x+c)^4)^3,x)","\frac{a^{3} \left(\frac{16}{35}-\frac{\mathrm{csch}\left(d x +c \right)^{6}}{7}+\frac{6 \mathrm{csch}\left(d x +c \right)^{4}}{35}-\frac{8 \mathrm{csch}\left(d x +c \right)^{2}}{35}\right) \coth \left(d x +c \right)+3 a^{2} b \left(\frac{2}{3}-\frac{\mathrm{csch}\left(d x +c \right)^{2}}{3}\right) \coth \left(d x +c \right)+3 a \,b^{2} \left(d x +c \right)+b^{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)}{d}"," ",0,"1/d*(a^3*(16/35-1/7*csch(d*x+c)^6+6/35*csch(d*x+c)^4-8/35*csch(d*x+c)^2)*coth(d*x+c)+3*a^2*b*(2/3-1/3*csch(d*x+c)^2)*coth(d*x+c)+3*a*b^2*(d*x+c)+b^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))","A"
223,1,130,128,0.134000," ","int(csch(d*x+c)^10*(a+b*sinh(d*x+c)^4)^3,x)","\frac{a^{3} \left(-\frac{128}{315}-\frac{\mathrm{csch}\left(d x +c \right)^{8}}{9}+\frac{8 \mathrm{csch}\left(d x +c \right)^{6}}{63}-\frac{16 \mathrm{csch}\left(d x +c \right)^{4}}{105}+\frac{64 \mathrm{csch}\left(d x +c \right)^{2}}{315}\right) \coth \left(d x +c \right)+3 a^{2} b \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)-3 a \,b^{2} \coth \left(d x +c \right)+b^{3} \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^3*(-128/315-1/9*csch(d*x+c)^8+8/63*csch(d*x+c)^6-16/105*csch(d*x+c)^4+64/315*csch(d*x+c)^2)*coth(d*x+c)+3*a^2*b*(-8/15-1/5*csch(d*x+c)^4+4/15*csch(d*x+c)^2)*coth(d*x+c)-3*a*b^2*coth(d*x+c)+b^3*(1/2*cosh(d*x+c)*sinh(d*x+c)-1/2*d*x-1/2*c))","A"
224,1,145,137,0.134000," ","int(csch(d*x+c)^12*(a+b*sinh(d*x+c)^4)^3,x)","\frac{a^{3} \left(\frac{256}{693}-\frac{\mathrm{csch}\left(d x +c \right)^{10}}{11}+\frac{10 \mathrm{csch}\left(d x +c \right)^{8}}{99}-\frac{80 \mathrm{csch}\left(d x +c \right)^{6}}{693}+\frac{32 \mathrm{csch}\left(d x +c \right)^{4}}{231}-\frac{128 \mathrm{csch}\left(d x +c \right)^{2}}{693}\right) \coth \left(d x +c \right)+3 a^{2} b \left(\frac{16}{35}-\frac{\mathrm{csch}\left(d x +c \right)^{6}}{7}+\frac{6 \mathrm{csch}\left(d x +c \right)^{4}}{35}-\frac{8 \mathrm{csch}\left(d x +c \right)^{2}}{35}\right) \coth \left(d x +c \right)+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(d x +c \right)}{d}"," ",0,"1/d*(a^3*(256/693-1/11*csch(d*x+c)^10+10/99*csch(d*x+c)^8-80/693*csch(d*x+c)^6+32/231*csch(d*x+c)^4-128/693*csch(d*x+c)^2)*coth(d*x+c)+3*a^2*b*(16/35-1/7*csch(d*x+c)^6+6/35*csch(d*x+c)^4-8/35*csch(d*x+c)^2)*coth(d*x+c)+3*a*b^2*(2/3-1/3*csch(d*x+c)^2)*coth(d*x+c)+b^3*(d*x+c))","A"
225,1,177,134,0.133000," ","int(csch(d*x+c)^14*(a+b*sinh(d*x+c)^4)^3,x)","\frac{a^{3} \left(-\frac{1024}{3003}-\frac{\mathrm{csch}\left(d x +c \right)^{12}}{13}+\frac{12 \mathrm{csch}\left(d x +c \right)^{10}}{143}-\frac{40 \mathrm{csch}\left(d x +c \right)^{8}}{429}+\frac{320 \mathrm{csch}\left(d x +c \right)^{6}}{3003}-\frac{128 \mathrm{csch}\left(d x +c \right)^{4}}{1001}+\frac{512 \mathrm{csch}\left(d x +c \right)^{2}}{3003}\right) \coth \left(d x +c \right)+3 a^{2} b \left(-\frac{128}{315}-\frac{\mathrm{csch}\left(d x +c \right)^{8}}{9}+\frac{8 \mathrm{csch}\left(d x +c \right)^{6}}{63}-\frac{16 \mathrm{csch}\left(d x +c \right)^{4}}{105}+\frac{64 \mathrm{csch}\left(d x +c \right)^{2}}{315}\right) \coth \left(d x +c \right)+3 a \,b^{2} \left(-\frac{8}{15}-\frac{\mathrm{csch}\left(d x +c \right)^{4}}{5}+\frac{4 \mathrm{csch}\left(d x +c \right)^{2}}{15}\right) \coth \left(d x +c \right)-b^{3} \coth \left(d x +c \right)}{d}"," ",0,"1/d*(a^3*(-1024/3003-1/13*csch(d*x+c)^12+12/143*csch(d*x+c)^10-40/429*csch(d*x+c)^8+320/3003*csch(d*x+c)^6-128/1001*csch(d*x+c)^4+512/3003*csch(d*x+c)^2)*coth(d*x+c)+3*a^2*b*(-128/315-1/9*csch(d*x+c)^8+8/63*csch(d*x+c)^6-16/105*csch(d*x+c)^4+64/315*csch(d*x+c)^2)*coth(d*x+c)+3*a*b^2*(-8/15-1/5*csch(d*x+c)^4+4/15*csch(d*x+c)^2)*coth(d*x+c)-b^3*coth(d*x+c))","A"
226,1,218,168,0.135000," ","int(csch(d*x+c)^16*(a+b*sinh(d*x+c)^4)^3,x)","\frac{a^{3} \left(\frac{2048}{6435}-\frac{\mathrm{csch}\left(d x +c \right)^{14}}{15}+\frac{14 \mathrm{csch}\left(d x +c \right)^{12}}{195}-\frac{56 \mathrm{csch}\left(d x +c \right)^{10}}{715}+\frac{112 \mathrm{csch}\left(d x +c \right)^{8}}{1287}-\frac{128 \mathrm{csch}\left(d x +c \right)^{6}}{1287}+\frac{256 \mathrm{csch}\left(d x +c \right)^{4}}{2145}-\frac{1024 \mathrm{csch}\left(d x +c \right)^{2}}{6435}\right) \coth \left(d x +c \right)+3 a^{2} b \left(\frac{256}{693}-\frac{\mathrm{csch}\left(d x +c \right)^{10}}{11}+\frac{10 \mathrm{csch}\left(d x +c \right)^{8}}{99}-\frac{80 \mathrm{csch}\left(d x +c \right)^{6}}{693}+\frac{32 \mathrm{csch}\left(d x +c \right)^{4}}{231}-\frac{128 \mathrm{csch}\left(d x +c \right)^{2}}{693}\right) \coth \left(d x +c \right)+3 a \,b^{2} \left(\frac{16}{35}-\frac{\mathrm{csch}\left(d x +c \right)^{6}}{7}+\frac{6 \mathrm{csch}\left(d x +c \right)^{4}}{35}-\frac{8 \mathrm{csch}\left(d x +c \right)^{2}}{35}\right) \coth \left(d x +c \right)+b^{3} \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^3*(2048/6435-1/15*csch(d*x+c)^14+14/195*csch(d*x+c)^12-56/715*csch(d*x+c)^10+112/1287*csch(d*x+c)^8-128/1287*csch(d*x+c)^6+256/2145*csch(d*x+c)^4-1024/6435*csch(d*x+c)^2)*coth(d*x+c)+3*a^2*b*(256/693-1/11*csch(d*x+c)^10+10/99*csch(d*x+c)^8-80/693*csch(d*x+c)^6+32/231*csch(d*x+c)^4-128/693*csch(d*x+c)^2)*coth(d*x+c)+3*a*b^2*(16/35-1/7*csch(d*x+c)^6+6/35*csch(d*x+c)^4-8/35*csch(d*x+c)^2)*coth(d*x+c)+b^3*(2/3-1/3*csch(d*x+c)^2)*coth(d*x+c))","A"
227,1,258,205,0.143000," ","int(csch(d*x+c)^18*(a+b*sinh(d*x+c)^4)^3,x)","\frac{a^{3} \left(-\frac{32768}{109395}-\frac{\mathrm{csch}\left(d x +c \right)^{16}}{17}+\frac{16 \mathrm{csch}\left(d x +c \right)^{14}}{255}-\frac{224 \mathrm{csch}\left(d x +c \right)^{12}}{3315}+\frac{896 \mathrm{csch}\left(d x +c \right)^{10}}{12155}-\frac{1792 \mathrm{csch}\left(d x +c \right)^{8}}{21879}+\frac{2048 \mathrm{csch}\left(d x +c \right)^{6}}{21879}-\frac{4096 \mathrm{csch}\left(d x +c \right)^{4}}{36465}+\frac{16384 \mathrm{csch}\left(d x +c \right)^{2}}{109395}\right) \coth \left(d x +c \right)+3 a^{2} b \left(-\frac{1024}{3003}-\frac{\mathrm{csch}\left(d x +c \right)^{12}}{13}+\frac{12 \mathrm{csch}\left(d x +c \right)^{10}}{143}-\frac{40 \mathrm{csch}\left(d x +c \right)^{8}}{429}+\frac{320 \mathrm{csch}\left(d x +c \right)^{6}}{3003}-\frac{128 \mathrm{csch}\left(d x +c \right)^{4}}{1001}+\frac{512 \mathrm{csch}\left(d x +c \right)^{2}}{3003}\right) \coth \left(d x +c \right)+3 a \,b^{2} \left(-\frac{128}{315}-\frac{\mathrm{csch}\left(d x +c \right)^{8}}{9}+\frac{8 \mathrm{csch}\left(d x +c \right)^{6}}{63}-\frac{16 \mathrm{csch}\left(d x +c \right)^{4}}{105}+\frac{64 \mathrm{csch}\left(d x +c \right)^{2}}{315}\right) \coth \left(d x +c \right)+b^{3} \left(-\frac{8}{15}-\frac{\mathrm{csch}\left(d x +c \right)^{4}}{5}+\frac{4 \mathrm{csch}\left(d x +c \right)^{2}}{15}\right) \coth \left(d x +c \right)}{d}"," ",0,"1/d*(a^3*(-32768/109395-1/17*csch(d*x+c)^16+16/255*csch(d*x+c)^14-224/3315*csch(d*x+c)^12+896/12155*csch(d*x+c)^10-1792/21879*csch(d*x+c)^8+2048/21879*csch(d*x+c)^6-4096/36465*csch(d*x+c)^4+16384/109395*csch(d*x+c)^2)*coth(d*x+c)+3*a^2*b*(-1024/3003-1/13*csch(d*x+c)^12+12/143*csch(d*x+c)^10-40/429*csch(d*x+c)^8+320/3003*csch(d*x+c)^6-128/1001*csch(d*x+c)^4+512/3003*csch(d*x+c)^2)*coth(d*x+c)+3*a*b^2*(-128/315-1/9*csch(d*x+c)^8+8/63*csch(d*x+c)^6-16/105*csch(d*x+c)^4+64/315*csch(d*x+c)^2)*coth(d*x+c)+b^3*(-8/15-1/5*csch(d*x+c)^4+4/15*csch(d*x+c)^2)*coth(d*x+c))","A"
228,1,298,232,0.141000," ","int(csch(d*x+c)^20*(a+b*sinh(d*x+c)^4)^3,x)","\frac{a^{3} \left(\frac{65536}{230945}-\frac{\mathrm{csch}\left(d x +c \right)^{18}}{19}+\frac{18 \mathrm{csch}\left(d x +c \right)^{16}}{323}-\frac{96 \mathrm{csch}\left(d x +c \right)^{14}}{1615}+\frac{1344 \mathrm{csch}\left(d x +c \right)^{12}}{20995}-\frac{16128 \mathrm{csch}\left(d x +c \right)^{10}}{230945}+\frac{3584 \mathrm{csch}\left(d x +c \right)^{8}}{46189}-\frac{4096 \mathrm{csch}\left(d x +c \right)^{6}}{46189}+\frac{24576 \mathrm{csch}\left(d x +c \right)^{4}}{230945}-\frac{32768 \mathrm{csch}\left(d x +c \right)^{2}}{230945}\right) \coth \left(d x +c \right)+3 a^{2} b \left(\frac{2048}{6435}-\frac{\mathrm{csch}\left(d x +c \right)^{14}}{15}+\frac{14 \mathrm{csch}\left(d x +c \right)^{12}}{195}-\frac{56 \mathrm{csch}\left(d x +c \right)^{10}}{715}+\frac{112 \mathrm{csch}\left(d x +c \right)^{8}}{1287}-\frac{128 \mathrm{csch}\left(d x +c \right)^{6}}{1287}+\frac{256 \mathrm{csch}\left(d x +c \right)^{4}}{2145}-\frac{1024 \mathrm{csch}\left(d x +c \right)^{2}}{6435}\right) \coth \left(d x +c \right)+3 a \,b^{2} \left(\frac{256}{693}-\frac{\mathrm{csch}\left(d x +c \right)^{10}}{11}+\frac{10 \mathrm{csch}\left(d x +c \right)^{8}}{99}-\frac{80 \mathrm{csch}\left(d x +c \right)^{6}}{693}+\frac{32 \mathrm{csch}\left(d x +c \right)^{4}}{231}-\frac{128 \mathrm{csch}\left(d x +c \right)^{2}}{693}\right) \coth \left(d x +c \right)+b^{3} \left(\frac{16}{35}-\frac{\mathrm{csch}\left(d x +c \right)^{6}}{7}+\frac{6 \mathrm{csch}\left(d x +c \right)^{4}}{35}-\frac{8 \mathrm{csch}\left(d x +c \right)^{2}}{35}\right) \coth \left(d x +c \right)}{d}"," ",0,"1/d*(a^3*(65536/230945-1/19*csch(d*x+c)^18+18/323*csch(d*x+c)^16-96/1615*csch(d*x+c)^14+1344/20995*csch(d*x+c)^12-16128/230945*csch(d*x+c)^10+3584/46189*csch(d*x+c)^8-4096/46189*csch(d*x+c)^6+24576/230945*csch(d*x+c)^4-32768/230945*csch(d*x+c)^2)*coth(d*x+c)+3*a^2*b*(2048/6435-1/15*csch(d*x+c)^14+14/195*csch(d*x+c)^12-56/715*csch(d*x+c)^10+112/1287*csch(d*x+c)^8-128/1287*csch(d*x+c)^6+256/2145*csch(d*x+c)^4-1024/6435*csch(d*x+c)^2)*coth(d*x+c)+3*a*b^2*(256/693-1/11*csch(d*x+c)^10+10/99*csch(d*x+c)^8-80/693*csch(d*x+c)^6+32/231*csch(d*x+c)^4-128/693*csch(d*x+c)^2)*coth(d*x+c)+b^3*(16/35-1/7*csch(d*x+c)^6+6/35*csch(d*x+c)^4-8/35*csch(d*x+c)^2)*coth(d*x+c))","A"
229,1,270,110,0.127000," ","int(sinh(d*x+c)^7/(a-b*sinh(d*x+c)^4),x)","-\frac{a \sqrt{a b}\, \arctan \left(\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \sqrt{a b}-2 a}{4 \sqrt{-a b +\sqrt{a b}\, a}}\right)}{2 d \,b^{2} \sqrt{-a b +\sqrt{a b}\, a}}-\frac{a \sqrt{a b}\, \arctan \left(\frac{-2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \sqrt{a b}+2 a}{4 \sqrt{-a b -\sqrt{a b}\, a}}\right)}{2 d \,b^{2} \sqrt{-a b -\sqrt{a b}\, a}}+\frac{1}{3 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{3}}+\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}-\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}-\frac{1}{3 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}+\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}"," ",0,"-1/2/d*a/b^2*(a*b)^(1/2)/(-a*b+(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)-2*a)/(-a*b+(a*b)^(1/2)*a)^(1/2))-1/2/d*a/b^2*(a*b)^(1/2)/(-a*b-(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(-2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)+2*a)/(-a*b-(a*b)^(1/2)*a)^(1/2))+1/3/d/b/(tanh(1/2*d*x+1/2*c)-1)^3+1/2/d/b/(tanh(1/2*d*x+1/2*c)-1)^2-1/2/d/b/(tanh(1/2*d*x+1/2*c)-1)-1/3/d/b/(tanh(1/2*d*x+1/2*c)+1)^3+1/2/d/b/(tanh(1/2*d*x+1/2*c)+1)^2+1/2/d/b/(tanh(1/2*d*x+1/2*c)+1)","B"
230,1,175,99,0.090000," ","int(sinh(d*x+c)^5/(a-b*sinh(d*x+c)^4),x)","\frac{a \arctan \left(\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \sqrt{a b}-2 a}{4 \sqrt{-a b +\sqrt{a b}\, a}}\right)}{2 d b \sqrt{-a b +\sqrt{a b}\, a}}-\frac{a \arctan \left(\frac{-2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \sqrt{a b}+2 a}{4 \sqrt{-a b -\sqrt{a b}\, a}}\right)}{2 d b \sqrt{-a b -\sqrt{a b}\, a}}-\frac{1}{d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}+\frac{1}{d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}"," ",0,"1/2/d*a/b/(-a*b+(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)-2*a)/(-a*b+(a*b)^(1/2)*a)^(1/2))-1/2/d*a/b/(-a*b-(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(-2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)+2*a)/(-a*b-(a*b)^(1/2)*a)^(1/2))-1/d/b/(tanh(1/2*d*x+1/2*c)+1)+1/d/b/(tanh(1/2*d*x+1/2*c)-1)","A"
231,1,142,79,0.063000," ","int(sinh(d*x+c)^3/(a-b*sinh(d*x+c)^4),x)","-\frac{\sqrt{a b}\, \arctan \left(\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \sqrt{a b}-2 a}{4 \sqrt{-a b +\sqrt{a b}\, a}}\right)}{2 d b \sqrt{-a b +\sqrt{a b}\, a}}-\frac{\sqrt{a b}\, \arctan \left(\frac{-2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \sqrt{a b}+2 a}{4 \sqrt{-a b -\sqrt{a b}\, a}}\right)}{2 d b \sqrt{-a b -\sqrt{a b}\, a}}"," ",0,"-1/2/d*(a*b)^(1/2)/b/(-a*b+(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)-2*a)/(-a*b+(a*b)^(1/2)*a)^(1/2))-1/2/d*(a*b)^(1/2)/b/(-a*b-(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(-2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)+2*a)/(-a*b-(a*b)^(1/2)*a)^(1/2))","A"
232,1,126,85,0.095000," ","int(sinh(d*x+c)/(a-b*sinh(d*x+c)^4),x)","\frac{\arctan \left(\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \sqrt{a b}-2 a}{4 \sqrt{-a b +\sqrt{a b}\, a}}\right)}{2 d \sqrt{-a b +\sqrt{a b}\, a}}-\frac{\arctan \left(\frac{-2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \sqrt{a b}+2 a}{4 \sqrt{-a b -\sqrt{a b}\, a}}\right)}{2 d \sqrt{-a b -\sqrt{a b}\, a}}"," ",0,"1/2/d/(-a*b+(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)-2*a)/(-a*b+(a*b)^(1/2)*a)^(1/2))-1/2/d/(-a*b-(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(-2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)+2*a)/(-a*b-(a*b)^(1/2)*a)^(1/2))","A"
233,1,159,100,0.124000," ","int(csch(d*x+c)/(a-b*sinh(d*x+c)^4),x)","-\frac{\sqrt{a b}\, \arctan \left(\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \sqrt{a b}-2 a}{4 \sqrt{-a b +\sqrt{a b}\, a}}\right)}{2 d a \sqrt{-a b +\sqrt{a b}\, a}}-\frac{\sqrt{a b}\, \arctan \left(\frac{-2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \sqrt{a b}+2 a}{4 \sqrt{-a b -\sqrt{a b}\, a}}\right)}{2 d a \sqrt{-a b -\sqrt{a b}\, a}}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d a}"," ",0,"-1/2/d*(a*b)^(1/2)/a/(-a*b+(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)-2*a)/(-a*b+(a*b)^(1/2)*a)^(1/2))-1/2/d*(a*b)^(1/2)/a/(-a*b-(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(-2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)+2*a)/(-a*b-(a*b)^(1/2)*a)^(1/2))+1/d/a*ln(tanh(1/2*d*x+1/2*c))","A"
234,1,190,138,0.142000," ","int(csch(d*x+c)^3/(a-b*sinh(d*x+c)^4),x)","\frac{\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)}{8 d a}+\frac{b \arctan \left(\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \sqrt{a b}-2 a}{4 \sqrt{-a b +\sqrt{a b}\, a}}\right)}{2 d a \sqrt{-a b +\sqrt{a b}\, a}}-\frac{b \arctan \left(\frac{-2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \sqrt{a b}+2 a}{4 \sqrt{-a b -\sqrt{a b}\, a}}\right)}{2 d a \sqrt{-a b -\sqrt{a b}\, a}}-\frac{1}{8 d a \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)}{2 d a}"," ",0,"1/8/d/a*tanh(1/2*d*x+1/2*c)^2+1/2/d*b/a/(-a*b+(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)-2*a)/(-a*b+(a*b)^(1/2)*a)^(1/2))-1/2/d*b/a/(-a*b-(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(-2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)+2*a)/(-a*b-(a*b)^(1/2)*a)^(1/2))-1/8/d/a/tanh(1/2*d*x+1/2*c)^2-1/2/d/a*ln(tanh(1/2*d*x+1/2*c))","A"
235,1,223,129,0.092000," ","int(sinh(d*x+c)^6/(a-b*sinh(d*x+c)^4),x)","-\frac{a \left(\munderset{\textit{\_R} =\RootOf \left(a \,\textit{\_Z}^{8}-4 a \,\textit{\_Z}^{6}+\left(6 a -16 b \right) \textit{\_Z}^{4}-4 a \,\textit{\_Z}^{2}+a \right)}{\sum}\frac{\left(\textit{\_R}^{4}-\textit{\_R}^{2}\right) \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\textit{\_R} \right)}{\textit{\_R}^{7} a -3 \textit{\_R}^{5} a +3 \textit{\_R}^{3} a -8 \textit{\_R}^{3} b -\textit{\_R} a}\right)}{d b}-\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}-\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{2 d b}+\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{2 d b}"," ",0,"-1/d*a/b*sum((_R^4-_R^2)/(_R^7*a-3*_R^5*a+3*_R^3*a-8*_R^3*b-_R*a)*ln(tanh(1/2*d*x+1/2*c)-_R),_R=RootOf(a*_Z^8-4*a*_Z^6+(6*a-16*b)*_Z^4-4*a*_Z^2+a))-1/2/d/b/(tanh(1/2*d*x+1/2*c)-1)^2-1/2/d/b/(tanh(1/2*d*x+1/2*c)-1)-1/2/d/b*ln(tanh(1/2*d*x+1/2*c)-1)+1/2/d/b/(tanh(1/2*d*x+1/2*c)+1)^2-1/2/d/b/(tanh(1/2*d*x+1/2*c)+1)+1/2/d/b*ln(tanh(1/2*d*x+1/2*c)+1)","C"
236,1,144,91,0.068000," ","int(sinh(d*x+c)^4/(a-b*sinh(d*x+c)^4),x)","-\frac{a \left(\munderset{\textit{\_R} =\RootOf \left(a \,\textit{\_Z}^{8}-4 a \,\textit{\_Z}^{6}+\left(6 a -16 b \right) \textit{\_Z}^{4}-4 a \,\textit{\_Z}^{2}+a \right)}{\sum}\frac{\left(\textit{\_R}^{6}-3 \textit{\_R}^{4}+3 \textit{\_R}^{2}-1\right) \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\textit{\_R} \right)}{\textit{\_R}^{7} a -3 \textit{\_R}^{5} a +3 \textit{\_R}^{3} a -8 \textit{\_R}^{3} b -\textit{\_R} a}\right)}{4 d b}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d b}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d b}"," ",0,"-1/4/d*a/b*sum((_R^6-3*_R^4+3*_R^2-1)/(_R^7*a-3*_R^5*a+3*_R^3*a-8*_R^3*b-_R*a)*ln(tanh(1/2*d*x+1/2*c)-_R),_R=RootOf(a*_Z^8-4*a*_Z^6+(6*a-16*b)*_Z^4-4*a*_Z^2+a))+1/d/b*ln(tanh(1/2*d*x+1/2*c)-1)-1/d/b*ln(tanh(1/2*d*x+1/2*c)+1)","C"
237,1,94,85,0.076000," ","int(sinh(d*x+c)^2/(a-b*sinh(d*x+c)^4),x)","-\frac{\munderset{\textit{\_R} =\RootOf \left(a \,\textit{\_Z}^{8}-4 a \,\textit{\_Z}^{6}+\left(6 a -16 b \right) \textit{\_Z}^{4}-4 a \,\textit{\_Z}^{2}+a \right)}{\sum}\frac{\left(\textit{\_R}^{4}-\textit{\_R}^{2}\right) \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\textit{\_R} \right)}{\textit{\_R}^{7} a -3 \textit{\_R}^{5} a +3 \textit{\_R}^{3} a -8 \textit{\_R}^{3} b -\textit{\_R} a}}{d}"," ",0,"-1/d*sum((_R^4-_R^2)/(_R^7*a-3*_R^5*a+3*_R^3*a-8*_R^3*b-_R*a)*ln(tanh(1/2*d*x+1/2*c)-_R),_R=RootOf(a*_Z^8-4*a*_Z^6+(6*a-16*b)*_Z^4-4*a*_Z^2+a))","C"
238,1,102,79,0.081000," ","int(1/(a-b*sinh(d*x+c)^4),x)","\frac{\munderset{\textit{\_R} =\RootOf \left(a \,\textit{\_Z}^{8}-4 a \,\textit{\_Z}^{6}+\left(6 a -16 b \right) \textit{\_Z}^{4}-4 a \,\textit{\_Z}^{2}+a \right)}{\sum}\frac{\left(-\textit{\_R}^{6}+3 \textit{\_R}^{4}-3 \textit{\_R}^{2}+1\right) \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\textit{\_R} \right)}{\textit{\_R}^{7} a -3 \textit{\_R}^{5} a +3 \textit{\_R}^{3} a -8 \textit{\_R}^{3} b -\textit{\_R} a}}{4 d}"," ",0,"1/4/d*sum((-_R^6+3*_R^4-3*_R^2+1)/(_R^7*a-3*_R^5*a+3*_R^3*a-8*_R^3*b-_R*a)*ln(tanh(1/2*d*x+1/2*c)-_R),_R=RootOf(a*_Z^8-4*a*_Z^6+(6*a-16*b)*_Z^4-4*a*_Z^2+a))","C"
239,1,135,99,0.125000," ","int(csch(d*x+c)^2/(a-b*sinh(d*x+c)^4),x)","-\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{2 d a}-\frac{b \left(\munderset{\textit{\_R} =\RootOf \left(a \,\textit{\_Z}^{8}-4 a \,\textit{\_Z}^{6}+\left(6 a -16 b \right) \textit{\_Z}^{4}-4 a \,\textit{\_Z}^{2}+a \right)}{\sum}\frac{\left(\textit{\_R}^{4}-\textit{\_R}^{2}\right) \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\textit{\_R} \right)}{\textit{\_R}^{7} a -3 \textit{\_R}^{5} a +3 \textit{\_R}^{3} a -8 \textit{\_R}^{3} b -\textit{\_R} a}\right)}{d a}-\frac{1}{2 d a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}"," ",0,"-1/2/d/a*tanh(1/2*d*x+1/2*c)-1/d/a*b*sum((_R^4-_R^2)/(_R^7*a-3*_R^5*a+3*_R^3*a-8*_R^3*b-_R*a)*ln(tanh(1/2*d*x+1/2*c)-_R),_R=RootOf(a*_Z^8-4*a*_Z^6+(6*a-16*b)*_Z^4-4*a*_Z^2+a))-1/2/d/a/tanh(1/2*d*x+1/2*c)","C"
240,1,179,110,0.156000," ","int(csch(d*x+c)^4/(a-b*sinh(d*x+c)^4),x)","-\frac{\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)}{24 d a}+\frac{3 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{8 d a}-\frac{b \left(\munderset{\textit{\_R} =\RootOf \left(a \,\textit{\_Z}^{8}-4 a \,\textit{\_Z}^{6}+\left(6 a -16 b \right) \textit{\_Z}^{4}-4 a \,\textit{\_Z}^{2}+a \right)}{\sum}\frac{\left(\textit{\_R}^{6}-3 \textit{\_R}^{4}+3 \textit{\_R}^{2}-1\right) \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\textit{\_R} \right)}{\textit{\_R}^{7} a -3 \textit{\_R}^{5} a +3 \textit{\_R}^{3} a -8 \textit{\_R}^{3} b -\textit{\_R} a}\right)}{4 d a}-\frac{1}{24 d a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)^{3}}+\frac{3}{8 d a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}"," ",0,"-1/24/d/a*tanh(1/2*d*x+1/2*c)^3+3/8/d/a*tanh(1/2*d*x+1/2*c)-1/4/d/a*b*sum((_R^6-3*_R^4+3*_R^2-1)/(_R^7*a-3*_R^5*a+3*_R^3*a-8*_R^3*b-_R*a)*ln(tanh(1/2*d*x+1/2*c)-_R),_R=RootOf(a*_Z^8-4*a*_Z^6+(6*a-16*b)*_Z^4-4*a*_Z^2+a))-1/24/d/a/tanh(1/2*d*x+1/2*c)^3+3/8/d/a/tanh(1/2*d*x+1/2*c)","C"
241,1,1191,185,0.129000," ","int(sinh(d*x+c)^9/(a-b*sinh(d*x+c)^4)^2,x)","-\frac{a^{2} \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{2 d \,b^{2} \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) \left(a -b \right)}+\frac{a \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d b \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) \left(a -b \right)}+\frac{3 a^{2} \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{2 d \,b^{2} \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) \left(a -b \right)}-\frac{4 a \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d b \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) \left(a -b \right)}-\frac{3 a^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{2 d \,b^{2} \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) \left(a -b \right)}-\frac{a \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d b \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) \left(a -b \right)}+\frac{a^{2}}{2 d \,b^{2} \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) \left(a -b \right)}+\frac{a \arctan \left(\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \sqrt{a b}-2 a}{4 \sqrt{-a b +\sqrt{a b}\, a}}\right) \sqrt{a b}}{8 d \,b^{2} \left(a -b \right) \sqrt{-a b +\sqrt{a b}\, a}}-\frac{5 a^{2} \arctan \left(\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \sqrt{a b}-2 a}{4 \sqrt{-a b +\sqrt{a b}\, a}}\right)}{8 d \,b^{2} \left(a -b \right) \sqrt{-a b +\sqrt{a b}\, a}}+\frac{3 a \arctan \left(\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \sqrt{a b}-2 a}{4 \sqrt{-a b +\sqrt{a b}\, a}}\right)}{4 d b \left(a -b \right) \sqrt{-a b +\sqrt{a b}\, a}}+\frac{a \arctan \left(\frac{-2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \sqrt{a b}+2 a}{4 \sqrt{-a b -\sqrt{a b}\, a}}\right) \sqrt{a b}}{8 d \,b^{2} \left(a -b \right) \sqrt{-a b -\sqrt{a b}\, a}}+\frac{5 a^{2} \arctan \left(\frac{-2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \sqrt{a b}+2 a}{4 \sqrt{-a b -\sqrt{a b}\, a}}\right)}{8 d \,b^{2} \left(a -b \right) \sqrt{-a b -\sqrt{a b}\, a}}-\frac{3 a \arctan \left(\frac{-2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \sqrt{a b}+2 a}{4 \sqrt{-a b -\sqrt{a b}\, a}}\right)}{4 d b \left(a -b \right) \sqrt{-a b -\sqrt{a b}\, a}}-\frac{1}{d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}+\frac{1}{d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}"," ",0,"-1/2/d*a^2/b^2/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/(a-b)*tanh(1/2*d*x+1/2*c)^6+1/d*a/b/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/(a-b)*tanh(1/2*d*x+1/2*c)^6+3/2/d*a^2/b^2/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/(a-b)*tanh(1/2*d*x+1/2*c)^4-4/d*a/b/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/(a-b)*tanh(1/2*d*x+1/2*c)^4-3/2/d*a^2/b^2/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/(a-b)*tanh(1/2*d*x+1/2*c)^2-1/d*a/b/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/(a-b)*tanh(1/2*d*x+1/2*c)^2+1/2/d*a^2/b^2/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/(a-b)+1/8/d*a/b^2/(a-b)/(-a*b+(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)-2*a)/(-a*b+(a*b)^(1/2)*a)^(1/2))*(a*b)^(1/2)-5/8/d*a^2/b^2/(a-b)/(-a*b+(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)-2*a)/(-a*b+(a*b)^(1/2)*a)^(1/2))+3/4/d*a/b/(a-b)/(-a*b+(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)-2*a)/(-a*b+(a*b)^(1/2)*a)^(1/2))+1/8/d*a/b^2/(a-b)/(-a*b-(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(-2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)+2*a)/(-a*b-(a*b)^(1/2)*a)^(1/2))*(a*b)^(1/2)+5/8/d*a^2/b^2/(a-b)/(-a*b-(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(-2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)+2*a)/(-a*b-(a*b)^(1/2)*a)^(1/2))-3/4/d*a/b/(a-b)/(-a*b-(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(-2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)+2*a)/(-a*b-(a*b)^(1/2)*a)^(1/2))-1/d/b^2/(tanh(1/2*d*x+1/2*c)-1)+1/d/b^2/(tanh(1/2*d*x+1/2*c)+1)","B"
242,1,1200,164,0.266000," ","int(sinh(d*x+c)^7/(a-b*sinh(d*x+c)^4)^2,x)","-\frac{\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) \sqrt{a b}}{4 d \,b^{2} \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)-\frac{4 \sqrt{a b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{a}-2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+1\right) \left(a -b \right)}+\frac{\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) \sqrt{a b}}{2 a d b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)-\frac{4 \sqrt{a b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{a}-2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+1\right) \left(a -b \right)}-\frac{\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)}{4 d b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)-\frac{4 \sqrt{a b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{a}-2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+1\right) \left(a -b \right)}-\frac{1}{4 d b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)-\frac{4 \sqrt{a b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{a}-2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+1\right) \left(a -b \right)}+\frac{\sqrt{a b}}{4 d \,b^{2} \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)-\frac{4 \sqrt{a b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{a}-2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+1\right) \left(a -b \right)}+\frac{3 a \arctan \left(\frac{-2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \sqrt{a b}+2 a}{4 \sqrt{-a b -\sqrt{a b}\, a}}\right) \sqrt{a b}}{8 d \,b^{2} \left(a -b \right) \sqrt{-a b -\sqrt{a b}\, a}}-\frac{\arctan \left(\frac{-2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \sqrt{a b}+2 a}{4 \sqrt{-a b -\sqrt{a b}\, a}}\right) \sqrt{a b}}{2 d b \left(a -b \right) \sqrt{-a b -\sqrt{a b}\, a}}+\frac{a \arctan \left(\frac{-2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \sqrt{a b}+2 a}{4 \sqrt{-a b -\sqrt{a b}\, a}}\right)}{8 d b \left(a -b \right) \sqrt{-a b -\sqrt{a b}\, a}}+\frac{\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) \sqrt{a b}}{4 d \,b^{2} \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)-2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+\frac{4 \sqrt{a b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{a}+1\right) \left(a -b \right)}-\frac{\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) \sqrt{a b}}{2 a d b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)-2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+\frac{4 \sqrt{a b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{a}+1\right) \left(a -b \right)}-\frac{\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)}{4 d b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)-2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+\frac{4 \sqrt{a b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{a}+1\right) \left(a -b \right)}-\frac{\sqrt{a b}}{4 d \,b^{2} \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)-2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+\frac{4 \sqrt{a b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{a}+1\right) \left(a -b \right)}-\frac{1}{4 d b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)-2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+\frac{4 \sqrt{a b}\, \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{a}+1\right) \left(a -b \right)}+\frac{3 a \arctan \left(\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \sqrt{a b}-2 a}{4 \sqrt{-a b +\sqrt{a b}\, a}}\right) \sqrt{a b}}{8 d \,b^{2} \left(a -b \right) \sqrt{-a b +\sqrt{a b}\, a}}-\frac{\arctan \left(\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \sqrt{a b}-2 a}{4 \sqrt{-a b +\sqrt{a b}\, a}}\right) \sqrt{a b}}{2 d b \left(a -b \right) \sqrt{-a b +\sqrt{a b}\, a}}-\frac{a \arctan \left(\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \sqrt{a b}-2 a}{4 \sqrt{-a b +\sqrt{a b}\, a}}\right)}{8 d b \left(a -b \right) \sqrt{-a b +\sqrt{a b}\, a}}"," ",0,"-1/4/d/b^2/(tanh(1/2*d*x+1/2*c)^4-4*(a*b)^(1/2)/a*tanh(1/2*d*x+1/2*c)^2-2*tanh(1/2*d*x+1/2*c)^2+1)/(a-b)*tanh(1/2*d*x+1/2*c)^2*(a*b)^(1/2)+1/2/a/d/b/(tanh(1/2*d*x+1/2*c)^4-4*(a*b)^(1/2)/a*tanh(1/2*d*x+1/2*c)^2-2*tanh(1/2*d*x+1/2*c)^2+1)/(a-b)*tanh(1/2*d*x+1/2*c)^2*(a*b)^(1/2)-1/4/d/b/(tanh(1/2*d*x+1/2*c)^4-4*(a*b)^(1/2)/a*tanh(1/2*d*x+1/2*c)^2-2*tanh(1/2*d*x+1/2*c)^2+1)/(a-b)*tanh(1/2*d*x+1/2*c)^2-1/4/d/b/(tanh(1/2*d*x+1/2*c)^4-4*(a*b)^(1/2)/a*tanh(1/2*d*x+1/2*c)^2-2*tanh(1/2*d*x+1/2*c)^2+1)/(a-b)+1/4/d/b^2/(tanh(1/2*d*x+1/2*c)^4-4*(a*b)^(1/2)/a*tanh(1/2*d*x+1/2*c)^2-2*tanh(1/2*d*x+1/2*c)^2+1)/(a-b)*(a*b)^(1/2)+3/8/d*a/b^2/(a-b)/(-a*b-(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(-2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)+2*a)/(-a*b-(a*b)^(1/2)*a)^(1/2))*(a*b)^(1/2)-1/2/d/b/(a-b)/(-a*b-(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(-2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)+2*a)/(-a*b-(a*b)^(1/2)*a)^(1/2))*(a*b)^(1/2)+1/8/d*a/b/(a-b)/(-a*b-(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(-2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)+2*a)/(-a*b-(a*b)^(1/2)*a)^(1/2))+1/4/d/b^2/(tanh(1/2*d*x+1/2*c)^4-2*tanh(1/2*d*x+1/2*c)^2+4*(a*b)^(1/2)/a*tanh(1/2*d*x+1/2*c)^2+1)/(a-b)*tanh(1/2*d*x+1/2*c)^2*(a*b)^(1/2)-1/2/a/d/b/(tanh(1/2*d*x+1/2*c)^4-2*tanh(1/2*d*x+1/2*c)^2+4*(a*b)^(1/2)/a*tanh(1/2*d*x+1/2*c)^2+1)/(a-b)*tanh(1/2*d*x+1/2*c)^2*(a*b)^(1/2)-1/4/d/b/(tanh(1/2*d*x+1/2*c)^4-2*tanh(1/2*d*x+1/2*c)^2+4*(a*b)^(1/2)/a*tanh(1/2*d*x+1/2*c)^2+1)/(a-b)*tanh(1/2*d*x+1/2*c)^2-1/4/d/b^2/(tanh(1/2*d*x+1/2*c)^4-2*tanh(1/2*d*x+1/2*c)^2+4*(a*b)^(1/2)/a*tanh(1/2*d*x+1/2*c)^2+1)/(a-b)*(a*b)^(1/2)-1/4/d/b/(tanh(1/2*d*x+1/2*c)^4-2*tanh(1/2*d*x+1/2*c)^2+4*(a*b)^(1/2)/a*tanh(1/2*d*x+1/2*c)^2+1)/(a-b)+3/8/d*a/b^2/(a-b)/(-a*b+(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)-2*a)/(-a*b+(a*b)^(1/2)*a)^(1/2))*(a*b)^(1/2)-1/2/d/b/(a-b)/(-a*b+(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)-2*a)/(-a*b+(a*b)^(1/2)*a)^(1/2))*(a*b)^(1/2)-1/8/d*a/b/(a-b)/(-a*b+(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)-2*a)/(-a*b+(a*b)^(1/2)*a)^(1/2))","B"
243,1,1116,167,0.110000," ","int(sinh(d*x+c)^5/(a-b*sinh(d*x+c)^4)^2,x)","-\frac{a \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{2 d b \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) \left(a -b \right)}+\frac{\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)}{d \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) \left(a -b \right)}+\frac{3 a \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{2 d b \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) \left(a -b \right)}-\frac{4 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) \left(a -b \right)}-\frac{3 a \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{2 d b \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) \left(a -b \right)}-\frac{\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)}{d \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) \left(a -b \right)}+\frac{a}{2 d \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) b \left(a -b \right)}+\frac{\arctan \left(\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \sqrt{a b}-2 a}{4 \sqrt{-a b +\sqrt{a b}\, a}}\right) \sqrt{a b}}{8 d b \left(a -b \right) \sqrt{-a b +\sqrt{a b}\, a}}-\frac{a \arctan \left(\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \sqrt{a b}-2 a}{4 \sqrt{-a b +\sqrt{a b}\, a}}\right)}{8 d b \left(a -b \right) \sqrt{-a b +\sqrt{a b}\, a}}+\frac{\arctan \left(\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \sqrt{a b}-2 a}{4 \sqrt{-a b +\sqrt{a b}\, a}}\right)}{4 d \left(a -b \right) \sqrt{-a b +\sqrt{a b}\, a}}+\frac{\arctan \left(\frac{-2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \sqrt{a b}+2 a}{4 \sqrt{-a b -\sqrt{a b}\, a}}\right) \sqrt{a b}}{8 d b \left(a -b \right) \sqrt{-a b -\sqrt{a b}\, a}}+\frac{a \arctan \left(\frac{-2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \sqrt{a b}+2 a}{4 \sqrt{-a b -\sqrt{a b}\, a}}\right)}{8 d b \left(a -b \right) \sqrt{-a b -\sqrt{a b}\, a}}-\frac{\arctan \left(\frac{-2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \sqrt{a b}+2 a}{4 \sqrt{-a b -\sqrt{a b}\, a}}\right)}{4 d \left(a -b \right) \sqrt{-a b -\sqrt{a b}\, a}}"," ",0,"-1/2/d*a/b/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/(a-b)*tanh(1/2*d*x+1/2*c)^6+1/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/(a-b)*tanh(1/2*d*x+1/2*c)^6+3/2/d*a/b/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/(a-b)*tanh(1/2*d*x+1/2*c)^4-4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/(a-b)*tanh(1/2*d*x+1/2*c)^4-3/2/d*a/b/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/(a-b)*tanh(1/2*d*x+1/2*c)^2-1/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/(a-b)*tanh(1/2*d*x+1/2*c)^2+1/2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)*a/b/(a-b)+1/8/d/b/(a-b)/(-a*b+(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)-2*a)/(-a*b+(a*b)^(1/2)*a)^(1/2))*(a*b)^(1/2)-1/8/d*a/b/(a-b)/(-a*b+(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)-2*a)/(-a*b+(a*b)^(1/2)*a)^(1/2))+1/4/d/(a-b)/(-a*b+(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)-2*a)/(-a*b+(a*b)^(1/2)*a)^(1/2))+1/8/d/b/(a-b)/(-a*b-(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(-2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)+2*a)/(-a*b-(a*b)^(1/2)*a)^(1/2))*(a*b)^(1/2)+1/8/d*a/b/(a-b)/(-a*b-(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(-2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)+2*a)/(-a*b-(a*b)^(1/2)*a)^(1/2))-1/4/d/(a-b)/(-a*b-(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(-2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)+2*a)/(-a*b-(a*b)^(1/2)*a)^(1/2))","B"
244,1,767,144,0.098000," ","int(sinh(d*x+c)^3/(a-b*sinh(d*x+c)^4)^2,x)","-\frac{\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)}{2 d \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) \left(a -b \right)}-\frac{3 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{2 d \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) \left(a -b \right)}+\frac{4 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{d \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) a \left(a -b \right)}+\frac{5 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{2 d \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) \left(a -b \right)}-\frac{1}{2 d \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) \left(a -b \right)}-\frac{\arctan \left(\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \sqrt{a b}-2 a}{4 \sqrt{-a b +\sqrt{a b}\, a}}\right) \sqrt{a b}}{8 d b \left(a -b \right) \sqrt{-a b +\sqrt{a b}\, a}}-\frac{\arctan \left(\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \sqrt{a b}-2 a}{4 \sqrt{-a b +\sqrt{a b}\, a}}\right)}{8 d \left(a -b \right) \sqrt{-a b +\sqrt{a b}\, a}}+\frac{\arctan \left(\frac{-2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \sqrt{a b}+2 a}{4 \sqrt{-a b -\sqrt{a b}\, a}}\right)}{8 d \left(a -b \right) \sqrt{-a b -\sqrt{a b}\, a}}-\frac{\arctan \left(\frac{-2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \sqrt{a b}+2 a}{4 \sqrt{-a b -\sqrt{a b}\, a}}\right) \sqrt{a b}}{8 d b \left(a -b \right) \sqrt{-a b -\sqrt{a b}\, a}}"," ",0,"-1/2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/(a-b)*tanh(1/2*d*x+1/2*c)^6-3/2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/(a-b)*tanh(1/2*d*x+1/2*c)^4+4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/a/(a-b)*tanh(1/2*d*x+1/2*c)^4*b+5/2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/(a-b)*tanh(1/2*d*x+1/2*c)^2-1/2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/(a-b)-1/8/d/b/(a-b)/(-a*b+(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)-2*a)/(-a*b+(a*b)^(1/2)*a)^(1/2))*(a*b)^(1/2)-1/8/d/(a-b)/(-a*b+(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)-2*a)/(-a*b+(a*b)^(1/2)*a)^(1/2))+1/8/d/(a-b)/(-a*b-(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(-2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)+2*a)/(-a*b-(a*b)^(1/2)*a)^(1/2))-1/8/d/b/(a-b)/(-a*b-(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(-2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)+2*a)/(-a*b-(a*b)^(1/2)*a)^(1/2))*(a*b)^(1/2)","B"
245,1,1112,171,0.135000," ","int(sinh(d*x+c)/(a-b*sinh(d*x+c)^4)^2,x)","-\frac{\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)}{2 d \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) \left(a -b \right)}+\frac{\left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{d \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) \left(a -b \right) a}+\frac{3 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{2 d \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) \left(a -b \right)}-\frac{4 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{d \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) a \left(a -b \right)}-\frac{3 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{2 d \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) \left(a -b \right)}-\frac{\left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{d \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) a \left(a -b \right)}+\frac{1}{2 d \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) \left(a -b \right)}+\frac{\arctan \left(\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \sqrt{a b}-2 a}{4 \sqrt{-a b +\sqrt{a b}\, a}}\right) \sqrt{a b}}{8 d \left(a -b \right) a \sqrt{-a b +\sqrt{a b}\, a}}+\frac{3 \arctan \left(\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \sqrt{a b}-2 a}{4 \sqrt{-a b +\sqrt{a b}\, a}}\right)}{8 d \left(a -b \right) \sqrt{-a b +\sqrt{a b}\, a}}-\frac{\arctan \left(\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \sqrt{a b}-2 a}{4 \sqrt{-a b +\sqrt{a b}\, a}}\right) b}{4 d \left(a -b \right) a \sqrt{-a b +\sqrt{a b}\, a}}+\frac{\arctan \left(\frac{-2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \sqrt{a b}+2 a}{4 \sqrt{-a b -\sqrt{a b}\, a}}\right) \sqrt{a b}}{8 d \left(a -b \right) a \sqrt{-a b -\sqrt{a b}\, a}}-\frac{3 \arctan \left(\frac{-2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \sqrt{a b}+2 a}{4 \sqrt{-a b -\sqrt{a b}\, a}}\right)}{8 d \left(a -b \right) \sqrt{-a b -\sqrt{a b}\, a}}+\frac{\arctan \left(\frac{-2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \sqrt{a b}+2 a}{4 \sqrt{-a b -\sqrt{a b}\, a}}\right) b}{4 d \left(a -b \right) a \sqrt{-a b -\sqrt{a b}\, a}}"," ",0,"-1/2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/(a-b)*tanh(1/2*d*x+1/2*c)^6+1/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/(a-b)/a*tanh(1/2*d*x+1/2*c)^6*b+3/2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/(a-b)*tanh(1/2*d*x+1/2*c)^4-4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/a/(a-b)*tanh(1/2*d*x+1/2*c)^4*b-3/2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/(a-b)*tanh(1/2*d*x+1/2*c)^2-1/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/a/(a-b)*tanh(1/2*d*x+1/2*c)^2*b+1/2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/(a-b)+1/8/d/(a-b)/a/(-a*b+(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)-2*a)/(-a*b+(a*b)^(1/2)*a)^(1/2))*(a*b)^(1/2)+3/8/d/(a-b)/(-a*b+(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)-2*a)/(-a*b+(a*b)^(1/2)*a)^(1/2))-1/4/d/(a-b)/a/(-a*b+(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)-2*a)/(-a*b+(a*b)^(1/2)*a)^(1/2))*b+1/8/d/(a-b)/a/(-a*b-(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(-2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)+2*a)/(-a*b-(a*b)^(1/2)*a)^(1/2))*(a*b)^(1/2)-3/8/d/(a-b)/(-a*b-(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(-2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)+2*a)/(-a*b-(a*b)^(1/2)*a)^(1/2))+1/4/d/(a-b)/a/(-a*b-(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(-2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)+2*a)/(-a*b-(a*b)^(1/2)*a)^(1/2))*b","B"
246,1,966,247,0.183000," ","int(csch(d*x+c)/(a-b*sinh(d*x+c)^4)^2,x)","-\frac{\left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{2 d \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) \left(a -b \right) a}-\frac{3 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{2 d \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) a \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^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) \left(a -b \right)}+\frac{5 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{2 d \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) a \left(a -b \right)}-\frac{b}{2 d a \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) \left(a -b \right)}-\frac{5 \arctan \left(\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \sqrt{a b}-2 a}{4 \sqrt{-a b +\sqrt{a b}\, a}}\right) \sqrt{a b}}{8 d \left(a -b \right) a \sqrt{-a b +\sqrt{a b}\, a}}+\frac{b \arctan \left(\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \sqrt{a b}-2 a}{4 \sqrt{-a b +\sqrt{a b}\, a}}\right) \sqrt{a b}}{2 d \,a^{2} \left(a -b \right) \sqrt{-a b +\sqrt{a b}\, a}}-\frac{\arctan \left(\frac{2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \sqrt{a b}-2 a}{4 \sqrt{-a b +\sqrt{a b}\, a}}\right) b}{8 d \left(a -b \right) a \sqrt{-a b +\sqrt{a b}\, a}}-\frac{5 \arctan \left(\frac{-2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \sqrt{a b}+2 a}{4 \sqrt{-a b -\sqrt{a b}\, a}}\right) \sqrt{a b}}{8 d \left(a -b \right) a \sqrt{-a b -\sqrt{a b}\, a}}+\frac{b \arctan \left(\frac{-2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \sqrt{a b}+2 a}{4 \sqrt{-a b -\sqrt{a b}\, a}}\right) \sqrt{a b}}{2 d \,a^{2} \left(a -b \right) \sqrt{-a b -\sqrt{a b}\, a}}+\frac{\arctan \left(\frac{-2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \sqrt{a b}+2 a}{4 \sqrt{-a b -\sqrt{a b}\, a}}\right) b}{8 d \left(a -b \right) a \sqrt{-a b -\sqrt{a b}\, a}}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{2}}"," ",0,"-1/2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/(a-b)/a*tanh(1/2*d*x+1/2*c)^6*b-3/2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/a/(a-b)*tanh(1/2*d*x+1/2*c)^4*b+4/d/a^2*b^2/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/(a-b)*tanh(1/2*d*x+1/2*c)^4+5/2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/a/(a-b)*tanh(1/2*d*x+1/2*c)^2*b-1/2/d/a*b/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/(a-b)-5/8/d/(a-b)/a/(-a*b+(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)-2*a)/(-a*b+(a*b)^(1/2)*a)^(1/2))*(a*b)^(1/2)+1/2/d/a^2*b/(a-b)/(-a*b+(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)-2*a)/(-a*b+(a*b)^(1/2)*a)^(1/2))*(a*b)^(1/2)-1/8/d/(a-b)/a/(-a*b+(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)-2*a)/(-a*b+(a*b)^(1/2)*a)^(1/2))*b-5/8/d/(a-b)/a/(-a*b-(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(-2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)+2*a)/(-a*b-(a*b)^(1/2)*a)^(1/2))*(a*b)^(1/2)+1/2/d/a^2*b/(a-b)/(-a*b-(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(-2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)+2*a)/(-a*b-(a*b)^(1/2)*a)^(1/2))*(a*b)^(1/2)+1/8/d/(a-b)/a/(-a*b-(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(-2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)+2*a)/(-a*b-(a*b)^(1/2)*a)^(1/2))*b+1/d/a^2*ln(tanh(1/2*d*x+1/2*c))","B"
247,1,574,240,0.107000," ","int(sinh(d*x+c)^8/(a-b*sinh(d*x+c)^4)^2,x)","-\frac{a \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{2 d b \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) \left(a -b \right)}+\frac{5 a \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{2 d b \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) \left(a -b \right)}+\frac{5 a \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{2 d b \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) \left(a -b \right)}-\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{2 d b \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) \left(a -b \right)}+\frac{a \left(\munderset{\textit{\_R} =\RootOf \left(a \,\textit{\_Z}^{8}-4 a \,\textit{\_Z}^{6}+\left(6 a -16 b \right) \textit{\_Z}^{4}-4 a \,\textit{\_Z}^{2}+a \right)}{\sum}\frac{\left(\left(4 a -5 b \right) \textit{\_R}^{6}+\left(-12 a +19 b \right) \textit{\_R}^{4}+\left(12 a -19 b \right) \textit{\_R}^{2}-4 a +5 b \right) \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\textit{\_R} \right)}{\textit{\_R}^{7} a -3 \textit{\_R}^{5} a +3 \textit{\_R}^{3} a -8 \textit{\_R}^{3} b -\textit{\_R} a}\right)}{16 d \,b^{2} \left(a -b \right)}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,b^{2}}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,b^{2}}"," ",0,"-1/2/d*a/b/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/(a-b)*tanh(1/2*d*x+1/2*c)^7+5/2/d*a/b/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/(a-b)*tanh(1/2*d*x+1/2*c)^5+5/2/d*a/b/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/(a-b)*tanh(1/2*d*x+1/2*c)^3-1/2/d*a/b/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/(a-b)*tanh(1/2*d*x+1/2*c)+1/16/d*a/b^2/(a-b)*sum(((4*a-5*b)*_R^6+(-12*a+19*b)*_R^4+(12*a-19*b)*_R^2-4*a+5*b)/(_R^7*a-3*_R^5*a+3*_R^3*a-8*_R^3*b-_R*a)*ln(tanh(1/2*d*x+1/2*c)-_R),_R=RootOf(a*_Z^8-4*a*_Z^6+(6*a-16*b)*_Z^4-4*a*_Z^2+a))-1/d/b^2*ln(tanh(1/2*d*x+1/2*c)-1)+1/d/b^2*ln(tanh(1/2*d*x+1/2*c)+1)","C"
248,1,716,181,0.092000," ","int(sinh(d*x+c)^6/(a-b*sinh(d*x+c)^4)^2,x)","\frac{a \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{2 d b \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) \left(a -b \right)}-\frac{a \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{2 d b \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) \left(a -b \right)}-\frac{2 \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) \left(a -b \right)}-\frac{a \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{2 d b \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) \left(a -b \right)}-\frac{2 \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) \left(a -b \right)}+\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{2 d b \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) \left(a -b \right)}-\frac{\munderset{\textit{\_R} =\RootOf \left(a \,\textit{\_Z}^{8}-4 a \,\textit{\_Z}^{6}+\left(6 a -16 b \right) \textit{\_Z}^{4}-4 a \,\textit{\_Z}^{2}+a \right)}{\sum}\frac{\left(-\textit{\_R}^{6} a +\left(-5 a +12 b \right) \textit{\_R}^{4}+\left(5 a -12 b \right) \textit{\_R}^{2}+a \right) \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\textit{\_R} \right)}{\textit{\_R}^{7} a -3 \textit{\_R}^{5} a +3 \textit{\_R}^{3} a -8 \textit{\_R}^{3} b -\textit{\_R} a}}{16 d b \left(a -b \right)}"," ",0,"1/2/d*a/b/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/(a-b)*tanh(1/2*d*x+1/2*c)^7-1/2/d*a/b/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/(a-b)*tanh(1/2*d*x+1/2*c)^5-2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/(a-b)*tanh(1/2*d*x+1/2*c)^5-1/2/d*a/b/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/(a-b)*tanh(1/2*d*x+1/2*c)^3-2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/(a-b)*tanh(1/2*d*x+1/2*c)^3+1/2/d*a/b/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/(a-b)*tanh(1/2*d*x+1/2*c)-1/16/d/b/(a-b)*sum((-_R^6*a+(-5*a+12*b)*_R^4+(5*a-12*b)*_R^2+a)/(_R^7*a-3*_R^5*a+3*_R^3*a-8*_R^3*b-_R*a)*ln(tanh(1/2*d*x+1/2*c)-_R),_R=RootOf(a*_Z^8-4*a*_Z^6+(6*a-16*b)*_Z^4-4*a*_Z^2+a))","C"
249,1,490,151,0.088000," ","int(sinh(d*x+c)^4/(a-b*sinh(d*x+c)^4)^2,x)","-\frac{\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)}{2 d \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) \left(a -b \right)}+\frac{5 \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{2 d \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) \left(a -b \right)}+\frac{5 \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{2 d \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) \left(a -b \right)}-\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{2 d \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) \left(a -b \right)}-\frac{\munderset{\textit{\_R} =\RootOf \left(a \,\textit{\_Z}^{8}-4 a \,\textit{\_Z}^{6}+\left(6 a -16 b \right) \textit{\_Z}^{4}-4 a \,\textit{\_Z}^{2}+a \right)}{\sum}\frac{\left(\textit{\_R}^{6}-7 \textit{\_R}^{4}+7 \textit{\_R}^{2}-1\right) \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\textit{\_R} \right)}{\textit{\_R}^{7} a -3 \textit{\_R}^{5} a +3 \textit{\_R}^{3} a -8 \textit{\_R}^{3} b -\textit{\_R} a}}{16 d \left(a -b \right)}"," ",0,"-1/2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/(a-b)*tanh(1/2*d*x+1/2*c)^7+5/2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/(a-b)*tanh(1/2*d*x+1/2*c)^5+5/2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/(a-b)*tanh(1/2*d*x+1/2*c)^3-1/2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/(a-b)*tanh(1/2*d*x+1/2*c)-1/16/d/(a-b)*sum((_R^6-7*_R^4+7*_R^2-1)/(_R^7*a-3*_R^5*a+3*_R^3*a-8*_R^3*b-_R*a)*ln(tanh(1/2*d*x+1/2*c)-_R),_R=RootOf(a*_Z^8-4*a*_Z^6+(6*a-16*b)*_Z^4-4*a*_Z^2+a))","C"
250,1,708,170,0.114000," ","int(sinh(d*x+c)^2/(a-b*sinh(d*x+c)^4)^2,x)","\frac{\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)}{2 d \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) \left(a -b \right)}-\frac{\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)}{2 d \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) \left(a -b \right)}-\frac{2 \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{d \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) a \left(a -b \right)}-\frac{\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)}{2 d \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) \left(a -b \right)}-\frac{2 \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{d \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) a \left(a -b \right)}+\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{2 d \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) \left(a -b \right)}-\frac{\munderset{\textit{\_R} =\RootOf \left(a \,\textit{\_Z}^{8}-4 a \,\textit{\_Z}^{6}+\left(6 a -16 b \right) \textit{\_Z}^{4}-4 a \,\textit{\_Z}^{2}+a \right)}{\sum}\frac{\left(-\textit{\_R}^{6} a +\left(11 a -4 b \right) \textit{\_R}^{4}+\left(-11 a +4 b \right) \textit{\_R}^{2}+a \right) \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\textit{\_R} \right)}{\textit{\_R}^{7} a -3 \textit{\_R}^{5} a +3 \textit{\_R}^{3} a -8 \textit{\_R}^{3} b -\textit{\_R} a}}{16 d a \left(a -b \right)}"," ",0,"1/2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/(a-b)*tanh(1/2*d*x+1/2*c)^7-1/2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/(a-b)*tanh(1/2*d*x+1/2*c)^5-2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/a/(a-b)*tanh(1/2*d*x+1/2*c)^5*b-1/2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/(a-b)*tanh(1/2*d*x+1/2*c)^3-2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/a/(a-b)*tanh(1/2*d*x+1/2*c)^3*b+1/2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/(a-b)*tanh(1/2*d*x+1/2*c)-1/16/d/a/(a-b)*sum((-_R^6*a+(11*a-4*b)*_R^4+(-11*a+4*b)*_R^2+a)/(_R^7*a-3*_R^5*a+3*_R^3*a-8*_R^3*b-_R*a)*ln(tanh(1/2*d*x+1/2*c)-_R),_R=RootOf(a*_Z^8-4*a*_Z^6+(6*a-16*b)*_Z^4-4*a*_Z^2+a))","C"
251,1,534,164,0.112000," ","int(1/(a-b*sinh(d*x+c)^4)^2,x)","-\frac{b \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{2 d \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) a \left(a -b \right)}+\frac{5 \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{2 d \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) a \left(a -b \right)}+\frac{5 \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{2 d \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) a \left(a -b \right)}-\frac{b \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{2 d \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) a \left(a -b \right)}-\frac{\munderset{\textit{\_R} =\RootOf \left(a \,\textit{\_Z}^{8}-4 a \,\textit{\_Z}^{6}+\left(6 a -16 b \right) \textit{\_Z}^{4}-4 a \,\textit{\_Z}^{2}+a \right)}{\sum}\frac{\left(\left(4 a -3 b \right) \textit{\_R}^{6}+\left(-12 a +5 b \right) \textit{\_R}^{4}+\left(-5 b +12 a \right) \textit{\_R}^{2}-4 a +3 b \right) \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\textit{\_R} \right)}{\textit{\_R}^{7} a -3 \textit{\_R}^{5} a +3 \textit{\_R}^{3} a -8 \textit{\_R}^{3} b -\textit{\_R} a}}{16 d a \left(a -b \right)}"," ",0,"-1/2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)*b/a/(a-b)*tanh(1/2*d*x+1/2*c)^7+5/2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/a/(a-b)*tanh(1/2*d*x+1/2*c)^5*b+5/2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/a/(a-b)*tanh(1/2*d*x+1/2*c)^3*b-1/2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)*b/a/(a-b)*tanh(1/2*d*x+1/2*c)-1/16/d/a/(a-b)*sum(((4*a-3*b)*_R^6+(-12*a+5*b)*_R^4+(-5*b+12*a)*_R^2-4*a+3*b)/(_R^7*a-3*_R^5*a+3*_R^3*a-8*_R^3*b-_R*a)*ln(tanh(1/2*d*x+1/2*c)-_R),_R=RootOf(a*_Z^8-4*a*_Z^6+(6*a-16*b)*_Z^4-4*a*_Z^2+a))","C"
252,1,765,187,0.169000," ","int(csch(d*x+c)^2/(a-b*sinh(d*x+c)^4)^2,x)","-\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{2 d \,a^{2}}+\frac{b \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{2 d \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) a \left(a -b \right)}-\frac{\left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{2 d \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) a \left(a -b \right)}-\frac{2 b^{2} \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{2} \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) \left(a -b \right)}-\frac{\left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{2 d \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) a \left(a -b \right)}-\frac{2 b^{2} \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \,a^{2} \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) \left(a -b \right)}+\frac{b \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{2 d \left(\left(\tanh^{8}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -4 \left(\tanh^{6}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +6 \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -16 b \left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +a \right) a \left(a -b \right)}-\frac{b \left(\munderset{\textit{\_R} =\RootOf \left(a \,\textit{\_Z}^{8}-4 a \,\textit{\_Z}^{6}+\left(6 a -16 b \right) \textit{\_Z}^{4}-4 a \,\textit{\_Z}^{2}+a \right)}{\sum}\frac{\left(-\textit{\_R}^{6} a +\left(27 a -20 b \right) \textit{\_R}^{4}+\left(-27 a +20 b \right) \textit{\_R}^{2}+a \right) \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-\textit{\_R} \right)}{\textit{\_R}^{7} a -3 \textit{\_R}^{5} a +3 \textit{\_R}^{3} a -8 \textit{\_R}^{3} b -\textit{\_R} a}\right)}{16 d \,a^{2} \left(a -b \right)}-\frac{1}{2 d \,a^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}"," ",0,"-1/2/d/a^2*tanh(1/2*d*x+1/2*c)+1/2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)*b/a/(a-b)*tanh(1/2*d*x+1/2*c)^7-1/2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/a/(a-b)*tanh(1/2*d*x+1/2*c)^5*b-2/d/a^2*b^2/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/(a-b)*tanh(1/2*d*x+1/2*c)^5-1/2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/a/(a-b)*tanh(1/2*d*x+1/2*c)^3*b-2/d/a^2*b^2/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)/(a-b)*tanh(1/2*d*x+1/2*c)^3+1/2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)*b/a/(a-b)*tanh(1/2*d*x+1/2*c)-1/16/d/a^2*b/(a-b)*sum((-_R^6*a+(27*a-20*b)*_R^4+(-27*a+20*b)*_R^2+a)/(_R^7*a-3*_R^5*a+3*_R^3*a-8*_R^3*b-_R*a)*ln(tanh(1/2*d*x+1/2*c)-_R),_R=RootOf(a*_Z^8-4*a*_Z^6+(6*a-16*b)*_Z^4-4*a*_Z^2+a))-1/2/d/a^2/tanh(1/2*d*x+1/2*c)","C"
253,1,3542,263,0.166000," ","int(sinh(d*x+c)^9/(a-b*sinh(d*x+c)^4)^3,x)","\text{output too large to display}"," ",0,"-1/16/d/b^2/(a^2-2*a*b+b^2)*a/(-a*b-(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(-2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)+2*a)/(-a*b-(a*b)^(1/2)*a)^(1/2))*(a*b)^(1/2)-1/16/d/b^2/(a^2-2*a*b+b^2)*a/(-a*b+(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)-2*a)/(-a*b+(a*b)^(1/2)*a)^(1/2))*(a*b)^(1/2)-13/2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^12-35/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a^3/b^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^12+85/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a^2/b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^12+105/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/b^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^10*a^3-407/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^10*a^2-175/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/b^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^8*a^3+865/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^8*a^2+11/64/d/b/(a^2-2*a*b+b^2)*a/(-a*b-(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(-2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)+2*a)/(-a*b-(a*b)^(1/2)*a)^(1/2))+175/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/b^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^6*a^3-849/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^6*a^2-105/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a^3/b^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^4+383/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a^2/b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^4+35/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a^3/b^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^2-77/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a^2/b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^2+5/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a^3/b^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^14-11/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a^2/b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^14-11/64/d/b/(a^2-2*a*b+b^2)*a/(-a*b+(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)-2*a)/(-a*b+(a*b)^(1/2)*a)^(1/2))-5/64/d/b^2/(a^2-2*a*b+b^2)*a^2/(-a*b-(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(-2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)+2*a)/(-a*b-(a*b)^(1/2)*a)^(1/2))+163/4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^10*a-106/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^8*a-20/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^10+88/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^8+20/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^6-5/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a^3/b^2/(a^2-2*a*b+b^2)+11/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a^2/b/(a^2-2*a*b+b^2)+189/4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^6*a-31/2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^4-3/4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^2+3/4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^14+5/32/d/b/(a^2-2*a*b+b^2)/(-a*b+(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)-2*a)/(-a*b+(a*b)^(1/2)*a)^(1/2))*(a*b)^(1/2)+5/32/d/b/(a^2-2*a*b+b^2)/(-a*b-(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(-2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)+2*a)/(-a*b-(a*b)^(1/2)*a)^(1/2))*(a*b)^(1/2)+5/64/d/b^2/(a^2-2*a*b+b^2)*a^2/(-a*b+(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)-2*a)/(-a*b+(a*b)^(1/2)*a)^(1/2))+3/16/d/(a^2-2*a*b+b^2)/(-a*b+(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)-2*a)/(-a*b+(a*b)^(1/2)*a)^(1/2))-3/16/d/(a^2-2*a*b+b^2)/(-a*b-(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(-2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)+2*a)/(-a*b-(a*b)^(1/2)*a)^(1/2))","B"
254,1,2563,238,0.157000," ","int(sinh(d*x+c)^7/(a-b*sinh(d*x+c)^4)^3,x)","\text{Expression too large to display}"," ",0,"3/64/d/b^2/(a^2-2*a*b+b^2)*a/(-a*b-(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(-2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)+2*a)/(-a*b-(a*b)^(1/2)*a)^(1/2))*(a*b)^(1/2)+3/64/d/b^2/(a^2-2*a*b+b^2)*a/(-a*b+(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)-2*a)/(-a*b+(a*b)^(1/2)*a)^(1/2))*(a*b)^(1/2)+15/4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^12-3/8/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a^2/b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^12+2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^10*a^2-35/8/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^8*a^2-32/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/a*b^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^8-1/4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a/(a^2-2*a*b+b^2)+5/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^6*a^2-25/8/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a^2/b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^4+1/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a^2/b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^2-111/8/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^10*a+13/4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^8*a+10/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^10+8/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^8-42/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^6-1/8/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a^2/b/(a^2-2*a*b+b^2)+95/8/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^6*a-27/4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^4+19/8/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^2-3/8/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^14-9/64/d/b/(a^2-2*a*b+b^2)/(-a*b+(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)-2*a)/(-a*b+(a*b)^(1/2)*a)^(1/2))*(a*b)^(1/2)-9/64/d/b/(a^2-2*a*b+b^2)/(-a*b-(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(-2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)+2*a)/(-a*b-(a*b)^(1/2)*a)^(1/2))*(a*b)^(1/2)+8/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^4-3/32/d/(a^2-2*a*b+b^2)/(-a*b+(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)-2*a)/(-a*b+(a*b)^(1/2)*a)^(1/2))+3/32/d/(a^2-2*a*b+b^2)/(-a*b-(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(-2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)+2*a)/(-a*b-(a*b)^(1/2)*a)^(1/2))","B"
255,1,3511,261,0.171000," ","int(sinh(d*x+c)^5/(a-b*sinh(d*x+c)^4)^3,x)","\text{output too large to display}"," ",0,"-99/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^12+21/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a^2/b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^12-63/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^10*a^2+105/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^8*a^2+24/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/a*b^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^8+3/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a/(a^2-2*a*b+b^2)+3/64/d/b/(a^2-2*a*b+b^2)*a/(-a*b-(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(-2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)+2*a)/(-a*b-(a*b)^(1/2)*a)^(1/2))-105/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^6*a^2+63/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a^2/b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^4-21/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a^2/b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^2-3/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a^2/b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^14-3/64/d/b/(a^2-2*a*b+b^2)*a/(-a*b+(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)-2*a)/(-a*b+(a*b)^(1/2)*a)^(1/2))+225/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^10*a-183/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^8*a-17/4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^10+6/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^8+113/4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^6+3/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a^2/b/(a^2-2*a*b+b^2)-9/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^6*a+87/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^4-37/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^2+13/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^14+1/16/d/b/(a^2-2*a*b+b^2)/(-a*b+(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)-2*a)/(-a*b+(a*b)^(1/2)*a)^(1/2))*(a*b)^(1/2)+1/16/d/b/(a^2-2*a*b+b^2)/(-a*b-(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(-2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)+2*a)/(-a*b-(a*b)^(1/2)*a)^(1/2))*(a*b)^(1/2)-15/2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^4+13/64/d/(a^2-2*a*b+b^2)/(-a*b+(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)-2*a)/(-a*b+(a*b)^(1/2)*a)^(1/2))-13/64/d/(a^2-2*a*b+b^2)/(-a*b-(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(-2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)+2*a)/(-a*b-(a*b)^(1/2)*a)^(1/2))-1/4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^14+3/2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^12+1/4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^2+1/16/d*b/(a^2-2*a*b+b^2)/a/(-a*b-(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(-2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)+2*a)/(-a*b-(a*b)^(1/2)*a)^(1/2))-4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b^2/(a^2-2*a*b+b^2)/a*tanh(1/2*d*x+1/2*c)^10+1/32/d/(a^2-2*a*b+b^2)/a/(-a*b+(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)-2*a)/(-a*b+(a*b)^(1/2)*a)^(1/2))*(a*b)^(1/2)+1/32/d/(a^2-2*a*b+b^2)/a/(-a*b-(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(-2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)+2*a)/(-a*b-(a*b)^(1/2)*a)^(1/2))*(a*b)^(1/2)-1/16/d*b/(a^2-2*a*b+b^2)/a/(-a*b+(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)-2*a)/(-a*b+(a*b)^(1/2)*a)^(1/2))+4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/a*b^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^6","B"
256,1,2916,236,0.128000," ","int(sinh(d*x+c)^3/(a-b*sinh(d*x+c)^4)^3,x)","\text{output too large to display}"," ",0,"-4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)/a*tanh(1/2*d*x+1/2*c)^12*b^2+32/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/a^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^8*b^3-4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^4*b^2+1/8/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^12-104/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/a*b^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^8-5/8/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a/(a^2-2*a*b+b^2)+15/2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^10*a-175/8/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^8*a-219/8/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^10+275/4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^8-533/8/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^6+55/2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^6*a-141/8/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^4+11/2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^2-1/2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^14-5/64/d/b/(a^2-2*a*b+b^2)/(-a*b+(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)-2*a)/(-a*b+(a*b)^(1/2)*a)^(1/2))*(a*b)^(1/2)-5/64/d/b/(a^2-2*a*b+b^2)/(-a*b-(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(-2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)+2*a)/(-a*b-(a*b)^(1/2)*a)^(1/2))*(a*b)^(1/2)+79/4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^4+1/4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)*b-1/8/d/(a^2-2*a*b+b^2)/(-a*b+(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)-2*a)/(-a*b+(a*b)^(1/2)*a)^(1/2))+1/8/d/(a^2-2*a*b+b^2)/(-a*b-(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(-2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)+2*a)/(-a*b-(a*b)^(1/2)*a)^(1/2))+1/8/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^14+29/4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^12-17/8/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^2-1/32/d*b/(a^2-2*a*b+b^2)/a/(-a*b-(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(-2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)+2*a)/(-a*b-(a*b)^(1/2)*a)^(1/2))+18/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b^2/(a^2-2*a*b+b^2)/a*tanh(1/2*d*x+1/2*c)^10-1/64/d/(a^2-2*a*b+b^2)/a/(-a*b+(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)-2*a)/(-a*b+(a*b)^(1/2)*a)^(1/2))*(a*b)^(1/2)-1/64/d/(a^2-2*a*b+b^2)/a/(-a*b-(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(-2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)+2*a)/(-a*b-(a*b)^(1/2)*a)^(1/2))*(a*b)^(1/2)+1/32/d*b/(a^2-2*a*b+b^2)/a/(-a*b+(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)-2*a)/(-a*b+(a*b)^(1/2)*a)^(1/2))+14/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/a*b^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^6","B"
257,1,3512,261,0.175000," ","int(sinh(d*x+c)/(a-b*sinh(d*x+c)^4)^3,x)","\text{output too large to display}"," ",0,"-3/32/d/a^2/(a^2-2*a*b+b^2)/(-a*b+(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)-2*a)/(-a*b+(a*b)^(1/2)*a)^(1/2))*(a*b)^(1/2)*b-3/32/d/a^2/(a^2-2*a*b+b^2)/(-a*b-(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(-2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)+2*a)/(-a*b-(a*b)^(1/2)*a)^(1/2))*(a*b)^(1/2)*b+19/2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)/a*tanh(1/2*d*x+1/2*c)^12*b^2-40/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/a^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^8*b^3+1/2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^4*b^2+77/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^12+118/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/a*b^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^8+11/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a/(a^2-2*a*b+b^2)+12/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/a^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^10*b^3-231/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^10*a+385/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^8*a+857/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^10-1231/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^8+831/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^6-385/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^6*a+231/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^4-77/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^2-11/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^14-209/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^4-5/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)*b+21/64/d/(a^2-2*a*b+b^2)/(-a*b+(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)-2*a)/(-a*b+(a*b)^(1/2)*a)^(1/2))-21/64/d/(a^2-2*a*b+b^2)/(-a*b-(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(-2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)+2*a)/(-a*b-(a*b)^(1/2)*a)^(1/2))+37/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^14-283/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^12+3/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^2+27/64/d*b/(a^2-2*a*b+b^2)/a/(-a*b-(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(-2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)+2*a)/(-a*b-(a*b)^(1/2)*a)^(1/2))-197/4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b^2/(a^2-2*a*b+b^2)/a*tanh(1/2*d*x+1/2*c)^10+3/16/d/(a^2-2*a*b+b^2)/a/(-a*b+(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)-2*a)/(-a*b+(a*b)^(1/2)*a)^(1/2))*(a*b)^(1/2)+3/16/d/(a^2-2*a*b+b^2)/a/(-a*b-(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(-2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)+2*a)/(-a*b-(a*b)^(1/2)*a)^(1/2))*(a*b)^(1/2)-27/64/d*b/(a^2-2*a*b+b^2)/a/(-a*b+(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)-2*a)/(-a*b+(a*b)^(1/2)*a)^(1/2))+37/4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/a*b^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^6+3/16/d/a^2/(a^2-2*a*b+b^2)/(-a*b+(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)-2*a)/(-a*b+(a*b)^(1/2)*a)^(1/2))*b^2+5/4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^2*b^2-12/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/a^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^6*b^3-3/16/d/a^2/(a^2-2*a*b+b^2)/(-a*b-(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(-2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)+2*a)/(-a*b-(a*b)^(1/2)*a)^(1/2))*b^2-5/4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^14*b^2","B"
258,1,3159,487,0.234000," ","int(csch(d*x+c)/(a-b*sinh(d*x+c)^4)^3,x)","\text{output too large to display}"," ",0,"71/64/d/a^2/(a^2-2*a*b+b^2)/(-a*b+(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)-2*a)/(-a*b+(a*b)^(1/2)*a)^(1/2))*(a*b)^(1/2)*b+71/64/d/a^2/(a^2-2*a*b+b^2)/(-a*b-(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(-2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)+2*a)/(-a*b-(a*b)^(1/2)*a)^(1/2))*(a*b)^(1/2)*b-1/2/d*b^2/a^3/(a^2-2*a*b+b^2)/(-a*b+(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)-2*a)/(-a*b+(a*b)^(1/2)*a)^(1/2))*(a*b)^(1/2)-1/2/d*b^2/a^3/(a^2-2*a*b+b^2)/(-a*b-(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(-2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)+2*a)/(-a*b-(a*b)^(1/2)*a)^(1/2))*(a*b)^(1/2)+43/4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)/a*tanh(1/2*d*x+1/2*c)^12*b^2-216/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/a^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^8*b^3+185/4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^4*b^2+537/4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/a*b^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^8+26/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/a^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^10*b^3+13/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^10-315/8/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^8+50/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^6-257/8/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^4+3/4/d*b^2/a/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)-9/8/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)*b-1/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^14+5/8/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^12+10/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^2+1/d/a^3*ln(tanh(1/2*d*x+1/2*c))+96/d*b^4/a^3/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^8-8/d*b^3/a^2/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^12+1/4/d*b/(a^2-2*a*b+b^2)/a/(-a*b-(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(-2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)+2*a)/(-a*b-(a*b)^(1/2)*a)^(1/2))-327/8/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b^2/(a^2-2*a*b+b^2)/a*tanh(1/2*d*x+1/2*c)^10-45/64/d/(a^2-2*a*b+b^2)/a/(-a*b+(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)-2*a)/(-a*b+(a*b)^(1/2)*a)^(1/2))*(a*b)^(1/2)-45/64/d/(a^2-2*a*b+b^2)/a/(-a*b-(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(-2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)+2*a)/(-a*b-(a*b)^(1/2)*a)^(1/2))*(a*b)^(1/2)-1/4/d*b/(a^2-2*a*b+b^2)/a/(-a*b+(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)-2*a)/(-a*b+(a*b)^(1/2)*a)^(1/2))-1161/8/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/a*b^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^6+5/32/d/a^2/(a^2-2*a*b+b^2)/(-a*b+(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)-2*a)/(-a*b+(a*b)^(1/2)*a)^(1/2))*b^2-16/d*b^3/a^2/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^4-53/8/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^2*b^2+70/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/a^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^6*b^3-5/32/d/a^2/(a^2-2*a*b+b^2)/(-a*b-(a*b)^(1/2)*a)^(1/2)*arctan(1/4*(-2*tanh(1/2*d*x+1/2*c)^2*a+4*(a*b)^(1/2)+2*a)/(-a*b-(a*b)^(1/2)*a)^(1/2))*b^2+5/8/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^14*b^2","B"
259,1,2236,263,0.151000," ","int(sinh(d*x+c)^8/(a-b*sinh(d*x+c)^4)^3,x)","\text{Expression too large to display}"," ",0,"-1/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a^2/b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)-5/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)+5/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a^2/b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^3+49/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^3-9/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^5*a^2-165/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^5*a+9/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^5+5/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^7*a^2+377/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^7*a-49/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^7+5/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^9*a^2+377/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^9*a-49/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^9-9/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^11*a^2-165/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^11*a+9/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^11+5/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a^2/b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^13+49/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^13-1/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a^2/b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^15-5/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^15-1/128/d/b/(a^2-2*a*b+b^2)*sum(((a+5*b)*_R^6+(5*a-47*b)*_R^4+(-5*a+47*b)*_R^2-a-5*b)/(_R^7*a-3*_R^5*a+3*_R^3*a-8*_R^3*b-_R*a)*ln(tanh(1/2*d*x+1/2*c)-_R),_R=RootOf(a*_Z^8-4*a*_Z^6+(6*a-16*b)*_Z^4-4*a*_Z^2+a))","C"
260,1,2681,293,0.165000," ","int(sinh(d*x+c)^6/(a-b*sinh(d*x+c)^4)^3,x)","\text{Expression too large to display}"," ",0,"-5/8/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^7*a^2-5/8/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^9*a^2+9/8/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^11*a^2-5/8/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a^2/b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^13+1/8/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a^2/b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^15+1/8/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a^2/b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)-5/8/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a^2/b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^3+9/8/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^5*a^2+12/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/a*b^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^7+12/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/a*b^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^9-1/64/d/a/b/(a^2-2*a*b+b^2)*sum((a*(-a-2*b)*_R^6+(-5*a^2+32*a*b-6*b^2)*_R^4+(5*a^2-32*a*b+6*b^2)*_R^2+a^2+2*a*b)/(_R^7*a-3*_R^5*a+3*_R^3*a-8*_R^3*b-_R*a)*ln(tanh(1/2*d*x+1/2*c)-_R),_R=RootOf(a*_Z^8-4*a*_Z^6+(6*a-16*b)*_Z^4-4*a*_Z^2+a))+1/4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^13+1/4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^3+1/4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)-3/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^3+19/2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^5*a-35/4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^5-27/4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^7*a+41/2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^7-27/4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^9*a+41/2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^9+19/2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^11*a-35/4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^11-3/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^13+1/4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^15","C"
261,1,2214,262,0.171000," ","int(sinh(d*x+c)^4/(a-b*sinh(d*x+c)^4)^3,x)","\text{Expression too large to display}"," ",0,"-9/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)+3/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)*b+77/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^3-23/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^3-177/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^5*a+131/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^5+1/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)/a*tanh(1/2*d*x+1/2*c)^5*b^2+109/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^7*a-367/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^7-9/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/a*b^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^7+109/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^9*a-367/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^9-9/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/a*b^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^9-177/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^11*a+131/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^11+1/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)/a*tanh(1/2*d*x+1/2*c)^11*b^2+77/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^13-23/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^13-9/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^15+3/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^15*b-3/128/d/(a^2-2*a*b+b^2)/a*sum(((3*a-b)*_R^6+(-17*a+3*b)*_R^4+(17*a-3*b)*_R^2-3*a+b)/(_R^7*a-3*_R^5*a+3*_R^3*a-8*_R^3*b-_R*a)*ln(tanh(1/2*d*x+1/2*c)-_R),_R=RootOf(a*_Z^8-4*a*_Z^6+(6*a-16*b)*_Z^4-4*a*_Z^2+a))","C"
262,1,2670,296,0.186000," ","int(sinh(d*x+c)^2/(a-b*sinh(d*x+c)^4)^3,x)","\text{Expression too large to display}"," ",0,"-20/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/a^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^7*b^3+9/4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^3*b^2-20/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/a^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^9*b^3+9/4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^13*b^2-27/4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)/a*tanh(1/2*d*x+1/2*c)^11*b^2-27/4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)/a*tanh(1/2*d*x+1/2*c)^5*b^2+97/2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/a*b^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^7+97/2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/a*b^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^9-5/2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^13-5/2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^3-1/4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)*b-1/64/d/a^2/(a^2-2*a*b+b^2)*sum((a*(-5*a+2*b)*_R^6+(39*a^2-28*a*b+10*b^2)*_R^4+(-39*a^2+28*a*b-10*b^2)*_R^2+5*a^2-2*a*b)/(_R^7*a-3*_R^5*a+3*_R^3*a-8*_R^3*b-_R*a)*ln(tanh(1/2*d*x+1/2*c)-_R),_R=RootOf(a*_Z^8-4*a*_Z^6+(6*a-16*b)*_Z^4-4*a*_Z^2+a))+5/8/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)-25/8/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^3+45/8/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^5*a+3/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^5-25/8/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^7*a-1/4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^7-25/8/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^9*a-1/4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^9+45/8/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^11*a+3/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^11-25/8/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^13+5/8/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^15-1/4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^15*b","C"
263,1,2290,272,0.188000," ","int(1/(a-b*sinh(d*x+c)^4)^3,x)","\text{Expression too large to display}"," ",0,"-17/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)*b+11/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b^2/a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)+149/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^3-95/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^3*b^2-345/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^5+427/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)/a*tanh(1/2*d*x+1/2*c)^5*b^2-7/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/a^2*b^3/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^5+213/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^7-1111/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/a*b^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^7+31/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/a^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^7*b^3+213/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^9-1111/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/a*b^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^9+31/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/a^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^9*b^3-345/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^11+427/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)/a*tanh(1/2*d*x+1/2*c)^11*b^2-7/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/a^2*b^3/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^11+149/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^13-95/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^13*b^2-17/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^15*b+11/16/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b^2/a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^15-1/128/d/(a^2-2*a*b+b^2)/a^2*sum(((32*a^2-47*a*b+21*b^2)*_R^6+(-96*a^2+85*a*b-31*b^2)*_R^4+(96*a^2-85*a*b+31*b^2)*_R^2-32*a^2+47*a*b-21*b^2)/(_R^7*a-3*_R^5*a+3*_R^3*a-8*_R^3*b-_R*a)*ln(tanh(1/2*d*x+1/2*c)-_R),_R=RootOf(a*_Z^8-4*a*_Z^6+(6*a-16*b)*_Z^4-4*a*_Z^2+a))","C"
264,1,2747,307,0.247000," ","int(csch(d*x+c)^2/(a-b*sinh(d*x+c)^4)^3,x)","\text{Expression too large to display}"," ",0,"153/2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/a^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^7*b^3-2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^3*b^2+153/2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/a^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^9*b^3-2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^13*b^2-7/2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)/a*tanh(1/2*d*x+1/2*c)^11*b^2-7/2/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)/a*tanh(1/2*d*x+1/2*c)^5*b^2+25/4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/a*b^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^7+25/4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/a*b^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^9-52/d*b^4/a^3/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^7-52/d*b^4/a^3/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^9+17/4/d*b^3/a^2/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^13+17/4/d*b^3/a^2/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^3-45/8/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^13-45/8/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^3-1/2/d/a^3*tanh(1/2*d*x+1/2*c)-1/2/d/a^3/tanh(1/2*d*x+1/2*c)+9/8/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)*b+81/8/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^5-45/8/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^7-45/8/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^9+81/8/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^11-3/4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b^2/a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^15-3/64/d*b/a^3/(a^2-2*a*b+b^2)*sum((a*(-3*a+2*b)*_R^6+(49*a^2-72*a*b+30*b^2)*_R^4+(-49*a^2+72*a*b-30*b^2)*_R^2+3*a^2-2*a*b)/(_R^7*a-3*_R^5*a+3*_R^3*a-8*_R^3*b-_R*a)*ln(tanh(1/2*d*x+1/2*c)-_R),_R=RootOf(a*_Z^8-4*a*_Z^6+(6*a-16*b)*_Z^4-4*a*_Z^2+a))+9/8/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^15*b-3/4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2*b^2/a/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)-19/4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/a^2*b^3/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^5-19/4/d/(tanh(1/2*d*x+1/2*c)^8*a-4*tanh(1/2*d*x+1/2*c)^6*a+6*tanh(1/2*d*x+1/2*c)^4*a-16*b*tanh(1/2*d*x+1/2*c)^4-4*tanh(1/2*d*x+1/2*c)^2*a+a)^2/a^2*b^3/(a^2-2*a*b+b^2)*tanh(1/2*d*x+1/2*c)^11","C"
265,1,55,17,0.041000," ","int(1/(1-sinh(x)^4),x)","\frac{\sqrt{2}\, \arctanh \left(\frac{\left(2 \tanh \left(\frac{x}{2}\right)-2\right) \sqrt{2}}{4}\right)}{4}+\frac{\sqrt{2}\, \arctanh \left(\frac{\left(2 \tanh \left(\frac{x}{2}\right)+2\right) \sqrt{2}}{4}\right)}{4}+\frac{\tanh \left(\frac{x}{2}\right)}{\tanh^{2}\left(\frac{x}{2}\right)+1}"," ",0,"1/4*2^(1/2)*arctanh(1/4*(2*tanh(1/2*x)-2)*2^(1/2))+1/4*2^(1/2)*arctanh(1/4*(2*tanh(1/2*x)+2)*2^(1/2))+tanh(1/2*x)/(tanh(1/2*x)^2+1)","B"
266,1,44,124,0.054000," ","int(1/(1+sinh(x)^4),x)","\frac{\left(\munderset{\textit{\_R} =\RootOf \left(2 \textit{\_Z}^{4}-2 \textit{\_Z}^{2}+1\right)}{\sum}\textit{\_R} \ln \left(\tanh^{2}\left(\frac{x}{2}\right)+\left(-4 \textit{\_R}^{3}+4 \textit{\_R} \right) \tanh \left(\frac{x}{2}\right)+1\right)\right)}{4}"," ",0,"1/4*sum(_R*ln(tanh(1/2*x)^2+(-4*_R^3+4*_R)*tanh(1/2*x)+1),_R=RootOf(2*_Z^4-2*_Z^2+1))","C"
267,1,113,280,0.063000," ","int(1/(a+b*sinh(x)^5),x)","\frac{\left(\munderset{\textit{\_R} =\RootOf \left(a \,\textit{\_Z}^{10}-5 a \,\textit{\_Z}^{8}+10 a \,\textit{\_Z}^{6}-32 b \,\textit{\_Z}^{5}-10 a \,\textit{\_Z}^{4}+5 a \,\textit{\_Z}^{2}-a \right)}{\sum}\frac{\left(-\textit{\_R}^{8}+4 \textit{\_R}^{6}-6 \textit{\_R}^{4}+4 \textit{\_R}^{2}-1\right) \ln \left(\tanh \left(\frac{x}{2}\right)-\textit{\_R} \right)}{\textit{\_R}^{9} a -4 \textit{\_R}^{7} a +6 \textit{\_R}^{5} a -16 \textit{\_R}^{4} b -4 \textit{\_R}^{3} a +\textit{\_R} a}\right)}{5}"," ",0,"1/5*sum((-_R^8+4*_R^6-6*_R^4+4*_R^2-1)/(_R^9*a-4*_R^7*a+6*_R^5*a-16*_R^4*b-4*_R^3*a+_R*a)*ln(tanh(1/2*x)-_R),_R=RootOf(_Z^10*a-5*_Z^8*a+10*_Z^6*a-32*_Z^5*b-10*_Z^4*a+5*_Z^2*a-a))","C"
268,1,128,113,0.057000," ","int(1/(a+b*sinh(x)^6),x)","\frac{\left(\munderset{\textit{\_R} =\RootOf \left(a \,\textit{\_Z}^{12}-6 a \,\textit{\_Z}^{10}+15 a \,\textit{\_Z}^{8}+\left(-20 a +64 b \right) \textit{\_Z}^{6}+15 a \,\textit{\_Z}^{4}-6 a \,\textit{\_Z}^{2}+a \right)}{\sum}\frac{\left(-\textit{\_R}^{10}+5 \textit{\_R}^{8}-10 \textit{\_R}^{6}+10 \textit{\_R}^{4}-5 \textit{\_R}^{2}+1\right) \ln \left(\tanh \left(\frac{x}{2}\right)-\textit{\_R} \right)}{\textit{\_R}^{11} a -5 \textit{\_R}^{9} a +10 \textit{\_R}^{7} a -10 \textit{\_R}^{5} a +32 \textit{\_R}^{5} b +5 \textit{\_R}^{3} a -\textit{\_R} a}\right)}{6}"," ",0,"1/6*sum((-_R^10+5*_R^8-10*_R^6+10*_R^4-5*_R^2+1)/(_R^11*a-5*_R^9*a+10*_R^7*a-10*_R^5*a+32*_R^5*b+5*_R^3*a-_R*a)*ln(tanh(1/2*x)-_R),_R=RootOf(a*_Z^12-6*a*_Z^10+15*a*_Z^8+(-20*a+64*b)*_Z^6+15*a*_Z^4-6*a*_Z^2+a))","C"
269,1,162,169,0.063000," ","int(1/(a+b*sinh(x)^8),x)","\frac{\left(\munderset{\textit{\_R} =\RootOf \left(a \,\textit{\_Z}^{16}-8 a \,\textit{\_Z}^{14}+28 a \,\textit{\_Z}^{12}-56 a \,\textit{\_Z}^{10}+\left(70 a +256 b \right) \textit{\_Z}^{8}-56 a \,\textit{\_Z}^{6}+28 a \,\textit{\_Z}^{4}-8 a \,\textit{\_Z}^{2}+a \right)}{\sum}\frac{\left(-\textit{\_R}^{14}+7 \textit{\_R}^{12}-21 \textit{\_R}^{10}+35 \textit{\_R}^{8}-35 \textit{\_R}^{6}+21 \textit{\_R}^{4}-7 \textit{\_R}^{2}+1\right) \ln \left(\tanh \left(\frac{x}{2}\right)-\textit{\_R} \right)}{\textit{\_R}^{15} a -7 \textit{\_R}^{13} a +21 \textit{\_R}^{11} a -35 \textit{\_R}^{9} a +35 \textit{\_R}^{7} a +128 \textit{\_R}^{7} b -21 \textit{\_R}^{5} a +7 \textit{\_R}^{3} a -\textit{\_R} a}\right)}{8}"," ",0,"1/8*sum((-_R^14+7*_R^12-21*_R^10+35*_R^8-35*_R^6+21*_R^4-7*_R^2+1)/(_R^15*a-7*_R^13*a+21*_R^11*a-35*_R^9*a+35*_R^7*a+128*_R^7*b-21*_R^5*a+7*_R^3*a-_R*a)*ln(tanh(1/2*x)-_R),_R=RootOf(a*_Z^16-8*a*_Z^14+28*a*_Z^12-56*a*_Z^10+(70*a+256*b)*_Z^8-56*a*_Z^6+28*a*_Z^4-8*a*_Z^2+a))","C"
270,1,124,164,0.068000," ","int(1/(1+sinh(x)^5),x)","\frac{2 \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{8}+2 \textit{\_Z}^{7}+2 \textit{\_Z}^{5}+14 \textit{\_Z}^{4}-2 \textit{\_Z}^{3}-2 \textit{\_Z} +1\right)}{\sum}\frac{\left(-2 \textit{\_R}^{6}-3 \textit{\_R}^{5}+2 \textit{\_R}^{4}+2 \textit{\_R}^{3}-2 \textit{\_R}^{2}-3 \textit{\_R} +2\right) \ln \left(\tanh \left(\frac{x}{2}\right)-\textit{\_R} \right)}{4 \textit{\_R}^{7}+7 \textit{\_R}^{6}+5 \textit{\_R}^{4}+28 \textit{\_R}^{3}-3 \textit{\_R}^{2}-1}\right)}{5}+\frac{\sqrt{2}\, \arctanh \left(\frac{\left(2 \tanh \left(\frac{x}{2}\right)-2\right) \sqrt{2}}{4}\right)}{5}"," ",0,"2/5*sum((-2*_R^6-3*_R^5+2*_R^4+2*_R^3-2*_R^2-3*_R+2)/(4*_R^7+7*_R^6+5*_R^4+28*_R^3-3*_R^2-1)*ln(tanh(1/2*x)-_R),_R=RootOf(_Z^8+2*_Z^7+2*_Z^5+14*_Z^4-2*_Z^3-2*_Z+1))+1/5*2^(1/2)*arctanh(1/4*(2*tanh(1/2*x)-2)*2^(1/2))","C"
271,1,61,49,0.062000," ","int(1/(1+sinh(x)^6),x)","\frac{\left(\munderset{\textit{\_R} =\RootOf \left(3 \textit{\_Z}^{4}-3 \textit{\_Z}^{2}+1\right)}{\sum}\textit{\_R} \ln \left(\tanh^{2}\left(\frac{x}{2}\right)+\left(-6 \textit{\_R}^{3}+6 \textit{\_R} \right) \tanh \left(\frac{x}{2}\right)+1\right)\right)}{6}+\frac{2 \tanh \left(\frac{x}{2}\right)}{3 \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)}"," ",0,"1/6*sum(_R*ln(tanh(1/2*x)^2+(-6*_R^3+6*_R)*tanh(1/2*x)+1),_R=RootOf(3*_Z^4-3*_Z^2+1))+2/3*tanh(1/2*x)/(tanh(1/2*x)^2+1)","C"
272,1,64,89,0.068000," ","int(1/(1+sinh(x)^8),x)","\frac{\left(\munderset{\textit{\_R} =\RootOf \left(2 \textit{\_Z}^{8}-4 \textit{\_Z}^{6}+6 \textit{\_Z}^{4}-4 \textit{\_Z}^{2}+1\right)}{\sum}\textit{\_R} \ln \left(\tanh^{2}\left(\frac{x}{2}\right)+\left(-4 \textit{\_R}^{7}+8 \textit{\_R}^{5}-12 \textit{\_R}^{3}+8 \textit{\_R} \right) \tanh \left(\frac{x}{2}\right)+1\right)\right)}{8}"," ",0,"1/8*sum(_R*ln(tanh(1/2*x)^2+(-4*_R^7+8*_R^5-12*_R^3+8*_R)*tanh(1/2*x)+1),_R=RootOf(2*_Z^8-4*_Z^6+6*_Z^4-4*_Z^2+1))","C"
273,1,124,154,0.070000," ","int(1/(1-sinh(x)^5),x)","\frac{2 \left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{8}-2 \textit{\_Z}^{7}-2 \textit{\_Z}^{5}+14 \textit{\_Z}^{4}+2 \textit{\_Z}^{3}+2 \textit{\_Z} +1\right)}{\sum}\frac{\left(-2 \textit{\_R}^{6}+3 \textit{\_R}^{5}+2 \textit{\_R}^{4}-2 \textit{\_R}^{3}-2 \textit{\_R}^{2}+3 \textit{\_R} +2\right) \ln \left(\tanh \left(\frac{x}{2}\right)-\textit{\_R} \right)}{4 \textit{\_R}^{7}-7 \textit{\_R}^{6}-5 \textit{\_R}^{4}+28 \textit{\_R}^{3}+3 \textit{\_R}^{2}+1}\right)}{5}+\frac{\sqrt{2}\, \arctanh \left(\frac{\left(2 \tanh \left(\frac{x}{2}\right)+2\right) \sqrt{2}}{4}\right)}{5}"," ",0,"2/5*sum((-2*_R^6+3*_R^5+2*_R^4-2*_R^3-2*_R^2+3*_R+2)/(4*_R^7-7*_R^6-5*_R^4+28*_R^3+3*_R^2+1)*ln(tanh(1/2*x)-_R),_R=RootOf(_Z^8-2*_Z^7-2*_Z^5+14*_Z^4+2*_Z^3+2*_Z+1))+1/5*2^(1/2)*arctanh(1/4*(2*tanh(1/2*x)+2)*2^(1/2))","C"
274,1,160,57,0.056000," ","int(1/(1-sinh(x)^6),x)","\frac{\left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{4}+2 \textit{\_Z}^{3}+2 \textit{\_Z}^{2}-2 \textit{\_Z} +1\right)}{\sum}\frac{\left(-\textit{\_R}^{2}-\textit{\_R} +1\right) \ln \left(\tanh \left(\frac{x}{2}\right)-\textit{\_R} \right)}{2 \textit{\_R}^{3}+3 \textit{\_R}^{2}+2 \textit{\_R} -1}\right)}{3}+\frac{\sqrt{2}\, \arctanh \left(\frac{\left(2 \tanh \left(\frac{x}{2}\right)-2\right) \sqrt{2}}{4}\right)}{6}+\frac{\sqrt{2}\, \arctanh \left(\frac{\left(2 \tanh \left(\frac{x}{2}\right)+2\right) \sqrt{2}}{4}\right)}{6}+\frac{\left(\munderset{\textit{\_R} =\RootOf \left(\textit{\_Z}^{4}-2 \textit{\_Z}^{3}+2 \textit{\_Z}^{2}+2 \textit{\_Z} +1\right)}{\sum}\frac{\left(-\textit{\_R}^{2}+\textit{\_R} +1\right) \ln \left(\tanh \left(\frac{x}{2}\right)-\textit{\_R} \right)}{2 \textit{\_R}^{3}-3 \textit{\_R}^{2}+2 \textit{\_R} +1}\right)}{3}"," ",0,"1/3*sum((-_R^2-_R+1)/(2*_R^3+3*_R^2+2*_R-1)*ln(tanh(1/2*x)-_R),_R=RootOf(_Z^4+2*_Z^3+2*_Z^2-2*_Z+1))+1/6*2^(1/2)*arctanh(1/4*(2*tanh(1/2*x)-2)*2^(1/2))+1/6*2^(1/2)*arctanh(1/4*(2*tanh(1/2*x)+2)*2^(1/2))+1/3*sum((-_R^2+_R+1)/(2*_R^3-3*_R^2+2*_R+1)*ln(tanh(1/2*x)-_R),_R=RootOf(_Z^4-2*_Z^3+2*_Z^2+2*_Z+1))","C"
275,1,99,49,0.053000," ","int(1/(1-sinh(x)^8),x)","\frac{\sqrt{2}\, \arctanh \left(\frac{\left(2 \tanh \left(\frac{x}{2}\right)-2\right) \sqrt{2}}{4}\right)}{8}+\frac{\left(\munderset{\textit{\_R} =\RootOf \left(2 \textit{\_Z}^{4}-2 \textit{\_Z}^{2}+1\right)}{\sum}\textit{\_R} \ln \left(\tanh^{2}\left(\frac{x}{2}\right)+\left(-4 \textit{\_R}^{3}+4 \textit{\_R} \right) \tanh \left(\frac{x}{2}\right)+1\right)\right)}{8}+\frac{\sqrt{2}\, \arctanh \left(\frac{\left(2 \tanh \left(\frac{x}{2}\right)+2\right) \sqrt{2}}{4}\right)}{8}+\frac{\tanh \left(\frac{x}{2}\right)}{2 \left(\tanh^{2}\left(\frac{x}{2}\right)\right)+2}"," ",0,"1/8*2^(1/2)*arctanh(1/4*(2*tanh(1/2*x)-2)*2^(1/2))+1/8*sum(_R*ln(tanh(1/2*x)^2+(-4*_R^3+4*_R)*tanh(1/2*x)+1),_R=RootOf(2*_Z^4-2*_Z^2+1))+1/8*2^(1/2)*arctanh(1/4*(2*tanh(1/2*x)+2)*2^(1/2))+1/2*tanh(1/2*x)/(tanh(1/2*x)^2+1)","C"
276,1,67,16,0.049000," ","int(cosh(x)^5/(a+a*sinh(x)^2),x)","\frac{-\frac{1}{3 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{3}}-\frac{1}{2 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{1}{\tanh \left(\frac{x}{2}\right)-1}-\frac{1}{3 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{3}}+\frac{1}{2 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{1}{\tanh \left(\frac{x}{2}\right)+1}}{a}"," ",0,"2/a*(-1/6/(tanh(1/2*x)-1)^3-1/4/(tanh(1/2*x)-1)^2-1/2/(tanh(1/2*x)-1)-1/6/(tanh(1/2*x)+1)^3+1/4/(tanh(1/2*x)+1)^2-1/2/(tanh(1/2*x)+1))","B"
277,1,78,16,0.045000," ","int(cosh(x)^4/(a+a*sinh(x)^2),x)","\frac{1}{2 a \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}+\frac{1}{2 a \left(\tanh \left(\frac{x}{2}\right)-1\right)}-\frac{\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2 a}-\frac{1}{2 a \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}+\frac{1}{2 a \left(\tanh \left(\frac{x}{2}\right)+1\right)}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2 a}"," ",0,"1/2/a/(tanh(1/2*x)-1)^2+1/2/a/(tanh(1/2*x)-1)-1/2/a*ln(tanh(1/2*x)-1)-1/2/a/(tanh(1/2*x)+1)^2+1/2/a/(tanh(1/2*x)+1)+1/2/a*ln(tanh(1/2*x)+1)","B"
278,1,7,6,0.030000," ","int(cosh(x)^3/(a+a*sinh(x)^2),x)","\frac{\sinh \left(x \right)}{a}"," ",0,"sinh(x)/a","A"
279,1,11,5,0.038000," ","int(cosh(x)^2/(a+a*sinh(x)^2),x)","\frac{2 \arctanh \left(\tanh \left(\frac{x}{2}\right)\right)}{a}"," ",0,"2/a*arctanh(tanh(1/2*x))","C"
280,1,8,7,0.025000," ","int(cosh(x)/(a+a*sinh(x)^2),x)","\frac{\arctan \left(\sinh \left(x \right)\right)}{a}"," ",0,"arctan(sinh(x))/a","A"
281,1,50,18,0.051000," ","int(sech(x)/(a+a*sinh(x)^2),x)","-\frac{\tanh^{3}\left(\frac{x}{2}\right)}{a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}+\frac{\tanh \left(\frac{x}{2}\right)}{a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{2}}+\frac{\arctan \left(\tanh \left(\frac{x}{2}\right)\right)}{a}"," ",0,"-1/a/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)^3+1/a/(tanh(1/2*x)^2+1)^2*tanh(1/2*x)+1/a*arctan(tanh(1/2*x))","B"
282,1,94,29,0.060000," ","int(sech(x)^3/(a+a*sinh(x)^2),x)","-\frac{5 \left(\tanh^{7}\left(\frac{x}{2}\right)\right)}{4 a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}+\frac{3 \left(\tanh^{5}\left(\frac{x}{2}\right)\right)}{4 a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}-\frac{3 \left(\tanh^{3}\left(\frac{x}{2}\right)\right)}{4 a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}+\frac{5 \tanh \left(\frac{x}{2}\right)}{4 a \left(\tanh^{2}\left(\frac{x}{2}\right)+1\right)^{4}}+\frac{3 \arctan \left(\tanh \left(\frac{x}{2}\right)\right)}{4 a}"," ",0,"-5/4/a/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^7+3/4/a/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^5-3/4/a/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)^3+5/4/a/(tanh(1/2*x)^2+1)^4*tanh(1/2*x)+3/4/a*arctan(tanh(1/2*x))","B"
283,1,95,81,0.137000," ","int(cosh(d*x+c)^4*(a+b*sinh(d*x+c)^2),x)","\frac{b \left(\frac{\sinh \left(d x +c \right) \left(\cosh^{5}\left(d x +c \right)\right)}{6}-\frac{\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)}{6}-\frac{d x}{16}-\frac{c}{16}\right)+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)}{d}"," ",0,"1/d*(b*(1/6*sinh(d*x+c)*cosh(d*x+c)^5-1/6*(1/4*cosh(d*x+c)^3+3/8*cosh(d*x+c))*sinh(d*x+c)-1/16*d*x-1/16*c)+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))","A"
284,1,65,42,0.128000," ","int(cosh(d*x+c)^3*(a+b*sinh(d*x+c)^2),x)","\frac{b \left(\frac{\sinh \left(d x +c \right) \left(\cosh^{4}\left(d x +c \right)\right)}{5}-\frac{\left(\frac{2}{3}+\frac{\left(\cosh^{2}\left(d x +c \right)\right)}{3}\right) \sinh \left(d x +c \right)}{5}\right)+a \left(\frac{2}{3}+\frac{\left(\cosh^{2}\left(d x +c \right)\right)}{3}\right) \sinh \left(d x +c \right)}{d}"," ",0,"1/d*(b*(1/5*sinh(d*x+c)*cosh(d*x+c)^4-1/5*(2/3+1/3*cosh(d*x+c)^2)*sinh(d*x+c))+a*(2/3+1/3*cosh(d*x+c)^2)*sinh(d*x+c))","A"
285,1,70,55,0.067000," ","int(cosh(d*x+c)^2*(a+b*sinh(d*x+c)^2),x)","\frac{b \left(\frac{\sinh \left(d x +c \right) \left(\cosh^{3}\left(d x +c \right)\right)}{4}-\frac{\cosh \left(d x +c \right) \sinh \left(d x +c \right)}{8}-\frac{d x}{8}-\frac{c}{8}\right)+a \left(\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*(b*(1/4*sinh(d*x+c)*cosh(d*x+c)^3-1/8*cosh(d*x+c)*sinh(d*x+c)-1/8*d*x-1/8*c)+a*(1/2*cosh(d*x+c)*sinh(d*x+c)+1/2*d*x+1/2*c))","A"
286,1,25,26,0.033000," ","int(cosh(d*x+c)*(a+b*sinh(d*x+c)^2),x)","\frac{\frac{b \left(\sinh^{3}\left(d x +c \right)\right)}{3}+a \sinh \left(d x +c \right)}{d}"," ",0,"1/d*(1/3*b*sinh(d*x+c)^3+a*sinh(d*x+c))","A"
287,1,39,28,0.063000," ","int(sech(d*x+c)*(a+b*sinh(d*x+c)^2),x)","\frac{b \sinh \left(d x +c \right)}{d}+\frac{2 a \arctan \left({\mathrm e}^{d x +c}\right)}{d}-\frac{2 b \arctan \left({\mathrm e}^{d x +c}\right)}{d}"," ",0,"b*sinh(d*x+c)/d+2/d*a*arctan(exp(d*x+c))-2/d*b*arctan(exp(d*x+c))","A"
288,1,29,19,0.148000," ","int(sech(d*x+c)^2*(a+b*sinh(d*x+c)^2),x)","\frac{\tanh \left(d x +c \right) a +b \left(d x +c -\tanh \left(d x +c \right)\right)}{d}"," ",0,"1/d*(tanh(d*x+c)*a+b*(d*x+c-tanh(d*x+c)))","A"
289,1,82,38,0.086000," ","int(sech(d*x+c)^3*(a+b*sinh(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 \sinh \left(d x +c \right)}{d \cosh \left(d x +c \right)^{2}}+\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,"1/2/d*a*sech(d*x+c)*tanh(d*x+c)+1/d*a*arctan(exp(d*x+c))-1/d*b*sinh(d*x+c)/cosh(d*x+c)^2+1/2/d*b*sech(d*x+c)*tanh(d*x+c)+1/d*b*arctan(exp(d*x+c))","B"
290,1,65,30,0.098000," ","int(sech(d*x+c)^4*(a+b*sinh(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{\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*(2/3+1/3*sech(d*x+c)^2)*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)))","B"
291,1,124,64,0.097000," ","int(sech(d*x+c)^5*(a+b*sinh(d*x+c)^2),x)","\frac{a \tanh \left(d x +c \right) \mathrm{sech}\left(d x +c \right)^{3}}{4 d}+\frac{3 a \,\mathrm{sech}\left(d x +c \right) \tanh \left(d x +c \right)}{8 d}+\frac{3 a \arctan \left({\mathrm e}^{d x +c}\right)}{4 d}-\frac{b \sinh \left(d x +c \right)}{3 d \cosh \left(d x +c \right)^{4}}+\frac{b \tanh \left(d x +c \right) \mathrm{sech}\left(d x +c \right)^{3}}{12 d}+\frac{b \,\mathrm{sech}\left(d x +c \right) \tanh \left(d x +c \right)}{8 d}+\frac{b \arctan \left({\mathrm e}^{d x +c}\right)}{4 d}"," ",0,"1/4/d*a*tanh(d*x+c)*sech(d*x+c)^3+3/8/d*a*sech(d*x+c)*tanh(d*x+c)+3/4/d*a*arctan(exp(d*x+c))-1/3/d*b*sinh(d*x+c)/cosh(d*x+c)^4+1/12/d*b*tanh(d*x+c)*sech(d*x+c)^3+1/8/d*b*sech(d*x+c)*tanh(d*x+c)+1/4/d*b*arctan(exp(d*x+c))","A"
292,1,85,50,0.129000," ","int(sech(d*x+c)^6*(a+b*sinh(d*x+c)^2),x)","\frac{a \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 \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*(8/15+1/5*sech(d*x+c)^4+4/15*sech(d*x+c)^2)*tanh(d*x+c)+b*(-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"
293,1,172,149,0.082000," ","int(cosh(d*x+c)^4*(a+b*sinh(d*x+c)^2)^2,x)","\frac{b^{2} \left(\frac{\left(\sinh^{3}\left(d x +c \right)\right) \left(\cosh^{5}\left(d x +c \right)\right)}{8}-\frac{\sinh \left(d x +c \right) \left(\cosh^{5}\left(d x +c \right)\right)}{16}+\frac{\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)}{16}+\frac{3 d x}{128}+\frac{3 c}{128}\right)+2 a b \left(\frac{\sinh \left(d x +c \right) \left(\cosh^{5}\left(d x +c \right)\right)}{6}-\frac{\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)}{6}-\frac{d x}{16}-\frac{c}{16}\right)+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)}{d}"," ",0,"1/d*(b^2*(1/8*sinh(d*x+c)^3*cosh(d*x+c)^5-1/16*sinh(d*x+c)*cosh(d*x+c)^5+1/16*(1/4*cosh(d*x+c)^3+3/8*cosh(d*x+c))*sinh(d*x+c)+3/128*d*x+3/128*c)+2*a*b*(1/6*sinh(d*x+c)*cosh(d*x+c)^5-1/6*(1/4*cosh(d*x+c)^3+3/8*cosh(d*x+c))*sinh(d*x+c)-1/16*d*x-1/16*c)+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))","A"
294,1,128,68,0.082000," ","int(cosh(d*x+c)^3*(a+b*sinh(d*x+c)^2)^2,x)","\frac{b^{2} \left(\frac{\left(\sinh^{3}\left(d x +c \right)\right) \left(\cosh^{4}\left(d x +c \right)\right)}{7}-\frac{3 \sinh \left(d x +c \right) \left(\cosh^{4}\left(d x +c \right)\right)}{35}+\frac{3 \left(\frac{2}{3}+\frac{\left(\cosh^{2}\left(d x +c \right)\right)}{3}\right) \sinh \left(d x +c \right)}{35}\right)+2 a b \left(\frac{\sinh \left(d x +c \right) \left(\cosh^{4}\left(d x +c \right)\right)}{5}-\frac{\left(\frac{2}{3}+\frac{\left(\cosh^{2}\left(d x +c \right)\right)}{3}\right) \sinh \left(d x +c \right)}{5}\right)+a^{2} \left(\frac{2}{3}+\frac{\left(\cosh^{2}\left(d x +c \right)\right)}{3}\right) \sinh \left(d x +c \right)}{d}"," ",0,"1/d*(b^2*(1/7*sinh(d*x+c)^3*cosh(d*x+c)^4-3/35*sinh(d*x+c)*cosh(d*x+c)^4+3/35*(2/3+1/3*cosh(d*x+c)^2)*sinh(d*x+c))+2*a*b*(1/5*sinh(d*x+c)*cosh(d*x+c)^4-1/5*(2/3+1/3*cosh(d*x+c)^2)*sinh(d*x+c))+a^2*(2/3+1/3*cosh(d*x+c)^2)*sinh(d*x+c))","A"
295,1,134,111,0.076000," ","int(cosh(d*x+c)^2*(a+b*sinh(d*x+c)^2)^2,x)","\frac{b^{2} \left(\frac{\left(\sinh^{3}\left(d x +c \right)\right) \left(\cosh^{3}\left(d x +c \right)\right)}{6}-\frac{\sinh \left(d x +c \right) \left(\cosh^{3}\left(d x +c \right)\right)}{8}+\frac{\cosh \left(d x +c \right) \sinh \left(d x +c \right)}{16}+\frac{d x}{16}+\frac{c}{16}\right)+2 a b \left(\frac{\sinh \left(d x +c \right) \left(\cosh^{3}\left(d x +c \right)\right)}{4}-\frac{\cosh \left(d x +c \right) \sinh \left(d x +c \right)}{8}-\frac{d x}{8}-\frac{c}{8}\right)+a^{2} \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*(b^2*(1/6*sinh(d*x+c)^3*cosh(d*x+c)^3-1/8*sinh(d*x+c)*cosh(d*x+c)^3+1/16*cosh(d*x+c)*sinh(d*x+c)+1/16*d*x+1/16*c)+2*a*b*(1/4*sinh(d*x+c)*cosh(d*x+c)^3-1/8*cosh(d*x+c)*sinh(d*x+c)-1/8*d*x-1/8*c)+a^2*(1/2*cosh(d*x+c)*sinh(d*x+c)+1/2*d*x+1/2*c))","A"
296,1,41,45,0.041000," ","int(cosh(d*x+c)*(a+b*sinh(d*x+c)^2)^2,x)","\frac{\frac{b^{2} \left(\sinh^{5}\left(d x +c \right)\right)}{5}+\frac{2 a \left(\sinh^{3}\left(d x +c \right)\right) b}{3}+a^{2} \sinh \left(d x +c \right)}{d}"," ",0,"1/d*(1/5*b^2*sinh(d*x+c)^5+2/3*a*sinh(d*x+c)^3*b+a^2*sinh(d*x+c))","A"
297,1,89,53,0.086000," ","int(sech(d*x+c)*(a+b*sinh(d*x+c)^2)^2,x)","\frac{2 a^{2} \arctan \left({\mathrm e}^{d x +c}\right)}{d}+\frac{2 a b \sinh \left(d x +c \right)}{d}-\frac{4 a b \arctan \left({\mathrm e}^{d x +c}\right)}{d}+\frac{b^{2} \left(\sinh^{3}\left(d x +c \right)\right)}{3 d}-\frac{b^{2} \sinh \left(d x +c \right)}{d}+\frac{2 b^{2} \arctan \left({\mathrm e}^{d x +c}\right)}{d}"," ",0,"2/d*a^2*arctan(exp(d*x+c))+2/d*a*b*sinh(d*x+c)-4/d*a*b*arctan(exp(d*x+c))+1/3*b^2*sinh(d*x+c)^3/d-b^2*sinh(d*x+c)/d+2/d*b^2*arctan(exp(d*x+c))","A"
298,1,71,49,0.093000," ","int(sech(d*x+c)^2*(a+b*sinh(d*x+c)^2)^2,x)","\frac{a^{2} \tanh \left(d x +c \right)+2 a b \left(d x +c -\tanh \left(d x +c \right)\right)+b^{2} \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^2*tanh(d*x+c)+2*a*b*(d*x+c-tanh(d*x+c))+b^2*(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"
299,1,169,60,0.105000," ","int(sech(d*x+c)^3*(a+b*sinh(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{2 a b \sinh \left(d x +c \right)}{d \cosh \left(d x +c \right)^{2}}+\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} \left(\sinh^{3}\left(d x +c \right)\right)}{d \cosh \left(d x +c \right)^{2}}+\frac{3 b^{2} \sinh \left(d x +c \right)}{d \cosh \left(d x +c \right)^{2}}-\frac{3 b^{2} \mathrm{sech}\left(d x +c \right) \tanh \left(d x +c \right)}{2 d}-\frac{3 b^{2} \arctan \left({\mathrm e}^{d x +c}\right)}{d}"," ",0,"1/2/d*a^2*sech(d*x+c)*tanh(d*x+c)+1/d*a^2*arctan(exp(d*x+c))-2/d*a*b*sinh(d*x+c)/cosh(d*x+c)^2+1/d*a*b*sech(d*x+c)*tanh(d*x+c)+2/d*a*b*arctan(exp(d*x+c))+1/d*b^2*sinh(d*x+c)^3/cosh(d*x+c)^2+3/d*b^2*sinh(d*x+c)/cosh(d*x+c)^2-3/2/d*b^2*sech(d*x+c)*tanh(d*x+c)-3/d*b^2*arctan(exp(d*x+c))","B"
300,1,96,45,0.114000," ","int(sech(d*x+c)^4*(a+b*sinh(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{\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(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*(2/3+1/3*sech(d*x+c)^2)*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*(d*x+c-tanh(d*x+c)-1/3*tanh(d*x+c)^3))","B"
301,1,237,90,0.117000," ","int(sech(d*x+c)^5*(a+b*sinh(d*x+c)^2)^2,x)","\frac{a^{2} \tanh \left(d x +c \right) \mathrm{sech}\left(d x +c \right)^{3}}{4 d}+\frac{3 a^{2} \mathrm{sech}\left(d x +c \right) \tanh \left(d x +c \right)}{8 d}+\frac{3 a^{2} \arctan \left({\mathrm e}^{d x +c}\right)}{4 d}-\frac{2 a b \sinh \left(d x +c \right)}{3 d \cosh \left(d x +c \right)^{4}}+\frac{a b \tanh \left(d x +c \right) \mathrm{sech}\left(d x +c \right)^{3}}{6 d}+\frac{a b \,\mathrm{sech}\left(d x +c \right) \tanh \left(d x +c \right)}{4 d}+\frac{a b \arctan \left({\mathrm e}^{d x +c}\right)}{2 d}-\frac{b^{2} \left(\sinh^{3}\left(d x +c \right)\right)}{d \cosh \left(d x +c \right)^{4}}-\frac{b^{2} \sinh \left(d x +c \right)}{d \cosh \left(d x +c \right)^{4}}+\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,"1/4/d*a^2*tanh(d*x+c)*sech(d*x+c)^3+3/8/d*a^2*sech(d*x+c)*tanh(d*x+c)+3/4/d*a^2*arctan(exp(d*x+c))-2/3/d*a*b*sinh(d*x+c)/cosh(d*x+c)^4+1/6/d*a*b*tanh(d*x+c)*sech(d*x+c)^3+1/4/d*a*b*sech(d*x+c)*tanh(d*x+c)+1/2/d*a*b*arctan(exp(d*x+c))-1/d*b^2*sinh(d*x+c)^3/cosh(d*x+c)^4-1/d*b^2*sinh(d*x+c)/cosh(d*x+c)^4+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))","B"
302,1,158,53,0.120000," ","int(sech(d*x+c)^6*(a+b*sinh(d*x+c)^2)^2,x)","\frac{a^{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)+2 a b \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^{2} \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^2*(8/15+1/5*sech(d*x+c)^4+4/15*sech(d*x+c)^2)*tanh(d*x+c)+2*a*b*(-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^2*(-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"
303,1,302,123,0.180000," ","int(sech(d*x+c)^7*(a+b*sinh(d*x+c)^2)^2,x)","\frac{a^{2} \tanh \left(d x +c \right) \mathrm{sech}\left(d x +c \right)^{5}}{6 d}+\frac{5 a^{2} \tanh \left(d x +c \right) \mathrm{sech}\left(d x +c \right)^{3}}{24 d}+\frac{5 a^{2} \mathrm{sech}\left(d x +c \right) \tanh \left(d x +c \right)}{16 d}+\frac{5 a^{2} \arctan \left({\mathrm e}^{d x +c}\right)}{8 d}-\frac{2 a b \sinh \left(d x +c \right)}{5 d \cosh \left(d x +c \right)^{6}}+\frac{a b \tanh \left(d x +c \right) \mathrm{sech}\left(d x +c \right)^{5}}{15 d}+\frac{a b \tanh \left(d x +c \right) \mathrm{sech}\left(d x +c \right)^{3}}{12 d}+\frac{a b \,\mathrm{sech}\left(d x +c \right) \tanh \left(d x +c \right)}{8 d}+\frac{a b \arctan \left({\mathrm e}^{d x +c}\right)}{4 d}-\frac{b^{2} \left(\sinh^{3}\left(d x +c \right)\right)}{3 d \cosh \left(d x +c \right)^{6}}-\frac{b^{2} \sinh \left(d x +c \right)}{5 d \cosh \left(d x +c \right)^{6}}+\frac{b^{2} \tanh \left(d x +c \right) \mathrm{sech}\left(d x +c \right)^{5}}{30 d}+\frac{b^{2} \tanh \left(d x +c \right) \mathrm{sech}\left(d x +c \right)^{3}}{24 d}+\frac{b^{2} \mathrm{sech}\left(d x +c \right) \tanh \left(d x +c \right)}{16 d}+\frac{b^{2} \arctan \left({\mathrm e}^{d x +c}\right)}{8 d}"," ",0,"1/6/d*a^2*tanh(d*x+c)*sech(d*x+c)^5+5/24/d*a^2*tanh(d*x+c)*sech(d*x+c)^3+5/16/d*a^2*sech(d*x+c)*tanh(d*x+c)+5/8/d*a^2*arctan(exp(d*x+c))-2/5/d*a*b*sinh(d*x+c)/cosh(d*x+c)^6+1/15/d*a*b*tanh(d*x+c)*sech(d*x+c)^5+1/12/d*a*b*tanh(d*x+c)*sech(d*x+c)^3+1/8/d*a*b*sech(d*x+c)*tanh(d*x+c)+1/4/d*a*b*arctan(exp(d*x+c))-1/3/d*b^2*sinh(d*x+c)^3/cosh(d*x+c)^6-1/5/d*b^2*sinh(d*x+c)/cosh(d*x+c)^6+1/30/d*b^2*tanh(d*x+c)*sech(d*x+c)^5+1/24/d*b^2*tanh(d*x+c)*sech(d*x+c)^3+1/16/d*b^2*sech(d*x+c)*tanh(d*x+c)+1/8/d*b^2*arctan(exp(d*x+c))","B"
304,1,267,226,0.084000," ","int(cosh(d*x+c)^4*(a+b*sinh(d*x+c)^2)^3,x)","\frac{b^{3} \left(\frac{\left(\sinh^{5}\left(d x +c \right)\right) \left(\cosh^{5}\left(d x +c \right)\right)}{10}-\frac{\left(\sinh^{3}\left(d x +c \right)\right) \left(\cosh^{5}\left(d x +c \right)\right)}{16}+\frac{\sinh \left(d x +c \right) \left(\cosh^{5}\left(d x +c \right)\right)}{32}-\frac{\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)}{32}-\frac{3 d x}{256}-\frac{3 c}{256}\right)+3 a \,b^{2} \left(\frac{\left(\sinh^{3}\left(d x +c \right)\right) \left(\cosh^{5}\left(d x +c \right)\right)}{8}-\frac{\sinh \left(d x +c \right) \left(\cosh^{5}\left(d x +c \right)\right)}{16}+\frac{\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)}{16}+\frac{3 d x}{128}+\frac{3 c}{128}\right)+3 a^{2} b \left(\frac{\sinh \left(d x +c \right) \left(\cosh^{5}\left(d x +c \right)\right)}{6}-\frac{\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)}{6}-\frac{d x}{16}-\frac{c}{16}\right)+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)}{d}"," ",0,"1/d*(b^3*(1/10*sinh(d*x+c)^5*cosh(d*x+c)^5-1/16*sinh(d*x+c)^3*cosh(d*x+c)^5+1/32*sinh(d*x+c)*cosh(d*x+c)^5-1/32*(1/4*cosh(d*x+c)^3+3/8*cosh(d*x+c))*sinh(d*x+c)-3/256*d*x-3/256*c)+3*a*b^2*(1/8*sinh(d*x+c)^3*cosh(d*x+c)^5-1/16*sinh(d*x+c)*cosh(d*x+c)^5+1/16*(1/4*cosh(d*x+c)^3+3/8*cosh(d*x+c))*sinh(d*x+c)+3/128*d*x+3/128*c)+3*a^2*b*(1/6*sinh(d*x+c)*cosh(d*x+c)^5-1/6*(1/4*cosh(d*x+c)^3+3/8*cosh(d*x+c))*sinh(d*x+c)-1/16*d*x-1/16*c)+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))","A"
305,1,209,90,0.086000," ","int(cosh(d*x+c)^3*(a+b*sinh(d*x+c)^2)^3,x)","\frac{b^{3} \left(\frac{\left(\sinh^{5}\left(d x +c \right)\right) \left(\cosh^{4}\left(d x +c \right)\right)}{9}-\frac{5 \left(\sinh^{3}\left(d x +c \right)\right) \left(\cosh^{4}\left(d x +c \right)\right)}{63}+\frac{\sinh \left(d x +c \right) \left(\cosh^{4}\left(d x +c \right)\right)}{21}-\frac{\left(\frac{2}{3}+\frac{\left(\cosh^{2}\left(d x +c \right)\right)}{3}\right) \sinh \left(d x +c \right)}{21}\right)+3 a \,b^{2} \left(\frac{\left(\sinh^{3}\left(d x +c \right)\right) \left(\cosh^{4}\left(d x +c \right)\right)}{7}-\frac{3 \sinh \left(d x +c \right) \left(\cosh^{4}\left(d x +c \right)\right)}{35}+\frac{3 \left(\frac{2}{3}+\frac{\left(\cosh^{2}\left(d x +c \right)\right)}{3}\right) \sinh \left(d x +c \right)}{35}\right)+3 a^{2} b \left(\frac{\sinh \left(d x +c \right) \left(\cosh^{4}\left(d x +c \right)\right)}{5}-\frac{\left(\frac{2}{3}+\frac{\left(\cosh^{2}\left(d x +c \right)\right)}{3}\right) \sinh \left(d x +c \right)}{5}\right)+a^{3} \left(\frac{2}{3}+\frac{\left(\cosh^{2}\left(d x +c \right)\right)}{3}\right) \sinh \left(d x +c \right)}{d}"," ",0,"1/d*(b^3*(1/9*sinh(d*x+c)^5*cosh(d*x+c)^4-5/63*sinh(d*x+c)^3*cosh(d*x+c)^4+1/21*sinh(d*x+c)*cosh(d*x+c)^4-1/21*(2/3+1/3*cosh(d*x+c)^2)*sinh(d*x+c))+3*a*b^2*(1/7*sinh(d*x+c)^3*cosh(d*x+c)^4-3/35*sinh(d*x+c)*cosh(d*x+c)^4+3/35*(2/3+1/3*cosh(d*x+c)^2)*sinh(d*x+c))+3*a^2*b*(1/5*sinh(d*x+c)*cosh(d*x+c)^4-1/5*(2/3+1/3*cosh(d*x+c)^2)*sinh(d*x+c))+a^3*(2/3+1/3*cosh(d*x+c)^2)*sinh(d*x+c))","B"
306,1,216,193,0.085000," ","int(cosh(d*x+c)^2*(a+b*sinh(d*x+c)^2)^3,x)","\frac{b^{3} \left(\frac{\left(\sinh^{5}\left(d x +c \right)\right) \left(\cosh^{3}\left(d x +c \right)\right)}{8}-\frac{5 \left(\sinh^{3}\left(d x +c \right)\right) \left(\cosh^{3}\left(d x +c \right)\right)}{48}+\frac{5 \sinh \left(d x +c \right) \left(\cosh^{3}\left(d x +c \right)\right)}{64}-\frac{5 \cosh \left(d x +c \right) \sinh \left(d x +c \right)}{128}-\frac{5 d x}{128}-\frac{5 c}{128}\right)+3 a \,b^{2} \left(\frac{\left(\sinh^{3}\left(d x +c \right)\right) \left(\cosh^{3}\left(d x +c \right)\right)}{6}-\frac{\sinh \left(d x +c \right) \left(\cosh^{3}\left(d x +c \right)\right)}{8}+\frac{\cosh \left(d x +c \right) \sinh \left(d x +c \right)}{16}+\frac{d x}{16}+\frac{c}{16}\right)+3 a^{2} b \left(\frac{\sinh \left(d x +c \right) \left(\cosh^{3}\left(d x +c \right)\right)}{4}-\frac{\cosh \left(d x +c \right) \sinh \left(d x +c \right)}{8}-\frac{d x}{8}-\frac{c}{8}\right)+a^{3} \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*(b^3*(1/8*sinh(d*x+c)^5*cosh(d*x+c)^3-5/48*sinh(d*x+c)^3*cosh(d*x+c)^3+5/64*sinh(d*x+c)*cosh(d*x+c)^3-5/128*cosh(d*x+c)*sinh(d*x+c)-5/128*d*x-5/128*c)+3*a*b^2*(1/6*sinh(d*x+c)^3*cosh(d*x+c)^3-1/8*sinh(d*x+c)*cosh(d*x+c)^3+1/16*cosh(d*x+c)*sinh(d*x+c)+1/16*d*x+1/16*c)+3*a^2*b*(1/4*sinh(d*x+c)*cosh(d*x+c)^3-1/8*cosh(d*x+c)*sinh(d*x+c)-1/8*d*x-1/8*c)+a^3*(1/2*cosh(d*x+c)*sinh(d*x+c)+1/2*d*x+1/2*c))","A"
307,1,56,63,0.041000," ","int(cosh(d*x+c)*(a+b*sinh(d*x+c)^2)^3,x)","\frac{\frac{b^{3} \left(\sinh^{7}\left(d x +c \right)\right)}{7}+\frac{3 a \,b^{2} \left(\sinh^{5}\left(d x +c \right)\right)}{5}+a^{2} b \left(\sinh^{3}\left(d x +c \right)\right)+a^{3} \sinh \left(d x +c \right)}{d}"," ",0,"1/d*(1/7*b^3*sinh(d*x+c)^7+3/5*a*b^2*sinh(d*x+c)^5+a^2*b*sinh(d*x+c)^3+a^3*sinh(d*x+c))","A"
308,1,155,82,0.105000," ","int(sech(d*x+c)*(a+b*sinh(d*x+c)^2)^3,x)","\frac{2 a^{3} \arctan \left({\mathrm e}^{d x +c}\right)}{d}+\frac{3 a^{2} b \sinh \left(d x +c \right)}{d}-\frac{6 a^{2} b \arctan \left({\mathrm e}^{d x +c}\right)}{d}+\frac{a \,b^{2} \left(\sinh^{3}\left(d x +c \right)\right)}{d}-\frac{3 a \,b^{2} \sinh \left(d x +c \right)}{d}+\frac{6 a \,b^{2} \arctan \left({\mathrm e}^{d x +c}\right)}{d}+\frac{b^{3} \left(\sinh^{5}\left(d x +c \right)\right)}{5 d}-\frac{b^{3} \left(\sinh^{3}\left(d x +c \right)\right)}{3 d}+\frac{b^{3} \sinh \left(d x +c \right)}{d}-\frac{2 b^{3} \arctan \left({\mathrm e}^{d x +c}\right)}{d}"," ",0,"2/d*a^3*arctan(exp(d*x+c))+3/d*a^2*b*sinh(d*x+c)-6/d*a^2*b*arctan(exp(d*x+c))+1/d*a*b^2*sinh(d*x+c)^3-3/d*a*b^2*sinh(d*x+c)+6/d*a*b^2*arctan(exp(d*x+c))+1/5*b^3*sinh(d*x+c)^5/d-1/3*b^3*sinh(d*x+c)^3/d+b^3*sinh(d*x+c)/d-2/d*b^3*arctan(exp(d*x+c))","A"
309,1,131,86,0.091000," ","int(sech(d*x+c)^2*(a+b*sinh(d*x+c)^2)^3,x)","\frac{a^{3} \tanh \left(d x +c \right)+3 a^{2} b \left(d x +c -\tanh \left(d x +c \right)\right)+3 a \,b^{2} \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^{3} \left(\frac{\sinh^{5}\left(d x +c \right)}{4 \cosh \left(d x +c \right)}-\frac{5 \left(\sinh^{3}\left(d x +c \right)\right)}{8 \cosh \left(d x +c \right)}+\frac{15 d x}{8}+\frac{15 c}{8}-\frac{15 \tanh \left(d x +c \right)}{8}\right)}{d}"," ",0,"1/d*(a^3*tanh(d*x+c)+3*a^2*b*(d*x+c-tanh(d*x+c))+3*a*b^2*(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^3*(1/4*sinh(d*x+c)^5/cosh(d*x+c)-5/8*sinh(d*x+c)^3/cosh(d*x+c)+15/8*d*x+15/8*c-15/8*tanh(d*x+c)))","A"
310,1,286,85,0.117000," ","int(sech(d*x+c)^3*(a+b*sinh(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 \sinh \left(d x +c \right)}{d \cosh \left(d x +c \right)^{2}}+\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} \left(\sinh^{3}\left(d x +c \right)\right)}{d \cosh \left(d x +c \right)^{2}}+\frac{9 a \,b^{2} \sinh \left(d x +c \right)}{d \cosh \left(d x +c \right)^{2}}-\frac{9 a \,b^{2} \mathrm{sech}\left(d x +c \right) \tanh \left(d x +c \right)}{2 d}-\frac{9 a \,b^{2} \arctan \left({\mathrm e}^{d x +c}\right)}{d}+\frac{b^{3} \left(\sinh^{5}\left(d x +c \right)\right)}{3 d \cosh \left(d x +c \right)^{2}}-\frac{5 b^{3} \left(\sinh^{3}\left(d x +c \right)\right)}{3 d \cosh \left(d x +c \right)^{2}}-\frac{5 b^{3} \sinh \left(d x +c \right)}{d \cosh \left(d x +c \right)^{2}}+\frac{5 b^{3} \mathrm{sech}\left(d x +c \right) \tanh \left(d x +c \right)}{2 d}+\frac{5 b^{3} \arctan \left({\mathrm e}^{d x +c}\right)}{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/d*a^2*b*sinh(d*x+c)/cosh(d*x+c)^2+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/d*a*b^2*sinh(d*x+c)^3/cosh(d*x+c)^2+9/d*a*b^2*sinh(d*x+c)/cosh(d*x+c)^2-9/2/d*a*b^2*sech(d*x+c)*tanh(d*x+c)-9/d*a*b^2*arctan(exp(d*x+c))+1/3/d*b^3*sinh(d*x+c)^5/cosh(d*x+c)^2-5/3/d*b^3*sinh(d*x+c)^3/cosh(d*x+c)^2-5/d*b^3*sinh(d*x+c)/cosh(d*x+c)^2+5/2/d*b^3*sech(d*x+c)*tanh(d*x+c)+5/d*b^3*arctan(exp(d*x+c))","B"
311,1,148,76,0.125000," ","int(sech(d*x+c)^4*(a+b*sinh(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{\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(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^{5}\left(d x +c \right)}{2 \cosh \left(d x +c \right)^{3}}-\frac{5 d x}{2}-\frac{5 c}{2}+\frac{5 \tanh \left(d x +c \right)}{2}+\frac{5 \left(\tanh^{3}\left(d x +c \right)\right)}{6}\right)}{d}"," ",0,"1/d*(a^3*(2/3+1/3*sech(d*x+c)^2)*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*(d*x+c-tanh(d*x+c)-1/3*tanh(d*x+c)^3)+b^3*(1/2*sinh(d*x+c)^5/cosh(d*x+c)^3-5/2*d*x-5/2*c+5/2*tanh(d*x+c)+5/6*tanh(d*x+c)^3))","A"
312,1,376,97,0.140000," ","int(sech(d*x+c)^5*(a+b*sinh(d*x+c)^2)^3,x)","\frac{a^{3} \tanh \left(d x +c \right) \mathrm{sech}\left(d x +c \right)^{3}}{4 d}+\frac{3 a^{3} \mathrm{sech}\left(d x +c \right) \tanh \left(d x +c \right)}{8 d}+\frac{3 a^{3} \arctan \left({\mathrm e}^{d x +c}\right)}{4 d}-\frac{a^{2} b \sinh \left(d x +c \right)}{d \cosh \left(d x +c \right)^{4}}+\frac{a^{2} b \tanh \left(d x +c \right) \mathrm{sech}\left(d x +c \right)^{3}}{4 d}+\frac{3 a^{2} b \,\mathrm{sech}\left(d x +c \right) \tanh \left(d x +c \right)}{8 d}+\frac{3 a^{2} b \arctan \left({\mathrm e}^{d x +c}\right)}{4 d}-\frac{3 a \,b^{2} \left(\sinh^{3}\left(d x +c \right)\right)}{d \cosh \left(d x +c \right)^{4}}-\frac{3 a \,b^{2} \sinh \left(d x +c \right)}{d \cosh \left(d x +c \right)^{4}}+\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} \left(\sinh^{5}\left(d x +c \right)\right)}{d \cosh \left(d x +c \right)^{4}}+\frac{5 b^{3} \left(\sinh^{3}\left(d x +c \right)\right)}{d \cosh \left(d x +c \right)^{4}}+\frac{5 b^{3} \sinh \left(d x +c \right)}{d \cosh \left(d x +c \right)^{4}}-\frac{5 b^{3} \tanh \left(d x +c \right) \mathrm{sech}\left(d x +c \right)^{3}}{4 d}-\frac{15 b^{3} \mathrm{sech}\left(d x +c \right) \tanh \left(d x +c \right)}{8 d}-\frac{15 b^{3} \arctan \left({\mathrm e}^{d x +c}\right)}{4 d}"," ",0,"1/4/d*a^3*tanh(d*x+c)*sech(d*x+c)^3+3/8/d*a^3*sech(d*x+c)*tanh(d*x+c)+3/4/d*a^3*arctan(exp(d*x+c))-1/d*a^2*b*sinh(d*x+c)/cosh(d*x+c)^4+1/4/d*a^2*b*tanh(d*x+c)*sech(d*x+c)^3+3/8/d*a^2*b*sech(d*x+c)*tanh(d*x+c)+3/4/d*a^2*b*arctan(exp(d*x+c))-3/d*a*b^2*sinh(d*x+c)^3/cosh(d*x+c)^4-3/d*a*b^2*sinh(d*x+c)/cosh(d*x+c)^4+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/d*b^3*sinh(d*x+c)^5/cosh(d*x+c)^4+5/d*b^3*sinh(d*x+c)^3/cosh(d*x+c)^4+5/d*b^3*sinh(d*x+c)/cosh(d*x+c)^4-5/4/d*b^3*tanh(d*x+c)*sech(d*x+c)^3-15/8/d*b^3*sech(d*x+c)*tanh(d*x+c)-15/4/d*b^3*arctan(exp(d*x+c))","B"
313,1,199,70,0.125000," ","int(sech(d*x+c)^6*(a+b*sinh(d*x+c)^2)^3,x)","\frac{a^{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)+3 a^{2} b \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)+3 a \,b^{2} \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^{3} \left(d x +c -\tanh \left(d x +c \right)-\frac{\left(\tanh^{3}\left(d x +c \right)\right)}{3}-\frac{\left(\tanh^{5}\left(d x +c \right)\right)}{5}\right)}{d}"," ",0,"1/d*(a^3*(8/15+1/5*sech(d*x+c)^4+4/15*sech(d*x+c)^2)*tanh(d*x+c)+3*a^2*b*(-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))+3*a*b^2*(-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^3*(d*x+c-tanh(d*x+c)-1/3*tanh(d*x+c)^3-1/5*tanh(d*x+c)^5))","B"
314,1,467,146,0.140000," ","int(sech(d*x+c)^7*(a+b*sinh(d*x+c)^2)^3,x)","\frac{a^{3} \tanh \left(d x +c \right) \mathrm{sech}\left(d x +c \right)^{5}}{6 d}+\frac{5 a^{3} \tanh \left(d x +c \right) \mathrm{sech}\left(d x +c \right)^{3}}{24 d}+\frac{5 a^{3} \mathrm{sech}\left(d x +c \right) \tanh \left(d x +c \right)}{16 d}+\frac{5 a^{3} \arctan \left({\mathrm e}^{d x +c}\right)}{8 d}-\frac{3 a^{2} b \sinh \left(d x +c \right)}{5 d \cosh \left(d x +c \right)^{6}}+\frac{a^{2} b \tanh \left(d x +c \right) \mathrm{sech}\left(d x +c \right)^{5}}{10 d}+\frac{a^{2} b \tanh \left(d x +c \right) \mathrm{sech}\left(d x +c \right)^{3}}{8 d}+\frac{3 a^{2} b \,\mathrm{sech}\left(d x +c \right) \tanh \left(d x +c \right)}{16 d}+\frac{3 a^{2} b \arctan \left({\mathrm e}^{d x +c}\right)}{8 d}-\frac{a \,b^{2} \left(\sinh^{3}\left(d x +c \right)\right)}{d \cosh \left(d x +c \right)^{6}}-\frac{3 a \,b^{2} \sinh \left(d x +c \right)}{5 d \cosh \left(d x +c \right)^{6}}+\frac{a \,b^{2} \tanh \left(d x +c \right) \mathrm{sech}\left(d x +c \right)^{5}}{10 d}+\frac{a \,b^{2} \tanh \left(d x +c \right) \mathrm{sech}\left(d x +c \right)^{3}}{8 d}+\frac{3 a \,b^{2} \mathrm{sech}\left(d x +c \right) \tanh \left(d x +c \right)}{16 d}+\frac{3 a \,b^{2} \arctan \left({\mathrm e}^{d x +c}\right)}{8 d}-\frac{b^{3} \left(\sinh^{5}\left(d x +c \right)\right)}{d \cosh \left(d x +c \right)^{6}}-\frac{5 b^{3} \left(\sinh^{3}\left(d x +c \right)\right)}{3 d \cosh \left(d x +c \right)^{6}}-\frac{b^{3} \sinh \left(d x +c \right)}{d \cosh \left(d x +c \right)^{6}}+\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,"1/6/d*a^3*tanh(d*x+c)*sech(d*x+c)^5+5/24/d*a^3*tanh(d*x+c)*sech(d*x+c)^3+5/16/d*a^3*sech(d*x+c)*tanh(d*x+c)+5/8/d*a^3*arctan(exp(d*x+c))-3/5/d*a^2*b*sinh(d*x+c)/cosh(d*x+c)^6+1/10/d*a^2*b*tanh(d*x+c)*sech(d*x+c)^5+1/8/d*a^2*b*tanh(d*x+c)*sech(d*x+c)^3+3/16/d*a^2*b*sech(d*x+c)*tanh(d*x+c)+3/8/d*a^2*b*arctan(exp(d*x+c))-1/d*a*b^2*sinh(d*x+c)^3/cosh(d*x+c)^6-3/5/d*a*b^2*sinh(d*x+c)/cosh(d*x+c)^6+1/10/d*a*b^2*tanh(d*x+c)*sech(d*x+c)^5+1/8/d*a*b^2*tanh(d*x+c)*sech(d*x+c)^3+3/16/d*a*b^2*sech(d*x+c)*tanh(d*x+c)+3/8/d*a*b^2*arctan(exp(d*x+c))-1/d*b^3*sinh(d*x+c)^5/cosh(d*x+c)^6-5/3/d*b^3*sinh(d*x+c)^3/cosh(d*x+c)^6-1/d*b^3*sinh(d*x+c)/cosh(d*x+c)^6+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))","B"
315,1,289,76,0.165000," ","int(sech(d*x+c)^8*(a+b*sinh(d*x+c)^2)^3,x)","\frac{a^{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)+3 a^{2} b \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)+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^{5}\left(d x +c \right)}{2 \cosh \left(d x +c \right)^{7}}-\frac{5 \left(\sinh^{3}\left(d x +c \right)\right)}{8 \cosh \left(d x +c \right)^{7}}-\frac{5 \sinh \left(d x +c \right)}{16 \cosh \left(d x +c \right)^{7}}+\frac{5 \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)}{16}\right)}{d}"," ",0,"1/d*(a^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)+3*a^2*b*(-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))+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*(-1/2*sinh(d*x+c)^5/cosh(d*x+c)^7-5/8*sinh(d*x+c)^3/cosh(d*x+c)^7-5/16*sinh(d*x+c)/cosh(d*x+c)^7+5/16*(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"
316,1,1656,96,0.137000," ","int(cosh(d*x+c)^7/(a+b*sinh(d*x+c)^2),x)","\frac{3 a}{d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}+\frac{3 a}{d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}+\frac{a}{2 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}-\frac{a^{2}}{d \,b^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}-\frac{a}{2 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{a^{2}}{d \,b^{3} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}+\frac{6 a^{2} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d b \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{a^{4} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \,b^{3} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{4 a^{3} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \,b^{2} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{6 a^{2} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d b \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{a}{3 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{3}}+\frac{a}{3 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}+\frac{3 a^{2} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \,b^{2} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{1}{5 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{5}}-\frac{1}{5 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{5}}-\frac{4 a^{3} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \,b^{2} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{3 a \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d b \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{4 a \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{3 a^{2} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \,b^{2} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{a^{3} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \,b^{3} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{\arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{\arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{3 a \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d b \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{\arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right) b}{d \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{4 a \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{\arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right) b}{d \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{a^{3} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \,b^{3} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{4}}+\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{4}}-\frac{11}{8 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}+\frac{11}{8 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{5}{4 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{3}}-\frac{5}{4 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}-\frac{3}{d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}-\frac{3}{d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}+\frac{a^{4} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \,b^{3} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}"," ",0,"3/d/b^2/(tanh(1/2*d*x+1/2*c)-1)*a+3/d/b^2/(tanh(1/2*d*x+1/2*c)+1)*a+1/2/d/b^2/(tanh(1/2*d*x+1/2*c)-1)^2*a-1/d/b^3/(tanh(1/2*d*x+1/2*c)-1)*a^2-1/2/d/b^2/(tanh(1/2*d*x+1/2*c)+1)^2*a-1/d/b^3/(tanh(1/2*d*x+1/2*c)+1)*a^2+6/d*a^2/b/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+6/d*a^2/b/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+1/3/d/b^2/(tanh(1/2*d*x+1/2*c)-1)^3*a+1/3/d/b^2/(tanh(1/2*d*x+1/2*c)+1)^3*a+3/d*a^2/b^2/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-1/5/d/b/(tanh(1/2*d*x+1/2*c)-1)^5-1/5/d/b/(tanh(1/2*d*x+1/2*c)+1)^5-4/d/b^2*a^3/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+1/d/b^3*a^4/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+1/d/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-1/d/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+1/d/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))*b-3/d*a/b/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+1/d/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))*b-4/d*a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+3/d*a/b/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-4/d*a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-3/d*a^2/b^2/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-4/d/b^2*a^3/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-1/d/b^3*a^3/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+1/d/b^3*a^3/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-1/2/d/b/(tanh(1/2*d*x+1/2*c)-1)^4+1/2/d/b/(tanh(1/2*d*x+1/2*c)+1)^4-11/8/d/b/(tanh(1/2*d*x+1/2*c)-1)^2+11/8/d/b/(tanh(1/2*d*x+1/2*c)+1)^2-5/4/d/b/(tanh(1/2*d*x+1/2*c)-1)^3-5/4/d/b/(tanh(1/2*d*x+1/2*c)+1)^3-3/d/b/(tanh(1/2*d*x+1/2*c)-1)-3/d/b/(tanh(1/2*d*x+1/2*c)+1)+1/d/b^3*a^4/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))","B"
317,1,1497,107,0.115000," ","int(cosh(d*x+c)^6/(a+b*sinh(d*x+c)^2),x)","-\frac{a}{2 d \,b^{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) a^{2}}{d \,b^{3}}-\frac{a}{2 d \,b^{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) a^{2}}{d \,b^{3}}-\frac{a}{2 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}+\frac{a}{2 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{3 a^{2} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d b \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{a^{3} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \,b^{2} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{3 a^{2} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d b \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{5 a \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{2 d \,b^{2}}+\frac{5 a \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{2 d \,b^{2}}+\frac{15 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{8 d b}-\frac{15 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{8 d b}-\frac{3 a^{2} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \,b^{2} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{a^{3} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \,b^{2} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{3 a \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d b \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{3 a \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{3 a^{2} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \,b^{2} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{a^{3} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \,b^{3} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{\arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{\arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{3 a \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d b \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{\arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right) b}{d \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{3 a \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{\arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right) b}{d \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{a^{3} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \,b^{3} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{1}{4 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{4}}-\frac{1}{4 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{4}}+\frac{11}{8 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}-\frac{11}{8 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{3}}+\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}+\frac{9}{8 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}+\frac{9}{8 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}"," ",0,"-1/2/d/b^2/(tanh(1/2*d*x+1/2*c)-1)*a-1/d/b^3*ln(tanh(1/2*d*x+1/2*c)-1)*a^2-1/2/d/b^2/(tanh(1/2*d*x+1/2*c)+1)*a+1/d/b^3*ln(tanh(1/2*d*x+1/2*c)+1)*a^2-1/2/d/b^2/(tanh(1/2*d*x+1/2*c)-1)^2*a+1/2/d/b^2/(tanh(1/2*d*x+1/2*c)+1)^2*a-3/d*a^2/b/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-3/d*a^2/b/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-5/2/d*a/b^2*ln(tanh(1/2*d*x+1/2*c)+1)+5/2/d*a/b^2*ln(tanh(1/2*d*x+1/2*c)-1)+15/8/d/b*ln(tanh(1/2*d*x+1/2*c)+1)-15/8/d/b*ln(tanh(1/2*d*x+1/2*c)-1)-3/d*a^2/b^2/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+1/d/b^2*a^3/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-1/d/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+1/d/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-1/d/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))*b+3/d*a/b/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-1/d/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))*b+3/d*a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-3/d*a/b/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+3/d*a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+3/d*a^2/b^2/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+1/d/b^2*a^3/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+1/d/b^3*a^3/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-1/d/b^3*a^3/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+1/4/d/b/(tanh(1/2*d*x+1/2*c)-1)^4-1/4/d/b/(tanh(1/2*d*x+1/2*c)+1)^4+11/8/d/b/(tanh(1/2*d*x+1/2*c)-1)^2-11/8/d/b/(tanh(1/2*d*x+1/2*c)+1)^2+1/2/d/b/(tanh(1/2*d*x+1/2*c)-1)^3+1/2/d/b/(tanh(1/2*d*x+1/2*c)+1)^3+9/8/d/b/(tanh(1/2*d*x+1/2*c)-1)+9/8/d/b/(tanh(1/2*d*x+1/2*c)+1)","B"
318,1,1148,67,0.111000," ","int(cosh(d*x+c)^5/(a+b*sinh(d*x+c)^2),x)","-\frac{1}{3 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{3}}-\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}+\frac{a}{d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}-\frac{2}{d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}-\frac{1}{3 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}+\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{a}{d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{2}{d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{a^{3} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \,b^{2} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{3 a^{2} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d b \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{3 a \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{a^{2} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \,b^{2} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{2 a \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d b \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{\arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{\arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right) b}{d \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{a^{3} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \,b^{2} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{3 a^{2} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d b \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{3 a \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{a^{2} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \,b^{2} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{2 a \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d b \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{\arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{\arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right) b}{d \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}"," ",0,"-1/3/d/b/(tanh(1/2*d*x+1/2*c)-1)^3-1/2/d/b/(tanh(1/2*d*x+1/2*c)-1)^2+1/d/b^2/(tanh(1/2*d*x+1/2*c)-1)*a-2/d/b/(tanh(1/2*d*x+1/2*c)-1)-1/3/d/b/(tanh(1/2*d*x+1/2*c)+1)^3+1/2/d/b/(tanh(1/2*d*x+1/2*c)+1)^2+1/d/b^2/(tanh(1/2*d*x+1/2*c)+1)*a-2/d/b/(tanh(1/2*d*x+1/2*c)+1)-1/d/b^2*a^3/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+3/d*a^2/b/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-3/d*a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+1/d*a^2/b^2/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-2/d*a/b/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+1/d/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+1/d/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))*b-1/d/b^2*a^3/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+3/d*a^2/b/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-3/d*a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-1/d*a^2/b^2/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+2/d*a/b/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-1/d/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+1/d/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))*b","B"
319,1,993,69,0.098000," ","int(cosh(d*x+c)^4/(a+b*sinh(d*x+c)^2),x)","\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}+\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}+\frac{a \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,b^{2}}-\frac{3 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{2 d b}-\frac{1}{2 d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{1}{2 d b \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)}{2 d b}-\frac{a \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,b^{2}}-\frac{a^{2} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \,b^{2} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{2 a \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d b \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{\arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{a^{2} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d b \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{2 a \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{\arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right) b}{d \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{a^{2} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \,b^{2} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{2 a \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d b \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{\arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{a^{2} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d b \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{2 a \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{\arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right) b}{d \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}"," ",0,"1/2/d/b/(tanh(1/2*d*x+1/2*c)-1)^2+1/2/d/b/(tanh(1/2*d*x+1/2*c)-1)+1/d*a/b^2*ln(tanh(1/2*d*x+1/2*c)-1)-3/2/d/b*ln(tanh(1/2*d*x+1/2*c)-1)-1/2/d/b/(tanh(1/2*d*x+1/2*c)+1)^2+1/2/d/b/(tanh(1/2*d*x+1/2*c)+1)+3/2/d/b*ln(tanh(1/2*d*x+1/2*c)+1)-1/d*a/b^2*ln(tanh(1/2*d*x+1/2*c)+1)-1/d*a^2/b^2/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+2/d*a/b/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-1/d/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-1/d*a^2/b/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+2/d*a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-1/d/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))*b+1/d*a^2/b^2/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-2/d*a/b/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+1/d/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-1/d*a^2/b/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+2/d*a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-1/d/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))*b","B"
320,1,732,44,0.101000," ","int(cosh(d*x+c)^3/(a+b*sinh(d*x+c)^2),x)","\frac{a^{2} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d b \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{a \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d b \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{2 a \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{a^{2} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d b \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{a \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d b \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{2 a \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{\arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{\arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right) b}{d \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{\arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{\arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right) b}{d \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{1}{d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{1}{d b \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}"," ",0,"1/d*a^2/b/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-1/d*a/b/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-2/d*a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+1/d*a^2/b/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+1/d*a/b/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-2/d*a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+1/d/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+1/d/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))*b-1/d/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+1/d/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))*b-1/d/b/(tanh(1/2*d*x+1/2*c)+1)-1/d/b/(tanh(1/2*d*x+1/2*c)-1)","B"
321,1,577,42,0.094000," ","int(cosh(d*x+c)^2/(a+b*sinh(d*x+c)^2),x)","-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d b}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d b}+\frac{a \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d b \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{a \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{a \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d b \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{a \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{\arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{\arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right) b}{d \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{\arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{\arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right) b}{d \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}"," ",0,"-1/d/b*ln(tanh(1/2*d*x+1/2*c)-1)+1/d/b*ln(tanh(1/2*d*x+1/2*c)+1)+1/d*a/b/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+1/d*a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-1/d*a/b/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+1/d*a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-1/d/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-1/d/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))*b+1/d/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-1/d/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))*b","B"
322,1,24,24,0.025000," ","int(cosh(d*x+c)/(a+b*sinh(d*x+c)^2),x)","\frac{\arctan \left(\frac{\sinh \left(d x +c \right) b}{\sqrt{a b}}\right)}{d \sqrt{a b}}"," ",0,"1/d/(a*b)^(1/2)*arctan(sinh(d*x+c)*b/(a*b)^(1/2))","A"
323,1,481,51,0.131000," ","int(sech(d*x+c)/(a+b*sinh(d*x+c)^2),x)","\frac{b a \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \left(a -b \right) \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{b \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \left(a -b \right) \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{b^{2} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \left(a -b \right) \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{b a \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \left(a -b \right) \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{b \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \left(a -b \right) \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{b^{2} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \left(a -b \right) \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{2 \arctan \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*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-1/d*b/(a-b)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-1/d*b^2/(a-b)/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+1/d*b/(a-b)*a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+1/d*b/(a-b)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-1/d*b^2/(a-b)/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+2/d/(a-b)*arctan(tanh(1/2*d*x+1/2*c))","B"
324,1,335,52,0.119000," ","int(sech(d*x+c)^2/(a+b*sinh(d*x+c)^2),x)","\frac{b \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \left(a -b \right) \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{b^{2} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \left(a -b \right) \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{b \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \left(a -b \right) \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{b^{2} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \left(a -b \right) \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d \left(a -b \right) \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}"," ",0,"1/d*b/(a-b)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+1/d*b^2/(a-b)/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-1/d*b/(a-b)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+1/d*b^2/(a-b)/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+2/d/(a-b)*tanh(1/2*d*x+1/2*c)/(tanh(1/2*d*x+1/2*c)^2+1)","B"
325,1,662,80,0.148000," ","int(sech(d*x+c)^3/(a+b*sinh(d*x+c)^2),x)","-\frac{b^{2} a \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \left(a -b \right)^{2} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{b^{2} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \left(a -b \right)^{2} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{b^{3} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \left(a -b \right)^{2} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{b^{2} a \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \left(a -b \right)^{2} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{b^{2} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \left(a -b \right)^{2} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{b^{3} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \left(a -b \right)^{2} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{\left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a}{d \left(a -b \right)^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{\left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{d \left(a -b \right)^{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) a}{d \left(a -b \right)^{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) b}{d \left(a -b \right)^{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) a}{d \left(a -b \right)^{2}}-\frac{3 \arctan \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{d \left(a -b \right)^{2}}"," ",0,"-1/d*b^2/(a-b)^2*a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+1/d*b^2/(a-b)^2/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+1/d*b^3/(a-b)^2/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-1/d*b^2/(a-b)^2*a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-1/d*b^2/(a-b)^2/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+1/d*b^3/(a-b)^2/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-1/d/(a-b)^2/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)^3*a+1/d/(a-b)^2/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)^3*b+1/d/(a-b)^2/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)*a-1/d/(a-b)^2/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)*b+1/d/(a-b)^2*arctan(tanh(1/2*d*x+1/2*c))*a-3/d/(a-b)^2*arctan(tanh(1/2*d*x+1/2*c))*b","B"
326,1,535,78,0.148000," ","int(sech(d*x+c)^4/(a+b*sinh(d*x+c)^2),x)","-\frac{b^{2} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \left(a -b \right)^{2} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{b^{3} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \left(a -b \right)^{2} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{b^{2} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \left(a -b \right)^{2} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{b^{3} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \left(a -b \right)^{2} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{2 \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a}{d \left(a -b \right)^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}-\frac{4 \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{d \left(a -b \right)^{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) a}{3 d \left(a -b \right)^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}-\frac{16 \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{3 d \left(a -b \right)^{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) a}{d \left(a -b \right)^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}-\frac{4 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b}{d \left(a -b \right)^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}"," ",0,"-1/d*b^2/(a-b)^2/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-1/d*b^3/(a-b)^2/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+1/d*b^2/(a-b)^2/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-1/d*b^3/(a-b)^2/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+2/d/(a-b)^2/(tanh(1/2*d*x+1/2*c)^2+1)^3*tanh(1/2*d*x+1/2*c)^5*a-4/d/(a-b)^2/(tanh(1/2*d*x+1/2*c)^2+1)^3*tanh(1/2*d*x+1/2*c)^5*b+4/3/d/(a-b)^2/(tanh(1/2*d*x+1/2*c)^2+1)^3*tanh(1/2*d*x+1/2*c)^3*a-16/3/d/(a-b)^2/(tanh(1/2*d*x+1/2*c)^2+1)^3*tanh(1/2*d*x+1/2*c)^3*b+2/d/(a-b)^2/(tanh(1/2*d*x+1/2*c)^2+1)^3*tanh(1/2*d*x+1/2*c)*a-4/d/(a-b)^2/(tanh(1/2*d*x+1/2*c)^2+1)^3*tanh(1/2*d*x+1/2*c)*b","B"
327,1,1023,124,0.153000," ","int(sech(d*x+c)^5/(a+b*sinh(d*x+c)^2),x)","\frac{b^{3} a \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \left(a -b \right)^{3} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{b^{3} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \left(a -b \right)^{3} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{b^{4} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \left(a -b \right)^{3} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{b^{3} a \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \left(a -b \right)^{3} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{b^{3} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \left(a -b \right)^{3} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{b^{4} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \left(a -b \right)^{3} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{5 \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a^{2}}{4 d \left(a -b \right)^{3} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{4}}+\frac{7 \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a b}{2 d \left(a -b \right)^{3} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{4}}-\frac{9 \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b^{2}}{4 d \left(a -b \right)^{3} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{4}}+\frac{3 \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a^{2}}{4 d \left(a -b \right)^{3} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{4}}-\frac{\left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a b}{2 d \left(a -b \right)^{3} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{4}}-\frac{\left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b^{2}}{4 d \left(a -b \right)^{3} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{4}}-\frac{3 \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a^{2}}{4 d \left(a -b \right)^{3} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{4}}+\frac{\left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a b}{2 d \left(a -b \right)^{3} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{4}}+\frac{\left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b^{2}}{4 d \left(a -b \right)^{3} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{4}}+\frac{5 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) a^{2}}{4 d \left(a -b \right)^{3} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{4}}-\frac{7 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) a b}{2 d \left(a -b \right)^{3} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{4}}+\frac{9 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b^{2}}{4 d \left(a -b \right)^{3} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{4}}+\frac{3 \arctan \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right) a^{2}}{4 d \left(a -b \right)^{3}}-\frac{5 \arctan \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right) a b}{2 d \left(a -b \right)^{3}}+\frac{15 \arctan \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right) b^{2}}{4 d \left(a -b \right)^{3}}"," ",0,"1/d*b^3/(a-b)^3*a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-1/d*b^3/(a-b)^3/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-1/d*b^4/(a-b)^3/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+1/d*b^3/(a-b)^3*a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+1/d*b^3/(a-b)^3/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-1/d*b^4/(a-b)^3/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-5/4/d/(a-b)^3/(tanh(1/2*d*x+1/2*c)^2+1)^4*tanh(1/2*d*x+1/2*c)^7*a^2+7/2/d/(a-b)^3/(tanh(1/2*d*x+1/2*c)^2+1)^4*tanh(1/2*d*x+1/2*c)^7*a*b-9/4/d/(a-b)^3/(tanh(1/2*d*x+1/2*c)^2+1)^4*tanh(1/2*d*x+1/2*c)^7*b^2+3/4/d/(a-b)^3/(tanh(1/2*d*x+1/2*c)^2+1)^4*tanh(1/2*d*x+1/2*c)^5*a^2-1/2/d/(a-b)^3/(tanh(1/2*d*x+1/2*c)^2+1)^4*tanh(1/2*d*x+1/2*c)^5*a*b-1/4/d/(a-b)^3/(tanh(1/2*d*x+1/2*c)^2+1)^4*tanh(1/2*d*x+1/2*c)^5*b^2-3/4/d/(a-b)^3/(tanh(1/2*d*x+1/2*c)^2+1)^4*tanh(1/2*d*x+1/2*c)^3*a^2+1/2/d/(a-b)^3/(tanh(1/2*d*x+1/2*c)^2+1)^4*tanh(1/2*d*x+1/2*c)^3*a*b+1/4/d/(a-b)^3/(tanh(1/2*d*x+1/2*c)^2+1)^4*tanh(1/2*d*x+1/2*c)^3*b^2+5/4/d/(a-b)^3/(tanh(1/2*d*x+1/2*c)^2+1)^4*tanh(1/2*d*x+1/2*c)*a^2-7/2/d/(a-b)^3/(tanh(1/2*d*x+1/2*c)^2+1)^4*tanh(1/2*d*x+1/2*c)*a*b+9/4/d/(a-b)^3/(tanh(1/2*d*x+1/2*c)^2+1)^4*tanh(1/2*d*x+1/2*c)*b^2+3/4/d/(a-b)^3*arctan(tanh(1/2*d*x+1/2*c))*a^2-5/2/d/(a-b)^3*arctan(tanh(1/2*d*x+1/2*c))*a*b+15/4/d/(a-b)^3*arctan(tanh(1/2*d*x+1/2*c))*b^2","B"
328,1,907,114,0.168000," ","int(sech(d*x+c)^6/(a+b*sinh(d*x+c)^2),x)","\frac{b^{3} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \left(a -b \right)^{3} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{b^{4} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \left(a -b \right)^{3} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{b^{3} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \left(a -b \right)^{3} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{b^{4} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \left(a -b \right)^{3} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{2 \left(\tanh^{9}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a^{2}}{d \left(a -b \right)^{3} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{5}}-\frac{6 \left(\tanh^{9}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a b}{d \left(a -b \right)^{3} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{5}}+\frac{6 \left(\tanh^{9}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b^{2}}{d \left(a -b \right)^{3} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{5}}+\frac{8 \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a^{2}}{3 d \left(a -b \right)^{3} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{5}}-\frac{32 \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a b}{3 d \left(a -b \right)^{3} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{5}}+\frac{16 \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b^{2}}{d \left(a -b \right)^{3} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{5}}+\frac{116 \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a^{2}}{15 d \left(a -b \right)^{3} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{5}}-\frac{332 \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a b}{15 d \left(a -b \right)^{3} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{5}}+\frac{132 \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b^{2}}{5 d \left(a -b \right)^{3} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{5}}+\frac{8 \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a^{2}}{3 d \left(a -b \right)^{3} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{5}}-\frac{32 \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a b}{3 d \left(a -b \right)^{3} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{5}}+\frac{16 \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b^{2}}{d \left(a -b \right)^{3} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{5}}+\frac{2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) a^{2}}{d \left(a -b \right)^{3} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{5}}-\frac{6 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) a b}{d \left(a -b \right)^{3} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{5}}+\frac{6 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b^{2}}{d \left(a -b \right)^{3} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{5}}"," ",0,"1/d*b^3/(a-b)^3/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+1/d*b^4/(a-b)^3/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-1/d*b^3/(a-b)^3/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+1/d*b^4/(a-b)^3/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+2/d/(a-b)^3/(tanh(1/2*d*x+1/2*c)^2+1)^5*tanh(1/2*d*x+1/2*c)^9*a^2-6/d/(a-b)^3/(tanh(1/2*d*x+1/2*c)^2+1)^5*tanh(1/2*d*x+1/2*c)^9*a*b+6/d/(a-b)^3/(tanh(1/2*d*x+1/2*c)^2+1)^5*tanh(1/2*d*x+1/2*c)^9*b^2+8/3/d/(a-b)^3/(tanh(1/2*d*x+1/2*c)^2+1)^5*tanh(1/2*d*x+1/2*c)^7*a^2-32/3/d/(a-b)^3/(tanh(1/2*d*x+1/2*c)^2+1)^5*tanh(1/2*d*x+1/2*c)^7*a*b+16/d/(a-b)^3/(tanh(1/2*d*x+1/2*c)^2+1)^5*tanh(1/2*d*x+1/2*c)^7*b^2+116/15/d/(a-b)^3/(tanh(1/2*d*x+1/2*c)^2+1)^5*tanh(1/2*d*x+1/2*c)^5*a^2-332/15/d/(a-b)^3/(tanh(1/2*d*x+1/2*c)^2+1)^5*tanh(1/2*d*x+1/2*c)^5*a*b+132/5/d/(a-b)^3/(tanh(1/2*d*x+1/2*c)^2+1)^5*tanh(1/2*d*x+1/2*c)^5*b^2+8/3/d/(a-b)^3/(tanh(1/2*d*x+1/2*c)^2+1)^5*tanh(1/2*d*x+1/2*c)^3*a^2-32/3/d/(a-b)^3/(tanh(1/2*d*x+1/2*c)^2+1)^5*tanh(1/2*d*x+1/2*c)^3*a*b+16/d/(a-b)^3/(tanh(1/2*d*x+1/2*c)^2+1)^5*tanh(1/2*d*x+1/2*c)^3*b^2+2/d/(a-b)^3/(tanh(1/2*d*x+1/2*c)^2+1)^5*tanh(1/2*d*x+1/2*c)*a^2-6/d/(a-b)^3/(tanh(1/2*d*x+1/2*c)^2+1)^5*tanh(1/2*d*x+1/2*c)*a*b+6/d/(a-b)^3/(tanh(1/2*d*x+1/2*c)^2+1)^5*tanh(1/2*d*x+1/2*c)*b^2","B"
329,1,1659,142,0.138000," ","int(cosh(d*x+c)^6/(a+b*sinh(d*x+c)^2)^2,x)","\frac{a \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)}+\frac{a \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)}-\frac{2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d b \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)}+\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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right) a}+\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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right) a}-\frac{2 \left(\tanh^{3}\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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)}-\frac{\arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{\arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{2 d a \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{\arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d b \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{\arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{\arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{2 d a \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{\arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d b \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{2 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right) a}{d \,b^{3}}-\frac{2 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right) a}{d \,b^{3}}-\frac{5 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{2 d \,b^{2}}+\frac{5 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{2 d \,b^{2}}-\frac{2 a^{2} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \,b^{3} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{7 a \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{2 d \,b^{2} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{2 a^{2} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \,b^{3} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{7 a \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{2 d \,b^{2} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{1}{2 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}+\frac{1}{2 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}+\frac{1}{2 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}-\frac{1}{2 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{7 a \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{2 d b \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{\arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right) b}{2 d a \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{2 a^{2} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \,b^{2} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{7 a \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{2 d b \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{2 a^{2} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \,b^{2} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{\arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right) b}{2 d a \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}"," ",0,"1/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)/a*tanh(1/2*d*x+1/2*c)-1/d/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-1/d/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-1/2/d/a/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+1/2/d/a/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-2/d/b/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)*tanh(1/2*d*x+1/2*c)^3-2/d/b/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)*tanh(1/2*d*x+1/2*c)-1/d/b/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+1/d/b/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+2/d/b^3*ln(tanh(1/2*d*x+1/2*c)-1)*a-2/d/b^3*ln(tanh(1/2*d*x+1/2*c)+1)*a+1/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)/a*tanh(1/2*d*x+1/2*c)^3-5/2/d/b^2*ln(tanh(1/2*d*x+1/2*c)-1)+5/2/d/b^2*ln(tanh(1/2*d*x+1/2*c)+1)+1/d/b^2/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)*a*tanh(1/2*d*x+1/2*c)-2/d/b^3*a^2/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+2/d/b^3*a^2/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+7/2/d/b^2*a/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-7/2/d/b^2*a/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+1/d/b^2/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)*a*tanh(1/2*d*x+1/2*c)^3+1/2/d/b^2/(tanh(1/2*d*x+1/2*c)-1)+1/2/d/b^2/(tanh(1/2*d*x+1/2*c)+1)+1/2/d/b^2/(tanh(1/2*d*x+1/2*c)-1)^2-1/2/d/b^2/(tanh(1/2*d*x+1/2*c)+1)^2+7/2/d/b*a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+7/2/d/b*a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-1/2/d/a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))*b-2/d/b^2*a^2/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-2/d/b^2*a^2/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-1/2/d/a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))*b","B"
330,1,1403,92,0.121000," ","int(cosh(d*x+c)^5/(a+b*sinh(d*x+c)^2)^2,x)","-\frac{1}{d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}-\frac{1}{d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{a \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)}+\frac{2 \left(\tanh^{3}\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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)}-\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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right) a}+\frac{a \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)}-\frac{2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d b \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right) a}+\frac{3 a^{2} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{2 d \,b^{2} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{3 a \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{2 d \,b^{2} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{5 a \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{2 d b \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{3 a^{2} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{2 d \,b^{2} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{3 a \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{2 d \,b^{2} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{5 a \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{2 d b \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{\arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d b \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{\arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{2 d \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{\arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d b \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{\arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{2 d \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{\arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{2 d a \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{\arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right) b}{2 d a \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{\arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{2 d a \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{\arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right) b}{2 d a \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}"," ",0,"-1/d/b^2/(tanh(1/2*d*x+1/2*c)-1)-1/d/b^2/(tanh(1/2*d*x+1/2*c)+1)-1/d/b^2/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)*a*tanh(1/2*d*x+1/2*c)^3+2/d/b/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)*tanh(1/2*d*x+1/2*c)^3-1/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)/a*tanh(1/2*d*x+1/2*c)^3+1/d/b^2/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)*a*tanh(1/2*d*x+1/2*c)-2/d/b/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)*tanh(1/2*d*x+1/2*c)+1/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)/a*tanh(1/2*d*x+1/2*c)+3/2/d/b^2*a^2/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-3/2/d/b^2*a/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-5/2/d/b*a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+3/2/d/b^2*a^2/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+3/2/d/b^2*a/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-5/2/d/b*a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+1/d/b/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+1/2/d/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-1/d/b/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+1/2/d/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+1/2/d/a/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+1/2/d/a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))*b-1/2/d/a/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+1/2/d/a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))*b","B"
331,1,1116,88,0.117000," ","int(cosh(d*x+c)^4/(a+b*sinh(d*x+c)^2)^2,x)","-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,b^{2}}+\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,b^{2}}-\frac{\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)}{d b \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)}+\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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right) a}-\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d b \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right) a}+\frac{a \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \,b^{2} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{a \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d b \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{a \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \,b^{2} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{a \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d b \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{\arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{2 d b \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{\arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{2 d \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{\arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{2 d b \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{\arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{2 d \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{\arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{2 d a \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{\arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right) b}{2 d a \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{\arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{2 d a \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{\arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right) b}{2 d a \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}"," ",0,"-1/d/b^2*ln(tanh(1/2*d*x+1/2*c)-1)+1/d/b^2*ln(tanh(1/2*d*x+1/2*c)+1)-1/d/b/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)*tanh(1/2*d*x+1/2*c)^3+1/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)/a*tanh(1/2*d*x+1/2*c)^3-1/d/b/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)*tanh(1/2*d*x+1/2*c)+1/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)/a*tanh(1/2*d*x+1/2*c)+1/d/b^2*a/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+1/d/b*a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-1/d/b^2*a/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+1/d/b*a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-1/2/d/b/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-1/2/d/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+1/2/d/b/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-1/2/d/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-1/2/d/a/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-1/2/d/a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))*b+1/2/d/a/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-1/2/d/a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))*b","B"
332,1,808,65,0.120000," ","int(cosh(d*x+c)^3/(a+b*sinh(d*x+c)^2)^2,x)","\frac{\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)}{d b \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)}-\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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right) a}-\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d b \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right) a}-\frac{a \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{2 d b \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{\arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{2 d b \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{a \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{2 d b \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{\arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{2 d b \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{\arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{2 d a \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{\arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right) b}{2 d a \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{\arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{2 d a \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{\arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right) b}{2 d a \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}"," ",0,"1/d/b/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)*tanh(1/2*d*x+1/2*c)^3-1/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)/a*tanh(1/2*d*x+1/2*c)^3-1/d/b/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)*tanh(1/2*d*x+1/2*c)+1/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)/a*tanh(1/2*d*x+1/2*c)-1/2/d/b*a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+1/2/d/b/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-1/2/d/b*a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-1/2/d/b/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+1/2/d/a/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+1/2/d/a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))*b-1/2/d/a/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+1/2/d/a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))*b","B"
333,1,404,67,0.109000," ","int(cosh(d*x+c)^2/(a+b*sinh(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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right) a}+\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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right) a}-\frac{\arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{2 d a \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{\arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right) b}{2 d a \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{\arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{2 d a \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{\arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right) b}{2 d a \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}"," ",0,"1/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)/a*tanh(1/2*d*x+1/2*c)^3+1/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)/a*tanh(1/2*d*x+1/2*c)-1/2/d/a/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-1/2/d/a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))*b+1/2/d/a/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-1/2/d/a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))*b","B"
334,1,57,54,0.033000," ","int(cosh(d*x+c)/(a+b*sinh(d*x+c)^2)^2,x)","\frac{\sinh \left(d x +c \right)}{2 a d \left(a +b \left(\sinh^{2}\left(d x +c \right)\right)\right)}+\frac{\arctan \left(\frac{\sinh \left(d x +c \right) b}{\sqrt{a b}}\right)}{2 d a \sqrt{a b}}"," ",0,"1/2*sinh(d*x+c)/a/d/(a+b*sinh(d*x+c)^2)+1/2/d/a/(a*b)^(1/2)*arctan(sinh(d*x+c)*b/(a*b)^(1/2))","A"
335,1,1080,94,0.150000," ","int(sech(d*x+c)/(a+b*sinh(d*x+c)^2)^2,x)","\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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)}-\frac{b^{2} \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right) a}-\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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)}+\frac{b^{2} \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right) a}+\frac{3 b a \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{2 d \left(a -b \right)^{2} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{3 b \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{2 d \left(a -b \right)^{2} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{2 b^{2} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \left(a -b \right)^{2} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{3 b a \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{2 d \left(a -b \right)^{2} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{3 b \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{2 d \left(a -b \right)^{2} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{2 b^{2} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \left(a -b \right)^{2} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{b^{2} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{2 d \left(a -b \right)^{2} a \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{b^{3} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{2 d \left(a -b \right)^{2} a \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{b^{2} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{2 d \left(a -b \right)^{2} a \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{b^{3} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{2 d \left(a -b \right)^{2} a \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{2 \arctan \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-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)*tanh(1/2*d*x+1/2*c)^3-1/d*b^2/(a-b)^2/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)/a*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-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)*tanh(1/2*d*x+1/2*c)+1/d*b^2/(a-b)^2/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)/a*tanh(1/2*d*x+1/2*c)+3/2/d*b/(a-b)^2*a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-3/2/d*b/(a-b)^2/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-2/d*b^2/(a-b)^2/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+3/2/d*b/(a-b)^2*a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+3/2/d*b/(a-b)^2/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-2/d*b^2/(a-b)^2/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+1/2/d*b^2/(a-b)^2/a/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+1/2/d*b^3/(a-b)^2/a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-1/2/d*b^2/(a-b)^2/a/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+1/2/d*b^3/(a-b)^2/a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+2/d/(a-b)^2*arctan(tanh(1/2*d*x+1/2*c))","B"
336,1,798,102,0.145000," ","int(sech(d*x+c)^2/(a+b*sinh(d*x+c)^2)^2,x)","\frac{b^{2} \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right) a}+\frac{b^{2} \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right) a}+\frac{2 b \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \left(a -b \right)^{2} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{2 b^{2} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \left(a -b \right)^{2} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{2 b \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \left(a -b \right)^{2} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{2 b^{2} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \left(a -b \right)^{2} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{b^{2} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{2 d \left(a -b \right)^{2} a \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{b^{3} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{2 d \left(a -b \right)^{2} a \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{b^{2} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{2 d \left(a -b \right)^{2} a \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{b^{3} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{2 d \left(a -b \right)^{2} a \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d \left(a -b \right)^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}"," ",0,"1/d*b^2/(a-b)^2/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)/a*tanh(1/2*d*x+1/2*c)^3+1/d*b^2/(a-b)^2/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)/a*tanh(1/2*d*x+1/2*c)+2/d*b/(a-b)^2/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+2/d*b^2/(a-b)^2/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-2/d*b/(a-b)^2/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+2/d*b^2/(a-b)^2/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-1/2/d*b^2/(a-b)^2/a/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-1/2/d*b^3/(a-b)^2/a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+1/2/d*b^2/(a-b)^2/a/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-1/2/d*b^3/(a-b)^2/a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+2/d/(a-b)^2*tanh(1/2*d*x+1/2*c)/(tanh(1/2*d*x+1/2*c)^2+1)","B"
337,1,1265,141,0.179000," ","int(sech(d*x+c)^3/(a+b*sinh(d*x+c)^2)^2,x)","-\frac{b^{2} \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)}+\frac{b^{3} \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right) a}+\frac{b^{2} \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)}-\frac{b^{3} \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right) a}-\frac{5 b^{2} a \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{2 d \left(a -b \right)^{3} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{5 b^{2} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{2 d \left(a -b \right)^{3} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{3 b^{3} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \left(a -b \right)^{3} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{5 b^{2} a \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{2 d \left(a -b \right)^{3} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{5 b^{2} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{2 d \left(a -b \right)^{3} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{3 b^{3} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \left(a -b \right)^{3} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{b^{3} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{2 d \left(a -b \right)^{3} a \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{b^{4} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{2 d \left(a -b \right)^{3} a \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{b^{3} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{2 d \left(a -b \right)^{3} a \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{b^{4} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{2 d \left(a -b \right)^{3} a \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{\left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a}{d \left(a -b \right)^{3} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{\left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{d \left(a -b \right)^{3} \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) a}{d \left(a -b \right)^{3} \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) b}{d \left(a -b \right)^{3} \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) a}{d \left(a -b \right)^{3}}-\frac{5 \arctan \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{d \left(a -b \right)^{3}}"," ",0,"-1/d*b^2/(a-b)^3/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)*tanh(1/2*d*x+1/2*c)^3+1/d*b^3/(a-b)^3/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)/a*tanh(1/2*d*x+1/2*c)^3+1/d*b^2/(a-b)^3/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)*tanh(1/2*d*x+1/2*c)-1/d*b^3/(a-b)^3/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)/a*tanh(1/2*d*x+1/2*c)-5/2/d*b^2/(a-b)^3*a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+5/2/d*b^2/(a-b)^3/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+3/d*b^3/(a-b)^3/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-5/2/d*b^2/(a-b)^3*a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-5/2/d*b^2/(a-b)^3/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+3/d*b^3/(a-b)^3/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-1/2/d*b^3/(a-b)^3/a/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-1/2/d*b^4/(a-b)^3/a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+1/2/d*b^3/(a-b)^3/a/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-1/2/d*b^4/(a-b)^3/a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-1/d/(a-b)^3/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)^3*a+1/d/(a-b)^3/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)^3*b+1/d/(a-b)^3/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)*a-1/d/(a-b)^3/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)*b+1/d/(a-b)^3*arctan(tanh(1/2*d*x+1/2*c))*a-5/d/(a-b)^3*arctan(tanh(1/2*d*x+1/2*c))*b","B"
338,1,998,129,0.177000," ","int(sech(d*x+c)^4/(a+b*sinh(d*x+c)^2)^2,x)","-\frac{b^{3} \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right) a}-\frac{b^{3} \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right) a}-\frac{3 b^{2} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \left(a -b \right)^{3} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{3 b^{3} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \left(a -b \right)^{3} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{3 b^{2} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \left(a -b \right)^{3} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{3 b^{3} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \left(a -b \right)^{3} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{b^{3} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{2 d \left(a -b \right)^{3} a \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{b^{4} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{2 d \left(a -b \right)^{3} a \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{b^{3} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{2 d \left(a -b \right)^{3} a \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{b^{4} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{2 d \left(a -b \right)^{3} a \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{2 \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a}{d \left(a -b \right)^{3} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}-\frac{6 \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{d \left(a -b \right)^{3} \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}{3 d \left(a -b \right)^{3} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}-\frac{28 \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{3 d \left(a -b \right)^{3} \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 \left(a -b \right)^{3} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}-\frac{6 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b}{d \left(a -b \right)^{3} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}"," ",0,"-1/d*b^3/(a-b)^3/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)/a*tanh(1/2*d*x+1/2*c)^3-1/d*b^3/(a-b)^3/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)/a*tanh(1/2*d*x+1/2*c)-3/d*b^2/(a-b)^3/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-3/d*b^3/(a-b)^3/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+3/d*b^2/(a-b)^3/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-3/d*b^3/(a-b)^3/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+1/2/d*b^3/(a-b)^3/a/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+1/2/d*b^4/(a-b)^3/a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-1/2/d*b^3/(a-b)^3/a/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+1/2/d*b^4/(a-b)^3/a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+2/d/(a-b)^3/(tanh(1/2*d*x+1/2*c)^2+1)^3*tanh(1/2*d*x+1/2*c)^5*a-6/d/(a-b)^3/(tanh(1/2*d*x+1/2*c)^2+1)^3*tanh(1/2*d*x+1/2*c)^5*b+4/3/d/(a-b)^3/(tanh(1/2*d*x+1/2*c)^2+1)^3*tanh(1/2*d*x+1/2*c)^3*a-28/3/d/(a-b)^3/(tanh(1/2*d*x+1/2*c)^2+1)^3*tanh(1/2*d*x+1/2*c)^3*b+2/d/(a-b)^3/(tanh(1/2*d*x+1/2*c)^2+1)^3*tanh(1/2*d*x+1/2*c)*a-6/d/(a-b)^3/(tanh(1/2*d*x+1/2*c)^2+1)^3*tanh(1/2*d*x+1/2*c)*b","B"
339,1,2048,146,0.139000," ","int(cosh(d*x+c)^6/(a+b*sinh(d*x+c)^2)^3,x)","\text{Expression too large to display}"," ",0,"-3/8/d/a^2/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+3/8/d/a^2/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+7/4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a*tanh(1/2*d*x+1/2*c)^3+5/4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a*tanh(1/2*d*x+1/2*c)^7+7/4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a*tanh(1/2*d*x+1/2*c)^5-1/4/d/b/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*tanh(1/2*d*x+1/2*c)^7-23/4/d/b/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*tanh(1/2*d*x+1/2*c)^5-23/4/d/b/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*tanh(1/2*d*x+1/2*c)^3-1/4/d/b/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*tanh(1/2*d*x+1/2*c)-1/2/d/b^2/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+1/2/d/b^2/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+5/4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a*tanh(1/2*d*x+1/2*c)-3/8/d*b/a^2/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-3/8/d*b/a^2/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+1/d/b^2*a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+1/d/b^2*a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+1/d/b^3*a/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-1/8/d/a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-1/8/d/a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-1/d/b^3*a/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+1/d/b^2/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*a*tanh(1/2*d*x+1/2*c)^3+3/d*b/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a^2*tanh(1/2*d*x+1/2*c)^3-1/d/b^2/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*a*tanh(1/2*d*x+1/2*c)-1/d/b^2/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*a*tanh(1/2*d*x+1/2*c)^7+1/d/b^2/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*a*tanh(1/2*d*x+1/2*c)^5-1/8/d/b/a/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+1/8/d/b/a/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-1/2/d/b/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-1/2/d/b/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+3/d*b/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a^2*tanh(1/2*d*x+1/2*c)^5-1/d/b^3*ln(tanh(1/2*d*x+1/2*c)-1)+1/d/b^3*ln(tanh(1/2*d*x+1/2*c)+1)","B"
340,1,1884,119,0.122000," ","int(cosh(d*x+c)^5/(a+b*sinh(d*x+c)^2)^3,x)","\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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a}+\frac{7 \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a}+\frac{\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)}{2 d b \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2}}+\frac{7 \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{2 d b \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2}}-\frac{7 \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{2 d b \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2}}-\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{2 d b \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2}}-\frac{3 \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{8 d \,b^{2} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{7 \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a}-\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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a}+\frac{3 \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{8 d \,a^{2} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{3 \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{8 d \,b^{2} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{3 \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{8 d \,a^{2} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{3 b \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{8 d \,a^{2} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{3 a \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{8 d \,b^{2} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{3 b \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{8 d \,a^{2} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{3 a \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{8 d \,b^{2} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{\arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{8 d a \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{9 a \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \,b^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2}}+\frac{3 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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a^{2}}-\frac{3 a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{4 d \,b^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2}}+\frac{3 a \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \,b^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2}}-\frac{9 a \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d \,b^{2} \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2}}-\frac{3 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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a^{2}}-\frac{\arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{8 d a \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{\arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{4 d b a \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{\arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{8 d b \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{\arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{4 d b a \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{\arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{8 d b \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}"," ",0,"3/8/d/a^2/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-3/8/d/a^2/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-7/4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a*tanh(1/2*d*x+1/2*c)^3-5/4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a*tanh(1/2*d*x+1/2*c)^7+7/4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a*tanh(1/2*d*x+1/2*c)^5+1/2/d/b/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*tanh(1/2*d*x+1/2*c)^7+7/2/d/b/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*tanh(1/2*d*x+1/2*c)^5-7/2/d/b/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*tanh(1/2*d*x+1/2*c)^3-1/2/d/b/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*tanh(1/2*d*x+1/2*c)+3/8/d/b^2/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-3/8/d/b^2/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+5/4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a*tanh(1/2*d*x+1/2*c)+3/8/d*b/a^2/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+3/8/d*b/a^2/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-3/8/d/b^2*a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-3/8/d/b^2*a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-1/8/d/a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-1/8/d/a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+9/4/d/b^2/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*a*tanh(1/2*d*x+1/2*c)^3+3/d*b/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a^2*tanh(1/2*d*x+1/2*c)^3-3/4/d/b^2/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*a*tanh(1/2*d*x+1/2*c)+3/4/d/b^2/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*a*tanh(1/2*d*x+1/2*c)^7-9/4/d/b^2/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*a*tanh(1/2*d*x+1/2*c)^5+1/4/d/b/a/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-1/4/d/b/a/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+1/8/d/b/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+1/8/d/b/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-3/d*b/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a^2*tanh(1/2*d*x+1/2*c)^5","B"
341,1,664,100,0.123000," ","int(cosh(d*x+c)^4/(a+b*sinh(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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a}+\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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a}+\frac{3 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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a^{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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a}+\frac{3 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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a^{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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a}-\frac{3 \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{8 d \,a^{2} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{3 b \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{8 d \,a^{2} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{3 \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{8 d \,a^{2} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{3 b \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{8 d \,a^{2} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}"," ",0,"5/4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a*tanh(1/2*d*x+1/2*c)^7+3/4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a*tanh(1/2*d*x+1/2*c)^5+3/d*b/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a^2*tanh(1/2*d*x+1/2*c)^5+3/4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a*tanh(1/2*d*x+1/2*c)^3+3/d*b/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a^2*tanh(1/2*d*x+1/2*c)^3+5/4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a*tanh(1/2*d*x+1/2*c)-3/8/d/a^2/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-3/8/d*b/a^2/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+3/8/d/a^2/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-3/8/d*b/a^2/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))","B"
342,1,1348,103,0.131000," ","int(cosh(d*x+c)^3/(a+b*sinh(d*x+c)^2)^3,x)","\frac{\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)}{4 d b \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2}}-\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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a}-\frac{3 \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d b \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2}}+\frac{11 \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a}-\frac{3 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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a^{2}}+\frac{3 \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{4 d b \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2}}-\frac{11 \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a}+\frac{3 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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a^{2}}-\frac{\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{4 d b \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a}-\frac{\arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{8 d b \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{\arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{8 d b a \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{\arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{4 d a \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{\arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{8 d b \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{\arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{8 d b a \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{\arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{4 d a \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{3 \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{8 d \,a^{2} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{3 b \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{8 d \,a^{2} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{3 \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{8 d \,a^{2} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{3 b \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{8 d \,a^{2} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}"," ",0,"1/4/d/b/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*tanh(1/2*d*x+1/2*c)^7-5/4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a*tanh(1/2*d*x+1/2*c)^7-3/4/d/b/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*tanh(1/2*d*x+1/2*c)^5+11/4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a*tanh(1/2*d*x+1/2*c)^5-3/d*b/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a^2*tanh(1/2*d*x+1/2*c)^5+3/4/d/b/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*tanh(1/2*d*x+1/2*c)^3-11/4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a*tanh(1/2*d*x+1/2*c)^3+3/d*b/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a^2*tanh(1/2*d*x+1/2*c)^3-1/4/d/b/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*tanh(1/2*d*x+1/2*c)+5/4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a*tanh(1/2*d*x+1/2*c)-1/8/d/b/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+1/8/d/b/a/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-1/4/d/a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-1/8/d/b/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-1/8/d/b/a/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-1/4/d/a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+3/8/d/a^2/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+3/8/d*b/a^2/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-3/8/d/a^2/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+3/8/d*b/a^2/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))","B"
343,1,1322,129,0.121000," ","int(cosh(d*x+c)^2/(a+b*sinh(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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a -b \right)}-\frac{5 \left(\tanh^{7}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a \left(a -b \right)}-\frac{\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a -b \right)}+\frac{13 \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a \left(a -b \right)}-\frac{3 \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b^{2}}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a^{2} \left(a -b \right)}-\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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a -b \right)}+\frac{13 \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a \left(a -b \right)}-\frac{3 \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b^{2}}{d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a^{2} \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} \left(a -b \right)}-\frac{5 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) b}{4 d \left(\left(\tanh^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a \left(a -b \right)}-\frac{\arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{2 d a \left(a -b \right) \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{\arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right) b}{2 d a \left(a -b \right) \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{\arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{2 d a \left(a -b \right) \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{\arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right) b}{2 d a \left(a -b \right) \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{3 b \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{8 d \,a^{2} \left(a -b \right) \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{3 \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right) b^{2}}{8 d \,a^{2} \left(a -b \right) \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{3 b \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{8 d \,a^{2} \left(a -b \right) \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{3 \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right) b^{2}}{8 d \,a^{2} \left(a -b \right) \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}"," ",0,"1/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/(a-b)*tanh(1/2*d*x+1/2*c)^7-5/4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a/(a-b)*tanh(1/2*d*x+1/2*c)^7*b-1/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/(a-b)*tanh(1/2*d*x+1/2*c)^5+13/4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a/(a-b)*tanh(1/2*d*x+1/2*c)^5*b-3/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a^2/(a-b)*tanh(1/2*d*x+1/2*c)^5*b^2-1/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/(a-b)*tanh(1/2*d*x+1/2*c)^3+13/4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a/(a-b)*tanh(1/2*d*x+1/2*c)^3*b-3/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a^2/(a-b)*tanh(1/2*d*x+1/2*c)^3*b^2+1/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/(a-b)*tanh(1/2*d*x+1/2*c)-5/4/d/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a/(a-b)*tanh(1/2*d*x+1/2*c)*b-1/2/d/a/(a-b)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-1/2/d/a/(a-b)/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))*b+1/2/d/a/(a-b)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-1/2/d/a/(a-b)/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))*b+3/8/d/a^2/(a-b)*b/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+3/8/d/a^2/(a-b)/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))*b^2-3/8/d/a^2/(a-b)*b/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+3/8/d/a^2/(a-b)/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))*b^2","B"
344,1,85,82,0.029000," ","int(cosh(d*x+c)/(a+b*sinh(d*x+c)^2)^3,x)","\frac{\sinh \left(d x +c \right)}{4 a d \left(a +b \left(\sinh^{2}\left(d x +c \right)\right)\right)^{2}}+\frac{3 \sinh \left(d x +c \right)}{8 a^{2} d \left(a +b \left(\sinh^{2}\left(d x +c \right)\right)\right)}+\frac{3 \arctan \left(\frac{\sinh \left(d x +c \right) b}{\sqrt{a b}}\right)}{8 d \,a^{2} \sqrt{a b}}"," ",0,"1/4*sinh(d*x+c)/a/d/(a+b*sinh(d*x+c)^2)^2+3/8*sinh(d*x+c)/a^2/d/(a+b*sinh(d*x+c)^2)+3/8/d/a^2/(a*b)^(1/2)*arctan(sinh(d*x+c)*b/(a*b)^(1/2))","A"
345,1,2118,145,0.172000," ","int(sech(d*x+c)/(a+b*sinh(d*x+c)^2)^3,x)","\text{Expression too large to display}"," ",0,"13/8/d*b^3/(a-b)^3/a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-3/8/d*b^4/(a-b)^3/a^2/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+15/8/d*b/(a-b)^3*a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+15/8/d*b/(a-b)^3*a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+13/8/d*b^3/(a-b)^3/a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-3/8/d*b^4/(a-b)^3/a^2/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+5/4/d*b^2/(a-b)^3/a/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+3/d*b^4/(a-b)^3/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a^2*tanh(1/2*d*x+1/2*c)^5-35/2/d*b^2/(a-b)^3/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*tanh(1/2*d*x+1/2*c)^3+2/d/(a-b)^3*arctan(tanh(1/2*d*x+1/2*c))-27/4/d*b/(a-b)^3/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*a*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-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*a*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-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*a*tanh(1/2*d*x+1/2*c)-3/d*b^4/(a-b)^3/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a^2*tanh(1/2*d*x+1/2*c)^3+5/4/d*b^3/(a-b)^3/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a*tanh(1/2*d*x+1/2*c)^7+55/4/d*b^3/(a-b)^3/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a*tanh(1/2*d*x+1/2*c)^3-55/4/d*b^3/(a-b)^3/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a*tanh(1/2*d*x+1/2*c)^5-5/4/d*b^3/(a-b)^3/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a*tanh(1/2*d*x+1/2*c)-3/8/d*b^3/(a-b)^3/a^2/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-5/4/d*b^2/(a-b)^3/a/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+3/8/d*b^3/(a-b)^3/a^2/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-25/8/d*b^2/(a-b)^3/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-25/8/d*b^2/(a-b)^3/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+9/4/d*b/(a-b)^3/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*a*tanh(1/2*d*x+1/2*c)^7+7/2/d*b^2/(a-b)^3/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*tanh(1/2*d*x+1/2*c)+35/2/d*b^2/(a-b)^3/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*tanh(1/2*d*x+1/2*c)^5-7/2/d*b^2/(a-b)^3/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*tanh(1/2*d*x+1/2*c)^7-15/8/d*b/(a-b)^3/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+15/8/d*b/(a-b)^3/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))","B"
346,1,1694,158,0.163000," ","int(sech(d*x+c)^2/(a+b*sinh(d*x+c)^2)^3,x)","-\frac{5 b^{3} \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a}+\frac{3 b^{2} \left(\tanh^{7}\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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2}}-\frac{3 b^{2} \left(\tanh^{5}\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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2}}+\frac{45 b^{3} \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a}-\frac{3 b^{4} \left(\tanh^{5}\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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a^{2}}-\frac{3 b^{2} \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2}}+\frac{45 b^{3} \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a}-\frac{3 b^{4} \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a^{2}}-\frac{5 b^{3} \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a}+\frac{3 b^{2} \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2}}+\frac{3 b \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \left(a -b \right)^{3} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{3 b^{2} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{2 d \left(a -b \right)^{3} a \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{3 b^{3} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{8 d \left(a -b \right)^{3} a^{2} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{3 b^{2} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \left(a -b \right)^{3} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{3 b^{3} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{2 d \left(a -b \right)^{3} a \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{3 b^{4} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{8 d \left(a -b \right)^{3} a^{2} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{3 b \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \left(a -b \right)^{3} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{3 b^{2} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{2 d \left(a -b \right)^{3} a \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{3 b^{3} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{8 d \left(a -b \right)^{3} a^{2} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{3 b^{2} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \left(a -b \right)^{3} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{3 b^{3} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{2 d \left(a -b \right)^{3} a \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{3 b^{4} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{8 d \left(a -b \right)^{3} a^{2} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{2 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d \left(a -b \right)^{3} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}"," ",0,"-5/4/d*b^3/(a-b)^3/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a*tanh(1/2*d*x+1/2*c)^7+3/d*b^2/(a-b)^3/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*tanh(1/2*d*x+1/2*c)^7-3/d*b^2/(a-b)^3/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*tanh(1/2*d*x+1/2*c)^5+45/4/d*b^3/(a-b)^3/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a*tanh(1/2*d*x+1/2*c)^5-3/d*b^4/(a-b)^3/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a^2*tanh(1/2*d*x+1/2*c)^5-3/d*b^2/(a-b)^3/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*tanh(1/2*d*x+1/2*c)^3+45/4/d*b^3/(a-b)^3/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a*tanh(1/2*d*x+1/2*c)^3-3/d*b^4/(a-b)^3/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a^2*tanh(1/2*d*x+1/2*c)^3-5/4/d*b^3/(a-b)^3/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a*tanh(1/2*d*x+1/2*c)+3/d*b^2/(a-b)^3/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*tanh(1/2*d*x+1/2*c)+3/d*b/(a-b)^3/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-3/2/d*b^2/(a-b)^3/a/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+3/8/d*b^3/(a-b)^3/a^2/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+3/d*b^2/(a-b)^3/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-3/2/d*b^3/(a-b)^3/a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+3/8/d*b^4/(a-b)^3/a^2/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-3/d*b/(a-b)^3/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+3/2/d*b^2/(a-b)^3/a/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-3/8/d*b^3/(a-b)^3/a^2/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+3/d*b^2/(a-b)^3/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-3/2/d*b^3/(a-b)^3/a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+3/8/d*b^4/(a-b)^3/a^2/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+2/d/(a-b)^3*tanh(1/2*d*x+1/2*c)/(tanh(1/2*d*x+1/2*c)^2+1)","B"
347,1,2307,199,0.214000," ","int(sech(d*x+c)^3/(a+b*sinh(d*x+c)^2)^3,x)","\text{Expression too large to display}"," ",0,"-35/8/d*b^2/(a-b)^4*a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-35/8/d*b^2/(a-b)^4*a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-17/8/d*b^4/(a-b)^4/a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+3/8/d*b^5/(a-b)^4/a^2/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-17/8/d*b^4/(a-b)^4/a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+3/8/d*b^5/(a-b)^4/a^2/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+35/8/d*b^2/(a-b)^4/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-35/8/d*b^2/(a-b)^4/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-1/d/(a-b)^4/(tanh(1/2*d*x+1/2*c)^2+1)^2*a*tanh(1/2*d*x+1/2*c)^3+1/d/(a-b)^4/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)^3*b+1/d/(a-b)^4/(tanh(1/2*d*x+1/2*c)^2+1)^2*a*tanh(1/2*d*x+1/2*c)-1/d/(a-b)^4/(tanh(1/2*d*x+1/2*c)^2+1)^2*tanh(1/2*d*x+1/2*c)*b+9/2/d*b^3/(a-b)^4/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*tanh(1/2*d*x+1/2*c)^7-49/2/d*b^3/(a-b)^4/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*tanh(1/2*d*x+1/2*c)^5+49/2/d*b^3/(a-b)^4/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*tanh(1/2*d*x+1/2*c)^3-9/2/d*b^3/(a-b)^4/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*tanh(1/2*d*x+1/2*c)+1/d/(a-b)^4*arctan(tanh(1/2*d*x+1/2*c))*a-7/d/(a-b)^4*arctan(tanh(1/2*d*x+1/2*c))*b-7/4/d*b^3/(a-b)^4/a/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+3/8/d*b^4/(a-b)^4/a^2/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+7/4/d*b^3/(a-b)^4/a/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-5/4/d*b^4/(a-b)^4/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a*tanh(1/2*d*x+1/2*c)^7+71/4/d*b^4/(a-b)^4/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a*tanh(1/2*d*x+1/2*c)^5-3/d*b^5/(a-b)^4/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a^2*tanh(1/2*d*x+1/2*c)^5-71/4/d*b^4/(a-b)^4/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a*tanh(1/2*d*x+1/2*c)^3-3/8/d*b^4/(a-b)^4/a^2/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+49/8/d*b^3/(a-b)^4/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+49/8/d*b^3/(a-b)^4/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+3/d*b^5/(a-b)^4/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a^2*tanh(1/2*d*x+1/2*c)^3+5/4/d*b^4/(a-b)^4/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a*tanh(1/2*d*x+1/2*c)-13/4/d*b^2/(a-b)^4/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*a*tanh(1/2*d*x+1/2*c)^7+39/4/d*b^2/(a-b)^4/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*a*tanh(1/2*d*x+1/2*c)^5-39/4/d*b^2/(a-b)^4/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*a*tanh(1/2*d*x+1/2*c)^3+13/4/d*b^2/(a-b)^4/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*a*tanh(1/2*d*x+1/2*c)","B"
348,1,1892,187,0.198000," ","int(sech(d*x+c)^4/(a+b*sinh(d*x+c)^2)^3,x)","\frac{5 b^{4} \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a}-\frac{61 b^{4} \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a}+\frac{3 b^{5} \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a^{2}}-\frac{61 b^{4} \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a}+\frac{3 b^{5} \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a^{2}}+\frac{2 b^{4} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \left(a -b \right)^{4} a \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{3 b^{5} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{8 d \left(a -b \right)^{4} a^{2} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{2 b^{4} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \left(a -b \right)^{4} a \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{3 b^{5} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{8 d \left(a -b \right)^{4} a^{2} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{6 b^{2} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \left(a -b \right)^{4} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}+\frac{6 b^{2} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \left(a -b \right)^{4} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{2 \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a}{d \left(a -b \right)^{4} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}-\frac{8 b \left(\tanh^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(a -b \right)^{4} \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}{3 d \left(a -b \right)^{4} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}-\frac{40 b \left(\tanh^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{3 d \left(a -b \right)^{4} \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 \left(a -b \right)^{4} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}-\frac{8 b \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d \left(a -b \right)^{4} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}+\frac{4 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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2}}+\frac{4 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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2}}-\frac{4 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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2}}-\frac{4 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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2}}+\frac{5 b^{4} \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 -2 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) a +4 \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right) b +a \right)^{2} a}+\frac{2 b^{3} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \left(a -b \right)^{4} a \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{3 b^{4} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{8 d \left(a -b \right)^{4} a^{2} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{6 b^{3} \arctan \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}\right)}{d \left(a -b \right)^{4} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}-a +2 b \right) a}}-\frac{2 b^{3} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \left(a -b \right)^{4} a \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}+\frac{3 b^{4} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{8 d \left(a -b \right)^{4} a^{2} \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}-\frac{6 b^{3} \arctanh \left(\frac{a \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{\sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}\right)}{d \left(a -b \right)^{4} \sqrt{-b \left(a -b \right)}\, \sqrt{\left(2 \sqrt{-b \left(a -b \right)}+a -2 b \right) a}}"," ",0,"2/d*b^4/(a-b)^4/a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-3/8/d*b^5/(a-b)^4/a^2/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+2/d*b^4/(a-b)^4/a/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-3/8/d*b^5/(a-b)^4/a^2/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-6/d*b^2/(a-b)^4/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))+6/d*b^2/(a-b)^4/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-4/d*b^3/(a-b)^4/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*tanh(1/2*d*x+1/2*c)^7+4/d*b^3/(a-b)^4/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*tanh(1/2*d*x+1/2*c)^5+4/d*b^3/(a-b)^4/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*tanh(1/2*d*x+1/2*c)^3-4/d*b^3/(a-b)^4/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2*tanh(1/2*d*x+1/2*c)+2/d/(a-b)^4/(tanh(1/2*d*x+1/2*c)^2+1)^3*tanh(1/2*d*x+1/2*c)^5*a-8/d/(a-b)^4/(tanh(1/2*d*x+1/2*c)^2+1)^3*b*tanh(1/2*d*x+1/2*c)^5+4/3/d/(a-b)^4/(tanh(1/2*d*x+1/2*c)^2+1)^3*tanh(1/2*d*x+1/2*c)^3*a-40/3/d/(a-b)^4/(tanh(1/2*d*x+1/2*c)^2+1)^3*b*tanh(1/2*d*x+1/2*c)^3+2/d/(a-b)^4/(tanh(1/2*d*x+1/2*c)^2+1)^3*tanh(1/2*d*x+1/2*c)*a-8/d/(a-b)^4/(tanh(1/2*d*x+1/2*c)^2+1)^3*b*tanh(1/2*d*x+1/2*c)+2/d*b^3/(a-b)^4/a/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-3/8/d*b^4/(a-b)^4/a^2/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-2/d*b^3/(a-b)^4/a/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+5/4/d*b^4/(a-b)^4/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a*tanh(1/2*d*x+1/2*c)^7-61/4/d*b^4/(a-b)^4/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a*tanh(1/2*d*x+1/2*c)^5+3/d*b^5/(a-b)^4/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a^2*tanh(1/2*d*x+1/2*c)^5-61/4/d*b^4/(a-b)^4/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a*tanh(1/2*d*x+1/2*c)^3+3/8/d*b^4/(a-b)^4/a^2/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))-6/d*b^3/(a-b)^4/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2)*arctan(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)-a+2*b)*a)^(1/2))-6/d*b^3/(a-b)^4/(-b*(a-b))^(1/2)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2)*arctanh(a*tanh(1/2*d*x+1/2*c)/((2*(-b*(a-b))^(1/2)+a-2*b)*a)^(1/2))+3/d*b^5/(a-b)^4/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a^2*tanh(1/2*d*x+1/2*c)^3+5/4/d*b^4/(a-b)^4/(tanh(1/2*d*x+1/2*c)^4*a-2*tanh(1/2*d*x+1/2*c)^2*a+4*tanh(1/2*d*x+1/2*c)^2*b+a)^2/a*tanh(1/2*d*x+1/2*c)","B"
349,1,54,15,0.058000," ","int(cosh(x)^2/(1-sinh(x)^2),x)","\ln \left(\tanh \left(\frac{x}{2}\right)-1\right)+\sqrt{2}\, \arctanh \left(\frac{\left(2 \tanh \left(\frac{x}{2}\right)-2\right) \sqrt{2}}{4}\right)-\ln \left(\tanh \left(\frac{x}{2}\right)+1\right)+\sqrt{2}\, \arctanh \left(\frac{\left(2 \tanh \left(\frac{x}{2}\right)+2\right) \sqrt{2}}{4}\right)"," ",0,"ln(tanh(1/2*x)-1)+2^(1/2)*arctanh(1/4*(2*tanh(1/2*x)-2)*2^(1/2))-ln(tanh(1/2*x)+1)+2^(1/2)*arctanh(1/4*(2*tanh(1/2*x)+2)*2^(1/2))","B"
350,1,50,10,0.053000," ","int(cosh(x)^3/(1-sinh(x)^2),x)","\ln \left(\tanh^{2}\left(\frac{x}{2}\right)-2 \tanh \left(\frac{x}{2}\right)-1\right)+\frac{1}{\tanh \left(\frac{x}{2}\right)+1}-\ln \left(\tanh^{2}\left(\frac{x}{2}\right)+2 \tanh \left(\frac{x}{2}\right)-1\right)+\frac{1}{\tanh \left(\frac{x}{2}\right)-1}"," ",0,"ln(tanh(1/2*x)^2-2*tanh(1/2*x)-1)+1/(tanh(1/2*x)+1)-ln(tanh(1/2*x)^2+2*tanh(1/2*x)-1)+1/(tanh(1/2*x)-1)","B"
351,1,98,22,0.061000," ","int(cosh(x)^4/(1-sinh(x)^2),x)","-\frac{1}{2 \left(\tanh \left(\frac{x}{2}\right)-1\right)^{2}}-\frac{1}{2 \left(\tanh \left(\frac{x}{2}\right)-1\right)}+\frac{5 \ln \left(\tanh \left(\frac{x}{2}\right)-1\right)}{2}+2 \sqrt{2}\, \arctanh \left(\frac{\left(2 \tanh \left(\frac{x}{2}\right)-2\right) \sqrt{2}}{4}\right)+\frac{1}{2 \left(\tanh \left(\frac{x}{2}\right)+1\right)^{2}}-\frac{1}{2 \left(\tanh \left(\frac{x}{2}\right)+1\right)}-\frac{5 \ln \left(\tanh \left(\frac{x}{2}\right)+1\right)}{2}+2 \sqrt{2}\, \arctanh \left(\frac{\left(2 \tanh \left(\frac{x}{2}\right)+2\right) \sqrt{2}}{4}\right)"," ",0,"-1/2/(tanh(1/2*x)-1)^2-1/2/(tanh(1/2*x)-1)+5/2*ln(tanh(1/2*x)-1)+2*2^(1/2)*arctanh(1/4*(2*tanh(1/2*x)-2)*2^(1/2))+1/2/(tanh(1/2*x)+1)^2-1/2/(tanh(1/2*x)+1)-5/2*ln(tanh(1/2*x)+1)+2*2^(1/2)*arctanh(1/4*(2*tanh(1/2*x)+2)*2^(1/2))","B"
352,1,52,101,0.141000," ","int(cosh(f*x+e)^3*(a+b*sinh(f*x+e)^2)^(1/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}{\sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`((b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)/(a+b*sinh(f*x+e)^2)^(1/2),sinh(f*x+e))/f","C"
353,1,62,60,0.031000," ","int(cosh(f*x+e)*(a+b*sinh(f*x+e)^2)^(1/2),x)","\frac{\sinh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}}{2 f}+\frac{a \ln \left(\sqrt{b}\, \sinh \left(f x +e \right)+\sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\right)}{2 f \sqrt{b}}"," ",0,"1/2*sinh(f*x+e)*(a+b*sinh(f*x+e)^2)^(1/2)/f+1/2/f*a/b^(1/2)*ln(b^(1/2)*sinh(f*x+e)+(a+b*sinh(f*x+e)^2)^(1/2))","A"
354,1,51,73,0.130000," ","int(sech(f*x+e)*(a+b*sinh(f*x+e)^2)^(1/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(-\frac{-b \left(\sinh^{2}\left(f x +e \right)\right)-a}{\cosh \left(f x +e \right)^{2} \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`(-(-b*sinh(f*x+e)^2-a)/cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(1/2),sinh(f*x+e))/f","C"
355,1,35,74,0.135000," ","int(sech(f*x+e)^3*(a+b*sinh(f*x+e)^2)^(1/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{\sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}}{\cosh \left(f x +e \right)^{4}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`(1/cosh(f*x+e)^4*(a+b*sinh(f*x+e)^2)^(1/2),sinh(f*x+e))/f","C"
356,1,35,135,0.155000," ","int(sech(f*x+e)^5*(a+b*sinh(f*x+e)^2)^(1/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{\sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}}{\cosh \left(f x +e \right)^{6}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`(1/cosh(f*x+e)^6*(a+b*sinh(f*x+e)^2)^(1/2),sinh(f*x+e))/f","C"
357,1,521,357,0.190000," ","int(cosh(f*x+e)^4*(a+b*sinh(f*x+e)^2)^(1/2),x)","\frac{3 \sqrt{-\frac{b}{a}}\, b^{2} \sinh \left(f x +e \right) \left(\cosh^{6}\left(f x +e \right)\right)+4 \sqrt{-\frac{b}{a}}\, a b \sinh \left(f x +e \right) \left(\cosh^{4}\left(f x +e \right)\right)+\left(\sqrt{-\frac{b}{a}}\, a^{2}+2 \sqrt{-\frac{b}{a}}\, a b -3 \sqrt{-\frac{b}{a}}\, b^{2}\right) \left(\cosh^{2}\left(f x +e \right)\right) \sinh \left(f x +e \right)+a^{2} \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)+2 a \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b -3 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2}-2 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{2}+7 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a b +3 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2}}{15 b \sqrt{-\frac{b}{a}}\, \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"1/15*(3*(-1/a*b)^(1/2)*b^2*sinh(f*x+e)*cosh(f*x+e)^6+4*(-1/a*b)^(1/2)*a*b*sinh(f*x+e)*cosh(f*x+e)^4+((-1/a*b)^(1/2)*a^2+2*(-1/a*b)^(1/2)*a*b-3*(-1/a*b)^(1/2)*b^2)*cosh(f*x+e)^2*sinh(f*x+e)+a^2*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))+2*a*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b-3*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2-2*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^2+7*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b+3*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2)/b/(-1/a*b)^(1/2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
358,1,339,283,0.173000," ","int(cosh(f*x+e)^2*(a+b*sinh(f*x+e)^2)^(1/2),x)","\frac{\sqrt{-\frac{b}{a}}\, b \sinh \left(f x +e \right) \left(\cosh^{4}\left(f x +e \right)\right)+\left(\sqrt{-\frac{b}{a}}\, a -\sqrt{-\frac{b}{a}}\, b \right) \left(\cosh^{2}\left(f x +e \right)\right) \sinh \left(f x +e \right)+\sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a +\sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b +a \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)-\sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b}{3 \sqrt{-\frac{b}{a}}\, \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"1/3*((-1/a*b)^(1/2)*b*sinh(f*x+e)*cosh(f*x+e)^4+((-1/a*b)^(1/2)*a-(-1/a*b)^(1/2)*b)*cosh(f*x+e)^2*sinh(f*x+e)+(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a+(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b+a*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))-(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b)/(-1/a*b)^(1/2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
359,1,140,84,0.000000," ","int((a+b*sinh(f*x+e)^2)^(1/2),x)","\frac{\sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \left(a \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)-b \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)+b \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)\right)}{\sqrt{-\frac{b}{a}}\, \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*(a*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))-b*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))+b*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2)))/(-1/a*b)^(1/2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
360,1,177,106,0.185000," ","int(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)^(1/2),x)","\frac{\sqrt{-\frac{b}{a}}\, b \left(\sinh^{3}\left(f x +e \right)\right)+b \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)-b \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)+\sqrt{-\frac{b}{a}}\, a \sinh \left(f x +e \right)}{\sqrt{-\frac{b}{a}}\, \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"((-1/a*b)^(1/2)*b*sinh(f*x+e)^3+b*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))-b*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))+(-1/a*b)^(1/2)*a*sinh(f*x+e))/(-1/a*b)^(1/2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
361,1,318,270,0.246000," ","int(sech(f*x+e)^4*(a+b*sinh(f*x+e)^2)^(1/2),x)","\frac{\left(2 \sqrt{-\frac{b}{a}}\, a b -\sqrt{-\frac{b}{a}}\, b^{2}\right) \sinh \left(f x +e \right) \left(\cosh^{4}\left(f x +e \right)\right)+\left(2 \sqrt{-\frac{b}{a}}\, a^{2}-2 \sqrt{-\frac{b}{a}}\, a b \right) \left(\cosh^{2}\left(f x +e \right)\right) \sinh \left(f x +e \right)+\left(\sqrt{-\frac{b}{a}}\, a^{2}-2 \sqrt{-\frac{b}{a}}\, a b +\sqrt{-\frac{b}{a}}\, b^{2}\right) \sinh \left(f x +e \right)+\sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, b \left(a \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)-b \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)-2 \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a +b \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}{3 \cosh \left(f x +e \right)^{3} \left(a -b \right) \sqrt{-\frac{b}{a}}\, \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"1/3*((2*(-1/a*b)^(1/2)*a*b-(-1/a*b)^(1/2)*b^2)*sinh(f*x+e)*cosh(f*x+e)^4+(2*(-1/a*b)^(1/2)*a^2-2*(-1/a*b)^(1/2)*a*b)*cosh(f*x+e)^2*sinh(f*x+e)+((-1/a*b)^(1/2)*a^2-2*(-1/a*b)^(1/2)*a*b+(-1/a*b)^(1/2)*b^2)*sinh(f*x+e)+(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*b*(a*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))-b*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))-2*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a+b*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2)))*cosh(f*x+e)^2)/cosh(f*x+e)^3/(a-b)/(-1/a*b)^(1/2)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
362,1,77,137,0.168000," ","int(cosh(f*x+e)^3*(a+b*sinh(f*x+e)^2)^(3/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{b^{2} \left(\sinh^{6}\left(f x +e \right)\right)+\left(2 a b +b^{2}\right) \left(\sinh^{4}\left(f x +e \right)\right)+\left(a^{2}+2 a b \right) \left(\sinh^{2}\left(f x +e \right)\right)+a^{2}}{\sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`((b^2*sinh(f*x+e)^6+(2*a*b+b^2)*sinh(f*x+e)^4+(a^2+2*a*b)*sinh(f*x+e)^2+a^2)/(a+b*sinh(f*x+e)^2)^(1/2),sinh(f*x+e))/f","C"
363,1,90,88,0.034000," ","int(cosh(f*x+e)*(a+b*sinh(f*x+e)^2)^(3/2),x)","\frac{\sinh \left(f x +e \right) \left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right)^{\frac{3}{2}}}{4 f}+\frac{3 a \sinh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}}{8 f}+\frac{3 a^{2} \ln \left(\sqrt{b}\, \sinh \left(f x +e \right)+\sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\right)}{8 f \sqrt{b}}"," ",0,"1/4*sinh(f*x+e)*(a+b*sinh(f*x+e)^2)^(3/2)/f+3/8*a*sinh(f*x+e)*(a+b*sinh(f*x+e)^2)^(1/2)/f+3/8/f*a^2/b^(1/2)*ln(b^(1/2)*sinh(f*x+e)+(a+b*sinh(f*x+e)^2)^(1/2))","A"
364,1,63,107,0.130000," ","int(sech(f*x+e)*(a+b*sinh(f*x+e)^2)^(3/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{b^{2} \left(\sinh^{4}\left(f x +e \right)\right)+2 a b \left(\sinh^{2}\left(f x +e \right)\right)+a^{2}}{\cosh \left(f x +e \right)^{2} \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`((b^2*sinh(f*x+e)^4+2*a*b*sinh(f*x+e)^2+a^2)/cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(1/2),sinh(f*x+e))/f","C"
365,1,63,115,0.159000," ","int(sech(f*x+e)^3*(a+b*sinh(f*x+e)^2)^(3/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{b^{2} \left(\sinh^{4}\left(f x +e \right)\right)+2 a b \left(\sinh^{2}\left(f x +e \right)\right)+a^{2}}{\cosh \left(f x +e \right)^{4} \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`((b^2*sinh(f*x+e)^4+2*a*b*sinh(f*x+e)^2+a^2)/cosh(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(1/2),sinh(f*x+e))/f","C"
366,1,63,110,0.175000," ","int(sech(f*x+e)^5*(a+b*sinh(f*x+e)^2)^(3/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{b^{2} \left(\sinh^{4}\left(f x +e \right)\right)+2 a b \left(\sinh^{2}\left(f x +e \right)\right)+a^{2}}{\cosh \left(f x +e \right)^{6} \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`((b^2*sinh(f*x+e)^4+2*a*b*sinh(f*x+e)^2+a^2)/cosh(f*x+e)^6/(a+b*sinh(f*x+e)^2)^(1/2),sinh(f*x+e))/f","C"
367,1,63,185,0.178000," ","int(sech(f*x+e)^7*(a+b*sinh(f*x+e)^2)^(3/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{b^{2} \left(\sinh^{4}\left(f x +e \right)\right)+2 a b \left(\sinh^{2}\left(f x +e \right)\right)+a^{2}}{\cosh \left(f x +e \right)^{8} \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`((b^2*sinh(f*x+e)^4+2*a*b*sinh(f*x+e)^2+a^2)/cosh(f*x+e)^8/(a+b*sinh(f*x+e)^2)^(1/2),sinh(f*x+e))/f","C"
368,1,730,409,0.197000," ","int(cosh(f*x+e)^4*(a+b*sinh(f*x+e)^2)^(3/2),x)","\frac{5 \sqrt{-\frac{b}{a}}\, b^{3} \sinh \left(f x +e \right) \left(\cosh^{8}\left(f x +e \right)\right)+\left(13 \sqrt{-\frac{b}{a}}\, a \,b^{2}-7 \sqrt{-\frac{b}{a}}\, b^{3}\right) \left(\cosh^{6}\left(f x +e \right)\right) \sinh \left(f x +e \right)+\left(9 \sqrt{-\frac{b}{a}}\, a^{2} b -\sqrt{-\frac{b}{a}}\, a \,b^{2}\right) \left(\cosh^{4}\left(f x +e \right)\right) \sinh \left(f x +e \right)+\left(\sqrt{-\frac{b}{a}}\, a^{3}+8 \sqrt{-\frac{b}{a}}\, a^{2} b -11 \sqrt{-\frac{b}{a}}\, a \,b^{2}+2 \sqrt{-\frac{b}{a}}\, b^{3}\right) \left(\cosh^{2}\left(f x +e \right)\right) \sinh \left(f x +e \right)+\sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{3}+8 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{2} b -11 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a \,b^{2}+2 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{3}-2 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{3}+10 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{2} b +10 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a \,b^{2}-2 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{3}}{35 b \sqrt{-\frac{b}{a}}\, \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"1/35*(5*(-1/a*b)^(1/2)*b^3*sinh(f*x+e)*cosh(f*x+e)^8+(13*(-1/a*b)^(1/2)*a*b^2-7*(-1/a*b)^(1/2)*b^3)*cosh(f*x+e)^6*sinh(f*x+e)+(9*(-1/a*b)^(1/2)*a^2*b-(-1/a*b)^(1/2)*a*b^2)*cosh(f*x+e)^4*sinh(f*x+e)+((-1/a*b)^(1/2)*a^3+8*(-1/a*b)^(1/2)*a^2*b-11*(-1/a*b)^(1/2)*a*b^2+2*(-1/a*b)^(1/2)*b^3)*cosh(f*x+e)^2*sinh(f*x+e)+(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^3+8*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^2*b-11*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b^2+2*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^3-2*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^3+10*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^2*b+10*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b^2-2*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^3)/b/(-1/a*b)^(1/2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
369,1,535,355,0.188000," ","int(cosh(f*x+e)^2*(a+b*sinh(f*x+e)^2)^(3/2),x)","\frac{3 \sqrt{-\frac{b}{a}}\, b^{2} \sinh \left(f x +e \right) \left(\cosh^{6}\left(f x +e \right)\right)+\left(9 \sqrt{-\frac{b}{a}}\, a b -5 \sqrt{-\frac{b}{a}}\, b^{2}\right) \left(\cosh^{4}\left(f x +e \right)\right) \sinh \left(f x +e \right)+\left(6 \sqrt{-\frac{b}{a}}\, a^{2}-8 \sqrt{-\frac{b}{a}}\, a b +2 \sqrt{-\frac{b}{a}}\, b^{2}\right) \left(\cosh^{2}\left(f x +e \right)\right) \sinh \left(f x +e \right)+6 a^{2} \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)-8 a \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b +2 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2}+3 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{2}+7 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a b -2 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2}}{15 \sqrt{-\frac{b}{a}}\, \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"1/15*(3*(-1/a*b)^(1/2)*b^2*sinh(f*x+e)*cosh(f*x+e)^6+(9*(-1/a*b)^(1/2)*a*b-5*(-1/a*b)^(1/2)*b^2)*cosh(f*x+e)^4*sinh(f*x+e)+(6*(-1/a*b)^(1/2)*a^2-8*(-1/a*b)^(1/2)*a*b+2*(-1/a*b)^(1/2)*b^2)*cosh(f*x+e)^2*sinh(f*x+e)+6*a^2*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))-8*a*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b+2*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2+3*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^2+7*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b-2*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2)/(-1/a*b)^(1/2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
370,1,416,214,0.000000," ","int((a+b*sinh(f*x+e)^2)^(3/2),x)","\frac{\sqrt{-\frac{b}{a}}\, b^{2} \sinh \left(f x +e \right) \left(\cosh^{4}\left(f x +e \right)\right)+\left(\sqrt{-\frac{b}{a}}\, a b -\sqrt{-\frac{b}{a}}\, b^{2}\right) \left(\cosh^{2}\left(f x +e \right)\right) \sinh \left(f x +e \right)+3 a^{2} \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)-5 a \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b +2 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2}+4 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a b -2 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2}}{3 \sqrt{-\frac{b}{a}}\, \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"1/3*((-1/a*b)^(1/2)*b^2*sinh(f*x+e)*cosh(f*x+e)^4+((-1/a*b)^(1/2)*a*b-(-1/a*b)^(1/2)*b^2)*cosh(f*x+e)^2*sinh(f*x+e)+3*a^2*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))-5*a*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b+2*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2+4*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b-2*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2)/(-1/a*b)^(1/2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
371,1,334,278,0.170000," ","int(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)^(3/2),x)","\frac{\sqrt{-\frac{b}{a}}\, a b \left(\sinh^{3}\left(f x +e \right)\right)-\sqrt{-\frac{b}{a}}\, b^{2} \left(\sinh^{3}\left(f x +e \right)\right)+2 a \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b -2 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2}-\sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a b +2 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2}+\sqrt{-\frac{b}{a}}\, a^{2} \sinh \left(f x +e \right)-\sqrt{-\frac{b}{a}}\, a b \sinh \left(f x +e \right)}{\sqrt{-\frac{b}{a}}\, \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"((-1/a*b)^(1/2)*a*b*sinh(f*x+e)^3-(-1/a*b)^(1/2)*b^2*sinh(f*x+e)^3+2*a*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b-2*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2-((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b+2*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2+(-1/a*b)^(1/2)*a^2*sinh(f*x+e)-(-1/a*b)^(1/2)*a*b*sinh(f*x+e))/(-1/a*b)^(1/2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
372,1,328,257,0.192000," ","int(sech(f*x+e)^4*(a+b*sinh(f*x+e)^2)^(3/2),x)","-\frac{\left(-2 \sqrt{-\frac{b}{a}}\, a b -2 \sqrt{-\frac{b}{a}}\, b^{2}\right) \sinh \left(f x +e \right) \left(\cosh^{4}\left(f x +e \right)\right)+\left(-2 \sqrt{-\frac{b}{a}}\, a^{2}-\sqrt{-\frac{b}{a}}\, a b +3 \sqrt{-\frac{b}{a}}\, b^{2}\right) \left(\cosh^{2}\left(f x +e \right)\right) \sinh \left(f x +e \right)+\left(-\sqrt{-\frac{b}{a}}\, a^{2}+2 \sqrt{-\frac{b}{a}}\, a b -\sqrt{-\frac{b}{a}}\, b^{2}\right) \sinh \left(f x +e \right)+\sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, b \left(2 \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a +2 b \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)-a \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)-2 b \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}{3 \cosh \left(f x +e \right)^{3} \sqrt{-\frac{b}{a}}\, \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"-1/3*((-2*(-1/a*b)^(1/2)*a*b-2*(-1/a*b)^(1/2)*b^2)*sinh(f*x+e)*cosh(f*x+e)^4+(-2*(-1/a*b)^(1/2)*a^2-(-1/a*b)^(1/2)*a*b+3*(-1/a*b)^(1/2)*b^2)*cosh(f*x+e)^2*sinh(f*x+e)+(-(-1/a*b)^(1/2)*a^2+2*(-1/a*b)^(1/2)*a*b-(-1/a*b)^(1/2)*b^2)*sinh(f*x+e)+(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*b*(2*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a+2*b*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))-a*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))-2*b*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2)))*cosh(f*x+e)^2)/cosh(f*x+e)^3/(-1/a*b)^(1/2)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
373,1,35,67,0.117000," ","int(cosh(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(1/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{\cosh^{2}\left(f x +e \right)}{\sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`(cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(1/2),sinh(f*x+e))/f","C"
374,1,34,32,0.030000," ","int(cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2),x)","\frac{\ln \left(\sqrt{b}\, \sinh \left(f x +e \right)+\sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\right)}{f \sqrt{b}}"," ",0,"1/f*ln(b^(1/2)*sinh(f*x+e)+(a+b*sinh(f*x+e)^2)^(1/2))/b^(1/2)","A"
375,1,35,40,0.118000," ","int(sech(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{1}{\cosh \left(f x +e \right)^{2} \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`(1/cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(1/2),sinh(f*x+e))/f","C"
376,1,35,85,0.151000," ","int(sech(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(1/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{1}{\cosh \left(f x +e \right)^{4} \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`(1/cosh(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(1/2),sinh(f*x+e))/f","C"
377,1,344,301,0.178000," ","int(cosh(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(1/2),x)","\frac{\sqrt{-\frac{b}{a}}\, b \sinh \left(f x +e \right) \left(\cosh^{4}\left(f x +e \right)\right)+\left(\sqrt{-\frac{b}{a}}\, a -\sqrt{-\frac{b}{a}}\, b \right) \left(\cosh^{2}\left(f x +e \right)\right) \sinh \left(f x +e \right)+a \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)-\sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b -2 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a +4 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b}{3 b \sqrt{-\frac{b}{a}}\, \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"1/3*((-1/a*b)^(1/2)*b*sinh(f*x+e)*cosh(f*x+e)^4+((-1/a*b)^(1/2)*a-(-1/a*b)^(1/2)*b)*cosh(f*x+e)^2*sinh(f*x+e)+a*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))-(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b-2*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a+4*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b)/b/(-1/a*b)^(1/2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
378,1,86,247,0.125000," ","int(cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(1/2),x)","\frac{\sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)}{\sqrt{-\frac{b}{a}}\, \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))/(-1/a*b)^(1/2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
379,1,86,84,0.000000," ","int(1/(a+b*sinh(f*x+e)^2)^(1/2),x)","\frac{\sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)}{\sqrt{-\frac{b}{a}}\, \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"1/(-1/a*b)^(1/2)*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
380,1,133,232,0.203000," ","int(sech(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(1/2),x)","-\frac{-\sqrt{-\frac{b}{a}}\, b \left(\sinh^{3}\left(f x +e \right)\right)+b \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)-\sqrt{-\frac{b}{a}}\, a \sinh \left(f x +e \right)}{\left(a -b \right) \sqrt{-\frac{b}{a}}\, \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"-(-(-1/a*b)^(1/2)*b*sinh(f*x+e)^3+b*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))-(-1/a*b)^(1/2)*a*sinh(f*x+e))/(a-b)/(-1/a*b)^(1/2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
381,1,343,283,0.283000," ","int(sech(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(1/2),x)","\frac{\sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \left(2 \left(\cosh^{4}\left(f x +e \right)\right) \sqrt{-\frac{b}{a}}\, b \left(a -2 b \right) \sinh \left(f x +e \right)+\left(\cosh^{2}\left(f x +e \right)\right) \sqrt{-\frac{b}{a}}\, \left(2 a^{2}-5 a b +3 b^{2}\right) \sinh \left(f x +e \right)+\sqrt{-\frac{b}{a}}\, \left(a^{2}-2 a b +b^{2}\right) \sinh \left(f x +e \right)+\sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, b \left(a \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)-b \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)-2 \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a +4 b \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)\right)}{3 \cosh \left(f x +e \right)^{3} \sqrt{-\frac{b}{a}}\, \sqrt{b \left(\cosh^{4}\left(f x +e \right)\right)+\left(a -b \right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \left(a^{2}-2 a b +b^{2}\right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"1/3*((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)/cosh(f*x+e)^3/(-1/a*b)^(1/2)/(b*cosh(f*x+e)^4+(a-b)*cosh(f*x+e)^2)^(1/2)/(a^2-2*a*b+b^2)*(2*cosh(f*x+e)^4*(-1/a*b)^(1/2)*b*(a-2*b)*sinh(f*x+e)+cosh(f*x+e)^2*(-1/a*b)^(1/2)*(2*a^2-5*a*b+3*b^2)*sinh(f*x+e)+(-1/a*b)^(1/2)*(a^2-2*a*b+b^2)*sinh(f*x+e)+(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*b*(a*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))-b*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))-2*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a+4*b*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2)))*cosh(f*x+e)^2)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
382,1,35,69,0.116000," ","int(cosh(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(3/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{\cosh^{2}\left(f x +e \right)}{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right)^{\frac{3}{2}}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`(cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(3/2),sinh(f*x+e))/f","C"
383,1,28,27,0.026000," ","int(cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(3/2),x)","\frac{\sinh \left(f x +e \right)}{a f \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}}"," ",0,"sinh(f*x+e)/a/f/(a+b*sinh(f*x+e)^2)^(1/2)","A"
384,1,101,77,0.172000," ","int(sech(f*x+e)/(a+b*sinh(f*x+e)^2)^(3/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{-b \left(\sinh^{2}\left(f x +e \right)\right)-a}{\left(-b^{2} \left(\sinh^{6}\left(f x +e \right)\right)+\left(-2 a b -b^{2}\right) \left(\sinh^{4}\left(f x +e \right)\right)+\left(-a^{2}-2 a b \right) \left(\sinh^{2}\left(f x +e \right)\right)-a^{2}\right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`((-b*sinh(f*x+e)^2-a)/(-b^2*sinh(f*x+e)^6+(-2*a*b-b^2)*sinh(f*x+e)^4+(-a^2-2*a*b)*sinh(f*x+e)^2-a^2)/(a+b*sinh(f*x+e)^2)^(1/2),sinh(f*x+e))/f","C"
385,1,95,126,0.227000," ","int(sech(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(3/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(-\frac{\sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, \left(\cosh^{2}\left(f x +e \right)\right)}{-b^{2} \left(\cosh^{10}\left(f x +e \right)\right)+\left(-2 a b +2 b^{2}\right) \left(\cosh^{8}\left(f x +e \right)\right)+\left(-a^{2}+2 a b -b^{2}\right) \left(\cosh^{6}\left(f x +e \right)\right)}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`(-(a+b*sinh(f*x+e)^2)^(1/2)*cosh(f*x+e)^2/(-b^2*cosh(f*x+e)^10+(-2*a*b+2*b^2)*cosh(f*x+e)^8+(-a^2+2*a*b-b^2)*cosh(f*x+e)^6),sinh(f*x+e))/f","C"
386,1,498,383,0.184000," ","int(cosh(f*x+e)^6/(a+b*sinh(f*x+e)^2)^(3/2),x)","\frac{\sqrt{-\frac{b}{a}}\, a b \sinh \left(f x +e \right) \left(\cosh^{4}\left(f x +e \right)\right)+\left(4 \sqrt{-\frac{b}{a}}\, a^{2}-7 \sqrt{-\frac{b}{a}}\, a b +3 \sqrt{-\frac{b}{a}}\, b^{2}\right) \left(\cosh^{2}\left(f x +e \right)\right) \sinh \left(f x +e \right)+4 a^{2} \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)-7 a \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b +3 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2}-8 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{2}+13 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a b -3 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2}}{3 b^{2} \sqrt{-\frac{b}{a}}\, a \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"1/3*((-1/a*b)^(1/2)*a*b*sinh(f*x+e)*cosh(f*x+e)^4+(4*(-1/a*b)^(1/2)*a^2-7*(-1/a*b)^(1/2)*a*b+3*(-1/a*b)^(1/2)*b^2)*cosh(f*x+e)^2*sinh(f*x+e)+4*a^2*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))-7*a*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b+3*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2-8*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^2+13*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b-3*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2)/b^2/(-1/a*b)^(1/2)/a/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
387,1,322,312,0.194000," ","int(cosh(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(3/2),x)","-\frac{\left(\sqrt{-\frac{b}{a}}\, a -\sqrt{-\frac{b}{a}}\, b \right) \left(\cosh^{2}\left(f x +e \right)\right) \sinh \left(f x +e \right)+a \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)-\sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b -2 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a +\sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b}{b \sqrt{-\frac{b}{a}}\, a \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"-(((-1/a*b)^(1/2)*a-(-1/a*b)^(1/2)*b)*cosh(f*x+e)^2*sinh(f*x+e)+a*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))-(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b-2*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a+(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b)/b/(-1/a*b)^(1/2)/a/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
388,1,181,133,0.175000," ","int(cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(3/2),x)","\frac{\sqrt{-\frac{b}{a}}\, \sinh \left(f x +e \right) \left(\cosh^{2}\left(f x +e \right)\right)+\sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)-\sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)}{\sqrt{-\frac{b}{a}}\, a \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"((-1/a*b)^(1/2)*sinh(f*x+e)*cosh(f*x+e)^2+(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))-(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2)))/(-1/a*b)^(1/2)/a/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
389,1,253,137,0.000000," ","int(1/(a+b*sinh(f*x+e)^2)^(3/2),x)","-\frac{\sqrt{-\frac{b}{a}}\, b \sinh \left(f x +e \right) \left(\cosh^{2}\left(f x +e \right)\right)-a \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)+\sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b -\sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b}{a \left(a -b \right) \sqrt{-\frac{b}{a}}\, \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"-((-1/a*b)^(1/2)*b*sinh(f*x+e)*cosh(f*x+e)^2-a*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))+(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b-(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b)/a/(a-b)/(-1/a*b)^(1/2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
390,1,345,293,0.211000," ","int(sech(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(3/2),x)","-\frac{-\sqrt{-\frac{b}{a}}\, a b \left(\sinh^{3}\left(f x +e \right)\right)-\sqrt{-\frac{b}{a}}\, b^{2} \left(\sinh^{3}\left(f x +e \right)\right)+a \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b -\sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2}+\sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a b +\sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2}-\sqrt{-\frac{b}{a}}\, a^{2} \sinh \left(f x +e \right)-\sqrt{-\frac{b}{a}}\, b^{2} \sinh \left(f x +e \right)}{\left(a -b \right)^{2} a \sqrt{-\frac{b}{a}}\, \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"-(-(-1/a*b)^(1/2)*a*b*sinh(f*x+e)^3-(-1/a*b)^(1/2)*b^2*sinh(f*x+e)^3+a*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b-((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2+((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b+((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2-(-1/a*b)^(1/2)*a^2*sinh(f*x+e)-(-1/a*b)^(1/2)*b^2*sinh(f*x+e))/(a-b)^2/a/(-1/a*b)^(1/2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
391,1,65,120,0.144000," ","int(cosh(f*x+e)^5/(a+b*sinh(f*x+e)^2)^(5/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{\cosh^{4}\left(f x +e \right)}{\left(b^{2} \left(\sinh^{4}\left(f x +e \right)\right)+2 a b \left(\sinh^{2}\left(f x +e \right)\right)+a^{2}\right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`(cosh(f*x+e)^4/(b^2*sinh(f*x+e)^4+2*a*b*sinh(f*x+e)^2+a^2)/(a+b*sinh(f*x+e)^2)^(1/2),sinh(f*x+e))/f","C"
392,1,65,65,0.138000," ","int(cosh(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(5/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{\cosh^{2}\left(f x +e \right)}{\left(b^{2} \left(\sinh^{4}\left(f x +e \right)\right)+2 a b \left(\sinh^{2}\left(f x +e \right)\right)+a^{2}\right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`(cosh(f*x+e)^2/(b^2*sinh(f*x+e)^4+2*a*b*sinh(f*x+e)^2+a^2)/(a+b*sinh(f*x+e)^2)^(1/2),sinh(f*x+e))/f","C"
393,1,56,57,0.025000," ","int(cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(5/2),x)","\frac{\frac{\sinh \left(f x +e \right)}{3 a \left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right)^{\frac{3}{2}}}+\frac{2 \sinh \left(f x +e \right)}{3 a^{2} \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}}}{f}"," ",0,"1/f*(1/3*sinh(f*x+e)/a/(a+b*sinh(f*x+e)^2)^(3/2)+2/3/a^2*sinh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2))","A"
394,1,169,120,0.206000," ","int(sech(f*x+e)/(a+b*sinh(f*x+e)^2)^(5/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{-b^{2} \left(\sinh^{4}\left(f x +e \right)\right)-2 a b \left(\sinh^{2}\left(f x +e \right)\right)-a^{2}}{\left(-b^{4} \left(\sinh^{10}\left(f x +e \right)\right)+\left(-4 a \,b^{3}-b^{4}\right) \left(\sinh^{8}\left(f x +e \right)\right)+\left(-6 a^{2} b^{2}-4 a \,b^{3}\right) \left(\sinh^{6}\left(f x +e \right)\right)+\left(-4 a^{3} b -6 a^{2} b^{2}\right) \left(\sinh^{4}\left(f x +e \right)\right)+\left(-a^{4}-4 a^{3} b \right) \left(\sinh^{2}\left(f x +e \right)\right)-a^{4}\right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`((-b^2*sinh(f*x+e)^4-2*a*b*sinh(f*x+e)^2-a^2)/(-b^4*sinh(f*x+e)^10+(-4*a*b^3-b^4)*sinh(f*x+e)^8+(-6*a^2*b^2-4*a*b^3)*sinh(f*x+e)^6+(-4*a^3*b-6*a^2*b^2)*sinh(f*x+e)^4+(-a^4-4*a^3*b)*sinh(f*x+e)^2-a^4)/(a+b*sinh(f*x+e)^2)^(1/2),sinh(f*x+e))/f","C"
395,1,812,386,0.219000," ","int(cosh(f*x+e)^6/(a+b*sinh(f*x+e)^2)^(5/2),x)","-\frac{\left(5 \sqrt{-\frac{b}{a}}\, a^{2} b -3 \sqrt{-\frac{b}{a}}\, a \,b^{2}-2 \sqrt{-\frac{b}{a}}\, b^{3}\right) \sinh \left(f x +e \right) \left(\cosh^{4}\left(f x +e \right)\right)+\left(4 \sqrt{-\frac{b}{a}}\, a^{3}-6 \sqrt{-\frac{b}{a}}\, a^{2} b +2 \sqrt{-\frac{b}{a}}\, b^{3}\right) \left(\cosh^{2}\left(f x +e \right)\right) \sinh \left(f x +e \right)+\sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, b \left(4 \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{2}-2 \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a b -2 \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2}-8 \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{2}+3 \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a b +2 \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2}\right) \left(\cosh^{2}\left(f x +e \right)\right)+4 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{3}-6 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{2} b +2 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{3}-8 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{3}+11 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{2} b -\sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a \,b^{2}-2 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{3}}{3 a^{2} \left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right)^{\frac{3}{2}} \sqrt{-\frac{b}{a}}\, b^{2} \cosh \left(f x +e \right) f}"," ",0,"-1/3*((5*(-1/a*b)^(1/2)*a^2*b-3*(-1/a*b)^(1/2)*a*b^2-2*(-1/a*b)^(1/2)*b^3)*sinh(f*x+e)*cosh(f*x+e)^4+(4*(-1/a*b)^(1/2)*a^3-6*(-1/a*b)^(1/2)*a^2*b+2*(-1/a*b)^(1/2)*b^3)*cosh(f*x+e)^2*sinh(f*x+e)+(cosh(f*x+e)^2)^(1/2)*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*b*(4*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^2-2*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b-2*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2-8*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^2+3*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b+2*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2)*cosh(f*x+e)^2+4*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^3-6*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^2*b+2*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^3-8*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^3+11*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^2*b-(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b^2-2*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^3)/a^2/(a+b*sinh(f*x+e)^2)^(3/2)/(-1/a*b)^(1/2)/b^2/cosh(f*x+e)/f","B"
396,1,597,293,0.195000," ","int(cosh(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(5/2),x)","\frac{\left(2 \sqrt{-\frac{b}{a}}\, a b +2 \sqrt{-\frac{b}{a}}\, b^{2}\right) \sinh \left(f x +e \right) \left(\cosh^{4}\left(f x +e \right)\right)+\left(\sqrt{-\frac{b}{a}}\, a^{2}+\sqrt{-\frac{b}{a}}\, a b -2 \sqrt{-\frac{b}{a}}\, b^{2}\right) \left(\cosh^{2}\left(f x +e \right)\right) \sinh \left(f x +e \right)+\sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, b \left(a \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)+2 b \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)-2 \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a -2 b \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)+a^{2} \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)+a \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b -2 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2}-2 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{2}+2 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2}}{3 a^{2} \left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right)^{\frac{3}{2}} \sqrt{-\frac{b}{a}}\, b \cosh \left(f x +e \right) f}"," ",0,"1/3*((2*(-1/a*b)^(1/2)*a*b+2*(-1/a*b)^(1/2)*b^2)*sinh(f*x+e)*cosh(f*x+e)^4+((-1/a*b)^(1/2)*a^2+(-1/a*b)^(1/2)*a*b-2*(-1/a*b)^(1/2)*b^2)*cosh(f*x+e)^2*sinh(f*x+e)+(cosh(f*x+e)^2)^(1/2)*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*b*(a*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))+2*b*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))-2*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a-2*b*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2)))*cosh(f*x+e)^2+a^2*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))+a*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b-2*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2-2*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^2+2*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2)/a^2/(a+b*sinh(f*x+e)^2)^(3/2)/(-1/a*b)^(1/2)/b/cosh(f*x+e)/f","B"
397,1,662,298,0.224000," ","int(cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(5/2),x)","\frac{\sqrt{-\frac{b}{a}}\, a b \left(\sinh^{5}\left(f x +e \right)\right)-2 \sqrt{-\frac{b}{a}}\, b^{2} \left(\sinh^{5}\left(f x +e \right)\right)+2 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a b \left(\sinh^{2}\left(f x +e \right)\right)-2 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2} \left(\sinh^{2}\left(f x +e \right)\right)-\sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a b \left(\sinh^{2}\left(f x +e \right)\right)+2 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2} \left(\sinh^{2}\left(f x +e \right)\right)+2 \sqrt{-\frac{b}{a}}\, a^{2} \left(\sinh^{3}\left(f x +e \right)\right)-2 \sqrt{-\frac{b}{a}}\, a b \left(\sinh^{3}\left(f x +e \right)\right)-2 \sqrt{-\frac{b}{a}}\, b^{2} \left(\sinh^{3}\left(f x +e \right)\right)+2 a^{2} \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)-2 a \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b -\sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{2}+2 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a b +2 \sqrt{-\frac{b}{a}}\, a^{2} \sinh \left(f x +e \right)-3 \sqrt{-\frac{b}{a}}\, a b \sinh \left(f x +e \right)}{3 a^{2} \left(a -b \right) \left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right)^{\frac{3}{2}} \sqrt{-\frac{b}{a}}\, \cosh \left(f x +e \right) f}"," ",0,"1/3*((-1/a*b)^(1/2)*a*b*sinh(f*x+e)^5-2*(-1/a*b)^(1/2)*b^2*sinh(f*x+e)^5+2*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b*sinh(f*x+e)^2-2*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2*sinh(f*x+e)^2-((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b*sinh(f*x+e)^2+2*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2*sinh(f*x+e)^2+2*(-1/a*b)^(1/2)*a^2*sinh(f*x+e)^3-2*(-1/a*b)^(1/2)*a*b*sinh(f*x+e)^3-2*(-1/a*b)^(1/2)*b^2*sinh(f*x+e)^3+2*a^2*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))-2*a*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b-((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^2+2*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b+2*(-1/a*b)^(1/2)*a^2*sinh(f*x+e)-3*(-1/a*b)^(1/2)*a*b*sinh(f*x+e))/a^2/(a-b)/(a+b*sinh(f*x+e)^2)^(3/2)/(-1/a*b)^(1/2)/cosh(f*x+e)/f","B"
398,1,406,287,0.002000," ","int(1/(a+b*sinh(f*x+e)^2)^(5/2),x)","\frac{\sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \left(-\frac{\sinh \left(f x +e \right) \sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}}{3 a b \left(a -b \right) \left(\sinh^{2}\left(f x +e \right)+\frac{a}{b}\right)^{2}}-\frac{2 b \left(\cosh^{2}\left(f x +e \right)\right) \sinh \left(f x +e \right) \left(2 a -b \right)}{3 a^{2} \left(a -b \right)^{2} \sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}}+\frac{\left(3 a -b \right) \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)}{\left(3 a^{3}-6 a^{2} b +3 a \,b^{2}\right) \sqrt{-\frac{b}{a}}\, \sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}}-\frac{2 b \left(2 a -b \right) \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \left(\EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)-\EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)\right)}{3 a^{2} \left(a -b \right)^{2} \sqrt{-\frac{b}{a}}\, \sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}}\right)}{\cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)*(-1/3/a/b/(a-b)*sinh(f*x+e)*((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)/(sinh(f*x+e)^2+a/b)^2-2/3*b*cosh(f*x+e)^2/a^2/(a-b)^2*sinh(f*x+e)*(2*a-b)/((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)+(3*a-b)/(3*a^3-6*a^2*b+3*a*b^2)/(-1/a*b)^(1/2)*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)/((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))-2/3*b*(2*a-b)/a^2/(a-b)^2/(-1/a*b)^(1/2)*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)/((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)*(EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))-EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))))/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
399,1,1002,360,0.242000," ","int(sech(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(5/2),x)","-\frac{-3 \sqrt{-\frac{b}{a}}\, a^{2} b^{2} \left(\sinh^{5}\left(f x +e \right)\right)-7 \sqrt{-\frac{b}{a}}\, a \,b^{3} \left(\sinh^{5}\left(f x +e \right)\right)+2 \sqrt{-\frac{b}{a}}\, b^{4} \left(\sinh^{5}\left(f x +e \right)\right)+6 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{2} b^{2} \left(\sinh^{2}\left(f x +e \right)\right)-8 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a \,b^{3} \left(\sinh^{2}\left(f x +e \right)\right)+2 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{4} \left(\sinh^{2}\left(f x +e \right)\right)+3 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{2} b^{2} \left(\sinh^{2}\left(f x +e \right)\right)+7 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a \,b^{3} \left(\sinh^{2}\left(f x +e \right)\right)-2 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{4} \left(\sinh^{2}\left(f x +e \right)\right)-6 \sqrt{-\frac{b}{a}}\, a^{3} b \left(\sinh^{3}\left(f x +e \right)\right)-8 \sqrt{-\frac{b}{a}}\, a^{2} b^{2} \left(\sinh^{3}\left(f x +e \right)\right)-4 \sqrt{-\frac{b}{a}}\, a \,b^{3} \left(\sinh^{3}\left(f x +e \right)\right)+2 \sqrt{-\frac{b}{a}}\, b^{4} \left(\sinh^{3}\left(f x +e \right)\right)+6 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{3} b -8 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{2} b^{2}+2 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a \,b^{3}+3 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{3} b +7 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{2} b^{2}-2 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a \,b^{3}-3 \sqrt{-\frac{b}{a}}\, a^{4} \sinh \left(f x +e \right)-8 \sqrt{-\frac{b}{a}}\, a^{2} b^{2} \sinh \left(f x +e \right)+3 \sqrt{-\frac{b}{a}}\, a \,b^{3} \sinh \left(f x +e \right)}{3 \sqrt{-\frac{b}{a}}\, \left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right)^{\frac{3}{2}} a^{2} \left(a -b \right)^{3} \cosh \left(f x +e \right) f}"," ",0,"-1/3*(-3*(-1/a*b)^(1/2)*a^2*b^2*sinh(f*x+e)^5-7*(-1/a*b)^(1/2)*a*b^3*sinh(f*x+e)^5+2*(-1/a*b)^(1/2)*b^4*sinh(f*x+e)^5+6*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^2*b^2*sinh(f*x+e)^2-8*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b^3*sinh(f*x+e)^2+2*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^4*sinh(f*x+e)^2+3*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^2*b^2*sinh(f*x+e)^2+7*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b^3*sinh(f*x+e)^2-2*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^4*sinh(f*x+e)^2-6*(-1/a*b)^(1/2)*a^3*b*sinh(f*x+e)^3-8*(-1/a*b)^(1/2)*a^2*b^2*sinh(f*x+e)^3-4*(-1/a*b)^(1/2)*a*b^3*sinh(f*x+e)^3+2*(-1/a*b)^(1/2)*b^4*sinh(f*x+e)^3+6*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^3*b-8*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^2*b^2+2*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b^3+3*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^3*b+7*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^2*b^2-2*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b^3-3*(-1/a*b)^(1/2)*a^4*sinh(f*x+e)-8*(-1/a*b)^(1/2)*a^2*b^2*sinh(f*x+e)+3*(-1/a*b)^(1/2)*a*b^3*sinh(f*x+e))/(-1/a*b)^(1/2)/(a+b*sinh(f*x+e)^2)^(3/2)/a^2/(a-b)^3/cosh(f*x+e)/f","B"
400,0,0,105,0.724000," ","int((d*cosh(f*x+e))^m*(a+b*sinh(f*x+e)^2)^p,x)","\int \left(d \cosh \left(f x +e \right)\right)^{m} \left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right)^{p}\, dx"," ",0,"int((d*cosh(f*x+e))^m*(a+b*sinh(f*x+e)^2)^p,x)","F"
401,0,0,208,0.967000," ","int(cosh(f*x+e)^5*(a+b*sinh(f*x+e)^2)^p,x)","\int \left(\cosh^{5}\left(f x +e \right)\right) \left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right)^{p}\, dx"," ",0,"int(cosh(f*x+e)^5*(a+b*sinh(f*x+e)^2)^p,x)","F"
402,0,0,123,0.687000," ","int(cosh(f*x+e)^3*(a+b*sinh(f*x+e)^2)^p,x)","\int \left(\cosh^{3}\left(f x +e \right)\right) \left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right)^{p}\, dx"," ",0,"int(cosh(f*x+e)^3*(a+b*sinh(f*x+e)^2)^p,x)","F"
403,0,0,65,0.487000," ","int(cosh(f*x+e)*(a+b*sinh(f*x+e)^2)^p,x)","\int \cosh \left(f x +e \right) \left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right)^{p}\, dx"," ",0,"int(cosh(f*x+e)*(a+b*sinh(f*x+e)^2)^p,x)","F"
404,0,0,74,0.405000," ","int(sech(f*x+e)*(a+b*sinh(f*x+e)^2)^p,x)","\int \mathrm{sech}\left(f x +e \right) \left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right)^{p}\, dx"," ",0,"int(sech(f*x+e)*(a+b*sinh(f*x+e)^2)^p,x)","F"
405,0,0,74,0.449000," ","int(sech(f*x+e)^3*(a+b*sinh(f*x+e)^2)^p,x)","\int \mathrm{sech}\left(f x +e \right)^{3} \left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right)^{p}\, dx"," ",0,"int(sech(f*x+e)^3*(a+b*sinh(f*x+e)^2)^p,x)","F"
406,0,0,84,0.717000," ","int(cosh(f*x+e)^4*(a+b*sinh(f*x+e)^2)^p,x)","\int \left(\cosh^{4}\left(f x +e \right)\right) \left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right)^{p}\, dx"," ",0,"int(cosh(f*x+e)^4*(a+b*sinh(f*x+e)^2)^p,x)","F"
407,0,0,84,0.582000," ","int(cosh(f*x+e)^2*(a+b*sinh(f*x+e)^2)^p,x)","\int \left(\cosh^{2}\left(f x +e \right)\right) \left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right)^{p}\, dx"," ",0,"int(cosh(f*x+e)^2*(a+b*sinh(f*x+e)^2)^p,x)","F"
408,0,0,84,0.203000," ","int((a+b*sinh(f*x+e)^2)^p,x)","\int \left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right)^{p}\, dx"," ",0,"int((a+b*sinh(f*x+e)^2)^p,x)","F"
409,0,0,84,0.399000," ","int(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)^p,x)","\int \mathrm{sech}\left(f x +e \right)^{2} \left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right)^{p}\, dx"," ",0,"int(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)^p,x)","F"
410,0,0,84,0.392000," ","int(sech(f*x+e)^4*(a+b*sinh(f*x+e)^2)^p,x)","\int \mathrm{sech}\left(f x +e \right)^{4} \left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right)^{p}\, dx"," ",0,"int(sech(f*x+e)^4*(a+b*sinh(f*x+e)^2)^p,x)","F"
411,1,780,233,0.215000," ","int(cosh(d*x+c)^5/(a+b*sinh(d*x+c)^(1/2)),x)","-\frac{7 a}{8 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}+\frac{7 a}{8 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{9 a}{8 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}-\frac{9 a}{8 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{a^{9} \ln \left(a^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 b^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-a^{2}\right)}{d \,b^{10}}-\frac{2 a^{5} \ln \left(a^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 b^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-a^{2}\right)}{d \,b^{6}}-\frac{a \ln \left(a^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 b^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-a^{2}\right)}{d \,b^{2}}+\frac{a^{7}}{d \,b^{8} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}-\frac{a^{5}}{2 d \,b^{6} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}+\frac{a^{3}}{3 d \,b^{4} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}-\frac{a^{5}}{2 d \,b^{6} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{a^{3}}{2 d \,b^{4} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{a^{3}}{3 d \,b^{4} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{3}}-\frac{a^{5}}{2 d \,b^{6} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}+\frac{a^{3}}{2 d \,b^{4} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}+\frac{a^{9} \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,b^{10}}+\frac{a^{9} \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,b^{10}}+\frac{2 a^{5} \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,b^{6}}+\frac{2 a^{5} \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,b^{6}}-\frac{a}{4 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{4}}-\frac{a}{4 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{4}}+\frac{a^{7}}{d \,b^{8} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}+\frac{a^{5}}{2 d \,b^{6} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}+\frac{a \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,b^{2}}+\frac{a \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,b^{2}}-\frac{a}{2 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{3}}+\frac{2 a^{3}}{d \,b^{4} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}+\frac{a}{2 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}+\frac{2 a^{3}}{d \,b^{4} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}+\frac{\mathit{`\,int/indef0`\,}\left(-\frac{\left(\cosh^{4}\left(d x +c \right)\right) b \left(\sqrt{\sinh}\left(d x +c \right)\right)}{-b^{2} \sinh \left(d x +c \right)+a^{2}}, \sinh \left(d x +c \right)\right)}{d}"," ",0,"-7/8/d/b^2/(tanh(1/2*d*x+1/2*c)-1)*a+7/8/d/b^2/(tanh(1/2*d*x+1/2*c)+1)*a-9/8/d/b^2/(tanh(1/2*d*x+1/2*c)-1)^2*a-9/8/d/b^2/(tanh(1/2*d*x+1/2*c)+1)^2*a+a^7/d/b^8/(tanh(1/2*d*x+1/2*c)-1)-1/2*a^5/d/b^6/(tanh(1/2*d*x+1/2*c)-1)+1/3*a^3/d/b^4/(tanh(1/2*d*x+1/2*c)+1)^3-1/2*a^5/d/b^6/(tanh(1/2*d*x+1/2*c)+1)^2-1/2*a^3/d/b^4/(tanh(1/2*d*x+1/2*c)+1)^2+1/3*a^3/d/b^4/(tanh(1/2*d*x+1/2*c)-1)^3-1/2*a^5/d/b^6/(tanh(1/2*d*x+1/2*c)-1)^2+1/2*a^3/d/b^4/(tanh(1/2*d*x+1/2*c)-1)^2+a^9/d/b^10*ln(tanh(1/2*d*x+1/2*c)-1)-a/d/b^2*ln(a^2*tanh(1/2*d*x+1/2*c)^2+2*b^2*tanh(1/2*d*x+1/2*c)-a^2)-a^9/d/b^10*ln(a^2*tanh(1/2*d*x+1/2*c)^2+2*b^2*tanh(1/2*d*x+1/2*c)-a^2)-2*a^5/d/b^6*ln(a^2*tanh(1/2*d*x+1/2*c)^2+2*b^2*tanh(1/2*d*x+1/2*c)-a^2)+a^9/d/b^10*ln(tanh(1/2*d*x+1/2*c)+1)+2*a^5/d/b^6*ln(tanh(1/2*d*x+1/2*c)+1)+2*a^5/d/b^6*ln(tanh(1/2*d*x+1/2*c)-1)-1/4*a/d/b^2/(tanh(1/2*d*x+1/2*c)-1)^4-1/4*a/d/b^2/(tanh(1/2*d*x+1/2*c)+1)^4+a^7/d/b^8/(tanh(1/2*d*x+1/2*c)+1)+1/2*a^5/d/b^6/(tanh(1/2*d*x+1/2*c)+1)+1/d*a/b^2*ln(tanh(1/2*d*x+1/2*c)+1)+1/d*a/b^2*ln(tanh(1/2*d*x+1/2*c)-1)-1/2/d/b^2/(tanh(1/2*d*x+1/2*c)-1)^3*a+2/d/b^4/(tanh(1/2*d*x+1/2*c)-1)*a^3+1/2/d/b^2/(tanh(1/2*d*x+1/2*c)+1)^3*a+2/d/b^4/(tanh(1/2*d*x+1/2*c)+1)*a^3+`int/indef0`(-cosh(d*x+c)^4*b*sinh(d*x+c)^(1/2)/(-b^2*sinh(d*x+c)+a^2),sinh(d*x+c))/d","C"
412,1,359,122,0.197000," ","int(cosh(d*x+c)^3/(a+b*sinh(d*x+c)^(1/2)),x)","-\frac{a}{2 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}+\frac{a^{3}}{d \,b^{4} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}-\frac{a}{2 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}+\frac{a^{5} \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,b^{6}}+\frac{a \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,b^{2}}-\frac{a}{2 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{a^{3}}{d \,b^{4} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}+\frac{a}{2 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}+\frac{a^{5} \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,b^{6}}+\frac{a \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,b^{2}}-\frac{a^{5} \ln \left(a^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 b^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-a^{2}\right)}{d \,b^{6}}-\frac{a \ln \left(a^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 b^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-a^{2}\right)}{d \,b^{2}}+\frac{\mathit{`\,int/indef0`\,}\left(-\frac{\left(\cosh^{2}\left(d x +c \right)\right) b \left(\sqrt{\sinh}\left(d x +c \right)\right)}{-b^{2} \sinh \left(d x +c \right)+a^{2}}, \sinh \left(d x +c \right)\right)}{d}"," ",0,"-1/2/d/b^2/(tanh(1/2*d*x+1/2*c)-1)^2*a+1/d/b^4/(tanh(1/2*d*x+1/2*c)-1)*a^3-1/2/d/b^2/(tanh(1/2*d*x+1/2*c)-1)*a+a^5/d/b^6*ln(tanh(1/2*d*x+1/2*c)-1)+1/d*a/b^2*ln(tanh(1/2*d*x+1/2*c)-1)-1/2/d/b^2/(tanh(1/2*d*x+1/2*c)+1)^2*a+1/d/b^4/(tanh(1/2*d*x+1/2*c)+1)*a^3+1/2/d/b^2/(tanh(1/2*d*x+1/2*c)+1)*a+a^5/d/b^6*ln(tanh(1/2*d*x+1/2*c)+1)+1/d*a/b^2*ln(tanh(1/2*d*x+1/2*c)+1)-a^5/d/b^6*ln(a^2*tanh(1/2*d*x+1/2*c)^2+2*b^2*tanh(1/2*d*x+1/2*c)-a^2)-a/d/b^2*ln(a^2*tanh(1/2*d*x+1/2*c)^2+2*b^2*tanh(1/2*d*x+1/2*c)-a^2)+`int/indef0`(-cosh(d*x+c)^2*b*sinh(d*x+c)^(1/2)/(-b^2*sinh(d*x+c)+a^2),sinh(d*x+c))/d","C"
413,1,89,39,0.028000," ","int(cosh(d*x+c)/(a+b*sinh(d*x+c)^(1/2)),x)","\frac{2 \left(\sqrt{\sinh}\left(d x +c \right)\right)}{b d}+\frac{a \ln \left(b \left(\sqrt{\sinh}\left(d x +c \right)\right)-a \right)}{d \,b^{2}}-\frac{a \ln \left(a +b \left(\sqrt{\sinh}\left(d x +c \right)\right)\right)}{b^{2} d}-\frac{a \ln \left(b^{2} \sinh \left(d x +c \right)-a^{2}\right)}{d \,b^{2}}"," ",0,"2*sinh(d*x+c)^(1/2)/b/d+1/d/b^2*a*ln(b*sinh(d*x+c)^(1/2)-a)-a*ln(a+b*sinh(d*x+c)^(1/2))/b^2/d-1/d*a*ln(b^2*sinh(d*x+c)-a^2)/b^2","B"
414,1,206,256,0.192000," ","int(sech(d*x+c)/(a+b*sinh(d*x+c)^(1/2)),x)","-\frac{a \,b^{2} \ln \left(a^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 b^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-a^{2}\right)}{d \left(a^{4}+b^{4}\right)}+\frac{a \,b^{2} \ln \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \left(a^{4}+b^{4}\right)}+\frac{2 a^{3} \arctan \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{d \left(a^{4}+b^{4}\right)}+\frac{\mathit{`\,int/indef0`\,}\left(\frac{b \left(\sqrt{\sinh}\left(d x +c \right)\right) \left(-b^{2} \sinh \left(d x +c \right)+a^{2}\right)}{2 a^{2} b^{2} \sinh \left(d x +c \right) \left(\cosh^{2}\left(d x +c \right)\right)-b^{4} \left(\cosh^{4}\left(d x +c \right)\right)+\left(-a^{4}+b^{4}\right) \left(\cosh^{2}\left(d x +c \right)\right)}, \sinh \left(d x +c \right)\right)}{d}"," ",0,"-a/d*b^2/(a^4+b^4)*ln(a^2*tanh(1/2*d*x+1/2*c)^2+2*b^2*tanh(1/2*d*x+1/2*c)-a^2)+a/d/(a^4+b^4)*b^2*ln(tanh(1/2*d*x+1/2*c)^2+1)+2*a^3/d/(a^4+b^4)*arctan(tanh(1/2*d*x+1/2*c))+`int/indef0`(b*sinh(d*x+c)^(1/2)*(-b^2*sinh(d*x+c)+a^2)/(2*a^2*b^2*sinh(d*x+c)*cosh(d*x+c)^2-b^4*cosh(d*x+c)^4+(-a^4+b^4)*cosh(d*x+c)^2),sinh(d*x+c))/d","C"
415,1,955,248,0.392000," ","int(cosh(d*x+c)^5/(a+b*sinh(d*x+c)^(1/2))^2,x)","\frac{9 \ln \left(a^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 b^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-a^{2}\right) a^{8}}{d \,b^{10}}+\frac{10 \ln \left(a^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 b^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-a^{2}\right) a^{4}}{d \,b^{6}}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,b^{2}}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,b^{2}}+\frac{\mathit{`\,int/indef0`\,}\left(-\frac{2 \left(\cosh^{4}\left(d x +c \right)\right) a b \left(\sqrt{\sinh}\left(d x +c \right)\right)}{b^{4} \left(\sinh^{2}\left(d x +c \right)\right)-2 a^{2} b^{2} \sinh \left(d x +c \right)+a^{4}}, \sinh \left(d x +c \right)\right)}{d}-\frac{10 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right) a^{4}}{d \,b^{6}}-\frac{7 a^{6}}{d \,b^{8} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}+\frac{5 a^{4}}{2 d \,b^{6} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}-\frac{6 a^{2}}{d \,b^{4} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}-\frac{a^{2}}{d \,b^{4} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{3}}+\frac{5 a^{4}}{2 d \,b^{6} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}-\frac{3 a^{2}}{2 d \,b^{4} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}-\frac{9 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right) a^{8}}{d \,b^{10}}-\frac{10 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right) a^{4}}{d \,b^{6}}-\frac{7 a^{6}}{d \,b^{8} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{5 a^{4}}{2 d \,b^{6} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{6 a^{2}}{d \,b^{4} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{a^{2}}{d \,b^{4} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}+\frac{5 a^{4}}{2 d \,b^{6} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{3 a^{2}}{2 d \,b^{4} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{9 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right) a^{8}}{d \,b^{10}}-\frac{4 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d \left(a^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 b^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-a^{2}\right)}+\frac{\ln \left(a^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 b^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-a^{2}\right)}{d \,b^{2}}+\frac{7}{8 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}-\frac{7}{8 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}+\frac{9}{8 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}+\frac{9}{8 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{1}{2 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{3}}+\frac{1}{4 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{4}}-\frac{1}{2 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}+\frac{1}{4 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{4}}-\frac{4 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) a^{8}}{d \,b^{8} \left(a^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 b^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-a^{2}\right)}-\frac{8 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) a^{4}}{d \,b^{4} \left(a^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 b^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-a^{2}\right)}"," ",0,"-1/d/b^2*ln(tanh(1/2*d*x+1/2*c)-1)-1/d/b^2*ln(tanh(1/2*d*x+1/2*c)+1)-4/d/b^8*tanh(1/2*d*x+1/2*c)/(a^2*tanh(1/2*d*x+1/2*c)^2+2*b^2*tanh(1/2*d*x+1/2*c)-a^2)*a^8-8/d/b^4*tanh(1/2*d*x+1/2*c)/(a^2*tanh(1/2*d*x+1/2*c)^2+2*b^2*tanh(1/2*d*x+1/2*c)-a^2)*a^4-10/d/b^6*ln(tanh(1/2*d*x+1/2*c)+1)*a^4-7/d/b^8/(tanh(1/2*d*x+1/2*c)-1)*a^6+5/2/d/b^6/(tanh(1/2*d*x+1/2*c)-1)*a^4-6/d/b^4/(tanh(1/2*d*x+1/2*c)-1)*a^2-1/d/b^4/(tanh(1/2*d*x+1/2*c)-1)^3*a^2+9/d/b^10*ln(a^2*tanh(1/2*d*x+1/2*c)^2+2*b^2*tanh(1/2*d*x+1/2*c)-a^2)*a^8+10/d/b^6*ln(a^2*tanh(1/2*d*x+1/2*c)^2+2*b^2*tanh(1/2*d*x+1/2*c)-a^2)*a^4+5/2/d/b^6/(tanh(1/2*d*x+1/2*c)-1)^2*a^4-3/2/d/b^4/(tanh(1/2*d*x+1/2*c)-1)^2*a^2-9/d/b^10*ln(tanh(1/2*d*x+1/2*c)-1)*a^8-10/d/b^6*ln(tanh(1/2*d*x+1/2*c)-1)*a^4-7/d/b^8/(tanh(1/2*d*x+1/2*c)+1)*a^6-5/2/d/b^6/(tanh(1/2*d*x+1/2*c)+1)*a^4-6/d/b^4/(tanh(1/2*d*x+1/2*c)+1)*a^2-1/d/b^4/(tanh(1/2*d*x+1/2*c)+1)^3*a^2+5/2/d/b^6/(tanh(1/2*d*x+1/2*c)+1)^2*a^4+3/2/d/b^4/(tanh(1/2*d*x+1/2*c)+1)^2*a^2-9/d/b^10*ln(tanh(1/2*d*x+1/2*c)+1)*a^8+7/8/d/b^2/(tanh(1/2*d*x+1/2*c)-1)-7/8/d/b^2/(tanh(1/2*d*x+1/2*c)+1)+9/8/d/b^2/(tanh(1/2*d*x+1/2*c)-1)^2+9/8/d/b^2/(tanh(1/2*d*x+1/2*c)+1)^2+1/2/d/b^2/(tanh(1/2*d*x+1/2*c)-1)^3-4/d*tanh(1/2*d*x+1/2*c)/(a^2*tanh(1/2*d*x+1/2*c)^2+2*b^2*tanh(1/2*d*x+1/2*c)-a^2)+1/4/d/b^2/(tanh(1/2*d*x+1/2*c)+1)^4-1/2/d/b^2/(tanh(1/2*d*x+1/2*c)+1)^3+1/d/b^2*ln(a^2*tanh(1/2*d*x+1/2*c)^2+2*b^2*tanh(1/2*d*x+1/2*c)-a^2)+1/4/d/b^2/(tanh(1/2*d*x+1/2*c)-1)^4+`int/indef0`(-2*cosh(d*x+c)^4*a*b*sinh(d*x+c)^(1/2)/(b^4*sinh(d*x+c)^2-2*a^2*b^2*sinh(d*x+c)+a^4),sinh(d*x+c))/d","C"
416,1,481,130,0.374000," ","int(cosh(d*x+c)^3/(a+b*sinh(d*x+c)^(1/2))^2,x)","\frac{1}{2 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}-\frac{3 a^{2}}{d \,b^{4} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}+\frac{1}{2 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}-\frac{5 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right) a^{4}}{d \,b^{6}}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{d \,b^{2}}+\frac{1}{2 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{3 a^{2}}{d \,b^{4} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{1}{2 d \,b^{2} \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{5 \ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right) a^{4}}{d \,b^{6}}-\frac{\ln \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{d \,b^{2}}-\frac{4 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) a^{4}}{d \,b^{4} \left(a^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 b^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-a^{2}\right)}-\frac{4 \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d \left(a^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 b^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-a^{2}\right)}+\frac{5 \ln \left(a^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 b^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-a^{2}\right) a^{4}}{d \,b^{6}}+\frac{\ln \left(a^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 b^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-a^{2}\right)}{d \,b^{2}}+\frac{\mathit{`\,int/indef0`\,}\left(-\frac{2 \left(\cosh^{2}\left(d x +c \right)\right) a b \left(\sqrt{\sinh}\left(d x +c \right)\right)}{b^{4} \left(\sinh^{2}\left(d x +c \right)\right)-2 a^{2} b^{2} \sinh \left(d x +c \right)+a^{4}}, \sinh \left(d x +c \right)\right)}{d}"," ",0,"1/2/d/b^2/(tanh(1/2*d*x+1/2*c)-1)^2-3/d/b^4/(tanh(1/2*d*x+1/2*c)-1)*a^2+1/2/d/b^2/(tanh(1/2*d*x+1/2*c)-1)-5/d/b^6*ln(tanh(1/2*d*x+1/2*c)-1)*a^4-1/d/b^2*ln(tanh(1/2*d*x+1/2*c)-1)+1/2/d/b^2/(tanh(1/2*d*x+1/2*c)+1)^2-3/d/b^4/(tanh(1/2*d*x+1/2*c)+1)*a^2-1/2/d/b^2/(tanh(1/2*d*x+1/2*c)+1)-5/d/b^6*ln(tanh(1/2*d*x+1/2*c)+1)*a^4-1/d/b^2*ln(tanh(1/2*d*x+1/2*c)+1)-4/d/b^4*tanh(1/2*d*x+1/2*c)/(a^2*tanh(1/2*d*x+1/2*c)^2+2*b^2*tanh(1/2*d*x+1/2*c)-a^2)*a^4-4/d*tanh(1/2*d*x+1/2*c)/(a^2*tanh(1/2*d*x+1/2*c)^2+2*b^2*tanh(1/2*d*x+1/2*c)-a^2)+5/d/b^6*ln(a^2*tanh(1/2*d*x+1/2*c)^2+2*b^2*tanh(1/2*d*x+1/2*c)-a^2)*a^4+1/d/b^2*ln(a^2*tanh(1/2*d*x+1/2*c)^2+2*b^2*tanh(1/2*d*x+1/2*c)-a^2)+`int/indef0`(-2*cosh(d*x+c)^2*a*b*sinh(d*x+c)^(1/2)/(b^4*sinh(d*x+c)^2-2*a^2*b^2*sinh(d*x+c)+a^4),sinh(d*x+c))/d","C"
417,1,144,45,0.034000," ","int(cosh(d*x+c)/(a+b*sinh(d*x+c)^(1/2))^2,x)","-\frac{2 a^{2}}{d \left(b^{2} \sinh \left(d x +c \right)-a^{2}\right) b^{2}}+\frac{\ln \left(b^{2} \sinh \left(d x +c \right)-a^{2}\right)}{d \,b^{2}}+\frac{a}{d \,b^{2} \left(b \left(\sqrt{\sinh}\left(d x +c \right)\right)-a \right)}-\frac{\ln \left(b \left(\sqrt{\sinh}\left(d x +c \right)\right)-a \right)}{d \,b^{2}}+\frac{a}{b^{2} d \left(a +b \left(\sqrt{\sinh}\left(d x +c \right)\right)\right)}+\frac{\ln \left(a +b \left(\sqrt{\sinh}\left(d x +c \right)\right)\right)}{b^{2} d}"," ",0,"-2/d*a^2/(b^2*sinh(d*x+c)-a^2)/b^2+1/d*ln(b^2*sinh(d*x+c)-a^2)/b^2+1/d*a/b^2/(b*sinh(d*x+c)^(1/2)-a)-1/d/b^2*ln(b*sinh(d*x+c)^(1/2)-a)+a/b^2/d/(a+b*sinh(d*x+c)^(1/2))+ln(a+b*sinh(d*x+c)^(1/2))/b^2/d","B"
418,1,567,357,0.478000," ","int(sech(d*x+c)/(a+b*sinh(d*x+c)^(1/2))^2,x)","-\frac{4 b^{4} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right) a^{4}}{d \left(a^{4}+b^{4}\right)^{2} \left(a^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 b^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-a^{2}\right)}-\frac{4 b^{8} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)}{d \left(a^{4}+b^{4}\right)^{2} \left(a^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 b^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-a^{2}\right)}-\frac{3 b^{2} \ln \left(a^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 b^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-a^{2}\right) a^{4}}{d \left(a^{4}+b^{4}\right)^{2}}+\frac{b^{6} \ln \left(a^{2} \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+2 b^{2} \tanh \left(\frac{d x}{2}+\frac{c}{2}\right)-a^{2}\right)}{d \left(a^{4}+b^{4}\right)^{2}}+\frac{3 \ln \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right) a^{4} b^{2}}{d \left(a^{8}+2 a^{4} b^{4}+b^{8}\right)}-\frac{\ln \left(\tanh^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+1\right) b^{6}}{d \left(a^{8}+2 a^{4} b^{4}+b^{8}\right)}+\frac{2 \arctan \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right) a^{6}}{d \left(a^{8}+2 a^{4} b^{4}+b^{8}\right)}-\frac{6 \arctan \left(\tanh \left(\frac{d x}{2}+\frac{c}{2}\right)\right) a^{2} b^{4}}{d \left(a^{8}+2 a^{4} b^{4}+b^{8}\right)}+\frac{\mathit{`\,int/indef0`\,}\left(\frac{2 a b \left(\sqrt{\sinh}\left(d x +c \right)\right) \left(b^{4} \left(\sinh^{2}\left(d x +c \right)\right)-2 a^{2} b^{2} \sinh \left(d x +c \right)+a^{4}\right)}{4 a^{2} b^{6} \sinh \left(d x +c \right) \left(\cosh^{4}\left(d x +c \right)\right)+\left(4 a^{6} b^{2}-4 a^{2} b^{6}\right) \left(\cosh^{2}\left(d x +c \right)\right) \sinh \left(d x +c \right)-b^{8} \left(\cosh^{6}\left(d x +c \right)\right)+\left(-6 a^{4} b^{4}+2 b^{8}\right) \left(\cosh^{4}\left(d x +c \right)\right)+\left(-a^{8}+6 a^{4} b^{4}-b^{8}\right) \left(\cosh^{2}\left(d x +c \right)\right)}, \sinh \left(d x +c \right)\right)}{d}"," ",0,"-4/d*b^4/(a^4+b^4)^2*tanh(1/2*d*x+1/2*c)/(a^2*tanh(1/2*d*x+1/2*c)^2+2*b^2*tanh(1/2*d*x+1/2*c)-a^2)*a^4-4/d*b^8/(a^4+b^4)^2*tanh(1/2*d*x+1/2*c)/(a^2*tanh(1/2*d*x+1/2*c)^2+2*b^2*tanh(1/2*d*x+1/2*c)-a^2)-3/d*b^2/(a^4+b^4)^2*ln(a^2*tanh(1/2*d*x+1/2*c)^2+2*b^2*tanh(1/2*d*x+1/2*c)-a^2)*a^4+1/d*b^6/(a^4+b^4)^2*ln(a^2*tanh(1/2*d*x+1/2*c)^2+2*b^2*tanh(1/2*d*x+1/2*c)-a^2)+3/d/(a^8+2*a^4*b^4+b^8)*ln(tanh(1/2*d*x+1/2*c)^2+1)*a^4*b^2-1/d/(a^8+2*a^4*b^4+b^8)*ln(tanh(1/2*d*x+1/2*c)^2+1)*b^6+2/d/(a^8+2*a^4*b^4+b^8)*arctan(tanh(1/2*d*x+1/2*c))*a^6-6/d/(a^8+2*a^4*b^4+b^8)*arctan(tanh(1/2*d*x+1/2*c))*a^2*b^4+`int/indef0`(2*a*b*sinh(d*x+c)^(1/2)*(b^4*sinh(d*x+c)^2-2*a^2*b^2*sinh(d*x+c)+a^4)/(4*a^2*b^6*sinh(d*x+c)*cosh(d*x+c)^4+(4*a^6*b^2-4*a^2*b^6)*cosh(d*x+c)^2*sinh(d*x+c)-b^8*cosh(d*x+c)^6+(-6*a^4*b^4+2*b^8)*cosh(d*x+c)^4+(-a^8+6*a^4*b^4-b^8)*cosh(d*x+c)^2),sinh(d*x+c))/d","C"
419,0,0,132,0.351000," ","int(cosh(d*x+c)^5/(a+b*sinh(d*x+c)^n),x)","\int \frac{\cosh^{5}\left(d x +c \right)}{a +b \left(\sinh^{n}\left(d x +c \right)\right)}\, dx"," ",0,"int(cosh(d*x+c)^5/(a+b*sinh(d*x+c)^n),x)","F"
420,0,0,86,0.293000," ","int(cosh(d*x+c)^3/(a+b*sinh(d*x+c)^n),x)","\int \frac{\cosh^{3}\left(d x +c \right)}{a +b \left(\sinh^{n}\left(d x +c \right)\right)}\, dx"," ",0,"int(cosh(d*x+c)^3/(a+b*sinh(d*x+c)^n),x)","F"
421,0,0,39,0.290000," ","int(cosh(d*x+c)/(a+b*sinh(d*x+c)^n),x)","\int \frac{\cosh \left(d x +c \right)}{a +b \left(\sinh^{n}\left(d x +c \right)\right)}\, dx"," ",0,"int(cosh(d*x+c)/(a+b*sinh(d*x+c)^n),x)","F"
422,0,0,132,5.816000," ","int(cosh(d*x+c)^5/(a+b*sinh(d*x+c)^n)^2,x)","\int \frac{\cosh^{5}\left(d x +c \right)}{\left(a +b \left(\sinh^{n}\left(d x +c \right)\right)\right)^{2}}\, dx"," ",0,"int(cosh(d*x+c)^5/(a+b*sinh(d*x+c)^n)^2,x)","F"
423,0,0,86,5.585000," ","int(cosh(d*x+c)^3/(a+b*sinh(d*x+c)^n)^2,x)","\int \frac{\cosh^{3}\left(d x +c \right)}{\left(a +b \left(\sinh^{n}\left(d x +c \right)\right)\right)^{2}}\, dx"," ",0,"int(cosh(d*x+c)^3/(a+b*sinh(d*x+c)^n)^2,x)","F"
424,0,0,39,6.026000," ","int(cosh(d*x+c)/(a+b*sinh(d*x+c)^n)^2,x)","\int \frac{\cosh \left(d x +c \right)}{\left(a +b \left(\sinh^{n}\left(d x +c \right)\right)\right)^{2}}\, dx"," ",0,"int(cosh(d*x+c)/(a+b*sinh(d*x+c)^n)^2,x)","F"
425,1,41,15,0.090000," ","int(coth(x)/(1-sinh(x)^2),x)","-\frac{\ln \left(\tanh^{2}\left(\frac{x}{2}\right)-2 \tanh \left(\frac{x}{2}\right)-1\right)}{2}-\frac{\ln \left(\tanh^{2}\left(\frac{x}{2}\right)+2 \tanh \left(\frac{x}{2}\right)-1\right)}{2}+\ln \left(\tanh \left(\frac{x}{2}\right)\right)"," ",0,"-1/2*ln(tanh(1/2*x)^2-2*tanh(1/2*x)-1)-1/2*ln(tanh(1/2*x)^2+2*tanh(1/2*x)-1)+ln(tanh(1/2*x))","B"
426,1,42,55,0.237000," ","int((a+a*sinh(f*x+e)^2)^(1/2)*tanh(f*x+e)^5,x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{\left(\sinh^{5}\left(f x +e \right)\right) a}{\cosh \left(f x +e \right)^{4} \sqrt{a \left(\cosh^{2}\left(f x +e \right)\right)}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`(sinh(f*x+e)^5*a/cosh(f*x+e)^4/(a*cosh(f*x+e)^2)^(1/2),sinh(f*x+e))/f","C"
427,1,42,34,0.219000," ","int((a+a*sinh(f*x+e)^2)^(1/2)*tanh(f*x+e)^3,x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{\left(\sinh^{3}\left(f x +e \right)\right) a}{\cosh \left(f x +e \right)^{2} \sqrt{a \left(\cosh^{2}\left(f x +e \right)\right)}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`(sinh(f*x+e)^3*a/cosh(f*x+e)^2/(a*cosh(f*x+e)^2)^(1/2),sinh(f*x+e))/f","C"
428,1,19,16,0.076000," ","int((a+a*sinh(f*x+e)^2)^(1/2)*tanh(f*x+e),x)","\frac{\sqrt{a +a \left(\sinh^{2}\left(f x +e \right)\right)}}{f}"," ",0,"1/f*(a+a*sinh(f*x+e)^2)^(1/2)","A"
429,1,42,42,0.180000," ","int(coth(f*x+e)*(a+a*sinh(f*x+e)^2)^(1/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{a \left(\cosh^{2}\left(f x +e \right)\right)}{\sinh \left(f x +e \right) \sqrt{a \left(\cosh^{2}\left(f x +e \right)\right)}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`(a*cosh(f*x+e)^2/sinh(f*x+e)/(a*cosh(f*x+e)^2)^(1/2),sinh(f*x+e))/f","C"
430,1,54,71,0.200000," ","int(coth(f*x+e)^3*(a+a*sinh(f*x+e)^2)^(1/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{a \left(\cosh^{4}\left(f x +e \right)\right)}{\sinh \left(f x +e \right) \left(\cosh^{2}\left(f x +e \right)-1\right) \sqrt{a \left(\cosh^{2}\left(f x +e \right)\right)}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`(a*cosh(f*x+e)^4/sinh(f*x+e)/(cosh(f*x+e)^2-1)/(a*cosh(f*x+e)^2)^(1/2),sinh(f*x+e))/f","C"
431,1,85,104,0.265000," ","int((a+a*sinh(f*x+e)^2)^(1/2)*tanh(f*x+e)^6,x)","-\frac{a \left(15 \arctan \left(\sinh \left(f x +e \right)\right) \left(\cosh^{4}\left(f x +e \right)\right)-8 \left(\cosh^{4}\left(f x +e \right)\right) \sinh \left(f x +e \right)-9 \left(\cosh^{2}\left(f x +e \right)\right) \sinh \left(f x +e \right)+2 \sinh \left(f x +e \right)\right)}{8 \cosh \left(f x +e \right)^{3} \sqrt{a \left(\cosh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"-1/8*a*(15*arctan(sinh(f*x+e))*cosh(f*x+e)^4-8*cosh(f*x+e)^4*sinh(f*x+e)-9*cosh(f*x+e)^2*sinh(f*x+e)+2*sinh(f*x+e))/cosh(f*x+e)^3/(a*cosh(f*x+e)^2)^(1/2)/f","A"
432,1,69,79,0.209000," ","int((a+a*sinh(f*x+e)^2)^(1/2)*tanh(f*x+e)^4,x)","-\frac{a \left(3 \arctan \left(\sinh \left(f x +e \right)\right) \left(\cosh^{2}\left(f x +e \right)\right)-2 \left(\cosh^{2}\left(f x +e \right)\right) \sinh \left(f x +e \right)-\sinh \left(f x +e \right)\right)}{2 \cosh \left(f x +e \right) \sqrt{a \left(\cosh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"-1/2*a*(3*arctan(sinh(f*x+e))*cosh(f*x+e)^2-2*cosh(f*x+e)^2*sinh(f*x+e)-sinh(f*x+e))/cosh(f*x+e)/(a*cosh(f*x+e)^2)^(1/2)/f","A"
433,1,41,53,0.203000," ","int((a+a*sinh(f*x+e)^2)^(1/2)*tanh(f*x+e)^2,x)","-\frac{a \cosh \left(f x +e \right) \left(-\sinh \left(f x +e \right)+\arctan \left(\sinh \left(f x +e \right)\right)\right)}{\sqrt{a \left(\cosh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"-a*cosh(f*x+e)*(-sinh(f*x+e)+arctan(sinh(f*x+e)))/(a*cosh(f*x+e)^2)^(1/2)/f","A"
434,1,42,52,0.237000," ","int(coth(f*x+e)^2*(a+a*sinh(f*x+e)^2)^(1/2),x)","\frac{\cosh \left(f x +e \right) a \left(-1+\sinh^{2}\left(f x +e \right)\right)}{\sinh \left(f x +e \right) \sqrt{a \left(\cosh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"cosh(f*x+e)*a*(-1+sinh(f*x+e)^2)/sinh(f*x+e)/(a*cosh(f*x+e)^2)^(1/2)/f","A"
435,1,55,83,0.204000," ","int(coth(f*x+e)^4*(a+a*sinh(f*x+e)^2)^(1/2),x)","\frac{\cosh \left(f x +e \right) a \left(3 \left(\sinh^{4}\left(f x +e \right)\right)-6 \left(\sinh^{2}\left(f x +e \right)\right)-1\right)}{3 \sinh \left(f x +e \right)^{3} \sqrt{a \left(\cosh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"1/3*cosh(f*x+e)*a*(3*sinh(f*x+e)^4-6*sinh(f*x+e)^2-1)/sinh(f*x+e)^3/(a*cosh(f*x+e)^2)^(1/2)/f","A"
436,1,65,114,0.212000," ","int(coth(f*x+e)^6*(a+a*sinh(f*x+e)^2)^(1/2),x)","\frac{\cosh \left(f x +e \right) a \left(5 \left(\sinh^{6}\left(f x +e \right)\right)-15 \left(\sinh^{4}\left(f x +e \right)\right)-5 \left(\sinh^{2}\left(f x +e \right)\right)-1\right)}{5 \sinh \left(f x +e \right)^{5} \sqrt{a \left(\cosh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"1/5*cosh(f*x+e)*a*(5*sinh(f*x+e)^6-15*sinh(f*x+e)^4-5*sinh(f*x+e)^2-1)/sinh(f*x+e)^5/(a*cosh(f*x+e)^2)^(1/2)/f","A"
437,1,41,56,0.232000," ","int(tanh(f*x+e)^5/(a+a*sinh(f*x+e)^2)^(1/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{\sinh^{5}\left(f x +e \right)}{\cosh \left(f x +e \right)^{6} \sqrt{a \left(\cosh^{2}\left(f x +e \right)\right)}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`(sinh(f*x+e)^5/cosh(f*x+e)^6/(a*cosh(f*x+e)^2)^(1/2),sinh(f*x+e))/f","C"
438,1,41,36,0.189000," ","int(tanh(f*x+e)^3/(a+a*sinh(f*x+e)^2)^(1/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{\sinh^{3}\left(f x +e \right)}{\cosh \left(f x +e \right)^{4} \sqrt{a \left(\cosh^{2}\left(f x +e \right)\right)}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`(sinh(f*x+e)^3/cosh(f*x+e)^4/(a*cosh(f*x+e)^2)^(1/2),sinh(f*x+e))/f","C"
439,1,20,17,0.089000," ","int(tanh(f*x+e)/(a+a*sinh(f*x+e)^2)^(1/2),x)","-\frac{1}{f \sqrt{a +a \left(\sinh^{2}\left(f x +e \right)\right)}}"," ",0,"-1/f/(a+a*sinh(f*x+e)^2)^(1/2)","A"
440,1,33,25,0.160000," ","int(coth(f*x+e)/(a+a*sinh(f*x+e)^2)^(1/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{1}{\sinh \left(f x +e \right) \sqrt{a \left(\cosh^{2}\left(f x +e \right)\right)}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`(1/sinh(f*x+e)/(a*cosh(f*x+e)^2)^(1/2),sinh(f*x+e))/f","C"
441,1,42,54,0.211000," ","int(coth(f*x+e)^3/(a+a*sinh(f*x+e)^2)^(1/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{\frac{1}{\sinh \left(f x +e \right)}+\frac{1}{\sinh \left(f x +e \right)^{3}}}{\sqrt{a \left(\cosh^{2}\left(f x +e \right)\right)}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`((1/sinh(f*x+e)+1/sinh(f*x+e)^3)/(a*cosh(f*x+e)^2)^(1/2),sinh(f*x+e))/f","C"
442,1,68,79,0.235000," ","int(tanh(f*x+e)^4/(a+a*sinh(f*x+e)^2)^(1/2),x)","\frac{3 \arctan \left(\sinh \left(f x +e \right)\right) \left(\cosh^{4}\left(f x +e \right)\right)-5 \left(\cosh^{2}\left(f x +e \right)\right) \sinh \left(f x +e \right)+2 \sinh \left(f x +e \right)}{8 \cosh \left(f x +e \right)^{3} \sqrt{a \left(\cosh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"1/8*(3*arctan(sinh(f*x+e))*cosh(f*x+e)^4-5*cosh(f*x+e)^2*sinh(f*x+e)+2*sinh(f*x+e))/cosh(f*x+e)^3/(a*cosh(f*x+e)^2)^(1/2)/f","A"
443,1,51,54,0.215000," ","int(tanh(f*x+e)^2/(a+a*sinh(f*x+e)^2)^(1/2),x)","\frac{\frac{\arctan \left(\sinh \left(f x +e \right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}{2}-\frac{\sinh \left(f x +e \right)}{2}}{\cosh \left(f x +e \right) \sqrt{a \left(\cosh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"(1/2*arctan(sinh(f*x+e))*cosh(f*x+e)^2-1/2*sinh(f*x+e))/cosh(f*x+e)/(a*cosh(f*x+e)^2)^(1/2)/f","A"
444,1,32,23,0.162000," ","int(coth(f*x+e)^2/(a+a*sinh(f*x+e)^2)^(1/2),x)","-\frac{\cosh \left(f x +e \right)}{\sinh \left(f x +e \right) \sqrt{a \left(\cosh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"-cosh(f*x+e)/sinh(f*x+e)/(a*cosh(f*x+e)^2)^(1/2)/f","A"
445,1,44,55,0.209000," ","int(coth(f*x+e)^4/(a+a*sinh(f*x+e)^2)^(1/2),x)","-\frac{\cosh \left(f x +e \right) \left(3 \left(\sinh^{2}\left(f x +e \right)\right)+1\right)}{3 \sinh \left(f x +e \right)^{3} \sqrt{a \left(\cosh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"-1/3*cosh(f*x+e)*(3*sinh(f*x+e)^2+1)/sinh(f*x+e)^3/(a*cosh(f*x+e)^2)^(1/2)/f","A"
446,1,54,86,0.249000," ","int(coth(f*x+e)^6/(a+a*sinh(f*x+e)^2)^(1/2),x)","-\frac{\cosh \left(f x +e \right) \left(15 \left(\sinh^{4}\left(f x +e \right)\right)+10 \left(\sinh^{2}\left(f x +e \right)\right)+3\right)}{15 \sinh \left(f x +e \right)^{5} \sqrt{a \left(\cosh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"-1/15*cosh(f*x+e)*(15*sinh(f*x+e)^4+10*sinh(f*x+e)^2+3)/sinh(f*x+e)^5/(a*cosh(f*x+e)^2)^(1/2)/f","A"
447,1,44,56,0.288000," ","int(tanh(f*x+e)^5/(a+a*sinh(f*x+e)^2)^(3/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{\sinh^{5}\left(f x +e \right)}{\cosh \left(f x +e \right)^{8} a \sqrt{a \left(\cosh^{2}\left(f x +e \right)\right)}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`(sinh(f*x+e)^5/cosh(f*x+e)^8/a/(a*cosh(f*x+e)^2)^(1/2),sinh(f*x+e))/f","C"
448,1,44,36,0.245000," ","int(tanh(f*x+e)^3/(a+a*sinh(f*x+e)^2)^(3/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{\sinh^{3}\left(f x +e \right)}{\cosh \left(f x +e \right)^{6} a \sqrt{a \left(\cosh^{2}\left(f x +e \right)\right)}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`(sinh(f*x+e)^3/cosh(f*x+e)^6/a/(a*cosh(f*x+e)^2)^(1/2),sinh(f*x+e))/f","C"
449,1,20,17,0.081000," ","int(tanh(f*x+e)/(a+a*sinh(f*x+e)^2)^(3/2),x)","-\frac{1}{3 f \left(a +a \left(\sinh^{2}\left(f x +e \right)\right)\right)^{\frac{3}{2}}}"," ",0,"-1/3/f/(a+a*sinh(f*x+e)^2)^(3/2)","A"
450,1,44,45,0.158000," ","int(coth(f*x+e)/(a+a*sinh(f*x+e)^2)^(3/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{1}{\cosh \left(f x +e \right)^{2} \sinh \left(f x +e \right) a \sqrt{a \left(\cosh^{2}\left(f x +e \right)\right)}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`(1/cosh(f*x+e)^2/sinh(f*x+e)/a/(a*cosh(f*x+e)^2)^(1/2),sinh(f*x+e))/f","C"
451,1,36,54,0.184000," ","int(coth(f*x+e)^3/(a+a*sinh(f*x+e)^2)^(3/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{1}{\sinh \left(f x +e \right)^{3} a \sqrt{a \left(\cosh^{2}\left(f x +e \right)\right)}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`(1/sinh(f*x+e)^3/a/(a*cosh(f*x+e)^2)^(1/2),sinh(f*x+e))/f","C"
452,1,69,94,0.217000," ","int(tanh(f*x+e)^2/(a+a*sinh(f*x+e)^2)^(3/2),x)","\frac{\arctan \left(\sinh \left(f x +e \right)\right) \left(\cosh^{4}\left(f x +e \right)\right)+\left(\cosh^{2}\left(f x +e \right)\right) \sinh \left(f x +e \right)-2 \sinh \left(f x +e \right)}{8 a \cosh \left(f x +e \right)^{3} \sqrt{a \left(\cosh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"1/8/a*(arctan(sinh(f*x+e))*cosh(f*x+e)^4+cosh(f*x+e)^2*sinh(f*x+e)-2*sinh(f*x+e))/cosh(f*x+e)^3/(a*cosh(f*x+e)^2)^(1/2)/f","A"
453,1,51,60,0.212000," ","int(coth(f*x+e)^2/(a+a*sinh(f*x+e)^2)^(3/2),x)","-\frac{\cosh \left(f x +e \right) \left(\arctan \left(\sinh \left(f x +e \right)\right) \sinh \left(f x +e \right)+1\right)}{a \sinh \left(f x +e \right) \sqrt{a \left(\cosh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"-1/a*cosh(f*x+e)*(arctan(sinh(f*x+e))*sinh(f*x+e)+1)/sinh(f*x+e)/(a*cosh(f*x+e)^2)^(1/2)/f","A"
454,1,35,34,0.188000," ","int(coth(f*x+e)^4/(a+a*sinh(f*x+e)^2)^(3/2),x)","-\frac{\cosh \left(f x +e \right)}{3 a \sinh \left(f x +e \right)^{3} \sqrt{a \left(\cosh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"-1/3*cosh(f*x+e)/a/sinh(f*x+e)^3/(a*cosh(f*x+e)^2)^(1/2)/f","A"
455,1,67,69,0.290000," ","int(coth(f*x+e)^6/(a+a*sinh(f*x+e)^2)^(3/2),x)","-\frac{\cosh \left(f x +e \right) \left(5 \left(\cosh^{2}\left(f x +e \right)\right)-2\right)}{15 \left(-1+\cosh \left(f x +e \right)\right)^{2} \left(\cosh \left(f x +e \right)+1\right)^{2} a \sinh \left(f x +e \right) \sqrt{a \left(\cosh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"-1/15*cosh(f*x+e)*(5*cosh(f*x+e)^2-2)/(-1+cosh(f*x+e))^2/(cosh(f*x+e)+1)^2/a/sinh(f*x+e)/(a*cosh(f*x+e)^2)^(1/2)/f","A"
456,1,57,103,0.258000," ","int(coth(f*x+e)^8/(a+a*sinh(f*x+e)^2)^(3/2),x)","-\frac{\cosh \left(f x +e \right) \left(35 \left(\cosh^{4}\left(f x +e \right)\right)-28 \left(\cosh^{2}\left(f x +e \right)\right)+8\right)}{105 a \sinh \left(f x +e \right)^{7} \sqrt{a \left(\cosh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"-1/105*cosh(f*x+e)*(35*cosh(f*x+e)^4-28*cosh(f*x+e)^2+8)/a/sinh(f*x+e)^7/(a*cosh(f*x+e)^2)^(1/2)/f","A"
457,1,43,167,0.247000," ","int((a+b*sinh(f*x+e)^2)^(1/2)*tanh(f*x+e)^5,x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{\sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, \left(\sinh^{5}\left(f x +e \right)\right)}{\cosh \left(f x +e \right)^{6}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`((a+b*sinh(f*x+e)^2)^(1/2)*sinh(f*x+e)^5/cosh(f*x+e)^6,sinh(f*x+e))/f","C"
458,1,43,110,0.217000," ","int((a+b*sinh(f*x+e)^2)^(1/2)*tanh(f*x+e)^3,x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{\sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, \left(\sinh^{3}\left(f x +e \right)\right)}{\cosh \left(f x +e \right)^{4}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`((a+b*sinh(f*x+e)^2)^(1/2)*sinh(f*x+e)^3/cosh(f*x+e)^4,sinh(f*x+e))/f","C"
459,1,41,54,0.170000," ","int((a+b*sinh(f*x+e)^2)^(1/2)*tanh(f*x+e),x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{\sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, \sinh \left(f x +e \right)}{\cosh \left(f x +e \right)^{2}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`((a+b*sinh(f*x+e)^2)^(1/2)*sinh(f*x+e)/cosh(f*x+e)^2,sinh(f*x+e))/f","C"
460,1,46,46,0.156000," ","int(coth(f*x+e)*(a+b*sinh(f*x+e)^2)^(1/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{b \sinh \left(f x +e \right)+\frac{a}{\sinh \left(f x +e \right)}}{\sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`((b*sinh(f*x+e)+a/sinh(f*x+e))/(a+b*sinh(f*x+e)^2)^(1/2),sinh(f*x+e))/f","C"
461,1,58,90,0.225000," ","int(coth(f*x+e)^3*(a+b*sinh(f*x+e)^2)^(1/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{b \sinh \left(f x +e \right)+\frac{a +b}{\sinh \left(f x +e \right)}+\frac{a}{\sinh \left(f x +e \right)^{3}}}{\sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`((b*sinh(f*x+e)+(a+b)/sinh(f*x+e)+a/sinh(f*x+e)^3)/(a+b*sinh(f*x+e)^2)^(1/2),sinh(f*x+e))/f","C"
462,1,80,147,0.242000," ","int(coth(f*x+e)^5*(a+b*sinh(f*x+e)^2)^(1/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{\left(\cosh^{4}\left(f x +e \right)\right) \left(a -b +b \left(\cosh^{2}\left(f x +e \right)\right)\right)}{\sinh \left(f x +e \right) \left(\cosh^{4}\left(f x +e \right)-2 \left(\cosh^{2}\left(f x +e \right)\right)+1\right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`(1/sinh(f*x+e)/(cosh(f*x+e)^4-2*cosh(f*x+e)^2+1)*cosh(f*x+e)^4*(a-b+b*cosh(f*x+e)^2)/(a+b*sinh(f*x+e)^2)^(1/2),sinh(f*x+e))/f","C"
463,1,369,348,0.314000," ","int((a+b*sinh(f*x+e)^2)^(1/2)*tanh(f*x+e)^4,x)","-\frac{\left(4 \sqrt{-\frac{b}{a}}\, a b -5 \sqrt{-\frac{b}{a}}\, b^{2}\right) \sinh \left(f x +e \right) \left(\cosh^{4}\left(f x +e \right)\right)+\left(4 \sqrt{-\frac{b}{a}}\, a^{2}-10 \sqrt{-\frac{b}{a}}\, a b +6 \sqrt{-\frac{b}{a}}\, b^{2}\right) \left(\cosh^{2}\left(f x +e \right)\right) \sinh \left(f x +e \right)+\left(-\sqrt{-\frac{b}{a}}\, a^{2}+2 \sqrt{-\frac{b}{a}}\, a b -\sqrt{-\frac{b}{a}}\, b^{2}\right) \sinh \left(f x +e \right)-\sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \left(3 \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{2}-11 \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a b +8 \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2}+7 \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a b -8 \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2}\right) \left(\cosh^{2}\left(f x +e \right)\right)}{3 \cosh \left(f x +e \right)^{3} \left(a -b \right) \sqrt{-\frac{b}{a}}\, \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"-1/3*((4*(-1/a*b)^(1/2)*a*b-5*(-1/a*b)^(1/2)*b^2)*sinh(f*x+e)*cosh(f*x+e)^4+(4*(-1/a*b)^(1/2)*a^2-10*(-1/a*b)^(1/2)*a*b+6*(-1/a*b)^(1/2)*b^2)*cosh(f*x+e)^2*sinh(f*x+e)+(-(-1/a*b)^(1/2)*a^2+2*(-1/a*b)^(1/2)*a*b-(-1/a*b)^(1/2)*b^2)*sinh(f*x+e)-(cosh(f*x+e)^2)^(1/2)*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(3*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^2-11*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b+8*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2+7*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b-8*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2)*cosh(f*x+e)^2)/cosh(f*x+e)^3/(a-b)/(-1/a*b)^(1/2)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
464,1,233,238,0.290000," ","int((a+b*sinh(f*x+e)^2)^(1/2)*tanh(f*x+e)^2,x)","-\frac{\sqrt{-\frac{b}{a}}\, b \left(\sinh^{3}\left(f x +e \right)\right)-a \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)+2 b \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)-2 b \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)+\sqrt{-\frac{b}{a}}\, a \sinh \left(f x +e \right)}{\sqrt{-\frac{b}{a}}\, \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"-((-1/a*b)^(1/2)*b*sinh(f*x+e)^3-a*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))+2*b*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))-2*b*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))+(-1/a*b)^(1/2)*a*sinh(f*x+e))/(-1/a*b)^(1/2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
465,1,140,84,0.218000," ","int((a+b*sinh(f*x+e)^2)^(1/2),x)","\frac{\sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \left(a \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)-b \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)+b \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)\right)}{\sqrt{-\frac{b}{a}}\, \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*(a*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))-b*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))+b*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2)))/(-1/a*b)^(1/2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
466,1,215,270,0.271000," ","int(coth(f*x+e)^2*(a+b*sinh(f*x+e)^2)^(1/2),x)","-\frac{-\sinh \left(f x +e \right) \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \left(a \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)-b \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)+2 b \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)\right)+\sqrt{-\frac{b}{a}}\, b \left(\cosh^{4}\left(f x +e \right)\right)+\left(\sqrt{-\frac{b}{a}}\, a -\sqrt{-\frac{b}{a}}\, b \right) \left(\cosh^{2}\left(f x +e \right)\right)}{\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}\, \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"-(-sinh(f*x+e)*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*(a*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))-b*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))+2*b*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2)))+(-1/a*b)^(1/2)*b*cosh(f*x+e)^4+((-1/a*b)^(1/2)*a-(-1/a*b)^(1/2)*b)*cosh(f*x+e)^2)/sinh(f*x+e)/(-1/a*b)^(1/2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
467,1,522,326,0.307000," ","int(coth(f*x+e)^4*(a+b*sinh(f*x+e)^2)^(1/2),x)","\frac{-4 \sqrt{-\frac{b}{a}}\, a b \left(\sinh^{6}\left(f x +e \right)\right)-\sqrt{-\frac{b}{a}}\, b^{2} \left(\sinh^{6}\left(f x +e \right)\right)+3 a^{2} \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) \left(\sinh^{3}\left(f x +e \right)\right)-2 b \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a \left(\sinh^{3}\left(f x +e \right)\right)-\sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2} \left(\sinh^{3}\left(f x +e \right)\right)+7 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a b \left(\sinh^{3}\left(f x +e \right)\right)+\sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2} \left(\sinh^{3}\left(f x +e \right)\right)-4 \sqrt{-\frac{b}{a}}\, a^{2} \left(\sinh^{4}\left(f x +e \right)\right)-6 \sqrt{-\frac{b}{a}}\, a b \left(\sinh^{4}\left(f x +e \right)\right)-\sqrt{-\frac{b}{a}}\, b^{2} \left(\sinh^{4}\left(f x +e \right)\right)-5 \sqrt{-\frac{b}{a}}\, a^{2} \left(\sinh^{2}\left(f x +e \right)\right)-2 \sqrt{-\frac{b}{a}}\, a b \left(\sinh^{2}\left(f x +e \right)\right)-\sqrt{-\frac{b}{a}}\, a^{2}}{3 a \sinh \left(f x +e \right)^{3} \sqrt{-\frac{b}{a}}\, \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"1/3*(-4*(-1/a*b)^(1/2)*a*b*sinh(f*x+e)^6-(-1/a*b)^(1/2)*b^2*sinh(f*x+e)^6+3*a^2*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*sinh(f*x+e)^3-2*b*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*sinh(f*x+e)^3-((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2*sinh(f*x+e)^3+7*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b*sinh(f*x+e)^3+((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2*sinh(f*x+e)^3-4*(-1/a*b)^(1/2)*a^2*sinh(f*x+e)^4-6*(-1/a*b)^(1/2)*a*b*sinh(f*x+e)^4-(-1/a*b)^(1/2)*b^2*sinh(f*x+e)^4-5*(-1/a*b)^(1/2)*a^2*sinh(f*x+e)^2-2*(-1/a*b)^(1/2)*a*b*sinh(f*x+e)^2-(-1/a*b)^(1/2)*a^2)/a/sinh(f*x+e)^3/(-1/a*b)^(1/2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
468,1,71,208,0.255000," ","int((a+b*sinh(f*x+e)^2)^(3/2)*tanh(f*x+e)^5,x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{\left(\sinh^{5}\left(f x +e \right)\right) \left(b^{2} \left(\sinh^{4}\left(f x +e \right)\right)+2 a b \left(\sinh^{2}\left(f x +e \right)\right)+a^{2}\right)}{\cosh \left(f x +e \right)^{6} \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`(sinh(f*x+e)^5*(b^2*sinh(f*x+e)^4+2*a*b*sinh(f*x+e)^2+a^2)/cosh(f*x+e)^6/(a+b*sinh(f*x+e)^2)^(1/2),sinh(f*x+e))/f","C"
469,1,71,136,0.233000," ","int((a+b*sinh(f*x+e)^2)^(3/2)*tanh(f*x+e)^3,x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{\left(\sinh^{3}\left(f x +e \right)\right) \left(b^{2} \left(\sinh^{4}\left(f x +e \right)\right)+2 a b \left(\sinh^{2}\left(f x +e \right)\right)+a^{2}\right)}{\cosh \left(f x +e \right)^{4} \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`(sinh(f*x+e)^3*(b^2*sinh(f*x+e)^4+2*a*b*sinh(f*x+e)^2+a^2)/cosh(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(1/2),sinh(f*x+e))/f","C"
470,1,69,78,0.195000," ","int((a+b*sinh(f*x+e)^2)^(3/2)*tanh(f*x+e),x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{\sinh \left(f x +e \right) \left(b^{2} \left(\sinh^{4}\left(f x +e \right)\right)+2 a b \left(\sinh^{2}\left(f x +e \right)\right)+a^{2}\right)}{\cosh \left(f x +e \right)^{2} \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`(sinh(f*x+e)*(b^2*sinh(f*x+e)^4+2*a*b*sinh(f*x+e)^2+a^2)/cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(1/2),sinh(f*x+e))/f","C"
471,1,62,66,0.170000," ","int(coth(f*x+e)*(a+b*sinh(f*x+e)^2)^(3/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{b^{2} \left(\sinh^{3}\left(f x +e \right)\right)+2 a b \sinh \left(f x +e \right)+\frac{a^{2}}{\sinh \left(f x +e \right)}}{\sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`((b^2*sinh(f*x+e)^3+2*a*b*sinh(f*x+e)+a^2/sinh(f*x+e))/(a+b*sinh(f*x+e)^2)^(1/2),sinh(f*x+e))/f","C"
472,1,84,120,0.214000," ","int(coth(f*x+e)^3*(a+b*sinh(f*x+e)^2)^(3/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{b^{2} \left(\sinh^{3}\left(f x +e \right)\right)+\left(2 a b +b^{2}\right) \sinh \left(f x +e \right)+\frac{a^{2}+2 a b}{\sinh \left(f x +e \right)}+\frac{a^{2}}{\sinh \left(f x +e \right)^{3}}}{\sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`((b^2*sinh(f*x+e)^3+(2*a*b+b^2)*sinh(f*x+e)+(a^2+2*a*b)/sinh(f*x+e)+a^2/sinh(f*x+e)^3)/(a+b*sinh(f*x+e)^2)^(1/2),sinh(f*x+e))/f","C"
473,1,113,179,0.251000," ","int(coth(f*x+e)^5*(a+b*sinh(f*x+e)^2)^(3/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{\left(\cosh^{4}\left(f x +e \right)\right) \left(b^{2} \left(\cosh^{4}\left(f x +e \right)\right)+2 a b \left(\cosh^{2}\left(f x +e \right)\right)-2 b^{2} \left(\cosh^{2}\left(f x +e \right)\right)+a^{2}-2 a b +b^{2}\right)}{\sinh \left(f x +e \right) \left(\cosh^{4}\left(f x +e \right)-2 \left(\cosh^{2}\left(f x +e \right)\right)+1\right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`(1/sinh(f*x+e)/(cosh(f*x+e)^4-2*cosh(f*x+e)^2+1)*cosh(f*x+e)^4*(b^2*cosh(f*x+e)^4+2*a*b*cosh(f*x+e)^2-2*b^2*cosh(f*x+e)^2+a^2-2*a*b+b^2)/(a+b*sinh(f*x+e)^2)^(1/2),sinh(f*x+e))/f","C"
474,1,385,359,0.309000," ","int((a+b*sinh(f*x+e)^2)^(3/2)*tanh(f*x+e)^4,x)","\frac{\sqrt{-\frac{b}{a}}\, b^{2} \sinh \left(f x +e \right) \left(\cosh^{6}\left(f x +e \right)\right)+\left(-3 \sqrt{-\frac{b}{a}}\, a b +7 \sqrt{-\frac{b}{a}}\, b^{2}\right) \left(\cosh^{4}\left(f x +e \right)\right) \sinh \left(f x +e \right)+\left(-4 \sqrt{-\frac{b}{a}}\, a^{2}+13 \sqrt{-\frac{b}{a}}\, a b -9 \sqrt{-\frac{b}{a}}\, b^{2}\right) \left(\cosh^{2}\left(f x +e \right)\right) \sinh \left(f x +e \right)+\left(\sqrt{-\frac{b}{a}}\, a^{2}-2 \sqrt{-\frac{b}{a}}\, a b +\sqrt{-\frac{b}{a}}\, b^{2}\right) \sinh \left(f x +e \right)+\sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \left(3 \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{2}-16 \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a b +16 \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2}+8 \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a b -16 \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2}\right) \left(\cosh^{2}\left(f x +e \right)\right)}{3 \sqrt{-\frac{b}{a}}\, \cosh \left(f x +e \right)^{3} \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"1/3*((-1/a*b)^(1/2)*b^2*sinh(f*x+e)*cosh(f*x+e)^6+(-3*(-1/a*b)^(1/2)*a*b+7*(-1/a*b)^(1/2)*b^2)*cosh(f*x+e)^4*sinh(f*x+e)+(-4*(-1/a*b)^(1/2)*a^2+13*(-1/a*b)^(1/2)*a*b-9*(-1/a*b)^(1/2)*b^2)*cosh(f*x+e)^2*sinh(f*x+e)+((-1/a*b)^(1/2)*a^2-2*(-1/a*b)^(1/2)*a*b+(-1/a*b)^(1/2)*b^2)*sinh(f*x+e)+(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*(3*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^2-16*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b+16*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2+8*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b-16*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2)*cosh(f*x+e)^2)/(-1/a*b)^(1/2)/cosh(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
475,1,414,318,0.280000," ","int((a+b*sinh(f*x+e)^2)^(3/2)*tanh(f*x+e)^2,x)","-\frac{-\sqrt{-\frac{b}{a}}\, b^{2} \left(\sinh^{5}\left(f x +e \right)\right)+2 \sqrt{-\frac{b}{a}}\, a b \left(\sinh^{3}\left(f x +e \right)\right)-4 \sqrt{-\frac{b}{a}}\, b^{2} \left(\sinh^{3}\left(f x +e \right)\right)-3 a^{2} \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)+11 a \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b -8 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2}-7 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a b +8 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2}+3 \sqrt{-\frac{b}{a}}\, a^{2} \sinh \left(f x +e \right)-4 \sqrt{-\frac{b}{a}}\, a b \sinh \left(f x +e \right)}{3 \sqrt{-\frac{b}{a}}\, \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"-1/3*(-(-1/a*b)^(1/2)*b^2*sinh(f*x+e)^5+2*(-1/a*b)^(1/2)*a*b*sinh(f*x+e)^3-4*(-1/a*b)^(1/2)*b^2*sinh(f*x+e)^3-3*a^2*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))+11*a*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b-8*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2-7*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b+8*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2+3*(-1/a*b)^(1/2)*a^2*sinh(f*x+e)-4*(-1/a*b)^(1/2)*a*b*sinh(f*x+e))/(-1/a*b)^(1/2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
476,1,416,214,0.242000," ","int((a+b*sinh(f*x+e)^2)^(3/2),x)","\frac{\sqrt{-\frac{b}{a}}\, b^{2} \sinh \left(f x +e \right) \left(\cosh^{4}\left(f x +e \right)\right)+\left(\sqrt{-\frac{b}{a}}\, a b -\sqrt{-\frac{b}{a}}\, b^{2}\right) \left(\cosh^{2}\left(f x +e \right)\right) \sinh \left(f x +e \right)+3 a^{2} \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)-5 a \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b +2 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2}+4 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a b -2 \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2}}{3 \sqrt{-\frac{b}{a}}\, \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"1/3*((-1/a*b)^(1/2)*b^2*sinh(f*x+e)*cosh(f*x+e)^4+((-1/a*b)^(1/2)*a*b-(-1/a*b)^(1/2)*b^2)*cosh(f*x+e)^2*sinh(f*x+e)+3*a^2*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))-5*a*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b+2*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2+4*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b-2*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2)/(-1/a*b)^(1/2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
477,1,330,314,0.296000," ","int(coth(f*x+e)^2*(a+b*sinh(f*x+e)^2)^(3/2),x)","-\frac{-\sinh \left(f x +e \right) \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \left(3 \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{2}-2 \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a b -\EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2}+7 \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a b +\EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2}\right)-\sqrt{-\frac{b}{a}}\, b^{2} \left(\cosh^{6}\left(f x +e \right)\right)+\left(2 \sqrt{-\frac{b}{a}}\, a b +2 \sqrt{-\frac{b}{a}}\, b^{2}\right) \left(\cosh^{4}\left(f x +e \right)\right)+\left(3 \sqrt{-\frac{b}{a}}\, a^{2}-2 \sqrt{-\frac{b}{a}}\, a b -\sqrt{-\frac{b}{a}}\, b^{2}\right) \left(\cosh^{2}\left(f x +e \right)\right)}{3 \sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}\, \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"-1/3*(-sinh(f*x+e)*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*(3*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^2-2*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b-EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2+7*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b+EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2)-(-1/a*b)^(1/2)*b^2*cosh(f*x+e)^6+(2*(-1/a*b)^(1/2)*a*b+2*(-1/a*b)^(1/2)*b^2)*cosh(f*x+e)^4+(3*(-1/a*b)^(1/2)*a^2-2*(-1/a*b)^(1/2)*a*b-(-1/a*b)^(1/2)*b^2)*cosh(f*x+e)^2)/sinh(f*x+e)/(-1/a*b)^(1/2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
478,1,540,360,0.303000," ","int(coth(f*x+e)^4*(a+b*sinh(f*x+e)^2)^(3/2),x)","-\frac{-\sqrt{-\frac{b}{a}}\, b^{2} \left(\sinh^{8}\left(f x +e \right)\right)+3 \sqrt{-\frac{b}{a}}\, a b \left(\sinh^{6}\left(f x +e \right)\right)+3 \sqrt{-\frac{b}{a}}\, b^{2} \left(\sinh^{6}\left(f x +e \right)\right)-3 a^{2} \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) \left(\sinh^{3}\left(f x +e \right)\right)-2 b \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a \left(\sinh^{3}\left(f x +e \right)\right)+5 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2} \left(\sinh^{3}\left(f x +e \right)\right)-8 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a b \left(\sinh^{3}\left(f x +e \right)\right)-8 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2} \left(\sinh^{3}\left(f x +e \right)\right)+4 \sqrt{-\frac{b}{a}}\, a^{2} \left(\sinh^{4}\left(f x +e \right)\right)+8 \sqrt{-\frac{b}{a}}\, a b \left(\sinh^{4}\left(f x +e \right)\right)+4 \sqrt{-\frac{b}{a}}\, b^{2} \left(\sinh^{4}\left(f x +e \right)\right)+5 \sqrt{-\frac{b}{a}}\, a^{2} \left(\sinh^{2}\left(f x +e \right)\right)+5 \sqrt{-\frac{b}{a}}\, a b \left(\sinh^{2}\left(f x +e \right)\right)+\sqrt{-\frac{b}{a}}\, a^{2}}{3 \sqrt{-\frac{b}{a}}\, \sinh \left(f x +e \right)^{3} \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"-1/3*(-(-1/a*b)^(1/2)*b^2*sinh(f*x+e)^8+3*(-1/a*b)^(1/2)*a*b*sinh(f*x+e)^6+3*(-1/a*b)^(1/2)*b^2*sinh(f*x+e)^6-3*a^2*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*sinh(f*x+e)^3-2*b*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*sinh(f*x+e)^3+5*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2*sinh(f*x+e)^3-8*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b*sinh(f*x+e)^3-8*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2*sinh(f*x+e)^3+4*(-1/a*b)^(1/2)*a^2*sinh(f*x+e)^4+8*(-1/a*b)^(1/2)*a*b*sinh(f*x+e)^4+4*(-1/a*b)^(1/2)*b^2*sinh(f*x+e)^4+5*(-1/a*b)^(1/2)*a^2*sinh(f*x+e)^2+5*(-1/a*b)^(1/2)*a*b*sinh(f*x+e)^2+(-1/a*b)^(1/2)*a^2)/(-1/a*b)^(1/2)/sinh(f*x+e)^3/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
479,1,43,126,0.251000," ","int(tanh(f*x+e)^5/(a+b*sinh(f*x+e)^2)^(1/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{\sinh^{5}\left(f x +e \right)}{\cosh \left(f x +e \right)^{6} \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`(sinh(f*x+e)^5/cosh(f*x+e)^6/(a+b*sinh(f*x+e)^2)^(1/2),sinh(f*x+e))/f","C"
480,1,43,77,0.219000," ","int(tanh(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(1/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{\sinh^{3}\left(f x +e \right)}{\cosh \left(f x +e \right)^{4} \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`(sinh(f*x+e)^3/cosh(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(1/2),sinh(f*x+e))/f","C"
481,1,41,35,0.183000," ","int(tanh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{\sinh \left(f x +e \right)}{\cosh \left(f x +e \right)^{2} \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`(sinh(f*x+e)/cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(1/2),sinh(f*x+e))/f","C"
482,1,35,27,0.149000," ","int(coth(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{1}{\sinh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`(1/sinh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2),sinh(f*x+e))/f","C"
483,1,44,65,0.204000," ","int(coth(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(1/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{\frac{1}{\sinh \left(f x +e \right)}+\frac{1}{\sinh \left(f x +e \right)^{3}}}{\sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`((1/sinh(f*x+e)+1/sinh(f*x+e)^3)/(a+b*sinh(f*x+e)^2)^(1/2),sinh(f*x+e))/f","C"
484,1,54,110,0.221000," ","int(coth(f*x+e)^5/(a+b*sinh(f*x+e)^2)^(1/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{\frac{1}{\sinh \left(f x +e \right)}+\frac{2}{\sinh \left(f x +e \right)^{3}}+\frac{1}{\sinh \left(f x +e \right)^{5}}}{\sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`((1/sinh(f*x+e)+2/sinh(f*x+e)^3+1/sinh(f*x+e)^5)/(a+b*sinh(f*x+e)^2)^(1/2),sinh(f*x+e))/f","C"
485,1,366,283,0.330000," ","int(tanh(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(1/2),x)","\frac{\left(-4 \sqrt{-\frac{b}{a}}\, a b +2 \sqrt{-\frac{b}{a}}\, b^{2}\right) \sinh \left(f x +e \right) \left(\cosh^{4}\left(f x +e \right)\right)+\left(-4 \sqrt{-\frac{b}{a}}\, a^{2}+7 \sqrt{-\frac{b}{a}}\, a b -3 \sqrt{-\frac{b}{a}}\, b^{2}\right) \left(\cosh^{2}\left(f x +e \right)\right) \sinh \left(f x +e \right)+\left(\sqrt{-\frac{b}{a}}\, a^{2}-2 \sqrt{-\frac{b}{a}}\, a b +\sqrt{-\frac{b}{a}}\, b^{2}\right) \sinh \left(f x +e \right)+\sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \left(3 \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{2}-5 \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a b +2 \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2}+4 \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a b -2 \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2}\right) \left(\cosh^{2}\left(f x +e \right)\right)}{3 \cosh \left(f x +e \right)^{3} \left(a -b \right)^{2} \sqrt{-\frac{b}{a}}\, \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"1/3*((-4*(-1/a*b)^(1/2)*a*b+2*(-1/a*b)^(1/2)*b^2)*sinh(f*x+e)*cosh(f*x+e)^4+(-4*(-1/a*b)^(1/2)*a^2+7*(-1/a*b)^(1/2)*a*b-3*(-1/a*b)^(1/2)*b^2)*cosh(f*x+e)^2*sinh(f*x+e)+((-1/a*b)^(1/2)*a^2-2*(-1/a*b)^(1/2)*a*b+(-1/a*b)^(1/2)*b^2)*sinh(f*x+e)+(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*(3*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^2-5*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b+2*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2+4*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b-2*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2)*cosh(f*x+e)^2)/cosh(f*x+e)^3/(a-b)^2/(-1/a*b)^(1/2)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
486,1,239,228,0.298000," ","int(tanh(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(1/2),x)","\frac{-\sqrt{-\frac{b}{a}}\, b \left(\sinh^{3}\left(f x +e \right)\right)+a \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)-b \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)+b \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)-\sqrt{-\frac{b}{a}}\, a \sinh \left(f x +e \right)}{\left(a -b \right) \sqrt{-\frac{b}{a}}\, \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"(-(-1/a*b)^(1/2)*b*sinh(f*x+e)^3+a*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))-b*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))+b*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))-(-1/a*b)^(1/2)*a*sinh(f*x+e))/(a-b)/(-1/a*b)^(1/2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
487,1,86,84,0.158000," ","int(1/(a+b*sinh(f*x+e)^2)^(1/2),x)","\frac{\sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)}{\sqrt{-\frac{b}{a}}\, \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"1/(-1/a*b)^(1/2)*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
488,1,217,275,0.274000," ","int(coth(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(1/2),x)","-\frac{-\sinh \left(f x +e \right) \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \left(a \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)-b \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)+b \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)\right)+\sqrt{-\frac{b}{a}}\, b \left(\cosh^{4}\left(f x +e \right)\right)+\left(\sqrt{-\frac{b}{a}}\, a -\sqrt{-\frac{b}{a}}\, b \right) \left(\cosh^{2}\left(f x +e \right)\right)}{\sqrt{-\frac{b}{a}}\, a \sinh \left(f x +e \right) \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"-(-sinh(f*x+e)*(cosh(f*x+e)^2)^(1/2)*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(a*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))-b*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))+b*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2)))+(-1/a*b)^(1/2)*b*cosh(f*x+e)^4+((-1/a*b)^(1/2)*a-(-1/a*b)^(1/2)*b)*cosh(f*x+e)^2)/(-1/a*b)^(1/2)/a/sinh(f*x+e)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
489,1,522,341,0.335000," ","int(coth(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(1/2),x)","\frac{-4 \sqrt{-\frac{b}{a}}\, a b \left(\sinh^{6}\left(f x +e \right)\right)+2 \sqrt{-\frac{b}{a}}\, b^{2} \left(\sinh^{6}\left(f x +e \right)\right)+3 a^{2} \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) \left(\sinh^{3}\left(f x +e \right)\right)-5 b \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a \left(\sinh^{3}\left(f x +e \right)\right)+2 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2} \left(\sinh^{3}\left(f x +e \right)\right)+4 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a b \left(\sinh^{3}\left(f x +e \right)\right)-2 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2} \left(\sinh^{3}\left(f x +e \right)\right)-4 \sqrt{-\frac{b}{a}}\, a^{2} \left(\sinh^{4}\left(f x +e \right)\right)-3 \sqrt{-\frac{b}{a}}\, a b \left(\sinh^{4}\left(f x +e \right)\right)+2 \sqrt{-\frac{b}{a}}\, b^{2} \left(\sinh^{4}\left(f x +e \right)\right)-5 \sqrt{-\frac{b}{a}}\, a^{2} \left(\sinh^{2}\left(f x +e \right)\right)+\sqrt{-\frac{b}{a}}\, a b \left(\sinh^{2}\left(f x +e \right)\right)-\sqrt{-\frac{b}{a}}\, a^{2}}{3 \sqrt{-\frac{b}{a}}\, a^{2} \sinh \left(f x +e \right)^{3} \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"1/3*(-4*(-1/a*b)^(1/2)*a*b*sinh(f*x+e)^6+2*(-1/a*b)^(1/2)*b^2*sinh(f*x+e)^6+3*a^2*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*sinh(f*x+e)^3-5*b*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*sinh(f*x+e)^3+2*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2*sinh(f*x+e)^3+4*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b*sinh(f*x+e)^3-2*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2*sinh(f*x+e)^3-4*(-1/a*b)^(1/2)*a^2*sinh(f*x+e)^4-3*(-1/a*b)^(1/2)*a*b*sinh(f*x+e)^4+2*(-1/a*b)^(1/2)*b^2*sinh(f*x+e)^4-5*(-1/a*b)^(1/2)*a^2*sinh(f*x+e)^2+(-1/a*b)^(1/2)*a*b*sinh(f*x+e)^2-(-1/a*b)^(1/2)*a^2)/(-1/a*b)^(1/2)/a^2/sinh(f*x+e)^3/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
490,1,103,167,0.399000," ","int(tanh(f*x+e)^5/(a+b*sinh(f*x+e)^2)^(3/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(-\frac{\left(\sinh^{5}\left(f x +e \right)\right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, \left(\cosh^{4}\left(f x +e \right)\right)}{-b^{2} \left(\cosh^{14}\left(f x +e \right)\right)+\left(-2 a b +2 b^{2}\right) \left(\cosh^{12}\left(f x +e \right)\right)+\left(-a^{2}+2 a b -b^{2}\right) \left(\cosh^{10}\left(f x +e \right)\right)}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`(-sinh(f*x+e)^5*(a+b*sinh(f*x+e)^2)^(1/2)*cosh(f*x+e)^4/(-b^2*cosh(f*x+e)^14+(-2*a*b+2*b^2)*cosh(f*x+e)^12+(-a^2+2*a*b-b^2)*cosh(f*x+e)^10),sinh(f*x+e))/f","C"
491,1,103,106,0.404000," ","int(tanh(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(3/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(-\frac{\left(\sinh^{3}\left(f x +e \right)\right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, \left(\cosh^{2}\left(f x +e \right)\right)}{-b^{2} \left(\cosh^{10}\left(f x +e \right)\right)+\left(-2 a b +2 b^{2}\right) \left(\cosh^{8}\left(f x +e \right)\right)+\left(-a^{2}+2 a b -b^{2}\right) \left(\cosh^{6}\left(f x +e \right)\right)}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`(-sinh(f*x+e)^3*(a+b*sinh(f*x+e)^2)^(1/2)*cosh(f*x+e)^2/(-b^2*cosh(f*x+e)^10+(-2*a*b+2*b^2)*cosh(f*x+e)^8+(-a^2+2*a*b-b^2)*cosh(f*x+e)^6),sinh(f*x+e))/f","C"
492,1,93,61,0.234000," ","int(tanh(f*x+e)/(a+b*sinh(f*x+e)^2)^(3/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(-\frac{\sinh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}}{-b^{2} \left(\sinh^{6}\left(f x +e \right)\right)+\left(-2 a b -b^{2}\right) \left(\sinh^{4}\left(f x +e \right)\right)+\left(-a^{2}-2 a b \right) \left(\sinh^{2}\left(f x +e \right)\right)-a^{2}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`(-sinh(f*x+e)*(a+b*sinh(f*x+e)^2)^(1/2)/(-b^2*sinh(f*x+e)^6+(-2*a*b-b^2)*sinh(f*x+e)^4+(-a^2-2*a*b)*sinh(f*x+e)^2-a^2),sinh(f*x+e))/f","C"
493,1,35,49,0.138000," ","int(coth(f*x+e)/(a+b*sinh(f*x+e)^2)^(3/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{1}{\sinh \left(f x +e \right) \left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right)^{\frac{3}{2}}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`(1/sinh(f*x+e)/(a+b*sinh(f*x+e)^2)^(3/2),sinh(f*x+e))/f","C"
494,1,43,94,0.188000," ","int(coth(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(3/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{\cosh^{2}\left(f x +e \right)}{\sinh \left(f x +e \right)^{3} \left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right)^{\frac{3}{2}}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`(cosh(f*x+e)^2/sinh(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(3/2),sinh(f*x+e))/f","C"
495,1,43,147,0.222000," ","int(coth(f*x+e)^5/(a+b*sinh(f*x+e)^2)^(3/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{\cosh^{4}\left(f x +e \right)}{\sinh \left(f x +e \right)^{5} \left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right)^{\frac{3}{2}}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`(cosh(f*x+e)^4/sinh(f*x+e)^5/(a+b*sinh(f*x+e)^2)^(3/2),sinh(f*x+e))/f","C"
496,1,354,341,0.360000," ","int(tanh(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(3/2),x)","-\frac{\left(7 \sqrt{-\frac{b}{a}}\, a b +\sqrt{-\frac{b}{a}}\, b^{2}\right) \sinh \left(f x +e \right) \left(\cosh^{4}\left(f x +e \right)\right)+\left(4 \sqrt{-\frac{b}{a}}\, a^{2}-4 \sqrt{-\frac{b}{a}}\, a b \right) \left(\cosh^{2}\left(f x +e \right)\right) \sinh \left(f x +e \right)+\left(-\sqrt{-\frac{b}{a}}\, a^{2}+2 \sqrt{-\frac{b}{a}}\, a b -\sqrt{-\frac{b}{a}}\, b^{2}\right) \sinh \left(f x +e \right)-\sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \left(3 \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{2}-2 \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a b -\EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2}+7 \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a b +\EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2}\right) \left(\cosh^{2}\left(f x +e \right)\right)}{3 \sqrt{-\frac{b}{a}}\, \cosh \left(f x +e \right)^{3} \left(a -b \right)^{3} \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"-1/3*((7*(-1/a*b)^(1/2)*a*b+(-1/a*b)^(1/2)*b^2)*sinh(f*x+e)*cosh(f*x+e)^4+(4*(-1/a*b)^(1/2)*a^2-4*(-1/a*b)^(1/2)*a*b)*cosh(f*x+e)^2*sinh(f*x+e)+(-(-1/a*b)^(1/2)*a^2+2*(-1/a*b)^(1/2)*a*b-(-1/a*b)^(1/2)*b^2)*sinh(f*x+e)-(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*(3*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^2-2*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b-EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2+7*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b+EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2)*cosh(f*x+e)^2)/(-1/a*b)^(1/2)/cosh(f*x+e)^3/(a-b)^3/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
497,1,256,293,0.322000," ","int(tanh(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(3/2),x)","-\frac{2 \sqrt{-\frac{b}{a}}\, b \left(\sinh^{3}\left(f x +e \right)\right)-a \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)+b \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)-2 b \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)+\sqrt{-\frac{b}{a}}\, a \sinh \left(f x +e \right)+b \sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}}{\left(a -b \right)^{2} \sqrt{-\frac{b}{a}}\, \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"-(2*(-1/a*b)^(1/2)*b*sinh(f*x+e)^3-a*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))+b*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))-2*b*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))+(-1/a*b)^(1/2)*a*sinh(f*x+e)+b*sinh(f*x+e)*(-1/a*b)^(1/2))/(a-b)^2/(-1/a*b)^(1/2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
498,1,252,137,0.256000," ","int(1/(a+b*sinh(f*x+e)^2)^(3/2),x)","\frac{-\sqrt{-\frac{b}{a}}\, b \sinh \left(f x +e \right) \left(\cosh^{2}\left(f x +e \right)\right)+a \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)-\sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b +\sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b}{a \left(a -b \right) \sqrt{-\frac{b}{a}}\, \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"(-(-1/a*b)^(1/2)*b*sinh(f*x+e)*cosh(f*x+e)^2+a*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))-(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b+(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b)/a/(a-b)/(-1/a*b)^(1/2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
499,1,219,303,0.294000," ","int(coth(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(3/2),x)","-\frac{-\sinh \left(f x +e \right) \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \left(a \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)-2 b \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)+2 b \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)\right)+2 \sqrt{-\frac{b}{a}}\, b \left(\cosh^{4}\left(f x +e \right)\right)+\left(\sqrt{-\frac{b}{a}}\, a -2 \sqrt{-\frac{b}{a}}\, b \right) \left(\cosh^{2}\left(f x +e \right)\right)}{a^{2} \sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}\, \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"-(-sinh(f*x+e)*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*(a*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))-2*b*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))+2*b*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2)))+2*(-1/a*b)^(1/2)*b*cosh(f*x+e)^4+((-1/a*b)^(1/2)*a-2*(-1/a*b)^(1/2)*b)*cosh(f*x+e)^2)/a^2/sinh(f*x+e)/(-1/a*b)^(1/2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
500,1,522,395,0.340000," ","int(coth(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(3/2),x)","-\frac{7 \sqrt{-\frac{b}{a}}\, a b \left(\sinh^{6}\left(f x +e \right)\right)-8 \sqrt{-\frac{b}{a}}\, b^{2} \left(\sinh^{6}\left(f x +e \right)\right)-3 a^{2} \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) \left(\sinh^{3}\left(f x +e \right)\right)+11 b \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a \left(\sinh^{3}\left(f x +e \right)\right)-8 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2} \left(\sinh^{3}\left(f x +e \right)\right)-7 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a b \left(\sinh^{3}\left(f x +e \right)\right)+8 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2} \left(\sinh^{3}\left(f x +e \right)\right)+4 \sqrt{-\frac{b}{a}}\, a^{2} \left(\sinh^{4}\left(f x +e \right)\right)+3 \sqrt{-\frac{b}{a}}\, a b \left(\sinh^{4}\left(f x +e \right)\right)-8 \sqrt{-\frac{b}{a}}\, b^{2} \left(\sinh^{4}\left(f x +e \right)\right)+5 \sqrt{-\frac{b}{a}}\, a^{2} \left(\sinh^{2}\left(f x +e \right)\right)-4 \sqrt{-\frac{b}{a}}\, a b \left(\sinh^{2}\left(f x +e \right)\right)+\sqrt{-\frac{b}{a}}\, a^{2}}{3 a^{3} \sinh \left(f x +e \right)^{3} \sqrt{-\frac{b}{a}}\, \cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"-1/3*(7*(-1/a*b)^(1/2)*a*b*sinh(f*x+e)^6-8*(-1/a*b)^(1/2)*b^2*sinh(f*x+e)^6-3*a^2*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*sinh(f*x+e)^3+11*b*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*sinh(f*x+e)^3-8*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2*sinh(f*x+e)^3-7*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b*sinh(f*x+e)^3+8*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2*sinh(f*x+e)^3+4*(-1/a*b)^(1/2)*a^2*sinh(f*x+e)^4+3*(-1/a*b)^(1/2)*a*b*sinh(f*x+e)^4-8*(-1/a*b)^(1/2)*b^2*sinh(f*x+e)^4+5*(-1/a*b)^(1/2)*a^2*sinh(f*x+e)^2-4*(-1/a*b)^(1/2)*a*b*sinh(f*x+e)^2+(-1/a*b)^(1/2)*a^2)/a^3/sinh(f*x+e)^3/(-1/a*b)^(1/2)/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
501,1,213,208,0.454000," ","int(tanh(f*x+e)^5/(a+b*sinh(f*x+e)^2)^(5/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(-\frac{\left(\sinh^{5}\left(f x +e \right)\right) \left(b^{2} \left(\sinh^{4}\left(f x +e \right)\right)+2 a b \left(\sinh^{2}\left(f x +e \right)\right)+a^{2}\right) \left(\cosh^{4}\left(f x +e \right)\right)}{\left(-b^{4} \left(\cosh^{18}\left(f x +e \right)\right)+\left(-4 a \,b^{3}+4 b^{4}\right) \left(\cosh^{16}\left(f x +e \right)\right)+\left(-6 a^{2} b^{2}+12 a \,b^{3}-6 b^{4}\right) \left(\cosh^{14}\left(f x +e \right)\right)+\left(-4 a^{3} b +12 a^{2} b^{2}-12 a \,b^{3}+4 b^{4}\right) \left(\cosh^{12}\left(f x +e \right)\right)+\left(-a^{4}+4 a^{3} b -6 a^{2} b^{2}+4 a \,b^{3}-b^{4}\right) \left(\cosh^{10}\left(f x +e \right)\right)\right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`(-sinh(f*x+e)^5*(b^2*sinh(f*x+e)^4+2*a*b*sinh(f*x+e)^2+a^2)*cosh(f*x+e)^4/(-b^4*cosh(f*x+e)^18+(-4*a*b^3+4*b^4)*cosh(f*x+e)^16+(-6*a^2*b^2+12*a*b^3-6*b^4)*cosh(f*x+e)^14+(-4*a^3*b+12*a^2*b^2-12*a*b^3+4*b^4)*cosh(f*x+e)^12+(-a^4+4*a^3*b-6*a^2*b^2+4*a*b^3-b^4)*cosh(f*x+e)^10)/(a+b*sinh(f*x+e)^2)^(1/2),sinh(f*x+e))/f","C"
502,1,213,143,0.388000," ","int(tanh(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(5/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(-\frac{\left(\sinh^{3}\left(f x +e \right)\right) \left(b^{2} \left(\sinh^{4}\left(f x +e \right)\right)+2 a b \left(\sinh^{2}\left(f x +e \right)\right)+a^{2}\right) \left(\cosh^{2}\left(f x +e \right)\right)}{\left(-b^{4} \left(\cosh^{14}\left(f x +e \right)\right)+\left(-4 a \,b^{3}+4 b^{4}\right) \left(\cosh^{12}\left(f x +e \right)\right)+\left(-6 a^{2} b^{2}+12 a \,b^{3}-6 b^{4}\right) \left(\cosh^{10}\left(f x +e \right)\right)+\left(-4 a^{3} b +12 a^{2} b^{2}-12 a \,b^{3}+4 b^{4}\right) \left(\cosh^{8}\left(f x +e \right)\right)+\left(-a^{4}+4 a^{3} b -6 a^{2} b^{2}+4 a \,b^{3}-b^{4}\right) \left(\cosh^{6}\left(f x +e \right)\right)\right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`(-sinh(f*x+e)^3*(b^2*sinh(f*x+e)^4+2*a*b*sinh(f*x+e)^2+a^2)*cosh(f*x+e)^2/(-b^4*cosh(f*x+e)^14+(-4*a*b^3+4*b^4)*cosh(f*x+e)^12+(-6*a^2*b^2+12*a*b^3-6*b^4)*cosh(f*x+e)^10+(-4*a^3*b+12*a^2*b^2-12*a*b^3+4*b^4)*cosh(f*x+e)^8+(-a^4+4*a^3*b-6*a^2*b^2+4*a*b^3-b^4)*cosh(f*x+e)^6)/(a+b*sinh(f*x+e)^2)^(1/2),sinh(f*x+e))/f","C"
503,1,173,87,0.319000," ","int(tanh(f*x+e)/(a+b*sinh(f*x+e)^2)^(5/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(-\frac{\sinh \left(f x +e \right) \left(b^{2} \left(\sinh^{4}\left(f x +e \right)\right)+2 a b \left(\sinh^{2}\left(f x +e \right)\right)+a^{2}\right)}{\left(-b^{4} \left(\sinh^{10}\left(f x +e \right)\right)+\left(-4 a \,b^{3}-b^{4}\right) \left(\sinh^{8}\left(f x +e \right)\right)+\left(-6 a^{2} b^{2}-4 a \,b^{3}\right) \left(\sinh^{6}\left(f x +e \right)\right)+\left(-4 a^{3} b -6 a^{2} b^{2}\right) \left(\sinh^{4}\left(f x +e \right)\right)+\left(-a^{4}-4 a^{3} b \right) \left(\sinh^{2}\left(f x +e \right)\right)-a^{4}\right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`(-sinh(f*x+e)*(b^2*sinh(f*x+e)^4+2*a*b*sinh(f*x+e)^2+a^2)/(-b^4*sinh(f*x+e)^10+(-4*a*b^3-b^4)*sinh(f*x+e)^8+(-6*a^2*b^2-4*a*b^3)*sinh(f*x+e)^6+(-4*a^3*b-6*a^2*b^2)*sinh(f*x+e)^4+(-a^4-4*a^3*b)*sinh(f*x+e)^2-a^4)/(a+b*sinh(f*x+e)^2)^(1/2),sinh(f*x+e))/f","C"
504,1,65,71,0.172000," ","int(coth(f*x+e)/(a+b*sinh(f*x+e)^2)^(5/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{1}{\left(b^{2} \left(\sinh^{4}\left(f x +e \right)\right)+2 a b \left(\sinh^{2}\left(f x +e \right)\right)+a^{2}\right) \sinh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`(1/(b^2*sinh(f*x+e)^4+2*a*b*sinh(f*x+e)^2+a^2)/sinh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2),sinh(f*x+e))/f","C"
505,1,73,123,0.219000," ","int(coth(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(5/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{\cosh^{2}\left(f x +e \right)}{\left(b^{2} \left(\sinh^{4}\left(f x +e \right)\right)+2 a b \left(\sinh^{2}\left(f x +e \right)\right)+a^{2}\right) \sinh \left(f x +e \right)^{3} \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`(cosh(f*x+e)^2/(b^2*sinh(f*x+e)^4+2*a*b*sinh(f*x+e)^2+a^2)/sinh(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(1/2),sinh(f*x+e))/f","C"
506,1,73,184,0.265000," ","int(coth(f*x+e)^5/(a+b*sinh(f*x+e)^2)^(5/2),x)","\frac{\mathit{`\,int/indef0`\,}\left(\frac{\cosh^{4}\left(f x +e \right)}{\left(b^{2} \left(\sinh^{4}\left(f x +e \right)\right)+2 a b \left(\sinh^{2}\left(f x +e \right)\right)+a^{2}\right) \sinh \left(f x +e \right)^{5} \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}}, \sinh \left(f x +e \right)\right)}{f}"," ",0,"`int/indef0`(cosh(f*x+e)^4/(b^2*sinh(f*x+e)^4+2*a*b*sinh(f*x+e)^2+a^2)/sinh(f*x+e)^5/(a+b*sinh(f*x+e)^2)^(1/2),sinh(f*x+e))/f","C"
507,1,663,395,0.395000," ","int(tanh(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(5/2),x)","-\frac{\left(8 \sqrt{-\frac{b}{a}}\, a \,b^{2}+8 \sqrt{-\frac{b}{a}}\, b^{3}\right) \sinh \left(f x +e \right) \left(\cosh^{6}\left(f x +e \right)\right)+\left(13 \sqrt{-\frac{b}{a}}\, a^{2} b -2 \sqrt{-\frac{b}{a}}\, a \,b^{2}-11 \sqrt{-\frac{b}{a}}\, b^{3}\right) \left(\cosh^{4}\left(f x +e \right)\right) \sinh \left(f x +e \right)+\left(4 \sqrt{-\frac{b}{a}}\, a^{3}-6 \sqrt{-\frac{b}{a}}\, a^{2} b +2 \sqrt{-\frac{b}{a}}\, b^{3}\right) \left(\cosh^{2}\left(f x +e \right)\right) \sinh \left(f x +e \right)+\left(-\sqrt{-\frac{b}{a}}\, a^{3}+3 \sqrt{-\frac{b}{a}}\, a^{2} b -3 \sqrt{-\frac{b}{a}}\, a \,b^{2}+\sqrt{-\frac{b}{a}}\, b^{3}\right) \sinh \left(f x +e \right)-\sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, b \left(3 \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{2}+2 \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a b -5 \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2}+8 \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a b +8 \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2}\right) \left(\cosh^{4}\left(f x +e \right)\right)-\sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \left(3 \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{3}-\EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{2} b -7 \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a \,b^{2}+5 \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{3}+8 \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{2} b -8 \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{3}\right) \left(\cosh^{2}\left(f x +e \right)\right)}{3 \cosh \left(f x +e \right)^{3} \sqrt{-\frac{b}{a}}\, \left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right)^{\frac{3}{2}} \left(a -b \right)^{4} f}"," ",0,"-1/3*((8*(-1/a*b)^(1/2)*a*b^2+8*(-1/a*b)^(1/2)*b^3)*sinh(f*x+e)*cosh(f*x+e)^6+(13*(-1/a*b)^(1/2)*a^2*b-2*(-1/a*b)^(1/2)*a*b^2-11*(-1/a*b)^(1/2)*b^3)*cosh(f*x+e)^4*sinh(f*x+e)+(4*(-1/a*b)^(1/2)*a^3-6*(-1/a*b)^(1/2)*a^2*b+2*(-1/a*b)^(1/2)*b^3)*cosh(f*x+e)^2*sinh(f*x+e)+(-(-1/a*b)^(1/2)*a^3+3*(-1/a*b)^(1/2)*a^2*b-3*(-1/a*b)^(1/2)*a*b^2+(-1/a*b)^(1/2)*b^3)*sinh(f*x+e)-(cosh(f*x+e)^2)^(1/2)*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*b*(3*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^2+2*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b-5*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2+8*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b+8*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2)*cosh(f*x+e)^4-(cosh(f*x+e)^2)^(1/2)*(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(3*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^3-EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^2*b-7*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b^2+5*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^3+8*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^2*b-8*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^3)*cosh(f*x+e)^2)/cosh(f*x+e)^3/(-1/a*b)^(1/2)/(a+b*sinh(f*x+e)^2)^(3/2)/(a-b)^4/f","A"
508,1,799,342,0.362000," ","int(tanh(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(5/2),x)","\frac{-7 \sqrt{-\frac{b}{a}}\, a \,b^{2} \left(\sinh^{5}\left(f x +e \right)\right)-\sqrt{-\frac{b}{a}}\, b^{3} \left(\sinh^{5}\left(f x +e \right)\right)+3 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{2} b \left(\sinh^{2}\left(f x +e \right)\right)-2 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a \,b^{2} \left(\sinh^{2}\left(f x +e \right)\right)-\sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{3} \left(\sinh^{2}\left(f x +e \right)\right)+7 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a \,b^{2} \left(\sinh^{2}\left(f x +e \right)\right)+\sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{3} \left(\sinh^{2}\left(f x +e \right)\right)-11 \sqrt{-\frac{b}{a}}\, a^{2} b \left(\sinh^{3}\left(f x +e \right)\right)-4 \sqrt{-\frac{b}{a}}\, a \,b^{2} \left(\sinh^{3}\left(f x +e \right)\right)-\sqrt{-\frac{b}{a}}\, b^{3} \left(\sinh^{3}\left(f x +e \right)\right)+3 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{3}-2 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{2} b -\sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a \,b^{2}+7 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{2} b +\sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a \,b^{2}-3 \sqrt{-\frac{b}{a}}\, a^{3} \sinh \left(f x +e \right)-5 \sinh \left(f x +e \right) b \,a^{2} \sqrt{-\frac{b}{a}}}{3 \sqrt{-\frac{b}{a}}\, \left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right)^{\frac{3}{2}} \left(a -b \right)^{3} a \cosh \left(f x +e \right) f}"," ",0,"1/3*(-7*(-1/a*b)^(1/2)*a*b^2*sinh(f*x+e)^5-(-1/a*b)^(1/2)*b^3*sinh(f*x+e)^5+3*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^2*b*sinh(f*x+e)^2-2*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b^2*sinh(f*x+e)^2-((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^3*sinh(f*x+e)^2+7*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b^2*sinh(f*x+e)^2+((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^3*sinh(f*x+e)^2-11*(-1/a*b)^(1/2)*a^2*b*sinh(f*x+e)^3-4*(-1/a*b)^(1/2)*a*b^2*sinh(f*x+e)^3-(-1/a*b)^(1/2)*b^3*sinh(f*x+e)^3+3*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^3-2*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^2*b-((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b^2+7*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^2*b+((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b^2-3*(-1/a*b)^(1/2)*a^3*sinh(f*x+e)-5*sinh(f*x+e)*b*a^2*(-1/a*b)^(1/2))/(-1/a*b)^(1/2)/(a+b*sinh(f*x+e)^2)^(3/2)/(a-b)^3/a/cosh(f*x+e)/f","B"
509,1,406,287,0.580000," ","int(1/(a+b*sinh(f*x+e)^2)^(5/2),x)","\frac{\sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}\, \left(-\frac{\sinh \left(f x +e \right) \sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}}{3 a b \left(a -b \right) \left(\sinh^{2}\left(f x +e \right)+\frac{a}{b}\right)^{2}}-\frac{2 b \left(\cosh^{2}\left(f x +e \right)\right) \sinh \left(f x +e \right) \left(2 a -b \right)}{3 a^{2} \left(a -b \right)^{2} \sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}}+\frac{\left(3 a -b \right) \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)}{\left(3 a^{3}-6 a^{2} b +3 a \,b^{2}\right) \sqrt{-\frac{b}{a}}\, \sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}}-\frac{2 b \left(2 a -b \right) \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \left(\EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)-\EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right)\right)}{3 a^{2} \left(a -b \right)^{2} \sqrt{-\frac{b}{a}}\, \sqrt{\left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right) \left(\cosh^{2}\left(f x +e \right)\right)}}\right)}{\cosh \left(f x +e \right) \sqrt{a +b \left(\sinh^{2}\left(f x +e \right)\right)}\, f}"," ",0,"((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)*(-1/3/a/b/(a-b)*sinh(f*x+e)*((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)/(sinh(f*x+e)^2+a/b)^2-2/3*b*cosh(f*x+e)^2/a^2/(a-b)^2*sinh(f*x+e)*(2*a-b)/((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)+(3*a-b)/(3*a^3-6*a^2*b+3*a*b^2)/(-1/a*b)^(1/2)*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)/((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))-2/3*b*(2*a-b)/a^2/(a-b)^2/(-1/a*b)^(1/2)*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)/((a+b*sinh(f*x+e)^2)*cosh(f*x+e)^2)^(1/2)*(EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))-EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))))/cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(1/2)/f","A"
510,1,642,403,0.381000," ","int(coth(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(5/2),x)","-\frac{-\sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, b \left(3 \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{2}-11 \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a b +8 \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2}+7 \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a b -8 \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{2}\right) \sinh \left(f x +e \right) \left(\cosh^{2}\left(f x +e \right)\right)-\sqrt{\frac{b \left(\cosh^{2}\left(f x +e \right)\right)}{a}+\frac{a -b}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \left(3 \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{3}-14 \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{2} b +19 \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a \,b^{2}-8 \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{3}+7 \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{2} b -15 \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a \,b^{2}+8 \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{3}\right) \sinh \left(f x +e \right)+\left(7 \sqrt{-\frac{b}{a}}\, a \,b^{2}-8 \sqrt{-\frac{b}{a}}\, b^{3}\right) \left(\cosh^{6}\left(f x +e \right)\right)+\left(11 \sqrt{-\frac{b}{a}}\, a^{2} b -26 \sqrt{-\frac{b}{a}}\, a \,b^{2}+16 \sqrt{-\frac{b}{a}}\, b^{3}\right) \left(\cosh^{4}\left(f x +e \right)\right)+\left(3 \sqrt{-\frac{b}{a}}\, a^{3}-14 \sqrt{-\frac{b}{a}}\, a^{2} b +19 \sqrt{-\frac{b}{a}}\, a \,b^{2}-8 \sqrt{-\frac{b}{a}}\, b^{3}\right) \left(\cosh^{2}\left(f x +e \right)\right)}{3 a^{3} \left(a -b \right) \left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right)^{\frac{3}{2}} \sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}\, \cosh \left(f x +e \right) f}"," ",0,"-1/3*(-(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*b*(3*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^2-11*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b+8*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2+7*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b-8*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^2)*sinh(f*x+e)*cosh(f*x+e)^2-(b/a*cosh(f*x+e)^2+(a-b)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*(3*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^3-14*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^2*b+19*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b^2-8*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^3+7*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^2*b-15*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b^2+8*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^3)*sinh(f*x+e)+(7*(-1/a*b)^(1/2)*a*b^2-8*(-1/a*b)^(1/2)*b^3)*cosh(f*x+e)^6+(11*(-1/a*b)^(1/2)*a^2*b-26*(-1/a*b)^(1/2)*a*b^2+16*(-1/a*b)^(1/2)*b^3)*cosh(f*x+e)^4+(3*(-1/a*b)^(1/2)*a^3-14*(-1/a*b)^(1/2)*a^2*b+19*(-1/a*b)^(1/2)*a*b^2-8*(-1/a*b)^(1/2)*b^3)*cosh(f*x+e)^2)/a^3/(a-b)/(a+b*sinh(f*x+e)^2)^(3/2)/sinh(f*x+e)/(-1/a*b)^(1/2)/cosh(f*x+e)/f","A"
511,1,923,433,0.374000," ","int(coth(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(5/2),x)","-\frac{8 \sqrt{-\frac{b}{a}}\, a \,b^{2} \left(\sinh^{8}\left(f x +e \right)\right)-16 \sqrt{-\frac{b}{a}}\, b^{3} \left(\sinh^{8}\left(f x +e \right)\right)-3 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{2} b \left(\sinh^{5}\left(f x +e \right)\right)+16 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a \,b^{2} \left(\sinh^{5}\left(f x +e \right)\right)-16 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{3} \left(\sinh^{5}\left(f x +e \right)\right)-8 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a \,b^{2} \left(\sinh^{5}\left(f x +e \right)\right)+16 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) b^{3} \left(\sinh^{5}\left(f x +e \right)\right)+13 \sqrt{-\frac{b}{a}}\, a^{2} b \left(\sinh^{6}\left(f x +e \right)\right)-16 \sqrt{-\frac{b}{a}}\, a \,b^{2} \left(\sinh^{6}\left(f x +e \right)\right)-16 \sqrt{-\frac{b}{a}}\, b^{3} \left(\sinh^{6}\left(f x +e \right)\right)-3 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{3} \left(\sinh^{3}\left(f x +e \right)\right)+16 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{2} b \left(\sinh^{3}\left(f x +e \right)\right)-16 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticF \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a \,b^{2} \left(\sinh^{3}\left(f x +e \right)\right)-8 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a^{2} b \left(\sinh^{3}\left(f x +e \right)\right)+16 \sqrt{\frac{a +b \left(\sinh^{2}\left(f x +e \right)\right)}{a}}\, \sqrt{\frac{\cosh \left(2 f x +2 e \right)}{2}+\frac{1}{2}}\, \EllipticE \left(\sinh \left(f x +e \right) \sqrt{-\frac{b}{a}}, \sqrt{\frac{a}{b}}\right) a \,b^{2} \left(\sinh^{3}\left(f x +e \right)\right)+4 \sqrt{-\frac{b}{a}}\, a^{3} \left(\sinh^{4}\left(f x +e \right)\right)+7 \sqrt{-\frac{b}{a}}\, a^{2} b \left(\sinh^{4}\left(f x +e \right)\right)-24 \sqrt{-\frac{b}{a}}\, a \,b^{2} \left(\sinh^{4}\left(f x +e \right)\right)+5 \sqrt{-\frac{b}{a}}\, a^{3} \left(\sinh^{2}\left(f x +e \right)\right)-6 \sqrt{-\frac{b}{a}}\, a^{2} b \left(\sinh^{2}\left(f x +e \right)\right)+\sqrt{-\frac{b}{a}}\, a^{3}}{3 a^{4} \left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right)^{\frac{3}{2}} \sqrt{-\frac{b}{a}}\, \sinh \left(f x +e \right)^{3} \cosh \left(f x +e \right) f}"," ",0,"-1/3*(8*(-1/a*b)^(1/2)*a*b^2*sinh(f*x+e)^8-16*(-1/a*b)^(1/2)*b^3*sinh(f*x+e)^8-3*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^2*b*sinh(f*x+e)^5+16*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b^2*sinh(f*x+e)^5-16*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^3*sinh(f*x+e)^5-8*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b^2*sinh(f*x+e)^5+16*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*b^3*sinh(f*x+e)^5+13*(-1/a*b)^(1/2)*a^2*b*sinh(f*x+e)^6-16*(-1/a*b)^(1/2)*a*b^2*sinh(f*x+e)^6-16*(-1/a*b)^(1/2)*b^3*sinh(f*x+e)^6-3*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^3*sinh(f*x+e)^3+16*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^2*b*sinh(f*x+e)^3-16*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticF(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b^2*sinh(f*x+e)^3-8*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a^2*b*sinh(f*x+e)^3+16*((a+b*sinh(f*x+e)^2)/a)^(1/2)*(cosh(f*x+e)^2)^(1/2)*EllipticE(sinh(f*x+e)*(-1/a*b)^(1/2),(a/b)^(1/2))*a*b^2*sinh(f*x+e)^3+4*(-1/a*b)^(1/2)*a^3*sinh(f*x+e)^4+7*(-1/a*b)^(1/2)*a^2*b*sinh(f*x+e)^4-24*(-1/a*b)^(1/2)*a*b^2*sinh(f*x+e)^4+5*(-1/a*b)^(1/2)*a^3*sinh(f*x+e)^2-6*(-1/a*b)^(1/2)*a^2*b*sinh(f*x+e)^2+(-1/a*b)^(1/2)*a^3)/a^4/(a+b*sinh(f*x+e)^2)^(3/2)/(-1/a*b)^(1/2)/sinh(f*x+e)^3/cosh(f*x+e)/f","B"
512,0,0,114,0.451000," ","int((a+b*sinh(f*x+e)^2)^p*(d*tanh(f*x+e))^m,x)","\int \left(a +b \left(\sinh^{2}\left(f x +e \right)\right)\right)^{p} \left(d \tanh \left(f x +e \right)\right)^{m}\, dx"," ",0,"int((a+b*sinh(f*x+e)^2)^p*(d*tanh(f*x+e))^m,x)","F"
513,0,0,108,0.584000," ","int((a+b*sinh(d*x+c)^2)^p*tanh(d*x+c)^3,x)","\int \left(a +b \left(\sinh^{2}\left(d x +c \right)\right)\right)^{p} \left(\tanh^{3}\left(d x +c \right)\right)\, dx"," ",0,"int((a+b*sinh(d*x+c)^2)^p*tanh(d*x+c)^3,x)","F"
514,0,0,63,0.440000," ","int((a+b*sinh(d*x+c)^2)^p*tanh(d*x+c),x)","\int \left(a +b \left(\sinh^{2}\left(d x +c \right)\right)\right)^{p} \tanh \left(d x +c \right)\, dx"," ",0,"int((a+b*sinh(d*x+c)^2)^p*tanh(d*x+c),x)","F"
515,0,0,54,0.449000," ","int(coth(d*x+c)*(a+b*sinh(d*x+c)^2)^p,x)","\int \coth \left(d x +c \right) \left(a +b \left(\sinh^{2}\left(d x +c \right)\right)\right)^{p}\, dx"," ",0,"int(coth(d*x+c)*(a+b*sinh(d*x+c)^2)^p,x)","F"
516,0,0,92,0.472000," ","int(coth(d*x+c)^3*(a+b*sinh(d*x+c)^2)^p,x)","\int \left(\coth^{3}\left(d x +c \right)\right) \left(a +b \left(\sinh^{2}\left(d x +c \right)\right)\right)^{p}\, dx"," ",0,"int(coth(d*x+c)^3*(a+b*sinh(d*x+c)^2)^p,x)","F"
517,0,0,93,0.422000," ","int((a+b*sinh(d*x+c)^2)^p*tanh(d*x+c)^4,x)","\int \left(a +b \left(\sinh^{2}\left(d x +c \right)\right)\right)^{p} \left(\tanh^{4}\left(d x +c \right)\right)\, dx"," ",0,"int((a+b*sinh(d*x+c)^2)^p*tanh(d*x+c)^4,x)","F"
518,0,0,93,0.411000," ","int((a+b*sinh(d*x+c)^2)^p*tanh(d*x+c)^2,x)","\int \left(a +b \left(\sinh^{2}\left(d x +c \right)\right)\right)^{p} \left(\tanh^{2}\left(d x +c \right)\right)\, dx"," ",0,"int((a+b*sinh(d*x+c)^2)^p*tanh(d*x+c)^2,x)","F"
519,0,0,91,0.409000," ","int(coth(d*x+c)^2*(a+b*sinh(d*x+c)^2)^p,x)","\int \left(\coth^{2}\left(d x +c \right)\right) \left(a +b \left(\sinh^{2}\left(d x +c \right)\right)\right)^{p}\, dx"," ",0,"int(coth(d*x+c)^2*(a+b*sinh(d*x+c)^2)^p,x)","F"
520,0,0,93,0.405000," ","int(coth(d*x+c)^4*(a+b*sinh(d*x+c)^2)^p,x)","\int \left(\coth^{4}\left(d x +c \right)\right) \left(a +b \left(\sinh^{2}\left(d x +c \right)\right)\right)^{p}\, dx"," ",0,"int(coth(d*x+c)^4*(a+b*sinh(d*x+c)^2)^p,x)","F"
521,1,132,112,0.151000," ","int(coth(x)^3/(a+b*sinh(x)^3),x)","-\frac{\tanh^{2}\left(\frac{x}{2}\right)}{8 a}+\frac{\munderset{\textit{\_R} =\RootOf \left(a \,\textit{\_Z}^{6}-3 a \,\textit{\_Z}^{4}-8 b \,\textit{\_Z}^{3}+3 a \,\textit{\_Z}^{2}-a \right)}{\sum}\frac{\left(-\textit{\_R}^{5} a -\textit{\_R}^{4} b +2 \textit{\_R}^{3} a +4 \textit{\_R}^{2} b -\textit{\_R} a +b \right) \ln \left(\tanh \left(\frac{x}{2}\right)-\textit{\_R} \right)}{\textit{\_R}^{5} a -2 \textit{\_R}^{3} a -4 \textit{\_R}^{2} b +\textit{\_R} a}}{3 a}-\frac{1}{8 a \tanh \left(\frac{x}{2}\right)^{2}}+\frac{\ln \left(\tanh \left(\frac{x}{2}\right)\right)}{a}"," ",0,"-1/8*tanh(1/2*x)^2/a+1/3/a*sum((-_R^5*a-_R^4*b+2*_R^3*a+4*_R^2*b-_R*a+b)/(_R^5*a-2*_R^3*a-4*_R^2*b+_R*a)*ln(tanh(1/2*x)-_R),_R=RootOf(_Z^6*a-3*_Z^4*a-8*_Z^3*b+3*_Z^2*a-a))-1/8/a/tanh(1/2*x)^2+1/a*ln(tanh(1/2*x))","C"
522,1,21,20,0.579000," ","int(coth(x)/(a+b*sinh(x)^3)^(1/2),x)","-\frac{2 \arctanh \left(\frac{\sqrt{a +b \left(\sinh^{3}\left(x \right)\right)}}{\sqrt{a}}\right)}{3 \sqrt{a}}"," ",0,"-2/3*arctanh((a+b*sinh(x)^3)^(1/2)/a^(1/2))/a^(1/2)","A"
523,1,34,33,0.125000," ","int(coth(x)*(a+b*sinh(x)^3)^(1/2),x)","-\frac{2 \arctanh \left(\frac{\sqrt{a +b \left(\sinh^{3}\left(x \right)\right)}}{\sqrt{a}}\right) \sqrt{a}}{3}+\frac{2 \sqrt{a +b \left(\sinh^{3}\left(x \right)\right)}}{3}"," ",0,"-2/3*arctanh((a+b*sinh(x)^3)^(1/2)/a^(1/2))*a^(1/2)+2/3*(a+b*sinh(x)^3)^(1/2)","A"
524,1,24,23,0.066000," ","int(coth(x)/(a+b*sinh(x)^n)^(1/2),x)","-\frac{2 \arctanh \left(\frac{\sqrt{a +b \left(\sinh^{n}\left(x \right)\right)}}{\sqrt{a}}\right)}{n \sqrt{a}}"," ",0,"-2*arctanh((a+b*sinh(x)^n)^(1/2)/a^(1/2))/n/a^(1/2)","A"
525,1,38,39,0.046000," ","int(coth(x)*(a+b*sinh(x)^n)^(1/2),x)","\frac{2 \sqrt{a +b \left(\sinh^{n}\left(x \right)\right)}-2 \sqrt{a}\, \arctanh \left(\frac{\sqrt{a +b \left(\sinh^{n}\left(x \right)\right)}}{\sqrt{a}}\right)}{n}"," ",0,"1/n*(2*(a+b*sinh(x)^n)^(1/2)-2*a^(1/2)*arctanh((a+b*sinh(x)^n)^(1/2)/a^(1/2)))","A"